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diff --git a/manifests/batches/deepseek/000000.json b/manifests/batches/deepseek/000000.json
index a527d6d056e4eac5211ac16110fff90c4abebe35..8d67789a03d96b090b9d163a2e205b58c9d9ee72 100644
--- a/manifests/batches/deepseek/000000.json
+++ b/manifests/batches/deepseek/000000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000000",
   "batch_fingerprint": "f60b7a8778b20a68be42f71d0c23c0e13f6cc96ff038cd597f3722b31215d5a4",
   "evidence": {
@@ -14,29 +13,7 @@
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     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000000-0000-e0cee0ee5b975b19.parquet",
-      "sha256": "e0cee0ee5b975b19521f9330af475183bc7e6782061bf839494c6bf27a4032c9",
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-      "rows": 93,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
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-      "path": "data/dev/deepseek-000000-0000-4a475f7b53f11950.parquet",
-      "sha256": "4a475f7b53f119501a011de75a39ce3933ba1467cc256be405cb4290e07737cf",
-      "bytes": 31569,
-      "rows": 1,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
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-    {
-      "path": "data/internal_test/deepseek-000000-0000-5296e7648fcf6817.parquet",
-      "sha256": "5296e7648fcf68176f68afc3f9e198c8aed801d9d796a80483fd8c6d4343113b",
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-      "rows": 11,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_0",
     "deepseek:thm_1",
@@ -140,5 +117,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 304842,
+      "path": "data/train/pcf/deepseek-000000-0000-e0cee0ee5b975b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "e0cee0ee5b975b19521f9330af475183bc7e6782061bf839494c6bf27a4032c9"
+    },
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+      "path": "data/dev/pcf/deepseek-000000-0000-4a475f7b53f11950.parquet",
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+      "sha256": "4a475f7b53f119501a011de75a39ce3933ba1467cc256be405cb4290e07737cf"
+    },
+    {
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+      "path": "data/internal_test/pcf/deepseek-000000-0000-5296e7648fcf6817.parquet",
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   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000001.json b/manifests/batches/deepseek/000001.json
index 8a6588860e407615330573084eec5fe70190dab7..b26542b7a273db7558e462d4b445cec397c030ea 100644
--- a/manifests/batches/deepseek/000001.json
+++ b/manifests/batches/deepseek/000001.json
@@ -1,5 +1,4 @@
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-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000001",
   "batch_fingerprint": "02668b57e502483ab805fa67f5bdd09d2f3e265f6054954497d945f02a73402e",
   "evidence": {
@@ -18,29 +17,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000001-0000-e7f6ee41e83c56af.parquet",
-      "sha256": "e7f6ee41e83c56af19136252eb80e6f430cbe6de9a0a869913dcf9e768fca686",
-      "bytes": 369573,
-      "rows": 97,
-      "revision": "ee89c3a6a5825f98ce0268d5db82c18b71b7c85a"
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-      "path": "data/dev/deepseek-000001-0000-7045fcaddda9c2c4.parquet",
-      "sha256": "7045fcaddda9c2c4df6f711ab08c772d81ad129da408b9c3c8a282a433e16bf9",
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-      "rows": 4,
-      "revision": "ee89c3a6a5825f98ce0268d5db82c18b71b7c85a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000001-0000-4151c935a1ca85e1.parquet",
-      "sha256": "4151c935a1ca85e16201dd26209d6638ae930f4b49ec2f789d92e713eecf6bef",
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-      "rows": 17,
-      "revision": "ee89c3a6a5825f98ce0268d5db82c18b71b7c85a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_100",
     "deepseek:thm_50",
@@ -144,5 +121,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 369573,
+      "path": "data/train/p0b/deepseek-000001-0000-e7f6ee41e83c56af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "e7f6ee41e83c56af19136252eb80e6f430cbe6de9a0a869913dcf9e768fca686"
+    },
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+      "sha256": "7045fcaddda9c2c4df6f711ab08c772d81ad129da408b9c3c8a282a433e16bf9"
+    },
+    {
+      "bytes": 85955,
+      "path": "data/internal_test/p0b/deepseek-000001-0000-4151c935a1ca85e1.parquet",
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+      "sha256": "4151c935a1ca85e16201dd26209d6638ae930f4b49ec2f789d92e713eecf6bef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000002.json b/manifests/batches/deepseek/000002.json
index b689b65fba0f6e76baea5419dd38e2b71c4b2472..4596b42d28efbf5ed9e492818695b9d97d99cebf 100644
--- a/manifests/batches/deepseek/000002.json
+++ b/manifests/batches/deepseek/000002.json
@@ -1,5 +1,4 @@
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-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000002",
   "batch_fingerprint": "75be5330cbe2417df76697615ff64442d877daadd55177a500c4b68abdf8ed02",
   "evidence": {
@@ -18,29 +17,7 @@
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   },
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-      "path": "data/train/deepseek-000002-0000-5ba2f2f8553552fb.parquet",
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-      "rows": 97,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
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-      "sha256": "f1a18641a8d798377c6135b0325f414393a86bb4498a0a31391eb34645a06a44",
-      "bytes": 39035,
-      "rows": 9,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/internal_test/deepseek-000002-0000-b91d77ec82e17a35.parquet",
-      "sha256": "b91d77ec82e17a3557529d87b526f0bce780e467a7b20125bc803916e87f21e5",
-      "bytes": 64268,
-      "rows": 17,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_101",
     "deepseek:thm_102",
@@ -144,5 +121,28 @@
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+  ],
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+      "path": "data/train/p0c/deepseek-000002-0000-5ba2f2f8553552fb.parquet",
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+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b91d77ec82e17a3557529d87b526f0bce780e467a7b20125bc803916e87f21e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000003.json b/manifests/batches/deepseek/000003.json
index 5b73c4400ea257e3da9675df90d735d06fda8b57..49b36debf95ac69d5c040d68b9aa42291ae8c8dd 100644
--- a/manifests/batches/deepseek/000003.json
+++ b/manifests/batches/deepseek/000003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000003",
   "batch_fingerprint": "fdf1a5a314e071e9eeeafb19f72e4460c26bdab1a909c35058f82fc4cb5316d1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000003-0000-4a6fcd22fdb6ab68.parquet",
-      "sha256": "4a6fcd22fdb6ab68d27c399a98d6964d67111c0807cbb9f21cb46d617fdd15c2",
-      "bytes": 310468,
-      "rows": 87,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/internal_test/deepseek-000003-0000-380ef5589b97dcfa.parquet",
-      "sha256": "380ef5589b97dcfaa10687865ee367d963014723705740626180ba78f3d9d097",
-      "bytes": 132701,
-      "rows": 34,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_151",
     "deepseek:thm_152",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000197.lean\",\"31abcaa58ed4484573666b0cd3d58f20e5a7d9ccbd5328d59c19663b573b0702\",0,\"thm_199\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000198.lean\",\"9452908afc727604a3a8d39366fbfb9e2cab79bf064ec197b63d9945998fc609\",0,\"thm_200\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000199.lean\",\"2a018607766fab26d2a011fb32b76aab5fcabfafa72a8f16c853159f83a41833\",0,\"thm_201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310468,
+      "path": "data/train/pc2/deepseek-000003-0000-4a6fcd22fdb6ab68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "4a6fcd22fdb6ab68d27c399a98d6964d67111c0807cbb9f21cb46d617fdd15c2"
+    },
+    {
+      "bytes": 132701,
+      "path": "data/internal_test/pc2/deepseek-000003-0000-380ef5589b97dcfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "380ef5589b97dcfaa10687865ee367d963014723705740626180ba78f3d9d097"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000004.json b/manifests/batches/deepseek/000004.json
index 0401a2a44f918f1d1b8ae42c8b27e6567e6fd8e6..7adda2d99eb7e6c92383949e3b63b31d8218e9fd 100644
--- a/manifests/batches/deepseek/000004.json
+++ b/manifests/batches/deepseek/000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000004",
   "batch_fingerprint": "12d32d45fcf93763f7512fbc1023a2d66d5134b713b16a6994bab8cc49a38538",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000004-0000-7eb757f4a737cdae.parquet",
-      "sha256": "7eb757f4a737cdaea252dc24049e2e3e63367bbf0f7327b81919c95df66f6e0c",
-      "bytes": 313965,
-      "rows": 96,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/dev/deepseek-000004-0000-15e08ad8cab118b4.parquet",
-      "sha256": "15e08ad8cab118b4a29baebd75c7a959725b6997bcda672801cfcbc76530ecd5",
-      "bytes": 37933,
-      "rows": 3,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/internal_test/deepseek-000004-0000-e95f64aac6690b53.parquet",
-      "sha256": "e95f64aac6690b5359937ac62584f40f1654bdfb647c9af8e4d68aebf5fd242d",
-      "bytes": 83291,
-      "rows": 20,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_202",
     "deepseek:thm_203",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000247.lean\",\"5699ebef127a8b989c691947a8daae32e4dad1c9c462ba1da267b43fc76b21b2\",0,\"thm_251\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000248.lean\",\"f96624d90de0d81865431a699f0dfa6c738c70fb6c70b5a624b576c6d1a51d34\",0,\"thm_252\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000249.lean\",\"5637626a59e5c661dd2e143525909052ce1e96b7b98d1bc76925a8209e06b898\",0,\"thm_253\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313965,
+      "path": "data/train/pcc/deepseek-000004-0000-7eb757f4a737cdae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "7eb757f4a737cdaea252dc24049e2e3e63367bbf0f7327b81919c95df66f6e0c"
+    },
+    {
+      "bytes": 37933,
+      "path": "data/dev/pcc/deepseek-000004-0000-15e08ad8cab118b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "15e08ad8cab118b4a29baebd75c7a959725b6997bcda672801cfcbc76530ecd5"
+    },
+    {
+      "bytes": 83291,
+      "path": "data/internal_test/pcc/deepseek-000004-0000-e95f64aac6690b53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e95f64aac6690b5359937ac62584f40f1654bdfb647c9af8e4d68aebf5fd242d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000005.json b/manifests/batches/deepseek/000005.json
index ff423f9bce88a0789705aaa3077770a14ca781ac..653c0cc303e7f98a1f55f915f5630f2826a83bc9 100644
--- a/manifests/batches/deepseek/000005.json
+++ b/manifests/batches/deepseek/000005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000005",
   "batch_fingerprint": "25876c60f329df2f450068aabef910efd0d21a40e7c670978dad0f81be2725ba",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000005-0000-a4579799b508012f.parquet",
-      "sha256": "a4579799b508012f86c721bd89e4c57bf79a38958733586f3cd8aeff6026a166",
-      "bytes": 280541,
-      "rows": 92,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    },
-    {
-      "path": "data/dev/deepseek-000005-0000-b574b7a55c943e72.parquet",
-      "sha256": "b574b7a55c943e72235a28826e1ec0fc2642f84a9007e920553e3c60db9e700e",
-      "bytes": 47625,
-      "rows": 7,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000005-0000-c049467f00cd208a.parquet",
-      "sha256": "c049467f00cd208ae31325465ee825c4cfd7532d2e7ddef13ed52f15734a1aad",
-      "bytes": 70014,
-      "rows": 15,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_254",
     "deepseek:thm_255",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000296.lean\",\"258df663081ace6e86ede4c75d40c8aad06ea5a8aeed31a9e1055bdb93bcc87b\",0,\"thm_301\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000297.lean\",\"83050a8f51847f37a3d052559dc6d1e62fb85000236bfc8abc6781b7f8e90e19\",0,\"thm_302\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000298.lean\",\"182d53ff099442a3d1f9061f54fd37db51615e410a87b18fd1b016a6b41c385a\",0,\"thm_303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280541,
+      "path": "data/train/pb2/deepseek-000005-0000-a4579799b508012f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "a4579799b508012f86c721bd89e4c57bf79a38958733586f3cd8aeff6026a166"
+    },
+    {
+      "bytes": 47625,
+      "path": "data/dev/pb2/deepseek-000005-0000-b574b7a55c943e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b574b7a55c943e72235a28826e1ec0fc2642f84a9007e920553e3c60db9e700e"
+    },
+    {
+      "bytes": 70014,
+      "path": "data/internal_test/pb2/deepseek-000005-0000-c049467f00cd208a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c049467f00cd208ae31325465ee825c4cfd7532d2e7ddef13ed52f15734a1aad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000006.json b/manifests/batches/deepseek/000006.json
index aaddef11e16996ca545651c72ba098dc7e64c6fe..4c8a312bedc478ef950d6cd735e5aa8121cc352c 100644
--- a/manifests/batches/deepseek/000006.json
+++ b/manifests/batches/deepseek/000006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000006",
   "batch_fingerprint": "b45cef46028b5178ff4280f55814eccc8094d8c18090092e53ecf6a0777014e2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000006-0000-896295528a4ab8b8.parquet",
-      "sha256": "896295528a4ab8b87c39c39e3fafe2c753817b83dcf7cf0c7731b5dde88acbdb",
-      "bytes": 354973,
-      "rows": 108,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/internal_test/deepseek-000006-0000-3818aa64a6ae6b2a.parquet",
-      "sha256": "3818aa64a6ae6b2a6a0d2e3fa5b862b387e447f09141a7bf14cf80b023459b1c",
-      "bytes": 56621,
-      "rows": 12,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_305",
     "deepseek:thm_306",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000347.lean\",\"79b61e620c103a461f5076579178180035e6b510f8ed48535b1e98fbc1b2c057\",0,\"thm_352\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000348.lean\",\"43d8417f0756f367c596154c25b8abadf5bdb790caa1a1f85ea1d2519d1ff58c\",0,\"thm_353\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000349.lean\",\"2e1100aef9a869089420ef02410b38558e8e62f60cabdabd34fa000fbca7d553\",0,\"thm_354\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354973,
+      "path": "data/train/p34/deepseek-000006-0000-896295528a4ab8b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "896295528a4ab8b87c39c39e3fafe2c753817b83dcf7cf0c7731b5dde88acbdb"
+    },
+    {
+      "bytes": 56621,
+      "path": "data/internal_test/p34/deepseek-000006-0000-3818aa64a6ae6b2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3818aa64a6ae6b2a6a0d2e3fa5b862b387e447f09141a7bf14cf80b023459b1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000007.json b/manifests/batches/deepseek/000007.json
index 7ee37a07fafb6b131d22f2f9141c57c90fe64509..60e791c53f7ef196bd0258221edcc2bceb9d34f6 100644
--- a/manifests/batches/deepseek/000007.json
+++ b/manifests/batches/deepseek/000007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000007",
   "batch_fingerprint": "2084698a70935f3bd70107f29fb8c037255353f2424ec2f9eee3ab36a8de4ac2",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000007-0000-c02548ba43c822a2.parquet",
-      "sha256": "c02548ba43c822a22d2d52567622774a17542a2d14633a56a166d14f217cd06b",
-      "bytes": 344456,
-      "rows": 100,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/dev/deepseek-000007-0000-d61b392b31e3041a.parquet",
-      "sha256": "d61b392b31e3041a28b8952afc77650f9e6b3441192ed631e1b238c56672ce02",
-      "bytes": 46856,
-      "rows": 8,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/internal_test/deepseek-000007-0000-aa764b9baaf59fdf.parquet",
-      "sha256": "aa764b9baaf59fdf164807eae748ec27723395435f9e7dd222611806c1d33a84",
-      "bytes": 45806,
-      "rows": 7,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_355",
     "deepseek:thm_356",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000397.lean\",\"92f96554f664d4c0246c92cf1ceb5ef9c99df2bf994d5c43efe9dcbb70f927da\",0,\"thm_402\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000398.lean\",\"0880790f8eae351abe52f68202fc7f95f47a27202ea8195e9f100125e829238a\",0,\"thm_403\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000399.lean\",\"9f2c138aade7136aead062fa7e73ffc9c18827aa5b35da34f78a2c431342f8df\",0,\"thm_404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344456,
+      "path": "data/train/p47/deepseek-000007-0000-c02548ba43c822a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "c02548ba43c822a22d2d52567622774a17542a2d14633a56a166d14f217cd06b"
+    },
+    {
+      "bytes": 46856,
+      "path": "data/dev/p47/deepseek-000007-0000-d61b392b31e3041a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d61b392b31e3041a28b8952afc77650f9e6b3441192ed631e1b238c56672ce02"
+    },
+    {
+      "bytes": 45806,
+      "path": "data/internal_test/p47/deepseek-000007-0000-aa764b9baaf59fdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "aa764b9baaf59fdf164807eae748ec27723395435f9e7dd222611806c1d33a84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000008.json b/manifests/batches/deepseek/000008.json
index b58c51a3405d9324e56cb435a9043d42e3e512e7..a71df2f749c4dd5b42b863668788dbefb038b19c 100644
--- a/manifests/batches/deepseek/000008.json
+++ b/manifests/batches/deepseek/000008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000008",
   "batch_fingerprint": "d549ed7f5d9c9183387ebaa0c2a622bd8cbcae456f85bef2d03cb8ae287c887e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000008-0000-7955a17b5b0160c1.parquet",
-      "sha256": "7955a17b5b0160c1e7df518104c6753ef4088ba1fec93b0df11b9bbca9f99765",
-      "bytes": 285955,
-      "rows": 86,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/dev/deepseek-000008-0000-592b99749b3a293d.parquet",
-      "sha256": "592b99749b3a293dc644cf3357fc72e411825af85fb3bc5c359639854a1a4c95",
-      "bytes": 57322,
-      "rows": 12,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/internal_test/deepseek-000008-0000-f3adc0edd10cff44.parquet",
-      "sha256": "f3adc0edd10cff44f11e6efe2c2f194a9cb4961143a62ec71c2f0442f1b854dd",
-      "bytes": 62716,
-      "rows": 16,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_405",
     "deepseek:thm_406",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000447.lean\",\"66e17e80a87c68cae87df239951f298633320511c09e3efb3dd3a24b16566f21\",0,\"thm_452\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000448.lean\",\"d61def62db26992e853538d30a96fcaa40a942794bc5ccc4c77d83d6d1f90aaf\",0,\"thm_453\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000449.lean\",\"a7c4f4d7ec3fbe926724ec3b6f5c769caaedb833e76ef5b20058bad433ab4361\",0,\"thm_454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285955,
+      "path": "data/train/p43/deepseek-000008-0000-7955a17b5b0160c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "7955a17b5b0160c1e7df518104c6753ef4088ba1fec93b0df11b9bbca9f99765"
+    },
+    {
+      "bytes": 57322,
+      "path": "data/dev/p43/deepseek-000008-0000-592b99749b3a293d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "592b99749b3a293dc644cf3357fc72e411825af85fb3bc5c359639854a1a4c95"
+    },
+    {
+      "bytes": 62716,
+      "path": "data/internal_test/p43/deepseek-000008-0000-f3adc0edd10cff44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f3adc0edd10cff44f11e6efe2c2f194a9cb4961143a62ec71c2f0442f1b854dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000009.json b/manifests/batches/deepseek/000009.json
index d68b8b4eaf8c2f72398836733e0ba99174ecd961..727b6e5749b133e0a3a064de28e642ed2998a557 100644
--- a/manifests/batches/deepseek/000009.json
+++ b/manifests/batches/deepseek/000009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000009",
   "batch_fingerprint": "8aa142c3cbf3c733d00db28fea006ae2ec6a2ced699142fa40a06ba4a9503c5d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000009-0000-44f34149b5b9d7af.parquet",
-      "sha256": "44f34149b5b9d7af0c88fa8f07a357f314b52cb178a4cb3381b4648ceb7c8f17",
-      "bytes": 366426,
-      "rows": 99,
-      "revision": "f60b6c22bf899b4d218830e3296613d58cef81fe"
-    },
-    {
-      "path": "data/dev/deepseek-000009-0000-42567167c45b8fd5.parquet",
-      "sha256": "42567167c45b8fd5f7b3370bd11facbffea2e48a4a59f55b88d1bfc2608752ec",
-      "bytes": 45203,
-      "rows": 7,
-      "revision": "f60b6c22bf899b4d218830e3296613d58cef81fe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000009-0000-4def044689e22213.parquet",
-      "sha256": "4def044689e222130ff246f99ab0793490183ef7ece4d94edb1da1da5ddd7302",
-      "bytes": 58353,
-      "rows": 15,
-      "revision": "f60b6c22bf899b4d218830e3296613d58cef81fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_455",
     "deepseek:thm_456",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000497.lean\",\"45e58a3d36504de56851eb514c2057f281e619614c33415bee24456adda562eb\",0,\"thm_502\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000498.lean\",\"3dc1686772e4e1346d3be6933ed46137226d9a18537033cdc4d5f84e18b7de1d\",0,\"thm_503\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000499.lean\",\"0bd8c1f6be6af7ff1713a71a3bc150c258b3f2e827ff2371f914ce7632df8875\",0,\"thm_504\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366426,
+      "path": "data/train/p50/deepseek-000009-0000-44f34149b5b9d7af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "44f34149b5b9d7af0c88fa8f07a357f314b52cb178a4cb3381b4648ceb7c8f17"
+    },
+    {
+      "bytes": 45203,
+      "path": "data/dev/p50/deepseek-000009-0000-42567167c45b8fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "42567167c45b8fd5f7b3370bd11facbffea2e48a4a59f55b88d1bfc2608752ec"
+    },
+    {
+      "bytes": 58353,
+      "path": "data/internal_test/p50/deepseek-000009-0000-4def044689e22213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4def044689e222130ff246f99ab0793490183ef7ece4d94edb1da1da5ddd7302"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000010.json b/manifests/batches/deepseek/000010.json
index 6d2b0d4733de9f509015c3a80c3c2f6f8558a316..e1eb4967b03712a1e4174d5c21ccbfbe05af4629 100644
--- a/manifests/batches/deepseek/000010.json
+++ b/manifests/batches/deepseek/000010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000010",
   "batch_fingerprint": "6d9d62a82423a067db5160dfd3248d72fbb4fd8621e34d2d61c2effc7de43894",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000010-0000-a703a94003247483.parquet",
-      "sha256": "a703a9400324748394ce7e6924a8108fe382650357e614cebf6923061e8b7ad6",
-      "bytes": 299150,
-      "rows": 99,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/dev/deepseek-000010-0000-8b868c33d1eac4e8.parquet",
-      "sha256": "8b868c33d1eac4e8b934e5e5abedf4f76913ba22db9fa5156ea76071b870766a",
-      "bytes": 44793,
-      "rows": 8,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/internal_test/deepseek-000010-0000-e902d7e31bc4a994.parquet",
-      "sha256": "e902d7e31bc4a9946bae6ae7fe404ed6b4d651cf2f403851727df937279ac31e",
-      "bytes": 62621,
-      "rows": 11,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_505",
     "deepseek:thm_506",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000547.lean\",\"b85988c7e5551d9cb1afa498b6566d63f59cf78237a6fe85902099f9376e32a4\",0,\"thm_554\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000548.lean\",\"5be07035f24eb71e95e3a759aa23e029b712205a19822f17a684840ead53820e\",0,\"thm_555\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000549.lean\",\"5c6708d66cd3bf878c662586fcaee63a794226d9ceacbbb8aa943257cb6ad8ef\",0,\"thm_556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299150,
+      "path": "data/train/p2a/deepseek-000010-0000-a703a94003247483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "a703a9400324748394ce7e6924a8108fe382650357e614cebf6923061e8b7ad6"
+    },
+    {
+      "bytes": 44793,
+      "path": "data/dev/p2a/deepseek-000010-0000-8b868c33d1eac4e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8b868c33d1eac4e8b934e5e5abedf4f76913ba22db9fa5156ea76071b870766a"
+    },
+    {
+      "bytes": 62621,
+      "path": "data/internal_test/p2a/deepseek-000010-0000-e902d7e31bc4a994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e902d7e31bc4a9946bae6ae7fe404ed6b4d651cf2f403851727df937279ac31e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000011.json b/manifests/batches/deepseek/000011.json
index 5c2bfd06b9a5f1c51c3a875e235bb349418f60f4..da14fc69467d0f7ae24d7d60093b9e0d46bfe25a 100644
--- a/manifests/batches/deepseek/000011.json
+++ b/manifests/batches/deepseek/000011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000011",
   "batch_fingerprint": "98ac44017b14cc3445bf5dca9cc4bc81bbed5429d062c92c08a350a5ebbd6e52",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000011-0000-0f6beb63b8d464ea.parquet",
-      "sha256": "0f6beb63b8d464ea70a4a19616091e771630520085c80aefabce1fc4ec946997",
-      "bytes": 342556,
-      "rows": 106,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/internal_test/deepseek-000011-0000-3c43c20f43ae54a2.parquet",
-      "sha256": "3c43c20f43ae54a209569fc409fe535075c0841526e0fb06ccbd8bfd9835b444",
-      "bytes": 64573,
-      "rows": 16,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_557",
     "deepseek:thm_558",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000597.lean\",\"38acca4e2fcd17feb8866bf2d31814988b1d191b41290bca3bc38e6fd0b1e6e9\",0,\"thm_604\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000598.lean\",\"5df413068ec4ba262d64a7d061da30a7ddaefb084a83ff479fb0e1625053e16b\",0,\"thm_605\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000599.lean\",\"58e9e8c5a66d1b09b9adbb76670e76aae1b9cf8873a2bd25759b6dafbd440f2b\",0,\"thm_606\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342556,
+      "path": "data/train/p65/deepseek-000011-0000-0f6beb63b8d464ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "0f6beb63b8d464ea70a4a19616091e771630520085c80aefabce1fc4ec946997"
+    },
+    {
+      "bytes": 64573,
+      "path": "data/internal_test/p65/deepseek-000011-0000-3c43c20f43ae54a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3c43c20f43ae54a209569fc409fe535075c0841526e0fb06ccbd8bfd9835b444"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000012.json b/manifests/batches/deepseek/000012.json
index 6325734dbf6dd074d4167de0b2dd8c671150d36b..44aac4961b8aee10deedef1c6aa0407a11ad05f5 100644
--- a/manifests/batches/deepseek/000012.json
+++ b/manifests/batches/deepseek/000012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000012",
   "batch_fingerprint": "bb6a7374df8f58076996b58fde35c74b4b325520e77bf0e21b626b96ab9ac143",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000012-0000-a1bd6068929c1b3a.parquet",
-      "sha256": "a1bd6068929c1b3ae02377fcfaad044f61c90c67cdc30c7eb988c1770217f34d",
-      "bytes": 302063,
-      "rows": 89,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/dev/deepseek-000012-0000-92039ce9270255a9.parquet",
-      "sha256": "92039ce9270255a951d07f0964d3c656ea2aa534aa1c357194f0d9629f32e417",
-      "bytes": 42562,
-      "rows": 5,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/internal_test/deepseek-000012-0000-8a173584e0c98258.parquet",
-      "sha256": "8a173584e0c98258d69559b2cd26ab208d6b78f6df920044de5c26a88a8dc87d",
-      "bytes": 73390,
-      "rows": 20,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_607",
     "deepseek:thm_608",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000647.lean\",\"256e59eff44857f2e444921d0864dd0d2997f833dfd6a4c69b220dc527593a56\",0,\"thm_654\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000648.lean\",\"8733f490a0f00734e967553ac6cd619014dfa247cbe65ad3b556336ed6dd5f35\",0,\"thm_655\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000649.lean\",\"1d45d75f159baae32b6cbc6c8bcc974bfe7460091bd42d5a4102a13c78f5ff9b\",0,\"thm_656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302063,
+      "path": "data/train/pdf/deepseek-000012-0000-a1bd6068929c1b3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "a1bd6068929c1b3ae02377fcfaad044f61c90c67cdc30c7eb988c1770217f34d"
+    },
+    {
+      "bytes": 42562,
+      "path": "data/dev/pdf/deepseek-000012-0000-92039ce9270255a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "92039ce9270255a951d07f0964d3c656ea2aa534aa1c357194f0d9629f32e417"
+    },
+    {
+      "bytes": 73390,
+      "path": "data/internal_test/pdf/deepseek-000012-0000-8a173584e0c98258.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8a173584e0c98258d69559b2cd26ab208d6b78f6df920044de5c26a88a8dc87d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000013.json b/manifests/batches/deepseek/000013.json
index 257fcead7eb1cf567d335d0bc38279ae64a9fa05..2b73a43465c114045ef0cb8c887d5d13b9819194 100644
--- a/manifests/batches/deepseek/000013.json
+++ b/manifests/batches/deepseek/000013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000013",
   "batch_fingerprint": "dc815150d0e94cff9ff7f238dcd43c25961d04604dc97384129fc9fbdce4561a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000013-0000-bf1e96e52fc0aed0.parquet",
-      "sha256": "bf1e96e52fc0aed04900195841807359c1c132663cd15309121e09c4cfea40f7",
-      "bytes": 370059,
-      "rows": 110,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/deepseek-000013-0000-1454c9fc75d55544.parquet",
-      "sha256": "1454c9fc75d55544c881c06792cc5e0940b7ff5fa1ffcdcaa029458bf3e33a8e",
-      "bytes": 36500,
-      "rows": 6,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000013-0000-4843089ec66adcf3.parquet",
-      "sha256": "4843089ec66adcf3650a6aa484fc561c9ecb68ceb39aafd1a30359dfcaf16687",
-      "bytes": 41767,
-      "rows": 9,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_657",
     "deepseek:thm_658",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000697.lean\",\"4aa4acfd5ee6bd3dd7abbc236f83ddca2f1f52f9f863bdbc8dd47dbc1b75d489\",0,\"thm_706\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000698.lean\",\"da9f688393a8c3de458fa845016e37afdec2954484ed39186ad33e676d4ee41a\",0,\"thm_707\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000699.lean\",\"e80d9194c389d47340aa931d476445cee3ca5217872bd52db7f72baac77be61e\",0,\"thm_708\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370059,
+      "path": "data/train/p00/deepseek-000013-0000-bf1e96e52fc0aed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "bf1e96e52fc0aed04900195841807359c1c132663cd15309121e09c4cfea40f7"
+    },
+    {
+      "bytes": 36500,
+      "path": "data/dev/p00/deepseek-000013-0000-1454c9fc75d55544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1454c9fc75d55544c881c06792cc5e0940b7ff5fa1ffcdcaa029458bf3e33a8e"
+    },
+    {
+      "bytes": 41767,
+      "path": "data/internal_test/p00/deepseek-000013-0000-4843089ec66adcf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4843089ec66adcf3650a6aa484fc561c9ecb68ceb39aafd1a30359dfcaf16687"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000014.json b/manifests/batches/deepseek/000014.json
index 456c673a9994a2b6eee71ec5a008779528e45d02..08384f92d18311884757f961e87ac0440bdc06ae 100644
--- a/manifests/batches/deepseek/000014.json
+++ b/manifests/batches/deepseek/000014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000014",
   "batch_fingerprint": "983e8d409acfb948cd09daa63055fd80f1499ec5dccdf070dc39c73d54528bd6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000014-0000-a4e86b673925b095.parquet",
-      "sha256": "a4e86b673925b095500414368d931bfa72ae91b92ccde10da77eb6f8d0fc8930",
-      "bytes": 360617,
-      "rows": 101,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/deepseek-000014-0000-88dbe4c888a7b62f.parquet",
-      "sha256": "88dbe4c888a7b62f7070d3a70be49bb253b9e6b18e3042df66ff90143939f8bf",
-      "bytes": 43821,
-      "rows": 3,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000014-0000-66f9779202eac68d.parquet",
-      "sha256": "66f9779202eac68dbd65dfe8c30f87fd11891d85d50edccb2c968cd3f9c9190e",
-      "bytes": 47565,
-      "rows": 10,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_709",
     "deepseek:thm_710",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000747.lean\",\"87f7ac06d7141005a0a5fc6b6f27958d2f779648a3ba0043982d489c5eba215e\",0,\"thm_757\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000748.lean\",\"557cd6b57596291717c242d39bad7cdec5b1f354e259eac49009d313ddaac08a\",0,\"thm_758\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000749.lean\",\"23ee06599a97abb83c66341a9523d33f06fdbc013ad0d58e3493624cc9e58f6d\",0,\"thm_759\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360617,
+      "path": "data/train/pb7/deepseek-000014-0000-a4e86b673925b095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "a4e86b673925b095500414368d931bfa72ae91b92ccde10da77eb6f8d0fc8930"
+    },
+    {
+      "bytes": 43821,
+      "path": "data/dev/pb7/deepseek-000014-0000-88dbe4c888a7b62f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88dbe4c888a7b62f7070d3a70be49bb253b9e6b18e3042df66ff90143939f8bf"
+    },
+    {
+      "bytes": 47565,
+      "path": "data/internal_test/pb7/deepseek-000014-0000-66f9779202eac68d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "66f9779202eac68dbd65dfe8c30f87fd11891d85d50edccb2c968cd3f9c9190e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000015.json b/manifests/batches/deepseek/000015.json
index d545d02a27714f2f72615c33b0083a3e70b8d448..01e20825769c689fd76934a47faf1413b5c8b8f4 100644
--- a/manifests/batches/deepseek/000015.json
+++ b/manifests/batches/deepseek/000015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000015",
   "batch_fingerprint": "54057c1c89a0a31ab4125c3489134bf7b2f3c249dcc9faf83c4be84d5b3bec1e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000015-0000-84476f1fa06d8ee6.parquet",
-      "sha256": "84476f1fa06d8ee6e6f82832997c8150a2b9d5d8a5b55964ea49c272346fe0b2",
-      "bytes": 329805,
-      "rows": 101,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/deepseek-000015-0000-bcbe78e56fc66b19.parquet",
-      "sha256": "bcbe78e56fc66b1970c870c9e5f1362ea44c0f1dfc16570528b11502b17d48ab",
-      "bytes": 31160,
-      "rows": 2,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000015-0000-64e81322283ffb19.parquet",
-      "sha256": "64e81322283ffb19d1fdd54273074b4806bb53dea100d6c9f54728208907931c",
-      "bytes": 84053,
-      "rows": 24,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_760",
     "deepseek:thm_761",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000797.lean\",\"81021f30874d5fb59d08ba4352532ac418bf78b11aed2e6bb883bc8c206d7d99\",0,\"thm_807\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000798.lean\",\"e830ddcde3a0174233c17b407a8cbb7be09d8b5207a44686acb3d066f83fb53b\",0,\"thm_808\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000799.lean\",\"b000802e4a25c2cc67b851ab8665afd0dc4c7a232e7c7ecea84fffb0b7fe77ef\",0,\"thm_809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329805,
+      "path": "data/train/pe9/deepseek-000015-0000-84476f1fa06d8ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "84476f1fa06d8ee6e6f82832997c8150a2b9d5d8a5b55964ea49c272346fe0b2"
+    },
+    {
+      "bytes": 31160,
+      "path": "data/dev/pe9/deepseek-000015-0000-bcbe78e56fc66b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bcbe78e56fc66b1970c870c9e5f1362ea44c0f1dfc16570528b11502b17d48ab"
+    },
+    {
+      "bytes": 84053,
+      "path": "data/internal_test/pe9/deepseek-000015-0000-64e81322283ffb19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "64e81322283ffb19d1fdd54273074b4806bb53dea100d6c9f54728208907931c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000016.json b/manifests/batches/deepseek/000016.json
index 94ce942df25c54d934376ada39d164fe562307cb..0dac564014fa4902210a175210a3abbf64fc19da 100644
--- a/manifests/batches/deepseek/000016.json
+++ b/manifests/batches/deepseek/000016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000016",
   "batch_fingerprint": "6c06459fbac166e6134538380c1a38622f5ceb45ed2e09916c053df52618d31f",
   "evidence": {
@@ -76,36 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000016-0000-7e1564c1c7b73dc0.parquet",
-      "sha256": "7e1564c1c7b73dc07c05daa070bd285102105580932a819e8f10a87de749fae6",
-      "bytes": 295259,
-      "rows": 85,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/deepseek-000016-0000-0d88d381c988deda.parquet",
-      "sha256": "0d88d381c988deda3403706821910c25dfd0e909eccd4ae3afa3e2200c6b22c6",
-      "bytes": 101148,
-      "rows": 3,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/deepseek-000016-0001-034134a8bfe7e799.parquet",
-      "sha256": "034134a8bfe7e799e1fca79ab5bf630645dd26857861a39d21041fb4dc654b08",
-      "bytes": 98745,
-      "rows": 6,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000016-0000-a11e2536c9c3a416.parquet",
-      "sha256": "a11e2536c9c3a416a89c1ffad626c4b8023f334e247fe9c237bede063c808084",
-      "bytes": 61371,
-      "rows": 11,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_810",
     "deepseek:thm_812",
@@ -203,5 +173,35 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000847.lean\",\"e92a2dbf923904b7922f3e3232c55f5828cf8f1ce937bfc6bf915a011b6eb60c\",0,\"thm_858\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000848.lean\",\"cdb349f4da79d2515dae4aa8a9d4ddc18cd6bac149d4e406d7d6c5726864ce5a\",0,\"thm_859\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000849.lean\",\"806213ed18bea33e7d1f4e51a0c969955064a09c5777804634efae610a00feca\",0,\"thm_860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295259,
+      "path": "data/train/p40/deepseek-000016-0000-7e1564c1c7b73dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "7e1564c1c7b73dc07c05daa070bd285102105580932a819e8f10a87de749fae6"
+    },
+    {
+      "bytes": 101148,
+      "path": "data/dev/p40/deepseek-000016-0000-0d88d381c988deda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0d88d381c988deda3403706821910c25dfd0e909eccd4ae3afa3e2200c6b22c6"
+    },
+    {
+      "bytes": 98745,
+      "path": "data/dev/p40/deepseek-000016-0001-034134a8bfe7e799.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "034134a8bfe7e799e1fca79ab5bf630645dd26857861a39d21041fb4dc654b08"
+    },
+    {
+      "bytes": 61371,
+      "path": "data/internal_test/p40/deepseek-000016-0000-a11e2536c9c3a416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a11e2536c9c3a416a89c1ffad626c4b8023f334e247fe9c237bede063c808084"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000017.json b/manifests/batches/deepseek/000017.json
index 7f2e30609ab5708e63c79da6b77aae16651d4fd0..2cf7d3828d215a7f2c17e3c46202eade6d1425e0 100644
--- a/manifests/batches/deepseek/000017.json
+++ b/manifests/batches/deepseek/000017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000017",
   "batch_fingerprint": "00f8b38150c3fab1e999aad4f4ce5b09b54a49dab0bd0cc3c3bdfdc448abcd5b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000017-0000-eeef52ae3e649b20.parquet",
-      "sha256": "eeef52ae3e649b2089dd0a01f100f099f3f43e4a7b6ce6a1fbbb3645c7def098",
-      "bytes": 337340,
-      "rows": 105,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/deepseek-000017-0000-84d7b85d9c136cbc.parquet",
-      "sha256": "84d7b85d9c136cbc8bd0a3d409114e25da1adb121b7afdd6772a9a3d30633b07",
-      "bytes": 41476,
-      "rows": 2,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000017-0000-574afc5247af62d3.parquet",
-      "sha256": "574afc5247af62d315cf6edf07a85127a7c3caec9be8182183e5ed7d81964afb",
-      "bytes": 72437,
-      "rows": 20,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_861",
     "deepseek:thm_862",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000897.lean\",\"0762c12e684dc5844c5091d12a6b572138d78f806d9df3654afcc16bb8c9efc4\",0,\"thm_908\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000898.lean\",\"b7300067fb2d8c3b769239710d0ec882ec72204635082f30acff255bfd5f4348\",0,\"thm_909\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000899.lean\",\"5c1f3556ea7b0a9a8c432b6ef0db7bf651798e907d3b8eb4eba4852c4d25479b\",0,\"thm_910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337340,
+      "path": "data/train/p10/deepseek-000017-0000-eeef52ae3e649b20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "eeef52ae3e649b2089dd0a01f100f099f3f43e4a7b6ce6a1fbbb3645c7def098"
+    },
+    {
+      "bytes": 41476,
+      "path": "data/dev/p10/deepseek-000017-0000-84d7b85d9c136cbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "84d7b85d9c136cbc8bd0a3d409114e25da1adb121b7afdd6772a9a3d30633b07"
+    },
+    {
+      "bytes": 72437,
+      "path": "data/internal_test/p10/deepseek-000017-0000-574afc5247af62d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "574afc5247af62d315cf6edf07a85127a7c3caec9be8182183e5ed7d81964afb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000018.json b/manifests/batches/deepseek/000018.json
index 28288930d101838e8b688e0fdb55ae209086aeb8..0e513a705520d2292244aaddd7341e149fbfa34f 100644
--- a/manifests/batches/deepseek/000018.json
+++ b/manifests/batches/deepseek/000018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000018",
   "batch_fingerprint": "094115017cad498105ea06a12d7eabbda020589a4d7e1aa60afabb18781601de",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000018-0000-3b58f818bed3efe1.parquet",
-      "sha256": "3b58f818bed3efe1601e1f5d6c3620ca8818ced18ec53b582ffc778dece00954",
-      "bytes": 343108,
-      "rows": 103,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/dev/deepseek-000018-0000-1aadc97f11b905c9.parquet",
-      "sha256": "1aadc97f11b905c998f3a3d7821b48ca098b4241017da2be8e3207904afda079",
-      "bytes": 28573,
-      "rows": 2,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/deepseek-000018-0000-68c03633facf9597.parquet",
-      "sha256": "68c03633facf95976ec4971f529ba56929e7de5868bf3fe074e5a58bd8d5e091",
-      "bytes": 45733,
-      "rows": 8,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_911",
     "deepseek:thm_912",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000947.lean\",\"1ccbdbfa20de0c021a1ef34498f88a48aa75a3996b98e83a6cb5902de082858b\",0,\"thm_958\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000948.lean\",\"d17c51b7f63c00cf27f5e1ff66a38d38f96c61efdba871554da17f4e0273a3e2\",0,\"thm_959\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000949.lean\",\"74b80d73cf0df2cc95abdf5be59ad9e53f002ee143c69a21aea4b30ea4e78592\",0,\"thm_960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343108,
+      "path": "data/train/pf8/deepseek-000018-0000-3b58f818bed3efe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "3b58f818bed3efe1601e1f5d6c3620ca8818ced18ec53b582ffc778dece00954"
+    },
+    {
+      "bytes": 28573,
+      "path": "data/dev/pf8/deepseek-000018-0000-1aadc97f11b905c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1aadc97f11b905c998f3a3d7821b48ca098b4241017da2be8e3207904afda079"
+    },
+    {
+      "bytes": 45733,
+      "path": "data/internal_test/pf8/deepseek-000018-0000-68c03633facf9597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "68c03633facf95976ec4971f529ba56929e7de5868bf3fe074e5a58bd8d5e091"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000019.json b/manifests/batches/deepseek/000019.json
index d7f5403d779eb95d13c52c6b40b8442910acfffa..2800ca48f1a37df626aded4ea89c6241860b41b5 100644
--- a/manifests/batches/deepseek/000019.json
+++ b/manifests/batches/deepseek/000019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000019",
   "batch_fingerprint": "8643d89c86286a89a61a8668cde9b3547daed884384cb83a6dd1e2240840f4d4",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000019-0000-6aaffd4903bd034a.parquet",
-      "sha256": "6aaffd4903bd034a4049186d84bc7075139bb65f9f4a569e5b6c544b74ca0dc1",
-      "bytes": 342291,
-      "rows": 106,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/deepseek-000019-0000-c40ffbef7bfe2172.parquet",
-      "sha256": "c40ffbef7bfe2172dce6de94f5710f44dc3a560acd1222150fef9df34ae8ce8d",
-      "bytes": 33658,
-      "rows": 1,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000019-0000-7f11245aaecb708c.parquet",
-      "sha256": "7f11245aaecb708cd44757e4cdeaced4cc8c2912d45cd38fc447c94e8153044d",
-      "bytes": 51252,
-      "rows": 8,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1000",
     "deepseek:thm_1001",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000997.lean\",\"8f96c6f25397e644ce610f5e832e7d38bdfc3ab1fccb7978a22eb97e3cd0eb82\",0,\"thm_1008\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000998.lean\",\"82fe5a1ca8c39a0ae13c4bf6e1b9e929a225af9b57a3fd097173dd67e4bef2be\",0,\"thm_1009\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_000999.lean\",\"87f098aeb14ad4d401758d0048639c8736fd344628db5ac8faa0835022410cdc\",0,\"thm_1010\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342291,
+      "path": "data/train/p74/deepseek-000019-0000-6aaffd4903bd034a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "6aaffd4903bd034a4049186d84bc7075139bb65f9f4a569e5b6c544b74ca0dc1"
+    },
+    {
+      "bytes": 33658,
+      "path": "data/dev/p74/deepseek-000019-0000-c40ffbef7bfe2172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c40ffbef7bfe2172dce6de94f5710f44dc3a560acd1222150fef9df34ae8ce8d"
+    },
+    {
+      "bytes": 51252,
+      "path": "data/internal_test/p74/deepseek-000019-0000-7f11245aaecb708c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7f11245aaecb708cd44757e4cdeaced4cc8c2912d45cd38fc447c94e8153044d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000020.json b/manifests/batches/deepseek/000020.json
index 33a62eb9ca919873035e3c4999e43e8add2b4673..c7ee89f21b4219553dcb0db3143d27274ddb14ce 100644
--- a/manifests/batches/deepseek/000020.json
+++ b/manifests/batches/deepseek/000020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000020",
   "batch_fingerprint": "01d25b61ed593d7c07d859160669af4f1cc1a048c6bae87ae935ba5879765198",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000020-0000-48a7de1a9e7046be.parquet",
-      "sha256": "48a7de1a9e7046be5d6c0cfdf1739d15da8c54bd5f9761c5a01a39f0e9d1e3d3",
-      "bytes": 457681,
-      "rows": 93,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/deepseek-000020-0000-2e6ac18038197ce3.parquet",
-      "sha256": "2e6ac18038197ce3689716e63ee056e411c8b3c436e0a7b4d7fedf38e93a488a",
-      "bytes": 39135,
-      "rows": 6,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000020-0000-4b3f260310ef202c.parquet",
-      "sha256": "4b3f260310ef202c0be5ec5d0c020cb8b273e672247bd0da3716568622c12664",
-      "bytes": 77565,
-      "rows": 19,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1011",
     "deepseek:thm_1012",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001047.lean\",\"7ccb80e27cb1db29d9207f450efc3b11629e20efeb13ec1adbdecd13c9371135\",0,\"thm_1059\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001048.lean\",\"5b0d4035d0b0fe2fdfcd0e16fb7c31ce282bc44f59f8cd32d13e5d7d1e889780\",0,\"thm_1060\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001049.lean\",\"509b3675b64175c63eaa63f1430236354d7b42e513a0c4f7cc4ed3b427a65b2a\",0,\"thm_1061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 457681,
+      "path": "data/train/pd1/deepseek-000020-0000-48a7de1a9e7046be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "48a7de1a9e7046be5d6c0cfdf1739d15da8c54bd5f9761c5a01a39f0e9d1e3d3"
+    },
+    {
+      "bytes": 39135,
+      "path": "data/dev/pd1/deepseek-000020-0000-2e6ac18038197ce3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2e6ac18038197ce3689716e63ee056e411c8b3c436e0a7b4d7fedf38e93a488a"
+    },
+    {
+      "bytes": 77565,
+      "path": "data/internal_test/pd1/deepseek-000020-0000-4b3f260310ef202c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4b3f260310ef202c0be5ec5d0c020cb8b273e672247bd0da3716568622c12664"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000021.json b/manifests/batches/deepseek/000021.json
index 52391f9249e92a945a2eeb516f3cd050b9bb8d21..9e0c01a0a771a9cc90f13aeb0ec39fbab276eca4 100644
--- a/manifests/batches/deepseek/000021.json
+++ b/manifests/batches/deepseek/000021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000021",
   "batch_fingerprint": "2f03712f72992b2d078e7af1c86ffed44a64d960432e5b4069521dc4345200e4",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000021-0000-f4a594fc8946a6a8.parquet",
-      "sha256": "f4a594fc8946a6a8a2312eedce841f913f89219ec636d97561c8c727a3dc0e7e",
-      "bytes": 339871,
-      "rows": 101,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/deepseek-000021-0000-900edc99fad077d1.parquet",
-      "sha256": "900edc99fad077d1bb7e28fa7b65d26cccb92fde6912e533cdf34e93722849b9",
-      "bytes": 53371,
-      "rows": 8,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000021-0000-52e783e8f88c39c6.parquet",
-      "sha256": "52e783e8f88c39c6d1cb9c347a7f2bb6a1d0d54ec6fee92a47ac100ae9779278",
-      "bytes": 44266,
-      "rows": 7,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1062",
     "deepseek:thm_1063",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001097.lean\",\"b506bc4873364df35da2f97ea39c072008a4cae956f258d88bafd5129f32d802\",0,\"thm_1109\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001098.lean\",\"2751ba5aed92e396ced80bbacd13a6a94f93fb26a45568335213c3a119835a95\",0,\"thm_1110\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001099.lean\",\"d9580ef9e184d3fc818255e5fbd5b57992cc38a814f0cac23a2ff3a50fd8c65e\",0,\"thm_1111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339871,
+      "path": "data/train/pcd/deepseek-000021-0000-f4a594fc8946a6a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "f4a594fc8946a6a8a2312eedce841f913f89219ec636d97561c8c727a3dc0e7e"
+    },
+    {
+      "bytes": 53371,
+      "path": "data/dev/pcd/deepseek-000021-0000-900edc99fad077d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "900edc99fad077d1bb7e28fa7b65d26cccb92fde6912e533cdf34e93722849b9"
+    },
+    {
+      "bytes": 44266,
+      "path": "data/internal_test/pcd/deepseek-000021-0000-52e783e8f88c39c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "52e783e8f88c39c6d1cb9c347a7f2bb6a1d0d54ec6fee92a47ac100ae9779278"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000022.json b/manifests/batches/deepseek/000022.json
index 4127bf12c49e9104d046385b4db66eb2db31ddeb..925ff1266c9e317af3dfc7d487436721db4256c7 100644
--- a/manifests/batches/deepseek/000022.json
+++ b/manifests/batches/deepseek/000022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000022",
   "batch_fingerprint": "ec012bf31a37f8ee95ef9b489ca0d98e40d55c2c90d28ba4bf12f54df513c53b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000022-0000-47e7c7e4e0fbb5a9.parquet",
-      "sha256": "47e7c7e4e0fbb5a9c5ad4c48228cf568c471c56ef5d3d4af4d8ce5c44360c5d1",
-      "bytes": 334432,
-      "rows": 98,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/dev/deepseek-000022-0000-0e2ae81a18251a64.parquet",
-      "sha256": "0e2ae81a18251a644b11871fd1f818019f47dc387064cf77b20a7ef45e1345e3",
-      "bytes": 51940,
-      "rows": 9,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000022-0000-cb8c45321415bca6.parquet",
-      "sha256": "cb8c45321415bca62beaf263349a64b3533dd6d52f6c4f2bd423e204fe365432",
-      "bytes": 59137,
-      "rows": 19,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1112",
     "deepseek:thm_1113",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001147.lean\",\"e3e64affb0107201b5e2b0b32c13dc8060f27c923c124baa964671ac1a1d6410\",0,\"thm_1159\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001148.lean\",\"b93e76fa5d9b6a14aacfcc6c0d7d23b854e9219cf1748dd581eb8eede1247732\",0,\"thm_1160\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001149.lean\",\"8ccfe05592efdd43abb70fc6f2fa669efa99b9f66a1c9534a7811ed7a71f9522\",0,\"thm_1161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334432,
+      "path": "data/train/pe8/deepseek-000022-0000-47e7c7e4e0fbb5a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "47e7c7e4e0fbb5a9c5ad4c48228cf568c471c56ef5d3d4af4d8ce5c44360c5d1"
+    },
+    {
+      "bytes": 51940,
+      "path": "data/dev/pe8/deepseek-000022-0000-0e2ae81a18251a64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0e2ae81a18251a644b11871fd1f818019f47dc387064cf77b20a7ef45e1345e3"
+    },
+    {
+      "bytes": 59137,
+      "path": "data/internal_test/pe8/deepseek-000022-0000-cb8c45321415bca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "cb8c45321415bca62beaf263349a64b3533dd6d52f6c4f2bd423e204fe365432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000023.json b/manifests/batches/deepseek/000023.json
index f737cc89925dd70cf520d180f2b66455c79d9408..da4a8d8379ed465cd748e43e8319051ffba8dfe0 100644
--- a/manifests/batches/deepseek/000023.json
+++ b/manifests/batches/deepseek/000023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000023",
   "batch_fingerprint": "2380093e606e5200be0cc562da22b208913d0909d8d084250df7f2cc74ae0fd8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000023-0000-881e7f0e006bdd6f.parquet",
-      "sha256": "881e7f0e006bdd6f78e5aaf877a6597991688565069ac7895ad847e259830da8",
-      "bytes": 342720,
-      "rows": 102,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/dev/deepseek-000023-0000-ed73f0c3be1630c1.parquet",
-      "sha256": "ed73f0c3be1630c12518994f9bc0fbe644e1989abada6f2ec5b8c17adc61333b",
-      "bytes": 66085,
-      "rows": 10,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000023-0000-5b04858b1c746a65.parquet",
-      "sha256": "5b04858b1c746a65697d7b96d355f196222fa7c0f2511e9010f70d333fe452d4",
-      "bytes": 66307,
-      "rows": 9,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1162",
     "deepseek:thm_1163",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001197.lean\",\"5ddfd7742b36137f331fe0ce66a9175ecf5c4063a60dd07c9b8f46e941c6c871\",0,\"thm_1209\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001198.lean\",\"e6cae1e4aae3ac607acc03cf46181d5c25a773999d9e79424ebbf5690051ba71\",0,\"thm_1210\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001199.lean\",\"b1bb20f894ed0e8cc1bf4545273eb32908572935204f0483cecb74fd6170a7a0\",0,\"thm_1211\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342720,
+      "path": "data/train/p36/deepseek-000023-0000-881e7f0e006bdd6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "881e7f0e006bdd6f78e5aaf877a6597991688565069ac7895ad847e259830da8"
+    },
+    {
+      "bytes": 66085,
+      "path": "data/dev/p36/deepseek-000023-0000-ed73f0c3be1630c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ed73f0c3be1630c12518994f9bc0fbe644e1989abada6f2ec5b8c17adc61333b"
+    },
+    {
+      "bytes": 66307,
+      "path": "data/internal_test/p36/deepseek-000023-0000-5b04858b1c746a65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5b04858b1c746a65697d7b96d355f196222fa7c0f2511e9010f70d333fe452d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000024.json b/manifests/batches/deepseek/000024.json
index 5ccbe536084f56fce55ac384b57a5979819ac3ad..d41d5ad655e0961331897136423c2443b96f9adc 100644
--- a/manifests/batches/deepseek/000024.json
+++ b/manifests/batches/deepseek/000024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000024",
   "batch_fingerprint": "bbed6b499da96061c1b371962e1834018a6137a5fbdd275f361d165f2962baa7",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000024-0000-b558c4f4476ba74b.parquet",
-      "sha256": "b558c4f4476ba74bfa8cf3dbbfb4e9e99a0ba4d0bfef70310cc43a9facbb16e6",
-      "bytes": 332706,
-      "rows": 99,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000024-0000-92b949c07afb6736.parquet",
-      "sha256": "92b949c07afb6736303a1a4cd20e75277e15d78100733bfadc175cccabe0f05f",
-      "bytes": 65948,
-      "rows": 13,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1212",
     "deepseek:thm_1213",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001247.lean\",\"72d55f462c5650dbd822d6aa276af51ad0df145260e2ee34872c5d35c8de7103\",0,\"thm_1259\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001248.lean\",\"32969f8db7354af91c5d3c4130079cb530fe0e01097cd17fc8bb4a95299921e6\",0,\"thm_1260\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001249.lean\",\"4b1e9284d46b8da493dad60911acd16ad5cc51b66b7d22acf51b900d822d4afc\",0,\"thm_1261\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332706,
+      "path": "data/train/p3f/deepseek-000024-0000-b558c4f4476ba74b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "b558c4f4476ba74bfa8cf3dbbfb4e9e99a0ba4d0bfef70310cc43a9facbb16e6"
+    },
+    {
+      "bytes": 65948,
+      "path": "data/internal_test/p3f/deepseek-000024-0000-92b949c07afb6736.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "92b949c07afb6736303a1a4cd20e75277e15d78100733bfadc175cccabe0f05f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000025.json b/manifests/batches/deepseek/000025.json
index cb275c89cd0afa0f952a62923e3fcfaf8426089d..4d7fd9d18d7a610eae3fe06b66c569f43dd0a03d 100644
--- a/manifests/batches/deepseek/000025.json
+++ b/manifests/batches/deepseek/000025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000025",
   "batch_fingerprint": "fb0c44b613a52a171408a451ffbd8ebe59d242571e9a2fc41955fa295591d6f3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000025-0000-5248f30e7c284a15.parquet",
-      "sha256": "5248f30e7c284a1514fe1d9d3d985f5530733d604f52b65624cdd7ae973a38b3",
-      "bytes": 337348,
-      "rows": 98,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/dev/deepseek-000025-0000-17e61d1a0ec3d003.parquet",
-      "sha256": "17e61d1a0ec3d003d152aee5806509c9dff517ec4e1089fc93927e905e77001e",
-      "bytes": 35451,
-      "rows": 3,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000025-0000-1242aecf31454d11.parquet",
-      "sha256": "1242aecf31454d111dd0be274fd39cffb56198483203a2770fc1e90011263396",
-      "bytes": 71507,
-      "rows": 21,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1262",
     "deepseek:thm_1263",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001297.lean\",\"e71a16d31aa9eff24435d323499092d3f70d292b7c0c09d43e897c3ab8cc1b80\",0,\"thm_1309\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001298.lean\",\"2a29116f07ae2a315a748d1b940300ad4270e7e167b69e28d4fd6b4803111442\",0,\"thm_1310\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001299.lean\",\"5737e10ac95ed7b7b486c25f8ba43d4ee4895950a3a4e24d2788df198e89e054\",0,\"thm_1311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337348,
+      "path": "data/train/p7c/deepseek-000025-0000-5248f30e7c284a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "5248f30e7c284a1514fe1d9d3d985f5530733d604f52b65624cdd7ae973a38b3"
+    },
+    {
+      "bytes": 35451,
+      "path": "data/dev/p7c/deepseek-000025-0000-17e61d1a0ec3d003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "17e61d1a0ec3d003d152aee5806509c9dff517ec4e1089fc93927e905e77001e"
+    },
+    {
+      "bytes": 71507,
+      "path": "data/internal_test/p7c/deepseek-000025-0000-1242aecf31454d11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1242aecf31454d111dd0be274fd39cffb56198483203a2770fc1e90011263396"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000026.json b/manifests/batches/deepseek/000026.json
index 491109a32821857746309a59d686956b32427f1a..707af62139233d8d3834569a6b904f8f984aee3f 100644
--- a/manifests/batches/deepseek/000026.json
+++ b/manifests/batches/deepseek/000026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000026",
   "batch_fingerprint": "33ab46a13aebabe618cda30e7c82a48e700a11f05c13d375a76cab5b3b195b43",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000026-0000-db753fd722d9c002.parquet",
-      "sha256": "db753fd722d9c0023096091ef34a89a637269563d294b44b7b1e65bc57c1eeeb",
-      "bytes": 358102,
-      "rows": 100,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/dev/deepseek-000026-0000-a732ae3688adb78e.parquet",
-      "sha256": "a732ae3688adb78e23cbacbaf358958280b5c71c393ca71bcbfacf454dc4719b",
-      "bytes": 67517,
-      "rows": 15,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000026-0000-ba8d7142b5e6d6c9.parquet",
-      "sha256": "ba8d7142b5e6d6c9305eb886293851944af3dded24ccce799b4dc0216b9f2589",
-      "bytes": 50190,
-      "rows": 12,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1312",
     "deepseek:thm_1313",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001347.lean\",\"925ee382bde4aa3551c3901945984664115c1328e93df1c3f50b9744fbf609f9\",0,\"thm_1359\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001348.lean\",\"f85f09117cb074992cabcce09c61201f5cdcae7a7fc95a66755ece7c47c564ab\",0,\"thm_1360\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001349.lean\",\"edd592a4b620c80f303ea8c8706fc969b867337f826b5f2327a10481ac4b0c7e\",0,\"thm_1361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358102,
+      "path": "data/train/p73/deepseek-000026-0000-db753fd722d9c002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "db753fd722d9c0023096091ef34a89a637269563d294b44b7b1e65bc57c1eeeb"
+    },
+    {
+      "bytes": 67517,
+      "path": "data/dev/p73/deepseek-000026-0000-a732ae3688adb78e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a732ae3688adb78e23cbacbaf358958280b5c71c393ca71bcbfacf454dc4719b"
+    },
+    {
+      "bytes": 50190,
+      "path": "data/internal_test/p73/deepseek-000026-0000-ba8d7142b5e6d6c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ba8d7142b5e6d6c9305eb886293851944af3dded24ccce799b4dc0216b9f2589"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000027.json b/manifests/batches/deepseek/000027.json
index 61c5d36f466421065f72fa328bd523d435e5afdf..2badccc9de1eac03cdae15e285dcf10ac5982f1b 100644
--- a/manifests/batches/deepseek/000027.json
+++ b/manifests/batches/deepseek/000027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000027",
   "batch_fingerprint": "a1a086e489ba25e432734e0fbe858dfb938563f17bbba67dc04fe7931b5388a0",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000027-0000-a14548107f5a141e.parquet",
-      "sha256": "a14548107f5a141e094840737d1f2ead046e06a227e217594c5ecbb81e97d398",
-      "bytes": 328038,
-      "rows": 94,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/dev/deepseek-000027-0000-86c3a0a57429c8b5.parquet",
-      "sha256": "86c3a0a57429c8b57de86ebca7e5bec06d93196bd6f6ed51d8f3457d4f069bb2",
-      "bytes": 45397,
-      "rows": 6,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000027-0000-439be81274c5d64e.parquet",
-      "sha256": "439be81274c5d64ef6377b26c3e91fd718d276a9d2ec12bf17fb5abd1e1542d4",
-      "bytes": 60832,
-      "rows": 16,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1362",
     "deepseek:thm_1363",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001397.lean\",\"80d7f4e3dce8690bd05eb2747412fe47cffce123dd41d5a93ac25be9de438ddf\",0,\"thm_1409\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001398.lean\",\"08a1deb96211b4a526a22de3940e4df107bcd8afc31081e69225ae066d67d67a\",0,\"thm_1410\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001399.lean\",\"286093a920d41798fff0494ef8bf7b3bf5d5f98bf0390381740cf5c59f034bc9\",0,\"thm_1411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328038,
+      "path": "data/train/p61/deepseek-000027-0000-a14548107f5a141e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "a14548107f5a141e094840737d1f2ead046e06a227e217594c5ecbb81e97d398"
+    },
+    {
+      "bytes": 45397,
+      "path": "data/dev/p61/deepseek-000027-0000-86c3a0a57429c8b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "86c3a0a57429c8b57de86ebca7e5bec06d93196bd6f6ed51d8f3457d4f069bb2"
+    },
+    {
+      "bytes": 60832,
+      "path": "data/internal_test/p61/deepseek-000027-0000-439be81274c5d64e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "439be81274c5d64ef6377b26c3e91fd718d276a9d2ec12bf17fb5abd1e1542d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000028.json b/manifests/batches/deepseek/000028.json
index 5cad482895cf16d1485f46a862b4f54f8ccff04d..dde7a12d171fcf8d583a945e5d3b767b508c414f 100644
--- a/manifests/batches/deepseek/000028.json
+++ b/manifests/batches/deepseek/000028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000028",
   "batch_fingerprint": "f91d08100c57f64dd5e73b821cc32c4935223a9aa0c57efd4ee4481ebf5b4988",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000028-0000-72ee09d3d081e315.parquet",
-      "sha256": "72ee09d3d081e31557e9255cde9c918aeea2762969d3053c1e3fa492b12aed3d",
-      "bytes": 344275,
-      "rows": 103,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    },
-    {
-      "path": "data/dev/deepseek-000028-0000-e95735bde478ef07.parquet",
-      "sha256": "e95735bde478ef07d0650844d9d4f805ba63b60ef6c19af7722bf2f28d643b75",
-      "bytes": 44556,
-      "rows": 9,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000028-0000-ac5d07df897f82a0.parquet",
-      "sha256": "ac5d07df897f82a0796ff70dddf6d0e4636013985350c144d499ff1947ff53af",
-      "bytes": 41465,
-      "rows": 8,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1412",
     "deepseek:thm_1413",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001446.lean\",\"248bcbf8a95b6298a22e730f8c620a651fc0606aef9db477781e3dd7089fcf09\",0,\"thm_1458\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001448.lean\",\"7014b2f41fd6663efefa6d19ce5f080020e8cd4d01d2525b1e590c693afc8f4d\",0,\"thm_1460\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001449.lean\",\"ff2c7cd64816d91e37b19b6d75948f0ae10091fe392b3074385418b2490aa9e4\",0,\"thm_1461\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344275,
+      "path": "data/train/p9a/deepseek-000028-0000-72ee09d3d081e315.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "72ee09d3d081e31557e9255cde9c918aeea2762969d3053c1e3fa492b12aed3d"
+    },
+    {
+      "bytes": 44556,
+      "path": "data/dev/p9a/deepseek-000028-0000-e95735bde478ef07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e95735bde478ef07d0650844d9d4f805ba63b60ef6c19af7722bf2f28d643b75"
+    },
+    {
+      "bytes": 41465,
+      "path": "data/internal_test/p9a/deepseek-000028-0000-ac5d07df897f82a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ac5d07df897f82a0796ff70dddf6d0e4636013985350c144d499ff1947ff53af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000029.json b/manifests/batches/deepseek/000029.json
index d0f081d9791c6b9e893f466a750aa704c0650b5d..291535898ad95cfc77fd7b9abdf08f38e094fef3 100644
--- a/manifests/batches/deepseek/000029.json
+++ b/manifests/batches/deepseek/000029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000029",
   "batch_fingerprint": "de725f7f4bea16f60726fea7b584aee6dc1699d0a162bce4cf553368e409cb89",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000029-0000-64699f3e6c484bb2.parquet",
-      "sha256": "64699f3e6c484bb20321d17ce9bf1e95995cf3e21c08ba4b8dd4d7d2575d9d2a",
-      "bytes": 352856,
-      "rows": 106,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    },
-    {
-      "path": "data/dev/deepseek-000029-0000-7743756c163e563d.parquet",
-      "sha256": "7743756c163e563d362eee1e4c5b9567a975b472e9a9c5416c2ecac3b130d654",
-      "bytes": 44523,
-      "rows": 2,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000029-0000-834ce47f7e672c6c.parquet",
-      "sha256": "834ce47f7e672c6c49dc9eb15860d8a6c10fa3b1f090e1e0ee1a5b87b892e928",
-      "bytes": 63110,
-      "rows": 10,
-      "revision": "7caaac446fabc71133978f9b799d9864575b7732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1462",
     "deepseek:thm_1463",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001497.lean\",\"bde961eac873b339d4840196c5bb122e2ae3ca75fd6fd992a374a0b71e9d8263\",0,\"thm_1509\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001498.lean\",\"b455d6da00c1f758e40a605e8b88e9801d106c8be360fe56e70412fffcb3de63\",0,\"thm_1510\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001499.lean\",\"d23c7050d643ec8b30d0953ab245785a3078ccb3ae3ec20101fc4bd8ac81ae04\",0,\"thm_1511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352856,
+      "path": "data/train/p7d/deepseek-000029-0000-64699f3e6c484bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "64699f3e6c484bb20321d17ce9bf1e95995cf3e21c08ba4b8dd4d7d2575d9d2a"
+    },
+    {
+      "bytes": 44523,
+      "path": "data/dev/p7d/deepseek-000029-0000-7743756c163e563d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7743756c163e563d362eee1e4c5b9567a975b472e9a9c5416c2ecac3b130d654"
+    },
+    {
+      "bytes": 63110,
+      "path": "data/internal_test/p7d/deepseek-000029-0000-834ce47f7e672c6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "834ce47f7e672c6c49dc9eb15860d8a6c10fa3b1f090e1e0ee1a5b87b892e928"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000030.json b/manifests/batches/deepseek/000030.json
index e29fd63aa3ea1e029295a0be5c047d14fdfe35d8..7c37ffa5d22d3c99cfa19508a86921f647e84bbf 100644
--- a/manifests/batches/deepseek/000030.json
+++ b/manifests/batches/deepseek/000030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000030",
   "batch_fingerprint": "a15dfefd7bf2ab123905df0d9d0a5f6aa3bd9439d770ef1ab3735dea14fc08c0",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000030-0000-6f4a7dc7652c8108.parquet",
-      "sha256": "6f4a7dc7652c8108111ddab3c8c7fff074ff63976a62255dcb2d703b1f687331",
-      "bytes": 336701,
-      "rows": 113,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000030-0000-b3c358d9690efe66.parquet",
-      "sha256": "b3c358d9690efe66ebc7e2b3ab9ffe7cd881df31e1b746cca835b0e2b981ee0f",
-      "bytes": 56462,
-      "rows": 11,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1512",
     "deepseek:thm_1513",
@@ -171,5 +155,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001547.lean\",\"95b119f270bf303e7cc8a3a734abfca971810ab0b38ebc45bf18a7a6290b0603\",0,\"thm_1560\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001548.lean\",\"79e90ef7a6beeefcd139a2011a976be6b31d94df4cd0b972edac71e70b4b77ea\",0,\"thm_1561\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001549.lean\",\"fc4abfea4c2535faff86e5941ba92b31294abec5e1ff9655ebb9543dc71d0ae1\",0,\"thm_1562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336701,
+      "path": "data/train/p42/deepseek-000030-0000-6f4a7dc7652c8108.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "6f4a7dc7652c8108111ddab3c8c7fff074ff63976a62255dcb2d703b1f687331"
+    },
+    {
+      "bytes": 56462,
+      "path": "data/internal_test/p42/deepseek-000030-0000-b3c358d9690efe66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b3c358d9690efe66ebc7e2b3ab9ffe7cd881df31e1b746cca835b0e2b981ee0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000031.json b/manifests/batches/deepseek/000031.json
index 8b4b7cbc2e7321df582952ef2c76a8b78c1675ab..698264ddecaa27d2b63e0b2e2cf6ed5d9b071bb9 100644
--- a/manifests/batches/deepseek/000031.json
+++ b/manifests/batches/deepseek/000031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000031",
   "batch_fingerprint": "c65de6543b427597bb5b5eb8521ae489096744a8d0d9f79997465383cfd662d1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000031-0000-03b90b0e0892b474.parquet",
-      "sha256": "03b90b0e0892b474e319d6e47f6d2425a0cd7c4881b97600b5ec53d13a85fc32",
-      "bytes": 366129,
-      "rows": 106,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/dev/deepseek-000031-0000-7218b4898ab306ad.parquet",
-      "sha256": "7218b4898ab306ad0bb3bf6db2f6fd8d321d694aceaa1b02522b4680b3477f9c",
-      "bytes": 56074,
-      "rows": 10,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000031-0000-62ea9f6338dcd969.parquet",
-      "sha256": "62ea9f6338dcd96944899433ce41120baa300fa3eb3436a085fbeefd6965a0cb",
-      "bytes": 35129,
-      "rows": 4,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1563",
     "deepseek:thm_1564",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001597.lean\",\"5d2a1f7f96c92209a6a09fe14ec54e111c771f924f45cebec067b0a91db37888\",0,\"thm_1610\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001598.lean\",\"d5b12aaf9d0c9f86a89a9ab9a26bb761608be23fbc0d571aa05078f0e5e44610\",0,\"thm_1611\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001599.lean\",\"cee725a56b97ee58449332f0ab3ae18d9d2e09fdc19a5e9fceb2e1cdcefff262\",0,\"thm_1612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366129,
+      "path": "data/train/pe0/deepseek-000031-0000-03b90b0e0892b474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "03b90b0e0892b474e319d6e47f6d2425a0cd7c4881b97600b5ec53d13a85fc32"
+    },
+    {
+      "bytes": 56074,
+      "path": "data/dev/pe0/deepseek-000031-0000-7218b4898ab306ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7218b4898ab306ad0bb3bf6db2f6fd8d321d694aceaa1b02522b4680b3477f9c"
+    },
+    {
+      "bytes": 35129,
+      "path": "data/internal_test/pe0/deepseek-000031-0000-62ea9f6338dcd969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "62ea9f6338dcd96944899433ce41120baa300fa3eb3436a085fbeefd6965a0cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000032.json b/manifests/batches/deepseek/000032.json
index 5a329adf9589436d160ac82ca65b68aa117d56af..988fd37dd676d2342c61c4f533da3601a49c1a79 100644
--- a/manifests/batches/deepseek/000032.json
+++ b/manifests/batches/deepseek/000032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000032",
   "batch_fingerprint": "dbe6389a8f465291584fbe43892a97cb9555b90fa3fb97f9dc46619a23237ae6",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000032-0000-ca8abb2a83b40fe9.parquet",
-      "sha256": "ca8abb2a83b40fe9bf71f8c9397c4d839a191723f6433c2cfd26d70a072072f7",
-      "bytes": 345839,
-      "rows": 104,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/dev/deepseek-000032-0000-9e26a1e99d124eb8.parquet",
-      "sha256": "9e26a1e99d124eb83973eb94c63f562f51166fb01313019fe3f53d7f4dff65dc",
-      "bytes": 43730,
-      "rows": 6,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000032-0000-dc29e0350c8ba425.parquet",
-      "sha256": "dc29e0350c8ba425e25e1da29805d399fcf9272a1cdfe62663e72d9cfbf8d990",
-      "bytes": 48848,
-      "rows": 7,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1613",
     "deepseek:thm_1614",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001646.lean\",\"0ecc6754db74c1b0367d0b823f11d41d4cce2620786a182a3c78e3b723f52ff7\",0,\"thm_1659\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001647.lean\",\"a0e170e120375388836403f378d131611426e8eb0d1ac78db2253978fbee7398\",0,\"thm_1660\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001648.lean\",\"af0ad399dab191a401b7eb6c5fcdcdcca966b4c759c37ae30655fec52bd33c59\",0,\"thm_1661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345839,
+      "path": "data/train/pe1/deepseek-000032-0000-ca8abb2a83b40fe9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "ca8abb2a83b40fe9bf71f8c9397c4d839a191723f6433c2cfd26d70a072072f7"
+    },
+    {
+      "bytes": 43730,
+      "path": "data/dev/pe1/deepseek-000032-0000-9e26a1e99d124eb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9e26a1e99d124eb83973eb94c63f562f51166fb01313019fe3f53d7f4dff65dc"
+    },
+    {
+      "bytes": 48848,
+      "path": "data/internal_test/pe1/deepseek-000032-0000-dc29e0350c8ba425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "dc29e0350c8ba425e25e1da29805d399fcf9272a1cdfe62663e72d9cfbf8d990"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000033.json b/manifests/batches/deepseek/000033.json
index 2d61ef091948d8a606305395e5a34b7129286a3a..3bb908675b6253d2f5e8cfccb1b6a40373e5fe4f 100644
--- a/manifests/batches/deepseek/000033.json
+++ b/manifests/batches/deepseek/000033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000033",
   "batch_fingerprint": "61fe64c105333f043bc03126affb40c6b58465687eabe50be18a55ec5e54b3f4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000033-0000-f1fe9cbfe2401e41.parquet",
-      "sha256": "f1fe9cbfe2401e4157a805ffd2d32a2243ce6308e6cdee9b0f10c1b1a00d8d5a",
-      "bytes": 328947,
-      "rows": 112,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000033-0000-94f3938a4011e387.parquet",
-      "sha256": "94f3938a4011e3871956699cda153c7290d3b61fffc38b27381dfa122858f702",
-      "bytes": 83438,
-      "rows": 15,
-      "revision": "97015bba8c236c555853914fa2dc830cefc0e67b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1663",
     "deepseek:thm_1664",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001697.lean\",\"dd3961847b508116b34fa6a476704cc8823f0241a3100b60392278717f50a589\",0,\"thm_1710\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001698.lean\",\"76c052f6bfb13ab2d68f293e879d04bc6209e54a375d35e38143cd58152838a8\",0,\"thm_1711\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001699.lean\",\"e422c1d27b71031167e88b9997752cde3c127f0aea9f1d9c07792e0ecfff45a2\",0,\"thm_1712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328947,
+      "path": "data/train/p96/deepseek-000033-0000-f1fe9cbfe2401e41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "f1fe9cbfe2401e4157a805ffd2d32a2243ce6308e6cdee9b0f10c1b1a00d8d5a"
+    },
+    {
+      "bytes": 83438,
+      "path": "data/internal_test/p96/deepseek-000033-0000-94f3938a4011e387.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "94f3938a4011e3871956699cda153c7290d3b61fffc38b27381dfa122858f702"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000034.json b/manifests/batches/deepseek/000034.json
index 11edcc3b958bd2f47adf2f858a5b65f3686d5a8e..9108e7f68949e1554abb227c8d87c1ad61a71f8c 100644
--- a/manifests/batches/deepseek/000034.json
+++ b/manifests/batches/deepseek/000034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000034",
   "batch_fingerprint": "d41e57f31a92e5b0cebf2e8164d8f1b67eaf5a95b369c4a3672ad63e0b8a9a45",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000034-0000-799a3b46a59c7ba3.parquet",
-      "sha256": "799a3b46a59c7ba3d1776fd1834f1b32dd34c91fd0f1f6d9d380cdde97d7b317",
-      "bytes": 318815,
-      "rows": 97,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000034-0000-fb62abe950c22232.parquet",
-      "sha256": "fb62abe950c22232da90a065bde955180f640c710b1277e36c3b8b4bbbbb6414",
-      "bytes": 36948,
-      "rows": 4,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000034-0000-f411d77412dfae18.parquet",
-      "sha256": "f411d77412dfae18337c5d2a49e196d5b44932df5ffbd101db94dc73fff525f5",
-      "bytes": 72048,
-      "rows": 17,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1713",
     "deepseek:thm_1714",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001747.lean\",\"13bad6ae8836840c6649ca1d153737e1b7c7e7097de330066bd6ca6af9b53ac8\",0,\"thm_1760\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001748.lean\",\"ae29c6fbbee827ad07bfe13f1a0b6943cc2e1f206edb758bd3d5238a912be09a\",0,\"thm_1761\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001749.lean\",\"3761062b4f69faf8279262f75c884dec27ac804f9ba0d19f68378316aff12619\",0,\"thm_1762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318815,
+      "path": "data/train/pb9/deepseek-000034-0000-799a3b46a59c7ba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "799a3b46a59c7ba3d1776fd1834f1b32dd34c91fd0f1f6d9d380cdde97d7b317"
+    },
+    {
+      "bytes": 36948,
+      "path": "data/dev/pb9/deepseek-000034-0000-fb62abe950c22232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fb62abe950c22232da90a065bde955180f640c710b1277e36c3b8b4bbbbb6414"
+    },
+    {
+      "bytes": 72048,
+      "path": "data/internal_test/pb9/deepseek-000034-0000-f411d77412dfae18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f411d77412dfae18337c5d2a49e196d5b44932df5ffbd101db94dc73fff525f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000035.json b/manifests/batches/deepseek/000035.json
index b5c22a746277989b000ef3d1cc4f702518d84268..9ba10f0836cfd7341c671b6e04030c742620e7f2 100644
--- a/manifests/batches/deepseek/000035.json
+++ b/manifests/batches/deepseek/000035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000035",
   "batch_fingerprint": "8568ca946596868375aefb389120bb2bee70208632f3df0802905e7435228320",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000035-0000-f03cce1859812158.parquet",
-      "sha256": "f03cce1859812158508d2af6b85074dae1013190a5c1aaedaa5ff894b4942f45",
-      "bytes": 292766,
-      "rows": 89,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000035-0000-2a3263fbf87bd6bd.parquet",
-      "sha256": "2a3263fbf87bd6bd73146a90409176f54ea9f1caa51b9c41d49b230c773a63bb",
-      "bytes": 56476,
-      "rows": 14,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000035-0000-57c2000e62cf2257.parquet",
-      "sha256": "57c2000e62cf22577dce5fba7e159da790470f7b9d6ef1060a2232d755090fd5",
-      "bytes": 62912,
-      "rows": 12,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1763",
     "deepseek:thm_1764",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001797.lean\",\"521100e9fab164a5088c87406c7067378d89307a827bd89934b9a226db3b6e79\",0,\"thm_1811\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001798.lean\",\"eb589bff55aa137762e330a4e3e4491e844faebab022c4bd045eaaa98e418ca9\",0,\"thm_1812\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001799.lean\",\"41d7cb5838266342149c0347a08188957d0d2a7f0301d069114fc0a2397c74f8\",0,\"thm_1813\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292766,
+      "path": "data/train/p26/deepseek-000035-0000-f03cce1859812158.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "f03cce1859812158508d2af6b85074dae1013190a5c1aaedaa5ff894b4942f45"
+    },
+    {
+      "bytes": 56476,
+      "path": "data/dev/p26/deepseek-000035-0000-2a3263fbf87bd6bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "2a3263fbf87bd6bd73146a90409176f54ea9f1caa51b9c41d49b230c773a63bb"
+    },
+    {
+      "bytes": 62912,
+      "path": "data/internal_test/p26/deepseek-000035-0000-57c2000e62cf2257.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "57c2000e62cf22577dce5fba7e159da790470f7b9d6ef1060a2232d755090fd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000036.json b/manifests/batches/deepseek/000036.json
index bb2f101d7c5f2d857429225c563c9d94a15747d1..bfc32ee56c820e51aef164c791dd9a3b745b8e64 100644
--- a/manifests/batches/deepseek/000036.json
+++ b/manifests/batches/deepseek/000036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000036",
   "batch_fingerprint": "4a2e896d3a7065be39f2c0db81dbfbfad7a5132cd2b41e90a8ed4710f52c53e7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000036-0000-d6f7bd46c03c593f.parquet",
-      "sha256": "d6f7bd46c03c593f06f17d387cecd45cb2a8e7ae7f33c153cb17f92aff2d0369",
-      "bytes": 302074,
-      "rows": 97,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/deepseek-000036-0000-8c59214d94f682f2.parquet",
-      "sha256": "8c59214d94f682f224016ea223b7187ce0e0c995af516aac43e3bb4e0a15d782",
-      "bytes": 47242,
-      "rows": 14,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000036-0000-0fb790fb0001b9a5.parquet",
-      "sha256": "0fb790fb0001b9a53c5e2d90cab72a42d54b98c4da8477c6a70e355d2780c9ab",
-      "bytes": 55016,
-      "rows": 14,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1814",
     "deepseek:thm_1815",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001847.lean\",\"7ac2fd629c0a11302875f15391759355dc9d98cfa596b35aef36775594fcdb6b\",0,\"thm_1862\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001848.lean\",\"1203c8fe7cd7bfed5f24232d57e479ae8ef435e0113278f27d12ce02638f3623\",0,\"thm_1863\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001849.lean\",\"fec6b84fdbf117955239d66463d0da74b706a9d649ea9acbad623c989c85cd9a\",0,\"thm_1864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302074,
+      "path": "data/train/p13/deepseek-000036-0000-d6f7bd46c03c593f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "d6f7bd46c03c593f06f17d387cecd45cb2a8e7ae7f33c153cb17f92aff2d0369"
+    },
+    {
+      "bytes": 47242,
+      "path": "data/dev/p13/deepseek-000036-0000-8c59214d94f682f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8c59214d94f682f224016ea223b7187ce0e0c995af516aac43e3bb4e0a15d782"
+    },
+    {
+      "bytes": 55016,
+      "path": "data/internal_test/p13/deepseek-000036-0000-0fb790fb0001b9a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0fb790fb0001b9a53c5e2d90cab72a42d54b98c4da8477c6a70e355d2780c9ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000037.json b/manifests/batches/deepseek/000037.json
index 0e23313055ce429625f77da62ee481229e62954d..ecf1f09b9b8780564076c6e5459bb41eafb919bd 100644
--- a/manifests/batches/deepseek/000037.json
+++ b/manifests/batches/deepseek/000037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000037",
   "batch_fingerprint": "76682b8198a6a06c9cb4cc00e78c371f0ba9739c99b4e82c2150bad4fa432db5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000037-0000-13848c0964999936.parquet",
-      "sha256": "13848c0964999936debfcedfdd045a4e1f518102341e70d7b01e1e2fc77892dc",
-      "bytes": 295407,
-      "rows": 94,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/deepseek-000037-0000-82c1ad2bb13285d1.parquet",
-      "sha256": "82c1ad2bb13285d1f084bf85788cb9974f793f7afda5ed620f47cd23a733528b",
-      "bytes": 44604,
-      "rows": 7,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000037-0000-16073a10ae08768f.parquet",
-      "sha256": "16073a10ae08768f448db7001c4ca09559002198740add23f20038ad0c236bb9",
-      "bytes": 41844,
-      "rows": 8,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1865",
     "deepseek:thm_1866",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001897.lean\",\"3ab1fa0d17c69ad2f9f467521c6c524136fa9a69bad8c1e902d6373cd7d82a4c\",0,\"thm_1912\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001898.lean\",\"42c8d79bf8efd4bc93c8b0a302d5ee2e4b990abdb1ff81c20f77a4f998ec9619\",0,\"thm_1913\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001899.lean\",\"85423d4cd3470c9d44af31ba78376900803e50b50cd142c74b970618dff9e151\",0,\"thm_1914\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295407,
+      "path": "data/train/p99/deepseek-000037-0000-13848c0964999936.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "13848c0964999936debfcedfdd045a4e1f518102341e70d7b01e1e2fc77892dc"
+    },
+    {
+      "bytes": 44604,
+      "path": "data/dev/p99/deepseek-000037-0000-82c1ad2bb13285d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "82c1ad2bb13285d1f084bf85788cb9974f793f7afda5ed620f47cd23a733528b"
+    },
+    {
+      "bytes": 41844,
+      "path": "data/internal_test/p99/deepseek-000037-0000-16073a10ae08768f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "16073a10ae08768f448db7001c4ca09559002198740add23f20038ad0c236bb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000038.json b/manifests/batches/deepseek/000038.json
index d5b657215408ca4f51c5b9a28227424ac62e0dd2..d545173301a7dcacd09b1086dbf4c5a1674b1659 100644
--- a/manifests/batches/deepseek/000038.json
+++ b/manifests/batches/deepseek/000038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000038",
   "batch_fingerprint": "7687b9be8e044bc8a171660fdac5cff075fc764f473182aa652918c061a23697",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000038-0000-e34c638a22ab7561.parquet",
-      "sha256": "e34c638a22ab75611f1b4544d866854334c8d7aafd3a88a8fa2b1b6df7d10a56",
-      "bytes": 347144,
-      "rows": 94,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000038-0000-9f009bcb08ec83b6.parquet",
-      "sha256": "9f009bcb08ec83b6f2e7098e16c51c3114599351bcc9f3fda0f4c75b0162a94b",
-      "bytes": 72405,
-      "rows": 17,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1915",
     "deepseek:thm_1916",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001947.lean\",\"36e2c1ee8631f15be90298ef968d2ccfd324e88d5e54f893e8a0bedafcc6f651\",0,\"thm_1962\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001948.lean\",\"49af5fd1870aeecac6489050f17c6dadabc1ebd1981727c4059fe4094a0dbea3\",0,\"thm_1963\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001949.lean\",\"a3c9dee7bf864878648b9d1eb7bf6144268feea1a78d8c8fe1d18a9015467867\",0,\"thm_1964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347144,
+      "path": "data/train/p37/deepseek-000038-0000-e34c638a22ab7561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "e34c638a22ab75611f1b4544d866854334c8d7aafd3a88a8fa2b1b6df7d10a56"
+    },
+    {
+      "bytes": 72405,
+      "path": "data/internal_test/p37/deepseek-000038-0000-9f009bcb08ec83b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9f009bcb08ec83b6f2e7098e16c51c3114599351bcc9f3fda0f4c75b0162a94b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000039.json b/manifests/batches/deepseek/000039.json
index 4779f99b82da93f1bb717975534a6084e7666b6a..4ce080ecfc2fd3ba42e69660a92f013f7c277c3c 100644
--- a/manifests/batches/deepseek/000039.json
+++ b/manifests/batches/deepseek/000039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000039",
   "batch_fingerprint": "f9139550ba0caf66cfbdab87ecf996649232714191baf7ed04b1f76724b2109c",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000039-0000-ffe47a83e4c0ab40.parquet",
-      "sha256": "ffe47a83e4c0ab406585620a8703707edb4441a93a7534309076815bc67e31b3",
-      "bytes": 366025,
-      "rows": 99,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000039-0000-b23b1eca432ba77e.parquet",
-      "sha256": "b23b1eca432ba77ed07c7dadb2888f66e0fc1e72df51f5bd0952bff6d1479d4d",
-      "bytes": 26651,
-      "rows": 3,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000039-0000-06a6cc030ab7db5c.parquet",
-      "sha256": "06a6cc030ab7db5caab4dfad347c152390708ed65ba440585f5b85f18b6b3424",
-      "bytes": 59486,
-      "rows": 16,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_1965",
     "deepseek:thm_1966",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001997.lean\",\"db33591666a0835a5cbd39c7784bcad777a40322eff9982c578fce3bd44d548b\",0,\"thm_2012\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001998.lean\",\"7be4a87e8ff8517e6a26cebdb030d5f7db49b1838ccccd540e46cfcd1fe70714\",0,\"thm_2013\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_001999.lean\",\"4041e0c4ca805c69c2de3aaf31df298dbe20f997d759f1897b3158072b3468cb\",0,\"thm_2014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366025,
+      "path": "data/train/pb1/deepseek-000039-0000-ffe47a83e4c0ab40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "ffe47a83e4c0ab406585620a8703707edb4441a93a7534309076815bc67e31b3"
+    },
+    {
+      "bytes": 26651,
+      "path": "data/dev/pb1/deepseek-000039-0000-b23b1eca432ba77e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b23b1eca432ba77ed07c7dadb2888f66e0fc1e72df51f5bd0952bff6d1479d4d"
+    },
+    {
+      "bytes": 59486,
+      "path": "data/internal_test/pb1/deepseek-000039-0000-06a6cc030ab7db5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "06a6cc030ab7db5caab4dfad347c152390708ed65ba440585f5b85f18b6b3424"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000040.json b/manifests/batches/deepseek/000040.json
index 1e73f467f324a04943fb07bd31001d4d1c025191..c6b3eb78f3f788cdab6607930d9494e8204f5279 100644
--- a/manifests/batches/deepseek/000040.json
+++ b/manifests/batches/deepseek/000040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000040",
   "batch_fingerprint": "b0f6ee682f5b72a1252c6fa7a731032ae678b94d08c6824ffc02de9a940ec803",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000040-0000-a487a135efbe2e71.parquet",
-      "sha256": "a487a135efbe2e71d55406841d526e8b699b27d3d14f0b7e244e5ecca276ac03",
-      "bytes": 334472,
-      "rows": 99,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000040-0000-9ef015aa0b8d56f9.parquet",
-      "sha256": "9ef015aa0b8d56f96933fb181c1614a284734175d597b4ba0a7942c386956c76",
-      "bytes": 53088,
-      "rows": 8,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000040-0000-cc94eb6ee696239d.parquet",
-      "sha256": "cc94eb6ee696239df57f1485bf89b6332e533676452877506e4f63cb1332f094",
-      "bytes": 59478,
-      "rows": 12,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2015",
     "deepseek:thm_2016",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002046.lean\",\"5c7950ca5dd8cd88bffea061336da0fc8351882316b2722d11a427ba57fc689e\",0,\"thm_2061\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002047.lean\",\"b90293a262d80db286467b4750f91e01354f872c5ec1a564c983eda7555f9b72\",0,\"thm_2062\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002049.lean\",\"6bbbfa339e0a6cd5a82638ab71bd940d94a5883c617decf5fbc716e1b640460d\",0,\"thm_2064\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334472,
+      "path": "data/train/pa7/deepseek-000040-0000-a487a135efbe2e71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "a487a135efbe2e71d55406841d526e8b699b27d3d14f0b7e244e5ecca276ac03"
+    },
+    {
+      "bytes": 53088,
+      "path": "data/dev/pa7/deepseek-000040-0000-9ef015aa0b8d56f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9ef015aa0b8d56f96933fb181c1614a284734175d597b4ba0a7942c386956c76"
+    },
+    {
+      "bytes": 59478,
+      "path": "data/internal_test/pa7/deepseek-000040-0000-cc94eb6ee696239d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cc94eb6ee696239df57f1485bf89b6332e533676452877506e4f63cb1332f094"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000041.json b/manifests/batches/deepseek/000041.json
index c5d359f6c4aae12331cb928f3019f6233dc41f5f..7a862048e2fd550f494df841d2531c013298799c 100644
--- a/manifests/batches/deepseek/000041.json
+++ b/manifests/batches/deepseek/000041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000041",
   "batch_fingerprint": "859d7cb5cfad340dfab44c64bcc36d16e1240b9a02f2286efb1e43e53651a63c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000041-0000-55dc4db6fa8645fe.parquet",
-      "sha256": "55dc4db6fa8645fe4fdc20f29ad8aef7354488a05ef2800bf37cec4709f8b25e",
-      "bytes": 376766,
-      "rows": 104,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000041-0000-bde18d26e50afb99.parquet",
-      "sha256": "bde18d26e50afb99a903c279abbb2de043db0b60415365b8fdc3af8bb0d8a710",
-      "bytes": 61470,
-      "rows": 12,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000041-0000-da01ec52e5d85e59.parquet",
-      "sha256": "da01ec52e5d85e59a2951107ce3fa04bc04d3d16db69e2b54b257dcfe46e6454",
-      "bytes": 61708,
-      "rows": 13,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2065",
     "deepseek:thm_2066",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002097.lean\",\"ee8e20d3f9c80225fc4c2fe8db40de6500c012030ce182b7e427767b7490a092\",0,\"thm_2112\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002098.lean\",\"722a147143cfe53b57b06499c6580dbe0678b7325aa389a9142322c0d4eba55d\",0,\"thm_2113\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002099.lean\",\"b0712ceb94bec013cf0dbd1a3833d3b25a694da60795a04647a3e73b898256bc\",0,\"thm_2114\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376766,
+      "path": "data/train/p0e/deepseek-000041-0000-55dc4db6fa8645fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "55dc4db6fa8645fe4fdc20f29ad8aef7354488a05ef2800bf37cec4709f8b25e"
+    },
+    {
+      "bytes": 61470,
+      "path": "data/dev/p0e/deepseek-000041-0000-bde18d26e50afb99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bde18d26e50afb99a903c279abbb2de043db0b60415365b8fdc3af8bb0d8a710"
+    },
+    {
+      "bytes": 61708,
+      "path": "data/internal_test/p0e/deepseek-000041-0000-da01ec52e5d85e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "da01ec52e5d85e59a2951107ce3fa04bc04d3d16db69e2b54b257dcfe46e6454"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000042.json b/manifests/batches/deepseek/000042.json
index 927e97cdc19d3265ae19e520dd68f1a04ac59c03..b94ea6e429b3759566f06f0933639939db1b66ad 100644
--- a/manifests/batches/deepseek/000042.json
+++ b/manifests/batches/deepseek/000042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000042",
   "batch_fingerprint": "5a556408a19fe9f9ebd173382497ed08f75795c176867e44b5b9c85c7459cd70",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000042-0000-9d8326afeb5cc630.parquet",
-      "sha256": "9d8326afeb5cc63023bd22f9c255b6344b41329a983e95cc832caa198cb99bb0",
-      "bytes": 324460,
-      "rows": 96,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/dev/deepseek-000042-0000-b67d2f988d6e7650.parquet",
-      "sha256": "b67d2f988d6e76506f2e43979c7589bec2910c33f1137d36dca46a4e502ace8c",
-      "bytes": 52420,
-      "rows": 11,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000042-0000-aa516f8f0648b899.parquet",
-      "sha256": "aa516f8f0648b899edb56b19e50bc57dd99c05c4dbebba692827f39fb46525fd",
-      "bytes": 57011,
-      "rows": 15,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2115",
     "deepseek:thm_2116",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002147.lean\",\"823a1ab1eca828868cbe56ace8d19ce76a7ee21fd3409800281ee5bb1819db63\",0,\"thm_2162\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002148.lean\",\"725349d6c80b75e13a69c8107c0d50d2fa02d38dbaf80b3f430c50c35a2a73b9\",0,\"thm_2163\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002149.lean\",\"a770822fdd5e79ffeeb59c182114bbff35417dfcf0cf1ac452b4653985d6e6b6\",0,\"thm_2164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324460,
+      "path": "data/train/pcb/deepseek-000042-0000-9d8326afeb5cc630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "9d8326afeb5cc63023bd22f9c255b6344b41329a983e95cc832caa198cb99bb0"
+    },
+    {
+      "bytes": 52420,
+      "path": "data/dev/pcb/deepseek-000042-0000-b67d2f988d6e7650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b67d2f988d6e76506f2e43979c7589bec2910c33f1137d36dca46a4e502ace8c"
+    },
+    {
+      "bytes": 57011,
+      "path": "data/internal_test/pcb/deepseek-000042-0000-aa516f8f0648b899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "aa516f8f0648b899edb56b19e50bc57dd99c05c4dbebba692827f39fb46525fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000043.json b/manifests/batches/deepseek/000043.json
index cc1592d83b422e0462135d77da78be142d9887cc..18be475eb6ccc79d439f3bb98eb0e394c5ba60b5 100644
--- a/manifests/batches/deepseek/000043.json
+++ b/manifests/batches/deepseek/000043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000043",
   "batch_fingerprint": "5c44cd87ea120278427e48db8b5ffc49f40b24689280abd2e9a1924ac4f72744",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000043-0000-30478163517008f5.parquet",
-      "sha256": "30478163517008f5fd97ed4d3536e0c9233a47f06d05a7a6f691e34607a9f60c",
-      "bytes": 374142,
-      "rows": 111,
-      "revision": "8af450d1d2adbe047051c7192b9ab78e8074475f"
-    },
-    {
-      "path": "data/dev/deepseek-000043-0000-3f83012fdbaa6ed3.parquet",
-      "sha256": "3f83012fdbaa6ed304c57eb95936acda9fa100bfa2bf868d28deb31ff0903f5e",
-      "bytes": 32004,
-      "rows": 2,
-      "revision": "8af450d1d2adbe047051c7192b9ab78e8074475f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000043-0000-b527639a84cbb353.parquet",
-      "sha256": "b527639a84cbb353d488fb3648ab6ef430a6cf7d19fcebd575f0e240a22c40ee",
-      "bytes": 38194,
-      "rows": 5,
-      "revision": "8af450d1d2adbe047051c7192b9ab78e8074475f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2165",
     "deepseek:thm_2166",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002197.lean\",\"449c305b11620c2c19d62fb5e2ff2d32708bd02bc343d4134808dd4bf1f6086a\",0,\"thm_2212\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002198.lean\",\"ffd8410e5596564da81bbf67bfbd760a98f4f38bb5537632dc57071787349d37\",0,\"thm_2213\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002199.lean\",\"e3dce80fc0299addf2c5610fc6121dee74bc42f402c5743fa64c0a0125462ea9\",0,\"thm_2214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374142,
+      "path": "data/train/p72/deepseek-000043-0000-30478163517008f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "30478163517008f5fd97ed4d3536e0c9233a47f06d05a7a6f691e34607a9f60c"
+    },
+    {
+      "bytes": 32004,
+      "path": "data/dev/p72/deepseek-000043-0000-3f83012fdbaa6ed3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3f83012fdbaa6ed304c57eb95936acda9fa100bfa2bf868d28deb31ff0903f5e"
+    },
+    {
+      "bytes": 38194,
+      "path": "data/internal_test/p72/deepseek-000043-0000-b527639a84cbb353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b527639a84cbb353d488fb3648ab6ef430a6cf7d19fcebd575f0e240a22c40ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000044.json b/manifests/batches/deepseek/000044.json
index d6cdfaaed21fca150729532afc6a98e9a75d086e..fd761425f7738f25d7e9fed2f2108162e1d51f91 100644
--- a/manifests/batches/deepseek/000044.json
+++ b/manifests/batches/deepseek/000044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000044",
   "batch_fingerprint": "0fc1631f03acbbbf18d7ee120259a467e31046000f8e087eab5b51f2cee6f955",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000044-0000-7e6fd339f33e0d5e.parquet",
-      "sha256": "7e6fd339f33e0d5ed825ac3a8f1c1b19ca455c747cb5af248342b8fac0e11c63",
-      "bytes": 294109,
-      "rows": 91,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/deepseek-000044-0000-6e1b8a410520c941.parquet",
-      "sha256": "6e1b8a410520c94149671159dbd36dbec8d1159e97c7e186227df502682523c2",
-      "bytes": 41785,
-      "rows": 8,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000044-0000-380e6789eb332ce2.parquet",
-      "sha256": "380e6789eb332ce290720c731d2be8ef198a8df41287330ed21e178be5d9b452",
-      "bytes": 64574,
-      "rows": 17,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2215",
     "deepseek:thm_2216",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002247.lean\",\"9c1b13c1fe70a03caf5e04fd9a12e6a445defa180e74a1e44e44d7f0c8a01596\",0,\"thm_2263\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002248.lean\",\"8bda664e979eadf307064004cfd0686173c26227e6ae855efc92a1f9529348de\",0,\"thm_2264\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002249.lean\",\"87f6ec58532decc3b9892bf4d7cbbbd24a7f2d5ee6b8fe39cc13db5058c473cd\",0,\"thm_2265\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294109,
+      "path": "data/train/p14/deepseek-000044-0000-7e6fd339f33e0d5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "7e6fd339f33e0d5ed825ac3a8f1c1b19ca455c747cb5af248342b8fac0e11c63"
+    },
+    {
+      "bytes": 41785,
+      "path": "data/dev/p14/deepseek-000044-0000-6e1b8a410520c941.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6e1b8a410520c94149671159dbd36dbec8d1159e97c7e186227df502682523c2"
+    },
+    {
+      "bytes": 64574,
+      "path": "data/internal_test/p14/deepseek-000044-0000-380e6789eb332ce2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "380e6789eb332ce290720c731d2be8ef198a8df41287330ed21e178be5d9b452"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000045.json b/manifests/batches/deepseek/000045.json
index 70f2cf41f28cc8fb28124ca6635ee29b99a1ee31..d6fce031849b4f77566619c36001e1c0ee6a5b1d 100644
--- a/manifests/batches/deepseek/000045.json
+++ b/manifests/batches/deepseek/000045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000045",
   "batch_fingerprint": "06d04991b86c0bde8f87c8e32cb504d025e308e66a004edd4e742d88949b8b49",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000045-0000-9f28fc18060d7fee.parquet",
-      "sha256": "9f28fc18060d7fee73a898f954188f84d22207e25f2cdbce815e41ca73a851cd",
-      "bytes": 314861,
-      "rows": 88,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/deepseek-000045-0000-906b6f596ed0e9b0.parquet",
-      "sha256": "906b6f596ed0e9b04df2b6eddd827cedf81a450a8511c4ca3a6b779d9e95be02",
-      "bytes": 40614,
-      "rows": 7,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/deepseek-000045-0000-05e11af6e8d07887.parquet",
-      "sha256": "05e11af6e8d0788792cbc8a117c26cf193e6a1010e0ee5dbe3f8eef124c551f2",
-      "bytes": 59713,
-      "rows": 16,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2266",
     "deepseek:thm_2267",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002297.lean\",\"6e284b33ed455bb614a214a30281c01cb5ba61cd97a28e0a37cfd00ff471d217\",0,\"thm_2313\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002298.lean\",\"4582f8e51a39c39183d3772e2b166173a48cf184872c703573bb572d50914e54\",0,\"thm_2314\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002299.lean\",\"034370867fc3e3d1dc252cd6eee50ad7bf44e1939d69535bfcc65d5d0d721bd9\",0,\"thm_2315\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314861,
+      "path": "data/train/pa5/deepseek-000045-0000-9f28fc18060d7fee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "9f28fc18060d7fee73a898f954188f84d22207e25f2cdbce815e41ca73a851cd"
+    },
+    {
+      "bytes": 40614,
+      "path": "data/dev/pa5/deepseek-000045-0000-906b6f596ed0e9b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "906b6f596ed0e9b04df2b6eddd827cedf81a450a8511c4ca3a6b779d9e95be02"
+    },
+    {
+      "bytes": 59713,
+      "path": "data/internal_test/pa5/deepseek-000045-0000-05e11af6e8d07887.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "05e11af6e8d0788792cbc8a117c26cf193e6a1010e0ee5dbe3f8eef124c551f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000046.json b/manifests/batches/deepseek/000046.json
index de01ead4869ba7c630836ca05acfab41dd7e9a2e..877000698f57b7febbdcb34551b95ffa098044bc 100644
--- a/manifests/batches/deepseek/000046.json
+++ b/manifests/batches/deepseek/000046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000046",
   "batch_fingerprint": "eac551971318491498d757befd50cc46fae54f0a3a7e0c0745f9a6abc16f6504",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000046-0000-3761f4e55ecc5ed2.parquet",
-      "sha256": "3761f4e55ecc5ed2013f0ac40fa59e8789d26e2a683085eb77c7409a3fe44a48",
-      "bytes": 293741,
-      "rows": 97,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/deepseek-000046-0000-ba15263338faf001.parquet",
-      "sha256": "ba15263338faf001e63080e90ea10b6481b703515bbbc89c73871c4f8194465b",
-      "bytes": 46386,
-      "rows": 6,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000046-0000-fc6124c2107d1876.parquet",
-      "sha256": "fc6124c2107d1876cfe04c04289b1d9140dba50d15e1df5b64e2f49341ee3b46",
-      "bytes": 77153,
-      "rows": 22,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2316",
     "deepseek:thm_2317",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002347.lean\",\"1f58cf7d0aa03a76b4a956fefb46b084a45a0ed467e6855b9f13d510daa9ba62\",0,\"thm_2363\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002348.lean\",\"e303a7d91b0b67814f17778eff35a76aa68bd3896708e2ef818f36fce584c6b6\",0,\"thm_2364\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002349.lean\",\"d383d713c7ed13fa2985deb83f1173938869ac13adb5cc59d11b56cfc724deae\",0,\"thm_2365\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293741,
+      "path": "data/train/paf/deepseek-000046-0000-3761f4e55ecc5ed2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "3761f4e55ecc5ed2013f0ac40fa59e8789d26e2a683085eb77c7409a3fe44a48"
+    },
+    {
+      "bytes": 46386,
+      "path": "data/dev/paf/deepseek-000046-0000-ba15263338faf001.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ba15263338faf001e63080e90ea10b6481b703515bbbc89c73871c4f8194465b"
+    },
+    {
+      "bytes": 77153,
+      "path": "data/internal_test/paf/deepseek-000046-0000-fc6124c2107d1876.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "fc6124c2107d1876cfe04c04289b1d9140dba50d15e1df5b64e2f49341ee3b46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000047.json b/manifests/batches/deepseek/000047.json
index 26dcae9ff783ef14e8d7ffc8dbf1a240de9ba31c..494690839e799b25c8cad7244aa4163ae1eb3ae9 100644
--- a/manifests/batches/deepseek/000047.json
+++ b/manifests/batches/deepseek/000047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000047",
   "batch_fingerprint": "d44acf6e2f312b2789c1e51d2fba536a62c788c0087c37f20d7b69d845ae7b97",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000047-0000-996b8aac5e98130d.parquet",
-      "sha256": "996b8aac5e98130d0a6f783f5d0cb18e4435def7ad8c65a21dd211b27d61ad09",
-      "bytes": 350404,
-      "rows": 98,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/deepseek-000047-0000-185441a9b7c92a16.parquet",
-      "sha256": "185441a9b7c92a165f1acc42c584132b96467aabe6b5166d1083f7b0aef3e1e2",
-      "bytes": 30774,
-      "rows": 2,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/deepseek-000047-0000-a5aba7c1b98bc21c.parquet",
-      "sha256": "a5aba7c1b98bc21c88912d76ff6bd2a386899d44e02adccc415a91344593073f",
-      "bytes": 51808,
-      "rows": 9,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2366",
     "deepseek:thm_2367",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002397.lean\",\"78b9ee8e8f3363ddbf6951322a8529b6469d76b2bb3fa42803c4f438a9e3ef42\",0,\"thm_2413\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002398.lean\",\"265b97cd59478b0030cb4330013acfa29d5b63d75bd7a3af2e749378b0a98159\",0,\"thm_2414\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002399.lean\",\"f19bc73def8e226d93c545440166bef61512d0709daccfc275918d4f93ede93b\",0,\"thm_2415\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350404,
+      "path": "data/train/p84/deepseek-000047-0000-996b8aac5e98130d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "996b8aac5e98130d0a6f783f5d0cb18e4435def7ad8c65a21dd211b27d61ad09"
+    },
+    {
+      "bytes": 30774,
+      "path": "data/dev/p84/deepseek-000047-0000-185441a9b7c92a16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "185441a9b7c92a165f1acc42c584132b96467aabe6b5166d1083f7b0aef3e1e2"
+    },
+    {
+      "bytes": 51808,
+      "path": "data/internal_test/p84/deepseek-000047-0000-a5aba7c1b98bc21c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a5aba7c1b98bc21c88912d76ff6bd2a386899d44e02adccc415a91344593073f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000048.json b/manifests/batches/deepseek/000048.json
index 2e2e58ec9890ede323c0f8971184b6c9de7f6928..5651e2842c74ce4fb0527da36ea0aaaaaef85e94 100644
--- a/manifests/batches/deepseek/000048.json
+++ b/manifests/batches/deepseek/000048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000048",
   "batch_fingerprint": "c9d2b639230b826a1760a5a57551b3684314c0123ef5137577a7370a460a0733",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000048-0000-1a763629c2292ebb.parquet",
-      "sha256": "1a763629c2292ebb6fe21f0616ec4a3f84a323ea2e6a3f93cffa92a0a0c99ff1",
-      "bytes": 379973,
-      "rows": 101,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/deepseek-000048-0000-e6f642e7c27fa89f.parquet",
-      "sha256": "e6f642e7c27fa89f8d257b82c73eab3c3adf2a0d5965e9b329fbb48ce064df90",
-      "bytes": 51531,
-      "rows": 7,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/deepseek-000048-0000-7a5ce4b894f76683.parquet",
-      "sha256": "7a5ce4b894f76683f9ccf50434385f87fcb9b72a3d9c1cfd0aacd706f1262aeb",
-      "bytes": 54145,
-      "rows": 10,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2416",
     "deepseek:thm_2417",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002447.lean\",\"682f9e4a629b4a41e037a31ed3fe332c2f671f5e7c6f6598b0a39e8de6f184ef\",0,\"thm_2463\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002448.lean\",\"74c32419d9e1273d184d54d91ef022107759258c5fec8ac825a5d71dc5466628\",0,\"thm_2464\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002449.lean\",\"e3172e4fecb628501c643597c2cab19a70a0dd732aa5e847259d6f392cea4599\",0,\"thm_2465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379973,
+      "path": "data/train/p31/deepseek-000048-0000-1a763629c2292ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "1a763629c2292ebb6fe21f0616ec4a3f84a323ea2e6a3f93cffa92a0a0c99ff1"
+    },
+    {
+      "bytes": 51531,
+      "path": "data/dev/p31/deepseek-000048-0000-e6f642e7c27fa89f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e6f642e7c27fa89f8d257b82c73eab3c3adf2a0d5965e9b329fbb48ce064df90"
+    },
+    {
+      "bytes": 54145,
+      "path": "data/internal_test/p31/deepseek-000048-0000-7a5ce4b894f76683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7a5ce4b894f76683f9ccf50434385f87fcb9b72a3d9c1cfd0aacd706f1262aeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000049.json b/manifests/batches/deepseek/000049.json
index c4d7e912cfffc8057ac73e2903ef1ebc6584c557..b41e8cc302b2c8cbb3e3104c56134e351c376da7 100644
--- a/manifests/batches/deepseek/000049.json
+++ b/manifests/batches/deepseek/000049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000049",
   "batch_fingerprint": "6dc2a7589b507095083f4d1b91dd8d0c2693c961209fcab12de783c17eedd352",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000049-0000-a916e1181efc43f9.parquet",
-      "sha256": "a916e1181efc43f91947ffbd44a69da62b01f794cc91a9a74738614d934b92c4",
-      "bytes": 291632,
-      "rows": 94,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/deepseek-000049-0000-9a5f8d7f35e02e4d.parquet",
-      "sha256": "9a5f8d7f35e02e4d26d040fa1ec5a98fae038743302d1e92a5fc1f23659aac26",
-      "bytes": 35141,
-      "rows": 3,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000049-0000-06c5e672e4930eaf.parquet",
-      "sha256": "06c5e672e4930eafd56855b021b485febd842c5ffa1a8de76175e2b76127ac03",
-      "bytes": 54882,
-      "rows": 12,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2466",
     "deepseek:thm_2467",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002497.lean\",\"52863d08c698d8fcfc6011275893ed76ad790c532af28661765866feae4eac71\",0,\"thm_2513\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002498.lean\",\"7e82340322bcd9108b443e19e51d099196c5abe092653c73d5d5d1963867fe4b\",0,\"thm_2514\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002499.lean\",\"b560ce0a4aeb8822d926d9146e16905f258432f3d2960c4bc12d484011a621a7\",0,\"thm_2515\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291632,
+      "path": "data/train/pda/deepseek-000049-0000-a916e1181efc43f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "a916e1181efc43f91947ffbd44a69da62b01f794cc91a9a74738614d934b92c4"
+    },
+    {
+      "bytes": 35141,
+      "path": "data/dev/pda/deepseek-000049-0000-9a5f8d7f35e02e4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9a5f8d7f35e02e4d26d040fa1ec5a98fae038743302d1e92a5fc1f23659aac26"
+    },
+    {
+      "bytes": 54882,
+      "path": "data/internal_test/pda/deepseek-000049-0000-06c5e672e4930eaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "06c5e672e4930eafd56855b021b485febd842c5ffa1a8de76175e2b76127ac03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000050.json b/manifests/batches/deepseek/000050.json
index 97a6f92ebd0e9c1e76cb52a3638951e1667020e2..1036d90be88f741020215fa9186688636c3850dd 100644
--- a/manifests/batches/deepseek/000050.json
+++ b/manifests/batches/deepseek/000050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000050",
   "batch_fingerprint": "a00ed5c93249f78a8717ad35127c3ce29a8ad4953481ebeee37affaee072e139",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000050-0000-0af003dc32708e8f.parquet",
-      "sha256": "0af003dc32708e8f6c93cd3c0f78a38f8dd22d9ba25299a0dbcf8b611a5c5780",
-      "bytes": 296769,
-      "rows": 85,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/deepseek-000050-0000-cfb855d0ca5fa36a.parquet",
-      "sha256": "cfb855d0ca5fa36a067a948a3a9f2fb7a0710095a0628c8053266f2da419ceed",
-      "bytes": 42588,
-      "rows": 8,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/deepseek-000050-0000-03dbb61c7f81b01d.parquet",
-      "sha256": "03dbb61c7f81b01d4a1f8b519434602336db1d44d06c2c7e85849690e0e1d673",
-      "bytes": 69757,
-      "rows": 17,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2516",
     "deepseek:thm_2517",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002547.lean\",\"678b9a6c498aa696a9cba950b0a15d169b624166c7c27279045bfd9e27871e8a\",0,\"thm_2566\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002548.lean\",\"cfb5023c067594363975c7466c07e92fc5812b05e18d89bfea82c50310b3147a\",0,\"thm_2567\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002549.lean\",\"1eec8890bab8b00d593f213a685ede63e90f3a790da3bc973d4bdb70afe14be1\",0,\"thm_2568\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296769,
+      "path": "data/train/pb5/deepseek-000050-0000-0af003dc32708e8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "0af003dc32708e8f6c93cd3c0f78a38f8dd22d9ba25299a0dbcf8b611a5c5780"
+    },
+    {
+      "bytes": 42588,
+      "path": "data/dev/pb5/deepseek-000050-0000-cfb855d0ca5fa36a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cfb855d0ca5fa36a067a948a3a9f2fb7a0710095a0628c8053266f2da419ceed"
+    },
+    {
+      "bytes": 69757,
+      "path": "data/internal_test/pb5/deepseek-000050-0000-03dbb61c7f81b01d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "03dbb61c7f81b01d4a1f8b519434602336db1d44d06c2c7e85849690e0e1d673"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000051.json b/manifests/batches/deepseek/000051.json
index efd73d496c6fc4ef52d12403c23b42d8ba7827bd..12343176f9defaddbb7d6501a1e26a90fc51aff5 100644
--- a/manifests/batches/deepseek/000051.json
+++ b/manifests/batches/deepseek/000051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000051",
   "batch_fingerprint": "c170957b2d607ec67ffa6b464ebc7cfd6bf1025590e3f368a2966e1d3c7d86be",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000051-0000-a27b04a70dd10450.parquet",
-      "sha256": "a27b04a70dd104507473aecb9510f8088b9ea995a565818c9d036fcb734b0cb8",
-      "bytes": 294159,
-      "rows": 89,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/dev/deepseek-000051-0000-e7d975cfadbfbfe6.parquet",
-      "sha256": "e7d975cfadbfbfe686524532b799b143f23bc0f393422e3c7a9c5194d4589ef1",
-      "bytes": 51130,
-      "rows": 7,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000051-0000-2d5c11d00e2b2f5a.parquet",
-      "sha256": "2d5c11d00e2b2f5aa72cccc4364ddfbfdb34f1d7923f5a1807b368debcc879fd",
-      "bytes": 48673,
-      "rows": 10,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2569",
     "deepseek:thm_2570",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002597.lean\",\"fe045e9231913fc88753010e21bd00e4842ae768db8e99dd725556956cf1cbad\",0,\"thm_2616\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002598.lean\",\"f002ba9e5ed29e09d45d8682f357b7b2abcb193ad0429738faa304de499cffe5\",0,\"thm_2617\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002599.lean\",\"eb34c3eef1af6ea4431455359815676774945165b4f9383b048c4b4832bbd097\",0,\"thm_2618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294159,
+      "path": "data/train/p02/deepseek-000051-0000-a27b04a70dd10450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "a27b04a70dd104507473aecb9510f8088b9ea995a565818c9d036fcb734b0cb8"
+    },
+    {
+      "bytes": 51130,
+      "path": "data/dev/p02/deepseek-000051-0000-e7d975cfadbfbfe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e7d975cfadbfbfe686524532b799b143f23bc0f393422e3c7a9c5194d4589ef1"
+    },
+    {
+      "bytes": 48673,
+      "path": "data/internal_test/p02/deepseek-000051-0000-2d5c11d00e2b2f5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2d5c11d00e2b2f5aa72cccc4364ddfbfdb34f1d7923f5a1807b368debcc879fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000052.json b/manifests/batches/deepseek/000052.json
index 58796c549e57a9a64a8ad4103a142ee1ebac333b..9d5ecd8a327bf4789f989db24756f73215294574 100644
--- a/manifests/batches/deepseek/000052.json
+++ b/manifests/batches/deepseek/000052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000052",
   "batch_fingerprint": "a332a3fb239adc354d18201fcd7bded13913dec48d08033e124fb5353c37054d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000052-0000-01a0f1a359121b73.parquet",
-      "sha256": "01a0f1a359121b73b82be0717f0621c9f0096b91a9af17b448413420c5f3d8ff",
-      "bytes": 350994,
-      "rows": 118,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/deepseek-000052-0000-8f208c1308a65158.parquet",
-      "sha256": "8f208c1308a65158e819e278582fd2d68998554c4b3b7d3bfe62a081d3a0eb11",
-      "bytes": 36702,
-      "rows": 3,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000052-0000-df071c64fc732688.parquet",
-      "sha256": "df071c64fc73268857ea44532dd5f02a272f34df4a01904e202ce2f9cbe1b7c3",
-      "bytes": 50922,
-      "rows": 3,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2619",
     "deepseek:thm_2620",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002647.lean\",\"795188927ee23417ab25fc170c7ea70d0c57e774f8ec48ee5a5b2662b8cec332\",0,\"thm_2666\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002648.lean\",\"582399162eb419e68c182c7149667ac78e6d72b5f34b7f5bff840f565dcdb08f\",0,\"thm_2667\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002649.lean\",\"3f6bcfde5839719b7e035d577b3d079acd5ca0f8e22c543787b8f31451610434\",0,\"thm_2668\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350994,
+      "path": "data/train/p0b/deepseek-000052-0000-01a0f1a359121b73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 118,
+      "sha256": "01a0f1a359121b73b82be0717f0621c9f0096b91a9af17b448413420c5f3d8ff"
+    },
+    {
+      "bytes": 36702,
+      "path": "data/dev/p0b/deepseek-000052-0000-8f208c1308a65158.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8f208c1308a65158e819e278582fd2d68998554c4b3b7d3bfe62a081d3a0eb11"
+    },
+    {
+      "bytes": 50922,
+      "path": "data/internal_test/p0b/deepseek-000052-0000-df071c64fc732688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "df071c64fc73268857ea44532dd5f02a272f34df4a01904e202ce2f9cbe1b7c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000053.json b/manifests/batches/deepseek/000053.json
index 1235eb7c0ce7457ce7a019b0f3e10248f5e1e40c..93c76ef74353d61479f2d29d0bd1de68b25e7247 100644
--- a/manifests/batches/deepseek/000053.json
+++ b/manifests/batches/deepseek/000053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000053",
   "batch_fingerprint": "432b55a67f44e8a206d7d10e828889527ba3bffcb430bff98dbf87bf6f18e388",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000053-0000-3bb0bac4600e38c5.parquet",
-      "sha256": "3bb0bac4600e38c5d5fc52ff4275f8275a341ed5bd73f9681d892deca128dbff",
-      "bytes": 313366,
-      "rows": 100,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000053-0000-54a60f386eef82ec.parquet",
-      "sha256": "54a60f386eef82eca097dc31d798017d9da673f9bdbcadb2c7c4700276a2d847",
-      "bytes": 58027,
-      "rows": 15,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2669",
     "deepseek:thm_2670",
@@ -171,5 +155,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002696.lean\",\"939ff2937345fc8e80f7365fed51c776a98d2d4f972dbea8e8cc58bcc02a5f18\",0,\"thm_2715\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002698.lean\",\"2c46cd2557ceb49e3c496ecde4ab25f6e3095f322688634a7ad8730e0a655f1c\",0,\"thm_2717\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002699.lean\",\"273a65bd81af0f00a721134fc09c6ea2d8d39ce76356cd3423d148f74a2bdebe\",0,\"thm_2718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313366,
+      "path": "data/train/p76/deepseek-000053-0000-3bb0bac4600e38c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "3bb0bac4600e38c5d5fc52ff4275f8275a341ed5bd73f9681d892deca128dbff"
+    },
+    {
+      "bytes": 58027,
+      "path": "data/internal_test/p76/deepseek-000053-0000-54a60f386eef82ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "54a60f386eef82eca097dc31d798017d9da673f9bdbcadb2c7c4700276a2d847"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000054.json b/manifests/batches/deepseek/000054.json
index e68c8a0f1f2bd85af30816f890302b822468a5c5..5bb9274f3be56d7a47532b46159656749e27f49f 100644
--- a/manifests/batches/deepseek/000054.json
+++ b/manifests/batches/deepseek/000054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000054",
   "batch_fingerprint": "7e1fad6491b0b07363e32841da9fd7fa2e56b077d0a173d300924269ae8387a7",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000054-0000-b229620a45e932bb.parquet",
-      "sha256": "b229620a45e932bb0a6374795591218e060c6cdff10c2c2446686b7b84209bb4",
-      "bytes": 315740,
-      "rows": 98,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/dev/deepseek-000054-0000-b03764859d5a1fcf.parquet",
-      "sha256": "b03764859d5a1fcf50e0a300bc20ccca78863dface7d253bc06b8f340226b235",
-      "bytes": 36457,
-      "rows": 4,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000054-0000-249838b521524552.parquet",
-      "sha256": "249838b521524552dea651dc886b3e7f9ca776fd7c39959b5601ad6ba06fc45b",
-      "bytes": 73340,
-      "rows": 15,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2720",
     "deepseek:thm_2721",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002747.lean\",\"8a91a00b7392348a7c640a907f62b4a7b9a500b30a990cd44eaa2ff5c5e484c3\",0,\"thm_2766\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002748.lean\",\"9491f5868d626f704c644ff8bb563166fadfd935735ff1e62f1e5adb5280fc44\",0,\"thm_2767\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002749.lean\",\"f4b1f6a20fff5908f8d7f1a1dfbdc7051fd9b454ebaee2c4ae954f6685210e20\",0,\"thm_2768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315740,
+      "path": "data/train/pdd/deepseek-000054-0000-b229620a45e932bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "b229620a45e932bb0a6374795591218e060c6cdff10c2c2446686b7b84209bb4"
+    },
+    {
+      "bytes": 36457,
+      "path": "data/dev/pdd/deepseek-000054-0000-b03764859d5a1fcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b03764859d5a1fcf50e0a300bc20ccca78863dface7d253bc06b8f340226b235"
+    },
+    {
+      "bytes": 73340,
+      "path": "data/internal_test/pdd/deepseek-000054-0000-249838b521524552.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "249838b521524552dea651dc886b3e7f9ca776fd7c39959b5601ad6ba06fc45b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000055.json b/manifests/batches/deepseek/000055.json
index d85fe6c9f65b5376151ddebb39c792a3628ce564..d7d34a5faa81198491cd07b971982478e0d36c04 100644
--- a/manifests/batches/deepseek/000055.json
+++ b/manifests/batches/deepseek/000055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000055",
   "batch_fingerprint": "4e63f95fc829489f549ca0c4a40d82dc061e7a1981c824948d3d7d50a91813e7",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000055-0000-b7898f17a139eb23.parquet",
-      "sha256": "b7898f17a139eb23407600b17b38259b94d8ff92f47b6b779afa440f19dc77ec",
-      "bytes": 321499,
-      "rows": 96,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/deepseek-000055-0000-89cd3da23a01c031.parquet",
-      "sha256": "89cd3da23a01c031d174ce140efa41f9e5ac73cd9a34a290239d5785c1d588e8",
-      "bytes": 52287,
-      "rows": 7,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000055-0000-ba0d7511f1758238.parquet",
-      "sha256": "ba0d7511f17582383f6e3dfb08ace1201e6420d9f82b9c39496a612ca6ff791d",
-      "bytes": 41813,
-      "rows": 12,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2769",
     "deepseek:thm_2770",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002797.lean\",\"0cd3adef348dc8a97debab59164cb79898edadf7738459ad604a8073c649f068\",0,\"thm_2816\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002798.lean\",\"eb996ddab8555e7569b5ea1b910db14150ca77ca9326375b5ca423df6fa359d5\",0,\"thm_2817\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002799.lean\",\"81bb62993210b55ddcde7d1de12a5a41df8915b2ce77679a28d042e28bf65338\",0,\"thm_2818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321499,
+      "path": "data/train/p05/deepseek-000055-0000-b7898f17a139eb23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "b7898f17a139eb23407600b17b38259b94d8ff92f47b6b779afa440f19dc77ec"
+    },
+    {
+      "bytes": 52287,
+      "path": "data/dev/p05/deepseek-000055-0000-89cd3da23a01c031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "89cd3da23a01c031d174ce140efa41f9e5ac73cd9a34a290239d5785c1d588e8"
+    },
+    {
+      "bytes": 41813,
+      "path": "data/internal_test/p05/deepseek-000055-0000-ba0d7511f1758238.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ba0d7511f17582383f6e3dfb08ace1201e6420d9f82b9c39496a612ca6ff791d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000056.json b/manifests/batches/deepseek/000056.json
index 84a6bcbea49947a836109501f980b460667f7e14..93fba60142c18e44f6b9971488a58e0618a3870e 100644
--- a/manifests/batches/deepseek/000056.json
+++ b/manifests/batches/deepseek/000056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000056",
   "batch_fingerprint": "3591ad0e5d96fe5c4f78c63250ed7f30b7ff1cfceaf0fe5f79849cfc9b4da2ae",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000056-0000-2a0f40317a6cf749.parquet",
-      "sha256": "2a0f40317a6cf749dedb0b16433f2d8582db1f6d595b336e30f8e16b8441c835",
-      "bytes": 316550,
-      "rows": 97,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/dev/deepseek-000056-0000-7cae8376d1f4e945.parquet",
-      "sha256": "7cae8376d1f4e945a2b1636433c01eafae24a11aaf63f51e7b82ce011ce13b44",
-      "bytes": 43614,
-      "rows": 8,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000056-0000-90360e0549a83cc7.parquet",
-      "sha256": "90360e0549a83cc758c611bb1e734d8db5c45aefc2c239e5d9a42304b9d1f08f",
-      "bytes": 52434,
-      "rows": 13,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2819",
     "deepseek:thm_2820",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002847.lean\",\"149affc33ecde4a0d98e52d865dfdc1948810e24aaa23950d3aa3022bb837fdc\",0,\"thm_2866\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002848.lean\",\"9f26bf3b392e92f5b39a24b7103035b9e31762034b01b4a1717150697431a17c\",0,\"thm_2867\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002849.lean\",\"9004dd534d648a3832e4ce0e7925061562381e60bb02246df0bed0cec56b0014\",0,\"thm_2868\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316550,
+      "path": "data/train/pf4/deepseek-000056-0000-2a0f40317a6cf749.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "2a0f40317a6cf749dedb0b16433f2d8582db1f6d595b336e30f8e16b8441c835"
+    },
+    {
+      "bytes": 43614,
+      "path": "data/dev/pf4/deepseek-000056-0000-7cae8376d1f4e945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7cae8376d1f4e945a2b1636433c01eafae24a11aaf63f51e7b82ce011ce13b44"
+    },
+    {
+      "bytes": 52434,
+      "path": "data/internal_test/pf4/deepseek-000056-0000-90360e0549a83cc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "90360e0549a83cc758c611bb1e734d8db5c45aefc2c239e5d9a42304b9d1f08f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000057.json b/manifests/batches/deepseek/000057.json
index cc0ab0414167395964ccf20f8c487ed864f2cbab..8af51a4a88026fd7e7e77a06e3975043eae1e5b6 100644
--- a/manifests/batches/deepseek/000057.json
+++ b/manifests/batches/deepseek/000057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000057",
   "batch_fingerprint": "4df5ad52cd5c4fabbfbb888a4ccbe750cc8b703df3e65a36d2d36e8bd498e58d",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000057-0000-106b15cc0fa57bcb.parquet",
-      "sha256": "106b15cc0fa57bcbafef7ec0b894874da2d6bb2b56237df55dd8873d3c876fa5",
-      "bytes": 340254,
-      "rows": 99,
-      "revision": "79e3f99a9f4fce49638874104f5ee1a8b04d58c8"
-    },
-    {
-      "path": "data/dev/deepseek-000057-0000-b84db42016f72343.parquet",
-      "sha256": "b84db42016f723432248e4d6b60a33e52b37e8312d60c9d382356b155b134871",
-      "bytes": 52364,
-      "rows": 9,
-      "revision": "79e3f99a9f4fce49638874104f5ee1a8b04d58c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000057-0000-53325266e156f6a8.parquet",
-      "sha256": "53325266e156f6a84cbb033fd2a2e39d112827302a607e250cb7f99bdccf6926",
-      "bytes": 45499,
-      "rows": 4,
-      "revision": "79e3f99a9f4fce49638874104f5ee1a8b04d58c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2869",
     "deepseek:thm_2870",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002897.lean\",\"fc51c36bfe0ee5e58c410a3c809760dfe06b205d0b6e13ea016372c9a50e6b71\",0,\"thm_2916\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002898.lean\",\"8ebb4bc4c43472549c85f1c8d2497535152f4a899d08236adffc24a98b87ee6c\",0,\"thm_2917\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002899.lean\",\"9963f8917a22de11c609fea79285cba2e14e3c91be1d9e9126b7760a27201a98\",0,\"thm_2918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340254,
+      "path": "data/train/pa8/deepseek-000057-0000-106b15cc0fa57bcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "106b15cc0fa57bcbafef7ec0b894874da2d6bb2b56237df55dd8873d3c876fa5"
+    },
+    {
+      "bytes": 52364,
+      "path": "data/dev/pa8/deepseek-000057-0000-b84db42016f72343.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b84db42016f723432248e4d6b60a33e52b37e8312d60c9d382356b155b134871"
+    },
+    {
+      "bytes": 45499,
+      "path": "data/internal_test/pa8/deepseek-000057-0000-53325266e156f6a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "53325266e156f6a84cbb033fd2a2e39d112827302a607e250cb7f99bdccf6926"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000058.json b/manifests/batches/deepseek/000058.json
index f4bc49eeac19ae99bdd08ce61284a5d96889d3a3..79a5286639edd4a5546ddbf051125d01437c71a9 100644
--- a/manifests/batches/deepseek/000058.json
+++ b/manifests/batches/deepseek/000058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000058",
   "batch_fingerprint": "373c0b88a9cbd28444c209808885d8aa5d95134f9e235563bda487fe3e5bdfdf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000058-0000-7895466189cfe6d7.parquet",
-      "sha256": "7895466189cfe6d7d281da5c4c62bd9c298e090e776fe8d99a57339637203a2e",
-      "bytes": 318749,
-      "rows": 98,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000058-0000-cbe5103b222da76c.parquet",
-      "sha256": "cbe5103b222da76c7fa92df597d94363a53bbab15dff2adc5e9c3239b0f10788",
-      "bytes": 85871,
-      "rows": 25,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2919",
     "deepseek:thm_2920",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002947.lean\",\"b2fefc123bfcfbba05629ebeb0eeeea65e49fdd5eeba0ce9dba1b0d80244cf8e\",0,\"thm_2966\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002948.lean\",\"30a73790ca8cafd4792912458264dc0041ab4a0459a0238763e084c2c6ea5a46\",0,\"thm_2967\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002949.lean\",\"df409133bfd8b766328369e5ea936cad1a21a1bb51f23974ffc726f801cbfb6d\",0,\"thm_2968\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318749,
+      "path": "data/train/pb0/deepseek-000058-0000-7895466189cfe6d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "7895466189cfe6d7d281da5c4c62bd9c298e090e776fe8d99a57339637203a2e"
+    },
+    {
+      "bytes": 85871,
+      "path": "data/internal_test/pb0/deepseek-000058-0000-cbe5103b222da76c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cbe5103b222da76c7fa92df597d94363a53bbab15dff2adc5e9c3239b0f10788"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000059.json b/manifests/batches/deepseek/000059.json
index 429628cb64870d2a7df96d2f96813feea6b488f5..f76607fc9ad23f29535673e0dca994cdcdf3347f 100644
--- a/manifests/batches/deepseek/000059.json
+++ b/manifests/batches/deepseek/000059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000059",
   "batch_fingerprint": "48b5de2e33348d1a70360ac1155d682b2b5844bdaa351ca344cd8b1c70ade46c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000059-0000-0b23755c8e88b045.parquet",
-      "sha256": "0b23755c8e88b045ede15fc482ee5e03eb2c354d09906a7c75db2f7102cb73f8",
-      "bytes": 333135,
-      "rows": 104,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/deepseek-000059-0000-8cd31113ec1768ca.parquet",
-      "sha256": "8cd31113ec1768ca9b40c0fd581a61637d799c4e0367d37cf9ba8f4bb00b8934",
-      "bytes": 41899,
-      "rows": 8,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000059-0000-e4f8cf285c8ab891.parquet",
-      "sha256": "e4f8cf285c8ab8910b6ec9f9acc530fbbba4ba0173961c8e2eb5833836df956a",
-      "bytes": 35757,
-      "rows": 5,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_2969",
     "deepseek:thm_2970",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002997.lean\",\"3629fbacebfd5a0ee5ff781b4b1a155910e03e62af62f497a908d1156f71959a\",0,\"thm_3016\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002998.lean\",\"5f020331c0447535d56eb88e368baf61501bcb6e17a388025b3f2530e15abae9\",0,\"thm_3017\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_002999.lean\",\"56c8cf0ce310cc2750579e37381c900300569ea6cc52e4d1b1e5efd96687b694\",0,\"thm_3018\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333135,
+      "path": "data/train/pef/deepseek-000059-0000-0b23755c8e88b045.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "0b23755c8e88b045ede15fc482ee5e03eb2c354d09906a7c75db2f7102cb73f8"
+    },
+    {
+      "bytes": 41899,
+      "path": "data/dev/pef/deepseek-000059-0000-8cd31113ec1768ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8cd31113ec1768ca9b40c0fd581a61637d799c4e0367d37cf9ba8f4bb00b8934"
+    },
+    {
+      "bytes": 35757,
+      "path": "data/internal_test/pef/deepseek-000059-0000-e4f8cf285c8ab891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e4f8cf285c8ab8910b6ec9f9acc530fbbba4ba0173961c8e2eb5833836df956a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000060.json b/manifests/batches/deepseek/000060.json
index 6a7f742fb6462a396cb47852bfbc75ec07d6b892..45c9215af095889d5f02f85d82c3d0161590f96a 100644
--- a/manifests/batches/deepseek/000060.json
+++ b/manifests/batches/deepseek/000060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000060",
   "batch_fingerprint": "597c4ce6410e310bf501302958df02db20932c58ee54704aa9e70c0a1a8eda2b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000060-0000-f639638951ffa083.parquet",
-      "sha256": "f639638951ffa083af933990367b68f5b4e0495b5cf24a50c3342dcc3ec89c84",
-      "bytes": 357620,
-      "rows": 110,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/dev/deepseek-000060-0000-a5a619549a11e716.parquet",
-      "sha256": "a5a619549a11e716734088baff01ae24e4016268ef555ffc49509416a41fc9d0",
-      "bytes": 27815,
-      "rows": 2,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/internal_test/deepseek-000060-0000-51236276d4c6537b.parquet",
-      "sha256": "51236276d4c6537bf4e0db99a87706956e80f73ead017ca72dbd34515072dd03",
-      "bytes": 38304,
-      "rows": 4,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3019",
     "deepseek:thm_3020",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003047.lean\",\"30b3ab440ddc02060be38ff886be5e5267bfab5735c39fc92f9f550a92e2647b\",0,\"thm_3066\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003048.lean\",\"b85fbc0574f28bd9bbe07f7cea671661ea34f617accacb54ffc98cf2ec77ce86\",0,\"thm_3067\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003049.lean\",\"a228fec709613aebc6aa6d19b1b3421be20717d100f5b57dbef96c178d260b88\",0,\"thm_3068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357620,
+      "path": "data/train/pdc/deepseek-000060-0000-f639638951ffa083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "f639638951ffa083af933990367b68f5b4e0495b5cf24a50c3342dcc3ec89c84"
+    },
+    {
+      "bytes": 27815,
+      "path": "data/dev/pdc/deepseek-000060-0000-a5a619549a11e716.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a5a619549a11e716734088baff01ae24e4016268ef555ffc49509416a41fc9d0"
+    },
+    {
+      "bytes": 38304,
+      "path": "data/internal_test/pdc/deepseek-000060-0000-51236276d4c6537b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "51236276d4c6537bf4e0db99a87706956e80f73ead017ca72dbd34515072dd03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000061.json b/manifests/batches/deepseek/000061.json
index b8ad2bf4ecf900848b76852f005bf45cdd8ff86b..b271dd5d6625b1398f8e8e323480ec7cd3a32f8a 100644
--- a/manifests/batches/deepseek/000061.json
+++ b/manifests/batches/deepseek/000061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000061",
   "batch_fingerprint": "81ed3c839ea1c6fadcb5f7056bd268e306c1c9ced6550cac6b019240b94da524",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000061-0000-35837b7ec2fe425b.parquet",
-      "sha256": "35837b7ec2fe425bfa2743ceff121acb440575f22da30ca2a94273400e7ba7ff",
-      "bytes": 332629,
-      "rows": 102,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/dev/deepseek-000061-0000-a76900cc7e5b83a5.parquet",
-      "sha256": "a76900cc7e5b83a5561b9a3812f033cc5388de9a157bf94d3f909e4a6c309a0c",
-      "bytes": 33179,
-      "rows": 5,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/internal_test/deepseek-000061-0000-d016397eff09324e.parquet",
-      "sha256": "d016397eff09324eaa29a32c64511ea446bec11fd63c3cfedf5fdfbca61c2ccb",
-      "bytes": 57745,
-      "rows": 16,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3069",
     "deepseek:thm_3070",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003097.lean\",\"82e5f581244c0f66635fa45f9c3eb87cc95566b67209173bef5fd6295cc8ce89\",0,\"thm_3116\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003098.lean\",\"971a82f9f63814df02d90178cd0a83d168e00c85d148adf85eb7eb2e317eb2c6\",0,\"thm_3117\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003099.lean\",\"f0fca5761e61c802c83ec2438b20ce51c33e68ba7ffae3c74103a46fc28b371e\",0,\"thm_3118\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332629,
+      "path": "data/train/p6c/deepseek-000061-0000-35837b7ec2fe425b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "35837b7ec2fe425bfa2743ceff121acb440575f22da30ca2a94273400e7ba7ff"
+    },
+    {
+      "bytes": 33179,
+      "path": "data/dev/p6c/deepseek-000061-0000-a76900cc7e5b83a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a76900cc7e5b83a5561b9a3812f033cc5388de9a157bf94d3f909e4a6c309a0c"
+    },
+    {
+      "bytes": 57745,
+      "path": "data/internal_test/p6c/deepseek-000061-0000-d016397eff09324e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d016397eff09324eaa29a32c64511ea446bec11fd63c3cfedf5fdfbca61c2ccb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000062.json b/manifests/batches/deepseek/000062.json
index 26f3c53c7e847002880e1ded6ec61767252efcc6..0ea6f74cf5509ecd070c46b99147714d99a42c8f 100644
--- a/manifests/batches/deepseek/000062.json
+++ b/manifests/batches/deepseek/000062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000062",
   "batch_fingerprint": "518a258374337659ed1abe237d1d12e478b778ca3f950c132f94ec75d99f02b9",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000062-0000-8ed31c88e1a8d6df.parquet",
-      "sha256": "8ed31c88e1a8d6df58368f70a0331f49fab69b846d2b70d58793b0bc7c1e21dc",
-      "bytes": 358428,
-      "rows": 103,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/dev/deepseek-000062-0000-38ce66422bc8e2b0.parquet",
-      "sha256": "38ce66422bc8e2b0488d7ed30c89f3924666adb942fc6f969817e6eb48aff647",
-      "bytes": 29885,
-      "rows": 2,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/internal_test/deepseek-000062-0000-dc92617b651cef60.parquet",
-      "sha256": "dc92617b651cef60b0108c91eb40108110b2b350cebd010d71c9b314f5fc8b16",
-      "bytes": 49110,
-      "rows": 12,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3119",
     "deepseek:thm_3120",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003147.lean\",\"a1ce403322ecb03386c2fdbfcfc4ee8721ee98beb634dd063d517a8b02ed310f\",0,\"thm_3166\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003148.lean\",\"162c1e66899ce6894aaf12d9b395759dc1af9fc46d7d0b81507fce2c9a77a963\",0,\"thm_3167\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003149.lean\",\"8206e1880d5d06289873181b20d27bfae28d59ca52e9a1dec71c3af0fe15e613\",0,\"thm_3168\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358428,
+      "path": "data/train/p56/deepseek-000062-0000-8ed31c88e1a8d6df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "8ed31c88e1a8d6df58368f70a0331f49fab69b846d2b70d58793b0bc7c1e21dc"
+    },
+    {
+      "bytes": 29885,
+      "path": "data/dev/p56/deepseek-000062-0000-38ce66422bc8e2b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "38ce66422bc8e2b0488d7ed30c89f3924666adb942fc6f969817e6eb48aff647"
+    },
+    {
+      "bytes": 49110,
+      "path": "data/internal_test/p56/deepseek-000062-0000-dc92617b651cef60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "dc92617b651cef60b0108c91eb40108110b2b350cebd010d71c9b314f5fc8b16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000063.json b/manifests/batches/deepseek/000063.json
index b20e8bee357a4558b08cc37227268089fea0456b..e33dd003bd8e2bd91f7dc7adebad1ed22d04e6d4 100644
--- a/manifests/batches/deepseek/000063.json
+++ b/manifests/batches/deepseek/000063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000063",
   "batch_fingerprint": "30e18c21c1096f210496086b2daa4945513e486f36b4237895519869c0fc5ed7",
   "evidence": {
@@ -75,29 +74,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000063-0000-64dde191a28b9c92.parquet",
-      "sha256": "64dde191a28b9c925b0428dc30412acf96f15009465e1759e24181d14d5194e8",
-      "bytes": 367420,
-      "rows": 99,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    },
-    {
-      "path": "data/dev/deepseek-000063-0000-796a406b1b89ef2e.parquet",
-      "sha256": "796a406b1b89ef2ef020690f2de347a908dba5a99e288d066b0660d17d9d3358",
-      "bytes": 57423,
-      "rows": 12,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000063-0000-bd076dbaecdd6628.parquet",
-      "sha256": "bd076dbaecdd6628e8fc2f402d6b9a2c53bc1d2cd573097cbc6598456e23d48f",
-      "bytes": 47507,
-      "rows": 7,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3169",
     "deepseek:thm_3170",
@@ -195,5 +172,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003197.lean\",\"88fa9207510af537d82653cf6ab7afb2b832c8842bdccf8cd962b334d80976d4\",0,\"thm_3216\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003198.lean\",\"84e0120685831367178c997e2953c3fe7e8fdb6a700b98e33cc4f0ef790e4463\",0,\"thm_3217\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003199.lean\",\"90b0b122a62cc09921a6bf11ae3af817b4b9813f7d94f1117a9a9611293d2219\",0,\"thm_3218\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367420,
+      "path": "data/train/p55/deepseek-000063-0000-64dde191a28b9c92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "64dde191a28b9c925b0428dc30412acf96f15009465e1759e24181d14d5194e8"
+    },
+    {
+      "bytes": 57423,
+      "path": "data/dev/p55/deepseek-000063-0000-796a406b1b89ef2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "796a406b1b89ef2ef020690f2de347a908dba5a99e288d066b0660d17d9d3358"
+    },
+    {
+      "bytes": 47507,
+      "path": "data/internal_test/p55/deepseek-000063-0000-bd076dbaecdd6628.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bd076dbaecdd6628e8fc2f402d6b9a2c53bc1d2cd573097cbc6598456e23d48f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000064.json b/manifests/batches/deepseek/000064.json
index 0fca73a831cf1806dc625e9be350cf61d0f56050..d417275a62480b3a41cbab06eea47275e9c81bb1 100644
--- a/manifests/batches/deepseek/000064.json
+++ b/manifests/batches/deepseek/000064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000064",
   "batch_fingerprint": "72c6ce1dfadafc636ec0c52d92679be5d2e890ae9d1aec915425dd12e8af10ca",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000064-0000-9532c750c3fb0a6e.parquet",
-      "sha256": "9532c750c3fb0a6e1f3a812fe5b6f837a61a3fa23a398388c39a08dace12221c",
-      "bytes": 308927,
-      "rows": 94,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    },
-    {
-      "path": "data/dev/deepseek-000064-0000-11260e0570afed70.parquet",
-      "sha256": "11260e0570afed709bbfdd357e03a4820735e520ce87f05d34614570c40db2a5",
-      "bytes": 36551,
-      "rows": 5,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000064-0000-18706a7c0764095d.parquet",
-      "sha256": "18706a7c0764095d29aa585b61087fded28f82d730de4a2ff77d95ee99597255",
-      "bytes": 56302,
-      "rows": 15,
-      "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3219",
     "deepseek:thm_3220",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003246.lean\",\"36d3d99b9b10b76185cbaa6ba9ebd41fe7610520c2ef5df6ad6e9a6899541c3e\",0,\"thm_3266\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003247.lean\",\"20156ea05f1be437ac896859a8f2d3f974b745a3d9065bdad239f11e4c352e86\",0,\"thm_3267\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003249.lean\",\"7088a19e506d80d0ca3ed322688b5089c5198759801e032e3fc3c26efb7b88ca\",0,\"thm_3269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308927,
+      "path": "data/train/p8c/deepseek-000064-0000-9532c750c3fb0a6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "9532c750c3fb0a6e1f3a812fe5b6f837a61a3fa23a398388c39a08dace12221c"
+    },
+    {
+      "bytes": 36551,
+      "path": "data/dev/p8c/deepseek-000064-0000-11260e0570afed70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "11260e0570afed709bbfdd357e03a4820735e520ce87f05d34614570c40db2a5"
+    },
+    {
+      "bytes": 56302,
+      "path": "data/internal_test/p8c/deepseek-000064-0000-18706a7c0764095d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "18706a7c0764095d29aa585b61087fded28f82d730de4a2ff77d95ee99597255"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000065.json b/manifests/batches/deepseek/000065.json
index adbf96de39c5b721c9e1086f8e30f1584ad79528..fb1fe6629b7ae38fcd49ee482cd143263f61b4d6 100644
--- a/manifests/batches/deepseek/000065.json
+++ b/manifests/batches/deepseek/000065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000065",
   "batch_fingerprint": "edd7001f8fd004b4d823e17c7db996ce278f555dd64de54fa2aaf73e48d4702f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000065-0000-1a20f0275c2b0120.parquet",
-      "sha256": "1a20f0275c2b01206abbc61877fd2def9dca6c8884ca96c6e3ff73519ba7ad4e",
-      "bytes": 332448,
-      "rows": 97,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/dev/deepseek-000065-0000-8f8e38ee633e32c2.parquet",
-      "sha256": "8f8e38ee633e32c22b1c0345abe5002bccfb8c189b13941f4639f2de6bb277e2",
-      "bytes": 42028,
-      "rows": 4,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/internal_test/deepseek-000065-0000-8dc936b372176162.parquet",
-      "sha256": "8dc936b3721761628a4fbc128f9034b714bc286cd70e4674f3440801f029c580",
-      "bytes": 47886,
-      "rows": 12,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3270",
     "deepseek:thm_3271",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003297.lean\",\"f3c2346ccc77a735d5851d642acc84b94a1f65c97f6c9a02c9a9bea6504595e9\",0,\"thm_3317\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003298.lean\",\"85ece58e0fa17281e8afc41ef53eff23da8a381ec8edee7412650b74c18620de\",0,\"thm_3318\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003299.lean\",\"7bde5e115d6febefe40033499cafebc54bcaa42b74baa5a65c41349dcc2693c4\",0,\"thm_3319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332448,
+      "path": "data/train/pde/deepseek-000065-0000-1a20f0275c2b0120.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "1a20f0275c2b01206abbc61877fd2def9dca6c8884ca96c6e3ff73519ba7ad4e"
+    },
+    {
+      "bytes": 42028,
+      "path": "data/dev/pde/deepseek-000065-0000-8f8e38ee633e32c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8f8e38ee633e32c22b1c0345abe5002bccfb8c189b13941f4639f2de6bb277e2"
+    },
+    {
+      "bytes": 47886,
+      "path": "data/internal_test/pde/deepseek-000065-0000-8dc936b372176162.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8dc936b3721761628a4fbc128f9034b714bc286cd70e4674f3440801f029c580"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000066.json b/manifests/batches/deepseek/000066.json
index a374532d98a6cf6061526ddc746f6f6bffebc889..36d50dc5ff10e985860308afbec6ae52d1a2453e 100644
--- a/manifests/batches/deepseek/000066.json
+++ b/manifests/batches/deepseek/000066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000066",
   "batch_fingerprint": "c8b0084d284e6e6546c011c1f52dccf16a636f18e399848229907779e9bf79b5",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000066-0000-f4b2d7c8834ad86e.parquet",
-      "sha256": "f4b2d7c8834ad86e8131cdb8c1fb743b46e26ec756e434aeeb3bfd2a158097e8",
-      "bytes": 341360,
-      "rows": 103,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/dev/deepseek-000066-0000-7ea60e145e6a0394.parquet",
-      "sha256": "7ea60e145e6a0394fd06324b70f1021be3aefc0f48f9ca4d750d9f0bfa9835de",
-      "bytes": 32841,
-      "rows": 2,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/internal_test/deepseek-000066-0000-22fff88e5caed2e3.parquet",
-      "sha256": "22fff88e5caed2e3429092396ae5335ecc072b9834b1df745cca025e5adcd7b8",
-      "bytes": 58496,
-      "rows": 10,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3320",
     "deepseek:thm_3321",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003347.lean\",\"ad6378099aacc9659fd413badeb1f1abd6ea5bfc9f25f2178add5da66ab6b4d7\",0,\"thm_3367\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003348.lean\",\"f4d3e0dcb31a9bcb0a65496974f5de7a25f8892e753ec95d1eb601d0c7f375c2\",0,\"thm_3368\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003349.lean\",\"24c692e973020600ffa487247b9ae91b2ff47276b4d6e1881f30423e42761ff0\",0,\"thm_3369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341360,
+      "path": "data/train/p36/deepseek-000066-0000-f4b2d7c8834ad86e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "f4b2d7c8834ad86e8131cdb8c1fb743b46e26ec756e434aeeb3bfd2a158097e8"
+    },
+    {
+      "bytes": 32841,
+      "path": "data/dev/p36/deepseek-000066-0000-7ea60e145e6a0394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7ea60e145e6a0394fd06324b70f1021be3aefc0f48f9ca4d750d9f0bfa9835de"
+    },
+    {
+      "bytes": 58496,
+      "path": "data/internal_test/p36/deepseek-000066-0000-22fff88e5caed2e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "22fff88e5caed2e3429092396ae5335ecc072b9834b1df745cca025e5adcd7b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000067.json b/manifests/batches/deepseek/000067.json
index 5ff4d3bf7155788a2b4025e612ee5c3a67c743b6..fbe7723a3d58ac3647b03d08e8e59b64715cd512 100644
--- a/manifests/batches/deepseek/000067.json
+++ b/manifests/batches/deepseek/000067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000067",
   "batch_fingerprint": "7cecbd63bfd7230787dd764f2511661be4f75b8a51e4ff840984ae2d1885760d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000067-0000-9c41997dbc44babf.parquet",
-      "sha256": "9c41997dbc44babf72866d00609832b8b2c53bd293082d107d8bab58460c64d9",
-      "bytes": 358482,
-      "rows": 114,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/dev/deepseek-000067-0000-2c614715b640d550.parquet",
-      "sha256": "2c614715b640d55045a1366f7cc8af77fa6733b4c8c4fa18d100167b92cdfcb7",
-      "bytes": 51318,
-      "rows": 5,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/internal_test/deepseek-000067-0000-2384d24c6ed9b85c.parquet",
-      "sha256": "2384d24c6ed9b85c14d3b9f6b6d1485826aad2d316f450ffab07ead0cc82396e",
-      "bytes": 38843,
-      "rows": 5,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3370",
     "deepseek:thm_3371",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003397.lean\",\"75cdfcd49888983c218d90fa9de34398531172dbb106cbbee350dd4c075c0065\",0,\"thm_3418\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003398.lean\",\"c4eaf6ed074ca84d9986e61a90e098bd2978e05a68566f95a8f03292293efd7a\",0,\"thm_3419\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003399.lean\",\"9be40b2a072f3978a826324c6264267cbbeef0b4a46a915e3eaa71b89079d422\",0,\"thm_3420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358482,
+      "path": "data/train/p4c/deepseek-000067-0000-9c41997dbc44babf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "9c41997dbc44babf72866d00609832b8b2c53bd293082d107d8bab58460c64d9"
+    },
+    {
+      "bytes": 51318,
+      "path": "data/dev/p4c/deepseek-000067-0000-2c614715b640d550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2c614715b640d55045a1366f7cc8af77fa6733b4c8c4fa18d100167b92cdfcb7"
+    },
+    {
+      "bytes": 38843,
+      "path": "data/internal_test/p4c/deepseek-000067-0000-2384d24c6ed9b85c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2384d24c6ed9b85c14d3b9f6b6d1485826aad2d316f450ffab07ead0cc82396e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000068.json b/manifests/batches/deepseek/000068.json
index 13a198229d367b0865fdcb9dd3cc6dd5b97b2b23..193092cea2f350b246714bd585f05e69a9ce9f2a 100644
--- a/manifests/batches/deepseek/000068.json
+++ b/manifests/batches/deepseek/000068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000068",
   "batch_fingerprint": "71004f0da46165c4793dcaf23a65b30e061ad835ba30eaf68b8d5ff3105ef36c",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000068-0000-9695ed2443ed12b8.parquet",
-      "sha256": "9695ed2443ed12b87f492a522cd946a8e4dbe5effe81bc8b10a4f6d250c147d8",
-      "bytes": 343823,
-      "rows": 104,
-      "revision": "5e3d9a179462ffeef8de8e2458be43d7e76db8bc"
-    },
-    {
-      "path": "data/dev/deepseek-000068-0000-caf0bac140a31a94.parquet",
-      "sha256": "caf0bac140a31a94148071f9406538c5769f22526a3849041cb353473299f1b1",
-      "bytes": 39807,
-      "rows": 7,
-      "revision": "5e3d9a179462ffeef8de8e2458be43d7e76db8bc"
-    },
-    {
-      "path": "data/internal_test/deepseek-000068-0000-5f308661d22ef3c3.parquet",
-      "sha256": "5f308661d22ef3c396710449f6c70ca778e742a73f3c209c673709e238601ee3",
-      "bytes": 48952,
-      "rows": 7,
-      "revision": "5e3d9a179462ffeef8de8e2458be43d7e76db8bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3421",
     "deepseek:thm_3422",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003447.lean\",\"f3927c71031cc06481f88e9a80121bc2e00ee77fe20ddcb0b8df9733ead3f500\",0,\"thm_3468\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003448.lean\",\"0fde34cfa0fa44c7e0d7329f1bbdffb26d8769151f017ab041a90a80084093fc\",0,\"thm_3469\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003449.lean\",\"a2f1dbbf8098143e11b0a1d0bfa220c54c9aa8633e8de7c3c27b36448339c32f\",0,\"thm_3470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343823,
+      "path": "data/train/pa4/deepseek-000068-0000-9695ed2443ed12b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "9695ed2443ed12b87f492a522cd946a8e4dbe5effe81bc8b10a4f6d250c147d8"
+    },
+    {
+      "bytes": 39807,
+      "path": "data/dev/pa4/deepseek-000068-0000-caf0bac140a31a94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "caf0bac140a31a94148071f9406538c5769f22526a3849041cb353473299f1b1"
+    },
+    {
+      "bytes": 48952,
+      "path": "data/internal_test/pa4/deepseek-000068-0000-5f308661d22ef3c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5f308661d22ef3c396710449f6c70ca778e742a73f3c209c673709e238601ee3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000069.json b/manifests/batches/deepseek/000069.json
index de97c4820a8d29656afbd840f3e14c2b1527193b..21fdc7dd45cf9d686d498a758d1f11ba0a3ad86d 100644
--- a/manifests/batches/deepseek/000069.json
+++ b/manifests/batches/deepseek/000069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000069",
   "batch_fingerprint": "34deea5f5d223fc7092ab1064984925f8bd4225be534ec9f4a4b6fc8c2b93aec",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000069-0000-dfd46afdde8ea070.parquet",
-      "sha256": "dfd46afdde8ea0706e1b54a9b96de3e77f14a6dd3b9612c331508561998e2823",
-      "bytes": 351456,
-      "rows": 104,
-      "revision": "a899b298366be1b5a2a8f7fd51832d5943dd141b"
-    },
-    {
-      "path": "data/dev/deepseek-000069-0000-b38c41054e7697ad.parquet",
-      "sha256": "b38c41054e7697ad46e264791b2150739f2dcfe6be75c15af50320eec729c1b2",
-      "bytes": 29695,
-      "rows": 3,
-      "revision": "a899b298366be1b5a2a8f7fd51832d5943dd141b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000069-0000-618bc2c6b1714bde.parquet",
-      "sha256": "618bc2c6b1714bde88628fa9619ad221197a80da6a13a8cb4ba5b095abdb9dd7",
-      "bytes": 64821,
-      "rows": 18,
-      "revision": "a899b298366be1b5a2a8f7fd51832d5943dd141b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3471",
     "deepseek:thm_3472",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003497.lean\",\"c8e4c9bf509ab69b561b9d19c795a53a5daac3dcf79581b12392fde965cd678d\",0,\"thm_3518\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003498.lean\",\"51afae6ac964a3042ad0dae95cd51504829dc765428f970166df698d059b3009\",0,\"thm_3519\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003499.lean\",\"7b656aea52223afa63aa782f42c10b3f81d62c56aaf910a38407145e9374cad1\",0,\"thm_3520\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351456,
+      "path": "data/train/pd3/deepseek-000069-0000-dfd46afdde8ea070.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "dfd46afdde8ea0706e1b54a9b96de3e77f14a6dd3b9612c331508561998e2823"
+    },
+    {
+      "bytes": 29695,
+      "path": "data/dev/pd3/deepseek-000069-0000-b38c41054e7697ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b38c41054e7697ad46e264791b2150739f2dcfe6be75c15af50320eec729c1b2"
+    },
+    {
+      "bytes": 64821,
+      "path": "data/internal_test/pd3/deepseek-000069-0000-618bc2c6b1714bde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "618bc2c6b1714bde88628fa9619ad221197a80da6a13a8cb4ba5b095abdb9dd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000070.json b/manifests/batches/deepseek/000070.json
index 748575de36207953290d70e71fe7ac34839d95da..1d30cf45b6f54f5e951a3bbce9940856852cce4c 100644
--- a/manifests/batches/deepseek/000070.json
+++ b/manifests/batches/deepseek/000070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000070",
   "batch_fingerprint": "da6280e169dbca7b2984289ec07af941e1cb6cb93e6324eb3329fe757815cd12",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000070-0000-522c031bd3f8f329.parquet",
-      "sha256": "522c031bd3f8f329784565505d8e0be3ecd751213e1606a504798c5fd5aed977",
-      "bytes": 279409,
-      "rows": 85,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000070-0000-c5855de4e71b2e96.parquet",
-      "sha256": "c5855de4e71b2e965c7a62bfa8dc39d43457ccbfc6a223ee035ad4c04e678294",
-      "bytes": 55282,
-      "rows": 8,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000070-0000-1dab93d0c302b237.parquet",
-      "sha256": "1dab93d0c302b237626d4d6c2523e4aae835b6cf4cfdd19bf95a6fe5c74fbcc8",
-      "bytes": 70092,
-      "rows": 19,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3522",
     "deepseek:thm_3523",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003547.lean\",\"7563cd6d310945ae3b318ab1027e2a7ee52dceff118f34cacbb3e7d69043eeff\",0,\"thm_3568\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003548.lean\",\"3e9a64d21283b6da0ac43b156dd263463181723763a1b64b9fa65ec52d0e0a3d\",0,\"thm_3569\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003549.lean\",\"081efbff39ff3d45e3348f5ec20c8102ce1ad74c12ec7fd047be69db643e953a\",0,\"thm_3570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279409,
+      "path": "data/train/p2b/deepseek-000070-0000-522c031bd3f8f329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "522c031bd3f8f329784565505d8e0be3ecd751213e1606a504798c5fd5aed977"
+    },
+    {
+      "bytes": 55282,
+      "path": "data/dev/p2b/deepseek-000070-0000-c5855de4e71b2e96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c5855de4e71b2e965c7a62bfa8dc39d43457ccbfc6a223ee035ad4c04e678294"
+    },
+    {
+      "bytes": 70092,
+      "path": "data/internal_test/p2b/deepseek-000070-0000-1dab93d0c302b237.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1dab93d0c302b237626d4d6c2523e4aae835b6cf4cfdd19bf95a6fe5c74fbcc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000071.json b/manifests/batches/deepseek/000071.json
index 889ad0c6fb4b3bdd51cece8ef6dda3758a2e76b6..cc796d4742b79101c37cee32f029fc6ed4aae5de 100644
--- a/manifests/batches/deepseek/000071.json
+++ b/manifests/batches/deepseek/000071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000071",
   "batch_fingerprint": "8db60dc3e67fe5da895df34a5f9adce70de716467e35938ad11fa3279c68f9fd",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000071-0000-aded3c877eb79479.parquet",
-      "sha256": "aded3c877eb79479fd62f2c21ed1fd7134a416606fec5c0c5c0a440d009a1fab",
-      "bytes": 342834,
-      "rows": 99,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/dev/deepseek-000071-0000-3995f6fccca3966c.parquet",
-      "sha256": "3995f6fccca3966c7948540ff926283bf0694d3c2ebf4ead5f4adcf2d7a48369",
-      "bytes": 58323,
-      "rows": 10,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000071-0000-d9d0ee7a0d9630c0.parquet",
-      "sha256": "d9d0ee7a0d9630c0a965613b29c88ed38d62a0f57e2e93f337038166252f62c7",
-      "bytes": 53877,
-      "rows": 11,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3571",
     "deepseek:thm_3572",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003597.lean\",\"bb99124878f56f0f0044fa008e1f3a0729f74e5ec8afd9acfa4b3352d60d7870\",0,\"thm_3618\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003598.lean\",\"f42dbb993badb7c93113c8af49be9b0b24794af4ccb5ab6c2f3a571dfaea08c0\",0,\"thm_3619\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003599.lean\",\"fdbb09a8914765849f545adfa6f3a37910225be21b862d3b37c9171b52e5a415\",0,\"thm_3620\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342834,
+      "path": "data/train/p20/deepseek-000071-0000-aded3c877eb79479.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "aded3c877eb79479fd62f2c21ed1fd7134a416606fec5c0c5c0a440d009a1fab"
+    },
+    {
+      "bytes": 58323,
+      "path": "data/dev/p20/deepseek-000071-0000-3995f6fccca3966c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3995f6fccca3966c7948540ff926283bf0694d3c2ebf4ead5f4adcf2d7a48369"
+    },
+    {
+      "bytes": 53877,
+      "path": "data/internal_test/p20/deepseek-000071-0000-d9d0ee7a0d9630c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d9d0ee7a0d9630c0a965613b29c88ed38d62a0f57e2e93f337038166252f62c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000072.json b/manifests/batches/deepseek/000072.json
index a10978d522033de91057acba4ff5aead9ec26605..b681dc9bdc298b7378d5e6110a6be25fe9dc4ba4 100644
--- a/manifests/batches/deepseek/000072.json
+++ b/manifests/batches/deepseek/000072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000072",
   "batch_fingerprint": "683113eb88904b96eab5593c35925c62d9fff1ed0ec53a69de794a0b9506819b",
   "evidence": {
@@ -70,29 +69,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000072-0000-f1503bfa75a30b50.parquet",
-      "sha256": "f1503bfa75a30b508db06e53a534b49177f67dbafec7c46aa444e47d2a2e3860",
-      "bytes": 283366,
-      "rows": 89,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    },
-    {
-      "path": "data/dev/deepseek-000072-0000-b9533745b4795c6f.parquet",
-      "sha256": "b9533745b4795c6f9e6021d1b687d1e632e47734787006e21419f5a2fad8bf5c",
-      "bytes": 33068,
-      "rows": 5,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    },
-    {
-      "path": "data/internal_test/deepseek-000072-0000-08c341091c3d4037.parquet",
-      "sha256": "08c341091c3d403741fdf556947e112c568c80fc95920c1e26956e655cae039c",
-      "bytes": 56263,
-      "rows": 17,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3621",
     "deepseek:thm_3622",
@@ -192,5 +169,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003646.lean\",\"401f76c5fc1537b76570f8447ffa73b32bb38abc44a0fa2364c622393c25cbe7\",0,\"thm_3667\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003648.lean\",\"b28ab3a34bd9cd0f0717b0d0fac2369673051ad9929caf53cb78b02a233b1c2c\",0,\"thm_3669\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003649.lean\",\"2bf3b11f95bb495ef9b8fbf58e3561bc5df7e957cf3a5ecf294c220204cbf7ae\",0,\"thm_3670\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283366,
+      "path": "data/train/pd2/deepseek-000072-0000-f1503bfa75a30b50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "f1503bfa75a30b508db06e53a534b49177f67dbafec7c46aa444e47d2a2e3860"
+    },
+    {
+      "bytes": 33068,
+      "path": "data/dev/pd2/deepseek-000072-0000-b9533745b4795c6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b9533745b4795c6f9e6021d1b687d1e632e47734787006e21419f5a2fad8bf5c"
+    },
+    {
+      "bytes": 56263,
+      "path": "data/internal_test/pd2/deepseek-000072-0000-08c341091c3d4037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "08c341091c3d403741fdf556947e112c568c80fc95920c1e26956e655cae039c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000073.json b/manifests/batches/deepseek/000073.json
index 8160f5490ace089fd4545e53618857562b93182a..491cb46f65e1ab5145a60d8c9ec7b08a9f89419b 100644
--- a/manifests/batches/deepseek/000073.json
+++ b/manifests/batches/deepseek/000073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000073",
   "batch_fingerprint": "f011352bfcc9fe03c483ee24ab6e6cbe45143e0b757889c8935606623a286087",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000073-0000-2a342bbd056631cc.parquet",
-      "sha256": "2a342bbd056631cc5e973697c1253e5ead1d697fa36a73de6ca94b42095c0b37",
-      "bytes": 345691,
-      "rows": 102,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    },
-    {
-      "path": "data/dev/deepseek-000073-0000-d3cc52261219a557.parquet",
-      "sha256": "d3cc52261219a55734ce4638333b2474332f1aeb2c681e0622153624c898b257",
-      "bytes": 35393,
-      "rows": 2,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    },
-    {
-      "path": "data/internal_test/deepseek-000073-0000-244b5397a4f84170.parquet",
-      "sha256": "244b5397a4f84170571e9a1a4c13a76aedd2f4c80fefd822bb5b2b5ff7d34dcc",
-      "bytes": 107763,
-      "rows": 11,
-      "revision": "0ac0828d9d31be6b78063a7a02fa137fd73d17ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3671",
     "deepseek:thm_3672",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003697.lean\",\"df4223640d23906816972cfdc03b9caff617d8c865a039710d72b8b3187d43b4\",0,\"thm_3718\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003698.lean\",\"00dbf3e70ac729820a97a2a41739af872b37a635c3d9181898e61c9730651eab\",0,\"thm_3719\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003699.lean\",\"65fc819b0526976f5d6d1ffe48b27e29c6902222d3deb11259c7eabee5edccd8\",0,\"thm_3720\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345691,
+      "path": "data/train/p2a/deepseek-000073-0000-2a342bbd056631cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "2a342bbd056631cc5e973697c1253e5ead1d697fa36a73de6ca94b42095c0b37"
+    },
+    {
+      "bytes": 35393,
+      "path": "data/dev/p2a/deepseek-000073-0000-d3cc52261219a557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d3cc52261219a55734ce4638333b2474332f1aeb2c681e0622153624c898b257"
+    },
+    {
+      "bytes": 107763,
+      "path": "data/internal_test/p2a/deepseek-000073-0000-244b5397a4f84170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "244b5397a4f84170571e9a1a4c13a76aedd2f4c80fefd822bb5b2b5ff7d34dcc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000074.json b/manifests/batches/deepseek/000074.json
index 5ec4681745fcbd2b832571414ab85cd0914cdc6d..ac0fd17bcceae3c86682c600fbd4f30d98ea3404 100644
--- a/manifests/batches/deepseek/000074.json
+++ b/manifests/batches/deepseek/000074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000074",
   "batch_fingerprint": "8a44d5ac41b1fbaf0077fec9bc912a635dbcaba7956110ef84ce56819c7f2a63",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000074-0000-fb9ade3d723126ba.parquet",
-      "sha256": "fb9ade3d723126ba719bc47d6d3254e4c0a3a7a63dc10b6971a046c215d42db1",
-      "bytes": 338733,
-      "rows": 104,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000074-0000-e5341ec57ae1fb44.parquet",
-      "sha256": "e5341ec57ae1fb44d6a50945ece834794dfd480b1bbd8706419f74f9fb3f877a",
-      "bytes": 30078,
-      "rows": 2,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000074-0000-160e0b0255eb678f.parquet",
-      "sha256": "160e0b0255eb678f15e7ed819a4ea68d01e054e19194acc7f497382775f9865a",
-      "bytes": 48217,
-      "rows": 7,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3721",
     "deepseek:thm_3722",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003746.lean\",\"c04ee9217aeaf2017bdfa82b4206302440d0a905a21965c2efaa39cd5fc7c541\",0,\"thm_3767\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003747.lean\",\"0ce5ea64c49a4b0142b1e87577b6b3e32486b3c980c670c5ea13a363a28c73e7\",0,\"thm_3768\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003748.lean\",\"7a6c5d0582a5a2d7d556b87549310c8a60ffaf945fab980af0313cd36f5afba2\",0,\"thm_3769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338733,
+      "path": "data/train/pd1/deepseek-000074-0000-fb9ade3d723126ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "fb9ade3d723126ba719bc47d6d3254e4c0a3a7a63dc10b6971a046c215d42db1"
+    },
+    {
+      "bytes": 30078,
+      "path": "data/dev/pd1/deepseek-000074-0000-e5341ec57ae1fb44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e5341ec57ae1fb44d6a50945ece834794dfd480b1bbd8706419f74f9fb3f877a"
+    },
+    {
+      "bytes": 48217,
+      "path": "data/internal_test/pd1/deepseek-000074-0000-160e0b0255eb678f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "160e0b0255eb678f15e7ed819a4ea68d01e054e19194acc7f497382775f9865a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000075.json b/manifests/batches/deepseek/000075.json
index 5096cfd8e9be50e66a7bde14b300cecd2f65b233..9995fb581c766b2536a17425428e58fd1c263b19 100644
--- a/manifests/batches/deepseek/000075.json
+++ b/manifests/batches/deepseek/000075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000075",
   "batch_fingerprint": "d2c84955e6204c2dde51a03b03586656da6a84c74b7fc347e5688def089e24ae",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000075-0000-6ceb69d588f1519f.parquet",
-      "sha256": "6ceb69d588f1519faf91ee9394a9bcaa7cc3c4a6ae87fd6dc3dc4c91d8559649",
-      "bytes": 356466,
-      "rows": 117,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000075-0000-a564c40e5ad03b6f.parquet",
-      "sha256": "a564c40e5ad03b6fed1c4227ebea7810f940ca268419fb4be9c7cb0e5792846b",
-      "bytes": 30890,
-      "rows": 2,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3771",
     "deepseek:thm_3772",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003797.lean\",\"daa2ff67244270e25ae5422a088c003c837bcfaa3e6ad718909603b927928a9a\",0,\"thm_3818\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003798.lean\",\"0b87b378414103cef64f1f99093f4f55caa08e31c7bb62d4e8e53c15359d7400\",0,\"thm_3819\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003799.lean\",\"d0af8a483e772e4951271a1113786859b8a964f233b7bbbfb5ffa9db9cd46013\",0,\"thm_3820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356466,
+      "path": "data/train/pa3/deepseek-000075-0000-6ceb69d588f1519f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "6ceb69d588f1519faf91ee9394a9bcaa7cc3c4a6ae87fd6dc3dc4c91d8559649"
+    },
+    {
+      "bytes": 30890,
+      "path": "data/dev/pa3/deepseek-000075-0000-a564c40e5ad03b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a564c40e5ad03b6fed1c4227ebea7810f940ca268419fb4be9c7cb0e5792846b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000076.json b/manifests/batches/deepseek/000076.json
index 4056cc768d797a94031ecaa2890d3335dd5959fa..ed6e591e1f381546c23d3b72e4e1fc938c94ede2 100644
--- a/manifests/batches/deepseek/000076.json
+++ b/manifests/batches/deepseek/000076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000076",
   "batch_fingerprint": "23f029f220e3c84f32b5b7ea5badd198417d7711db251ffa0cf3c06255ea780d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000076-0000-600275cc38361d22.parquet",
-      "sha256": "600275cc38361d221da8722df28e23d2a95cab005273354b530ba172868b2361",
-      "bytes": 298859,
-      "rows": 90,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/dev/deepseek-000076-0000-699db7d0c5fece7a.parquet",
-      "sha256": "699db7d0c5fece7ad3defc15bc2de0c2fd6e2354bf2e436df0504296eaf61bf9",
-      "bytes": 36580,
-      "rows": 6,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000076-0000-a0d66e69002e01a5.parquet",
-      "sha256": "a0d66e69002e01a5cd5b4774a10473ead406a6ec31d48941e96bd9e05df94fd8",
-      "bytes": 72365,
-      "rows": 17,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3821",
     "deepseek:thm_3822",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003846.lean\",\"c36e712a8facf7c619953a7c388371bc0c967ab22641293fef368fbeefd36f82\",0,\"thm_3867\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003847.lean\",\"86b747081ba2350974e43a2cc5b32026e8bff4561effe9c3e174793aa16b2a05\",0,\"thm_3868\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003848.lean\",\"cf1feaecac50b8a7295c5a25825d72703a494aa300f0f654cadadb2d3145c949\",0,\"thm_3869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298859,
+      "path": "data/train/pa9/deepseek-000076-0000-600275cc38361d22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "600275cc38361d221da8722df28e23d2a95cab005273354b530ba172868b2361"
+    },
+    {
+      "bytes": 36580,
+      "path": "data/dev/pa9/deepseek-000076-0000-699db7d0c5fece7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "699db7d0c5fece7ad3defc15bc2de0c2fd6e2354bf2e436df0504296eaf61bf9"
+    },
+    {
+      "bytes": 72365,
+      "path": "data/internal_test/pa9/deepseek-000076-0000-a0d66e69002e01a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a0d66e69002e01a5cd5b4774a10473ead406a6ec31d48941e96bd9e05df94fd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000077.json b/manifests/batches/deepseek/000077.json
index 0dcbd9c9c9f3d76f351b547712e3747b2ab68593..714127e15ea7f23cee0f6357ac59bd7a847209ca 100644
--- a/manifests/batches/deepseek/000077.json
+++ b/manifests/batches/deepseek/000077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000077",
   "batch_fingerprint": "d6c2062605cf98a75cec1f15841615a10425cc8f3280586d1ce2ec6f3e4fce65",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000077-0000-eb95adfe255c66b0.parquet",
-      "sha256": "eb95adfe255c66b0555e5c07e0a80fe3ac3e0eb18433afa1134e5994e8a822e8",
-      "bytes": 288918,
-      "rows": 95,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000077-0000-3e7a3689f56b16bc.parquet",
-      "sha256": "3e7a3689f56b16bc744fb5c5b30f02be3bee6c36f6c19f1bca63b3eb03dda5ed",
-      "bytes": 48968,
-      "rows": 10,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000077-0000-66ba7a59b6538e6f.parquet",
-      "sha256": "66ba7a59b6538e6f3f4dbb13580b3b944d0df7ad45a66b5db227d7b1a5932cf4",
-      "bytes": 66725,
-      "rows": 13,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3871",
     "deepseek:thm_3872",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003897.lean\",\"dfb486cf466a23445ea442a3230c7c35384381217355b60920afed467822636a\",0,\"thm_3918\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003898.lean\",\"f6d720d614d85875663e08a0709b8a76a266b5acbbcb58da3b00554a7c3c05de\",0,\"thm_3919\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003899.lean\",\"6981f703406f3d617a39116159dc914efab810da576aca2878996d8b2d3344dd\",0,\"thm_3920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288918,
+      "path": "data/train/pb3/deepseek-000077-0000-eb95adfe255c66b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "eb95adfe255c66b0555e5c07e0a80fe3ac3e0eb18433afa1134e5994e8a822e8"
+    },
+    {
+      "bytes": 48968,
+      "path": "data/dev/pb3/deepseek-000077-0000-3e7a3689f56b16bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3e7a3689f56b16bc744fb5c5b30f02be3bee6c36f6c19f1bca63b3eb03dda5ed"
+    },
+    {
+      "bytes": 66725,
+      "path": "data/internal_test/pb3/deepseek-000077-0000-66ba7a59b6538e6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "66ba7a59b6538e6f3f4dbb13580b3b944d0df7ad45a66b5db227d7b1a5932cf4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000078.json b/manifests/batches/deepseek/000078.json
index cfa4f77dcc793f0e02b8abc2bfb08b13220351df..ccbf9567d8a84063a787c579881fdd1d44fc128f 100644
--- a/manifests/batches/deepseek/000078.json
+++ b/manifests/batches/deepseek/000078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000078",
   "batch_fingerprint": "4a19eb00eda54a4530995dd335f8577bdb60d65fe00a45dee7e13877937fce8d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000078-0000-c5c370d120de4629.parquet",
-      "sha256": "c5c370d120de46290b06fa1bb5332acc155357641fa7e9d150977b075298c1e2",
-      "bytes": 357200,
-      "rows": 94,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/dev/deepseek-000078-0000-b86e33f47f7e0009.parquet",
-      "sha256": "b86e33f47f7e0009b00420b8732e431dca01a9e0f5c7ebec3a85c4ac576258d8",
-      "bytes": 43280,
-      "rows": 4,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000078-0000-4b65eb5b41c2e532.parquet",
-      "sha256": "4b65eb5b41c2e53238762076c83b4235d0adefe91280077259ae5c73c224236c",
-      "bytes": 36853,
-      "rows": 9,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3921",
     "deepseek:thm_3922",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003947.lean\",\"2a8797b8d2f83215e340a33aa03c1edc37297ed9bdcb9328680289257e07366b\",0,\"thm_3969\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003948.lean\",\"a4acc17ecf46fd41d1ca1ab27d544537751fd58bdb4825103d199dfbe2ae38cc\",0,\"thm_3970\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003949.lean\",\"1ede3ad024630cc11f54a6709a78021205d40f6f7b5b3487a9a8e9c5b2626de1\",0,\"thm_3971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357200,
+      "path": "data/train/p22/deepseek-000078-0000-c5c370d120de4629.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "c5c370d120de46290b06fa1bb5332acc155357641fa7e9d150977b075298c1e2"
+    },
+    {
+      "bytes": 43280,
+      "path": "data/dev/p22/deepseek-000078-0000-b86e33f47f7e0009.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b86e33f47f7e0009b00420b8732e431dca01a9e0f5c7ebec3a85c4ac576258d8"
+    },
+    {
+      "bytes": 36853,
+      "path": "data/internal_test/p22/deepseek-000078-0000-4b65eb5b41c2e532.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4b65eb5b41c2e53238762076c83b4235d0adefe91280077259ae5c73c224236c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000079.json b/manifests/batches/deepseek/000079.json
index 7622a5c3fe24c985fdaf3bef45d9f8df9a4fc12f..f7b7339bde242665e6c2065e3aeec09ca338d15a 100644
--- a/manifests/batches/deepseek/000079.json
+++ b/manifests/batches/deepseek/000079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000079",
   "batch_fingerprint": "710b9e57aebdcffa06b297fa22a0791b147b25d5c5e065c9801382a54e33aa4f",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000079-0000-03a56402d6c4f73f.parquet",
-      "sha256": "03a56402d6c4f73f4898d4c55b2e0178d55ecf1d642db1da708832c20aba37cd",
-      "bytes": 294054,
-      "rows": 93,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000079-0000-89415a9d3a574b61.parquet",
-      "sha256": "89415a9d3a574b613930e472b54274831dc11e1cd41edbd6a45be04256dfba54",
-      "bytes": 54526,
-      "rows": 10,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000079-0000-7e44f32a800a1721.parquet",
-      "sha256": "7e44f32a800a1721b46027e6efe606039d17b7680256ea54e8605e1cc9aac9e9",
-      "bytes": 42570,
-      "rows": 8,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_3972",
     "deepseek:thm_3973",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003997.lean\",\"236cf30f39294f92a595b7fff96070bdc10663e6b6deff56c290bfb214785fdc\",0,\"thm_4019\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003998.lean\",\"791e6ccfcd891f9cf06e664d1af71e64d85ff4f4ccc95f0905fa877400b16d36\",0,\"thm_4020\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003999.lean\",\"c4d7b2df935d7c891851b6e03239e1a7a5ca83e9db410a85a387ae7d3940d90b\",0,\"thm_4021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294054,
+      "path": "data/train/p82/deepseek-000079-0000-03a56402d6c4f73f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "03a56402d6c4f73f4898d4c55b2e0178d55ecf1d642db1da708832c20aba37cd"
+    },
+    {
+      "bytes": 54526,
+      "path": "data/dev/p82/deepseek-000079-0000-89415a9d3a574b61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "89415a9d3a574b613930e472b54274831dc11e1cd41edbd6a45be04256dfba54"
+    },
+    {
+      "bytes": 42570,
+      "path": "data/internal_test/p82/deepseek-000079-0000-7e44f32a800a1721.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7e44f32a800a1721b46027e6efe606039d17b7680256ea54e8605e1cc9aac9e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000080.json b/manifests/batches/deepseek/000080.json
index 106843251716ebfbe1d8d5093b0ec4e943e261f6..457193fcf6892a0e5ff73babe130b6fd7c460803 100644
--- a/manifests/batches/deepseek/000080.json
+++ b/manifests/batches/deepseek/000080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000080",
   "batch_fingerprint": "e84764b4b47a0340415b5fa7b1f5203a82c8763804bb275a499f30186a0c10b5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000080-0000-42d2cba61642c781.parquet",
-      "sha256": "42d2cba61642c781197c7da916e962252dfa759dc9608214ae24121d126bc99f",
-      "bytes": 382426,
-      "rows": 105,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/dev/deepseek-000080-0000-e4772717d24ad314.parquet",
-      "sha256": "e4772717d24ad3149f3a381bba3a3df5054d9a2cea32ad353ba83d532b4e30bc",
-      "bytes": 38142,
-      "rows": 3,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000080-0000-565e7d6d1bd72eab.parquet",
-      "sha256": "565e7d6d1bd72eab9f1db2e2096b6bb3e387fffb3d8d8e5d0bebf402fde8509c",
-      "bytes": 54248,
-      "rows": 8,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4022",
     "deepseek:thm_4023",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004047.lean\",\"82c1cfc0aea569e6b0dc7d732ac144974a2191f00761968cded35e1f957d7df9\",0,\"thm_4069\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004048.lean\",\"6ebb42940e4690ea58791b74bcced5f7b644827cec9520395d88a30d44f14c06\",0,\"thm_4070\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004049.lean\",\"50a13f86e072b53f254504fdeb49f712605da46ac733f441f51afc12dd19eef3\",0,\"thm_4071\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382426,
+      "path": "data/train/p46/deepseek-000080-0000-42d2cba61642c781.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "42d2cba61642c781197c7da916e962252dfa759dc9608214ae24121d126bc99f"
+    },
+    {
+      "bytes": 38142,
+      "path": "data/dev/p46/deepseek-000080-0000-e4772717d24ad314.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e4772717d24ad3149f3a381bba3a3df5054d9a2cea32ad353ba83d532b4e30bc"
+    },
+    {
+      "bytes": 54248,
+      "path": "data/internal_test/p46/deepseek-000080-0000-565e7d6d1bd72eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "565e7d6d1bd72eab9f1db2e2096b6bb3e387fffb3d8d8e5d0bebf402fde8509c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000081.json b/manifests/batches/deepseek/000081.json
index a907158b764210ed71f86f0a6030604975cb476c..69bb5f6a2444e1610f080fe579e7dc07688405c0 100644
--- a/manifests/batches/deepseek/000081.json
+++ b/manifests/batches/deepseek/000081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000081",
   "batch_fingerprint": "44ddeb8341ee26338171b6ff6fec881cf6aefafe8b62735ea4cb08f9d784c957",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000081-0000-f3b29c241b6885d5.parquet",
-      "sha256": "f3b29c241b6885d598dbb549ba2674b44576e1b1943b40ba3f4ddd98713b4354",
-      "bytes": 289370,
-      "rows": 96,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000081-0000-07f1addbd0931fdc.parquet",
-      "sha256": "07f1addbd0931fdcbe8c88a871602953c6f7647e537a89510d2d7255a75e718a",
-      "bytes": 46565,
-      "rows": 9,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000081-0000-0798416fec9fa463.parquet",
-      "sha256": "0798416fec9fa46355720c1720d983162e4113ba61186631b75d5dafaca5869e",
-      "bytes": 96593,
-      "rows": 18,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4072",
     "deepseek:thm_4073",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004097.lean\",\"be2f11dfebf17316387239c5bc6c4f8e695234ac4f91e68eeddef88e7f8e0829\",0,\"thm_4119\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004098.lean\",\"d96a171c94692c0e38cf1ee1045706e8674be5df1655e9ea7da0cb650846f14c\",0,\"thm_4120\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004099.lean\",\"8500a4c0a38303133c048d3cd81b0744322e051a533247992d8d6f59ae46e6a3\",0,\"thm_4121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289370,
+      "path": "data/train/p4f/deepseek-000081-0000-f3b29c241b6885d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "f3b29c241b6885d598dbb549ba2674b44576e1b1943b40ba3f4ddd98713b4354"
+    },
+    {
+      "bytes": 46565,
+      "path": "data/dev/p4f/deepseek-000081-0000-07f1addbd0931fdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "07f1addbd0931fdcbe8c88a871602953c6f7647e537a89510d2d7255a75e718a"
+    },
+    {
+      "bytes": 96593,
+      "path": "data/internal_test/p4f/deepseek-000081-0000-0798416fec9fa463.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0798416fec9fa46355720c1720d983162e4113ba61186631b75d5dafaca5869e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000082.json b/manifests/batches/deepseek/000082.json
index eed050cef94733eb0c0206a630caad2c7349518b..5787160d357f6a70911355f12d6af065721bd509 100644
--- a/manifests/batches/deepseek/000082.json
+++ b/manifests/batches/deepseek/000082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000082",
   "batch_fingerprint": "3eedf2de44427bef6ed1cfbb30c5d33429ffed180b4d7d15cbbd2de55cb5b0aa",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000082-0000-abcc170905d4f068.parquet",
-      "sha256": "abcc170905d4f068cb30a1075c3e5d751f917be7174198ac1eaa849d55a09ac0",
-      "bytes": 342909,
-      "rows": 112,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/dev/deepseek-000082-0000-eaac49addd65840e.parquet",
-      "sha256": "eaac49addd65840ea73004669fe4cc0e25c00e702ce906cbd9d82198589b9878",
-      "bytes": 59444,
-      "rows": 10,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000082-0000-f7939aa935986798.parquet",
-      "sha256": "f7939aa9359867988d36fcdb0fe64c5016ddbec34df029db83e5d0f1a11ec9b5",
-      "bytes": 43430,
-      "rows": 8,
-      "revision": "0bed85d9ec8100a8ff3eec2a4f0a4da05b89591b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4122",
     "deepseek:thm_4123",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004147.lean\",\"ae73194b03ce6ad87311bfe8e3260374e460480e7c9a6cfa25b5f24abf869658\",0,\"thm_4169\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004148.lean\",\"95cb7fda9fb8ee6705b17589f0c1e8f36f298ddf6bd69441b8882b6a11bd5ca2\",0,\"thm_4170\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004149.lean\",\"810c8f715e4f20fcd55c3753beac53c95bf2c6d91adefad96b029b415bc1f246\",0,\"thm_4171\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342909,
+      "path": "data/train/p8a/deepseek-000082-0000-abcc170905d4f068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "abcc170905d4f068cb30a1075c3e5d751f917be7174198ac1eaa849d55a09ac0"
+    },
+    {
+      "bytes": 59444,
+      "path": "data/dev/p8a/deepseek-000082-0000-eaac49addd65840e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "eaac49addd65840ea73004669fe4cc0e25c00e702ce906cbd9d82198589b9878"
+    },
+    {
+      "bytes": 43430,
+      "path": "data/internal_test/p8a/deepseek-000082-0000-f7939aa935986798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f7939aa9359867988d36fcdb0fe64c5016ddbec34df029db83e5d0f1a11ec9b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000083.json b/manifests/batches/deepseek/000083.json
index d41ecea3c690160a6262a6854221faeabe718349..f19f8662c038b75bf125470650d779fe7d72b1fb 100644
--- a/manifests/batches/deepseek/000083.json
+++ b/manifests/batches/deepseek/000083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000083",
   "batch_fingerprint": "ea89f47eb50cef06d62d521c9ebf0e0675a6736cc0de7d0ab330a18a6b60ba8e",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000083-0000-ab303a48b98764e2.parquet",
-      "sha256": "ab303a48b98764e2bd40a75766c9dc7ebb6e5b6c79da21befb1b9c396956a1bd",
-      "bytes": 335811,
-      "rows": 98,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/deepseek-000083-0000-2666b490441a46d8.parquet",
-      "sha256": "2666b490441a46d85060101832080916b924db659aaeb965d660feea3d4d7611",
-      "bytes": 35668,
-      "rows": 4,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/deepseek-000083-0000-b43525e5a8910a9a.parquet",
-      "sha256": "b43525e5a8910a9a2c9a7bc57d287503f528a02f10ce94e501286eef85e480bd",
-      "bytes": 28559,
-      "rows": 5,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4172",
     "deepseek:thm_4173",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004197.lean\",\"091f6986723f7a292e7b18dbf703f184d2b1ad96333760355fc199b9a63b2ea0\",0,\"thm_4219\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004198.lean\",\"3860c067e1d1623c3a90d612fddf385a111fde4de1201281425af02f37900852\",0,\"thm_4220\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004199.lean\",\"49efae13a971616fab72e2765c806b9df1fb14f2915d4d22d4c79c4b89f15139\",0,\"thm_4221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335811,
+      "path": "data/train/pf2/deepseek-000083-0000-ab303a48b98764e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "ab303a48b98764e2bd40a75766c9dc7ebb6e5b6c79da21befb1b9c396956a1bd"
+    },
+    {
+      "bytes": 35668,
+      "path": "data/dev/pf2/deepseek-000083-0000-2666b490441a46d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2666b490441a46d85060101832080916b924db659aaeb965d660feea3d4d7611"
+    },
+    {
+      "bytes": 28559,
+      "path": "data/internal_test/pf2/deepseek-000083-0000-b43525e5a8910a9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b43525e5a8910a9a2c9a7bc57d287503f528a02f10ce94e501286eef85e480bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000084.json b/manifests/batches/deepseek/000084.json
index 135aeac27a0eb9782c15d87f3a8a381cb3844926..de1faaeff0266dcc7e4f0bda56f3914e57e46d08 100644
--- a/manifests/batches/deepseek/000084.json
+++ b/manifests/batches/deepseek/000084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000084",
   "batch_fingerprint": "1bb05ac2196f79e3c0b4b4f179374eff6cdb0de55d3c6b261e942e1f4dd803c0",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000084-0000-4b684787427584ec.parquet",
-      "sha256": "4b684787427584ec2b5d6d7f3c272daa3940b1b6069c0d205816b9a2f047c61b",
-      "bytes": 328268,
-      "rows": 84,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/deepseek-000084-0000-d4eb6981890db5ba.parquet",
-      "sha256": "d4eb6981890db5ba83a7d0d90677aabea7c0489ee838c93107ec1432f8827d21",
-      "bytes": 45475,
-      "rows": 9,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000084-0000-da8713b9efc72279.parquet",
-      "sha256": "da8713b9efc72279abfbf8fd1bfc49d70bfb09dc6ef10c88514c0294bcf3ce98",
-      "bytes": 55588,
-      "rows": 18,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4223",
     "deepseek:thm_4224",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004247.lean\",\"b0d6b1349d0cfaa0e0414287ae23a4d7d0bd4858713b5bf01919796a2843e6a2\",0,\"thm_4269\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004248.lean\",\"164f027b000b9fda659705cb22b17ccef53bceb2e7d041b07b56b821950e2fc9\",0,\"thm_4270\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004249.lean\",\"7459119b007f00cb6e5809fd4ea6ed51b38f59dcc2198627e71c91368387f428\",0,\"thm_4271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328268,
+      "path": "data/train/pb1/deepseek-000084-0000-4b684787427584ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "4b684787427584ec2b5d6d7f3c272daa3940b1b6069c0d205816b9a2f047c61b"
+    },
+    {
+      "bytes": 45475,
+      "path": "data/dev/pb1/deepseek-000084-0000-d4eb6981890db5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d4eb6981890db5ba83a7d0d90677aabea7c0489ee838c93107ec1432f8827d21"
+    },
+    {
+      "bytes": 55588,
+      "path": "data/internal_test/pb1/deepseek-000084-0000-da8713b9efc72279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "da8713b9efc72279abfbf8fd1bfc49d70bfb09dc6ef10c88514c0294bcf3ce98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000085.json b/manifests/batches/deepseek/000085.json
index 63cfe3676495ffb2ad1d22351dca83e63afd2686..f993125e03c2b0617387c05471ad755babb3fd0a 100644
--- a/manifests/batches/deepseek/000085.json
+++ b/manifests/batches/deepseek/000085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000085",
   "batch_fingerprint": "ffa1fd8b3951a9531a82854dfde19ca3194c97ba3d24c567e57ad33c62696b55",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000085-0000-0a67579f0263fee1.parquet",
-      "sha256": "0a67579f0263fee1e4149a2a601dda267520c9a38b1c705eb9d78937290591f3",
-      "bytes": 317743,
-      "rows": 95,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000085-0000-b670e39b50405ee7.parquet",
-      "sha256": "b670e39b50405ee7d31b48f4fa9187600b1902226c2da3174e05ebb3f2ef5b4b",
-      "bytes": 49147,
-      "rows": 7,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000085-0000-526b8f54ab78fde1.parquet",
-      "sha256": "526b8f54ab78fde1b59d3781604002ddba6d4103dd05612a4b70320f45dbbc6e",
-      "bytes": 59594,
-      "rows": 11,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4272",
     "deepseek:thm_4273",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004297.lean\",\"2fa5bb6481cea9dc76a3d4b4a06534e0c84fad24b7154339ca4f57111734bcfb\",0,\"thm_4319\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004298.lean\",\"2049c2062b0bfd436cbdb47b7b5ecd9ed94e65f60280f59e5c7b9ee7d1be5aa1\",0,\"thm_4320\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004299.lean\",\"dafb48fa11ad637cca9944fe1004b803822120c7e1a79ee47af567167bd05e11\",0,\"thm_4321\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317743,
+      "path": "data/train/p6f/deepseek-000085-0000-0a67579f0263fee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "0a67579f0263fee1e4149a2a601dda267520c9a38b1c705eb9d78937290591f3"
+    },
+    {
+      "bytes": 49147,
+      "path": "data/dev/p6f/deepseek-000085-0000-b670e39b50405ee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b670e39b50405ee7d31b48f4fa9187600b1902226c2da3174e05ebb3f2ef5b4b"
+    },
+    {
+      "bytes": 59594,
+      "path": "data/internal_test/p6f/deepseek-000085-0000-526b8f54ab78fde1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "526b8f54ab78fde1b59d3781604002ddba6d4103dd05612a4b70320f45dbbc6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000086.json b/manifests/batches/deepseek/000086.json
index ae6f8294cf9eb950d37e37a7c57729842d4c6b79..6665c6cdc39405235b38faac62190862099278c8 100644
--- a/manifests/batches/deepseek/000086.json
+++ b/manifests/batches/deepseek/000086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000086",
   "batch_fingerprint": "9802aad6374fd17a62c68835b1273d2586b64b4d9331cf47d8987c78290e5305",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000086-0000-599cffe35cbee497.parquet",
-      "sha256": "599cffe35cbee4972c52fce8d5c4e35876e5bd775aef698cb1cc76769a83c36e",
-      "bytes": 328607,
-      "rows": 97,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/deepseek-000086-0000-8329b5fe2e0eda28.parquet",
-      "sha256": "8329b5fe2e0eda288dbd3f1846c7fd1b468314545af803903ab5b64b673abb7d",
-      "bytes": 38933,
-      "rows": 7,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000086-0000-0971f3c626ddb616.parquet",
-      "sha256": "0971f3c626ddb6164487f85518d0373a2c02be7b21e60d28dd90fbce0a3ef23e",
-      "bytes": 53565,
-      "rows": 12,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4322",
     "deepseek:thm_4323",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004347.lean\",\"f7ccd52c0f44ca415df009c06dc367673e4003111f8a92c5d46130b3e8c80ffa\",0,\"thm_4370\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004348.lean\",\"7794ec348e504a365ced0a4269de52d636e8e49db2ef161392fbcbdc087c8e6d\",0,\"thm_4371\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004349.lean\",\"b1b7cd2c4448068b1863ad36be0005623ecfbf39f5c49a1f4592298eaf31d2f6\",0,\"thm_4372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328607,
+      "path": "data/train/pc5/deepseek-000086-0000-599cffe35cbee497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "599cffe35cbee4972c52fce8d5c4e35876e5bd775aef698cb1cc76769a83c36e"
+    },
+    {
+      "bytes": 38933,
+      "path": "data/dev/pc5/deepseek-000086-0000-8329b5fe2e0eda28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8329b5fe2e0eda288dbd3f1846c7fd1b468314545af803903ab5b64b673abb7d"
+    },
+    {
+      "bytes": 53565,
+      "path": "data/internal_test/pc5/deepseek-000086-0000-0971f3c626ddb616.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0971f3c626ddb6164487f85518d0373a2c02be7b21e60d28dd90fbce0a3ef23e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000087.json b/manifests/batches/deepseek/000087.json
index 793284debe64d2aed0531816e7f586d87237d382..2953827615185d3afc1a5677ee87c007ff633d55 100644
--- a/manifests/batches/deepseek/000087.json
+++ b/manifests/batches/deepseek/000087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000087",
   "batch_fingerprint": "550258943049e41feb14de9445c61043db1f510c4ad8430a2291f9b08ce9b73d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000087-0000-434be074be2109de.parquet",
-      "sha256": "434be074be2109de9ce2bc206d3409b03dd11e000d0ee1337c79e68f3b3a0edc",
-      "bytes": 351636,
-      "rows": 100,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000087-0000-30727d18f43c988b.parquet",
-      "sha256": "30727d18f43c988b4a4e6bdf7b02eda825ad3d83d2dbca45e26732e978385681",
-      "bytes": 60904,
-      "rows": 9,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000087-0000-26003b4a2478604d.parquet",
-      "sha256": "26003b4a2478604dcdc7d098766ec5080aedad2efbc3899a67aa012f6501c7d6",
-      "bytes": 37321,
-      "rows": 7,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4373",
     "deepseek:thm_4374",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004397.lean\",\"875d2825d15ddf30400658b7976568aeb7270fad371ae04cb5631d864603a091\",0,\"thm_4420\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004398.lean\",\"6443ca78fe8a860bc87d528674c9970a14bf1e15667a9f972695ea58d40f4f35\",0,\"thm_4421\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004399.lean\",\"936cf07f15e5a190fa244ca1b86e81627e904c1280662cdeb584649f636d12f1\",0,\"thm_4422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351636,
+      "path": "data/train/pd6/deepseek-000087-0000-434be074be2109de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "434be074be2109de9ce2bc206d3409b03dd11e000d0ee1337c79e68f3b3a0edc"
+    },
+    {
+      "bytes": 60904,
+      "path": "data/dev/pd6/deepseek-000087-0000-30727d18f43c988b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "30727d18f43c988b4a4e6bdf7b02eda825ad3d83d2dbca45e26732e978385681"
+    },
+    {
+      "bytes": 37321,
+      "path": "data/internal_test/pd6/deepseek-000087-0000-26003b4a2478604d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "26003b4a2478604dcdc7d098766ec5080aedad2efbc3899a67aa012f6501c7d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000088.json b/manifests/batches/deepseek/000088.json
index 8f4c39cf621f7c1c6fab4077fc8386029ba7cb11..201baaf428e1e064faa6ab42aab52d0a357da9e0 100644
--- a/manifests/batches/deepseek/000088.json
+++ b/manifests/batches/deepseek/000088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000088",
   "batch_fingerprint": "18631b968b740dd14c41dcfaf34f912718f0bb5ed60e3c7ff44ee64a3c0d41a6",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000088-0000-adbff1ed5da9b860.parquet",
-      "sha256": "adbff1ed5da9b860db8a17c4b3353c36de31f3b8972ee028cd672d7ca17cbd0e",
-      "bytes": 298415,
-      "rows": 90,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/deepseek-000088-0000-bd1699b7bedf54d9.parquet",
-      "sha256": "bd1699b7bedf54d9c88de61aa3a96f29a9d4355a6ac53c14f07183e5bdcddcf6",
-      "bytes": 42548,
-      "rows": 6,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000088-0000-45dc900b061528f6.parquet",
-      "sha256": "45dc900b061528f61b834140d7d8d98ca399a42791e0a13e0b0ab199f410cc18",
-      "bytes": 53479,
-      "rows": 15,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4423",
     "deepseek:thm_4424",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004447.lean\",\"3e083851cec783a31ae758c3ffd8c0573e5dd185ad7811d199b8fe8b1e625f83\",0,\"thm_4470\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004448.lean\",\"d1e3c674d9c36256a07c305c5283e50daa24821d7b9b91677026aa5991a7b865\",0,\"thm_4471\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004449.lean\",\"bb3ff840033aecb2e1bca98442450045cd6ac9108c8bc63358c769c792ecb793\",0,\"thm_4472\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298415,
+      "path": "data/train/p70/deepseek-000088-0000-adbff1ed5da9b860.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "adbff1ed5da9b860db8a17c4b3353c36de31f3b8972ee028cd672d7ca17cbd0e"
+    },
+    {
+      "bytes": 42548,
+      "path": "data/dev/p70/deepseek-000088-0000-bd1699b7bedf54d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bd1699b7bedf54d9c88de61aa3a96f29a9d4355a6ac53c14f07183e5bdcddcf6"
+    },
+    {
+      "bytes": 53479,
+      "path": "data/internal_test/p70/deepseek-000088-0000-45dc900b061528f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "45dc900b061528f61b834140d7d8d98ca399a42791e0a13e0b0ab199f410cc18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000089.json b/manifests/batches/deepseek/000089.json
index 83b6ac441a8f36d92ca0d93ebda970bae7c280fe..ca0411efb877022822c4485c56475537632ef135 100644
--- a/manifests/batches/deepseek/000089.json
+++ b/manifests/batches/deepseek/000089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000089",
   "batch_fingerprint": "69ada72d8c589830693a9baa5b407441b41969ffc6486924a3ec1a026f396e86",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000089-0000-2007a93fe201c4d1.parquet",
-      "sha256": "2007a93fe201c4d17f9ae392cd86068e7ab720953f5e22a025be424e96ed3f6e",
-      "bytes": 340730,
-      "rows": 103,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000089-0000-653714668d0a512c.parquet",
-      "sha256": "653714668d0a512c9252a5776bf303a3ed34a0b693ac96550da42de656853c40",
-      "bytes": 41955,
-      "rows": 5,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000089-0000-3a7e27b4f725969d.parquet",
-      "sha256": "3a7e27b4f725969d18b2cc71026dff7d0ff274861d9b568a3f2cc49f4a610597",
-      "bytes": 43606,
-      "rows": 9,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4473",
     "deepseek:thm_4474",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004497.lean\",\"7886ebbf18ded111e8e459ca553569ede9f6794a79305ed0a61f99db9311f8e3\",0,\"thm_4521\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004498.lean\",\"a570f0074678bd33cec012b1aeda690b476a61beba802531a204f2adeca64116\",0,\"thm_4522\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004499.lean\",\"9467d7f5a68d931cd7878e0cdaf015eec58a945cf3bad49c742b62af93674b5d\",0,\"thm_4523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340730,
+      "path": "data/train/p50/deepseek-000089-0000-2007a93fe201c4d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "2007a93fe201c4d17f9ae392cd86068e7ab720953f5e22a025be424e96ed3f6e"
+    },
+    {
+      "bytes": 41955,
+      "path": "data/dev/p50/deepseek-000089-0000-653714668d0a512c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "653714668d0a512c9252a5776bf303a3ed34a0b693ac96550da42de656853c40"
+    },
+    {
+      "bytes": 43606,
+      "path": "data/internal_test/p50/deepseek-000089-0000-3a7e27b4f725969d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3a7e27b4f725969d18b2cc71026dff7d0ff274861d9b568a3f2cc49f4a610597"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000090.json b/manifests/batches/deepseek/000090.json
index ee912cff563d2eb3ef2c923b414ab7d20e7f1856..7ca952865449a9f530e98e763f08738d5b82b8a4 100644
--- a/manifests/batches/deepseek/000090.json
+++ b/manifests/batches/deepseek/000090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000090",
   "batch_fingerprint": "d1d7f53cd84fb69f995fcf5ce16b65c015e6853105084b8fb701ed3f525dea12",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000090-0000-b74a4aa2a6642dfc.parquet",
-      "sha256": "b74a4aa2a6642dfcc1ae712d452677df9a50bd34b3790d2a8f3ddbb16771e467",
-      "bytes": 355098,
-      "rows": 107,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000090-0000-8630dbef3e245c19.parquet",
-      "sha256": "8630dbef3e245c19cabdeb049f2bd8ed558b9a51ca25d5cfb05eba6db36838f5",
-      "bytes": 34362,
-      "rows": 2,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000090-0000-34c27e6ab44be216.parquet",
-      "sha256": "34c27e6ab44be2161a8f00a327546dfcaf19b76a797fa4908ce7c6fb99b0b8e5",
-      "bytes": 48132,
-      "rows": 12,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4524",
     "deepseek:thm_4525",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004547.lean\",\"22ce451458617c0bf7c4f76641d5a5500756f4374b653a8716f032a2d0b560a7\",0,\"thm_4571\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004548.lean\",\"6ce57b2433efa863ae4643cbaaf49a789596a09d0df80bee92e2de23e4c9510d\",0,\"thm_4572\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004549.lean\",\"e43bc2c54cd36a466fa0deaabce29b65796b2653ab8049be73c48f386ee3e2f3\",0,\"thm_4573\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355098,
+      "path": "data/train/p79/deepseek-000090-0000-b74a4aa2a6642dfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "b74a4aa2a6642dfcc1ae712d452677df9a50bd34b3790d2a8f3ddbb16771e467"
+    },
+    {
+      "bytes": 34362,
+      "path": "data/dev/p79/deepseek-000090-0000-8630dbef3e245c19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8630dbef3e245c19cabdeb049f2bd8ed558b9a51ca25d5cfb05eba6db36838f5"
+    },
+    {
+      "bytes": 48132,
+      "path": "data/internal_test/p79/deepseek-000090-0000-34c27e6ab44be216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "34c27e6ab44be2161a8f00a327546dfcaf19b76a797fa4908ce7c6fb99b0b8e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000091.json b/manifests/batches/deepseek/000091.json
index a902a16df2fae06310c9bc2b9854c036cfb02496..cee3563a7ce03214acec9f61bf1e5c582b31e56f 100644
--- a/manifests/batches/deepseek/000091.json
+++ b/manifests/batches/deepseek/000091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000091",
   "batch_fingerprint": "50ab3949b486b9e3c3437afec62f163a3ecdc77c3760eb11efbde22ab310a951",
   "evidence": {
@@ -57,22 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000091-0000-529ee46e8d3edf15.parquet",
-      "sha256": "529ee46e8d3edf15237a655d660d5c0772f686c71bb9f8aeabf1ab5ef45a3021",
-      "bytes": 328011,
-      "rows": 104,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000091-0000-b1e1f8bc65aac2f4.parquet",
-      "sha256": "b1e1f8bc65aac2f4cc76933f268cde94cae487d94200714f1168c717b820b8e6",
-      "bytes": 61019,
-      "rows": 17,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4574",
     "deepseek:thm_4575",
@@ -172,5 +156,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004597.lean\",\"d3f5e3f8c944ed288c436436746db321821c51b7a9967d42657bb2fe239e29c8\",0,\"thm_4621\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004598.lean\",\"8e7a3a998b42c67cc1753ea1ac133901935729094559cab0d1ef22b8457fe147\",0,\"thm_4622\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004599.lean\",\"cfe4e1f5cb07a53d03e7af6142881323a55956d2aa238241747331edbef31e02\",0,\"thm_4623\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328011,
+      "path": "data/train/p0b/deepseek-000091-0000-529ee46e8d3edf15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "529ee46e8d3edf15237a655d660d5c0772f686c71bb9f8aeabf1ab5ef45a3021"
+    },
+    {
+      "bytes": 61019,
+      "path": "data/internal_test/p0b/deepseek-000091-0000-b1e1f8bc65aac2f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b1e1f8bc65aac2f4cc76933f268cde94cae487d94200714f1168c717b820b8e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000092.json b/manifests/batches/deepseek/000092.json
index 41c83da58122526feacd430b08e3f265ee24f061..d49a46af92e8843bcb3a8e81a15ac59a313d9445 100644
--- a/manifests/batches/deepseek/000092.json
+++ b/manifests/batches/deepseek/000092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000092",
   "batch_fingerprint": "929f7f75c25d52df77a3aca8b147b4379e41ea8e990516812a0afcd1affd55a1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000092-0000-1625e7ac3039805a.parquet",
-      "sha256": "1625e7ac3039805a84791882d2b6c8d1fcdb1b472833160b8c393546fe29f5d6",
-      "bytes": 355085,
-      "rows": 110,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000092-0000-b25963085a039248.parquet",
-      "sha256": "b25963085a039248b37870c93a0576c19b278b056012437c24b37b9b9a9f5a43",
-      "bytes": 36648,
-      "rows": 4,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000092-0000-3a07544e05ea34e0.parquet",
-      "sha256": "3a07544e05ea34e09550b31d636571d04ddfb775417e10d5d34a7fca818af33c",
-      "bytes": 53589,
-      "rows": 11,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4624",
     "deepseek:thm_4625",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004647.lean\",\"bede4ed6408de6b28a0236ca7bd96503f1e4384cd3dc56412f05cb7a892d13d2\",0,\"thm_4671\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004648.lean\",\"b630104843a2b9571a643dfab3c278e0102aca97223ef1f440699a0c2b480543\",0,\"thm_4672\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004649.lean\",\"2c3065a4c71788217d0992acc6863bb3c7930a82f306c7ccf1b93932dad310f2\",0,\"thm_4673\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355085,
+      "path": "data/train/p8e/deepseek-000092-0000-1625e7ac3039805a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "1625e7ac3039805a84791882d2b6c8d1fcdb1b472833160b8c393546fe29f5d6"
+    },
+    {
+      "bytes": 36648,
+      "path": "data/dev/p8e/deepseek-000092-0000-b25963085a039248.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b25963085a039248b37870c93a0576c19b278b056012437c24b37b9b9a9f5a43"
+    },
+    {
+      "bytes": 53589,
+      "path": "data/internal_test/p8e/deepseek-000092-0000-3a07544e05ea34e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3a07544e05ea34e09550b31d636571d04ddfb775417e10d5d34a7fca818af33c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000093.json b/manifests/batches/deepseek/000093.json
index a1440f7109be4af0d171d98d27cd93fa1b6d25db..07a22f23b95e1500c6e8e659e207555005575241 100644
--- a/manifests/batches/deepseek/000093.json
+++ b/manifests/batches/deepseek/000093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000093",
   "batch_fingerprint": "ecd2a8a1b47f5018d92f5f5a6d9e1f01bcd4ee02f4fa7e29150356ec9dc1994d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000093-0000-39c5cd02111cae9b.parquet",
-      "sha256": "39c5cd02111cae9b3aa977fb8424f127307b0b628bdc5dc9336185725c8f66bb",
-      "bytes": 283650,
-      "rows": 95,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/deepseek-000093-0000-f36620a1aaad63ba.parquet",
-      "sha256": "f36620a1aaad63bab217cda11e45250d81b23f3803c4587e897ea51bfca87a34",
-      "bytes": 65174,
-      "rows": 12,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000093-0000-849dbd0d3eb86a64.parquet",
-      "sha256": "849dbd0d3eb86a64e0f19cf02e726e79f3f91ce99fe8593ef4685213e6e649f5",
-      "bytes": 38211,
-      "rows": 6,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4674",
     "deepseek:thm_4675",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004697.lean\",\"a5580906f448762e3d709fccd025f77aca4113956d1144774033e937a737b7fc\",0,\"thm_4721\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004698.lean\",\"4029f775d609c5b9e91da9a5be0bf69b8662610c6a9ea94c8c6b7b9008652380\",0,\"thm_4722\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004699.lean\",\"f98c6a70aeb4beeb73477f6a99a3926fd3b303b881cbd210a6f9c922e98c9727\",0,\"thm_4723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283650,
+      "path": "data/train/p1e/deepseek-000093-0000-39c5cd02111cae9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "39c5cd02111cae9b3aa977fb8424f127307b0b628bdc5dc9336185725c8f66bb"
+    },
+    {
+      "bytes": 65174,
+      "path": "data/dev/p1e/deepseek-000093-0000-f36620a1aaad63ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f36620a1aaad63bab217cda11e45250d81b23f3803c4587e897ea51bfca87a34"
+    },
+    {
+      "bytes": 38211,
+      "path": "data/internal_test/p1e/deepseek-000093-0000-849dbd0d3eb86a64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "849dbd0d3eb86a64e0f19cf02e726e79f3f91ce99fe8593ef4685213e6e649f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000094.json b/manifests/batches/deepseek/000094.json
index e0b58d54eef2f5266ab0d26e71b4969158a1b2c8..63523ed740ee9bb9721707210a4a82b1918e2835 100644
--- a/manifests/batches/deepseek/000094.json
+++ b/manifests/batches/deepseek/000094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000094",
   "batch_fingerprint": "dc6286a95ae42579fe81db926972b02773c4b849b51084d9f6a79cf946c7bc8c",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000094-0000-7ac275ae088098cc.parquet",
-      "sha256": "7ac275ae088098ccd49ba2d54136a1d8cd0ff32a330e524b6b9f7aa06d444d86",
-      "bytes": 370516,
-      "rows": 101,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/deepseek-000094-0000-bb1a36b98dfb467b.parquet",
-      "sha256": "bb1a36b98dfb467b771ca4c5fd0e90237387be6f0aa7a07774a84784c223ae6f",
-      "bytes": 39081,
-      "rows": 5,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/deepseek-000094-0000-2f4b2d5cb58f24ac.parquet",
-      "sha256": "2f4b2d5cb58f24ac3a054c2d8eb89ac451ee3284daa884e971ff6e81e91d60e4",
-      "bytes": 58717,
-      "rows": 10,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4724",
     "deepseek:thm_4725",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004747.lean\",\"3c3a362200b500160978ca7cae471821ffaa776a52750759f9fbbae44ec07608\",0,\"thm_4771\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004748.lean\",\"4c963167c25720483ede27a84c2bdd1b3621358273a9b0ac5e4f8fc67a4031f9\",0,\"thm_4772\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004749.lean\",\"a23cb23a491bae3564d2637035d71364406d9048ba3669cd355179f37826476b\",0,\"thm_4773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370516,
+      "path": "data/train/p0e/deepseek-000094-0000-7ac275ae088098cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "7ac275ae088098ccd49ba2d54136a1d8cd0ff32a330e524b6b9f7aa06d444d86"
+    },
+    {
+      "bytes": 39081,
+      "path": "data/dev/p0e/deepseek-000094-0000-bb1a36b98dfb467b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bb1a36b98dfb467b771ca4c5fd0e90237387be6f0aa7a07774a84784c223ae6f"
+    },
+    {
+      "bytes": 58717,
+      "path": "data/internal_test/p0e/deepseek-000094-0000-2f4b2d5cb58f24ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2f4b2d5cb58f24ac3a054c2d8eb89ac451ee3284daa884e971ff6e81e91d60e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000095.json b/manifests/batches/deepseek/000095.json
index bf6bf66092c082845274dcfa69f28c50db4446aa..0d23aed41df204e5a4d8995d5b72633a7442be9e 100644
--- a/manifests/batches/deepseek/000095.json
+++ b/manifests/batches/deepseek/000095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000095",
   "batch_fingerprint": "fc0f51cd5831b8514a5e083ade07f9eee2fb6fcbc93571fd1c22a796341c7437",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000095-0000-0778aa892cedc69e.parquet",
-      "sha256": "0778aa892cedc69e9876cb116b87cfa833ca71aecd5d0bdd84fad691e1ee4ea8",
-      "bytes": 339720,
-      "rows": 111,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000095-0000-f8b463667fd90616.parquet",
-      "sha256": "f8b463667fd90616bfeaecb087294a4ba5d53114698f3e90014131d32b04672c",
-      "bytes": 36024,
-      "rows": 5,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000095-0000-970efc1bcaa4700d.parquet",
-      "sha256": "970efc1bcaa4700d43dd82ac478cf76f744e433d7cd6fc53cd6316b195fcbb9c",
-      "bytes": 35900,
-      "rows": 4,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4774",
     "deepseek:thm_4775",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004797.lean\",\"090aecd50d6b0208f3660b248b402ab0583cc8de72af1580802f063edd53550d\",0,\"thm_4821\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004798.lean\",\"88621c9bc4c92d9b68dc38a25eb1294203ba05178503ff4902db83435f316241\",0,\"thm_4822\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004799.lean\",\"841d2e8f05b3fd13076bac364c74da04c50411f6d67e465de67d8910b9a33e00\",0,\"thm_4823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339720,
+      "path": "data/train/pb5/deepseek-000095-0000-0778aa892cedc69e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "0778aa892cedc69e9876cb116b87cfa833ca71aecd5d0bdd84fad691e1ee4ea8"
+    },
+    {
+      "bytes": 36024,
+      "path": "data/dev/pb5/deepseek-000095-0000-f8b463667fd90616.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f8b463667fd90616bfeaecb087294a4ba5d53114698f3e90014131d32b04672c"
+    },
+    {
+      "bytes": 35900,
+      "path": "data/internal_test/pb5/deepseek-000095-0000-970efc1bcaa4700d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "970efc1bcaa4700d43dd82ac478cf76f744e433d7cd6fc53cd6316b195fcbb9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000096.json b/manifests/batches/deepseek/000096.json
index 4e9f38d8a83f36af3d9c24ae710fd0642ba89009..3b92519ce7f72142ea97e055998b1af345a1102f 100644
--- a/manifests/batches/deepseek/000096.json
+++ b/manifests/batches/deepseek/000096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000096",
   "batch_fingerprint": "ffe4420018bfc0e5a23d815316a103741c952c451f56bf92d137a24f211772e2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000096-0000-5f65c8af6e2cd6d3.parquet",
-      "sha256": "5f65c8af6e2cd6d3f5364abc0e7ad3c5c21077f567ef0610acd44d754625e593",
-      "bytes": 317055,
-      "rows": 88,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/dev/deepseek-000096-0000-a2fca900efee0d2b.parquet",
-      "sha256": "a2fca900efee0d2b88ee6f345792bcffc08c8edf3fec19da2469325e7bd670d4",
-      "bytes": 52037,
-      "rows": 13,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    },
-    {
-      "path": "data/internal_test/deepseek-000096-0000-fab3e8a77d2650e2.parquet",
-      "sha256": "fab3e8a77d2650e2f1e8a7f79591c91861bca23733cf100a6d1bb7b89ef0b526",
-      "bytes": 39522,
-      "rows": 4,
-      "revision": "7a7725760d08c116ab37fc45366b531464a0bd39"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4824",
     "deepseek:thm_4825",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004847.lean\",\"de7c7710295fc755cf52938074783788374602dcb2161ec4ed6f41498cffb372\",0,\"thm_4871\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004848.lean\",\"12e97e2635d77aeb1c3e0b219d2c8bb7afd8092643269a5f79e9375301da489a\",0,\"thm_4872\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004849.lean\",\"f9c61ef68d7924db6790bdf8a42b2f849595f1223f8a7002a2f971b08ef04f53\",0,\"thm_4873\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317055,
+      "path": "data/train/p5e/deepseek-000096-0000-5f65c8af6e2cd6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "5f65c8af6e2cd6d3f5364abc0e7ad3c5c21077f567ef0610acd44d754625e593"
+    },
+    {
+      "bytes": 52037,
+      "path": "data/dev/p5e/deepseek-000096-0000-a2fca900efee0d2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a2fca900efee0d2b88ee6f345792bcffc08c8edf3fec19da2469325e7bd670d4"
+    },
+    {
+      "bytes": 39522,
+      "path": "data/internal_test/p5e/deepseek-000096-0000-fab3e8a77d2650e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fab3e8a77d2650e2f1e8a7f79591c91861bca23733cf100a6d1bb7b89ef0b526"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000097.json b/manifests/batches/deepseek/000097.json
index 673509b6feb7a46e53a2d9fd9e94301e87e17604..07ab555bdc0a14806d3881c4c053fa0caeaaea9b 100644
--- a/manifests/batches/deepseek/000097.json
+++ b/manifests/batches/deepseek/000097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000097",
   "batch_fingerprint": "d00fe720597a7d29439c85d50ad4b5d3c17182f4a94aeba6009a55c853825bf5",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000097-0000-5152749eb647dd40.parquet",
-      "sha256": "5152749eb647dd40f9033fdfc8ea09befe5ef86fb568dca8fff9711a1e0cc3dd",
-      "bytes": 327133,
-      "rows": 104,
-      "revision": "c079f9e37c0d959cd034520e84df5b9dcd5f3db5"
-    },
-    {
-      "path": "data/dev/deepseek-000097-0000-af50bc984b1925b7.parquet",
-      "sha256": "af50bc984b1925b73f0dfe8c51f7277128b1e6607a34af5b362e406007f0d166",
-      "bytes": 26301,
-      "rows": 2,
-      "revision": "c079f9e37c0d959cd034520e84df5b9dcd5f3db5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000097-0000-75891239c2bb6078.parquet",
-      "sha256": "75891239c2bb6078beb75d5cbdebd7e3c1b93c209ee0882e648d4eef7bdbb3e9",
-      "bytes": 40539,
-      "rows": 7,
-      "revision": "c079f9e37c0d959cd034520e84df5b9dcd5f3db5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4874",
     "deepseek:thm_4875",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004897.lean\",\"f631366491e1f0933a87b6e9d3e4645d9451b1e32458f21e4f4328b70a93f0c9\",0,\"thm_4921\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004898.lean\",\"be6ccb498238c0c09e49700b28260658bf1926da7dacfaaa442ee6cb240c3ed4\",0,\"thm_4922\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004899.lean\",\"099f8b6853fd52771ba649a524b52bd73ab64024b52c1af53f24d89e14d5d41d\",0,\"thm_4923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327133,
+      "path": "data/train/p02/deepseek-000097-0000-5152749eb647dd40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "5152749eb647dd40f9033fdfc8ea09befe5ef86fb568dca8fff9711a1e0cc3dd"
+    },
+    {
+      "bytes": 26301,
+      "path": "data/dev/p02/deepseek-000097-0000-af50bc984b1925b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "af50bc984b1925b73f0dfe8c51f7277128b1e6607a34af5b362e406007f0d166"
+    },
+    {
+      "bytes": 40539,
+      "path": "data/internal_test/p02/deepseek-000097-0000-75891239c2bb6078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "75891239c2bb6078beb75d5cbdebd7e3c1b93c209ee0882e648d4eef7bdbb3e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000098.json b/manifests/batches/deepseek/000098.json
index ad67d289696ef7219eb705235df7f3739b0815a5..2289f5f844fafe6d4a9f1b2edf1fc627fa52f424 100644
--- a/manifests/batches/deepseek/000098.json
+++ b/manifests/batches/deepseek/000098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000098",
   "batch_fingerprint": "e0dd21ef4044b9aa23bf7a87fb50ac5cddf4141b4a39a2420dc3d58a94266749",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000098-0000-8d47287febde307f.parquet",
-      "sha256": "8d47287febde307fa9a4cc2c7f03f20a02380fd5a2bde7a719bbe04f1843a6e0",
-      "bytes": 357333,
-      "rows": 104,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000098-0000-7c7fac3858a2de19.parquet",
-      "sha256": "7c7fac3858a2de19f87f279d62c8f9282e62c14384ec4f8567d55faeb0c4fe88",
-      "bytes": 39816,
-      "rows": 7,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000098-0000-f13ffdc73000e8b3.parquet",
-      "sha256": "f13ffdc73000e8b33496990c005f20835310e85182e2e46aea4f7d7b2680a5d4",
-      "bytes": 39083,
-      "rows": 3,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4924",
     "deepseek:thm_4925",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004947.lean\",\"2dc1cfd830d494c3db0dafb358b3ef7a248bded0ac9adb4a67ec652aa34c0b77\",0,\"thm_4971\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004948.lean\",\"ba4df0c37516074a3b9a126e3548c9259a07a11c0cc49cc03f72886daf4417f1\",0,\"thm_4972\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004949.lean\",\"426cbd2d7c90587a131637b18888def347fca9ac0d21916d73cbf58e453e90ef\",0,\"thm_4973\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357333,
+      "path": "data/train/ped/deepseek-000098-0000-8d47287febde307f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "8d47287febde307fa9a4cc2c7f03f20a02380fd5a2bde7a719bbe04f1843a6e0"
+    },
+    {
+      "bytes": 39816,
+      "path": "data/dev/ped/deepseek-000098-0000-7c7fac3858a2de19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7c7fac3858a2de19f87f279d62c8f9282e62c14384ec4f8567d55faeb0c4fe88"
+    },
+    {
+      "bytes": 39083,
+      "path": "data/internal_test/ped/deepseek-000098-0000-f13ffdc73000e8b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f13ffdc73000e8b33496990c005f20835310e85182e2e46aea4f7d7b2680a5d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000099.json b/manifests/batches/deepseek/000099.json
index d9066dcc08f5d77492317ddd8bf755f9487bb5ae..2030aacfc2398b0df14eeb43df98264322688528 100644
--- a/manifests/batches/deepseek/000099.json
+++ b/manifests/batches/deepseek/000099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000099",
   "batch_fingerprint": "747e17ae9cd433434fb5b9e0c6ff33d7857a04cfb54ba7743bc62a7b34b44bcb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000099-0000-c5245938f41d9aaf.parquet",
-      "sha256": "c5245938f41d9aaff0ed5b872276763d1273ab79f7d830c5e7a58001d5c22be8",
-      "bytes": 259486,
-      "rows": 83,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000099-0000-2942ff7576814b78.parquet",
-      "sha256": "2942ff7576814b781321071c824d5b22555267065254eb71d2948dfa5169010c",
-      "bytes": 67679,
-      "rows": 12,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000099-0000-4f714879cfc2325c.parquet",
-      "sha256": "4f714879cfc2325c353f157f51e8bfbb4648237b623d4e8193ea05e7b1c2ef57",
-      "bytes": 81117,
-      "rows": 21,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_4974",
     "deepseek:thm_4975",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004997.lean\",\"94eac67b030af5b5781699dee9433e949ae1641cfd2330ecb526c3b50501d97f\",0,\"thm_5021\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004998.lean\",\"938bfa4cf2d00151f1e7088de471e144f40b4eb2d342fa07c19ca38b27bd8696\",0,\"thm_5022\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_004999.lean\",\"0f53693cd9574b842bca6a7bfd6a89aacd4f0942bba12844f68736c23d2e2da7\",0,\"thm_5023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259486,
+      "path": "data/train/p65/deepseek-000099-0000-c5245938f41d9aaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 83,
+      "sha256": "c5245938f41d9aaff0ed5b872276763d1273ab79f7d830c5e7a58001d5c22be8"
+    },
+    {
+      "bytes": 67679,
+      "path": "data/dev/p65/deepseek-000099-0000-2942ff7576814b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2942ff7576814b781321071c824d5b22555267065254eb71d2948dfa5169010c"
+    },
+    {
+      "bytes": 81117,
+      "path": "data/internal_test/p65/deepseek-000099-0000-4f714879cfc2325c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4f714879cfc2325c353f157f51e8bfbb4648237b623d4e8193ea05e7b1c2ef57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000100.json b/manifests/batches/deepseek/000100.json
index 90e0a5d8a208d4362f7da78cd0a620ba6af77344..5549c468173bc602cbf99f60e3a3bf9f120dd4d3 100644
--- a/manifests/batches/deepseek/000100.json
+++ b/manifests/batches/deepseek/000100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000100",
   "batch_fingerprint": "487c10fae26d6700accce020606188d7bb7ca24e186bb16000008b63cf0fc04e",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000100-0000-04f48e61bfa8e791.parquet",
-      "sha256": "04f48e61bfa8e791a1dcb096b9443a8a96cc41120b4b654e33e5dcf7b16a488e",
-      "bytes": 367701,
-      "rows": 109,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000100-0000-5acc906ee95369b1.parquet",
-      "sha256": "5acc906ee95369b1fd4814870b029571ebe772718c39f0581701ea1fc7e7c979",
-      "bytes": 36874,
-      "rows": 4,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000100-0000-5cd914cead527cb9.parquet",
-      "sha256": "5cd914cead527cb9be76d8c84fafd6e869a1161c93be9ea7f888c911ac394feb",
-      "bytes": 41608,
-      "rows": 4,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5024",
     "deepseek:thm_5025",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005047.lean\",\"a20b9886d2493cb01b30ecb77658cc0613617339579f298fea339314fc36eca9\",0,\"thm_5071\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005048.lean\",\"f8c525c7facab3364a4b345cddb50865200168ae7d636d67ec2eed14102343a4\",0,\"thm_5072\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005049.lean\",\"141ce549154dfd13522585e0cff2495e6cb529b76764ae6fd5effbd6f6a2b8fe\",0,\"thm_5073\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367701,
+      "path": "data/train/pe8/deepseek-000100-0000-04f48e61bfa8e791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "04f48e61bfa8e791a1dcb096b9443a8a96cc41120b4b654e33e5dcf7b16a488e"
+    },
+    {
+      "bytes": 36874,
+      "path": "data/dev/pe8/deepseek-000100-0000-5acc906ee95369b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5acc906ee95369b1fd4814870b029571ebe772718c39f0581701ea1fc7e7c979"
+    },
+    {
+      "bytes": 41608,
+      "path": "data/internal_test/pe8/deepseek-000100-0000-5cd914cead527cb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5cd914cead527cb9be76d8c84fafd6e869a1161c93be9ea7f888c911ac394feb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000101.json b/manifests/batches/deepseek/000101.json
index 1604748a8c4c037ebbf376255ebb790a3943c211..b742bbd48f8fa834433906d02da347a30c91ac03 100644
--- a/manifests/batches/deepseek/000101.json
+++ b/manifests/batches/deepseek/000101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000101",
   "batch_fingerprint": "be12951b833805c41dbbeae6904f6e2b41237bd700e717588148259166ec4ebe",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000101-0000-627cb9d0dff9f224.parquet",
-      "sha256": "627cb9d0dff9f2245195603298e6b0a6a9bbe9b4a39e0f99fc56cac10a5c3e75",
-      "bytes": 366950,
-      "rows": 108,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/dev/deepseek-000101-0000-8894a8899d45f83a.parquet",
-      "sha256": "8894a8899d45f83ab2f8e098170db231506efc7dea5dbe2394aabab5b15f8d3d",
-      "bytes": 57337,
-      "rows": 7,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/deepseek-000101-0000-9730fd807e32c2fb.parquet",
-      "sha256": "9730fd807e32c2fbbd68e99ff4dccd1b335940b0b24dd1f96c5983db50c59d4c",
-      "bytes": 42050,
-      "rows": 2,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5074",
     "deepseek:thm_5075",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005097.lean\",\"a83f0bdc9b763418d83d9d6e870eed36cf29b6dc97814b0b38dee5fc77b2115b\",0,\"thm_5121\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005098.lean\",\"aa915a9fa429ecfba78e7a92cf440e9668225006475d3017188243e9a500ae45\",0,\"thm_5122\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005099.lean\",\"9838e86c97fbebf1a28a06671bfd407d0741f120558a8e4e01c4fc1f255e3e81\",0,\"thm_5123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366950,
+      "path": "data/train/p1c/deepseek-000101-0000-627cb9d0dff9f224.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "627cb9d0dff9f2245195603298e6b0a6a9bbe9b4a39e0f99fc56cac10a5c3e75"
+    },
+    {
+      "bytes": 57337,
+      "path": "data/dev/p1c/deepseek-000101-0000-8894a8899d45f83a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8894a8899d45f83ab2f8e098170db231506efc7dea5dbe2394aabab5b15f8d3d"
+    },
+    {
+      "bytes": 42050,
+      "path": "data/internal_test/p1c/deepseek-000101-0000-9730fd807e32c2fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9730fd807e32c2fbbd68e99ff4dccd1b335940b0b24dd1f96c5983db50c59d4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000102.json b/manifests/batches/deepseek/000102.json
index b714b555aefbc610448379956be396cca47ca21b..102026744b57397644107e4f31f636c7a56c903a 100644
--- a/manifests/batches/deepseek/000102.json
+++ b/manifests/batches/deepseek/000102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000102",
   "batch_fingerprint": "15d2a32ebee2becd1c4e37313abed63a1e1b1f06c9f1d29845270ce4465671ea",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000102-0000-43354bfbfa294f5a.parquet",
-      "sha256": "43354bfbfa294f5ad866ca72d8cf99c229908326876550e9bbe4936224832dd3",
-      "bytes": 292949,
-      "rows": 95,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/dev/deepseek-000102-0000-4b37693863cc86a7.parquet",
-      "sha256": "4b37693863cc86a7dbffe2f0925afb16819a056e720e8e98d91c2a9f8049aa51",
-      "bytes": 25837,
-      "rows": 2,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/deepseek-000102-0000-f5d01236d09d02dc.parquet",
-      "sha256": "f5d01236d09d02dc025d5451d8e6a864d754ec2b902b93a760b4f727b7590ef5",
-      "bytes": 72980,
-      "rows": 18,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5124",
     "deepseek:thm_5125",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005147.lean\",\"9fc999c50b3ecac3d3bb61afdb45544e40935cf5d22586446e62cbd8525aafa5\",0,\"thm_5171\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005148.lean\",\"6971264d18bc09ddd697e23a8517c72630f63770b0092ff159f58530c8e97972\",0,\"thm_5172\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005149.lean\",\"0124a17798a261703ff22a38885dfadcf41154ccdbafb9d0227318d622b0de01\",0,\"thm_5173\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292949,
+      "path": "data/train/pa4/deepseek-000102-0000-43354bfbfa294f5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "43354bfbfa294f5ad866ca72d8cf99c229908326876550e9bbe4936224832dd3"
+    },
+    {
+      "bytes": 25837,
+      "path": "data/dev/pa4/deepseek-000102-0000-4b37693863cc86a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4b37693863cc86a7dbffe2f0925afb16819a056e720e8e98d91c2a9f8049aa51"
+    },
+    {
+      "bytes": 72980,
+      "path": "data/internal_test/pa4/deepseek-000102-0000-f5d01236d09d02dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f5d01236d09d02dc025d5451d8e6a864d754ec2b902b93a760b4f727b7590ef5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000103.json b/manifests/batches/deepseek/000103.json
index 1b24a340ce5091480dc7341169218a2253f35772..e3cc9b50657884945bdc1255de16e0507e96decc 100644
--- a/manifests/batches/deepseek/000103.json
+++ b/manifests/batches/deepseek/000103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000103",
   "batch_fingerprint": "b2ac9036b5a3528f37fc3b1ef251af2319c7bcb4ca5a3b9be1d89814ca49ccf4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000103-0000-c141043d8395ad3a.parquet",
-      "sha256": "c141043d8395ad3ad320af8b4639797e8bc9be165ec95a194a139a7fa542c39e",
-      "bytes": 260097,
-      "rows": 89,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000103-0000-2861d065ef3086bf.parquet",
-      "sha256": "2861d065ef3086bfc940c30582f1d178119b8e6d4b7fb459a182eafae51db0b1",
-      "bytes": 34113,
-      "rows": 4,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000103-0000-8b9a55f875531999.parquet",
-      "sha256": "8b9a55f875531999585940c1138ff8b8257a8f73dcecdf59fb231926670d27fb",
-      "bytes": 55436,
-      "rows": 9,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5174",
     "deepseek:thm_5175",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005197.lean\",\"39edae1f7322ea62ed7106cc09ab5d3df4368dd5867b838d9523214d56d85935\",0,\"thm_5221\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005198.lean\",\"fcde09b5795a4dd5eef90b44feb459c7f98f6638644007d34a983d32a90f9b32\",0,\"thm_5222\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005199.lean\",\"e4decbe51965a4aea5d0e8c78cc2b24e22a2e74999e3cbfd1c9ec0dd4abb768e\",0,\"thm_5223\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260097,
+      "path": "data/train/p27/deepseek-000103-0000-c141043d8395ad3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "c141043d8395ad3ad320af8b4639797e8bc9be165ec95a194a139a7fa542c39e"
+    },
+    {
+      "bytes": 34113,
+      "path": "data/dev/p27/deepseek-000103-0000-2861d065ef3086bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2861d065ef3086bfc940c30582f1d178119b8e6d4b7fb459a182eafae51db0b1"
+    },
+    {
+      "bytes": 55436,
+      "path": "data/internal_test/p27/deepseek-000103-0000-8b9a55f875531999.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8b9a55f875531999585940c1138ff8b8257a8f73dcecdf59fb231926670d27fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000104.json b/manifests/batches/deepseek/000104.json
index 965a1d3a890f8c85f14a396a378fd8dadc52bb2f..f9a0a6382599a7ead6aafe86683049acbc00a695 100644
--- a/manifests/batches/deepseek/000104.json
+++ b/manifests/batches/deepseek/000104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000104",
   "batch_fingerprint": "da234489bdcc5254a975a8ba17ed3e88ed61709ac3a47e124c6c07a9445c1ff9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000104-0000-1bb0406c5bc58ee7.parquet",
-      "sha256": "1bb0406c5bc58ee7c4a435bf98b605b92fd4445ede1f7c8c674883594ec5b82f",
-      "bytes": 281278,
-      "rows": 82,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000104-0000-8880d64eea40f50c.parquet",
-      "sha256": "8880d64eea40f50cb2c40169b5da1c2216624eef0b767ce75e326352aac3502c",
-      "bytes": 53738,
-      "rows": 9,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000104-0000-1d40513f9bdafe5b.parquet",
-      "sha256": "1d40513f9bdafe5b365fdb301dec1852b1bd7bbdabbd03975ffc3e4875123394",
-      "bytes": 101765,
-      "rows": 17,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5224",
     "deepseek:thm_5225",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005247.lean\",\"ea7ebfc4dd2c32b63aa1025cd0dd11727e1cc12112f55608bfb55cf35a02855f\",0,\"thm_5271\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005248.lean\",\"b5f03bd7c404a190ec10af292f8d029c109f7649deae7494e98787adfe1a3993\",0,\"thm_5272\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005249.lean\",\"510c8c0afc25c855a22a615f2a67f9d4c22fe514a3b0ea39f437ff12d4877b76\",0,\"thm_5273\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281278,
+      "path": "data/train/p2f/deepseek-000104-0000-1bb0406c5bc58ee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "1bb0406c5bc58ee7c4a435bf98b605b92fd4445ede1f7c8c674883594ec5b82f"
+    },
+    {
+      "bytes": 53738,
+      "path": "data/dev/p2f/deepseek-000104-0000-8880d64eea40f50c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8880d64eea40f50cb2c40169b5da1c2216624eef0b767ce75e326352aac3502c"
+    },
+    {
+      "bytes": 101765,
+      "path": "data/internal_test/p2f/deepseek-000104-0000-1d40513f9bdafe5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1d40513f9bdafe5b365fdb301dec1852b1bd7bbdabbd03975ffc3e4875123394"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000105.json b/manifests/batches/deepseek/000105.json
index d3b405b70188bfe83270e0fef54fad4a9376041c..d18528699558554d55ee4911afe9218cf3719970 100644
--- a/manifests/batches/deepseek/000105.json
+++ b/manifests/batches/deepseek/000105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000105",
   "batch_fingerprint": "68fa92c1347fb3b8f062bf3b2df704fbf7d75d41dccf664fbc382ffbfb318c7d",
   "evidence": {
@@ -74,29 +73,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000105-0000-45cd6746a14da4ca.parquet",
-      "sha256": "45cd6746a14da4cacbd6ee881e29f59e7207303f060b597e4afc9de138947bf0",
-      "bytes": 313945,
-      "rows": 100,
-      "revision": "85aeda08d0709e031663ee6393e3cd48aae591ae"
-    },
-    {
-      "path": "data/dev/deepseek-000105-0000-d8d808c44d512d4c.parquet",
-      "sha256": "d8d808c44d512d4c8c1e6be7de2d5bf5d21a3e93b82709bd64d83a824228bc31",
-      "bytes": 28218,
-      "rows": 2,
-      "revision": "85aeda08d0709e031663ee6393e3cd48aae591ae"
-    },
-    {
-      "path": "data/internal_test/deepseek-000105-0000-d2d2b44617f6946c.parquet",
-      "sha256": "d2d2b44617f6946ccfaf1189d10b39ed388053a92f0f009548f8195a18a77c2c",
-      "bytes": 52142,
-      "rows": 9,
-      "revision": "85aeda08d0709e031663ee6393e3cd48aae591ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5274",
     "deepseek:thm_5275",
@@ -194,5 +171,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005296.lean\",\"08f7a67da710ed96f05b4ee784bdc4eceee42fd3ab5aace2cdc34c41609ec26c\",0,\"thm_5321\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005297.lean\",\"2fa3e9ddc38045c206c470491cfe2b5ea737c0a950d9a4bcbbd185191d3ff869\",0,\"thm_5322\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005299.lean\",\"5ecd949cf65a79bc79093f69ff39fae2c97488e387a64680eaa2191bc05c1df5\",0,\"thm_5324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313945,
+      "path": "data/train/pf6/deepseek-000105-0000-45cd6746a14da4ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "45cd6746a14da4cacbd6ee881e29f59e7207303f060b597e4afc9de138947bf0"
+    },
+    {
+      "bytes": 28218,
+      "path": "data/dev/pf6/deepseek-000105-0000-d8d808c44d512d4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d8d808c44d512d4c8c1e6be7de2d5bf5d21a3e93b82709bd64d83a824228bc31"
+    },
+    {
+      "bytes": 52142,
+      "path": "data/internal_test/pf6/deepseek-000105-0000-d2d2b44617f6946c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d2d2b44617f6946ccfaf1189d10b39ed388053a92f0f009548f8195a18a77c2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000106.json b/manifests/batches/deepseek/000106.json
index 183748364f48fe8336f51ff24d5f28dad300e6db..2d9e08f874ae3020bc0f4f3325db7cce20fbdf89 100644
--- a/manifests/batches/deepseek/000106.json
+++ b/manifests/batches/deepseek/000106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000106",
   "batch_fingerprint": "6b8c9dd74fc3e4a3efbd4f7105f53e3a7aa33c10f8ae62a3012c32cfcc70c5d4",
   "evidence": {
@@ -75,29 +74,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000106-0000-d8a534ac0584ff0e.parquet",
-      "sha256": "d8a534ac0584ff0ed2345862b5dc90938f787adad08b84be37e4afda10e3e157",
-      "bytes": 307731,
-      "rows": 101,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/dev/deepseek-000106-0000-5264fad41c6560cd.parquet",
-      "sha256": "5264fad41c6560cd7d580cfc865130f43f1a4444e43efe6ab94294a28f9aa18f",
-      "bytes": 45222,
-      "rows": 7,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/deepseek-000106-0000-948bbdfacf16f798.parquet",
-      "sha256": "948bbdfacf16f798ccf30bbd05bdeff38e6a8a07124b5a7d6ee252285e32e440",
-      "bytes": 45762,
-      "rows": 9,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5326",
     "deepseek:thm_5327",
@@ -195,5 +172,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005347.lean\",\"27f267e842cca5effcc4465538877d683a6e4691c51473499ded8210c06c273f\",0,\"thm_5372\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005348.lean\",\"d7ee6afe1dd5a426b9f5fbbccd8ed6804a35ef9d806db060fc316eb4e51cd0d9\",0,\"thm_5373\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005349.lean\",\"e7591895eef0a88d00e964ba1955d14cbc8b2caf4a5d8e4d8482f09bfcacb79c\",0,\"thm_5374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307731,
+      "path": "data/train/p1c/deepseek-000106-0000-d8a534ac0584ff0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "d8a534ac0584ff0ed2345862b5dc90938f787adad08b84be37e4afda10e3e157"
+    },
+    {
+      "bytes": 45222,
+      "path": "data/dev/p1c/deepseek-000106-0000-5264fad41c6560cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5264fad41c6560cd7d580cfc865130f43f1a4444e43efe6ab94294a28f9aa18f"
+    },
+    {
+      "bytes": 45762,
+      "path": "data/internal_test/p1c/deepseek-000106-0000-948bbdfacf16f798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "948bbdfacf16f798ccf30bbd05bdeff38e6a8a07124b5a7d6ee252285e32e440"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000107.json b/manifests/batches/deepseek/000107.json
index 84231d0680b291688cdf39212e9dbdc5bdde3cb3..7abf49040bc313b309e032e954b32144a0f85118 100644
--- a/manifests/batches/deepseek/000107.json
+++ b/manifests/batches/deepseek/000107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000107",
   "batch_fingerprint": "c7233c37ae97b15272997901afcc43d23b75a7fc5ff6d9c599c1a11670a20188",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000107-0000-d40e0c81c4d0d35d.parquet",
-      "sha256": "d40e0c81c4d0d35d1da182b843c5a10dfe6433edcf80b6a2044805a6cde6420e",
-      "bytes": 300936,
-      "rows": 95,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000107-0000-78913950d5375ac5.parquet",
-      "sha256": "78913950d5375ac5556f4e8b5546b81b292a7de37e26c64a7d0b8321192344e2",
-      "bytes": 49024,
-      "rows": 6,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000107-0000-b9304747c6affc56.parquet",
-      "sha256": "b9304747c6affc56fc085d89db578b04f68ff8ae2a1c5a148b5d67e5ffdeb29f",
-      "bytes": 79781,
-      "rows": 18,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5375",
     "deepseek:thm_5376",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005397.lean\",\"fdc2228b96ef3ee9ee12468d7f74cd608476b7e85c6bf183c99904970df0f8f7\",0,\"thm_5422\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005398.lean\",\"b1efb9175bbc59415cbdcf19539cb762608598427c317450213f958a7283cb91\",0,\"thm_5423\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005399.lean\",\"9ecae7f093d75e1e76cfd28a3224760509402bf0d6c32d4726a33a2b7f9cf72c\",0,\"thm_5424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300936,
+      "path": "data/train/p50/deepseek-000107-0000-d40e0c81c4d0d35d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "d40e0c81c4d0d35d1da182b843c5a10dfe6433edcf80b6a2044805a6cde6420e"
+    },
+    {
+      "bytes": 49024,
+      "path": "data/dev/p50/deepseek-000107-0000-78913950d5375ac5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "78913950d5375ac5556f4e8b5546b81b292a7de37e26c64a7d0b8321192344e2"
+    },
+    {
+      "bytes": 79781,
+      "path": "data/internal_test/p50/deepseek-000107-0000-b9304747c6affc56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b9304747c6affc56fc085d89db578b04f68ff8ae2a1c5a148b5d67e5ffdeb29f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000108.json b/manifests/batches/deepseek/000108.json
index b4d171164479d816964e7e0f3769bfc82455fd8d..ad3906d09651e4ccb61a52c863f2568afb8fe401 100644
--- a/manifests/batches/deepseek/000108.json
+++ b/manifests/batches/deepseek/000108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000108",
   "batch_fingerprint": "8cec148acbb605504ceb6c6d4abf64b5e257043d95f812dea40a6d8ac2a19254",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000108-0000-e1ea08fecc153914.parquet",
-      "sha256": "e1ea08fecc153914f8c86ca82651deced4b7b8e6e86545e36bf97d2493788e4e",
-      "bytes": 348580,
-      "rows": 102,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000108-0000-7cfd579026bac8a7.parquet",
-      "sha256": "7cfd579026bac8a74ae267528b1f0a377dfe87a46decc8bb9f2fa221a2404721",
-      "bytes": 42421,
-      "rows": 7,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000108-0000-43634049ba3c489c.parquet",
-      "sha256": "43634049ba3c489c045597e194c9241bffe7dfb0adc95086bc1a5fe81d34a1df",
-      "bytes": 53375,
-      "rows": 4,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5425",
     "deepseek:thm_5426",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005447.lean\",\"dc07fdd49996de4cd3ba2432ca697ebbc842a7268a1778cff6d06223b1e55eba\",0,\"thm_5472\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005448.lean\",\"ace102f33d72cb47e476fb00cda58ee4e905698a4b7c356ea4d0e11b25dae423\",0,\"thm_5473\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005449.lean\",\"ad9c5013bfcf5353c3717febcc094bf59bb5d0f10e219eceabfb57299861a830\",0,\"thm_5474\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348580,
+      "path": "data/train/p1d/deepseek-000108-0000-e1ea08fecc153914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "e1ea08fecc153914f8c86ca82651deced4b7b8e6e86545e36bf97d2493788e4e"
+    },
+    {
+      "bytes": 42421,
+      "path": "data/dev/p1d/deepseek-000108-0000-7cfd579026bac8a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7cfd579026bac8a74ae267528b1f0a377dfe87a46decc8bb9f2fa221a2404721"
+    },
+    {
+      "bytes": 53375,
+      "path": "data/internal_test/p1d/deepseek-000108-0000-43634049ba3c489c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "43634049ba3c489c045597e194c9241bffe7dfb0adc95086bc1a5fe81d34a1df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000109.json b/manifests/batches/deepseek/000109.json
index 0bad348f96958d2f9440fc881beb01ef77d17e14..14e07efeb443c66f4a7a54366c71ad2174da8f52 100644
--- a/manifests/batches/deepseek/000109.json
+++ b/manifests/batches/deepseek/000109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000109",
   "batch_fingerprint": "f0faa6a8f32df7f6f4ba786f1e7e9bdd49253592c9aff96372e22e547b5a2c1a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000109-0000-fd5e0ad997c6c0f3.parquet",
-      "sha256": "fd5e0ad997c6c0f39eed47638b1d5702cbe9621d0c8dfd8dbd50959dd70a918f",
-      "bytes": 317280,
-      "rows": 90,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000109-0000-00deb6bdfe2a84c4.parquet",
-      "sha256": "00deb6bdfe2a84c47807bd6eb51a4eee40c7abbbf0912f61e7dad571dab0eec8",
-      "bytes": 42630,
-      "rows": 6,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000109-0000-c340f49247d3c881.parquet",
-      "sha256": "c340f49247d3c88184b94a523ec88f0f2f99f752951b355f5aa25391bc7b884b",
-      "bytes": 65193,
-      "rows": 19,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5475",
     "deepseek:thm_5476",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005497.lean\",\"ced25516f15f726f423cfcf8e25037f3269f93583febeb87b49605631b9d438d\",0,\"thm_5522\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005498.lean\",\"5f4cd8fc40e8dd258b81c4a087e4c0a4f69be76426960b0ef6c87a4c6aae5dd0\",0,\"thm_5523\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005499.lean\",\"d98b4b6208bb08cafd5134ddb97cf4da55b88c79c356abdfe54838a0bb0b2037\",0,\"thm_5524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317280,
+      "path": "data/train/pbd/deepseek-000109-0000-fd5e0ad997c6c0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "fd5e0ad997c6c0f39eed47638b1d5702cbe9621d0c8dfd8dbd50959dd70a918f"
+    },
+    {
+      "bytes": 42630,
+      "path": "data/dev/pbd/deepseek-000109-0000-00deb6bdfe2a84c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "00deb6bdfe2a84c47807bd6eb51a4eee40c7abbbf0912f61e7dad571dab0eec8"
+    },
+    {
+      "bytes": 65193,
+      "path": "data/internal_test/pbd/deepseek-000109-0000-c340f49247d3c881.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c340f49247d3c88184b94a523ec88f0f2f99f752951b355f5aa25391bc7b884b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000110.json b/manifests/batches/deepseek/000110.json
index 47a3871f50c0207da6f64e9cb7438a467f368a4f..e30c8daccb8bffa01075579fa7c5190e5119b005 100644
--- a/manifests/batches/deepseek/000110.json
+++ b/manifests/batches/deepseek/000110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000110",
   "batch_fingerprint": "82336d03530849fd4e6870088f0bc0a08a3c75381c7478451bcd65c6bb83da79",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000110-0000-22161a4ef0370105.parquet",
-      "sha256": "22161a4ef0370105e11543873e634823b3137a0544caf4e61bb36f5c348ad8ff",
-      "bytes": 306445,
-      "rows": 90,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/deepseek-000110-0000-e9f4c927c35fe8d0.parquet",
-      "sha256": "e9f4c927c35fe8d097ccb338af7909a95e6f7c60884f643d0c49ad441f824e84",
-      "bytes": 57779,
-      "rows": 12,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000110-0000-18e2b5fd69e019f7.parquet",
-      "sha256": "18e2b5fd69e019f78735f7d9b7c6c7b0e35b5734700526dcd272cd9a7bd1d69e",
-      "bytes": 64173,
-      "rows": 12,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5525",
     "deepseek:thm_5526",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005547.lean\",\"90456a4f1bec0fc73b86572ee37cad8ac3c129b71091eaa0b679740a891eee8a\",0,\"thm_5572\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005548.lean\",\"5d822ec501f01402fd7d697061a5e4c80e92bb54d37b5b29b68a25efb89bc1e9\",0,\"thm_5573\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005549.lean\",\"3bac5b32ef3eff3006869cc26f69623994c617a43b35686b1450da1052eb8737\",0,\"thm_5574\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306445,
+      "path": "data/train/pbc/deepseek-000110-0000-22161a4ef0370105.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "22161a4ef0370105e11543873e634823b3137a0544caf4e61bb36f5c348ad8ff"
+    },
+    {
+      "bytes": 57779,
+      "path": "data/dev/pbc/deepseek-000110-0000-e9f4c927c35fe8d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e9f4c927c35fe8d097ccb338af7909a95e6f7c60884f643d0c49ad441f824e84"
+    },
+    {
+      "bytes": 64173,
+      "path": "data/internal_test/pbc/deepseek-000110-0000-18e2b5fd69e019f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "18e2b5fd69e019f78735f7d9b7c6c7b0e35b5734700526dcd272cd9a7bd1d69e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000111.json b/manifests/batches/deepseek/000111.json
index 0af9a43d104c68090f069469478a74fd53945c74..741c2c7711fa8fd25f2971cc576e439aa5a7ba91 100644
--- a/manifests/batches/deepseek/000111.json
+++ b/manifests/batches/deepseek/000111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000111",
   "batch_fingerprint": "66d599def05a2b3734ac2cb2a66955a43516f6d02b2ccbcfc4408d66ee045d54",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000111-0000-29fcd0ac1be0e213.parquet",
-      "sha256": "29fcd0ac1be0e2133d14669014a25198fe29f444241843006f30b7143da9973d",
-      "bytes": 293975,
-      "rows": 91,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/deepseek-000111-0000-19467d944b46b0e4.parquet",
-      "sha256": "19467d944b46b0e4c00bacbf1914fa8934f0b98d8b488a5a9d8c37badbba1240",
-      "bytes": 48331,
-      "rows": 13,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/deepseek-000111-0000-fb9509bd59525019.parquet",
-      "sha256": "fb9509bd595250191036bcaf8dd38b5e894a64399c934630dc004946f3bb25f0",
-      "bytes": 66056,
-      "rows": 13,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5575",
     "deepseek:thm_5576",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005597.lean\",\"ef978bf8ed66759787a9a19eae6ee899b3fb4c8293f08d3776395e2c4348a83c\",0,\"thm_5622\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005598.lean\",\"ab1a2aba8f7173b90d34f637d065e76fb3a87966b4513535d1a70b5b4b2fac3c\",0,\"thm_5623\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005599.lean\",\"9d3068f5f1dc8a1844a740eba660a8c3ca8398af9716998c2fd92973207dcdcd\",0,\"thm_5624\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293975,
+      "path": "data/train/p12/deepseek-000111-0000-29fcd0ac1be0e213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "29fcd0ac1be0e2133d14669014a25198fe29f444241843006f30b7143da9973d"
+    },
+    {
+      "bytes": 48331,
+      "path": "data/dev/p12/deepseek-000111-0000-19467d944b46b0e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "19467d944b46b0e4c00bacbf1914fa8934f0b98d8b488a5a9d8c37badbba1240"
+    },
+    {
+      "bytes": 66056,
+      "path": "data/internal_test/p12/deepseek-000111-0000-fb9509bd59525019.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fb9509bd595250191036bcaf8dd38b5e894a64399c934630dc004946f3bb25f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000112.json b/manifests/batches/deepseek/000112.json
index 00fa3e6b1144ca9d28fe8b3be7d7c21ba6606e78..275eba32a35265b4844715307778a3c8bacec253 100644
--- a/manifests/batches/deepseek/000112.json
+++ b/manifests/batches/deepseek/000112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000112",
   "batch_fingerprint": "5fb0bbd197deac16d96e6c8ae61ddc99b122873dd8372c0457b8d8ebce821ad9",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000112-0000-eeee641791c63ae7.parquet",
-      "sha256": "eeee641791c63ae7a18c0d7231f7690241f19537e146b6dc6014d98ad816bf3f",
-      "bytes": 285305,
-      "rows": 95,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/deepseek-000112-0000-4c64325056b5e624.parquet",
-      "sha256": "4c64325056b5e6240318ae87d43faa8f07c478ec1d841e53bc8bc5d5e1f018a6",
-      "bytes": 68243,
-      "rows": 16,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000112-0000-86bfecf44d89877f.parquet",
-      "sha256": "86bfecf44d89877f08e5557913b0ef7f661be81541b30029ce273cb636542cb2",
-      "bytes": 46954,
-      "rows": 5,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5625",
     "deepseek:thm_5627",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005647.lean\",\"5a7a8e22e24e1fefc3be00e3dbbcba947e35dcb23f32e0d721d4a49d112f8c31\",0,\"thm_5672\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005648.lean\",\"d8f0db7cdb370c711bfe7fc939e239b4915ea3a22b0689d270f7a05b70d86803\",0,\"thm_5673\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005649.lean\",\"032cb2071ab5a17de63bbc58175cbed91a1fb0b9c028295be6f740d16171ba39\",0,\"thm_5674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285305,
+      "path": "data/train/pc3/deepseek-000112-0000-eeee641791c63ae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "eeee641791c63ae7a18c0d7231f7690241f19537e146b6dc6014d98ad816bf3f"
+    },
+    {
+      "bytes": 68243,
+      "path": "data/dev/pc3/deepseek-000112-0000-4c64325056b5e624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4c64325056b5e6240318ae87d43faa8f07c478ec1d841e53bc8bc5d5e1f018a6"
+    },
+    {
+      "bytes": 46954,
+      "path": "data/internal_test/pc3/deepseek-000112-0000-86bfecf44d89877f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "86bfecf44d89877f08e5557913b0ef7f661be81541b30029ce273cb636542cb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000113.json b/manifests/batches/deepseek/000113.json
index 26fb559fd2524bba09d2933fd4a512088f1f314a..fd40c145f86318a8ec6fbff64cd23bc1c5d0e770 100644
--- a/manifests/batches/deepseek/000113.json
+++ b/manifests/batches/deepseek/000113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000113",
   "batch_fingerprint": "994551ab277bb0853b6196ab71e21976769f2b62df0175144420feea2f65d8ec",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000113-0000-caf4a5defe4c616c.parquet",
-      "sha256": "caf4a5defe4c616cfc77efc8c2f255e397c2116f722025a08332da222468bed1",
-      "bytes": 400423,
-      "rows": 116,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000113-0000-82853c5c3bc9232a.parquet",
-      "sha256": "82853c5c3bc9232ab1099cbece894cabb065fcc7a68258cfe6d0b22045e92b89",
-      "bytes": 30099,
-      "rows": 5,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5675",
     "deepseek:thm_5676",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005697.lean\",\"cfb1ff70193a7a66ceb6543a39a90f8c6eceae4fbd8459f9296c9bb3cff93d81\",0,\"thm_5722\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005698.lean\",\"a2ceb2eaa2ddc651d4ebf9e0616371da0ad7e58ff75b14132f78878637527738\",0,\"thm_5723\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005699.lean\",\"813b40c84dd17b5b2c400b289ebf17ec07f5eee700f27109f4f4d39dcd7f1dd0\",0,\"thm_5724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 400423,
+      "path": "data/train/pb4/deepseek-000113-0000-caf4a5defe4c616c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 116,
+      "sha256": "caf4a5defe4c616cfc77efc8c2f255e397c2116f722025a08332da222468bed1"
+    },
+    {
+      "bytes": 30099,
+      "path": "data/internal_test/pb4/deepseek-000113-0000-82853c5c3bc9232a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "82853c5c3bc9232ab1099cbece894cabb065fcc7a68258cfe6d0b22045e92b89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000114.json b/manifests/batches/deepseek/000114.json
index a0b7b9b3fc0dd55b91b7bcdc8f5c4ba3237c143c..7c9810eec3e779ceca10e255983bbba29229c5aa 100644
--- a/manifests/batches/deepseek/000114.json
+++ b/manifests/batches/deepseek/000114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000114",
   "batch_fingerprint": "8e9db5d2226a0cbd6f5723723d3c493a3e95f97d4fe6a8c4c1235687762de454",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000114-0000-c7d2e8f4afc795a2.parquet",
-      "sha256": "c7d2e8f4afc795a21d728707e5a5130d63bc85bba83b0de4f3127a20fa448c63",
-      "bytes": 261695,
-      "rows": 82,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/deepseek-000114-0000-abf947c0d5094cf4.parquet",
-      "sha256": "abf947c0d5094cf48220e713d0085a4f6b1ee6dd2501375dd8ef1a68d06ba377",
-      "bytes": 45912,
-      "rows": 11,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/deepseek-000114-0000-66292864a6d9bd73.parquet",
-      "sha256": "66292864a6d9bd731d1b4a5739c11aff7cdab47f74a4ee930aba12e76a0678de",
-      "bytes": 63127,
-      "rows": 12,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5725",
     "deepseek:thm_5726",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005747.lean\",\"e59e2acd31d7f392caec5ce56ea9beb07063a3d751bfe2fbd9e73239ecb3b71f\",0,\"thm_5773\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005748.lean\",\"9665d023573b4cbd72a06b532e2e0b2ecfa4ffbf69869e3a82909cc72f36a12e\",0,\"thm_5774\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005749.lean\",\"eaa8d2341ac1d2c867b42d11753ae0e339011b97042a1cfccd1d644eb24b4dbe\",0,\"thm_5775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261695,
+      "path": "data/train/p0f/deepseek-000114-0000-c7d2e8f4afc795a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "c7d2e8f4afc795a21d728707e5a5130d63bc85bba83b0de4f3127a20fa448c63"
+    },
+    {
+      "bytes": 45912,
+      "path": "data/dev/p0f/deepseek-000114-0000-abf947c0d5094cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "abf947c0d5094cf48220e713d0085a4f6b1ee6dd2501375dd8ef1a68d06ba377"
+    },
+    {
+      "bytes": 63127,
+      "path": "data/internal_test/p0f/deepseek-000114-0000-66292864a6d9bd73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "66292864a6d9bd731d1b4a5739c11aff7cdab47f74a4ee930aba12e76a0678de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000115.json b/manifests/batches/deepseek/000115.json
index 481bb1138c69c1a00a7e7570e04243f489ebdd70..77b3a6e38a055c834ed8572fa99b5843e4c04cc2 100644
--- a/manifests/batches/deepseek/000115.json
+++ b/manifests/batches/deepseek/000115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000115",
   "batch_fingerprint": "b0bcad9c0123f4fc7f51213bd36f2518d7311b38c6db2004cfaad1b38fd27d4e",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000115-0000-b421f60f430e5fc9.parquet",
-      "sha256": "b421f60f430e5fc9da0b0db24136c5fd5a7fd4cb1cf7cfa1e0087ec553db96ae",
-      "bytes": 321867,
-      "rows": 105,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/deepseek-000115-0000-422908b690be9c32.parquet",
-      "sha256": "422908b690be9c3230835432da0f9d75348b77be649a1bc568aa484c74550766",
-      "bytes": 37650,
-      "rows": 4,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000115-0000-7a2500115cb8a420.parquet",
-      "sha256": "7a2500115cb8a420a4f257393336a138ae8b449f6bbbe9a85c7f65aaa3c93caa",
-      "bytes": 48738,
-      "rows": 8,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5776",
     "deepseek:thm_5777",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005797.lean\",\"3e1251bb82b03b642015e7dfc0668859c3ccef8365cf49cb23c07de2d3865a28\",0,\"thm_5823\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005798.lean\",\"89447199b23e3b5d5e2e2457d60be707a90a12a6fa5f0685cf8c2b6d15776b2c\",0,\"thm_5824\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005799.lean\",\"9921390585c312203d47e5c247a0a24f78a6b60ab6421056cc448e9eb2958499\",0,\"thm_5825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321867,
+      "path": "data/train/p34/deepseek-000115-0000-b421f60f430e5fc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "b421f60f430e5fc9da0b0db24136c5fd5a7fd4cb1cf7cfa1e0087ec553db96ae"
+    },
+    {
+      "bytes": 37650,
+      "path": "data/dev/p34/deepseek-000115-0000-422908b690be9c32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "422908b690be9c3230835432da0f9d75348b77be649a1bc568aa484c74550766"
+    },
+    {
+      "bytes": 48738,
+      "path": "data/internal_test/p34/deepseek-000115-0000-7a2500115cb8a420.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7a2500115cb8a420a4f257393336a138ae8b449f6bbbe9a85c7f65aaa3c93caa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000116.json b/manifests/batches/deepseek/000116.json
index dde7a72e942ba94b70be987efdb528e4dc36d0d3..70bfcf7394ee092209496e76035951864b4c74f1 100644
--- a/manifests/batches/deepseek/000116.json
+++ b/manifests/batches/deepseek/000116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000116",
   "batch_fingerprint": "396c030388edce6e0d862234ab40e14b042ee7ce1c0f606729369a70faa94f60",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000116-0000-57beb352ad06a891.parquet",
-      "sha256": "57beb352ad06a891d08eda5f639381be127c11aa84de6356bb684b09d95888ba",
-      "bytes": 333816,
-      "rows": 103,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/deepseek-000116-0000-a8ef21d226c650ed.parquet",
-      "sha256": "a8ef21d226c650edce878f1bbd33fd63e398fe492a50d20a01c86b69bcaa202b",
-      "bytes": 58435,
-      "rows": 10,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/deepseek-000116-0000-7ef5f8ec38a57e79.parquet",
-      "sha256": "7ef5f8ec38a57e79532608ae9a4096116543e8f915298cb4315743bcb64d5b02",
-      "bytes": 32083,
-      "rows": 1,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5826",
     "deepseek:thm_5827",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005847.lean\",\"3c2c4a659be245e1ba651b2272cba5ac0ce8736eeff2052dfc8806277ced8d6e\",0,\"thm_5873\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005848.lean\",\"689270043a485eac917f4304c302fe1e815beedab281deb775a477a25c747669\",0,\"thm_5874\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005849.lean\",\"b23ff45ad48de3011f5530d79c715f4295bf645f4d6d44823a02f889c6340669\",0,\"thm_5875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333816,
+      "path": "data/train/p37/deepseek-000116-0000-57beb352ad06a891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "57beb352ad06a891d08eda5f639381be127c11aa84de6356bb684b09d95888ba"
+    },
+    {
+      "bytes": 58435,
+      "path": "data/dev/p37/deepseek-000116-0000-a8ef21d226c650ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a8ef21d226c650edce878f1bbd33fd63e398fe492a50d20a01c86b69bcaa202b"
+    },
+    {
+      "bytes": 32083,
+      "path": "data/internal_test/p37/deepseek-000116-0000-7ef5f8ec38a57e79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7ef5f8ec38a57e79532608ae9a4096116543e8f915298cb4315743bcb64d5b02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000117.json b/manifests/batches/deepseek/000117.json
index fc7e7b3d7aeb66079667bf14079707e092191dee..d78dacc2273e87061de78d213ee89193f989b272 100644
--- a/manifests/batches/deepseek/000117.json
+++ b/manifests/batches/deepseek/000117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000117",
   "batch_fingerprint": "1695b9a431b30b15aab08eb5a6414748d58c11ab0b39dae55689dbf02f20906c",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000117-0000-55f42cd0822c4843.parquet",
-      "sha256": "55f42cd0822c484349a686c465353e571fab104bf699d26c2af91faa493576c3",
-      "bytes": 299398,
-      "rows": 92,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    },
-    {
-      "path": "data/dev/deepseek-000117-0000-6dfdea73fc74ca4c.parquet",
-      "sha256": "6dfdea73fc74ca4cbc2737531c8753bf787925b442db97ce384fbf41593e7c2e",
-      "bytes": 34579,
-      "rows": 3,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000117-0000-33991801c5dbc606.parquet",
-      "sha256": "33991801c5dbc60620d17333956fa7dbcb7876a1959d7c6163af08d0bc8409ef",
-      "bytes": 44557,
-      "rows": 10,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5876",
     "deepseek:thm_5877",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005897.lean\",\"737d3fabb50b1a0617c0d373ee885a9d865ea44ab4670cefb18004d80ae39084\",0,\"thm_5923\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005898.lean\",\"ce0c0d63962196a660564c6a883181309dc6276a996fa940de3785bc746c9500\",0,\"thm_5924\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005899.lean\",\"f8f70bd0aa06e3be82a926bffc334dbdb43845b5d7c98ccfd9097221bcd314cb\",0,\"thm_5925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299398,
+      "path": "data/train/pc6/deepseek-000117-0000-55f42cd0822c4843.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "55f42cd0822c484349a686c465353e571fab104bf699d26c2af91faa493576c3"
+    },
+    {
+      "bytes": 34579,
+      "path": "data/dev/pc6/deepseek-000117-0000-6dfdea73fc74ca4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6dfdea73fc74ca4cbc2737531c8753bf787925b442db97ce384fbf41593e7c2e"
+    },
+    {
+      "bytes": 44557,
+      "path": "data/internal_test/pc6/deepseek-000117-0000-33991801c5dbc606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "33991801c5dbc60620d17333956fa7dbcb7876a1959d7c6163af08d0bc8409ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000118.json b/manifests/batches/deepseek/000118.json
index 4f07bc0e1554b7d499c9685490839c449fd1a46b..9c458bcfec557bfb98732f38afcae0d654156514 100644
--- a/manifests/batches/deepseek/000118.json
+++ b/manifests/batches/deepseek/000118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000118",
   "batch_fingerprint": "b8fd7ec676faa94048c1905607843a7950276dcf9905dbf0ebf94d53cbd23ded",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000118-0000-d6f17c4edebbf480.parquet",
-      "sha256": "d6f17c4edebbf48025a34d7f35fbe29e32748c5a12c18043aa73c3b26b40d752",
-      "bytes": 296642,
-      "rows": 91,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/deepseek-000118-0000-038695bea65acb1e.parquet",
-      "sha256": "038695bea65acb1ee0256c7a74325c2bb9fe3d80f4e9c5c852b72bcc6f2b348b",
-      "bytes": 39199,
-      "rows": 6,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000118-0000-f2278b8f9cba0c90.parquet",
-      "sha256": "f2278b8f9cba0c90a726c5b695eddcf91c24f16b17321d6b72778eb419021b7b",
-      "bytes": 56084,
-      "rows": 11,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5926",
     "deepseek:thm_5927",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005947.lean\",\"48a40ecd17ce1c027f8d3eb8907c6cb3b5fffc90b9201c14e738c68d8271496b\",0,\"thm_5974\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005948.lean\",\"26ad96ae5b44bbcca42d426aaa4775ea4fd6f806665e2c415f7e40afe9a65b0e\",0,\"thm_5975\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005949.lean\",\"33685caa6db332da6bba9110242494e5d2dbcdcb0abd7cc6eb39686fe7b5fc89\",0,\"thm_5977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296642,
+      "path": "data/train/pe2/deepseek-000118-0000-d6f17c4edebbf480.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "d6f17c4edebbf48025a34d7f35fbe29e32748c5a12c18043aa73c3b26b40d752"
+    },
+    {
+      "bytes": 39199,
+      "path": "data/dev/pe2/deepseek-000118-0000-038695bea65acb1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "038695bea65acb1ee0256c7a74325c2bb9fe3d80f4e9c5c852b72bcc6f2b348b"
+    },
+    {
+      "bytes": 56084,
+      "path": "data/internal_test/pe2/deepseek-000118-0000-f2278b8f9cba0c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f2278b8f9cba0c90a726c5b695eddcf91c24f16b17321d6b72778eb419021b7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000119.json b/manifests/batches/deepseek/000119.json
index 63ae42d02be9a6eaa78c4e7eb4518d34006feaf7..c980bece4c169ab66db6dd26632fa63143c432e7 100644
--- a/manifests/batches/deepseek/000119.json
+++ b/manifests/batches/deepseek/000119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000119",
   "batch_fingerprint": "5e7fb1fdb2964189e25a0c6c4f25d15a1fb49783c75dee741e9a78e7d5c7aa74",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000119-0000-4ca3c9dbf76643fd.parquet",
-      "sha256": "4ca3c9dbf76643fd5d26fe8e4822e40fbe60b37334df22b5fc4e44b4b81c2585",
-      "bytes": 308077,
-      "rows": 94,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    },
-    {
-      "path": "data/dev/deepseek-000119-0000-9ee58b41215901a5.parquet",
-      "sha256": "9ee58b41215901a52b208ae22654693d73e57beb13af42bc20ee2246c297cd2d",
-      "bytes": 44082,
-      "rows": 10,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000119-0000-c45284064350b737.parquet",
-      "sha256": "c45284064350b7375ad9cef540401ad2e9b3d4cc97c813388d85faa4c41a93db",
-      "bytes": 48447,
-      "rows": 10,
-      "revision": "f18c654e04d5b9e3d6bbc3b592ba5386fb7fca94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_5978",
     "deepseek:thm_5979",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005997.lean\",\"f6d27ea27e1d08a83e08daa413c1c5840d70bd00b0f3765017e6f1375ed87376\",0,\"thm_6025\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005998.lean\",\"0d8cc410218a5bdc69c6c0a92125b5697a43d875da85733359560119942890c1\",0,\"thm_6026\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_005999.lean\",\"d87e6b65c50bffeacb45052518ca2f2939a4ad72746ac6abda9b08b408ce67b3\",0,\"thm_6027\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308077,
+      "path": "data/train/p9f/deepseek-000119-0000-4ca3c9dbf76643fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "4ca3c9dbf76643fd5d26fe8e4822e40fbe60b37334df22b5fc4e44b4b81c2585"
+    },
+    {
+      "bytes": 44082,
+      "path": "data/dev/p9f/deepseek-000119-0000-9ee58b41215901a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9ee58b41215901a52b208ae22654693d73e57beb13af42bc20ee2246c297cd2d"
+    },
+    {
+      "bytes": 48447,
+      "path": "data/internal_test/p9f/deepseek-000119-0000-c45284064350b737.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c45284064350b7375ad9cef540401ad2e9b3d4cc97c813388d85faa4c41a93db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000120.json b/manifests/batches/deepseek/000120.json
index 3e600a2f5d20329d66f7ff7e4d0f0a167e8979c7..d2d001a99816bfe7018d8be7f8906e8c917720bf 100644
--- a/manifests/batches/deepseek/000120.json
+++ b/manifests/batches/deepseek/000120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000120",
   "batch_fingerprint": "83f7a664ea2ae6141936cf6a3121bbbb4ed6f5b205dfc464cb6d26097acc4f2f",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000120-0000-21910cae2ec23c77.parquet",
-      "sha256": "21910cae2ec23c77270e8b669ad14290e158d5383a42b92f8026e0759d2220d2",
-      "bytes": 330891,
-      "rows": 102,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/deepseek-000120-0000-1d5d4f6ed84c8379.parquet",
-      "sha256": "1d5d4f6ed84c8379c08bdd64270479ffec56c00913bddcac3e8abc394a5b7cb4",
-      "bytes": 60452,
-      "rows": 8,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000120-0000-11b76b7f09969402.parquet",
-      "sha256": "11b76b7f0996940240d3ffeb00b631925ff75ed4330e7249954f3b5c8791df79",
-      "bytes": 42244,
-      "rows": 4,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6028",
     "deepseek:thm_6029",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006047.lean\",\"f3d9e022fc68ecbe64cc1563184f5a17ee50e28d4ac55c30828f73ac03985667\",0,\"thm_6076\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006048.lean\",\"1a52dcc3227c8e73c9278b82cc2fcd93f80e129ec00eaeefe9517d1b9e24bf51\",0,\"thm_6077\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006049.lean\",\"8ced0fab640f99056506c20f0a764404d4435f61ac417e0db08094ed4808ceee\",0,\"thm_6078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330891,
+      "path": "data/train/pf9/deepseek-000120-0000-21910cae2ec23c77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "21910cae2ec23c77270e8b669ad14290e158d5383a42b92f8026e0759d2220d2"
+    },
+    {
+      "bytes": 60452,
+      "path": "data/dev/pf9/deepseek-000120-0000-1d5d4f6ed84c8379.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1d5d4f6ed84c8379c08bdd64270479ffec56c00913bddcac3e8abc394a5b7cb4"
+    },
+    {
+      "bytes": 42244,
+      "path": "data/internal_test/pf9/deepseek-000120-0000-11b76b7f09969402.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "11b76b7f0996940240d3ffeb00b631925ff75ed4330e7249954f3b5c8791df79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000121.json b/manifests/batches/deepseek/000121.json
index 202759b3e9e6ea90aa20d38d9276ced9ff8b475b..b613d28556f40fdec6ed5b55ab9c58f97f52a4a4 100644
--- a/manifests/batches/deepseek/000121.json
+++ b/manifests/batches/deepseek/000121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000121",
   "batch_fingerprint": "e05ff05108e23be1eda422f77b6a083224448a502e68f57a6927e8c4ae6d773e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000121-0000-8ef357e7e4910d77.parquet",
-      "sha256": "8ef357e7e4910d779a798c0a8afcdfe744b89e7851f6c8fb17c155b08c3d05d6",
-      "bytes": 326795,
-      "rows": 97,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/deepseek-000121-0000-fe15544bb4b83150.parquet",
-      "sha256": "fe15544bb4b83150ac4145ce54a3a16f7a179434d74e84cb9340a852324d2c94",
-      "bytes": 45012,
-      "rows": 6,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/deepseek-000121-0000-0fa83abb76d7eac6.parquet",
-      "sha256": "0fa83abb76d7eac62796f5505a153da1692cee30132a5bc3c11a56022c45afa3",
-      "bytes": 57209,
-      "rows": 11,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6079",
     "deepseek:thm_6080",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006097.lean\",\"f5a2144ce7e4cd6781364efa14d6f74538aa3475f184e94b250ffcd3bd8e6a63\",0,\"thm_6126\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006098.lean\",\"ecd7db8131c082273e3a803425a6e04843da7a7fd6f118af34ffc3bdb29876a1\",0,\"thm_6127\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006099.lean\",\"fe04e5979b3b7054f6256647f254c647667f3c84c99db0a02b5dd4a3c1c3293d\",0,\"thm_6128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326795,
+      "path": "data/train/pc2/deepseek-000121-0000-8ef357e7e4910d77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "8ef357e7e4910d779a798c0a8afcdfe744b89e7851f6c8fb17c155b08c3d05d6"
+    },
+    {
+      "bytes": 45012,
+      "path": "data/dev/pc2/deepseek-000121-0000-fe15544bb4b83150.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fe15544bb4b83150ac4145ce54a3a16f7a179434d74e84cb9340a852324d2c94"
+    },
+    {
+      "bytes": 57209,
+      "path": "data/internal_test/pc2/deepseek-000121-0000-0fa83abb76d7eac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0fa83abb76d7eac62796f5505a153da1692cee30132a5bc3c11a56022c45afa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000122.json b/manifests/batches/deepseek/000122.json
index 6053c1e954c0d901cca799c99bdd2ad9b6171526..d7eedcb6a0623439511e7ff38d9b03d1930e5100 100644
--- a/manifests/batches/deepseek/000122.json
+++ b/manifests/batches/deepseek/000122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000122",
   "batch_fingerprint": "c3ea3ec50af993d0de42e550d89fe43f3db2d62b15480e5578f09ac2ec52c6da",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000122-0000-9417204dd2536c1f.parquet",
-      "sha256": "9417204dd2536c1f3e525889eaccffc044ca768601bb397095c3e4c12dbbe61d",
-      "bytes": 331143,
-      "rows": 99,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000122-0000-83f03299dfec3a7c.parquet",
-      "sha256": "83f03299dfec3a7c849cd04a87bb2660983ddea78038de2e43f323ba50c2914e",
-      "bytes": 46485,
-      "rows": 9,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000122-0000-85b90ff37c41d3fb.parquet",
-      "sha256": "85b90ff37c41d3fbf0e0168c80b1ee0c10b76bf74576678d0fd4ace1fc39ad4c",
-      "bytes": 56169,
-      "rows": 14,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6129",
     "deepseek:thm_6130",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006147.lean\",\"86d519a5650c5c006e8647272444448806b501b5e7c5f4fdf2ae8cb42c9e55c2\",0,\"thm_6176\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006148.lean\",\"f948304932e226612a80cb1af5a5f5e8ab089a0c5252061aeea3369f9a3b3d06\",0,\"thm_6177\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006149.lean\",\"21af743b32b7c599f6986fd98cf853f5d47c7ab7bd947672fc63e3f92fd61f94\",0,\"thm_6178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331143,
+      "path": "data/train/p52/deepseek-000122-0000-9417204dd2536c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "9417204dd2536c1f3e525889eaccffc044ca768601bb397095c3e4c12dbbe61d"
+    },
+    {
+      "bytes": 46485,
+      "path": "data/dev/p52/deepseek-000122-0000-83f03299dfec3a7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "83f03299dfec3a7c849cd04a87bb2660983ddea78038de2e43f323ba50c2914e"
+    },
+    {
+      "bytes": 56169,
+      "path": "data/internal_test/p52/deepseek-000122-0000-85b90ff37c41d3fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "85b90ff37c41d3fbf0e0168c80b1ee0c10b76bf74576678d0fd4ace1fc39ad4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000123.json b/manifests/batches/deepseek/000123.json
index 0525860f5193d3acf22c34f86e8f8e8cd0e26b7d..feee9e5aab8e88cb8ec36b20626d2fb63861baa9 100644
--- a/manifests/batches/deepseek/000123.json
+++ b/manifests/batches/deepseek/000123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000123",
   "batch_fingerprint": "42250c6b1bfaba7ac36c1d821130767acd6372d5f6a5fe1e6d03d4186f54604f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000123-0000-f5cc5f5df182a3ea.parquet",
-      "sha256": "f5cc5f5df182a3ea520a39bccda2613c57b519b3e2faa1c6e8be87ce25af2b38",
-      "bytes": 364103,
-      "rows": 100,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000123-0000-2720d54ac345e7dc.parquet",
-      "sha256": "2720d54ac345e7dc795e090ca387336f92665fec35658b1924359fe809345ca6",
-      "bytes": 39457,
-      "rows": 6,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000123-0000-2ca4ff739b5c1a27.parquet",
-      "sha256": "2ca4ff739b5c1a27f3a81f968a3ad978d9b054630425d0d80abd8fc6e2dc29d6",
-      "bytes": 45110,
-      "rows": 9,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6179",
     "deepseek:thm_6180",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006197.lean\",\"8446f26b79b09973c6cb493a881897c15fc27a40129383d2ff229084c7b518a1\",0,\"thm_6226\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006198.lean\",\"328f87564a048bcf2efa263eeba69b51f7f8b28160722b2c44b319409cc5713c\",0,\"thm_6227\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006199.lean\",\"d4e25386ce22ba969316896c199ffb95cc231c1fee9923f60f1da4879ae727ca\",0,\"thm_6228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 364103,
+      "path": "data/train/pf3/deepseek-000123-0000-f5cc5f5df182a3ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "f5cc5f5df182a3ea520a39bccda2613c57b519b3e2faa1c6e8be87ce25af2b38"
+    },
+    {
+      "bytes": 39457,
+      "path": "data/dev/pf3/deepseek-000123-0000-2720d54ac345e7dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2720d54ac345e7dc795e090ca387336f92665fec35658b1924359fe809345ca6"
+    },
+    {
+      "bytes": 45110,
+      "path": "data/internal_test/pf3/deepseek-000123-0000-2ca4ff739b5c1a27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2ca4ff739b5c1a27f3a81f968a3ad978d9b054630425d0d80abd8fc6e2dc29d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000124.json b/manifests/batches/deepseek/000124.json
index 155498dbf0c8a6a1b59e162a8639a4ddaf523599..a09cc4daf5af3fd3d4bbf7bc3f4eedfff13cd43e 100644
--- a/manifests/batches/deepseek/000124.json
+++ b/manifests/batches/deepseek/000124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000124",
   "batch_fingerprint": "7c4f54cc4995e0cab127471a77af735fd4f7dbaf4924e6904d1ff98f477912c7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000124-0000-0efefbeaa4b6fa29.parquet",
-      "sha256": "0efefbeaa4b6fa2908450ff14720ff6ddd44e42619d00b3f6a39adf63863179a",
-      "bytes": 281872,
-      "rows": 87,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000124-0000-8182f6b8444a8412.parquet",
-      "sha256": "8182f6b8444a8412d36724a25db09f4dc3256a20171e9cbef17bfac3f7d77da6",
-      "bytes": 37960,
-      "rows": 6,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000124-0000-6b548e49f07be6fb.parquet",
-      "sha256": "6b548e49f07be6fbec564050b20e720856643121f05b119f89e930dc93e326f9",
-      "bytes": 91365,
-      "rows": 20,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6229",
     "deepseek:thm_6230",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006247.lean\",\"be91f9e0d5f58e582f18a5ba4b3328b6685cebd360be447c4d2a819f8e7e5f8a\",0,\"thm_6276\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006248.lean\",\"c48b999eaa99d7c2d3504a4fc7ae771cdd11a213a3b3332c45280acb014cdba5\",0,\"thm_6277\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006249.lean\",\"c70600e94b68752d84d94e1cbffc8836aa3fa6b9012b9175956d8ae2bcc05bff\",0,\"thm_6278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281872,
+      "path": "data/train/p8b/deepseek-000124-0000-0efefbeaa4b6fa29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "0efefbeaa4b6fa2908450ff14720ff6ddd44e42619d00b3f6a39adf63863179a"
+    },
+    {
+      "bytes": 37960,
+      "path": "data/dev/p8b/deepseek-000124-0000-8182f6b8444a8412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8182f6b8444a8412d36724a25db09f4dc3256a20171e9cbef17bfac3f7d77da6"
+    },
+    {
+      "bytes": 91365,
+      "path": "data/internal_test/p8b/deepseek-000124-0000-6b548e49f07be6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6b548e49f07be6fbec564050b20e720856643121f05b119f89e930dc93e326f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000125.json b/manifests/batches/deepseek/000125.json
index 6dd2faa02b665256e13e7499eb5ca8a7d1fc14d1..f46e9d814562387e812e7a7153984fca80ce7da1 100644
--- a/manifests/batches/deepseek/000125.json
+++ b/manifests/batches/deepseek/000125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000125",
   "batch_fingerprint": "bca45bebcff2143e7312529d02c038eab99a39812d004530051ae29bec63011e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000125-0000-5679196edae2489f.parquet",
-      "sha256": "5679196edae2489f63029d3897cccd235f7e87fd4154008c5c110eb47f4a28ab",
-      "bytes": 327597,
-      "rows": 111,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000125-0000-189100284abb9bf6.parquet",
-      "sha256": "189100284abb9bf65113594f5cd10c6e8965e79a01a35a7ec3653af93386ff5e",
-      "bytes": 26964,
-      "rows": 2,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000125-0000-b175f2f03e9b5d3d.parquet",
-      "sha256": "b175f2f03e9b5d3d8795283046537c2323ef3dbfd3a36a3e7d3133e3b2d22a56",
-      "bytes": 50607,
-      "rows": 11,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6279",
     "deepseek:thm_6280",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006297.lean\",\"5dc27cd7a189a25fce87fd00a6e97b986b0646637a39ee6ffc22496357850b01\",0,\"thm_6327\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006298.lean\",\"8b2629572d7d76104a014f02d93627ac7a51009e3d9f5047d93d7168d5f31468\",0,\"thm_6328\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006299.lean\",\"7be3d827bec7ae7cc2218ae01dadd6744d3bc159073ff5dd6ca5af0ec73db9d5\",0,\"thm_6329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327597,
+      "path": "data/train/pf4/deepseek-000125-0000-5679196edae2489f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "5679196edae2489f63029d3897cccd235f7e87fd4154008c5c110eb47f4a28ab"
+    },
+    {
+      "bytes": 26964,
+      "path": "data/dev/pf4/deepseek-000125-0000-189100284abb9bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "189100284abb9bf65113594f5cd10c6e8965e79a01a35a7ec3653af93386ff5e"
+    },
+    {
+      "bytes": 50607,
+      "path": "data/internal_test/pf4/deepseek-000125-0000-b175f2f03e9b5d3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b175f2f03e9b5d3d8795283046537c2323ef3dbfd3a36a3e7d3133e3b2d22a56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000126.json b/manifests/batches/deepseek/000126.json
index 50dddc310b809563ab6ea75e6f6140e2a6e111ea..42ced814fdcc4dbc0b0ff00dd39f478be7198667 100644
--- a/manifests/batches/deepseek/000126.json
+++ b/manifests/batches/deepseek/000126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000126",
   "batch_fingerprint": "42a80040dc3cc45fb2958d1f0d9d79e0bd2424d17738c32c93e3902825913416",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000126-0000-c804bfb222e94d63.parquet",
-      "sha256": "c804bfb222e94d63b07c3bfab7660b049dfd118dd111d3ef3538a5c3674cb287",
-      "bytes": 328469,
-      "rows": 99,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000126-0000-e3512f33c0aa021a.parquet",
-      "sha256": "e3512f33c0aa021a2eccf0d966b41c49b547ff0dab2492bbe1cbaa0f6a5970dc",
-      "bytes": 27218,
-      "rows": 2,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000126-0000-da3326158a58cccb.parquet",
-      "sha256": "da3326158a58cccbdc994f4cbaf9dbe83e0154e55452ef27eb9109e66be18aa6",
-      "bytes": 39617,
-      "rows": 5,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6330",
     "deepseek:thm_6331",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006347.lean\",\"d57d1a581fdd48403e94e05a853543338755b015921a9a09732ba93127fdd2a4\",0,\"thm_6377\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006348.lean\",\"a3b29c92530d81841d690f4566ed46e84601ceeeefcbcd23c13180d696ac124a\",0,\"thm_6378\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006349.lean\",\"da18fc51e7c57675d8955a2ad835b8da004920174fe8c887e69d6ecee37dd3b6\",0,\"thm_6379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328469,
+      "path": "data/train/p94/deepseek-000126-0000-c804bfb222e94d63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "c804bfb222e94d63b07c3bfab7660b049dfd118dd111d3ef3538a5c3674cb287"
+    },
+    {
+      "bytes": 27218,
+      "path": "data/dev/p94/deepseek-000126-0000-e3512f33c0aa021a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e3512f33c0aa021a2eccf0d966b41c49b547ff0dab2492bbe1cbaa0f6a5970dc"
+    },
+    {
+      "bytes": 39617,
+      "path": "data/internal_test/p94/deepseek-000126-0000-da3326158a58cccb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "da3326158a58cccbdc994f4cbaf9dbe83e0154e55452ef27eb9109e66be18aa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000127.json b/manifests/batches/deepseek/000127.json
index e8bdbaffb9a16a21a3a9232a5c60eb709f2e9060..bb7233a03c8c9743267ee16acf6afd66665ec502 100644
--- a/manifests/batches/deepseek/000127.json
+++ b/manifests/batches/deepseek/000127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000127",
   "batch_fingerprint": "60d427cc258dacfaafcc861e7c81312cb2eadbdcc4f95ebaf92c4bb247f70eb0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000127-0000-4082e87c3729aa7a.parquet",
-      "sha256": "4082e87c3729aa7aac1e7fef47a19c28bc4931392a6632bca95ff0af6f4238e9",
-      "bytes": 351509,
-      "rows": 100,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/deepseek-000127-0000-9570fad847f318f6.parquet",
-      "sha256": "9570fad847f318f6e66d3b1a920201b09a49c53a66f96ff02929e5f61d9b77fd",
-      "bytes": 57754,
-      "rows": 9,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000127-0000-d4cba3bed03a6903.parquet",
-      "sha256": "d4cba3bed03a6903c053422ff3a226f5c13cd1411b4d3a7289b5e60b1b17bbbc",
-      "bytes": 53096,
-      "rows": 11,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6380",
     "deepseek:thm_6381",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006397.lean\",\"ac03c38b1fe159ba402a8b522d55f6aba64d7372c126bdf0ae9468115f6e703e\",0,\"thm_6427\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006398.lean\",\"8fb3e37ba60bd6246d5a4b293136135cb85f9d161d1bbb86d7dc7de16b0cedd8\",0,\"thm_6428\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006399.lean\",\"50a2c0ef9392b2a6bbcc7b2835bc074b199d9a90151fd097b823c0a56784df11\",0,\"thm_6429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351509,
+      "path": "data/train/p45/deepseek-000127-0000-4082e87c3729aa7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "4082e87c3729aa7aac1e7fef47a19c28bc4931392a6632bca95ff0af6f4238e9"
+    },
+    {
+      "bytes": 57754,
+      "path": "data/dev/p45/deepseek-000127-0000-9570fad847f318f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9570fad847f318f6e66d3b1a920201b09a49c53a66f96ff02929e5f61d9b77fd"
+    },
+    {
+      "bytes": 53096,
+      "path": "data/internal_test/p45/deepseek-000127-0000-d4cba3bed03a6903.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d4cba3bed03a6903c053422ff3a226f5c13cd1411b4d3a7289b5e60b1b17bbbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000128.json b/manifests/batches/deepseek/000128.json
index 31e23ec7445307fba10a29833055dc57ab5d43e0..7427889ba29fc3fcdd73cc6f2a67641e3b73577f 100644
--- a/manifests/batches/deepseek/000128.json
+++ b/manifests/batches/deepseek/000128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000128",
   "batch_fingerprint": "1dbd6761bcda319b864e3438c31d3f6d4961c8f414ffedc1099b2f4e44202ef7",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000128-0000-fae18f9c5e2cf68b.parquet",
-      "sha256": "fae18f9c5e2cf68bcae3803ccdd53eb27d8d4f5a93892e67ce8f9165f3a228bb",
-      "bytes": 341488,
-      "rows": 100,
-      "revision": "72dea14335cccfd41d58d4dfa6213a21d6e3048d"
-    },
-    {
-      "path": "data/dev/deepseek-000128-0000-88408b34a694cd18.parquet",
-      "sha256": "88408b34a694cd18490c96110369b62797eaa14b840cbab7870824794dfa6b0e",
-      "bytes": 39436,
-      "rows": 6,
-      "revision": "72dea14335cccfd41d58d4dfa6213a21d6e3048d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000128-0000-ddfda9fd6362a026.parquet",
-      "sha256": "ddfda9fd6362a026a367a3c7b4d390d1bb13b409bc741982b956ad4dcc0a4840",
-      "bytes": 61063,
-      "rows": 11,
-      "revision": "72dea14335cccfd41d58d4dfa6213a21d6e3048d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6430",
     "deepseek:thm_6431",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006447.lean\",\"c5e9f132406a5def9c880d2330475af0af489a57192e90ba3d050225c87b4845\",0,\"thm_6477\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006448.lean\",\"63b959480b20cac2fe01f2c68bf19804b0612d5472bbe372ce9390669fbe704a\",0,\"thm_6478\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006449.lean\",\"85eb3ea19948dc960c6c7f5c5cd01f4a5116bfdc5de6d807b70bcf64fdcb38a5\",0,\"thm_6479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341488,
+      "path": "data/train/pae/deepseek-000128-0000-fae18f9c5e2cf68b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "fae18f9c5e2cf68bcae3803ccdd53eb27d8d4f5a93892e67ce8f9165f3a228bb"
+    },
+    {
+      "bytes": 39436,
+      "path": "data/dev/pae/deepseek-000128-0000-88408b34a694cd18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "88408b34a694cd18490c96110369b62797eaa14b840cbab7870824794dfa6b0e"
+    },
+    {
+      "bytes": 61063,
+      "path": "data/internal_test/pae/deepseek-000128-0000-ddfda9fd6362a026.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ddfda9fd6362a026a367a3c7b4d390d1bb13b409bc741982b956ad4dcc0a4840"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000129.json b/manifests/batches/deepseek/000129.json
index 0fa92cf12decb60b646b7191aa51dd8d19896670..66a0de681f6ebe1f80f3c622efd8e819f4ec2acb 100644
--- a/manifests/batches/deepseek/000129.json
+++ b/manifests/batches/deepseek/000129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000129",
   "batch_fingerprint": "aebc39ddea6bd2530bff2e92c1ce6e14e97a91eb3c2f0286558f353c4815f0b8",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000129-0000-b521783014fdfeab.parquet",
-      "sha256": "b521783014fdfeabfa63afc0b06b245b42738ba47276155fb7bead81a9937f14",
-      "bytes": 330862,
-      "rows": 109,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/dev/deepseek-000129-0000-4981496e8749a6ce.parquet",
-      "sha256": "4981496e8749a6ced43559aa50b2c578fb48f680e6e7f45d62cb8558f343d7fa",
-      "bytes": 35602,
-      "rows": 5,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000129-0000-6d5f42777dbbb9e4.parquet",
-      "sha256": "6d5f42777dbbb9e476a7dfa66ed77b1dc6088ed4d2c304e9c28cecd603f43608",
-      "bytes": 50476,
-      "rows": 15,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6480",
     "deepseek:thm_6482",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006497.lean\",\"7c6f6dfd575799fcd896171627b23c7201a8ac913dee42df3472b1dcff463ae7\",0,\"thm_6528\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006498.lean\",\"901593188009d9ffd96f77c9c5d6beb3bfd35664de905c962133651fbae6d849\",0,\"thm_6529\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006499.lean\",\"33334d236e6964c2fc4b1180d6fcfcbb56e84a0d0389a6e7e90ce48c32956dd4\",0,\"thm_6530\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330862,
+      "path": "data/train/p19/deepseek-000129-0000-b521783014fdfeab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "b521783014fdfeabfa63afc0b06b245b42738ba47276155fb7bead81a9937f14"
+    },
+    {
+      "bytes": 35602,
+      "path": "data/dev/p19/deepseek-000129-0000-4981496e8749a6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4981496e8749a6ced43559aa50b2c578fb48f680e6e7f45d62cb8558f343d7fa"
+    },
+    {
+      "bytes": 50476,
+      "path": "data/internal_test/p19/deepseek-000129-0000-6d5f42777dbbb9e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6d5f42777dbbb9e476a7dfa66ed77b1dc6088ed4d2c304e9c28cecd603f43608"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000130.json b/manifests/batches/deepseek/000130.json
index cd8b8eece2db0d1b4f9c16cb31f0e782b37f5f9c..fa70fdc373f930b969c8321700dff00100db5d88 100644
--- a/manifests/batches/deepseek/000130.json
+++ b/manifests/batches/deepseek/000130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000130",
   "batch_fingerprint": "2b659760929f221dcd24f340a07c4ce14732254d2d7835b94e6ff07bc634d3f4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000130-0000-1a141e184ca9bec2.parquet",
-      "sha256": "1a141e184ca9bec2364fd35d7530e59e5cbe6487b68ff5e7e479d54b9434927f",
-      "bytes": 347911,
-      "rows": 98,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000130-0000-336ae2e7769cbd71.parquet",
-      "sha256": "336ae2e7769cbd718a7f919eea1cc7c21c0c29f75830ce51272948301555a7cd",
-      "bytes": 58407,
-      "rows": 9,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000130-0000-d3ba222628f57377.parquet",
-      "sha256": "d3ba222628f573778b9d4a84435061e81e4d78d4d362e3a44dd52b5449e5927a",
-      "bytes": 76048,
-      "rows": 8,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6531",
     "deepseek:thm_6532",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006547.lean\",\"81c9ef6fd0b605cf18d384fa7c511d7c854a127dcf062b8e1c0297ffe8d32aee\",0,\"thm_6578\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006548.lean\",\"c975b51807537beddd6ebfd9e109e4aec3cd087b4bfce3ceceec1cd71e165181\",0,\"thm_6579\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006549.lean\",\"db59239c4e772c7183a2b8172277c1ccf943fd52fe4cfae7082c243674231ab1\",0,\"thm_6580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347911,
+      "path": "data/train/p00/deepseek-000130-0000-1a141e184ca9bec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "1a141e184ca9bec2364fd35d7530e59e5cbe6487b68ff5e7e479d54b9434927f"
+    },
+    {
+      "bytes": 58407,
+      "path": "data/dev/p00/deepseek-000130-0000-336ae2e7769cbd71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "336ae2e7769cbd718a7f919eea1cc7c21c0c29f75830ce51272948301555a7cd"
+    },
+    {
+      "bytes": 76048,
+      "path": "data/internal_test/p00/deepseek-000130-0000-d3ba222628f57377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d3ba222628f573778b9d4a84435061e81e4d78d4d362e3a44dd52b5449e5927a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000131.json b/manifests/batches/deepseek/000131.json
index a4c5b5fafd91ead39234191b2e72bd5240c226b8..c00c686fde271cae6a3dcfe8ab638cbed2b32896 100644
--- a/manifests/batches/deepseek/000131.json
+++ b/manifests/batches/deepseek/000131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000131",
   "batch_fingerprint": "782dd58171a0eefbdc7bab496ec8c45e071c722db444aaebdf58158c03eb2e3b",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000131-0000-7644dcb7936f8952.parquet",
-      "sha256": "7644dcb7936f8952192bb7c6a3f7ede67af28932d350369a78ad6f9be0369935",
-      "bytes": 326587,
-      "rows": 99,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/dev/deepseek-000131-0000-c4668c19dab03271.parquet",
-      "sha256": "c4668c19dab03271917880e366a2c7c51f72c31fb1134226b5da260ba9bd96fd",
-      "bytes": 39063,
-      "rows": 5,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/internal_test/deepseek-000131-0000-d866db741d684ac4.parquet",
-      "sha256": "d866db741d684ac47da162d8fd3e5c208e095f6a56a4016e7e162335f93ff276",
-      "bytes": 69733,
-      "rows": 16,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6581",
     "deepseek:thm_6582",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006596.lean\",\"8ee941ac503b946290d12d5656fd17b0584cf5fb402347467a951ff236d59ad4\",0,\"thm_6627\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006598.lean\",\"e8b41cfe1f96b8bfb54c6b9f98d2122c90c6cd343a68e995c7f9c6a0e36e2609\",0,\"thm_6629\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006599.lean\",\"5c2d5e10a23af7e7aa107cc362fcbcae4aa794b8f34b1b77ac8f825144d2bfae\",0,\"thm_6630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326587,
+      "path": "data/train/p77/deepseek-000131-0000-7644dcb7936f8952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "7644dcb7936f8952192bb7c6a3f7ede67af28932d350369a78ad6f9be0369935"
+    },
+    {
+      "bytes": 39063,
+      "path": "data/dev/p77/deepseek-000131-0000-c4668c19dab03271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c4668c19dab03271917880e366a2c7c51f72c31fb1134226b5da260ba9bd96fd"
+    },
+    {
+      "bytes": 69733,
+      "path": "data/internal_test/p77/deepseek-000131-0000-d866db741d684ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d866db741d684ac47da162d8fd3e5c208e095f6a56a4016e7e162335f93ff276"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000132.json b/manifests/batches/deepseek/000132.json
index aaec9410312225807f3aee6461cfe12d9792a715..b499fb379f61a8dee2533d1e607bee4b3c06c401 100644
--- a/manifests/batches/deepseek/000132.json
+++ b/manifests/batches/deepseek/000132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000132",
   "batch_fingerprint": "7e37f89bfe0b6caa058521351a521de9c9966cc560fe1cab285184b43a9ada03",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000132-0000-ce678d8f982c4020.parquet",
-      "sha256": "ce678d8f982c402027f6207ede30fddff249b6c5c862ef75981ccab827522387",
-      "bytes": 332128,
-      "rows": 94,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000132-0000-be407ddbbff81c37.parquet",
-      "sha256": "be407ddbbff81c375f1b3aaa209f4c12bde2e299eba2702a72bbf63ab8cdcb76",
-      "bytes": 41315,
-      "rows": 5,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000132-0000-9c5e1ec602ab5b05.parquet",
-      "sha256": "9c5e1ec602ab5b0554b69416f37deb121a25821b0c239cde07355e84de50b587",
-      "bytes": 55615,
-      "rows": 10,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6631",
     "deepseek:thm_6632",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006647.lean\",\"9b4bffefbaf0a8fed1a632231348daff2a77373c1ac440ccb6817fad3d988309\",0,\"thm_6678\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006648.lean\",\"cadbf9616fd3b727a9049d55f0e216cb8f23b6823b851cfdd9f7cada9362a25d\",0,\"thm_6679\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006649.lean\",\"008773212ce1f92b4be45cb06feee1c1143b9aafea12c5d7c846342542893b38\",0,\"thm_6680\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332128,
+      "path": "data/train/p80/deepseek-000132-0000-ce678d8f982c4020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "ce678d8f982c402027f6207ede30fddff249b6c5c862ef75981ccab827522387"
+    },
+    {
+      "bytes": 41315,
+      "path": "data/dev/p80/deepseek-000132-0000-be407ddbbff81c37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "be407ddbbff81c375f1b3aaa209f4c12bde2e299eba2702a72bbf63ab8cdcb76"
+    },
+    {
+      "bytes": 55615,
+      "path": "data/internal_test/p80/deepseek-000132-0000-9c5e1ec602ab5b05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9c5e1ec602ab5b0554b69416f37deb121a25821b0c239cde07355e84de50b587"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000133.json b/manifests/batches/deepseek/000133.json
index 5e54865fee6e4093431e280ac7dbe235095a9149..25800cc293b6b73e1b4df3f3b407cc66f1aa799d 100644
--- a/manifests/batches/deepseek/000133.json
+++ b/manifests/batches/deepseek/000133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000133",
   "batch_fingerprint": "96f5ece2f43f91480480bc1c79d25ffe2a56a6169cc1ef1fa5b1c8e933376fbb",
   "evidence": {
@@ -18,50 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000133-0000-b034d39594bb21da.parquet",
-      "sha256": "b034d39594bb21da0d2b0d784203f1edbae64a572a99158b1bda2bfee945882d",
-      "bytes": 305777,
-      "rows": 98,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000133-0000-fed7cffbd761f01e.parquet",
-      "sha256": "fed7cffbd761f01e6bccb927679d94223dd7461edee1e29f91605a6b6f2bc2a4",
-      "bytes": 33893,
-      "rows": 6,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000133-0000-58b49cd71c5567f7.parquet",
-      "sha256": "58b49cd71c5567f7ddfadc182705e995ae56caad515e99b7e8074beb4c81d70b",
-      "bytes": 28864,
-      "rows": 3,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000133-0001-34d2d787bddf7991.parquet",
-      "sha256": "34d2d787bddf79914525ff543d2346a5c9332c976707e887f031527b1a213fcd",
-      "bytes": 118171,
-      "rows": 1,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000133-0002-9ccaf08d4ba44450.parquet",
-      "sha256": "9ccaf08d4ba44450a6e5d9e09439ce5d156d809494093574deed2f169cd675cf",
-      "bytes": 110192,
-      "rows": 1,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000133-0003-8c9b857b83a99174.parquet",
-      "sha256": "8c9b857b83a9917453dce7d75541faeb17395341b9bcebbc6776af55d0206749",
-      "bytes": 46860,
-      "rows": 9,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6681",
     "deepseek:thm_6682",
@@ -165,5 +121,49 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006697.lean\",\"7480be5b567a61b1a6cd238fffbe4c7fdd74c820d9966480660cf2d3f331f11a\",0,\"thm_6728\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006698.lean\",\"233109acdeee6f0c7bd697b69990b8b878572a9fe686dc59171e78f029c6d50c\",0,\"thm_6729\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006699.lean\",\"c3ec0e03118d06a4169cb6034742a25028da4166a363abf7ad849361b0108b51\",0,\"thm_6730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305777,
+      "path": "data/train/p19/deepseek-000133-0000-b034d39594bb21da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "b034d39594bb21da0d2b0d784203f1edbae64a572a99158b1bda2bfee945882d"
+    },
+    {
+      "bytes": 33893,
+      "path": "data/dev/p19/deepseek-000133-0000-fed7cffbd761f01e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fed7cffbd761f01e6bccb927679d94223dd7461edee1e29f91605a6b6f2bc2a4"
+    },
+    {
+      "bytes": 28864,
+      "path": "data/internal_test/p19/deepseek-000133-0000-58b49cd71c5567f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "58b49cd71c5567f7ddfadc182705e995ae56caad515e99b7e8074beb4c81d70b"
+    },
+    {
+      "bytes": 118171,
+      "path": "data/internal_test/p19/deepseek-000133-0001-34d2d787bddf7991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "34d2d787bddf79914525ff543d2346a5c9332c976707e887f031527b1a213fcd"
+    },
+    {
+      "bytes": 110192,
+      "path": "data/internal_test/p19/deepseek-000133-0002-9ccaf08d4ba44450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9ccaf08d4ba44450a6e5d9e09439ce5d156d809494093574deed2f169cd675cf"
+    },
+    {
+      "bytes": 46860,
+      "path": "data/internal_test/p19/deepseek-000133-0003-8c9b857b83a99174.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8c9b857b83a9917453dce7d75541faeb17395341b9bcebbc6776af55d0206749"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000134.json b/manifests/batches/deepseek/000134.json
index ab628c909501a72c23619972def61d9cf041ac75..4413239aab914e1561aef549e925345ba9bf5b34 100644
--- a/manifests/batches/deepseek/000134.json
+++ b/manifests/batches/deepseek/000134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000134",
   "batch_fingerprint": "5862aef78afa9ad373390c13e192264c4602f1de9a38321ffb6dfd7e619ebb8c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000134-0000-24da170632408a23.parquet",
-      "sha256": "24da170632408a237a2b5466ece007f1a281d07a3094ac0644ebebcef99f73da",
-      "bytes": 415166,
-      "rows": 128,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000134-0000-58e5702d8b5acbc1.parquet",
-      "sha256": "58e5702d8b5acbc15f56a548b4679afb6b75dd454ee47d5d7a14402dc2069b3f",
-      "bytes": 50333,
-      "rows": 4,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000134-0000-52d232b2de072226.parquet",
-      "sha256": "52d232b2de072226eb2df6add56ff46fcfdf80fd6fe877c1973b11a79978e48f",
-      "bytes": 55032,
-      "rows": 11,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6731",
     "deepseek:thm_6732",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006747.lean\",\"56d3cdf9f0324e5471f4289ffebc926f3fdba85169784c4db131d35ece60ff7c\",0,\"thm_6779\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006748.lean\",\"dd248c6b632a83e0dda3071645d17d70f2214a48d59ef556d01a01c6b6647566\",0,\"thm_6780\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006749.lean\",\"99f177a351c1dee1d8c57cc0fbe740a04e377f448b9b75abe4e3c849b367cb85\",0,\"thm_6781\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415166,
+      "path": "data/train/p39/deepseek-000134-0000-24da170632408a23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 128,
+      "sha256": "24da170632408a237a2b5466ece007f1a281d07a3094ac0644ebebcef99f73da"
+    },
+    {
+      "bytes": 50333,
+      "path": "data/dev/p39/deepseek-000134-0000-58e5702d8b5acbc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "58e5702d8b5acbc15f56a548b4679afb6b75dd454ee47d5d7a14402dc2069b3f"
+    },
+    {
+      "bytes": 55032,
+      "path": "data/internal_test/p39/deepseek-000134-0000-52d232b2de072226.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "52d232b2de072226eb2df6add56ff46fcfdf80fd6fe877c1973b11a79978e48f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000135.json b/manifests/batches/deepseek/000135.json
index d0161dd3bd7fba647c074a51c90e7d8a553c1f7a..80632373f497bb2d9799d6b0dbe5a2e79ffd5f85 100644
--- a/manifests/batches/deepseek/000135.json
+++ b/manifests/batches/deepseek/000135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000135",
   "batch_fingerprint": "f0eee95452f6e2d01d208d62c6f986d8464d3b9a72fb74f2795cc33af0dca400",
   "evidence": {
@@ -57,22 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000135-0000-5599030c61753629.parquet",
-      "sha256": "5599030c617536293f339694d61b37c4d17b6ddc6df83dbed9f27dd252a71e85",
-      "bytes": 360156,
-      "rows": 108,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/internal_test/deepseek-000135-0000-bdc8758b18a89a9a.parquet",
-      "sha256": "bdc8758b18a89a9ae792a7849a15db0c73bb71b60fc9a3bc424eaa893a6973c1",
-      "bytes": 46274,
-      "rows": 11,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6782",
     "deepseek:thm_6783",
@@ -172,5 +156,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006797.lean\",\"e33c7594055d843ac2a3a24395275f826097ca476ae31d4727bf64dbe02b6cdb\",0,\"thm_6829\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006798.lean\",\"c3609d924a7b7ff65276b1b7ff6742b2bd7f7df5ce60c81900284211feffc781\",0,\"thm_6830\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006799.lean\",\"7aa232cf2d5f51a16663f17f69275554383d2985a1795f90a0f773cad16e2f4c\",0,\"thm_6831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360156,
+      "path": "data/train/pbb/deepseek-000135-0000-5599030c61753629.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "5599030c617536293f339694d61b37c4d17b6ddc6df83dbed9f27dd252a71e85"
+    },
+    {
+      "bytes": 46274,
+      "path": "data/internal_test/pbb/deepseek-000135-0000-bdc8758b18a89a9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bdc8758b18a89a9ae792a7849a15db0c73bb71b60fc9a3bc424eaa893a6973c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000136.json b/manifests/batches/deepseek/000136.json
index 49185aa49c5e4746429f3d7e55acaf1d1a75248f..b95c2b79a55bf669f4d4c7393a26bf9015651781 100644
--- a/manifests/batches/deepseek/000136.json
+++ b/manifests/batches/deepseek/000136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000136",
   "batch_fingerprint": "6a6ffe52d7d4da38e11f43b77cdcc258b6b30d89e8e86ac4e6ab3d1d7ac34a32",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000136-0000-bd5edfd847a553b1.parquet",
-      "sha256": "bd5edfd847a553b19b9ce3d12341612f8d5bc19faa5cf67e7d7071953280d3b5",
-      "bytes": 330128,
-      "rows": 95,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000136-0000-f81a8071c8ccb651.parquet",
-      "sha256": "f81a8071c8ccb65103280a93dd27922d9c18756f24c6b3f70f0acbcfaa70c129",
-      "bytes": 44761,
-      "rows": 7,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000136-0000-bcf895d888732db9.parquet",
-      "sha256": "bcf895d888732db9b2e45ce9d16446db1af091d656a93e7b6681d655085f263f",
-      "bytes": 42597,
-      "rows": 6,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6832",
     "deepseek:thm_6833",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006847.lean\",\"e7a21911278fcc09cd8f3aa86c7436e56762437c77a5ec177b790ce8e2e87b9a\",0,\"thm_6879\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006848.lean\",\"3b5186622ab654c82cb24b37ece019c466e9b3d1e77c85d96bfbd9f9cc58a91d\",0,\"thm_6880\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006849.lean\",\"a04e5557ac12fb6168602efe80ba402f089eabac940a9b8427e97e0708bfd8e6\",0,\"thm_6881\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330128,
+      "path": "data/train/p9b/deepseek-000136-0000-bd5edfd847a553b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "bd5edfd847a553b19b9ce3d12341612f8d5bc19faa5cf67e7d7071953280d3b5"
+    },
+    {
+      "bytes": 44761,
+      "path": "data/dev/p9b/deepseek-000136-0000-f81a8071c8ccb651.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f81a8071c8ccb65103280a93dd27922d9c18756f24c6b3f70f0acbcfaa70c129"
+    },
+    {
+      "bytes": 42597,
+      "path": "data/internal_test/p9b/deepseek-000136-0000-bcf895d888732db9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bcf895d888732db9b2e45ce9d16446db1af091d656a93e7b6681d655085f263f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000137.json b/manifests/batches/deepseek/000137.json
index 498860c65f9e76e840c914a5ee451c74d57cfea5..4ac9b1248ad7ee56502fe4e07eb13f91c629bb27 100644
--- a/manifests/batches/deepseek/000137.json
+++ b/manifests/batches/deepseek/000137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000137",
   "batch_fingerprint": "1b2c0a259d3cff6980d2729d2bd1d26c086ea6400a1bcc5400f7749a7b8f459e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000137-0000-934424fabcb4d08d.parquet",
-      "sha256": "934424fabcb4d08dc95584869e5c888f78d1d0cd896a9349482a30a06eb14238",
-      "bytes": 360220,
-      "rows": 107,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/deepseek-000137-0000-38aa36d9bf548730.parquet",
-      "sha256": "38aa36d9bf5487305177a5d6f36cf9852ae76302568a270f932e2a20cfb77c4b",
-      "bytes": 36848,
-      "rows": 4,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000137-0000-205a53aad8505beb.parquet",
-      "sha256": "205a53aad8505beb256ccccf18e81001e80fb6d7ff9e7e4f0959066d42524fcd",
-      "bytes": 40589,
-      "rows": 7,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6882",
     "deepseek:thm_6883",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006897.lean\",\"ff974c674f328dec411b3f83653a5798a5b541ec2c52c8e239b851e29ba80510\",0,\"thm_6929\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006898.lean\",\"d728be827b48d6a6faa794ef38539d0b73b6160a8cc02cc7060ea401ea5f8d3a\",0,\"thm_6930\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006899.lean\",\"e18b8f59bee8a7257572e02a152e16b819eba1f502e1dd91fcc0ae1fcd7354ae\",0,\"thm_6931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360220,
+      "path": "data/train/p40/deepseek-000137-0000-934424fabcb4d08d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "934424fabcb4d08dc95584869e5c888f78d1d0cd896a9349482a30a06eb14238"
+    },
+    {
+      "bytes": 36848,
+      "path": "data/dev/p40/deepseek-000137-0000-38aa36d9bf548730.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "38aa36d9bf5487305177a5d6f36cf9852ae76302568a270f932e2a20cfb77c4b"
+    },
+    {
+      "bytes": 40589,
+      "path": "data/internal_test/p40/deepseek-000137-0000-205a53aad8505beb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "205a53aad8505beb256ccccf18e81001e80fb6d7ff9e7e4f0959066d42524fcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000138.json b/manifests/batches/deepseek/000138.json
index 9cea6fd15a64325122653af21f6161e3d7b2bbf8..dd7f72aaeeb6d20f245a5dd22d98e5e4c05fb200 100644
--- a/manifests/batches/deepseek/000138.json
+++ b/manifests/batches/deepseek/000138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000138",
   "batch_fingerprint": "64e43911dfd9ead9c7b82ef178274acaeea4f772e8f59f04b751c837cecfdfb9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000138-0000-ba5d3e925d0962ce.parquet",
-      "sha256": "ba5d3e925d0962cefc35f7d6d835d4122eb13dbaa90a492d2a1093d6c0af435a",
-      "bytes": 365381,
-      "rows": 108,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000138-0000-424fcf99bd8331b2.parquet",
-      "sha256": "424fcf99bd8331b20ad9ede5bd996120ed1746aeb9bf9204e7a457637a91e8e4",
-      "bytes": 32298,
-      "rows": 3,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000138-0000-71339864d78060b2.parquet",
-      "sha256": "71339864d78060b2bc2b00fb72a23bb5118777c83134d21410829e2a1de369b9",
-      "bytes": 53871,
-      "rows": 8,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6932",
     "deepseek:thm_6933",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006947.lean\",\"6801d3e81a4ae069088bb7e359378b860e0d17b900ab8849f6dffb4c5e562981\",0,\"thm_6979\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006948.lean\",\"f7d802602526ea50b25e42ec9f31c79e5ee1db195e447225663d0c34726299dd\",0,\"thm_6980\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006949.lean\",\"42e7ef2cad5bf302df2e967bbfc37a3dd59ba4f6cd06147ef9be85b6413e2a45\",0,\"thm_6981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365381,
+      "path": "data/train/p35/deepseek-000138-0000-ba5d3e925d0962ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "ba5d3e925d0962cefc35f7d6d835d4122eb13dbaa90a492d2a1093d6c0af435a"
+    },
+    {
+      "bytes": 32298,
+      "path": "data/dev/p35/deepseek-000138-0000-424fcf99bd8331b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "424fcf99bd8331b20ad9ede5bd996120ed1746aeb9bf9204e7a457637a91e8e4"
+    },
+    {
+      "bytes": 53871,
+      "path": "data/internal_test/p35/deepseek-000138-0000-71339864d78060b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "71339864d78060b2bc2b00fb72a23bb5118777c83134d21410829e2a1de369b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000139.json b/manifests/batches/deepseek/000139.json
index bbfce56c3042e531a607c15863a29be517f4dfc1..a4a67e499268f7622be944526357e31c45d9241f 100644
--- a/manifests/batches/deepseek/000139.json
+++ b/manifests/batches/deepseek/000139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000139",
   "batch_fingerprint": "6d146b428fa57486835fa835e058a977d99d293b7601583ba9cc1433dcb5b796",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000139-0000-80175ed30c3735ea.parquet",
-      "sha256": "80175ed30c3735ea16675128e64c4773bd7116fc7b1945b0b478fddbdcfad1ea",
-      "bytes": 345165,
-      "rows": 102,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000139-0000-afc493b2c4dff01d.parquet",
-      "sha256": "afc493b2c4dff01dc1fdc6f4992b7b07ffda95b69be22a71448ed3a1b5808b30",
-      "bytes": 34983,
-      "rows": 3,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000139-0000-b5c6cd496d4101e7.parquet",
-      "sha256": "b5c6cd496d4101e70090fbcdf0089ad6ee4f7f844efed7adc44dd0a44c77de81",
-      "bytes": 67401,
-      "rows": 17,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_6982",
     "deepseek:thm_6983",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006997.lean\",\"d654d3a78f18e95ff804f4169fe31bc4bb7206fc865298b5ce08792c1a6694e1\",0,\"thm_7029\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006998.lean\",\"b31ecd93a9efdd105feac4b42aa4fc192a377a24e92b968dd95c1ec7e81c662d\",0,\"thm_7030\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_006999.lean\",\"85af124072b6ce29f55dda7d0c66946afc3784573e6523f194d3bff29356c49d\",0,\"thm_7031\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345165,
+      "path": "data/train/pa3/deepseek-000139-0000-80175ed30c3735ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "80175ed30c3735ea16675128e64c4773bd7116fc7b1945b0b478fddbdcfad1ea"
+    },
+    {
+      "bytes": 34983,
+      "path": "data/dev/pa3/deepseek-000139-0000-afc493b2c4dff01d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "afc493b2c4dff01dc1fdc6f4992b7b07ffda95b69be22a71448ed3a1b5808b30"
+    },
+    {
+      "bytes": 67401,
+      "path": "data/internal_test/pa3/deepseek-000139-0000-b5c6cd496d4101e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b5c6cd496d4101e70090fbcdf0089ad6ee4f7f844efed7adc44dd0a44c77de81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000140.json b/manifests/batches/deepseek/000140.json
index a4f5bdb3d113da60e46bd92cb2cf7551aac5332d..ea5f5de64ba96b6be11858647ba496a007f90071 100644
--- a/manifests/batches/deepseek/000140.json
+++ b/manifests/batches/deepseek/000140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000140",
   "batch_fingerprint": "610298eaed208769171b8828dda1be9a79ef53e26266189bbaf05775cbf81dca",
   "evidence": {
@@ -74,29 +73,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000140-0000-51f54f86019f9f58.parquet",
-      "sha256": "51f54f86019f9f580b5c56bc3d7925febfd6764a0a9e4da57d04d2e8e96806bb",
-      "bytes": 283672,
-      "rows": 89,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/dev/deepseek-000140-0000-6f9a8a533b75d7bb.parquet",
-      "sha256": "6f9a8a533b75d7bb49575a85e02283f7f4588c43fe107e5f8999abe068593c1b",
-      "bytes": 35669,
-      "rows": 5,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/internal_test/deepseek-000140-0000-9a3d596aa81f3a88.parquet",
-      "sha256": "9a3d596aa81f3a8866e895f42417cc5b6d853d5cb7666d4e6932ceee86daebfa",
-      "bytes": 44283,
-      "rows": 6,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7032",
     "deepseek:thm_7034",
@@ -194,5 +171,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007047.lean\",\"5978fde6b5f0dbd5b4ca51fb4e9105cdb011fa97fc57789681d55503170e29e9\",0,\"thm_7079\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007048.lean\",\"63f8e0d686f004a6222d006f3c756c2c2271d41162338e3e99726560e7bb8cb5\",0,\"thm_7080\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007049.lean\",\"8541597d66983ca3b1d509f0b151b804f6cf2df52dbb63ea7dbe23dbb577d555\",0,\"thm_7081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283672,
+      "path": "data/train/pce/deepseek-000140-0000-51f54f86019f9f58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "51f54f86019f9f580b5c56bc3d7925febfd6764a0a9e4da57d04d2e8e96806bb"
+    },
+    {
+      "bytes": 35669,
+      "path": "data/dev/pce/deepseek-000140-0000-6f9a8a533b75d7bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6f9a8a533b75d7bb49575a85e02283f7f4588c43fe107e5f8999abe068593c1b"
+    },
+    {
+      "bytes": 44283,
+      "path": "data/internal_test/pce/deepseek-000140-0000-9a3d596aa81f3a88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9a3d596aa81f3a8866e895f42417cc5b6d853d5cb7666d4e6932ceee86daebfa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000141.json b/manifests/batches/deepseek/000141.json
index b7b7e82d25ad920fc03e8821e8378677ec3f440b..5790af7281d8c8e4263468212b9a3bf7e7b50e59 100644
--- a/manifests/batches/deepseek/000141.json
+++ b/manifests/batches/deepseek/000141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000141",
   "batch_fingerprint": "820d7c7d29a6ff3a9b5ac48b071cb52f7a4e65421c9fca0152d5ff567b3ca76e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000141-0000-7d52bf5bfb6d6db6.parquet",
-      "sha256": "7d52bf5bfb6d6db66bd70a854ef59870b06a6e4e32aeef03856467411b03a9c4",
-      "bytes": 328560,
-      "rows": 100,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000141-0000-fff831c14bd452e5.parquet",
-      "sha256": "fff831c14bd452e5edf0ed19ccca9210902973257f19290a238a60e602606f74",
-      "bytes": 30286,
-      "rows": 4,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000141-0000-c21daa49e1b315a0.parquet",
-      "sha256": "c21daa49e1b315a03848f98d474a254dc2e4c23e94d25d56aa137a68c50e7d1c",
-      "bytes": 53716,
-      "rows": 10,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7082",
     "deepseek:thm_7083",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007097.lean\",\"c4c254c5b811192d1f957635bba5aa8b794b887cd02b31ae55a71d12ee20c542\",0,\"thm_7129\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007098.lean\",\"4e64bf64042ecd22497bdece2e1b353ef97da87f456d18dc8367475b2fff0dbb\",0,\"thm_7130\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007099.lean\",\"888efa3849c9b3c396ce83a5bdebbd210f9a04a2890c502f43efd5eea08f7c39\",0,\"thm_7131\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328560,
+      "path": "data/train/p99/deepseek-000141-0000-7d52bf5bfb6d6db6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "7d52bf5bfb6d6db66bd70a854ef59870b06a6e4e32aeef03856467411b03a9c4"
+    },
+    {
+      "bytes": 30286,
+      "path": "data/dev/p99/deepseek-000141-0000-fff831c14bd452e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fff831c14bd452e5edf0ed19ccca9210902973257f19290a238a60e602606f74"
+    },
+    {
+      "bytes": 53716,
+      "path": "data/internal_test/p99/deepseek-000141-0000-c21daa49e1b315a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c21daa49e1b315a03848f98d474a254dc2e4c23e94d25d56aa137a68c50e7d1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000142.json b/manifests/batches/deepseek/000142.json
index 0018a80ba2c59b34047b989dec1c38e9d5e25ff4..c6b9bd99b2a8662571761bbd0321ad1008d4dcbe 100644
--- a/manifests/batches/deepseek/000142.json
+++ b/manifests/batches/deepseek/000142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000142",
   "batch_fingerprint": "5bcae785af56e1ac3259b7472178d7661e276b94276ff1cc681e8e5a76a1d04b",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000142-0000-56ff8513718d5cee.parquet",
-      "sha256": "56ff8513718d5cee182f33a803930e5408a36e5bb8a2379373f898445f268f3b",
-      "bytes": 332098,
-      "rows": 101,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000142-0000-da7253b73f29eba0.parquet",
-      "sha256": "da7253b73f29eba07708bcc1603f6b0db1d3dcbaaa11ddb50a74f9306bbd0ed8",
-      "bytes": 50602,
-      "rows": 12,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000142-0000-b30be9ac4f9a47af.parquet",
-      "sha256": "b30be9ac4f9a47af7f8a91573e518a8718c89879841941b37e6ffef1b63abf47",
-      "bytes": 38659,
-      "rows": 5,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7132",
     "deepseek:thm_7133",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007147.lean\",\"eaff48a156b737e820287e3a67f973e53735176c598d76788cabcaadedc35375\",0,\"thm_7179\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007148.lean\",\"35c095f7e6567a66953989c3919de5d291c901b26242c6eeb095559bbb8c9b13\",0,\"thm_7180\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007149.lean\",\"626ae1e5100f1e5cc813495f91a90cfd56773eb64827f108220a514e2edebd6e\",0,\"thm_7181\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332098,
+      "path": "data/train/p06/deepseek-000142-0000-56ff8513718d5cee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "56ff8513718d5cee182f33a803930e5408a36e5bb8a2379373f898445f268f3b"
+    },
+    {
+      "bytes": 50602,
+      "path": "data/dev/p06/deepseek-000142-0000-da7253b73f29eba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "da7253b73f29eba07708bcc1603f6b0db1d3dcbaaa11ddb50a74f9306bbd0ed8"
+    },
+    {
+      "bytes": 38659,
+      "path": "data/internal_test/p06/deepseek-000142-0000-b30be9ac4f9a47af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b30be9ac4f9a47af7f8a91573e518a8718c89879841941b37e6ffef1b63abf47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000143.json b/manifests/batches/deepseek/000143.json
index e786609eb7482eb8aafe214da6ea39b9841c467c..fe82fc736d4c557e6cde752db98bd39615c62874 100644
--- a/manifests/batches/deepseek/000143.json
+++ b/manifests/batches/deepseek/000143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000143",
   "batch_fingerprint": "ce48430fe67140793fece2d34dade2cbe8a55b8aa7d36dfd1f25a4a450bb006d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000143-0000-bf6cbcc9a188ea44.parquet",
-      "sha256": "bf6cbcc9a188ea4442e767166e1039a8de1a0cd55a934ae3bfea78bd220c4213",
-      "bytes": 351723,
-      "rows": 106,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000143-0000-f1023bfb02f11847.parquet",
-      "sha256": "f1023bfb02f118470c8260c5af2663b399b66ccea18ab33dcd0b5e3ef9bba193",
-      "bytes": 50496,
-      "rows": 2,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000143-0000-a3897f38df9e46a2.parquet",
-      "sha256": "a3897f38df9e46a2f076fe85231dc5d6171dc781b61fa2474650532664fd860e",
-      "bytes": 56758,
-      "rows": 16,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7182",
     "deepseek:thm_7183",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007197.lean\",\"f32bcf533115b2bae72bb29abae08bbc27ea2b7a412143c9236e6cc8138a2092\",0,\"thm_7229\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007198.lean\",\"9afdda6d561c2a7e8acad37485f216388404612bff7620d2f0b2663c02cf6d80\",0,\"thm_7230\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007199.lean\",\"37d8b902c96098079b49babf7baca6403e2359c0dd7ca2cd44881ab934557e07\",0,\"thm_7231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351723,
+      "path": "data/train/p3e/deepseek-000143-0000-bf6cbcc9a188ea44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "bf6cbcc9a188ea4442e767166e1039a8de1a0cd55a934ae3bfea78bd220c4213"
+    },
+    {
+      "bytes": 50496,
+      "path": "data/dev/p3e/deepseek-000143-0000-f1023bfb02f11847.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f1023bfb02f118470c8260c5af2663b399b66ccea18ab33dcd0b5e3ef9bba193"
+    },
+    {
+      "bytes": 56758,
+      "path": "data/internal_test/p3e/deepseek-000143-0000-a3897f38df9e46a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a3897f38df9e46a2f076fe85231dc5d6171dc781b61fa2474650532664fd860e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000144.json b/manifests/batches/deepseek/000144.json
index d3d50326434ec25be76abeb15ce00f76393cfb6f..2a1687500c123c0542f2b1e735db70e66714ae6a 100644
--- a/manifests/batches/deepseek/000144.json
+++ b/manifests/batches/deepseek/000144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000144",
   "batch_fingerprint": "0b7e64df5b04ae04dd5174e531a1b5005828c8149877126b873429d06e760fd5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000144-0000-42a393ea708f24b8.parquet",
-      "sha256": "42a393ea708f24b8f01a178cbafdfb7ec9327b9f880220035c44623e1bdabd1e",
-      "bytes": 327856,
-      "rows": 108,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/dev/deepseek-000144-0000-a51eca98fcae5a15.parquet",
-      "sha256": "a51eca98fcae5a152daece8365e5da29c04493e8f0a2c659169f1ccbf59af379",
-      "bytes": 43077,
-      "rows": 3,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000144-0000-279b514750fc1caa.parquet",
-      "sha256": "279b514750fc1caa2f66e3c590f0d805315efc62858808dd40d0061affcdb7cd",
-      "bytes": 50474,
-      "rows": 9,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7232",
     "deepseek:thm_7233",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007247.lean\",\"093b0bda687592c3938cede5cb2429d8eba1a6cb75f236213e6218b75801f37d\",0,\"thm_7279\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007248.lean\",\"d76e42f4ec906cedaa581051b4e23a166aa3a6ec8e000b6ffaa6a1aad5c7b62b\",0,\"thm_7280\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007249.lean\",\"9e398f27295c5aa6ac400b8421d79bf284f7dc434bd7948c1727bfe168b90944\",0,\"thm_7281\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327856,
+      "path": "data/train/pad/deepseek-000144-0000-42a393ea708f24b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "42a393ea708f24b8f01a178cbafdfb7ec9327b9f880220035c44623e1bdabd1e"
+    },
+    {
+      "bytes": 43077,
+      "path": "data/dev/pad/deepseek-000144-0000-a51eca98fcae5a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a51eca98fcae5a152daece8365e5da29c04493e8f0a2c659169f1ccbf59af379"
+    },
+    {
+      "bytes": 50474,
+      "path": "data/internal_test/pad/deepseek-000144-0000-279b514750fc1caa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "279b514750fc1caa2f66e3c590f0d805315efc62858808dd40d0061affcdb7cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000145.json b/manifests/batches/deepseek/000145.json
index 78ef2ff04e24dc7dcc536b053156da13e6ec0df8..c714dd0205c25bbac2aed23bd4fb629e5243feb5 100644
--- a/manifests/batches/deepseek/000145.json
+++ b/manifests/batches/deepseek/000145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000145",
   "batch_fingerprint": "b2d4fb2ecef7e8ea80d2f176e871a237775aee51f7cb87f5da7ca4ff00f8c92e",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000145-0000-7a0dc3b3b11b176a.parquet",
-      "sha256": "7a0dc3b3b11b176af5064961214f4bbc01659ae86028442349a69f6504081939",
-      "bytes": 298388,
-      "rows": 94,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/dev/deepseek-000145-0000-48dd6c2889fbf329.parquet",
-      "sha256": "48dd6c2889fbf32911539228e39182f39352b5b25c404ff2cff1ed3feff0ec54",
-      "bytes": 52454,
-      "rows": 7,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/internal_test/deepseek-000145-0000-5e8fef70b96a2073.parquet",
-      "sha256": "5e8fef70b96a207362ec1d4ec7ad5925c4d32c1072cfeab8e3679820cc1451d4",
-      "bytes": 65127,
-      "rows": 15,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7282",
     "deepseek:thm_7283",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007297.lean\",\"013fa7521bf86494dff48515b1532100d45774ef477e0d51e5d698051659d886\",0,\"thm_7329\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007298.lean\",\"acddcb839377311db4159ff177f6c5b5a4218fcd4583b826adec55b16c217561\",0,\"thm_7330\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007299.lean\",\"e81d1e49863eee9b0bea9ec80847152951717068ff3934e0fea72a472e93b41d\",0,\"thm_7331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298388,
+      "path": "data/train/pfb/deepseek-000145-0000-7a0dc3b3b11b176a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "7a0dc3b3b11b176af5064961214f4bbc01659ae86028442349a69f6504081939"
+    },
+    {
+      "bytes": 52454,
+      "path": "data/dev/pfb/deepseek-000145-0000-48dd6c2889fbf329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "48dd6c2889fbf32911539228e39182f39352b5b25c404ff2cff1ed3feff0ec54"
+    },
+    {
+      "bytes": 65127,
+      "path": "data/internal_test/pfb/deepseek-000145-0000-5e8fef70b96a2073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5e8fef70b96a207362ec1d4ec7ad5925c4d32c1072cfeab8e3679820cc1451d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000146.json b/manifests/batches/deepseek/000146.json
index fa6e5bd98ef5b5698e8448dc6ce2568193e3845d..172d9ed5493fad14a7eec558b2a1f5d0c4f7c93f 100644
--- a/manifests/batches/deepseek/000146.json
+++ b/manifests/batches/deepseek/000146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000146",
   "batch_fingerprint": "59f6e0c0a48ef23e57a0f5f8eefbf188fa1aa7bdbac7e001f664d8156b59692c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000146-0000-9a6c4ce6cdaa348d.parquet",
-      "sha256": "9a6c4ce6cdaa348d8a652612a3c0edbcc2b50685b004be578adf728fd4335b54",
-      "bytes": 372321,
-      "rows": 126,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/dev/deepseek-000146-0000-002fc472fad656c9.parquet",
-      "sha256": "002fc472fad656c9ad4b85b9614c17d11cc71c4b9d00ab891ee855eb37ee1118",
-      "bytes": 31125,
-      "rows": 3,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/internal_test/deepseek-000146-0000-ed5913a05406c9c7.parquet",
-      "sha256": "ed5913a05406c9c7f94576161265e5e50ad98ebe286d8ae84a316add2488ad55",
-      "bytes": 47918,
-      "rows": 13,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7332",
     "deepseek:thm_7333",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007347.lean\",\"18d633018c4d0a5622fcd6cc11eafe8fc5b502408a6036c908869f1af244d468\",0,\"thm_7379\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007348.lean\",\"5ce590a979de10cab69ec54f8698b17aa68af067c05192b04d6d25a4fccedfb7\",0,\"thm_7380\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007349.lean\",\"afdf721365cf211b08fd02c4b0a04395812119cde352f250ec332abcecd4fecf\",0,\"thm_7381\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372321,
+      "path": "data/train/p47/deepseek-000146-0000-9a6c4ce6cdaa348d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 126,
+      "sha256": "9a6c4ce6cdaa348d8a652612a3c0edbcc2b50685b004be578adf728fd4335b54"
+    },
+    {
+      "bytes": 31125,
+      "path": "data/dev/p47/deepseek-000146-0000-002fc472fad656c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "002fc472fad656c9ad4b85b9614c17d11cc71c4b9d00ab891ee855eb37ee1118"
+    },
+    {
+      "bytes": 47918,
+      "path": "data/internal_test/p47/deepseek-000146-0000-ed5913a05406c9c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ed5913a05406c9c7f94576161265e5e50ad98ebe286d8ae84a316add2488ad55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000147.json b/manifests/batches/deepseek/000147.json
index 62b96b7a17db353828f6d48896b884504f03f00c..c15173d89c7393741b722bdc86aef283f3e99684 100644
--- a/manifests/batches/deepseek/000147.json
+++ b/manifests/batches/deepseek/000147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000147",
   "batch_fingerprint": "bfe1ceb56087f2283913f9c7a76e08b37c09c250794ca7061337c2c0ca913f9e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000147-0000-2e7dc364d2c18a6c.parquet",
-      "sha256": "2e7dc364d2c18a6ccdbef2a06aabe24e15200190787762d8580c9b254bc0703d",
-      "bytes": 313029,
-      "rows": 101,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/deepseek-000147-0000-fca5ee570bc2e270.parquet",
-      "sha256": "fca5ee570bc2e2700c8be5126edfe4b388dd8b302e062b03283c463fdf4b25f4",
-      "bytes": 72255,
-      "rows": 7,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000147-0000-0c0d469a3edc6ff1.parquet",
-      "sha256": "0c0d469a3edc6ff17245fefa9aaea48db587bf9c3bd64253966a77619d3109da",
-      "bytes": 55078,
-      "rows": 14,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7382",
     "deepseek:thm_7383",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007397.lean\",\"45387a654f6bb7bc854da06afe3cdccd3bb6bda01c8538f542e5bd3b8f43a7fb\",0,\"thm_7429\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007398.lean\",\"bbdd8f7f87311fd87334d8072407c8c3dfe86ffee3e32c6af38d641ed24f3ca4\",0,\"thm_7430\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007399.lean\",\"177ebe73d5af332a506ddff7134424aec1bdf06571d1b5d8def3b815e0873ce1\",0,\"thm_7431\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313029,
+      "path": "data/train/p29/deepseek-000147-0000-2e7dc364d2c18a6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "2e7dc364d2c18a6ccdbef2a06aabe24e15200190787762d8580c9b254bc0703d"
+    },
+    {
+      "bytes": 72255,
+      "path": "data/dev/p29/deepseek-000147-0000-fca5ee570bc2e270.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fca5ee570bc2e2700c8be5126edfe4b388dd8b302e062b03283c463fdf4b25f4"
+    },
+    {
+      "bytes": 55078,
+      "path": "data/internal_test/p29/deepseek-000147-0000-0c0d469a3edc6ff1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0c0d469a3edc6ff17245fefa9aaea48db587bf9c3bd64253966a77619d3109da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000148.json b/manifests/batches/deepseek/000148.json
index 18c031729f6af5018436b791c17b5775e1851c31..16232e17d9c0532a5cd0346c08869a6edd4b68f9 100644
--- a/manifests/batches/deepseek/000148.json
+++ b/manifests/batches/deepseek/000148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000148",
   "batch_fingerprint": "37b5e3158b209052f7d805db7ef236c304b98ec3bd94a76b10746dce6140f870",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000148-0000-06b6b251aa36454c.parquet",
-      "sha256": "06b6b251aa36454c8e2fdb47dccc28150edfaee0099349ce5c1b5b0dcdb52df7",
-      "bytes": 347230,
-      "rows": 104,
-      "revision": "dcfae0f48ffeb16bf45c84252ead5195de7038f0"
-    },
-    {
-      "path": "data/dev/deepseek-000148-0000-e47d3307ba363aa3.parquet",
-      "sha256": "e47d3307ba363aa3799925687dd526ee52d5aaa2ee71ce752cbeb1fa620c9c63",
-      "bytes": 50038,
-      "rows": 10,
-      "revision": "dcfae0f48ffeb16bf45c84252ead5195de7038f0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000148-0000-f8085a5b5f05fdd1.parquet",
-      "sha256": "f8085a5b5f05fdd103df868c14b6980ec45b09940f87ca5031db5166f4120cfb",
-      "bytes": 41345,
-      "rows": 6,
-      "revision": "dcfae0f48ffeb16bf45c84252ead5195de7038f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7432",
     "deepseek:thm_7433",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007447.lean\",\"4c509a0b8c2bfb20acfb380be6d6f507163d2f3dfbefbc456a6f2ec009739a4a\",0,\"thm_7479\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007448.lean\",\"1ed572c693650983d390f665f8fed74b4749d37d57a90f6bee2a2de86fd3a35d\",0,\"thm_7480\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007449.lean\",\"1fc35ea1422dac1c2958d59d7d0fc8c87c44ca9c888d8e249386b306fd3680c9\",0,\"thm_7481\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347230,
+      "path": "data/train/p29/deepseek-000148-0000-06b6b251aa36454c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "06b6b251aa36454c8e2fdb47dccc28150edfaee0099349ce5c1b5b0dcdb52df7"
+    },
+    {
+      "bytes": 50038,
+      "path": "data/dev/p29/deepseek-000148-0000-e47d3307ba363aa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e47d3307ba363aa3799925687dd526ee52d5aaa2ee71ce752cbeb1fa620c9c63"
+    },
+    {
+      "bytes": 41345,
+      "path": "data/internal_test/p29/deepseek-000148-0000-f8085a5b5f05fdd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f8085a5b5f05fdd103df868c14b6980ec45b09940f87ca5031db5166f4120cfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000149.json b/manifests/batches/deepseek/000149.json
index c169bf9e3d94e1ee8202892ba7d75d60f4218a01..4f0ddd153788512657a7d9b30a2d82bee4af5a9e 100644
--- a/manifests/batches/deepseek/000149.json
+++ b/manifests/batches/deepseek/000149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000149",
   "batch_fingerprint": "c345e3d452f025ea1c6e7c99cb9798a899a35199b27d058306d809988bace58b",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000149-0000-8d724ab0654c1e68.parquet",
-      "sha256": "8d724ab0654c1e68defba1c59548643360a15aa4a63cd2d5dc6d4e842b349981",
-      "bytes": 290760,
-      "rows": 87,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/deepseek-000149-0000-e84322fd609c91f9.parquet",
-      "sha256": "e84322fd609c91f9147fcc499c3679e030822d56b7f426928d29d76334b3c24d",
-      "bytes": 30412,
-      "rows": 2,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000149-0000-455d61c16173ecfc.parquet",
-      "sha256": "455d61c16173ecfc5e3bbf5bbbbd4afe548750aded2e94a3673534b3084fe84f",
-      "bytes": 63746,
-      "rows": 14,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7482",
     "deepseek:thm_7483",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007497.lean\",\"5bc6bfcc7d2c091981eff74037ef2f0c28311135225709247d5192986b7d46ad\",0,\"thm_7529\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007498.lean\",\"33594cdf554d7a4725a4a3263e5d3e8b5b8c6a27dd7cbb6a392040af472a49b9\",0,\"thm_7530\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007499.lean\",\"0bbf8133f9c53b522dee2c7baa21175cf3af2523f9576b0b97f51d1c17fcfb2e\",0,\"thm_7531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290760,
+      "path": "data/train/p47/deepseek-000149-0000-8d724ab0654c1e68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "8d724ab0654c1e68defba1c59548643360a15aa4a63cd2d5dc6d4e842b349981"
+    },
+    {
+      "bytes": 30412,
+      "path": "data/dev/p47/deepseek-000149-0000-e84322fd609c91f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e84322fd609c91f9147fcc499c3679e030822d56b7f426928d29d76334b3c24d"
+    },
+    {
+      "bytes": 63746,
+      "path": "data/internal_test/p47/deepseek-000149-0000-455d61c16173ecfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "455d61c16173ecfc5e3bbf5bbbbd4afe548750aded2e94a3673534b3084fe84f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000150.json b/manifests/batches/deepseek/000150.json
index 2e085c9336c75947f5bf74223cf7865597a39a7c..d753623687f9781674987fcd793f9cbb712faa62 100644
--- a/manifests/batches/deepseek/000150.json
+++ b/manifests/batches/deepseek/000150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000150",
   "batch_fingerprint": "cd3a359d164c2c5123ce493751f12d359daf1c6edbcdac0cabc92d0a16f0e0c9",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000150-0000-8553bfac54e58452.parquet",
-      "sha256": "8553bfac54e584526e659d906e19b2a831a77773f8808635ec33ba1c4414acfd",
-      "bytes": 345927,
-      "rows": 111,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/dev/deepseek-000150-0000-9aaa73263f0a3005.parquet",
-      "sha256": "9aaa73263f0a3005e822f2f71575fc9b7e3a7ca9dcfe2143f77580ae09d4944b",
-      "bytes": 38273,
-      "rows": 5,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/internal_test/deepseek-000150-0000-c4595b0070f440ff.parquet",
-      "sha256": "c4595b0070f440ffcbe0887c443ba37ec1eb8f0e91d5e8e00c85d33208e9252c",
-      "bytes": 32535,
-      "rows": 2,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7532",
     "deepseek:thm_7533",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007547.lean\",\"88f0bf519b76f3332f84c9f86c1591d125aa7c55b74263675b721570999a9dce\",0,\"thm_7579\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007548.lean\",\"c52832bdeacfc97a73d6441093d9b1b8e9c7891193be160c7c249b3386e70912\",0,\"thm_7580\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007549.lean\",\"1129102486325e98853048ef552dcd793ab507edff0379faa23062b2e5b6b04a\",0,\"thm_7581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345927,
+      "path": "data/train/p7c/deepseek-000150-0000-8553bfac54e58452.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "8553bfac54e584526e659d906e19b2a831a77773f8808635ec33ba1c4414acfd"
+    },
+    {
+      "bytes": 38273,
+      "path": "data/dev/p7c/deepseek-000150-0000-9aaa73263f0a3005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9aaa73263f0a3005e822f2f71575fc9b7e3a7ca9dcfe2143f77580ae09d4944b"
+    },
+    {
+      "bytes": 32535,
+      "path": "data/internal_test/p7c/deepseek-000150-0000-c4595b0070f440ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c4595b0070f440ffcbe0887c443ba37ec1eb8f0e91d5e8e00c85d33208e9252c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000151.json b/manifests/batches/deepseek/000151.json
index 3a1bc61a6d19e66628bd0d15297b0e472418ebfd..f4930dc11ca1157ce335eaa1134c699c905b6972 100644
--- a/manifests/batches/deepseek/000151.json
+++ b/manifests/batches/deepseek/000151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000151",
   "batch_fingerprint": "762690c652536ec2a0263e84f5a3ad29401c08f5cfdfd4de2b228d5dfe22d921",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000151-0000-20bd1d901b46a3a3.parquet",
-      "sha256": "20bd1d901b46a3a33389034e5e30bc8df64f7fafd546ae706fcca235d3a86aca",
-      "bytes": 273751,
-      "rows": 81,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/deepseek-000151-0000-dfe26caeda4c9746.parquet",
-      "sha256": "dfe26caeda4c974666b3efe37518b635ed109da860d8814454e70bc5a7327b7d",
-      "bytes": 45968,
-      "rows": 6,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000151-0000-f1b123324f151ad0.parquet",
-      "sha256": "f1b123324f151ad09b284827bcbaac9cbed646008d770044f6f79ef359cfdc5e",
-      "bytes": 61635,
-      "rows": 15,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7582",
     "deepseek:thm_7583",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007597.lean\",\"af67120c91a833f0048c0eac1c34038ce404fb49239412720ff52b11e62eca97\",0,\"thm_7629\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007598.lean\",\"2042dd115b461e260b9fb04ea14b8eb2cd14814ccdf003261249e07f73bc9943\",0,\"thm_7630\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007599.lean\",\"499c2bbb9d55651049a18d8af3216f1d8ab5ef3b8b548321c56a617effc10923\",0,\"thm_7631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273751,
+      "path": "data/train/peb/deepseek-000151-0000-20bd1d901b46a3a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "20bd1d901b46a3a33389034e5e30bc8df64f7fafd546ae706fcca235d3a86aca"
+    },
+    {
+      "bytes": 45968,
+      "path": "data/dev/peb/deepseek-000151-0000-dfe26caeda4c9746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dfe26caeda4c974666b3efe37518b635ed109da860d8814454e70bc5a7327b7d"
+    },
+    {
+      "bytes": 61635,
+      "path": "data/internal_test/peb/deepseek-000151-0000-f1b123324f151ad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f1b123324f151ad09b284827bcbaac9cbed646008d770044f6f79ef359cfdc5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000152.json b/manifests/batches/deepseek/000152.json
index 7ef46f1a4574c0103d279a01d0446fcf0b1ce5b6..47d11b126daac96dd34d3ea42b1523f88cab020b 100644
--- a/manifests/batches/deepseek/000152.json
+++ b/manifests/batches/deepseek/000152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000152",
   "batch_fingerprint": "f67ac112d5ff1f9b2d173e6a960975dedce28b846f4e0d999e6c61a6ed4016dc",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000152-0000-db8075e619e4e0f8.parquet",
-      "sha256": "db8075e619e4e0f855e821c126951806361381c865594343830206ca6a8d7b7a",
-      "bytes": 307780,
-      "rows": 95,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/deepseek-000152-0000-10c6c7423aa850d0.parquet",
-      "sha256": "10c6c7423aa850d0c7a554b89edd519ca7eaf377fbbaa123850c99e665364715",
-      "bytes": 53401,
-      "rows": 9,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000152-0000-2f3807fc8602bed1.parquet",
-      "sha256": "2f3807fc8602bed1fbfff2232194fe1eaeabaa673b97d2c564781295a0f73ebd",
-      "bytes": 74469,
-      "rows": 15,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7632",
     "deepseek:thm_7633",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007647.lean\",\"13f50d18f4426f9826aed6ff8c5d0060d13d40d7c2aff06f9c722c9d33197b49\",0,\"thm_7680\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007648.lean\",\"8bef8a2689054f1e8c160ef5e195651c337ef179b9503914acb3a7651ae6afef\",0,\"thm_7681\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007649.lean\",\"4ff0e5a571293b4a89dc001a41704ce5878b6cddba14628f65c9e70e5b6869f4\",0,\"thm_7682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307780,
+      "path": "data/train/pea/deepseek-000152-0000-db8075e619e4e0f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "db8075e619e4e0f855e821c126951806361381c865594343830206ca6a8d7b7a"
+    },
+    {
+      "bytes": 53401,
+      "path": "data/dev/pea/deepseek-000152-0000-10c6c7423aa850d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "10c6c7423aa850d0c7a554b89edd519ca7eaf377fbbaa123850c99e665364715"
+    },
+    {
+      "bytes": 74469,
+      "path": "data/internal_test/pea/deepseek-000152-0000-2f3807fc8602bed1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2f3807fc8602bed1fbfff2232194fe1eaeabaa673b97d2c564781295a0f73ebd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000153.json b/manifests/batches/deepseek/000153.json
index 3bdb7cb899d81913d2c09d8220b6f6549188e593..243129d129f4c6966099b35f9cfc3b9c65f4a67b 100644
--- a/manifests/batches/deepseek/000153.json
+++ b/manifests/batches/deepseek/000153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000153",
   "batch_fingerprint": "24703440af69d17732264a118878ec930e9ae6c63422c3dc0be23a508dc42650",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000153-0000-c39c39017e1a7d7d.parquet",
-      "sha256": "c39c39017e1a7d7d8dfc562ce66677bf531e96a7902cdbd6634ca8db3ad783ae",
-      "bytes": 247391,
-      "rows": 81,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/dev/deepseek-000153-0000-56d353e787479c16.parquet",
-      "sha256": "56d353e787479c1623ebcfd9730887c4dc003da3381e13acfdc44d1b8b47d7c6",
-      "bytes": 43092,
-      "rows": 6,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/internal_test/deepseek-000153-0000-9a5e3231a83bf462.parquet",
-      "sha256": "9a5e3231a83bf462191f9e6738527265d19ae15ef6c9f4571b8149d7efba1477",
-      "bytes": 80937,
-      "rows": 22,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7683",
     "deepseek:thm_7684",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007697.lean\",\"b602a0661dd76ca36d6d07f2d9a6159677763be3e6fb206b6f22f5cb03714e11\",0,\"thm_7730\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007698.lean\",\"90e47d5d4da808e467fa4d4b965aabe87dfb24121136aa9de7e6e199bed29df4\",0,\"thm_7731\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007699.lean\",\"4a34fa7f7b39ea9a481d4dfd1bd00c1b90223f20087b392d911d9326cdd47e36\",0,\"thm_7732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247391,
+      "path": "data/train/pea/deepseek-000153-0000-c39c39017e1a7d7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "c39c39017e1a7d7d8dfc562ce66677bf531e96a7902cdbd6634ca8db3ad783ae"
+    },
+    {
+      "bytes": 43092,
+      "path": "data/dev/pea/deepseek-000153-0000-56d353e787479c16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "56d353e787479c1623ebcfd9730887c4dc003da3381e13acfdc44d1b8b47d7c6"
+    },
+    {
+      "bytes": 80937,
+      "path": "data/internal_test/pea/deepseek-000153-0000-9a5e3231a83bf462.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9a5e3231a83bf462191f9e6738527265d19ae15ef6c9f4571b8149d7efba1477"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000154.json b/manifests/batches/deepseek/000154.json
index 9fa89ed22611460ccf22a2ecdf136db1a1a21341..cf90de0b82ab4751e11cb3d1486781ea5d911dc7 100644
--- a/manifests/batches/deepseek/000154.json
+++ b/manifests/batches/deepseek/000154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000154",
   "batch_fingerprint": "fc58e39ef6643fbba50872160b6bb2bf06f3e142b0c9c7e6377766a97c5362dd",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000154-0000-6170279fd72973e3.parquet",
-      "sha256": "6170279fd72973e312a98bd0d242af0d7bc904aae2e82e6cb60bc6e5bda4746d",
-      "bytes": 355444,
-      "rows": 109,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/deepseek-000154-0000-558017e1f67d8e48.parquet",
-      "sha256": "558017e1f67d8e48c1e0a8634da54b8db505a0762ffb41ce7b17be3c6ad8f9ec",
-      "bytes": 33570,
-      "rows": 4,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000154-0000-23f419d6cc000dd6.parquet",
-      "sha256": "23f419d6cc000dd6f1fee81fd88e49b27d2cc39a0fb1fa8e00d19573c24bc929",
-      "bytes": 48872,
-      "rows": 8,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7733",
     "deepseek:thm_7734",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007747.lean\",\"351ea410330e54a3908f1e87fd47dcf916d3c0ce8a2ecbaa5dea3277351b233d\",0,\"thm_7780\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007748.lean\",\"a3490af06dbb23b36b667fe6b4fc75d27e632f130d782c00029111cedcb8c72e\",0,\"thm_7781\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007749.lean\",\"74ebba78ff5f586f349860140965d7d85c2a484d3007139e5481a1b256f15bd3\",0,\"thm_7782\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355444,
+      "path": "data/train/p04/deepseek-000154-0000-6170279fd72973e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "6170279fd72973e312a98bd0d242af0d7bc904aae2e82e6cb60bc6e5bda4746d"
+    },
+    {
+      "bytes": 33570,
+      "path": "data/dev/p04/deepseek-000154-0000-558017e1f67d8e48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "558017e1f67d8e48c1e0a8634da54b8db505a0762ffb41ce7b17be3c6ad8f9ec"
+    },
+    {
+      "bytes": 48872,
+      "path": "data/internal_test/p04/deepseek-000154-0000-23f419d6cc000dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "23f419d6cc000dd6f1fee81fd88e49b27d2cc39a0fb1fa8e00d19573c24bc929"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000155.json b/manifests/batches/deepseek/000155.json
index e8fd0f575d285a417c1fff9d896c919574aa3f72..9324f2a07af3e0695f9fa507e42a92f0e251bbbb 100644
--- a/manifests/batches/deepseek/000155.json
+++ b/manifests/batches/deepseek/000155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000155",
   "batch_fingerprint": "d48e64db8e889112ba83f35bbcbdab80875984d441e55170256e95aa2679e083",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000155-0000-4c44305ffab2303a.parquet",
-      "sha256": "4c44305ffab2303af88d43b8d78fcede48d743297d02f91e6a25ebc5d6fc003e",
-      "bytes": 300879,
-      "rows": 81,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/deepseek-000155-0000-8133d2baccf7f14c.parquet",
-      "sha256": "8133d2baccf7f14c8316d50052d8e88110dc96c057afbea0dd10d5002a4fce44",
-      "bytes": 42917,
-      "rows": 5,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000155-0000-ad45bee70a968040.parquet",
-      "sha256": "ad45bee70a968040714c46cb0b837fe6e67097f4453bc5b1872916a27e8ceca2",
-      "bytes": 87196,
-      "rows": 24,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7783",
     "deepseek:thm_7784",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007797.lean\",\"2adfacf2d2f73ba3b6edc4aecb2c9185696270ded813b43933f0e266ffc75d7e\",0,\"thm_7830\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007798.lean\",\"7cf2f00475f0a0d0f6f04ee29256e2363def93d425aee5da334b8adc5aefb689\",0,\"thm_7831\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007799.lean\",\"175fcc15943efd30d3ec5f5c1a3c39e3466bd0ac6de0d574e403110951d276a5\",0,\"thm_7832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300879,
+      "path": "data/train/p79/deepseek-000155-0000-4c44305ffab2303a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "4c44305ffab2303af88d43b8d78fcede48d743297d02f91e6a25ebc5d6fc003e"
+    },
+    {
+      "bytes": 42917,
+      "path": "data/dev/p79/deepseek-000155-0000-8133d2baccf7f14c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8133d2baccf7f14c8316d50052d8e88110dc96c057afbea0dd10d5002a4fce44"
+    },
+    {
+      "bytes": 87196,
+      "path": "data/internal_test/p79/deepseek-000155-0000-ad45bee70a968040.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ad45bee70a968040714c46cb0b837fe6e67097f4453bc5b1872916a27e8ceca2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000156.json b/manifests/batches/deepseek/000156.json
index 3c184b860b845567b70c50c944b2d3a0a9466828..d2ff21b38d7b8bd12147e170b7a7b964eb0022d6 100644
--- a/manifests/batches/deepseek/000156.json
+++ b/manifests/batches/deepseek/000156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000156",
   "batch_fingerprint": "60b05991105efcc1f074c009a2ed8a28b2246298e7f581c7b7ee7c65d5e6d822",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000156-0000-2b8df3e5b0a160ef.parquet",
-      "sha256": "2b8df3e5b0a160ef020358d26008e8a07228e694b001fbc226476ddde9a93a5c",
-      "bytes": 388684,
-      "rows": 115,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7833",
     "deepseek:thm_7834",
@@ -148,5 +139,14 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007847.lean\",\"c5db55d98f26241b87ea510ff1e335e228e91a2260e5d59bb350083e5d465c30\",0,\"thm_7880\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007848.lean\",\"79f6d33110fcbce32fef624a92a2ba4a2a120f02d48fa8a5a26bc3649c7ad35e\",0,\"thm_7881\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007849.lean\",\"83b7a043f753f1bb66399d3b6faef0dd259ea7fe1e3e823e1487d0663ace48e9\",0,\"thm_7882\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388684,
+      "path": "data/train/p51/deepseek-000156-0000-2b8df3e5b0a160ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "2b8df3e5b0a160ef020358d26008e8a07228e694b001fbc226476ddde9a93a5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000157.json b/manifests/batches/deepseek/000157.json
index c20dbf9bc0be39190d5eb051cf0dfae98729308c..1cfa52807ef66a53a5ea78dfa3d737c1bac39df5 100644
--- a/manifests/batches/deepseek/000157.json
+++ b/manifests/batches/deepseek/000157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000157",
   "batch_fingerprint": "c7d10f331d1eeed614fb6c235b49341a84cb6e178e7312b7c9acb86761d956ae",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000157-0000-dfc4211770a522d1.parquet",
-      "sha256": "dfc4211770a522d145b7ed3924d728293d4217b7bd2fa93a85ba779fb3e999e0",
-      "bytes": 305755,
-      "rows": 95,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/deepseek-000157-0000-3ac1f43f136ace5e.parquet",
-      "sha256": "3ac1f43f136ace5e3dab692d32b12744ca47a2a3dc79d1d424c4b7b265cfec30",
-      "bytes": 38227,
-      "rows": 3,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000157-0000-fa7449bbb74b16f3.parquet",
-      "sha256": "fa7449bbb74b16f3ed42d1f5f3e6c7f708d3c2b064dafa66b49ba6bdd75cc715",
-      "bytes": 50547,
-      "rows": 13,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7883",
     "deepseek:thm_7884",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007897.lean\",\"7bb3bd6eaa9be1f91ddb0f0b14c68a84b8e08685990fc081cc4b90cade4b2d39\",0,\"thm_7930\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007898.lean\",\"aa35e5b2d97d82a83ea16472c9cb7577ba11204996fad0e6eeebece615c80e20\",0,\"thm_7931\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007899.lean\",\"9039ea227c101206b451ad123403ef87878dd7d56575a7790f43917463a41c50\",0,\"thm_7932\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305755,
+      "path": "data/train/p28/deepseek-000157-0000-dfc4211770a522d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "dfc4211770a522d145b7ed3924d728293d4217b7bd2fa93a85ba779fb3e999e0"
+    },
+    {
+      "bytes": 38227,
+      "path": "data/dev/p28/deepseek-000157-0000-3ac1f43f136ace5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3ac1f43f136ace5e3dab692d32b12744ca47a2a3dc79d1d424c4b7b265cfec30"
+    },
+    {
+      "bytes": 50547,
+      "path": "data/internal_test/p28/deepseek-000157-0000-fa7449bbb74b16f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fa7449bbb74b16f3ed42d1f5f3e6c7f708d3c2b064dafa66b49ba6bdd75cc715"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000158.json b/manifests/batches/deepseek/000158.json
index 018b5651beb64711cd7629ea3a37c5835ba4b9fe..40541c64ebc2d8c77f4201edd902e4e7ec1affad 100644
--- a/manifests/batches/deepseek/000158.json
+++ b/manifests/batches/deepseek/000158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000158",
   "batch_fingerprint": "f4906122ea59bc11b967532b634af06a84ec1008c266c4ba98151fcb6175aa63",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000158-0000-c014999f8b03546f.parquet",
-      "sha256": "c014999f8b03546f3aa69d6caadee61968dc7c738b23381eb8ddabb9e49a322e",
-      "bytes": 416774,
-      "rows": 109,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/deepseek-000158-0000-f5915f5118aefd47.parquet",
-      "sha256": "f5915f5118aefd47fb5c4d506fe0f178ac05aa3afd01d938c09654f8a74c54a5",
-      "bytes": 42818,
-      "rows": 2,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7933",
     "deepseek:thm_7934",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007947.lean\",\"1d3c69598c425de3b84c713c1452f6a15b91bb1c5e761e5c58edd82fdb4aa7ef\",0,\"thm_7980\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007948.lean\",\"5a9b5a3fd8b501012f2aa0e50ea87d3a93fdbd04800e46a31212957211239dbf\",0,\"thm_7981\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007949.lean\",\"f2592b558b2af8455c648c7b23b185483f0728aafdc73a4ec61b69c00d58ef87\",0,\"thm_7982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416774,
+      "path": "data/train/p22/deepseek-000158-0000-c014999f8b03546f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "c014999f8b03546f3aa69d6caadee61968dc7c738b23381eb8ddabb9e49a322e"
+    },
+    {
+      "bytes": 42818,
+      "path": "data/dev/p22/deepseek-000158-0000-f5915f5118aefd47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f5915f5118aefd47fb5c4d506fe0f178ac05aa3afd01d938c09654f8a74c54a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000159.json b/manifests/batches/deepseek/000159.json
index 4bc46e4b6e12f05500bc3b3105ed7bca757d8a3f..a50956edd65254a5a21aa483e342f56c865daf39 100644
--- a/manifests/batches/deepseek/000159.json
+++ b/manifests/batches/deepseek/000159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000159",
   "batch_fingerprint": "dac00bfcd26be1b7c4730d2854977eb7221e924d1a841529ad81d19620a8ae92",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000159-0000-4d3b7404cc69d756.parquet",
-      "sha256": "4d3b7404cc69d75617cded698e8073c5a944b0d5147e706b4cff25ca36109e13",
-      "bytes": 307682,
-      "rows": 98,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/deepseek-000159-0000-5b0b62db897dd806.parquet",
-      "sha256": "5b0b62db897dd806735a63a8c33a7e487ab7da8cb5c5116b23e269874f3e72a1",
-      "bytes": 59108,
-      "rows": 17,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000159-0000-220b25a6fa334fe8.parquet",
-      "sha256": "220b25a6fa334fe8a4fd6282219748cdefc8babf7d27d0badd55a9ebdf2e2d3c",
-      "bytes": 52152,
-      "rows": 7,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_7983",
     "deepseek:thm_7984",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007997.lean\",\"620423916e7e08295888a2bb67f35f2e23d4b90142177ec3920f29b98a3800c0\",0,\"thm_8030\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007998.lean\",\"a09dfcb9fd089eaf361aa19ae2f9c944b00e1c6e43466b084a3037d80e5fbe94\",0,\"thm_8031\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_007999.lean\",\"81b716c4c634a3dac3040c1ade6ac364a24af1c71de79804ac601856b8973937\",0,\"thm_8032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307682,
+      "path": "data/train/pec/deepseek-000159-0000-4d3b7404cc69d756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "4d3b7404cc69d75617cded698e8073c5a944b0d5147e706b4cff25ca36109e13"
+    },
+    {
+      "bytes": 59108,
+      "path": "data/dev/pec/deepseek-000159-0000-5b0b62db897dd806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5b0b62db897dd806735a63a8c33a7e487ab7da8cb5c5116b23e269874f3e72a1"
+    },
+    {
+      "bytes": 52152,
+      "path": "data/internal_test/pec/deepseek-000159-0000-220b25a6fa334fe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "220b25a6fa334fe8a4fd6282219748cdefc8babf7d27d0badd55a9ebdf2e2d3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000160.json b/manifests/batches/deepseek/000160.json
index 55a5ae24f82f9d73df90e45624ffd7a254bb35ec..d29e3d516b223cdd32ca55103d8d541ea27bc02a 100644
--- a/manifests/batches/deepseek/000160.json
+++ b/manifests/batches/deepseek/000160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000160",
   "batch_fingerprint": "3efa91148f2dff2715424aeedeff7406df78a08fe8a065445996410ccac66eea",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000160-0000-50c171a3ded0273c.parquet",
-      "sha256": "50c171a3ded0273c1dadabd2e8d5a0b5e38ff33fb0a7acc587f081dd439ef6f2",
-      "bytes": 293337,
-      "rows": 89,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/deepseek-000160-0000-c74cee1d932533d3.parquet",
-      "sha256": "c74cee1d932533d34ff4efb780de31d14b497f797865a50fbe146927c2e5e734",
-      "bytes": 30562,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000160-0000-6a4964b62e88e964.parquet",
-      "sha256": "6a4964b62e88e9645f82c0078497b02bf0f833e8ac8c7ffa239eb79674e43858",
-      "bytes": 81662,
-      "rows": 21,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8033",
     "deepseek:thm_8034",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008047.lean\",\"a6aa2a521cde5d0ef9914f40aba4decab51b3252526d6865e6251248ca4b21e5\",0,\"thm_8080\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008048.lean\",\"38d3994d7d7e0c3efd85d012e69ab9c932d732c35b0c4f272f24112bd2636174\",0,\"thm_8081\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008049.lean\",\"0c3392e321c6a664fba61a4afb466214a0623cda2aefc4ea810dfced36602e40\",0,\"thm_8082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293337,
+      "path": "data/train/pb9/deepseek-000160-0000-50c171a3ded0273c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "50c171a3ded0273c1dadabd2e8d5a0b5e38ff33fb0a7acc587f081dd439ef6f2"
+    },
+    {
+      "bytes": 30562,
+      "path": "data/dev/pb9/deepseek-000160-0000-c74cee1d932533d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c74cee1d932533d34ff4efb780de31d14b497f797865a50fbe146927c2e5e734"
+    },
+    {
+      "bytes": 81662,
+      "path": "data/internal_test/pb9/deepseek-000160-0000-6a4964b62e88e964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6a4964b62e88e9645f82c0078497b02bf0f833e8ac8c7ffa239eb79674e43858"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000161.json b/manifests/batches/deepseek/000161.json
index c18780a3713774b1ff9f6106cfcc1be4e45c35d5..97d51f591e977f80c7952edf84f6509ebdfd1484 100644
--- a/manifests/batches/deepseek/000161.json
+++ b/manifests/batches/deepseek/000161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000161",
   "batch_fingerprint": "214ad4e843265ca0d9e0d68603918ce82608f53dcdcf0ac3d86b2962abfe4d15",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000161-0000-5300e307dfe91bdd.parquet",
-      "sha256": "5300e307dfe91bdd953c170748cc93e6b17aa9e46ceb30f31c7f19d73353de42",
-      "bytes": 361090,
-      "rows": 106,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/deepseek-000161-0000-2eff24d24dad33b6.parquet",
-      "sha256": "2eff24d24dad33b60dcded5a2ea6cc4ffabfbf4625efda3d490b1290d679187c",
-      "bytes": 37171,
-      "rows": 5,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000161-0000-4cf4ac8eb6511f68.parquet",
-      "sha256": "4cf4ac8eb6511f687c5d9df38e3969e36d2a9676ce2a7b1fb7de4e86bf587637",
-      "bytes": 44902,
-      "rows": 8,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8083",
     "deepseek:thm_8084",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008096.lean\",\"f4c970f8a13e0402f943df9ddc6fbaeb613ca18bdcc877877bee805b0104f0c4\",0,\"thm_8129\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008097.lean\",\"163a31020ff99916bd48280a9e58fed5cee6530b1c119c1dff7702a05d957816\",0,\"thm_8130\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008099.lean\",\"88cc26a41d3cf2336bf964757950aadee2a230f287a7f6d589e984ab3888d63e\",0,\"thm_8132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361090,
+      "path": "data/train/pa8/deepseek-000161-0000-5300e307dfe91bdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "5300e307dfe91bdd953c170748cc93e6b17aa9e46ceb30f31c7f19d73353de42"
+    },
+    {
+      "bytes": 37171,
+      "path": "data/dev/pa8/deepseek-000161-0000-2eff24d24dad33b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2eff24d24dad33b60dcded5a2ea6cc4ffabfbf4625efda3d490b1290d679187c"
+    },
+    {
+      "bytes": 44902,
+      "path": "data/internal_test/pa8/deepseek-000161-0000-4cf4ac8eb6511f68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4cf4ac8eb6511f687c5d9df38e3969e36d2a9676ce2a7b1fb7de4e86bf587637"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000162.json b/manifests/batches/deepseek/000162.json
index 4f9869329ec2a10e9d8fd37b0679ecc53f651cc8..78dc0f288147dc2cd1be1cf62bcd8c4521ed8b49 100644
--- a/manifests/batches/deepseek/000162.json
+++ b/manifests/batches/deepseek/000162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000162",
   "batch_fingerprint": "df323ca027c82b534d5bf8d077e4400afcdf86eec6b2790ab874fb97f13db614",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000162-0000-1f43eba0ec45d3de.parquet",
-      "sha256": "1f43eba0ec45d3de0c494bb046b55f72586b5677d8ee9ed21800b597e685b409",
-      "bytes": 336905,
-      "rows": 103,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000162-0000-32d8b15f4c247fc5.parquet",
-      "sha256": "32d8b15f4c247fc518c211693207b1b78f89430822f386176ec8929b0378aeb1",
-      "bytes": 36782,
-      "rows": 8,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000162-0000-169b04667e6dfb68.parquet",
-      "sha256": "169b04667e6dfb68c6c1daa0670642ea95b50abebe6254c518b1f5cdc67c6f20",
-      "bytes": 48628,
-      "rows": 8,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8133",
     "deepseek:thm_8134",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008147.lean\",\"6d769c17a88c73b6c9df81e64bc05f3fae9cf9cdc9217fda0c8b723de95613f2\",0,\"thm_8180\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008148.lean\",\"a67aa02603f16cadaede143911e09c3dccb6961eab304aa8f55e0c0d06300535\",0,\"thm_8181\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008149.lean\",\"949133c33172b9f8791a4cf79a8b154d0c6f956045683827b2cebc25a4d05a98\",0,\"thm_8182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336905,
+      "path": "data/train/p46/deepseek-000162-0000-1f43eba0ec45d3de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "1f43eba0ec45d3de0c494bb046b55f72586b5677d8ee9ed21800b597e685b409"
+    },
+    {
+      "bytes": 36782,
+      "path": "data/dev/p46/deepseek-000162-0000-32d8b15f4c247fc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "32d8b15f4c247fc518c211693207b1b78f89430822f386176ec8929b0378aeb1"
+    },
+    {
+      "bytes": 48628,
+      "path": "data/internal_test/p46/deepseek-000162-0000-169b04667e6dfb68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "169b04667e6dfb68c6c1daa0670642ea95b50abebe6254c518b1f5cdc67c6f20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000163.json b/manifests/batches/deepseek/000163.json
index 396fc8204f3c0fa52cf40527bc3186c707bad781..80249a5b15fa942199bf40261595a3668c2736a0 100644
--- a/manifests/batches/deepseek/000163.json
+++ b/manifests/batches/deepseek/000163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000163",
   "batch_fingerprint": "196176679f1ba6752ddf7a355317ad45954a1c2d5347bcad2a144ef904743256",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000163-0000-14416238c3629240.parquet",
-      "sha256": "14416238c362924081a08f4dbeea885a1950add8237458fb48c1f77c0cade2a1",
-      "bytes": 306467,
-      "rows": 93,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000163-0000-87106f73902d8600.parquet",
-      "sha256": "87106f73902d8600b5d530de8c1bf88ef1f870742f00ab033e261d6f0af4e02b",
-      "bytes": 38889,
-      "rows": 5,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000163-0000-fedb1911497ad523.parquet",
-      "sha256": "fedb1911497ad523cd396b39982cac5c9215e0e7eea29666de7cb647fabb7507",
-      "bytes": 80993,
-      "rows": 14,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8183",
     "deepseek:thm_8184",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008197.lean\",\"282b3108aa8af090c2162eeda0c201e8ecb0ee55f808ccf79b08a7f03d83f76d\",0,\"thm_8230\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008198.lean\",\"0b830ce100d770d559ad1229b22b11ad262f16ae8a03ed66028359a4dda48cd9\",0,\"thm_8231\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008199.lean\",\"837cbcd2bbc9a1a9a66e1c28920ff0acd2a41c7107044571ba3e4a597b133393\",0,\"thm_8232\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306467,
+      "path": "data/train/p20/deepseek-000163-0000-14416238c3629240.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "14416238c362924081a08f4dbeea885a1950add8237458fb48c1f77c0cade2a1"
+    },
+    {
+      "bytes": 38889,
+      "path": "data/dev/p20/deepseek-000163-0000-87106f73902d8600.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "87106f73902d8600b5d530de8c1bf88ef1f870742f00ab033e261d6f0af4e02b"
+    },
+    {
+      "bytes": 80993,
+      "path": "data/internal_test/p20/deepseek-000163-0000-fedb1911497ad523.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fedb1911497ad523cd396b39982cac5c9215e0e7eea29666de7cb647fabb7507"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000164.json b/manifests/batches/deepseek/000164.json
index 5eb537a878ea7899ef7cf8645d6870d5007ae471..3d25f3ec13626f613f6057214fa39a1e3c0400ad 100644
--- a/manifests/batches/deepseek/000164.json
+++ b/manifests/batches/deepseek/000164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000164",
   "batch_fingerprint": "d7847de077d0a69d5ef909bf8cd8febe8c1ce8251e42e73228f318d07a6d9445",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000164-0000-6ac3c8737f5b559f.parquet",
-      "sha256": "6ac3c8737f5b559f71c9d9e296b5a5a793b9bda88786c5486e7b381e58dde04b",
-      "bytes": 297087,
-      "rows": 96,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000164-0000-54a8ddcbf6790806.parquet",
-      "sha256": "54a8ddcbf6790806fed741b3afb81cbaf9343fba7f5aa17fa51336fba5341b97",
-      "bytes": 41343,
-      "rows": 9,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000164-0000-b73d0899d103c595.parquet",
-      "sha256": "b73d0899d103c5958fc20e0c36b80abeef171e89a5df60adf0d49c3b7c7be8bf",
-      "bytes": 80928,
-      "rows": 21,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8233",
     "deepseek:thm_8234",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008247.lean\",\"6f6b9bb0db183e7e52b5c4b76c6a3b52b7b5211d356520d1ee1f75e204f17030\",0,\"thm_8280\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008248.lean\",\"dd58ac3c2581d715524b30171857e5f6117bb698711505f8d9ff69b22602e71f\",0,\"thm_8281\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008249.lean\",\"705b4d383bf0b7b677f8bcc47b67ef9a5c8657e75043acf8d0fc48ab988ce2e0\",0,\"thm_8282\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297087,
+      "path": "data/train/p7a/deepseek-000164-0000-6ac3c8737f5b559f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "6ac3c8737f5b559f71c9d9e296b5a5a793b9bda88786c5486e7b381e58dde04b"
+    },
+    {
+      "bytes": 41343,
+      "path": "data/dev/p7a/deepseek-000164-0000-54a8ddcbf6790806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "54a8ddcbf6790806fed741b3afb81cbaf9343fba7f5aa17fa51336fba5341b97"
+    },
+    {
+      "bytes": 80928,
+      "path": "data/internal_test/p7a/deepseek-000164-0000-b73d0899d103c595.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b73d0899d103c5958fc20e0c36b80abeef171e89a5df60adf0d49c3b7c7be8bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000165.json b/manifests/batches/deepseek/000165.json
index 6b24a70c330598b2ed60853e7608ccf1936bf8c4..058cc02ee7197d949560b15a77799cdaf642e368 100644
--- a/manifests/batches/deepseek/000165.json
+++ b/manifests/batches/deepseek/000165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000165",
   "batch_fingerprint": "d42e29503390ecd833d09e81c94b011a0382fdc91199b15d12919f21b55cbcad",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000165-0000-b20a3f17eb184285.parquet",
-      "sha256": "b20a3f17eb184285111aa2e4727948bd31a9d815ab43e0d36ef180c51796816b",
-      "bytes": 359057,
-      "rows": 97,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000165-0000-e0f688ac05dd9b7a.parquet",
-      "sha256": "e0f688ac05dd9b7afacae610ffc7d8a59d4c7d7fb56407d6ee3390fd5d1c19b8",
-      "bytes": 36249,
-      "rows": 7,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000165-0000-dd556da3275b92a7.parquet",
-      "sha256": "dd556da3275b92a7a6b390d5fa7b9883427d1c998d2cdbec0eb5d14180ac6e0d",
-      "bytes": 38909,
-      "rows": 5,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8283",
     "deepseek:thm_8284",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008297.lean\",\"5f9b134cc9da888c2eeff2a6c5339a3a00953ac5c02fe0fadc9dd34477568428\",0,\"thm_8330\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008298.lean\",\"196e7df74aa543620ff4cd0025525d6ea4a9c18cb26a7b47b9ee898fd5eb5927\",0,\"thm_8331\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008299.lean\",\"70e0ebd01fc4dea7ea086980c1682c7c91791f85cba41e9bba1b74478961345f\",0,\"thm_8332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359057,
+      "path": "data/train/p56/deepseek-000165-0000-b20a3f17eb184285.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "b20a3f17eb184285111aa2e4727948bd31a9d815ab43e0d36ef180c51796816b"
+    },
+    {
+      "bytes": 36249,
+      "path": "data/dev/p56/deepseek-000165-0000-e0f688ac05dd9b7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e0f688ac05dd9b7afacae610ffc7d8a59d4c7d7fb56407d6ee3390fd5d1c19b8"
+    },
+    {
+      "bytes": 38909,
+      "path": "data/internal_test/p56/deepseek-000165-0000-dd556da3275b92a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dd556da3275b92a7a6b390d5fa7b9883427d1c998d2cdbec0eb5d14180ac6e0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000166.json b/manifests/batches/deepseek/000166.json
index 76103f321edf69f2520a92fd0e3d8ef222ab2bc6..ba8b1c6d77849a62a2d4420c66eaf6fe936518da 100644
--- a/manifests/batches/deepseek/000166.json
+++ b/manifests/batches/deepseek/000166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000166",
   "batch_fingerprint": "22f8a0b6057eb8d07139463b19803d13aa62d3636df656e6a487de843c7f9995",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000166-0000-ebc0ab84d395514f.parquet",
-      "sha256": "ebc0ab84d395514fe842843166e875dc61504b2756b64c9ccb7d0a1ad7edb2cc",
-      "bytes": 347355,
-      "rows": 100,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000166-0000-e2952c411135ad2b.parquet",
-      "sha256": "e2952c411135ad2bcbfad57f4b0095d3500b4c94af45e21dc6aa88a7f974d273",
-      "bytes": 49102,
-      "rows": 8,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000166-0000-50d492de8d82c38c.parquet",
-      "sha256": "50d492de8d82c38cc93952008c456dea81b640b8dd838254c8482c1b41a75ad2",
-      "bytes": 59838,
-      "rows": 16,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8333",
     "deepseek:thm_8334",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008347.lean\",\"999fd732d0ce1743d4b594dd3422658b09800ebad537b07df1728e743f458e31\",0,\"thm_8380\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008348.lean\",\"21e6edc1b31f2f5d0ca16b7c09a2ceed0ab6ead245e2838d57393d57b5fce5fd\",0,\"thm_8381\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008349.lean\",\"de9471719cacac41bd2d84019f09ee69cf73784340dc5d60ede41e2e6685ac54\",0,\"thm_8382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347355,
+      "path": "data/train/p52/deepseek-000166-0000-ebc0ab84d395514f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "ebc0ab84d395514fe842843166e875dc61504b2756b64c9ccb7d0a1ad7edb2cc"
+    },
+    {
+      "bytes": 49102,
+      "path": "data/dev/p52/deepseek-000166-0000-e2952c411135ad2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e2952c411135ad2bcbfad57f4b0095d3500b4c94af45e21dc6aa88a7f974d273"
+    },
+    {
+      "bytes": 59838,
+      "path": "data/internal_test/p52/deepseek-000166-0000-50d492de8d82c38c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "50d492de8d82c38cc93952008c456dea81b640b8dd838254c8482c1b41a75ad2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000167.json b/manifests/batches/deepseek/000167.json
index 4d7bdd3b922aa5e67693510743703d65dedc7e42..c4fb6a2d0a1bb712c9f301ba2b6dcee239753ccf 100644
--- a/manifests/batches/deepseek/000167.json
+++ b/manifests/batches/deepseek/000167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000167",
   "batch_fingerprint": "f8c56aa102bc25ae228d144a7f227587f9de79ad205214b9ed45b53dc9b5866a",
   "evidence": {
@@ -76,22 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000167-0000-885b6b9d8082edf1.parquet",
-      "sha256": "885b6b9d8082edf18c48d7a5ff2c2cd8936fb8dec1dc2c440fa100bb434a106a",
-      "bytes": 314365,
-      "rows": 94,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000167-0000-ba123ad21b9828bf.parquet",
-      "sha256": "ba123ad21b9828bffe752fde14ff23568ab7f776c4d45342903caa8343bbba5d",
-      "bytes": 52459,
-      "rows": 12,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8383",
     "deepseek:thm_8384",
@@ -189,5 +173,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008395.lean\",\"7e1e9c74f309e5eff151cc05db5cd69d90721e4ea483d95b6175099f7ef2ad3f\",0,\"thm_8428\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008397.lean\",\"b56afcb27e7432714a7b5b97231a8ce99bdbe605304f5d9a9856033fb6ce1432\",0,\"thm_8430\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008399.lean\",\"afeea281502b92ddc1da32145af945cc6d3ba6a756ddbe9acff93630cdf955d1\",0,\"thm_8432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314365,
+      "path": "data/train/p61/deepseek-000167-0000-885b6b9d8082edf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "885b6b9d8082edf18c48d7a5ff2c2cd8936fb8dec1dc2c440fa100bb434a106a"
+    },
+    {
+      "bytes": 52459,
+      "path": "data/internal_test/p61/deepseek-000167-0000-ba123ad21b9828bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ba123ad21b9828bffe752fde14ff23568ab7f776c4d45342903caa8343bbba5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000168.json b/manifests/batches/deepseek/000168.json
index 73288a9c6008cfdbc7e18a6a55e2b97a705f7528..a4a6ab431755239947b0f438de9c074260488714 100644
--- a/manifests/batches/deepseek/000168.json
+++ b/manifests/batches/deepseek/000168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000168",
   "batch_fingerprint": "9a42896ff28ba2baa9f05b477684b1a1aa2f6bed30ffb7dc81da5de12d18c052",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000168-0000-8602b7e3050f63cf.parquet",
-      "sha256": "8602b7e3050f63cfc3a175160f8f9818754cedc087d19aa854b58a44c1822152",
-      "bytes": 287311,
-      "rows": 80,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/deepseek-000168-0000-5d5d275b39dc3210.parquet",
-      "sha256": "5d5d275b39dc32105ffff65bf03a19c625dce6f373bb8adefe2a74599d557e05",
-      "bytes": 41127,
-      "rows": 9,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000168-0000-48cae1a72b6b90cc.parquet",
-      "sha256": "48cae1a72b6b90cc561e716a16d9d9caae86395c75b05b702151c53e78786a26",
-      "bytes": 63747,
-      "rows": 18,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8433",
     "deepseek:thm_8434",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008447.lean\",\"e214c85dce2a29189a5d23b90d525dffacca02ca84c82def922b4e6e64ce297f\",0,\"thm_8480\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008448.lean\",\"db751d09e02d00851fc12bcc6009ec25e51f00884dc3c0dad68e4375e17c6dba\",0,\"thm_8481\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008449.lean\",\"dc7d0a6d61ad0148ec9da4a08803c919a95e2216b7225927d2c13bf3ca347dea\",0,\"thm_8482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287311,
+      "path": "data/train/pf0/deepseek-000168-0000-8602b7e3050f63cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 80,
+      "sha256": "8602b7e3050f63cfc3a175160f8f9818754cedc087d19aa854b58a44c1822152"
+    },
+    {
+      "bytes": 41127,
+      "path": "data/dev/pf0/deepseek-000168-0000-5d5d275b39dc3210.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5d5d275b39dc32105ffff65bf03a19c625dce6f373bb8adefe2a74599d557e05"
+    },
+    {
+      "bytes": 63747,
+      "path": "data/internal_test/pf0/deepseek-000168-0000-48cae1a72b6b90cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "48cae1a72b6b90cc561e716a16d9d9caae86395c75b05b702151c53e78786a26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000169.json b/manifests/batches/deepseek/000169.json
index fc5ac6ca20eace0bdcb4a6972d3da497275e19b1..45203be96498af1b2628605c0feb11322e67c608 100644
--- a/manifests/batches/deepseek/000169.json
+++ b/manifests/batches/deepseek/000169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000169",
   "batch_fingerprint": "d433195b0111d9a9f27c140c97b5ea6e813d7dc1b6291f1d2a80ad31896c3562",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000169-0000-510fec4677e85410.parquet",
-      "sha256": "510fec4677e854103f6cd62c7854903f60433e8fe652c8174009c3b6e4927626",
-      "bytes": 329006,
-      "rows": 100,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/dev/deepseek-000169-0000-c074d9f63cbb573e.parquet",
-      "sha256": "c074d9f63cbb573effa838fbeebc9cb11aaf900a8811fc88192461781e7a734a",
-      "bytes": 33592,
-      "rows": 6,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000169-0000-50dfd411e87d45c6.parquet",
-      "sha256": "50dfd411e87d45c6dd35e51d9ef043bb65343e39fdcfa472c3bf6d568006dfc7",
-      "bytes": 80326,
-      "rows": 17,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8483",
     "deepseek:thm_8484",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008497.lean\",\"0f134b2fb1319aba295f0a792e29f0f967ab2ff6c7869afc8734ee52de465790\",0,\"thm_8530\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008498.lean\",\"24efe259ee303add73e56bf562500bf1bb5a9e7b9690e10cfb5120337456527e\",0,\"thm_8531\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008499.lean\",\"b2356226e7d2ffab852ab6877184da73a352269c4c9970e64acc09356b14b9ec\",0,\"thm_8532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329006,
+      "path": "data/train/pac/deepseek-000169-0000-510fec4677e85410.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "510fec4677e854103f6cd62c7854903f60433e8fe652c8174009c3b6e4927626"
+    },
+    {
+      "bytes": 33592,
+      "path": "data/dev/pac/deepseek-000169-0000-c074d9f63cbb573e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c074d9f63cbb573effa838fbeebc9cb11aaf900a8811fc88192461781e7a734a"
+    },
+    {
+      "bytes": 80326,
+      "path": "data/internal_test/pac/deepseek-000169-0000-50dfd411e87d45c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "50dfd411e87d45c6dd35e51d9ef043bb65343e39fdcfa472c3bf6d568006dfc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000170.json b/manifests/batches/deepseek/000170.json
index 78038ae4ada68300f8b5fb43cb8d0831f987bfdb..5bd33ba29d14465cbe0106d9421ab01cf12a3a19 100644
--- a/manifests/batches/deepseek/000170.json
+++ b/manifests/batches/deepseek/000170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000170",
   "batch_fingerprint": "f42f356c39f464982b762828017910442a4d5d8136ee91708d3676b922c66de7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000170-0000-f09209f9a391f679.parquet",
-      "sha256": "f09209f9a391f67914fb34593630ede59ef64212ee0dceb88ce4605c71cc0073",
-      "bytes": 387114,
-      "rows": 115,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000170-0000-08bfe22ce1b864be.parquet",
-      "sha256": "08bfe22ce1b864bef47fcece1b228945460a7ec83f21097cd3434fafae4a1f87",
-      "bytes": 35862,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000170-0000-ce139a3f77a2514a.parquet",
-      "sha256": "ce139a3f77a2514a9bee99e4f062641cbddeecc79fb6dd1c1eb6e76966cb2454",
-      "bytes": 38439,
-      "rows": 2,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8533",
     "deepseek:thm_8534",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008547.lean\",\"56ca3030d232c774df40724175152bc5386d70efd858137204d29cb3bb908322\",0,\"thm_8580\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008548.lean\",\"cff0f4393fa59c3d14ca8599ff7736a95e31471565c19dfa33264419fa86f9f7\",0,\"thm_8581\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008549.lean\",\"e11c935e0eb1175b0f452ad03723bdbbba867055393b4527c56272b54cac0443\",0,\"thm_8582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387114,
+      "path": "data/train/p6c/deepseek-000170-0000-f09209f9a391f679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "f09209f9a391f67914fb34593630ede59ef64212ee0dceb88ce4605c71cc0073"
+    },
+    {
+      "bytes": 35862,
+      "path": "data/dev/p6c/deepseek-000170-0000-08bfe22ce1b864be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "08bfe22ce1b864bef47fcece1b228945460a7ec83f21097cd3434fafae4a1f87"
+    },
+    {
+      "bytes": 38439,
+      "path": "data/internal_test/p6c/deepseek-000170-0000-ce139a3f77a2514a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ce139a3f77a2514a9bee99e4f062641cbddeecc79fb6dd1c1eb6e76966cb2454"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000171.json b/manifests/batches/deepseek/000171.json
index 531a8671936aa9d1e34e04bb001c82d379ae5552..7c4936c66b2dabb442502e9b62c4f752297b7574 100644
--- a/manifests/batches/deepseek/000171.json
+++ b/manifests/batches/deepseek/000171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000171",
   "batch_fingerprint": "1cbda04cbec4b2dfb897c1b7617d55f332a42f666de66d7c761537737dca4f53",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000171-0000-e9c6e9d6eab9497f.parquet",
-      "sha256": "e9c6e9d6eab9497f525ed3a8903d506e8361159eaa983f40d73e276df8a4eb89",
-      "bytes": 298323,
-      "rows": 90,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000171-0000-c3ee6ad83790f748.parquet",
-      "sha256": "c3ee6ad83790f748e46001c42bbedd8ea6df3a7bd8ced805065aee8c9cfdaa7c",
-      "bytes": 36970,
-      "rows": 5,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000171-0000-f76d5061b658dfe2.parquet",
-      "sha256": "f76d5061b658dfe2706112e441b4935a1224d08ccfb9e2c03c0be8e22cd7d59c",
-      "bytes": 73097,
-      "rows": 17,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8583",
     "deepseek:thm_8584",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008597.lean\",\"8480205578504cff83cffe67469518af881a928091afa72658f9583e7f78ca22\",0,\"thm_8630\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008598.lean\",\"ca43aef66b43ca8d91f59911c22c5208f116b861e4ab245bed0de38e2aea3a57\",0,\"thm_8631\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008599.lean\",\"a99885539123d78b03076257725e83d70bf7a08264d056928a9f628e9aef35fa\",0,\"thm_8632\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298323,
+      "path": "data/train/pc5/deepseek-000171-0000-e9c6e9d6eab9497f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "e9c6e9d6eab9497f525ed3a8903d506e8361159eaa983f40d73e276df8a4eb89"
+    },
+    {
+      "bytes": 36970,
+      "path": "data/dev/pc5/deepseek-000171-0000-c3ee6ad83790f748.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c3ee6ad83790f748e46001c42bbedd8ea6df3a7bd8ced805065aee8c9cfdaa7c"
+    },
+    {
+      "bytes": 73097,
+      "path": "data/internal_test/pc5/deepseek-000171-0000-f76d5061b658dfe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f76d5061b658dfe2706112e441b4935a1224d08ccfb9e2c03c0be8e22cd7d59c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000172.json b/manifests/batches/deepseek/000172.json
index 576ad9d8f5b4afc4fb94894ee465c2664028aac8..756972832c1fcb38b81aceace05908da28a2557b 100644
--- a/manifests/batches/deepseek/000172.json
+++ b/manifests/batches/deepseek/000172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000172",
   "batch_fingerprint": "08a5ad8560803dacd13ae64c2a74f579e8ffa2e4351f75e2d49a39aa4efe441a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000172-0000-7b4bf1137481b4d6.parquet",
-      "sha256": "7b4bf1137481b4d6028333b2071548268500dd953145d0f3db7fa1df28338a83",
-      "bytes": 334592,
-      "rows": 100,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000172-0000-f7f63fef27f87b9e.parquet",
-      "sha256": "f7f63fef27f87b9e21bb7bfde0fc71a32539150dca9c4e34dd3ca9e70709aaaf",
-      "bytes": 40207,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000172-0000-51d1213c1d41e95d.parquet",
-      "sha256": "51d1213c1d41e95dcf4432b12ec341baf30fcc1239e25eba444183e03b89d08c",
-      "bytes": 44012,
-      "rows": 8,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8633",
     "deepseek:thm_8634",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008647.lean\",\"d65306fa9987caa051292fa0f635eaf90058a947a77fd910f8d067186bfe17b3\",0,\"thm_8680\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008648.lean\",\"ae3fd2683d292c03ac2464f164012ec2ec62a1efe94a0117e3a65823ab078ce1\",0,\"thm_8681\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008649.lean\",\"ff48d1d0e96481f4bb7f2391e965350e3dd6004a7e53c73abe9ab56fe2b12bb3\",0,\"thm_8682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334592,
+      "path": "data/train/p44/deepseek-000172-0000-7b4bf1137481b4d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "7b4bf1137481b4d6028333b2071548268500dd953145d0f3db7fa1df28338a83"
+    },
+    {
+      "bytes": 40207,
+      "path": "data/dev/p44/deepseek-000172-0000-f7f63fef27f87b9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f7f63fef27f87b9e21bb7bfde0fc71a32539150dca9c4e34dd3ca9e70709aaaf"
+    },
+    {
+      "bytes": 44012,
+      "path": "data/internal_test/p44/deepseek-000172-0000-51d1213c1d41e95d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "51d1213c1d41e95dcf4432b12ec341baf30fcc1239e25eba444183e03b89d08c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000173.json b/manifests/batches/deepseek/000173.json
index 5908366b321026ac680096485bb6eb375a66c153..9065248247d1357ffe0691f9e2fdefe1fff3bf1c 100644
--- a/manifests/batches/deepseek/000173.json
+++ b/manifests/batches/deepseek/000173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000173",
   "batch_fingerprint": "56a5c04b712018f9cbbea2dee06fe7d26913afdc9dee58eaee3cfd4964eb7189",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000173-0000-f1eb5bbcca122dfe.parquet",
-      "sha256": "f1eb5bbcca122dfe2b4b2790ecaeb0714af6f2a45a50cd923b1497ec68559036",
-      "bytes": 323385,
-      "rows": 88,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000173-0000-872e52e79bf78adb.parquet",
-      "sha256": "872e52e79bf78adb2a6316b6abaf3ef6e1fc16956a7bf5e1acfa329e6d3a12c5",
-      "bytes": 56892,
-      "rows": 7,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000173-0000-0f5a931b115a45e2.parquet",
-      "sha256": "0f5a931b115a45e2ab626907f5cb71465db09c0ac91c4eaf197a0a9230143576",
-      "bytes": 72842,
-      "rows": 20,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8683",
     "deepseek:thm_8684",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008697.lean\",\"0da7dbee0a38c69bfd008873deeebb24fa03d46183553b6c7702a00067d58da6\",0,\"thm_8730\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008698.lean\",\"31f0ff3289e91860ec1612764c24cfe9c231bf8ff37aec3d38a984b7a93c2f36\",0,\"thm_8731\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008699.lean\",\"c9c0bdc2b37eff4c7dac713be3779ac2c8b653e725c0450fac81e8ccacb0be70\",0,\"thm_8732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323385,
+      "path": "data/train/p4e/deepseek-000173-0000-f1eb5bbcca122dfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "f1eb5bbcca122dfe2b4b2790ecaeb0714af6f2a45a50cd923b1497ec68559036"
+    },
+    {
+      "bytes": 56892,
+      "path": "data/dev/p4e/deepseek-000173-0000-872e52e79bf78adb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "872e52e79bf78adb2a6316b6abaf3ef6e1fc16956a7bf5e1acfa329e6d3a12c5"
+    },
+    {
+      "bytes": 72842,
+      "path": "data/internal_test/p4e/deepseek-000173-0000-0f5a931b115a45e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0f5a931b115a45e2ab626907f5cb71465db09c0ac91c4eaf197a0a9230143576"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000174.json b/manifests/batches/deepseek/000174.json
index 0a18047ad2d6637113fe234f2e78b2b6ba8dc014..c308df7aec9279e9a9587ddafd3271ef9a051b37 100644
--- a/manifests/batches/deepseek/000174.json
+++ b/manifests/batches/deepseek/000174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000174",
   "batch_fingerprint": "1b91288ffd513148d6f36f6df155b4e734db2d3d50edc514cf0a6ae21ad7c3a7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000174-0000-a79b9b8c2bf0a572.parquet",
-      "sha256": "a79b9b8c2bf0a572d15988069469a7bc39198c23aec23c50e4a2603c967b0b7e",
-      "bytes": 329264,
-      "rows": 99,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000174-0000-1da02536e95e811a.parquet",
-      "sha256": "1da02536e95e811a9ebe6e0ed010ea555f25880ff483900412dfae3682026a73",
-      "bytes": 46110,
-      "rows": 9,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000174-0000-6d54f0ffba2edcdd.parquet",
-      "sha256": "6d54f0ffba2edcdd85cb100ef1a7ce6afb0575d2e8740aaaf0bbc586895d5acc",
-      "bytes": 34667,
-      "rows": 6,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8733",
     "deepseek:thm_8734",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008747.lean\",\"a458a0e1f7ab29b0a2611d76152a41ae1a6f7574ba7214ab6bfff939c3349cd9\",0,\"thm_8780\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008748.lean\",\"c394857b5ecd586633a475606776717f0562fa4c4c5363b5888c067b95fab746\",0,\"thm_8781\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008749.lean\",\"baf4ae2ffd66c7a83414116c7b90e14258946435554ebf11471a0e3b2547d4d3\",0,\"thm_8782\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329264,
+      "path": "data/train/p83/deepseek-000174-0000-a79b9b8c2bf0a572.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "a79b9b8c2bf0a572d15988069469a7bc39198c23aec23c50e4a2603c967b0b7e"
+    },
+    {
+      "bytes": 46110,
+      "path": "data/dev/p83/deepseek-000174-0000-1da02536e95e811a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1da02536e95e811a9ebe6e0ed010ea555f25880ff483900412dfae3682026a73"
+    },
+    {
+      "bytes": 34667,
+      "path": "data/internal_test/p83/deepseek-000174-0000-6d54f0ffba2edcdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6d54f0ffba2edcdd85cb100ef1a7ce6afb0575d2e8740aaaf0bbc586895d5acc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000175.json b/manifests/batches/deepseek/000175.json
index 95e69609cc97c071c64620af6a0c44408abb571b..a47993ff2965fc3168f5edaa0ff6c8b234724bd4 100644
--- a/manifests/batches/deepseek/000175.json
+++ b/manifests/batches/deepseek/000175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000175",
   "batch_fingerprint": "fc40b300f646d6bb4b879e7538cb5b09464aafee8a9152846edf465f35a9c324",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000175-0000-5a72525f83bca9e5.parquet",
-      "sha256": "5a72525f83bca9e5995d35b9a2360b3ddc1a26356577561dd865fbca63066ee5",
-      "bytes": 269480,
-      "rows": 87,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/dev/deepseek-000175-0000-c6d460760c13b3ac.parquet",
-      "sha256": "c6d460760c13b3ac26ce10bf392e24d457495ffe73ff226ba4bcfa86e7098782",
-      "bytes": 53338,
-      "rows": 15,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000175-0000-877243087f495ef4.parquet",
-      "sha256": "877243087f495ef4ef88a42e4c20f1f1d88201d8aa2ecac5087f3d7435becf6e",
-      "bytes": 38131,
-      "rows": 7,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8785",
     "deepseek:thm_8786",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008797.lean\",\"3a8a616a87529dc0b6ce469546fb36e78ca823bd07f66cedd8cff94478260e3e\",0,\"thm_8831\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008798.lean\",\"f5d6084b3176005c88d5f6f89afb47deb0d0e1854f0d03aaa0e379357079f1c3\",0,\"thm_8832\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008799.lean\",\"1d2069923a8dc37ece6825daf477d6ff7468788cf67df7890dc553920c8661bd\",0,\"thm_8833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269480,
+      "path": "data/train/pba/deepseek-000175-0000-5a72525f83bca9e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "5a72525f83bca9e5995d35b9a2360b3ddc1a26356577561dd865fbca63066ee5"
+    },
+    {
+      "bytes": 53338,
+      "path": "data/dev/pba/deepseek-000175-0000-c6d460760c13b3ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c6d460760c13b3ac26ce10bf392e24d457495ffe73ff226ba4bcfa86e7098782"
+    },
+    {
+      "bytes": 38131,
+      "path": "data/internal_test/pba/deepseek-000175-0000-877243087f495ef4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "877243087f495ef4ef88a42e4c20f1f1d88201d8aa2ecac5087f3d7435becf6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000176.json b/manifests/batches/deepseek/000176.json
index 172e7882377c7e306650c98aa538fc205c34041c..250f1f55062ba8a6517c74c8bbe9594d57562302 100644
--- a/manifests/batches/deepseek/000176.json
+++ b/manifests/batches/deepseek/000176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000176",
   "batch_fingerprint": "18b4218daa2ca360997f3907995945f809caf4203b6665bc93909922e5f7ede7",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000176-0000-c678c2d201b98ec1.parquet",
-      "sha256": "c678c2d201b98ec10af1e365ab5b3845d6c24b14f876e1b34b328c7d82440141",
-      "bytes": 342952,
-      "rows": 114,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000176-0000-60748b71b3a760e6.parquet",
-      "sha256": "60748b71b3a760e6df78596e9303e908621490fdcccb4d3a828bb988bf5e20c0",
-      "bytes": 35442,
-      "rows": 4,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000176-0000-d1037a496a9f1ebf.parquet",
-      "sha256": "d1037a496a9f1ebf19c79cb708204e587ec8d8082705a958ff493a4e1009b9f6",
-      "bytes": 38839,
-      "rows": 4,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8834",
     "deepseek:thm_8835",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008847.lean\",\"a100a44c7209d808d175cc59135e37b6827dfd4bcddc524d8bdb68a0524baf49\",0,\"thm_8881\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008848.lean\",\"0799450e69632e70883bc217033d71670c4ce48c54b0dd7064f328176c32a220\",0,\"thm_8882\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008849.lean\",\"95a48daab1c316ab50bfd0d5d1da3d6afa776a3f3d2026bf866301ed47981af6\",0,\"thm_8883\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342952,
+      "path": "data/train/pcf/deepseek-000176-0000-c678c2d201b98ec1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "c678c2d201b98ec10af1e365ab5b3845d6c24b14f876e1b34b328c7d82440141"
+    },
+    {
+      "bytes": 35442,
+      "path": "data/dev/pcf/deepseek-000176-0000-60748b71b3a760e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "60748b71b3a760e6df78596e9303e908621490fdcccb4d3a828bb988bf5e20c0"
+    },
+    {
+      "bytes": 38839,
+      "path": "data/internal_test/pcf/deepseek-000176-0000-d1037a496a9f1ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d1037a496a9f1ebf19c79cb708204e587ec8d8082705a958ff493a4e1009b9f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000177.json b/manifests/batches/deepseek/000177.json
index c389493e50499687e3fc28227e0b88e6b3012f84..15931f2ba595efd21992484c2ebd846fc5d4cf18 100644
--- a/manifests/batches/deepseek/000177.json
+++ b/manifests/batches/deepseek/000177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000177",
   "batch_fingerprint": "11302fb1e5211892d6603fe70708af57887e2fab77e0726ea06c2bf4db73ece1",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000177-0000-9fccf6d68e81aefa.parquet",
-      "sha256": "9fccf6d68e81aefafc75d0901929b1bdc5100a60c069c50c3b9c2ed43454967c",
-      "bytes": 284462,
-      "rows": 96,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/deepseek-000177-0000-ca3666990ea50645.parquet",
-      "sha256": "ca3666990ea5064516883137d66c553099f83dd9e00222e34c825c5ada04e510",
-      "bytes": 38350,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/deepseek-000177-0000-79763d1e8e7b2dc7.parquet",
-      "sha256": "79763d1e8e7b2dc76cfdafe6f51456ab0b53db8a8d711da819647fd7ae8437f9",
-      "bytes": 76021,
-      "rows": 18,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8884",
     "deepseek:thm_8885",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008897.lean\",\"9503eb0ccf478829a890f89b77ef1269edbb05625248e1301cfd2dd787080e84\",0,\"thm_8931\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008898.lean\",\"8402e61e81fd477da703291f5baa651a793ab2526a71366ee6944f2797d79d54\",0,\"thm_8932\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008899.lean\",\"fddbbde647ae42f4fee8ebc4c1b10edc7045d26e7552523e3b83dfff284e4f91\",0,\"thm_8933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284462,
+      "path": "data/train/pfe/deepseek-000177-0000-9fccf6d68e81aefa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "9fccf6d68e81aefafc75d0901929b1bdc5100a60c069c50c3b9c2ed43454967c"
+    },
+    {
+      "bytes": 38350,
+      "path": "data/dev/pfe/deepseek-000177-0000-ca3666990ea50645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ca3666990ea5064516883137d66c553099f83dd9e00222e34c825c5ada04e510"
+    },
+    {
+      "bytes": 76021,
+      "path": "data/internal_test/pfe/deepseek-000177-0000-79763d1e8e7b2dc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "79763d1e8e7b2dc76cfdafe6f51456ab0b53db8a8d711da819647fd7ae8437f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000178.json b/manifests/batches/deepseek/000178.json
index 787af5291c30ea45b79d05a15d4047f92ecca62f..56c84384be3147d30436780f0896bc06a3c6d707 100644
--- a/manifests/batches/deepseek/000178.json
+++ b/manifests/batches/deepseek/000178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000178",
   "batch_fingerprint": "ba04951977ef9076fcdf3de1bafc1f9ea7b846000803ca6646bd8d164155e28f",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000178-0000-cadb45c026ac651e.parquet",
-      "sha256": "cadb45c026ac651e30826046b7d1ce9e3958c66e740766b6e9748855c1ab65c6",
-      "bytes": 340972,
-      "rows": 101,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    },
-    {
-      "path": "data/dev/deepseek-000178-0000-5e80c719cb927321.parquet",
-      "sha256": "5e80c719cb9273219e7e92b895f42900deb1eeb635c176a7f7ef0b5bdb415cfc",
-      "bytes": 53162,
-      "rows": 10,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000178-0000-6ceaef685c790d17.parquet",
-      "sha256": "6ceaef685c790d1763af2220b6518704e032bfb99cffa1fbfa345b63d17154c5",
-      "bytes": 55318,
-      "rows": 12,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8934",
     "deepseek:thm_8935",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008947.lean\",\"30288c1aaad3db2c2d92e9f7245a9fd66272ea1425e140cf0612dda2dd46fb99\",0,\"thm_8982\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008948.lean\",\"6e41ae722f19227fb310de59f51b3cd47edc96518d3870f67369024669b2f570\",0,\"thm_8983\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008949.lean\",\"1913481a49e512479a2eba4ae25d5c3656eda25b4fa526b8b64a76b839b12ad2\",0,\"thm_8984\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340972,
+      "path": "data/train/p7a/deepseek-000178-0000-cadb45c026ac651e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "cadb45c026ac651e30826046b7d1ce9e3958c66e740766b6e9748855c1ab65c6"
+    },
+    {
+      "bytes": 53162,
+      "path": "data/dev/p7a/deepseek-000178-0000-5e80c719cb927321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5e80c719cb9273219e7e92b895f42900deb1eeb635c176a7f7ef0b5bdb415cfc"
+    },
+    {
+      "bytes": 55318,
+      "path": "data/internal_test/p7a/deepseek-000178-0000-6ceaef685c790d17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6ceaef685c790d1763af2220b6518704e032bfb99cffa1fbfa345b63d17154c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000179.json b/manifests/batches/deepseek/000179.json
index 067bb501193c03058ff35675d7c1b8ff8d1fa54a..53de5ba3fd4ad9e13b06c65ddd17f8e67b7081b5 100644
--- a/manifests/batches/deepseek/000179.json
+++ b/manifests/batches/deepseek/000179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000179",
   "batch_fingerprint": "9bc10825e93fe8d329ada6dfe79e1bc5ee36e1089f82c5911e6f7d88786fa112",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000179-0000-a9a7e02e987081de.parquet",
-      "sha256": "a9a7e02e987081dee31eaa05a1ed9e5f5a5157d49a8d28f21b6bd28ed21e6c61",
-      "bytes": 314160,
-      "rows": 105,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/dev/deepseek-000179-0000-49edaa5a5d9d625a.parquet",
-      "sha256": "49edaa5a5d9d625a0bbb0d9012616c0108fd767f68f383e96cbe514321bda15f",
-      "bytes": 56224,
-      "rows": 11,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000179-0000-6a50ff5fbc02b16b.parquet",
-      "sha256": "6a50ff5fbc02b16b800787e358a58cb1f39736c5e9893d4c5a28fa2ba74cb390",
-      "bytes": 39970,
-      "rows": 6,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_8985",
     "deepseek:thm_8986",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008997.lean\",\"9ba9ce8d148599228ac23c4b4b0c8354b33cc45501af4442df7a0ea338aa8aa5\",0,\"thm_9032\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008998.lean\",\"dfa7e26097906102b8d43c1d6546be7702c25ec6752f26616919504b77a4e040\",0,\"thm_9033\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_008999.lean\",\"7d7cd7f284241a56cd02c9aa3c9f719cb93d7e66b76327825733af1db33ee7ed\",0,\"thm_9034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314160,
+      "path": "data/train/pab/deepseek-000179-0000-a9a7e02e987081de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "a9a7e02e987081dee31eaa05a1ed9e5f5a5157d49a8d28f21b6bd28ed21e6c61"
+    },
+    {
+      "bytes": 56224,
+      "path": "data/dev/pab/deepseek-000179-0000-49edaa5a5d9d625a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "49edaa5a5d9d625a0bbb0d9012616c0108fd767f68f383e96cbe514321bda15f"
+    },
+    {
+      "bytes": 39970,
+      "path": "data/internal_test/pab/deepseek-000179-0000-6a50ff5fbc02b16b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6a50ff5fbc02b16b800787e358a58cb1f39736c5e9893d4c5a28fa2ba74cb390"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000180.json b/manifests/batches/deepseek/000180.json
index 2fae3efa8a789cc187d1ebb971f51ee326f1f496..63aee7c06edd2d0aa24d6d177ddac811b6177115 100644
--- a/manifests/batches/deepseek/000180.json
+++ b/manifests/batches/deepseek/000180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000180",
   "batch_fingerprint": "73145ee6a2e07d6c94022fd34fedca286e15585024f3ad5c7f1029227d44f710",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000180-0000-ef951e8897065e9d.parquet",
-      "sha256": "ef951e8897065e9dc5dbc530561414dd6a7d3f61af404c20b267bf2bbfa1dd9c",
-      "bytes": 327045,
-      "rows": 90,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/deepseek-000180-0000-0eef4f655a90c541.parquet",
-      "sha256": "0eef4f655a90c541f6d702ef3358465dece09fdb1d8b96f528a3834b2b6f2c58",
-      "bytes": 56986,
-      "rows": 13,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/deepseek-000180-0000-5d78d88eb21d9e7e.parquet",
-      "sha256": "5d78d88eb21d9e7edf36602fa0f4eeed2dfb5628bfafae59c62ed010b631c754",
-      "bytes": 64044,
-      "rows": 15,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9035",
     "deepseek:thm_9036",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009047.lean\",\"80c686af538cbbe17d0d9fe9f920a2e9b93d2dd72faa8244ab8e483e92111ecb\",0,\"thm_9082\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009048.lean\",\"50c6802a21dc90fbc57e4470aacb16b381d1efc87eeb8c1b2eb183ef2fe9c5eb\",0,\"thm_9083\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009049.lean\",\"75fed62af9cea78b6e073778e32d3f2bca498e13b7cc2cbaeceab75ccd9f7055\",0,\"thm_9084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327045,
+      "path": "data/train/p25/deepseek-000180-0000-ef951e8897065e9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "ef951e8897065e9dc5dbc530561414dd6a7d3f61af404c20b267bf2bbfa1dd9c"
+    },
+    {
+      "bytes": 56986,
+      "path": "data/dev/p25/deepseek-000180-0000-0eef4f655a90c541.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0eef4f655a90c541f6d702ef3358465dece09fdb1d8b96f528a3834b2b6f2c58"
+    },
+    {
+      "bytes": 64044,
+      "path": "data/internal_test/p25/deepseek-000180-0000-5d78d88eb21d9e7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5d78d88eb21d9e7edf36602fa0f4eeed2dfb5628bfafae59c62ed010b631c754"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000181.json b/manifests/batches/deepseek/000181.json
index 45d068c808587284cdd02c6e8b7a6ce301ba84cb..50abc7aa95993387710fc8ba9414db8ecda3218c 100644
--- a/manifests/batches/deepseek/000181.json
+++ b/manifests/batches/deepseek/000181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000181",
   "batch_fingerprint": "453be775a82237fd9084f1f7106b00e260da956f9dab385aced8537f9e619bd9",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000181-0000-11f0a42c7be37091.parquet",
-      "sha256": "11f0a42c7be37091fa8a0851c7ab18376b661cfbdb382c26873dfd1106fb0464",
-      "bytes": 320672,
-      "rows": 112,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/deepseek-000181-0000-5523a228c011ac19.parquet",
-      "sha256": "5523a228c011ac19006d21c3537a58e1e2bf437b9d77b40ce957312731b4c62f",
-      "bytes": 23875,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/deepseek-000181-0000-ab145f67ed805ae8.parquet",
-      "sha256": "ab145f67ed805ae8bd804a81de94596621278796c16cc50c49e1d9d6daa6aec3",
-      "bytes": 41056,
-      "rows": 3,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9085",
     "deepseek:thm_9086",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009097.lean\",\"5999b477872f021d4c219fc40eab38c541d156187e587c07016e8aae32894c0f\",0,\"thm_9132\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009098.lean\",\"1fc60868eaae2f93be3417b66b484ff329726e5cfc8cf9afa60bc00ff5afe311\",0,\"thm_9133\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009099.lean\",\"b3824773895ef91e912b99b17f960e3252b6f2bd4dea587dcc7315ff82cf393e\",0,\"thm_9134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320672,
+      "path": "data/train/p0b/deepseek-000181-0000-11f0a42c7be37091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "11f0a42c7be37091fa8a0851c7ab18376b661cfbdb382c26873dfd1106fb0464"
+    },
+    {
+      "bytes": 23875,
+      "path": "data/dev/p0b/deepseek-000181-0000-5523a228c011ac19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5523a228c011ac19006d21c3537a58e1e2bf437b9d77b40ce957312731b4c62f"
+    },
+    {
+      "bytes": 41056,
+      "path": "data/internal_test/p0b/deepseek-000181-0000-ab145f67ed805ae8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ab145f67ed805ae8bd804a81de94596621278796c16cc50c49e1d9d6daa6aec3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000182.json b/manifests/batches/deepseek/000182.json
index 103fce5efe663f3c4434d794275483d987af5ae3..91203059cbd48214964aaf6adbbc5e25a3956950 100644
--- a/manifests/batches/deepseek/000182.json
+++ b/manifests/batches/deepseek/000182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000182",
   "batch_fingerprint": "8ade6323e7397426c6477388a63985bb0625b1c4e801f8bd940e537c405f8360",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000182-0000-ff82d3e3c134ad2c.parquet",
-      "sha256": "ff82d3e3c134ad2c498ddeac201d5f7a95dda47f3c9fc04bc37a98eeec9099c0",
-      "bytes": 271630,
-      "rows": 90,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/dev/deepseek-000182-0000-d35ba89f10714e7f.parquet",
-      "sha256": "d35ba89f10714e7fb1adea826efc89dc70fafb0452439e415108b7042d702109",
-      "bytes": 50141,
-      "rows": 7,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000182-0000-e8f778d9952f8a01.parquet",
-      "sha256": "e8f778d9952f8a019351c7f452a03b48a7799521609bb6eade2e004cc1834945",
-      "bytes": 43372,
-      "rows": 6,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9135",
     "deepseek:thm_9136",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009147.lean\",\"0e2f4fae31ab7905d8225dd5f1c0d879efba25d4af00cc386fe6aaa3b6041c3d\",0,\"thm_9182\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009148.lean\",\"a18942da07df4df75f329d915c18ee954c75f6efb38b3947166558262262793c\",0,\"thm_9183\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009149.lean\",\"69f88bc47bd800f42b393c8a66c4b76dba824d1703c1144700fe17ec52e5c2bb\",0,\"thm_9184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271630,
+      "path": "data/train/pcf/deepseek-000182-0000-ff82d3e3c134ad2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "ff82d3e3c134ad2c498ddeac201d5f7a95dda47f3c9fc04bc37a98eeec9099c0"
+    },
+    {
+      "bytes": 50141,
+      "path": "data/dev/pcf/deepseek-000182-0000-d35ba89f10714e7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d35ba89f10714e7fb1adea826efc89dc70fafb0452439e415108b7042d702109"
+    },
+    {
+      "bytes": 43372,
+      "path": "data/internal_test/pcf/deepseek-000182-0000-e8f778d9952f8a01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e8f778d9952f8a019351c7f452a03b48a7799521609bb6eade2e004cc1834945"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000183.json b/manifests/batches/deepseek/000183.json
index 255b42352827ee8f1ff3b596124ce4b2c008510b..9a1820d45cea6f3f192d3f3638f565265a68c303 100644
--- a/manifests/batches/deepseek/000183.json
+++ b/manifests/batches/deepseek/000183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000183",
   "batch_fingerprint": "8cd0ef72e96339f7381457cfb1d4b8621ca19bd1ab7bf701109e06e384d99d1a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000183-0000-5903cf0c8783c846.parquet",
-      "sha256": "5903cf0c8783c8462daf07f58789b512405053962226217173f0005107a20b52",
-      "bytes": 319509,
-      "rows": 98,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/deepseek-000183-0000-09487ab7faf2e3d4.parquet",
-      "sha256": "09487ab7faf2e3d4947ff0472ef4cd6e25d92c6c7e17e3577bb4f992e287254f",
-      "bytes": 48739,
-      "rows": 11,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/deepseek-000183-0000-817a5cd48b498f12.parquet",
-      "sha256": "817a5cd48b498f12efd6732227c8dc710abc4d874fbd97a1b368fd18724be405",
-      "bytes": 62186,
-      "rows": 14,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9185",
     "deepseek:thm_9186",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009197.lean\",\"7a889dbbb84ae558308a9b26a7ff3c3cef1386dfb740e50abd2f7345dcde1427\",0,\"thm_9232\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009198.lean\",\"e9df7b112d3083e1cba88eac884f2380dbe70ccf1dc3fc48f01268b3aa5acf8b\",0,\"thm_9233\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009199.lean\",\"228c57ef71cdabef916fa69a5d56e212825231a517e8e8054f87389f4332a1a7\",0,\"thm_9234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319509,
+      "path": "data/train/pba/deepseek-000183-0000-5903cf0c8783c846.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "5903cf0c8783c8462daf07f58789b512405053962226217173f0005107a20b52"
+    },
+    {
+      "bytes": 48739,
+      "path": "data/dev/pba/deepseek-000183-0000-09487ab7faf2e3d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "09487ab7faf2e3d4947ff0472ef4cd6e25d92c6c7e17e3577bb4f992e287254f"
+    },
+    {
+      "bytes": 62186,
+      "path": "data/internal_test/pba/deepseek-000183-0000-817a5cd48b498f12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "817a5cd48b498f12efd6732227c8dc710abc4d874fbd97a1b368fd18724be405"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000184.json b/manifests/batches/deepseek/000184.json
index 9af7478faf8a8bfc0e99164a777c7d13bdddb0b1..db1b6e3cf64edaf8aef39492fdc4ccfc0f106f3b 100644
--- a/manifests/batches/deepseek/000184.json
+++ b/manifests/batches/deepseek/000184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000184",
   "batch_fingerprint": "3a809aa374d8ee7bf543d409aa74d7b23ea5af23998286b78acc6919c0d5428c",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000184-0000-93bf67f848537163.parquet",
-      "sha256": "93bf67f848537163da5efdd6c47592d504e0dbe64e45377f1509841e2ae2b837",
-      "bytes": 316960,
-      "rows": 100,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/deepseek-000184-0000-ab374eb7158ee3e2.parquet",
-      "sha256": "ab374eb7158ee3e2bb7224ab0bd0e45ec0c71b2b69845b28bca56bf31f44652a",
-      "bytes": 38630,
-      "rows": 3,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/deepseek-000184-0000-ad422e5dc0999def.parquet",
-      "sha256": "ad422e5dc0999defc48b7702a2640f512af952ace9abf7a55b626e367f24b8d5",
-      "bytes": 52210,
-      "rows": 7,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9235",
     "deepseek:thm_9236",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009247.lean\",\"bcf2cbf91f4489bec84d910c8ace4e36f9b556fae47768ef69850887057b7615\",0,\"thm_9282\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009248.lean\",\"a6dd8e50ad0ed3e46c38d6b6dd380ac745d3684ed1939842a86321345afe2d45\",0,\"thm_9283\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009249.lean\",\"4d23df059ecd42a8188e17e890d846e4daa2a185618e80ac880c0a32937cc854\",0,\"thm_9284\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316960,
+      "path": "data/train/pe6/deepseek-000184-0000-93bf67f848537163.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "93bf67f848537163da5efdd6c47592d504e0dbe64e45377f1509841e2ae2b837"
+    },
+    {
+      "bytes": 38630,
+      "path": "data/dev/pe6/deepseek-000184-0000-ab374eb7158ee3e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ab374eb7158ee3e2bb7224ab0bd0e45ec0c71b2b69845b28bca56bf31f44652a"
+    },
+    {
+      "bytes": 52210,
+      "path": "data/internal_test/pe6/deepseek-000184-0000-ad422e5dc0999def.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ad422e5dc0999defc48b7702a2640f512af952ace9abf7a55b626e367f24b8d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000185.json b/manifests/batches/deepseek/000185.json
index 24013a23b2676f6defeba3846e47eabb7d9156a9..888083ce5cb621101284070d6b84c59a8d97add7 100644
--- a/manifests/batches/deepseek/000185.json
+++ b/manifests/batches/deepseek/000185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000185",
   "batch_fingerprint": "badab4a569f736a9f8ef051b7d5286c29572281363cdc4bae3adf126e0d481a3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000185-0000-cc0150b825a150cc.parquet",
-      "sha256": "cc0150b825a150cc431c537914a568677172f195160e02e8cf960ac58de27e84",
-      "bytes": 280068,
-      "rows": 91,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/deepseek-000185-0000-c86fe2c5ce23ecfa.parquet",
-      "sha256": "c86fe2c5ce23ecfaae24bd62d74f2cac1c6f8ee1c01445d31069194863254a8c",
-      "bytes": 46489,
-      "rows": 8,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/deepseek-000185-0000-b654598cbd7ddfc1.parquet",
-      "sha256": "b654598cbd7ddfc14d9eca2307580f1f08a5aee3f452dca7cbd81c0c3ec192fe",
-      "bytes": 77523,
-      "rows": 19,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9285",
     "deepseek:thm_9286",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009297.lean\",\"afc03e50cfa84fb994568ae5fb2e9a848249873f97f598d3e1ebeee68200303f\",0,\"thm_9332\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009298.lean\",\"a8a6a3935bf51cbc5cd046647046946a56ed9cc88a4298ac13b5021741425752\",0,\"thm_9333\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009299.lean\",\"cf647579964c8a6aeb0b2cf00744c679bc972c7bc3394b07dc8171c4da30080a\",0,\"thm_9334\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280068,
+      "path": "data/train/pa8/deepseek-000185-0000-cc0150b825a150cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "cc0150b825a150cc431c537914a568677172f195160e02e8cf960ac58de27e84"
+    },
+    {
+      "bytes": 46489,
+      "path": "data/dev/pa8/deepseek-000185-0000-c86fe2c5ce23ecfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c86fe2c5ce23ecfaae24bd62d74f2cac1c6f8ee1c01445d31069194863254a8c"
+    },
+    {
+      "bytes": 77523,
+      "path": "data/internal_test/pa8/deepseek-000185-0000-b654598cbd7ddfc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b654598cbd7ddfc14d9eca2307580f1f08a5aee3f452dca7cbd81c0c3ec192fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000186.json b/manifests/batches/deepseek/000186.json
index 91ded02c9198b8e7742d9076db62b6da2ef7ce75..393b6ca1e9d54b9bf4d8b51b6840db2b6edff4ff 100644
--- a/manifests/batches/deepseek/000186.json
+++ b/manifests/batches/deepseek/000186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000186",
   "batch_fingerprint": "ea021c1a042faba19fea12b93718df41295b0ecc83c72a91ecfb91bb27c3a07e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000186-0000-bcc50feb8ae49b66.parquet",
-      "sha256": "bcc50feb8ae49b667811b6a2064d0eeae6e6d7685f7d0d189b1e46b787758129",
-      "bytes": 308222,
-      "rows": 98,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/deepseek-000186-0000-86053a25d81288e4.parquet",
-      "sha256": "86053a25d81288e4797a60c3e49c866b729be455bcc91277240441141089a1be",
-      "bytes": 55331,
-      "rows": 9,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000186-0000-cfc7d899bc004652.parquet",
-      "sha256": "cfc7d899bc004652526bd25ac576bc63fc8462b137e0973e97573e8511ab1ef5",
-      "bytes": 57449,
-      "rows": 11,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9335",
     "deepseek:thm_9336",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009347.lean\",\"8ff9ac432f47912be78b7d537a9f940396aff482b64bfcb85a7452dd340c0e7c\",0,\"thm_9383\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009348.lean\",\"fd99e59c03314c5e9259c525ebc7590a0babda78f23a35694bf3831e3fb03add\",0,\"thm_9384\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009349.lean\",\"52d43589db0c848ff2a739f53b7ab0a026db2e461e273c2b6cf3104216996990\",0,\"thm_9385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308222,
+      "path": "data/train/p72/deepseek-000186-0000-bcc50feb8ae49b66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "bcc50feb8ae49b667811b6a2064d0eeae6e6d7685f7d0d189b1e46b787758129"
+    },
+    {
+      "bytes": 55331,
+      "path": "data/dev/p72/deepseek-000186-0000-86053a25d81288e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "86053a25d81288e4797a60c3e49c866b729be455bcc91277240441141089a1be"
+    },
+    {
+      "bytes": 57449,
+      "path": "data/internal_test/p72/deepseek-000186-0000-cfc7d899bc004652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cfc7d899bc004652526bd25ac576bc63fc8462b137e0973e97573e8511ab1ef5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000187.json b/manifests/batches/deepseek/000187.json
index ac982514a67a6f662af91eae68beb930996ae9b6..884609854203a18f7b686c6f4e26173f2c5dafe9 100644
--- a/manifests/batches/deepseek/000187.json
+++ b/manifests/batches/deepseek/000187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000187",
   "batch_fingerprint": "f55664f79152066013c73edd7eb5086137a250eced925d103744cb751bddc3b4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000187-0000-dd2116fbe8e02630.parquet",
-      "sha256": "dd2116fbe8e0263022e6f64d54bc02d1b6c29a3eb5bbf1d9e4007603f20d2434",
-      "bytes": 365387,
-      "rows": 109,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/deepseek-000187-0000-c8c22c01924e7b79.parquet",
-      "sha256": "c8c22c01924e7b792c752d65a9e166141c570a9b6f92f448182eda785d1c37ac",
-      "bytes": 42512,
-      "rows": 6,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000187-0000-365a9b2206b54844.parquet",
-      "sha256": "365a9b2206b5484433d80eb9e1b1d4bc8e3a7f2c3561fd098c7047633d06bff0",
-      "bytes": 53969,
-      "rows": 7,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9386",
     "deepseek:thm_9387",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009397.lean\",\"392ff5fa3ff43b3cc6e46822bdfe4599777bac106176d5f45a59e218e61ab7b1\",0,\"thm_9433\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009398.lean\",\"7039790bf2bce0184e0239561cb7f028947f4b8aa93ebf20dcf65dbfa8ba8758\",0,\"thm_9434\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009399.lean\",\"db04b9198029444ded8d54e012a9e4a0b12a93009a6a9cb106bf6ce34314a9dd\",0,\"thm_9435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365387,
+      "path": "data/train/p89/deepseek-000187-0000-dd2116fbe8e02630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "dd2116fbe8e0263022e6f64d54bc02d1b6c29a3eb5bbf1d9e4007603f20d2434"
+    },
+    {
+      "bytes": 42512,
+      "path": "data/dev/p89/deepseek-000187-0000-c8c22c01924e7b79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c8c22c01924e7b792c752d65a9e166141c570a9b6f92f448182eda785d1c37ac"
+    },
+    {
+      "bytes": 53969,
+      "path": "data/internal_test/p89/deepseek-000187-0000-365a9b2206b54844.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "365a9b2206b5484433d80eb9e1b1d4bc8e3a7f2c3561fd098c7047633d06bff0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000188.json b/manifests/batches/deepseek/000188.json
index bf86e7d2fda2f0543c08ef815942024ae1986cdb..111d1bd2fa91d6c8a28a2864511f849befd265d1 100644
--- a/manifests/batches/deepseek/000188.json
+++ b/manifests/batches/deepseek/000188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000188",
   "batch_fingerprint": "03485f7e961c2030e1357da68e8e49d149d1c894409a2904541ddad6fb17734d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000188-0000-7aedd4307959914b.parquet",
-      "sha256": "7aedd4307959914bd9c7b01ba27335a5c33c1116b2d9d7809bed98005adb8c4c",
-      "bytes": 352210,
-      "rows": 117,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/dev/deepseek-000188-0000-634e59a7c1131e9b.parquet",
-      "sha256": "634e59a7c1131e9b3b94f21b2e2c1bacf39765bd5b0161903f826d9414921f81",
-      "bytes": 37125,
-      "rows": 5,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000188-0000-4c3240eaf92b72cb.parquet",
-      "sha256": "4c3240eaf92b72cbdf3a6bda1091a5e001c29b971530a41dd1c93ca931d4df63",
-      "bytes": 79983,
-      "rows": 24,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9436",
     "deepseek:thm_9437",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009447.lean\",\"31fe9feeb72e2b8beaee82116b4ae57d741eb7aaa38d83c399106f78775ae11a\",0,\"thm_9483\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009448.lean\",\"05b0e5b2769e1718e257dcf22b6d6bd2f4fb6ee65ad0301dcd4b099abae677d9\",0,\"thm_9484\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009449.lean\",\"09aac1e077a01013c5a8b5b03e5bb58913c655cb698620118d4f097d23c8dd77\",0,\"thm_9485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352210,
+      "path": "data/train/p94/deepseek-000188-0000-7aedd4307959914b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "7aedd4307959914bd9c7b01ba27335a5c33c1116b2d9d7809bed98005adb8c4c"
+    },
+    {
+      "bytes": 37125,
+      "path": "data/dev/p94/deepseek-000188-0000-634e59a7c1131e9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "634e59a7c1131e9b3b94f21b2e2c1bacf39765bd5b0161903f826d9414921f81"
+    },
+    {
+      "bytes": 79983,
+      "path": "data/internal_test/p94/deepseek-000188-0000-4c3240eaf92b72cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "4c3240eaf92b72cbdf3a6bda1091a5e001c29b971530a41dd1c93ca931d4df63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000189.json b/manifests/batches/deepseek/000189.json
index 5d227aa7e5d8125606ce0ba358c5a6c4f07d7d19..a4c31a567aaf2f429a89a0d74e0c940a2cd19ee2 100644
--- a/manifests/batches/deepseek/000189.json
+++ b/manifests/batches/deepseek/000189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000189",
   "batch_fingerprint": "c090ededc2c0942e58532d55da266c45c15c8c71a827b21bf3de044f36e8bcb9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000189-0000-58fcba5b9c285da7.parquet",
-      "sha256": "58fcba5b9c285da73792f458dfd3100b13b1c7cff925a8b74808746b4da36966",
-      "bytes": 340484,
-      "rows": 104,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/deepseek-000189-0000-80a178729a2b11f0.parquet",
-      "sha256": "80a178729a2b11f08e9b5f58a08b481d0fd11c7c75907ad4ad5e82470a0b9557",
-      "bytes": 30727,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000189-0000-65edb87d71cf1730.parquet",
-      "sha256": "65edb87d71cf1730d13561cf2361f539327d75162c0db4f499bd66f0282aef11",
-      "bytes": 60021,
-      "rows": 13,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9486",
     "deepseek:thm_9487",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009497.lean\",\"5e0fdb2045fbd60c9e75c9d4c9bf999197a5cae0a02a93313ce47c4694de433d\",0,\"thm_9533\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009498.lean\",\"e246edb494a0d1d92a3c66248e5cac0781d90b50e0e21fc5cb89ae921b78d5d0\",0,\"thm_9534\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009499.lean\",\"8e210dc8e3fb3bef5a5844f5bd87e5dbf562d857a3c999d388ab8b3428933db9\",0,\"thm_9535\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340484,
+      "path": "data/train/p0a/deepseek-000189-0000-58fcba5b9c285da7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "58fcba5b9c285da73792f458dfd3100b13b1c7cff925a8b74808746b4da36966"
+    },
+    {
+      "bytes": 30727,
+      "path": "data/dev/p0a/deepseek-000189-0000-80a178729a2b11f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "80a178729a2b11f08e9b5f58a08b481d0fd11c7c75907ad4ad5e82470a0b9557"
+    },
+    {
+      "bytes": 60021,
+      "path": "data/internal_test/p0a/deepseek-000189-0000-65edb87d71cf1730.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "65edb87d71cf1730d13561cf2361f539327d75162c0db4f499bd66f0282aef11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000190.json b/manifests/batches/deepseek/000190.json
index 1b261797b6892d151d35502cf1741fd89d79c147..7482ed37fab6bfc0aa86e33f8af001ca65af4428 100644
--- a/manifests/batches/deepseek/000190.json
+++ b/manifests/batches/deepseek/000190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000190",
   "batch_fingerprint": "2308eb9d5c2adeb0f8140cbca2eb2ba817fde67951d5cf068ea32f0cedb0e151",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000190-0000-d67231fdfd888c87.parquet",
-      "sha256": "d67231fdfd888c874fe2cde81cb2d9382899a4e6224dfd7ce9065e5d8c1a7b8e",
-      "bytes": 366924,
-      "rows": 104,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    },
-    {
-      "path": "data/dev/deepseek-000190-0000-83779851d960182c.parquet",
-      "sha256": "83779851d960182cf8e77537e9a196c89a9373916642e7288afee5d4ba866df1",
-      "bytes": 28000,
-      "rows": 2,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000190-0000-1aec46b9a8627953.parquet",
-      "sha256": "1aec46b9a8627953d2b52c66451b23026bab4b738e55328b05491e61da2426ba",
-      "bytes": 44600,
-      "rows": 4,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9536",
     "deepseek:thm_9537",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009547.lean\",\"cefb22b1d06301da680eaf7a92831a8b8edc22b3f02530453ec9489c824666ec\",0,\"thm_9583\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009548.lean\",\"e21b8da4eee5a820100e7f530fa0f6266ab16c64271b282dbb913531e3183d22\",0,\"thm_9584\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009549.lean\",\"e4921707fc52558df3de3fe33a0af1b2304b05ab59a8b2f4ab736acb4b8d7e33\",0,\"thm_9585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366924,
+      "path": "data/train/p5f/deepseek-000190-0000-d67231fdfd888c87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "d67231fdfd888c874fe2cde81cb2d9382899a4e6224dfd7ce9065e5d8c1a7b8e"
+    },
+    {
+      "bytes": 28000,
+      "path": "data/dev/p5f/deepseek-000190-0000-83779851d960182c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "83779851d960182cf8e77537e9a196c89a9373916642e7288afee5d4ba866df1"
+    },
+    {
+      "bytes": 44600,
+      "path": "data/internal_test/p5f/deepseek-000190-0000-1aec46b9a8627953.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1aec46b9a8627953d2b52c66451b23026bab4b738e55328b05491e61da2426ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000191.json b/manifests/batches/deepseek/000191.json
index 5f48f4468567c07bc78690789ad5057595797aad..fb3745df4d79b592e9e71f6a6eaccceb1cde2ff6 100644
--- a/manifests/batches/deepseek/000191.json
+++ b/manifests/batches/deepseek/000191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000191",
   "batch_fingerprint": "06ca018f629e8929c775861b5105dee4a7a5678a70f77c93fec14c3940dd7928",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000191-0000-3b4be057bc575b6a.parquet",
-      "sha256": "3b4be057bc575b6acb40a90ef3a32539b236ccf25b7cfcc6bf9d44de9d3dee0b",
-      "bytes": 358710,
-      "rows": 122,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000191-0000-a2992d0fb7028f5a.parquet",
-      "sha256": "a2992d0fb7028f5aa3c3bb41c6ff48b1d6aa7cec46044f24f8fecbcc27d3cab2",
-      "bytes": 39115,
-      "rows": 4,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9586",
     "deepseek:thm_9587",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009597.lean\",\"0b05c2707655bbccfb2bc3d211330e7cac8ecde2d4a47d0e3b2e9841b1c77111\",0,\"thm_9634\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009598.lean\",\"4665e85f0b8d1cd5522725312430743ebf957075e9e1c534987aa1214ed4559d\",0,\"thm_9635\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009599.lean\",\"f5c4da41eb81d5b73857fe6f8d114e52c8dcb38689c9821221a496503d74deed\",0,\"thm_9636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358710,
+      "path": "data/train/p82/deepseek-000191-0000-3b4be057bc575b6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "3b4be057bc575b6acb40a90ef3a32539b236ccf25b7cfcc6bf9d44de9d3dee0b"
+    },
+    {
+      "bytes": 39115,
+      "path": "data/internal_test/p82/deepseek-000191-0000-a2992d0fb7028f5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a2992d0fb7028f5aa3c3bb41c6ff48b1d6aa7cec46044f24f8fecbcc27d3cab2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000192.json b/manifests/batches/deepseek/000192.json
index dc9a7cad20f561dc794d336f8713b5bd4a60a456..171bb52bea09fd0f009ffc9b02ba50d5d4df87ef 100644
--- a/manifests/batches/deepseek/000192.json
+++ b/manifests/batches/deepseek/000192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000192",
   "batch_fingerprint": "a753777a56ed4888df592ede439ca43e947eb6bfe75ade573390a87403663555",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000192-0000-b373a6c368398fa3.parquet",
-      "sha256": "b373a6c368398fa39f9724b28f65ccd55833402e9ea80dc255f6f7b66b3f235d",
-      "bytes": 326563,
-      "rows": 100,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/deepseek-000192-0000-6d08d3cad0f7b38a.parquet",
-      "sha256": "6d08d3cad0f7b38a961c35a3ad4a3f8a37819bcbf7a4f8b546c4bc89e262d7fb",
-      "bytes": 48922,
-      "rows": 5,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000192-0000-8cd084d08628de49.parquet",
-      "sha256": "8cd084d08628de492527f0c25d6ba8ef895d9154579b6da7a5a335ca16126c98",
-      "bytes": 60447,
-      "rows": 13,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9637",
     "deepseek:thm_9638",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009647.lean\",\"7ca863523fc988de8b9feea115ad51de3039877f80fa861ce656c509f6fd729b\",0,\"thm_9684\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009648.lean\",\"ead1a8e7bca272eef6551aeac352d5d2dff87222237d429ed0d5b7ff7c3aa976\",0,\"thm_9685\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009649.lean\",\"16e5d254944ba2418d1de9be2549af1d99d4e14f5630f295a7fc225e5b6831bb\",0,\"thm_9686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326563,
+      "path": "data/train/p0c/deepseek-000192-0000-b373a6c368398fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "b373a6c368398fa39f9724b28f65ccd55833402e9ea80dc255f6f7b66b3f235d"
+    },
+    {
+      "bytes": 48922,
+      "path": "data/dev/p0c/deepseek-000192-0000-6d08d3cad0f7b38a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6d08d3cad0f7b38a961c35a3ad4a3f8a37819bcbf7a4f8b546c4bc89e262d7fb"
+    },
+    {
+      "bytes": 60447,
+      "path": "data/internal_test/p0c/deepseek-000192-0000-8cd084d08628de49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8cd084d08628de492527f0c25d6ba8ef895d9154579b6da7a5a335ca16126c98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000193.json b/manifests/batches/deepseek/000193.json
index ba07a7d5bb2cd61208e4d8f5e12bb9b2c2cfb9a9..9cf8ee9b974376d65a4d83dc09c9b08b00a192d4 100644
--- a/manifests/batches/deepseek/000193.json
+++ b/manifests/batches/deepseek/000193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000193",
   "batch_fingerprint": "622f46d9854098b5eb3ee05b462ef54ba4bc1f11da47d8472337bc29b6b76850",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000193-0000-c1ddf80dc2a423ce.parquet",
-      "sha256": "c1ddf80dc2a423ce8000e75f9cfcfcc93186a08b344a140b65b758a2d3613f73",
-      "bytes": 342098,
-      "rows": 102,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    },
-    {
-      "path": "data/dev/deepseek-000193-0000-980612a695e002bb.parquet",
-      "sha256": "980612a695e002bb745c2e0a3b5f2eb5f978dbfe4fb5eb67ae51dd3c9661b844",
-      "bytes": 50275,
-      "rows": 10,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000193-0000-c55766368498af3c.parquet",
-      "sha256": "c55766368498af3c3098c8e40fac143ff6604e4b6bcbcce5f9b768b7a5407890",
-      "bytes": 35702,
-      "rows": 1,
-      "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9687",
     "deepseek:thm_9688",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009697.lean\",\"92161be0fb1f7109053e8ca81be378de13205f0da5ea5d7a596927461c64c66f\",0,\"thm_9734\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009698.lean\",\"1dd5b67a0be11ad936bc08d35bbb39381cb179bb3420bd3a3be9d5a0da9ab758\",0,\"thm_9735\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009699.lean\",\"6ef9be81bbbae156cf9746eb8825a02c0edf2fe54f7bca58a1f7a3a351703163\",0,\"thm_9736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342098,
+      "path": "data/train/p35/deepseek-000193-0000-c1ddf80dc2a423ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "c1ddf80dc2a423ce8000e75f9cfcfcc93186a08b344a140b65b758a2d3613f73"
+    },
+    {
+      "bytes": 50275,
+      "path": "data/dev/p35/deepseek-000193-0000-980612a695e002bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "980612a695e002bb745c2e0a3b5f2eb5f978dbfe4fb5eb67ae51dd3c9661b844"
+    },
+    {
+      "bytes": 35702,
+      "path": "data/internal_test/p35/deepseek-000193-0000-c55766368498af3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c55766368498af3c3098c8e40fac143ff6604e4b6bcbcce5f9b768b7a5407890"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000194.json b/manifests/batches/deepseek/000194.json
index cc78a5088935272122146c70c68a6ac67adf01a5..19c3c1f696852c93b2cfbaf54b0a177431dc263d 100644
--- a/manifests/batches/deepseek/000194.json
+++ b/manifests/batches/deepseek/000194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000194",
   "batch_fingerprint": "a11b8a9dcdd0c9fc7b77c529400115963cad596c5ce94c35024c589c8ecfae1c",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000194-0000-f057615398aa484e.parquet",
-      "sha256": "f057615398aa484ea13c7f678aac58c9a7356a7188689f6180c6aa7e8da71716",
-      "bytes": 288362,
-      "rows": 94,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    },
-    {
-      "path": "data/dev/deepseek-000194-0000-fe38ebb6caed189f.parquet",
-      "sha256": "fe38ebb6caed189fa17e37fb613e8643809f4a9249444a932d5977f517344f2b",
-      "bytes": 29496,
-      "rows": 1,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    },
-    {
-      "path": "data/internal_test/deepseek-000194-0000-1f24d0e4744e7ad6.parquet",
-      "sha256": "1f24d0e4744e7ad6ffd67a0d96b0ecb133c3e40caa4481cf4c49bae492a92e4a",
-      "bytes": 68885,
-      "rows": 15,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9738",
     "deepseek:thm_9739",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009747.lean\",\"9d2f679b2a57d2ff11b2a62f3aa0736fc6629547cf0f22f011c475c7550f3e4b\",0,\"thm_9784\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009748.lean\",\"8d498c556e550f9b936c0da1dd303c420a27ec9647cd8b5d9bc12291df363b08\",0,\"thm_9785\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009749.lean\",\"d9c0d702969295b2591bd060515b0004ac1efcf9294e3c41281c461c9a58da0b\",0,\"thm_9786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288362,
+      "path": "data/train/p49/deepseek-000194-0000-f057615398aa484e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "f057615398aa484ea13c7f678aac58c9a7356a7188689f6180c6aa7e8da71716"
+    },
+    {
+      "bytes": 29496,
+      "path": "data/dev/p49/deepseek-000194-0000-fe38ebb6caed189f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fe38ebb6caed189fa17e37fb613e8643809f4a9249444a932d5977f517344f2b"
+    },
+    {
+      "bytes": 68885,
+      "path": "data/internal_test/p49/deepseek-000194-0000-1f24d0e4744e7ad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1f24d0e4744e7ad6ffd67a0d96b0ecb133c3e40caa4481cf4c49bae492a92e4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000195.json b/manifests/batches/deepseek/000195.json
index cc78d7fe05b79b7b01209a2cfd5ecf7c0ad8d960..c4259563fb3af55779ce4095eda48eaf590d032d 100644
--- a/manifests/batches/deepseek/000195.json
+++ b/manifests/batches/deepseek/000195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000195",
   "batch_fingerprint": "16b4c207142c1dac76a7a7d7d94d52a154081a51541c3e6e6b012c2dc7df786f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000195-0000-865a13164d5beb06.parquet",
-      "sha256": "865a13164d5beb06fe4dd0fe87404e26b1125625f7fcbd458ffb51d4a01a4c0a",
-      "bytes": 356015,
-      "rows": 99,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/deepseek-000195-0000-536f49fcecba7b59.parquet",
-      "sha256": "536f49fcecba7b596cd547636fa88cc2a24da2550c07569b7c7881ae3ee77c3b",
-      "bytes": 42400,
-      "rows": 5,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000195-0000-31e49a64e6df1b8c.parquet",
-      "sha256": "31e49a64e6df1b8c21332a6895aeea466cbefa15ad0cef7be3b3a104abb0715f",
-      "bytes": 62773,
-      "rows": 13,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9787",
     "deepseek:thm_9788",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009797.lean\",\"d20c636fbc5c355693e87e510205e4dbbb740fe1d40a52b357998e5a2afb08e2\",0,\"thm_9834\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009798.lean\",\"603aa8055a4d3c01c304473c8a337400ab6af577deb38d17df32b84ae80492f5\",0,\"thm_9835\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009799.lean\",\"6ddcae9f758d3db3e88fd2b3d6d3b571ff2870a3eb8d52f724828b222fccc474\",0,\"thm_9836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356015,
+      "path": "data/train/p56/deepseek-000195-0000-865a13164d5beb06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "865a13164d5beb06fe4dd0fe87404e26b1125625f7fcbd458ffb51d4a01a4c0a"
+    },
+    {
+      "bytes": 42400,
+      "path": "data/dev/p56/deepseek-000195-0000-536f49fcecba7b59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "536f49fcecba7b596cd547636fa88cc2a24da2550c07569b7c7881ae3ee77c3b"
+    },
+    {
+      "bytes": 62773,
+      "path": "data/internal_test/p56/deepseek-000195-0000-31e49a64e6df1b8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "31e49a64e6df1b8c21332a6895aeea466cbefa15ad0cef7be3b3a104abb0715f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000196.json b/manifests/batches/deepseek/000196.json
index 6a6702610916935f5afb9cdd3ec50f8cc8d61104..9f630593680fdbaeaf2f65cfc557aed5d378252c 100644
--- a/manifests/batches/deepseek/000196.json
+++ b/manifests/batches/deepseek/000196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000196",
   "batch_fingerprint": "27b983e3d0319be7c0543d37a4e172749b0e9c892e831b966cb56fb5ee9b17da",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000196-0000-5f64588ccaaa4510.parquet",
-      "sha256": "5f64588ccaaa4510403fefd6ff3c64695bb089e67a99c78c955eb9957b9a1ad1",
-      "bytes": 340822,
-      "rows": 117,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    },
-    {
-      "path": "data/dev/deepseek-000196-0000-010f3aa68fc9dd89.parquet",
-      "sha256": "010f3aa68fc9dd895c869aeb5fb538cc988f465346c2340f0e7e1540ec93c9e9",
-      "bytes": 30428,
-      "rows": 2,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    },
-    {
-      "path": "data/internal_test/deepseek-000196-0000-edebd50ca0215f33.parquet",
-      "sha256": "edebd50ca0215f3346ee863decb346c85497453836473e76412d4c19b9e5212c",
-      "bytes": 55769,
-      "rows": 14,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9837",
     "deepseek:thm_9838",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009847.lean\",\"535feec2a99eabc845d424cae8a7504e4e962e8e23792509314ea46790b3b484\",0,\"thm_9884\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009848.lean\",\"e474a5a76ee65c5f93864ba7e7707c49a808b93a1e39f1a1027a2bc2a5ddd1b3\",0,\"thm_9885\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009849.lean\",\"7ff560619e853a0c0e6344faec692a997dd9051e771926b67103cf4d9c9f13e1\",0,\"thm_9886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340822,
+      "path": "data/train/p3d/deepseek-000196-0000-5f64588ccaaa4510.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "5f64588ccaaa4510403fefd6ff3c64695bb089e67a99c78c955eb9957b9a1ad1"
+    },
+    {
+      "bytes": 30428,
+      "path": "data/dev/p3d/deepseek-000196-0000-010f3aa68fc9dd89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "010f3aa68fc9dd895c869aeb5fb538cc988f465346c2340f0e7e1540ec93c9e9"
+    },
+    {
+      "bytes": 55769,
+      "path": "data/internal_test/p3d/deepseek-000196-0000-edebd50ca0215f33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "edebd50ca0215f3346ee863decb346c85497453836473e76412d4c19b9e5212c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000197.json b/manifests/batches/deepseek/000197.json
index 837236b56a747b6d28e9e847801c27b9139d34fc..0b6f352e5fa7413fa75d0710c5100e03e6fcc474 100644
--- a/manifests/batches/deepseek/000197.json
+++ b/manifests/batches/deepseek/000197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000197",
   "batch_fingerprint": "3b2e1bef660f6fa6e70dd69a71f14c1133828eefdbfc2e98d88e28ebf5a05118",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000197-0000-96e320f228210fdb.parquet",
-      "sha256": "96e320f228210fdb9d9f86c8ad0ad9b544e2d98eb5f18f79fdf97196fe6eaeb2",
-      "bytes": 344969,
-      "rows": 98,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/deepseek-000197-0000-739f9f623b1bde1f.parquet",
-      "sha256": "739f9f623b1bde1f5c50e9e1108691a4af0c19af2ec6d31cd037a2c811667f6f",
-      "bytes": 42248,
-      "rows": 6,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000197-0000-31842effbb8ded45.parquet",
-      "sha256": "31842effbb8ded4567884c4db2f1f26a7ab4f686880b7e6003b7c416cb0e22db",
-      "bytes": 55580,
-      "rows": 13,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9887",
     "deepseek:thm_9888",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009897.lean\",\"9d8199889a03b3396833b8848004f78e3a11af54391a81150dfedd62fcda1d58\",0,\"thm_9934\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009898.lean\",\"5ceccc5b2c8d47b5e0aec4dfdad0f2e2d6dce924a362a4afdf8e0e2fe984b920\",0,\"thm_9935\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009899.lean\",\"1ca5d95d752226dcc1237aa36d32bc3c7ceb482873983142b787c169a75a0ea4\",0,\"thm_9936\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344969,
+      "path": "data/train/p5f/deepseek-000197-0000-96e320f228210fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "96e320f228210fdb9d9f86c8ad0ad9b544e2d98eb5f18f79fdf97196fe6eaeb2"
+    },
+    {
+      "bytes": 42248,
+      "path": "data/dev/p5f/deepseek-000197-0000-739f9f623b1bde1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "739f9f623b1bde1f5c50e9e1108691a4af0c19af2ec6d31cd037a2c811667f6f"
+    },
+    {
+      "bytes": 55580,
+      "path": "data/internal_test/p5f/deepseek-000197-0000-31842effbb8ded45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "31842effbb8ded4567884c4db2f1f26a7ab4f686880b7e6003b7c416cb0e22db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000198.json b/manifests/batches/deepseek/000198.json
index 557b61f82d278e6da329fbf49f0058e9161a2a3b..6eaf50217298980b73c1d358859683197a713ca0 100644
--- a/manifests/batches/deepseek/000198.json
+++ b/manifests/batches/deepseek/000198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000198",
   "batch_fingerprint": "1c4a502c303d5a23fc146fecd1931f5c479ec6dabd07a0330d26b0e4e445d0e0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000198-0000-b0d9864fa7b99740.parquet",
-      "sha256": "b0d9864fa7b99740a9c36d444f54ee86982b663a67342492c0fee844db160ea6",
-      "bytes": 291061,
-      "rows": 84,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/deepseek-000198-0000-08c9ea4294da6dad.parquet",
-      "sha256": "08c9ea4294da6dad8adcabefa98964856b4342fc0096487f8b9ed983da9bac70",
-      "bytes": 37566,
-      "rows": 6,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000198-0000-c089e58b1b25c25f.parquet",
-      "sha256": "c089e58b1b25c25fc6a7e180f8755d518e1e1323049de769a37e122334910206",
-      "bytes": 54844,
-      "rows": 9,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_9937",
     "deepseek:thm_9938",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009947.lean\",\"4cfc1e44626f1994da6b904e8ddc211205dd16353711961b5907b3ff583fc730\",0,\"thm_9985\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009948.lean\",\"ff6f979f0dcdf3c83d27cca640ae873bc12304057141da4afdef0142b5d0616e\",0,\"thm_9986\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009949.lean\",\"0d5360b9aca6082701c7b3f9791edcf7c4626dd2ecff6bb063f3ed955938a084\",0,\"thm_9987\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291061,
+      "path": "data/train/p44/deepseek-000198-0000-b0d9864fa7b99740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "b0d9864fa7b99740a9c36d444f54ee86982b663a67342492c0fee844db160ea6"
+    },
+    {
+      "bytes": 37566,
+      "path": "data/dev/p44/deepseek-000198-0000-08c9ea4294da6dad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "08c9ea4294da6dad8adcabefa98964856b4342fc0096487f8b9ed983da9bac70"
+    },
+    {
+      "bytes": 54844,
+      "path": "data/internal_test/p44/deepseek-000198-0000-c089e58b1b25c25f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c089e58b1b25c25fc6a7e180f8755d518e1e1323049de769a37e122334910206"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000199.json b/manifests/batches/deepseek/000199.json
index cec0697e7b1b724e8fe3414f9c35e5b8a398c197..f173a100d9f86f972446d5590d3612edb8039b90 100644
--- a/manifests/batches/deepseek/000199.json
+++ b/manifests/batches/deepseek/000199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000199",
   "batch_fingerprint": "6f99986931cc7f5686a3f5b9f5d3abbbf86777831255af0c979c5f3e08464742",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000199-0000-a0beaf0efb5f8ab6.parquet",
-      "sha256": "a0beaf0efb5f8ab65021b084d3e3190bb59ef29f1e90c6bfff5e09a6737379fb",
-      "bytes": 271404,
-      "rows": 82,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/deepseek-000199-0000-cac696a2670458b0.parquet",
-      "sha256": "cac696a2670458b0fa22ed0303df0d720f43af6abf786ba011e34e008743f37a",
-      "bytes": 78983,
-      "rows": 11,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000199-0000-0fb129dbd4ae8e54.parquet",
-      "sha256": "0fb129dbd4ae8e542604a7880ef3ea64713b5e90356df4caad483f72a76111ad",
-      "bytes": 49980,
-      "rows": 13,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10000",
     "deepseek:thm_10001",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009997.lean\",\"7f7d44a9be1ec7c84ea78c5797f618f0f4df26bb3d95374080a7a60feaec4be7\",0,\"thm_10035\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009998.lean\",\"cee3f0f0b227d7c104c14d1ec20014e7bdcd705e996e804a5974cf9ab23ac49e\",0,\"thm_10036\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009999.lean\",\"ad6648f138d23bdb41dd08d8fb515c9fecb432e647f06b4f5cfdbb76dbde6717\",0,\"thm_10037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271404,
+      "path": "data/train/pfa/deepseek-000199-0000-a0beaf0efb5f8ab6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "a0beaf0efb5f8ab65021b084d3e3190bb59ef29f1e90c6bfff5e09a6737379fb"
+    },
+    {
+      "bytes": 78983,
+      "path": "data/dev/pfa/deepseek-000199-0000-cac696a2670458b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cac696a2670458b0fa22ed0303df0d720f43af6abf786ba011e34e008743f37a"
+    },
+    {
+      "bytes": 49980,
+      "path": "data/internal_test/pfa/deepseek-000199-0000-0fb129dbd4ae8e54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0fb129dbd4ae8e542604a7880ef3ea64713b5e90356df4caad483f72a76111ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000200.json b/manifests/batches/deepseek/000200.json
index 92610abb7ea8aa2906682508e08144e9a2fff546..3a236a63a284fd16ff58162c67e9eee59c63fa93 100644
--- a/manifests/batches/deepseek/000200.json
+++ b/manifests/batches/deepseek/000200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000200",
   "batch_fingerprint": "a683fc71dd0397aa04d91b69d37223115f474a4beeefb422627ce5b80bf91ad6",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000200-0000-5a52eb32beed8236.parquet",
-      "sha256": "5a52eb32beed8236a815f24a3e8b08873ed107a8e80493e999d938e19d3c527f",
-      "bytes": 307539,
-      "rows": 91,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    },
-    {
-      "path": "data/dev/deepseek-000200-0000-2ece9c2a017130f8.parquet",
-      "sha256": "2ece9c2a017130f8e668f9f690a93f46aa6e3e9faaa93da70e88b161ba699c76",
-      "bytes": 43510,
-      "rows": 7,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    },
-    {
-      "path": "data/internal_test/deepseek-000200-0000-08f99b8ecd524d5c.parquet",
-      "sha256": "08f99b8ecd524d5c52a898bf857e5a98141b546dfed66692c7c8adb955bf0b3f",
-      "bytes": 63049,
-      "rows": 14,
-      "revision": "14e1edf9b6294def7a77f5697dcdeece9f5e3f41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10038",
     "deepseek:thm_10039",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010047.lean\",\"1409e0fd366084cca4caf019959482216170cc6901a27b040e0d0da945bfdb47\",0,\"thm_10085\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010048.lean\",\"5d59e4b1681d2718024017b0c3475e5b8982fa3fd92d63435b83260f95cc0d06\",0,\"thm_10086\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010049.lean\",\"1602b517dc8f616e95287f878b19284bf6cbbefc825c51721711e61dd7f43f0d\",0,\"thm_10087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307539,
+      "path": "data/train/pf9/deepseek-000200-0000-5a52eb32beed8236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "5a52eb32beed8236a815f24a3e8b08873ed107a8e80493e999d938e19d3c527f"
+    },
+    {
+      "bytes": 43510,
+      "path": "data/dev/pf9/deepseek-000200-0000-2ece9c2a017130f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2ece9c2a017130f8e668f9f690a93f46aa6e3e9faaa93da70e88b161ba699c76"
+    },
+    {
+      "bytes": 63049,
+      "path": "data/internal_test/pf9/deepseek-000200-0000-08f99b8ecd524d5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "08f99b8ecd524d5c52a898bf857e5a98141b546dfed66692c7c8adb955bf0b3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000201.json b/manifests/batches/deepseek/000201.json
index 88d7ae8b8df6b414bac572100ff7b37348eb1d5b..b73012facfe35bab543a33eadd36f5c1c9204586 100644
--- a/manifests/batches/deepseek/000201.json
+++ b/manifests/batches/deepseek/000201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000201",
   "batch_fingerprint": "33da969d8bf0904a49da3f049b3fb5afe6ae245c2f93d9b7d357a68d4b8ce411",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000201-0000-ddd88e81a0eee8cf.parquet",
-      "sha256": "ddd88e81a0eee8cf4609c64e0ae5d09c0cb51c27cddf6903da02697ecf9f0bd5",
-      "bytes": 415542,
-      "rows": 117,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000201-0000-9295b0902373c60c.parquet",
-      "sha256": "9295b0902373c60c25ef76e1aea775ffbb896b302a80bed11bb988bf03daff93",
-      "bytes": 31362,
-      "rows": 5,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10088",
     "deepseek:thm_10089",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010097.lean\",\"8ebabd146e38f58f938e6c1131a266d5f351b5be8c995d4fb5458247488f12e3\",0,\"thm_10135\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010098.lean\",\"80ffd9156233bbbb78a05066d12db4cb8069f201f6ec5fb30774af50b0c68905\",0,\"thm_10136\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010099.lean\",\"4590b8f6f82d75d383521e57538e9fd5fafa02d59c0c73b092680719fbba314e\",0,\"thm_10137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415542,
+      "path": "data/train/p09/deepseek-000201-0000-ddd88e81a0eee8cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "ddd88e81a0eee8cf4609c64e0ae5d09c0cb51c27cddf6903da02697ecf9f0bd5"
+    },
+    {
+      "bytes": 31362,
+      "path": "data/internal_test/p09/deepseek-000201-0000-9295b0902373c60c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9295b0902373c60c25ef76e1aea775ffbb896b302a80bed11bb988bf03daff93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000202.json b/manifests/batches/deepseek/000202.json
index beec52c397dcd744285e2da26d20d80d570484ca..35e295c7ee215bd3c5e37ffd186b146a028c7523 100644
--- a/manifests/batches/deepseek/000202.json
+++ b/manifests/batches/deepseek/000202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000202",
   "batch_fingerprint": "303ab1546e4f38279aba8de11bcf1210d0020101b7c1e40852ef00f573c96538",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000202-0000-b7db9acde196aa99.parquet",
-      "sha256": "b7db9acde196aa9904dd4a2384f6dd5a70a29903a16557baeecc454011b80287",
-      "bytes": 385440,
-      "rows": 117,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/deepseek-000202-0000-cea2b6fd9e3cf807.parquet",
-      "sha256": "cea2b6fd9e3cf80734a45cb92dc849bfda0de992f5a473b8d95a5c60ae327339",
-      "bytes": 42815,
-      "rows": 7,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000202-0000-8c5209038336330b.parquet",
-      "sha256": "8c5209038336330bded037908b933010176b589c212303747849ef38cb45ae02",
-      "bytes": 65447,
-      "rows": 16,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10138",
     "deepseek:thm_10139",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010147.lean\",\"076ca9f6d05414105926ac327539805909344d2912a76a7e6a322d6c12937a7b\",0,\"thm_10185\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010148.lean\",\"67a0c14ddd1746ab44cda53b96ab01bb07b76357536d069457fe2caa0e5ce485\",0,\"thm_10186\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010149.lean\",\"252647c1950196a6f18f95f51b5f393805c5731cc5c17b22acc3b238e73ae181\",0,\"thm_10187\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385440,
+      "path": "data/train/p72/deepseek-000202-0000-b7db9acde196aa99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "b7db9acde196aa9904dd4a2384f6dd5a70a29903a16557baeecc454011b80287"
+    },
+    {
+      "bytes": 42815,
+      "path": "data/dev/p72/deepseek-000202-0000-cea2b6fd9e3cf807.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cea2b6fd9e3cf80734a45cb92dc849bfda0de992f5a473b8d95a5c60ae327339"
+    },
+    {
+      "bytes": 65447,
+      "path": "data/internal_test/p72/deepseek-000202-0000-8c5209038336330b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8c5209038336330bded037908b933010176b589c212303747849ef38cb45ae02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000203.json b/manifests/batches/deepseek/000203.json
index a42ca3e3e1f7a337cd073266b560c96235d7dbc3..18f3244ab746215ede754078e5d420f74eae1dae 100644
--- a/manifests/batches/deepseek/000203.json
+++ b/manifests/batches/deepseek/000203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000203",
   "batch_fingerprint": "57ca7c1df531b580aafd98a6a479b6fa62d448ff434f93cac313ecb48047c2cd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000203-0000-21891d2a4978478a.parquet",
-      "sha256": "21891d2a4978478ad64746d6b29a7909e32e232edb4faf976ed25b3e40756720",
-      "bytes": 370174,
-      "rows": 102,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000203-0000-6023883f7b0347b9.parquet",
-      "sha256": "6023883f7b0347b9cdc4c48e0b026b422b7e33683a5b259ae37910035628b7c5",
-      "bytes": 49976,
-      "rows": 14,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10188",
     "deepseek:thm_10189",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010197.lean\",\"1d555461a406f2b7b9fc22ff7b6fa282b1285630acd560ccf24b58d2dcf46509\",0,\"thm_10235\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010198.lean\",\"cae5d603ea2d29459b726764e704d2253e6d89ca4a7370ae75d7fb286d5b7123\",0,\"thm_10236\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010199.lean\",\"b23b6e8cf31d80ec346d15ab55f096f50b20c9fc94ed112914c7109545cab6fc\",0,\"thm_10237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370174,
+      "path": "data/train/p7b/deepseek-000203-0000-21891d2a4978478a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "21891d2a4978478ad64746d6b29a7909e32e232edb4faf976ed25b3e40756720"
+    },
+    {
+      "bytes": 49976,
+      "path": "data/internal_test/p7b/deepseek-000203-0000-6023883f7b0347b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6023883f7b0347b9cdc4c48e0b026b422b7e33683a5b259ae37910035628b7c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000204.json b/manifests/batches/deepseek/000204.json
index 365977d9a90a034015d83049a6d63bea994619d4..c4a51fcbd50e4aca7a3c202e3356ba0e5927351a 100644
--- a/manifests/batches/deepseek/000204.json
+++ b/manifests/batches/deepseek/000204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000204",
   "batch_fingerprint": "d4b06777fe27d4f3690a47a56988a4c4c2b4ea4b9cafe267f5126a3786ad22ad",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000204-0000-3692256eb9a6b4f4.parquet",
-      "sha256": "3692256eb9a6b4f40920d77ee69c4e9bdd7de2eb10b862eb4155022fbb11d603",
-      "bytes": 293661,
-      "rows": 87,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/deepseek-000204-0000-237c3c151272a209.parquet",
-      "sha256": "237c3c151272a2090cf1c649e65b4b979c1482281d0c386cbbafdaba0c657b73",
-      "bytes": 51830,
-      "rows": 6,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/deepseek-000204-0000-35f633c0336af10d.parquet",
-      "sha256": "35f633c0336af10da6ac5f7ae2c85ef4546840c9d8182df7174409c340676378",
-      "bytes": 68263,
-      "rows": 14,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10238",
     "deepseek:thm_10239",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010247.lean\",\"5833c9d783fafaa33045a65f64d5639ebd1428cdc9b1a4b59fbe7f57ffc88419\",0,\"thm_10285\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010248.lean\",\"d957559ba8f78a7450d1d64f5967925b72b62d5741ef8f68895f8c32d0de9e54\",0,\"thm_10286\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010249.lean\",\"b0eda2a595caaec4d5f4a0beaa8275ba73cbcc570aeda844ca784fb51f2808a1\",0,\"thm_10287\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293661,
+      "path": "data/train/pea/deepseek-000204-0000-3692256eb9a6b4f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "3692256eb9a6b4f40920d77ee69c4e9bdd7de2eb10b862eb4155022fbb11d603"
+    },
+    {
+      "bytes": 51830,
+      "path": "data/dev/pea/deepseek-000204-0000-237c3c151272a209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "237c3c151272a2090cf1c649e65b4b979c1482281d0c386cbbafdaba0c657b73"
+    },
+    {
+      "bytes": 68263,
+      "path": "data/internal_test/pea/deepseek-000204-0000-35f633c0336af10d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "35f633c0336af10da6ac5f7ae2c85ef4546840c9d8182df7174409c340676378"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000205.json b/manifests/batches/deepseek/000205.json
index 0d9c50730cb7d1a72cd2b69c37b60b9df8dccfd6..9d06d16a9134cfcd01fee8cd22f170377cbc7dd9 100644
--- a/manifests/batches/deepseek/000205.json
+++ b/manifests/batches/deepseek/000205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000205",
   "batch_fingerprint": "99c91f59b578fa880c120bf8e468406f8d84f413f4f0ed827a7a047250e77aa8",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000205-0000-80eda3c871742b60.parquet",
-      "sha256": "80eda3c871742b60f982a1995ed499e9e7a1692cd047081e4964f490df4a88b2",
-      "bytes": 274339,
-      "rows": 89,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/deepseek-000205-0000-4da33b4d3f1f776a.parquet",
-      "sha256": "4da33b4d3f1f776afe161bece035c8c18370d2de627f6319f61840dd012397d7",
-      "bytes": 37414,
-      "rows": 4,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/deepseek-000205-0000-63052b36c87ae744.parquet",
-      "sha256": "63052b36c87ae744a5c4bfd773c35cafd4038a2a4f26de2bac7cf436ce2f2c39",
-      "bytes": 52785,
-      "rows": 11,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10288",
     "deepseek:thm_10289",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010297.lean\",\"6d7e9c6770e87cfcad29b6aa596f5235e77026c686f7ab1bd897a713a4f4ccf7\",0,\"thm_10335\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010298.lean\",\"70d2a6502fc5f32c26813a8b588a4b974655d1f55dac0540aff24d6dfcc1fb96\",0,\"thm_10336\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010299.lean\",\"b190e9ffe6de4baa7650d2d8d5112014a36bdd1e02c1cc2e83124b21f119a489\",0,\"thm_10337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274339,
+      "path": "data/train/p0e/deepseek-000205-0000-80eda3c871742b60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "80eda3c871742b60f982a1995ed499e9e7a1692cd047081e4964f490df4a88b2"
+    },
+    {
+      "bytes": 37414,
+      "path": "data/dev/p0e/deepseek-000205-0000-4da33b4d3f1f776a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4da33b4d3f1f776afe161bece035c8c18370d2de627f6319f61840dd012397d7"
+    },
+    {
+      "bytes": 52785,
+      "path": "data/internal_test/p0e/deepseek-000205-0000-63052b36c87ae744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "63052b36c87ae744a5c4bfd773c35cafd4038a2a4f26de2bac7cf436ce2f2c39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000206.json b/manifests/batches/deepseek/000206.json
index d02060c35454e157f21824da557608877660e913..245c9c48cbb426f4af5868a865e5e9983d3174aa 100644
--- a/manifests/batches/deepseek/000206.json
+++ b/manifests/batches/deepseek/000206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000206",
   "batch_fingerprint": "cbf46f5decc06a8d2372cc4ae9c3bb176a3a19e3e0263fe3447427939bca9f72",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000206-0000-e0dc03cf57ca3791.parquet",
-      "sha256": "e0dc03cf57ca37912d0e3876126efae828806e79a39d44040c77dad508217de9",
-      "bytes": 334891,
-      "rows": 107,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/deepseek-000206-0000-3e57c81050c97c47.parquet",
-      "sha256": "3e57c81050c97c472f8cbf99d4291b46563702c9d2f30d78fa1d09754e8b43b3",
-      "bytes": 31173,
-      "rows": 2,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000206-0000-8589ce4e5cef9d67.parquet",
-      "sha256": "8589ce4e5cef9d678b56e421970ad11c327b0241efab19bc242e8a000ad4170a",
-      "bytes": 66441,
-      "rows": 11,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10338",
     "deepseek:thm_10339",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010347.lean\",\"173c00b88796abf8e368f6fc8d3b6b81a9909217632f805db1c8b75ba8611c21\",0,\"thm_10385\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010348.lean\",\"df2ed1b2c790fc9d9bcb4796e030d9747cca57f934583ea18db1516c44943abe\",0,\"thm_10386\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010349.lean\",\"8915d38ab15720baa28b7016b1a9272ab14bc43f930dae2f8b6f61dab563eaf3\",0,\"thm_10387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334891,
+      "path": "data/train/p3b/deepseek-000206-0000-e0dc03cf57ca3791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "e0dc03cf57ca37912d0e3876126efae828806e79a39d44040c77dad508217de9"
+    },
+    {
+      "bytes": 31173,
+      "path": "data/dev/p3b/deepseek-000206-0000-3e57c81050c97c47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3e57c81050c97c472f8cbf99d4291b46563702c9d2f30d78fa1d09754e8b43b3"
+    },
+    {
+      "bytes": 66441,
+      "path": "data/internal_test/p3b/deepseek-000206-0000-8589ce4e5cef9d67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8589ce4e5cef9d678b56e421970ad11c327b0241efab19bc242e8a000ad4170a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000207.json b/manifests/batches/deepseek/000207.json
index 6182adc44c07c035fa26eb3a8624b8ef571ffaac..4d82484223fd5e072019222acfe23a62280c6474 100644
--- a/manifests/batches/deepseek/000207.json
+++ b/manifests/batches/deepseek/000207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000207",
   "batch_fingerprint": "93a57f41996ea968165f0c466dc411ad85fe8775190656c1b526fec47834f95b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000207-0000-e064cb6717da6a21.parquet",
-      "sha256": "e064cb6717da6a21ddd27261a980c55c6935a55bc11a4fb2ac6aedaa5bb3497d",
-      "bytes": 283206,
-      "rows": 86,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/deepseek-000207-0000-48f051ae95a31850.parquet",
-      "sha256": "48f051ae95a31850d708b1a947605df1eb84a7284a0fffcb11cd27055f744aed",
-      "bytes": 54079,
-      "rows": 11,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000207-0000-0d17bab68a7fbf4a.parquet",
-      "sha256": "0d17bab68a7fbf4a26fd65acff8fd5c21ce3d987ca69d4a7755ecf72ea02fbc9",
-      "bytes": 80363,
-      "rows": 18,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10388",
     "deepseek:thm_10389",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010397.lean\",\"4517a8080fea2d850461e7caa7297684b4ff235838ed7f6f15472d110cb739e3\",0,\"thm_10435\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010398.lean\",\"0aa044f191896352850c50e9c8d590264b3cf12dc828ea98023151ce472ae697\",0,\"thm_10436\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010399.lean\",\"40170013987484dc7b289287e4635b4609a6cd44bf502179e53e18e63533314b\",0,\"thm_10437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283206,
+      "path": "data/train/pef/deepseek-000207-0000-e064cb6717da6a21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "e064cb6717da6a21ddd27261a980c55c6935a55bc11a4fb2ac6aedaa5bb3497d"
+    },
+    {
+      "bytes": 54079,
+      "path": "data/dev/pef/deepseek-000207-0000-48f051ae95a31850.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "48f051ae95a31850d708b1a947605df1eb84a7284a0fffcb11cd27055f744aed"
+    },
+    {
+      "bytes": 80363,
+      "path": "data/internal_test/pef/deepseek-000207-0000-0d17bab68a7fbf4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0d17bab68a7fbf4a26fd65acff8fd5c21ce3d987ca69d4a7755ecf72ea02fbc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000208.json b/manifests/batches/deepseek/000208.json
index e8e92558fcaaf157226aec8d2b135c19b2505f0a..9d14934a1096dd5c2f330a48e301a6a76aec5b57 100644
--- a/manifests/batches/deepseek/000208.json
+++ b/manifests/batches/deepseek/000208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000208",
   "batch_fingerprint": "9c40b77b2bf99eedc1a7113a8d3339c3e97ef8d08b6de254c14e54c72bdaaa88",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000208-0000-0fd9e75a315a514a.parquet",
-      "sha256": "0fd9e75a315a514a33167ca92c0e723f39adcd2baf8b80d37a5cbe52f4f1f500",
-      "bytes": 308539,
-      "rows": 98,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/deepseek-000208-0000-0823f8dce379724c.parquet",
-      "sha256": "0823f8dce379724c59cbe1b2a61c4fe639b5d47bcd925fe8958eefad89143cb8",
-      "bytes": 38508,
-      "rows": 4,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/deepseek-000208-0000-ae8ab23b392b640f.parquet",
-      "sha256": "ae8ab23b392b640f9837ba0eb0240cd33cd51af3ca3af29a90dd950361d7ed6f",
-      "bytes": 40391,
-      "rows": 5,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10438",
     "deepseek:thm_10439",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010447.lean\",\"ca7f2bd6a3b67b649c106608f62c17875afe2b7c67859a5d1750a856bbb6cf1b\",0,\"thm_10485\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010448.lean\",\"24646d0d61a2e3d9063d0da648208a0e572da3b347be6705d33ef737a570e361\",0,\"thm_10486\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010449.lean\",\"61478132268fed10f79723f980535a9b165ab261a17a243323fa892e084a2f75\",0,\"thm_10487\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308539,
+      "path": "data/train/pe2/deepseek-000208-0000-0fd9e75a315a514a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "0fd9e75a315a514a33167ca92c0e723f39adcd2baf8b80d37a5cbe52f4f1f500"
+    },
+    {
+      "bytes": 38508,
+      "path": "data/dev/pe2/deepseek-000208-0000-0823f8dce379724c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0823f8dce379724c59cbe1b2a61c4fe639b5d47bcd925fe8958eefad89143cb8"
+    },
+    {
+      "bytes": 40391,
+      "path": "data/internal_test/pe2/deepseek-000208-0000-ae8ab23b392b640f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ae8ab23b392b640f9837ba0eb0240cd33cd51af3ca3af29a90dd950361d7ed6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000209.json b/manifests/batches/deepseek/000209.json
index a384df2622dcd872e7f943f202831cda5d32bc88..469325f1d2a8a14675fe3c37da41b2a7e06d7586 100644
--- a/manifests/batches/deepseek/000209.json
+++ b/manifests/batches/deepseek/000209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000209",
   "batch_fingerprint": "91178b3f9f61dab4f4112a4017b1fe57b97ec5013f8a44f97b46279092de926e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000209-0000-9c8a46ff41310535.parquet",
-      "sha256": "9c8a46ff4131053519c2e18e9610452c55648d5c8e31ec03fa66d92867381085",
-      "bytes": 335300,
-      "rows": 114,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/deepseek-000209-0000-6d2475a3784499f6.parquet",
-      "sha256": "6d2475a3784499f65ae5e32e2da5a3c1e5471a348b1a90a2c1bdb7e9d89e93c1",
-      "bytes": 63667,
-      "rows": 10,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000209-0000-7e4660d2fd8ad1e3.parquet",
-      "sha256": "7e4660d2fd8ad1e3c8bd2e27fc19ccc1a546c9e812a4fb37ab5a3dcb759b02b0",
-      "bytes": 41366,
-      "rows": 4,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10488",
     "deepseek:thm_10489",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010497.lean\",\"7a48bef2a2e83a22c29036366a162c625d47b3f2bf21bef100721b8877941c34\",0,\"thm_10535\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010498.lean\",\"e9fa8c07b85557f8e3bc804f661fa74906e9360d5d4828847c3a31849bfb3fc5\",0,\"thm_10536\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010499.lean\",\"f6f2b5775097ca9a253898fbb97b833b957b51ae6fe75e26c8fc9312a037e7de\",0,\"thm_10537\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335300,
+      "path": "data/train/pdd/deepseek-000209-0000-9c8a46ff41310535.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "9c8a46ff4131053519c2e18e9610452c55648d5c8e31ec03fa66d92867381085"
+    },
+    {
+      "bytes": 63667,
+      "path": "data/dev/pdd/deepseek-000209-0000-6d2475a3784499f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6d2475a3784499f65ae5e32e2da5a3c1e5471a348b1a90a2c1bdb7e9d89e93c1"
+    },
+    {
+      "bytes": 41366,
+      "path": "data/internal_test/pdd/deepseek-000209-0000-7e4660d2fd8ad1e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7e4660d2fd8ad1e3c8bd2e27fc19ccc1a546c9e812a4fb37ab5a3dcb759b02b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000210.json b/manifests/batches/deepseek/000210.json
index 3f8d1e9af4bcb89e0ab575f774ec531368bb2574..101b0ea1a61e0228b2f7678597bdfce0f5610df6 100644
--- a/manifests/batches/deepseek/000210.json
+++ b/manifests/batches/deepseek/000210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000210",
   "batch_fingerprint": "ded11b62e90b4771a7070eaf6a67e5197939e3275f178a867ff2d7ec5fe5517b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000210-0000-4f97d7d326dd0e83.parquet",
-      "sha256": "4f97d7d326dd0e8348a464021148ba1c80683ca80fae8acec3435993cf5fe2b3",
-      "bytes": 358792,
-      "rows": 115,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/deepseek-000210-0000-865db44fd24d6cb0.parquet",
-      "sha256": "865db44fd24d6cb08f869632f4639f6355ec9d2988c94219bed3e1d864693bce",
-      "bytes": 38379,
-      "rows": 6,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/deepseek-000210-0000-32d426fc39f636e6.parquet",
-      "sha256": "32d426fc39f636e6d0f1152a98eb4f8cd7a949f71d34ab7bb8cb54f1d7defd6d",
-      "bytes": 30580,
-      "rows": 3,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10538",
     "deepseek:thm_10539",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010547.lean\",\"a860e5092e9c7a438a8cf3b59f393b8a408cae13dddd40b79947826c65f13f7a\",0,\"thm_10585\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010548.lean\",\"50eda07e897cb862cb3058689f3877e8a3b5cb110d098acd7d41fca53f2ee932\",0,\"thm_10586\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010549.lean\",\"3a4f50a810ab5576fa1b5fe2ac4620dee214dcb62542ba4e5cb97f09aaffaf49\",0,\"thm_10587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358792,
+      "path": "data/train/pad/deepseek-000210-0000-4f97d7d326dd0e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "4f97d7d326dd0e8348a464021148ba1c80683ca80fae8acec3435993cf5fe2b3"
+    },
+    {
+      "bytes": 38379,
+      "path": "data/dev/pad/deepseek-000210-0000-865db44fd24d6cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "865db44fd24d6cb08f869632f4639f6355ec9d2988c94219bed3e1d864693bce"
+    },
+    {
+      "bytes": 30580,
+      "path": "data/internal_test/pad/deepseek-000210-0000-32d426fc39f636e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "32d426fc39f636e6d0f1152a98eb4f8cd7a949f71d34ab7bb8cb54f1d7defd6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000211.json b/manifests/batches/deepseek/000211.json
index 912185e8bb9a0c277ad45d557fadcec6bc3b71e7..e8022ab71b47142a018421649cecbfe4d055c00f 100644
--- a/manifests/batches/deepseek/000211.json
+++ b/manifests/batches/deepseek/000211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000211",
   "batch_fingerprint": "920d631c366e5acb7f13e1f896d7b4a953e1889b06a7f863f40f2349a54c59dd",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000211-0000-50fcbfce3aa8eafa.parquet",
-      "sha256": "50fcbfce3aa8eafa08dabe1268caa8334b1c03208efe81389de0e047212c8421",
-      "bytes": 334107,
-      "rows": 108,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/deepseek-000211-0000-c23b62e45766979c.parquet",
-      "sha256": "c23b62e45766979c66fec8e4aa660d121e13eb99f9ff5bbd0698ebda77efd757",
-      "bytes": 39572,
-      "rows": 7,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/deepseek-000211-0000-a7612eaf1e7ab3ba.parquet",
-      "sha256": "a7612eaf1e7ab3ba301e76ccdeb6224b1e7a28810e1c7843973eafd2fb445e6a",
-      "bytes": 43958,
-      "rows": 7,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10588",
     "deepseek:thm_10589",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010597.lean\",\"c05b180798d8534bc681e8774492eac38739b07435cd6c246c134d95fc0ca570\",0,\"thm_10635\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010598.lean\",\"b5fc37d41b1dc33b42f3cbcbd5c536c04b9f0ea0b4cdec7ac922a905336e13bf\",0,\"thm_10636\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010599.lean\",\"628ecfe8f1e3c69c293225fc25ba02df2414ab8a2d7b58535ed943ed99e585dd\",0,\"thm_10637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334107,
+      "path": "data/train/p17/deepseek-000211-0000-50fcbfce3aa8eafa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "50fcbfce3aa8eafa08dabe1268caa8334b1c03208efe81389de0e047212c8421"
+    },
+    {
+      "bytes": 39572,
+      "path": "data/dev/p17/deepseek-000211-0000-c23b62e45766979c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c23b62e45766979c66fec8e4aa660d121e13eb99f9ff5bbd0698ebda77efd757"
+    },
+    {
+      "bytes": 43958,
+      "path": "data/internal_test/p17/deepseek-000211-0000-a7612eaf1e7ab3ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a7612eaf1e7ab3ba301e76ccdeb6224b1e7a28810e1c7843973eafd2fb445e6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000212.json b/manifests/batches/deepseek/000212.json
index 0a3959d2729d752c32f50d6f959408460a53079e..d39efd297289ed66bd757a5b65e030ee34132028 100644
--- a/manifests/batches/deepseek/000212.json
+++ b/manifests/batches/deepseek/000212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000212",
   "batch_fingerprint": "2358608d0314a86cb3609d0638fdbd67f7bcc4270782731841d0a99ca7879974",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000212-0000-786deb9357c1f3b6.parquet",
-      "sha256": "786deb9357c1f3b6869588298370561c36edc3bbd3732de59e4c87acaab78682",
-      "bytes": 287242,
-      "rows": 96,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/dev/deepseek-000212-0000-8c784e2dd4492252.parquet",
-      "sha256": "8c784e2dd4492252bc0d3afcc606fc3ffd4239ca9084d394dff166b8337883df",
-      "bytes": 38896,
-      "rows": 6,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000212-0000-f4a51e5b3e7630ab.parquet",
-      "sha256": "f4a51e5b3e7630abf5c822f9efe78399a1727410f95954510fae25e5eb0fe4e8",
-      "bytes": 51033,
-      "rows": 9,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10638",
     "deepseek:thm_10639",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010647.lean\",\"2b75ae604f0f30ef00cde6b13476cf58683e45085e0113933645c3d5fded1d16\",0,\"thm_10685\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010648.lean\",\"285f070294026cbf77ed6002fc5595120cba8acf97205f9fd8649ab6a2a5220e\",0,\"thm_10686\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010649.lean\",\"87dff5d4c2199d96241548e814ec6c412ed5c4ea7afd2f186d7f0b7304b33f74\",0,\"thm_10687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287242,
+      "path": "data/train/pf7/deepseek-000212-0000-786deb9357c1f3b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "786deb9357c1f3b6869588298370561c36edc3bbd3732de59e4c87acaab78682"
+    },
+    {
+      "bytes": 38896,
+      "path": "data/dev/pf7/deepseek-000212-0000-8c784e2dd4492252.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8c784e2dd4492252bc0d3afcc606fc3ffd4239ca9084d394dff166b8337883df"
+    },
+    {
+      "bytes": 51033,
+      "path": "data/internal_test/pf7/deepseek-000212-0000-f4a51e5b3e7630ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f4a51e5b3e7630abf5c822f9efe78399a1727410f95954510fae25e5eb0fe4e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000213.json b/manifests/batches/deepseek/000213.json
index 5acc35592b5da4ca982d835706ba8ab2f7c543fd..e7778cddfe706d4346f128f6b8c0f96674ff97f5 100644
--- a/manifests/batches/deepseek/000213.json
+++ b/manifests/batches/deepseek/000213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000213",
   "batch_fingerprint": "9b4db3dd6991ff22008101c309df041887ba9b3579ac116963a993f2206c5aaa",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000213-0000-eab059ac376ad84c.parquet",
-      "sha256": "eab059ac376ad84cb1ffd1898c47fe1963be1cb59d8bfc2c4241d50aa779eb4b",
-      "bytes": 287587,
-      "rows": 91,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/dev/deepseek-000213-0000-c48ab6a2eb9176be.parquet",
-      "sha256": "c48ab6a2eb9176be5e141a62e0b7b7e9df765dc3059fd7fc1183a653b1674a6e",
-      "bytes": 53960,
-      "rows": 9,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000213-0000-258f065c4cb25311.parquet",
-      "sha256": "258f065c4cb2531167301234cdda58b88e6cbde92d5c52419ab7bdcae2e4fc08",
-      "bytes": 35821,
-      "rows": 5,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10688",
     "deepseek:thm_10690",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010696.lean\",\"074f9ab4121448e6322dddcd8cba72e239f920f56beafda5296a618c3f6b6ff6\",0,\"thm_10734\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010697.lean\",\"8a2e0f957aa684942c79a78a30765b2a89f39204eec2b0a5f4ce0c5e5aa6edf5\",0,\"thm_10735\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010699.lean\",\"4589ccbdffcffef4393e2701226205e9430db4d4020f3ad530b510eb0ba90206\",0,\"thm_10737\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287587,
+      "path": "data/train/p1d/deepseek-000213-0000-eab059ac376ad84c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "eab059ac376ad84cb1ffd1898c47fe1963be1cb59d8bfc2c4241d50aa779eb4b"
+    },
+    {
+      "bytes": 53960,
+      "path": "data/dev/p1d/deepseek-000213-0000-c48ab6a2eb9176be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c48ab6a2eb9176be5e141a62e0b7b7e9df765dc3059fd7fc1183a653b1674a6e"
+    },
+    {
+      "bytes": 35821,
+      "path": "data/internal_test/p1d/deepseek-000213-0000-258f065c4cb25311.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "258f065c4cb2531167301234cdda58b88e6cbde92d5c52419ab7bdcae2e4fc08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000214.json b/manifests/batches/deepseek/000214.json
index 77d6643307318827eb8b427e75b6cd6714ce7e1a..7077a758e1404dd63aba5f5a5c5af7084144c56e 100644
--- a/manifests/batches/deepseek/000214.json
+++ b/manifests/batches/deepseek/000214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000214",
   "batch_fingerprint": "805d5507baaf3a0f75e560363959c17f6df714f6abb66fbbc0bbab7d04f24328",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000214-0000-0c51b8eb8e687c09.parquet",
-      "sha256": "0c51b8eb8e687c09a4a89b3028c7542244a90be390a8154f7691ee715f34cf1d",
-      "bytes": 327970,
-      "rows": 100,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/dev/deepseek-000214-0000-a2036f4623dfe833.parquet",
-      "sha256": "a2036f4623dfe8333a97afea1b9239bdb3815401242be9ef208f44288508ff96",
-      "bytes": 28716,
-      "rows": 2,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000214-0000-bdebfae830bbed85.parquet",
-      "sha256": "bdebfae830bbed856cad97a08846907c456dff8cbe1edb8f757a0ac908310311",
-      "bytes": 48217,
-      "rows": 12,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10738",
     "deepseek:thm_10739",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010747.lean\",\"1045f0b9017d42e17e787c81bacba40b788ab01ff369bf3e8ab601afa7c035fe\",0,\"thm_10785\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010748.lean\",\"540139526b1fd478de27b2fa052b44e8b15003373623f2b8a5664a547e2d81b0\",0,\"thm_10786\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010749.lean\",\"8694efd1c5d2f68bc561f835acde618b3c7db8c61f89d85894b230d5985ebe33\",0,\"thm_10787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327970,
+      "path": "data/train/p1b/deepseek-000214-0000-0c51b8eb8e687c09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "0c51b8eb8e687c09a4a89b3028c7542244a90be390a8154f7691ee715f34cf1d"
+    },
+    {
+      "bytes": 28716,
+      "path": "data/dev/p1b/deepseek-000214-0000-a2036f4623dfe833.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a2036f4623dfe8333a97afea1b9239bdb3815401242be9ef208f44288508ff96"
+    },
+    {
+      "bytes": 48217,
+      "path": "data/internal_test/p1b/deepseek-000214-0000-bdebfae830bbed85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bdebfae830bbed856cad97a08846907c456dff8cbe1edb8f757a0ac908310311"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000215.json b/manifests/batches/deepseek/000215.json
index 8773faa493a31cebe37dd7a60ef4a141bdd647b0..dae41916741dbbf9e36d528461982b4237c407f0 100644
--- a/manifests/batches/deepseek/000215.json
+++ b/manifests/batches/deepseek/000215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000215",
   "batch_fingerprint": "8746d6df13b07c7a05ef1d03e93459cb834b72a8bcea3ff4a17cd03f9d25c132",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000215-0000-c26f8000a2b55259.parquet",
-      "sha256": "c26f8000a2b55259700736ffd895328be1303b0c7e9745ae7917e89a2c1be184",
-      "bytes": 298050,
-      "rows": 88,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/deepseek-000215-0000-51d09b238f1c2812.parquet",
-      "sha256": "51d09b238f1c281216b7acd36d07c2e365e9423876c395004dcdf124e16199ce",
-      "bytes": 48786,
-      "rows": 7,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/deepseek-000215-0000-5eea92d2d83398a8.parquet",
-      "sha256": "5eea92d2d83398a89a3bfd8c791202351d62977d5e6b8bb1d914821d2345fae5",
-      "bytes": 69960,
-      "rows": 18,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10788",
     "deepseek:thm_10789",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010797.lean\",\"7139660efe2ce2262a7d5163a3980074ffc189ee125fe1408d610efb08f69e30\",0,\"thm_10835\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010798.lean\",\"e4b3f8aa660fd23112e8b2f32187d57d88ebff7d08167547e432d90fabc54ddb\",0,\"thm_10836\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010799.lean\",\"12fb86f45f8d755c511d9369ec877777753a5223fdfda7d476e6c45d63af283d\",0,\"thm_10837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298050,
+      "path": "data/train/pae/deepseek-000215-0000-c26f8000a2b55259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "c26f8000a2b55259700736ffd895328be1303b0c7e9745ae7917e89a2c1be184"
+    },
+    {
+      "bytes": 48786,
+      "path": "data/dev/pae/deepseek-000215-0000-51d09b238f1c2812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "51d09b238f1c281216b7acd36d07c2e365e9423876c395004dcdf124e16199ce"
+    },
+    {
+      "bytes": 69960,
+      "path": "data/internal_test/pae/deepseek-000215-0000-5eea92d2d83398a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5eea92d2d83398a89a3bfd8c791202351d62977d5e6b8bb1d914821d2345fae5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000216.json b/manifests/batches/deepseek/000216.json
index f03d2ffabe2023c3de4c545938c27e06b8393948..ecff8392f10221f2bfa1b0db9b89fe57b86f4fc5 100644
--- a/manifests/batches/deepseek/000216.json
+++ b/manifests/batches/deepseek/000216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000216",
   "batch_fingerprint": "e36de66650d26d49530e589ab6b8e79d019d9d5bb417b48a28fcd8db550fba9b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000216-0000-87854b710c34aa40.parquet",
-      "sha256": "87854b710c34aa40da1a71bffc76fa802a5bc92479835e58074a5f7780230819",
-      "bytes": 385558,
-      "rows": 102,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/deepseek-000216-0000-802f5c8248ed83b6.parquet",
-      "sha256": "802f5c8248ed83b6ded2f44a48a124d65c9c94c9dcb1958ca5dd8449dc13f618",
-      "bytes": 43642,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/deepseek-000216-0000-78329c326bb5c276.parquet",
-      "sha256": "78329c326bb5c2760ff5694de1a74e4e3059c8a17664a834a0bd9f216697f70f",
-      "bytes": 67391,
-      "rows": 15,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10838",
     "deepseek:thm_10839",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010847.lean\",\"e126e9fba840e0d65659084e642a8541d8fbe88fa0e9606e7b99eabb3368bf1e\",0,\"thm_10885\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010848.lean\",\"0656a7b3fd0e987d35e0e5c3fc1a171083da4090eb25378cee215010f03b6ade\",0,\"thm_10886\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010849.lean\",\"483131c12d3ba518000740643bdf0fe1e5c1efee7862c74500b3cb76f79d8f09\",0,\"thm_10887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385558,
+      "path": "data/train/pe3/deepseek-000216-0000-87854b710c34aa40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "87854b710c34aa40da1a71bffc76fa802a5bc92479835e58074a5f7780230819"
+    },
+    {
+      "bytes": 43642,
+      "path": "data/dev/pe3/deepseek-000216-0000-802f5c8248ed83b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "802f5c8248ed83b6ded2f44a48a124d65c9c94c9dcb1958ca5dd8449dc13f618"
+    },
+    {
+      "bytes": 67391,
+      "path": "data/internal_test/pe3/deepseek-000216-0000-78329c326bb5c276.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "78329c326bb5c2760ff5694de1a74e4e3059c8a17664a834a0bd9f216697f70f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000217.json b/manifests/batches/deepseek/000217.json
index 7d4c5b5289d31d3d44564dbcc2e8bb4181e08d9d..d354979e382e7e60fd4e3b9bf644ce199392e143 100644
--- a/manifests/batches/deepseek/000217.json
+++ b/manifests/batches/deepseek/000217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000217",
   "batch_fingerprint": "30c4d78c6167f0b001805df031225cb0a3d8812c3fc7df7cbeaf6cac6f4cac8a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000217-0000-e5166f334d9f7de8.parquet",
-      "sha256": "e5166f334d9f7de8c1a652987038f7ad676a2c712ef8eb7c9e67418d94811b40",
-      "bytes": 301354,
-      "rows": 96,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/deepseek-000217-0000-dd12618466cc72bd.parquet",
-      "sha256": "dd12618466cc72bdfcc09477e3e7649d1ce6a85a2b91ef6638d7ca29ddf4aca4",
-      "bytes": 32771,
-      "rows": 3,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/deepseek-000217-0000-65004c238a9971f7.parquet",
-      "sha256": "65004c238a9971f7a345fc560f1008f387405b1e3961ca0e20184275647cb3ac",
-      "bytes": 52681,
-      "rows": 12,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10888",
     "deepseek:thm_10889",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010897.lean\",\"b49c0731d04c019cc386f00fe8610b5c922ab9fee90741a0f8fd7c5d25bdfb3f\",0,\"thm_10935\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010898.lean\",\"e1536826fc277fcf7f44335b287d2265e4a2aa71955f046b144a33be00483eef\",0,\"thm_10936\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010899.lean\",\"29450c25edf5a4c62b5fa4eab10995a0bc47cdd8a3726342eeb221d30ad7fccd\",0,\"thm_10937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301354,
+      "path": "data/train/p59/deepseek-000217-0000-e5166f334d9f7de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "e5166f334d9f7de8c1a652987038f7ad676a2c712ef8eb7c9e67418d94811b40"
+    },
+    {
+      "bytes": 32771,
+      "path": "data/dev/p59/deepseek-000217-0000-dd12618466cc72bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dd12618466cc72bdfcc09477e3e7649d1ce6a85a2b91ef6638d7ca29ddf4aca4"
+    },
+    {
+      "bytes": 52681,
+      "path": "data/internal_test/p59/deepseek-000217-0000-65004c238a9971f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "65004c238a9971f7a345fc560f1008f387405b1e3961ca0e20184275647cb3ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000218.json b/manifests/batches/deepseek/000218.json
index 2210056e11afb199eb3d083c74c57ec7c6f12bfc..9ca98dd13b7fc517bcf050b85db358a3b94c8e1d 100644
--- a/manifests/batches/deepseek/000218.json
+++ b/manifests/batches/deepseek/000218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000218",
   "batch_fingerprint": "9cb49053c166f1c1228abace6f2201fa7dde6f7b56b6a9107acc5e7a6d2fb8a1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000218-0000-06f998b3f11980da.parquet",
-      "sha256": "06f998b3f11980da9dafca57fb5b8b88aa23e42456d5951257ee9afa7b29f076",
-      "bytes": 380812,
-      "rows": 119,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000218-0000-2633f9dab5721385.parquet",
-      "sha256": "2633f9dab5721385a902ee7a57b6ed4d90b68cbd5b52e9468f837a4dbafa0a65",
-      "bytes": 31164,
-      "rows": 2,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000218-0000-09a1ea798e9f80a7.parquet",
-      "sha256": "09a1ea798e9f80a7aff9d510ca75eba69ce9944bc0c2bf95d529a1f019a8859c",
-      "bytes": 34186,
-      "rows": 5,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10938",
     "deepseek:thm_10939",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010947.lean\",\"715b7f336b0806bd570b980bfe8cf5ff0b69a8447d8b090908c191f1f0bf63e8\",0,\"thm_10985\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010948.lean\",\"d977a683a3437120f982dd1b3fedbda7465ce3c9ac74e4a0d6d43f347479c4db\",0,\"thm_10986\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010949.lean\",\"2132f4082b0346423cc38ba2cd2fb4e94aa3eca11200c60c02ea8a01a245706d\",0,\"thm_10987\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380812,
+      "path": "data/train/p31/deepseek-000218-0000-06f998b3f11980da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "06f998b3f11980da9dafca57fb5b8b88aa23e42456d5951257ee9afa7b29f076"
+    },
+    {
+      "bytes": 31164,
+      "path": "data/dev/p31/deepseek-000218-0000-2633f9dab5721385.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2633f9dab5721385a902ee7a57b6ed4d90b68cbd5b52e9468f837a4dbafa0a65"
+    },
+    {
+      "bytes": 34186,
+      "path": "data/internal_test/p31/deepseek-000218-0000-09a1ea798e9f80a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "09a1ea798e9f80a7aff9d510ca75eba69ce9944bc0c2bf95d529a1f019a8859c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000219.json b/manifests/batches/deepseek/000219.json
index 77e20f4213c4f4f948bbe6538a48b6f36d5a46c7..0f50b327f68914238f661e4e7c4e60992154fdec 100644
--- a/manifests/batches/deepseek/000219.json
+++ b/manifests/batches/deepseek/000219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000219",
   "batch_fingerprint": "48b02e573b953439c638b103cc9d4f1c67338aba43253be67594da88a863e164",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000219-0000-d981d96653afa572.parquet",
-      "sha256": "d981d96653afa572940102e3eb74828ddc9c728948ddff7989167e5905691198",
-      "bytes": 303244,
-      "rows": 93,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000219-0000-38e5f940724daf18.parquet",
-      "sha256": "38e5f940724daf18ae51196ee93678f0d7b2d6b6085f7e795694337958380f9c",
-      "bytes": 37543,
-      "rows": 5,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000219-0000-af54430a2635ffe0.parquet",
-      "sha256": "af54430a2635ffe0c6dd7746da13f37caa65dbf24931f7619b5f0a326d9c70bd",
-      "bytes": 63640,
-      "rows": 16,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_10988",
     "deepseek:thm_10989",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010997.lean\",\"0e4c70db40856d9a95da2ca482dd93c88236b0e6d039ac4da4ee4efed4c8f8a7\",0,\"thm_11035\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010998.lean\",\"df9d806a83c5f6d41c66726157df03b364a97b9b9274dece6d394b56cab89466\",0,\"thm_11036\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_010999.lean\",\"3c1c715d941f51989eda8908b8d06fecea059308e062ed8b1981ba0a62708edc\",0,\"thm_11037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303244,
+      "path": "data/train/pa4/deepseek-000219-0000-d981d96653afa572.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "d981d96653afa572940102e3eb74828ddc9c728948ddff7989167e5905691198"
+    },
+    {
+      "bytes": 37543,
+      "path": "data/dev/pa4/deepseek-000219-0000-38e5f940724daf18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "38e5f940724daf18ae51196ee93678f0d7b2d6b6085f7e795694337958380f9c"
+    },
+    {
+      "bytes": 63640,
+      "path": "data/internal_test/pa4/deepseek-000219-0000-af54430a2635ffe0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "af54430a2635ffe0c6dd7746da13f37caa65dbf24931f7619b5f0a326d9c70bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000220.json b/manifests/batches/deepseek/000220.json
index 7bb193d1a5467e4fcb6979fd1e2bd8a950181eda..28735501f14c2926106d72c181721b1be2fa8402 100644
--- a/manifests/batches/deepseek/000220.json
+++ b/manifests/batches/deepseek/000220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000220",
   "batch_fingerprint": "03d0d923d4cfdafa95a6427d83a889e70d7cd7d6952c0a992d1325e784443d0e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000220-0000-495ce72628395531.parquet",
-      "sha256": "495ce726283955318a3458e495f8151088075b48156240e2cd6d9f3a9bf93029",
-      "bytes": 333816,
-      "rows": 116,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000220-0000-a416514c94d994b6.parquet",
-      "sha256": "a416514c94d994b60d6bc5bb28e2c280d10c0d358e60ef1455cccc3bf5e916c5",
-      "bytes": 42474,
-      "rows": 7,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000220-0000-5db702c01ebc2a43.parquet",
-      "sha256": "5db702c01ebc2a43f905720e9b7e908b2f46be8eeba2b600f13b18559e068abc",
-      "bytes": 58849,
-      "rows": 15,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11038",
     "deepseek:thm_11039",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011047.lean\",\"5f0d04b4a1e5369499f1db04a7395f7c897bd541aa8702c5b32e76620cf0b6d7\",0,\"thm_11085\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011048.lean\",\"8cd2e377fc6c2bfdab3d35f7cf1da7ad7f0376e413be7a7f029527b4b32a8668\",0,\"thm_11086\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011049.lean\",\"3d92e372fcde1a5156926893a481e577f291cfd57d87496df2ad9bc59af3f803\",0,\"thm_11087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333816,
+      "path": "data/train/p1a/deepseek-000220-0000-495ce72628395531.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 116,
+      "sha256": "495ce726283955318a3458e495f8151088075b48156240e2cd6d9f3a9bf93029"
+    },
+    {
+      "bytes": 42474,
+      "path": "data/dev/p1a/deepseek-000220-0000-a416514c94d994b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a416514c94d994b60d6bc5bb28e2c280d10c0d358e60ef1455cccc3bf5e916c5"
+    },
+    {
+      "bytes": 58849,
+      "path": "data/internal_test/p1a/deepseek-000220-0000-5db702c01ebc2a43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5db702c01ebc2a43f905720e9b7e908b2f46be8eeba2b600f13b18559e068abc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000221.json b/manifests/batches/deepseek/000221.json
index afd43e3e40dee48b578b5e9f72cef10ba7e74640..07476b99d181384f82c9a23b73375f99b5670e97 100644
--- a/manifests/batches/deepseek/000221.json
+++ b/manifests/batches/deepseek/000221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000221",
   "batch_fingerprint": "a028bed460f7d997df9251ce681295c905dc0bd60d549d6659cc5633798c4e8d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000221-0000-e7784dc17227ef67.parquet",
-      "sha256": "e7784dc17227ef676e80cde842de366159de78a4ef496392b3f9fbabfb6e414d",
-      "bytes": 324813,
-      "rows": 101,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000221-0000-5c39a9fbcd8aec20.parquet",
-      "sha256": "5c39a9fbcd8aec20fa868dc7fb3f1f47fd47c8f01b17a82a5136cfdb45360e5a",
-      "bytes": 51331,
-      "rows": 14,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000221-0000-8066533668f2a7c1.parquet",
-      "sha256": "8066533668f2a7c1aabbb0176d28372812d76257fb4f73bf7de49567eb6824f0",
-      "bytes": 60341,
-      "rows": 9,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11088",
     "deepseek:thm_11089",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011097.lean\",\"753dabc57ad984141d6db5c5c44a5de72143ac115b073057b259081472a7d95f\",0,\"thm_11135\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011098.lean\",\"fcac641e15c0ac416e166036fe4cd1a2e92f6a0d1cfa4e735c174ca03216746a\",0,\"thm_11136\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011099.lean\",\"1a4c5c6bfe8bcea202a501c9c62773a738fa4c225d8a967bea9c7ade7c1e7011\",0,\"thm_11137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324813,
+      "path": "data/train/p97/deepseek-000221-0000-e7784dc17227ef67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "e7784dc17227ef676e80cde842de366159de78a4ef496392b3f9fbabfb6e414d"
+    },
+    {
+      "bytes": 51331,
+      "path": "data/dev/p97/deepseek-000221-0000-5c39a9fbcd8aec20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5c39a9fbcd8aec20fa868dc7fb3f1f47fd47c8f01b17a82a5136cfdb45360e5a"
+    },
+    {
+      "bytes": 60341,
+      "path": "data/internal_test/p97/deepseek-000221-0000-8066533668f2a7c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8066533668f2a7c1aabbb0176d28372812d76257fb4f73bf7de49567eb6824f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000222.json b/manifests/batches/deepseek/000222.json
index db7839c61920539ba7754317b862b457224c1da4..c69499a92757dc2998b3deb9ce8bb95a1a0db008 100644
--- a/manifests/batches/deepseek/000222.json
+++ b/manifests/batches/deepseek/000222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000222",
   "batch_fingerprint": "02a6b710dc7947acefbfc8763f7a64fb8e36454430c587d34f86f3e439b6a84c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000222-0000-41a44fad657a806a.parquet",
-      "sha256": "41a44fad657a806ab52a663a77c3d167277191927988965b856b89817456f088",
-      "bytes": 315844,
-      "rows": 104,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000222-0000-6c074840a83ed620.parquet",
-      "sha256": "6c074840a83ed6202f96dd518d9cbe2d9f9264d17d19c1717f4e7aa87794401d",
-      "bytes": 61012,
-      "rows": 9,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000222-0000-3ab0bc1b8fd75340.parquet",
-      "sha256": "3ab0bc1b8fd75340baa9ad63ab9296f0fbc69b85e6d08c453e602f164eb14a3e",
-      "bytes": 43241,
-      "rows": 7,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11138",
     "deepseek:thm_11139",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011147.lean\",\"c591f796272577e702ff7559d3aadec6d9d457ab9e46cbcb555ecc2afedc8e34\",0,\"thm_11185\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011148.lean\",\"d38b7a0f7a3ca5e8c72be4004bd4abf305e55e196142d147380fb52f41d579ab\",0,\"thm_11186\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011149.lean\",\"3db4f91ce8323b00502929eb8ecaac47e3f7c3f71dbbe32eb6459f70856f9ed4\",0,\"thm_11187\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315844,
+      "path": "data/train/pb3/deepseek-000222-0000-41a44fad657a806a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "41a44fad657a806ab52a663a77c3d167277191927988965b856b89817456f088"
+    },
+    {
+      "bytes": 61012,
+      "path": "data/dev/pb3/deepseek-000222-0000-6c074840a83ed620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6c074840a83ed6202f96dd518d9cbe2d9f9264d17d19c1717f4e7aa87794401d"
+    },
+    {
+      "bytes": 43241,
+      "path": "data/internal_test/pb3/deepseek-000222-0000-3ab0bc1b8fd75340.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3ab0bc1b8fd75340baa9ad63ab9296f0fbc69b85e6d08c453e602f164eb14a3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000223.json b/manifests/batches/deepseek/000223.json
index 334fe3fd629fe8f9897fd72f845c7ece751e065f..3a36f66cadfbc1f39bc67fba53506119a1ea754d 100644
--- a/manifests/batches/deepseek/000223.json
+++ b/manifests/batches/deepseek/000223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000223",
   "batch_fingerprint": "69c98ae7f8593d86c787c48be1976dcae955847fbdd2dc58a24aba715d110fa5",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000223-0000-7315f594d1b7ba31.parquet",
-      "sha256": "7315f594d1b7ba3165a1bab2511254b3b0ce55369f4a4dae6dc23eca1196b49a",
-      "bytes": 338746,
-      "rows": 106,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/dev/deepseek-000223-0000-6926f5e1b729aebc.parquet",
-      "sha256": "6926f5e1b729aebce5c239303c7829ce4e24d98e5181c8685bad5ad3cc521cff",
-      "bytes": 37035,
-      "rows": 6,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000223-0000-da6f2049322d4bff.parquet",
-      "sha256": "da6f2049322d4bff7b12ef08a9ed0f4cfdd39c89fc73a38d8fa792a133bba157",
-      "bytes": 56466,
-      "rows": 12,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11188",
     "deepseek:thm_11189",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011197.lean\",\"c8e41438fcc1db817e4414975ea0fdc56ac8d6a65151567466d90fb543a8588e\",0,\"thm_11235\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011198.lean\",\"0d00143bbff9b210939391c28fca6e6b355ba3bb5ef18cd705f2f07352a7a424\",0,\"thm_11236\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011199.lean\",\"ca35b439272c8bd601aedb694c992512d7a4b37638f8ebe7f252a26415ee2005\",0,\"thm_11237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338746,
+      "path": "data/train/p41/deepseek-000223-0000-7315f594d1b7ba31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "7315f594d1b7ba3165a1bab2511254b3b0ce55369f4a4dae6dc23eca1196b49a"
+    },
+    {
+      "bytes": 37035,
+      "path": "data/dev/p41/deepseek-000223-0000-6926f5e1b729aebc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6926f5e1b729aebce5c239303c7829ce4e24d98e5181c8685bad5ad3cc521cff"
+    },
+    {
+      "bytes": 56466,
+      "path": "data/internal_test/p41/deepseek-000223-0000-da6f2049322d4bff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "da6f2049322d4bff7b12ef08a9ed0f4cfdd39c89fc73a38d8fa792a133bba157"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000224.json b/manifests/batches/deepseek/000224.json
index 33b512dfc07dbd316a14c596d94f9c6f2249aa60..fd613944ad9128d0f79dbc61566bc09d6a534170 100644
--- a/manifests/batches/deepseek/000224.json
+++ b/manifests/batches/deepseek/000224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000224",
   "batch_fingerprint": "f1d501b45143c6d9241a0951acddcae5320c2c3526f5a81a2ccef7e35bfba332",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000224-0000-42000e680329ecf3.parquet",
-      "sha256": "42000e680329ecf3764cd964e23e9dd1cc06ac693e81ec518305c06ff28cbc3f",
-      "bytes": 379914,
-      "rows": 120,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000224-0000-756745a241f7285a.parquet",
-      "sha256": "756745a241f7285a41e367b739252b1ca338f3a2bc28a40fbbf4cd2424d532ab",
-      "bytes": 58888,
-      "rows": 10,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11238",
     "deepseek:thm_11239",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011247.lean\",\"09108e9f7888527cfd79cffc5ce51b04fb54264c42f7d8a0c0e5e1cc599442a7\",0,\"thm_11285\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011248.lean\",\"de686c8dd85426d1dd4312bd187398041c56d0fcd8bc6ea341c1ac7ef8f0b035\",0,\"thm_11286\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011249.lean\",\"36beb393a023f33e11e1e040d1ea77b671e20167ad78e65c0c1694944af13c6c\",0,\"thm_11287\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379914,
+      "path": "data/train/p40/deepseek-000224-0000-42000e680329ecf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 120,
+      "sha256": "42000e680329ecf3764cd964e23e9dd1cc06ac693e81ec518305c06ff28cbc3f"
+    },
+    {
+      "bytes": 58888,
+      "path": "data/dev/p40/deepseek-000224-0000-756745a241f7285a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "756745a241f7285a41e367b739252b1ca338f3a2bc28a40fbbf4cd2424d532ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000225.json b/manifests/batches/deepseek/000225.json
index 1eca82c73cb576cca31e79aba3cc4a97af6bebe3..2497b2ce37ecbfc310c266fc72f522eba92dfd43 100644
--- a/manifests/batches/deepseek/000225.json
+++ b/manifests/batches/deepseek/000225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000225",
   "batch_fingerprint": "7611c21c371226906eb678027b393219d6bd07f94c1efc27268f324ee5e9d336",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000225-0000-087390940946e712.parquet",
-      "sha256": "087390940946e712303f024881cba2bd70cabf14cfa284d3946afe6f32a33550",
-      "bytes": 357474,
-      "rows": 122,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/deepseek-000225-0000-ac91d4b229145fe9.parquet",
-      "sha256": "ac91d4b229145fe9d8968ff8cc7cf0cb9e74d93c81d42b8f02204ee374335d3f",
-      "bytes": 34864,
-      "rows": 2,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/deepseek-000225-0000-f7d31ce12192f59d.parquet",
-      "sha256": "f7d31ce12192f59dc9d13b5f33e8a38e415133c306f6c1b9fe1eb7bed866a9a0",
-      "bytes": 59972,
-      "rows": 5,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11288",
     "deepseek:thm_11289",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011297.lean\",\"47a69d0db9ede8ad8f86ad1361b035f2e48020016c8040fb717287a1eac420ac\",0,\"thm_11335\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011298.lean\",\"9715f4534d3dc211a4c3e9bd4fa0ca5113bf9fe988d8ce1a12aaa799847e45c2\",0,\"thm_11336\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011299.lean\",\"ca4684611ff57339ef162cc9a64a39db5a540b34b205ba60aeb94a957edf9807\",0,\"thm_11337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357474,
+      "path": "data/train/pe7/deepseek-000225-0000-087390940946e712.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "087390940946e712303f024881cba2bd70cabf14cfa284d3946afe6f32a33550"
+    },
+    {
+      "bytes": 34864,
+      "path": "data/dev/pe7/deepseek-000225-0000-ac91d4b229145fe9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ac91d4b229145fe9d8968ff8cc7cf0cb9e74d93c81d42b8f02204ee374335d3f"
+    },
+    {
+      "bytes": 59972,
+      "path": "data/internal_test/pe7/deepseek-000225-0000-f7d31ce12192f59d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f7d31ce12192f59dc9d13b5f33e8a38e415133c306f6c1b9fe1eb7bed866a9a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000226.json b/manifests/batches/deepseek/000226.json
index 95ab810fbd48181d78c6b9a818d9d243fefa76db..571dee95464c87569f23de766111a4a8d4d2ff84 100644
--- a/manifests/batches/deepseek/000226.json
+++ b/manifests/batches/deepseek/000226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000226",
   "batch_fingerprint": "55b9896d9fbd13e9babf386337d603039a11d05331c009f71b3bb93b8d015090",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000226-0000-79fabe09cc0d9cc7.parquet",
-      "sha256": "79fabe09cc0d9cc7bde41e1165babe4dbb36ae5135956edfd2e0a60796b2826e",
-      "bytes": 258880,
-      "rows": 91,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/deepseek-000226-0000-568efbe8c964d446.parquet",
-      "sha256": "568efbe8c964d44692b1cb642972122d5f467be8f151ef8fb6945a0ff273ddf1",
-      "bytes": 56366,
-      "rows": 11,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000226-0000-411585c52b942943.parquet",
-      "sha256": "411585c52b942943a71cbd47ce63442f79c62acb8dfb407b9f64938a08d1544c",
-      "bytes": 49965,
-      "rows": 7,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11338",
     "deepseek:thm_11339",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011347.lean\",\"419094d94e6c7b2b8bfa967f312d82afa72454f30dbfce4df4ad125e83fbdc03\",0,\"thm_11385\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011348.lean\",\"9011c458fa0605dbbb0e693fea0c9ec747f5d4174a8306e6d4ec27950620cf56\",0,\"thm_11386\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011349.lean\",\"fc2432faec8fb0bc4bf8b230eee4ecf12a67da3a0717c608910b41c80364dd47\",0,\"thm_11387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258880,
+      "path": "data/train/pd1/deepseek-000226-0000-79fabe09cc0d9cc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "79fabe09cc0d9cc7bde41e1165babe4dbb36ae5135956edfd2e0a60796b2826e"
+    },
+    {
+      "bytes": 56366,
+      "path": "data/dev/pd1/deepseek-000226-0000-568efbe8c964d446.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "568efbe8c964d44692b1cb642972122d5f467be8f151ef8fb6945a0ff273ddf1"
+    },
+    {
+      "bytes": 49965,
+      "path": "data/internal_test/pd1/deepseek-000226-0000-411585c52b942943.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "411585c52b942943a71cbd47ce63442f79c62acb8dfb407b9f64938a08d1544c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000227.json b/manifests/batches/deepseek/000227.json
index 7c73f35bb8de8330c0d25a428c81a6c2c69d3bff..b552df8f950bdcc137ca4976943df1a60fde7b07 100644
--- a/manifests/batches/deepseek/000227.json
+++ b/manifests/batches/deepseek/000227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000227",
   "batch_fingerprint": "9dc4b3d712445c68f63e679725265373b101b9cc149883d80df97b634a002bf2",
   "evidence": {
@@ -75,29 +74,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000227-0000-88139d52c241d437.parquet",
-      "sha256": "88139d52c241d4377d998883d65385912affaf88240239fa162d653974416853",
-      "bytes": 318054,
-      "rows": 92,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/deepseek-000227-0000-9182ceb15c7d836b.parquet",
-      "sha256": "9182ceb15c7d836b0c55fe1199e6f788ce103a75ae50dd57b1781c50ab2fdf83",
-      "bytes": 53576,
-      "rows": 12,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000227-0000-1b86b35b19fa6b8d.parquet",
-      "sha256": "1b86b35b19fa6b8ddf11783d058e680e8d41650f81b4a74d5de47ab310142113",
-      "bytes": 63032,
-      "rows": 14,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11388",
     "deepseek:thm_11389",
@@ -195,5 +172,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011397.lean\",\"2cc8746233c392aeee14388ef11319a7e85ba90200df583ba61285d9d0cd12c9\",0,\"thm_11435\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011398.lean\",\"edc78679cc15b0e7f8644c9b184426114520a2dbc39409f61eab7ba4ff7054c4\",0,\"thm_11436\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011399.lean\",\"f80c30e90f7b7263e4ffdd90735040db0ac28e6c41a4bd8f6df752e7c5ec9227\",0,\"thm_11437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318054,
+      "path": "data/train/pe0/deepseek-000227-0000-88139d52c241d437.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "88139d52c241d4377d998883d65385912affaf88240239fa162d653974416853"
+    },
+    {
+      "bytes": 53576,
+      "path": "data/dev/pe0/deepseek-000227-0000-9182ceb15c7d836b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9182ceb15c7d836b0c55fe1199e6f788ce103a75ae50dd57b1781c50ab2fdf83"
+    },
+    {
+      "bytes": 63032,
+      "path": "data/internal_test/pe0/deepseek-000227-0000-1b86b35b19fa6b8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1b86b35b19fa6b8ddf11783d058e680e8d41650f81b4a74d5de47ab310142113"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000228.json b/manifests/batches/deepseek/000228.json
index 7bfdb5e7ca81b501f3e192d419382d0066db8c2f..be9f516411b5e0f1040522c0738e6cc6612cbf4e 100644
--- a/manifests/batches/deepseek/000228.json
+++ b/manifests/batches/deepseek/000228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000228",
   "batch_fingerprint": "e1a24002d69dd3b117c905a7da443729f3506073d70f4149ce1a7acc5458141f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000228-0000-1ef63b154109455e.parquet",
-      "sha256": "1ef63b154109455edafc86aacab2565dd2226f2a2f74d69917353d29fa2bbb43",
-      "bytes": 273381,
-      "rows": 92,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/deepseek-000228-0000-f51ecba3e093589c.parquet",
-      "sha256": "f51ecba3e093589c8339b767e5fb5f8fad76e8e2fac90868a973d28cf741e3ff",
-      "bytes": 42254,
-      "rows": 5,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000228-0000-037d48c570e86bf8.parquet",
-      "sha256": "037d48c570e86bf8488a6bc7b7726b6dc030bf4d87ccdc43d4f2a6687d47ed20",
-      "bytes": 62887,
-      "rows": 19,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11438",
     "deepseek:thm_11439",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011447.lean\",\"63c7345ca49c84f3eb851afe3769ac8ace57dc30d2b0f9a71c428b32b79c3f61\",0,\"thm_11485\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011448.lean\",\"41e212c1bc13e5ab4937d057422fba7be7ec81b095e1c53a007e85ee2853c2f6\",0,\"thm_11486\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011449.lean\",\"423e94f23c225c28a4dbc65c0f36e698bf5f390e37f183665bbf3ec09e0cee40\",0,\"thm_11487\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273381,
+      "path": "data/train/p50/deepseek-000228-0000-1ef63b154109455e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "1ef63b154109455edafc86aacab2565dd2226f2a2f74d69917353d29fa2bbb43"
+    },
+    {
+      "bytes": 42254,
+      "path": "data/dev/p50/deepseek-000228-0000-f51ecba3e093589c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f51ecba3e093589c8339b767e5fb5f8fad76e8e2fac90868a973d28cf741e3ff"
+    },
+    {
+      "bytes": 62887,
+      "path": "data/internal_test/p50/deepseek-000228-0000-037d48c570e86bf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "037d48c570e86bf8488a6bc7b7726b6dc030bf4d87ccdc43d4f2a6687d47ed20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000229.json b/manifests/batches/deepseek/000229.json
index 4cbf59a4a7f59fc8ef92c688fd6efe90407a3208..b40044853bd3660bd52c095aca9941fa7a59b0fb 100644
--- a/manifests/batches/deepseek/000229.json
+++ b/manifests/batches/deepseek/000229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000229",
   "batch_fingerprint": "c45cad41292b7066b003aaa14361f36ad5223a36d86b41730c4e4c9c8b07115a",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000229-0000-0b575f0f95b24b6e.parquet",
-      "sha256": "0b575f0f95b24b6e3304b72256b07f9b16b0b05c7ade46d84e929512e6835aab",
-      "bytes": 269622,
-      "rows": 93,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/deepseek-000229-0000-c064eabd60695f08.parquet",
-      "sha256": "c064eabd60695f0846dc121dcc058c3f577764c9942350ef6c26642dab3a1138",
-      "bytes": 32119,
-      "rows": 6,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000229-0000-01a08c92c6292afc.parquet",
-      "sha256": "01a08c92c6292afc4ca51ee94ae6982fc84ecd262799a1624f37a21453e46808",
-      "bytes": 71391,
-      "rows": 19,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11488",
     "deepseek:thm_11489",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011497.lean\",\"2a706356c58e6ac4fdbf801f75903c5b906e1a34f3d1a411c81ddb9f4f272498\",0,\"thm_11535\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011498.lean\",\"ec2319dffb895ef75dce041f6b6ad07f919a4c7e88274fb8e3a1ae11b88350df\",0,\"thm_11536\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011499.lean\",\"ee345256a56a1614a7d906cc0d805002f1edca4379ec6c904c051551d17957ae\",0,\"thm_11537\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269622,
+      "path": "data/train/peb/deepseek-000229-0000-0b575f0f95b24b6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "0b575f0f95b24b6e3304b72256b07f9b16b0b05c7ade46d84e929512e6835aab"
+    },
+    {
+      "bytes": 32119,
+      "path": "data/dev/peb/deepseek-000229-0000-c064eabd60695f08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c064eabd60695f0846dc121dcc058c3f577764c9942350ef6c26642dab3a1138"
+    },
+    {
+      "bytes": 71391,
+      "path": "data/internal_test/peb/deepseek-000229-0000-01a08c92c6292afc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "01a08c92c6292afc4ca51ee94ae6982fc84ecd262799a1624f37a21453e46808"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000230.json b/manifests/batches/deepseek/000230.json
index fa44251a0660bac4139d903aa1dd76c044918507..ed08e14b2b24c18a58365530faeca8f4e107aa6e 100644
--- a/manifests/batches/deepseek/000230.json
+++ b/manifests/batches/deepseek/000230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000230",
   "batch_fingerprint": "7281deb117b9dd40effbcca248e6fd942f855035f7206878f170d8aa2b74459f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000230-0000-737f623b174b0eab.parquet",
-      "sha256": "737f623b174b0eab69c6f350513440aeee944f7d2c489d130df67be45a3a21c1",
-      "bytes": 286993,
-      "rows": 90,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/deepseek-000230-0000-c1fe8007a2368380.parquet",
-      "sha256": "c1fe8007a2368380a032553344eaa52b00aa94483d98739b7dbf924d444e43b0",
-      "bytes": 48074,
-      "rows": 4,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000230-0000-ebb8415c671e02c4.parquet",
-      "sha256": "ebb8415c671e02c45976728d63489de61548ec4b07ba8a73a7b006642a5763b7",
-      "bytes": 53252,
-      "rows": 12,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11538",
     "deepseek:thm_11539",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011547.lean\",\"c0ccef98170359d7a7e749472fea71cec4b6b91191b42924f0b2df325df48cec\",0,\"thm_11585\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011548.lean\",\"66333014d0b0e5628e0baeb4b61a237f292df59c646f5717b7f116cc530b609d\",0,\"thm_11586\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011549.lean\",\"c7551357fcb210984cbfd76faee79dd03bbe2d3dbd1db58b26cde1cf1e00a102\",0,\"thm_11587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286993,
+      "path": "data/train/p34/deepseek-000230-0000-737f623b174b0eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "737f623b174b0eab69c6f350513440aeee944f7d2c489d130df67be45a3a21c1"
+    },
+    {
+      "bytes": 48074,
+      "path": "data/dev/p34/deepseek-000230-0000-c1fe8007a2368380.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c1fe8007a2368380a032553344eaa52b00aa94483d98739b7dbf924d444e43b0"
+    },
+    {
+      "bytes": 53252,
+      "path": "data/internal_test/p34/deepseek-000230-0000-ebb8415c671e02c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ebb8415c671e02c45976728d63489de61548ec4b07ba8a73a7b006642a5763b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000231.json b/manifests/batches/deepseek/000231.json
index c743d4f81435df03cab2f4395894df8f2ef24064..7af340420c22a7247179cde17446a9c43f4aad64 100644
--- a/manifests/batches/deepseek/000231.json
+++ b/manifests/batches/deepseek/000231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000231",
   "batch_fingerprint": "f43aed33564aefcda0e3360c0e6a3df545934932da65c3921b277acc632a49b9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000231-0000-4025bf2bab5d52ec.parquet",
-      "sha256": "4025bf2bab5d52ec4a4c4c94a2fbea9450eab04cf407834468902799ed18e6fd",
-      "bytes": 340562,
-      "rows": 101,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/deepseek-000231-0000-3717829139f6e5f3.parquet",
-      "sha256": "3717829139f6e5f385d99ade60950e820c433c8ed89daa4c596b460f076cfe39",
-      "bytes": 34309,
-      "rows": 5,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000231-0000-d5fb022643c9da6a.parquet",
-      "sha256": "d5fb022643c9da6ac6be6d7d48aa7124c8d2e86bc05ced14d4f5378f6ac5da83",
-      "bytes": 49473,
-      "rows": 13,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11588",
     "deepseek:thm_11589",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011597.lean\",\"0fe9b985dfb6cc1c7e4704aaf53ac7b49d520924abbdd628c4f44f46f1cf26b6\",0,\"thm_11635\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011598.lean\",\"d548e7e20aadbeb3f02eab75018062ea665b57877f088a5c5965afc1eabe036a\",0,\"thm_11636\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011599.lean\",\"caad8397fd3d082d1b426883687db849b9c2d8d82d8233fd37679ec19aaf213a\",0,\"thm_11637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340562,
+      "path": "data/train/pea/deepseek-000231-0000-4025bf2bab5d52ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "4025bf2bab5d52ec4a4c4c94a2fbea9450eab04cf407834468902799ed18e6fd"
+    },
+    {
+      "bytes": 34309,
+      "path": "data/dev/pea/deepseek-000231-0000-3717829139f6e5f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3717829139f6e5f385d99ade60950e820c433c8ed89daa4c596b460f076cfe39"
+    },
+    {
+      "bytes": 49473,
+      "path": "data/internal_test/pea/deepseek-000231-0000-d5fb022643c9da6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d5fb022643c9da6ac6be6d7d48aa7124c8d2e86bc05ced14d4f5378f6ac5da83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000232.json b/manifests/batches/deepseek/000232.json
index 97de91248e75a57dfc5db253e3caf10ef7d5d687..dfe4153a84715d836dbc21cb778c17e40f6d268c 100644
--- a/manifests/batches/deepseek/000232.json
+++ b/manifests/batches/deepseek/000232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000232",
   "batch_fingerprint": "4e72390bdb77a1ae1219a7d9b5b66328d9d8401aa9ac6901869e47ad9c2f1ece",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000232-0000-e7f9c743bedeaf14.parquet",
-      "sha256": "e7f9c743bedeaf142a52f893c164cb6b01dbe40bc50ce6a7fc1b84654592e86b",
-      "bytes": 325814,
-      "rows": 104,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/deepseek-000232-0000-0bf25c9358633804.parquet",
-      "sha256": "0bf25c93586338045f1633662c0f7a5da7d8c4e5778f7bd6eaa6ff796a477567",
-      "bytes": 54013,
-      "rows": 11,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000232-0000-3f267bf1a6c9041b.parquet",
-      "sha256": "3f267bf1a6c9041bd3f9c3104dfbe821b57de69ea77e1c50826101e9b7198c6c",
-      "bytes": 53600,
-      "rows": 10,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11638",
     "deepseek:thm_11639",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011647.lean\",\"1e6eacbc900cdb9194171345b41a3bba28fe32459c4b7ca2b467ec22a859cde2\",0,\"thm_11685\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011648.lean\",\"dfd72c31c5313bb440c365c0009cdd16f9a3f4fadb351821636da1db27ca139b\",0,\"thm_11686\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011649.lean\",\"801b13446a0912afa24bf78a44aa5920283d2c74857b23e1e1cc5d9fd7e31e6a\",0,\"thm_11687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325814,
+      "path": "data/train/p37/deepseek-000232-0000-e7f9c743bedeaf14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "e7f9c743bedeaf142a52f893c164cb6b01dbe40bc50ce6a7fc1b84654592e86b"
+    },
+    {
+      "bytes": 54013,
+      "path": "data/dev/p37/deepseek-000232-0000-0bf25c9358633804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0bf25c93586338045f1633662c0f7a5da7d8c4e5778f7bd6eaa6ff796a477567"
+    },
+    {
+      "bytes": 53600,
+      "path": "data/internal_test/p37/deepseek-000232-0000-3f267bf1a6c9041b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3f267bf1a6c9041bd3f9c3104dfbe821b57de69ea77e1c50826101e9b7198c6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000233.json b/manifests/batches/deepseek/000233.json
index 7112141450b65d88faac35414af247852037623c..a2743505a5b6933da46c9fe48127c460f9983460 100644
--- a/manifests/batches/deepseek/000233.json
+++ b/manifests/batches/deepseek/000233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000233",
   "batch_fingerprint": "67c4fcd0dd8ba57f8a5c4bf1f49de374fe68062cf6bb31feb8d7a92d3137157f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000233-0000-48e0809430a214a1.parquet",
-      "sha256": "48e0809430a214a1b8d32a3fa6c70b65152ca30f8254d1ba4c7c278c03bb8ca1",
-      "bytes": 355367,
-      "rows": 103,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/deepseek-000233-0000-4f3a467149abdaf3.parquet",
-      "sha256": "4f3a467149abdaf3d84649fee839536ffb870417c5d8573445849b6ec260f4d4",
-      "bytes": 41399,
-      "rows": 7,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000233-0000-65a9c0eac97b9523.parquet",
-      "sha256": "65a9c0eac97b9523ab406669d56399a1434e744820245a7ba7cf3d017af509cb",
-      "bytes": 30460,
-      "rows": 3,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11688",
     "deepseek:thm_11689",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011697.lean\",\"386f5308d921d9a4d8e4ff12e38665aa74d48511dc735380c7602ea04ebb8fb5\",0,\"thm_11735\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011698.lean\",\"608d5ebadb1ca3c4bb2ea5efbf1fb8b06bfaa9f5c491a715f335444552f7a91e\",0,\"thm_11736\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011699.lean\",\"07a33704525131e7c03482f152f1f781dae61a55174df1f251c6607f81c3b96f\",0,\"thm_11737\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355367,
+      "path": "data/train/p22/deepseek-000233-0000-48e0809430a214a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "48e0809430a214a1b8d32a3fa6c70b65152ca30f8254d1ba4c7c278c03bb8ca1"
+    },
+    {
+      "bytes": 41399,
+      "path": "data/dev/p22/deepseek-000233-0000-4f3a467149abdaf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4f3a467149abdaf3d84649fee839536ffb870417c5d8573445849b6ec260f4d4"
+    },
+    {
+      "bytes": 30460,
+      "path": "data/internal_test/p22/deepseek-000233-0000-65a9c0eac97b9523.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "65a9c0eac97b9523ab406669d56399a1434e744820245a7ba7cf3d017af509cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000234.json b/manifests/batches/deepseek/000234.json
index ad1fe30820d4c23395e0cc74108c3caaa348acba..0f8a53bdde682eef82c5bea7740cce0895f70fd3 100644
--- a/manifests/batches/deepseek/000234.json
+++ b/manifests/batches/deepseek/000234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000234",
   "batch_fingerprint": "478007b58b2e295f28e51c1e3c9caa0318dbcf99463ef3666968922adb32a3ee",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000234-0000-71048334586f3532.parquet",
-      "sha256": "71048334586f35327f624e554ebff896b4b7ca41cc10eff8e47c04edd8a994ab",
-      "bytes": 318014,
-      "rows": 105,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/deepseek-000234-0000-3d6d7b5bf6c32e35.parquet",
-      "sha256": "3d6d7b5bf6c32e35f1879e21f5d89b6575a145aa82a0176010c91629f1dced3e",
-      "bytes": 30095,
-      "rows": 2,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000234-0000-fecb14ad9031358f.parquet",
-      "sha256": "fecb14ad9031358f186ccba7e059a20464d0e24c40412e42c5bfe3b7a8c87565",
-      "bytes": 37961,
-      "rows": 4,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11738",
     "deepseek:thm_11739",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011747.lean\",\"c58f132cd410e3d198aa21393ad7a18f47aa8e3c1b4271769d01a7ca0c658fb8\",0,\"thm_11785\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011748.lean\",\"d9ba7e9e7868cd422fdfb3e088ffaa12073fc9ac8f2f82e9d3abaf3227e8b703\",0,\"thm_11786\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011749.lean\",\"bad6a3aa8705fd709b26c0c315ef3a6197aa8ee6d49dee0d1da788b087d3f35f\",0,\"thm_11787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318014,
+      "path": "data/train/p73/deepseek-000234-0000-71048334586f3532.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "71048334586f35327f624e554ebff896b4b7ca41cc10eff8e47c04edd8a994ab"
+    },
+    {
+      "bytes": 30095,
+      "path": "data/dev/p73/deepseek-000234-0000-3d6d7b5bf6c32e35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3d6d7b5bf6c32e35f1879e21f5d89b6575a145aa82a0176010c91629f1dced3e"
+    },
+    {
+      "bytes": 37961,
+      "path": "data/internal_test/p73/deepseek-000234-0000-fecb14ad9031358f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fecb14ad9031358f186ccba7e059a20464d0e24c40412e42c5bfe3b7a8c87565"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000235.json b/manifests/batches/deepseek/000235.json
index b1255940bba7e3e080379af9c3150e352f6f4de9..03d160f271fd36add0d94c8d316459de6005a6c2 100644
--- a/manifests/batches/deepseek/000235.json
+++ b/manifests/batches/deepseek/000235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000235",
   "batch_fingerprint": "40d40823be6df4281aaee3461cf796c14522d91c87bc74ea20b26415407baf96",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000235-0000-c59b07971820555c.parquet",
-      "sha256": "c59b07971820555c3dd21f43ebe26500e65c05d243b35bb9b2e44f0ecd8a2c75",
-      "bytes": 348568,
-      "rows": 101,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/dev/deepseek-000235-0000-13655c17dbb1d504.parquet",
-      "sha256": "13655c17dbb1d504c17d51d55a0b1d73a56662d4c85a111481e4450fe444cf2c",
-      "bytes": 49555,
-      "rows": 5,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/deepseek-000235-0000-ed4f3e909fab2813.parquet",
-      "sha256": "ed4f3e909fab28137f1cd90fab432d0333981849b608ad46818a7b0e1b382120",
-      "bytes": 38177,
-      "rows": 5,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11788",
     "deepseek:thm_11789",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011797.lean\",\"cc2c7d824b601d1bc42ddecfa54f3e1ee8bd905acb3ab45b92ac4da0377aa6a4\",0,\"thm_11835\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011798.lean\",\"3f3b5eebd86eff218b6f741475636cfc58488a07ad8a22d909c6bf0d798d1ce5\",0,\"thm_11836\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011799.lean\",\"d1cdafdb98af847b6006a80517112efb7e1218a83c09dcdeffc6d4ec12cbe7e4\",0,\"thm_11837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348568,
+      "path": "data/train/p55/deepseek-000235-0000-c59b07971820555c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "c59b07971820555c3dd21f43ebe26500e65c05d243b35bb9b2e44f0ecd8a2c75"
+    },
+    {
+      "bytes": 49555,
+      "path": "data/dev/p55/deepseek-000235-0000-13655c17dbb1d504.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "13655c17dbb1d504c17d51d55a0b1d73a56662d4c85a111481e4450fe444cf2c"
+    },
+    {
+      "bytes": 38177,
+      "path": "data/internal_test/p55/deepseek-000235-0000-ed4f3e909fab2813.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ed4f3e909fab28137f1cd90fab432d0333981849b608ad46818a7b0e1b382120"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000236.json b/manifests/batches/deepseek/000236.json
index 6fd5ceb4a4329d4e179a34e84902f9ddd65b2f27..0506b51a5de7375cfb46384cf94cd4bfdc87ed71 100644
--- a/manifests/batches/deepseek/000236.json
+++ b/manifests/batches/deepseek/000236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000236",
   "batch_fingerprint": "4eff2e461fe1ed42dfb9eadf9c0b18aa042da9d6178b27b85ff10b982f8a0d01",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000236-0000-75c798d2f61ce0e6.parquet",
-      "sha256": "75c798d2f61ce0e64406a2e1274726589ea5287959feef3c938bd6a45469c10e",
-      "bytes": 337867,
-      "rows": 105,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/deepseek-000236-0000-fb89f6d36ac84974.parquet",
-      "sha256": "fb89f6d36ac8497434fede20a2e9165e7a7c91ef3000761e0b05a43f4bf3081f",
-      "bytes": 31440,
-      "rows": 2,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000236-0000-9f881c1b18e75017.parquet",
-      "sha256": "9f881c1b18e75017b41d14f06ce83db32d6314fefe07d1d10c896e1ddcc1108c",
-      "bytes": 86891,
-      "rows": 24,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11838",
     "deepseek:thm_11839",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011847.lean\",\"3a61e74800f2a6b9c0cbeee5db13777777e9b9ab915ce67f2b32c22abee0084c\",0,\"thm_11885\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011848.lean\",\"31015e699d4c02bf37a632240bc7b80232e9f20148f5dcd190e17169a197da5a\",0,\"thm_11886\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011849.lean\",\"03b7ae6954c6926e161479179b3498e6d86eead751b8b2dd6294a06ae273b4bf\",0,\"thm_11887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337867,
+      "path": "data/train/p74/deepseek-000236-0000-75c798d2f61ce0e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "75c798d2f61ce0e64406a2e1274726589ea5287959feef3c938bd6a45469c10e"
+    },
+    {
+      "bytes": 31440,
+      "path": "data/dev/p74/deepseek-000236-0000-fb89f6d36ac84974.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fb89f6d36ac8497434fede20a2e9165e7a7c91ef3000761e0b05a43f4bf3081f"
+    },
+    {
+      "bytes": 86891,
+      "path": "data/internal_test/p74/deepseek-000236-0000-9f881c1b18e75017.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9f881c1b18e75017b41d14f06ce83db32d6314fefe07d1d10c896e1ddcc1108c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000237.json b/manifests/batches/deepseek/000237.json
index 8b4774f8f45611ce12dee296f13888e85a2bd71a..72939160d8c400cccf650ecef755a3247d6b18e3 100644
--- a/manifests/batches/deepseek/000237.json
+++ b/manifests/batches/deepseek/000237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000237",
   "batch_fingerprint": "4017b48cea3f5103815446af7f50b6a5b33c1877ef5d85cd4ceef8dad54d87ae",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000237-0000-e368f89ea6e868d3.parquet",
-      "sha256": "e368f89ea6e868d3703f7d92ff284ee355bc996b49ef138fe335e360972743f2",
-      "bytes": 345158,
-      "rows": 105,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/deepseek-000237-0000-69272f14ca3ffbd7.parquet",
-      "sha256": "69272f14ca3ffbd7035fec4513352f11727c6a7035edc279809cd83e2e2c65c2",
-      "bytes": 47555,
-      "rows": 5,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000237-0000-9dfb5bbf5b89061b.parquet",
-      "sha256": "9dfb5bbf5b89061b6f20ae83f7bc325109aa8c519ab6bc5e72b024efc47bd7ce",
-      "bytes": 46892,
-      "rows": 8,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11888",
     "deepseek:thm_11889",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011897.lean\",\"29af1c747091c4a7b32850b2862e879ae8cd570a9a9b31820e218755eac6de17\",0,\"thm_11936\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011898.lean\",\"dff976510b68d1dbcc2a26b5bd5b7374ceb7ddc40ece72bf2857e7306c0dbd0b\",0,\"thm_11937\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011899.lean\",\"ed2686c4cd3816d7195b15e8abdf1d29103ca40c4f5ff332de36412d0737675c\",0,\"thm_11938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345158,
+      "path": "data/train/p90/deepseek-000237-0000-e368f89ea6e868d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "e368f89ea6e868d3703f7d92ff284ee355bc996b49ef138fe335e360972743f2"
+    },
+    {
+      "bytes": 47555,
+      "path": "data/dev/p90/deepseek-000237-0000-69272f14ca3ffbd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "69272f14ca3ffbd7035fec4513352f11727c6a7035edc279809cd83e2e2c65c2"
+    },
+    {
+      "bytes": 46892,
+      "path": "data/internal_test/p90/deepseek-000237-0000-9dfb5bbf5b89061b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9dfb5bbf5b89061b6f20ae83f7bc325109aa8c519ab6bc5e72b024efc47bd7ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000238.json b/manifests/batches/deepseek/000238.json
index a3f84c188e37425e7dd4ad78ecc7528ec070630d..27f565c16d3dd90d314c1d73806b7640e6abfb49 100644
--- a/manifests/batches/deepseek/000238.json
+++ b/manifests/batches/deepseek/000238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000238",
   "batch_fingerprint": "0d7ccb3820e9f942bc17ddb8fced520ec33a95075d8826efc28183d88f77a80f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000238-0000-fea05d66f52e42a2.parquet",
-      "sha256": "fea05d66f52e42a2c7dcf4622bc80da20ce3688934f45fad31f8e7ce36e42241",
-      "bytes": 277730,
-      "rows": 85,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000238-0000-7d732695380af1eb.parquet",
-      "sha256": "7d732695380af1eb7aa93ffa0bf742df63777bd826b7f8691e31052d66086695",
-      "bytes": 68554,
-      "rows": 17,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11939",
     "deepseek:thm_11940",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011947.lean\",\"c451ea7834eb6388288de6f127c92ff62becb0fee9926bfa5135b765c3bb5913\",0,\"thm_11986\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011948.lean\",\"989791ae1a30bcffdfc34472f4fc95c23a6833477110f31ffc54211fe628a3ef\",0,\"thm_11987\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011949.lean\",\"bbef76f5a9c9e07e4fc16193165c95d91d8899890a323bb2a7979979d54c4d4b\",0,\"thm_11988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277730,
+      "path": "data/train/p49/deepseek-000238-0000-fea05d66f52e42a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "fea05d66f52e42a2c7dcf4622bc80da20ce3688934f45fad31f8e7ce36e42241"
+    },
+    {
+      "bytes": 68554,
+      "path": "data/internal_test/p49/deepseek-000238-0000-7d732695380af1eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7d732695380af1eb7aa93ffa0bf742df63777bd826b7f8691e31052d66086695"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000239.json b/manifests/batches/deepseek/000239.json
index 0b52ce87027c45a78b2f9c404ba50438b190f628..0491cdf96e837e56e5f9cd1ea776a7d23a33046b 100644
--- a/manifests/batches/deepseek/000239.json
+++ b/manifests/batches/deepseek/000239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000239",
   "batch_fingerprint": "cab1eee5448c54dce3fdfea67db60f115f25c7044a976d0abf548cd243dda4b8",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000239-0000-48b1bc5431901f94.parquet",
-      "sha256": "48b1bc5431901f949e019577456906a29d116008861e44fc52e800f455a7a5e3",
-      "bytes": 264360,
-      "rows": 86,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/dev/deepseek-000239-0000-6446c705a6ad9312.parquet",
-      "sha256": "6446c705a6ad93122422f040638eac130919f9c5c3f0b07335a385820055b2ee",
-      "bytes": 42504,
-      "rows": 6,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/deepseek-000239-0000-29b96548c921c474.parquet",
-      "sha256": "29b96548c921c474fb027495122bb9150829e78a429344a5af365269eb84d36e",
-      "bytes": 75808,
-      "rows": 25,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_11989",
     "deepseek:thm_11990",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011997.lean\",\"dbb5313f95ee9c5d0b4877ad4ab0732abc3720ec85d5b85d260edd4d3c157f0b\",0,\"thm_12036\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011998.lean\",\"f0f4df5f6e947869283dab84169a6f150b313e7848b71e60ea3971cc8b9de6e0\",0,\"thm_12037\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_011999.lean\",\"c6ae453a2bd234772eb13d8fab0d0ce3960de7ea1ebdf2ffa319deb08df3aaa0\",0,\"thm_12038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264360,
+      "path": "data/train/p08/deepseek-000239-0000-48b1bc5431901f94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "48b1bc5431901f949e019577456906a29d116008861e44fc52e800f455a7a5e3"
+    },
+    {
+      "bytes": 42504,
+      "path": "data/dev/p08/deepseek-000239-0000-6446c705a6ad9312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6446c705a6ad93122422f040638eac130919f9c5c3f0b07335a385820055b2ee"
+    },
+    {
+      "bytes": 75808,
+      "path": "data/internal_test/p08/deepseek-000239-0000-29b96548c921c474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "29b96548c921c474fb027495122bb9150829e78a429344a5af365269eb84d36e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000240.json b/manifests/batches/deepseek/000240.json
index 3fc112df9049bcb859b48e8e3d153b10c0684587..02390fe6c9b7d9ec137187d5d8b9cc4c7e8de854 100644
--- a/manifests/batches/deepseek/000240.json
+++ b/manifests/batches/deepseek/000240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000240",
   "batch_fingerprint": "4063fc867b9cfe2e2b451dc019a6a26216c89e2b72b3f1185c436bc7cf2d7584",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000240-0000-78ecf100dbee702d.parquet",
-      "sha256": "78ecf100dbee702d038612ed467f960d1b796acb8f514108e32fe36fccc7f01c",
-      "bytes": 363015,
-      "rows": 105,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/dev/deepseek-000240-0000-18fa078836c5ae16.parquet",
-      "sha256": "18fa078836c5ae16f225a50d84635cca38a207c6802513fe2198425392c3e75e",
-      "bytes": 41838,
-      "rows": 8,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/deepseek-000240-0000-3c8d764415239da7.parquet",
-      "sha256": "3c8d764415239da7e302286fe070c563c2b6cc0f289fd79104669995c8796598",
-      "bytes": 42502,
-      "rows": 9,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12040",
     "deepseek:thm_12041",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012047.lean\",\"ce5df372a5d17c75cbf79d55a7566f42b97a9d7baf3a444cf01d4939aa273640\",0,\"thm_12086\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012048.lean\",\"352b16d17ff0cfa58781a366cfdd56109a48b56779897a379cec4bce243c2a18\",0,\"thm_12087\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012049.lean\",\"2df31ead045d4cda688a7beb1519eeb625b9bbb4a17fb3532dab289b8073ef17\",0,\"thm_12088\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363015,
+      "path": "data/train/pef/deepseek-000240-0000-78ecf100dbee702d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "78ecf100dbee702d038612ed467f960d1b796acb8f514108e32fe36fccc7f01c"
+    },
+    {
+      "bytes": 41838,
+      "path": "data/dev/pef/deepseek-000240-0000-18fa078836c5ae16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "18fa078836c5ae16f225a50d84635cca38a207c6802513fe2198425392c3e75e"
+    },
+    {
+      "bytes": 42502,
+      "path": "data/internal_test/pef/deepseek-000240-0000-3c8d764415239da7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3c8d764415239da7e302286fe070c563c2b6cc0f289fd79104669995c8796598"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000241.json b/manifests/batches/deepseek/000241.json
index 44a5a4fa84b5fbdaa6b1874e19d43e7eb7460c55..8181bc45874fe2a03ead9548a386c87af6b9a63a 100644
--- a/manifests/batches/deepseek/000241.json
+++ b/manifests/batches/deepseek/000241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000241",
   "batch_fingerprint": "ef3f521f423e8f86154f07c5399f40de31cd64fe306968c3c51672806aa15113",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000241-0000-648d58fb16aa07bf.parquet",
-      "sha256": "648d58fb16aa07bfb811ecde0ca2c9390e5b8876cdbb501cf57086111b8880bc",
-      "bytes": 346790,
-      "rows": 94,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/dev/deepseek-000241-0000-de1b2b3f08a2b358.parquet",
-      "sha256": "de1b2b3f08a2b358fe840e9c13cf01e5bc8b8f4f37909911a614d32ac78f63c4",
-      "bytes": 35225,
-      "rows": 6,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/deepseek-000241-0000-c68282c575e016cd.parquet",
-      "sha256": "c68282c575e016cd5ff8aedd48e10da5ae67692e14a720a660b8ff892dc9f988",
-      "bytes": 61009,
-      "rows": 16,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12089",
     "deepseek:thm_12090",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012097.lean\",\"6ab86e383c00011932543546e9a1676d32f3c0b308e29dfd97264cd5eb9e752d\",0,\"thm_12136\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012098.lean\",\"aaf69048f7b79b02840333b5747ec5160e7d197780ba24b99a02473c61ff1d20\",0,\"thm_12137\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012099.lean\",\"5dd0b5de31a971d6c7329ff3c4e5cd8225b5c363dfe6c4c78207ece763100617\",0,\"thm_12138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346790,
+      "path": "data/train/p0c/deepseek-000241-0000-648d58fb16aa07bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "648d58fb16aa07bfb811ecde0ca2c9390e5b8876cdbb501cf57086111b8880bc"
+    },
+    {
+      "bytes": 35225,
+      "path": "data/dev/p0c/deepseek-000241-0000-de1b2b3f08a2b358.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "de1b2b3f08a2b358fe840e9c13cf01e5bc8b8f4f37909911a614d32ac78f63c4"
+    },
+    {
+      "bytes": 61009,
+      "path": "data/internal_test/p0c/deepseek-000241-0000-c68282c575e016cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c68282c575e016cd5ff8aedd48e10da5ae67692e14a720a660b8ff892dc9f988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000242.json b/manifests/batches/deepseek/000242.json
index dfb642c835c728a36dbd592dd7aaf984ef96b550..c39c273bd66ebd7983084da351434e48a31c0edb 100644
--- a/manifests/batches/deepseek/000242.json
+++ b/manifests/batches/deepseek/000242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000242",
   "batch_fingerprint": "2359f98b04422c93e64fe70ab28fa929d3289d9565fa1ce4cb5bb9a0f1c1ae56",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000242-0000-67d6f22884d60b42.parquet",
-      "sha256": "67d6f22884d60b42378c8005505e3fcdd4dbad2cbcea59bbaccf6a9d81f24d5a",
-      "bytes": 310276,
-      "rows": 98,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/dev/deepseek-000242-0000-6e03f01e861ee3be.parquet",
-      "sha256": "6e03f01e861ee3be4163c663e8768b7f0581e8c0e1be4a89c7d037d7b621390a",
-      "bytes": 39953,
-      "rows": 7,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000242-0000-9b1bfbaa38a6fc12.parquet",
-      "sha256": "9b1bfbaa38a6fc12b633584795514a054da4967585c51bc70d0dd779df5730a9",
-      "bytes": 64320,
-      "rows": 18,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12139",
     "deepseek:thm_12140",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012147.lean\",\"0831e52a7c1f8e3746169dd8825672d180dc1ca41b11361495bb8bf6a8414e7c\",0,\"thm_12186\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012148.lean\",\"1a4387a2db7948554fad1bbb17e69341989bf3be5ac7267f848c77d76dea2723\",0,\"thm_12187\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012149.lean\",\"147945c6d58e8733adc73debd5b116bc770a5fd72f51e527de7ba52febcbdf70\",0,\"thm_12188\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310276,
+      "path": "data/train/p3e/deepseek-000242-0000-67d6f22884d60b42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "67d6f22884d60b42378c8005505e3fcdd4dbad2cbcea59bbaccf6a9d81f24d5a"
+    },
+    {
+      "bytes": 39953,
+      "path": "data/dev/p3e/deepseek-000242-0000-6e03f01e861ee3be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6e03f01e861ee3be4163c663e8768b7f0581e8c0e1be4a89c7d037d7b621390a"
+    },
+    {
+      "bytes": 64320,
+      "path": "data/internal_test/p3e/deepseek-000242-0000-9b1bfbaa38a6fc12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9b1bfbaa38a6fc12b633584795514a054da4967585c51bc70d0dd779df5730a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000243.json b/manifests/batches/deepseek/000243.json
index ca295a33da42276785f1d3f8f94e1b36a3b2450a..afa3e250235b405fc26d6f3d02499f1b0bca9d5e 100644
--- a/manifests/batches/deepseek/000243.json
+++ b/manifests/batches/deepseek/000243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000243",
   "batch_fingerprint": "e642ca331bc707bc355bb574469200f17366fb35292fa8c5067e4f3a93da1377",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000243-0000-6e5852b018653b27.parquet",
-      "sha256": "6e5852b018653b27ffbb4f64b558817cf2f682c197e9b81bb26d1a636e1a1762",
-      "bytes": 324415,
-      "rows": 101,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/deepseek-000243-0000-68635ccd16a58610.parquet",
-      "sha256": "68635ccd16a5861099c3423337455ebc8a7a7ba38beedd3b70d61347c9e8354c",
-      "bytes": 41060,
-      "rows": 8,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/deepseek-000243-0000-20101704e2aa8c87.parquet",
-      "sha256": "20101704e2aa8c877fbcb4728105bac0953ddbe98b477b0539b8b1a3da3cfb4f",
-      "bytes": 56913,
-      "rows": 15,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12189",
     "deepseek:thm_12190",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012197.lean\",\"5a4aeb5f3743bb4e8520547b25551662649ff6f7f6208832e26425c22373e662\",0,\"thm_12236\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012198.lean\",\"d3110d0d37c8561da7889df3abecb44d092041e827c999e386d06200bf3290a4\",0,\"thm_12237\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012199.lean\",\"06b016f1214dc88f07a2c2fca7d01c74757f5ada08d2920d90a6b4c322efe52f\",0,\"thm_12238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324415,
+      "path": "data/train/p72/deepseek-000243-0000-6e5852b018653b27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "6e5852b018653b27ffbb4f64b558817cf2f682c197e9b81bb26d1a636e1a1762"
+    },
+    {
+      "bytes": 41060,
+      "path": "data/dev/p72/deepseek-000243-0000-68635ccd16a58610.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "68635ccd16a5861099c3423337455ebc8a7a7ba38beedd3b70d61347c9e8354c"
+    },
+    {
+      "bytes": 56913,
+      "path": "data/internal_test/p72/deepseek-000243-0000-20101704e2aa8c87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "20101704e2aa8c877fbcb4728105bac0953ddbe98b477b0539b8b1a3da3cfb4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000244.json b/manifests/batches/deepseek/000244.json
index 84d8e7af36132041bef936c20bcdbc9258187932..a6fba7e17695a0cfec9827f4d9c38c710ddb5436 100644
--- a/manifests/batches/deepseek/000244.json
+++ b/manifests/batches/deepseek/000244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000244",
   "batch_fingerprint": "9977e97386623b9d1f179b87eeb72880f3ebb0abf40411c0e577063b0f28a57d",
   "evidence": {
@@ -75,29 +74,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000244-0000-76d9d6708b912c47.parquet",
-      "sha256": "76d9d6708b912c472e937f770a3d199745b31e7f8d1d982710486c84173083ee",
-      "bytes": 309502,
-      "rows": 105,
-      "revision": "b0817ed79281270649e9d7ddbae94a6a995bb8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000244-0000-79290e60bde4bf0c.parquet",
-      "sha256": "79290e60bde4bf0c89a38653dbda7fa0becf66df2614f4a9c7b52e204367e0fd",
-      "bytes": 42710,
-      "rows": 2,
-      "revision": "b0817ed79281270649e9d7ddbae94a6a995bb8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000244-0000-88c4d5421484769d.parquet",
-      "sha256": "88c4d5421484769dbd2bc33dc6d68bc89cf5b67ecaf1ab0fe7817b5e387d1221",
-      "bytes": 58565,
-      "rows": 13,
-      "revision": "b0817ed79281270649e9d7ddbae94a6a995bb8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12239",
     "deepseek:thm_12240",
@@ -195,5 +172,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012247.lean\",\"caed754b2336e44df80a97d80ee330b21cac82ecf8cc41ea1a44f8c743d66ec6\",0,\"thm_12286\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012248.lean\",\"0a0a19bc3cf3f2a0be248e73583775cef6c84d7ac1bbc21741cc8f651c8fc702\",0,\"thm_12287\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012249.lean\",\"9bb2500f2bec5a7bda3aa3527788d49e786a6268290b12b87f880354e7da84b4\",0,\"thm_12288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309502,
+      "path": "data/train/p9e/deepseek-000244-0000-76d9d6708b912c47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "76d9d6708b912c472e937f770a3d199745b31e7f8d1d982710486c84173083ee"
+    },
+    {
+      "bytes": 42710,
+      "path": "data/dev/p9e/deepseek-000244-0000-79290e60bde4bf0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "79290e60bde4bf0c89a38653dbda7fa0becf66df2614f4a9c7b52e204367e0fd"
+    },
+    {
+      "bytes": 58565,
+      "path": "data/internal_test/p9e/deepseek-000244-0000-88c4d5421484769d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "88c4d5421484769dbd2bc33dc6d68bc89cf5b67ecaf1ab0fe7817b5e387d1221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000245.json b/manifests/batches/deepseek/000245.json
index fcae175fcd7ad41b458eb55d29a567f2aea7fa22..20bd9e2e916763eeb88fe9b7340b5eae8f3e26ae 100644
--- a/manifests/batches/deepseek/000245.json
+++ b/manifests/batches/deepseek/000245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000245",
   "batch_fingerprint": "4c21155783a58f6ae6d55ead385b82d733fba617845640aced06b6b889c646cc",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000245-0000-045bd8b8d9f17b17.parquet",
-      "sha256": "045bd8b8d9f17b17bf1dc45fd73e8b251738b8e55f74c6bbe591f75490eddaea",
-      "bytes": 295911,
-      "rows": 93,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/dev/deepseek-000245-0000-c02bd77c3bef1095.parquet",
-      "sha256": "c02bd77c3bef109516e5814b49703d13064f025987d5f67ba40a94fca471c503",
-      "bytes": 45994,
-      "rows": 7,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000245-0000-d9a0f18abb37e597.parquet",
-      "sha256": "d9a0f18abb37e597e5f68467fb8a2106434bce2ba71680e11fc753f954984a83",
-      "bytes": 54706,
-      "rows": 14,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12289",
     "deepseek:thm_12290",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012297.lean\",\"285e012ad040ba8235620d2af91d325459cf5ad40c6b4c7c73eedfc209182c0a\",0,\"thm_12336\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012298.lean\",\"523f25e733cab130471e58dedcb64e3c6846721aec4ec9d5d4b80319cba96ea7\",0,\"thm_12337\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012299.lean\",\"9a4636cdbf02dcac74729ecfd22c13d7ce44b2bdd86417c942c3ba3481961fe0\",0,\"thm_12338\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295911,
+      "path": "data/train/p87/deepseek-000245-0000-045bd8b8d9f17b17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "045bd8b8d9f17b17bf1dc45fd73e8b251738b8e55f74c6bbe591f75490eddaea"
+    },
+    {
+      "bytes": 45994,
+      "path": "data/dev/p87/deepseek-000245-0000-c02bd77c3bef1095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c02bd77c3bef109516e5814b49703d13064f025987d5f67ba40a94fca471c503"
+    },
+    {
+      "bytes": 54706,
+      "path": "data/internal_test/p87/deepseek-000245-0000-d9a0f18abb37e597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d9a0f18abb37e597e5f68467fb8a2106434bce2ba71680e11fc753f954984a83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000246.json b/manifests/batches/deepseek/000246.json
index f6138bd2905cc79000fdcd67b5e956a8f6567599..878b42c43201f5a9f5830028d31318543de50084 100644
--- a/manifests/batches/deepseek/000246.json
+++ b/manifests/batches/deepseek/000246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000246",
   "batch_fingerprint": "46edbb569d842e28db253272bf7aeac93bad3fefc92e7b7bab516adf8539c4d8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000246-0000-6fd93498923af9bf.parquet",
-      "sha256": "6fd93498923af9bff7430ff6797a55bb88d1535fc8d7af7f04cc86cee2e622d3",
-      "bytes": 423509,
-      "rows": 128,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/deepseek-000246-0000-a239daef988b8af9.parquet",
-      "sha256": "a239daef988b8af99eeb1f3ed1841463dc5a3f762a0be78519f9c1f75f9210d6",
-      "bytes": 25705,
-      "rows": 1,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/deepseek-000246-0000-92a3a1579b1fcea0.parquet",
-      "sha256": "92a3a1579b1fcea0c22477c9f8bda6a03604a0b9c77af8195e9e7eeade0f8dc3",
-      "bytes": 35654,
-      "rows": 6,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12339",
     "deepseek:thm_12340",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012347.lean\",\"62f8a8b1401399925fb056cff2a4dd4b65ec0903bac4821131bcfc1499b2849f\",0,\"thm_12386\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012348.lean\",\"eb848693ea6c70cb3b190cca7384632ba017759f68fb5e3298b2e7f8a4c43122\",0,\"thm_12387\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012349.lean\",\"938a0fef2e3b174f6fefd7d1ce3995278e15f511815bab13bf7aa8ad453a8a5d\",0,\"thm_12388\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423509,
+      "path": "data/train/pbb/deepseek-000246-0000-6fd93498923af9bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 128,
+      "sha256": "6fd93498923af9bff7430ff6797a55bb88d1535fc8d7af7f04cc86cee2e622d3"
+    },
+    {
+      "bytes": 25705,
+      "path": "data/dev/pbb/deepseek-000246-0000-a239daef988b8af9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a239daef988b8af99eeb1f3ed1841463dc5a3f762a0be78519f9c1f75f9210d6"
+    },
+    {
+      "bytes": 35654,
+      "path": "data/internal_test/pbb/deepseek-000246-0000-92a3a1579b1fcea0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "92a3a1579b1fcea0c22477c9f8bda6a03604a0b9c77af8195e9e7eeade0f8dc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000247.json b/manifests/batches/deepseek/000247.json
index c8a8aef30900e98581c402e33176b824c62e945d..046972c95c875db2e40c1ce875d67b38b3141f65 100644
--- a/manifests/batches/deepseek/000247.json
+++ b/manifests/batches/deepseek/000247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000247",
   "batch_fingerprint": "a76ed4ca7b27b753127c4c85ffe0a6c892320a57cb21612dc13056b00eca687d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000247-0000-757c00fa8f4e5f5c.parquet",
-      "sha256": "757c00fa8f4e5f5c51217ebeab9464a1208b87d879a4234f5b0efa45f49224cb",
-      "bytes": 314108,
-      "rows": 85,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/deepseek-000247-0000-acb2db2b1460601b.parquet",
-      "sha256": "acb2db2b1460601bf4645773cfb8a5e398391c55ce34092e57d4ac81fd948023",
-      "bytes": 46549,
-      "rows": 10,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/deepseek-000247-0000-cdfffd211e5b0371.parquet",
-      "sha256": "cdfffd211e5b03710e94ed02e8ff2693e7c2f40b3897032ba147665000e91142",
-      "bytes": 51436,
-      "rows": 11,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12389",
     "deepseek:thm_12390",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012397.lean\",\"f9f4766205608db12c09285ea3a0ee7ba277625222f83c1570f951ad7b900444\",0,\"thm_12436\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012398.lean\",\"b5f520558dbc7b719043e0a2b6eee79308bae9ee894fecc9ef3fdc2f2864e994\",0,\"thm_12437\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012399.lean\",\"6ae18c8d81625c45abde0b5c3a6f311e999d7b7f54bc11b8253f6e86becf4e81\",0,\"thm_12438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314108,
+      "path": "data/train/p8e/deepseek-000247-0000-757c00fa8f4e5f5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "757c00fa8f4e5f5c51217ebeab9464a1208b87d879a4234f5b0efa45f49224cb"
+    },
+    {
+      "bytes": 46549,
+      "path": "data/dev/p8e/deepseek-000247-0000-acb2db2b1460601b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "acb2db2b1460601bf4645773cfb8a5e398391c55ce34092e57d4ac81fd948023"
+    },
+    {
+      "bytes": 51436,
+      "path": "data/internal_test/p8e/deepseek-000247-0000-cdfffd211e5b0371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cdfffd211e5b03710e94ed02e8ff2693e7c2f40b3897032ba147665000e91142"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000248.json b/manifests/batches/deepseek/000248.json
index 0824f25cebaaf17105204c8d2f5fd6089fa5f21e..78a9805dcdbe55ae92aec05858f902b32102f44e 100644
--- a/manifests/batches/deepseek/000248.json
+++ b/manifests/batches/deepseek/000248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000248",
   "batch_fingerprint": "bcc05acd26dceaaa5f217bcd5a7f405d0e405b8d806df868717822b225eae08c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000248-0000-8516582123505e7d.parquet",
-      "sha256": "8516582123505e7db3e37454e9bad361bc7f04860eacfbb2a0f7342ca2659902",
-      "bytes": 371151,
-      "rows": 107,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/deepseek-000248-0000-934462459257c627.parquet",
-      "sha256": "934462459257c627b19eb28707227bba0b39b008caff67d460a604042bec476d",
-      "bytes": 44281,
-      "rows": 7,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/deepseek-000248-0000-6d0aa143f50de595.parquet",
-      "sha256": "6d0aa143f50de59550590abeef2e04d24723ff907465b7164408f305ec1db7f5",
-      "bytes": 53512,
-      "rows": 9,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12439",
     "deepseek:thm_12440",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012447.lean\",\"dc71dabdcf85c7c30c2f433301f38b0e668f7f1d8e5e4d4603a7d96d08084f9d\",0,\"thm_12486\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012448.lean\",\"257c0619b467d039935b0b51192f2a7341a8778e43caef388320853e86549ed2\",0,\"thm_12487\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012449.lean\",\"356499b4028df942b84aecfd81b71610b483209f1f072d9bc834d4fcaf783c1b\",0,\"thm_12488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371151,
+      "path": "data/train/pcc/deepseek-000248-0000-8516582123505e7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "8516582123505e7db3e37454e9bad361bc7f04860eacfbb2a0f7342ca2659902"
+    },
+    {
+      "bytes": 44281,
+      "path": "data/dev/pcc/deepseek-000248-0000-934462459257c627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "934462459257c627b19eb28707227bba0b39b008caff67d460a604042bec476d"
+    },
+    {
+      "bytes": 53512,
+      "path": "data/internal_test/pcc/deepseek-000248-0000-6d0aa143f50de595.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6d0aa143f50de59550590abeef2e04d24723ff907465b7164408f305ec1db7f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000249.json b/manifests/batches/deepseek/000249.json
index b8f951624d7e2ca095571b5a32c5bca77afb3e39..dc78a38c01987e9255d0457d1eb5bd748ee68a94 100644
--- a/manifests/batches/deepseek/000249.json
+++ b/manifests/batches/deepseek/000249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000249",
   "batch_fingerprint": "cc8a1309d7471cea3cb2a60db63ddbe6dc4b14a150e80eddc86a77f54c444393",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000249-0000-6cd71304ebd159db.parquet",
-      "sha256": "6cd71304ebd159dbae18c99c8d6cf7063a02addebf5816e14dd95c6ca8484982",
-      "bytes": 347755,
-      "rows": 110,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/deepseek-000249-0000-64518c5e71775637.parquet",
-      "sha256": "64518c5e7177563766e6885287e6afbc242267f7ad1f8b0298e4e2863cb89326",
-      "bytes": 39630,
-      "rows": 5,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/deepseek-000249-0000-4fcbbde680b3017c.parquet",
-      "sha256": "4fcbbde680b3017ce378e651342f03446e3a0fba99ee22ca92c129307938476c",
-      "bytes": 59206,
-      "rows": 8,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12489",
     "deepseek:thm_12490",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012497.lean\",\"138bfaae5d37c9011c202e4d743c2eaee29d6685803786bdacd31f2c449e7a16\",0,\"thm_12536\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012498.lean\",\"f46c10b69ea7ab47a941998d83745a0472361a6ff29d6217b8d2655ecb0823b6\",0,\"thm_12537\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012499.lean\",\"e63175b8241151d279aab76dfdd60e17b02d63d1f589f5acecfb00bc488e819f\",0,\"thm_12538\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347755,
+      "path": "data/train/p22/deepseek-000249-0000-6cd71304ebd159db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "6cd71304ebd159dbae18c99c8d6cf7063a02addebf5816e14dd95c6ca8484982"
+    },
+    {
+      "bytes": 39630,
+      "path": "data/dev/p22/deepseek-000249-0000-64518c5e71775637.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "64518c5e7177563766e6885287e6afbc242267f7ad1f8b0298e4e2863cb89326"
+    },
+    {
+      "bytes": 59206,
+      "path": "data/internal_test/p22/deepseek-000249-0000-4fcbbde680b3017c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4fcbbde680b3017ce378e651342f03446e3a0fba99ee22ca92c129307938476c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000250.json b/manifests/batches/deepseek/000250.json
index 38022ad17bf64352d49f176c377a05635206dbc0..7eadcde9f848815814ab5d5d2d11b862dac4f9c0 100644
--- a/manifests/batches/deepseek/000250.json
+++ b/manifests/batches/deepseek/000250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000250",
   "batch_fingerprint": "7e353274d5e289de18e656ea739ad660b279edfe0c4e53f6a99a6990d067a76e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000250-0000-a6d29b5ead34d0de.parquet",
-      "sha256": "a6d29b5ead34d0de567e3dc7999ba9ec1be73849b7b78c679a478d2df562d3b7",
-      "bytes": 343532,
-      "rows": 102,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/deepseek-000250-0000-b105f7f1eb6f722b.parquet",
-      "sha256": "b105f7f1eb6f722b9c6b4f70d88b53aaa8f1d83fbf09da1dc428def2fc6847c8",
-      "bytes": 68889,
-      "rows": 13,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000250-0000-d356e44b8a71e06c.parquet",
-      "sha256": "d356e44b8a71e06c4afdef876780ae0d3889e9ee6c113de67af47f1cd854da2c",
-      "bytes": 47957,
-      "rows": 7,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12539",
     "deepseek:thm_12540",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012547.lean\",\"b9aceef72a0949062783dc91c06c94fe12da66ba50c11cce3c034709db769622\",0,\"thm_12586\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012548.lean\",\"a679d44c0c181b41bf8f02e6db405394f352a0402bc278a385cb348882161fc5\",0,\"thm_12587\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012549.lean\",\"fb9339d5eaf13f45619793677349e7affacd3e52fc5d22b493880e0c794bca80\",0,\"thm_12588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343532,
+      "path": "data/train/p39/deepseek-000250-0000-a6d29b5ead34d0de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "a6d29b5ead34d0de567e3dc7999ba9ec1be73849b7b78c679a478d2df562d3b7"
+    },
+    {
+      "bytes": 68889,
+      "path": "data/dev/p39/deepseek-000250-0000-b105f7f1eb6f722b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b105f7f1eb6f722b9c6b4f70d88b53aaa8f1d83fbf09da1dc428def2fc6847c8"
+    },
+    {
+      "bytes": 47957,
+      "path": "data/internal_test/p39/deepseek-000250-0000-d356e44b8a71e06c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d356e44b8a71e06c4afdef876780ae0d3889e9ee6c113de67af47f1cd854da2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000251.json b/manifests/batches/deepseek/000251.json
index 9155a7874e0814ac03b6068f73085dc0c0ab9ff9..83e5649e5ecb3bf9f7f0c17f173d63f01c770c2e 100644
--- a/manifests/batches/deepseek/000251.json
+++ b/manifests/batches/deepseek/000251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000251",
   "batch_fingerprint": "15602fede826187bfc402eb35b24365dd65912b6a215392c7a05f354a8c4b049",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000251-0000-0e936becce6e682c.parquet",
-      "sha256": "0e936becce6e682c33def32256b89f893cd3f3e0976b7762b1cd81ab86dfa904",
-      "bytes": 339711,
-      "rows": 104,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000251-0000-3423602a3095a44e.parquet",
-      "sha256": "3423602a3095a44e59dcd7046edda990cfedd5be1313dea63b4593d963cfac0b",
-      "bytes": 38834,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000251-0000-20fe904daa635044.parquet",
-      "sha256": "20fe904daa635044a39b0dd963016168daf209632781819a6aae0eebb7c24006",
-      "bytes": 56000,
-      "rows": 11,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12589",
     "deepseek:thm_12590",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012597.lean\",\"79bf0f1b99fcdacd64b72188203bde7ff2c28eb054437431a6e4fbb0a3e6ccb1\",0,\"thm_12636\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012598.lean\",\"e0c9a19f74c3a7233b4d2805a56dccae2d6559f538b9603d1fcb6db369a38e42\",0,\"thm_12637\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012599.lean\",\"9d3245380584c6c602e24b6543cd532be71f4b56e5c212473c42c949911c8c59\",0,\"thm_12638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339711,
+      "path": "data/train/p8e/deepseek-000251-0000-0e936becce6e682c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "0e936becce6e682c33def32256b89f893cd3f3e0976b7762b1cd81ab86dfa904"
+    },
+    {
+      "bytes": 38834,
+      "path": "data/dev/p8e/deepseek-000251-0000-3423602a3095a44e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3423602a3095a44e59dcd7046edda990cfedd5be1313dea63b4593d963cfac0b"
+    },
+    {
+      "bytes": 56000,
+      "path": "data/internal_test/p8e/deepseek-000251-0000-20fe904daa635044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "20fe904daa635044a39b0dd963016168daf209632781819a6aae0eebb7c24006"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000252.json b/manifests/batches/deepseek/000252.json
index c5fc1a75245e048fa8ac74227eadb66f841fe58b..3a263e3aeae5a842da83f167663be06b2dc24de2 100644
--- a/manifests/batches/deepseek/000252.json
+++ b/manifests/batches/deepseek/000252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000252",
   "batch_fingerprint": "0cdb1434515e9493e46d495ea1522ccdc42b8c074f4a0224b86bdbb8eb7127cf",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000252-0000-c051d2b4c9a1a27e.parquet",
-      "sha256": "c051d2b4c9a1a27e78036cf1bbd72d925e9b8d41ea9334ae710fc9d61004a888",
-      "bytes": 309267,
-      "rows": 98,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000252-0000-c2429ad77395faab.parquet",
-      "sha256": "c2429ad77395faab9dd2bc192ae8bfcec77efce3fd9f0551fef97d1103b5311a",
-      "bytes": 53748,
-      "rows": 7,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000252-0000-8ba3ea0ff96ed863.parquet",
-      "sha256": "8ba3ea0ff96ed8631f245c0dd0cb03aebc3bc15ffa6951bc6a465717fa777166",
-      "bytes": 59482,
-      "rows": 18,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12639",
     "deepseek:thm_12640",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012647.lean\",\"9f8a1625a0edcee92272d6e9cf2184ad33aaae0ae3d3f2e555228737cc30ec96\",0,\"thm_12686\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012648.lean\",\"e6169058a23101283e4c2dc363b751928d69be37b64d7f80c896c4eae76f3b6c\",0,\"thm_12687\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012649.lean\",\"40cee6aab663708f0b1cad4d010bd6ab6c1dd1f418288aeb47820259b54b4e03\",0,\"thm_12688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309267,
+      "path": "data/train/p26/deepseek-000252-0000-c051d2b4c9a1a27e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "c051d2b4c9a1a27e78036cf1bbd72d925e9b8d41ea9334ae710fc9d61004a888"
+    },
+    {
+      "bytes": 53748,
+      "path": "data/dev/p26/deepseek-000252-0000-c2429ad77395faab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c2429ad77395faab9dd2bc192ae8bfcec77efce3fd9f0551fef97d1103b5311a"
+    },
+    {
+      "bytes": 59482,
+      "path": "data/internal_test/p26/deepseek-000252-0000-8ba3ea0ff96ed863.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8ba3ea0ff96ed8631f245c0dd0cb03aebc3bc15ffa6951bc6a465717fa777166"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000253.json b/manifests/batches/deepseek/000253.json
index 64855bb8b203325e5f6a030600e7e2ebad613cb9..3d66a6f2f42488f4c63b3ef9b7eeb735bd823c01 100644
--- a/manifests/batches/deepseek/000253.json
+++ b/manifests/batches/deepseek/000253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000253",
   "batch_fingerprint": "6c663ed5fda2b704da3c850348460ce5aae435621c992845de2013db090703e3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000253-0000-3d60370f0a32877b.parquet",
-      "sha256": "3d60370f0a32877b79dabb3d8fb436bf9371e7f5c72b9a37715d39d3a91a2b73",
-      "bytes": 417955,
-      "rows": 99,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000253-0000-a0de7384cb109a6c.parquet",
-      "sha256": "a0de7384cb109a6c3bf59baa191411af00fd0203c06d726e7a74de554a5534a8",
-      "bytes": 60127,
-      "rows": 11,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000253-0000-fb5fa6e4cb867116.parquet",
-      "sha256": "fb5fa6e4cb867116530002bcc9f1c5351b52a5018dec9771d2c8da02fdf8f102",
-      "bytes": 40007,
-      "rows": 2,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12689",
     "deepseek:thm_12690",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012697.lean\",\"ec88fa2099bd2b9088243eedc1747737a2d199e6aa6082f160bea721957de19c\",0,\"thm_12736\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012698.lean\",\"a2a832ccfa7b2c97bd7450d7ccf907262e5f5da8af19d896abfe0d0c6b128784\",0,\"thm_12737\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012699.lean\",\"68f6041c9aa465be073f9dbdf8577f0cde7aa34cfcbe1b710b73c1960a345b6c\",0,\"thm_12738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417955,
+      "path": "data/train/pd6/deepseek-000253-0000-3d60370f0a32877b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "3d60370f0a32877b79dabb3d8fb436bf9371e7f5c72b9a37715d39d3a91a2b73"
+    },
+    {
+      "bytes": 60127,
+      "path": "data/dev/pd6/deepseek-000253-0000-a0de7384cb109a6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a0de7384cb109a6c3bf59baa191411af00fd0203c06d726e7a74de554a5534a8"
+    },
+    {
+      "bytes": 40007,
+      "path": "data/internal_test/pd6/deepseek-000253-0000-fb5fa6e4cb867116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fb5fa6e4cb867116530002bcc9f1c5351b52a5018dec9771d2c8da02fdf8f102"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000254.json b/manifests/batches/deepseek/000254.json
index a05a7287abd8a400e8118e37bae3ef7dc645c16c..e7794cb2a71f4c3f0ee640a4b3c6d51fa7b07083 100644
--- a/manifests/batches/deepseek/000254.json
+++ b/manifests/batches/deepseek/000254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000254",
   "batch_fingerprint": "12d0076c6b4e8bcb233349c55ec8ababb58bc0d998a52fdb4fc1678d0962f7af",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000254-0000-05bbcf4bd5fbf6f0.parquet",
-      "sha256": "05bbcf4bd5fbf6f080379bc16cf55a30c8986503fe6a3a647a415993cef1e8f9",
-      "bytes": 292116,
-      "rows": 96,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/deepseek-000254-0000-a194ea6e33f88c16.parquet",
-      "sha256": "a194ea6e33f88c1674f77ec333d088431889db703bd5f335af677cb221fb178f",
-      "bytes": 49926,
-      "rows": 7,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000254-0000-f745c3c1d17965e1.parquet",
-      "sha256": "f745c3c1d17965e1cc3b84b0a4efd63049ab07b8395f8c41f448677a95e13dee",
-      "bytes": 39156,
-      "rows": 7,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12739",
     "deepseek:thm_12740",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012747.lean\",\"fa019407997380aae22de2490d51710787a9014f1b2e6802b6a94c68bf14b548\",0,\"thm_12786\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012748.lean\",\"f2ec5e24fef94d42c7794c24eccc6627db9832e01fee9f0f0636bcbd7f1b6645\",0,\"thm_12787\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012749.lean\",\"157c2b1f18982c79c05dba9c68b46c407c6fdc7e06446501c7b06c75aba9df2e\",0,\"thm_12788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292116,
+      "path": "data/train/pb2/deepseek-000254-0000-05bbcf4bd5fbf6f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "05bbcf4bd5fbf6f080379bc16cf55a30c8986503fe6a3a647a415993cef1e8f9"
+    },
+    {
+      "bytes": 49926,
+      "path": "data/dev/pb2/deepseek-000254-0000-a194ea6e33f88c16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a194ea6e33f88c1674f77ec333d088431889db703bd5f335af677cb221fb178f"
+    },
+    {
+      "bytes": 39156,
+      "path": "data/internal_test/pb2/deepseek-000254-0000-f745c3c1d17965e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f745c3c1d17965e1cc3b84b0a4efd63049ab07b8395f8c41f448677a95e13dee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000255.json b/manifests/batches/deepseek/000255.json
index 0cf7df6c3778ee742f04a5162fd68562f411f2c4..8254a51f7f013d369dc50daf1fb5710319f47ea3 100644
--- a/manifests/batches/deepseek/000255.json
+++ b/manifests/batches/deepseek/000255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000255",
   "batch_fingerprint": "04be59380712e16895901aa97c908301d4eaaa7f8374b0b3e811e78b399e8c4f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000255-0000-62be4bedf1206c11.parquet",
-      "sha256": "62be4bedf1206c1121a1c6ce31272b764f3820e9f00f3b52295bb9b35e603412",
-      "bytes": 362367,
-      "rows": 113,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000255-0000-11a3903f785055df.parquet",
-      "sha256": "11a3903f785055df39f9e9e8bb36422dfbb2a8389605a5148598b3404d8f29f9",
-      "bytes": 49467,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000255-0000-fb2888f2afdcaca3.parquet",
-      "sha256": "fb2888f2afdcaca36790be6b1835da6fb9f822204e70e385811d0d121ca18d5f",
-      "bytes": 47067,
-      "rows": 8,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12789",
     "deepseek:thm_12790",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012797.lean\",\"47ac00662b24f4bf1eaa962e95c1211165ab0dcffde32fc53d55e76a961ab7cb\",0,\"thm_12836\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012798.lean\",\"325abc5b061507517b183c5fc2c9f76ab9db23f1c760426955b2642ad35d117f\",0,\"thm_12837\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012799.lean\",\"dd314d578b97f0a35a784aa3a1ebe0591c2bc6a01264a01be69a2f2f990f970c\",0,\"thm_12838\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362367,
+      "path": "data/train/p64/deepseek-000255-0000-62be4bedf1206c11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "62be4bedf1206c1121a1c6ce31272b764f3820e9f00f3b52295bb9b35e603412"
+    },
+    {
+      "bytes": 49467,
+      "path": "data/dev/p64/deepseek-000255-0000-11a3903f785055df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "11a3903f785055df39f9e9e8bb36422dfbb2a8389605a5148598b3404d8f29f9"
+    },
+    {
+      "bytes": 47067,
+      "path": "data/internal_test/p64/deepseek-000255-0000-fb2888f2afdcaca3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fb2888f2afdcaca36790be6b1835da6fb9f822204e70e385811d0d121ca18d5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000256.json b/manifests/batches/deepseek/000256.json
index cc5077ce80e07c0340548f46f9993904df88152c..4a22e259107e1bad0f550ea2191e1cd793bb1250 100644
--- a/manifests/batches/deepseek/000256.json
+++ b/manifests/batches/deepseek/000256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000256",
   "batch_fingerprint": "142c634f4d7899508d88a348b28029673d2c704bcfbe11b753d41b84999167a5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000256-0000-8bcb21e89a4cb2b4.parquet",
-      "sha256": "8bcb21e89a4cb2b43095f94da0682783489b44f98013de5a9a511fd6f2265914",
-      "bytes": 360000,
-      "rows": 111,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000256-0000-67f1b6a837d73d95.parquet",
-      "sha256": "67f1b6a837d73d9562c3bb02895dd691b6a66fbda922b2698b5dda447ef94c19",
-      "bytes": 60326,
-      "rows": 5,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000256-0000-bb7457867f77d958.parquet",
-      "sha256": "bb7457867f77d958084cf26f753711d53c0c567c4885b931eda899224248298b",
-      "bytes": 59004,
-      "rows": 12,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12839",
     "deepseek:thm_12840",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012847.lean\",\"b6bd48c2877f4c1e52c6a9f08e2275fafe2eb3f253b0d13a8831799cde84061f\",0,\"thm_12886\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012848.lean\",\"77cd92f8dbeaf606931b6b8097ed6f7786dc880319fbe68d581017a6eec09858\",0,\"thm_12887\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012849.lean\",\"9596d89f0873bd57183cb7a33b6e7189b313374cfaf2f44dfe9179da30722a4e\",0,\"thm_12888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360000,
+      "path": "data/train/pac/deepseek-000256-0000-8bcb21e89a4cb2b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "8bcb21e89a4cb2b43095f94da0682783489b44f98013de5a9a511fd6f2265914"
+    },
+    {
+      "bytes": 60326,
+      "path": "data/dev/pac/deepseek-000256-0000-67f1b6a837d73d95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "67f1b6a837d73d9562c3bb02895dd691b6a66fbda922b2698b5dda447ef94c19"
+    },
+    {
+      "bytes": 59004,
+      "path": "data/internal_test/pac/deepseek-000256-0000-bb7457867f77d958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bb7457867f77d958084cf26f753711d53c0c567c4885b931eda899224248298b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000257.json b/manifests/batches/deepseek/000257.json
index d3b7af54026c3e800660e107a2922749bd392d0c..d8316bc633336e25aecc54019ac7196475572faa 100644
--- a/manifests/batches/deepseek/000257.json
+++ b/manifests/batches/deepseek/000257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000257",
   "batch_fingerprint": "7f2be5d0ddb9a23d2b50da97821a5cf004777d7b137517682459cec0428acf11",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000257-0000-5aab4496e50351eb.parquet",
-      "sha256": "5aab4496e50351ebbda229b7339b735675a665085cdd08fc63212033f1f25c07",
-      "bytes": 289466,
-      "rows": 92,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/deepseek-000257-0000-399edca4802b2687.parquet",
-      "sha256": "399edca4802b26874e6150db1a67599dfda033ee8d11accc1c408e871dc2f852",
-      "bytes": 37469,
-      "rows": 5,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/deepseek-000257-0000-34ec99e54da14859.parquet",
-      "sha256": "34ec99e54da148599c8123c86dc04a5b8ccead2c9f97f0edbfea341f575a9f7f",
-      "bytes": 64817,
-      "rows": 20,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12889",
     "deepseek:thm_12890",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012897.lean\",\"101f59baabb910d619ae240bb149acb4c4566c9e3c516bcfd01ad019cfb980ec\",0,\"thm_12936\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012898.lean\",\"c8a6e3c85ee4523eec0e21ea95aa88df70853084df983ef5e4826fc342dd7712\",0,\"thm_12937\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012899.lean\",\"f6070a556823abcfddb06c0bc8e458efc774e7c82559cd4fb81017830d7649a0\",0,\"thm_12938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289466,
+      "path": "data/train/p2d/deepseek-000257-0000-5aab4496e50351eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "5aab4496e50351ebbda229b7339b735675a665085cdd08fc63212033f1f25c07"
+    },
+    {
+      "bytes": 37469,
+      "path": "data/dev/p2d/deepseek-000257-0000-399edca4802b2687.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "399edca4802b26874e6150db1a67599dfda033ee8d11accc1c408e871dc2f852"
+    },
+    {
+      "bytes": 64817,
+      "path": "data/internal_test/p2d/deepseek-000257-0000-34ec99e54da14859.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "34ec99e54da148599c8123c86dc04a5b8ccead2c9f97f0edbfea341f575a9f7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000258.json b/manifests/batches/deepseek/000258.json
index 1d3b8ecde24e230729cdc85a601b04e70a97bab9..acadb871ddd45bc1fb353c34190323a168474867 100644
--- a/manifests/batches/deepseek/000258.json
+++ b/manifests/batches/deepseek/000258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000258",
   "batch_fingerprint": "c1a727326de32ef773de6df567247f9b0b1d7fc69a0eb41bc3d9bc13338ba1cb",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000258-0000-041fe1db1b790633.parquet",
-      "sha256": "041fe1db1b790633794e53d001c7521ef7182ec145f5e00bf1dd81d61ec3f9f7",
-      "bytes": 323630,
-      "rows": 100,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/deepseek-000258-0000-b192e725b691da28.parquet",
-      "sha256": "b192e725b691da289b4db8cbb39c8a755d8a54a50e643ff4196d150c71f95734",
-      "bytes": 43957,
-      "rows": 7,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/deepseek-000258-0000-1e4997b8995fadb3.parquet",
-      "sha256": "1e4997b8995fadb3adae8e42d5b60185707ee394df941728e911b7b44cdab873",
-      "bytes": 39088,
-      "rows": 4,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12939",
     "deepseek:thm_12940",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012947.lean\",\"e5af005244044309d817c06a723d481105990eade73f4b6b2790dc4c7384d3b3\",0,\"thm_12986\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012948.lean\",\"f95ca97dff7e609a0d88bf59ee497b75ebf4f62a0624b62684762cfc999630cb\",0,\"thm_12987\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012949.lean\",\"19b15f5a1c3958013b9a704b4afcabbcc30abce4d35080e7515a25bc8f7654df\",0,\"thm_12988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323630,
+      "path": "data/train/p92/deepseek-000258-0000-041fe1db1b790633.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "041fe1db1b790633794e53d001c7521ef7182ec145f5e00bf1dd81d61ec3f9f7"
+    },
+    {
+      "bytes": 43957,
+      "path": "data/dev/p92/deepseek-000258-0000-b192e725b691da28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b192e725b691da289b4db8cbb39c8a755d8a54a50e643ff4196d150c71f95734"
+    },
+    {
+      "bytes": 39088,
+      "path": "data/internal_test/p92/deepseek-000258-0000-1e4997b8995fadb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1e4997b8995fadb3adae8e42d5b60185707ee394df941728e911b7b44cdab873"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000259.json b/manifests/batches/deepseek/000259.json
index 3cc64ee22d8be0f53a90f7655c88ccb01ea9b0f1..94a6f32ea944d6ec168eb6610f8d31259a6ffea9 100644
--- a/manifests/batches/deepseek/000259.json
+++ b/manifests/batches/deepseek/000259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000259",
   "batch_fingerprint": "eb7b5b145074491bf133f682ab81c6277fc2ec815608182496fe002a9f0a155e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000259-0000-25b940df7be57e27.parquet",
-      "sha256": "25b940df7be57e27e78f0c0782f6ddef4ae6c7362d2f71885e5803c686514b41",
-      "bytes": 365424,
-      "rows": 108,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/deepseek-000259-0000-e2ca7f160af87f63.parquet",
-      "sha256": "e2ca7f160af87f63273f3925755e1877172367b41f93bcf583f9e587d9cd96f1",
-      "bytes": 40370,
-      "rows": 4,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/deepseek-000259-0000-bd3447fc82243eab.parquet",
-      "sha256": "bd3447fc82243eab7083cd1ab34449e801c3dfa38c6fd91c24d2839edd599cda",
-      "bytes": 70767,
-      "rows": 18,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_12989",
     "deepseek:thm_12990",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012997.lean\",\"b51a6e2316c6f2dc333a9898d9f402d30bec771edc76f97c11e614b2e9a1de84\",0,\"thm_13037\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012998.lean\",\"20b0bca2854f3939452770eabfabf445ade11728cd6a52ed484d6c47f43b45ee\",0,\"thm_13038\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_012999.lean\",\"30600f22d252c3d71bc07d8f1c645a9ce6ca2c32458a184a7e9de5056ee8065b\",0,\"thm_13039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365424,
+      "path": "data/train/pfc/deepseek-000259-0000-25b940df7be57e27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "25b940df7be57e27e78f0c0782f6ddef4ae6c7362d2f71885e5803c686514b41"
+    },
+    {
+      "bytes": 40370,
+      "path": "data/dev/pfc/deepseek-000259-0000-e2ca7f160af87f63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e2ca7f160af87f63273f3925755e1877172367b41f93bcf583f9e587d9cd96f1"
+    },
+    {
+      "bytes": 70767,
+      "path": "data/internal_test/pfc/deepseek-000259-0000-bd3447fc82243eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "bd3447fc82243eab7083cd1ab34449e801c3dfa38c6fd91c24d2839edd599cda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000260.json b/manifests/batches/deepseek/000260.json
index 031b0113dc7b544d86ff79fa170caf8ed77384c0..fab5968c68cc61fbfa3c7b435359cdb855b2ddb5 100644
--- a/manifests/batches/deepseek/000260.json
+++ b/manifests/batches/deepseek/000260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000260",
   "batch_fingerprint": "f39a036519cebfd75ecfd19d152dce01387c040835b9a61d1f65eeae2f126465",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000260-0000-a637364c2acdd521.parquet",
-      "sha256": "a637364c2acdd521ba29a2e883c96dab35945036de3a55450532f025b230a4a6",
-      "bytes": 363198,
-      "rows": 100,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/deepseek-000260-0000-d07ef3f3c3f221ba.parquet",
-      "sha256": "d07ef3f3c3f221bac3fb7522a593d5bac71e75ae45cd4e98bd64ce0fce89de1d",
-      "bytes": 35200,
-      "rows": 3,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/deepseek-000260-0000-e30a81e3c4779f44.parquet",
-      "sha256": "e30a81e3c4779f4479a655e2a78f49557257d87821feabf821b41653c35288bb",
-      "bytes": 58750,
-      "rows": 14,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13040",
     "deepseek:thm_13041",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013047.lean\",\"3606731bc0ef919b1a3a7f046fdf155ba6e6ad645d864a72e53852b53ead0de4\",0,\"thm_13087\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013048.lean\",\"1c2a1238b46044ef805d93ed71833544d35220a811d329d175c2fb4efffa758a\",0,\"thm_13088\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013049.lean\",\"a626bd1764fb5c187b1fcde374c77c3ec22e86b8af2f41d751c0350d8c25b043\",0,\"thm_13089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363198,
+      "path": "data/train/pf1/deepseek-000260-0000-a637364c2acdd521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "a637364c2acdd521ba29a2e883c96dab35945036de3a55450532f025b230a4a6"
+    },
+    {
+      "bytes": 35200,
+      "path": "data/dev/pf1/deepseek-000260-0000-d07ef3f3c3f221ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d07ef3f3c3f221bac3fb7522a593d5bac71e75ae45cd4e98bd64ce0fce89de1d"
+    },
+    {
+      "bytes": 58750,
+      "path": "data/internal_test/pf1/deepseek-000260-0000-e30a81e3c4779f44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e30a81e3c4779f4479a655e2a78f49557257d87821feabf821b41653c35288bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000261.json b/manifests/batches/deepseek/000261.json
index 62c3d15e8b9b7e736ea38f1fe5056c3324e4c168..acbbccabf2fe8a2dfb2c0b94cf5bb594ebad5778 100644
--- a/manifests/batches/deepseek/000261.json
+++ b/manifests/batches/deepseek/000261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000261",
   "batch_fingerprint": "cbdd4be4382c1965fbe8b55ab1a6a687265d176c52c6ebe4933ad350c3cdce08",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000261-0000-806555c215aae156.parquet",
-      "sha256": "806555c215aae15683808d4a9df0a75387ae964ed13c823f9b38c23f50b38239",
-      "bytes": 298497,
-      "rows": 96,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/deepseek-000261-0000-a2b094fd95f65322.parquet",
-      "sha256": "a2b094fd95f6532274b5d861d41d46c04cc20129e1e15fdef02182741703490a",
-      "bytes": 34386,
-      "rows": 3,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000261-0000-eb153b97416d5ba4.parquet",
-      "sha256": "eb153b97416d5ba4c5a133cf8f95ce9a93c583029d17ad93a35e539fbcbcc162",
-      "bytes": 55534,
-      "rows": 8,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13090",
     "deepseek:thm_13091",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013097.lean\",\"9ac78523725b537c61028f30aa034b67c26907f366d4ced5f03479a17ceb58dc\",0,\"thm_13137\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013098.lean\",\"be25b733f8c9e01c04d19f67fbf687e8579a63767f0d392add9df5d00883c0c1\",0,\"thm_13138\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013099.lean\",\"0bfc30232c5809692dcb65d30eeae04cc5ff63e5bc4c30fce5f9046a4f714f26\",0,\"thm_13139\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298497,
+      "path": "data/train/p34/deepseek-000261-0000-806555c215aae156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "806555c215aae15683808d4a9df0a75387ae964ed13c823f9b38c23f50b38239"
+    },
+    {
+      "bytes": 34386,
+      "path": "data/dev/p34/deepseek-000261-0000-a2b094fd95f65322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a2b094fd95f6532274b5d861d41d46c04cc20129e1e15fdef02182741703490a"
+    },
+    {
+      "bytes": 55534,
+      "path": "data/internal_test/p34/deepseek-000261-0000-eb153b97416d5ba4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eb153b97416d5ba4c5a133cf8f95ce9a93c583029d17ad93a35e539fbcbcc162"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000262.json b/manifests/batches/deepseek/000262.json
index fb1921176f4995e13caa29633be1fba6994d724f..5c0313f78b8ec2153040bcb2f243f96f82f943c2 100644
--- a/manifests/batches/deepseek/000262.json
+++ b/manifests/batches/deepseek/000262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000262",
   "batch_fingerprint": "eadb0860ad1dad816ab4192727c5e9469d45358dccd632d23f9e624f760b9e9b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000262-0000-628daed86b6874c8.parquet",
-      "sha256": "628daed86b6874c82b978844bd0ee6ce6ae9d2f590af9c59e4df5045bafd6ffa",
-      "bytes": 569056,
-      "rows": 97,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/deepseek-000262-0000-6302d708c8bfdd0b.parquet",
-      "sha256": "6302d708c8bfdd0b13cd51f742b19fbcf032a0d26376917ec198a74299662508",
-      "bytes": 48605,
-      "rows": 11,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000262-0000-218fbfc92c3993e7.parquet",
-      "sha256": "218fbfc92c3993e777091c90ae0d58442dbbfe567924849f6b34cbc00b0b0ee1",
-      "bytes": 53947,
-      "rows": 7,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13140",
     "deepseek:thm_13141",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013147.lean\",\"ef95f5c43ff5587b03deafef01114ff72c53b4c3b0aa3291b5adc5093189a843\",0,\"thm_13187\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013148.lean\",\"6d217871525c86e38b0a5455afea53aedf96e0e603260e1f0e689b6c3462ebd3\",0,\"thm_13188\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013149.lean\",\"7affa3bf4ea13a48f6d161fd50775b9c99bbe42c7fb298c6f1206a8928efe9e7\",0,\"thm_13189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 569056,
+      "path": "data/train/p65/deepseek-000262-0000-628daed86b6874c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "628daed86b6874c82b978844bd0ee6ce6ae9d2f590af9c59e4df5045bafd6ffa"
+    },
+    {
+      "bytes": 48605,
+      "path": "data/dev/p65/deepseek-000262-0000-6302d708c8bfdd0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6302d708c8bfdd0b13cd51f742b19fbcf032a0d26376917ec198a74299662508"
+    },
+    {
+      "bytes": 53947,
+      "path": "data/internal_test/p65/deepseek-000262-0000-218fbfc92c3993e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "218fbfc92c3993e777091c90ae0d58442dbbfe567924849f6b34cbc00b0b0ee1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000263.json b/manifests/batches/deepseek/000263.json
index 1ce0d96ece6a86f5b32d221130919fb96726074a..1b47726fdb979ceb424833065f15f51bc3199ac4 100644
--- a/manifests/batches/deepseek/000263.json
+++ b/manifests/batches/deepseek/000263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000263",
   "batch_fingerprint": "b783674514dc0abea22a25fe1228f9a7363081adfe1aae68012f3592af4d4ab7",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000263-0000-aacccbb0a39632ad.parquet",
-      "sha256": "aacccbb0a39632adaf32722e5ee120c002dc8b7c80a3f5c29f6ff9bd57ad1cc8",
-      "bytes": 326189,
-      "rows": 99,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/deepseek-000263-0000-4d1d82639eb0a57d.parquet",
-      "sha256": "4d1d82639eb0a57d3e04c0cf3cf421d83ab079ccfb026a9fdedf29c1b3f5df0e",
-      "bytes": 68364,
-      "rows": 4,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/deepseek-000263-0000-e8c55cd43192de25.parquet",
-      "sha256": "e8c55cd43192de2560a1f0a4e6d23d0eb637e56f3433a4b56aa0d4319fb77b8d",
-      "bytes": 58497,
-      "rows": 15,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13190",
     "deepseek:thm_13191",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013197.lean\",\"8017e8f6459f786f63e07fa1b9dc00561b91783185da768d788cf8607b1f43fc\",0,\"thm_13237\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013198.lean\",\"e284e9ab70a3db4c90950e386aa106553a89c64042db95d5f2c89f7940dc637e\",0,\"thm_13238\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013199.lean\",\"0d4ba88db85eca731c715e57ac408c6881c0c868cc193ca45f62f8d9b47a0517\",0,\"thm_13239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326189,
+      "path": "data/train/pd7/deepseek-000263-0000-aacccbb0a39632ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "aacccbb0a39632adaf32722e5ee120c002dc8b7c80a3f5c29f6ff9bd57ad1cc8"
+    },
+    {
+      "bytes": 68364,
+      "path": "data/dev/pd7/deepseek-000263-0000-4d1d82639eb0a57d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d1d82639eb0a57d3e04c0cf3cf421d83ab079ccfb026a9fdedf29c1b3f5df0e"
+    },
+    {
+      "bytes": 58497,
+      "path": "data/internal_test/pd7/deepseek-000263-0000-e8c55cd43192de25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e8c55cd43192de2560a1f0a4e6d23d0eb637e56f3433a4b56aa0d4319fb77b8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000264.json b/manifests/batches/deepseek/000264.json
index 958f3f508f9ba586572ed15ca8f89ad74d09e8a3..5d46e4d07e68f109a5b870d2f62c9b7e47faac4a 100644
--- a/manifests/batches/deepseek/000264.json
+++ b/manifests/batches/deepseek/000264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000264",
   "batch_fingerprint": "9c0f0502ec7d93df88ef44fa55f22e779568873fd36219ec81f50e52f4294efc",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000264-0000-f83bd23d6c6a6ceb.parquet",
-      "sha256": "f83bd23d6c6a6ceb633f4a9638f9333bacb9d46427bf776694ea4d6f052a5c23",
-      "bytes": 273259,
-      "rows": 89,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/deepseek-000264-0000-2b694ad1c93e00f2.parquet",
-      "sha256": "2b694ad1c93e00f2976df32ff4278ba6f8b5f739a03f1a607b72d6fe347dfb4d",
-      "bytes": 59082,
-      "rows": 16,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000264-0000-c5327197538afcb2.parquet",
-      "sha256": "c5327197538afcb23953dc02696dd787f4fb5b06ed672da18e9ab05954ec9251",
-      "bytes": 49318,
-      "rows": 8,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13240",
     "deepseek:thm_13241",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013247.lean\",\"61099470e46a111ccad7817ddbd45bbff578c743c18ba24e44d5081aa3ed733c\",0,\"thm_13287\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013248.lean\",\"3d92cc1214fb4ba31ca31070e2cfaea6ecce55da2bb707c4dd14da77959fef5f\",0,\"thm_13288\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013249.lean\",\"1980b75181d6640e9ab7ca9b74353f58aa5fb8d135da5a0da97d62f403c7adb5\",0,\"thm_13289\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273259,
+      "path": "data/train/pca/deepseek-000264-0000-f83bd23d6c6a6ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "f83bd23d6c6a6ceb633f4a9638f9333bacb9d46427bf776694ea4d6f052a5c23"
+    },
+    {
+      "bytes": 59082,
+      "path": "data/dev/pca/deepseek-000264-0000-2b694ad1c93e00f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2b694ad1c93e00f2976df32ff4278ba6f8b5f739a03f1a607b72d6fe347dfb4d"
+    },
+    {
+      "bytes": 49318,
+      "path": "data/internal_test/pca/deepseek-000264-0000-c5327197538afcb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c5327197538afcb23953dc02696dd787f4fb5b06ed672da18e9ab05954ec9251"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000265.json b/manifests/batches/deepseek/000265.json
index 3404ad238eafaad702ae8af660ab9dadff40858c..cd6dee0bf5893b870a67849e81b31c68fa36cfd1 100644
--- a/manifests/batches/deepseek/000265.json
+++ b/manifests/batches/deepseek/000265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000265",
   "batch_fingerprint": "ceb081f4c6eda01eb1724a8f4b05982225650ff59958db5ffd51c410654a84aa",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000265-0000-bc40c185e1d80303.parquet",
-      "sha256": "bc40c185e1d803032d18d5322096b07720f07c83337f2d013d8cff3dc226e5ca",
-      "bytes": 302104,
-      "rows": 88,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/deepseek-000265-0000-1ab4bab9f0056919.parquet",
-      "sha256": "1ab4bab9f0056919e75f4f0fa14ab5ac06d4ed96dfe5186d6c34f18b3db5a4eb",
-      "bytes": 44135,
-      "rows": 6,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000265-0000-412a035cbfd8ebd6.parquet",
-      "sha256": "412a035cbfd8ebd6beacb8224dd8d5351eb5bb0e01c46156886dac719409c3be",
-      "bytes": 77086,
-      "rows": 16,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13290",
     "deepseek:thm_13291",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013296.lean\",\"18b1f8338b9ee974f81a9819b5f2e6ea28ee10a66c1bee2f06629432fa28f826\",0,\"thm_13337\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013297.lean\",\"c59b1598e57a60dfb8031735389fe97e253db73891fd7268293637e34ea0f239\",0,\"thm_13338\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013298.lean\",\"2ccb6d82cd4b39171694a4791ccaca95c83dcc4ca2a003a0db4ff3ac90885a59\",0,\"thm_13339\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302104,
+      "path": "data/train/p82/deepseek-000265-0000-bc40c185e1d80303.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "bc40c185e1d803032d18d5322096b07720f07c83337f2d013d8cff3dc226e5ca"
+    },
+    {
+      "bytes": 44135,
+      "path": "data/dev/p82/deepseek-000265-0000-1ab4bab9f0056919.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1ab4bab9f0056919e75f4f0fa14ab5ac06d4ed96dfe5186d6c34f18b3db5a4eb"
+    },
+    {
+      "bytes": 77086,
+      "path": "data/internal_test/p82/deepseek-000265-0000-412a035cbfd8ebd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "412a035cbfd8ebd6beacb8224dd8d5351eb5bb0e01c46156886dac719409c3be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000266.json b/manifests/batches/deepseek/000266.json
index db6cffc9c6f4e7e3c39f245fccc9f2f041bad703..8bdf02ed34170a6396451bff3f897da6a7d3f9b0 100644
--- a/manifests/batches/deepseek/000266.json
+++ b/manifests/batches/deepseek/000266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000266",
   "batch_fingerprint": "daac6c29728fb81d7f75e91c3d3f92f56f1759bfca79325a4c0e432a7297caa1",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000266-0000-5c821b7816ffb606.parquet",
-      "sha256": "5c821b7816ffb6069a2f2b53f040033e7e7073afd527ea0a84a49ff603d55970",
-      "bytes": 275420,
-      "rows": 94,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/deepseek-000266-0000-b3750309cd0e58ed.parquet",
-      "sha256": "b3750309cd0e58ede7ead6efd4ee24196a005c41727ed3c730f683ad431f73e6",
-      "bytes": 58895,
-      "rows": 13,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/deepseek-000266-0000-86a25a421e156eae.parquet",
-      "sha256": "86a25a421e156eae391f7d3d2cc0ddc3a482a372b5ac98f80213c45197e559cc",
-      "bytes": 42116,
-      "rows": 8,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13341",
     "deepseek:thm_13342",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013346.lean\",\"d49b59724ce6e252aea070ad23937dcfc7142983ca7b5f2dab12095337f39534\",0,\"thm_13387\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013347.lean\",\"a595dc67dc8a1545180bcee41ac70b36d54c46ab75ec2af8e8c8b465d8dae4c2\",0,\"thm_13388\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013348.lean\",\"b399bf04ae0e40779333d85e88d448c22433b915f0030f11c79155d4e55f8771\",0,\"thm_13389\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275420,
+      "path": "data/train/p33/deepseek-000266-0000-5c821b7816ffb606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "5c821b7816ffb6069a2f2b53f040033e7e7073afd527ea0a84a49ff603d55970"
+    },
+    {
+      "bytes": 58895,
+      "path": "data/dev/p33/deepseek-000266-0000-b3750309cd0e58ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b3750309cd0e58ede7ead6efd4ee24196a005c41727ed3c730f683ad431f73e6"
+    },
+    {
+      "bytes": 42116,
+      "path": "data/internal_test/p33/deepseek-000266-0000-86a25a421e156eae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "86a25a421e156eae391f7d3d2cc0ddc3a482a372b5ac98f80213c45197e559cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000267.json b/manifests/batches/deepseek/000267.json
index c5a93e6bde804eaa968a8cc874da7722a9b40909..edf187d77fe80a6b293a7bc5702c62f6a95bde08 100644
--- a/manifests/batches/deepseek/000267.json
+++ b/manifests/batches/deepseek/000267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000267",
   "batch_fingerprint": "65ca8f526b52a9005e677a3b60e1ce0a0277ef56c210e849853eff918a6ee0f1",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000267-0000-515e9890cb471ee8.parquet",
-      "sha256": "515e9890cb471ee87972315ff993838a869f774a4c4c29e67a2fc6a6c362b78f",
-      "bytes": 261165,
-      "rows": 87,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/deepseek-000267-0000-5f7299e04a691e77.parquet",
-      "sha256": "5f7299e04a691e77eaec275634b756d198094b042d4c24b9d366b39df44c5bbd",
-      "bytes": 44641,
-      "rows": 10,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/deepseek-000267-0000-21d1544d358361de.parquet",
-      "sha256": "21d1544d358361de623e5c7a69f6c337e332598fb13565b15032fa74af88d8bc",
-      "bytes": 53320,
-      "rows": 11,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13391",
     "deepseek:thm_13392",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013397.lean\",\"5267ea96dd7c322e098d7d0ef272bc92df36ee7fa854cfa8352b0955fd349b55\",0,\"thm_13438\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013398.lean\",\"b94949ef47d52ae9827ba8dda524fcd325d8e11329c3c116375832d9af61f0fe\",0,\"thm_13439\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013399.lean\",\"55b6867779162aaf12fd851adc6e96ef09f09691a364af420438911a65bab47a\",0,\"thm_13440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261165,
+      "path": "data/train/p05/deepseek-000267-0000-515e9890cb471ee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "515e9890cb471ee87972315ff993838a869f774a4c4c29e67a2fc6a6c362b78f"
+    },
+    {
+      "bytes": 44641,
+      "path": "data/dev/p05/deepseek-000267-0000-5f7299e04a691e77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5f7299e04a691e77eaec275634b756d198094b042d4c24b9d366b39df44c5bbd"
+    },
+    {
+      "bytes": 53320,
+      "path": "data/internal_test/p05/deepseek-000267-0000-21d1544d358361de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "21d1544d358361de623e5c7a69f6c337e332598fb13565b15032fa74af88d8bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000268.json b/manifests/batches/deepseek/000268.json
index 997072b47940d8e3bff38f9d485d8b00fdaf520b..6eb2240b2bc5926d5d17a631c0b66f31abc5f499 100644
--- a/manifests/batches/deepseek/000268.json
+++ b/manifests/batches/deepseek/000268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000268",
   "batch_fingerprint": "652319f08f0af72ab141ad9e45e6a10204c17040e1e9e331b6806c06d363ed1d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000268-0000-3f518b58b49c253b.parquet",
-      "sha256": "3f518b58b49c253b4a805544375e5708dfe7e85dfbb08181764c6b0d78f750ed",
-      "bytes": 277471,
-      "rows": 87,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/deepseek-000268-0000-7f500f693b805056.parquet",
-      "sha256": "7f500f693b805056368d3ee1a7b5deb8e41a6eabb1aec334cb82a7262fa38291",
-      "bytes": 41851,
-      "rows": 6,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/deepseek-000268-0000-2ae00502a64ba5f4.parquet",
-      "sha256": "2ae00502a64ba5f4ace7584e49661611eb6b37b0971f760b76ec9e3df38c89fd",
-      "bytes": 67430,
-      "rows": 17,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13441",
     "deepseek:thm_13442",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013447.lean\",\"124ba7e192767ab3cab03e8f479443daeb3ffaa3359d63d4b62c02a0a8ed7277\",0,\"thm_13488\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013448.lean\",\"3d20d40eeb49b7a8b64e0ea45d7407dbf522c75881a6359c89413aaac3e11592\",0,\"thm_13489\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013449.lean\",\"d8c69b30bed2d3d5e1b752514f282799ccf8fe0dae3617661fe2bbb0b626b926\",0,\"thm_13490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277471,
+      "path": "data/train/p4c/deepseek-000268-0000-3f518b58b49c253b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "3f518b58b49c253b4a805544375e5708dfe7e85dfbb08181764c6b0d78f750ed"
+    },
+    {
+      "bytes": 41851,
+      "path": "data/dev/p4c/deepseek-000268-0000-7f500f693b805056.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7f500f693b805056368d3ee1a7b5deb8e41a6eabb1aec334cb82a7262fa38291"
+    },
+    {
+      "bytes": 67430,
+      "path": "data/internal_test/p4c/deepseek-000268-0000-2ae00502a64ba5f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2ae00502a64ba5f4ace7584e49661611eb6b37b0971f760b76ec9e3df38c89fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000269.json b/manifests/batches/deepseek/000269.json
index 0de41f377272ef6a34de5a943fac268fd0f11831..8971bbc9f1ed484d8cfb4713d96624fbb14cbe54 100644
--- a/manifests/batches/deepseek/000269.json
+++ b/manifests/batches/deepseek/000269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000269",
   "batch_fingerprint": "14d98a9a22364932795c7ee81715b5463f219060a1672716ad08909ba0fba7f3",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000269-0000-d4037796f0cdb48f.parquet",
-      "sha256": "d4037796f0cdb48f46e698bbac560b747b1a103bee748f80696dc7b0cba6b2fb",
-      "bytes": 330103,
-      "rows": 98,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/deepseek-000269-0000-99cc6cb8f7d79fe7.parquet",
-      "sha256": "99cc6cb8f7d79fe7a097e4532c2cb6ce69407318eb14f7bdc51ca9932aa085c5",
-      "bytes": 53555,
-      "rows": 8,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000269-0000-665da4e3ac4c15e0.parquet",
-      "sha256": "665da4e3ac4c15e0eff6a47fc048323a5c9e993bec1d17e52f98aa64755c405d",
-      "bytes": 38833,
-      "rows": 8,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13491",
     "deepseek:thm_13492",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013497.lean\",\"5bfeb0a44324960f12070aba64d85607fe500bcf34bd5dc1b8d2c603e899cc7d\",0,\"thm_13538\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013498.lean\",\"5ec53b6a92d8cc011899f492529d2e7cb722d82759febc7d14647c47391bb419\",0,\"thm_13539\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013499.lean\",\"8c2f5ac80cf66d0cc0c421422ad1d97a475da750fa089f368b472ea53fd8442f\",0,\"thm_13540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330103,
+      "path": "data/train/p2c/deepseek-000269-0000-d4037796f0cdb48f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "d4037796f0cdb48f46e698bbac560b747b1a103bee748f80696dc7b0cba6b2fb"
+    },
+    {
+      "bytes": 53555,
+      "path": "data/dev/p2c/deepseek-000269-0000-99cc6cb8f7d79fe7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "99cc6cb8f7d79fe7a097e4532c2cb6ce69407318eb14f7bdc51ca9932aa085c5"
+    },
+    {
+      "bytes": 38833,
+      "path": "data/internal_test/p2c/deepseek-000269-0000-665da4e3ac4c15e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "665da4e3ac4c15e0eff6a47fc048323a5c9e993bec1d17e52f98aa64755c405d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000270.json b/manifests/batches/deepseek/000270.json
index b7a7bcd8dd64f81353dd2813b73d944549e87379..c0a696d385859e6ebfbaabc267a59ec554d4e3df 100644
--- a/manifests/batches/deepseek/000270.json
+++ b/manifests/batches/deepseek/000270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000270",
   "batch_fingerprint": "6f9be3484c1cc4207837762ffe315a7d0b5b586b62e54aed237464a60c0052f1",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000270-0000-c677ae229df9b9de.parquet",
-      "sha256": "c677ae229df9b9def5840c49a600aeac7bb9783221f1785eb9279230c6716193",
-      "bytes": 340053,
-      "rows": 107,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/deepseek-000270-0000-f658bd7498b3973e.parquet",
-      "sha256": "f658bd7498b3973e1d3349e4970810ae7de9b5ea9a4c21bbe813d2185e8019a6",
-      "bytes": 34412,
-      "rows": 2,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000270-0000-5540b9321f4f2d6b.parquet",
-      "sha256": "5540b9321f4f2d6bad97c5256e94f45fc958222665bbe1c2b01f0f2da82d6186",
-      "bytes": 42073,
-      "rows": 6,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13541",
     "deepseek:thm_13542",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013547.lean\",\"d220ffc113de4a38de6e88d448b2684e5d0f3738f12f7a369744f876e09035f6\",0,\"thm_13588\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013548.lean\",\"6c49f1567f43c26f36274eae09cf794432575d677278af95ad2b8ded3fae1999\",0,\"thm_13589\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013549.lean\",\"89225a44374edc69bc9418a134ec6da92012984e29461dec50502013c9471b53\",0,\"thm_13590\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340053,
+      "path": "data/train/pff/deepseek-000270-0000-c677ae229df9b9de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "c677ae229df9b9def5840c49a600aeac7bb9783221f1785eb9279230c6716193"
+    },
+    {
+      "bytes": 34412,
+      "path": "data/dev/pff/deepseek-000270-0000-f658bd7498b3973e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f658bd7498b3973e1d3349e4970810ae7de9b5ea9a4c21bbe813d2185e8019a6"
+    },
+    {
+      "bytes": 42073,
+      "path": "data/internal_test/pff/deepseek-000270-0000-5540b9321f4f2d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5540b9321f4f2d6bad97c5256e94f45fc958222665bbe1c2b01f0f2da82d6186"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000271.json b/manifests/batches/deepseek/000271.json
index 16017db51efeda8c7b44d1146d685e438072cbdb..d8835cee794d313964440f74a501595e4428ac77 100644
--- a/manifests/batches/deepseek/000271.json
+++ b/manifests/batches/deepseek/000271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000271",
   "batch_fingerprint": "9433c25f77d176b04becc980b29b27bcdadb524fd99b8105107d406ac25853e5",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000271-0000-14c9be02a324b14d.parquet",
-      "sha256": "14c9be02a324b14d14075a8433574cc1e45a3fb002a3605169118dd08f960d9b",
-      "bytes": 369408,
-      "rows": 102,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/deepseek-000271-0000-5be365b04aefc690.parquet",
-      "sha256": "5be365b04aefc69058ceedf3cc0e5aa14df79d0a5b532afb1432c6009ef22270",
-      "bytes": 35201,
-      "rows": 4,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/deepseek-000271-0000-4255f7f157f034cb.parquet",
-      "sha256": "4255f7f157f034cbd5c9b4227106c67e251500c0d9c5209d9219b93356eb9431",
-      "bytes": 52461,
-      "rows": 2,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13591",
     "deepseek:thm_13592",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013597.lean\",\"536614687d362845d3f96545df058714a513521feaf40f03b0331a63c2f2af7e\",0,\"thm_13638\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013598.lean\",\"022c94c17c0888fb75ddee6ac298ce35a9b61c7f732c799feff2b59d0e2e7251\",0,\"thm_13639\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013599.lean\",\"e37db7b1ba231c0303af0dda4d15b0fe1ae5f104efe4d793d78ab7fffaa7cc32\",0,\"thm_13640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369408,
+      "path": "data/train/p16/deepseek-000271-0000-14c9be02a324b14d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "14c9be02a324b14d14075a8433574cc1e45a3fb002a3605169118dd08f960d9b"
+    },
+    {
+      "bytes": 35201,
+      "path": "data/dev/p16/deepseek-000271-0000-5be365b04aefc690.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5be365b04aefc69058ceedf3cc0e5aa14df79d0a5b532afb1432c6009ef22270"
+    },
+    {
+      "bytes": 52461,
+      "path": "data/internal_test/p16/deepseek-000271-0000-4255f7f157f034cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4255f7f157f034cbd5c9b4227106c67e251500c0d9c5209d9219b93356eb9431"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000272.json b/manifests/batches/deepseek/000272.json
index c072c281387a6bb371cfaf07b40ef77071a13a68..2cceac6210b46d4054b76fca2dfbf3c47f13c584 100644
--- a/manifests/batches/deepseek/000272.json
+++ b/manifests/batches/deepseek/000272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000272",
   "batch_fingerprint": "fecc4ee25f14a1b47be6a8f940c2dba6c96ac716e2def3b63541094d79501995",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000272-0000-4a7f1aaef03b4b3a.parquet",
-      "sha256": "4a7f1aaef03b4b3ae496f21773034e1e803368cebd2066c4bdeaa36aa7ef90a9",
-      "bytes": 332510,
-      "rows": 95,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/deepseek-000272-0000-dc3978e80bd70fce.parquet",
-      "sha256": "dc3978e80bd70fce9fa61066f81322bbd37ab5108d844bf031808d849d80c73a",
-      "bytes": 49826,
-      "rows": 10,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000272-0000-f078654e21efc1fb.parquet",
-      "sha256": "f078654e21efc1fbb4a2f13304873690e5f523cab849a79138b3cf4eb0b06b33",
-      "bytes": 47556,
-      "rows": 9,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13641",
     "deepseek:thm_13642",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013647.lean\",\"d2303101579097ff3568ee64583946f8fbc35b605eb06bf1e87796327eda9a4f\",0,\"thm_13688\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013648.lean\",\"e8c8641dbf596c505500910b48e2cf3b74f325e23d81266cf97d8a41a93bfd73\",0,\"thm_13689\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013649.lean\",\"765a6733873ea51529223e5a07523249bc9c33f36b41c94a23ce9b39db8b9b4c\",0,\"thm_13690\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332510,
+      "path": "data/train/pcf/deepseek-000272-0000-4a7f1aaef03b4b3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "4a7f1aaef03b4b3ae496f21773034e1e803368cebd2066c4bdeaa36aa7ef90a9"
+    },
+    {
+      "bytes": 49826,
+      "path": "data/dev/pcf/deepseek-000272-0000-dc3978e80bd70fce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "dc3978e80bd70fce9fa61066f81322bbd37ab5108d844bf031808d849d80c73a"
+    },
+    {
+      "bytes": 47556,
+      "path": "data/internal_test/pcf/deepseek-000272-0000-f078654e21efc1fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f078654e21efc1fbb4a2f13304873690e5f523cab849a79138b3cf4eb0b06b33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000273.json b/manifests/batches/deepseek/000273.json
index b38a6c4679ae3dbe731edbb85602fab9c8a56061..2d7b79221de7712c597eee90f26a672501230328 100644
--- a/manifests/batches/deepseek/000273.json
+++ b/manifests/batches/deepseek/000273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000273",
   "batch_fingerprint": "1458533bfa5656f826bdd955588e73a5efc8d911f1c96af00c31479631e296d5",
   "evidence": {
@@ -44,29 +43,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000273-0000-4672383dd7d155d4.parquet",
-      "sha256": "4672383dd7d155d4b59fb92e218334c33417af7716e9db5030b426e305567af6",
-      "bytes": 312364,
-      "rows": 102,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/deepseek-000273-0000-6903008f44c1a969.parquet",
-      "sha256": "6903008f44c1a969d199f44477d947b467b877617503d0645e1556805faad796",
-      "bytes": 57576,
-      "rows": 3,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000273-0000-aedda141cd4b0873.parquet",
-      "sha256": "aedda141cd4b08735cfce5a8031cf0a1260c713d904d5ea42551075020638126",
-      "bytes": 72299,
-      "rows": 21,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13691",
     "deepseek:thm_13692",
@@ -168,5 +145,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013697.lean\",\"e8b92041b782c3d01e91a2cfd9ece5363d7aaf7b0ef5e7baf7d3175c55883f2a\",0,\"thm_13738\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013698.lean\",\"3175478b962a1cc568265939fb754d446cbfdab7829e4f00db990cf0b76d5269\",0,\"thm_13739\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013699.lean\",\"cc9be8f72828f970d56eca92fa2ac1ae646d1316f1c3efefe271669adc473841\",0,\"thm_13740\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312364,
+      "path": "data/train/p7d/deepseek-000273-0000-4672383dd7d155d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "4672383dd7d155d4b59fb92e218334c33417af7716e9db5030b426e305567af6"
+    },
+    {
+      "bytes": 57576,
+      "path": "data/dev/p7d/deepseek-000273-0000-6903008f44c1a969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6903008f44c1a969d199f44477d947b467b877617503d0645e1556805faad796"
+    },
+    {
+      "bytes": 72299,
+      "path": "data/internal_test/p7d/deepseek-000273-0000-aedda141cd4b0873.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "aedda141cd4b08735cfce5a8031cf0a1260c713d904d5ea42551075020638126"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000274.json b/manifests/batches/deepseek/000274.json
index f75c762336c5e75277a8dd9befeca1a5735e78cd..586e27a2d2d1a8ba0f092f915cd0d0ef1f51fc26 100644
--- a/manifests/batches/deepseek/000274.json
+++ b/manifests/batches/deepseek/000274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000274",
   "batch_fingerprint": "ea69574ca2c4364e3d46201c7956fa20e274ac2666954159eb2c59996c096ad2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000274-0000-9b3c6c17ab9bc163.parquet",
-      "sha256": "9b3c6c17ab9bc163576f7a4b1c38a8a82e838c44c7f8c0ca6d4cdf845c39d253",
-      "bytes": 312483,
-      "rows": 104,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/deepseek-000274-0000-ff5e4ab6f17eb58c.parquet",
-      "sha256": "ff5e4ab6f17eb58ca4a765bbf15bc439fe2b6b27fe7bf71039a44ba04f37c3b8",
-      "bytes": 38684,
-      "rows": 4,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000274-0000-47a6c280a7c8036a.parquet",
-      "sha256": "47a6c280a7c8036abbf36a4b966f538d0617a8d9aa2637f49ce4fb1203d9c033",
-      "bytes": 32261,
-      "rows": 6,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13741",
     "deepseek:thm_13742",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013747.lean\",\"26b39dfe275dda6fa5afec94ab593cc3d51f0e9604f6b66da7c559bf8a4dd1b0\",0,\"thm_13788\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013748.lean\",\"5a46e0f349efe112bf11caad189a133a6c27b2b8d45a292c95fb56ca4061fa3c\",0,\"thm_13789\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013749.lean\",\"d888e0ef21b9d083efcc0ae65bf56005d7bc1c6e7ec05ad656c49d5105fb9bd0\",0,\"thm_13790\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312483,
+      "path": "data/train/p4a/deepseek-000274-0000-9b3c6c17ab9bc163.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "9b3c6c17ab9bc163576f7a4b1c38a8a82e838c44c7f8c0ca6d4cdf845c39d253"
+    },
+    {
+      "bytes": 38684,
+      "path": "data/dev/p4a/deepseek-000274-0000-ff5e4ab6f17eb58c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ff5e4ab6f17eb58ca4a765bbf15bc439fe2b6b27fe7bf71039a44ba04f37c3b8"
+    },
+    {
+      "bytes": 32261,
+      "path": "data/internal_test/p4a/deepseek-000274-0000-47a6c280a7c8036a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "47a6c280a7c8036abbf36a4b966f538d0617a8d9aa2637f49ce4fb1203d9c033"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000275.json b/manifests/batches/deepseek/000275.json
index 6143e6b3ea1ba3e0a7acf3f1be148528bb63f7f1..16e14525fd57f4ce834385b9327ece08e3bb1f39 100644
--- a/manifests/batches/deepseek/000275.json
+++ b/manifests/batches/deepseek/000275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000275",
   "batch_fingerprint": "ae7c6ad58b196a51e10963d6bdd515695d958d8c8256f07bf741f01320f863c5",
   "evidence": {
@@ -74,29 +73,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000275-0000-d14b08745f3abc27.parquet",
-      "sha256": "d14b08745f3abc27c52a4974d22735567e8f49ff983bdb345030bef95fbd91c5",
-      "bytes": 308954,
-      "rows": 95,
-      "revision": "53ab5b7d3423928e439bafd57f38b818f6476f7a"
-    },
-    {
-      "path": "data/dev/deepseek-000275-0000-6aa262758b07313d.parquet",
-      "sha256": "6aa262758b07313d847645922416c3eaf0a090c79ae3010943eb24266e11fe4b",
-      "bytes": 48557,
-      "rows": 10,
-      "revision": "53ab5b7d3423928e439bafd57f38b818f6476f7a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000275-0000-55ba59a0ddd527d2.parquet",
-      "sha256": "55ba59a0ddd527d28319201aaece6df97af213526736e6fb718f2d10265e8d0c",
-      "bytes": 47261,
-      "rows": 9,
-      "revision": "53ab5b7d3423928e439bafd57f38b818f6476f7a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13791",
     "deepseek:thm_13792",
@@ -194,5 +171,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013797.lean\",\"545b6c9fe8a9502fa40b026a608784caa55f939475890db50afee70992d4480e\",0,\"thm_13838\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013798.lean\",\"4eb35fa90032316b0252dc5ade95a09eebf1afcff82b6aeefe7d66faf63049e6\",0,\"thm_13839\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013799.lean\",\"bfb1699a2773e602bde974c2faac914751b7605af2fe8d135a849311d26171f7\",0,\"thm_13840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308954,
+      "path": "data/train/p91/deepseek-000275-0000-d14b08745f3abc27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "d14b08745f3abc27c52a4974d22735567e8f49ff983bdb345030bef95fbd91c5"
+    },
+    {
+      "bytes": 48557,
+      "path": "data/dev/p91/deepseek-000275-0000-6aa262758b07313d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6aa262758b07313d847645922416c3eaf0a090c79ae3010943eb24266e11fe4b"
+    },
+    {
+      "bytes": 47261,
+      "path": "data/internal_test/p91/deepseek-000275-0000-55ba59a0ddd527d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "55ba59a0ddd527d28319201aaece6df97af213526736e6fb718f2d10265e8d0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000276.json b/manifests/batches/deepseek/000276.json
index 5f1ee7cd870781b395efe9a8110f4d0986519154..a5511a3c1378b06812d29c4e2ac6718687b917b7 100644
--- a/manifests/batches/deepseek/000276.json
+++ b/manifests/batches/deepseek/000276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000276",
   "batch_fingerprint": "6ece29283535313a9ee996b145bb55cc55a3bfdc64a8a383d451f0d4fa4f5be0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000276-0000-d07279ee6d428414.parquet",
-      "sha256": "d07279ee6d42841478b159cd0f210c4f16642cddd27b98d952e39b7d5434db4e",
-      "bytes": 392742,
-      "rows": 123,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000276-0000-924a9f3fc5888297.parquet",
-      "sha256": "924a9f3fc58882979706f886c3f0c05751cca4efcdef66622adb5d81254cf790",
-      "bytes": 41513,
-      "rows": 10,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13841",
     "deepseek:thm_13842",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013847.lean\",\"a8d3e4319fc10431a2c076cf9e1826f67c4bdbe01571d7a42cfb4a7da626e4b5\",0,\"thm_13888\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013848.lean\",\"5642e1387bf986b61d47a220e340b6eea00c37ff1edcb83c6822e444f014a81f\",0,\"thm_13889\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013849.lean\",\"f1f595f36e9329621aae597d0c33fffd457594f2ca63005f5b7aeaf3cc16d8e9\",0,\"thm_13890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392742,
+      "path": "data/train/p99/deepseek-000276-0000-d07279ee6d428414.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 123,
+      "sha256": "d07279ee6d42841478b159cd0f210c4f16642cddd27b98d952e39b7d5434db4e"
+    },
+    {
+      "bytes": 41513,
+      "path": "data/internal_test/p99/deepseek-000276-0000-924a9f3fc5888297.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "924a9f3fc58882979706f886c3f0c05751cca4efcdef66622adb5d81254cf790"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000277.json b/manifests/batches/deepseek/000277.json
index 43aa9f8329a6297764e7eff1e51ed1ebeef89374..d2b8da963bbf7cf0b6623520cd527bcf3cba3ef9 100644
--- a/manifests/batches/deepseek/000277.json
+++ b/manifests/batches/deepseek/000277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000277",
   "batch_fingerprint": "62c39899c554aba342a76fa0921447839d2efc5a3ae4e256dc95a10c8ab0e82e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000277-0000-650cae1e9d970b61.parquet",
-      "sha256": "650cae1e9d970b61fddb017abecdf5d350b68c587dba82fc504856414b02b53d",
-      "bytes": 301581,
-      "rows": 93,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000277-0000-36a492dd30c7abee.parquet",
-      "sha256": "36a492dd30c7abeef51906a97b47c9ebd2bee9f47210c821a0a273450f2d9a29",
-      "bytes": 84247,
-      "rows": 16,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13891",
     "deepseek:thm_13892",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013897.lean\",\"682cc3634bb1f1b2791bf71fef24d16aea64c2e34ab77680dff27fc358c6ff95\",0,\"thm_13938\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013898.lean\",\"bf1cb4e13e0ee685d42cfe8db49681ec992b6de721e9b7f81265b709070153c7\",0,\"thm_13939\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013899.lean\",\"dd47a983b614fce907f70dc95a5794bdc635ab29f4252b06e3da8a27e8d551be\",0,\"thm_13940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301581,
+      "path": "data/train/p2a/deepseek-000277-0000-650cae1e9d970b61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "650cae1e9d970b61fddb017abecdf5d350b68c587dba82fc504856414b02b53d"
+    },
+    {
+      "bytes": 84247,
+      "path": "data/internal_test/p2a/deepseek-000277-0000-36a492dd30c7abee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "36a492dd30c7abeef51906a97b47c9ebd2bee9f47210c821a0a273450f2d9a29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000278.json b/manifests/batches/deepseek/000278.json
index fd55e16350cb0e621a6933c86b92ad867027f1c0..0c109ca95e7c56ddc886b0d1164a123d9f5c812e 100644
--- a/manifests/batches/deepseek/000278.json
+++ b/manifests/batches/deepseek/000278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000278",
   "batch_fingerprint": "dedfc0eb8279fa165ab047fadc43ec3520c05f0e74423afaaa23006ecd700526",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000278-0000-8108de27f3ce089c.parquet",
-      "sha256": "8108de27f3ce089c08f19f0c551654e6548415d3bda9a47e0361269788d6f277",
-      "bytes": 313069,
-      "rows": 99,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/deepseek-000278-0000-65179368878f3aa5.parquet",
-      "sha256": "65179368878f3aa5d14c26b095498659c27027234a484138d5e583b594baeed1",
-      "bytes": 65613,
-      "rows": 15,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000278-0000-7d0ef1f289079d06.parquet",
-      "sha256": "7d0ef1f289079d06790dea029806a30a6e15d2e064d2a9d417cc3dd25ff1e0c7",
-      "bytes": 36503,
-      "rows": 6,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13941",
     "deepseek:thm_13942",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013947.lean\",\"406f20496139f25d78cde83e38dc0dbdaa0a131a0078e0aea0c44df4ecb378dd\",0,\"thm_13988\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013948.lean\",\"90e0e0d890b5569d20b9c092e2ecd7a800eb256213aa2839bc1659b6082ec274\",0,\"thm_13989\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013949.lean\",\"829c9e878db983f92846777dc2149ca0975625e82491921adf72cf782ca1f1f4\",0,\"thm_13990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313069,
+      "path": "data/train/p0c/deepseek-000278-0000-8108de27f3ce089c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "8108de27f3ce089c08f19f0c551654e6548415d3bda9a47e0361269788d6f277"
+    },
+    {
+      "bytes": 65613,
+      "path": "data/dev/p0c/deepseek-000278-0000-65179368878f3aa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "65179368878f3aa5d14c26b095498659c27027234a484138d5e583b594baeed1"
+    },
+    {
+      "bytes": 36503,
+      "path": "data/internal_test/p0c/deepseek-000278-0000-7d0ef1f289079d06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7d0ef1f289079d06790dea029806a30a6e15d2e064d2a9d417cc3dd25ff1e0c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000279.json b/manifests/batches/deepseek/000279.json
index 0846524c5c461a98349d8cab78fa9e3db2b097a7..7a626c0583cfb0e9626844463f81ecd36ea2787b 100644
--- a/manifests/batches/deepseek/000279.json
+++ b/manifests/batches/deepseek/000279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000279",
   "batch_fingerprint": "bff2a54e525f2a31f752168cb1894ef490ad11a6631b6cc161f79880cf1c1abb",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000279-0000-41597e15a7c8cb80.parquet",
-      "sha256": "41597e15a7c8cb8070b4dbbaea42a01c4c29c07c8a8976ed85914c5c9a1ed900",
-      "bytes": 321434,
-      "rows": 102,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/deepseek-000279-0000-760e5a2c14457a2d.parquet",
-      "sha256": "760e5a2c14457a2d65ffb5018b4e0fd4565e8a71c3cc42600c617e1c20d0fce4",
-      "bytes": 40318,
-      "rows": 6,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000279-0000-ab812639d7115ba0.parquet",
-      "sha256": "ab812639d7115ba0afe30a81b7c2471e25a0072e427eb7660b94bd1885f0ae45",
-      "bytes": 45386,
-      "rows": 11,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_13991",
     "deepseek:thm_13992",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013997.lean\",\"16a3b9ce5686e0568023064303b2a7da801703c69befc8ee3eefa2c9bebc7e21\",0,\"thm_14038\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013998.lean\",\"89587611e88e3c1638bb63df7566025411b13f5dcde54570865984a79c75561d\",0,\"thm_14039\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_013999.lean\",\"a185d9a51d009274f1faf6913c5f9bf056b6fe4867567340b08a1e013a9f708b\",0,\"thm_14040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321434,
+      "path": "data/train/pd5/deepseek-000279-0000-41597e15a7c8cb80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "41597e15a7c8cb8070b4dbbaea42a01c4c29c07c8a8976ed85914c5c9a1ed900"
+    },
+    {
+      "bytes": 40318,
+      "path": "data/dev/pd5/deepseek-000279-0000-760e5a2c14457a2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "760e5a2c14457a2d65ffb5018b4e0fd4565e8a71c3cc42600c617e1c20d0fce4"
+    },
+    {
+      "bytes": 45386,
+      "path": "data/internal_test/pd5/deepseek-000279-0000-ab812639d7115ba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ab812639d7115ba0afe30a81b7c2471e25a0072e427eb7660b94bd1885f0ae45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000280.json b/manifests/batches/deepseek/000280.json
index 0cb7bb9ad8563a2124de389320f2086b107da555..3851e9ac5a0402401f58ca7190a266e0cb19e6cb 100644
--- a/manifests/batches/deepseek/000280.json
+++ b/manifests/batches/deepseek/000280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000280",
   "batch_fingerprint": "777aeedbf824cc57c4167962faba6cb81c1891dfd50a51fbe5d8256610cffe9e",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000280-0000-fcbd1e60c620fa3e.parquet",
-      "sha256": "fcbd1e60c620fa3e5b4bacd18d382a827f9a65348baf9555b1da2d9793c96992",
-      "bytes": 258450,
-      "rows": 81,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/dev/deepseek-000280-0000-78c4e3dd00f25474.parquet",
-      "sha256": "78c4e3dd00f25474f59bd99111caf2d5295d8e39b5c98d5c5c3ef766ff107679",
-      "bytes": 60591,
-      "rows": 14,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/internal_test/deepseek-000280-0000-c1edeb6328f8d7a4.parquet",
-      "sha256": "c1edeb6328f8d7a42036a3072131ca066ef578bdf464c17f4d922d593a9a9f80",
-      "bytes": 74502,
-      "rows": 21,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14041",
     "deepseek:thm_14042",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014047.lean\",\"4cb02a03d5ecca5f985ab585f2176ce6dc02c15074b92e17b7f08908328663f3\",0,\"thm_14088\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014048.lean\",\"2e4ed28d19be8bb5bcc6d4982d1bf0eca33cf6e1c511c1c1e99168a42c8a4640\",0,\"thm_14089\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014049.lean\",\"ba34c900da22f4d84b0ecaa5eeb928dc11535ccbfbd3b6f133fa36c60928fd7a\",0,\"thm_14090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258450,
+      "path": "data/train/p95/deepseek-000280-0000-fcbd1e60c620fa3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "fcbd1e60c620fa3e5b4bacd18d382a827f9a65348baf9555b1da2d9793c96992"
+    },
+    {
+      "bytes": 60591,
+      "path": "data/dev/p95/deepseek-000280-0000-78c4e3dd00f25474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "78c4e3dd00f25474f59bd99111caf2d5295d8e39b5c98d5c5c3ef766ff107679"
+    },
+    {
+      "bytes": 74502,
+      "path": "data/internal_test/p95/deepseek-000280-0000-c1edeb6328f8d7a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c1edeb6328f8d7a42036a3072131ca066ef578bdf464c17f4d922d593a9a9f80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000281.json b/manifests/batches/deepseek/000281.json
index a1a61ecc6f0b1d5ecbc0566cc7e41bfee0671c0f..5e1ba60c40ca7fd1cd567bbb954ca6dc759d359d 100644
--- a/manifests/batches/deepseek/000281.json
+++ b/manifests/batches/deepseek/000281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000281",
   "batch_fingerprint": "3c35c95042f53f45f2d87488194a4c0cd55534fea0aeeabe30c9755f6a8d5a29",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000281-0000-a00b5d117932950c.parquet",
-      "sha256": "a00b5d117932950c0887a8a38e114310f779664af94d8606469137d71a479b9d",
-      "bytes": 378180,
-      "rows": 108,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/deepseek-000281-0000-6d727cada85d4326.parquet",
-      "sha256": "6d727cada85d43263fc7cc23cf70e053c4ce2064685c654cb9045ba7713dfe0e",
-      "bytes": 45976,
-      "rows": 12,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000281-0000-c761529c0b6860b0.parquet",
-      "sha256": "c761529c0b6860b0bb934c98d3c77c35f385db5ca25dfd06e43dc91b6fc8be65",
-      "bytes": 29211,
-      "rows": 1,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14091",
     "deepseek:thm_14092",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014097.lean\",\"f134c3dc6e51fabc031c56f6b9d74b40f56580068ec06475156d288338f6cfee\",0,\"thm_14138\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014098.lean\",\"aba29d1e75f32f5bf29ba89ac54793610b5e75203fe5b2e2fea4c40ba73b8a30\",0,\"thm_14139\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014099.lean\",\"393ac26713845c2620638e412a598a172c6cae5cbe1d1ec742c01a804158c472\",0,\"thm_14140\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378180,
+      "path": "data/train/p00/deepseek-000281-0000-a00b5d117932950c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "a00b5d117932950c0887a8a38e114310f779664af94d8606469137d71a479b9d"
+    },
+    {
+      "bytes": 45976,
+      "path": "data/dev/p00/deepseek-000281-0000-6d727cada85d4326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6d727cada85d43263fc7cc23cf70e053c4ce2064685c654cb9045ba7713dfe0e"
+    },
+    {
+      "bytes": 29211,
+      "path": "data/internal_test/p00/deepseek-000281-0000-c761529c0b6860b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c761529c0b6860b0bb934c98d3c77c35f385db5ca25dfd06e43dc91b6fc8be65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000282.json b/manifests/batches/deepseek/000282.json
index 13f891709cc7ed7655233cce9c2dbf69eae5f50c..9b4b7af3df3ae3b2dd910073d8718cc00f889e6b 100644
--- a/manifests/batches/deepseek/000282.json
+++ b/manifests/batches/deepseek/000282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000282",
   "batch_fingerprint": "479f941c18085f4c33adfe3e66cef26961803a7ae180ebe6f6c44b49982532d9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000282-0000-c1141d81e5a01843.parquet",
-      "sha256": "c1141d81e5a01843372e42705cbcb9251347423db5395dc0ac631d9f7267d9d8",
-      "bytes": 1519020,
-      "rows": 108,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/deepseek-000282-0000-b7fb8556109778ef.parquet",
-      "sha256": "b7fb8556109778efacbce244aea72c0f3beb9eaa85bcdcbfd3dafc3d41b9a463",
-      "bytes": 36621,
-      "rows": 4,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/deepseek-000282-0000-7e03934aacdef9a8.parquet",
-      "sha256": "7e03934aacdef9a86d7a62ec05d8cd91234ff2a133dec591a6d7a3b51352db93",
-      "bytes": 63124,
-      "rows": 14,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14141",
     "deepseek:thm_14142",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014147.lean\",\"43527e315f580f199b9532820de2e32f2d235ba88693302e73c56f2f94047307\",0,\"thm_14189\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014148.lean\",\"a21b387621e70380fce2f3a4e7cc252b142935f91c9f548e9c6d18540be20d44\",0,\"thm_14190\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014149.lean\",\"e81e7d54afd7bdc298d20116b739421e1bc537aa4f2d4180f6223b8add499a25\",0,\"thm_14191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1519020,
+      "path": "data/train/p60/deepseek-000282-0000-c1141d81e5a01843.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "c1141d81e5a01843372e42705cbcb9251347423db5395dc0ac631d9f7267d9d8"
+    },
+    {
+      "bytes": 36621,
+      "path": "data/dev/p60/deepseek-000282-0000-b7fb8556109778ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b7fb8556109778efacbce244aea72c0f3beb9eaa85bcdcbfd3dafc3d41b9a463"
+    },
+    {
+      "bytes": 63124,
+      "path": "data/internal_test/p60/deepseek-000282-0000-7e03934aacdef9a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7e03934aacdef9a86d7a62ec05d8cd91234ff2a133dec591a6d7a3b51352db93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000283.json b/manifests/batches/deepseek/000283.json
index 78cac45ad51c3d7786974d13bca052f41a83f429..2c5b54709d946534e81defae67a9cda81d265021 100644
--- a/manifests/batches/deepseek/000283.json
+++ b/manifests/batches/deepseek/000283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000283",
   "batch_fingerprint": "ae741431567b07219a7eac75193b7f9d0afbb99a61ae4eebc11c2e4779cd37ae",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000283-0000-b5c4fd95336b9066.parquet",
-      "sha256": "b5c4fd95336b9066c9cf8a72d76e4241cc607e756bdbec13de9d4615fd73bfc5",
-      "bytes": 316452,
-      "rows": 109,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/deepseek-000283-0000-2b3524f495ccef56.parquet",
-      "sha256": "2b3524f495ccef5610cf97967ffdf96066e678e3f1686be09e42afe05f609f41",
-      "bytes": 54376,
-      "rows": 10,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000283-0000-db171f7f57601689.parquet",
-      "sha256": "db171f7f57601689bee0da2f20bb8719cbf3cd69b985f7e86d84a7b3a8f1ad34",
-      "bytes": 52815,
-      "rows": 9,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14192",
     "deepseek:thm_14193",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014197.lean\",\"dcf0ac5a21acb84ae17b13d2e7316f092f8bca6f78a33775071fd424bdd30cb4\",0,\"thm_14239\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014198.lean\",\"e811fad4863f7cb0ea778cc7ace5694140287f76a5c02bed42558908f4e25184\",0,\"thm_14240\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014199.lean\",\"2bf0cd9d22b9c154c72eaa155a1d54dc5a7105fa945ec5962075f95888f72189\",0,\"thm_14241\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316452,
+      "path": "data/train/p4b/deepseek-000283-0000-b5c4fd95336b9066.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "b5c4fd95336b9066c9cf8a72d76e4241cc607e756bdbec13de9d4615fd73bfc5"
+    },
+    {
+      "bytes": 54376,
+      "path": "data/dev/p4b/deepseek-000283-0000-2b3524f495ccef56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2b3524f495ccef5610cf97967ffdf96066e678e3f1686be09e42afe05f609f41"
+    },
+    {
+      "bytes": 52815,
+      "path": "data/internal_test/p4b/deepseek-000283-0000-db171f7f57601689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "db171f7f57601689bee0da2f20bb8719cbf3cd69b985f7e86d84a7b3a8f1ad34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000284.json b/manifests/batches/deepseek/000284.json
index fd76b0b3e99e085afad6ad63bcb2d00ef78eb9e0..62e0075498787e77c5c7b5a8c6f37dbcf8efb33e 100644
--- a/manifests/batches/deepseek/000284.json
+++ b/manifests/batches/deepseek/000284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000284",
   "batch_fingerprint": "adb70b60555bafa9c4f2b701f0088587bb0b24d14adb2fab5243b7fede67f640",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000284-0000-dd1ca8cfe11272e3.parquet",
-      "sha256": "dd1ca8cfe11272e3d4a580502850b80749c614c302dae086f4557f9c860acec6",
-      "bytes": 344235,
-      "rows": 109,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/deepseek-000284-0000-52494f45d89ea2cb.parquet",
-      "sha256": "52494f45d89ea2cbde770d6b7e559b0a33c4bba30847aece2353e94746a7af25",
-      "bytes": 30952,
-      "rows": 4,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000284-0000-ab9ae2141253ad5d.parquet",
-      "sha256": "ab9ae2141253ad5d577919edfca2146750d48df730f22fb65f9808459de81c3b",
-      "bytes": 54865,
-      "rows": 11,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14242",
     "deepseek:thm_14243",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014247.lean\",\"f7ecebd2e0f066964a73c57081be0a3764b34e14d9a425f876ae319748f83c52\",0,\"thm_14289\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014248.lean\",\"e80abe851fbe7fcda07080e9172c6b736e2bd1ea493dc3ab77b4a5ffab047f4d\",0,\"thm_14290\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014249.lean\",\"e2de12e31bfa6d521c0a776bf63ee9517f8846c593ac2157371ca671db2f3af7\",0,\"thm_14291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344235,
+      "path": "data/train/p0d/deepseek-000284-0000-dd1ca8cfe11272e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "dd1ca8cfe11272e3d4a580502850b80749c614c302dae086f4557f9c860acec6"
+    },
+    {
+      "bytes": 30952,
+      "path": "data/dev/p0d/deepseek-000284-0000-52494f45d89ea2cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "52494f45d89ea2cbde770d6b7e559b0a33c4bba30847aece2353e94746a7af25"
+    },
+    {
+      "bytes": 54865,
+      "path": "data/internal_test/p0d/deepseek-000284-0000-ab9ae2141253ad5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ab9ae2141253ad5d577919edfca2146750d48df730f22fb65f9808459de81c3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000285.json b/manifests/batches/deepseek/000285.json
index ea3806f5a449a7b5d690ae66c352fbc88c7fad8e..aa79961b78ee4391dc9d76411d992e40b9189552 100644
--- a/manifests/batches/deepseek/000285.json
+++ b/manifests/batches/deepseek/000285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000285",
   "batch_fingerprint": "77efde0ee18ae2633b76602affa87515d9dbc25eb67a7c9225d5d5fa5c12671e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000285-0000-8fd3253b68472a1c.parquet",
-      "sha256": "8fd3253b68472a1cde6423bac486da740249948dae3c5df63be91cfdcfc716c2",
-      "bytes": 318759,
-      "rows": 102,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/deepseek-000285-0000-24f766631dd5a294.parquet",
-      "sha256": "24f766631dd5a2944600b4773925efc9da74b989d2a1eb69a55b3628b6058c99",
-      "bytes": 36658,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000285-0000-d63ec5bc89ff1301.parquet",
-      "sha256": "d63ec5bc89ff13017823573230e15239de004e461b10c487e5b2fa1b4ea0e933",
-      "bytes": 54069,
-      "rows": 13,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14292",
     "deepseek:thm_14293",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014297.lean\",\"f83cc17794bbf3df305ccf9ccf06171e8b82c0ba4eaab853ca637715b9bd7f25\",0,\"thm_14339\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014298.lean\",\"18cb391b0459a40ecb5c3effc856fc6c81cf05f72c5c74dc4fbb850feb4ab89d\",0,\"thm_14340\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014299.lean\",\"d749859ea1b0dacfdb3e0f34594a69db90908698dcfc39875f7e12427efd82f5\",0,\"thm_14341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318759,
+      "path": "data/train/p9b/deepseek-000285-0000-8fd3253b68472a1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "8fd3253b68472a1cde6423bac486da740249948dae3c5df63be91cfdcfc716c2"
+    },
+    {
+      "bytes": 36658,
+      "path": "data/dev/p9b/deepseek-000285-0000-24f766631dd5a294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "24f766631dd5a2944600b4773925efc9da74b989d2a1eb69a55b3628b6058c99"
+    },
+    {
+      "bytes": 54069,
+      "path": "data/internal_test/p9b/deepseek-000285-0000-d63ec5bc89ff1301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d63ec5bc89ff13017823573230e15239de004e461b10c487e5b2fa1b4ea0e933"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000286.json b/manifests/batches/deepseek/000286.json
index 52533e3dbc5b765fb55c4bb3b3dfd83c6156ba7d..34c329298a042702361331c4d6768fea1ca364bc 100644
--- a/manifests/batches/deepseek/000286.json
+++ b/manifests/batches/deepseek/000286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000286",
   "batch_fingerprint": "417b1bca135ed817dbb4473e55d9f4fa167a7ab51908d1482525bb0e5c1b048b",
   "evidence": {
@@ -75,29 +74,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000286-0000-d1396b4fd352562e.parquet",
-      "sha256": "d1396b4fd352562e4741b4c1e86c50b7f54506e7f04dd5e87f8305729481bd40",
-      "bytes": 326505,
-      "rows": 98,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/deepseek-000286-0000-de07815d6f8ea361.parquet",
-      "sha256": "de07815d6f8ea361a4a703b521df724ad680fc2274630652a552b45d3d0c0f1c",
-      "bytes": 46779,
-      "rows": 7,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/deepseek-000286-0000-83c64ce964250d3a.parquet",
-      "sha256": "83c64ce964250d3a78f71e12780a222d85c27d028f7dafdd5836548291a46e9d",
-      "bytes": 46152,
-      "rows": 5,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14342",
     "deepseek:thm_14343",
@@ -195,5 +172,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014347.lean\",\"7214d730d1765330e3ca9759d8af0f581f062e168854e257a141ba973808549c\",0,\"thm_14389\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014348.lean\",\"c9d57c78b11588b1f0864fd7be08faabf7b2880bea6884f637bc2cf9c004c9f2\",0,\"thm_14390\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014349.lean\",\"d035cc85e8d03f9df13d5862d0c7d6623687278cff06597e4dd3653cfd8aff93\",0,\"thm_14391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326505,
+      "path": "data/train/p51/deepseek-000286-0000-d1396b4fd352562e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "d1396b4fd352562e4741b4c1e86c50b7f54506e7f04dd5e87f8305729481bd40"
+    },
+    {
+      "bytes": 46779,
+      "path": "data/dev/p51/deepseek-000286-0000-de07815d6f8ea361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "de07815d6f8ea361a4a703b521df724ad680fc2274630652a552b45d3d0c0f1c"
+    },
+    {
+      "bytes": 46152,
+      "path": "data/internal_test/p51/deepseek-000286-0000-83c64ce964250d3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "83c64ce964250d3a78f71e12780a222d85c27d028f7dafdd5836548291a46e9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000287.json b/manifests/batches/deepseek/000287.json
index 3bd9eb8b421db6e75401f938e1a6a4c50fa86067..6a3d62d9d90a81e68e7e9a7774d73845f9b6e387 100644
--- a/manifests/batches/deepseek/000287.json
+++ b/manifests/batches/deepseek/000287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000287",
   "batch_fingerprint": "af736b2925e7f827a801545db85cbe6162c7db631ad4c55f6a862af0f42b47d7",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000287-0000-74146e10a1181362.parquet",
-      "sha256": "74146e10a118136279f18136482c3f32b6ebc28edb2427034a201fa5ccf2895a",
-      "bytes": 307994,
-      "rows": 97,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/deepseek-000287-0000-7e3cf30dff93318a.parquet",
-      "sha256": "7e3cf30dff93318a08315c53724b45c7f112ad3939c7f8686eb6ccd252e6d80d",
-      "bytes": 45032,
-      "rows": 7,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/deepseek-000287-0000-caa224fea0285bcf.parquet",
-      "sha256": "caa224fea0285bcf9a7cb5cb340e8c667564e4ff85cf54493d1403e7116cbe16",
-      "bytes": 68844,
-      "rows": 18,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14392",
     "deepseek:thm_14393",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014397.lean\",\"7b18346be30324be599c4967a42d190a36a31b990cd71c0deae657da62793a8f\",0,\"thm_14439\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014398.lean\",\"ff7afc7047898247e4f1e1a6683770ad400d0e1d7200ba612833bee1748576b2\",0,\"thm_14440\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014399.lean\",\"53a4e80f283026c2a36bc57f6511d0957d7ee4ec1d7c70ab588d2e1f233d8930\",0,\"thm_14441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307994,
+      "path": "data/train/p57/deepseek-000287-0000-74146e10a1181362.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "74146e10a118136279f18136482c3f32b6ebc28edb2427034a201fa5ccf2895a"
+    },
+    {
+      "bytes": 45032,
+      "path": "data/dev/p57/deepseek-000287-0000-7e3cf30dff93318a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7e3cf30dff93318a08315c53724b45c7f112ad3939c7f8686eb6ccd252e6d80d"
+    },
+    {
+      "bytes": 68844,
+      "path": "data/internal_test/p57/deepseek-000287-0000-caa224fea0285bcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "caa224fea0285bcf9a7cb5cb340e8c667564e4ff85cf54493d1403e7116cbe16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000288.json b/manifests/batches/deepseek/000288.json
index c2c42ae5ece0f3aaad9eca7b3bfff3921487dded..028415f1fef93e4ae89819c2feb2843234411cc0 100644
--- a/manifests/batches/deepseek/000288.json
+++ b/manifests/batches/deepseek/000288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000288",
   "batch_fingerprint": "d90faab108022d1f4bab93a7319f3189de625d441af3b1ff32f51ad73144a4c6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000288-0000-185d98214b34d7d7.parquet",
-      "sha256": "185d98214b34d7d7cc957a225d4fdbef6446ccf6310fe3c04ea0b885f6a353d6",
-      "bytes": 348723,
-      "rows": 100,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/deepseek-000288-0000-c24f7459b3a191fa.parquet",
-      "sha256": "c24f7459b3a191fadf3c9e546beadc457240a77862ccebb27765329fc888f3d6",
-      "bytes": 31670,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000288-0000-d9be2cac461cdfa3.parquet",
-      "sha256": "d9be2cac461cdfa33a1d39ada54ac68d2880cbab6888338ae0f78e567e15acb1",
-      "bytes": 55440,
-      "rows": 15,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14442",
     "deepseek:thm_14443",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014447.lean\",\"443e9a48d104fbee47ac20e488fd3dcb8fc7cb8de3ce8aeeb2a209018f051bf3\",0,\"thm_14489\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014448.lean\",\"3ce4c6988627b9d34978db53e379aa7f156ead50a16e1dc0e8db39afba9118ed\",0,\"thm_14490\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014449.lean\",\"64675348c3065930cae54fd68b4a372d7ef76cb7542c672bf8cb7425ec010973\",0,\"thm_14491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348723,
+      "path": "data/train/pba/deepseek-000288-0000-185d98214b34d7d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "185d98214b34d7d7cc957a225d4fdbef6446ccf6310fe3c04ea0b885f6a353d6"
+    },
+    {
+      "bytes": 31670,
+      "path": "data/dev/pba/deepseek-000288-0000-c24f7459b3a191fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c24f7459b3a191fadf3c9e546beadc457240a77862ccebb27765329fc888f3d6"
+    },
+    {
+      "bytes": 55440,
+      "path": "data/internal_test/pba/deepseek-000288-0000-d9be2cac461cdfa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d9be2cac461cdfa33a1d39ada54ac68d2880cbab6888338ae0f78e567e15acb1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000289.json b/manifests/batches/deepseek/000289.json
index be3a8b3144d66f9c2c9d183dda0cc10c809bb7c3..52f23180d76682c7d8afa239b984f2f70353492a 100644
--- a/manifests/batches/deepseek/000289.json
+++ b/manifests/batches/deepseek/000289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000289",
   "batch_fingerprint": "b18df62e275a70ba9660e415cdb942b5abf6a729fee0a699ab3d0fd9e60e14f7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000289-0000-ed643834028df917.parquet",
-      "sha256": "ed643834028df917c292188b059d53e0d2b4a14dd1e5d335e12e276d82603376",
-      "bytes": 368075,
-      "rows": 114,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/deepseek-000289-0000-cf92a4f19de550a8.parquet",
-      "sha256": "cf92a4f19de550a8e26e99c07c100fa61577c48707f0435f88862d38dc248c48",
-      "bytes": 39784,
-      "rows": 5,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000289-0000-a56dcdeaf695e311.parquet",
-      "sha256": "a56dcdeaf695e3115f32b892ce1e64ba1ddbb2376c63f268febbb7c2b80221f9",
-      "bytes": 47284,
-      "rows": 5,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14492",
     "deepseek:thm_14493",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014497.lean\",\"e467d0fe0f282716f83ecb0d18a2de54fa4bde7e49446f9eb1ee5ccfdc25a7a1\",0,\"thm_14539\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014498.lean\",\"4f0bd201ce463d97e5cc266247f6e4487092130da9b076334ba8a4e54c992137\",0,\"thm_14540\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014499.lean\",\"55cb860f6d6820386e02fee94b6e5b5768c0ee0a9a6068e830dcf0a747e0c926\",0,\"thm_14541\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 368075,
+      "path": "data/train/p6a/deepseek-000289-0000-ed643834028df917.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "ed643834028df917c292188b059d53e0d2b4a14dd1e5d335e12e276d82603376"
+    },
+    {
+      "bytes": 39784,
+      "path": "data/dev/p6a/deepseek-000289-0000-cf92a4f19de550a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cf92a4f19de550a8e26e99c07c100fa61577c48707f0435f88862d38dc248c48"
+    },
+    {
+      "bytes": 47284,
+      "path": "data/internal_test/p6a/deepseek-000289-0000-a56dcdeaf695e311.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a56dcdeaf695e3115f32b892ce1e64ba1ddbb2376c63f268febbb7c2b80221f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000290.json b/manifests/batches/deepseek/000290.json
index d2d8a04357fa3c1ac214e9b087f705a748b6ec4a..c47c20ddbe6bdcfd5e551ea2a05a018704ba5901 100644
--- a/manifests/batches/deepseek/000290.json
+++ b/manifests/batches/deepseek/000290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000290",
   "batch_fingerprint": "63b771489eff3bb13dda5517b7db12fe0aa457c7649fab53d431b5cff154a3b7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000290-0000-b724986fc17170d2.parquet",
-      "sha256": "b724986fc17170d2a4934cfdc30468c12b5d3e7ca3f5282dcf036a7bc973e1c3",
-      "bytes": 276612,
-      "rows": 91,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/deepseek-000290-0000-28f381ffbb7faaa9.parquet",
-      "sha256": "28f381ffbb7faaa9aca3c05f0ac2395be05e4d41227458ea5ac2eaf65dc724e2",
-      "bytes": 37362,
-      "rows": 6,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000290-0000-e6a7dd2a126c6a3e.parquet",
-      "sha256": "e6a7dd2a126c6a3e0c31c13f6fba90280c2146c175a358b0d65ef59bc67780eb",
-      "bytes": 59669,
-      "rows": 15,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14542",
     "deepseek:thm_14543",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014547.lean\",\"9c1bcc719a624d9220db39fd37c4998732da55243f5a6efb409337eee0f05748\",0,\"thm_14589\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014548.lean\",\"457feb2aca04eb0f1bf3ae8d458e77d2ed6e8c052892e80afeeefdcffcda9218\",0,\"thm_14590\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014549.lean\",\"1ca0731f090e0325d8b47b17b52da61723af482e8a0be8e9fbf247b1f6a47829\",0,\"thm_14591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276612,
+      "path": "data/train/pef/deepseek-000290-0000-b724986fc17170d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "b724986fc17170d2a4934cfdc30468c12b5d3e7ca3f5282dcf036a7bc973e1c3"
+    },
+    {
+      "bytes": 37362,
+      "path": "data/dev/pef/deepseek-000290-0000-28f381ffbb7faaa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "28f381ffbb7faaa9aca3c05f0ac2395be05e4d41227458ea5ac2eaf65dc724e2"
+    },
+    {
+      "bytes": 59669,
+      "path": "data/internal_test/pef/deepseek-000290-0000-e6a7dd2a126c6a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e6a7dd2a126c6a3e0c31c13f6fba90280c2146c175a358b0d65ef59bc67780eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000291.json b/manifests/batches/deepseek/000291.json
index 582cad57867410cb5bddcf2d9df857d26616329a..416816486aad790a9f269b749bcc009a2c303954 100644
--- a/manifests/batches/deepseek/000291.json
+++ b/manifests/batches/deepseek/000291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000291",
   "batch_fingerprint": "c1bcc0eae1435cde435500cc59dce819c015db2b7c0370de837de886731d2c84",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000291-0000-dcb4b9866a198de7.parquet",
-      "sha256": "dcb4b9866a198de7f7a98eef08fdefaa40efcaa4efe7da5843bdec31c91bab0f",
-      "bytes": 318354,
-      "rows": 97,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/dev/deepseek-000291-0000-0b17db722a20c6d5.parquet",
-      "sha256": "0b17db722a20c6d5a8a528d3e674a564b6ba1a20ad266582cbc27e1292e4d582",
-      "bytes": 49616,
-      "rows": 6,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/internal_test/deepseek-000291-0000-64a6afd46e2cb6b5.parquet",
-      "sha256": "64a6afd46e2cb6b5c94fa9fb1aa7fd09134acf3176b78a63701fc1eee834dd6c",
-      "bytes": 57639,
-      "rows": 14,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14592",
     "deepseek:thm_14593",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014597.lean\",\"ac8cd91bfafe2b94b2d7dbc337297252d75b056cfb637584564a1fdc5727b36d\",0,\"thm_14639\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014598.lean\",\"7f5651ae3c8080548917b10e1eb04f662844700a9785acd1f592f71945fe8237\",0,\"thm_14640\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014599.lean\",\"dca04323b09f7a8031c5837341ba5fdd6716ab3c6981caac35ac1d7a27089514\",0,\"thm_14641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318354,
+      "path": "data/train/p86/deepseek-000291-0000-dcb4b9866a198de7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "dcb4b9866a198de7f7a98eef08fdefaa40efcaa4efe7da5843bdec31c91bab0f"
+    },
+    {
+      "bytes": 49616,
+      "path": "data/dev/p86/deepseek-000291-0000-0b17db722a20c6d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0b17db722a20c6d5a8a528d3e674a564b6ba1a20ad266582cbc27e1292e4d582"
+    },
+    {
+      "bytes": 57639,
+      "path": "data/internal_test/p86/deepseek-000291-0000-64a6afd46e2cb6b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "64a6afd46e2cb6b5c94fa9fb1aa7fd09134acf3176b78a63701fc1eee834dd6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000292.json b/manifests/batches/deepseek/000292.json
index 62a1837d5eb4b8618600d4f1f78a4991e13b479e..c60e1199b53a1e768a9c4d1d52bf6648aa26010a 100644
--- a/manifests/batches/deepseek/000292.json
+++ b/manifests/batches/deepseek/000292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000292",
   "batch_fingerprint": "e0f969a8fdb0256e1d69dc9f7b194e08537ded3f4ae8c5e61a20f5706e75b599",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000292-0000-068024db11678183.parquet",
-      "sha256": "068024db116781839f7f8a8a32f72eab220c19d4b88e80fd6d5188dfe2d0b54a",
-      "bytes": 265553,
-      "rows": 90,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/deepseek-000292-0000-74de1102aa579a8e.parquet",
-      "sha256": "74de1102aa579a8e7bae697132f9b6fad0eac4f2c09feb5b68aba722d5b51ce2",
-      "bytes": 53863,
-      "rows": 9,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000292-0000-52b5220b668021d8.parquet",
-      "sha256": "52b5220b668021d845324d320162da0436817f375224bfe6682082943fe9dce9",
-      "bytes": 50766,
-      "rows": 9,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14642",
     "deepseek:thm_14643",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014647.lean\",\"e44cb7ebbe1c498c3b4b32ea5505a2475801ffee4fa8c2fb65a078bde42902f2\",0,\"thm_14689\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014648.lean\",\"56e42912c9bf25125477b09a2156ef6aa986aff0bdf849dc9ad384ac8e1472eb\",0,\"thm_14690\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014649.lean\",\"cfb5cd04120a2c41099557391f72a9096c92c72ed86620424f7a22e682f23f22\",0,\"thm_14691\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265553,
+      "path": "data/train/pf1/deepseek-000292-0000-068024db11678183.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "068024db116781839f7f8a8a32f72eab220c19d4b88e80fd6d5188dfe2d0b54a"
+    },
+    {
+      "bytes": 53863,
+      "path": "data/dev/pf1/deepseek-000292-0000-74de1102aa579a8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "74de1102aa579a8e7bae697132f9b6fad0eac4f2c09feb5b68aba722d5b51ce2"
+    },
+    {
+      "bytes": 50766,
+      "path": "data/internal_test/pf1/deepseek-000292-0000-52b5220b668021d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "52b5220b668021d845324d320162da0436817f375224bfe6682082943fe9dce9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000293.json b/manifests/batches/deepseek/000293.json
index 339f9447a83b45694c56bb5bc863b2a528cb2c83..e9f209fb0cfefd71bb63b42acee63c5d663de743 100644
--- a/manifests/batches/deepseek/000293.json
+++ b/manifests/batches/deepseek/000293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000293",
   "batch_fingerprint": "7903418572f2c20d532d96aacadecb50cfdae9b16ef9ea0ffb2333fa87d38211",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000293-0000-750416ee2b22a57d.parquet",
-      "sha256": "750416ee2b22a57d5d5523bc81888f3d66854a1475bed6b0829c76960cef8d5e",
-      "bytes": 285395,
-      "rows": 91,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/deepseek-000293-0000-bd78ed85d885f606.parquet",
-      "sha256": "bd78ed85d885f606e9b1d70abf4d31042166cb8c4bd88bf44b7f9ed4b85284d6",
-      "bytes": 34573,
-      "rows": 9,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000293-0000-98c859fc3cdefb0e.parquet",
-      "sha256": "98c859fc3cdefb0e92840d3dece883886f6335a479e5674e4e5fbab81c421e40",
-      "bytes": 56746,
-      "rows": 13,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14692",
     "deepseek:thm_14693",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014697.lean\",\"fc5eb4dacdf85c8e162cacdae42e5ebf028b8e8eb6233376b6b6707fa49b6dc8\",0,\"thm_14739\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014698.lean\",\"ee1596b79a1d2765e0eddcb6885641fd879f0b6154e7f150fca33bc362295694\",0,\"thm_14740\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014699.lean\",\"5ba5031fe102ceed0d33769be0dfd8e8361a84b2deb639089bf9b88d5dcca05d\",0,\"thm_14741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285395,
+      "path": "data/train/p09/deepseek-000293-0000-750416ee2b22a57d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "750416ee2b22a57d5d5523bc81888f3d66854a1475bed6b0829c76960cef8d5e"
+    },
+    {
+      "bytes": 34573,
+      "path": "data/dev/p09/deepseek-000293-0000-bd78ed85d885f606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bd78ed85d885f606e9b1d70abf4d31042166cb8c4bd88bf44b7f9ed4b85284d6"
+    },
+    {
+      "bytes": 56746,
+      "path": "data/internal_test/p09/deepseek-000293-0000-98c859fc3cdefb0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "98c859fc3cdefb0e92840d3dece883886f6335a479e5674e4e5fbab81c421e40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000294.json b/manifests/batches/deepseek/000294.json
index 740b6101aecdacf36b959d275199390d1fd37bf9..0495298d6cbdae0e16ceca1e96fddf525bcda5dd 100644
--- a/manifests/batches/deepseek/000294.json
+++ b/manifests/batches/deepseek/000294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000294",
   "batch_fingerprint": "3621a1f200c5efadc7f12723995182223b47c9fde31e74eaf0be2e5756531c9a",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000294-0000-1a0ed194a1ad9259.parquet",
-      "sha256": "1a0ed194a1ad925935cad0c307a6d94212749138e7d4d77df0b63c1de23e05b7",
-      "bytes": 345884,
-      "rows": 107,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/deepseek-000294-0000-b59982f8143521a6.parquet",
-      "sha256": "b59982f8143521a6d868b482e89f7433edb0b44ebbd359378c854d2be3205d4a",
-      "bytes": 35236,
-      "rows": 2,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000294-0000-b4a827ac71371fe6.parquet",
-      "sha256": "b4a827ac71371fe66a950b46f2bd12ae66f68c4bcff1a0fd150a3d4cdee807dd",
-      "bytes": 51077,
-      "rows": 6,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14742",
     "deepseek:thm_14743",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014747.lean\",\"41c55a52387e3cd2fa1e7c7eed4646b5a7c736ba593ae694a7a54cfaa0fa076d\",0,\"thm_14789\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014748.lean\",\"b7d108b14f39346279d361ec2623d13fcc65b30c07b45ac68978fb6aaad707fb\",0,\"thm_14790\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014749.lean\",\"525ea761591cf0152961bc3809050f63ed25c94d09926393c7ec4560ce9521fe\",0,\"thm_14791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345884,
+      "path": "data/train/pe8/deepseek-000294-0000-1a0ed194a1ad9259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "1a0ed194a1ad925935cad0c307a6d94212749138e7d4d77df0b63c1de23e05b7"
+    },
+    {
+      "bytes": 35236,
+      "path": "data/dev/pe8/deepseek-000294-0000-b59982f8143521a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b59982f8143521a6d868b482e89f7433edb0b44ebbd359378c854d2be3205d4a"
+    },
+    {
+      "bytes": 51077,
+      "path": "data/internal_test/pe8/deepseek-000294-0000-b4a827ac71371fe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b4a827ac71371fe66a950b46f2bd12ae66f68c4bcff1a0fd150a3d4cdee807dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000295.json b/manifests/batches/deepseek/000295.json
index 3ad78f67ac664e4d711db99b29a165dd3893976e..c3024fb34f9b3dd1b1c1aacdc853ad6ce28c2ce2 100644
--- a/manifests/batches/deepseek/000295.json
+++ b/manifests/batches/deepseek/000295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000295",
   "batch_fingerprint": "8c6e97bf161530a930fa8a0393acc991387e681142b237d5fd571047a5cd7e1c",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000295-0000-0c73cf379a2d4724.parquet",
-      "sha256": "0c73cf379a2d4724d6d4434a84bbe7ebae6e0a7b52bdb63073f0a06808f7124f",
-      "bytes": 266169,
-      "rows": 94,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/dev/deepseek-000295-0000-95af04260372d078.parquet",
-      "sha256": "95af04260372d0783d7e317519086d8ccc101511e8cd69194e94d850da8069ad",
-      "bytes": 50359,
-      "rows": 7,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/internal_test/deepseek-000295-0000-eb5bd81087c846b0.parquet",
-      "sha256": "eb5bd81087c846b013c23930538bf63e20cd6f8d3383a0738a02343813fc654d",
-      "bytes": 51428,
-      "rows": 13,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14792",
     "deepseek:thm_14793",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014797.lean\",\"c1d1223589fd7522740f3b92890f732f4dc7d5a68a3f86dc296292934141030a\",0,\"thm_14839\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014798.lean\",\"65a5718a034ae2b2209ab915ab64299e8b5036c07ea684020803ce498711ac99\",0,\"thm_14840\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014799.lean\",\"d7aafdafd55e8c77d6c9bac2fa432ae623105b09808c2d6366b5937db357ce6e\",0,\"thm_14841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266169,
+      "path": "data/train/p08/deepseek-000295-0000-0c73cf379a2d4724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "0c73cf379a2d4724d6d4434a84bbe7ebae6e0a7b52bdb63073f0a06808f7124f"
+    },
+    {
+      "bytes": 50359,
+      "path": "data/dev/p08/deepseek-000295-0000-95af04260372d078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "95af04260372d0783d7e317519086d8ccc101511e8cd69194e94d850da8069ad"
+    },
+    {
+      "bytes": 51428,
+      "path": "data/internal_test/p08/deepseek-000295-0000-eb5bd81087c846b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "eb5bd81087c846b013c23930538bf63e20cd6f8d3383a0738a02343813fc654d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000296.json b/manifests/batches/deepseek/000296.json
index fede1b6c9982bc0491cce08e5b58c33507673afc..e13abba4d52542a90ba9bc263e67f87d966023b6 100644
--- a/manifests/batches/deepseek/000296.json
+++ b/manifests/batches/deepseek/000296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000296",
   "batch_fingerprint": "2fb263f6e137f33cc15e7acd732cf42c35c8a78cba0c1b70018bf41d17b35d5a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000296-0000-b20dcd373773c217.parquet",
-      "sha256": "b20dcd373773c2179a18cf73d2a49a2c4fd0a4600a0cc586d91e62d04fa9e379",
-      "bytes": 288569,
-      "rows": 89,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/deepseek-000296-0000-69924f828d2f6696.parquet",
-      "sha256": "69924f828d2f6696fa847f5d7fbe4806751106a72a185536c50265a5d052e992",
-      "bytes": 33523,
-      "rows": 4,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000296-0000-872108f36b5ec833.parquet",
-      "sha256": "872108f36b5ec83392af8dea682f804215e4d8b81b0f44fd9aca60a77241da4b",
-      "bytes": 74831,
-      "rows": 19,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14842",
     "deepseek:thm_14843",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014847.lean\",\"5c8ba1e276ae00af6331c41111f6e7b401d895f500557d4416347319ce876477\",0,\"thm_14889\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014848.lean\",\"794774a3da51ccc05d80aece908d0b9e2fb7418cdd55c8eb55dd1a40c2edebea\",0,\"thm_14890\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014849.lean\",\"70adaef4e5859ddca58b8aea51c988a5eab78f58b82176e4b2a32acf4bdabd48\",0,\"thm_14891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288569,
+      "path": "data/train/p7d/deepseek-000296-0000-b20dcd373773c217.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "b20dcd373773c2179a18cf73d2a49a2c4fd0a4600a0cc586d91e62d04fa9e379"
+    },
+    {
+      "bytes": 33523,
+      "path": "data/dev/p7d/deepseek-000296-0000-69924f828d2f6696.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "69924f828d2f6696fa847f5d7fbe4806751106a72a185536c50265a5d052e992"
+    },
+    {
+      "bytes": 74831,
+      "path": "data/internal_test/p7d/deepseek-000296-0000-872108f36b5ec833.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "872108f36b5ec83392af8dea682f804215e4d8b81b0f44fd9aca60a77241da4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000297.json b/manifests/batches/deepseek/000297.json
index b96ebda0f44ebde425f3d088e1f311d348df100c..3c9dbe326d2c97476e600f4a2c59f8627b6c632e 100644
--- a/manifests/batches/deepseek/000297.json
+++ b/manifests/batches/deepseek/000297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000297",
   "batch_fingerprint": "1a844018e344e95e4e81e1532ecd6b29f0f37ab60614ea7e4df10ec49a545be6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000297-0000-25aa8907b7b90c0b.parquet",
-      "sha256": "25aa8907b7b90c0b58b4fd8adf8f7a2b299bc3ef135f2b29e47383fbea2c83f4",
-      "bytes": 350305,
-      "rows": 121,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000297-0000-fddc43ca9fd8ee96.parquet",
-      "sha256": "fddc43ca9fd8ee96de9843361d3b7d9f63fa975923253079379ddf12e74e922a",
-      "bytes": 38978,
-      "rows": 6,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14892",
     "deepseek:thm_14893",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014897.lean\",\"6231fe3fdd4c584f3d4b905e885ce34691bb227d2647d23c6dc12fb8e2c40e12\",0,\"thm_14939\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014898.lean\",\"be9305698446163f0dc0eea6f479d0f3c623bb133032c536fc457b0afd9150a5\",0,\"thm_14940\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014899.lean\",\"5631c60d8f933ad09bb522e47258d8b7ec0db7a7b0f169aae036aa4716247aac\",0,\"thm_14941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350305,
+      "path": "data/train/p1e/deepseek-000297-0000-25aa8907b7b90c0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 121,
+      "sha256": "25aa8907b7b90c0b58b4fd8adf8f7a2b299bc3ef135f2b29e47383fbea2c83f4"
+    },
+    {
+      "bytes": 38978,
+      "path": "data/internal_test/p1e/deepseek-000297-0000-fddc43ca9fd8ee96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fddc43ca9fd8ee96de9843361d3b7d9f63fa975923253079379ddf12e74e922a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000298.json b/manifests/batches/deepseek/000298.json
index 2fc972061f30a0d7583e48fc91b7b5f044b5935e..0749befe87fa3319a05f51cb9252cdd0db3e6f03 100644
--- a/manifests/batches/deepseek/000298.json
+++ b/manifests/batches/deepseek/000298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000298",
   "batch_fingerprint": "757a2248d0dd4d9071ccb8f4e230c040cf91e781312bb3c6c93d81656d10316c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000298-0000-f052093fa9df1610.parquet",
-      "sha256": "f052093fa9df16106c99de4d9380a4bcdde65ede6e5fc44fc9c0d66424e84c40",
-      "bytes": 359132,
-      "rows": 119,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/deepseek-000298-0000-88eaab0100889a91.parquet",
-      "sha256": "88eaab0100889a914c83a207089e50d89b42fe2d3ea3120499eaf4b73a09f8f5",
-      "bytes": 41609,
-      "rows": 3,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000298-0000-2b24f152421cda08.parquet",
-      "sha256": "2b24f152421cda08f25c4c428abfbca7910168fce9da5af8042e2e1e14436f22",
-      "bytes": 44249,
-      "rows": 10,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14942",
     "deepseek:thm_14943",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014947.lean\",\"59562968e761ca6419e47a4dbacd85b0cf6db73d964a48fa66965030ff9831a5\",0,\"thm_14989\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014948.lean\",\"836885b6f10bd1a89a01d4aae60d6602d348d7c79294c34ef5706ba62ac0d151\",0,\"thm_14990\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014949.lean\",\"f5c0669edb6d0f413872c9d418a50bcbfcd25df3d5e4b90cb132df02e9bcfae7\",0,\"thm_14991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359132,
+      "path": "data/train/pd3/deepseek-000298-0000-f052093fa9df1610.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "f052093fa9df16106c99de4d9380a4bcdde65ede6e5fc44fc9c0d66424e84c40"
+    },
+    {
+      "bytes": 41609,
+      "path": "data/dev/pd3/deepseek-000298-0000-88eaab0100889a91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88eaab0100889a914c83a207089e50d89b42fe2d3ea3120499eaf4b73a09f8f5"
+    },
+    {
+      "bytes": 44249,
+      "path": "data/internal_test/pd3/deepseek-000298-0000-2b24f152421cda08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2b24f152421cda08f25c4c428abfbca7910168fce9da5af8042e2e1e14436f22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000299.json b/manifests/batches/deepseek/000299.json
index e26a8ead4808a34636a76123e3c72666adafc55d..b36467a5127b7be00b515013febbe25b88583b03 100644
--- a/manifests/batches/deepseek/000299.json
+++ b/manifests/batches/deepseek/000299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000299",
   "batch_fingerprint": "8e61686ef44be7e463c1c5ae4d08721d0a881bd8c5a624b0708cad9e7de8215e",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000299-0000-d16cdea16433bdb5.parquet",
-      "sha256": "d16cdea16433bdb5ef52dbf48e4f8de08089a9ff4c206b3e255d93d0d9ff5dac",
-      "bytes": 291804,
-      "rows": 99,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/dev/deepseek-000299-0000-c5eb695fbcd33ccc.parquet",
-      "sha256": "c5eb695fbcd33cccb14347c8a1c1c7f1615e0b011ec26e4549ab061bc7ae50b1",
-      "bytes": 73774,
-      "rows": 8,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000299-0000-63cdd5b157d5e555.parquet",
-      "sha256": "63cdd5b157d5e555fb949ecb43253489ba3390ca2904d5357f8a069293a3b8ad",
-      "bytes": 44783,
-      "rows": 8,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_14992",
     "deepseek:thm_14993",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014997.lean\",\"d0f4d954ab82eb82e635586a23f04784862ea7be7405f1438baea538d0e29ce0\",0,\"thm_15039\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014998.lean\",\"4fd87c3e7c6d0d1d19f76b75759c7a82430fb1840fe034512d3b5eaf0cbc316c\",0,\"thm_15040\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_014999.lean\",\"80261a3c37d4b024430c84d6e39847e571131ebfb0db01695cdf218ac99fc14b\",0,\"thm_15041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291804,
+      "path": "data/train/p87/deepseek-000299-0000-d16cdea16433bdb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "d16cdea16433bdb5ef52dbf48e4f8de08089a9ff4c206b3e255d93d0d9ff5dac"
+    },
+    {
+      "bytes": 73774,
+      "path": "data/dev/p87/deepseek-000299-0000-c5eb695fbcd33ccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c5eb695fbcd33cccb14347c8a1c1c7f1615e0b011ec26e4549ab061bc7ae50b1"
+    },
+    {
+      "bytes": 44783,
+      "path": "data/internal_test/p87/deepseek-000299-0000-63cdd5b157d5e555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "63cdd5b157d5e555fb949ecb43253489ba3390ca2904d5357f8a069293a3b8ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000300.json b/manifests/batches/deepseek/000300.json
index 66cf080cae623d16ba54f00427901647aaf4ca11..651e826f37efa5442baa691cfa06ab45f61a2868 100644
--- a/manifests/batches/deepseek/000300.json
+++ b/manifests/batches/deepseek/000300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000300",
   "batch_fingerprint": "7b58aacb02307c9b2bbc771ba5c84d466125937eca792a31ae9ade6005d322df",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000300-0000-9688d0a560f54b50.parquet",
-      "sha256": "9688d0a560f54b506bb4eaa0ef09e8ecfee78a093fa11044affafa18bbd2db3c",
-      "bytes": 313576,
-      "rows": 101,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/deepseek-000300-0000-e70a7d01633d726c.parquet",
-      "sha256": "e70a7d01633d726c30f4a3ce99d6cc3fc0fbedc4d9c23c2081bc82adca935c39",
-      "bytes": 26921,
-      "rows": 2,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000300-0000-09cf1d499a337c7b.parquet",
-      "sha256": "09cf1d499a337c7b077c0a761b6622042dcdb7c42c2d058d123ff5589b9a88b9",
-      "bytes": 63445,
-      "rows": 16,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15042",
     "deepseek:thm_15043",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015047.lean\",\"5df1cf33e8a2bdd1699398ac63c2ce65100e78f79be4fb55771a1c837ed9069e\",0,\"thm_15089\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015048.lean\",\"1d62e1c1822ed42c2a0638a03cb19d98dcc147b08949c340282b349c8362d2c5\",0,\"thm_15090\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015049.lean\",\"65286bb31eab9a653c87ed7e5bfc05ebb7017372789844a0bb038040d0544fc3\",0,\"thm_15091\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313576,
+      "path": "data/train/pc5/deepseek-000300-0000-9688d0a560f54b50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "9688d0a560f54b506bb4eaa0ef09e8ecfee78a093fa11044affafa18bbd2db3c"
+    },
+    {
+      "bytes": 26921,
+      "path": "data/dev/pc5/deepseek-000300-0000-e70a7d01633d726c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e70a7d01633d726c30f4a3ce99d6cc3fc0fbedc4d9c23c2081bc82adca935c39"
+    },
+    {
+      "bytes": 63445,
+      "path": "data/internal_test/pc5/deepseek-000300-0000-09cf1d499a337c7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "09cf1d499a337c7b077c0a761b6622042dcdb7c42c2d058d123ff5589b9a88b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000301.json b/manifests/batches/deepseek/000301.json
index bb396d6978c1ebc9f91b3891d260fcfc8da53029..c759a782ea3f61f7c9873608e342bf240c373236 100644
--- a/manifests/batches/deepseek/000301.json
+++ b/manifests/batches/deepseek/000301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000301",
   "batch_fingerprint": "a2dd6bb9a111adbf8bec37c4ae187071b9fdc83098fa68a32bee2623ad525f11",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000301-0000-166ec2a0a5c15109.parquet",
-      "sha256": "166ec2a0a5c151096b5ec0ae13dc113e491874f42ff11347579077130a5a7995",
-      "bytes": 375175,
-      "rows": 104,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/deepseek-000301-0000-fd02b6280bf92769.parquet",
-      "sha256": "fd02b6280bf9276985b9a3f8caec5db0515fd59d0de5772ebb90473d90fa605a",
-      "bytes": 41264,
-      "rows": 5,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000301-0000-f3807a38830ef9c7.parquet",
-      "sha256": "f3807a38830ef9c75228f9a44eecb5ff1a1bca0e674f4921a924fcda4311a613",
-      "bytes": 46152,
-      "rows": 9,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15092",
     "deepseek:thm_15093",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015097.lean\",\"aace0af33da162ff65914fe7d55e1de7942f9a0e5621002b847f31d42472e952\",0,\"thm_15139\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015098.lean\",\"3994cd3efe61bde05d267c58a0d90e8fa27af2fa7c0367d5b9c338a9813e0fdf\",0,\"thm_15140\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015099.lean\",\"728418d0800a5be0578ed3d3a169725ad76c60fe4dd641e9b4b11fd510efb12c\",0,\"thm_15141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375175,
+      "path": "data/train/p17/deepseek-000301-0000-166ec2a0a5c15109.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "166ec2a0a5c151096b5ec0ae13dc113e491874f42ff11347579077130a5a7995"
+    },
+    {
+      "bytes": 41264,
+      "path": "data/dev/p17/deepseek-000301-0000-fd02b6280bf92769.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fd02b6280bf9276985b9a3f8caec5db0515fd59d0de5772ebb90473d90fa605a"
+    },
+    {
+      "bytes": 46152,
+      "path": "data/internal_test/p17/deepseek-000301-0000-f3807a38830ef9c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f3807a38830ef9c75228f9a44eecb5ff1a1bca0e674f4921a924fcda4311a613"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000302.json b/manifests/batches/deepseek/000302.json
index aaec17dc135bb928e2d56763949068889934a9f0..7ec920be5ee242b485305c1cb959fb89dd477e9a 100644
--- a/manifests/batches/deepseek/000302.json
+++ b/manifests/batches/deepseek/000302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000302",
   "batch_fingerprint": "39c3a2e4437f6fb0015e5cf52c1f907844b58d5852d6cfb4ca7f9247584d388e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000302-0000-ca047a85f07b538e.parquet",
-      "sha256": "ca047a85f07b538e98b9179eef9ae63891dcdf7ea7ae9d046ac277cbbf3a546a",
-      "bytes": 280047,
-      "rows": 92,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/dev/deepseek-000302-0000-d4e923cc2ff44626.parquet",
-      "sha256": "d4e923cc2ff44626361c043a6b4e81a6bfba916bd180729cc5e0154695bb47bd",
-      "bytes": 29883,
-      "rows": 5,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000302-0000-513ad9572fc829c2.parquet",
-      "sha256": "513ad9572fc829c24da3382cefdf825ca211c8fcedef46c6e0def22b9ea3692e",
-      "bytes": 68560,
-      "rows": 17,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15142",
     "deepseek:thm_15143",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015147.lean\",\"21ba4058311f4bf1b2a4e268ba23611132957e932dbd1ee1064e00bb8d4968dc\",0,\"thm_15189\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015148.lean\",\"dfe1308b6375fa79f12d8d6451a497529bec0e4e4ea1a869c28ef38a4c05670e\",0,\"thm_15190\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015149.lean\",\"7c6b6f543c598ac2c3a31d4fcffb9ac41d12b96154b92832ac8186c19ea4b3be\",0,\"thm_15191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280047,
+      "path": "data/train/pc2/deepseek-000302-0000-ca047a85f07b538e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "ca047a85f07b538e98b9179eef9ae63891dcdf7ea7ae9d046ac277cbbf3a546a"
+    },
+    {
+      "bytes": 29883,
+      "path": "data/dev/pc2/deepseek-000302-0000-d4e923cc2ff44626.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d4e923cc2ff44626361c043a6b4e81a6bfba916bd180729cc5e0154695bb47bd"
+    },
+    {
+      "bytes": 68560,
+      "path": "data/internal_test/pc2/deepseek-000302-0000-513ad9572fc829c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "513ad9572fc829c24da3382cefdf825ca211c8fcedef46c6e0def22b9ea3692e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000303.json b/manifests/batches/deepseek/000303.json
index e6db88684810e9b52ea220590e20bad79da8ad1f..8d53d699fa1cfbf1256008197f9135b2b49badbd 100644
--- a/manifests/batches/deepseek/000303.json
+++ b/manifests/batches/deepseek/000303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000303",
   "batch_fingerprint": "ba2ebbb6274eec8b1cbecaee963f0eb276751f2f3ec03864f14817e85952b5a4",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000303-0000-06f291bfc71fac31.parquet",
-      "sha256": "06f291bfc71fac31b503c435e26eb270e61abbbc2a6cd67c8d09af2d33a2d4df",
-      "bytes": 340998,
-      "rows": 109,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/deepseek-000303-0000-80473bd5aec8016d.parquet",
-      "sha256": "80473bd5aec8016d80dac5328930614e835e3f7d42b6c6df658a4814eb19fa8a",
-      "bytes": 26241,
-      "rows": 1,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000303-0000-14eadc6e2aec37c3.parquet",
-      "sha256": "14eadc6e2aec37c37c0f7c853c65b9d164cf0082734a0aee34251ded5f8ef19b",
-      "bytes": 57444,
-      "rows": 10,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15192",
     "deepseek:thm_15193",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015197.lean\",\"549245000092e23d65b65f727267d99d25594111a0fc21cf13279aff2060de00\",0,\"thm_15239\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015198.lean\",\"425ff2ed2d8158a64f067a26d77ef9bbe5a0fcf84e2ba6c2e66288e6af8b1acf\",0,\"thm_15240\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015199.lean\",\"a6ff22e5bb6d9b0bf504c2211d5abbb5cb4eb80e5313fb970a752ed7ce9806cf\",0,\"thm_15241\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340998,
+      "path": "data/train/p1f/deepseek-000303-0000-06f291bfc71fac31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "06f291bfc71fac31b503c435e26eb270e61abbbc2a6cd67c8d09af2d33a2d4df"
+    },
+    {
+      "bytes": 26241,
+      "path": "data/dev/p1f/deepseek-000303-0000-80473bd5aec8016d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "80473bd5aec8016d80dac5328930614e835e3f7d42b6c6df658a4814eb19fa8a"
+    },
+    {
+      "bytes": 57444,
+      "path": "data/internal_test/p1f/deepseek-000303-0000-14eadc6e2aec37c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "14eadc6e2aec37c37c0f7c853c65b9d164cf0082734a0aee34251ded5f8ef19b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000304.json b/manifests/batches/deepseek/000304.json
index a11a49dce07f7e33233e0848a5627bd1d9461b9f..5afcf47186d1161afc3972b29791420d64efca38 100644
--- a/manifests/batches/deepseek/000304.json
+++ b/manifests/batches/deepseek/000304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000304",
   "batch_fingerprint": "301ad31812fb8bbb0854d0a1efba5524e9b383d8ab56b1dd39a5d94891772ba8",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000304-0000-7b21985b18b08a99.parquet",
-      "sha256": "7b21985b18b08a99f70c1b05592cce64e934e74764a0b55ea0768c3e992f648e",
-      "bytes": 340668,
-      "rows": 105,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000304-0000-93bfbbc47d9de88b.parquet",
-      "sha256": "93bfbbc47d9de88b450293589793572896131e2fd3eef0e0a46a1390a39ed043",
-      "bytes": 48055,
-      "rows": 11,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15242",
     "deepseek:thm_15243",
@@ -171,5 +155,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015247.lean\",\"52b245a97ce01ba16d3c8958b4041c557486307ca20397cf7a396937a3d18865\",0,\"thm_15289\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015248.lean\",\"d071a47a1819d1d6fae4846b82445263b43fee6ed2890723c5fc129675136ea8\",0,\"thm_15290\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015249.lean\",\"6eb028b43c26e61232e948275899436b86ee42466fef746a109d167643ed3546\",0,\"thm_15291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340668,
+      "path": "data/train/p4c/deepseek-000304-0000-7b21985b18b08a99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "7b21985b18b08a99f70c1b05592cce64e934e74764a0b55ea0768c3e992f648e"
+    },
+    {
+      "bytes": 48055,
+      "path": "data/internal_test/p4c/deepseek-000304-0000-93bfbbc47d9de88b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "93bfbbc47d9de88b450293589793572896131e2fd3eef0e0a46a1390a39ed043"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000305.json b/manifests/batches/deepseek/000305.json
index c5cf42f66dace425d0fb7858f527ae7ad6b4b5b5..9af26be96f1b8086dfac654cce50ed5dfd1b74ce 100644
--- a/manifests/batches/deepseek/000305.json
+++ b/manifests/batches/deepseek/000305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000305",
   "batch_fingerprint": "347bf1124e08f775278adef8ec1742ca0ac57967fc2a0e4d8e5bcafcb7dd4f0a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000305-0000-3d83a20d6ee8cba1.parquet",
-      "sha256": "3d83a20d6ee8cba16d045d105106b9b14adbccc7e7d20d0330478d15f1ca58d1",
-      "bytes": 300916,
-      "rows": 98,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/deepseek-000305-0000-7f65215cd019d1c9.parquet",
-      "sha256": "7f65215cd019d1c9ead494dbaca6f425f0aa1410a09cdc7ca5086e7ea9c44f1f",
-      "bytes": 74490,
-      "rows": 19,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000305-0000-0ebf5dbaa3719529.parquet",
-      "sha256": "0ebf5dbaa37195291acb1e5a954aea7e1242d8ed7b00107375207b2474d52905",
-      "bytes": 53939,
-      "rows": 12,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15292",
     "deepseek:thm_15293",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015297.lean\",\"1325f28b1a5fc8215641de1955c09ac0c36d015cb8d374e41d93f43d6c91bd1d\",0,\"thm_15339\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015298.lean\",\"75fa29576fd8ea109008629f99fe31f25e8346de5f6bec184599c71621a2c6f1\",0,\"thm_15340\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015299.lean\",\"37e55203b2e1523fb8017b04003de864f0cf3a5cd2c80f0306f6f1cfdb31a41a\",0,\"thm_15341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300916,
+      "path": "data/train/p24/deepseek-000305-0000-3d83a20d6ee8cba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "3d83a20d6ee8cba16d045d105106b9b14adbccc7e7d20d0330478d15f1ca58d1"
+    },
+    {
+      "bytes": 74490,
+      "path": "data/dev/p24/deepseek-000305-0000-7f65215cd019d1c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7f65215cd019d1c9ead494dbaca6f425f0aa1410a09cdc7ca5086e7ea9c44f1f"
+    },
+    {
+      "bytes": 53939,
+      "path": "data/internal_test/p24/deepseek-000305-0000-0ebf5dbaa3719529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0ebf5dbaa37195291acb1e5a954aea7e1242d8ed7b00107375207b2474d52905"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000306.json b/manifests/batches/deepseek/000306.json
index 56b87c2477f48ed186c6b95e9f15a3b5033f0a6c..c79358cc59691ab60eafdf3818f9f41082435cdb 100644
--- a/manifests/batches/deepseek/000306.json
+++ b/manifests/batches/deepseek/000306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000306",
   "batch_fingerprint": "25c9480dca54a5716fc1c117cd5c36b822591f1f986daff6f9228be8f312e075",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000306-0000-5c81d134a1c4d45e.parquet",
-      "sha256": "5c81d134a1c4d45e5eac589fccfa1803db3d324cb39a579cad52bea48579a768",
-      "bytes": 347017,
-      "rows": 105,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/dev/deepseek-000306-0000-cd286d51ec52dffb.parquet",
-      "sha256": "cd286d51ec52dffbc2f3a23288298aac56fd31c798583f4d881e62872a5e595b",
-      "bytes": 45094,
-      "rows": 9,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000306-0000-6d69e9ec17fc780c.parquet",
-      "sha256": "6d69e9ec17fc780c18bcbf13d2ed842c792d6f93792497258e2426fce7fc5af5",
-      "bytes": 43543,
-      "rows": 8,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15342",
     "deepseek:thm_15343",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015347.lean\",\"ad00052b63bdba46600140faac4db8c1f783ec4a2c68b637826ac4e8bd7c9a35\",0,\"thm_15389\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015348.lean\",\"323d004b64071f41c2d9ed7ab49879421c909d0ebb2a2d449bc14378fda2ecc8\",0,\"thm_15390\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015349.lean\",\"da6c7c1bc5f6e2c723bb11655364ffb4f96fe0036bc1a544752ba40bfcfef284\",0,\"thm_15391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347017,
+      "path": "data/train/p83/deepseek-000306-0000-5c81d134a1c4d45e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "5c81d134a1c4d45e5eac589fccfa1803db3d324cb39a579cad52bea48579a768"
+    },
+    {
+      "bytes": 45094,
+      "path": "data/dev/p83/deepseek-000306-0000-cd286d51ec52dffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cd286d51ec52dffbc2f3a23288298aac56fd31c798583f4d881e62872a5e595b"
+    },
+    {
+      "bytes": 43543,
+      "path": "data/internal_test/p83/deepseek-000306-0000-6d69e9ec17fc780c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6d69e9ec17fc780c18bcbf13d2ed842c792d6f93792497258e2426fce7fc5af5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000307.json b/manifests/batches/deepseek/000307.json
index 228a54e3acd8d9df754b491b54c75b148e430a60..0d3733d674b272c383330dc2784c4c0a35e5e17e 100644
--- a/manifests/batches/deepseek/000307.json
+++ b/manifests/batches/deepseek/000307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000307",
   "batch_fingerprint": "5dcdf01c9ab6341132bc0d3ba2bfe023a78863fbaae5bfd2cfebe48e1d71b258",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000307-0000-ce45d5238bb902a2.parquet",
-      "sha256": "ce45d5238bb902a2771b308071658b254fee08c6701205b0d821ee9876968cab",
-      "bytes": 306910,
-      "rows": 92,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    },
-    {
-      "path": "data/dev/deepseek-000307-0000-830a1e08f455d52a.parquet",
-      "sha256": "830a1e08f455d52a6b52db3e53c1caec9856b39d0964b6c06fd8b4c528556264",
-      "bytes": 53011,
-      "rows": 9,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    },
-    {
-      "path": "data/internal_test/deepseek-000307-0000-b8ec9ce10a72ec3f.parquet",
-      "sha256": "b8ec9ce10a72ec3fd68e97b6eca3129f9c8d2d84a9f4bfe2158b929f7f4d6506",
-      "bytes": 48753,
-      "rows": 12,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15392",
     "deepseek:thm_15393",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015397.lean\",\"ed8e69da08570b44d6aa1e72f0d76c96ffe0fa6bf9e3649d86682ec0d2119404\",0,\"thm_15439\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015398.lean\",\"959a2956ef79b72bff67e4928ad7189f60ec7191622aa7d002b55e92a1b2a184\",0,\"thm_15440\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015399.lean\",\"37fdf8d1067f65a73df84a1f6e5ebc918c56700cbbad0b70441dddab7bd2a799\",0,\"thm_15441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306910,
+      "path": "data/train/p42/deepseek-000307-0000-ce45d5238bb902a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "ce45d5238bb902a2771b308071658b254fee08c6701205b0d821ee9876968cab"
+    },
+    {
+      "bytes": 53011,
+      "path": "data/dev/p42/deepseek-000307-0000-830a1e08f455d52a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "830a1e08f455d52a6b52db3e53c1caec9856b39d0964b6c06fd8b4c528556264"
+    },
+    {
+      "bytes": 48753,
+      "path": "data/internal_test/p42/deepseek-000307-0000-b8ec9ce10a72ec3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b8ec9ce10a72ec3fd68e97b6eca3129f9c8d2d84a9f4bfe2158b929f7f4d6506"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000308.json b/manifests/batches/deepseek/000308.json
index efac3894a47ed8017b846b90e13d592266c75bb2..deabc5428b6d8d7a7cfcf89d66527a620ec2e58d 100644
--- a/manifests/batches/deepseek/000308.json
+++ b/manifests/batches/deepseek/000308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000308",
   "batch_fingerprint": "f45774ba8cb36d2d247d75d1f6770d5d72b4eb2202915bb220e3d51c1ec28324",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000308-0000-34ffda329720007c.parquet",
-      "sha256": "34ffda329720007c75143889e1dbb3e40b10140ffc1b7f39bd271a31d0c6c870",
-      "bytes": 323618,
-      "rows": 97,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/dev/deepseek-000308-0000-8c3a78e21f8a2703.parquet",
-      "sha256": "8c3a78e21f8a2703e13b773642d425b0e85f04419b3cc8a3bcb7176d6a16673d",
-      "bytes": 26657,
-      "rows": 1,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000308-0000-d9a1e25fd41f6c66.parquet",
-      "sha256": "d9a1e25fd41f6c661464ff6b1954462373a90906ce022aea79c4eefc79e934c7",
-      "bytes": 72034,
-      "rows": 16,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15442",
     "deepseek:thm_15443",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015447.lean\",\"e2c7331cec9eed54a3703a55bad1111c00cd23ac1e38f9b4aa8c24ae34f1e368\",0,\"thm_15490\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015448.lean\",\"214df1aa936d73d93ad058a7b8e939940ea791bf402c5762c65f2b014d4e69ce\",0,\"thm_15491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015449.lean\",\"7c0bcfdf2ceb433e1dce9d5c6f4935dff2e10be38eef108c722367aea78401a2\",0,\"thm_15492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323618,
+      "path": "data/train/paf/deepseek-000308-0000-34ffda329720007c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "34ffda329720007c75143889e1dbb3e40b10140ffc1b7f39bd271a31d0c6c870"
+    },
+    {
+      "bytes": 26657,
+      "path": "data/dev/paf/deepseek-000308-0000-8c3a78e21f8a2703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8c3a78e21f8a2703e13b773642d425b0e85f04419b3cc8a3bcb7176d6a16673d"
+    },
+    {
+      "bytes": 72034,
+      "path": "data/internal_test/paf/deepseek-000308-0000-d9a1e25fd41f6c66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d9a1e25fd41f6c661464ff6b1954462373a90906ce022aea79c4eefc79e934c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000309.json b/manifests/batches/deepseek/000309.json
index 2042f80b88aee5b164ca022ef00d663851259594..5664cd7b2c2232d715e2d4ca0a6dbf8ced498aa4 100644
--- a/manifests/batches/deepseek/000309.json
+++ b/manifests/batches/deepseek/000309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000309",
   "batch_fingerprint": "1bb8e95dc0877de9bb64e14c23893628074b6e8b3dad202c49d1fd83b1220029",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000309-0000-a6dfd41c1721d1f1.parquet",
-      "sha256": "a6dfd41c1721d1f174b7241ed7e089afc7fa67fd2d74a025f5c0b1869314ba70",
-      "bytes": 311411,
-      "rows": 111,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/deepseek-000309-0000-853672bae4a0f653.parquet",
-      "sha256": "853672bae4a0f653c98e290574600638fe12ebbc11a28998b4294b01fc3dad96",
-      "bytes": 29842,
-      "rows": 2,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000309-0000-f6e8d67555058443.parquet",
-      "sha256": "f6e8d67555058443d6d19b90aa7939ddb9fe8a6d298e25d41172894bec657aa2",
-      "bytes": 73317,
-      "rows": 24,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15493",
     "deepseek:thm_15494",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015497.lean\",\"758bd3dffa9228f671b4cac62747a3d560b3d9c1210f69dd6c413b814c37e530\",0,\"thm_15540\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015498.lean\",\"c55545eb75ef3ed5e27a9ec2643c60175303ab579dccd488e6139b5139f941c4\",0,\"thm_15541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015499.lean\",\"efe23419d08ce1ae4bdda4918c00a1326f7fb3f6330480ae757adcf64fcd592b\",0,\"thm_15542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311411,
+      "path": "data/train/p9b/deepseek-000309-0000-a6dfd41c1721d1f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "a6dfd41c1721d1f174b7241ed7e089afc7fa67fd2d74a025f5c0b1869314ba70"
+    },
+    {
+      "bytes": 29842,
+      "path": "data/dev/p9b/deepseek-000309-0000-853672bae4a0f653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "853672bae4a0f653c98e290574600638fe12ebbc11a28998b4294b01fc3dad96"
+    },
+    {
+      "bytes": 73317,
+      "path": "data/internal_test/p9b/deepseek-000309-0000-f6e8d67555058443.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f6e8d67555058443d6d19b90aa7939ddb9fe8a6d298e25d41172894bec657aa2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000310.json b/manifests/batches/deepseek/000310.json
index 6a5842aeba1da62e63f22e05c6c04769ec4511f3..9999266e09572235318d1d895079868b69504452 100644
--- a/manifests/batches/deepseek/000310.json
+++ b/manifests/batches/deepseek/000310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000310",
   "batch_fingerprint": "e806fff6ff5b7900ca480ed4d87a7b18224faa0b01edfe80688eb5846d11728e",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000310-0000-6fa009f5f6c459cc.parquet",
-      "sha256": "6fa009f5f6c459ccac7ed062458a1cdde5e00bb9031961adf868a3b672e24848",
-      "bytes": 266943,
-      "rows": 88,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    },
-    {
-      "path": "data/dev/deepseek-000310-0000-d831bb7bb0041b6f.parquet",
-      "sha256": "d831bb7bb0041b6f997bc85180245e9bb9ade8dd40bb1d8b41b7949f2556442f",
-      "bytes": 66061,
-      "rows": 12,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000310-0000-ec37a488f8e6e16e.parquet",
-      "sha256": "ec37a488f8e6e16eea1377ab3ff9b301dcf3b7c4b1f4fb09721920fe84c6a12c",
-      "bytes": 92014,
-      "rows": 18,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15543",
     "deepseek:thm_15544",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015547.lean\",\"113c6cd3eff7f69838ec27952a06cad911ce15dcb96c421c5eddd927e45d4db0\",0,\"thm_15590\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015548.lean\",\"b02d6c2fe52bf4ab4b5e069b58d642ccb27932b3eccd2b5126f92e5fc41513af\",0,\"thm_15591\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015549.lean\",\"dde4fcaad1d56feb5100d73cab75302ea5edd5a4c397623f582e63b21090e22e\",0,\"thm_15592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266943,
+      "path": "data/train/p4c/deepseek-000310-0000-6fa009f5f6c459cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "6fa009f5f6c459ccac7ed062458a1cdde5e00bb9031961adf868a3b672e24848"
+    },
+    {
+      "bytes": 66061,
+      "path": "data/dev/p4c/deepseek-000310-0000-d831bb7bb0041b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d831bb7bb0041b6f997bc85180245e9bb9ade8dd40bb1d8b41b7949f2556442f"
+    },
+    {
+      "bytes": 92014,
+      "path": "data/internal_test/p4c/deepseek-000310-0000-ec37a488f8e6e16e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ec37a488f8e6e16eea1377ab3ff9b301dcf3b7c4b1f4fb09721920fe84c6a12c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000311.json b/manifests/batches/deepseek/000311.json
index 99b7a563dd87a466efeffb0fecab7b5a00c382d4..43ea12832bf2b24f1c0d2d250895fee820b9e842 100644
--- a/manifests/batches/deepseek/000311.json
+++ b/manifests/batches/deepseek/000311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000311",
   "batch_fingerprint": "c454a9a31ff22026945fb06ba324962e31b686d4382dedef8781ca6605f75a58",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000311-0000-dbb6f25b10606c1d.parquet",
-      "sha256": "dbb6f25b10606c1ddd23a010855121ee4fca3e07aa6176a9d05dd60b57ece619",
-      "bytes": 272956,
-      "rows": 85,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    },
-    {
-      "path": "data/dev/deepseek-000311-0000-f70aaf2d58dd2a94.parquet",
-      "sha256": "f70aaf2d58dd2a9478b4709f7033afd99f5c6c1b98849027b6ab125b7b9b2d1b",
-      "bytes": 50943,
-      "rows": 12,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000311-0000-c9161347f69df80f.parquet",
-      "sha256": "c9161347f69df80f1c570c60f21677845375312d1390116b1b34b807272337f9",
-      "bytes": 50945,
-      "rows": 4,
-      "revision": "37274e33416f4e9164c487c369d73d2aa0872b0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15593",
     "deepseek:thm_15594",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015597.lean\",\"6c755737967a4d151c7c5b606b44a01a6948c8a8276865736d0d2ae17f4a333b\",0,\"thm_15640\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015598.lean\",\"bdab1b401c46af2b5967aaa8a7d8cd7eb54c089fa98b6827baf25bd411585467\",0,\"thm_15641\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015599.lean\",\"c3b80be4bec3b8e97c6016dbb99348fea47bc8c11d8e5e21146161725bef33a8\",0,\"thm_15642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272956,
+      "path": "data/train/p3d/deepseek-000311-0000-dbb6f25b10606c1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "dbb6f25b10606c1ddd23a010855121ee4fca3e07aa6176a9d05dd60b57ece619"
+    },
+    {
+      "bytes": 50943,
+      "path": "data/dev/p3d/deepseek-000311-0000-f70aaf2d58dd2a94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f70aaf2d58dd2a9478b4709f7033afd99f5c6c1b98849027b6ab125b7b9b2d1b"
+    },
+    {
+      "bytes": 50945,
+      "path": "data/internal_test/p3d/deepseek-000311-0000-c9161347f69df80f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c9161347f69df80f1c570c60f21677845375312d1390116b1b34b807272337f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000312.json b/manifests/batches/deepseek/000312.json
index d4cfeb41ba63d74916f77272f35d881a885582c6..405042f01d13dd57005a63f79f2a548b1941c97f 100644
--- a/manifests/batches/deepseek/000312.json
+++ b/manifests/batches/deepseek/000312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000312",
   "batch_fingerprint": "ada7eecc99c02868342776b158bbdfdb4823960de6989a8c621479b68b5d4876",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000312-0000-4687bf67f6223396.parquet",
-      "sha256": "4687bf67f62233963c247c00bad0c6591ca4c77673ffb5339f0c11e59bb32fd6",
-      "bytes": 305884,
-      "rows": 96,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/deepseek-000312-0000-0f5b91a80b625011.parquet",
-      "sha256": "0f5b91a80b625011a5a4ed7a6a29280dceffd4e10e28dec93a44de4b01a5638a",
-      "bytes": 46225,
-      "rows": 7,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000312-0000-e0037af789bfba44.parquet",
-      "sha256": "e0037af789bfba4439cecbae67e6653e54db0eaacf928a35160337fb41f671f3",
-      "bytes": 52839,
-      "rows": 12,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15643",
     "deepseek:thm_15644",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015647.lean\",\"dda06b4702ea95c6099c34ea2046da9385ddd52b56c29fd26ed5209a166b7d32\",0,\"thm_15690\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015648.lean\",\"a9eb862f98cdb9511d18b1749d9ce181149f1ddb54f50ab70b70380de20c8832\",0,\"thm_15691\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015649.lean\",\"f822316896515d3f28f66f9164eb8f803bcf1820a6608cb7719b8906cb4bd20d\",0,\"thm_15692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305884,
+      "path": "data/train/p2d/deepseek-000312-0000-4687bf67f6223396.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "4687bf67f62233963c247c00bad0c6591ca4c77673ffb5339f0c11e59bb32fd6"
+    },
+    {
+      "bytes": 46225,
+      "path": "data/dev/p2d/deepseek-000312-0000-0f5b91a80b625011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0f5b91a80b625011a5a4ed7a6a29280dceffd4e10e28dec93a44de4b01a5638a"
+    },
+    {
+      "bytes": 52839,
+      "path": "data/internal_test/p2d/deepseek-000312-0000-e0037af789bfba44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e0037af789bfba4439cecbae67e6653e54db0eaacf928a35160337fb41f671f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000313.json b/manifests/batches/deepseek/000313.json
index b95314d724a7fb683e0f30f4b9f52eaa20eda816..d330014bfe6c25e879d9ab45824d10aee89bd78a 100644
--- a/manifests/batches/deepseek/000313.json
+++ b/manifests/batches/deepseek/000313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000313",
   "batch_fingerprint": "577c7c662cc757a6da97c18a8ae5a6743a871ea222e6d72588851578e2d3cb83",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000313-0000-56f6139b3817dffa.parquet",
-      "sha256": "56f6139b3817dffac9aa638aa2fe1ef265a3d033c8e2e36c7567fdf8f8f1e643",
-      "bytes": 272255,
-      "rows": 91,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/deepseek-000313-0000-5d6fdc5086e0a101.parquet",
-      "sha256": "5d6fdc5086e0a10194eeba00a90bc48f6fc12f7cd7d54b5a5016e42a98e43095",
-      "bytes": 35387,
-      "rows": 5,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/deepseek-000313-0000-b53344c61cfdc4e2.parquet",
-      "sha256": "b53344c61cfdc4e2122eaed1e213859ade24ab1d4af070e18c0e4b60989876aa",
-      "bytes": 44629,
-      "rows": 10,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15693",
     "deepseek:thm_15694",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015697.lean\",\"b42f3c33a0f56a68562d102f2f6486c12d0c4bafb139b00bc73d6844ac712dbb\",0,\"thm_15740\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015698.lean\",\"f7fe2762a41ab9cd3338c6c66e49d4e946e81e9ab8e331d365fe3f87225314eb\",0,\"thm_15741\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015699.lean\",\"0b7ca54f40a0c96977357bb7672d156487edda95ce66a1adcefcd28be6bcc93c\",0,\"thm_15742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272255,
+      "path": "data/train/pc8/deepseek-000313-0000-56f6139b3817dffa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "56f6139b3817dffac9aa638aa2fe1ef265a3d033c8e2e36c7567fdf8f8f1e643"
+    },
+    {
+      "bytes": 35387,
+      "path": "data/dev/pc8/deepseek-000313-0000-5d6fdc5086e0a101.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5d6fdc5086e0a10194eeba00a90bc48f6fc12f7cd7d54b5a5016e42a98e43095"
+    },
+    {
+      "bytes": 44629,
+      "path": "data/internal_test/pc8/deepseek-000313-0000-b53344c61cfdc4e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b53344c61cfdc4e2122eaed1e213859ade24ab1d4af070e18c0e4b60989876aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000314.json b/manifests/batches/deepseek/000314.json
index d29839685667447ea26a1386b4a58a0e0e196465..de8a15f8fa941f03b3c4b8d75e373cd4cd84707d 100644
--- a/manifests/batches/deepseek/000314.json
+++ b/manifests/batches/deepseek/000314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000314",
   "batch_fingerprint": "5f669597dc0a539d95567f08e7234f23b99ab73515e29cf0e3540f6e18703020",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000314-0000-ba7a7d14b8f0225b.parquet",
-      "sha256": "ba7a7d14b8f0225b76a88796aa7b561934a9988ae2fb76af3f75d573552d14fa",
-      "bytes": 363198,
-      "rows": 107,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/dev/deepseek-000314-0000-ebab13bf931689dd.parquet",
-      "sha256": "ebab13bf931689dd742e728ee25c31c7a019b124c50a1ac1aa99d968471a6be0",
-      "bytes": 31993,
-      "rows": 3,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000314-0000-1cfbb31ec96a19a6.parquet",
-      "sha256": "1cfbb31ec96a19a62c24849961ac6b968ab640fda45038e35568743a6299d923",
-      "bytes": 42190,
-      "rows": 11,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15743",
     "deepseek:thm_15744",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015747.lean\",\"f343b8c103f1b897c2809511ba27536ece944238803f9f8f45c620d598285e81\",0,\"thm_15790\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015748.lean\",\"e74feee822117e543c9b3896cc45efc60ea069e2a24abfc1ffef005625fe5fed\",0,\"thm_15791\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015749.lean\",\"af160264794cfce735f73313f166ed47c0dc55dd99b755c0e017fe785ac317ec\",0,\"thm_15792\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363198,
+      "path": "data/train/pe4/deepseek-000314-0000-ba7a7d14b8f0225b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "ba7a7d14b8f0225b76a88796aa7b561934a9988ae2fb76af3f75d573552d14fa"
+    },
+    {
+      "bytes": 31993,
+      "path": "data/dev/pe4/deepseek-000314-0000-ebab13bf931689dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ebab13bf931689dd742e728ee25c31c7a019b124c50a1ac1aa99d968471a6be0"
+    },
+    {
+      "bytes": 42190,
+      "path": "data/internal_test/pe4/deepseek-000314-0000-1cfbb31ec96a19a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1cfbb31ec96a19a62c24849961ac6b968ab640fda45038e35568743a6299d923"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000315.json b/manifests/batches/deepseek/000315.json
index 0ef4d09b43705227f7359e1a28edd1e245d0438c..d4eb37a45219395f522bbb9e613905c4337a5090 100644
--- a/manifests/batches/deepseek/000315.json
+++ b/manifests/batches/deepseek/000315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000315",
   "batch_fingerprint": "d56cb77ae288a348be567e5e7fc4f0722ac274503920b46651fac061d8a9b356",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000315-0000-3b9fff694a405837.parquet",
-      "sha256": "3b9fff694a4058377e2c0f742b5526cc5f1949c10a075d12d31f8cef9bf0d2f2",
-      "bytes": 321850,
-      "rows": 97,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/deepseek-000315-0000-43364acdbf87142a.parquet",
-      "sha256": "43364acdbf87142aef6fdb8a868574388070ef61fbe8a93cfcd3136968582284",
-      "bytes": 48949,
-      "rows": 11,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/deepseek-000315-0000-53f52e174684fc00.parquet",
-      "sha256": "53f52e174684fc009749ef218e2e1c6492c2f6b06a9da76b2f4d193c16972bce",
-      "bytes": 44191,
-      "rows": 6,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15793",
     "deepseek:thm_15794",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015797.lean\",\"5cd40e93f2b060cc033d8933a7166171f15377ccd0af59f1f6473add7a337298\",0,\"thm_15840\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015798.lean\",\"b24548a200daf19a75d5b2efd0895fded3a3b31d897be27aa71c4b32af63add6\",0,\"thm_15841\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015799.lean\",\"5adbd9432952785e57ba7a5f63f374ec05455c7288ac3be231c4b16a81dd3c4b\",0,\"thm_15842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321850,
+      "path": "data/train/p33/deepseek-000315-0000-3b9fff694a405837.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "3b9fff694a4058377e2c0f742b5526cc5f1949c10a075d12d31f8cef9bf0d2f2"
+    },
+    {
+      "bytes": 48949,
+      "path": "data/dev/p33/deepseek-000315-0000-43364acdbf87142a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "43364acdbf87142aef6fdb8a868574388070ef61fbe8a93cfcd3136968582284"
+    },
+    {
+      "bytes": 44191,
+      "path": "data/internal_test/p33/deepseek-000315-0000-53f52e174684fc00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "53f52e174684fc009749ef218e2e1c6492c2f6b06a9da76b2f4d193c16972bce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000316.json b/manifests/batches/deepseek/000316.json
index ec476d8b3a55bd523585e427a447e863e6c8ccbb..5827b5ede63fcc070a8e8fb060685ae004468fe0 100644
--- a/manifests/batches/deepseek/000316.json
+++ b/manifests/batches/deepseek/000316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000316",
   "batch_fingerprint": "56202561f51f2a2cb43704c7afb13d93710dbe78f67641a5d598d504a72ab187",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000316-0000-6cd3555b4df7c3b9.parquet",
-      "sha256": "6cd3555b4df7c3b93db5b5721ddeac0daf0004ca0a79acf1010b351df21cf6d0",
-      "bytes": 273634,
-      "rows": 92,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/deepseek-000316-0000-2450baaeb77f2110.parquet",
-      "sha256": "2450baaeb77f2110e969f462a3d1f22845da462f9225a923c3faa5a1c6fac1da",
-      "bytes": 67692,
-      "rows": 17,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/deepseek-000316-0000-275ede308a6fc001.parquet",
-      "sha256": "275ede308a6fc0013c69975458a82ba29bc5edb3eb682e462678824a6016de9e",
-      "bytes": 65745,
-      "rows": 14,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15843",
     "deepseek:thm_15844",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015847.lean\",\"ec770b1c2242df953d50edf2b54cbedeede56e14563fa16b5ad28329fffafd83\",0,\"thm_15890\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015848.lean\",\"81cfe69c4db7bb2069fc67ca2dd64c2abb872fb4af0a4ad3d37497fef46c2c41\",0,\"thm_15891\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015849.lean\",\"295b4fbb105366175c456127784f6347822b504dd218196239c81c6be7214fde\",0,\"thm_15892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273634,
+      "path": "data/train/pc9/deepseek-000316-0000-6cd3555b4df7c3b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "6cd3555b4df7c3b93db5b5721ddeac0daf0004ca0a79acf1010b351df21cf6d0"
+    },
+    {
+      "bytes": 67692,
+      "path": "data/dev/pc9/deepseek-000316-0000-2450baaeb77f2110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2450baaeb77f2110e969f462a3d1f22845da462f9225a923c3faa5a1c6fac1da"
+    },
+    {
+      "bytes": 65745,
+      "path": "data/internal_test/pc9/deepseek-000316-0000-275ede308a6fc001.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "275ede308a6fc0013c69975458a82ba29bc5edb3eb682e462678824a6016de9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000317.json b/manifests/batches/deepseek/000317.json
index 3af6d47c1127394ff2796b58f607e3204ad88f5c..9ce32ab49791fd3161fac7f2a8fcec33a925408a 100644
--- a/manifests/batches/deepseek/000317.json
+++ b/manifests/batches/deepseek/000317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000317",
   "batch_fingerprint": "181affd0b4320972b3b921fb2624d1bc24320bd0dfbbac0549a94b0d488b703e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000317-0000-0b074ceebbf84ea9.parquet",
-      "sha256": "0b074ceebbf84ea9fab183bdf0061875470cb577eb30b2bd1f873ebf7fbf6f74",
-      "bytes": 378684,
-      "rows": 99,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/deepseek-000317-0000-c9f13df720a0f2f4.parquet",
-      "sha256": "c9f13df720a0f2f400055bbffce1781b3f5e3ce5b59f3300896b3650973b15c9",
-      "bytes": 60758,
-      "rows": 12,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/deepseek-000317-0000-105cc1c56c25b09c.parquet",
-      "sha256": "105cc1c56c25b09ce79797898ed550f469c94f4ca54c652f87198747f54c2c90",
-      "bytes": 68660,
-      "rows": 9,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15893",
     "deepseek:thm_15894",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015897.lean\",\"e9287167bdcf6382e57d83e2caf02470c228db208a868321618da8148f8c5a7c\",0,\"thm_15940\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015898.lean\",\"745ce7f80e33629e40f3a60d4fa900e143660d1c90ace6590bd306000b0335d5\",0,\"thm_15941\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015899.lean\",\"f44ea653b6d66a6f659c51c5a66c3845ca97f60c5b9c856dd50499d6daf3bd54\",0,\"thm_15942\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378684,
+      "path": "data/train/pe1/deepseek-000317-0000-0b074ceebbf84ea9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "0b074ceebbf84ea9fab183bdf0061875470cb577eb30b2bd1f873ebf7fbf6f74"
+    },
+    {
+      "bytes": 60758,
+      "path": "data/dev/pe1/deepseek-000317-0000-c9f13df720a0f2f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c9f13df720a0f2f400055bbffce1781b3f5e3ce5b59f3300896b3650973b15c9"
+    },
+    {
+      "bytes": 68660,
+      "path": "data/internal_test/pe1/deepseek-000317-0000-105cc1c56c25b09c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "105cc1c56c25b09ce79797898ed550f469c94f4ca54c652f87198747f54c2c90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000318.json b/manifests/batches/deepseek/000318.json
index 56facbd1d3e7ded1da9e94a3221696d4384615d9..ca9aa16fee419ed7cdb1fd78e54a0a2ec57c40f9 100644
--- a/manifests/batches/deepseek/000318.json
+++ b/manifests/batches/deepseek/000318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000318",
   "batch_fingerprint": "fd444c94f6bc91b7874aceee084d5e4388f159d16ff7f48499a0946950183d27",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000318-0000-10cb8c29446a8552.parquet",
-      "sha256": "10cb8c29446a8552eb85481bf69761815aac7152d2881c5223df6ac027270f47",
-      "bytes": 344325,
-      "rows": 100,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/dev/deepseek-000318-0000-9a0d50cf9ab7ee33.parquet",
-      "sha256": "9a0d50cf9ab7ee33b483ecc6bd482e40d6e3d9fdfc3cfcec1455d44dadd50d96",
-      "bytes": 45627,
-      "rows": 7,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000318-0000-0db100634cdeb6e8.parquet",
-      "sha256": "0db100634cdeb6e8b2bd2bc6048ae8cb416990e335f820798d58eb848f357dbc",
-      "bytes": 55088,
-      "rows": 11,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15943",
     "deepseek:thm_15944",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015947.lean\",\"2ac1e607cfbb502ec308709c2234b10efda8a8367482f225599cf7943ca25f28\",0,\"thm_15990\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015948.lean\",\"191b887a72071b3a46fc9aa06d9ef7ff79ac736b24dc96a6783f43dcc6b1e998\",0,\"thm_15991\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015949.lean\",\"7f3dd6a604372d9d742d1c20dbed4ebe18be54bd850f7225fd03bda28e644d4c\",0,\"thm_15992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344325,
+      "path": "data/train/p89/deepseek-000318-0000-10cb8c29446a8552.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "10cb8c29446a8552eb85481bf69761815aac7152d2881c5223df6ac027270f47"
+    },
+    {
+      "bytes": 45627,
+      "path": "data/dev/p89/deepseek-000318-0000-9a0d50cf9ab7ee33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9a0d50cf9ab7ee33b483ecc6bd482e40d6e3d9fdfc3cfcec1455d44dadd50d96"
+    },
+    {
+      "bytes": 55088,
+      "path": "data/internal_test/p89/deepseek-000318-0000-0db100634cdeb6e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0db100634cdeb6e8b2bd2bc6048ae8cb416990e335f820798d58eb848f357dbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000319.json b/manifests/batches/deepseek/000319.json
index 0aecaecb2afa686a31cb4cb391147c2cf143b632..34c4232e484bb71f695c99ab8a8f4efa7c943c9b 100644
--- a/manifests/batches/deepseek/000319.json
+++ b/manifests/batches/deepseek/000319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000319",
   "batch_fingerprint": "313d43c284b0306e46b0e58195569c18e8993df7484281ce73e37902ade8bb94",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000319-0000-e27aa9eaec2d04c8.parquet",
-      "sha256": "e27aa9eaec2d04c8799fea75dc6c15e9759006b7d0e1b44e2c950dc2e443c9f3",
-      "bytes": 292902,
-      "rows": 89,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/deepseek-000319-0000-20d919f353affad0.parquet",
-      "sha256": "20d919f353affad034ed75c3a90fa574c31a6d684e8b0c685f6533ba37c43505",
-      "bytes": 56050,
-      "rows": 12,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/deepseek-000319-0000-1e2a0e8cc86bd913.parquet",
-      "sha256": "1e2a0e8cc86bd913de63e4b99c761c8dee7bbe54a7ab4c96b79f4ae03c48abf1",
-      "bytes": 50527,
-      "rows": 8,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_15993",
     "deepseek:thm_15994",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015996.lean\",\"b13ca1a0cad7c2da2de9dcc7fc3dcd5e7d40f9c5ddc80d9202f46c485986aff4\",0,\"thm_16039\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015997.lean\",\"8ec28d5213382f418a9a696b8cf08eeb85b1d7cd7aa8ddb05416a652e92840ec\",0,\"thm_16040\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_015998.lean\",\"e86561ce774fa9dead284f80b0eb3781a107fbe9cfdd88d546811a26b4d43465\",0,\"thm_16041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292902,
+      "path": "data/train/p03/deepseek-000319-0000-e27aa9eaec2d04c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "e27aa9eaec2d04c8799fea75dc6c15e9759006b7d0e1b44e2c950dc2e443c9f3"
+    },
+    {
+      "bytes": 56050,
+      "path": "data/dev/p03/deepseek-000319-0000-20d919f353affad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "20d919f353affad034ed75c3a90fa574c31a6d684e8b0c685f6533ba37c43505"
+    },
+    {
+      "bytes": 50527,
+      "path": "data/internal_test/p03/deepseek-000319-0000-1e2a0e8cc86bd913.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1e2a0e8cc86bd913de63e4b99c761c8dee7bbe54a7ab4c96b79f4ae03c48abf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000320.json b/manifests/batches/deepseek/000320.json
index 09ab3d6096b1c227e11493428d0f260f2231db8b..f4ac8ab08f4bc2240ca05f30706be42c38b6d137 100644
--- a/manifests/batches/deepseek/000320.json
+++ b/manifests/batches/deepseek/000320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000320",
   "batch_fingerprint": "a0e242e4fee8ae1dca3cbf0051dbf8ee10e7d20043ae6ed5ae94968117249ad8",
   "evidence": {
@@ -37,22 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000320-0000-04778eaf877adb85.parquet",
-      "sha256": "04778eaf877adb85c0d9a33dbdad9aa4d28da6a72a20f044d3bf526c514eca4b",
-      "bytes": 350217,
-      "rows": 109,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    },
-    {
-      "path": "data/dev/deepseek-000320-0000-39887d50c62ca4dd.parquet",
-      "sha256": "39887d50c62ca4dd0f647785c47e12760130f3660d26bcef6f23c6bf599525c5",
-      "bytes": 49781,
-      "rows": 6,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16043",
     "deepseek:thm_16044",
@@ -154,5 +138,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016047.lean\",\"0b260f6f4b61671a90337c1b52460f1a540f37ec3e6050a971c0d1ccc26cf413\",0,\"thm_16090\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016048.lean\",\"89fab2d47966dbeb69093814a77ee36512fb2e4b485d91afd29fddd3b7fdb0d2\",0,\"thm_16091\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016049.lean\",\"88d5413e669887eeb1b53107bf2ec72290cf280db315791ce07c7304c3c9ef61\",0,\"thm_16092\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350217,
+      "path": "data/train/pc4/deepseek-000320-0000-04778eaf877adb85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "04778eaf877adb85c0d9a33dbdad9aa4d28da6a72a20f044d3bf526c514eca4b"
+    },
+    {
+      "bytes": 49781,
+      "path": "data/dev/pc4/deepseek-000320-0000-39887d50c62ca4dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "39887d50c62ca4dd0f647785c47e12760130f3660d26bcef6f23c6bf599525c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000321.json b/manifests/batches/deepseek/000321.json
index 1aa2d62da3ce2e401207b81dae0eca9e7327d05a..968b8b2f1eebf1170cb25d2adb7de4a270f835b8 100644
--- a/manifests/batches/deepseek/000321.json
+++ b/manifests/batches/deepseek/000321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000321",
   "batch_fingerprint": "a035760faed5c54c5aac8eeacd666cbbef088951f303a903f1c9bbfc84cc5ca2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000321-0000-3a31f364f7be8c1f.parquet",
-      "sha256": "3a31f364f7be8c1f0b8c64262b3eb482dc975027412e796d0901551e276f7f7f",
-      "bytes": 261463,
-      "rows": 87,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/deepseek-000321-0000-97f4958e94a468ff.parquet",
-      "sha256": "97f4958e94a468ffb50b56db960c5b9363ffb2ef3f47e595ec56c2216a23aa29",
-      "bytes": 54779,
-      "rows": 6,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/deepseek-000321-0000-e5b161e623dd2c8c.parquet",
-      "sha256": "e5b161e623dd2c8cffb4e5096901e02b95df585f8c853cd99b1a3ec016a9121e",
-      "bytes": 72599,
-      "rows": 18,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16093",
     "deepseek:thm_16094",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016097.lean\",\"7fbc08d02715e365efbcbc4634a05eee06d60121fdfbe1caa74894e47e4e02e5\",0,\"thm_16140\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016098.lean\",\"e97be2fddc86505ae014d9b5ba4638ae48554ef1eaa1e250b28662284965525d\",0,\"thm_16141\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016099.lean\",\"a821dea03c748f8608e28319a4457eea91ee9c985163e66b7c0570f09d22be02\",0,\"thm_16142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261463,
+      "path": "data/train/p97/deepseek-000321-0000-3a31f364f7be8c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "3a31f364f7be8c1f0b8c64262b3eb482dc975027412e796d0901551e276f7f7f"
+    },
+    {
+      "bytes": 54779,
+      "path": "data/dev/p97/deepseek-000321-0000-97f4958e94a468ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "97f4958e94a468ffb50b56db960c5b9363ffb2ef3f47e595ec56c2216a23aa29"
+    },
+    {
+      "bytes": 72599,
+      "path": "data/internal_test/p97/deepseek-000321-0000-e5b161e623dd2c8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e5b161e623dd2c8cffb4e5096901e02b95df585f8c853cd99b1a3ec016a9121e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000322.json b/manifests/batches/deepseek/000322.json
index da5743be5b44f388e914d498db292eb3253c570c..a8f77a7a04ea84a3845b53e1ee3877d975c23e44 100644
--- a/manifests/batches/deepseek/000322.json
+++ b/manifests/batches/deepseek/000322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000322",
   "batch_fingerprint": "e0e83c74bce009fa92dc334b39ec195e9a13d77af8726a1c7667549f0d7eb71a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000322-0000-0682089f0549e62c.parquet",
-      "sha256": "0682089f0549e62c2c171e04cc92cdb7972265992b3d095c6ac3b3ad87536a35",
-      "bytes": 323489,
-      "rows": 90,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/deepseek-000322-0000-3d4e6162646e4db6.parquet",
-      "sha256": "3d4e6162646e4db61de59c18b8d99faa506e4cf2838d003800dcd4d3cd75a2a3",
-      "bytes": 48330,
-      "rows": 9,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000322-0000-fed8e8582082d9fa.parquet",
-      "sha256": "fed8e8582082d9fa556f0b9d3758ff4c7d341f1c735cdc10227432507e2bbc4d",
-      "bytes": 55049,
-      "rows": 14,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16143",
     "deepseek:thm_16144",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016147.lean\",\"99a3a767ff6d3130f51a320931664af87755f985fd435cff58815ab07e1daf0c\",0,\"thm_16190\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016148.lean\",\"2e2f118dc44aabf47caa329e3c9214c01e4f82240182922c1e90d54ee7b8fb0a\",0,\"thm_16191\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016149.lean\",\"2700a2ab7af9e4ec88f6b1fd1209589fd6cea55b264fc1a141e4fd58154ee8df\",0,\"thm_16192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323489,
+      "path": "data/train/p1f/deepseek-000322-0000-0682089f0549e62c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "0682089f0549e62c2c171e04cc92cdb7972265992b3d095c6ac3b3ad87536a35"
+    },
+    {
+      "bytes": 48330,
+      "path": "data/dev/p1f/deepseek-000322-0000-3d4e6162646e4db6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3d4e6162646e4db61de59c18b8d99faa506e4cf2838d003800dcd4d3cd75a2a3"
+    },
+    {
+      "bytes": 55049,
+      "path": "data/internal_test/p1f/deepseek-000322-0000-fed8e8582082d9fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fed8e8582082d9fa556f0b9d3758ff4c7d341f1c735cdc10227432507e2bbc4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000323.json b/manifests/batches/deepseek/000323.json
index 01e1cc5c58558ca9ecc0396c293e23d17bc37d50..1e0101e59448edbad7f9fed806ec21961a21a7f7 100644
--- a/manifests/batches/deepseek/000323.json
+++ b/manifests/batches/deepseek/000323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000323",
   "batch_fingerprint": "6841e9ee4cc360ea3d1eb445812b4c988ed115fb6899f5fd47acd1cbb29055bd",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000323-0000-bcedd9a2ae6512c2.parquet",
-      "sha256": "bcedd9a2ae6512c2525cbdf0e38af8bbc014137b0022fb4d5633946e60674643",
-      "bytes": 274931,
-      "rows": 93,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/dev/deepseek-000323-0000-310e0788bacdc29f.parquet",
-      "sha256": "310e0788bacdc29f19d236702bca97e79e9b80e8e92ccf8980aaab6f92bc4f3d",
-      "bytes": 38557,
-      "rows": 4,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/internal_test/deepseek-000323-0000-5a685af64511eb4b.parquet",
-      "sha256": "5a685af64511eb4bbf282f7e7d5d8f18a4f85b632fa827a72b4fc8d80b75765d",
-      "bytes": 58876,
-      "rows": 11,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16193",
     "deepseek:thm_16194",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016197.lean\",\"5fd65ce9f45c8d39f8155db0d320af118761233e9abcc203b981099134da66f1\",0,\"thm_16240\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016198.lean\",\"a683ba8f1d725a11d61e5ab58341036424f404ca8c0e9e8c27b21b8a97315f0c\",0,\"thm_16241\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016199.lean\",\"c3ab444bae4dcf508f142ee9cfc7adc3ee35788b832c49b2629bd1d55fe30d97\",0,\"thm_16242\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274931,
+      "path": "data/train/p43/deepseek-000323-0000-bcedd9a2ae6512c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "bcedd9a2ae6512c2525cbdf0e38af8bbc014137b0022fb4d5633946e60674643"
+    },
+    {
+      "bytes": 38557,
+      "path": "data/dev/p43/deepseek-000323-0000-310e0788bacdc29f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "310e0788bacdc29f19d236702bca97e79e9b80e8e92ccf8980aaab6f92bc4f3d"
+    },
+    {
+      "bytes": 58876,
+      "path": "data/internal_test/p43/deepseek-000323-0000-5a685af64511eb4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5a685af64511eb4bbf282f7e7d5d8f18a4f85b632fa827a72b4fc8d80b75765d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000324.json b/manifests/batches/deepseek/000324.json
index 11534f4d92ec10a4e78a2db893a4a927e0ae5379..bbde0df0eff5d18e2f16dfeaccd9ee9e432740a5 100644
--- a/manifests/batches/deepseek/000324.json
+++ b/manifests/batches/deepseek/000324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000324",
   "batch_fingerprint": "a615b2ff459e1c93f01dd42673f119bdabf740eab8404de48d3795f53a33f432",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000324-0000-8d1c8c7f89785565.parquet",
-      "sha256": "8d1c8c7f89785565a4dff734f14756fcc82fb57f733a9e547eba051a22e531d6",
-      "bytes": 349926,
-      "rows": 105,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000324-0000-e09f4213337db2bc.parquet",
-      "sha256": "e09f4213337db2bc802bacce330361ee780ad45878e18dc912268c7cf1693ca6",
-      "bytes": 55192,
-      "rows": 15,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16243",
     "deepseek:thm_16244",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016247.lean\",\"922eed452f8e135f051cd20ee2c83cc3438098df5e87e2e43042a7d5431d85e9\",0,\"thm_16290\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016248.lean\",\"8378dcc82de8fffc41dd907ff4fcf242291b511c6cf475d31f7063673dbe7f0d\",0,\"thm_16291\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016249.lean\",\"acb75876d2aad250aa4fe15b549ccfb8162a7fecedafd2848f2cf3d9e0730bfd\",0,\"thm_16292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349926,
+      "path": "data/train/p1f/deepseek-000324-0000-8d1c8c7f89785565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "8d1c8c7f89785565a4dff734f14756fcc82fb57f733a9e547eba051a22e531d6"
+    },
+    {
+      "bytes": 55192,
+      "path": "data/internal_test/p1f/deepseek-000324-0000-e09f4213337db2bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e09f4213337db2bc802bacce330361ee780ad45878e18dc912268c7cf1693ca6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000325.json b/manifests/batches/deepseek/000325.json
index 28f92b84dca423018dcc8a5b0330b64a910fbbce..bbf9b968c5209591f3db76b12ab84757f7155e57 100644
--- a/manifests/batches/deepseek/000325.json
+++ b/manifests/batches/deepseek/000325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000325",
   "batch_fingerprint": "6f68812ee2293850e3c4ea4405327d9594d4a08b0a7573837dcbd84f757afc81",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000325-0000-38953c2241b6e6d5.parquet",
-      "sha256": "38953c2241b6e6d5bd96e0249fa89822116806c4ac28bad4da9094461ead35cd",
-      "bytes": 287037,
-      "rows": 96,
-      "revision": "94d9a978b56a3c920055cdb9c3448abb50c82f84"
-    },
-    {
-      "path": "data/dev/deepseek-000325-0000-3b98136ae2947269.parquet",
-      "sha256": "3b98136ae29472691252844df2fe46649ee0418800ea23e66c3bed2a31e182c3",
-      "bytes": 39392,
-      "rows": 7,
-      "revision": "94d9a978b56a3c920055cdb9c3448abb50c82f84"
-    },
-    {
-      "path": "data/internal_test/deepseek-000325-0000-b39f7bcb375ed71e.parquet",
-      "sha256": "b39f7bcb375ed71e77ab73432e0aef6eb750c8dba81d00ba46384634a5b84a56",
-      "bytes": 41212,
-      "rows": 9,
-      "revision": "94d9a978b56a3c920055cdb9c3448abb50c82f84"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16293",
     "deepseek:thm_16294",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016297.lean\",\"c161c0fe97de71b379814a6e4c74bb8f56fd70fb27cff0f4b19e2078415540e8\",0,\"thm_16340\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016298.lean\",\"51155fe3a7f4bdc43227f8ccc02d1cb7e0a1aecf80481f4115f5dda1ac03ce85\",0,\"thm_16341\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016299.lean\",\"93c31acecf58febacbb16cfe56bbf67d032c497ad896a8f71ea2759b9fad5a28\",0,\"thm_16342\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287037,
+      "path": "data/train/p7a/deepseek-000325-0000-38953c2241b6e6d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "38953c2241b6e6d5bd96e0249fa89822116806c4ac28bad4da9094461ead35cd"
+    },
+    {
+      "bytes": 39392,
+      "path": "data/dev/p7a/deepseek-000325-0000-3b98136ae2947269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3b98136ae29472691252844df2fe46649ee0418800ea23e66c3bed2a31e182c3"
+    },
+    {
+      "bytes": 41212,
+      "path": "data/internal_test/p7a/deepseek-000325-0000-b39f7bcb375ed71e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b39f7bcb375ed71e77ab73432e0aef6eb750c8dba81d00ba46384634a5b84a56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000326.json b/manifests/batches/deepseek/000326.json
index b2bc50f4b6de4e9f6119aa40d7326736ff0092c7..3a88b970ae07894d2ae2e561a74d90d605714888 100644
--- a/manifests/batches/deepseek/000326.json
+++ b/manifests/batches/deepseek/000326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000326",
   "batch_fingerprint": "c9f02f4e48221d4181bd138f36a939e506861fea130d89b0f1c710d2eafaaa16",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000326-0000-7cd8b88affd346bf.parquet",
-      "sha256": "7cd8b88affd346bf994cd94fa4e639f2db07f55e9959a8bf08101eb2bdf03ba3",
-      "bytes": 263441,
-      "rows": 95,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/deepseek-000326-0000-68ab76a463ab3e9e.parquet",
-      "sha256": "68ab76a463ab3e9e20ee6318c8ce683420e0d9c3fd913f239dd8aeaee8186b0b",
-      "bytes": 39823,
-      "rows": 3,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000326-0000-c52a49b304f73f75.parquet",
-      "sha256": "c52a49b304f73f75ca48093ee7575734769eedd165f9aea66c0ec92785c50452",
-      "bytes": 50848,
-      "rows": 12,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16343",
     "deepseek:thm_16344",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016347.lean\",\"1b92193269a52c3d5a9fa2e52fb0f7d8b79d1969c1b2a3398529b07bbec9772c\",0,\"thm_16390\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016348.lean\",\"f5df42d6563f2ed66c510f7f7a80e407691cc5e2573c64b57ba24d9b0349a479\",0,\"thm_16391\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016349.lean\",\"3ad39ec303f6842bb92f4b8e0eabd381b74e3640323f6dfc1e13c25565bd119e\",0,\"thm_16392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263441,
+      "path": "data/train/p84/deepseek-000326-0000-7cd8b88affd346bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "7cd8b88affd346bf994cd94fa4e639f2db07f55e9959a8bf08101eb2bdf03ba3"
+    },
+    {
+      "bytes": 39823,
+      "path": "data/dev/p84/deepseek-000326-0000-68ab76a463ab3e9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "68ab76a463ab3e9e20ee6318c8ce683420e0d9c3fd913f239dd8aeaee8186b0b"
+    },
+    {
+      "bytes": 50848,
+      "path": "data/internal_test/p84/deepseek-000326-0000-c52a49b304f73f75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c52a49b304f73f75ca48093ee7575734769eedd165f9aea66c0ec92785c50452"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000327.json b/manifests/batches/deepseek/000327.json
index bd67300571957716da5673690103b11cde7bf09c..f8d49e463b640c3d345e6850ed5e15ba8a419e3e 100644
--- a/manifests/batches/deepseek/000327.json
+++ b/manifests/batches/deepseek/000327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000327",
   "batch_fingerprint": "fbd6d6ead687a508ed9b2033cdc77f5671ff3e39d040a2b5e578ca8daded3712",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000327-0000-40057ad14499253d.parquet",
-      "sha256": "40057ad14499253d4ac52ff542922e1d92cb8ce5cd1888c155bc0bad8c2b589e",
-      "bytes": 351909,
-      "rows": 112,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000327-0000-295c0901b4538b57.parquet",
-      "sha256": "295c0901b4538b57399b76e4a0c7c08148a17ea68c502d111f72120abe381de7",
-      "bytes": 63734,
-      "rows": 17,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16393",
     "deepseek:thm_16394",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016397.lean\",\"24080faf6de9d3c7258d4665c459058b740c6aca8b8db31602b796610fe8a6d3\",0,\"thm_16440\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016398.lean\",\"52afa6f812f1e2598f9de3d6ab5cc7a60dd4d7b8533b9d5f95dd85cfafc7c1a9\",0,\"thm_16441\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016399.lean\",\"65df39202ecb7bac3747d13f11dbbe11fcba143e796f66b6ce6addbd268f0fc7\",0,\"thm_16442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351909,
+      "path": "data/train/pc8/deepseek-000327-0000-40057ad14499253d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "40057ad14499253d4ac52ff542922e1d92cb8ce5cd1888c155bc0bad8c2b589e"
+    },
+    {
+      "bytes": 63734,
+      "path": "data/internal_test/pc8/deepseek-000327-0000-295c0901b4538b57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "295c0901b4538b57399b76e4a0c7c08148a17ea68c502d111f72120abe381de7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000328.json b/manifests/batches/deepseek/000328.json
index 197c9f36a53133717921caf1f1cfee1d74e1b8e3..35bfc339bcc0fff9dc6c52422bb7661ff5673e26 100644
--- a/manifests/batches/deepseek/000328.json
+++ b/manifests/batches/deepseek/000328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000328",
   "batch_fingerprint": "c8ac5dad615e29c09216879f861c217c6152f69f7fcbd37051883ea220164001",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000328-0000-2a3c9e55be30a6b2.parquet",
-      "sha256": "2a3c9e55be30a6b2217db0e09a1bcbac81c1a5954c0707dd1d371470282badda",
-      "bytes": 303369,
-      "rows": 94,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/dev/deepseek-000328-0000-43af81af6d7f4b6e.parquet",
-      "sha256": "43af81af6d7f4b6e34d28ae75c6abb3186c78b63993a4604aac463709574d22e",
-      "bytes": 47514,
-      "rows": 7,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/internal_test/deepseek-000328-0000-fd48893f94f3148c.parquet",
-      "sha256": "fd48893f94f3148ce3bda8c02b143924f9fba1713acc0e17ec8a95b75736ee08",
-      "bytes": 42966,
-      "rows": 7,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16443",
     "deepseek:thm_16444",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016447.lean\",\"65cd9e1a964562481fa8217880840fbf9375da225283fee66af6f8d244bd534f\",0,\"thm_16490\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016448.lean\",\"98cec1f2168f3442e03f1585d882caaf8e1588ec4b75a9d2d5abc390e2167631\",0,\"thm_16491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016449.lean\",\"0e4dd66fe5aaf77c7da3c1b571168af2042f42913dd9d87ccdceb0f2d2ba30a2\",0,\"thm_16492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303369,
+      "path": "data/train/p25/deepseek-000328-0000-2a3c9e55be30a6b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "2a3c9e55be30a6b2217db0e09a1bcbac81c1a5954c0707dd1d371470282badda"
+    },
+    {
+      "bytes": 47514,
+      "path": "data/dev/p25/deepseek-000328-0000-43af81af6d7f4b6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "43af81af6d7f4b6e34d28ae75c6abb3186c78b63993a4604aac463709574d22e"
+    },
+    {
+      "bytes": 42966,
+      "path": "data/internal_test/p25/deepseek-000328-0000-fd48893f94f3148c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fd48893f94f3148ce3bda8c02b143924f9fba1713acc0e17ec8a95b75736ee08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000329.json b/manifests/batches/deepseek/000329.json
index 2815513e6a345c336fe789af1883a51e7430a596..f6cf060531f6b6636b8157f2461842fbaab331bc 100644
--- a/manifests/batches/deepseek/000329.json
+++ b/manifests/batches/deepseek/000329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000329",
   "batch_fingerprint": "cbf1e25a11e61ed929d11409d506ef86ee541a53ff8febebd762db2b8a1b90dd",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000329-0000-41da7a2e235313ae.parquet",
-      "sha256": "41da7a2e235313ae23acc3a682d87139cc3209760317e2ee7542249cb0689651",
-      "bytes": 346038,
-      "rows": 103,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/deepseek-000329-0000-ca749609bb1781ba.parquet",
-      "sha256": "ca749609bb1781ba21088166353635fddd1910e8a150599bf962806210fd81a8",
-      "bytes": 35843,
-      "rows": 5,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000329-0000-be0c54ff62c36d74.parquet",
-      "sha256": "be0c54ff62c36d74b8bcd72d68fcd971ee4b09971076002dd41c6baab5fd2d09",
-      "bytes": 46567,
-      "rows": 9,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16493",
     "deepseek:thm_16494",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016497.lean\",\"03b4c2f14fa40258e4a08b86eeb05810abb257fd78866da9e142c2361edbba2c\",0,\"thm_16540\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016498.lean\",\"3a0dbef2f217b68f6cab2625962b41b2d2bbe8c9b7d6e178e2bdb5d92988adc2\",0,\"thm_16541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016499.lean\",\"2e8e3f4a6e3b188f6fc0de73b44e2a0111f4cdc79a5d0bc56b2bc3d1f7c9de1b\",0,\"thm_16542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346038,
+      "path": "data/train/p86/deepseek-000329-0000-41da7a2e235313ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "41da7a2e235313ae23acc3a682d87139cc3209760317e2ee7542249cb0689651"
+    },
+    {
+      "bytes": 35843,
+      "path": "data/dev/p86/deepseek-000329-0000-ca749609bb1781ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ca749609bb1781ba21088166353635fddd1910e8a150599bf962806210fd81a8"
+    },
+    {
+      "bytes": 46567,
+      "path": "data/internal_test/p86/deepseek-000329-0000-be0c54ff62c36d74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "be0c54ff62c36d74b8bcd72d68fcd971ee4b09971076002dd41c6baab5fd2d09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000330.json b/manifests/batches/deepseek/000330.json
index a0da0ae19a3b2bf22dbb0672293958b3e7c780d4..613ca844dd6161fce68b52bb761719a2ad0f2b84 100644
--- a/manifests/batches/deepseek/000330.json
+++ b/manifests/batches/deepseek/000330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000330",
   "batch_fingerprint": "f9d9ea92e8b6971ef9a24314dd0f891005212b5c381f9e46b1513b9107aacba4",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000330-0000-0e5c5c9bef8118a5.parquet",
-      "sha256": "0e5c5c9bef8118a5b44b56d58e4e62773eb23f409307c069199a83014ae42f55",
-      "bytes": 341381,
-      "rows": 113,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/dev/deepseek-000330-0000-ee8848a293500bba.parquet",
-      "sha256": "ee8848a293500bbaae1a3829d1f3ab608530db740c163bd541912eec045848c0",
-      "bytes": 29802,
-      "rows": 3,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000330-0000-15be01be2bac501f.parquet",
-      "sha256": "15be01be2bac501fcd82a821c1d8180981b0bc47db143b1ffd1daefb109c1bce",
-      "bytes": 32222,
-      "rows": 3,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16543",
     "deepseek:thm_16544",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016547.lean\",\"c5e4914956948631e1e4958a593043924608973dbb068caecaab6151f231e545\",0,\"thm_16590\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016548.lean\",\"876b595c63dcb4ded85024c005f5fbfe64a085512c7864e3b7f6df269ef4b235\",0,\"thm_16591\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016549.lean\",\"058719baccda48c1e556d34b524dea7533ef776d3de45c5051d0b5b3fe43f1ad\",0,\"thm_16592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341381,
+      "path": "data/train/p9a/deepseek-000330-0000-0e5c5c9bef8118a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "0e5c5c9bef8118a5b44b56d58e4e62773eb23f409307c069199a83014ae42f55"
+    },
+    {
+      "bytes": 29802,
+      "path": "data/dev/p9a/deepseek-000330-0000-ee8848a293500bba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ee8848a293500bbaae1a3829d1f3ab608530db740c163bd541912eec045848c0"
+    },
+    {
+      "bytes": 32222,
+      "path": "data/internal_test/p9a/deepseek-000330-0000-15be01be2bac501f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "15be01be2bac501fcd82a821c1d8180981b0bc47db143b1ffd1daefb109c1bce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000331.json b/manifests/batches/deepseek/000331.json
index a8776e81c8fa5692a3088f41e46c5a98c007b9c2..7ff8d202cc1ba25ef70d45bc294e67f361b1a352 100644
--- a/manifests/batches/deepseek/000331.json
+++ b/manifests/batches/deepseek/000331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000331",
   "batch_fingerprint": "ec4e213dfc3445caeed3814c1b8d8a6af7cb94e45d661cbde9207916fa0240e8",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000331-0000-32ade1b19c19b650.parquet",
-      "sha256": "32ade1b19c19b6505a6d14909207c7e859190183d7fff0fc5bab523c0c360d1b",
-      "bytes": 326659,
-      "rows": 104,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/dev/deepseek-000331-0000-c23c0980041f5dc3.parquet",
-      "sha256": "c23c0980041f5dc3cc5ae45ba695a46507388cc3c52409202ba2b68b3d171829",
-      "bytes": 49984,
-      "rows": 10,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000331-0000-9df77353f7f32d48.parquet",
-      "sha256": "9df77353f7f32d48bdf728de3ac8bb7b55c7075c88c5d78462e2919ad5bf63f8",
-      "bytes": 41212,
-      "rows": 5,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16593",
     "deepseek:thm_16594",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016597.lean\",\"ed006121f02687ae6e92d8142758031adafca189c35b8ad726cd491dd285941b\",0,\"thm_16640\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016598.lean\",\"d24fd2bd28f4ae6b15d6c8e4af8607b6f28d45298227de91f6c84543db14b8f4\",0,\"thm_16641\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016599.lean\",\"dc4561fec30133bdbac24a526a99fd866674e83e2714dbb07d46d70d5336e158\",0,\"thm_16642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326659,
+      "path": "data/train/p66/deepseek-000331-0000-32ade1b19c19b650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "32ade1b19c19b6505a6d14909207c7e859190183d7fff0fc5bab523c0c360d1b"
+    },
+    {
+      "bytes": 49984,
+      "path": "data/dev/p66/deepseek-000331-0000-c23c0980041f5dc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c23c0980041f5dc3cc5ae45ba695a46507388cc3c52409202ba2b68b3d171829"
+    },
+    {
+      "bytes": 41212,
+      "path": "data/internal_test/p66/deepseek-000331-0000-9df77353f7f32d48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9df77353f7f32d48bdf728de3ac8bb7b55c7075c88c5d78462e2919ad5bf63f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000332.json b/manifests/batches/deepseek/000332.json
index 8cd7f6232281d4ec18324dd6bfc5fba19720eb89..e5725b1b436039285290312ddd9c8d912bdda575 100644
--- a/manifests/batches/deepseek/000332.json
+++ b/manifests/batches/deepseek/000332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000332",
   "batch_fingerprint": "c509653a93a4242ac0588296e68fa06ec1277088776aaed06f250faf146dd07a",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000332-0000-5b6499d5a5d1f66b.parquet",
-      "sha256": "5b6499d5a5d1f66bc0b56b1e3a193da35d602fa9c4c4c35e26e92ad2a7d4e95b",
-      "bytes": 372184,
-      "rows": 109,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/internal_test/deepseek-000332-0000-3dea26acc24ed04a.parquet",
-      "sha256": "3dea26acc24ed04a76d110daeec44667676e89004ce7c0871e94329bf7b3c7cc",
-      "bytes": 44988,
-      "rows": 9,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16643",
     "deepseek:thm_16644",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016647.lean\",\"7c1f4b845281c372666ac57ba19c4273958be40708607742834d6068adbe4f2e\",0,\"thm_16690\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016648.lean\",\"074ac38ac45ae7019157d21796897198997a87f76e5339afbbef1cfd528c2e0d\",0,\"thm_16691\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016649.lean\",\"6202e7796721658334513d1f1dfb4926556086dc2f927014ea35132b301c0989\",0,\"thm_16692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372184,
+      "path": "data/train/pfb/deepseek-000332-0000-5b6499d5a5d1f66b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "5b6499d5a5d1f66bc0b56b1e3a193da35d602fa9c4c4c35e26e92ad2a7d4e95b"
+    },
+    {
+      "bytes": 44988,
+      "path": "data/internal_test/pfb/deepseek-000332-0000-3dea26acc24ed04a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3dea26acc24ed04a76d110daeec44667676e89004ce7c0871e94329bf7b3c7cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000333.json b/manifests/batches/deepseek/000333.json
index e4ca45df7d29ddede723b142d9b4ede7eb386dd3..2433aa45c0fc08b4bf543cb236c44db4041b786e 100644
--- a/manifests/batches/deepseek/000333.json
+++ b/manifests/batches/deepseek/000333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000333",
   "batch_fingerprint": "7de6893cd458e1f62cf40ef3d6ed9e8877fcb0657603bddd1013826a2e7e70d2",
   "evidence": {
@@ -57,22 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000333-0000-6a95c1e57b96866d.parquet",
-      "sha256": "6a95c1e57b96866da4c44f2ef87fec3f3ca120cf731812e155593f7986f36686",
-      "bytes": 336151,
-      "rows": 103,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/deepseek-000333-0000-57c44a5c2e57cfe1.parquet",
-      "sha256": "57c44a5c2e57cfe1751403ea6253b51124fc0c12d4462c4ed36045812d0c7d23",
-      "bytes": 85386,
-      "rows": 23,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16693",
     "deepseek:thm_16694",
@@ -172,5 +156,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016697.lean\",\"38659e4e666bb81771de277382e65a05a0fda3f0cd2f0eb0f9af271ce94c41ee\",0,\"thm_16740\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016698.lean\",\"f4f59074a4cdfb5844b373ae3e4d6054a06cb905972eb3ce7b9bd9db92989038\",0,\"thm_16741\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016699.lean\",\"b627a807224f41ef4cd771485dda35301e4d7440ec53bef487746a4503e30840\",0,\"thm_16742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336151,
+      "path": "data/train/p57/deepseek-000333-0000-6a95c1e57b96866d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "6a95c1e57b96866da4c44f2ef87fec3f3ca120cf731812e155593f7986f36686"
+    },
+    {
+      "bytes": 85386,
+      "path": "data/internal_test/p57/deepseek-000333-0000-57c44a5c2e57cfe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "57c44a5c2e57cfe1751403ea6253b51124fc0c12d4462c4ed36045812d0c7d23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000334.json b/manifests/batches/deepseek/000334.json
index 2d67f11c0abc6cc29097364e21ae9685126a142c..70a4acffde2fe6c8c7b32d7a20b42621c56e737f 100644
--- a/manifests/batches/deepseek/000334.json
+++ b/manifests/batches/deepseek/000334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000334",
   "batch_fingerprint": "43242dd77544abce3e98f18d6b9d24f1a09140f23d31ad0162b8c30b0112aa74",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000334-0000-d6aa5e20c4026ddb.parquet",
-      "sha256": "d6aa5e20c4026ddbb279b083c167077a4af0821c0a1090c4e7a0eee9e6a80229",
-      "bytes": 334258,
-      "rows": 109,
-      "revision": "844c33b1550a75d27311c42cef4743940bf40e33"
-    },
-    {
-      "path": "data/dev/deepseek-000334-0000-0be48522ce6aaff8.parquet",
-      "sha256": "0be48522ce6aaff8dfb2f89d75224847bcf1dd65a36cb6a7f2841c1068c38d62",
-      "bytes": 47524,
-      "rows": 11,
-      "revision": "844c33b1550a75d27311c42cef4743940bf40e33"
-    },
-    {
-      "path": "data/internal_test/deepseek-000334-0000-c8b1416a5d457d08.parquet",
-      "sha256": "c8b1416a5d457d08b9ec44b118b4707fbff4d615cfaf750ead878f44c9dc014b",
-      "bytes": 46168,
-      "rows": 7,
-      "revision": "844c33b1550a75d27311c42cef4743940bf40e33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16743",
     "deepseek:thm_16744",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016747.lean\",\"a47b99b07eee37471de24eb4801fce70f0b06d3872d8231f93afb53f74db445b\",0,\"thm_16790\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016748.lean\",\"9143ae6d9fd6ab669b5ec6e0a5608825c53f7027bd29fe7e00977c4595411301\",0,\"thm_16791\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016749.lean\",\"b34e603edb025b1d3c2e4816cbb8f37fc75fd871f5e114c673c425181a2d9018\",0,\"thm_16792\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334258,
+      "path": "data/train/p1d/deepseek-000334-0000-d6aa5e20c4026ddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "d6aa5e20c4026ddbb279b083c167077a4af0821c0a1090c4e7a0eee9e6a80229"
+    },
+    {
+      "bytes": 47524,
+      "path": "data/dev/p1d/deepseek-000334-0000-0be48522ce6aaff8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0be48522ce6aaff8dfb2f89d75224847bcf1dd65a36cb6a7f2841c1068c38d62"
+    },
+    {
+      "bytes": 46168,
+      "path": "data/internal_test/p1d/deepseek-000334-0000-c8b1416a5d457d08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c8b1416a5d457d08b9ec44b118b4707fbff4d615cfaf750ead878f44c9dc014b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000335.json b/manifests/batches/deepseek/000335.json
index a3b72f8a29e3ef91d68f3746b2323ac60a9c527d..8a9e23184dbe23008bbc36e87a3f838df03b7f3d 100644
--- a/manifests/batches/deepseek/000335.json
+++ b/manifests/batches/deepseek/000335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000335",
   "batch_fingerprint": "d819924a36d12cb01adf85dd8e6e267b0e1b8ac60a0b894128594a8e978ae17f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000335-0000-30cc77b7ffb4ff7c.parquet",
-      "sha256": "30cc77b7ffb4ff7c8676ef2e199b6fdb5d40e65885d6256c221ba8353f20c673",
-      "bytes": 312254,
-      "rows": 96,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/deepseek-000335-0000-0cd6e0b6d6b11565.parquet",
-      "sha256": "0cd6e0b6d6b115653677a75412769fbe2674fd18f72a51b471ae0878d8619d4c",
-      "bytes": 48152,
-      "rows": 6,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/deepseek-000335-0000-7782aafba8afccc1.parquet",
-      "sha256": "7782aafba8afccc1af9f5ef64bcf28b518aa3a8883c9826ace22a34325c749a1",
-      "bytes": 51083,
-      "rows": 10,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16793",
     "deepseek:thm_16794",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016797.lean\",\"367cf6493afbabf282c298fccd50eae0558955ebe64df5cba2589df9ee957197\",0,\"thm_16840\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016798.lean\",\"ad771cfed9a493e566ab88d545be1cd8520516f119fbf0151bcb19c019f54c73\",0,\"thm_16841\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016799.lean\",\"3972757b76ce26851a4a25bee03151ea8e87123a7e614d0e094a17ecb56573d3\",0,\"thm_16842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312254,
+      "path": "data/train/p56/deepseek-000335-0000-30cc77b7ffb4ff7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "30cc77b7ffb4ff7c8676ef2e199b6fdb5d40e65885d6256c221ba8353f20c673"
+    },
+    {
+      "bytes": 48152,
+      "path": "data/dev/p56/deepseek-000335-0000-0cd6e0b6d6b11565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0cd6e0b6d6b115653677a75412769fbe2674fd18f72a51b471ae0878d8619d4c"
+    },
+    {
+      "bytes": 51083,
+      "path": "data/internal_test/p56/deepseek-000335-0000-7782aafba8afccc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7782aafba8afccc1af9f5ef64bcf28b518aa3a8883c9826ace22a34325c749a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000336.json b/manifests/batches/deepseek/000336.json
index ee2289cdf9073b873ab60dba59dd1882e3315ed5..5ccf5097808cdfd568cfc34ecd1955c371bd85a9 100644
--- a/manifests/batches/deepseek/000336.json
+++ b/manifests/batches/deepseek/000336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000336",
   "batch_fingerprint": "d3c9de7dbe00d8aca40cd39bf7e88973798e929c358ebcae3c4ab435ce928505",
   "evidence": {
@@ -64,29 +63,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000336-0000-f70244c396956c7f.parquet",
-      "sha256": "f70244c396956c7fbdd737606906c17f574e3107cb65a3a46af853f16b344860",
-      "bytes": 273671,
-      "rows": 89,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/deepseek-000336-0000-bd27dcb6a83b9fab.parquet",
-      "sha256": "bd27dcb6a83b9fab8b3beada3f884bdb23c8810ae13981a55edca222fa22cba8",
-      "bytes": 25001,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/deepseek-000336-0000-5ad82d9ba9e1820a.parquet",
-      "sha256": "5ad82d9ba9e1820aeab327cb2b2bd96e3fc0a845ecda3637f5cde281601dac9a",
-      "bytes": 94980,
-      "rows": 22,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16843",
     "deepseek:thm_16844",
@@ -186,5 +163,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016847.lean\",\"a509a588d34692dae93d7c8fc1ed2eb82d20b27ea89d33d79cd7a80311193db5\",0,\"thm_16890\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016848.lean\",\"c270a91d9babd7f5cbdfd9a208e0f65ebd0817868021bcf1d91afdb4ce69900f\",0,\"thm_16891\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016849.lean\",\"d8cea35f7bd5088b4e649eaeae0d65aa961bd91a20694db4047aacfce7baafb3\",0,\"thm_16892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273671,
+      "path": "data/train/p7a/deepseek-000336-0000-f70244c396956c7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "f70244c396956c7fbdd737606906c17f574e3107cb65a3a46af853f16b344860"
+    },
+    {
+      "bytes": 25001,
+      "path": "data/dev/p7a/deepseek-000336-0000-bd27dcb6a83b9fab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bd27dcb6a83b9fab8b3beada3f884bdb23c8810ae13981a55edca222fa22cba8"
+    },
+    {
+      "bytes": 94980,
+      "path": "data/internal_test/p7a/deepseek-000336-0000-5ad82d9ba9e1820a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5ad82d9ba9e1820aeab327cb2b2bd96e3fc0a845ecda3637f5cde281601dac9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000337.json b/manifests/batches/deepseek/000337.json
index 7ee8a0da7729a702a64bdbbcf3e7f16a25697bf2..ce6ede2cc8159f021ded146bfec02309c773534d 100644
--- a/manifests/batches/deepseek/000337.json
+++ b/manifests/batches/deepseek/000337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000337",
   "batch_fingerprint": "8907fa428422b9cd79bb833dd1dc3ad8b9c0f0196213a04028b5547be057a1e2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000337-0000-9e52553f98bc1cf4.parquet",
-      "sha256": "9e52553f98bc1cf447e058322a3d6425bac329197dd730bbe54d35d8b86158bb",
-      "bytes": 329630,
-      "rows": 103,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/deepseek-000337-0000-e766c594f19ce25e.parquet",
-      "sha256": "e766c594f19ce25edcccc9005aec38c8d099e50952c2210377558a7227c8b7fc",
-      "bytes": 43321,
-      "rows": 5,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/deepseek-000337-0000-530cd96317f9f998.parquet",
-      "sha256": "530cd96317f9f99874904af245a447275c1b246dc86d40af3159dafa94cc21e3",
-      "bytes": 55045,
-      "rows": 12,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16893",
     "deepseek:thm_16894",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016897.lean\",\"603795620b7a7ee0104c33f67f2acb26b1bc1ccd8f0bc9990215f61f7100d310\",0,\"thm_16940\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016898.lean\",\"80ec043dba1e74aa93bc46c559af6b6f4c108446a154466b392fbf8c71e3e091\",0,\"thm_16941\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016899.lean\",\"f91b3dfe5ee9551dbf224aba21db11e460c7ccea6215faa43a106c89a14932f7\",0,\"thm_16942\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329630,
+      "path": "data/train/p86/deepseek-000337-0000-9e52553f98bc1cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "9e52553f98bc1cf447e058322a3d6425bac329197dd730bbe54d35d8b86158bb"
+    },
+    {
+      "bytes": 43321,
+      "path": "data/dev/p86/deepseek-000337-0000-e766c594f19ce25e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e766c594f19ce25edcccc9005aec38c8d099e50952c2210377558a7227c8b7fc"
+    },
+    {
+      "bytes": 55045,
+      "path": "data/internal_test/p86/deepseek-000337-0000-530cd96317f9f998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "530cd96317f9f99874904af245a447275c1b246dc86d40af3159dafa94cc21e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000338.json b/manifests/batches/deepseek/000338.json
index 6fd66030090477dbab2b7f72ed249881442caeb8..652e802096b8e224d68b06381d89603946d3550e 100644
--- a/manifests/batches/deepseek/000338.json
+++ b/manifests/batches/deepseek/000338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000338",
   "batch_fingerprint": "6144dac85f179614b1476c0bd53a10518a8e2ac09b64c04e7541063e470a7af0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000338-0000-9ea76b2dada496b0.parquet",
-      "sha256": "9ea76b2dada496b06cad3501cf73c1c9e28531d5637b2e4cc2bc97f360360e40",
-      "bytes": 398393,
-      "rows": 121,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000338-0000-93c1c918ea3eaab3.parquet",
-      "sha256": "93c1c918ea3eaab3ff22fb2c85966247603550710e9478284dd16874b43fc774",
-      "bytes": 27407,
-      "rows": 3,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000338-0000-1f5123b2e4b865ee.parquet",
-      "sha256": "1f5123b2e4b865ee04d1e5b956ea01fb11f4235a9364f2c18dd85261c9b0606f",
-      "bytes": 49909,
-      "rows": 8,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16943",
     "deepseek:thm_16944",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016947.lean\",\"21ba55ef4dd8d4c657f59d4391933a5e79aadbc25c1b542db20a0bff93a8314e\",0,\"thm_16990\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016948.lean\",\"46b21fe01b890b5d5ca89be72cea27b63593a581f218a1683b14148a9be0add1\",0,\"thm_16991\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016949.lean\",\"98a1708e9bd37aea15412604c62fa0362d3d0337434f76c9e86b0bf1f368d3e4\",0,\"thm_16992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398393,
+      "path": "data/train/pfe/deepseek-000338-0000-9ea76b2dada496b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 121,
+      "sha256": "9ea76b2dada496b06cad3501cf73c1c9e28531d5637b2e4cc2bc97f360360e40"
+    },
+    {
+      "bytes": 27407,
+      "path": "data/dev/pfe/deepseek-000338-0000-93c1c918ea3eaab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "93c1c918ea3eaab3ff22fb2c85966247603550710e9478284dd16874b43fc774"
+    },
+    {
+      "bytes": 49909,
+      "path": "data/internal_test/pfe/deepseek-000338-0000-1f5123b2e4b865ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1f5123b2e4b865ee04d1e5b956ea01fb11f4235a9364f2c18dd85261c9b0606f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000339.json b/manifests/batches/deepseek/000339.json
index 0471c72839721a20baba28e53a0f501b8fbd4f09..8a9a79b43d148d5dc978a015183b8e96dd0d4146 100644
--- a/manifests/batches/deepseek/000339.json
+++ b/manifests/batches/deepseek/000339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000339",
   "batch_fingerprint": "325ded8f32b8d2ed9261c19d4b2e57006fab65097c2fbd2b32fcb03b70c8759d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000339-0000-5a3585cf8f299100.parquet",
-      "sha256": "5a3585cf8f29910072d11d4d9c2aaa71f4d59df69862b728e44cd0e3e73e4149",
-      "bytes": 342362,
-      "rows": 100,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000339-0000-74c2288f60f3473e.parquet",
-      "sha256": "74c2288f60f3473ec33c22865f5a8568c382ad97fc23932e2eb5cd763dffa6ab",
-      "bytes": 41937,
-      "rows": 4,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000339-0000-499dcba11baad7db.parquet",
-      "sha256": "499dcba11baad7db7decc788cf7e8f21d084d05df6709e85222eb3e9d316bf1f",
-      "bytes": 45143,
-      "rows": 8,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_16993",
     "deepseek:thm_16994",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016997.lean\",\"1068240bb3ec2c78f13da835369da650605cf7acb5896196d1b896f35ba61e73\",0,\"thm_17040\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016998.lean\",\"0b3fd64a29ebe438da586cc867342bb1693407a34367f5e596141c96a60247db\",0,\"thm_17041\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_016999.lean\",\"6aba884dd4c2689e53f55c08264858ef6ae26a8b6a51caed33c3be93f04f4a5d\",0,\"thm_17042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342362,
+      "path": "data/train/pe2/deepseek-000339-0000-5a3585cf8f299100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "5a3585cf8f29910072d11d4d9c2aaa71f4d59df69862b728e44cd0e3e73e4149"
+    },
+    {
+      "bytes": 41937,
+      "path": "data/dev/pe2/deepseek-000339-0000-74c2288f60f3473e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "74c2288f60f3473ec33c22865f5a8568c382ad97fc23932e2eb5cd763dffa6ab"
+    },
+    {
+      "bytes": 45143,
+      "path": "data/internal_test/pe2/deepseek-000339-0000-499dcba11baad7db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "499dcba11baad7db7decc788cf7e8f21d084d05df6709e85222eb3e9d316bf1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000340.json b/manifests/batches/deepseek/000340.json
index 74ba0d84c7d4df43f60ca3ccf4b558e47ec0a08a..ae307dfe36eb34ca3401ff719fdb0d1bd812e7da 100644
--- a/manifests/batches/deepseek/000340.json
+++ b/manifests/batches/deepseek/000340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000340",
   "batch_fingerprint": "9e7554e8a0fb044e1608e5d826569e1412be419ce07d6b4b7508a8c0ccc9d6f4",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000340-0000-5369d7a619bd1c3c.parquet",
-      "sha256": "5369d7a619bd1c3c3bef95d01f79392d64d1cc62def455d29fd7da7091f7e01e",
-      "bytes": 329489,
-      "rows": 114,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000340-0000-153eee1203c6f46d.parquet",
-      "sha256": "153eee1203c6f46de02f3c0a30318d241cda9b1dd6c3a7c1ff99d875b1f5bfce",
-      "bytes": 30424,
-      "rows": 1,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000340-0000-d503c164190e3fce.parquet",
-      "sha256": "d503c164190e3fce5c50fb298150a084529bc3f4f029f96320fb29531b2d87bc",
-      "bytes": 47506,
-      "rows": 8,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17043",
     "deepseek:thm_17044",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017047.lean\",\"31fb1a39db7ed8db8817b68281f28a6bee741464a51672330e1a5aac17b8ae5f\",0,\"thm_17090\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017048.lean\",\"f508d8b9772e76beb55e006c46d5131a23e86a8f6689447100cd6737eb642a16\",0,\"thm_17091\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017049.lean\",\"47cdbfbcfab3b30b352439b4330edad670207532423d4b69aae205250c92ec1f\",0,\"thm_17092\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329489,
+      "path": "data/train/pa1/deepseek-000340-0000-5369d7a619bd1c3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "5369d7a619bd1c3c3bef95d01f79392d64d1cc62def455d29fd7da7091f7e01e"
+    },
+    {
+      "bytes": 30424,
+      "path": "data/dev/pa1/deepseek-000340-0000-153eee1203c6f46d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "153eee1203c6f46de02f3c0a30318d241cda9b1dd6c3a7c1ff99d875b1f5bfce"
+    },
+    {
+      "bytes": 47506,
+      "path": "data/internal_test/pa1/deepseek-000340-0000-d503c164190e3fce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d503c164190e3fce5c50fb298150a084529bc3f4f029f96320fb29531b2d87bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000341.json b/manifests/batches/deepseek/000341.json
index 39fe7c9f6982d4fe5496d50fc0794b0656dbe131..3501adf077de2bd9de6cffd1c925d57a916f7616 100644
--- a/manifests/batches/deepseek/000341.json
+++ b/manifests/batches/deepseek/000341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000341",
   "batch_fingerprint": "0cbb8b802e221a2c1b09d3725e4f8aa8c8e6d16ca7063f4bdb1de83e37088128",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000341-0000-e0b843d819ed7a12.parquet",
-      "sha256": "e0b843d819ed7a12e9773f63709eb478ea64f17cdbedccb3d5cd595498b5078e",
-      "bytes": 327675,
-      "rows": 92,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000341-0000-d07ec7722d0e6cad.parquet",
-      "sha256": "d07ec7722d0e6cad63d8720c56cdb9bbdee5b07a8b1117952f347047d2ffc3e5",
-      "bytes": 56258,
-      "rows": 9,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000341-0000-528433f0ae39cad3.parquet",
-      "sha256": "528433f0ae39cad397ebde0af4dad399125062644b85addaad4f4e034788100c",
-      "bytes": 44414,
-      "rows": 11,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17093",
     "deepseek:thm_17094",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017097.lean\",\"44ce30df7f7de41cb7150a41f1a0b6e3245614f1b82ff7522b7458920cb47d0e\",0,\"thm_17140\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017098.lean\",\"6f13d20edd4ad3d46bce68bf3dac60537f97157c05e3080a061a078e6e48dbe7\",0,\"thm_17141\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017099.lean\",\"2b5b6ca17b192709b050503dc73a12cd22a8cc296b77c79a7239d39949994a4f\",0,\"thm_17142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327675,
+      "path": "data/train/p2e/deepseek-000341-0000-e0b843d819ed7a12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "e0b843d819ed7a12e9773f63709eb478ea64f17cdbedccb3d5cd595498b5078e"
+    },
+    {
+      "bytes": 56258,
+      "path": "data/dev/p2e/deepseek-000341-0000-d07ec7722d0e6cad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d07ec7722d0e6cad63d8720c56cdb9bbdee5b07a8b1117952f347047d2ffc3e5"
+    },
+    {
+      "bytes": 44414,
+      "path": "data/internal_test/p2e/deepseek-000341-0000-528433f0ae39cad3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "528433f0ae39cad397ebde0af4dad399125062644b85addaad4f4e034788100c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000342.json b/manifests/batches/deepseek/000342.json
index 6be6c4c98f4161252d94c58845be975ed99b3626..807655f5afac269837ffd7feffe581414b063016 100644
--- a/manifests/batches/deepseek/000342.json
+++ b/manifests/batches/deepseek/000342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000342",
   "batch_fingerprint": "f9a871ffe4b5be77784996b430442922c6ed426c116128f350651aefa82d85ef",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000342-0000-d5b08f2078060f7b.parquet",
-      "sha256": "d5b08f2078060f7bd0fd90fe5ed615e385ba1200c63f0d38f9473cd96355d793",
-      "bytes": 131341,
-      "rows": 25,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/train/deepseek-000342-0001-48f9f76f3409a652.parquet",
-      "sha256": "48f9f76f3409a6526a53dc5dc33371fd679748587a796f3c0cddc0a2e5de5025",
-      "bytes": 289596,
-      "rows": 77,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000342-0000-85afb708ab3a0fb5.parquet",
-      "sha256": "85afb708ab3a0fb56cfcc7ce0320fd43106bfca4f7a7351ad85121a0a90eebac",
-      "bytes": 46808,
-      "rows": 12,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17143",
     "deepseek:thm_17144",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017147.lean\",\"80d69a4a7630e8a5327f5a51dfb317d7428ddd09869462878d16d625b66349c6\",0,\"thm_17190\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017148.lean\",\"3142c0e20804f61cc9017f17255202e4c40ff51596799da61784513de9c95687\",0,\"thm_17191\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017149.lean\",\"a04ba2402d8e8e4697d6a7a7cc959c132ca281619c9f80d57453493640be3f99\",0,\"thm_17192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131341,
+      "path": "data/train/pe7/deepseek-000342-0000-d5b08f2078060f7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d5b08f2078060f7bd0fd90fe5ed615e385ba1200c63f0d38f9473cd96355d793"
+    },
+    {
+      "bytes": 289596,
+      "path": "data/train/pe7/deepseek-000342-0001-48f9f76f3409a652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "48f9f76f3409a6526a53dc5dc33371fd679748587a796f3c0cddc0a2e5de5025"
+    },
+    {
+      "bytes": 46808,
+      "path": "data/internal_test/pe7/deepseek-000342-0000-85afb708ab3a0fb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "85afb708ab3a0fb56cfcc7ce0320fd43106bfca4f7a7351ad85121a0a90eebac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000343.json b/manifests/batches/deepseek/000343.json
index bd60af5d3623d912c6eee8f45feca3933346bca9..2e05a7ac8d5387bb8b037721ee1158dbeb258ab9 100644
--- a/manifests/batches/deepseek/000343.json
+++ b/manifests/batches/deepseek/000343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000343",
   "batch_fingerprint": "b03fe6fdd99452c6e12720478468755c1ad2647b9f6c66c786c4353966b329a9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000343-0000-fbf2bb81eb71d29e.parquet",
-      "sha256": "fbf2bb81eb71d29e6d06737563afde7faca0fdd1a95398400d77107f0110b001",
-      "bytes": 306585,
-      "rows": 97,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000343-0000-cee8c04a3e5ad1a5.parquet",
-      "sha256": "cee8c04a3e5ad1a548a5d8225d82630713f4526996d9b695637cfd9980c34942",
-      "bytes": 68388,
-      "rows": 13,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000343-0000-1e2abf1a627754f2.parquet",
-      "sha256": "1e2abf1a627754f22628341d5e97bfb2e9b1c563d4a965cd2626dd0c3dbe170f",
-      "bytes": 64832,
-      "rows": 13,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17193",
     "deepseek:thm_17194",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017197.lean\",\"b8ca55718de355356f796a3df20280419c6ef0a03d00be05497139df0fb081d6\",0,\"thm_17240\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017198.lean\",\"465219900811d1b6b14df7081d471cd6e36094d6b1325126bbb92fbb8a265a72\",0,\"thm_17241\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017199.lean\",\"acb38f83d879603ffe971be1420ccdd02b35cd1ade290f3d115a07c46ca00822\",0,\"thm_17242\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306585,
+      "path": "data/train/p47/deepseek-000343-0000-fbf2bb81eb71d29e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "fbf2bb81eb71d29e6d06737563afde7faca0fdd1a95398400d77107f0110b001"
+    },
+    {
+      "bytes": 68388,
+      "path": "data/dev/p47/deepseek-000343-0000-cee8c04a3e5ad1a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cee8c04a3e5ad1a548a5d8225d82630713f4526996d9b695637cfd9980c34942"
+    },
+    {
+      "bytes": 64832,
+      "path": "data/internal_test/p47/deepseek-000343-0000-1e2abf1a627754f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1e2abf1a627754f22628341d5e97bfb2e9b1c563d4a965cd2626dd0c3dbe170f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000344.json b/manifests/batches/deepseek/000344.json
index bd32e519320b38ea42ee61dec2f70fbedab0fb6e..90c918849f7572a496ffcb807390acd8ef7ed769 100644
--- a/manifests/batches/deepseek/000344.json
+++ b/manifests/batches/deepseek/000344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000344",
   "batch_fingerprint": "f8192f7ab6b6fadae0004cf112850b302b0cd2c2c296cad96e232b93e2afc06a",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000344-0000-cf9bd35cb875c347.parquet",
-      "sha256": "cf9bd35cb875c34771e6c590c2ee657f0931e626a4920f76d6440d1ad29d5938",
-      "bytes": 328584,
-      "rows": 101,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/dev/deepseek-000344-0000-c01f33f718576746.parquet",
-      "sha256": "c01f33f718576746b9169288571e722c2f0fdef28a796f7938c666899d085140",
-      "bytes": 45879,
-      "rows": 8,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000344-0000-44bb52b27f4ca091.parquet",
-      "sha256": "44bb52b27f4ca09108b994ba4d7fad2eb7311055ce18966921bea2b85751b84f",
-      "bytes": 28245,
-      "rows": 2,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17243",
     "deepseek:thm_17244",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017247.lean\",\"3291e0be8c5f1ce3d1ce023ce982973d77cbd87b03706eb3c06480f39b24e997\",0,\"thm_17290\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017248.lean\",\"d5cbf9b77a7d31d6521e620955664f6c95ed9322e9114cfdcb4faf45f3127eed\",0,\"thm_17291\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017249.lean\",\"204300a61ba31588043b0d72be03eeb6b1f27afdab5b593c439a8b693d3883b7\",0,\"thm_17292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328584,
+      "path": "data/train/pf6/deepseek-000344-0000-cf9bd35cb875c347.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "cf9bd35cb875c34771e6c590c2ee657f0931e626a4920f76d6440d1ad29d5938"
+    },
+    {
+      "bytes": 45879,
+      "path": "data/dev/pf6/deepseek-000344-0000-c01f33f718576746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c01f33f718576746b9169288571e722c2f0fdef28a796f7938c666899d085140"
+    },
+    {
+      "bytes": 28245,
+      "path": "data/internal_test/pf6/deepseek-000344-0000-44bb52b27f4ca091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "44bb52b27f4ca09108b994ba4d7fad2eb7311055ce18966921bea2b85751b84f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000345.json b/manifests/batches/deepseek/000345.json
index 112c24106f7025301bd33354dae1113ab5a69cc9..1e6eb5f4fcb31eea2c4398ad0bc58955d64cb9e4 100644
--- a/manifests/batches/deepseek/000345.json
+++ b/manifests/batches/deepseek/000345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000345",
   "batch_fingerprint": "736c9e1a2c9db752507f9affc07f39304f26b58c8d38f2ef93a190c7e7fb3d0c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000345-0000-9e36413c24e954e1.parquet",
-      "sha256": "9e36413c24e954e10c0afa2288b0bbda576be40621bba7b32cc049eed4381016",
-      "bytes": 429081,
-      "rows": 129,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/deepseek-000345-0000-a2ab16b576abe11c.parquet",
-      "sha256": "a2ab16b576abe11cbd08e95e1004523cec16fb96f711b865e4a9ba8e320d1505",
-      "bytes": 36877,
-      "rows": 2,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/deepseek-000345-0000-03da0daba60958f0.parquet",
-      "sha256": "03da0daba60958f0a9c218c96d794fef46c6d0344f6495680428652dcac61ad3",
-      "bytes": 40323,
-      "rows": 7,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17293",
     "deepseek:thm_17294",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017297.lean\",\"d64eaccf9aa2d9a962b6c41d2617170510b705a59964ce01e7c7e1a915057a70\",0,\"thm_17340\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017298.lean\",\"7b3e9d0f985a5d7d6b5890f294572f0d9c45ad5a05f43815cc3a22f66fd2556e\",0,\"thm_17341\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017299.lean\",\"b07dc2001180cb27dada91b085e49728850c1d6171ebcdc7e4578d7cc339b183\",0,\"thm_17342\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429081,
+      "path": "data/train/pb3/deepseek-000345-0000-9e36413c24e954e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 129,
+      "sha256": "9e36413c24e954e10c0afa2288b0bbda576be40621bba7b32cc049eed4381016"
+    },
+    {
+      "bytes": 36877,
+      "path": "data/dev/pb3/deepseek-000345-0000-a2ab16b576abe11c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a2ab16b576abe11cbd08e95e1004523cec16fb96f711b865e4a9ba8e320d1505"
+    },
+    {
+      "bytes": 40323,
+      "path": "data/internal_test/pb3/deepseek-000345-0000-03da0daba60958f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "03da0daba60958f0a9c218c96d794fef46c6d0344f6495680428652dcac61ad3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000346.json b/manifests/batches/deepseek/000346.json
index 2437fb74068b113eeb5c39bc44e59b2e6009dae3..35eb850872b9bf6424ab0d7848ee46d5dd399a50 100644
--- a/manifests/batches/deepseek/000346.json
+++ b/manifests/batches/deepseek/000346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000346",
   "batch_fingerprint": "99475cbc2eaf6b3153950363f5bdf126ab487d3276aef69d58eeefe2328c009c",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000346-0000-902c61e98542c5c6.parquet",
-      "sha256": "902c61e98542c5c68a0a4e425668d282a6236b4d17143d6b621cf48d69876e8f",
-      "bytes": 303485,
-      "rows": 97,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    },
-    {
-      "path": "data/internal_test/deepseek-000346-0000-d275b0584e686791.parquet",
-      "sha256": "d275b0584e686791ca6882f142eb4672d28b2695ff6b6bc7fa41776ed5f1af23",
-      "bytes": 87662,
-      "rows": 20,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17343",
     "deepseek:thm_17344",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017347.lean\",\"a9762bd16b8f122262ebf3e734e9d0b42bd637301f453c835d409801bfa3e644\",0,\"thm_17390\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017348.lean\",\"4d5250f18c0975503c91dae7a477d2914022d0ab7c8600c9ac0e4fc79ffd14fc\",0,\"thm_17391\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017349.lean\",\"6ef11e6fb2a6a356338adeb88ddfc6d8e37ff7b9b3145a7fc4f4edf7d1b313af\",0,\"thm_17392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303485,
+      "path": "data/train/p29/deepseek-000346-0000-902c61e98542c5c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "902c61e98542c5c68a0a4e425668d282a6236b4d17143d6b621cf48d69876e8f"
+    },
+    {
+      "bytes": 87662,
+      "path": "data/internal_test/p29/deepseek-000346-0000-d275b0584e686791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d275b0584e686791ca6882f142eb4672d28b2695ff6b6bc7fa41776ed5f1af23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000347.json b/manifests/batches/deepseek/000347.json
index 54df719fdee7aa9ed3d586ff9dacf16260e2ab9e..3275456bffaafdd798d6f06531ab82856db7e01f 100644
--- a/manifests/batches/deepseek/000347.json
+++ b/manifests/batches/deepseek/000347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000347",
   "batch_fingerprint": "d9d4e51dacd621ca5f349cb6fa3600f2a8a85d0d3e473e9fae620b43020b547b",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000347-0000-0a96d9fa49954c38.parquet",
-      "sha256": "0a96d9fa49954c38e7fb0c0405da24fb71aa69c7cf00bacacc7f95e19f954dac",
-      "bytes": 270919,
-      "rows": 87,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/deepseek-000347-0000-33cfbbdc5eea565c.parquet",
-      "sha256": "33cfbbdc5eea565cb0a57db0a008a59b5a3b1f805ece0de3910ca268e2ab50a0",
-      "bytes": 55645,
-      "rows": 13,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000347-0000-7933d982396de56f.parquet",
-      "sha256": "7933d982396de56f2f7d8813926181e7eeee39b9b2a04c8f7f0bf6dae08035b3",
-      "bytes": 67289,
-      "rows": 11,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17393",
     "deepseek:thm_17394",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017397.lean\",\"bb3d37b10ac510bc5322e14a7760a0c878860150114cc255ea2882826f196426\",0,\"thm_17440\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017398.lean\",\"fb20f9ac7093bd4ca987c84296b0e96b7b65af9a20fb901d8e2f2af336bc0baf\",0,\"thm_17441\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017399.lean\",\"be58e4ce91509234e89b1731578ee52b9f3795f900fbeae313ff0295312504b8\",0,\"thm_17442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270919,
+      "path": "data/train/pd7/deepseek-000347-0000-0a96d9fa49954c38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "0a96d9fa49954c38e7fb0c0405da24fb71aa69c7cf00bacacc7f95e19f954dac"
+    },
+    {
+      "bytes": 55645,
+      "path": "data/dev/pd7/deepseek-000347-0000-33cfbbdc5eea565c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "33cfbbdc5eea565cb0a57db0a008a59b5a3b1f805ece0de3910ca268e2ab50a0"
+    },
+    {
+      "bytes": 67289,
+      "path": "data/internal_test/pd7/deepseek-000347-0000-7933d982396de56f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7933d982396de56f2f7d8813926181e7eeee39b9b2a04c8f7f0bf6dae08035b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000348.json b/manifests/batches/deepseek/000348.json
index e38e961d4d4e1fa15c8e62fcecb9738f497cb90d..493f54c06e56c9b23105a02331a021b0ffd7a35a 100644
--- a/manifests/batches/deepseek/000348.json
+++ b/manifests/batches/deepseek/000348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000348",
   "batch_fingerprint": "f8fdaf5d4e8f168c4a05997b8379a51ae387a4e840078d16dc8b0e1cf1bacaf6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000348-0000-e170586ade0ac9b1.parquet",
-      "sha256": "e170586ade0ac9b1f1cdc98064bcdae4fdd71e8e957d7ed04388a3919282772b",
-      "bytes": 304022,
-      "rows": 94,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/deepseek-000348-0000-f8f7bb0b207e110c.parquet",
-      "sha256": "f8f7bb0b207e110c4311466e4db784c5b9f46dfa9940688f50e992a1190a5467",
-      "bytes": 34233,
-      "rows": 5,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000348-0000-07b277efcc294c68.parquet",
-      "sha256": "07b277efcc294c68339aeb2a5e17982c93e37af20e921729e1b362c992e6ec2a",
-      "bytes": 58163,
-      "rows": 18,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17443",
     "deepseek:thm_17444",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017447.lean\",\"f507c03e452e1216c9ab1d6617956458f5d5cf3689e0f3b792bde4046e2992a9\",0,\"thm_17490\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017448.lean\",\"e2853a6e762dc764ade7a9111025c5e8f7c9a679043c415311da1cc72a6ede81\",0,\"thm_17491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017449.lean\",\"c0dfa2b5091af75088d7587b4e9400e8ab43ab2e141c3d52b37b1438dd336daf\",0,\"thm_17492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304022,
+      "path": "data/train/pcb/deepseek-000348-0000-e170586ade0ac9b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "e170586ade0ac9b1f1cdc98064bcdae4fdd71e8e957d7ed04388a3919282772b"
+    },
+    {
+      "bytes": 34233,
+      "path": "data/dev/pcb/deepseek-000348-0000-f8f7bb0b207e110c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f8f7bb0b207e110c4311466e4db784c5b9f46dfa9940688f50e992a1190a5467"
+    },
+    {
+      "bytes": 58163,
+      "path": "data/internal_test/pcb/deepseek-000348-0000-07b277efcc294c68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "07b277efcc294c68339aeb2a5e17982c93e37af20e921729e1b362c992e6ec2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000349.json b/manifests/batches/deepseek/000349.json
index d1f963f1eb2e5775208ffb065b437f7bc2793aa6..8eb12f18d12a73fbce4d4acec4355e8c965e5f19 100644
--- a/manifests/batches/deepseek/000349.json
+++ b/manifests/batches/deepseek/000349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000349",
   "batch_fingerprint": "7288cca444906671eb15b28976758fd60902e71edf74c58fbe43bab395d19c18",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000349-0000-4370eebd6b811f6e.parquet",
-      "sha256": "4370eebd6b811f6e040735beb1983f97c5dec98190ff54336362df4d8581b2a5",
-      "bytes": 284465,
-      "rows": 94,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000349-0000-13cff3103d06fcc7.parquet",
-      "sha256": "13cff3103d06fcc7843ebdee7f7481f419a0bb390e39611c9526d7597c3da619",
-      "bytes": 51967,
-      "rows": 15,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17493",
     "deepseek:thm_17494",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017497.lean\",\"4ce5cf82d977e001a821459828767adc26cdf4cf10d8274d7f2319b18b354b59\",0,\"thm_17541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017498.lean\",\"205cad55b4b2fba12ea5ee015d1947eb7e547681d03d405a5efa5ed65ecf37d5\",0,\"thm_17542\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017499.lean\",\"7b04b78b775ea55d33a52c793d6a9b56a538659dee1d62e4a48da3ba808fd2d3\",0,\"thm_17543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284465,
+      "path": "data/train/p1b/deepseek-000349-0000-4370eebd6b811f6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "4370eebd6b811f6e040735beb1983f97c5dec98190ff54336362df4d8581b2a5"
+    },
+    {
+      "bytes": 51967,
+      "path": "data/internal_test/p1b/deepseek-000349-0000-13cff3103d06fcc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "13cff3103d06fcc7843ebdee7f7481f419a0bb390e39611c9526d7597c3da619"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000350.json b/manifests/batches/deepseek/000350.json
index 6276700ca84d54fe74bdd89e8b935ffae2f42b8f..d4062c68258e37592acbdb7863ca323d45010a15 100644
--- a/manifests/batches/deepseek/000350.json
+++ b/manifests/batches/deepseek/000350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000350",
   "batch_fingerprint": "3003a074c627d927732e0df664c32e2f967449cdb70f3e65a9860fc52fdc0fab",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000350-0000-12c823be672ee28c.parquet",
-      "sha256": "12c823be672ee28c982296a5bc10d914e3a46b2bd07f47c6351bedeb31a7c34a",
-      "bytes": 273281,
-      "rows": 96,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/dev/deepseek-000350-0000-33da15b69030acb0.parquet",
-      "sha256": "33da15b69030acb0f919c9906c8cb52209bb5c6c10b7ec16f0a11d1bb0d586e0",
-      "bytes": 45260,
-      "rows": 10,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000350-0000-d65b95a8458daa18.parquet",
-      "sha256": "d65b95a8458daa18069f0b6ad8d339163bd34415d9cf401430f87b1e60f28b7d",
-      "bytes": 66900,
-      "rows": 12,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17544",
     "deepseek:thm_17545",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017547.lean\",\"d8939783049eff61b54ee123d7dc3e360c169c2d9267362d4711f8fc67338118\",0,\"thm_17591\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017548.lean\",\"68cfd7695f8627c9f3b57f0203a997f4008ee4fe7afb50b897e46fed2c5622fa\",0,\"thm_17592\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017549.lean\",\"d7b12e80fa076eb4f67bffd3342120943e6039b693801fd826abb20b4968de4a\",0,\"thm_17593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273281,
+      "path": "data/train/p21/deepseek-000350-0000-12c823be672ee28c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "12c823be672ee28c982296a5bc10d914e3a46b2bd07f47c6351bedeb31a7c34a"
+    },
+    {
+      "bytes": 45260,
+      "path": "data/dev/p21/deepseek-000350-0000-33da15b69030acb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "33da15b69030acb0f919c9906c8cb52209bb5c6c10b7ec16f0a11d1bb0d586e0"
+    },
+    {
+      "bytes": 66900,
+      "path": "data/internal_test/p21/deepseek-000350-0000-d65b95a8458daa18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d65b95a8458daa18069f0b6ad8d339163bd34415d9cf401430f87b1e60f28b7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000351.json b/manifests/batches/deepseek/000351.json
index bdb680ffb63fac4aa20b41002feb32311f957d8c..bd733417ffe9c1466e3b968f9cb944e317af7515 100644
--- a/manifests/batches/deepseek/000351.json
+++ b/manifests/batches/deepseek/000351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000351",
   "batch_fingerprint": "83496e15125df8d7a3beaac773b0327435a21b896887fbeeb006b77193ca50e8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000351-0000-6e1149dbdc6d3641.parquet",
-      "sha256": "6e1149dbdc6d3641d223612d7438b89375571e3bda675d7ed89079221597b00c",
-      "bytes": 310492,
-      "rows": 99,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/deepseek-000351-0000-12150fe8411dc518.parquet",
-      "sha256": "12150fe8411dc51801e1e4df607c82b961bc56ea38a64cff83eade97191ee2db",
-      "bytes": 40707,
-      "rows": 7,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000351-0000-77d05ab17d51db55.parquet",
-      "sha256": "77d05ab17d51db550929f414f520f46f96d13a1302a32adf8a0379afa4c706f8",
-      "bytes": 64380,
-      "rows": 11,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17594",
     "deepseek:thm_17595",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017597.lean\",\"20c5fa4d7e754fcce6ebe04ff22e196c3fb22d8f0208a5814b8a162445f09573\",0,\"thm_17641\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017598.lean\",\"3494c8c0a4ee636073bdff6a9eb8fc7dea2db87255d073a2254af99bcd4f7b0b\",0,\"thm_17642\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017599.lean\",\"ff49d16c0c8b982e2c7c5fb38c6479fe06a7f3d7986476a979a26c97ca4ab44e\",0,\"thm_17643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310492,
+      "path": "data/train/p7b/deepseek-000351-0000-6e1149dbdc6d3641.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "6e1149dbdc6d3641d223612d7438b89375571e3bda675d7ed89079221597b00c"
+    },
+    {
+      "bytes": 40707,
+      "path": "data/dev/p7b/deepseek-000351-0000-12150fe8411dc518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "12150fe8411dc51801e1e4df607c82b961bc56ea38a64cff83eade97191ee2db"
+    },
+    {
+      "bytes": 64380,
+      "path": "data/internal_test/p7b/deepseek-000351-0000-77d05ab17d51db55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "77d05ab17d51db550929f414f520f46f96d13a1302a32adf8a0379afa4c706f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000352.json b/manifests/batches/deepseek/000352.json
index 0e7058479ec7e08f9259a9d1bb2e15b58c107e96..52c73827fe8a388b2cf6ded6999fd55721455362 100644
--- a/manifests/batches/deepseek/000352.json
+++ b/manifests/batches/deepseek/000352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000352",
   "batch_fingerprint": "2335ce0683ec7e78206d3834046baad66ca3ed7a1fab886d2e62f386279f89c3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000352-0000-f05c9350198b8c6c.parquet",
-      "sha256": "f05c9350198b8c6cf165447c9e5cdd3803dae9c5ee4c77ce6ce0e5be5763fb4b",
-      "bytes": 352548,
-      "rows": 108,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/deepseek-000352-0000-a066c337d759bc89.parquet",
-      "sha256": "a066c337d759bc8969d409e4126152db82380c7e0643c11b04620bac23d1bd03",
-      "bytes": 37568,
-      "rows": 6,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000352-0000-d3fb42721ac601b1.parquet",
-      "sha256": "d3fb42721ac601b1a160eadb6ff50c3fde17b928f2387b952f67f71b17b71dd3",
-      "bytes": 49421,
-      "rows": 10,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17644",
     "deepseek:thm_17645",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017647.lean\",\"7ff6af8d4b9e2275b2e9c3bc90b27a3a727ab9ce885caa2f0274caa154a56965\",0,\"thm_17691\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017648.lean\",\"0dcd506b1c6b8bc60d9ccec78f405727524ac819b3e87a587acb60fea10199a2\",0,\"thm_17692\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017649.lean\",\"a30b55e0fb45936c783ed968f180ef324b33acf1fc33d160df60e09880be210c\",0,\"thm_17693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352548,
+      "path": "data/train/pfe/deepseek-000352-0000-f05c9350198b8c6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "f05c9350198b8c6cf165447c9e5cdd3803dae9c5ee4c77ce6ce0e5be5763fb4b"
+    },
+    {
+      "bytes": 37568,
+      "path": "data/dev/pfe/deepseek-000352-0000-a066c337d759bc89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a066c337d759bc8969d409e4126152db82380c7e0643c11b04620bac23d1bd03"
+    },
+    {
+      "bytes": 49421,
+      "path": "data/internal_test/pfe/deepseek-000352-0000-d3fb42721ac601b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d3fb42721ac601b1a160eadb6ff50c3fde17b928f2387b952f67f71b17b71dd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000353.json b/manifests/batches/deepseek/000353.json
index dbfdaa63b724f6c02c44652e969a53249f3e8fa4..c99ed2b3a77eb1d98f6aeb18b89adaf0f0c2f346 100644
--- a/manifests/batches/deepseek/000353.json
+++ b/manifests/batches/deepseek/000353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000353",
   "batch_fingerprint": "e1b8b6356795de76bfb0815dd57dbef1748df476d8273faebd1dd8362c2799f0",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000353-0000-ce8e7de431c75419.parquet",
-      "sha256": "ce8e7de431c75419ddd37dc5b79592146498b5abfd78890bfe260bba703d8e30",
-      "bytes": 296464,
-      "rows": 85,
-      "revision": "baf669021c6ccc262a8266ac3f14c3f5cc0cab01"
-    },
-    {
-      "path": "data/dev/deepseek-000353-0000-49cd0cbf3095a7a4.parquet",
-      "sha256": "49cd0cbf3095a7a4a79709a0cfabd41c3529a393c5d6a61d4d80fc5ab3178223",
-      "bytes": 51413,
-      "rows": 8,
-      "revision": "baf669021c6ccc262a8266ac3f14c3f5cc0cab01"
-    },
-    {
-      "path": "data/internal_test/deepseek-000353-0000-eb9eadf147a223c6.parquet",
-      "sha256": "eb9eadf147a223c68db0752f2d5eb6eb715966e5460618baf98ad1b7c049c9ee",
-      "bytes": 64364,
-      "rows": 16,
-      "revision": "baf669021c6ccc262a8266ac3f14c3f5cc0cab01"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17694",
     "deepseek:thm_17695",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017697.lean\",\"191f58328740a8a3fb80ca7e68d77705d099059bd0728ec956b60d159bc1522b\",0,\"thm_17741\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017698.lean\",\"57e0275c0571700169dc1493056b1689943d0265c577ee287f77cd98823de5c7\",0,\"thm_17742\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017699.lean\",\"e69b49b6ed673a9c566429d2fee39e2c5353929ddcb829cedc8cd42bcccde6aa\",0,\"thm_17743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296464,
+      "path": "data/train/pc9/deepseek-000353-0000-ce8e7de431c75419.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "ce8e7de431c75419ddd37dc5b79592146498b5abfd78890bfe260bba703d8e30"
+    },
+    {
+      "bytes": 51413,
+      "path": "data/dev/pc9/deepseek-000353-0000-49cd0cbf3095a7a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "49cd0cbf3095a7a4a79709a0cfabd41c3529a393c5d6a61d4d80fc5ab3178223"
+    },
+    {
+      "bytes": 64364,
+      "path": "data/internal_test/pc9/deepseek-000353-0000-eb9eadf147a223c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "eb9eadf147a223c68db0752f2d5eb6eb715966e5460618baf98ad1b7c049c9ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000354.json b/manifests/batches/deepseek/000354.json
index 763c1fedbeed1d1cc64022678f4801a11d667b8b..d6944eaeec72f5274e6555e2e243ebde94c3afca 100644
--- a/manifests/batches/deepseek/000354.json
+++ b/manifests/batches/deepseek/000354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000354",
   "batch_fingerprint": "ea2a1f178070331215df2bba7469c7787fe232d96cfc3923d560f373868d547f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000354-0000-5a3523d8e9d2f9aa.parquet",
-      "sha256": "5a3523d8e9d2f9aa46388b3380c5917bc89784f91974529f6d5b33f19197abd5",
-      "bytes": 344837,
-      "rows": 117,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000354-0000-916dd49e087ba6e1.parquet",
-      "sha256": "916dd49e087ba6e1dd9ea13f0e59af85fa41784a5b38bb1734af021d3866ebf7",
-      "bytes": 44608,
-      "rows": 4,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17744",
     "deepseek:thm_17745",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017747.lean\",\"7082916b17f35c2cd22f4d4cc07a2e81ef16bfa1600c71d5790a5ef55481c460\",0,\"thm_17791\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017748.lean\",\"e88c0acc9c113de37b82310b69b8c793932b431f86d5fc3d82750aed18aaaa6f\",0,\"thm_17792\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017749.lean\",\"9c74a8a427c7f9317a5b91a9548dcf43e10500463f379cee0bd09afbd4d1572e\",0,\"thm_17793\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344837,
+      "path": "data/train/p78/deepseek-000354-0000-5a3523d8e9d2f9aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "5a3523d8e9d2f9aa46388b3380c5917bc89784f91974529f6d5b33f19197abd5"
+    },
+    {
+      "bytes": 44608,
+      "path": "data/internal_test/p78/deepseek-000354-0000-916dd49e087ba6e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "916dd49e087ba6e1dd9ea13f0e59af85fa41784a5b38bb1734af021d3866ebf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000355.json b/manifests/batches/deepseek/000355.json
index 0643c1f095d53b7ad096b5f938a539bf5258b14f..7ca9328d3a9f3a0dcad4e9b0f883d90fe3ef5294 100644
--- a/manifests/batches/deepseek/000355.json
+++ b/manifests/batches/deepseek/000355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000355",
   "batch_fingerprint": "e25aa2bd8b6c19860d63662613e1aa45fe7f5392a9df11c458ce997db5ece9bf",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000355-0000-7f0a75f98ab731c4.parquet",
-      "sha256": "7f0a75f98ab731c4ac6e96ce5cb70cf29b825c157c73d6acee47a7eed0511d56",
-      "bytes": 275726,
-      "rows": 88,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/deepseek-000355-0000-476150b6a2ca3184.parquet",
-      "sha256": "476150b6a2ca3184901691c16294790e725026d25e0914106d856e91a43514a1",
-      "bytes": 42292,
-      "rows": 6,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000355-0000-7a20bb118dc2fd95.parquet",
-      "sha256": "7a20bb118dc2fd95a4d7bd143dc819d062f2c2c08ac3cee0042d2467203afa46",
-      "bytes": 63115,
-      "rows": 15,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17794",
     "deepseek:thm_17795",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017797.lean\",\"cfbb51185d392a7ba2bbe1d85159e7bf5fec50938adb0726ec9f5fe653ba1c89\",0,\"thm_17841\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017798.lean\",\"5b617cd1595125303dc6d0aaca2f939a0624513d4ec70eed64a655a05b305199\",0,\"thm_17842\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017799.lean\",\"767f9b2d46d3b85bacf7b4a6edada7972a89a43d45d3c557561a05ae4ae39083\",0,\"thm_17843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275726,
+      "path": "data/train/pc7/deepseek-000355-0000-7f0a75f98ab731c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "7f0a75f98ab731c4ac6e96ce5cb70cf29b825c157c73d6acee47a7eed0511d56"
+    },
+    {
+      "bytes": 42292,
+      "path": "data/dev/pc7/deepseek-000355-0000-476150b6a2ca3184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "476150b6a2ca3184901691c16294790e725026d25e0914106d856e91a43514a1"
+    },
+    {
+      "bytes": 63115,
+      "path": "data/internal_test/pc7/deepseek-000355-0000-7a20bb118dc2fd95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7a20bb118dc2fd95a4d7bd143dc819d062f2c2c08ac3cee0042d2467203afa46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000356.json b/manifests/batches/deepseek/000356.json
index 0dd58b03deb8de7f0bfbb2474be8906c7e582bd4..ff3592ffa2932faaa9338089f09fb705eca7f2f7 100644
--- a/manifests/batches/deepseek/000356.json
+++ b/manifests/batches/deepseek/000356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000356",
   "batch_fingerprint": "26109f4938ed5c5b01ab855f4056777b842c0b3bf1c79e787a4ee066c6cbad4c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000356-0000-931c228884097c1b.parquet",
-      "sha256": "931c228884097c1b3ef0330989378a865e9ad2cb464e5eaca1d31494e90dc3e9",
-      "bytes": 296766,
-      "rows": 96,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/deepseek-000356-0000-0e3b65f8c365ae2a.parquet",
-      "sha256": "0e3b65f8c365ae2ab9ed9074e3e318c9c6a2c343dbcddfdcf63b3b85c87660f1",
-      "bytes": 30406,
-      "rows": 3,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000356-0000-b3616001b08aa3ce.parquet",
-      "sha256": "b3616001b08aa3ceae3ece5e9f36112162091f85256f09d72f375fe9228672e2",
-      "bytes": 63174,
-      "rows": 21,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17844",
     "deepseek:thm_17845",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017847.lean\",\"d2f2d492261d5168958f03afc5563007aceaef133ccca42147c21a71a5577103\",0,\"thm_17891\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017848.lean\",\"be609fad27ae4c07185a8de716c02ef233e482844707a2a948f4b967f7444a6b\",0,\"thm_17892\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017849.lean\",\"bcbe00300f15c9004bbf799e4aef0a9c7438ac25ffb77a1bccea0701898330da\",0,\"thm_17893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296766,
+      "path": "data/train/p36/deepseek-000356-0000-931c228884097c1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "931c228884097c1b3ef0330989378a865e9ad2cb464e5eaca1d31494e90dc3e9"
+    },
+    {
+      "bytes": 30406,
+      "path": "data/dev/p36/deepseek-000356-0000-0e3b65f8c365ae2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0e3b65f8c365ae2ab9ed9074e3e318c9c6a2c343dbcddfdcf63b3b85c87660f1"
+    },
+    {
+      "bytes": 63174,
+      "path": "data/internal_test/p36/deepseek-000356-0000-b3616001b08aa3ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b3616001b08aa3ceae3ece5e9f36112162091f85256f09d72f375fe9228672e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000357.json b/manifests/batches/deepseek/000357.json
index 608b3692924724af7744ee433b5f40c7ab3d80b0..30203373dd2c06c36d7984aab330720d9332744b 100644
--- a/manifests/batches/deepseek/000357.json
+++ b/manifests/batches/deepseek/000357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000357",
   "batch_fingerprint": "be357bf812bce5ecb3d8b6de8b4dfb68fd922b1ae9932a892c7859a4d7d8cf3b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000357-0000-5fe65c980b940531.parquet",
-      "sha256": "5fe65c980b9405312fd0e5ccfc48a0d7d21e35f48dbf8da480aca15c66de851c",
-      "bytes": 284399,
-      "rows": 91,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/deepseek-000357-0000-c428f9753aca9f3f.parquet",
-      "sha256": "c428f9753aca9f3f8e5239259d522d28ea2251e4efbf027353a9bd19e8a1d835",
-      "bytes": 40758,
-      "rows": 6,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000357-0000-fe8d6412b81254e2.parquet",
-      "sha256": "fe8d6412b81254e2b290313ebfb36c405b5fc87ac817596a12152397f9f057b5",
-      "bytes": 56704,
-      "rows": 10,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17894",
     "deepseek:thm_17895",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017897.lean\",\"a8ef8cebea7209547796bc1d3f0ab433460f2a69665914d2cf580d5797adee4f\",0,\"thm_17941\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017898.lean\",\"9c0869a60fa68364976b4e33eb2953ed99013d1f0c71099c033a13ee89009045\",0,\"thm_17942\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017899.lean\",\"1b9a8d5846de153bbf008af7a58c8addab7affb2441f12c53d42bf7766989955\",0,\"thm_17943\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284399,
+      "path": "data/train/p00/deepseek-000357-0000-5fe65c980b940531.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "5fe65c980b9405312fd0e5ccfc48a0d7d21e35f48dbf8da480aca15c66de851c"
+    },
+    {
+      "bytes": 40758,
+      "path": "data/dev/p00/deepseek-000357-0000-c428f9753aca9f3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c428f9753aca9f3f8e5239259d522d28ea2251e4efbf027353a9bd19e8a1d835"
+    },
+    {
+      "bytes": 56704,
+      "path": "data/internal_test/p00/deepseek-000357-0000-fe8d6412b81254e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fe8d6412b81254e2b290313ebfb36c405b5fc87ac817596a12152397f9f057b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000358.json b/manifests/batches/deepseek/000358.json
index 6cd1e9960c5815296944eb9415555fa1a042df1a..bf0d8e256cd7aa986eef9ff478bc60225a509085 100644
--- a/manifests/batches/deepseek/000358.json
+++ b/manifests/batches/deepseek/000358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000358",
   "batch_fingerprint": "1e6b286684df8ccdd03366ac2f32be5eedd119b70b457457ced8950d4a6d1010",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000358-0000-f30d689f8d24d07d.parquet",
-      "sha256": "f30d689f8d24d07d7bf2a724646a740cf37bdd16a6599d3164faeb66b6f16d6b",
-      "bytes": 345324,
-      "rows": 97,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000358-0000-2ccd14d2a9da0fcf.parquet",
-      "sha256": "2ccd14d2a9da0fcf70d030b3032661494e5fc12d30375940309b35ae2cdb28ba",
-      "bytes": 76496,
-      "rows": 16,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17944",
     "deepseek:thm_17945",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017947.lean\",\"7140c4a58df1462391756f564471468b066318368726664bc0f5aae3ed6ba3b7\",0,\"thm_17991\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017948.lean\",\"d32bd2f8d29f85876627adcb4fc9c84e02bdb2aa8778cd770224f3358d1a7c0d\",0,\"thm_17992\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017949.lean\",\"e58792d1d45f243c422a06b937098968a0ab9a639f70cccf3ac9bbf3fcf0c026\",0,\"thm_17993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345324,
+      "path": "data/train/pff/deepseek-000358-0000-f30d689f8d24d07d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "f30d689f8d24d07d7bf2a724646a740cf37bdd16a6599d3164faeb66b6f16d6b"
+    },
+    {
+      "bytes": 76496,
+      "path": "data/internal_test/pff/deepseek-000358-0000-2ccd14d2a9da0fcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2ccd14d2a9da0fcf70d030b3032661494e5fc12d30375940309b35ae2cdb28ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000359.json b/manifests/batches/deepseek/000359.json
index b49f9cce389269119a5cffb8e9b57b79e60c3267..06485975219285a02819bb703d3e2857b8f36f7f 100644
--- a/manifests/batches/deepseek/000359.json
+++ b/manifests/batches/deepseek/000359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000359",
   "batch_fingerprint": "28573502515185dc72b538edf4cbfb3861213596290ab3cf920814128068fefc",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000359-0000-df3ef78729acf448.parquet",
-      "sha256": "df3ef78729acf4481caab9a8204545898949655ea04c2b095aac2a3d374cbd92",
-      "bytes": 348986,
-      "rows": 110,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/dev/deepseek-000359-0000-757edab64d3b180c.parquet",
-      "sha256": "757edab64d3b180c3bd660a9d407726a762b20bea26946298027aa5ccf026da1",
-      "bytes": 29166,
-      "rows": 2,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000359-0000-34d7e767f12caf87.parquet",
-      "sha256": "34d7e767f12caf87f6f82a32680438c4fe860b68423b6b0a0dd1df5ec51c03bb",
-      "bytes": 35780,
-      "rows": 4,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_17994",
     "deepseek:thm_17995",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017997.lean\",\"079b139799409a82efdeaebcf51305eef55e98fd882262c2037a5f29ebd945ff\",0,\"thm_18041\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017998.lean\",\"3292251eb59dae43059c04dbd751a995f930d1a3a212b448b695a6dea34cb818\",0,\"thm_18042\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_017999.lean\",\"da89298d74b1887d4d7df4fa209b3cda19d3d426807f0f97d061f5732cdb6218\",0,\"thm_18043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348986,
+      "path": "data/train/pcd/deepseek-000359-0000-df3ef78729acf448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "df3ef78729acf4481caab9a8204545898949655ea04c2b095aac2a3d374cbd92"
+    },
+    {
+      "bytes": 29166,
+      "path": "data/dev/pcd/deepseek-000359-0000-757edab64d3b180c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "757edab64d3b180c3bd660a9d407726a762b20bea26946298027aa5ccf026da1"
+    },
+    {
+      "bytes": 35780,
+      "path": "data/internal_test/pcd/deepseek-000359-0000-34d7e767f12caf87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "34d7e767f12caf87f6f82a32680438c4fe860b68423b6b0a0dd1df5ec51c03bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000360.json b/manifests/batches/deepseek/000360.json
index 17fe0ab6cabf6894bfd13ed3fde83130f967444e..1b4e3eb681e4975ef2fb9406f7c421ff1afde2ec 100644
--- a/manifests/batches/deepseek/000360.json
+++ b/manifests/batches/deepseek/000360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000360",
   "batch_fingerprint": "b15bb37b6ad15610e79f52587640a320e94f74a3002b01836662a1e3b80e792d",
   "evidence": {
@@ -111,29 +110,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000360-0000-4f740652ab7d1a46.parquet",
-      "sha256": "4f740652ab7d1a46fd409fa2175bb7e8afee260ef975eb7d2ae7c7ab65f456b8",
-      "bytes": 286732,
-      "rows": 89,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/dev/deepseek-000360-0000-52bed02dee3d67b5.parquet",
-      "sha256": "52bed02dee3d67b5e774ce9f68842d0175eeb7c8142ac8718aa4100195d3162c",
-      "bytes": 31618,
-      "rows": 2,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/deepseek-000360-0000-822d16d994e00e97.parquet",
-      "sha256": "822d16d994e00e9786f3b02a72d99d4958dd1525c48eca2e6892a27c529fe8e4",
-      "bytes": 48358,
-      "rows": 10,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18044",
     "deepseek:thm_18045",
@@ -227,5 +204,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018046.lean\",\"4efd4e2bc5a5dd31e10925245e9bae94b1b86ad617d2bbcc99aa406ac8a017bf\",0,\"thm_18090\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018047.lean\",\"f9b3e5baf193a263f774373af27e21d397fb317a9a0f10a102dc4503d4c4f9a3\",0,\"thm_18091\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018048.lean\",\"55ee460e5fe013793a8009557184d71290641475ab33848b3d1cdf86065c67ab\",0,\"thm_18092\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286732,
+      "path": "data/train/p1f/deepseek-000360-0000-4f740652ab7d1a46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "4f740652ab7d1a46fd409fa2175bb7e8afee260ef975eb7d2ae7c7ab65f456b8"
+    },
+    {
+      "bytes": 31618,
+      "path": "data/dev/p1f/deepseek-000360-0000-52bed02dee3d67b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "52bed02dee3d67b5e774ce9f68842d0175eeb7c8142ac8718aa4100195d3162c"
+    },
+    {
+      "bytes": 48358,
+      "path": "data/internal_test/p1f/deepseek-000360-0000-822d16d994e00e97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "822d16d994e00e9786f3b02a72d99d4958dd1525c48eca2e6892a27c529fe8e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000361.json b/manifests/batches/deepseek/000361.json
index 2b9490904bb817c4345137cb9633c05ce99960ca..9cd3c48e99ad8ed36705ec2d3e9558bf091bf468 100644
--- a/manifests/batches/deepseek/000361.json
+++ b/manifests/batches/deepseek/000361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000361",
   "batch_fingerprint": "a0b00cdcf14ff18795ae3165eb46a39f4eee7e0783a09ad7675b912e6581087d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000361-0000-c4de4775371f88dd.parquet",
-      "sha256": "c4de4775371f88ddacf9ed39e6499fddcbee2a8486a4fc54882073e1884e7d67",
-      "bytes": 338401,
-      "rows": 105,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000361-0000-236b992f496bfba7.parquet",
-      "sha256": "236b992f496bfba7ba4510ca5dfdbf248c5515137cf6e360835ff02b58492b6e",
-      "bytes": 60142,
-      "rows": 15,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18094",
     "deepseek:thm_18095",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018097.lean\",\"5d537f697949f6ff3642df4180ad5719665de38feccb6d0db35e5f3b7b157845\",0,\"thm_18141\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018098.lean\",\"14e409ea5a8f0a1056a23021a6c2af8a47407d690864610f367e9af89936764f\",0,\"thm_18142\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018099.lean\",\"d6fb4cefedbf5df75f7d4e3825f288695c2c142d762d7cef331a2aaf6cd1ef5f\",0,\"thm_18143\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338401,
+      "path": "data/train/pf4/deepseek-000361-0000-c4de4775371f88dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "c4de4775371f88ddacf9ed39e6499fddcbee2a8486a4fc54882073e1884e7d67"
+    },
+    {
+      "bytes": 60142,
+      "path": "data/internal_test/pf4/deepseek-000361-0000-236b992f496bfba7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "236b992f496bfba7ba4510ca5dfdbf248c5515137cf6e360835ff02b58492b6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000362.json b/manifests/batches/deepseek/000362.json
index d01db084fb70026fec3256a49e3c1660f3009a5d..d28c8ca4444d8deb269e19ba53d8cbb5920dbb30 100644
--- a/manifests/batches/deepseek/000362.json
+++ b/manifests/batches/deepseek/000362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000362",
   "batch_fingerprint": "88eaf4a385a175a188e1fc6b103bb2ba222c882f6c9a48ca783aaee1a85beac7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000362-0000-2435583517b9e22e.parquet",
-      "sha256": "2435583517b9e22edef5a5bbdaa8517b3301b2d1ca7f494b869abfe3d825ff56",
-      "bytes": 321750,
-      "rows": 94,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000362-0000-8a6e49e9c56b476b.parquet",
-      "sha256": "8a6e49e9c56b476b8a99bc7256e87682480d1b47b082f4de355be0984c2877fa",
-      "bytes": 39062,
-      "rows": 6,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000362-0000-a7426bc2e0a2c96b.parquet",
-      "sha256": "a7426bc2e0a2c96b338a5075cb8f53a9ebdaffa093520f79c390674e458e0b81",
-      "bytes": 49166,
-      "rows": 9,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18144",
     "deepseek:thm_18145",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018147.lean\",\"416467bb02fc434dc7422f873054fd3d2178ecc7d0a9a693848f6428afaff681\",0,\"thm_18191\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018148.lean\",\"f57246eded6e4ca5759f40350ca733de92aa503e2e46f13cd9907720e4b676e5\",0,\"thm_18192\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018149.lean\",\"916d923fb7179a8f66a8fcd2ccbdf3ad1d64482d79850de804606afc60a9399a\",0,\"thm_18193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321750,
+      "path": "data/train/p0c/deepseek-000362-0000-2435583517b9e22e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "2435583517b9e22edef5a5bbdaa8517b3301b2d1ca7f494b869abfe3d825ff56"
+    },
+    {
+      "bytes": 39062,
+      "path": "data/dev/p0c/deepseek-000362-0000-8a6e49e9c56b476b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8a6e49e9c56b476b8a99bc7256e87682480d1b47b082f4de355be0984c2877fa"
+    },
+    {
+      "bytes": 49166,
+      "path": "data/internal_test/p0c/deepseek-000362-0000-a7426bc2e0a2c96b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a7426bc2e0a2c96b338a5075cb8f53a9ebdaffa093520f79c390674e458e0b81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000363.json b/manifests/batches/deepseek/000363.json
index 279d367e9c5da76a287785f985d1daadd976bac8..534e28ffd3bd5d62cc65eca919a189bb1f07cadc 100644
--- a/manifests/batches/deepseek/000363.json
+++ b/manifests/batches/deepseek/000363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000363",
   "batch_fingerprint": "499438a089aa18d9c96eea1042286b77dffa17fe292b2116ae907703130f0e9d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000363-0000-f61fc792f9e92f4c.parquet",
-      "sha256": "f61fc792f9e92f4cd6b01c52c8630531a4d36c23f28dccb65d88d5b2bac349c7",
-      "bytes": 337700,
-      "rows": 113,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000363-0000-5cf969b83ed096fa.parquet",
-      "sha256": "5cf969b83ed096fa5fe58b6f6c62c42170fdd56712a221a6d8ef6b26a7b8ed04",
-      "bytes": 35020,
-      "rows": 2,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000363-0000-63edf21e4ed31a51.parquet",
-      "sha256": "63edf21e4ed31a51cdd1e08a71a535b97706246e72518901501c0aa65b24a3bc",
-      "bytes": 50583,
-      "rows": 11,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18194",
     "deepseek:thm_18195",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018197.lean\",\"d4f089229b36afaaa636f43599e419657a42bc60f084ddeee299a3889087e4ef\",0,\"thm_18241\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018198.lean\",\"9882073fc16f29e30766b83ec9da5949934c4b5171504e7df8eda1fce35810af\",0,\"thm_18242\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018199.lean\",\"c4a4a269e4cdd2c6de85648df25c9999eb9a43df4bfcfbd8890bead1fe67cf75\",0,\"thm_18243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337700,
+      "path": "data/train/pc9/deepseek-000363-0000-f61fc792f9e92f4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "f61fc792f9e92f4cd6b01c52c8630531a4d36c23f28dccb65d88d5b2bac349c7"
+    },
+    {
+      "bytes": 35020,
+      "path": "data/dev/pc9/deepseek-000363-0000-5cf969b83ed096fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5cf969b83ed096fa5fe58b6f6c62c42170fdd56712a221a6d8ef6b26a7b8ed04"
+    },
+    {
+      "bytes": 50583,
+      "path": "data/internal_test/pc9/deepseek-000363-0000-63edf21e4ed31a51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "63edf21e4ed31a51cdd1e08a71a535b97706246e72518901501c0aa65b24a3bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000364.json b/manifests/batches/deepseek/000364.json
index 9af2a8cea0e090fb63658fc78c3beef988df8bfa..67ccce26f3c312ba6517584f1fd03ec72c127af1 100644
--- a/manifests/batches/deepseek/000364.json
+++ b/manifests/batches/deepseek/000364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000364",
   "batch_fingerprint": "a73eae2927c083490f7003d43ebc98e8561d265d8209396d587bfd84acad2eae",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000364-0000-e158a10ca9d62a2f.parquet",
-      "sha256": "e158a10ca9d62a2f076696372fed0eaba8d37b11bcf3a561da5eb2c13968ba62",
-      "bytes": 345239,
-      "rows": 99,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000364-0000-8e492171350ac144.parquet",
-      "sha256": "8e492171350ac144cd8be2c5bc81bc2d17b19315d3f9085b37d6d3add00ba68d",
-      "bytes": 42389,
-      "rows": 4,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000364-0000-b4cdfda7ae3d3f2d.parquet",
-      "sha256": "b4cdfda7ae3d3f2daf05a635d0ecedd11b80f56231cd7f09718f82ddccc09780",
-      "bytes": 51258,
-      "rows": 12,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18244",
     "deepseek:thm_18245",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018247.lean\",\"ca3dcbcbf93c59f939181491b742afc1b62e590c0ba72e1d0f5039ad540e6968\",0,\"thm_18291\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018248.lean\",\"1c8849b93a58bc38e35c1502c5d106a265b3dfbdbb8c38b54249b44f6d2dbbb3\",0,\"thm_18292\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018249.lean\",\"1b7c774c66c804d2c848692a0b8b5fbaac03ceafb7a83f8a45b622d619075828\",0,\"thm_18293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345239,
+      "path": "data/train/pe4/deepseek-000364-0000-e158a10ca9d62a2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "e158a10ca9d62a2f076696372fed0eaba8d37b11bcf3a561da5eb2c13968ba62"
+    },
+    {
+      "bytes": 42389,
+      "path": "data/dev/pe4/deepseek-000364-0000-8e492171350ac144.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8e492171350ac144cd8be2c5bc81bc2d17b19315d3f9085b37d6d3add00ba68d"
+    },
+    {
+      "bytes": 51258,
+      "path": "data/internal_test/pe4/deepseek-000364-0000-b4cdfda7ae3d3f2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b4cdfda7ae3d3f2daf05a635d0ecedd11b80f56231cd7f09718f82ddccc09780"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000365.json b/manifests/batches/deepseek/000365.json
index 13fc5c975d1117a1d0ec48c393f76b19d395ee22..ab2af5c5ea27e9503884edb4bf4970992ed41b94 100644
--- a/manifests/batches/deepseek/000365.json
+++ b/manifests/batches/deepseek/000365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000365",
   "batch_fingerprint": "e93c5b16b673f20331059f31289c906e1524b9f036214a5a492be5e6bc260b07",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000365-0000-290d735dd79eee8d.parquet",
-      "sha256": "290d735dd79eee8d04c36a355807aeac16f8279f20182973a0183b39a11795a5",
-      "bytes": 323695,
-      "rows": 100,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000365-0000-21ec78a5cf32897e.parquet",
-      "sha256": "21ec78a5cf32897ec5e8f0d2b96d47e3e8c57a3a4f12580bdfd06c15b93e319c",
-      "bytes": 37568,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000365-0000-5f0f5246ca6ceac9.parquet",
-      "sha256": "5f0f5246ca6ceac9570b51597d075d8c8bd1a8e253749070c47f2ad37033c39c",
-      "bytes": 39670,
-      "rows": 6,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18294",
     "deepseek:thm_18295",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018297.lean\",\"56e57bfc3eb55bad80f7618376e4037bd3562b96952f6ca7863466c5f0f41808\",0,\"thm_18341\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018298.lean\",\"09de8bb4ccc589e9643f494764a48bc75fb071727f03fdd6c4d331a148572728\",0,\"thm_18342\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018299.lean\",\"47f17ecf36736e29652e6c8c3471056836b7d3d2d6809947c7a798957bf19ef4\",0,\"thm_18343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323695,
+      "path": "data/train/p66/deepseek-000365-0000-290d735dd79eee8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "290d735dd79eee8d04c36a355807aeac16f8279f20182973a0183b39a11795a5"
+    },
+    {
+      "bytes": 37568,
+      "path": "data/dev/p66/deepseek-000365-0000-21ec78a5cf32897e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "21ec78a5cf32897ec5e8f0d2b96d47e3e8c57a3a4f12580bdfd06c15b93e319c"
+    },
+    {
+      "bytes": 39670,
+      "path": "data/internal_test/p66/deepseek-000365-0000-5f0f5246ca6ceac9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5f0f5246ca6ceac9570b51597d075d8c8bd1a8e253749070c47f2ad37033c39c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000366.json b/manifests/batches/deepseek/000366.json
index 85a7e97ca58b81ff04361a9a6d4e9479b31e5682..d5b144aa46852adb43b3e4628ee7f45017dcf43e 100644
--- a/manifests/batches/deepseek/000366.json
+++ b/manifests/batches/deepseek/000366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000366",
   "batch_fingerprint": "c2ede01ba8dcd550289020665a1928c6d50eb90e82a817c3f49c80d7d54b9ae8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000366-0000-8aec348b6f3cb7b1.parquet",
-      "sha256": "8aec348b6f3cb7b18d1972f4683c95ccc5815665e6c968afe3d532b3b4a909f4",
-      "bytes": 298235,
-      "rows": 99,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000366-0000-3681503d38265783.parquet",
-      "sha256": "3681503d38265783584881ca00057bab1bfa8a40bc16ff71c672282dbec1f8a0",
-      "bytes": 34057,
-      "rows": 6,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000366-0000-f488c9c0be00a011.parquet",
-      "sha256": "f488c9c0be00a01152ebcc476c9f0f2045e33b3966cbe118759ac69e0311dbe1",
-      "bytes": 40764,
-      "rows": 6,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18344",
     "deepseek:thm_18345",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018347.lean\",\"5143dc12402b145539cc30031be4dee3e9d12c91fe08ea6e07af47b59ab4ecb0\",0,\"thm_18391\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018348.lean\",\"dc3f77503e10bb3ea22bb240682eaab3f2b7a4c291797502ac3a529917cc287d\",0,\"thm_18392\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018349.lean\",\"9d78ca4442e8e4bce4c7db0ca56b3e570a8a04271e400cfcf18a5ac0ae4fd317\",0,\"thm_18393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298235,
+      "path": "data/train/p9d/deepseek-000366-0000-8aec348b6f3cb7b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "8aec348b6f3cb7b18d1972f4683c95ccc5815665e6c968afe3d532b3b4a909f4"
+    },
+    {
+      "bytes": 34057,
+      "path": "data/dev/p9d/deepseek-000366-0000-3681503d38265783.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3681503d38265783584881ca00057bab1bfa8a40bc16ff71c672282dbec1f8a0"
+    },
+    {
+      "bytes": 40764,
+      "path": "data/internal_test/p9d/deepseek-000366-0000-f488c9c0be00a011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f488c9c0be00a01152ebcc476c9f0f2045e33b3966cbe118759ac69e0311dbe1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000367.json b/manifests/batches/deepseek/000367.json
index fc6f8ffe3be92d1129266708e5d705600a3ff8fc..70fd2b66c5d347fd3b3f99ebc9b8d08d51a505d6 100644
--- a/manifests/batches/deepseek/000367.json
+++ b/manifests/batches/deepseek/000367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000367",
   "batch_fingerprint": "46db25e50ef28ee6c647e316a5dc867a59caaf02ff742fa1a79aac4a099cd794",
   "evidence": {
@@ -57,22 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000367-0000-30645db4a47ed60e.parquet",
-      "sha256": "30645db4a47ed60e869c009321d5d87e60fce727787189a3508b71f7ef1fd407",
-      "bytes": 308708,
-      "rows": 94,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000367-0000-d102788a52ba14ef.parquet",
-      "sha256": "d102788a52ba14ef18d0e978500ad72124b9ee4c836c130730d39b7a555de942",
-      "bytes": 55866,
-      "rows": 12,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18394",
     "deepseek:thm_18395",
@@ -172,5 +156,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018397.lean\",\"0c0f7459730c39dc41deabe17dfc0125790279a0674050db14e1dae23e8a4a55\",0,\"thm_18441\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018398.lean\",\"36ea2f5a641705a9c352b713e2ed02b083cb6e0041b23bc7c62b013811808a1d\",0,\"thm_18442\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018399.lean\",\"5240b99684c32f128da23684ab2315b6e9afaf0095e09823e11a62a8185fab8e\",0,\"thm_18443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308708,
+      "path": "data/train/p6d/deepseek-000367-0000-30645db4a47ed60e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "30645db4a47ed60e869c009321d5d87e60fce727787189a3508b71f7ef1fd407"
+    },
+    {
+      "bytes": 55866,
+      "path": "data/internal_test/p6d/deepseek-000367-0000-d102788a52ba14ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d102788a52ba14ef18d0e978500ad72124b9ee4c836c130730d39b7a555de942"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000368.json b/manifests/batches/deepseek/000368.json
index 38644157c7cb0b50f39c3b27bcab01897a6dae60..2d694271f8418776fa658242ddb71176888112da 100644
--- a/manifests/batches/deepseek/000368.json
+++ b/manifests/batches/deepseek/000368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000368",
   "batch_fingerprint": "2b95ff589ce7f2ef1e736f65dbfdbf8f2554d462ea5467faca00e6d055c646f1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000368-0000-fcc2267af8c30f78.parquet",
-      "sha256": "fcc2267af8c30f78f289933b6e4fa2a1bc4f1335957aef56f47737a331a6cd3d",
-      "bytes": 287337,
-      "rows": 94,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/deepseek-000368-0000-8177868691336a0d.parquet",
-      "sha256": "8177868691336a0d7173e6ca4eff606fc56af0050471d9c61bf122950909b7c6",
-      "bytes": 32566,
-      "rows": 4,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000368-0000-06336e380bda1f00.parquet",
-      "sha256": "06336e380bda1f0097ded2c3b81f9fbf563f7645d19a357026a38f060c0a0f45",
-      "bytes": 45059,
-      "rows": 12,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18444",
     "deepseek:thm_18445",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018447.lean\",\"fc6bba3ef920c5706efc48675391c93650473905ac015f32d7ce818be269eb27\",0,\"thm_18491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018448.lean\",\"b4e7cbce71730a5b8f5f0697bbf66f53377d967d5d170108ac826aaf06340719\",0,\"thm_18492\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018449.lean\",\"306582b57d6389af50681a92dfa518869e9467cda94a5bf8409d2a6532167185\",0,\"thm_18493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287337,
+      "path": "data/train/p24/deepseek-000368-0000-fcc2267af8c30f78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "fcc2267af8c30f78f289933b6e4fa2a1bc4f1335957aef56f47737a331a6cd3d"
+    },
+    {
+      "bytes": 32566,
+      "path": "data/dev/p24/deepseek-000368-0000-8177868691336a0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8177868691336a0d7173e6ca4eff606fc56af0050471d9c61bf122950909b7c6"
+    },
+    {
+      "bytes": 45059,
+      "path": "data/internal_test/p24/deepseek-000368-0000-06336e380bda1f00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "06336e380bda1f0097ded2c3b81f9fbf563f7645d19a357026a38f060c0a0f45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000369.json b/manifests/batches/deepseek/000369.json
index b87f62872226388f16ed691986bfcd0af5c933bb..16598e04eeca0590ac639282035ebaa8d38faec0 100644
--- a/manifests/batches/deepseek/000369.json
+++ b/manifests/batches/deepseek/000369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000369",
   "batch_fingerprint": "fda4fa47bac5ba5496d26b97c74bfd4c3be8933c824b884147c2994b1c0d4986",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000369-0000-32b21c46f24d55eb.parquet",
-      "sha256": "32b21c46f24d55eba095fe14692e7beea904a03f002c4d0841f7b046f1598941",
-      "bytes": 335327,
-      "rows": 108,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/deepseek-000369-0000-144ecfab6d8ceaee.parquet",
-      "sha256": "144ecfab6d8ceaee60a38d8bbe8190cf1bab88bf5853ed94e5fc0231686c923c",
-      "bytes": 44592,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18494",
     "deepseek:thm_18495",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018497.lean\",\"df0d2b09ba551f27ef5457ae3c0480eea18449d80ad5b85b7bb51d16de970722\",0,\"thm_18541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018498.lean\",\"5f0a8b70968b0cf883f46e9d615b9bf350207cc8613c98c91437d0cf8f60cead\",0,\"thm_18542\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018499.lean\",\"99c1ee0e3450d768b24e28d0a8e45e5194e46c699174be8c64524d59fadb7f3f\",0,\"thm_18543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335327,
+      "path": "data/train/p6d/deepseek-000369-0000-32b21c46f24d55eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "32b21c46f24d55eba095fe14692e7beea904a03f002c4d0841f7b046f1598941"
+    },
+    {
+      "bytes": 44592,
+      "path": "data/internal_test/p6d/deepseek-000369-0000-144ecfab6d8ceaee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "144ecfab6d8ceaee60a38d8bbe8190cf1bab88bf5853ed94e5fc0231686c923c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000370.json b/manifests/batches/deepseek/000370.json
index e43e68053ea1f6e0d39d562bd8fae4af54277dab..b9a72451706312e517fbf6077ef441269c6df8e6 100644
--- a/manifests/batches/deepseek/000370.json
+++ b/manifests/batches/deepseek/000370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000370",
   "batch_fingerprint": "9a74a9a68be878bf448f3cdafaede713a6f8aefb674982d00afb0f902584ef48",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000370-0000-e727a76f05b6e1c9.parquet",
-      "sha256": "e727a76f05b6e1c9560482628a2bfe7d3cc9796a866b0511ab1253d4ca1fa84b",
-      "bytes": 286751,
-      "rows": 94,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000370-0000-e9041aa771ad6706.parquet",
-      "sha256": "e9041aa771ad6706cde770c5f2e2a1a0cddf19eb94b5afaf3d439076a7a1b956",
-      "bytes": 41812,
-      "rows": 2,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000370-0000-ff7e940b8d4b13a8.parquet",
-      "sha256": "ff7e940b8d4b13a80f7404a3389db7b3ec5150103e1fa0df7a1c4934a6fc3fd0",
-      "bytes": 66934,
-      "rows": 16,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18544",
     "deepseek:thm_18545",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018547.lean\",\"d32eda924eaab51eb9091e146d38f811a138c9ed6b165f7e7be666c0e65dc956\",0,\"thm_18591\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018548.lean\",\"706bce01bbc33dc707c51288ef09254ac26eddf5c6c2ead0fba21b389d358f0d\",0,\"thm_18592\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018549.lean\",\"d538f77bcc74a7d31e3adf2eed675d77536fe2ed41d7402d9035262e6c7e925d\",0,\"thm_18593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286751,
+      "path": "data/train/pd7/deepseek-000370-0000-e727a76f05b6e1c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "e727a76f05b6e1c9560482628a2bfe7d3cc9796a866b0511ab1253d4ca1fa84b"
+    },
+    {
+      "bytes": 41812,
+      "path": "data/dev/pd7/deepseek-000370-0000-e9041aa771ad6706.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e9041aa771ad6706cde770c5f2e2a1a0cddf19eb94b5afaf3d439076a7a1b956"
+    },
+    {
+      "bytes": 66934,
+      "path": "data/internal_test/pd7/deepseek-000370-0000-ff7e940b8d4b13a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ff7e940b8d4b13a80f7404a3389db7b3ec5150103e1fa0df7a1c4934a6fc3fd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000371.json b/manifests/batches/deepseek/000371.json
index 0fac5d2c5847876d93587b169ef17921b59fe424..12aede67aacbcc457fafb151c3389fa7b189d778 100644
--- a/manifests/batches/deepseek/000371.json
+++ b/manifests/batches/deepseek/000371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000371",
   "batch_fingerprint": "2f5f4f758a0c6115d04b93347a159e390faa54aa1956f658e6d25acf313feb30",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000371-0000-1f889e9f96c64ea8.parquet",
-      "sha256": "1f889e9f96c64ea8b54610b7d42084326fda4b7dea2677120fc49fb22486f000",
-      "bytes": 398751,
-      "rows": 105,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000371-0000-8c301fc9af1d6658.parquet",
-      "sha256": "8c301fc9af1d66581449226d850a55fdba2bb5349516a4335f3e2cab31d83489",
-      "bytes": 51269,
-      "rows": 10,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000371-0000-8c74919b10d343cc.parquet",
-      "sha256": "8c74919b10d343cc94be80937d3e98c52b1eb3aeb3bc6803aa8bec2f6e1c89d1",
-      "bytes": 61416,
-      "rows": 13,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18594",
     "deepseek:thm_18595",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018597.lean\",\"6136d33b39f0ec995cd669a156d197b34e35453688a2e40351f3095aa2021b40\",0,\"thm_18641\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018598.lean\",\"eee339ec89e65f386c86155b0fa87ff43eebb7df9cda972bf7e3fe9857caf8c6\",0,\"thm_18642\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018599.lean\",\"d813fd79a307413af2033ad67bff9bd747914ff63cf096fe873f55a2a5acf16b\",0,\"thm_18643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398751,
+      "path": "data/train/pa4/deepseek-000371-0000-1f889e9f96c64ea8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "1f889e9f96c64ea8b54610b7d42084326fda4b7dea2677120fc49fb22486f000"
+    },
+    {
+      "bytes": 51269,
+      "path": "data/dev/pa4/deepseek-000371-0000-8c301fc9af1d6658.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8c301fc9af1d66581449226d850a55fdba2bb5349516a4335f3e2cab31d83489"
+    },
+    {
+      "bytes": 61416,
+      "path": "data/internal_test/pa4/deepseek-000371-0000-8c74919b10d343cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8c74919b10d343cc94be80937d3e98c52b1eb3aeb3bc6803aa8bec2f6e1c89d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000372.json b/manifests/batches/deepseek/000372.json
index 849da15607d0659b41e1e541b6f11a5da3d7793b..0704dc118985f3271f18d981a5370a0fd971ddc0 100644
--- a/manifests/batches/deepseek/000372.json
+++ b/manifests/batches/deepseek/000372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000372",
   "batch_fingerprint": "8a7c23016be106399f38b6cdf31d11e777abca066036baa0d42d6eeb9fbda0d4",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000372-0000-cafcdda6d18e7882.parquet",
-      "sha256": "cafcdda6d18e788211d2c5e385ab6b17cfe6cf277147c561d47e4094ac22c84d",
-      "bytes": 270950,
-      "rows": 93,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/dev/deepseek-000372-0000-2aa017e6f79776fc.parquet",
-      "sha256": "2aa017e6f79776fc1556aed391d563071b1bfc20829169628d0ec23f44a355e2",
-      "bytes": 34484,
-      "rows": 4,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/internal_test/deepseek-000372-0000-cfadcb7530c6bde5.parquet",
-      "sha256": "cfadcb7530c6bde58687976e429bb58dcd0e988090344a4b89356d3a1c4cc80d",
-      "bytes": 71492,
-      "rows": 13,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18644",
     "deepseek:thm_18645",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018646.lean\",\"653afb46480c748e1554bd0bc934a80194c938b3dbd58c0fc4012c3efb50ef8f\",0,\"thm_18690\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018648.lean\",\"83a7278a8a8311b4d6ba9eb2b6d9b97da21bda617bc92d9979039d7745c4d2da\",0,\"thm_18692\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018649.lean\",\"158986b6aa64e91ed2187b32d4e764b1cf61d14a389f7939f860c15be123486a\",0,\"thm_18693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270950,
+      "path": "data/train/p27/deepseek-000372-0000-cafcdda6d18e7882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "cafcdda6d18e788211d2c5e385ab6b17cfe6cf277147c561d47e4094ac22c84d"
+    },
+    {
+      "bytes": 34484,
+      "path": "data/dev/p27/deepseek-000372-0000-2aa017e6f79776fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2aa017e6f79776fc1556aed391d563071b1bfc20829169628d0ec23f44a355e2"
+    },
+    {
+      "bytes": 71492,
+      "path": "data/internal_test/p27/deepseek-000372-0000-cfadcb7530c6bde5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cfadcb7530c6bde58687976e429bb58dcd0e988090344a4b89356d3a1c4cc80d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000373.json b/manifests/batches/deepseek/000373.json
index c8840ab0a27d206934220c5a2cb6b02148c4816b..48a1246ae7a4f1fd02a27cb02702ca06753a41ef 100644
--- a/manifests/batches/deepseek/000373.json
+++ b/manifests/batches/deepseek/000373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000373",
   "batch_fingerprint": "540a93fde88d01073877f3b9d244feae5ca2082c5aa4abdbc7a063b0de384a73",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000373-0000-378b7edd4546a4db.parquet",
-      "sha256": "378b7edd4546a4db43f61843c6d861370b8e6832a2cac153c6a7b0fb38b61a48",
-      "bytes": 301731,
-      "rows": 93,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000373-0000-c7b60433afee9bb8.parquet",
-      "sha256": "c7b60433afee9bb8cc1c3101c1ff9cc1e1521ebc067ac13fa5188ca96fcf4a8d",
-      "bytes": 43358,
-      "rows": 4,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000373-0000-37832255e237c584.parquet",
-      "sha256": "37832255e237c584a8882ee286dbfee33c1f582baad12330ecc134b25ffcb5ca",
-      "bytes": 41069,
-      "rows": 8,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18694",
     "deepseek:thm_18695",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018697.lean\",\"ca951e28e6a55bed90bfc2e87a5d729de3e6f69c90c599732ac585d0ef926040\",0,\"thm_18741\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018698.lean\",\"8d7c7178f19658f76afffa3fa80516e5b9724107cdf8ca3974daaa8861319557\",0,\"thm_18742\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018699.lean\",\"d47bcd966b6da6b0d71232a62bd0994505dcb0bdbdfc264637225c167804812a\",0,\"thm_18743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301731,
+      "path": "data/train/pcf/deepseek-000373-0000-378b7edd4546a4db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "378b7edd4546a4db43f61843c6d861370b8e6832a2cac153c6a7b0fb38b61a48"
+    },
+    {
+      "bytes": 43358,
+      "path": "data/dev/pcf/deepseek-000373-0000-c7b60433afee9bb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c7b60433afee9bb8cc1c3101c1ff9cc1e1521ebc067ac13fa5188ca96fcf4a8d"
+    },
+    {
+      "bytes": 41069,
+      "path": "data/internal_test/pcf/deepseek-000373-0000-37832255e237c584.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "37832255e237c584a8882ee286dbfee33c1f582baad12330ecc134b25ffcb5ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000374.json b/manifests/batches/deepseek/000374.json
index 8827cc1c6401c49a1228e9031b1a9d8d32d45154..25242deadd36788332e67ed312b43cc44af4f42e 100644
--- a/manifests/batches/deepseek/000374.json
+++ b/manifests/batches/deepseek/000374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000374",
   "batch_fingerprint": "2c4d578d5279862672219a089c4e46f1e8628656a770c899c61b58c9707ce02b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000374-0000-af03374624ca841c.parquet",
-      "sha256": "af03374624ca841cb80980c5f5ba9a6e498155db6312a9f4b16a3bbb569fe30d",
-      "bytes": 325224,
-      "rows": 99,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000374-0000-b676ffb89d4c6c2f.parquet",
-      "sha256": "b676ffb89d4c6c2f5af6ae774ac499f887fa5907f41ec09bec0bdf8f0ff3d865",
-      "bytes": 54204,
-      "rows": 8,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000374-0000-ee79bc0034152f3a.parquet",
-      "sha256": "ee79bc0034152f3a498197711f497803a359946ed0dd168d143fa28a2767beeb",
-      "bytes": 65791,
-      "rows": 13,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18744",
     "deepseek:thm_18745",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018747.lean\",\"9eea8c251438cfe74e21d7acf0b6304510bdff86f283cfbd5b76c8c547b68c8a\",0,\"thm_18791\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018748.lean\",\"7c12fd6284d4aab0c0fbeafcd9245b3751d16f4e0103fffe1b5ccdd9973c564e\",0,\"thm_18792\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018749.lean\",\"e46556cd8c844563bc52f242c4a893e1fd7a2636366a84dd1131e7b45dac9c9a\",0,\"thm_18793\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325224,
+      "path": "data/train/p44/deepseek-000374-0000-af03374624ca841c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "af03374624ca841cb80980c5f5ba9a6e498155db6312a9f4b16a3bbb569fe30d"
+    },
+    {
+      "bytes": 54204,
+      "path": "data/dev/p44/deepseek-000374-0000-b676ffb89d4c6c2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b676ffb89d4c6c2f5af6ae774ac499f887fa5907f41ec09bec0bdf8f0ff3d865"
+    },
+    {
+      "bytes": 65791,
+      "path": "data/internal_test/p44/deepseek-000374-0000-ee79bc0034152f3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ee79bc0034152f3a498197711f497803a359946ed0dd168d143fa28a2767beeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000375.json b/manifests/batches/deepseek/000375.json
index 016ea3f8af74fc76fe469aecd2a444fcc3448e1d..a168a215d02c32552c9484a42efabfdeeb769c4e 100644
--- a/manifests/batches/deepseek/000375.json
+++ b/manifests/batches/deepseek/000375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000375",
   "batch_fingerprint": "df8dee39d37ffa264b2e59c440a8b221fb0233d47214b2ae082f2d2711d1cb0c",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000375-0000-51c5535ab72c6a7d.parquet",
-      "sha256": "51c5535ab72c6a7d8b09c7ee9e15d7084a2ec03c9635f3a5976b04c55b8c0bea",
-      "bytes": 306603,
-      "rows": 82,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000375-0000-6e3ea884c87e4eda.parquet",
-      "sha256": "6e3ea884c87e4eda006a898158e8c4de291bdf5da072f59b4c9841a6db8adf17",
-      "bytes": 67560,
-      "rows": 16,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000375-0000-6eacb2b64b7271a9.parquet",
-      "sha256": "6eacb2b64b7271a9435b5c9118bc9bfcd071da06216d3dd7775e04cca14a1bda",
-      "bytes": 50509,
-      "rows": 12,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18794",
     "deepseek:thm_18795",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018797.lean\",\"2ebc0e5d40461b705eeaa05070abbe2b88088bc13e6f103051c611fd5bda81ed\",0,\"thm_18841\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018798.lean\",\"a5d8da03cd7e385ce2c2ef69ef84bc45dcc399d08f14523587344fc224bee53d\",0,\"thm_18842\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018799.lean\",\"a4d41a25c32395d953a54cc4f4092c43d3820f807a3d0246349b5beb1537c848\",0,\"thm_18843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306603,
+      "path": "data/train/p8f/deepseek-000375-0000-51c5535ab72c6a7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "51c5535ab72c6a7d8b09c7ee9e15d7084a2ec03c9635f3a5976b04c55b8c0bea"
+    },
+    {
+      "bytes": 67560,
+      "path": "data/dev/p8f/deepseek-000375-0000-6e3ea884c87e4eda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6e3ea884c87e4eda006a898158e8c4de291bdf5da072f59b4c9841a6db8adf17"
+    },
+    {
+      "bytes": 50509,
+      "path": "data/internal_test/p8f/deepseek-000375-0000-6eacb2b64b7271a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6eacb2b64b7271a9435b5c9118bc9bfcd071da06216d3dd7775e04cca14a1bda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000376.json b/manifests/batches/deepseek/000376.json
index 7f29c898299dd1acbe5cab4db54b5af7dd85ed80..fed5a58f0b6155c92eb724f07a8812e62e2ddbbb 100644
--- a/manifests/batches/deepseek/000376.json
+++ b/manifests/batches/deepseek/000376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000376",
   "batch_fingerprint": "60265b7c0d15514e146c27c58ce61679bac15f2300c2d4239779b7e352198e77",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000376-0000-9bad9737f8587baf.parquet",
-      "sha256": "9bad9737f8587baf589945586a7be933028f8fe5410474eb465b9e2b2ced27c1",
-      "bytes": 325514,
-      "rows": 91,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000376-0000-f43b014ee0cfdbdf.parquet",
-      "sha256": "f43b014ee0cfdbdf120c1441327d360811d34a11484c1ba108298f3112035e85",
-      "bytes": 43113,
-      "rows": 8,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000376-0000-94451f41f36273f9.parquet",
-      "sha256": "94451f41f36273f929e81bb2a39d7e8749c5dc9edd2fd8304494618d53d94e80",
-      "bytes": 69992,
-      "rows": 18,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18844",
     "deepseek:thm_18845",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018847.lean\",\"879220f605bbd847341f5c684c6d3cbc50d5883b976482c96f68133cb20f1e2a\",0,\"thm_18891\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018848.lean\",\"b28495f45d6c4703a26d421a35c4b114eb0d9254374a89f75c9b39917edaf0c7\",0,\"thm_18892\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018849.lean\",\"4eb86d9de82aee347ad500a31618bb473e8e4126e9c80c9e1b19cdc207785849\",0,\"thm_18893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325514,
+      "path": "data/train/pd4/deepseek-000376-0000-9bad9737f8587baf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "9bad9737f8587baf589945586a7be933028f8fe5410474eb465b9e2b2ced27c1"
+    },
+    {
+      "bytes": 43113,
+      "path": "data/dev/pd4/deepseek-000376-0000-f43b014ee0cfdbdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f43b014ee0cfdbdf120c1441327d360811d34a11484c1ba108298f3112035e85"
+    },
+    {
+      "bytes": 69992,
+      "path": "data/internal_test/pd4/deepseek-000376-0000-94451f41f36273f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "94451f41f36273f929e81bb2a39d7e8749c5dc9edd2fd8304494618d53d94e80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000377.json b/manifests/batches/deepseek/000377.json
index edbf007f06bb9b6e915850c10631c0f3b7bbe400..b1382308b927eb42e87374fc8d181fc743308f94 100644
--- a/manifests/batches/deepseek/000377.json
+++ b/manifests/batches/deepseek/000377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000377",
   "batch_fingerprint": "c1e1c6db74305517b8333b9b59248ec84a37b0f9f0a05f4590661080873b0b96",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000377-0000-6549c56302151b5d.parquet",
-      "sha256": "6549c56302151b5d40872adc0dea8711e67f73dd6d849a5c2f4633a80c4f0394",
-      "bytes": 345346,
-      "rows": 98,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/deepseek-000377-0000-732191a0346feaad.parquet",
-      "sha256": "732191a0346feaad08e1a32052b9f58591c14d9e61eabcb369a0ebbc2f8244d2",
-      "bytes": 69566,
-      "rows": 20,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000377-0000-553acbc535b54edb.parquet",
-      "sha256": "553acbc535b54edbe6cd559f4a3a0e0300f525b882923b31e010fb8e4fdd6c0f",
-      "bytes": 40022,
-      "rows": 9,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18894",
     "deepseek:thm_18895",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018897.lean\",\"10a52a0ef89a4661cdac321e06643a2eb19640e2ddd3289d342583841de5198f\",0,\"thm_18941\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018898.lean\",\"5bfaa9b6fe17c505170a1a0decb14a575d24eb44beeefe9837eaaef0f7483089\",0,\"thm_18942\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018899.lean\",\"aa9d3bebcece74a797fa82f5323472e9696e96011e1fc3e163f0f32e7a98747f\",0,\"thm_18943\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345346,
+      "path": "data/train/p60/deepseek-000377-0000-6549c56302151b5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "6549c56302151b5d40872adc0dea8711e67f73dd6d849a5c2f4633a80c4f0394"
+    },
+    {
+      "bytes": 69566,
+      "path": "data/dev/p60/deepseek-000377-0000-732191a0346feaad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "732191a0346feaad08e1a32052b9f58591c14d9e61eabcb369a0ebbc2f8244d2"
+    },
+    {
+      "bytes": 40022,
+      "path": "data/internal_test/p60/deepseek-000377-0000-553acbc535b54edb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "553acbc535b54edbe6cd559f4a3a0e0300f525b882923b31e010fb8e4fdd6c0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000378.json b/manifests/batches/deepseek/000378.json
index 6d815e7b7774b2655dfccc1b634780bc66d8a455..ae160eb6ed5fe986703e77947cdd186234970318 100644
--- a/manifests/batches/deepseek/000378.json
+++ b/manifests/batches/deepseek/000378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000378",
   "batch_fingerprint": "dcd402497dac0a86b3a7a0a22557cffbfd2d5dd8a993f01a839bf82b8d056ff5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000378-0000-342d44675111c773.parquet",
-      "sha256": "342d44675111c7732ffcbaa9e0ea5d1b527829254c4fea7198340f721f0e9b80",
-      "bytes": 359504,
-      "rows": 101,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/deepseek-000378-0000-27234620a1113617.parquet",
-      "sha256": "27234620a111361711bd3f94b6cea0a3b1cd619c460de84df39c1c7a5e1f677d",
-      "bytes": 45453,
-      "rows": 11,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000378-0000-b976ea9b7d09bf96.parquet",
-      "sha256": "b976ea9b7d09bf96a84e8e9b2e98b6593ec62963b565cbb3823421db774574b6",
-      "bytes": 41990,
-      "rows": 4,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18944",
     "deepseek:thm_18945",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018947.lean\",\"b2b7b41d57e88a6cc9e36e864725ca9d22bdb12f6c232e87af1468a71364ce10\",0,\"thm_18991\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018948.lean\",\"6c845203b007cb52f7d416d52df2c14494296bfcca49ea3b8b076ba36191308f\",0,\"thm_18992\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018949.lean\",\"f27e1d3dc871df218de2fad469c4cfeb5cc75fd9919a7a764fcf1dd76678a4ab\",0,\"thm_18993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359504,
+      "path": "data/train/pf9/deepseek-000378-0000-342d44675111c773.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "342d44675111c7732ffcbaa9e0ea5d1b527829254c4fea7198340f721f0e9b80"
+    },
+    {
+      "bytes": 45453,
+      "path": "data/dev/pf9/deepseek-000378-0000-27234620a1113617.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "27234620a111361711bd3f94b6cea0a3b1cd619c460de84df39c1c7a5e1f677d"
+    },
+    {
+      "bytes": 41990,
+      "path": "data/internal_test/pf9/deepseek-000378-0000-b976ea9b7d09bf96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b976ea9b7d09bf96a84e8e9b2e98b6593ec62963b565cbb3823421db774574b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000379.json b/manifests/batches/deepseek/000379.json
index a1c6d341d3ff0cd7e219a9f5088593e7b9e81b40..ed1285fe36c920adac724217555b65464bb1d4c2 100644
--- a/manifests/batches/deepseek/000379.json
+++ b/manifests/batches/deepseek/000379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000379",
   "batch_fingerprint": "3980d8a484d41cd7ebe0f8447af47f153e6498ecfc219b165e1d82de48b1b776",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000379-0000-1226f57b0b2376b1.parquet",
-      "sha256": "1226f57b0b2376b197eb3b126d6cd2174f778b123b1d28e70b43f07f40ae2638",
-      "bytes": 278617,
-      "rows": 95,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/dev/deepseek-000379-0000-e71a5d7f8b4b701c.parquet",
-      "sha256": "e71a5d7f8b4b701c461139692de974159d2bc0fa033c9b82215e51f7e5e4bdfc",
-      "bytes": 61467,
-      "rows": 11,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000379-0000-e399c53d998127c9.parquet",
-      "sha256": "e399c53d998127c98def20ed3f3252b00acf043abe0b3838c819cad73bae9cd0",
-      "bytes": 51300,
-      "rows": 12,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_18994",
     "deepseek:thm_18996",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018997.lean\",\"3f448c874e4f008e6c4c894965ba76f9ce3a1be50a74bc775392ae765eb70a32\",0,\"thm_19041\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018998.lean\",\"a74ff52d10c7accbfed87b002467a2cb0f3645510cc2a917cad012ba701aa25a\",0,\"thm_19042\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_018999.lean\",\"8885bda0144ef32686ab07fc196d6149f390b160fcb9ddabb2fa2dfa219fc6e4\",0,\"thm_19043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278617,
+      "path": "data/train/p67/deepseek-000379-0000-1226f57b0b2376b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "1226f57b0b2376b197eb3b126d6cd2174f778b123b1d28e70b43f07f40ae2638"
+    },
+    {
+      "bytes": 61467,
+      "path": "data/dev/p67/deepseek-000379-0000-e71a5d7f8b4b701c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e71a5d7f8b4b701c461139692de974159d2bc0fa033c9b82215e51f7e5e4bdfc"
+    },
+    {
+      "bytes": 51300,
+      "path": "data/internal_test/p67/deepseek-000379-0000-e399c53d998127c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e399c53d998127c98def20ed3f3252b00acf043abe0b3838c819cad73bae9cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000380.json b/manifests/batches/deepseek/000380.json
index 7e5af6703126b8bb11b6210009a3a8b7b9f0e45e..6caf5e9e9ef10ab540797cb7d49d482ab0444abc 100644
--- a/manifests/batches/deepseek/000380.json
+++ b/manifests/batches/deepseek/000380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000380",
   "batch_fingerprint": "a49d97d1535024eaef104c3ac2a24862442d8490db1a1b815c0500b25dc14f5e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000380-0000-d2b41fab3cc65e71.parquet",
-      "sha256": "d2b41fab3cc65e714b449d5026904736724663d092b1e96ffe1f9ca0acec3178",
-      "bytes": 383747,
-      "rows": 105,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/deepseek-000380-0000-a26db6cdc2548455.parquet",
-      "sha256": "a26db6cdc25484555b51263d8c71c6b5a30b08e184745fcfef9519ffd64a5bd0",
-      "bytes": 42336,
-      "rows": 8,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000380-0000-4b30fc0883c9e329.parquet",
-      "sha256": "4b30fc0883c9e329f89c50e3068f3033ea99ace7d657e7ad3e3462df7bf2756c",
-      "bytes": 51380,
-      "rows": 6,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19044",
     "deepseek:thm_19045",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019047.lean\",\"eba93c65a3d18a5db9b138b7ac29364188c47953e37d536ebc16c123fcc4ebcf\",0,\"thm_19091\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019048.lean\",\"33c8b1ddd1351fdfe14951a93fb155a6412b13b2a474ff0bcb8bc36399fcf0d3\",0,\"thm_19092\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019049.lean\",\"8a2adaef3b7680d948368b63a14c9a838876bf0db973f38803686f6ebb9203ac\",0,\"thm_19093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383747,
+      "path": "data/train/pea/deepseek-000380-0000-d2b41fab3cc65e71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "d2b41fab3cc65e714b449d5026904736724663d092b1e96ffe1f9ca0acec3178"
+    },
+    {
+      "bytes": 42336,
+      "path": "data/dev/pea/deepseek-000380-0000-a26db6cdc2548455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a26db6cdc25484555b51263d8c71c6b5a30b08e184745fcfef9519ffd64a5bd0"
+    },
+    {
+      "bytes": 51380,
+      "path": "data/internal_test/pea/deepseek-000380-0000-4b30fc0883c9e329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4b30fc0883c9e329f89c50e3068f3033ea99ace7d657e7ad3e3462df7bf2756c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000381.json b/manifests/batches/deepseek/000381.json
index 1a7264bc14c29e11285cabe13b2923006de346c7..f390c0e57f7288658e20418deab10ddea96ff6b3 100644
--- a/manifests/batches/deepseek/000381.json
+++ b/manifests/batches/deepseek/000381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000381",
   "batch_fingerprint": "218c1aab08ef79087f3d3f0a1ffbf223650a5b1ccb0f34f78d20b5c6924e2857",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000381-0000-72c675892db8db57.parquet",
-      "sha256": "72c675892db8db57feb93b2aba924e2720c38993e3e21c9dd1ac83ce1044b5b5",
-      "bytes": 277409,
-      "rows": 87,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/dev/deepseek-000381-0000-1ca38e6cf3d4847a.parquet",
-      "sha256": "1ca38e6cf3d4847ab577099f0e183f6a7825a8a05ae27641b8d87547cc362f28",
-      "bytes": 45372,
-      "rows": 2,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000381-0000-32ad6d5133a45951.parquet",
-      "sha256": "32ad6d5133a459512fa5a0a280c552beece7318ab3682fdc3008bc54e490eed5",
-      "bytes": 54328,
-      "rows": 7,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19094",
     "deepseek:thm_19095",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019097.lean\",\"00c6e156b0880187337ca1fa7563a16a0f45f7a6a6e07f6560b99319c5894978\",0,\"thm_19141\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019098.lean\",\"eb72c1965081cba28e2d8d10f46662800f66c2753362dfe8814335cfef99d7e1\",0,\"thm_19142\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019099.lean\",\"04a843fe6ad9e616c30533cb861c306cb0f2cc7b1dd9bbc9a7997f2b0a88744b\",0,\"thm_19143\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277409,
+      "path": "data/train/p99/deepseek-000381-0000-72c675892db8db57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "72c675892db8db57feb93b2aba924e2720c38993e3e21c9dd1ac83ce1044b5b5"
+    },
+    {
+      "bytes": 45372,
+      "path": "data/dev/p99/deepseek-000381-0000-1ca38e6cf3d4847a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1ca38e6cf3d4847ab577099f0e183f6a7825a8a05ae27641b8d87547cc362f28"
+    },
+    {
+      "bytes": 54328,
+      "path": "data/internal_test/p99/deepseek-000381-0000-32ad6d5133a45951.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "32ad6d5133a459512fa5a0a280c552beece7318ab3682fdc3008bc54e490eed5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000382.json b/manifests/batches/deepseek/000382.json
index b7208fc6d20353447ef90c13100cbbad255f0f1a..b266f8d5299a15f3d3f8c50d4a49838238f56aaf 100644
--- a/manifests/batches/deepseek/000382.json
+++ b/manifests/batches/deepseek/000382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000382",
   "batch_fingerprint": "b291e663a99dc07414cd91ea4dbe85ae957173c1769c984eb54052fd97639def",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000382-0000-746a3129fd25def4.parquet",
-      "sha256": "746a3129fd25def4b8d985b682240a831d55b341e0fb13855dfc445721472329",
-      "bytes": 305265,
-      "rows": 96,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/dev/deepseek-000382-0000-10a20b48a9d8a858.parquet",
-      "sha256": "10a20b48a9d8a858e5f9dcd6403ba2687d6c41f7f4f12006b31ddc36bcc066d5",
-      "bytes": 33840,
-      "rows": 2,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/internal_test/deepseek-000382-0000-213e2ec38c049a44.parquet",
-      "sha256": "213e2ec38c049a4498ba0eb329feaaae76847d5c0c4cf9ef5a9e0105f3ed140e",
-      "bytes": 55249,
-      "rows": 14,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19144",
     "deepseek:thm_19145",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019147.lean\",\"1ae1f59f601df656081d63025cff0de4c79141230587296d753f073a4e1219dd\",0,\"thm_19191\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019148.lean\",\"e396134da39eabf2b408e2a0c2d585f68abd2d450359563eaf8b129d5addaba2\",0,\"thm_19192\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019149.lean\",\"85683bc920b73dc626ebafdee304e3c83df6800436c4046f884d168534becefe\",0,\"thm_19193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305265,
+      "path": "data/train/p2f/deepseek-000382-0000-746a3129fd25def4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "746a3129fd25def4b8d985b682240a831d55b341e0fb13855dfc445721472329"
+    },
+    {
+      "bytes": 33840,
+      "path": "data/dev/p2f/deepseek-000382-0000-10a20b48a9d8a858.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "10a20b48a9d8a858e5f9dcd6403ba2687d6c41f7f4f12006b31ddc36bcc066d5"
+    },
+    {
+      "bytes": 55249,
+      "path": "data/internal_test/p2f/deepseek-000382-0000-213e2ec38c049a44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "213e2ec38c049a4498ba0eb329feaaae76847d5c0c4cf9ef5a9e0105f3ed140e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000383.json b/manifests/batches/deepseek/000383.json
index 33faa036f890219acb41092351219e59421c3ca2..6cf4db72b9fccfac9b4f45c8f64c094c6e10d415 100644
--- a/manifests/batches/deepseek/000383.json
+++ b/manifests/batches/deepseek/000383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000383",
   "batch_fingerprint": "65f6bc2ad4003e46797f2d98e2c934f0c7e68ab857c356fc271888ce703c6e8f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000383-0000-33aac46fe1ff4c6f.parquet",
-      "sha256": "33aac46fe1ff4c6f6ee88a7f64f284c40840b0d95484591e00341ff371e21816",
-      "bytes": 329672,
-      "rows": 106,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/deepseek-000383-0000-c22e0342cd99a6d7.parquet",
-      "sha256": "c22e0342cd99a6d79e48c1f982b874bc26a8502e5228e54f0eaf7b376f047d98",
-      "bytes": 40386,
-      "rows": 2,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000383-0000-3c67ae08d7bb9e14.parquet",
-      "sha256": "3c67ae08d7bb9e1417ae48b4611ed2ede315fee06e3f0e24b6d740efa38ae68a",
-      "bytes": 70013,
-      "rows": 10,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19194",
     "deepseek:thm_19195",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019197.lean\",\"5fb88a3e7f971a4c6ab636d38c87906afba10ba27976c56914c7568f7e052bf6\",0,\"thm_19241\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019198.lean\",\"706785c104bc76a34b268eb578231c8eb044102ad3fc9edbee41565b2aec3497\",0,\"thm_19242\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019199.lean\",\"5217944afd0c438e427fb33519bfb4c1c443ea2e098475af31bed6b2a465430b\",0,\"thm_19243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329672,
+      "path": "data/train/pd6/deepseek-000383-0000-33aac46fe1ff4c6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "33aac46fe1ff4c6f6ee88a7f64f284c40840b0d95484591e00341ff371e21816"
+    },
+    {
+      "bytes": 40386,
+      "path": "data/dev/pd6/deepseek-000383-0000-c22e0342cd99a6d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c22e0342cd99a6d79e48c1f982b874bc26a8502e5228e54f0eaf7b376f047d98"
+    },
+    {
+      "bytes": 70013,
+      "path": "data/internal_test/pd6/deepseek-000383-0000-3c67ae08d7bb9e14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3c67ae08d7bb9e1417ae48b4611ed2ede315fee06e3f0e24b6d740efa38ae68a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000384.json b/manifests/batches/deepseek/000384.json
index 9b0d3f0c9b2ea7473c946a91b2ef2eae4ee8a973..95c38b3e3f32f2e3e8ac472cb3da347ebed638b5 100644
--- a/manifests/batches/deepseek/000384.json
+++ b/manifests/batches/deepseek/000384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000384",
   "batch_fingerprint": "d6dd01053e63533c14b4a0b6c0df360fff44f97a30c190986e0be9ba5f4f579a",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000384-0000-634b3dc95517ffd9.parquet",
-      "sha256": "634b3dc95517ffd96c330fa944adba13e4f8479ef7f9411506d1e646809d4b49",
-      "bytes": 271881,
-      "rows": 81,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/dev/deepseek-000384-0000-6e35e8df22be5935.parquet",
-      "sha256": "6e35e8df22be593540f26e0067a0068e02f1f1c419fc4e8962a9960b94bdff40",
-      "bytes": 52619,
-      "rows": 9,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000384-0000-224c54b0f7e7f2f5.parquet",
-      "sha256": "224c54b0f7e7f2f52246602c61e14db4ea8fce19f3006f266c2f7ffdddfdfb0a",
-      "bytes": 64640,
-      "rows": 16,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19244",
     "deepseek:thm_19245",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019247.lean\",\"b188bf4b4eaf2917a520094ee659c978715404c47f3713d7925974c8cffbe848\",0,\"thm_19291\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019248.lean\",\"3d73dd57a5c73426660ebb26d9c2a135a1e3fae9db52e32217736aaa00d04ef7\",0,\"thm_19292\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019249.lean\",\"2e51037081567d91d096a4297025a2b9f117354c0240c85325e1ff6252ff2648\",0,\"thm_19293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271881,
+      "path": "data/train/p9b/deepseek-000384-0000-634b3dc95517ffd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "634b3dc95517ffd96c330fa944adba13e4f8479ef7f9411506d1e646809d4b49"
+    },
+    {
+      "bytes": 52619,
+      "path": "data/dev/p9b/deepseek-000384-0000-6e35e8df22be5935.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6e35e8df22be593540f26e0067a0068e02f1f1c419fc4e8962a9960b94bdff40"
+    },
+    {
+      "bytes": 64640,
+      "path": "data/internal_test/p9b/deepseek-000384-0000-224c54b0f7e7f2f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "224c54b0f7e7f2f52246602c61e14db4ea8fce19f3006f266c2f7ffdddfdfb0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000385.json b/manifests/batches/deepseek/000385.json
index 1c59426ca4bbcbef533970899dcf8d6c2909d857..244b3c7a9f661c2863a5922e9f705dad961708df 100644
--- a/manifests/batches/deepseek/000385.json
+++ b/manifests/batches/deepseek/000385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000385",
   "batch_fingerprint": "eae9500cb26b28402dea34b722c81bb123c9ad10cb673d1045a94c3c5c9ebc2b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000385-0000-ce7d35f1e3138501.parquet",
-      "sha256": "ce7d35f1e3138501c789925d7d59bb3009dc5dad1f4a4f87c80bf363e71b5b75",
-      "bytes": 298819,
-      "rows": 91,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/deepseek-000385-0000-abedb684ee796218.parquet",
-      "sha256": "abedb684ee7962188baa171e4122beff97d688049b72ee861b2ecee86f003a16",
-      "bytes": 39802,
-      "rows": 7,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000385-0000-609cc04f388831ba.parquet",
-      "sha256": "609cc04f388831bae11e4356f84fc879c21dcb80e5210b525b9e69ec6e67da3f",
-      "bytes": 58849,
-      "rows": 11,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19294",
     "deepseek:thm_19295",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019297.lean\",\"3af040fc33de59e5613fa40640d9e3ba037e893d90397f7a08109633f57473d8\",0,\"thm_19341\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019298.lean\",\"0f9e2020f64cb5836ee0055eed1eda47b5c725e98fba3ff60c3fb048a926b326\",0,\"thm_19342\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019299.lean\",\"390ae07d919a82244154fd5090ea9ed4ad47244a857964414821eb598675bf3c\",0,\"thm_19343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298819,
+      "path": "data/train/pc8/deepseek-000385-0000-ce7d35f1e3138501.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "ce7d35f1e3138501c789925d7d59bb3009dc5dad1f4a4f87c80bf363e71b5b75"
+    },
+    {
+      "bytes": 39802,
+      "path": "data/dev/pc8/deepseek-000385-0000-abedb684ee796218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "abedb684ee7962188baa171e4122beff97d688049b72ee861b2ecee86f003a16"
+    },
+    {
+      "bytes": 58849,
+      "path": "data/internal_test/pc8/deepseek-000385-0000-609cc04f388831ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "609cc04f388831bae11e4356f84fc879c21dcb80e5210b525b9e69ec6e67da3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000386.json b/manifests/batches/deepseek/000386.json
index c29fb213513f38f9f68a8a0a96f244f81721c251..ca1758650334474913b1b7e2e4a300b987c22603 100644
--- a/manifests/batches/deepseek/000386.json
+++ b/manifests/batches/deepseek/000386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000386",
   "batch_fingerprint": "b9646db22b71902f39be4c2ea835e4211c8d3879d18e22bbd3b0a2a30037d8da",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000386-0000-fdc39321c194a8aa.parquet",
-      "sha256": "fdc39321c194a8aa00ad1f0a4fe10378ab249930f9af0a7db2ab0a16baf4ffdf",
-      "bytes": 299300,
-      "rows": 87,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/deepseek-000386-0000-b614507b3d5b3147.parquet",
-      "sha256": "b614507b3d5b314764fb0b0dec1e6e6834f09af3ba01707ed8a63b342ddd4b85",
-      "bytes": 57229,
-      "rows": 11,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000386-0000-800b9fdd5b5d46e3.parquet",
-      "sha256": "800b9fdd5b5d46e3b844c8f2d95b2d01cc964cd12775cd8e36735ed173a4b590",
-      "bytes": 84140,
-      "rows": 23,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19344",
     "deepseek:thm_19345",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019347.lean\",\"f783c02876e7ded4f8d3104450ff8cdadedb6227ec6d6da62cdb9d1fd22015d5\",0,\"thm_19391\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019348.lean\",\"f4df2a1262454636faaadb90edad234c096ffcf67b9e866a953ed947c416918a\",0,\"thm_19392\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019349.lean\",\"76efa45916399046c41fd3d7fe2350f8fa76aa90af73197aa6f879c79aafcc08\",0,\"thm_19393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299300,
+      "path": "data/train/p5f/deepseek-000386-0000-fdc39321c194a8aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "fdc39321c194a8aa00ad1f0a4fe10378ab249930f9af0a7db2ab0a16baf4ffdf"
+    },
+    {
+      "bytes": 57229,
+      "path": "data/dev/p5f/deepseek-000386-0000-b614507b3d5b3147.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b614507b3d5b314764fb0b0dec1e6e6834f09af3ba01707ed8a63b342ddd4b85"
+    },
+    {
+      "bytes": 84140,
+      "path": "data/internal_test/p5f/deepseek-000386-0000-800b9fdd5b5d46e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "800b9fdd5b5d46e3b844c8f2d95b2d01cc964cd12775cd8e36735ed173a4b590"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000387.json b/manifests/batches/deepseek/000387.json
index 0e6dc6874c94b84ba2fa6cf245ece2a3b10a856b..a67dc3cc4396133654e0d746ba5cad3b136e4aef 100644
--- a/manifests/batches/deepseek/000387.json
+++ b/manifests/batches/deepseek/000387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000387",
   "batch_fingerprint": "b510a35dd685f57c711d85054d8b36fe7a54f3ec34682af619977682d0b87e1c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000387-0000-e328882c7aca37fb.parquet",
-      "sha256": "e328882c7aca37fb705e3d97bbc6c45aeba688aa89c09416c549138d2cc2b1f1",
-      "bytes": 249078,
-      "rows": 74,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/deepseek-000387-0000-9259af7ca52f2c5f.parquet",
-      "sha256": "9259af7ca52f2c5f0cb75619831f8acc967db77c1b1379e5fc2b16b05ff6d234",
-      "bytes": 59342,
-      "rows": 16,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000387-0000-0366cab44696bf4f.parquet",
-      "sha256": "0366cab44696bf4f64051fb4f31149e6c4b90580469a84ed1619b74aa8a1fc5a",
-      "bytes": 61211,
-      "rows": 18,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19394",
     "deepseek:thm_19395",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019397.lean\",\"cb6bb7792efa312cebb409380c225eecc459a1657b39b01a856c6be6c3e9d169\",0,\"thm_19441\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019398.lean\",\"375598582ef4ee047848251cb3313f9c1dfbbf053fa49d5ff4e180962f1685f8\",0,\"thm_19442\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019399.lean\",\"f0bfb6d4368dae80da7dc6026a73f875d69f4757f09f829dbf302b9629b75d28\",0,\"thm_19443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249078,
+      "path": "data/train/p5e/deepseek-000387-0000-e328882c7aca37fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "e328882c7aca37fb705e3d97bbc6c45aeba688aa89c09416c549138d2cc2b1f1"
+    },
+    {
+      "bytes": 59342,
+      "path": "data/dev/p5e/deepseek-000387-0000-9259af7ca52f2c5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9259af7ca52f2c5f0cb75619831f8acc967db77c1b1379e5fc2b16b05ff6d234"
+    },
+    {
+      "bytes": 61211,
+      "path": "data/internal_test/p5e/deepseek-000387-0000-0366cab44696bf4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0366cab44696bf4f64051fb4f31149e6c4b90580469a84ed1619b74aa8a1fc5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000388.json b/manifests/batches/deepseek/000388.json
index 44eb872691f1b8beb51f16a40865ef7922d14a50..4b4a9bae28c3dcdd8ea066e496d77491e25cda13 100644
--- a/manifests/batches/deepseek/000388.json
+++ b/manifests/batches/deepseek/000388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000388",
   "batch_fingerprint": "966a28be5f2e821293722b47dca198f237d25278f91865b379ac63be909e456d",
   "evidence": {
@@ -76,22 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000388-0000-8d696b0fca1e7655.parquet",
-      "sha256": "8d696b0fca1e7655a61afa7bd77e9ffd4ce0690c05a33eabf2859f0b4408a253",
-      "bytes": 316768,
-      "rows": 98,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000388-0000-99300f6aa3a2490d.parquet",
-      "sha256": "99300f6aa3a2490dc714566ad1fe7bd84f3041d83a7ce0948bbc013205a3a204",
-      "bytes": 76686,
-      "rows": 15,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19444",
     "deepseek:thm_19445",
@@ -189,5 +173,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019447.lean\",\"8499a55d6869d4750c593cf6ec082cc060147b7ef9f22b762f38568ef02f2315\",0,\"thm_19491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019448.lean\",\"ca357d81fd9754fc57ca36d07a1b453a0e3d5029040923a96c2a389f2411b285\",0,\"thm_19492\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019449.lean\",\"caafa56c3b6e6bb51ac479068f810a17d54a445a13a8c27d6a3c10ea28e72b85\",0,\"thm_19493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316768,
+      "path": "data/train/pe4/deepseek-000388-0000-8d696b0fca1e7655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "8d696b0fca1e7655a61afa7bd77e9ffd4ce0690c05a33eabf2859f0b4408a253"
+    },
+    {
+      "bytes": 76686,
+      "path": "data/internal_test/pe4/deepseek-000388-0000-99300f6aa3a2490d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "99300f6aa3a2490dc714566ad1fe7bd84f3041d83a7ce0948bbc013205a3a204"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000389.json b/manifests/batches/deepseek/000389.json
index 3f02b64e20d6b4e6a0bba52610900951464a969a..99c7dcbeb031e120c4cfda2c9eaa8f10a03b1462 100644
--- a/manifests/batches/deepseek/000389.json
+++ b/manifests/batches/deepseek/000389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000389",
   "batch_fingerprint": "9053559d70e7ac75def933ae8274550a6f17e416171e9e61e4e3a6b003d42bd8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000389-0000-aee0e805b284d802.parquet",
-      "sha256": "aee0e805b284d802359285edf080b34120030ec857c5a7557b7d0ba524965ba2",
-      "bytes": 341212,
-      "rows": 111,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/deepseek-000389-0000-a6b051ea3a54277d.parquet",
-      "sha256": "a6b051ea3a54277db360758cbc07aeae6874f24fce09471180c0d1a9e9a6acd0",
-      "bytes": 41779,
-      "rows": 4,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000389-0000-800bcb2ae537260d.parquet",
-      "sha256": "800bcb2ae537260d96422dd563e19314f79125787f1dff889b2e10a5c9a0d5ab",
-      "bytes": 36326,
-      "rows": 6,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19494",
     "deepseek:thm_19495",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019497.lean\",\"74fd673a1c7c10042ec781445397a1133bacc8e7321e0f4a7937d0cb7b7688ca\",0,\"thm_19541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019498.lean\",\"ca317006f531c7c113ed2c115bfba5890699eff904382d8d5d27602d4248864c\",0,\"thm_19542\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019499.lean\",\"c1767450986cbf92f77f0bda39b20948dd4d0deb67765e92036accfba1753d17\",0,\"thm_19543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341212,
+      "path": "data/train/pb5/deepseek-000389-0000-aee0e805b284d802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "aee0e805b284d802359285edf080b34120030ec857c5a7557b7d0ba524965ba2"
+    },
+    {
+      "bytes": 41779,
+      "path": "data/dev/pb5/deepseek-000389-0000-a6b051ea3a54277d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a6b051ea3a54277db360758cbc07aeae6874f24fce09471180c0d1a9e9a6acd0"
+    },
+    {
+      "bytes": 36326,
+      "path": "data/internal_test/pb5/deepseek-000389-0000-800bcb2ae537260d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "800bcb2ae537260d96422dd563e19314f79125787f1dff889b2e10a5c9a0d5ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000390.json b/manifests/batches/deepseek/000390.json
index 652b8164d4285d06d71416fffb2d06cb82be0b2d..ecef23e4585d2c96f494c949917b3a03713b8e35 100644
--- a/manifests/batches/deepseek/000390.json
+++ b/manifests/batches/deepseek/000390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000390",
   "batch_fingerprint": "b6c46ab5e71395672fac282c23e551671783d1998248dc25bc6ab983f0a79176",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000390-0000-348df30b29a9f678.parquet",
-      "sha256": "348df30b29a9f6781ba811ed32ede9468c5be840c3289d2ad3bce120c6b703a4",
-      "bytes": 339274,
-      "rows": 109,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000390-0000-6fd60bcf73384fa2.parquet",
-      "sha256": "6fd60bcf73384fa2e4459f699cf8970d17b229ffa4d07a69a6872026f8deaa88",
-      "bytes": 49615,
-      "rows": 8,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19544",
     "deepseek:thm_19545",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019547.lean\",\"1cfcd47698fcc06890850d2063ec0a9aef1fe0e6eb8351864cf7edfddfc40f12\",0,\"thm_19591\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019548.lean\",\"0f3f2c9f9cc9fcf3924dcd82b0de6592dcc754dca2737aa8a35970c063d140d6\",0,\"thm_19592\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019549.lean\",\"085466cc850c8fb35f61de27e34cf1585a41268fc815b5cb16877b578b627aea\",0,\"thm_19593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339274,
+      "path": "data/train/pa9/deepseek-000390-0000-348df30b29a9f678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "348df30b29a9f6781ba811ed32ede9468c5be840c3289d2ad3bce120c6b703a4"
+    },
+    {
+      "bytes": 49615,
+      "path": "data/internal_test/pa9/deepseek-000390-0000-6fd60bcf73384fa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6fd60bcf73384fa2e4459f699cf8970d17b229ffa4d07a69a6872026f8deaa88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000391.json b/manifests/batches/deepseek/000391.json
index b5fce0a0e1f23cfc444f9dc6f5b251ffb89b53ee..e6bf1cefd5530a8506b15c7db86575383c312c21 100644
--- a/manifests/batches/deepseek/000391.json
+++ b/manifests/batches/deepseek/000391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000391",
   "batch_fingerprint": "f6e5ee3059d6f2607e7ee6f92d44e845880fd0eb23ce6ba059b133739a7642ba",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000391-0000-ae2d5d85024998a4.parquet",
-      "sha256": "ae2d5d85024998a43bc78cca3b03b1cbed1cb06decdb9655321d949a9d8708a7",
-      "bytes": 285024,
-      "rows": 87,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/dev/deepseek-000391-0000-1be6add853f3a76e.parquet",
-      "sha256": "1be6add853f3a76ea71f89913b74dbb8ab4a68b6bb542c77d56ce61b1a5a29e9",
-      "bytes": 42241,
-      "rows": 8,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000391-0000-87e1c2fb4f3ba5d8.parquet",
-      "sha256": "87e1c2fb4f3ba5d836c51441bcc8140747c1ecb732fc5738b9562a4f501a7811",
-      "bytes": 55375,
-      "rows": 14,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19594",
     "deepseek:thm_19595",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019597.lean\",\"7546ea881e94628b2ace726c7edf6d3cb908580bd3846181101253f4d11699ae\",0,\"thm_19641\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019598.lean\",\"a2ba61a5c169e6a7f7aed2d28a67ea1043ae8fd252d22da6c65b6f030988a444\",0,\"thm_19642\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019599.lean\",\"4b733fcba51527a08261fe057f1cb337833f923f6d68dba3c80072411a50b8cf\",0,\"thm_19643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285024,
+      "path": "data/train/pa8/deepseek-000391-0000-ae2d5d85024998a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "ae2d5d85024998a43bc78cca3b03b1cbed1cb06decdb9655321d949a9d8708a7"
+    },
+    {
+      "bytes": 42241,
+      "path": "data/dev/pa8/deepseek-000391-0000-1be6add853f3a76e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1be6add853f3a76ea71f89913b74dbb8ab4a68b6bb542c77d56ce61b1a5a29e9"
+    },
+    {
+      "bytes": 55375,
+      "path": "data/internal_test/pa8/deepseek-000391-0000-87e1c2fb4f3ba5d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "87e1c2fb4f3ba5d836c51441bcc8140747c1ecb732fc5738b9562a4f501a7811"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000392.json b/manifests/batches/deepseek/000392.json
index d37988f80957c3e884ac1639fbbc5951786f47e4..f26fe3caccb43afb2f2f275c7c04ac95a30efeb5 100644
--- a/manifests/batches/deepseek/000392.json
+++ b/manifests/batches/deepseek/000392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000392",
   "batch_fingerprint": "670437a17f3809f159841bc5c1bf026f03206c346477029618db61495773cbbb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000392-0000-24070a7ea1446b14.parquet",
-      "sha256": "24070a7ea1446b14e2f3d4eef32d90ab17036b08c070250ff8c59654abb94449",
-      "bytes": 353172,
-      "rows": 111,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000392-0000-54849e97076799e0.parquet",
-      "sha256": "54849e97076799e00d7af0bea4b76413f5f093e98e8868490c28a3b42c7cf71d",
-      "bytes": 50245,
-      "rows": 14,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19644",
     "deepseek:thm_19645",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019647.lean\",\"536255b8ae8fc02712c7ec647a5ad2ea41ef20025de7f00a0a78d26d8efa42fa\",0,\"thm_19691\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019648.lean\",\"77b4293838cd0627ae6ba61b476ae4146479492f13f01748d741da139fd4409a\",0,\"thm_19692\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019649.lean\",\"3c7ad82175dd1068a8819a3ef4cf4b4395479cf1023375d999bf2a879cd47281\",0,\"thm_19693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353172,
+      "path": "data/train/pd9/deepseek-000392-0000-24070a7ea1446b14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "24070a7ea1446b14e2f3d4eef32d90ab17036b08c070250ff8c59654abb94449"
+    },
+    {
+      "bytes": 50245,
+      "path": "data/internal_test/pd9/deepseek-000392-0000-54849e97076799e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "54849e97076799e00d7af0bea4b76413f5f093e98e8868490c28a3b42c7cf71d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000393.json b/manifests/batches/deepseek/000393.json
index 4cd8db1fde294937b8f57cfeb202cfbe97a8378c..b5d4956c4867b9004899590ae78299f85e027027 100644
--- a/manifests/batches/deepseek/000393.json
+++ b/manifests/batches/deepseek/000393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000393",
   "batch_fingerprint": "b6fe0d92f1250ab42072ee92831e2d3ada557acf8188b187c6e4a219cc647be9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000393-0000-6a4215313d39a38f.parquet",
-      "sha256": "6a4215313d39a38f17334617bcec89e397dfa150e4bcd0f29edc2ac031f92e84",
-      "bytes": 331319,
-      "rows": 110,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/deepseek-000393-0000-1d5a039acf4e7b99.parquet",
-      "sha256": "1d5a039acf4e7b997a9c29ddb721d559a1beec5ce02cc9ac4ef76d37b78244da",
-      "bytes": 35269,
-      "rows": 7,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000393-0000-9549d61a1fd602a7.parquet",
-      "sha256": "9549d61a1fd602a7e0b6a6838d8c2cee75f212a0193894f3e3adfd7454de422b",
-      "bytes": 50410,
-      "rows": 11,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19694",
     "deepseek:thm_19695",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019697.lean\",\"ef8e16da2fe7ecce7497a268667f090e2333fa3e3a53cebe668762c3995e3bc5\",0,\"thm_19741\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019698.lean\",\"5f707efc90f7dad2030365213a1ed39925d33fcb57587db8df185bbed8fa5be2\",0,\"thm_19742\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019699.lean\",\"8355ba4b337323258df3f3dc2ba15ad39ec4eb4516982475017754828bacfa81\",0,\"thm_19743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331319,
+      "path": "data/train/p76/deepseek-000393-0000-6a4215313d39a38f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "6a4215313d39a38f17334617bcec89e397dfa150e4bcd0f29edc2ac031f92e84"
+    },
+    {
+      "bytes": 35269,
+      "path": "data/dev/p76/deepseek-000393-0000-1d5a039acf4e7b99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1d5a039acf4e7b997a9c29ddb721d559a1beec5ce02cc9ac4ef76d37b78244da"
+    },
+    {
+      "bytes": 50410,
+      "path": "data/internal_test/p76/deepseek-000393-0000-9549d61a1fd602a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9549d61a1fd602a7e0b6a6838d8c2cee75f212a0193894f3e3adfd7454de422b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000394.json b/manifests/batches/deepseek/000394.json
index abbd66a098e09beec2a484a24f49b5b59da09793..e331fef3f6c006e80f324954bdf6ac00d3a368ac 100644
--- a/manifests/batches/deepseek/000394.json
+++ b/manifests/batches/deepseek/000394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000394",
   "batch_fingerprint": "45f882f308af5b1a2dd8695972d7a17fd5fbe61c0cc1ea7895751b43916570dc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000394-0000-fe41c0f4561d4592.parquet",
-      "sha256": "fe41c0f4561d4592d37ce1e5283bc7f9bafde5b9e49e49d94ae3b43e651a2d93",
-      "bytes": 285720,
-      "rows": 85,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/deepseek-000394-0000-1a263151d994ecbe.parquet",
-      "sha256": "1a263151d994ecbeb310d3b78427c23ef9d19bee80cf1cf20a3002373e09361e",
-      "bytes": 63962,
-      "rows": 11,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000394-0000-89e69fccc3268f07.parquet",
-      "sha256": "89e69fccc3268f07120ee4e24e6f4451e17263a665ef6fa8e18d4423798e8886",
-      "bytes": 57970,
-      "rows": 12,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19744",
     "deepseek:thm_19745",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019747.lean\",\"25a35ec61c0a56291b98902b5846663e19ec58adbcd36fd6e25f2f6dfd179a06\",0,\"thm_19791\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019748.lean\",\"565f3569eaf2e961aaa40ff2f6276ed8bf3b99b8480b2257101a583246f5143c\",0,\"thm_19792\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019749.lean\",\"0e585c7d05ad4e7d797cee59fe209c55fa9c937a3e57b5dde05cf4166243d0dc\",0,\"thm_19793\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285720,
+      "path": "data/train/p7f/deepseek-000394-0000-fe41c0f4561d4592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "fe41c0f4561d4592d37ce1e5283bc7f9bafde5b9e49e49d94ae3b43e651a2d93"
+    },
+    {
+      "bytes": 63962,
+      "path": "data/dev/p7f/deepseek-000394-0000-1a263151d994ecbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1a263151d994ecbeb310d3b78427c23ef9d19bee80cf1cf20a3002373e09361e"
+    },
+    {
+      "bytes": 57970,
+      "path": "data/internal_test/p7f/deepseek-000394-0000-89e69fccc3268f07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "89e69fccc3268f07120ee4e24e6f4451e17263a665ef6fa8e18d4423798e8886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000395.json b/manifests/batches/deepseek/000395.json
index d644f15f0a2eafc6028c99dde98d479778fbaa37..5c79d100e6d03e4cd1fdc9823d655a961c3bd12e 100644
--- a/manifests/batches/deepseek/000395.json
+++ b/manifests/batches/deepseek/000395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000395",
   "batch_fingerprint": "233a26ebea31141d4a28b9aa7b917b74839e09482f9508d7c78ad06a13f20166",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000395-0000-b9234ddebd98843e.parquet",
-      "sha256": "b9234ddebd98843eca79b98ff2f35a37d575d50d2f63b474bd0d7185fc69c4f2",
-      "bytes": 383302,
-      "rows": 118,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/deepseek-000395-0000-0e6c7795e306a065.parquet",
-      "sha256": "0e6c7795e306a0652940edbe7c90f720970b3f00be15c365c8831ff6ef21871e",
-      "bytes": 36982,
-      "rows": 5,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000395-0000-4c70992caa3e5513.parquet",
-      "sha256": "4c70992caa3e5513de44d2cdbe40199b71e306484b94058ca57f14359b3f75ee",
-      "bytes": 34134,
-      "rows": 5,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19794",
     "deepseek:thm_19795",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019797.lean\",\"5ed8a90a200e3a35af1ba45ee7cb8dc9ec4203a8076d8d5888999c01896329e6\",0,\"thm_19841\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019798.lean\",\"2782ec9af917735a2c3496e905fe1058f552faf26e47f6d4fff43f7a1e3e0745\",0,\"thm_19842\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019799.lean\",\"472f233792729306f9c66c0e1fdbba0f0930912cfea31a315fef3a01b2af2729\",0,\"thm_19843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383302,
+      "path": "data/train/p02/deepseek-000395-0000-b9234ddebd98843e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 118,
+      "sha256": "b9234ddebd98843eca79b98ff2f35a37d575d50d2f63b474bd0d7185fc69c4f2"
+    },
+    {
+      "bytes": 36982,
+      "path": "data/dev/p02/deepseek-000395-0000-0e6c7795e306a065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0e6c7795e306a0652940edbe7c90f720970b3f00be15c365c8831ff6ef21871e"
+    },
+    {
+      "bytes": 34134,
+      "path": "data/internal_test/p02/deepseek-000395-0000-4c70992caa3e5513.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4c70992caa3e5513de44d2cdbe40199b71e306484b94058ca57f14359b3f75ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000396.json b/manifests/batches/deepseek/000396.json
index 3742297e48df54886d30b6643875ce46e1f99818..c655e2db6b95649216f9281befe55eca94986416 100644
--- a/manifests/batches/deepseek/000396.json
+++ b/manifests/batches/deepseek/000396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000396",
   "batch_fingerprint": "d4c4c6f5f82b9a2ad8a7ddee84fa11139285dbf090402f6baa2c43695496aedd",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000396-0000-db689253dc49ed82.parquet",
-      "sha256": "db689253dc49ed821a264d9a653e6583791d07cd5dd420d2f09262c37126a3c0",
-      "bytes": 260514,
-      "rows": 92,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
-    },
-    {
-      "path": "data/dev/deepseek-000396-0000-685ac4199261a6ab.parquet",
-      "sha256": "685ac4199261a6abb32fb72eeb1d2a481d3fef7219095fc82fc3af5bd3ff79fa",
-      "bytes": 66015,
-      "rows": 12,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
-    },
-    {
-      "path": "data/internal_test/deepseek-000396-0000-e399b25d38a97b7f.parquet",
-      "sha256": "e399b25d38a97b7f5784b7aedca6bd075587fa0db51baed9e384a3a5a9c61355",
-      "bytes": 62585,
-      "rows": 11,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19844",
     "deepseek:thm_19845",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019847.lean\",\"509daab4264217d5a0bf8b7344c5c187574ad2ce4678fd8d423c34d5a74ab65f\",0,\"thm_19891\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019848.lean\",\"d9ce3bd6f79a4d0aca71f54e831398d52c58b8b92aa759579161f47cd307ab7b\",0,\"thm_19892\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019849.lean\",\"b2eb0628e882e7f29540de779ab6bf68572c0eb667fca9d4a7bc2f98f1a0e73c\",0,\"thm_19893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260514,
+      "path": "data/train/p61/deepseek-000396-0000-db689253dc49ed82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "db689253dc49ed821a264d9a653e6583791d07cd5dd420d2f09262c37126a3c0"
+    },
+    {
+      "bytes": 66015,
+      "path": "data/dev/p61/deepseek-000396-0000-685ac4199261a6ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "685ac4199261a6abb32fb72eeb1d2a481d3fef7219095fc82fc3af5bd3ff79fa"
+    },
+    {
+      "bytes": 62585,
+      "path": "data/internal_test/p61/deepseek-000396-0000-e399b25d38a97b7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e399b25d38a97b7f5784b7aedca6bd075587fa0db51baed9e384a3a5a9c61355"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000397.json b/manifests/batches/deepseek/000397.json
index 32dfcc5487b1dc388bf6aa02974c5a27ed489ac5..4defb40aa809ca1d83b3920bc8a22a990679e4de 100644
--- a/manifests/batches/deepseek/000397.json
+++ b/manifests/batches/deepseek/000397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000397",
   "batch_fingerprint": "839bbf5ed38585b0f0d77ae219dbb482ce2ae558e92baf3c02988fe26db0bea4",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000397-0000-e0c6c756e71007af.parquet",
-      "sha256": "e0c6c756e71007affa04c38b26e8856c728da71da759e61a5c4a7f4c6b731736",
-      "bytes": 307044,
-      "rows": 90,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    },
-    {
-      "path": "data/dev/deepseek-000397-0000-0701e0fcff6a3ee3.parquet",
-      "sha256": "0701e0fcff6a3ee30d1120ed4dda25381f908dc86d40aa8d0c8993d0743078a8",
-      "bytes": 48010,
-      "rows": 4,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000397-0000-14b1162f0ff9ab54.parquet",
-      "sha256": "14b1162f0ff9ab54be7f0b5e5263c23ee198e8ce818fa9551d093ffc1c2501f0",
-      "bytes": 38440,
-      "rows": 4,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19894",
     "deepseek:thm_19895",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019897.lean\",\"036a50ab4ffb6009d22ad49f413fa65e021411f557888065863f0c65a08b32a2\",0,\"thm_19941\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019898.lean\",\"e1ab3c5e41e8e86a3fcfcfc013ecedc335d22c2990fa55e34ac82c9d4cf62f0c\",0,\"thm_19942\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019899.lean\",\"23b44918dbc441de3f37f3e0f8fc6b84fb8a9544d323198310bb878eae7a8c32\",0,\"thm_19943\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307044,
+      "path": "data/train/pf8/deepseek-000397-0000-e0c6c756e71007af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "e0c6c756e71007affa04c38b26e8856c728da71da759e61a5c4a7f4c6b731736"
+    },
+    {
+      "bytes": 48010,
+      "path": "data/dev/pf8/deepseek-000397-0000-0701e0fcff6a3ee3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0701e0fcff6a3ee30d1120ed4dda25381f908dc86d40aa8d0c8993d0743078a8"
+    },
+    {
+      "bytes": 38440,
+      "path": "data/internal_test/pf8/deepseek-000397-0000-14b1162f0ff9ab54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "14b1162f0ff9ab54be7f0b5e5263c23ee198e8ce818fa9551d093ffc1c2501f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000398.json b/manifests/batches/deepseek/000398.json
index e226c170620756f40e49070cdcd99f1914323766..39f7be7825751981dc1da8d0a4d474fb00512dba 100644
--- a/manifests/batches/deepseek/000398.json
+++ b/manifests/batches/deepseek/000398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000398",
   "batch_fingerprint": "b569bada4261de2823cd4741b07ae99e31581984a106847171e8be4f4ee59577",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000398-0000-0aa0f87a1174a3eb.parquet",
-      "sha256": "0aa0f87a1174a3eb351932d150c33eb30794e208b4c7b308c08ce9d3d29426e1",
-      "bytes": 361764,
-      "rows": 120,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/deepseek-000398-0000-bb527f3df3053e3e.parquet",
-      "sha256": "bb527f3df3053e3ee5c8d7453db19f5353f09a18e589ea3984d1637c22325756",
-      "bytes": 32938,
-      "rows": 2,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000398-0000-8b52f4c874ebf5f4.parquet",
-      "sha256": "8b52f4c874ebf5f41ed97f845da9be027ac21c2e2fd00347c7381f1f4edd13c0",
-      "bytes": 40027,
-      "rows": 5,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19944",
     "deepseek:thm_19945",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019947.lean\",\"1ac34c075d4474ecc350eb52bede0d2f41f84615ec07c74e46675b306496e878\",0,\"thm_19991\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019948.lean\",\"114e40b00bb6f63f00c2014c766036707574368872a3437e84cadf40dceb1469\",0,\"thm_19992\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019949.lean\",\"846e1b43d0e5f3460d3708ae81b8bd4cfefe3fdc848909322dbcff1338c8fe60\",0,\"thm_19993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361764,
+      "path": "data/train/p45/deepseek-000398-0000-0aa0f87a1174a3eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 120,
+      "sha256": "0aa0f87a1174a3eb351932d150c33eb30794e208b4c7b308c08ce9d3d29426e1"
+    },
+    {
+      "bytes": 32938,
+      "path": "data/dev/p45/deepseek-000398-0000-bb527f3df3053e3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bb527f3df3053e3ee5c8d7453db19f5353f09a18e589ea3984d1637c22325756"
+    },
+    {
+      "bytes": 40027,
+      "path": "data/internal_test/p45/deepseek-000398-0000-8b52f4c874ebf5f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8b52f4c874ebf5f41ed97f845da9be027ac21c2e2fd00347c7381f1f4edd13c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000399.json b/manifests/batches/deepseek/000399.json
index 318220cc0535d6993fec1ce4965464551bb6d4e7..4372ff024c0e81d2b3b7894ca83706afe36ace02 100644
--- a/manifests/batches/deepseek/000399.json
+++ b/manifests/batches/deepseek/000399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000399",
   "batch_fingerprint": "bec966f2f1328189884e7f50ed5566ace9a4fed81099221f9cfd2bbb3c7afca8",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000399-0000-0b3329fb2106d031.parquet",
-      "sha256": "0b3329fb2106d031b543c9800dea6b136fea14083252ad9f5d83b831fa935e81",
-      "bytes": 336864,
-      "rows": 106,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    },
-    {
-      "path": "data/dev/deepseek-000399-0000-0e5ddbef77f44206.parquet",
-      "sha256": "0e5ddbef77f44206307d99802aec89a27ea155de1c8ad4fcf457a70b88ba3388",
-      "bytes": 34016,
-      "rows": 1,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000399-0000-5c1d6a27f4eea12c.parquet",
-      "sha256": "5c1d6a27f4eea12c023e6e3dd0e446cb9e3eb2cd59e320e9fd58aecf290096cf",
-      "bytes": 77467,
-      "rows": 17,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_19994",
     "deepseek:thm_19995",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019997.lean\",\"cbfc97aede4820e3fa02e7bc64e63e7b969160577c0a777b47b1460d2a3c74f4\",0,\"thm_20041\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019998.lean\",\"39954875f3aed5351ef6e6c27468422bb190671a9cd284077bb0616867790620\",0,\"thm_20042\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_019999.lean\",\"7b1588b8ddbe244a28321f3b31a0e2b972ac9aa08ddea6b907d0e0429a39d386\",0,\"thm_20043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336864,
+      "path": "data/train/p0a/deepseek-000399-0000-0b3329fb2106d031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "0b3329fb2106d031b543c9800dea6b136fea14083252ad9f5d83b831fa935e81"
+    },
+    {
+      "bytes": 34016,
+      "path": "data/dev/p0a/deepseek-000399-0000-0e5ddbef77f44206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e5ddbef77f44206307d99802aec89a27ea155de1c8ad4fcf457a70b88ba3388"
+    },
+    {
+      "bytes": 77467,
+      "path": "data/internal_test/p0a/deepseek-000399-0000-5c1d6a27f4eea12c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5c1d6a27f4eea12c023e6e3dd0e446cb9e3eb2cd59e320e9fd58aecf290096cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000400.json b/manifests/batches/deepseek/000400.json
index b576973bf8f8bf6dbcef9c850e81bc1ddd56c748..bd9e06e7763454dc392a602fb695f61e48373092 100644
--- a/manifests/batches/deepseek/000400.json
+++ b/manifests/batches/deepseek/000400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000400",
   "batch_fingerprint": "b989e9cd9695052bccc14fd0774702e1cbdaeb7e6ef98316e28d146aad98baa5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000400-0000-6c8606da5ad2c7d5.parquet",
-      "sha256": "6c8606da5ad2c7d59d04cfb020b37a3ea5e8f1bd157a2e7d1aeaa39c8cb3e7f7",
-      "bytes": 323389,
-      "rows": 98,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/deepseek-000400-0000-0d7cb4aef9e033c7.parquet",
-      "sha256": "0d7cb4aef9e033c7ca551bbef9e267037403ad0a3ae276f48dfbff6d626057f4",
-      "bytes": 47159,
-      "rows": 6,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000400-0000-575cc57282d3a03b.parquet",
-      "sha256": "575cc57282d3a03bf55db51ce5c5cd03b790122b93c3cee96e782b45bc354e01",
-      "bytes": 61687,
-      "rows": 17,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20044",
     "deepseek:thm_20045",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020047.lean\",\"056d1c1d6f95d3d88de8937cf3a215e626181b86a3324de743e4af1303c11a84\",0,\"thm_20091\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020048.lean\",\"8696f941dfaa48b0197926ceb8198f973f6f687dc71fc3a11ae550b5e10048bc\",0,\"thm_20092\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020049.lean\",\"a34a1a592a70668cad632eb4ce0d921d917b924274292a59a44449871863efaa\",0,\"thm_20093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323389,
+      "path": "data/train/p59/deepseek-000400-0000-6c8606da5ad2c7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "6c8606da5ad2c7d59d04cfb020b37a3ea5e8f1bd157a2e7d1aeaa39c8cb3e7f7"
+    },
+    {
+      "bytes": 47159,
+      "path": "data/dev/p59/deepseek-000400-0000-0d7cb4aef9e033c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0d7cb4aef9e033c7ca551bbef9e267037403ad0a3ae276f48dfbff6d626057f4"
+    },
+    {
+      "bytes": 61687,
+      "path": "data/internal_test/p59/deepseek-000400-0000-575cc57282d3a03b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "575cc57282d3a03bf55db51ce5c5cd03b790122b93c3cee96e782b45bc354e01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000401.json b/manifests/batches/deepseek/000401.json
index 1ee9febef9b64be74c952e0b667f05f71a51acc6..bedce672e00bc1a42f117403c131a725bd5dc187 100644
--- a/manifests/batches/deepseek/000401.json
+++ b/manifests/batches/deepseek/000401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000401",
   "batch_fingerprint": "893cdf91df1b5c1ecd2c56b2a40f45a52c901dd47808b35732a8e8caaf4111fd",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000401-0000-c5562fac9ddbbe95.parquet",
-      "sha256": "c5562fac9ddbbe95d64441e80ebe08d5a2912f615703c8a20ed409503b77e78f",
-      "bytes": 351988,
-      "rows": 101,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/deepseek-000401-0000-381d04af15f23c30.parquet",
-      "sha256": "381d04af15f23c303351f04731b609f16ffb6dfc57a452fbede3ca2374ca4f34",
-      "bytes": 51682,
-      "rows": 14,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000401-0000-50f3e0947de3f6fb.parquet",
-      "sha256": "50f3e0947de3f6fb756ef1d8c56e9446e9407c14749f20441d8a9b17c4dc11ac",
-      "bytes": 29304,
-      "rows": 2,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20094",
     "deepseek:thm_20095",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020097.lean\",\"e615ce7f6eb1ce7e156782c54c8fbcb9c0340f3edc794ad8bed0dfaab73b7bfb\",0,\"thm_20141\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020098.lean\",\"83aa5d5ddd3ce5eb72a8db5d0d0b4f9561325bad315a9117d02a6f351c0f414c\",0,\"thm_20142\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020099.lean\",\"8a0948b26a49988bbc209e9109994e0dccadc01d1409802d895e1edfe2ede343\",0,\"thm_20143\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351988,
+      "path": "data/train/pbe/deepseek-000401-0000-c5562fac9ddbbe95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "c5562fac9ddbbe95d64441e80ebe08d5a2912f615703c8a20ed409503b77e78f"
+    },
+    {
+      "bytes": 51682,
+      "path": "data/dev/pbe/deepseek-000401-0000-381d04af15f23c30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "381d04af15f23c303351f04731b609f16ffb6dfc57a452fbede3ca2374ca4f34"
+    },
+    {
+      "bytes": 29304,
+      "path": "data/internal_test/pbe/deepseek-000401-0000-50f3e0947de3f6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "50f3e0947de3f6fb756ef1d8c56e9446e9407c14749f20441d8a9b17c4dc11ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000402.json b/manifests/batches/deepseek/000402.json
index 5f759f8b87b2ff0299614a1fd1b4ea8155f5dfd3..89e3b2f9ac5ddfc2ef58aa008e6905e8e6b84f95 100644
--- a/manifests/batches/deepseek/000402.json
+++ b/manifests/batches/deepseek/000402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000402",
   "batch_fingerprint": "9132fbf7fdf2e670c1cf36421733a4851ab8f959ec87ab9a8301c70f99881350",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000402-0000-1b1106468850d9cc.parquet",
-      "sha256": "1b1106468850d9cc621737341abea7285d8b4876996643a3d7d9fb6c4df67d7d",
-      "bytes": 311537,
-      "rows": 107,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000402-0000-20064e2f48296059.parquet",
-      "sha256": "20064e2f48296059b37d9b7cc3fefab67ed12ad766ed3c834d9a353f5f333736",
-      "bytes": 44316,
-      "rows": 9,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000402-0000-8864554d4c39b59c.parquet",
-      "sha256": "8864554d4c39b59cc9023d39141773e6775192eae5af413b97f72aa0c0621c3c",
-      "bytes": 45506,
-      "rows": 9,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20144",
     "deepseek:thm_20145",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020147.lean\",\"cb41aa74944d256c675182a7f8a87286ee8b68b46aae117ee2e451e01e19318f\",0,\"thm_20191\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020148.lean\",\"d5c7186d91316be00a8da4066dc4697248fcf3975f44db6fbe25356461da6fdb\",0,\"thm_20192\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020149.lean\",\"dd151567200b158a342c608e47b8d2efcd773d5ba8089ce4e3278f225696cc2f\",0,\"thm_20193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311537,
+      "path": "data/train/p24/deepseek-000402-0000-1b1106468850d9cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "1b1106468850d9cc621737341abea7285d8b4876996643a3d7d9fb6c4df67d7d"
+    },
+    {
+      "bytes": 44316,
+      "path": "data/dev/p24/deepseek-000402-0000-20064e2f48296059.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "20064e2f48296059b37d9b7cc3fefab67ed12ad766ed3c834d9a353f5f333736"
+    },
+    {
+      "bytes": 45506,
+      "path": "data/internal_test/p24/deepseek-000402-0000-8864554d4c39b59c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8864554d4c39b59cc9023d39141773e6775192eae5af413b97f72aa0c0621c3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000403.json b/manifests/batches/deepseek/000403.json
index 167b244430a044476be0ca5cc89fa0e0df262052..16000e7c771cbf742400caf8ec58e71dfa9fdbda 100644
--- a/manifests/batches/deepseek/000403.json
+++ b/manifests/batches/deepseek/000403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000403",
   "batch_fingerprint": "bd2a842c136c5217867c86ac5540d39e13c7b3a38f2b08bd2ce99a24bf5519d0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000403-0000-8869cedd0147213c.parquet",
-      "sha256": "8869cedd0147213c004d5b40ed1d38869c25b40fde65674811cf04d759514517",
-      "bytes": 374293,
-      "rows": 122,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000403-0000-aca35d293d4c6345.parquet",
-      "sha256": "aca35d293d4c6345483db74f1ff5c3d09fb0588dfd9671b27300b0bc98db1a38",
-      "bytes": 59579,
-      "rows": 6,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000403-0000-7bee22f524707ada.parquet",
-      "sha256": "7bee22f524707ada34d6f3e0abb14f5c3265c46efb8457da710720df99e3f79e",
-      "bytes": 31514,
-      "rows": 3,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20194",
     "deepseek:thm_20195",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020197.lean\",\"ebd11ca008b98251f16573e06f72768012d078edca101a359da04a9a34d950e9\",0,\"thm_20241\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020198.lean\",\"f2e49f5168b1dc9ae47ccf058098297bf069a32c4beed97c2ef3ccd2610ffac3\",0,\"thm_20242\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020199.lean\",\"94aaf48137af64d8745a1b700d06510adae2ed8734d04880ce347f3a9d58a4fe\",0,\"thm_20243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374293,
+      "path": "data/train/p0b/deepseek-000403-0000-8869cedd0147213c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "8869cedd0147213c004d5b40ed1d38869c25b40fde65674811cf04d759514517"
+    },
+    {
+      "bytes": 59579,
+      "path": "data/dev/p0b/deepseek-000403-0000-aca35d293d4c6345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aca35d293d4c6345483db74f1ff5c3d09fb0588dfd9671b27300b0bc98db1a38"
+    },
+    {
+      "bytes": 31514,
+      "path": "data/internal_test/p0b/deepseek-000403-0000-7bee22f524707ada.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7bee22f524707ada34d6f3e0abb14f5c3265c46efb8457da710720df99e3f79e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000404.json b/manifests/batches/deepseek/000404.json
index a430200af56d442220c1ee2f82d63ec0a62bc4be..6614e7f875b98ded47e9bffd1eaf3f9611d8ac7a 100644
--- a/manifests/batches/deepseek/000404.json
+++ b/manifests/batches/deepseek/000404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000404",
   "batch_fingerprint": "6a62d875a237bd27c64b66510fe77d102b05bad9fba66367935a39263eca6b75",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000404-0000-3553f82be37ad208.parquet",
-      "sha256": "3553f82be37ad208549513621c8d9d1442702cd6d70cb30ffe940b6fc02ecbc0",
-      "bytes": 315986,
-      "rows": 94,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000404-0000-e55e38721905ec16.parquet",
-      "sha256": "e55e38721905ec164f84f8323355bace8391f2312b5b9752cad3dde2d779f842",
-      "bytes": 53291,
-      "rows": 11,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000404-0000-9b627b039db628c0.parquet",
-      "sha256": "9b627b039db628c04ec92af3207a1402aff982742cfb523b0927689a1e3230fe",
-      "bytes": 67895,
-      "rows": 8,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20244",
     "deepseek:thm_20245",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020247.lean\",\"74ff0e2084aa4a3dbc687d94d4d148e18b3593209918361ea6d59dc3742ae7ad\",0,\"thm_20291\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020248.lean\",\"63ff954304ba90131ad0cb5491c3421ba10cdd6a326b6bfdce9079e536572cf1\",0,\"thm_20292\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020249.lean\",\"bc8fedbe14f954b071895f620a506e2ffc96dc9e0089a72c9452d57506cf6f12\",0,\"thm_20293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315986,
+      "path": "data/train/p50/deepseek-000404-0000-3553f82be37ad208.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "3553f82be37ad208549513621c8d9d1442702cd6d70cb30ffe940b6fc02ecbc0"
+    },
+    {
+      "bytes": 53291,
+      "path": "data/dev/p50/deepseek-000404-0000-e55e38721905ec16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e55e38721905ec164f84f8323355bace8391f2312b5b9752cad3dde2d779f842"
+    },
+    {
+      "bytes": 67895,
+      "path": "data/internal_test/p50/deepseek-000404-0000-9b627b039db628c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9b627b039db628c04ec92af3207a1402aff982742cfb523b0927689a1e3230fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000405.json b/manifests/batches/deepseek/000405.json
index faab13a992b5bc948d87b8f295de306ea30a1367..a1a22ac0f79f994ee1bfee14e0128e658d8a934c 100644
--- a/manifests/batches/deepseek/000405.json
+++ b/manifests/batches/deepseek/000405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000405",
   "batch_fingerprint": "abd976bb77c5f0b781060d675d78b252450147c2136c51899cf8437cd2aa8383",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000405-0000-08fdbe832aa1c792.parquet",
-      "sha256": "08fdbe832aa1c792710f8fb80a110c2e625b9c3a09097e3dc929e5cd0cc5c9b4",
-      "bytes": 349281,
-      "rows": 103,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000405-0000-c042a44b1b00453a.parquet",
-      "sha256": "c042a44b1b00453a4a66b85a287b72f83b6b87b6cd1242b827f2709715361299",
-      "bytes": 40990,
-      "rows": 2,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000405-0000-160ac2ce1515bf46.parquet",
-      "sha256": "160ac2ce1515bf46cda9b1d3ccc9dd55f62a86742e33a14a5e72014fce8a97ea",
-      "bytes": 32735,
-      "rows": 3,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20294",
     "deepseek:thm_20295",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020297.lean\",\"6bab68541b3950462a100f510b7499e8e23070f11e7be6d160ea6febcbce54a7\",0,\"thm_20341\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020298.lean\",\"ca8fa43ecdecfcd990c96c66d5b46afc654aa7bb0dbb182c6d513274262bdbdd\",0,\"thm_20342\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020299.lean\",\"e42c54cce32828a2c1999a6326066193ff3ace590aa2030508b0b8d275c6b28c\",0,\"thm_20343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349281,
+      "path": "data/train/p7f/deepseek-000405-0000-08fdbe832aa1c792.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "08fdbe832aa1c792710f8fb80a110c2e625b9c3a09097e3dc929e5cd0cc5c9b4"
+    },
+    {
+      "bytes": 40990,
+      "path": "data/dev/p7f/deepseek-000405-0000-c042a44b1b00453a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c042a44b1b00453a4a66b85a287b72f83b6b87b6cd1242b827f2709715361299"
+    },
+    {
+      "bytes": 32735,
+      "path": "data/internal_test/p7f/deepseek-000405-0000-160ac2ce1515bf46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "160ac2ce1515bf46cda9b1d3ccc9dd55f62a86742e33a14a5e72014fce8a97ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000406.json b/manifests/batches/deepseek/000406.json
index 4f9ce23ce89790d1e5aa7c9af28120e92a330f28..1fb56b66740b33e549418c7b7d853bacb77359c7 100644
--- a/manifests/batches/deepseek/000406.json
+++ b/manifests/batches/deepseek/000406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000406",
   "batch_fingerprint": "6775545a1b325fcded2f17193bdf0006949365259aa23720419f5a29a8177d95",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000406-0000-89e9695cc4e6298f.parquet",
-      "sha256": "89e9695cc4e6298faafa33c06f04f3bb223b0e0d2eb670c1a942f4e42e4362ad",
-      "bytes": 296950,
-      "rows": 93,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000406-0000-4ecb42fc09d7c758.parquet",
-      "sha256": "4ecb42fc09d7c75894694f6f541d3a9ce6c584516cc440a99760f21861032be9",
-      "bytes": 38775,
-      "rows": 8,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000406-0000-af26496fa67cf14f.parquet",
-      "sha256": "af26496fa67cf14f23df928a36f70baa0d692f418945a9a39f081f413054ba31",
-      "bytes": 51946,
-      "rows": 12,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20344",
     "deepseek:thm_20345",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020347.lean\",\"592d0fd56dad4b4ea6884d6df641994615822f18d2c800c237be42adf622f456\",0,\"thm_20391\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020348.lean\",\"a95de968529cd29f60ee9f7f511de9f6c7f5b46bba76f569d8cf55550c741a18\",0,\"thm_20392\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020349.lean\",\"e86e8668bf0eab2620c6c0acec5acb5a2c4b6eb5940eac7fe677f14f6dc8733b\",0,\"thm_20393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296950,
+      "path": "data/train/pc2/deepseek-000406-0000-89e9695cc4e6298f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "89e9695cc4e6298faafa33c06f04f3bb223b0e0d2eb670c1a942f4e42e4362ad"
+    },
+    {
+      "bytes": 38775,
+      "path": "data/dev/pc2/deepseek-000406-0000-4ecb42fc09d7c758.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4ecb42fc09d7c75894694f6f541d3a9ce6c584516cc440a99760f21861032be9"
+    },
+    {
+      "bytes": 51946,
+      "path": "data/internal_test/pc2/deepseek-000406-0000-af26496fa67cf14f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "af26496fa67cf14f23df928a36f70baa0d692f418945a9a39f081f413054ba31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000407.json b/manifests/batches/deepseek/000407.json
index ccc6d0e95e7fda009b3561e2a359a3fd5230fbac..971e0d6ea8ff395f8d7864947cb501e93441c049 100644
--- a/manifests/batches/deepseek/000407.json
+++ b/manifests/batches/deepseek/000407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000407",
   "batch_fingerprint": "5f700a41380ec7ff1a904c614125ff382a140ec202bb7465d771f9fdb20af101",
   "evidence": {
@@ -57,22 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000407-0000-9524c0d2b0b2a854.parquet",
-      "sha256": "9524c0d2b0b2a854db2a6f1bf0c3f725a45054d5e2e054f941e6954f13456229",
-      "bytes": 322153,
-      "rows": 100,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000407-0000-d62318e374a0a497.parquet",
-      "sha256": "d62318e374a0a49719c65c0adeec727b62393ea98714ac8c5c7d3ca409e318f7",
-      "bytes": 50085,
-      "rows": 13,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20394",
     "deepseek:thm_20395",
@@ -172,5 +156,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020397.lean\",\"5cc594f662d6747c23fb3e9c4258b33f67c934e4cb35555671982f8bb517e4c1\",0,\"thm_20441\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020398.lean\",\"19f5f4c110d1d282d6167a3755716e64f7dda05ef8f08ca900e50b7265fede67\",0,\"thm_20442\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020399.lean\",\"1332b864dcf58278ad579b21e66c83f13b3989cdfcc7e5af3b61f69a63a406c6\",0,\"thm_20443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322153,
+      "path": "data/train/p8a/deepseek-000407-0000-9524c0d2b0b2a854.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "9524c0d2b0b2a854db2a6f1bf0c3f725a45054d5e2e054f941e6954f13456229"
+    },
+    {
+      "bytes": 50085,
+      "path": "data/internal_test/p8a/deepseek-000407-0000-d62318e374a0a497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d62318e374a0a49719c65c0adeec727b62393ea98714ac8c5c7d3ca409e318f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000408.json b/manifests/batches/deepseek/000408.json
index 78814124862d5f6d6c3917752f62bcaac9606a46..cba3f16efdbb53af18ad507ddd8d245d8cbaa03a 100644
--- a/manifests/batches/deepseek/000408.json
+++ b/manifests/batches/deepseek/000408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000408",
   "batch_fingerprint": "e205b396023e67e099f7513f699f5d6ac7fb99121b58100bd2fd64b95d5bdece",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000408-0000-553fee77f385f0f3.parquet",
-      "sha256": "553fee77f385f0f3d55ab1f32e2f34868baf7c2c1045bcdd22549b033ead2724",
-      "bytes": 291882,
-      "rows": 91,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/dev/deepseek-000408-0000-2a0cf18bb61f283d.parquet",
-      "sha256": "2a0cf18bb61f283d0d501ef5ac2cecbec44660453539c17fd801c510ae9ecf14",
-      "bytes": 45946,
-      "rows": 11,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/internal_test/deepseek-000408-0000-a9c61f2b854a64c5.parquet",
-      "sha256": "a9c61f2b854a64c59a6e90db41de77952d43ab99296727e708bf53230c292671",
-      "bytes": 57133,
-      "rows": 12,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20444",
     "deepseek:thm_20445",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020447.lean\",\"44d8141f3f6f723321d910092ac6c19093b4403532324b9df692911a06cc75ea\",0,\"thm_20491\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020448.lean\",\"568d7b0745dc74f118cb04cb44d5876845c9d57420d10044810a66e37473a44b\",0,\"thm_20492\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020449.lean\",\"54fd3573781aad059bf50c4b21a84f24a4541aacf2dc59ba65d72b442e0e2ae3\",0,\"thm_20493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291882,
+      "path": "data/train/pea/deepseek-000408-0000-553fee77f385f0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "553fee77f385f0f3d55ab1f32e2f34868baf7c2c1045bcdd22549b033ead2724"
+    },
+    {
+      "bytes": 45946,
+      "path": "data/dev/pea/deepseek-000408-0000-2a0cf18bb61f283d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2a0cf18bb61f283d0d501ef5ac2cecbec44660453539c17fd801c510ae9ecf14"
+    },
+    {
+      "bytes": 57133,
+      "path": "data/internal_test/pea/deepseek-000408-0000-a9c61f2b854a64c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a9c61f2b854a64c59a6e90db41de77952d43ab99296727e708bf53230c292671"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000409.json b/manifests/batches/deepseek/000409.json
index 2e8e00151edf58183ecee47e8bb0999bb881cf4e..f3362b593f3f544ea40c5d4d242bccf4f254ea08 100644
--- a/manifests/batches/deepseek/000409.json
+++ b/manifests/batches/deepseek/000409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000409",
   "batch_fingerprint": "df0000fd94600de03baf04255cb0dc78e1784c19b2a519ea1551f6a93533e637",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000409-0000-8ec6367d50296ef7.parquet",
-      "sha256": "8ec6367d50296ef73375d822fd7643affba18d0447f26bc3841b8b27f83e8047",
-      "bytes": 256251,
-      "rows": 81,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/deepseek-000409-0000-ab8ff6daf266f775.parquet",
-      "sha256": "ab8ff6daf266f775e4a6c7e4d89f874cb2cd28f5d9d8a664d6418fc5c68ad737",
-      "bytes": 62594,
-      "rows": 10,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/deepseek-000409-0000-af65246839e9af73.parquet",
-      "sha256": "af65246839e9af731cc50f94bbc20c2b5e50ea11533c4721757f147b7cb099ba",
-      "bytes": 79037,
-      "rows": 19,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20494",
     "deepseek:thm_20495",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020497.lean\",\"28cbd92eb203eee9053d9ac8312243b5625fcb5400671997066696f3fa2a549c\",0,\"thm_20541\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020498.lean\",\"4de5a7b596749c44fa90aec6bbffd602fe3c1703abda3869399e3a52395537a0\",0,\"thm_20542\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020499.lean\",\"f279c2a492827feaa2495a507263d33d30ac16481b42d5939fa243352bd6d1f0\",0,\"thm_20543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256251,
+      "path": "data/train/pe4/deepseek-000409-0000-8ec6367d50296ef7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "8ec6367d50296ef73375d822fd7643affba18d0447f26bc3841b8b27f83e8047"
+    },
+    {
+      "bytes": 62594,
+      "path": "data/dev/pe4/deepseek-000409-0000-ab8ff6daf266f775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ab8ff6daf266f775e4a6c7e4d89f874cb2cd28f5d9d8a664d6418fc5c68ad737"
+    },
+    {
+      "bytes": 79037,
+      "path": "data/internal_test/pe4/deepseek-000409-0000-af65246839e9af73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "af65246839e9af731cc50f94bbc20c2b5e50ea11533c4721757f147b7cb099ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000410.json b/manifests/batches/deepseek/000410.json
index a1f26774e935d6e50ccb7616705fa34d535201eb..0cb5dcdbed5e3aac376c00d9dbd3396c11a1d0f9 100644
--- a/manifests/batches/deepseek/000410.json
+++ b/manifests/batches/deepseek/000410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000410",
   "batch_fingerprint": "418879b8f51d76f3d06cd00c13ebff084dd490b8926528356a92a4a0ddbd1599",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000410-0000-a29cc3b7b074a0ee.parquet",
-      "sha256": "a29cc3b7b074a0eef7602ce0a2eeabc200a81573f9f0a829f283604b072df531",
-      "bytes": 314924,
-      "rows": 99,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/dev/deepseek-000410-0000-c1df856d168238d7.parquet",
-      "sha256": "c1df856d168238d753dda27a5b03c0403b2e7d9a2307518a55d6135d0def1bad",
-      "bytes": 35067,
-      "rows": 2,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000410-0000-46ebde74a8f86136.parquet",
-      "sha256": "46ebde74a8f861360334e7c6b11fb999f04ac2218868e54a384caaa4ff89bbc6",
-      "bytes": 88999,
-      "rows": 17,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20544",
     "deepseek:thm_20545",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020547.lean\",\"6937c3cec97d50753313da02c1a84edf94d5a7928eef8b67cca0fa58fbb2bd60\",0,\"thm_20592\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020548.lean\",\"cc4e61038e4e321f1ef3c64afbc137f34fca0970ce6ef360b0a3ac47e8c8fe08\",0,\"thm_20593\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020549.lean\",\"d2c59a265a32faa79f6e9fe79c442fcfa00a154cded2a41b2d95115042ab1bc8\",0,\"thm_20594\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314924,
+      "path": "data/train/p58/deepseek-000410-0000-a29cc3b7b074a0ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "a29cc3b7b074a0eef7602ce0a2eeabc200a81573f9f0a829f283604b072df531"
+    },
+    {
+      "bytes": 35067,
+      "path": "data/dev/p58/deepseek-000410-0000-c1df856d168238d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c1df856d168238d753dda27a5b03c0403b2e7d9a2307518a55d6135d0def1bad"
+    },
+    {
+      "bytes": 88999,
+      "path": "data/internal_test/p58/deepseek-000410-0000-46ebde74a8f86136.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "46ebde74a8f861360334e7c6b11fb999f04ac2218868e54a384caaa4ff89bbc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000411.json b/manifests/batches/deepseek/000411.json
index f0e65f10158bfe1f9e18949be2f3e853612b3225..0ecc7f356b96896bd93a042d081d73791ffdd376 100644
--- a/manifests/batches/deepseek/000411.json
+++ b/manifests/batches/deepseek/000411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000411",
   "batch_fingerprint": "119c2de30ddc30486cbc3b50702209d90c7871e8a802eb252b952bf53c5e1db2",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000411-0000-53152222c9310d65.parquet",
-      "sha256": "53152222c9310d6599d9b017959ff313db29dacf639051b64cda2748a17ac5c3",
-      "bytes": 318377,
-      "rows": 100,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/dev/deepseek-000411-0000-f09d9445b8d91e18.parquet",
-      "sha256": "f09d9445b8d91e18f1456ac8f6968651af5c500fa3d4b7fb678398adf1ec94f3",
-      "bytes": 37393,
-      "rows": 4,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000411-0000-d24840ef67e3ee22.parquet",
-      "sha256": "d24840ef67e3ee2200aec6948f90f92df934c562e1a3c1127bed9c3ab2c4d05f",
-      "bytes": 49576,
-      "rows": 7,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20595",
     "deepseek:thm_20596",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020597.lean\",\"acfa7319bb984e43f9055cbf6169df06f894461223641e94683dabd8708cd397\",0,\"thm_20642\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020598.lean\",\"3c63023aa0b4e730305e3f9910221060875290fdbc5b7665b2efd3d4709938b2\",0,\"thm_20643\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020599.lean\",\"89da509e17532765ab5425187336e1dd28525e67cff801940b27783948b09d1b\",0,\"thm_20644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318377,
+      "path": "data/train/pb4/deepseek-000411-0000-53152222c9310d65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "53152222c9310d6599d9b017959ff313db29dacf639051b64cda2748a17ac5c3"
+    },
+    {
+      "bytes": 37393,
+      "path": "data/dev/pb4/deepseek-000411-0000-f09d9445b8d91e18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f09d9445b8d91e18f1456ac8f6968651af5c500fa3d4b7fb678398adf1ec94f3"
+    },
+    {
+      "bytes": 49576,
+      "path": "data/internal_test/pb4/deepseek-000411-0000-d24840ef67e3ee22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d24840ef67e3ee2200aec6948f90f92df934c562e1a3c1127bed9c3ab2c4d05f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000412.json b/manifests/batches/deepseek/000412.json
index 0d41e0f65cbfecf0a85a8fc251df5ef9a707abe7..d1895cd56e9a7da24457a6118d9291d3539f7702 100644
--- a/manifests/batches/deepseek/000412.json
+++ b/manifests/batches/deepseek/000412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000412",
   "batch_fingerprint": "6b6b478f456e6ceb17aae8f43be9b914941fb7f2b9510a603fbcb76cba8d935c",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000412-0000-0d6656f7e449c58d.parquet",
-      "sha256": "0d6656f7e449c58d34c2f7b948944cbe420b3ce450d82dc1a6c76bea86ef0214",
-      "bytes": 319454,
-      "rows": 112,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000412-0000-f9b50b1cd3d2fa78.parquet",
-      "sha256": "f9b50b1cd3d2fa78592688a731046f3a0a3d43659500759a2812f3f5ca0f1be9",
-      "bytes": 61879,
-      "rows": 14,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20645",
     "deepseek:thm_20646",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020647.lean\",\"5d2eb6d0afdf6a08ad21cd24e38f07b015cb97d9a75324764c18c47137d72894\",0,\"thm_20692\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020648.lean\",\"222ad668e66edf9560ec3e7492cf17cb5364d24171104625f388c8b2398c29f2\",0,\"thm_20693\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020649.lean\",\"1e88b5469fb5b3b6c7ba862512accdec9b9c87ec47649ba5fc5c72bcb1e1bc05\",0,\"thm_20694\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319454,
+      "path": "data/train/pa4/deepseek-000412-0000-0d6656f7e449c58d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "0d6656f7e449c58d34c2f7b948944cbe420b3ce450d82dc1a6c76bea86ef0214"
+    },
+    {
+      "bytes": 61879,
+      "path": "data/internal_test/pa4/deepseek-000412-0000-f9b50b1cd3d2fa78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f9b50b1cd3d2fa78592688a731046f3a0a3d43659500759a2812f3f5ca0f1be9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000413.json b/manifests/batches/deepseek/000413.json
index e512227bf6acc543386e0e74f169877cae7341ef..095e3e97456aeb92687f2354ec9541914a06fd33 100644
--- a/manifests/batches/deepseek/000413.json
+++ b/manifests/batches/deepseek/000413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000413",
   "batch_fingerprint": "b01cbb5d9c7cd4f084bc457964d02f634bdf5f0ad894ea4141324e79e39d0c9f",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000413-0000-cdf0717aef975846.parquet",
-      "sha256": "cdf0717aef975846671880cc4e2b49a7986d3d75875fb13b0e582325b2437a5d",
-      "bytes": 349235,
-      "rows": 108,
-      "revision": "66e0745f8e2bbab56375b24dbdd0368c085b3a09"
-    },
-    {
-      "path": "data/dev/deepseek-000413-0000-e848f7db6f87e8b3.parquet",
-      "sha256": "e848f7db6f87e8b3d17efe0780e4c361e731f7fd9a7424ce5955eacd710b0a01",
-      "bytes": 24212,
-      "rows": 2,
-      "revision": "66e0745f8e2bbab56375b24dbdd0368c085b3a09"
-    },
-    {
-      "path": "data/internal_test/deepseek-000413-0000-5396fd618f524e0f.parquet",
-      "sha256": "5396fd618f524e0f60c90e38304913d2b30feefa34fd5059c8f7759438ae72e4",
-      "bytes": 53253,
-      "rows": 9,
-      "revision": "66e0745f8e2bbab56375b24dbdd0368c085b3a09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20695",
     "deepseek:thm_20696",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020697.lean\",\"54f1054d25c59a33d9d711b140d15af3bb1944f4722fcc35d95be650478c6632\",0,\"thm_20742\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020698.lean\",\"f4857d735abd37beefad57db7d7499f9bb8539117518e4c6729de21c5acf7721\",0,\"thm_20743\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020699.lean\",\"3f19e82275da51af73e18432497015da87c033ffb37606aad3b4af5081d3e03d\",0,\"thm_20744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349235,
+      "path": "data/train/peb/deepseek-000413-0000-cdf0717aef975846.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "cdf0717aef975846671880cc4e2b49a7986d3d75875fb13b0e582325b2437a5d"
+    },
+    {
+      "bytes": 24212,
+      "path": "data/dev/peb/deepseek-000413-0000-e848f7db6f87e8b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e848f7db6f87e8b3d17efe0780e4c361e731f7fd9a7424ce5955eacd710b0a01"
+    },
+    {
+      "bytes": 53253,
+      "path": "data/internal_test/peb/deepseek-000413-0000-5396fd618f524e0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5396fd618f524e0f60c90e38304913d2b30feefa34fd5059c8f7759438ae72e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000414.json b/manifests/batches/deepseek/000414.json
index 51d31d06ac49e6c4b045b36c2eb9fad3699e2181..783b6bcf791abbfdebe1b4e85b7fdb48248bdf0a 100644
--- a/manifests/batches/deepseek/000414.json
+++ b/manifests/batches/deepseek/000414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000414",
   "batch_fingerprint": "f82bc875ea96a4b5b2fdcdecd756e8a35303a4a5669c8bad7a70dcaae82f8586",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000414-0000-5df42ce0a1d073db.parquet",
-      "sha256": "5df42ce0a1d073db0537867a990207ae0a13aa5d3046b00a53f2e47a03624f10",
-      "bytes": 288857,
-      "rows": 95,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/dev/deepseek-000414-0000-8fddf115309220ca.parquet",
-      "sha256": "8fddf115309220ca8da43af0969346f1843b1a4084b00fbbcdbb732c3d1b8bbd",
-      "bytes": 38289,
-      "rows": 4,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000414-0000-1189dc864d89bc20.parquet",
-      "sha256": "1189dc864d89bc2093f0723c4174cbad31b012fbb9cd33e43020b734dd170a88",
-      "bytes": 57283,
-      "rows": 14,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20745",
     "deepseek:thm_20746",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020747.lean\",\"5cf59502e287bb7df8d5a6db1110e570e53b166974d88acde1539861c211d8cf\",0,\"thm_20792\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020748.lean\",\"a5398873e20de4b6fca22e91ec7bcaf4b69da49c660d0955f35deffd536f2313\",0,\"thm_20793\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020749.lean\",\"f44647e819d5e84b04456e3bb570a0b7554fd9cdcc7e0156e062bc5afef17c88\",0,\"thm_20794\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288857,
+      "path": "data/train/p8c/deepseek-000414-0000-5df42ce0a1d073db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "5df42ce0a1d073db0537867a990207ae0a13aa5d3046b00a53f2e47a03624f10"
+    },
+    {
+      "bytes": 38289,
+      "path": "data/dev/p8c/deepseek-000414-0000-8fddf115309220ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8fddf115309220ca8da43af0969346f1843b1a4084b00fbbcdbb732c3d1b8bbd"
+    },
+    {
+      "bytes": 57283,
+      "path": "data/internal_test/p8c/deepseek-000414-0000-1189dc864d89bc20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1189dc864d89bc2093f0723c4174cbad31b012fbb9cd33e43020b734dd170a88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000415.json b/manifests/batches/deepseek/000415.json
index ca14c9bea309e3098d73377f6e5374b2161bc739..d3b4f43d96b41ae725b5b61e12cdd7f81ba4ca4a 100644
--- a/manifests/batches/deepseek/000415.json
+++ b/manifests/batches/deepseek/000415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000415",
   "batch_fingerprint": "2352c753d708df5a50e7023886c5ed01293317b9fdd3f70facad5e28940c0a67",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000415-0000-9e7f1766e3ade430.parquet",
-      "sha256": "9e7f1766e3ade4309e2b8b85a737b214a00c6d0fd84c399cc395cb38f30bb2f0",
-      "bytes": 339638,
-      "rows": 116,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/dev/deepseek-000415-0000-3ad606e119dc7d9c.parquet",
-      "sha256": "3ad606e119dc7d9cf07a8f1e2d71d28858fa2aaf1058651893632c5bec70c48e",
-      "bytes": 34735,
-      "rows": 1,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/deepseek-000415-0000-a979625f211bb17b.parquet",
-      "sha256": "a979625f211bb17bdce1eca98f6bb98306ff5f0dc804c5c111f1933622b14280",
-      "bytes": 44992,
-      "rows": 10,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20795",
     "deepseek:thm_20797",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020797.lean\",\"b22727450f91bed4f87faa87e31640b7761808fa5df63fa82cf4529ad716abef\",0,\"thm_20842\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020798.lean\",\"8ed6396d065af1c0e3560f3ceec8480f2ccedc5eb0520b649e87a98f28bbb99d\",0,\"thm_20843\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020799.lean\",\"011042211b9e3db295f63b4e367f266017a4e476f8931866bf2a6de45feae7f1\",0,\"thm_20844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339638,
+      "path": "data/train/p8e/deepseek-000415-0000-9e7f1766e3ade430.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 116,
+      "sha256": "9e7f1766e3ade4309e2b8b85a737b214a00c6d0fd84c399cc395cb38f30bb2f0"
+    },
+    {
+      "bytes": 34735,
+      "path": "data/dev/p8e/deepseek-000415-0000-3ad606e119dc7d9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3ad606e119dc7d9cf07a8f1e2d71d28858fa2aaf1058651893632c5bec70c48e"
+    },
+    {
+      "bytes": 44992,
+      "path": "data/internal_test/p8e/deepseek-000415-0000-a979625f211bb17b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a979625f211bb17bdce1eca98f6bb98306ff5f0dc804c5c111f1933622b14280"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000416.json b/manifests/batches/deepseek/000416.json
index 8ef4c09f3cfea8e3296f97523a3caf1de268ac5b..60087628746f3b7677a4ae1b4687a6fdcbdf2cee 100644
--- a/manifests/batches/deepseek/000416.json
+++ b/manifests/batches/deepseek/000416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000416",
   "batch_fingerprint": "96fc32e69aadc23872cd7ce6925d6a0a57c8a7c56c50ab3cb7a6684698f72630",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000416-0000-e45cbd668ca2f5c9.parquet",
-      "sha256": "e45cbd668ca2f5c9a06db9bffbf53dcb61df5e2b8e0c60fa667e00ebef2166e0",
-      "bytes": 301466,
-      "rows": 95,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/dev/deepseek-000416-0000-2aa162f52ee59558.parquet",
-      "sha256": "2aa162f52ee59558c1a9e0497ae51350cc666c87c8d33ec25f5d6519b382de0e",
-      "bytes": 36003,
-      "rows": 6,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/deepseek-000416-0000-f5da1d1d89a96436.parquet",
-      "sha256": "f5da1d1d89a96436be106c74776caf3568cf65d5dae5659161891faa7921df1a",
-      "bytes": 51906,
-      "rows": 11,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20845",
     "deepseek:thm_20846",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020847.lean\",\"be98acf44b735861da66ac1c2db3875b9ea696245b4dc460a53bc3dd93868fe5\",0,\"thm_20892\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020848.lean\",\"4a847f2709b63ab6fe066c338bd88dbf8ac134c0015a720358ddc1f902d2ce90\",0,\"thm_20893\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020849.lean\",\"d63d96320ef1e25596bad31ef85402b05b626bc0c26f7a0a69483eeb0c226324\",0,\"thm_20894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301466,
+      "path": "data/train/p39/deepseek-000416-0000-e45cbd668ca2f5c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "e45cbd668ca2f5c9a06db9bffbf53dcb61df5e2b8e0c60fa667e00ebef2166e0"
+    },
+    {
+      "bytes": 36003,
+      "path": "data/dev/p39/deepseek-000416-0000-2aa162f52ee59558.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2aa162f52ee59558c1a9e0497ae51350cc666c87c8d33ec25f5d6519b382de0e"
+    },
+    {
+      "bytes": 51906,
+      "path": "data/internal_test/p39/deepseek-000416-0000-f5da1d1d89a96436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f5da1d1d89a96436be106c74776caf3568cf65d5dae5659161891faa7921df1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000417.json b/manifests/batches/deepseek/000417.json
index 92610a59d468b95b87f77c3c7df798116ec0ca12..090ba6fb6541bda6bd498ea7893a3dcd69ca67c8 100644
--- a/manifests/batches/deepseek/000417.json
+++ b/manifests/batches/deepseek/000417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000417",
   "batch_fingerprint": "e72aba83a6059682f74bd87466814197f0c5e536598566d3dc8d58dfb929ed81",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000417-0000-b9662588b77bfc8f.parquet",
-      "sha256": "b9662588b77bfc8f71680ef86ce5f41eeeb6d3605a8dee5cf8cf1f0cb73a3f56",
-      "bytes": 321454,
-      "rows": 100,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/dev/deepseek-000417-0000-07900526c590545d.parquet",
-      "sha256": "07900526c590545dd040aad3ac96385a0aefbd2aa8974f2d0b96af0165455672",
-      "bytes": 31249,
-      "rows": 3,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/deepseek-000417-0000-141e8c2a41480538.parquet",
-      "sha256": "141e8c2a414805385a7a216b849bc3ba628e0f2ec767c224970d272046089de5",
-      "bytes": 51001,
-      "rows": 13,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20895",
     "deepseek:thm_20896",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020897.lean\",\"7a7d4f1819929cd88362bfe1f5332b8f703239ed49c73d3826a66fd3eda46dd8\",0,\"thm_20942\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020898.lean\",\"cd67512c05886a1ab2104890065923539054ac71c380491f34141debd40d9a64\",0,\"thm_20943\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020899.lean\",\"96d8eead6dcdb9f7b5057fdd79844421eb2414998c5873cd76ed50bc18eeace6\",0,\"thm_20944\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321454,
+      "path": "data/train/pd0/deepseek-000417-0000-b9662588b77bfc8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "b9662588b77bfc8f71680ef86ce5f41eeeb6d3605a8dee5cf8cf1f0cb73a3f56"
+    },
+    {
+      "bytes": 31249,
+      "path": "data/dev/pd0/deepseek-000417-0000-07900526c590545d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "07900526c590545dd040aad3ac96385a0aefbd2aa8974f2d0b96af0165455672"
+    },
+    {
+      "bytes": 51001,
+      "path": "data/internal_test/pd0/deepseek-000417-0000-141e8c2a41480538.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "141e8c2a414805385a7a216b849bc3ba628e0f2ec767c224970d272046089de5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000418.json b/manifests/batches/deepseek/000418.json
index ef7c2f9324dd9765a294885ed357b5e38e4a2b45..d0c9b4ac29c326064f7933740af08905e3576624 100644
--- a/manifests/batches/deepseek/000418.json
+++ b/manifests/batches/deepseek/000418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000418",
   "batch_fingerprint": "829178df6d9ee0c2e02f668b6d4d2ba690c8c4b73cc34c5bb9b4f8941f3c857e",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000418-0000-16f683a6af6e0346.parquet",
-      "sha256": "16f683a6af6e0346d7bdafadf85de826dee95f7cfad10af64b82ac77268e7e71",
-      "bytes": 277701,
-      "rows": 93,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/dev/deepseek-000418-0000-d07e45a2946665dd.parquet",
-      "sha256": "d07e45a2946665dd6fd6cc333590cacf728cdf7dcd56bd1ace47b7d5b928e24f",
-      "bytes": 36073,
-      "rows": 4,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/internal_test/deepseek-000418-0000-ec4a38f96b54eb23.parquet",
-      "sha256": "ec4a38f96b54eb23ae5524b2295baf2972a877b583a694f34a40165ad0081f23",
-      "bytes": 63969,
-      "rows": 15,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20945",
     "deepseek:thm_20946",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020947.lean\",\"143d8464f68e860bc90eeebad5c2cd91695d54e2d0c700c9f6e8e1abf734ac4c\",0,\"thm_20992\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020948.lean\",\"c5c0364f3c6338a6d29aa6ccec29334ec7259015e8e468cdb356cc1e0a11aecc\",0,\"thm_20993\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020949.lean\",\"3672b94e0f2e6868f7403d8400e82c063614395d91116f525f36879317700264\",0,\"thm_20994\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277701,
+      "path": "data/train/p05/deepseek-000418-0000-16f683a6af6e0346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "16f683a6af6e0346d7bdafadf85de826dee95f7cfad10af64b82ac77268e7e71"
+    },
+    {
+      "bytes": 36073,
+      "path": "data/dev/p05/deepseek-000418-0000-d07e45a2946665dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d07e45a2946665dd6fd6cc333590cacf728cdf7dcd56bd1ace47b7d5b928e24f"
+    },
+    {
+      "bytes": 63969,
+      "path": "data/internal_test/p05/deepseek-000418-0000-ec4a38f96b54eb23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ec4a38f96b54eb23ae5524b2295baf2972a877b583a694f34a40165ad0081f23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000419.json b/manifests/batches/deepseek/000419.json
index 778c15e05379916101a9dc2c5e29ac97aa168c1e..958e9b40104a73c43d2e809fd586af488ec662cc 100644
--- a/manifests/batches/deepseek/000419.json
+++ b/manifests/batches/deepseek/000419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000419",
   "batch_fingerprint": "d20603fcf35d0863191e2e496ad24e46d282710085f6cefd1666991a607c254e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000419-0000-1775ca7a61526111.parquet",
-      "sha256": "1775ca7a6152611172d9ae0a8fe060b1c7897c65c68c9adeeae3fa25b51e8620",
-      "bytes": 273535,
-      "rows": 94,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/dev/deepseek-000419-0000-f6b6034abf4df407.parquet",
-      "sha256": "f6b6034abf4df407a443af6db737ed96134613ef6a5bbba0b49cb83cad969388",
-      "bytes": 44619,
-      "rows": 8,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/internal_test/deepseek-000419-0000-b78cb9c57551ede8.parquet",
-      "sha256": "b78cb9c57551ede86f2dbd18a67c38db8c941a39f8d95d8a96a9358fdb86cb8e",
-      "bytes": 65748,
-      "rows": 21,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_20995",
     "deepseek:thm_20996",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020997.lean\",\"7b1d4c5fadefd396ea36109e950f0ada03658ea80e135d40f5bf63c58ea6329e\",0,\"thm_21042\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020998.lean\",\"5322b3a1f3e0360f5b0b0a83d0d21240904b1c33e92cc4b04d9262a160edee99\",0,\"thm_21043\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_020999.lean\",\"c94bb1072c97a8a2ca445ca0cd143537af323e2db8a092c80205d1a2befcbae0\",0,\"thm_21044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273535,
+      "path": "data/train/pe7/deepseek-000419-0000-1775ca7a61526111.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "1775ca7a6152611172d9ae0a8fe060b1c7897c65c68c9adeeae3fa25b51e8620"
+    },
+    {
+      "bytes": 44619,
+      "path": "data/dev/pe7/deepseek-000419-0000-f6b6034abf4df407.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f6b6034abf4df407a443af6db737ed96134613ef6a5bbba0b49cb83cad969388"
+    },
+    {
+      "bytes": 65748,
+      "path": "data/internal_test/pe7/deepseek-000419-0000-b78cb9c57551ede8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b78cb9c57551ede86f2dbd18a67c38db8c941a39f8d95d8a96a9358fdb86cb8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000420.json b/manifests/batches/deepseek/000420.json
index 68ba47a56bbabba217b223f7bb021b89d3aa33ab..4ae729c794afc836a6ca23b03989beacb9315aec 100644
--- a/manifests/batches/deepseek/000420.json
+++ b/manifests/batches/deepseek/000420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000420",
   "batch_fingerprint": "95fae2c5a78a362feb1012cfc0adaa57a194a939caedc696e7f2d49afb0e43a1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000420-0000-dadc0d44595f5d62.parquet",
-      "sha256": "dadc0d44595f5d62481c768c4e526640210bc9a1feefb6925e607dc4a299a67d",
-      "bytes": 352990,
-      "rows": 106,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000420-0000-04ced58364fc09ac.parquet",
-      "sha256": "04ced58364fc09acdff1582dc9698e16b709f006637e974df6508e6900724db9",
-      "bytes": 35698,
-      "rows": 5,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000420-0000-bca1aedf614a9b71.parquet",
-      "sha256": "bca1aedf614a9b71b6890a75c87ab507f3a4b086c63bf6aaef2cce3ce6b1603e",
-      "bytes": 49260,
-      "rows": 7,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21045",
     "deepseek:thm_21046",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021047.lean\",\"cb7381bd5ca4fb27fe5ecd3d4ef93e20df4d2ea733eb78956b6af2109cfab8f4\",0,\"thm_21092\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021048.lean\",\"067de1b54a53931edaacf11083702781993d56d90486785870c737731471010a\",0,\"thm_21093\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021049.lean\",\"60aea8d75870b63640f5c5c03a8913b2f5fada465c2e7f0aa4d51a9be3c1b665\",0,\"thm_21094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352990,
+      "path": "data/train/p5c/deepseek-000420-0000-dadc0d44595f5d62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "dadc0d44595f5d62481c768c4e526640210bc9a1feefb6925e607dc4a299a67d"
+    },
+    {
+      "bytes": 35698,
+      "path": "data/dev/p5c/deepseek-000420-0000-04ced58364fc09ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "04ced58364fc09acdff1582dc9698e16b709f006637e974df6508e6900724db9"
+    },
+    {
+      "bytes": 49260,
+      "path": "data/internal_test/p5c/deepseek-000420-0000-bca1aedf614a9b71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bca1aedf614a9b71b6890a75c87ab507f3a4b086c63bf6aaef2cce3ce6b1603e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000421.json b/manifests/batches/deepseek/000421.json
index 8323adbd9154fd20eda1c853692b2ab5ac9d0480..7757a002896a3b3bdbc388cc0a9daa4f2a4ec2d1 100644
--- a/manifests/batches/deepseek/000421.json
+++ b/manifests/batches/deepseek/000421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000421",
   "batch_fingerprint": "95ca9c8d5d058fc87a8ea4ba4384bfa6cdc87083d506872a00161cb8bcec0525",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000421-0000-40b3be211bd8a921.parquet",
-      "sha256": "40b3be211bd8a9217fd3ea2c3c84aab1e2e820669e71cf1887242acbefa0218b",
-      "bytes": 248706,
-      "rows": 92,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000421-0000-c31c1526592f6f3d.parquet",
-      "sha256": "c31c1526592f6f3d00fef7fca43bcaec34ada555df643f34489e4dc2c39b4e86",
-      "bytes": 35210,
-      "rows": 4,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000421-0000-1d919f0aab2325fa.parquet",
-      "sha256": "1d919f0aab2325facd8595b299fcc1d8b2123a881beb13989729ac7b8d68fecc",
-      "bytes": 90600,
-      "rows": 28,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21095",
     "deepseek:thm_21096",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021097.lean\",\"91abd7ec62db99aeb75aa3e582574c3a8b45fd6c8842c2c9a100253e039034e4\",0,\"thm_21142\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021098.lean\",\"89633fbdfa119561f08c01031dfd95638c0f80774e0c47db63286dbf4c9fa232\",0,\"thm_21143\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021099.lean\",\"a9b050ad8c0512724ec4ccc6f515305df680ef14f9c871ee18b7f44fc30f02d4\",0,\"thm_21144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248706,
+      "path": "data/train/p57/deepseek-000421-0000-40b3be211bd8a921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "40b3be211bd8a9217fd3ea2c3c84aab1e2e820669e71cf1887242acbefa0218b"
+    },
+    {
+      "bytes": 35210,
+      "path": "data/dev/p57/deepseek-000421-0000-c31c1526592f6f3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c31c1526592f6f3d00fef7fca43bcaec34ada555df643f34489e4dc2c39b4e86"
+    },
+    {
+      "bytes": 90600,
+      "path": "data/internal_test/p57/deepseek-000421-0000-1d919f0aab2325fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1d919f0aab2325facd8595b299fcc1d8b2123a881beb13989729ac7b8d68fecc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000422.json b/manifests/batches/deepseek/000422.json
index 6369133e3319099a284333069b980257c02cb553..b57e5e758a43f62fe83ff3fdaef8368ba4f0182b 100644
--- a/manifests/batches/deepseek/000422.json
+++ b/manifests/batches/deepseek/000422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000422",
   "batch_fingerprint": "920e286126ceb736f149cd631287fe40491103c88cce3f362cf8d59b071207e1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000422-0000-8d49813edd90a2a3.parquet",
-      "sha256": "8d49813edd90a2a32d04cd9dcd0fef52247525cd9df928f64b1cf6a5872fc693",
-      "bytes": 372623,
-      "rows": 103,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000422-0000-4698f0a6dde010e0.parquet",
-      "sha256": "4698f0a6dde010e082928fc4a3cb960f764ef7bb2a29c30047bbb29959f5c1bc",
-      "bytes": 58199,
-      "rows": 10,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000422-0000-6f5574d219bd57d3.parquet",
-      "sha256": "6f5574d219bd57d3166a3cd401be01e732c2daa260bbd033b19a0616535e769b",
-      "bytes": 46517,
-      "rows": 11,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21145",
     "deepseek:thm_21146",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021147.lean\",\"cde3d2af93cea3219ea7a0daa7e9efb971a9cd2d8e0727e1c049081b7e037308\",0,\"thm_21192\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021148.lean\",\"e842ec82fe19f1d90d88dacda5b21bb98351dabfb0f682c4dca4dc4645dcee52\",0,\"thm_21193\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021149.lean\",\"b57a8d40aebbdff853a24d7da900fd2c12f1211924e78ece40f8e6fadbe32e3c\",0,\"thm_21194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372623,
+      "path": "data/train/pba/deepseek-000422-0000-8d49813edd90a2a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "8d49813edd90a2a32d04cd9dcd0fef52247525cd9df928f64b1cf6a5872fc693"
+    },
+    {
+      "bytes": 58199,
+      "path": "data/dev/pba/deepseek-000422-0000-4698f0a6dde010e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4698f0a6dde010e082928fc4a3cb960f764ef7bb2a29c30047bbb29959f5c1bc"
+    },
+    {
+      "bytes": 46517,
+      "path": "data/internal_test/pba/deepseek-000422-0000-6f5574d219bd57d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6f5574d219bd57d3166a3cd401be01e732c2daa260bbd033b19a0616535e769b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000423.json b/manifests/batches/deepseek/000423.json
index 447d20fb2bd770c3cc9b568c82154c4858fd7cb8..0c59f0a8e99c77aa9891f238765010b7ee1a38f4 100644
--- a/manifests/batches/deepseek/000423.json
+++ b/manifests/batches/deepseek/000423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000423",
   "batch_fingerprint": "31d9b7fa6a95891c87041dbb12e53891f4a1271c0f598e199e1c4ffde5f29802",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000423-0000-ea5be53e9f67be91.parquet",
-      "sha256": "ea5be53e9f67be91d628d7fc42ee191b1db038f4e9942d21fd037126a3a71e06",
-      "bytes": 318282,
-      "rows": 100,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000423-0000-51f92c3b6670c568.parquet",
-      "sha256": "51f92c3b6670c568d7c907842649ae986a5960ebe2d2ff583c91b4f5cfd1e834",
-      "bytes": 40876,
-      "rows": 7,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000423-0000-19b551f34f9783dc.parquet",
-      "sha256": "19b551f34f9783dc2e67a7981e4137ae71e79ddfa5594d5114f01d061c4bab89",
-      "bytes": 37448,
-      "rows": 6,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21195",
     "deepseek:thm_21196",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021197.lean\",\"f01977a440269f2da2691838797830f73727e8d3d987e504db261e9470aee6b4\",0,\"thm_21242\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021198.lean\",\"88b4a299d87be005f89b88ad2bee33e84c5341365fc2cda9851baf4c5b3c4004\",0,\"thm_21243\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021199.lean\",\"15f0257912f59adbcda5183a7a207e8108f68f68fca3076b4050274b3881061b\",0,\"thm_21244\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318282,
+      "path": "data/train/pa4/deepseek-000423-0000-ea5be53e9f67be91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "ea5be53e9f67be91d628d7fc42ee191b1db038f4e9942d21fd037126a3a71e06"
+    },
+    {
+      "bytes": 40876,
+      "path": "data/dev/pa4/deepseek-000423-0000-51f92c3b6670c568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "51f92c3b6670c568d7c907842649ae986a5960ebe2d2ff583c91b4f5cfd1e834"
+    },
+    {
+      "bytes": 37448,
+      "path": "data/internal_test/pa4/deepseek-000423-0000-19b551f34f9783dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "19b551f34f9783dc2e67a7981e4137ae71e79ddfa5594d5114f01d061c4bab89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000424.json b/manifests/batches/deepseek/000424.json
index f21f7c649cb609c92b27fc780dffe4b5048b7c7d..079325260759c86eb470307e1e37bc7147c81463 100644
--- a/manifests/batches/deepseek/000424.json
+++ b/manifests/batches/deepseek/000424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000424",
   "batch_fingerprint": "978d41e5fddcaaf837c61cba5ceca3b8b9c12739570c1021dc4f0eb1b7cb8689",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000424-0000-e51e035fc8793373.parquet",
-      "sha256": "e51e035fc8793373996db68b1dd86645bf07cf25ac6d5c75cecdf4b5f2024a1f",
-      "bytes": 271928,
-      "rows": 94,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000424-0000-21bdf64ece472709.parquet",
-      "sha256": "21bdf64ece472709963bfcc398dea72d5546190aff8cc4b6fd891e5b406ed2fc",
-      "bytes": 38142,
-      "rows": 3,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000424-0000-5873244b346bcebd.parquet",
-      "sha256": "5873244b346bcebdba9c7346a7c66bae0e244b6243113b38dbd8e7d8001c0d0b",
-      "bytes": 61750,
-      "rows": 16,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21245",
     "deepseek:thm_21246",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021247.lean\",\"ba4ea30dfd59c2567fd5191461cf5b22b68ecfa4d9c4cbe75abf196b2e88bd4f\",0,\"thm_21292\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021248.lean\",\"371f71917562231f71d0e234a9822f77dc5247faa1a4f672db51ebfb4564bfc7\",0,\"thm_21293\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021249.lean\",\"8c6e68a10810e4bb3a332beb03da113da5e3977408eff48b7a44cea6d13eacbc\",0,\"thm_21294\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271928,
+      "path": "data/train/p11/deepseek-000424-0000-e51e035fc8793373.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "e51e035fc8793373996db68b1dd86645bf07cf25ac6d5c75cecdf4b5f2024a1f"
+    },
+    {
+      "bytes": 38142,
+      "path": "data/dev/p11/deepseek-000424-0000-21bdf64ece472709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "21bdf64ece472709963bfcc398dea72d5546190aff8cc4b6fd891e5b406ed2fc"
+    },
+    {
+      "bytes": 61750,
+      "path": "data/internal_test/p11/deepseek-000424-0000-5873244b346bcebd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5873244b346bcebdba9c7346a7c66bae0e244b6243113b38dbd8e7d8001c0d0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000425.json b/manifests/batches/deepseek/000425.json
index 5cc3055ba8f8cca2d10af091380f80b46b07fa7f..2b62f48b91f7b672611bbb362d6ca19c2798caeb 100644
--- a/manifests/batches/deepseek/000425.json
+++ b/manifests/batches/deepseek/000425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000425",
   "batch_fingerprint": "1cc62138fc3e7d1b2fe36a09d55c3a8f66bbec3e41440719c2a4574c8c4917ee",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000425-0000-67280fb54c9cc73f.parquet",
-      "sha256": "67280fb54c9cc73f1da30eb3f73f15bb7f3fea4d7c8dcdaba61cd253f2b363a1",
-      "bytes": 323936,
-      "rows": 97,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/deepseek-000425-0000-511f0529b8d6254b.parquet",
-      "sha256": "511f0529b8d6254bf148894dba4c80774282fbdd8a392e18f63c8dd19bd41868",
-      "bytes": 31676,
-      "rows": 3,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/deepseek-000425-0000-fbd73453bb0ff0b2.parquet",
-      "sha256": "fbd73453bb0ff0b23c55a537344a468ea4c89eed6ae34c7bee8bde591326d9f0",
-      "bytes": 75555,
-      "rows": 22,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21295",
     "deepseek:thm_21296",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021297.lean\",\"b021c8cb568a5aecccfedaa7a8d7a9365c31ada30429595b80e7664768ce93e1\",0,\"thm_21343\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021298.lean\",\"dc9c5155d36443fd7595f2fe9815a4edc10922255ae6c8c515073ca396589bb9\",0,\"thm_21344\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021299.lean\",\"f81b6e26e342f7b2c14b13243154b1fae0ff02cc9a6597836bf8408d77b9cf08\",0,\"thm_21345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323936,
+      "path": "data/train/pf4/deepseek-000425-0000-67280fb54c9cc73f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "67280fb54c9cc73f1da30eb3f73f15bb7f3fea4d7c8dcdaba61cd253f2b363a1"
+    },
+    {
+      "bytes": 31676,
+      "path": "data/dev/pf4/deepseek-000425-0000-511f0529b8d6254b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "511f0529b8d6254bf148894dba4c80774282fbdd8a392e18f63c8dd19bd41868"
+    },
+    {
+      "bytes": 75555,
+      "path": "data/internal_test/pf4/deepseek-000425-0000-fbd73453bb0ff0b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "fbd73453bb0ff0b23c55a537344a468ea4c89eed6ae34c7bee8bde591326d9f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000426.json b/manifests/batches/deepseek/000426.json
index 4921f7cdcadfc4780615d55975276cf2c54c8fbe..f6bd87a60ee3b3ba33c7beab28bb8fbf8f7f67ec 100644
--- a/manifests/batches/deepseek/000426.json
+++ b/manifests/batches/deepseek/000426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000426",
   "batch_fingerprint": "6e0da72c55669177f4f6097dcc8ab55974084fcee8777cc5449ef6fe0d9187a6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000426-0000-1f7394c0f9ae27ba.parquet",
-      "sha256": "1f7394c0f9ae27ba116352cce27eb03c1a4831b67e77de744c460a3b750ad6e4",
-      "bytes": 340629,
-      "rows": 107,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/deepseek-000426-0000-a6fd15b9651c0815.parquet",
-      "sha256": "a6fd15b9651c081522038549e8eea3b7cf2471ac2e2de54e5da539206da1bc52",
-      "bytes": 36283,
-      "rows": 3,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/deepseek-000426-0000-b3d79370c3f7c4dc.parquet",
-      "sha256": "b3d79370c3f7c4dc834066f57d9f720908e3bc5ff32ddaafcf48373bb9f5e9d1",
-      "bytes": 255011,
-      "rows": 8,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21346",
     "deepseek:thm_21347",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021347.lean\",\"a66e610941ed710370bdf326d4a6157bd6e9300dda4d388cbba2ad6fea848c6e\",0,\"thm_21393\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021348.lean\",\"bf2d758ca701302eb7d073a38957a6e5cde63716a799b7b8d0f49b6228be23de\",0,\"thm_21394\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021349.lean\",\"238838f67d9dba85d795f2a1f0adac57d86ef0dda189ee0c82b9251931e681a2\",0,\"thm_21395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340629,
+      "path": "data/train/pe5/deepseek-000426-0000-1f7394c0f9ae27ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "1f7394c0f9ae27ba116352cce27eb03c1a4831b67e77de744c460a3b750ad6e4"
+    },
+    {
+      "bytes": 36283,
+      "path": "data/dev/pe5/deepseek-000426-0000-a6fd15b9651c0815.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a6fd15b9651c081522038549e8eea3b7cf2471ac2e2de54e5da539206da1bc52"
+    },
+    {
+      "bytes": 255011,
+      "path": "data/internal_test/pe5/deepseek-000426-0000-b3d79370c3f7c4dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b3d79370c3f7c4dc834066f57d9f720908e3bc5ff32ddaafcf48373bb9f5e9d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000427.json b/manifests/batches/deepseek/000427.json
index ebe52cb40e74e42f76abdc0e9440247424f70980..abfa06906640e793c9628acf078901391bfa04d2 100644
--- a/manifests/batches/deepseek/000427.json
+++ b/manifests/batches/deepseek/000427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000427",
   "batch_fingerprint": "96b575d3c9252711da0aaaacd3cace10aef81d144fb60247f9e61239baf2904d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000427-0000-afaa5f965f0c24d3.parquet",
-      "sha256": "afaa5f965f0c24d3726e995fe61c054c86f54b35cf48f1bfc51c1cca9d7a672a",
-      "bytes": 307654,
-      "rows": 100,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/deepseek-000427-0000-6e922621dac6beaa.parquet",
-      "sha256": "6e922621dac6beaa07f24521098a5514d15850f4a84b2944d49a71c4e7aa1d75",
-      "bytes": 37269,
-      "rows": 4,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000427-0000-3f4687c62f3f542f.parquet",
-      "sha256": "3f4687c62f3f542f031e719ebf6d4bb0fa13be20294ff495090fd96322f38d28",
-      "bytes": 58026,
-      "rows": 12,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21396",
     "deepseek:thm_21397",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021397.lean\",\"c3f0b2445c6f92659c2d1120a183cc1d1674884af3fbfdb73e0ca30dd65b2187\",0,\"thm_21443\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021398.lean\",\"35e66fbba77d609e21b3c60ba498834272be25e57ea4dab0a2a01b8fe827bd2d\",0,\"thm_21444\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021399.lean\",\"cf25d9c83a643edcb733b0b410f16743b7dd3fce4163ea7243f6f0ce0abad5da\",0,\"thm_21445\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307654,
+      "path": "data/train/p6f/deepseek-000427-0000-afaa5f965f0c24d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "afaa5f965f0c24d3726e995fe61c054c86f54b35cf48f1bfc51c1cca9d7a672a"
+    },
+    {
+      "bytes": 37269,
+      "path": "data/dev/p6f/deepseek-000427-0000-6e922621dac6beaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6e922621dac6beaa07f24521098a5514d15850f4a84b2944d49a71c4e7aa1d75"
+    },
+    {
+      "bytes": 58026,
+      "path": "data/internal_test/p6f/deepseek-000427-0000-3f4687c62f3f542f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3f4687c62f3f542f031e719ebf6d4bb0fa13be20294ff495090fd96322f38d28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000428.json b/manifests/batches/deepseek/000428.json
index 8b6a8f1bfd36f51a8dbd3267494cd863199a5713..0dfca833d8ae5267b8499de6f6f0fb02c2f91d0a 100644
--- a/manifests/batches/deepseek/000428.json
+++ b/manifests/batches/deepseek/000428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000428",
   "batch_fingerprint": "44722aa8e3cb8efbe9f62ee7a0a2553cdcec7de1e78c7ba52ebe7c10052bee7c",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000428-0000-0edf4685eb9ad371.parquet",
-      "sha256": "0edf4685eb9ad3713b39ad256a4d078ef08b822f2961126524a6542869254693",
-      "bytes": 293919,
-      "rows": 93,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/deepseek-000428-0000-827c22c320be4d57.parquet",
-      "sha256": "827c22c320be4d5747b25151e12fcfdb1b27512b1c4745b401f0ba2ba006746a",
-      "bytes": 37685,
-      "rows": 5,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/deepseek-000428-0000-f2434f0360243fdc.parquet",
-      "sha256": "f2434f0360243fdcbfc5c1681ebe63ad92ef511c9e6e416335468a3d4120001c",
-      "bytes": 51680,
-      "rows": 14,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21446",
     "deepseek:thm_21447",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021447.lean\",\"8509e73c2cefaade0bdcede69ec5cf0b20fd55aa0322697b749203b510379054\",0,\"thm_21493\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021448.lean\",\"cb4074d2121ca7971920cbfff079d88eb7b34739bd7ff7011eccd2eb15e876b4\",0,\"thm_21494\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021449.lean\",\"eb9986d51b582027b8095d5b0b2af534f006762fdfc5e5fa8a2ed1348364f1bc\",0,\"thm_21495\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293919,
+      "path": "data/train/p92/deepseek-000428-0000-0edf4685eb9ad371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "0edf4685eb9ad3713b39ad256a4d078ef08b822f2961126524a6542869254693"
+    },
+    {
+      "bytes": 37685,
+      "path": "data/dev/p92/deepseek-000428-0000-827c22c320be4d57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "827c22c320be4d5747b25151e12fcfdb1b27512b1c4745b401f0ba2ba006746a"
+    },
+    {
+      "bytes": 51680,
+      "path": "data/internal_test/p92/deepseek-000428-0000-f2434f0360243fdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f2434f0360243fdcbfc5c1681ebe63ad92ef511c9e6e416335468a3d4120001c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000429.json b/manifests/batches/deepseek/000429.json
index dfbd803109878a39faad77650113f4e1c7202e68..d83f95fdd518a8627a670ed794d95608625d2e4d 100644
--- a/manifests/batches/deepseek/000429.json
+++ b/manifests/batches/deepseek/000429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000429",
   "batch_fingerprint": "b96976ef9e8f045a7ea0351c4b48034b6f79cc8233b73f2a754f4906c0c5fd48",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000429-0000-5212203f749feb5d.parquet",
-      "sha256": "5212203f749feb5d3efc4dddb01aa67d6d557210dabb84f295f5ddbcba5f4e30",
-      "bytes": 286734,
-      "rows": 85,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/deepseek-000429-0000-4b8460b94f90af16.parquet",
-      "sha256": "4b8460b94f90af169ba6ec24de77436e9acdedd30a847939b7c122de4eadbdc0",
-      "bytes": 33250,
-      "rows": 3,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/deepseek-000429-0000-fb92b99d8e959171.parquet",
-      "sha256": "fb92b99d8e9591714fd2e7184942794b6ee495150e917627fcbbbd8a456f9212",
-      "bytes": 60062,
-      "rows": 15,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21496",
     "deepseek:thm_21497",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021497.lean\",\"6835ec2dbe60f4e5ba02e5d57b47c09622c84d9f23d7ce4290f95adcff9e3e30\",0,\"thm_21543\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021498.lean\",\"f5da89b59b11d255c07cb69407a4f2bcbf4458e7219cf8d439f7660e497852fc\",0,\"thm_21544\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021499.lean\",\"35c37e9b2edd8aa8acb41b427b9cf7fc24a1e10faa5c9913ed33199ff54f4c5c\",0,\"thm_21545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286734,
+      "path": "data/train/p06/deepseek-000429-0000-5212203f749feb5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "5212203f749feb5d3efc4dddb01aa67d6d557210dabb84f295f5ddbcba5f4e30"
+    },
+    {
+      "bytes": 33250,
+      "path": "data/dev/p06/deepseek-000429-0000-4b8460b94f90af16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4b8460b94f90af169ba6ec24de77436e9acdedd30a847939b7c122de4eadbdc0"
+    },
+    {
+      "bytes": 60062,
+      "path": "data/internal_test/p06/deepseek-000429-0000-fb92b99d8e959171.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fb92b99d8e9591714fd2e7184942794b6ee495150e917627fcbbbd8a456f9212"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000430.json b/manifests/batches/deepseek/000430.json
index 004be66c508d842e6a16dc8518f170591d5e3704..4590093eca7347ee036f30b048a0c390d018c45b 100644
--- a/manifests/batches/deepseek/000430.json
+++ b/manifests/batches/deepseek/000430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000430",
   "batch_fingerprint": "60c864cba5e22655735cac6488fc7929455fed3841aa7d3e6c56a91e5958f57b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000430-0000-b4e81f6b0c80ddfe.parquet",
-      "sha256": "b4e81f6b0c80ddfe7ce5ecdf2e64de8fcf8a130dc3a0e3e042e8ff6e6a01a01d",
-      "bytes": 315006,
-      "rows": 111,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/deepseek-000430-0000-7c6446af6e08d449.parquet",
-      "sha256": "7c6446af6e08d44970120aec7581d376ca69b211ac23bbc04569e656baa5c928",
-      "bytes": 57035,
-      "rows": 13,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/deepseek-000430-0000-ab13e07a300db3cf.parquet",
-      "sha256": "ab13e07a300db3cff157dd0d3f9a4221379fc4b15d3e335660d426d8ca897b30",
-      "bytes": 35577,
-      "rows": 7,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21546",
     "deepseek:thm_21547",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021547.lean\",\"dacead913277e2c8f18df4d2eb366e5b2005ad8c4dfe93a686838ccb0a990c38\",0,\"thm_21593\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021548.lean\",\"c9470f87663b9738ae4784c6c5c29dd07fe31bb4437f98b348d5d5e66bcf1e2b\",0,\"thm_21594\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021549.lean\",\"c856075f2ba8ecc6b467133fdceb97eb52b5aa86783db77187fc99c897eed5c9\",0,\"thm_21595\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315006,
+      "path": "data/train/p5e/deepseek-000430-0000-b4e81f6b0c80ddfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "b4e81f6b0c80ddfe7ce5ecdf2e64de8fcf8a130dc3a0e3e042e8ff6e6a01a01d"
+    },
+    {
+      "bytes": 57035,
+      "path": "data/dev/p5e/deepseek-000430-0000-7c6446af6e08d449.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7c6446af6e08d44970120aec7581d376ca69b211ac23bbc04569e656baa5c928"
+    },
+    {
+      "bytes": 35577,
+      "path": "data/internal_test/p5e/deepseek-000430-0000-ab13e07a300db3cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ab13e07a300db3cff157dd0d3f9a4221379fc4b15d3e335660d426d8ca897b30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000431.json b/manifests/batches/deepseek/000431.json
index df22afeb402fb9348808069c90395c6d167c4d16..befadbcb10ad48dc6942a4443493f621e5c32e7a 100644
--- a/manifests/batches/deepseek/000431.json
+++ b/manifests/batches/deepseek/000431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000431",
   "batch_fingerprint": "91c28182e8f1a1abd72a16790154e86457b7e3df65cd2c495fe89e7b18858c71",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000431-0000-7f381d90467e4447.parquet",
-      "sha256": "7f381d90467e4447cb22c1a6bcb0ac4eb3857f1ad7f043ecba69c9b9ea44c140",
-      "bytes": 331596,
-      "rows": 103,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/deepseek-000431-0000-62d4c9a45671683b.parquet",
-      "sha256": "62d4c9a45671683bedc805f7006b0794a3d7e75f9b42edd3d976504ca57ebde3",
-      "bytes": 41363,
-      "rows": 6,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/deepseek-000431-0000-f9f6ea9cddca3deb.parquet",
-      "sha256": "f9f6ea9cddca3deb7f003e48e96f1331ce6b4dad70d5bbc8c25e707936b21c3b",
-      "bytes": 41455,
-      "rows": 7,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21596",
     "deepseek:thm_21597",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021597.lean\",\"54aeb2f53d126050eced5d2cb1f7c295a027437c30c301f31ad11d0730eed46c\",0,\"thm_21643\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021598.lean\",\"7d87c20be92405cd2d3f639633f9c0661549b8404a9d268a98415478084f14bc\",0,\"thm_21644\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021599.lean\",\"2fa765da2c5ce87c15765b4a8a91bb7be56373c5b5535c6eeb048227aa481d98\",0,\"thm_21645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331596,
+      "path": "data/train/p07/deepseek-000431-0000-7f381d90467e4447.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "7f381d90467e4447cb22c1a6bcb0ac4eb3857f1ad7f043ecba69c9b9ea44c140"
+    },
+    {
+      "bytes": 41363,
+      "path": "data/dev/p07/deepseek-000431-0000-62d4c9a45671683b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "62d4c9a45671683bedc805f7006b0794a3d7e75f9b42edd3d976504ca57ebde3"
+    },
+    {
+      "bytes": 41455,
+      "path": "data/internal_test/p07/deepseek-000431-0000-f9f6ea9cddca3deb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f9f6ea9cddca3deb7f003e48e96f1331ce6b4dad70d5bbc8c25e707936b21c3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000432.json b/manifests/batches/deepseek/000432.json
index 3716614520087935e85303d80aff6769a27c7523..85bb8c4c64ed49e1b41bfc47200ed7a1a99a8f88 100644
--- a/manifests/batches/deepseek/000432.json
+++ b/manifests/batches/deepseek/000432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000432",
   "batch_fingerprint": "6258b4e38d9d1def48143d89e75c07b707f9b615345cb6da7c5c1d5481e743d7",
   "evidence": {
@@ -37,22 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000432-0000-78599208c62110d8.parquet",
-      "sha256": "78599208c62110d8c7c0e4647119744d7d8c1b6a9050eadd9798f88472e4ca38",
-      "bytes": 360086,
-      "rows": 111,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000432-0000-1e31733ae946ff8f.parquet",
-      "sha256": "1e31733ae946ff8fa2459f90dbfb87d77d26471d3df6a88a036f12f2c5bc3d9d",
-      "bytes": 54113,
-      "rows": 8,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21647",
     "deepseek:thm_21648",
@@ -154,5 +138,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021647.lean\",\"216c33803826f0f944e84b57179ad5967476782ab27dbc61938b5619a6da44f3\",0,\"thm_21693\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021648.lean\",\"bb985eaf2296f012bd3ff760810c308af14ac662c11989a99a82f96660f8386e\",0,\"thm_21694\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021649.lean\",\"16bcdba856b7b065458d65335a30afbe772be4bda9dc5e98e8b00e445feab0f1\",0,\"thm_21695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360086,
+      "path": "data/train/p62/deepseek-000432-0000-78599208c62110d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "78599208c62110d8c7c0e4647119744d7d8c1b6a9050eadd9798f88472e4ca38"
+    },
+    {
+      "bytes": 54113,
+      "path": "data/internal_test/p62/deepseek-000432-0000-1e31733ae946ff8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1e31733ae946ff8fa2459f90dbfb87d77d26471d3df6a88a036f12f2c5bc3d9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000433.json b/manifests/batches/deepseek/000433.json
index 385862360051b0413f1f3ea01eb76b0e37887769..2aa99b9f544f4f7b63db393858c94f92e35a0628 100644
--- a/manifests/batches/deepseek/000433.json
+++ b/manifests/batches/deepseek/000433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000433",
   "batch_fingerprint": "94a50eb22609ec4685689c7cf136d47e45a6616df019cfd076dfaa0817d0f476",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000433-0000-38e97a1e0db28384.parquet",
-      "sha256": "38e97a1e0db283843e3bb0148a048f4cf5c042be47ecbcbb610d8a66517f38c5",
-      "bytes": 282364,
-      "rows": 95,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/deepseek-000433-0000-084dc9a140a87b03.parquet",
-      "sha256": "084dc9a140a87b0306e7bad6a2e078564e9e543a5c63317f0de5522afefa9cf6",
-      "bytes": 48105,
-      "rows": 8,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/deepseek-000433-0000-cb9544e3212c069c.parquet",
-      "sha256": "cb9544e3212c069c7c14b820aa4f3ae626c7468bf5276f4a5289528ec131f42b",
-      "bytes": 52592,
-      "rows": 10,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21696",
     "deepseek:thm_21697",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021697.lean\",\"171dcd93c7e061aa1c0b229b14d34482446d113f7596dc72d73710f332a59fd5\",0,\"thm_21743\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021698.lean\",\"c789c3fbc3e91a3d3f86ffa25e70750c5dbefd7cf81722c6746510b2a971d51b\",0,\"thm_21744\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021699.lean\",\"8fc413eda5acabf0a11c012d44aa25fb09906000741db5ce00cfcd5a7d50be1d\",0,\"thm_21745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 282364,
+      "path": "data/train/p26/deepseek-000433-0000-38e97a1e0db28384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "38e97a1e0db283843e3bb0148a048f4cf5c042be47ecbcbb610d8a66517f38c5"
+    },
+    {
+      "bytes": 48105,
+      "path": "data/dev/p26/deepseek-000433-0000-084dc9a140a87b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "084dc9a140a87b0306e7bad6a2e078564e9e543a5c63317f0de5522afefa9cf6"
+    },
+    {
+      "bytes": 52592,
+      "path": "data/internal_test/p26/deepseek-000433-0000-cb9544e3212c069c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cb9544e3212c069c7c14b820aa4f3ae626c7468bf5276f4a5289528ec131f42b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000434.json b/manifests/batches/deepseek/000434.json
index 57aafb2e6c508fc262415685d8f3cadebd11daa2..c26c18f7b35b1e700e7ea8ce422aaef79898307c 100644
--- a/manifests/batches/deepseek/000434.json
+++ b/manifests/batches/deepseek/000434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000434",
   "batch_fingerprint": "998443a8290a9cc2806f31d4383d1bcddc90e25c7c9e9f7bf1a61c5bcedfd03e",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000434-0000-6209810700e81181.parquet",
-      "sha256": "6209810700e8118149c34300964dd72e8d27d5896aeec0e064d7d835385e652a",
-      "bytes": 315599,
-      "rows": 100,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/deepseek-000434-0000-a40072024bd6791b.parquet",
-      "sha256": "a40072024bd6791bdf038cc31a83f273900e4c00fc33b57746cfca21885edb4f",
-      "bytes": 38488,
-      "rows": 6,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/deepseek-000434-0000-6400cda738a3e66c.parquet",
-      "sha256": "6400cda738a3e66cd2d428ac3bb9c5e75f6204746aeefde9a51e6a770d7acd6b",
-      "bytes": 61846,
-      "rows": 14,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21746",
     "deepseek:thm_21748",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021747.lean\",\"83c85116fe8adfc2cf07c46a4a16b9c6afaeebffb744e9e35442422af0e674f9\",0,\"thm_21793\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021748.lean\",\"1ae1c761318b95d4ff4b4dfee8dc3862161feb14f882bf38e3c0bf215ef35a61\",0,\"thm_21794\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021749.lean\",\"9054e4555784dc0c77caf812752284e8b304db1177d41003019149e54ac749dd\",0,\"thm_21795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315599,
+      "path": "data/train/p97/deepseek-000434-0000-6209810700e81181.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "6209810700e8118149c34300964dd72e8d27d5896aeec0e064d7d835385e652a"
+    },
+    {
+      "bytes": 38488,
+      "path": "data/dev/p97/deepseek-000434-0000-a40072024bd6791b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a40072024bd6791bdf038cc31a83f273900e4c00fc33b57746cfca21885edb4f"
+    },
+    {
+      "bytes": 61846,
+      "path": "data/internal_test/p97/deepseek-000434-0000-6400cda738a3e66c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6400cda738a3e66cd2d428ac3bb9c5e75f6204746aeefde9a51e6a770d7acd6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000435.json b/manifests/batches/deepseek/000435.json
index 97a9df44733f93d1bb25be5dd803e7dce2b4e868..a9eca3cd4c3547f714d94cd9f61c70a3d6476494 100644
--- a/manifests/batches/deepseek/000435.json
+++ b/manifests/batches/deepseek/000435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000435",
   "batch_fingerprint": "49a91aef5ee6d2a64bfc8aa8058ba5b4ee46d673b6328db82bc573a4b72b7e3e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000435-0000-70eae3edb3a52c90.parquet",
-      "sha256": "70eae3edb3a52c90bea27bda580fa3a960bec6672df682e3aed8075fffd35a04",
-      "bytes": 282280,
-      "rows": 89,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/deepseek-000435-0000-322c398bfcdc334a.parquet",
-      "sha256": "322c398bfcdc334a676ca8694524160b34a2dec6170ab6fb661f6d49a4ad79fc",
-      "bytes": 40221,
-      "rows": 8,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000435-0000-b5ea3d2f976cf219.parquet",
-      "sha256": "b5ea3d2f976cf219ce3a742922581dea06c9e98cd147f48086307849814b225a",
-      "bytes": 56068,
-      "rows": 14,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21796",
     "deepseek:thm_21797",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021797.lean\",\"aec8f646f149551b9b9adc709e5aa0e33036a78d29dfb1d41840d6283e8d50bc\",0,\"thm_21843\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021798.lean\",\"0af952234007904f1563356c601fc7ca34ac2261635a90dfcc0fc08c2b3c0304\",0,\"thm_21844\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021799.lean\",\"ea864ecf498fd1fd019755de516ea61cec78d808d9604ef4a8ddc0582f5d1961\",0,\"thm_21845\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 282280,
+      "path": "data/train/pd4/deepseek-000435-0000-70eae3edb3a52c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "70eae3edb3a52c90bea27bda580fa3a960bec6672df682e3aed8075fffd35a04"
+    },
+    {
+      "bytes": 40221,
+      "path": "data/dev/pd4/deepseek-000435-0000-322c398bfcdc334a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "322c398bfcdc334a676ca8694524160b34a2dec6170ab6fb661f6d49a4ad79fc"
+    },
+    {
+      "bytes": 56068,
+      "path": "data/internal_test/pd4/deepseek-000435-0000-b5ea3d2f976cf219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b5ea3d2f976cf219ce3a742922581dea06c9e98cd147f48086307849814b225a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000436.json b/manifests/batches/deepseek/000436.json
index 2c5308efd4b680ac91027424aca927c7b382dbe4..32e135a8ea1b81ca525d8dd56b8cba57bccea1ac 100644
--- a/manifests/batches/deepseek/000436.json
+++ b/manifests/batches/deepseek/000436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000436",
   "batch_fingerprint": "f5acf3e77949ff07a622cfa5de369d08e31a8bb0cfb1238e7755cfe438da64cb",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000436-0000-c73b56067b147a65.parquet",
-      "sha256": "c73b56067b147a654aafb8d0fbe8e290ad1008dcd0026e137d661f2185db705b",
-      "bytes": 317188,
-      "rows": 95,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/deepseek-000436-0000-660c3d54c7aa7bb3.parquet",
-      "sha256": "660c3d54c7aa7bb3e77542c8b6a8860e542fe037f9a3c1e624770d8e8c8b9bd7",
-      "bytes": 63809,
-      "rows": 10,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000436-0000-2fb706f2732b43a7.parquet",
-      "sha256": "2fb706f2732b43a7be06bcda3c08b980bb49bddb1fc8e657249ea562d2100869",
-      "bytes": 40524,
-      "rows": 6,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21846",
     "deepseek:thm_21847",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021847.lean\",\"8b97934350f666477016ede59da7f3aebcd520fbdde857664f780cc43a652a7c\",0,\"thm_21893\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021848.lean\",\"6e94a6cf36f1d6cf1f7f77392788ae1bd15dc1e6c02a99b6d764bb25aab9972a\",0,\"thm_21894\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021849.lean\",\"234ad752add231c01e5846eff4e64b5a969019a10b5efdc893199074588815ae\",0,\"thm_21895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317188,
+      "path": "data/train/p94/deepseek-000436-0000-c73b56067b147a65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 95,
+      "sha256": "c73b56067b147a654aafb8d0fbe8e290ad1008dcd0026e137d661f2185db705b"
+    },
+    {
+      "bytes": 63809,
+      "path": "data/dev/p94/deepseek-000436-0000-660c3d54c7aa7bb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "660c3d54c7aa7bb3e77542c8b6a8860e542fe037f9a3c1e624770d8e8c8b9bd7"
+    },
+    {
+      "bytes": 40524,
+      "path": "data/internal_test/p94/deepseek-000436-0000-2fb706f2732b43a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2fb706f2732b43a7be06bcda3c08b980bb49bddb1fc8e657249ea562d2100869"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000437.json b/manifests/batches/deepseek/000437.json
index bbb71e329b56156dbe061d37272bb66e4c366a42..0dcb003209a6684e9201f63a6a96bb681e019297 100644
--- a/manifests/batches/deepseek/000437.json
+++ b/manifests/batches/deepseek/000437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000437",
   "batch_fingerprint": "dc5a76dba8a4e19a7cadf129f84f897187e0e8ab5e35216dc061314afbaa8a2f",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000437-0000-6cf27af441d1e7af.parquet",
-      "sha256": "6cf27af441d1e7afebdae20d1fb5fc77613308d5a5a7230d851625aac04bd7fa",
-      "bytes": 755625,
-      "rows": 113,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/deepseek-000437-0000-5e4447a8762dc935.parquet",
-      "sha256": "5e4447a8762dc935760e18721c7eaef0b41ca80f8ad6976c7f0ba361f1745359",
-      "bytes": 51671,
-      "rows": 8,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000437-0000-6bb97dc0609516e0.parquet",
-      "sha256": "6bb97dc0609516e0d9cf42aca0456429b2fbcccb9f5f6988ace55b116a6bf2e7",
-      "bytes": 56870,
-      "rows": 11,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21896",
     "deepseek:thm_21897",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021897.lean\",\"c39e55c9a9ee08f8daf506e19dfa493d347b509a99f7cb9130bff0fe92ed9283\",0,\"thm_21943\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021898.lean\",\"037e6d8aafc238be7c7171111feb15fa2a6ed5285b81312e5fffa93978dc0d30\",0,\"thm_21944\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021899.lean\",\"9727874b917fdbc7c6059369044454183f18fe22b510b0bc12070379ef06b3a5\",0,\"thm_21945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 755625,
+      "path": "data/train/p5e/deepseek-000437-0000-6cf27af441d1e7af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "6cf27af441d1e7afebdae20d1fb5fc77613308d5a5a7230d851625aac04bd7fa"
+    },
+    {
+      "bytes": 51671,
+      "path": "data/dev/p5e/deepseek-000437-0000-5e4447a8762dc935.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5e4447a8762dc935760e18721c7eaef0b41ca80f8ad6976c7f0ba361f1745359"
+    },
+    {
+      "bytes": 56870,
+      "path": "data/internal_test/p5e/deepseek-000437-0000-6bb97dc0609516e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6bb97dc0609516e0d9cf42aca0456429b2fbcccb9f5f6988ace55b116a6bf2e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000438.json b/manifests/batches/deepseek/000438.json
index 48622636f9d49821b529f61be6409d69b0e8d712..35c8901605de8d0ce0f5b22e9a73244b44e5bcc6 100644
--- a/manifests/batches/deepseek/000438.json
+++ b/manifests/batches/deepseek/000438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000438",
   "batch_fingerprint": "e808d724809246255246badc32d6ef1aed33c274feda7568306b322c55b5766a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000438-0000-02bb84e1b7a9d3e9.parquet",
-      "sha256": "02bb84e1b7a9d3e99bbe996ec10e6afc5bd3ebe933e28875cc49c1d8293635ab",
-      "bytes": 302129,
-      "rows": 92,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/deepseek-000438-0000-0408307157979a75.parquet",
-      "sha256": "0408307157979a75e2f371e06eebd6a7a77c9306011ba844b43100cab3b2e974",
-      "bytes": 41643,
-      "rows": 7,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000438-0000-e847885ab394b92d.parquet",
-      "sha256": "e847885ab394b92d2693adb54f8702aff40f0f66e0a65722423cbe084ce1624f",
-      "bytes": 59821,
-      "rows": 14,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21946",
     "deepseek:thm_21947",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021947.lean\",\"ceca4fd4189fb6e5c6c2224bd67afe8f049240a00b6633b6d3a128d44acbaf1e\",0,\"thm_21994\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021948.lean\",\"41438737337aeb6d07c94b760b0580dfbe850bbe42d008ab0538fcf06bb7cf8a\",0,\"thm_21995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021949.lean\",\"521492dbb8ada76c0b346119c00f0d31efef48576aa9b252de46baa04b89d420\",0,\"thm_21996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302129,
+      "path": "data/train/p34/deepseek-000438-0000-02bb84e1b7a9d3e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "02bb84e1b7a9d3e99bbe996ec10e6afc5bd3ebe933e28875cc49c1d8293635ab"
+    },
+    {
+      "bytes": 41643,
+      "path": "data/dev/p34/deepseek-000438-0000-0408307157979a75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0408307157979a75e2f371e06eebd6a7a77c9306011ba844b43100cab3b2e974"
+    },
+    {
+      "bytes": 59821,
+      "path": "data/internal_test/p34/deepseek-000438-0000-e847885ab394b92d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e847885ab394b92d2693adb54f8702aff40f0f66e0a65722423cbe084ce1624f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000439.json b/manifests/batches/deepseek/000439.json
index 7ea00a39f4b5986b23f18f1d83867edd04085693..258c1f2e4f907f886216c7058cb2c3bb1754d215 100644
--- a/manifests/batches/deepseek/000439.json
+++ b/manifests/batches/deepseek/000439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000439",
   "batch_fingerprint": "9de25f84677e7fbe2e872a156d7995c961c40ac99985ee7daf2b6ff33c67ef2e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000439-0000-f7d3378e858523ba.parquet",
-      "sha256": "f7d3378e858523ba98ff1a5f16be32ad832627ed0061796eb266b5ef56003b4e",
-      "bytes": 278011,
-      "rows": 94,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/deepseek-000439-0000-04d8625b667cf9a0.parquet",
-      "sha256": "04d8625b667cf9a06babf7b6fd7edb6bbf68196bf329b935796344d20c8ee1ee",
-      "bytes": 38105,
-      "rows": 6,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/deepseek-000439-0000-d324b61b468fa41d.parquet",
-      "sha256": "d324b61b468fa41dbc39c92203e814a775d2c309916329125118327a50b1efeb",
-      "bytes": 72706,
-      "rows": 17,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_21997",
     "deepseek:thm_21998",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021997.lean\",\"b1a9d2f5edca8654b578deee67717c00df2ba1b91dac36c371f7ab29911c40fe\",0,\"thm_22044\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021998.lean\",\"a19559a0f7004de8cf981734d1666d1ac4babd4a778578cdc68f4baa8280430a\",0,\"thm_22045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021999.lean\",\"51a0884f9f98911d7a09bbd5a0f45d5985202744b822d637b125d35b800605ae\",0,\"thm_22046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278011,
+      "path": "data/train/p7f/deepseek-000439-0000-f7d3378e858523ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "f7d3378e858523ba98ff1a5f16be32ad832627ed0061796eb266b5ef56003b4e"
+    },
+    {
+      "bytes": 38105,
+      "path": "data/dev/p7f/deepseek-000439-0000-04d8625b667cf9a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "04d8625b667cf9a06babf7b6fd7edb6bbf68196bf329b935796344d20c8ee1ee"
+    },
+    {
+      "bytes": 72706,
+      "path": "data/internal_test/p7f/deepseek-000439-0000-d324b61b468fa41d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d324b61b468fa41dbc39c92203e814a775d2c309916329125118327a50b1efeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000440.json b/manifests/batches/deepseek/000440.json
index bed26d8bc3c65c53b9f28f6f40ebbbef2ce8f6b9..870ca2a784cedb361c9770dd7ea850354d0b3326 100644
--- a/manifests/batches/deepseek/000440.json
+++ b/manifests/batches/deepseek/000440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000440",
   "batch_fingerprint": "cf16bc5e42c06905551c333d2d41adb83a14125d50a19a2fb83ddf351dbee6ca",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000440-0000-ce7ce694497612d7.parquet",
-      "sha256": "ce7ce694497612d70e4116cb034c615c1a6507bbb6e2132956b42b7e67301684",
-      "bytes": 342795,
-      "rows": 101,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/deepseek-000440-0000-7e6cbb1052211841.parquet",
-      "sha256": "7e6cbb1052211841944aaf00b6d816e7d669223e529041c2c1a3f5cf707cc099",
-      "bytes": 50598,
-      "rows": 2,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000440-0000-6d6082baeeffa64f.parquet",
-      "sha256": "6d6082baeeffa64fee79dcb1e57713a303f4bd127cf088fac6efa8846bfb5b4d",
-      "bytes": 60622,
-      "rows": 16,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22047",
     "deepseek:thm_22048",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022047.lean\",\"6c4ad3584858fa01790210b0a76de5dbf06199f53e21472f5777c10d3c8da689\",0,\"thm_22094\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022048.lean\",\"bb9f40474f8653a7cbe6a4f043c0a9c53a252c30794a0ae90dc6ca8525755e77\",0,\"thm_22095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022049.lean\",\"a6128a647a7fe84b3eb2515bfc3ffdf08d9e38a3f434c19d181214fd3dd45016\",0,\"thm_22096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342795,
+      "path": "data/train/pa5/deepseek-000440-0000-ce7ce694497612d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "ce7ce694497612d70e4116cb034c615c1a6507bbb6e2132956b42b7e67301684"
+    },
+    {
+      "bytes": 50598,
+      "path": "data/dev/pa5/deepseek-000440-0000-7e6cbb1052211841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7e6cbb1052211841944aaf00b6d816e7d669223e529041c2c1a3f5cf707cc099"
+    },
+    {
+      "bytes": 60622,
+      "path": "data/internal_test/pa5/deepseek-000440-0000-6d6082baeeffa64f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6d6082baeeffa64fee79dcb1e57713a303f4bd127cf088fac6efa8846bfb5b4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000441.json b/manifests/batches/deepseek/000441.json
index 3b52d22fa29d2d500a575280ab1fcbf565f435ed..6ef40a75c3ec7ec3dbbc56fed23fe13079ceff15 100644
--- a/manifests/batches/deepseek/000441.json
+++ b/manifests/batches/deepseek/000441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000441",
   "batch_fingerprint": "1a766a3c40554891fa5c976de692aeda580050f73f5a66c53466ccf318919cad",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000441-0000-e3185ded9c2e25be.parquet",
-      "sha256": "e3185ded9c2e25becf5288c31b7db361dfffe33f03b5720b93ab7ac544fd682e",
-      "bytes": 268108,
-      "rows": 86,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/deepseek-000441-0000-61618b40b6a74746.parquet",
-      "sha256": "61618b40b6a74746fdacd6c7aed9a20a6630e8da40fb3130006b4ec33ebf4d0f",
-      "bytes": 73922,
-      "rows": 14,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/deepseek-000441-0000-389dad27792e3304.parquet",
-      "sha256": "389dad27792e3304928c9e447aab73e6d208efd83b66ef3259caf2fc75c76f90",
-      "bytes": 60889,
-      "rows": 20,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22097",
     "deepseek:thm_22098",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022097.lean\",\"10176023a0ecc875e39cbbb3fd49b23a720dc5221f85b62fbc8123e87f8551d1\",0,\"thm_22144\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022098.lean\",\"8d46e2d130b7c7934a1facb5668a32e93996e2d67e7b7284e6275b49f0ce184f\",0,\"thm_22145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022099.lean\",\"13d21afcbbcdf12790f1c1863a68bcc774de00667b7e1c538080682ad42c490c\",0,\"thm_22146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268108,
+      "path": "data/train/p5a/deepseek-000441-0000-e3185ded9c2e25be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "e3185ded9c2e25becf5288c31b7db361dfffe33f03b5720b93ab7ac544fd682e"
+    },
+    {
+      "bytes": 73922,
+      "path": "data/dev/p5a/deepseek-000441-0000-61618b40b6a74746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "61618b40b6a74746fdacd6c7aed9a20a6630e8da40fb3130006b4ec33ebf4d0f"
+    },
+    {
+      "bytes": 60889,
+      "path": "data/internal_test/p5a/deepseek-000441-0000-389dad27792e3304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "389dad27792e3304928c9e447aab73e6d208efd83b66ef3259caf2fc75c76f90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000442.json b/manifests/batches/deepseek/000442.json
index b43808398a15fadbbfa41e9f3b852162383f62b5..cebb578e7ba41472d5cc92fbbe954ea420672cad 100644
--- a/manifests/batches/deepseek/000442.json
+++ b/manifests/batches/deepseek/000442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000442",
   "batch_fingerprint": "bf9881559d3873f84450f9db8db36e53d95aa068cf7eb9e90974ef14f083bfc9",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000442-0000-c2819fa577349b2f.parquet",
-      "sha256": "c2819fa577349b2f803cca8997216348cb0c173d5b853ea60247b79dea541017",
-      "bytes": 333064,
-      "rows": 100,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    },
-    {
-      "path": "data/dev/deepseek-000442-0000-46d135f890eb55da.parquet",
-      "sha256": "46d135f890eb55daf015e25d8a5a979b72041b3960354592acc0b438307887e5",
-      "bytes": 46271,
-      "rows": 12,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    },
-    {
-      "path": "data/internal_test/deepseek-000442-0000-e69b44990267ed8a.parquet",
-      "sha256": "e69b44990267ed8af217e1cd6732ee6323fb2ffaaa0b220c8e1df455ab485d27",
-      "bytes": 36026,
-      "rows": 5,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22147",
     "deepseek:thm_22148",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022147.lean\",\"6fb87266191ec3cc2e6bd657196ac3d93b855803067d81484c6a046b098e238e\",0,\"thm_22194\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022148.lean\",\"6b693282822be1a1ad8e2996d26f01d74ee319b289b345e4b04841e3835c4ec4\",0,\"thm_22195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022149.lean\",\"0687f848536c1d733f40f7379e565a9a668230448126cbb0e8e9e14ba8591a6c\",0,\"thm_22196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333064,
+      "path": "data/train/p5c/deepseek-000442-0000-c2819fa577349b2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "c2819fa577349b2f803cca8997216348cb0c173d5b853ea60247b79dea541017"
+    },
+    {
+      "bytes": 46271,
+      "path": "data/dev/p5c/deepseek-000442-0000-46d135f890eb55da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "46d135f890eb55daf015e25d8a5a979b72041b3960354592acc0b438307887e5"
+    },
+    {
+      "bytes": 36026,
+      "path": "data/internal_test/p5c/deepseek-000442-0000-e69b44990267ed8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e69b44990267ed8af217e1cd6732ee6323fb2ffaaa0b220c8e1df455ab485d27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000443.json b/manifests/batches/deepseek/000443.json
index 92fc041b222637a1c78e72ac2e8f0662301c543d..41a7e17576383c03c57a0e58b0081966139a607b 100644
--- a/manifests/batches/deepseek/000443.json
+++ b/manifests/batches/deepseek/000443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000443",
   "batch_fingerprint": "32c3482bfe381af548809efd21f2f378edc6ab08eccd0a1be6646fa9a6e3e672",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000443-0000-4ed960037c94ebd8.parquet",
-      "sha256": "4ed960037c94ebd8f16a006e2dc413e41194e52742d577b47bec20ac77ff9ea7",
-      "bytes": 250931,
-      "rows": 90,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/deepseek-000443-0000-73b51af95cec7ca8.parquet",
-      "sha256": "73b51af95cec7ca84d0c083bcd04d840f2c5e9f2eadd950beee99a9784f56673",
-      "bytes": 34764,
-      "rows": 6,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/deepseek-000443-0000-bbee09d1ec24484a.parquet",
-      "sha256": "bbee09d1ec24484a01fc7b2e90f9fd443a5923bee112baa8e1707ef22bfa0c07",
-      "bytes": 61790,
-      "rows": 12,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22197",
     "deepseek:thm_22198",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022197.lean\",\"1758f9ddb62c2f616442ae23926e1a35ebc64fd3e3d0b14c948c0137aa5da8b9\",0,\"thm_22244\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022198.lean\",\"47f69305fc536af67995590ef1722820c70dabd63926768dc922bf8c86350489\",0,\"thm_22245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022199.lean\",\"f69c7aa425c4ee0aa168d4111f1f5d69fa011302f61c12a50668cf8eea424e1f\",0,\"thm_22246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250931,
+      "path": "data/train/pfb/deepseek-000443-0000-4ed960037c94ebd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "4ed960037c94ebd8f16a006e2dc413e41194e52742d577b47bec20ac77ff9ea7"
+    },
+    {
+      "bytes": 34764,
+      "path": "data/dev/pfb/deepseek-000443-0000-73b51af95cec7ca8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "73b51af95cec7ca84d0c083bcd04d840f2c5e9f2eadd950beee99a9784f56673"
+    },
+    {
+      "bytes": 61790,
+      "path": "data/internal_test/pfb/deepseek-000443-0000-bbee09d1ec24484a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bbee09d1ec24484a01fc7b2e90f9fd443a5923bee112baa8e1707ef22bfa0c07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000444.json b/manifests/batches/deepseek/000444.json
index 48c3e56e3d9a05b3077696f36130eb5890f1afa9..76c461e5fa048813c510c7118e72191c4fc14e26 100644
--- a/manifests/batches/deepseek/000444.json
+++ b/manifests/batches/deepseek/000444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000444",
   "batch_fingerprint": "eb0ebe39664b53f4f3ad9406f8a5c3bb47057eaa06d8750836bcd9ff8fff2a6b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000444-0000-b84a1d731a5f4ced.parquet",
-      "sha256": "b84a1d731a5f4ced35ac07a1398f6561646fb225415d80d0ebffe21b4dbbc258",
-      "bytes": 309247,
-      "rows": 101,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/deepseek-000444-0000-6d26bf64a874f318.parquet",
-      "sha256": "6d26bf64a874f3180e7211ec49e71b78019474376966dd1cf61a003122c21233",
-      "bytes": 29812,
-      "rows": 3,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/deepseek-000444-0000-2c885fd94e00cdfe.parquet",
-      "sha256": "2c885fd94e00cdfed0a7c447d7abb45a9d634ab8970fb47a33551fab8efae3d1",
-      "bytes": 59696,
-      "rows": 15,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22247",
     "deepseek:thm_22248",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022247.lean\",\"2e169dd90a0af46922746719df774fd786f90c8ee725c4d8f8afe1099d96d625\",0,\"thm_22294\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022248.lean\",\"d373175c29a18e61d0bed15261df6a92bdfd6a7ee204e5f1625fa2452aefdfd4\",0,\"thm_22295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022249.lean\",\"fb02251f45a8941ca84bf13762d947adf702d391adaa011b422af33866a6de26\",0,\"thm_22296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309247,
+      "path": "data/train/p15/deepseek-000444-0000-b84a1d731a5f4ced.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "b84a1d731a5f4ced35ac07a1398f6561646fb225415d80d0ebffe21b4dbbc258"
+    },
+    {
+      "bytes": 29812,
+      "path": "data/dev/p15/deepseek-000444-0000-6d26bf64a874f318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6d26bf64a874f3180e7211ec49e71b78019474376966dd1cf61a003122c21233"
+    },
+    {
+      "bytes": 59696,
+      "path": "data/internal_test/p15/deepseek-000444-0000-2c885fd94e00cdfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2c885fd94e00cdfed0a7c447d7abb45a9d634ab8970fb47a33551fab8efae3d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000445.json b/manifests/batches/deepseek/000445.json
index 27867a41ae86517b68355bb8572059f35dbb7fbf..bdacf8f1b0cf0529dec7286cbed26c21edef2b6c 100644
--- a/manifests/batches/deepseek/000445.json
+++ b/manifests/batches/deepseek/000445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000445",
   "batch_fingerprint": "f7ba1d3f0377db1fb78b19c520324e51fe87d3be3d3441666652586defbb9f75",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000445-0000-3987b30aab7f9bb6.parquet",
-      "sha256": "3987b30aab7f9bb6d84e6089197c3e03282e5629722f3b1abbd539ba989d8c38",
-      "bytes": 271058,
-      "rows": 90,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/deepseek-000445-0000-de50b3eb67cc9206.parquet",
-      "sha256": "de50b3eb67cc9206c9f1c50ea5abe8323c957152f21a9eef814cf0fc6b4a506d",
-      "bytes": 27768,
-      "rows": 3,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/deepseek-000445-0000-de71eae64e00e71d.parquet",
-      "sha256": "de71eae64e00e71d48a28b304077e63c70be60fa0af31b3cb02dfb23961f4ff8",
-      "bytes": 54888,
-      "rows": 14,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22297",
     "deepseek:thm_22298",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022297.lean\",\"baa417307955de41bcbd61f3c1bb6f4e061cd81fc63a95b4f463a48514ff6ad3\",0,\"thm_22344\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022298.lean\",\"d501be440713701626563661be50c5fb1f976a4928c1d903a217668afedfdfc4\",0,\"thm_22345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022299.lean\",\"30581a7f3e4b43c234c82fa75b4b20035e74b97e62479c926f69a86f29c593ad\",0,\"thm_22346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271058,
+      "path": "data/train/pd0/deepseek-000445-0000-3987b30aab7f9bb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "3987b30aab7f9bb6d84e6089197c3e03282e5629722f3b1abbd539ba989d8c38"
+    },
+    {
+      "bytes": 27768,
+      "path": "data/dev/pd0/deepseek-000445-0000-de50b3eb67cc9206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "de50b3eb67cc9206c9f1c50ea5abe8323c957152f21a9eef814cf0fc6b4a506d"
+    },
+    {
+      "bytes": 54888,
+      "path": "data/internal_test/pd0/deepseek-000445-0000-de71eae64e00e71d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "de71eae64e00e71d48a28b304077e63c70be60fa0af31b3cb02dfb23961f4ff8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000446.json b/manifests/batches/deepseek/000446.json
index de328aaac0e198061f67fcb21fc22c47adc65062..fa693ea776fdb6da4336672b1435d07e230ddd04 100644
--- a/manifests/batches/deepseek/000446.json
+++ b/manifests/batches/deepseek/000446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000446",
   "batch_fingerprint": "675699943335c2de6f16abbc55131fcbda05ac4d787381f4ae4305c7104cd634",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000446-0000-5bab6631dd0ec083.parquet",
-      "sha256": "5bab6631dd0ec083ea6e79bd6fbcb7fa3ee343f12f050168acde81f0dc8515ed",
-      "bytes": 272876,
-      "rows": 90,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/deepseek-000446-0000-340ffa264c70e1c8.parquet",
-      "sha256": "340ffa264c70e1c8703859b52dd2fd231d16f04853724e7f77d868e98d3a913a",
-      "bytes": 43727,
-      "rows": 6,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/deepseek-000446-0000-de57e2751a57526c.parquet",
-      "sha256": "de57e2751a57526cffdd11508992c7ef9cf6d43ca34fd592e633aded8457e383",
-      "bytes": 67959,
-      "rows": 18,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22347",
     "deepseek:thm_22348",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022347.lean\",\"0cf0dddb2693c584d0c5735041a77ee10cd1c1e827c5b0c31909cfd47fcd9cc7\",0,\"thm_22394\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022348.lean\",\"993cfe515df055ffc9cfe155d357bcde8e7a61d76d984e6c1f6883398091c038\",0,\"thm_22395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022349.lean\",\"d99142d4e315d6993305c403deba2888ae9ef5de71d96d77d9680e4a37c8dacb\",0,\"thm_22396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272876,
+      "path": "data/train/p62/deepseek-000446-0000-5bab6631dd0ec083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "5bab6631dd0ec083ea6e79bd6fbcb7fa3ee343f12f050168acde81f0dc8515ed"
+    },
+    {
+      "bytes": 43727,
+      "path": "data/dev/p62/deepseek-000446-0000-340ffa264c70e1c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "340ffa264c70e1c8703859b52dd2fd231d16f04853724e7f77d868e98d3a913a"
+    },
+    {
+      "bytes": 67959,
+      "path": "data/internal_test/p62/deepseek-000446-0000-de57e2751a57526c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "de57e2751a57526cffdd11508992c7ef9cf6d43ca34fd592e633aded8457e383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000447.json b/manifests/batches/deepseek/000447.json
index 8b1b03e3bfb3851818a0e29ea5d0ab856bc8f3e1..d5a83519c1782c3ed8bd128a75860d637de2b095 100644
--- a/manifests/batches/deepseek/000447.json
+++ b/manifests/batches/deepseek/000447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000447",
   "batch_fingerprint": "fe58776de4b8a43fec4bf7f0c17008df5d713beb3e367173894eeb4fab67ca29",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000447-0000-2fa7277e1516a8c8.parquet",
-      "sha256": "2fa7277e1516a8c8ee2ccca8442400c3f8c8d61cad3dd0ce99d52979cdb6dae2",
-      "bytes": 304416,
-      "rows": 93,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/deepseek-000447-0000-243e1d5b58c748e1.parquet",
-      "sha256": "243e1d5b58c748e1d5331d5d39c64d840557d516a03e7748274f3d365c9ab715",
-      "bytes": 57578,
-      "rows": 7,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/deepseek-000447-0000-08507256ba610471.parquet",
-      "sha256": "08507256ba6104716afddfc869ecf471193c109658354ba24f0193e1e3ed1edc",
-      "bytes": 39675,
-      "rows": 10,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22397",
     "deepseek:thm_22398",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022397.lean\",\"94bfecdf55afb57cffdec5e088b9e300a719eca37f736ae8cf3e46cbcbbdd672\",0,\"thm_22444\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022398.lean\",\"bbf9d5baea34e042bf1d5bdd4d8b5291f45e1e30bac3735d458bd77e9e399221\",0,\"thm_22445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022399.lean\",\"5221389a38881b8c5fa97d3aad7673a317f43c0911a35220774538ae54fc834b\",0,\"thm_22446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304416,
+      "path": "data/train/pf8/deepseek-000447-0000-2fa7277e1516a8c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "2fa7277e1516a8c8ee2ccca8442400c3f8c8d61cad3dd0ce99d52979cdb6dae2"
+    },
+    {
+      "bytes": 57578,
+      "path": "data/dev/pf8/deepseek-000447-0000-243e1d5b58c748e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "243e1d5b58c748e1d5331d5d39c64d840557d516a03e7748274f3d365c9ab715"
+    },
+    {
+      "bytes": 39675,
+      "path": "data/internal_test/pf8/deepseek-000447-0000-08507256ba610471.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "08507256ba6104716afddfc869ecf471193c109658354ba24f0193e1e3ed1edc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000448.json b/manifests/batches/deepseek/000448.json
index 0c887fd4be1f0f5ebce0dfb012dbb7b47d2701c5..0a282995d74f91ef3adce9822fa5d055dedcfd94 100644
--- a/manifests/batches/deepseek/000448.json
+++ b/manifests/batches/deepseek/000448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000448",
   "batch_fingerprint": "fe1242726226e70140b1cc56d95ea0405caa6af18f119abb21c78badfa10dd35",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000448-0000-5873283a525d1216.parquet",
-      "sha256": "5873283a525d12164e8870415e268f2143b4e68459614eacbb4bb93045eae82b",
-      "bytes": 359523,
-      "rows": 110,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/deepseek-000448-0000-5e3f43a9511e4864.parquet",
-      "sha256": "5e3f43a9511e486484245a412b84f1bcd38b2f4b7911ca91601255d620ad4770",
-      "bytes": 36288,
-      "rows": 7,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/deepseek-000448-0000-f623f97dd5fc73c7.parquet",
-      "sha256": "f623f97dd5fc73c7436007cf124997bfb5074349c49cfedf6218000fe9b104d3",
-      "bytes": 37309,
-      "rows": 8,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22447",
     "deepseek:thm_22448",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022447.lean\",\"1ce04cf751f63e754be6fd369a9b897c2d0358d87b8d8eb8397ff91d2f2083be\",0,\"thm_22494\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022448.lean\",\"d596f9c08ab127f0834fd76cab460aee83765cec3fe526e76186ca652f52ad39\",0,\"thm_22495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022449.lean\",\"8247643043bd4c6dea6c82d81dd4c19f762d845e6815a4f67a2c804f63d06b94\",0,\"thm_22496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359523,
+      "path": "data/train/pe4/deepseek-000448-0000-5873283a525d1216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "5873283a525d12164e8870415e268f2143b4e68459614eacbb4bb93045eae82b"
+    },
+    {
+      "bytes": 36288,
+      "path": "data/dev/pe4/deepseek-000448-0000-5e3f43a9511e4864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5e3f43a9511e486484245a412b84f1bcd38b2f4b7911ca91601255d620ad4770"
+    },
+    {
+      "bytes": 37309,
+      "path": "data/internal_test/pe4/deepseek-000448-0000-f623f97dd5fc73c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f623f97dd5fc73c7436007cf124997bfb5074349c49cfedf6218000fe9b104d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000449.json b/manifests/batches/deepseek/000449.json
index 269cead1a0c9da9d5e9d0bff1e41166ded9773f5..85e459a744f0304be6799540e56ac92c24b5b617 100644
--- a/manifests/batches/deepseek/000449.json
+++ b/manifests/batches/deepseek/000449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000449",
   "batch_fingerprint": "572cee72d1f60c2bd7a2463aebae8cf9e3a03567a2ad50a08459c0d3af08c2e2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000449-0000-f6c6919524bc2eeb.parquet",
-      "sha256": "f6c6919524bc2eeb7d848c76614b233ad293b37ee7552748a1df902cfcc226f8",
-      "bytes": 283333,
-      "rows": 93,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/deepseek-000449-0000-2506a2985e09a38c.parquet",
-      "sha256": "2506a2985e09a38c6077c15ca9ba3731b7a1a787b6d990c27dfac11656092423",
-      "bytes": 33499,
-      "rows": 5,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/deepseek-000449-0000-b7e3dc971e778b23.parquet",
-      "sha256": "b7e3dc971e778b23a2c0f60657c72c4c967886b4062afeff30dd47b0405b31c9",
-      "bytes": 65359,
-      "rows": 13,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22497",
     "deepseek:thm_22498",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022497.lean\",\"ab5ccf01668b77bf00a1a5bb14531233da1d097c90e3c008b0ade77e2ec17822\",0,\"thm_22544\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022498.lean\",\"63c523ff8fa7a1ff031b96de48f955f0e0fb25e88e3730e4645ae0e08d9b9067\",0,\"thm_22545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022499.lean\",\"067539c5da75b40fed4fa21ee893cc077ec7fa1d8aec3a9a4184123806f25cbd\",0,\"thm_22546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283333,
+      "path": "data/train/p43/deepseek-000449-0000-f6c6919524bc2eeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "f6c6919524bc2eeb7d848c76614b233ad293b37ee7552748a1df902cfcc226f8"
+    },
+    {
+      "bytes": 33499,
+      "path": "data/dev/p43/deepseek-000449-0000-2506a2985e09a38c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2506a2985e09a38c6077c15ca9ba3731b7a1a787b6d990c27dfac11656092423"
+    },
+    {
+      "bytes": 65359,
+      "path": "data/internal_test/p43/deepseek-000449-0000-b7e3dc971e778b23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b7e3dc971e778b23a2c0f60657c72c4c967886b4062afeff30dd47b0405b31c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000450.json b/manifests/batches/deepseek/000450.json
index 5524b68c87161a54c6d771fa5ce6b4e9e9e5b3a0..48116b27a73ece606056ca9fe8c05920bbfb9215 100644
--- a/manifests/batches/deepseek/000450.json
+++ b/manifests/batches/deepseek/000450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000450",
   "batch_fingerprint": "7421ceccee29f795e4582ac0013618c386b147cecf4b838433401781dc4506c5",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000450-0000-21c65ca5b2a0583f.parquet",
-      "sha256": "21c65ca5b2a0583fd8c1c7ac85d970ac63d7321fac54eb19f09594f27f3f6b1d",
-      "bytes": 357705,
-      "rows": 108,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/deepseek-000450-0000-d0a5f13017e5b0f3.parquet",
-      "sha256": "d0a5f13017e5b0f3140aca5c12cf97c4db96b5c6aee92264365094105048fff5",
-      "bytes": 29742,
-      "rows": 2,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/deepseek-000450-0000-dd0ba7426e34d35d.parquet",
-      "sha256": "dd0ba7426e34d35df3d3f1dc4cf6157e5cc722ab6202e924c5f493ce41031209",
-      "bytes": 65380,
-      "rows": 16,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22547",
     "deepseek:thm_22548",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022547.lean\",\"2ba55d4b42e6cdadd40008fc497f46e5b3659806178c8d6c2b42a2932bf770a8\",0,\"thm_22594\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022548.lean\",\"e864c81eac7ead903331666c44480904cae3224155126ffd60b4b9f08e99b49e\",0,\"thm_22595\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022549.lean\",\"7f4bc76512b7adec4230791931998d43a5bd768f1a2a49344cd8d8b3f7dc9a64\",0,\"thm_22596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357705,
+      "path": "data/train/pfc/deepseek-000450-0000-21c65ca5b2a0583f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "21c65ca5b2a0583fd8c1c7ac85d970ac63d7321fac54eb19f09594f27f3f6b1d"
+    },
+    {
+      "bytes": 29742,
+      "path": "data/dev/pfc/deepseek-000450-0000-d0a5f13017e5b0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d0a5f13017e5b0f3140aca5c12cf97c4db96b5c6aee92264365094105048fff5"
+    },
+    {
+      "bytes": 65380,
+      "path": "data/internal_test/pfc/deepseek-000450-0000-dd0ba7426e34d35d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "dd0ba7426e34d35df3d3f1dc4cf6157e5cc722ab6202e924c5f493ce41031209"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000451.json b/manifests/batches/deepseek/000451.json
index 04d282ce51f18470575330d4b4ddedc641000c73..67b771bedde3dc09a72530db94121448e937af26 100644
--- a/manifests/batches/deepseek/000451.json
+++ b/manifests/batches/deepseek/000451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000451",
   "batch_fingerprint": "ee69b48a0a155106e1dd93456dae42d41a18965d8227ac86c06cc5429dcfa0db",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000451-0000-4331f00c56600431.parquet",
-      "sha256": "4331f00c5660043194e6319979584e6c98ad40b35f1d835319fae8e870fe4c33",
-      "bytes": 335401,
-      "rows": 107,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000451-0000-7cd38a9c3f1affce.parquet",
-      "sha256": "7cd38a9c3f1affce72f83193ccb4b0cb5432723840ab5968bcc9a451eabe56a8",
-      "bytes": 27445,
-      "rows": 2,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000451-0000-58e654eedac36a15.parquet",
-      "sha256": "58e654eedac36a15db37cf814f38a51dcb5eb048c9d6d28a95c6dd7f92abc781",
-      "bytes": 59332,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22597",
     "deepseek:thm_22598",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022597.lean\",\"5496cd2a17575ed17dc9c7f0c71c1e96781380b47b370447178d7ffc1639b01e\",0,\"thm_22644\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022598.lean\",\"d48e78b42ce2a9f77ac4edbd0b926e535bed76f9367ce84356d15a126383d042\",0,\"thm_22645\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022599.lean\",\"0af0e68dc32bd4a2607d420e27fd8641241e13c40eda73a13ce146dbb1f56d91\",0,\"thm_22646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335401,
+      "path": "data/train/p03/deepseek-000451-0000-4331f00c56600431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "4331f00c5660043194e6319979584e6c98ad40b35f1d835319fae8e870fe4c33"
+    },
+    {
+      "bytes": 27445,
+      "path": "data/dev/p03/deepseek-000451-0000-7cd38a9c3f1affce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cd38a9c3f1affce72f83193ccb4b0cb5432723840ab5968bcc9a451eabe56a8"
+    },
+    {
+      "bytes": 59332,
+      "path": "data/internal_test/p03/deepseek-000451-0000-58e654eedac36a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "58e654eedac36a15db37cf814f38a51dcb5eb048c9d6d28a95c6dd7f92abc781"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000452.json b/manifests/batches/deepseek/000452.json
index 740729ad265f105e862415380db063b3247e3747..feea375aeba129252238362188f6a8d4313e2c76 100644
--- a/manifests/batches/deepseek/000452.json
+++ b/manifests/batches/deepseek/000452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000452",
   "batch_fingerprint": "9065dbac64d77ac9ad04bb0676a60013efacbb51d6f882a46fd9311e0aec6607",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000452-0000-c2159a8bcf9701d2.parquet",
-      "sha256": "c2159a8bcf9701d22ae17c77fb980cfa409f296e15f73b03fd56100e8f04f2ff",
-      "bytes": 294582,
-      "rows": 93,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000452-0000-a7532c79ef9aa8c0.parquet",
-      "sha256": "a7532c79ef9aa8c0921de76f9e55f22fcdce22a6bf7dd96db3b31d143176f7b4",
-      "bytes": 40031,
-      "rows": 7,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000452-0000-c7e218e764921938.parquet",
-      "sha256": "c7e218e7649219388f2caa843f786eff2e2c1a1f86128e9b03bb523db91ec072",
-      "bytes": 43933,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22647",
     "deepseek:thm_22648",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022647.lean\",\"d8ec497d7c255a186db56ee439ee27eedef7b38f370a80c10335b0e728dc8b5f\",0,\"thm_22694\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022648.lean\",\"8ada42389228dbb985837c9ab67fc76ee6c1fec3d2926c6a9721e017c752bf8a\",0,\"thm_22695\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022649.lean\",\"336d4d1bc283a669e6bcf7405c3da80cdfcdea4472a80e9a060149af9525f501\",0,\"thm_22696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294582,
+      "path": "data/train/p34/deepseek-000452-0000-c2159a8bcf9701d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "c2159a8bcf9701d22ae17c77fb980cfa409f296e15f73b03fd56100e8f04f2ff"
+    },
+    {
+      "bytes": 40031,
+      "path": "data/dev/p34/deepseek-000452-0000-a7532c79ef9aa8c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a7532c79ef9aa8c0921de76f9e55f22fcdce22a6bf7dd96db3b31d143176f7b4"
+    },
+    {
+      "bytes": 43933,
+      "path": "data/internal_test/p34/deepseek-000452-0000-c7e218e764921938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c7e218e7649219388f2caa843f786eff2e2c1a1f86128e9b03bb523db91ec072"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000453.json b/manifests/batches/deepseek/000453.json
index 9571048f584e962626fc6f9967df06a5160b9a13..04e193db8f3d34cb5a4f5cfd8a6b6edf84eb96a6 100644
--- a/manifests/batches/deepseek/000453.json
+++ b/manifests/batches/deepseek/000453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000453",
   "batch_fingerprint": "590435bf28400f8f23aadf1d0a06c4f63fbdd548c03a9606eaba33f49ee82b0a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000453-0000-77df0613e39c3065.parquet",
-      "sha256": "77df0613e39c306543e970593cc5de9d446403b149165233656920b6d4c6de70",
-      "bytes": 303344,
-      "rows": 99,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000453-0000-3a5ed471790a0828.parquet",
-      "sha256": "3a5ed471790a08285dbe924c68daaf86f75a81d89dd306546e183ccdcb088f43",
-      "bytes": 68022,
-      "rows": 15,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000453-0000-729e4c4d4e67013d.parquet",
-      "sha256": "729e4c4d4e67013d4dd7c047d7de048ab7dd7d711548e0b5691fcd117d191e05",
-      "bytes": 57670,
-      "rows": 9,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22697",
     "deepseek:thm_22698",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022697.lean\",\"4e44c4ca0f45a437bae00a3022b84837793dfd856359a65b23e220c3f04f5651\",0,\"thm_22744\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022698.lean\",\"9aec3fad0d8ed3f3dac05608aa2830459cc95d6838fa75a3ce5ec8c88d118b3d\",0,\"thm_22745\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022699.lean\",\"3b91e18d6a7823fb320607faf1b9a199287df8822b60e09b5f53a3f8edddccb9\",0,\"thm_22746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303344,
+      "path": "data/train/p84/deepseek-000453-0000-77df0613e39c3065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "77df0613e39c306543e970593cc5de9d446403b149165233656920b6d4c6de70"
+    },
+    {
+      "bytes": 68022,
+      "path": "data/dev/p84/deepseek-000453-0000-3a5ed471790a0828.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3a5ed471790a08285dbe924c68daaf86f75a81d89dd306546e183ccdcb088f43"
+    },
+    {
+      "bytes": 57670,
+      "path": "data/internal_test/p84/deepseek-000453-0000-729e4c4d4e67013d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "729e4c4d4e67013d4dd7c047d7de048ab7dd7d711548e0b5691fcd117d191e05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000454.json b/manifests/batches/deepseek/000454.json
index a09d8593ccc28971b30b1521df1552e633c5c7be..d35177f82040848a3d44e73e2963bebf50d133d1 100644
--- a/manifests/batches/deepseek/000454.json
+++ b/manifests/batches/deepseek/000454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000454",
   "batch_fingerprint": "b452fe6ff0cf6ae8685e8c0a5dc5e5506c604e7b56996e56ccc5c5cf0612f83a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000454-0000-cf307851d40b631c.parquet",
-      "sha256": "cf307851d40b631c469f80634f60e4a9d72b4b4c4627ba21fff9d2d8cbb1a8d5",
-      "bytes": 300203,
-      "rows": 91,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000454-0000-392284644f42df15.parquet",
-      "sha256": "392284644f42df1516ec10f217111220f301e39fd17a86e0c25d4c89ca8f04f8",
-      "bytes": 85250,
-      "rows": 23,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22747",
     "deepseek:thm_22748",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022747.lean\",\"f8684a0d5a170eea519cc717db93d569f57ed075b960d1328f72da12b3c8a35e\",0,\"thm_22794\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022748.lean\",\"d8dc9d1564bf18449c60c5a2e6737f3fa797f526f60b19ed79e46ade13dca325\",0,\"thm_22795\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022749.lean\",\"e32ce046cffd830e56f255d1f83f32e6acea8b7552954d4e6ba167f193c9dcd0\",0,\"thm_22796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300203,
+      "path": "data/train/p0f/deepseek-000454-0000-cf307851d40b631c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "cf307851d40b631c469f80634f60e4a9d72b4b4c4627ba21fff9d2d8cbb1a8d5"
+    },
+    {
+      "bytes": 85250,
+      "path": "data/internal_test/p0f/deepseek-000454-0000-392284644f42df15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "392284644f42df1516ec10f217111220f301e39fd17a86e0c25d4c89ca8f04f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000455.json b/manifests/batches/deepseek/000455.json
index 34b29b461a673637d2f51d366872729d37cf5f19..8e210b77f3f97f8d0e81ee670b7ceba187ab99ef 100644
--- a/manifests/batches/deepseek/000455.json
+++ b/manifests/batches/deepseek/000455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000455",
   "batch_fingerprint": "dec46a7449bd85fe3fd085b85fc02a4f85d6a2ef71778daac8984059534b2527",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000455-0000-11ad887f3f72cdd7.parquet",
-      "sha256": "11ad887f3f72cdd7305581e303bf5321c77c27c23064c5f0f71947b77945847f",
-      "bytes": 345294,
-      "rows": 112,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000455-0000-d82efde69c9f6c60.parquet",
-      "sha256": "d82efde69c9f6c60fe163cdd878444d201af976840e65c77ee4b2ff3e9499161",
-      "bytes": 39719,
-      "rows": 4,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000455-0000-bfecbdde8b01962b.parquet",
-      "sha256": "bfecbdde8b01962b6b2510256d97ba1d3df33a4a31a616fd6dd5cf831700e773",
-      "bytes": 58948,
-      "rows": 10,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22797",
     "deepseek:thm_22798",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022797.lean\",\"7a00419fc7e5a332d6e0786e69aa98ef217d061317c85fa37ca055ee4e97af1d\",0,\"thm_22844\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022798.lean\",\"a94516e6e6f286e375d41cf39b03274570797f411a5d031364adee832d561002\",0,\"thm_22845\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022799.lean\",\"64de73306f662b5295f8280ed0d3b7881c7c14b941f1a24c434e9b0042e8c948\",0,\"thm_22846\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345294,
+      "path": "data/train/pea/deepseek-000455-0000-11ad887f3f72cdd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "11ad887f3f72cdd7305581e303bf5321c77c27c23064c5f0f71947b77945847f"
+    },
+    {
+      "bytes": 39719,
+      "path": "data/dev/pea/deepseek-000455-0000-d82efde69c9f6c60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d82efde69c9f6c60fe163cdd878444d201af976840e65c77ee4b2ff3e9499161"
+    },
+    {
+      "bytes": 58948,
+      "path": "data/internal_test/pea/deepseek-000455-0000-bfecbdde8b01962b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bfecbdde8b01962b6b2510256d97ba1d3df33a4a31a616fd6dd5cf831700e773"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000456.json b/manifests/batches/deepseek/000456.json
index 6aa4467d6f2b72c35cec308c443065d6e04a1538..78be2565646af098108c3742c050d2c601fd5f80 100644
--- a/manifests/batches/deepseek/000456.json
+++ b/manifests/batches/deepseek/000456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000456",
   "batch_fingerprint": "5d17a6bf51ec78ffcf5241f108e950a5f3680def69702b947a223e0592f571c2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000456-0000-ca3d62fdaf15ee63.parquet",
-      "sha256": "ca3d62fdaf15ee632eca285320ea988eaa6c0e4315dffb7cb0b6330ef5054f44",
-      "bytes": 328267,
-      "rows": 111,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000456-0000-2b5463443d79ecc4.parquet",
-      "sha256": "2b5463443d79ecc43b1ead3adda5df4d7c5e07d6553cdc185e3760e34e435ef7",
-      "bytes": 38223,
-      "rows": 5,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000456-0000-ecaf4739bbc91db1.parquet",
-      "sha256": "ecaf4739bbc91db1f016be63e79b7a9378eca4226865afbdf5020c1f0d496da3",
-      "bytes": 41566,
-      "rows": 3,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22847",
     "deepseek:thm_22848",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022847.lean\",\"40304e34febb2102d4a764a21821008c68ff2abcd12079960af19207c13789da\",0,\"thm_22894\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022848.lean\",\"216c4cd386fbfc770eadb815f64f2626307256e0b7deaca18f1d09dd1001d334\",0,\"thm_22895\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022849.lean\",\"b38ec897ea25a148ef9d01c4479113636e701f12e54f5c06dabe61a1ab9aa179\",0,\"thm_22896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328267,
+      "path": "data/train/pec/deepseek-000456-0000-ca3d62fdaf15ee63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "ca3d62fdaf15ee632eca285320ea988eaa6c0e4315dffb7cb0b6330ef5054f44"
+    },
+    {
+      "bytes": 38223,
+      "path": "data/dev/pec/deepseek-000456-0000-2b5463443d79ecc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2b5463443d79ecc43b1ead3adda5df4d7c5e07d6553cdc185e3760e34e435ef7"
+    },
+    {
+      "bytes": 41566,
+      "path": "data/internal_test/pec/deepseek-000456-0000-ecaf4739bbc91db1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ecaf4739bbc91db1f016be63e79b7a9378eca4226865afbdf5020c1f0d496da3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000457.json b/manifests/batches/deepseek/000457.json
index 5a0325ac8aa9e9ad24c9434a77e2c623a46aaaa0..310c176949a93f61d511417b73d47d9a473f9fe8 100644
--- a/manifests/batches/deepseek/000457.json
+++ b/manifests/batches/deepseek/000457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000457",
   "batch_fingerprint": "0fbc7b5ebded487d324e833094bd23fea2fa97884b0ec2d7ae50067d6b466e11",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000457-0000-58d6d4fc1c4f5eab.parquet",
-      "sha256": "58d6d4fc1c4f5eab8a3b266f4d48a5454298e0dc4a389ce299f41604acf886ab",
-      "bytes": 317429,
-      "rows": 97,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000457-0000-51b943af026b34ae.parquet",
-      "sha256": "51b943af026b34ae547341f8de3c465b29048dfea179652ecca00c98a158f2d7",
-      "bytes": 59084,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000457-0000-4f4f289ae0b3a630.parquet",
-      "sha256": "4f4f289ae0b3a630b9a345c690a3ea8eb8b2c4e95d7e1fa5b8534be6d0a8a360",
-      "bytes": 48255,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22897",
     "deepseek:thm_22898",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022897.lean\",\"b3598b8ba1dcfb7e06f54f639464458561e4ac80738539199d47929580a3c2b5\",0,\"thm_22944\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022898.lean\",\"a10cebc7639623b00434ce0cb6888c4034699adc5901ea1587d491e593905790\",0,\"thm_22945\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022899.lean\",\"538c2897216708adf185e31df8d508f96ff90aa686c1e919d423e4d239ed54df\",0,\"thm_22946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317429,
+      "path": "data/train/p7d/deepseek-000457-0000-58d6d4fc1c4f5eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "58d6d4fc1c4f5eab8a3b266f4d48a5454298e0dc4a389ce299f41604acf886ab"
+    },
+    {
+      "bytes": 59084,
+      "path": "data/dev/p7d/deepseek-000457-0000-51b943af026b34ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "51b943af026b34ae547341f8de3c465b29048dfea179652ecca00c98a158f2d7"
+    },
+    {
+      "bytes": 48255,
+      "path": "data/internal_test/p7d/deepseek-000457-0000-4f4f289ae0b3a630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4f4f289ae0b3a630b9a345c690a3ea8eb8b2c4e95d7e1fa5b8534be6d0a8a360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000458.json b/manifests/batches/deepseek/000458.json
index a8e322cd7a05a8541e8dd1a70a737c2215189b21..ea0fecfc97a91aed77f1d078c6e37d35cf4f8544 100644
--- a/manifests/batches/deepseek/000458.json
+++ b/manifests/batches/deepseek/000458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000458",
   "batch_fingerprint": "da26613722eb3d45c10fa2f9cfe7ab952f72ca5271420e5ec5173871ed7d097e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000458-0000-ce2a7fa12eaf1401.parquet",
-      "sha256": "ce2a7fa12eaf140150380ff8f26db8443db57f696f649b9cb02e49a01974ac38",
-      "bytes": 266070,
-      "rows": 87,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/deepseek-000458-0000-d55ddce12b6f9976.parquet",
-      "sha256": "d55ddce12b6f99763ab4e4d44a60a34508054918e5ee8a970630ef918c65a034",
-      "bytes": 37125,
-      "rows": 5,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/deepseek-000458-0000-0f685078163cf58c.parquet",
-      "sha256": "0f685078163cf58c0700474f84e8a81937857e8548bd42980f83eb5effbaddfc",
-      "bytes": 58491,
-      "rows": 16,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22947",
     "deepseek:thm_22948",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022947.lean\",\"8cd4952f617675879be6dd01180883e14df6c2cbed04dc216f9e9e604d4acd1e\",0,\"thm_22994\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022948.lean\",\"67312c923c81503b37f710b2c63217cce75effd9fd682a835792b713078410ae\",0,\"thm_22995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022949.lean\",\"37a01fbcf32b122ad8591a8c6083494f854708716255cdbcaad2d9721e1f2cd8\",0,\"thm_22996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266070,
+      "path": "data/train/p7a/deepseek-000458-0000-ce2a7fa12eaf1401.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "ce2a7fa12eaf140150380ff8f26db8443db57f696f649b9cb02e49a01974ac38"
+    },
+    {
+      "bytes": 37125,
+      "path": "data/dev/p7a/deepseek-000458-0000-d55ddce12b6f9976.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d55ddce12b6f99763ab4e4d44a60a34508054918e5ee8a970630ef918c65a034"
+    },
+    {
+      "bytes": 58491,
+      "path": "data/internal_test/p7a/deepseek-000458-0000-0f685078163cf58c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0f685078163cf58c0700474f84e8a81937857e8548bd42980f83eb5effbaddfc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000459.json b/manifests/batches/deepseek/000459.json
index 45757efb56cd57f5a3291b70fd14bbb769f4cc3a..9b1980ee6847fe017785d3a8da789897b1524389 100644
--- a/manifests/batches/deepseek/000459.json
+++ b/manifests/batches/deepseek/000459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000459",
   "batch_fingerprint": "717079b6048865659fbe4187ffb2d8dffc11f78c84336ad3ccd03cd5f2908c15",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000459-0000-8d7a4f0d82c6af35.parquet",
-      "sha256": "8d7a4f0d82c6af35fe3f2ee7572efaa587f5f433ad4f98c4c5b2a0987164df74",
-      "bytes": 333772,
-      "rows": 102,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/dev/deepseek-000459-0000-b984842e44fd48c7.parquet",
-      "sha256": "b984842e44fd48c7a031662c29d9e523b27b6fbbcf406dd2f3a463fe4de11254",
-      "bytes": 44547,
-      "rows": 5,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/internal_test/deepseek-000459-0000-81e3467fd511311b.parquet",
-      "sha256": "81e3467fd511311b8b24b3240c055cf6b7e26594048c615297abb08c23d4d7d4",
-      "bytes": 66015,
-      "rows": 12,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_22997",
     "deepseek:thm_22998",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022997.lean\",\"22241e78ea67602b29af1d7157ce304cf0e4d8cea74b7ba221c869e5cf7bce10\",0,\"thm_23044\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022998.lean\",\"89d007b1cf2944090b9dae993ef552bda3dd30d4f3c5e304bb8948cf857790ed\",0,\"thm_23045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022999.lean\",\"c7fe2ad9a43cd227b4b36f9b0b80cd7baf863c29b4c9b63d180361bf74e2760d\",0,\"thm_23046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333772,
+      "path": "data/train/p95/deepseek-000459-0000-8d7a4f0d82c6af35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "8d7a4f0d82c6af35fe3f2ee7572efaa587f5f433ad4f98c4c5b2a0987164df74"
+    },
+    {
+      "bytes": 44547,
+      "path": "data/dev/p95/deepseek-000459-0000-b984842e44fd48c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b984842e44fd48c7a031662c29d9e523b27b6fbbcf406dd2f3a463fe4de11254"
+    },
+    {
+      "bytes": 66015,
+      "path": "data/internal_test/p95/deepseek-000459-0000-81e3467fd511311b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "81e3467fd511311b8b24b3240c055cf6b7e26594048c615297abb08c23d4d7d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000460.json b/manifests/batches/deepseek/000460.json
index 664545954a91273051c7be09c2b20b6e5629aef8..f72529f63d8970bc507fd2d021176d2a09cb2c8c 100644
--- a/manifests/batches/deepseek/000460.json
+++ b/manifests/batches/deepseek/000460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000460",
   "batch_fingerprint": "7f9166e073e0af52fafeee6390fbd6f767fa96ede3a928d169bf82d263a9ef8f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000460-0000-1875481602542743.parquet",
-      "sha256": "1875481602542743528d90b2f6c0956eb8e13ed11d068aa1e8fa32adb54df20e",
-      "bytes": 341255,
-      "rows": 111,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/deepseek-000460-0000-c82113726d7c26cf.parquet",
-      "sha256": "c82113726d7c26cfb69cf93430801cd678f97b9870a5cd67d59b0915670c9af6",
-      "bytes": 45385,
-      "rows": 6,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000460-0000-bc1f6b72df9cd949.parquet",
-      "sha256": "bc1f6b72df9cd9493ee65123fb9b15a0c08b8d6e0188e7e86f08254f729bc0f4",
-      "bytes": 42315,
-      "rows": 3,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23047",
     "deepseek:thm_23048",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023047.lean\",\"8924c04738bff97becbeff3622ce8bbdd5362022c2bec6872184c7f471d1a6b5\",0,\"thm_23094\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023048.lean\",\"8de241031ec2b3c24797d12c740f0b79f219fb50350158eb93af0c5b0bfdaf61\",0,\"thm_23095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023049.lean\",\"53a8a6851025911b8d52e7f1343b4066a48d810fdcaea57c224d455291ffcd1f\",0,\"thm_23096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341255,
+      "path": "data/train/p94/deepseek-000460-0000-1875481602542743.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "1875481602542743528d90b2f6c0956eb8e13ed11d068aa1e8fa32adb54df20e"
+    },
+    {
+      "bytes": 45385,
+      "path": "data/dev/p94/deepseek-000460-0000-c82113726d7c26cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c82113726d7c26cfb69cf93430801cd678f97b9870a5cd67d59b0915670c9af6"
+    },
+    {
+      "bytes": 42315,
+      "path": "data/internal_test/p94/deepseek-000460-0000-bc1f6b72df9cd949.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bc1f6b72df9cd9493ee65123fb9b15a0c08b8d6e0188e7e86f08254f729bc0f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000461.json b/manifests/batches/deepseek/000461.json
index 6d78768b12a2cfb67cb0b6ea97f415358333b0a5..99c5c5e2bf17629936ab612fb8a7aff18483ec46 100644
--- a/manifests/batches/deepseek/000461.json
+++ b/manifests/batches/deepseek/000461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000461",
   "batch_fingerprint": "9af6d5417b6a97a0cf72480437b5fb861e41b2b24c049627d8c0da2c320d1512",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000461-0000-cb11ac9bccb06d17.parquet",
-      "sha256": "cb11ac9bccb06d175f8f8d40236c8dd462a49eea9a941ac158e4565948897e0f",
-      "bytes": 339489,
-      "rows": 107,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/deepseek-000461-0000-011fc6b4d5c28495.parquet",
-      "sha256": "011fc6b4d5c28495e4bed142e8a5adc006e48f73c159b537a2eb7ccd3c0cd23d",
-      "bytes": 59596,
-      "rows": 8,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000461-0000-deadecd561fa68bf.parquet",
-      "sha256": "deadecd561fa68bfa9729f3b3c86d112b10ebc369b374c1770570e21a673447f",
-      "bytes": 65251,
-      "rows": 17,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23097",
     "deepseek:thm_23098",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023097.lean\",\"ca2392a3c17e1ab6709d29cc79f31df308385e1b3053d16f9675615ffb35c9f9\",0,\"thm_23144\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023098.lean\",\"fbff1069c1c7228862702b278cd13a098c2cf35164fab1cb9d1eaf443c65d85f\",0,\"thm_23145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023099.lean\",\"ed948ce7727a866b80f3ab4248f7448b34cba2c0900b6939162986e3ba409373\",0,\"thm_23146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339489,
+      "path": "data/train/pa8/deepseek-000461-0000-cb11ac9bccb06d17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "cb11ac9bccb06d175f8f8d40236c8dd462a49eea9a941ac158e4565948897e0f"
+    },
+    {
+      "bytes": 59596,
+      "path": "data/dev/pa8/deepseek-000461-0000-011fc6b4d5c28495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "011fc6b4d5c28495e4bed142e8a5adc006e48f73c159b537a2eb7ccd3c0cd23d"
+    },
+    {
+      "bytes": 65251,
+      "path": "data/internal_test/pa8/deepseek-000461-0000-deadecd561fa68bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "deadecd561fa68bfa9729f3b3c86d112b10ebc369b374c1770570e21a673447f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000462.json b/manifests/batches/deepseek/000462.json
index a2d960f8e75ee014816375d23578422e9ce5323e..7b6acb483dde7077694106d0427aa3ccc36ac88f 100644
--- a/manifests/batches/deepseek/000462.json
+++ b/manifests/batches/deepseek/000462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000462",
   "batch_fingerprint": "f31c97cf1013503883d8cb8fe207ee2a5232773a3dd055f64dbed9869fc92745",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000462-0000-4816910fc2012112.parquet",
-      "sha256": "4816910fc201211292e7cc228b5ed8c3eb5880808f5f055e3a05560ac8a65ca0",
-      "bytes": 268651,
-      "rows": 84,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/deepseek-000462-0000-158d5b1ee703921e.parquet",
-      "sha256": "158d5b1ee703921ecea721f04e7179d625cc73fccf4252fc77edb5d1f6c37581",
-      "bytes": 43000,
-      "rows": 4,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000462-0000-ac5f8bc8a93c023c.parquet",
-      "sha256": "ac5f8bc8a93c023c3e2f323f629aa81a18210ae9e2fe7524e0d0e6db815a5263",
-      "bytes": 56138,
-      "rows": 13,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23147",
     "deepseek:thm_23148",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023147.lean\",\"a9ac8cdc9ece179f03c1377ac19454da4bf49724c691eaef5d264d4de208df54\",0,\"thm_23194\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023148.lean\",\"e0a12f5f24cfceeb526de3d515280fb9802c396a42175e8957029bf53f857637\",0,\"thm_23195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023149.lean\",\"7828e8d835ce4649a19c78cebc1bc2723a3c80935037c3f6727fdb57cde1ff12\",0,\"thm_23196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268651,
+      "path": "data/train/p9e/deepseek-000462-0000-4816910fc2012112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "4816910fc201211292e7cc228b5ed8c3eb5880808f5f055e3a05560ac8a65ca0"
+    },
+    {
+      "bytes": 43000,
+      "path": "data/dev/p9e/deepseek-000462-0000-158d5b1ee703921e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "158d5b1ee703921ecea721f04e7179d625cc73fccf4252fc77edb5d1f6c37581"
+    },
+    {
+      "bytes": 56138,
+      "path": "data/internal_test/p9e/deepseek-000462-0000-ac5f8bc8a93c023c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac5f8bc8a93c023c3e2f323f629aa81a18210ae9e2fe7524e0d0e6db815a5263"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000463.json b/manifests/batches/deepseek/000463.json
index 2f765c80b2c4c0f82a9da138be140e473d569e2a..6b823c7e79ef784383293f12cb38e93fbec189c5 100644
--- a/manifests/batches/deepseek/000463.json
+++ b/manifests/batches/deepseek/000463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000463",
   "batch_fingerprint": "c1d95f5da987d7fa043b2151ef55c9d8618cda4da08543f28077b8a8aaee9bfb",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000463-0000-60dc0061b6804aa5.parquet",
-      "sha256": "60dc0061b6804aa5b28c2b068c9730bc6b4a3ad4b37ba0ad39a617abf1257376",
-      "bytes": 354945,
-      "rows": 111,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/internal_test/deepseek-000463-0000-60de480b6288874b.parquet",
-      "sha256": "60de480b6288874ba51bc7dd2b7d98563e7c59de9840df94d9fa800c42ffbeb8",
-      "bytes": 50646,
-      "rows": 6,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23197",
     "deepseek:thm_23198",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023197.lean\",\"8f85e166c98f7a14e644fb3f9a0e3c2e4ad74abedcf41b54aee3336129eb4794\",0,\"thm_23244\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023198.lean\",\"f1defe89919f70284fc9204c41d2073eb8c93dabb7103260760733bba2c15d7e\",0,\"thm_23245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023199.lean\",\"ba1c6faa7a6e76be2475030d7f3f90ba97392201e555a934ac3caeb16dd9489a\",0,\"thm_23246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354945,
+      "path": "data/train/p77/deepseek-000463-0000-60dc0061b6804aa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "60dc0061b6804aa5b28c2b068c9730bc6b4a3ad4b37ba0ad39a617abf1257376"
+    },
+    {
+      "bytes": 50646,
+      "path": "data/internal_test/p77/deepseek-000463-0000-60de480b6288874b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "60de480b6288874ba51bc7dd2b7d98563e7c59de9840df94d9fa800c42ffbeb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000464.json b/manifests/batches/deepseek/000464.json
index 56b51c4b1785633fc0527b82f53f3331f06a45dd..d96f4a3d4395e0153be3176080c405d4dd08be3c 100644
--- a/manifests/batches/deepseek/000464.json
+++ b/manifests/batches/deepseek/000464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000464",
   "batch_fingerprint": "01c91d9717c39dafcff1d65edba20d07a6de99ee0d3ceb5a1811968b8574be75",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000464-0000-84ef8cd728784d45.parquet",
-      "sha256": "84ef8cd728784d457ce59f489ec7e2ebb6663937ea42c6f68431e63f08de6175",
-      "bytes": 313149,
-      "rows": 96,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/deepseek-000464-0000-a99091f5ecc95399.parquet",
-      "sha256": "a99091f5ecc9539904adf4055237b7f235ffe12bf3e04bec9f0813a78002c5fe",
-      "bytes": 42017,
-      "rows": 5,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000464-0000-4c43bceaa7e31203.parquet",
-      "sha256": "4c43bceaa7e3120396ffeb323b161ea9f8c1c11e7e007563c6f366d00bb5dec8",
-      "bytes": 48784,
-      "rows": 11,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23247",
     "deepseek:thm_23248",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023247.lean\",\"38ae9f7057b0ebc671db1674b96feeac5809dd0b3dec984096b484db9e758742\",0,\"thm_23294\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023248.lean\",\"2a53e72c125e1573863357e4638a3a6ed13343ea44a576510b28965e1ce94102\",0,\"thm_23295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023249.lean\",\"c8b7ded6fa31963f357cf9c3b8cc67591e4d5febee152a8a0a8cc7c7ff49d6bc\",0,\"thm_23296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313149,
+      "path": "data/train/pc3/deepseek-000464-0000-84ef8cd728784d45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "84ef8cd728784d457ce59f489ec7e2ebb6663937ea42c6f68431e63f08de6175"
+    },
+    {
+      "bytes": 42017,
+      "path": "data/dev/pc3/deepseek-000464-0000-a99091f5ecc95399.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a99091f5ecc9539904adf4055237b7f235ffe12bf3e04bec9f0813a78002c5fe"
+    },
+    {
+      "bytes": 48784,
+      "path": "data/internal_test/pc3/deepseek-000464-0000-4c43bceaa7e31203.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4c43bceaa7e3120396ffeb323b161ea9f8c1c11e7e007563c6f366d00bb5dec8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000465.json b/manifests/batches/deepseek/000465.json
index a860a03f4ced470e7a6f9cee411db3eb1da1ce99..53922080f725adb8905e461ca582704594846d99 100644
--- a/manifests/batches/deepseek/000465.json
+++ b/manifests/batches/deepseek/000465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000465",
   "batch_fingerprint": "9a04e2e688b4d020cd761f148b12710da62aa19b435caeb36b2d7ce44159b6e1",
   "evidence": {
@@ -95,29 +94,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000465-0000-57f60a359f25b57f.parquet",
-      "sha256": "57f60a359f25b57f4ff10ca37c3407fec69a190c4ee28fbc6649b60ef27b33da",
-      "bytes": 330024,
-      "rows": 102,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/dev/deepseek-000465-0000-e5b437b2c789f9ab.parquet",
-      "sha256": "e5b437b2c789f9ab4980b07ac0d43f517fb471dd7470002486cd0cb3fdca6ad3",
-      "bytes": 32240,
-      "rows": 4,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/internal_test/deepseek-000465-0000-979e24d6a03711d8.parquet",
-      "sha256": "979e24d6a03711d8b7ca207d4d3428b7d22e05b67d310ac6fa98a052cb1befea",
-      "bytes": 44924,
-      "rows": 7,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23297",
     "deepseek:thm_23298",
@@ -213,5 +190,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023297.lean\",\"42e1a01b7d0337be65d1c417e3300fa2d123381a1f7d5b6281d50dca1fa5e825\",0,\"thm_23344\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023298.lean\",\"688fbad33d5bd47634a0a1013d6fa21b9e9b613ad5ab792e27508815cfd436e5\",0,\"thm_23345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023299.lean\",\"85d3b775a5a4bb0d81e91241c603e8d1cde163a904898aa610261156db5333a0\",0,\"thm_23346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330024,
+      "path": "data/train/p0b/deepseek-000465-0000-57f60a359f25b57f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "57f60a359f25b57f4ff10ca37c3407fec69a190c4ee28fbc6649b60ef27b33da"
+    },
+    {
+      "bytes": 32240,
+      "path": "data/dev/p0b/deepseek-000465-0000-e5b437b2c789f9ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e5b437b2c789f9ab4980b07ac0d43f517fb471dd7470002486cd0cb3fdca6ad3"
+    },
+    {
+      "bytes": 44924,
+      "path": "data/internal_test/p0b/deepseek-000465-0000-979e24d6a03711d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "979e24d6a03711d8b7ca207d4d3428b7d22e05b67d310ac6fa98a052cb1befea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000466.json b/manifests/batches/deepseek/000466.json
index bdaf91eceb15a2abe88f2885e431132f4dc39e78..0e828da0b614d7234596ca0959c33922cf1d0934 100644
--- a/manifests/batches/deepseek/000466.json
+++ b/manifests/batches/deepseek/000466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000466",
   "batch_fingerprint": "f0e8fe018429b3536db84e71b7a53413166e411ca6733382e91fde912fd0b4cb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000466-0000-e6f229b86f8333e8.parquet",
-      "sha256": "e6f229b86f8333e87b78d1a4847e358598e76807122093d619441977c09b8de8",
-      "bytes": 336039,
-      "rows": 99,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/deepseek-000466-0000-48a1bc9da5500b01.parquet",
-      "sha256": "48a1bc9da5500b016dbefd30c9d6723ce6f374c3ac53d858ce29be8e2dd97701",
-      "bytes": 33925,
-      "rows": 3,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000466-0000-09dab824d5bb7caa.parquet",
-      "sha256": "09dab824d5bb7caae305e8144ef30b69ba323420a4aa84be3c1bc2f5a7a9e919",
-      "bytes": 61209,
-      "rows": 13,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23347",
     "deepseek:thm_23348",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023347.lean\",\"79e77cf6d6312afcf676c8f7e27c9ab77e2eba64fc6d2bcdf07721ffd6df90a8\",0,\"thm_23394\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023348.lean\",\"10cd55096edc9251ee5c025b542acb2fe76dfbd5a42d1daad35c167ebe5474e6\",0,\"thm_23395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023349.lean\",\"febec0f8f1b58f1a882fe1d77a5c6ea8dd7f4c839e45c54f3bc5a37705c2aea2\",0,\"thm_23396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336039,
+      "path": "data/train/pb7/deepseek-000466-0000-e6f229b86f8333e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "e6f229b86f8333e87b78d1a4847e358598e76807122093d619441977c09b8de8"
+    },
+    {
+      "bytes": 33925,
+      "path": "data/dev/pb7/deepseek-000466-0000-48a1bc9da5500b01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "48a1bc9da5500b016dbefd30c9d6723ce6f374c3ac53d858ce29be8e2dd97701"
+    },
+    {
+      "bytes": 61209,
+      "path": "data/internal_test/pb7/deepseek-000466-0000-09dab824d5bb7caa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "09dab824d5bb7caae305e8144ef30b69ba323420a4aa84be3c1bc2f5a7a9e919"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000467.json b/manifests/batches/deepseek/000467.json
index d0c1cfb89b08cb167e0d155038f4b87a15c41ff2..5e07a53e3c80701c6402e6d467832a9efad5ca8a 100644
--- a/manifests/batches/deepseek/000467.json
+++ b/manifests/batches/deepseek/000467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000467",
   "batch_fingerprint": "0e2b3788179e1c48697c13b5b0694bd2dbf11fd44073d2ee3d2b675f533365d1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000467-0000-0c075e26a28089f5.parquet",
-      "sha256": "0c075e26a28089f565a682f4fb7462be74096901bd9c4f6faa7d5fc7b6b36536",
-      "bytes": 320186,
-      "rows": 103,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/dev/deepseek-000467-0000-16db88b22feb256d.parquet",
-      "sha256": "16db88b22feb256dfdf5b659856559ffa5bdd6ddf31b3eced5cab8d7e19fca2a",
-      "bytes": 66100,
-      "rows": 14,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000467-0000-0221f8d50c539946.parquet",
-      "sha256": "0221f8d50c539946971025ae80e89a67fbbc43be00341b719a89e27acdf5158d",
-      "bytes": 55818,
-      "rows": 11,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23397",
     "deepseek:thm_23398",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023397.lean\",\"97fc0a816d8d18c2f05391bb1d17b2d7994567a1303e6d5854033527d9954ef5\",0,\"thm_23444\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023398.lean\",\"cf6234c7bdfdc23977ff4609935ccff1de78d56f4d293d69b1bdc5d95f15752c\",0,\"thm_23445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023399.lean\",\"b9b056ac72b0b5f8a210c9a5d8e319e3de8ef9c705df183e6492f6ef57b461a5\",0,\"thm_23446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320186,
+      "path": "data/train/p38/deepseek-000467-0000-0c075e26a28089f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "0c075e26a28089f565a682f4fb7462be74096901bd9c4f6faa7d5fc7b6b36536"
+    },
+    {
+      "bytes": 66100,
+      "path": "data/dev/p38/deepseek-000467-0000-16db88b22feb256d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "16db88b22feb256dfdf5b659856559ffa5bdd6ddf31b3eced5cab8d7e19fca2a"
+    },
+    {
+      "bytes": 55818,
+      "path": "data/internal_test/p38/deepseek-000467-0000-0221f8d50c539946.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0221f8d50c539946971025ae80e89a67fbbc43be00341b719a89e27acdf5158d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000468.json b/manifests/batches/deepseek/000468.json
index 734bb7002296562341887dcec91e011eb1052c96..266e3a2ef670ceee9a8e211ca51d46dba715d92e 100644
--- a/manifests/batches/deepseek/000468.json
+++ b/manifests/batches/deepseek/000468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000468",
   "batch_fingerprint": "20bbe41139331263227d340f2be694e0d942fd2553583c5b6548d88e6ca0d2f3",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000468-0000-c6f6c269681e3c2e.parquet",
-      "sha256": "c6f6c269681e3c2e08e980f5d506bf5fc4b0c47acf429df16991751618edc875",
-      "bytes": 354644,
-      "rows": 112,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/dev/deepseek-000468-0000-13a96ec4d2350b03.parquet",
-      "sha256": "13a96ec4d2350b0393cecdb724dc2583327307a29d844367cc7f35943850cac7",
-      "bytes": 30100,
-      "rows": 2,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000468-0000-4345c85bb5cd360d.parquet",
-      "sha256": "4345c85bb5cd360d2a979222a5711375716c68463f9ad0549743df6a46d9d4eb",
-      "bytes": 40549,
-      "rows": 8,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23447",
     "deepseek:thm_23448",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023447.lean\",\"43344457c3b1b6a69b06729d2df27fdc267acee52f14d826974242e6861e73db\",0,\"thm_23494\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023448.lean\",\"5324191b19ab4c6c6a3056147a0155e10cbd90fb88210f1e4ba5146462f13ee9\",0,\"thm_23495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023449.lean\",\"4bc43af4bbc387d52af790d309f0c5c5c2c9487a82c5cc92af63aa0a4e11480c\",0,\"thm_23496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354644,
+      "path": "data/train/p82/deepseek-000468-0000-c6f6c269681e3c2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "c6f6c269681e3c2e08e980f5d506bf5fc4b0c47acf429df16991751618edc875"
+    },
+    {
+      "bytes": 30100,
+      "path": "data/dev/p82/deepseek-000468-0000-13a96ec4d2350b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "13a96ec4d2350b0393cecdb724dc2583327307a29d844367cc7f35943850cac7"
+    },
+    {
+      "bytes": 40549,
+      "path": "data/internal_test/p82/deepseek-000468-0000-4345c85bb5cd360d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4345c85bb5cd360d2a979222a5711375716c68463f9ad0549743df6a46d9d4eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000469.json b/manifests/batches/deepseek/000469.json
index fd4c881df210a377701d1aafec4e5508365f39b8..492a3a86cf28ea4294da9319fba4a2f6c0fbfdea 100644
--- a/manifests/batches/deepseek/000469.json
+++ b/manifests/batches/deepseek/000469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000469",
   "batch_fingerprint": "5ed1adb131bd7654c3f8532e8c30eb36e97158acc3b46ffad85462622a4ea820",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000469-0000-fa7687f24642f10c.parquet",
-      "sha256": "fa7687f24642f10c345054365bebb8b66503da2d8d15451a62bb9519435b9b64",
-      "bytes": 265221,
-      "rows": 84,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000469-0000-3ea880ad50abaa67.parquet",
-      "sha256": "3ea880ad50abaa67df6fb2d02a3e45ff54c140cb3613b2d84fcffc8e59d6853f",
-      "bytes": 91164,
-      "rows": 32,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23497",
     "deepseek:thm_23498",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023496.lean\",\"22244f04f8d1c0b63ad27819120980b9352fc5b455d58762280e0295711f5a57\",0,\"thm_23543\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023498.lean\",\"53d545d58755ed1dabda2ff6be622e420442459a412da447adc9a7217d8907ca\",0,\"thm_23545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023499.lean\",\"e664aa34cf0b45723065cc66c6ddedcb8eae335424c973c1bac360dbb5d3d77a\",0,\"thm_23546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265221,
+      "path": "data/train/p26/deepseek-000469-0000-fa7687f24642f10c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "fa7687f24642f10c345054365bebb8b66503da2d8d15451a62bb9519435b9b64"
+    },
+    {
+      "bytes": 91164,
+      "path": "data/internal_test/p26/deepseek-000469-0000-3ea880ad50abaa67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "3ea880ad50abaa67df6fb2d02a3e45ff54c140cb3613b2d84fcffc8e59d6853f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000470.json b/manifests/batches/deepseek/000470.json
index deef9fcf5b27b81b49e1cf268b43b88f3cddf406..e5f745f960cbfcaad73a15ce2b0f0b8163ab151e 100644
--- a/manifests/batches/deepseek/000470.json
+++ b/manifests/batches/deepseek/000470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000470",
   "batch_fingerprint": "a6d4443b5b9421be55f329663a00eaa8b776bd14902454d2f73a8567cb6761da",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000470-0000-88086c5a84ee8acc.parquet",
-      "sha256": "88086c5a84ee8acc7c57c809c1fa31a3e7a31202bf66bfc2818d83451323b5a0",
-      "bytes": 391936,
-      "rows": 100,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000470-0000-69bec792a2b72c64.parquet",
-      "sha256": "69bec792a2b72c64a7df1553c3741d09ccbfd18e0c33d1a330d2f2dc6ee4f0e2",
-      "bytes": 55457,
-      "rows": 11,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23547",
     "deepseek:thm_23548",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023547.lean\",\"cf6e826644052a6e68dd50d1912222ba9381c564f6f33a2e3d8e8a951564a853\",0,\"thm_23594\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023548.lean\",\"b863b1ff977897bf483599f10414b9143425cfc7abd2ebf5b4d186194bb90b14\",0,\"thm_23595\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023549.lean\",\"41169b1f0e8488ffe2e1b70ea71e846c450f7909420849b5c9fbfa154b0f2e3e\",0,\"thm_23596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391936,
+      "path": "data/train/p89/deepseek-000470-0000-88086c5a84ee8acc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "88086c5a84ee8acc7c57c809c1fa31a3e7a31202bf66bfc2818d83451323b5a0"
+    },
+    {
+      "bytes": 55457,
+      "path": "data/internal_test/p89/deepseek-000470-0000-69bec792a2b72c64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "69bec792a2b72c64a7df1553c3741d09ccbfd18e0c33d1a330d2f2dc6ee4f0e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000471.json b/manifests/batches/deepseek/000471.json
index a27da6e54fd51fecf774a4dca25eeb2f2ceb1d08..a3e1f136ec596552271938157182073fa3e32fc3 100644
--- a/manifests/batches/deepseek/000471.json
+++ b/manifests/batches/deepseek/000471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000471",
   "batch_fingerprint": "558b2448694af6358c93ec45482e43356f46b85945878f4e4a5ed7ad07ead640",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000471-0000-3dfc418c379af64a.parquet",
-      "sha256": "3dfc418c379af64ada3dc4a970b297195637ec69e9a576d27a0d9d9e66f7d54d",
-      "bytes": 308108,
-      "rows": 98,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/dev/deepseek-000471-0000-0c2e09a57d00c969.parquet",
-      "sha256": "0c2e09a57d00c969b2d55302f08ce1920244bd65d11180b3ffa303027eb1da24",
-      "bytes": 36163,
-      "rows": 7,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000471-0000-ecffd3656f2ba9d0.parquet",
-      "sha256": "ecffd3656f2ba9d0383112c19248e2fe2a05d68086c36c3d0623665fb06297a9",
-      "bytes": 68491,
-      "rows": 13,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23597",
     "deepseek:thm_23598",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023597.lean\",\"c8a5bdd79cc4013f238931ba58db2835cfb2fdb4644ae9a55a12f02ff769c8a6\",0,\"thm_23644\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023598.lean\",\"bb24d4e89a1f6747df5c9a19a294ae6d961df4afcec9a8750cf39eefa324c85f\",0,\"thm_23645\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023599.lean\",\"651d346aee824f8d17a404f404b62fb2af0533c21a9b8ffd911e9624f88d2497\",0,\"thm_23646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308108,
+      "path": "data/train/p5a/deepseek-000471-0000-3dfc418c379af64a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "3dfc418c379af64ada3dc4a970b297195637ec69e9a576d27a0d9d9e66f7d54d"
+    },
+    {
+      "bytes": 36163,
+      "path": "data/dev/p5a/deepseek-000471-0000-0c2e09a57d00c969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0c2e09a57d00c969b2d55302f08ce1920244bd65d11180b3ffa303027eb1da24"
+    },
+    {
+      "bytes": 68491,
+      "path": "data/internal_test/p5a/deepseek-000471-0000-ecffd3656f2ba9d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ecffd3656f2ba9d0383112c19248e2fe2a05d68086c36c3d0623665fb06297a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000472.json b/manifests/batches/deepseek/000472.json
index 1b809e2b493879f379304b716901098ec0115cc5..e4a197698a742d2005ac1698ab0ebae1d269ca07 100644
--- a/manifests/batches/deepseek/000472.json
+++ b/manifests/batches/deepseek/000472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000472",
   "batch_fingerprint": "753d5d8485da4a93febc48ba573c6140b5a053bb1b69ca7bd856503448d15ba4",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000472-0000-62023bf3f1e0d272.parquet",
-      "sha256": "62023bf3f1e0d2728b0bcac9414c5af6ac649b432f76b0dd5ff0fc6d055112ce",
-      "bytes": 341956,
-      "rows": 111,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/dev/deepseek-000472-0000-9a23ace7cfc540d4.parquet",
-      "sha256": "9a23ace7cfc540d475c7c6044cc5df151945581e5f8b9557ba0274de7180d81c",
-      "bytes": 38340,
-      "rows": 4,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000472-0000-7a8d712463b1c46f.parquet",
-      "sha256": "7a8d712463b1c46f89d0ba0ec9a98b22f81b22d421d486dce6f3d9f19b55e2f4",
-      "bytes": 90706,
-      "rows": 20,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23647",
     "deepseek:thm_23648",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023647.lean\",\"77911bead41789f66121152863313becdfb17a11f3841b0fab1e5c0dcb8517bd\",0,\"thm_23694\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023648.lean\",\"aba886dcd9f6497d19e4ea7c46b28c8e938d90d394076a5b1f2888a2aa6f858f\",0,\"thm_23695\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023649.lean\",\"0ed2ee64e7586d70a666cfb2df8a37362ff6fc6c3e6285b65a4d3312efc988a7\",0,\"thm_23696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341956,
+      "path": "data/train/p8e/deepseek-000472-0000-62023bf3f1e0d272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "62023bf3f1e0d2728b0bcac9414c5af6ac649b432f76b0dd5ff0fc6d055112ce"
+    },
+    {
+      "bytes": 38340,
+      "path": "data/dev/p8e/deepseek-000472-0000-9a23ace7cfc540d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9a23ace7cfc540d475c7c6044cc5df151945581e5f8b9557ba0274de7180d81c"
+    },
+    {
+      "bytes": 90706,
+      "path": "data/internal_test/p8e/deepseek-000472-0000-7a8d712463b1c46f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7a8d712463b1c46f89d0ba0ec9a98b22f81b22d421d486dce6f3d9f19b55e2f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000473.json b/manifests/batches/deepseek/000473.json
index 82e37ed8c124a0bc209e90f7ae3a511af405cd77..5e0b073634cd99ef32f10ef04508db6fd69aa8d2 100644
--- a/manifests/batches/deepseek/000473.json
+++ b/manifests/batches/deepseek/000473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000473",
   "batch_fingerprint": "dc2a0a829951640b5746455f8965429233dfae40eca4277f8f7c2fdf36bb3906",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000473-0000-0f4a27fe630d32b7.parquet",
-      "sha256": "0f4a27fe630d32b755db0e9033edad7008bd6dfefaaa8da9301c003a720f7128",
-      "bytes": 323944,
-      "rows": 105,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/deepseek-000473-0000-2a3a4995dd3c9f47.parquet",
-      "sha256": "2a3a4995dd3c9f4769ad974793ab00ec53629c97d6aa36b1215e4d4a3349c889",
-      "bytes": 44626,
-      "rows": 9,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23697",
     "deepseek:thm_23698",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023697.lean\",\"3a326ea522f9fe0b331be12f60a1af3e9588aa8d4b4dc6f5a429bff6c3756e56\",0,\"thm_23744\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023698.lean\",\"ed58424fa2176901b7c95f18d0a8c1ca1ccc5e1b2b4154ccdd9285504f2d6fab\",0,\"thm_23745\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023699.lean\",\"700a4ac6e430970586fa12d74ede1cd37c4d9f8c3e0e4050d23f32f70e6981d9\",0,\"thm_23746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323944,
+      "path": "data/train/p31/deepseek-000473-0000-0f4a27fe630d32b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "0f4a27fe630d32b755db0e9033edad7008bd6dfefaaa8da9301c003a720f7128"
+    },
+    {
+      "bytes": 44626,
+      "path": "data/internal_test/p31/deepseek-000473-0000-2a3a4995dd3c9f47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2a3a4995dd3c9f4769ad974793ab00ec53629c97d6aa36b1215e4d4a3349c889"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000474.json b/manifests/batches/deepseek/000474.json
index 522a0234fc43581134a420abed7b46208631744a..36bc8b6cafcc021b4ffaf6f1be1d8317a6f914c6 100644
--- a/manifests/batches/deepseek/000474.json
+++ b/manifests/batches/deepseek/000474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000474",
   "batch_fingerprint": "21fda3218c7b4c85ecf5f6342f70dc94df274c7847d2ed94cae0052197c68cca",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000474-0000-ab64938f2ef00218.parquet",
-      "sha256": "ab64938f2ef0021826d6bb13ac35f6695fa703256f047755a31094a382526959",
-      "bytes": 343222,
-      "rows": 110,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/dev/deepseek-000474-0000-0a45d8337d9865c8.parquet",
-      "sha256": "0a45d8337d9865c89c565255eff7fb9cf3e55ebfdd55e0afa36a52200069dad4",
-      "bytes": 30683,
-      "rows": 3,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/deepseek-000474-0000-b1f475b64c4c6e07.parquet",
-      "sha256": "b1f475b64c4c6e0700316c9e0ba4d3622b48957a3644569e13dd9ac394eab70f",
-      "bytes": 36938,
-      "rows": 4,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23747",
     "deepseek:thm_23748",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023747.lean\",\"8c9125dcc12040c506044f4c8cc6593cdff88400a068ec02c1ae263e5ad31cf4\",0,\"thm_23794\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023748.lean\",\"ef9f5889272f53c99ae1098205d06a381573da7314ad161430f8ca4874c7b233\",0,\"thm_23795\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023749.lean\",\"ec0d1a433538bcb5e8097423ee41140352688eb5d37a467ca69336bc764baaf7\",0,\"thm_23796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343222,
+      "path": "data/train/pca/deepseek-000474-0000-ab64938f2ef00218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "ab64938f2ef0021826d6bb13ac35f6695fa703256f047755a31094a382526959"
+    },
+    {
+      "bytes": 30683,
+      "path": "data/dev/pca/deepseek-000474-0000-0a45d8337d9865c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0a45d8337d9865c89c565255eff7fb9cf3e55ebfdd55e0afa36a52200069dad4"
+    },
+    {
+      "bytes": 36938,
+      "path": "data/internal_test/pca/deepseek-000474-0000-b1f475b64c4c6e07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b1f475b64c4c6e0700316c9e0ba4d3622b48957a3644569e13dd9ac394eab70f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000475.json b/manifests/batches/deepseek/000475.json
index 40e896a941ba5d3699ed3228c6f898db438e880f..57a9d6e843f955e32ba2a97a95f4bd38c646e1f8 100644
--- a/manifests/batches/deepseek/000475.json
+++ b/manifests/batches/deepseek/000475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000475",
   "batch_fingerprint": "b91c14f8c1e6dd33be57bea7c43b65fbb8b5993025fe0f2fde4c55081914e0a5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000475-0000-0df5c12fa71b2dd4.parquet",
-      "sha256": "0df5c12fa71b2dd401f5f95274ab51d62c4dd342c8cf6ca60a8d1f7139466b5b",
-      "bytes": 323193,
-      "rows": 98,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/dev/deepseek-000475-0000-54bb7aa02bf0fb49.parquet",
-      "sha256": "54bb7aa02bf0fb491e75daa37ca32aa40f41b10e60af8896d1953feb1c2887e7",
-      "bytes": 42142,
-      "rows": 5,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/deepseek-000475-0000-43d5aa700acab068.parquet",
-      "sha256": "43d5aa700acab06888c2b7d33a16bbc171f28c1b6714b213afdf06764c930054",
-      "bytes": 82668,
-      "rows": 17,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23797",
     "deepseek:thm_23798",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023797.lean\",\"c13f4f98ab2b2dc04bfebf379b5753f4888561ab1b0d09fa04237dd50dbc9e6e\",0,\"thm_23844\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023798.lean\",\"c9d7766a9cd737995292a18dbf5585910c67122611b391840a5da10ffc9f20de\",0,\"thm_23845\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023799.lean\",\"27afffb0ab3bdf6cedcb102e350122df547b32ad64ce825d1683b77871b18346\",0,\"thm_23846\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323193,
+      "path": "data/train/paa/deepseek-000475-0000-0df5c12fa71b2dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "0df5c12fa71b2dd401f5f95274ab51d62c4dd342c8cf6ca60a8d1f7139466b5b"
+    },
+    {
+      "bytes": 42142,
+      "path": "data/dev/paa/deepseek-000475-0000-54bb7aa02bf0fb49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "54bb7aa02bf0fb491e75daa37ca32aa40f41b10e60af8896d1953feb1c2887e7"
+    },
+    {
+      "bytes": 82668,
+      "path": "data/internal_test/paa/deepseek-000475-0000-43d5aa700acab068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "43d5aa700acab06888c2b7d33a16bbc171f28c1b6714b213afdf06764c930054"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000476.json b/manifests/batches/deepseek/000476.json
index 3bc558f65d41354f2151ffbcc49ca1436c3b5b0b..478c6b6653b7cc79593eca66ceea1db0756f52ce 100644
--- a/manifests/batches/deepseek/000476.json
+++ b/manifests/batches/deepseek/000476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000476",
   "batch_fingerprint": "d3ad9b6081a43f694fa4b17d82bc1c09d2345f1a14a1b42e4bf1a3717c7b23bf",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000476-0000-833e0b71f0a6074c.parquet",
-      "sha256": "833e0b71f0a6074c3cfe7226060c5639bd4361d33b59de1a915d23b007c22f82",
-      "bytes": 373770,
-      "rows": 116,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000476-0000-f8154f1d1aff2adf.parquet",
-      "sha256": "f8154f1d1aff2adf99b4b03c9c8bfdc9498dd23a522e484fa02d56a10878d01d",
-      "bytes": 41018,
-      "rows": 3,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23847",
     "deepseek:thm_23848",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023847.lean\",\"d6e88bd64becfe4a642d02361cc989ad5f68172cb79101bad3284a71fe213764\",0,\"thm_23894\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023848.lean\",\"a48a057e8a6e1cc1decad2f6c766553ba2f7c00b6a2fad939930e44274a770f1\",0,\"thm_23895\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023849.lean\",\"dba780377fa42eff6ff5224a4529111326d37d949a02d5a73f950a331d12aa02\",0,\"thm_23896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373770,
+      "path": "data/train/p19/deepseek-000476-0000-833e0b71f0a6074c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 116,
+      "sha256": "833e0b71f0a6074c3cfe7226060c5639bd4361d33b59de1a915d23b007c22f82"
+    },
+    {
+      "bytes": 41018,
+      "path": "data/internal_test/p19/deepseek-000476-0000-f8154f1d1aff2adf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f8154f1d1aff2adf99b4b03c9c8bfdc9498dd23a522e484fa02d56a10878d01d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000477.json b/manifests/batches/deepseek/000477.json
index 657b00d5e082f6aa7f24cb90166333fe319497cc..c439f25fb29341cc729947a7c53e10f3f55fc2fc 100644
--- a/manifests/batches/deepseek/000477.json
+++ b/manifests/batches/deepseek/000477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000477",
   "batch_fingerprint": "848dada77b8bb13dfeeb35a7dd444852c1390f43e4569d4d0e0d7581782d85eb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000477-0000-35bb0499b6999d49.parquet",
-      "sha256": "35bb0499b6999d49e32265508f6034cc27983ca607fd517a3fc66cd53fff9aa0",
-      "bytes": 348071,
-      "rows": 105,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/deepseek-000477-0000-28e8e1b2c82b0b03.parquet",
-      "sha256": "28e8e1b2c82b0b032e3b27d96cdf5131e29ea1e05a5bbf939f89719cef4a0047",
-      "bytes": 33253,
-      "rows": 4,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000477-0000-eb597870c8a797e9.parquet",
-      "sha256": "eb597870c8a797e9f45ccc5341cf14ea825c53f549fc5b925642a2ece3c93014",
-      "bytes": 44033,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23897",
     "deepseek:thm_23898",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023897.lean\",\"933e1c7c4271f5ee06545f3c977e68938b062a3d52ed4a04c290baaddff6fe6c\",0,\"thm_23944\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023898.lean\",\"005faf992ce5d0688b668315d3cbf8e352afea893c938d956b594c01cca35f20\",0,\"thm_23945\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023899.lean\",\"1a60665f9333e6be5db0f8258a4380b919f013b9092b769138e4123ec27edcba\",0,\"thm_23946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348071,
+      "path": "data/train/p74/deepseek-000477-0000-35bb0499b6999d49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "35bb0499b6999d49e32265508f6034cc27983ca607fd517a3fc66cd53fff9aa0"
+    },
+    {
+      "bytes": 33253,
+      "path": "data/dev/p74/deepseek-000477-0000-28e8e1b2c82b0b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "28e8e1b2c82b0b032e3b27d96cdf5131e29ea1e05a5bbf939f89719cef4a0047"
+    },
+    {
+      "bytes": 44033,
+      "path": "data/internal_test/p74/deepseek-000477-0000-eb597870c8a797e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "eb597870c8a797e9f45ccc5341cf14ea825c53f549fc5b925642a2ece3c93014"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000478.json b/manifests/batches/deepseek/000478.json
index 44bee97e424bd665fd9f94cec2f6b2d6d1e0f69f..5493e83465ee3d429aefb25e2996ded529665c41 100644
--- a/manifests/batches/deepseek/000478.json
+++ b/manifests/batches/deepseek/000478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000478",
   "batch_fingerprint": "555e5df882182d8a5173515fca87e13f493550a8d68596a41ca671a1bb298b1b",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000478-0000-97cab07699eeff52.parquet",
-      "sha256": "97cab07699eeff521382bfeb04dd316f8ff587b60967cea62f94ece338552e39",
-      "bytes": 290704,
-      "rows": 94,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/deepseek-000478-0000-cec72fc5e1e65edb.parquet",
-      "sha256": "cec72fc5e1e65edbd3aff52c221994b3e11cef4143c2d1a14942ce08ecd387bf",
-      "bytes": 45508,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000478-0000-e732fcbcbc0a02ec.parquet",
-      "sha256": "e732fcbcbc0a02ec2da8e578f36b408e3a34988fd6a2cc1479d8a8a108167935",
-      "bytes": 36776,
-      "rows": 5,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23947",
     "deepseek:thm_23948",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023947.lean\",\"55f364181a7367be829a72dccebd57edeebf15d26e98fe4c061da48580f0fbe0\",0,\"thm_23994\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023948.lean\",\"d733797f1763dd1ea577257d386d8b40b39afaaa594bb2b785b4a649644acbc7\",0,\"thm_23995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023949.lean\",\"c16a69ccc1514b07f69f47b88a41d151d25656c0d3cfcfe1b3c8cdb23e39fde0\",0,\"thm_23996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290704,
+      "path": "data/train/p9f/deepseek-000478-0000-97cab07699eeff52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "97cab07699eeff521382bfeb04dd316f8ff587b60967cea62f94ece338552e39"
+    },
+    {
+      "bytes": 45508,
+      "path": "data/dev/p9f/deepseek-000478-0000-cec72fc5e1e65edb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cec72fc5e1e65edbd3aff52c221994b3e11cef4143c2d1a14942ce08ecd387bf"
+    },
+    {
+      "bytes": 36776,
+      "path": "data/internal_test/p9f/deepseek-000478-0000-e732fcbcbc0a02ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e732fcbcbc0a02ec2da8e578f36b408e3a34988fd6a2cc1479d8a8a108167935"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000479.json b/manifests/batches/deepseek/000479.json
index dcd3d97293adedb53475855ca24e314b11acceff..b710d9b033927d8e5825dd89b703072d09539e28 100644
--- a/manifests/batches/deepseek/000479.json
+++ b/manifests/batches/deepseek/000479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000479",
   "batch_fingerprint": "b13edbaf1409f94e31ea76a0a8e8aa47175a729701cebde57ad531aa763fcc9b",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000479-0000-e79ef26f51895297.parquet",
-      "sha256": "e79ef26f5189529732f23808020f02a6b5fec4824253c6b5da344c23f1cc0486",
-      "bytes": 274647,
-      "rows": 89,
-      "revision": "cf5fe6e598d109bc060ea0edbcc15c5961756e53"
-    },
-    {
-      "path": "data/dev/deepseek-000479-0000-5f9f7bd72e74a5fe.parquet",
-      "sha256": "5f9f7bd72e74a5feb6ac0d99be6f0cd30a19ccae330c7174c9877a4c08cf2e72",
-      "bytes": 47449,
-      "rows": 12,
-      "revision": "cf5fe6e598d109bc060ea0edbcc15c5961756e53"
-    },
-    {
-      "path": "data/internal_test/deepseek-000479-0000-daf4bdd529a5bb5a.parquet",
-      "sha256": "daf4bdd529a5bb5ae0cbd9fd5c2e53f903db43271f4cc40de362d0a8a5e639f4",
-      "bytes": 57390,
-      "rows": 15,
-      "revision": "cf5fe6e598d109bc060ea0edbcc15c5961756e53"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_23997",
     "deepseek:thm_23998",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023997.lean\",\"820b3ed9a66540d82be7a382a329eb3c93a98f4a82b03828be0154d02830aebe\",0,\"thm_24044\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023998.lean\",\"2b35bb0a43e3807a10ab7fd17b7d997784490b6ae17019e10ae642d82f6fae62\",0,\"thm_24045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_023999.lean\",\"cd22a3a6b72a782fb30e9b554bed6066ed6fe78c28bdb93c0c3400ee673310d6\",0,\"thm_24046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274647,
+      "path": "data/train/p08/deepseek-000479-0000-e79ef26f51895297.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "e79ef26f5189529732f23808020f02a6b5fec4824253c6b5da344c23f1cc0486"
+    },
+    {
+      "bytes": 47449,
+      "path": "data/dev/p08/deepseek-000479-0000-5f9f7bd72e74a5fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5f9f7bd72e74a5feb6ac0d99be6f0cd30a19ccae330c7174c9877a4c08cf2e72"
+    },
+    {
+      "bytes": 57390,
+      "path": "data/internal_test/p08/deepseek-000479-0000-daf4bdd529a5bb5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "daf4bdd529a5bb5ae0cbd9fd5c2e53f903db43271f4cc40de362d0a8a5e639f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000480.json b/manifests/batches/deepseek/000480.json
index b54b33efee86393ffb700eae7e8a52364c909e9a..e8e20373bb08312d46495ef03bbbf62389b39f14 100644
--- a/manifests/batches/deepseek/000480.json
+++ b/manifests/batches/deepseek/000480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000480",
   "batch_fingerprint": "ffd82b586c6c5965c91b284981fbd0b13e26cc2bbea1715cd64e1a4925831d67",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000480-0000-ba57122ac425d2d9.parquet",
-      "sha256": "ba57122ac425d2d91ba0a50f9690fe16293bbe2fdb185ea75dfa69e920990bc5",
-      "bytes": 265802,
-      "rows": 91,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/deepseek-000480-0000-cf238d497ca136de.parquet",
-      "sha256": "cf238d497ca136dedb9371903b9c73bc9e34810a51b27b29d993b6afb1156f20",
-      "bytes": 43929,
-      "rows": 6,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000480-0000-590d55570643bde0.parquet",
-      "sha256": "590d55570643bde0ab24f0e5acc573cce05b644b0799b8fdd8cbe313b70af087",
-      "bytes": 66867,
-      "rows": 19,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24047",
     "deepseek:thm_24048",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024047.lean\",\"478bd2008cfc66ed1bb7758a812c9530be51a5685de60206df7ff5f604dccd6f\",0,\"thm_24094\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024048.lean\",\"5ea05646e31e174a9ac97660497b09a9db18759e99e3ab4b06c0bc445f02885b\",0,\"thm_24095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024049.lean\",\"8df6073edd8e9e622ab5355df1203acc6cb9b4caedf2788f39307ad861d5996c\",0,\"thm_24096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265802,
+      "path": "data/train/p91/deepseek-000480-0000-ba57122ac425d2d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "ba57122ac425d2d91ba0a50f9690fe16293bbe2fdb185ea75dfa69e920990bc5"
+    },
+    {
+      "bytes": 43929,
+      "path": "data/dev/p91/deepseek-000480-0000-cf238d497ca136de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cf238d497ca136dedb9371903b9c73bc9e34810a51b27b29d993b6afb1156f20"
+    },
+    {
+      "bytes": 66867,
+      "path": "data/internal_test/p91/deepseek-000480-0000-590d55570643bde0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "590d55570643bde0ab24f0e5acc573cce05b644b0799b8fdd8cbe313b70af087"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000481.json b/manifests/batches/deepseek/000481.json
index ffdd4b64980abe18dd9211d7386317f884ac889b..50424afbbce483ae47a11230713fa09237eddd14 100644
--- a/manifests/batches/deepseek/000481.json
+++ b/manifests/batches/deepseek/000481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000481",
   "batch_fingerprint": "76bdb0ef0f019cf94ecf4d8f88a41f290bd45a6074e44558d067bd497cab04d6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000481-0000-42e0902ad1a14182.parquet",
-      "sha256": "42e0902ad1a141829a1edf2c3c3b9c06f753a58e3da3552ac5192288fd13e534",
-      "bytes": 339318,
-      "rows": 102,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/deepseek-000481-0000-aa1904c2007ee179.parquet",
-      "sha256": "aa1904c2007ee179afd15e344b226a50aa9ac21aa60e8e42c728f4350d7dd063",
-      "bytes": 50424,
-      "rows": 13,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000481-0000-6216fae72b10117d.parquet",
-      "sha256": "6216fae72b10117d1f943149500d63580ed6369d7fa949a42f9c9ca9ce0dc692",
-      "bytes": 53079,
-      "rows": 9,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24097",
     "deepseek:thm_24098",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024097.lean\",\"aee9229fd0b5449e54fe0faba18ad0eb3c635331d12ccefec8b41ef10691c73d\",0,\"thm_24144\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024098.lean\",\"50e4a93c518fb5adedf1e120f7cd14a31e634c1438b84f9ff5a726ecf0d575f1\",0,\"thm_24145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024099.lean\",\"e0b79fd2a20ed200fd87dd341f512569d63cf61ee418391f95686f93e16c5fc5\",0,\"thm_24146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339318,
+      "path": "data/train/p80/deepseek-000481-0000-42e0902ad1a14182.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "42e0902ad1a141829a1edf2c3c3b9c06f753a58e3da3552ac5192288fd13e534"
+    },
+    {
+      "bytes": 50424,
+      "path": "data/dev/p80/deepseek-000481-0000-aa1904c2007ee179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "aa1904c2007ee179afd15e344b226a50aa9ac21aa60e8e42c728f4350d7dd063"
+    },
+    {
+      "bytes": 53079,
+      "path": "data/internal_test/p80/deepseek-000481-0000-6216fae72b10117d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6216fae72b10117d1f943149500d63580ed6369d7fa949a42f9c9ca9ce0dc692"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000482.json b/manifests/batches/deepseek/000482.json
index 0f939dbd2432582c16443c4e83413c81eb9d2730..65c8b67ef6c336eb0a2a97589bc3674381fcdb69 100644
--- a/manifests/batches/deepseek/000482.json
+++ b/manifests/batches/deepseek/000482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000482",
   "batch_fingerprint": "4f8d3970574d5822bdbe4d312cc6992f26f9fcbb6ac9ca5ac5600d1297a6607e",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000482-0000-c56517541e7958cd.parquet",
-      "sha256": "c56517541e7958cdeabecc4e22981588272b20c256f7b596d332fda79a50ff9f",
-      "bytes": 380660,
-      "rows": 104,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/dev/deepseek-000482-0000-dc289a3d552f9e5d.parquet",
-      "sha256": "dc289a3d552f9e5dc166de617d28e5e9ce978bbfd20fcd3802115d76cf7504eb",
-      "bytes": 35537,
-      "rows": 3,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/internal_test/deepseek-000482-0000-7545ea51a7958575.parquet",
-      "sha256": "7545ea51a7958575b04dd1b39681c2ade73e3657f84836136786f80e3efc7e3c",
-      "bytes": 47061,
-      "rows": 8,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24147",
     "deepseek:thm_24148",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024147.lean\",\"4d7e7dcf64d4b424a11af1fa0bc42df92f0a94d0dc5affd44e132f8c6ca03f70\",0,\"thm_24194\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024148.lean\",\"f9099baa9ea0371ebe926e4805d272a5750bf7170380e47d4839f957836426c0\",0,\"thm_24195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024149.lean\",\"4d55fcbc97d950fd763dd298f71a52e431531592d87e007d9e9304d1e21ae53b\",0,\"thm_24196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380660,
+      "path": "data/train/p29/deepseek-000482-0000-c56517541e7958cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "c56517541e7958cdeabecc4e22981588272b20c256f7b596d332fda79a50ff9f"
+    },
+    {
+      "bytes": 35537,
+      "path": "data/dev/p29/deepseek-000482-0000-dc289a3d552f9e5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dc289a3d552f9e5dc166de617d28e5e9ce978bbfd20fcd3802115d76cf7504eb"
+    },
+    {
+      "bytes": 47061,
+      "path": "data/internal_test/p29/deepseek-000482-0000-7545ea51a7958575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7545ea51a7958575b04dd1b39681c2ade73e3657f84836136786f80e3efc7e3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000483.json b/manifests/batches/deepseek/000483.json
index 4521d77b9400188c20516cf3489190b8bae1e8a2..bcfa13f165c35da2b29684b299cb921355af889f 100644
--- a/manifests/batches/deepseek/000483.json
+++ b/manifests/batches/deepseek/000483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000483",
   "batch_fingerprint": "73a1fe65999e8d8688bea655c1cfa75a5b7f287b2d152634a8d72d208da4a250",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000483-0000-82ed193f4a403736.parquet",
-      "sha256": "82ed193f4a4037361c96007dcbc75bcc49ed881d9482a7936e7f9e4261f5d4cf",
-      "bytes": 330439,
-      "rows": 105,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/deepseek-000483-0000-06c2fb8199e01416.parquet",
-      "sha256": "06c2fb8199e0141676d0c533cda9eb2dede6c0b6f0cdd9c6dfaa60368214dd93",
-      "bytes": 49400,
-      "rows": 9,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000483-0000-462119a81b9dd57d.parquet",
-      "sha256": "462119a81b9dd57d17ac5a99fabde53d263f8661e136fb8eee11d74a0e1a83b7",
-      "bytes": 39564,
-      "rows": 7,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24197",
     "deepseek:thm_24198",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024197.lean\",\"05db7df2f0a9cd2ae2087cac67620423cd3ca1837a485402ade3d62e2cc97a74\",0,\"thm_24244\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024198.lean\",\"9fe562b7a8604ea086bf005a1876514ab5c79de255c854d5fae660691eb77c8e\",0,\"thm_24245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024199.lean\",\"dfa381b487a2746a23c86c5f63f01deebf78b8ebfbb7838b6112bdac14f6b7b3\",0,\"thm_24246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330439,
+      "path": "data/train/pd8/deepseek-000483-0000-82ed193f4a403736.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "82ed193f4a4037361c96007dcbc75bcc49ed881d9482a7936e7f9e4261f5d4cf"
+    },
+    {
+      "bytes": 49400,
+      "path": "data/dev/pd8/deepseek-000483-0000-06c2fb8199e01416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "06c2fb8199e0141676d0c533cda9eb2dede6c0b6f0cdd9c6dfaa60368214dd93"
+    },
+    {
+      "bytes": 39564,
+      "path": "data/internal_test/pd8/deepseek-000483-0000-462119a81b9dd57d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "462119a81b9dd57d17ac5a99fabde53d263f8661e136fb8eee11d74a0e1a83b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000484.json b/manifests/batches/deepseek/000484.json
index cd3af5751532524de5c898887456619751fd3c00..7a8fa9562448396834d76004359249aea1e8a1e3 100644
--- a/manifests/batches/deepseek/000484.json
+++ b/manifests/batches/deepseek/000484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000484",
   "batch_fingerprint": "eec56c5c4f21aa225661b608913d0f6e1ccf3df28bff925f3d697a6bb96b83c6",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000484-0000-0039702b03f8cb22.parquet",
-      "sha256": "0039702b03f8cb22d1b5870b8c970e9c01f2bbf8b22327586556a270df028a66",
-      "bytes": 331277,
-      "rows": 97,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/dev/deepseek-000484-0000-647d2eba43a75a11.parquet",
-      "sha256": "647d2eba43a75a117e2469ad71b49467d18d517b0113c1fa2035614143aae9cf",
-      "bytes": 30275,
-      "rows": 3,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/deepseek-000484-0000-8ecf67a884d43c87.parquet",
-      "sha256": "8ecf67a884d43c87ff42a0b758a86f3bab1873654d33187e3ceec7b7d9a17805",
-      "bytes": 58582,
-      "rows": 13,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24247",
     "deepseek:thm_24248",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024247.lean\",\"12d69299790552ff66340e4c2dd2a52b32cbdb1e28cf71c57c593f283ce3ad95\",0,\"thm_24294\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024248.lean\",\"dbcbbdba52fb9858d09b5eb218bd21f4b9cfcf060ed95e593d98138be31a6e8f\",0,\"thm_24295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024249.lean\",\"55ca5881f6ac5862c0984c98ccb49c91c258cebb148721a2f776986313bcd05e\",0,\"thm_24296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331277,
+      "path": "data/train/pf9/deepseek-000484-0000-0039702b03f8cb22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "0039702b03f8cb22d1b5870b8c970e9c01f2bbf8b22327586556a270df028a66"
+    },
+    {
+      "bytes": 30275,
+      "path": "data/dev/pf9/deepseek-000484-0000-647d2eba43a75a11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "647d2eba43a75a117e2469ad71b49467d18d517b0113c1fa2035614143aae9cf"
+    },
+    {
+      "bytes": 58582,
+      "path": "data/internal_test/pf9/deepseek-000484-0000-8ecf67a884d43c87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8ecf67a884d43c87ff42a0b758a86f3bab1873654d33187e3ceec7b7d9a17805"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000485.json b/manifests/batches/deepseek/000485.json
index 34414cebfe5f3263ea38869dcc3432fa1f85ef94..668f48b80d09131ade862171f57d8822c6c84b4b 100644
--- a/manifests/batches/deepseek/000485.json
+++ b/manifests/batches/deepseek/000485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000485",
   "batch_fingerprint": "30dffd1a4258146e8c7c1f04a375d04a04b9cacf9e2bf17cb3ed71f7324e282a",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000485-0000-ae5c2f9fc9e0a88c.parquet",
-      "sha256": "ae5c2f9fc9e0a88c30bc72c04e398424cfb8a069bae74446478578a378b4f273",
-      "bytes": 344837,
-      "rows": 98,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/dev/deepseek-000485-0000-5445366d093c91da.parquet",
-      "sha256": "5445366d093c91da2c2007f672a9383b9ef2028370d3ea4937898dc461048850",
-      "bytes": 37119,
-      "rows": 5,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/deepseek-000485-0000-668960c1cd7e486f.parquet",
-      "sha256": "668960c1cd7e486fb866493aadb973ddd392ac97c240845d9663048168c3a911",
-      "bytes": 90569,
-      "rows": 18,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24297",
     "deepseek:thm_24298",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024297.lean\",\"aaf8156bfc9a6b8b1c7282919b7d5953928cfc2e8bfc285d9deb34f722c94bf9\",0,\"thm_24344\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024298.lean\",\"824c651df236b972ec97c8c135dd282eaae2f458b6be3cb4e5929955d0a087f8\",0,\"thm_24345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024299.lean\",\"249147a3a0f465401a6b59d489274074dca5bfba76622faf5b37c871367eab71\",0,\"thm_24346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344837,
+      "path": "data/train/pf3/deepseek-000485-0000-ae5c2f9fc9e0a88c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "ae5c2f9fc9e0a88c30bc72c04e398424cfb8a069bae74446478578a378b4f273"
+    },
+    {
+      "bytes": 37119,
+      "path": "data/dev/pf3/deepseek-000485-0000-5445366d093c91da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5445366d093c91da2c2007f672a9383b9ef2028370d3ea4937898dc461048850"
+    },
+    {
+      "bytes": 90569,
+      "path": "data/internal_test/pf3/deepseek-000485-0000-668960c1cd7e486f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "668960c1cd7e486fb866493aadb973ddd392ac97c240845d9663048168c3a911"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000486.json b/manifests/batches/deepseek/000486.json
index e101f991df1e64bd1216c3b4bcdef43704d1c9e5..be88a3956a7ac3fe887fa92e919ff4dc624d1310 100644
--- a/manifests/batches/deepseek/000486.json
+++ b/manifests/batches/deepseek/000486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000486",
   "batch_fingerprint": "662ce68be4f8be97cd2a26c8a0055bd6a3fe8e41b3a80b714736ae808d01e0aa",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000486-0000-f82fcd1055bb7c68.parquet",
-      "sha256": "f82fcd1055bb7c684615ca180c62c65681a73fdb52669f148dfbb2268f912c34",
-      "bytes": 321306,
-      "rows": 103,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/deepseek-000486-0000-b1a4329736eb080f.parquet",
-      "sha256": "b1a4329736eb080ff98bc1021ef002269ed62914b11fa80d80f7b477eb2e4312",
-      "bytes": 32120,
-      "rows": 4,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000486-0000-ea6f45e6f2f85ef9.parquet",
-      "sha256": "ea6f45e6f2f85ef91617ec21ff074db458425c3c9793473e51f13cdcec04cf54",
-      "bytes": 41437,
-      "rows": 6,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24347",
     "deepseek:thm_24348",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024347.lean\",\"eaf85860bdb76a1f963ca86a1c6f8af7b85df68a94e7d718412ac7ba459a622b\",0,\"thm_24394\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024348.lean\",\"fbdaf53e87e934c9c54d2a3be54be91c58e4cc3f7c782dfbe9968ef33a0dd19a\",0,\"thm_24395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024349.lean\",\"ebca81d65de215bb00f861308067f60b611db6abe43084b1ffac62bc6942e7e7\",0,\"thm_24396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321306,
+      "path": "data/train/p8d/deepseek-000486-0000-f82fcd1055bb7c68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "f82fcd1055bb7c684615ca180c62c65681a73fdb52669f148dfbb2268f912c34"
+    },
+    {
+      "bytes": 32120,
+      "path": "data/dev/p8d/deepseek-000486-0000-b1a4329736eb080f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b1a4329736eb080ff98bc1021ef002269ed62914b11fa80d80f7b477eb2e4312"
+    },
+    {
+      "bytes": 41437,
+      "path": "data/internal_test/p8d/deepseek-000486-0000-ea6f45e6f2f85ef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ea6f45e6f2f85ef91617ec21ff074db458425c3c9793473e51f13cdcec04cf54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000487.json b/manifests/batches/deepseek/000487.json
index 1f4e70f6cd7e6707ed68fe1cbefe8031bf74862e..7f067d61429945df48085ffd8f910c72718ee208 100644
--- a/manifests/batches/deepseek/000487.json
+++ b/manifests/batches/deepseek/000487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000487",
   "batch_fingerprint": "40551fc1b63c3b8e076f0d30beede3e5e2caac5123c62a601dc9d27ce11c3ae8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000487-0000-590326ed733fa1f7.parquet",
-      "sha256": "590326ed733fa1f7ca25dfb61391b94e008f70c0c4616cbb1971622af0386ffd",
-      "bytes": 284947,
-      "rows": 87,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/deepseek-000487-0000-5bb2aeb45bb29096.parquet",
-      "sha256": "5bb2aeb45bb29096de28f8cf68347a94f9e65e2bbea16336ac8ecbb197a857bc",
-      "bytes": 54689,
-      "rows": 8,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000487-0000-fe5c50567b60d1ad.parquet",
-      "sha256": "fe5c50567b60d1adbd28d7923d0ae9a77517cf0ab589600a040b25ff2d947980",
-      "bytes": 69863,
-      "rows": 17,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24397",
     "deepseek:thm_24398",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024397.lean\",\"a8b4807e4ba66c73701b300a2b23c5d43ef4b9c4cf423b346c34ba27cb3c357a\",0,\"thm_24444\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024398.lean\",\"1b0ca92e3752858effecdd3a20a9db1599b4908d26bb658fec0ca85cf7cc1ec4\",0,\"thm_24445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024399.lean\",\"28a5a659e44ce6b16dca342784ae377d78ae4c3239297c3cc7776b3b5ad43f2f\",0,\"thm_24446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284947,
+      "path": "data/train/p45/deepseek-000487-0000-590326ed733fa1f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "590326ed733fa1f7ca25dfb61391b94e008f70c0c4616cbb1971622af0386ffd"
+    },
+    {
+      "bytes": 54689,
+      "path": "data/dev/p45/deepseek-000487-0000-5bb2aeb45bb29096.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5bb2aeb45bb29096de28f8cf68347a94f9e65e2bbea16336ac8ecbb197a857bc"
+    },
+    {
+      "bytes": 69863,
+      "path": "data/internal_test/p45/deepseek-000487-0000-fe5c50567b60d1ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fe5c50567b60d1adbd28d7923d0ae9a77517cf0ab589600a040b25ff2d947980"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000488.json b/manifests/batches/deepseek/000488.json
index 5adef0dc4bec74a784b2e0c6be29881c89ad0d4a..a836d4678747b5b63cacd6c5359989c7f1f79fcd 100644
--- a/manifests/batches/deepseek/000488.json
+++ b/manifests/batches/deepseek/000488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000488",
   "batch_fingerprint": "bd257072f8f5958013043c39f002377eec1cf05e8cdf019e3ad5cdf393c03b4a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000488-0000-006cb9be3262c709.parquet",
-      "sha256": "006cb9be3262c7091db7d4b15358bdbb3174b55e18778b8c9e17cdcb5c72d27a",
-      "bytes": 493100,
-      "rows": 109,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/deepseek-000488-0000-0835493437ed4154.parquet",
-      "sha256": "0835493437ed4154250d23e486469c57e1d9ea0522487eddc84a3cb8b23291a1",
-      "bytes": 56051,
-      "rows": 5,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/deepseek-000488-0000-f0ddbff14f59d925.parquet",
-      "sha256": "f0ddbff14f59d925dda79a2f9c1c2b89706c007406681d8a1b674e43d4a77640",
-      "bytes": 59835,
-      "rows": 8,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24447",
     "deepseek:thm_24448",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024447.lean\",\"421bad8ed61c2c7f4a5cefed981a7da28139b7c3840131ac39432683a9262d08\",0,\"thm_24494\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024448.lean\",\"a5f4544796f34c422a381f5b7aceeb416181c08c865c5cdb57832a43ed754e29\",0,\"thm_24495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024449.lean\",\"f2f98a73de063a4294689306af6fd4e6db2718ebc83274054ed982590235709b\",0,\"thm_24496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 493100,
+      "path": "data/train/pd3/deepseek-000488-0000-006cb9be3262c709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "006cb9be3262c7091db7d4b15358bdbb3174b55e18778b8c9e17cdcb5c72d27a"
+    },
+    {
+      "bytes": 56051,
+      "path": "data/dev/pd3/deepseek-000488-0000-0835493437ed4154.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0835493437ed4154250d23e486469c57e1d9ea0522487eddc84a3cb8b23291a1"
+    },
+    {
+      "bytes": 59835,
+      "path": "data/internal_test/pd3/deepseek-000488-0000-f0ddbff14f59d925.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f0ddbff14f59d925dda79a2f9c1c2b89706c007406681d8a1b674e43d4a77640"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000489.json b/manifests/batches/deepseek/000489.json
index 2c0d76373b611b1f1e844880710fe491820e21bb..96e299b74d44d5ce295f1766ad6a752b482f33cc 100644
--- a/manifests/batches/deepseek/000489.json
+++ b/manifests/batches/deepseek/000489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000489",
   "batch_fingerprint": "5aa10cdbae5c2e8d8a9a324d5e95e9cc0390ffd759eb1c217409c866cac7ca29",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000489-0000-342f82fc4cf57b29.parquet",
-      "sha256": "342f82fc4cf57b296291c910366326cf97974cf53b110ac68767e8b7c4c7a0a9",
-      "bytes": 312404,
-      "rows": 94,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    },
-    {
-      "path": "data/dev/deepseek-000489-0000-6776bd5d711f1798.parquet",
-      "sha256": "6776bd5d711f17983b19707a0691dbdc2c5ac12b30314e3bcf2eff01b48f2891",
-      "bytes": 71293,
-      "rows": 14,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000489-0000-2f122c9c09f3c1ff.parquet",
-      "sha256": "2f122c9c09f3c1ffd5e8f4c331c6e2c4269c95c1a6726d41c110db40aff25a12",
-      "bytes": 40137,
-      "rows": 5,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24497",
     "deepseek:thm_24498",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024497.lean\",\"8501816320f304614f78e89ae6cfabdf7b80ead7d98a510b09b9394b9a4d2185\",0,\"thm_24544\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024498.lean\",\"2272759322917b9b217048b9cfc1452d44a7d18812b6e71f866be662c07d63a0\",0,\"thm_24545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024499.lean\",\"25fa864e96852f7f17db1e7737ba40418e327ceb1430eaad529f782c5c7125c0\",0,\"thm_24546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312404,
+      "path": "data/train/pdf/deepseek-000489-0000-342f82fc4cf57b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "342f82fc4cf57b296291c910366326cf97974cf53b110ac68767e8b7c4c7a0a9"
+    },
+    {
+      "bytes": 71293,
+      "path": "data/dev/pdf/deepseek-000489-0000-6776bd5d711f1798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6776bd5d711f17983b19707a0691dbdc2c5ac12b30314e3bcf2eff01b48f2891"
+    },
+    {
+      "bytes": 40137,
+      "path": "data/internal_test/pdf/deepseek-000489-0000-2f122c9c09f3c1ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2f122c9c09f3c1ffd5e8f4c331c6e2c4269c95c1a6726d41c110db40aff25a12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000490.json b/manifests/batches/deepseek/000490.json
index af5de5dbcfa020b73296bbe9ddc479348a5242be..fb9f00f1427f2bd5d479cf8ab7a89e028883b7b3 100644
--- a/manifests/batches/deepseek/000490.json
+++ b/manifests/batches/deepseek/000490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000490",
   "batch_fingerprint": "df73603a41a4c4f30747a4e5d4d465cb08f9606b57f683f7fc07da6a1bf5ed3e",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000490-0000-c8a3ffb8aa93ece3.parquet",
-      "sha256": "c8a3ffb8aa93ece35d57a5f6da2aa55a40d21d49ff2730609435687f270e3a16",
-      "bytes": 329082,
-      "rows": 102,
-      "revision": "85c2902b3ad6860b2ea342986f8444813efb4726"
-    },
-    {
-      "path": "data/dev/deepseek-000490-0000-2e523262a9da1c4b.parquet",
-      "sha256": "2e523262a9da1c4b811230581b579acc1a171e320b715b2c0a6b3fba4eba22d0",
-      "bytes": 38336,
-      "rows": 6,
-      "revision": "85c2902b3ad6860b2ea342986f8444813efb4726"
-    },
-    {
-      "path": "data/internal_test/deepseek-000490-0000-e91275c508c7f1d4.parquet",
-      "sha256": "e91275c508c7f1d4d088266c329e71f895858115e9389cbc26f210ca126babdb",
-      "bytes": 46819,
-      "rows": 11,
-      "revision": "85c2902b3ad6860b2ea342986f8444813efb4726"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24547",
     "deepseek:thm_24548",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024547.lean\",\"2f2998a43ec91891148a319097353041d236fb0f39ac20299ebec58d9c422108\",0,\"thm_24594\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024548.lean\",\"8bcc87d2f8b663869f896c66f7656085b82485068876e25489ba097aca07f159\",0,\"thm_24595\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024549.lean\",\"02fdbc5ee62ec31b027e4384c79e25f3cc1474827c766a5d60023569c90cb6ca\",0,\"thm_24596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329082,
+      "path": "data/train/p1e/deepseek-000490-0000-c8a3ffb8aa93ece3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "c8a3ffb8aa93ece35d57a5f6da2aa55a40d21d49ff2730609435687f270e3a16"
+    },
+    {
+      "bytes": 38336,
+      "path": "data/dev/p1e/deepseek-000490-0000-2e523262a9da1c4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2e523262a9da1c4b811230581b579acc1a171e320b715b2c0a6b3fba4eba22d0"
+    },
+    {
+      "bytes": 46819,
+      "path": "data/internal_test/p1e/deepseek-000490-0000-e91275c508c7f1d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e91275c508c7f1d4d088266c329e71f895858115e9389cbc26f210ca126babdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000491.json b/manifests/batches/deepseek/000491.json
index db7a4af3e2f72fbc6e08c7e9404de6682d7a1eeb..3ec1448acd2bc961fdeab225e8010228fa355cb6 100644
--- a/manifests/batches/deepseek/000491.json
+++ b/manifests/batches/deepseek/000491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000491",
   "batch_fingerprint": "998b3a16cbcac34db62413cf3646e515d95a58d198cb275f17b9164fb6e1c177",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000491-0000-c84275e09382c6a0.parquet",
-      "sha256": "c84275e09382c6a041350abd7b0e718dd1daf59693f2b6295e07856b7f591fbb",
-      "bytes": 330522,
-      "rows": 102,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/dev/deepseek-000491-0000-dcd56c8555274471.parquet",
-      "sha256": "dcd56c85552744718588b7281bfd9c7a2ce64087f2bc105e00e96e924f343cad",
-      "bytes": 41600,
-      "rows": 7,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/deepseek-000491-0000-0ad8fabae8bf3bac.parquet",
-      "sha256": "0ad8fabae8bf3bac66bc9676d63cd4f5da9b7d2da5f63138425a34a213213a65",
-      "bytes": 68014,
-      "rows": 19,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24597",
     "deepseek:thm_24598",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024597.lean\",\"e1f0b9d8cbe4f7dabb1bc32e147ace68ca5d334b68225a56e8d408a1b55f29ee\",0,\"thm_24644\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024598.lean\",\"81cc4526168d35b80f99220d832099effbab74ce86ad52b5c9104743100a3402\",0,\"thm_24645\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024599.lean\",\"56e435b6560635399240f5b3f98e275120c356122ea59f21e2f78c5b6b01a8a9\",0,\"thm_24646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330522,
+      "path": "data/train/pec/deepseek-000491-0000-c84275e09382c6a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "c84275e09382c6a041350abd7b0e718dd1daf59693f2b6295e07856b7f591fbb"
+    },
+    {
+      "bytes": 41600,
+      "path": "data/dev/pec/deepseek-000491-0000-dcd56c8555274471.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "dcd56c85552744718588b7281bfd9c7a2ce64087f2bc105e00e96e924f343cad"
+    },
+    {
+      "bytes": 68014,
+      "path": "data/internal_test/pec/deepseek-000491-0000-0ad8fabae8bf3bac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0ad8fabae8bf3bac66bc9676d63cd4f5da9b7d2da5f63138425a34a213213a65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000492.json b/manifests/batches/deepseek/000492.json
index f21fe6788378c16de0395327a94f171c1cc2782a..ef92ed3eb6d240a10b40d28b18754cc820944137 100644
--- a/manifests/batches/deepseek/000492.json
+++ b/manifests/batches/deepseek/000492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000492",
   "batch_fingerprint": "4b1477a7ab790d8bb43b98fd70d7834d4702bc52e8c6eb6e94780d960cdfc285",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000492-0000-f6fe5e6e453099db.parquet",
-      "sha256": "f6fe5e6e453099db04a97051ab8b2fc4d0896c0471ae4a9b860a26b43caf72a2",
-      "bytes": 317847,
-      "rows": 102,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/dev/deepseek-000492-0000-5fc676f609c85c15.parquet",
-      "sha256": "5fc676f609c85c151bd003b2734a12cb8558a7317fe7363feeeeabb88484551b",
-      "bytes": 41860,
-      "rows": 5,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/deepseek-000492-0000-096b70a5fe054707.parquet",
-      "sha256": "096b70a5fe05470798af51f69bd5e94c63b15317b92277bdc50c5bd130db04ba",
-      "bytes": 52722,
-      "rows": 10,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24647",
     "deepseek:thm_24648",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024647.lean\",\"5addfe1374a57697fafbaf4518131c5127dae50c25f8c477160be06146a02455\",0,\"thm_24694\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024648.lean\",\"f76fae86a1b412fec7e04236458cc709bb1a988d7fe8989035f8e7cc43d9077f\",0,\"thm_24695\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024649.lean\",\"036f2280227fafba9dcbb3df59d319cd217fe6f101ab87e389567acb1c08952d\",0,\"thm_24696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317847,
+      "path": "data/train/p0d/deepseek-000492-0000-f6fe5e6e453099db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "f6fe5e6e453099db04a97051ab8b2fc4d0896c0471ae4a9b860a26b43caf72a2"
+    },
+    {
+      "bytes": 41860,
+      "path": "data/dev/p0d/deepseek-000492-0000-5fc676f609c85c15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5fc676f609c85c151bd003b2734a12cb8558a7317fe7363feeeeabb88484551b"
+    },
+    {
+      "bytes": 52722,
+      "path": "data/internal_test/p0d/deepseek-000492-0000-096b70a5fe054707.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "096b70a5fe05470798af51f69bd5e94c63b15317b92277bdc50c5bd130db04ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000493.json b/manifests/batches/deepseek/000493.json
index d55f75e71d5389061194e7e69d01abb8adbe1fb8..de48200260aae1667c24a6ce424b676e0f76d052 100644
--- a/manifests/batches/deepseek/000493.json
+++ b/manifests/batches/deepseek/000493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000493",
   "batch_fingerprint": "0962eaba42ff338ef3d4a302a68e5880a94b2c123684f3455d333c1de767861b",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000493-0000-9389277d1702b864.parquet",
-      "sha256": "9389277d1702b8642b76af1d846bcfbb6e35b72162797fa18d1ca9ee5a4996ce",
-      "bytes": 329524,
-      "rows": 104,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/deepseek-000493-0000-8630fbd7f32899fb.parquet",
-      "sha256": "8630fbd7f32899fbc2931661ee9c27b7312f1f8a87928bbbc5d3a567531d11bd",
-      "bytes": 53585,
-      "rows": 13,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24697",
     "deepseek:thm_24699",
@@ -171,5 +155,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024697.lean\",\"36cf0062b31cd374f85e5a178e1aaa0dd9071b1d3ec4b962dd2f7f9cdac7a89e\",0,\"thm_24744\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024698.lean\",\"50e913bca1b595d09e8f60388889b0c2fec9f5189cd545b20c80ef4440e6974b\",0,\"thm_24745\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024699.lean\",\"e99b24b8a9feea4cf0718fb18e8ab05d2d2dab7ccb6dd1ef7dddc158fda13d3a\",0,\"thm_24746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329524,
+      "path": "data/train/pd1/deepseek-000493-0000-9389277d1702b864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "9389277d1702b8642b76af1d846bcfbb6e35b72162797fa18d1ca9ee5a4996ce"
+    },
+    {
+      "bytes": 53585,
+      "path": "data/internal_test/pd1/deepseek-000493-0000-8630fbd7f32899fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8630fbd7f32899fbc2931661ee9c27b7312f1f8a87928bbbc5d3a567531d11bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000494.json b/manifests/batches/deepseek/000494.json
index adf9485e31ac1bb7144748da4e7275f89c85d959..97f4737c63d1bc90ce5834bbfdfe6e436c0a59ce 100644
--- a/manifests/batches/deepseek/000494.json
+++ b/manifests/batches/deepseek/000494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000494",
   "batch_fingerprint": "4c8d871c66801dcf58d36ea21c9ce6f944527de666f0a8634f50a402aa968e6d",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000494-0000-06dd5d7199259415.parquet",
-      "sha256": "06dd5d719925941528d9bd96644058e927e99d33440c60b3f9a0204dcde4a467",
-      "bytes": 344462,
-      "rows": 109,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/dev/deepseek-000494-0000-f1f291e83e335ea9.parquet",
-      "sha256": "f1f291e83e335ea92b1b0ff9c30529aa2bd6ffa57612ec7e3de1241f0d77f8a2",
-      "bytes": 29202,
-      "rows": 2,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/deepseek-000494-0000-7f14e1ae110c6cd9.parquet",
-      "sha256": "7f14e1ae110c6cd92146f6187c91eb09c6a9136807df8b77c05a381ca5a918ca",
-      "bytes": 87310,
-      "rows": 22,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24747",
     "deepseek:thm_24748",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024747.lean\",\"b1d45f2e07306adb94ea1304a81d5c34e8cc4f7d30b2d1c3f48f55e78e74469e\",0,\"thm_24794\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024748.lean\",\"1a6baac922cd0eae124b998c105ce0e0d55caeb22cceef07ec9c853ec77bfd7c\",0,\"thm_24795\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024749.lean\",\"882edf15c2ef78a893d65827aa548e457a3b8cd87d67a17111b24f764a1a0234\",0,\"thm_24796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344462,
+      "path": "data/train/pf5/deepseek-000494-0000-06dd5d7199259415.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "06dd5d719925941528d9bd96644058e927e99d33440c60b3f9a0204dcde4a467"
+    },
+    {
+      "bytes": 29202,
+      "path": "data/dev/pf5/deepseek-000494-0000-f1f291e83e335ea9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f1f291e83e335ea92b1b0ff9c30529aa2bd6ffa57612ec7e3de1241f0d77f8a2"
+    },
+    {
+      "bytes": 87310,
+      "path": "data/internal_test/pf5/deepseek-000494-0000-7f14e1ae110c6cd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7f14e1ae110c6cd92146f6187c91eb09c6a9136807df8b77c05a381ca5a918ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000495.json b/manifests/batches/deepseek/000495.json
index 0fb4b998ddc448634b5999dddaef1a61c97e4dbb..ebb25b46334da51ae3ec7e703ca852ab741ad6ad 100644
--- a/manifests/batches/deepseek/000495.json
+++ b/manifests/batches/deepseek/000495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000495",
   "batch_fingerprint": "5df66437b9ce6d242f0c102446d1872f6f382078072af6735d6401334b16c1b8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000495-0000-5f563f7f71aaf040.parquet",
-      "sha256": "5f563f7f71aaf0401ecf45ba0bd88f39ed8f1bd2b4590d9a606ed8434e8abc29",
-      "bytes": 393554,
-      "rows": 113,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/dev/deepseek-000495-0000-f9605ee9a4bf9702.parquet",
-      "sha256": "f9605ee9a4bf9702ac1023c49ffb83da14340dc9e1487df8f0c6621eda6a4a0a",
-      "bytes": 36225,
-      "rows": 5,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000495-0000-46daa6f6072bdd99.parquet",
-      "sha256": "46daa6f6072bdd996d21b31efa582c939fd7653f15ee7ef86e5216e8ac64dc00",
-      "bytes": 53992,
-      "rows": 11,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24797",
     "deepseek:thm_24798",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024797.lean\",\"f71c8e60d1facead2f0740709d68191567cbc3c1bc288bfa31adbe352925e90b\",0,\"thm_24844\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024798.lean\",\"ab89744d9b7a31ec7ecc7f2cd014fda145626b0e50d9160ae6d3f78376a8924e\",0,\"thm_24845\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024799.lean\",\"f4336b25748b8f33ce3d8c6421fbe1b5fd20249c3d73130ebb9346d6ec4056d4\",0,\"thm_24846\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393554,
+      "path": "data/train/pf2/deepseek-000495-0000-5f563f7f71aaf040.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "5f563f7f71aaf0401ecf45ba0bd88f39ed8f1bd2b4590d9a606ed8434e8abc29"
+    },
+    {
+      "bytes": 36225,
+      "path": "data/dev/pf2/deepseek-000495-0000-f9605ee9a4bf9702.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f9605ee9a4bf9702ac1023c49ffb83da14340dc9e1487df8f0c6621eda6a4a0a"
+    },
+    {
+      "bytes": 53992,
+      "path": "data/internal_test/pf2/deepseek-000495-0000-46daa6f6072bdd99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "46daa6f6072bdd996d21b31efa582c939fd7653f15ee7ef86e5216e8ac64dc00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000496.json b/manifests/batches/deepseek/000496.json
index 0d769c69b3492b07aa66833beecc79ce87745391..eac38de9002b3ca543b075f3a46e26eb45f5380a 100644
--- a/manifests/batches/deepseek/000496.json
+++ b/manifests/batches/deepseek/000496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000496",
   "batch_fingerprint": "03bd54a3b5c206a1d76a1692a20cc61ee81a7e53c25e3cfe147afec84bcc5010",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000496-0000-2fd4f87a5504afad.parquet",
-      "sha256": "2fd4f87a5504afad05a707788c900194aa8bec56d41d41d0a7df4317760a995a",
-      "bytes": 297337,
-      "rows": 85,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/dev/deepseek-000496-0000-17914225b83b5f40.parquet",
-      "sha256": "17914225b83b5f404b9316c1138bd7e80da728d5218f94d206f4fa09138b9475",
-      "bytes": 49675,
-      "rows": 4,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/deepseek-000496-0000-2c74119386d035bd.parquet",
-      "sha256": "2c74119386d035bda1b63b7df36b4a9c7f9e0ca4920c0f35984ea587cc336490",
-      "bytes": 61449,
-      "rows": 19,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24847",
     "deepseek:thm_24848",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024847.lean\",\"68c1974f069581fa5c5edfb69b0429c4d2b511c0b9dad802fb7592d3bb412c46\",0,\"thm_24894\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024848.lean\",\"18591103f6b250d16323c8412f52b9985d393cfc6c37988cc5fa4c3d38cb0724\",0,\"thm_24895\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024849.lean\",\"31738f25f0f4d27c64e790c6d2edcd5d1b504b30aab89093dc4481c6433f1fb6\",0,\"thm_24896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297337,
+      "path": "data/train/p14/deepseek-000496-0000-2fd4f87a5504afad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "2fd4f87a5504afad05a707788c900194aa8bec56d41d41d0a7df4317760a995a"
+    },
+    {
+      "bytes": 49675,
+      "path": "data/dev/p14/deepseek-000496-0000-17914225b83b5f40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17914225b83b5f404b9316c1138bd7e80da728d5218f94d206f4fa09138b9475"
+    },
+    {
+      "bytes": 61449,
+      "path": "data/internal_test/p14/deepseek-000496-0000-2c74119386d035bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2c74119386d035bda1b63b7df36b4a9c7f9e0ca4920c0f35984ea587cc336490"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000497.json b/manifests/batches/deepseek/000497.json
index 2e75a089a640b8a61581d07b2f9db3d7f0e72ca8..7a5f91bfdf5396c3de372d3b5813096014223526 100644
--- a/manifests/batches/deepseek/000497.json
+++ b/manifests/batches/deepseek/000497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000497",
   "batch_fingerprint": "dae36c602a36fb9754267ae7ba374123012fb1c669a08327c3fa65eac7529032",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000497-0000-64c5f493f4bb544f.parquet",
-      "sha256": "64c5f493f4bb544fa254724f8389b2700a868474a5008761b4648e5c0aad1da5",
-      "bytes": 375980,
-      "rows": 108,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/dev/deepseek-000497-0000-65e436653ab86bf6.parquet",
-      "sha256": "65e436653ab86bf666d9807fb8ba540c3d12f9d4c9ac60620157d22c2872c163",
-      "bytes": 50430,
-      "rows": 7,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/deepseek-000497-0000-ffd8720eccdd61de.parquet",
-      "sha256": "ffd8720eccdd61de7163b328e7a6ade87469426249cb9eed9e227abd27498764",
-      "bytes": 62359,
-      "rows": 14,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24897",
     "deepseek:thm_24898",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024897.lean\",\"e18c3f6626848087802dd69915ba0096932333081ed2a54039ba6b2c2fd77b5b\",0,\"thm_24944\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024898.lean\",\"5c3e4656b2eeed27ba52d11239e35026c503bfda64cf9b2ff6d2aaf4438bffdb\",0,\"thm_24945\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024899.lean\",\"41309854e6874c814840f2a69e8a5f9f8c85fd550aa9a4598f339fba932d8d02\",0,\"thm_24946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375980,
+      "path": "data/train/p91/deepseek-000497-0000-64c5f493f4bb544f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "64c5f493f4bb544fa254724f8389b2700a868474a5008761b4648e5c0aad1da5"
+    },
+    {
+      "bytes": 50430,
+      "path": "data/dev/p91/deepseek-000497-0000-65e436653ab86bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "65e436653ab86bf666d9807fb8ba540c3d12f9d4c9ac60620157d22c2872c163"
+    },
+    {
+      "bytes": 62359,
+      "path": "data/internal_test/p91/deepseek-000497-0000-ffd8720eccdd61de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ffd8720eccdd61de7163b328e7a6ade87469426249cb9eed9e227abd27498764"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000498.json b/manifests/batches/deepseek/000498.json
index 6672b713467b533b8b46acce5c2163bf292338fa..25282f9240973a7bd0fafebeeaa032aeb99f6874 100644
--- a/manifests/batches/deepseek/000498.json
+++ b/manifests/batches/deepseek/000498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000498",
   "batch_fingerprint": "8ebb63526ed6346df6eb6eb1c48f2dd0cdaa9c21b4aed8ebf93a6c159ec2aabc",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000498-0000-b9c4fe766b022dd6.parquet",
-      "sha256": "b9c4fe766b022dd698f79047e029f7baa5ea4e9a0763a100b1ea3a447acccfd5",
-      "bytes": 326746,
-      "rows": 103,
-      "revision": "90764ad85ff25998b33365b6199cca0ca0834be9"
-    },
-    {
-      "path": "data/dev/deepseek-000498-0000-cf69aa48d8ba5dba.parquet",
-      "sha256": "cf69aa48d8ba5dbae1a393be64e4bef4f51d7bb064f34dbd72f34514c87469dc",
-      "bytes": 29404,
-      "rows": 2,
-      "revision": "90764ad85ff25998b33365b6199cca0ca0834be9"
-    },
-    {
-      "path": "data/internal_test/deepseek-000498-0000-9849d3d21064d3c1.parquet",
-      "sha256": "9849d3d21064d3c1754d462f5f5757a76a714d5af6e2c0a3c228d131552a810b",
-      "bytes": 53051,
-      "rows": 12,
-      "revision": "90764ad85ff25998b33365b6199cca0ca0834be9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24947",
     "deepseek:thm_24948",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024947.lean\",\"af0a03741331410de48e5514f6f521b9690e4a8a57bc2b75d88bb850f9f9fda0\",0,\"thm_24995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024948.lean\",\"31bca0e30b92b960a251bbc33271cc2fcdafb87889f923edacfb3fd303b2df90\",0,\"thm_24996\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024949.lean\",\"0cf01245b55e485c91e2ab19d0301f9fed005de539e5bc080360160e99ba2665\",0,\"thm_24997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326746,
+      "path": "data/train/p47/deepseek-000498-0000-b9c4fe766b022dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "b9c4fe766b022dd698f79047e029f7baa5ea4e9a0763a100b1ea3a447acccfd5"
+    },
+    {
+      "bytes": 29404,
+      "path": "data/dev/p47/deepseek-000498-0000-cf69aa48d8ba5dba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cf69aa48d8ba5dbae1a393be64e4bef4f51d7bb064f34dbd72f34514c87469dc"
+    },
+    {
+      "bytes": 53051,
+      "path": "data/internal_test/p47/deepseek-000498-0000-9849d3d21064d3c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9849d3d21064d3c1754d462f5f5757a76a714d5af6e2c0a3c228d131552a810b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000499.json b/manifests/batches/deepseek/000499.json
index 2859854d9a0497d65fc7c4b2f6ba9b95d577d895..53c697bf0c7964fe045f519dbcf0ccf070da1265 100644
--- a/manifests/batches/deepseek/000499.json
+++ b/manifests/batches/deepseek/000499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000499",
   "batch_fingerprint": "5669818e55aa202831281c7f769bccb5b565ec214b3f7bb8fc48728181a3ed7b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000499-0000-aa88078346bfd64e.parquet",
-      "sha256": "aa88078346bfd64e1ab606c4cf6f0d3559f25c63a222eab0a9b96a85de5812dc",
-      "bytes": 268650,
-      "rows": 88,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/deepseek-000499-0000-089aa6f7e309cb57.parquet",
-      "sha256": "089aa6f7e309cb57bec314cea7f9f5f96041040eb7120f842aa562b7c5eaf29c",
-      "bytes": 46038,
-      "rows": 8,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000499-0000-4cc28db24d3a179a.parquet",
-      "sha256": "4cc28db24d3a179aaf6616c720759ac9e415396e8ad34faf8aff639d0efebc4f",
-      "bytes": 65706,
-      "rows": 20,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_24998",
     "deepseek:thm_24999",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024997.lean\",\"d7598614f635e35295df24493f6a72057e2c87aa7c911dc230400f813bc3ff92\",0,\"thm_25045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024998.lean\",\"b002894fdfb6ab855908d50a73e64525cf6285e0e0d09da6a39c0cf14bd2e43b\",0,\"thm_25046\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_024999.lean\",\"000c105d45ba545a4ed609ecdf331c04047c1ec5742471d7db6d5f8bbe5c8be6\",0,\"thm_25047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268650,
+      "path": "data/train/paf/deepseek-000499-0000-aa88078346bfd64e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "aa88078346bfd64e1ab606c4cf6f0d3559f25c63a222eab0a9b96a85de5812dc"
+    },
+    {
+      "bytes": 46038,
+      "path": "data/dev/paf/deepseek-000499-0000-089aa6f7e309cb57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "089aa6f7e309cb57bec314cea7f9f5f96041040eb7120f842aa562b7c5eaf29c"
+    },
+    {
+      "bytes": 65706,
+      "path": "data/internal_test/paf/deepseek-000499-0000-4cc28db24d3a179a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4cc28db24d3a179aaf6616c720759ac9e415396e8ad34faf8aff639d0efebc4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000500.json b/manifests/batches/deepseek/000500.json
index d334f3841d1833fe5fd6e243521e813b80fb22a9..28d4b2a8ced3b05645c56ec955b4ca864eb20f39 100644
--- a/manifests/batches/deepseek/000500.json
+++ b/manifests/batches/deepseek/000500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000500",
   "batch_fingerprint": "88c70bc97d301eaea2464ad59b0ae364132a6c3e1838758c845a2fad13fef88b",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000500-0000-058e9de209793007.parquet",
-      "sha256": "058e9de209793007eb9fbed7ea57c717d84bf04afb2e740bd54eefad043db33b",
-      "bytes": 284214,
-      "rows": 96,
-      "revision": "a538b7094c24e1146b9d7f62a26a970ee8cc6a49"
-    },
-    {
-      "path": "data/dev/deepseek-000500-0000-8a1006c53cc7b1a3.parquet",
-      "sha256": "8a1006c53cc7b1a36e7eb377c567d46cd86bc043b350f24bef290a10cac44067",
-      "bytes": 28429,
-      "rows": 1,
-      "revision": "a538b7094c24e1146b9d7f62a26a970ee8cc6a49"
-    },
-    {
-      "path": "data/internal_test/deepseek-000500-0000-95c21e2b6b57f82c.parquet",
-      "sha256": "95c21e2b6b57f82c07251c9de2563aea8aa0b403d14bce69da7bc06d7a76ab34",
-      "bytes": 63390,
-      "rows": 18,
-      "revision": "a538b7094c24e1146b9d7f62a26a970ee8cc6a49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25048",
     "deepseek:thm_25049",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025047.lean\",\"3f8bbf5c9963943349607f81442b959830991956f2ac48b44f2e6f65382cac93\",0,\"thm_25095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025048.lean\",\"8394af627987096a0f78dcfd2210b6311fb7508b254da38bbda3d08baddb4810\",0,\"thm_25096\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025049.lean\",\"c52d971c0b6145bc805c1deec8df7833b040f4f224aa96b650737c6c24de3147\",0,\"thm_25097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284214,
+      "path": "data/train/pdb/deepseek-000500-0000-058e9de209793007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "058e9de209793007eb9fbed7ea57c717d84bf04afb2e740bd54eefad043db33b"
+    },
+    {
+      "bytes": 28429,
+      "path": "data/dev/pdb/deepseek-000500-0000-8a1006c53cc7b1a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8a1006c53cc7b1a36e7eb377c567d46cd86bc043b350f24bef290a10cac44067"
+    },
+    {
+      "bytes": 63390,
+      "path": "data/internal_test/pdb/deepseek-000500-0000-95c21e2b6b57f82c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "95c21e2b6b57f82c07251c9de2563aea8aa0b403d14bce69da7bc06d7a76ab34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000501.json b/manifests/batches/deepseek/000501.json
index d31cfb5a28833473d07d915fe101d6965b51878a..f9f8f82efc97800c07f674f6a6dfa9f1464e3a23 100644
--- a/manifests/batches/deepseek/000501.json
+++ b/manifests/batches/deepseek/000501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000501",
   "batch_fingerprint": "8d5c305b88db02f24e687412cbb9cee78de89555979f48707d299cba9a382eb0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000501-0000-abc720b49f80683e.parquet",
-      "sha256": "abc720b49f80683e06d008911f2d2494841c02ba16b9b639f31efef8e321248b",
-      "bytes": 334166,
-      "rows": 102,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/deepseek-000501-0000-25f4506cd2d4990a.parquet",
-      "sha256": "25f4506cd2d4990a4319473e14c6623a826cfb2c5ca08a2266d191af27b39631",
-      "bytes": 46549,
-      "rows": 3,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000501-0000-74a45531845b9cdd.parquet",
-      "sha256": "74a45531845b9cdd96fa82321965ff003089972f475114cff723d8905fd8c616",
-      "bytes": 68884,
-      "rows": 20,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25098",
     "deepseek:thm_25099",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025097.lean\",\"56446344736db5ec42efc104393a936e59c57a5644502be5c620118d5bcdd52b\",0,\"thm_25145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025098.lean\",\"91e532ed17b8503276a106d4fe085b9bb08ca935d06a54bc3b81af3e57b5c66f\",0,\"thm_25146\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025099.lean\",\"f0ed8b6a1aef6ba1f6bad497dad9358aabcd297aefc8b3a5dbcfaf12c7e6d02a\",0,\"thm_25147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334166,
+      "path": "data/train/p54/deepseek-000501-0000-abc720b49f80683e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "abc720b49f80683e06d008911f2d2494841c02ba16b9b639f31efef8e321248b"
+    },
+    {
+      "bytes": 46549,
+      "path": "data/dev/p54/deepseek-000501-0000-25f4506cd2d4990a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "25f4506cd2d4990a4319473e14c6623a826cfb2c5ca08a2266d191af27b39631"
+    },
+    {
+      "bytes": 68884,
+      "path": "data/internal_test/p54/deepseek-000501-0000-74a45531845b9cdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "74a45531845b9cdd96fa82321965ff003089972f475114cff723d8905fd8c616"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000502.json b/manifests/batches/deepseek/000502.json
index 9271c7a356e8a350b95716d2c519a39f2aef3fc0..62a802101ff1fb4d25cc2362e701fafefa038eee 100644
--- a/manifests/batches/deepseek/000502.json
+++ b/manifests/batches/deepseek/000502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000502",
   "batch_fingerprint": "22b599e11e20f89a7d8316539012966d08bae9c63196a75d8d49fb7278524dcb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000502-0000-5d2f2e0ce9443fbd.parquet",
-      "sha256": "5d2f2e0ce9443fbd661b1eea41a43cec9d3e1303b4bb300a10907278c9184ab6",
-      "bytes": 319148,
-      "rows": 100,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/deepseek-000502-0000-7b145273042d8426.parquet",
-      "sha256": "7b145273042d84261ef14fab027dfa95993447cb7e63bf7b467ac0cb51b6612c",
-      "bytes": 32948,
-      "rows": 3,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000502-0000-838c9d97e2b2fb51.parquet",
-      "sha256": "838c9d97e2b2fb51891e66d4ba3f2367a1683841974dc4d59430396553e2654e",
-      "bytes": 65043,
-      "rows": 14,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25148",
     "deepseek:thm_25149",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025147.lean\",\"8a02a5bfca9b4119ff8287e62fac42c3dbd240bd4d5bd3a8fc8375b71d29d60f\",0,\"thm_25195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025148.lean\",\"0f52d5d313e6edb06337c6075d9779d610cddc42868aea16c0b0cf9884dc114f\",0,\"thm_25196\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025149.lean\",\"a859b0c34c62e3cac5947ae013a52fec641889cad3831b470fc7c1f0e34fba82\",0,\"thm_25197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319148,
+      "path": "data/train/pf7/deepseek-000502-0000-5d2f2e0ce9443fbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "5d2f2e0ce9443fbd661b1eea41a43cec9d3e1303b4bb300a10907278c9184ab6"
+    },
+    {
+      "bytes": 32948,
+      "path": "data/dev/pf7/deepseek-000502-0000-7b145273042d8426.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7b145273042d84261ef14fab027dfa95993447cb7e63bf7b467ac0cb51b6612c"
+    },
+    {
+      "bytes": 65043,
+      "path": "data/internal_test/pf7/deepseek-000502-0000-838c9d97e2b2fb51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "838c9d97e2b2fb51891e66d4ba3f2367a1683841974dc4d59430396553e2654e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000503.json b/manifests/batches/deepseek/000503.json
index c670f20476563a65c859f363fd61b383db71cf20..b44e303ab285e4c6546c20b96062d23018708765 100644
--- a/manifests/batches/deepseek/000503.json
+++ b/manifests/batches/deepseek/000503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000503",
   "batch_fingerprint": "de013285769e1aea1b447e6a8320c9c9af5729c9825d915f4daddfb0345b125f",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000503-0000-500b354484592918.parquet",
-      "sha256": "500b354484592918b8c1240a09817085eede1ba829190b22b5852491d09e5501",
-      "bytes": 308903,
-      "rows": 102,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/dev/deepseek-000503-0000-4d2879289daf1b6b.parquet",
-      "sha256": "4d2879289daf1b6beeb3b33f299ef999c42d6c93fcf30abf3e650e49024db3c1",
-      "bytes": 37147,
-      "rows": 4,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000503-0000-29b39293a1929096.parquet",
-      "sha256": "29b39293a19290963ec8f57dd4a70751bfbfb27e64b919d7f78519241060bcf8",
-      "bytes": 79966,
-      "rows": 18,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25198",
     "deepseek:thm_25199",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025197.lean\",\"078a526a5357968f7f34491439d300c4747b51999964258d7e30b16d10fc8a37\",0,\"thm_25245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025198.lean\",\"5750664e2282ecd054668adc7ed8117af8e16779e53be7331dc44ca051cb45ed\",0,\"thm_25246\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025199.lean\",\"f9779f49cd9de1c5c075414755a2d43a5207d890d20367593ea8b5f53217728a\",0,\"thm_25247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308903,
+      "path": "data/train/p2a/deepseek-000503-0000-500b354484592918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "500b354484592918b8c1240a09817085eede1ba829190b22b5852491d09e5501"
+    },
+    {
+      "bytes": 37147,
+      "path": "data/dev/p2a/deepseek-000503-0000-4d2879289daf1b6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d2879289daf1b6beeb3b33f299ef999c42d6c93fcf30abf3e650e49024db3c1"
+    },
+    {
+      "bytes": 79966,
+      "path": "data/internal_test/p2a/deepseek-000503-0000-29b39293a1929096.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "29b39293a19290963ec8f57dd4a70751bfbfb27e64b919d7f78519241060bcf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000504.json b/manifests/batches/deepseek/000504.json
index 9919f43de0584557f6bec21e802a042741437a30..4e522aa47260c560e4476b0339d85ca7afaf5e6b 100644
--- a/manifests/batches/deepseek/000504.json
+++ b/manifests/batches/deepseek/000504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000504",
   "batch_fingerprint": "e1126d2a429bf343b45dbadd417a286ecc0b19aab1d928bed2ffe3b4e38100b8",
   "evidence": {
@@ -76,29 +75,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000504-0000-b9850a03722d6264.parquet",
-      "sha256": "b9850a03722d6264da991ebdd73d013accb5902f696801c3c15333cb27ee2928",
-      "bytes": 334682,
-      "rows": 98,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/dev/deepseek-000504-0000-92be811eba26bf09.parquet",
-      "sha256": "92be811eba26bf09e695b63ffde089cf0e9da71a4f06a630b032a6edb84c4c9b",
-      "bytes": 35313,
-      "rows": 4,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000504-0000-fd6e8102d8f317e8.parquet",
-      "sha256": "fd6e8102d8f317e80f4a0d64149cf8242b11c0fdef247296cb4ebb7d30c866c1",
-      "bytes": 40821,
-      "rows": 5,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25248",
     "deepseek:thm_25249",
@@ -196,5 +173,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025246.lean\",\"1033bf6938f01ef085e8e3cbd00e692db993ef41536941035bb1f9da24737f08\",0,\"thm_25294\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025247.lean\",\"61758b5afe38837784607a00ca3ce556818b4d317293be8e56bbab7dc0e27d4f\",0,\"thm_25295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025248.lean\",\"42e34958865619484bfbb6a0e0fb0feb58d2ba5f439c06f0b15eba622cb2190d\",0,\"thm_25296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334682,
+      "path": "data/train/p53/deepseek-000504-0000-b9850a03722d6264.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "b9850a03722d6264da991ebdd73d013accb5902f696801c3c15333cb27ee2928"
+    },
+    {
+      "bytes": 35313,
+      "path": "data/dev/p53/deepseek-000504-0000-92be811eba26bf09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "92be811eba26bf09e695b63ffde089cf0e9da71a4f06a630b032a6edb84c4c9b"
+    },
+    {
+      "bytes": 40821,
+      "path": "data/internal_test/p53/deepseek-000504-0000-fd6e8102d8f317e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fd6e8102d8f317e80f4a0d64149cf8242b11c0fdef247296cb4ebb7d30c866c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000505.json b/manifests/batches/deepseek/000505.json
index 8a047bcb7d305d141d18b85761e0ce075e6e01ea..b3208595f3de4ff3e96472eff7b20e1ed408ff78 100644
--- a/manifests/batches/deepseek/000505.json
+++ b/manifests/batches/deepseek/000505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000505",
   "batch_fingerprint": "82459663729abd76dcd7fc13c472c92b343955cdded930b81d8ebfd186bfa6da",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000505-0000-408e8bdf19adbdc5.parquet",
-      "sha256": "408e8bdf19adbdc53af39cf78c96d64e0785fcdd51d0c00d79bead52a0c43408",
-      "bytes": 284398,
-      "rows": 94,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/deepseek-000505-0000-2de7f2bf94999766.parquet",
-      "sha256": "2de7f2bf9499976649f0b61d6a0106d942093478823a154cbb5cfa33f6ea6a98",
-      "bytes": 46052,
-      "rows": 10,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000505-0000-66f10222aa978694.parquet",
-      "sha256": "66f10222aa978694681090f53ba4d3d6de755031f9809159c4eec5c6d1f9c95b",
-      "bytes": 49765,
-      "rows": 13,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25298",
     "deepseek:thm_25299",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025297.lean\",\"942f3dc9e35f1c86798a8bea28e7e00672104fa2cee742c126f87c1cf76f1cc8\",0,\"thm_25345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025298.lean\",\"49be54807120410406d472c34f0e02d9147e9a341b0b321ecacd532b51e897ce\",0,\"thm_25346\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025299.lean\",\"970b3cc96da68923b6dbcd679671a9931974ed397eee81b8509390357a93fc0c\",0,\"thm_25347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284398,
+      "path": "data/train/p24/deepseek-000505-0000-408e8bdf19adbdc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "408e8bdf19adbdc53af39cf78c96d64e0785fcdd51d0c00d79bead52a0c43408"
+    },
+    {
+      "bytes": 46052,
+      "path": "data/dev/p24/deepseek-000505-0000-2de7f2bf94999766.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2de7f2bf9499976649f0b61d6a0106d942093478823a154cbb5cfa33f6ea6a98"
+    },
+    {
+      "bytes": 49765,
+      "path": "data/internal_test/p24/deepseek-000505-0000-66f10222aa978694.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "66f10222aa978694681090f53ba4d3d6de755031f9809159c4eec5c6d1f9c95b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000506.json b/manifests/batches/deepseek/000506.json
index fe00fc82b09654becee050c3a68633c625ef6545..92719a33399c936f90fb093f53cf0807ae9336ce 100644
--- a/manifests/batches/deepseek/000506.json
+++ b/manifests/batches/deepseek/000506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000506",
   "batch_fingerprint": "fa2dad630a6bb0637de4f0844c665c1bd699e3cff335d536386fe45d4a35c5fb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000506-0000-13412513e384409c.parquet",
-      "sha256": "13412513e384409cea3cb421796681ce08e6e6bc1aa8119150ec58eb9fb8e3f6",
-      "bytes": 330371,
-      "rows": 104,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/deepseek-000506-0000-62a6a33d652156c4.parquet",
-      "sha256": "62a6a33d652156c4dbf9aa329161243c88f7c7466a214b512bf839ee1ed945d8",
-      "bytes": 33130,
-      "rows": 6,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000506-0000-6b88dcbb806ca6ff.parquet",
-      "sha256": "6b88dcbb806ca6ff1d7235ac7230f12cb18842ec0b39909e278c5fc3d2068b57",
-      "bytes": 48134,
-      "rows": 8,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25348",
     "deepseek:thm_25349",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025347.lean\",\"f732290c4c30e3ad74668e65a1a737d8fe6bd0833b22674f60b477bde17d5899\",0,\"thm_25395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025348.lean\",\"09e8680a9969d43fdefe5aedf0e2070d74099347f07f63b0fc5947173810093a\",0,\"thm_25396\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025349.lean\",\"c62ff877e83c32b6eac693505f0f38b9c1dea0e0581eee9c2960b4344e97ce50\",0,\"thm_25397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330371,
+      "path": "data/train/pcc/deepseek-000506-0000-13412513e384409c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "13412513e384409cea3cb421796681ce08e6e6bc1aa8119150ec58eb9fb8e3f6"
+    },
+    {
+      "bytes": 33130,
+      "path": "data/dev/pcc/deepseek-000506-0000-62a6a33d652156c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "62a6a33d652156c4dbf9aa329161243c88f7c7466a214b512bf839ee1ed945d8"
+    },
+    {
+      "bytes": 48134,
+      "path": "data/internal_test/pcc/deepseek-000506-0000-6b88dcbb806ca6ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6b88dcbb806ca6ff1d7235ac7230f12cb18842ec0b39909e278c5fc3d2068b57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000507.json b/manifests/batches/deepseek/000507.json
index f39b5fbf9ab3532d307b281fec10b657dd730e87..9d5e7d801fd6bf12c81b76f0b56df4d20b588cf1 100644
--- a/manifests/batches/deepseek/000507.json
+++ b/manifests/batches/deepseek/000507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000507",
   "batch_fingerprint": "830109fd99fcc9edf26fe08418f44d374b118191aa2024afbb20d2210b70d07c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000507-0000-837b281fc13a8332.parquet",
-      "sha256": "837b281fc13a83327f21b2d674339276cf9b36048ed4154aa0492c4c9e25aa1c",
-      "bytes": 302970,
-      "rows": 109,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000507-0000-a62018f34f90f216.parquet",
-      "sha256": "a62018f34f90f2161f71f54ebe84efaab47afcef4373ce447ba434e888ad3287",
-      "bytes": 47607,
-      "rows": 12,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000507-0000-b6eca4f18f152ead.parquet",
-      "sha256": "b6eca4f18f152ead2e418c50f1912c87a04b5d06cee4cd661e584593feafda5e",
-      "bytes": 50275,
-      "rows": 7,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25398",
     "deepseek:thm_25399",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025397.lean\",\"ae602a3f2ff0aa6d3d0f991520d1bbd2a71968dea225e22cfbaa7769fcb82bef\",0,\"thm_25445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025398.lean\",\"b99c6bdd7c847e6c88cbfbc4cb2b9a59a4660aa6a79f8ea890604faf12e30e45\",0,\"thm_25446\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025399.lean\",\"47dc7067b5a89810abf7c28315c50d898fed89c34189e666976b7403705b170f\",0,\"thm_25447\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302970,
+      "path": "data/train/p31/deepseek-000507-0000-837b281fc13a8332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "837b281fc13a83327f21b2d674339276cf9b36048ed4154aa0492c4c9e25aa1c"
+    },
+    {
+      "bytes": 47607,
+      "path": "data/dev/p31/deepseek-000507-0000-a62018f34f90f216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a62018f34f90f2161f71f54ebe84efaab47afcef4373ce447ba434e888ad3287"
+    },
+    {
+      "bytes": 50275,
+      "path": "data/internal_test/p31/deepseek-000507-0000-b6eca4f18f152ead.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b6eca4f18f152ead2e418c50f1912c87a04b5d06cee4cd661e584593feafda5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000508.json b/manifests/batches/deepseek/000508.json
index 803da9e1d62fe2d660c9f3776fcbe16aa2fa91ce..face3074c1f7075785855e58977fb42b50d1e7ef 100644
--- a/manifests/batches/deepseek/000508.json
+++ b/manifests/batches/deepseek/000508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000508",
   "batch_fingerprint": "1fe494a2944f6d14cf509df1a71faa734e02bafc8700ee238e57e60cfccb401d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000508-0000-64c3fe13c530f314.parquet",
-      "sha256": "64c3fe13c530f31495f3866ffa0814d4256a2fed7ea9e3d49db62a66dc0a1b0e",
-      "bytes": 320841,
-      "rows": 97,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000508-0000-451eb28d1a66405b.parquet",
-      "sha256": "451eb28d1a66405bdd2d39651e812f372f2f7fcfecfe33d02f54c534d686ceb0",
-      "bytes": 33532,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000508-0000-2afdd7254d6a4dde.parquet",
-      "sha256": "2afdd7254d6a4dde9bd83e285e9138361f10ec4bb73115d40476c27c7c4fd406",
-      "bytes": 58384,
-      "rows": 15,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25448",
     "deepseek:thm_25449",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025447.lean\",\"b67052bef5c8a98c8f40a375d95b191e318e7061cf4e4f9e81db7f5564557298\",0,\"thm_25495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025448.lean\",\"e364adeb9e9343a0c4b318489e59cd7bf2a1a741ce4976c39c50a7d92d2017eb\",0,\"thm_25496\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025449.lean\",\"a9ec2f15ca8c977f2f42a8269b3b2fad335ecd98f26011487a51c71d99014b56\",0,\"thm_25497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320841,
+      "path": "data/train/pfa/deepseek-000508-0000-64c3fe13c530f314.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "64c3fe13c530f31495f3866ffa0814d4256a2fed7ea9e3d49db62a66dc0a1b0e"
+    },
+    {
+      "bytes": 33532,
+      "path": "data/dev/pfa/deepseek-000508-0000-451eb28d1a66405b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "451eb28d1a66405bdd2d39651e812f372f2f7fcfecfe33d02f54c534d686ceb0"
+    },
+    {
+      "bytes": 58384,
+      "path": "data/internal_test/pfa/deepseek-000508-0000-2afdd7254d6a4dde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2afdd7254d6a4dde9bd83e285e9138361f10ec4bb73115d40476c27c7c4fd406"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000509.json b/manifests/batches/deepseek/000509.json
index 3d4f805f4553ff0193b81bae5b05e5bf8ce30fc2..e3c3bb8de7019fbe2f80a250c0289653e20a30db 100644
--- a/manifests/batches/deepseek/000509.json
+++ b/manifests/batches/deepseek/000509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000509",
   "batch_fingerprint": "428c207f09ed51a7d5c704e9be60a89dadcb99fb56945d363e81f606ce702cf1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000509-0000-f6a1946f79d02794.parquet",
-      "sha256": "f6a1946f79d02794a11c1069226b4ef6210da2ffbf32a17dfd0dfadb7d43fcf4",
-      "bytes": 340813,
-      "rows": 99,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000509-0000-c64ff8b39baf760a.parquet",
-      "sha256": "c64ff8b39baf760a90a0dabd3e27aea58264dbb01239d0e3f889d4fa695e6ccb",
-      "bytes": 30159,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000509-0000-a2a0370d8b447572.parquet",
-      "sha256": "a2a0370d8b447572967f4a6550e8f4f19a7e3e35986b1ca6507b1b14a78a1bb7",
-      "bytes": 37240,
-      "rows": 9,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25498",
     "deepseek:thm_25499",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025497.lean\",\"84ea7bb0759aeef29eba8294eb48baed4ba187a0fb06b4d2d137308ca65e9fe8\",0,\"thm_25545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025498.lean\",\"6990b5e1365838a81e59db9a3aaa420407b5beb2f7cadb7f54245df45b71cef6\",0,\"thm_25546\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025499.lean\",\"16928f49b173818e1322c7e9c048686757d422fd241f6bcd98997c713a2280b6\",0,\"thm_25547\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340813,
+      "path": "data/train/pc1/deepseek-000509-0000-f6a1946f79d02794.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "f6a1946f79d02794a11c1069226b4ef6210da2ffbf32a17dfd0dfadb7d43fcf4"
+    },
+    {
+      "bytes": 30159,
+      "path": "data/dev/pc1/deepseek-000509-0000-c64ff8b39baf760a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c64ff8b39baf760a90a0dabd3e27aea58264dbb01239d0e3f889d4fa695e6ccb"
+    },
+    {
+      "bytes": 37240,
+      "path": "data/internal_test/pc1/deepseek-000509-0000-a2a0370d8b447572.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a2a0370d8b447572967f4a6550e8f4f19a7e3e35986b1ca6507b1b14a78a1bb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000510.json b/manifests/batches/deepseek/000510.json
index e1828e4ae1c3f553c5db25fab6cfedd756b321c8..00b3c5e013e7e7c4874c32b7ca8eefaa6bd6ce0c 100644
--- a/manifests/batches/deepseek/000510.json
+++ b/manifests/batches/deepseek/000510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000510",
   "batch_fingerprint": "4ec565790612124abc25e286dd72c3a6207dd048a652abae732b092a00282bcc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000510-0000-2332e553fcd64804.parquet",
-      "sha256": "2332e553fcd64804a69c0047c0699edaa5e004367db712b60b4e99f9aa3711e3",
-      "bytes": 333221,
-      "rows": 103,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000510-0000-25f37e079c9ac8ab.parquet",
-      "sha256": "25f37e079c9ac8ab90c1487e75d39fb1ef650735d0730f94798e861045ec3848",
-      "bytes": 23593,
-      "rows": 1,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000510-0000-ae4508759fd21013.parquet",
-      "sha256": "ae4508759fd2101389fa9d4cdb3fcf66263c267db9fb04a48d604210ac73820a",
-      "bytes": 64503,
-      "rows": 16,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25548",
     "deepseek:thm_25549",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025547.lean\",\"d963718efce1e7ad646f392d239bdc63c8bbde2617975292b9cafd0ed23297bb\",0,\"thm_25595\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025548.lean\",\"a761015e9c18e3ff812ad5aa20598c60ed4bd64a094add44d69684a8bcb2a493\",0,\"thm_25596\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025549.lean\",\"c7e90bf2ad9f49573b833c671400f7b748e83b4ac04b235c5419e710c34423b4\",0,\"thm_25597\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333221,
+      "path": "data/train/p55/deepseek-000510-0000-2332e553fcd64804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "2332e553fcd64804a69c0047c0699edaa5e004367db712b60b4e99f9aa3711e3"
+    },
+    {
+      "bytes": 23593,
+      "path": "data/dev/p55/deepseek-000510-0000-25f37e079c9ac8ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "25f37e079c9ac8ab90c1487e75d39fb1ef650735d0730f94798e861045ec3848"
+    },
+    {
+      "bytes": 64503,
+      "path": "data/internal_test/p55/deepseek-000510-0000-ae4508759fd21013.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ae4508759fd2101389fa9d4cdb3fcf66263c267db9fb04a48d604210ac73820a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000511.json b/manifests/batches/deepseek/000511.json
index 6466f009dbd2894564590c039e57e2cd3e9072af..6aac307a0b05378c5e2d2e3615f7bd3c19c0ef0d 100644
--- a/manifests/batches/deepseek/000511.json
+++ b/manifests/batches/deepseek/000511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000511",
   "batch_fingerprint": "19017871abe1e21a6db632a463e0e42c81f86b11cfe7a6994a56472386f6a1b9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000511-0000-2071ac76fa501332.parquet",
-      "sha256": "2071ac76fa501332f6d3b7a29229997eaf1241ea99942fa97dd973ce472678a2",
-      "bytes": 321073,
-      "rows": 97,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000511-0000-36c592811593d3af.parquet",
-      "sha256": "36c592811593d3afd7d1044a80855a329d77a9ca67c922f9079516981eebd927",
-      "bytes": 43526,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000511-0000-8a9d0c7910f834be.parquet",
-      "sha256": "8a9d0c7910f834beeb821ff16640a20c23366633a50bbac835361f2582afad1f",
-      "bytes": 69700,
-      "rows": 18,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25598",
     "deepseek:thm_25599",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025597.lean\",\"1b983a48b268f51c64660a3d9c1861ff81512755b165d07a165e6f815d77bfe7\",0,\"thm_25645\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025598.lean\",\"9a0b035d2a0e77f5fb909328fcb2af7f469313e499e2151f272bea7de50470ff\",0,\"thm_25646\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025599.lean\",\"2f30f59d8c0216d6ea2323ed02142c5d0248547bfc1aaad289ea1e133729b5cb\",0,\"thm_25647\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321073,
+      "path": "data/train/p50/deepseek-000511-0000-2071ac76fa501332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "2071ac76fa501332f6d3b7a29229997eaf1241ea99942fa97dd973ce472678a2"
+    },
+    {
+      "bytes": 43526,
+      "path": "data/dev/p50/deepseek-000511-0000-36c592811593d3af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36c592811593d3afd7d1044a80855a329d77a9ca67c922f9079516981eebd927"
+    },
+    {
+      "bytes": 69700,
+      "path": "data/internal_test/p50/deepseek-000511-0000-8a9d0c7910f834be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8a9d0c7910f834beeb821ff16640a20c23366633a50bbac835361f2582afad1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000512.json b/manifests/batches/deepseek/000512.json
index f191ea77bab1e8803104168e28028b7c54be7e12..2f108f6265a76512b4f0c60b71b01a79b9d58117 100644
--- a/manifests/batches/deepseek/000512.json
+++ b/manifests/batches/deepseek/000512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000512",
   "batch_fingerprint": "a10201d7accc9fd91f9aeb0cc776aeb0f43c5f3ca29f27621e73d6a8001ea9f8",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000512-0000-774d76ff5b5a735e.parquet",
-      "sha256": "774d76ff5b5a735e325692eae51dba550162bbda382b0489c829a1bbc63f7fe8",
-      "bytes": 325070,
-      "rows": 96,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/deepseek-000512-0000-178db7c4d303fee5.parquet",
-      "sha256": "178db7c4d303fee5faff8975fe9b47d14069e1683d1f861093492d0c5d1eef75",
-      "bytes": 58184,
-      "rows": 8,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000512-0000-f2ff517e33e24643.parquet",
-      "sha256": "f2ff517e33e246436edf2fec2db3161798ac9681b22a775d3c39bd8e4a05d83c",
-      "bytes": 66451,
-      "rows": 8,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25648",
     "deepseek:thm_25649",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025646.lean\",\"edfcb151d6ba10b25ce70a039dbd4f97d900fe9406eb21ae1ed0d11232fb0883\",0,\"thm_25694\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025647.lean\",\"0d45c28326e9e3e62b636cacdbffef78fc1791aa2ca3ee3dc57b98d35497aa25\",0,\"thm_25695\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025648.lean\",\"041604b3d89347421f3a42689f812f24b47dadc37101d7796f4b56446b83c31d\",0,\"thm_25696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325070,
+      "path": "data/train/p63/deepseek-000512-0000-774d76ff5b5a735e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "774d76ff5b5a735e325692eae51dba550162bbda382b0489c829a1bbc63f7fe8"
+    },
+    {
+      "bytes": 58184,
+      "path": "data/dev/p63/deepseek-000512-0000-178db7c4d303fee5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "178db7c4d303fee5faff8975fe9b47d14069e1683d1f861093492d0c5d1eef75"
+    },
+    {
+      "bytes": 66451,
+      "path": "data/internal_test/p63/deepseek-000512-0000-f2ff517e33e24643.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f2ff517e33e246436edf2fec2db3161798ac9681b22a775d3c39bd8e4a05d83c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000513.json b/manifests/batches/deepseek/000513.json
index e53ea345ceced685f2eeba4ee35761c2dbf42e26..d152def961dcef452ea28c3c20652543b58cd574 100644
--- a/manifests/batches/deepseek/000513.json
+++ b/manifests/batches/deepseek/000513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000513",
   "batch_fingerprint": "659be95203c845308d4c3d01bdda46e98f0226808e5c5804cf0741acf7b72037",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000513-0000-d0afcce94caa0564.parquet",
-      "sha256": "d0afcce94caa0564e4b15d82d2b3810217081d2d9cba014848d8d50d85122652",
-      "bytes": 327446,
-      "rows": 99,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/deepseek-000513-0000-b1fe227beb12a33a.parquet",
-      "sha256": "b1fe227beb12a33a809e816c0caf21a1d58384f213eaafb723c3862de65f230a",
-      "bytes": 40939,
-      "rows": 5,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/deepseek-000513-0000-1f2c148beaab0b86.parquet",
-      "sha256": "1f2c148beaab0b86eeb75f3ac9e7a2d0f73648a03851742847989cfeb8a129d2",
-      "bytes": 40617,
-      "rows": 6,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25698",
     "deepseek:thm_25699",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025696.lean\",\"ac8de0707f6af2688efb5686a3a14982d58fcd1bf65bf8fbf4bec08b3e50374b\",0,\"thm_25744\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025697.lean\",\"8c8a3f61a49769f3d5b1c01f2372bbc81c7cc182104b3f3f6da9c54720f3a483\",0,\"thm_25745\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025698.lean\",\"aaca4dfe4b6d9a1af2be45b68b1df889b83a894a9f1e68659c9bfeaa7576e8d0\",0,\"thm_25746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327446,
+      "path": "data/train/pd8/deepseek-000513-0000-d0afcce94caa0564.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "d0afcce94caa0564e4b15d82d2b3810217081d2d9cba014848d8d50d85122652"
+    },
+    {
+      "bytes": 40939,
+      "path": "data/dev/pd8/deepseek-000513-0000-b1fe227beb12a33a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b1fe227beb12a33a809e816c0caf21a1d58384f213eaafb723c3862de65f230a"
+    },
+    {
+      "bytes": 40617,
+      "path": "data/internal_test/pd8/deepseek-000513-0000-1f2c148beaab0b86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1f2c148beaab0b86eeb75f3ac9e7a2d0f73648a03851742847989cfeb8a129d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000514.json b/manifests/batches/deepseek/000514.json
index 3f9bf286ff5b7f169bf9be449f700a373e24894b..ad771402717230b20ecebc09b8afb80b7dccf25b 100644
--- a/manifests/batches/deepseek/000514.json
+++ b/manifests/batches/deepseek/000514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000514",
   "batch_fingerprint": "9dc6820b48c832ed9c765467069ad5cd04cdc9c5cb60010765076abe86b33ef6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000514-0000-4ba11a210b0ae816.parquet",
-      "sha256": "4ba11a210b0ae8169dec70ad4115bb5a0e4b5603f1ca709749710d9f0b6b29fb",
-      "bytes": 307612,
-      "rows": 97,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/deepseek-000514-0000-2d741858c8870da3.parquet",
-      "sha256": "2d741858c8870da341d4a27cc6bb261808625d4343f31790f5877f990f1c4593",
-      "bytes": 36237,
-      "rows": 5,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/deepseek-000514-0000-5fb3b6c62ebdf1f3.parquet",
-      "sha256": "5fb3b6c62ebdf1f3ca5c7c7bf9b12a528daadf72019d301e71d430973e535a4b",
-      "bytes": 50224,
-      "rows": 12,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25748",
     "deepseek:thm_25749",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025747.lean\",\"d5da273ddb4a39730d4217350df8f649a1e1d787a51373a2803604f856eb8390\",0,\"thm_25795\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025748.lean\",\"27327a4968c8c14b4a1532fcf2727a6138241c5b7dff2048e5da19f76f30e579\",0,\"thm_25796\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025749.lean\",\"299a7e4aa5a29e6162ededb54cf451d22836fafb267edc38dde3fcc4fae3b04d\",0,\"thm_25797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307612,
+      "path": "data/train/p8b/deepseek-000514-0000-4ba11a210b0ae816.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "4ba11a210b0ae8169dec70ad4115bb5a0e4b5603f1ca709749710d9f0b6b29fb"
+    },
+    {
+      "bytes": 36237,
+      "path": "data/dev/p8b/deepseek-000514-0000-2d741858c8870da3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2d741858c8870da341d4a27cc6bb261808625d4343f31790f5877f990f1c4593"
+    },
+    {
+      "bytes": 50224,
+      "path": "data/internal_test/p8b/deepseek-000514-0000-5fb3b6c62ebdf1f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5fb3b6c62ebdf1f3ca5c7c7bf9b12a528daadf72019d301e71d430973e535a4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000515.json b/manifests/batches/deepseek/000515.json
index 9135878c553704841735b14a6a6ad697469f1575..52b71aa021bacc62143d54c495123d72b7a1a8dd 100644
--- a/manifests/batches/deepseek/000515.json
+++ b/manifests/batches/deepseek/000515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000515",
   "batch_fingerprint": "25457835a12e095234afdb4d493bac3b2f321985624f47ff18a432d659357e41",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000515-0000-b469bdeb0a048c28.parquet",
-      "sha256": "b469bdeb0a048c280a96bda9ace984f87c86540ea7584dae1bccae2e9c0d6e54",
-      "bytes": 396642,
-      "rows": 111,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000515-0000-3ef45f48795a5d79.parquet",
-      "sha256": "3ef45f48795a5d7917aeb2b5d91ee156c028fac290fc2226a5c2c3218d5f7566",
-      "bytes": 39511,
-      "rows": 6,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000515-0000-06e303441e95596e.parquet",
-      "sha256": "06e303441e95596e4b386c2cef74b513f639cd6a12bc3b74d00685f5bba085f7",
-      "bytes": 60817,
-      "rows": 17,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25798",
     "deepseek:thm_25799",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025797.lean\",\"96167784928b5e127bd7df023ef36ab08a6b104fd14237abc12ddfdc8ec9cd84\",0,\"thm_25845\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025798.lean\",\"8ea228cbff3586a0b9231a62246b81324b2b2173386a15fc7eb01c65e8b25389\",0,\"thm_25846\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025799.lean\",\"97fe6a8fc1e89ffe71f462bcde26cd9133970570341aefec984a9c80c15e0739\",0,\"thm_25847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396642,
+      "path": "data/train/p2f/deepseek-000515-0000-b469bdeb0a048c28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "b469bdeb0a048c280a96bda9ace984f87c86540ea7584dae1bccae2e9c0d6e54"
+    },
+    {
+      "bytes": 39511,
+      "path": "data/dev/p2f/deepseek-000515-0000-3ef45f48795a5d79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3ef45f48795a5d7917aeb2b5d91ee156c028fac290fc2226a5c2c3218d5f7566"
+    },
+    {
+      "bytes": 60817,
+      "path": "data/internal_test/p2f/deepseek-000515-0000-06e303441e95596e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "06e303441e95596e4b386c2cef74b513f639cd6a12bc3b74d00685f5bba085f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000516.json b/manifests/batches/deepseek/000516.json
index 731455d3d953ad9f969d7315d09370bd5c2b1097..0ed6fe8150b35bd68f793ab01854f731c73ee5f0 100644
--- a/manifests/batches/deepseek/000516.json
+++ b/manifests/batches/deepseek/000516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000516",
   "batch_fingerprint": "ee35113a16c86f3c84c02d895c8de1734a426def76999fc0cb0533c0aa5fe53a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000516-0000-9b2150fe145dc377.parquet",
-      "sha256": "9b2150fe145dc3774bc599274a49d6204c51898b53b0463b4aed1a0d733c637d",
-      "bytes": 293842,
-      "rows": 96,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000516-0000-e2533e07b5d2106d.parquet",
-      "sha256": "e2533e07b5d2106d48d839e23ed94fcd2ac328ed09418ac758aba3bc230ac1f5",
-      "bytes": 59986,
-      "rows": 10,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000516-0000-c5912ea4283d825f.parquet",
-      "sha256": "c5912ea4283d825f533d7048b8877fd111f2439ef6aad3b6465317b971ed57ff",
-      "bytes": 55517,
-      "rows": 13,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25848",
     "deepseek:thm_25849",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025847.lean\",\"286406bccbaeace0c0f6ef0d3586722817f6a477b4f24091e05c924edd58ca83\",0,\"thm_25895\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025848.lean\",\"0704fd9954dd7c6ffc1098d2c2ebb68c2ca4328719cb539fde499fe42150bd7d\",0,\"thm_25896\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025849.lean\",\"3974961056b3935e8403bad9ab42af2b3340c0fb4eff720e5ca2bef2a44bb438\",0,\"thm_25897\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293842,
+      "path": "data/train/p6f/deepseek-000516-0000-9b2150fe145dc377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "9b2150fe145dc3774bc599274a49d6204c51898b53b0463b4aed1a0d733c637d"
+    },
+    {
+      "bytes": 59986,
+      "path": "data/dev/p6f/deepseek-000516-0000-e2533e07b5d2106d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e2533e07b5d2106d48d839e23ed94fcd2ac328ed09418ac758aba3bc230ac1f5"
+    },
+    {
+      "bytes": 55517,
+      "path": "data/internal_test/p6f/deepseek-000516-0000-c5912ea4283d825f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c5912ea4283d825f533d7048b8877fd111f2439ef6aad3b6465317b971ed57ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000517.json b/manifests/batches/deepseek/000517.json
index 8dea226341f552c5a7f6060fc997d9aeb7e09159..577f0fd207043b0dbade254ee6d7b167239112cd 100644
--- a/manifests/batches/deepseek/000517.json
+++ b/manifests/batches/deepseek/000517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000517",
   "batch_fingerprint": "bb175b062d9957b3662e695793e9b32a956d4532c9fa66f0ee89ed3184fa9478",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000517-0000-51702d4e81116637.parquet",
-      "sha256": "51702d4e811166375c07a2e9df8fe881b6dfddd09e9d99a1f72839c2c01b9625",
-      "bytes": 346507,
-      "rows": 98,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/dev/deepseek-000517-0000-15f3402c72aff495.parquet",
-      "sha256": "15f3402c72aff49586ce1fbf94d162252e555200e1344c45184481f7602374f0",
-      "bytes": 31550,
-      "rows": 2,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000517-0000-e7ca2c399985c050.parquet",
-      "sha256": "e7ca2c399985c05050acb05f6256b2ed5ae7483c4782d48fa37145cabf1dce06",
-      "bytes": 48947,
-      "rows": 9,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25898",
     "deepseek:thm_25899",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025897.lean\",\"26929ec7008e5986f858d98593de3bf21fab3585b875a317d8059759c1b0dc33\",0,\"thm_25945\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025898.lean\",\"01e55bdba7d3e743a732c4dcdcd790685ce73a7f2aa4d6464515664bf4a905ef\",0,\"thm_25946\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025899.lean\",\"f9725d629fa5cbace6c178c38cd47018046622f891a0056685d0120f45ad93b2\",0,\"thm_25947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346507,
+      "path": "data/train/pf3/deepseek-000517-0000-51702d4e81116637.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "51702d4e811166375c07a2e9df8fe881b6dfddd09e9d99a1f72839c2c01b9625"
+    },
+    {
+      "bytes": 31550,
+      "path": "data/dev/pf3/deepseek-000517-0000-15f3402c72aff495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "15f3402c72aff49586ce1fbf94d162252e555200e1344c45184481f7602374f0"
+    },
+    {
+      "bytes": 48947,
+      "path": "data/internal_test/pf3/deepseek-000517-0000-e7ca2c399985c050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e7ca2c399985c05050acb05f6256b2ed5ae7483c4782d48fa37145cabf1dce06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000518.json b/manifests/batches/deepseek/000518.json
index b7370b26c0c19e7d52121c9c62e2f0729aa72167..19e688dedb6b1d828e88843e47ea9c834515e1ab 100644
--- a/manifests/batches/deepseek/000518.json
+++ b/manifests/batches/deepseek/000518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000518",
   "batch_fingerprint": "47df195de4378aaa87cbaab64f2bb5b9704f2795d8423e4ad952d7326f3d7981",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000518-0000-05dc16cefb6f1159.parquet",
-      "sha256": "05dc16cefb6f1159ef56095a12426eda9b57bbf36a98a5dace8fb87792a0aefd",
-      "bytes": 393766,
-      "rows": 82,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/dev/deepseek-000518-0000-9e575d8a62ed0798.parquet",
-      "sha256": "9e575d8a62ed0798d012bd4a2730e5a7a785daecb1081f28eb1e6f735509a458",
-      "bytes": 83576,
-      "rows": 21,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/internal_test/deepseek-000518-0000-76fe8417b2b2221d.parquet",
-      "sha256": "76fe8417b2b2221d0b4e77b9be91124714db4d1d58d2e135dbeca35a924e478a",
-      "bytes": 56000,
-      "rows": 12,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25949",
     "deepseek:thm_25950",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025947.lean\",\"5e869df350739ada088e66847344f9b8c00f541511413c8a391bb3f0d761eafd\",0,\"thm_25995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025948.lean\",\"40c185f03e133dc1690907ff3bd831d2b96414a7056e67c94c74ef1ad59c2189\",0,\"thm_25996\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025949.lean\",\"710e5b06d3895e9e660638dd22240065e1ee5f2076c6ae1716f6f4eba5ec0b1c\",0,\"thm_25997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393766,
+      "path": "data/train/p4e/deepseek-000518-0000-05dc16cefb6f1159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "05dc16cefb6f1159ef56095a12426eda9b57bbf36a98a5dace8fb87792a0aefd"
+    },
+    {
+      "bytes": 83576,
+      "path": "data/dev/p4e/deepseek-000518-0000-9e575d8a62ed0798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9e575d8a62ed0798d012bd4a2730e5a7a785daecb1081f28eb1e6f735509a458"
+    },
+    {
+      "bytes": 56000,
+      "path": "data/internal_test/p4e/deepseek-000518-0000-76fe8417b2b2221d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "76fe8417b2b2221d0b4e77b9be91124714db4d1d58d2e135dbeca35a924e478a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000519.json b/manifests/batches/deepseek/000519.json
index a22b8e10a9c78514df1a39232f4763eaef4372d4..8d960bde56ebba3e9cb3bcbb55c875fb364a0ecd 100644
--- a/manifests/batches/deepseek/000519.json
+++ b/manifests/batches/deepseek/000519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000519",
   "batch_fingerprint": "f845e9803b204935397d9169732eec7a5b672697dba8cc0c1398647ba0854968",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000519-0000-712a910b83f34cf3.parquet",
-      "sha256": "712a910b83f34cf35de0f9ef0ccbe6d016b45b849ad7bb935e176f86f6917421",
-      "bytes": 317655,
-      "rows": 103,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000519-0000-36145fbd4d14f0dc.parquet",
-      "sha256": "36145fbd4d14f0dc73ed0cce5593ef2a0afec15e1428a49869f63cd349af879f",
-      "bytes": 46049,
-      "rows": 7,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000519-0000-23a0942ab2c48667.parquet",
-      "sha256": "23a0942ab2c4866768ab6448a50904a3a24ba97e3efc1559fda7e57d38059c15",
-      "bytes": 49752,
-      "rows": 8,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_25998",
     "deepseek:thm_25999",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025997.lean\",\"fff4c4f69bb643e95fcc4ff6cdda559b5a585af00f53f1d4fe487049d3638e8a\",0,\"thm_26045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025998.lean\",\"8c378956d55e66b01ff4c7baadf91f6fdc8645921fe56b48eaaeefdbbe596aca\",0,\"thm_26046\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_025999.lean\",\"f96183ebadaec69cb5dcf5b99b4514dcfe0a307f80d1cf1b8ccb79ec716648b5\",0,\"thm_26047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317655,
+      "path": "data/train/pa1/deepseek-000519-0000-712a910b83f34cf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "712a910b83f34cf35de0f9ef0ccbe6d016b45b849ad7bb935e176f86f6917421"
+    },
+    {
+      "bytes": 46049,
+      "path": "data/dev/pa1/deepseek-000519-0000-36145fbd4d14f0dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "36145fbd4d14f0dc73ed0cce5593ef2a0afec15e1428a49869f63cd349af879f"
+    },
+    {
+      "bytes": 49752,
+      "path": "data/internal_test/pa1/deepseek-000519-0000-23a0942ab2c48667.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "23a0942ab2c4866768ab6448a50904a3a24ba97e3efc1559fda7e57d38059c15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000520.json b/manifests/batches/deepseek/000520.json
index 9ad79761e333015c8cf07121e600884c21d12121..33e4eb52ae1643608b062ff70a09cee413c21d71 100644
--- a/manifests/batches/deepseek/000520.json
+++ b/manifests/batches/deepseek/000520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000520",
   "batch_fingerprint": "3454b20eb03ccc845e1036aaab9d2ac614ac98d2aec822cb85605e6a5c45cf77",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000520-0000-caadaef550b26495.parquet",
-      "sha256": "caadaef550b26495de8655224a72492e5dc95d23292d5a1b8345c65cde246539",
-      "bytes": 341873,
-      "rows": 103,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000520-0000-a6559122fda22c8a.parquet",
-      "sha256": "a6559122fda22c8a541d9c14fc98f75568b3a1e0321e08ed542cc972a4461b9f",
-      "bytes": 37446,
-      "rows": 7,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000520-0000-bec672d25ec1aea4.parquet",
-      "sha256": "bec672d25ec1aea4c4b92524a7ccb3f1b5f98497e7279099348484b31cfbfe17",
-      "bytes": 45076,
-      "rows": 8,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26048",
     "deepseek:thm_26049",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026047.lean\",\"3284ae321985d7c29cfbdddc19778e9bfc7a78f41a0ac8c5efead13e7a5c8878\",0,\"thm_26095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026048.lean\",\"ba6494ffb23fef4897dd23af4120f959990ebff0619b30730cb7bd154916958a\",0,\"thm_26096\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026049.lean\",\"a049feb39a11d1bbf57f1412b49182efdfa2ca6546572687fb7b169995e44901\",0,\"thm_26097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341873,
+      "path": "data/train/pff/deepseek-000520-0000-caadaef550b26495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "caadaef550b26495de8655224a72492e5dc95d23292d5a1b8345c65cde246539"
+    },
+    {
+      "bytes": 37446,
+      "path": "data/dev/pff/deepseek-000520-0000-a6559122fda22c8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a6559122fda22c8a541d9c14fc98f75568b3a1e0321e08ed542cc972a4461b9f"
+    },
+    {
+      "bytes": 45076,
+      "path": "data/internal_test/pff/deepseek-000520-0000-bec672d25ec1aea4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bec672d25ec1aea4c4b92524a7ccb3f1b5f98497e7279099348484b31cfbfe17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000521.json b/manifests/batches/deepseek/000521.json
index ab8046833e5b927caff9edd1796676b4cca02065..9ed7678d3ca567d3803c875f8598ecb4d2bc5cb3 100644
--- a/manifests/batches/deepseek/000521.json
+++ b/manifests/batches/deepseek/000521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000521",
   "batch_fingerprint": "59330015fc1bc70350c8fea04c1d6e382289538ed6ea06329b89a79b0cf4750b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000521-0000-b1af78dedfd9eebb.parquet",
-      "sha256": "b1af78dedfd9eebb26a9b30b91c6ca2852167fd5ebfd230f0a7e9e0ff2ba7c3d",
-      "bytes": 326269,
-      "rows": 98,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000521-0000-16ea0af79390e7fa.parquet",
-      "sha256": "16ea0af79390e7faa2f3f92cd14cb1a721c90947ea4af2f65279a0f634536225",
-      "bytes": 31656,
-      "rows": 5,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000521-0000-1ef98b84487b4adb.parquet",
-      "sha256": "1ef98b84487b4adb9cc6d6141646bb746a70e21716fb3934a4791986301cb5f3",
-      "bytes": 54441,
-      "rows": 11,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26098",
     "deepseek:thm_26099",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026097.lean\",\"23f4f011c4fdef994612786a13462cb08e8cf19fc262bc69623de583c8d849b5\",0,\"thm_26145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026098.lean\",\"40e189e2034c185c5e1d42aa307d6ecb1c0aac85980e8c1117a59045b0c33e0a\",0,\"thm_26146\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026099.lean\",\"33076600c7ec52edc343142f31098624da85aa69f2a3770862fc5aeff0b8aa28\",0,\"thm_26147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326269,
+      "path": "data/train/pdc/deepseek-000521-0000-b1af78dedfd9eebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "b1af78dedfd9eebb26a9b30b91c6ca2852167fd5ebfd230f0a7e9e0ff2ba7c3d"
+    },
+    {
+      "bytes": 31656,
+      "path": "data/dev/pdc/deepseek-000521-0000-16ea0af79390e7fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "16ea0af79390e7faa2f3f92cd14cb1a721c90947ea4af2f65279a0f634536225"
+    },
+    {
+      "bytes": 54441,
+      "path": "data/internal_test/pdc/deepseek-000521-0000-1ef98b84487b4adb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1ef98b84487b4adb9cc6d6141646bb746a70e21716fb3934a4791986301cb5f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000522.json b/manifests/batches/deepseek/000522.json
index d61d6e5261712ca965d8aecd5518263d4623bc9a..11431a9cce36e94afaa1b63a80399de1ab041aa4 100644
--- a/manifests/batches/deepseek/000522.json
+++ b/manifests/batches/deepseek/000522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000522",
   "batch_fingerprint": "073636d19fd70c98155013f36b35ff8f933c8c41532e87b9d0099838dbeea352",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000522-0000-405570d5b842a8fd.parquet",
-      "sha256": "405570d5b842a8fd2b5e7cc23913bed27890912a4e820391c642304c75b0b5d9",
-      "bytes": 329307,
-      "rows": 100,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/deepseek-000522-0000-a9936bda43873200.parquet",
-      "sha256": "a9936bda438732006e7b6cf2b51504742fd2a8c653a2436011a051a515175fa7",
-      "bytes": 42312,
-      "rows": 8,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000522-0000-f49f3f02a34daea9.parquet",
-      "sha256": "f49f3f02a34daea9bc231b42b41ed634b78a2a17e9631a8e66bb50b62820ef30",
-      "bytes": 45839,
-      "rows": 10,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26148",
     "deepseek:thm_26149",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026147.lean\",\"c7acd750c889047398f0cd866bb38ed5c370510b14a7c0008078733f18d95e88\",0,\"thm_26195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026148.lean\",\"6c732c3df4fc977f302da8e182e7afe14cc86dc84af6208f7ab111ae6421332c\",0,\"thm_26196\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026149.lean\",\"577c521bda36df3336a9a893a20236a8031f7d9dfc6d81f548dab139ee245df3\",0,\"thm_26197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329307,
+      "path": "data/train/pa4/deepseek-000522-0000-405570d5b842a8fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "405570d5b842a8fd2b5e7cc23913bed27890912a4e820391c642304c75b0b5d9"
+    },
+    {
+      "bytes": 42312,
+      "path": "data/dev/pa4/deepseek-000522-0000-a9936bda43873200.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a9936bda438732006e7b6cf2b51504742fd2a8c653a2436011a051a515175fa7"
+    },
+    {
+      "bytes": 45839,
+      "path": "data/internal_test/pa4/deepseek-000522-0000-f49f3f02a34daea9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f49f3f02a34daea9bc231b42b41ed634b78a2a17e9631a8e66bb50b62820ef30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000523.json b/manifests/batches/deepseek/000523.json
index 1f73cc8dffd8e5045fb864d819685d1b18839674..fe6519efc4e9256f50b01fbf513fdadbf07fe809 100644
--- a/manifests/batches/deepseek/000523.json
+++ b/manifests/batches/deepseek/000523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000523",
   "batch_fingerprint": "fac184e0f338ec71316353adcea1993dbdb25eb2cb1e4da145acbbb7e152ceb3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000523-0000-f03654f6332b8867.parquet",
-      "sha256": "f03654f6332b886733e9c4064b857b2b214e3e382934143fe58df21ed32b9451",
-      "bytes": 308479,
-      "rows": 100,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000523-0000-de3e91e0dfd695aa.parquet",
-      "sha256": "de3e91e0dfd695aae25ac26695f879f46c88440f2dade7bcf35ec2b82cf3347b",
-      "bytes": 39585,
-      "rows": 4,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000523-0000-3294fe394eb7c9c9.parquet",
-      "sha256": "3294fe394eb7c9c9f2db3334892071b0ccfbd22826a9f697c81a197302c9732b",
-      "bytes": 64754,
-      "rows": 14,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26198",
     "deepseek:thm_26199",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026197.lean\",\"5088b970738d6c4ff851cfbf35af91ae2a3589c3c1eee583f31fee41fde616b6\",0,\"thm_26245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026198.lean\",\"d08e964fb62a8bc22006a872ab81aa83377015488d594e2fe5ec07336b509929\",0,\"thm_26246\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026199.lean\",\"2ed915e14a72be0af66d4a6b36f3142f210bff8d53c310cb759e107e3d1de394\",0,\"thm_26247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308479,
+      "path": "data/train/pab/deepseek-000523-0000-f03654f6332b8867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "f03654f6332b886733e9c4064b857b2b214e3e382934143fe58df21ed32b9451"
+    },
+    {
+      "bytes": 39585,
+      "path": "data/dev/pab/deepseek-000523-0000-de3e91e0dfd695aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "de3e91e0dfd695aae25ac26695f879f46c88440f2dade7bcf35ec2b82cf3347b"
+    },
+    {
+      "bytes": 64754,
+      "path": "data/internal_test/pab/deepseek-000523-0000-3294fe394eb7c9c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3294fe394eb7c9c9f2db3334892071b0ccfbd22826a9f697c81a197302c9732b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000524.json b/manifests/batches/deepseek/000524.json
index 347b02806ae6d5c35f242b1fe729f834974b2b85..58640c1d970984222e6c931c62f0e58d12b22ebf 100644
--- a/manifests/batches/deepseek/000524.json
+++ b/manifests/batches/deepseek/000524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000524",
   "batch_fingerprint": "efd6a0ea0aa6ab2f1b7b27b0f7eb4fcaee27277260b9f6290831ca763e58f732",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000524-0000-f12972c0ab10d579.parquet",
-      "sha256": "f12972c0ab10d57967daa2249cece37a93ad4265c017f5379c794ec18a4c657c",
-      "bytes": 344220,
-      "rows": 100,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000524-0000-a326e0eabfb3cd87.parquet",
-      "sha256": "a326e0eabfb3cd87f133ad1cdb4736a6dee91f9b434af65e49bc8106fa212631",
-      "bytes": 49097,
-      "rows": 9,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000524-0000-29ddfd0690525798.parquet",
-      "sha256": "29ddfd069052579835c87a5e26faa3fb2a0b13986bbb8f38e235be2d9c35360e",
-      "bytes": 56543,
-      "rows": 15,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26248",
     "deepseek:thm_26249",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026247.lean\",\"a4ceccbed4807b04f90546981058a82ebd1f183e7ef4beda56b7bb877a37c5bd\",0,\"thm_26295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026248.lean\",\"60c0edf3c9abff3cb977aba2646ac53f76a2cda88fb72cf5757c93d89db9114a\",0,\"thm_26296\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026249.lean\",\"aff53c3cf278804ebc10c8c1436e50c2332186f373b5df7aff4b8ea947b01a55\",0,\"thm_26297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344220,
+      "path": "data/train/p4a/deepseek-000524-0000-f12972c0ab10d579.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "f12972c0ab10d57967daa2249cece37a93ad4265c017f5379c794ec18a4c657c"
+    },
+    {
+      "bytes": 49097,
+      "path": "data/dev/p4a/deepseek-000524-0000-a326e0eabfb3cd87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a326e0eabfb3cd87f133ad1cdb4736a6dee91f9b434af65e49bc8106fa212631"
+    },
+    {
+      "bytes": 56543,
+      "path": "data/internal_test/p4a/deepseek-000524-0000-29ddfd0690525798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "29ddfd069052579835c87a5e26faa3fb2a0b13986bbb8f38e235be2d9c35360e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000525.json b/manifests/batches/deepseek/000525.json
index 046f72877ec0311bf3d95e9a37211f8158e08c0e..cce94b96873d6ec839e9f2d81b81865fbf341e06 100644
--- a/manifests/batches/deepseek/000525.json
+++ b/manifests/batches/deepseek/000525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000525",
   "batch_fingerprint": "3a58382c58243c6b4d493bbb126d9d205e1b8e5ea796490ac47bd2257f26834c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000525-0000-8163aad72cbd409b.parquet",
-      "sha256": "8163aad72cbd409b3c4fc160dac677f4e9936451a039322159e8e1bfaca3ef2c",
-      "bytes": 333281,
-      "rows": 99,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000525-0000-aa56f34330dd9a01.parquet",
-      "sha256": "aa56f34330dd9a013d50e798cb41e7513df1726540280cd542b31f81e8307666",
-      "bytes": 41071,
-      "rows": 2,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000525-0000-cbee061543d4feb3.parquet",
-      "sha256": "cbee061543d4feb3b07c57b16f00cb1de6370b92e16aafe71d6f11eb7384f886",
-      "bytes": 72061,
-      "rows": 13,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26298",
     "deepseek:thm_26299",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026297.lean\",\"3caae1ce368dd5ddfb2808b5ed1a5a370dd96a8b51d97ff3d82504f6835bb479\",0,\"thm_26345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026298.lean\",\"eda4a74173d044d15a6745e182b316b7870df1b56578f6f5daf390542a943314\",0,\"thm_26346\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026299.lean\",\"b8f1dfdd10de23194447cc783bac0e8e333d83ca3ed5660ecbdfcfbd00472ed7\",0,\"thm_26347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333281,
+      "path": "data/train/pd4/deepseek-000525-0000-8163aad72cbd409b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "8163aad72cbd409b3c4fc160dac677f4e9936451a039322159e8e1bfaca3ef2c"
+    },
+    {
+      "bytes": 41071,
+      "path": "data/dev/pd4/deepseek-000525-0000-aa56f34330dd9a01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aa56f34330dd9a013d50e798cb41e7513df1726540280cd542b31f81e8307666"
+    },
+    {
+      "bytes": 72061,
+      "path": "data/internal_test/pd4/deepseek-000525-0000-cbee061543d4feb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cbee061543d4feb3b07c57b16f00cb1de6370b92e16aafe71d6f11eb7384f886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000526.json b/manifests/batches/deepseek/000526.json
index 216d2f4561ee9241665c7a5a715ef81bb8f65d02..1102302e50da46c2dce59ae945fe3de084379335 100644
--- a/manifests/batches/deepseek/000526.json
+++ b/manifests/batches/deepseek/000526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000526",
   "batch_fingerprint": "80d2fc032d8696ce82ccf2228fb152eee6f9a383a75ccdd3d9da6c9a82f93f48",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000526-0000-65f8106c3445400a.parquet",
-      "sha256": "65f8106c3445400a4bac7b3366ab3ca09bd83b726e8a955b94d89f5c68724ad0",
-      "bytes": 343376,
-      "rows": 103,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000526-0000-82e70ce10e855882.parquet",
-      "sha256": "82e70ce10e8558825ad54e5c693cdca054f8afdc708c1c29d3d2dea31031a75e",
-      "bytes": 35890,
-      "rows": 4,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000526-0000-615b36730ede5adf.parquet",
-      "sha256": "615b36730ede5adff88a6b387c32308e656cdd563fe417bceef8a6b8fc638e15",
-      "bytes": 53804,
-      "rows": 11,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26348",
     "deepseek:thm_26349",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026347.lean\",\"4f4dd032364c13d56f8be596c1bd51a92aa8636cf9096bc93917755de8cc866f\",0,\"thm_26395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026348.lean\",\"3d3b75cb07b732a04301ee1bf0d00f96f789642a5f87b12f9030c014fc3ccc96\",0,\"thm_26396\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026349.lean\",\"8a78ed3f351e4879e2bae3c755503a05a988bd3368fca3e7a4ba9e146b4ccb5c\",0,\"thm_26397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343376,
+      "path": "data/train/p49/deepseek-000526-0000-65f8106c3445400a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "65f8106c3445400a4bac7b3366ab3ca09bd83b726e8a955b94d89f5c68724ad0"
+    },
+    {
+      "bytes": 35890,
+      "path": "data/dev/p49/deepseek-000526-0000-82e70ce10e855882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "82e70ce10e8558825ad54e5c693cdca054f8afdc708c1c29d3d2dea31031a75e"
+    },
+    {
+      "bytes": 53804,
+      "path": "data/internal_test/p49/deepseek-000526-0000-615b36730ede5adf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "615b36730ede5adff88a6b387c32308e656cdd563fe417bceef8a6b8fc638e15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000527.json b/manifests/batches/deepseek/000527.json
index b7ef04d34afa3c95da73a91f07e2ccb01ea662b7..71d56d6adbd4a8508ca4cd5bd79af734d3aac396 100644
--- a/manifests/batches/deepseek/000527.json
+++ b/manifests/batches/deepseek/000527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000527",
   "batch_fingerprint": "02f2ed49cc2ddbff4865ddf24e4e36c6f17d020c4309fa367eb6577cbcc7d40e",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000527-0000-0fc60fceccea321d.parquet",
-      "sha256": "0fc60fceccea321de751d51cc82843edae3e57e6e8d8be09f29df994ba6fd81b",
-      "bytes": 404215,
-      "rows": 104,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/deepseek-000527-0000-878cb8e10fed96e7.parquet",
-      "sha256": "878cb8e10fed96e70af455d7c44a16e17c32e7969dd4d60b61c6604e0d53a327",
-      "bytes": 60341,
-      "rows": 10,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26398",
     "deepseek:thm_26399",
@@ -155,5 +139,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026397.lean\",\"5a73bcb101d19e3b8df7e203ba29ec22c42b98fc7a252f12fdc68cd429af653d\",0,\"thm_26445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026398.lean\",\"0f690e9bfced7fcb81aacf4ac3f4ff151715252709cc4d969cc02f2521a27b90\",0,\"thm_26446\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026399.lean\",\"aa7b296ab45c9857733f57566e531f0ab9b4a2a73a02aa6cb570c39076d0710a\",0,\"thm_26447\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404215,
+      "path": "data/train/p5d/deepseek-000527-0000-0fc60fceccea321d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "0fc60fceccea321de751d51cc82843edae3e57e6e8d8be09f29df994ba6fd81b"
+    },
+    {
+      "bytes": 60341,
+      "path": "data/internal_test/p5d/deepseek-000527-0000-878cb8e10fed96e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "878cb8e10fed96e70af455d7c44a16e17c32e7969dd4d60b61c6604e0d53a327"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000528.json b/manifests/batches/deepseek/000528.json
index 1417f436b208e8c1df3cb446911d9a68a38eec30..7bce1357842ce234cd1af8e67324572735d868db 100644
--- a/manifests/batches/deepseek/000528.json
+++ b/manifests/batches/deepseek/000528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000528",
   "batch_fingerprint": "e3efb043e8ff89ce7dd2a108e723ddda25b57b80350b4b1e76edaacf6cd66a55",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000528-0000-3f578fd100cd61e7.parquet",
-      "sha256": "3f578fd100cd61e770b249b1aadce4523ceb6870c8b0c0c20468e2e04429b0a9",
-      "bytes": 360475,
-      "rows": 100,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000528-0000-3466fad621684a85.parquet",
-      "sha256": "3466fad621684a85b4d7dfc0ccd9c08d8e88ad918a6ab234586b0fb4cf4a5656",
-      "bytes": 39480,
-      "rows": 6,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000528-0000-be6d3a79e579ae1d.parquet",
-      "sha256": "be6d3a79e579ae1dd1f84732907675c617de463952d1fd569bdfe3edaa8da06f",
-      "bytes": 44336,
-      "rows": 6,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26448",
     "deepseek:thm_26449",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026447.lean\",\"db921abb583f714e98acd532755be9b191eefc98919f928edb5a6a8d2ca2552e\",0,\"thm_26495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026448.lean\",\"013b4590403db56d3589a0ace5086c226bd0db6d0060130f166e5d495b45c333\",0,\"thm_26496\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026449.lean\",\"c224f8303b2d40364194fb9e23cefa6e699d54bd12cfd2630721eb46a25a5275\",0,\"thm_26497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360475,
+      "path": "data/train/pe4/deepseek-000528-0000-3f578fd100cd61e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "3f578fd100cd61e770b249b1aadce4523ceb6870c8b0c0c20468e2e04429b0a9"
+    },
+    {
+      "bytes": 39480,
+      "path": "data/dev/pe4/deepseek-000528-0000-3466fad621684a85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3466fad621684a85b4d7dfc0ccd9c08d8e88ad918a6ab234586b0fb4cf4a5656"
+    },
+    {
+      "bytes": 44336,
+      "path": "data/internal_test/pe4/deepseek-000528-0000-be6d3a79e579ae1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "be6d3a79e579ae1dd1f84732907675c617de463952d1fd569bdfe3edaa8da06f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000529.json b/manifests/batches/deepseek/000529.json
index c7fb5286aabe8ea52e1191dd10d1947010db3e28..e2f6f593eb414a9843553db6b62ffbedd93efa58 100644
--- a/manifests/batches/deepseek/000529.json
+++ b/manifests/batches/deepseek/000529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000529",
   "batch_fingerprint": "f7faae6c6450b50ebe0bc912b8e9306a480ad9b5028d5463d4a2ea0884f1debc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000529-0000-b9b55b951d150cf5.parquet",
-      "sha256": "b9b55b951d150cf5362fb89fec90aaa5702c45bced64676b9fa8104e9557a5f1",
-      "bytes": 316712,
-      "rows": 102,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000529-0000-8eecbc38553c7668.parquet",
-      "sha256": "8eecbc38553c76685b7de940e379ebde0a006fafec4d38e1fa0279166c31499e",
-      "bytes": 51717,
-      "rows": 9,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000529-0000-c57fa84ae78f284c.parquet",
-      "sha256": "c57fa84ae78f284cefb7298caa1978a119941c5ebd8b4affd950a7bb70d6d7b7",
-      "bytes": 42436,
-      "rows": 14,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26498",
     "deepseek:thm_26499",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026497.lean\",\"5afa2a3569bbb3e4e276faccb40e36fc24f07952a9cd5ac0582fd17c6644b5a1\",0,\"thm_26545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026498.lean\",\"9771300132dff83707621441037b4a0bdcf36f92ac3a35ffa63fdde6fcd0b7e4\",0,\"thm_26546\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026499.lean\",\"69cdd476f1dabec73a41adc1ea8d4365885a96b197be521232a56e00cf7cf627\",0,\"thm_26547\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316712,
+      "path": "data/train/p4e/deepseek-000529-0000-b9b55b951d150cf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "b9b55b951d150cf5362fb89fec90aaa5702c45bced64676b9fa8104e9557a5f1"
+    },
+    {
+      "bytes": 51717,
+      "path": "data/dev/p4e/deepseek-000529-0000-8eecbc38553c7668.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8eecbc38553c76685b7de940e379ebde0a006fafec4d38e1fa0279166c31499e"
+    },
+    {
+      "bytes": 42436,
+      "path": "data/internal_test/p4e/deepseek-000529-0000-c57fa84ae78f284c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c57fa84ae78f284cefb7298caa1978a119941c5ebd8b4affd950a7bb70d6d7b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000530.json b/manifests/batches/deepseek/000530.json
index 1d4b712dc27b32c61c70c4fb3145f77b1afd0471..0f87b7cc999daac0c30cb593b9433c67bdfaa041 100644
--- a/manifests/batches/deepseek/000530.json
+++ b/manifests/batches/deepseek/000530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000530",
   "batch_fingerprint": "f67b6ead16767510c8de4c1d56839031b2a98dc7259d527d85d0c0552259a40f",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000530-0000-9f9528f1dc2d2e90.parquet",
-      "sha256": "9f9528f1dc2d2e90a634fe4da8f35bb37b9bfdf4c14bc63b6635ac834618a96b",
-      "bytes": 344104,
-      "rows": 102,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/deepseek-000530-0000-1a0aa7dfa9df8d1d.parquet",
-      "sha256": "1a0aa7dfa9df8d1d840d696d070024cca21bfeb5b8cdeca44ed1fb64fa09a800",
-      "bytes": 29378,
-      "rows": 3,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/deepseek-000530-0000-e315e047fb93b529.parquet",
-      "sha256": "e315e047fb93b529ef4de8ffc3b4a91daa55c7adab554e0b61f33f1635d815f8",
-      "bytes": 52907,
-      "rows": 12,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26548",
     "deepseek:thm_26549",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026547.lean\",\"fe92e5d40771e7acd7d84af098c360923059dd597ba20f18432426061fdbd2a8\",0,\"thm_26595\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026548.lean\",\"ba9f153022fc74914bc993232ccab8f30a39af95385ec192c5cdfa286bb7b4e4\",0,\"thm_26596\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026549.lean\",\"27578929688651952f242be740023c66e29f03cee850110b6aaa1201ae2ad25a\",0,\"thm_26597\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344104,
+      "path": "data/train/p61/deepseek-000530-0000-9f9528f1dc2d2e90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "9f9528f1dc2d2e90a634fe4da8f35bb37b9bfdf4c14bc63b6635ac834618a96b"
+    },
+    {
+      "bytes": 29378,
+      "path": "data/dev/p61/deepseek-000530-0000-1a0aa7dfa9df8d1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1a0aa7dfa9df8d1d840d696d070024cca21bfeb5b8cdeca44ed1fb64fa09a800"
+    },
+    {
+      "bytes": 52907,
+      "path": "data/internal_test/p61/deepseek-000530-0000-e315e047fb93b529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e315e047fb93b529ef4de8ffc3b4a91daa55c7adab554e0b61f33f1635d815f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000531.json b/manifests/batches/deepseek/000531.json
index dc205fff4f803e59778bc0f6e7707bbbe76b7109..23bb5000036175d222676c7301383828c2204ac1 100644
--- a/manifests/batches/deepseek/000531.json
+++ b/manifests/batches/deepseek/000531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000531",
   "batch_fingerprint": "7283c08e51f510f8cb50c520cfb781ccf094dace55c3e11bd19cdb36f5de8965",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000531-0000-9ef01e208c4d9969.parquet",
-      "sha256": "9ef01e208c4d9969f6257c8adaea19bf457d73868d7cc9884af79f6df95255f1",
-      "bytes": 340991,
-      "rows": 107,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000531-0000-bfe98b19bcf045db.parquet",
-      "sha256": "bfe98b19bcf045db784230005d512c92c65a6865af9455ad67f933d0fa703c48",
-      "bytes": 54240,
-      "rows": 17,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26598",
     "deepseek:thm_26599",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026597.lean\",\"6038d8b9a4d90a9732806d10a49d387b8fec5acbd8af851e0f4269f9c2e982a2\",0,\"thm_26645\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026598.lean\",\"e00af5e41abf5074bc5b21dfb1363ff6a9eed51d074a913205e3340ca8dbdc9a\",0,\"thm_26646\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026599.lean\",\"bad1503d7c32e5815db70566f2a4ff828df42b21e74310a9695f40afecde3555\",0,\"thm_26647\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340991,
+      "path": "data/train/p89/deepseek-000531-0000-9ef01e208c4d9969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "9ef01e208c4d9969f6257c8adaea19bf457d73868d7cc9884af79f6df95255f1"
+    },
+    {
+      "bytes": 54240,
+      "path": "data/internal_test/p89/deepseek-000531-0000-bfe98b19bcf045db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "bfe98b19bcf045db784230005d512c92c65a6865af9455ad67f933d0fa703c48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000532.json b/manifests/batches/deepseek/000532.json
index 4d16701ebe35ea14ee017d06392a05fb8a65a260..9f743a162679121fda301cd8ae497d41f0a85089 100644
--- a/manifests/batches/deepseek/000532.json
+++ b/manifests/batches/deepseek/000532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000532",
   "batch_fingerprint": "82d931d7ba4e47672c73cc2283145db53a1d83f9e28a70e1db2a0e72faed5d97",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000532-0000-24f023dce233beea.parquet",
-      "sha256": "24f023dce233beea4ff880554905d1f027f0f3cdac10d79cb46ff957424f3331",
-      "bytes": 330466,
-      "rows": 109,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/deepseek-000532-0000-ed0e690b39b0122e.parquet",
-      "sha256": "ed0e690b39b0122eb9fcb3ac70ec63fab776ae10118de1e97901b643ed81b232",
-      "bytes": 52083,
-      "rows": 11,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000532-0000-cf72f2cf30455577.parquet",
-      "sha256": "cf72f2cf30455577ad34443b4f220514c8fb7fe1903ca152f43ff8d2562b7d19",
-      "bytes": 53289,
-      "rows": 11,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26648",
     "deepseek:thm_26649",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026647.lean\",\"ed0bd6f65282c1f2f19edf22cd2eadacb0bed125523f5b226ef6f9f6f808bcb5\",0,\"thm_26695\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026648.lean\",\"b7a8b7cfddfa89ed12f8d7a36fdf284074052fc6c017907d694f23cc849c04fb\",0,\"thm_26696\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026649.lean\",\"0b90de1631c08418ef3fef5b08a96abf759aabc53000d32d69e5fef24feaf8bf\",0,\"thm_26697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330466,
+      "path": "data/train/pba/deepseek-000532-0000-24f023dce233beea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "24f023dce233beea4ff880554905d1f027f0f3cdac10d79cb46ff957424f3331"
+    },
+    {
+      "bytes": 52083,
+      "path": "data/dev/pba/deepseek-000532-0000-ed0e690b39b0122e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ed0e690b39b0122eb9fcb3ac70ec63fab776ae10118de1e97901b643ed81b232"
+    },
+    {
+      "bytes": 53289,
+      "path": "data/internal_test/pba/deepseek-000532-0000-cf72f2cf30455577.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cf72f2cf30455577ad34443b4f220514c8fb7fe1903ca152f43ff8d2562b7d19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000533.json b/manifests/batches/deepseek/000533.json
index a1af99f1676258d1a6c83755c5d48dd14be0d998..663b5d6a8f3c15734cdb7d6439592467c0609be7 100644
--- a/manifests/batches/deepseek/000533.json
+++ b/manifests/batches/deepseek/000533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000533",
   "batch_fingerprint": "f6abe8b010244e038550359249ab25fdf5490fd02217d26fe153acae12adbf7c",
   "evidence": {
@@ -56,29 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000533-0000-a682d91d204f7fac.parquet",
-      "sha256": "a682d91d204f7fac2a2073977b1bcb813121cf829513fb0f9a69b2481bc04b41",
-      "bytes": 334455,
-      "rows": 89,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/dev/deepseek-000533-0000-73cf836c3c2c1184.parquet",
-      "sha256": "73cf836c3c2c1184128bea66f4fc87293b42db10d655cff981226fde71bf3ca1",
-      "bytes": 32115,
-      "rows": 3,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/internal_test/deepseek-000533-0000-3dd1fdcdf2cb82e3.parquet",
-      "sha256": "3dd1fdcdf2cb82e3f28564f9c058147e1619ec3b8d20cd9bb392747a42191144",
-      "bytes": 72968,
-      "rows": 17,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26698",
     "deepseek:thm_26699",
@@ -178,5 +155,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026697.lean\",\"001b66043649a5a256d5b3667aab502777973c8e989e7b8bbf122e2f6c9ccc89\",0,\"thm_26745\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026698.lean\",\"74b9581cbf2394cb7b3b2ebc7a9d398c0ee0945b54bc2963caa7c24e5e854f44\",0,\"thm_26746\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026699.lean\",\"ce82ea8abe93371bd03a7c4ff461dcae60ac1be6fa9fe38f1c10728d14031835\",0,\"thm_26747\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334455,
+      "path": "data/train/p5c/deepseek-000533-0000-a682d91d204f7fac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "a682d91d204f7fac2a2073977b1bcb813121cf829513fb0f9a69b2481bc04b41"
+    },
+    {
+      "bytes": 32115,
+      "path": "data/dev/p5c/deepseek-000533-0000-73cf836c3c2c1184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "73cf836c3c2c1184128bea66f4fc87293b42db10d655cff981226fde71bf3ca1"
+    },
+    {
+      "bytes": 72968,
+      "path": "data/internal_test/p5c/deepseek-000533-0000-3dd1fdcdf2cb82e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3dd1fdcdf2cb82e3f28564f9c058147e1619ec3b8d20cd9bb392747a42191144"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000534.json b/manifests/batches/deepseek/000534.json
index b373ce38522abf320398c39929cc09baf5698967..7b4188403997c9a20eea328b0363249cfad0652a 100644
--- a/manifests/batches/deepseek/000534.json
+++ b/manifests/batches/deepseek/000534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000534",
   "batch_fingerprint": "03ac3bebe8ea54161fb109ef93feb9265a8928ac8240ac80c1927c0d0d0e552a",
   "evidence": {
@@ -63,29 +62,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000534-0000-dec9f3d33e141381.parquet",
-      "sha256": "dec9f3d33e1413810335af1aada7b540dace1ac3401e04e1a4289f033a8043a8",
-      "bytes": 271094,
-      "rows": 81,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/dev/deepseek-000534-0000-eca38a0f755d8d84.parquet",
-      "sha256": "eca38a0f755d8d84026c9827793727036664bb08248afd03fc746d5c416ff41a",
-      "bytes": 32426,
-      "rows": 3,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/internal_test/deepseek-000534-0000-ca199a24edd16825.parquet",
-      "sha256": "ca199a24edd16825c719da50e240f96b1f5a52c7e743f673e676b210e8f09ab1",
-      "bytes": 63292,
-      "rows": 18,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26748",
     "deepseek:thm_26749",
@@ -185,5 +162,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026747.lean\",\"e4addb5e2b811cdfcf1bf30056706a54e8e5cc346c1c3ff5027c23be684a862d\",0,\"thm_26795\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026748.lean\",\"3467f5a4e493706df286b324291b2082e2ac724fce115735008a211f241f4965\",0,\"thm_26796\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026749.lean\",\"06e72844c384ef1b78cf96a0130962921addc12f825f839118b0c7bd7d95efc7\",0,\"thm_26797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271094,
+      "path": "data/train/p73/deepseek-000534-0000-dec9f3d33e141381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "dec9f3d33e1413810335af1aada7b540dace1ac3401e04e1a4289f033a8043a8"
+    },
+    {
+      "bytes": 32426,
+      "path": "data/dev/p73/deepseek-000534-0000-eca38a0f755d8d84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eca38a0f755d8d84026c9827793727036664bb08248afd03fc746d5c416ff41a"
+    },
+    {
+      "bytes": 63292,
+      "path": "data/internal_test/p73/deepseek-000534-0000-ca199a24edd16825.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ca199a24edd16825c719da50e240f96b1f5a52c7e743f673e676b210e8f09ab1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000535.json b/manifests/batches/deepseek/000535.json
index 48e826a95007bdb6d98252295a54ed158a4a98b0..8e917e1a37733d384f2ced8e20a987a61792ac19 100644
--- a/manifests/batches/deepseek/000535.json
+++ b/manifests/batches/deepseek/000535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000535",
   "batch_fingerprint": "3e355aa875333ca650537c0757c00ea9026681686da1fbbf7f932eafd5a87467",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000535-0000-fa57b1b4ebdcd0b3.parquet",
-      "sha256": "fa57b1b4ebdcd0b367db8fec81f58b602c6e5d3b4ae47ccf2015dab69d51180a",
-      "bytes": 295232,
-      "rows": 89,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/deepseek-000535-0000-1f8bfdafe71221f0.parquet",
-      "sha256": "1f8bfdafe71221f08ec3aff59889e0194ba9389e932fd149923443d8259d367e",
-      "bytes": 40306,
-      "rows": 7,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000535-0000-d8f26b2fc3dff147.parquet",
-      "sha256": "d8f26b2fc3dff14741493f282c919829c37498a38542b482261ed8715e93fd1d",
-      "bytes": 58850,
-      "rows": 12,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26798",
     "deepseek:thm_26799",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026797.lean\",\"97d486ca569c2a7be11b00076bd7e7ddbdf46d20cd394cb0c112a32d1a7d97c1\",0,\"thm_26845\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026798.lean\",\"b2c266174cc852d3a184fa132429e77eab75befd047d650a8a5f82439ee0a597\",0,\"thm_26846\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026799.lean\",\"9f4cbeffaac47f7e1fe7bef9d19408fe3f1f19769330689b42a0f479845f386c\",0,\"thm_26847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295232,
+      "path": "data/train/p98/deepseek-000535-0000-fa57b1b4ebdcd0b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "fa57b1b4ebdcd0b367db8fec81f58b602c6e5d3b4ae47ccf2015dab69d51180a"
+    },
+    {
+      "bytes": 40306,
+      "path": "data/dev/p98/deepseek-000535-0000-1f8bfdafe71221f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1f8bfdafe71221f08ec3aff59889e0194ba9389e932fd149923443d8259d367e"
+    },
+    {
+      "bytes": 58850,
+      "path": "data/internal_test/p98/deepseek-000535-0000-d8f26b2fc3dff147.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d8f26b2fc3dff14741493f282c919829c37498a38542b482261ed8715e93fd1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000536.json b/manifests/batches/deepseek/000536.json
index acad46e8a98dbade87a6e658c7767685787fcfc7..ddfbeca99fb7ff4cd103fcf40c0e928b8ce44439 100644
--- a/manifests/batches/deepseek/000536.json
+++ b/manifests/batches/deepseek/000536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000536",
   "batch_fingerprint": "a94482e907932efc9d377d0f632e350813c29e0cae5c1098a46038a756ff9f92",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000536-0000-bd934d294c2e96cc.parquet",
-      "sha256": "bd934d294c2e96cc5faf661b397a93ff58cb60d8794fd80b3222921b49995893",
-      "bytes": 299819,
-      "rows": 96,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/dev/deepseek-000536-0000-1617b7518a59ddc2.parquet",
-      "sha256": "1617b7518a59ddc26c495fc5f1b4bf7152c47e7e693e792fa8b1c2a4af8dc7d8",
-      "bytes": 49235,
-      "rows": 9,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    },
-    {
-      "path": "data/internal_test/deepseek-000536-0000-f02537d5c491873a.parquet",
-      "sha256": "f02537d5c491873aa2252d66bf308f58cf015fb23e254b27ddbf274fbcf278d0",
-      "bytes": 64955,
-      "rows": 12,
-      "revision": "b29973c5dd3cdb4c76845a533a1d301c8ef67e45"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26848",
     "deepseek:thm_26849",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026847.lean\",\"2c187a040a59a268e97c17580082222c594cff9666b7351522f6769008240c3d\",0,\"thm_26895\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026848.lean\",\"988d57c3b07b77e3df6d646856bd13c35d5907b9a5f765fc4b2cedf78f340694\",0,\"thm_26896\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026849.lean\",\"795bf5c6ad07892c2fbd181c77a57658af5a663066769f0933d0e5fd2ab95cb9\",0,\"thm_26897\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299819,
+      "path": "data/train/pb3/deepseek-000536-0000-bd934d294c2e96cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "bd934d294c2e96cc5faf661b397a93ff58cb60d8794fd80b3222921b49995893"
+    },
+    {
+      "bytes": 49235,
+      "path": "data/dev/pb3/deepseek-000536-0000-1617b7518a59ddc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1617b7518a59ddc26c495fc5f1b4bf7152c47e7e693e792fa8b1c2a4af8dc7d8"
+    },
+    {
+      "bytes": 64955,
+      "path": "data/internal_test/pb3/deepseek-000536-0000-f02537d5c491873a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f02537d5c491873aa2252d66bf308f58cf015fb23e254b27ddbf274fbcf278d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000537.json b/manifests/batches/deepseek/000537.json
index fb59e35ee22cb8b7608c1b4eee4ac2c893ed1ad8..593025f9728ddd0c4d1c6059442677fe3a687d44 100644
--- a/manifests/batches/deepseek/000537.json
+++ b/manifests/batches/deepseek/000537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000537",
   "batch_fingerprint": "bcf49c98ce5804239e298bfd681f75f42609bd14eccef82a2c3e6c2ea5cbfc96",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000537-0000-7fcf492e619ac247.parquet",
-      "sha256": "7fcf492e619ac2477f868955515d308221a8246c360af228ea40436f6b6c2350",
-      "bytes": 330551,
-      "rows": 102,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/dev/deepseek-000537-0000-a387286aa8e7b330.parquet",
-      "sha256": "a387286aa8e7b3305edab89af6488eca73a1c395f0dd37f28a9eefe10063db2d",
-      "bytes": 62849,
-      "rows": 8,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/internal_test/deepseek-000537-0000-cf6999e53af19c23.parquet",
-      "sha256": "cf6999e53af19c23442c187c6b575f41287fbe1ac7e58f7fad296e036c358f67",
-      "bytes": 52301,
-      "rows": 10,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26898",
     "deepseek:thm_26899",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026897.lean\",\"840b5810e0ce7b57cc83de9708a9c6f05f27e1f5531d44e60bd8cf37424b9d77\",0,\"thm_26945\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026898.lean\",\"cda63e72ce5b59dd64b228d706e6030b7b311b8eac619095146f3da5d13f859e\",0,\"thm_26946\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026899.lean\",\"965d5dad25738310ba3e0c0f7921e43aade61d8f506c54aea34e33553a153e66\",0,\"thm_26947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330551,
+      "path": "data/train/p8d/deepseek-000537-0000-7fcf492e619ac247.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "7fcf492e619ac2477f868955515d308221a8246c360af228ea40436f6b6c2350"
+    },
+    {
+      "bytes": 62849,
+      "path": "data/dev/p8d/deepseek-000537-0000-a387286aa8e7b330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a387286aa8e7b3305edab89af6488eca73a1c395f0dd37f28a9eefe10063db2d"
+    },
+    {
+      "bytes": 52301,
+      "path": "data/internal_test/p8d/deepseek-000537-0000-cf6999e53af19c23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cf6999e53af19c23442c187c6b575f41287fbe1ac7e58f7fad296e036c358f67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000538.json b/manifests/batches/deepseek/000538.json
index aa5b5a77df314cbdb069b0ca5ce3c9ee8f5b9a27..275d5a3f5c91e231769cf0e936ea75c62670475c 100644
--- a/manifests/batches/deepseek/000538.json
+++ b/manifests/batches/deepseek/000538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000538",
   "batch_fingerprint": "88cdbd3f5dd2aa3f4b1238a2f795cc76971a4bccc084f15372445fbd76e4a0e1",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000538-0000-a75e403fc7443c62.parquet",
-      "sha256": "a75e403fc7443c62003d953b6837f8dcbd6098693a552c1cb84267d9a4d315a3",
-      "bytes": 274566,
-      "rows": 93,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/deepseek-000538-0000-5ad6de86b086e512.parquet",
-      "sha256": "5ad6de86b086e51204b8c6403aeb2141f3862fdeed73b56340212cc8b268a5f2",
-      "bytes": 37654,
-      "rows": 6,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/deepseek-000538-0000-40a7f336e89b3232.parquet",
-      "sha256": "40a7f336e89b32322053d0bf9a9725d6a9f17f718384762ccbc8c06528d3ba6b",
-      "bytes": 60905,
-      "rows": 11,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26948",
     "deepseek:thm_26949",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026946.lean\",\"cf46549892562dd384db7880a623848cfcb999234cbcafb3b46b2e881d596d5a\",0,\"thm_26994\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026947.lean\",\"7a747c0d62a5266002720e9c406e8756fda3b4c8386c8fb49078f653925d0086\",0,\"thm_26995\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026948.lean\",\"3be837d3f4ec7fc0afe82628a5d69afaff2d88a5da43f0465d2c1f421a9af991\",0,\"thm_26996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274566,
+      "path": "data/train/p6e/deepseek-000538-0000-a75e403fc7443c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "a75e403fc7443c62003d953b6837f8dcbd6098693a552c1cb84267d9a4d315a3"
+    },
+    {
+      "bytes": 37654,
+      "path": "data/dev/p6e/deepseek-000538-0000-5ad6de86b086e512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5ad6de86b086e51204b8c6403aeb2141f3862fdeed73b56340212cc8b268a5f2"
+    },
+    {
+      "bytes": 60905,
+      "path": "data/internal_test/p6e/deepseek-000538-0000-40a7f336e89b3232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "40a7f336e89b32322053d0bf9a9725d6a9f17f718384762ccbc8c06528d3ba6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000539.json b/manifests/batches/deepseek/000539.json
index 87fe11ac5ea72fbea66dc0cd7103c434ffd28aa1..812aa8c5087624270dd49382d0eee74b5eb8a72a 100644
--- a/manifests/batches/deepseek/000539.json
+++ b/manifests/batches/deepseek/000539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000539",
   "batch_fingerprint": "aa26b88dc6519c06e4e7bd072ca3202cc01d7a638ad3696748f95a8894ad2b5e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000539-0000-ae7eb8cc8426cb6e.parquet",
-      "sha256": "ae7eb8cc8426cb6effd9937e1b9fe250bab3e343c0960309b5d1a07bbc2854ed",
-      "bytes": 342908,
-      "rows": 103,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/deepseek-000539-0000-019d1931e60de7a5.parquet",
-      "sha256": "019d1931e60de7a5357b7830b24c8480f4e6251664d3b7c5c9141ff338f45898",
-      "bytes": 46478,
-      "rows": 7,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000539-0000-c3692c9da8b6ab17.parquet",
-      "sha256": "c3692c9da8b6ab1700257dcfe69adce62bbb66be2feb1660d052f829a001a30b",
-      "bytes": 43295,
-      "rows": 6,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_26998",
     "deepseek:thm_26999",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026997.lean\",\"34cc95528cf4eef0960620b83e1d433184bbc397b9c19f13ab24d5c314b45acc\",0,\"thm_27045\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026998.lean\",\"041b6fcdfb14b13ce881bd23f73cb612393e579c53c205837f8136f17ea7f165\",0,\"thm_27046\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_026999.lean\",\"c2f3da959094fabc3b1b99826f6f561a9a62f20a4368c1bfce43dd27bf5411ae\",0,\"thm_27047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342908,
+      "path": "data/train/pb6/deepseek-000539-0000-ae7eb8cc8426cb6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "ae7eb8cc8426cb6effd9937e1b9fe250bab3e343c0960309b5d1a07bbc2854ed"
+    },
+    {
+      "bytes": 46478,
+      "path": "data/dev/pb6/deepseek-000539-0000-019d1931e60de7a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "019d1931e60de7a5357b7830b24c8480f4e6251664d3b7c5c9141ff338f45898"
+    },
+    {
+      "bytes": 43295,
+      "path": "data/internal_test/pb6/deepseek-000539-0000-c3692c9da8b6ab17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c3692c9da8b6ab1700257dcfe69adce62bbb66be2feb1660d052f829a001a30b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000540.json b/manifests/batches/deepseek/000540.json
index a6c2a29df60df72872f3d503c3bb19d2a3d64e17..42d1827bcfad10ec92e43c8f4c848f4b2fead591 100644
--- a/manifests/batches/deepseek/000540.json
+++ b/manifests/batches/deepseek/000540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000540",
   "batch_fingerprint": "31b17c43f57edeb129edac3fdbf9d7b95164677971e9e3251e9f2141d22512f6",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000540-0000-712a48fa43a06790.parquet",
-      "sha256": "712a48fa43a06790ab49ad531fe73407403cdae3467c3ce1aa41ed430e86e51f",
-      "bytes": 325638,
-      "rows": 99,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/deepseek-000540-0000-fe55306bf4ad352f.parquet",
-      "sha256": "fe55306bf4ad352f7c9899649ba2967b76f223daa7d50c71b4d291e5bc0c5f1d",
-      "bytes": 39355,
-      "rows": 3,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000540-0000-3a0343bbcef821aa.parquet",
-      "sha256": "3a0343bbcef821aa0d077e51370ddb38eb2ff78d2a5772cd34dc7126bd9cb485",
-      "bytes": 69544,
-      "rows": 12,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27048",
     "deepseek:thm_27049",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027047.lean\",\"f891e15edce738892edf5b6c682bab07b563ba8029b83a005f1df987561f6262\",0,\"thm_27095\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027048.lean\",\"4148b97ade2cf73d49bf66bdc827f71ac1d9f3906660b3196cb92f1121e1689a\",0,\"thm_27096\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027049.lean\",\"561937b7eaeb18cd5a4a5a175730c63ea6e0315bab3d926c15c5fb765406a58a\",0,\"thm_27097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325638,
+      "path": "data/train/p25/deepseek-000540-0000-712a48fa43a06790.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "712a48fa43a06790ab49ad531fe73407403cdae3467c3ce1aa41ed430e86e51f"
+    },
+    {
+      "bytes": 39355,
+      "path": "data/dev/p25/deepseek-000540-0000-fe55306bf4ad352f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fe55306bf4ad352f7c9899649ba2967b76f223daa7d50c71b4d291e5bc0c5f1d"
+    },
+    {
+      "bytes": 69544,
+      "path": "data/internal_test/p25/deepseek-000540-0000-3a0343bbcef821aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3a0343bbcef821aa0d077e51370ddb38eb2ff78d2a5772cd34dc7126bd9cb485"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000541.json b/manifests/batches/deepseek/000541.json
index 37fb9af9f8e64ebc83321462a5947e3a8829fc8f..51c39c2fe64730f19009c8f9819f8ff6a4fc9803 100644
--- a/manifests/batches/deepseek/000541.json
+++ b/manifests/batches/deepseek/000541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000541",
   "batch_fingerprint": "a94d89dc27dbefb861619913426ee92f360b9e4f0ed23e76ec48ade9d436e3bd",
   "evidence": {
@@ -57,29 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000541-0000-eec4b402dd11d08c.parquet",
-      "sha256": "eec4b402dd11d08c845c8a9f75a44a877bc7e019d9962215770136d5853a7a09",
-      "bytes": 272820,
-      "rows": 96,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/deepseek-000541-0000-f69bd01e2592630b.parquet",
-      "sha256": "f69bd01e2592630b06caec63f5f96012c57d2187864921dd0edb408a88522871",
-      "bytes": 50612,
-      "rows": 8,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000541-0000-b488fe7504de280b.parquet",
-      "sha256": "b488fe7504de280ba6fe6500b5eba8dff1232e5d8928ecdbb855cebd4bd8d4de",
-      "bytes": 60946,
-      "rows": 13,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27098",
     "deepseek:thm_27099",
@@ -179,5 +156,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027097.lean\",\"aebd3e65e08c3a9b43e40854d562742220ffac60d1b49b9f7f17233d4e63e9f7\",0,\"thm_27145\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027098.lean\",\"db276fca3e8bf0979111fbf5e9b201b38095af13ec7320799846973b7d492cd5\",0,\"thm_27146\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027099.lean\",\"cc81f857df97b581b9f11c34b9a96b0003cb71a6f4099eab83f2eab1feb0fb83\",0,\"thm_27147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272820,
+      "path": "data/train/p14/deepseek-000541-0000-eec4b402dd11d08c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "eec4b402dd11d08c845c8a9f75a44a877bc7e019d9962215770136d5853a7a09"
+    },
+    {
+      "bytes": 50612,
+      "path": "data/dev/p14/deepseek-000541-0000-f69bd01e2592630b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f69bd01e2592630b06caec63f5f96012c57d2187864921dd0edb408a88522871"
+    },
+    {
+      "bytes": 60946,
+      "path": "data/internal_test/p14/deepseek-000541-0000-b488fe7504de280b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b488fe7504de280ba6fe6500b5eba8dff1232e5d8928ecdbb855cebd4bd8d4de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000542.json b/manifests/batches/deepseek/000542.json
index cf07363ab8cd5cc583e7dc0c397808985890f09e..fdb1cbd57c9c2417c84f17ef385768e6f92d56ac 100644
--- a/manifests/batches/deepseek/000542.json
+++ b/manifests/batches/deepseek/000542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000542",
   "batch_fingerprint": "217c72b53a39721989eb658490b3e84995a5854fb8285f91f0047b738e8ef1b1",
   "evidence": {
@@ -37,29 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000542-0000-81927466e15a7001.parquet",
-      "sha256": "81927466e15a70016d38c7b164febb03abec11ba5990cf5f94bf74509703d4df",
-      "bytes": 300452,
-      "rows": 88,
-      "revision": "489abb6140ea46d75908cadd6d96321b9739659e"
-    },
-    {
-      "path": "data/dev/deepseek-000542-0000-906be4c6b6f40585.parquet",
-      "sha256": "906be4c6b6f4058588795cfdcd7aef5fb0f164eee35abf6f7a47d49f1bbbd4cf",
-      "bytes": 55361,
-      "rows": 11,
-      "revision": "489abb6140ea46d75908cadd6d96321b9739659e"
-    },
-    {
-      "path": "data/internal_test/deepseek-000542-0000-00d9ab178c474362.parquet",
-      "sha256": "00d9ab178c474362bd9db784d071a9cb79bf229b5cb4b20da91da51534739c63",
-      "bytes": 49512,
-      "rows": 13,
-      "revision": "489abb6140ea46d75908cadd6d96321b9739659e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27148",
     "deepseek:thm_27149",
@@ -161,5 +138,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027147.lean\",\"045d76a382d44add1d6fc22b41adf20a29e4164b9d121d3cbea4bdc907e58f68\",0,\"thm_27195\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027148.lean\",\"87699af373dd2c3198ca21e98e9316e9d3574d75d56195436bfb52d9d398f359\",0,\"thm_27196\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027149.lean\",\"c1d3156aa090f5de87ff6394dafcd8f062757dd3bc20a22770a65c3a9ffee4e6\",0,\"thm_27197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300452,
+      "path": "data/train/p6a/deepseek-000542-0000-81927466e15a7001.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "81927466e15a70016d38c7b164febb03abec11ba5990cf5f94bf74509703d4df"
+    },
+    {
+      "bytes": 55361,
+      "path": "data/dev/p6a/deepseek-000542-0000-906be4c6b6f40585.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "906be4c6b6f4058588795cfdcd7aef5fb0f164eee35abf6f7a47d49f1bbbd4cf"
+    },
+    {
+      "bytes": 49512,
+      "path": "data/internal_test/p6a/deepseek-000542-0000-00d9ab178c474362.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "00d9ab178c474362bd9db784d071a9cb79bf229b5cb4b20da91da51534739c63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000543.json b/manifests/batches/deepseek/000543.json
index 12c8052b62c83ba5b08e38bb41483194b729e7d3..584172b9fd0821b1b6fc6ffaa76b286bc84c98ed 100644
--- a/manifests/batches/deepseek/000543.json
+++ b/manifests/batches/deepseek/000543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000543",
   "batch_fingerprint": "12e55452217d054b37bcedab09d1e8c44e975a4a939dc1c90c28e2d43fbfd3ec",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000543-0000-e05d2ef50f18e645.parquet",
-      "sha256": "e05d2ef50f18e6459c44f5d964a69f89fa551a8f72207b0eff0137485ff5672c",
-      "bytes": 380908,
-      "rows": 115,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000543-0000-03134c8b7aa0a896.parquet",
-      "sha256": "03134c8b7aa0a896314bc6d90e6375d7b8d37ed433ce5b4a3d5a20401bf76618",
-      "bytes": 46058,
-      "rows": 4,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27198",
     "deepseek:thm_27199",
@@ -137,5 +121,21 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027197.lean\",\"d7a95bd97006a3132d4e3b27329d9f2905b26fa97c36900840972adeb5857fce\",0,\"thm_27245\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027198.lean\",\"fbc95982c6c80ae102009e4bfee37f8aa977972541879d1e29dc068b90b056ce\",0,\"thm_27246\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027199.lean\",\"8d27490afdb867a491296cbe559336a9e06756562993b5f948bc151906869faa\",0,\"thm_27247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380908,
+      "path": "data/train/p17/deepseek-000543-0000-e05d2ef50f18e645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "e05d2ef50f18e6459c44f5d964a69f89fa551a8f72207b0eff0137485ff5672c"
+    },
+    {
+      "bytes": 46058,
+      "path": "data/internal_test/p17/deepseek-000543-0000-03134c8b7aa0a896.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "03134c8b7aa0a896314bc6d90e6375d7b8d37ed433ce5b4a3d5a20401bf76618"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000544.json b/manifests/batches/deepseek/000544.json
index f14aab5fff7ffcd74f9b931368c7cfd6850fc9e0..d370454ebd66962f41dbadaa8fbf43953aefc13d 100644
--- a/manifests/batches/deepseek/000544.json
+++ b/manifests/batches/deepseek/000544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000544",
   "batch_fingerprint": "db746901f0d3bfc6db769feb9ef2df6c5a52433037ff5cba8bcce010a20c9911",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000544-0000-bc6ad4abac6c7a32.parquet",
-      "sha256": "bc6ad4abac6c7a32f2c404da6a8c94ddab4313fd931b03d82a316c57ba7146fe",
-      "bytes": 346766,
-      "rows": 114,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/deepseek-000544-0000-0a131974b93e8a2e.parquet",
-      "sha256": "0a131974b93e8a2eea2c29d861ac8716ef7c1b7300e32b6541e2bfe61c52d1db",
-      "bytes": 34316,
-      "rows": 4,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/deepseek-000544-0000-1f1bea423bc41afb.parquet",
-      "sha256": "1f1bea423bc41afb6986b76f37c5f4d0fd5c2bebf798b614445ed30c5f8ef25b",
-      "bytes": 41440,
-      "rows": 11,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27248",
     "deepseek:thm_27249",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027247.lean\",\"eb2ff15a7c50ec4958eb5bb7365f929813c7352f4792d93f534bf92830b78d39\",0,\"thm_27295\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027248.lean\",\"48d6635371c5094f5eb07b8209b943a99155f4f4d8ed4a55189e0f29e422f1c9\",0,\"thm_27296\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027249.lean\",\"6e925360b3d764c0299402a7e360a28bc4e5a7f019b1b822d3927d68ed28bb33\",0,\"thm_27297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346766,
+      "path": "data/train/pa2/deepseek-000544-0000-bc6ad4abac6c7a32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "bc6ad4abac6c7a32f2c404da6a8c94ddab4313fd931b03d82a316c57ba7146fe"
+    },
+    {
+      "bytes": 34316,
+      "path": "data/dev/pa2/deepseek-000544-0000-0a131974b93e8a2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0a131974b93e8a2eea2c29d861ac8716ef7c1b7300e32b6541e2bfe61c52d1db"
+    },
+    {
+      "bytes": 41440,
+      "path": "data/internal_test/pa2/deepseek-000544-0000-1f1bea423bc41afb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1f1bea423bc41afb6986b76f37c5f4d0fd5c2bebf798b614445ed30c5f8ef25b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000545.json b/manifests/batches/deepseek/000545.json
index 660b7245dc572bceae19f66f00824a89fb8e982f..67a2a36ece547a2c9aa02267bae11c4ea6793bef 100644
--- a/manifests/batches/deepseek/000545.json
+++ b/manifests/batches/deepseek/000545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000545",
   "batch_fingerprint": "74442a4e1f2d0fe126e6dcd969bcff5a70abc55d620acab12638ff868bf51783",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000545-0000-efd60ee14686dd22.parquet",
-      "sha256": "efd60ee14686dd221f6a708b69f1bf05d83c500869bf692b11b5dab443363d85",
-      "bytes": 307644,
-      "rows": 98,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/deepseek-000545-0000-626fc7651003dbad.parquet",
-      "sha256": "626fc7651003dbad07e9e7860c3c1f674d821b3068081477ca5379e23ce69f0c",
-      "bytes": 41822,
-      "rows": 7,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000545-0000-fd3c85abce0cd973.parquet",
-      "sha256": "fd3c85abce0cd9730ed685066a34861785142ceda1c4f6f43f7e0ac779ac4205",
-      "bytes": 69420,
-      "rows": 14,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27298",
     "deepseek:thm_27299",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027297.lean\",\"cab67290dd56fd0bed0dc7700629773d74d20f560212979eb4380aa5ec6007a9\",0,\"thm_27345\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027298.lean\",\"235eaa2eac920a93b625806ae4329eebdee3bd2b5e2f735c4b174d2169e2fd29\",0,\"thm_27346\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027299.lean\",\"da3a9b1ba071ea4d35c3795569a55fd7463177ae010fce73505d1abcf70d6985\",0,\"thm_27347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307644,
+      "path": "data/train/p6c/deepseek-000545-0000-efd60ee14686dd22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "efd60ee14686dd221f6a708b69f1bf05d83c500869bf692b11b5dab443363d85"
+    },
+    {
+      "bytes": 41822,
+      "path": "data/dev/p6c/deepseek-000545-0000-626fc7651003dbad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "626fc7651003dbad07e9e7860c3c1f674d821b3068081477ca5379e23ce69f0c"
+    },
+    {
+      "bytes": 69420,
+      "path": "data/internal_test/p6c/deepseek-000545-0000-fd3c85abce0cd973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fd3c85abce0cd9730ed685066a34861785142ceda1c4f6f43f7e0ac779ac4205"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000546.json b/manifests/batches/deepseek/000546.json
index ae9ea8805f09b0d9073e4fab8a2f868eca2fc421..2e28b74c400be22ba36547131a845f6921685221 100644
--- a/manifests/batches/deepseek/000546.json
+++ b/manifests/batches/deepseek/000546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000546",
   "batch_fingerprint": "0dbf242104944a8d507ea73fba0093e199c58b7c3c0994a1c26cb7cc7727ea8e",
   "evidence": {
@@ -38,29 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000546-0000-cb2b67652ded6fc4.parquet",
-      "sha256": "cb2b67652ded6fc45b789888b770e2796be627775adda9a21caa99ee83559806",
-      "bytes": 360953,
-      "rows": 107,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/deepseek-000546-0000-e8996cb15f8a37c4.parquet",
-      "sha256": "e8996cb15f8a37c4baac2aacb671e38c49f56daebf2c9a869b0552e0fb7fdc12",
-      "bytes": 26130,
-      "rows": 2,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/deepseek-000546-0000-7c7247fecfe33d9e.parquet",
-      "sha256": "7c7247fecfe33d9ee665367c0cf1b0cf69f624fd57f9f29d2d9cf849128549e3",
-      "bytes": 35551,
-      "rows": 4,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27348",
     "deepseek:thm_27349",
@@ -162,5 +139,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027347.lean\",\"98d6a5a788254890277cfff2757ef64e6dd64a951696c432cb240d1de8017764\",0,\"thm_27395\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027348.lean\",\"4e0fc043ce27994c6a46f093a9e1b8228be287d73deb7fecdd0e930f0d4c8001\",0,\"thm_27396\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027349.lean\",\"c9b0910c8ddce4f7554b537027d26bd04602e61a6c68ab5da93a231de810db23\",0,\"thm_27397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360953,
+      "path": "data/train/pe2/deepseek-000546-0000-cb2b67652ded6fc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "cb2b67652ded6fc45b789888b770e2796be627775adda9a21caa99ee83559806"
+    },
+    {
+      "bytes": 26130,
+      "path": "data/dev/pe2/deepseek-000546-0000-e8996cb15f8a37c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e8996cb15f8a37c4baac2aacb671e38c49f56daebf2c9a869b0552e0fb7fdc12"
+    },
+    {
+      "bytes": 35551,
+      "path": "data/internal_test/pe2/deepseek-000546-0000-7c7247fecfe33d9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7c7247fecfe33d9ee665367c0cf1b0cf69f624fd57f9f29d2d9cf849128549e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000547.json b/manifests/batches/deepseek/000547.json
index 8ba21cb5d2117911efe518a94eecf8e6c86a7f87..2be9b38e442beabb5f5c3eea30bfb583ceca2e14 100644
--- a/manifests/batches/deepseek/000547.json
+++ b/manifests/batches/deepseek/000547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000547",
   "batch_fingerprint": "51a035c20e6b54a1831ccc3d9bb68a2805ff021cb0a6f66ee772ae04f7057e4f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000547-0000-0e33a8ffebe418be.parquet",
-      "sha256": "0e33a8ffebe418bef7417d563ee17db8412b079188b8591bae8c229695eb0390",
-      "bytes": 288253,
-      "rows": 87,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/dev/deepseek-000547-0000-51cddd562c94f891.parquet",
-      "sha256": "51cddd562c94f89192d624997a1d0570231b7c175c6823fb1e3e29feb113cead",
-      "bytes": 45844,
-      "rows": 9,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/deepseek-000547-0000-cd21c23a720f736e.parquet",
-      "sha256": "cd21c23a720f736e9b764b2203cb8696246f40460aad39a132ea7c61af839dfa",
-      "bytes": 61993,
-      "rows": 17,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27398",
     "deepseek:thm_27399",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027397.lean\",\"d1067a04e2cbdf7f9ed658dbf8ed0814017e73f49435a9c0bc34efb16943c008\",0,\"thm_27445\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027398.lean\",\"f34802dabef29a10e073dfcd42393668de56ae8afeacee00597cbe82cc77c42a\",0,\"thm_27446\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027399.lean\",\"86da62932537399b45230e8c84069f4ad88c397dffeefdd9f62242c1b93cf53b\",0,\"thm_27447\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288253,
+      "path": "data/train/p40/deepseek-000547-0000-0e33a8ffebe418be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "0e33a8ffebe418bef7417d563ee17db8412b079188b8591bae8c229695eb0390"
+    },
+    {
+      "bytes": 45844,
+      "path": "data/dev/p40/deepseek-000547-0000-51cddd562c94f891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "51cddd562c94f89192d624997a1d0570231b7c175c6823fb1e3e29feb113cead"
+    },
+    {
+      "bytes": 61993,
+      "path": "data/internal_test/p40/deepseek-000547-0000-cd21c23a720f736e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "cd21c23a720f736e9b764b2203cb8696246f40460aad39a132ea7c61af839dfa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000548.json b/manifests/batches/deepseek/000548.json
index 3ce516ba81cc6d16d3bafea537eff93c08407faa..9475212d07e520c96dda406645442170627cef06 100644
--- a/manifests/batches/deepseek/000548.json
+++ b/manifests/batches/deepseek/000548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000548",
   "batch_fingerprint": "7e04979c5023a522f080446a5d1e0af71a7e018003b0733993548660bba7dea0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000548-0000-7024a154f07a8e3a.parquet",
-      "sha256": "7024a154f07a8e3a0513598d85464531740524c17db6b09c5cc75abecaa07993",
-      "bytes": 311167,
-      "rows": 101,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/dev/deepseek-000548-0000-79be2c14a25a38ff.parquet",
-      "sha256": "79be2c14a25a38ff2b6cf687143422e3090eec007cdc6fefa0f599fb452ca53d",
-      "bytes": 46694,
-      "rows": 9,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000548-0000-779407c0ccd93023.parquet",
-      "sha256": "779407c0ccd93023e9ef1bf6f8a64049c1c2a1c4508c04e9d14639083fc11ff2",
-      "bytes": 52765,
-      "rows": 12,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27448",
     "deepseek:thm_27449",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027447.lean\",\"f1255b2ab5fe03dd2b1b0870e0ed5b00afc69734e5952d0abc9c0dc6f4d303f4\",0,\"thm_27495\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027448.lean\",\"68a03904a454fb5c65295614d239ffc98aa3945b5e7a855156ffc05e16ede26f\",0,\"thm_27496\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027449.lean\",\"67b93cd68fd55d116ad7fb8c85174c95603aea9ca1f8bf7d72eae93eb56ec555\",0,\"thm_27497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311167,
+      "path": "data/train/p65/deepseek-000548-0000-7024a154f07a8e3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "7024a154f07a8e3a0513598d85464531740524c17db6b09c5cc75abecaa07993"
+    },
+    {
+      "bytes": 46694,
+      "path": "data/dev/p65/deepseek-000548-0000-79be2c14a25a38ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "79be2c14a25a38ff2b6cf687143422e3090eec007cdc6fefa0f599fb452ca53d"
+    },
+    {
+      "bytes": 52765,
+      "path": "data/internal_test/p65/deepseek-000548-0000-779407c0ccd93023.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "779407c0ccd93023e9ef1bf6f8a64049c1c2a1c4508c04e9d14639083fc11ff2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000549.json b/manifests/batches/deepseek/000549.json
index cc0ba759711198ff9c3196187cbedf8b488620a0..07809f762064532110ff24ccf8b5f2bcab80e99b 100644
--- a/manifests/batches/deepseek/000549.json
+++ b/manifests/batches/deepseek/000549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000549",
   "batch_fingerprint": "af04327d9336ccd3adcbab71bc71ff624f22efc257f933e605b974e8fd32b6be",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/deepseek-000549-0000-2b499203f5574810.parquet",
-      "sha256": "2b499203f5574810354e9bcbd1aaea7a23dcf4dc0da912315dc6833a7c8e341b",
-      "bytes": 358488,
-      "rows": 107,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/dev/deepseek-000549-0000-660685847ca2cb8a.parquet",
-      "sha256": "660685847ca2cb8aeccc51be78ef122df2db901c8e3da9e0e6402679e1fdbacb",
-      "bytes": 38191,
-      "rows": 6,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/deepseek-000549-0000-cffae3d49a127d15.parquet",
-      "sha256": "cffae3d49a127d1562750d08aef651c04d464eb7dd3ae85beb1f7403e3f46c9a",
-      "bytes": 56509,
-      "rows": 13,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "deepseek:thm_27498",
     "deepseek:thm_27499",
@@ -144,5 +121,28 @@
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027497.lean\",\"0679b074ad8f6e54af2a255a884669d14125e418535e4ff3b9426961022d7fbf\",0,\"thm_27545\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027498.lean\",\"57bd195a412492e3fde6f620e4f0e09f619620139ea2c46cb8fa30b9b5ce9de1\",0,\"thm_27546\"]",
     "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027499.lean\",\"da3014e0c5e75dd08c457074dbc69dc0b83f5d37317bd2bcc0144278bbf179ee\",0,\"thm_27547\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358488,
+      "path": "data/train/p40/deepseek-000549-0000-2b499203f5574810.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "2b499203f5574810354e9bcbd1aaea7a23dcf4dc0da912315dc6833a7c8e341b"
+    },
+    {
+      "bytes": 38191,
+      "path": "data/dev/p40/deepseek-000549-0000-660685847ca2cb8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "660685847ca2cb8aeccc51be78ef122df2db901c8e3da9e0e6402679e1fdbacb"
+    },
+    {
+      "bytes": 56509,
+      "path": "data/internal_test/p40/deepseek-000549-0000-cffae3d49a127d15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cffae3d49a127d1562750d08aef651c04d464eb7dd3ae85beb1f7403e3f46c9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/deepseek/000550.json b/manifests/batches/deepseek/000550.json
index 8ab234750f3b7f4a08d14a267605e63f6e8ad87a..1875cdbc4e6f776a5cbeec6d11a62245db84b97e 100644
--- a/manifests/batches/deepseek/000550.json
+++ b/manifests/batches/deepseek/000550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "deepseek/000550",
   "batch_fingerprint": "12a15e29c05a7d5ad8b3cc13aa168e342bd358a7d8440ec620e1d5eaa3d6e0f0",
   "evidence": {
@@ -18,37 +17,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "deepseek:thm_27548",
+    "deepseek:thm_27549",
+    "deepseek:thm_27550"
+  ],
+  "proof_keys": [
+    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027500.lean\",\"f04bd6272ca363b90c43ee039f64561b10c2327f33157cf2d63657d52bbc3630\",0,\"thm_27548\"]",
+    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027501.lean\",\"5e1f716df8837490128866451f54f617e20d1f318bebd19a21e2340ca8d431bc\",0,\"thm_27549\"]",
+    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027502.lean\",\"2eb3859eac5278399e5acada39185d613f3fd2beeb04e18aef3f2f7d95d81dca\",0,\"thm_27550\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/deepseek-000550-0000-a12cf3708da19e79.parquet",
-      "sha256": "a12cf3708da19e792b281acd4710c52675999775d1ce63d3762e6719128f3cb2",
       "bytes": 24170,
+      "path": "data/train/p52/deepseek-000550-0000-a12cf3708da19e79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
+      "sha256": "a12cf3708da19e792b281acd4710c52675999775d1ce63d3762e6719128f3cb2"
     },
     {
-      "path": "data/dev/deepseek-000550-0000-121856c1dc6d40c5.parquet",
-      "sha256": "121856c1dc6d40c5ab1ebf612f9367bc85b1fd97790393a43fd7d96173adfee7",
       "bytes": 39811,
+      "path": "data/dev/p52/deepseek-000550-0000-121856c1dc6d40c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
+      "sha256": "121856c1dc6d40c5ab1ebf612f9367bc85b1fd97790393a43fd7d96173adfee7"
     },
     {
-      "path": "data/internal_test/deepseek-000550-0000-3e6b10c98cde58b9.parquet",
-      "sha256": "3e6b10c98cde58b9937768711a2cf112c16a702aba741d2542bed5abb9c3f669",
       "bytes": 38233,
+      "path": "data/internal_test/p52/deepseek-000550-0000-3e6b10c98cde58b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
+      "sha256": "3e6b10c98cde58b9937768711a2cf112c16a702aba741d2542bed5abb9c3f669"
     }
-  ],
-  "proof_ids": [
-    "deepseek:thm_27548",
-    "deepseek:thm_27549",
-    "deepseek:thm_27550"
-  ],
-  "proof_keys": [
-    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027500.lean\",\"f04bd6272ca363b90c43ee039f64561b10c2327f33157cf2d63657d52bbc3630\",0,\"thm_27548\"]",
-    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027501.lean\",\"5e1f716df8837490128866451f54f617e20d1f318bebd19a21e2340ca8d431bc\",0,\"thm_27549\"]",
-    "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_027502.lean\",\"2eb3859eac5278399e5acada39185d613f3fd2beeb04e18aef3f2f7d95d81dca\",0,\"thm_27550\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000000.json b/manifests/batches/goedel_workbook/000000.json
index 3f5dc582042ddc8b308ac38017f9703cdd417dac..e7a40ee9213982acbbce5266d2cc6759dcb98b11 100644
--- a/manifests/batches/goedel_workbook/000000.json
+++ b/manifests/batches/goedel_workbook/000000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000000",
   "batch_fingerprint": "d4ad88799b504899f747641f403f193a304c69145880022b763a21149fa4da8b",
   "evidence": {
@@ -195,29 +194,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000000-0000-e191f8b9a5b1e787.parquet",
-      "sha256": "e191f8b9a5b1e787b99d8db1c9e7b82ccc54926cb449428fab9481ca723dbf33",
-      "bytes": 130671,
-      "rows": 27,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000000-0000-bfb7f6505a87294c.parquet",
-      "sha256": "bfb7f6505a87294c5976f1e88d4e46df7925c38f2569aadccb66c061b454fe44",
-      "bytes": 29925,
-      "rows": 1,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000000-0000-8303476f2bb8f6ce.parquet",
-      "sha256": "8303476f2bb8f6ce62f42b1861ae3fc5477a6159070cf848d82f86cf3a30d41f",
-      "bytes": 31449,
-      "rows": 3,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1001",
     "goedel_workbook:lean_workbook_10012",
@@ -251,5 +228,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000022.lean\",\"530e92525182e98e27ebc737d8c978ebe8cb3a9c4282ce4e861962abf9b08d8f\",0,\"lean_workbook_10081\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000023.lean\",\"836ab99363094084f36e33ae767e64f648ca44a3b91ea3b221e6cc74cb642e4d\",0,\"lean_workbook_10082\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000024.lean\",\"9d3e95df4f9e73c6dee408eea0bfad44d81006761c0e9202495b294bbdd5cc10\",0,\"lean_workbook_10083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130671,
+      "path": "data/train/p45/goedel_workbook-000000-0000-e191f8b9a5b1e787.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e191f8b9a5b1e787b99d8db1c9e7b82ccc54926cb449428fab9481ca723dbf33"
+    },
+    {
+      "bytes": 29925,
+      "path": "data/dev/p45/goedel_workbook-000000-0000-bfb7f6505a87294c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bfb7f6505a87294c5976f1e88d4e46df7925c38f2569aadccb66c061b454fe44"
+    },
+    {
+      "bytes": 31449,
+      "path": "data/internal_test/p45/goedel_workbook-000000-0000-8303476f2bb8f6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8303476f2bb8f6ce62f42b1861ae3fc5477a6159070cf848d82f86cf3a30d41f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000001.json b/manifests/batches/goedel_workbook/000001.json
index 5fe683b9df861acbf5f88d7a7da71c91beaf481a..b705c9d182b5fb6f260e59dae327687ce289e87d 100644
--- a/manifests/batches/goedel_workbook/000001.json
+++ b/manifests/batches/goedel_workbook/000001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000001",
   "batch_fingerprint": "7d19cd3b25c184597e4238545fbd9bfe5c9a2959143ff43e30bcadab692aaba2",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000001-0000-360c62f1a5b60238.parquet",
-      "sha256": "360c62f1a5b602389e3fbb0f1141b029d02d15697da0a17911b2914452664e75",
-      "bytes": 66330,
-      "rows": 18,
-      "revision": "94ba971e125f637f369aa7a3931db74e29c1bda1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000001-0000-e85765435652277f.parquet",
-      "sha256": "e85765435652277f694644a472b09e30941e4747fb570a273efb51031421aa0a",
-      "bytes": 43840,
-      "rows": 8,
-      "revision": "94ba971e125f637f369aa7a3931db74e29c1bda1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000001-0000-979f53b1e993164f.parquet",
-      "sha256": "979f53b1e993164f08b9d6fd7b2f703a845e1f3c7fd2f562c81d0525e1558e3d",
-      "bytes": 43054,
-      "rows": 5,
-      "revision": "94ba971e125f637f369aa7a3931db74e29c1bda1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10087",
     "goedel_workbook:lean_workbook_101",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000043.lean\",\"bccf9c559e30e732ed220ce729f0f8ab4d26fab3c8ae306f6456cc51fdeadd5b\",0,\"lean_workbook_10178\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000045.lean\",\"11f2d5be55761cddd24bbc88f81bb97fcb43eedb2a88f6b6a5e4559221978d79\",0,\"lean_workbook_10185\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000048.lean\",\"f9c31eef855dc118085e3da1435e850baa15689881ec0087a8465bc893fa98c9\",0,\"lean_workbook_10197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66330,
+      "path": "data/train/p58/goedel_workbook-000001-0000-360c62f1a5b60238.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "360c62f1a5b602389e3fbb0f1141b029d02d15697da0a17911b2914452664e75"
+    },
+    {
+      "bytes": 43840,
+      "path": "data/dev/p58/goedel_workbook-000001-0000-e85765435652277f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e85765435652277f694644a472b09e30941e4747fb570a273efb51031421aa0a"
+    },
+    {
+      "bytes": 43054,
+      "path": "data/internal_test/p58/goedel_workbook-000001-0000-979f53b1e993164f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "979f53b1e993164f08b9d6fd7b2f703a845e1f3c7fd2f562c81d0525e1558e3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000002.json b/manifests/batches/goedel_workbook/000002.json
index 85271b5066faabe6789c0dd12713706b34b48a75..aecce6d77aa513649b6e202d9e4f64d65ebe9fd0 100644
--- a/manifests/batches/goedel_workbook/000002.json
+++ b/manifests/batches/goedel_workbook/000002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000002",
   "batch_fingerprint": "f2b8777bfaf8b343c7921c754cc62d83dbc4ecb538f9b96828f03dc53d52710f",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000002-0000-16ab4734b5a7714f.parquet",
-      "sha256": "16ab4734b5a7714fd249a8a484b99276b7139b3a0da54a947b6f0678799016ca",
-      "bytes": 107255,
-      "rows": 30,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000002-0000-0886e8cdbab72c02.parquet",
-      "sha256": "0886e8cdbab72c025bb6746f3a68490fac51605b9dbf7f7475cd335227ebc998",
-      "bytes": 27601,
-      "rows": 1,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_102",
     "goedel_workbook:lean_workbook_10202",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000070.lean\",\"ebb146dd1d51a70b3bd779a54a64f1a57fc2a96f4cc934889866c98cbb7f22a1\",0,\"lean_workbook_10305\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000073.lean\",\"ce3de75227e1acc839003b96b2e5d5d1569849eb0ab8861c6646e4b3f83e46af\",0,\"lean_workbook_10309\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000074.lean\",\"a3f5e7360aae52f06d3eb84d62dc682d7679e95ec526790dc973965003faa6fe\",0,\"lean_workbook_10314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107255,
+      "path": "data/train/p6b/goedel_workbook-000002-0000-16ab4734b5a7714f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "16ab4734b5a7714fd249a8a484b99276b7139b3a0da54a947b6f0678799016ca"
+    },
+    {
+      "bytes": 27601,
+      "path": "data/internal_test/p6b/goedel_workbook-000002-0000-0886e8cdbab72c02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0886e8cdbab72c025bb6746f3a68490fac51605b9dbf7f7475cd335227ebc998"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000003.json b/manifests/batches/goedel_workbook/000003.json
index d0b6da48a8c80e4bbbb787fe0c66d5c396dfbcd1..a8bc86f9910fea27accc774034b378309c7738bc 100644
--- a/manifests/batches/goedel_workbook/000003.json
+++ b/manifests/batches/goedel_workbook/000003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000003",
   "batch_fingerprint": "2a9744f6f93f14a965bc6fc541ea9966b24c21fc31ad328b5b48ac6a339a193d",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000003-0000-34dd66ec76b12fc6.parquet",
-      "sha256": "34dd66ec76b12fc6a6a5e9297f2edd7cd53e994dbe4d571f8ebd4c1c36059a31",
-      "bytes": 140503,
-      "rows": 39,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000003-0000-080fcae6abfd9b75.parquet",
-      "sha256": "080fcae6abfd9b75af290daf3d5187c906924c22dba51e9728bcf6f0cf4b8142",
-      "bytes": 51046,
-      "rows": 4,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10328",
     "goedel_workbook:lean_workbook_10329",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000093.lean\",\"98026c34e6bc40795519b2bfa61780f81ace180773b53b6d929a0986e64f9d3b\",0,\"lean_workbook_10385\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000094.lean\",\"29ce26c82365ed46f7b6e4ab542fed1626c9d232cf0c0e066718911bf7460187\",0,\"lean_workbook_1039\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000099.lean\",\"f4278bfa6c5fdddc3eb4431fbb6a0c34146830de1d02b192eef360c6ccff7bae\",0,\"lean_workbook_1041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140503,
+      "path": "data/train/p3e/goedel_workbook-000003-0000-34dd66ec76b12fc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "34dd66ec76b12fc6a6a5e9297f2edd7cd53e994dbe4d571f8ebd4c1c36059a31"
+    },
+    {
+      "bytes": 51046,
+      "path": "data/dev/p3e/goedel_workbook-000003-0000-080fcae6abfd9b75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "080fcae6abfd9b75af290daf3d5187c906924c22dba51e9728bcf6f0cf4b8142"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000004.json b/manifests/batches/goedel_workbook/000004.json
index 6e707c3fde0cd585b5de48ee7c46979dfd22f04b..092f892efdf0aa2031b2b4436b742361da138065 100644
--- a/manifests/batches/goedel_workbook/000004.json
+++ b/manifests/batches/goedel_workbook/000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000004",
   "batch_fingerprint": "02b7da9bdb776e96b05eab205cd6905b56f5a39869f14b6ae94238d89ebc48a1",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000004-0000-da03362983cc6b25.parquet",
-      "sha256": "da03362983cc6b25c8caac68f8f0cc6efd706401008434b167a65944f288b610",
-      "bytes": 187072,
-      "rows": 36,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000004-0000-8495b55d6246b928.parquet",
-      "sha256": "8495b55d6246b928ffe5cb6349b6f0c86ac7fd9dbfe1bc0c33328c89cba20eef",
-      "bytes": 55967,
-      "rows": 8,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000004-0000-b0781211d77efc0a.parquet",
-      "sha256": "b0781211d77efc0a684077fb6d1d23967b5cabbd089293fe0a6214b14cdbc852",
-      "bytes": 42784,
-      "rows": 5,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10411",
     "goedel_workbook:lean_workbook_10412",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000120.lean\",\"1940bb7a5e1c42833f092955ff4aeae4b1d10ff79d9c76c665819290c6f741f5\",0,\"lean_workbook_10482\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000123.lean\",\"78833dd824e28d7e5fcd263e3b3491843bf84cea76a79392ab781825de64d92d\",0,\"lean_workbook_10497\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000124.lean\",\"d4b69223cf114862537603232b72ab54bce2cc1e44b62042eb1b82b5ca8d1d20\",0,\"lean_workbook_105\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187072,
+      "path": "data/train/p3e/goedel_workbook-000004-0000-da03362983cc6b25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "da03362983cc6b25c8caac68f8f0cc6efd706401008434b167a65944f288b610"
+    },
+    {
+      "bytes": 55967,
+      "path": "data/dev/p3e/goedel_workbook-000004-0000-8495b55d6246b928.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8495b55d6246b928ffe5cb6349b6f0c86ac7fd9dbfe1bc0c33328c89cba20eef"
+    },
+    {
+      "bytes": 42784,
+      "path": "data/internal_test/p3e/goedel_workbook-000004-0000-b0781211d77efc0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b0781211d77efc0a684077fb6d1d23967b5cabbd089293fe0a6214b14cdbc852"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000005.json b/manifests/batches/goedel_workbook/000005.json
index e4f43fd8d54046391df0078ef7acfc17de5372c7..460cd6202c854b71afd63ec613fdb04b5c23c4dd 100644
--- a/manifests/batches/goedel_workbook/000005.json
+++ b/manifests/batches/goedel_workbook/000005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000005",
   "batch_fingerprint": "b45f69b1b7c4f98e02d35034e6568257ad658a3f5f95b4379bdc518ed3cc09e6",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000005-0000-0ef9b6393ab9e658.parquet",
-      "sha256": "0ef9b6393ab9e65846e236125c61bc104f4c6dc158cb5aab912b2784d0d1a3d2",
-      "bytes": 103554,
-      "rows": 19,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000005-0000-14534c89e5aff60f.parquet",
-      "sha256": "14534c89e5aff60f9f65ec1f01cd71e7461755a505331deb64ba4f602184185b",
-      "bytes": 36523,
-      "rows": 3,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000005-0000-43e7ef32cd8993a4.parquet",
-      "sha256": "43e7ef32cd8993a4fd1d4e497031068f73270297c299abdab1f2e0e0919309e0",
-      "bytes": 29429,
-      "rows": 1,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10508",
     "goedel_workbook:lean_workbook_10511",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000146.lean\",\"7cc5a8ce315e2a390a562f32170f06d71ab1c8499e01242da0bc52be754cf95a\",0,\"lean_workbook_10628\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000147.lean\",\"1951d71244b78ac122c21e01faed613c9f6c0946d2528d187f7d12cfb3d375ae\",0,\"lean_workbook_10629\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000149.lean\",\"54e5866580a0abbc36a41ef1254db7761ebdc0b0a499f405dd94032e00de0f30\",0,\"lean_workbook_10631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103554,
+      "path": "data/train/p63/goedel_workbook-000005-0000-0ef9b6393ab9e658.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0ef9b6393ab9e65846e236125c61bc104f4c6dc158cb5aab912b2784d0d1a3d2"
+    },
+    {
+      "bytes": 36523,
+      "path": "data/dev/p63/goedel_workbook-000005-0000-14534c89e5aff60f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "14534c89e5aff60f9f65ec1f01cd71e7461755a505331deb64ba4f602184185b"
+    },
+    {
+      "bytes": 29429,
+      "path": "data/internal_test/p63/goedel_workbook-000005-0000-43e7ef32cd8993a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "43e7ef32cd8993a4fd1d4e497031068f73270297c299abdab1f2e0e0919309e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000006.json b/manifests/batches/goedel_workbook/000006.json
index fd7debdbe646e7351dc406fc6ce07956fa8345bd..ae2ed54f7628b5158b799fe7414d0134ff9e0896 100644
--- a/manifests/batches/goedel_workbook/000006.json
+++ b/manifests/batches/goedel_workbook/000006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000006",
   "batch_fingerprint": "c63618498d54e95d18236c90d892e9084faec1cbf59b20ad90d14db27eb84abf",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000006-0000-b7b1ecd2702063ab.parquet",
-      "sha256": "b7b1ecd2702063abc2f8fb91ff6fac969f1e4380914af280a0c2fd53655aad4b",
-      "bytes": 133222,
-      "rows": 24,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000006-0000-75ca686060d4e6d4.parquet",
-      "sha256": "75ca686060d4e6d41d56889ef98f194dc30549b46f8b2711e1db6f01987966a5",
-      "bytes": 40820,
-      "rows": 5,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000006-0000-78cf10f209bc4a91.parquet",
-      "sha256": "78cf10f209bc4a91f666dbabc29b8da99e0e62fe73f283bfb52f566604d9d365",
-      "bytes": 36451,
-      "rows": 2,
-      "revision": "9cbfa585d822a1a06c7a8b444edf86f1c702516f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10632",
     "goedel_workbook:lean_workbook_10646",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000169.lean\",\"5eb20d71a9b2f3dc28791afbb1c8f95e307b5e121e5cbbeb37cd08785c8a557d\",0,\"lean_workbook_10717\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000171.lean\",\"80d6de3db57438973d566dbd831dad2aaab16bfa104178a409f3a70dd67ced60\",0,\"lean_workbook_10719\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000173.lean\",\"66951aa5ad107bc9960ed77894c241f4a5e2abaa6fb408a3521af6787fb261d1\",0,\"lean_workbook_10728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133222,
+      "path": "data/train/p98/goedel_workbook-000006-0000-b7b1ecd2702063ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b7b1ecd2702063abc2f8fb91ff6fac969f1e4380914af280a0c2fd53655aad4b"
+    },
+    {
+      "bytes": 40820,
+      "path": "data/dev/p98/goedel_workbook-000006-0000-75ca686060d4e6d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "75ca686060d4e6d41d56889ef98f194dc30549b46f8b2711e1db6f01987966a5"
+    },
+    {
+      "bytes": 36451,
+      "path": "data/internal_test/p98/goedel_workbook-000006-0000-78cf10f209bc4a91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78cf10f209bc4a91f666dbabc29b8da99e0e62fe73f283bfb52f566604d9d365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000007.json b/manifests/batches/goedel_workbook/000007.json
index 672cbfd79c20944e042d3fdefba2999e24a57321..cc0ff6da635caf1b98a1780525b57e0eda557179 100644
--- a/manifests/batches/goedel_workbook/000007.json
+++ b/manifests/batches/goedel_workbook/000007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000007",
   "batch_fingerprint": "3026fad13f4d4d79400d310d3730ca4ade4fcfec3a328d12bee915c25ae5c3af",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000007-0000-ba4bc5d65d542531.parquet",
-      "sha256": "ba4bc5d65d54253186e5e79edb84436e97fac1dbe637050751cf7830afbe8485",
-      "bytes": 211492,
-      "rows": 47,
-      "revision": "92f9aa095c8bbc8595017f08b3435f900a6b49fa"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000007-0000-1fa42c97af5f5d32.parquet",
-      "sha256": "1fa42c97af5f5d3268cc1af14a0d08618bae190bfac6df701fd0ff513eb89e5e",
-      "bytes": 25213,
-      "rows": 1,
-      "revision": "92f9aa095c8bbc8595017f08b3435f900a6b49fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10732",
     "goedel_workbook:lean_workbook_10740",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000197.lean\",\"9a8ff9a37b840666ab080c80344281eb56af16ee495546962b30c227b14ef48c\",0,\"lean_workbook_10832\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000198.lean\",\"220a2141942cd7020949a3aedbe138908f92fba5544dcefa6362f1b88a99963c\",0,\"lean_workbook_10833\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000199.lean\",\"6938d71fbd824fcf05c440c1e4094d1a3ab01e54a6dcb522739ff9344c9f8a04\",0,\"lean_workbook_10834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211492,
+      "path": "data/train/p81/goedel_workbook-000007-0000-ba4bc5d65d542531.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "ba4bc5d65d54253186e5e79edb84436e97fac1dbe637050751cf7830afbe8485"
+    },
+    {
+      "bytes": 25213,
+      "path": "data/dev/p81/goedel_workbook-000007-0000-1fa42c97af5f5d32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1fa42c97af5f5d3268cc1af14a0d08618bae190bfac6df701fd0ff513eb89e5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000008.json b/manifests/batches/goedel_workbook/000008.json
index 9b5d57ebfee985c7fcddffb0f033d2cb08d6fca4..3e8605484b9829433eeb32e70c0e65bcd1d5d2a0 100644
--- a/manifests/batches/goedel_workbook/000008.json
+++ b/manifests/batches/goedel_workbook/000008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000008",
   "batch_fingerprint": "b26031a12d3b601c622f9116b83723991e0a61c27f098c3f191a17e81b577bb1",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000008-0000-037d118fb279abea.parquet",
-      "sha256": "037d118fb279abeab0272e1a6338de9ee76885d3e8f5201d2bd8e1888d060377",
-      "bytes": 206363,
-      "rows": 45,
-      "revision": "92f9aa095c8bbc8595017f08b3435f900a6b49fa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000008-0000-30b4f5956f992f02.parquet",
-      "sha256": "30b4f5956f992f0263c1ea1b13a047fea6bca72d413523691a12c237558cd4de",
-      "bytes": 74215,
-      "rows": 11,
-      "revision": "92f9aa095c8bbc8595017f08b3435f900a6b49fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10855",
     "goedel_workbook:lean_workbook_10857",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000222.lean\",\"7ccd603316034c12e773630cb75e73e44b05b8319f3c84025a1a2ae2ece08f1f\",0,\"lean_workbook_10924\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000223.lean\",\"6de33fe9277bca16718e7902824a2e27107dcce1cc91a1caf1c85da2b7d5a96e\",0,\"lean_workbook_10925\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000224.lean\",\"09ba04f79c5bc7dba81e556b0cbaa1228003eaacc880c12eadaab95413b20e7e\",0,\"lean_workbook_10933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206363,
+      "path": "data/train/p0c/goedel_workbook-000008-0000-037d118fb279abea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "037d118fb279abeab0272e1a6338de9ee76885d3e8f5201d2bd8e1888d060377"
+    },
+    {
+      "bytes": 74215,
+      "path": "data/internal_test/p0c/goedel_workbook-000008-0000-30b4f5956f992f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "30b4f5956f992f0263c1ea1b13a047fea6bca72d413523691a12c237558cd4de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000009.json b/manifests/batches/goedel_workbook/000009.json
index 048d9dbc179792c6d0e5dd6c7dae09af7576a318..b751261655c26f8d33e882ca0bab85294bafc58e 100644
--- a/manifests/batches/goedel_workbook/000009.json
+++ b/manifests/batches/goedel_workbook/000009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000009",
   "batch_fingerprint": "4b57faa44ee6f67af97b4c199dc21b81e2f2cbc3a96ca4019e9032d87120aa45",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000009-0000-39bbc9e19d572dae.parquet",
-      "sha256": "39bbc9e19d572dae20af927ecb8ae2be402930b7eda1e2a753dd684a106dfa57",
-      "bytes": 94135,
-      "rows": 23,
-      "revision": "57db11b519dd5f06e598ef66878bcf876f28262b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000009-0000-b6b481be37ff0345.parquet",
-      "sha256": "b6b481be37ff0345c30b0a73e9ccf404b3c3b5a4d4921e7eb88ecf37fdcf6963",
-      "bytes": 32912,
-      "rows": 1,
-      "revision": "57db11b519dd5f06e598ef66878bcf876f28262b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000009-0000-4e25627874523fd1.parquet",
-      "sha256": "4e25627874523fd1cab1baf87becc33a1e4bba3c5ec69ded8d94b2f68685aa5c",
-      "bytes": 71694,
-      "rows": 28,
-      "revision": "57db11b519dd5f06e598ef66878bcf876f28262b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_10945",
     "goedel_workbook:lean_workbook_10946",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000245.lean\",\"4e800dd48f799574bc33371092dab6781c00a2fdd2ef753aed1633b8048e9f15\",0,\"lean_workbook_11013\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000248.lean\",\"bb986ee35f1ce127d6368392e9769576a23015ff4d0341c91db828e31b09867e\",0,\"lean_workbook_11021\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000249.lean\",\"ee2bf1d0b203825c4cdc9fbef38bb672398e94f149cac56d59b05acda4ff4493\",0,\"lean_workbook_11023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94135,
+      "path": "data/train/p89/goedel_workbook-000009-0000-39bbc9e19d572dae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "39bbc9e19d572dae20af927ecb8ae2be402930b7eda1e2a753dd684a106dfa57"
+    },
+    {
+      "bytes": 32912,
+      "path": "data/dev/p89/goedel_workbook-000009-0000-b6b481be37ff0345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b6b481be37ff0345c30b0a73e9ccf404b3c3b5a4d4921e7eb88ecf37fdcf6963"
+    },
+    {
+      "bytes": 71694,
+      "path": "data/internal_test/p89/goedel_workbook-000009-0000-4e25627874523fd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4e25627874523fd1cab1baf87becc33a1e4bba3c5ec69ded8d94b2f68685aa5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000010.json b/manifests/batches/goedel_workbook/000010.json
index 94daa388eeaf32addcfbb053cdc0c7dfd8019f8b..2c107b134f3ba7306bbe603fe55734996b4d14a2 100644
--- a/manifests/batches/goedel_workbook/000010.json
+++ b/manifests/batches/goedel_workbook/000010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000010",
   "batch_fingerprint": "306b85535843b95dca19149ecf9cc3108579a3df44210d2a4b5ed4647e167d7e",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000010-0000-1bdabb1edc4d6a4b.parquet",
-      "sha256": "1bdabb1edc4d6a4bab0bdb71b53bc7790c0285a08e49b586c1f2fc3a18527ee5",
-      "bytes": 230939,
-      "rows": 55,
-      "revision": "57db11b519dd5f06e598ef66878bcf876f28262b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000010-0000-7926f8ff7eb41f31.parquet",
-      "sha256": "7926f8ff7eb41f3116ffb4d7bd9fe918d7794a78deaf5e19f6171b6c39ce3cc2",
-      "bytes": 124748,
-      "rows": 13,
-      "revision": "57db11b519dd5f06e598ef66878bcf876f28262b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11043",
     "goedel_workbook:lean_workbook_1105",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000271.lean\",\"7bc25a24b103032327bbb38ccbb30a09bdc7d14b7349b0f6b7135113404c70a7\",0,\"lean_workbook_11128\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000272.lean\",\"c2522ed647680f677bb9f8d479b47f2ebc3bcf88472cf6fdebed8ec9ef743b48\",0,\"lean_workbook_1114\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000274.lean\",\"75ecef39cd82ac6f8d2526b34dd997c7b70417d59bb28a6bc32ea691946db500\",0,\"lean_workbook_11153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230939,
+      "path": "data/train/p71/goedel_workbook-000010-0000-1bdabb1edc4d6a4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "1bdabb1edc4d6a4bab0bdb71b53bc7790c0285a08e49b586c1f2fc3a18527ee5"
+    },
+    {
+      "bytes": 124748,
+      "path": "data/internal_test/p71/goedel_workbook-000010-0000-7926f8ff7eb41f31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7926f8ff7eb41f3116ffb4d7bd9fe918d7794a78deaf5e19f6171b6c39ce3cc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000011.json b/manifests/batches/goedel_workbook/000011.json
index 8de3125a150d6a6f2ac10caa9b3f81390d9d8168..0e155cef79af8d9b671a0059cb8177165655d1c3 100644
--- a/manifests/batches/goedel_workbook/000011.json
+++ b/manifests/batches/goedel_workbook/000011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000011",
   "batch_fingerprint": "2cad5a79778cfb85812101b5e69153948fc6b006ec65fa8753c95b5f146c1775",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000011-0000-87c1a695e238d13e.parquet",
-      "sha256": "87c1a695e238d13eca90dee2cab6e38c0bb6890df1992b37f3440e6be3fd317b",
-      "bytes": 240989,
-      "rows": 44,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000011-0000-e83012d80bf09443.parquet",
-      "sha256": "e83012d80bf09443631614d096008e281c214bf2565396f36c7cc2497a44c97a",
-      "bytes": 45242,
-      "rows": 4,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11155",
     "goedel_workbook:lean_workbook_1116",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000293.lean\",\"001656890f23cadf8affa9c075801d99fc92f54164418b8ebbfc8b284c6258b1\",0,\"lean_workbook_1123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000295.lean\",\"3d2da1597b7f03c9e8880ad67608dd69389de2ad245880a63eca7b555d28e0d5\",0,\"lean_workbook_11246\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000299.lean\",\"323ce7498bebe53cb0ee87d6515b67dc105162d860add38865782e51e1de0a37\",0,\"lean_workbook_11263\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240989,
+      "path": "data/train/p33/goedel_workbook-000011-0000-87c1a695e238d13e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "87c1a695e238d13eca90dee2cab6e38c0bb6890df1992b37f3440e6be3fd317b"
+    },
+    {
+      "bytes": 45242,
+      "path": "data/internal_test/p33/goedel_workbook-000011-0000-e83012d80bf09443.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e83012d80bf09443631614d096008e281c214bf2565396f36c7cc2497a44c97a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000012.json b/manifests/batches/goedel_workbook/000012.json
index 8ac1f8d72dc2923398d7443317f9ee663c270e8c..5456977ecaf8f592e4d3f59da17c8ec3afe259a6 100644
--- a/manifests/batches/goedel_workbook/000012.json
+++ b/manifests/batches/goedel_workbook/000012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000012",
   "batch_fingerprint": "baa9b89b465dbb83d13837363a7c213a4abcd270d22ccf1c7b28933274e9451e",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000012-0000-0d75ef92ff7823d0.parquet",
-      "sha256": "0d75ef92ff7823d08705ea992d10df2ceee93f9d7a5ee0e7d72837847ff82274",
-      "bytes": 133310,
-      "rows": 32,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000012-0000-decd9294a7515872.parquet",
-      "sha256": "decd9294a75158726ca06aea739c25229a2b0bf580e04cf8624d07d6479dea08",
-      "bytes": 26628,
-      "rows": 1,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11268",
     "goedel_workbook:lean_workbook_11272",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000321.lean\",\"d4d9d40141ca38bfba59c927228abab3cde6fab513f0d18fea8db24a92460734\",0,\"lean_workbook_11320\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000322.lean\",\"159dfec1c79330406d99cef31271f0a8a70dbc85e5e2db9bd5a5cf2013434460\",0,\"lean_workbook_11322\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000324.lean\",\"9f24a0e3f94bfce77827268bf6332d31fe41f3c65468eccf8162d6089fac78c6\",0,\"lean_workbook_11335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133310,
+      "path": "data/train/p83/goedel_workbook-000012-0000-0d75ef92ff7823d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "0d75ef92ff7823d08705ea992d10df2ceee93f9d7a5ee0e7d72837847ff82274"
+    },
+    {
+      "bytes": 26628,
+      "path": "data/internal_test/p83/goedel_workbook-000012-0000-decd9294a7515872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "decd9294a75158726ca06aea739c25229a2b0bf580e04cf8624d07d6479dea08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000013.json b/manifests/batches/goedel_workbook/000013.json
index 7bc057edee72bd07391e5b7c27282d905c0ead87..d82d40b9ff64845b0f2b85fcf175b53ebd1ea94c 100644
--- a/manifests/batches/goedel_workbook/000013.json
+++ b/manifests/batches/goedel_workbook/000013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000013",
   "batch_fingerprint": "d326db9f0f21eb507f0809ff1223b0d9361a2079636a3ba121791a5ad7e2d9f3",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000013-0000-987345062f08ebbd.parquet",
-      "sha256": "987345062f08ebbdf45f594da7a456335089d77a86fc6768f2516f9cb7f8bc3c",
-      "bytes": 125576,
-      "rows": 32,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000013-0000-66be3cee237b07a7.parquet",
-      "sha256": "66be3cee237b07a79348dd752e76ef727aa4b74060cd55eb0ad68ac2e6a95387",
-      "bytes": 67783,
-      "rows": 3,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000013-0000-441e401ce65e172b.parquet",
-      "sha256": "441e401ce65e172b842c922972759d43425e3e72cefb7f540390183f5c3e7709",
-      "bytes": 41646,
-      "rows": 4,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11340",
     "goedel_workbook:lean_workbook_11343",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000345.lean\",\"9d5d720767ade1959e188cbdad4c23b70c20160591e968955fc4e71914413623\",0,\"lean_workbook_11403\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000346.lean\",\"009cd20017dbca2a631e8fa0d8d5d64cf436a67415ce64c8e1dd059e3660fa4e\",0,\"lean_workbook_11404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000348.lean\",\"59b9627c7f58ca8fdf8eb482cb338089cb8984f45365b1713acf0fd84b498cf3\",0,\"lean_workbook_11407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125576,
+      "path": "data/train/p53/goedel_workbook-000013-0000-987345062f08ebbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "987345062f08ebbdf45f594da7a456335089d77a86fc6768f2516f9cb7f8bc3c"
+    },
+    {
+      "bytes": 67783,
+      "path": "data/dev/p53/goedel_workbook-000013-0000-66be3cee237b07a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "66be3cee237b07a79348dd752e76ef727aa4b74060cd55eb0ad68ac2e6a95387"
+    },
+    {
+      "bytes": 41646,
+      "path": "data/internal_test/p53/goedel_workbook-000013-0000-441e401ce65e172b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "441e401ce65e172b842c922972759d43425e3e72cefb7f540390183f5c3e7709"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000014.json b/manifests/batches/goedel_workbook/000014.json
index 89485f0fb8b96db397a543e9e79cb1cab2307f68..1bcc8f452d6e8666cdc70e5f7900350eb5b2fbb1 100644
--- a/manifests/batches/goedel_workbook/000014.json
+++ b/manifests/batches/goedel_workbook/000014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000014",
   "batch_fingerprint": "98e05d4ad477e2f806c33235dbecd69fadcacfb6a24b66ed9d2795d557487e48",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000014-0000-413e927a89f8a6a3.parquet",
-      "sha256": "413e927a89f8a6a3664e16338167de3b8653c06e4e112a2e9ae1fab85ce1df25",
-      "bytes": 86734,
-      "rows": 23,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000014-0000-e8750776675c7fcd.parquet",
-      "sha256": "e8750776675c7fcd94308f91d392828250c2f19c62f4bf29c8e7c7bc0186ff76",
-      "bytes": 49389,
-      "rows": 8,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11417",
     "goedel_workbook:lean_workbook_11421",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000369.lean\",\"44d31f55fd352d295aa05cdb23eb1fbee74280f9fc6b3a106de2c1986369fe94\",0,\"lean_workbook_11514\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000371.lean\",\"bbee6ce80568c179ea396a6a8df0a2e115db21195f2cd797fca25963d8bd7268\",0,\"lean_workbook_11516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000374.lean\",\"234594109f362f45abb87a5af05b21bbf455a58a3a624d5cd581d6a11d13c958\",0,\"lean_workbook_11519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86734,
+      "path": "data/train/p72/goedel_workbook-000014-0000-413e927a89f8a6a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "413e927a89f8a6a3664e16338167de3b8653c06e4e112a2e9ae1fab85ce1df25"
+    },
+    {
+      "bytes": 49389,
+      "path": "data/internal_test/p72/goedel_workbook-000014-0000-e8750776675c7fcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e8750776675c7fcd94308f91d392828250c2f19c62f4bf29c8e7c7bc0186ff76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000015.json b/manifests/batches/goedel_workbook/000015.json
index 1cce7e70f036e4aca9918e853e90bd250e4dd2f1..dd17ecf246c1381d8ade879400fbe152faa4c8d4 100644
--- a/manifests/batches/goedel_workbook/000015.json
+++ b/manifests/batches/goedel_workbook/000015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000015",
   "batch_fingerprint": "f93b40bc1638d3e28d99dae1a2b1f309008aae80505dfc23079a49e476ba37c1",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000015-0000-24ff29efd57b71cb.parquet",
-      "sha256": "24ff29efd57b71cb91e7818893afed6a934bf9d949adc293ac08f75574c787fe",
-      "bytes": 125009,
-      "rows": 32,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000015-0000-0d434e18c7ffa4c6.parquet",
-      "sha256": "0d434e18c7ffa4c6225ba88e58c0b9b475fb0b559fc34fe386c2e24e1babc966",
-      "bytes": 35100,
-      "rows": 3,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11528",
     "goedel_workbook:lean_workbook_11529",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000396.lean\",\"78e09844a6d375494c523f6b0ddd250c972664f6b6846e9596e82ceec2148db4\",0,\"lean_workbook_11600\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000397.lean\",\"6de094356755e27da7daae244ed1954ddb95c12075b1d4acd9920a8697677ccd\",0,\"lean_workbook_1161\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000398.lean\",\"71ee0425850cf2f3603a6299e34537a8a7efdc1e817e9469185b095754f30a93\",0,\"lean_workbook_11611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125009,
+      "path": "data/train/pd1/goedel_workbook-000015-0000-24ff29efd57b71cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "24ff29efd57b71cb91e7818893afed6a934bf9d949adc293ac08f75574c787fe"
+    },
+    {
+      "bytes": 35100,
+      "path": "data/internal_test/pd1/goedel_workbook-000015-0000-0d434e18c7ffa4c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0d434e18c7ffa4c6225ba88e58c0b9b475fb0b559fc34fe386c2e24e1babc966"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000016.json b/manifests/batches/goedel_workbook/000016.json
index 63263fb8215df590bcfad802d363a28bbc5f03d6..f52ff5762c39cafe3a970564bff786a0010d1a61 100644
--- a/manifests/batches/goedel_workbook/000016.json
+++ b/manifests/batches/goedel_workbook/000016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000016",
   "batch_fingerprint": "485e15d0cf65a7a18a6680b006bbe60a6b1f4602e183a2c5956f595441d80bf9",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000016-0000-e0bd8625d71b1055.parquet",
-      "sha256": "e0bd8625d71b1055219d9331cbc7d4b0800ed008ef24e923613cca1d6364b879",
-      "bytes": 208360,
-      "rows": 40,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000016-0000-4f48de11afcefb30.parquet",
-      "sha256": "4f48de11afcefb30a26f8333b86aa13b5d951bee64b206c84d38ce607ddc70e8",
-      "bytes": 46113,
-      "rows": 4,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000016-0000-d7d5c26c54444313.parquet",
-      "sha256": "d7d5c26c5444431377d086c5670b8ba62b5123057c40f24404f7d62f97b151ef",
-      "bytes": 39770,
-      "rows": 3,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11623",
     "goedel_workbook:lean_workbook_11638",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000419.lean\",\"208d3d48524ce48be4a24b761209469cf4014280d124743ca3dc0989febc5a08\",0,\"lean_workbook_11708\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000420.lean\",\"3794531700b719f4e9d3ca09e7a7931cd999adc768ea82cf0a448bcb562e677c\",0,\"lean_workbook_11717\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000421.lean\",\"a81d7ff210959079800e63df8593e16138f4ae67cf03597ea5ec706bde1fc113\",0,\"lean_workbook_11718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208360,
+      "path": "data/train/p6a/goedel_workbook-000016-0000-e0bd8625d71b1055.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e0bd8625d71b1055219d9331cbc7d4b0800ed008ef24e923613cca1d6364b879"
+    },
+    {
+      "bytes": 46113,
+      "path": "data/dev/p6a/goedel_workbook-000016-0000-4f48de11afcefb30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4f48de11afcefb30a26f8333b86aa13b5d951bee64b206c84d38ce607ddc70e8"
+    },
+    {
+      "bytes": 39770,
+      "path": "data/internal_test/p6a/goedel_workbook-000016-0000-d7d5c26c54444313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7d5c26c5444431377d086c5670b8ba62b5123057c40f24404f7d62f97b151ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000017.json b/manifests/batches/goedel_workbook/000017.json
index e099f3757bae8e90fc7a8ee47a39cc2f33aee46e..78cafaba62b03a67e15e54650d078945147927a1 100644
--- a/manifests/batches/goedel_workbook/000017.json
+++ b/manifests/batches/goedel_workbook/000017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000017",
   "batch_fingerprint": "27f00e7f85ca279c28bb6e7842dd77961352698aaa0e76f29062c83e45488b5a",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000017-0000-687ccc20a6d75455.parquet",
-      "sha256": "687ccc20a6d7545515b6a80fe120e229ff1b0964ff590cfa36249566953ab2e5",
-      "bytes": 235569,
-      "rows": 53,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000017-0000-4bcf3c6cfab76689.parquet",
-      "sha256": "4bcf3c6cfab76689552744612493003c6a1b71d6e2cac90ea9983c7a496e7599",
-      "bytes": 35792,
-      "rows": 4,
-      "revision": "819fce6f682b568743c2ece72065933ea3affb26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11767",
     "goedel_workbook:lean_workbook_11776",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000447.lean\",\"06462a3dd944df61a5bd28367a6bbe69823486c0bb152d1ee7247b522995b486\",0,\"lean_workbook_1184\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000448.lean\",\"e6b52a63b7e176558372a16d38e57465774fd5040306fb6b23421e188e662505\",0,\"lean_workbook_11852\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000449.lean\",\"c3df4022143aa3bf29d6586f8664df58aed7245d90892f8aaeb095a9af846104\",0,\"lean_workbook_11862\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235569,
+      "path": "data/train/pd3/goedel_workbook-000017-0000-687ccc20a6d75455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "687ccc20a6d7545515b6a80fe120e229ff1b0964ff590cfa36249566953ab2e5"
+    },
+    {
+      "bytes": 35792,
+      "path": "data/internal_test/pd3/goedel_workbook-000017-0000-4bcf3c6cfab76689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4bcf3c6cfab76689552744612493003c6a1b71d6e2cac90ea9983c7a496e7599"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000018.json b/manifests/batches/goedel_workbook/000018.json
index 1d00f0afad3971b5ee7096c63ef92deb092c7af8..d2b987bc0caf3f645a5264139f9d82290bdd911e 100644
--- a/manifests/batches/goedel_workbook/000018.json
+++ b/manifests/batches/goedel_workbook/000018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000018",
   "batch_fingerprint": "a66e29ac808f3d3df07e9e8a45e50e6df4f712db21ea9357d5ee3ed6c6df6114",
   "evidence": {
@@ -92,29 +91,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000018-0000-67f12faa215325a6.parquet",
-      "sha256": "67f12faa215325a6ca1bc5eb4b71f39e82639be88a707e3fc338ab82196b8e51",
-      "bytes": 178733,
-      "rows": 49,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000018-0000-91f875febe44ce11.parquet",
-      "sha256": "91f875febe44ce111aaf30c22c3d8a1529cffd07266459ec6cff68072a73fd63",
-      "bytes": 36132,
-      "rows": 2,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000018-0000-6f68eb46569a9fa3.parquet",
-      "sha256": "6f68eb46569a9fa3d0f558019d7186effec8d1626fe9f0c20ee3e7e8b19ef447",
-      "bytes": 31765,
-      "rows": 1,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11865",
     "goedel_workbook:lean_workbook_11869",
@@ -160,5 +137,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000472.lean\",\"8fdb71a23b9feb8762a1c2118b77eaf0e85ace8d1705e26c2f3f30523e9d2309\",0,\"lean_workbook_11977\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000473.lean\",\"c1222a606b1515e136d24e7d356eb8aa14e2cb7c71849ccb237bfda8c7ee28ed\",0,\"lean_workbook_11983\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000474.lean\",\"9f6b514c5fed4cab2b0ced70dfde59d2e66d39044d00a942b8fc35b5ee41a60a\",0,\"lean_workbook_11985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178733,
+      "path": "data/train/p32/goedel_workbook-000018-0000-67f12faa215325a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "67f12faa215325a6ca1bc5eb4b71f39e82639be88a707e3fc338ab82196b8e51"
+    },
+    {
+      "bytes": 36132,
+      "path": "data/dev/p32/goedel_workbook-000018-0000-91f875febe44ce11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "91f875febe44ce111aaf30c22c3d8a1529cffd07266459ec6cff68072a73fd63"
+    },
+    {
+      "bytes": 31765,
+      "path": "data/internal_test/p32/goedel_workbook-000018-0000-6f68eb46569a9fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6f68eb46569a9fa3d0f558019d7186effec8d1626fe9f0c20ee3e7e8b19ef447"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000019.json b/manifests/batches/goedel_workbook/000019.json
index d5a125848a383de5f4fa29627b7511ceb1cbb7db..06c2da1c0a42ba95004c1d55520f22d2a96a134c 100644
--- a/manifests/batches/goedel_workbook/000019.json
+++ b/manifests/batches/goedel_workbook/000019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000019",
   "batch_fingerprint": "ad0750206302a16ab37883bc0e6305d6dfb127834d68d9dd8dc041353c85f97a",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000019-0000-ea63d4f0873ad600.parquet",
-      "sha256": "ea63d4f0873ad600458215542f8fd3e54d52df73f8c40b4867e9546798c61331",
-      "bytes": 168245,
-      "rows": 33,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000019-0000-715af85ae46f51d6.parquet",
-      "sha256": "715af85ae46f51d6d3ff256985a9c4c445be384cc489538e2154225d16d34318",
-      "bytes": 37432,
-      "rows": 2,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000019-0000-4e83d5640a3d6ec8.parquet",
-      "sha256": "4e83d5640a3d6ec8476f3643fcee1e3de8711b70f831f12635b91f368d85fdec",
-      "bytes": 23056,
-      "rows": 1,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_11995",
     "goedel_workbook:lean_workbook_11996",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000492.lean\",\"929b226f30d70e4bac6955e74d65d9cffbce0cb0271419e8c5a58a956838b714\",0,\"lean_workbook_12048\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000497.lean\",\"2a9798a4c21de1fdda196b9db1bdde62a3a65c2a007d2b9ae23752740917f882\",0,\"lean_workbook_12059\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000499.lean\",\"7d1db4780d8991cecec0eb915fd930d821986ff28bf623d800f0e35e1bd9b687\",0,\"lean_workbook_12075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168245,
+      "path": "data/train/pec/goedel_workbook-000019-0000-ea63d4f0873ad600.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "ea63d4f0873ad600458215542f8fd3e54d52df73f8c40b4867e9546798c61331"
+    },
+    {
+      "bytes": 37432,
+      "path": "data/dev/pec/goedel_workbook-000019-0000-715af85ae46f51d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "715af85ae46f51d6d3ff256985a9c4c445be384cc489538e2154225d16d34318"
+    },
+    {
+      "bytes": 23056,
+      "path": "data/internal_test/pec/goedel_workbook-000019-0000-4e83d5640a3d6ec8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e83d5640a3d6ec8476f3643fcee1e3de8711b70f831f12635b91f368d85fdec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000020.json b/manifests/batches/goedel_workbook/000020.json
index b9c12e2fa78bba9d4840509c4618052a6e8d4531..059249b31a25772234e46efffc2aabbc8050da56 100644
--- a/manifests/batches/goedel_workbook/000020.json
+++ b/manifests/batches/goedel_workbook/000020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000020",
   "batch_fingerprint": "dd41ab193e3d4b68b5a80030cfa26b266e15e1b9326569c5c26f350acd086c5c",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000020-0000-2e3ec26f3c2d0f47.parquet",
-      "sha256": "2e3ec26f3c2d0f4703812a08ad7f07e815ad4df9753b61a37b7ba0742942a5ae",
-      "bytes": 191538,
-      "rows": 40,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000020-0000-4d525b78a21f2a03.parquet",
-      "sha256": "4d525b78a21f2a03cbd7c6b6c60c596953100bf538521984c645b5376504c9ca",
-      "bytes": 31007,
-      "rows": 1,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000020-0000-40314336a69f9bcc.parquet",
-      "sha256": "40314336a69f9bcc8cf7d3d12373de74ab86ee1197d3f40aa394e3ce43f8be84",
-      "bytes": 28349,
-      "rows": 1,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12088",
     "goedel_workbook:lean_workbook_12105",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000521.lean\",\"29d3fc26cb017253f30f6a3186dc6c55f7e1963234ecd237142e9dff1eb141a7\",0,\"lean_workbook_12201\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000522.lean\",\"0e4a296bd70ea0b68436624554e06a33177af18f1691022dc87cbc1adf49fb6a\",0,\"lean_workbook_12220\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000524.lean\",\"65b47845c9ed08edc2e532bb33a4443309916e1cb20af0a87f57d57d9d2c2871\",0,\"lean_workbook_12229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191538,
+      "path": "data/train/p00/goedel_workbook-000020-0000-2e3ec26f3c2d0f47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "2e3ec26f3c2d0f4703812a08ad7f07e815ad4df9753b61a37b7ba0742942a5ae"
+    },
+    {
+      "bytes": 31007,
+      "path": "data/dev/p00/goedel_workbook-000020-0000-4d525b78a21f2a03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4d525b78a21f2a03cbd7c6b6c60c596953100bf538521984c645b5376504c9ca"
+    },
+    {
+      "bytes": 28349,
+      "path": "data/internal_test/p00/goedel_workbook-000020-0000-40314336a69f9bcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "40314336a69f9bcc8cf7d3d12373de74ab86ee1197d3f40aa394e3ce43f8be84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000021.json b/manifests/batches/goedel_workbook/000021.json
index 55db0db9759aa7f71832a64bf86afc9cd7c7d33a..e4e29acda68cd386b67e144f797228ea4d8d6456 100644
--- a/manifests/batches/goedel_workbook/000021.json
+++ b/manifests/batches/goedel_workbook/000021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000021",
   "batch_fingerprint": "0c49d47487aa3653f099131a9020775122b0d92cae0b0e78b1f74e0a9b815e9a",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000021-0000-b7d5ba9652d8ce8d.parquet",
-      "sha256": "b7d5ba9652d8ce8d024800e12fcecc4844dc9afa060a9500f7e9f10a7dc9d954",
-      "bytes": 164209,
-      "rows": 40,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000021-0000-af40f8d076c0a813.parquet",
-      "sha256": "af40f8d076c0a813390d7f831df84c589d38f5dbd4b5baa9b9fdc9f8da1b07e9",
-      "bytes": 28906,
-      "rows": 1,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12235",
     "goedel_workbook:lean_workbook_12240",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000545.lean\",\"a024f93b64ed8f33caed893c2d453b01ca5c22ed0d55beff4587730baa74f42e\",0,\"lean_workbook_12321\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000546.lean\",\"669dccdc857fabcab5eeab8c7ffe845bf9a86f287306fa58d7c44aff5f3a646a\",0,\"lean_workbook_12323\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000547.lean\",\"56d831565bd1f54cd70ea44cdfbdaa5c5f878baafc601a218cae2ca0bb635bf7\",0,\"lean_workbook_12324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164209,
+      "path": "data/train/p41/goedel_workbook-000021-0000-b7d5ba9652d8ce8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "b7d5ba9652d8ce8d024800e12fcecc4844dc9afa060a9500f7e9f10a7dc9d954"
+    },
+    {
+      "bytes": 28906,
+      "path": "data/dev/p41/goedel_workbook-000021-0000-af40f8d076c0a813.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "af40f8d076c0a813390d7f831df84c589d38f5dbd4b5baa9b9fdc9f8da1b07e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000022.json b/manifests/batches/goedel_workbook/000022.json
index 00dd334431f7250f64811edbe625d05147a6c241..1453a09b98184b0089dbef84ccc93914d5744983 100644
--- a/manifests/batches/goedel_workbook/000022.json
+++ b/manifests/batches/goedel_workbook/000022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000022",
   "batch_fingerprint": "a208674636ccd8abfb1ce85b37b384dcb2416a96be135f7da440f53d8b6a9144",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000022-0000-1b4328604ad6bd72.parquet",
-      "sha256": "1b4328604ad6bd7205354e173ff88c244f1da1a8339f11e213dac6e33119a6b9",
-      "bytes": 253612,
-      "rows": 53,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000022-0000-2ebc4814bf212256.parquet",
-      "sha256": "2ebc4814bf21225682fdbab47aec3da9d4bf50b47a352177e0a04be6fd85d05b",
-      "bytes": 49326,
-      "rows": 6,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000022-0000-88ea5c2f590a0de6.parquet",
-      "sha256": "88ea5c2f590a0de623200725ef43e175cb535a61484a26e02f1d5754deba0331",
-      "bytes": 38918,
-      "rows": 3,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12335",
     "goedel_workbook:lean_workbook_12336",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000572.lean\",\"c69a1611e4c9a6a166ebc1e52e109b165b9e0e0776bee7272d958c2782b0c515\",0,\"lean_workbook_12401\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000573.lean\",\"e8426415a76d2027918c471914077cc6fec2d1bd00022fab470a7f1a9ac88d45\",0,\"lean_workbook_12410\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000574.lean\",\"912b7f6f5411654bc987018d2e4b5a431ea95934a308ceb7789a6ad5b1bf3143\",0,\"lean_workbook_12420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253612,
+      "path": "data/train/pd2/goedel_workbook-000022-0000-1b4328604ad6bd72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "1b4328604ad6bd7205354e173ff88c244f1da1a8339f11e213dac6e33119a6b9"
+    },
+    {
+      "bytes": 49326,
+      "path": "data/dev/pd2/goedel_workbook-000022-0000-2ebc4814bf212256.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2ebc4814bf21225682fdbab47aec3da9d4bf50b47a352177e0a04be6fd85d05b"
+    },
+    {
+      "bytes": 38918,
+      "path": "data/internal_test/pd2/goedel_workbook-000022-0000-88ea5c2f590a0de6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88ea5c2f590a0de623200725ef43e175cb535a61484a26e02f1d5754deba0331"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000023.json b/manifests/batches/goedel_workbook/000023.json
index 11d6b5e507861e76ce0127a15624b1313c15aaf0..c156fe90f6320d12e1eff873118651fdd83d82b6 100644
--- a/manifests/batches/goedel_workbook/000023.json
+++ b/manifests/batches/goedel_workbook/000023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000023",
   "batch_fingerprint": "ac836b6d63d13381b1a2fc105010ed846d9339c83d970c5b17e5e2354d337148",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000023-0000-d1d9ee9a82f3812c.parquet",
-      "sha256": "d1d9ee9a82f3812c151d7eb88922bbe79cee232a57316adf74f794db6411e096",
-      "bytes": 162583,
-      "rows": 41,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000023-0000-9cd4aead1a23f648.parquet",
-      "sha256": "9cd4aead1a23f64890e0f2ee693ff0daa1a58f15169e4c00c2f138a44568de50",
-      "bytes": 47923,
-      "rows": 5,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12432",
     "goedel_workbook:lean_workbook_12433",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000594.lean\",\"aef4d26ab080eb381d1e87ccc9bd483b226dbfdd067011f842ed4ad9225f20ff\",0,\"lean_workbook_12496\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000596.lean\",\"fac5a46f112e868081b5731913674043fa8abc05dd03af99fa5a795b183bedd6\",0,\"lean_workbook_12503\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000599.lean\",\"d03c7554d93076d7f22bcba266fe625456b7e9244243ee3bf8474b345c32f136\",0,\"lean_workbook_12514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162583,
+      "path": "data/train/pd8/goedel_workbook-000023-0000-d1d9ee9a82f3812c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "d1d9ee9a82f3812c151d7eb88922bbe79cee232a57316adf74f794db6411e096"
+    },
+    {
+      "bytes": 47923,
+      "path": "data/internal_test/pd8/goedel_workbook-000023-0000-9cd4aead1a23f648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9cd4aead1a23f64890e0f2ee693ff0daa1a58f15169e4c00c2f138a44568de50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000024.json b/manifests/batches/goedel_workbook/000024.json
index 4db308ee0317b66a3ef291e766e99100b7565f70..ac438df62dc3ea8fcb806250d2cbaea7ab904ffc 100644
--- a/manifests/batches/goedel_workbook/000024.json
+++ b/manifests/batches/goedel_workbook/000024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000024",
   "batch_fingerprint": "4d700ca928b2193555d6ce627f20bdc4504ef8a3bb6fae88213e9bde48cdc5b0",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000024-0000-124a8d82742ae46a.parquet",
-      "sha256": "124a8d82742ae46a819fde0f4b7a1da99e5edfdab35ca3f89afd4bd843817c0a",
-      "bytes": 87109,
-      "rows": 24,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12525",
     "goedel_workbook:lean_workbook_12536",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000618.lean\",\"52febf77af3078b3004ababb295f7e3d42de8f96e11ee769af0278bd5e29af7e\",0,\"lean_workbook_12589\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000620.lean\",\"e2f1e6185488a81774cc57fed439e37041f41eca6788bbe56f580edd71de7c3e\",0,\"lean_workbook_12590\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000622.lean\",\"33393f8f67ed5fb94822864117ceea8235aa814151729dd6decf18568d95e248\",0,\"lean_workbook_1260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87109,
+      "path": "data/train/p8f/goedel_workbook-000024-0000-124a8d82742ae46a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "124a8d82742ae46a819fde0f4b7a1da99e5edfdab35ca3f89afd4bd843817c0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000025.json b/manifests/batches/goedel_workbook/000025.json
index ae592f15d3aae3461363e01d1a5f20f5df94a968..68245e8e10c706b2f6f3927421d1bafda5d7022c 100644
--- a/manifests/batches/goedel_workbook/000025.json
+++ b/manifests/batches/goedel_workbook/000025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000025",
   "batch_fingerprint": "9881560d5c1c240e838e57c86e7140a0f8d042e066da84e610cef2e74f2a7374",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000025-0000-859a71fabc1f22df.parquet",
-      "sha256": "859a71fabc1f22df2a8b5155ad5934c710617deed42b38f52ee07d23c675f90b",
-      "bytes": 142621,
-      "rows": 38,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12625",
     "goedel_workbook:lean_workbook_12626",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000641.lean\",\"6265eb16e5cad06bbd79fd9940999e081197697640453418bdaa435b45ec1a08\",0,\"lean_workbook_1267\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000643.lean\",\"3bc630075de9eea5c7aa19bf83c1e89c76c33d6993fa2c5452a330ef0bd53f65\",0,\"lean_workbook_12674\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000644.lean\",\"011987ba65ca7011b177b6e59943e576e12f1ce0dd1048286303ebe5e38cc1ae\",0,\"lean_workbook_12675\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142621,
+      "path": "data/train/p8c/goedel_workbook-000025-0000-859a71fabc1f22df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "859a71fabc1f22df2a8b5155ad5934c710617deed42b38f52ee07d23c675f90b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000026.json b/manifests/batches/goedel_workbook/000026.json
index f475d7cf12e747c7f216c4099d04672c5c873023..0f89598aa8770b21c867f050ec430d4601da6f33 100644
--- a/manifests/batches/goedel_workbook/000026.json
+++ b/manifests/batches/goedel_workbook/000026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000026",
   "batch_fingerprint": "878a6be4438df9d1203675a06d0f441052796a3b6677aa00541d7cbfb3770735",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000026-0000-2e5d80983643a9d5.parquet",
-      "sha256": "2e5d80983643a9d55ecc3960162ac5f40dbb55912beb37fdfb22778a001e5b0e",
-      "bytes": 156915,
-      "rows": 34,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000026-0000-648595ea28026ee6.parquet",
-      "sha256": "648595ea28026ee65d270f752a8da7063745e59130e2fc8a895c2ab93de9e903",
-      "bytes": 33400,
-      "rows": 2,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12694",
     "goedel_workbook:lean_workbook_12696",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000672.lean\",\"727394dac14ae1f52a73df4005312c59f4880e30d01b66eebbd1d2a1f7eadac2\",0,\"lean_workbook_12797\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000673.lean\",\"455886aec5612afbaac79030a789102edbfc947625e2477e0d71f3124a535e87\",0,\"lean_workbook_12802\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000674.lean\",\"0061ef892fb929a81922db8c85adb72ef5ffc948cfff22548932a8feb4af1437\",0,\"lean_workbook_12814\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156915,
+      "path": "data/train/p8b/goedel_workbook-000026-0000-2e5d80983643a9d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "2e5d80983643a9d55ecc3960162ac5f40dbb55912beb37fdfb22778a001e5b0e"
+    },
+    {
+      "bytes": 33400,
+      "path": "data/internal_test/p8b/goedel_workbook-000026-0000-648595ea28026ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "648595ea28026ee65d270f752a8da7063745e59130e2fc8a895c2ab93de9e903"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000027.json b/manifests/batches/goedel_workbook/000027.json
index ba616ae864e0833e213aede2da6aab0165802f33..c48ff0498555ab0173f8ce230fb23ea9e42f6f14 100644
--- a/manifests/batches/goedel_workbook/000027.json
+++ b/manifests/batches/goedel_workbook/000027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000027",
   "batch_fingerprint": "f22a1a067a72744194e2f9a433701eabab44807d5d63669695fb44cd05acbcc1",
   "evidence": {
@@ -290,22 +289,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000027-0000-361369a1ad12b736.parquet",
-      "sha256": "361369a1ad12b736e2aece5831655e1404f99f3c8960892dc9e507614cbde991",
-      "bytes": 152882,
-      "rows": 30,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000027-0000-3c0aa9ac81ad7e5f.parquet",
-      "sha256": "3c0aa9ac81ad7e5fede89dc54a516640ef0f0f6111b27e95315dec7916b80e33",
-      "bytes": 47861,
-      "rows": 4,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12826",
     "goedel_workbook:lean_workbook_12831",
@@ -329,5 +313,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000694.lean\",\"e8462fcf8e7cdfea34616dbdc2f0544eb2358abcccaca78afbdad30890d2e4d1\",0,\"lean_workbook_12921\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000696.lean\",\"9459572353e9bb6e58698765cd0db38b3b728e361b88656f12d72ae573439816\",0,\"lean_workbook_12934\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000697.lean\",\"c5950341c0eb6239e32bf3f5c32280c5c0584703bd6e994669ca7961fec99bb2\",0,\"lean_workbook_12935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152882,
+      "path": "data/train/p8f/goedel_workbook-000027-0000-361369a1ad12b736.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "361369a1ad12b736e2aece5831655e1404f99f3c8960892dc9e507614cbde991"
+    },
+    {
+      "bytes": 47861,
+      "path": "data/dev/p8f/goedel_workbook-000027-0000-3c0aa9ac81ad7e5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3c0aa9ac81ad7e5fede89dc54a516640ef0f0f6111b27e95315dec7916b80e33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000028.json b/manifests/batches/goedel_workbook/000028.json
index 28bd0735cec4ca91b2fe83fea51aad27648ca80c..7a138f62ed6f1dc5b2eb100527a1f35d4afa1d0a 100644
--- a/manifests/batches/goedel_workbook/000028.json
+++ b/manifests/batches/goedel_workbook/000028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000028",
   "batch_fingerprint": "81107fcd717603cec4cfe68267d0b8c1c580daedcc8967835ca85fb295a82823",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000028-0000-6885e2d2bd1b85ed.parquet",
-      "sha256": "6885e2d2bd1b85ed5ec70122403fb9e1bf3edb88e4304093e84744f67968537a",
-      "bytes": 238776,
-      "rows": 38,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000028-0000-af3157f9e017c24f.parquet",
-      "sha256": "af3157f9e017c24f81cd922a5171536e8e7b498d8406ccbf2249561d5df8a01c",
-      "bytes": 58298,
-      "rows": 5,
-      "revision": "abc1566a5488b6551ab3e15f1bb0c5cef56cd06f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_12951",
     "goedel_workbook:lean_workbook_12957",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000722.lean\",\"42bf3a4753d913d4d225ac80fd7576b7214cccd59ab57d92ebcc73f054dd1ac1\",0,\"lean_workbook_13038\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000723.lean\",\"be47e4a747bdcbc82d63f3b630f1dc21bdf1c6e71291b1395332a6e727352e9c\",0,\"lean_workbook_13045\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000724.lean\",\"e98c9aea158d90b0367e07c15960a6405976e39e0f87e022998aae5f5cccd58a\",0,\"lean_workbook_13054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238776,
+      "path": "data/train/p23/goedel_workbook-000028-0000-6885e2d2bd1b85ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "6885e2d2bd1b85ed5ec70122403fb9e1bf3edb88e4304093e84744f67968537a"
+    },
+    {
+      "bytes": 58298,
+      "path": "data/internal_test/p23/goedel_workbook-000028-0000-af3157f9e017c24f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "af3157f9e017c24f81cd922a5171536e8e7b498d8406ccbf2249561d5df8a01c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000029.json b/manifests/batches/goedel_workbook/000029.json
index 0ca20dd96e3b2bace7877268c325c1069e95a8d2..84eead22b536e7b6f29e03671ca785b1c2931996 100644
--- a/manifests/batches/goedel_workbook/000029.json
+++ b/manifests/batches/goedel_workbook/000029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000029",
   "batch_fingerprint": "7b94620d31260c0d5f037b46ff0ebf77c598050a06280a759e02115ed0687f31",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000029-0000-f58e0d5df8386cc5.parquet",
-      "sha256": "f58e0d5df8386cc56dd34325b3d2693396a4651338a76cf2edb24ae11d3c2a02",
-      "bytes": 103230,
-      "rows": 25,
-      "revision": "a01dce84d1381d5c7edf2d4eb8847300cf35215e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000029-0000-ec8aa343e7fb2cef.parquet",
-      "sha256": "ec8aa343e7fb2cefe2ee572dda9603f84c4f7a778f50cb06d45ccc7d40cf5f9d",
-      "bytes": 32348,
-      "rows": 2,
-      "revision": "a01dce84d1381d5c7edf2d4eb8847300cf35215e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000029-0000-66a10ada58c4626d.parquet",
-      "sha256": "66a10ada58c4626d0c5ad961c0064828df8cb454b0b2f06f59014e9499a15380",
-      "bytes": 47737,
-      "rows": 7,
-      "revision": "a01dce84d1381d5c7edf2d4eb8847300cf35215e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13059",
     "goedel_workbook:lean_workbook_13060",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000745.lean\",\"74d8279589dc4ddb89b334db30a3c277ac2eb60ab97e73ed3859adb3483173ef\",0,\"lean_workbook_13158\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000747.lean\",\"3f3778cbcc2cbe0b1d213456888f163a05272dd609a3da75c7797346760344eb\",0,\"lean_workbook_13176\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000749.lean\",\"b500d4e2b445f7672000e62bd6a4e1481175c93e0e1e5361e4c4f71b31d7a7f2\",0,\"lean_workbook_13197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103230,
+      "path": "data/train/p10/goedel_workbook-000029-0000-f58e0d5df8386cc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f58e0d5df8386cc56dd34325b3d2693396a4651338a76cf2edb24ae11d3c2a02"
+    },
+    {
+      "bytes": 32348,
+      "path": "data/dev/p10/goedel_workbook-000029-0000-ec8aa343e7fb2cef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ec8aa343e7fb2cefe2ee572dda9603f84c4f7a778f50cb06d45ccc7d40cf5f9d"
+    },
+    {
+      "bytes": 47737,
+      "path": "data/internal_test/p10/goedel_workbook-000029-0000-66a10ada58c4626d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "66a10ada58c4626d0c5ad961c0064828df8cb454b0b2f06f59014e9499a15380"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000030.json b/manifests/batches/goedel_workbook/000030.json
index f4f242c7bb430555ac3345beb02afec6b6ccd96e..1785dd5220d70d9a1be4d07615108ae4d3cacc09 100644
--- a/manifests/batches/goedel_workbook/000030.json
+++ b/manifests/batches/goedel_workbook/000030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000030",
   "batch_fingerprint": "7a71b3604c427ced6188bdf6af1743bf3e63a656208349f9798ada309ef0cb3e",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000030-0000-53b0482f245db7be.parquet",
-      "sha256": "53b0482f245db7be5f972c74bd774f95b5b3b0e344d73a497f56d58e90c14515",
-      "bytes": 91548,
-      "rows": 27,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000030-0000-fd358468fc438e92.parquet",
-      "sha256": "fd358468fc438e92858ffda5c9ca626135f0d4821a5c8fe7979bfbd67dd66ea1",
-      "bytes": 44644,
-      "rows": 3,
-      "revision": "0f22755c9338e2bfeece14359e1b1c9f6149ddfc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13200",
     "goedel_workbook:lean_workbook_13204",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000769.lean\",\"26f549a0a45cb124081aeeca14214377b94c2c62bfbd9285e06a3521bbe736d3\",0,\"lean_workbook_13265\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000770.lean\",\"ab347843675703fac361d29be70f2b5f497412bc4b6be5da4df021c8087f1764\",0,\"lean_workbook_13267\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000774.lean\",\"e85c56b75635bf90d2ecc1f0d50ff951ddafc2f66571cbbc80abb0d140eefb4f\",0,\"lean_workbook_13292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91548,
+      "path": "data/train/pf9/goedel_workbook-000030-0000-53b0482f245db7be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "53b0482f245db7be5f972c74bd774f95b5b3b0e344d73a497f56d58e90c14515"
+    },
+    {
+      "bytes": 44644,
+      "path": "data/internal_test/pf9/goedel_workbook-000030-0000-fd358468fc438e92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fd358468fc438e92858ffda5c9ca626135f0d4821a5c8fe7979bfbd67dd66ea1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000031.json b/manifests/batches/goedel_workbook/000031.json
index 37dc0cf04f736e21c67394c36eeb1ff828ad8940..0c214d6a77ca4691724a128cda77fcb1ccf6cb68 100644
--- a/manifests/batches/goedel_workbook/000031.json
+++ b/manifests/batches/goedel_workbook/000031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000031",
   "batch_fingerprint": "9da56e5c6a04b904e9018f564a0dea9bbdf5f91b27f2f0f2f7b93c4015c79b4b",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000031-0000-e4b271a1d1932547.parquet",
-      "sha256": "e4b271a1d1932547a35c8ff53fa177317931dec8bf03d59ed1df8dc48fd21b10",
-      "bytes": 177681,
-      "rows": 40,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000031-0000-806eff267335e593.parquet",
-      "sha256": "806eff267335e5935a9f842724cc702ad358efec22e4b79cfd1467dee09040b3",
-      "bytes": 55259,
-      "rows": 8,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000031-0000-e2dfcfb63f8b120f.parquet",
-      "sha256": "e2dfcfb63f8b120f7708bb18730c640ff3c3749fa7115f1be0c537938f9a3bf7",
-      "bytes": 49742,
-      "rows": 6,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13299",
     "goedel_workbook:lean_workbook_13300",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000795.lean\",\"9554ea29df32fb13bd6efc4b9ead5038565d80c3ffb5dc2c5ecf1a6e9cdccbc6\",0,\"lean_workbook_13374\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000797.lean\",\"e773cc7f211d0da627b05969dffe937a291c213ecdc20d7d8b61ca7eba16f37b\",0,\"lean_workbook_13380\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000798.lean\",\"0fe0fae5210482f410c3d82735ad6e58c994091f0fa38e83fc18fc518ed6a06a\",0,\"lean_workbook_13382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177681,
+      "path": "data/train/p5f/goedel_workbook-000031-0000-e4b271a1d1932547.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e4b271a1d1932547a35c8ff53fa177317931dec8bf03d59ed1df8dc48fd21b10"
+    },
+    {
+      "bytes": 55259,
+      "path": "data/dev/p5f/goedel_workbook-000031-0000-806eff267335e593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "806eff267335e5935a9f842724cc702ad358efec22e4b79cfd1467dee09040b3"
+    },
+    {
+      "bytes": 49742,
+      "path": "data/internal_test/p5f/goedel_workbook-000031-0000-e2dfcfb63f8b120f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e2dfcfb63f8b120f7708bb18730c640ff3c3749fa7115f1be0c537938f9a3bf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000032.json b/manifests/batches/goedel_workbook/000032.json
index ae032e3f3ed2e31baad565ad35e5ff4f6817249e..273c94471a7017dd2bb79811906e7e477bdd7b38 100644
--- a/manifests/batches/goedel_workbook/000032.json
+++ b/manifests/batches/goedel_workbook/000032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000032",
   "batch_fingerprint": "588fccacbd54ff2b4ef8d4e9343e5cc14752a01587cec0d96af708c52914fbc1",
   "evidence": {
@@ -236,22 +235,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000032-0000-d4ad1f470da7d6fb.parquet",
-      "sha256": "d4ad1f470da7d6fbdb669b8458030cd2b14068b4ad85a4926ad7c2c8c37498bb",
-      "bytes": 87777,
-      "rows": 24,
-      "revision": "53bf23756ef9feb007700f7513b765664bef797f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000032-0000-a7bbb6c5a9a8b871.parquet",
-      "sha256": "a7bbb6c5a9a8b87112f6c2a314530c6a4f72221bc83ec537cf1f338542756c3e",
-      "bytes": 38702,
-      "rows": 5,
-      "revision": "53bf23756ef9feb007700f7513b765664bef797f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13395",
     "goedel_workbook:lean_workbook_13396",
@@ -281,5 +265,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000820.lean\",\"d80bf2b86838a133a1b8ab95d19295d658f9113867ef9bfae7134dee830716fd\",0,\"lean_workbook_1346\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000821.lean\",\"fee6fba1af8b310752197e584b5d42cb0a42c323910f8253fad5eee31ab26797\",0,\"lean_workbook_13461\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000822.lean\",\"0e32a2bd611c97b254aed190164642bf0ad7b566c6ae8a3b9935eb4007960500\",0,\"lean_workbook_13462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87777,
+      "path": "data/train/p9d/goedel_workbook-000032-0000-d4ad1f470da7d6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d4ad1f470da7d6fbdb669b8458030cd2b14068b4ad85a4926ad7c2c8c37498bb"
+    },
+    {
+      "bytes": 38702,
+      "path": "data/dev/p9d/goedel_workbook-000032-0000-a7bbb6c5a9a8b871.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a7bbb6c5a9a8b87112f6c2a314530c6a4f72221bc83ec537cf1f338542756c3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000033.json b/manifests/batches/goedel_workbook/000033.json
index 3a6dd5d178c0a6d428767daae3e85719fcdeb47f..5cb80f807499afe98176ecc3575f5f33631d64e7 100644
--- a/manifests/batches/goedel_workbook/000033.json
+++ b/manifests/batches/goedel_workbook/000033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000033",
   "batch_fingerprint": "7278017cb6c08dd8b1e0db991c9b486af4ae9f06443a64bde971dffc2ea6d906",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000033-0000-fe45aa1ff93afbb5.parquet",
-      "sha256": "fe45aa1ff93afbb5f997913af542de33ebb8ff8172071da9c7e60378be68e318",
-      "bytes": 255304,
-      "rows": 42,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000033-0000-02368b36710b6886.parquet",
-      "sha256": "02368b36710b6886f79cc852578c05eefb9e1012617222f382f6c6c8dfe7664e",
-      "bytes": 124318,
-      "rows": 23,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13471",
     "goedel_workbook:lean_workbook_13474",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000847.lean\",\"c53f0a1eac923d79926497f470baee7b00131ef047a12059b8e7050424ff54ef\",0,\"lean_workbook_13563\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000848.lean\",\"382cf55f3c4b3bdc938cee562e33bb465833941de145ef874c840c302644ee66\",0,\"lean_workbook_13579\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000849.lean\",\"d79ac15df267325011264e114b2d17a1f02477e55bf0dde3e8827c3b85580c93\",0,\"lean_workbook_13587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255304,
+      "path": "data/train/p21/goedel_workbook-000033-0000-fe45aa1ff93afbb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "fe45aa1ff93afbb5f997913af542de33ebb8ff8172071da9c7e60378be68e318"
+    },
+    {
+      "bytes": 124318,
+      "path": "data/internal_test/p21/goedel_workbook-000033-0000-02368b36710b6886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "02368b36710b6886f79cc852578c05eefb9e1012617222f382f6c6c8dfe7664e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000034.json b/manifests/batches/goedel_workbook/000034.json
index 141145ade601291f9ab5a5b28057ec79c612bc72..44481d18a9e64e017200a87a658ea2c02c61ba02 100644
--- a/manifests/batches/goedel_workbook/000034.json
+++ b/manifests/batches/goedel_workbook/000034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000034",
   "batch_fingerprint": "bd726a18037f77b1ff58b1deb884298585dfd9ca8ff68f9200b6375245e5e069",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000034-0000-72b53cea08b349b4.parquet",
-      "sha256": "72b53cea08b349b453d106643ff94ee3266a90504cd042e64d3cd1684707c60f",
-      "bytes": 163060,
-      "rows": 31,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000034-0000-0461450f1d60440f.parquet",
-      "sha256": "0461450f1d60440ff001b31015ca57a3095682677f970b632f60e62f2584f06e",
-      "bytes": 36662,
-      "rows": 2,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000034-0000-e4a099be845db31c.parquet",
-      "sha256": "e4a099be845db31cd4d726eb134771e645c38b78f2c54799c6824938c77c6ec4",
-      "bytes": 42104,
-      "rows": 5,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13596",
     "goedel_workbook:lean_workbook_13598",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000871.lean\",\"957958c3638427e678205733547981d71896358e266be1af4b4b2d843afd3f0f\",0,\"lean_workbook_13697\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000873.lean\",\"ce12010ce00c7330808179ef5176cdcca868fe9a079afcf7c7224238298be4db\",0,\"lean_workbook_13705\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000874.lean\",\"a189c76b67e137a77b59b59ecc1dc8534eca075ba8963a9cf19b509a68fdd658\",0,\"lean_workbook_13713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163060,
+      "path": "data/train/p57/goedel_workbook-000034-0000-72b53cea08b349b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "72b53cea08b349b453d106643ff94ee3266a90504cd042e64d3cd1684707c60f"
+    },
+    {
+      "bytes": 36662,
+      "path": "data/dev/p57/goedel_workbook-000034-0000-0461450f1d60440f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0461450f1d60440ff001b31015ca57a3095682677f970b632f60e62f2584f06e"
+    },
+    {
+      "bytes": 42104,
+      "path": "data/internal_test/p57/goedel_workbook-000034-0000-e4a099be845db31c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e4a099be845db31cd4d726eb134771e645c38b78f2c54799c6824938c77c6ec4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000035.json b/manifests/batches/goedel_workbook/000035.json
index b53ae47856f59f0295852bc2980ad3a61d7d74a5..206a11737dff080775d0033a1b039fb0af829192 100644
--- a/manifests/batches/goedel_workbook/000035.json
+++ b/manifests/batches/goedel_workbook/000035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000035",
   "batch_fingerprint": "7453b50f8d70b28d442018f1cb595f67ec113c939954e46eb1b8939f1c0ce455",
   "evidence": {
@@ -164,22 +163,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000035-0000-a74bc3e64731256a.parquet",
-      "sha256": "a74bc3e64731256a15e612080407e8d2e98f686b980ff997579eea6500c3f347",
-      "bytes": 227652,
-      "rows": 47,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000035-0000-b4accda2dd213c3c.parquet",
-      "sha256": "b4accda2dd213c3cfda6b924be5a2c8468628dd22f10769889aaf8c55a1afcff",
-      "bytes": 38135,
-      "rows": 3,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13715",
     "goedel_workbook:lean_workbook_13717",
@@ -217,5 +201,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000894.lean\",\"8745132b0715fbd32926457d1fb6b1defbb8ff887264a17a693c8f1db75a62f3\",0,\"lean_workbook_13767\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000895.lean\",\"5671098de87ce7d14795a742caf440195a68d8e5981571a52d081c941cd40d21\",0,\"lean_workbook_1377\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000897.lean\",\"d888e78daa53a3ff9f1b2a4f0bf5ade81fdcc41d84dd3134782a0af81385262e\",0,\"lean_workbook_13782\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227652,
+      "path": "data/train/p86/goedel_workbook-000035-0000-a74bc3e64731256a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "a74bc3e64731256a15e612080407e8d2e98f686b980ff997579eea6500c3f347"
+    },
+    {
+      "bytes": 38135,
+      "path": "data/internal_test/p86/goedel_workbook-000035-0000-b4accda2dd213c3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b4accda2dd213c3cfda6b924be5a2c8468628dd22f10769889aaf8c55a1afcff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000036.json b/manifests/batches/goedel_workbook/000036.json
index edd7c8c9c26d8a370c72b1dd41b07515b465858e..4ee7037f8fe5be625acddcc8c0b1088a76fd62ef 100644
--- a/manifests/batches/goedel_workbook/000036.json
+++ b/manifests/batches/goedel_workbook/000036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000036",
   "batch_fingerprint": "85b5f48d1ce4d934f7d3040bd7872236e9721c5a6ce5e37ff13b23e84f051c4b",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000036-0000-7796f8b4835ab1a5.parquet",
-      "sha256": "7796f8b4835ab1a58dd30c9f50dd8f598c8f30f06f5f8d562148e98075e170a5",
-      "bytes": 89804,
-      "rows": 25,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000036-0000-49b7e7d89c4edae1.parquet",
-      "sha256": "49b7e7d89c4edae1702630028edebef8aca638852c4f286173312d17d10b4d6d",
-      "bytes": 52691,
-      "rows": 6,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1379",
     "goedel_workbook:lean_workbook_138",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000918.lean\",\"e5bb458f165cefc79c9f56032ce0adadff8eac630159e83efc7cb08558493290\",0,\"lean_workbook_13910\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000920.lean\",\"abe536963c59c3622217233d2402c9406ae2efc69930bf6bc540fe8b1d6d98cc\",0,\"lean_workbook_13914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000921.lean\",\"825d6afe5e8482ef8ba2d229b635422c0cfa7360960ef9ab2660299483bd0f59\",0,\"lean_workbook_13921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89804,
+      "path": "data/train/p8c/goedel_workbook-000036-0000-7796f8b4835ab1a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7796f8b4835ab1a58dd30c9f50dd8f598c8f30f06f5f8d562148e98075e170a5"
+    },
+    {
+      "bytes": 52691,
+      "path": "data/internal_test/p8c/goedel_workbook-000036-0000-49b7e7d89c4edae1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49b7e7d89c4edae1702630028edebef8aca638852c4f286173312d17d10b4d6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000037.json b/manifests/batches/goedel_workbook/000037.json
index 30fbb82b0cc021bd66a605e78dc68fd7cc5acce4..feedd41f92d616ccbad78a9210ece09bd06d2ac5 100644
--- a/manifests/batches/goedel_workbook/000037.json
+++ b/manifests/batches/goedel_workbook/000037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000037",
   "batch_fingerprint": "1359e1a3a18fd5d1e5e95c7080be2f152c99dde265ac38bd5dd51c87903b138c",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000037-0000-d800677ee147a8cb.parquet",
-      "sha256": "d800677ee147a8cba7a61038135709fafbead8671a35990a51aafbe98c015a87",
-      "bytes": 246917,
-      "rows": 45,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000037-0000-4a3ea038535d3f92.parquet",
-      "sha256": "4a3ea038535d3f9220e6d8908b10469612cf95bd54c04af8f713e8d4cbaa9b0c",
-      "bytes": 80917,
-      "rows": 15,
-      "revision": "5929bb5b2b3d31eb73353f9618ed58f64651e5b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_13933",
     "goedel_workbook:lean_workbook_13943",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000947.lean\",\"920e71d724ccc4a8a088c1f17c5ede9541eb1345b1ca48db74bdb1eae302133d\",0,\"lean_workbook_14013\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000948.lean\",\"226163355f56906eb69751e937e44d6cadf769529754a78368cb5baba0221229\",0,\"lean_workbook_14014\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000949.lean\",\"753151afefac76fba06e80f19e1f2eaf24e941c204802df0db7b76e85f02846c\",0,\"lean_workbook_14016\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246917,
+      "path": "data/train/pe7/goedel_workbook-000037-0000-d800677ee147a8cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "d800677ee147a8cba7a61038135709fafbead8671a35990a51aafbe98c015a87"
+    },
+    {
+      "bytes": 80917,
+      "path": "data/internal_test/pe7/goedel_workbook-000037-0000-4a3ea038535d3f92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4a3ea038535d3f9220e6d8908b10469612cf95bd54c04af8f713e8d4cbaa9b0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000038.json b/manifests/batches/goedel_workbook/000038.json
index f8e9e5cf7b362a4f6b89b50313b939ad352e0d93..d6b2e4269836600c716fc0d9e8cbaa1af81e255b 100644
--- a/manifests/batches/goedel_workbook/000038.json
+++ b/manifests/batches/goedel_workbook/000038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000038",
   "batch_fingerprint": "8a1032600de982f3ce940da90e9b9f2f02efb8b81a838a9b01bda232566a5677",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000038-0000-8b88deee0ac7f657.parquet",
-      "sha256": "8b88deee0ac7f657862d4b55b2e13920c7e3287175dc583d9a92f483dadf48ad",
-      "bytes": 183181,
-      "rows": 43,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000038-0000-9577ca1b6fa39a4e.parquet",
-      "sha256": "9577ca1b6fa39a4e57ec64103e87093bc06a8c47ece0abfba983a7ef5f1f8007",
-      "bytes": 43293,
-      "rows": 6,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14017",
     "goedel_workbook:lean_workbook_1403",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000967.lean\",\"bcad156d9c1eb3ae99c24343302ad179414fa65014e84bb2635f37302edf9d92\",0,\"lean_workbook_14062\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000968.lean\",\"7aa45c183fcff74d4006984a52b1757ee92374acbc972ed535fbe3171b70fe4a\",0,\"lean_workbook_14066\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000974.lean\",\"9a81ea6bec61b3b33cacf8a554b9865c1720cb6da89c703d8536ff74a0636234\",0,\"lean_workbook_141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183181,
+      "path": "data/train/pa6/goedel_workbook-000038-0000-8b88deee0ac7f657.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "8b88deee0ac7f657862d4b55b2e13920c7e3287175dc583d9a92f483dadf48ad"
+    },
+    {
+      "bytes": 43293,
+      "path": "data/internal_test/pa6/goedel_workbook-000038-0000-9577ca1b6fa39a4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9577ca1b6fa39a4e57ec64103e87093bc06a8c47ece0abfba983a7ef5f1f8007"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000039.json b/manifests/batches/goedel_workbook/000039.json
index 537683894527bb23e1c1e67c9b9f08ed2e2a2ac7..04bbd2aa4026d96d806b34a30dea6009afd74b8c 100644
--- a/manifests/batches/goedel_workbook/000039.json
+++ b/manifests/batches/goedel_workbook/000039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000039",
   "batch_fingerprint": "9819aee4f86ef79f148d17416a1f09450982e00005354d7069893d5572ddf762",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000039-0000-66837cbb8bbc7cee.parquet",
-      "sha256": "66837cbb8bbc7cee230c06504aeaf6f8ce5b1b39fc3908867ab46fdd98ecc46d",
-      "bytes": 104061,
-      "rows": 26,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000039-0000-a3b687cc79bb0b96.parquet",
-      "sha256": "a3b687cc79bb0b96e15672d2d1c6babada32ba63419cfbee97c23142fe08a4ae",
-      "bytes": 30774,
-      "rows": 1,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000039-0000-164e9dd492ab937c.parquet",
-      "sha256": "164e9dd492ab937c244ac8a2e19920c38897282533cb24e377e37bb1c1d6066f",
-      "bytes": 41864,
-      "rows": 4,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14104",
     "goedel_workbook:lean_workbook_14107",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000996.lean\",\"517a4957cbe99eaec061c6ac0c495327ced03c740b46b166c5aeeb5476631eae\",0,\"lean_workbook_14157\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000997.lean\",\"23397795ed92e36677980fd6832cf0fdd9ad21f6772fa98eee30cfdeae9d029f\",0,\"lean_workbook_14159\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_000998.lean\",\"95ae04ed58ac67ce44ca5a45fb8ef597a846cbafd814e421a9786e74b844eb39\",0,\"lean_workbook_14169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104061,
+      "path": "data/train/pd1/goedel_workbook-000039-0000-66837cbb8bbc7cee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "66837cbb8bbc7cee230c06504aeaf6f8ce5b1b39fc3908867ab46fdd98ecc46d"
+    },
+    {
+      "bytes": 30774,
+      "path": "data/dev/pd1/goedel_workbook-000039-0000-a3b687cc79bb0b96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a3b687cc79bb0b96e15672d2d1c6babada32ba63419cfbee97c23142fe08a4ae"
+    },
+    {
+      "bytes": 41864,
+      "path": "data/internal_test/pd1/goedel_workbook-000039-0000-164e9dd492ab937c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "164e9dd492ab937c244ac8a2e19920c38897282533cb24e377e37bb1c1d6066f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000040.json b/manifests/batches/goedel_workbook/000040.json
index 4a6d28c5989641901a1da6f9263cc4991c768540..7c2ffc356ae324fd90a8aa46f64c43643ea24d4e 100644
--- a/manifests/batches/goedel_workbook/000040.json
+++ b/manifests/batches/goedel_workbook/000040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000040",
   "batch_fingerprint": "82337798fa390c52d8857eac9758667358c1cad65c5ed55f49d523ce2d77c77a",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000040-0000-413babbc644772de.parquet",
-      "sha256": "413babbc644772de4d53e1b6a04a657e6295dfbcc7e8b34641a7f649ca59c683",
-      "bytes": 188928,
-      "rows": 39,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000040-0000-85e26d50bb293ddf.parquet",
-      "sha256": "85e26d50bb293ddfd9ba2d83644736e816f61352666423ecb2388e90f71fe8b5",
-      "bytes": 62813,
-      "rows": 9,
-      "revision": "ec9b9b1da3cc915dbc5a3212b8c7a3b6129b19d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14174",
     "goedel_workbook:lean_workbook_14178",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001022.lean\",\"e160a22cd294f5e03d8cd25b3b3aa851c88d73425f78495b0537dcc489035491\",0,\"lean_workbook_14261\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001023.lean\",\"41564ae619f394890e56fb448cd5664e1c355b7ff9b6503e2b848cb28f6432cd\",0,\"lean_workbook_14262\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001024.lean\",\"84aa985aa9cc94364008e1035a816872b1be5ccdb456a9d32050e8c67a2f1998\",0,\"lean_workbook_14268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188928,
+      "path": "data/train/pf4/goedel_workbook-000040-0000-413babbc644772de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "413babbc644772de4d53e1b6a04a657e6295dfbcc7e8b34641a7f649ca59c683"
+    },
+    {
+      "bytes": 62813,
+      "path": "data/internal_test/pf4/goedel_workbook-000040-0000-85e26d50bb293ddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "85e26d50bb293ddfd9ba2d83644736e816f61352666423ecb2388e90f71fe8b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000041.json b/manifests/batches/goedel_workbook/000041.json
index 65ee7877d8c8dd7f66a8b9b71ecfaa0f1ed5096f..c2d4164a28e987be7fa7211e612d84639865bd73 100644
--- a/manifests/batches/goedel_workbook/000041.json
+++ b/manifests/batches/goedel_workbook/000041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000041",
   "batch_fingerprint": "19acc245638a63df04e6284e7f091d61cfbdb1517828aadcfe58045013c89440",
   "evidence": {
@@ -270,22 +269,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000041-0000-f9cb30196cbd46f0.parquet",
-      "sha256": "f9cb30196cbd46f08d6c7d60e787b71b14ce73d14e99f929cc3e61409959d14c",
-      "bytes": 120543,
-      "rows": 29,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000041-0000-ed38c5c76fb49ef3.parquet",
-      "sha256": "ed38c5c76fb49ef322e9e7391e5fdce900c0ae69bd646892069a0de28ac9f503",
-      "bytes": 44708,
-      "rows": 4,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14288",
     "goedel_workbook:lean_workbook_1429",
@@ -313,5 +297,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001044.lean\",\"0580a9881926225d74b4ad0dafad69dc539950c6a195345fd1f87e5c01401b88\",0,\"lean_workbook_14352\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001045.lean\",\"03903e2d6f11a735cb1cafde46f490a30ecfb031dd392cba8bc760fa180c2e93\",0,\"lean_workbook_14355\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001049.lean\",\"9334beb6675b3f7da3ac7783e6bfdf64dd346aaeae3f19a8980a49e5f975aab5\",0,\"lean_workbook_14381\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120543,
+      "path": "data/train/pdc/goedel_workbook-000041-0000-f9cb30196cbd46f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f9cb30196cbd46f08d6c7d60e787b71b14ce73d14e99f929cc3e61409959d14c"
+    },
+    {
+      "bytes": 44708,
+      "path": "data/dev/pdc/goedel_workbook-000041-0000-ed38c5c76fb49ef3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ed38c5c76fb49ef322e9e7391e5fdce900c0ae69bd646892069a0de28ac9f503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000042.json b/manifests/batches/goedel_workbook/000042.json
index d09caa034396e535ef63540a4ab57ba9194dbff8..627a659a24a5807c0c8136b2fc8a469632734b1f 100644
--- a/manifests/batches/goedel_workbook/000042.json
+++ b/manifests/batches/goedel_workbook/000042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000042",
   "batch_fingerprint": "4d0c25aaed08fb09355e3f8b14ee0b766e7c2b8f0e4b3375735a2ef6ae677b91",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000042-0000-e55875976bf3fdb7.parquet",
-      "sha256": "e55875976bf3fdb7132d7bb352a756afedeb2d41d13fb2bf810fa47a79e02069",
-      "bytes": 109818,
-      "rows": 27,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000042-0000-9dc881cc2b097a3e.parquet",
-      "sha256": "9dc881cc2b097a3ebabd08aeb214728035bdc06d4f0f9bdb83bdc5c68ef9b464",
-      "bytes": 26282,
-      "rows": 1,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000042-0000-928333b4e4579722.parquet",
-      "sha256": "928333b4e4579722d02a0653feebfda4acb67dff94bdb66e5de7e3469f7a56da",
-      "bytes": 31691,
-      "rows": 2,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14385",
     "goedel_workbook:lean_workbook_14388",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001069.lean\",\"bd4fb26531dae6120f6e8aa31978e8ec299253d64a064420020a8e7729fe2464\",0,\"lean_workbook_14497\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001070.lean\",\"61cadcf062a280a2d8a012344e03b07a51125366b03db9935305abe7be9e5c44\",0,\"lean_workbook_14499\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001074.lean\",\"2e8955e7237b5897a27cf5a040512eac1710e35aee0bd52d381cd1e5161792e4\",0,\"lean_workbook_14530\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109818,
+      "path": "data/train/pe5/goedel_workbook-000042-0000-e55875976bf3fdb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e55875976bf3fdb7132d7bb352a756afedeb2d41d13fb2bf810fa47a79e02069"
+    },
+    {
+      "bytes": 26282,
+      "path": "data/dev/pe5/goedel_workbook-000042-0000-9dc881cc2b097a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9dc881cc2b097a3ebabd08aeb214728035bdc06d4f0f9bdb83bdc5c68ef9b464"
+    },
+    {
+      "bytes": 31691,
+      "path": "data/internal_test/pe5/goedel_workbook-000042-0000-928333b4e4579722.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "928333b4e4579722d02a0653feebfda4acb67dff94bdb66e5de7e3469f7a56da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000043.json b/manifests/batches/goedel_workbook/000043.json
index c8230ae6c7f27e9d75ffb2279d8c42d834928200..22c66a733a3beb1d1a84414797f517c2697d6caf 100644
--- a/manifests/batches/goedel_workbook/000043.json
+++ b/manifests/batches/goedel_workbook/000043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000043",
   "batch_fingerprint": "9b2fc332dc0a918eafba8b12c2ddcddb591a6ceb26828e69730875ab3b5e73a6",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000043-0000-f5a163456d8a884b.parquet",
-      "sha256": "f5a163456d8a884b201059367f246f1d986f817f799de1117380dc3bdc15fd6e",
-      "bytes": 184129,
-      "rows": 37,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000043-0000-cf4b6038f6754a11.parquet",
-      "sha256": "cf4b6038f6754a11c41c385f683033e6ce724c3fa04ed4f8eda7f88c01ba164a",
-      "bytes": 39316,
-      "rows": 6,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1454",
     "goedel_workbook:lean_workbook_14548",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001096.lean\",\"5372b0d36fefde36788845bb3b622bf72d41183690c019f341b626b7b68d217e\",0,\"lean_workbook_146\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001098.lean\",\"aae0d131cef7b60b961055b19fb0284957d6980808500b23e74d314d8ec76086\",0,\"lean_workbook_14600\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001099.lean\",\"d8cf4a2b6a5d37bf592db0e1049887782351d4d3159b06cca6d5aef15c0c1605\",0,\"lean_workbook_14601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184129,
+      "path": "data/train/pa6/goedel_workbook-000043-0000-f5a163456d8a884b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f5a163456d8a884b201059367f246f1d986f817f799de1117380dc3bdc15fd6e"
+    },
+    {
+      "bytes": 39316,
+      "path": "data/internal_test/pa6/goedel_workbook-000043-0000-cf4b6038f6754a11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cf4b6038f6754a11c41c385f683033e6ce724c3fa04ed4f8eda7f88c01ba164a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000044.json b/manifests/batches/goedel_workbook/000044.json
index 0323117b7786b3575f187127d6b106cd52abdff7..47c70f878d3c9a2c174397c61c7562382bedba8b 100644
--- a/manifests/batches/goedel_workbook/000044.json
+++ b/manifests/batches/goedel_workbook/000044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000044",
   "batch_fingerprint": "447eb406c44e1c5c3fa534e8128a9d3bd1bb5f554f31b8ed63426e1130d8e573",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000044-0000-8d170b680fc73a05.parquet",
-      "sha256": "8d170b680fc73a05c93f58b71e9d59d0ce2476b114ac98ddff75b0c41b49c59d",
-      "bytes": 124402,
-      "rows": 31,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000044-0000-f8ab66142a06fd9f.parquet",
-      "sha256": "f8ab66142a06fd9f6e8a8e74a5bb8a611e18aa695ed6410acf96aed3c7f834f1",
-      "bytes": 45705,
-      "rows": 3,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000044-0000-3c882aaac446b81f.parquet",
-      "sha256": "3c882aaac446b81f889eed93893bbef40ee0769dc2afdb2d562fa93283d2c893",
-      "bytes": 39085,
-      "rows": 3,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14606",
     "goedel_workbook:lean_workbook_14608",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001118.lean\",\"205cc805036be82bfb45bed5daedfec19df3ec71239d18e72f9f53ce580658fe\",0,\"lean_workbook_14666\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001122.lean\",\"651dec4267a6b511a860a55d0b50ded88d6507cf69c7ea09e8e58b85c3b34439\",0,\"lean_workbook_14685\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001123.lean\",\"05aaacd34c1dd6f6cb1855ef7dafbd5f1a40483799453cc7fbfbe4a69af6b729\",0,\"lean_workbook_14688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124402,
+      "path": "data/train/p44/goedel_workbook-000044-0000-8d170b680fc73a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8d170b680fc73a05c93f58b71e9d59d0ce2476b114ac98ddff75b0c41b49c59d"
+    },
+    {
+      "bytes": 45705,
+      "path": "data/dev/p44/goedel_workbook-000044-0000-f8ab66142a06fd9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f8ab66142a06fd9f6e8a8e74a5bb8a611e18aa695ed6410acf96aed3c7f834f1"
+    },
+    {
+      "bytes": 39085,
+      "path": "data/internal_test/p44/goedel_workbook-000044-0000-3c882aaac446b81f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3c882aaac446b81f889eed93893bbef40ee0769dc2afdb2d562fa93283d2c893"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000045.json b/manifests/batches/goedel_workbook/000045.json
index d88857ffdd0c6b7fb21bcdffaf3e74b8432c34df..cc12987aa09fd2d65d3ab806615fa6de1b5399b6 100644
--- a/manifests/batches/goedel_workbook/000045.json
+++ b/manifests/batches/goedel_workbook/000045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000045",
   "batch_fingerprint": "ad91d3860a1f15b05fc0f91fbfd5705c0a8c3b3448d9b6f2fb209bddd9df5390",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000045-0000-b05a36aea9c8a2c6.parquet",
-      "sha256": "b05a36aea9c8a2c6b810c9a520dcde7af0baf41c43c05be28c8c94bcba37fb75",
-      "bytes": 154046,
-      "rows": 42,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000045-0000-fe34587ed76d7997.parquet",
-      "sha256": "fe34587ed76d7997e35734490f4a04aebe126fd98c52333040887f7930a6c0b2",
-      "bytes": 24680,
-      "rows": 1,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000045-0000-2c7ccd34af8f84e7.parquet",
-      "sha256": "2c7ccd34af8f84e789aff01784f1e7c726f8971313f3d03654d035625621a389",
-      "bytes": 70166,
-      "rows": 10,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_147",
     "goedel_workbook:lean_workbook_14708",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001145.lean\",\"904f60ea29e34701f3e4fdf1401c7382261d97033fed1b78c009ac95344a47bd\",0,\"lean_workbook_1481\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001146.lean\",\"c0edc3b8e2409aca3924784f1b9e850f0abbd9bbacc0be67ece45c00ef466b29\",0,\"lean_workbook_14810\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001148.lean\",\"fb2ac945be3f05f9a6029b39358a2564ffc9d47afeef511a8dffcaec30599b28\",0,\"lean_workbook_14812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154046,
+      "path": "data/train/p02/goedel_workbook-000045-0000-b05a36aea9c8a2c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b05a36aea9c8a2c6b810c9a520dcde7af0baf41c43c05be28c8c94bcba37fb75"
+    },
+    {
+      "bytes": 24680,
+      "path": "data/dev/p02/goedel_workbook-000045-0000-fe34587ed76d7997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fe34587ed76d7997e35734490f4a04aebe126fd98c52333040887f7930a6c0b2"
+    },
+    {
+      "bytes": 70166,
+      "path": "data/internal_test/p02/goedel_workbook-000045-0000-2c7ccd34af8f84e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2c7ccd34af8f84e789aff01784f1e7c726f8971313f3d03654d035625621a389"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000046.json b/manifests/batches/goedel_workbook/000046.json
index 067ba3eb276c4df611dd1329b932407e18ad0e51..0f12c44b17e07d764466c729fabccfbd761cedbc 100644
--- a/manifests/batches/goedel_workbook/000046.json
+++ b/manifests/batches/goedel_workbook/000046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000046",
   "batch_fingerprint": "7d2c3593519a32aa256dad847ea43e4d2ca3b6b418f4188fa2a80054dac7fb86",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000046-0000-4ad22f43d81ae753.parquet",
-      "sha256": "4ad22f43d81ae753f606199afa2e0bcfb283642961cee483ce252af4e60a1cfc",
-      "bytes": 208031,
-      "rows": 39,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000046-0000-30f0718c480b3f2c.parquet",
-      "sha256": "30f0718c480b3f2c8eb4b88a5b11917581bbf628117521edfa1586d6f468f647",
-      "bytes": 34701,
-      "rows": 4,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000046-0000-42fb94251cafc615.parquet",
-      "sha256": "42fb94251cafc61566ba721a5cb03ca0335e5b894a087b3a8fa2c085a7f3da6f",
-      "bytes": 30642,
-      "rows": 1,
-      "revision": "341a163379cb5ec71508303ecbeb2439774d8da9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1482",
     "goedel_workbook:lean_workbook_14823",
@@ -241,5 +218,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001171.lean\",\"fb0aa2da73ba410b2013a5d38e9f66159d082cf7c586343c61d11b06933f6ebd\",0,\"lean_workbook_14915\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001173.lean\",\"6e664a2d3e826fb7066100528a69ba2255493453f4ff367319440f8988618a8f\",0,\"lean_workbook_14918\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001174.lean\",\"a9671431f4f4322deb71aa5c70fd3aaa5097c36b69ecdc4d70faf91bfab8764a\",0,\"lean_workbook_14921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208031,
+      "path": "data/train/pa2/goedel_workbook-000046-0000-4ad22f43d81ae753.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "4ad22f43d81ae753f606199afa2e0bcfb283642961cee483ce252af4e60a1cfc"
+    },
+    {
+      "bytes": 34701,
+      "path": "data/dev/pa2/goedel_workbook-000046-0000-30f0718c480b3f2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "30f0718c480b3f2c8eb4b88a5b11917581bbf628117521edfa1586d6f468f647"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000047.json b/manifests/batches/goedel_workbook/000047.json
index 2ce21bb0acc87e83ba041c0eef7abce6a2d611ed..79ad8bacaf2e2480465aa7d418689fc5b8cac68f 100644
--- a/manifests/batches/goedel_workbook/000047.json
+++ b/manifests/batches/goedel_workbook/000047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000047",
   "batch_fingerprint": "ad5c70aa58f6d15d97687744a4d61a81066deea179245692bf059abe4977daee",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000047-0000-ebed63c153f21652.parquet",
-      "sha256": "ebed63c153f21652857a408486a3da2c4ee47b1263fc3c86f99ec1dce1c18c77",
-      "bytes": 175023,
-      "rows": 36,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_14922",
     "goedel_workbook:lean_workbook_14925",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001194.lean\",\"e208b15bca688ee952061474ca6a66256b7c2135db5df692abd72d3e46f34a12\",0,\"lean_workbook_14999\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001197.lean\",\"1da49ac7d6ba311b2902471a6f83e7ba16b2ed65534e4eaa07e236c1f54016e5\",0,\"lean_workbook_1503\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001198.lean\",\"3f293d4ec5baa9a5881606340faa51429e0dc44badd9b8a5178677e3680ac8ea\",0,\"lean_workbook_15031\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175023,
+      "path": "data/train/pb9/goedel_workbook-000047-0000-ebed63c153f21652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "ebed63c153f21652857a408486a3da2c4ee47b1263fc3c86f99ec1dce1c18c77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000048.json b/manifests/batches/goedel_workbook/000048.json
index b586b12d4c4eb2428a4ecc1f6e96e7ae1fd36bfe..f0813595accae5d5fe2eda7ae8ad5f2b65ff8ffa 100644
--- a/manifests/batches/goedel_workbook/000048.json
+++ b/manifests/batches/goedel_workbook/000048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000048",
   "batch_fingerprint": "738734fdcdb6be3495681a414282a350c46b4201ecf423d955671499ae738397",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000048-0000-0b1d36cda4616112.parquet",
-      "sha256": "0b1d36cda4616112dfb5877110fc2893eb580e68b092a0dc269ed034b7cf5f95",
-      "bytes": 150272,
-      "rows": 33,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000048-0000-4adb53850628aa04.parquet",
-      "sha256": "4adb53850628aa047c7efd9f62d78c6996187b9781e0646adff03eb733ced973",
-      "bytes": 26367,
-      "rows": 1,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000048-0000-075205e013135489.parquet",
-      "sha256": "075205e013135489123f1d76e00dca95eb2340c99bbb3a7e1a92a008ea28c9d8",
-      "bytes": 39504,
-      "rows": 4,
-      "revision": "084013a9447a73ba0146fb0a544b2f1a324c09a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15033",
     "goedel_workbook:lean_workbook_15043",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001220.lean\",\"bf150d060c261b0592d82cd8f0950b4b9e9c4ac21268f40f281292c7ac42733b\",0,\"lean_workbook_15140\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001222.lean\",\"b3aa37863598355df31a9954f04f3a58e1825d9722b2d1e3e52f69fa6330b128\",0,\"lean_workbook_15143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001224.lean\",\"793f86c57c8d9881c6d59ff83a0b0073be82829e9ad1ea636bbfe9823cfa4235\",0,\"lean_workbook_15145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150272,
+      "path": "data/train/p8a/goedel_workbook-000048-0000-0b1d36cda4616112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0b1d36cda4616112dfb5877110fc2893eb580e68b092a0dc269ed034b7cf5f95"
+    },
+    {
+      "bytes": 26367,
+      "path": "data/dev/p8a/goedel_workbook-000048-0000-4adb53850628aa04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4adb53850628aa047c7efd9f62d78c6996187b9781e0646adff03eb733ced973"
+    },
+    {
+      "bytes": 39504,
+      "path": "data/internal_test/p8a/goedel_workbook-000048-0000-075205e013135489.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "075205e013135489123f1d76e00dca95eb2340c99bbb3a7e1a92a008ea28c9d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000049.json b/manifests/batches/goedel_workbook/000049.json
index 9dfa8c52b56f3d761a264ec7c05da5e9affcae02..1710bc523970805dc58f5cbc458ec2b074cddd89 100644
--- a/manifests/batches/goedel_workbook/000049.json
+++ b/manifests/batches/goedel_workbook/000049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000049",
   "batch_fingerprint": "74e87aa1a6642b192053ecceffbfb7026dda5e1456fa2dd459b293d19c787c19",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000049-0000-da547bf0f03b0e87.parquet",
-      "sha256": "da547bf0f03b0e8799c4d02d2c81bc795b9764c05618c22b7f7bf2b61ae11589",
-      "bytes": 83040,
-      "rows": 32,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000049-0000-4e873e4b50ddb67e.parquet",
-      "sha256": "4e873e4b50ddb67e870ebadbc50e635e1a17d1c6deb66bd528992f05a74958c8",
-      "bytes": 80660,
-      "rows": 10,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000049-0000-2c218d0518d937b3.parquet",
-      "sha256": "2c218d0518d937b34403681c115c3fdb1c076cb5ee19a3d9c58bd65046da9b99",
-      "bytes": 56226,
-      "rows": 8,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15146",
     "goedel_workbook:lean_workbook_15149",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001242.lean\",\"774ff5bbce6382e4ef49bf432d55cf709e66304e8cd7617f0d27fbb7233637f7\",0,\"lean_workbook_15204\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001245.lean\",\"df7ebcfac9dfe004fbe68fb950b52d5a20464cff47c5a6b7ac7ffdde3444ffd1\",0,\"lean_workbook_15217\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001247.lean\",\"b1a40ef5d38db75d14550cfc8c83a8fe69a9b1c56b14cb536998b1bafebf6bb9\",0,\"lean_workbook_15238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83040,
+      "path": "data/train/p96/goedel_workbook-000049-0000-da547bf0f03b0e87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "da547bf0f03b0e8799c4d02d2c81bc795b9764c05618c22b7f7bf2b61ae11589"
+    },
+    {
+      "bytes": 80660,
+      "path": "data/dev/p96/goedel_workbook-000049-0000-4e873e4b50ddb67e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4e873e4b50ddb67e870ebadbc50e635e1a17d1c6deb66bd528992f05a74958c8"
+    },
+    {
+      "bytes": 56226,
+      "path": "data/internal_test/p96/goedel_workbook-000049-0000-2c218d0518d937b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2c218d0518d937b34403681c115c3fdb1c076cb5ee19a3d9c58bd65046da9b99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000050.json b/manifests/batches/goedel_workbook/000050.json
index 97070922fd337a751daab5c538c7684a250e0cae..3978cba518f1a5b9a49710cc517c8f66cdfcd8d1 100644
--- a/manifests/batches/goedel_workbook/000050.json
+++ b/manifests/batches/goedel_workbook/000050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000050",
   "batch_fingerprint": "a72902d9a0f482795b556e3ed90dce3d898f880892ef8ef9051d4b56b27cdfe6",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000050-0000-b7a82fbee48414bd.parquet",
-      "sha256": "b7a82fbee48414bdb6dd4c758c6ecee37fab693d05ec776db9bf9d55990aeab5",
-      "bytes": 114349,
-      "rows": 31,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000050-0000-02145bbc48bc293b.parquet",
-      "sha256": "02145bbc48bc293bf921d2c33799394e19346cad82224198fc4727d21dbb9fc3",
-      "bytes": 27315,
-      "rows": 1,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15244",
     "goedel_workbook:lean_workbook_15253",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001264.lean\",\"fa1f0393ca0be52a934d939393e2d889e55b843a7b103bcb201df6516e235c4a\",0,\"lean_workbook_15303\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001269.lean\",\"1c70db5f6f17b5eea2de3b4bcf9f328e19d09cbd37c2c4218efe3b1cb39ea9d0\",0,\"lean_workbook_15333\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001271.lean\",\"eaed4867e130dfaa7440a32467498243e2c8f67365a3566998b92ac1162dbc6c\",0,\"lean_workbook_15337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114349,
+      "path": "data/train/pe1/goedel_workbook-000050-0000-b7a82fbee48414bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "b7a82fbee48414bdb6dd4c758c6ecee37fab693d05ec776db9bf9d55990aeab5"
+    },
+    {
+      "bytes": 27315,
+      "path": "data/internal_test/pe1/goedel_workbook-000050-0000-02145bbc48bc293b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "02145bbc48bc293bf921d2c33799394e19346cad82224198fc4727d21dbb9fc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000051.json b/manifests/batches/goedel_workbook/000051.json
index e4f68a25cca05be0a71a431ab22b9167f7e263a5..3d2577a8e4e418c2512ecc797a38aae611b58182 100644
--- a/manifests/batches/goedel_workbook/000051.json
+++ b/manifests/batches/goedel_workbook/000051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000051",
   "batch_fingerprint": "92449057cb66235d529c7e02a627103d42180f7be4254aba2ee03b810f207528",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000051-0000-59af4ba19875b2d6.parquet",
-      "sha256": "59af4ba19875b2d698a30d612693167e9246b0ad2ed5de58563c0536d864a74b",
-      "bytes": 168692,
-      "rows": 40,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000051-0000-57c1bd1dadd3444e.parquet",
-      "sha256": "57c1bd1dadd3444e978da3c915f3d4c632c2d222c4112ab036bba5a15285c9f7",
-      "bytes": 47009,
-      "rows": 4,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15356",
     "goedel_workbook:lean_workbook_15369",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001297.lean\",\"5f8e08ef22ae1416552793f6901d420a26fc5bad5c40e8a2801c7ad04d06c6c4\",0,\"lean_workbook_15466\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001298.lean\",\"ef1bcec185624019fd694ecc5484e1518eb47174fdaba386116396252600c659\",0,\"lean_workbook_15469\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001299.lean\",\"76ff45e977e2ab84d53fec14bdbe73d1aa5dcd7b92c750d1e6ec265d4cd84257\",0,\"lean_workbook_15478\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168692,
+      "path": "data/train/p3d/goedel_workbook-000051-0000-59af4ba19875b2d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "59af4ba19875b2d698a30d612693167e9246b0ad2ed5de58563c0536d864a74b"
+    },
+    {
+      "bytes": 47009,
+      "path": "data/internal_test/p3d/goedel_workbook-000051-0000-57c1bd1dadd3444e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "57c1bd1dadd3444e978da3c915f3d4c632c2d222c4112ab036bba5a15285c9f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000052.json b/manifests/batches/goedel_workbook/000052.json
index 24f00efc69b8f70060c73d56b710a8552badb181..548f7b3b901e220b341cce3b3823bbe6bdf2a36c 100644
--- a/manifests/batches/goedel_workbook/000052.json
+++ b/manifests/batches/goedel_workbook/000052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000052",
   "batch_fingerprint": "c25d5bc396e414661050d0191ffa2520b6bf058c7d451311660d1697162c2107",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000052-0000-80ded44a6e47c587.parquet",
-      "sha256": "80ded44a6e47c587ad1916ec7d962ff4de3706d6fda754297814bf2ffe663f91",
-      "bytes": 240940,
-      "rows": 44,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000052-0000-e8d3bda530d593ac.parquet",
-      "sha256": "e8d3bda530d593acdc69330a36e4cab2aef2b7c7b7586c6a7f85af50a84e417a",
-      "bytes": 56384,
-      "rows": 10,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15480",
     "goedel_workbook:lean_workbook_15481",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001322.lean\",\"7e072636e4462edddd9121b2f152946aa1eba3f2375a1842a1de52bd052f7d3b\",0,\"lean_workbook_15540\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001323.lean\",\"368659df83f6e48b45af6a240e345eadd4a24a1a532a3391b3d8cceefcdfb7ec\",0,\"lean_workbook_15543\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001324.lean\",\"18833b485f5bcf58649b0d79840eb1f3695e16df2ae226f2301065a4e69da120\",0,\"lean_workbook_15554\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240940,
+      "path": "data/train/p97/goedel_workbook-000052-0000-80ded44a6e47c587.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "80ded44a6e47c587ad1916ec7d962ff4de3706d6fda754297814bf2ffe663f91"
+    },
+    {
+      "bytes": 56384,
+      "path": "data/internal_test/p97/goedel_workbook-000052-0000-e8d3bda530d593ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e8d3bda530d593acdc69330a36e4cab2aef2b7c7b7586c6a7f85af50a84e417a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000053.json b/manifests/batches/goedel_workbook/000053.json
index 256aed02a5e575dfe72ee4dafa793a235f6ae178..2fe7530072a17fa47ee1b434a822b712a6a9073a 100644
--- a/manifests/batches/goedel_workbook/000053.json
+++ b/manifests/batches/goedel_workbook/000053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000053",
   "batch_fingerprint": "3a822c392140fe7905237de0953a9af0f1d874cbd8d7664f26605c6661d6fce4",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000053-0000-3fa2fb8e18194d70.parquet",
-      "sha256": "3fa2fb8e18194d709fe0577c6848ae8200b02b9382409bcdf1b33b321675660e",
-      "bytes": 177500,
-      "rows": 38,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000053-0000-1bf41636a53e341b.parquet",
-      "sha256": "1bf41636a53e341b9dd668d3d9e5db7a4bf94c84fd9717a23698d11cd396a0f8",
-      "bytes": 84198,
-      "rows": 21,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000053-0000-49b7f3123efcbfa4.parquet",
-      "sha256": "49b7f3123efcbfa4237f1c857fb016e1eb30da128116791d1a4b4a83663eaf4b",
-      "bytes": 49521,
-      "rows": 4,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15558",
     "goedel_workbook:lean_workbook_15559",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001346.lean\",\"20f47f054655ae312cea675a787fc5016517410f722303625680aef036aad89e\",0,\"lean_workbook_1566\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001347.lean\",\"d9f8f4f8be1d6d6a665088245c3a8fbabbaeee828f8cd31587190966399c5adb\",0,\"lean_workbook_15664\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001348.lean\",\"efa99bd04193a0b319e72200032dec2574014c0a2d97a649d6c8949ed86b60d9\",0,\"lean_workbook_15666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177500,
+      "path": "data/train/pe2/goedel_workbook-000053-0000-3fa2fb8e18194d70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "3fa2fb8e18194d709fe0577c6848ae8200b02b9382409bcdf1b33b321675660e"
+    },
+    {
+      "bytes": 84198,
+      "path": "data/dev/pe2/goedel_workbook-000053-0000-1bf41636a53e341b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1bf41636a53e341b9dd668d3d9e5db7a4bf94c84fd9717a23698d11cd396a0f8"
+    },
+    {
+      "bytes": 49521,
+      "path": "data/internal_test/pe2/goedel_workbook-000053-0000-49b7f3123efcbfa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "49b7f3123efcbfa4237f1c857fb016e1eb30da128116791d1a4b4a83663eaf4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000054.json b/manifests/batches/goedel_workbook/000054.json
index 729da21a1faa4777077fb587bfc8e8f667f3b394..d6387d193a97c24759615a59863030bd2259034b 100644
--- a/manifests/batches/goedel_workbook/000054.json
+++ b/manifests/batches/goedel_workbook/000054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000054",
   "batch_fingerprint": "423017de657a5f361080ac6ee9f054cc331f3a22950042bf0f55aae5faa0cd80",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000054-0000-858da22d920f0a31.parquet",
-      "sha256": "858da22d920f0a31a3a252a58632eebb9465b4030e90ea9a17643fe45bceb1da",
-      "bytes": 104580,
-      "rows": 29,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000054-0000-1bd455513573bcb1.parquet",
-      "sha256": "1bd455513573bcb1af8383961cb13ec6dc3b8019896579b8b892fd4cdc1e67fb",
-      "bytes": 42772,
-      "rows": 3,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15671",
     "goedel_workbook:lean_workbook_15682",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001367.lean\",\"c0129aa8dd1c59e1f9fdadef1ade49c643552cd767303afc09e57cad3b548786\",0,\"lean_workbook_1577\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001368.lean\",\"e90d0f68e24b639a7dc52d3554337bda7de8eb904cda90b1afe81800d645f872\",0,\"lean_workbook_15774\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001372.lean\",\"db3b81ab276257367c813a68c8053812a915daf51c1953c3c4b84b72d7dda043\",0,\"lean_workbook_15785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104580,
+      "path": "data/train/p6d/goedel_workbook-000054-0000-858da22d920f0a31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "858da22d920f0a31a3a252a58632eebb9465b4030e90ea9a17643fe45bceb1da"
+    },
+    {
+      "bytes": 42772,
+      "path": "data/internal_test/p6d/goedel_workbook-000054-0000-1bd455513573bcb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1bd455513573bcb1af8383961cb13ec6dc3b8019896579b8b892fd4cdc1e67fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000055.json b/manifests/batches/goedel_workbook/000055.json
index f3f654573a7a452a97aae0f7210f2c567fcf1517..6e2446be7e4abf7375535bfdcf7e21d9ef6cb0d0 100644
--- a/manifests/batches/goedel_workbook/000055.json
+++ b/manifests/batches/goedel_workbook/000055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000055",
   "batch_fingerprint": "c65d1834f5d94f2fedc0baed02cd46d6705e51b0a6cc07a6c9a3a0cdebb23c2a",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000055-0000-9031bd4227f4a2a9.parquet",
-      "sha256": "9031bd4227f4a2a914ea09d478baea8d86ec4e7010b418cadf8becd93a01380f",
-      "bytes": 208977,
-      "rows": 43,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000055-0000-5e5edc7876127752.parquet",
-      "sha256": "5e5edc78761277524b450b30bd0c7385c4662f3a7cac35ca2fc42a3a63d9d9ce",
-      "bytes": 58974,
-      "rows": 10,
-      "revision": "a6da332b4f9004367638a433cde388d78887982e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15811",
     "goedel_workbook:lean_workbook_15812",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001397.lean\",\"881392fda8fc0652a52430d67af8fbc0ee1d85a7f7d6daa72cad67a4a1dbe922\",0,\"lean_workbook_15889\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001398.lean\",\"f97922da39a6e99889732a5bafc42c7272140ad0d2b4bffba25d459f3510242a\",0,\"lean_workbook_1589\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001399.lean\",\"7250c9632d9dfec656d7f77514cc9d0cf026e99886d0616ab39569276e4c3d75\",0,\"lean_workbook_15891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208977,
+      "path": "data/train/p15/goedel_workbook-000055-0000-9031bd4227f4a2a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "9031bd4227f4a2a914ea09d478baea8d86ec4e7010b418cadf8becd93a01380f"
+    },
+    {
+      "bytes": 58974,
+      "path": "data/internal_test/p15/goedel_workbook-000055-0000-5e5edc7876127752.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5e5edc78761277524b450b30bd0c7385c4662f3a7cac35ca2fc42a3a63d9d9ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000056.json b/manifests/batches/goedel_workbook/000056.json
index 2c1b0e96b802a147bda5063b1aec8cda2649ef66..c1a825573f31596392fcfb80201e531df1f30ff0 100644
--- a/manifests/batches/goedel_workbook/000056.json
+++ b/manifests/batches/goedel_workbook/000056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000056",
   "batch_fingerprint": "d042e7a7d029759d21c48ced5a33beeff7ed52cec69a1ff3dea9bf6882526d15",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000056-0000-78112941428de174.parquet",
-      "sha256": "78112941428de174adcf8f9573d004ae3abaa222239cef8381c487a02dfbc89d",
-      "bytes": 100513,
-      "rows": 30,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000056-0000-5e3f08a3ad8667fb.parquet",
-      "sha256": "5e3f08a3ad8667fbcbb917eeeb7524250f40b2d451fc8c4b9e9aa2798f5c621c",
-      "bytes": 28180,
-      "rows": 1,
-      "revision": "7943b8c596a1cd6c5eda7e81b6d9b33a3eec1a44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15893",
     "goedel_workbook:lean_workbook_1590",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001419.lean\",\"d72e67a85678648a56cbfeaa92bfe952d627d00d70d8c4dbbacad9363e5f1c73\",0,\"lean_workbook_15958\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001421.lean\",\"3299b07e05e2d5d202a4c249c281b2459e7444b1f530ec78a99cd51814cab46e\",0,\"lean_workbook_15972\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001424.lean\",\"6be0926b7ec15d50b3bce495d328f7d6ff64ed77a275c6f91ff9a7a40f066e3e\",0,\"lean_workbook_15983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100513,
+      "path": "data/train/p2d/goedel_workbook-000056-0000-78112941428de174.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "78112941428de174adcf8f9573d004ae3abaa222239cef8381c487a02dfbc89d"
+    },
+    {
+      "bytes": 28180,
+      "path": "data/internal_test/p2d/goedel_workbook-000056-0000-5e3f08a3ad8667fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5e3f08a3ad8667fbcbb917eeeb7524250f40b2d451fc8c4b9e9aa2798f5c621c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000057.json b/manifests/batches/goedel_workbook/000057.json
index 0d36813f3f5adfa2106eaafb171394b1b93c701d..b22f4248aaf5e8e9b49a97259219914c7b83c594 100644
--- a/manifests/batches/goedel_workbook/000057.json
+++ b/manifests/batches/goedel_workbook/000057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000057",
   "batch_fingerprint": "100217bb8c021f2a2a404d39718503607eecaba198bc74f441eebd8bb6ad1841",
   "evidence": {
@@ -216,29 +215,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000057-0000-9e399a7b5f3afee1.parquet",
-      "sha256": "9e399a7b5f3afee1d70c02d8a1ee65fb00a962efabf786d08955d75c48067d5b",
-      "bytes": 199720,
-      "rows": 28,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000057-0000-118949ab03db3735.parquet",
-      "sha256": "118949ab03db37350657dae9134b1ce3dc895ee84d246ab0d7e566ee7371e915",
-      "bytes": 38780,
-      "rows": 4,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000057-0000-dd255bf742bc7a81.parquet",
-      "sha256": "dd255bf742bc7a81980cad7c84e745a41960b449c8a2c1bbc498866e6c51e25d",
-      "bytes": 126380,
-      "rows": 18,
-      "revision": "c8ad497ded91c869f65b164b098edeb5058e4835"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_15985",
     "goedel_workbook:lean_workbook_15988",
@@ -272,5 +249,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001446.lean\",\"ea4911f0122e268361b099e4fad6f85c014cca81c073718123b7c61a4e02fc32\",0,\"lean_workbook_16061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001447.lean\",\"4b6e82606c95b508527a94554e021bef16f7f9696609f194588c0b0868147a12\",0,\"lean_workbook_16064\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001449.lean\",\"08f37aa89699579b865f31343ec0189612455678da7d577c911d7c189f6b2ffd\",0,\"lean_workbook_16067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199720,
+      "path": "data/train/p28/goedel_workbook-000057-0000-9e399a7b5f3afee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "9e399a7b5f3afee1d70c02d8a1ee65fb00a962efabf786d08955d75c48067d5b"
+    },
+    {
+      "bytes": 38780,
+      "path": "data/dev/p28/goedel_workbook-000057-0000-118949ab03db3735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "118949ab03db37350657dae9134b1ce3dc895ee84d246ab0d7e566ee7371e915"
+    },
+    {
+      "bytes": 126380,
+      "path": "data/internal_test/p28/goedel_workbook-000057-0000-dd255bf742bc7a81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "dd255bf742bc7a81980cad7c84e745a41960b449c8a2c1bbc498866e6c51e25d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000058.json b/manifests/batches/goedel_workbook/000058.json
index ffe43e615b69da46d73d4fab1f3666289cf122d9..5c73ffe132ef27652ea68cbc40b48f2f2c5c5cd7 100644
--- a/manifests/batches/goedel_workbook/000058.json
+++ b/manifests/batches/goedel_workbook/000058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000058",
   "batch_fingerprint": "f9779c7cd66dd3c15de8056ad0a66678f290e3cb4aece3428b7e93d2f5d86562",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000058-0000-dff101940b0b966a.parquet",
-      "sha256": "dff101940b0b966aa2db2938275dbb9ef4236fc6e8245bd6c627ef4564bcc1cf",
-      "bytes": 163744,
-      "rows": 36,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000058-0000-aacba2166de79d6f.parquet",
-      "sha256": "aacba2166de79d6fbf45076108968c382193c28eccf737410fc12f4943bf9a2a",
-      "bytes": 31864,
-      "rows": 1,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16073",
     "goedel_workbook:lean_workbook_16092",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001472.lean\",\"f41b3dee72ccd74c7995a5450beee640652186d35c612f1b6acdf13115ac116c\",0,\"lean_workbook_16155\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001473.lean\",\"09d9a467fa8d9a61bcf1443c75b04ef66e8218c95ae633cb44a793c11c236a19\",0,\"lean_workbook_16156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001474.lean\",\"01eeebb6e8809eacf77dc9da00cd3f07dd1add9741ae41a460de147e55e23eaf\",0,\"lean_workbook_16157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163744,
+      "path": "data/train/pca/goedel_workbook-000058-0000-dff101940b0b966a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "dff101940b0b966aa2db2938275dbb9ef4236fc6e8245bd6c627ef4564bcc1cf"
+    },
+    {
+      "bytes": 31864,
+      "path": "data/internal_test/pca/goedel_workbook-000058-0000-aacba2166de79d6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aacba2166de79d6fbf45076108968c382193c28eccf737410fc12f4943bf9a2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000059.json b/manifests/batches/goedel_workbook/000059.json
index cd5082a03419bb1e4edf5930ef30d182b85ddde5..332b81e5b795e1c8fee0264b3e36896169bcaab1 100644
--- a/manifests/batches/goedel_workbook/000059.json
+++ b/manifests/batches/goedel_workbook/000059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000059",
   "batch_fingerprint": "554db53d850bc6905b11346f2c3d8afaf20a1695eede29c124d880fd79afadb9",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000059-0000-96fc5044475aac70.parquet",
-      "sha256": "96fc5044475aac70c2bc2b148f39c47ac1c018e6de7e2edb268010575d6c3fa4",
-      "bytes": 137261,
-      "rows": 25,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000059-0000-75f6bdf93f93c6c8.parquet",
-      "sha256": "75f6bdf93f93c6c8419a5bb7eae717c507a56da2efc96b58885cfdf8b4eb9419",
-      "bytes": 49702,
-      "rows": 5,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000059-0000-3fb1f86482421ceb.parquet",
-      "sha256": "3fb1f86482421cebe7dfd601a28da5e45bc32160944d5e7ef83af4cb858c02cf",
-      "bytes": 50632,
-      "rows": 9,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16162",
     "goedel_workbook:lean_workbook_16184",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001494.lean\",\"08305ff174b35f1a62d72c11e47db1e922af58f612f0c8bc03221211654ea00a\",0,\"lean_workbook_16248\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001495.lean\",\"6e6ff22056f0ed2fdb650a3cb3051e5448a4ee633f39e30d4b1af12207399eb2\",0,\"lean_workbook_1625\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001498.lean\",\"1b9afee6d29c9651dfc2b9b7e27f2a2ed57675a7658408076d0bd5091dcbd58c\",0,\"lean_workbook_16260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137261,
+      "path": "data/train/pdd/goedel_workbook-000059-0000-96fc5044475aac70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "96fc5044475aac70c2bc2b148f39c47ac1c018e6de7e2edb268010575d6c3fa4"
+    },
+    {
+      "bytes": 49702,
+      "path": "data/dev/pdd/goedel_workbook-000059-0000-75f6bdf93f93c6c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "75f6bdf93f93c6c8419a5bb7eae717c507a56da2efc96b58885cfdf8b4eb9419"
+    },
+    {
+      "bytes": 50632,
+      "path": "data/internal_test/pdd/goedel_workbook-000059-0000-3fb1f86482421ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3fb1f86482421cebe7dfd601a28da5e45bc32160944d5e7ef83af4cb858c02cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000060.json b/manifests/batches/goedel_workbook/000060.json
index c091c464df1f2d4bec0a0f52642f47311e318535..b311086ca8ccd501edf0f6eaa18afc51a5b97d71 100644
--- a/manifests/batches/goedel_workbook/000060.json
+++ b/manifests/batches/goedel_workbook/000060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000060",
   "batch_fingerprint": "5eeef6aea590d77ae63dc8404cc72b44c8e01e952bebe31b0bdb17e93f078d82",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000060-0000-43f569a0217b8783.parquet",
-      "sha256": "43f569a0217b8783991ccd2b0389f156e244edf0544dc64e079152200f1e8512",
-      "bytes": 146497,
-      "rows": 47,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000060-0000-4a28a2e01ed65875.parquet",
-      "sha256": "4a28a2e01ed65875f244d5028ef2ad5c0202902c859ecdfa277c130257041b11",
-      "bytes": 51341,
-      "rows": 11,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1627",
     "goedel_workbook:lean_workbook_16277",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001521.lean\",\"ca9e15f3f8564cdd37c993cc350024e5c0571327b193c5c35c6e0b9ea6599ac4\",0,\"lean_workbook_16348\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001522.lean\",\"ebe95dcb4c1cdc5c3093192a370b9c78a2ff1466618d43f70760b15e802c49aa\",0,\"lean_workbook_16350\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001523.lean\",\"bed7874971c4fec6ac3b5c5670e075f65e4e0fe9ef8c6144bce0d4c0020e8ec3\",0,\"lean_workbook_16351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146497,
+      "path": "data/train/p44/goedel_workbook-000060-0000-43f569a0217b8783.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "43f569a0217b8783991ccd2b0389f156e244edf0544dc64e079152200f1e8512"
+    },
+    {
+      "bytes": 51341,
+      "path": "data/internal_test/p44/goedel_workbook-000060-0000-4a28a2e01ed65875.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4a28a2e01ed65875f244d5028ef2ad5c0202902c859ecdfa277c130257041b11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000061.json b/manifests/batches/goedel_workbook/000061.json
index 2ad98dfd158e4849c40c5ce9caa93b8e2de7a2f6..283faccbbf1e179a4ba74a323bed51aef4ae42e6 100644
--- a/manifests/batches/goedel_workbook/000061.json
+++ b/manifests/batches/goedel_workbook/000061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000061",
   "batch_fingerprint": "1259df29d6e4a091f40cc66dad0bd71801deed89d1cd14cd182a504d9fffe6d2",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000061-0000-b81a9fe5e9221e56.parquet",
-      "sha256": "b81a9fe5e9221e56433d3188da6fb2cec682759e3cbf0d183f9fdc34c8c1b796",
-      "bytes": 140878,
-      "rows": 38,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000061-0000-79363feaf21238b8.parquet",
-      "sha256": "79363feaf21238b8d27d75b01bfc6e8cb8943ff7b472bee29fc8b06f22d0e123",
-      "bytes": 41498,
-      "rows": 3,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000061-0000-92471dee65940c83.parquet",
-      "sha256": "92471dee65940c833d6027c777d20d69263bf28d4911c3c12b6f07a31afa92c9",
-      "bytes": 48384,
-      "rows": 4,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16358",
     "goedel_workbook:lean_workbook_16374",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001547.lean\",\"235327e68e2480c7a0c28ca53398e32b10b8a264555adb254f911e3ae768de89\",0,\"lean_workbook_16473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001548.lean\",\"b699872a7264805c03da123576a744ec8848f11f3b75ad6bfdcbe7a1089fd80b\",0,\"lean_workbook_16476\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001549.lean\",\"8b4efcff9ef9f3adbedce2c37bd2a244d4d0657061649dd24ae1f41c97d075c8\",0,\"lean_workbook_16478\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140878,
+      "path": "data/train/pe5/goedel_workbook-000061-0000-b81a9fe5e9221e56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "b81a9fe5e9221e56433d3188da6fb2cec682759e3cbf0d183f9fdc34c8c1b796"
+    },
+    {
+      "bytes": 41498,
+      "path": "data/dev/pe5/goedel_workbook-000061-0000-79363feaf21238b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "79363feaf21238b8d27d75b01bfc6e8cb8943ff7b472bee29fc8b06f22d0e123"
+    },
+    {
+      "bytes": 48384,
+      "path": "data/internal_test/pe5/goedel_workbook-000061-0000-92471dee65940c83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "92471dee65940c833d6027c777d20d69263bf28d4911c3c12b6f07a31afa92c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000062.json b/manifests/batches/goedel_workbook/000062.json
index 21ca518bd2a4b44e103f1b89a9c03b446854cec6..ac51c486a41e981dc83a05eff19370f19d4c55d8 100644
--- a/manifests/batches/goedel_workbook/000062.json
+++ b/manifests/batches/goedel_workbook/000062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000062",
   "batch_fingerprint": "8c3e174f0e2b2a450bf51c12c871ddf39d6a9d40a11eda59ae9167e18dcbe5f5",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000062-0000-097c8b9dcb6b3886.parquet",
-      "sha256": "097c8b9dcb6b38862686377e1f626dab7a2522d1f77f09b96c7d39aab3f6ac85",
-      "bytes": 124371,
-      "rows": 29,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000062-0000-195fdee82358db98.parquet",
-      "sha256": "195fdee82358db984b0126c7bda8dfa90dd24cbfb86fba87f899f1cdbe5e585f",
-      "bytes": 32721,
-      "rows": 2,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16484",
     "goedel_workbook:lean_workbook_16493",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001570.lean\",\"93c655e114bcda5a093cb5bbe3cf329e18a0711fab32b597aa855eb3099e5b58\",0,\"lean_workbook_16582\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001571.lean\",\"38ace85db87fa7b508ccbfeb1702ed6799a8647f305037944acb348054d0e6c1\",0,\"lean_workbook_16585\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001573.lean\",\"99fc215873996dcb071fd1c30715a8aa8faa65d95e42c8739021e2bf60352765\",0,\"lean_workbook_16591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124371,
+      "path": "data/train/p25/goedel_workbook-000062-0000-097c8b9dcb6b3886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "097c8b9dcb6b38862686377e1f626dab7a2522d1f77f09b96c7d39aab3f6ac85"
+    },
+    {
+      "bytes": 32721,
+      "path": "data/dev/p25/goedel_workbook-000062-0000-195fdee82358db98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "195fdee82358db984b0126c7bda8dfa90dd24cbfb86fba87f899f1cdbe5e585f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000063.json b/manifests/batches/goedel_workbook/000063.json
index 93496b5fa546bd76dd64d9577cee3e938e3a512b..eba4212646d15cd6dc86414e182e898b71a199e6 100644
--- a/manifests/batches/goedel_workbook/000063.json
+++ b/manifests/batches/goedel_workbook/000063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000063",
   "batch_fingerprint": "48904c3a29e7b30f0de232fba98e0b029f2b8b352e47e742cb2f0cacdb744e4e",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000063-0000-95ef5f9eaac4dd3e.parquet",
-      "sha256": "95ef5f9eaac4dd3e3984101dab33e1b79efa05f7e51315a5ca91796f3ab3549c",
-      "bytes": 114593,
-      "rows": 32,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000063-0000-5a106059fff4c327.parquet",
-      "sha256": "5a106059fff4c327abeb3c739f7f7f382de74f0d027e0fcda84cf6cd6d9eb0f8",
-      "bytes": 28955,
-      "rows": 2,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16609",
     "goedel_workbook:lean_workbook_16616",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001596.lean\",\"774a476819dd43577a046f2331520d3cc9dd2a909c5b76eee77d6cd73a5f43c7\",0,\"lean_workbook_16728\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001598.lean\",\"51f975563a02250cfc8b082436912727110f203b3df4b8c4d256d50b7e43d1ec\",0,\"lean_workbook_16735\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001599.lean\",\"40419a61951dfe46c35c402af8c8f9cda810c2d8a7704a19d16e4ce02e88b088\",0,\"lean_workbook_1674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114593,
+      "path": "data/train/p4a/goedel_workbook-000063-0000-95ef5f9eaac4dd3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "95ef5f9eaac4dd3e3984101dab33e1b79efa05f7e51315a5ca91796f3ab3549c"
+    },
+    {
+      "bytes": 28955,
+      "path": "data/internal_test/p4a/goedel_workbook-000063-0000-5a106059fff4c327.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5a106059fff4c327abeb3c739f7f7f382de74f0d027e0fcda84cf6cd6d9eb0f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000064.json b/manifests/batches/goedel_workbook/000064.json
index 86cf2e6f24a29b5940a7508ea46c042527500ba5..88242e00fe2689d107d6ad96a405366e5ac00cab 100644
--- a/manifests/batches/goedel_workbook/000064.json
+++ b/manifests/batches/goedel_workbook/000064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000064",
   "batch_fingerprint": "53198c5dc2d934ca81e3931e17a1a04f4ab927c6e7800f3f779aa989b4b82287",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000064-0000-ca4771488ed44f2f.parquet",
-      "sha256": "ca4771488ed44f2f8ea19340c636aee0720caacc10ac3f1b787b0db487ef2362",
-      "bytes": 95091,
-      "rows": 29,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000064-0000-aa68ce18e5d899a3.parquet",
-      "sha256": "aa68ce18e5d899a334ef2d023ded52a250abf80fc45997332be78e0097d8d48d",
-      "bytes": 43780,
-      "rows": 3,
-      "revision": "8b9199dc7227a9a77c63487e7310f0302aca1771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16741",
     "goedel_workbook:lean_workbook_16742",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001615.lean\",\"2325a99d9c5f9ab9ba2db89b94d8ef81da21d24b549650d133f5b6f6d872697e\",0,\"lean_workbook_16804\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001617.lean\",\"4d42b82afb5386a3266a1dbfe323085177e27d0cd51f0a26e656a526e3c57246\",0,\"lean_workbook_16814\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001620.lean\",\"eb45e971e4ff48d867af36e6973ec22795e92604fc68dda6569043e7562212d1\",0,\"lean_workbook_16826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95091,
+      "path": "data/train/pee/goedel_workbook-000064-0000-ca4771488ed44f2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ca4771488ed44f2f8ea19340c636aee0720caacc10ac3f1b787b0db487ef2362"
+    },
+    {
+      "bytes": 43780,
+      "path": "data/internal_test/pee/goedel_workbook-000064-0000-aa68ce18e5d899a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "aa68ce18e5d899a334ef2d023ded52a250abf80fc45997332be78e0097d8d48d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000065.json b/manifests/batches/goedel_workbook/000065.json
index bc00a7d397a3c1b854d5c3adf9b8c610900e9e90..902623e59632be4c67bad9d014c986375a941798 100644
--- a/manifests/batches/goedel_workbook/000065.json
+++ b/manifests/batches/goedel_workbook/000065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000065",
   "batch_fingerprint": "58498b5376f52300e332d8e8bff9c1f7a6d1653cff98f06d6a072cf726a620e4",
   "evidence": {
@@ -244,29 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000065-0000-8daf4503ca246cd3.parquet",
-      "sha256": "8daf4503ca246cd36f39f8eb3ce0961d12330cfd7699f6effb9edfeef61702de",
-      "bytes": 163879,
-      "rows": 39,
-      "revision": "8b64ede0fdeb6e2646e53abcd2a84f4b23b67aa3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000065-0000-e846df6896bec537.parquet",
-      "sha256": "e846df6896bec5372f2f93936b6cf1bbf9942ae1a93f6f4282cf27fe406abcb6",
-      "bytes": 41669,
-      "rows": 3,
-      "revision": "8b64ede0fdeb6e2646e53abcd2a84f4b23b67aa3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000065-0000-6fb3b93daf34fe24.parquet",
-      "sha256": "6fb3b93daf34fe241cc4561cc3703ac66ae4c2a3929680c018f409458fe226dd",
-      "bytes": 44425,
-      "rows": 3,
-      "revision": "8b64ede0fdeb6e2646e53abcd2a84f4b23b67aa3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16844",
     "goedel_workbook:lean_workbook_16847",
@@ -296,5 +273,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001644.lean\",\"33b96e49369eeedc1e58d1baedc9496c40d7e1fb5bab17a0bd7bc21cb70a202c\",0,\"lean_workbook_16913\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001646.lean\",\"952e20082e5184476da02dc847461dc68a32355bef89a7dda831b91a2f9871cc\",0,\"lean_workbook_16924\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001649.lean\",\"a6994784e7fb169f3980b5ce02fc65145e95481a07483d3f30c49912beb26d8d\",0,\"lean_workbook_16951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163879,
+      "path": "data/train/p10/goedel_workbook-000065-0000-8daf4503ca246cd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "8daf4503ca246cd36f39f8eb3ce0961d12330cfd7699f6effb9edfeef61702de"
+    },
+    {
+      "bytes": 41669,
+      "path": "data/dev/p10/goedel_workbook-000065-0000-e846df6896bec537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e846df6896bec5372f2f93936b6cf1bbf9942ae1a93f6f4282cf27fe406abcb6"
+    },
+    {
+      "bytes": 44425,
+      "path": "data/internal_test/p10/goedel_workbook-000065-0000-6fb3b93daf34fe24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6fb3b93daf34fe241cc4561cc3703ac66ae4c2a3929680c018f409458fe226dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000066.json b/manifests/batches/goedel_workbook/000066.json
index 46ecd834db5a9a6da4a7505ffa1b1d31d1fc114e..578ed6e75b7966272d8b289c26d4d9678ac82303 100644
--- a/manifests/batches/goedel_workbook/000066.json
+++ b/manifests/batches/goedel_workbook/000066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000066",
   "batch_fingerprint": "cd0249d8da81939bbbfdc944fc0b262de6eb3cb91620097413becc2cf26d8fb6",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000066-0000-6122c33e98527cb8.parquet",
-      "sha256": "6122c33e98527cb8489ca28104fdb73e11a83920ce295846bf5d85154388cd17",
-      "bytes": 194984,
-      "rows": 41,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000066-0000-6cef7e1f2517873e.parquet",
-      "sha256": "6cef7e1f2517873e35954468651c4d6e86acde2a16eee6099dbb5722f7dc2145",
-      "bytes": 64930,
-      "rows": 4,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000066-0000-7c4d58fded3696cc.parquet",
-      "sha256": "7c4d58fded3696cc35a316a247c6364e4b2d800187e24cb3a4191ec8cdac54f5",
-      "bytes": 51445,
-      "rows": 8,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_16961",
     "goedel_workbook:lean_workbook_16965",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001670.lean\",\"7ce40929259c8fdcc389edc40c06c8dff2f93c5900879113d8ae2807afb5e8c6\",0,\"lean_workbook_17063\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001673.lean\",\"2327f85977c6d61953c8a70e62f2de9f0c4bb0c135e3da36d55bd4839ad84409\",0,\"lean_workbook_17070\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001674.lean\",\"fe13c869c4f6590625e8b9ca7e1e6c18d5e3cb51f8ea5f44b2967ee960500315\",0,\"lean_workbook_17075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194984,
+      "path": "data/train/p39/goedel_workbook-000066-0000-6122c33e98527cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "6122c33e98527cb8489ca28104fdb73e11a83920ce295846bf5d85154388cd17"
+    },
+    {
+      "bytes": 64930,
+      "path": "data/dev/p39/goedel_workbook-000066-0000-6cef7e1f2517873e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6cef7e1f2517873e35954468651c4d6e86acde2a16eee6099dbb5722f7dc2145"
+    },
+    {
+      "bytes": 51445,
+      "path": "data/internal_test/p39/goedel_workbook-000066-0000-7c4d58fded3696cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7c4d58fded3696cc35a316a247c6364e4b2d800187e24cb3a4191ec8cdac54f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000067.json b/manifests/batches/goedel_workbook/000067.json
index 8910d43d6da963f1df804df225d96b0ba86ce98d..406934b1cd6ff717de822f485ea70a2508fe71b5 100644
--- a/manifests/batches/goedel_workbook/000067.json
+++ b/manifests/batches/goedel_workbook/000067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000067",
   "batch_fingerprint": "dd4f6b4a39cc20b9e8882ff024ae6382666e2493c7de30ec85dbe3fc473f2dce",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000067-0000-28487aca55953a48.parquet",
-      "sha256": "28487aca55953a486189cd0dab9a80c48001909ffd41f8da1e8ff379ce54505a",
-      "bytes": 144660,
-      "rows": 30,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000067-0000-8fb54e157d55f0dc.parquet",
-      "sha256": "8fb54e157d55f0dcdb64516413008a42d51e037fc8b0f857f3e7ff4c51944e91",
-      "bytes": 69350,
-      "rows": 6,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17076",
     "goedel_workbook:lean_workbook_17078",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001694.lean\",\"ed5aed832ce106458d021e86978874ea476652698a9b5289c915db376f788eda\",0,\"lean_workbook_1715\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001696.lean\",\"cf919e8653069bbb6fa1d52b5763b9dfd5a8e5cbfc100ef9441f09e8e9e91bc0\",0,\"lean_workbook_17156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001697.lean\",\"0c9538f63f13f6a76a89def6cc37e9620b507e6abfa59eb8671812587691e27c\",0,\"lean_workbook_17157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144660,
+      "path": "data/train/p63/goedel_workbook-000067-0000-28487aca55953a48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "28487aca55953a486189cd0dab9a80c48001909ffd41f8da1e8ff379ce54505a"
+    },
+    {
+      "bytes": 69350,
+      "path": "data/internal_test/p63/goedel_workbook-000067-0000-8fb54e157d55f0dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8fb54e157d55f0dcdb64516413008a42d51e037fc8b0f857f3e7ff4c51944e91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000068.json b/manifests/batches/goedel_workbook/000068.json
index b2b651604618a271eeb6684d3b7a7dae5dba5755..7368340daf6d7fbed49f665daf67efe9d628997c 100644
--- a/manifests/batches/goedel_workbook/000068.json
+++ b/manifests/batches/goedel_workbook/000068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000068",
   "batch_fingerprint": "eab6c3b2f64e8012735cbc4656ef09d70dc16b771893dee0b644841a8a7ec123",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000068-0000-34b6eff8ae824f1d.parquet",
-      "sha256": "34b6eff8ae824f1d55d0ce6878155c682b65388ac7df0c1f2d1f15a808c4f4c6",
-      "bytes": 100336,
-      "rows": 30,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000068-0000-4e83a6d786a6e622.parquet",
-      "sha256": "4e83a6d786a6e622305a6f1b491233ce320f5bdb41e304016312891fbc9659c3",
-      "bytes": 33419,
-      "rows": 2,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17163",
     "goedel_workbook:lean_workbook_17167",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001722.lean\",\"54a8a15e92ab771ecd4d83d1e4b61dd5c8ce50a87d600ade5e0d8f88a05bfd3e\",0,\"lean_workbook_17272\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001723.lean\",\"7aab60272c2bf9f477de989d0afe87f570c76f7f6c23334dae26eef18398f2c6\",0,\"lean_workbook_17277\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001724.lean\",\"92bb42a737a645246448254f48adeb08866f690ad859518da72a62afc3aab548\",0,\"lean_workbook_17278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100336,
+      "path": "data/train/pca/goedel_workbook-000068-0000-34b6eff8ae824f1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "34b6eff8ae824f1d55d0ce6878155c682b65388ac7df0c1f2d1f15a808c4f4c6"
+    },
+    {
+      "bytes": 33419,
+      "path": "data/internal_test/pca/goedel_workbook-000068-0000-4e83a6d786a6e622.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4e83a6d786a6e622305a6f1b491233ce320f5bdb41e304016312891fbc9659c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000069.json b/manifests/batches/goedel_workbook/000069.json
index 33ee980d494fb66fbb0134f36476d3491a16c6bf..f7deb00361b97622646a3b8d1c0d410dd8afdfa7 100644
--- a/manifests/batches/goedel_workbook/000069.json
+++ b/manifests/batches/goedel_workbook/000069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000069",
   "batch_fingerprint": "fd0c18216ab34bc2ea756922c9dafcf9b5132d7a63f141993c5cbe4758162064",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000069-0000-aed889ca55daf434.parquet",
-      "sha256": "aed889ca55daf434f1997b70e838e528bb8e011e7a18564ac1bb4961a77cd781",
-      "bytes": 182515,
-      "rows": 37,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000069-0000-ec870811ba2f2c2f.parquet",
-      "sha256": "ec870811ba2f2c2fbcccdd9abf3ce6efe6e9c13a98b437812173d68806cd825f",
-      "bytes": 45019,
-      "rows": 5,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17279",
     "goedel_workbook:lean_workbook_17280",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001745.lean\",\"7da69e6d8966cd8380b65d9f098fd834c85f72e485b01f4918de29475fcb49e1\",0,\"lean_workbook_17336\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001746.lean\",\"07575a36549f60ef669568ace2e9af176a0bfedcddd70c7c5ef5ebaf48b81f85\",0,\"lean_workbook_17343\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001747.lean\",\"8a5d4b05fbb162d51fa343f140fd6fc649d411bd1f8aa5fb1d0d1da45b3fbe3a\",0,\"lean_workbook_17347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182515,
+      "path": "data/train/pa7/goedel_workbook-000069-0000-aed889ca55daf434.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "aed889ca55daf434f1997b70e838e528bb8e011e7a18564ac1bb4961a77cd781"
+    },
+    {
+      "bytes": 45019,
+      "path": "data/internal_test/pa7/goedel_workbook-000069-0000-ec870811ba2f2c2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ec870811ba2f2c2fbcccdd9abf3ce6efe6e9c13a98b437812173d68806cd825f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000070.json b/manifests/batches/goedel_workbook/000070.json
index fc2882aeccb856338d18171391f50c7ebf100205..cf193852b35b32324b7e327692a7d6cea3927ef9 100644
--- a/manifests/batches/goedel_workbook/000070.json
+++ b/manifests/batches/goedel_workbook/000070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000070",
   "batch_fingerprint": "1de552b6d9e503d667f46932c041e9b4021fa22c9b70150d01267b2d66ed06b8",
   "evidence": {
@@ -307,22 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000070-0000-452df02053aaa39e.parquet",
-      "sha256": "452df02053aaa39e7746e2047494f86863f0a1d39feaecf0312388649ac31c75",
-      "bytes": 110780,
-      "rows": 30,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000070-0000-fd6abd27b1d8a394.parquet",
-      "sha256": "fd6abd27b1d8a394f8163636e04a59c24c98b39445665089619e8dac397f8135",
-      "bytes": 41622,
-      "rows": 6,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17354",
     "goedel_workbook:lean_workbook_17355",
@@ -344,5 +328,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001764.lean\",\"8762cb4fa205deb45ec7388ed02311b12a8aed9eb0a1785546d2c03df89d53ab\",0,\"lean_workbook_17388\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001769.lean\",\"ca0c92b6644f8fe3aba52f81ffbd7b190f915d04d40ec1e52355b11d2616a682\",0,\"lean_workbook_17400\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001772.lean\",\"7d667199c65dae26c74532199664fbc8adf9bb7eb62af47ec6b82f07f1ac1675\",0,\"lean_workbook_17409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110780,
+      "path": "data/train/p05/goedel_workbook-000070-0000-452df02053aaa39e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "452df02053aaa39e7746e2047494f86863f0a1d39feaecf0312388649ac31c75"
+    },
+    {
+      "bytes": 41622,
+      "path": "data/internal_test/p05/goedel_workbook-000070-0000-fd6abd27b1d8a394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fd6abd27b1d8a394f8163636e04a59c24c98b39445665089619e8dac397f8135"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000071.json b/manifests/batches/goedel_workbook/000071.json
index e14a67bc904f9a1b79eb37cb00c1136236af2cb6..50593866078201a164020a29f31d64769810917d 100644
--- a/manifests/batches/goedel_workbook/000071.json
+++ b/manifests/batches/goedel_workbook/000071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000071",
   "batch_fingerprint": "d752031d18f34601de91f7cf53c5641b1185d549d086369b36f56e5130287bcf",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000071-0000-d7fef5667ad7c969.parquet",
-      "sha256": "d7fef5667ad7c969472ec18bb4b40cb871d9ca9a34e559e6605cea2ae15c669e",
-      "bytes": 208282,
-      "rows": 38,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000071-0000-87d8a81a3c786c09.parquet",
-      "sha256": "87d8a81a3c786c09c884926fa65d4abcee57122fc4ee4fa192781b99d403ec8f",
-      "bytes": 48284,
-      "rows": 5,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17425",
     "goedel_workbook:lean_workbook_17433",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001794.lean\",\"c8f4e88eafa770ddbc86f2dc830ef97a4f085e6f803c21ef9f6e5fa6ce928952\",0,\"lean_workbook_17493\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001797.lean\",\"745f2c52cae7a704c6a8b67dea97abc37f3c1b7a01a2312cbcb27ea2470b031c\",0,\"lean_workbook_17519\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001798.lean\",\"ba6c75e95ccfb4767477725282ae538cfce2d0d1533234498ebc4ca199e7b8a3\",0,\"lean_workbook_1752\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208282,
+      "path": "data/train/p03/goedel_workbook-000071-0000-d7fef5667ad7c969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d7fef5667ad7c969472ec18bb4b40cb871d9ca9a34e559e6605cea2ae15c669e"
+    },
+    {
+      "bytes": 48284,
+      "path": "data/internal_test/p03/goedel_workbook-000071-0000-87d8a81a3c786c09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "87d8a81a3c786c09c884926fa65d4abcee57122fc4ee4fa192781b99d403ec8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000072.json b/manifests/batches/goedel_workbook/000072.json
index 805dfade0d39960801d3fd03394a94f7a2c4f2e2..381b5bd8c78ad30be18256e8b87391b2ffc21f56 100644
--- a/manifests/batches/goedel_workbook/000072.json
+++ b/manifests/batches/goedel_workbook/000072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000072",
   "batch_fingerprint": "c2bf1e8ca884b1911780f9d8291b5438011a6edc5c1cb255ede4865972067fc0",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000072-0000-7e72b80afcfbe822.parquet",
-      "sha256": "7e72b80afcfbe822e91f7257ac0912fe71e8376d8215e9b072b08875a1d22012",
-      "bytes": 155719,
-      "rows": 36,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000072-0000-ca16f5667fb521e1.parquet",
-      "sha256": "ca16f5667fb521e108a400ceec23663170fe3caac46e0d7437d54ebf094019ad",
-      "bytes": 32508,
-      "rows": 2,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17528",
     "goedel_workbook:lean_workbook_17532",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001821.lean\",\"3e9818e915a9cb90ff40a1b2a3a576cba28f524559cfd5ff39db9263ab2ea31b\",0,\"lean_workbook_17613\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001822.lean\",\"7af7d02d9ecd1a6d5ca0f35be025080aae08ff8fecea368310047511251d6afe\",0,\"lean_workbook_17614\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001823.lean\",\"cb8e6269f1660a2d48f5a2fd83335d64f28c2b53443aa9e67ed0fed3485a6168\",0,\"lean_workbook_17615\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155719,
+      "path": "data/train/p06/goedel_workbook-000072-0000-7e72b80afcfbe822.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "7e72b80afcfbe822e91f7257ac0912fe71e8376d8215e9b072b08875a1d22012"
+    },
+    {
+      "bytes": 32508,
+      "path": "data/internal_test/p06/goedel_workbook-000072-0000-ca16f5667fb521e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ca16f5667fb521e108a400ceec23663170fe3caac46e0d7437d54ebf094019ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000073.json b/manifests/batches/goedel_workbook/000073.json
index 88a002dd0db59caca997a3aa4e69161bf2d9810e..3f3a2f11267e3ef67bb128f7547ac17998c7c73d 100644
--- a/manifests/batches/goedel_workbook/000073.json
+++ b/manifests/batches/goedel_workbook/000073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000073",
   "batch_fingerprint": "1c2e56eb4449690bbebb528238f4040a3335a72780a50749cfc51cb38ca60155",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000073-0000-14f5e61e3726a61d.parquet",
-      "sha256": "14f5e61e3726a61d81546808668d519c2f12083b685d543d1c8ff9e6d08c177c",
-      "bytes": 180882,
-      "rows": 41,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000073-0000-85c394352159bfe6.parquet",
-      "sha256": "85c394352159bfe6562459f8c280110e6b0cd56e878f286e2e33ba47abcae504",
-      "bytes": 65138,
-      "rows": 12,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17644",
     "goedel_workbook:lean_workbook_17645",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001844.lean\",\"431d4fa01f737985a27a6b840ec39b0b6c03c4f2632d68b8955cf4930ea6c97a\",0,\"lean_workbook_17722\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001846.lean\",\"1549e15073cd16caa1b85b3d4c7fa3be239131a815344f89ac4193fc1425febd\",0,\"lean_workbook_17727\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001847.lean\",\"b2ee33de1dcb42c49e9d27e23dcc8f8dff7b32e65dd6977a8fbb2f4110b400a9\",0,\"lean_workbook_17738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180882,
+      "path": "data/train/p97/goedel_workbook-000073-0000-14f5e61e3726a61d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "14f5e61e3726a61d81546808668d519c2f12083b685d543d1c8ff9e6d08c177c"
+    },
+    {
+      "bytes": 65138,
+      "path": "data/dev/p97/goedel_workbook-000073-0000-85c394352159bfe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "85c394352159bfe6562459f8c280110e6b0cd56e878f286e2e33ba47abcae504"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000074.json b/manifests/batches/goedel_workbook/000074.json
index b3d0e115c8b7d88932afb2f1e344e4cf2d550569..4da7cc0f1435fc6e26ded7f781c7b4b6e96400f9 100644
--- a/manifests/batches/goedel_workbook/000074.json
+++ b/manifests/batches/goedel_workbook/000074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000074",
   "batch_fingerprint": "499eece293e6f0a8bc6812954ad0ef78a183088afe42601f39a27a30cd32f4a0",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000074-0000-3feccdf3c626713e.parquet",
-      "sha256": "3feccdf3c626713e540f3c24591edef6002181bb0e55812d1b82077ee575545e",
-      "bytes": 105510,
-      "rows": 22,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000074-0000-5bd2b8c56b04aa41.parquet",
-      "sha256": "5bd2b8c56b04aa4111e290d2cb064de8e643db4a2077139dcc6ebb10167b6bd3",
-      "bytes": 58751,
-      "rows": 8,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17762",
     "goedel_workbook:lean_workbook_17763",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001870.lean\",\"4f5f5b18487cf41778d56524c3b3d7b825fb9c73aab357621a0cd0e8630b2147\",0,\"lean_workbook_17819\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001873.lean\",\"877979b960ca4365b637ab3827eecac40cb7d5045e0fe42584733725dd035bb7\",0,\"lean_workbook_17829\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001874.lean\",\"51a4229d9f9da5b27d01c465b1dc0f2482bf72a9cd376ecb74b797f918ded389\",0,\"lean_workbook_17834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105510,
+      "path": "data/train/p29/goedel_workbook-000074-0000-3feccdf3c626713e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3feccdf3c626713e540f3c24591edef6002181bb0e55812d1b82077ee575545e"
+    },
+    {
+      "bytes": 58751,
+      "path": "data/internal_test/p29/goedel_workbook-000074-0000-5bd2b8c56b04aa41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5bd2b8c56b04aa4111e290d2cb064de8e643db4a2077139dcc6ebb10167b6bd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000075.json b/manifests/batches/goedel_workbook/000075.json
index 4abe1ab6a9bce04cdf41f587f39f7e6fac6e425f..406bf309c236412895a181d744a31b0e55d51bf0 100644
--- a/manifests/batches/goedel_workbook/000075.json
+++ b/manifests/batches/goedel_workbook/000075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000075",
   "batch_fingerprint": "17b84189eaf1ecce7ad8f9ae642916762bacac6816d6d967cf1083708d1077fd",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000075-0000-b31be245002b3b3b.parquet",
-      "sha256": "b31be245002b3b3b637a5118900aa79c7af2f05d1242c59a56d77ece20559c14",
-      "bytes": 161127,
-      "rows": 32,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000075-0000-e348b1196bb15957.parquet",
-      "sha256": "e348b1196bb15957be5dc75ab1b8319fd8f6b96a987b47a8c8627b531da169e0",
-      "bytes": 62406,
-      "rows": 8,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000075-0000-d213b5b6908b6308.parquet",
-      "sha256": "d213b5b6908b630816f5d4c3e1ca60cf346666fbfa1bc63c03c61c38b67dc5eb",
-      "bytes": 35466,
-      "rows": 2,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17838",
     "goedel_workbook:lean_workbook_17846",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001894.lean\",\"373508a9c6b8fede56df3b5cd49a7665920b20a51647c0bec5a5281116e4826e\",0,\"lean_workbook_17918\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001895.lean\",\"67fbb0f33c80e541826fdcdf72986acbc3f2ed3d6957387fb718c83cd392d286\",0,\"lean_workbook_17919\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001899.lean\",\"88a4b7fe9456b7c81879b3621c7f7062987b3c28b0e680adbcf7f8c933c8c376\",0,\"lean_workbook_17951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161127,
+      "path": "data/train/p4d/goedel_workbook-000075-0000-b31be245002b3b3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "b31be245002b3b3b637a5118900aa79c7af2f05d1242c59a56d77ece20559c14"
+    },
+    {
+      "bytes": 62406,
+      "path": "data/dev/p4d/goedel_workbook-000075-0000-e348b1196bb15957.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e348b1196bb15957be5dc75ab1b8319fd8f6b96a987b47a8c8627b531da169e0"
+    },
+    {
+      "bytes": 35466,
+      "path": "data/internal_test/p4d/goedel_workbook-000075-0000-d213b5b6908b6308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d213b5b6908b630816f5d4c3e1ca60cf346666fbfa1bc63c03c61c38b67dc5eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000076.json b/manifests/batches/goedel_workbook/000076.json
index 01413cfc819c1914937b85ead6d0d25e61cbedef..a0d31437832978b79fbd2cbdc31c59ef86862d0e 100644
--- a/manifests/batches/goedel_workbook/000076.json
+++ b/manifests/batches/goedel_workbook/000076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000076",
   "batch_fingerprint": "99af646b97eae8fe829fd4c8af3abf4a68bb0bbbb34952403d0f5394483abe83",
   "evidence": {
@@ -163,15 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000076-0000-92a79042201616aa.parquet",
-      "sha256": "92a79042201616aaca209fdad79ed0367d903095f3dab9c0948a00c350b5d2e4",
-      "bytes": 184776,
-      "rows": 46,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_17962",
     "goedel_workbook:lean_workbook_17965",
@@ -209,5 +200,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001919.lean\",\"6f1a0d792eb91857423da8352e4df831aa2636247e34fda83cf7ceba8b64d66f\",0,\"lean_workbook_18012\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001921.lean\",\"be06d2b8cf39c3914d65dd935abf302a39359b2dcfc953bdf8c99936e1956171\",0,\"lean_workbook_18018\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001924.lean\",\"c444461d34d037d5eb44ce1fdef98492d24304f901799995a8f2d15543f29569\",0,\"lean_workbook_18025\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184776,
+      "path": "data/train/p68/goedel_workbook-000076-0000-92a79042201616aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "92a79042201616aaca209fdad79ed0367d903095f3dab9c0948a00c350b5d2e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000077.json b/manifests/batches/goedel_workbook/000077.json
index 43089eff3caba00a7e9fbae13af59f1cd6a617ef..0d69d0326304fe28e2f8fe3c8d2b1eb725464cd0 100644
--- a/manifests/batches/goedel_workbook/000077.json
+++ b/manifests/batches/goedel_workbook/000077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000077",
   "batch_fingerprint": "06f81e997e85e36d69f5eeacf91fb9bfe9b20ff6b90bcd87867f84f434ef15e4",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000077-0000-da14bbd8910854de.parquet",
-      "sha256": "da14bbd8910854ded996606bb4f2b6393dfa699d210c1fbea8973f5e28ac4e6a",
-      "bytes": 152626,
-      "rows": 35,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000077-0000-30c77446bee2600f.parquet",
-      "sha256": "30c77446bee2600f035c8c211635b4e7a703ba40e75101c9a20b4f2de29ac90d",
-      "bytes": 35837,
-      "rows": 2,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000077-0000-2f1534fb7422812b.parquet",
-      "sha256": "2f1534fb7422812bd5b6285bdd6f1cf63771fb0b89e2ef9a41b82ed4726798a5",
-      "bytes": 34269,
-      "rows": 1,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18032",
     "goedel_workbook:lean_workbook_18034",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001939.lean\",\"4151f33150e867961a3a6f8959cfcad5d9278f17cf8718a266bf1e23ec01ee5e\",0,\"lean_workbook_18075\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001943.lean\",\"985436fd23008c0ec6b78f52adc825f2fe8ff44edd72b7321c5594f0f2c84c5e\",0,\"lean_workbook_1811\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001946.lean\",\"c0a77ad8258b84c6a8d8e4044830f13af632e43a5a8f084341e5e68a25544f49\",0,\"lean_workbook_18115\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152626,
+      "path": "data/train/p3d/goedel_workbook-000077-0000-da14bbd8910854de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "da14bbd8910854ded996606bb4f2b6393dfa699d210c1fbea8973f5e28ac4e6a"
+    },
+    {
+      "bytes": 35837,
+      "path": "data/dev/p3d/goedel_workbook-000077-0000-30c77446bee2600f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "30c77446bee2600f035c8c211635b4e7a703ba40e75101c9a20b4f2de29ac90d"
+    },
+    {
+      "bytes": 34269,
+      "path": "data/internal_test/p3d/goedel_workbook-000077-0000-2f1534fb7422812b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2f1534fb7422812bd5b6285bdd6f1cf63771fb0b89e2ef9a41b82ed4726798a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000078.json b/manifests/batches/goedel_workbook/000078.json
index c76e2eb75f992496d93d6b69e794a291977495dc..eb02c6f4c9571c23eb38e59d6fd5a5a5514359ad 100644
--- a/manifests/batches/goedel_workbook/000078.json
+++ b/manifests/batches/goedel_workbook/000078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000078",
   "batch_fingerprint": "5b5dd97b597e8d694b231c39567fc49b22538ebbadfc1b9814ee5a26db1060af",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000078-0000-1f54d77a65bb492f.parquet",
-      "sha256": "1f54d77a65bb492f7a23431ffafa0956609d7d95c78cd7059ba34efe10466938",
-      "bytes": 152222,
-      "rows": 31,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000078-0000-967cae7c23c3f469.parquet",
-      "sha256": "967cae7c23c3f4692dff23d18f57804570d6171b7ab52da760b9b5ab7b3a7ac4",
-      "bytes": 27220,
-      "rows": 1,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000078-0000-00f169beb2b26627.parquet",
-      "sha256": "00f169beb2b266273dae7a572fc94e159df1377f828831f0972b8d093d4b0e2e",
-      "bytes": 36922,
-      "rows": 3,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18139",
     "goedel_workbook:lean_workbook_18145",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001965.lean\",\"8c5dbe7ec45d59881a606349fdc2cd8130ed7ae1e2c7dd6eeb0d4cf6f1316b89\",0,\"lean_workbook_18178\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001967.lean\",\"2f3f076562adb8d42fe64086067b681f3455bca7d36857443f358a46ba15f665\",0,\"lean_workbook_18184\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001968.lean\",\"9e0133df62f34525ab6b67c365a87b8ef48c344f997c4e84f62d93876fe91f9d\",0,\"lean_workbook_182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152222,
+      "path": "data/train/p8d/goedel_workbook-000078-0000-1f54d77a65bb492f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "1f54d77a65bb492f7a23431ffafa0956609d7d95c78cd7059ba34efe10466938"
+    },
+    {
+      "bytes": 27220,
+      "path": "data/dev/p8d/goedel_workbook-000078-0000-967cae7c23c3f469.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "967cae7c23c3f4692dff23d18f57804570d6171b7ab52da760b9b5ab7b3a7ac4"
+    },
+    {
+      "bytes": 36922,
+      "path": "data/internal_test/p8d/goedel_workbook-000078-0000-00f169beb2b26627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00f169beb2b266273dae7a572fc94e159df1377f828831f0972b8d093d4b0e2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000079.json b/manifests/batches/goedel_workbook/000079.json
index bc50e897f98f2dcb9a4b1d3d15d1af6b2795be52..df2f6f30106c1b1ba09be46134df88009065c0e4 100644
--- a/manifests/batches/goedel_workbook/000079.json
+++ b/manifests/batches/goedel_workbook/000079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000079",
   "batch_fingerprint": "388811edd32a8edd4705ff81e0ab0ce2acfa29295600c30eeb50d5faa2057b31",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000079-0000-afc02866e0e1c23b.parquet",
-      "sha256": "afc02866e0e1c23b5245b24efbaed2883be55ad4e16429bda0d81850fa6210f1",
-      "bytes": 238023,
-      "rows": 46,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000079-0000-01adc48c6cc27cca.parquet",
-      "sha256": "01adc48c6cc27cca7d5508667900fc420e5d2c128b3d13f773a22be60e3a7cfe",
-      "bytes": 47001,
-      "rows": 7,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18217",
     "goedel_workbook:lean_workbook_1822",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001997.lean\",\"894e03f45d4d676a168f4af4c3b6399bbb1ffc4d2adbc04aeb3d583de4a8e1de\",0,\"lean_workbook_18284\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001998.lean\",\"43964727a1974a6f9365c936d1be062bdfbb359024df1053cdee4ed39a9568a6\",0,\"lean_workbook_18285\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_001999.lean\",\"69b8fca2aaeac33b4467f5fefaf7fcc067b28c9da06b2b39aef656016c34ed88\",0,\"lean_workbook_18289\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238023,
+      "path": "data/train/pdc/goedel_workbook-000079-0000-afc02866e0e1c23b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "afc02866e0e1c23b5245b24efbaed2883be55ad4e16429bda0d81850fa6210f1"
+    },
+    {
+      "bytes": 47001,
+      "path": "data/internal_test/pdc/goedel_workbook-000079-0000-01adc48c6cc27cca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "01adc48c6cc27cca7d5508667900fc420e5d2c128b3d13f773a22be60e3a7cfe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000080.json b/manifests/batches/goedel_workbook/000080.json
index 0d07d7e828265cc859182d37e1c77da14d2889c0..098cab8faeb67a2343b155f1d04e46084cdaa619 100644
--- a/manifests/batches/goedel_workbook/000080.json
+++ b/manifests/batches/goedel_workbook/000080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000080",
   "batch_fingerprint": "a887cc1f93a9087b7efd08a1944c63f72512894d97936bafbe4911c0b2351b44",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000080-0000-2cb311b786493bb9.parquet",
-      "sha256": "2cb311b786493bb96a685f4e59019283f9e84f3fc3cd25541cc64546be92931d",
-      "bytes": 106366,
-      "rows": 26,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000080-0000-8fc295b08b945ee7.parquet",
-      "sha256": "8fc295b08b945ee7529d9257d0907a4c61162241fa50ccaa28e37992de36ee68",
-      "bytes": 33092,
-      "rows": 1,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000080-0000-24b315853688b5ca.parquet",
-      "sha256": "24b315853688b5caad1cef6940e2a5b406c68d3b29992be524898390e7e9ec1d",
-      "bytes": 80507,
-      "rows": 15,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18305",
     "goedel_workbook:lean_workbook_18315",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002019.lean\",\"c0bfcd08052e22083c42a81353603cfba3aa42703af8b0db1b78ec365d37f3c0\",0,\"lean_workbook_18389\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002022.lean\",\"035e02cde533957ae22b98f63ce8fb560c1f81ffce77af701b44c11ff164568e\",0,\"lean_workbook_1840\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002023.lean\",\"04e43b96675d48873bd6934b9b45e396e503b10fceb7d7c81c93b968ea2331f7\",0,\"lean_workbook_18401\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106366,
+      "path": "data/train/p59/goedel_workbook-000080-0000-2cb311b786493bb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2cb311b786493bb96a685f4e59019283f9e84f3fc3cd25541cc64546be92931d"
+    },
+    {
+      "bytes": 33092,
+      "path": "data/dev/p59/goedel_workbook-000080-0000-8fc295b08b945ee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8fc295b08b945ee7529d9257d0907a4c61162241fa50ccaa28e37992de36ee68"
+    },
+    {
+      "bytes": 80507,
+      "path": "data/internal_test/p59/goedel_workbook-000080-0000-24b315853688b5ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "24b315853688b5caad1cef6940e2a5b406c68d3b29992be524898390e7e9ec1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000081.json b/manifests/batches/goedel_workbook/000081.json
index 5ab9f75186aa210832a2ae81b7046d5db5fce88a..adba25443535f284eff6a952f68feeabf6eb4226 100644
--- a/manifests/batches/goedel_workbook/000081.json
+++ b/manifests/batches/goedel_workbook/000081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000081",
   "batch_fingerprint": "be72007b66f6d5f1b408604538b8c58b48fee1dcae776c7470d5dabaf2a5381a",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000081-0000-29cfb998e20d9929.parquet",
-      "sha256": "29cfb998e20d99297de3f6774ec1e52fb253f136af8a75981aff32c724aaa4c2",
-      "bytes": 113211,
-      "rows": 29,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000081-0000-f4f2fa31cc0b8401.parquet",
-      "sha256": "f4f2fa31cc0b8401b4c25361476f62b9a5b0344c359069e6cc495e9696ab7cd0",
-      "bytes": 44839,
-      "rows": 12,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000081-0000-dba50312b4840092.parquet",
-      "sha256": "dba50312b4840092fe8f1f2e660042287184758063d0d1d6c355f579e7336ca8",
-      "bytes": 52792,
-      "rows": 6,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18412",
     "goedel_workbook:lean_workbook_18413",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002047.lean\",\"de4bcd08677ccd8ced455f49ee5a9c1199401f8e250ff23d65d306cd6ebcbd91\",0,\"lean_workbook_18495\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002048.lean\",\"23e47166c95ac8729d30013da9641011b1a06d02d42089575c642c9d01f174c7\",0,\"lean_workbook_18498\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002049.lean\",\"c86798fd7e28ee6f52675670771d5079264e9a510ab6866858115042c93a89f2\",0,\"lean_workbook_18500\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113211,
+      "path": "data/train/pc9/goedel_workbook-000081-0000-29cfb998e20d9929.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "29cfb998e20d99297de3f6774ec1e52fb253f136af8a75981aff32c724aaa4c2"
+    },
+    {
+      "bytes": 44839,
+      "path": "data/dev/pc9/goedel_workbook-000081-0000-f4f2fa31cc0b8401.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f4f2fa31cc0b8401b4c25361476f62b9a5b0344c359069e6cc495e9696ab7cd0"
+    },
+    {
+      "bytes": 52792,
+      "path": "data/internal_test/pc9/goedel_workbook-000081-0000-dba50312b4840092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dba50312b4840092fe8f1f2e660042287184758063d0d1d6c355f579e7336ca8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000082.json b/manifests/batches/goedel_workbook/000082.json
index ac012769b1263f1f10981b3d675178382bdd14f9..15b0d43bf6d41335a12dff85010ee10cd3a6b4ed 100644
--- a/manifests/batches/goedel_workbook/000082.json
+++ b/manifests/batches/goedel_workbook/000082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000082",
   "batch_fingerprint": "8de8432290a3fc0df4e0e48f428dee5ef1117e414a86dcc3c24f7e1c9267c10b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000082-0000-5bc0aa3a451856c4.parquet",
-      "sha256": "5bc0aa3a451856c487f6f45d16a59bdf5794573a32b1e2b2ebd2ab40d78e5bba",
-      "bytes": 243427,
-      "rows": 43,
-      "revision": "c079f9e37c0d959cd034520e84df5b9dcd5f3db5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000082-0000-6d8072cb0018b949.parquet",
-      "sha256": "6d8072cb0018b949dd1251929a2c84063577b320ebc7cdbfb2a6f52069d8ec01",
-      "bytes": 40540,
-      "rows": 5,
-      "revision": "c079f9e37c0d959cd034520e84df5b9dcd5f3db5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18507",
     "goedel_workbook:lean_workbook_1852",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002069.lean\",\"1d440f2a9d0bce6e147db81630e02d9b3a9a555a6deb529e980c567a67b3471a\",0,\"lean_workbook_18591\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002070.lean\",\"08f2151c322ad101fccfe92e6a86073aca1bcba7742a3637e7283f1fb9b2d26a\",0,\"lean_workbook_18592\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002071.lean\",\"aabc8071ffdfbba147e444da913a217d9b70c0fc247171da568d3ac7682f57ac\",0,\"lean_workbook_18593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243427,
+      "path": "data/train/p82/goedel_workbook-000082-0000-5bc0aa3a451856c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "5bc0aa3a451856c487f6f45d16a59bdf5794573a32b1e2b2ebd2ab40d78e5bba"
+    },
+    {
+      "bytes": 40540,
+      "path": "data/internal_test/p82/goedel_workbook-000082-0000-6d8072cb0018b949.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6d8072cb0018b949dd1251929a2c84063577b320ebc7cdbfb2a6f52069d8ec01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000083.json b/manifests/batches/goedel_workbook/000083.json
index 7556589c7ed1e9ca19dc96d2cc6ed68249b4c67c..9cba05b2b87088aae27a81190a875b3a72a07a1c 100644
--- a/manifests/batches/goedel_workbook/000083.json
+++ b/manifests/batches/goedel_workbook/000083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000083",
   "batch_fingerprint": "516607f875a3bfca875dbbc124d30c8fed1fb781ab5ab8acb0074a23a9d560d0",
   "evidence": {
@@ -208,15 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000083-0000-9345366c1c76af98.parquet",
-      "sha256": "9345366c1c76af98174c3b4b80ec6acb982aeb6bc6c7804e611b1fb0117218e2",
-      "bytes": 131506,
-      "rows": 34,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18601",
     "goedel_workbook:lean_workbook_18602",
@@ -250,5 +241,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002091.lean\",\"4c27ce82c33ec43a99c9415b59519d126937d96c57f6f361ca8af16bf39e7b83\",0,\"lean_workbook_18665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002094.lean\",\"8be561bdf1138d44ecb01472349ce2cc67ef600fae70e6fb2fadfd57010ba897\",0,\"lean_workbook_18690\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002099.lean\",\"c33e79cf122fb60b0e2308ec739e9f48c7e11284644cfa2126e88a41c99fce20\",0,\"lean_workbook_18710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131506,
+      "path": "data/train/p1d/goedel_workbook-000083-0000-9345366c1c76af98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "9345366c1c76af98174c3b4b80ec6acb982aeb6bc6c7804e611b1fb0117218e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000084.json b/manifests/batches/goedel_workbook/000084.json
index 702725b50e6fc21237a07cd1edf314b6407ae7a5..7d42b81c1c8eefdda11e47ee286a3501cc6861ec 100644
--- a/manifests/batches/goedel_workbook/000084.json
+++ b/manifests/batches/goedel_workbook/000084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000084",
   "batch_fingerprint": "4a1fa38b1717d2c837b24f773fe03426d25efc722f245c256481e12d7811dfa0",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000084-0000-9c9c955a945e1057.parquet",
-      "sha256": "9c9c955a945e1057af654194043f648a23fa7105effb32a4430f5b890a5ec5d2",
-      "bytes": 136626,
-      "rows": 31,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000084-0000-5153372f0d7a78a6.parquet",
-      "sha256": "5153372f0d7a78a66f23fde3a2fbc9348611104d17e5e28cc296fd99f0ceedd7",
-      "bytes": 48159,
-      "rows": 11,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18722",
     "goedel_workbook:lean_workbook_18730",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002120.lean\",\"6031a2c3e655a1b4391b58962e1ee99b0e58be783120ad48765ab2c9e2b41cda\",0,\"lean_workbook_18830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002123.lean\",\"93692d54addf140cc005f402da939d3716df0992fb364e77fe18eb213d83669d\",0,\"lean_workbook_18842\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002124.lean\",\"cb0875c30a02f0cbaad13ffd2948eb8f2ffe66566c19e2a0374b595e624cc0ad\",0,\"lean_workbook_18852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136626,
+      "path": "data/train/p72/goedel_workbook-000084-0000-9c9c955a945e1057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9c9c955a945e1057af654194043f648a23fa7105effb32a4430f5b890a5ec5d2"
+    },
+    {
+      "bytes": 48159,
+      "path": "data/internal_test/p72/goedel_workbook-000084-0000-5153372f0d7a78a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5153372f0d7a78a66f23fde3a2fbc9348611104d17e5e28cc296fd99f0ceedd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000085.json b/manifests/batches/goedel_workbook/000085.json
index 8676e651ec5e908b7ff70f0bf58322dad0e1ac22..110fc5736f9799b5779a77b23e8ccebe574a9ad0 100644
--- a/manifests/batches/goedel_workbook/000085.json
+++ b/manifests/batches/goedel_workbook/000085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000085",
   "batch_fingerprint": "44a348142d4cfcf8f365fa31b95c82887a4660525f498302ab25d1e3d6f90fb0",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000085-0000-2258be641edd4b91.parquet",
-      "sha256": "2258be641edd4b913abf88ddd8cdb805bf274111c60d7839ab993669efab6e9b",
-      "bytes": 110925,
-      "rows": 27,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000085-0000-1efe85fec1aa2614.parquet",
-      "sha256": "1efe85fec1aa261421a0aeec0df4b3cf1b828e0437136ab279cd847d3d03bc97",
-      "bytes": 54457,
-      "rows": 9,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18853",
     "goedel_workbook:lean_workbook_18857",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002147.lean\",\"1ce57f7c10f6ab9fb6c905048554f5b1eb23b83959a0bc320fabfab3088e6d17\",0,\"lean_workbook_18929\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002148.lean\",\"35a123756a0628049b3e8fcc285a1dee9ba8c0cb2390c0dc3e3ba86b0d077045\",0,\"lean_workbook_18930\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002149.lean\",\"af8892f7ac2d2c83757ab163172a517224cf5234ce7fb14a9f6694e1486f5c1e\",0,\"lean_workbook_18934\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110925,
+      "path": "data/train/pff/goedel_workbook-000085-0000-2258be641edd4b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2258be641edd4b913abf88ddd8cdb805bf274111c60d7839ab993669efab6e9b"
+    },
+    {
+      "bytes": 54457,
+      "path": "data/internal_test/pff/goedel_workbook-000085-0000-1efe85fec1aa2614.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1efe85fec1aa261421a0aeec0df4b3cf1b828e0437136ab279cd847d3d03bc97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000086.json b/manifests/batches/goedel_workbook/000086.json
index 605a03f04c5b3772337bd78058e1a50dc0f47fec..d03cb909939c6779f0457eb62c4e783d804283e0 100644
--- a/manifests/batches/goedel_workbook/000086.json
+++ b/manifests/batches/goedel_workbook/000086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000086",
   "batch_fingerprint": "3fa6f2c3025801f2a5a3e441d9c4a6c175e90f61507b42bfbca16be928a3de84",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000086-0000-ca6c997b281bb289.parquet",
-      "sha256": "ca6c997b281bb28944118ebb2ada3bce18eca7e366a4d7f7b215c0f52349ee9c",
-      "bytes": 85000,
-      "rows": 23,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000086-0000-9b36fd6a06859d48.parquet",
-      "sha256": "9b36fd6a06859d481ef9d18f008ca0654e6e92952ab5a97aab25bd85111b1fc4",
-      "bytes": 33311,
-      "rows": 1,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000086-0000-54c9c4b5ceab73ec.parquet",
-      "sha256": "54c9c4b5ceab73ec94d3ef24d41c40dd004198020f82ebda72801550a1b77ef3",
-      "bytes": 48008,
-      "rows": 5,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_18936",
     "goedel_workbook:lean_workbook_18941",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002171.lean\",\"3d073714954128a5a3a9b128e5c9194c403b83e38327f8b47f4cd801e4583a5e\",0,\"lean_workbook_19015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002172.lean\",\"22cb0587b50cbcef7f29510508cb58315242702baa0c60f901f0311f4640257d\",0,\"lean_workbook_19017\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002174.lean\",\"91db88d8acd8805388c1674909bf540cb41916a3c0aa94b9b63a3cd3baf8d4a2\",0,\"lean_workbook_19021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85000,
+      "path": "data/train/p37/goedel_workbook-000086-0000-ca6c997b281bb289.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ca6c997b281bb28944118ebb2ada3bce18eca7e366a4d7f7b215c0f52349ee9c"
+    },
+    {
+      "bytes": 33311,
+      "path": "data/dev/p37/goedel_workbook-000086-0000-9b36fd6a06859d48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9b36fd6a06859d481ef9d18f008ca0654e6e92952ab5a97aab25bd85111b1fc4"
+    },
+    {
+      "bytes": 48008,
+      "path": "data/internal_test/p37/goedel_workbook-000086-0000-54c9c4b5ceab73ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "54c9c4b5ceab73ec94d3ef24d41c40dd004198020f82ebda72801550a1b77ef3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000087.json b/manifests/batches/goedel_workbook/000087.json
index a5f5286b92ce7802548b7bb9fcc5d70bca1d0efa..e04afa5df29ba724bb47265a71d9258ad572affd 100644
--- a/manifests/batches/goedel_workbook/000087.json
+++ b/manifests/batches/goedel_workbook/000087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000087",
   "batch_fingerprint": "cd4303382ab7d0422043fe62aaad653692dcbea57d413545a2d792bb06de77df",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000087-0000-113c25a4204ae7f3.parquet",
-      "sha256": "113c25a4204ae7f3ee0acaf455886c600533a2bce04d51e023db6f2bce98675f",
-      "bytes": 124381,
-      "rows": 31,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000087-0000-a0f1c1f1ef2ac0ab.parquet",
-      "sha256": "a0f1c1f1ef2ac0aba67498192d48af7f25c866392349e16ff2875e9a50672be0",
-      "bytes": 46608,
-      "rows": 5,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1903",
     "goedel_workbook:lean_workbook_19040",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002197.lean\",\"d3b81766200fa03fa1703280cbb02aae7002027708abd0e099993ddc9f4bd24f\",0,\"lean_workbook_19131\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002198.lean\",\"a52113145fa74191b32391d6c8b786266ddbe2b9adb3817050f4a3178e534bd1\",0,\"lean_workbook_19139\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002199.lean\",\"a6074815dda7a43a4b7bad5ff1b7687141a3ff4f1004396cf7364f060114af6e\",0,\"lean_workbook_19142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124381,
+      "path": "data/train/p31/goedel_workbook-000087-0000-113c25a4204ae7f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "113c25a4204ae7f3ee0acaf455886c600533a2bce04d51e023db6f2bce98675f"
+    },
+    {
+      "bytes": 46608,
+      "path": "data/internal_test/p31/goedel_workbook-000087-0000-a0f1c1f1ef2ac0ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a0f1c1f1ef2ac0aba67498192d48af7f25c866392349e16ff2875e9a50672be0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000088.json b/manifests/batches/goedel_workbook/000088.json
index 10d4b204e3ce9314d23fee56848198c8877c9ae9..af54e369671b482401db2babbe7b9cdc30883c57 100644
--- a/manifests/batches/goedel_workbook/000088.json
+++ b/manifests/batches/goedel_workbook/000088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000088",
   "batch_fingerprint": "fdca0283bee16cd4e0ea45e14a8a4f141c52cc14aa1cfbe4631f78a49e435068",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000088-0000-f098673ed685a3c6.parquet",
-      "sha256": "f098673ed685a3c682d24cbefa366b4d735b78225b4bd67cfabf65371b647800",
-      "bytes": 120767,
-      "rows": 26,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000088-0000-83f53eae7735d1b9.parquet",
-      "sha256": "83f53eae7735d1b9e8a8ff42f2842eae9a6df36331b6019b63a8657344e098a1",
-      "bytes": 26323,
-      "rows": 1,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000088-0000-9e5e542dd72da945.parquet",
-      "sha256": "9e5e542dd72da9453d304386530399483ea0f90f21a23d4f4ad9c36b2b6eaa3e",
-      "bytes": 44285,
-      "rows": 7,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19143",
     "goedel_workbook:lean_workbook_19146",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002222.lean\",\"de008717bc38f7ce07b842f36d77c59544922977e3953ad72e5de632a5dd7e30\",0,\"lean_workbook_19239\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002223.lean\",\"abf995a5e44377a7ea6611391b17f96e9bb7b48fa1c9854a9ca2d9f4f3f5e3c8\",0,\"lean_workbook_19242\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002224.lean\",\"017b99f8a0d7e5bda115b616553594e05491ded45df320cbab8b7a19fe4afa0b\",0,\"lean_workbook_19245\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120767,
+      "path": "data/train/pa4/goedel_workbook-000088-0000-f098673ed685a3c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f098673ed685a3c682d24cbefa366b4d735b78225b4bd67cfabf65371b647800"
+    },
+    {
+      "bytes": 26323,
+      "path": "data/dev/pa4/goedel_workbook-000088-0000-83f53eae7735d1b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "83f53eae7735d1b9e8a8ff42f2842eae9a6df36331b6019b63a8657344e098a1"
+    },
+    {
+      "bytes": 44285,
+      "path": "data/internal_test/pa4/goedel_workbook-000088-0000-9e5e542dd72da945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9e5e542dd72da9453d304386530399483ea0f90f21a23d4f4ad9c36b2b6eaa3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000089.json b/manifests/batches/goedel_workbook/000089.json
index e1f49942d421d09f2068e84691dc36f3288f5831..89665bc930ab5ddff035f3f288b88d152809d609 100644
--- a/manifests/batches/goedel_workbook/000089.json
+++ b/manifests/batches/goedel_workbook/000089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000089",
   "batch_fingerprint": "c3e1abf53075b992ab616f4f9754d78ade117bbedd459c08f32c36edc1be21ec",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000089-0000-ae2abdc25fb2b17e.parquet",
-      "sha256": "ae2abdc25fb2b17e89aafdb648225baf2073b5c2e50e537813de0d80ae6b396b",
-      "bytes": 180243,
-      "rows": 48,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000089-0000-b016eaedccb30aa0.parquet",
-      "sha256": "b016eaedccb30aa0dd2321a32db137052da2596a6dd4f15aa9cc9f0786f5e306",
-      "bytes": 32450,
-      "rows": 1,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000089-0000-bd499a5c34f2bf61.parquet",
-      "sha256": "bd499a5c34f2bf616a8cccaaae0ce9e11f0191cf98d85f259645da30e39578ad",
-      "bytes": 45022,
-      "rows": 7,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19250",
     "goedel_workbook:lean_workbook_19251",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002245.lean\",\"bc0c5f7ea7c9bdc695ff16f13076ccd9cfce995692dc9ac07f3205cba7b973dd\",0,\"lean_workbook_19332\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002246.lean\",\"be6d8798a547ca49271b0b59dc19a136e4ed95686e4a27503ae00505b1cf6033\",0,\"lean_workbook_19337\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002248.lean\",\"a65be7fbbdd79da11dedc85d32eab465d13930dcb92e0137cb1e00f67e1bf939\",0,\"lean_workbook_19343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180243,
+      "path": "data/train/pcb/goedel_workbook-000089-0000-ae2abdc25fb2b17e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "ae2abdc25fb2b17e89aafdb648225baf2073b5c2e50e537813de0d80ae6b396b"
+    },
+    {
+      "bytes": 32450,
+      "path": "data/dev/pcb/goedel_workbook-000089-0000-b016eaedccb30aa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b016eaedccb30aa0dd2321a32db137052da2596a6dd4f15aa9cc9f0786f5e306"
+    },
+    {
+      "bytes": 45022,
+      "path": "data/internal_test/pcb/goedel_workbook-000089-0000-bd499a5c34f2bf61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bd499a5c34f2bf616a8cccaaae0ce9e11f0191cf98d85f259645da30e39578ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000090.json b/manifests/batches/goedel_workbook/000090.json
index 46c1cdcca8db3e5e419cf57a25c2e66b879fb93d..12cf0b8e37062fb6f823aeb64bb0f272259409ac 100644
--- a/manifests/batches/goedel_workbook/000090.json
+++ b/manifests/batches/goedel_workbook/000090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000090",
   "batch_fingerprint": "03e0ea9da59ad579f0a550caef63378681bc17429df8d0e527595f4c6837a2d7",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000090-0000-606f3f241797b5fb.parquet",
-      "sha256": "606f3f241797b5fb4fc5b5f0285e2e51f1e22dc348b1051fc123a52375c30830",
-      "bytes": 128579,
-      "rows": 31,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000090-0000-a5cc75864135c082.parquet",
-      "sha256": "a5cc75864135c082223b4e10e12c5f37e526bcc022b1f7f5ef23d48fac324043",
-      "bytes": 47509,
-      "rows": 5,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19348",
     "goedel_workbook:lean_workbook_19349",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002271.lean\",\"680131e5bc0c95794c1b5d976df8fd611add8f0975f225a64c9db23ccdcb643b\",0,\"lean_workbook_19449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002272.lean\",\"b0892fca1574481aca686fcf0d068de63967d7dd2242606c6b8f62e7d2afa959\",0,\"lean_workbook_19450\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002273.lean\",\"bf6015678e06c5835e2bd4815dcc44befd14cb14ca88a1c9edcea8a2f33648d0\",0,\"lean_workbook_19453\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128579,
+      "path": "data/train/p1f/goedel_workbook-000090-0000-606f3f241797b5fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "606f3f241797b5fb4fc5b5f0285e2e51f1e22dc348b1051fc123a52375c30830"
+    },
+    {
+      "bytes": 47509,
+      "path": "data/internal_test/p1f/goedel_workbook-000090-0000-a5cc75864135c082.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a5cc75864135c082223b4e10e12c5f37e526bcc022b1f7f5ef23d48fac324043"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000091.json b/manifests/batches/goedel_workbook/000091.json
index b769a7fab8c30dd18bb28a7acaa73f4705c13b70..a139e0e4610c707d720dd453764101d7f03f36cd 100644
--- a/manifests/batches/goedel_workbook/000091.json
+++ b/manifests/batches/goedel_workbook/000091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000091",
   "batch_fingerprint": "d805dd740ca98bb92892912b82e0792186026c3adc508c50868120a312bbace4",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000091-0000-a9fa3121f569492d.parquet",
-      "sha256": "a9fa3121f569492d86acb4ed7aa17b1f58d7886c7057aaa566b2b51bc3c4dfba",
-      "bytes": 95352,
-      "rows": 27,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000091-0000-143c67215872b456.parquet",
-      "sha256": "143c67215872b45694446aab6b5865d9fb0b5d1e2f119cba6f4110bc9081d36e",
-      "bytes": 29742,
-      "rows": 1,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000091-0000-3f130cdb05e617e4.parquet",
-      "sha256": "3f130cdb05e617e42bec4c50188f09cf923fcf9cc7e5b0afe87c98cee5c93956",
-      "bytes": 43441,
-      "rows": 5,
-      "revision": "3eda2fe257b456aac2ebabf39ed1a7cfb7798721"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19467",
     "goedel_workbook:lean_workbook_19470",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002296.lean\",\"3995bc23e6162565b4686013e055df97ff8ca2326241a8c958efde53a2703231\",0,\"lean_workbook_1954\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002297.lean\",\"6bbb53222d0aa644a205cafcd3abaf733981f2ae85b40e6734d78f4a33df6247\",0,\"lean_workbook_19543\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002299.lean\",\"2bd0dcdb7d741b54cb10e52c3f93409f10b16861885f5f49e7911faac2ec6e02\",0,\"lean_workbook_1955\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95352,
+      "path": "data/train/p61/goedel_workbook-000091-0000-a9fa3121f569492d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "a9fa3121f569492d86acb4ed7aa17b1f58d7886c7057aaa566b2b51bc3c4dfba"
+    },
+    {
+      "bytes": 29742,
+      "path": "data/dev/p61/goedel_workbook-000091-0000-143c67215872b456.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "143c67215872b45694446aab6b5865d9fb0b5d1e2f119cba6f4110bc9081d36e"
+    },
+    {
+      "bytes": 43441,
+      "path": "data/internal_test/p61/goedel_workbook-000091-0000-3f130cdb05e617e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3f130cdb05e617e42bec4c50188f09cf923fcf9cc7e5b0afe87c98cee5c93956"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000092.json b/manifests/batches/goedel_workbook/000092.json
index 7d7cf214b966bf183b5e3602bd73a7d89e924fea..07f9d626b0bacced4e8be78e6cc389fa8fb64b20 100644
--- a/manifests/batches/goedel_workbook/000092.json
+++ b/manifests/batches/goedel_workbook/000092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000092",
   "batch_fingerprint": "b56b11944682c13507c6c737c2d409511e767565854cf86d947e163eb94445e8",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000092-0000-82a6ddc66c746db3.parquet",
-      "sha256": "82a6ddc66c746db32d77be102f66d3ffb38ca76fc1c42bfedb26528f81a96a25",
-      "bytes": 99502,
-      "rows": 28,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000092-0000-1405e70a8953e1d5.parquet",
-      "sha256": "1405e70a8953e1d54559cdc8b0addbb34639728ec1b5d028c0a12f1a485d1b57",
-      "bytes": 36008,
-      "rows": 2,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000092-0000-7a0b47c5d5e8a28b.parquet",
-      "sha256": "7a0b47c5d5e8a28be6e152e4ea2ce85553dc8fbca96bac7296202dec37cb3b30",
-      "bytes": 37255,
-      "rows": 4,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19550",
     "goedel_workbook:lean_workbook_19552",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002318.lean\",\"c0d4260be1bcbe4fcef8043b24af094a3e9815aed919772312d197949d1b3f59\",0,\"lean_workbook_1960\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002320.lean\",\"4d6160c8fccd856cb8ce585990884f6d20450f6a13975368d05af9d07609304d\",0,\"lean_workbook_19607\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002323.lean\",\"05d6a5bf3659017ed3de4bf785ae5bf088fbe4f5a9aab43f551de4f5a7af1d22\",0,\"lean_workbook_19623\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99502,
+      "path": "data/train/pdf/goedel_workbook-000092-0000-82a6ddc66c746db3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "82a6ddc66c746db32d77be102f66d3ffb38ca76fc1c42bfedb26528f81a96a25"
+    },
+    {
+      "bytes": 36008,
+      "path": "data/dev/pdf/goedel_workbook-000092-0000-1405e70a8953e1d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1405e70a8953e1d54559cdc8b0addbb34639728ec1b5d028c0a12f1a485d1b57"
+    },
+    {
+      "bytes": 37255,
+      "path": "data/internal_test/pdf/goedel_workbook-000092-0000-7a0b47c5d5e8a28b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7a0b47c5d5e8a28be6e152e4ea2ce85553dc8fbca96bac7296202dec37cb3b30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000093.json b/manifests/batches/goedel_workbook/000093.json
index 63c15bca245b1061c745a166a30f1309c840bc7c..46fca4f329e32f7d0147deee44b681c191fdb4ae 100644
--- a/manifests/batches/goedel_workbook/000093.json
+++ b/manifests/batches/goedel_workbook/000093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000093",
   "batch_fingerprint": "af36c657363830a5bf3d76fd056e819af9e3d84d78e30465e7ff2483511bbe39",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000093-0000-23e0e72896d43304.parquet",
-      "sha256": "23e0e72896d4330421104d3b70e29ae02903aac013bc96b15a8bdcece9b414fc",
-      "bytes": 110459,
-      "rows": 25,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000093-0000-770b7bc050dfacf5.parquet",
-      "sha256": "770b7bc050dfacf5cb71c4088b3eb0f0e5fcd1d8833942ab411e519afc4ed79b",
-      "bytes": 37629,
-      "rows": 3,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19628",
     "goedel_workbook:lean_workbook_19636",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002347.lean\",\"a6570e0cc0f23ac9074e2baf24aa1944842d2b91ec57575e5a26c828b1f99b21\",0,\"lean_workbook_19747\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002348.lean\",\"599c7d128f7ba7a6e2c4bbefe8018f2e250693a0f59422888a2f2bc2fa8c1e67\",0,\"lean_workbook_19753\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002349.lean\",\"f6b92dca4ae1cdad0f272c7ebe408d079ef877841bd0444399654a0f070130f6\",0,\"lean_workbook_19774\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110459,
+      "path": "data/train/paf/goedel_workbook-000093-0000-23e0e72896d43304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "23e0e72896d4330421104d3b70e29ae02903aac013bc96b15a8bdcece9b414fc"
+    },
+    {
+      "bytes": 37629,
+      "path": "data/internal_test/paf/goedel_workbook-000093-0000-770b7bc050dfacf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "770b7bc050dfacf5cb71c4088b3eb0f0e5fcd1d8833942ab411e519afc4ed79b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000094.json b/manifests/batches/goedel_workbook/000094.json
index 9a86dcd6ac6c3ad3b036dffa2c17bee5c382ea24..5a6057890b059e602d349399c93debe2039b7912 100644
--- a/manifests/batches/goedel_workbook/000094.json
+++ b/manifests/batches/goedel_workbook/000094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000094",
   "batch_fingerprint": "a36e5533a76158031466b22a16fe2be8b7f85099bd4439a65eaf7ffa57e4fa99",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000094-0000-cac2cdc82bce3b2b.parquet",
-      "sha256": "cac2cdc82bce3b2b7d02484fb0a99e3a99710b3bc94c011944c3554a79142331",
-      "bytes": 79437,
-      "rows": 21,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000094-0000-b1e9f3fd02150a81.parquet",
-      "sha256": "b1e9f3fd02150a819c9e3564be46a91a67fb4aaae909da0b5bb3ecd9eed9f3aa",
-      "bytes": 45713,
-      "rows": 3,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000094-0000-142c3227fa038a77.parquet",
-      "sha256": "142c3227fa038a77866b986ff006153656f7d1581985d7dd059e171ec641cdf2",
-      "bytes": 29819,
-      "rows": 1,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_19778",
     "goedel_workbook:lean_workbook_19781",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002372.lean\",\"fdfe84f22831fa2a3d331be68065cd3d8f2df09572345ee3ffb4d0ba20f265c1\",0,\"lean_workbook_1989\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002373.lean\",\"d62c20787d7a5eafa7910d9779889b2d3205fcfc764dfb494eec03e7752f9965\",0,\"lean_workbook_19904\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002374.lean\",\"0a1c210772a0c1a5b3a6deb506ed3d8788c64ca6041caf603befef8a3b6bd588\",0,\"lean_workbook_19908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79437,
+      "path": "data/train/pa0/goedel_workbook-000094-0000-cac2cdc82bce3b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "cac2cdc82bce3b2b7d02484fb0a99e3a99710b3bc94c011944c3554a79142331"
+    },
+    {
+      "bytes": 45713,
+      "path": "data/dev/pa0/goedel_workbook-000094-0000-b1e9f3fd02150a81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b1e9f3fd02150a819c9e3564be46a91a67fb4aaae909da0b5bb3ecd9eed9f3aa"
+    },
+    {
+      "bytes": 29819,
+      "path": "data/internal_test/pa0/goedel_workbook-000094-0000-142c3227fa038a77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "142c3227fa038a77866b986ff006153656f7d1581985d7dd059e171ec641cdf2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000095.json b/manifests/batches/goedel_workbook/000095.json
index b07b99f878aafffb7bd54245292ef094d91a07fb..7e2e8ab56db55d4783e0ecf637392dd980baded3 100644
--- a/manifests/batches/goedel_workbook/000095.json
+++ b/manifests/batches/goedel_workbook/000095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000095",
   "batch_fingerprint": "a96c153736e9733541c1fcb9c471b9acf66532d10be61963f54ff0fddc646ce9",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000095-0000-6b2140c95fb21902.parquet",
-      "sha256": "6b2140c95fb21902660df12f3971fcca24ecc6f212c1d5e226c818c2cbfa6eb9",
-      "bytes": 85835,
-      "rows": 18,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000095-0000-d94727980686c7ae.parquet",
-      "sha256": "d94727980686c7aec7e4b143911891549f90aabdb6b10767a1b1f6bc7b71e6c4",
-      "bytes": 64303,
-      "rows": 10,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_1991",
     "goedel_workbook:lean_workbook_19920",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002393.lean\",\"1a1656cb7a3ef00e4e313c1784be54ad7e1159b9915e93aeaf5f7f84c8095363\",0,\"lean_workbook_19976\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002394.lean\",\"15f47e5a13e81a11ab5fb4cc4b76e0408a478953fd844d480a1716a48610d3fd\",0,\"lean_workbook_19980\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002399.lean\",\"8f98953264c2d1e8ba6ed5caf70ef988191859893e33f283e5db007b1aa2ca73\",0,\"lean_workbook_19999\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85835,
+      "path": "data/train/pbd/goedel_workbook-000095-0000-6b2140c95fb21902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "6b2140c95fb21902660df12f3971fcca24ecc6f212c1d5e226c818c2cbfa6eb9"
+    },
+    {
+      "bytes": 64303,
+      "path": "data/internal_test/pbd/goedel_workbook-000095-0000-d94727980686c7ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d94727980686c7aec7e4b143911891549f90aabdb6b10767a1b1f6bc7b71e6c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000096.json b/manifests/batches/goedel_workbook/000096.json
index 0ee16a6a27e5b6f52311bd976e0e609bb253a41a..317caf2321966730578fd1f7f6cc57f5222c55aa 100644
--- a/manifests/batches/goedel_workbook/000096.json
+++ b/manifests/batches/goedel_workbook/000096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000096",
   "batch_fingerprint": "5ed6a0ca1921b06df3d476551ae9c2cd117fee505d663422037932ccdaaf349e",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000096-0000-6a934c0cf4cce744.parquet",
-      "sha256": "6a934c0cf4cce744c71aaa8287120a86a19800ae3d486e01f527450f6da9fd91",
-      "bytes": 112036,
-      "rows": 21,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000096-0000-99a7c71df442ada3.parquet",
-      "sha256": "99a7c71df442ada3bfceb034f104431ed697cdfa9f64d975768aa02e4a9e11c6",
-      "bytes": 26362,
-      "rows": 2,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20001",
     "goedel_workbook:lean_workbook_20004",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002411.lean\",\"159238c3b37c46f68d3625ab95413da5016578951bd6f4d2f9392a253a597ba2\",0,\"lean_workbook_20038\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002412.lean\",\"48fb0cf44ed35a54e83b201a21925476c0f5fb9d9e4db6249767cff8af342c43\",0,\"lean_workbook_20041\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002414.lean\",\"5dffbc6819c0c99cf843eac62c12f14ae1e1aee3d9f1f9b69e76295aaef9aafe\",0,\"lean_workbook_20044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112036,
+      "path": "data/train/pd7/goedel_workbook-000096-0000-6a934c0cf4cce744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6a934c0cf4cce744c71aaa8287120a86a19800ae3d486e01f527450f6da9fd91"
+    },
+    {
+      "bytes": 26362,
+      "path": "data/internal_test/pd7/goedel_workbook-000096-0000-99a7c71df442ada3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "99a7c71df442ada3bfceb034f104431ed697cdfa9f64d975768aa02e4a9e11c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000097.json b/manifests/batches/goedel_workbook/000097.json
index b645b5e876eacf86e83586fc02bb540f8949d1ea..adad37f1fa1f359ef57732631f6824eeaa50986b 100644
--- a/manifests/batches/goedel_workbook/000097.json
+++ b/manifests/batches/goedel_workbook/000097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000097",
   "batch_fingerprint": "c88424ddb024a39912b91962711ecb60037b2154c8cafc4e001951b25d61f63c",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000097-0000-9a88371674646e26.parquet",
-      "sha256": "9a88371674646e265ebe066febfa10c4f358eace02481b802fc16020ba29e316",
-      "bytes": 81460,
-      "rows": 19,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000097-0000-ea3f9b1e1a853ca1.parquet",
-      "sha256": "ea3f9b1e1a853ca1cc9dc3b8a63b473091f2abbb83560856b9dc0cd3b727f985",
-      "bytes": 54334,
-      "rows": 4,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000097-0000-94c3016e9cce2010.parquet",
-      "sha256": "94c3016e9cce2010d7c28a4e4327bdf70469bbc39c26f21f44e2864d81d4b8d2",
-      "bytes": 40119,
-      "rows": 4,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2010",
     "goedel_workbook:lean_workbook_20100",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002444.lean\",\"17c30ee25f1366428a385c5e292d3d5957f2d3e4e3aacc674625976fd7cd9ca3\",0,\"lean_workbook_20160\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002447.lean\",\"f01e3610af2c7d280685ae5cdc3bae0381ac6d8ce80f43ecc13604b6d2e15793\",0,\"lean_workbook_20176\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002448.lean\",\"ecc8184a426678a0acb2a2fd321dddbc507080185b960b4c59860f5500f09f39\",0,\"lean_workbook_20177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81460,
+      "path": "data/train/p0f/goedel_workbook-000097-0000-9a88371674646e26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9a88371674646e265ebe066febfa10c4f358eace02481b802fc16020ba29e316"
+    },
+    {
+      "bytes": 54334,
+      "path": "data/dev/p0f/goedel_workbook-000097-0000-ea3f9b1e1a853ca1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ea3f9b1e1a853ca1cc9dc3b8a63b473091f2abbb83560856b9dc0cd3b727f985"
+    },
+    {
+      "bytes": 40119,
+      "path": "data/internal_test/p0f/goedel_workbook-000097-0000-94c3016e9cce2010.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "94c3016e9cce2010d7c28a4e4327bdf70469bbc39c26f21f44e2864d81d4b8d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000098.json b/manifests/batches/goedel_workbook/000098.json
index 4a397fd448c4dac4b32b5d64b12a41d80bb4d25e..00427039f12c3744bbd4aa41b0f171260bff8e45 100644
--- a/manifests/batches/goedel_workbook/000098.json
+++ b/manifests/batches/goedel_workbook/000098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000098",
   "batch_fingerprint": "38599e7ad4345594f48f120fffdda05111fe610bab41759338429f0c41bcd5ee",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000098-0000-4d907d33b7cdf3f0.parquet",
-      "sha256": "4d907d33b7cdf3f071cf7df78bdc3f7256fe1efbcf4bb1ddd66ffdb28933fdf9",
-      "bytes": 89737,
-      "rows": 20,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000098-0000-3daa1f8512447664.parquet",
-      "sha256": "3daa1f8512447664e9eff8d5477c08a99d1b708acf3a23ce21242d04ea6d1404",
-      "bytes": 47989,
-      "rows": 3,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000098-0000-2c721831d4bef716.parquet",
-      "sha256": "2c721831d4bef71616bca8acf03e3b21252fe56ffa957d785d9c64b13d32758a",
-      "bytes": 31162,
-      "rows": 1,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20194",
     "goedel_workbook:lean_workbook_20195",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002470.lean\",\"09be9e5b924423b9d51d538d3c08881e622bcd810e2f6795888804da7214796a\",0,\"lean_workbook_20281\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002471.lean\",\"5dd17c3aab52a6e06480a4f7606ac65a5c662b55f383c568a1019c74f3362e4c\",0,\"lean_workbook_20287\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002474.lean\",\"3a02dc208c25070c95faee78a60303671311544c69af0fd0d1beeddd4afcbfe6\",0,\"lean_workbook_20326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89737,
+      "path": "data/train/p27/goedel_workbook-000098-0000-4d907d33b7cdf3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4d907d33b7cdf3f071cf7df78bdc3f7256fe1efbcf4bb1ddd66ffdb28933fdf9"
+    },
+    {
+      "bytes": 47989,
+      "path": "data/dev/p27/goedel_workbook-000098-0000-3daa1f8512447664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3daa1f8512447664e9eff8d5477c08a99d1b708acf3a23ce21242d04ea6d1404"
+    },
+    {
+      "bytes": 31162,
+      "path": "data/internal_test/p27/goedel_workbook-000098-0000-2c721831d4bef716.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2c721831d4bef71616bca8acf03e3b21252fe56ffa957d785d9c64b13d32758a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000099.json b/manifests/batches/goedel_workbook/000099.json
index 244d4611b2e5508c1fb37ab8556ac530458fdc8d..c1f7a7169115f8a6c649becf0a9a6869b0c1b886 100644
--- a/manifests/batches/goedel_workbook/000099.json
+++ b/manifests/batches/goedel_workbook/000099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000099",
   "batch_fingerprint": "92321a295b3fd0fe07ab294e03c02720978e1f237086ae0a8fedc729e1d9d4bd",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000099-0000-2b9379fe8979c7f8.parquet",
-      "sha256": "2b9379fe8979c7f8d07e31f544013c1772092c16d23523026847ba8352040384",
-      "bytes": 97754,
-      "rows": 28,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000099-0000-1683c9bfaeac2b8b.parquet",
-      "sha256": "1683c9bfaeac2b8bc5cb1b15e2b20ed0985f781bc53d68ec75f4824193da3907",
-      "bytes": 31765,
-      "rows": 2,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000099-0000-6510091bb1668605.parquet",
-      "sha256": "6510091bb1668605dcd8e17bb43a859d798fd1c2b426d40c4c75fa3c635c105c",
-      "bytes": 33650,
-      "rows": 1,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20330",
     "goedel_workbook:lean_workbook_20348",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002493.lean\",\"4ecbe18676a55caf32fea9d9074fd32a5a53f1be5a10ee5882e9dc703b8447c9\",0,\"lean_workbook_20402\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002494.lean\",\"395d8257017fdbc65c4bd7cbb2b6ae01dc5151d18d4017a9484e552fc62de26a\",0,\"lean_workbook_20404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002496.lean\",\"e810380c27f0be804086b332d4177fe8928dcaf8184b95d116b149dc99b1ec19\",0,\"lean_workbook_20410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97754,
+      "path": "data/train/p73/goedel_workbook-000099-0000-2b9379fe8979c7f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "2b9379fe8979c7f8d07e31f544013c1772092c16d23523026847ba8352040384"
+    },
+    {
+      "bytes": 31765,
+      "path": "data/dev/p73/goedel_workbook-000099-0000-1683c9bfaeac2b8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1683c9bfaeac2b8bc5cb1b15e2b20ed0985f781bc53d68ec75f4824193da3907"
+    },
+    {
+      "bytes": 33650,
+      "path": "data/internal_test/p73/goedel_workbook-000099-0000-6510091bb1668605.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6510091bb1668605dcd8e17bb43a859d798fd1c2b426d40c4c75fa3c635c105c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000100.json b/manifests/batches/goedel_workbook/000100.json
index 35a43381eb3c07e677f0a4d7a7f74304fd1250cc..bf48845ab3ad720e59ab348bdb87616bc13ffd04 100644
--- a/manifests/batches/goedel_workbook/000100.json
+++ b/manifests/batches/goedel_workbook/000100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000100",
   "batch_fingerprint": "c1c2b1a81136aee9e242777abd98bc8bae6cd7125dec2aabad7332bd55d435fb",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000100-0000-99a6d5ada1587788.parquet",
-      "sha256": "99a6d5ada1587788260265f99c935c0c9083cf7c235d2831a86fbd2c0cd9f0a9",
-      "bytes": 136309,
-      "rows": 31,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000100-0000-b8206265abb51f28.parquet",
-      "sha256": "b8206265abb51f288cb5431f1248318574df8da14c7dca5bf56800cb7479c670",
-      "bytes": 54761,
-      "rows": 7,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20438",
     "goedel_workbook:lean_workbook_20439",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002520.lean\",\"c403288e2c019e57af0fd29a78c51c9304a3778c199250097b8aa688f537f107\",0,\"lean_workbook_2052\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002521.lean\",\"536d5442eda023c5d47494cff7af466520720ac969e7a331e5e7400289502886\",0,\"lean_workbook_20521\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002522.lean\",\"cbb10f3663a669c761b2559025dc2060b40bc1983268e99d1201376ff71ec2da\",0,\"lean_workbook_20524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136309,
+      "path": "data/train/pca/goedel_workbook-000100-0000-99a6d5ada1587788.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "99a6d5ada1587788260265f99c935c0c9083cf7c235d2831a86fbd2c0cd9f0a9"
+    },
+    {
+      "bytes": 54761,
+      "path": "data/internal_test/pca/goedel_workbook-000100-0000-b8206265abb51f28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b8206265abb51f288cb5431f1248318574df8da14c7dca5bf56800cb7479c670"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000101.json b/manifests/batches/goedel_workbook/000101.json
index 28558f8a249d7355c9f32962f5460e8d3adb592c..8a622e835356f112da778da4c0b1249457db83df 100644
--- a/manifests/batches/goedel_workbook/000101.json
+++ b/manifests/batches/goedel_workbook/000101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000101",
   "batch_fingerprint": "ad1e86e53b06edfd5064baa71b543ea0772211361bc83e7d999f4f223778612d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000101-0000-653a049110f90e74.parquet",
-      "sha256": "653a049110f90e74659f68606867fa54bade9d264aa302439e584dcf8ede1f28",
-      "bytes": 105169,
-      "rows": 24,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000101-0000-79808792b0b78e29.parquet",
-      "sha256": "79808792b0b78e296c56792443a58bbfb13b2b995f628a659e5f7afed618387b",
-      "bytes": 45323,
-      "rows": 2,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000101-0000-c428957e31dfdd4b.parquet",
-      "sha256": "c428957e31dfdd4be2eb7ae00afd9555854a1c32679c6c413973a50d0664d923",
-      "bytes": 72340,
-      "rows": 13,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20540",
     "goedel_workbook:lean_workbook_20573",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002546.lean\",\"d48ca14a918f0c2d60d6382e7e85ce55cb99b4d8dc5422887d530db8e8a4d37f\",0,\"lean_workbook_20678\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002547.lean\",\"85ae923098e66d2e4c5c3b0cf24c64aa2486d88df1f7fbf574dee02b08453d62\",0,\"lean_workbook_20679\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002549.lean\",\"3d47989df1457abb86cb6b04cab3d228b4adcb1c2e9555afd0eee8814866d6d3\",0,\"lean_workbook_2069\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105169,
+      "path": "data/train/p14/goedel_workbook-000101-0000-653a049110f90e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "653a049110f90e74659f68606867fa54bade9d264aa302439e584dcf8ede1f28"
+    },
+    {
+      "bytes": 45323,
+      "path": "data/dev/p14/goedel_workbook-000101-0000-79808792b0b78e29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "79808792b0b78e296c56792443a58bbfb13b2b995f628a659e5f7afed618387b"
+    },
+    {
+      "bytes": 72340,
+      "path": "data/internal_test/p14/goedel_workbook-000101-0000-c428957e31dfdd4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c428957e31dfdd4be2eb7ae00afd9555854a1c32679c6c413973a50d0664d923"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000102.json b/manifests/batches/goedel_workbook/000102.json
index d113e9abc3c1c511dd7ec3ea8c2c777378678661..0e897517869fedaf1a803fa192d1590f8ab9f073 100644
--- a/manifests/batches/goedel_workbook/000102.json
+++ b/manifests/batches/goedel_workbook/000102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000102",
   "batch_fingerprint": "34d74f4d4d6213d4890719b2eb474bc5ede52053ed099f699de11e8e14ad5e5b",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000102-0000-82e7f547cc27e906.parquet",
-      "sha256": "82e7f547cc27e9068aa17406430b74a05a1ecafd0281fd7393ce06d58f0ec806",
-      "bytes": 103165,
-      "rows": 31,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000102-0000-573cdd4184022a5d.parquet",
-      "sha256": "573cdd4184022a5dbfc3002ee1b70d2313d386d8ddd5464215ab0207fe9c6554",
-      "bytes": 65710,
-      "rows": 6,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20690",
     "goedel_workbook:lean_workbook_20695",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002571.lean\",\"b26cc0728df53d074642369f2747814a33ac9d1740cd991aa1dabfe1b2cb7fd7\",0,\"lean_workbook_20773\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002572.lean\",\"79b4e66fac7dd21f3b63a2e604af85e5bb59a2bb76a0cbcd1f6f6756107fdb80\",0,\"lean_workbook_20777\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002574.lean\",\"f2c39ff00698c61e0a213108c0e62539ff98316541c9c81e88ca29736000c66e\",0,\"lean_workbook_20781\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103165,
+      "path": "data/train/p5e/goedel_workbook-000102-0000-82e7f547cc27e906.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "82e7f547cc27e9068aa17406430b74a05a1ecafd0281fd7393ce06d58f0ec806"
+    },
+    {
+      "bytes": 65710,
+      "path": "data/dev/p5e/goedel_workbook-000102-0000-573cdd4184022a5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "573cdd4184022a5dbfc3002ee1b70d2313d386d8ddd5464215ab0207fe9c6554"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000103.json b/manifests/batches/goedel_workbook/000103.json
index 0c6cdb9aed47853a6418d4467528c8ce91eaffaa..78f75e5c8068572ed901711f84a1fac98999a64d 100644
--- a/manifests/batches/goedel_workbook/000103.json
+++ b/manifests/batches/goedel_workbook/000103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000103",
   "batch_fingerprint": "2fc35366fc0eee081293294a8b3c524eba7b4a381cc2badb6a8994be2937f492",
   "evidence": {
@@ -253,36 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000103-0000-7d9c600d4b8d76e0.parquet",
-      "sha256": "7d9c600d4b8d76e00d2927d14ea5e2746b17ec9f40eeb5a4c61efe575ff61255",
-      "bytes": 385110,
-      "rows": 28,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/train/goedel_workbook-000103-0001-4f30cb6b1c7fb693.parquet",
-      "sha256": "4f30cb6b1c7fb693ee67763f27d26559edf40e9331118a431ba86314876d0104",
-      "bytes": 62664,
-      "rows": 5,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000103-0000-ed30159a3cb914f9.parquet",
-      "sha256": "ed30159a3cb914f9b813f7a86f635e2c1e8c549dfd3165c05c50efc308349db5",
-      "bytes": 42019,
-      "rows": 3,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000103-0000-5bd50cd0aa8a6e6e.parquet",
-      "sha256": "5bd50cd0aa8a6e6e48884f6205c0b6554b093605db3ec6329c357af43a6f849e",
-      "bytes": 69739,
-      "rows": 10,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20787",
     "goedel_workbook:lean_workbook_208",
@@ -310,5 +280,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002595.lean\",\"354bfcc9cf88121b093abe82ab1c76211a1cecf321c91a21e0457e3ee442dd22\",0,\"lean_workbook_20865\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002598.lean\",\"2230ee857a6a6ed523299543fb339e8be6feadc854d06d4dc6242427aaf6c021\",0,\"lean_workbook_20870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002599.lean\",\"6da87cca344886d6d0ea99f0134112a94f16088ae1e20bbff9a080c75b45e3ff\",0,\"lean_workbook_20878\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385110,
+      "path": "data/train/p92/goedel_workbook-000103-0000-7d9c600d4b8d76e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "7d9c600d4b8d76e00d2927d14ea5e2746b17ec9f40eeb5a4c61efe575ff61255"
+    },
+    {
+      "bytes": 62664,
+      "path": "data/train/p92/goedel_workbook-000103-0001-4f30cb6b1c7fb693.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4f30cb6b1c7fb693ee67763f27d26559edf40e9331118a431ba86314876d0104"
+    },
+    {
+      "bytes": 42019,
+      "path": "data/dev/p92/goedel_workbook-000103-0000-ed30159a3cb914f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ed30159a3cb914f9b813f7a86f635e2c1e8c549dfd3165c05c50efc308349db5"
+    },
+    {
+      "bytes": 69739,
+      "path": "data/internal_test/p92/goedel_workbook-000103-0000-5bd50cd0aa8a6e6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5bd50cd0aa8a6e6e48884f6205c0b6554b093605db3ec6329c357af43a6f849e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000104.json b/manifests/batches/goedel_workbook/000104.json
index 9238935146056be6429e3234a06ab5bdf6cf1562..dd10c7292e9f649f989c508b27819cc3f46cbd06 100644
--- a/manifests/batches/goedel_workbook/000104.json
+++ b/manifests/batches/goedel_workbook/000104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000104",
   "batch_fingerprint": "c6ee3434d433630f5dd80bb07337456340e145ebc88b2cbef84edbd5c4e51d96",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000104-0000-9daa22569dd3cc46.parquet",
-      "sha256": "9daa22569dd3cc46e19910d0381d0dd0862b37dc2c28f823c4157415aa78bee6",
-      "bytes": 102569,
-      "rows": 30,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000104-0000-2bf243a7fd400489.parquet",
-      "sha256": "2bf243a7fd4004896608916f5c6e1eb673f21e5fc25c563f0c6ac0216c78f28c",
-      "bytes": 37249,
-      "rows": 3,
-      "revision": "5b299e2bfe0beebe8fe6e2f8f59be613bb5a7928"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20879",
     "goedel_workbook:lean_workbook_20880",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002620.lean\",\"1dde815da3750d26f0d003ac1324ceeaa6b614124d539b92db9b0f03984426d5\",0,\"lean_workbook_20940\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002621.lean\",\"61ba1792193268d39c943d71f63394e6c2d6ba8978051d530b65e8d5f84b0fd8\",0,\"lean_workbook_20941\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002623.lean\",\"289d961e61da822c06b576222447deeb5890115e95459c089eef5a0bc3131275\",0,\"lean_workbook_20957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102569,
+      "path": "data/train/p32/goedel_workbook-000104-0000-9daa22569dd3cc46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9daa22569dd3cc46e19910d0381d0dd0862b37dc2c28f823c4157415aa78bee6"
+    },
+    {
+      "bytes": 37249,
+      "path": "data/internal_test/p32/goedel_workbook-000104-0000-2bf243a7fd400489.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2bf243a7fd4004896608916f5c6e1eb673f21e5fc25c563f0c6ac0216c78f28c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000105.json b/manifests/batches/goedel_workbook/000105.json
index 71dd04dbb5ee7ac5ba30b3e00ca4c94c45e5fcc4..7a01e2086a64b82c5157a16e0fadfef17ee5e8c7 100644
--- a/manifests/batches/goedel_workbook/000105.json
+++ b/manifests/batches/goedel_workbook/000105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000105",
   "batch_fingerprint": "ad8c6aef49de0004b2268fb97c40717873e0cf4b524250109d1f5636bf83c983",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000105-0000-8ebc2858c64d195d.parquet",
-      "sha256": "8ebc2858c64d195d954ce7578e5dfac08a260976b097a107363030a686199123",
-      "bytes": 126799,
-      "rows": 32,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000105-0000-2cef7e8d8330f2fd.parquet",
-      "sha256": "2cef7e8d8330f2fd8e6c2358657796c9f409a4b0588026b5f173b60197d7865d",
-      "bytes": 55672,
-      "rows": 7,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_20985",
     "goedel_workbook:lean_workbook_20991",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002647.lean\",\"92f277c37c46114c1d6b99477c194a18f6606d6f48975d7a867083b5120526e1\",0,\"lean_workbook_21055\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002648.lean\",\"1f02bf4d123a7eae7a6ed8983fd5cae749af168a786d6658ed790e97b3730bc8\",0,\"lean_workbook_21058\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002649.lean\",\"8000bf7a7766573785f66dceb860606db39ac63621d42e9ccf9598f9cb0fa695\",0,\"lean_workbook_21068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126799,
+      "path": "data/train/pae/goedel_workbook-000105-0000-8ebc2858c64d195d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "8ebc2858c64d195d954ce7578e5dfac08a260976b097a107363030a686199123"
+    },
+    {
+      "bytes": 55672,
+      "path": "data/internal_test/pae/goedel_workbook-000105-0000-2cef7e8d8330f2fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2cef7e8d8330f2fd8e6c2358657796c9f409a4b0588026b5f173b60197d7865d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000106.json b/manifests/batches/goedel_workbook/000106.json
index a915f6597a84146ce2d84f01915c43a2ec2d5ee9..2d6dfe4d87248d59d4cd01cefcf9e92ce0c4cda8 100644
--- a/manifests/batches/goedel_workbook/000106.json
+++ b/manifests/batches/goedel_workbook/000106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000106",
   "batch_fingerprint": "e68c46030107b11f4482d116dddec6b631cb4b1706773524365ac0e4df9ad921",
   "evidence": {
@@ -262,29 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000106-0000-6704be6fdd369e69.parquet",
-      "sha256": "6704be6fdd369e69a8652316636f5534e0c0a519c5a1824dea10b95675c12e7a",
-      "bytes": 162864,
-      "rows": 22,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000106-0000-12898ecb8168c5a4.parquet",
-      "sha256": "12898ecb8168c5a4e349223fa50105ddf427985c67456bbf913b942ebdb5fd08",
-      "bytes": 26343,
-      "rows": 1,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000106-0000-bd8ee8a4a18a286e.parquet",
-      "sha256": "bd8ee8a4a18a286e553163e45eba8b0bd9e61db21c540517b88eda81a7f5e672",
-      "bytes": 52398,
-      "rows": 9,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21069",
     "goedel_workbook:lean_workbook_21097",
@@ -312,5 +289,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002672.lean\",\"2c82fc0afbdfb2ba6f1782eb81feecd71d4438a930142d9411c4e4eb625b086f\",0,\"lean_workbook_21174\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002674.lean\",\"6d7ea6c10060457921d45fb013245856c38b24ad1d1717e2fb0217192f893a80\",0,\"lean_workbook_21179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162864,
+      "path": "data/train/p63/goedel_workbook-000106-0000-6704be6fdd369e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6704be6fdd369e69a8652316636f5534e0c0a519c5a1824dea10b95675c12e7a"
+    },
+    {
+      "bytes": 26343,
+      "path": "data/dev/p63/goedel_workbook-000106-0000-12898ecb8168c5a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "12898ecb8168c5a4e349223fa50105ddf427985c67456bbf913b942ebdb5fd08"
+    },
+    {
+      "bytes": 52398,
+      "path": "data/internal_test/p63/goedel_workbook-000106-0000-bd8ee8a4a18a286e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bd8ee8a4a18a286e553163e45eba8b0bd9e61db21c540517b88eda81a7f5e672"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000107.json b/manifests/batches/goedel_workbook/000107.json
index 05f315f5a25b4e6c1b9a4f5ff41928adca34a773..50665c8c2f4b2f57e690462efd89a57d9ce431a6 100644
--- a/manifests/batches/goedel_workbook/000107.json
+++ b/manifests/batches/goedel_workbook/000107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000107",
   "batch_fingerprint": "d68e2ec4cf5a872e0e644b36e3bd3c42e9d567e8f24362e77fd900f94e3a29e8",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000107-0000-180c1055b2e1641a.parquet",
-      "sha256": "180c1055b2e1641a3176bb60f919fd093abc81b89c73b7acc0bd5f69188d8d9e",
-      "bytes": 93445,
-      "rows": 22,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000107-0000-1e72a510feae3ef8.parquet",
-      "sha256": "1e72a510feae3ef8bf095acbd9c7eda9e0df521cb5ea7dbe8966abdec0e290eb",
-      "bytes": 105430,
-      "rows": 10,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000107-0000-616007875836a712.parquet",
-      "sha256": "616007875836a7122fa118cdbaf9b09b25d288f41ba8d71f0f806b7fa2691d02",
-      "bytes": 41668,
-      "rows": 1,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21181",
     "goedel_workbook:lean_workbook_21182",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002694.lean\",\"fa4d8ff34968b3c241df6dd9d577c45c661bc2db9f2f64b42e5b8d1ad0e7de2a\",0,\"lean_workbook_2129\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002697.lean\",\"9376423a158100bd80c8db75eef7ce37f2d8f5696e2da7aa6eede4efc73a92d9\",0,\"lean_workbook_213\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002699.lean\",\"6838c0961630d5d597aae70a99298ca040c1ea78bd6b4e961a6839e49035a632\",0,\"lean_workbook_21305\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93445,
+      "path": "data/train/p54/goedel_workbook-000107-0000-180c1055b2e1641a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "180c1055b2e1641a3176bb60f919fd093abc81b89c73b7acc0bd5f69188d8d9e"
+    },
+    {
+      "bytes": 105430,
+      "path": "data/dev/p54/goedel_workbook-000107-0000-1e72a510feae3ef8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1e72a510feae3ef8bf095acbd9c7eda9e0df521cb5ea7dbe8966abdec0e290eb"
+    },
+    {
+      "bytes": 41668,
+      "path": "data/internal_test/p54/goedel_workbook-000107-0000-616007875836a712.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "616007875836a7122fa118cdbaf9b09b25d288f41ba8d71f0f806b7fa2691d02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000108.json b/manifests/batches/goedel_workbook/000108.json
index 6d046922d817dd36847165a5164ae1ca82015633..d8d6fe6b476aff6a28b49be590df8e469be05797 100644
--- a/manifests/batches/goedel_workbook/000108.json
+++ b/manifests/batches/goedel_workbook/000108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000108",
   "batch_fingerprint": "35de1c4257da274c3ceec5760794c787c925a14b1493940bfec0052a51b804fc",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000108-0000-317d22bbbf7a2e12.parquet",
-      "sha256": "317d22bbbf7a2e12a508544b1ec68919133639e2af917e668acb6647066179cb",
-      "bytes": 105461,
-      "rows": 25,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000108-0000-899727b5f6b220a5.parquet",
-      "sha256": "899727b5f6b220a546a480125d6af9a0b4f496ffc128382e9f145bbe09932ebc",
-      "bytes": 28674,
-      "rows": 1,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21316",
     "goedel_workbook:lean_workbook_21338",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002720.lean\",\"d2f6fc15ad83841f13e6eca1020d8fdebd1e2e5124ee1623bac81bfc78c7222d\",0,\"lean_workbook_2141\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002722.lean\",\"8e4912279a0716ea2fe8250315cf89a3218c4b41b6d40bb85ea677860344c040\",0,\"lean_workbook_21418\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105461,
+      "path": "data/train/p7d/goedel_workbook-000108-0000-317d22bbbf7a2e12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "317d22bbbf7a2e12a508544b1ec68919133639e2af917e668acb6647066179cb"
+    },
+    {
+      "bytes": 28674,
+      "path": "data/dev/p7d/goedel_workbook-000108-0000-899727b5f6b220a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "899727b5f6b220a546a480125d6af9a0b4f496ffc128382e9f145bbe09932ebc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000109.json b/manifests/batches/goedel_workbook/000109.json
index 6818c46f028ca61c03cae4324e4b663730042bb3..196e7cf1abbe543a89dbc1a27175bd25a4306c8f 100644
--- a/manifests/batches/goedel_workbook/000109.json
+++ b/manifests/batches/goedel_workbook/000109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000109",
   "batch_fingerprint": "93a5b65c49ab12c83b83fa16331fb3f1d8328d3d5a0decce2a7c2a1534208ee8",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000109-0000-1ce45fe44a679a09.parquet",
-      "sha256": "1ce45fe44a679a0916226fa7e2e95429b585bf55a1d9568600c920805c609b77",
-      "bytes": 217118,
-      "rows": 52,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000109-0000-94615483b9fb78c7.parquet",
-      "sha256": "94615483b9fb78c7b0b27577812c74b06832eccb58b9f0250d13c45459e0fc28",
-      "bytes": 47525,
-      "rows": 6,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000109-0000-79fd0dfdafd2c382.parquet",
-      "sha256": "79fd0dfdafd2c382314098a6cc1816494ca43e11b0a370a5cf5f94a199d34a48",
-      "bytes": 26905,
-      "rows": 1,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21454",
     "goedel_workbook:lean_workbook_21459",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002741.lean\",\"1cd03a4e7f29953f66382d9b73f628140a62fabfa9cfa6e82363afd9868aaf97\",0,\"lean_workbook_21514\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002749.lean\",\"7e4aab9783a66161b7a4febd2c8e571102d8eead766ce3e947cf3b465cce318b\",0,\"lean_workbook_21556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217118,
+      "path": "data/train/p04/goedel_workbook-000109-0000-1ce45fe44a679a09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "1ce45fe44a679a0916226fa7e2e95429b585bf55a1d9568600c920805c609b77"
+    },
+    {
+      "bytes": 47525,
+      "path": "data/dev/p04/goedel_workbook-000109-0000-94615483b9fb78c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "94615483b9fb78c7b0b27577812c74b06832eccb58b9f0250d13c45459e0fc28"
+    },
+    {
+      "bytes": 26905,
+      "path": "data/internal_test/p04/goedel_workbook-000109-0000-79fd0dfdafd2c382.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "79fd0dfdafd2c382314098a6cc1816494ca43e11b0a370a5cf5f94a199d34a48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000110.json b/manifests/batches/goedel_workbook/000110.json
index ee11ca82e70d12463be3fd8dc03302be9c146216..9da7193c33e61167fb5af0662810217320fae15e 100644
--- a/manifests/batches/goedel_workbook/000110.json
+++ b/manifests/batches/goedel_workbook/000110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000110",
   "batch_fingerprint": "0b725957ca43d5a23c3254e1118d3dd1deed1a6dee85de8ccac1cded0497c894",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000110-0000-39675f61350b26fb.parquet",
-      "sha256": "39675f61350b26fb12adee221edf2007985a76b20becba6616376080acd70231",
-      "bytes": 205315,
-      "rows": 49,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000110-0000-d95534410edac299.parquet",
-      "sha256": "d95534410edac299eb5e9087901ba1536e287fd94f088463a8758087fc6980cd",
-      "bytes": 41118,
-      "rows": 3,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21560",
     "goedel_workbook:lean_workbook_21563",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002770.lean\",\"311c4783219d63c45a7b4d06d7b57beac579369283cb728b104cc74cb981c823\",0,\"lean_workbook_21633\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002772.lean\",\"6e77b205939f8068dd4abad4975e02d45d536e2b194c690ff46d8bbd4431c6f0\",0,\"lean_workbook_2164\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002773.lean\",\"44d7dbc60c9645e2384d27c67d47bea9089fc826d27d6bfdd16ded791f88e929\",0,\"lean_workbook_2165\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205315,
+      "path": "data/train/pcc/goedel_workbook-000110-0000-39675f61350b26fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "39675f61350b26fb12adee221edf2007985a76b20becba6616376080acd70231"
+    },
+    {
+      "bytes": 41118,
+      "path": "data/internal_test/pcc/goedel_workbook-000110-0000-d95534410edac299.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d95534410edac299eb5e9087901ba1536e287fd94f088463a8758087fc6980cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000111.json b/manifests/batches/goedel_workbook/000111.json
index 4c1201bac8240f55cd5fba62d7c11c0bf0119565..4ae5839019b743144120f371f9c746f07c617439 100644
--- a/manifests/batches/goedel_workbook/000111.json
+++ b/manifests/batches/goedel_workbook/000111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000111",
   "batch_fingerprint": "af3ea0f42081e80ebf65b31cd8db733d453a80fb311815e949eaf590f8d5d9da",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000111-0000-eaee9875c0b057a1.parquet",
-      "sha256": "eaee9875c0b057a183bcb7d1b9b295d768b266dfa87da9fdad0671e4173e29a3",
-      "bytes": 173724,
-      "rows": 36,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000111-0000-f9b910ffc1e5da0c.parquet",
-      "sha256": "f9b910ffc1e5da0c6d27d078f746d2fb52a44f3b4252768c71c4331193476410",
-      "bytes": 40582,
-      "rows": 5,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000111-0000-2fe2c5186b500506.parquet",
-      "sha256": "2fe2c5186b50050602a01dea14f8c50629be2a96bef0f76b81921f0369958de6",
-      "bytes": 67394,
-      "rows": 13,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21670",
     "goedel_workbook:lean_workbook_21674",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002795.lean\",\"2ea9d027c58fe809bfcee9f205f0584525ebc5580be98948b9e674d74360fdc4\",0,\"lean_workbook_21744\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002796.lean\",\"f76431c199d50fb377f6ab119a7953923a0dccd42bbaa1e95dfd3a6d4c6b47fd\",0,\"lean_workbook_21745\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002797.lean\",\"8f27d25f867af731562d093fc9246e80dba9674d655cc9943e9c445d47819df1\",0,\"lean_workbook_21748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173724,
+      "path": "data/train/pe3/goedel_workbook-000111-0000-eaee9875c0b057a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "eaee9875c0b057a183bcb7d1b9b295d768b266dfa87da9fdad0671e4173e29a3"
+    },
+    {
+      "bytes": 40582,
+      "path": "data/dev/pe3/goedel_workbook-000111-0000-f9b910ffc1e5da0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f9b910ffc1e5da0c6d27d078f746d2fb52a44f3b4252768c71c4331193476410"
+    },
+    {
+      "bytes": 67394,
+      "path": "data/internal_test/pe3/goedel_workbook-000111-0000-2fe2c5186b500506.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2fe2c5186b50050602a01dea14f8c50629be2a96bef0f76b81921f0369958de6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000112.json b/manifests/batches/goedel_workbook/000112.json
index d909afebbfc1f466a7a0a7f373921650ef20667d..7870b284905f9e6b1837ec817656adbe327e2192 100644
--- a/manifests/batches/goedel_workbook/000112.json
+++ b/manifests/batches/goedel_workbook/000112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000112",
   "batch_fingerprint": "56b164bcca9f6a60a1509281d52155cf98c66048decc3ec3fdf9e96098a29a98",
   "evidence": {
@@ -244,15 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000112-0000-74fea7110dd484c2.parquet",
-      "sha256": "74fea7110dd484c2c013b5389ded9c2a4e4d0bf08c422616c86fc4d2c4d3e29e",
-      "bytes": 192451,
-      "rows": 47,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2176",
     "goedel_workbook:lean_workbook_21763",
@@ -282,5 +273,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002817.lean\",\"b95b44b9b3e29b8d5c6de45fd3f191165bc62b73b5c6043727478eca23f43a8a\",0,\"lean_workbook_21816\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002818.lean\",\"2c0e06c277bc012b76e65c4a5df25d5c57529b46949d476c4e0e41f284e39f1e\",0,\"lean_workbook_2182\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002823.lean\",\"15fc28fd694109cb7ef911bb513e18877a07993c6eb8fcef12e61d863ee717e5\",0,\"lean_workbook_21840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192451,
+      "path": "data/train/p3f/goedel_workbook-000112-0000-74fea7110dd484c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "74fea7110dd484c2c013b5389ded9c2a4e4d0bf08c422616c86fc4d2c4d3e29e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000113.json b/manifests/batches/goedel_workbook/000113.json
index 928818b2f778f45afb33b47be794cc38b570e585..48a1d16e4ffefea9081831b18fad8055685bc6e4 100644
--- a/manifests/batches/goedel_workbook/000113.json
+++ b/manifests/batches/goedel_workbook/000113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000113",
   "batch_fingerprint": "d011efa9b561edcec8df8d0a3b7c7dc4dcc9f29a65b9f72335c65ae5c0f5b755",
   "evidence": {
@@ -289,29 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000113-0000-f1eabe57b4bf457f.parquet",
-      "sha256": "f1eabe57b4bf457f5d92f3e36b19d688d9c54fb0f3bf99e144371e45ffcc6503",
-      "bytes": 92844,
-      "rows": 23,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000113-0000-475e27fa13861c43.parquet",
-      "sha256": "475e27fa13861c435ae5a1a49c80ff50f7d243bbfc23d2bd28d5ea6bf759bceb",
-      "bytes": 55753,
-      "rows": 4,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000113-0000-9bcdf1370f7d5a95.parquet",
-      "sha256": "9bcdf1370f7d5a95815d530c857cd0ee426c6f7337b6e8e5359d6f3d04fcc53e",
-      "bytes": 41960,
-      "rows": 2,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21845",
     "goedel_workbook:lean_workbook_21846",
@@ -335,5 +312,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002845.lean\",\"7d2d5501dd9edb8924ce095eb1eeae6ca85d81c33cba127b1e19874c7845ce9d\",0,\"lean_workbook_21911\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002846.lean\",\"15b4667ff09dad22d79e06f97dd64ef554ab56a83cee6fdc4676d6ce11440e51\",0,\"lean_workbook_21914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002848.lean\",\"1a4ac3a475315308a85bc99fc8058c8b844c38b872ae306e46e9eae386c5a313\",0,\"lean_workbook_21933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92844,
+      "path": "data/train/pf9/goedel_workbook-000113-0000-f1eabe57b4bf457f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f1eabe57b4bf457f5d92f3e36b19d688d9c54fb0f3bf99e144371e45ffcc6503"
+    },
+    {
+      "bytes": 55753,
+      "path": "data/dev/pf9/goedel_workbook-000113-0000-475e27fa13861c43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "475e27fa13861c435ae5a1a49c80ff50f7d243bbfc23d2bd28d5ea6bf759bceb"
+    },
+    {
+      "bytes": 41960,
+      "path": "data/internal_test/pf9/goedel_workbook-000113-0000-9bcdf1370f7d5a95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9bcdf1370f7d5a95815d530c857cd0ee426c6f7337b6e8e5359d6f3d04fcc53e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000114.json b/manifests/batches/goedel_workbook/000114.json
index 9dba7978d38f574ac294d12f5fe94a7da2c4df3e..fc1ff477184c7b63c9a416b212b1c5ef4be58f7a 100644
--- a/manifests/batches/goedel_workbook/000114.json
+++ b/manifests/batches/goedel_workbook/000114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000114",
   "batch_fingerprint": "90c4696de425f50a71942144b93e3c49da2ad2a3948b07fc8c1d103374ed989b",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000114-0000-38a4d5f6b5f7256b.parquet",
-      "sha256": "38a4d5f6b5f7256bbd4a25a1237a3e1f51fe8643a0139c3bed0f1d6ff8c5d944",
-      "bytes": 200029,
-      "rows": 36,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000114-0000-7d4da45efe8d3e95.parquet",
-      "sha256": "7d4da45efe8d3e958203208ab72756b075b27d1d37d70e1da04617f2a6039723",
-      "bytes": 37086,
-      "rows": 4,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000114-0000-e6c6f0d6c408d5a2.parquet",
-      "sha256": "e6c6f0d6c408d5a2368bec1537fe50844f68229d4ef632469f3201b1f5aa3c88",
-      "bytes": 71379,
-      "rows": 11,
-      "revision": "c3c00dc00d6f83297cd2b8b6f3eca911008fd60d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_21953",
     "goedel_workbook:lean_workbook_21963",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002871.lean\",\"e4dac486b95ecb0f3ba29f01d58b9a8a64b7dadebc3b342b932a24f4b3cae309\",0,\"lean_workbook_22060\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002872.lean\",\"cb2c67d30aa1d027be02b536c97b62d05c0b2171f68ad4a8dce7383b40058654\",0,\"lean_workbook_22067\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002874.lean\",\"482f8c220ebe0b18774abaa55723cb435d7de92d728992db8a4db2a0d0b8cd0e\",0,\"lean_workbook_22071\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200029,
+      "path": "data/train/p37/goedel_workbook-000114-0000-38a4d5f6b5f7256b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "38a4d5f6b5f7256bbd4a25a1237a3e1f51fe8643a0139c3bed0f1d6ff8c5d944"
+    },
+    {
+      "bytes": 37086,
+      "path": "data/dev/p37/goedel_workbook-000114-0000-7d4da45efe8d3e95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7d4da45efe8d3e958203208ab72756b075b27d1d37d70e1da04617f2a6039723"
+    },
+    {
+      "bytes": 71379,
+      "path": "data/internal_test/p37/goedel_workbook-000114-0000-e6c6f0d6c408d5a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e6c6f0d6c408d5a2368bec1537fe50844f68229d4ef632469f3201b1f5aa3c88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000115.json b/manifests/batches/goedel_workbook/000115.json
index baeeed92066e8beaaefbbb5d09652ced07d8af1b..a3f646cf483fc10c7e62ecf162b982fb33e7fbe1 100644
--- a/manifests/batches/goedel_workbook/000115.json
+++ b/manifests/batches/goedel_workbook/000115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000115",
   "batch_fingerprint": "fc5b97ee84b7f6ce423b70a9825bad43f900252cfe3eda6b227a43fde7694fb0",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000115-0000-8abe54f265f19daa.parquet",
-      "sha256": "8abe54f265f19daa31e9c496d5d833d02c6a1ab5b6a7fac651c9237617a3d76d",
-      "bytes": 89489,
-      "rows": 31,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000115-0000-9042c7966a9e1689.parquet",
-      "sha256": "9042c7966a9e16896a53b7ca22f1dbac98a3f1044d315e6178797689c1d28e6f",
-      "bytes": 26658,
-      "rows": 1,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22080",
     "goedel_workbook:lean_workbook_22085",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002894.lean\",\"1e11e2457c190efbbda550f8d48cdecfedb02b06066d00b77a417644ffad3d1c\",0,\"lean_workbook_22152\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002896.lean\",\"9930df41110cded478217fc414534b55f545a8a3cfd98cbbc117e705678802d1\",0,\"lean_workbook_2216\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002899.lean\",\"bdb7944a3e43d2eeba219859a0fcd69f80095aea77a8817536c6dea886e048b0\",0,\"lean_workbook_22189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89489,
+      "path": "data/train/pc5/goedel_workbook-000115-0000-8abe54f265f19daa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8abe54f265f19daa31e9c496d5d833d02c6a1ab5b6a7fac651c9237617a3d76d"
+    },
+    {
+      "bytes": 26658,
+      "path": "data/dev/pc5/goedel_workbook-000115-0000-9042c7966a9e1689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9042c7966a9e16896a53b7ca22f1dbac98a3f1044d315e6178797689c1d28e6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000116.json b/manifests/batches/goedel_workbook/000116.json
index 3200280174945e1cc78566741541710d81ec02dd..4a6a88a78b08223c4406ed289bf60652ea264a53 100644
--- a/manifests/batches/goedel_workbook/000116.json
+++ b/manifests/batches/goedel_workbook/000116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000116",
   "batch_fingerprint": "78e0806e495afe4163830a203fb5f21dee4411149c901353335caf02cc9898db",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000116-0000-4ff149331e066e69.parquet",
-      "sha256": "4ff149331e066e6941a7dfa5bfa038deeb9f63a34dd2ea9ae18303e4a8499086",
-      "bytes": 184111,
-      "rows": 33,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000116-0000-de95309252894a4f.parquet",
-      "sha256": "de95309252894a4fbad8644caeb6a4ed901c64ce6e7f93eadfaa5fa58645cc08",
-      "bytes": 23191,
-      "rows": 1,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000116-0000-a99243532a172106.parquet",
-      "sha256": "a99243532a17210680b6cc4b63bb31c1d1907a325942408c1ef3347972f44afa",
-      "bytes": 50324,
-      "rows": 8,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22190",
     "goedel_workbook:lean_workbook_22195",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002918.lean\",\"fe99c462936f0c109840a80f2cce125cb841602e07e1a92500916576b2aac1c6\",0,\"lean_workbook_22245\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002920.lean\",\"a189b6d1447afeff2675569bda5ab98311f0ae7d3ff9275397cb3de62c80d6ea\",0,\"lean_workbook_22255\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002924.lean\",\"30cc8f4e751c7c6276d4aee575c05e62ad0faf97ea08d19515d9a6b557c3330e\",0,\"lean_workbook_22269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184111,
+      "path": "data/train/pe6/goedel_workbook-000116-0000-4ff149331e066e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4ff149331e066e6941a7dfa5bfa038deeb9f63a34dd2ea9ae18303e4a8499086"
+    },
+    {
+      "bytes": 23191,
+      "path": "data/dev/pe6/goedel_workbook-000116-0000-de95309252894a4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "de95309252894a4fbad8644caeb6a4ed901c64ce6e7f93eadfaa5fa58645cc08"
+    },
+    {
+      "bytes": 50324,
+      "path": "data/internal_test/pe6/goedel_workbook-000116-0000-a99243532a172106.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a99243532a17210680b6cc4b63bb31c1d1907a325942408c1ef3347972f44afa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000117.json b/manifests/batches/goedel_workbook/000117.json
index 32f647be0c09c29bd5ac8c6ed24eb5d7ac430058..0cd21ed257d0eb9ca2f3a0a0b8d55ac6d49e5dda 100644
--- a/manifests/batches/goedel_workbook/000117.json
+++ b/manifests/batches/goedel_workbook/000117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000117",
   "batch_fingerprint": "ea53fc9055eab6d4e6dff627700e30d013b5da45aaf72cea3ce61eb02ebe3a5f",
   "evidence": {
@@ -262,29 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000117-0000-0d7f4a774a40a93a.parquet",
-      "sha256": "0d7f4a774a40a93a054e80a6098d6c6d7f8415b710d30ed754b130dbd415bdd0",
-      "bytes": 108017,
-      "rows": 27,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000117-0000-b49b27d96d7aeff9.parquet",
-      "sha256": "b49b27d96d7aeff9d159786cba894f7e4461a245ca6b6026738d9b4d7036792b",
-      "bytes": 30916,
-      "rows": 1,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000117-0000-7918a7ffdc7aa10f.parquet",
-      "sha256": "7918a7ffdc7aa10f763752671e981be2a503444e52ac9c9df31a56158f20ea89",
-      "bytes": 33678,
-      "rows": 1,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22277",
     "goedel_workbook:lean_workbook_22296",
@@ -312,5 +289,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002943.lean\",\"4bab67093e2bfc03810f04fef7f723dcb869751470e2a90af98284ba0fddc87c\",0,\"lean_workbook_22370\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002946.lean\",\"44868ef7c4af0070c0152c58e9e8aa6da82221d0cc8cd2c264c53ea47f5f50ac\",0,\"lean_workbook_22387\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002947.lean\",\"670bd9fb7452add5f7f93145fce8526f933d071874ed8c9b520fd88641b74ff8\",0,\"lean_workbook_22400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108017,
+      "path": "data/train/p8a/goedel_workbook-000117-0000-0d7f4a774a40a93a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0d7f4a774a40a93a054e80a6098d6c6d7f8415b710d30ed754b130dbd415bdd0"
+    },
+    {
+      "bytes": 30916,
+      "path": "data/dev/p8a/goedel_workbook-000117-0000-b49b27d96d7aeff9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b49b27d96d7aeff9d159786cba894f7e4461a245ca6b6026738d9b4d7036792b"
+    },
+    {
+      "bytes": 33678,
+      "path": "data/internal_test/p8a/goedel_workbook-000117-0000-7918a7ffdc7aa10f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7918a7ffdc7aa10f763752671e981be2a503444e52ac9c9df31a56158f20ea89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000118.json b/manifests/batches/goedel_workbook/000118.json
index f0be4785c7ed719f677b23b46e9a05b22f4f36c8..d5073c98a5ca2facb7051cb3751768771909037a 100644
--- a/manifests/batches/goedel_workbook/000118.json
+++ b/manifests/batches/goedel_workbook/000118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000118",
   "batch_fingerprint": "60eee79f38968c5a9d0e9edbabfaef25445d360304659d9d0de618f2afbb53bd",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000118-0000-4bf29ad0f8eab9b8.parquet",
-      "sha256": "4bf29ad0f8eab9b891241b8ab174873f4d938dadea81e14de5ac2f092f265727",
-      "bytes": 280739,
-      "rows": 45,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000118-0000-190ae2ce89028ad4.parquet",
-      "sha256": "190ae2ce89028ad4a9e8b1315373177774ac533ab6c9eb6a4ab50fbdb9c00c54",
-      "bytes": 76757,
-      "rows": 3,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000118-0000-8d424b673cfec8bc.parquet",
-      "sha256": "8d424b673cfec8bcef9ae8d05fbee1780d0fc40707a7243a80d868f7fe0d810f",
-      "bytes": 46889,
-      "rows": 5,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22422",
     "goedel_workbook:lean_workbook_22423",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002971.lean\",\"d29a83f7a9e8afc7f4fa7cf94405556587b3905716a567ba694344124c526b59\",0,\"lean_workbook_22497\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002973.lean\",\"8fa3d8eb5073153eb0605e9ac01cb04444dba21a5564cc43d2819e9da65fe4c2\",0,\"lean_workbook_22505\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002974.lean\",\"f62cab4db5c11348e6efd63f5dd0f3179dd31efd9ba6db50405d632743c9f522\",0,\"lean_workbook_22507\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280739,
+      "path": "data/train/p7d/goedel_workbook-000118-0000-4bf29ad0f8eab9b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "4bf29ad0f8eab9b891241b8ab174873f4d938dadea81e14de5ac2f092f265727"
+    },
+    {
+      "bytes": 76757,
+      "path": "data/dev/p7d/goedel_workbook-000118-0000-190ae2ce89028ad4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "190ae2ce89028ad4a9e8b1315373177774ac533ab6c9eb6a4ab50fbdb9c00c54"
+    },
+    {
+      "bytes": 46889,
+      "path": "data/internal_test/p7d/goedel_workbook-000118-0000-8d424b673cfec8bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8d424b673cfec8bcef9ae8d05fbee1780d0fc40707a7243a80d868f7fe0d810f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000119.json b/manifests/batches/goedel_workbook/000119.json
index cfb88746d0d8880fd8a5c5481250ecf496918471..e12c2f890e4d1e8b44f555de05fda545b7a6603c 100644
--- a/manifests/batches/goedel_workbook/000119.json
+++ b/manifests/batches/goedel_workbook/000119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000119",
   "batch_fingerprint": "decc46b99c7e103894cd1e88c87466ff435642a6f3832d97b8530d8a5403f6fc",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000119-0000-32a8c0a4d2ccf22b.parquet",
-      "sha256": "32a8c0a4d2ccf22b7cee7e70d493deb6d4e09b779cfe5bf335cd9304c274ca07",
-      "bytes": 252673,
-      "rows": 53,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000119-0000-7b1d85da789251e3.parquet",
-      "sha256": "7b1d85da789251e37c0ec423d4bb9d5e454baa0203383552492829476c5fef22",
-      "bytes": 45476,
-      "rows": 6,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22508",
     "goedel_workbook:lean_workbook_22509",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002997.lean\",\"11f8a7ab6461441bfac2d5d611fe3f674eda0e4a759770b80aed29a9939509bd\",0,\"lean_workbook_22580\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002998.lean\",\"472c1039e405a30c1b1f8c5c0998e698fcfaa9b8bf4930d3634121b972b5d240\",0,\"lean_workbook_22581\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_002999.lean\",\"1c4d98b064260d39810edccba6d2d46ca6af0fa0550be41b2fb4ba3d832fa709\",0,\"lean_workbook_22583\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252673,
+      "path": "data/train/p8f/goedel_workbook-000119-0000-32a8c0a4d2ccf22b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "32a8c0a4d2ccf22b7cee7e70d493deb6d4e09b779cfe5bf335cd9304c274ca07"
+    },
+    {
+      "bytes": 45476,
+      "path": "data/internal_test/p8f/goedel_workbook-000119-0000-7b1d85da789251e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7b1d85da789251e37c0ec423d4bb9d5e454baa0203383552492829476c5fef22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000120.json b/manifests/batches/goedel_workbook/000120.json
index 6bf8aa7ddba3276cbe8ba3ee760e93a4f92dcb85..a1bab46e846f8789af8b594b708eace042edc286 100644
--- a/manifests/batches/goedel_workbook/000120.json
+++ b/manifests/batches/goedel_workbook/000120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000120",
   "batch_fingerprint": "432b6cbf42dbaff4ccd1a56bd9b84f149c576cf78e8c66ca9afeac2c9804d44d",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000120-0000-7596f3a64f98ea3f.parquet",
-      "sha256": "7596f3a64f98ea3f0af3a9d74f8618b2997b16f0fdfc4890a59310230ed88140",
-      "bytes": 200780,
-      "rows": 42,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22598",
     "goedel_workbook:lean_workbook_2260",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003018.lean\",\"14e27ddfb50ab85c8f9e4ee93665c2cf06d66d5a92fd36c7b2113e844d625e35\",0,\"lean_workbook_22641\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003023.lean\",\"f9d549fb364902637ab2ea8cc61451f5f367b5ac89dd812110bd0d76a42d003f\",0,\"lean_workbook_22673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003024.lean\",\"f7ce2999d053a834486c523bfc0cfaf5ea04e984ce517ec9bbda24b607da2120\",0,\"lean_workbook_22683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200780,
+      "path": "data/train/p35/goedel_workbook-000120-0000-7596f3a64f98ea3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "7596f3a64f98ea3f0af3a9d74f8618b2997b16f0fdfc4890a59310230ed88140"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000121.json b/manifests/batches/goedel_workbook/000121.json
index 272d33134907836b4833a84a6c4770e3c52e6b77..f81bc3b21e274ff6f9c071c1f70581e50b0b2c63 100644
--- a/manifests/batches/goedel_workbook/000121.json
+++ b/manifests/batches/goedel_workbook/000121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000121",
   "batch_fingerprint": "ba79a1edf5ee5e5397a6d1e72c57bde663e0635e8ac8e62868e2f2c6a808954a",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000121-0000-7acb1c41e3bc2faf.parquet",
-      "sha256": "7acb1c41e3bc2fafa82867a963b2f5e074e8feac403533dec92427a559e59686",
-      "bytes": 101794,
-      "rows": 29,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000121-0000-7cd409f08f8739ad.parquet",
-      "sha256": "7cd409f08f8739ad70f3fe1bea347ce42aaab56560c41c1a37e31dd9be6984ef",
-      "bytes": 39203,
-      "rows": 2,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22685",
     "goedel_workbook:lean_workbook_22701",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003045.lean\",\"eb55cc49706b24acf4f71804041ad877f8bdd01c837ae25c7cd35df3016b2b90\",0,\"lean_workbook_22766\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003047.lean\",\"3feb7391945a0476945102eca646a287ffe6264120c50ac6aaf3c148c3215c36\",0,\"lean_workbook_22773\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003049.lean\",\"aca6a4c7129b0acb917f5356e34d68c04f6041f2ab72019ca72d7d8ecbbd3be6\",0,\"lean_workbook_22776\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101794,
+      "path": "data/train/p1d/goedel_workbook-000121-0000-7acb1c41e3bc2faf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7acb1c41e3bc2fafa82867a963b2f5e074e8feac403533dec92427a559e59686"
+    },
+    {
+      "bytes": 39203,
+      "path": "data/dev/p1d/goedel_workbook-000121-0000-7cd409f08f8739ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cd409f08f8739ad70f3fe1bea347ce42aaab56560c41c1a37e31dd9be6984ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000122.json b/manifests/batches/goedel_workbook/000122.json
index f43569545d53343ff842da7562fffff03efaf683..477052f187b9df9aa64ab53e043e0c52e645f3e3 100644
--- a/manifests/batches/goedel_workbook/000122.json
+++ b/manifests/batches/goedel_workbook/000122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000122",
   "batch_fingerprint": "3788811b91d60dbc6448a0fb854b27233f3053bf4b9624e5b16cd89ee0248560",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000122-0000-1027fbebfb2e9f51.parquet",
-      "sha256": "1027fbebfb2e9f5199453c5dc1366acd88ae5689335f8b3bb0ba26d75b66d743",
-      "bytes": 90730,
-      "rows": 24,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000122-0000-805ca5846d472ba9.parquet",
-      "sha256": "805ca5846d472ba94a9f38a2814706b432d03a841de1d994db88d00059ea5b0a",
-      "bytes": 38768,
-      "rows": 1,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000122-0000-8c1ada5d0124c880.parquet",
-      "sha256": "8c1ada5d0124c8808078a30f73e27a28968aada6ca0cd8db5f73ba1a831ecd21",
-      "bytes": 76710,
-      "rows": 14,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22777",
     "goedel_workbook:lean_workbook_22781",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003072.lean\",\"3a3e125f000bc8d5f191f394d566d2de3aa56c0ffd612f44c7478a665e3bbe43\",0,\"lean_workbook_22869\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003073.lean\",\"b250754813c63fe8e52ef61aea4d0afefb53902c373b8d6c664f900e790171ca\",0,\"lean_workbook_22870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003074.lean\",\"7f3835564c11008db8d4cf2c1c7abed625dc90dd3bd1808fe06083c20f3ddaf8\",0,\"lean_workbook_22873\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90730,
+      "path": "data/train/p44/goedel_workbook-000122-0000-1027fbebfb2e9f51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "1027fbebfb2e9f5199453c5dc1366acd88ae5689335f8b3bb0ba26d75b66d743"
+    },
+    {
+      "bytes": 38768,
+      "path": "data/dev/p44/goedel_workbook-000122-0000-805ca5846d472ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "805ca5846d472ba94a9f38a2814706b432d03a841de1d994db88d00059ea5b0a"
+    },
+    {
+      "bytes": 76710,
+      "path": "data/internal_test/p44/goedel_workbook-000122-0000-8c1ada5d0124c880.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8c1ada5d0124c8808078a30f73e27a28968aada6ca0cd8db5f73ba1a831ecd21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000123.json b/manifests/batches/goedel_workbook/000123.json
index 96a7343ed5b1de786d0e5b9e8afd1f03a699d439..26cfabc6df4bdc0dc03a18e4477c7a1392ca8897 100644
--- a/manifests/batches/goedel_workbook/000123.json
+++ b/manifests/batches/goedel_workbook/000123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000123",
   "batch_fingerprint": "017873fe3b0d2bf277a203786df0ca5e99383d510205af9be2337e4674e912f7",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000123-0000-3af08867684c7d45.parquet",
-      "sha256": "3af08867684c7d45e16e3f67b216dea2f86523944beb74f5c3d8c3657b90bc48",
-      "bytes": 153047,
-      "rows": 33,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000123-0000-91fff3b0f42920c6.parquet",
-      "sha256": "91fff3b0f42920c62c79b6af8d71563ef312ed7559c8308d3120d3490673f706",
-      "bytes": 89598,
-      "rows": 20,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22878",
     "goedel_workbook:lean_workbook_22880",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003095.lean\",\"f385c7978fd48384e1763289159b575d1ce94a0aade3237305b6d2ab7f19b48e\",0,\"lean_workbook_22974\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003096.lean\",\"779fd2e4e884a0905430ebb7dc115074682da3bdad39d264fc3a805f2edd8d64\",0,\"lean_workbook_22975\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003097.lean\",\"74fdc163c3759389a96bffafeaea4a52f3c01cd2e41ce26200f81aadc2bdcf08\",0,\"lean_workbook_22982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153047,
+      "path": "data/train/pa7/goedel_workbook-000123-0000-3af08867684c7d45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3af08867684c7d45e16e3f67b216dea2f86523944beb74f5c3d8c3657b90bc48"
+    },
+    {
+      "bytes": 89598,
+      "path": "data/internal_test/pa7/goedel_workbook-000123-0000-91fff3b0f42920c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "91fff3b0f42920c62c79b6af8d71563ef312ed7559c8308d3120d3490673f706"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000124.json b/manifests/batches/goedel_workbook/000124.json
index 9342fbc89766338eb396b8ca44d1bf533c2c1b32..886f7c6d5e9e2cdb52a6ba08d62428895efdd27b 100644
--- a/manifests/batches/goedel_workbook/000124.json
+++ b/manifests/batches/goedel_workbook/000124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000124",
   "batch_fingerprint": "d0724f4cb86afc97f15f69d0a43beae54399ba7a02b9f6e7f54e2d791520ef9b",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000124-0000-4ce4c48dcf19db79.parquet",
-      "sha256": "4ce4c48dcf19db794cd789e1b5bc8145cee7b4f9b04f558e5f761d60c204503f",
-      "bytes": 118464,
-      "rows": 25,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000124-0000-f7648982f05d1970.parquet",
-      "sha256": "f7648982f05d1970eed1959ab8e1a8e666b5eebdf552df18275446e43a484350",
-      "bytes": 30680,
-      "rows": 1,
-      "revision": "deda8b8706468f1013607d395ec0e16e9adc0503"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_22998",
     "goedel_workbook:lean_workbook_22999",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003121.lean\",\"864f018b047f43d4dd053206c8b713894ea09a872e842b85a0ad3f9388cb7571\",0,\"lean_workbook_2305\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003122.lean\",\"8d030808a13fdca72e8d5c73100e30104f163659c78aee58413144addc4a0b7d\",0,\"lean_workbook_23056\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003124.lean\",\"b09eece3a8ba3e46e409184e9c8b6465679708c07462eb0eae0aa5db780c6d8c\",0,\"lean_workbook_2306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118464,
+      "path": "data/train/pd9/goedel_workbook-000124-0000-4ce4c48dcf19db79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4ce4c48dcf19db794cd789e1b5bc8145cee7b4f9b04f558e5f761d60c204503f"
+    },
+    {
+      "bytes": 30680,
+      "path": "data/dev/pd9/goedel_workbook-000124-0000-f7648982f05d1970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f7648982f05d1970eed1959ab8e1a8e666b5eebdf552df18275446e43a484350"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000125.json b/manifests/batches/goedel_workbook/000125.json
index 6458d1e15f87156eda0f3fef5e5fe7adf975c0f2..8e33c5cdd2b7a7a1092ab0cf2a18aea99c05e91b 100644
--- a/manifests/batches/goedel_workbook/000125.json
+++ b/manifests/batches/goedel_workbook/000125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000125",
   "batch_fingerprint": "8c85518f7dc11109a534277b5ace29db921f7d18e8f561e1391a0c288a311189",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000125-0000-9b4f2b41b3d737cb.parquet",
-      "sha256": "9b4f2b41b3d737cb0cff43563d421294be6df465c8bb3e09858fe0fad07d9ecf",
-      "bytes": 162126,
-      "rows": 34,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23061",
     "goedel_workbook:lean_workbook_23066",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003142.lean\",\"8ea2bcc9a33a79750efc96dc0ba15549b7dfb73e51febc5cf8704fe3e0794117\",0,\"lean_workbook_2312\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003148.lean\",\"ec535034efdaf806e817b65f42b951ad456e539cd3b5c2d11849247cc2ad13e1\",0,\"lean_workbook_23154\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003149.lean\",\"df8714db5b8f073fee7b8f4876d4c467d62efb6cbb8ef9b953e507e163fa4096\",0,\"lean_workbook_23161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162126,
+      "path": "data/train/p54/goedel_workbook-000125-0000-9b4f2b41b3d737cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "9b4f2b41b3d737cb0cff43563d421294be6df465c8bb3e09858fe0fad07d9ecf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000126.json b/manifests/batches/goedel_workbook/000126.json
index fa076db4cbf08e637a7b408411d26dab052a07ed..55b1ff359053d5932d71ba55de885a09547d3b2b 100644
--- a/manifests/batches/goedel_workbook/000126.json
+++ b/manifests/batches/goedel_workbook/000126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000126",
   "batch_fingerprint": "a10f1eb037496e49ace30e142c46d3c842d1e796423032bb76056ea76e014842",
   "evidence": {
@@ -298,15 +297,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000126-0000-af9606c3341a5989.parquet",
-      "sha256": "af9606c3341a5989a6e323f3e3ac15b23b5247a7a530e057aa36e673a717fe04",
-      "bytes": 98886,
-      "rows": 19,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2317",
     "goedel_workbook:lean_workbook_23170",
@@ -330,5 +321,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003164.lean\",\"516e593733170114b23dffd17e94b2d7e8bf9c4c8e30143240a1a5a620ccdc18\",0,\"lean_workbook_23246\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003166.lean\",\"7b43cb3fe53d35ec49ddfc9cac357a1335b731ffa8f993013d21683cde14e96d\",0,\"lean_workbook_23264\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003168.lean\",\"48b8c6442c7e2aa0cfde49f332ecab69e43ee90bfaf5952b4a8ccc3eaa387c3f\",0,\"lean_workbook_23271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98886,
+      "path": "data/train/pc5/goedel_workbook-000126-0000-af9606c3341a5989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "af9606c3341a5989a6e323f3e3ac15b23b5247a7a530e057aa36e673a717fe04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000127.json b/manifests/batches/goedel_workbook/000127.json
index 0c2160ec9d5243bc5217f90ec8c601948c786560..3a9146549f0d74d710e2a13f4386de453cea32dc 100644
--- a/manifests/batches/goedel_workbook/000127.json
+++ b/manifests/batches/goedel_workbook/000127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000127",
   "batch_fingerprint": "02acdc9cd771bb5151de3c188e9e51cd53d0d50211eeffee5b00ed7c69a5d149",
   "evidence": {
@@ -244,15 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000127-0000-5f266dc7c42bc141.parquet",
-      "sha256": "5f266dc7c42bc141592d7b7fa0c676cedbafb6f64f38a039b51ce4fae3d1b487",
-      "bytes": 153329,
-      "rows": 35,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23297",
     "goedel_workbook:lean_workbook_23302",
@@ -282,5 +273,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003190.lean\",\"6bb8b91cd44c9fa819f5706d98abf9145c9092420829e4077756e47b5d74af31\",0,\"lean_workbook_23360\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003193.lean\",\"e757b526a637a3efc088a58b3b5e83d926b2ad79ff8071c5c1bc07fd72fa1868\",0,\"lean_workbook_23365\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003199.lean\",\"72f23f0f708439dd9c4b3f38fd3bf70387cccdede7e3d568205b01564b48aa7f\",0,\"lean_workbook_23384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153329,
+      "path": "data/train/pa9/goedel_workbook-000127-0000-5f266dc7c42bc141.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "5f266dc7c42bc141592d7b7fa0c676cedbafb6f64f38a039b51ce4fae3d1b487"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000128.json b/manifests/batches/goedel_workbook/000128.json
index ab68f6c09109f4c1a408bf69292abeab20af1f6a..4c285fbfc22cf24d9c130b004e86b3a49df4ea82 100644
--- a/manifests/batches/goedel_workbook/000128.json
+++ b/manifests/batches/goedel_workbook/000128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000128",
   "batch_fingerprint": "7e860c15eb48aeedeecff410ac16e8296b85912f2c39b6a90c7906512039de32",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000128-0000-4f986043dc0ea4d7.parquet",
-      "sha256": "4f986043dc0ea4d785b5aaba180cc0ddaa29bdcd1d64336ca281847a87e85cf3",
-      "bytes": 130650,
-      "rows": 24,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000128-0000-1aa9c9c447958a20.parquet",
-      "sha256": "1aa9c9c447958a207154a8c21df85747df8189cfca7b9eb24a92f3257825a3e0",
-      "bytes": 43839,
-      "rows": 5,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000128-0000-387acfc1838b430a.parquet",
-      "sha256": "387acfc1838b430a75f23cb2b11dd88634c1ae0b6b43780d736a20c1b7593c61",
-      "bytes": 30839,
-      "rows": 3,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23385",
     "goedel_workbook:lean_workbook_23386",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003219.lean\",\"23b52795dda3bf72d9f34d57b241dbe1dd983d3bebad9cc39740852d01dd9dff\",0,\"lean_workbook_23466\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003223.lean\",\"05c14998bc4d9c57c9c392e0866e7ebbdd6f15afc1a3a7eb86b226658e6fda36\",0,\"lean_workbook_23473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003224.lean\",\"98782eb9f79f62e8e114fb35370e768bdd28dfe7696347d601798aadeb45026a\",0,\"lean_workbook_23475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130650,
+      "path": "data/train/p3e/goedel_workbook-000128-0000-4f986043dc0ea4d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "4f986043dc0ea4d785b5aaba180cc0ddaa29bdcd1d64336ca281847a87e85cf3"
+    },
+    {
+      "bytes": 43839,
+      "path": "data/dev/p3e/goedel_workbook-000128-0000-1aa9c9c447958a20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1aa9c9c447958a207154a8c21df85747df8189cfca7b9eb24a92f3257825a3e0"
+    },
+    {
+      "bytes": 30839,
+      "path": "data/internal_test/p3e/goedel_workbook-000128-0000-387acfc1838b430a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "387acfc1838b430a75f23cb2b11dd88634c1ae0b6b43780d736a20c1b7593c61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000129.json b/manifests/batches/goedel_workbook/000129.json
index 0deba539a27b2e843c34e44cf91b5939153c2ade..ac76c04bb7b11d7e8b9bb91717d55cdc4f9eb5c9 100644
--- a/manifests/batches/goedel_workbook/000129.json
+++ b/manifests/batches/goedel_workbook/000129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000129",
   "batch_fingerprint": "bd31d5ec48f5664d2561297aed4f93d9d65f98af13e198fa65d39a7dfe591a0c",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000129-0000-a27ca1eeebddd29d.parquet",
-      "sha256": "a27ca1eeebddd29d3fad6bb95ce49d1f58c2bed3a81f8cdd0b157e6222d3cb7f",
-      "bytes": 315246,
-      "rows": 39,
-      "revision": "c1e349edca3229da13c71db5ce83b883b298d245"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000129-0000-36202ccba5241a61.parquet",
-      "sha256": "36202ccba5241a619da403559b0d77e37db58bd4accc1ac0f2238d69d31f443f",
-      "bytes": 34063,
-      "rows": 2,
-      "revision": "c1e349edca3229da13c71db5ce83b883b298d245"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000129-0000-885e2f59bbc8411f.parquet",
-      "sha256": "885e2f59bbc8411fa50c1d5825d6929c81c70ffef9f19eeb3d11eac23111e617",
-      "bytes": 33677,
-      "rows": 1,
-      "revision": "c1e349edca3229da13c71db5ce83b883b298d245"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2349",
     "goedel_workbook:lean_workbook_23505",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003246.lean\",\"c396a2e3627cbc272b8af6373790eb7488caba92ec9071ceb2273028c665a9f9\",0,\"lean_workbook_23569\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003248.lean\",\"c8ecfdd1d270ef5a263afa0ef78af42820745755cbbf0bd1f228a8d5af8a0f1c\",0,\"lean_workbook_23578\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003249.lean\",\"9ebd111daaff461949f59bb82393642075357343d2f352e64b5816be9be48c84\",0,\"lean_workbook_2358\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315246,
+      "path": "data/train/p68/goedel_workbook-000129-0000-a27ca1eeebddd29d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "a27ca1eeebddd29d3fad6bb95ce49d1f58c2bed3a81f8cdd0b157e6222d3cb7f"
+    },
+    {
+      "bytes": 34063,
+      "path": "data/dev/p68/goedel_workbook-000129-0000-36202ccba5241a61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36202ccba5241a619da403559b0d77e37db58bd4accc1ac0f2238d69d31f443f"
+    },
+    {
+      "bytes": 33677,
+      "path": "data/internal_test/p68/goedel_workbook-000129-0000-885e2f59bbc8411f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "885e2f59bbc8411fa50c1d5825d6929c81c70ffef9f19eeb3d11eac23111e617"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000130.json b/manifests/batches/goedel_workbook/000130.json
index bf0c0ae31e3f6bdfdc21a80218af2bc83db477ec..cbd75d41e4166b289a7a76974ebf3b7212ed96f7 100644
--- a/manifests/batches/goedel_workbook/000130.json
+++ b/manifests/batches/goedel_workbook/000130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000130",
   "batch_fingerprint": "4ad2947ff5121304511b13d771e11cd281e9e4e5683316c3d9960d9f0bdd9bc4",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000130-0000-fda18fd4cfa04c65.parquet",
-      "sha256": "fda18fd4cfa04c65f68a704452cbd786f398a88f7b6d8838def187b69dda3269",
-      "bytes": 164778,
-      "rows": 42,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000130-0000-ff6a9c41fe9010fd.parquet",
-      "sha256": "ff6a9c41fe9010fd0a01c68d8e20f42987e7934c50d64cac8a5bea42ffb55a9b",
-      "bytes": 77890,
-      "rows": 11,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23582",
     "goedel_workbook:lean_workbook_23584",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003269.lean\",\"fb5b23f7bbca09c2856004d19c4e2b7b9325359e35e0f4cff5ca18023c8ac179\",0,\"lean_workbook_23650\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003271.lean\",\"87d03e7e0ec65dc6e2f415b78a2e1adf7588bcdad488767ea4307496c6d8eb77\",0,\"lean_workbook_23655\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003273.lean\",\"d9519282323bf5e3ded7c511feb3ea33e233cb3170f9c0a5497a98971b1ce896\",0,\"lean_workbook_23663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164778,
+      "path": "data/train/p00/goedel_workbook-000130-0000-fda18fd4cfa04c65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "fda18fd4cfa04c65f68a704452cbd786f398a88f7b6d8838def187b69dda3269"
+    },
+    {
+      "bytes": 77890,
+      "path": "data/internal_test/p00/goedel_workbook-000130-0000-ff6a9c41fe9010fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ff6a9c41fe9010fd0a01c68d8e20f42987e7934c50d64cac8a5bea42ffb55a9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000131.json b/manifests/batches/goedel_workbook/000131.json
index 67a4a7c82f6a4877e2ae9538df1e8adf6dc7227a..b367a5e93893446fd2b1aaec7f32d996eb96939a 100644
--- a/manifests/batches/goedel_workbook/000131.json
+++ b/manifests/batches/goedel_workbook/000131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000131",
   "batch_fingerprint": "2315711321496296828abe119f39920a1e88c767ab827b702909730269bc8aef",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000131-0000-616cb97e2b96f104.parquet",
-      "sha256": "616cb97e2b96f104d1622e72438d0e41ec024c70aeaa68971ee4fffc0a5feb8b",
-      "bytes": 114797,
-      "rows": 26,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000131-0000-ca511c2a4ebd6daa.parquet",
-      "sha256": "ca511c2a4ebd6daac204aed1dfdb3a895f53e77c053fd5844b6d02e920f1a7dc",
-      "bytes": 28975,
-      "rows": 1,
-      "revision": "c1638c665166bd23d7a7c5658d3dbfb7d2d4be33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23684",
     "goedel_workbook:lean_workbook_23692",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003292.lean\",\"839463d7d693a843313326b69f718acba660fb74a4e754d6a56e79ba1e502fbf\",0,\"lean_workbook_23744\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003296.lean\",\"67349848ebd525b082954f913718e0dd7b6e81bb3dedbdec7141e1ec5ffc0743\",0,\"lean_workbook_23752\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003299.lean\",\"dae71aee1873cdbe5ff806640a90f855610bc18600d7e826ce75cf2086e8c85d\",0,\"lean_workbook_23775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114797,
+      "path": "data/train/p12/goedel_workbook-000131-0000-616cb97e2b96f104.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "616cb97e2b96f104d1622e72438d0e41ec024c70aeaa68971ee4fffc0a5feb8b"
+    },
+    {
+      "bytes": 28975,
+      "path": "data/internal_test/p12/goedel_workbook-000131-0000-ca511c2a4ebd6daa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ca511c2a4ebd6daac204aed1dfdb3a895f53e77c053fd5844b6d02e920f1a7dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000132.json b/manifests/batches/goedel_workbook/000132.json
index 12725fbb070aa674c6c7d38cc6f294f501d7046b..e37a2c68186dc92c13e57cd3374839f1f64a440d 100644
--- a/manifests/batches/goedel_workbook/000132.json
+++ b/manifests/batches/goedel_workbook/000132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000132",
   "batch_fingerprint": "2e228d10f42823b1c2ab0ab13455c18b908b08ec28bb05e3b21a9d544418563e",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000132-0000-cbc618fb712b4a1b.parquet",
-      "sha256": "cbc618fb712b4a1b64db7c2738b8c1ce358151b54f6ebca4aab7162169f1c33f",
-      "bytes": 188057,
-      "rows": 50,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000132-0000-29d31a86d6bf7513.parquet",
-      "sha256": "29d31a86d6bf7513ac32c8930952dc9a7bb5f9da54b0d113e78e6accd55ccac1",
-      "bytes": 31657,
-      "rows": 2,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23782",
     "goedel_workbook:lean_workbook_23784",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003319.lean\",\"e3932048c7d960da7a87d1a02b81123f6f97e0b303483263523efd31e4d43136\",0,\"lean_workbook_23850\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003321.lean\",\"c1e372e33d2c32bf1d2d6c53a3b194f45f527e1ffee8160a7a675b0c6ae29f36\",0,\"lean_workbook_23856\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003322.lean\",\"7e26bba2506da1eb6022428a6e98997cda4246c516f004c4900b287ffac64013\",0,\"lean_workbook_23857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188057,
+      "path": "data/train/p69/goedel_workbook-000132-0000-cbc618fb712b4a1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "cbc618fb712b4a1b64db7c2738b8c1ce358151b54f6ebca4aab7162169f1c33f"
+    },
+    {
+      "bytes": 31657,
+      "path": "data/internal_test/p69/goedel_workbook-000132-0000-29d31a86d6bf7513.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29d31a86d6bf7513ac32c8930952dc9a7bb5f9da54b0d113e78e6accd55ccac1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000133.json b/manifests/batches/goedel_workbook/000133.json
index 8192ba37464bace5e1962859d0f53913001af399..e54bbc08ef9adc2f3b8d901c3b2a2279eeb54573 100644
--- a/manifests/batches/goedel_workbook/000133.json
+++ b/manifests/batches/goedel_workbook/000133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000133",
   "batch_fingerprint": "64337c3c6f6d37a07275848a2c33c9f25f2ab8b55ab7fc55e618b39cec96cfd1",
   "evidence": {
@@ -227,22 +226,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000133-0000-b68246d9e2ea7eb7.parquet",
-      "sha256": "b68246d9e2ea7eb72ee530b31049206c868185eef2a8e7ea55384d2cefc97fcb",
-      "bytes": 213843,
-      "rows": 36,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000133-0000-9fd48a7bd483fbe0.parquet",
-      "sha256": "9fd48a7bd483fbe03b42809f6ab193de31c0e44b948959290dbd0da44ac6b844",
-      "bytes": 55952,
-      "rows": 13,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_23864",
     "goedel_workbook:lean_workbook_23887",
@@ -274,5 +258,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003347.lean\",\"3b388f3337452f2acb13fbaa179fc41f197881818dd02962ebe6272ee7dee8c4\",0,\"lean_workbook_23961\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003348.lean\",\"44873875f5455373eeea47bab218e26cf09c9fda03a0db7ed94ab55de2e95722\",0,\"lean_workbook_23962\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003349.lean\",\"b86b3952de1a79d87bd7303e6057ef1488fb3985345942ec67bd274ebf78f37f\",0,\"lean_workbook_23983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213843,
+      "path": "data/train/pf0/goedel_workbook-000133-0000-b68246d9e2ea7eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b68246d9e2ea7eb72ee530b31049206c868185eef2a8e7ea55384d2cefc97fcb"
+    },
+    {
+      "bytes": 55952,
+      "path": "data/internal_test/pf0/goedel_workbook-000133-0000-9fd48a7bd483fbe0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9fd48a7bd483fbe03b42809f6ab193de31c0e44b948959290dbd0da44ac6b844"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000134.json b/manifests/batches/goedel_workbook/000134.json
index ab2e63968a69f45a38b3307482edaff1e939eef4..33bac9fb194b3904052173608b157501fbbfaeb0 100644
--- a/manifests/batches/goedel_workbook/000134.json
+++ b/manifests/batches/goedel_workbook/000134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000134",
   "batch_fingerprint": "daa9e7601fd73c2e4267b3404855308a51ada9555cba1df8f4a211676f000dbd",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000134-0000-6d94c83798ce8d0d.parquet",
-      "sha256": "6d94c83798ce8d0da3676183732d4b15e55b5096df82058860f230653f317587",
-      "bytes": 77611,
-      "rows": 24,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000134-0000-358911a1d92c916e.parquet",
-      "sha256": "358911a1d92c916e69188b4e1d4f48a6dc003047e012f23078554bfca694d6b2",
-      "bytes": 64981,
-      "rows": 14,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2400",
     "goedel_workbook:lean_workbook_24006",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003372.lean\",\"5f89ab956712738265de962d338b2c61076efca3a0684efb3c16aa36bcbe0270\",0,\"lean_workbook_24075\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003373.lean\",\"03303bdfa7a6f1bd64f6fbba3f8cc5e7a0944e9a36be590473ebf3d69f5d57e3\",0,\"lean_workbook_24076\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003374.lean\",\"e96051d3b70bfb52930dbc58db9604d8d3c8cecfc09fb75130666635420e5d9c\",0,\"lean_workbook_24078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77611,
+      "path": "data/train/p09/goedel_workbook-000134-0000-6d94c83798ce8d0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6d94c83798ce8d0da3676183732d4b15e55b5096df82058860f230653f317587"
+    },
+    {
+      "bytes": 64981,
+      "path": "data/internal_test/p09/goedel_workbook-000134-0000-358911a1d92c916e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "358911a1d92c916e69188b4e1d4f48a6dc003047e012f23078554bfca694d6b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000135.json b/manifests/batches/goedel_workbook/000135.json
index dd462cd69bfab3d7cbff882847672293b6937835..b7eaf7a1280b78a7bd24d12c3c607ee3f830898b 100644
--- a/manifests/batches/goedel_workbook/000135.json
+++ b/manifests/batches/goedel_workbook/000135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000135",
   "batch_fingerprint": "983a019853b6c6ea9c25b3db78ba48bed8d5ac657ad7f862195bccb90dd40b3b",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000135-0000-1155229fb28347ac.parquet",
-      "sha256": "1155229fb28347acca9f22cfb2758f3af7311299991fe1a07112c46d5790ea58",
-      "bytes": 237225,
-      "rows": 46,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000135-0000-addc8ccb67692771.parquet",
-      "sha256": "addc8ccb676927719efa83dbc81f0099378b8153929e1377e4e64096bcba8a74",
-      "bytes": 52166,
-      "rows": 5,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24087",
     "goedel_workbook:lean_workbook_24096",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003397.lean\",\"1e9e4945ce214c9ba45c8070aa8e6858bcc645935726bc8359604fcf0a7cd343\",0,\"lean_workbook_24176\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003398.lean\",\"a65eb6dca6a065f383065d8264ed742e6329a19ed285e08e66a6ee87c1637a35\",0,\"lean_workbook_24177\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003399.lean\",\"38a33531c530ce6aefbe77019bfcbb40ef20cb48b030387cc271f4afb6de5210\",0,\"lean_workbook_24179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237225,
+      "path": "data/train/pc5/goedel_workbook-000135-0000-1155229fb28347ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "1155229fb28347acca9f22cfb2758f3af7311299991fe1a07112c46d5790ea58"
+    },
+    {
+      "bytes": 52166,
+      "path": "data/dev/pc5/goedel_workbook-000135-0000-addc8ccb67692771.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "addc8ccb676927719efa83dbc81f0099378b8153929e1377e4e64096bcba8a74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000136.json b/manifests/batches/goedel_workbook/000136.json
index 0822123dba4509df160728df36299eb810c6781a..a1977dcaec53654000f9a4c136cb3bcade8fc103 100644
--- a/manifests/batches/goedel_workbook/000136.json
+++ b/manifests/batches/goedel_workbook/000136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000136",
   "batch_fingerprint": "efdebf9ec3d29555c2387471e2f99ee145f8413f488a22fea5a66c62752d6452",
   "evidence": {
@@ -172,36 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000136-0000-d5c0ec995c1389ee.parquet",
-      "sha256": "d5c0ec995c1389ee10af1dab3fecbc8ddd97510a6a5c7267e4376771ad0fa780",
-      "bytes": 101373,
-      "rows": 31,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000136-0000-a13343cd5e1c4288.parquet",
-      "sha256": "a13343cd5e1c4288f0a92b4f89803ad19b583983455422bcf400355ef1ab6bd6",
-      "bytes": 65821,
-      "rows": 11,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000136-0000-69992f7a32e2bab5.parquet",
-      "sha256": "69992f7a32e2bab569af588368b8cf0bb9f69d3889c06018d48ac6e4959f0992",
-      "bytes": 47659,
-      "rows": 5,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000136-0000-5e06ad74bf543794.parquet",
-      "sha256": "5e06ad74bf543794f3ab24a8bbc30a901eb6d527514d877675dca00d962ebeca",
-      "bytes": 42842,
-      "rows": 4,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2418",
     "goedel_workbook:lean_workbook_24180",
@@ -239,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003420.lean\",\"fa62d4679010ac972b46a7def12c0c4935ca6beb36d2f48309f33d741e23fa68\",0,\"lean_workbook_24245\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003423.lean\",\"69f93002b7ee75fba56ba11503e9c4713f59f7434539c1cf624047321e27e254\",0,\"lean_workbook_24261\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003424.lean\",\"25cc28481570122e441db62a1bf8b1c3a70f7d3b03fc6d863fd78c6e687bcc06\",0,\"lean_workbook_2427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101373,
+      "path": "data/train/p26/goedel_workbook-000136-0000-d5c0ec995c1389ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d5c0ec995c1389ee10af1dab3fecbc8ddd97510a6a5c7267e4376771ad0fa780"
+    },
+    {
+      "bytes": 65821,
+      "path": "data/dev/p26/goedel_workbook-000136-0000-a13343cd5e1c4288.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a13343cd5e1c4288f0a92b4f89803ad19b583983455422bcf400355ef1ab6bd6"
+    },
+    {
+      "bytes": 47659,
+      "path": "data/internal_test/p26/goedel_workbook-000136-0000-69992f7a32e2bab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "69992f7a32e2bab569af588368b8cf0bb9f69d3889c06018d48ac6e4959f0992"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000137.json b/manifests/batches/goedel_workbook/000137.json
index bc0af6d27ed2c0fbd284bbfc8d08b8f84752ea8b..6291b8f4abdf5e70e1d736bdd05d2ffc29f906d1 100644
--- a/manifests/batches/goedel_workbook/000137.json
+++ b/manifests/batches/goedel_workbook/000137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000137",
   "batch_fingerprint": "492b0a6a01f90e9856e4da873ebbe32d0233e5d0cef8eab6e0f311b83c87d4bb",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000137-0000-71a16a9e7243751b.parquet",
-      "sha256": "71a16a9e7243751b387354dea9a0048721b5a1c3f4bcd070469604570f023471",
-      "bytes": 99936,
-      "rows": 26,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000137-0000-1bacd1a4a48e0cba.parquet",
-      "sha256": "1bacd1a4a48e0cba0ad271413bfcf7d48c5432ba44999e5968e0bea1252a898f",
-      "bytes": 117585,
-      "rows": 10,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24281",
     "goedel_workbook:lean_workbook_24288",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003445.lean\",\"2a5462ada20c7ae0fe01ef1d2079d6ab8d11b17bd72a823db35f054d6718dcba\",0,\"lean_workbook_24385\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003448.lean\",\"d721a90f87706cbc1f237f7438e04a519881b99404fd8b9ab14eafe5e1490b76\",0,\"lean_workbook_24404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003449.lean\",\"7c17cb37c53568b9fff7d736f5e461a7e1a17f3c5bc96660b9b686cd116fd93a\",0,\"lean_workbook_24409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99936,
+      "path": "data/train/pb7/goedel_workbook-000137-0000-71a16a9e7243751b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "71a16a9e7243751b387354dea9a0048721b5a1c3f4bcd070469604570f023471"
+    },
+    {
+      "bytes": 117585,
+      "path": "data/internal_test/pb7/goedel_workbook-000137-0000-1bacd1a4a48e0cba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1bacd1a4a48e0cba0ad271413bfcf7d48c5432ba44999e5968e0bea1252a898f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000138.json b/manifests/batches/goedel_workbook/000138.json
index d05200e2b5e699f76abe66fde698de9579c15d82..d059e5b8fa2c59ba4d7aa6d58bc1e214adabc7b3 100644
--- a/manifests/batches/goedel_workbook/000138.json
+++ b/manifests/batches/goedel_workbook/000138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000138",
   "batch_fingerprint": "99ff2389404132d01f2cac1092d581483ca5f3647ca0dae7a301a27fad412c05",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000138-0000-f09d919837d79e23.parquet",
-      "sha256": "f09d919837d79e23fce2b42435cedbdfdc06d7080fb1da35098a9bc096172fa9",
-      "bytes": 155208,
-      "rows": 45,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000138-0000-4dd13905beab894c.parquet",
-      "sha256": "4dd13905beab894c6db0a08fd0bbc69b4e95db4a93788cabeb9fdbc15167a78a",
-      "bytes": 45378,
-      "rows": 7,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000138-0000-2d5621f1ccdb7174.parquet",
-      "sha256": "2d5621f1ccdb7174b730da41cfbb88d812195a6bfec9f1815f0f11241c0f13cc",
-      "bytes": 35107,
-      "rows": 2,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24410",
     "goedel_workbook:lean_workbook_24411",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003468.lean\",\"156fb461b544eceeb70c7f3c38588023384dae901d3824e0d57495f5f28f4219\",0,\"lean_workbook_24474\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003469.lean\",\"16f0d624952dd396302fb739967748136b429a594563f288b81f1e3a10996b5c\",0,\"lean_workbook_24480\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003470.lean\",\"75081c9e531fb5bcf38eebe69f5037a20c40e0e8fb52282b24396cfe30b75937\",0,\"lean_workbook_24489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155208,
+      "path": "data/train/p75/goedel_workbook-000138-0000-f09d919837d79e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "f09d919837d79e23fce2b42435cedbdfdc06d7080fb1da35098a9bc096172fa9"
+    },
+    {
+      "bytes": 45378,
+      "path": "data/dev/p75/goedel_workbook-000138-0000-4dd13905beab894c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4dd13905beab894c6db0a08fd0bbc69b4e95db4a93788cabeb9fdbc15167a78a"
+    },
+    {
+      "bytes": 35107,
+      "path": "data/internal_test/p75/goedel_workbook-000138-0000-2d5621f1ccdb7174.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2d5621f1ccdb7174b730da41cfbb88d812195a6bfec9f1815f0f11241c0f13cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000139.json b/manifests/batches/goedel_workbook/000139.json
index d60858ab9066a458d993df8b904a35277b76b77b..8c4351a36f4a1d992df3bf12a5c374980795b351 100644
--- a/manifests/batches/goedel_workbook/000139.json
+++ b/manifests/batches/goedel_workbook/000139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000139",
   "batch_fingerprint": "93fa1e2f3f8c4fbfb26e124251f8adcceae162ea0f02fca4edf85afebd8581d4",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000139-0000-00986eecf717c41c.parquet",
-      "sha256": "00986eecf717c41c1f12df67c5a43b0ad8346a041df7822fb644be51dde6fd2d",
-      "bytes": 126836,
-      "rows": 27,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000139-0000-f4c12b4df950ac14.parquet",
-      "sha256": "f4c12b4df950ac148d33a52cebb11e72e08adb104aa0011d3a1b153c8fcbe379",
-      "bytes": 37175,
-      "rows": 5,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000139-0000-46b7fe374f47b79b.parquet",
-      "sha256": "46b7fe374f47b79b3329de6101d36348764a8d2345bd515723673e23a5d91645",
-      "bytes": 45923,
-      "rows": 4,
-      "revision": "a030cf6c60dbf8c9b2fbea60c12f775ee6d27295"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24509",
     "goedel_workbook:lean_workbook_24515",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003494.lean\",\"4ec0f030d766c877e31f1347d2191b6dcb6e661583827116e49d0b797ac9e3df\",0,\"lean_workbook_2457\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003496.lean\",\"fb9ad095103f1fbad54201ee32c18e10da11d6fcea5f329f2169f0e101d06009\",0,\"lean_workbook_24573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003497.lean\",\"89208c294cc5f65e6fd2deaba772d055d7b69e7e99eb53cd54efe711cf9fde4a\",0,\"lean_workbook_2459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126836,
+      "path": "data/train/pa7/goedel_workbook-000139-0000-00986eecf717c41c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "00986eecf717c41c1f12df67c5a43b0ad8346a041df7822fb644be51dde6fd2d"
+    },
+    {
+      "bytes": 37175,
+      "path": "data/dev/pa7/goedel_workbook-000139-0000-f4c12b4df950ac14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f4c12b4df950ac148d33a52cebb11e72e08adb104aa0011d3a1b153c8fcbe379"
+    },
+    {
+      "bytes": 45923,
+      "path": "data/internal_test/pa7/goedel_workbook-000139-0000-46b7fe374f47b79b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "46b7fe374f47b79b3329de6101d36348764a8d2345bd515723673e23a5d91645"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000140.json b/manifests/batches/goedel_workbook/000140.json
index 4bc0861572b1dec12ae15cc1a2902b19c231eed2..de229612fecdb1b3c14d1cc38bfbbbe9c68bc4bd 100644
--- a/manifests/batches/goedel_workbook/000140.json
+++ b/manifests/batches/goedel_workbook/000140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000140",
   "batch_fingerprint": "2f56bb2dbd898cfdf85048a603639b36383ba0fcde82781178b792cc69074492",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000140-0000-62ce4c057d920aac.parquet",
-      "sha256": "62ce4c057d920aac2d4f06259f0c4cc88584cc5e3d51ac7d12f74fe0e7a1d4aa",
-      "bytes": 220763,
-      "rows": 56,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000140-0000-1fd4552ad559a45a.parquet",
-      "sha256": "1fd4552ad559a45a2e3db5d33174e8336dfa095373bbc46c23c1b88f2fc6b361",
-      "bytes": 37329,
-      "rows": 2,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000140-0000-b5d32fed97a887b5.parquet",
-      "sha256": "b5d32fed97a887b52b6b6659a5ddcb3060552c6519a8dc5c2932a37b25091341",
-      "bytes": 30847,
-      "rows": 1,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2461",
     "goedel_workbook:lean_workbook_24612",
@@ -216,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003521.lean\",\"a80982a5ae5de337d6d6f04278408afcf882923e55bf97f40bde4acdf19a62fa\",0,\"lean_workbook_24661\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003522.lean\",\"a95c793d07dba5cafe1975a814e2a7a4ac92e4fe03614422d73d629d9d73abbd\",0,\"lean_workbook_24662\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003524.lean\",\"23901989387b0658a0b70b9d002892497de1b9bb78e53d0a10571f6640bf8f56\",0,\"lean_workbook_24683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220763,
+      "path": "data/train/pb7/goedel_workbook-000140-0000-62ce4c057d920aac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "62ce4c057d920aac2d4f06259f0c4cc88584cc5e3d51ac7d12f74fe0e7a1d4aa"
+    },
+    {
+      "bytes": 37329,
+      "path": "data/internal_test/pb7/goedel_workbook-000140-0000-1fd4552ad559a45a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1fd4552ad559a45a2e3db5d33174e8336dfa095373bbc46c23c1b88f2fc6b361"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000141.json b/manifests/batches/goedel_workbook/000141.json
index 426fb47e0d0251263ddd543ea5bf0a7790daf693..8e30c33f621cb89b18e078419a3244bf1f1da538 100644
--- a/manifests/batches/goedel_workbook/000141.json
+++ b/manifests/batches/goedel_workbook/000141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000141",
   "batch_fingerprint": "b735bc8edd02f1959c5efb2213fd83dbd3b831294ece8ac2d76cc674ef2af5b8",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000141-0000-9b8a48004f2bea70.parquet",
-      "sha256": "9b8a48004f2bea708c8216a9df8855e3fbb6b66291977c13c180eeb687fe5106",
-      "bytes": 187543,
-      "rows": 37,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000141-0000-3c2f386658aeef12.parquet",
-      "sha256": "3c2f386658aeef12b003f85394a5cfbf9bc7f095024d3d1b058496a63a788bc8",
-      "bytes": 41464,
-      "rows": 6,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000141-0000-ffc6fc57d61798da.parquet",
-      "sha256": "ffc6fc57d61798dadf7621c7a7a72267897fc47cfd02615169f589ddaf444390",
-      "bytes": 103852,
-      "rows": 9,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24693",
     "goedel_workbook:lean_workbook_24697",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003546.lean\",\"3406d2c90c3de6efaedaf40c102c94dabbf667344a1e66c8aaa0b05df69db7b2\",0,\"lean_workbook_24770\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003547.lean\",\"7f5c9d11085a9c63ac21e3badb03abc3130c1dc038232681dd2be3cb7829bd32\",0,\"lean_workbook_24771\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003548.lean\",\"5120e0060f98e5473ac10578cc17c71c3d44a06bfb2374520e872c188fa5035e\",0,\"lean_workbook_24772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187543,
+      "path": "data/train/p14/goedel_workbook-000141-0000-9b8a48004f2bea70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "9b8a48004f2bea708c8216a9df8855e3fbb6b66291977c13c180eeb687fe5106"
+    },
+    {
+      "bytes": 41464,
+      "path": "data/dev/p14/goedel_workbook-000141-0000-3c2f386658aeef12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3c2f386658aeef12b003f85394a5cfbf9bc7f095024d3d1b058496a63a788bc8"
+    },
+    {
+      "bytes": 103852,
+      "path": "data/internal_test/p14/goedel_workbook-000141-0000-ffc6fc57d61798da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ffc6fc57d61798dadf7621c7a7a72267897fc47cfd02615169f589ddaf444390"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000142.json b/manifests/batches/goedel_workbook/000142.json
index 9d847b816cf714d94ed94816faff007217d68412..b32753b8fc637d3ea67c447eddba571f09836de1 100644
--- a/manifests/batches/goedel_workbook/000142.json
+++ b/manifests/batches/goedel_workbook/000142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000142",
   "batch_fingerprint": "0ad2e64a177c1648ad9078ae14b06e96408c7469ecfb63e2e53d3fa8675c80d9",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000142-0000-38aacf6ea267d7e2.parquet",
-      "sha256": "38aacf6ea267d7e27f2526445e1b4d122448ab9609c6c9512d4b3ee318b8db40",
-      "bytes": 195345,
-      "rows": 45,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000142-0000-b029ca28ba71c625.parquet",
-      "sha256": "b029ca28ba71c625767d0e313df343640a7435a65395e8fe09e3768240820d8c",
-      "bytes": 50406,
-      "rows": 12,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000142-0000-df6fd4ca4411979e.parquet",
-      "sha256": "df6fd4ca4411979ea5423026b36a505003ef65c6aea8614d3da82039c9695363",
-      "bytes": 35225,
-      "rows": 1,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24777",
     "goedel_workbook:lean_workbook_24778",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003569.lean\",\"a772f7143fe0c9ba1f0bffbc48a3e6e0db7efdc2f0a44fbf16806c5dce016164\",0,\"lean_workbook_24834\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003570.lean\",\"8002efe625a3ea3c73ca4794f26d5edcc82f86dd23950495ed10d76d03a28d7c\",0,\"lean_workbook_24835\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003571.lean\",\"9d41c495408c171d1dc76e9314804d8e3752c99a47a226a8b62ec0fff2ea04c5\",0,\"lean_workbook_24837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195345,
+      "path": "data/train/p24/goedel_workbook-000142-0000-38aacf6ea267d7e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "38aacf6ea267d7e27f2526445e1b4d122448ab9609c6c9512d4b3ee318b8db40"
+    },
+    {
+      "bytes": 50406,
+      "path": "data/dev/p24/goedel_workbook-000142-0000-b029ca28ba71c625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b029ca28ba71c625767d0e313df343640a7435a65395e8fe09e3768240820d8c"
+    },
+    {
+      "bytes": 35225,
+      "path": "data/internal_test/p24/goedel_workbook-000142-0000-df6fd4ca4411979e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "df6fd4ca4411979ea5423026b36a505003ef65c6aea8614d3da82039c9695363"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000143.json b/manifests/batches/goedel_workbook/000143.json
index 05e03338c98ac48e9fe8bf567bb52da573707e9e..8b4f3c258b342488739c3d1a7708d25972c12f4e 100644
--- a/manifests/batches/goedel_workbook/000143.json
+++ b/manifests/batches/goedel_workbook/000143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000143",
   "batch_fingerprint": "1621860a4736398ab9e7fd597a3606ab892037c635d7a89d5eed0fb8f0f28c22",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000143-0000-18a48964ab9fec1e.parquet",
-      "sha256": "18a48964ab9fec1e7033ca6174cb527370ca870a959971cedd00163c1e20d8e8",
-      "bytes": 150289,
-      "rows": 38,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000143-0000-2a7c5cd3695fc339.parquet",
-      "sha256": "2a7c5cd3695fc339dbdd8575d0d9529f7f7bd6e3ff63d6e34843fc22fe833ba8",
-      "bytes": 35145,
-      "rows": 1,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000143-0000-175a0c5a42c7cd2d.parquet",
-      "sha256": "175a0c5a42c7cd2d59e452dadc83edb152ed4c6559d5d46b9b8a2d5572a2409c",
-      "bytes": 45242,
-      "rows": 7,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24846",
     "goedel_workbook:lean_workbook_24851",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003597.lean\",\"d33036f4a5577540e234a7d796a0927b3e8cd930582bd237117fdc67582b8a90\",0,\"lean_workbook_2493\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003598.lean\",\"202f8fe0b2b69228ad43678db19673b9e3d95e7ea5945df2d801dcf7de69ba01\",0,\"lean_workbook_24932\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003599.lean\",\"f145d1efa2d53803573ff14bc195d34c2f3b4f3e3dabbda0a7babed6a835e02a\",0,\"lean_workbook_24933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150289,
+      "path": "data/train/p97/goedel_workbook-000143-0000-18a48964ab9fec1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "18a48964ab9fec1e7033ca6174cb527370ca870a959971cedd00163c1e20d8e8"
+    },
+    {
+      "bytes": 35145,
+      "path": "data/dev/p97/goedel_workbook-000143-0000-2a7c5cd3695fc339.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2a7c5cd3695fc339dbdd8575d0d9529f7f7bd6e3ff63d6e34843fc22fe833ba8"
+    },
+    {
+      "bytes": 45242,
+      "path": "data/internal_test/p97/goedel_workbook-000143-0000-175a0c5a42c7cd2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "175a0c5a42c7cd2d59e452dadc83edb152ed4c6559d5d46b9b8a2d5572a2409c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000144.json b/manifests/batches/goedel_workbook/000144.json
index 75adf45dc4a166a015c250c346bd50519cb2d395..abc5ce6c627e7d12577525f36d37b454b30fb029 100644
--- a/manifests/batches/goedel_workbook/000144.json
+++ b/manifests/batches/goedel_workbook/000144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000144",
   "batch_fingerprint": "0a363e38c6fe49cb9f286163fec9120f0349efddf387ec98ed79622d01023673",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000144-0000-b5dc22254da8a9f5.parquet",
-      "sha256": "b5dc22254da8a9f549339c9a68551b963f0f6f28e7b7a1c5afcf9d982e8d29a3",
-      "bytes": 102562,
-      "rows": 25,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000144-0000-6b993a54154fb974.parquet",
-      "sha256": "6b993a54154fb97485708efde456601f7087e472c43b9e9cbf4c0079a1f7f6af",
-      "bytes": 33470,
-      "rows": 1,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000144-0000-941b7d14b19603d2.parquet",
-      "sha256": "941b7d14b19603d273baef9e70e67b186038af02db2e045708a71187394fd267",
-      "bytes": 40858,
-      "rows": 4,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_24947",
     "goedel_workbook:lean_workbook_2497",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003620.lean\",\"aab0151088f2821a95fc2dd24e0baeb886f6f769c1a0df6f46f815213671e6fb\",0,\"lean_workbook_25005\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003622.lean\",\"9a308f1e3f59dab659c46490d6fe35bc4a223c39715ab268fed5ca1ae9b66315\",0,\"lean_workbook_25015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003624.lean\",\"0bb277f2d59d9d8763372858d58e0296e2adc34df2b960d0fe0af5678c7b10ba\",0,\"lean_workbook_25031\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102562,
+      "path": "data/train/pd7/goedel_workbook-000144-0000-b5dc22254da8a9f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b5dc22254da8a9f549339c9a68551b963f0f6f28e7b7a1c5afcf9d982e8d29a3"
+    },
+    {
+      "bytes": 33470,
+      "path": "data/dev/pd7/goedel_workbook-000144-0000-6b993a54154fb974.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6b993a54154fb97485708efde456601f7087e472c43b9e9cbf4c0079a1f7f6af"
+    },
+    {
+      "bytes": 40858,
+      "path": "data/internal_test/pd7/goedel_workbook-000144-0000-941b7d14b19603d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "941b7d14b19603d273baef9e70e67b186038af02db2e045708a71187394fd267"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000145.json b/manifests/batches/goedel_workbook/000145.json
index 825882992f3cbe9e2cd7a9da7f1491c89c6bae8e..f6b20e666859ca9f5b849f4c865aed2c0dfd477c 100644
--- a/manifests/batches/goedel_workbook/000145.json
+++ b/manifests/batches/goedel_workbook/000145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000145",
   "batch_fingerprint": "919b68a2f64453412b331386311e4cf23f13ce390ade9886a66346404486ce47",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000145-0000-15d2c594148a1dc3.parquet",
-      "sha256": "15d2c594148a1dc304fdb06940ae8bb7d60ceb436c135e04663ad21614ac928c",
-      "bytes": 206685,
-      "rows": 46,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25036",
     "goedel_workbook:lean_workbook_25037",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003645.lean\",\"039fbb61d8fac63bad050a5a457c0cd6ec2e2342f7c690cd4540013553fc24a9\",0,\"lean_workbook_25101\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003648.lean\",\"8c89cf2140f61fa1084a785c3f3fb9196cb4d1410890112c5ac5fce1a50ce99f\",0,\"lean_workbook_25117\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003649.lean\",\"208d46101d40c03877124b5f9420b4ad9a5f81e67635fad5f0c669df8cdeb9a5\",0,\"lean_workbook_25119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206685,
+      "path": "data/train/pbc/goedel_workbook-000145-0000-15d2c594148a1dc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "15d2c594148a1dc304fdb06940ae8bb7d60ceb436c135e04663ad21614ac928c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000146.json b/manifests/batches/goedel_workbook/000146.json
index 51c9b8742302d47bc9d0d9194b9ce0819890f28e..19e0747835a95e50dcc70e2aa3c80d8a3b0b1ba4 100644
--- a/manifests/batches/goedel_workbook/000146.json
+++ b/manifests/batches/goedel_workbook/000146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000146",
   "batch_fingerprint": "303ddffab385dbd59ba4d14072227ff96e2329629eb55488ab688730cad8a235",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000146-0000-77370cd022bf3f85.parquet",
-      "sha256": "77370cd022bf3f85efd68ea720e09b9c56b4cf83c973f770ad27f2e52b0d4446",
-      "bytes": 150135,
-      "rows": 28,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000146-0000-2ef92cc0482dcd7e.parquet",
-      "sha256": "2ef92cc0482dcd7e4572f66f1cb32bb314452d05c0dbbac852a613ebcde66310",
-      "bytes": 36637,
-      "rows": 3,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000146-0000-d047755afd75adcb.parquet",
-      "sha256": "d047755afd75adcbcd7c86a507f21525747b4154b3ca9fe9bf69f0be3caf370a",
-      "bytes": 45513,
-      "rows": 5,
-      "revision": "0dcbefed37bbb9e24d5031070fe0e2692b109677"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2512",
     "goedel_workbook:lean_workbook_25120",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003670.lean\",\"ae28ac67169c36cf977d9f7683b577b06a2135184544761a5645780c2171a5c3\",0,\"lean_workbook_25198\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003671.lean\",\"bf484a7fc9876a9f6e5ca4337d12bb32b68013b702e33f14dde5e05d14ff38e0\",0,\"lean_workbook_25201\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003673.lean\",\"7c730e964ba47902083940ffc2223632efe058995b960036f6155b2b7c36ec9e\",0,\"lean_workbook_25209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150135,
+      "path": "data/train/p8a/goedel_workbook-000146-0000-77370cd022bf3f85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "77370cd022bf3f85efd68ea720e09b9c56b4cf83c973f770ad27f2e52b0d4446"
+    },
+    {
+      "bytes": 36637,
+      "path": "data/dev/p8a/goedel_workbook-000146-0000-2ef92cc0482dcd7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2ef92cc0482dcd7e4572f66f1cb32bb314452d05c0dbbac852a613ebcde66310"
+    },
+    {
+      "bytes": 45513,
+      "path": "data/internal_test/p8a/goedel_workbook-000146-0000-d047755afd75adcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d047755afd75adcbcd7c86a507f21525747b4154b3ca9fe9bf69f0be3caf370a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000147.json b/manifests/batches/goedel_workbook/000147.json
index 8c2fe8f562569f1f3513eab4f797b6357a1177db..fa548a410da08500e38f65dcbd037414098fc204 100644
--- a/manifests/batches/goedel_workbook/000147.json
+++ b/manifests/batches/goedel_workbook/000147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000147",
   "batch_fingerprint": "1a87cbfb3cc57458c48f30ab642ae9d0ad42f02c4dca4bdf7ebb08f7c7892046",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000147-0000-ffa1b0b5d0a6ff8c.parquet",
-      "sha256": "ffa1b0b5d0a6ff8ca84ce8b8f8c5f1c184895efb5415b2b17d79de97499f4f9f",
-      "bytes": 202466,
-      "rows": 40,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000147-0000-4a570773a5078166.parquet",
-      "sha256": "4a570773a50781667be184d74c10fc38f5595411446b4303ececbb05ddbd6cd9",
-      "bytes": 32907,
-      "rows": 1,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000147-0000-4581b95b508e8baa.parquet",
-      "sha256": "4581b95b508e8baae5c0878e5c10907bec6e0247eb92b379e6c9995ed0a29615",
-      "bytes": 63130,
-      "rows": 6,
-      "revision": "c0e79bf79a88d3deae8dea8fa20d0b0dbf11ac7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25211",
     "goedel_workbook:lean_workbook_25225",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003696.lean\",\"79a0a9dbc8100758d58acf7184cc43b6a8cb52f4381641a474178fcc2355dece\",0,\"lean_workbook_2533\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003697.lean\",\"f554f7b76aa2d45768e5914b53cf72c4183fd2c91f43ed75f4ec7d2057e2c7cb\",0,\"lean_workbook_25331\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003698.lean\",\"4a5fb611c021f791ab3d2a1831c6f660d475a267c96f0790d05893b0f57b5ed9\",0,\"lean_workbook_25332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202466,
+      "path": "data/train/pd1/goedel_workbook-000147-0000-ffa1b0b5d0a6ff8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "ffa1b0b5d0a6ff8ca84ce8b8f8c5f1c184895efb5415b2b17d79de97499f4f9f"
+    },
+    {
+      "bytes": 32907,
+      "path": "data/dev/pd1/goedel_workbook-000147-0000-4a570773a5078166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4a570773a50781667be184d74c10fc38f5595411446b4303ececbb05ddbd6cd9"
+    },
+    {
+      "bytes": 63130,
+      "path": "data/internal_test/pd1/goedel_workbook-000147-0000-4581b95b508e8baa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4581b95b508e8baae5c0878e5c10907bec6e0247eb92b379e6c9995ed0a29615"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000148.json b/manifests/batches/goedel_workbook/000148.json
index 5680ad0add0cc3eff6dad33b14c0d79241830b63..376c0d128dab4a3031155bc97c7cdb24b69a7b75 100644
--- a/manifests/batches/goedel_workbook/000148.json
+++ b/manifests/batches/goedel_workbook/000148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000148",
   "batch_fingerprint": "a782ed4b7abbb86a11ccb22478c57b4917535df5ca5e669a5eeb75065d143315",
   "evidence": {
@@ -333,29 +332,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000148-0000-bcb08549c003f20a.parquet",
-      "sha256": "bcb08549c003f20a19a4146e259a2cc5f1da840626844320ec9ff53ecfa448c6",
-      "bytes": 78512,
-      "rows": 21,
-      "revision": "99ab1285a1040aeebdd57a55a1ab9ef9620335fd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000148-0000-35992d2604bb0fe3.parquet",
-      "sha256": "35992d2604bb0fe3d3d9075eb53c5222b8c7e3a51a36d114072c211c9b95137e",
-      "bytes": 34847,
-      "rows": 1,
-      "revision": "99ab1285a1040aeebdd57a55a1ab9ef9620335fd"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000148-0000-abc5641cce88dfc7.parquet",
-      "sha256": "abc5641cce88dfc7b59d28d1a2ac5ba6bed8d0cc0a6d91e0f03ea5f9d7b6e0d4",
-      "bytes": 31671,
-      "rows": 2,
-      "revision": "99ab1285a1040aeebdd57a55a1ab9ef9620335fd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25375",
     "goedel_workbook:lean_workbook_25381",
@@ -377,5 +354,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003717.lean\",\"51cbe159ee5008b2e62a63e92fc8bc7ec68a9a4adc421b53ea684c420f3e65ec\",0,\"lean_workbook_2541\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003719.lean\",\"0b61a9fc2b0b07a9b58384b29b6348b36edee45867e2758f016c19f7370eab8f\",0,\"lean_workbook_2542\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003723.lean\",\"2b0b6d2dd03860d1af98f1aa117a4acdd17d54574b1f90a68bbb989f1933a6d8\",0,\"lean_workbook_25441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78512,
+      "path": "data/train/pb4/goedel_workbook-000148-0000-bcb08549c003f20a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "bcb08549c003f20a19a4146e259a2cc5f1da840626844320ec9ff53ecfa448c6"
+    },
+    {
+      "bytes": 34847,
+      "path": "data/internal_test/pb4/goedel_workbook-000148-0000-35992d2604bb0fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "35992d2604bb0fe3d3d9075eb53c5222b8c7e3a51a36d114072c211c9b95137e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000149.json b/manifests/batches/goedel_workbook/000149.json
index 7c2f9b870ab92322c8279c183e171b5eef9b6d79..9a12f1392a7dda534867105bb168a3d6da1fd0e4 100644
--- a/manifests/batches/goedel_workbook/000149.json
+++ b/manifests/batches/goedel_workbook/000149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000149",
   "batch_fingerprint": "ba421f9214f449d7627fcf6956013c963f27f1d51f44d390ab47b51442d9778e",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000149-0000-99724621ae516705.parquet",
-      "sha256": "99724621ae516705155917b7363ba2a30011ec9e9c59be113b6dd9844632ca6b",
-      "bytes": 187351,
-      "rows": 55,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000149-0000-8938be6d5b7641ec.parquet",
-      "sha256": "8938be6d5b7641ece8aa3575ebfa6d920a062ddd3fb2ed9448936b79e93c176c",
-      "bytes": 31037,
-      "rows": 2,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000149-0000-bccbd014013718db.parquet",
-      "sha256": "bccbd014013718db45a7e4eb2aaed6b93c29df5f466cff0805090a3c73bce216",
-      "bytes": 66092,
-      "rows": 13,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2545",
     "goedel_workbook:lean_workbook_25450",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003747.lean\",\"879473e0dace1a6d65439d371b5cb71278394f83af894dfdc9fdb95a58bb7ac2\",0,\"lean_workbook_25533\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003748.lean\",\"776ecbcc987724308442e5d69f2fb178c5fec7cbdb09b71ed0ec7a99fb41a572\",0,\"lean_workbook_25542\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003749.lean\",\"24bc31aae3b9354a073ad1ff7bc373e6e40a2be567a9fe195568611fd88c181c\",0,\"lean_workbook_25550\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187351,
+      "path": "data/train/p67/goedel_workbook-000149-0000-99724621ae516705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "99724621ae516705155917b7363ba2a30011ec9e9c59be113b6dd9844632ca6b"
+    },
+    {
+      "bytes": 31037,
+      "path": "data/dev/p67/goedel_workbook-000149-0000-8938be6d5b7641ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8938be6d5b7641ece8aa3575ebfa6d920a062ddd3fb2ed9448936b79e93c176c"
+    },
+    {
+      "bytes": 66092,
+      "path": "data/internal_test/p67/goedel_workbook-000149-0000-bccbd014013718db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bccbd014013718db45a7e4eb2aaed6b93c29df5f466cff0805090a3c73bce216"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000150.json b/manifests/batches/goedel_workbook/000150.json
index e9c6241dc720e3ada9c2f3c972aa82b32ac62cc4..f0db36d3d21f4254c7a7cc6e8a61926d788ce3b6 100644
--- a/manifests/batches/goedel_workbook/000150.json
+++ b/manifests/batches/goedel_workbook/000150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000150",
   "batch_fingerprint": "402bb135d0ce588d4fcf0a21954f548cb80d96264b0ab38c733a8d0c70809b80",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000150-0000-bea9284b023ecc91.parquet",
-      "sha256": "bea9284b023ecc91820a2a4ab3aea6314c7b8216606ee0c488323b49f9fd22f5",
-      "bytes": 92486,
-      "rows": 23,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000150-0000-4f6439814e18f21f.parquet",
-      "sha256": "4f6439814e18f21ff699cf161bd83774864d2db3f8e8297591c0148fa415520a",
-      "bytes": 34555,
-      "rows": 3,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000150-0000-0c000366a566fbf8.parquet",
-      "sha256": "0c000366a566fbf8055ec7bf296a5da58c9c59e451894e7d61d28226cfbf1807",
-      "bytes": 45684,
-      "rows": 3,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25556",
     "goedel_workbook:lean_workbook_25559",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003767.lean\",\"dcdf2e7ab601c149333d9a00b6684985646d62366b911ed88dfece299bd90f87\",0,\"lean_workbook_25611\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003773.lean\",\"412517bc1b206f6285052fb8027aa82cedf13c7d84b1a95b61f90c2abfa1dab9\",0,\"lean_workbook_25635\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003774.lean\",\"fb0ef784b552f7a128b5aaff8a63f0f9e488532afd493659b4a45c92af4f1012\",0,\"lean_workbook_25636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92486,
+      "path": "data/train/p72/goedel_workbook-000150-0000-bea9284b023ecc91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "bea9284b023ecc91820a2a4ab3aea6314c7b8216606ee0c488323b49f9fd22f5"
+    },
+    {
+      "bytes": 34555,
+      "path": "data/dev/p72/goedel_workbook-000150-0000-4f6439814e18f21f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4f6439814e18f21ff699cf161bd83774864d2db3f8e8297591c0148fa415520a"
+    },
+    {
+      "bytes": 45684,
+      "path": "data/internal_test/p72/goedel_workbook-000150-0000-0c000366a566fbf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0c000366a566fbf8055ec7bf296a5da58c9c59e451894e7d61d28226cfbf1807"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000151.json b/manifests/batches/goedel_workbook/000151.json
index baf146b548b07ff771b6f6bc040b672b2dbcad69..e0a7d0dbe3a13dea6e0b64cd8d4fe51e2cf4f121 100644
--- a/manifests/batches/goedel_workbook/000151.json
+++ b/manifests/batches/goedel_workbook/000151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000151",
   "batch_fingerprint": "04b4dac1524da0cb647ad39434c5a23ed35c5cd5bc4bcf7a3217ae1cd644243c",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000151-0000-754ba7b79f83741e.parquet",
-      "sha256": "754ba7b79f83741e6a136ebb72e51aadf17dd54228025c333af78d11a0f3e4b8",
-      "bytes": 181787,
-      "rows": 37,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000151-0000-b20d47407dd6ff52.parquet",
-      "sha256": "b20d47407dd6ff52e15d0dd01ecd01c871ad6205ad0b2dc42f2d1457c0964ed1",
-      "bytes": 82483,
-      "rows": 15,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25662",
     "goedel_workbook:lean_workbook_25663",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003795.lean\",\"a5d23fd19f4066f76a48b2ac5cac022f89f9e57d27ade42e5cf313a067419a12\",0,\"lean_workbook_25728\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003797.lean\",\"87631cc83f63eea47a4991e395317c569988c3127a7af60340ffc75367958a00\",0,\"lean_workbook_25741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181787,
+      "path": "data/train/pb8/goedel_workbook-000151-0000-754ba7b79f83741e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "754ba7b79f83741e6a136ebb72e51aadf17dd54228025c333af78d11a0f3e4b8"
+    },
+    {
+      "bytes": 82483,
+      "path": "data/internal_test/pb8/goedel_workbook-000151-0000-b20d47407dd6ff52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b20d47407dd6ff52e15d0dd01ecd01c871ad6205ad0b2dc42f2d1457c0964ed1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000152.json b/manifests/batches/goedel_workbook/000152.json
index e3a6c1aa56fe1cb08e8a32953a5da7a9c8f47ab2..01e1af41c9514f5e8378e3cb503e8fafa4410ea0 100644
--- a/manifests/batches/goedel_workbook/000152.json
+++ b/manifests/batches/goedel_workbook/000152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000152",
   "batch_fingerprint": "4f330617ad8f8425870d47070b2a64af989ca50c3210db65e84d03529044dfb5",
   "evidence": {
@@ -191,22 +190,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000152-0000-a69ee1905a659284.parquet",
-      "sha256": "a69ee1905a65928403815b2d7519f015d0bcec46a6f4e09ee976df7dbf8cb8f9",
-      "bytes": 211297,
-      "rows": 53,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000152-0000-ba65a1cab3142a90.parquet",
-      "sha256": "ba65a1cab3142a9083a68623ea475cfc8be8d1cc5b07d7b8cfc18f55aadd5c08",
-      "bytes": 30508,
-      "rows": 1,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25757",
     "goedel_workbook:lean_workbook_25763",
@@ -242,5 +226,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003821.lean\",\"b6ab38ad3b0f5b15cedfd222f4eccfa8abfa4abf253828d86eb80041b809e314\",0,\"lean_workbook_25845\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003823.lean\",\"fce463d61ab846ee73ce00f6efb7d8e220ba4be4197fd7bcd2ca74b42ab5126f\",0,\"lean_workbook_25849\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003824.lean\",\"a6ad4c885b742806041f476267bd68914bb3bd64906ecd94accbf0734dc006b1\",0,\"lean_workbook_2585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211297,
+      "path": "data/train/pbf/goedel_workbook-000152-0000-a69ee1905a659284.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "a69ee1905a65928403815b2d7519f015d0bcec46a6f4e09ee976df7dbf8cb8f9"
+    },
+    {
+      "bytes": 30508,
+      "path": "data/dev/pbf/goedel_workbook-000152-0000-ba65a1cab3142a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ba65a1cab3142a9083a68623ea475cfc8be8d1cc5b07d7b8cfc18f55aadd5c08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000153.json b/manifests/batches/goedel_workbook/000153.json
index 066ff782db5dc24fd8f622ea3ee0bda3a8e9ba42..269e987ef92048340f6d1a740fe136b0d2acdb61 100644
--- a/manifests/batches/goedel_workbook/000153.json
+++ b/manifests/batches/goedel_workbook/000153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000153",
   "batch_fingerprint": "4dccebe64d9bb69e4873a760d413b454665d8e8b6be8793f45cadaf445abd14f",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000153-0000-f08b0e59482bdc22.parquet",
-      "sha256": "f08b0e59482bdc22226769b37c468c2b2eaa98f578afb0c001bebf0d0753c54f",
-      "bytes": 236164,
-      "rows": 53,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000153-0000-8e8e2eb62360db68.parquet",
-      "sha256": "8e8e2eb62360db6832d535f846b904f7b44f43fbdbbfa67b4136f9a4d27c1fe4",
-      "bytes": 29188,
-      "rows": 2,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25856",
     "goedel_workbook:lean_workbook_2586",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003847.lean\",\"c438f466a4c47bb295aa28c5835b5ad224c170deb1d87aac146354abb52967c8\",0,\"lean_workbook_2594\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003849.lean\",\"230493233bfa2f13129719a4923d4af735e9b43d555a5d84882ad515d4a83526\",0,\"lean_workbook_25941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236164,
+      "path": "data/train/p70/goedel_workbook-000153-0000-f08b0e59482bdc22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "f08b0e59482bdc22226769b37c468c2b2eaa98f578afb0c001bebf0d0753c54f"
+    },
+    {
+      "bytes": 29188,
+      "path": "data/internal_test/p70/goedel_workbook-000153-0000-8e8e2eb62360db68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e8e2eb62360db6832d535f846b904f7b44f43fbdbbfa67b4136f9a4d27c1fe4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000154.json b/manifests/batches/goedel_workbook/000154.json
index 6102ea8cc291c171d737ca34227df78db4d66596..b7c691c896fb544d608017393e6e73ae363f68ec 100644
--- a/manifests/batches/goedel_workbook/000154.json
+++ b/manifests/batches/goedel_workbook/000154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000154",
   "batch_fingerprint": "e4e6112d32b01cf8fefea0e3975bfc7632940247dc5ac50028d361f02ab97b71",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000154-0000-9660fd6f64b3d5ab.parquet",
-      "sha256": "9660fd6f64b3d5abc4800fbcd55fd9ade98165ca6e020262433352c7eeee59d7",
-      "bytes": 279299,
-      "rows": 51,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000154-0000-2d0ef0af552a1ef3.parquet",
-      "sha256": "2d0ef0af552a1ef3736d466264c4a87567c35df92141e9f19386136cb07fdb9e",
-      "bytes": 64687,
-      "rows": 6,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000154-0000-67c739e7a1677c3c.parquet",
-      "sha256": "67c739e7a1677c3c7c9c10ee7c69846dfc3c4687925429a3fff2626b8ac95f04",
-      "bytes": 37846,
-      "rows": 5,
-      "revision": "052ce84081fecaf723c353d87c2b0db15053f4b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_25947",
     "goedel_workbook:lean_workbook_25949",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003872.lean\",\"5b763d32ac00ae15060b9d10ac618e1f53ee54f8d1e9832ec237726571b9d35b\",0,\"lean_workbook_26001\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003873.lean\",\"e0e517f4ab49d052fd6fca2e0d614d6bd3a79df41e96e07ad3705dcd2688496d\",0,\"lean_workbook_26011\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003874.lean\",\"8873cd59370a8193ec73f0550faa05130e2ad0fc8f8dcfddc68415e88e72195c\",0,\"lean_workbook_26017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279299,
+      "path": "data/train/pab/goedel_workbook-000154-0000-9660fd6f64b3d5ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "9660fd6f64b3d5abc4800fbcd55fd9ade98165ca6e020262433352c7eeee59d7"
+    },
+    {
+      "bytes": 64687,
+      "path": "data/dev/pab/goedel_workbook-000154-0000-2d0ef0af552a1ef3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2d0ef0af552a1ef3736d466264c4a87567c35df92141e9f19386136cb07fdb9e"
+    },
+    {
+      "bytes": 37846,
+      "path": "data/internal_test/pab/goedel_workbook-000154-0000-67c739e7a1677c3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "67c739e7a1677c3c7c9c10ee7c69846dfc3c4687925429a3fff2626b8ac95f04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000155.json b/manifests/batches/goedel_workbook/000155.json
index 7bd6a764cf944a04cb6333ec9739767fe0e647a0..9598ed15a130011dce827450b800b39514b9ff40 100644
--- a/manifests/batches/goedel_workbook/000155.json
+++ b/manifests/batches/goedel_workbook/000155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000155",
   "batch_fingerprint": "60add89494a5a9819dc1ece646e4c7f97da867de959760d06cf10219a537bdf4",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000155-0000-2ce932a7b9de31b2.parquet",
-      "sha256": "2ce932a7b9de31b25b83ce2b271a14939e61476ecd88265384d10cb1b5808f76",
-      "bytes": 103991,
-      "rows": 28,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000155-0000-75dfe2cbffcccb4b.parquet",
-      "sha256": "75dfe2cbffcccb4b46d0d020a4d0986f48aa2cf221464597a64afbed4a69d4fe",
-      "bytes": 30881,
-      "rows": 1,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26025",
     "goedel_workbook:lean_workbook_26034",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003895.lean\",\"8c8d92a387a893373826344ea7351b88340f597228b14655c94498336b96d2a3\",0,\"lean_workbook_26115\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003898.lean\",\"6f1ceadd86d64a1d181fc692a98025fcb1b4af31de3dc5a93cb5a61b072b6415\",0,\"lean_workbook_26121\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003899.lean\",\"869abf555febf8848d367dfc6e2ccd7b583cef4d8c22d040eeb8aea1cd6d9142\",0,\"lean_workbook_26123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103991,
+      "path": "data/train/p89/goedel_workbook-000155-0000-2ce932a7b9de31b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "2ce932a7b9de31b25b83ce2b271a14939e61476ecd88265384d10cb1b5808f76"
+    },
+    {
+      "bytes": 30881,
+      "path": "data/internal_test/p89/goedel_workbook-000155-0000-75dfe2cbffcccb4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "75dfe2cbffcccb4b46d0d020a4d0986f48aa2cf221464597a64afbed4a69d4fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000156.json b/manifests/batches/goedel_workbook/000156.json
index 1351533e6adf3918afa8203202d70befa5bdbd0e..d4d38329b9acee849abfee21bdc796a1ff4fa4b9 100644
--- a/manifests/batches/goedel_workbook/000156.json
+++ b/manifests/batches/goedel_workbook/000156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000156",
   "batch_fingerprint": "95be5d20413949fc61f193c932fd6210ba3f811186baa1247e65288c43c5c355",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000156-0000-d8f89afc73f6d15d.parquet",
-      "sha256": "d8f89afc73f6d15db03d380a967f3fd46dc099009f294ab5463289f3bf38bdb8",
-      "bytes": 176107,
-      "rows": 38,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000156-0000-fd84622f76203667.parquet",
-      "sha256": "fd84622f7620366724de30085b53608ddd768d8efdf2592a093b3424e36c2886",
-      "bytes": 29376,
-      "rows": 1,
-      "revision": "251060eedc93365c29240739912fdd956bd35fbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26127",
     "goedel_workbook:lean_workbook_2613",
@@ -257,5 +241,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003919.lean\",\"6a8846c13074b60bf47f2a64f93d1e62e7db626c056d24766693b9022720bf9a\",0,\"lean_workbook_26203\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003922.lean\",\"fc5f3e860a1e3ea081fb62bd95ef1288ea78a605c40e2e1cde311aba028904a2\",0,\"lean_workbook_26214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176107,
+      "path": "data/train/p98/goedel_workbook-000156-0000-d8f89afc73f6d15d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d8f89afc73f6d15db03d380a967f3fd46dc099009f294ab5463289f3bf38bdb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000157.json b/manifests/batches/goedel_workbook/000157.json
index edced72cfa1ef131b3162f1360053e1b8353aa01..0e2f2c1651dab33cd35d88b0623d335935658845 100644
--- a/manifests/batches/goedel_workbook/000157.json
+++ b/manifests/batches/goedel_workbook/000157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000157",
   "batch_fingerprint": "9254439fc178c7c7115112552505a66cfadcd3c48361581289f88cc20fcd18b8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000157-0000-f2408bb6e4407e78.parquet",
-      "sha256": "f2408bb6e4407e782061b478901deb80a488f9adf1fbb07e2e53484881777560",
-      "bytes": 191938,
-      "rows": 48,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000157-0000-0f5941af2a42fb1c.parquet",
-      "sha256": "0f5941af2a42fb1cdb8b14cf081aa2e9f1b01737c3ea87376c408b078d9204f3",
-      "bytes": 24061,
-      "rows": 1,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26223",
     "goedel_workbook:lean_workbook_26226",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003942.lean\",\"fe63262c84c58fbfa861e99bb14ea0b749a8f4278f13d7b1f10b3519c140be1c\",0,\"lean_workbook_26313\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003944.lean\",\"c57a5212c38658f6b62d73dd4af1a27c20e3037463ac04400c1f0abc1cc7c695\",0,\"lean_workbook_26328\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003949.lean\",\"5757fdd1d5beefac77ea2077a545adb64bd4898ee6bb51059799eda89ed3cf9f\",0,\"lean_workbook_26355\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191938,
+      "path": "data/train/pbb/goedel_workbook-000157-0000-f2408bb6e4407e78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "f2408bb6e4407e782061b478901deb80a488f9adf1fbb07e2e53484881777560"
+    },
+    {
+      "bytes": 24061,
+      "path": "data/internal_test/pbb/goedel_workbook-000157-0000-0f5941af2a42fb1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0f5941af2a42fb1cdb8b14cf081aa2e9f1b01737c3ea87376c408b078d9204f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000158.json b/manifests/batches/goedel_workbook/000158.json
index 0e937fcd1c0cf799d1f332e15e4b2b347a33d321..8c8f1721460fac18570353385d91a132b87db4cf 100644
--- a/manifests/batches/goedel_workbook/000158.json
+++ b/manifests/batches/goedel_workbook/000158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000158",
   "batch_fingerprint": "295f604578df36fb14708ccde417dfe8e0fc0aa6428ac1f9a3f039ee1c2970f7",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000158-0000-c39143e0da6827f7.parquet",
-      "sha256": "c39143e0da6827f76f6f473aa72a9dce80b26f7abb19d23aa79f983f258722d5",
-      "bytes": 201291,
-      "rows": 44,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000158-0000-dcf5f38c43e0f044.parquet",
-      "sha256": "dcf5f38c43e0f0442070318a1b17bace829f018bd0ae34f4a2a90ead127b77b9",
-      "bytes": 41488,
-      "rows": 3,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26357",
     "goedel_workbook:lean_workbook_26360",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003969.lean\",\"8d1f40338b6c801c1f09a6f7e078e4e513c483b6feb4cbfdc646b08b663ed7a7\",0,\"lean_workbook_26437\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003970.lean\",\"a037fcd57cb48e8b1d837ab06da0c205907d4563fe1bbf438f01312f67b4c5bb\",0,\"lean_workbook_26438\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003974.lean\",\"c412c6b36bc2b9bd45c611058e8a8413933dab048c13275be22921c9ea0fc9fd\",0,\"lean_workbook_26459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201291,
+      "path": "data/train/p52/goedel_workbook-000158-0000-c39143e0da6827f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "c39143e0da6827f76f6f473aa72a9dce80b26f7abb19d23aa79f983f258722d5"
+    },
+    {
+      "bytes": 41488,
+      "path": "data/dev/p52/goedel_workbook-000158-0000-dcf5f38c43e0f044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dcf5f38c43e0f0442070318a1b17bace829f018bd0ae34f4a2a90ead127b77b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000159.json b/manifests/batches/goedel_workbook/000159.json
index 2b0529fb9717bdc73c15ef3423bca7cb3e8276cb..59628b88b0e764efccffba54cb3857071d710a56 100644
--- a/manifests/batches/goedel_workbook/000159.json
+++ b/manifests/batches/goedel_workbook/000159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000159",
   "batch_fingerprint": "eeb28f9880aa044557a08fcdb3d75636262d05b25566f8d685e5e1f67e97a17a",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000159-0000-68caad73ed9974f3.parquet",
-      "sha256": "68caad73ed9974f3cbb4d92c8e07c53e55adb8b3a102d2628e92869e18367de5",
-      "bytes": 165244,
-      "rows": 44,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000159-0000-3a60625bc1f8fd43.parquet",
-      "sha256": "3a60625bc1f8fd437382aa5e523dbf47f71d78fefae0cf1277ec7acad83b38c2",
-      "bytes": 104432,
-      "rows": 32,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_2646",
     "goedel_workbook:lean_workbook_26483",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003997.lean\",\"f21d1548ab6ee8031eea93dc617782a6afffcfd755cadeca87d65802a39bd7b5\",0,\"lean_workbook_2655\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003998.lean\",\"5ca08939d3f99ba794a4d63c27e0fc29d430b8eb72c9bb7963a3589e8ada030a\",0,\"lean_workbook_26558\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_003999.lean\",\"9021ba6a94a0c134a30772d3f9b3a0c4e61841c9c30a7bdc5aab8cae9969e627\",0,\"lean_workbook_2656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165244,
+      "path": "data/train/p47/goedel_workbook-000159-0000-68caad73ed9974f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "68caad73ed9974f3cbb4d92c8e07c53e55adb8b3a102d2628e92869e18367de5"
+    },
+    {
+      "bytes": 104432,
+      "path": "data/internal_test/p47/goedel_workbook-000159-0000-3a60625bc1f8fd43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "3a60625bc1f8fd437382aa5e523dbf47f71d78fefae0cf1277ec7acad83b38c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000160.json b/manifests/batches/goedel_workbook/000160.json
index 7371a11263fc0afe800e64bfb25d7568b2cba418..b5f75ea510c42386bd981026b71e5a6e57af704b 100644
--- a/manifests/batches/goedel_workbook/000160.json
+++ b/manifests/batches/goedel_workbook/000160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000160",
   "batch_fingerprint": "b7b46edf3987afea6ec5f1fdd2007458b525fd0a559553cf21fe797adf3318b4",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000160-0000-2558f4a06ba6756e.parquet",
-      "sha256": "2558f4a06ba6756e98ea02baba05e426d4a8ee1440ef987f7b9b641c223760a6",
-      "bytes": 180774,
-      "rows": 45,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000160-0000-74a7bf73ecdf5ef6.parquet",
-      "sha256": "74a7bf73ecdf5ef65763380fa98773d2047d5b6e56a37a2f9e27dfa9e1243299",
-      "bytes": 26180,
-      "rows": 1,
-      "revision": "e8b8b0ffca5026f9392531add8f276bc96dc172b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26560",
     "goedel_workbook:lean_workbook_26562",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004021.lean\",\"8c14af71f98bd03089af3b641aca02c8221e6fbcdcce3493f44977b8e765a008\",0,\"lean_workbook_26622\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004022.lean\",\"f18d9e693bbc41fe664b4ee628189b9b58a1f9a2e0bb82bb77dd3c295132f9b6\",0,\"lean_workbook_26623\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004023.lean\",\"13480df4e7694dd4414aa2ce4568356853f33da2708b6a1ed17045213d43796d\",0,\"lean_workbook_26624\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180774,
+      "path": "data/train/p09/goedel_workbook-000160-0000-2558f4a06ba6756e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "2558f4a06ba6756e98ea02baba05e426d4a8ee1440ef987f7b9b641c223760a6"
+    },
+    {
+      "bytes": 26180,
+      "path": "data/internal_test/p09/goedel_workbook-000160-0000-74a7bf73ecdf5ef6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "74a7bf73ecdf5ef65763380fa98773d2047d5b6e56a37a2f9e27dfa9e1243299"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000161.json b/manifests/batches/goedel_workbook/000161.json
index 94f86c6a920c57ba8ecf25b3723f919c75dc7de2..d6b4a8db3324fce6cee182e9fae60cd2cf260de5 100644
--- a/manifests/batches/goedel_workbook/000161.json
+++ b/manifests/batches/goedel_workbook/000161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000161",
   "batch_fingerprint": "5e0ecf99c22f9c79eaa7b51adc99dc5991d257ae128dc2eabf490adc5fdc470c",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000161-0000-5bb668d7d8758485.parquet",
-      "sha256": "5bb668d7d87584852deac02cd422a5e2feb892601f9e0ac26b9482901a90b53d",
-      "bytes": 69028,
-      "rows": 18,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000161-0000-c0e9c16deb0aa040.parquet",
-      "sha256": "c0e9c16deb0aa040fd100381ed30d76d9d80b1aff668ddcb650bbd20f8af49c7",
-      "bytes": 57041,
-      "rows": 4,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000161-0000-8cadbba6e33162e4.parquet",
-      "sha256": "8cadbba6e33162e466122ec14b18969c8ebc1f97e8f3070aa6822b3e754bee28",
-      "bytes": 70256,
-      "rows": 10,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26643",
     "goedel_workbook:lean_workbook_26647",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004045.lean\",\"00cff58b9d64a5e356847361c02e8508ec31e23092db3b37aa64687d126b8e67\",0,\"lean_workbook_26689\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004047.lean\",\"4ee2178bbd52162c66b1791b0ab4087f5fc52762d47171aa8242724c3b14a012\",0,\"lean_workbook_26714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004048.lean\",\"efbb5b391a06bc516b0dda0f36d72bc3acfb140e68bfb0217697f1d7b63fd8f1\",0,\"lean_workbook_26717\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69028,
+      "path": "data/train/pb8/goedel_workbook-000161-0000-5bb668d7d8758485.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5bb668d7d87584852deac02cd422a5e2feb892601f9e0ac26b9482901a90b53d"
+    },
+    {
+      "bytes": 57041,
+      "path": "data/dev/pb8/goedel_workbook-000161-0000-c0e9c16deb0aa040.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c0e9c16deb0aa040fd100381ed30d76d9d80b1aff668ddcb650bbd20f8af49c7"
+    },
+    {
+      "bytes": 70256,
+      "path": "data/internal_test/pb8/goedel_workbook-000161-0000-8cadbba6e33162e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8cadbba6e33162e466122ec14b18969c8ebc1f97e8f3070aa6822b3e754bee28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000162.json b/manifests/batches/goedel_workbook/000162.json
index 1b721068f216915d02e44e5fed3a0b2aaf80012d..b5a64d9b6fd3f20b3501a18b8078f0de89ea8ab0 100644
--- a/manifests/batches/goedel_workbook/000162.json
+++ b/manifests/batches/goedel_workbook/000162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000162",
   "batch_fingerprint": "d0a322f650b492c511ef6b44d60be37b196591a9c8ec67be85f5262e879ce851",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000162-0000-3e668950509fe3b7.parquet",
-      "sha256": "3e668950509fe3b7e7cc2a44b91edd9572467cc9db7cd565037e4854d869c486",
-      "bytes": 259460,
-      "rows": 53,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000162-0000-228e529361e07f73.parquet",
-      "sha256": "228e529361e07f73836e9554d3fda85ab398c8f0f88286d39bdcb900f4acbf2e",
-      "bytes": 33820,
-      "rows": 2,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26723",
     "goedel_workbook:lean_workbook_26728",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004071.lean\",\"55460b5e21b965b3d64d9212db704ce97f3a2b7cf3fab45274e2a1e36be72ea5\",0,\"lean_workbook_26824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004072.lean\",\"4dd8508c7f621a7f0385019bee6bcd4fb2173f3b7edeeeac79ee191f2eae7a8e\",0,\"lean_workbook_26825\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004073.lean\",\"066e7354e26c6fff1e87eaad40fbf7ea57698ed56eff9d217835f2e491e60095\",0,\"lean_workbook_26827\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259460,
+      "path": "data/train/p88/goedel_workbook-000162-0000-3e668950509fe3b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "3e668950509fe3b7e7cc2a44b91edd9572467cc9db7cd565037e4854d869c486"
+    },
+    {
+      "bytes": 33820,
+      "path": "data/internal_test/p88/goedel_workbook-000162-0000-228e529361e07f73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "228e529361e07f73836e9554d3fda85ab398c8f0f88286d39bdcb900f4acbf2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000163.json b/manifests/batches/goedel_workbook/000163.json
index 2624618bc789ec89b666e8439f2451f1e945936b..a75534bd624f47a594fb5d45a40940c5909df20f 100644
--- a/manifests/batches/goedel_workbook/000163.json
+++ b/manifests/batches/goedel_workbook/000163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000163",
   "batch_fingerprint": "dc5c896babfe05e92c0dfbff37d76e85a5c87baa048b250b4d4e987ed613e1fe",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000163-0000-9d5284461f98114d.parquet",
-      "sha256": "9d5284461f98114db57228bfe174f140cfa283e709ee795891c1483eda2e7738",
-      "bytes": 184037,
-      "rows": 49,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000163-0000-ac87da933c43dd2c.parquet",
-      "sha256": "ac87da933c43dd2c7da831f2dea245f8029b613b8ce1a756112d87b872a0acc8",
-      "bytes": 55663,
-      "rows": 5,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000163-0000-4f52b3e5d0f7b488.parquet",
-      "sha256": "4f52b3e5d0f7b48895bfc300c5da9cd54cba23db6652b8e15b2273936a9ad78c",
-      "bytes": 38421,
-      "rows": 3,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26855",
     "goedel_workbook:lean_workbook_26859",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004096.lean\",\"6b800779455b777a1a5dadee61a4a8baaeaa35a3a226a43bbcde83d82895156f\",0,\"lean_workbook_26920\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004097.lean\",\"3ed468b5e3d7501fd9a20da8421bec075c2752146f7b558ff124f3a4ab0d71ee\",0,\"lean_workbook_26921\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004098.lean\",\"7c2155c2d5c848895a420f213d485202df89061dbab520ea90f779e6e0974dfc\",0,\"lean_workbook_26923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184037,
+      "path": "data/train/pa8/goedel_workbook-000163-0000-9d5284461f98114d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "9d5284461f98114db57228bfe174f140cfa283e709ee795891c1483eda2e7738"
+    },
+    {
+      "bytes": 55663,
+      "path": "data/dev/pa8/goedel_workbook-000163-0000-ac87da933c43dd2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ac87da933c43dd2c7da831f2dea245f8029b613b8ce1a756112d87b872a0acc8"
+    },
+    {
+      "bytes": 38421,
+      "path": "data/internal_test/pa8/goedel_workbook-000163-0000-4f52b3e5d0f7b488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4f52b3e5d0f7b48895bfc300c5da9cd54cba23db6652b8e15b2273936a9ad78c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000164.json b/manifests/batches/goedel_workbook/000164.json
index 0205d682b92be105efecd197fcf11b95a351a251..b0139927cb5a0ee1ceafa645b50b13ad8deb23dc 100644
--- a/manifests/batches/goedel_workbook/000164.json
+++ b/manifests/batches/goedel_workbook/000164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000164",
   "batch_fingerprint": "67f67ba7c4b47c95ac78dfd8029f137bb11f618e37b5bcf68ed681a84d6059db",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000164-0000-d6e58d46df91d4fa.parquet",
-      "sha256": "d6e58d46df91d4fad57a754e39b34a3a24749cf0c26245362420c6de1cc72e1c",
-      "bytes": 168385,
-      "rows": 32,
-      "revision": "d5440c3ad0cb3f9312ce551f507ab543e66c7a58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_26956",
     "goedel_workbook:lean_workbook_26960",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004122.lean\",\"3bf571e2044bac3a7837dbe4255bc2ae9690fc4204fef86de0de8b613f2c95a7\",0,\"lean_workbook_27023\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004123.lean\",\"78afe7b314a364f1ed2a430fa5ca4e7f068d579256491f4d4bc73a688e33e671\",0,\"lean_workbook_27024\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004124.lean\",\"26c36dd3c7b16426dd2e67eba9373e36041e739bab73fbf38b7aa121093620b9\",0,\"lean_workbook_27034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168385,
+      "path": "data/train/pc1/goedel_workbook-000164-0000-d6e58d46df91d4fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "d6e58d46df91d4fad57a754e39b34a3a24749cf0c26245362420c6de1cc72e1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000165.json b/manifests/batches/goedel_workbook/000165.json
index cf1a0500f848c5ef7b45d61e260de4499dfe2243..864c47be71c8162f2d6d7fe35e8aaf9ec81b7d98 100644
--- a/manifests/batches/goedel_workbook/000165.json
+++ b/manifests/batches/goedel_workbook/000165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000165",
   "batch_fingerprint": "779a21b93e88b10afda7ad6cc64d8e63adce0076bcc87189c838b0f86c35c286",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000165-0000-63d744fe26d7ef5d.parquet",
-      "sha256": "63d744fe26d7ef5d51fdb707b88c4aba23501871f7ec2909aee9daf73bf33538",
-      "bytes": 119564,
-      "rows": 31,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000165-0000-58b731df9c906d4e.parquet",
-      "sha256": "58b731df9c906d4e6846029be759d4133d97f9fd741f19faa9488d3d605d2189",
-      "bytes": 41653,
-      "rows": 4,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000165-0000-e0eee6d911690298.parquet",
-      "sha256": "e0eee6d911690298e5f0249a1624962a35c4aab68d667cb38067aa3289e76c09",
-      "bytes": 51042,
-      "rows": 7,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27049",
     "goedel_workbook:lean_workbook_27061",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004147.lean\",\"85776f45e357003e2801eca43f8b8ab790747b561bc3f330217916ba3488a2f5\",0,\"lean_workbook_27116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004148.lean\",\"d876a7fccf6a58905c3efd07e85f87ac73eb2c7c881ad6e2542da9c4960c74df\",0,\"lean_workbook_27119\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004149.lean\",\"5cc9bda9b340fe6e536f37bfd5e93d09667f805061ba8d9c222f64bf380f96b1\",0,\"lean_workbook_27121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119564,
+      "path": "data/train/p6b/goedel_workbook-000165-0000-63d744fe26d7ef5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "63d744fe26d7ef5d51fdb707b88c4aba23501871f7ec2909aee9daf73bf33538"
+    },
+    {
+      "bytes": 41653,
+      "path": "data/dev/p6b/goedel_workbook-000165-0000-58b731df9c906d4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "58b731df9c906d4e6846029be759d4133d97f9fd741f19faa9488d3d605d2189"
+    },
+    {
+      "bytes": 51042,
+      "path": "data/internal_test/p6b/goedel_workbook-000165-0000-e0eee6d911690298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e0eee6d911690298e5f0249a1624962a35c4aab68d667cb38067aa3289e76c09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000166.json b/manifests/batches/goedel_workbook/000166.json
index 047c3da96f6c0d47f5c88282f37f9bf67e9f6de1..9373a1022b44145a5119b54cac92f26b0112ccfe 100644
--- a/manifests/batches/goedel_workbook/000166.json
+++ b/manifests/batches/goedel_workbook/000166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000166",
   "batch_fingerprint": "f996b5cdfe443884197d8fa4110f49f816a816986b0f440825751086a4bc2f06",
   "evidence": {
@@ -163,15 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000166-0000-e053a638cc771355.parquet",
-      "sha256": "e053a638cc7713556e0a22bfe349f354c7197c8e095c837ba350f7e923eb32bb",
-      "bytes": 170277,
-      "rows": 51,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27148",
     "goedel_workbook:lean_workbook_27150",
@@ -209,5 +200,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004172.lean\",\"2ba7cf1fcd40486a91aa674b5ac64f2acdce173208d35fc2a29a0cbfd60627b2\",0,\"lean_workbook_27220\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004173.lean\",\"25cf87f1053927e2c35ab6d41bba2d7cf79148c627647e48757e084ea25f1b1b\",0,\"lean_workbook_27228\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004174.lean\",\"3a0ded30e3b1eb12232bf0e4916d7e580b9505fad48a57c2e9038d227b8cc90c\",0,\"lean_workbook_27229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170277,
+      "path": "data/train/p1d/goedel_workbook-000166-0000-e053a638cc771355.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "e053a638cc7713556e0a22bfe349f354c7197c8e095c837ba350f7e923eb32bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000167.json b/manifests/batches/goedel_workbook/000167.json
index 884033463409d2ee9fa02a3d16c3a90d7c368af0..4b4e388d3211e5c1d050c3bedcbe99d4142a2238 100644
--- a/manifests/batches/goedel_workbook/000167.json
+++ b/manifests/batches/goedel_workbook/000167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000167",
   "batch_fingerprint": "569d046c7f7aff27de54eb07b7166fc321f599ee8cc690f21430ceccd04c854e",
   "evidence": {
@@ -307,29 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000167-0000-1a38612c94ee900a.parquet",
-      "sha256": "1a38612c94ee900a63d9181bd3bfc9835dfbb586ce515f9b4aad84e823ee5e07",
-      "bytes": 118527,
-      "rows": 29,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000167-0000-36e6934abbbf5c7d.parquet",
-      "sha256": "36e6934abbbf5c7dd451fe6bc1b93cc81eb5dd261f2420b13417b24061ab7848",
-      "bytes": 32891,
-      "rows": 2,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000167-0000-46b469595d313a37.parquet",
-      "sha256": "46b469595d313a3771b8bed12f0b2d7db2d1e7193fb7ce26366d2305da56d891",
-      "bytes": 58087,
-      "rows": 6,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27246",
     "goedel_workbook:lean_workbook_27259",
@@ -351,5 +328,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004192.lean\",\"0dc279a9be6a7c5913918638d072c585a9bc3a243dca646a6ae5b66c130881b3\",0,\"lean_workbook_27303\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004195.lean\",\"854c7f5514854e5a5d131c3aab716c457f8c1bb88f1e5592652fa6483f632755\",0,\"lean_workbook_27310\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004198.lean\",\"f365fc17ee13adca34629f62c66165a0db0a865cf06e0efd3cfcf9818323b244\",0,\"lean_workbook_27327\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118527,
+      "path": "data/train/pb9/goedel_workbook-000167-0000-1a38612c94ee900a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1a38612c94ee900a63d9181bd3bfc9835dfbb586ce515f9b4aad84e823ee5e07"
+    },
+    {
+      "bytes": 32891,
+      "path": "data/dev/pb9/goedel_workbook-000167-0000-36e6934abbbf5c7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36e6934abbbf5c7dd451fe6bc1b93cc81eb5dd261f2420b13417b24061ab7848"
+    },
+    {
+      "bytes": 58087,
+      "path": "data/internal_test/pb9/goedel_workbook-000167-0000-46b469595d313a37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "46b469595d313a3771b8bed12f0b2d7db2d1e7193fb7ce26366d2305da56d891"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000168.json b/manifests/batches/goedel_workbook/000168.json
index 22c559c2e545f986c467290e514bf49df1dc7843..1be192fdc119d0e2d6cd40c4432338778ac1e531 100644
--- a/manifests/batches/goedel_workbook/000168.json
+++ b/manifests/batches/goedel_workbook/000168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000168",
   "batch_fingerprint": "8ab09941226c809a5c8d725cec3e2b2a4a28d353ac173acc9915eff2f524daf1",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000168-0000-f381c312bae73f33.parquet",
-      "sha256": "f381c312bae73f335de4efcc778bdae4f4490ed05b0d2ecfb1567eb323b5a082",
-      "bytes": 226593,
-      "rows": 44,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000168-0000-e4f7b905fb540d9f.parquet",
-      "sha256": "e4f7b905fb540d9feee0844a86eecdd60b5546e9c886eac21e29a96d28041e31",
-      "bytes": 32876,
-      "rows": 1,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000168-0000-92a293d0b2ead28c.parquet",
-      "sha256": "92a293d0b2ead28c17189d1ba1cfcd1c167d53ea5833567a592eb52dec20c98f",
-      "bytes": 50412,
-      "rows": 7,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27337",
     "goedel_workbook:lean_workbook_27339",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004220.lean\",\"65e96a4b178890f44d788c518dc44994d116d7ce833647f25f9b26caba5abf36\",0,\"lean_workbook_2743\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004223.lean\",\"3c850840305778e6f9bdd2f0673c3ac0b8dfd65d20587d2af91ea40a626859a0\",0,\"lean_workbook_27436\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004224.lean\",\"7280890d1f20dcd77089cb51baf70c0f4a628d9459a40f929a8cad714d9d096b\",0,\"lean_workbook_27437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226593,
+      "path": "data/train/p86/goedel_workbook-000168-0000-f381c312bae73f33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "f381c312bae73f335de4efcc778bdae4f4490ed05b0d2ecfb1567eb323b5a082"
+    },
+    {
+      "bytes": 32876,
+      "path": "data/dev/p86/goedel_workbook-000168-0000-e4f7b905fb540d9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e4f7b905fb540d9feee0844a86eecdd60b5546e9c886eac21e29a96d28041e31"
+    },
+    {
+      "bytes": 50412,
+      "path": "data/internal_test/p86/goedel_workbook-000168-0000-92a293d0b2ead28c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "92a293d0b2ead28c17189d1ba1cfcd1c167d53ea5833567a592eb52dec20c98f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000169.json b/manifests/batches/goedel_workbook/000169.json
index 1b7fc8d3010f528ffc990afa2b38c6cc7533a325..e6c206fadb9738ff2fa29003e4ea08cc7f2334b5 100644
--- a/manifests/batches/goedel_workbook/000169.json
+++ b/manifests/batches/goedel_workbook/000169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000169",
   "batch_fingerprint": "d214c30907ae8a0c90afbb28f28e3f11e7a069c14137ea568282e4a6cd72f591",
   "evidence": {
@@ -254,22 +253,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000169-0000-fc9171551a5128f3.parquet",
-      "sha256": "fc9171551a5128f3236d7bd0eac6c392d0b43379c308b9a9f472eb094081c2db",
-      "bytes": 113343,
-      "rows": 28,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000169-0000-8e7c621f16656085.parquet",
-      "sha256": "8e7c621f16656085c63258aa4c0b66e97645bad256b170142b64772f5c871ddd",
-      "bytes": 47390,
-      "rows": 4,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27438",
     "goedel_workbook:lean_workbook_27439",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004245.lean\",\"af91792968e52970a4eef296ffe8513733bd30bc7d9a894783a6966beb47bd21\",0,\"lean_workbook_27516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004247.lean\",\"ce18146bcb4f4de25c42552dc2015e4b4e5f5111bf3c68d1ba827ca72409d817\",0,\"lean_workbook_27522\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004249.lean\",\"ff68f1c550d84408005693ba20ed67a174a931e17a1b3d3500e28266075edd8b\",0,\"lean_workbook_27536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113343,
+      "path": "data/train/p61/goedel_workbook-000169-0000-fc9171551a5128f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "fc9171551a5128f3236d7bd0eac6c392d0b43379c308b9a9f472eb094081c2db"
+    },
+    {
+      "bytes": 47390,
+      "path": "data/internal_test/p61/goedel_workbook-000169-0000-8e7c621f16656085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8e7c621f16656085c63258aa4c0b66e97645bad256b170142b64772f5c871ddd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000170.json b/manifests/batches/goedel_workbook/000170.json
index c744644ded8260ae47003d3bf4a7a9082dc90c99..dd268f6b396f54180194e13e53bd913f4f8b7b35 100644
--- a/manifests/batches/goedel_workbook/000170.json
+++ b/manifests/batches/goedel_workbook/000170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000170",
   "batch_fingerprint": "b38a0f0295b469cfbf4e83b4de4dae6a48ad60562cde6e750e76b6c24a9f66c0",
   "evidence": {
@@ -218,22 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000170-0000-7576fbb677b29482.parquet",
-      "sha256": "7576fbb677b29482f493c51ae86bd0fd57d71cfe4e013b73e3939afd1a5aea99",
-      "bytes": 94355,
-      "rows": 24,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000170-0000-fefd6e29aa466992.parquet",
-      "sha256": "fefd6e29aa4669924a9c5cba1e9570efe68ab0c1af229e5c9e56f948cfab9e9c",
-      "bytes": 52340,
-      "rows": 9,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27540",
     "goedel_workbook:lean_workbook_27544",
@@ -265,5 +249,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004270.lean\",\"ad02cefdc45790d311a03ad7ef987c57a87ca756d7a8f61ee322f3c2f2eedca9\",0,\"lean_workbook_27624\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004273.lean\",\"e6e4d11998c75f5956aa8f160af131dd848b338e3a28fc2062c308335721d402\",0,\"lean_workbook_27630\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004274.lean\",\"49db995f891a171946f5b130410bc86348304289b45f9efd670712c32f2ed94f\",0,\"lean_workbook_27631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94355,
+      "path": "data/train/pd2/goedel_workbook-000170-0000-7576fbb677b29482.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7576fbb677b29482f493c51ae86bd0fd57d71cfe4e013b73e3939afd1a5aea99"
+    },
+    {
+      "bytes": 52340,
+      "path": "data/internal_test/pd2/goedel_workbook-000170-0000-fefd6e29aa466992.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fefd6e29aa4669924a9c5cba1e9570efe68ab0c1af229e5c9e56f948cfab9e9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000171.json b/manifests/batches/goedel_workbook/000171.json
index 76fcdd4671c18284fb4adfd03d76acd81703b3ad..ac255852134acf69682f5b0d0c8bca7c1bb15ed0 100644
--- a/manifests/batches/goedel_workbook/000171.json
+++ b/manifests/batches/goedel_workbook/000171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000171",
   "batch_fingerprint": "523094a8390b5b15188771dd2560f27fbc743bc804a981444625decc065aed37",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000171-0000-b259319e3a4c0ceb.parquet",
-      "sha256": "b259319e3a4c0ceb3d39c04aee1132bb539a1996c03193934f32dbcabeb96048",
-      "bytes": 99764,
-      "rows": 23,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000171-0000-cd953ee011f6ca62.parquet",
-      "sha256": "cd953ee011f6ca629c86cc87c9940ad8967fe64d8e7afcf594405000d6b2dde2",
-      "bytes": 61714,
-      "rows": 8,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000171-0000-15d8c70a1b85dbe5.parquet",
-      "sha256": "15d8c70a1b85dbe5367aeede48e210ccad9123ff81375fd3bce7fb7e2a5c9679",
-      "bytes": 43627,
-      "rows": 5,
-      "revision": "ff404aff073997f492fc6bc5173b0e52dfc3ecd5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27642",
     "goedel_workbook:lean_workbook_2765",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004297.lean\",\"7867506160870b2a5f1f71d44a09f394abbe985dc47b5b9365021f79f9847b4a\",0,\"lean_workbook_27737\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004298.lean\",\"08a6fd49c1a0ca6ca045f35fcce7ee502435bcc0254bce792f47485defdf0dca\",0,\"lean_workbook_27741\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004299.lean\",\"5d3ad7f2fd3ecf98ea95fc9ccad8a3d7665ca484e737da18a05f96047110314f\",0,\"lean_workbook_27744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99764,
+      "path": "data/train/p41/goedel_workbook-000171-0000-b259319e3a4c0ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b259319e3a4c0ceb3d39c04aee1132bb539a1996c03193934f32dbcabeb96048"
+    },
+    {
+      "bytes": 61714,
+      "path": "data/dev/p41/goedel_workbook-000171-0000-cd953ee011f6ca62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cd953ee011f6ca629c86cc87c9940ad8967fe64d8e7afcf594405000d6b2dde2"
+    },
+    {
+      "bytes": 43627,
+      "path": "data/internal_test/p41/goedel_workbook-000171-0000-15d8c70a1b85dbe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "15d8c70a1b85dbe5367aeede48e210ccad9123ff81375fd3bce7fb7e2a5c9679"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000172.json b/manifests/batches/goedel_workbook/000172.json
index c75a94d9b048ffa19b871dbcfd20d055139554ab..6d7c34d70ca35fac078780669eb869ed254a58f8 100644
--- a/manifests/batches/goedel_workbook/000172.json
+++ b/manifests/batches/goedel_workbook/000172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000172",
   "batch_fingerprint": "129ffe50c49319aa88897ea7bcb9790f371879a9408703d0632e426861221a7b",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000172-0000-5cf6b700240daf71.parquet",
-      "sha256": "5cf6b700240daf711d99aa2a7216ec3c8540e38993752161758be54b9a5ed462",
-      "bytes": 212369,
-      "rows": 39,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000172-0000-cac7ed8dcb26f25d.parquet",
-      "sha256": "cac7ed8dcb26f25d4cb9f8ac4662b475fea3f45b30afe92ee881801c8c62943c",
-      "bytes": 44348,
-      "rows": 8,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27746",
     "goedel_workbook:lean_workbook_27754",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004321.lean\",\"43afe6777291f4d02cb61f116a0a27c13a210a93ce6820027dd2c3deff76bdbb\",0,\"lean_workbook_27827\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004322.lean\",\"77dd9caf98f87402a5d3dacbda1ebab305a57d7d6995bf1313f52c91d4974e45\",0,\"lean_workbook_27843\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004323.lean\",\"31c02e636ab65ba34d9fc262af0a55e1c485a06f8e3b327181100eeaecf717c7\",0,\"lean_workbook_27850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212369,
+      "path": "data/train/p21/goedel_workbook-000172-0000-5cf6b700240daf71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "5cf6b700240daf711d99aa2a7216ec3c8540e38993752161758be54b9a5ed462"
+    },
+    {
+      "bytes": 44348,
+      "path": "data/dev/p21/goedel_workbook-000172-0000-cac7ed8dcb26f25d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cac7ed8dcb26f25d4cb9f8ac4662b475fea3f45b30afe92ee881801c8c62943c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000173.json b/manifests/batches/goedel_workbook/000173.json
index 1b4bf8ff47a42ce5d27442d41ca8af6d30effd0f..93cbe99548c5d2ff119741b31b08f2364dc99d69 100644
--- a/manifests/batches/goedel_workbook/000173.json
+++ b/manifests/batches/goedel_workbook/000173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000173",
   "batch_fingerprint": "1a2f3e4f92ae0662497ac9a5e6d83251737ffa72900de81d3d1cadf323727f9f",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000173-0000-822caa7eaf46343a.parquet",
-      "sha256": "822caa7eaf46343a34bac18d6fa5f61aeb13742146a2452175fbb821359dbb27",
-      "bytes": 98507,
-      "rows": 26,
-      "revision": "b2f5de80d18850bc286f561ff2efe8c5025acbab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000173-0000-2cb65bc5050d0bb3.parquet",
-      "sha256": "2cb65bc5050d0bb3f8afb9f56bc29cc9eeb7e1ff8affe419a115c9b9aba70f10",
-      "bytes": 57938,
-      "rows": 9,
-      "revision": "b2f5de80d18850bc286f561ff2efe8c5025acbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27865",
     "goedel_workbook:lean_workbook_27877",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004343.lean\",\"8bdf7bf60850e4454345d2fe58b57dff15c03452cf808e7b41629f907e72637e\",0,\"lean_workbook_27923\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004344.lean\",\"f8f93422079774c54341138819c855835a26d1c36c98fc091f92ccda8f022e79\",0,\"lean_workbook_27924\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004346.lean\",\"16c5bc00f6987da020830a531f3c72fccefaa624775f5f1f58610dc6ca388c59\",0,\"lean_workbook_2793\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98507,
+      "path": "data/train/p8c/goedel_workbook-000173-0000-822caa7eaf46343a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "822caa7eaf46343a34bac18d6fa5f61aeb13742146a2452175fbb821359dbb27"
+    },
+    {
+      "bytes": 57938,
+      "path": "data/internal_test/p8c/goedel_workbook-000173-0000-2cb65bc5050d0bb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2cb65bc5050d0bb3f8afb9f56bc29cc9eeb7e1ff8affe419a115c9b9aba70f10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000174.json b/manifests/batches/goedel_workbook/000174.json
index 41a7ebade707a3c88aab48ac36d67f944005707a..732df8812d52b52018cc641420529e7c0f317c6d 100644
--- a/manifests/batches/goedel_workbook/000174.json
+++ b/manifests/batches/goedel_workbook/000174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000174",
   "batch_fingerprint": "7ad3c7ce8f6748dc9417111ef6614a96da7937014dcce5d98989295aa7873775",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000174-0000-02802e990df91989.parquet",
-      "sha256": "02802e990df91989a73344ddd84559f6f116242bfc1d70eafcbc4aca4ba73f47",
-      "bytes": 112265,
-      "rows": 31,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000174-0000-f671e8769e47932c.parquet",
-      "sha256": "f671e8769e47932c3940e047b2967fcdb32bd6ede71bd640e30ec6aaffa48040",
-      "bytes": 42575,
-      "rows": 2,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_27955",
     "goedel_workbook:lean_workbook_27962",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004367.lean\",\"a1867595324c6c36f7eef1313745fdf65386cba60a1e4ae29a518f3c02f51ab6\",0,\"lean_workbook_28018\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004368.lean\",\"5690e6fb8730578dfa492a032e2cce11e27923e6c6d9a92f74a57628158afaaa\",0,\"lean_workbook_28023\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004371.lean\",\"55e02774e011505138649f4e22a0241e1dc1e1f9af0fc3cc05913e13fd5fa64c\",0,\"lean_workbook_28039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112265,
+      "path": "data/train/pc8/goedel_workbook-000174-0000-02802e990df91989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "02802e990df91989a73344ddd84559f6f116242bfc1d70eafcbc4aca4ba73f47"
+    },
+    {
+      "bytes": 42575,
+      "path": "data/internal_test/pc8/goedel_workbook-000174-0000-f671e8769e47932c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f671e8769e47932c3940e047b2967fcdb32bd6ede71bd640e30ec6aaffa48040"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000175.json b/manifests/batches/goedel_workbook/000175.json
index 085b224c383c5b00f204c83f2fd0d32dc6272849..696d4342bda5d83b0471f336794d537e9b8b8d62 100644
--- a/manifests/batches/goedel_workbook/000175.json
+++ b/manifests/batches/goedel_workbook/000175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000175",
   "batch_fingerprint": "d2d38c344388e9dbdc3bb839018405e5a55c147b864f152256d51e1e7885893b",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000175-0000-30c500eb9edebff9.parquet",
-      "sha256": "30c500eb9edebff962b019337270c8e853a74bd628c3d94258d492ae618db274",
-      "bytes": 89778,
-      "rows": 22,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000175-0000-0cdf2346cdd0837a.parquet",
-      "sha256": "0cdf2346cdd0837a4c08070ab049692bc83005877b187bf28246b2808856cc44",
-      "bytes": 65870,
-      "rows": 5,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000175-0000-c308ae67933a8724.parquet",
-      "sha256": "c308ae67933a872438a0ac43944d1eea11e3e1b8754475f8e8216bc9d4d164d3",
-      "bytes": 41794,
-      "rows": 4,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28049",
     "goedel_workbook:lean_workbook_2805",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004397.lean\",\"ac134e6d26918acdb134a325b0068c350c9965a4253bbf6a247f04d551b7b9b1\",0,\"lean_workbook_28161\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004398.lean\",\"db8b127b3baf37852826d5dd2ae6e1f1291105dfc415109117eb58ce56f1993e\",0,\"lean_workbook_28162\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004399.lean\",\"3b35b4bb4c061b0b789cfc5709fae0008223291d92cc04872fce64490bff06ef\",0,\"lean_workbook_28163\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89778,
+      "path": "data/train/p61/goedel_workbook-000175-0000-30c500eb9edebff9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "30c500eb9edebff962b019337270c8e853a74bd628c3d94258d492ae618db274"
+    },
+    {
+      "bytes": 65870,
+      "path": "data/dev/p61/goedel_workbook-000175-0000-0cdf2346cdd0837a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0cdf2346cdd0837a4c08070ab049692bc83005877b187bf28246b2808856cc44"
+    },
+    {
+      "bytes": 41794,
+      "path": "data/internal_test/p61/goedel_workbook-000175-0000-c308ae67933a8724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c308ae67933a872438a0ac43944d1eea11e3e1b8754475f8e8216bc9d4d164d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000176.json b/manifests/batches/goedel_workbook/000176.json
index 698a310d6da951e944e506f0361cca6fb224b945..4798631d1aa73cf397841beed83681f93d1f9de6 100644
--- a/manifests/batches/goedel_workbook/000176.json
+++ b/manifests/batches/goedel_workbook/000176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000176",
   "batch_fingerprint": "996bdc6bb22ac7f31977ff040bb45005d021d123aa1861aae49a3f56d03dea7f",
   "evidence": {
@@ -262,29 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000176-0000-939043e0e6723618.parquet",
-      "sha256": "939043e0e6723618fe5b07c4009deaca50fd20a7ef28d59bdfab515751c399c8",
-      "bytes": 104277,
-      "rows": 17,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000176-0000-f8396302d1c5f8fe.parquet",
-      "sha256": "f8396302d1c5f8fe8eca28cac6b9cc71ecd80704a503079df8b8a303ab662078",
-      "bytes": 48163,
-      "rows": 6,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000176-0000-2ec28ba690075a75.parquet",
-      "sha256": "2ec28ba690075a75aa0f5793f86df985733acc1d46bd4199c7063f4ca95c2b0f",
-      "bytes": 29219,
-      "rows": 2,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28167",
     "goedel_workbook:lean_workbook_28195",
@@ -312,5 +289,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004421.lean\",\"7b5d8d6a5bd3169bb56788c3968a4d6d8a847517da350658f16271e59c25c1db\",0,\"lean_workbook_28242\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004422.lean\",\"cc363e671ebaef8b50b4609d0a601e2b425f62c758c28be96e0db1fa0c9516d9\",0,\"lean_workbook_28252\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004424.lean\",\"208cc8a49b2f21a30956a1fd7da77871c4ddae464b09fb6bf3362666d8494882\",0,\"lean_workbook_28255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104277,
+      "path": "data/train/p45/goedel_workbook-000176-0000-939043e0e6723618.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "939043e0e6723618fe5b07c4009deaca50fd20a7ef28d59bdfab515751c399c8"
+    },
+    {
+      "bytes": 48163,
+      "path": "data/dev/p45/goedel_workbook-000176-0000-f8396302d1c5f8fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f8396302d1c5f8fe8eca28cac6b9cc71ecd80704a503079df8b8a303ab662078"
+    },
+    {
+      "bytes": 29219,
+      "path": "data/internal_test/p45/goedel_workbook-000176-0000-2ec28ba690075a75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2ec28ba690075a75aa0f5793f86df985733acc1d46bd4199c7063f4ca95c2b0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000177.json b/manifests/batches/goedel_workbook/000177.json
index 04fe3cb66e6080fde3880cb12e0cb42d36fe35ca..1ba8a45304bd2b6907ecff4bcfab811b6b5a77e1 100644
--- a/manifests/batches/goedel_workbook/000177.json
+++ b/manifests/batches/goedel_workbook/000177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000177",
   "batch_fingerprint": "0361ce232f6baa8bc8bbc52a28cf8de28fcc3dfb3493a2680f02dc2cebadc789",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000177-0000-94eaa03f529cd812.parquet",
-      "sha256": "94eaa03f529cd812f75426946fb0fbdbfb24a41d91f16eee20f14cc9297c1b65",
-      "bytes": 122842,
-      "rows": 27,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000177-0000-c6ff95033af1f8ce.parquet",
-      "sha256": "c6ff95033af1f8ceef61c7395f2f8c1f6909b2bd6b8766cd2952ed826a003d74",
-      "bytes": 39313,
-      "rows": 5,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000177-0000-3975d0bbb67cf3c8.parquet",
-      "sha256": "3975d0bbb67cf3c81411c750f04a1e924fadca6c211933b7f555047606165634",
-      "bytes": 54377,
-      "rows": 8,
-      "revision": "150367b324b0d6f35e170956f96d497c12a89eb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28258",
     "goedel_workbook:lean_workbook_28271",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004447.lean\",\"c0fbdc8345b1f137519125675d5b6aea59c85ec5caaba3bf4ae7b8912d4aa581\",0,\"lean_workbook_28335\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004448.lean\",\"1cc300918e2a59a1678262b166b4d04bd778af12d7a0373f316f75fa61613a41\",0,\"lean_workbook_28339\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004449.lean\",\"91c4b97c55bb10e9828804f831354bcd2852f9894870decf1c103cd563ab8da0\",0,\"lean_workbook_28343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122842,
+      "path": "data/train/p36/goedel_workbook-000177-0000-94eaa03f529cd812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "94eaa03f529cd812f75426946fb0fbdbfb24a41d91f16eee20f14cc9297c1b65"
+    },
+    {
+      "bytes": 39313,
+      "path": "data/dev/p36/goedel_workbook-000177-0000-c6ff95033af1f8ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c6ff95033af1f8ceef61c7395f2f8c1f6909b2bd6b8766cd2952ed826a003d74"
+    },
+    {
+      "bytes": 54377,
+      "path": "data/internal_test/p36/goedel_workbook-000177-0000-3975d0bbb67cf3c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3975d0bbb67cf3c81411c750f04a1e924fadca6c211933b7f555047606165634"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000178.json b/manifests/batches/goedel_workbook/000178.json
index 6a591558d7e80524390f1b9e621010d921bbbb48..b5fe5e7bc6ecfef03a9fbab4056a1e429ae8d529 100644
--- a/manifests/batches/goedel_workbook/000178.json
+++ b/manifests/batches/goedel_workbook/000178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000178",
   "batch_fingerprint": "be06c9c592cd6db67e530a5352383d48217aa1ad5d6c9249530e79f8fb3b2a61",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000178-0000-eef5c37f2151faec.parquet",
-      "sha256": "eef5c37f2151faec89472f21babf276542071b902125c4ace33448441ede761c",
-      "bytes": 92669,
-      "rows": 29,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000178-0000-d91faa59d32470ba.parquet",
-      "sha256": "d91faa59d32470bab2fd27f81f045d9766d261269401627c055bd658acffcc8d",
-      "bytes": 26264,
-      "rows": 1,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28347",
     "goedel_workbook:lean_workbook_28348",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004468.lean\",\"ea366fdeb7cf5e1a2e4cc9820f5cb2d8c94f22660900890c2a8e94d9817c806e\",0,\"lean_workbook_28454\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004472.lean\",\"db98f7da9c1d2c1adc1e10f192e5e8e6b65d5d4d212471a715cc443e79c1b691\",0,\"lean_workbook_28470\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004473.lean\",\"7d4a730571abb376e7b02729b1793230b7de536616a10dab28912de294204d5d\",0,\"lean_workbook_28474\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92669,
+      "path": "data/train/p8b/goedel_workbook-000178-0000-eef5c37f2151faec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "eef5c37f2151faec89472f21babf276542071b902125c4ace33448441ede761c"
+    },
+    {
+      "bytes": 26264,
+      "path": "data/internal_test/p8b/goedel_workbook-000178-0000-d91faa59d32470ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d91faa59d32470bab2fd27f81f045d9766d261269401627c055bd658acffcc8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000179.json b/manifests/batches/goedel_workbook/000179.json
index e0a4490e36169c236d02b6942c865898e5d2cd45..4ea60045be45140fcb3dbebc40b3469e0be5e6bd 100644
--- a/manifests/batches/goedel_workbook/000179.json
+++ b/manifests/batches/goedel_workbook/000179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000179",
   "batch_fingerprint": "a23a26636bd3a9180afb3b34d2ccf8699c65b132b943516fd5b2bc0434607dc7",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000179-0000-3b55dd1c3acc364c.parquet",
-      "sha256": "3b55dd1c3acc364cf18a24bed796c422988f01cd79b6a423a23cce6ab369298f",
-      "bytes": 94651,
-      "rows": 27,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000179-0000-76ee63d2f0175c5a.parquet",
-      "sha256": "76ee63d2f0175c5a1bf3c2523192b2f7e60cbf673989460ce85ff534c396ebce",
-      "bytes": 27399,
-      "rows": 1,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000179-0000-66baa80d4c7f8f5f.parquet",
-      "sha256": "66baa80d4c7f8f5f7bf39a78cee5b0a88ee646ff17d37d4d933765a57fab79db",
-      "bytes": 36718,
-      "rows": 8,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28481",
     "goedel_workbook:lean_workbook_28482",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004494.lean\",\"0ce884f0c180ef16251e6ed709eaa1ec261b0808131edb564e7a2d6614d382df\",0,\"lean_workbook_28554\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004495.lean\",\"70691fc7614456ab0f04c2cd12779829ff9636bb854334efb3fc7f34a8afb018\",0,\"lean_workbook_28556\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004499.lean\",\"8bcaa22611d596fbf447d4991545e4a7bdd4c0dee341cbb22f8cf331b354ff44\",0,\"lean_workbook_28575\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94651,
+      "path": "data/train/pb0/goedel_workbook-000179-0000-3b55dd1c3acc364c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3b55dd1c3acc364cf18a24bed796c422988f01cd79b6a423a23cce6ab369298f"
+    },
+    {
+      "bytes": 27399,
+      "path": "data/dev/pb0/goedel_workbook-000179-0000-76ee63d2f0175c5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76ee63d2f0175c5a1bf3c2523192b2f7e60cbf673989460ce85ff534c396ebce"
+    },
+    {
+      "bytes": 36718,
+      "path": "data/internal_test/pb0/goedel_workbook-000179-0000-66baa80d4c7f8f5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "66baa80d4c7f8f5f7bf39a78cee5b0a88ee646ff17d37d4d933765a57fab79db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000180.json b/manifests/batches/goedel_workbook/000180.json
index 119b578697fe8a40c307a6fa62aabb2e6751f35f..8aa4fc9a28e29f9006053a6b0dc0cb87f2f4715f 100644
--- a/manifests/batches/goedel_workbook/000180.json
+++ b/manifests/batches/goedel_workbook/000180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000180",
   "batch_fingerprint": "4dc3b183a094cd970725964bbb87311df8f81059e635dfbe5a1a449de4c5df99",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000180-0000-0f1acde70578ff09.parquet",
-      "sha256": "0f1acde70578ff09f911e49a0fab2b5e1f2d6c13900c2b18eca3925ab76c5034",
-      "bytes": 135427,
-      "rows": 28,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000180-0000-9d1dfb2b79ccdafd.parquet",
-      "sha256": "9d1dfb2b79ccdafd7d5a722885046027755cf16a10e2172d56269e91548c6723",
-      "bytes": 47387,
-      "rows": 4,
-      "revision": "485f8e2653f2747b1bd45d40b27e394c30d35bf7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28585",
     "goedel_workbook:lean_workbook_28587",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004518.lean\",\"c8600299240571e93288f4d7a01867ea15f2d6281ca7ad36f9f4a1ca2e54c56a\",0,\"lean_workbook_28645\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004521.lean\",\"008da540a63cf6c34bd2af5b4050fa6e87729f6f3cf667ba3951a94cb33d33f1\",0,\"lean_workbook_28661\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004523.lean\",\"706d3bd6aaedad2e7afb86deab00478412105b558a63508529e53de5772578fa\",0,\"lean_workbook_28667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135427,
+      "path": "data/train/p53/goedel_workbook-000180-0000-0f1acde70578ff09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "0f1acde70578ff09f911e49a0fab2b5e1f2d6c13900c2b18eca3925ab76c5034"
+    },
+    {
+      "bytes": 47387,
+      "path": "data/internal_test/p53/goedel_workbook-000180-0000-9d1dfb2b79ccdafd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9d1dfb2b79ccdafd7d5a722885046027755cf16a10e2172d56269e91548c6723"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000181.json b/manifests/batches/goedel_workbook/000181.json
index 3a1d4a314d50534590bfe3709e6174caa5adb591..4eb70967d573c6b39b85ed76654e849355d7acf6 100644
--- a/manifests/batches/goedel_workbook/000181.json
+++ b/manifests/batches/goedel_workbook/000181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000181",
   "batch_fingerprint": "803ec2257795805643836231ee15c50663e621287f62337c4b408682d19da635",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000181-0000-3e251f5b15deefba.parquet",
-      "sha256": "3e251f5b15deefba80c92bd71327860399e1efdb1d83d153ae0361f3f859eb56",
-      "bytes": 98535,
-      "rows": 25,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000181-0000-66497075d231564c.parquet",
-      "sha256": "66497075d231564c583a856c33e3758bf6c0e1ab5b153ed84feecc872eb442cd",
-      "bytes": 39201,
-      "rows": 5,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28686",
     "goedel_workbook:lean_workbook_28693",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004547.lean\",\"acb1a928fbc8294826318f95eaffc0b0c2c7262d9bd4796bbae8f45832d110b1\",0,\"lean_workbook_28763\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004548.lean\",\"fd4f07dc4b4edb29a0f95b97b55bf05513e1fd5d2ff3b5f789945c3a9ab19a37\",0,\"lean_workbook_28765\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004549.lean\",\"6d3b5ebdaed3b9b39ef126a4c0b405a01177c13f6503f05c1d2d40fe2ed70f2f\",0,\"lean_workbook_28766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98535,
+      "path": "data/train/pca/goedel_workbook-000181-0000-3e251f5b15deefba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "3e251f5b15deefba80c92bd71327860399e1efdb1d83d153ae0361f3f859eb56"
+    },
+    {
+      "bytes": 39201,
+      "path": "data/dev/pca/goedel_workbook-000181-0000-66497075d231564c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "66497075d231564c583a856c33e3758bf6c0e1ab5b153ed84feecc872eb442cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000182.json b/manifests/batches/goedel_workbook/000182.json
index 9ff1f27b6d0d5a064b14d497056d820dcc3cb95f..74e9e4f6b52537cf04ea964f22c9f58387e59d6c 100644
--- a/manifests/batches/goedel_workbook/000182.json
+++ b/manifests/batches/goedel_workbook/000182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000182",
   "batch_fingerprint": "c6377c07b45da6cca0942da2c16caca2e9ee4e052944a757097e9d3a369c5771",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000182-0000-da4eb17c7aa93b61.parquet",
-      "sha256": "da4eb17c7aa93b61fa3fd78a96cf99784160d11288ca462bdf3c6d3461cb0aca",
-      "bytes": 101967,
-      "rows": 27,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000182-0000-41065f897a9d311f.parquet",
-      "sha256": "41065f897a9d311f227dc3a8290c0e6d13420a21db975ea43888312696c1c217",
-      "bytes": 35336,
-      "rows": 1,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28767",
     "goedel_workbook:lean_workbook_28770",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004568.lean\",\"2c8d65cbe643b464adc922c079afd56ae7e090c6e6bb019c7eb01bbd03c76baa\",0,\"lean_workbook_28859\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004569.lean\",\"8cfb36c5ff4759b00dd8c33924a65d44348c97eaac1ffb9b968274398ba8a880\",0,\"lean_workbook_28861\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004570.lean\",\"1b22ba0b2551add5c396ae2cbd0a86e2251ea0a341a26e317271eb738415aeb0\",0,\"lean_workbook_28866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101967,
+      "path": "data/train/p16/goedel_workbook-000182-0000-da4eb17c7aa93b61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "da4eb17c7aa93b61fa3fd78a96cf99784160d11288ca462bdf3c6d3461cb0aca"
+    },
+    {
+      "bytes": 35336,
+      "path": "data/internal_test/p16/goedel_workbook-000182-0000-41065f897a9d311f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "41065f897a9d311f227dc3a8290c0e6d13420a21db975ea43888312696c1c217"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000183.json b/manifests/batches/goedel_workbook/000183.json
index 0a74c4ddeee48976275aec59badceec3550b787a..b6a2b6987b30364b99bc72333cb6300004082f57 100644
--- a/manifests/batches/goedel_workbook/000183.json
+++ b/manifests/batches/goedel_workbook/000183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000183",
   "batch_fingerprint": "017738679d658bb1d8f5e9b36c0f723a5e8e7c7bab40ab73e142043f45085433",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000183-0000-cf6fa8c0eb90c112.parquet",
-      "sha256": "cf6fa8c0eb90c11216f8c78975c33d4d9c00dbd3aba890ca11a58ace6b197784",
-      "bytes": 169735,
-      "rows": 33,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000183-0000-d7dd9930c6f299a4.parquet",
-      "sha256": "d7dd9930c6f299a44e95ff5acfbc72432f8f541c126d507b7b662696b4d70f0e",
-      "bytes": 44410,
-      "rows": 7,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_28891",
     "goedel_workbook:lean_workbook_28896",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004594.lean\",\"ac5c66c816111cb7209fcefecd8643b1e7f9f16709c6028d77e5e149949585da\",0,\"lean_workbook_28978\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004596.lean\",\"dbfc82429ec3d7fdda83ace593c89a0b0dc3cc3c2f3add49740c6a5e481b3bbe\",0,\"lean_workbook_28986\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004598.lean\",\"c4ecb1211aa6f106d5b3f85d14b931912c8384d187ca5efcb1f73fd8734953fd\",0,\"lean_workbook_28995\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169735,
+      "path": "data/train/p19/goedel_workbook-000183-0000-cf6fa8c0eb90c112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "cf6fa8c0eb90c11216f8c78975c33d4d9c00dbd3aba890ca11a58ace6b197784"
+    },
+    {
+      "bytes": 44410,
+      "path": "data/dev/p19/goedel_workbook-000183-0000-d7dd9930c6f299a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d7dd9930c6f299a44e95ff5acfbc72432f8f541c126d507b7b662696b4d70f0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000184.json b/manifests/batches/goedel_workbook/000184.json
index 0cb1009824b42064a225810fd368495f22aa77c0..99a9019c781f5ca4230718dca01c8bbda36f8917 100644
--- a/manifests/batches/goedel_workbook/000184.json
+++ b/manifests/batches/goedel_workbook/000184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000184",
   "batch_fingerprint": "45aed7c65579a3ab96c8a9ed10f15e211bc4e4c9573acefb793d16dfe8b8f24e",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000184-0000-6f176e6fdfaee49a.parquet",
-      "sha256": "6f176e6fdfaee49a0d0011d8ccbed4b628ce3a870fdaea4fe1ae075755cb7f8f",
-      "bytes": 108955,
-      "rows": 28,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000184-0000-6ad991aea8c0b5ee.parquet",
-      "sha256": "6ad991aea8c0b5eef28634f14210d0f8d610ad1c0e06de4692682ff6e2767c7e",
-      "bytes": 36725,
-      "rows": 2,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000184-0000-de2929ca8853ce10.parquet",
-      "sha256": "de2929ca8853ce10dcf88141f1e9f833ddd81c6c24ff791e0c20a77e3ae4d621",
-      "bytes": 35642,
-      "rows": 2,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29",
     "goedel_workbook:lean_workbook_2900",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004618.lean\",\"d5a90a24d526fd59f6dbbea3e2cd668692648b607fe8045559e6595bf3ba11be\",0,\"lean_workbook_29091\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004620.lean\",\"026b1dec227a77b6e9861326259a23a2a73856d6a328105261ed37d33643c212\",0,\"lean_workbook_29102\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004624.lean\",\"4a59dfc55418dc79f8c02f6fb41e719335a43c168907688234f6b22a457edd9d\",0,\"lean_workbook_29115\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108955,
+      "path": "data/train/p36/goedel_workbook-000184-0000-6f176e6fdfaee49a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "6f176e6fdfaee49a0d0011d8ccbed4b628ce3a870fdaea4fe1ae075755cb7f8f"
+    },
+    {
+      "bytes": 36725,
+      "path": "data/dev/p36/goedel_workbook-000184-0000-6ad991aea8c0b5ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6ad991aea8c0b5eef28634f14210d0f8d610ad1c0e06de4692682ff6e2767c7e"
+    },
+    {
+      "bytes": 35642,
+      "path": "data/internal_test/p36/goedel_workbook-000184-0000-de2929ca8853ce10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de2929ca8853ce10dcf88141f1e9f833ddd81c6c24ff791e0c20a77e3ae4d621"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000185.json b/manifests/batches/goedel_workbook/000185.json
index 58a587931f409ae7d069843bace8c8a905c28d22..a042eab3ecec831f7666fc7d9862aa018f80b3dd 100644
--- a/manifests/batches/goedel_workbook/000185.json
+++ b/manifests/batches/goedel_workbook/000185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000185",
   "batch_fingerprint": "6d9b2e6a11b15ceea7a198779537c3f75adc50710e708ce0de89e31621a85b15",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000185-0000-c3ba3bc3d0ce6781.parquet",
-      "sha256": "c3ba3bc3d0ce67812332a605a4504e6ff6f641ae920b1fe42b3129c853c24db3",
-      "bytes": 149102,
-      "rows": 43,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000185-0000-0c0b9fe882066fa2.parquet",
-      "sha256": "0c0b9fe882066fa211f0dae31dfeac3d96614f5af536b38b70f64247c4ac8593",
-      "bytes": 31304,
-      "rows": 1,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29118",
     "goedel_workbook:lean_workbook_29119",
@@ -289,5 +273,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004645.lean\",\"83e5cb8063e113e41cfb0c06a530e7438fc55cecc8c5628cb6ece87a6935bc5b\",0,\"lean_workbook_29207\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004646.lean\",\"b6399a2eddea26151afd530688f365d9497a0c15b1fda571f0de65c3d37c7e57\",0,\"lean_workbook_29216\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004647.lean\",\"0e6d7a67c7ad40ac8db16353a4ca794ff9f0f6a4ba1530716de285173f2be1bf\",0,\"lean_workbook_29223\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149102,
+      "path": "data/train/pe0/goedel_workbook-000185-0000-c3ba3bc3d0ce6781.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "c3ba3bc3d0ce67812332a605a4504e6ff6f641ae920b1fe42b3129c853c24db3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000186.json b/manifests/batches/goedel_workbook/000186.json
index 44bd21dd90b469204ce95a45f94d050c03b54798..9edab1fcea336fa863fefd14902330764083394c 100644
--- a/manifests/batches/goedel_workbook/000186.json
+++ b/manifests/batches/goedel_workbook/000186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000186",
   "batch_fingerprint": "2a9a94670a2264032888a6a0d71689a33beff5aac5bb4824f3d22aeda421d2e1",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000186-0000-c88f0f748475d965.parquet",
-      "sha256": "c88f0f748475d96562bddd9df3f62ebe9b0527243206c14715464926b0300cd7",
-      "bytes": 242635,
-      "rows": 64,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000186-0000-669ef868d8964edd.parquet",
-      "sha256": "669ef868d8964edda7200ddbd742c97c7f8f43d0bb738611cdee7fe5c4a408e1",
-      "bytes": 58122,
-      "rows": 11,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000186-0000-c4bfec8d52e25831.parquet",
-      "sha256": "c4bfec8d52e25831d37f0266631455405a94e13733970627822bc54cfc3db928",
-      "bytes": 29475,
-      "rows": 2,
-      "revision": "6c36fbf1a52c78d588d9bc680bf9fa2e9ee49de7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29239",
     "goedel_workbook:lean_workbook_29242",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004669.lean\",\"6bb06c4240eb1d68a2166e84e3aae2e6ca5ae877c1157a3615728a3ee874ae62\",0,\"lean_workbook_29314\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004670.lean\",\"d1fafc677502d41fc11f20e52fe5a6b266e584c9081074599db0a36694456485\",0,\"lean_workbook_29318\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004673.lean\",\"0f87d59725b973ab07f203100751f6f8e70579cd17b56cd2216b23fa06da185b\",0,\"lean_workbook_29329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242635,
+      "path": "data/train/pa1/goedel_workbook-000186-0000-c88f0f748475d965.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "c88f0f748475d96562bddd9df3f62ebe9b0527243206c14715464926b0300cd7"
+    },
+    {
+      "bytes": 58122,
+      "path": "data/dev/pa1/goedel_workbook-000186-0000-669ef868d8964edd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "669ef868d8964edda7200ddbd742c97c7f8f43d0bb738611cdee7fe5c4a408e1"
+    },
+    {
+      "bytes": 29475,
+      "path": "data/internal_test/pa1/goedel_workbook-000186-0000-c4bfec8d52e25831.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c4bfec8d52e25831d37f0266631455405a94e13733970627822bc54cfc3db928"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000187.json b/manifests/batches/goedel_workbook/000187.json
index 0ccde8a67a2bb791fa7ad5c21f46a02e94b63915..4695c76ced76960af02a4de564ad9897075d187a 100644
--- a/manifests/batches/goedel_workbook/000187.json
+++ b/manifests/batches/goedel_workbook/000187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000187",
   "batch_fingerprint": "a54e4f7f6bdbdce3b01ba1af5e6dc0cf913f2eb3177c0ec2e1f4a55b1e9ecfa5",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000187-0000-6eaca5d9a90f9730.parquet",
-      "sha256": "6eaca5d9a90f97303914f6287c3ec8aa396edd96f79bb1dcca904c095acfeb02",
-      "bytes": 90257,
-      "rows": 30,
-      "revision": "e834d6d8146dff50d47197f321e473886b5e6db3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000187-0000-20588c06d6b7754b.parquet",
-      "sha256": "20588c06d6b7754bb34f775fbba98331ac19184b0d612737152fd53da4edbb5f",
-      "bytes": 45045,
-      "rows": 8,
-      "revision": "e834d6d8146dff50d47197f321e473886b5e6db3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29355",
     "goedel_workbook:lean_workbook_29365",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004694.lean\",\"6df42fabc236a3dd1594e2a147aa556eb3d08c54376b1ef913630164663c7cd4\",0,\"lean_workbook_29408\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004697.lean\",\"35ef67ee501768df14c6af8b943b70a3ad715ca5b6cd94dfbbe29a72292590d1\",0,\"lean_workbook_29413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90257,
+      "path": "data/train/peb/goedel_workbook-000187-0000-6eaca5d9a90f9730.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "6eaca5d9a90f97303914f6287c3ec8aa396edd96f79bb1dcca904c095acfeb02"
+    },
+    {
+      "bytes": 45045,
+      "path": "data/internal_test/peb/goedel_workbook-000187-0000-20588c06d6b7754b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "20588c06d6b7754bb34f775fbba98331ac19184b0d612737152fd53da4edbb5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000188.json b/manifests/batches/goedel_workbook/000188.json
index 2d9d2a88cda08125f434281cd432fc455b410194..592bba174114c039fbdcc08cd3336bb66f54e82b 100644
--- a/manifests/batches/goedel_workbook/000188.json
+++ b/manifests/batches/goedel_workbook/000188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000188",
   "batch_fingerprint": "a0b8f5c97d56094b5129119a773e7f4b9c4260f2a141d53aa964eee81983bfb9",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000188-0000-f2ed961e4376ef09.parquet",
-      "sha256": "f2ed961e4376ef09162775fb148151417de02c376a38b3a92d9f42262ea10e4e",
-      "bytes": 178879,
-      "rows": 41,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000188-0000-0c53a0e3c26639a4.parquet",
-      "sha256": "0c53a0e3c26639a48f8271c7004e193e4d22f87d1c6c9714a209fd52b9307242",
-      "bytes": 52400,
-      "rows": 7,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29427",
     "goedel_workbook:lean_workbook_29428",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004717.lean\",\"ab3a54188257d23a2a045f2c840575a856bfcb98156384e0bae0446370c6c059\",0,\"lean_workbook_29484\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004724.lean\",\"7dd31d3f949496e72209d79dcfc54120f3bb3aada1e60edca593184a8dd2d4f8\",0,\"lean_workbook_29531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178879,
+      "path": "data/train/pbf/goedel_workbook-000188-0000-f2ed961e4376ef09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f2ed961e4376ef09162775fb148151417de02c376a38b3a92d9f42262ea10e4e"
+    },
+    {
+      "bytes": 52400,
+      "path": "data/internal_test/pbf/goedel_workbook-000188-0000-0c53a0e3c26639a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0c53a0e3c26639a48f8271c7004e193e4d22f87d1c6c9714a209fd52b9307242"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000189.json b/manifests/batches/goedel_workbook/000189.json
index b250fb14f0f9dab2c207f08cb85e6e32c9e05098..2b648e29df1232bcd0cae494215184249b203145 100644
--- a/manifests/batches/goedel_workbook/000189.json
+++ b/manifests/batches/goedel_workbook/000189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000189",
   "batch_fingerprint": "0ce2c986f485e426166bc96d1c578dd189502b62c3f803491b116ff32ea23b4a",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000189-0000-722f9d4720d64309.parquet",
-      "sha256": "722f9d4720d643099896c132432992e0a751ad239e1251ebab7dd78d5894e750",
-      "bytes": 134329,
-      "rows": 30,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000189-0000-f2c4d3f3bf92347b.parquet",
-      "sha256": "f2c4d3f3bf92347b8f495850cc7207bc5650a2d3ee2aec948b2cb6968b388f1f",
-      "bytes": 64834,
-      "rows": 7,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29541",
     "goedel_workbook:lean_workbook_29547",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004744.lean\",\"5a45ba2f890b3430e947e9488801405af39141c1031195b79d364f1f5972e16e\",0,\"lean_workbook_29620\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004745.lean\",\"622455e7c3a4fbcbf3315afe94f5ff180e1b0d2f1c25cbdba82f06847ee22a40\",0,\"lean_workbook_29624\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004749.lean\",\"50bebd58963962540902166bcfc2cd3f3d3a5f87dbf16beda0bf9a4b6e7af5ed\",0,\"lean_workbook_29636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134329,
+      "path": "data/train/pfa/goedel_workbook-000189-0000-722f9d4720d64309.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "722f9d4720d643099896c132432992e0a751ad239e1251ebab7dd78d5894e750"
+    },
+    {
+      "bytes": 64834,
+      "path": "data/internal_test/pfa/goedel_workbook-000189-0000-f2c4d3f3bf92347b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f2c4d3f3bf92347b8f495850cc7207bc5650a2d3ee2aec948b2cb6968b388f1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000190.json b/manifests/batches/goedel_workbook/000190.json
index cbdf04231f373918331d6863ab722fe5bbb273d4..452db509d67e9247f6cfc81aa826cd0abdc7b59f 100644
--- a/manifests/batches/goedel_workbook/000190.json
+++ b/manifests/batches/goedel_workbook/000190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000190",
   "batch_fingerprint": "3addaa7e754fe492702a9071814e63c2f5f3c6349116882ecca2868d058ac5d9",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000190-0000-97ea9feb4b464746.parquet",
-      "sha256": "97ea9feb4b464746ac6008c31dc41742e0f45f607d44090d2aae960cd1222e8f",
-      "bytes": 165112,
-      "rows": 38,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000190-0000-886a3c3f769d2af1.parquet",
-      "sha256": "886a3c3f769d2af1d4851ce014c3c3bd299b25f12501afc9d29980b1158df8be",
-      "bytes": 33782,
-      "rows": 2,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000190-0000-6a630d1f8e38226d.parquet",
-      "sha256": "6a630d1f8e38226d5adfb0f085759032b7ea03be5ff78c32d705416b1908664e",
-      "bytes": 55048,
-      "rows": 9,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29640",
     "goedel_workbook:lean_workbook_29643",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004772.lean\",\"525cef574dc0c367ef90fcfa6f61834d12100623b04ea735a5855f096aa34707\",0,\"lean_workbook_29755\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004773.lean\",\"14b8be68266471f46397e2f4a6d0a26a595040a535ec2dedd8ce1a9bada8f185\",0,\"lean_workbook_29758\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004774.lean\",\"24b567671abd5af63cf1d80b0f0be4c6eb30ae6285536c94a08db9eca0201144\",0,\"lean_workbook_29762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165112,
+      "path": "data/train/p42/goedel_workbook-000190-0000-97ea9feb4b464746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "97ea9feb4b464746ac6008c31dc41742e0f45f607d44090d2aae960cd1222e8f"
+    },
+    {
+      "bytes": 33782,
+      "path": "data/dev/p42/goedel_workbook-000190-0000-886a3c3f769d2af1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "886a3c3f769d2af1d4851ce014c3c3bd299b25f12501afc9d29980b1158df8be"
+    },
+    {
+      "bytes": 55048,
+      "path": "data/internal_test/p42/goedel_workbook-000190-0000-6a630d1f8e38226d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6a630d1f8e38226d5adfb0f085759032b7ea03be5ff78c32d705416b1908664e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000191.json b/manifests/batches/goedel_workbook/000191.json
index 16d84d1077fdbcbb5440320635bb1c4ef5aeabd8..0fd88b31583e0a1901a983a45db8889d151b4779 100644
--- a/manifests/batches/goedel_workbook/000191.json
+++ b/manifests/batches/goedel_workbook/000191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000191",
   "batch_fingerprint": "857fbd4070239555a8170266416a05c40b702dbd1adbe4ea3965ea3e02f8fda1",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000191-0000-554a34c5806e51cb.parquet",
-      "sha256": "554a34c5806e51cba07e722fdc290794a1fb91bfc37701c219676c381875f984",
-      "bytes": 73621,
-      "rows": 17,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000191-0000-c9b5681429869e36.parquet",
-      "sha256": "c9b5681429869e36dc09d735faff96de65e6829de60eb30f0c5969352ff9a864",
-      "bytes": 35805,
-      "rows": 2,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29767",
     "goedel_workbook:lean_workbook_2977",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004790.lean\",\"a490efe2016485c3799751c629a20aaa5a96203c8a374740dc12953da555f85c\",0,\"lean_workbook_29818\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004794.lean\",\"f8ea952397f5abc394853bc2997a8c16cb5403818f99cc98eb5ac6d62f73aad8\",0,\"lean_workbook_29840\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004795.lean\",\"0a9df882c5bf9593b95c4186cc1062b588c7979d4e0dda73da494e7564752352\",0,\"lean_workbook_29842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73621,
+      "path": "data/train/pa2/goedel_workbook-000191-0000-554a34c5806e51cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "554a34c5806e51cba07e722fdc290794a1fb91bfc37701c219676c381875f984"
+    },
+    {
+      "bytes": 35805,
+      "path": "data/internal_test/pa2/goedel_workbook-000191-0000-c9b5681429869e36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c9b5681429869e36dc09d735faff96de65e6829de60eb30f0c5969352ff9a864"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000192.json b/manifests/batches/goedel_workbook/000192.json
index 63230d25b825daa9f32e79579ee0a3a58a8e452c..dafd50e4716f65ad532a7a93630141b9fdb537f8 100644
--- a/manifests/batches/goedel_workbook/000192.json
+++ b/manifests/batches/goedel_workbook/000192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000192",
   "batch_fingerprint": "941a9db579dcf88dc87a1a1f9c299efb2e80f80422f1a505678972e0fe7d77fd",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000192-0000-19c26f7bdeaddf15.parquet",
-      "sha256": "19c26f7bdeaddf15bfe9a70dc0c1cae8371994d57403b0eb6ee5d4912a7bcdc3",
-      "bytes": 264486,
-      "rows": 44,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000192-0000-3ef1422bcedfc88a.parquet",
-      "sha256": "3ef1422bcedfc88aa58a213d1413bed7c2cd734eaf7978e136d98c2c7f324acb",
-      "bytes": 36863,
-      "rows": 1,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29858",
     "goedel_workbook:lean_workbook_29861",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004822.lean\",\"d89b0beb286ecfbceb171f9375053fd5ab4e6502ef6ae9b2563aeb553f1cfcf8\",0,\"lean_workbook_2995\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004823.lean\",\"2b36a81d7e635ea1f447edfc1e70bc73e981dd09c998a1556d6c19b2d36f115a\",0,\"lean_workbook_29953\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004824.lean\",\"9af283d0df9bafa713a758d21f26adeaa0e201b6382f1cecc451d4351944ba1e\",0,\"lean_workbook_29954\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264486,
+      "path": "data/train/p68/goedel_workbook-000192-0000-19c26f7bdeaddf15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "19c26f7bdeaddf15bfe9a70dc0c1cae8371994d57403b0eb6ee5d4912a7bcdc3"
+    },
+    {
+      "bytes": 36863,
+      "path": "data/dev/p68/goedel_workbook-000192-0000-3ef1422bcedfc88a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3ef1422bcedfc88aa58a213d1413bed7c2cd734eaf7978e136d98c2c7f324acb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000193.json b/manifests/batches/goedel_workbook/000193.json
index cff494851129323b01143d3f293fd80dca9c1565..44a24365820f27b6afda8baf798a8990bc694f3c 100644
--- a/manifests/batches/goedel_workbook/000193.json
+++ b/manifests/batches/goedel_workbook/000193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000193",
   "batch_fingerprint": "eee5ce12fd144b89c7e875a6663d8702f7eb6dc1d23a456196fbd0ef70368744",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000193-0000-9d9e14aa568d9f9f.parquet",
-      "sha256": "9d9e14aa568d9f9ff7a0173dc3aeed87bc67940000578a5e40ba685c42d7a4fb",
-      "bytes": 167438,
-      "rows": 40,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000193-0000-344857407ea6a1fe.parquet",
-      "sha256": "344857407ea6a1fe4630a789c1bf69b4e94564e50d1085f0c303e17d753f4fd4",
-      "bytes": 33832,
-      "rows": 1,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_29955",
     "goedel_workbook:lean_workbook_2997",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004845.lean\",\"a2df7a6c889fa68e63d2d4fa3b94a2209ec7958a4d97f3ba1de5ffbefcb32625\",0,\"lean_workbook_3005\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004846.lean\",\"4c50703c390cbc718942e5c550b7adce304345d83dacf0e568b26fb9c13b1bb2\",0,\"lean_workbook_30050\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004848.lean\",\"6acf267b6724aa8df8d839946c1247e505c1d728a9aec0b312509127d0757a66\",0,\"lean_workbook_30052\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167438,
+      "path": "data/train/p82/goedel_workbook-000193-0000-9d9e14aa568d9f9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9d9e14aa568d9f9ff7a0173dc3aeed87bc67940000578a5e40ba685c42d7a4fb"
+    },
+    {
+      "bytes": 33832,
+      "path": "data/internal_test/p82/goedel_workbook-000193-0000-344857407ea6a1fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "344857407ea6a1fe4630a789c1bf69b4e94564e50d1085f0c303e17d753f4fd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000194.json b/manifests/batches/goedel_workbook/000194.json
index 50880294e33bd8f5af039a7775d7bb9bc2815549..8858aaf91409c6704f73bd665a3536b3b2a7acf9 100644
--- a/manifests/batches/goedel_workbook/000194.json
+++ b/manifests/batches/goedel_workbook/000194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000194",
   "batch_fingerprint": "67c2fc4a94d1209ae862768676683a5b79285803acd389fd6e5d7d0a6d4c0ecf",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000194-0000-be2f69bb09215215.parquet",
-      "sha256": "be2f69bb0921521587dd70e19427ca95e10371ebf986645f2462b1881599bce0",
-      "bytes": 102323,
-      "rows": 24,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000194-0000-2bb000dd09f3b71d.parquet",
-      "sha256": "2bb000dd09f3b71dbaa5bb0010f87fa3169c496edb9a03bfcfce0113b051c54a",
-      "bytes": 28427,
-      "rows": 1,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000194-0000-e3259d1aa2e0ccf6.parquet",
-      "sha256": "e3259d1aa2e0ccf64f4d079175c397323ac5a5b86d1ce2a25f62319768afb078",
-      "bytes": 38368,
-      "rows": 2,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3006",
     "goedel_workbook:lean_workbook_30070",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004868.lean\",\"6c736de3accdba1af36fd7448c20962d1b7e3c9eec0b722653a324e298a55bb3\",0,\"lean_workbook_30144\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004870.lean\",\"34c9256a3910f15d3d407bfd9631f164990b1928322e827b649b102391e55b9c\",0,\"lean_workbook_30147\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004873.lean\",\"d631d285dc17937bb8ee84173bb8dee6ceca7119a7ac3676be45a53ee0c39fe3\",0,\"lean_workbook_30164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102323,
+      "path": "data/train/p59/goedel_workbook-000194-0000-be2f69bb09215215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "be2f69bb0921521587dd70e19427ca95e10371ebf986645f2462b1881599bce0"
+    },
+    {
+      "bytes": 28427,
+      "path": "data/dev/p59/goedel_workbook-000194-0000-2bb000dd09f3b71d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2bb000dd09f3b71dbaa5bb0010f87fa3169c496edb9a03bfcfce0113b051c54a"
+    },
+    {
+      "bytes": 38368,
+      "path": "data/internal_test/p59/goedel_workbook-000194-0000-e3259d1aa2e0ccf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e3259d1aa2e0ccf64f4d079175c397323ac5a5b86d1ce2a25f62319768afb078"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000195.json b/manifests/batches/goedel_workbook/000195.json
index 1ac55a91615a7fbb090117baaea1c5f944769e65..a37f0345aa285194fe7fb0d59919e8679a41a3c3 100644
--- a/manifests/batches/goedel_workbook/000195.json
+++ b/manifests/batches/goedel_workbook/000195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000195",
   "batch_fingerprint": "b286a88208a89e20743b8489f31d945f274e3caec69f2745a8980e785d0cbfb7",
   "evidence": {
@@ -226,15 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000195-0000-5cb7d02abdcef406.parquet",
-      "sha256": "5cb7d02abdcef40685c1764ce5028b958bdf69e7d7703472bbf33e995612d589",
-      "bytes": 164874,
-      "rows": 37,
-      "revision": "cb0cd48b9573857b2fd0957a8137f384c8e6f5ea"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30178",
     "goedel_workbook:lean_workbook_30181",
@@ -266,5 +257,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004896.lean\",\"388453b10a2ee326d3c84ec7e0d8280328131fc0c6792ec604eb86436c2454f8\",0,\"lean_workbook_30260\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004897.lean\",\"b7489777b9dd672d6c04c7018f9470e115aece438e137b2ad4c87d444ae46f6f\",0,\"lean_workbook_30261\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004898.lean\",\"51d4b916ee0518ae80954c802f562acac31b6f88bdd510d31a06a6ac87eaeb1d\",0,\"lean_workbook_30262\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164874,
+      "path": "data/train/p86/goedel_workbook-000195-0000-5cb7d02abdcef406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "5cb7d02abdcef40685c1764ce5028b958bdf69e7d7703472bbf33e995612d589"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000196.json b/manifests/batches/goedel_workbook/000196.json
index b02618a29f664f3ba678381f45d3684a12a9dde1..c9d1a6c0f1d145d19227da9d07b5935716575698 100644
--- a/manifests/batches/goedel_workbook/000196.json
+++ b/manifests/batches/goedel_workbook/000196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000196",
   "batch_fingerprint": "9d922666ed0dafd459f1e2881b318fc05ddcc982298e6e870abb28dce90deed6",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000196-0000-cf9f83b0a87b02bd.parquet",
-      "sha256": "cf9f83b0a87b02bddcf630943685e574c45bbe1ca9937f63cbad10fa49e1c994",
-      "bytes": 112156,
-      "rows": 28,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000196-0000-1938f56e85a4c03c.parquet",
-      "sha256": "1938f56e85a4c03c47e980ceef909683d602bbe96d916ffc8aef25c1c1cdebe5",
-      "bytes": 48490,
-      "rows": 8,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000196-0000-7a33493a479eb559.parquet",
-      "sha256": "7a33493a479eb559a43632f8079e3c472f14a2ef4cd0bb3f84be2351a11cbd66",
-      "bytes": 32469,
-      "rows": 3,
-      "revision": "77a71957e3401de6679784184d6f099abb909811"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30279",
     "goedel_workbook:lean_workbook_30288",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004920.lean\",\"ac5cdf1e9667a1e324dce5d0efdc804a1441da5b3cff0ef5146a8a4a2d8c41cc\",0,\"lean_workbook_30347\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004922.lean\",\"2846570223e8f74b52d5f27db025af53b92176ade9821ef44b95ca5d62d68496\",0,\"lean_workbook_30349\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004924.lean\",\"de6d3281dd9c9780e061b34e3c33f60229a23caf69633ad3bbb59ae310f02588\",0,\"lean_workbook_30369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112156,
+      "path": "data/train/p00/goedel_workbook-000196-0000-cf9f83b0a87b02bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "cf9f83b0a87b02bddcf630943685e574c45bbe1ca9937f63cbad10fa49e1c994"
+    },
+    {
+      "bytes": 48490,
+      "path": "data/dev/p00/goedel_workbook-000196-0000-1938f56e85a4c03c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1938f56e85a4c03c47e980ceef909683d602bbe96d916ffc8aef25c1c1cdebe5"
+    },
+    {
+      "bytes": 32469,
+      "path": "data/internal_test/p00/goedel_workbook-000196-0000-7a33493a479eb559.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7a33493a479eb559a43632f8079e3c472f14a2ef4cd0bb3f84be2351a11cbd66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000197.json b/manifests/batches/goedel_workbook/000197.json
index ba41b1ccd9dafa3ab235b734a32c60ab15592051..e3d6dbee1acc6ab33a8104a06c404e3793e913be 100644
--- a/manifests/batches/goedel_workbook/000197.json
+++ b/manifests/batches/goedel_workbook/000197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000197",
   "batch_fingerprint": "5710d9ceaf60fd2dd9af907a5f5f3146377dfe6ba869e0d5e32530479aaf751d",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000197-0000-e12d748d0eb2f759.parquet",
-      "sha256": "e12d748d0eb2f759070a3c28804ac2f9d4bae40c6634cdc577c47f30fa8cb8b4",
-      "bytes": 232402,
-      "rows": 51,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000197-0000-49fc5071e8e55192.parquet",
-      "sha256": "49fc5071e8e55192bd34819536c7baa5ad4341832affc6b3226b3e24960fd9ed",
-      "bytes": 31664,
-      "rows": 2,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000197-0000-8e9154a9bdb1abfa.parquet",
-      "sha256": "8e9154a9bdb1abfa5c278401e806e017435e803dc8d70dadd0ddce3193bfe6c6",
-      "bytes": 54576,
-      "rows": 10,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30373",
     "goedel_workbook:lean_workbook_30376",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004946.lean\",\"7850a046cf3e76ed18cc6f3a1d06e984ac2a78707b8bae4c4c96db229f993022\",0,\"lean_workbook_30505\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004948.lean\",\"328eda892895ad958d6d55fe34e393860616c11f95ee19fe254f162e1d19810f\",0,\"lean_workbook_30509\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004949.lean\",\"9a7e0bdfd4914013642d16a4bf6be54f766e967adf65f83d4e08812cf07c10f3\",0,\"lean_workbook_3051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232402,
+      "path": "data/train/p4e/goedel_workbook-000197-0000-e12d748d0eb2f759.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "e12d748d0eb2f759070a3c28804ac2f9d4bae40c6634cdc577c47f30fa8cb8b4"
+    },
+    {
+      "bytes": 31664,
+      "path": "data/dev/p4e/goedel_workbook-000197-0000-49fc5071e8e55192.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "49fc5071e8e55192bd34819536c7baa5ad4341832affc6b3226b3e24960fd9ed"
+    },
+    {
+      "bytes": 54576,
+      "path": "data/internal_test/p4e/goedel_workbook-000197-0000-8e9154a9bdb1abfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8e9154a9bdb1abfa5c278401e806e017435e803dc8d70dadd0ddce3193bfe6c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000198.json b/manifests/batches/goedel_workbook/000198.json
index 8e0a4aa857d35403cd7b161aceaa11532194f0a8..740ac0a9e94c5ea871114f17d032ef423dba00a8 100644
--- a/manifests/batches/goedel_workbook/000198.json
+++ b/manifests/batches/goedel_workbook/000198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000198",
   "batch_fingerprint": "16b354c4a67a404e8f1858e480364c5bbe08ab6b5fdab0025d4de8e70a285ecb",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000198-0000-c2026675dc051642.parquet",
-      "sha256": "c2026675dc0516421b406c88036ce2a1ea8ac795e0d7854662733652728f3f72",
-      "bytes": 122034,
-      "rows": 29,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000198-0000-aac4741fd48d5dd4.parquet",
-      "sha256": "aac4741fd48d5dd4aff7d0813b9bdf04fb098d75e6a4d561838702e1ffd0f658",
-      "bytes": 53340,
-      "rows": 10,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30510",
     "goedel_workbook:lean_workbook_30548",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004971.lean\",\"56f065af6de03c1e79f43d5c5ed504cde049806cf5dd2f7be73a503c7c0b6404\",0,\"lean_workbook_30625\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004972.lean\",\"c587a5c5a22fbc29e9602951ecabd57d0158340cbf72a0db160f4d9593ddad9e\",0,\"lean_workbook_30627\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004974.lean\",\"92635e713f87d6a78a50e23b73e1de4095aa5382ae016c1683e18cd54aeb39f2\",0,\"lean_workbook_30633\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122034,
+      "path": "data/train/p99/goedel_workbook-000198-0000-c2026675dc051642.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c2026675dc0516421b406c88036ce2a1ea8ac795e0d7854662733652728f3f72"
+    },
+    {
+      "bytes": 53340,
+      "path": "data/internal_test/p99/goedel_workbook-000198-0000-aac4741fd48d5dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "aac4741fd48d5dd4aff7d0813b9bdf04fb098d75e6a4d561838702e1ffd0f658"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000199.json b/manifests/batches/goedel_workbook/000199.json
index e0c1cf3d40fcc14dcd3ca936ab291919166d9faa..8af95de7bb6aa1ea5132dcf9bf05cb47a92160c1 100644
--- a/manifests/batches/goedel_workbook/000199.json
+++ b/manifests/batches/goedel_workbook/000199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000199",
   "batch_fingerprint": "a90b794c0c63e8f2437ed4a8ca0016ae7f7f48704eb16746f162f0564aa1a163",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000199-0000-fa5194c7d24fef1c.parquet",
-      "sha256": "fa5194c7d24fef1cd8cb768b42f115a95d5fcec180e77bff01971fd00cf7f713",
-      "bytes": 171195,
-      "rows": 39,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000199-0000-3a2ac91b0fc1230e.parquet",
-      "sha256": "3a2ac91b0fc1230ea48199e118a6dd746684b60a61a257c7adbe88575b0b0f40",
-      "bytes": 47638,
-      "rows": 7,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3064",
     "goedel_workbook:lean_workbook_30644",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004994.lean\",\"53d27e5e982ed5115ee2c574ab673f3415bf1f65ff0f3f1be22b0a045f36f2c9\",0,\"lean_workbook_30716\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004997.lean\",\"837a229f362ca10eb30dd21b872411bbbd81285b01e86fd14840c81d13090f8e\",0,\"lean_workbook_30721\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_004998.lean\",\"3e74e447cb18dae192eea0f5be4d46f34401ba5c847135dab01f246ef94c20db\",0,\"lean_workbook_30724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171195,
+      "path": "data/train/p1b/goedel_workbook-000199-0000-fa5194c7d24fef1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "fa5194c7d24fef1cd8cb768b42f115a95d5fcec180e77bff01971fd00cf7f713"
+    },
+    {
+      "bytes": 47638,
+      "path": "data/internal_test/p1b/goedel_workbook-000199-0000-3a2ac91b0fc1230e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3a2ac91b0fc1230ea48199e118a6dd746684b60a61a257c7adbe88575b0b0f40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000200.json b/manifests/batches/goedel_workbook/000200.json
index 338c783396d1184a98c582c379cacadf5bfaefd6..9fcd396d05c973b4971b709ef4b18d2b8bba5186 100644
--- a/manifests/batches/goedel_workbook/000200.json
+++ b/manifests/batches/goedel_workbook/000200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000200",
   "batch_fingerprint": "babe9d6544322a7e48c5e471d3e47926009462b8e65a2e8e13b2171318f7f86c",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000200-0000-838485faebc75412.parquet",
-      "sha256": "838485faebc75412fc2f810d186c7823ac1cb0163af6b0a550c5acd8ee042c4a",
-      "bytes": 189153,
-      "rows": 52,
-      "revision": "6db933e1ee1299fd6b42c7c13c24d369bc2d15e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000200-0000-749428dbe2f51b42.parquet",
-      "sha256": "749428dbe2f51b42ccfb516f082ea7c7bf5ce47daf65c1bbac8493c20194f0d9",
-      "bytes": 56724,
-      "rows": 6,
-      "revision": "6db933e1ee1299fd6b42c7c13c24d369bc2d15e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30739",
     "goedel_workbook:lean_workbook_3074",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005022.lean\",\"45c95abb5a51cfbe81c76f08651b7b0c9827904b6700644d25bde370cf3e376b\",0,\"lean_workbook_30821\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005023.lean\",\"f0229b50e1650f5ccd347f1d5899ea79a194c38b88b9b794c402503df1e776fc\",0,\"lean_workbook_30826\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005024.lean\",\"281235970156509c6bd2a6848176a87410b0e70aa9bbe8d74f9c1b09a5701d00\",0,\"lean_workbook_30827\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189153,
+      "path": "data/train/pc2/goedel_workbook-000200-0000-838485faebc75412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "838485faebc75412fc2f810d186c7823ac1cb0163af6b0a550c5acd8ee042c4a"
+    },
+    {
+      "bytes": 56724,
+      "path": "data/internal_test/pc2/goedel_workbook-000200-0000-749428dbe2f51b42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "749428dbe2f51b42ccfb516f082ea7c7bf5ce47daf65c1bbac8493c20194f0d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000201.json b/manifests/batches/goedel_workbook/000201.json
index 65fea53ae512be70097bda48cad7175c263c6376..a9b4d9ba015b3abb18cf05dbc9836b0809a0d996 100644
--- a/manifests/batches/goedel_workbook/000201.json
+++ b/manifests/batches/goedel_workbook/000201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000201",
   "batch_fingerprint": "0db0e18e802abde8735eb1a3d7b9929f127372223acd1784f65cce86a09a4363",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000201-0000-33a42e2866ff22ac.parquet",
-      "sha256": "33a42e2866ff22ac77afd922b8d494b8bd32c1e33907b49a8764bd421e844990",
-      "bytes": 266232,
-      "rows": 33,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000201-0000-a3ac8153a485ff0f.parquet",
-      "sha256": "a3ac8153a485ff0fcce45905b09d143741a1ef0fd849f78014e2e1c2de274fc5",
-      "bytes": 44213,
-      "rows": 4,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30840",
     "goedel_workbook:lean_workbook_30841",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005046.lean\",\"2303a3879bd4cebfc93f55a9c73308b0b740966d3a2d83290618959f267fece3\",0,\"lean_workbook_30907\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005047.lean\",\"0dde64709beb2815f885c03eca34d91b2a8884d4882de13577f075a1b5069c67\",0,\"lean_workbook_30909\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005048.lean\",\"ad42f44266bb0493f89b82f651630542b88d592ba50825d264e5d54e9de299eb\",0,\"lean_workbook_30910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266232,
+      "path": "data/train/p13/goedel_workbook-000201-0000-33a42e2866ff22ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "33a42e2866ff22ac77afd922b8d494b8bd32c1e33907b49a8764bd421e844990"
+    },
+    {
+      "bytes": 44213,
+      "path": "data/internal_test/p13/goedel_workbook-000201-0000-a3ac8153a485ff0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a3ac8153a485ff0fcce45905b09d143741a1ef0fd849f78014e2e1c2de274fc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000202.json b/manifests/batches/goedel_workbook/000202.json
index e121046d1cff45ac0e67999828f11e708d82ccdf..ecbee032d81a3c17d00fd855c07ddb23536887fa 100644
--- a/manifests/batches/goedel_workbook/000202.json
+++ b/manifests/batches/goedel_workbook/000202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000202",
   "batch_fingerprint": "f9d4a116ac8ce2db50599dcd9521c09f99fa856b90cdc210248cb613e9734a84",
   "evidence": {
@@ -263,29 +262,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000202-0000-8f27ca94d2e08b12.parquet",
-      "sha256": "8f27ca94d2e08b12769d7248bf912916a6fcaa4fb5f7b17e80863196a95a9e46",
-      "bytes": 169872,
-      "rows": 35,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000202-0000-6f7e32faca10ad70.parquet",
-      "sha256": "6f7e32faca10ad7082ab7ce8da865cc0cdec722c1b76840027fa82995a6197d0",
-      "bytes": 37944,
-      "rows": 4,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000202-0000-ccf6b0b95c734c76.parquet",
-      "sha256": "ccf6b0b95c734c76fe8db9ffe7c7357ea70bef627704556a310515ce8ab03cbe",
-      "bytes": 35785,
-      "rows": 4,
-      "revision": "a438b0e2a92a950b0f6644407214e982be7758ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_30923",
     "goedel_workbook:lean_workbook_30934",
@@ -313,5 +290,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005070.lean\",\"3dfb15af6097791b3d8c6a41abeb60f05f4edee85a1736a717af9aad9ad90cfe\",0,\"lean_workbook_31003\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005071.lean\",\"1b7e221d5045e5e09f40b39a398fec2c670ff6776b821be49b573a8498cd2c52\",0,\"lean_workbook_31011\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005073.lean\",\"29dd087053d496efc5cc5984aef6f228f24654369dfe015db8b72b818318beb5\",0,\"lean_workbook_31023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169872,
+      "path": "data/train/pa7/goedel_workbook-000202-0000-8f27ca94d2e08b12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "8f27ca94d2e08b12769d7248bf912916a6fcaa4fb5f7b17e80863196a95a9e46"
+    },
+    {
+      "bytes": 37944,
+      "path": "data/internal_test/pa7/goedel_workbook-000202-0000-6f7e32faca10ad70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f7e32faca10ad7082ab7ce8da865cc0cdec722c1b76840027fa82995a6197d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000203.json b/manifests/batches/goedel_workbook/000203.json
index 077bb1ab97602126e3931ae306efc94215e2069d..1387d8e509026f8f4a3eb692dcb8bf9f5c8c3426 100644
--- a/manifests/batches/goedel_workbook/000203.json
+++ b/manifests/batches/goedel_workbook/000203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000203",
   "batch_fingerprint": "4894c3189f619cac809e525b4683c4a1a98bc42376423dba73bd9e69eee0ed40",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000203-0000-4c61fc821bec1cb7.parquet",
-      "sha256": "4c61fc821bec1cb7e6e0e10319846a8f1ef246865ff8dbeb20c364483df4c0cd",
-      "bytes": 181914,
-      "rows": 41,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000203-0000-b27e2ace5d202f17.parquet",
-      "sha256": "b27e2ace5d202f175b027ee0c7e1b7638e063b91c5c3be741fbe3ee593c2fff1",
-      "bytes": 26049,
-      "rows": 1,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000203-0000-b04379129c53922e.parquet",
-      "sha256": "b04379129c53922ee94c4dc08c35fb41d3ccee139628efeebeaa0a38028a5fbc",
-      "bytes": 41407,
-      "rows": 4,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31036",
     "goedel_workbook:lean_workbook_31043",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005096.lean\",\"4f58259e29109a8990660f1b6340f6ec6e924fdd6df02eada3e353b3c8691956\",0,\"lean_workbook_3109\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005098.lean\",\"adcd700bbc783d74b7265aa78d77e7acce908e84029b9714eccfc1857f947edf\",0,\"lean_workbook_3110\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005099.lean\",\"4f607ab95a975ed635a77cfd2cd0faa58ba33fc9835114b60828f8a498512e98\",0,\"lean_workbook_31100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181914,
+      "path": "data/train/peb/goedel_workbook-000203-0000-4c61fc821bec1cb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "4c61fc821bec1cb7e6e0e10319846a8f1ef246865ff8dbeb20c364483df4c0cd"
+    },
+    {
+      "bytes": 26049,
+      "path": "data/dev/peb/goedel_workbook-000203-0000-b27e2ace5d202f17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b27e2ace5d202f175b027ee0c7e1b7638e063b91c5c3be741fbe3ee593c2fff1"
+    },
+    {
+      "bytes": 41407,
+      "path": "data/internal_test/peb/goedel_workbook-000203-0000-b04379129c53922e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b04379129c53922ee94c4dc08c35fb41d3ccee139628efeebeaa0a38028a5fbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000204.json b/manifests/batches/goedel_workbook/000204.json
index 49a73fb69fbad149f9523c05b16cb0df61f86c01..cdeba8c86eeddeb8d8c3c0fbe1a925812b7ebfc1 100644
--- a/manifests/batches/goedel_workbook/000204.json
+++ b/manifests/batches/goedel_workbook/000204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000204",
   "batch_fingerprint": "06b4759c35d7afd8d7f0e1aa6cccece8ca7fcf76faab2542ebf53e7208821cf8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000204-0000-8109428fca44bbc1.parquet",
-      "sha256": "8109428fca44bbc1aed32e6224951cb0c7218c2f72b6e9d69b7915d9803061ac",
-      "bytes": 99737,
-      "rows": 24,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000204-0000-ad402ab1f871b1cb.parquet",
-      "sha256": "ad402ab1f871b1cbe4dcf4178d3df25e7d25674e6deb4a565c0ec765f1589456",
-      "bytes": 59860,
-      "rows": 17,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31102",
     "goedel_workbook:lean_workbook_31105",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005119.lean\",\"4f94074de2b065494c8bd0de24f2d0c15fad3d39e71fd92350f73bc7c502d49f\",0,\"lean_workbook_31194\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005120.lean\",\"d726ee1296433b594e0c2922ba2df9e9850c3bed5cd87618bf5259153d3cfe4d\",0,\"lean_workbook_31204\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005121.lean\",\"b2becdfc548a9135ca93b8ff94e9a2ac5c4b283dc758c749895ff58a12e2bd65\",0,\"lean_workbook_31213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99737,
+      "path": "data/train/p72/goedel_workbook-000204-0000-8109428fca44bbc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8109428fca44bbc1aed32e6224951cb0c7218c2f72b6e9d69b7915d9803061ac"
+    },
+    {
+      "bytes": 59860,
+      "path": "data/internal_test/p72/goedel_workbook-000204-0000-ad402ab1f871b1cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ad402ab1f871b1cbe4dcf4178d3df25e7d25674e6deb4a565c0ec765f1589456"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000205.json b/manifests/batches/goedel_workbook/000205.json
index 209365d38d6f0cd353a3cc8ea7dc226415500d61..7b9275ec97694c3386b015c19e6591a17355c180 100644
--- a/manifests/batches/goedel_workbook/000205.json
+++ b/manifests/batches/goedel_workbook/000205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000205",
   "batch_fingerprint": "9fb57166af5301c66482fc693f0d64e31f0be68410aac7aef57bd5dc71e836ab",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000205-0000-0028dfc68381bd3d.parquet",
-      "sha256": "0028dfc68381bd3d57015c5dd78f8d149dbe5499b9cc5be76b1cc63ef36077e5",
-      "bytes": 221759,
-      "rows": 53,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000205-0000-afc55a21f67d266f.parquet",
-      "sha256": "afc55a21f67d266fdc7da815c70e43a7f14f5aa693b7da20433311d502d3095b",
-      "bytes": 36919,
-      "rows": 2,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31225",
     "goedel_workbook:lean_workbook_31240",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005146.lean\",\"5ae34c5067b9ff11de501e0b9ea49911842290bd582c8c5fdf4f19200d180a44\",0,\"lean_workbook_31316\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005148.lean\",\"2e4d950fe799c58a466dec85c47267ad71abc747022e9847f4f5ffff9c29cd4b\",0,\"lean_workbook_3133\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005149.lean\",\"8d9d6cf6ac96359f1315388664fb95ee9afc7fa693bfa010d08e3bcc30fbeef4\",0,\"lean_workbook_31330\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221759,
+      "path": "data/train/p2d/goedel_workbook-000205-0000-0028dfc68381bd3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "0028dfc68381bd3d57015c5dd78f8d149dbe5499b9cc5be76b1cc63ef36077e5"
+    },
+    {
+      "bytes": 36919,
+      "path": "data/internal_test/p2d/goedel_workbook-000205-0000-afc55a21f67d266f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "afc55a21f67d266fdc7da815c70e43a7f14f5aa693b7da20433311d502d3095b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000206.json b/manifests/batches/goedel_workbook/000206.json
index 079fa0568ed2d9284c28ae54c60b62cda1627356..022ea3279c24b8bbdb3af50a99dafb40cff95548 100644
--- a/manifests/batches/goedel_workbook/000206.json
+++ b/manifests/batches/goedel_workbook/000206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000206",
   "batch_fingerprint": "76da76996b39feb967ccc756f460657544eeae257e4c0479174b941ec2115a1f",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000206-0000-0426623263ef8a09.parquet",
-      "sha256": "0426623263ef8a0914f51627fa21ce7f7d1b7ba60b5c1a6d14386c673411128b",
-      "bytes": 176348,
-      "rows": 35,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000206-0000-c6443ccd8e935179.parquet",
-      "sha256": "c6443ccd8e93517921f898079a4329bb07b9ae7bd2875ad710122641c985e00b",
-      "bytes": 48968,
-      "rows": 4,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3135",
     "goedel_workbook:lean_workbook_31356",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005168.lean\",\"e5549078ca67fbfc83b7a14d244286ebb4b1cb971cc82938be6317b5a2d32216\",0,\"lean_workbook_31410\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005169.lean\",\"0c95180a6d9831e300b0f8ded4c5278384976c688f43ee73784e4a1365a504b2\",0,\"lean_workbook_31433\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005171.lean\",\"c0c99699ac5e345994a9ff9e21ef67ff676f1116e61695c89d59a0a7689bde7e\",0,\"lean_workbook_31436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176348,
+      "path": "data/train/p9f/goedel_workbook-000206-0000-0426623263ef8a09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "0426623263ef8a0914f51627fa21ce7f7d1b7ba60b5c1a6d14386c673411128b"
+    },
+    {
+      "bytes": 48968,
+      "path": "data/internal_test/p9f/goedel_workbook-000206-0000-c6443ccd8e935179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c6443ccd8e93517921f898079a4329bb07b9ae7bd2875ad710122641c985e00b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000207.json b/manifests/batches/goedel_workbook/000207.json
index d85997a554bfb1504140f7d41117bb11956c633e..f0baff483010d08b76cd3817ed15775cc89870e2 100644
--- a/manifests/batches/goedel_workbook/000207.json
+++ b/manifests/batches/goedel_workbook/000207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000207",
   "batch_fingerprint": "f3b91ed9c7bf1b1a0a799e7d1bfb30cec399e743e44b3ca1db54fce2f4e249df",
   "evidence": {
@@ -234,29 +233,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000207-0000-4749ab95337d58fa.parquet",
-      "sha256": "4749ab95337d58fa773fc648c3c9caaa766e65d4c1f92a6906edea99a963a6a3",
-      "bytes": 98515,
-      "rows": 22,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000207-0000-7443f516886c74f3.parquet",
-      "sha256": "7443f516886c74f3d8d7016595e01460e8f24e8ab6816d5d635096b420a52640",
-      "bytes": 53417,
-      "rows": 6,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000207-0000-7c99b24daaf11598.parquet",
-      "sha256": "7c99b24daaf11598a14d6154ef93fb51412395fa683bd33dbec6644f0392b380",
-      "bytes": 39946,
-      "rows": 7,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31444",
     "goedel_workbook:lean_workbook_31447",
@@ -288,5 +265,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005193.lean\",\"d92a3bce0324444e872f51a471e95d0b8b866c929f85c4edb2170bd7f8b4c551\",0,\"lean_workbook_31492\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005196.lean\",\"468d31ffe9aed67e33ebb18c0a2430b3307ecfa11b19926417eea5ec2d5bbf45\",0,\"lean_workbook_31498\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005199.lean\",\"d1f21475889149da8549ca2ec53c5dba906d78b956230e56d94171fa33d4f34e\",0,\"lean_workbook_31517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98515,
+      "path": "data/train/p09/goedel_workbook-000207-0000-4749ab95337d58fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "4749ab95337d58fa773fc648c3c9caaa766e65d4c1f92a6906edea99a963a6a3"
+    },
+    {
+      "bytes": 53417,
+      "path": "data/dev/p09/goedel_workbook-000207-0000-7443f516886c74f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7443f516886c74f3d8d7016595e01460e8f24e8ab6816d5d635096b420a52640"
+    },
+    {
+      "bytes": 39946,
+      "path": "data/internal_test/p09/goedel_workbook-000207-0000-7c99b24daaf11598.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7c99b24daaf11598a14d6154ef93fb51412395fa683bd33dbec6644f0392b380"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000208.json b/manifests/batches/goedel_workbook/000208.json
index d46f5e02113b7f97587743ad4d6cf136a15707aa..9ce4ef4b8dd18fcf3fc3b7b5cc9d3e86b55d6bf3 100644
--- a/manifests/batches/goedel_workbook/000208.json
+++ b/manifests/batches/goedel_workbook/000208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000208",
   "batch_fingerprint": "eb402e1d715557410ac88e201125d5d142a23b0d1b7ba2f87685dc8ed2c0b100",
   "evidence": {
@@ -263,29 +262,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000208-0000-7b0e46a4f922af2d.parquet",
-      "sha256": "7b0e46a4f922af2dfb1eb33f0b6eb25836ac86f23b8fb6fbcb66360ebe1829ae",
-      "bytes": 170719,
-      "rows": 31,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000208-0000-e08238b938971cc1.parquet",
-      "sha256": "e08238b938971cc16f9207e85f45e2d80522a5f22dbe1c850c28419c725ace34",
-      "bytes": 35858,
-      "rows": 2,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000208-0000-968e64dc189083a8.parquet",
-      "sha256": "968e64dc189083a87c3367df00bc032ce9e24ee3dcc318ce83def6b8e1ffbc62",
-      "bytes": 38599,
-      "rows": 3,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31520",
     "goedel_workbook:lean_workbook_31523",
@@ -313,5 +290,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005216.lean\",\"ae8042a241d17a147a0a9b384ba1543cee9eeabe90722bcda9e0d06765733a93\",0,\"lean_workbook_31569\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005221.lean\",\"6343df2449c2692480328d129de62959fee6bba914785b3dbd517a03e326f421\",0,\"lean_workbook_31586\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005222.lean\",\"bcb4a1db2dd9992be2a14b06d97c332bc96bbd3f51db81008f81199c2b92c3e4\",0,\"lean_workbook_31589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170719,
+      "path": "data/train/p2e/goedel_workbook-000208-0000-7b0e46a4f922af2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7b0e46a4f922af2dfb1eb33f0b6eb25836ac86f23b8fb6fbcb66360ebe1829ae"
+    },
+    {
+      "bytes": 35858,
+      "path": "data/dev/p2e/goedel_workbook-000208-0000-e08238b938971cc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e08238b938971cc16f9207e85f45e2d80522a5f22dbe1c850c28419c725ace34"
+    },
+    {
+      "bytes": 38599,
+      "path": "data/internal_test/p2e/goedel_workbook-000208-0000-968e64dc189083a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "968e64dc189083a87c3367df00bc032ce9e24ee3dcc318ce83def6b8e1ffbc62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000209.json b/manifests/batches/goedel_workbook/000209.json
index 25e166e4c959969abb73c2a0a09dab6508820414..15c1cdfda2a201d844641ca911e9f65e30b45812 100644
--- a/manifests/batches/goedel_workbook/000209.json
+++ b/manifests/batches/goedel_workbook/000209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000209",
   "batch_fingerprint": "bb4fe45dd681c764b2cf6b20667c1f13e482b50a50f37248e8ca42b4b98b669f",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000209-0000-09f528b858dbbd92.parquet",
-      "sha256": "09f528b858dbbd92a85b9dfc6143107832448fea77a7d808d939a368a671f7f9",
-      "bytes": 180779,
-      "rows": 38,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000209-0000-e2b73c9cffd3d9ca.parquet",
-      "sha256": "e2b73c9cffd3d9ca2c06e1cbc7deeaaad33c3c4d386d6f5e16ef56d63f8b04f5",
-      "bytes": 31299,
-      "rows": 1,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31609",
     "goedel_workbook:lean_workbook_31615",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005247.lean\",\"d9cc28534b40c3333449b558c4911e3b20113067d16f84174112f3d7fdc3103a\",0,\"lean_workbook_31703\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005248.lean\",\"21b28449e4efd7a5a81763678dfaf65e5d2d8323f2164fb303374f7973015300\",0,\"lean_workbook_31707\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005249.lean\",\"7854c182e8d46d1f29756bdb95534d958494a89094b0a25a0a50073923414037\",0,\"lean_workbook_31709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180779,
+      "path": "data/train/p57/goedel_workbook-000209-0000-09f528b858dbbd92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "09f528b858dbbd92a85b9dfc6143107832448fea77a7d808d939a368a671f7f9"
+    },
+    {
+      "bytes": 31299,
+      "path": "data/dev/p57/goedel_workbook-000209-0000-e2b73c9cffd3d9ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e2b73c9cffd3d9ca2c06e1cbc7deeaaad33c3c4d386d6f5e16ef56d63f8b04f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000210.json b/manifests/batches/goedel_workbook/000210.json
index 8ce55e1b32071799a83d1f6cc5825140c197620f..16dff150621d4091e547851c4f01267acc0d8d8e 100644
--- a/manifests/batches/goedel_workbook/000210.json
+++ b/manifests/batches/goedel_workbook/000210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000210",
   "batch_fingerprint": "d500409721563884eaab8d3d2f1ee1e8583248c90e10b1504109717a00374210",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000210-0000-6f888707c2d155a2.parquet",
-      "sha256": "6f888707c2d155a28eaba3655040f70b72aad560e2f7c5ccc64337f032605142",
-      "bytes": 206067,
-      "rows": 48,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31719",
     "goedel_workbook:lean_workbook_3172",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005270.lean\",\"6e0150eafd5daaa696375510cffe0ba85550b29a1326500f47c39bd89d302692\",0,\"lean_workbook_31792\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005271.lean\",\"93ccdc2b729abd83cd5773d6469586d95903e6f38f49c0b0c5a32999466430e7\",0,\"lean_workbook_31800\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005273.lean\",\"14de230c314542bc6366cb0f99de1d5eba04ae5ec033b5dc57890e3364ce47a1\",0,\"lean_workbook_31805\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206067,
+      "path": "data/train/pe5/goedel_workbook-000210-0000-6f888707c2d155a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "6f888707c2d155a28eaba3655040f70b72aad560e2f7c5ccc64337f032605142"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000211.json b/manifests/batches/goedel_workbook/000211.json
index 52ae28364cb6597286ee308960713cf822b40ef8..27a3d748ea3458dc6f1b323f452ef2c31d5b2012 100644
--- a/manifests/batches/goedel_workbook/000211.json
+++ b/manifests/batches/goedel_workbook/000211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000211",
   "batch_fingerprint": "3ece2d55fceb2e2d197b8cdd8f3127704bb86738c9a987b717f75dbc593e2088",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000211-0000-3d25bb228f410c3d.parquet",
-      "sha256": "3d25bb228f410c3d2f3cd561569e536562473027d37f9910073a2ad319db2b38",
-      "bytes": 85722,
-      "rows": 20,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000211-0000-3b37c0f0edd34755.parquet",
-      "sha256": "3b37c0f0edd3475551bbc8f4ca885862d845488b542906801f6bc3544b335db9",
-      "bytes": 42533,
-      "rows": 3,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000211-0000-85acdf3b83559ce2.parquet",
-      "sha256": "85acdf3b83559ce29d2b74c68d343782fc801f3fd01cbc87a8bd10e89a07f41a",
-      "bytes": 58477,
-      "rows": 8,
-      "revision": "692c3c25eb16562933bab03192decc6e2e4716f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_31811",
     "goedel_workbook:lean_workbook_31836",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005297.lean\",\"c8f43566b5d8b77f307cb389131ae88423ccd449977a47e705b12170e5240380\",0,\"lean_workbook_31903\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005298.lean\",\"4bb70c0374dbb7ca7edfa56d953aeabfdc31be0eda7486cb002908035faf2b77\",0,\"lean_workbook_31904\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005299.lean\",\"a67d2271dc8611099735dc1037b0bbbd1c4cb487f13d28e7ad3b9badd1c73a12\",0,\"lean_workbook_3191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85722,
+      "path": "data/train/pe2/goedel_workbook-000211-0000-3d25bb228f410c3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3d25bb228f410c3d2f3cd561569e536562473027d37f9910073a2ad319db2b38"
+    },
+    {
+      "bytes": 42533,
+      "path": "data/dev/pe2/goedel_workbook-000211-0000-3b37c0f0edd34755.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3b37c0f0edd3475551bbc8f4ca885862d845488b542906801f6bc3544b335db9"
+    },
+    {
+      "bytes": 58477,
+      "path": "data/internal_test/pe2/goedel_workbook-000211-0000-85acdf3b83559ce2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "85acdf3b83559ce29d2b74c68d343782fc801f3fd01cbc87a8bd10e89a07f41a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000212.json b/manifests/batches/goedel_workbook/000212.json
index 8efb0b799d2ebe67c6b8a473936147ef2cb103c6..5e619e6f2023c396ee004a9373602d2892326942 100644
--- a/manifests/batches/goedel_workbook/000212.json
+++ b/manifests/batches/goedel_workbook/000212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000212",
   "batch_fingerprint": "1921cbbf14bca1e77bf678ebb3b14a9c5b709fd02cdc7f9f7f452f7160d3463a",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000212-0000-e4c25e3bb25effc3.parquet",
-      "sha256": "e4c25e3bb25effc36c33547877676ddd575b45a75bdc92b56e8628debc16dd9d",
-      "bytes": 112115,
-      "rows": 29,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000212-0000-3836207b8317bfc3.parquet",
-      "sha256": "3836207b8317bfc3e9da9cef3f92761a0e7efb784d49bc8d994e1ec625c67601",
-      "bytes": 30439,
-      "rows": 1,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000212-0000-d3c9062d8136952e.parquet",
-      "sha256": "d3c9062d8136952e0aa8ffd30fdcf699f459ad57558bae491b751658427bbaa6",
-      "bytes": 29434,
-      "rows": 1,
-      "revision": "7598e373630c87891ba370b42c1c75f1842cf100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3193",
     "goedel_workbook:lean_workbook_31941",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005320.lean\",\"fc9b74cf7608cbe95162053a908789c2555f8ab53a135b3191c4cbde11c6705d\",0,\"lean_workbook_32042\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005322.lean\",\"04d3aea4404dd1aa2c599d8c9f2c373ec79224d1896b85a1ab135b75acf72bfc\",0,\"lean_workbook_32053\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005324.lean\",\"bbb373286d0964f0d7b389d8c3e4174f56dfb61dfee9286a09e724855572f286\",0,\"lean_workbook_32065\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112115,
+      "path": "data/train/p0f/goedel_workbook-000212-0000-e4c25e3bb25effc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e4c25e3bb25effc36c33547877676ddd575b45a75bdc92b56e8628debc16dd9d"
+    },
+    {
+      "bytes": 30439,
+      "path": "data/dev/p0f/goedel_workbook-000212-0000-3836207b8317bfc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3836207b8317bfc3e9da9cef3f92761a0e7efb784d49bc8d994e1ec625c67601"
+    },
+    {
+      "bytes": 29434,
+      "path": "data/internal_test/p0f/goedel_workbook-000212-0000-d3c9062d8136952e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d3c9062d8136952e0aa8ffd30fdcf699f459ad57558bae491b751658427bbaa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000213.json b/manifests/batches/goedel_workbook/000213.json
index 9de376fd6a78b64a08400a3983d6316ad2748ec9..34992fe0e2643c56ce877eed3989db453bb454ef 100644
--- a/manifests/batches/goedel_workbook/000213.json
+++ b/manifests/batches/goedel_workbook/000213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000213",
   "batch_fingerprint": "f0c178aa12fd86ba02de9411dff78ecbc9193a7aae15d44adef062fab2c608d5",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000213-0000-69a965c34a5fad3e.parquet",
-      "sha256": "69a965c34a5fad3e85844e4e954840fc9afffbac61e9d2c392b15c0d21eee421",
-      "bytes": 167911,
-      "rows": 47,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000213-0000-81d69c719a3b3163.parquet",
-      "sha256": "81d69c719a3b3163797659c4a6e89c42170c6679742e2b6238eabaf5d343dbde",
-      "bytes": 35437,
-      "rows": 2,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32067",
     "goedel_workbook:lean_workbook_32069",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005343.lean\",\"f8e1581f8e9b2be555269a644487aeb1260ec984a6a07fdd77e66cbd56351e21\",0,\"lean_workbook_32123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005344.lean\",\"3655f5cfbbe8938dd445cce871445d587f427bb1f0be6bce6f6d6d43d3e326af\",0,\"lean_workbook_32125\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005347.lean\",\"24d4566261d54a5cf0567581aeef4ac66ae0892a49180ca3ec6e2a0fa8d59391\",0,\"lean_workbook_3214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167911,
+      "path": "data/train/p0d/goedel_workbook-000213-0000-69a965c34a5fad3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "69a965c34a5fad3e85844e4e954840fc9afffbac61e9d2c392b15c0d21eee421"
+    },
+    {
+      "bytes": 35437,
+      "path": "data/internal_test/p0d/goedel_workbook-000213-0000-81d69c719a3b3163.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "81d69c719a3b3163797659c4a6e89c42170c6679742e2b6238eabaf5d343dbde"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000214.json b/manifests/batches/goedel_workbook/000214.json
index e27a068ffbbcf44e95c5fb15afd332704aca881c..df8cec495a51cf74e7af98775732b2bcfe4cc6b7 100644
--- a/manifests/batches/goedel_workbook/000214.json
+++ b/manifests/batches/goedel_workbook/000214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000214",
   "batch_fingerprint": "e77ec579f88e8f70963d2a868ec889c174a5a818f6937d0dde20a228867b7c4d",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000214-0000-1333f4ce92825b0f.parquet",
-      "sha256": "1333f4ce92825b0fddab5e1d2e66af3de8e49c1a6db21c8219d22dc8469cc76f",
-      "bytes": 78380,
-      "rows": 17,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000214-0000-292fa56b6ae3ce7f.parquet",
-      "sha256": "292fa56b6ae3ce7f28fcd764b78556df9c9e86d283039d7f5dbdb357b6acf45d",
-      "bytes": 48870,
-      "rows": 7,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32163",
     "goedel_workbook:lean_workbook_3217",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005363.lean\",\"9ed57c5872be5bd660452d33ac5dac51c473a6fbe5cf2d682092ff2334ce2fe9\",0,\"lean_workbook_32229\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005370.lean\",\"09a37089782b4ac8e9cad080539d628f0121ba03d9aab695cc9a966b54cff8f3\",0,\"lean_workbook_32256\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005373.lean\",\"31e460b8fa30901d1922d74e336449704f11c22cc6181aab9921a587b75e2e24\",0,\"lean_workbook_32264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78380,
+      "path": "data/train/p92/goedel_workbook-000214-0000-1333f4ce92825b0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1333f4ce92825b0fddab5e1d2e66af3de8e49c1a6db21c8219d22dc8469cc76f"
+    },
+    {
+      "bytes": 48870,
+      "path": "data/internal_test/p92/goedel_workbook-000214-0000-292fa56b6ae3ce7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "292fa56b6ae3ce7f28fcd764b78556df9c9e86d283039d7f5dbdb357b6acf45d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000215.json b/manifests/batches/goedel_workbook/000215.json
index f415bc2088de38b3d60d24cee80a2b8061ab48e7..bd2267a1ce9e49d609a1e083f47ab21295060921 100644
--- a/manifests/batches/goedel_workbook/000215.json
+++ b/manifests/batches/goedel_workbook/000215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000215",
   "batch_fingerprint": "8243cfa3d427088b063ea83cc46810d39d2f55754811bd772e7f180f06ffd57b",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000215-0000-f569368eca0894c4.parquet",
-      "sha256": "f569368eca0894c4e4c7d568ac0b8300c9df2aec586e6fde7b5fd8af3286c4a5",
-      "bytes": 118669,
-      "rows": 29,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000215-0000-df687d257e2f7dc8.parquet",
-      "sha256": "df687d257e2f7dc8b671a96e6074036d1996b814e420fcfb9bd4803381a4457f",
-      "bytes": 35994,
-      "rows": 2,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000215-0000-3188a16513138086.parquet",
-      "sha256": "3188a16513138086548db244c3bf4e4fa36f3c8cf2d68c9bd2eeedb31355a1d4",
-      "bytes": 52397,
-      "rows": 7,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32273",
     "goedel_workbook:lean_workbook_32275",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005394.lean\",\"ed2b58946b623e72985b0a91095b3da6d5e0d847a12ea261d06264d3710e8129\",0,\"lean_workbook_3233\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005395.lean\",\"d0fcf6f68a893fc83324ea528957afa18395a1e95a9a416e50194976ea63c88d\",0,\"lean_workbook_32333\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005396.lean\",\"45fc8e3111ce3a6f9a5fc9e9f8bb0489b9779e3ac97a2138acecb69e510c0c0e\",0,\"lean_workbook_32339\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118669,
+      "path": "data/train/pa6/goedel_workbook-000215-0000-f569368eca0894c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f569368eca0894c4e4c7d568ac0b8300c9df2aec586e6fde7b5fd8af3286c4a5"
+    },
+    {
+      "bytes": 35994,
+      "path": "data/dev/pa6/goedel_workbook-000215-0000-df687d257e2f7dc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "df687d257e2f7dc8b671a96e6074036d1996b814e420fcfb9bd4803381a4457f"
+    },
+    {
+      "bytes": 52397,
+      "path": "data/internal_test/pa6/goedel_workbook-000215-0000-3188a16513138086.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3188a16513138086548db244c3bf4e4fa36f3c8cf2d68c9bd2eeedb31355a1d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000216.json b/manifests/batches/goedel_workbook/000216.json
index 368fc997d8d632d9d9d48071d1d8ffb1415c7cae..2131c3e739d0af7859edb6e3dab111e6a98dd2ca 100644
--- a/manifests/batches/goedel_workbook/000216.json
+++ b/manifests/batches/goedel_workbook/000216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000216",
   "batch_fingerprint": "16e45b668d7ce0a1b7e341924b8e4e996b444c99d485b9eaddb494e654f6df21",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000216-0000-18b59d67887eb632.parquet",
-      "sha256": "18b59d67887eb63202382fe98e5a799bd79625ea4921f3dc800e86cdb9a4cdc3",
-      "bytes": 164396,
-      "rows": 38,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000216-0000-d14c2940e7b5a9f7.parquet",
-      "sha256": "d14c2940e7b5a9f7c013c1b3a272aecaac11f2a8132b5d073dd3de7bfa42f7a4",
-      "bytes": 56933,
-      "rows": 10,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3237",
     "goedel_workbook:lean_workbook_3238",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005419.lean\",\"f9a0aa247e9c9ab93d5c2cf24c7ceab118dc8d833b0f2680b7bfd7ebe8418557\",0,\"lean_workbook_32449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005421.lean\",\"1df8577fa5cb99641ffac0ae8c50b09bfec1acebcd137d72897f50bba6745fc7\",0,\"lean_workbook_32457\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005422.lean\",\"e568dcf93e22e91b1e38af679d5a5e37f3f31ab74447a7602d7f55a07a8a0f54\",0,\"lean_workbook_32458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164396,
+      "path": "data/train/p5a/goedel_workbook-000216-0000-18b59d67887eb632.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "18b59d67887eb63202382fe98e5a799bd79625ea4921f3dc800e86cdb9a4cdc3"
+    },
+    {
+      "bytes": 56933,
+      "path": "data/internal_test/p5a/goedel_workbook-000216-0000-d14c2940e7b5a9f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d14c2940e7b5a9f7c013c1b3a272aecaac11f2a8132b5d073dd3de7bfa42f7a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000217.json b/manifests/batches/goedel_workbook/000217.json
index 6da3ad562861f4e1f4b9d437cb109591c6d0e778..4d5f18942928074f5aed111e1500563600dc8cac 100644
--- a/manifests/batches/goedel_workbook/000217.json
+++ b/manifests/batches/goedel_workbook/000217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000217",
   "batch_fingerprint": "846488801dd289df63366b88272860512c747f5d6c093992a0699967b0599b5c",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000217-0000-68147165e086c20f.parquet",
-      "sha256": "68147165e086c20fe10dfd873640cab92bfa6c608a6e605fffaf328e681f8ba2",
-      "bytes": 172743,
-      "rows": 36,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000217-0000-f52abca09c71a07c.parquet",
-      "sha256": "f52abca09c71a07cecaba0b7fe546ff034de59e848544bea31e6e613bfcb0f9a",
-      "bytes": 32018,
-      "rows": 1,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000217-0000-8db01cf6c90b1575.parquet",
-      "sha256": "8db01cf6c90b1575785a1f1853e5da0422bee792d6769e522b8bf15a921cb842",
-      "bytes": 60170,
-      "rows": 14,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32464",
     "goedel_workbook:lean_workbook_32476",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005447.lean\",\"ef7b79e79c8dfefb86dc4b42881bb01c24e0487f81b5a83dedd3baedfc42417b\",0,\"lean_workbook_3257\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005448.lean\",\"002f5aabf1ba2611d3aea89f2fd92c093c0e52758a02ac3e2419613008fbaf66\",0,\"lean_workbook_32572\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005449.lean\",\"f850fafa4b6ec3cecca41de11c0759560c047cf7a44f9212bc1e8e943ae08aca\",0,\"lean_workbook_32581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172743,
+      "path": "data/train/p99/goedel_workbook-000217-0000-68147165e086c20f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "68147165e086c20fe10dfd873640cab92bfa6c608a6e605fffaf328e681f8ba2"
+    },
+    {
+      "bytes": 32018,
+      "path": "data/dev/p99/goedel_workbook-000217-0000-f52abca09c71a07c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f52abca09c71a07cecaba0b7fe546ff034de59e848544bea31e6e613bfcb0f9a"
+    },
+    {
+      "bytes": 60170,
+      "path": "data/internal_test/p99/goedel_workbook-000217-0000-8db01cf6c90b1575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8db01cf6c90b1575785a1f1853e5da0422bee792d6769e522b8bf15a921cb842"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000218.json b/manifests/batches/goedel_workbook/000218.json
index 228eaaccd9c5cb5b622105f2bc8390058bb45856..facd48a72d12306fefabee410f19b86eff83e970 100644
--- a/manifests/batches/goedel_workbook/000218.json
+++ b/manifests/batches/goedel_workbook/000218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000218",
   "batch_fingerprint": "e3f572bc988b4d1471df8e34f622f811d2c0dd32751da926252e8d90327efe15",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000218-0000-0813d463d2db5032.parquet",
-      "sha256": "0813d463d2db50324b66be8e2204169f8326ec005893c58fadc9cc5fab370245",
-      "bytes": 123272,
-      "rows": 25,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000218-0000-5cb09104ef322c9a.parquet",
-      "sha256": "5cb09104ef322c9ad3d83b4eeaf41469d497ffad675d06d6827d573d58d0f4a0",
-      "bytes": 44994,
-      "rows": 5,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000218-0000-e0540099fe0b87ef.parquet",
-      "sha256": "e0540099fe0b87ef89f691d45b10e284fe2b1aab6701c8c8374e0c171712fb89",
-      "bytes": 27995,
-      "rows": 1,
-      "revision": "8f3049589f541b2c2374505bcec3baf35ae3472d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32584",
     "goedel_workbook:lean_workbook_32601",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005466.lean\",\"248936d7097b9410b367569e2cd9c84e843632e62ba0828f3cc05444e9ce8b80\",0,\"lean_workbook_32639\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005472.lean\",\"88d354c6fa8ae0f77ffc50e362d36f61a4cf7971c47385542c6a1e7da04faf41\",0,\"lean_workbook_32660\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005474.lean\",\"ff8042b73bfb39a5ca0c74e68eb3ba1b0e7e6452dce0cbfcf1f34817fa132795\",0,\"lean_workbook_32663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123272,
+      "path": "data/train/p86/goedel_workbook-000218-0000-0813d463d2db5032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0813d463d2db50324b66be8e2204169f8326ec005893c58fadc9cc5fab370245"
+    },
+    {
+      "bytes": 44994,
+      "path": "data/dev/p86/goedel_workbook-000218-0000-5cb09104ef322c9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5cb09104ef322c9ad3d83b4eeaf41469d497ffad675d06d6827d573d58d0f4a0"
+    },
+    {
+      "bytes": 27995,
+      "path": "data/internal_test/p86/goedel_workbook-000218-0000-e0540099fe0b87ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e0540099fe0b87ef89f691d45b10e284fe2b1aab6701c8c8374e0c171712fb89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000219.json b/manifests/batches/goedel_workbook/000219.json
index e5955b56527f897991502aaed5442ca2eaac39c6..63741f09d457f65ad687bba73dac0f7d1510a09c 100644
--- a/manifests/batches/goedel_workbook/000219.json
+++ b/manifests/batches/goedel_workbook/000219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000219",
   "batch_fingerprint": "9036bc80a3332b7addf70e7a4442dabd7efaad0c7fe1b2d250f4f1f9d59cf507",
   "evidence": {
@@ -317,22 +316,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000219-0000-3a7a628051c0c2cd.parquet",
-      "sha256": "3a7a628051c0c2cdcd5fc89de4fd3f73f48030d1bc1d5a37063f9d427c87fed1",
-      "bytes": 177870,
-      "rows": 34,
-      "revision": "1b44765a57a3f964e86d282ed41ba9b617a3437d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000219-0000-398e910b4e56ff77.parquet",
-      "sha256": "398e910b4e56ff7794972d11920320d65c984369499d7a9167327f08352b51a8",
-      "bytes": 74828,
-      "rows": 13,
-      "revision": "1b44765a57a3f964e86d282ed41ba9b617a3437d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32705",
     "goedel_workbook:lean_workbook_32714",
@@ -354,5 +338,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005496.lean\",\"6539d308a8a76bfddf47d175fea39bc6bb460042b8a728192f6392dada51994b\",0,\"lean_workbook_32774\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005498.lean\",\"d6a3b9b01302d4ce7264f67ec4518265ada24981afb77782003f2b8fecaba20b\",0,\"lean_workbook_32781\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005499.lean\",\"d91048fccd16661aafd3a69bf96da041eab607c07e0441de54befbdb338d00e1\",0,\"lean_workbook_32785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177870,
+      "path": "data/train/p1c/goedel_workbook-000219-0000-3a7a628051c0c2cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "3a7a628051c0c2cdcd5fc89de4fd3f73f48030d1bc1d5a37063f9d427c87fed1"
+    },
+    {
+      "bytes": 74828,
+      "path": "data/dev/p1c/goedel_workbook-000219-0000-398e910b4e56ff77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "398e910b4e56ff7794972d11920320d65c984369499d7a9167327f08352b51a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000220.json b/manifests/batches/goedel_workbook/000220.json
index d64b89ac29b59fad13f7ecad734028eb11561720..1bec646e9240f47fe3a371bbc266d79250e77132 100644
--- a/manifests/batches/goedel_workbook/000220.json
+++ b/manifests/batches/goedel_workbook/000220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000220",
   "batch_fingerprint": "357fc9bfaf3f36e8851c27c284f161f5cec043a3f61c58ddbd3e82b94728ae30",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000220-0000-dee39223f6221ef0.parquet",
-      "sha256": "dee39223f6221ef0c42c4551da307fc7d1e71565aab0cf90a8a9ff4feb87e19a",
-      "bytes": 174873,
-      "rows": 43,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000220-0000-932f74dfecfc5ab5.parquet",
-      "sha256": "932f74dfecfc5ab599393492c01d3eeadead028733c1b76fa12a66fbd9f728d6",
-      "bytes": 36388,
-      "rows": 2,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32787",
     "goedel_workbook:lean_workbook_32790",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005522.lean\",\"44d677fcebebc9d46127f3ab8adb7c3426c68194acc37b99f8df695a2faa38f2\",0,\"lean_workbook_3290\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005523.lean\",\"1cde5015cad3c93b1a1d7b56b35290fd3ebd33313732bcf72df59c4082fa8dcd\",0,\"lean_workbook_32911\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005524.lean\",\"3cd3ee7bab751d3228aa2d0455368f56561779d146d56bfb7018f71ca46f40a4\",0,\"lean_workbook_32919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174873,
+      "path": "data/train/p29/goedel_workbook-000220-0000-dee39223f6221ef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "dee39223f6221ef0c42c4551da307fc7d1e71565aab0cf90a8a9ff4feb87e19a"
+    },
+    {
+      "bytes": 36388,
+      "path": "data/internal_test/p29/goedel_workbook-000220-0000-932f74dfecfc5ab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "932f74dfecfc5ab599393492c01d3eeadead028733c1b76fa12a66fbd9f728d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000221.json b/manifests/batches/goedel_workbook/000221.json
index f0e3b43e8f26092738669ee0807de10e0ef442d2..523bf40da4fc060a91f539142cb1ba53d1ec589a 100644
--- a/manifests/batches/goedel_workbook/000221.json
+++ b/manifests/batches/goedel_workbook/000221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000221",
   "batch_fingerprint": "d41f8cf832ce79dca1cace266b9894add2698a068255005ffdfdc95e32ddb4f8",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000221-0000-814a80faf200daf7.parquet",
-      "sha256": "814a80faf200daf74e93db440ae4d1a2b7018e54e3a6426a85118fd4cce42361",
-      "bytes": 187757,
-      "rows": 39,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000221-0000-ae65af7d821ede66.parquet",
-      "sha256": "ae65af7d821ede660135e265fb7e91451091d1a68f880731bee5a26c4306dbcc",
-      "bytes": 46833,
-      "rows": 4,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_32920",
     "goedel_workbook:lean_workbook_32924",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005546.lean\",\"35fe7de4cb314b0c6585ec2172a175dbacee1ce63aa413901d9386a759f2410a\",0,\"lean_workbook_32981\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005547.lean\",\"d1b6eb626d0ea0bf389fd877ca1935f5b1dbdcb6c05f197adaea67e5cf1915b5\",0,\"lean_workbook_32983\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005549.lean\",\"a1cc5ffaa10453e4ff3b178d7f96c68bebbea8dbe081ab67898217c87b439a26\",0,\"lean_workbook_32995\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187757,
+      "path": "data/train/p5b/goedel_workbook-000221-0000-814a80faf200daf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "814a80faf200daf74e93db440ae4d1a2b7018e54e3a6426a85118fd4cce42361"
+    },
+    {
+      "bytes": 46833,
+      "path": "data/internal_test/p5b/goedel_workbook-000221-0000-ae65af7d821ede66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ae65af7d821ede660135e265fb7e91451091d1a68f880731bee5a26c4306dbcc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000222.json b/manifests/batches/goedel_workbook/000222.json
index 149e5c4fe7cd439bf06594e729a0ecfaa5a1f0b0..a3e7c0f4f8af8e7f9429674ead109c4ad460c977 100644
--- a/manifests/batches/goedel_workbook/000222.json
+++ b/manifests/batches/goedel_workbook/000222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000222",
   "batch_fingerprint": "96aa5734c04c7c4729cd368eab96828b066d21310243c28313a8160fb7d85d61",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000222-0000-90d974b221460be5.parquet",
-      "sha256": "90d974b221460be5826d862e61dad2fd0a6f0e2be0ae321e6f94520d3d8d139d",
-      "bytes": 103791,
-      "rows": 30,
-      "revision": "bf683f2f45f6f8f1cc62e02b768f23f224c5dbc8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000222-0000-665fc4026feb090f.parquet",
-      "sha256": "665fc4026feb090f66d60b55652f051c81b0559573c9e7442ac4a02a373ffe8c",
-      "bytes": 37731,
-      "rows": 4,
-      "revision": "bf683f2f45f6f8f1cc62e02b768f23f224c5dbc8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33000",
     "goedel_workbook:lean_workbook_33003",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005570.lean\",\"d211d5c025a5b42c6d31f1f4be5a05544f4b60224b560fa0910ae6d3e868b1de\",0,\"lean_workbook_33066\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005571.lean\",\"134bea527508dce6123fd50d9e17ad5de827bb3fdef902ad7089c8d3bc588606\",0,\"lean_workbook_33069\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005572.lean\",\"baf6660b583e817f0ac2c8f4a1606354b7c36c0b3fb68529617329708a1d2972\",0,\"lean_workbook_3307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103791,
+      "path": "data/train/p07/goedel_workbook-000222-0000-90d974b221460be5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "90d974b221460be5826d862e61dad2fd0a6f0e2be0ae321e6f94520d3d8d139d"
+    },
+    {
+      "bytes": 37731,
+      "path": "data/dev/p07/goedel_workbook-000222-0000-665fc4026feb090f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "665fc4026feb090f66d60b55652f051c81b0559573c9e7442ac4a02a373ffe8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000223.json b/manifests/batches/goedel_workbook/000223.json
index 5e540c491bf82753c3287e92b23773f1b069145e..1241d357addc969fe196cb249496dffa9ed31f5c 100644
--- a/manifests/batches/goedel_workbook/000223.json
+++ b/manifests/batches/goedel_workbook/000223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000223",
   "batch_fingerprint": "09865da083c96b30d5330a8c75f2c83e956a04857c592898f647f41a46ea892d",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000223-0000-31314fd4c5c7a25f.parquet",
-      "sha256": "31314fd4c5c7a25f4b8a856dc4f2f428f11b1cd9ecce13c224698188a9dfc05f",
-      "bytes": 110281,
-      "rows": 29,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000223-0000-5617858b0cb90bf0.parquet",
-      "sha256": "5617858b0cb90bf063ebb922edef1fdfb1e540b4a2587a4eaf51fc561c55dde0",
-      "bytes": 59016,
-      "rows": 9,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33088",
     "goedel_workbook:lean_workbook_33096",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005597.lean\",\"6f8ea8486ad5b4cba5478806e4ffc4a859df15a9bad2fe452fbea743aa05d08c\",0,\"lean_workbook_33198\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005598.lean\",\"d38e8d05369690fdc99b083545d44f1d2a8e5a3e15abcd59f7f687edfcdaf84b\",0,\"lean_workbook_33199\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005599.lean\",\"fd98f19158a01a92ac61ca483e8af72f653297355e4b7b8ac9ba3628737f3990\",0,\"lean_workbook_33200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110281,
+      "path": "data/train/p91/goedel_workbook-000223-0000-31314fd4c5c7a25f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "31314fd4c5c7a25f4b8a856dc4f2f428f11b1cd9ecce13c224698188a9dfc05f"
+    },
+    {
+      "bytes": 59016,
+      "path": "data/internal_test/p91/goedel_workbook-000223-0000-5617858b0cb90bf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5617858b0cb90bf063ebb922edef1fdfb1e540b4a2587a4eaf51fc561c55dde0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000224.json b/manifests/batches/goedel_workbook/000224.json
index 036badfcb65101dc2cc65f256907c5c07faf2320..a08ce4fccf1ed32a16835e9f29890a99e154d374 100644
--- a/manifests/batches/goedel_workbook/000224.json
+++ b/manifests/batches/goedel_workbook/000224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000224",
   "batch_fingerprint": "f261b14affae6692b77808b2256d5ce9cf2b4d5a9e8efd016eb58edff6416984",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000224-0000-7c48ef9ec2b6d0cb.parquet",
-      "sha256": "7c48ef9ec2b6d0cbf4797c82ceb5118fbdbec1381a66b69e28664541a3fbb391",
-      "bytes": 174041,
-      "rows": 43,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000224-0000-77b0a04f285fa732.parquet",
-      "sha256": "77b0a04f285fa732d2294fdf3e4eddd65774d78b7b7e3a3518e3d46670ff9cc7",
-      "bytes": 44660,
-      "rows": 3,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000224-0000-4bda095b986b3004.parquet",
-      "sha256": "4bda095b986b30040c2620e822ce5beb4cce929e8163c797716de2191496edb0",
-      "bytes": 33344,
-      "rows": 3,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33203",
     "goedel_workbook:lean_workbook_33205",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005621.lean\",\"add938447eee91d9e9f67cf8b8419a94dcfb11202bdf29df1363fe9e92578268\",0,\"lean_workbook_33293\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005622.lean\",\"6f74014262dd38808cf655f80c01cfda137e1abd7de43e955c9c0f0ad062028a\",0,\"lean_workbook_33297\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005624.lean\",\"2b52f8fcf7f34e0018d0d3c6726700ac0081ac1a4dc144a808f5287bc61635e3\",0,\"lean_workbook_33299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174041,
+      "path": "data/train/pac/goedel_workbook-000224-0000-7c48ef9ec2b6d0cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7c48ef9ec2b6d0cbf4797c82ceb5118fbdbec1381a66b69e28664541a3fbb391"
+    },
+    {
+      "bytes": 44660,
+      "path": "data/dev/pac/goedel_workbook-000224-0000-77b0a04f285fa732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "77b0a04f285fa732d2294fdf3e4eddd65774d78b7b7e3a3518e3d46670ff9cc7"
+    },
+    {
+      "bytes": 33344,
+      "path": "data/internal_test/pac/goedel_workbook-000224-0000-4bda095b986b3004.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4bda095b986b30040c2620e822ce5beb4cce929e8163c797716de2191496edb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000225.json b/manifests/batches/goedel_workbook/000225.json
index 3b70f53b9dd39131e63e578b046624d130a5d9c2..6e234a8ecb93e606aff45f9696c4fb770b5edcef 100644
--- a/manifests/batches/goedel_workbook/000225.json
+++ b/manifests/batches/goedel_workbook/000225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000225",
   "batch_fingerprint": "e7b24de14748e35c17202c0d85f2342d44997262fa577858b4b10fb0b6548265",
   "evidence": {
@@ -271,15 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000225-0000-3bc1ad917e6087bb.parquet",
-      "sha256": "3bc1ad917e6087bb30dbedebed1594d2275fb06b37951a7fbc27cd4104bd1d60",
-      "bytes": 128852,
-      "rows": 28,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33325",
     "goedel_workbook:lean_workbook_33326",
@@ -305,5 +296,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005646.lean\",\"47bd2fd8b0206590dba008ac4c88ff50c5ea98e5660a8c4b28ff978a45d73636\",0,\"lean_workbook_33383\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005647.lean\",\"22554cc2d37f1c99d25f57217e10170e063b545ca05166fbeef8b467bc2f017c\",0,\"lean_workbook_33385\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005649.lean\",\"63aff90b72bc90946f607c6c458a6c5215da6f3006123357e70f942232946439\",0,\"lean_workbook_33392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128852,
+      "path": "data/train/p46/goedel_workbook-000225-0000-3bc1ad917e6087bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "3bc1ad917e6087bb30dbedebed1594d2275fb06b37951a7fbc27cd4104bd1d60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000226.json b/manifests/batches/goedel_workbook/000226.json
index a5d1f73e6e22505b8a828eef14592be36fa5f28f..b0347961496882b632a0f455bfe392f2f4031dff 100644
--- a/manifests/batches/goedel_workbook/000226.json
+++ b/manifests/batches/goedel_workbook/000226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000226",
   "batch_fingerprint": "ef8958d64543a362c63a14d37d0a30aa441a575d248a1c98ab496e424beb76ec",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000226-0000-4cb6f0d0382256aa.parquet",
-      "sha256": "4cb6f0d0382256aa333ce799975fe4f0d4ad8ccde71f47a8931f7c66dff35c83",
-      "bytes": 112555,
-      "rows": 21,
-      "revision": "3c6265efe0c038e8804af04614f4c142a7bee56c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000226-0000-1a77efca7edc85ea.parquet",
-      "sha256": "1a77efca7edc85eaa60009f1aa36697de02ee4b301422c2702d132e9f364bbea",
-      "bytes": 29377,
-      "rows": 1,
-      "revision": "3c6265efe0c038e8804af04614f4c142a7bee56c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000226-0000-0ab5ac79b28b2051.parquet",
-      "sha256": "0ab5ac79b28b205131d98d49b530b4265c6a38e29aa87b1ab22ae25656e1fc6d",
-      "bytes": 35895,
-      "rows": 4,
-      "revision": "3c6265efe0c038e8804af04614f4c142a7bee56c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33397",
     "goedel_workbook:lean_workbook_33400",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005668.lean\",\"3a3d15ea5499452b465c97788d1c559275ad2ee1c73d8b07241442bc97398bae\",0,\"lean_workbook_33459\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005669.lean\",\"7b4452ca05f2d7bae781b200b36845aa09df0af86734eee0cf60d5f117c51a58\",0,\"lean_workbook_33461\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005674.lean\",\"b72ca7085f5572cb2d408a320b245f6be82b1baf81fc2a65b6e1d03d28f5ac77\",0,\"lean_workbook_33488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112555,
+      "path": "data/train/pf7/goedel_workbook-000226-0000-4cb6f0d0382256aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4cb6f0d0382256aa333ce799975fe4f0d4ad8ccde71f47a8931f7c66dff35c83"
+    },
+    {
+      "bytes": 29377,
+      "path": "data/dev/pf7/goedel_workbook-000226-0000-1a77efca7edc85ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1a77efca7edc85eaa60009f1aa36697de02ee4b301422c2702d132e9f364bbea"
+    },
+    {
+      "bytes": 35895,
+      "path": "data/internal_test/pf7/goedel_workbook-000226-0000-0ab5ac79b28b2051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0ab5ac79b28b205131d98d49b530b4265c6a38e29aa87b1ab22ae25656e1fc6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000227.json b/manifests/batches/goedel_workbook/000227.json
index b369a66ee8c5b436560ab90874da74600ace1bd7..87430b15305c9e76bdfbb6db9a7b8ffd044c477b 100644
--- a/manifests/batches/goedel_workbook/000227.json
+++ b/manifests/batches/goedel_workbook/000227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000227",
   "batch_fingerprint": "b80e9da66c8d84c43332ececf9ea689ccdd38c64280fbcd5c15849f935aa01d9",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000227-0000-a2d457ec99323a9b.parquet",
-      "sha256": "a2d457ec99323a9b1b3281f344bc857a3a54a331a9d7e116c5bbdcde5e020052",
-      "bytes": 168359,
-      "rows": 32,
-      "revision": "3c6265efe0c038e8804af04614f4c142a7bee56c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33490",
     "goedel_workbook:lean_workbook_33519",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005693.lean\",\"5dc658576bd78e75f2a3236ffaae7280e83bee5941f25e06a1d9a3ef7f51eff0\",0,\"lean_workbook_33549\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005694.lean\",\"7d28382271f407b61b43d90e8e323cbb1070ebe74ea359b419a9b1fdbc4d0b80\",0,\"lean_workbook_33554\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005696.lean\",\"cd978390fd67f87ffa74057fcab2e2587e3357d56e80e1a4a6e14dfcd73fb29f\",0,\"lean_workbook_3356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168359,
+      "path": "data/train/pbd/goedel_workbook-000227-0000-a2d457ec99323a9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a2d457ec99323a9b1b3281f344bc857a3a54a331a9d7e116c5bbdcde5e020052"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000228.json b/manifests/batches/goedel_workbook/000228.json
index a94f4d22bfe1f7881a1bdeb860e47ffe2e414f95..dd26389a4ccb2cfd87314c2f56e1b4e14f3b3eee 100644
--- a/manifests/batches/goedel_workbook/000228.json
+++ b/manifests/batches/goedel_workbook/000228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000228",
   "batch_fingerprint": "b361ff18a630b315bd5225a685855b2663b35e95d7ed0fd403f43fa97ca401f4",
   "evidence": {
@@ -262,29 +261,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000228-0000-eb541b89009194ce.parquet",
-      "sha256": "eb541b89009194ce33928d2b83c7b97f795f6979faab050264d962970ddf3d45",
-      "bytes": 106303,
-      "rows": 28,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000228-0000-0b754d945f09bd3e.parquet",
-      "sha256": "0b754d945f09bd3ec268de603397e36303f4b7bc49edc11016516f54c2a71a54",
-      "bytes": 29269,
-      "rows": 1,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000228-0000-ebf1c83adaa9485a.parquet",
-      "sha256": "ebf1c83adaa9485ae53f4ff6f2765b947a015651d47de2513fdef6eece9c9663",
-      "bytes": 35978,
-      "rows": 2,
-      "revision": "37c63ab73bdd58b5866493463533ea696f1b94b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3357",
     "goedel_workbook:lean_workbook_33576",
@@ -312,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005720.lean\",\"3f214489c2d7c3ec673889a38044a821fb49f006616a5a6ac69df9b9bfe26e63\",0,\"lean_workbook_33642\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005721.lean\",\"fa67598fc794e5748b225faf3a1ac05060af9516c2376fd9588ef18ecb53b0e0\",0,\"lean_workbook_33643\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005724.lean\",\"039ad887cd7478da847f540b8d8cb624b722ce45f777b3e0ffb2801df599a4a1\",0,\"lean_workbook_33650\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106303,
+      "path": "data/train/pb1/goedel_workbook-000228-0000-eb541b89009194ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "eb541b89009194ce33928d2b83c7b97f795f6979faab050264d962970ddf3d45"
+    },
+    {
+      "bytes": 29269,
+      "path": "data/dev/pb1/goedel_workbook-000228-0000-0b754d945f09bd3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0b754d945f09bd3ec268de603397e36303f4b7bc49edc11016516f54c2a71a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000229.json b/manifests/batches/goedel_workbook/000229.json
index cd67d2c443b11f094b0d6096ab76b40b6f5b2d08..00729190c29b5daa06a9d8b2d006c630ef05306e 100644
--- a/manifests/batches/goedel_workbook/000229.json
+++ b/manifests/batches/goedel_workbook/000229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000229",
   "batch_fingerprint": "b654258c0912631673380135231c3e592b5a47934290f916bec1a10bd7f6814a",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000229-0000-abc0cd1a9071618f.parquet",
-      "sha256": "abc0cd1a9071618fa5492b9c20d294bc14060e70dc46b3dce5e29b997315c04d",
-      "bytes": 110260,
-      "rows": 31,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000229-0000-edbc6e389125d2f8.parquet",
-      "sha256": "edbc6e389125d2f8da36b73a6496ec23203cf2d68be569c6a586c18c2b15eaa6",
-      "bytes": 52256,
-      "rows": 5,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33657",
     "goedel_workbook:lean_workbook_33672",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005746.lean\",\"68ec8b96b865f3e607c6ec04d88fcd1d0fcaef697201ea2d63a407f21b4990de\",0,\"lean_workbook_33734\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005747.lean\",\"87e05393998891f20c5a1d384c616f535cdd95779119b704cc186f57a14fc480\",0,\"lean_workbook_33737\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005748.lean\",\"b06230ab7e14a7c38c94e9be187e47cf7aaea7cc924645e2394c4ed4d1c6dc89\",0,\"lean_workbook_33738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110260,
+      "path": "data/train/pfd/goedel_workbook-000229-0000-abc0cd1a9071618f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "abc0cd1a9071618fa5492b9c20d294bc14060e70dc46b3dce5e29b997315c04d"
+    },
+    {
+      "bytes": 52256,
+      "path": "data/internal_test/pfd/goedel_workbook-000229-0000-edbc6e389125d2f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "edbc6e389125d2f8da36b73a6496ec23203cf2d68be569c6a586c18c2b15eaa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000230.json b/manifests/batches/goedel_workbook/000230.json
index 7ceea46bde613251bfc9a693c93e6839a5375bc1..828fdd441f38d0a63b2fed69f124d5469f299782 100644
--- a/manifests/batches/goedel_workbook/000230.json
+++ b/manifests/batches/goedel_workbook/000230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000230",
   "batch_fingerprint": "11d373b6a1783f59109878a8d6b609f170f5c74cdfbd4d4a8ac76c0659981e82",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000230-0000-eb52ecb0b1722221.parquet",
-      "sha256": "eb52ecb0b1722221b5cd62701c9d8b25a7172a3c553f7f22e639d275e37fb7e7",
-      "bytes": 62738,
-      "rows": 11,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000230-0000-79127f53c5c9523c.parquet",
-      "sha256": "79127f53c5c9523c8b979bdb7c3e87b7130ebfb4aed4e8447270e5a193925952",
-      "bytes": 43930,
-      "rows": 5,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000230-0000-ddc889c9dec0858c.parquet",
-      "sha256": "ddc889c9dec0858c01bf323cf33676042bc9a5fcafae6abb884fb484ec726052",
-      "bytes": 37627,
-      "rows": 1,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33749",
     "goedel_workbook:lean_workbook_33759",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005765.lean\",\"03c3078f10c41bc41dbd48bb0b70393afe85b7dd34a845bac50ee07971aae559\",0,\"lean_workbook_33785\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005766.lean\",\"642b9be52f20204ef31cfaefabaeaf44380c9f9fa41f1a724704bf150613e382\",0,\"lean_workbook_33786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005771.lean\",\"fea226c871171291c1e1c29f71e5535a1316dafd14e75c02606e4f650647ed9f\",0,\"lean_workbook_33810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62738,
+      "path": "data/train/pdd/goedel_workbook-000230-0000-eb52ecb0b1722221.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "eb52ecb0b1722221b5cd62701c9d8b25a7172a3c553f7f22e639d275e37fb7e7"
+    },
+    {
+      "bytes": 43930,
+      "path": "data/dev/pdd/goedel_workbook-000230-0000-79127f53c5c9523c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "79127f53c5c9523c8b979bdb7c3e87b7130ebfb4aed4e8447270e5a193925952"
+    },
+    {
+      "bytes": 37627,
+      "path": "data/internal_test/pdd/goedel_workbook-000230-0000-ddc889c9dec0858c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ddc889c9dec0858c01bf323cf33676042bc9a5fcafae6abb884fb484ec726052"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000231.json b/manifests/batches/goedel_workbook/000231.json
index e5e7ba96300f0657ebe19dd6b7b35345d4d85a99..d9686028969fa8b2da60c126bda7b243380276c4 100644
--- a/manifests/batches/goedel_workbook/000231.json
+++ b/manifests/batches/goedel_workbook/000231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000231",
   "batch_fingerprint": "c39efb67f3d2b1e576bc021acc1d3a8c91be3923eb8c0a4859c1e4020f32360b",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000231-0000-cba47b266b856891.parquet",
-      "sha256": "cba47b266b856891dca1221032460d257cbc5e0c00790b1546bbab1a064709dd",
-      "bytes": 146897,
-      "rows": 24,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000231-0000-65a3fa674a0ba9ed.parquet",
-      "sha256": "65a3fa674a0ba9ed43ca92d10acf28441bc425ac1932de3a5e96d75c8fa60d69",
-      "bytes": 31619,
-      "rows": 1,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33826",
     "goedel_workbook:lean_workbook_33828",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005793.lean\",\"d81deba714ea62d13224714b74858edc3f4e0df1b679a6dbc0e5f6c4feff0d23\",0,\"lean_workbook_33882\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005795.lean\",\"8944e64ee88bb71885ea28d3ed5ef2567d7b38f60c393d3d80bd0820ece8c6b5\",0,\"lean_workbook_33894\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005796.lean\",\"7326fbb3ec15cf4186e6b4630987b329ee320e3d4bc06edaca4bdd46f0794dcf\",0,\"lean_workbook_33900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146897,
+      "path": "data/train/p7f/goedel_workbook-000231-0000-cba47b266b856891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cba47b266b856891dca1221032460d257cbc5e0c00790b1546bbab1a064709dd"
+    },
+    {
+      "bytes": 31619,
+      "path": "data/dev/p7f/goedel_workbook-000231-0000-65a3fa674a0ba9ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "65a3fa674a0ba9ed43ca92d10acf28441bc425ac1932de3a5e96d75c8fa60d69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000232.json b/manifests/batches/goedel_workbook/000232.json
index a4ed5de9749f931d4d2c431895991b876d3e9f8b..9d17075214106fba1afabb5fa26b05774f4de56d 100644
--- a/manifests/batches/goedel_workbook/000232.json
+++ b/manifests/batches/goedel_workbook/000232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000232",
   "batch_fingerprint": "7b10e352f3c289254d7a364114ef7b8c76b4d2ea39fb4f01228b5a7ce16c9396",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000232-0000-15a5bc7bf742f7e2.parquet",
-      "sha256": "15a5bc7bf742f7e25329a18a38d6a35b5c449e404c2133c4b254bbfc71c34957",
-      "bytes": 105351,
-      "rows": 23,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000232-0000-ae10bbe75cd54978.parquet",
-      "sha256": "ae10bbe75cd54978c179f78e9a8319e1445401411c84f6c3612d634bee372462",
-      "bytes": 48249,
-      "rows": 5,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000232-0000-63ac66e336c4abc2.parquet",
-      "sha256": "63ac66e336c4abc2c5d2c9921384f28c877de83a73c076132042bb13099c4360",
-      "bytes": 49318,
-      "rows": 8,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_33941",
     "goedel_workbook:lean_workbook_33955",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005820.lean\",\"c1262bd8761cfdca6f8c8618642fbd7038a7ce6e65b89dc32a9f85f241502404\",0,\"lean_workbook_33994\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005822.lean\",\"1af2bec72b3c7ab07de4c79b8223da4fd7d8693e74b655ba65f6087ebd10dce1\",0,\"lean_workbook_34\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005824.lean\",\"b7fefb548b9d3aa99c070b43f145a11bdc3b864ba30cf5f34b4715340e3c11c5\",0,\"lean_workbook_34014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105351,
+      "path": "data/train/pce/goedel_workbook-000232-0000-15a5bc7bf742f7e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "15a5bc7bf742f7e25329a18a38d6a35b5c449e404c2133c4b254bbfc71c34957"
+    },
+    {
+      "bytes": 48249,
+      "path": "data/dev/pce/goedel_workbook-000232-0000-ae10bbe75cd54978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ae10bbe75cd54978c179f78e9a8319e1445401411c84f6c3612d634bee372462"
+    },
+    {
+      "bytes": 49318,
+      "path": "data/internal_test/pce/goedel_workbook-000232-0000-63ac66e336c4abc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "63ac66e336c4abc2c5d2c9921384f28c877de83a73c076132042bb13099c4360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000233.json b/manifests/batches/goedel_workbook/000233.json
index 336d95761af11545776f31cbc22aaed786b6d448..94b288c45aaec7ec3cb2ff7b9febedd1273867ac 100644
--- a/manifests/batches/goedel_workbook/000233.json
+++ b/manifests/batches/goedel_workbook/000233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000233",
   "batch_fingerprint": "e113cb2982c90c44336b9954ce11387df0e8a6f3d736657f9622f4b3e9036b2a",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000233-0000-3272592b5adeaf81.parquet",
-      "sha256": "3272592b5adeaf81431db7c2bfad46bf9362ca3cfafdbbaad5404906dcd277bf",
-      "bytes": 209187,
-      "rows": 33,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000233-0000-4294c0ec9f311d87.parquet",
-      "sha256": "4294c0ec9f311d87314fcb11d97beb3fb104605290480f6f349215e3b3cd8e70",
-      "bytes": 40601,
-      "rows": 6,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000233-0000-7dd277522fd3896d.parquet",
-      "sha256": "7dd277522fd3896ddbf2088f265be11d50f8c34679f784ac26e9be60df34215e",
-      "bytes": 33093,
-      "rows": 1,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34027",
     "goedel_workbook:lean_workbook_34029",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005844.lean\",\"c3cb88a03c2ef2695d3daa082ccff6a5e89f6762b959d1171542361b0d219ebb\",0,\"lean_workbook_34085\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005846.lean\",\"4f79a5bffc8ac5389a33c22cbc42635de5fe2f4581ba6a5dcbc4715b366c8f09\",0,\"lean_workbook_34089\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005849.lean\",\"0b941e2895819636e8b9548be9d2af28f87de36e1cdb6bf038c44cf408f68f16\",0,\"lean_workbook_3411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209187,
+      "path": "data/train/p5d/goedel_workbook-000233-0000-3272592b5adeaf81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3272592b5adeaf81431db7c2bfad46bf9362ca3cfafdbbaad5404906dcd277bf"
+    },
+    {
+      "bytes": 40601,
+      "path": "data/dev/p5d/goedel_workbook-000233-0000-4294c0ec9f311d87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4294c0ec9f311d87314fcb11d97beb3fb104605290480f6f349215e3b3cd8e70"
+    },
+    {
+      "bytes": 33093,
+      "path": "data/internal_test/p5d/goedel_workbook-000233-0000-7dd277522fd3896d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7dd277522fd3896ddbf2088f265be11d50f8c34679f784ac26e9be60df34215e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000234.json b/manifests/batches/goedel_workbook/000234.json
index 35f84f5fb59db24f4897b850b31425c3699c7371..3f10226c9b31b1f23502e9faa7212678d6ad9510 100644
--- a/manifests/batches/goedel_workbook/000234.json
+++ b/manifests/batches/goedel_workbook/000234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000234",
   "batch_fingerprint": "450defb7d67793863a50a15fc16c51a53be0af022f1ede59c5dadc0ea0f9c353",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000234-0000-8b77aee6e02e7a9c.parquet",
-      "sha256": "8b77aee6e02e7a9ccb4c5ba5ebc42b4328a62cfb9719caf87b81d1bf4fecb13d",
-      "bytes": 124205,
-      "rows": 31,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000234-0000-42c0e963fd2e315a.parquet",
-      "sha256": "42c0e963fd2e315afb024809d1649e0ce846790c23c56d617057cee1eb03864d",
-      "bytes": 45540,
-      "rows": 6,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000234-0000-04dbb28474733a7a.parquet",
-      "sha256": "04dbb28474733a7a7a8e34be4124f30ddf308ab2b1218101de44ceb1cfa895bb",
-      "bytes": 40127,
-      "rows": 3,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34136",
     "goedel_workbook:lean_workbook_34137",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005868.lean\",\"2a68b46825e26a85ebbca3b1f9c82d7ab82e8cc84af935969bc034aac18eb00f\",0,\"lean_workbook_34189\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005871.lean\",\"25cebf02ead7b8b8d85cf84e89423927abb5a19f5a0d46e06f85965203b798b5\",0,\"lean_workbook_34192\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005873.lean\",\"44b4228838a44fec24681b1af73a64d004498d1bb36b4cfe4474d4cba9790f99\",0,\"lean_workbook_34203\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124205,
+      "path": "data/train/p8d/goedel_workbook-000234-0000-8b77aee6e02e7a9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8b77aee6e02e7a9ccb4c5ba5ebc42b4328a62cfb9719caf87b81d1bf4fecb13d"
+    },
+    {
+      "bytes": 45540,
+      "path": "data/dev/p8d/goedel_workbook-000234-0000-42c0e963fd2e315a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "42c0e963fd2e315afb024809d1649e0ce846790c23c56d617057cee1eb03864d"
+    },
+    {
+      "bytes": 40127,
+      "path": "data/internal_test/p8d/goedel_workbook-000234-0000-04dbb28474733a7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "04dbb28474733a7a7a8e34be4124f30ddf308ab2b1218101de44ceb1cfa895bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000235.json b/manifests/batches/goedel_workbook/000235.json
index 9353f0f9dfaafc28c188b2e7f439ce82eddb2925..dfee5207aa4ccf668eb1803ecf3714879ebd375e 100644
--- a/manifests/batches/goedel_workbook/000235.json
+++ b/manifests/batches/goedel_workbook/000235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000235",
   "batch_fingerprint": "947bd7318e7988e14ebd3b00646923e0c2769f725bbeb952264d9b162e65158d",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000235-0000-d3d4e8adbf5eb3b0.parquet",
-      "sha256": "d3d4e8adbf5eb3b0f7e3cc0f6eeaf7376f3d6963820af6de5b3add817f7ddd9c",
-      "bytes": 187331,
-      "rows": 43,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000235-0000-a460a99ebf6f7d3f.parquet",
-      "sha256": "a460a99ebf6f7d3f776df79b670a85fd9f7cbc5c5cbf8318f0225fb834a5d25e",
-      "bytes": 40854,
-      "rows": 1,
-      "revision": "28d5b87adc1a053d7e9e355c2e09047eb88b3687"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34207",
     "goedel_workbook:lean_workbook_34208",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005895.lean\",\"a8712c526c77c1efe101dee056821a104aa00500e4c12ce1c49d32351e9bfc39\",0,\"lean_workbook_34293\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005896.lean\",\"2135357ff83798f62fcd43fdcc94db50b2830d87975ddb70632cb4251a96beed\",0,\"lean_workbook_34294\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005899.lean\",\"f8d2932c818b772709b9bab5c6916599fe3fa86f38fa978a825b4a2586572a80\",0,\"lean_workbook_34314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187331,
+      "path": "data/train/p87/goedel_workbook-000235-0000-d3d4e8adbf5eb3b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "d3d4e8adbf5eb3b0f7e3cc0f6eeaf7376f3d6963820af6de5b3add817f7ddd9c"
+    },
+    {
+      "bytes": 40854,
+      "path": "data/internal_test/p87/goedel_workbook-000235-0000-a460a99ebf6f7d3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a460a99ebf6f7d3f776df79b670a85fd9f7cbc5c5cbf8318f0225fb834a5d25e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000236.json b/manifests/batches/goedel_workbook/000236.json
index 5dc9a3e9dfdd1e6396a5a330b5520abdca9c8a7f..6db5f5765576f455ad45df540b21de71836ae838 100644
--- a/manifests/batches/goedel_workbook/000236.json
+++ b/manifests/batches/goedel_workbook/000236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000236",
   "batch_fingerprint": "c9073c9e9f21b1e10724eed602d7d8d7ee2778ab0f80265bf68978fac133b3bc",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000236-0000-fe8a53b7e7fc44ad.parquet",
-      "sha256": "fe8a53b7e7fc44ad18016c95c193665decc7711222a0751eae5614ed9b6b6dae",
-      "bytes": 187232,
-      "rows": 45,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000236-0000-9732c917509eeab1.parquet",
-      "sha256": "9732c917509eeab12cc02160485e07e65e7b1fdf770aec6429375ec6bc270bca",
-      "bytes": 36125,
-      "rows": 3,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000236-0000-59d013b7d911d486.parquet",
-      "sha256": "59d013b7d911d486c220cdfe9eb3f38eabdec208ba786f65a9316b24e2e6e37d",
-      "bytes": 38815,
-      "rows": 2,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34322",
     "goedel_workbook:lean_workbook_34329",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005922.lean\",\"f68b081e67b35b48dd78f781a9dc171bca605a31f5df4ee613c65c56bf8904ba\",0,\"lean_workbook_34404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005923.lean\",\"bb36e35026e5a7a66133747869ef48b3a12649642fb4357315c26d4826d05d7b\",0,\"lean_workbook_34405\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005924.lean\",\"707b46cc69f2e2a45afbc8ee95ccd4b23e9c2f9e46fb72b7e59afcf4417d45d9\",0,\"lean_workbook_3441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187232,
+      "path": "data/train/pd9/goedel_workbook-000236-0000-fe8a53b7e7fc44ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "fe8a53b7e7fc44ad18016c95c193665decc7711222a0751eae5614ed9b6b6dae"
+    },
+    {
+      "bytes": 36125,
+      "path": "data/dev/pd9/goedel_workbook-000236-0000-9732c917509eeab1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9732c917509eeab12cc02160485e07e65e7b1fdf770aec6429375ec6bc270bca"
+    },
+    {
+      "bytes": 38815,
+      "path": "data/internal_test/pd9/goedel_workbook-000236-0000-59d013b7d911d486.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "59d013b7d911d486c220cdfe9eb3f38eabdec208ba786f65a9316b24e2e6e37d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000237.json b/manifests/batches/goedel_workbook/000237.json
index 03f3e9ac259f102cb612dd7f565edee70a7b5e89..8581b71a9a65a7c079bc159830c544c070e6e859 100644
--- a/manifests/batches/goedel_workbook/000237.json
+++ b/manifests/batches/goedel_workbook/000237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000237",
   "batch_fingerprint": "cd0fc2fa86e7f55b4bb6c12f14707ca1b437f4642dc6ca4f6f5c37d7fac4dc58",
   "evidence": {
@@ -334,29 +333,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000237-0000-0385e37ffe55d933.parquet",
-      "sha256": "0385e37ffe55d933a4af0c478d746d9ee3407ba1aea5b472835006c01169de56",
-      "bytes": 49098,
-      "rows": 5,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000237-0000-d3fefac5824b9dc0.parquet",
-      "sha256": "d3fefac5824b9dc02f727888c44d09e6e22882df6280ef369dfc9d83e44a951e",
-      "bytes": 37886,
-      "rows": 8,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000237-0000-9050221f1f94087f.parquet",
-      "sha256": "9050221f1f94087ffcfd747dfb3ddb7f631711bbca6bdc6ccdecf7dd934e2657",
-      "bytes": 38849,
-      "rows": 3,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34421",
     "goedel_workbook:lean_workbook_34436",
@@ -376,5 +353,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005933.lean\",\"4bdd2779b89a94614cb0fcd7ddbba101ea451528cc2d5c930b5abd589c143872\",0,\"lean_workbook_34463\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005945.lean\",\"77689de3461e9da116d9a0cbe4e26cdce0470eb0fe0dda2354b16d64fa698383\",0,\"lean_workbook_34511\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005946.lean\",\"de6e04efe3dad12b8b1e0351c0aeb10b620365631d95ff9a622d7546ded33099\",0,\"lean_workbook_34519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49098,
+      "path": "data/train/pe0/goedel_workbook-000237-0000-0385e37ffe55d933.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0385e37ffe55d933a4af0c478d746d9ee3407ba1aea5b472835006c01169de56"
+    },
+    {
+      "bytes": 37886,
+      "path": "data/dev/pe0/goedel_workbook-000237-0000-d3fefac5824b9dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d3fefac5824b9dc02f727888c44d09e6e22882df6280ef369dfc9d83e44a951e"
+    },
+    {
+      "bytes": 38849,
+      "path": "data/internal_test/pe0/goedel_workbook-000237-0000-9050221f1f94087f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9050221f1f94087ffcfd747dfb3ddb7f631711bbca6bdc6ccdecf7dd934e2657"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000238.json b/manifests/batches/goedel_workbook/000238.json
index e46f20447751129562c3a41177800d1259bd48bb..f123ebecee26a1135d0c04d76d2830a7c28c28dd 100644
--- a/manifests/batches/goedel_workbook/000238.json
+++ b/manifests/batches/goedel_workbook/000238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000238",
   "batch_fingerprint": "ddd77db5a078e5d9267c1841272a67bc0d65ec474fa7add98b7288e5c5a5b4f5",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000238-0000-6860879acc058225.parquet",
-      "sha256": "6860879acc058225b938a00a69a01d06d2ccb692cd013376765b7865559ef3dc",
-      "bytes": 109426,
-      "rows": 28,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000238-0000-0c6797e6b88cccfb.parquet",
-      "sha256": "0c6797e6b88cccfbed2b161b614984ef801e18890011f74c84ba8903c76a954f",
-      "bytes": 39377,
-      "rows": 2,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34538",
     "goedel_workbook:lean_workbook_34541",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005970.lean\",\"bdc0bbd1d0cad8787015ac3736f874aa9bcdb476ea961af59b5be7b5f5730a5f\",0,\"lean_workbook_3462\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005974.lean\",\"76bfeeca3eb6088dfee12f71fd4740e652da33e4ff093b34ec378dfc3154b2b1\",0,\"lean_workbook_34626\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109426,
+      "path": "data/train/p3c/goedel_workbook-000238-0000-6860879acc058225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "6860879acc058225b938a00a69a01d06d2ccb692cd013376765b7865559ef3dc"
+    },
+    {
+      "bytes": 39377,
+      "path": "data/dev/p3c/goedel_workbook-000238-0000-0c6797e6b88cccfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0c6797e6b88cccfbed2b161b614984ef801e18890011f74c84ba8903c76a954f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000239.json b/manifests/batches/goedel_workbook/000239.json
index 4b807f24f6223ab220fbdc2b75376e98e85de2e4..39a7f311bcf89750776703ebf17c12dc2b9fbe1a 100644
--- a/manifests/batches/goedel_workbook/000239.json
+++ b/manifests/batches/goedel_workbook/000239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000239",
   "batch_fingerprint": "0e1f62d8a450aebe8844f23639bdeb8cfd0a9325969fcc687db7055512bd03ea",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000239-0000-36eb9e0c38ee214c.parquet",
-      "sha256": "36eb9e0c38ee214c905b95f207774756565ad7f189f78404b4c1c75683a34de5",
-      "bytes": 96367,
-      "rows": 25,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000239-0000-092efa1ffe452e38.parquet",
-      "sha256": "092efa1ffe452e3891fb9bf29271a3c3ac526d7ac3f8c66953f524ce7d1a8db0",
-      "bytes": 52632,
-      "rows": 11,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34637",
     "goedel_workbook:lean_workbook_34647",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005997.lean\",\"1692a4ca1f07587502b4eabf7dd9f820ac6e72ceecca3f8d462bcda98011cf46\",0,\"lean_workbook_34697\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005998.lean\",\"5e58c4e4fadce62a5f042917b575dfe3ac3a01c9e3ddd7bb0d30e1f3ad8f2727\",0,\"lean_workbook_34702\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_005999.lean\",\"a971ccec9eebac37e1f5b246145fbe3790b8bf866da4c30e958a9535932d0227\",0,\"lean_workbook_34706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96367,
+      "path": "data/train/p10/goedel_workbook-000239-0000-36eb9e0c38ee214c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "36eb9e0c38ee214c905b95f207774756565ad7f189f78404b4c1c75683a34de5"
+    },
+    {
+      "bytes": 52632,
+      "path": "data/internal_test/p10/goedel_workbook-000239-0000-092efa1ffe452e38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "092efa1ffe452e3891fb9bf29271a3c3ac526d7ac3f8c66953f524ce7d1a8db0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000240.json b/manifests/batches/goedel_workbook/000240.json
index 27b8066ad19b8d25bbb1ac8718fa4c545a03d8c4..150e638cf1b3d51753b3fd065360b2f2d0c8ef2e 100644
--- a/manifests/batches/goedel_workbook/000240.json
+++ b/manifests/batches/goedel_workbook/000240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000240",
   "batch_fingerprint": "720f2e37a828f6cb814463598f3f093121a97cef01b028b6c398d0a94d0e104b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000240-0000-c5c34fe99383a4fc.parquet",
-      "sha256": "c5c34fe99383a4fc5b6ad45646ce9d2a00359355747d25a149f0cb13c8e375f9",
-      "bytes": 147365,
-      "rows": 34,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000240-0000-47edf4a2562cb68f.parquet",
-      "sha256": "47edf4a2562cb68f836efee200e6e04ed8eb2a973ecf406c9389af1bb5f58540",
-      "bytes": 61166,
-      "rows": 8,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34707",
     "goedel_workbook:lean_workbook_3472",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006020.lean\",\"d60f10cd3ef74ebf95398a9c47233fdb561ca1f28758601efda331f8f6602cf0\",0,\"lean_workbook_34798\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006021.lean\",\"a19dc0615cc555604785acd3b7b1a51c14ec2d3692dfc2db0d9fa0c348fc6b43\",0,\"lean_workbook_3480\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006022.lean\",\"971ac10a4714cf183b574d73d4b22263c532c454b89f3716a26b66bf36bed0cf\",0,\"lean_workbook_34802\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147365,
+      "path": "data/train/p22/goedel_workbook-000240-0000-c5c34fe99383a4fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "c5c34fe99383a4fc5b6ad45646ce9d2a00359355747d25a149f0cb13c8e375f9"
+    },
+    {
+      "bytes": 61166,
+      "path": "data/dev/p22/goedel_workbook-000240-0000-47edf4a2562cb68f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "47edf4a2562cb68f836efee200e6e04ed8eb2a973ecf406c9389af1bb5f58540"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000241.json b/manifests/batches/goedel_workbook/000241.json
index 19f8eb78f9d6511af57764a48d91e6b62506d427..794736bfd27d883d930213d81e22069b6bbc20bd 100644
--- a/manifests/batches/goedel_workbook/000241.json
+++ b/manifests/batches/goedel_workbook/000241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000241",
   "batch_fingerprint": "16c4e77638b879303f3b60f5d6a162fd07711b15353e265f824f41e9eb43ce7e",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000241-0000-36e504da1a6bb349.parquet",
-      "sha256": "36e504da1a6bb349cc245413c37840356344bd55703e19dca5887226bf80361a",
-      "bytes": 187586,
-      "rows": 51,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34819",
     "goedel_workbook:lean_workbook_34821",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006046.lean\",\"dfd38642668f96d23c76003169f184b26967a86addb0c76acd5d0b676315c9d2\",0,\"lean_workbook_34898\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006048.lean\",\"f5f7e08626869c87384839686b8b96f391c9611dd19eb4fc6c565d51469dca30\",0,\"lean_workbook_34914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006049.lean\",\"d1381e86f91f0283640cb3a8dc7942eca89776dde6b6deb98ebafede29fb2d17\",0,\"lean_workbook_34915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187586,
+      "path": "data/train/pe1/goedel_workbook-000241-0000-36e504da1a6bb349.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "36e504da1a6bb349cc245413c37840356344bd55703e19dca5887226bf80361a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000242.json b/manifests/batches/goedel_workbook/000242.json
index a385fcada726ac7a1741bf5c2fadb061f0825f03..3f0eadf089aa5f2903000064f240464aa44caabb 100644
--- a/manifests/batches/goedel_workbook/000242.json
+++ b/manifests/batches/goedel_workbook/000242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000242",
   "batch_fingerprint": "e0e80f6cd663fef28e7ffdbb09534891d6ca9c1076fb196b791e4cfe2bee2623",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000242-0000-9eb1b2703897a972.parquet",
-      "sha256": "9eb1b2703897a9724e157c056332d437db2301da9328ae65724664b89a83ae44",
-      "bytes": 223069,
-      "rows": 50,
-      "revision": "a1cc11f7cff32d152f2abbd5ea56cc7bf48d6b71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000242-0000-e4c4e3fba8d0afdb.parquet",
-      "sha256": "e4c4e3fba8d0afdb49acbe2a9bded5bb21d1775f98624c03e992632105290ae0",
-      "bytes": 31552,
-      "rows": 3,
-      "revision": "a1cc11f7cff32d152f2abbd5ea56cc7bf48d6b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_34922",
     "goedel_workbook:lean_workbook_34923",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006070.lean\",\"5d61783b956e21de1f0ae70058be3dfdb8c0cfb601d1fc585de92f50417abbe8\",0,\"lean_workbook_3499\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006072.lean\",\"d18ef18b6a581aacbe8dbbcb9065723406f3aefdec5b0093e63f8ad0df559d53\",0,\"lean_workbook_34998\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006073.lean\",\"dc64028aef4ceb643a49e8e3279dc76e818fa5ba7e919d1b001c7bbb6616c3ca\",0,\"lean_workbook_350\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223069,
+      "path": "data/train/p13/goedel_workbook-000242-0000-9eb1b2703897a972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "9eb1b2703897a9724e157c056332d437db2301da9328ae65724664b89a83ae44"
+    },
+    {
+      "bytes": 31552,
+      "path": "data/internal_test/p13/goedel_workbook-000242-0000-e4c4e3fba8d0afdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e4c4e3fba8d0afdb49acbe2a9bded5bb21d1775f98624c03e992632105290ae0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000243.json b/manifests/batches/goedel_workbook/000243.json
index b39322b70a7e150e1c563ae5077a88580a81c834..a10e6f8256efda112030852766cef8ce4730db8a 100644
--- a/manifests/batches/goedel_workbook/000243.json
+++ b/manifests/batches/goedel_workbook/000243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000243",
   "batch_fingerprint": "15a54bf5cdc623f20535a1a2a192cdd8f1fa5eac01784eeb1f5dcf721cdf145e",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000243-0000-0e1214cc0f30cb62.parquet",
-      "sha256": "0e1214cc0f30cb6235c746ff748be46961b421aebda51aa4052f43978cf693d4",
-      "bytes": 147714,
-      "rows": 37,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35015",
     "goedel_workbook:lean_workbook_35019",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006097.lean\",\"0b8774a3120c94a864b4aae2e99aed2416dc5f9b786eae14d8dc86f2462b620a\",0,\"lean_workbook_35110\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006098.lean\",\"32d437f0397be418ddb26f7930a9a9b66bc437b00be82d252f7ec1776f4a0c73\",0,\"lean_workbook_35116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006099.lean\",\"2d421a8be966e60e9b4a0fdba9d6f694e25e80289133acc8d0a1872e6a768f16\",0,\"lean_workbook_35117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147714,
+      "path": "data/train/pa3/goedel_workbook-000243-0000-0e1214cc0f30cb62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "0e1214cc0f30cb6235c746ff748be46961b421aebda51aa4052f43978cf693d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000244.json b/manifests/batches/goedel_workbook/000244.json
index 3b23d29dd33f2274df251421ea225110eae9582a..457c452f279e86023513939a4fdd751d5300e780 100644
--- a/manifests/batches/goedel_workbook/000244.json
+++ b/manifests/batches/goedel_workbook/000244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000244",
   "batch_fingerprint": "35f03d99f35c775d10d3eef369fd235f043312dc3491d4ec8955d3417d2db8b1",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000244-0000-4ef33c7ec2ba5d4a.parquet",
-      "sha256": "4ef33c7ec2ba5d4a4b15c6b407b2af3d903157e3b98a3986fe6ce969ae47c2ec",
-      "bytes": 129605,
-      "rows": 33,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000244-0000-247d863dbe15b0dc.parquet",
-      "sha256": "247d863dbe15b0dc7d6be4cd51a7639925ff44cc70031e6dc6989df09e0a6dcd",
-      "bytes": 31734,
-      "rows": 2,
-      "revision": "27d12d41575b5baca171b3e84ebdfc087a00f35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35118",
     "goedel_workbook:lean_workbook_35162",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006122.lean\",\"c893b88a1596606723ff78e2d4bb276e6a2821c76398e793f6032f6dad7a69ed\",0,\"lean_workbook_35196\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006123.lean\",\"21cf3a1870157e277da37817415ec5cc80cfbc0e2e2e511a889ed51a2ad50d06\",0,\"lean_workbook_35224\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006124.lean\",\"b470e3d43e87f4c30b4818a3bdb21a3151bf908dd0ed3b03da7ce2dfb9fd8bef\",0,\"lean_workbook_35228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129605,
+      "path": "data/train/pff/goedel_workbook-000244-0000-4ef33c7ec2ba5d4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4ef33c7ec2ba5d4a4b15c6b407b2af3d903157e3b98a3986fe6ce969ae47c2ec"
+    },
+    {
+      "bytes": 31734,
+      "path": "data/internal_test/pff/goedel_workbook-000244-0000-247d863dbe15b0dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "247d863dbe15b0dc7d6be4cd51a7639925ff44cc70031e6dc6989df09e0a6dcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000245.json b/manifests/batches/goedel_workbook/000245.json
index 0c84223936265f2ca20c2be13391079b5aca422e..2148802b6fcde61a4112b482924b281d8f540479 100644
--- a/manifests/batches/goedel_workbook/000245.json
+++ b/manifests/batches/goedel_workbook/000245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000245",
   "batch_fingerprint": "91e9670857d0a686c6fd6b9606e7d0e00a04210bc55b4b1fe216901d5c13c6ac",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000245-0000-e73d663acd8afac3.parquet",
-      "sha256": "e73d663acd8afac320fb1c72a38a67dbacb7e04fa19d530f8518291a380d0cb2",
-      "bytes": 126407,
-      "rows": 32,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000245-0000-e03e1273631aa372.parquet",
-      "sha256": "e03e1273631aa3721f1449c7f024ec6b4390bb00e697c7848aebd3a7b4f13017",
-      "bytes": 35607,
-      "rows": 2,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35229",
     "goedel_workbook:lean_workbook_35234",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006145.lean\",\"ca98ccfbf18f95a853ea5ae4e84255fa1b69cd1a311427887a19444ad47030d8\",0,\"lean_workbook_35304\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006148.lean\",\"37b4ffbfcd42e620227f8d08066b580f4c19438c42e1f6f0ee5fbf6224f8aef8\",0,\"lean_workbook_35322\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006149.lean\",\"35985692cd56e7986f74df86d0fcbc29550c0c31685d142dbba330cf4b879cb2\",0,\"lean_workbook_35323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126407,
+      "path": "data/train/pd2/goedel_workbook-000245-0000-e73d663acd8afac3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "e73d663acd8afac320fb1c72a38a67dbacb7e04fa19d530f8518291a380d0cb2"
+    },
+    {
+      "bytes": 35607,
+      "path": "data/internal_test/pd2/goedel_workbook-000245-0000-e03e1273631aa372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e03e1273631aa3721f1449c7f024ec6b4390bb00e697c7848aebd3a7b4f13017"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000246.json b/manifests/batches/goedel_workbook/000246.json
index bf528e8eea34f9e71172bf910bafe22de708711f..72ebc3e2ed337294fe6cde8ee4f1a0322ffdc435 100644
--- a/manifests/batches/goedel_workbook/000246.json
+++ b/manifests/batches/goedel_workbook/000246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000246",
   "batch_fingerprint": "486e3d60fc448a49f085c748177e6b549fff573f6fb4a3b40e69e2107c38ee15",
   "evidence": {
@@ -162,29 +161,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000246-0000-0e17134c34cd9ac6.parquet",
-      "sha256": "0e17134c34cd9ac6cc3ed8862c30feeff8501d997c7efc150d362f46303e6cc2",
-      "bytes": 232245,
-      "rows": 56,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000246-0000-987be89cde1b2627.parquet",
-      "sha256": "987be89cde1b26273acfc3d1908790b1924a632214c555badd59489b394fb150",
-      "bytes": 29312,
-      "rows": 3,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000246-0000-b8ba3bf54907dfd0.parquet",
-      "sha256": "b8ba3bf54907dfd09d113913524b6b7e2fda9741ad1a3829083d286083a83e3d",
-      "bytes": 46206,
-      "rows": 4,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35325",
     "goedel_workbook:lean_workbook_35332",
@@ -224,5 +201,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006171.lean\",\"e5d9626a324df06dfbf6b9790434add20100b7177f3ec909d9456e89cba220b2\",0,\"lean_workbook_354\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006173.lean\",\"b183fea8c7f7ea82ba97d89d17e97bbde0d8fcb30a05998d8071029cb59dc42a\",0,\"lean_workbook_35400\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006174.lean\",\"d99c988ec6f4e623d2d8004a0f93496fb7febbf3d093be00a4909d23f1b94eb0\",0,\"lean_workbook_35402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232245,
+      "path": "data/train/p57/goedel_workbook-000246-0000-0e17134c34cd9ac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "0e17134c34cd9ac6cc3ed8862c30feeff8501d997c7efc150d362f46303e6cc2"
+    },
+    {
+      "bytes": 29312,
+      "path": "data/dev/p57/goedel_workbook-000246-0000-987be89cde1b2627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "987be89cde1b26273acfc3d1908790b1924a632214c555badd59489b394fb150"
+    },
+    {
+      "bytes": 46206,
+      "path": "data/internal_test/p57/goedel_workbook-000246-0000-b8ba3bf54907dfd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b8ba3bf54907dfd09d113913524b6b7e2fda9741ad1a3829083d286083a83e3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000247.json b/manifests/batches/goedel_workbook/000247.json
index c219f935dc31c70360dea292b07bd85c4faab2c7..4ab4152108ca39f09f4a80109f538211536f5274 100644
--- a/manifests/batches/goedel_workbook/000247.json
+++ b/manifests/batches/goedel_workbook/000247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000247",
   "batch_fingerprint": "c4f3c26f80919b0f17507b8256fcdaff811ee6b447cbd38ec46447de31b414dd",
   "evidence": {
@@ -146,22 +145,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000247-0000-37da5a6505235af8.parquet",
-      "sha256": "37da5a6505235af8b8b1397f33aa1f2a05593775a19c77725f31f0552cc670c9",
-      "bytes": 165974,
-      "rows": 42,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000247-0000-822ac19d7680e0ed.parquet",
-      "sha256": "822ac19d7680e0ed23e45fb02822034bca2936396311b0117ab0f4025782ca07",
-      "bytes": 35262,
-      "rows": 1,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35404",
     "goedel_workbook:lean_workbook_35406",
@@ -201,5 +185,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006196.lean\",\"4f755910ea02a011f0762244b35615c465ebfb5db47e0ffb287788fd4c2e6991\",0,\"lean_workbook_35463\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006197.lean\",\"dcc35a7b938678fb36934e7b243dbbc2bbd8f640b17f47df4d84b6135bf1b288\",0,\"lean_workbook_35465\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006199.lean\",\"fd72e33e3952f789ee0da87a34d90d0c4ea326482e5a025244b3d40eb32ab9b8\",0,\"lean_workbook_35467\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165974,
+      "path": "data/train/ped/goedel_workbook-000247-0000-37da5a6505235af8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "37da5a6505235af8b8b1397f33aa1f2a05593775a19c77725f31f0552cc670c9"
+    },
+    {
+      "bytes": 35262,
+      "path": "data/dev/ped/goedel_workbook-000247-0000-822ac19d7680e0ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "822ac19d7680e0ed23e45fb02822034bca2936396311b0117ab0f4025782ca07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000248.json b/manifests/batches/goedel_workbook/000248.json
index 971ff4d7eff87039200763e314d55bf59303d1ac..dfae1c9946e982ccff3652b1cda2c76154369dc9 100644
--- a/manifests/batches/goedel_workbook/000248.json
+++ b/manifests/batches/goedel_workbook/000248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000248",
   "batch_fingerprint": "6432e39f1fad054d707498cccb654b75dd7d8ffc1acdee65a87d763c37be6795",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000248-0000-48902b26c7839229.parquet",
-      "sha256": "48902b26c78392295badf4c4b501a96a20e1fb7d7f00df17dd1ebc529544a21c",
-      "bytes": 240331,
-      "rows": 52,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000248-0000-11d131ebe2ffa4af.parquet",
-      "sha256": "11d131ebe2ffa4af47b899d8893ec2549dd20ee96ddb5dc4a08435346fceebb9",
-      "bytes": 52043,
-      "rows": 9,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35473",
     "goedel_workbook:lean_workbook_35483",
@@ -184,5 +168,21 @@
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006222.lean\",\"fe835db338fbfc6d3835ebe66a61a0455d413c2f5b44e079f4f3ac4a0f1dd2e1\",0,\"lean_workbook_35578\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006223.lean\",\"444f65e8972e227153682b8b3d09110c3e51136e60c78e003b36352792527603\",0,\"lean_workbook_3558\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240331,
+      "path": "data/train/peb/goedel_workbook-000248-0000-48902b26c7839229.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "48902b26c78392295badf4c4b501a96a20e1fb7d7f00df17dd1ebc529544a21c"
+    },
+    {
+      "bytes": 52043,
+      "path": "data/internal_test/peb/goedel_workbook-000248-0000-11d131ebe2ffa4af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "11d131ebe2ffa4af47b899d8893ec2549dd20ee96ddb5dc4a08435346fceebb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000249.json b/manifests/batches/goedel_workbook/000249.json
index 27c584fd4c8102ce9bc6dcc347f6c53ae40ff432..ba75a774d30f5f523aa275e778d6f70419fcd4df 100644
--- a/manifests/batches/goedel_workbook/000249.json
+++ b/manifests/batches/goedel_workbook/000249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000249",
   "batch_fingerprint": "3a2ba1342ceba7432f926b231952f5e4547cc8498900cde7b46d6d16e68a283a",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000249-0000-a89d9692cf1a2c77.parquet",
-      "sha256": "a89d9692cf1a2c7777d5fc2037aa6294129f577cdf22ea36f33e3fad157daf9a",
-      "bytes": 205066,
-      "rows": 37,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000249-0000-5ad54cb035381c74.parquet",
-      "sha256": "5ad54cb035381c7441b96882fc66d7d213217c84012ea548bdd0e4bb7cfa9ef0",
-      "bytes": 37322,
-      "rows": 1,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000249-0000-ab9e8239ea1e262e.parquet",
-      "sha256": "ab9e8239ea1e262eca037f2e64fbcd71220ce0ce3c1b0ebc04eebe9a8158ba31",
-      "bytes": 46022,
-      "rows": 2,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35586",
     "goedel_workbook:lean_workbook_35596",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006246.lean\",\"0ade4384c3ccf76cfd919dbc5df50dc0a632558674a365f3555d977572c9a8f6\",0,\"lean_workbook_35644\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006248.lean\",\"b1e60ed504ea57fc3d1383df6ba6f028565164201f31cd622e1bbafd76ccb0e2\",0,\"lean_workbook_35651\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006249.lean\",\"007e788156da77bda89107e908eccb4a89c282e11a5d4ed7d15287ad9044b5d2\",0,\"lean_workbook_35652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205066,
+      "path": "data/train/p94/goedel_workbook-000249-0000-a89d9692cf1a2c77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "a89d9692cf1a2c7777d5fc2037aa6294129f577cdf22ea36f33e3fad157daf9a"
+    },
+    {
+      "bytes": 37322,
+      "path": "data/dev/p94/goedel_workbook-000249-0000-5ad54cb035381c74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5ad54cb035381c7441b96882fc66d7d213217c84012ea548bdd0e4bb7cfa9ef0"
+    },
+    {
+      "bytes": 46022,
+      "path": "data/internal_test/p94/goedel_workbook-000249-0000-ab9e8239ea1e262e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ab9e8239ea1e262eca037f2e64fbcd71220ce0ce3c1b0ebc04eebe9a8158ba31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000250.json b/manifests/batches/goedel_workbook/000250.json
index 044f135b43966f47a58bcb8436995fe0256f4924..53be25688031c3666bd2567aa85130e47c014bab 100644
--- a/manifests/batches/goedel_workbook/000250.json
+++ b/manifests/batches/goedel_workbook/000250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000250",
   "batch_fingerprint": "51afd8b412cff34e3d78220a38934898cfc352634a4b9ebff629e8d33b6082f3",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000250-0000-b434f8b1bcbc7353.parquet",
-      "sha256": "b434f8b1bcbc7353123db5a840ba365f46b8451977f3921feff34d5140883ebc",
-      "bytes": 235862,
-      "rows": 51,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000250-0000-e7360c72c08f1118.parquet",
-      "sha256": "e7360c72c08f1118c0bf52377f796b7192e750f8670425b493ef7881baa26a31",
-      "bytes": 45971,
-      "rows": 3,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35654",
     "goedel_workbook:lean_workbook_35658",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006272.lean\",\"62fdcca86fb37a3239d50210fa77d84c3a4210b7e8db011402c09cb9fe26658e\",0,\"lean_workbook_35727\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006274.lean\",\"05f8da053c13c31b6a2ab7d96649d130f5b1cd8e2b5b318f8ce168aafbb33feb\",0,\"lean_workbook_35743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235862,
+      "path": "data/train/pc9/goedel_workbook-000250-0000-b434f8b1bcbc7353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "b434f8b1bcbc7353123db5a840ba365f46b8451977f3921feff34d5140883ebc"
+    },
+    {
+      "bytes": 45971,
+      "path": "data/dev/pc9/goedel_workbook-000250-0000-e7360c72c08f1118.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e7360c72c08f1118c0bf52377f796b7192e750f8670425b493ef7881baa26a31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000251.json b/manifests/batches/goedel_workbook/000251.json
index 2a7b11fe584146373cbbb4f736cf989054a0ef4c..455914a5f1d13fc58e746556752f1325679be2d3 100644
--- a/manifests/batches/goedel_workbook/000251.json
+++ b/manifests/batches/goedel_workbook/000251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000251",
   "batch_fingerprint": "0ee23b411941cdb57b84ad87586d4f9e9bc068f94880db1b65d9088cf6bfa0bf",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000251-0000-004dd680bf676078.parquet",
-      "sha256": "004dd680bf676078a382029d2fb5af3f86a99ff8bd51d679daa6794e33ccc85d",
-      "bytes": 126164,
-      "rows": 39,
-      "revision": "2ad765e4ec4b445c034f37ebb8a677f3f96b10a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000251-0000-dfe72a349a5b7801.parquet",
-      "sha256": "dfe72a349a5b78012e73c9bac17262f53fbeef280fc56baaddbefa00d4bcbbc9",
-      "bytes": 66949,
-      "rows": 6,
-      "revision": "2ad765e4ec4b445c034f37ebb8a677f3f96b10a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35745",
     "goedel_workbook:lean_workbook_35751",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006294.lean\",\"3c883a53a73b91d64f19d76311dd1dc36a821ad38d9a29490171d26a492e78f4\",0,\"lean_workbook_35797\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006298.lean\",\"4d3c8ce24e7b057aafa03032dc8bbd07efc35d65353e3f95e4c3e486c051b3b8\",0,\"lean_workbook_3581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126164,
+      "path": "data/train/p14/goedel_workbook-000251-0000-004dd680bf676078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "004dd680bf676078a382029d2fb5af3f86a99ff8bd51d679daa6794e33ccc85d"
+    },
+    {
+      "bytes": 66949,
+      "path": "data/internal_test/p14/goedel_workbook-000251-0000-dfe72a349a5b7801.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dfe72a349a5b78012e73c9bac17262f53fbeef280fc56baaddbefa00d4bcbbc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000252.json b/manifests/batches/goedel_workbook/000252.json
index f77de38537b1a4f5bc72693ed873e1e58da93f9d..f71793dc0440601ceff0b38f608a24b0003aec48 100644
--- a/manifests/batches/goedel_workbook/000252.json
+++ b/manifests/batches/goedel_workbook/000252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000252",
   "batch_fingerprint": "c5d4445c2a0731ac1de7b4ad7f63f3548c9d6e26c148edf330344e1e3a1ce834",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000252-0000-0cb5f40262546430.parquet",
-      "sha256": "0cb5f4026254643006de8b1d3f353ce24d006a6f008e86f2fba23733a9ee1282",
-      "bytes": 218162,
-      "rows": 39,
-      "revision": "2ad765e4ec4b445c034f37ebb8a677f3f96b10a9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000252-0000-4d5ea248bccc2913.parquet",
-      "sha256": "4d5ea248bccc2913c91152bab713caa0ae9d46b8ddcb3cef49f5e89da2733cd0",
-      "bytes": 48197,
-      "rows": 7,
-      "revision": "2ad765e4ec4b445c034f37ebb8a677f3f96b10a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35818",
     "goedel_workbook:lean_workbook_35824",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006321.lean\",\"32761edd5ad83608f20fe033a3df9b5e87fc194f7c2f17b4705765dac400808e\",0,\"lean_workbook_35873\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006322.lean\",\"454cb9ba6436b571ec17d3b450784f9d2bb1fc8510f89b210bee641d57b38dca\",0,\"lean_workbook_35876\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006323.lean\",\"438151a0076dbc292da2d3b8b5802fe794873af3bed0bcd48424d16d85640c1c\",0,\"lean_workbook_35879\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218162,
+      "path": "data/train/p6f/goedel_workbook-000252-0000-0cb5f40262546430.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "0cb5f4026254643006de8b1d3f353ce24d006a6f008e86f2fba23733a9ee1282"
+    },
+    {
+      "bytes": 48197,
+      "path": "data/internal_test/p6f/goedel_workbook-000252-0000-4d5ea248bccc2913.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4d5ea248bccc2913c91152bab713caa0ae9d46b8ddcb3cef49f5e89da2733cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000253.json b/manifests/batches/goedel_workbook/000253.json
index fe79572fab4b131ddeaab405f2020a2db1e6bf6e..55dd1cdc7baeb0ed0c40b918c87877042d67c8a1 100644
--- a/manifests/batches/goedel_workbook/000253.json
+++ b/manifests/batches/goedel_workbook/000253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000253",
   "batch_fingerprint": "b92a428052f87123abe91de2eafaf152845f2f5d39f42839b5a6857225f6cb96",
   "evidence": {
@@ -245,36 +244,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000253-0000-c790bbd004d6198f.parquet",
-      "sha256": "c790bbd004d6198f946fc31dc4b382dd9b95eae54edac664dc8d620a49efa55f",
-      "bytes": 376294,
-      "rows": 23,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/train/goedel_workbook-000253-0001-c5869a64ab52b5e7.parquet",
-      "sha256": "c5869a64ab52b5e7fe8468b395b6d6630a2f9cbbbeab270e8dd021f5a2b211bc",
-      "bytes": 90608,
-      "rows": 17,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000253-0000-c8649dc4b383c39b.parquet",
-      "sha256": "c8649dc4b383c39b5249b5ef6abc90e930bd91bf83f3233a9801b7054ba14b05",
-      "bytes": 27229,
-      "rows": 1,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000253-0000-37c523ebba9cbabd.parquet",
-      "sha256": "37c523ebba9cbabdf3bfa8ed6778c44b7c6bc4fe3a02817f8307f916c952966d",
-      "bytes": 38126,
-      "rows": 1,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35889",
     "goedel_workbook:lean_workbook_359",
@@ -304,5 +274,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006343.lean\",\"e0528b9b2f8345988c3c2dbcf2f1fa25bc30bbeb8b5db188fe54e78cb41033e7\",0,\"lean_workbook_35958\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 376294,
+      "path": "data/train/p45/goedel_workbook-000253-0000-c790bbd004d6198f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c790bbd004d6198f946fc31dc4b382dd9b95eae54edac664dc8d620a49efa55f"
+    },
+    {
+      "bytes": 90608,
+      "path": "data/train/p45/goedel_workbook-000253-0001-c5869a64ab52b5e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c5869a64ab52b5e7fe8468b395b6d6630a2f9cbbbeab270e8dd021f5a2b211bc"
+    },
+    {
+      "bytes": 27229,
+      "path": "data/dev/p45/goedel_workbook-000253-0000-c8649dc4b383c39b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c8649dc4b383c39b5249b5ef6abc90e930bd91bf83f3233a9801b7054ba14b05"
+    },
+    {
+      "bytes": 38126,
+      "path": "data/internal_test/p45/goedel_workbook-000253-0000-37c523ebba9cbabd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "37c523ebba9cbabdf3bfa8ed6778c44b7c6bc4fe3a02817f8307f916c952966d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000254.json b/manifests/batches/goedel_workbook/000254.json
index 8d404dcd43926abb3565789f3c162cd0025964e2..733900b8a5ee1b98e4c30c787016b095d0831ec5 100644
--- a/manifests/batches/goedel_workbook/000254.json
+++ b/manifests/batches/goedel_workbook/000254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000254",
   "batch_fingerprint": "75711be86274d6f64d8abec7d535bc80a9e2af1fe652d7a45245423b26c16329",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000254-0000-a913f9b641093333.parquet",
-      "sha256": "a913f9b64109333393e4578cedccbd273ea232aeb11e8db06a752f685fde1ac8",
-      "bytes": 118465,
-      "rows": 32,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000254-0000-cc4f711f407d3375.parquet",
-      "sha256": "cc4f711f407d3375e0d24a17792d159dfaca750e3c69a24d8f8f1ae5488170e1",
-      "bytes": 41966,
-      "rows": 3,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000254-0000-3820d374fa9406e1.parquet",
-      "sha256": "3820d374fa9406e1aa8151e109c32ed944293159c51cf2c122d135c115275d2c",
-      "bytes": 33803,
-      "rows": 1,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_35986",
     "goedel_workbook:lean_workbook_35989",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006368.lean\",\"be970c4be95b2f9664182587c3bdfd29cb8abd259e3401e67c3160afe1ea9d0b\",0,\"lean_workbook_36041\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006371.lean\",\"882b8d428773885b4061a4faf05b3e3286f750ade3e1b0faadcc447f49f548aa\",0,\"lean_workbook_36056\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006373.lean\",\"2058d8fdbc0875b2dc53a63519280b02422e3d4557df806f18b95d6e3cd81413\",0,\"lean_workbook_36066\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118465,
+      "path": "data/train/pe6/goedel_workbook-000254-0000-a913f9b641093333.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a913f9b64109333393e4578cedccbd273ea232aeb11e8db06a752f685fde1ac8"
+    },
+    {
+      "bytes": 41966,
+      "path": "data/dev/pe6/goedel_workbook-000254-0000-cc4f711f407d3375.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cc4f711f407d3375e0d24a17792d159dfaca750e3c69a24d8f8f1ae5488170e1"
+    },
+    {
+      "bytes": 33803,
+      "path": "data/internal_test/pe6/goedel_workbook-000254-0000-3820d374fa9406e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3820d374fa9406e1aa8151e109c32ed944293159c51cf2c122d135c115275d2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000255.json b/manifests/batches/goedel_workbook/000255.json
index 131ad698aa998aff7878ff135c7d0225946f4778..c7f24891118022942e3648984481b57e163bbede 100644
--- a/manifests/batches/goedel_workbook/000255.json
+++ b/manifests/batches/goedel_workbook/000255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000255",
   "batch_fingerprint": "0ea19c99a194d1874758f1b6493b076598a17cdf0789f44a8733146199d821d9",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000255-0000-f655a9a2d94196b7.parquet",
-      "sha256": "f655a9a2d94196b738acd75d1b2be754be78cdbd4b5f8dd62ebfade8b5363530",
-      "bytes": 183587,
-      "rows": 36,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000255-0000-f6271b5d9aca865b.parquet",
-      "sha256": "f6271b5d9aca865b43b1327745dcb4e22a23662ea989872bcfab2dadf82b8c0e",
-      "bytes": 38082,
-      "rows": 2,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36077",
     "goedel_workbook:lean_workbook_36081",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006395.lean\",\"0a3263321c0ab6e6c65b1075ca00564c6eb2bdf7bb6758fd18b9c821c402e297\",0,\"lean_workbook_36154\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006397.lean\",\"772a6b408332f7a069d9de995b810243a1c3fc1e85b10a76140b2bbdbcb9e9e5\",0,\"lean_workbook_36158\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006398.lean\",\"bd13735cf8937b3f0254db267b4bebedd915bb9f53b6f381b591a515b4a4caba\",0,\"lean_workbook_3617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183587,
+      "path": "data/train/p7f/goedel_workbook-000255-0000-f655a9a2d94196b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f655a9a2d94196b738acd75d1b2be754be78cdbd4b5f8dd62ebfade8b5363530"
+    },
+    {
+      "bytes": 38082,
+      "path": "data/dev/p7f/goedel_workbook-000255-0000-f6271b5d9aca865b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f6271b5d9aca865b43b1327745dcb4e22a23662ea989872bcfab2dadf82b8c0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000256.json b/manifests/batches/goedel_workbook/000256.json
index e29a410b98b7c3c77b938efeff5496d66eba115e..60a45996827e81b0af9ffed7bc3d768718d44d64 100644
--- a/manifests/batches/goedel_workbook/000256.json
+++ b/manifests/batches/goedel_workbook/000256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000256",
   "batch_fingerprint": "4d846e0d621149abdc1baf654c05d8f626ee3586d86e0344dd50d03ed8b7f328",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000256-0000-86b5f85736fe8088.parquet",
-      "sha256": "86b5f85736fe80881f6eb351bb2528c09d5e8b21c0e169b29add2f75f9459c73",
-      "bytes": 173139,
-      "rows": 44,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000256-0000-8e5bcb9b7409ae56.parquet",
-      "sha256": "8e5bcb9b7409ae56b858436f0debc03b84f3e90be92d2daf6332374aad1cc887",
-      "bytes": 37589,
-      "rows": 3,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36186",
     "goedel_workbook:lean_workbook_36210",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006421.lean\",\"ec7cf8258a8d91eeecff6f43b411b687da282ecc85b3e70d211c8a758e4fd9ee\",0,\"lean_workbook_36285\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006422.lean\",\"79883f88e4d543ae58a15115de2fdc1037f362677746ec07baf39eaee15cbdab\",0,\"lean_workbook_36291\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006424.lean\",\"e4ab9da9ae95e3f3e01ae42568478d0d40f803da27a8d6df124fd3cf7b8753b4\",0,\"lean_workbook_36298\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173139,
+      "path": "data/train/p88/goedel_workbook-000256-0000-86b5f85736fe8088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "86b5f85736fe80881f6eb351bb2528c09d5e8b21c0e169b29add2f75f9459c73"
+    },
+    {
+      "bytes": 37589,
+      "path": "data/dev/p88/goedel_workbook-000256-0000-8e5bcb9b7409ae56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8e5bcb9b7409ae56b858436f0debc03b84f3e90be92d2daf6332374aad1cc887"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000257.json b/manifests/batches/goedel_workbook/000257.json
index 087e7ed05a26ec9a9da698b6878c56a55169d28f..bdf8cde4f7038e6a9fb141802f13b5fa06137707 100644
--- a/manifests/batches/goedel_workbook/000257.json
+++ b/manifests/batches/goedel_workbook/000257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000257",
   "batch_fingerprint": "b16bce80f5cf7018a5504f3012bde977fc5f0a303862f991e029370c21865c00",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000257-0000-19e9257febf408b9.parquet",
-      "sha256": "19e9257febf408b9e2fdfae184444252dfb1dfe5297f579ce2c723e10c208120",
-      "bytes": 151277,
-      "rows": 33,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000257-0000-c987ecfdea5a4751.parquet",
-      "sha256": "c987ecfdea5a4751fa208bd92f85be55ac300daf7dd421d19d4ebf3868babd09",
-      "bytes": 33291,
-      "rows": 1,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36300",
     "goedel_workbook:lean_workbook_36313",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006447.lean\",\"9f7f9c7b72a57863c03cd7c0604a219461626497e48eb00a67ada504d129a33f\",0,\"lean_workbook_36429\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006448.lean\",\"b4a4a57c416d0d9e5b7fa02e1d7a65a4ebc4ba75735e07c8999c9ab7af472f8f\",0,\"lean_workbook_36432\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006449.lean\",\"9258690e764a55447244919f4e2038691c4158ec20b99c729210f7cee4f09f9d\",0,\"lean_workbook_36436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151277,
+      "path": "data/train/p9e/goedel_workbook-000257-0000-19e9257febf408b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "19e9257febf408b9e2fdfae184444252dfb1dfe5297f579ce2c723e10c208120"
+    },
+    {
+      "bytes": 33291,
+      "path": "data/internal_test/p9e/goedel_workbook-000257-0000-c987ecfdea5a4751.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c987ecfdea5a4751fa208bd92f85be55ac300daf7dd421d19d4ebf3868babd09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000258.json b/manifests/batches/goedel_workbook/000258.json
index ad9b42c39e8b1dc1857dfc77aaf589f8473c1676..5352bf6e563b07b771cb9970d14dfafe9ed802bd 100644
--- a/manifests/batches/goedel_workbook/000258.json
+++ b/manifests/batches/goedel_workbook/000258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000258",
   "batch_fingerprint": "d330efe0a7696a73d631cef0019aca08be367073168551cfad118d0a179e1986",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000258-0000-7f52ba86ab35e4be.parquet",
-      "sha256": "7f52ba86ab35e4be29759540e96654bab7ff651febc38e385f956af826c1aa66",
-      "bytes": 138076,
-      "rows": 33,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000258-0000-d33f3b3768842f7c.parquet",
-      "sha256": "d33f3b3768842f7c8c08c7b8373a94cab6765505ae44ac9d2c866517c2b1b7c4",
-      "bytes": 34724,
-      "rows": 1,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36446",
     "goedel_workbook:lean_workbook_36448",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006471.lean\",\"5c491de633773cd5ec1ad5f8aaf9d23cda52402e48c0b25f267f0cb2283cb15e\",0,\"lean_workbook_3653\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006472.lean\",\"b03b8ed4f7d58a656e7258a5147ab1959fc541abfd39a059680bea154fcfd2d9\",0,\"lean_workbook_36534\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006473.lean\",\"ce1700fe3ca05fe4750f01aba73a821daf911b81b70b4800652607dabc01e270\",0,\"lean_workbook_36537\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138076,
+      "path": "data/train/p5a/goedel_workbook-000258-0000-7f52ba86ab35e4be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "7f52ba86ab35e4be29759540e96654bab7ff651febc38e385f956af826c1aa66"
+    },
+    {
+      "bytes": 34724,
+      "path": "data/internal_test/p5a/goedel_workbook-000258-0000-d33f3b3768842f7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d33f3b3768842f7c8c08c7b8373a94cab6765505ae44ac9d2c866517c2b1b7c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000259.json b/manifests/batches/goedel_workbook/000259.json
index 46bff643ac1dceeced2bd77f5e5bc3d15a6f830b..c029d7c414c4c245535be18c56383dbb5cc9824b 100644
--- a/manifests/batches/goedel_workbook/000259.json
+++ b/manifests/batches/goedel_workbook/000259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000259",
   "batch_fingerprint": "8aabbc67a577585564fe1ff59c9e9b6203ad49fe3a465f4ffef29186a961dae5",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000259-0000-18b7e9e128f93414.parquet",
-      "sha256": "18b7e9e128f93414e649368744ec84d1fe4a092df36caf90ce5629b149bc1bb5",
-      "bytes": 79484,
-      "rows": 20,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000259-0000-fcfe2592f6987e7b.parquet",
-      "sha256": "fcfe2592f6987e7ba9ccf0ff0fbd5e965e4a73be27105b45da31bd8ce7ce9c62",
-      "bytes": 30090,
-      "rows": 1,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000259-0000-dcbaa37ef4cb7148.parquet",
-      "sha256": "dcbaa37ef4cb71486f302171574697b482d6ed5d1525818f5cd03451e78e5721",
-      "bytes": 68315,
-      "rows": 5,
-      "revision": "47848186041fb4e5a42fa685526274598447bc6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36548",
     "goedel_workbook:lean_workbook_36549",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006493.lean\",\"8de24266208b9535eb8a605efc6ab1b19d0c9d1931f13851ae01f9ada39e910d\",0,\"lean_workbook_36641\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006496.lean\",\"931897ea92b2fc1d4cf057307fccd05f6fd583bb1710aeb23f58e1235ab263e4\",0,\"lean_workbook_36655\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006497.lean\",\"7e94959b827ae80736f45b69dd967129744321d34dd642275c0c54aabb7b7802\",0,\"lean_workbook_36656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79484,
+      "path": "data/train/p77/goedel_workbook-000259-0000-18b7e9e128f93414.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "18b7e9e128f93414e649368744ec84d1fe4a092df36caf90ce5629b149bc1bb5"
+    },
+    {
+      "bytes": 30090,
+      "path": "data/dev/p77/goedel_workbook-000259-0000-fcfe2592f6987e7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fcfe2592f6987e7ba9ccf0ff0fbd5e965e4a73be27105b45da31bd8ce7ce9c62"
+    },
+    {
+      "bytes": 68315,
+      "path": "data/internal_test/p77/goedel_workbook-000259-0000-dcbaa37ef4cb7148.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dcbaa37ef4cb71486f302171574697b482d6ed5d1525818f5cd03451e78e5721"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000260.json b/manifests/batches/goedel_workbook/000260.json
index 58977c4ac4a6bc7078cad8129a620909cabbd1b4..0fdd41ec8eb65082ed94bec22c85b50b225eab7d 100644
--- a/manifests/batches/goedel_workbook/000260.json
+++ b/manifests/batches/goedel_workbook/000260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000260",
   "batch_fingerprint": "91bba77e55ed590e9ce090643b6818b68679e76f989b24f6ea46cd632b353166",
   "evidence": {
@@ -307,22 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000260-0000-f0c189dca8bdb697.parquet",
-      "sha256": "f0c189dca8bdb69750c47ff1aef50857f421abf9c06cebf8ed7d54995c64327a",
-      "bytes": 83751,
-      "rows": 20,
-      "revision": "f35e16cebcb3c965582d17f563ba6adb25a2a91c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000260-0000-1c609669c3cdf815.parquet",
-      "sha256": "1c609669c3cdf8152ab8a5df14b044ccadd050497ca943d2f31f01065ea9fce7",
-      "bytes": 37346,
-      "rows": 3,
-      "revision": "f35e16cebcb3c965582d17f563ba6adb25a2a91c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36668",
     "goedel_workbook:lean_workbook_36670",
@@ -344,5 +328,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006522.lean\",\"66de1fc548240b7a616101c60460a0a4888b6dc63b654b873f1d0036a09042c2\",0,\"lean_workbook_36743\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006523.lean\",\"b416ae20312acbd84b72fbd31a0815709880dd5bc6912636d4683059704763b7\",0,\"lean_workbook_36745\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006524.lean\",\"5e7865970fe2c52085f508b95f0cd3ef2caedc61010f6528408510141104d428\",0,\"lean_workbook_36750\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83751,
+      "path": "data/train/p32/goedel_workbook-000260-0000-f0c189dca8bdb697.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f0c189dca8bdb69750c47ff1aef50857f421abf9c06cebf8ed7d54995c64327a"
+    },
+    {
+      "bytes": 37346,
+      "path": "data/internal_test/p32/goedel_workbook-000260-0000-1c609669c3cdf815.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1c609669c3cdf8152ab8a5df14b044ccadd050497ca943d2f31f01065ea9fce7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000261.json b/manifests/batches/goedel_workbook/000261.json
index 0b0035bf290a8170a329e974602f2b6f02efd210..500d50f315de65da07c2494a7b1758fab3b13564 100644
--- a/manifests/batches/goedel_workbook/000261.json
+++ b/manifests/batches/goedel_workbook/000261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000261",
   "batch_fingerprint": "09c1f0dbc81f0cb63c85654097b86517eaba54743e5845893822047b3da136ea",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000261-0000-49155e96309655a7.parquet",
-      "sha256": "49155e96309655a74155a614d0d26baaa452f33d4fb2938acea85c41a2b8fdc2",
-      "bytes": 159523,
-      "rows": 38,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000261-0000-bf380593d9d5c247.parquet",
-      "sha256": "bf380593d9d5c2475104f008fe8d9e9c189390668127abc5ed237ee1f8cf25ac",
-      "bytes": 47677,
-      "rows": 9,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36752",
     "goedel_workbook:lean_workbook_36754",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006545.lean\",\"3dda8305dc402b448e3dbd38c1a157155a2c368f0fa268a87482e63cfd8e0408\",0,\"lean_workbook_36815\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006546.lean\",\"f06133c7d9ad4eb0a97c19118496427e83ee9b7fcb69c2b8d73906a06adb12a4\",0,\"lean_workbook_36817\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006548.lean\",\"aacda5553e83429404628eea34e0fe90cc49cec89bb194a236f9cf86bd5961d7\",0,\"lean_workbook_36821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159523,
+      "path": "data/train/p13/goedel_workbook-000261-0000-49155e96309655a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "49155e96309655a74155a614d0d26baaa452f33d4fb2938acea85c41a2b8fdc2"
+    },
+    {
+      "bytes": 47677,
+      "path": "data/internal_test/p13/goedel_workbook-000261-0000-bf380593d9d5c247.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bf380593d9d5c2475104f008fe8d9e9c189390668127abc5ed237ee1f8cf25ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000262.json b/manifests/batches/goedel_workbook/000262.json
index 764bfcaceb3b247ae2d57f8423fa811837761320..fb5564b0a0fd37893bc87c6de82e78d60c2525c0 100644
--- a/manifests/batches/goedel_workbook/000262.json
+++ b/manifests/batches/goedel_workbook/000262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000262",
   "batch_fingerprint": "802637c6678cea93bffc51662ac1cb9749f88aecb099ab0ff2fd5fe2b4fd714e",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000262-0000-74d0dc36da2b6be8.parquet",
-      "sha256": "74d0dc36da2b6be8664cc711df09c57dce3650297a1eeabb6d4b95278db72947",
-      "bytes": 134586,
-      "rows": 36,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000262-0000-e1095cdf4a462982.parquet",
-      "sha256": "e1095cdf4a4629827471b35a413d7eeae1d875219f72c7dc6c67caca608fbfc4",
-      "bytes": 31959,
-      "rows": 1,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36830",
     "goedel_workbook:lean_workbook_36853",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006569.lean\",\"1c9f0038fa8f2c6b6fd1bedf57fe906640153611bda8a2389a48f18e9a8338e6\",0,\"lean_workbook_36908\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006572.lean\",\"d36e91588869c976d6b9a80d894c01dd478842d9c756668f6fa676b23f2a00e1\",0,\"lean_workbook_36913\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006573.lean\",\"ab111ac515d37e4298f70899f6e62b40d629744dc049f305964ce31b75774c4b\",0,\"lean_workbook_36921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134586,
+      "path": "data/train/p7a/goedel_workbook-000262-0000-74d0dc36da2b6be8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "74d0dc36da2b6be8664cc711df09c57dce3650297a1eeabb6d4b95278db72947"
+    },
+    {
+      "bytes": 31959,
+      "path": "data/internal_test/p7a/goedel_workbook-000262-0000-e1095cdf4a462982.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e1095cdf4a4629827471b35a413d7eeae1d875219f72c7dc6c67caca608fbfc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000263.json b/manifests/batches/goedel_workbook/000263.json
index fa4fcb80f3661650c177095e78b1be6c90ece08a..d7e3218531b48085a6bdbac454dbc1e597abd74e 100644
--- a/manifests/batches/goedel_workbook/000263.json
+++ b/manifests/batches/goedel_workbook/000263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000263",
   "batch_fingerprint": "f017eaddf388a09e6d046f7f04add76e92b881c56aba398e6d2ef587c77d8fce",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000263-0000-510ac195b0913463.parquet",
-      "sha256": "510ac195b091346363f3bba6578312daac55624824e0388ae2235faa7612591d",
-      "bytes": 234366,
-      "rows": 56,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000263-0000-d76f6c7803f4d6d9.parquet",
-      "sha256": "d76f6c7803f4d6d9a0824e01d23a4b0ab1f65e664bfd7a2f7d037de875b77ccf",
-      "bytes": 67375,
-      "rows": 9,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000263-0000-32fe909f39e7ca51.parquet",
-      "sha256": "32fe909f39e7ca5150aaffc10dde6d8718dfb9d00098f52d18941cb6cb52ea50",
-      "bytes": 38302,
-      "rows": 1,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_36932",
     "goedel_workbook:lean_workbook_36943",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006594.lean\",\"2c261d7443d70fb95c94add0aa8c69784843363f833c7de465dc8e4fc8c81996\",0,\"lean_workbook_36991\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006595.lean\",\"2fd899bdd4d78566b93e2a5b82e35245ada2fe95244d67c1ac898643fd5db20a\",0,\"lean_workbook_36997\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006599.lean\",\"313e196ae8bd549314c36ee10581f5910286b4fbe25349ae10a522808d34811e\",0,\"lean_workbook_37002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234366,
+      "path": "data/train/p23/goedel_workbook-000263-0000-510ac195b0913463.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "510ac195b091346363f3bba6578312daac55624824e0388ae2235faa7612591d"
+    },
+    {
+      "bytes": 67375,
+      "path": "data/dev/p23/goedel_workbook-000263-0000-d76f6c7803f4d6d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d76f6c7803f4d6d9a0824e01d23a4b0ab1f65e664bfd7a2f7d037de875b77ccf"
+    },
+    {
+      "bytes": 38302,
+      "path": "data/internal_test/p23/goedel_workbook-000263-0000-32fe909f39e7ca51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "32fe909f39e7ca5150aaffc10dde6d8718dfb9d00098f52d18941cb6cb52ea50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000264.json b/manifests/batches/goedel_workbook/000264.json
index 0a2894be157e2ae7cab75c582e5702c6db604405..1175b8fb9c2734216f3d36a154a65d92b000367d 100644
--- a/manifests/batches/goedel_workbook/000264.json
+++ b/manifests/batches/goedel_workbook/000264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000264",
   "batch_fingerprint": "f7061929cde6422fbfdfc712e53cc606833d4cb882dee1e527404e2e303575d9",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000264-0000-8a851cad156f08c3.parquet",
-      "sha256": "8a851cad156f08c3be7e2d913df7708a0de54c381b96ce5e1623dcd8db39e918",
-      "bytes": 161840,
-      "rows": 45,
-      "revision": "7e082d8c8304dda8b813734787a1bd504c3ed0e8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000264-0000-db79124e4772fc36.parquet",
-      "sha256": "db79124e4772fc36a77852ac790ce7700835043a53f87a8a45adcc939f42f12b",
-      "bytes": 50438,
-      "rows": 6,
-      "revision": "7e082d8c8304dda8b813734787a1bd504c3ed0e8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000264-0000-e9bc30773a30d032.parquet",
-      "sha256": "e9bc30773a30d0322743607170a4d0d640d3db6cb8e331ed2f417330dba49254",
-      "bytes": 50364,
-      "rows": 6,
-      "revision": "7e082d8c8304dda8b813734787a1bd504c3ed0e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37003",
     "goedel_workbook:lean_workbook_37017",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006620.lean\",\"1e0d0f136cb6c824eb9d6605d94c41af343ff924b2703fc126f7a622ecd3deda\",0,\"lean_workbook_3708\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006621.lean\",\"ad511060857752682dcc0805d73cd8fb8ce183cd9e62dd30fdbd8af119c1e03e\",0,\"lean_workbook_37083\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006622.lean\",\"f26c1ed5df384683ab61ec35780cc967f14b3099466115cbaa26dfba4336378d\",0,\"lean_workbook_3709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161840,
+      "path": "data/train/p63/goedel_workbook-000264-0000-8a851cad156f08c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "8a851cad156f08c3be7e2d913df7708a0de54c381b96ce5e1623dcd8db39e918"
+    },
+    {
+      "bytes": 50438,
+      "path": "data/dev/p63/goedel_workbook-000264-0000-db79124e4772fc36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "db79124e4772fc36a77852ac790ce7700835043a53f87a8a45adcc939f42f12b"
+    },
+    {
+      "bytes": 50364,
+      "path": "data/internal_test/p63/goedel_workbook-000264-0000-e9bc30773a30d032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e9bc30773a30d0322743607170a4d0d640d3db6cb8e331ed2f417330dba49254"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000265.json b/manifests/batches/goedel_workbook/000265.json
index 847f87e21f7db67a2e5e5c72a54f79d5d1ed26c1..fb0e01b52a4d9dc1453e6aa809f03d15404c7623 100644
--- a/manifests/batches/goedel_workbook/000265.json
+++ b/manifests/batches/goedel_workbook/000265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000265",
   "batch_fingerprint": "d9d801e7fa54a70e2d69940502cdb499dd163818b8774c371114277f2c52f724",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000265-0000-5e20f8fcaed6d576.parquet",
-      "sha256": "5e20f8fcaed6d576acf86394686c4154edc0120a8a8d438887c7678b7c939493",
-      "bytes": 168533,
-      "rows": 47,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000265-0000-b96cb935920ec964.parquet",
-      "sha256": "b96cb935920ec96408ccd21b648d2f804d9427ebda834c17dee615c6b0c01ddc",
-      "bytes": 55256,
-      "rows": 10,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000265-0000-15a7777be59f0686.parquet",
-      "sha256": "15a7777be59f0686ee80c475849f8a4e7968fdf7420f78c47457f0752a7fb271",
-      "bytes": 40529,
-      "rows": 3,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37094",
     "goedel_workbook:lean_workbook_37099",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006642.lean\",\"a7d0e0dac9890ced181ecc30471d6559e8d6004e56941445ed4d9bc1823a74b3\",0,\"lean_workbook_37156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006646.lean\",\"36ec694c720590cefb441ca4f00b6e5ffed70bcd9e35b4891f913038c7cbd7c4\",0,\"lean_workbook_37174\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006649.lean\",\"c26ccbd9f8c68a2efcf75b4f3ad9bbb39697e6cfaeaef9b4903d7b4e37a51dac\",0,\"lean_workbook_3720\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168533,
+      "path": "data/train/pbc/goedel_workbook-000265-0000-5e20f8fcaed6d576.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "5e20f8fcaed6d576acf86394686c4154edc0120a8a8d438887c7678b7c939493"
+    },
+    {
+      "bytes": 55256,
+      "path": "data/dev/pbc/goedel_workbook-000265-0000-b96cb935920ec964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b96cb935920ec96408ccd21b648d2f804d9427ebda834c17dee615c6b0c01ddc"
+    },
+    {
+      "bytes": 40529,
+      "path": "data/internal_test/pbc/goedel_workbook-000265-0000-15a7777be59f0686.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "15a7777be59f0686ee80c475849f8a4e7968fdf7420f78c47457f0752a7fb271"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000266.json b/manifests/batches/goedel_workbook/000266.json
index 397bdfafd877dbd74cfb1d782b2fbef8f626dcca..8a40570d97ebbfb1a518d1e165fe9b2eef6ab6c4 100644
--- a/manifests/batches/goedel_workbook/000266.json
+++ b/manifests/batches/goedel_workbook/000266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000266",
   "batch_fingerprint": "5abe9c3f8d4865b49236a762df9581c3c18d635c1ac5590299a007ee4f24015c",
   "evidence": {
@@ -271,15 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000266-0000-f70e140183470175.parquet",
-      "sha256": "f70e140183470175d90209b756a8b5c5994811321181a8043d92d8df44df146e",
-      "bytes": 213492,
-      "rows": 36,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37206",
     "goedel_workbook:lean_workbook_37227",
@@ -305,5 +296,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006668.lean\",\"ec3c2ef6459af153c248dfef95b159f53bf9b01c9383db81190e7a862de34f77\",0,\"lean_workbook_37273\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006671.lean\",\"7c8a6ad9959a594b51c955c95922c8ce92b1ef2702a31e4616e4a9f7d77856f4\",0,\"lean_workbook_37284\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006672.lean\",\"2b19c625ca3f7c76fc025f92a4bb62c7960a8bfa5e88396cba64cd8caf560d28\",0,\"lean_workbook_37295\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213492,
+      "path": "data/train/pac/goedel_workbook-000266-0000-f70e140183470175.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f70e140183470175d90209b756a8b5c5994811321181a8043d92d8df44df146e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000267.json b/manifests/batches/goedel_workbook/000267.json
index eca1c6251061489e9eb8acb3cd8b7429288e1921..8a5b33c421aa3e5639349cc21d6190d9f550b828 100644
--- a/manifests/batches/goedel_workbook/000267.json
+++ b/manifests/batches/goedel_workbook/000267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000267",
   "batch_fingerprint": "18962d3ca8143ded5909623ea786fe55bd1e802ea9aa91f87aeb1da019c354da",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000267-0000-fe8a9a9e99ab2061.parquet",
-      "sha256": "fe8a9a9e99ab20616a9a28526e7a6aadf6ca5523d3451cc8e9987d689025461f",
-      "bytes": 163952,
-      "rows": 41,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000267-0000-c96f4e6e853e9380.parquet",
-      "sha256": "c96f4e6e853e938020038328d56a5f3da29607474c35d126f6ebe86979045f2e",
-      "bytes": 59244,
-      "rows": 13,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37305",
     "goedel_workbook:lean_workbook_37308",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006695.lean\",\"b268c8623c1b05b0c7d001f481343ad00b28b86f2e2d9b4e0954198c4864958b\",0,\"lean_workbook_37394\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006696.lean\",\"dad9683d8bd24e275ada0ac5e98d3bf1166374db554ddf81ab62cdb5f280fa86\",0,\"lean_workbook_37396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006697.lean\",\"7a81254296d30540c94d503eacf1a6fd8bff12701bc4aa3a22cb7114fc5d3386\",0,\"lean_workbook_37397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163952,
+      "path": "data/train/p05/goedel_workbook-000267-0000-fe8a9a9e99ab2061.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "fe8a9a9e99ab20616a9a28526e7a6aadf6ca5523d3451cc8e9987d689025461f"
+    },
+    {
+      "bytes": 59244,
+      "path": "data/internal_test/p05/goedel_workbook-000267-0000-c96f4e6e853e9380.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c96f4e6e853e938020038328d56a5f3da29607474c35d126f6ebe86979045f2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000268.json b/manifests/batches/goedel_workbook/000268.json
index 00bf709576c4b36b24424ce6215c84258d65d5b0..d9f943cf34caf185ce5ee456de96ccb119d308de 100644
--- a/manifests/batches/goedel_workbook/000268.json
+++ b/manifests/batches/goedel_workbook/000268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000268",
   "batch_fingerprint": "9031453d6a1de98e8c0da16f82f7f4f1a45b5d8f54048166bd67501bed30f66d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000268-0000-2fff35f09c4fd762.parquet",
-      "sha256": "2fff35f09c4fd7620c019760c11237d0f1bb2cd46d89e20b313a9a6f7ec2768d",
-      "bytes": 112185,
-      "rows": 24,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000268-0000-f10a629a3b99a40c.parquet",
-      "sha256": "f10a629a3b99a40cad0da77ae401953d45f6dbe94150459fb1ced5c462350c4b",
-      "bytes": 30319,
-      "rows": 2,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000268-0000-9ed8c591e4706704.parquet",
-      "sha256": "9ed8c591e470670403f599118a8aeae2188f5697bc72641e67c200cbb72c3633",
-      "bytes": 43176,
-      "rows": 2,
-      "revision": "0edd24e752e72a82663f8efe57bb2d5a6c6474fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37402",
     "goedel_workbook:lean_workbook_37417",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006722.lean\",\"cb0268a9b8a20205f7071c1834c40189cedb6301e573234d00a4696ea04279e8\",0,\"lean_workbook_37509\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006723.lean\",\"c295e5a71180644c68c1d2d7dbbcb3e57fcaefc70c6ba3262a552e8539ee6cca\",0,\"lean_workbook_37514\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006724.lean\",\"d44b1e075bc3ed07e2dc33d91431d4edbbb9108371c5a8b20dbfa84e26befb36\",0,\"lean_workbook_37517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112185,
+      "path": "data/train/p5e/goedel_workbook-000268-0000-2fff35f09c4fd762.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2fff35f09c4fd7620c019760c11237d0f1bb2cd46d89e20b313a9a6f7ec2768d"
+    },
+    {
+      "bytes": 30319,
+      "path": "data/dev/p5e/goedel_workbook-000268-0000-f10a629a3b99a40c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f10a629a3b99a40cad0da77ae401953d45f6dbe94150459fb1ced5c462350c4b"
+    },
+    {
+      "bytes": 43176,
+      "path": "data/internal_test/p5e/goedel_workbook-000268-0000-9ed8c591e4706704.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9ed8c591e470670403f599118a8aeae2188f5697bc72641e67c200cbb72c3633"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000269.json b/manifests/batches/goedel_workbook/000269.json
index 7a96e16b820292424149175ec873960e8c930358..d443795ea81a314a4f5780bc3be91163aa947997 100644
--- a/manifests/batches/goedel_workbook/000269.json
+++ b/manifests/batches/goedel_workbook/000269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000269",
   "batch_fingerprint": "dc97f4f8bccc3eb4e1dd64f3334f6d8e448d56d0f0c2ece08f4704e1a3f71624",
   "evidence": {
@@ -325,15 +324,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000269-0000-fd6ed574e7fcf42f.parquet",
-      "sha256": "fd6ed574e7fcf42f99e39f2a41bf3c255f388efa9cb2dd72fd163e6de6ebd6ac",
-      "bytes": 115713,
-      "rows": 29,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37535",
     "goedel_workbook:lean_workbook_37555",
@@ -353,5 +344,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006747.lean\",\"1791e3bd3fa43731c32b793d93b1e46ad62e7b9e2d5461223ae01ee6d0339041\",0,\"lean_workbook_37608\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006748.lean\",\"dbc70445f8ffde1625cd19947e4fcc1ef14cd51044330e16cd141bc5a2f3b8ab\",0,\"lean_workbook_3761\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006749.lean\",\"13ccd6c2f94ed3c91e35250ab39990b94cb47932e5760090a937c9f91f792f0e\",0,\"lean_workbook_37616\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115713,
+      "path": "data/train/p75/goedel_workbook-000269-0000-fd6ed574e7fcf42f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "fd6ed574e7fcf42f99e39f2a41bf3c255f388efa9cb2dd72fd163e6de6ebd6ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000270.json b/manifests/batches/goedel_workbook/000270.json
index 229582a81a7bbbf5df262bc6fa02b7d82a51c5e8..17e9a52b4fc71d241dfa27c3346b9904b5cc586e 100644
--- a/manifests/batches/goedel_workbook/000270.json
+++ b/manifests/batches/goedel_workbook/000270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000270",
   "batch_fingerprint": "ce8e381071d6558b831cbf88610f2437da65995604f455668059ddd9effe7d79",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000270-0000-2ae7c347c9562f11.parquet",
-      "sha256": "2ae7c347c9562f11437ce140a23e799bfc18503d943838c5615eaa49288c41d7",
-      "bytes": 179384,
-      "rows": 42,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000270-0000-9fc6fd59c98c5496.parquet",
-      "sha256": "9fc6fd59c98c5496a439f8c7f8fed9a9ee8280c7ebacd6052d5f38ccc9339840",
-      "bytes": 48965,
-      "rows": 7,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37624",
     "goedel_workbook:lean_workbook_37635",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006770.lean\",\"d31f57061141e961af8c21ed59b66524455a196ee46a416f3d7a1d4028ab679e\",0,\"lean_workbook_37726\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006772.lean\",\"8d91b5119f0ae2d126b6ae2ca841ed3f6d7238c9591538dc8a7742c3a76cfea3\",0,\"lean_workbook_37736\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006774.lean\",\"6f37d330138e4ed6087f1bc0dc6f6ca6300b997dd8c82bd6e355ff7df5336ba9\",0,\"lean_workbook_37741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179384,
+      "path": "data/train/pef/goedel_workbook-000270-0000-2ae7c347c9562f11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "2ae7c347c9562f11437ce140a23e799bfc18503d943838c5615eaa49288c41d7"
+    },
+    {
+      "bytes": 48965,
+      "path": "data/internal_test/pef/goedel_workbook-000270-0000-9fc6fd59c98c5496.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9fc6fd59c98c5496a439f8c7f8fed9a9ee8280c7ebacd6052d5f38ccc9339840"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000271.json b/manifests/batches/goedel_workbook/000271.json
index 8e70a97945f6737b73e33650c4b5c71d9efa9ca0..4b26769e93299cb73726b931033fc8857790acaf 100644
--- a/manifests/batches/goedel_workbook/000271.json
+++ b/manifests/batches/goedel_workbook/000271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000271",
   "batch_fingerprint": "c0e03fadc3e23193f6e709e924a70a2bd3446ea177335c384f182d9118006cc2",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000271-0000-9bced1d38bf84b72.parquet",
-      "sha256": "9bced1d38bf84b72d0da793420ecbf18103a7bc826d2d9d1a9987e75af161138",
-      "bytes": 119881,
-      "rows": 30,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000271-0000-ebc6b97c72cf75ae.parquet",
-      "sha256": "ebc6b97c72cf75ae7655b0d8c3d0d946bcb7b75e24e81e4d5e0396bf6dd85fd2",
-      "bytes": 48568,
-      "rows": 7,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37743",
     "goedel_workbook:lean_workbook_37746",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006797.lean\",\"f192d498296b1d9877c6f5f30c9de4bb38354204c30dcae008f948bf05b5e59c\",0,\"lean_workbook_37847\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006798.lean\",\"c7a5c8d1ae33b089662ed0b93d2d8942d90014b9dae47d8fa24e8f9951ccbf7b\",0,\"lean_workbook_37850\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006799.lean\",\"f2ddf9c08a2432da4edda9a8592fecb33e656c57ce09001fcb959618b89a233c\",0,\"lean_workbook_37853\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119881,
+      "path": "data/train/p09/goedel_workbook-000271-0000-9bced1d38bf84b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9bced1d38bf84b72d0da793420ecbf18103a7bc826d2d9d1a9987e75af161138"
+    },
+    {
+      "bytes": 48568,
+      "path": "data/internal_test/p09/goedel_workbook-000271-0000-ebc6b97c72cf75ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ebc6b97c72cf75ae7655b0d8c3d0d946bcb7b75e24e81e4d5e0396bf6dd85fd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000272.json b/manifests/batches/goedel_workbook/000272.json
index d4ae57940c395b5cc71e9b0244b8e5c1bb2b76d1..cb859c1e2eb921c8aeda44da4ada175518065ecf 100644
--- a/manifests/batches/goedel_workbook/000272.json
+++ b/manifests/batches/goedel_workbook/000272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000272",
   "batch_fingerprint": "0f7e01da24fd342fe94272eac9ac2d36b25660de8c265e852b85129e50373435",
   "evidence": {
@@ -254,22 +253,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000272-0000-48167bbfb57a361a.parquet",
-      "sha256": "48167bbfb57a361aede6c96154b25e372512e5d09028f0940112d0e116d84656",
-      "bytes": 92386,
-      "rows": 26,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000272-0000-ef9d060b2e096bad.parquet",
-      "sha256": "ef9d060b2e096bad3b32ce934f0b49035c049c93f6308f3cd9906bdc7ff4d58c",
-      "bytes": 60067,
-      "rows": 13,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37855",
     "goedel_workbook:lean_workbook_37856",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006818.lean\",\"a0e5d379fe72dad175ff0467a59e066a5f3adf94d361ffcc8333be8f7807db17\",0,\"lean_workbook_37904\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006821.lean\",\"4464ee83c5e93e8f617ba663330a8fc7ee0aeb73435f3f385499dd83eeae895d\",0,\"lean_workbook_37911\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006822.lean\",\"4253257d6aaad5dfaeec2349ced52110f8b8e72f2115e90393dfd4e9a1daf86e\",0,\"lean_workbook_37915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92386,
+      "path": "data/train/pc4/goedel_workbook-000272-0000-48167bbfb57a361a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "48167bbfb57a361aede6c96154b25e372512e5d09028f0940112d0e116d84656"
+    },
+    {
+      "bytes": 60067,
+      "path": "data/internal_test/pc4/goedel_workbook-000272-0000-ef9d060b2e096bad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ef9d060b2e096bad3b32ce934f0b49035c049c93f6308f3cd9906bdc7ff4d58c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000273.json b/manifests/batches/goedel_workbook/000273.json
index 6b976ec9498aeac55ead27083f7a65da3d705ba0..45d6df0b1b0cee5ce51e2ec34ec6c03b9fd539ab 100644
--- a/manifests/batches/goedel_workbook/000273.json
+++ b/manifests/batches/goedel_workbook/000273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000273",
   "batch_fingerprint": "5d1b08d7b9a783cec86908dc24ee890a33368f057588ebc95efebc0187f2c096",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000273-0000-7f1d3e300caf8fc6.parquet",
-      "sha256": "7f1d3e300caf8fc63b1170b01f560b8a80af1a3a8aae3d6ec449cf15f65bacc5",
-      "bytes": 109776,
-      "rows": 29,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000273-0000-208f5e2b476035a3.parquet",
-      "sha256": "208f5e2b476035a30f226e4b2cc9c0c8df81e025de6ea3e0cb11f43c213053b8",
-      "bytes": 48313,
-      "rows": 8,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_37953",
     "goedel_workbook:lean_workbook_37956",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006842.lean\",\"cacf3b87bce8e8e633fb10dbfc6daf3aab1e48cd28724855b467581ff7de1ec6\",0,\"lean_workbook_38019\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006847.lean\",\"98878a3476472f4959f484f104df4c7774005b0f3f179f6f3f53dcd97ce1ae57\",0,\"lean_workbook_38031\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006849.lean\",\"1038431fde3e0eb8b12c82b04f8135969915b7c0727aa560384bbaaac2b6a7a6\",0,\"lean_workbook_38036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109776,
+      "path": "data/train/pc8/goedel_workbook-000273-0000-7f1d3e300caf8fc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7f1d3e300caf8fc63b1170b01f560b8a80af1a3a8aae3d6ec449cf15f65bacc5"
+    },
+    {
+      "bytes": 48313,
+      "path": "data/dev/pc8/goedel_workbook-000273-0000-208f5e2b476035a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "208f5e2b476035a30f226e4b2cc9c0c8df81e025de6ea3e0cb11f43c213053b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000274.json b/manifests/batches/goedel_workbook/000274.json
index d04c47afa312521280acc042d7f524d79fa62cbd..768f0e5e5cc7ba4f62d22994b839f11c28df31d9 100644
--- a/manifests/batches/goedel_workbook/000274.json
+++ b/manifests/batches/goedel_workbook/000274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000274",
   "batch_fingerprint": "8093555e1b9c316e41dfb723ca79d9d19545a5139052c02444cb9b6f7c1c5eb8",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000274-0000-46df364c89fa906f.parquet",
-      "sha256": "46df364c89fa906f2ae182a02e3a1d291aa5fbe8bc8be601f35791202322f90d",
-      "bytes": 90635,
-      "rows": 21,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000274-0000-aa1ee462dce6123c.parquet",
-      "sha256": "aa1ee462dce6123c30fb811a7cd5704a0a35462a80e615052aeadc308a4d55bc",
-      "bytes": 35147,
-      "rows": 2,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000274-0000-4a96e6309299b435.parquet",
-      "sha256": "4a96e6309299b43590c0b3935ad0b9cf365581a3c74c10dc63880398e187d896",
-      "bytes": 34025,
-      "rows": 1,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38039",
     "goedel_workbook:lean_workbook_38040",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006870.lean\",\"f0df9c9634cc1ae83c25047d9640c493d2990bbb4103c7a5ddcb4a730d9e39e5\",0,\"lean_workbook_38113\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006872.lean\",\"958926fbe4d9d1640adc5ca60975635c1c189d30a39391263a535e8c400cb3dc\",0,\"lean_workbook_38118\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006874.lean\",\"a07f705451e7449841f80f4f8bbf6586838398fd57ae0d38856f5e79dac2f829\",0,\"lean_workbook_38121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90635,
+      "path": "data/train/pb7/goedel_workbook-000274-0000-46df364c89fa906f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "46df364c89fa906f2ae182a02e3a1d291aa5fbe8bc8be601f35791202322f90d"
+    },
+    {
+      "bytes": 35147,
+      "path": "data/dev/pb7/goedel_workbook-000274-0000-aa1ee462dce6123c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aa1ee462dce6123c30fb811a7cd5704a0a35462a80e615052aeadc308a4d55bc"
+    },
+    {
+      "bytes": 34025,
+      "path": "data/internal_test/pb7/goedel_workbook-000274-0000-4a96e6309299b435.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4a96e6309299b43590c0b3935ad0b9cf365581a3c74c10dc63880398e187d896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000275.json b/manifests/batches/goedel_workbook/000275.json
index 51de926cf22f1a268e1f2887d434036cd914a2f7..ab3cf18e39c407a253c32bd0ec3db3148477c93a 100644
--- a/manifests/batches/goedel_workbook/000275.json
+++ b/manifests/batches/goedel_workbook/000275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000275",
   "batch_fingerprint": "83ae4c5bd021f3c395edc02ceec132f6b8588195d5b8ce2888dd93410c59e169",
   "evidence": {
@@ -334,29 +333,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000275-0000-1513d50f4fe76e85.parquet",
-      "sha256": "1513d50f4fe76e8590d7530a1a80bce73848ec1aacf4927b3306c4d8f81c57f7",
-      "bytes": 65985,
-      "rows": 12,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000275-0000-55cff27590a30c32.parquet",
-      "sha256": "55cff27590a30c327f76481e6290414f77f09a68821a26f03c8cf4fcbda01d7f",
-      "bytes": 54578,
-      "rows": 4,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000275-0000-273a269cefd72ea1.parquet",
-      "sha256": "273a269cefd72ea1130d660f59bddf4d050dda0b80205901240e07e4cf09f8e8",
-      "bytes": 57912,
-      "rows": 10,
-      "revision": "b34259a3658aa58d28a5dc5af39604e84eae36a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38129",
     "goedel_workbook:lean_workbook_38133",
@@ -376,5 +353,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006896.lean\",\"442dfb55d386f5d0808f35171a5c285767d45ea266c844e6cfa1d459b7d0fdfa\",0,\"lean_workbook_38244\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006898.lean\",\"b953c083c99e6d2b908fcd44dd0e5eab5a3affb5c818e7792f937a254c351d11\",0,\"lean_workbook_3825\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006899.lean\",\"f3021a016706231ee3f92e32fc2ee713b589f5ea47ea50fb39aa8054304d48c4\",0,\"lean_workbook_38254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65985,
+      "path": "data/train/peb/goedel_workbook-000275-0000-1513d50f4fe76e85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1513d50f4fe76e8590d7530a1a80bce73848ec1aacf4927b3306c4d8f81c57f7"
+    },
+    {
+      "bytes": 54578,
+      "path": "data/dev/peb/goedel_workbook-000275-0000-55cff27590a30c32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "55cff27590a30c327f76481e6290414f77f09a68821a26f03c8cf4fcbda01d7f"
+    },
+    {
+      "bytes": 57912,
+      "path": "data/internal_test/peb/goedel_workbook-000275-0000-273a269cefd72ea1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "273a269cefd72ea1130d660f59bddf4d050dda0b80205901240e07e4cf09f8e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000276.json b/manifests/batches/goedel_workbook/000276.json
index 0ddaf524d42ee96cef38060933cb04c301dfb6fc..4acad2dc3f815a6d9c1fbb7b2b0e39204b4304a0 100644
--- a/manifests/batches/goedel_workbook/000276.json
+++ b/manifests/batches/goedel_workbook/000276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000276",
   "batch_fingerprint": "c3b33fb31b9965a0593416f508835fbc99739ea9dec694a43bfe772049fa8660",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000276-0000-3c3296b3bc5e0484.parquet",
-      "sha256": "3c3296b3bc5e048421670733448b7cd18558395d9c035ad34c59c256a9523824",
-      "bytes": 130898,
-      "rows": 33,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000276-0000-b3e9a7e00ec7f73e.parquet",
-      "sha256": "b3e9a7e00ec7f73e346295a5b11a9b9e1ecc8dd71fd79013dc81c88127b6ca9b",
-      "bytes": 43640,
-      "rows": 5,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000276-0000-c092b073a6c78a80.parquet",
-      "sha256": "c092b073a6c78a8040c95ad91757c074af58bf808cf1a2b08163c6966ba29973",
-      "bytes": 44424,
-      "rows": 5,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38256",
     "goedel_workbook:lean_workbook_38257",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006922.lean\",\"1f46e3ae8df85ef77beece03c0d48134b1403a7bd75462c553f0c0ab436a3e58\",0,\"lean_workbook_38330\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006924.lean\",\"8de2b568c03d94932a018581e41cc27c424c77715530c9f9e1ccafa037b3a36a\",0,\"lean_workbook_38335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130898,
+      "path": "data/train/pf2/goedel_workbook-000276-0000-3c3296b3bc5e0484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3c3296b3bc5e048421670733448b7cd18558395d9c035ad34c59c256a9523824"
+    },
+    {
+      "bytes": 43640,
+      "path": "data/dev/pf2/goedel_workbook-000276-0000-b3e9a7e00ec7f73e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b3e9a7e00ec7f73e346295a5b11a9b9e1ecc8dd71fd79013dc81c88127b6ca9b"
+    },
+    {
+      "bytes": 44424,
+      "path": "data/internal_test/pf2/goedel_workbook-000276-0000-c092b073a6c78a80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c092b073a6c78a8040c95ad91757c074af58bf808cf1a2b08163c6966ba29973"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000277.json b/manifests/batches/goedel_workbook/000277.json
index 061066e163057ac3a2598eea6b88cebb30716366..b85d69879fa130b6355352e19ce254cf1f9cbc32 100644
--- a/manifests/batches/goedel_workbook/000277.json
+++ b/manifests/batches/goedel_workbook/000277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000277",
   "batch_fingerprint": "2ef88c630eda88c07ca6db0b18dd16a824a1c5580bdeaca140373f92515fa846",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000277-0000-320e6694ec4e1d69.parquet",
-      "sha256": "320e6694ec4e1d6918620823c80454abd7209390c7f94eda5c892e9d0aef66d1",
-      "bytes": 151665,
-      "rows": 28,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000277-0000-be28509890623d45.parquet",
-      "sha256": "be28509890623d45e7d033def8bc5ca7a714ec8fc6503c44a1c3236f724c8547",
-      "bytes": 39242,
-      "rows": 8,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000277-0000-6ad2e85de562ded3.parquet",
-      "sha256": "6ad2e85de562ded3487b03b3a0aa715e67adfc4ee4c2a6b41c738dd8e63cf271",
-      "bytes": 42750,
-      "rows": 9,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38350",
     "goedel_workbook:lean_workbook_38353",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006944.lean\",\"8b5b29b5e819b66578bb7bc54daccac76296b3eb7c4ab98c71c07012f3c2e466\",0,\"lean_workbook_38411\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006945.lean\",\"700ed075b9304e030739440b6a758d63211d317e68728f3273ba96d9cb86c816\",0,\"lean_workbook_38417\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006946.lean\",\"55eed823df4129d27513f5926fe56ca5b74fdc835219f58ba06ee6ad22a0b517\",0,\"lean_workbook_38419\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151665,
+      "path": "data/train/pbf/goedel_workbook-000277-0000-320e6694ec4e1d69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "320e6694ec4e1d6918620823c80454abd7209390c7f94eda5c892e9d0aef66d1"
+    },
+    {
+      "bytes": 39242,
+      "path": "data/dev/pbf/goedel_workbook-000277-0000-be28509890623d45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "be28509890623d45e7d033def8bc5ca7a714ec8fc6503c44a1c3236f724c8547"
+    },
+    {
+      "bytes": 42750,
+      "path": "data/internal_test/pbf/goedel_workbook-000277-0000-6ad2e85de562ded3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6ad2e85de562ded3487b03b3a0aa715e67adfc4ee4c2a6b41c738dd8e63cf271"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000278.json b/manifests/batches/goedel_workbook/000278.json
index 2daf2d1a32be49113a495b5d5a02d66a17f516d2..f168e4efcb787604240e5578755791b4ff75b416 100644
--- a/manifests/batches/goedel_workbook/000278.json
+++ b/manifests/batches/goedel_workbook/000278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000278",
   "batch_fingerprint": "33786fb28937b17e941b1bd6fe37f92b03234de38512d02eaa712ce5dfe505b3",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000278-0000-3d6c38a2d102be48.parquet",
-      "sha256": "3d6c38a2d102be48e64b54a5ea7d50d8ea11a1ce85bbf5a2ccb278c82f3eca29",
-      "bytes": 85445,
-      "rows": 21,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000278-0000-fde721703bcd1405.parquet",
-      "sha256": "fde721703bcd14058d01e9ecb18c2dcbd37c1b201bfa0a1ff8ee87a27f02f33e",
-      "bytes": 87924,
-      "rows": 16,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38449",
     "goedel_workbook:lean_workbook_3846",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006972.lean\",\"7c58a16563dc672d04d6bc37633c769e707d0b60f6e966218e397d29fa890935\",0,\"lean_workbook_38552\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006973.lean\",\"a9f65b9c96087dd56e2ec4a1002d1893856378a97ed0a3e8cf70a0ade26d00c1\",0,\"lean_workbook_38553\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006974.lean\",\"0005a6a385619367cfb16340de324f338fe16738cdf93b647b1a4e9ec93b3615\",0,\"lean_workbook_3856\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85445,
+      "path": "data/train/pe4/goedel_workbook-000278-0000-3d6c38a2d102be48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3d6c38a2d102be48e64b54a5ea7d50d8ea11a1ce85bbf5a2ccb278c82f3eca29"
+    },
+    {
+      "bytes": 87924,
+      "path": "data/internal_test/pe4/goedel_workbook-000278-0000-fde721703bcd1405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "fde721703bcd14058d01e9ecb18c2dcbd37c1b201bfa0a1ff8ee87a27f02f33e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000279.json b/manifests/batches/goedel_workbook/000279.json
index d0077047bcd4de0128612939738cd663e51aeecc..51a02239bda7f5272d8fbd2809c7cd1928cc00f4 100644
--- a/manifests/batches/goedel_workbook/000279.json
+++ b/manifests/batches/goedel_workbook/000279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000279",
   "batch_fingerprint": "84d19e1dd027dad15ea58130b7a49312e35fd61aec744220acd21ee836ba834c",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000279-0000-4d036f407fcd7894.parquet",
-      "sha256": "4d036f407fcd789431615ae42a64bb59538c879e0f3255351e72b9d7d71e5c43",
-      "bytes": 174635,
-      "rows": 38,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000279-0000-0a44dd50ecc2ac74.parquet",
-      "sha256": "0a44dd50ecc2ac74ac5918bb69cf93744e1002e1c657173b9ca4e4cfd7aad1f6",
-      "bytes": 37463,
-      "rows": 2,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000279-0000-f3ce5b8c0a5aa4f8.parquet",
-      "sha256": "f3ce5b8c0a5aa4f841633d0f4c352923e23001d1f53d4e3c2a613e2373f91762",
-      "bytes": 33634,
-      "rows": 3,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38564",
     "goedel_workbook:lean_workbook_38566",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006997.lean\",\"e75a4e0e7b906c9698cd1b433c8c1c3dd831fcde9d061fbb1ce736fb41461281\",0,\"lean_workbook_38666\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006998.lean\",\"6d4e02dd5d3b92fc6f8fb1e15b61a12f074e237efaebe6bb1b5a84a9553dcfd8\",0,\"lean_workbook_38673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_006999.lean\",\"bd9290bc6e714150fadee9b5c7a4f700a4d1331e8dc24be587b839cbd21e682c\",0,\"lean_workbook_38674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174635,
+      "path": "data/train/p55/goedel_workbook-000279-0000-4d036f407fcd7894.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "4d036f407fcd789431615ae42a64bb59538c879e0f3255351e72b9d7d71e5c43"
+    },
+    {
+      "bytes": 37463,
+      "path": "data/dev/p55/goedel_workbook-000279-0000-0a44dd50ecc2ac74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0a44dd50ecc2ac74ac5918bb69cf93744e1002e1c657173b9ca4e4cfd7aad1f6"
+    },
+    {
+      "bytes": 33634,
+      "path": "data/internal_test/p55/goedel_workbook-000279-0000-f3ce5b8c0a5aa4f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f3ce5b8c0a5aa4f841633d0f4c352923e23001d1f53d4e3c2a613e2373f91762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000280.json b/manifests/batches/goedel_workbook/000280.json
index 6ca5b6d5d1e22d3eb35bb6a89ce1227eb5c22021..65716acb8942a07dedf186f1131eb47dd1fdb436 100644
--- a/manifests/batches/goedel_workbook/000280.json
+++ b/manifests/batches/goedel_workbook/000280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000280",
   "batch_fingerprint": "fe35825cfa6c3d09346276ec22a18d49cb3f53b2b09a6a983aba569b36ca248c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000280-0000-26a6220a7edd34f2.parquet",
-      "sha256": "26a6220a7edd34f298ce715fc0399615b791bb55053cd2b42f25b5e88869c72b",
-      "bytes": 199132,
-      "rows": 42,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000280-0000-82a68b5397fd1f00.parquet",
-      "sha256": "82a68b5397fd1f00355b8bd8d0ab51aab2a9bb66cf4315c68012da69230dcce5",
-      "bytes": 28869,
-      "rows": 1,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3868",
     "goedel_workbook:lean_workbook_3869",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007020.lean\",\"c4f77244f600b8aea361d489f99215dbb824f4f45c590bac67f31ea42c6bfc80\",0,\"lean_workbook_38742\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007023.lean\",\"fbf361d30d8e79b7fd0a7975a80eac78182edb1cada9c5ce44439057f362c362\",0,\"lean_workbook_38764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007024.lean\",\"f95a33de1087e2190bf308b4215c17fd4b6355c8096ce570b057fa80c192673e\",0,\"lean_workbook_38773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199132,
+      "path": "data/train/pf9/goedel_workbook-000280-0000-26a6220a7edd34f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "26a6220a7edd34f298ce715fc0399615b791bb55053cd2b42f25b5e88869c72b"
+    },
+    {
+      "bytes": 28869,
+      "path": "data/internal_test/pf9/goedel_workbook-000280-0000-82a68b5397fd1f00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "82a68b5397fd1f00355b8bd8d0ab51aab2a9bb66cf4315c68012da69230dcce5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000281.json b/manifests/batches/goedel_workbook/000281.json
index 4eb9547ef027a2ad969507d6664eebda3a4ba917..b7a6b00fedc3772eec2ecfdfa343912a66a3caab 100644
--- a/manifests/batches/goedel_workbook/000281.json
+++ b/manifests/batches/goedel_workbook/000281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000281",
   "batch_fingerprint": "894dae3c4f068fd85cd78d8bd6cb76fdaf032643bf99b82a8fd5d2693bbd1b98",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000281-0000-b7f50f15b1987045.parquet",
-      "sha256": "b7f50f15b198704567d2544d9170d139683133a3c6f4a31ad898e3878eb6d7b6",
-      "bytes": 150183,
-      "rows": 33,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000281-0000-7835042e006e3d11.parquet",
-      "sha256": "7835042e006e3d116dc3751233bae88cd4ebecc4be7cba8f8a8deb9bb1a8e0a0",
-      "bytes": 32375,
-      "rows": 2,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000281-0000-d11f5ca847b51e01.parquet",
-      "sha256": "d11f5ca847b51e01e2f56ee174db26f1ed8536625e36f9eef67f3518751aff17",
-      "bytes": 81635,
-      "rows": 19,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_38780",
     "goedel_workbook:lean_workbook_38784",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007046.lean\",\"c4b3d9331abcd30da1fafaa381b0680293d8e55e006a3aad1b3883703d2da2bb\",0,\"lean_workbook_38873\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007047.lean\",\"e298dab50f2f5a00a5819cc654ae4e646798e360e7c6d3f8516c73c587ba5d87\",0,\"lean_workbook_38876\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007048.lean\",\"6b27314fe9240e0369514bd3b0182ceda98e4f065ad5db0e87b85c4cc0a4e98f\",0,\"lean_workbook_38883\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150183,
+      "path": "data/train/pdc/goedel_workbook-000281-0000-b7f50f15b1987045.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b7f50f15b198704567d2544d9170d139683133a3c6f4a31ad898e3878eb6d7b6"
+    },
+    {
+      "bytes": 32375,
+      "path": "data/dev/pdc/goedel_workbook-000281-0000-7835042e006e3d11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7835042e006e3d116dc3751233bae88cd4ebecc4be7cba8f8a8deb9bb1a8e0a0"
+    },
+    {
+      "bytes": 81635,
+      "path": "data/internal_test/pdc/goedel_workbook-000281-0000-d11f5ca847b51e01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d11f5ca847b51e01e2f56ee174db26f1ed8536625e36f9eef67f3518751aff17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000282.json b/manifests/batches/goedel_workbook/000282.json
index c3d5453090b7ca04f16a6158c5f548599347c56a..6b80186ccad737ad377e84470448dfd89ab59857 100644
--- a/manifests/batches/goedel_workbook/000282.json
+++ b/manifests/batches/goedel_workbook/000282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000282",
   "batch_fingerprint": "d6bf78ff8f547e96e94c214c66542ae53a61cf9398c27a6bd266f781469db5e6",
   "evidence": {
@@ -244,29 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000282-0000-24cb79f65bc1e119.parquet",
-      "sha256": "24cb79f65bc1e119506f3e36824f56b03779de2df0d6d7fe6f51c86b19090464",
-      "bytes": 166019,
-      "rows": 35,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000282-0000-2ce62576bd052746.parquet",
-      "sha256": "2ce62576bd05274675aef92875c98f03e9fdff7400079b00394835ca1815fb5d",
-      "bytes": 30644,
-      "rows": 1,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000282-0000-01bdf9f2bff0f9cc.parquet",
-      "sha256": "01bdf9f2bff0f9cc50aa643ee8c3e09b6a2eee3346b963302854aeb298b1c9fc",
-      "bytes": 42849,
-      "rows": 4,
-      "revision": "f02da128230d17380950567a03a4b38ec81ca5ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3889",
     "goedel_workbook:lean_workbook_38894",
@@ -296,5 +273,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007069.lean\",\"c6ab9b1f80ea25399bf666e31a3c437c067f6d15d22434165ec2c73712ef481a\",0,\"lean_workbook_38970\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007070.lean\",\"2f3887648f3edc7d1044d2dc51aff74e9b958af51afcb4ca9809ffc4950eac88\",0,\"lean_workbook_38972\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007072.lean\",\"bf1b99e5c35bddc9a057f621140688c6a6f62ea0cbc98ae65be6ae38f90c3652\",0,\"lean_workbook_38975\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166019,
+      "path": "data/train/p82/goedel_workbook-000282-0000-24cb79f65bc1e119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "24cb79f65bc1e119506f3e36824f56b03779de2df0d6d7fe6f51c86b19090464"
+    },
+    {
+      "bytes": 30644,
+      "path": "data/dev/p82/goedel_workbook-000282-0000-2ce62576bd052746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2ce62576bd05274675aef92875c98f03e9fdff7400079b00394835ca1815fb5d"
+    },
+    {
+      "bytes": 42849,
+      "path": "data/internal_test/p82/goedel_workbook-000282-0000-01bdf9f2bff0f9cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "01bdf9f2bff0f9cc50aa643ee8c3e09b6a2eee3346b963302854aeb298b1c9fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000283.json b/manifests/batches/goedel_workbook/000283.json
index 92b4cbf376a6251aeed1a2bd82340790eff52291..682b19d1b18aad7382ca332d1faef57efc83fcad 100644
--- a/manifests/batches/goedel_workbook/000283.json
+++ b/manifests/batches/goedel_workbook/000283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000283",
   "batch_fingerprint": "68d3000720d8dc5e68bba6077ada20ac505d2e9916d9615b1068e40c34baf2a5",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000283-0000-b9dc09d6f6c84683.parquet",
-      "sha256": "b9dc09d6f6c846837639ffc6bce74a1f35756bc34c244ad7752593ea10d36c80",
-      "bytes": 80286,
-      "rows": 20,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000283-0000-d27a56e39867a16c.parquet",
-      "sha256": "d27a56e39867a16c3f821e5e630e7935f98a4cfb647afcfb6796a3dabb206305",
-      "bytes": 36259,
-      "rows": 3,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000283-0000-04c1c3364a0b0acd.parquet",
-      "sha256": "04c1c3364a0b0acd187642ba170ca356f0fab7e30729e1722fd1e2636dd0fb91",
-      "bytes": 49369,
-      "rows": 10,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_3900",
     "goedel_workbook:lean_workbook_39000",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007095.lean\",\"4903d43eac3479f140868d01282b141b46ffeb7da064aa185d4a847b8a3f2c5a\",0,\"lean_workbook_39078\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007097.lean\",\"065baae7d5e5aef906674b1e13639e8c9943b6c32ba251ae24f07a0ab88da9e0\",0,\"lean_workbook_39084\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007098.lean\",\"90e22d8663b56d037bfdc299a160bbca63130819744b851b79f1c8691bb21d59\",0,\"lean_workbook_3909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80286,
+      "path": "data/train/p7f/goedel_workbook-000283-0000-b9dc09d6f6c84683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "b9dc09d6f6c846837639ffc6bce74a1f35756bc34c244ad7752593ea10d36c80"
+    },
+    {
+      "bytes": 36259,
+      "path": "data/dev/p7f/goedel_workbook-000283-0000-d27a56e39867a16c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d27a56e39867a16c3f821e5e630e7935f98a4cfb647afcfb6796a3dabb206305"
+    },
+    {
+      "bytes": 49369,
+      "path": "data/internal_test/p7f/goedel_workbook-000283-0000-04c1c3364a0b0acd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "04c1c3364a0b0acd187642ba170ca356f0fab7e30729e1722fd1e2636dd0fb91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000284.json b/manifests/batches/goedel_workbook/000284.json
index 48bfda62983c3067124079222c791ff1fdfc264e..b435ca08ec945b84d615d16d63517120a67d8ae3 100644
--- a/manifests/batches/goedel_workbook/000284.json
+++ b/manifests/batches/goedel_workbook/000284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000284",
   "batch_fingerprint": "a9e41a4c54591309b5680ee30b3ad342a09efb926b40775a12dece731e4eb904",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000284-0000-0512f238a1658d58.parquet",
-      "sha256": "0512f238a1658d587cc92a42a2d5d0ae408d9cd484681ef00da6bf9c3c330b19",
-      "bytes": 215807,
-      "rows": 44,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000284-0000-affdd056d4371c0e.parquet",
-      "sha256": "affdd056d4371c0e6f2fab370a28fdb8bd50b2ec6872a42ad12d892c3e609346",
-      "bytes": 62434,
-      "rows": 5,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39094",
     "goedel_workbook:lean_workbook_39097",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007121.lean\",\"b39a80dfe2b36e5c9696d8edaba861c7dad6ce9ed6c5ffeafbb5b8ad5da03e2d\",0,\"lean_workbook_3917\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007123.lean\",\"f78dec01a15c2fb3b54e64d0c53b6f0d66cd9c0a10ecba44554547fa5b1cdced\",0,\"lean_workbook_39172\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007124.lean\",\"d9802b81e43a92878bac2a73abf45935f7d8600428eed806d9af7f357e488b3d\",0,\"lean_workbook_39173\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215807,
+      "path": "data/train/p3c/goedel_workbook-000284-0000-0512f238a1658d58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "0512f238a1658d587cc92a42a2d5d0ae408d9cd484681ef00da6bf9c3c330b19"
+    },
+    {
+      "bytes": 62434,
+      "path": "data/internal_test/p3c/goedel_workbook-000284-0000-affdd056d4371c0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "affdd056d4371c0e6f2fab370a28fdb8bd50b2ec6872a42ad12d892c3e609346"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000285.json b/manifests/batches/goedel_workbook/000285.json
index 595a02638c09f7e87e8ed5bd9682db69a78e6ad7..c3b47f3223787274cdd25358bf691c615c031c43 100644
--- a/manifests/batches/goedel_workbook/000285.json
+++ b/manifests/batches/goedel_workbook/000285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000285",
   "batch_fingerprint": "c5f0119add0d0c132f61433f5dffc4375d74f994401ba216abed2596eb9bbff3",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000285-0000-fdd92d6458596a90.parquet",
-      "sha256": "fdd92d6458596a90b793e14b54eae8126491fb9db82f0245f9819a46574d3192",
-      "bytes": 109804,
-      "rows": 26,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000285-0000-da01c2fc42462934.parquet",
-      "sha256": "da01c2fc42462934074b7937fcb20cd1cfe7299d03f659d10ef871a3edc6b8f3",
-      "bytes": 63679,
-      "rows": 8,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000285-0000-665a1698088741dd.parquet",
-      "sha256": "665a1698088741dd63ea2e720a222e9b568632b74347139e1d9e2dd80505b974",
-      "bytes": 29857,
-      "rows": 2,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39174",
     "goedel_workbook:lean_workbook_39177",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007145.lean\",\"c897863121d83b03e61e42fa1e000f814c50654968c3e801db512466e85c8cb7\",0,\"lean_workbook_39257\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007147.lean\",\"0a75e9c6b5878aba98c928d7112a3e76172100927129bdf2692c3653d8aa7f0f\",0,\"lean_workbook_39263\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007149.lean\",\"57a411e3fdb2e82458750c24238b159d44e53445f7939c8ac47868cf0f2b7810\",0,\"lean_workbook_39271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109804,
+      "path": "data/train/p1c/goedel_workbook-000285-0000-fdd92d6458596a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "fdd92d6458596a90b793e14b54eae8126491fb9db82f0245f9819a46574d3192"
+    },
+    {
+      "bytes": 63679,
+      "path": "data/dev/p1c/goedel_workbook-000285-0000-da01c2fc42462934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "da01c2fc42462934074b7937fcb20cd1cfe7299d03f659d10ef871a3edc6b8f3"
+    },
+    {
+      "bytes": 29857,
+      "path": "data/internal_test/p1c/goedel_workbook-000285-0000-665a1698088741dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "665a1698088741dd63ea2e720a222e9b568632b74347139e1d9e2dd80505b974"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000286.json b/manifests/batches/goedel_workbook/000286.json
index 017a74b3107b2ede716ede52769084f88ccd2fe7..8cf614bd23a6b1a34d29877938fbf204fbb7edfe 100644
--- a/manifests/batches/goedel_workbook/000286.json
+++ b/manifests/batches/goedel_workbook/000286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000286",
   "batch_fingerprint": "95ffac1593410267f717b7df55d702c2fbaf6cfa1133d04a4617dba925ba6eba",
   "evidence": {
@@ -218,15 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000286-0000-faddbffe2b54a012.parquet",
-      "sha256": "faddbffe2b54a012b76fd477353c693565170b8a57f6dab4c071fd11790d0661",
-      "bytes": 110646,
-      "rows": 29,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39283",
     "goedel_workbook:lean_workbook_39292",
@@ -258,5 +249,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007169.lean\",\"1892ef876bf7abea95003ea66deafa28bdbcd75b16378225ebb5d7656251ed0f\",0,\"lean_workbook_39351\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007172.lean\",\"c4e60cb44a4838c73fdc9dd69eed40f7c10be41641c5d5c58cb7ecd97e651bf2\",0,\"lean_workbook_39372\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007173.lean\",\"df51eb8a9d084228ca1c8fde08dde7bfb0a12a35ef505798038303dcbed4b6de\",0,\"lean_workbook_39373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110646,
+      "path": "data/train/p2a/goedel_workbook-000286-0000-faddbffe2b54a012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "faddbffe2b54a012b76fd477353c693565170b8a57f6dab4c071fd11790d0661"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000287.json b/manifests/batches/goedel_workbook/000287.json
index aceaa124786691db215ad9f9065515e3cf5b6fb2..1bc485c38ca2ce88a1318fc0634174db6f406c4c 100644
--- a/manifests/batches/goedel_workbook/000287.json
+++ b/manifests/batches/goedel_workbook/000287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000287",
   "batch_fingerprint": "f1472f8a41e45bbfee3eeacbde6b0e8314cb21ee4491e72e765789cdde0f5c10",
   "evidence": {
@@ -290,22 +289,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000287-0000-94058a3f530ddc49.parquet",
-      "sha256": "94058a3f530ddc494ec0b567688be29ed24d458171cdae4339d8f84b2b868d55",
-      "bytes": 104345,
-      "rows": 23,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000287-0000-d2eb616bdb27e166.parquet",
-      "sha256": "d2eb616bdb27e16664bdb7cb1b48a04dbf5426752e939f3b25acaa3a7b126447",
-      "bytes": 23079,
-      "rows": 1,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39389",
     "goedel_workbook:lean_workbook_39422",
@@ -329,5 +313,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007192.lean\",\"b073bd6066fb7af995646a3521ea66f13cf110f093958377a04193edd23edc70\",0,\"lean_workbook_39456\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007193.lean\",\"c8b55362be547cccbcc33c8c7e809c9b6f15b5d7393f38e88add5bafabf5202b\",0,\"lean_workbook_39470\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007196.lean\",\"4f4bf933bec2848a270c8039a581fece423dbf04432c72505cbb80c42e4bea82\",0,\"lean_workbook_39479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104345,
+      "path": "data/train/p16/goedel_workbook-000287-0000-94058a3f530ddc49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "94058a3f530ddc494ec0b567688be29ed24d458171cdae4339d8f84b2b868d55"
+    },
+    {
+      "bytes": 23079,
+      "path": "data/internal_test/p16/goedel_workbook-000287-0000-d2eb616bdb27e166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d2eb616bdb27e16664bdb7cb1b48a04dbf5426752e939f3b25acaa3a7b126447"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000288.json b/manifests/batches/goedel_workbook/000288.json
index b9ff51d6a0f9a2ed18d5c97de852c8b7b5fa6b56..ded900d74390e2d849b673b949846cf07bbdecbf 100644
--- a/manifests/batches/goedel_workbook/000288.json
+++ b/manifests/batches/goedel_workbook/000288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000288",
   "batch_fingerprint": "16465978a1630a6881efc6f8b7d8726747a50619b9cb0d4b19824f54e867f9e4",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000288-0000-d198cb38aa675c5f.parquet",
-      "sha256": "d198cb38aa675c5ffac804613b1da1172264216200d9d98b20b9e004c4c829d5",
-      "bytes": 122689,
-      "rows": 31,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000288-0000-8376c4adb642fca8.parquet",
-      "sha256": "8376c4adb642fca83eb843ba5447c7c45c154f5e862e68d2acf0f5ea41734366",
-      "bytes": 50006,
-      "rows": 5,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000288-0000-761f231f3af19825.parquet",
-      "sha256": "761f231f3af19825d17b01b297cdb1b07f9f3f50f3b38125eefa821f9764bea1",
-      "bytes": 35504,
-      "rows": 2,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39490",
     "goedel_workbook:lean_workbook_39515",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007222.lean\",\"c339b4caa71c6b04687585a82c1ecc1877fdb7a4f64a43972e1650c0197dd467\",0,\"lean_workbook_39616\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007223.lean\",\"3de8909f4b86a7bb8ea85563ee0c6050dda98c02724c17fd5702a3049e6d3006\",0,\"lean_workbook_39617\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007224.lean\",\"1432deb16e5e9c37d2c3a53767d85bdd13fd3df0d1af580e70f040566e364b78\",0,\"lean_workbook_39618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122689,
+      "path": "data/train/p1f/goedel_workbook-000288-0000-d198cb38aa675c5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d198cb38aa675c5ffac804613b1da1172264216200d9d98b20b9e004c4c829d5"
+    },
+    {
+      "bytes": 50006,
+      "path": "data/dev/p1f/goedel_workbook-000288-0000-8376c4adb642fca8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8376c4adb642fca83eb843ba5447c7c45c154f5e862e68d2acf0f5ea41734366"
+    },
+    {
+      "bytes": 35504,
+      "path": "data/internal_test/p1f/goedel_workbook-000288-0000-761f231f3af19825.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "761f231f3af19825d17b01b297cdb1b07f9f3f50f3b38125eefa821f9764bea1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000289.json b/manifests/batches/goedel_workbook/000289.json
index 31a9271dbc510ee55bbd5f841d3bceb6455a1bd8..377b069cfe607c278a41677f795fb468e49a9d31 100644
--- a/manifests/batches/goedel_workbook/000289.json
+++ b/manifests/batches/goedel_workbook/000289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000289",
   "batch_fingerprint": "66179a6ff15c3be04a1f1a0499e816313492040b63aabaffd359cf7ce4c5e7e8",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000289-0000-305469ac139c916d.parquet",
-      "sha256": "305469ac139c916d440966f586b6da968421dd8f524d353373cd02e504b9640e",
-      "bytes": 126756,
-      "rows": 30,
-      "revision": "342a21767e3ebfa2b8621bc6f4fea5877dcc1a9b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000289-0000-aa3d07205939b93d.parquet",
-      "sha256": "aa3d07205939b93de874cd469df910c3b04c4b72d0d574a887ae3b6e6c78e858",
-      "bytes": 44628,
-      "rows": 2,
-      "revision": "342a21767e3ebfa2b8621bc6f4fea5877dcc1a9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000289-0000-25ba9000eebab96e.parquet",
-      "sha256": "25ba9000eebab96ecdbd9225972eb761a5449588d71ef7b6d251098258b673db",
-      "bytes": 36460,
-      "rows": 2,
-      "revision": "342a21767e3ebfa2b8621bc6f4fea5877dcc1a9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39623",
     "goedel_workbook:lean_workbook_39627",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007243.lean\",\"d412ce8cb4c2191d3e78488f00660f4f1db4849870117837460b2e368fb16bce\",0,\"lean_workbook_39714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007246.lean\",\"6b50c7b0e0977d85d04ca966ef7229fd327af77661f10685d2207c84cab46ae5\",0,\"lean_workbook_39722\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007247.lean\",\"66b1352bc703be5e7f321765239fdf6e6d71f54a5a0d5f6a3d9a4095d75324b5\",0,\"lean_workbook_39724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126756,
+      "path": "data/train/p32/goedel_workbook-000289-0000-305469ac139c916d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "305469ac139c916d440966f586b6da968421dd8f524d353373cd02e504b9640e"
+    },
+    {
+      "bytes": 44628,
+      "path": "data/dev/p32/goedel_workbook-000289-0000-aa3d07205939b93d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aa3d07205939b93de874cd469df910c3b04c4b72d0d574a887ae3b6e6c78e858"
+    },
+    {
+      "bytes": 36460,
+      "path": "data/internal_test/p32/goedel_workbook-000289-0000-25ba9000eebab96e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "25ba9000eebab96ecdbd9225972eb761a5449588d71ef7b6d251098258b673db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000290.json b/manifests/batches/goedel_workbook/000290.json
index a68534a162dfc7aeed10ac640aad0f8be98ea08b..446b53a7ab0a95a84bee352a9bf378ddb199e50e 100644
--- a/manifests/batches/goedel_workbook/000290.json
+++ b/manifests/batches/goedel_workbook/000290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000290",
   "batch_fingerprint": "632210462e75425c484c02063121ff2d1b4f7279d0012b75d971163d0ab05ed1",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000290-0000-77f7d3c6b178e075.parquet",
-      "sha256": "77f7d3c6b178e075a24512e2602d24bc1451b964c29ffb29c7858b8d6161cf30",
-      "bytes": 99176,
-      "rows": 16,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000290-0000-b1daba29961f0f12.parquet",
-      "sha256": "b1daba29961f0f1263b6ce736faab2c3eb68ba549adafdb8bb51c52a87a8ba30",
-      "bytes": 27366,
-      "rows": 2,
-      "revision": "d3bdadb6fcdac1adac57d28fdb71dfc4f9e453e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39743",
     "goedel_workbook:lean_workbook_39748",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007268.lean\",\"a56a1b603a2215f0bfd5a013bfc2ef41bb6d15231e57b44801e5c59b5b4ea066\",0,\"lean_workbook_39825\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007270.lean\",\"1a306e7fd6af3a05352524370fe109374af169e10586c5ef78fa4180805b24d3\",0,\"lean_workbook_39834\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007273.lean\",\"6495150980f5c2f00c5a2123924d37c3618197b34be035f03815d504c9110ca0\",0,\"lean_workbook_39848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99176,
+      "path": "data/train/p31/goedel_workbook-000290-0000-77f7d3c6b178e075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "77f7d3c6b178e075a24512e2602d24bc1451b964c29ffb29c7858b8d6161cf30"
+    },
+    {
+      "bytes": 27366,
+      "path": "data/internal_test/p31/goedel_workbook-000290-0000-b1daba29961f0f12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b1daba29961f0f1263b6ce736faab2c3eb68ba549adafdb8bb51c52a87a8ba30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000291.json b/manifests/batches/goedel_workbook/000291.json
index b5a7e98d470cc21e4abbc989e656c33540508275..cbd11236c238d1c702bcc0566f675b3bdf68801b 100644
--- a/manifests/batches/goedel_workbook/000291.json
+++ b/manifests/batches/goedel_workbook/000291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000291",
   "batch_fingerprint": "0a4a6d6ddb063d2cd7627481ccdf8b2309ddabc2b359039d3e832d1e0aa9f90c",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000291-0000-b945161af4d58220.parquet",
-      "sha256": "b945161af4d58220f095fa47afecdb32ac2fa46d27eb38bdc983594180d4e34b",
-      "bytes": 177091,
-      "rows": 42,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000291-0000-28191cbbbb5ad48c.parquet",
-      "sha256": "28191cbbbb5ad48ce8e5af7d2ec574e8d091844ed97d2ce8223b6c243e41112e",
-      "bytes": 67016,
-      "rows": 11,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39872",
     "goedel_workbook:lean_workbook_39873",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007295.lean\",\"3c1b5c5a029280794a5666607091f5370e928bdc5ef02e434b0e28edc6507648\",0,\"lean_workbook_39959\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007298.lean\",\"9552161710fffe1ff627227d0a19b793fb0febe16e2ad65218a4762047af011d\",0,\"lean_workbook_39969\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007299.lean\",\"963295c35f0ac3ef2a63f2b4f92922b0722425f8991463a70c99d1cd05581be2\",0,\"lean_workbook_39970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177091,
+      "path": "data/train/ped/goedel_workbook-000291-0000-b945161af4d58220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b945161af4d58220f095fa47afecdb32ac2fa46d27eb38bdc983594180d4e34b"
+    },
+    {
+      "bytes": 67016,
+      "path": "data/internal_test/ped/goedel_workbook-000291-0000-28191cbbbb5ad48c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "28191cbbbb5ad48ce8e5af7d2ec574e8d091844ed97d2ce8223b6c243e41112e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000292.json b/manifests/batches/goedel_workbook/000292.json
index 683cc92309c8b9222684776c541d022680c4befb..3fd980e5962e53f78dde88e83a42914c9132b3dd 100644
--- a/manifests/batches/goedel_workbook/000292.json
+++ b/manifests/batches/goedel_workbook/000292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000292",
   "batch_fingerprint": "10dce75ec731777a967e4e1ce17ae7d3b2b08f1336ded42c98655a7521582e28",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000292-0000-df3c64bdcf3931bd.parquet",
-      "sha256": "df3c64bdcf3931bd026df006868029c6de99bb77dc6665f37fdcca0f6c1b2137",
-      "bytes": 266791,
-      "rows": 78,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000292-0000-4456d588473bdf07.parquet",
-      "sha256": "4456d588473bdf0777d68b241e7414db1bc960a8e7cab23a4d55a75b07792152",
-      "bytes": 119193,
-      "rows": 11,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_39980",
     "goedel_workbook:lean_workbook_39982",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007321.lean\",\"ccfdd688620d5ed87bfaa70e8922c42813db4e557a9efb2d6affe84edf5f2a29\",0,\"lean_workbook_40046\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007322.lean\",\"33c0ecf833f569fc036a24e5522c40f7f104138c2b6437d2a707b9e136e34cce\",0,\"lean_workbook_40047\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007324.lean\",\"2ed2045dec28a0f3fa73827728ac07f762b6946015f3319d8917722fd7d99cd1\",0,\"lean_workbook_40051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266791,
+      "path": "data/train/pff/goedel_workbook-000292-0000-df3c64bdcf3931bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 78,
+      "sha256": "df3c64bdcf3931bd026df006868029c6de99bb77dc6665f37fdcca0f6c1b2137"
+    },
+    {
+      "bytes": 119193,
+      "path": "data/internal_test/pff/goedel_workbook-000292-0000-4456d588473bdf07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4456d588473bdf0777d68b241e7414db1bc960a8e7cab23a4d55a75b07792152"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000293.json b/manifests/batches/goedel_workbook/000293.json
index e45a2d22fc66d5313aa0a2ddfe460992438e7c64..00666cd8b289ed70771327e1cd413c668d2b1d46 100644
--- a/manifests/batches/goedel_workbook/000293.json
+++ b/manifests/batches/goedel_workbook/000293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000293",
   "batch_fingerprint": "00d99a1db415a29ab122c24e0517448cb51b8d16f65cb2fead210402dbe45d07",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000293-0000-126e0126d0ed67c4.parquet",
-      "sha256": "126e0126d0ed67c42e3d62e22a969e2f76d1c8e903e09be4e3c5004cfb67a698",
-      "bytes": 81179,
-      "rows": 19,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000293-0000-48d791b0300b865a.parquet",
-      "sha256": "48d791b0300b865a9647fbf255c6c359880403e66e463038903bc14a9d7169b9",
-      "bytes": 35242,
-      "rows": 1,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000293-0000-45028b5265aa9f46.parquet",
-      "sha256": "45028b5265aa9f46d6d54c10012d5e731b17b63b97cdc7a19d7dccdb037d012a",
-      "bytes": 40344,
-      "rows": 3,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40060",
     "goedel_workbook:lean_workbook_40068",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007346.lean\",\"4588cae5620d9f8669cedc8303acf23bc1435d1900d710db765f390f4b02c8fe\",0,\"lean_workbook_40123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007347.lean\",\"f2283aefa452ae4ec3a17acbfaf0ffd199c1081df640aa71929a4b6eedb00a9a\",0,\"lean_workbook_40128\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007349.lean\",\"53c1ce63466fa2750f1755ce92c5d98f7a5d3d70d62ddde29331e74df9b09820\",0,\"lean_workbook_40138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81179,
+      "path": "data/train/p32/goedel_workbook-000293-0000-126e0126d0ed67c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "126e0126d0ed67c42e3d62e22a969e2f76d1c8e903e09be4e3c5004cfb67a698"
+    },
+    {
+      "bytes": 35242,
+      "path": "data/dev/p32/goedel_workbook-000293-0000-48d791b0300b865a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "48d791b0300b865a9647fbf255c6c359880403e66e463038903bc14a9d7169b9"
+    },
+    {
+      "bytes": 40344,
+      "path": "data/internal_test/p32/goedel_workbook-000293-0000-45028b5265aa9f46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "45028b5265aa9f46d6d54c10012d5e731b17b63b97cdc7a19d7dccdb037d012a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000294.json b/manifests/batches/goedel_workbook/000294.json
index addcfbc912abfe11f59947b5ab5caf9ba1b7b1af..bf365c5e16d103036a45d2fe3fe33db18818bbc1 100644
--- a/manifests/batches/goedel_workbook/000294.json
+++ b/manifests/batches/goedel_workbook/000294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000294",
   "batch_fingerprint": "f155b7c1fc16ca9d6a1d3150f69abb1d9102c1d5d0fc75cd8f61f57165cb444c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000294-0000-cf7a603dff2803d4.parquet",
-      "sha256": "cf7a603dff2803d4350b1305470a74d780c859c50aa3033ac94b69477a27c5e7",
-      "bytes": 149140,
-      "rows": 36,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000294-0000-8d210e4aaf183053.parquet",
-      "sha256": "8d210e4aaf1830538901b5f70d6169bc8beb820618744ed151963f0c3107b4e2",
-      "bytes": 58598,
-      "rows": 8,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40145",
     "goedel_workbook:lean_workbook_4016",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007368.lean\",\"c651290271a6cc943f8ead8e8f4eb186abeda004a4a9da3d02cd744118ebd7ec\",0,\"lean_workbook_4023\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007374.lean\",\"e3f57ed5c07760af77c9e049e96d9fa0c18b91f0098d7118514587cdc31d651a\",0,\"lean_workbook_40243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149140,
+      "path": "data/train/p34/goedel_workbook-000294-0000-cf7a603dff2803d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "cf7a603dff2803d4350b1305470a74d780c859c50aa3033ac94b69477a27c5e7"
+    },
+    {
+      "bytes": 58598,
+      "path": "data/internal_test/p34/goedel_workbook-000294-0000-8d210e4aaf183053.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8d210e4aaf1830538901b5f70d6169bc8beb820618744ed151963f0c3107b4e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000295.json b/manifests/batches/goedel_workbook/000295.json
index dc509cef692853961c3ea374ae679fa80ee22941..ecf49096b56964eca182def52397a768319cde16 100644
--- a/manifests/batches/goedel_workbook/000295.json
+++ b/manifests/batches/goedel_workbook/000295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000295",
   "batch_fingerprint": "773067f5947d6cb350019657ca731be600bbedfba35ec25de66aa7cd1c9c7c8e",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000295-0000-6f403d1f5fa5a5ac.parquet",
-      "sha256": "6f403d1f5fa5a5ac62184dae0c336e22b535676583d47da76b94b3d6d033dc0c",
-      "bytes": 101903,
-      "rows": 32,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000295-0000-e7c19ddd321defc0.parquet",
-      "sha256": "e7c19ddd321defc039b9f1361a416ccd4ccc8d611d0bff363170bf5526b5cd5c",
-      "bytes": 33477,
-      "rows": 2,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40244",
     "goedel_workbook:lean_workbook_40246",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007395.lean\",\"8334c48d2622bad44a4a9de4526dbc3e71c5192ce8553fe4ec0c70ef391b2530\",0,\"lean_workbook_40339\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007399.lean\",\"a2644dd900958226ad78814c358bf17c68e1450cd3f7fa2ee915ce2056dbcb3c\",0,\"lean_workbook_40359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101903,
+      "path": "data/train/p9d/goedel_workbook-000295-0000-6f403d1f5fa5a5ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "6f403d1f5fa5a5ac62184dae0c336e22b535676583d47da76b94b3d6d033dc0c"
+    },
+    {
+      "bytes": 33477,
+      "path": "data/dev/p9d/goedel_workbook-000295-0000-e7c19ddd321defc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e7c19ddd321defc039b9f1361a416ccd4ccc8d611d0bff363170bf5526b5cd5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000296.json b/manifests/batches/goedel_workbook/000296.json
index d7d2c221c5efcb8b7216446dea3c5aafed87b59b..8c78b838e793f2e403a41c4882afc820bc98dc43 100644
--- a/manifests/batches/goedel_workbook/000296.json
+++ b/manifests/batches/goedel_workbook/000296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000296",
   "batch_fingerprint": "ae114b560de1fce98c960e83a85b112933971f0cce79f977ad0587f6931f9d0a",
   "evidence": {
@@ -298,22 +297,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000296-0000-e9220cc9f075b69e.parquet",
-      "sha256": "e9220cc9f075b69e48d344dd9bc3ed5cf9418b883d4df54559356faa32acc4d8",
-      "bytes": 111211,
-      "rows": 31,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000296-0000-ce57c2e6cf3d82d4.parquet",
-      "sha256": "ce57c2e6cf3d82d438fa3d846540decd31365d48af36f170691eb316907f26a4",
-      "bytes": 62101,
-      "rows": 4,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4036",
     "goedel_workbook:lean_workbook_40361",
@@ -337,5 +321,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007419.lean\",\"63becdb001a1e72d000196598add610731e5a29cff3d0048a02a4f80dee2a1c1\",0,\"lean_workbook_40425\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007421.lean\",\"4e1147d7966395f1dd19566c01f36bb3053bcbbed5f7f4be440f788a82bed061\",0,\"lean_workbook_40427\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007423.lean\",\"107a5215250e360d233c439b47bfe33029f182503639e4b9e68e6d8366ab4f5e\",0,\"lean_workbook_40444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111211,
+      "path": "data/train/p05/goedel_workbook-000296-0000-e9220cc9f075b69e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e9220cc9f075b69e48d344dd9bc3ed5cf9418b883d4df54559356faa32acc4d8"
+    },
+    {
+      "bytes": 62101,
+      "path": "data/internal_test/p05/goedel_workbook-000296-0000-ce57c2e6cf3d82d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ce57c2e6cf3d82d438fa3d846540decd31365d48af36f170691eb316907f26a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000297.json b/manifests/batches/goedel_workbook/000297.json
index 90db0150fcf528f22b709739101215a1701726be..459222fb182b20781304c8c8e7f8cfb0df8c9edd 100644
--- a/manifests/batches/goedel_workbook/000297.json
+++ b/manifests/batches/goedel_workbook/000297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000297",
   "batch_fingerprint": "7e03f2d14604115a136d560906052a83fd6e9acf2751df6b461e90dc9c232979",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000297-0000-dbb23b8f4abb7e43.parquet",
-      "sha256": "dbb23b8f4abb7e43a8e2577b0b542a3df6f0c962c2e2f049d4906cbdcd5fc2d6",
-      "bytes": 180940,
-      "rows": 37,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000297-0000-1458678eb09386be.parquet",
-      "sha256": "1458678eb09386bef69931263e812834e9fdf615f762fa0f4d91c6e0697f4ee6",
-      "bytes": 60458,
-      "rows": 12,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40455",
     "goedel_workbook:lean_workbook_40464",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007447.lean\",\"b81855ac7119f78e3d4c5905b2b867c433416dd48131db90edcfa680c949d29d\",0,\"lean_workbook_40523\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007448.lean\",\"44381d4aed5e1e0f5aca5fdf535c0ddf3937d0dc8e25f8424b58eb326eebf8b9\",0,\"lean_workbook_40534\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007449.lean\",\"21901f1a8971a70f5e054e934db8af7d92b23cbe68e4477ac54227f451cc2e98\",0,\"lean_workbook_40536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180940,
+      "path": "data/train/p8a/goedel_workbook-000297-0000-dbb23b8f4abb7e43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "dbb23b8f4abb7e43a8e2577b0b542a3df6f0c962c2e2f049d4906cbdcd5fc2d6"
+    },
+    {
+      "bytes": 60458,
+      "path": "data/internal_test/p8a/goedel_workbook-000297-0000-1458678eb09386be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1458678eb09386bef69931263e812834e9fdf615f762fa0f4d91c6e0697f4ee6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000298.json b/manifests/batches/goedel_workbook/000298.json
index afeb341391c5a67e3b262450df67fbe39d4e42e6..c0699c0789001a3c6930a79e38973522971032ff 100644
--- a/manifests/batches/goedel_workbook/000298.json
+++ b/manifests/batches/goedel_workbook/000298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000298",
   "batch_fingerprint": "08280f7e3ec8d31f850c6c5023ffc42e505f32827587f9dbaa190f35d11257c9",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000298-0000-2b1791a68b1212ba.parquet",
-      "sha256": "2b1791a68b1212bac140933a56a13ae421931fde2f34bda26606abbd6991d4ca",
-      "bytes": 84450,
-      "rows": 22,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000298-0000-fa70ced36ea8b753.parquet",
-      "sha256": "fa70ced36ea8b753a6049d1569862ac11aecd951bc93e8acacfa92b7e9580b25",
-      "bytes": 50393,
-      "rows": 11,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000298-0000-49853f84158774e7.parquet",
-      "sha256": "49853f84158774e74f390896700854514dfad13f2c9f21a07d71b553f7d95fc6",
-      "bytes": 38449,
-      "rows": 6,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40542",
     "goedel_workbook:lean_workbook_40550",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007465.lean\",\"4904631cb6a87b003d788b9e081e7d8f0f55ef8008afa3333f0e297468d34d8d\",0,\"lean_workbook_4058\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007469.lean\",\"f4c010ad145594625d4f710e255b11067cf00603d9b2cdc6ff06ac669a2d32b3\",0,\"lean_workbook_40596\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007471.lean\",\"0c5f09ef7827f7b857c1f7976609aac2f3a2112be53f3e63e85593f9c17152b1\",0,\"lean_workbook_4060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84450,
+      "path": "data/train/p0f/goedel_workbook-000298-0000-2b1791a68b1212ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2b1791a68b1212bac140933a56a13ae421931fde2f34bda26606abbd6991d4ca"
+    },
+    {
+      "bytes": 50393,
+      "path": "data/dev/p0f/goedel_workbook-000298-0000-fa70ced36ea8b753.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fa70ced36ea8b753a6049d1569862ac11aecd951bc93e8acacfa92b7e9580b25"
+    },
+    {
+      "bytes": 38449,
+      "path": "data/internal_test/p0f/goedel_workbook-000298-0000-49853f84158774e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49853f84158774e74f390896700854514dfad13f2c9f21a07d71b553f7d95fc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000299.json b/manifests/batches/goedel_workbook/000299.json
index eafce5d17dd6f63e6f5d4188918b02c525d4d54c..0e25a5724a2431848ddb24d85b22e63381ff44af 100644
--- a/manifests/batches/goedel_workbook/000299.json
+++ b/manifests/batches/goedel_workbook/000299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000299",
   "batch_fingerprint": "34ee06a2a2fcde7ceb4a61b2a7a4a5435bcdd08e1fe9047b286f6035e5ff0c0f",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000299-0000-a7268c32f1049c19.parquet",
-      "sha256": "a7268c32f1049c19716860059f72901218a1a3d125958fdbbbaf87d143fad751",
-      "bytes": 168983,
-      "rows": 43,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000299-0000-b53328e414faeb29.parquet",
-      "sha256": "b53328e414faeb2915cc0760d27df0a278f344e131fa0254adc2699bd0eb9fd4",
-      "bytes": 37166,
-      "rows": 5,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000299-0000-a830b0ea9251b63c.parquet",
-      "sha256": "a830b0ea9251b63c9b06c7bf085ae8192444a95a8bd7b99cec99a6ee4b560f65",
-      "bytes": 25746,
-      "rows": 1,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40629",
     "goedel_workbook:lean_workbook_40633",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007491.lean\",\"a3518aa5ae08460e735385c76694de41ccd2f87eec49b6b544e45f2246b4231f\",0,\"lean_workbook_40673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007492.lean\",\"fb5a2f89013b41e5e9f4a02933e32cf186f20165f317463b02b7e77120773b43\",0,\"lean_workbook_40674\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007495.lean\",\"d56e502aff7d3e268cfd15b766311a186dd338e2164168830d4084f27b4b99ce\",0,\"lean_workbook_40685\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168983,
+      "path": "data/train/p1c/goedel_workbook-000299-0000-a7268c32f1049c19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "a7268c32f1049c19716860059f72901218a1a3d125958fdbbbaf87d143fad751"
+    },
+    {
+      "bytes": 37166,
+      "path": "data/dev/p1c/goedel_workbook-000299-0000-b53328e414faeb29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b53328e414faeb2915cc0760d27df0a278f344e131fa0254adc2699bd0eb9fd4"
+    },
+    {
+      "bytes": 25746,
+      "path": "data/internal_test/p1c/goedel_workbook-000299-0000-a830b0ea9251b63c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a830b0ea9251b63c9b06c7bf085ae8192444a95a8bd7b99cec99a6ee4b560f65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000300.json b/manifests/batches/goedel_workbook/000300.json
index 627a82dd7333ab933ec189f91a394d6d1912611b..ce1ee6f588fdc7cd80b15fa8a45b94763557b62c 100644
--- a/manifests/batches/goedel_workbook/000300.json
+++ b/manifests/batches/goedel_workbook/000300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000300",
   "batch_fingerprint": "2afd377ec8de6e5f70270d5e1c5a8db573aa7fd5baad5ec0cd6dbf4029dba1f2",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000300-0000-981ea3ed604c207d.parquet",
-      "sha256": "981ea3ed604c207d15f7e1cc3639748355ae974d276c20ff005aa62431fe5079",
-      "bytes": 140663,
-      "rows": 36,
-      "revision": "59aca50e2df86c6fe581f094aab6ea95f4a75e71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_407",
     "goedel_workbook:lean_workbook_4070",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007517.lean\",\"787eeee86bf652cea7b5c5a7ed4079aeb0099b34a9295d0487a1c1294f2bc6d8\",0,\"lean_workbook_4079\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007522.lean\",\"3bd1486a8992221f0abb7522ad0fafc982e81cea765b7c9dcf78260f99a87e0d\",0,\"lean_workbook_40822\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007524.lean\",\"038c34723dde0f44b4af362cc042772ce7fbee2a99d80775064b7fe7a168418c\",0,\"lean_workbook_40836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140663,
+      "path": "data/train/pa9/goedel_workbook-000300-0000-981ea3ed604c207d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "981ea3ed604c207d15f7e1cc3639748355ae974d276c20ff005aa62431fe5079"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000301.json b/manifests/batches/goedel_workbook/000301.json
index 348560d854b67626befa2d312adf0e7aca117ea9..81adb2d90552b349f43b0aff23f616b63e0514f5 100644
--- a/manifests/batches/goedel_workbook/000301.json
+++ b/manifests/batches/goedel_workbook/000301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000301",
   "batch_fingerprint": "044de20d13bfe5f90fbbbfb0713cce3bbcad9c233a145a0f3f9ffcc1b9ae3a50",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000301-0000-2f7ba1664ed80980.parquet",
-      "sha256": "2f7ba1664ed8098088bad5ea6bb473edbdd846f1f8fb49ebb299b1c1371abd95",
-      "bytes": 101090,
-      "rows": 30,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000301-0000-7e0e5234dbe85dac.parquet",
-      "sha256": "7e0e5234dbe85dac152d16557dfd07d6e643f734c5839777eb925e436f9a19e0",
-      "bytes": 30618,
-      "rows": 1,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000301-0000-e9021f22d1ed9fb1.parquet",
-      "sha256": "e9021f22d1ed9fb1eb6538d61e9be6e6b95719ace218ad5fd4e238a4fd9fbfd5",
-      "bytes": 44411,
-      "rows": 4,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40853",
     "goedel_workbook:lean_workbook_40863",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007546.lean\",\"096f1d36e59794d6d78782c49a1a0ac5b0709037ca1797b05404c840aa741a33\",0,\"lean_workbook_40943\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007549.lean\",\"2c2e4e29679688eeead2e35388ff46f6f05084fd6be68592da15d8a56c9e4528\",0,\"lean_workbook_40955\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101090,
+      "path": "data/train/p92/goedel_workbook-000301-0000-2f7ba1664ed80980.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "2f7ba1664ed8098088bad5ea6bb473edbdd846f1f8fb49ebb299b1c1371abd95"
+    },
+    {
+      "bytes": 30618,
+      "path": "data/dev/p92/goedel_workbook-000301-0000-7e0e5234dbe85dac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7e0e5234dbe85dac152d16557dfd07d6e643f734c5839777eb925e436f9a19e0"
+    },
+    {
+      "bytes": 44411,
+      "path": "data/internal_test/p92/goedel_workbook-000301-0000-e9021f22d1ed9fb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e9021f22d1ed9fb1eb6538d61e9be6e6b95719ace218ad5fd4e238a4fd9fbfd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000302.json b/manifests/batches/goedel_workbook/000302.json
index 6dad0ee0144596c749ef17fe1bf5cbea6cbaa11a..113668eafb58a400e384480fd9a6ac6618e08f0f 100644
--- a/manifests/batches/goedel_workbook/000302.json
+++ b/manifests/batches/goedel_workbook/000302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000302",
   "batch_fingerprint": "f84dc7f32c5562668169732b9925f0fc3ba7c5a751c6f062f7d6596f790e4fc4",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000302-0000-7e06520de1bd7776.parquet",
-      "sha256": "7e06520de1bd7776bc4b26094c450fc340ef762a7e1d1cf5514d94c5d9af5d60",
-      "bytes": 161739,
-      "rows": 38,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_40961",
     "goedel_workbook:lean_workbook_40974",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007569.lean\",\"3da2c6f41ff4bae5b3a716c429465d98b26bc11574fd4cba54b0497f654e58d4\",0,\"lean_workbook_41030\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007571.lean\",\"4dad7cb06394516f22216db544747e593f9e72dc8e79f0afa0381417ac8cf040\",0,\"lean_workbook_41048\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007572.lean\",\"fc3d234fc92664f1545bfe3afe24cdf71f3e97b369aa761cce8a9c2af744dd03\",0,\"lean_workbook_41051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161739,
+      "path": "data/train/p28/goedel_workbook-000302-0000-7e06520de1bd7776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "7e06520de1bd7776bc4b26094c450fc340ef762a7e1d1cf5514d94c5d9af5d60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000303.json b/manifests/batches/goedel_workbook/000303.json
index cb4613d0d0ffc862248f54e12b405f761d5a341e..4f4b82a7c5fa87c67ad890371e72dd39a09a96fc 100644
--- a/manifests/batches/goedel_workbook/000303.json
+++ b/manifests/batches/goedel_workbook/000303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000303",
   "batch_fingerprint": "9c48b801433835362d5ce79ad8194b432f99f23f4372b687c0673f3091109734",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000303-0000-20e29da8e97e9624.parquet",
-      "sha256": "20e29da8e97e96248dca6e3faf4f1bd7cc1beadfb2d7f78d22a55e0598796390",
-      "bytes": 98694,
-      "rows": 32,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000303-0000-0e98965d503003cb.parquet",
-      "sha256": "0e98965d503003cb669e5343ba73c750e67ff141658bebd243429cabce0c7b28",
-      "bytes": 32260,
-      "rows": 2,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000303-0000-52f71cc8bc80c764.parquet",
-      "sha256": "52f71cc8bc80c764a53a364ebd5ca9947a5b74977a39548f9dc0fc354062419a",
-      "bytes": 46799,
-      "rows": 7,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41060",
     "goedel_workbook:lean_workbook_41067",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007597.lean\",\"f1aa6871c897c52fc8e4e742422b17e28d9290d2d03834dcbe8b2c1db593b451\",0,\"lean_workbook_41143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007598.lean\",\"ef905ea51dc6195b956804ef002a846286235cc8da3caa5c3c0aaf8a94e51de2\",0,\"lean_workbook_41144\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007599.lean\",\"24542c37eb6fa7719ede362944fe60ce35dbf22bec57cc4e9980e7580ed27c80\",0,\"lean_workbook_41156\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98694,
+      "path": "data/train/p4d/goedel_workbook-000303-0000-20e29da8e97e9624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "20e29da8e97e96248dca6e3faf4f1bd7cc1beadfb2d7f78d22a55e0598796390"
+    },
+    {
+      "bytes": 32260,
+      "path": "data/dev/p4d/goedel_workbook-000303-0000-0e98965d503003cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e98965d503003cb669e5343ba73c750e67ff141658bebd243429cabce0c7b28"
+    },
+    {
+      "bytes": 46799,
+      "path": "data/internal_test/p4d/goedel_workbook-000303-0000-52f71cc8bc80c764.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "52f71cc8bc80c764a53a364ebd5ca9947a5b74977a39548f9dc0fc354062419a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000304.json b/manifests/batches/goedel_workbook/000304.json
index 5aad8236adcd4b537fc5d78505b1aaf1c0098c5e..1d15903ba4fff40dd9b835fc03229afad029eb8d 100644
--- a/manifests/batches/goedel_workbook/000304.json
+++ b/manifests/batches/goedel_workbook/000304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000304",
   "batch_fingerprint": "3b9f91a655056481fd2407ea55d86847fc6d172eaf28a2e2815db58e408bca6f",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000304-0000-35bdf49c9e83e8f4.parquet",
-      "sha256": "35bdf49c9e83e8f47f222633bd8f2d144d54697f13f8d459ccf95377cbc72076",
-      "bytes": 152969,
-      "rows": 39,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41164",
     "goedel_workbook:lean_workbook_41172",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007619.lean\",\"5c43e0b8f59a9a47ed84ec7eb8782eb36f3b53f6cd47782971448ad1e626f997\",0,\"lean_workbook_41226\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007620.lean\",\"a108bfd13e3228f1e1d039de0c36dd1ddd07e7e98c0ff38b21c977aff3caba99\",0,\"lean_workbook_41229\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007623.lean\",\"8499e438e4079f3cc3a692c1f9c0f01db050c1ea56ab1dfb8bf7770ba9a105b3\",0,\"lean_workbook_4124\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152969,
+      "path": "data/train/p19/goedel_workbook-000304-0000-35bdf49c9e83e8f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "35bdf49c9e83e8f47f222633bd8f2d144d54697f13f8d459ccf95377cbc72076"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000305.json b/manifests/batches/goedel_workbook/000305.json
index e91b99f65b7c18e07e592a77db8b3032e994b37f..3665cc05025ff47bec51a68ab08c3cf168aa81eb 100644
--- a/manifests/batches/goedel_workbook/000305.json
+++ b/manifests/batches/goedel_workbook/000305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000305",
   "batch_fingerprint": "4e3a39af19dd605dde17a4597c5f9c343c8a93962c306bcf5eb49bb9de26867e",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000305-0000-c91828ed833a48fb.parquet",
-      "sha256": "c91828ed833a48fb7471a0a512b2e2f859f13674922dea4cdc104385ea240251",
-      "bytes": 143700,
-      "rows": 37,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000305-0000-cb7b11d07ae1b925.parquet",
-      "sha256": "cb7b11d07ae1b925e3fc7a527277ae9b728157e8df8b0ecf15aa624b8df18041",
-      "bytes": 55002,
-      "rows": 9,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000305-0000-0cc1c79a840346d1.parquet",
-      "sha256": "0cc1c79a840346d1e1686ed8f824630f36f339e9cb049a9a5352f362bc39a53e",
-      "bytes": 35025,
-      "rows": 4,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4125",
     "goedel_workbook:lean_workbook_41255",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007644.lean\",\"08ea4f6f16181ece21c50a21f640637dbcb4eff3a966ff0896bcdfc60874b8e3\",0,\"lean_workbook_41334\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007645.lean\",\"f62315295e1bcccbb8db791140566202cb1c30f64c6ec93c51625744521d0ca9\",0,\"lean_workbook_4134\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007648.lean\",\"23a2ce0cc74edc1cb2a429b6e9233cc20b5e62b1a9d0e44316e70f085075b877\",0,\"lean_workbook_41364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143700,
+      "path": "data/train/p60/goedel_workbook-000305-0000-c91828ed833a48fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c91828ed833a48fb7471a0a512b2e2f859f13674922dea4cdc104385ea240251"
+    },
+    {
+      "bytes": 55002,
+      "path": "data/dev/p60/goedel_workbook-000305-0000-cb7b11d07ae1b925.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cb7b11d07ae1b925e3fc7a527277ae9b728157e8df8b0ecf15aa624b8df18041"
+    },
+    {
+      "bytes": 35025,
+      "path": "data/internal_test/p60/goedel_workbook-000305-0000-0cc1c79a840346d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0cc1c79a840346d1e1686ed8f824630f36f339e9cb049a9a5352f362bc39a53e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000306.json b/manifests/batches/goedel_workbook/000306.json
index 106488ca34a0c2e8d8b88ad4d81730c215517bf1..12e82f1b2114eaf5801c8de44f23e864dc52173c 100644
--- a/manifests/batches/goedel_workbook/000306.json
+++ b/manifests/batches/goedel_workbook/000306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000306",
   "batch_fingerprint": "141aa2aee80400deb309bc2fd311980e0a499afd9322b6fe30b54c4add064e17",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000306-0000-b2168ceb311cf620.parquet",
-      "sha256": "b2168ceb311cf620a8ac41e505442dbdb2805523a3333a5ed29f48052e051497",
-      "bytes": 98066,
-      "rows": 24,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000306-0000-f03893efcd7e6ff8.parquet",
-      "sha256": "f03893efcd7e6ff8c5ca231f25b2968541037700c81add53c549c3ce176587aa",
-      "bytes": 29002,
-      "rows": 1,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000306-0000-6b1d14a4ab7ec2b6.parquet",
-      "sha256": "6b1d14a4ab7ec2b62dafd2071889ecab2649bce4d217ddb96cbabef1a613f8a0",
-      "bytes": 57468,
-      "rows": 9,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41384",
     "goedel_workbook:lean_workbook_41390",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007670.lean\",\"e1e79c01c655800b8774c871f71048b314471526ffa17dbc1d9fde0eb343e10c\",0,\"lean_workbook_41455\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007673.lean\",\"5c28cd101c67b3dbe3a1a1df588d340cafb8c69edb5ef41d5d7c63132334806e\",0,\"lean_workbook_41474\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007674.lean\",\"b09c7f6073e8a2746af526c55be11de27476aed1b7f62a5c505a2fce1ebec8d3\",0,\"lean_workbook_41480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98066,
+      "path": "data/train/p95/goedel_workbook-000306-0000-b2168ceb311cf620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b2168ceb311cf620a8ac41e505442dbdb2805523a3333a5ed29f48052e051497"
+    },
+    {
+      "bytes": 29002,
+      "path": "data/dev/p95/goedel_workbook-000306-0000-f03893efcd7e6ff8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f03893efcd7e6ff8c5ca231f25b2968541037700c81add53c549c3ce176587aa"
+    },
+    {
+      "bytes": 57468,
+      "path": "data/internal_test/p95/goedel_workbook-000306-0000-6b1d14a4ab7ec2b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6b1d14a4ab7ec2b62dafd2071889ecab2649bce4d217ddb96cbabef1a613f8a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000307.json b/manifests/batches/goedel_workbook/000307.json
index e0fb81bb4b2158c783f3779b16247f172609d145..1875255d0f0a2ebdc60c0cae17663c6a7ff9a3c9 100644
--- a/manifests/batches/goedel_workbook/000307.json
+++ b/manifests/batches/goedel_workbook/000307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000307",
   "batch_fingerprint": "fdabb79b8ca85b082d3830bf273096840727264133711babf9c2fd73d20c5a59",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000307-0000-3c4e78b9d082f87f.parquet",
-      "sha256": "3c4e78b9d082f87f76fd0bbc68215b64510f67b32979176787a4936bb521a0de",
-      "bytes": 71368,
-      "rows": 11,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000307-0000-a086d68dbc14573e.parquet",
-      "sha256": "a086d68dbc14573e02e9221a8889ac9333a7a213d466e217594ab31fddf222c5",
-      "bytes": 30952,
-      "rows": 2,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000307-0000-2cb47336b357396c.parquet",
-      "sha256": "2cb47336b357396cda1e768f18cdcee65549398b575d4a77baef8a990a911337",
-      "bytes": 39712,
-      "rows": 3,
-      "revision": "c206f996be8e7271fdcbf46bf60bbb59e8a74b63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41489",
     "goedel_workbook:lean_workbook_4149",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007688.lean\",\"d07d75f6e2c6881b0324358277f56de480c02ceded773ad47ca7596dff610e7e\",0,\"lean_workbook_41537\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007697.lean\",\"b0fe16e538bb291850203b56239ccba8648260ed84deefd922fc79b340cf7ca3\",0,\"lean_workbook_41573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007699.lean\",\"4d48efae92be24c317862330b01f71371356a59d3df85781a8d86a9a90c152da\",0,\"lean_workbook_41576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71368,
+      "path": "data/train/p49/goedel_workbook-000307-0000-3c4e78b9d082f87f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3c4e78b9d082f87f76fd0bbc68215b64510f67b32979176787a4936bb521a0de"
+    },
+    {
+      "bytes": 30952,
+      "path": "data/dev/p49/goedel_workbook-000307-0000-a086d68dbc14573e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a086d68dbc14573e02e9221a8889ac9333a7a213d466e217594ab31fddf222c5"
+    },
+    {
+      "bytes": 39712,
+      "path": "data/internal_test/p49/goedel_workbook-000307-0000-2cb47336b357396c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2cb47336b357396cda1e768f18cdcee65549398b575d4a77baef8a990a911337"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000308.json b/manifests/batches/goedel_workbook/000308.json
index cf03747f0f82af9fd2584f1db3dbfe6fe2afa97f..82401096366e2042e807868bebe929c14550b502 100644
--- a/manifests/batches/goedel_workbook/000308.json
+++ b/manifests/batches/goedel_workbook/000308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000308",
   "batch_fingerprint": "b41d9c81de8fe1968aa1598e43d08ef350b818576817758a2c9dc08bd2aaaa37",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000308-0000-224d919b4978fc58.parquet",
-      "sha256": "224d919b4978fc58248c57b36f4f95171aeec63ceb2ce24777f325b8d241ecc6",
-      "bytes": 143446,
-      "rows": 32,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000308-0000-b783906e5447c28a.parquet",
-      "sha256": "b783906e5447c28abe46b41a56f885a3aaac6c1d9de380cab18b367e35421e9d",
-      "bytes": 26814,
-      "rows": 2,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000308-0000-8c840311e2796e4f.parquet",
-      "sha256": "8c840311e2796e4fbf895b0b798813506a4a6c4ecf47f0bebd02297475f43f7e",
-      "bytes": 62561,
-      "rows": 8,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41589",
     "goedel_workbook:lean_workbook_41594",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007720.lean\",\"c54f9bc1d74448f6afd732c91835ec758179c7392e16a32a2b9a26f215097cbd\",0,\"lean_workbook_41665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007721.lean\",\"495a777de4062aa50d567278a6ab251780cef023bd7787067a12d57e6dfcb5fa\",0,\"lean_workbook_41667\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007722.lean\",\"567a5fa79785fb887df191c585ec524bafdc16df7384697dc79fdcb12b38df62\",0,\"lean_workbook_41668\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143446,
+      "path": "data/train/p18/goedel_workbook-000308-0000-224d919b4978fc58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "224d919b4978fc58248c57b36f4f95171aeec63ceb2ce24777f325b8d241ecc6"
+    },
+    {
+      "bytes": 26814,
+      "path": "data/dev/p18/goedel_workbook-000308-0000-b783906e5447c28a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b783906e5447c28abe46b41a56f885a3aaac6c1d9de380cab18b367e35421e9d"
+    },
+    {
+      "bytes": 62561,
+      "path": "data/internal_test/p18/goedel_workbook-000308-0000-8c840311e2796e4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8c840311e2796e4fbf895b0b798813506a4a6c4ecf47f0bebd02297475f43f7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000309.json b/manifests/batches/goedel_workbook/000309.json
index cc1c8e64f18d735fd3f8626cd60b659a3ff3c49e..9517ef490aa03f17052aa4a89419a76cb9b38839 100644
--- a/manifests/batches/goedel_workbook/000309.json
+++ b/manifests/batches/goedel_workbook/000309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000309",
   "batch_fingerprint": "9f39a2c721f073bc931a1585e033f255126255f3a794db09d6b369cc055cf838",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000309-0000-acbe2c2120e064df.parquet",
-      "sha256": "acbe2c2120e064df060691aee8a614387a99e4a7e0615d1991762a97d709363d",
-      "bytes": 93414,
-      "rows": 29,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000309-0000-eebfb38fc62db9c4.parquet",
-      "sha256": "eebfb38fc62db9c461a4cf11a26ae36a9437b9bb54c676f9f4045504ed15d66a",
-      "bytes": 40490,
-      "rows": 5,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4168",
     "goedel_workbook:lean_workbook_41687",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007747.lean\",\"0cb7ed1dec45ee3ebdce628aa78c1d095d0ae20baec6e1ca307375dd9ab26322\",0,\"lean_workbook_41766\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007748.lean\",\"a59a5533a3b900582de93e246d14572f3155f320697337e3c12b0f26c638c17d\",0,\"lean_workbook_41768\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007749.lean\",\"fa4203f2e1aac9eb6d9d560656bc5a7b86255ff209603fba7f19b2c0884a8837\",0,\"lean_workbook_41777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93414,
+      "path": "data/train/p1e/goedel_workbook-000309-0000-acbe2c2120e064df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "acbe2c2120e064df060691aee8a614387a99e4a7e0615d1991762a97d709363d"
+    },
+    {
+      "bytes": 40490,
+      "path": "data/dev/p1e/goedel_workbook-000309-0000-eebfb38fc62db9c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "eebfb38fc62db9c461a4cf11a26ae36a9437b9bb54c676f9f4045504ed15d66a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000310.json b/manifests/batches/goedel_workbook/000310.json
index 1e9d4dc312e86cd9e37192ec90a39b7703cb3850..82c791c5efa8b8c8681aa8fdacb9b776581418c5 100644
--- a/manifests/batches/goedel_workbook/000310.json
+++ b/manifests/batches/goedel_workbook/000310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000310",
   "batch_fingerprint": "db1cad56495b5591a8406056118fc4998fa15cbc1000daa581379f29b0101b08",
   "evidence": {
@@ -307,15 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000310-0000-cb4a76448321cfb3.parquet",
-      "sha256": "cb4a76448321cfb3d93f743066cc13c2830c36f17632a7d135ebdfca47c1102b",
-      "bytes": 154099,
-      "rows": 41,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41779",
     "goedel_workbook:lean_workbook_41784",
@@ -337,5 +328,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007765.lean\",\"a21344d514ec463bc3c91b098deaf79c0e8b42ae37c69a562404fb794d8f2504\",0,\"lean_workbook_41848\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007768.lean\",\"3e6fd5a0d8971180c90177bb773e4891f0137a62aaaebe6b2957ff71665acdcb\",0,\"lean_workbook_41861\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007772.lean\",\"42e03d373593b1c6e0edda365a6e5afa87da5e753d00910bd9d2bbb2561c3951\",0,\"lean_workbook_41876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154099,
+      "path": "data/train/p48/goedel_workbook-000310-0000-cb4a76448321cfb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "cb4a76448321cfb3d93f743066cc13c2830c36f17632a7d135ebdfca47c1102b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000311.json b/manifests/batches/goedel_workbook/000311.json
index 8a4b21e75ebe919b650fae6ee5e42c9dd29395cb..eb206245cc5c24521516c09e389440f4b2250f93 100644
--- a/manifests/batches/goedel_workbook/000311.json
+++ b/manifests/batches/goedel_workbook/000311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000311",
   "batch_fingerprint": "b80e91ee4037b1dc200bda77caf06f4f6344ab0fe630daa6e509ca049315c909",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000311-0000-54031659ae0f02d7.parquet",
-      "sha256": "54031659ae0f02d78fada57d5baf915c6a74b83ccc478477fc9c28ea20fffbd9",
-      "bytes": 167986,
-      "rows": 34,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000311-0000-d6053ef2869629fb.parquet",
-      "sha256": "d6053ef2869629fb01e4a1526126666af5283b975d0800a8419d1c6e94afe9d7",
-      "bytes": 56308,
-      "rows": 9,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000311-0000-1473216bd1a0c511.parquet",
-      "sha256": "1473216bd1a0c5114727ac896e8ae1ef95dd234f0744f1bf881ae39fc33b78fa",
-      "bytes": 43656,
-      "rows": 3,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4190",
     "goedel_workbook:lean_workbook_41900",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007795.lean\",\"12d89d596456220b0883332dc5dfdd921b03468c42ef43c57acb6e87e765ebf3\",0,\"lean_workbook_41978\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007797.lean\",\"5058b4d0f54f191d3c09bc98660073f6a86c6088c2192274151961a23f928a7f\",0,\"lean_workbook_4198\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007798.lean\",\"b4cd775cc848254f6bb51fd721b6fe4e0ecf6f5608da4fdb38015f846d4bf0b3\",0,\"lean_workbook_41982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167986,
+      "path": "data/train/pc6/goedel_workbook-000311-0000-54031659ae0f02d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "54031659ae0f02d78fada57d5baf915c6a74b83ccc478477fc9c28ea20fffbd9"
+    },
+    {
+      "bytes": 56308,
+      "path": "data/dev/pc6/goedel_workbook-000311-0000-d6053ef2869629fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d6053ef2869629fb01e4a1526126666af5283b975d0800a8419d1c6e94afe9d7"
+    },
+    {
+      "bytes": 43656,
+      "path": "data/internal_test/pc6/goedel_workbook-000311-0000-1473216bd1a0c511.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1473216bd1a0c5114727ac896e8ae1ef95dd234f0744f1bf881ae39fc33b78fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000312.json b/manifests/batches/goedel_workbook/000312.json
index c83dd0b2d2a7daa173a1f320df215dac545fe7ff..6b050805ab63d39bc2c89e60daad55efe522ad06 100644
--- a/manifests/batches/goedel_workbook/000312.json
+++ b/manifests/batches/goedel_workbook/000312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000312",
   "batch_fingerprint": "63fd95468df99271cedc381c21c6675c7ff137527b0013a099c17f778c19c0c0",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000312-0000-45c88c930bd7a3b4.parquet",
-      "sha256": "45c88c930bd7a3b4eb84b0960620dc28be2197043ebe1c70603bef408068c9ea",
-      "bytes": 178650,
-      "rows": 38,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000312-0000-eb42e0b0ffffa62d.parquet",
-      "sha256": "eb42e0b0ffffa62d6c03c76ce373deb47045cda534026339ca873c3e2c5b3ede",
-      "bytes": 57780,
-      "rows": 8,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_41990",
     "goedel_workbook:lean_workbook_41994",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007822.lean\",\"c12691fd7018c8a7cfc5df511f286c7568ce875ab57ad52b64aa7742476ac102\",0,\"lean_workbook_42061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007823.lean\",\"8f9dffb5776570153758ea9f807b060bd80dd0717e675d1e5bfcf6eb39c0377f\",0,\"lean_workbook_42083\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007824.lean\",\"dfd1fe758f109ad02019edd3a8ea7c2847e13f78a910c72af6ce43ed4fa9dfd3\",0,\"lean_workbook_42097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178650,
+      "path": "data/train/p68/goedel_workbook-000312-0000-45c88c930bd7a3b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "45c88c930bd7a3b4eb84b0960620dc28be2197043ebe1c70603bef408068c9ea"
+    },
+    {
+      "bytes": 57780,
+      "path": "data/internal_test/p68/goedel_workbook-000312-0000-eb42e0b0ffffa62d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eb42e0b0ffffa62d6c03c76ce373deb47045cda534026339ca873c3e2c5b3ede"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000313.json b/manifests/batches/goedel_workbook/000313.json
index 4095b1b61e3051926a2775ac6e138872e933d8ad..67ddce1cdb4f594b391d945c67c82fc526d06908 100644
--- a/manifests/batches/goedel_workbook/000313.json
+++ b/manifests/batches/goedel_workbook/000313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000313",
   "batch_fingerprint": "e9a4e41e2af04ae951d62490fb6bf12c93eff6a57903f2b29ada3be00a45c8f4",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000313-0000-f7875e0b63fddf6b.parquet",
-      "sha256": "f7875e0b63fddf6b10c2ffac07a129b276bb9fb51d3052f87e46436b315606a9",
-      "bytes": 253963,
-      "rows": 45,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000313-0000-48b0eda07c79d468.parquet",
-      "sha256": "48b0eda07c79d46834b3629fb8b26cf773bf74ce92ed0fed63fc09546fcd82bc",
-      "bytes": 32953,
-      "rows": 1,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42098",
     "goedel_workbook:lean_workbook_4210",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007844.lean\",\"6dd94e912c05d1e192b2d94916461739a4bc65e18b41bf8d5e1e7074515b438e\",0,\"lean_workbook_42195\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007848.lean\",\"2133acca50f4920213d1820f06564dc4ded4c5a680a0077d8a163795d4a622c7\",0,\"lean_workbook_42216\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007849.lean\",\"1d48f4687e5b3b8495a9b1f93c4321328b5b5cc514e0e3d42077ed1afa616987\",0,\"lean_workbook_42221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253963,
+      "path": "data/train/p07/goedel_workbook-000313-0000-f7875e0b63fddf6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "f7875e0b63fddf6b10c2ffac07a129b276bb9fb51d3052f87e46436b315606a9"
+    },
+    {
+      "bytes": 32953,
+      "path": "data/internal_test/p07/goedel_workbook-000313-0000-48b0eda07c79d468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "48b0eda07c79d46834b3629fb8b26cf773bf74ce92ed0fed63fc09546fcd82bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000314.json b/manifests/batches/goedel_workbook/000314.json
index 76d3b207ea6fd072493862683318166224244f73..d638414dc95aacf4a8696bcabda2bd3bad9146b8 100644
--- a/manifests/batches/goedel_workbook/000314.json
+++ b/manifests/batches/goedel_workbook/000314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000314",
   "batch_fingerprint": "e1e544d518c3d74c7cf65e8fd76f145a9bc1190eeac76f4d11d1955f8001e111",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000314-0000-034063c28a95ec90.parquet",
-      "sha256": "034063c28a95ec9022e9799641bfa8f2ac98ae671ebc45afeaae623b70f11b66",
-      "bytes": 172509,
-      "rows": 42,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000314-0000-1f1d4799166cc4cf.parquet",
-      "sha256": "1f1d4799166cc4cf5160b26adb1b3afa89b2bdb9f69a29a8386e23db1c1ec490",
-      "bytes": 49710,
-      "rows": 9,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42233",
     "goedel_workbook:lean_workbook_42236",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007870.lean\",\"584d89def307891809620501907d08f17b5a3387000fb733a745c58b8c40e357\",0,\"lean_workbook_42321\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007872.lean\",\"9aef38a765925c0dd91413d4792560468a8b630b2ba0eab0221b130da871b7a1\",0,\"lean_workbook_42334\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007874.lean\",\"788a1afeefb426efdc72a369c615a8197b9d62ad7e47c2803eca8f6f7d0d7302\",0,\"lean_workbook_42339\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172509,
+      "path": "data/train/p60/goedel_workbook-000314-0000-034063c28a95ec90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "034063c28a95ec9022e9799641bfa8f2ac98ae671ebc45afeaae623b70f11b66"
+    },
+    {
+      "bytes": 49710,
+      "path": "data/dev/p60/goedel_workbook-000314-0000-1f1d4799166cc4cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1f1d4799166cc4cf5160b26adb1b3afa89b2bdb9f69a29a8386e23db1c1ec490"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000315.json b/manifests/batches/goedel_workbook/000315.json
index c9625140ec66134b2bed4e6a8331f99e5c581339..94b9e2547f9453fc76069c45b601604442a65106 100644
--- a/manifests/batches/goedel_workbook/000315.json
+++ b/manifests/batches/goedel_workbook/000315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000315",
   "batch_fingerprint": "ed4b9ee8ad2b647e84c662e6480326375a294903067afbc943985ed9f6fa7303",
   "evidence": {
@@ -300,15 +299,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000315-0000-4d25305864a116d2.parquet",
-      "sha256": "4d25305864a116d26c09f72e3661c83504646669faf135de70e8610877589d76",
-      "bytes": 101997,
-      "rows": 23,
-      "revision": "c126e0d57153b4932a7da88cb9dcf3073e521712"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42343",
     "goedel_workbook:lean_workbook_42362",
@@ -332,5 +323,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007896.lean\",\"dc061e4fffa3797bb934d665ccec28f467b1ec74f1b2a9f64c858ab9121828d4\",0,\"lean_workbook_42412\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007897.lean\",\"7ae730581bbfc477b53277adef3af24c650eac7924330822dd0c096ced4b53dc\",0,\"lean_workbook_42415\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007899.lean\",\"e6460464641555c6e7a65397758c826eaa4217019175d4426a4adb3f5555a464\",0,\"lean_workbook_42428\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101997,
+      "path": "data/train/p8c/goedel_workbook-000315-0000-4d25305864a116d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "4d25305864a116d26c09f72e3661c83504646669faf135de70e8610877589d76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000316.json b/manifests/batches/goedel_workbook/000316.json
index 7e97101f6d7359c8852326d8a907c9718a23737b..aba0debcb385332afa6c2b0a8fa678abc8681b5f 100644
--- a/manifests/batches/goedel_workbook/000316.json
+++ b/manifests/batches/goedel_workbook/000316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000316",
   "batch_fingerprint": "bbb40b5c8b99ab47cb8257c219e72113f26cb4dbfd18253caf8eb01d00233dc3",
   "evidence": {
@@ -272,22 +271,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000316-0000-55b1f71e28784363.parquet",
-      "sha256": "55b1f71e287843639024953a9f5d52d77de64224157da575608b8cf370ea8a8b",
-      "bytes": 103804,
-      "rows": 26,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000316-0000-9797aa117a779c74.parquet",
-      "sha256": "9797aa117a779c747c3b3c17123d5a2f22b51ef407a817599306fa4b181c5257",
-      "bytes": 38285,
-      "rows": 3,
-      "revision": "4c804146b3bc7ca110c4a437696accf3dce87422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42432",
     "goedel_workbook:lean_workbook_4244",
@@ -313,5 +297,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007918.lean\",\"60d7a64a9e2b211905d185b03aec65cde82c261f79f59935fe408e7f86634a69\",0,\"lean_workbook_42516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007920.lean\",\"a67f4aa2b81b7c812a231519fd2f83db8bba1da5786239dc1724232de610c493\",0,\"lean_workbook_42528\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007923.lean\",\"c2f06ab3f3922a7b45508e65ce86aaea78a23107068b04fd575b36e7dd868f0b\",0,\"lean_workbook_42539\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103804,
+      "path": "data/train/pdd/goedel_workbook-000316-0000-55b1f71e28784363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "55b1f71e287843639024953a9f5d52d77de64224157da575608b8cf370ea8a8b"
+    },
+    {
+      "bytes": 38285,
+      "path": "data/dev/pdd/goedel_workbook-000316-0000-9797aa117a779c74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9797aa117a779c747c3b3c17123d5a2f22b51ef407a817599306fa4b181c5257"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000317.json b/manifests/batches/goedel_workbook/000317.json
index 4b5de37395f5da236cff8541f8f91ef681caa911..bc8f16cc7eb8fa165b934f0f4793f911c19c25df 100644
--- a/manifests/batches/goedel_workbook/000317.json
+++ b/manifests/batches/goedel_workbook/000317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000317",
   "batch_fingerprint": "27ffdd7c2255fc8085695f125838d770df9105ec85f50090c3a77162139aa94c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000317-0000-61d61e4be376fe60.parquet",
-      "sha256": "61d61e4be376fe60214cf63f93f4841068b8e1722ac6f46f2f3e73802fd1c8c0",
-      "bytes": 119064,
-      "rows": 18,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000317-0000-2118202755625d92.parquet",
-      "sha256": "2118202755625d927d9abbc11699eaef5d2dd14f712ffe7f2ed30bcc224ccb29",
-      "bytes": 72246,
-      "rows": 7,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42566",
     "goedel_workbook:lean_workbook_4257",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007945.lean\",\"d1f6260b55d59848e839da53ce03211beb5a1d9af7d414908b4d14622ddb0985\",0,\"lean_workbook_42664\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007946.lean\",\"47fc16f3e0bd695d89bfb4532768c3f2a728d5493bc86451a01552ba68758f4b\",0,\"lean_workbook_42665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007948.lean\",\"ac6467204d9fcb3ddb44cea779992f80f47b9aeab28836b000efe4d016afb13c\",0,\"lean_workbook_4267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119064,
+      "path": "data/train/p5f/goedel_workbook-000317-0000-61d61e4be376fe60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "61d61e4be376fe60214cf63f93f4841068b8e1722ac6f46f2f3e73802fd1c8c0"
+    },
+    {
+      "bytes": 72246,
+      "path": "data/internal_test/p5f/goedel_workbook-000317-0000-2118202755625d92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2118202755625d927d9abbc11699eaef5d2dd14f712ffe7f2ed30bcc224ccb29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000318.json b/manifests/batches/goedel_workbook/000318.json
index 4a5823d3664456d854c4acba37a6aaa381f70c70..b6dbe62126ac1795a073709a3872dd8bb866e695 100644
--- a/manifests/batches/goedel_workbook/000318.json
+++ b/manifests/batches/goedel_workbook/000318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000318",
   "batch_fingerprint": "aed3dea22e2ed590c663aa2d67d6f86e95dde9567b90ed541c45d21475736017",
   "evidence": {
@@ -182,29 +181,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000318-0000-0d84b0f25ded1431.parquet",
-      "sha256": "0d84b0f25ded14318f855e959df4f92a563026bf9c1bbe1086f96c84515d38ef",
-      "bytes": 135599,
-      "rows": 36,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000318-0000-1329a544f5f32fba.parquet",
-      "sha256": "1329a544f5f32fba49c4f9f1999366cc457fe841b74306e07da7cb0722afe28e",
-      "bytes": 47457,
-      "rows": 6,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000318-0000-a4b4c1f0e3e9c153.parquet",
-      "sha256": "a4b4c1f0e3e9c153584db6c96cd26ffdd56c1f5afe8d695979bf59910e3141a9",
-      "bytes": 54776,
-      "rows": 10,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4268",
     "goedel_workbook:lean_workbook_4269",
@@ -240,5 +217,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007971.lean\",\"b16d8e3f2ba1c12aa80f77a6a8c008bac1fa010c3ebf61796a01c5f8883e3d32\",0,\"lean_workbook_42758\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007972.lean\",\"fa21da5f0614e09551a9b37c482db53d1810e1a0b27c11e471de40512f6b3e9d\",0,\"lean_workbook_42760\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007973.lean\",\"3a93a8625e37f24a1a27e552782d2611aaf0b4ca272a2af2bc57bcfa90f962bd\",0,\"lean_workbook_42763\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135599,
+      "path": "data/train/pac/goedel_workbook-000318-0000-0d84b0f25ded1431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "0d84b0f25ded14318f855e959df4f92a563026bf9c1bbe1086f96c84515d38ef"
+    },
+    {
+      "bytes": 47457,
+      "path": "data/dev/pac/goedel_workbook-000318-0000-1329a544f5f32fba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1329a544f5f32fba49c4f9f1999366cc457fe841b74306e07da7cb0722afe28e"
+    },
+    {
+      "bytes": 54776,
+      "path": "data/internal_test/pac/goedel_workbook-000318-0000-a4b4c1f0e3e9c153.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a4b4c1f0e3e9c153584db6c96cd26ffdd56c1f5afe8d695979bf59910e3141a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000319.json b/manifests/batches/goedel_workbook/000319.json
index b17930b58d22b864358f54cbadd5d475edaba8d7..483d766da2c66a7479bede40eb064df39a8afa22 100644
--- a/manifests/batches/goedel_workbook/000319.json
+++ b/manifests/batches/goedel_workbook/000319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000319",
   "batch_fingerprint": "554a1c2de34fb7ea79de1d711367725756d99c8eff61522474739eab1f8bfe2f",
   "evidence": {
@@ -173,22 +172,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000319-0000-3690106082c19bc8.parquet",
-      "sha256": "3690106082c19bc8487740c0d4c5d06418231c42c4b6cf956de43f83a234469e",
-      "bytes": 218447,
-      "rows": 42,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000319-0000-398ff9aa1ee5eb1d.parquet",
-      "sha256": "398ff9aa1ee5eb1d4e45ffc16dffcddffa0e90f1bd8b1177e41f8a66b281a343",
-      "bytes": 27635,
-      "rows": 1,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42772",
     "goedel_workbook:lean_workbook_4278",
@@ -226,5 +210,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007993.lean\",\"808872d16e251a5ebb7c970d67c3ee2f803a3d922b38c4fda418199e51c82e40\",0,\"lean_workbook_42840\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007994.lean\",\"15331b066751b94a5c0c0bd4da653ec628b3e8ec2fea3277046a62ffff3c998e\",0,\"lean_workbook_42841\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_007998.lean\",\"d3e805626ab29f6001a9a7e9d88b28074fb3cbe7c4b4c55aeaf5ff1d3b44c4da\",0,\"lean_workbook_42867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218447,
+      "path": "data/train/p54/goedel_workbook-000319-0000-3690106082c19bc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "3690106082c19bc8487740c0d4c5d06418231c42c4b6cf956de43f83a234469e"
+    },
+    {
+      "bytes": 27635,
+      "path": "data/dev/p54/goedel_workbook-000319-0000-398ff9aa1ee5eb1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "398ff9aa1ee5eb1d4e45ffc16dffcddffa0e90f1bd8b1177e41f8a66b281a343"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000320.json b/manifests/batches/goedel_workbook/000320.json
index e2ffb6d7563812505f8a95abc2da914b61cd3275..2d01c534418037072b7f2426088e69f49e90453a 100644
--- a/manifests/batches/goedel_workbook/000320.json
+++ b/manifests/batches/goedel_workbook/000320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000320",
   "batch_fingerprint": "72b9da567a965be90a15f4e9a0f200924d9fecaa0bdd65a11c33296e1452081b",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000320-0000-222a94438f1c4eb3.parquet",
-      "sha256": "222a94438f1c4eb3777f69476972d48ba55078e8c1acb54b70dd06bf7298192f",
-      "bytes": 97640,
-      "rows": 22,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000320-0000-78f313235565de29.parquet",
-      "sha256": "78f313235565de29941c8e876c5be42211aeff4195f105d67daa418133124c54",
-      "bytes": 36435,
-      "rows": 4,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42879",
     "goedel_workbook:lean_workbook_42881",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008022.lean\",\"97cc8a59ab926dc75b55ae778a010f6480763b37915813a9c73d28d85e25678f\",0,\"lean_workbook_42964\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008023.lean\",\"7700ecda54e1411bd2451b163945b7ae14e4f1e5c51f682ff0102e3bcc1077d5\",0,\"lean_workbook_42974\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008024.lean\",\"a291418b9008a223e1a42f5e1d5660e253c928e393e1af419d2184b625a5ebb4\",0,\"lean_workbook_42979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97640,
+      "path": "data/train/p44/goedel_workbook-000320-0000-222a94438f1c4eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "222a94438f1c4eb3777f69476972d48ba55078e8c1acb54b70dd06bf7298192f"
+    },
+    {
+      "bytes": 36435,
+      "path": "data/internal_test/p44/goedel_workbook-000320-0000-78f313235565de29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "78f313235565de29941c8e876c5be42211aeff4195f105d67daa418133124c54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000321.json b/manifests/batches/goedel_workbook/000321.json
index ba3da6f964274c5b3a90b7117375d3e284fb6de2..fcb5d93da5771097f3b9aa8d899a2bc19034839d 100644
--- a/manifests/batches/goedel_workbook/000321.json
+++ b/manifests/batches/goedel_workbook/000321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000321",
   "batch_fingerprint": "8a590c7bbcb8b1c514fad9ccc4a5b842dfe50cd113bd4c605698a3278b38e7d6",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000321-0000-7e00ce1eb1e1eac0.parquet",
-      "sha256": "7e00ce1eb1e1eac0ccb8106b07941331cfb9448b4c80a2beb42878b198466d79",
-      "bytes": 169593,
-      "rows": 49,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000321-0000-84202bb0725db16a.parquet",
-      "sha256": "84202bb0725db16a6998332bcc95ee201068ced934d24225d7536cc8d24c411b",
-      "bytes": 31066,
-      "rows": 1,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_42990",
     "goedel_workbook:lean_workbook_42991",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008043.lean\",\"0d157d8f832be01bd0029889e19613c38434adeb17784da1c158e9eabb53ca8d\",0,\"lean_workbook_43048\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008044.lean\",\"ff1e6fd1d3065b7ec5a6e7ea81237c03d389768d366af1fd986a0a1b860bd98b\",0,\"lean_workbook_43052\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008046.lean\",\"3e35a59c28cf9d6d43809ee4993ad3d859a81293079a2695fa8c83560ece891f\",0,\"lean_workbook_43075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169593,
+      "path": "data/train/p1f/goedel_workbook-000321-0000-7e00ce1eb1e1eac0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "7e00ce1eb1e1eac0ccb8106b07941331cfb9448b4c80a2beb42878b198466d79"
+    },
+    {
+      "bytes": 31066,
+      "path": "data/internal_test/p1f/goedel_workbook-000321-0000-84202bb0725db16a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "84202bb0725db16a6998332bcc95ee201068ced934d24225d7536cc8d24c411b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000322.json b/manifests/batches/goedel_workbook/000322.json
index a75afc273332357015f6b3fb1e5f05c39adefe75..8c1939ecf89d9b071857c0cf6832edb8e8288207 100644
--- a/manifests/batches/goedel_workbook/000322.json
+++ b/manifests/batches/goedel_workbook/000322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000322",
   "batch_fingerprint": "158e7857d67888540145988d1ef0e90730b183c9f3eac75ee141c6c6a472399a",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000322-0000-7d7b45d5ef99ac43.parquet",
-      "sha256": "7d7b45d5ef99ac4358e05fbd24ea8eddf7a152a7ee46a27422ff8be815a9ecb5",
-      "bytes": 95958,
-      "rows": 23,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000322-0000-8b184f39b54bb0bb.parquet",
-      "sha256": "8b184f39b54bb0bb0c93769020b02d018ae950dc5ae718948d5babe97bad4e6d",
-      "bytes": 40701,
-      "rows": 2,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000322-0000-fa2f1cb23aa6d5e7.parquet",
-      "sha256": "fa2f1cb23aa6d5e7ddc6d87cda4ed556a510486dcab6c9a0c2343e1dad843792",
-      "bytes": 26088,
-      "rows": 1,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43092",
     "goedel_workbook:lean_workbook_43095",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008071.lean\",\"199f979fe7044afe682f9ea2a33d4704a0c61d763b75eb03390634db320f10e8\",0,\"lean_workbook_43174\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008072.lean\",\"b2038c5246e94bc36d41d1f5da930b672b572c662833ccbdd826d8f37df3129e\",0,\"lean_workbook_43175\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008073.lean\",\"67468e94dc07e8aa03d955fea9e7ae170e6b293e975f772c6daad6b050394ec2\",0,\"lean_workbook_43177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95958,
+      "path": "data/train/p7e/goedel_workbook-000322-0000-7d7b45d5ef99ac43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7d7b45d5ef99ac4358e05fbd24ea8eddf7a152a7ee46a27422ff8be815a9ecb5"
+    },
+    {
+      "bytes": 40701,
+      "path": "data/dev/p7e/goedel_workbook-000322-0000-8b184f39b54bb0bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8b184f39b54bb0bb0c93769020b02d018ae950dc5ae718948d5babe97bad4e6d"
+    },
+    {
+      "bytes": 26088,
+      "path": "data/internal_test/p7e/goedel_workbook-000322-0000-fa2f1cb23aa6d5e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa2f1cb23aa6d5e7ddc6d87cda4ed556a510486dcab6c9a0c2343e1dad843792"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000323.json b/manifests/batches/goedel_workbook/000323.json
index 429d4da6474ff54b6b52949fc13a1ab5cffb2b3a..0befaa1c87edde1720be957585258a6346c78293 100644
--- a/manifests/batches/goedel_workbook/000323.json
+++ b/manifests/batches/goedel_workbook/000323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000323",
   "batch_fingerprint": "4b1218fb439da37f5b0203ade01e0e450c60c0f748aeef272bcceebbc4d17794",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000323-0000-fa7bf7b94079614b.parquet",
-      "sha256": "fa7bf7b94079614b7165f2bdb102f912b6724984946f763e377de857d92c5d95",
-      "bytes": 169880,
-      "rows": 35,
-      "revision": "a65424ad279531283132071e68b75e31dbd345a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43215",
     "goedel_workbook:lean_workbook_43226",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008094.lean\",\"8a4f8e9a8baa9b2c0c251c0848d271cc6a906395507c8c3518f3bc1a005f09a6\",0,\"lean_workbook_43282\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008095.lean\",\"e67870dfa51bef8bd6a0931da8a9192562f62b4197c2e3468dc6291ebd55dc45\",0,\"lean_workbook_43285\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008099.lean\",\"652a7a2ce2ac50748b790763b940111fa50c4beaca33938c2e9f15fb28a8ed5b\",0,\"lean_workbook_43302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169880,
+      "path": "data/train/pc2/goedel_workbook-000323-0000-fa7bf7b94079614b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "fa7bf7b94079614b7165f2bdb102f912b6724984946f763e377de857d92c5d95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000324.json b/manifests/batches/goedel_workbook/000324.json
index 14a81b9a5282d99fbe18526b176df760e4a07d96..4abb1cd778f190e937b80830e3ea2a50e5cb9a89 100644
--- a/manifests/batches/goedel_workbook/000324.json
+++ b/manifests/batches/goedel_workbook/000324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000324",
   "batch_fingerprint": "b4e23cdca45fd802e00ea23d849f9b34c4d2d17e9add7a4a927488ba2ff6c22b",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000324-0000-3ee35ebfbe61bae7.parquet",
-      "sha256": "3ee35ebfbe61bae718afb090ec19c7c29d5c455c4d0253b6027c29e7e5d9eac4",
-      "bytes": 144226,
-      "rows": 35,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000324-0000-1a5018edca8e9a4a.parquet",
-      "sha256": "1a5018edca8e9a4aab369afeda9e7987cf338a99cd29b85da22737a9b7979c47",
-      "bytes": 37967,
-      "rows": 3,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4331",
     "goedel_workbook:lean_workbook_43318",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008121.lean\",\"24363e2e2d2019cc768649b34002882c26bf228dcb64e5f772e01c7da9a8a371\",0,\"lean_workbook_43409\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008122.lean\",\"7316465d682709e85a6bf0ea86e8d53570ae809f3edd32d9a86bfaa3f04cfc97\",0,\"lean_workbook_43410\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008123.lean\",\"e6d088a5c197d6f92cf68ccefb76cc47333083f8f2e413816686c387f124d4cb\",0,\"lean_workbook_43413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144226,
+      "path": "data/train/p01/goedel_workbook-000324-0000-3ee35ebfbe61bae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "3ee35ebfbe61bae718afb090ec19c7c29d5c455c4d0253b6027c29e7e5d9eac4"
+    },
+    {
+      "bytes": 37967,
+      "path": "data/dev/p01/goedel_workbook-000324-0000-1a5018edca8e9a4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1a5018edca8e9a4aab369afeda9e7987cf338a99cd29b85da22737a9b7979c47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000325.json b/manifests/batches/goedel_workbook/000325.json
index a3bb2174d63e5e6ab4f94baf55afce19ee90a163..2a5f222854651fb67cd97823b1d34323d1d1d9f2 100644
--- a/manifests/batches/goedel_workbook/000325.json
+++ b/manifests/batches/goedel_workbook/000325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000325",
   "batch_fingerprint": "fe2fc7cfff331063f0768b9bf20e205888e9c2d438b19a20b1b0baf11d60accf",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000325-0000-d53027088e765146.parquet",
-      "sha256": "d53027088e765146b917af8e50cc175a6b15937f65c9fd9fe5d94058d0cb82f3",
-      "bytes": 99081,
-      "rows": 31,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43445",
     "goedel_workbook:lean_workbook_43446",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008145.lean\",\"b9940ee2efc1afebcc396473385bcdfe2a4d418a8fe84ecc2bb6e5c6263ddeca\",0,\"lean_workbook_43500\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008147.lean\",\"f655bcdbf271243b66e7a3200435b87650287b8f69a077999cce95636b4cad92\",0,\"lean_workbook_43507\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008148.lean\",\"647b5ffce872a7c984f186ecc5afa94e4cc097932d0415df2d635167edf9dd38\",0,\"lean_workbook_43508\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99081,
+      "path": "data/train/p4a/goedel_workbook-000325-0000-d53027088e765146.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d53027088e765146b917af8e50cc175a6b15937f65c9fd9fe5d94058d0cb82f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000326.json b/manifests/batches/goedel_workbook/000326.json
index dc1ed9b1b3b30a46bc25b06757b1b560ef296330..8963bd49850735e197ac49bf734cb267571bfba5 100644
--- a/manifests/batches/goedel_workbook/000326.json
+++ b/manifests/batches/goedel_workbook/000326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000326",
   "batch_fingerprint": "9005462e50a151d02754a635e0f59e17915a6129ca5463b816425bf386d47ae1",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000326-0000-d9d4fda4786ae749.parquet",
-      "sha256": "d9d4fda4786ae74928ac2f515784f999a1520de75f784c686757c4cfdde0b4d2",
-      "bytes": 191995,
-      "rows": 36,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000326-0000-d3d605c65e73aaca.parquet",
-      "sha256": "d3d605c65e73aacac066b7ca93fd0fc06799312a164bd7cd889bef032571bd9e",
-      "bytes": 34210,
-      "rows": 2,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000326-0000-69646f1d41e46f14.parquet",
-      "sha256": "69646f1d41e46f14e95e1895fb503672df34175431dd9be447826f66f38bfda5",
-      "bytes": 49520,
-      "rows": 7,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43516",
     "goedel_workbook:lean_workbook_43517",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008170.lean\",\"552ce70d890079459da2a514eb9c2e1de1c497d23f12ccb4cd8dcfc649e1953d\",0,\"lean_workbook_43591\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008173.lean\",\"0b04000142f95713376af4e52773a1fa63a0423363532813fa86dbb1cbec57c6\",0,\"lean_workbook_436\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008174.lean\",\"651586951eee857e3de58cc25af5099ce6672bb4288e1f663e48891c0a9e626b\",0,\"lean_workbook_43601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191995,
+      "path": "data/train/p9a/goedel_workbook-000326-0000-d9d4fda4786ae749.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "d9d4fda4786ae74928ac2f515784f999a1520de75f784c686757c4cfdde0b4d2"
+    },
+    {
+      "bytes": 34210,
+      "path": "data/dev/p9a/goedel_workbook-000326-0000-d3d605c65e73aaca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d3d605c65e73aacac066b7ca93fd0fc06799312a164bd7cd889bef032571bd9e"
+    },
+    {
+      "bytes": 49520,
+      "path": "data/internal_test/p9a/goedel_workbook-000326-0000-69646f1d41e46f14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "69646f1d41e46f14e95e1895fb503672df34175431dd9be447826f66f38bfda5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000327.json b/manifests/batches/goedel_workbook/000327.json
index 39c067a2c0aaea29348ffa3986b48fbe6034f3ad..498d07cbbf9559855422ec8260222e25ebe2cd47 100644
--- a/manifests/batches/goedel_workbook/000327.json
+++ b/manifests/batches/goedel_workbook/000327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000327",
   "batch_fingerprint": "0c2b3a830177369ca982492f485a878571a250c0efad47e0409f324b52987781",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000327-0000-d22abfd13878f791.parquet",
-      "sha256": "d22abfd13878f791b354957ac94cc01f70f1f1953ca575280802f4287f1bc3eb",
-      "bytes": 97312,
-      "rows": 24,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000327-0000-6f95c3323e87fd7b.parquet",
-      "sha256": "6f95c3323e87fd7bbe8eb664502dc4152226009506f343a60445571161d49136",
-      "bytes": 34013,
-      "rows": 1,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000327-0000-f8e67c70a42f58f1.parquet",
-      "sha256": "f8e67c70a42f58f1a9b140261a89d5d93668a8654914c61ec86a5aed990a60e0",
-      "bytes": 44333,
-      "rows": 7,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43607",
     "goedel_workbook:lean_workbook_43610",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008197.lean\",\"515b2a5c9c10fe274f748f2910f64106c8c344cf2310db9baa16959a7948efeb\",0,\"lean_workbook_43729\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008198.lean\",\"895c5fb7ed9b5570dfbd00a8caa53d80d34fd9cc4a146b62174f6a9fc23f21a6\",0,\"lean_workbook_4373\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008199.lean\",\"6cc54e97cbcc511cbfa10449e40b2f56c8c195464b461c5f631bc11187368f60\",0,\"lean_workbook_43732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97312,
+      "path": "data/train/p61/goedel_workbook-000327-0000-d22abfd13878f791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d22abfd13878f791b354957ac94cc01f70f1f1953ca575280802f4287f1bc3eb"
+    },
+    {
+      "bytes": 34013,
+      "path": "data/dev/p61/goedel_workbook-000327-0000-6f95c3323e87fd7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6f95c3323e87fd7bbe8eb664502dc4152226009506f343a60445571161d49136"
+    },
+    {
+      "bytes": 44333,
+      "path": "data/internal_test/p61/goedel_workbook-000327-0000-f8e67c70a42f58f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f8e67c70a42f58f1a9b140261a89d5d93668a8654914c61ec86a5aed990a60e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000328.json b/manifests/batches/goedel_workbook/000328.json
index acc09d7dfc7cb366efe6126945865de807b22eb6..dffa5ac923c05847597d845b10b30812c1bd4c4c 100644
--- a/manifests/batches/goedel_workbook/000328.json
+++ b/manifests/batches/goedel_workbook/000328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000328",
   "batch_fingerprint": "56a181b76f5fffe960f4a09f4d5aa006be149a426593f929c9c0367a3651610a",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000328-0000-be4b53dcc275a9eb.parquet",
-      "sha256": "be4b53dcc275a9eb1217dbdbfced62a1d3e9b47b472706298c1fa1663ec8ee43",
-      "bytes": 78814,
-      "rows": 22,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000328-0000-a910406cafe88b5b.parquet",
-      "sha256": "a910406cafe88b5bdaef5fa63cdbba02d82c9abc8de772e61943ad847f050c3c",
-      "bytes": 49920,
-      "rows": 4,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43733",
     "goedel_workbook:lean_workbook_43734",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008220.lean\",\"18b9760f9da9ef9e0eeca4d18b60a104a9e2bef118f38f8e89d615c0bcb8d04c\",0,\"lean_workbook_43783\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008221.lean\",\"cd357de0ba7f3ed1d9d034cd47eab3340b4a4f3167496b4a1127becedf19171f\",0,\"lean_workbook_4379\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008223.lean\",\"d0f6450659dff3aa61fc711c9801a2da7625c59629f5c408a793ce174c8dc622\",0,\"lean_workbook_4380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78814,
+      "path": "data/train/p96/goedel_workbook-000328-0000-be4b53dcc275a9eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "be4b53dcc275a9eb1217dbdbfced62a1d3e9b47b472706298c1fa1663ec8ee43"
+    },
+    {
+      "bytes": 49920,
+      "path": "data/internal_test/p96/goedel_workbook-000328-0000-a910406cafe88b5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a910406cafe88b5bdaef5fa63cdbba02d82c9abc8de772e61943ad847f050c3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000329.json b/manifests/batches/goedel_workbook/000329.json
index 9bcbf3bb6f86f96a31197bfe34baf9a065be9fa9..09e46651dd51f7fd72a048d4bc8e46583e14cd33 100644
--- a/manifests/batches/goedel_workbook/000329.json
+++ b/manifests/batches/goedel_workbook/000329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000329",
   "batch_fingerprint": "83ce54bac3973ab9932dc061aad6e49900029001124dbf45ed2b74ee4a24e639",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000329-0000-ae1e4adaba4a3bc3.parquet",
-      "sha256": "ae1e4adaba4a3bc3bf9e40a352c39ca77308d4bf788820109426621a4f3f3a71",
-      "bytes": 122874,
-      "rows": 31,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000329-0000-70c9760a40fab9bc.parquet",
-      "sha256": "70c9760a40fab9bc7b4b11102f05c396492a7fabbca4f3b8a33b2a728d98a84e",
-      "bytes": 87964,
-      "rows": 7,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000329-0000-b841f23719439278.parquet",
-      "sha256": "b841f237194392780111f50fb2ff69fffeb7f444fdbba1ba6a12bcb86a802c67",
-      "bytes": 42314,
-      "rows": 6,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43820",
     "goedel_workbook:lean_workbook_43834",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008247.lean\",\"4972d260b938b3cb40e7e33295a0a324c52e042340d1538f348e24e21cc6ccdb\",0,\"lean_workbook_43896\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008248.lean\",\"5e5cf985ecc9563446b5eca1b7c332b73548021eb454cb75ea8902206049aef0\",0,\"lean_workbook_43897\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008249.lean\",\"513b43b6e2e871438fc42c099cb9167113ad903a1028425a7e922399f367f61b\",0,\"lean_workbook_43898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122874,
+      "path": "data/train/pfc/goedel_workbook-000329-0000-ae1e4adaba4a3bc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "ae1e4adaba4a3bc3bf9e40a352c39ca77308d4bf788820109426621a4f3f3a71"
+    },
+    {
+      "bytes": 87964,
+      "path": "data/dev/pfc/goedel_workbook-000329-0000-70c9760a40fab9bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "70c9760a40fab9bc7b4b11102f05c396492a7fabbca4f3b8a33b2a728d98a84e"
+    },
+    {
+      "bytes": 42314,
+      "path": "data/internal_test/pfc/goedel_workbook-000329-0000-b841f23719439278.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b841f237194392780111f50fb2ff69fffeb7f444fdbba1ba6a12bcb86a802c67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000330.json b/manifests/batches/goedel_workbook/000330.json
index 5dcfd5133794ad7bc8b50d07d97528214ee495fd..c71b5d01b691bbb24c34f499c60a9a92236abe07 100644
--- a/manifests/batches/goedel_workbook/000330.json
+++ b/manifests/batches/goedel_workbook/000330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000330",
   "batch_fingerprint": "62185ba0c430a2fc8de21dd89e11f50e8bec0806a146b2d95c067b3792b1073e",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000330-0000-36f16a68a551f8ff.parquet",
-      "sha256": "36f16a68a551f8ffb4bd1dce941b6c4142483897abf25f62b742990c6d89b08d",
-      "bytes": 397461,
-      "rows": 58,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000330-0000-939314c5c6259fe3.parquet",
-      "sha256": "939314c5c6259fe356fbf8d2cf9fd9b7e86f7857f1d2cb6c62aa90a483fc54fd",
-      "bytes": 35583,
-      "rows": 2,
-      "revision": "9cc70fe8300f77bb14a39e6c28aef02dbd01ec88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43899",
     "goedel_workbook:lean_workbook_43901",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008263.lean\",\"a47d5330545e256a8abd39131c859201087eeb92f8e288a8bbc73bd67a51477b\",0,\"lean_workbook_4395\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008265.lean\",\"4f2baeb11b07183711beb84224777e8af9437e9e6e32e9ede86854680df6bb7b\",0,\"lean_workbook_43951\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008266.lean\",\"b5a26f0b1cd56cdd91d1d3acca6a274035e311a834c43020accc8674d53e6ce5\",0,\"lean_workbook_43953\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397461,
+      "path": "data/train/p55/goedel_workbook-000330-0000-36f16a68a551f8ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "36f16a68a551f8ffb4bd1dce941b6c4142483897abf25f62b742990c6d89b08d"
+    },
+    {
+      "bytes": 35583,
+      "path": "data/internal_test/p55/goedel_workbook-000330-0000-939314c5c6259fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "939314c5c6259fe356fbf8d2cf9fd9b7e86f7857f1d2cb6c62aa90a483fc54fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000331.json b/manifests/batches/goedel_workbook/000331.json
index 8e8e5cb8319d83456118bab972a632944a9a99c0..6096a7d237926336b535f1c9697aa708fd5feb22 100644
--- a/manifests/batches/goedel_workbook/000331.json
+++ b/manifests/batches/goedel_workbook/000331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000331",
   "batch_fingerprint": "9b4ba8d7fe49d8a91c7d30c57cf776c1d61a44962e0c3bcc2d1d966f7f3c89e1",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000331-0000-ef470f42e0589afe.parquet",
-      "sha256": "ef470f42e0589afe15367d6ff1b547534523c85f662829b008c2ce25578d4bf5",
-      "bytes": 124243,
-      "rows": 29,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000331-0000-3bd5afbc4771265d.parquet",
-      "sha256": "3bd5afbc4771265daf1be02105f4ca143851246cc9c7bbfaed6c90f6103641d6",
-      "bytes": 34413,
-      "rows": 1,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000331-0000-c5ab4c7aac16fce9.parquet",
-      "sha256": "c5ab4c7aac16fce9e7e21317dc9b3b0831252096145d39ea972febddd4e33491",
-      "bytes": 35027,
-      "rows": 2,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_43998",
     "goedel_workbook:lean_workbook_43999",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008293.lean\",\"81fc7f53b567c137b9bf5bba59714c5963fe643c22695db4ee88a8eb8b854bf3\",0,\"lean_workbook_44070\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008294.lean\",\"23f7a4bfa399741289bde616c8e1a4263161d125668ffb9d4e08cbb460334d55\",0,\"lean_workbook_44084\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008297.lean\",\"d4b581d489fea05b3a72408d60d4c18b00c6a4f1c4ef34b5f92ec6285f613b4f\",0,\"lean_workbook_44097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124243,
+      "path": "data/train/pbe/goedel_workbook-000331-0000-ef470f42e0589afe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ef470f42e0589afe15367d6ff1b547534523c85f662829b008c2ce25578d4bf5"
+    },
+    {
+      "bytes": 34413,
+      "path": "data/dev/pbe/goedel_workbook-000331-0000-3bd5afbc4771265d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3bd5afbc4771265daf1be02105f4ca143851246cc9c7bbfaed6c90f6103641d6"
+    },
+    {
+      "bytes": 35027,
+      "path": "data/internal_test/pbe/goedel_workbook-000331-0000-c5ab4c7aac16fce9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c5ab4c7aac16fce9e7e21317dc9b3b0831252096145d39ea972febddd4e33491"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000332.json b/manifests/batches/goedel_workbook/000332.json
index c169227e83e7a0f254f5920931d75a403a59d257..072cf33ad947d6030ad88662473ae1e4f307e562 100644
--- a/manifests/batches/goedel_workbook/000332.json
+++ b/manifests/batches/goedel_workbook/000332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000332",
   "batch_fingerprint": "e2fc58dd03bf37153a29a6ac57a0955c77318a64c8e63efa56a17d0e521d542f",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000332-0000-8aa88e6704b86704.parquet",
-      "sha256": "8aa88e6704b86704077fd901016f051e49009c2fed95a8ae8251896898c08620",
-      "bytes": 215681,
-      "rows": 54,
-      "revision": "6f454d6628ca674eb2b063f4f5f9a745ac681b61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44106",
     "goedel_workbook:lean_workbook_44107",
@@ -218,5 +209,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008322.lean\",\"512176bec1d56930aac85e31c9e716a3ba2d051affcf9237d6f9979b4e7b272b\",0,\"lean_workbook_44209\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008323.lean\",\"9b730e46d93fa1058e84c90899f77f7fa600b7ebe81554e70f862fbe629c8a6b\",0,\"lean_workbook_44219\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008324.lean\",\"9eb9ab9a629449725ead0f226332e2e960f4d17aaf33db56e20663ae6e70e3e5\",0,\"lean_workbook_4422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215681,
+      "path": "data/train/pae/goedel_workbook-000332-0000-8aa88e6704b86704.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "8aa88e6704b86704077fd901016f051e49009c2fed95a8ae8251896898c08620"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000333.json b/manifests/batches/goedel_workbook/000333.json
index 765aded7695840a92234f41edc411057b7a0d0d9..dda1e0ac857eca3a07275b694093e7d26786a289 100644
--- a/manifests/batches/goedel_workbook/000333.json
+++ b/manifests/batches/goedel_workbook/000333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000333",
   "batch_fingerprint": "0b786422f678428cd74ff2acdc567bc41e6c12a8527e4d3c0c4a1a0506a0e3ea",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000333-0000-b2d176058df7d7af.parquet",
-      "sha256": "b2d176058df7d7af93796e24c891fbdba1d2de99ed54016b979566085e60abf7",
-      "bytes": 88832,
-      "rows": 24,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000333-0000-4879186431ef5484.parquet",
-      "sha256": "4879186431ef5484497dfbec9210e10833b1bb0cc86131bc04f3fe5a2c84c4db",
-      "bytes": 44683,
-      "rows": 4,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000333-0000-da4c5eb966b309eb.parquet",
-      "sha256": "da4c5eb966b309ebe7f5bfd27fe9c00efdf0452f7ea81a6dfd056b4da7ac021a",
-      "bytes": 33799,
-      "rows": 3,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44227",
     "goedel_workbook:lean_workbook_44228",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008345.lean\",\"418b41a0a342de57bfd9dac9ee90c9156741a501ee6c4a636cde3f732764d6db\",0,\"lean_workbook_44287\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008346.lean\",\"66797fc6f0816009e6fdc47524bde7c0068872322a7ddbd7a3dc49682c870157\",0,\"lean_workbook_44290\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008347.lean\",\"262af96e5cf03345b8eed4c9870a6733b3e33e1522b200dd9a0e37f2d441e63b\",0,\"lean_workbook_4430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88832,
+      "path": "data/train/p57/goedel_workbook-000333-0000-b2d176058df7d7af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b2d176058df7d7af93796e24c891fbdba1d2de99ed54016b979566085e60abf7"
+    },
+    {
+      "bytes": 44683,
+      "path": "data/dev/p57/goedel_workbook-000333-0000-4879186431ef5484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4879186431ef5484497dfbec9210e10833b1bb0cc86131bc04f3fe5a2c84c4db"
+    },
+    {
+      "bytes": 33799,
+      "path": "data/internal_test/p57/goedel_workbook-000333-0000-da4c5eb966b309eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "da4c5eb966b309ebe7f5bfd27fe9c00efdf0452f7ea81a6dfd056b4da7ac021a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000334.json b/manifests/batches/goedel_workbook/000334.json
index 9846d8a36118949ea12746f5ec136ad9838e4bb2..40b21265fc8e11facc4dd0927f505ba592357b90 100644
--- a/manifests/batches/goedel_workbook/000334.json
+++ b/manifests/batches/goedel_workbook/000334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000334",
   "batch_fingerprint": "83047705ae323075ef4b55a1050957d311083704134539420cd3e1027d5aa0be",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000334-0000-2aeb48666e19c073.parquet",
-      "sha256": "2aeb48666e19c073ca360a624ea0a2770a9f105fe8fc38c77d8935e8f9d6b835",
-      "bytes": 168706,
-      "rows": 38,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000334-0000-9b454f805a00f7fa.parquet",
-      "sha256": "9b454f805a00f7faffdaa75da63f7652694bbba08d8bcf0aee71b2f166b8c7d7",
-      "bytes": 42344,
-      "rows": 3,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000334-0000-5bc903b0565159c2.parquet",
-      "sha256": "5bc903b0565159c232d46d846ecf2b25770ac5b753c36571c114c0b92968baca",
-      "bytes": 50409,
-      "rows": 6,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44307",
     "goedel_workbook:lean_workbook_44311",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008372.lean\",\"3b9867c344a6d82ea7f53072d565e30dfe70cc76dae4c0a4c8206cda895c317a\",0,\"lean_workbook_44371\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008373.lean\",\"d331fd950d9fa70da50d28419ccc10530b00a1377fbc100110c54a04fc827dcb\",0,\"lean_workbook_44390\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008374.lean\",\"2f43c796686ccacac1ba87898e971f06fd60cee9978c79e4e5d82df6baafe668\",0,\"lean_workbook_44398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168706,
+      "path": "data/train/pf8/goedel_workbook-000334-0000-2aeb48666e19c073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "2aeb48666e19c073ca360a624ea0a2770a9f105fe8fc38c77d8935e8f9d6b835"
+    },
+    {
+      "bytes": 42344,
+      "path": "data/dev/pf8/goedel_workbook-000334-0000-9b454f805a00f7fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9b454f805a00f7faffdaa75da63f7652694bbba08d8bcf0aee71b2f166b8c7d7"
+    },
+    {
+      "bytes": 50409,
+      "path": "data/internal_test/pf8/goedel_workbook-000334-0000-5bc903b0565159c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5bc903b0565159c232d46d846ecf2b25770ac5b753c36571c114c0b92968baca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000335.json b/manifests/batches/goedel_workbook/000335.json
index f9051253402d656d252833c9e2b954a9c90b82d3..285e57477700b50159625e97bd9526b413739dd9 100644
--- a/manifests/batches/goedel_workbook/000335.json
+++ b/manifests/batches/goedel_workbook/000335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000335",
   "batch_fingerprint": "c954cca224841811180a09107fa04942a6632b19e94adb604d4509d77737aea9",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000335-0000-2cfe1c63036cc894.parquet",
-      "sha256": "2cfe1c63036cc89486c5163cfe20a07e62bba4990f19b1965e1aa7da4bd776ad",
-      "bytes": 139275,
-      "rows": 33,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000335-0000-80b2fe2fd82e231f.parquet",
-      "sha256": "80b2fe2fd82e231f5c97f630413711164f9cefd966b41ced41318908f7aab3fd",
-      "bytes": 49461,
-      "rows": 5,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44416",
     "goedel_workbook:lean_workbook_44417",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008395.lean\",\"0a20e30a876f60103b9a1bf28663bb55921b76e62a7a2021980343515053efd8\",0,\"lean_workbook_44483\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008397.lean\",\"670d08cfee484b96bfa6df5882a9ab30881a3e5b63ca4cdeff954f9b8e6eaf50\",0,\"lean_workbook_44489\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008398.lean\",\"734cbccb7c844132e68e969a5ee25dd68791a7c10c39af3b8a4e74ab6ff2a649\",0,\"lean_workbook_44490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139275,
+      "path": "data/train/paf/goedel_workbook-000335-0000-2cfe1c63036cc894.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2cfe1c63036cc89486c5163cfe20a07e62bba4990f19b1965e1aa7da4bd776ad"
+    },
+    {
+      "bytes": 49461,
+      "path": "data/internal_test/paf/goedel_workbook-000335-0000-80b2fe2fd82e231f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "80b2fe2fd82e231f5c97f630413711164f9cefd966b41ced41318908f7aab3fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000336.json b/manifests/batches/goedel_workbook/000336.json
index d5057266fdf49cbd656067d1b12a668b0b381221..a9b06f2f696a768a20ddff4b847b090f4deaba2b 100644
--- a/manifests/batches/goedel_workbook/000336.json
+++ b/manifests/batches/goedel_workbook/000336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000336",
   "batch_fingerprint": "c74730c5a7735b9e60ad4b3539ba5a0bf0cacb542fcc59030c9f964004bd9ec1",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000336-0000-61df52be03c9a393.parquet",
-      "sha256": "61df52be03c9a3934953c68178852ee1bc664ef5ba40d1eca5f2e1f347d79925",
-      "bytes": 139904,
-      "rows": 32,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000336-0000-2a591705786106f7.parquet",
-      "sha256": "2a591705786106f7001663e76b01390431fb657fc7759889b9b9f876d1c60c93",
-      "bytes": 49846,
-      "rows": 4,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000336-0000-543a28f5de68c521.parquet",
-      "sha256": "543a28f5de68c52123ceeedc45f2aa94a0a4f226d3f2f1e27a139b54582189aa",
-      "bytes": 39621,
-      "rows": 2,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44506",
     "goedel_workbook:lean_workbook_44511",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008420.lean\",\"af12e03fa3842275b63a2e134a415bbd21e35b3edbd159d6400d0b8c1896e6cb\",0,\"lean_workbook_44571\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008423.lean\",\"cb64e5e2cffbf9c639f545fba5dd17070dc01fb842ed1272cd2605a6a960a67e\",0,\"lean_workbook_44582\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008424.lean\",\"49bc36d0353e283bc269e2779eaa9b47fd841c1c10094ee171e6a9b9052537a8\",0,\"lean_workbook_44584\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139904,
+      "path": "data/train/p9c/goedel_workbook-000336-0000-61df52be03c9a393.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "61df52be03c9a3934953c68178852ee1bc664ef5ba40d1eca5f2e1f347d79925"
+    },
+    {
+      "bytes": 49846,
+      "path": "data/dev/p9c/goedel_workbook-000336-0000-2a591705786106f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2a591705786106f7001663e76b01390431fb657fc7759889b9b9f876d1c60c93"
+    },
+    {
+      "bytes": 39621,
+      "path": "data/internal_test/p9c/goedel_workbook-000336-0000-543a28f5de68c521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "543a28f5de68c52123ceeedc45f2aa94a0a4f226d3f2f1e27a139b54582189aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000337.json b/manifests/batches/goedel_workbook/000337.json
index ebb61a90762d2e89acfca2e0c00cd7afbf2bf6ad..4d42ad9b816e8c012cb63a36e832d38d9fcab443 100644
--- a/manifests/batches/goedel_workbook/000337.json
+++ b/manifests/batches/goedel_workbook/000337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000337",
   "batch_fingerprint": "c38346831fb8be748bacbc5988a11cf0e3e39cb28f13956ad0c72b2cdaa9d5aa",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000337-0000-bc3b5a47e44a79ae.parquet",
-      "sha256": "bc3b5a47e44a79ae465b8a2572babbb4c5a487f45a0968d03094a03545c49ce3",
-      "bytes": 148167,
-      "rows": 35,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000337-0000-868bfdfdcd2bd52b.parquet",
-      "sha256": "868bfdfdcd2bd52bb28e59274dd8aba4afb7e4089ffec7958a9d2a1c7bbd3409",
-      "bytes": 37532,
-      "rows": 3,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000337-0000-5e45810e146f0718.parquet",
-      "sha256": "5e45810e146f0718f32f4cbcc4ab3ec63090b2ddfaeb54382a539f229bf3c8bd",
-      "bytes": 56648,
-      "rows": 13,
-      "revision": "efcd455f1d22c7bdb2d2fd07775aee3178ff44c2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44586",
     "goedel_workbook:lean_workbook_44587",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008445.lean\",\"1591d3387f0b1b6cb6d7ab48b96b6c8a61f1a3a484de2a94cbb7f4596e582c34\",0,\"lean_workbook_44687\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008448.lean\",\"2c8a518f80bb7a465aff3d8aa68768592a6dbaecae640697b20c37118ec0c6d7\",0,\"lean_workbook_44703\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008449.lean\",\"aabd6749c72bfd0276ffba82c9cdcabe2c4f0fba264b29ab12891d0b87b4dfa2\",0,\"lean_workbook_44706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148167,
+      "path": "data/train/pd2/goedel_workbook-000337-0000-bc3b5a47e44a79ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "bc3b5a47e44a79ae465b8a2572babbb4c5a487f45a0968d03094a03545c49ce3"
+    },
+    {
+      "bytes": 37532,
+      "path": "data/dev/pd2/goedel_workbook-000337-0000-868bfdfdcd2bd52b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "868bfdfdcd2bd52bb28e59274dd8aba4afb7e4089ffec7958a9d2a1c7bbd3409"
+    },
+    {
+      "bytes": 56648,
+      "path": "data/internal_test/pd2/goedel_workbook-000337-0000-5e45810e146f0718.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5e45810e146f0718f32f4cbcc4ab3ec63090b2ddfaeb54382a539f229bf3c8bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000338.json b/manifests/batches/goedel_workbook/000338.json
index 2a25ad80a3d05659374b455dd84c6f7eaef90a15..1a125e718caa154c2d646803ee4b03afedba5158 100644
--- a/manifests/batches/goedel_workbook/000338.json
+++ b/manifests/batches/goedel_workbook/000338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000338",
   "batch_fingerprint": "780f4bdc7a3de2797032302a1e5efeabb4b81cbc81bee8eb4676d6df8ed60f7d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000338-0000-9f07a155519dea09.parquet",
-      "sha256": "9f07a155519dea0902b7445653d365a718c0818e98602824528607d7a2746160",
-      "bytes": 91783,
-      "rows": 27,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000338-0000-4c776cf5b0d41310.parquet",
-      "sha256": "4c776cf5b0d413103e7428518d01e1144d6ddda9b7b83cfb0620ce70a45bf0a3",
-      "bytes": 36692,
-      "rows": 3,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44707",
     "goedel_workbook:lean_workbook_4471",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008468.lean\",\"a32731482997b06bd516260e22bcf602b140952910fcf5bfe01d492e8893e232\",0,\"lean_workbook_44771\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008471.lean\",\"73486884e37f3be804cb19543ac91a83e37df3a39886ea30554e87b00ff87c37\",0,\"lean_workbook_44785\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008472.lean\",\"1c3779bc4ae7857a5ce2feda2954abd8f42493fa01d2e54554d5d536d1c7c129\",0,\"lean_workbook_44786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91783,
+      "path": "data/train/p5b/goedel_workbook-000338-0000-9f07a155519dea09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9f07a155519dea0902b7445653d365a718c0818e98602824528607d7a2746160"
+    },
+    {
+      "bytes": 36692,
+      "path": "data/internal_test/p5b/goedel_workbook-000338-0000-4c776cf5b0d41310.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4c776cf5b0d413103e7428518d01e1144d6ddda9b7b83cfb0620ce70a45bf0a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000339.json b/manifests/batches/goedel_workbook/000339.json
index e45c58a526773ab8762c8dd7f2749d68e3abddd0..1dcf9847cad1cc288cdb138dd39813f501200a76 100644
--- a/manifests/batches/goedel_workbook/000339.json
+++ b/manifests/batches/goedel_workbook/000339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000339",
   "batch_fingerprint": "d76f5c75b861ed7e2be9e04c6486568cab8cddc2d613fec1f9e028975ed82b82",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000339-0000-66ef300a7c52c505.parquet",
-      "sha256": "66ef300a7c52c50561cb1e7200efe6fe546a631627661b51faa12680b290f5f4",
-      "bytes": 115680,
-      "rows": 29,
-      "revision": "498b9a5612a630eaa8e496112de08158f22c43b5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000339-0000-ab3e66beb1fdc6bd.parquet",
-      "sha256": "ab3e66beb1fdc6bdddc57ffe9ef69aeb8b272d8910bfecc3d82a49c915fdeae0",
-      "bytes": 28807,
-      "rows": 1,
-      "revision": "498b9a5612a630eaa8e496112de08158f22c43b5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000339-0000-185dd09a5036cb28.parquet",
-      "sha256": "185dd09a5036cb283937e9fc87c7951aeda80f729156d2a236a9f6364cc93c8a",
-      "bytes": 43212,
-      "rows": 4,
-      "revision": "498b9a5612a630eaa8e496112de08158f22c43b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44798",
     "goedel_workbook:lean_workbook_44800",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008497.lean\",\"163f8e23ced91d8e5ae16dfa569c77274b23bbdc065a73ae866a91678aeaa549\",0,\"lean_workbook_44898\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008498.lean\",\"771660bbd26c8f99eb74d93dd8ba4e8b1e5421a9b86fb7663e525590e2d375e1\",0,\"lean_workbook_449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008499.lean\",\"3185449995cf090e1c4268a4183f25a091dfe61a63cd0e18f159f39c879382d9\",0,\"lean_workbook_4491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115680,
+      "path": "data/train/pbd/goedel_workbook-000339-0000-66ef300a7c52c505.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "66ef300a7c52c50561cb1e7200efe6fe546a631627661b51faa12680b290f5f4"
+    },
+    {
+      "bytes": 28807,
+      "path": "data/dev/pbd/goedel_workbook-000339-0000-ab3e66beb1fdc6bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ab3e66beb1fdc6bdddc57ffe9ef69aeb8b272d8910bfecc3d82a49c915fdeae0"
+    },
+    {
+      "bytes": 43212,
+      "path": "data/internal_test/pbd/goedel_workbook-000339-0000-185dd09a5036cb28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "185dd09a5036cb283937e9fc87c7951aeda80f729156d2a236a9f6364cc93c8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000340.json b/manifests/batches/goedel_workbook/000340.json
index 3d4244f6c4a00b9f38e93e8044d81fa693b529a8..478278a503c675168f7267341e0f5cc1ccb067b5 100644
--- a/manifests/batches/goedel_workbook/000340.json
+++ b/manifests/batches/goedel_workbook/000340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000340",
   "batch_fingerprint": "9e0ca3f9c82a7b0bc9bd7329c22d3f37b621e63690dbcee6b41590d32bd94e2e",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000340-0000-6eaaf00262fbb216.parquet",
-      "sha256": "6eaaf00262fbb21676d61b9a30fa7cccdfdebaa39f44ee22398b1b23d5ec0e1c",
-      "bytes": 176133,
-      "rows": 42,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000340-0000-848fe7e17f240909.parquet",
-      "sha256": "848fe7e17f24090900cba68fd7dd6c4a1d1494406eceb1775fb6982a562e5d6c",
-      "bytes": 35678,
-      "rows": 2,
-      "revision": "51d27bcc2ff1b74fd7bf1027e5844a2c3daf70dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_44936",
     "goedel_workbook:lean_workbook_44938",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008521.lean\",\"ea7140c799b3c1eaaa171cae3622e9d8574adc3687357e866b89db109a2b5dce\",0,\"lean_workbook_45013\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008522.lean\",\"643839128cdb97ee94d0eec53a6dca320a8c6aa45ade0eb371dd8d0bf25c71dd\",0,\"lean_workbook_45015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008524.lean\",\"116296071a6398ed8cc20a0ac7fca40e5cd0209367b5de077751c49a2333d183\",0,\"lean_workbook_45033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176133,
+      "path": "data/train/pdf/goedel_workbook-000340-0000-6eaaf00262fbb216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "6eaaf00262fbb21676d61b9a30fa7cccdfdebaa39f44ee22398b1b23d5ec0e1c"
+    },
+    {
+      "bytes": 35678,
+      "path": "data/internal_test/pdf/goedel_workbook-000340-0000-848fe7e17f240909.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "848fe7e17f24090900cba68fd7dd6c4a1d1494406eceb1775fb6982a562e5d6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000341.json b/manifests/batches/goedel_workbook/000341.json
index b39b30b822774a06009e94e71ea3d7280771e9b6..05d3f5a58d865f284bb20fd4b246dadf5135a036 100644
--- a/manifests/batches/goedel_workbook/000341.json
+++ b/manifests/batches/goedel_workbook/000341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000341",
   "batch_fingerprint": "017548e52be13560b6b616bca5b53e45c7d0b1c0a6fa845b46646889d6bbd5c7",
   "evidence": {
@@ -163,15 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000341-0000-98b06e5e924c84d4.parquet",
-      "sha256": "98b06e5e924c84d4d38a1a19ccf1d148a5fac3c40663827e12c0f856475fd77d",
-      "bytes": 180574,
-      "rows": 44,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45036",
     "goedel_workbook:lean_workbook_45046",
@@ -209,5 +200,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008545.lean\",\"fbef923b0b07e258be502049c27f5cd4f16f20b7d3e26e0e0e516753ab1af716\",0,\"lean_workbook_45113\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008546.lean\",\"6b049ac57055ee8d9313d29cf0ba564603095d73055583f461592bbcb57229b0\",0,\"lean_workbook_45116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008549.lean\",\"3e160847144b5da945137878fcf325a1bbb54700c3f0bdea5bf0e850390ee384\",0,\"lean_workbook_45127\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180574,
+      "path": "data/train/p0c/goedel_workbook-000341-0000-98b06e5e924c84d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "98b06e5e924c84d4d38a1a19ccf1d148a5fac3c40663827e12c0f856475fd77d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000342.json b/manifests/batches/goedel_workbook/000342.json
index 2999a95c3ec0d461211c8e590d3ba1b93e8f0212..d1ce149b69bffa843a133af23269009f489528d7 100644
--- a/manifests/batches/goedel_workbook/000342.json
+++ b/manifests/batches/goedel_workbook/000342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000342",
   "batch_fingerprint": "723dc3f40ecdb14217fe48c86ecac4dd4e5d93de8ed119bf73b47e283b9dba60",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000342-0000-8b20068759b4b7f5.parquet",
-      "sha256": "8b20068759b4b7f5902e2bb9e141d0017febeb98f1cdb70245ea36edacbceaff",
-      "bytes": 257292,
-      "rows": 49,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000342-0000-862ffba31243ce5a.parquet",
-      "sha256": "862ffba31243ce5aa9de7931721aa133b9745e556f44a6e16eab9c78974716b7",
-      "bytes": 48055,
-      "rows": 4,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45133",
     "goedel_workbook:lean_workbook_45138",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008570.lean\",\"0619ee5a8f7eda282bff9248275b98ab58e1b8c352531dd024550a616fa30f48\",0,\"lean_workbook_45223\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008572.lean\",\"c2261e7b02365f719569d86115dd2c2d197cebb044b8380b749549f9112ab027\",0,\"lean_workbook_45227\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008573.lean\",\"6c05998152ac1f91b74213cba105d06645ff4ea85325212a359e27bb0056b48a\",0,\"lean_workbook_45228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257292,
+      "path": "data/train/pe0/goedel_workbook-000342-0000-8b20068759b4b7f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "8b20068759b4b7f5902e2bb9e141d0017febeb98f1cdb70245ea36edacbceaff"
+    },
+    {
+      "bytes": 48055,
+      "path": "data/internal_test/pe0/goedel_workbook-000342-0000-862ffba31243ce5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "862ffba31243ce5aa9de7931721aa133b9745e556f44a6e16eab9c78974716b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000343.json b/manifests/batches/goedel_workbook/000343.json
index 9dab7de260aa18ec93fca2971e413f618b1a9e38..87c8a25977263f52d086e8050d8d0f96307dbc30 100644
--- a/manifests/batches/goedel_workbook/000343.json
+++ b/manifests/batches/goedel_workbook/000343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000343",
   "batch_fingerprint": "fdde84995075af566c756ccb1c5f19ff935a6c75506c796f920dc6998ff08d67",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000343-0000-c67932ba6d80d05e.parquet",
-      "sha256": "c67932ba6d80d05ee77cc58e62299a76dac9588bceee7921e3c9f94b9825579a",
-      "bytes": 239230,
-      "rows": 44,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000343-0000-59f14ab601bd1eb3.parquet",
-      "sha256": "59f14ab601bd1eb35eaa78424433187dafe600b7ffdfde88111e6543bbb24546",
-      "bytes": 56613,
-      "rows": 10,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45232",
     "goedel_workbook:lean_workbook_45233",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008595.lean\",\"8a1182ad403d52d5b1e1276ef504089676a239ef98f52cf74bf0e6d67e0d06e5\",0,\"lean_workbook_45327\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008597.lean\",\"21db8d090ccdb8d7124f2f5fa0084d6f5670fa1e2750fd9c86b63e2c7de55d0e\",0,\"lean_workbook_45337\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008598.lean\",\"33c0dda83e0b294a09a14ce4b9b959fff410783df051b5e27ee1a75752603d57\",0,\"lean_workbook_45345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239230,
+      "path": "data/train/p4b/goedel_workbook-000343-0000-c67932ba6d80d05e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "c67932ba6d80d05ee77cc58e62299a76dac9588bceee7921e3c9f94b9825579a"
+    },
+    {
+      "bytes": 56613,
+      "path": "data/dev/p4b/goedel_workbook-000343-0000-59f14ab601bd1eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "59f14ab601bd1eb35eaa78424433187dafe600b7ffdfde88111e6543bbb24546"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000344.json b/manifests/batches/goedel_workbook/000344.json
index 8dc8f0f0e3a57c5b03d27a9aca53059a51d21f70..243a60459b0077d32e87c288c77900d051806e4b 100644
--- a/manifests/batches/goedel_workbook/000344.json
+++ b/manifests/batches/goedel_workbook/000344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000344",
   "batch_fingerprint": "74541c2104dc76091219a94a2a69fe5038dbced286608815ae51fbbe8dfcee01",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000344-0000-3db0314e3bd35628.parquet",
-      "sha256": "3db0314e3bd35628f2f8fcaf80a322b059831c906230c056fe21b3e63fd2d472",
-      "bytes": 146568,
-      "rows": 36,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000344-0000-a2a6c73016e8e3f5.parquet",
-      "sha256": "a2a6c73016e8e3f5770e2e1f84ef627a51147f50d9fb8a7df1a8da5124ec7dd4",
-      "bytes": 35662,
-      "rows": 4,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45353",
     "goedel_workbook:lean_workbook_45356",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008617.lean\",\"14f84e569edbd8f18058f13b99cd710e262aa2210fb318e61489792e85b40aa0\",0,\"lean_workbook_4543\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008621.lean\",\"e7baaf5ac7ca78c4452a1e10731a01341681aa72d039fc0f02640e631bf503f8\",0,\"lean_workbook_45439\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008623.lean\",\"b99898dbc35f5e3786b308e8246dee3441bfce04221829a42991f85a962e0f31\",0,\"lean_workbook_45444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146568,
+      "path": "data/train/pdb/goedel_workbook-000344-0000-3db0314e3bd35628.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "3db0314e3bd35628f2f8fcaf80a322b059831c906230c056fe21b3e63fd2d472"
+    },
+    {
+      "bytes": 35662,
+      "path": "data/dev/pdb/goedel_workbook-000344-0000-a2a6c73016e8e3f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a2a6c73016e8e3f5770e2e1f84ef627a51147f50d9fb8a7df1a8da5124ec7dd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000345.json b/manifests/batches/goedel_workbook/000345.json
index 738965cbb4c0192b48675077508b61185f71d5c8..7e43f994c41efad187a5be4ee062773771cffa24 100644
--- a/manifests/batches/goedel_workbook/000345.json
+++ b/manifests/batches/goedel_workbook/000345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000345",
   "batch_fingerprint": "1d67a10a9805d37847268f9ab0ff1d1d8d953a1b14ee2c6e3350934aee55d273",
   "evidence": {
@@ -118,29 +117,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000345-0000-5b40bc6925244358.parquet",
-      "sha256": "5b40bc692524435886ba8e66954e435373ddebca77a2d29af58ded96b1a7e1d7",
-      "bytes": 234641,
-      "rows": 57,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000345-0000-811b7f92dd1208d0.parquet",
-      "sha256": "811b7f92dd1208d0a648466d0907ff3e48cbde7c88f08d33fe89f6041090adfe",
-      "bytes": 39192,
-      "rows": 1,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000345-0000-9dc231ebcb787fee.parquet",
-      "sha256": "9dc231ebcb787fee6d103af46dc421a586b2e390a3d0fd9f17ac3e27d32dc621",
-      "bytes": 46484,
-      "rows": 6,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4545",
     "goedel_workbook:lean_workbook_45451",
@@ -184,5 +161,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008645.lean\",\"7105b85b30d5c7d68a8a244fc91b337317cd4fa39f2f4f98c1a82641d81e4a0d\",0,\"lean_workbook_45574\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008646.lean\",\"f6e401f4bbaf1f999e74ebde3ba240468d43367134cd09575c509d251b8c5899\",0,\"lean_workbook_45576\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 234641,
+      "path": "data/train/pa6/goedel_workbook-000345-0000-5b40bc6925244358.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "5b40bc692524435886ba8e66954e435373ddebca77a2d29af58ded96b1a7e1d7"
+    },
+    {
+      "bytes": 39192,
+      "path": "data/dev/pa6/goedel_workbook-000345-0000-811b7f92dd1208d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "811b7f92dd1208d0a648466d0907ff3e48cbde7c88f08d33fe89f6041090adfe"
+    },
+    {
+      "bytes": 46484,
+      "path": "data/internal_test/pa6/goedel_workbook-000345-0000-9dc231ebcb787fee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9dc231ebcb787fee6d103af46dc421a586b2e390a3d0fd9f17ac3e27d32dc621"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000346.json b/manifests/batches/goedel_workbook/000346.json
index 26407470b89bc9fdb9a18e3357ba21cb332ee005..89e9c6a7201c28168eb75a436c3c5c0e78c73110 100644
--- a/manifests/batches/goedel_workbook/000346.json
+++ b/manifests/batches/goedel_workbook/000346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000346",
   "batch_fingerprint": "36935481afcce2de01ab73a98d3819954efb7eae56274adcc4cfa72f1eab0729",
   "evidence": {
@@ -262,29 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000346-0000-55756deaec479cdd.parquet",
-      "sha256": "55756deaec479cdd93ba88bdb98bb1bd6f0ea8f012c848d1df5a68e71b30169c",
-      "bytes": 95432,
-      "rows": 21,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000346-0000-349d66072fea9d08.parquet",
-      "sha256": "349d66072fea9d0811a5751ee8d41d3400304196d595162b9e3e1e92ce4a5024",
-      "bytes": 42267,
-      "rows": 3,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000346-0000-090da5785e61dafa.parquet",
-      "sha256": "090da5785e61dafa7c896b24914ddcb7cb77c62e08fa81edbeb49dd468f1434f",
-      "bytes": 43925,
-      "rows": 5,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45603",
     "goedel_workbook:lean_workbook_45614",
@@ -312,5 +289,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008665.lean\",\"da1df1945391dec0eb8843a52498686963d7f532dab5d1c16031f20b44892417\",0,\"lean_workbook_45674\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 95432,
+      "path": "data/train/pc7/goedel_workbook-000346-0000-55756deaec479cdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "55756deaec479cdd93ba88bdb98bb1bd6f0ea8f012c848d1df5a68e71b30169c"
+    },
+    {
+      "bytes": 42267,
+      "path": "data/dev/pc7/goedel_workbook-000346-0000-349d66072fea9d08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "349d66072fea9d0811a5751ee8d41d3400304196d595162b9e3e1e92ce4a5024"
+    },
+    {
+      "bytes": 43925,
+      "path": "data/internal_test/pc7/goedel_workbook-000346-0000-090da5785e61dafa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "090da5785e61dafa7c896b24914ddcb7cb77c62e08fa81edbeb49dd468f1434f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000347.json b/manifests/batches/goedel_workbook/000347.json
index 9cbc6811a9574cb6df535c8083b697208a05837c..cce35ca4e4c175a3f636425792f3e5e9adf8da69 100644
--- a/manifests/batches/goedel_workbook/000347.json
+++ b/manifests/batches/goedel_workbook/000347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000347",
   "batch_fingerprint": "77819f278cd653af5af238805c04cd798d59a1c890ab48cb748a48e1428cce90",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000347-0000-9bd8cc25dc21304f.parquet",
-      "sha256": "9bd8cc25dc21304fc4bc9a5eb56c6eb5be9dbecfeabc1ded8cc8e04b6ce9d6d1",
-      "bytes": 354703,
-      "rows": 92,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000347-0000-e968d058108994a8.parquet",
-      "sha256": "e968d058108994a8653074d84a0a996dc18859d60e6511fd28757996b9efd484",
-      "bytes": 47628,
-      "rows": 8,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45728",
     "goedel_workbook:lean_workbook_45732",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008697.lean\",\"42da5cff2c76edc1ec7ae8f0207bf714c1e6e912d6427b45ee002616025d42c0\",0,\"lean_workbook_45783\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008699.lean\",\"53e6c47a443a183738023c7522e7261da873d85134be91d73fcc169e46574c50\",0,\"lean_workbook_45785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354703,
+      "path": "data/train/p56/goedel_workbook-000347-0000-9bd8cc25dc21304f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 92,
+      "sha256": "9bd8cc25dc21304fc4bc9a5eb56c6eb5be9dbecfeabc1ded8cc8e04b6ce9d6d1"
+    },
+    {
+      "bytes": 47628,
+      "path": "data/dev/p56/goedel_workbook-000347-0000-e968d058108994a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e968d058108994a8653074d84a0a996dc18859d60e6511fd28757996b9efd484"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000348.json b/manifests/batches/goedel_workbook/000348.json
index 2b46d6932b0aa4b077b3bbd5424b7349b8602d3f..c49f6432e4beddec2abf5581bae7d7601a30009f 100644
--- a/manifests/batches/goedel_workbook/000348.json
+++ b/manifests/batches/goedel_workbook/000348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000348",
   "batch_fingerprint": "019b25bf15747bf57e6fa6f29e864be8f390840c79af8a8384b9b9b6796b8128",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000348-0000-832cc86deacbc9f3.parquet",
-      "sha256": "832cc86deacbc9f3a3b6533297603dd05d956b8e9e57672424fd3a5a58d53c44",
-      "bytes": 208015,
-      "rows": 35,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000348-0000-cd19a07b728692c3.parquet",
-      "sha256": "cd19a07b728692c3fde22e733887a49cc31255dddc73c73372e1d62eef6c21fb",
-      "bytes": 29024,
-      "rows": 1,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000348-0000-ddac0dd2b9c0cf01.parquet",
-      "sha256": "ddac0dd2b9c0cf0127eba8c2099707cc578242005d5a6cda8352aed0b0236d90",
-      "bytes": 41466,
-      "rows": 2,
-      "revision": "17555c5c23c2a6b0ec9c83da1387e13fa8d377a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45801",
     "goedel_workbook:lean_workbook_45805",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008722.lean\",\"eee61f43109dd332bb349e67d030f7a2048661f32d00e9c00f9e59ffddf28a3b\",0,\"lean_workbook_45871\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008723.lean\",\"7a9e7da4b7339a26bc8743a284f17f1b584cab86a8988708bcde01884efa3708\",0,\"lean_workbook_45874\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008724.lean\",\"91b505c361bfb05ac2cb5bba61698654699f8c26ca1b718dfd49a5bdc9dd4b14\",0,\"lean_workbook_4588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208015,
+      "path": "data/train/p78/goedel_workbook-000348-0000-832cc86deacbc9f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "832cc86deacbc9f3a3b6533297603dd05d956b8e9e57672424fd3a5a58d53c44"
+    },
+    {
+      "bytes": 29024,
+      "path": "data/dev/p78/goedel_workbook-000348-0000-cd19a07b728692c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cd19a07b728692c3fde22e733887a49cc31255dddc73c73372e1d62eef6c21fb"
+    },
+    {
+      "bytes": 41466,
+      "path": "data/internal_test/p78/goedel_workbook-000348-0000-ddac0dd2b9c0cf01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ddac0dd2b9c0cf0127eba8c2099707cc578242005d5a6cda8352aed0b0236d90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000349.json b/manifests/batches/goedel_workbook/000349.json
index cfee7517812c8b5fd5ab2c9e825cb7254fc93d4e..2263f80f820853d83d82b3849e29b7968abbffda 100644
--- a/manifests/batches/goedel_workbook/000349.json
+++ b/manifests/batches/goedel_workbook/000349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000349",
   "batch_fingerprint": "9330dce794d30d0130a3c0d770140bf93ba99a6b8b54070b072b70b3c4deda15",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000349-0000-050928be98f359fb.parquet",
-      "sha256": "050928be98f359fbf3ed1cd1e03ec5f7177867033278abafb57e3a5390ddbc91",
-      "bytes": 223191,
-      "rows": 53,
-      "revision": "08a9d46059fc4227e9bbb210f85114a4578dd9b0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000349-0000-7c10e7ce22b619db.parquet",
-      "sha256": "7c10e7ce22b619db6a2a256abc9fdeb4d2d9b38bd52af2f6eee9e8d97b765939",
-      "bytes": 37900,
-      "rows": 3,
-      "revision": "08a9d46059fc4227e9bbb210f85114a4578dd9b0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45880",
     "goedel_workbook:lean_workbook_4589",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008746.lean\",\"2d042081eb145ff9bcf7284153a543e2edbbd223f82bae0a3285a76dc57a80c6\",0,\"lean_workbook_45944\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008748.lean\",\"ab3724a319e69732fd21f73b434741f88e77147c0f738bbb316ecdd5c844b288\",0,\"lean_workbook_4595\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008749.lean\",\"b36c81ee3913a361bffcfcdfba0f51d88e211dc1076fd9ba5fc519074ea43063\",0,\"lean_workbook_45952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223191,
+      "path": "data/train/p0b/goedel_workbook-000349-0000-050928be98f359fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "050928be98f359fbf3ed1cd1e03ec5f7177867033278abafb57e3a5390ddbc91"
+    },
+    {
+      "bytes": 37900,
+      "path": "data/internal_test/p0b/goedel_workbook-000349-0000-7c10e7ce22b619db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7c10e7ce22b619db6a2a256abc9fdeb4d2d9b38bd52af2f6eee9e8d97b765939"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000350.json b/manifests/batches/goedel_workbook/000350.json
index 7242256adc03b485ba94391bc2cc6daa9cf9de70..480751dd11a7d57fa802e37435cea040a19aca35 100644
--- a/manifests/batches/goedel_workbook/000350.json
+++ b/manifests/batches/goedel_workbook/000350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000350",
   "batch_fingerprint": "bd84248b3032a8b0df70c0afcb5e1514d683675e0aee97a1fc908d12fe07d6b2",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000350-0000-58d843830e589a5c.parquet",
-      "sha256": "58d843830e589a5cb8e4687022c906b3fb29e22a49c496f9f7e2d1e23de51591",
-      "bytes": 147803,
-      "rows": 36,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_45955",
     "goedel_workbook:lean_workbook_45961",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008772.lean\",\"61d5f2f69d43869c17ead580a6886d13b998567549534ebd24ad66e3e35e75d9\",0,\"lean_workbook_46061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008773.lean\",\"ab2e7a4cb3f8fa82a0f642241c2f738c78b1078a857302b37231cb76f79d922f\",0,\"lean_workbook_46062\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008774.lean\",\"5033a497e1eee3acee7dd912e4a9ad5ddd9bba9f93f634849925be0498e446c0\",0,\"lean_workbook_46063\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147803,
+      "path": "data/train/p7f/goedel_workbook-000350-0000-58d843830e589a5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "58d843830e589a5cb8e4687022c906b3fb29e22a49c496f9f7e2d1e23de51591"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000351.json b/manifests/batches/goedel_workbook/000351.json
index 23adc8a0ed4dc803a56290204da3fa477bd55f25..eb27f0e2e4d79c7d75f41bbb2de88442cc540d2e 100644
--- a/manifests/batches/goedel_workbook/000351.json
+++ b/manifests/batches/goedel_workbook/000351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000351",
   "batch_fingerprint": "7693e470036c5b710c48f8c01ed1ee37ed9c4d62b4e9241938a33a5316119f99",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000351-0000-7b347258c0c1e380.parquet",
-      "sha256": "7b347258c0c1e3805598dafa8b952e7ccdb7eac4e7523c546007972ed1bc950c",
-      "bytes": 155692,
-      "rows": 35,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000351-0000-6e1812a1db2b7317.parquet",
-      "sha256": "6e1812a1db2b731742c16e1e2a1749c4312a792da4281d361485439999ec15de",
-      "bytes": 38433,
-      "rows": 1,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000351-0000-3a7ec89561fb9638.parquet",
-      "sha256": "3a7ec89561fb963899776af675df691ebad13115c0c7013ad60fb8d057709962",
-      "bytes": 35515,
-      "rows": 3,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46087",
     "goedel_workbook:lean_workbook_46090",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008796.lean\",\"09b8a13dee4fcb36e4793ca6e415da7b40ac15d812440605d4d619e9ad6ddc05\",0,\"lean_workbook_46152\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008797.lean\",\"549b54d45a2e6de9a3cd8550eb38024973a030952a644a36b1373f1c9b1e4922\",0,\"lean_workbook_46153\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008798.lean\",\"c53aa13368a8dd20218399c2e474493d3f760c16c8c0d912056da546f56bfd9b\",0,\"lean_workbook_46154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155692,
+      "path": "data/train/p5d/goedel_workbook-000351-0000-7b347258c0c1e380.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7b347258c0c1e3805598dafa8b952e7ccdb7eac4e7523c546007972ed1bc950c"
+    },
+    {
+      "bytes": 38433,
+      "path": "data/dev/p5d/goedel_workbook-000351-0000-6e1812a1db2b7317.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6e1812a1db2b731742c16e1e2a1749c4312a792da4281d361485439999ec15de"
+    },
+    {
+      "bytes": 35515,
+      "path": "data/internal_test/p5d/goedel_workbook-000351-0000-3a7ec89561fb9638.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3a7ec89561fb963899776af675df691ebad13115c0c7013ad60fb8d057709962"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000352.json b/manifests/batches/goedel_workbook/000352.json
index 086a001d3b53c4f09d05789d65c1e74b38b3b376..d4f62205628f6b70475cc31c9dc0c6515085fed0 100644
--- a/manifests/batches/goedel_workbook/000352.json
+++ b/manifests/batches/goedel_workbook/000352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000352",
   "batch_fingerprint": "8de366e3e8dae8488cba24697b53d27c94e0656905a7d23dd80cdc5ba3a8c9fa",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000352-0000-6ba7171b09b3cd6d.parquet",
-      "sha256": "6ba7171b09b3cd6d92980e4718ba82f1d37e30ef7bb8430fc933ebc0397cfa07",
-      "bytes": 116422,
-      "rows": 29,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000352-0000-bcd36974ec6d2201.parquet",
-      "sha256": "bcd36974ec6d22014931723c1859dfe35b4ab4e32d375b35dea6e4169cd1b33b",
-      "bytes": 95108,
-      "rows": 6,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000352-0000-da9578ceeead1a43.parquet",
-      "sha256": "da9578ceeead1a43731eec29253189cb0767fe89c0987ba60beafc56a94736a9",
-      "bytes": 42531,
-      "rows": 4,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46163",
     "goedel_workbook:lean_workbook_46166",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008821.lean\",\"0583c40394568723aa4929ebc77dbee04a11e54ad1dd06b2159c1f01787f209b\",0,\"lean_workbook_46245\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008824.lean\",\"267df40b68dfa2c66cc403779d79d6fc6ea1f7579e81bbb7a3efe184112a623e\",0,\"lean_workbook_46253\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116422,
+      "path": "data/train/p2e/goedel_workbook-000352-0000-6ba7171b09b3cd6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6ba7171b09b3cd6d92980e4718ba82f1d37e30ef7bb8430fc933ebc0397cfa07"
+    },
+    {
+      "bytes": 95108,
+      "path": "data/dev/p2e/goedel_workbook-000352-0000-bcd36974ec6d2201.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bcd36974ec6d22014931723c1859dfe35b4ab4e32d375b35dea6e4169cd1b33b"
+    },
+    {
+      "bytes": 42531,
+      "path": "data/internal_test/p2e/goedel_workbook-000352-0000-da9578ceeead1a43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "da9578ceeead1a43731eec29253189cb0767fe89c0987ba60beafc56a94736a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000353.json b/manifests/batches/goedel_workbook/000353.json
index afeae5de15b1e117bd4f1e4e24c34fc554a25075..5b9113f619f8a11d8614f4ef64b58f5bcb57b352 100644
--- a/manifests/batches/goedel_workbook/000353.json
+++ b/manifests/batches/goedel_workbook/000353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000353",
   "batch_fingerprint": "b7e60540f239a866bc045a77d233b74d89aca145acbc650de17f1dbae3ca0114",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000353-0000-85d57d50e366a1fd.parquet",
-      "sha256": "85d57d50e366a1fd18cd8bb113ebb28f92f5e2caf4cc1b1849600cf071f5d251",
-      "bytes": 115346,
-      "rows": 22,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000353-0000-b5088023b8acb2ce.parquet",
-      "sha256": "b5088023b8acb2cee7e8e5689986a9d508292ecb21dca8fd136f43901b0137f7",
-      "bytes": 38977,
-      "rows": 3,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46274",
     "goedel_workbook:lean_workbook_46275",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008846.lean\",\"3c373cbec7525e5f8839be9c545e3c4a8334fdee167499668467a0c0e4f74ebd\",0,\"lean_workbook_46341\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008848.lean\",\"07391222ad2a46d5ceec37a2614b9ba09ae4e6397702c1086bf89a55eaaa3e16\",0,\"lean_workbook_46346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115346,
+      "path": "data/train/p3c/goedel_workbook-000353-0000-85d57d50e366a1fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "85d57d50e366a1fd18cd8bb113ebb28f92f5e2caf4cc1b1849600cf071f5d251"
+    },
+    {
+      "bytes": 38977,
+      "path": "data/internal_test/p3c/goedel_workbook-000353-0000-b5088023b8acb2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b5088023b8acb2cee7e8e5689986a9d508292ecb21dca8fd136f43901b0137f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000354.json b/manifests/batches/goedel_workbook/000354.json
index a76a8ff2e1179ec553f5a9ce95839f1a71d1dc98..099f632d732afbc8a7c90ed91d7f26d860d01b22 100644
--- a/manifests/batches/goedel_workbook/000354.json
+++ b/manifests/batches/goedel_workbook/000354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000354",
   "batch_fingerprint": "1a10a718827709893ac6c5e1a58c339cf47cae2ba19a4c988881b289a73d5f14",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000354-0000-18fb485ebe2a169b.parquet",
-      "sha256": "18fb485ebe2a169ba05648b50216c3e96375abd8a9137e142b55c4568e09764f",
-      "bytes": 77851,
-      "rows": 19,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000354-0000-bfb326dc8dec18d4.parquet",
-      "sha256": "bfb326dc8dec18d4a9092b02f7c34b12517c75c07cfc3e79e45f46e59ced2c09",
-      "bytes": 44470,
-      "rows": 4,
-      "revision": "faf0b2e3d06e4b09858c58bafb830d104bf3c050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46350",
     "goedel_workbook:lean_workbook_46363",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008872.lean\",\"862f3eaec46021a39ad6823db6865d61a5fec061a442b871435c46b98a6af55c\",0,\"lean_workbook_46438\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008873.lean\",\"f9420282f8b14a60ba6beb7851e63cdac40439c8f5de423eb2d6cf4c2013f721\",0,\"lean_workbook_46443\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008874.lean\",\"3cef5def241fd6fe442522eeec19be813ae9232ece2461ee4e97002c91a9e9c3\",0,\"lean_workbook_46444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77851,
+      "path": "data/train/p73/goedel_workbook-000354-0000-18fb485ebe2a169b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "18fb485ebe2a169ba05648b50216c3e96375abd8a9137e142b55c4568e09764f"
+    },
+    {
+      "bytes": 44470,
+      "path": "data/internal_test/p73/goedel_workbook-000354-0000-bfb326dc8dec18d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bfb326dc8dec18d4a9092b02f7c34b12517c75c07cfc3e79e45f46e59ced2c09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000355.json b/manifests/batches/goedel_workbook/000355.json
index d7d96f5e37be4ed917766753c6268149733b309f..ae1c8e5e38cf34072a5ca5cf0806917f2cefbb3e 100644
--- a/manifests/batches/goedel_workbook/000355.json
+++ b/manifests/batches/goedel_workbook/000355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000355",
   "batch_fingerprint": "13376b383ee819a8eb3164589032e3012a13860e04b33547999d40e7cd22e5e9",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000355-0000-602e4801fd6f8527.parquet",
-      "sha256": "602e4801fd6f8527ca7d0a452b186835bf01107feac08b67e4d8f249a37a2816",
-      "bytes": 199263,
-      "rows": 39,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000355-0000-d2bc08922f8a0f0d.parquet",
-      "sha256": "d2bc08922f8a0f0de318acd62d27349ba2f903f1ad3b0819348d603e98355459",
-      "bytes": 70137,
-      "rows": 8,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000355-0000-9b6c36715ef31727.parquet",
-      "sha256": "9b6c36715ef317276f909340862f68fc6f5c85c52adbd2c4880d39be4b404902",
-      "bytes": 50754,
-      "rows": 4,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46450",
     "goedel_workbook:lean_workbook_46453",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008893.lean\",\"1143a1dcb07b46e5abc60bc00f01ca7a2ad4f83923fae0bb6b61e76feebb1c46\",0,\"lean_workbook_46531\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008895.lean\",\"3bb039cb003ccb208eec03f8e9ab86e054393fecabfd34c611dcf9f65a91c291\",0,\"lean_workbook_46543\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008897.lean\",\"51a659dfdb8cb87283114477be8d631c0997e7627248f4f180da6f81ca9c91f4\",0,\"lean_workbook_4655\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199263,
+      "path": "data/train/p2f/goedel_workbook-000355-0000-602e4801fd6f8527.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "602e4801fd6f8527ca7d0a452b186835bf01107feac08b67e4d8f249a37a2816"
+    },
+    {
+      "bytes": 70137,
+      "path": "data/dev/p2f/goedel_workbook-000355-0000-d2bc08922f8a0f0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d2bc08922f8a0f0de318acd62d27349ba2f903f1ad3b0819348d603e98355459"
+    },
+    {
+      "bytes": 50754,
+      "path": "data/internal_test/p2f/goedel_workbook-000355-0000-9b6c36715ef31727.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9b6c36715ef317276f909340862f68fc6f5c85c52adbd2c4880d39be4b404902"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000356.json b/manifests/batches/goedel_workbook/000356.json
index 27bc1d691e4939697d921c1d304704fdc7cf3dc7..ac8cf370821c4d80a38ccec0ce20f799d01fb30e 100644
--- a/manifests/batches/goedel_workbook/000356.json
+++ b/manifests/batches/goedel_workbook/000356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000356",
   "batch_fingerprint": "0764b8cf0428f9f4d183ebb89a8ba53682fb947f7b666f9d6ed28422c7752710",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000356-0000-f82f00723e2bc5bc.parquet",
-      "sha256": "f82f00723e2bc5bcd30355914b6e8a5eb5dc505b384a96d558e0575d2fbe37d0",
-      "bytes": 244979,
-      "rows": 49,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000356-0000-7660545d8248fb61.parquet",
-      "sha256": "7660545d8248fb6195a91238f20ea920ba574f01d055c9bfa2e78a77b3f0dbd0",
-      "bytes": 46005,
-      "rows": 4,
-      "revision": "d24a8c28b31e23b0f85e0886243557c8d67c28bd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46559",
     "goedel_workbook:lean_workbook_46561",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008919.lean\",\"72f60291940b6eb4ca1a4826bc79844d3270c59aaa3f8e1484061f1b664ba8a9\",0,\"lean_workbook_46628\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008921.lean\",\"6481eed0ea287627a91e1e256f4ba51e180346a4bc000b716b4762f1d21801d7\",0,\"lean_workbook_46632\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008923.lean\",\"e1f29e05ecd6fe026a42b420cddac3791a81c6d96e78c81b5768ae726423e916\",0,\"lean_workbook_46638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244979,
+      "path": "data/train/p18/goedel_workbook-000356-0000-f82f00723e2bc5bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "f82f00723e2bc5bcd30355914b6e8a5eb5dc505b384a96d558e0575d2fbe37d0"
+    },
+    {
+      "bytes": 46005,
+      "path": "data/internal_test/p18/goedel_workbook-000356-0000-7660545d8248fb61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7660545d8248fb6195a91238f20ea920ba574f01d055c9bfa2e78a77b3f0dbd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000357.json b/manifests/batches/goedel_workbook/000357.json
index 273bf095bae047ac6421bfb7e693c39a16f511ef..06ffb023a4ba46fd427348986897ac7eeef543fa 100644
--- a/manifests/batches/goedel_workbook/000357.json
+++ b/manifests/batches/goedel_workbook/000357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000357",
   "batch_fingerprint": "0600aa6134c8dc6d1a71da55d357ca7bb7ce8e29a9b005592b38f387935b3761",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000357-0000-b5f07b067285b5e1.parquet",
-      "sha256": "b5f07b067285b5e1280e5276a0a4155027e9321d44b86924a12e90aaffcd7e79",
-      "bytes": 100779,
-      "rows": 28,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000357-0000-67d16d800633289e.parquet",
-      "sha256": "67d16d800633289eb1fc28e05b84832356fc54a141f1eb4da4c024eca559e361",
-      "bytes": 43822,
-      "rows": 3,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000357-0000-aac98bdb3ef482b5.parquet",
-      "sha256": "aac98bdb3ef482b513a9ad9093966c0d9fd047198a2546a1c509d52c0b5f63b7",
-      "bytes": 138555,
-      "rows": 22,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46653",
     "goedel_workbook:lean_workbook_46654",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008947.lean\",\"779dc3b78e8d56e08ccc8e820352a58b1c9b430d7c03b9f1a0d1a2af62c651dc\",0,\"lean_workbook_46726\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008948.lean\",\"f669f5f0192705126313ef779ea3325f5b087317d64d232121ba1b6ae73036c6\",0,\"lean_workbook_46732\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008949.lean\",\"ca0ffdae533d3a86ac001d9501909fe0555e2e4c775f031bf27834bc8c06591e\",0,\"lean_workbook_46734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100779,
+      "path": "data/train/p3a/goedel_workbook-000357-0000-b5f07b067285b5e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b5f07b067285b5e1280e5276a0a4155027e9321d44b86924a12e90aaffcd7e79"
+    },
+    {
+      "bytes": 43822,
+      "path": "data/dev/p3a/goedel_workbook-000357-0000-67d16d800633289e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "67d16d800633289eb1fc28e05b84832356fc54a141f1eb4da4c024eca559e361"
+    },
+    {
+      "bytes": 138555,
+      "path": "data/internal_test/p3a/goedel_workbook-000357-0000-aac98bdb3ef482b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "aac98bdb3ef482b513a9ad9093966c0d9fd047198a2546a1c509d52c0b5f63b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000358.json b/manifests/batches/goedel_workbook/000358.json
index d03a4826e2f5759c78198704883ff9a7d5fdf64c..fb741df2b85bcc8893fe02625346794f55a660c9 100644
--- a/manifests/batches/goedel_workbook/000358.json
+++ b/manifests/batches/goedel_workbook/000358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000358",
   "batch_fingerprint": "22f9f6272bc065e575d8dd39f60a10c7cfd02df2c41e846340a182bda318f35e",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000358-0000-7ea127f13fa431d8.parquet",
-      "sha256": "7ea127f13fa431d86db07b80b546d1d784b81fee8ca9455962e48c4144b5bd24",
-      "bytes": 118413,
-      "rows": 22,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000358-0000-858312d590ab68bb.parquet",
-      "sha256": "858312d590ab68bb6e61998f752971cb2848dbd81c48150e631d216ec0e735bb",
-      "bytes": 27105,
-      "rows": 1,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46741",
     "goedel_workbook:lean_workbook_46747",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008967.lean\",\"5fdfc2718acd7110d6571334b83d6ae90cb96bbd889de9ce720eea7b0063cb2c\",0,\"lean_workbook_46816\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008968.lean\",\"34159ec14f9d0dd951767f72841939f24a9b2d371011d8bd12950dd1217afa97\",0,\"lean_workbook_46818\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008969.lean\",\"53c7704f0805bfd1c183744c34eaadeef25e67d72dc164e176f088219a271d69\",0,\"lean_workbook_46823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118413,
+      "path": "data/train/p00/goedel_workbook-000358-0000-7ea127f13fa431d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7ea127f13fa431d86db07b80b546d1d784b81fee8ca9455962e48c4144b5bd24"
+    },
+    {
+      "bytes": 27105,
+      "path": "data/internal_test/p00/goedel_workbook-000358-0000-858312d590ab68bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "858312d590ab68bb6e61998f752971cb2848dbd81c48150e631d216ec0e735bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000359.json b/manifests/batches/goedel_workbook/000359.json
index 6d2c60308b95f4640b4e84801de4befb10a60979..4e31d7f9ec9b39f0575fc7c73c77477d8ac5b857 100644
--- a/manifests/batches/goedel_workbook/000359.json
+++ b/manifests/batches/goedel_workbook/000359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000359",
   "batch_fingerprint": "11e89026170345a7e4d542b1d736f386c0e35deb0cb926cc3d3dc9be75e3c5f0",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000359-0000-0a51487493899c47.parquet",
-      "sha256": "0a51487493899c479247f188a3c8db906c4482842af224014dd110bcca82704a",
-      "bytes": 191755,
-      "rows": 26,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000359-0000-6a0b32241bf4ab57.parquet",
-      "sha256": "6a0b32241bf4ab57d5ed48973838ec92c8d333543b513678691671852c9e2f80",
-      "bytes": 33666,
-      "rows": 2,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46863",
     "goedel_workbook:lean_workbook_46864",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008994.lean\",\"931ab368827a1aa97e74fef4c8aab542e063ff427def120dd71d153ef1e5b376\",0,\"lean_workbook_46899\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008996.lean\",\"98b591ee81026527b41118b7dcbd1c83b45c65a28f45acabeee15a6f44deb3a1\",0,\"lean_workbook_46907\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_008997.lean\",\"915c2275eb7689534c5012ad87ad418e0284a90f6a7af1ebf40b8f5d7e21035b\",0,\"lean_workbook_46908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191755,
+      "path": "data/train/p40/goedel_workbook-000359-0000-0a51487493899c47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "0a51487493899c479247f188a3c8db906c4482842af224014dd110bcca82704a"
+    },
+    {
+      "bytes": 33666,
+      "path": "data/internal_test/p40/goedel_workbook-000359-0000-6a0b32241bf4ab57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6a0b32241bf4ab57d5ed48973838ec92c8d333543b513678691671852c9e2f80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000360.json b/manifests/batches/goedel_workbook/000360.json
index 2a299ba2b123f90de0e940ec28fc6de82de5ce81..83591504cefe79acbe690bede1d213e12ff970bb 100644
--- a/manifests/batches/goedel_workbook/000360.json
+++ b/manifests/batches/goedel_workbook/000360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000360",
   "batch_fingerprint": "16d98a21f8b4e447f86664e9c8c0420f9cd5d7be786bae65d4c2c2bd971f5e37",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000360-0000-942d7d37670540c2.parquet",
-      "sha256": "942d7d37670540c2e541fb88f733345a32c44eba9b19e70d8e4149bb523ef268",
-      "bytes": 202509,
-      "rows": 39,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000360-0000-80bd37da21ac6514.parquet",
-      "sha256": "80bd37da21ac651407981ed3c3b32ba5fb1532577e08920c4590bf542c1bf363",
-      "bytes": 46617,
-      "rows": 2,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000360-0000-b8b8a49e03946170.parquet",
-      "sha256": "b8b8a49e03946170198d74ce785af4b94cac682d913a05d159bbdb7df710ead0",
-      "bytes": 66275,
-      "rows": 14,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_46927",
     "goedel_workbook:lean_workbook_46930",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009019.lean\",\"0a0bbfabceaa9925daccc599200651c57b96abe13729d743c3fde7bc00016e60\",0,\"lean_workbook_47019\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009022.lean\",\"367777456c77f8db8e4a2599b25eae489510cc2000167cb9fd9fd2d0d2798d5b\",0,\"lean_workbook_47035\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009023.lean\",\"b5a1f2b515d93078cbafa550f8d4dda5028fd9930548d76dc8ec7a7836cb5186\",0,\"lean_workbook_47039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202509,
+      "path": "data/train/p0a/goedel_workbook-000360-0000-942d7d37670540c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "942d7d37670540c2e541fb88f733345a32c44eba9b19e70d8e4149bb523ef268"
+    },
+    {
+      "bytes": 46617,
+      "path": "data/dev/p0a/goedel_workbook-000360-0000-80bd37da21ac6514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "80bd37da21ac651407981ed3c3b32ba5fb1532577e08920c4590bf542c1bf363"
+    },
+    {
+      "bytes": 66275,
+      "path": "data/internal_test/p0a/goedel_workbook-000360-0000-b8b8a49e03946170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b8b8a49e03946170198d74ce785af4b94cac682d913a05d159bbdb7df710ead0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000361.json b/manifests/batches/goedel_workbook/000361.json
index fdcb377252c4eb7570d0a5f2380d80e6f21cf7d8..a99166bb14d6af496bd1fdcf91699da309e189b0 100644
--- a/manifests/batches/goedel_workbook/000361.json
+++ b/manifests/batches/goedel_workbook/000361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000361",
   "batch_fingerprint": "59f11468791474ad707a7827e30a99026528f91496b75bfd0b27c1ea7e5cd5e1",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000361-0000-b92f7317e282d68f.parquet",
-      "sha256": "b92f7317e282d68f00d5fad14d0a0b33f2e2d03b43b6431cb4132da0d59d7fb7",
-      "bytes": 178157,
-      "rows": 47,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000361-0000-8db5e5673ded76f7.parquet",
-      "sha256": "8db5e5673ded76f7104bb2339bf4c7e34065a870d93b2266633e90bf6ab00b55",
-      "bytes": 41036,
-      "rows": 4,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47053",
     "goedel_workbook:lean_workbook_47066",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009043.lean\",\"68796e96ff3e0cea747916259e27b1b7043db6938728428d54d69ea9b1025a1a\",0,\"lean_workbook_47129\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009047.lean\",\"25ada2541965f6395ed1bfbeab33c0bf8fd67e586966211d425f16ecce7b2198\",0,\"lean_workbook_4714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009048.lean\",\"c49b7697c31903728c3942045df43edfcfa3fb5bef4d7cc2f02c4f2d2f727a95\",0,\"lean_workbook_47146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178157,
+      "path": "data/train/p9e/goedel_workbook-000361-0000-b92f7317e282d68f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "b92f7317e282d68f00d5fad14d0a0b33f2e2d03b43b6431cb4132da0d59d7fb7"
+    },
+    {
+      "bytes": 41036,
+      "path": "data/dev/p9e/goedel_workbook-000361-0000-8db5e5673ded76f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8db5e5673ded76f7104bb2339bf4c7e34065a870d93b2266633e90bf6ab00b55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000362.json b/manifests/batches/goedel_workbook/000362.json
index c60a9642c000dd1fcdfde320ebb929f79b86d8c8..30d4f2339f48211c2f07a57717c43ff34ecb7acc 100644
--- a/manifests/batches/goedel_workbook/000362.json
+++ b/manifests/batches/goedel_workbook/000362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000362",
   "batch_fingerprint": "3b81eea0a048eb0e481c526f14d2954304566afaa2231ff8e7c03d850c855fe9",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000362-0000-863ec5f24edd99eb.parquet",
-      "sha256": "863ec5f24edd99eb11c3cd2ca2fca099fdc68e5aee14ea4b9f67b205f6cf7fb1",
-      "bytes": 177722,
-      "rows": 42,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000362-0000-212979ecc5d9f6b2.parquet",
-      "sha256": "212979ecc5d9f6b2d492da4e66eee57a982eaa9e74d06533cc3cff60d593bf0f",
-      "bytes": 27302,
-      "rows": 1,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47151",
     "goedel_workbook:lean_workbook_47158",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009069.lean\",\"79ae57b23aac5b2c1749463d6b3d72a3e6368c8875b2bc67e75076e833f8ee3e\",0,\"lean_workbook_47235\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009073.lean\",\"2dac5f0fae0b7eb77a74dcc9369e48a7706b2fd16884469a35f136131eb74aae\",0,\"lean_workbook_47243\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009074.lean\",\"1ad682f25d6b6265dc4069a01f876adf2a3798b6a7b7842e55a1d2ff2c9848e3\",0,\"lean_workbook_4725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177722,
+      "path": "data/train/p90/goedel_workbook-000362-0000-863ec5f24edd99eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "863ec5f24edd99eb11c3cd2ca2fca099fdc68e5aee14ea4b9f67b205f6cf7fb1"
+    },
+    {
+      "bytes": 27302,
+      "path": "data/internal_test/p90/goedel_workbook-000362-0000-212979ecc5d9f6b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "212979ecc5d9f6b2d492da4e66eee57a982eaa9e74d06533cc3cff60d593bf0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000363.json b/manifests/batches/goedel_workbook/000363.json
index 0da349221f6ba16bf293cbcbc60a46bae567b585..25372d7dc182e06b2c9e3badf746128dce0dfaf1 100644
--- a/manifests/batches/goedel_workbook/000363.json
+++ b/manifests/batches/goedel_workbook/000363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000363",
   "batch_fingerprint": "33c8f91dccb59bb274191a3f9315864cbe4df6edb51dcf77c0861618ed4d617b",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000363-0000-3955e49dfb3874de.parquet",
-      "sha256": "3955e49dfb3874de1c395a132bfb5842801a82fc61f1d8960ade91571db32aff",
-      "bytes": 137432,
-      "rows": 33,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000363-0000-e4b7a473e6612e52.parquet",
-      "sha256": "e4b7a473e6612e52fe1057e319fc0f2512fb94df503f2aeb8cb95b328e383905",
-      "bytes": 50090,
-      "rows": 5,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47266",
     "goedel_workbook:lean_workbook_47272",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009096.lean\",\"a5c0ab481b827a8fd15adff01c5535e423bd13473a4c22056dc6660f07387124\",0,\"lean_workbook_47335\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009097.lean\",\"3534cc3ac2cd6e9cf9e0439bffb8bf9fd9a5bad332bf7331ac474b59720924a3\",0,\"lean_workbook_47336\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009098.lean\",\"cb73f1e8c5e7eecfd2e482325083c336ceb8c5ff1acf9a6289486db9dc9c54dc\",0,\"lean_workbook_47338\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137432,
+      "path": "data/train/p1a/goedel_workbook-000363-0000-3955e49dfb3874de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3955e49dfb3874de1c395a132bfb5842801a82fc61f1d8960ade91571db32aff"
+    },
+    {
+      "bytes": 50090,
+      "path": "data/dev/p1a/goedel_workbook-000363-0000-e4b7a473e6612e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e4b7a473e6612e52fe1057e319fc0f2512fb94df503f2aeb8cb95b328e383905"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000364.json b/manifests/batches/goedel_workbook/000364.json
index dc5a6f8ac790503fde7c57c900fcbd191088f856..f73afdbf3cc97b1080b643664216859164bfa90a 100644
--- a/manifests/batches/goedel_workbook/000364.json
+++ b/manifests/batches/goedel_workbook/000364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000364",
   "batch_fingerprint": "0cf24832f18a9ad9325e4fda8b549dbf16e9e6c2c95644ce859f5b3330637c75",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000364-0000-56a4b0e32a405c18.parquet",
-      "sha256": "56a4b0e32a405c182920c2d6fe477307e76a7fbe415ba68d8f98b4a57111a115",
-      "bytes": 109842,
-      "rows": 24,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000364-0000-21d49273feac3276.parquet",
-      "sha256": "21d49273feac32769abbe8af8145cd72dd5a067d5909e55425ed33705297b1e6",
-      "bytes": 30854,
-      "rows": 1,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000364-0000-5f5ed622abbc6390.parquet",
-      "sha256": "5f5ed622abbc63903ba8fd83e8de882e16c65576fe101259c646b6c136feec32",
-      "bytes": 40051,
-      "rows": 4,
-      "revision": "217c4429b285f43e715147ad0a94ab48dfc5e422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4735",
     "goedel_workbook:lean_workbook_47358",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009122.lean\",\"7337d60ec07fdf49cd6e8eaa73187e6be23db7adf1f6d52a030da192831612ae\",0,\"lean_workbook_47451\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009124.lean\",\"90907d870fda7151e4de0568b0376bfedb54ee23c8c221c14dd7fc1a3a3beff4\",0,\"lean_workbook_47459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109842,
+      "path": "data/train/pfa/goedel_workbook-000364-0000-56a4b0e32a405c18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "56a4b0e32a405c182920c2d6fe477307e76a7fbe415ba68d8f98b4a57111a115"
+    },
+    {
+      "bytes": 30854,
+      "path": "data/dev/pfa/goedel_workbook-000364-0000-21d49273feac3276.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "21d49273feac32769abbe8af8145cd72dd5a067d5909e55425ed33705297b1e6"
+    },
+    {
+      "bytes": 40051,
+      "path": "data/internal_test/pfa/goedel_workbook-000364-0000-5f5ed622abbc6390.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5f5ed622abbc63903ba8fd83e8de882e16c65576fe101259c646b6c136feec32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000365.json b/manifests/batches/goedel_workbook/000365.json
index 92c3c3350f6d58a123ba963537476f79c918259e..148ea46d9880f8698e61d7db7fba6d429d3479f3 100644
--- a/manifests/batches/goedel_workbook/000365.json
+++ b/manifests/batches/goedel_workbook/000365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000365",
   "batch_fingerprint": "25627b5fbb1dd607c65831cd113acc910bf64e869afdcd0357b7543c048b46d3",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000365-0000-2d2b6589ed9f6aa8.parquet",
-      "sha256": "2d2b6589ed9f6aa83140a3a5672b03ce652c0f0e4161553bc88750dfe05e9f0b",
-      "bytes": 119598,
-      "rows": 26,
-      "revision": "59b03752da9d3ffff7c1dfc1a4007e54d5e8a979"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000365-0000-844bf570a6b62bf4.parquet",
-      "sha256": "844bf570a6b62bf4e1586ceb5ac8bd1013b325a24dfd497904231ee84f76db3c",
-      "bytes": 52895,
-      "rows": 6,
-      "revision": "59b03752da9d3ffff7c1dfc1a4007e54d5e8a979"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000365-0000-9aef952d55289e4b.parquet",
-      "sha256": "9aef952d55289e4bbe5bd73a8a759bc40ee7d0baa6680c0eceb265d1d24f0a08",
-      "bytes": 36644,
-      "rows": 1,
-      "revision": "59b03752da9d3ffff7c1dfc1a4007e54d5e8a979"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47472",
     "goedel_workbook:lean_workbook_4748",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009146.lean\",\"7d1de70d242dc8facfaa23daea21995bb9ea681c17e4dc8caa352c2e2817317e\",0,\"lean_workbook_47539\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009149.lean\",\"64ad69eaf15161fc544e4e356409abf5a1b48325f7533e3b35cfe6bb203e29dd\",0,\"lean_workbook_4755\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119598,
+      "path": "data/train/pdc/goedel_workbook-000365-0000-2d2b6589ed9f6aa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2d2b6589ed9f6aa83140a3a5672b03ce652c0f0e4161553bc88750dfe05e9f0b"
+    },
+    {
+      "bytes": 52895,
+      "path": "data/dev/pdc/goedel_workbook-000365-0000-844bf570a6b62bf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "844bf570a6b62bf4e1586ceb5ac8bd1013b325a24dfd497904231ee84f76db3c"
+    },
+    {
+      "bytes": 36644,
+      "path": "data/internal_test/pdc/goedel_workbook-000365-0000-9aef952d55289e4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9aef952d55289e4bbe5bd73a8a759bc40ee7d0baa6680c0eceb265d1d24f0a08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000366.json b/manifests/batches/goedel_workbook/000366.json
index d7250a9468c10d84a1f0e2fb10b322c2f00dd4ac..06482b2a218bffb934ff5932253e16e81c945bd7 100644
--- a/manifests/batches/goedel_workbook/000366.json
+++ b/manifests/batches/goedel_workbook/000366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000366",
   "batch_fingerprint": "4ffdf43fb05163f842b49b8c68310734049ea35adde6c5666e8c4be114c6571b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000366-0000-c246425fb6643f17.parquet",
-      "sha256": "c246425fb6643f17296c16379444439e30ddd6580950ddf2743995deafe240f4",
-      "bytes": 214882,
-      "rows": 63,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000366-0000-174249ce5be58df6.parquet",
-      "sha256": "174249ce5be58df6f7b6ad4917fde9add1f56b37338c0f37291ea96ed78bbf6c",
-      "bytes": 31247,
-      "rows": 2,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47555",
     "goedel_workbook:lean_workbook_47558",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009171.lean\",\"95cd0ef8a5fc8d9809a5fffd865858c097352cc096668f341d985020bafcb59e\",0,\"lean_workbook_47626\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009173.lean\",\"965945292cc61d26a5e92a2d1ae9cc2a93a6dbdb58aca31a2e5282f1519454e4\",0,\"lean_workbook_47628\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009174.lean\",\"501739c83b760a279949f5453280fae59dbc39fc460c173787ff1e037ae0eb1f\",0,\"lean_workbook_47631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214882,
+      "path": "data/train/p3d/goedel_workbook-000366-0000-c246425fb6643f17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "c246425fb6643f17296c16379444439e30ddd6580950ddf2743995deafe240f4"
+    },
+    {
+      "bytes": 31247,
+      "path": "data/dev/p3d/goedel_workbook-000366-0000-174249ce5be58df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "174249ce5be58df6f7b6ad4917fde9add1f56b37338c0f37291ea96ed78bbf6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000367.json b/manifests/batches/goedel_workbook/000367.json
index 04a931744cca424c62fbcac91fa6f63d11f33e99..61176a510906f37534e3bb9ca1816cebe4c7c147 100644
--- a/manifests/batches/goedel_workbook/000367.json
+++ b/manifests/batches/goedel_workbook/000367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000367",
   "batch_fingerprint": "6bc27258f1b097ac0f5038f8c0e513cf6bd72f6ef53bd3e846f9384bd8641920",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000367-0000-55980b958bf3da16.parquet",
-      "sha256": "55980b958bf3da169153e7c34af92ad8e8314fea05a6d03b26e7e98f907875f7",
-      "bytes": 91670,
-      "rows": 21,
-      "revision": "59b03752da9d3ffff7c1dfc1a4007e54d5e8a979"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000367-0000-f5998006e54689ca.parquet",
-      "sha256": "f5998006e54689cac5f58735d837a1b2c196a6cdcf1d582788f9d03a8fae6dba",
-      "bytes": 69532,
-      "rows": 13,
-      "revision": "59b03752da9d3ffff7c1dfc1a4007e54d5e8a979"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47634",
     "goedel_workbook:lean_workbook_47641",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009194.lean\",\"eeaed74f4f9247ed9eee26c292ccdb9d2441c8634b4ee8de8b3919593fb4a655\",0,\"lean_workbook_47692\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009198.lean\",\"af29761f651b04ae3e62023e36ba267b96e7336c1bf084b4b49fec12dfe14789\",0,\"lean_workbook_47728\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009199.lean\",\"82c6afb06f9707ded9065961e05fdeccb45a3ef9aca930c3e18175cb971e3069\",0,\"lean_workbook_47730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91670,
+      "path": "data/train/p12/goedel_workbook-000367-0000-55980b958bf3da16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "55980b958bf3da169153e7c34af92ad8e8314fea05a6d03b26e7e98f907875f7"
+    },
+    {
+      "bytes": 69532,
+      "path": "data/internal_test/p12/goedel_workbook-000367-0000-f5998006e54689ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f5998006e54689cac5f58735d837a1b2c196a6cdcf1d582788f9d03a8fae6dba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000368.json b/manifests/batches/goedel_workbook/000368.json
index 84c791c812f95da9943a25a5c5f73e6dda7d9b7e..414f104bdc64a109c1deaf48288694b14ee912d4 100644
--- a/manifests/batches/goedel_workbook/000368.json
+++ b/manifests/batches/goedel_workbook/000368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000368",
   "batch_fingerprint": "c2b18990d05e7dccfd018c49c619f2e2c6d80360f1c055e48473ce94e434b695",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000368-0000-fa6e08d4ddd95194.parquet",
-      "sha256": "fa6e08d4ddd951946d652d94c76cbc426162ac0ce40dcfeac6a8152c2638d93e",
-      "bytes": 174076,
-      "rows": 33,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000368-0000-f1a40204d2426822.parquet",
-      "sha256": "f1a40204d24268229b3aeb8ecb9d5dacf90273812768787e30680d51703d3e28",
-      "bytes": 28209,
-      "rows": 1,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000368-0000-4ad367dc110a1005.parquet",
-      "sha256": "4ad367dc110a1005192e03beaf0b096a3179aa1ebb622e3172f2debccf2f81e4",
-      "bytes": 39254,
-      "rows": 3,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47746",
     "goedel_workbook:lean_workbook_47747",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009222.lean\",\"bcc65e79f1feb423e98d8b0e75e76bbaf8e23da680c25e6752536c0bd3e37bde\",0,\"lean_workbook_47823\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009223.lean\",\"5f9f1592dd4ffed2696416a46da57599759cbf61685f572f4bb64f4c2c139fc0\",0,\"lean_workbook_47824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009224.lean\",\"4ba1f94fa09ce4d138a630af209ce0ec17d77b7565a76c9d47d81a6bddbe6515\",0,\"lean_workbook_47826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174076,
+      "path": "data/train/pfb/goedel_workbook-000368-0000-fa6e08d4ddd95194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "fa6e08d4ddd951946d652d94c76cbc426162ac0ce40dcfeac6a8152c2638d93e"
+    },
+    {
+      "bytes": 28209,
+      "path": "data/dev/pfb/goedel_workbook-000368-0000-f1a40204d2426822.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f1a40204d24268229b3aeb8ecb9d5dacf90273812768787e30680d51703d3e28"
+    },
+    {
+      "bytes": 39254,
+      "path": "data/internal_test/pfb/goedel_workbook-000368-0000-4ad367dc110a1005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4ad367dc110a1005192e03beaf0b096a3179aa1ebb622e3172f2debccf2f81e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000369.json b/manifests/batches/goedel_workbook/000369.json
index 6874f4f7b7eb3168b04841883b9b1135ae8a5ef5..125e9ce55f5ed0102f1e4121ecb2722aee9066f0 100644
--- a/manifests/batches/goedel_workbook/000369.json
+++ b/manifests/batches/goedel_workbook/000369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000369",
   "batch_fingerprint": "c47cde93d7a0d1957bc5a16cbf5e7feea15fa8ad4c5e349a23df4267ec9f7977",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000369-0000-7b2c3680f2456c96.parquet",
-      "sha256": "7b2c3680f2456c960084dc4c587b17ca96a93a32b1199d558b7039657ec6422d",
-      "bytes": 168750,
-      "rows": 35,
-      "revision": "c685c3457d95608a645f313da94e610bd8d78724"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000369-0000-57a9b34c8a7020fe.parquet",
-      "sha256": "57a9b34c8a7020fe84f6e580fea2c2af1d185d177260da19433942b98bbd9fd3",
-      "bytes": 45399,
-      "rows": 5,
-      "revision": "c685c3457d95608a645f313da94e610bd8d78724"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000369-0000-5805db8d6865508e.parquet",
-      "sha256": "5805db8d6865508e5f01002d99747356ae24c2fea8914ee1cd5af6412990ce72",
-      "bytes": 47741,
-      "rows": 7,
-      "revision": "c685c3457d95608a645f313da94e610bd8d78724"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47833",
     "goedel_workbook:lean_workbook_47855",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009243.lean\",\"43d33be5433b12ce0fca492bcffeef289c87d1f04845fd5091136b611c32e2e0\",0,\"lean_workbook_47914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009245.lean\",\"9aadae93156cf81fc0cb2e9e48733e67a93961bc46a9cb3b03dec15675f02e90\",0,\"lean_workbook_47921\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009247.lean\",\"87a1ad0d1134cdb0f9f55a27b3396756ec4c1b9efb045cf515e753946ddf0151\",0,\"lean_workbook_47931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168750,
+      "path": "data/train/p28/goedel_workbook-000369-0000-7b2c3680f2456c96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7b2c3680f2456c960084dc4c587b17ca96a93a32b1199d558b7039657ec6422d"
+    },
+    {
+      "bytes": 45399,
+      "path": "data/dev/p28/goedel_workbook-000369-0000-57a9b34c8a7020fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "57a9b34c8a7020fe84f6e580fea2c2af1d185d177260da19433942b98bbd9fd3"
+    },
+    {
+      "bytes": 47741,
+      "path": "data/internal_test/p28/goedel_workbook-000369-0000-5805db8d6865508e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5805db8d6865508e5f01002d99747356ae24c2fea8914ee1cd5af6412990ce72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000370.json b/manifests/batches/goedel_workbook/000370.json
index 6332d43b6f0faee250416d1c2ebe82e7047491db..670ce4959f3c6f9343c09ca4896375311ab44e13 100644
--- a/manifests/batches/goedel_workbook/000370.json
+++ b/manifests/batches/goedel_workbook/000370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000370",
   "batch_fingerprint": "4fe6cae23a52744b5a5f0b20ecdeb4ed860671cd50867f53e43c3f5a898abcd4",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000370-0000-73d41c3a094e2f8a.parquet",
-      "sha256": "73d41c3a094e2f8a55914a071318fc06d3e76a674952c2cb1345194f010cb628",
-      "bytes": 178929,
-      "rows": 39,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000370-0000-9d390131d0fd4836.parquet",
-      "sha256": "9d390131d0fd4836075559dd60ab1a767b1ee11cff409853a1e57daf2f4babab",
-      "bytes": 32024,
-      "rows": 1,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000370-0000-ff9a704d445c90b9.parquet",
-      "sha256": "ff9a704d445c90b920bf1fbb6e202e1a296f69aa81178dac44b8c0b63310495b",
-      "bytes": 31074,
-      "rows": 2,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_47940",
     "goedel_workbook:lean_workbook_47943",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009270.lean\",\"ecfeb8297e5cbf4575099a23621da30a28ba0caca52ca4751b153f0f2f510aba\",0,\"lean_workbook_48009\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009271.lean\",\"4a3fdf4a5cd4082b2c97b8cfb555face35ff8feee83e60d79b6dc108beab4206\",0,\"lean_workbook_48020\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009272.lean\",\"6f8d215b78c7e9ae8480c5a5be9c0f5407835ac5d5e06fbfacd7d2948d522551\",0,\"lean_workbook_48022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178929,
+      "path": "data/train/p9e/goedel_workbook-000370-0000-73d41c3a094e2f8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "73d41c3a094e2f8a55914a071318fc06d3e76a674952c2cb1345194f010cb628"
+    },
+    {
+      "bytes": 32024,
+      "path": "data/dev/p9e/goedel_workbook-000370-0000-9d390131d0fd4836.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9d390131d0fd4836075559dd60ab1a767b1ee11cff409853a1e57daf2f4babab"
+    },
+    {
+      "bytes": 31074,
+      "path": "data/internal_test/p9e/goedel_workbook-000370-0000-ff9a704d445c90b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ff9a704d445c90b920bf1fbb6e202e1a296f69aa81178dac44b8c0b63310495b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000371.json b/manifests/batches/goedel_workbook/000371.json
index 1553fc02f7afb6c71262cd7ecad3aaf0e76cd517..64f129cf87f5d8e55df1656912a61249b9ea9b11 100644
--- a/manifests/batches/goedel_workbook/000371.json
+++ b/manifests/batches/goedel_workbook/000371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000371",
   "batch_fingerprint": "1df311644d6b653f26cf82af19b5dda9eaeabff40cc804b6c42707d16837879f",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000371-0000-622f145862f43085.parquet",
-      "sha256": "622f145862f43085cd0b4c442fe238e8b6b4f0fc24a46b95c780955ddff5385f",
-      "bytes": 76495,
-      "rows": 23,
-      "revision": "a27e3d812bfb1e5246286d8bf021c229990b48c5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000371-0000-f584ef3c5c77b3ab.parquet",
-      "sha256": "f584ef3c5c77b3abeff88c3c6c1384fda96cc12b704e21c0a6e3a0aa25703970",
-      "bytes": 47798,
-      "rows": 9,
-      "revision": "a27e3d812bfb1e5246286d8bf021c229990b48c5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48048",
     "goedel_workbook:lean_workbook_4805",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009292.lean\",\"43028beac02dfacd5687dca92a089dbee5a32ef0ff351b03299abeedf70a1f00\",0,\"lean_workbook_48123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009293.lean\",\"fc981dd44cb42ec69091a880690a5cfcba38c1b5d93161b6135ed3c0a10cdb5d\",0,\"lean_workbook_48125\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009294.lean\",\"e7461b72f9bfec0924a531fa42c234ab53e46cf16890971395e175d1e67eb500\",0,\"lean_workbook_48130\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76495,
+      "path": "data/train/p87/goedel_workbook-000371-0000-622f145862f43085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "622f145862f43085cd0b4c442fe238e8b6b4f0fc24a46b95c780955ddff5385f"
+    },
+    {
+      "bytes": 47798,
+      "path": "data/internal_test/p87/goedel_workbook-000371-0000-f584ef3c5c77b3ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f584ef3c5c77b3abeff88c3c6c1384fda96cc12b704e21c0a6e3a0aa25703970"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000372.json b/manifests/batches/goedel_workbook/000372.json
index dae10795340c22ef43575ae765ee5301e1b1e308..d7b75db4d42880bec23a93a350a9c05cc957e281 100644
--- a/manifests/batches/goedel_workbook/000372.json
+++ b/manifests/batches/goedel_workbook/000372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000372",
   "batch_fingerprint": "72eaafadbf798adbd954624b297cf09345c6513fff337b8ef20973f58ad595ea",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000372-0000-1bba3461da81cba0.parquet",
-      "sha256": "1bba3461da81cba0919c4aa7a90c811b75d240966ac4fc41ca88f2d093ae7aca",
-      "bytes": 193006,
-      "rows": 50,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000372-0000-bb839126c1a15fab.parquet",
-      "sha256": "bb839126c1a15fab2f55b14fa3eaae3540ca1674cdc850a202b14dc390d63fc7",
-      "bytes": 25829,
-      "rows": 1,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000372-0000-8241ba0bd23f1558.parquet",
-      "sha256": "8241ba0bd23f1558e275a2b1a201beb3d6cced12a326bf49c9bb9b08ac97de09",
-      "bytes": 29484,
-      "rows": 1,
-      "revision": "eeb9e33353c490985c8149898b5f1d463ef7b52b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48147",
     "goedel_workbook:lean_workbook_4815",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009322.lean\",\"53eaf12cb3fd20750a4e7736222ca387a59d6230bd08c967c0547c3bbfed91ed\",0,\"lean_workbook_48240\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009323.lean\",\"be78b8b75e2c77078c4d6c2b94ce64bb900c152db3b07c0a64a222ba256e6c58\",0,\"lean_workbook_48242\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009324.lean\",\"a2f536a6bd77dfced9396d1d8da998c10ba257b67991d4d83239e486a1aeabab\",0,\"lean_workbook_48245\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193006,
+      "path": "data/train/pc3/goedel_workbook-000372-0000-1bba3461da81cba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "1bba3461da81cba0919c4aa7a90c811b75d240966ac4fc41ca88f2d093ae7aca"
+    },
+    {
+      "bytes": 25829,
+      "path": "data/dev/pc3/goedel_workbook-000372-0000-bb839126c1a15fab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bb839126c1a15fab2f55b14fa3eaae3540ca1674cdc850a202b14dc390d63fc7"
+    },
+    {
+      "bytes": 29484,
+      "path": "data/internal_test/pc3/goedel_workbook-000372-0000-8241ba0bd23f1558.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8241ba0bd23f1558e275a2b1a201beb3d6cced12a326bf49c9bb9b08ac97de09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000373.json b/manifests/batches/goedel_workbook/000373.json
index 69a8c5ce8eabb29a876b35de782cde9f6cd9d4ed..0d0a56b2aa329007d158170cc6c5ab00c1b70922 100644
--- a/manifests/batches/goedel_workbook/000373.json
+++ b/manifests/batches/goedel_workbook/000373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000373",
   "batch_fingerprint": "368e1f5ec9f35fb7696a5c19aefa8914594068e7f55e75e46fcb544ed195305c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000373-0000-9a706e51440190bc.parquet",
-      "sha256": "9a706e51440190bc775a1325dbd6acd3f4055a0434e1fbacaffcb691e0456d21",
-      "bytes": 161864,
-      "rows": 34,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000373-0000-e63455e805ebeec6.parquet",
-      "sha256": "e63455e805ebeec668372f4766447ccd4a3a675930e2dd388959b1158afda2fa",
-      "bytes": 67546,
-      "rows": 8,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48259",
     "goedel_workbook:lean_workbook_4826",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009347.lean\",\"ddd429cfa2ba975ef13e02e73820977e82e0cfc595fb574a804ed5499cbd55aa\",0,\"lean_workbook_48345\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009348.lean\",\"0eb2f4dd9ee9f4fd8c17101dd1cf4fb16414c8fda164cc182a25bc1cbc890634\",0,\"lean_workbook_48346\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009349.lean\",\"a4cf2cef5d0438f82d98bd5dfcbf0afb8b2e58287397a624e31f821533c71f9b\",0,\"lean_workbook_48351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161864,
+      "path": "data/train/pd8/goedel_workbook-000373-0000-9a706e51440190bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "9a706e51440190bc775a1325dbd6acd3f4055a0434e1fbacaffcb691e0456d21"
+    },
+    {
+      "bytes": 67546,
+      "path": "data/internal_test/pd8/goedel_workbook-000373-0000-e63455e805ebeec6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e63455e805ebeec668372f4766447ccd4a3a675930e2dd388959b1158afda2fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000374.json b/manifests/batches/goedel_workbook/000374.json
index dd3837666a11fcd0336ffc47f4962703e4b0d365..f3fbb1189a68106b176e7788422db1139f8f88aa 100644
--- a/manifests/batches/goedel_workbook/000374.json
+++ b/manifests/batches/goedel_workbook/000374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000374",
   "batch_fingerprint": "beccda71b077cf452f9cab79e2d015c630366a9bee9cc266ab0f7c10a2805a5a",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000374-0000-c720c5a53577d9e0.parquet",
-      "sha256": "c720c5a53577d9e06b839ed8f9997912e8ad2f30aad0706ec8292bd1a0b4b1af",
-      "bytes": 190742,
-      "rows": 45,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000374-0000-e6fc3af0abe7a2d0.parquet",
-      "sha256": "e6fc3af0abe7a2d05735af4cf5b8df19ac9043519a74b70ca1cd8cac246247ae",
-      "bytes": 43352,
-      "rows": 3,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48356",
     "goedel_workbook:lean_workbook_48358",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009371.lean\",\"99d9e1022483224482cec906b9b3982644d772a06d29b8f1f1d1bbbb570393d8\",0,\"lean_workbook_48450\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009372.lean\",\"f63bcf7c7b5fa0b6ba65102d409dab2464ead95f246e0f81d71008322bfea72b\",0,\"lean_workbook_48455\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009373.lean\",\"ec20866cb8bd5aa2947223cef2e11c8c59f21d2665e5f1bc09c93bec2c2ccad9\",0,\"lean_workbook_48456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190742,
+      "path": "data/train/p2f/goedel_workbook-000374-0000-c720c5a53577d9e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "c720c5a53577d9e06b839ed8f9997912e8ad2f30aad0706ec8292bd1a0b4b1af"
+    },
+    {
+      "bytes": 43352,
+      "path": "data/internal_test/p2f/goedel_workbook-000374-0000-e6fc3af0abe7a2d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e6fc3af0abe7a2d05735af4cf5b8df19ac9043519a74b70ca1cd8cac246247ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000375.json b/manifests/batches/goedel_workbook/000375.json
index cb098f7e4e0a7b06b23d230c600c08df591309d7..8220a5980d1028ca1cf217013838aac2ecc34eb5 100644
--- a/manifests/batches/goedel_workbook/000375.json
+++ b/manifests/batches/goedel_workbook/000375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000375",
   "batch_fingerprint": "2dff23e15384b4c62f98ef497fb333641be9bdeb237757e21aa9cc082077621b",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000375-0000-c3d3007c2353ff85.parquet",
-      "sha256": "c3d3007c2353ff852bd37dd5a6166698d1f8c31ecac27305cc36f7e28afd9251",
-      "bytes": 243730,
-      "rows": 55,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000375-0000-dcc6da3d79308304.parquet",
-      "sha256": "dcc6da3d79308304a8eb8d33df20b685599b09de74ecb6d84c73ede134e6028c",
-      "bytes": 30154,
-      "rows": 1,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48492",
     "goedel_workbook:lean_workbook_48498",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009393.lean\",\"f4d0d7506cc9789483a881702b45e721de20ba29fba907e9480a518b4b3dfdc8\",0,\"lean_workbook_48567\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009397.lean\",\"be3115e6f56e5d329272d7c37ae3fd13e9ea86581085bb016146470deb8949a3\",0,\"lean_workbook_4858\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009399.lean\",\"bdb214629a909936e85e8a57bc359f262c89e6fdf7ac29cbe2b5ac077b1afcf7\",0,\"lean_workbook_48588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243730,
+      "path": "data/train/p21/goedel_workbook-000375-0000-c3d3007c2353ff85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "c3d3007c2353ff852bd37dd5a6166698d1f8c31ecac27305cc36f7e28afd9251"
+    },
+    {
+      "bytes": 30154,
+      "path": "data/internal_test/p21/goedel_workbook-000375-0000-dcc6da3d79308304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dcc6da3d79308304a8eb8d33df20b685599b09de74ecb6d84c73ede134e6028c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000376.json b/manifests/batches/goedel_workbook/000376.json
index 9d84e2bbfe9b91a880ef30bfc3363739209ac7a6..b2bbba4019037dd34449e76d7da4361075fbbc59 100644
--- a/manifests/batches/goedel_workbook/000376.json
+++ b/manifests/batches/goedel_workbook/000376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000376",
   "batch_fingerprint": "13526bbe6102d88a6a314faef1035e8207428aa0bd5b23137791b458ee582bd7",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000376-0000-bcdd9bc79b5c13f9.parquet",
-      "sha256": "bcdd9bc79b5c13f9b3fd619653353dfa17d7d95f53a83e387b6ce4b307377a5e",
-      "bytes": 150142,
-      "rows": 32,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000376-0000-29cd2f774bba2a3b.parquet",
-      "sha256": "29cd2f774bba2a3bc899f021ca3ca601dba1a05293f86b249306b4365c27e353",
-      "bytes": 54243,
-      "rows": 8,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48590",
     "goedel_workbook:lean_workbook_48602",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009420.lean\",\"594669e4fe40bc322eedf372570fb8855ab9d869315e8a1ddbb8cf07e0d0c813\",0,\"lean_workbook_48656\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009421.lean\",\"2f94499e4838238f43b91a3309b3ed97c691e17173198aa0b0ee7cc84fce9369\",0,\"lean_workbook_48659\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009422.lean\",\"3909fc5515637a6860d3fbe6f11c0162f5729d84dba8a60bd914a9ff2ff7b9f2\",0,\"lean_workbook_48660\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150142,
+      "path": "data/train/p79/goedel_workbook-000376-0000-bcdd9bc79b5c13f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "bcdd9bc79b5c13f9b3fd619653353dfa17d7d95f53a83e387b6ce4b307377a5e"
+    },
+    {
+      "bytes": 54243,
+      "path": "data/internal_test/p79/goedel_workbook-000376-0000-29cd2f774bba2a3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "29cd2f774bba2a3bc899f021ca3ca601dba1a05293f86b249306b4365c27e353"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000377.json b/manifests/batches/goedel_workbook/000377.json
index c00ca38789e95324be741b764cf21deaffa1e193..8a34d65f7e676fde023168abafbc1930cadbfbc9 100644
--- a/manifests/batches/goedel_workbook/000377.json
+++ b/manifests/batches/goedel_workbook/000377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000377",
   "batch_fingerprint": "2688ec344a16b71ac0f464225b32d64b0557621a4b02defc2d6c4b083d9d9cd2",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000377-0000-60001e5c66b39a6b.parquet",
-      "sha256": "60001e5c66b39a6b58a5826298170d32de555b59e77c0241b6c3cca0720b284f",
-      "bytes": 196319,
-      "rows": 46,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000377-0000-07c82dd768ec2a48.parquet",
-      "sha256": "07c82dd768ec2a48fad654414668bc73da221dbe342bb2c1e324be5eb00b5058",
-      "bytes": 36400,
-      "rows": 2,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48678",
     "goedel_workbook:lean_workbook_48682",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009447.lean\",\"0cdec9948feda59bf55fe4d5919f6bb450359c07ac2339f684fa33038704e033\",0,\"lean_workbook_48769\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009448.lean\",\"30ab4b6f9a89814ef22a25372ddf73dafb70af3e53216e151d14afea4a4eb762\",0,\"lean_workbook_48772\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009449.lean\",\"c954241567a1f62fc8d81a19bf60363f0344bbf04a61e10ac7e5ce2521be8e0d\",0,\"lean_workbook_48776\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196319,
+      "path": "data/train/p3c/goedel_workbook-000377-0000-60001e5c66b39a6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "60001e5c66b39a6b58a5826298170d32de555b59e77c0241b6c3cca0720b284f"
+    },
+    {
+      "bytes": 36400,
+      "path": "data/internal_test/p3c/goedel_workbook-000377-0000-07c82dd768ec2a48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "07c82dd768ec2a48fad654414668bc73da221dbe342bb2c1e324be5eb00b5058"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000378.json b/manifests/batches/goedel_workbook/000378.json
index dd4ed52e8d1e8ea87f7060fb2e4b784629b78e4e..9813e1411eb9fd3c85ff192e42b820759b3e7682 100644
--- a/manifests/batches/goedel_workbook/000378.json
+++ b/manifests/batches/goedel_workbook/000378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000378",
   "batch_fingerprint": "42bbfc52e3313317a80f85fc9d1b8f10082534ac9a7f6e9e12fa895f055c7a6f",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000378-0000-87d5b9513f65087e.parquet",
-      "sha256": "87d5b9513f65087e28ac98a9f0d3a242c546629283fdac6e2a036b7f2c853c37",
-      "bytes": 174242,
-      "rows": 41,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000378-0000-c46912455ebff30d.parquet",
-      "sha256": "c46912455ebff30dcf2c8972ef929bdd9f7772ed859443aa80c06d253c722060",
-      "bytes": 30920,
-      "rows": 1,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000378-0000-a321bc111f6af2e7.parquet",
-      "sha256": "a321bc111f6af2e71042eb139fa23b11699f3e0109d1b56a0d7e5104fe410062",
-      "bytes": 63509,
-      "rows": 7,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_4878",
     "goedel_workbook:lean_workbook_48781",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009472.lean\",\"53fd09916e8a584c9336bcb702ff667776fc0f8351a3b010cf6099e092c8ec49\",0,\"lean_workbook_48897\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009473.lean\",\"89788a125315accf02ad5efa8d34d7d3e6da10f3c16a5da3c49c3185588ec822\",0,\"lean_workbook_48902\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009474.lean\",\"494b5c9172fa99fcecb3453547745f931bdecd51d213398d62a939f340d381b6\",0,\"lean_workbook_48919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174242,
+      "path": "data/train/pc0/goedel_workbook-000378-0000-87d5b9513f65087e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "87d5b9513f65087e28ac98a9f0d3a242c546629283fdac6e2a036b7f2c853c37"
+    },
+    {
+      "bytes": 30920,
+      "path": "data/dev/pc0/goedel_workbook-000378-0000-c46912455ebff30d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c46912455ebff30dcf2c8972ef929bdd9f7772ed859443aa80c06d253c722060"
+    },
+    {
+      "bytes": 63509,
+      "path": "data/internal_test/pc0/goedel_workbook-000378-0000-a321bc111f6af2e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a321bc111f6af2e71042eb139fa23b11699f3e0109d1b56a0d7e5104fe410062"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000379.json b/manifests/batches/goedel_workbook/000379.json
index 217b029b345f8eb836df61ba6034091d2b3deab1..b10edc0d3f86e65f1d7dd1b3cde20851522c8179 100644
--- a/manifests/batches/goedel_workbook/000379.json
+++ b/manifests/batches/goedel_workbook/000379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000379",
   "batch_fingerprint": "a1d094e413d81435fdfab288c42b19641401622c9bcfa7f4cfa4b4031f88bc73",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000379-0000-e3e7089122cd0f88.parquet",
-      "sha256": "e3e7089122cd0f884ccd5cb4b09943a67e95f951f3aa1b90ac1ecf4ea2405a96",
-      "bytes": 157643,
-      "rows": 34,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000379-0000-660630d5f13f4cf6.parquet",
-      "sha256": "660630d5f13f4cf6424429037d91bd3737360e4b77deb1e1c189ed98c13a9a6b",
-      "bytes": 37634,
-      "rows": 4,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_48957",
     "goedel_workbook:lean_workbook_48958",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009495.lean\",\"beb423e18e32f8ac5ffa2be1ab209a9abd7f9b204b62d5e0dd09b2de5ff34f79\",0,\"lean_workbook_49002\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009496.lean\",\"28dc3691c1c2a31a680be552d70b945d2a3db8d236839eb0baae65f95ab0a52a\",0,\"lean_workbook_49006\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009499.lean\",\"6707f95aaa2cc1e01d96fcdd2cbb40316102a3ffa81d890491927342e3ba954c\",0,\"lean_workbook_49020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157643,
+      "path": "data/train/pca/goedel_workbook-000379-0000-e3e7089122cd0f88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e3e7089122cd0f884ccd5cb4b09943a67e95f951f3aa1b90ac1ecf4ea2405a96"
+    },
+    {
+      "bytes": 37634,
+      "path": "data/internal_test/pca/goedel_workbook-000379-0000-660630d5f13f4cf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "660630d5f13f4cf6424429037d91bd3737360e4b77deb1e1c189ed98c13a9a6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000380.json b/manifests/batches/goedel_workbook/000380.json
index 1174f4a9447fd88771f999503afe179356ebef6d..03ad753f977ceca78f57908d87037ff182ba3aad 100644
--- a/manifests/batches/goedel_workbook/000380.json
+++ b/manifests/batches/goedel_workbook/000380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000380",
   "batch_fingerprint": "df9aff94a4463f97b1ebc08a1b65883dde90a99415613874aa7f81c1f9ebfff3",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000380-0000-87abd053d9587122.parquet",
-      "sha256": "87abd053d95871228fdc11b05832c25b300b4cfeab545f21bb4911fb4355b2b2",
-      "bytes": 177107,
-      "rows": 36,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000380-0000-25d552e220e0e3b6.parquet",
-      "sha256": "25d552e220e0e3b67cfec83c4447744a803e1d526356ce54999769e02caaed25",
-      "bytes": 71130,
-      "rows": 13,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000380-0000-53147ebc78169e9d.parquet",
-      "sha256": "53147ebc78169e9d4389f90a8292a91885406e21aeb9dbdb9303b1598cdd1579",
-      "bytes": 32146,
-      "rows": 2,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49025",
     "goedel_workbook:lean_workbook_49028",
@@ -248,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009522.lean\",\"81b46e5895f8090cb42ac2d9d4bd1a1e8155c0a68026700ccfa183e53c5ed5bb\",0,\"lean_workbook_49123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009523.lean\",\"3a5efc89d17bbdb95b300853a156c9676ce124947f4f16134519130433985fd5\",0,\"lean_workbook_49131\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009524.lean\",\"739dd0b45bf2fb6357fd73afe881772ecaf044387cd78231f9c3063551873298\",0,\"lean_workbook_49135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177107,
+      "path": "data/train/pb1/goedel_workbook-000380-0000-87abd053d9587122.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "87abd053d95871228fdc11b05832c25b300b4cfeab545f21bb4911fb4355b2b2"
+    },
+    {
+      "bytes": 71130,
+      "path": "data/internal_test/pb1/goedel_workbook-000380-0000-25d552e220e0e3b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "25d552e220e0e3b67cfec83c4447744a803e1d526356ce54999769e02caaed25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000381.json b/manifests/batches/goedel_workbook/000381.json
index 82883624fa0a3811d3e2eab1c9a0e671a6d12a25..62fd6156fa5d441a369b702648064d6f8709211e 100644
--- a/manifests/batches/goedel_workbook/000381.json
+++ b/manifests/batches/goedel_workbook/000381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000381",
   "batch_fingerprint": "78b04a14e9b2dadfe35d8640190efbc4d4d576ec5839e1cf88b3dcfe372b7c6b",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000381-0000-a80edb765f9fb9be.parquet",
-      "sha256": "a80edb765f9fb9be66ebb15085ea21472bf4da242bc1540810916a88a4e6a94a",
-      "bytes": 192559,
-      "rows": 34,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49137",
     "goedel_workbook:lean_workbook_49142",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009545.lean\",\"4c2607cefe87d47797f543ae3a054a51e14406d80cd2628351da80657e5a84b0\",0,\"lean_workbook_49233\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009546.lean\",\"cdf287e632617c1926146ee1e4a83d38611712780ae52bce84e4f5aabdf3ef90\",0,\"lean_workbook_4924\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009547.lean\",\"575c401ec1fde5411fd05bae56dc6031f0487ba24dc52c3cff96da483c7fbf28\",0,\"lean_workbook_49241\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192559,
+      "path": "data/train/pdf/goedel_workbook-000381-0000-a80edb765f9fb9be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "a80edb765f9fb9be66ebb15085ea21472bf4da242bc1540810916a88a4e6a94a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000382.json b/manifests/batches/goedel_workbook/000382.json
index 610ae47099033895df487fb9a1e993a744643429..beb3e429eea12e770a1eb07d4da65c86d83aa63c 100644
--- a/manifests/batches/goedel_workbook/000382.json
+++ b/manifests/batches/goedel_workbook/000382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000382",
   "batch_fingerprint": "8f5ca01373be2eb347b82fe11271e7cee441e048b0e3e530da0b89603597b092",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000382-0000-727532eb732fc97d.parquet",
-      "sha256": "727532eb732fc97d56fd427c97850a82f60f782d8db72bdb5e948ec0dbbdcc1a",
-      "bytes": 263984,
-      "rows": 48,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000382-0000-213fbe97313cee47.parquet",
-      "sha256": "213fbe97313cee4768b860bf21fb205e41ca606c9a0adf32f7a82bad007630f5",
-      "bytes": 44499,
-      "rows": 5,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49253",
     "goedel_workbook:lean_workbook_49257",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009570.lean\",\"ce803910321efee25ad5c5da0d9a8381d60bd0a06ec53dd51bebfd44eff6bdea\",0,\"lean_workbook_49312\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009572.lean\",\"dc08d17ac9549e22a389ef61707248478b957ae54623d0a821324580916933ce\",0,\"lean_workbook_49331\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009574.lean\",\"b531226e95052cb272b46ea590928217109f069b87b2e6471936c0792378d70e\",0,\"lean_workbook_49336\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263984,
+      "path": "data/train/p6d/goedel_workbook-000382-0000-727532eb732fc97d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "727532eb732fc97d56fd427c97850a82f60f782d8db72bdb5e948ec0dbbdcc1a"
+    },
+    {
+      "bytes": 44499,
+      "path": "data/internal_test/p6d/goedel_workbook-000382-0000-213fbe97313cee47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "213fbe97313cee4768b860bf21fb205e41ca606c9a0adf32f7a82bad007630f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000383.json b/manifests/batches/goedel_workbook/000383.json
index 1d36e83b7635792774ef2c38ccb6b89479dc5f58..c031cb817204d55efc02e1081a65931e48faae29 100644
--- a/manifests/batches/goedel_workbook/000383.json
+++ b/manifests/batches/goedel_workbook/000383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000383",
   "batch_fingerprint": "aabc769be78c9f9b4ccbd265ecf91d2a54420e378080bfd8545a1d646c9ac174",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000383-0000-bcacdfd9fa1d9bb1.parquet",
-      "sha256": "bcacdfd9fa1d9bb1ae335d2ba01b03c7e2a40968f6129cc2af0f31e196dcee61",
-      "bytes": 155055,
-      "rows": 35,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000383-0000-17fc14634ae1c314.parquet",
-      "sha256": "17fc14634ae1c314c2ba1be800b5c2a276e32094ed2dbf30968ec436b602940b",
-      "bytes": 54098,
-      "rows": 10,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000383-0000-2b693f82befa3154.parquet",
-      "sha256": "2b693f82befa3154c890ad713ab6cdf800dc1cae340982f19c2c3be09aafc237",
-      "bytes": 47307,
-      "rows": 3,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49347",
     "goedel_workbook:lean_workbook_49348",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009596.lean\",\"b44ab619652f50b369655c822d042334ed936aee481e2ead238c4339f9e87565\",0,\"lean_workbook_49421\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009597.lean\",\"c7d7129b6ad9ea6e89099b193aa170d2ff1d573648d08e7f9109fed2918d9325\",0,\"lean_workbook_49423\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009599.lean\",\"4df12715ff5bf9b1c49d68450d25e5d6fd54cc2e12f180cecd0a435779c6e2fb\",0,\"lean_workbook_49433\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155055,
+      "path": "data/train/pd1/goedel_workbook-000383-0000-bcacdfd9fa1d9bb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "bcacdfd9fa1d9bb1ae335d2ba01b03c7e2a40968f6129cc2af0f31e196dcee61"
+    },
+    {
+      "bytes": 54098,
+      "path": "data/dev/pd1/goedel_workbook-000383-0000-17fc14634ae1c314.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "17fc14634ae1c314c2ba1be800b5c2a276e32094ed2dbf30968ec436b602940b"
+    },
+    {
+      "bytes": 47307,
+      "path": "data/internal_test/pd1/goedel_workbook-000383-0000-2b693f82befa3154.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b693f82befa3154c890ad713ab6cdf800dc1cae340982f19c2c3be09aafc237"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000384.json b/manifests/batches/goedel_workbook/000384.json
index 82ad566eb19e2e888cbfc1fb3cc05a9356fd91fe..d6371004f8eb4e76363e9676cf0a479f32f5067e 100644
--- a/manifests/batches/goedel_workbook/000384.json
+++ b/manifests/batches/goedel_workbook/000384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000384",
   "batch_fingerprint": "1baad2e20343ef286c00bf3c3699ae9d4382f87bbbaa7d9fa6261bfec870c59f",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000384-0000-1dbad4feb62b7c7a.parquet",
-      "sha256": "1dbad4feb62b7c7a2af6470118013554fcd5f3869932e211190c9d8168468ba7",
-      "bytes": 234330,
-      "rows": 42,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49436",
     "goedel_workbook:lean_workbook_4944",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009612.lean\",\"d6d53c229513f96f0d399dc7c30c1b63d32adab99895b8eda216de1957351887\",0,\"lean_workbook_49471\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009613.lean\",\"810c54937016ce98adbffe3b0363abf0d15d232c09240aa58054a7165141ee3e\",0,\"lean_workbook_49472\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009623.lean\",\"c92e83660d6b121a1834d867d1ab32121637da94767d3d9b2fb4946928740cfb\",0,\"lean_workbook_49531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234330,
+      "path": "data/train/p30/goedel_workbook-000384-0000-1dbad4feb62b7c7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "1dbad4feb62b7c7a2af6470118013554fcd5f3869932e211190c9d8168468ba7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000385.json b/manifests/batches/goedel_workbook/000385.json
index 1525894e5e4970f0d38bdb0eafbdde1736148d41..1c3cb549ca0c556ddbcae91f60cf7ee6573a4a77 100644
--- a/manifests/batches/goedel_workbook/000385.json
+++ b/manifests/batches/goedel_workbook/000385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000385",
   "batch_fingerprint": "81f8c5ae6f614903162277371a6fbdddfed69f0244a1143788b71e02a477a616",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000385-0000-505ccd5943752c6f.parquet",
-      "sha256": "505ccd5943752c6fa26a98c5298e23f5e767014209c26a92f4ad64f38067f689",
-      "bytes": 109060,
-      "rows": 28,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000385-0000-6d6a047aaaeb9f5d.parquet",
-      "sha256": "6d6a047aaaeb9f5d0c057ab335eea7a6142ee1971fffe5b8010359487031acf1",
-      "bytes": 44672,
-      "rows": 6,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49566",
     "goedel_workbook:lean_workbook_49573",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009644.lean\",\"88fd75c53dec0ed154a62e307b515b4988632e1fc8dc20dbf901b09f98e5fe06\",0,\"lean_workbook_49616\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009647.lean\",\"018797a257b9a42ef15ce44ef42b838a04ed51c14692c01c97e1198b8b6bd4ee\",0,\"lean_workbook_49630\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009649.lean\",\"d8d3ee0302ff281549fe596f8c7c3accfa134671ae996a34a700ab65cc4c5c7c\",0,\"lean_workbook_49641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109060,
+      "path": "data/train/p2a/goedel_workbook-000385-0000-505ccd5943752c6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "505ccd5943752c6fa26a98c5298e23f5e767014209c26a92f4ad64f38067f689"
+    },
+    {
+      "bytes": 44672,
+      "path": "data/internal_test/p2a/goedel_workbook-000385-0000-6d6a047aaaeb9f5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6d6a047aaaeb9f5d0c057ab335eea7a6142ee1971fffe5b8010359487031acf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000386.json b/manifests/batches/goedel_workbook/000386.json
index fa3be0e85d3aa08f5b6ac93bd6e52f9c887a5500..278c23d7bfb65d4039b582117c5129a4ba34786b 100644
--- a/manifests/batches/goedel_workbook/000386.json
+++ b/manifests/batches/goedel_workbook/000386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000386",
   "batch_fingerprint": "3152c43cb0117573ba413ad37936efa38bf3f38a4a4d52a84a3a5b186373b5b0",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000386-0000-a5ab793ccef8f2ee.parquet",
-      "sha256": "a5ab793ccef8f2ee8dffeeb94b0ab59a6a614982f33d395fe8d810904dda7432",
-      "bytes": 107156,
-      "rows": 30,
-      "revision": "3287f8f0d7b89196c02c5c7420a67815f851bde4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49643",
     "goedel_workbook:lean_workbook_49650",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009669.lean\",\"c3ef9dddbb69b8ebbd7fa3079c2c8018342e75f6f4133c31cc53e29d10b09106\",0,\"lean_workbook_49708\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009671.lean\",\"e19b93a13481d42d10a528d7653f4d4a713e07ee17783b22c3d3fc671a4655cc\",0,\"lean_workbook_49710\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009672.lean\",\"f6190e18ff6769d902d4ee4ba73be6ed842f223fb0f3412319f650b9e3c33e75\",0,\"lean_workbook_49713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107156,
+      "path": "data/train/pab/goedel_workbook-000386-0000-a5ab793ccef8f2ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a5ab793ccef8f2ee8dffeeb94b0ab59a6a614982f33d395fe8d810904dda7432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000387.json b/manifests/batches/goedel_workbook/000387.json
index 4c0b8c298c74a6098eeded94df24a792dde80a69..8ed4de2a9725c16f29720c44a6e097755c17d66c 100644
--- a/manifests/batches/goedel_workbook/000387.json
+++ b/manifests/batches/goedel_workbook/000387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000387",
   "batch_fingerprint": "b4844fef0429850113a979e27e47d1c17c3302ab6b8b0cd21d232d913cb720f5",
   "evidence": {
@@ -191,29 +190,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000387-0000-ceeecd17d3490afd.parquet",
-      "sha256": "ceeecd17d3490afd95e005d02a72de0d41d99aa3c63079fa180b7f5d25763e99",
-      "bytes": 163563,
-      "rows": 35,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000387-0000-1b210c609e73c74f.parquet",
-      "sha256": "1b210c609e73c74f466458e69571ae2a13dd153ccf2f51257a0c7edbd544fbf6",
-      "bytes": 47213,
-      "rows": 9,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000387-0000-21d46ae5bffe4dc2.parquet",
-      "sha256": "21d46ae5bffe4dc2aafc5ffd3588339c9089fd819213d136110ac31e27881074",
-      "bytes": 34609,
-      "rows": 3,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49730",
     "goedel_workbook:lean_workbook_49736",
@@ -249,5 +226,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009695.lean\",\"328fa594b7d67398d3975948a700450c8227ae585235543e8e54429343b28d52\",0,\"lean_workbook_49794\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009696.lean\",\"29ccc2e0576bcbc4c9dac689b71bbd4bc3b12ab356883b5afee087150af240ab\",0,\"lean_workbook_49795\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009699.lean\",\"b73c3ba833ba4324e558f9cd9c0da52b93eb9195ebb4816fc2c12bf93bc741de\",0,\"lean_workbook_4980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163563,
+      "path": "data/train/p82/goedel_workbook-000387-0000-ceeecd17d3490afd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "ceeecd17d3490afd95e005d02a72de0d41d99aa3c63079fa180b7f5d25763e99"
+    },
+    {
+      "bytes": 47213,
+      "path": "data/dev/p82/goedel_workbook-000387-0000-1b210c609e73c74f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1b210c609e73c74f466458e69571ae2a13dd153ccf2f51257a0c7edbd544fbf6"
+    },
+    {
+      "bytes": 34609,
+      "path": "data/internal_test/p82/goedel_workbook-000387-0000-21d46ae5bffe4dc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "21d46ae5bffe4dc2aafc5ffd3588339c9089fd819213d136110ac31e27881074"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000388.json b/manifests/batches/goedel_workbook/000388.json
index 1e95b035c4354222a10068fb22cd1e962ef5636a..45a5b027235426c00a677f726ad8c1ea0667b099 100644
--- a/manifests/batches/goedel_workbook/000388.json
+++ b/manifests/batches/goedel_workbook/000388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000388",
   "batch_fingerprint": "b377549de125bd7cbba029550edd8be717d1942678baea5fabc21afef98c7ae5",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000388-0000-48d8e26dad1d7712.parquet",
-      "sha256": "48d8e26dad1d7712af25e4a0e2f854948724e5980b002fba9fcc1d1932339fca",
-      "bytes": 199708,
-      "rows": 51,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000388-0000-874b23c5deaa4ac4.parquet",
-      "sha256": "874b23c5deaa4ac41550825b0b5f666ad98f28822bbeb7098c4b1e88c8be66fc",
-      "bytes": 36522,
-      "rows": 5,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000388-0000-375329a34135a4d3.parquet",
-      "sha256": "375329a34135a4d372c23a6229e7d3a0edbc1e10cec0b51a311dc2f80bf5ab2c",
-      "bytes": 26244,
-      "rows": 1,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49802",
     "goedel_workbook:lean_workbook_49803",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009721.lean\",\"3887dd5546c1782d3c1575a0c5cc313a359cf2f98781d92e78d4ceec1c09ee45\",0,\"lean_workbook_49886\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009723.lean\",\"fe0427d1f4a287983178627de34dbcc7e0cb6a101de6e19f60c6c9da165c3408\",0,\"lean_workbook_49901\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009724.lean\",\"069a5538668f7624c0fe224e049d843aa3dc496ab4f5a1df3531f43b7b47eab2\",0,\"lean_workbook_49902\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199708,
+      "path": "data/train/p8c/goedel_workbook-000388-0000-48d8e26dad1d7712.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "48d8e26dad1d7712af25e4a0e2f854948724e5980b002fba9fcc1d1932339fca"
+    },
+    {
+      "bytes": 36522,
+      "path": "data/dev/p8c/goedel_workbook-000388-0000-874b23c5deaa4ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "874b23c5deaa4ac41550825b0b5f666ad98f28822bbeb7098c4b1e88c8be66fc"
+    },
+    {
+      "bytes": 26244,
+      "path": "data/internal_test/p8c/goedel_workbook-000388-0000-375329a34135a4d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "375329a34135a4d372c23a6229e7d3a0edbc1e10cec0b51a311dc2f80bf5ab2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000389.json b/manifests/batches/goedel_workbook/000389.json
index 51aed1d90ff8e98e14c9924e2919ac3c0383e3ed..48f5b74c7cb149a713a4aaa3c209926e8bcbd86c 100644
--- a/manifests/batches/goedel_workbook/000389.json
+++ b/manifests/batches/goedel_workbook/000389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000389",
   "batch_fingerprint": "f99d9314d88456d3e0d25611e430838af0920eb36c369d7afbc8c255300bd0e5",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000389-0000-a0119f3dc191318f.parquet",
-      "sha256": "a0119f3dc191318f619e0977966ccf31ee30ea22cb8401aab354f56a72185679",
-      "bytes": 211085,
-      "rows": 43,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000389-0000-08a6f127d0e11545.parquet",
-      "sha256": "08a6f127d0e11545f0ae57d208a73145ee3d1ad40d74528b7205167e8675f9b9",
-      "bytes": 33511,
-      "rows": 3,
-      "revision": "641bcb2db0fe42500c39c5659e00d01814b630d9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_49903",
     "goedel_workbook:lean_workbook_49904",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009747.lean\",\"ad0bcc4d30ca2951984fee0505ebd3c1d144a674a5848a2e44761774ce00b0db\",0,\"lean_workbook_49991\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009748.lean\",\"8da3d3d559d5f395b5efda57d02383bba58ccf508a47f1f28d7c58c9ecc5468e\",0,\"lean_workbook_49998\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009749.lean\",\"8c59f327b7f8b172a240c89933efe41d5d6e8d79d72a5c29414e3047ae7ad0bd\",0,\"lean_workbook_49999\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211085,
+      "path": "data/train/pd5/goedel_workbook-000389-0000-a0119f3dc191318f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "a0119f3dc191318f619e0977966ccf31ee30ea22cb8401aab354f56a72185679"
+    },
+    {
+      "bytes": 33511,
+      "path": "data/internal_test/pd5/goedel_workbook-000389-0000-08a6f127d0e11545.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "08a6f127d0e11545f0ae57d208a73145ee3d1ad40d74528b7205167e8675f9b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000390.json b/manifests/batches/goedel_workbook/000390.json
index 78a7e0efb2815eeb78e9b8d6c62c9f90c9362ba3..f465b2ae11c0f16c7168f45bf47bd3a2a2bb4715 100644
--- a/manifests/batches/goedel_workbook/000390.json
+++ b/manifests/batches/goedel_workbook/000390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000390",
   "batch_fingerprint": "028537e3918b7f957140f9e0c9da7dfe1c5eaa6177157ee944859a913b85dba2",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000390-0000-b96dd0ecc23b7027.parquet",
-      "sha256": "b96dd0ecc23b7027ee7ce7812d42392437cebf4fce6ad22882fc75a3ee803875",
-      "bytes": 175237,
-      "rows": 45,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000390-0000-4bd0a98977a4a2ff.parquet",
-      "sha256": "4bd0a98977a4a2ff8e7bdab08f7dfb166d5b73d606e551213ddb08ed5161d744",
-      "bytes": 36878,
-      "rows": 2,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50020",
     "goedel_workbook:lean_workbook_50035",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009771.lean\",\"bec5fae3af40a128d4b2053c5104a4aa1b69773b52247bf2e452779f7dc7e903\",0,\"lean_workbook_50098\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009772.lean\",\"ffebb21d9a72e966760917b1087bad5735fada204745121f5e2a896170a5e3d3\",0,\"lean_workbook_501\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009774.lean\",\"51552cdbd73cb53ad8d7bd2666d23d9ed893a9b39431586ef31b6c6f7c1dc1fa\",0,\"lean_workbook_50110\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175237,
+      "path": "data/train/pe1/goedel_workbook-000390-0000-b96dd0ecc23b7027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "b96dd0ecc23b7027ee7ce7812d42392437cebf4fce6ad22882fc75a3ee803875"
+    },
+    {
+      "bytes": 36878,
+      "path": "data/internal_test/pe1/goedel_workbook-000390-0000-4bd0a98977a4a2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4bd0a98977a4a2ff8e7bdab08f7dfb166d5b73d606e551213ddb08ed5161d744"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000391.json b/manifests/batches/goedel_workbook/000391.json
index 5c5232a3b2efe767ab1fb4f5fa1fcb8ee1280d04..13e7d4a488e806caa6779000b0bb2a842a356f28 100644
--- a/manifests/batches/goedel_workbook/000391.json
+++ b/manifests/batches/goedel_workbook/000391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000391",
   "batch_fingerprint": "4bdd6cd42bd2da30817d7dab7a3925a6cf303ab741476e32aa451dc4ec525815",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000391-0000-79f0daec7c861961.parquet",
-      "sha256": "79f0daec7c86196104b771d06f3c96aef4c99bd786fd9813d4f4fa14a199b33c",
-      "bytes": 84846,
-      "rows": 22,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000391-0000-67934883f8f507c7.parquet",
-      "sha256": "67934883f8f507c701285dd0712c89ffb0471c71edf62574c1319903000e5240",
-      "bytes": 60834,
-      "rows": 9,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50111",
     "goedel_workbook:lean_workbook_50120",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009795.lean\",\"bc9aff193b1a1e88b18bdb840b5ca66506fcba57754be56bcf690d7575c3a937\",0,\"lean_workbook_50231\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009798.lean\",\"bec7ca79cec60eedbaa7c13582358a486ef518f01b77249c1a260da1d8f1b42f\",0,\"lean_workbook_50236\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009799.lean\",\"4d253480915f7beb8e1b664f7e962595f20f23cf56461567e154565265dd1acd\",0,\"lean_workbook_50237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84846,
+      "path": "data/train/pad/goedel_workbook-000391-0000-79f0daec7c861961.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "79f0daec7c86196104b771d06f3c96aef4c99bd786fd9813d4f4fa14a199b33c"
+    },
+    {
+      "bytes": 60834,
+      "path": "data/internal_test/pad/goedel_workbook-000391-0000-67934883f8f507c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "67934883f8f507c701285dd0712c89ffb0471c71edf62574c1319903000e5240"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000392.json b/manifests/batches/goedel_workbook/000392.json
index 1470a545ed97ee9a2098e1c4ac8f97f6c8630d89..5d044cc57870a714ddcd8a91fbc6c2fe85788ec8 100644
--- a/manifests/batches/goedel_workbook/000392.json
+++ b/manifests/batches/goedel_workbook/000392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000392",
   "batch_fingerprint": "f88f2b5e173a90dd65c3c7620e495e05ca27af71e915df54f80b43adf72eadd4",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000392-0000-e3b40cd2843c32ef.parquet",
-      "sha256": "e3b40cd2843c32ef01c4d3b2e5e718a9d40edd6738c1e57489d3249adb9b225b",
-      "bytes": 107591,
-      "rows": 26,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000392-0000-f6fcba6bf953b07e.parquet",
-      "sha256": "f6fcba6bf953b07eea8e01995c0b70d765896c4d8fbf4e14cee686f3d4a722d2",
-      "bytes": 73170,
-      "rows": 15,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50238",
     "goedel_workbook:lean_workbook_50240",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009818.lean\",\"026285ab47da7382f1998a84c308ddd64408383b09fe9c2e1426b08d7d7a3325\",0,\"lean_workbook_5031\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009819.lean\",\"d78638a1345eda9f208a816aff6eb7353d9f04ab3f67255ae666e28f79dc2f78\",0,\"lean_workbook_50310\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009820.lean\",\"735f616b7c075ae3dc23df0965e4484593dc055695397d6cdfbdf3c8cac1841d\",0,\"lean_workbook_5032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107591,
+      "path": "data/train/p97/goedel_workbook-000392-0000-e3b40cd2843c32ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e3b40cd2843c32ef01c4d3b2e5e718a9d40edd6738c1e57489d3249adb9b225b"
+    },
+    {
+      "bytes": 73170,
+      "path": "data/internal_test/p97/goedel_workbook-000392-0000-f6fcba6bf953b07e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f6fcba6bf953b07eea8e01995c0b70d765896c4d8fbf4e14cee686f3d4a722d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000393.json b/manifests/batches/goedel_workbook/000393.json
index 3eeef7b93e867956d4e6f091805b2600e31343ca..25707b0c40e1b88ac353db2c7994fa630062e76f 100644
--- a/manifests/batches/goedel_workbook/000393.json
+++ b/manifests/batches/goedel_workbook/000393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000393",
   "batch_fingerprint": "2addb1baaeed0cf5bd8c9dfa0ac4051821c29e083c9955ffcb4cbaf3288efe1b",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000393-0000-a99130676eb8c4f7.parquet",
-      "sha256": "a99130676eb8c4f70043c57ddb7e1ef9e8537a0aa391f30556d8a4a2f010bcc9",
-      "bytes": 94867,
-      "rows": 23,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000393-0000-331212dc8d01ef16.parquet",
-      "sha256": "331212dc8d01ef16a6e667d2ceb92e37fd711eaffb262d587f72f7a0c53bfff8",
-      "bytes": 33800,
-      "rows": 4,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50352",
     "goedel_workbook:lean_workbook_5037",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009846.lean\",\"352a4e3dc767b5f464b79ae1346ea304df64e476fef5576056a65e1fd3a3c022\",0,\"lean_workbook_50421\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009847.lean\",\"8da8eeebb27ac6c19baa9483232d321a03aac5810dec40b6211c2be013063fcf\",0,\"lean_workbook_50424\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009849.lean\",\"ed4205c3060cfce67db39a055c47ef1033676c0388b886bb789dbcb07e88efe3\",0,\"lean_workbook_50426\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94867,
+      "path": "data/train/p59/goedel_workbook-000393-0000-a99130676eb8c4f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "a99130676eb8c4f70043c57ddb7e1ef9e8537a0aa391f30556d8a4a2f010bcc9"
+    },
+    {
+      "bytes": 33800,
+      "path": "data/internal_test/p59/goedel_workbook-000393-0000-331212dc8d01ef16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "331212dc8d01ef16a6e667d2ceb92e37fd711eaffb262d587f72f7a0c53bfff8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000394.json b/manifests/batches/goedel_workbook/000394.json
index 3ebe64ea5066ff3481ee023e71dace1a59942241..641d416d39c21990303c1a0bdccea1f1dfd9fa2d 100644
--- a/manifests/batches/goedel_workbook/000394.json
+++ b/manifests/batches/goedel_workbook/000394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000394",
   "batch_fingerprint": "b5ea7696f0f0903ebe8713c6fb2be652e57fdb952a25134fb5bf9ca94b28e5cf",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000394-0000-769cdbc992dfe0c1.parquet",
-      "sha256": "769cdbc992dfe0c1c5ea02f6f6da41bad47a84de0356d8748ad882204660e8c8",
-      "bytes": 193780,
-      "rows": 41,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000394-0000-706d5c7f57a90a77.parquet",
-      "sha256": "706d5c7f57a90a7773627a6e6d1ffd4cc4b70dcb9e7f05ba231d4945a89db664",
-      "bytes": 60874,
-      "rows": 9,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5043",
     "goedel_workbook:lean_workbook_50433",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009869.lean\",\"26242f2c9a5d6f944d9bfb3dbe5fd1a90e79e5dd297edf5da2fce5178bfd1563\",0,\"lean_workbook_505\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009870.lean\",\"2bcdb1b13da62430c4ede715b081ce420d8099b185f485c025ece10ded431ddf\",0,\"lean_workbook_50503\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009872.lean\",\"4e551c2a4e5712327c22b1cea6c197a0eb24210d5c0b11d509b7b1a7c1e221c0\",0,\"lean_workbook_50509\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193780,
+      "path": "data/train/p55/goedel_workbook-000394-0000-769cdbc992dfe0c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "769cdbc992dfe0c1c5ea02f6f6da41bad47a84de0356d8748ad882204660e8c8"
+    },
+    {
+      "bytes": 60874,
+      "path": "data/dev/p55/goedel_workbook-000394-0000-706d5c7f57a90a77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "706d5c7f57a90a7773627a6e6d1ffd4cc4b70dcb9e7f05ba231d4945a89db664"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000395.json b/manifests/batches/goedel_workbook/000395.json
index 73b0dca8e37ccdc23f7d811ef378416f6f351c1a..c8595cd65c038fb61e69ab5b0894951f8e92c59e 100644
--- a/manifests/batches/goedel_workbook/000395.json
+++ b/manifests/batches/goedel_workbook/000395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000395",
   "batch_fingerprint": "e2ffb3edede3cee50b31cfd0d3eef880928b655905a728be29c3647eef2ea224",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000395-0000-b52f5a8f4876fb0e.parquet",
-      "sha256": "b52f5a8f4876fb0eb533f59ee95dd37d5ed23901cc60ba87c2a4b2e5ba542a4f",
-      "bytes": 111265,
-      "rows": 30,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000395-0000-fddb914dea0cadea.parquet",
-      "sha256": "fddb914dea0cadea76bb3d6c0d1c3fb0381668a0ed430f52a9fa93828535131b",
-      "bytes": 43225,
-      "rows": 3,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000395-0000-2467e433e2fb6b3b.parquet",
-      "sha256": "2467e433e2fb6b3b919eb631cd629307cbc368958ce478f05c44fb4c8e16d3e2",
-      "bytes": 32580,
-      "rows": 1,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50519",
     "goedel_workbook:lean_workbook_50524",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009895.lean\",\"01c1cd9389cd293ecb7a10b4899422e28161f8aba94b7ee9090dc0264880b267\",0,\"lean_workbook_50593\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009896.lean\",\"81dab6b863ad0190e8e75e6727c578d637ee52ccd9ce2610fd112e404c457c27\",0,\"lean_workbook_50596\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009898.lean\",\"e25df725eeea2c50f291d27a17f0d7895fdaed59cb0e0db0af060f36ca080b24\",0,\"lean_workbook_5060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111265,
+      "path": "data/train/p1a/goedel_workbook-000395-0000-b52f5a8f4876fb0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "b52f5a8f4876fb0eb533f59ee95dd37d5ed23901cc60ba87c2a4b2e5ba542a4f"
+    },
+    {
+      "bytes": 43225,
+      "path": "data/dev/p1a/goedel_workbook-000395-0000-fddb914dea0cadea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fddb914dea0cadea76bb3d6c0d1c3fb0381668a0ed430f52a9fa93828535131b"
+    },
+    {
+      "bytes": 32580,
+      "path": "data/internal_test/p1a/goedel_workbook-000395-0000-2467e433e2fb6b3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2467e433e2fb6b3b919eb631cd629307cbc368958ce478f05c44fb4c8e16d3e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000396.json b/manifests/batches/goedel_workbook/000396.json
index 729edc368b6f04130ff0f06b251b1ace8b79c6ec..5d05102ba8efe00f43a1e2876363b0f03c126afd 100644
--- a/manifests/batches/goedel_workbook/000396.json
+++ b/manifests/batches/goedel_workbook/000396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000396",
   "batch_fingerprint": "590b08f2bb4ae9bc540df56bf0dfbd916127cc1949c9dab51d36d05b8d108cb0",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000396-0000-018c515b7046235d.parquet",
-      "sha256": "018c515b7046235d06920f3dd2704820813d0d0cf572ded37d7e365af206e725",
-      "bytes": 97900,
-      "rows": 27,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000396-0000-9abb75cedef5a017.parquet",
-      "sha256": "9abb75cedef5a01779af7b79878cf5386043a76e9a092eebda47c365616861aa",
-      "bytes": 32707,
-      "rows": 1,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50620",
     "goedel_workbook:lean_workbook_50623",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009915.lean\",\"482ec00d4587462d6b622867d1c3da4643cb1bf95744ddc02c3e1db182cf9ee5\",0,\"lean_workbook_50660\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009920.lean\",\"629c2b58536538aa86b10f51361f5d16b9635a50f2998d8967bd51edee853e9a\",0,\"lean_workbook_50690\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009922.lean\",\"5922be4cf747b12d7ed37f83d8b379f16266cceb77513b4da489e3ff2c32465b\",0,\"lean_workbook_50698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97900,
+      "path": "data/train/p77/goedel_workbook-000396-0000-018c515b7046235d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "018c515b7046235d06920f3dd2704820813d0d0cf572ded37d7e365af206e725"
+    },
+    {
+      "bytes": 32707,
+      "path": "data/dev/p77/goedel_workbook-000396-0000-9abb75cedef5a017.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9abb75cedef5a01779af7b79878cf5386043a76e9a092eebda47c365616861aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000397.json b/manifests/batches/goedel_workbook/000397.json
index 8f5067e9b9b1fbd3626020e5469578a8cde45ad3..755306a474ca52edae958bb13ca1c0f7d433b405 100644
--- a/manifests/batches/goedel_workbook/000397.json
+++ b/manifests/batches/goedel_workbook/000397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000397",
   "batch_fingerprint": "20d82c4a195737584d07ecfeafaf369f12d06a4883fb4eaa7e4878152c95cccc",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000397-0000-0a51c75d79362924.parquet",
-      "sha256": "0a51c75d793629240ac355c1a84411b90ceab51a5a0ff8e0160afdb6b95a70d4",
-      "bytes": 155622,
-      "rows": 37,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000397-0000-cd06624cd0524421.parquet",
-      "sha256": "cd06624cd052442167233cb7403253164e78f544c408b2a82588c03a8afdc403",
-      "bytes": 42328,
-      "rows": 5,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50706",
     "goedel_workbook:lean_workbook_50707",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009944.lean\",\"6b797139cbe64003734bdcd23ba9934611745a5246e4f0dd17e6f5a478763b59\",0,\"lean_workbook_50789\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009946.lean\",\"5d8d20b27093345ef50cf6f1b229e02a6398c141908e575ac1c79ec2e65770bf\",0,\"lean_workbook_50795\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009947.lean\",\"2ce8aec35ec682b2b368f1945878c6da9dddfeae229f7a11b04d370293cc76b6\",0,\"lean_workbook_508\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155622,
+      "path": "data/train/p8d/goedel_workbook-000397-0000-0a51c75d79362924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "0a51c75d793629240ac355c1a84411b90ceab51a5a0ff8e0160afdb6b95a70d4"
+    },
+    {
+      "bytes": 42328,
+      "path": "data/dev/p8d/goedel_workbook-000397-0000-cd06624cd0524421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cd06624cd052442167233cb7403253164e78f544c408b2a82588c03a8afdc403"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000398.json b/manifests/batches/goedel_workbook/000398.json
index 8cd5e097e948212966d9ef50511183252b36961d..7bc9be608f2536d5cf70a8914e438ec3c26811ae 100644
--- a/manifests/batches/goedel_workbook/000398.json
+++ b/manifests/batches/goedel_workbook/000398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000398",
   "batch_fingerprint": "c14c6975d61c7df0f3db8dcec8616f9ec41f8d04838316d7f6e05a03e4145b5d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000398-0000-f70e5dcd28a790da.parquet",
-      "sha256": "f70e5dcd28a790da6b77ecbc8200d4927d196de469526b586d601ac63aaa499e",
-      "bytes": 171548,
-      "rows": 35,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000398-0000-b03aee1049c4c702.parquet",
-      "sha256": "b03aee1049c4c7020bc9ab236129875294fb398d625536200471b186942a38d6",
-      "bytes": 29535,
-      "rows": 1,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50814",
     "goedel_workbook:lean_workbook_50819",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009969.lean\",\"a8f9b271056d9594590848417ba51d3469132c97a93ee2e273346c4ffcd587d7\",0,\"lean_workbook_50896\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009971.lean\",\"a21126cb27000f0ed97ceb23bd94087e6b99c20e80fd93d475fcc8c98d42a71d\",0,\"lean_workbook_50903\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009973.lean\",\"320c0ca5eb2886877da908e7cb98c1776da173b2c9d704fc1038ad3a3cfc0b62\",0,\"lean_workbook_5091\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171548,
+      "path": "data/train/pda/goedel_workbook-000398-0000-f70e5dcd28a790da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f70e5dcd28a790da6b77ecbc8200d4927d196de469526b586d601ac63aaa499e"
+    },
+    {
+      "bytes": 29535,
+      "path": "data/internal_test/pda/goedel_workbook-000398-0000-b03aee1049c4c702.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b03aee1049c4c7020bc9ab236129875294fb398d625536200471b186942a38d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000399.json b/manifests/batches/goedel_workbook/000399.json
index 9f36b897f6261aae3e41c00cb23eaea09b7c129a..2900b9e2ded2139ec6b2174ad95dc4eaae4548b9 100644
--- a/manifests/batches/goedel_workbook/000399.json
+++ b/manifests/batches/goedel_workbook/000399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000399",
   "batch_fingerprint": "cc85dda8d081f3b1fec5d37be9a02a6671fd151cff142989ae5fdd35d42fbf2d",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000399-0000-de277002bdf773f7.parquet",
-      "sha256": "de277002bdf773f716091c5d62c7494be79a090809fd95145b69281d3034d7bd",
-      "bytes": 87166,
-      "rows": 23,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000399-0000-b419557605a1b9d2.parquet",
-      "sha256": "b419557605a1b9d21b972c4fa7902483c0266a92109564e7529a994fc926e10b",
-      "bytes": 23133,
-      "rows": 1,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000399-0000-c8782696f06bdf6d.parquet",
-      "sha256": "c8782696f06bdf6dfcf714799b6e90ee342bceee562b5f71efac2eba5ac3ba31",
-      "bytes": 58591,
-      "rows": 13,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_50914",
     "goedel_workbook:lean_workbook_50915",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009996.lean\",\"f5b61f8033462e0b86f737496fc691d7f3509acfbe98ef04574553c797e4ef9d\",0,\"lean_workbook_51005\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009998.lean\",\"3c502bdb4a3e050b9c04b3caf630d5b9ad6b887ca48bb29d40d21be47df73a11\",0,\"lean_workbook_51015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_009999.lean\",\"aa8b85487db031f78ec3ee1e520fb64d42fbc9f4e5f2c2cb6970b4a78d568fec\",0,\"lean_workbook_51019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87166,
+      "path": "data/train/p61/goedel_workbook-000399-0000-de277002bdf773f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "de277002bdf773f716091c5d62c7494be79a090809fd95145b69281d3034d7bd"
+    },
+    {
+      "bytes": 23133,
+      "path": "data/dev/p61/goedel_workbook-000399-0000-b419557605a1b9d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b419557605a1b9d21b972c4fa7902483c0266a92109564e7529a994fc926e10b"
+    },
+    {
+      "bytes": 58591,
+      "path": "data/internal_test/p61/goedel_workbook-000399-0000-c8782696f06bdf6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c8782696f06bdf6dfcf714799b6e90ee342bceee562b5f71efac2eba5ac3ba31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000400.json b/manifests/batches/goedel_workbook/000400.json
index f9ee280abf8fc0339daa9344decd85927809e928..059e5ffb6f2678c04ec255c8b76fbe2f23055fa9 100644
--- a/manifests/batches/goedel_workbook/000400.json
+++ b/manifests/batches/goedel_workbook/000400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000400",
   "batch_fingerprint": "0885182513566899762dda8c90e93bbd3708befd1f86b0a22de8db80840b132d",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000400-0000-cc895a6fc2993e71.parquet",
-      "sha256": "cc895a6fc2993e71a636db5d4053525b614d90ddfdbb23698c260bd24fae1834",
-      "bytes": 214075,
-      "rows": 51,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000400-0000-06c2175c96121a5c.parquet",
-      "sha256": "06c2175c96121a5cd3320611112270ca75d7f1cda8e3f7e9cc0ad7880fdc4f7c",
-      "bytes": 29002,
-      "rows": 1,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51020",
     "goedel_workbook:lean_workbook_51024",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010020.lean\",\"6fe1901b0d8161bf042b45322aff6a6220b8c949ab9e2340d5059e22a5da58e7\",0,\"lean_workbook_51095\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010022.lean\",\"a93548a7331341a360d9c69d1b26f33456db804c644b77e4ad0ebcea5ee5d93f\",0,\"lean_workbook_5111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214075,
+      "path": "data/train/pc8/goedel_workbook-000400-0000-cc895a6fc2993e71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "cc895a6fc2993e71a636db5d4053525b614d90ddfdbb23698c260bd24fae1834"
+    },
+    {
+      "bytes": 29002,
+      "path": "data/internal_test/pc8/goedel_workbook-000400-0000-06c2175c96121a5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "06c2175c96121a5cd3320611112270ca75d7f1cda8e3f7e9cc0ad7880fdc4f7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000401.json b/manifests/batches/goedel_workbook/000401.json
index 7f1b0431c73db2b00bde44906f564947b7d0e13a..33e1bd2188e1a8fa627f8d0166568ffc75ce41a8 100644
--- a/manifests/batches/goedel_workbook/000401.json
+++ b/manifests/batches/goedel_workbook/000401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000401",
   "batch_fingerprint": "0a3a3231d8602f3a256489b22c47ab7d90a930570e3d5eacdcf2942555bada34",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000401-0000-e4f9781d73c8c6b4.parquet",
-      "sha256": "e4f9781d73c8c6b4bcf81955f554cc260f197b596778d297a6869f75403a1e55",
-      "bytes": 190596,
-      "rows": 40,
-      "revision": "95521aafa59878b17c5612a1b89d034743ca3469"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51143",
     "goedel_workbook:lean_workbook_51154",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010046.lean\",\"ee425e4b215749ec263640bd1cd637b1b21a2cf66bc62a295f0924bb62e612e7\",0,\"lean_workbook_51202\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010047.lean\",\"015b9d7e26afb1deaf748779533235f43e04dd8ce15dc6f4d6dc30f3d1c43e77\",0,\"lean_workbook_51206\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010048.lean\",\"ee42c13a8b0ee3f7bb89c531e7be1e0e37234363288037dbdbbdec2810a76b47\",0,\"lean_workbook_51209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190596,
+      "path": "data/train/pc0/goedel_workbook-000401-0000-e4f9781d73c8c6b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e4f9781d73c8c6b4bcf81955f554cc260f197b596778d297a6869f75403a1e55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000402.json b/manifests/batches/goedel_workbook/000402.json
index b40c63f2b57c9f408b8cdbcef25ccc3962854567..596642304455251327977ee8009296e9ada31e1e 100644
--- a/manifests/batches/goedel_workbook/000402.json
+++ b/manifests/batches/goedel_workbook/000402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000402",
   "batch_fingerprint": "7328e9e707eca8d43d70a7efe580ef092e17aaee50ea87dabd0ddcff3a20c88e",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000402-0000-762e6bbf2f3ea8f0.parquet",
-      "sha256": "762e6bbf2f3ea8f0258bdfc8adacb9ddc78b5ae567b068bd4de5ca9d5fd5816a",
-      "bytes": 108368,
-      "rows": 26,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000402-0000-fb9a52edf18e7681.parquet",
-      "sha256": "fb9a52edf18e76815da1c93216bba1c3dd815f4e2090aa2426b659b9167879c6",
-      "bytes": 48499,
-      "rows": 5,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51224",
     "goedel_workbook:lean_workbook_51237",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010072.lean\",\"b5ea13242f929c9e3488d3f97ea470b20dd24436d70bf11cca420991d47a1d76\",0,\"lean_workbook_513\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010073.lean\",\"57da3d5d874c21b9c8bedcbdb3a8099f2abf80bd199d4539e1d41c6db2a5d0f3\",0,\"lean_workbook_51301\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010074.lean\",\"b4d9b1a6aa30cbafc98bfc3f447aee55732a9ba1dfd3156d930e67f26676fc39\",0,\"lean_workbook_51313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108368,
+      "path": "data/train/p9a/goedel_workbook-000402-0000-762e6bbf2f3ea8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "762e6bbf2f3ea8f0258bdfc8adacb9ddc78b5ae567b068bd4de5ca9d5fd5816a"
+    },
+    {
+      "bytes": 48499,
+      "path": "data/dev/p9a/goedel_workbook-000402-0000-fb9a52edf18e7681.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fb9a52edf18e76815da1c93216bba1c3dd815f4e2090aa2426b659b9167879c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000403.json b/manifests/batches/goedel_workbook/000403.json
index ff140d27a7acce79961a4d8d37f4f5eb847266ca..82a1cf5d554220d123a73b9d951e2e83dca2c0ce 100644
--- a/manifests/batches/goedel_workbook/000403.json
+++ b/manifests/batches/goedel_workbook/000403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000403",
   "batch_fingerprint": "8762514e3073f75c04822ebd62a9ed6a9beaf9e10c16fecfe07a5c85895a8cce",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000403-0000-1b1fc85e9d43ea32.parquet",
-      "sha256": "1b1fc85e9d43ea32b153c14201d70d03452b7aeb1427768df93c7ed97b6c895e",
-      "bytes": 153757,
-      "rows": 33,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000403-0000-c1b54c832e3d72e6.parquet",
-      "sha256": "c1b54c832e3d72e6ac5fc9af93f61948a34a13d7dc5573eac4f01836b73876dc",
-      "bytes": 38069,
-      "rows": 2,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000403-0000-70c9333d1c2744c7.parquet",
-      "sha256": "70c9333d1c2744c77c91178837b5fb63aadef3cfa53dd8b025d786051e1e8f57",
-      "bytes": 47230,
-      "rows": 4,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51316",
     "goedel_workbook:lean_workbook_51317",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010095.lean\",\"53ce2192ffc65a5228b1abb8a49c122c6eab7d7d25b7ec54b1f27db56ad81f70\",0,\"lean_workbook_51404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010096.lean\",\"7574843c532e5cd0c880cb27d313eb0dd16351a5d9a9984be3cd36af11cdca3e\",0,\"lean_workbook_51408\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010097.lean\",\"93cdc2050aac9e3033819da004645b2c4becffac076ad7e0d4af5458cad73af3\",0,\"lean_workbook_51410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153757,
+      "path": "data/train/p37/goedel_workbook-000403-0000-1b1fc85e9d43ea32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1b1fc85e9d43ea32b153c14201d70d03452b7aeb1427768df93c7ed97b6c895e"
+    },
+    {
+      "bytes": 38069,
+      "path": "data/dev/p37/goedel_workbook-000403-0000-c1b54c832e3d72e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c1b54c832e3d72e6ac5fc9af93f61948a34a13d7dc5573eac4f01836b73876dc"
+    },
+    {
+      "bytes": 47230,
+      "path": "data/internal_test/p37/goedel_workbook-000403-0000-70c9333d1c2744c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "70c9333d1c2744c77c91178837b5fb63aadef3cfa53dd8b025d786051e1e8f57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000404.json b/manifests/batches/goedel_workbook/000404.json
index 16dd6cc8375a5ba68d73f15f11d3baeb306e9282..f78c754cbab99fadb432dbfbb2c07c42c6da37d5 100644
--- a/manifests/batches/goedel_workbook/000404.json
+++ b/manifests/batches/goedel_workbook/000404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000404",
   "batch_fingerprint": "21e37ffcd50ef0c012e5e0f8e77e6a0a3c2429c0b635eb6e94d9b6f5f1b73685",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000404-0000-e57e4818c3812308.parquet",
-      "sha256": "e57e4818c381230824e8950249b3d2baeb4654baca14f014f9925d9eefe332c0",
-      "bytes": 108372,
-      "rows": 28,
-      "revision": "59fbec2e5c812a69eb212fbe60e8fd9767b07513"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000404-0000-181b9439edc648cc.parquet",
-      "sha256": "181b9439edc648cc75650126e48e207a1c22310e3a8b0872f6670f1f38cda17e",
-      "bytes": 34894,
-      "rows": 3,
-      "revision": "59fbec2e5c812a69eb212fbe60e8fd9767b07513"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51419",
     "goedel_workbook:lean_workbook_5142",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010120.lean\",\"9c28dabf8aa0d89cbac44e91831cd473f5c82a51b889092e7d4c3902f562be55\",0,\"lean_workbook_51516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010123.lean\",\"f7a8c1eee2952427474a3af9f5524f14ee79cdbb21daa37396183cee984a5760\",0,\"lean_workbook_51531\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010124.lean\",\"4771e276b61140aac6da7a09af8edf4bf6b26b4daef3184d0d8368ac9e1526d8\",0,\"lean_workbook_51536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108372,
+      "path": "data/train/p12/goedel_workbook-000404-0000-e57e4818c3812308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "e57e4818c381230824e8950249b3d2baeb4654baca14f014f9925d9eefe332c0"
+    },
+    {
+      "bytes": 34894,
+      "path": "data/dev/p12/goedel_workbook-000404-0000-181b9439edc648cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "181b9439edc648cc75650126e48e207a1c22310e3a8b0872f6670f1f38cda17e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000405.json b/manifests/batches/goedel_workbook/000405.json
index e346cb25c7a5dd40dd33a6f8f0a7d54e9f8af116..34887af8dfee10f9dbfce6a3b4fc3640b0643391 100644
--- a/manifests/batches/goedel_workbook/000405.json
+++ b/manifests/batches/goedel_workbook/000405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000405",
   "batch_fingerprint": "21a1a3210e17dcecb9ab6987859983fffac9eabd49c7b3416f423cbe9f430391",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000405-0000-3b4a2e2cf827d0ad.parquet",
-      "sha256": "3b4a2e2cf827d0ad4e5d6799d257e9573b574a003274bcd3c68ff242b4011bd5",
-      "bytes": 111086,
-      "rows": 24,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000405-0000-56c339fc0da667f5.parquet",
-      "sha256": "56c339fc0da667f573e2d700fdc3dff4fac66cbdb956223cbe197352b45c9e0a",
-      "bytes": 39960,
-      "rows": 3,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000405-0000-99dbc0c4081a2ef8.parquet",
-      "sha256": "99dbc0c4081a2ef847a872de13e0972f607390cc8e6ec07de009a43d61d25eb1",
-      "bytes": 47974,
-      "rows": 5,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51547",
     "goedel_workbook:lean_workbook_51559",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010146.lean\",\"e21c65d45f53713678d954a7ee60073f2133b771684ca35c7db8415a86d3a4af\",0,\"lean_workbook_51618\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010147.lean\",\"c148dd6ccb803142f4364c461fc5857534429b137569ccf04d562847dd2967a5\",0,\"lean_workbook_51619\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010149.lean\",\"75b94638f7ef8f2113f3e11c284d44fe40e70b03df9b7f709eb81bad9363e9a5\",0,\"lean_workbook_51625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111086,
+      "path": "data/train/p36/goedel_workbook-000405-0000-3b4a2e2cf827d0ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "3b4a2e2cf827d0ad4e5d6799d257e9573b574a003274bcd3c68ff242b4011bd5"
+    },
+    {
+      "bytes": 39960,
+      "path": "data/dev/p36/goedel_workbook-000405-0000-56c339fc0da667f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "56c339fc0da667f573e2d700fdc3dff4fac66cbdb956223cbe197352b45c9e0a"
+    },
+    {
+      "bytes": 47974,
+      "path": "data/internal_test/p36/goedel_workbook-000405-0000-99dbc0c4081a2ef8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "99dbc0c4081a2ef847a872de13e0972f607390cc8e6ec07de009a43d61d25eb1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000406.json b/manifests/batches/goedel_workbook/000406.json
index 8bef62a32bc195abb85916484a579d9de39d0871..ea480e543bbdd94733335cfef43c7a5e4f96e9be 100644
--- a/manifests/batches/goedel_workbook/000406.json
+++ b/manifests/batches/goedel_workbook/000406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000406",
   "batch_fingerprint": "faeef53513cb4e43d5b3b4652d82b0d8b5364c28fefc4b889f03deed4309bfa6",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000406-0000-a5346b3ffaa9adb6.parquet",
-      "sha256": "a5346b3ffaa9adb67bb6e011b3e8b4b2441ae9b143c654339c42e5ea387f90e1",
-      "bytes": 85622,
-      "rows": 20,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000406-0000-ccf34418c5ad64e7.parquet",
-      "sha256": "ccf34418c5ad64e7517681dd7c11872da11a3842c587799ef134f5ad2636a609",
-      "bytes": 25959,
-      "rows": 1,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000406-0000-9d6cdd9be00311de.parquet",
-      "sha256": "9d6cdd9be00311de9eb3c779aa422950c8babe3ea813ba4cb0bb768ab500f931",
-      "bytes": 38503,
-      "rows": 2,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51629",
     "goedel_workbook:lean_workbook_51631",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010166.lean\",\"5de5497744bb5cdd51491c0263306b0562c17113570f7a18a21ad7c87b4fa045\",0,\"lean_workbook_51694\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010173.lean\",\"7f1e0559bc7fc035935d9f9bdaf0d3de021741ba8bae6cdee4c093aa73649a18\",0,\"lean_workbook_51720\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010174.lean\",\"4b38eea5cf7f2930c6ee6dacdb0a6ce0263560de421de22ef391814661654e87\",0,\"lean_workbook_51721\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85622,
+      "path": "data/train/p52/goedel_workbook-000406-0000-a5346b3ffaa9adb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a5346b3ffaa9adb67bb6e011b3e8b4b2441ae9b143c654339c42e5ea387f90e1"
+    },
+    {
+      "bytes": 25959,
+      "path": "data/dev/p52/goedel_workbook-000406-0000-ccf34418c5ad64e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ccf34418c5ad64e7517681dd7c11872da11a3842c587799ef134f5ad2636a609"
+    },
+    {
+      "bytes": 38503,
+      "path": "data/internal_test/p52/goedel_workbook-000406-0000-9d6cdd9be00311de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9d6cdd9be00311de9eb3c779aa422950c8babe3ea813ba4cb0bb768ab500f931"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000407.json b/manifests/batches/goedel_workbook/000407.json
index 7aff89a5dadb9fa203bd5b433dc82522f7bd8cbf..1cfbd079c097df98a4855749e22e3ca1a29aabc3 100644
--- a/manifests/batches/goedel_workbook/000407.json
+++ b/manifests/batches/goedel_workbook/000407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000407",
   "batch_fingerprint": "2626e43cfc72f3ec52c8d96bac07445f4b2d3ed2b72e60898b5c86966178e68d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000407-0000-5d6e0b91a7b3d99b.parquet",
-      "sha256": "5d6e0b91a7b3d99b8e946bfb4a4c50b7792fff2794a9929fc2c8cf126b6557c4",
-      "bytes": 229166,
-      "rows": 64,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000407-0000-dc07ce8799dc8f66.parquet",
-      "sha256": "dc07ce8799dc8f66dec6b2eca478266ae76b00eedec0c798733fa1707b681c3f",
-      "bytes": 34483,
-      "rows": 1,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000407-0000-9f7f38ec84444c11.parquet",
-      "sha256": "9f7f38ec84444c1173103d19542974589663f0d8911541d5e5f2ecebe961c190",
-      "bytes": 32571,
-      "rows": 2,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51727",
     "goedel_workbook:lean_workbook_51728",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010189.lean\",\"57b6aa48da072d9c126b645547e96a69cd9e20e7c123a169da9126c8a3bb2bc6\",0,\"lean_workbook_5176\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010192.lean\",\"336e39aadec733a36554d25c16f8b352518dccccc077580f41b18f789681bd03\",0,\"lean_workbook_5177\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010195.lean\",\"62f2dcad8b4a538cc7fbc8ad87d40e859763d617a09b40393e64f6e48049be63\",0,\"lean_workbook_51777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229166,
+      "path": "data/train/p5d/goedel_workbook-000407-0000-5d6e0b91a7b3d99b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "5d6e0b91a7b3d99b8e946bfb4a4c50b7792fff2794a9929fc2c8cf126b6557c4"
+    },
+    {
+      "bytes": 34483,
+      "path": "data/dev/p5d/goedel_workbook-000407-0000-dc07ce8799dc8f66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dc07ce8799dc8f66dec6b2eca478266ae76b00eedec0c798733fa1707b681c3f"
+    },
+    {
+      "bytes": 32571,
+      "path": "data/internal_test/p5d/goedel_workbook-000407-0000-9f7f38ec84444c11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9f7f38ec84444c1173103d19542974589663f0d8911541d5e5f2ecebe961c190"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000408.json b/manifests/batches/goedel_workbook/000408.json
index be047caca770a1a35cac0ac2afc903595dc213f5..d5354080db99c311ccac1568dd126fa96dbcf7b1 100644
--- a/manifests/batches/goedel_workbook/000408.json
+++ b/manifests/batches/goedel_workbook/000408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000408",
   "batch_fingerprint": "47aca3cfc54ed7f98d4b79431a047473be0661024c6b204ae8d2fcc94800e07e",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000408-0000-f3965c52b82c1c54.parquet",
-      "sha256": "f3965c52b82c1c5435c70fe66f2c11a9d3ef9b8c1407307c6316f5039417688e",
-      "bytes": 87818,
-      "rows": 24,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000408-0000-2b9790e4598d9eba.parquet",
-      "sha256": "2b9790e4598d9eba12b7158c6a90e2b8e365f54e0c5e7720bf9c03e9b45d4d1b",
-      "bytes": 46085,
-      "rows": 5,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51805",
     "goedel_workbook:lean_workbook_51807",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010218.lean\",\"1011128790500427a666f4647a5afa5d4c255d5d144b8a260adfde5af24cc0b6\",0,\"lean_workbook_51870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010220.lean\",\"d003f69a3fba0093afa19c1a51c25f393bd248361b153440330627d9ea7b440b\",0,\"lean_workbook_51876\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010224.lean\",\"06e9a5c4741c44ff10e24c0a72d8ab1fca6c0d5253df114cea9a773ad6020dce\",0,\"lean_workbook_51888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87818,
+      "path": "data/train/pf3/goedel_workbook-000408-0000-f3965c52b82c1c54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f3965c52b82c1c5435c70fe66f2c11a9d3ef9b8c1407307c6316f5039417688e"
+    },
+    {
+      "bytes": 46085,
+      "path": "data/internal_test/pf3/goedel_workbook-000408-0000-2b9790e4598d9eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2b9790e4598d9eba12b7158c6a90e2b8e365f54e0c5e7720bf9c03e9b45d4d1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000409.json b/manifests/batches/goedel_workbook/000409.json
index f58f9d624f2a15cb600fb28ecac2a928b76a4203..46ce96aa21cf51f21b32ba2762c4f2c5d49f46a3 100644
--- a/manifests/batches/goedel_workbook/000409.json
+++ b/manifests/batches/goedel_workbook/000409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000409",
   "batch_fingerprint": "44c52fb4fabe8a5bc496efcec108dd673ddff4d66b9cf0d3a1c9557b9690ad81",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000409-0000-3a4926496e717397.parquet",
-      "sha256": "3a4926496e717397d3da1a7262ceb9ebad171468c6572f2872674d1cf5d813b1",
-      "bytes": 119544,
-      "rows": 32,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000409-0000-319a33e4ac048484.parquet",
-      "sha256": "319a33e4ac0484844a2d83f643e98a29afca5a658f1f2e2d95a0201283a99631",
-      "bytes": 32835,
-      "rows": 2,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_51893",
     "goedel_workbook:lean_workbook_5190",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010246.lean\",\"69160b2f47288646af96f6c8b59be56c3ba41e8f7742698a08856e7792a6c232\",0,\"lean_workbook_51994\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010247.lean\",\"2942204eff4ca577638137dd2b618c78a325eb1297ced0d8dec28398760ba083\",0,\"lean_workbook_51995\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010248.lean\",\"b8a8837542afcac709b32c249c7eb0d9264e992b5537c0906463f964709396a1\",0,\"lean_workbook_51997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119544,
+      "path": "data/train/p6e/goedel_workbook-000409-0000-3a4926496e717397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "3a4926496e717397d3da1a7262ceb9ebad171468c6572f2872674d1cf5d813b1"
+    },
+    {
+      "bytes": 32835,
+      "path": "data/internal_test/p6e/goedel_workbook-000409-0000-319a33e4ac048484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "319a33e4ac0484844a2d83f643e98a29afca5a658f1f2e2d95a0201283a99631"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000410.json b/manifests/batches/goedel_workbook/000410.json
index 6beb8643ebab8145d4ecc9b2f9f5bcf9ee904ed1..4a43fd40861338d53e3bbb562edec203d1c93920 100644
--- a/manifests/batches/goedel_workbook/000410.json
+++ b/manifests/batches/goedel_workbook/000410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000410",
   "batch_fingerprint": "f27c74796a958cfd2c0cfb0f91201e5c270f2843a09612b780f2a05bdd9c56f9",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000410-0000-1eaea5f26c5dd54d.parquet",
-      "sha256": "1eaea5f26c5dd54da9c84e203723671eb5a0b2d9cca940e2858bcae2467116bb",
-      "bytes": 95139,
-      "rows": 29,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000410-0000-7fbb2ae1c6468988.parquet",
-      "sha256": "7fbb2ae1c64689884b5744070833776fd19adda15a8eb5ce3ad0e976e762489a",
-      "bytes": 58054,
-      "rows": 5,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000410-0000-8d8c735312ba5503.parquet",
-      "sha256": "8d8c735312ba550308c5b5f3a1ceb4536cb49a99b0f4e3c67b604083f827f2dc",
-      "bytes": 98933,
-      "rows": 17,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52002",
     "goedel_workbook:lean_workbook_52008",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010272.lean\",\"c2f2599c44076c8e9e67775d04e8dbbbba24604bf24e6d904fd34d859be4351d\",0,\"lean_workbook_52103\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010273.lean\",\"975e66a565341cd703c406f27aa5877dc3c5e8812eb90e838cbbc3658298af35\",0,\"lean_workbook_52104\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010274.lean\",\"b235e601ce706ff47584d0110eba2db752f01e7723652d393986d67b9462e597\",0,\"lean_workbook_52106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95139,
+      "path": "data/train/pc3/goedel_workbook-000410-0000-1eaea5f26c5dd54d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1eaea5f26c5dd54da9c84e203723671eb5a0b2d9cca940e2858bcae2467116bb"
+    },
+    {
+      "bytes": 58054,
+      "path": "data/dev/pc3/goedel_workbook-000410-0000-7fbb2ae1c6468988.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7fbb2ae1c64689884b5744070833776fd19adda15a8eb5ce3ad0e976e762489a"
+    },
+    {
+      "bytes": 98933,
+      "path": "data/internal_test/pc3/goedel_workbook-000410-0000-8d8c735312ba5503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8d8c735312ba550308c5b5f3a1ceb4536cb49a99b0f4e3c67b604083f827f2dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000411.json b/manifests/batches/goedel_workbook/000411.json
index 8a5994ace7c3966873793761d4ef37b50f06f5f6..526ff1b83dccd09e4d386fd1858adc2a5cade9d0 100644
--- a/manifests/batches/goedel_workbook/000411.json
+++ b/manifests/batches/goedel_workbook/000411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000411",
   "batch_fingerprint": "0ad5bff9ad4413f2ee0e96b5166f23f242e48903df260701c658d546670eb61f",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000411-0000-bf312abcd38eb7fa.parquet",
-      "sha256": "bf312abcd38eb7fa1de7e376a670ca5143124f3d58cddf6d29da2c87181dd2ee",
-      "bytes": 202993,
-      "rows": 55,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000411-0000-07910162e97917b1.parquet",
-      "sha256": "07910162e97917b11da1cbf653a402b18690709aba50b20985998dae1e74a25c",
-      "bytes": 39262,
-      "rows": 2,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52109",
     "goedel_workbook:lean_workbook_52113",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010295.lean\",\"0b9d0cc37edd7f5dab04611f21916f1eb83e4aed23cead2d8fc3a1d12677e470\",0,\"lean_workbook_52180\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010296.lean\",\"0a8f295d24b9f7f2151b37d8d49418f9a9fc61aa2cecf50d5463b02a2599bf0e\",0,\"lean_workbook_52185\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010299.lean\",\"3738e9ee3a3a63bf2915b22d700ed341ab18da6471e7331752d6cae84da856bb\",0,\"lean_workbook_52214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202993,
+      "path": "data/train/pb9/goedel_workbook-000411-0000-bf312abcd38eb7fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "bf312abcd38eb7fa1de7e376a670ca5143124f3d58cddf6d29da2c87181dd2ee"
+    },
+    {
+      "bytes": 39262,
+      "path": "data/dev/pb9/goedel_workbook-000411-0000-07910162e97917b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "07910162e97917b11da1cbf653a402b18690709aba50b20985998dae1e74a25c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000412.json b/manifests/batches/goedel_workbook/000412.json
index 077d07b1cc02745fc7b6bea4a3c5846a10801e32..43072b23b9ceb28db9968ee6a0f0f1bdda60a1cd 100644
--- a/manifests/batches/goedel_workbook/000412.json
+++ b/manifests/batches/goedel_workbook/000412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000412",
   "batch_fingerprint": "29ddd698561b697fa10bf1a1742f729afb2044a8588dfc6b06e0f63eaf228da9",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000412-0000-1bc5c72d6b74c418.parquet",
-      "sha256": "1bc5c72d6b74c418cebbbc7d15d994ebadec60213c1743ff25df84358badf6f0",
-      "bytes": 110330,
-      "rows": 21,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000412-0000-a95331c9241b729c.parquet",
-      "sha256": "a95331c9241b729c78732f8fd8bb1bee1c3006dff89ac16ae48b82ee04e02058",
-      "bytes": 53304,
-      "rows": 8,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000412-0000-4d15b8e48e70ea08.parquet",
-      "sha256": "4d15b8e48e70ea089ff6c386ade90f9acb3678c610b43cbf936360d665a9e5a1",
-      "bytes": 52333,
-      "rows": 6,
-      "revision": "92ea0793e776ee31dd6576102cde6f66ae334210"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52217",
     "goedel_workbook:lean_workbook_52220",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010322.lean\",\"1f4049a99fd20747945b29153804cee0947103581af41788e26727b08324b705\",0,\"lean_workbook_52292\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010323.lean\",\"d1658142813c7aec151bcf855977e0ce884503ddb8fa186790810dd9f53c3a20\",0,\"lean_workbook_52294\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010324.lean\",\"e547d31d0fa5cf5373159bd5e18c277c201b06a79a6a7bc698a76347f2b69df5\",0,\"lean_workbook_52296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110330,
+      "path": "data/train/pca/goedel_workbook-000412-0000-1bc5c72d6b74c418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1bc5c72d6b74c418cebbbc7d15d994ebadec60213c1743ff25df84358badf6f0"
+    },
+    {
+      "bytes": 53304,
+      "path": "data/dev/pca/goedel_workbook-000412-0000-a95331c9241b729c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a95331c9241b729c78732f8fd8bb1bee1c3006dff89ac16ae48b82ee04e02058"
+    },
+    {
+      "bytes": 52333,
+      "path": "data/internal_test/pca/goedel_workbook-000412-0000-4d15b8e48e70ea08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4d15b8e48e70ea089ff6c386ade90f9acb3678c610b43cbf936360d665a9e5a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000413.json b/manifests/batches/goedel_workbook/000413.json
index 5c128272ce94b17e8d871e7c822b71d28a2ee30e..b1cd6e58dbc40569ec1dc6c8abbd8f1d010ceff1 100644
--- a/manifests/batches/goedel_workbook/000413.json
+++ b/manifests/batches/goedel_workbook/000413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000413",
   "batch_fingerprint": "64a3d496c7fcce0660e3f5f8a9553dee380812f5c5b8ee86b907c4071f6f82d3",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000413-0000-9e1aa0725cd3cf30.parquet",
-      "sha256": "9e1aa0725cd3cf3029c7f67d1f8038583098329bf30d480efa5aa6dac4f5560a",
-      "bytes": 241084,
-      "rows": 45,
-      "revision": "17a50687fe5834ad3b1df3820e14937b26781e37"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000413-0000-74e564070a15b90c.parquet",
-      "sha256": "74e564070a15b90c5ab5720b31d17283ae7d6298cb4d2d167bf582187085e33f",
-      "bytes": 38254,
-      "rows": 4,
-      "revision": "17a50687fe5834ad3b1df3820e14937b26781e37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52297",
     "goedel_workbook:lean_workbook_5231",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010346.lean\",\"94d8e76cf8c144e17116e9b68b1fd9094711a809acfa570073396254162ff3a0\",0,\"lean_workbook_52371\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010347.lean\",\"16f4f6de089fddae63df3f0faff6244e236f9ce1baaf06b942d2ef6339a962f4\",0,\"lean_workbook_52379\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010349.lean\",\"aabf3b516bab9c8307f174b780702be101ae8da35c3ea0e2cbc42b86e7c63b36\",0,\"lean_workbook_5239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241084,
+      "path": "data/train/pe7/goedel_workbook-000413-0000-9e1aa0725cd3cf30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "9e1aa0725cd3cf3029c7f67d1f8038583098329bf30d480efa5aa6dac4f5560a"
+    },
+    {
+      "bytes": 38254,
+      "path": "data/dev/pe7/goedel_workbook-000413-0000-74e564070a15b90c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "74e564070a15b90c5ab5720b31d17283ae7d6298cb4d2d167bf582187085e33f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000414.json b/manifests/batches/goedel_workbook/000414.json
index 5f10338f506e6bbaed67b65231e329a50496cd60..af23fb701f1705210a1dd513a61f88dbbf1c5ed3 100644
--- a/manifests/batches/goedel_workbook/000414.json
+++ b/manifests/batches/goedel_workbook/000414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000414",
   "batch_fingerprint": "b455162d36092a0d4189c32cd31da2d8fcbfbd29b1fdce148f29b0ad0d18903c",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000414-0000-1799490439002d75.parquet",
-      "sha256": "1799490439002d75898979ef26c9dbdc2fe0e4032f7bb9bbea2cb031b061eb0e",
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-      "rows": 26,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
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-      "path": "data/dev/goedel_workbook-000414-0000-0eff92da609846ed.parquet",
-      "sha256": "0eff92da609846ede0da87f61717ed7f73e96478638428a36af32fa5b197c79b",
-      "bytes": 51087,
-      "rows": 6,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000414-0000-99436d5b953992be.parquet",
-      "sha256": "99436d5b953992bef12a016cd54aea201de6719773b2e27527471752ebd8384b",
-      "bytes": 33380,
-      "rows": 3,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52392",
     "goedel_workbook:lean_workbook_52395",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010369.lean\",\"f969b1f94b39a7952c74002f8b32d530ac9b80be97937179353758338d2ce780\",0,\"lean_workbook_52469\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 92491,
+      "path": "data/train/pc9/goedel_workbook-000414-0000-1799490439002d75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1799490439002d75898979ef26c9dbdc2fe0e4032f7bb9bbea2cb031b061eb0e"
+    },
+    {
+      "bytes": 51087,
+      "path": "data/dev/pc9/goedel_workbook-000414-0000-0eff92da609846ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0eff92da609846ede0da87f61717ed7f73e96478638428a36af32fa5b197c79b"
+    },
+    {
+      "bytes": 33380,
+      "path": "data/internal_test/pc9/goedel_workbook-000414-0000-99436d5b953992be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "99436d5b953992bef12a016cd54aea201de6719773b2e27527471752ebd8384b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000415.json b/manifests/batches/goedel_workbook/000415.json
index 1a5e228e13105e402c182fc6ac7bd61382008bfe..bbdf7640325a17459e3bd922cf5ce8a0f7e09149 100644
--- a/manifests/batches/goedel_workbook/000415.json
+++ b/manifests/batches/goedel_workbook/000415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000415",
   "batch_fingerprint": "7d8f6ee6972b057df6e26ad9cb5356fa51b891feb3d6c3837417341df0736e09",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000415-0000-a1e2ec653a70cb62.parquet",
-      "sha256": "a1e2ec653a70cb624d6c3075ac9f7ad1f50196dee997f0966ad72435f65d8c61",
-      "bytes": 81064,
-      "rows": 22,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000415-0000-e08253e0b3535394.parquet",
-      "sha256": "e08253e0b35353946c0253726843070b3c7975d6342a15c9d7b42123fdb3fea1",
-      "bytes": 36149,
-      "rows": 3,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000415-0000-22114d56e14eb1be.parquet",
-      "sha256": "22114d56e14eb1be9ff1363628ccd25eda800987b03aff98791a595a1d3bc9d0",
-      "bytes": 37729,
-      "rows": 6,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52504",
     "goedel_workbook:lean_workbook_52526",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010396.lean\",\"3b547ea07b4fab71e4c358dfab8b21775b944edef19f53dc3d799ce9b208fdde\",0,\"lean_workbook_52573\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 81064,
+      "path": "data/train/p7c/goedel_workbook-000415-0000-a1e2ec653a70cb62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "a1e2ec653a70cb624d6c3075ac9f7ad1f50196dee997f0966ad72435f65d8c61"
+    },
+    {
+      "bytes": 36149,
+      "path": "data/dev/p7c/goedel_workbook-000415-0000-e08253e0b3535394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e08253e0b35353946c0253726843070b3c7975d6342a15c9d7b42123fdb3fea1"
+    },
+    {
+      "bytes": 37729,
+      "path": "data/internal_test/p7c/goedel_workbook-000415-0000-22114d56e14eb1be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "22114d56e14eb1be9ff1363628ccd25eda800987b03aff98791a595a1d3bc9d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000416.json b/manifests/batches/goedel_workbook/000416.json
index 29d6978176f0be8562c596977664b0279f79ffa4..38e6af619263e47285b07702c3f5fb6f859f3407 100644
--- a/manifests/batches/goedel_workbook/000416.json
+++ b/manifests/batches/goedel_workbook/000416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000416",
   "batch_fingerprint": "01dc81a6d111b80cd0bfe8acbb92d0e5d3178ee350aa38a669b16d7ff603889f",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000416-0000-26e3bc59e418c9dc.parquet",
-      "sha256": "26e3bc59e418c9dc3db8dcc8ef117e744e9a4b6d989ed37b65e6bbd0e5ced649",
-      "bytes": 192769,
-      "rows": 47,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000416-0000-098852f673fd1ebf.parquet",
-      "sha256": "098852f673fd1ebf2c6851daaef222145af672ee0e2214f66847b48f4728111c",
-      "bytes": 48956,
-      "rows": 5,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52602",
     "goedel_workbook:lean_workbook_52611",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010421.lean\",\"3c869b07702f6685a14a13cde2e88fd6ef49b71a576478079348b2172605e895\",0,\"lean_workbook_5270\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 192769,
+      "path": "data/train/pf5/goedel_workbook-000416-0000-26e3bc59e418c9dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "26e3bc59e418c9dc3db8dcc8ef117e744e9a4b6d989ed37b65e6bbd0e5ced649"
+    },
+    {
+      "bytes": 48956,
+      "path": "data/dev/pf5/goedel_workbook-000416-0000-098852f673fd1ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "098852f673fd1ebf2c6851daaef222145af672ee0e2214f66847b48f4728111c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000417.json b/manifests/batches/goedel_workbook/000417.json
index 64ed1fdfdd84120c8ef7ceca3e70e75748846def..ac6f56f8b31d6759d3b603f5ce8842a2d7bbc6c8 100644
--- a/manifests/batches/goedel_workbook/000417.json
+++ b/manifests/batches/goedel_workbook/000417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000417",
   "batch_fingerprint": "d17302113356bae19ffb3b173341a6551f006aa3fc53d6dacba2abdd3f1d02c1",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000417-0000-1b1b030c92221487.parquet",
-      "sha256": "1b1b030c92221487400aa5c45e3806ad57be36b190e8672c07bb9430c1d71b3c",
-      "bytes": 311074,
-      "rows": 49,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000417-0000-e2b54161535cfa85.parquet",
-      "sha256": "e2b54161535cfa851ffc7b2197c0d9804d86f311348e0b88d5beeaa101ff02fb",
-      "bytes": 28418,
-      "rows": 1,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52745",
     "goedel_workbook:lean_workbook_52752",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010444.lean\",\"1dc9465d525abff53f8686a39309c73a0de14931cb3f7af98684e1610e2330f5\",0,\"lean_workbook_5280\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010449.lean\",\"0a9e6589423b25305b531faf4f713609908ca52249c46d808d28de8a29d917d7\",0,\"lean_workbook_52829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311074,
+      "path": "data/train/p49/goedel_workbook-000417-0000-1b1b030c92221487.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "1b1b030c92221487400aa5c45e3806ad57be36b190e8672c07bb9430c1d71b3c"
+    },
+    {
+      "bytes": 28418,
+      "path": "data/dev/p49/goedel_workbook-000417-0000-e2b54161535cfa85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e2b54161535cfa851ffc7b2197c0d9804d86f311348e0b88d5beeaa101ff02fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000418.json b/manifests/batches/goedel_workbook/000418.json
index 3072bbeb7ab7e748b6ee5ef66fc3cf782bed50df..17afb16fae0fb7c9d2cb0f3fbf64296c6f380aa3 100644
--- a/manifests/batches/goedel_workbook/000418.json
+++ b/manifests/batches/goedel_workbook/000418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000418",
   "batch_fingerprint": "4517b92ba1d432eb9344e3d7fe5159f94778c2708d85acf3609901824783f60a",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000418-0000-01bb8fedef9da886.parquet",
-      "sha256": "01bb8fedef9da88685bb9913001047e26494b27c3a70be8444cc7f56186b1a90",
-      "bytes": 198413,
-      "rows": 36,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000418-0000-ad26367b7a98cf5e.parquet",
-      "sha256": "ad26367b7a98cf5ef3355e9c34fed76f78982d7297ae39237ee2ac6fedfabb1a",
-      "bytes": 63381,
-      "rows": 11,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52858",
     "goedel_workbook:lean_workbook_52859",
@@ -264,5 +248,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 198413,
+      "path": "data/train/pfc/goedel_workbook-000418-0000-01bb8fedef9da886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "01bb8fedef9da88685bb9913001047e26494b27c3a70be8444cc7f56186b1a90"
+    },
+    {
+      "bytes": 63381,
+      "path": "data/internal_test/pfc/goedel_workbook-000418-0000-ad26367b7a98cf5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ad26367b7a98cf5ef3355e9c34fed76f78982d7297ae39237ee2ac6fedfabb1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000419.json b/manifests/batches/goedel_workbook/000419.json
index 3ff6052925cf0c8898cfb0b9d4f0be070afb6888..c9a45f8af5d9529b7abc024c0a4563097ba9b1ca 100644
--- a/manifests/batches/goedel_workbook/000419.json
+++ b/manifests/batches/goedel_workbook/000419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000419",
   "batch_fingerprint": "a39ec92ccc7f1e2ca2be73bd27107d3a65ccc9046410e6de60594e2b3164ae0f",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000419-0000-4b2606d5ba36031b.parquet",
-      "sha256": "4b2606d5ba36031bbfa5ee97f497caec6e012dc06be4d7536a5f96c438458f61",
-      "bytes": 257603,
-      "rows": 4,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/train/goedel_workbook-000419-0001-dccb7fb4325efa0c.parquet",
-      "sha256": "dccb7fb4325efa0c69c596ca826ca720b8e6ef5e722052a9ee9e7f741c9a8bb0",
-      "bytes": 339123,
-      "rows": 36,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000419-0000-a9ad984ff550716b.parquet",
-      "sha256": "a9ad984ff550716b482aa7c3e3a8e28b68c63149bd61229b81c3573dcda42fc0",
-      "bytes": 46637,
-      "rows": 2,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_52991",
     "goedel_workbook:lean_workbook_53000",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010495.lean\",\"a9815f8751f70cfe7b254eff9ae5280e4eae0f8b52ae388fd381ad4cf3f90fbe\",0,\"lean_workbook_5307\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 257603,
+      "path": "data/train/pcf/goedel_workbook-000419-0000-4b2606d5ba36031b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4b2606d5ba36031bbfa5ee97f497caec6e012dc06be4d7536a5f96c438458f61"
+    },
+    {
+      "bytes": 339123,
+      "path": "data/train/pcf/goedel_workbook-000419-0001-dccb7fb4325efa0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "dccb7fb4325efa0c69c596ca826ca720b8e6ef5e722052a9ee9e7f741c9a8bb0"
+    },
+    {
+      "bytes": 46637,
+      "path": "data/internal_test/pcf/goedel_workbook-000419-0000-a9ad984ff550716b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a9ad984ff550716b482aa7c3e3a8e28b68c63149bd61229b81c3573dcda42fc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000420.json b/manifests/batches/goedel_workbook/000420.json
index 58cdf0b7f883cc08f54ced5069876594e536f8af..393017dc350f0ae799b46afde5685add9e1ce662 100644
--- a/manifests/batches/goedel_workbook/000420.json
+++ b/manifests/batches/goedel_workbook/000420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000420",
   "batch_fingerprint": "8a07c3b4bd26d08bdde662587d9dfcf94981931b12d241fa7816bd15dd1d6d16",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000420-0000-b37f9fb957b5c395.parquet",
-      "sha256": "b37f9fb957b5c39579c5719e6788d8e257f13315aa4145b59f463f0d02f94e81",
-      "bytes": 215817,
-      "rows": 49,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000420-0000-d82332f3790e208a.parquet",
-      "sha256": "d82332f3790e208ab891fac8f381bb34466a74a5200c227d1d32e93ecd099e04",
-      "bytes": 42998,
-      "rows": 4,
-      "revision": "ac1a002ae82fc235dafdb1380817d882b1fce76c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53088",
     "goedel_workbook:lean_workbook_53097",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010522.lean\",\"9a32006bcae41a9305bc30f2fdcb1419aa4353bd84f4ab2e811cf901b6917244\",0,\"lean_workbook_53159\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010523.lean\",\"e882c6c5d80757e345b938bc346d9dc07f552eb433fb8ec9dca184ddafdf8447\",0,\"lean_workbook_53172\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010524.lean\",\"46d958eec5fb17541615de84e29920847aa0c89e5041c47796b93c7cef01677f\",0,\"lean_workbook_53176\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215817,
+      "path": "data/train/p58/goedel_workbook-000420-0000-b37f9fb957b5c395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "b37f9fb957b5c39579c5719e6788d8e257f13315aa4145b59f463f0d02f94e81"
+    },
+    {
+      "bytes": 42998,
+      "path": "data/internal_test/p58/goedel_workbook-000420-0000-d82332f3790e208a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d82332f3790e208ab891fac8f381bb34466a74a5200c227d1d32e93ecd099e04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000421.json b/manifests/batches/goedel_workbook/000421.json
index 2497cb411302642651769a6002ce31a53df7ace0..a5d18929aee03834bb781285859475edb2d24781 100644
--- a/manifests/batches/goedel_workbook/000421.json
+++ b/manifests/batches/goedel_workbook/000421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000421",
   "batch_fingerprint": "ca1827b6fd69f51603b7a18c417b89deef081f3f492f7491ed2cd07c9fb59cb8",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000421-0000-04c48899949f0be4.parquet",
-      "sha256": "04c48899949f0be40fd1a9c7c6b058581206e95695d1b29c5d3efbd85ce83d61",
-      "bytes": 230421,
-      "rows": 53,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000421-0000-e6b5237e03c66f31.parquet",
-      "sha256": "e6b5237e03c66f31f704ab896a057561e4596d8cabf0ea6f135b3314922afcfd",
-      "bytes": 60713,
-      "rows": 9,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53182",
     "goedel_workbook:lean_workbook_53190",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010546.lean\",\"6171e93952cc401aca52f778cac9457094c216aa1c75f4e2c3e637c10ebc1117\",0,\"lean_workbook_53250\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010549.lean\",\"f4d28eb5e7e6b9d76f9d4810f09ae4ec002734927e0075d00926ee79d327386d\",0,\"lean_workbook_53264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230421,
+      "path": "data/train/pd5/goedel_workbook-000421-0000-04c48899949f0be4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "04c48899949f0be40fd1a9c7c6b058581206e95695d1b29c5d3efbd85ce83d61"
+    },
+    {
+      "bytes": 60713,
+      "path": "data/internal_test/pd5/goedel_workbook-000421-0000-e6b5237e03c66f31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e6b5237e03c66f31f704ab896a057561e4596d8cabf0ea6f135b3314922afcfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000422.json b/manifests/batches/goedel_workbook/000422.json
index c41570eb24f677c11916d6f39a75f5a581cdc3b4..6c13a0f1231c008781f6ee1ff6cfe229b6afb365 100644
--- a/manifests/batches/goedel_workbook/000422.json
+++ b/manifests/batches/goedel_workbook/000422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000422",
   "batch_fingerprint": "7883464d26aeae3b5f383b712ca51411ac806c7b43adaf70131c160538bece0f",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000422-0000-d48d4a99e05e19f6.parquet",
-      "sha256": "d48d4a99e05e19f607ec8808eedbe79706a7f353d504953dcac4b3d8c8d0bace",
-      "bytes": 218370,
-      "rows": 38,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000422-0000-29d611da624197fb.parquet",
-      "sha256": "29d611da624197fbcfaba6b4ef847e6db27225fa8a3f95438dda33a4d5c6d8c8",
-      "bytes": 29088,
-      "rows": 1,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000422-0000-2ec4cbe571d48684.parquet",
-      "sha256": "2ec4cbe571d48684f3a4a863cf8cf1f3b9c2d7625864372f4a7dcbb0cfcb2068",
-      "bytes": 43368,
-      "rows": 3,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53270",
     "goedel_workbook:lean_workbook_53271",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010569.lean\",\"45c26893edff73f2f3f5c5a82d820afbbd2930692bfb3de10f433e35c40d0f53\",0,\"lean_workbook_53341\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010573.lean\",\"30665074f1a23b7f3edb56f9a1e00a441b7654873d0484ae429b3d012d15c807\",0,\"lean_workbook_53363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218370,
+      "path": "data/train/p04/goedel_workbook-000422-0000-d48d4a99e05e19f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d48d4a99e05e19f607ec8808eedbe79706a7f353d504953dcac4b3d8c8d0bace"
+    },
+    {
+      "bytes": 29088,
+      "path": "data/dev/p04/goedel_workbook-000422-0000-29d611da624197fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "29d611da624197fbcfaba6b4ef847e6db27225fa8a3f95438dda33a4d5c6d8c8"
+    },
+    {
+      "bytes": 43368,
+      "path": "data/internal_test/p04/goedel_workbook-000422-0000-2ec4cbe571d48684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2ec4cbe571d48684f3a4a863cf8cf1f3b9c2d7625864372f4a7dcbb0cfcb2068"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000423.json b/manifests/batches/goedel_workbook/000423.json
index f481d2e5112d947b71c3bf5170398dbf4c5e0034..ffc341590c96ef26f3464adb321134610a462f02 100644
--- a/manifests/batches/goedel_workbook/000423.json
+++ b/manifests/batches/goedel_workbook/000423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000423",
   "batch_fingerprint": "5c70e2796cbe80b65ff3bfdc2d2d8f6d808a7846b9dcb45721f7b363a6d18396",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000423-0000-fcc944c49617739b.parquet",
-      "sha256": "fcc944c49617739b7ad02158118b12b30dc2f880b5123c9bbfe69b9e933e7213",
-      "bytes": 101630,
-      "rows": 23,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000423-0000-73bcd3f64b52e382.parquet",
-      "sha256": "73bcd3f64b52e382e11af90875ae40ce5e634b982213e9b73dbc3b24437463d1",
-      "bytes": 31959,
-      "rows": 1,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53369",
     "goedel_workbook:lean_workbook_53380",
@@ -305,5 +289,21 @@
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010598.lean\",\"ee6245d0a7efcf10829abdbd7e35ac749907b57c41aca01eec3e5c712972f65e\",0,\"lean_workbook_53470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101630,
+      "path": "data/train/p41/goedel_workbook-000423-0000-fcc944c49617739b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "fcc944c49617739b7ad02158118b12b30dc2f880b5123c9bbfe69b9e933e7213"
+    },
+    {
+      "bytes": 31959,
+      "path": "data/dev/p41/goedel_workbook-000423-0000-73bcd3f64b52e382.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "73bcd3f64b52e382e11af90875ae40ce5e634b982213e9b73dbc3b24437463d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000424.json b/manifests/batches/goedel_workbook/000424.json
index 0be4716fb8f4cb2f0038d7aadb008ab7bc3e0ab0..080fc2a4f897bc9c8893a44527d6e4675140fac3 100644
--- a/manifests/batches/goedel_workbook/000424.json
+++ b/manifests/batches/goedel_workbook/000424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000424",
   "batch_fingerprint": "8d2a94b79387f4970cd11d2f43b594a9e73d31b64fa8ed87119a808b0555af8a",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000424-0000-ec0748cbb7dc9291.parquet",
-      "sha256": "ec0748cbb7dc929170b786746025c8fb3933716644ccb8cce3e1bde339ca0d73",
-      "bytes": 213556,
-      "rows": 34,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000424-0000-edede9ce869ff52e.parquet",
-      "sha256": "edede9ce869ff52ed94a1e481f618655c8222439d9fd68a70e8e1ce715ae844c",
-      "bytes": 54806,
-      "rows": 8,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53481",
     "goedel_workbook:lean_workbook_53488",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010621.lean\",\"c8bc03f058d8088014553f0517a3a344ade1cba2eef40731d477f9f273e4388c\",0,\"lean_workbook_53551\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010623.lean\",\"4ef2c09725869ef9c0b1d1ca683c2cb3c0597a0a93f76014bfebaf3bfa65c4a2\",0,\"lean_workbook_53568\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010624.lean\",\"0c58dc982136b9bee8511b7ec0c1784cfdc9f2787afdfe54bee3e40900dad7fe\",0,\"lean_workbook_5357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213556,
+      "path": "data/train/pdc/goedel_workbook-000424-0000-ec0748cbb7dc9291.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "ec0748cbb7dc929170b786746025c8fb3933716644ccb8cce3e1bde339ca0d73"
+    },
+    {
+      "bytes": 54806,
+      "path": "data/internal_test/pdc/goedel_workbook-000424-0000-edede9ce869ff52e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "edede9ce869ff52ed94a1e481f618655c8222439d9fd68a70e8e1ce715ae844c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000425.json b/manifests/batches/goedel_workbook/000425.json
index 3282e94cc4fedc99828fd31b8e73320d4a46021c..caf4a7c029d638521aff30fa6221573daca30647 100644
--- a/manifests/batches/goedel_workbook/000425.json
+++ b/manifests/batches/goedel_workbook/000425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000425",
   "batch_fingerprint": "b8cf92703f0877db1b15953db506ec590dd16c7b52ff23ce6f9ad9936ebd55da",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000425-0000-64a098e6f7879242.parquet",
-      "sha256": "64a098e6f7879242ec83f88201d3fbd9e07e39199e366a8c972be0624f065b87",
-      "bytes": 147185,
-      "rows": 30,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000425-0000-5e27fe8aa7ad02f9.parquet",
-      "sha256": "5e27fe8aa7ad02f91b429f1acaa09b8e01270c5d28172e82344727cc06cfea59",
-      "bytes": 37355,
-      "rows": 3,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000425-0000-a063485d7f4a23fe.parquet",
-      "sha256": "a063485d7f4a23fe6a50c9a26a91869da270643dcd7c9f250bc56609a6f2d60a",
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-      "rows": 5,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53578",
     "goedel_workbook:lean_workbook_53591",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010643.lean\",\"36495214c6ee50f3784200b780e58cadad97ee1470dbf2a5b69c78f2db653746\",0,\"lean_workbook_53641\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010647.lean\",\"532b74bf58e80bf083bb3981080c99fbe09b85fd1d72a4341151d467872b7839\",0,\"lean_workbook_53665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010648.lean\",\"b8f4ed521ece2dd13dc285db8fe5b7b2c978648159888755c41f7c2ecba8de6d\",0,\"lean_workbook_53674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147185,
+      "path": "data/train/pe5/goedel_workbook-000425-0000-64a098e6f7879242.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "64a098e6f7879242ec83f88201d3fbd9e07e39199e366a8c972be0624f065b87"
+    },
+    {
+      "bytes": 37355,
+      "path": "data/dev/pe5/goedel_workbook-000425-0000-5e27fe8aa7ad02f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5e27fe8aa7ad02f91b429f1acaa09b8e01270c5d28172e82344727cc06cfea59"
+    },
+    {
+      "bytes": 51114,
+      "path": "data/internal_test/pe5/goedel_workbook-000425-0000-a063485d7f4a23fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a063485d7f4a23fe6a50c9a26a91869da270643dcd7c9f250bc56609a6f2d60a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000426.json b/manifests/batches/goedel_workbook/000426.json
index c2f3e852ab9ce547c20db0b4cfe7cdd718e4a30c..7e4845730ee513524b535211e0beeae002f0109f 100644
--- a/manifests/batches/goedel_workbook/000426.json
+++ b/manifests/batches/goedel_workbook/000426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000426",
   "batch_fingerprint": "e234394ce8fc4bc7dc746d2d43e6f657d82e65af40bd9e0e40acd6d4313e1a7b",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000426-0000-44d3a7faeedf45e6.parquet",
-      "sha256": "44d3a7faeedf45e6fd4c09f42a7ae01dadcbf648d39a7ab1717f0643f89c9916",
-      "bytes": 130476,
-      "rows": 29,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000426-0000-7e0e814dac55064c.parquet",
-      "sha256": "7e0e814dac55064ce923555a8df81e95d08752dd995f091a01a46240134450e5",
-      "bytes": 32376,
-      "rows": 1,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000426-0000-649a1fa18bf7d830.parquet",
-      "sha256": "649a1fa18bf7d830c9709cec32abde2f98b184598545224b16efb56c88eac0c0",
-      "bytes": 36266,
-      "rows": 1,
-      "revision": "18aa8a66dee1c7be0a91094e152c3a30212dbbb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53679",
     "goedel_workbook:lean_workbook_53681",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010671.lean\",\"d2c0ba0ffb516ac94955876b61f5d65f30f8f9add21869dca4129b8cade69321\",0,\"lean_workbook_5377\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010673.lean\",\"e8b43fd846a56643072f10a6cfbc77d0e1f0a4bcb92ac0e5331ed3598b0e554c\",0,\"lean_workbook_53775\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010674.lean\",\"479b060b3c6e8d08ca41e394ca054e98817b634893d8ad9c2d406b5ad029144c\",0,\"lean_workbook_53777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130476,
+      "path": "data/train/p02/goedel_workbook-000426-0000-44d3a7faeedf45e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "44d3a7faeedf45e6fd4c09f42a7ae01dadcbf648d39a7ab1717f0643f89c9916"
+    },
+    {
+      "bytes": 32376,
+      "path": "data/dev/p02/goedel_workbook-000426-0000-7e0e814dac55064c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7e0e814dac55064ce923555a8df81e95d08752dd995f091a01a46240134450e5"
+    },
+    {
+      "bytes": 36266,
+      "path": "data/internal_test/p02/goedel_workbook-000426-0000-649a1fa18bf7d830.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "649a1fa18bf7d830c9709cec32abde2f98b184598545224b16efb56c88eac0c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000427.json b/manifests/batches/goedel_workbook/000427.json
index 701a5b1140e2e2cd553fd04e2c8394119859f407..e9529f46f9bb2490518da565fef2be438b87d480 100644
--- a/manifests/batches/goedel_workbook/000427.json
+++ b/manifests/batches/goedel_workbook/000427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000427",
   "batch_fingerprint": "5173d561c5d1a3f367bd7b3b5630273ae3b6d65d119d2bb64c50f0d2a912fb53",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000427-0000-ab9285b57651c6ad.parquet",
-      "sha256": "ab9285b57651c6ad7c73fd69600e91c91519d314df7c9def1141732be0831c55",
-      "bytes": 181761,
-      "rows": 44,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000427-0000-e6e26866662b6798.parquet",
-      "sha256": "e6e26866662b679837af53a06da6e70fc2ad24d3d1a42de323b994e3141cbe30",
-      "bytes": 38979,
-      "rows": 2,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53778",
     "goedel_workbook:lean_workbook_53779",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010692.lean\",\"01abc1d0c40f4c85063f75e12e8745b2f472fdf524b7c840733efc58866daf80\",0,\"lean_workbook_53845\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010693.lean\",\"771f0756c36d9beab1d538d6c3b3cc594ec48503ae26893e40dcc95d791b8641\",0,\"lean_workbook_53846\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010695.lean\",\"64db752efb86c4c40be9932ea01bd89151fb21eab63a81c208a6c613dc5bf199\",0,\"lean_workbook_5386\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181761,
+      "path": "data/train/pb7/goedel_workbook-000427-0000-ab9285b57651c6ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "ab9285b57651c6ad7c73fd69600e91c91519d314df7c9def1141732be0831c55"
+    },
+    {
+      "bytes": 38979,
+      "path": "data/dev/pb7/goedel_workbook-000427-0000-e6e26866662b6798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e6e26866662b679837af53a06da6e70fc2ad24d3d1a42de323b994e3141cbe30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000428.json b/manifests/batches/goedel_workbook/000428.json
index fd5f92dedf2e93cb6f4868c18bdbf350d16e3cc5..57ce0d2408758d413042df8fa9d19bef8a509156 100644
--- a/manifests/batches/goedel_workbook/000428.json
+++ b/manifests/batches/goedel_workbook/000428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000428",
   "batch_fingerprint": "8b93f965540e852867c157b64be50b29c9931852fa49786f73e4d3cb1b7fab6b",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000428-0000-aceff227c7bf1ded.parquet",
-      "sha256": "aceff227c7bf1dedc14c40fae3ac08ea106c6bb9c91a703d709eb28f0feded50",
-      "bytes": 114541,
-      "rows": 28,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000428-0000-bc6acd9649c190c5.parquet",
-      "sha256": "bc6acd9649c190c59864c3155b750e9ce6ad0a69e8ce1e1ecb848e44c2499208",
-      "bytes": 31353,
-      "rows": 1,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000428-0000-f1f4c225a9762b30.parquet",
-      "sha256": "f1f4c225a9762b308b7ab2d64ef51567d5b07fb92084a7be0aeba364278ff34f",
-      "bytes": 30065,
-      "rows": 2,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53898",
     "goedel_workbook:lean_workbook_53917",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010719.lean\",\"057f84780feb4dbbed4b53bd7638bc143d01e8dd5f0efd053d29d93d77cd1c53\",0,\"lean_workbook_53958\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010722.lean\",\"232378c5fec4caa3bcff2f9a3aed4bcb9a94406a10177ea8d6f42a3c60910bbf\",0,\"lean_workbook_53970\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010723.lean\",\"23a735b7aa6ceff952e172bc85495976157f8d2ac10096a1ced1c54e7f3858ee\",0,\"lean_workbook_53972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114541,
+      "path": "data/train/pf4/goedel_workbook-000428-0000-aceff227c7bf1ded.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "aceff227c7bf1dedc14c40fae3ac08ea106c6bb9c91a703d709eb28f0feded50"
+    },
+    {
+      "bytes": 31353,
+      "path": "data/dev/pf4/goedel_workbook-000428-0000-bc6acd9649c190c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bc6acd9649c190c59864c3155b750e9ce6ad0a69e8ce1e1ecb848e44c2499208"
+    },
+    {
+      "bytes": 30065,
+      "path": "data/internal_test/pf4/goedel_workbook-000428-0000-f1f4c225a9762b30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f1f4c225a9762b308b7ab2d64ef51567d5b07fb92084a7be0aeba364278ff34f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000429.json b/manifests/batches/goedel_workbook/000429.json
index 76af044ab6d0c5ba85ad689d02d1786bdbcc7be8..ba06efdf534afff04cbba68dc2835b0001b43f89 100644
--- a/manifests/batches/goedel_workbook/000429.json
+++ b/manifests/batches/goedel_workbook/000429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000429",
   "batch_fingerprint": "c4b07d00c0758a4fd210069bdc90f40b948f80e4bdb95f5dec4d905ee6fb64fd",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000429-0000-82c9ba31a8ef3fee.parquet",
-      "sha256": "82c9ba31a8ef3fee0b906d3a3d354b7ef29d61cadc1eefbdfeea02d40cbecac1",
-      "bytes": 94140,
-      "rows": 25,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000429-0000-2e2426bb0d2aa476.parquet",
-      "sha256": "2e2426bb0d2aa476a557bb34ad4e567e2cd3813e3ceafc809227a9be80aabebd",
-      "bytes": 33334,
-      "rows": 1,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000429-0000-9b52c6d645afa641.parquet",
-      "sha256": "9b52c6d645afa641ec5af04d05f95b536004f0dcba78d39c1708fe4241622be5",
-      "bytes": 55318,
-      "rows": 5,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_53977",
     "goedel_workbook:lean_workbook_5398",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010747.lean\",\"dc26fecd743afc822e512a126d9b592cce6c8fd65f952f3d90c3561b7256c797\",0,\"lean_workbook_54088\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010748.lean\",\"613d1a5b43962146cab1c8068149299168bd651a62b90b76c1ac2ad46675d5ad\",0,\"lean_workbook_54095\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010749.lean\",\"6468ef16a868daa751a5e71fe236ed63f15c3666e8855fca36b9ce7fc18b55ba\",0,\"lean_workbook_54096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94140,
+      "path": "data/train/pda/goedel_workbook-000429-0000-82c9ba31a8ef3fee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "82c9ba31a8ef3fee0b906d3a3d354b7ef29d61cadc1eefbdfeea02d40cbecac1"
+    },
+    {
+      "bytes": 33334,
+      "path": "data/dev/pda/goedel_workbook-000429-0000-2e2426bb0d2aa476.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2e2426bb0d2aa476a557bb34ad4e567e2cd3813e3ceafc809227a9be80aabebd"
+    },
+    {
+      "bytes": 55318,
+      "path": "data/internal_test/pda/goedel_workbook-000429-0000-9b52c6d645afa641.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9b52c6d645afa641ec5af04d05f95b536004f0dcba78d39c1708fe4241622be5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000430.json b/manifests/batches/goedel_workbook/000430.json
index e5451fc8ee65d2537129c84f77bd45cf2c31edf3..7c88ed60857fca26f0706f184d7381b735512006 100644
--- a/manifests/batches/goedel_workbook/000430.json
+++ b/manifests/batches/goedel_workbook/000430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000430",
   "batch_fingerprint": "874953b92e8a2632d3ad93f64a4ee3106fc5d2ddf21f11d76614ee3a3a3e137b",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000430-0000-6fddf27fa440d308.parquet",
-      "sha256": "6fddf27fa440d3084b2f9dce071d35871362b76ab7381ce4d1f136f3d81f901c",
-      "bytes": 254564,
-      "rows": 41,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000430-0000-ac2c05be7326cb00.parquet",
-      "sha256": "ac2c05be7326cb0048e10fcb80d1dc48b24e7e73fd8f33b5ce8d8d4f09e43c67",
-      "bytes": 45024,
-      "rows": 9,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5410",
     "goedel_workbook:lean_workbook_54115",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010772.lean\",\"a25d49a4a658819b663e29c923d8b8a03fb1f8e5bda0e396fbecaee79d1f7e32\",0,\"lean_workbook_54189\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010773.lean\",\"997104948d6c795e04a5d97540ae5ce8ca1cac7e4c08e0dea58fa3e4577136c4\",0,\"lean_workbook_54190\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010774.lean\",\"22ba91fbd563c58e888bc460e087cb6a035fcafde87e736304a9361cd856e4e8\",0,\"lean_workbook_54197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254564,
+      "path": "data/train/p82/goedel_workbook-000430-0000-6fddf27fa440d308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "6fddf27fa440d3084b2f9dce071d35871362b76ab7381ce4d1f136f3d81f901c"
+    },
+    {
+      "bytes": 45024,
+      "path": "data/internal_test/p82/goedel_workbook-000430-0000-ac2c05be7326cb00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ac2c05be7326cb0048e10fcb80d1dc48b24e7e73fd8f33b5ce8d8d4f09e43c67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000431.json b/manifests/batches/goedel_workbook/000431.json
index f051aed155fa4861e96dcf7ee2b3f52ab6417159..bf0918ac553f838a6934525b1c4911fe93380cf3 100644
--- a/manifests/batches/goedel_workbook/000431.json
+++ b/manifests/batches/goedel_workbook/000431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000431",
   "batch_fingerprint": "0d32ea00defe9513a9b8a2e90cee222846a676b59e7b5aa4bf6f65834d4bccb5",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000431-0000-9460fd384b948b55.parquet",
-      "sha256": "9460fd384b948b553c16399aae0cd3791c20bc3355afd2ac87b17c99e440f460",
-      "bytes": 201174,
-      "rows": 38,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000431-0000-3609891d8183451d.parquet",
-      "sha256": "3609891d8183451db76bf55d83350c34aa3fdd1d0e6244c2db0f32c744e273fc",
-      "bytes": 31069,
-      "rows": 1,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000431-0000-1843ac7fc6b47e8b.parquet",
-      "sha256": "1843ac7fc6b47e8b8dd99f79e2e2a7dc635b7dac71fdb6b23af2e5ae6da9977a",
-      "bytes": 39349,
-      "rows": 3,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54201",
     "goedel_workbook:lean_workbook_54215",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010793.lean\",\"2d598b33c56ed8d764fe924cea7ac99911f93a68218dd30da2725785c0245fbb\",0,\"lean_workbook_54253\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010794.lean\",\"4fdc45248fb0d8e8e6edf0b66f724f6be5e4284ef5bda8a74989c49afc363e10\",0,\"lean_workbook_54256\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010798.lean\",\"1e3cf4cbb375e8d9fba0870129fbb3fd479bc7047cdfc563d17851792fe041c0\",0,\"lean_workbook_54276\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201174,
+      "path": "data/train/p1a/goedel_workbook-000431-0000-9460fd384b948b55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9460fd384b948b553c16399aae0cd3791c20bc3355afd2ac87b17c99e440f460"
+    },
+    {
+      "bytes": 31069,
+      "path": "data/dev/p1a/goedel_workbook-000431-0000-3609891d8183451d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3609891d8183451db76bf55d83350c34aa3fdd1d0e6244c2db0f32c744e273fc"
+    },
+    {
+      "bytes": 39349,
+      "path": "data/internal_test/p1a/goedel_workbook-000431-0000-1843ac7fc6b47e8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1843ac7fc6b47e8b8dd99f79e2e2a7dc635b7dac71fdb6b23af2e5ae6da9977a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000432.json b/manifests/batches/goedel_workbook/000432.json
index b182e9edca7ca31d9cbfa7dae1d7e6e0602381eb..5e4257654817508178ead4bab3644574acf146b8 100644
--- a/manifests/batches/goedel_workbook/000432.json
+++ b/manifests/batches/goedel_workbook/000432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000432",
   "batch_fingerprint": "f3db144ee41ddbc8a211f8b99722319ef335d7429661c8673e82affd2ed1a7b0",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000432-0000-77ce6737a57f58fa.parquet",
-      "sha256": "77ce6737a57f58faca91fb72859bed3ca2cefa106005957e67848c22f9075053",
-      "bytes": 151040,
-      "rows": 41,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54291",
     "goedel_workbook:lean_workbook_54299",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010818.lean\",\"1327e192edb4cef71788dcc427b86a24353f16f077af0254072dca8391602193\",0,\"lean_workbook_54352\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010821.lean\",\"d5a27c666bd9f8a2af8911a335f328f552a84f9edad0f9a98749ae6083612ca4\",0,\"lean_workbook_54367\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010822.lean\",\"69ee2c4461c92230fe9c23a25cd3a3d4daa5c6f6baa4f9da75fb924c9af84cce\",0,\"lean_workbook_54371\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151040,
+      "path": "data/train/pe8/goedel_workbook-000432-0000-77ce6737a57f58fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "77ce6737a57f58faca91fb72859bed3ca2cefa106005957e67848c22f9075053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000433.json b/manifests/batches/goedel_workbook/000433.json
index f7f833c9e6dc5abfc5605985027685a8d45847a7..adfce73e53ed0676641d93129d14e24883716a28 100644
--- a/manifests/batches/goedel_workbook/000433.json
+++ b/manifests/batches/goedel_workbook/000433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000433",
   "batch_fingerprint": "32a5b94cacbe2a8762360de907c38d3cba893dc72d3492ad190f5fdc1c848cb1",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000433-0000-7eadd36f5a3ae9ea.parquet",
-      "sha256": "7eadd36f5a3ae9eaf87bac87c54183d190544b6ae7b9522238549acd67ae1927",
-      "bytes": 216692,
-      "rows": 43,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000433-0000-0a03f46f18d71f7e.parquet",
-      "sha256": "0a03f46f18d71f7ee61d3bce702b25670b093c7840166e364f78beb945e531f9",
-      "bytes": 47728,
-      "rows": 4,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000433-0000-b9d126e9c1d6385f.parquet",
-      "sha256": "b9d126e9c1d6385f934a8f9b0bdadecebfba3a26b68e2cfb400baf982e3beed2",
-      "bytes": 44884,
-      "rows": 9,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54406",
     "goedel_workbook:lean_workbook_54409",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010845.lean\",\"162de601aef292ceba45d9254ee6479d0ca39507f90daef62769293152848e49\",0,\"lean_workbook_5449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010846.lean\",\"b20dc318b7b5fa0694d8627494bdc72f1db7dda7d57bfdf8501af326d0c6fc07\",0,\"lean_workbook_54491\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010847.lean\",\"9f0c12e6eb09d6271e01f4e6dd1596adaea5257217b0f802f0c5b8f28f1e45d7\",0,\"lean_workbook_54493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216692,
+      "path": "data/train/pa4/goedel_workbook-000433-0000-7eadd36f5a3ae9ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7eadd36f5a3ae9eaf87bac87c54183d190544b6ae7b9522238549acd67ae1927"
+    },
+    {
+      "bytes": 47728,
+      "path": "data/dev/pa4/goedel_workbook-000433-0000-0a03f46f18d71f7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0a03f46f18d71f7ee61d3bce702b25670b093c7840166e364f78beb945e531f9"
+    },
+    {
+      "bytes": 44884,
+      "path": "data/internal_test/pa4/goedel_workbook-000433-0000-b9d126e9c1d6385f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b9d126e9c1d6385f934a8f9b0bdadecebfba3a26b68e2cfb400baf982e3beed2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000434.json b/manifests/batches/goedel_workbook/000434.json
index c43a1065a2dc7db5f2eb9c4f8fd84e24d86427cf..93dcd9a860061a132434990722e48b6d2cebd272 100644
--- a/manifests/batches/goedel_workbook/000434.json
+++ b/manifests/batches/goedel_workbook/000434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000434",
   "batch_fingerprint": "0cf22cfbeb53788457c575353be39fc9f337ffac7443186cc9ad585fca79a2a5",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000434-0000-2f1e0eb550f075da.parquet",
-      "sha256": "2f1e0eb550f075da71ccf8e645c9ec038ce0035ece5c1d2294168dbe2eff6c8c",
-      "bytes": 183542,
-      "rows": 39,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000434-0000-b8e4d8733b489a00.parquet",
-      "sha256": "b8e4d8733b489a00bda055e59e20eb41fb2cd3a4fc03836a862c8b4b5afdc6d1",
-      "bytes": 47580,
-      "rows": 5,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000434-0000-ef92a625ae53f5e2.parquet",
-      "sha256": "ef92a625ae53f5e27e5cb25ba9fcd5f3344f321604de3426f289bd425b6003e5",
-      "bytes": 48492,
-      "rows": 6,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54513",
     "goedel_workbook:lean_workbook_54519",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010871.lean\",\"daa22f30073e3b42b1eeb12b37921752c7c13d49e3e986c1def3c2066ceb247c\",0,\"lean_workbook_54587\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010873.lean\",\"93eeb5586261e8ea327e54621330cb5a96e56c37ea8e73cb17abe8663a8acda9\",0,\"lean_workbook_54595\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010874.lean\",\"07605f86b0cf2c539ff912cf22cbe3d3921b64c074772a33912a89774c179531\",0,\"lean_workbook_54598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183542,
+      "path": "data/train/pf8/goedel_workbook-000434-0000-2f1e0eb550f075da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "2f1e0eb550f075da71ccf8e645c9ec038ce0035ece5c1d2294168dbe2eff6c8c"
+    },
+    {
+      "bytes": 47580,
+      "path": "data/dev/pf8/goedel_workbook-000434-0000-b8e4d8733b489a00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b8e4d8733b489a00bda055e59e20eb41fb2cd3a4fc03836a862c8b4b5afdc6d1"
+    },
+    {
+      "bytes": 48492,
+      "path": "data/internal_test/pf8/goedel_workbook-000434-0000-ef92a625ae53f5e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ef92a625ae53f5e27e5cb25ba9fcd5f3344f321604de3426f289bd425b6003e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000435.json b/manifests/batches/goedel_workbook/000435.json
index 32fa8622356cd062a13878cf275ce75d2b7f1c45..abbf9d68cb4ecc54013fcd445c65af087a8b94d3 100644
--- a/manifests/batches/goedel_workbook/000435.json
+++ b/manifests/batches/goedel_workbook/000435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000435",
   "batch_fingerprint": "0754a8ce9ea9da39d482b0856033be89f90906db4405f347bc7b315aa72cb284",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000435-0000-211fe1c84ab45e81.parquet",
-      "sha256": "211fe1c84ab45e8192c5feabfdad25a8358494ba7b555315c37b260896f25726",
-      "bytes": 91493,
-      "rows": 23,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000435-0000-516045da00b88249.parquet",
-      "sha256": "516045da00b882494b17a2b9529a98334d3bd80b7c98ee97a51c3e6f7e5eaa40",
-      "bytes": 70649,
-      "rows": 9,
-      "revision": "386a28ed425e9ab3e3a4d0c9dae7956c55102ec3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54614",
     "goedel_workbook:lean_workbook_54647",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010896.lean\",\"23164722a97404b7afc27cebfe90790e86931624b2da7c18d4c5feffc08b0f69\",0,\"lean_workbook_54693\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010898.lean\",\"ab4bc28d8fd6c9b8d264f1d20c13af8df7440bb76973e9d047ca05295284ab77\",0,\"lean_workbook_54697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91493,
+      "path": "data/train/p22/goedel_workbook-000435-0000-211fe1c84ab45e81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "211fe1c84ab45e8192c5feabfdad25a8358494ba7b555315c37b260896f25726"
+    },
+    {
+      "bytes": 70649,
+      "path": "data/internal_test/p22/goedel_workbook-000435-0000-516045da00b88249.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "516045da00b882494b17a2b9529a98334d3bd80b7c98ee97a51c3e6f7e5eaa40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000436.json b/manifests/batches/goedel_workbook/000436.json
index 6c45468e5b4be10d76e4b815735c46efe31a780f..19bc56a8accb23871d9caaf9322d3ffc415379ad 100644
--- a/manifests/batches/goedel_workbook/000436.json
+++ b/manifests/batches/goedel_workbook/000436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000436",
   "batch_fingerprint": "b7b4d0b6ec1a39a62dc3f7001257a69be2f661bf66bb7aca9a996a3a96d686d5",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000436-0000-d5877fbe5310dba3.parquet",
-      "sha256": "d5877fbe5310dba3ae19117ec10d6d515cfbf851e99e97482d04ed8354b17eee",
-      "bytes": 207390,
-      "rows": 55,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000436-0000-b8277722af52446b.parquet",
-      "sha256": "b8277722af52446bcdd2951876f7ab90c49edddeadd3e89e53eabbd16c3d9901",
-      "bytes": 40758,
-      "rows": 3,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54713",
     "goedel_workbook:lean_workbook_54715",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010920.lean\",\"0eb5586108accd9349c2968207350c713bfc51f6ecf3e907413270626984a053\",0,\"lean_workbook_54788\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010921.lean\",\"5ad0e42ad184bc496af26ed27a47433793bca46abe4e64be930f6b79915476bb\",0,\"lean_workbook_54789\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010924.lean\",\"153ad48af9f971464990847c8f2fe8165cd62cc9d477255e524a29ad3efe4f51\",0,\"lean_workbook_54807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207390,
+      "path": "data/train/p9a/goedel_workbook-000436-0000-d5877fbe5310dba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "d5877fbe5310dba3ae19117ec10d6d515cfbf851e99e97482d04ed8354b17eee"
+    },
+    {
+      "bytes": 40758,
+      "path": "data/dev/p9a/goedel_workbook-000436-0000-b8277722af52446b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b8277722af52446bcdd2951876f7ab90c49edddeadd3e89e53eabbd16c3d9901"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000437.json b/manifests/batches/goedel_workbook/000437.json
index 4a0381d0d82e186ee21cb488e5a76ebfa5c0c3db..12d5754571983b990228e734d101d821d441645e 100644
--- a/manifests/batches/goedel_workbook/000437.json
+++ b/manifests/batches/goedel_workbook/000437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000437",
   "batch_fingerprint": "16f2df89a30ca317c5924e3cceba41f99467d1389155b9c67e19762ee385a6e2",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000437-0000-2bc2deca91c2d078.parquet",
-      "sha256": "2bc2deca91c2d0783c0282569fa352275930ecac199c3600a9fe9489970b9097",
-      "bytes": 153324,
-      "rows": 46,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000437-0000-2a34882033050329.parquet",
-      "sha256": "2a34882033050329aec45d586c8df4db202a7eeb78a607c3aae4912e8d8a2ea5",
-      "bytes": 41267,
-      "rows": 1,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5481",
     "goedel_workbook:lean_workbook_54820",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010947.lean\",\"954e58612b0ca608bb03287721062e7d426b12f93568b9620f70d7c1b5fed666\",0,\"lean_workbook_54897\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010948.lean\",\"1dc65d6245db6faf5330418a5f12a341bc3984c56b2b735a6c4e9735ee16879a\",0,\"lean_workbook_54898\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010949.lean\",\"bed9ed2d295925966545fda4e3f8052d1f0a8f787dfe222fd2c90363151ee503\",0,\"lean_workbook_549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153324,
+      "path": "data/train/p48/goedel_workbook-000437-0000-2bc2deca91c2d078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "2bc2deca91c2d0783c0282569fa352275930ecac199c3600a9fe9489970b9097"
+    },
+    {
+      "bytes": 41267,
+      "path": "data/dev/p48/goedel_workbook-000437-0000-2a34882033050329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2a34882033050329aec45d586c8df4db202a7eeb78a607c3aae4912e8d8a2ea5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000438.json b/manifests/batches/goedel_workbook/000438.json
index 5a1cc9a57cda9dde650ac8dc51eb9dabb2104a81..aed6cb3eac7cdc78cc82354a5616134337e18b95 100644
--- a/manifests/batches/goedel_workbook/000438.json
+++ b/manifests/batches/goedel_workbook/000438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000438",
   "batch_fingerprint": "5cefec8509d6f8a2aaa6c421476d014dc4f456edf97fcd4a6c67bd642932de7c",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000438-0000-921ecaba45bea989.parquet",
-      "sha256": "921ecaba45bea98925aaf9f86e63e8b45f572e4a2c02ae0e7b5483d0173121ae",
-      "bytes": 156037,
-      "rows": 38,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000438-0000-11b5bb73a0d5f8a2.parquet",
-      "sha256": "11b5bb73a0d5f8a24a45f7633d619a58d93804c486d0f680f58b8af914aa6c23",
-      "bytes": 35575,
-      "rows": 2,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000438-0000-c80a789ad5a8ffb6.parquet",
-      "sha256": "c80a789ad5a8ffb6d2047754949aa7017866a7d989e69648489416dfc64543aa",
-      "bytes": 40666,
-      "rows": 6,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_54900",
     "goedel_workbook:lean_workbook_54903",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010972.lean\",\"91ea056667b8e518721efd58dc621b7f6a1e782a15a72e6b6c7c586a7478f02b\",0,\"lean_workbook_55002\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010973.lean\",\"713f7606be9067f1a5c1a518946586a5b43935349d431699bf75e92ed622b47c\",0,\"lean_workbook_55003\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010974.lean\",\"39b229a442d375aae0dd50bc9e816d3379dfa80a1e920517bd2f703345baee3e\",0,\"lean_workbook_55007\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156037,
+      "path": "data/train/p4d/goedel_workbook-000438-0000-921ecaba45bea989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "921ecaba45bea98925aaf9f86e63e8b45f572e4a2c02ae0e7b5483d0173121ae"
+    },
+    {
+      "bytes": 35575,
+      "path": "data/dev/p4d/goedel_workbook-000438-0000-11b5bb73a0d5f8a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "11b5bb73a0d5f8a24a45f7633d619a58d93804c486d0f680f58b8af914aa6c23"
+    },
+    {
+      "bytes": 40666,
+      "path": "data/internal_test/p4d/goedel_workbook-000438-0000-c80a789ad5a8ffb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c80a789ad5a8ffb6d2047754949aa7017866a7d989e69648489416dfc64543aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000439.json b/manifests/batches/goedel_workbook/000439.json
index cb473ee6c5773cf6cf68cf5d700a73fb6de0baec..8c2158adb29b21cde167578e0fb4b202a528c1fe 100644
--- a/manifests/batches/goedel_workbook/000439.json
+++ b/manifests/batches/goedel_workbook/000439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000439",
   "batch_fingerprint": "eff584902558a5a003852dfb7f0d2d2e22b305ce0a67456ca322489303de79f9",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000439-0000-5ff0face379e585e.parquet",
-      "sha256": "5ff0face379e585e7a9d893eea091ac6ce91f33723d6fffb99ce2210593a8299",
-      "bytes": 99274,
-      "rows": 26,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000439-0000-012f5486bab22399.parquet",
-      "sha256": "012f5486bab2239919a41ad0901a2408ebe12a19d7df0cc41542499dea594a8d",
-      "bytes": 40674,
-      "rows": 3,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000439-0000-91f8184938229569.parquet",
-      "sha256": "91f818493822956933a0233b4ed2e8a0c1da6e7ce74fcabfa52d92e541531f80",
-      "bytes": 32897,
-      "rows": 3,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55010",
     "goedel_workbook:lean_workbook_55012",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010996.lean\",\"85d507176852431f3602b9eef4fe8e97ec57e4aca90dd1d673df0c712198aff2\",0,\"lean_workbook_55092\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010998.lean\",\"bc6aed6e86b8e2ab02c421ac7ccadca8e47b53e6d876b905af7209eb96e13005\",0,\"lean_workbook_55102\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_010999.lean\",\"96ad8ca010d572805ecd2d92cf0a88e72a8ae30f36f00213b9957d201f5523c9\",0,\"lean_workbook_55103\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99274,
+      "path": "data/train/p44/goedel_workbook-000439-0000-5ff0face379e585e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5ff0face379e585e7a9d893eea091ac6ce91f33723d6fffb99ce2210593a8299"
+    },
+    {
+      "bytes": 40674,
+      "path": "data/dev/p44/goedel_workbook-000439-0000-012f5486bab22399.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "012f5486bab2239919a41ad0901a2408ebe12a19d7df0cc41542499dea594a8d"
+    },
+    {
+      "bytes": 32897,
+      "path": "data/internal_test/p44/goedel_workbook-000439-0000-91f8184938229569.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "91f818493822956933a0233b4ed2e8a0c1da6e7ce74fcabfa52d92e541531f80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000440.json b/manifests/batches/goedel_workbook/000440.json
index 02f9a3b99e1a9cb07bb0cec0991f96f6da0c3210..05ccb22b983839d2e1f1173ba3c12315bfc33638 100644
--- a/manifests/batches/goedel_workbook/000440.json
+++ b/manifests/batches/goedel_workbook/000440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000440",
   "batch_fingerprint": "5cc0d10c280853162cbc55365ac2586aedb78bd0d7e003bb6aab1c4d7aef444f",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000440-0000-068d583f96b4d118.parquet",
-      "sha256": "068d583f96b4d1184739e64f7ae7ec95255ebc75921cb5d28486f42ae6a430d0",
-      "bytes": 84654,
-      "rows": 18,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000440-0000-1176d480cfff8d47.parquet",
-      "sha256": "1176d480cfff8d47c3f9e2f3f42a84eca343362c6e78be102fbae5c183671269",
-      "bytes": 118768,
-      "rows": 27,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000440-0000-72092c37570e7fe2.parquet",
-      "sha256": "72092c37570e7fe29cd88c010a9c84ca108daaf37a0dc599d6f8d6fef90a44de",
-      "bytes": 33027,
-      "rows": 2,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55105",
     "goedel_workbook:lean_workbook_55110",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011021.lean\",\"33394771caff2284efe53c561cd7970b410a21f682e56063e79edec33ea8563c\",0,\"lean_workbook_55163\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011023.lean\",\"4bf613c73b24c261c6ba437a24bb1796a04190a10aba8d08f632160f808d9a62\",0,\"lean_workbook_55167\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011024.lean\",\"a5f25c0af7861963c87132cf9e5cc978c38ce32d7beca06b9a026ee992c7da20\",0,\"lean_workbook_5517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84654,
+      "path": "data/train/pd5/goedel_workbook-000440-0000-068d583f96b4d118.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "068d583f96b4d1184739e64f7ae7ec95255ebc75921cb5d28486f42ae6a430d0"
+    },
+    {
+      "bytes": 118768,
+      "path": "data/dev/pd5/goedel_workbook-000440-0000-1176d480cfff8d47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "1176d480cfff8d47c3f9e2f3f42a84eca343362c6e78be102fbae5c183671269"
+    },
+    {
+      "bytes": 33027,
+      "path": "data/internal_test/pd5/goedel_workbook-000440-0000-72092c37570e7fe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "72092c37570e7fe29cd88c010a9c84ca108daaf37a0dc599d6f8d6fef90a44de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000441.json b/manifests/batches/goedel_workbook/000441.json
index 52dd046decb20cb5c6359f3123b2a70c3283a11f..506e1a662835fdce34bf47c44af27f01017c658a 100644
--- a/manifests/batches/goedel_workbook/000441.json
+++ b/manifests/batches/goedel_workbook/000441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000441",
   "batch_fingerprint": "4a6683da9fff6997cac6c33f61578e961e4e85661b99e2e5e4443b7aaf5c1871",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000441-0000-ec50b227e05546f1.parquet",
-      "sha256": "ec50b227e05546f117aa9893480c688d50289669754d0f8e8324f4d8587d50e9",
-      "bytes": 202036,
-      "rows": 47,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55182",
     "goedel_workbook:lean_workbook_55193",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011043.lean\",\"7ce3691934a45d3d355ac7b62f8cec964b7379288fb0f6e9573ff4fd6f612db3\",0,\"lean_workbook_55282\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011045.lean\",\"62e92e1abfb41f201128da7c11eea6ca7f802727d00af580b00224aaaedb126d\",0,\"lean_workbook_55293\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011046.lean\",\"94e9869df788275e93b5bb03592cada99afa3d7419a08bfe7d19d27059f12201\",0,\"lean_workbook_55297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202036,
+      "path": "data/train/p12/goedel_workbook-000441-0000-ec50b227e05546f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "ec50b227e05546f117aa9893480c688d50289669754d0f8e8324f4d8587d50e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000442.json b/manifests/batches/goedel_workbook/000442.json
index cb04670aaf2e2414931876cdda8767111e73c039..eb8db2573946a32963a78cc9088c3bfb49f69ffd 100644
--- a/manifests/batches/goedel_workbook/000442.json
+++ b/manifests/batches/goedel_workbook/000442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000442",
   "batch_fingerprint": "76ea6a1fdfdef8621435426eab60654bbc9a3d3e1603a1b6c93a447feecdf3c4",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000442-0000-b3b1b3ee64f58eb0.parquet",
-      "sha256": "b3b1b3ee64f58eb0c43a858bbd8f925dfe5721aa72be10ef61f4d8f1a6899034",
-      "bytes": 92775,
-      "rows": 23,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000442-0000-f402bb242af79720.parquet",
-      "sha256": "f402bb242af79720f3579eefd9063279bdf16eb07658f1e938f8c90bf7ad8cea",
-      "bytes": 38905,
-      "rows": 4,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55309",
     "goedel_workbook:lean_workbook_55311",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011067.lean\",\"5c2e49336098669d5cc5cdd1f3f356abeb2ad3020f8e34a8967cbd3d86fb7f96\",0,\"lean_workbook_55377\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011068.lean\",\"4df2a1c60825dc7e47af7fc72a41e84ed12ba1e13c4c4d06a5527f196bdf6be7\",0,\"lean_workbook_55378\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011069.lean\",\"a98c10a9540a0a0b46b16ce807340286736a3b58211c2b0e6e240164132aa15e\",0,\"lean_workbook_55379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92775,
+      "path": "data/train/p97/goedel_workbook-000442-0000-b3b1b3ee64f58eb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b3b1b3ee64f58eb0c43a858bbd8f925dfe5721aa72be10ef61f4d8f1a6899034"
+    },
+    {
+      "bytes": 38905,
+      "path": "data/internal_test/p97/goedel_workbook-000442-0000-f402bb242af79720.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f402bb242af79720f3579eefd9063279bdf16eb07658f1e938f8c90bf7ad8cea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000443.json b/manifests/batches/goedel_workbook/000443.json
index ab7326dc7f83d39d89aeee004c82122df0b340a0..3567569a6860d276a43fabdb03895e84913b49d8 100644
--- a/manifests/batches/goedel_workbook/000443.json
+++ b/manifests/batches/goedel_workbook/000443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000443",
   "batch_fingerprint": "7a959f3b411275aac6c02db957a20e6abdf08f6cb6b1400fee3102ec3d2d35b8",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000443-0000-ef15b1d0cc8ad086.parquet",
-      "sha256": "ef15b1d0cc8ad086da737545e7d6508e854bf3c0b0601faa097e6815375e1ec1",
-      "bytes": 89712,
-      "rows": 26,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000443-0000-9bdf1155b7c5b5ba.parquet",
-      "sha256": "9bdf1155b7c5b5ba416fe86f5aa00aebed2f0a9d918a471d1c80fd11c11be044",
-      "bytes": 28961,
-      "rows": 1,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000443-0000-b49be26f318b05b2.parquet",
-      "sha256": "b49be26f318b05b266dc753393334783faf3dc043ce24fddfedcb620212b3221",
-      "bytes": 81404,
-      "rows": 6,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55413",
     "goedel_workbook:lean_workbook_55415",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011092.lean\",\"92a2c29b1aa6d1fe1f68610c8d278b9f241c52f2c8255d97e288dfc78c1b6713\",0,\"lean_workbook_55482\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011093.lean\",\"c5536196d18b2b6beaf400e7a8e096fa0d3e33625df93630a0f9721cbba99fcc\",0,\"lean_workbook_55483\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011094.lean\",\"6cf2918807339f55259bab8fdb0e88274f33e01d3773c42d4a59a69251a629d0\",0,\"lean_workbook_55488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89712,
+      "path": "data/train/p87/goedel_workbook-000443-0000-ef15b1d0cc8ad086.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ef15b1d0cc8ad086da737545e7d6508e854bf3c0b0601faa097e6815375e1ec1"
+    },
+    {
+      "bytes": 28961,
+      "path": "data/dev/p87/goedel_workbook-000443-0000-9bdf1155b7c5b5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9bdf1155b7c5b5ba416fe86f5aa00aebed2f0a9d918a471d1c80fd11c11be044"
+    },
+    {
+      "bytes": 81404,
+      "path": "data/internal_test/p87/goedel_workbook-000443-0000-b49be26f318b05b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b49be26f318b05b266dc753393334783faf3dc043ce24fddfedcb620212b3221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000444.json b/manifests/batches/goedel_workbook/000444.json
index 2d41c9db5fc48808491048ed09ed91d648f556c7..32eba27524678d81de6a082ae743f7e1ca399d45 100644
--- a/manifests/batches/goedel_workbook/000444.json
+++ b/manifests/batches/goedel_workbook/000444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000444",
   "batch_fingerprint": "ac2a846fe8ed978ce2d9f2f9b6d68533c23c2f448aceb42c7a36d3bc64ce0eb4",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000444-0000-6f04886a05e983d1.parquet",
-      "sha256": "6f04886a05e983d1231851752a8dbc893e66d8f90c541805c432bbb0d7faadee",
-      "bytes": 130402,
-      "rows": 33,
-      "revision": "f4ebd59fe3969ffd45c2d9cc296e9d4731a82633"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55511",
     "goedel_workbook:lean_workbook_55516",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011121.lean\",\"a21fccdd7b12f469c1d91f547b55d32ccc9395c18bc74a34867223e41262bc49\",0,\"lean_workbook_55573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011122.lean\",\"321ffcb43ef6a6e4de4c6870a4a02702831834804221ac2faaede10da152f8cf\",0,\"lean_workbook_55574\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011123.lean\",\"2a6ca2ce4c1b99a67bbe6b4b76a7ff57162240531f84068bfa0199c4bf5e611d\",0,\"lean_workbook_55578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130402,
+      "path": "data/train/pcf/goedel_workbook-000444-0000-6f04886a05e983d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "6f04886a05e983d1231851752a8dbc893e66d8f90c541805c432bbb0d7faadee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000445.json b/manifests/batches/goedel_workbook/000445.json
index f6d5e65f9a980071fc61d669592da37cbaca9b96..1398477c31b17bb78336eece655a4bea8e6b4c4e 100644
--- a/manifests/batches/goedel_workbook/000445.json
+++ b/manifests/batches/goedel_workbook/000445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000445",
   "batch_fingerprint": "64c063d170c8be1eac72a343368ed7caf6dcde3a1e0d0931617e93fb31dfe951",
   "evidence": {
@@ -263,22 +262,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000445-0000-1d6e1d94c654a69a.parquet",
-      "sha256": "1d6e1d94c654a69ac6f2b1d6e0c261c4cbbe84fc9fec7d8148f60bb7fa7848b1",
-      "bytes": 114435,
-      "rows": 32,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000445-0000-3c859715c667571f.parquet",
-      "sha256": "3c859715c667571ffb753288a262483ad80089fd4d9881704daaa12729c83d1a",
-      "bytes": 58926,
-      "rows": 5,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55589",
     "goedel_workbook:lean_workbook_55606",
@@ -306,5 +290,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011142.lean\",\"e184a493169a287f0b08a57f649959f53bc90728886307b235fd8bd82d52cbdf\",0,\"lean_workbook_55670\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011145.lean\",\"41a9097c8a54fdf215fa5eab9ff5e00c36f5a75674fd0fffdd533eba41cd10cd\",0,\"lean_workbook_55680\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011146.lean\",\"912559bba11b6f5dcb8cb54e8d2861898c765458fcccb8c394026d4ab85a37ee\",0,\"lean_workbook_55700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114435,
+      "path": "data/train/p0f/goedel_workbook-000445-0000-1d6e1d94c654a69a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "1d6e1d94c654a69ac6f2b1d6e0c261c4cbbe84fc9fec7d8148f60bb7fa7848b1"
+    },
+    {
+      "bytes": 58926,
+      "path": "data/internal_test/p0f/goedel_workbook-000445-0000-3c859715c667571f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3c859715c667571ffb753288a262483ad80089fd4d9881704daaa12729c83d1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000446.json b/manifests/batches/goedel_workbook/000446.json
index 0c774b7c4f620be2f523e60979274eb77c944ce7..4b6dd78396ff684bcaadfc0b1905a9c17e19889f 100644
--- a/manifests/batches/goedel_workbook/000446.json
+++ b/manifests/batches/goedel_workbook/000446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000446",
   "batch_fingerprint": "d558ef9e995114dfcb5f5ab3066df518f45cc499f0086251613205d5ad835baa",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000446-0000-32c54efa3f630ad2.parquet",
-      "sha256": "32c54efa3f630ad20a0f58f2b4b03796ae60afc8c275e338f9f7b6ace58dc159",
-      "bytes": 107396,
-      "rows": 24,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000446-0000-3553a6cf79d68e71.parquet",
-      "sha256": "3553a6cf79d68e71133ee8eb7436e6fccb7c66ddef65d6644b73a9949b1386e9",
-      "bytes": 29426,
-      "rows": 1,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55721",
     "goedel_workbook:lean_workbook_55727",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011162.lean\",\"fc7cfd9b2ebdaf271b5d1c501d57deb2a8904a0f99157a227c1ed6906614f141\",0,\"lean_workbook_55785\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011167.lean\",\"4ce62e06fc47664346716b87771ee09e8ed1744811bbc5b88bf2b66d20248536\",0,\"lean_workbook_55806\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011174.lean\",\"950eeb88d9518c5be75bc6bbf8bc8d7d21f6d3e4e0792d6d39559b3277b85f64\",0,\"lean_workbook_55843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107396,
+      "path": "data/train/p21/goedel_workbook-000446-0000-32c54efa3f630ad2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "32c54efa3f630ad20a0f58f2b4b03796ae60afc8c275e338f9f7b6ace58dc159"
+    },
+    {
+      "bytes": 29426,
+      "path": "data/internal_test/p21/goedel_workbook-000446-0000-3553a6cf79d68e71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3553a6cf79d68e71133ee8eb7436e6fccb7c66ddef65d6644b73a9949b1386e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000447.json b/manifests/batches/goedel_workbook/000447.json
index c547461b92051840a970707bb7a11072bd63305e..84019a563d9ecf9cc2d2d76f77b4cf3787d0aedf 100644
--- a/manifests/batches/goedel_workbook/000447.json
+++ b/manifests/batches/goedel_workbook/000447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000447",
   "batch_fingerprint": "31eeef8e885a7cf351ab838d05496f32470439655a1afdb08a42f5e3af088062",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000447-0000-f40249aa9744b4cf.parquet",
-      "sha256": "f40249aa9744b4cfb6d1859d43000bd20c22f37bc1a3f961d892c736dbc67809",
-      "bytes": 117063,
-      "rows": 29,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000447-0000-406b36490b9f7b9b.parquet",
-      "sha256": "406b36490b9f7b9bf95db3960b92e3e78878f102e7dc81bb3568548cd2d947bf",
-      "bytes": 29959,
-      "rows": 1,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000447-0000-15a4784275b2f994.parquet",
-      "sha256": "15a4784275b2f994547dffa4dfff7a5291e1a164686f898447fa963a8d8877c2",
-      "bytes": 28493,
-      "rows": 2,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55853",
     "goedel_workbook:lean_workbook_55858",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011197.lean\",\"fdb3c7b6f4c61a514a91565cfe98b069b9693777558f7c85190a561bb8292faa\",0,\"lean_workbook_55933\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011198.lean\",\"85fe71cf1cb33de12cbcf2091c6f1cdfaa407ddc86fe92f69b3c4f3d35a23727\",0,\"lean_workbook_55939\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011199.lean\",\"8a63f1afe18df586d5319a023f0506b0a6af228f0a0fbbfa31d2cf3aa9574843\",0,\"lean_workbook_55941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117063,
+      "path": "data/train/p35/goedel_workbook-000447-0000-f40249aa9744b4cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f40249aa9744b4cfb6d1859d43000bd20c22f37bc1a3f961d892c736dbc67809"
+    },
+    {
+      "bytes": 29959,
+      "path": "data/dev/p35/goedel_workbook-000447-0000-406b36490b9f7b9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "406b36490b9f7b9bf95db3960b92e3e78878f102e7dc81bb3568548cd2d947bf"
+    },
+    {
+      "bytes": 28493,
+      "path": "data/internal_test/p35/goedel_workbook-000447-0000-15a4784275b2f994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "15a4784275b2f994547dffa4dfff7a5291e1a164686f898447fa963a8d8877c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000448.json b/manifests/batches/goedel_workbook/000448.json
index c5d7abd78948a7f9263584e62b4f6c04a103c733..d475f28d5abab03d9fdf8fb1384168ddf5a39b84 100644
--- a/manifests/batches/goedel_workbook/000448.json
+++ b/manifests/batches/goedel_workbook/000448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000448",
   "batch_fingerprint": "6d61a260b2bf8c303d189435380384ec7ac17e2c4c95c3bc0200f053479b0462",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000448-0000-8027a2c72897f3e4.parquet",
-      "sha256": "8027a2c72897f3e46f1d2d4399b7c7888c7afb7a205c33b4ae79ccd764e2c999",
-      "bytes": 195179,
-      "rows": 42,
-      "revision": "dd3078864150c8bd2ee986057ebbde57c6f87a6e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000448-0000-3379b94d82caa25c.parquet",
-      "sha256": "3379b94d82caa25cbde75a67951e500b4db5c711093245075fb9579b91c7eea8",
-      "bytes": 31715,
-      "rows": 1,
-      "revision": "dd3078864150c8bd2ee986057ebbde57c6f87a6e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_55945",
     "goedel_workbook:lean_workbook_55948",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011221.lean\",\"2944db33006183312b5e2d0aec371788e35b53831ef57591be3615b1ae68f209\",0,\"lean_workbook_5601\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011222.lean\",\"7d6ad7b26a7c96fadec5eadd3cbc69d3bea0db57b8c704ce3d5d6476c0dab4cc\",0,\"lean_workbook_56017\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011224.lean\",\"9da0784a1179957ad3221487a2d95b05da9da9d6730f20910e1de2826d12b082\",0,\"lean_workbook_56028\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195179,
+      "path": "data/train/p11/goedel_workbook-000448-0000-8027a2c72897f3e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "8027a2c72897f3e46f1d2d4399b7c7888c7afb7a205c33b4ae79ccd764e2c999"
+    },
+    {
+      "bytes": 31715,
+      "path": "data/internal_test/p11/goedel_workbook-000448-0000-3379b94d82caa25c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3379b94d82caa25cbde75a67951e500b4db5c711093245075fb9579b91c7eea8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000449.json b/manifests/batches/goedel_workbook/000449.json
index 006d4385a914ab8d77aaa2438f03659c8aa7309e..de3beb38a27f0347d23420f2e01ddc2401e1f39a 100644
--- a/manifests/batches/goedel_workbook/000449.json
+++ b/manifests/batches/goedel_workbook/000449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000449",
   "batch_fingerprint": "1e48fcf6f59d31ffde6c9f9c3ec9851f70a75bff30a622b0560afd245b40c982",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000449-0000-191030d4b203df98.parquet",
-      "sha256": "191030d4b203df98f405e180cbb522cd68ede88cd4565cf33977869b175a7659",
-      "bytes": 325326,
-      "rows": 73,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000449-0000-2fd91e5cdb755fa1.parquet",
-      "sha256": "2fd91e5cdb755fa18400e1fb361d37948ece1d01317f654baf448c315c662902",
-      "bytes": 40457,
-      "rows": 2,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56029",
     "goedel_workbook:lean_workbook_56035",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011247.lean\",\"7608463ab6b117b28f8013821358c1dd3a56253f9934dc4fe04b7a0f38ebe55e\",0,\"lean_workbook_56148\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011248.lean\",\"a4d86e7a11e3d9f4013f0878211fba749611a7b4a4ca5084fb7d1b9ce403ab8e\",0,\"lean_workbook_56152\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011249.lean\",\"0e46e9aad88e38dd10d42dfd8fee826bbb515492715cf8c4cfb874f20d149b1d\",0,\"lean_workbook_56153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325326,
+      "path": "data/train/pc6/goedel_workbook-000449-0000-191030d4b203df98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "191030d4b203df98f405e180cbb522cd68ede88cd4565cf33977869b175a7659"
+    },
+    {
+      "bytes": 40457,
+      "path": "data/internal_test/pc6/goedel_workbook-000449-0000-2fd91e5cdb755fa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2fd91e5cdb755fa18400e1fb361d37948ece1d01317f654baf448c315c662902"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000450.json b/manifests/batches/goedel_workbook/000450.json
index b016ab2391446826815bfb3e68850b263e589593..e0a826bb43d30201a19dc476acf317c3db9d87cb 100644
--- a/manifests/batches/goedel_workbook/000450.json
+++ b/manifests/batches/goedel_workbook/000450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000450",
   "batch_fingerprint": "a16619cdcd85376a9935f417c2894175b57e10911170e3ade41559cd3324c226",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000450-0000-617af1dc37e02609.parquet",
-      "sha256": "617af1dc37e026096c014c6f24292cb619a1ecfaa5964909a0902f5344428f16",
-      "bytes": 225218,
-      "rows": 48,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000450-0000-24f050c384e715b3.parquet",
-      "sha256": "24f050c384e715b37926e15605c5f0ed0c2ee6db18d7611cd4c2d345421d3def",
-      "bytes": 33618,
-      "rows": 2,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000450-0000-25f324f721338c12.parquet",
-      "sha256": "25f324f721338c120666ef4d6abcb901b3ccb15790cb24bb0f8999a72de4b796",
-      "bytes": 34932,
-      "rows": 2,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56155",
     "goedel_workbook:lean_workbook_56157",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011269.lean\",\"82e4e4ba623797105cc286cdc018ffef1480019ef8c4d07d98fad13d810b75bc\",0,\"lean_workbook_56228\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011272.lean\",\"d7671775c66cdb8464f4281af9f7a3d2991496b53bbef7824599bef385f8c11b\",0,\"lean_workbook_5624\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011274.lean\",\"3494b2240987da844b0a336d09e349ef4bfc5fb4b43b4616310118a36e56b4e7\",0,\"lean_workbook_56243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225218,
+      "path": "data/train/p39/goedel_workbook-000450-0000-617af1dc37e02609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "617af1dc37e026096c014c6f24292cb619a1ecfaa5964909a0902f5344428f16"
+    },
+    {
+      "bytes": 33618,
+      "path": "data/dev/p39/goedel_workbook-000450-0000-24f050c384e715b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "24f050c384e715b37926e15605c5f0ed0c2ee6db18d7611cd4c2d345421d3def"
+    },
+    {
+      "bytes": 34932,
+      "path": "data/internal_test/p39/goedel_workbook-000450-0000-25f324f721338c12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "25f324f721338c120666ef4d6abcb901b3ccb15790cb24bb0f8999a72de4b796"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000451.json b/manifests/batches/goedel_workbook/000451.json
index 33e59202a229108f056efc2f119ab2191ad1ad4a..3f6366650ec0a1195758bd5b657d77cf5ca9944c 100644
--- a/manifests/batches/goedel_workbook/000451.json
+++ b/manifests/batches/goedel_workbook/000451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000451",
   "batch_fingerprint": "80d29f3548b31cbc46aaa815c4655cf1c4c1fb6ef94318b0fdc969d9e736c6bf",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000451-0000-f9a4e496e4472f8b.parquet",
-      "sha256": "f9a4e496e4472f8b54f098f0961347a93dab13a06de6d043eb3c4e9e262b15d1",
-      "bytes": 290084,
-      "rows": 64,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000451-0000-6330da7f2a602ce1.parquet",
-      "sha256": "6330da7f2a602ce148c16b7edb1aaaac49a555d2693ced09c68b81151f28ae8d",
-      "bytes": 54968,
-      "rows": 3,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000451-0000-35877df660be2e0a.parquet",
-      "sha256": "35877df660be2e0af6cc0d0cb602aa582c12d03c08e76e54fb86f837aa0556e4",
-      "bytes": 39364,
-      "rows": 4,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56244",
     "goedel_workbook:lean_workbook_56245",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011292.lean\",\"0a4f4d7ca2cd4e15f7f3b6bbea119a4e536b2e6157d094af45f3aa6aa0f0e291\",0,\"lean_workbook_56295\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011295.lean\",\"cd996f7a4d3f5a643383812f91d07043ea30953aaac0d0910b14ac61059284ed\",0,\"lean_workbook_56302\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011298.lean\",\"2ac92e578efb031cbac2230f5538a11735e958b2f96461b0f283cb419bcf4484\",0,\"lean_workbook_56317\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290084,
+      "path": "data/train/p07/goedel_workbook-000451-0000-f9a4e496e4472f8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "f9a4e496e4472f8b54f098f0961347a93dab13a06de6d043eb3c4e9e262b15d1"
+    },
+    {
+      "bytes": 54968,
+      "path": "data/dev/p07/goedel_workbook-000451-0000-6330da7f2a602ce1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6330da7f2a602ce148c16b7edb1aaaac49a555d2693ced09c68b81151f28ae8d"
+    },
+    {
+      "bytes": 39364,
+      "path": "data/internal_test/p07/goedel_workbook-000451-0000-35877df660be2e0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "35877df660be2e0af6cc0d0cb602aa582c12d03c08e76e54fb86f837aa0556e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000452.json b/manifests/batches/goedel_workbook/000452.json
index 03ca138cec1fa8c9f1f0a54263f4d881d1f990b4..99e58c08e13a17d7a121ce7b259f37debd4744a9 100644
--- a/manifests/batches/goedel_workbook/000452.json
+++ b/manifests/batches/goedel_workbook/000452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000452",
   "batch_fingerprint": "fc9b85bcbaf677c4fb883ec9622c66b1bfa14bf7032cd71076c5fcdb9cfd89a0",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000452-0000-d713a05ffa908150.parquet",
-      "sha256": "d713a05ffa90815043546d880ae2c883fa92913ecc6177d51e91b9ba8fe07b40",
-      "bytes": 185650,
-      "rows": 42,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000452-0000-1b077dfa41aaec62.parquet",
-      "sha256": "1b077dfa41aaec62c130bf25dd83bfc61ce3f0b5cf6c8e3f0f43dfda9a25ea22",
-      "bytes": 43197,
-      "rows": 1,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000452-0000-ad939cc7d3e03c89.parquet",
-      "sha256": "ad939cc7d3e03c896893a485364d0296d5323be98b6053a0ff782ac794bf2ae2",
-      "bytes": 26533,
-      "rows": 1,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56331",
     "goedel_workbook:lean_workbook_56341",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011321.lean\",\"eefaa678fa9daf7b61a2fd2a6a2b0ffebf0f024118d54061c634a407090a32ce\",0,\"lean_workbook_56427\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011322.lean\",\"311db8a199252ee15b75224da4eea2a9976de8efdf5ca85f69625d486844c0ba\",0,\"lean_workbook_56440\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011323.lean\",\"660a6a1d35dbf29f1923c55a09fe90cf6466263ccf60be184ce7264848a66a02\",0,\"lean_workbook_56443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185650,
+      "path": "data/train/pb2/goedel_workbook-000452-0000-d713a05ffa908150.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "d713a05ffa90815043546d880ae2c883fa92913ecc6177d51e91b9ba8fe07b40"
+    },
+    {
+      "bytes": 43197,
+      "path": "data/dev/pb2/goedel_workbook-000452-0000-1b077dfa41aaec62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1b077dfa41aaec62c130bf25dd83bfc61ce3f0b5cf6c8e3f0f43dfda9a25ea22"
+    },
+    {
+      "bytes": 26533,
+      "path": "data/internal_test/pb2/goedel_workbook-000452-0000-ad939cc7d3e03c89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ad939cc7d3e03c896893a485364d0296d5323be98b6053a0ff782ac794bf2ae2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000453.json b/manifests/batches/goedel_workbook/000453.json
index 14d6348d2704d7a1c55c37b13b7d906536369854..98c89c1d131461146eb7a7b0b4b5df2c20cedcac 100644
--- a/manifests/batches/goedel_workbook/000453.json
+++ b/manifests/batches/goedel_workbook/000453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000453",
   "batch_fingerprint": "19b1600636140d28a5f6df92357fc64cc9d481216e3658a169a05913f221cebb",
   "evidence": {
@@ -145,36 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000453-0000-2048a3ecb5469c3d.parquet",
-      "sha256": "2048a3ecb5469c3df325b74032d952904ac65c37314acc03138e698c3706cd0b",
-      "bytes": 273647,
-      "rows": 22,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/train/goedel_workbook-000453-0001-b7f225b9f4182adf.parquet",
-      "sha256": "b7f225b9f4182adfefbc678897741ea8909cef724316d53f005de15612ce38ff",
-      "bytes": 157243,
-      "rows": 19,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000453-0000-bd31a114952f4731.parquet",
-      "sha256": "bd31a114952f4731e8f48a42439590a089e00d21a3adc2ca8e1740cea365f769",
-      "bytes": 41153,
-      "rows": 4,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000453-0000-affc6a018f4826cc.parquet",
-      "sha256": "affc6a018f4826ccb5a6eea617dac7af58d898ebdd66647bbd4cb5f216ed1112",
-      "bytes": 29971,
-      "rows": 2,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56454",
     "goedel_workbook:lean_workbook_56459",
@@ -214,5 +184,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011347.lean\",\"0e6a8a3fea7abc72e706d15175192a1a229b6dbc9b93b668d23ba6af20ec116d\",0,\"lean_workbook_56516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011348.lean\",\"2e5fa999592f7bd72d3acab522850cafc462db5d2430e0114e7a7dd640e1e745\",0,\"lean_workbook_56521\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011349.lean\",\"e9efed0cc74c9556fe3766035aae37d142e644c705cd7f3217e821e5cc96baec\",0,\"lean_workbook_56524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273647,
+      "path": "data/train/p7e/goedel_workbook-000453-0000-2048a3ecb5469c3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2048a3ecb5469c3df325b74032d952904ac65c37314acc03138e698c3706cd0b"
+    },
+    {
+      "bytes": 157243,
+      "path": "data/train/p7e/goedel_workbook-000453-0001-b7f225b9f4182adf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b7f225b9f4182adfefbc678897741ea8909cef724316d53f005de15612ce38ff"
+    },
+    {
+      "bytes": 41153,
+      "path": "data/dev/p7e/goedel_workbook-000453-0000-bd31a114952f4731.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bd31a114952f4731e8f48a42439590a089e00d21a3adc2ca8e1740cea365f769"
+    },
+    {
+      "bytes": 29971,
+      "path": "data/internal_test/p7e/goedel_workbook-000453-0000-affc6a018f4826cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "affc6a018f4826ccb5a6eea617dac7af58d898ebdd66647bbd4cb5f216ed1112"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000454.json b/manifests/batches/goedel_workbook/000454.json
index d03388088818cd9adf5392d4cdb4a92c8d749e31..43d8876fde0b24f50f5d13ba7856c9344ae4152f 100644
--- a/manifests/batches/goedel_workbook/000454.json
+++ b/manifests/batches/goedel_workbook/000454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000454",
   "batch_fingerprint": "6265ff693fca48e0fb1f727e0376a1f0a0272352dfdd2699f5dc9f9eeaa4c6de",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000454-0000-e9768a149b456365.parquet",
-      "sha256": "e9768a149b456365fb43532c5bcfa2aace8c9cad01b845fa1f3909748f96722c",
-      "bytes": 226792,
-      "rows": 48,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000454-0000-f3a848b95c31b7d2.parquet",
-      "sha256": "f3a848b95c31b7d29b013dcdcf28a30e9c5e007f242988d70f1378119e215d53",
-      "bytes": 27112,
-      "rows": 1,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56526",
     "goedel_workbook:lean_workbook_56529",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011367.lean\",\"56cb3394d8dd3c29a8003055490b15528f6bdfde6511745864c02f238252bc05\",0,\"lean_workbook_56582\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011373.lean\",\"90fae1a6c41d97d9c97bdfd6fb41fed6664b93f3ef2acc63a9843690124154af\",0,\"lean_workbook_5663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226792,
+      "path": "data/train/pcd/goedel_workbook-000454-0000-e9768a149b456365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "e9768a149b456365fb43532c5bcfa2aace8c9cad01b845fa1f3909748f96722c"
+    },
+    {
+      "bytes": 27112,
+      "path": "data/dev/pcd/goedel_workbook-000454-0000-f3a848b95c31b7d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f3a848b95c31b7d29b013dcdcf28a30e9c5e007f242988d70f1378119e215d53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000455.json b/manifests/batches/goedel_workbook/000455.json
index 36b39198b898fcd4f9df4f6b63ae9d0763ac6302..b5983a203780d58f33e75036c3298c9e99b125c9 100644
--- a/manifests/batches/goedel_workbook/000455.json
+++ b/manifests/batches/goedel_workbook/000455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000455",
   "batch_fingerprint": "dd50c7293d56686380e2ccb42a3e9f06bd8ee77cb3eb42fc2c72af4338bea422",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000455-0000-c65da657d7f88df6.parquet",
-      "sha256": "c65da657d7f88df6d168239a7ee0854e1c550102b3084ab0c596fd26fc8324a1",
-      "bytes": 94136,
-      "rows": 21,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000455-0000-3cc4c3913b25866b.parquet",
-      "sha256": "3cc4c3913b25866b73d478cb14ca1ebe37caa32d43402941e3886c8f99d86916",
-      "bytes": 44166,
-      "rows": 5,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000455-0000-8f9323983cb9bcb4.parquet",
-      "sha256": "8f9323983cb9bcb442dcacefe1369ecf921304ac5af2e46ffd416018cdc1d741",
-      "bytes": 41155,
-      "rows": 4,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56651",
     "goedel_workbook:lean_workbook_56654",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011394.lean\",\"9cd07f1b951968152743cd85df1b64cc8e22e6b732bb863c45125785bd558bcd\",0,\"lean_workbook_56695\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 94136,
+      "path": "data/train/pd5/goedel_workbook-000455-0000-c65da657d7f88df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c65da657d7f88df6d168239a7ee0854e1c550102b3084ab0c596fd26fc8324a1"
+    },
+    {
+      "bytes": 44166,
+      "path": "data/dev/pd5/goedel_workbook-000455-0000-3cc4c3913b25866b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3cc4c3913b25866b73d478cb14ca1ebe37caa32d43402941e3886c8f99d86916"
+    },
+    {
+      "bytes": 41155,
+      "path": "data/internal_test/pd5/goedel_workbook-000455-0000-8f9323983cb9bcb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8f9323983cb9bcb442dcacefe1369ecf921304ac5af2e46ffd416018cdc1d741"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000456.json b/manifests/batches/goedel_workbook/000456.json
index 02833ad70f29e47fa1d868625441c86b9bd03bb7..5ba6cf40a6cb363a142b22c8b996220103aaea55 100644
--- a/manifests/batches/goedel_workbook/000456.json
+++ b/manifests/batches/goedel_workbook/000456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000456",
   "batch_fingerprint": "c64a7579680ad8ca885749aed40acc5d9ffb26affa6759509d4f5698d8205774",
   "evidence": {
@@ -307,22 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000456-0000-712080623f61f656.parquet",
-      "sha256": "712080623f61f6562c88e8628ec3b3d253cc80fb8c5c948df1d9f05b2d537c35",
-      "bytes": 163669,
-      "rows": 25,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000456-0000-682a6253b1614ca4.parquet",
-      "sha256": "682a6253b1614ca451bfe0a39ba8d277068eabfeb8d42d439320d6fb583b0fe3",
-      "bytes": 43696,
-      "rows": 7,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56732",
     "goedel_workbook:lean_workbook_56742",
@@ -344,5 +328,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011417.lean\",\"7f559f062c072cbaa579461f3945f900e2a279943e2fbe35961c66c9189e4ef5\",0,\"lean_workbook_56804\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011420.lean\",\"96d82731c51417f5b13111c725935c1435441bb648a66041f1ecf527ce8e57cf\",0,\"lean_workbook_56827\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011424.lean\",\"14c2d1f0ff80926f777978ac8cc97d83908ca12906badf20db0fa2726a0cf3a8\",0,\"lean_workbook_56832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163669,
+      "path": "data/train/p55/goedel_workbook-000456-0000-712080623f61f656.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "712080623f61f6562c88e8628ec3b3d253cc80fb8c5c948df1d9f05b2d537c35"
+    },
+    {
+      "bytes": 43696,
+      "path": "data/internal_test/p55/goedel_workbook-000456-0000-682a6253b1614ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "682a6253b1614ca451bfe0a39ba8d277068eabfeb8d42d439320d6fb583b0fe3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000457.json b/manifests/batches/goedel_workbook/000457.json
index f3aadd9510372d7b3f7160238c27c108634d40ef..5aecc1290bacf5256ef71989dad35c146940d05c 100644
--- a/manifests/batches/goedel_workbook/000457.json
+++ b/manifests/batches/goedel_workbook/000457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000457",
   "batch_fingerprint": "b72b5a55a43c2fc33c68ecb1b6e87e3fd465624cefbd772f22ba5ae8c6293663",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000457-0000-0149f95b8b7a5f89.parquet",
-      "sha256": "0149f95b8b7a5f899c62703516746639550b138846b18faf611b254ac9af3296",
-      "bytes": 319429,
-      "rows": 60,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000457-0000-3d17d37acdac3207.parquet",
-      "sha256": "3d17d37acdac3207ccf43e916da3ccbe65a8979d40d4939e64aedac448c14b6f",
-      "bytes": 28045,
-      "rows": 1,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56845",
     "goedel_workbook:lean_workbook_5685",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011439.lean\",\"ec81750430f011674a168d9a7db5433eeb3f577c0abd42e82d33d6c1bd008500\",0,\"lean_workbook_56929\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011440.lean\",\"5a5475896142571a705e6472d7e4006e9e82fab3e666bf0060905ed015c9c702\",0,\"lean_workbook_56932\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011444.lean\",\"550f2f634daa0ede490f808ffb5c7e3bcfe8995595f556da5eb85be8c4ab0736\",0,\"lean_workbook_5694\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319429,
+      "path": "data/train/pb8/goedel_workbook-000457-0000-0149f95b8b7a5f89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "0149f95b8b7a5f899c62703516746639550b138846b18faf611b254ac9af3296"
+    },
+    {
+      "bytes": 28045,
+      "path": "data/internal_test/pb8/goedel_workbook-000457-0000-3d17d37acdac3207.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3d17d37acdac3207ccf43e916da3ccbe65a8979d40d4939e64aedac448c14b6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000458.json b/manifests/batches/goedel_workbook/000458.json
index 5f7e25a2c3899350795666e2e92a4416dec3acc4..2905673a2ea02b555ecfd37ccf681a289c9df70c 100644
--- a/manifests/batches/goedel_workbook/000458.json
+++ b/manifests/batches/goedel_workbook/000458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000458",
   "batch_fingerprint": "369f4725122a093abc345654c70fbf68444194232d0c8e2d9e2dc147516a8672",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000458-0000-e0a77488d08fd846.parquet",
-      "sha256": "e0a77488d08fd8463790a79307342d38ac8bfa38543ad866c5b4928b0f6365e0",
-      "bytes": 173115,
-      "rows": 36,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000458-0000-dd31c1e1473ab1a8.parquet",
-      "sha256": "dd31c1e1473ab1a8d14e9426d5c824749d8cbe3edaf45609a9935d8aedeb62bd",
-      "bytes": 34826,
-      "rows": 1,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000458-0000-76bda29fcd5a6da1.parquet",
-      "sha256": "76bda29fcd5a6da1505e84366725a2096b996d33cd81163d8df131e1b344c325",
-      "bytes": 32504,
-      "rows": 1,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_56966",
     "goedel_workbook:lean_workbook_56967",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011472.lean\",\"544d26b2bb26c542d2a2edc4bce4155d5c8317b75b686992a44f3aed8422625f\",0,\"lean_workbook_57037\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 173115,
+      "path": "data/train/pad/goedel_workbook-000458-0000-e0a77488d08fd846.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "e0a77488d08fd8463790a79307342d38ac8bfa38543ad866c5b4928b0f6365e0"
+    },
+    {
+      "bytes": 34826,
+      "path": "data/dev/pad/goedel_workbook-000458-0000-dd31c1e1473ab1a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dd31c1e1473ab1a8d14e9426d5c824749d8cbe3edaf45609a9935d8aedeb62bd"
+    },
+    {
+      "bytes": 32504,
+      "path": "data/internal_test/pad/goedel_workbook-000458-0000-76bda29fcd5a6da1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76bda29fcd5a6da1505e84366725a2096b996d33cd81163d8df131e1b344c325"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000459.json b/manifests/batches/goedel_workbook/000459.json
index 78c81605ba5faee6e16646522ca4b64d53f544a7..4920b88bbe759147900360795e8c8aa891f0fea2 100644
--- a/manifests/batches/goedel_workbook/000459.json
+++ b/manifests/batches/goedel_workbook/000459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000459",
   "batch_fingerprint": "c1f7d32c613c53352d154d02d951e734505cef7178193c2da2b25e110680c3cf",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000459-0000-07a6d5d76cbed1a2.parquet",
-      "sha256": "07a6d5d76cbed1a21a662529bee45abef5e3efbaa7191df1c8d42fba6745b824",
-      "bytes": 325449,
-      "rows": 46,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000459-0000-c4e41164c958bf04.parquet",
-      "sha256": "c4e41164c958bf048ac290c62a8813297a63fe1b95f3fe1e78484df4ebb33893",
-      "bytes": 67955,
-      "rows": 5,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_57041",
     "goedel_workbook:lean_workbook_57046",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011495.lean\",\"6d5f56625962dc2ee2f4b62e642593a64dc13a361aa94270a10d990a382f036b\",0,\"lean_workbook_57135\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011498.lean\",\"3fdf60a53a3af2671300e4e0e9b743dc5646d1075f82f4b4da5a129542a050c0\",0,\"lean_workbook_57143\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325449,
+      "path": "data/train/p07/goedel_workbook-000459-0000-07a6d5d76cbed1a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "07a6d5d76cbed1a21a662529bee45abef5e3efbaa7191df1c8d42fba6745b824"
+    },
+    {
+      "bytes": 67955,
+      "path": "data/dev/p07/goedel_workbook-000459-0000-c4e41164c958bf04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c4e41164c958bf048ac290c62a8813297a63fe1b95f3fe1e78484df4ebb33893"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000460.json b/manifests/batches/goedel_workbook/000460.json
index 312b9bb10f2f86feea519f0e09d63daeb60c7c94..674d02c9403b99f747bf07169a2b2834e89ffa2e 100644
--- a/manifests/batches/goedel_workbook/000460.json
+++ b/manifests/batches/goedel_workbook/000460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000460",
   "batch_fingerprint": "88a0f768547a8fa150de3beaab2ada3c5414cd381074e56d49543f17d772787f",
   "evidence": {
@@ -262,15 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000460-0000-1932a63420c40533.parquet",
-      "sha256": "1932a63420c4053330255be388310e44ca37f46f6a08eefd2fa387606176401f",
-      "bytes": 314872,
-      "rows": 47,
-      "revision": "c2e09ef491286e29f3e7aa035c29ee1b46af68c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5715",
     "goedel_workbook:lean_workbook_57160",
@@ -298,5 +289,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011516.lean\",\"1a1306635ce997f2400fc9ef69077d2aec7b6f743bdeaa3e50ee6cdd47b7728a\",0,\"lean_workbook_57219\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011522.lean\",\"146ac508c4a68536ca74290f411418d1be3b56cb56ef8d79c90cb5c208fb5eea\",0,\"lean_workbook_57236\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011523.lean\",\"d2a6ec870966290f838c0d68e839f60852a3cfc45a8d3a97c58a39bb2baa3a8a\",0,\"lean_workbook_57237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314872,
+      "path": "data/train/pb6/goedel_workbook-000460-0000-1932a63420c40533.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "1932a63420c4053330255be388310e44ca37f46f6a08eefd2fa387606176401f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000461.json b/manifests/batches/goedel_workbook/000461.json
index 83b4232c735780e8b81686ac3805a0960ab52c4f..65f9ad2ff0d8dddd3be9486f7ae333e0c90b80fc 100644
--- a/manifests/batches/goedel_workbook/000461.json
+++ b/manifests/batches/goedel_workbook/000461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000461",
   "batch_fingerprint": "f3c46892726fcc2556c3510eefb96ebfc1df629c39453c84d81f0404644cd280",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000461-0000-c16d1c18db0bdde3.parquet",
-      "sha256": "c16d1c18db0bdde3c40eb5e86a253a9d0c9f11f7891665b6181677451cb79358",
-      "bytes": 205773,
-      "rows": 49,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000461-0000-d26d95cb8f148b9e.parquet",
-      "sha256": "d26d95cb8f148b9e361718d5d85962ce6298eee22df2622c6657045ad8d97c02",
-      "bytes": 42678,
-      "rows": 6,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5725",
     "goedel_workbook:lean_workbook_57250",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011545.lean\",\"d32a857caccba2250057fbc301fe0ca661707fc03e0acd5675d05f7cc861b062\",0,\"lean_workbook_57306\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011547.lean\",\"90741121f79c4519408b8ed8bf98b1488298d8250cdecd368984dab8fa4544e6\",0,\"lean_workbook_57310\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011548.lean\",\"f193c9e617034e76cf84821c7fca831a8d245945100c7399bb94b28b1c4b183a\",0,\"lean_workbook_57314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205773,
+      "path": "data/train/p34/goedel_workbook-000461-0000-c16d1c18db0bdde3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "c16d1c18db0bdde3c40eb5e86a253a9d0c9f11f7891665b6181677451cb79358"
+    },
+    {
+      "bytes": 42678,
+      "path": "data/internal_test/p34/goedel_workbook-000461-0000-d26d95cb8f148b9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d26d95cb8f148b9e361718d5d85962ce6298eee22df2622c6657045ad8d97c02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000462.json b/manifests/batches/goedel_workbook/000462.json
index 61cd33b42a200d2e91c4e036ed2e2ed4680418d4..9763a38d94d9c3c4f8c89be8e95ddfd820cad260 100644
--- a/manifests/batches/goedel_workbook/000462.json
+++ b/manifests/batches/goedel_workbook/000462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000462",
   "batch_fingerprint": "be0ef5f8c08ad07f9cb804797471139c459c66eab6096b1debe89ec020894940",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000462-0000-3f5cf462ea1e2e26.parquet",
-      "sha256": "3f5cf462ea1e2e26bdc5d17f1392df5cc59d2c295f065cb5c973f903a2796f77",
-      "bytes": 169355,
-      "rows": 40,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000462-0000-7c1586a468b7e027.parquet",
-      "sha256": "7c1586a468b7e0277728faa74c1f7d577267d11923a54969f7c6cba8f654f5b9",
-      "bytes": 55027,
-      "rows": 8,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_574",
     "goedel_workbook:lean_workbook_5762",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011571.lean\",\"7de20a569a4a50af6f91b6acd497fb9299cccf5a030f671b06ea6aa129835985\",0,\"lean_workbook_5836\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011574.lean\",\"7743db386bda81aced02c797a75039e4a9670f6f7e8c08127b912c09599eaafb\",0,\"lean_workbook_5847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169355,
+      "path": "data/train/p52/goedel_workbook-000462-0000-3f5cf462ea1e2e26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "3f5cf462ea1e2e26bdc5d17f1392df5cc59d2c295f065cb5c973f903a2796f77"
+    },
+    {
+      "bytes": 55027,
+      "path": "data/dev/p52/goedel_workbook-000462-0000-7c1586a468b7e027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7c1586a468b7e0277728faa74c1f7d577267d11923a54969f7c6cba8f654f5b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000463.json b/manifests/batches/goedel_workbook/000463.json
index 050b1781ec82c97d6b201c51d8924de6166c98a7..53e03343ddc171741c2b44cc588a85ded458ec62 100644
--- a/manifests/batches/goedel_workbook/000463.json
+++ b/manifests/batches/goedel_workbook/000463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000463",
   "batch_fingerprint": "246f9eed8493e489e413e6270a0a48bad2837f5afcc7a1feb5c6e9fe72117ae4",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000463-0000-6fe4bccd2cf9eed5.parquet",
-      "sha256": "6fe4bccd2cf9eed5c2e548705bf2541ed18349433b44ede462d388cd6a162630",
-      "bytes": 84333,
-      "rows": 19,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000463-0000-1357bdad490bfc8c.parquet",
-      "sha256": "1357bdad490bfc8cf9e58fa20054ea1ec7ff8acc48879710190052489190fa43",
-      "bytes": 80009,
-      "rows": 20,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5850",
     "goedel_workbook:lean_workbook_5851",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011595.lean\",\"fe9079cc83a50306a9a0fade433e2575c02d1a960820a559558c697be2d2074d\",0,\"lean_workbook_5918\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011596.lean\",\"e633ec139121468d137f93dba6e09f49bfdd18dc8682406944ce819b6ec0038d\",0,\"lean_workbook_5920\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011598.lean\",\"5c4b910b9b121a53419c1e8f4d481116513bfc25cc4832aa9453a29c00b2633d\",0,\"lean_workbook_5926\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84333,
+      "path": "data/train/p82/goedel_workbook-000463-0000-6fe4bccd2cf9eed5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6fe4bccd2cf9eed5c2e548705bf2541ed18349433b44ede462d388cd6a162630"
+    },
+    {
+      "bytes": 80009,
+      "path": "data/internal_test/p82/goedel_workbook-000463-0000-1357bdad490bfc8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1357bdad490bfc8cf9e58fa20054ea1ec7ff8acc48879710190052489190fa43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000464.json b/manifests/batches/goedel_workbook/000464.json
index fc84abd8333b1f727fca9ebb331147936030c400..c3d96ba503185bf05cbc970399e94191353e6ec2 100644
--- a/manifests/batches/goedel_workbook/000464.json
+++ b/manifests/batches/goedel_workbook/000464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000464",
   "batch_fingerprint": "58643c950b96822eae3880ce6f32845ff11e40767dd407498b16a096ff27ff76",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000464-0000-5fc32673df9cf0f6.parquet",
-      "sha256": "5fc32673df9cf0f651535eb25da8d5ebbb50b97ce31d3840f70f8ad1e51dfa8c",
-      "bytes": 178793,
-      "rows": 48,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000464-0000-6c9b77db06e9897e.parquet",
-      "sha256": "6c9b77db06e9897e2dd6b2ab7c886850f8bbf817812d6d4a0a756abec58a23a7",
-      "bytes": 39039,
-      "rows": 3,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_5930",
     "goedel_workbook:lean_workbook_5932",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011618.lean\",\"8204733002c3bda628f9d78ec11a1426167c91f60f1b1ab22dc43954ec6746c5\",0,\"lean_workbook_6033\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011621.lean\",\"c2b992cc2774ab78fe7db204de0fa0b041c2cc343188779846217bc260dca8cf\",0,\"lean_workbook_6051\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011623.lean\",\"4a184e4ed5c35bb2ef4254c5e52b2d5f40f699bca61e472038c61dc79fb2ca28\",0,\"lean_workbook_6062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178793,
+      "path": "data/train/p50/goedel_workbook-000464-0000-5fc32673df9cf0f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "5fc32673df9cf0f651535eb25da8d5ebbb50b97ce31d3840f70f8ad1e51dfa8c"
+    },
+    {
+      "bytes": 39039,
+      "path": "data/dev/p50/goedel_workbook-000464-0000-6c9b77db06e9897e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6c9b77db06e9897e2dd6b2ab7c886850f8bbf817812d6d4a0a756abec58a23a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000465.json b/manifests/batches/goedel_workbook/000465.json
index b33cec8ec6927e56db6a06457034a19db11d2032..65807b51b4a464d47236ad516e23c0789673b4b1 100644
--- a/manifests/batches/goedel_workbook/000465.json
+++ b/manifests/batches/goedel_workbook/000465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000465",
   "batch_fingerprint": "770e36b00c74d842299c5e7aefac586592f7789f4c2ea98225442cbc86c90d84",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000465-0000-a133fb1480844457.parquet",
-      "sha256": "a133fb14808444578d6f7678aac740cc8d9c57298d15d1119f2b2d6c3d77f504",
-      "bytes": 179877,
-      "rows": 44,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000465-0000-97502eacdfe7ca8f.parquet",
-      "sha256": "97502eacdfe7ca8f8e8949b3dc2632485be1354017835eb063c9150db6fe1eba",
-      "bytes": 29345,
-      "rows": 1,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6067",
     "goedel_workbook:lean_workbook_6069",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011647.lean\",\"37430f6581b218b35a0c4a9a5fb9e601c9f8a3311b82849ba6882d71126b4a0f\",0,\"lean_workbook_6163\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011648.lean\",\"e2bf25189f1a61158732522990a5c3451bbb8013ca6a40f77308f1128cc9d9b1\",0,\"lean_workbook_617\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011649.lean\",\"5d03172457ea5af3c70567c005b840ed30891b99e932999acc1343a13a3600a4\",0,\"lean_workbook_6175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179877,
+      "path": "data/train/p4c/goedel_workbook-000465-0000-a133fb1480844457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "a133fb14808444578d6f7678aac740cc8d9c57298d15d1119f2b2d6c3d77f504"
+    },
+    {
+      "bytes": 29345,
+      "path": "data/internal_test/p4c/goedel_workbook-000465-0000-97502eacdfe7ca8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "97502eacdfe7ca8f8e8949b3dc2632485be1354017835eb063c9150db6fe1eba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000466.json b/manifests/batches/goedel_workbook/000466.json
index 4b5f3d117f36dfa07dfd9cec337b94f627bfa01e..c7301721c9283653c65815c63dc26a965f42798d 100644
--- a/manifests/batches/goedel_workbook/000466.json
+++ b/manifests/batches/goedel_workbook/000466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000466",
   "batch_fingerprint": "46d7be157529cf24dddec0d957530edf88c1209450a42705b8bb248208a4d33d",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000466-0000-c48a36293cc68a47.parquet",
-      "sha256": "c48a36293cc68a4729cd6249dd395730a0769e87eb2edef3d7422be6156d0c4b",
-      "bytes": 255202,
-      "rows": 24,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/train/goedel_workbook-000466-0001-f9a9a0fe1a9d7989.parquet",
-      "sha256": "f9a9a0fe1a9d7989e17e5d372884d1b22dfa631e32268761f9e8cf1f35a015b3",
-      "bytes": 244256,
-      "rows": 25,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000466-0000-230de2cafd5d8932.parquet",
-      "sha256": "230de2cafd5d8932be1f3872c3d8f598461b2a76b8493546d486eaf762479432",
-      "bytes": 43241,
-      "rows": 5,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6177",
     "goedel_workbook:lean_workbook_618",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011670.lean\",\"c943e1bef378845aadada16103d286f959a86bfd1884b09d087d88025cea0834\",0,\"lean_workbook_6240\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011673.lean\",\"6270828d5b2879f55ffb862ce6402ea6d6ff54dfbb2ac8876de566376b656414\",0,\"lean_workbook_6254\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011674.lean\",\"5cd9e8f8a15488272cf2bd56eec5fa02aea5d0a8dff62de7f89ea8c1f74b61aa\",0,\"lean_workbook_6255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255202,
+      "path": "data/train/pf7/goedel_workbook-000466-0000-c48a36293cc68a47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c48a36293cc68a4729cd6249dd395730a0769e87eb2edef3d7422be6156d0c4b"
+    },
+    {
+      "bytes": 244256,
+      "path": "data/train/pf7/goedel_workbook-000466-0001-f9a9a0fe1a9d7989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f9a9a0fe1a9d7989e17e5d372884d1b22dfa631e32268761f9e8cf1f35a015b3"
+    },
+    {
+      "bytes": 43241,
+      "path": "data/internal_test/pf7/goedel_workbook-000466-0000-230de2cafd5d8932.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "230de2cafd5d8932be1f3872c3d8f598461b2a76b8493546d486eaf762479432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000467.json b/manifests/batches/goedel_workbook/000467.json
index 026bd1a16bcb80cd60bdb2d25e8d7eb9eaa667c5..1cce10ac8402029b47d89daa9a30e31ebe2edce8 100644
--- a/manifests/batches/goedel_workbook/000467.json
+++ b/manifests/batches/goedel_workbook/000467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000467",
   "batch_fingerprint": "787d377a26d3890a869677a373e0d9b6d90f226ac5757bd163e4a303055c0eae",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000467-0000-94f2803cab2e4d7a.parquet",
-      "sha256": "94f2803cab2e4d7a26e9bb51a3881d645edab6bfaef2fc42dcfa199859099efe",
-      "bytes": 243564,
-      "rows": 55,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000467-0000-a69dec68bbe6e4ba.parquet",
-      "sha256": "a69dec68bbe6e4ba54d2fb4cd47264f11e3bfb6fcb2962566bce5f1964280acd",
-      "bytes": 46928,
-      "rows": 4,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6260",
     "goedel_workbook:lean_workbook_6261",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011695.lean\",\"b50cb12fc56ca74731510535fa66ec5a416d6cc3e0a4e73281caa2e0ac222ef1\",0,\"lean_workbook_6332\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011696.lean\",\"2096580fa8ecd7b4c66b83508a663314ce9cf6169ca3611460c165a5419528f7\",0,\"lean_workbook_6333\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011698.lean\",\"b2fb6c810fcb67a9b6f405dec76f05732ad077fbcdfc60f3a15281ed53572e92\",0,\"lean_workbook_6337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243564,
+      "path": "data/train/p00/goedel_workbook-000467-0000-94f2803cab2e4d7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "94f2803cab2e4d7a26e9bb51a3881d645edab6bfaef2fc42dcfa199859099efe"
+    },
+    {
+      "bytes": 46928,
+      "path": "data/internal_test/p00/goedel_workbook-000467-0000-a69dec68bbe6e4ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a69dec68bbe6e4ba54d2fb4cd47264f11e3bfb6fcb2962566bce5f1964280acd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000468.json b/manifests/batches/goedel_workbook/000468.json
index 058164f1e0e6d29731903a59ac4321aae23013f3..0e28e4943c3cb84e9b285066ac43d1e1cf85c697 100644
--- a/manifests/batches/goedel_workbook/000468.json
+++ b/manifests/batches/goedel_workbook/000468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000468",
   "batch_fingerprint": "f8282312cd30517368af45d2793264396b49dbcac75c2de8482431ebec45beb5",
   "evidence": {
@@ -200,29 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000468-0000-915879e798015976.parquet",
-      "sha256": "915879e798015976fed1e5701d88b503752d9a0564beb0bde38679445e431809",
-      "bytes": 68957,
-      "rows": 19,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000468-0000-70317f8ab77bdedc.parquet",
-      "sha256": "70317f8ab77bdedcf92bb06e58c1b4faff8653d13572e30c5594e7276257931d",
-      "bytes": 38992,
-      "rows": 4,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000468-0000-83710ed078ab9016.parquet",
-      "sha256": "83710ed078ab9016daf0fb584997574b381e8116f07b0371d64618ac294a0883",
-      "bytes": 38550,
-      "rows": 4,
-      "revision": "90d71e51683ea7da5148740cc9671a5b46d6d28c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6343",
     "goedel_workbook:lean_workbook_6351",
@@ -256,5 +233,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011721.lean\",\"551137fdd06b7e9731a5f10011b91d81893cc85a2a971e24efac96b4d118647a\",0,\"lean_workbook_6435\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011722.lean\",\"5791506e8b0ece030bf46c96241a17849e88259a74127da9dd7e6062bde1caaa\",0,\"lean_workbook_6444\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011723.lean\",\"65f217185ffecf6da074e7fa7e679bc74cee16501e09a5bb28d9f03b1d97f8b5\",0,\"lean_workbook_6454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68957,
+      "path": "data/train/p17/goedel_workbook-000468-0000-915879e798015976.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "915879e798015976fed1e5701d88b503752d9a0564beb0bde38679445e431809"
+    },
+    {
+      "bytes": 38992,
+      "path": "data/dev/p17/goedel_workbook-000468-0000-70317f8ab77bdedc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "70317f8ab77bdedcf92bb06e58c1b4faff8653d13572e30c5594e7276257931d"
+    },
+    {
+      "bytes": 38550,
+      "path": "data/internal_test/p17/goedel_workbook-000468-0000-83710ed078ab9016.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "83710ed078ab9016daf0fb584997574b381e8116f07b0371d64618ac294a0883"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000469.json b/manifests/batches/goedel_workbook/000469.json
index 449e9011c48e86119b05cf45643190cee1ef94e7..0dff2ea62b96662db0c15b7399b6f3e3a52b070a 100644
--- a/manifests/batches/goedel_workbook/000469.json
+++ b/manifests/batches/goedel_workbook/000469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000469",
   "batch_fingerprint": "ca4ff16a6a1966950cda2db9bfbb49173ca6ecb703a8106343d16d7053549a21",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000469-0000-5c117f1d479aea04.parquet",
-      "sha256": "5c117f1d479aea047c41b3bba2643d4c7b1e659187c37a09b1012de61bb0ee6f",
-      "bytes": 256108,
-      "rows": 53,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000469-0000-8d92fefe4d104e03.parquet",
-      "sha256": "8d92fefe4d104e030095e101a7fd4e02321547a665ab250d6d656aec1fca9e22",
-      "bytes": 29196,
-      "rows": 1,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6465",
     "goedel_workbook:lean_workbook_6468",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011745.lean\",\"c7f18673df54b36f4c6098e5e962ece72f605552ebea0ba5a8e29f10a9c5f79b\",0,\"lean_workbook_6541\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011746.lean\",\"ea91887396cd964023166ce032ebbddb3ec51464433e1658290068f820ef2087\",0,\"lean_workbook_6542\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011747.lean\",\"265e25e499cae1d645ba247fb96109f446435d55a8327026eb61c68a09681e3b\",0,\"lean_workbook_6543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256108,
+      "path": "data/train/peb/goedel_workbook-000469-0000-5c117f1d479aea04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "5c117f1d479aea047c41b3bba2643d4c7b1e659187c37a09b1012de61bb0ee6f"
+    },
+    {
+      "bytes": 29196,
+      "path": "data/dev/peb/goedel_workbook-000469-0000-8d92fefe4d104e03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8d92fefe4d104e030095e101a7fd4e02321547a665ab250d6d656aec1fca9e22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000470.json b/manifests/batches/goedel_workbook/000470.json
index daddc4be924b5a374e68ae77f86b5f9d540776c1..32701e2923026dd2dd5d037023150fb4002e8102 100644
--- a/manifests/batches/goedel_workbook/000470.json
+++ b/manifests/batches/goedel_workbook/000470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000470",
   "batch_fingerprint": "38b107b1e4a4320e1c7d0fd480e7271b2556f75fb28bf284e3b20e6c3938596d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000470-0000-d11ec51de93bbbbe.parquet",
-      "sha256": "d11ec51de93bbbbe37c255f3c240396b5c3a5d4007803f4e7282941eae8da7d1",
-      "bytes": 207756,
-      "rows": 47,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000470-0000-6630726f3088fa5d.parquet",
-      "sha256": "6630726f3088fa5da1a7352df7bd36f3b319ee6d2a508d1f62b9bb6489f44822",
-      "bytes": 37983,
-      "rows": 3,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000470-0000-cf19f72c84e271c8.parquet",
-      "sha256": "cf19f72c84e271c8d459733d419d740edd49baec133c2357044682ea4791796b",
-      "bytes": 34185,
-      "rows": 3,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6563",
     "goedel_workbook:lean_workbook_6575",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011772.lean\",\"ecb86ec54cdd35048de99b07343094902f6987ee450bbc11cab2f91f64f186db\",0,\"lean_workbook_6672\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011773.lean\",\"ad8227148d4eb8bbd5cbb3d674c87ecaa1380eb62d96c7f79098c685a88c1c1f\",0,\"lean_workbook_6679\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011774.lean\",\"fc6dfa9de997dd31d21fb9eb3210dadab73edc3a0060efe729d3bcdff7b7f085\",0,\"lean_workbook_6681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207756,
+      "path": "data/train/p9c/goedel_workbook-000470-0000-d11ec51de93bbbbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "d11ec51de93bbbbe37c255f3c240396b5c3a5d4007803f4e7282941eae8da7d1"
+    },
+    {
+      "bytes": 37983,
+      "path": "data/dev/p9c/goedel_workbook-000470-0000-6630726f3088fa5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6630726f3088fa5da1a7352df7bd36f3b319ee6d2a508d1f62b9bb6489f44822"
+    },
+    {
+      "bytes": 34185,
+      "path": "data/internal_test/p9c/goedel_workbook-000470-0000-cf19f72c84e271c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cf19f72c84e271c8d459733d419d740edd49baec133c2357044682ea4791796b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000471.json b/manifests/batches/goedel_workbook/000471.json
index c1d59b42e94c22427ac2fd65545400ede61bc58e..2b3f2ba04222acd5110bea7d1d9acaf618352e5f 100644
--- a/manifests/batches/goedel_workbook/000471.json
+++ b/manifests/batches/goedel_workbook/000471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000471",
   "batch_fingerprint": "2e9e92ff0803c75222e3d4bf1834c455360b52a8c60d62f4d40450f47b4c4f6b",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000471-0000-c27197e619de9fde.parquet",
-      "sha256": "c27197e619de9fdec64135eb247fa5cb88754a2f8277e51e9116bf95843c8281",
-      "bytes": 139392,
-      "rows": 35,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000471-0000-bb5558bb5be16d8d.parquet",
-      "sha256": "bb5558bb5be16d8dd211f88e9092febd37669395fb73dd16c23daedf3e396f1a",
-      "bytes": 44773,
-      "rows": 10,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6686",
     "goedel_workbook:lean_workbook_6688",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011795.lean\",\"08b61619346bc5cfd672a808be10c0a22ddeaf3f4653b35c0b1e52b55304d50e\",0,\"lean_workbook_6748\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011796.lean\",\"e3e30db3151e0c3c2e496daedd41c576e61c0597df5940b54df293abac13bf7e\",0,\"lean_workbook_6749\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011797.lean\",\"7e780554bfa4eb2e0c457230a4b91f02b2c312c093a56235482c253b5664ec7f\",0,\"lean_workbook_676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139392,
+      "path": "data/train/pa5/goedel_workbook-000471-0000-c27197e619de9fde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "c27197e619de9fdec64135eb247fa5cb88754a2f8277e51e9116bf95843c8281"
+    },
+    {
+      "bytes": 44773,
+      "path": "data/internal_test/pa5/goedel_workbook-000471-0000-bb5558bb5be16d8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bb5558bb5be16d8dd211f88e9092febd37669395fb73dd16c23daedf3e396f1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000472.json b/manifests/batches/goedel_workbook/000472.json
index 2aee355f8def857d4c14fc922d638d7e60654d5f..98da68a9ebcb2317a92a021ffb1c899e7a01ba90 100644
--- a/manifests/batches/goedel_workbook/000472.json
+++ b/manifests/batches/goedel_workbook/000472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000472",
   "batch_fingerprint": "b36de7d68f4e74cdc945f21b74514e07920d1f2bec6ad78c6675135ac805646c",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000472-0000-4b749f791d95e0ce.parquet",
-      "sha256": "4b749f791d95e0ce65e0a734138fefac505dde8ff16debaf964cee0cacc2c09d",
-      "bytes": 90919,
-      "rows": 21,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000472-0000-87591398cea53020.parquet",
-      "sha256": "87591398cea530201db84621a9411433762b54290fa690d6a32516cb98817ac0",
-      "bytes": 33813,
-      "rows": 1,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000472-0000-5c756124438d0395.parquet",
-      "sha256": "5c756124438d0395183e4695a46f6a010a50c51db238c00b69099bc6fd526d77",
-      "bytes": 45467,
-      "rows": 5,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6765",
     "goedel_workbook:lean_workbook_6766",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011815.lean\",\"aa1b75dab319b22491dd2edc1ca09dd3bc46c6d633b81a2cfff2632d2fc743a6\",0,\"lean_workbook_6813\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011817.lean\",\"6bd37e3c47fd6bc08ccff834b5d4e6b57a98d0d58855b1cd8a471aaae282fa30\",0,\"lean_workbook_6820\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011819.lean\",\"e6738436c3b88573a02990784511c8b0322312452192c9100463ca41e496fabf\",0,\"lean_workbook_6831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90919,
+      "path": "data/train/pc6/goedel_workbook-000472-0000-4b749f791d95e0ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4b749f791d95e0ce65e0a734138fefac505dde8ff16debaf964cee0cacc2c09d"
+    },
+    {
+      "bytes": 33813,
+      "path": "data/dev/pc6/goedel_workbook-000472-0000-87591398cea53020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "87591398cea530201db84621a9411433762b54290fa690d6a32516cb98817ac0"
+    },
+    {
+      "bytes": 45467,
+      "path": "data/internal_test/pc6/goedel_workbook-000472-0000-5c756124438d0395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5c756124438d0395183e4695a46f6a010a50c51db238c00b69099bc6fd526d77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000473.json b/manifests/batches/goedel_workbook/000473.json
index 37947202fc52a11e7fe07cc4bf8d4dfc6a9c72ba..5e472b8ad70c9d0d1b07c24f5321119a9bdc5549 100644
--- a/manifests/batches/goedel_workbook/000473.json
+++ b/manifests/batches/goedel_workbook/000473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000473",
   "batch_fingerprint": "b8cbf6296e6ba33537853f2939d66899d32c6b22ecf8df4398858d120fe6e684",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000473-0000-b52323237cf4ec95.parquet",
-      "sha256": "b52323237cf4ec9595825f053e8425d5150994c3aa9e3841caee2d323d175a48",
-      "bytes": 164988,
-      "rows": 38,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000473-0000-167d0fe2bf5d73a7.parquet",
-      "sha256": "167d0fe2bf5d73a793e5ccea8bd9aaed48aa7730b7378dabe49d633bc2406479",
-      "bytes": 24408,
-      "rows": 1,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6864",
     "goedel_workbook:lean_workbook_6871",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011847.lean\",\"e50dd3901835c40174a874f4a447ac9945a14dc0b520fa48ff1382219a4da2a5\",0,\"lean_workbook_694\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011848.lean\",\"d28f8de56239d2abb29ccfc4f663d2491a574ff38b2a196bc2fca807065fc7ab\",0,\"lean_workbook_6942\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011849.lean\",\"b73832343be538ec356ed8e2f0c71a33a9644350057ca268c8e033cc4aeecce2\",0,\"lean_workbook_6947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164988,
+      "path": "data/train/pc8/goedel_workbook-000473-0000-b52323237cf4ec95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "b52323237cf4ec9595825f053e8425d5150994c3aa9e3841caee2d323d175a48"
+    },
+    {
+      "bytes": 24408,
+      "path": "data/internal_test/pc8/goedel_workbook-000473-0000-167d0fe2bf5d73a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "167d0fe2bf5d73a793e5ccea8bd9aaed48aa7730b7378dabe49d633bc2406479"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000474.json b/manifests/batches/goedel_workbook/000474.json
index f39dedb10bdadc9cb86fe25b84c52332096d97b4..b0e7954d78a8b2c5606b21c65dd30275428d5a21 100644
--- a/manifests/batches/goedel_workbook/000474.json
+++ b/manifests/batches/goedel_workbook/000474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000474",
   "batch_fingerprint": "3a3db874d168b00a886a64391928e3f73460e81015c4f1f431aed5620928f0b6",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000474-0000-1aad31aa2ed42e2f.parquet",
-      "sha256": "1aad31aa2ed42e2fe679b49a89f3519699fe37854a045bbcde794def5457af1e",
-      "bytes": 89161,
-      "rows": 31,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000474-0000-2103f9c3126ddeab.parquet",
-      "sha256": "2103f9c3126ddeabab51b4742a306fcd07f224bb5faca4974ace3a0ce67e0a8f",
-      "bytes": 33303,
-      "rows": 1,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_6949",
     "goedel_workbook:lean_workbook_695",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011870.lean\",\"397ab838dee4190dfeb4032b05c68ed0ebec16a917c1376b323be9c3c76827d8\",0,\"lean_workbook_7013\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011871.lean\",\"feb3870658e451e6534ea73b1c67a06bd5c11ef227ced02ebcffafc1fcebed2c\",0,\"lean_workbook_7014\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011872.lean\",\"e028e0b2d55d33ea3e9bcf1331e245f6aff3df4509654aef917031c725384fa7\",0,\"lean_workbook_7015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89161,
+      "path": "data/train/pa5/goedel_workbook-000474-0000-1aad31aa2ed42e2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "1aad31aa2ed42e2fe679b49a89f3519699fe37854a045bbcde794def5457af1e"
+    },
+    {
+      "bytes": 33303,
+      "path": "data/dev/pa5/goedel_workbook-000474-0000-2103f9c3126ddeab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2103f9c3126ddeabab51b4742a306fcd07f224bb5faca4974ace3a0ce67e0a8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000475.json b/manifests/batches/goedel_workbook/000475.json
index 3f2c53e367b6aa19e81e03d203f29dff13c7cd73..711240b4bc7571274dc646c1d03b16d05fd6e18c 100644
--- a/manifests/batches/goedel_workbook/000475.json
+++ b/manifests/batches/goedel_workbook/000475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000475",
   "batch_fingerprint": "6897b7681bee803c50dab789988ebb49ad4e79aca6afc9c453707da06c681637",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000475-0000-91aa8210b3f18304.parquet",
-      "sha256": "91aa8210b3f1830498af01060b74dbce86476f4658309d3b65235eb7baaedb2d",
-      "bytes": 75510,
-      "rows": 20,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000475-0000-1fd96f7417f6ae4a.parquet",
-      "sha256": "1fd96f7417f6ae4a4b9e4468e8785027c6871f127690ce14c24d863f2f6e0d75",
-      "bytes": 62641,
-      "rows": 7,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000475-0000-a51d6ba69f9fe6fb.parquet",
-      "sha256": "a51d6ba69f9fe6fb99b3bcafb157b4970a910fada1b7197590472228d7ef9d29",
-      "bytes": 38773,
-      "rows": 2,
-      "revision": "d9d17109fdf58a41deaa55ab46c1fb495b9af1f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_704",
     "goedel_workbook:lean_workbook_7042",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011894.lean\",\"e6c02990d3f5858134de332fc93d1a03c8f3ec0744628fb9f47b34e0c4998742\",0,\"lean_workbook_7136\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011896.lean\",\"681617ae78a33180e79d20b2ab5d0f3f6fef12ae86c2f802d6468c19798cf65b\",0,\"lean_workbook_7149\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011899.lean\",\"dc4cf96d3df25d40538af7ede396e9856407d7ff7ac2e1d332971f07a737a614\",0,\"lean_workbook_7156\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75510,
+      "path": "data/train/pc4/goedel_workbook-000475-0000-91aa8210b3f18304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "91aa8210b3f1830498af01060b74dbce86476f4658309d3b65235eb7baaedb2d"
+    },
+    {
+      "bytes": 62641,
+      "path": "data/dev/pc4/goedel_workbook-000475-0000-1fd96f7417f6ae4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1fd96f7417f6ae4a4b9e4468e8785027c6871f127690ce14c24d863f2f6e0d75"
+    },
+    {
+      "bytes": 38773,
+      "path": "data/internal_test/pc4/goedel_workbook-000475-0000-a51d6ba69f9fe6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a51d6ba69f9fe6fb99b3bcafb157b4970a910fada1b7197590472228d7ef9d29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000476.json b/manifests/batches/goedel_workbook/000476.json
index d1cc1230039fb653666b5024a8b96c0de89b37ac..f3e81364d65f9e77c4e6170f49967a6066a7fc1a 100644
--- a/manifests/batches/goedel_workbook/000476.json
+++ b/manifests/batches/goedel_workbook/000476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000476",
   "batch_fingerprint": "f3b9ff6d81b4c72f219e8efff8df1fc0f3fa70bfc98c4e74668b2a99547dc7be",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000476-0000-cfa1d429ab4a2539.parquet",
-      "sha256": "cfa1d429ab4a2539d329cd65e04249e078140f9e1eeeb74c7d3026a49b333faa",
-      "bytes": 190734,
-      "rows": 50,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000476-0000-550b0acbd8b85abb.parquet",
-      "sha256": "550b0acbd8b85abbc2ebd8b7aa0504ceeb94daf5930311d0fc38085c43514e11",
-      "bytes": 38201,
-      "rows": 2,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7157",
     "goedel_workbook:lean_workbook_7160",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011920.lean\",\"420d07fe1096110b7744786f788b1811bccc233d508d6e14b6b9339a8ca90959\",0,\"lean_workbook_7260\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011923.lean\",\"de4f5278f478339710240e259fc7629afdb69dcebdc3c253dcd88dedff2b9d1d\",0,\"lean_workbook_7271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190734,
+      "path": "data/train/pf9/goedel_workbook-000476-0000-cfa1d429ab4a2539.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "cfa1d429ab4a2539d329cd65e04249e078140f9e1eeeb74c7d3026a49b333faa"
+    },
+    {
+      "bytes": 38201,
+      "path": "data/internal_test/pf9/goedel_workbook-000476-0000-550b0acbd8b85abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "550b0acbd8b85abbc2ebd8b7aa0504ceeb94daf5930311d0fc38085c43514e11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000477.json b/manifests/batches/goedel_workbook/000477.json
index 781faadcac0a40b292a138c21dc5e67b768b2b94..372d459a20aa984dd2ee4ff04fca3c9c247bc228 100644
--- a/manifests/batches/goedel_workbook/000477.json
+++ b/manifests/batches/goedel_workbook/000477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000477",
   "batch_fingerprint": "d2901cc2c465818b6855a5e4b5d2b67d35e8966eb34415bffe5567bcc644d246",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000477-0000-08b875cfa1ad50bd.parquet",
-      "sha256": "08b875cfa1ad50bd125d96730c4ea5c652059f1d7e183da5aece2c8e6cca47d4",
-      "bytes": 142891,
-      "rows": 34,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000477-0000-9d7388bd93f915e6.parquet",
-      "sha256": "9d7388bd93f915e6e4eb5c3705a0eb89c7c268e2fa82bfccded317d947a40464",
-      "bytes": 176862,
-      "rows": 7,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7273",
     "goedel_workbook:lean_workbook_7283",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011944.lean\",\"ef8c2f74903fea9f9f11eec72a55f45f1772f131e7df0e6400031c103d4799e0\",0,\"lean_workbook_7378\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011946.lean\",\"6511a859a019f95b284a1642a52e52cddce6da18a38b35afc035d0956add7709\",0,\"lean_workbook_7386\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011948.lean\",\"f5947225905df3d968cf6581da0ecc554eb98fbb1857252602e0df4d5360b0de\",0,\"lean_workbook_7397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142891,
+      "path": "data/train/p16/goedel_workbook-000477-0000-08b875cfa1ad50bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "08b875cfa1ad50bd125d96730c4ea5c652059f1d7e183da5aece2c8e6cca47d4"
+    },
+    {
+      "bytes": 176862,
+      "path": "data/internal_test/p16/goedel_workbook-000477-0000-9d7388bd93f915e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9d7388bd93f915e6e4eb5c3705a0eb89c7c268e2fa82bfccded317d947a40464"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000478.json b/manifests/batches/goedel_workbook/000478.json
index a94785486fc46d2feb0e3a51bfa3e222f4e23682..014f98d7d9d0b067192a4d13f4f7b2180a774a53 100644
--- a/manifests/batches/goedel_workbook/000478.json
+++ b/manifests/batches/goedel_workbook/000478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000478",
   "batch_fingerprint": "6968330982359fc38fdae966279ede2be060cd2d7dfe331aa2a6a258436243b6",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000478-0000-3199392cf9b869de.parquet",
-      "sha256": "3199392cf9b869decc633a135f7d7e25d33330d403656f1d81a20a5aeeec4769",
-      "bytes": 164784,
-      "rows": 41,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000478-0000-2d718a4b97054987.parquet",
-      "sha256": "2d718a4b970549875b56b095d0e5222cd06f6eddccf89f6b75a668900dce1a38",
-      "bytes": 39904,
-      "rows": 3,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_742",
     "goedel_workbook:lean_workbook_7423",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011972.lean\",\"9aec054fab6238a09733ec27a9b5fe36715ac571509f3419683ea5c4efd56ea3\",0,\"lean_workbook_7470\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011973.lean\",\"7bb3156909d0becf4a004a69819c096f2c651aac05be47ee720c5221954f67ab\",0,\"lean_workbook_7473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011974.lean\",\"73b6f82ff8209fff178eaff4f0f058a48c2c51c7e65b9481e9505daa2c98fc4c\",0,\"lean_workbook_7475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164784,
+      "path": "data/train/p4d/goedel_workbook-000478-0000-3199392cf9b869de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "3199392cf9b869decc633a135f7d7e25d33330d403656f1d81a20a5aeeec4769"
+    },
+    {
+      "bytes": 39904,
+      "path": "data/dev/p4d/goedel_workbook-000478-0000-2d718a4b97054987.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2d718a4b970549875b56b095d0e5222cd06f6eddccf89f6b75a668900dce1a38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000479.json b/manifests/batches/goedel_workbook/000479.json
index 3c4a35468377b2301dafe7dd54f6700452c0b189..3599f29f8de3a9aad2798db37aa9500309904442 100644
--- a/manifests/batches/goedel_workbook/000479.json
+++ b/manifests/batches/goedel_workbook/000479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000479",
   "batch_fingerprint": "c8e5c972947f09fedec25874b02f0454eda1c0d52acb2dba414d356842bd8b29",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000479-0000-91abc9eb136bb8b2.parquet",
-      "sha256": "91abc9eb136bb8b2e00463adad89366b8f254c3ae04586e3f74ee78fe14db80e",
-      "bytes": 167040,
-      "rows": 40,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000479-0000-1c7785ec9d6b0899.parquet",
-      "sha256": "1c7785ec9d6b08990b04120f0a1666ed033174bdfae23cfbc4152b885f535f8a",
-      "bytes": 36242,
-      "rows": 3,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7476",
     "goedel_workbook:lean_workbook_748",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011995.lean\",\"51df06f3705555cfc67d9bbc741a1230e46c81f3a8e9ebd7f5aa429110341663\",0,\"lean_workbook_754\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_011998.lean\",\"4a9d1251dfbac3448c60b8e9727dabcfae4d993ad2b8cc7bd74e52291cd644f9\",0,\"lean_workbook_7552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167040,
+      "path": "data/train/p9b/goedel_workbook-000479-0000-91abc9eb136bb8b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "91abc9eb136bb8b2e00463adad89366b8f254c3ae04586e3f74ee78fe14db80e"
+    },
+    {
+      "bytes": 36242,
+      "path": "data/internal_test/p9b/goedel_workbook-000479-0000-1c7785ec9d6b0899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1c7785ec9d6b08990b04120f0a1666ed033174bdfae23cfbc4152b885f535f8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000480.json b/manifests/batches/goedel_workbook/000480.json
index f32ef23e8b7eac1321158d25d07e8c49a07b2375..ecb4149b2178ab7f91d4879042b95f9a27334f77 100644
--- a/manifests/batches/goedel_workbook/000480.json
+++ b/manifests/batches/goedel_workbook/000480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000480",
   "batch_fingerprint": "a92434fa1d7c90a098ce30562a33f11b3f4bf4b906a1f3acc5075858c6d151f4",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000480-0000-b74889ad45890f85.parquet",
-      "sha256": "b74889ad45890f85b13dc7753f316f25445e6cc38b1f2c1a30c9326093f966ef",
-      "bytes": 121504,
-      "rows": 28,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000480-0000-196185f91677269b.parquet",
-      "sha256": "196185f91677269bf88360222ba58c63db2941a9360b2afc3d452604b395a657",
-      "bytes": 40483,
-      "rows": 5,
-      "revision": "b77a00f212de8460baf58d007e53a77cbb0c497e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7562",
     "goedel_workbook:lean_workbook_7564",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012020.lean\",\"2b510d5191685068f9ab3e5fbe25e58eeba81b2df145cbc215686ab571612d81\",0,\"lean_workbook_7626\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012022.lean\",\"becfa9c721931ad3369b01f594cbfe0d8956a9adcb1efe8560b192a09e3d89ef\",0,\"lean_workbook_7630\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012023.lean\",\"1450f79b475bb47f681385b32f4c9ef84527a31e8cafffd0efbd57d0efdd1f41\",0,\"lean_workbook_7631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121504,
+      "path": "data/train/pb4/goedel_workbook-000480-0000-b74889ad45890f85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b74889ad45890f85b13dc7753f316f25445e6cc38b1f2c1a30c9326093f966ef"
+    },
+    {
+      "bytes": 40483,
+      "path": "data/internal_test/pb4/goedel_workbook-000480-0000-196185f91677269b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "196185f91677269bf88360222ba58c63db2941a9360b2afc3d452604b395a657"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000481.json b/manifests/batches/goedel_workbook/000481.json
index f61654abe2d35311fae57b2ab2523c2a55ffaaff..15b03fd7628bd22ecd88eb7394d6595df5d229f8 100644
--- a/manifests/batches/goedel_workbook/000481.json
+++ b/manifests/batches/goedel_workbook/000481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000481",
   "batch_fingerprint": "0dc22d59e04c2384b2c2938a353e4ef8717e2977f86a55ac182b30076f05eedd",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000481-0000-65c1cc97d7e82a05.parquet",
-      "sha256": "65c1cc97d7e82a05aeac328c42046523778afa72acbc26247f2af709b62d151e",
-      "bytes": 123395,
-      "rows": 30,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000481-0000-23583768c1fe4201.parquet",
-      "sha256": "23583768c1fe420149a44c2352c151cb8ecf19e09a2b7263f3ad6f18863603be",
-      "bytes": 34670,
-      "rows": 4,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7634",
     "goedel_workbook:lean_workbook_7644",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012045.lean\",\"30ef8475005241ff7bcde8d79547f5b0c7f0c83cfcc00f8bd4a464d012e97ff9\",0,\"lean_workbook_7716\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012046.lean\",\"199fa490b59224822ab00edb9f92e8d4e1e4fe606a56e4e115097d8963e135f0\",0,\"lean_workbook_7720\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012049.lean\",\"0f9f6330bfe8c0def5c2a1218f22b909a93d0aa3dddc1d1fe5f2eed8663e3b78\",0,\"lean_workbook_7726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123395,
+      "path": "data/train/p35/goedel_workbook-000481-0000-65c1cc97d7e82a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "65c1cc97d7e82a05aeac328c42046523778afa72acbc26247f2af709b62d151e"
+    },
+    {
+      "bytes": 34670,
+      "path": "data/internal_test/p35/goedel_workbook-000481-0000-23583768c1fe4201.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "23583768c1fe420149a44c2352c151cb8ecf19e09a2b7263f3ad6f18863603be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000482.json b/manifests/batches/goedel_workbook/000482.json
index de2e88ce369edfe44195486527be34041e1a9730..3ad05fc945443dfa2bb0737dc87282df65b6e880 100644
--- a/manifests/batches/goedel_workbook/000482.json
+++ b/manifests/batches/goedel_workbook/000482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000482",
   "batch_fingerprint": "a5288c66d6514de8251c764f78e919b536a30144c3ca4add46341d445e36ed62",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000482-0000-c98644cc45381818.parquet",
-      "sha256": "c98644cc453818187a75b53353bfa41408dbf86c22fafd89f01bea431331cf2f",
-      "bytes": 301459,
-      "rows": 40,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_773",
     "goedel_workbook:lean_workbook_7730",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012072.lean\",\"f6cebe58df9d4c18ab1b5b8756315090d5d0b136c5b7504cd18e6a1deb56db33\",0,\"lean_workbook_7824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012073.lean\",\"9c41c7c4cb93e1526a266e730b62bdcea25fd6533892b265e83811601804b3ab\",0,\"lean_workbook_7826\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012074.lean\",\"5b8b4b5351081e76f75b085594942ba4abc5757800997ae2f4834972937270d6\",0,\"lean_workbook_7828\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301459,
+      "path": "data/train/p71/goedel_workbook-000482-0000-c98644cc45381818.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "c98644cc453818187a75b53353bfa41408dbf86c22fafd89f01bea431331cf2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000483.json b/manifests/batches/goedel_workbook/000483.json
index 6f4345fab301fdf6a0ad63c67ea82e87b412aa40..0bc5d34da2defa896fface3b33fe499a3451a762 100644
--- a/manifests/batches/goedel_workbook/000483.json
+++ b/manifests/batches/goedel_workbook/000483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000483",
   "batch_fingerprint": "f51540b1c76421dc99b13ff13bb03338adf75f321d49936e4d281298765cc4d9",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000483-0000-8f8c0e02387b3aec.parquet",
-      "sha256": "8f8c0e02387b3aec80131f7b7aed757ed7541917217714559bbac4235d451213",
-      "bytes": 175946,
-      "rows": 52,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000483-0000-08d7acfab71b30b9.parquet",
-      "sha256": "08d7acfab71b30b98f65aecbc1a9dc73e356086bfe310f1936fef1bfaca80994",
-      "bytes": 59486,
-      "rows": 11,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000483-0000-6dd7e7635674d79a.parquet",
-      "sha256": "6dd7e7635674d79a857417d22ddcff6bf7eada9ef3911d98ac299670e3142dfb",
-      "bytes": 39506,
-      "rows": 4,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_7829",
     "goedel_workbook:lean_workbook_7830",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012096.lean\",\"0e2ef7b062b51e88035f035a2df6b211777b6c0362faa119c57cf02440bd9d42\",0,\"lean_workbook_7938\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012097.lean\",\"c51976aa4f8192b590c0f345d6b37c4b7f8f2503dd523a3f130a1c5c3c9f8c20\",0,\"lean_workbook_7939\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012099.lean\",\"bf8af2ef187c52bb33c8aaa0abb1de77daf0a58c66f44c40fa62420e3a52527d\",0,\"lean_workbook_7947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175946,
+      "path": "data/train/p28/goedel_workbook-000483-0000-8f8c0e02387b3aec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "8f8c0e02387b3aec80131f7b7aed757ed7541917217714559bbac4235d451213"
+    },
+    {
+      "bytes": 59486,
+      "path": "data/dev/p28/goedel_workbook-000483-0000-08d7acfab71b30b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "08d7acfab71b30b98f65aecbc1a9dc73e356086bfe310f1936fef1bfaca80994"
+    },
+    {
+      "bytes": 39506,
+      "path": "data/internal_test/p28/goedel_workbook-000483-0000-6dd7e7635674d79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6dd7e7635674d79a857417d22ddcff6bf7eada9ef3911d98ac299670e3142dfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000484.json b/manifests/batches/goedel_workbook/000484.json
index 1aa54aa3b4bfdf675bc71d10ce920399f0ca48e3..799c6d6acc2d2a6d9fa4aa29ba313736e1e2ff7e 100644
--- a/manifests/batches/goedel_workbook/000484.json
+++ b/manifests/batches/goedel_workbook/000484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000484",
   "batch_fingerprint": "79a8b93f11968044ee0aa6e2765ec7b6407be2cba43e4f21189ceeb5d83f3c73",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000484-0000-2b5c6f64128e81eb.parquet",
-      "sha256": "2b5c6f64128e81ebe916d0eef9bbf11976f518f22298314601de18096dd0693b",
-      "bytes": 181105,
-      "rows": 58,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000484-0000-b2b165840185c2a8.parquet",
-      "sha256": "b2b165840185c2a8eb95e5e8324d34a61720dacd1420bca85ff123a993486890",
-      "bytes": 36874,
-      "rows": 1,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_795",
     "goedel_workbook:lean_workbook_7959",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012121.lean\",\"ba36682b2cbf1442948424487a6d6985baf869ec3298f2f3e326606351592b65\",0,\"lean_workbook_8036\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012122.lean\",\"95bbacfd51e4bfbf685c4a29de1c3c3e82e5acced71170766e91999d78b8799c\",0,\"lean_workbook_8038\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012123.lean\",\"c60874103c43edfdb2ffcf3d290d63b291e0123c05b205020a7040f145ef301d\",0,\"lean_workbook_804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181105,
+      "path": "data/train/p42/goedel_workbook-000484-0000-2b5c6f64128e81eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "2b5c6f64128e81ebe916d0eef9bbf11976f518f22298314601de18096dd0693b"
+    },
+    {
+      "bytes": 36874,
+      "path": "data/internal_test/p42/goedel_workbook-000484-0000-b2b165840185c2a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b2b165840185c2a8eb95e5e8324d34a61720dacd1420bca85ff123a993486890"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000485.json b/manifests/batches/goedel_workbook/000485.json
index fc5ca6d6a03caf606921c2ee3fa723674d9f62ce..6cb3ba2d9771f83c758284b91e55462d4e6961bc 100644
--- a/manifests/batches/goedel_workbook/000485.json
+++ b/manifests/batches/goedel_workbook/000485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000485",
   "batch_fingerprint": "a24d753f789b6b47b45b617e164ad0d2eea8867bb85f9f91a08d4c27809ea395",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000485-0000-460b2b42859befeb.parquet",
-      "sha256": "460b2b42859befeb8140f55ee417ba21c4ef3538b9b6b419a205ec84104359ee",
-      "bytes": 167799,
-      "rows": 48,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8063",
     "goedel_workbook:lean_workbook_8064",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012147.lean\",\"7bdbd46f418444e1b9d0d4a5a27bce38d3a4032f947a9eba8265964d3f01e183\",0,\"lean_workbook_8128\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012148.lean\",\"a15b0ecd60f70f15ff2969e856349398bbbf564e62d89c5b0cd6743cbdef127c\",0,\"lean_workbook_8137\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012149.lean\",\"77b28fff55a2e88d7517dce098f9d3a0ab689f5108e296ea8d184bbd684b72b3\",0,\"lean_workbook_8142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167799,
+      "path": "data/train/pbc/goedel_workbook-000485-0000-460b2b42859befeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "460b2b42859befeb8140f55ee417ba21c4ef3538b9b6b419a205ec84104359ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000486.json b/manifests/batches/goedel_workbook/000486.json
index 694c6490ad48e34991a11688048e3bdf5e3de182..116ec7987097551ec48a614ed2187265315704da 100644
--- a/manifests/batches/goedel_workbook/000486.json
+++ b/manifests/batches/goedel_workbook/000486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000486",
   "batch_fingerprint": "42a3fa98d0d330f92d9f926b8797e4db3a26c3b9f4e8bc0abab69a345c86738a",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000486-0000-d3c24883147c8475.parquet",
-      "sha256": "d3c24883147c8475dc803fab121b14f01a3fcb407952217368485898081095aa",
-      "bytes": 192138,
-      "rows": 42,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000486-0000-00179ed6aea68cab.parquet",
-      "sha256": "00179ed6aea68cab2d89f551024add9b3227052888ec49c687e516b0fba3c979",
-      "bytes": 36303,
-      "rows": 2,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000486-0000-807bfc4c6f9eb3e5.parquet",
-      "sha256": "807bfc4c6f9eb3e53a33ede8f584fb24697d44859ca5241490fd17c516b5a1f7",
-      "bytes": 31962,
-      "rows": 1,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8143",
     "goedel_workbook:lean_workbook_8145",
@@ -264,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012171.lean\",\"471d53cc03778cc5971f4d2ccf83013b2c73a7acb7ca5080f38c165762a9b558\",0,\"lean_workbook_8244\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012173.lean\",\"89bd08a559330b1d507b27e7e0a370b367df385b0ce05297c90aca0af8ffe865\",0,\"lean_workbook_8250\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012174.lean\",\"78789a35033bce2717cc742751f8cee05ebcddd928c816873b0fa9899c0cd6af\",0,\"lean_workbook_8258\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192138,
+      "path": "data/train/p87/goedel_workbook-000486-0000-d3c24883147c8475.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "d3c24883147c8475dc803fab121b14f01a3fcb407952217368485898081095aa"
+    },
+    {
+      "bytes": 36303,
+      "path": "data/dev/p87/goedel_workbook-000486-0000-00179ed6aea68cab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "00179ed6aea68cab2d89f551024add9b3227052888ec49c687e516b0fba3c979"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000487.json b/manifests/batches/goedel_workbook/000487.json
index 587b3d47e75594a949e23ce8864777ab42a0421d..0f109cea2e2585bee83a73ead9ddb842180d60ff 100644
--- a/manifests/batches/goedel_workbook/000487.json
+++ b/manifests/batches/goedel_workbook/000487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000487",
   "batch_fingerprint": "426b2ad6bdc90b47a8924a4433e5dda01078d8e76e95bfe02b57e86c5ffde1fd",
   "evidence": {
@@ -136,29 +135,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000487-0000-cf09988653c10693.parquet",
-      "sha256": "cf09988653c106933519592f814caa04f2347be5f015937a42a562033ae8ea70",
-      "bytes": 180028,
-      "rows": 39,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000487-0000-642ad2462f07bc5d.parquet",
-      "sha256": "642ad2462f07bc5d9672097ec272a0eb67b7adc1ef25a04edcd6d675f18805ed",
-      "bytes": 51941,
-      "rows": 5,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000487-0000-82a133a8470171c7.parquet",
-      "sha256": "82a133a8470171c74aff231e2e460d3a0b0d6c5e81bb5a9285371389f7d26c67",
-      "bytes": 33219,
-      "rows": 2,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8268",
     "goedel_workbook:lean_workbook_8269",
@@ -200,5 +177,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012196.lean\",\"c006b5b3fb724441d8e91425244ffc49f025185e061049a7c09302c74b374fd4\",0,\"lean_workbook_8341\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012197.lean\",\"d56a090eb3abd8a6e5fb4274c20f98d64f665027f99bdb322fe208f79b2d6e47\",0,\"lean_workbook_8351\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012198.lean\",\"5ea107009ed0e10441727f531437e55221769fe649d15a87c176efe10cbb516d\",0,\"lean_workbook_837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180028,
+      "path": "data/train/p70/goedel_workbook-000487-0000-cf09988653c10693.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "cf09988653c106933519592f814caa04f2347be5f015937a42a562033ae8ea70"
+    },
+    {
+      "bytes": 51941,
+      "path": "data/internal_test/p70/goedel_workbook-000487-0000-642ad2462f07bc5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "642ad2462f07bc5d9672097ec272a0eb67b7adc1ef25a04edcd6d675f18805ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000488.json b/manifests/batches/goedel_workbook/000488.json
index c88ec40dfdda77cb9175a1a7b3c904d76eb8da3c..9a11a2c5765d50d769dcd74ddd9fa14d8b32cc62 100644
--- a/manifests/batches/goedel_workbook/000488.json
+++ b/manifests/batches/goedel_workbook/000488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000488",
   "batch_fingerprint": "e054a9e2320605d257f88fec3437dbc9b1612e2d26889ed5a5bc9397ae6667a4",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000488-0000-1b000bc0cfb59328.parquet",
-      "sha256": "1b000bc0cfb59328f71206e9ea297e049cbe5e70eba12fdfa85f64ff0104da23",
-      "bytes": 157630,
-      "rows": 37,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000488-0000-a11f46217a6a73bd.parquet",
-      "sha256": "a11f46217a6a73bd898d5b34d37477c3a143297c84ca574cfd1919c480ea3db0",
-      "bytes": 37302,
-      "rows": 3,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000488-0000-ef2343c1586f5514.parquet",
-      "sha256": "ef2343c1586f55142242c246bf9192a62c72486f19532420792abe80258225d9",
-      "bytes": 29085,
-      "rows": 2,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8375",
     "goedel_workbook:lean_workbook_8377",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012220.lean\",\"8c9da630066d7796e36771c11882ead095a41ab7a471ff4e6aa0bde65746d476\",0,\"lean_workbook_8457\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012221.lean\",\"069894727147030a01c3e108eb3afa2de5bea8a2115ad96a32fea89bfd1eba05\",0,\"lean_workbook_846\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012222.lean\",\"76f4628dc611454fed8c06e416af88c7f78ffebb3fc775fc3bd6a893a2c7867d\",0,\"lean_workbook_847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157630,
+      "path": "data/train/pca/goedel_workbook-000488-0000-1b000bc0cfb59328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "1b000bc0cfb59328f71206e9ea297e049cbe5e70eba12fdfa85f64ff0104da23"
+    },
+    {
+      "bytes": 37302,
+      "path": "data/dev/pca/goedel_workbook-000488-0000-a11f46217a6a73bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a11f46217a6a73bd898d5b34d37477c3a143297c84ca574cfd1919c480ea3db0"
+    },
+    {
+      "bytes": 29085,
+      "path": "data/internal_test/pca/goedel_workbook-000488-0000-ef2343c1586f5514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ef2343c1586f55142242c246bf9192a62c72486f19532420792abe80258225d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000489.json b/manifests/batches/goedel_workbook/000489.json
index 39d6201d08ee6fb9e71a1306dfc8a98ba31ce350..8f760022efc0ccf6e77163a82d7b95464c3646da 100644
--- a/manifests/batches/goedel_workbook/000489.json
+++ b/manifests/batches/goedel_workbook/000489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000489",
   "batch_fingerprint": "fe1335b5ddcfe94456606621512e3377daef4a422678d8de8d31f57fa3c1076e",
   "evidence": {
@@ -290,22 +289,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000489-0000-08afdcadc92ec0a2.parquet",
-      "sha256": "08afdcadc92ec0a21e925fe6fa77143c8e2bf8e184111c57792cf65c9e4c4d54",
-      "bytes": 89140,
-      "rows": 13,
-      "revision": "525a1ed67a05885628941ec0f807bde501daaed4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000489-0000-76fd1d81a86d6592.parquet",
-      "sha256": "76fd1d81a86d65928de95b292361ee120bfddc16e5702f28cad2af422ba2e863",
-      "bytes": 33116,
-      "rows": 1,
-      "revision": "525a1ed67a05885628941ec0f807bde501daaed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8501",
     "goedel_workbook:lean_workbook_8504",
@@ -329,5 +313,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012243.lean\",\"7d652275d6eec07d4533095c742be5549a161579ca92e25125c0746ebd3ab1cb\",0,\"lean_workbook_8543\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012244.lean\",\"3d477ad78b1e8f7751f3031641230e9ec12a5d425816eb87ecfcc4d2be90fd3a\",0,\"lean_workbook_8550\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012245.lean\",\"799eab14f4a12eea5bcea7231e1dbc9c0908da7dd901ed1a21cf79acf0c7891f\",0,\"lean_workbook_8554\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89140,
+      "path": "data/train/pa4/goedel_workbook-000489-0000-08afdcadc92ec0a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "08afdcadc92ec0a21e925fe6fa77143c8e2bf8e184111c57792cf65c9e4c4d54"
+    },
+    {
+      "bytes": 33116,
+      "path": "data/internal_test/pa4/goedel_workbook-000489-0000-76fd1d81a86d6592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76fd1d81a86d65928de95b292361ee120bfddc16e5702f28cad2af422ba2e863"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000490.json b/manifests/batches/goedel_workbook/000490.json
index 02243f3a3c1332a38213162d20f97453a362c32c..3b894becb1f91042de32dc15c7bd9f917ae82c80 100644
--- a/manifests/batches/goedel_workbook/000490.json
+++ b/manifests/batches/goedel_workbook/000490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000490",
   "batch_fingerprint": "677e8eb9372f95457bdb6e6a49eafd3d27fd8b894074fcb808907c2d8009bce5",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000490-0000-fa0f1298a497e72d.parquet",
-      "sha256": "fa0f1298a497e72d1940e5cf59b5344b5dbab6c5c2678b02494f8537dbad89c5",
-      "bytes": 82997,
-      "rows": 23,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000490-0000-ce33c40c89b87bf6.parquet",
-      "sha256": "ce33c40c89b87bf6ce354f8f5ba75b4b6dc21d9d1f580a623850bd15ad61e65a",
-      "bytes": 26643,
-      "rows": 1,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000490-0000-cf2f79c86fbbaaa2.parquet",
-      "sha256": "cf2f79c86fbbaaa2f1a5bb2dc1499342ffbe389c46111510829369bf76b24946",
-      "bytes": 39364,
-      "rows": 2,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8598",
     "goedel_workbook:lean_workbook_8608",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012267.lean\",\"80c1d0718c34baf549b39eb2993fd35eb7adfc7bca726533b2d3b1f9116c1122\",0,\"lean_workbook_8685\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012268.lean\",\"eee02c8f753dbd368bfb1e95db944c6e204579ee1c199e2abd961d2a7f6ae73b\",0,\"lean_workbook_8686\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012271.lean\",\"75a1bb996d9210e72aed528ac22d8e3cd12763b539e0c259f4b81e9de82dfc2c\",0,\"lean_workbook_8693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82997,
+      "path": "data/train/pab/goedel_workbook-000490-0000-fa0f1298a497e72d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "fa0f1298a497e72d1940e5cf59b5344b5dbab6c5c2678b02494f8537dbad89c5"
+    },
+    {
+      "bytes": 26643,
+      "path": "data/dev/pab/goedel_workbook-000490-0000-ce33c40c89b87bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ce33c40c89b87bf6ce354f8f5ba75b4b6dc21d9d1f580a623850bd15ad61e65a"
+    },
+    {
+      "bytes": 39364,
+      "path": "data/internal_test/pab/goedel_workbook-000490-0000-cf2f79c86fbbaaa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cf2f79c86fbbaaa2f1a5bb2dc1499342ffbe389c46111510829369bf76b24946"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000491.json b/manifests/batches/goedel_workbook/000491.json
index 22dec1da2a1fb2959b93859c27f568128b8325b2..91665188c21a589a5c695b15c274971ed2b26e57 100644
--- a/manifests/batches/goedel_workbook/000491.json
+++ b/manifests/batches/goedel_workbook/000491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000491",
   "batch_fingerprint": "e14b07556b5cb0a452d61348803e3453f9912cad113bbfb2a923da7dda6ff3b7",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000491-0000-a9ac68df449692ea.parquet",
-      "sha256": "a9ac68df449692ea538fc96bda2f4f9440c9449bfa222eb702c575f3d872e37f",
-      "bytes": 230697,
-      "rows": 40,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000491-0000-32f67a734b310e5d.parquet",
-      "sha256": "32f67a734b310e5df0db84b8bc3e74701b2736947c97cfcaa3e3e26714ecf127",
-      "bytes": 59253,
-      "rows": 10,
-      "revision": "f7b76bdfe60fab54a96c8fc585982fd02d179b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8704",
     "goedel_workbook:lean_workbook_8707",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012293.lean\",\"c6c597c3c26367e4f9c55dbff65539d0d384d03c357d1a694aaa709ec0fbce67\",0,\"lean_workbook_8757\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012296.lean\",\"3c2184f421790d194b17e58d2c0bfd077dca1224057dd075c321733a15c988ec\",0,\"lean_workbook_8760\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012297.lean\",\"9fdd807d26a9ff52d74384bc44ea55f2a3deec653dd4fc21cbfc910e5ac11e79\",0,\"lean_workbook_8768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230697,
+      "path": "data/train/pf8/goedel_workbook-000491-0000-a9ac68df449692ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "a9ac68df449692ea538fc96bda2f4f9440c9449bfa222eb702c575f3d872e37f"
+    },
+    {
+      "bytes": 59253,
+      "path": "data/internal_test/pf8/goedel_workbook-000491-0000-32f67a734b310e5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "32f67a734b310e5df0db84b8bc3e74701b2736947c97cfcaa3e3e26714ecf127"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000492.json b/manifests/batches/goedel_workbook/000492.json
index e4f0327021c763663462046d352bf995c2881246..cd9d4231363805e204a7d9128176e7ad45e6f393 100644
--- a/manifests/batches/goedel_workbook/000492.json
+++ b/manifests/batches/goedel_workbook/000492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000492",
   "batch_fingerprint": "3adee721f13104f356571a800818c99167104a42ff7d7ff3ac406c0189a7febd",
   "evidence": {
@@ -118,29 +117,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000492-0000-15d1421f8b318c9a.parquet",
-      "sha256": "15d1421f8b318c9a76d05376d9177abbed7bf8e0a1121407729a48594378ab18",
-      "bytes": 186871,
-      "rows": 45,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000492-0000-886f32e92a1d38e4.parquet",
-      "sha256": "886f32e92a1d38e42d845f8ac2260a410aeed6f3190d5bcc48799b07e3a20912",
-      "bytes": 28123,
-      "rows": 2,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000492-0000-7cd2b55168a68dbb.parquet",
-      "sha256": "7cd2b55168a68dbb5fbbbfb4295d7f4a116c8e505273e6b4da723ec99d68b187",
-      "bytes": 34881,
-      "rows": 3,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8790",
     "goedel_workbook:lean_workbook_8793",
@@ -184,5 +161,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012320.lean\",\"20a75e9f8d372fc229adeb67b588ef559a35e419ceff461d65dc98ffcc6d435c\",0,\"lean_workbook_8874\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012323.lean\",\"68e9c0cee55c394d0d8d056cff381274de7f1db61283a0b81d157b6d6de782b4\",0,\"lean_workbook_8898\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012324.lean\",\"cf745a40185a5d37c50543147cfe5be1c14a4b431825f11db6f7e35fe7281b82\",0,\"lean_workbook_8900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186871,
+      "path": "data/train/p23/goedel_workbook-000492-0000-15d1421f8b318c9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "15d1421f8b318c9a76d05376d9177abbed7bf8e0a1121407729a48594378ab18"
+    },
+    {
+      "bytes": 28123,
+      "path": "data/dev/p23/goedel_workbook-000492-0000-886f32e92a1d38e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "886f32e92a1d38e42d845f8ac2260a410aeed6f3190d5bcc48799b07e3a20912"
+    },
+    {
+      "bytes": 34881,
+      "path": "data/internal_test/p23/goedel_workbook-000492-0000-7cd2b55168a68dbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7cd2b55168a68dbb5fbbbfb4295d7f4a116c8e505273e6b4da723ec99d68b187"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000493.json b/manifests/batches/goedel_workbook/000493.json
index 0a051b5d56c12d276cf37697d1ffda8015608194..b19463239e422d5bfa91b28c57f320c9207006a9 100644
--- a/manifests/batches/goedel_workbook/000493.json
+++ b/manifests/batches/goedel_workbook/000493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000493",
   "batch_fingerprint": "feca2fa7955b6fc8b4a330b9b6ca44e79ba4bbecd00b15f03fd46b3396a76dc4",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000493-0000-7cecbc0dce70acdf.parquet",
-      "sha256": "7cecbc0dce70acdf6df31d4758ca2f5b5b21eb056ad6f81ec9fae753ff71a6b7",
-      "bytes": 106982,
-      "rows": 32,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000493-0000-131dfdecbbe81b04.parquet",
-      "sha256": "131dfdecbbe81b04a343faebd185ff3856ec3c762e7d6b1642388aa22033463b",
-      "bytes": 73171,
-      "rows": 15,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_8914",
     "goedel_workbook:lean_workbook_8942",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012346.lean\",\"efa852dfab4d903d05d1ee7675c2268cf2136ae0a83ff30e72dfa00fb490d39d\",0,\"lean_workbook_8986\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012348.lean\",\"00a8c187614f8ae983adcc072fa9de4792b65d0cabca42de05aebafcf9da9060\",0,\"lean_workbook_8992\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012349.lean\",\"0b5822064a49f43ec7961e81591adbc9caf8d13d36bf43b1239d026c758441e7\",0,\"lean_workbook_8996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106982,
+      "path": "data/train/pdb/goedel_workbook-000493-0000-7cecbc0dce70acdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "7cecbc0dce70acdf6df31d4758ca2f5b5b21eb056ad6f81ec9fae753ff71a6b7"
+    },
+    {
+      "bytes": 73171,
+      "path": "data/internal_test/pdb/goedel_workbook-000493-0000-131dfdecbbe81b04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "131dfdecbbe81b04a343faebd185ff3856ec3c762e7d6b1642388aa22033463b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000494.json b/manifests/batches/goedel_workbook/000494.json
index f0d413e8056c7be00b1715c5e4e935df1db8baea..7501b54da07b4896ec66fd7a7db7e6d5f4aac287 100644
--- a/manifests/batches/goedel_workbook/000494.json
+++ b/manifests/batches/goedel_workbook/000494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000494",
   "batch_fingerprint": "c9e45bb501ef3af80960f2ea75140e000ad1314c6e3fb7b7312b1e6244f65d91",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000494-0000-8b0afc0a406814a8.parquet",
-      "sha256": "8b0afc0a406814a860cb4837bad94fe270c251f6dce2bcb3257658f49867e97e",
-      "bytes": 82396,
-      "rows": 15,
-      "revision": "96b82a86b0bf5dddf7b8195232e11c4412389f6b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000494-0000-503a385969d33a30.parquet",
-      "sha256": "503a385969d33a30b07fda6b32d58f51bb34d1ec6f75422812a61926d31ee262",
-      "bytes": 52057,
-      "rows": 6,
-      "revision": "96b82a86b0bf5dddf7b8195232e11c4412389f6b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000494-0000-3b4f3a993bcaa1fe.parquet",
-      "sha256": "3b4f3a993bcaa1febb07f798854f3a4fceb57b58a6128d88dcd31a78f3607fe3",
-      "bytes": 53207,
-      "rows": 4,
-      "revision": "96b82a86b0bf5dddf7b8195232e11c4412389f6b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9",
     "goedel_workbook:lean_workbook_900",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012366.lean\",\"ee08b7170503322b8491f830a1aece38def359e3b3789553fc57d2ef63711d81\",0,\"lean_workbook_906\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012368.lean\",\"96e786468d7b3b23d9792f4094af8e61caf80a5d568d7b4886bd706beb4bff54\",0,\"lean_workbook_9070\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012370.lean\",\"00004196dbed377128c67b7b198624d42665889ea1753f08f79c5f12f99f1efb\",0,\"lean_workbook_9076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82396,
+      "path": "data/train/p99/goedel_workbook-000494-0000-8b0afc0a406814a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8b0afc0a406814a860cb4837bad94fe270c251f6dce2bcb3257658f49867e97e"
+    },
+    {
+      "bytes": 52057,
+      "path": "data/dev/p99/goedel_workbook-000494-0000-503a385969d33a30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "503a385969d33a30b07fda6b32d58f51bb34d1ec6f75422812a61926d31ee262"
+    },
+    {
+      "bytes": 53207,
+      "path": "data/internal_test/p99/goedel_workbook-000494-0000-3b4f3a993bcaa1fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3b4f3a993bcaa1febb07f798854f3a4fceb57b58a6128d88dcd31a78f3607fe3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000495.json b/manifests/batches/goedel_workbook/000495.json
index 5b322c7d9a4b3f23211ee1ab9b190b362bdb4183..5765553933bf05e504cffa4c66a0623a7929f39b 100644
--- a/manifests/batches/goedel_workbook/000495.json
+++ b/manifests/batches/goedel_workbook/000495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000495",
   "batch_fingerprint": "4f3b0f356a89cbdf25e115f88f8388f8ec274765c24624089dfb6cc9225287d2",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000495-0000-bc740e513acdbe79.parquet",
-      "sha256": "bc740e513acdbe7907be2a815f8e72ee3c3b4f4762765b9efc7a06e3d9ce749e",
-      "bytes": 291133,
-      "rows": 63,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000495-0000-07786494bcaa952e.parquet",
-      "sha256": "07786494bcaa952e9bcb0f58c29737cdf733ae0958c2766126940baef12b447f",
-      "bytes": 25761,
-      "rows": 1,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9090",
     "goedel_workbook:lean_workbook_9092",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012395.lean\",\"5f022f17ac5d7234d696358f8250d05b3cafb7b367d8aa25d38dd8aaadd699b9\",0,\"lean_workbook_9200\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012396.lean\",\"0a8bdc506c678927c688c8f5141f64501d4204aa62e24529ee75b273db45bc9a\",0,\"lean_workbook_9202\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012397.lean\",\"da2d4b1b9040d64d35ec3c4f19908094201e135dbf51e3fd9889d73cc0ada11d\",0,\"lean_workbook_9208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291133,
+      "path": "data/train/pd7/goedel_workbook-000495-0000-bc740e513acdbe79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "bc740e513acdbe7907be2a815f8e72ee3c3b4f4762765b9efc7a06e3d9ce749e"
+    },
+    {
+      "bytes": 25761,
+      "path": "data/internal_test/pd7/goedel_workbook-000495-0000-07786494bcaa952e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "07786494bcaa952e9bcb0f58c29737cdf733ae0958c2766126940baef12b447f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000496.json b/manifests/batches/goedel_workbook/000496.json
index 9aed1fd696f151e3179048a60e81c2cb7a935b4c..0947eda48d90a1a75df2578438a28bab9d527845 100644
--- a/manifests/batches/goedel_workbook/000496.json
+++ b/manifests/batches/goedel_workbook/000496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000496",
   "batch_fingerprint": "70dc8929ca4cea573468b2f57aac8e52ebb93898be0fefd883abd8a76b89db9f",
   "evidence": {
@@ -227,22 +226,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000496-0000-c40bde9eeff35bc0.parquet",
-      "sha256": "c40bde9eeff35bc057b0c42f1531176bf34a3773f48e71451caff9e17201af1a",
-      "bytes": 88010,
-      "rows": 25,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000496-0000-3207a319fab069e2.parquet",
-      "sha256": "3207a319fab069e2431ba68d8daa8c9d73ebf16e127d5d9843f8fc00b095b07a",
-      "bytes": 56658,
-      "rows": 9,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9221",
     "goedel_workbook:lean_workbook_9236",
@@ -274,5 +258,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012422.lean\",\"4ef212f91df2ea3d4748f59cc5da92d9ae41676d7e9d0c3e71340d79ecf74fcb\",0,\"lean_workbook_9304\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012423.lean\",\"331f7fa7c2e709ce27c2a4f5d0752594f9f8875ccc1691dbb917d866cb21c2c0\",0,\"lean_workbook_9307\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012424.lean\",\"39b225b380712717f6cbca67a70db78df37ff9407f358087ec7ca9677e654d03\",0,\"lean_workbook_9308\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88010,
+      "path": "data/train/pd6/goedel_workbook-000496-0000-c40bde9eeff35bc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "c40bde9eeff35bc057b0c42f1531176bf34a3773f48e71451caff9e17201af1a"
+    },
+    {
+      "bytes": 56658,
+      "path": "data/internal_test/pd6/goedel_workbook-000496-0000-3207a319fab069e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3207a319fab069e2431ba68d8daa8c9d73ebf16e127d5d9843f8fc00b095b07a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000497.json b/manifests/batches/goedel_workbook/000497.json
index eb742b188b4eb9aa2ac0ea385b9edc76b489b48a..88c53fd31be040ed2be267e2f768e9b4b2dc5051 100644
--- a/manifests/batches/goedel_workbook/000497.json
+++ b/manifests/batches/goedel_workbook/000497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000497",
   "batch_fingerprint": "449ed8a7cdac192cb4eb6a0e5916f3bebab187e5e062bc77e011c4a073696ba1",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000497-0000-d140b67b1ca62563.parquet",
-      "sha256": "d140b67b1ca62563169a171543987e9315da8f129a9037b4addc9e8b6d824b95",
-      "bytes": 197469,
-      "rows": 44,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000497-0000-bc3776bec62b526e.parquet",
-      "sha256": "bc3776bec62b526ef3952f8a887515eb600a81412d60b7c9eb95c0e3668efd38",
-      "bytes": 35671,
-      "rows": 2,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9311",
     "goedel_workbook:lean_workbook_9318",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012446.lean\",\"3cb2bbcadaa9bb5b57565673e76a6c5c8297d4fb6e8f37862a81073856e983f5\",0,\"lean_workbook_9422\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012447.lean\",\"b08f685bc542d81419af5360efef4eee106194d67822bb34cedee71f61b1ac9a\",0,\"lean_workbook_9423\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012449.lean\",\"2c7b9522ef219e1fcfb08c2a08a8b527b0421df389466448222362cf3f8aeef9\",0,\"lean_workbook_9426\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197469,
+      "path": "data/train/pc1/goedel_workbook-000497-0000-d140b67b1ca62563.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "d140b67b1ca62563169a171543987e9315da8f129a9037b4addc9e8b6d824b95"
+    },
+    {
+      "bytes": 35671,
+      "path": "data/internal_test/pc1/goedel_workbook-000497-0000-bc3776bec62b526e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bc3776bec62b526ef3952f8a887515eb600a81412d60b7c9eb95c0e3668efd38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000498.json b/manifests/batches/goedel_workbook/000498.json
index c7194101c8d8dbc8a06d94e54387ee33ba7a2539..6c892e2ff70b4448fa2a29c20354c34592c78ac1 100644
--- a/manifests/batches/goedel_workbook/000498.json
+++ b/manifests/batches/goedel_workbook/000498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000498",
   "batch_fingerprint": "640ccec19cb3013834daeaef69d54eab2ac22eb8b3508c9f79ec04c64da68976",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000498-0000-7a2bf4f1e6a6505d.parquet",
-      "sha256": "7a2bf4f1e6a6505da01007e33dedd5802ffc2371c3ed53da006b39a57c9b4720",
-      "bytes": 173092,
-      "rows": 43,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000498-0000-9bc372c96468db7a.parquet",
-      "sha256": "9bc372c96468db7af1ea44453418e32629ec37a1288cd230143ed75bb4cf540c",
-      "bytes": 33915,
-      "rows": 2,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9428",
     "goedel_workbook:lean_workbook_943",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012470.lean\",\"8094ade82b2dfb08b72196c6ee7b5e3d7712fed47e22fb0289bf7df3901c4ce6\",0,\"lean_workbook_9523\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012471.lean\",\"6a2876036aef36c38d4c6725510190d51f1d4e6b7e40f29fff1944c0fd62cd27\",0,\"lean_workbook_9529\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012472.lean\",\"1e416f0233fd5eb222e1e906eb8f66a56de7d9f91ca4cde4b1328800da001da5\",0,\"lean_workbook_953\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173092,
+      "path": "data/train/p67/goedel_workbook-000498-0000-7a2bf4f1e6a6505d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7a2bf4f1e6a6505da01007e33dedd5802ffc2371c3ed53da006b39a57c9b4720"
+    },
+    {
+      "bytes": 33915,
+      "path": "data/dev/p67/goedel_workbook-000498-0000-9bc372c96468db7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9bc372c96468db7af1ea44453418e32629ec37a1288cd230143ed75bb4cf540c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000499.json b/manifests/batches/goedel_workbook/000499.json
index 2bd830861911f59134860f69bdd461dbdd580b18..d5dee33e1e8f93ac80ecbcd47a8590b7fdd22a60 100644
--- a/manifests/batches/goedel_workbook/000499.json
+++ b/manifests/batches/goedel_workbook/000499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000499",
   "batch_fingerprint": "dac7ee4fe066cef9a12e44c05d4b420640d89903774af819ca969c0aa8e431b5",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000499-0000-2396962e4a5d8d86.parquet",
-      "sha256": "2396962e4a5d8d863c48cf5acbd5cc01bc007db38a7b146da55b73c9cabfd4af",
-      "bytes": 80205,
-      "rows": 27,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000499-0000-5b66477d3021b5f1.parquet",
-      "sha256": "5b66477d3021b5f1b0327f0d6a82f302221c2718bb9ca15de8776114e4edf2d1",
-      "bytes": 37244,
-      "rows": 2,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000499-0000-8b411a93d8dd81c7.parquet",
-      "sha256": "8b411a93d8dd81c72841ec2097eee449c2a8ea352cc2bac734ad7e9f07dae39c",
-      "bytes": 36108,
-      "rows": 2,
-      "revision": "a46948d982516f31d79aabdd44bf3dba7392bb62"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_954",
     "goedel_workbook:lean_workbook_9550",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012495.lean\",\"619eeb67f539ad5fa15af65aa8fa26706c330ec47b9819085e5fbe88106af7b1\",0,\"lean_workbook_9642\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012496.lean\",\"b9deb07eedd67828d7cf50c845f2eb957aff569183d69fb03368f74f19a5378c\",0,\"lean_workbook_9643\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012497.lean\",\"76408ee37b105a7a707f365c4925d66e2d885db9fc394b74c0b9f6f820ceb195\",0,\"lean_workbook_9647\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80205,
+      "path": "data/train/p83/goedel_workbook-000499-0000-2396962e4a5d8d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2396962e4a5d8d863c48cf5acbd5cc01bc007db38a7b146da55b73c9cabfd4af"
+    },
+    {
+      "bytes": 37244,
+      "path": "data/dev/p83/goedel_workbook-000499-0000-5b66477d3021b5f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5b66477d3021b5f1b0327f0d6a82f302221c2718bb9ca15de8776114e4edf2d1"
+    },
+    {
+      "bytes": 36108,
+      "path": "data/internal_test/p83/goedel_workbook-000499-0000-8b411a93d8dd81c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8b411a93d8dd81c72841ec2097eee449c2a8ea352cc2bac734ad7e9f07dae39c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000500.json b/manifests/batches/goedel_workbook/000500.json
index fbba6187a515a164f87a885f6c9ce6e9fedce2d5..3e6add19dbc56d55f35063de4a27e115cd337bea 100644
--- a/manifests/batches/goedel_workbook/000500.json
+++ b/manifests/batches/goedel_workbook/000500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000500",
   "batch_fingerprint": "e2391b4404f507b306588c01363499aeaeba27b2b85c0a66c241753daca7038b",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000500-0000-a25bd4b030dd2856.parquet",
-      "sha256": "a25bd4b030dd28565e6e0167532c376ce2ec9aeaf36a471064046619e916cccb",
-      "bytes": 208632,
-      "rows": 34,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000500-0000-19d6013dd2732eb1.parquet",
-      "sha256": "19d6013dd2732eb1d8a4b07fd36a0d9a846616ea01d7ede0e625a4f2f4c6655d",
-      "bytes": 155379,
-      "rows": 5,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000500-0000-8b076863be563979.parquet",
-      "sha256": "8b076863be5639791c48ede4469e9162c62007592e08dcbc4807b772e1a2b63c",
-      "bytes": 62604,
-      "rows": 10,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9658",
     "goedel_workbook:lean_workbook_9661",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012522.lean\",\"b0cf9076eb02022b53937d7989ce84003b3cd1e016886c7e48a6e070acabcd29\",0,\"lean_workbook_9739\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012523.lean\",\"3f0e9e120922da83fbb8ef694033a4197b2937ab1031bce44d6e0385d3d0eb82\",0,\"lean_workbook_9740\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012524.lean\",\"322e4c6f293c470d6e197b0d6a0d0f90417f0e3196755244197ae77d43fcb398\",0,\"lean_workbook_9741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208632,
+      "path": "data/train/p75/goedel_workbook-000500-0000-a25bd4b030dd2856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "a25bd4b030dd28565e6e0167532c376ce2ec9aeaf36a471064046619e916cccb"
+    },
+    {
+      "bytes": 155379,
+      "path": "data/dev/p75/goedel_workbook-000500-0000-19d6013dd2732eb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "19d6013dd2732eb1d8a4b07fd36a0d9a846616ea01d7ede0e625a4f2f4c6655d"
+    },
+    {
+      "bytes": 62604,
+      "path": "data/internal_test/p75/goedel_workbook-000500-0000-8b076863be563979.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8b076863be5639791c48ede4469e9162c62007592e08dcbc4807b772e1a2b63c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000501.json b/manifests/batches/goedel_workbook/000501.json
index 5bea04a04e26a5147a215af02a7e78cccff80f7a..554e24c6cf89ad9e69b9feabf193b8c2c6746680 100644
--- a/manifests/batches/goedel_workbook/000501.json
+++ b/manifests/batches/goedel_workbook/000501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000501",
   "batch_fingerprint": "221b5b4fe9d5d4c1f83343895559c30598a3284a0c2ec8b31767f3c6212c8ee3",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000501-0000-4c45484093ef30e1.parquet",
-      "sha256": "4c45484093ef30e18fb9ca7743bd0a6195ea45f774f92d63f0f2700b5968969b",
-      "bytes": 171227,
-      "rows": 46,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9745",
     "goedel_workbook:lean_workbook_9752",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012545.lean\",\"4694c7c8dff5e0bb4a85fe398a368ef2da6287b741f5b3fc909a29cff959d51a\",0,\"lean_workbook_9828\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012546.lean\",\"68f7b4f1250f0be9801eba446022e0816221db0df22d5af191dbbe559ac0ad65\",0,\"lean_workbook_9830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012549.lean\",\"8967c4fc74a43479790b2a8d63e394b9e16316109aad8aa9380320066bf25885\",0,\"lean_workbook_9843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171227,
+      "path": "data/train/p7a/goedel_workbook-000501-0000-4c45484093ef30e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "4c45484093ef30e18fb9ca7743bd0a6195ea45f774f92d63f0f2700b5968969b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000502.json b/manifests/batches/goedel_workbook/000502.json
index 6007646c34359e06ca34174b013d0ae5342f7924..6f7b42cca320240ddf8040e17d13119c83ac5cb6 100644
--- a/manifests/batches/goedel_workbook/000502.json
+++ b/manifests/batches/goedel_workbook/000502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000502",
   "batch_fingerprint": "bd62279c945522903449e589296269a9105b523354b315223e0a89b9a557dddf",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000502-0000-902fb8b534f7adb9.parquet",
-      "sha256": "902fb8b534f7adb96af8447095cba003c25a4c047d536e74da319271a20f90d8",
-      "bytes": 150879,
-      "rows": 34,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000502-0000-35f0159dc8b6b9ed.parquet",
-      "sha256": "35f0159dc8b6b9ed1aae3d11d76622b029b917a0e22a7cbbe8e1e388501dd89c",
-      "bytes": 49870,
-      "rows": 7,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9845",
     "goedel_workbook:lean_workbook_9853",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012570.lean\",\"d6ccfc41ce905cfbc49a41b8ef8e7d17fe19ca545f5d14822ec0fa9d9036e279\",0,\"lean_workbook_9914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012571.lean\",\"b2cfdc482fdca7f35a4c107425cd5ace7bf0e21631d6e6f925effe46b722ecb7\",0,\"lean_workbook_9919\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012572.lean\",\"0f834545293e8c782173ff34664b636c4611464f85cfc1ee5fa45015f4b2566e\",0,\"lean_workbook_9922\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150879,
+      "path": "data/train/p9c/goedel_workbook-000502-0000-902fb8b534f7adb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "902fb8b534f7adb96af8447095cba003c25a4c047d536e74da319271a20f90d8"
+    },
+    {
+      "bytes": 49870,
+      "path": "data/internal_test/p9c/goedel_workbook-000502-0000-35f0159dc8b6b9ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "35f0159dc8b6b9ed1aae3d11d76622b029b917a0e22a7cbbe8e1e388501dd89c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000503.json b/manifests/batches/goedel_workbook/000503.json
index b7749f05f345d2a33d2751fa782f705439636177..a5dea1b657c837b369e16de109f79e2a00b122d5 100644
--- a/manifests/batches/goedel_workbook/000503.json
+++ b/manifests/batches/goedel_workbook/000503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000503",
   "batch_fingerprint": "536bf1dac5307c83b1dfb6bcf85a1855dc9b306d42d0578ee71f28b07121a9e7",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000503-0000-fe394cf1a1fa73c2.parquet",
-      "sha256": "fe394cf1a1fa73c2c890fbb90a5e54bcdcb4550f3e8921cb169dc72d9b2ed7a6",
-      "bytes": 109581,
-      "rows": 28,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000503-0000-86dc016e67f52422.parquet",
-      "sha256": "86dc016e67f5242257d657f8450eb350e3d41d7746628c6ed1b9b7c784a66d50",
-      "bytes": 32741,
-      "rows": 2,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000503-0000-cd9b0fdca320189a.parquet",
-      "sha256": "cd9b0fdca320189a52483e26304f4b6274befe383f7068f8ce846eddb838081f",
-      "bytes": 34376,
-      "rows": 2,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_9935",
     "goedel_workbook:lean_workbook_9939",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012593.lean\",\"80b776f7c6c0fe10998589b4c681896aa8b03a1efd8ca78335cc58aeea3357de\",0,\"lean_workbook_plus_10015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012596.lean\",\"0b4a5945b7a9db12030a599b1c346774c7c73cb7f2e14f6dae9cc871ba2e0856\",0,\"lean_workbook_plus_10023\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012597.lean\",\"d6bd072a45f15b11f8d7210068c66e7b5d324cf5ccee2c9caf41bb87d5c2e82a\",0,\"lean_workbook_plus_10029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109581,
+      "path": "data/train/p20/goedel_workbook-000503-0000-fe394cf1a1fa73c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "fe394cf1a1fa73c2c890fbb90a5e54bcdcb4550f3e8921cb169dc72d9b2ed7a6"
+    },
+    {
+      "bytes": 32741,
+      "path": "data/dev/p20/goedel_workbook-000503-0000-86dc016e67f52422.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "86dc016e67f5242257d657f8450eb350e3d41d7746628c6ed1b9b7c784a66d50"
+    },
+    {
+      "bytes": 34376,
+      "path": "data/internal_test/p20/goedel_workbook-000503-0000-cd9b0fdca320189a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd9b0fdca320189a52483e26304f4b6274befe383f7068f8ce846eddb838081f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000504.json b/manifests/batches/goedel_workbook/000504.json
index 04ecc6bbed224cb0ad4f0df22b4aa7d931a44812..32e9168b14665f690d5aaa4f49efa44d27485bbb 100644
--- a/manifests/batches/goedel_workbook/000504.json
+++ b/manifests/batches/goedel_workbook/000504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000504",
   "batch_fingerprint": "0cdeb97a95f82b5b2dccec88782764a673812a4d6d8decd1c48e11ae55ccb892",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000504-0000-cf693d25c5271ee9.parquet",
-      "sha256": "cf693d25c5271ee96fcb9e707dbca905d847f9e6b40927ba46495ef73f11ca2a",
-      "bytes": 169942,
-      "rows": 43,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000504-0000-a977fc4d95547103.parquet",
-      "sha256": "a977fc4d9554710352666d56cf58235303f635b2b0fd7c11275e8a70178ac24d",
-      "bytes": 37087,
-      "rows": 2,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000504-0000-19e87989b133ed38.parquet",
-      "sha256": "19e87989b133ed380e46395e6003590caa9c7e56faba5482b0ab140935baac8a",
-      "bytes": 38480,
-      "rows": 5,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10056",
     "goedel_workbook:lean_workbook_plus_10058",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012622.lean\",\"a2eed3e134ebb538d03b42f909139c246fa64a9eb7981ee7f0d388d8cb621996\",0,\"lean_workbook_plus_10158\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012623.lean\",\"4f9ac001bee1e850e351622640f92c13de19a3388e25ba1b17a0a09add8e4a01\",0,\"lean_workbook_plus_1016\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012624.lean\",\"e7057a203ab7aeeb3cde93e30085b7313d591f589726da5174b139b438bbdd58\",0,\"lean_workbook_plus_10162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169942,
+      "path": "data/train/p7b/goedel_workbook-000504-0000-cf693d25c5271ee9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "cf693d25c5271ee96fcb9e707dbca905d847f9e6b40927ba46495ef73f11ca2a"
+    },
+    {
+      "bytes": 37087,
+      "path": "data/dev/p7b/goedel_workbook-000504-0000-a977fc4d95547103.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a977fc4d9554710352666d56cf58235303f635b2b0fd7c11275e8a70178ac24d"
+    },
+    {
+      "bytes": 38480,
+      "path": "data/internal_test/p7b/goedel_workbook-000504-0000-19e87989b133ed38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "19e87989b133ed380e46395e6003590caa9c7e56faba5482b0ab140935baac8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000505.json b/manifests/batches/goedel_workbook/000505.json
index b6b23ea6d1aecd9f7672db02d8ace81ea45fd8a7..1b87e803e16de2fbbdc297eaf96a95489d58ceb3 100644
--- a/manifests/batches/goedel_workbook/000505.json
+++ b/manifests/batches/goedel_workbook/000505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000505",
   "batch_fingerprint": "3407628dd619d1ca861630fb32272e883fb91c0701a7dedc9ff11d8ed3236b99",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000505-0000-d801f2cac8aa5f3c.parquet",
-      "sha256": "d801f2cac8aa5f3cf90aa663655a4c5309af6e386ab269bc73f6874451a45adb",
-      "bytes": 168254,
-      "rows": 37,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000505-0000-a4913dfdfd86398a.parquet",
-      "sha256": "a4913dfdfd86398a9daab7f348e8a6af082d811f1bb1223ba700d855b5c3ba48",
-      "bytes": 31814,
-      "rows": 3,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000505-0000-229d8e40837e5c4a.parquet",
-      "sha256": "229d8e40837e5c4a508ecd9aaba183c9124fcb61b425607337dee299250d21ca",
-      "bytes": 36476,
-      "rows": 1,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10165",
     "goedel_workbook:lean_workbook_plus_1017",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012645.lean\",\"d8caafe785c03377940244e07682f91230108f143baaae4e4ee64556b8dd9588\",0,\"lean_workbook_plus_10244\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012646.lean\",\"791830da5d62d2ebd91583c3b2f914a08d49b23efd64905f4e68e754354f6380\",0,\"lean_workbook_plus_10247\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012649.lean\",\"da524cadfe40aba355b713f3859185e451bc5d5e0705a27807526a6b753a2158\",0,\"lean_workbook_plus_10262\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168254,
+      "path": "data/train/p65/goedel_workbook-000505-0000-d801f2cac8aa5f3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d801f2cac8aa5f3cf90aa663655a4c5309af6e386ab269bc73f6874451a45adb"
+    },
+    {
+      "bytes": 31814,
+      "path": "data/dev/p65/goedel_workbook-000505-0000-a4913dfdfd86398a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a4913dfdfd86398a9daab7f348e8a6af082d811f1bb1223ba700d855b5c3ba48"
+    },
+    {
+      "bytes": 36476,
+      "path": "data/internal_test/p65/goedel_workbook-000505-0000-229d8e40837e5c4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "229d8e40837e5c4a508ecd9aaba183c9124fcb61b425607337dee299250d21ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000506.json b/manifests/batches/goedel_workbook/000506.json
index cc54cb482d0b25d74c8415e3b57eb35d134d5b20..67a26a1fa5050b4c84f767c5d1a0b3da1028640a 100644
--- a/manifests/batches/goedel_workbook/000506.json
+++ b/manifests/batches/goedel_workbook/000506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000506",
   "batch_fingerprint": "c50a9f4b0dab0be24fd56241567a546fe06e947e8380dddb53a0c25982dbda39",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000506-0000-61b1446dd66014b9.parquet",
-      "sha256": "61b1446dd66014b98777a8f8606125e526399321f2da070dcbb279679490d349",
-      "bytes": 87297,
-      "rows": 30,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000506-0000-49715107fd726095.parquet",
-      "sha256": "49715107fd7260959331b4a70870abe38632fea79ca18f301fd18121e18956ff",
-      "bytes": 52395,
-      "rows": 2,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000506-0000-4c9fd5b1c74c406a.parquet",
-      "sha256": "4c9fd5b1c74c406aede1661fe049303abb7129e59320bde7f0a388c78773d591",
-      "bytes": 35242,
-      "rows": 4,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10287",
     "goedel_workbook:lean_workbook_plus_10293",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012672.lean\",\"f368bfc63f9aa2148800463ce07d01825cbb895c21a66e0bf6950ef97ad518da\",0,\"lean_workbook_plus_10395\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012673.lean\",\"feaeee497ee5d8637ef9dd59b5d9527ec498659dbbebc36c120f6b2b17f57eda\",0,\"lean_workbook_plus_10404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012674.lean\",\"2aa456dd9714ecc708261f09f2a5b25861d6f4846b2a177c52299e9d49ec3a66\",0,\"lean_workbook_plus_10412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87297,
+      "path": "data/train/p06/goedel_workbook-000506-0000-61b1446dd66014b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "61b1446dd66014b98777a8f8606125e526399321f2da070dcbb279679490d349"
+    },
+    {
+      "bytes": 52395,
+      "path": "data/dev/p06/goedel_workbook-000506-0000-49715107fd726095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "49715107fd7260959331b4a70870abe38632fea79ca18f301fd18121e18956ff"
+    },
+    {
+      "bytes": 35242,
+      "path": "data/internal_test/p06/goedel_workbook-000506-0000-4c9fd5b1c74c406a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4c9fd5b1c74c406aede1661fe049303abb7129e59320bde7f0a388c78773d591"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000507.json b/manifests/batches/goedel_workbook/000507.json
index 66b30fe6b27efa31705b74fbbea0bb1c3c3c3e73..02cb778ece7b1b0e8d090457a9a9aa4ddad26291 100644
--- a/manifests/batches/goedel_workbook/000507.json
+++ b/manifests/batches/goedel_workbook/000507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000507",
   "batch_fingerprint": "079de6aca0e6805dcc0374807bf188428fe231cf147030b8cbe4b894c3841e59",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000507-0000-e6fa42e05cca00ac.parquet",
-      "sha256": "e6fa42e05cca00ac58c7b8f513f50294c7f193cbefe8060bc17f9934ba0d2533",
-      "bytes": 188280,
-      "rows": 42,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000507-0000-465ecdd2aba02297.parquet",
-      "sha256": "465ecdd2aba022973b1a43824c9435224cf11658a90be491129d96fe0e2bd96c",
-      "bytes": 28199,
-      "rows": 1,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000507-0000-72bc7f38c3884c0f.parquet",
-      "sha256": "72bc7f38c3884c0ff2b7820f34f0d2effac7fa5904b56b9f77c09b52a729b13f",
-      "bytes": 46879,
-      "rows": 4,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10419",
     "goedel_workbook:lean_workbook_plus_10423",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012696.lean\",\"1760a660c53e9f2f2164250acb6c6cb50b85508caf207cb23a1a6151fc2e4455\",0,\"lean_workbook_plus_10493\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012697.lean\",\"bfda4581a156419c8da32f9db0d0a696e2710d77787f298e63a62a7c18baaa7f\",0,\"lean_workbook_plus_10495\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012699.lean\",\"2653a84f90aa28ae41818a8d7b01d36f6fe1d310bf5b3d28f3538c6c017fb942\",0,\"lean_workbook_plus_10520\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188280,
+      "path": "data/train/pc2/goedel_workbook-000507-0000-e6fa42e05cca00ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "e6fa42e05cca00ac58c7b8f513f50294c7f193cbefe8060bc17f9934ba0d2533"
+    },
+    {
+      "bytes": 28199,
+      "path": "data/dev/pc2/goedel_workbook-000507-0000-465ecdd2aba02297.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "465ecdd2aba022973b1a43824c9435224cf11658a90be491129d96fe0e2bd96c"
+    },
+    {
+      "bytes": 46879,
+      "path": "data/internal_test/pc2/goedel_workbook-000507-0000-72bc7f38c3884c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "72bc7f38c3884c0ff2b7820f34f0d2effac7fa5904b56b9f77c09b52a729b13f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000508.json b/manifests/batches/goedel_workbook/000508.json
index fdc81b18556df10b9fa73073a076d9548349ae90..5c6aabae09744dc3481df5278605c740072318e9 100644
--- a/manifests/batches/goedel_workbook/000508.json
+++ b/manifests/batches/goedel_workbook/000508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000508",
   "batch_fingerprint": "dd481dba73f81435b0497671a9d7f3e38be99c8e452ba5b0dab324c1b27cfd0a",
   "evidence": {
@@ -289,29 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000508-0000-1570b3880f3b66f3.parquet",
-      "sha256": "1570b3880f3b66f39aec52c68af61cb044e74a2827d1c970cbb872f7907cb84c",
-      "bytes": 67655,
-      "rows": 16,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000508-0000-380e1c311b5ac404.parquet",
-      "sha256": "380e1c311b5ac404beb41d639ddf1a6d3b8f1b93a1be0de61c8690cd2ad29583",
-      "bytes": 41176,
-      "rows": 1,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000508-0000-30c19ff7dfc0a1fc.parquet",
-      "sha256": "30c19ff7dfc0a1fc414fdb58e35cafb12584203f6adda4ae931a849bfc652718",
-      "bytes": 43903,
-      "rows": 8,
-      "revision": "2cedf56cd30e9f4f1a8cb60eefb1aecd46c13689"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10522",
     "goedel_workbook:lean_workbook_plus_10524",
@@ -335,5 +312,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012715.lean\",\"5550d5fec2a7a8bdc2dfba823b91034281fdd1a43694b98736363175f6173903\",0,\"lean_workbook_plus_10580\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012722.lean\",\"5ed12029d5978a4cee7c61853820f70d16386b2ebbf0925b8d50189a842728c0\",0,\"lean_workbook_plus_106\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012724.lean\",\"dc5e68ba7cc78f500a75939fbb0848c55898445fcafe2849caaaa31502e93597\",0,\"lean_workbook_plus_1061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67655,
+      "path": "data/train/pea/goedel_workbook-000508-0000-1570b3880f3b66f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "1570b3880f3b66f39aec52c68af61cb044e74a2827d1c970cbb872f7907cb84c"
+    },
+    {
+      "bytes": 41176,
+      "path": "data/dev/pea/goedel_workbook-000508-0000-380e1c311b5ac404.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "380e1c311b5ac404beb41d639ddf1a6d3b8f1b93a1be0de61c8690cd2ad29583"
+    },
+    {
+      "bytes": 43903,
+      "path": "data/internal_test/pea/goedel_workbook-000508-0000-30c19ff7dfc0a1fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "30c19ff7dfc0a1fc414fdb58e35cafb12584203f6adda4ae931a849bfc652718"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000509.json b/manifests/batches/goedel_workbook/000509.json
index 2523e15a0835bb7205879b7a5507692194347ecb..d1486fba2cc0e165553868285c61b97f1997452a 100644
--- a/manifests/batches/goedel_workbook/000509.json
+++ b/manifests/batches/goedel_workbook/000509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000509",
   "batch_fingerprint": "e072713dd01ae4553bebbe8015c1401eff2ebe1dc6c141039a22f7baf6a636d9",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000509-0000-f1673b5cd308b426.parquet",
-      "sha256": "f1673b5cd308b4261f495baed6111feb06b8277eb42cd2bcfae9f010fe276340",
-      "bytes": 237525,
-      "rows": 56,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000509-0000-b2c9246d93562cf4.parquet",
-      "sha256": "b2c9246d93562cf4ec50ca52c3fc1fe72eeff4d883eef88d56ae80ef9cc006fb",
-      "bytes": 29054,
-      "rows": 1,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10614",
     "goedel_workbook:lean_workbook_plus_10616",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012745.lean\",\"e0c7d9b277c2d4b6afcdcf39173c839ab7b9409f3694a18b6947927e0de861e2\",0,\"lean_workbook_plus_10726\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012747.lean\",\"be7633f34d7486739a2b8d7fb5e0e54d2ef4cdf4451eb7adea17b8d605d6cf30\",0,\"lean_workbook_plus_10734\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012748.lean\",\"3cd39f80dce7c4e0ab0555643f090fcbf42bd933f17bc5aec97897a55096c8ce\",0,\"lean_workbook_plus_10735\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237525,
+      "path": "data/train/p31/goedel_workbook-000509-0000-f1673b5cd308b426.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "f1673b5cd308b4261f495baed6111feb06b8277eb42cd2bcfae9f010fe276340"
+    },
+    {
+      "bytes": 29054,
+      "path": "data/internal_test/p31/goedel_workbook-000509-0000-b2c9246d93562cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b2c9246d93562cf4ec50ca52c3fc1fe72eeff4d883eef88d56ae80ef9cc006fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000510.json b/manifests/batches/goedel_workbook/000510.json
index 8d27e342ed79cece58b2126418ab2f52c75d35ac..6e606efb22b5dd360470387cb43655adae3359b9 100644
--- a/manifests/batches/goedel_workbook/000510.json
+++ b/manifests/batches/goedel_workbook/000510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000510",
   "batch_fingerprint": "d5fb9f0ac36efc4364e2d4a4ff3b939d17800ca6daf188a5a376ba9a54f3cb7b",
   "evidence": {
@@ -109,15 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000510-0000-bed644a5769c5a62.parquet",
-      "sha256": "bed644a5769c5a62caee0586c1347de009fdfec982deed301e41cfbcdcfec304",
-      "bytes": 387612,
-      "rows": 62,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10742",
     "goedel_workbook:lean_workbook_plus_10745",
@@ -161,5 +152,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012770.lean\",\"7d5183fa987fb373378f3aeaa1e4644b894dde4d3de9c76f6917b794e7fee9ca\",0,\"lean_workbook_plus_1080\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012773.lean\",\"dd7231aa63834a50c8570cc6b22eb74b8e8c6b9330da0b8df46a2781bec89358\",0,\"lean_workbook_plus_10818\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012774.lean\",\"c97f14ae8a4167bceda63d237198066d7f944de55a9d3f05740d3b1072c526d9\",0,\"lean_workbook_plus_10822\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387612,
+      "path": "data/train/pb0/goedel_workbook-000510-0000-bed644a5769c5a62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "bed644a5769c5a62caee0586c1347de009fdfec982deed301e41cfbcdcfec304"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000511.json b/manifests/batches/goedel_workbook/000511.json
index de0701a3f6271bbf5068ea1a67da73a0941f31e6..fbcd9c728739624ecec3c0c4528a411fb5e32916 100644
--- a/manifests/batches/goedel_workbook/000511.json
+++ b/manifests/batches/goedel_workbook/000511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000511",
   "batch_fingerprint": "998de5c2ba854ec82cd319c70e50505acafec647772810f637341fa6161bb466",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000511-0000-6cec602641fcd2a7.parquet",
-      "sha256": "6cec602641fcd2a7b6649fb6cbd276d49a3674c0f4fd9be7ffac477b18cd315e",
-      "bytes": 190066,
-      "rows": 45,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000511-0000-0555b6e9a549f8c2.parquet",
-      "sha256": "0555b6e9a549f8c27277ef2f284027dd9a9de53161b56d5623059511beb6e407",
-      "bytes": 32243,
-      "rows": 2,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1083",
     "goedel_workbook:lean_workbook_plus_10848",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012796.lean\",\"54324973e2556a8f01eefb4afb7ee00fa5b0e824604dd6fac58b067520f16cf1\",0,\"lean_workbook_plus_10968\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012798.lean\",\"a5e0ffa110360ad308fd552defc8ff44f23ac5bc2dc42bfb37389b7a08e803b1\",0,\"lean_workbook_plus_10976\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012799.lean\",\"0721dee1fb500f1909ed3f16520368796c68baa9588ee6c5743e51aefaa4f005\",0,\"lean_workbook_plus_10981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190066,
+      "path": "data/train/pd7/goedel_workbook-000511-0000-6cec602641fcd2a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "6cec602641fcd2a7b6649fb6cbd276d49a3674c0f4fd9be7ffac477b18cd315e"
+    },
+    {
+      "bytes": 32243,
+      "path": "data/dev/pd7/goedel_workbook-000511-0000-0555b6e9a549f8c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0555b6e9a549f8c27277ef2f284027dd9a9de53161b56d5623059511beb6e407"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000512.json b/manifests/batches/goedel_workbook/000512.json
index 0973542dd625c48b79567cc9b4c7b7882977424c..77d62ba1c33567e6ec3eb602e8e7c10e9e346561 100644
--- a/manifests/batches/goedel_workbook/000512.json
+++ b/manifests/batches/goedel_workbook/000512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000512",
   "batch_fingerprint": "5fd7533bd6f6c3f3198591ae7b8fc9d4fa6a7f6aaba3f8bd4e2f315c0de8a9b4",
   "evidence": {
@@ -307,22 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000512-0000-a868382237e58663.parquet",
-      "sha256": "a868382237e5866317a73e1d737119a099a5b2b43e29f5038586c26c3653185a",
-      "bytes": 138201,
-      "rows": 30,
-      "revision": "a457a16cbe7b8e4dd7dbbdc2fe89957c09d51cac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000512-0000-3d85a746f23f7c52.parquet",
-      "sha256": "3d85a746f23f7c523f5fb54d3018022baa7dd089934cae9df90a746f483044b3",
-      "bytes": 38449,
-      "rows": 2,
-      "revision": "a457a16cbe7b8e4dd7dbbdc2fe89957c09d51cac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_10986",
     "goedel_workbook:lean_workbook_plus_10988",
@@ -344,5 +328,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012813.lean\",\"d7ec9b7d678a99f78bdd4940445574d485268ac69a323c099e675af9acc157ee\",0,\"lean_workbook_plus_11035\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012819.lean\",\"eee606132d0fd73fa437e496134770e8cd2ee5c37b77d434ed2051f85542e3be\",0,\"lean_workbook_plus_11053\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012820.lean\",\"f8588ddd649e89c27d381d222e4ab0ab65aa57bdec60a56a57b444d59de5e6e2\",0,\"lean_workbook_plus_11057\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138201,
+      "path": "data/train/p8b/goedel_workbook-000512-0000-a868382237e58663.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a868382237e5866317a73e1d737119a099a5b2b43e29f5038586c26c3653185a"
+    },
+    {
+      "bytes": 38449,
+      "path": "data/internal_test/p8b/goedel_workbook-000512-0000-3d85a746f23f7c52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3d85a746f23f7c523f5fb54d3018022baa7dd089934cae9df90a746f483044b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000513.json b/manifests/batches/goedel_workbook/000513.json
index aee867ca43b5d196f20075c789eb94ad43960ee1..d13bc5bf5d085ef640e387bff15b56117249794f 100644
--- a/manifests/batches/goedel_workbook/000513.json
+++ b/manifests/batches/goedel_workbook/000513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000513",
   "batch_fingerprint": "b505f76a221cf26ce978c0c027cd8e7c71d0123d84f97dcd07ab8ae88440e617",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000513-0000-a4b08cc973904ad2.parquet",
-      "sha256": "a4b08cc973904ad2804fb4faad5e12a1fce60a786fe030471ae51b37c0ec6f7a",
-      "bytes": 171356,
-      "rows": 35,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000513-0000-a88cc2238752d1d4.parquet",
-      "sha256": "a88cc2238752d1d4edb40b808f3642f3fdf23174af6f5b09f2c51335ead51d63",
-      "bytes": 31605,
-      "rows": 3,
-      "revision": "5c8f3f8630e08141ed50fab7bac1bb4824a0554b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11078",
     "goedel_workbook:lean_workbook_plus_11085",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012842.lean\",\"8232cac316243a9b5cdadc860cdbf734a7e22e0c467e505238e549150b5ab755\",0,\"lean_workbook_plus_11150\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012847.lean\",\"743f0c3e939ed6c701ec57fec120a81131a5aff1b43c48b4d5c0f13a8c4ef309\",0,\"lean_workbook_plus_11170\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012849.lean\",\"cbc6193e9fbdb4e0880c770cb48bcfc0f9b659a1efba8f56ae2c4ef03f62800e\",0,\"lean_workbook_plus_11187\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171356,
+      "path": "data/train/p9d/goedel_workbook-000513-0000-a4b08cc973904ad2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "a4b08cc973904ad2804fb4faad5e12a1fce60a786fe030471ae51b37c0ec6f7a"
+    },
+    {
+      "bytes": 31605,
+      "path": "data/internal_test/p9d/goedel_workbook-000513-0000-a88cc2238752d1d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a88cc2238752d1d4edb40b808f3642f3fdf23174af6f5b09f2c51335ead51d63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000514.json b/manifests/batches/goedel_workbook/000514.json
index 58760c65a3d574b7d7861f878d22992fbc84fb88..87d3f7c3fed731bb820a86b0cf4f1ee1189afb20 100644
--- a/manifests/batches/goedel_workbook/000514.json
+++ b/manifests/batches/goedel_workbook/000514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000514",
   "batch_fingerprint": "4e4d6259191c5bb9b678edcd11ab3d669fed1c8a549ecacf407b72b06d17bb48",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000514-0000-fb1e64c2cac5de21.parquet",
-      "sha256": "fb1e64c2cac5de21ff273953a5f4df17425438eb81e87abe4efc4697a0106dc8",
-      "bytes": 216088,
-      "rows": 39,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000514-0000-31d8ea42f92f4c22.parquet",
-      "sha256": "31d8ea42f92f4c2258a8bb18fe6d9c197fbeb85b9b8e85078c8a8a77c14485e7",
-      "bytes": 86121,
-      "rows": 9,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000514-0000-ac7933456d756302.parquet",
-      "sha256": "ac7933456d75630290d7f3a2a35cb065e01ba495110b5e5fa0bf9a34ed81850a",
-      "bytes": 57280,
-      "rows": 8,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1120",
     "goedel_workbook:lean_workbook_plus_11202",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012872.lean\",\"9dc192925937673ad108b4e7c7ba93ab01a706bd9fb0e20c8711ddc5c7438531\",0,\"lean_workbook_plus_11280\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012873.lean\",\"f871fca76949fd2cd13f3292a5983b9b5f4464f9e2e25c13b774419edee2468b\",0,\"lean_workbook_plus_11282\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012874.lean\",\"7b4b7fa995bcf9df0c9814455233bb2b7db6b1f97bcab216b8870b6873acd47b\",0,\"lean_workbook_plus_11286\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216088,
+      "path": "data/train/p13/goedel_workbook-000514-0000-fb1e64c2cac5de21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "fb1e64c2cac5de21ff273953a5f4df17425438eb81e87abe4efc4697a0106dc8"
+    },
+    {
+      "bytes": 86121,
+      "path": "data/dev/p13/goedel_workbook-000514-0000-31d8ea42f92f4c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "31d8ea42f92f4c2258a8bb18fe6d9c197fbeb85b9b8e85078c8a8a77c14485e7"
+    },
+    {
+      "bytes": 57280,
+      "path": "data/internal_test/p13/goedel_workbook-000514-0000-ac7933456d756302.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ac7933456d75630290d7f3a2a35cb065e01ba495110b5e5fa0bf9a34ed81850a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000515.json b/manifests/batches/goedel_workbook/000515.json
index 18d7494d7e6ff5c39fe9a4ea50bb1f04b202f018..8bbb3dde0d714ce3d08f2e3af68af120506254a9 100644
--- a/manifests/batches/goedel_workbook/000515.json
+++ b/manifests/batches/goedel_workbook/000515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000515",
   "batch_fingerprint": "d5883df532ace12eee38efa967ad6a6169b6769d797bf71957aa1748a10f4bfb",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000515-0000-18052eb107f67b4f.parquet",
-      "sha256": "18052eb107f67b4ff3361b070146fd3da0818593bdb5d0c5caf40989e8b9c940",
-      "bytes": 157278,
-      "rows": 36,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1129",
     "goedel_workbook:lean_workbook_plus_11293",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012897.lean\",\"be3846656ed7b082d6dc4c7a36f3ef020969a906d1ce9b49b614ac2c69744c4a\",0,\"lean_workbook_plus_11381\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012898.lean\",\"fbfe5d33445e90dbbf0e455917f56aef40b0fcd0eeb8f36f4f7875a128bc0e2c\",0,\"lean_workbook_plus_11382\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012899.lean\",\"ad3299db65500d12fe140337b371f394a04eb07bd6079454282c95d901f7a456\",0,\"lean_workbook_plus_11390\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157278,
+      "path": "data/train/pd7/goedel_workbook-000515-0000-18052eb107f67b4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "18052eb107f67b4ff3361b070146fd3da0818593bdb5d0c5caf40989e8b9c940"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000516.json b/manifests/batches/goedel_workbook/000516.json
index acd18f05aa86649504836b9df474a5e840af1608..fbe8cf9f2cc3878a4aa813474c5fcfac14c7a901 100644
--- a/manifests/batches/goedel_workbook/000516.json
+++ b/manifests/batches/goedel_workbook/000516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000516",
   "batch_fingerprint": "dbed3c7dc83de919f49bd9e0431b4ab297f0a6423c691f3ec3fd691a5d646124",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000516-0000-97b9893943ba7d85.parquet",
-      "sha256": "97b9893943ba7d8594a95e77528f06c00b19f1b802cb57489804f73569450d28",
-      "bytes": 102019,
-      "rows": 29,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000516-0000-04e2291da79eda6a.parquet",
-      "sha256": "04e2291da79eda6aa5d12172dc5abb08dbbbf2e2c1848be294046a045c887c5c",
-      "bytes": 42856,
-      "rows": 3,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000516-0000-403caecbf69cd8f2.parquet",
-      "sha256": "403caecbf69cd8f2afd5582a8aff7dbc26ffb47220882ad7bae39cec053a6b0f",
-      "bytes": 45923,
-      "rows": 5,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11395",
     "goedel_workbook:lean_workbook_plus_11411",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012920.lean\",\"3b312852146aa3be74df167709ce9b816913866c63274b8f894cd3f8b9675ad6\",0,\"lean_workbook_plus_11478\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012923.lean\",\"6cc182e1e774cceef7f4428eefa4a577ba67895c4c777e81be07d245b846907e\",0,\"lean_workbook_plus_1149\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012924.lean\",\"18bb59e6c232ad0754126ce0db11b73de9653f87beda2e01695c6f1366385ae0\",0,\"lean_workbook_plus_11499\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102019,
+      "path": "data/train/pdf/goedel_workbook-000516-0000-97b9893943ba7d85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "97b9893943ba7d8594a95e77528f06c00b19f1b802cb57489804f73569450d28"
+    },
+    {
+      "bytes": 42856,
+      "path": "data/dev/pdf/goedel_workbook-000516-0000-04e2291da79eda6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "04e2291da79eda6aa5d12172dc5abb08dbbbf2e2c1848be294046a045c887c5c"
+    },
+    {
+      "bytes": 45923,
+      "path": "data/internal_test/pdf/goedel_workbook-000516-0000-403caecbf69cd8f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "403caecbf69cd8f2afd5582a8aff7dbc26ffb47220882ad7bae39cec053a6b0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000517.json b/manifests/batches/goedel_workbook/000517.json
index d5ec7e9049c7f8614721c7be0b16ed7e6fe5c77c..01ab455314a90ee83f969ceeac054ab888ad2f44 100644
--- a/manifests/batches/goedel_workbook/000517.json
+++ b/manifests/batches/goedel_workbook/000517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000517",
   "batch_fingerprint": "c540fa0bdce0cce4ed15186473421286c6303a229e3c2fa01544fd3ce74d8699",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000517-0000-7a7dd753c888713b.parquet",
-      "sha256": "7a7dd753c888713bbfd4b0eabc42c16ac7b54bd5dc80d444ab7dcf15a52cee18",
-      "bytes": 239289,
-      "rows": 39,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000517-0000-f3d97597b9e91a97.parquet",
-      "sha256": "f3d97597b9e91a979197369ffea8bb9e679ed561964e149c5810c9c54611db9e",
-      "bytes": 46226,
-      "rows": 6,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11500",
     "goedel_workbook:lean_workbook_plus_11502",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012943.lean\",\"83c1e8d72e0e3d0b3694a8f61080646684bf5d9b9d8ad2fbe3952da2d175b8fa\",0,\"lean_workbook_plus_11576\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012948.lean\",\"0c7eed69c1396dc439bc83966348efd9673ad079e7edf54cad2efd85d8fa2894\",0,\"lean_workbook_plus_11616\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239289,
+      "path": "data/train/pb0/goedel_workbook-000517-0000-7a7dd753c888713b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7a7dd753c888713bbfd4b0eabc42c16ac7b54bd5dc80d444ab7dcf15a52cee18"
+    },
+    {
+      "bytes": 46226,
+      "path": "data/internal_test/pb0/goedel_workbook-000517-0000-f3d97597b9e91a97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f3d97597b9e91a979197369ffea8bb9e679ed561964e149c5810c9c54611db9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000518.json b/manifests/batches/goedel_workbook/000518.json
index 0c37262c80d5f5bb1095d07f5f859adb629a5113..c3e4354aece8432424d70f4323e71fa564c4f61c 100644
--- a/manifests/batches/goedel_workbook/000518.json
+++ b/manifests/batches/goedel_workbook/000518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000518",
   "batch_fingerprint": "f9a3c19fd45e020afb0f5afd62aa25f1557619752dcd2db7f6c1d0b738a337ba",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000518-0000-819ebb4c9cb752b6.parquet",
-      "sha256": "819ebb4c9cb752b68d830d061914ef01832d0b2d72aed575200b34e710c18f56",
-      "bytes": 128337,
-      "rows": 31,
-      "revision": "255902335cecee84a9e9c389bbb33db840bb87c7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000518-0000-a3b9ecd1101a1003.parquet",
-      "sha256": "a3b9ecd1101a1003dd125fd334c8e02ceb447e16166bc93b1466835cfc85f57e",
-      "bytes": 26311,
-      "rows": 1,
-      "revision": "255902335cecee84a9e9c389bbb33db840bb87c7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000518-0000-92ab6a50a8d415da.parquet",
-      "sha256": "92ab6a50a8d415da8738b34cc5357b4f9dd688156bba6388b9a8cfb23546d0b3",
-      "bytes": 45108,
-      "rows": 8,
-      "revision": "255902335cecee84a9e9c389bbb33db840bb87c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11622",
     "goedel_workbook:lean_workbook_plus_11623",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012972.lean\",\"3abbcfc97d766fa5320e5215ef6de05d5f61f554f22c827f2050c0ecac674321\",0,\"lean_workbook_plus_11727\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 128337,
+      "path": "data/train/p78/goedel_workbook-000518-0000-819ebb4c9cb752b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "819ebb4c9cb752b68d830d061914ef01832d0b2d72aed575200b34e710c18f56"
+    },
+    {
+      "bytes": 26311,
+      "path": "data/dev/p78/goedel_workbook-000518-0000-a3b9ecd1101a1003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a3b9ecd1101a1003dd125fd334c8e02ceb447e16166bc93b1466835cfc85f57e"
+    },
+    {
+      "bytes": 45108,
+      "path": "data/internal_test/p78/goedel_workbook-000518-0000-92ab6a50a8d415da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "92ab6a50a8d415da8738b34cc5357b4f9dd688156bba6388b9a8cfb23546d0b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000519.json b/manifests/batches/goedel_workbook/000519.json
index 04bb2d07a42df7aa100ab44847e4921f6ead1196..4a9b94276616d5f12dc9a890d0647fb368fb13f4 100644
--- a/manifests/batches/goedel_workbook/000519.json
+++ b/manifests/batches/goedel_workbook/000519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000519",
   "batch_fingerprint": "497ae3cefa165177a6cd4c6408407929ff81681151d7f1317314e17e4abc9b72",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000519-0000-625d1c92639f5c95.parquet",
-      "sha256": "625d1c92639f5c958a4b6529ed7f7fb3111c05fbe07bbd3ad23faab8bd59475e",
-      "bytes": 137663,
-      "rows": 31,
-      "revision": "a3c1dc8c5b5885dba46ddd55ff6061dc9c675f3b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000519-0000-d7ac6f363144e1d7.parquet",
-      "sha256": "d7ac6f363144e1d7153bf0e733701dd19782b175f527ec8177c03415edce605c",
-      "bytes": 49223,
-      "rows": 8,
-      "revision": "a3c1dc8c5b5885dba46ddd55ff6061dc9c675f3b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000519-0000-86176a6bf10f5ed0.parquet",
-      "sha256": "86176a6bf10f5ed0f3af4bcc962829f17399b8f37733893bab8b7ddd44409d89",
-      "bytes": 30561,
-      "rows": 3,
-      "revision": "a3c1dc8c5b5885dba46ddd55ff6061dc9c675f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11738",
     "goedel_workbook:lean_workbook_plus_11742",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012995.lean\",\"63b03990104fcf717cb0949579d2d18753ff62a567fd8ea6a0ab647e07f78feb\",0,\"lean_workbook_plus_11847\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_012999.lean\",\"caac05eddd53d25f6f66efb61ba38ad600cb374313fe54dd452de194084b9c9d\",0,\"lean_workbook_plus_11859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137663,
+      "path": "data/train/pcc/goedel_workbook-000519-0000-625d1c92639f5c95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "625d1c92639f5c958a4b6529ed7f7fb3111c05fbe07bbd3ad23faab8bd59475e"
+    },
+    {
+      "bytes": 49223,
+      "path": "data/dev/pcc/goedel_workbook-000519-0000-d7ac6f363144e1d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d7ac6f363144e1d7153bf0e733701dd19782b175f527ec8177c03415edce605c"
+    },
+    {
+      "bytes": 30561,
+      "path": "data/internal_test/pcc/goedel_workbook-000519-0000-86176a6bf10f5ed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "86176a6bf10f5ed0f3af4bcc962829f17399b8f37733893bab8b7ddd44409d89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000520.json b/manifests/batches/goedel_workbook/000520.json
index 8e9d345233d39f33b0833b103a556bf5a0931377..f2257780a80d1533142f6d97fc4e699c051b4ca8 100644
--- a/manifests/batches/goedel_workbook/000520.json
+++ b/manifests/batches/goedel_workbook/000520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000520",
   "batch_fingerprint": "0a34a1e322e7035f9fde7d550a6bc823a5f0c4ad96ebcb1b438449c84680745c",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000520-0000-8f0becf91e1a6d5a.parquet",
-      "sha256": "8f0becf91e1a6d5a8c3583d6c08dfa40d4d4cfc430fda6119956bae02834acf4",
-      "bytes": 137109,
-      "rows": 34,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000520-0000-55052fe29f9bab98.parquet",
-      "sha256": "55052fe29f9bab98edd16d0d515dbf711803cd4385d95512bc3c7b12e6274226",
-      "bytes": 60634,
-      "rows": 9,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_11860",
     "goedel_workbook:lean_workbook_plus_11863",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013022.lean\",\"be1f7f6d1950c427ef631b38f85c697a8581655de17790b8e37266da4fe840c2\",0,\"lean_workbook_plus_11946\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013023.lean\",\"c29176e9c6e7322bed87f7709d4a8c27a1cdd088855582ea4a845889e66474da\",0,\"lean_workbook_plus_11948\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013024.lean\",\"b380473915a82bf61f43695ffe78199f77556b0630fb9608d3600ec57359fcf3\",0,\"lean_workbook_plus_11949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137109,
+      "path": "data/train/pdb/goedel_workbook-000520-0000-8f0becf91e1a6d5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "8f0becf91e1a6d5a8c3583d6c08dfa40d4d4cfc430fda6119956bae02834acf4"
+    },
+    {
+      "bytes": 60634,
+      "path": "data/internal_test/pdb/goedel_workbook-000520-0000-55052fe29f9bab98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "55052fe29f9bab98edd16d0d515dbf711803cd4385d95512bc3c7b12e6274226"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000521.json b/manifests/batches/goedel_workbook/000521.json
index 88c810715863e7d04c5f871f0ea35d25e58448d1..738ba8f7a052881edd03210564c7b4c21926ad4a 100644
--- a/manifests/batches/goedel_workbook/000521.json
+++ b/manifests/batches/goedel_workbook/000521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000521",
   "batch_fingerprint": "6a0e0f19268c9452ff4d221d5ef9801e53ed37f53d3269e716e5b7333028e5d1",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000521-0000-b8a23969d8c8a33e.parquet",
-      "sha256": "b8a23969d8c8a33e1edc8b3fdbf25ede16f59fb20d0dc5fd85705409406d07f6",
-      "bytes": 178711,
-      "rows": 47,
-      "revision": "c083bb83223cac7609a42a052dcefeef800e71bc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000521-0000-811a49d5d29c0d52.parquet",
-      "sha256": "811a49d5d29c0d5263a9406f5e327d69f560003961484ab06a2c041534f89e48",
-      "bytes": 28867,
-      "rows": 1,
-      "revision": "c083bb83223cac7609a42a052dcefeef800e71bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1195",
     "goedel_workbook:lean_workbook_plus_11950",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013046.lean\",\"2a9898c5a98e37a9bbd2327822ffc81a89e59a9f8d4ee861e32c06bc96bdac8d\",0,\"lean_workbook_plus_12030\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013049.lean\",\"2e8665e47729cfdf22812d616e7f60380e5de3a92919edfe97bcefcfafadc7a4\",0,\"lean_workbook_plus_12043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178711,
+      "path": "data/train/pdb/goedel_workbook-000521-0000-b8a23969d8c8a33e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "b8a23969d8c8a33e1edc8b3fdbf25ede16f59fb20d0dc5fd85705409406d07f6"
+    },
+    {
+      "bytes": 28867,
+      "path": "data/dev/pdb/goedel_workbook-000521-0000-811a49d5d29c0d52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "811a49d5d29c0d5263a9406f5e327d69f560003961484ab06a2c041534f89e48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000522.json b/manifests/batches/goedel_workbook/000522.json
index 3467cb31db1d91eadbf4bca2bcba6399ee3e8a23..a48ab23c467877734fd9dd6bec1f9cceddfbbee1 100644
--- a/manifests/batches/goedel_workbook/000522.json
+++ b/manifests/batches/goedel_workbook/000522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000522",
   "batch_fingerprint": "5008ae0d28dbc0f20578f0382fbdddd7fae9447c7d5018a5da60d113497d9b60",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000522-0000-2aa3f26f5bd3fbd9.parquet",
-      "sha256": "2aa3f26f5bd3fbd9f352f3c8693fbc42ffad80efb1c11f0a03c26f14496cf5fe",
-      "bytes": 174475,
-      "rows": 38,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000522-0000-7da3b58ac3898639.parquet",
-      "sha256": "7da3b58ac389863914d9456736f5f2e642c63ae5fd81980fa44a9f575df8c49e",
-      "bytes": 57936,
-      "rows": 7,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12044",
     "goedel_workbook:lean_workbook_plus_12047",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013070.lean\",\"0da2849de5ae3870ff5d7d39deb452f19707007bd572748323976df2c05e8a09\",0,\"lean_workbook_plus_12113\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013072.lean\",\"7eecb0a657d993d44b469139506b3942aab9f7bc355d23e22cfba3d3aec277db\",0,\"lean_workbook_plus_12126\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013074.lean\",\"391573590f97c988042cc0da58c825d1b908d596012a32bb0f79c25153d33434\",0,\"lean_workbook_plus_12137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174475,
+      "path": "data/train/pd5/goedel_workbook-000522-0000-2aa3f26f5bd3fbd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "2aa3f26f5bd3fbd9f352f3c8693fbc42ffad80efb1c11f0a03c26f14496cf5fe"
+    },
+    {
+      "bytes": 57936,
+      "path": "data/internal_test/pd5/goedel_workbook-000522-0000-7da3b58ac3898639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7da3b58ac389863914d9456736f5f2e642c63ae5fd81980fa44a9f575df8c49e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000523.json b/manifests/batches/goedel_workbook/000523.json
index 37ab56a72663bd3a9425089eaf4f2096d65cc769..e4eca1a3d4a6be5a65038253ee04722d5899dcbd 100644
--- a/manifests/batches/goedel_workbook/000523.json
+++ b/manifests/batches/goedel_workbook/000523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000523",
   "batch_fingerprint": "6132aa0da88b15b3d5607d35b8da5f460ac50c1af9d3b242018ac2ee38a0569f",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000523-0000-bb6e4310b304d86a.parquet",
-      "sha256": "bb6e4310b304d86a28787cb1a09c1484c1d6da4db98ef2fbe510b12c9990bf8f",
-      "bytes": 88016,
-      "rows": 21,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000523-0000-bcd7046fba0e427b.parquet",
-      "sha256": "bcd7046fba0e427b30514e7885a7d7f3a2195b7332fc491283beca963fe86a3b",
-      "bytes": 75418,
-      "rows": 16,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000523-0000-e670681072619de7.parquet",
-      "sha256": "e670681072619de7c44894f63e66ddff70bb509f377b61ecd5fed9229b6708ff",
-      "bytes": 51617,
-      "rows": 7,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12140",
     "goedel_workbook:lean_workbook_plus_12146",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013097.lean\",\"a333e58bc1e8192afd1a00ceea090f048b24f28b8e9ee67c4300cf8513a5bb17\",0,\"lean_workbook_plus_12217\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013098.lean\",\"ea145b8da0b85fb65e9bde885f6bf54979d060307524ed6920cde2fd9d83df30\",0,\"lean_workbook_plus_12221\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013099.lean\",\"9c4259e0a9557e6f09a098f6c23c18244573a4f3f026207332d8989f96b0a084\",0,\"lean_workbook_plus_12227\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88016,
+      "path": "data/train/p75/goedel_workbook-000523-0000-bb6e4310b304d86a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "bb6e4310b304d86a28787cb1a09c1484c1d6da4db98ef2fbe510b12c9990bf8f"
+    },
+    {
+      "bytes": 75418,
+      "path": "data/dev/p75/goedel_workbook-000523-0000-bcd7046fba0e427b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bcd7046fba0e427b30514e7885a7d7f3a2195b7332fc491283beca963fe86a3b"
+    },
+    {
+      "bytes": 51617,
+      "path": "data/internal_test/p75/goedel_workbook-000523-0000-e670681072619de7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e670681072619de7c44894f63e66ddff70bb509f377b61ecd5fed9229b6708ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000524.json b/manifests/batches/goedel_workbook/000524.json
index b8a57c3ec57b56fc03e78c02574d97ff6faecfb9..1e7cac28117b724028919c84423a3763ea5c06a1 100644
--- a/manifests/batches/goedel_workbook/000524.json
+++ b/manifests/batches/goedel_workbook/000524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000524",
   "batch_fingerprint": "72e64b30e6fa57c92c1d9c0ff2cdafc5f07c2a11e272fefffac0c871695d89cf",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000524-0000-5e4ce958d14afc26.parquet",
-      "sha256": "5e4ce958d14afc2609b792a8c0194391ca27730cbdba1a1c31d83142c6b4d502",
-      "bytes": 154783,
-      "rows": 38,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000524-0000-0f35a678850f1e5d.parquet",
-      "sha256": "0f35a678850f1e5d6146833d84cd2d91c8f56fb1efb862d4d0a2cf3efd73cd72",
-      "bytes": 40500,
-      "rows": 7,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12238",
     "goedel_workbook:lean_workbook_plus_12239",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013122.lean\",\"105350fb13a0703b1dd35741a54e2d2a09abcd227b5ae71dbac179be2b6fa358\",0,\"lean_workbook_plus_12314\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013123.lean\",\"92ab056909556043cbd987cd8ae0479aa0aadc0604501292a5c70cb5e959daf8\",0,\"lean_workbook_plus_12317\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013124.lean\",\"b4561126cf93b6f83b8ebec527c98958f46110e3a208c3494e9add266de85669\",0,\"lean_workbook_plus_12321\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154783,
+      "path": "data/train/p43/goedel_workbook-000524-0000-5e4ce958d14afc26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "5e4ce958d14afc2609b792a8c0194391ca27730cbdba1a1c31d83142c6b4d502"
+    },
+    {
+      "bytes": 40500,
+      "path": "data/internal_test/p43/goedel_workbook-000524-0000-0f35a678850f1e5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0f35a678850f1e5d6146833d84cd2d91c8f56fb1efb862d4d0a2cf3efd73cd72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000525.json b/manifests/batches/goedel_workbook/000525.json
index a54c36a04bc4dd70ca93f219dea4a58f31ed4250..5f78b6af0b3e74d2d3374468ca518254300821f1 100644
--- a/manifests/batches/goedel_workbook/000525.json
+++ b/manifests/batches/goedel_workbook/000525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000525",
   "batch_fingerprint": "dd32a147182494a03bd48245fa27ef8ab664277aaa5d5e111eab0c98d531b217",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000525-0000-d32da697660cd855.parquet",
-      "sha256": "d32da697660cd855db89d33e4864e43fbf7dbbd9b42dbccaa6f908898c7d0104",
-      "bytes": 154075,
-      "rows": 37,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000525-0000-417f970d15815cab.parquet",
-      "sha256": "417f970d15815cabd7f13c72eda80caeaa4104c3fb5e960d4c68b5e687184b9a",
-      "bytes": 38899,
-      "rows": 4,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12331",
     "goedel_workbook:lean_workbook_plus_12334",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013146.lean\",\"23a96fe2dd578cf8732949243e116a364c8947cac4cb6fa36f3d14e49b832034\",0,\"lean_workbook_plus_12430\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013147.lean\",\"fa7a5e53e71cefd4678895fbc3a69140d139ccf0add7196b573798ba0017005b\",0,\"lean_workbook_plus_1244\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013148.lean\",\"571338169c4c472a6b1a03e032b609aaf9e0fad64f20e77f6a2f348c52c14242\",0,\"lean_workbook_plus_12440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154075,
+      "path": "data/train/pbd/goedel_workbook-000525-0000-d32da697660cd855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d32da697660cd855db89d33e4864e43fbf7dbbd9b42dbccaa6f908898c7d0104"
+    },
+    {
+      "bytes": 38899,
+      "path": "data/internal_test/pbd/goedel_workbook-000525-0000-417f970d15815cab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "417f970d15815cabd7f13c72eda80caeaa4104c3fb5e960d4c68b5e687184b9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000526.json b/manifests/batches/goedel_workbook/000526.json
index 42ca99a9b833aa36dcae26a60d15dfffdbd09742..4436b3cfd9ab9b00e2de8283d439e6c1819a678e 100644
--- a/manifests/batches/goedel_workbook/000526.json
+++ b/manifests/batches/goedel_workbook/000526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000526",
   "batch_fingerprint": "084f79e5130e4196af0d4376474be2ec13a59247dfa896b23e350659e5032001",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000526-0000-1f215ac85c956d02.parquet",
-      "sha256": "1f215ac85c956d0296f42108c6b9f8a2b5fed1a8be2e6bc53656d78ff8a61571",
-      "bytes": 119924,
-      "rows": 34,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000526-0000-1100f524eb94c08b.parquet",
-      "sha256": "1100f524eb94c08bfb6cfd2093fffb0d0b6b83f641cb3f51690376751ee76278",
-      "bytes": 32607,
-      "rows": 1,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000526-0000-e9be2241c88413b8.parquet",
-      "sha256": "e9be2241c88413b8a254fb90cead15b4b240ad81adf49dc4412a297e750dc031",
-      "bytes": 26264,
-      "rows": 1,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12467",
     "goedel_workbook:lean_workbook_plus_1247",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013170.lean\",\"b3ec642f38c0853a51ec41b2dc35b6d1fea8f09b2b5f2803a8375c427fa5a970\",0,\"lean_workbook_plus_1254\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013171.lean\",\"f19bef6f1b2e2ebbba4920636610a3f9155f0aac569f8a10db577f996c1c83a0\",0,\"lean_workbook_plus_12542\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013172.lean\",\"38376081723c443ccb7f72e1f446044949e9e0cbac0058613f6af51113a01053\",0,\"lean_workbook_plus_12543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119924,
+      "path": "data/train/p77/goedel_workbook-000526-0000-1f215ac85c956d02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "1f215ac85c956d0296f42108c6b9f8a2b5fed1a8be2e6bc53656d78ff8a61571"
+    },
+    {
+      "bytes": 32607,
+      "path": "data/dev/p77/goedel_workbook-000526-0000-1100f524eb94c08b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1100f524eb94c08bfb6cfd2093fffb0d0b6b83f641cb3f51690376751ee76278"
+    },
+    {
+      "bytes": 26264,
+      "path": "data/internal_test/p77/goedel_workbook-000526-0000-e9be2241c88413b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e9be2241c88413b8a254fb90cead15b4b240ad81adf49dc4412a297e750dc031"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000527.json b/manifests/batches/goedel_workbook/000527.json
index e27e37b0b2627152ba7d3f9d47971c60c67c76ed..5436c97afe86229acc7fb794ef3ac44cb4940f45 100644
--- a/manifests/batches/goedel_workbook/000527.json
+++ b/manifests/batches/goedel_workbook/000527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000527",
   "batch_fingerprint": "f59c1938119a9280e4b08227f5be8fbcd837e80946d7ceab742b546311b6b5c1",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000527-0000-f548f16a36f8b39f.parquet",
-      "sha256": "f548f16a36f8b39f101c49961a6e00a8ae2aa4b60dbcd5fa6f638bd060e2d619",
-      "bytes": 157466,
-      "rows": 44,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000527-0000-a8aa6081f05657dc.parquet",
-      "sha256": "a8aa6081f05657dc1e681c5340c4a3c0b6721ea08f5585d33f1fe4bb964a440e",
-      "bytes": 38059,
-      "rows": 1,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1255",
     "goedel_workbook:lean_workbook_plus_12563",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013195.lean\",\"89951ae6a216dfb57dedb6cdc3c5faf1af71ec946e4389087a54adde56f90c76\",0,\"lean_workbook_plus_12632\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013198.lean\",\"36a01a8874d9a501d104d2a40ee2cc20115a858293c71e7de502a161231225be\",0,\"lean_workbook_plus_12643\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013199.lean\",\"e84e09ba234c2b31f14e30a8a2b7a5a0329966b15b616da186c78353931e5f6a\",0,\"lean_workbook_plus_12649\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157466,
+      "path": "data/train/pe2/goedel_workbook-000527-0000-f548f16a36f8b39f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "f548f16a36f8b39f101c49961a6e00a8ae2aa4b60dbcd5fa6f638bd060e2d619"
+    },
+    {
+      "bytes": 38059,
+      "path": "data/internal_test/pe2/goedel_workbook-000527-0000-a8aa6081f05657dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a8aa6081f05657dc1e681c5340c4a3c0b6721ea08f5585d33f1fe4bb964a440e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000528.json b/manifests/batches/goedel_workbook/000528.json
index 7992c7644ad418dde872f4fa3eb187731707b607..533d9a1b168cd1e2a576ba2d6bb8d4f56b09bc30 100644
--- a/manifests/batches/goedel_workbook/000528.json
+++ b/manifests/batches/goedel_workbook/000528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000528",
   "batch_fingerprint": "4d037c8f5accebc6215c641e302c1fbfb34c631858c941164e68bbde34a24ebe",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000528-0000-589d750226872d29.parquet",
-      "sha256": "589d750226872d297e82535e5ad53f717ae9c10df4076f78c8f77d35e82761f0",
-      "bytes": 126798,
-      "rows": 35,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000528-0000-495b10377e07ddc8.parquet",
-      "sha256": "495b10377e07ddc8c25da7db4af176271e1774074ab06fa85192a312b3dcfa3f",
-      "bytes": 44109,
-      "rows": 5,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12651",
     "goedel_workbook:lean_workbook_plus_12654",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013221.lean\",\"ab14a0d8c50e8c2124e9abba91d669222607ff2dc5736fce4b67a90f3b7429fd\",0,\"lean_workbook_plus_12730\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013223.lean\",\"439b77554bf74ba6db23be166b7187a3eaa0ef8907e5facf72b711ec29f439ad\",0,\"lean_workbook_plus_12733\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013224.lean\",\"cd5d05cba82d6ed9eb67e8a985e509c713e4f5f33f11e41fffded2cf23b3a339\",0,\"lean_workbook_plus_12734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126798,
+      "path": "data/train/pbd/goedel_workbook-000528-0000-589d750226872d29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "589d750226872d297e82535e5ad53f717ae9c10df4076f78c8f77d35e82761f0"
+    },
+    {
+      "bytes": 44109,
+      "path": "data/internal_test/pbd/goedel_workbook-000528-0000-495b10377e07ddc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "495b10377e07ddc8c25da7db4af176271e1774074ab06fa85192a312b3dcfa3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000529.json b/manifests/batches/goedel_workbook/000529.json
index 4409e16a736c35ba52cce7c417f7f148a773d350..e38eec9779522a61f2c465e9354b161cdc6501ca 100644
--- a/manifests/batches/goedel_workbook/000529.json
+++ b/manifests/batches/goedel_workbook/000529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000529",
   "batch_fingerprint": "31e04008e7e95dcb87282741f99ae16c9762611aab299a09cdc74fa6832531dc",
   "evidence": {
@@ -264,15 +263,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000529-0000-9f02c362901be271.parquet",
-      "sha256": "9f02c362901be27176f46fc74c11df17426f2d56fa301f7fc68b4ea1cdea7795",
-      "bytes": 118821,
-      "rows": 28,
-      "revision": "591f64301c98f668c9818148f694b13ec9d25204"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12740",
     "goedel_workbook:lean_workbook_plus_12743",
@@ -300,5 +291,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013242.lean\",\"5f5323d20c2695de3d0033e304c8115b10b0767dd7a099556c14b152a5e8ed8c\",0,\"lean_workbook_plus_12878\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013245.lean\",\"654280dd2be27c25f6ec19018c99a951b463489e13ce3ffd020810ad067ceb9c\",0,\"lean_workbook_plus_12893\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013248.lean\",\"21820b816b5b9e63439b526f301a29e201b01481161098d4a51685122869b327\",0,\"lean_workbook_plus_12919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118821,
+      "path": "data/train/p2f/goedel_workbook-000529-0000-9f02c362901be271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "9f02c362901be27176f46fc74c11df17426f2d56fa301f7fc68b4ea1cdea7795"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000530.json b/manifests/batches/goedel_workbook/000530.json
index ef17ea3b2176eebdfdb1509645ab15bbe0329c65..9ebad717baf019622253a42b00cbb3c51f63c005 100644
--- a/manifests/batches/goedel_workbook/000530.json
+++ b/manifests/batches/goedel_workbook/000530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000530",
   "batch_fingerprint": "64d2e4824adf70b4cd6fce7c038f436efb618190c96247537fded2976610fb9b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000530-0000-ccb9574efdc33974.parquet",
-      "sha256": "ccb9574efdc33974628f50a0178fb92e12efac3f0f4da9645b61a489e2855e61",
-      "bytes": 191589,
-      "rows": 45,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000530-0000-ef993b07ed5279e6.parquet",
-      "sha256": "ef993b07ed5279e6bfce3001376f396783d73e61a4bb89e0dda4535342858ccb",
-      "bytes": 29792,
-      "rows": 1,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_12925",
     "goedel_workbook:lean_workbook_plus_12936",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013272.lean\",\"611e86a8ba65f60269ce599ec0bc3c44ec7bc51d047fcbec1f57288faebcc40a\",0,\"lean_workbook_plus_13013\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013273.lean\",\"5de1427dee15602fe9cba2ce8134715532ff347f97794fac2f45aeb51b22ecaf\",0,\"lean_workbook_plus_13015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013274.lean\",\"a92fb3a496764741d05f5651b580936a1b137c43201a7ed27c1de88954cc847f\",0,\"lean_workbook_plus_13017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191589,
+      "path": "data/train/pff/goedel_workbook-000530-0000-ccb9574efdc33974.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "ccb9574efdc33974628f50a0178fb92e12efac3f0f4da9645b61a489e2855e61"
+    },
+    {
+      "bytes": 29792,
+      "path": "data/internal_test/pff/goedel_workbook-000530-0000-ef993b07ed5279e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ef993b07ed5279e6bfce3001376f396783d73e61a4bb89e0dda4535342858ccb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000531.json b/manifests/batches/goedel_workbook/000531.json
index b9951ce3bbafdc098c536becd6d0e2439a6b7e6f..79612925784da18286f5d5739de1f43de654ede9 100644
--- a/manifests/batches/goedel_workbook/000531.json
+++ b/manifests/batches/goedel_workbook/000531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000531",
   "batch_fingerprint": "61e3a15e74b67c2dca979e451f1edaecec56e79c4d31d2c5ab154741669ed56e",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000531-0000-726029204b6d2142.parquet",
-      "sha256": "726029204b6d2142c33489c743d71ddb74dae9aec5281c6a7fdd2f62f9dc16d4",
-      "bytes": 185807,
-      "rows": 46,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000531-0000-45bac0ce2ce6e9fa.parquet",
-      "sha256": "45bac0ce2ce6e9fadd707c977a84b5a702d16dfa312a4134e9f5e4efe9871982",
-      "bytes": 65081,
-      "rows": 5,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000531-0000-21bd5d17402011e6.parquet",
-      "sha256": "21bd5d17402011e66c26026ceefe61926dab088806842f4131c9f5ee31a942cb",
-      "bytes": 42117,
-      "rows": 5,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13023",
     "goedel_workbook:lean_workbook_plus_13042",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013296.lean\",\"332018099580420a1e29e247c24b1beebb7fea4c3f1d51ba6c05bcaedaaeb27b\",0,\"lean_workbook_plus_1312\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013297.lean\",\"a7d5c2ed7b9d2ce57673560866212fb89f9fe9cebc6b0a3449b0953d1eacb51f\",0,\"lean_workbook_plus_13122\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013298.lean\",\"b85c331cc19e81a6ee5f863a0fa66f014bdb6a268d02e4f7c0ed74273786b9b6\",0,\"lean_workbook_plus_13128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185807,
+      "path": "data/train/p72/goedel_workbook-000531-0000-726029204b6d2142.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "726029204b6d2142c33489c743d71ddb74dae9aec5281c6a7fdd2f62f9dc16d4"
+    },
+    {
+      "bytes": 65081,
+      "path": "data/dev/p72/goedel_workbook-000531-0000-45bac0ce2ce6e9fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "45bac0ce2ce6e9fadd707c977a84b5a702d16dfa312a4134e9f5e4efe9871982"
+    },
+    {
+      "bytes": 42117,
+      "path": "data/internal_test/p72/goedel_workbook-000531-0000-21bd5d17402011e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "21bd5d17402011e66c26026ceefe61926dab088806842f4131c9f5ee31a942cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000532.json b/manifests/batches/goedel_workbook/000532.json
index 8494c82e2ccf445952171baa45f2145256a8cca2..43005c1780bf6b57b83a60ce346e1331d94a6997 100644
--- a/manifests/batches/goedel_workbook/000532.json
+++ b/manifests/batches/goedel_workbook/000532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000532",
   "batch_fingerprint": "db4625b6cd36080cd10aee1b26e5e1fd3be73807b3bf873c1a93eafa18a1f501",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000532-0000-ef679b52b1d4e346.parquet",
-      "sha256": "ef679b52b1d4e346f50fea113d20262e95c6b0ebaf6063a9b81ac224f937060d",
-      "bytes": 151361,
-      "rows": 40,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000532-0000-0a8625131cc306c9.parquet",
-      "sha256": "0a8625131cc306c9ce0ec024490131c56fad409792fc5f64b380002843513d1e",
-      "bytes": 32221,
-      "rows": 1,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000532-0000-55b346fe037fb24b.parquet",
-      "sha256": "55b346fe037fb24b2301144b4a0d3cc821919fd62d5a336bcf4edf7f20a3b121",
-      "bytes": 51951,
-      "rows": 12,
-      "revision": "5059266a935dbc314eb722bfb438bb30a5b83b9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13131",
     "goedel_workbook:lean_workbook_plus_13133",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013322.lean\",\"dae407a2f3899dff4a14c4ead8cda1e7672b10b83ad004994943159f295ce769\",0,\"lean_workbook_plus_13250\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013323.lean\",\"9d4465fe137d91d35fceccc7beefec731c6874a7fbb94c977d363aeb01ee09b0\",0,\"lean_workbook_plus_13283\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013324.lean\",\"cdc38cd45eda9e37998ea830993831800b99e7a24322cfa7f8b54a9fa4fec712\",0,\"lean_workbook_plus_13285\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151361,
+      "path": "data/train/p4f/goedel_workbook-000532-0000-ef679b52b1d4e346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "ef679b52b1d4e346f50fea113d20262e95c6b0ebaf6063a9b81ac224f937060d"
+    },
+    {
+      "bytes": 32221,
+      "path": "data/dev/p4f/goedel_workbook-000532-0000-0a8625131cc306c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0a8625131cc306c9ce0ec024490131c56fad409792fc5f64b380002843513d1e"
+    },
+    {
+      "bytes": 51951,
+      "path": "data/internal_test/p4f/goedel_workbook-000532-0000-55b346fe037fb24b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "55b346fe037fb24b2301144b4a0d3cc821919fd62d5a336bcf4edf7f20a3b121"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000533.json b/manifests/batches/goedel_workbook/000533.json
index 5d74b9f2d5a3f50ec2e0f49c57531b3143e3ab3b..e971ea92326267154d4882a943d7893cdfc38dc4 100644
--- a/manifests/batches/goedel_workbook/000533.json
+++ b/manifests/batches/goedel_workbook/000533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000533",
   "batch_fingerprint": "72caea61f9923fa92ad93a801752d441840172528c4283f8d33443936c267eac",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000533-0000-5f4f1748c4e7e88a.parquet",
-      "sha256": "5f4f1748c4e7e88a895e82b91311fcef667d3a3f0f6ece67fc37434814bf26af",
-      "bytes": 110181,
-      "rows": 25,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000533-0000-29f0c19670590b35.parquet",
-      "sha256": "29f0c19670590b3507ca367b0c43e1d078fa0c40ff94397da44f53c98968b8bd",
-      "bytes": 36652,
-      "rows": 3,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000533-0000-6292a4dce85d8780.parquet",
-      "sha256": "6292a4dce85d8780617f08fd8d36d2593ec88951937528ba1697371b87175e1d",
-      "bytes": 37177,
-      "rows": 3,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13286",
     "goedel_workbook:lean_workbook_plus_13303",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013346.lean\",\"68d6bfddc59a279c0b78ebe77db9737aa2346790d3d60e3a486491289806292d\",0,\"lean_workbook_plus_13389\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013348.lean\",\"5df0cb4decc66a88381ae88b08c6547bfa5a244fb9fc9688c49818f42e380193\",0,\"lean_workbook_plus_13400\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013349.lean\",\"9ce5d8d7b7291b80e85fd755e02286d3355aa1a04db367799c16bac9670180f1\",0,\"lean_workbook_plus_13413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110181,
+      "path": "data/train/pa2/goedel_workbook-000533-0000-5f4f1748c4e7e88a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5f4f1748c4e7e88a895e82b91311fcef667d3a3f0f6ece67fc37434814bf26af"
+    },
+    {
+      "bytes": 36652,
+      "path": "data/dev/pa2/goedel_workbook-000533-0000-29f0c19670590b35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "29f0c19670590b3507ca367b0c43e1d078fa0c40ff94397da44f53c98968b8bd"
+    },
+    {
+      "bytes": 37177,
+      "path": "data/internal_test/pa2/goedel_workbook-000533-0000-6292a4dce85d8780.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6292a4dce85d8780617f08fd8d36d2593ec88951937528ba1697371b87175e1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000534.json b/manifests/batches/goedel_workbook/000534.json
index 046134fa454b75fdbe4cdd29d5a7ee345807441a..1c8e42aa4b724299bf26c855dc7efd2c77327d59 100644
--- a/manifests/batches/goedel_workbook/000534.json
+++ b/manifests/batches/goedel_workbook/000534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000534",
   "batch_fingerprint": "77c726772c7823bc74a09878e2bcae1638c43aa3ba164f28c2bc646f2165944f",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000534-0000-9ab1c05f89ec0c21.parquet",
-      "sha256": "9ab1c05f89ec0c21b5715b25071c6032e116ccef8044593f137370ffae52a3f2",
-      "bytes": 193113,
-      "rows": 53,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000534-0000-b56a1c5e0fbf9e5a.parquet",
-      "sha256": "b56a1c5e0fbf9e5ae0fee5764ebef5ef95653914ce871f6017afac7603eb500d",
-      "bytes": 33095,
-      "rows": 3,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13420",
     "goedel_workbook:lean_workbook_plus_13428",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013372.lean\",\"ed6ed9ff8db97ddc8f2a30d0b0ad95401527c4792fb3f2ca7594d1e56016483b\",0,\"lean_workbook_plus_13493\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013373.lean\",\"d67c77016925801015dc37a322e78ba8b77c568c9888cd0aa91a284f28c5d14c\",0,\"lean_workbook_plus_13494\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013374.lean\",\"d9f9aafd27db6dcdba7b25ca7473cc88ed021e7054f4fa92b808448212854a2a\",0,\"lean_workbook_plus_13495\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193113,
+      "path": "data/train/p68/goedel_workbook-000534-0000-9ab1c05f89ec0c21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "9ab1c05f89ec0c21b5715b25071c6032e116ccef8044593f137370ffae52a3f2"
+    },
+    {
+      "bytes": 33095,
+      "path": "data/internal_test/p68/goedel_workbook-000534-0000-b56a1c5e0fbf9e5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b56a1c5e0fbf9e5ae0fee5764ebef5ef95653914ce871f6017afac7603eb500d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000535.json b/manifests/batches/goedel_workbook/000535.json
index dbc9e435d343ab94770cbff56e0dea586328c751..b3a00cf33aef7b0b39c5ea3c678f44d4cddbe798 100644
--- a/manifests/batches/goedel_workbook/000535.json
+++ b/manifests/batches/goedel_workbook/000535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000535",
   "batch_fingerprint": "3cac069a00979b35e7936af3321f40e76bf6c7fda976ec9383565eac0fb86527",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000535-0000-56640ca0f5e6730e.parquet",
-      "sha256": "56640ca0f5e6730eb8a0fc07f1e01508cce36fc79c70c938f4d04a9092e4584a",
-      "bytes": 105832,
-      "rows": 28,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000535-0000-815dee2e3d0768ef.parquet",
-      "sha256": "815dee2e3d0768ef8b881f9eb584a7d18842f43654fc1cb26cf969be739d9a24",
-      "bytes": 50991,
-      "rows": 5,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13497",
     "goedel_workbook:lean_workbook_plus_135",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013397.lean\",\"d2ff278dba099ca5eb689704b0f2fcbe5226ec2686a0d8f142981840d973231c\",0,\"lean_workbook_plus_13616\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013398.lean\",\"da64fd766c23517b43d475746e3206e587bfdffcc18340c37885a565eebad301\",0,\"lean_workbook_plus_13622\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013399.lean\",\"a6ae057f8a1b5ea9cb410679553a5add135b22bbbcc05b2e185406dc646c1f8b\",0,\"lean_workbook_plus_13634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105832,
+      "path": "data/train/p20/goedel_workbook-000535-0000-56640ca0f5e6730e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "56640ca0f5e6730eb8a0fc07f1e01508cce36fc79c70c938f4d04a9092e4584a"
+    },
+    {
+      "bytes": 50991,
+      "path": "data/dev/p20/goedel_workbook-000535-0000-815dee2e3d0768ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "815dee2e3d0768ef8b881f9eb584a7d18842f43654fc1cb26cf969be739d9a24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000536.json b/manifests/batches/goedel_workbook/000536.json
index 8319b5fc342bd311778ef2ea6be787db7ec1f2e7..47d898c1d6d0031120b2efbf8ff268e7ca8934c4 100644
--- a/manifests/batches/goedel_workbook/000536.json
+++ b/manifests/batches/goedel_workbook/000536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000536",
   "batch_fingerprint": "afc5d84fa24dc412312367251708f2d3685e44ee4df5ca7599605d285098dc86",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000536-0000-9e7415cb4e058e15.parquet",
-      "sha256": "9e7415cb4e058e1543b6fcb938c357828cfc8f05e5abf1e78bfc071fb95a8dbe",
-      "bytes": 106716,
-      "rows": 32,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000536-0000-c7b998c305a49b79.parquet",
-      "sha256": "c7b998c305a49b790e2afc10431b7bc08f1965492497961d98c61bc5abdc7a6f",
-      "bytes": 25325,
-      "rows": 1,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13642",
     "goedel_workbook:lean_workbook_plus_13649",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013415.lean\",\"27f20accdeb1e2532cea63c5a067fffa9f1ae52ab3a28bd809dd4de7bf9f3ac9\",0,\"lean_workbook_plus_13707\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013419.lean\",\"5f3263ff3879426044af8e133dea80eca5238eac45d7bc73424dd038fc1c3706\",0,\"lean_workbook_plus_13731\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013421.lean\",\"069a2682423c08847813781784c2316fe5d8582f44dff6c65e7afb4a64f23670\",0,\"lean_workbook_plus_13734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106716,
+      "path": "data/train/p19/goedel_workbook-000536-0000-9e7415cb4e058e15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "9e7415cb4e058e1543b6fcb938c357828cfc8f05e5abf1e78bfc071fb95a8dbe"
+    },
+    {
+      "bytes": 25325,
+      "path": "data/dev/p19/goedel_workbook-000536-0000-c7b998c305a49b79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c7b998c305a49b790e2afc10431b7bc08f1965492497961d98c61bc5abdc7a6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000537.json b/manifests/batches/goedel_workbook/000537.json
index 2a7c0ba5d94a2fac831329624a0dfebcab540d57..15b5b63751cd3ad4ab16d3200a9d5a0339ab5b58 100644
--- a/manifests/batches/goedel_workbook/000537.json
+++ b/manifests/batches/goedel_workbook/000537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000537",
   "batch_fingerprint": "1e6babe02de96e8fae94c91bd8fee679216cb0e6c35c03c9739f7da1d344cacf",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000537-0000-3d9bbef7ece8342b.parquet",
-      "sha256": "3d9bbef7ece8342bc2bb51aa4a3356dab3e5bbb8c565e83f1c6e8d02949f9d75",
-      "bytes": 110852,
-      "rows": 30,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000537-0000-1cde1dc95b9b1af3.parquet",
-      "sha256": "1cde1dc95b9b1af3f4fe4716abb52103c61b8a301409e9f501bd88dc95b23b68",
-      "bytes": 31227,
-      "rows": 1,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13752",
     "goedel_workbook:lean_workbook_plus_1376",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013441.lean\",\"c344361c79006894f4fb2bc4f52777a6f5fc76fc6a314bbdff6996f2b25fffb1\",0,\"lean_workbook_plus_1381\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013444.lean\",\"d50cf5dab6eb40c6413162649224e119bf5e08aa367c8a47b1d8045a45b6bc59\",0,\"lean_workbook_plus_1383\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013449.lean\",\"7ed90df3e7790e3b4b9be9f51b4c2953de3d52ec37f407d01fd1629acbdcb548\",0,\"lean_workbook_plus_13848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110852,
+      "path": "data/train/p20/goedel_workbook-000537-0000-3d9bbef7ece8342b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "3d9bbef7ece8342bc2bb51aa4a3356dab3e5bbb8c565e83f1c6e8d02949f9d75"
+    },
+    {
+      "bytes": 31227,
+      "path": "data/internal_test/p20/goedel_workbook-000537-0000-1cde1dc95b9b1af3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1cde1dc95b9b1af3f4fe4716abb52103c61b8a301409e9f501bd88dc95b23b68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000538.json b/manifests/batches/goedel_workbook/000538.json
index 6dbcd63c85a14471afbe0b57a9ce9c73abf789e6..c6026d496aa7605ae4c55833e0f45c8e9d0a4cc1 100644
--- a/manifests/batches/goedel_workbook/000538.json
+++ b/manifests/batches/goedel_workbook/000538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000538",
   "batch_fingerprint": "21b468c882bb569cac0659bfedafc1a160890069f79cf94ecff7ad15aa934cd2",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000538-0000-3f472d2d1237fa59.parquet",
-      "sha256": "3f472d2d1237fa59968c4866e4f529e5edf18d65358e7b40a8783effe8010c33",
-      "bytes": 190686,
-      "rows": 46,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000538-0000-4f857347098d64a1.parquet",
-      "sha256": "4f857347098d64a1df1faa8019f02691df800c8b07ff1cb21e139e963e187dc3",
-      "bytes": 39557,
-      "rows": 2,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000538-0000-87c9e9af231565af.parquet",
-      "sha256": "87c9e9af231565afca14fb34c99ca2f1a25800016f9c995210999b36a10d42aa",
-      "bytes": 53486,
-      "rows": 8,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13853",
     "goedel_workbook:lean_workbook_plus_13855",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013470.lean\",\"977623ef5f152657b92725a48956f0144d113e523952c2c485be08e20a98d376\",0,\"lean_workbook_plus_13928\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013472.lean\",\"6afb862ec23fda79980b0935fde84a0778b87fa2e23c085362882aa1b22816e9\",0,\"lean_workbook_plus_13937\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013473.lean\",\"07ad9727a905137c768246340a5a32fdcefda9bd96a3abd5bfcab171c58b65f1\",0,\"lean_workbook_plus_13938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190686,
+      "path": "data/train/pa9/goedel_workbook-000538-0000-3f472d2d1237fa59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "3f472d2d1237fa59968c4866e4f529e5edf18d65358e7b40a8783effe8010c33"
+    },
+    {
+      "bytes": 39557,
+      "path": "data/dev/pa9/goedel_workbook-000538-0000-4f857347098d64a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f857347098d64a1df1faa8019f02691df800c8b07ff1cb21e139e963e187dc3"
+    },
+    {
+      "bytes": 53486,
+      "path": "data/internal_test/pa9/goedel_workbook-000538-0000-87c9e9af231565af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "87c9e9af231565afca14fb34c99ca2f1a25800016f9c995210999b36a10d42aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000539.json b/manifests/batches/goedel_workbook/000539.json
index 491819e8fcb3b625bab194e02ee0fc015ef58e51..1a5287db929fef7e594c2702f1368f3d7e398ff3 100644
--- a/manifests/batches/goedel_workbook/000539.json
+++ b/manifests/batches/goedel_workbook/000539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000539",
   "batch_fingerprint": "e88566291aca2fb72f1746443d41d0d9cd405aab58d5e5445e254faff27ec6d1",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000539-0000-a36fc259dc4f887b.parquet",
-      "sha256": "a36fc259dc4f887b835a4b3ef41e44b28808022c25d46874af1b6b3c34df58fe",
-      "bytes": 155233,
-      "rows": 38,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000539-0000-c3f8f909483db67e.parquet",
-      "sha256": "c3f8f909483db67eb5c711279da3971aac485a6879c4d5339fcea2432a728819",
-      "bytes": 44210,
-      "rows": 4,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000539-0000-25e92253b726233c.parquet",
-      "sha256": "25e92253b726233c61bd999f513f54c87a06554b2ac16ed9b2cb084e04fe8214",
-      "bytes": 45790,
-      "rows": 9,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_13947",
     "goedel_workbook:lean_workbook_plus_13950",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013496.lean\",\"7c9a173f415e448e45320a764d2b066626008c1406392fc6e3fb874d87c52656\",0,\"lean_workbook_plus_14025\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013497.lean\",\"b333c06c5c8169938f5c36c8c6a247141789a21ab09fb790ddabeaf8bda1f45d\",0,\"lean_workbook_plus_14027\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013499.lean\",\"ef4c7c1dd92b076fe17bd8093d711481196e0af6f664052d8f7ad50e2756432b\",0,\"lean_workbook_plus_14036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155233,
+      "path": "data/train/pdb/goedel_workbook-000539-0000-a36fc259dc4f887b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "a36fc259dc4f887b835a4b3ef41e44b28808022c25d46874af1b6b3c34df58fe"
+    },
+    {
+      "bytes": 44210,
+      "path": "data/dev/pdb/goedel_workbook-000539-0000-c3f8f909483db67e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c3f8f909483db67eb5c711279da3971aac485a6879c4d5339fcea2432a728819"
+    },
+    {
+      "bytes": 45790,
+      "path": "data/internal_test/pdb/goedel_workbook-000539-0000-25e92253b726233c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "25e92253b726233c61bd999f513f54c87a06554b2ac16ed9b2cb084e04fe8214"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000540.json b/manifests/batches/goedel_workbook/000540.json
index ae3b9256c60ea662aaa05c6d8317d179b285012f..0df20539192747126b16087e01dfd7883bd0fc7a 100644
--- a/manifests/batches/goedel_workbook/000540.json
+++ b/manifests/batches/goedel_workbook/000540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000540",
   "batch_fingerprint": "eaa3a8ffd42f76facac61080986bd9be3d8a84504670884ce9f516ea594a9133",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000540-0000-3b7623361437ad74.parquet",
-      "sha256": "3b7623361437ad74e4d0090c4de114acd84e786d5743f2a7fc2e2f9c7178f7da",
-      "bytes": 134521,
-      "rows": 35,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000540-0000-80b192ef90f462a0.parquet",
-      "sha256": "80b192ef90f462a01a7dd06c9f8f74f3ee77129b90b7627c5adf4bdc6640550c",
-      "bytes": 29923,
-      "rows": 1,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000540-0000-ff29433040ffb2bb.parquet",
-      "sha256": "ff29433040ffb2bbbd23f7dddb547ae23c9fa8251bd2377e5dd75a3a0129fcc9",
-      "bytes": 64130,
-      "rows": 7,
-      "revision": "828d0e16bde2a3326f719e15b26bbc4f58a20200"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14041",
     "goedel_workbook:lean_workbook_plus_14058",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013520.lean\",\"67866303fc4f982b620d3b8c606371e20b1c9eb9c2a5a5881dc23e45ace2f679\",0,\"lean_workbook_plus_14137\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013521.lean\",\"6969708004875a08ffe4647943335b7e1977ea4d28324086674bd9ea3c5898d6\",0,\"lean_workbook_plus_14140\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013524.lean\",\"ca327813f84e5e1f2dc0b0cdda2e851b12ada74e66c19378402ea4cc134b3d00\",0,\"lean_workbook_plus_14154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134521,
+      "path": "data/train/p48/goedel_workbook-000540-0000-3b7623361437ad74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "3b7623361437ad74e4d0090c4de114acd84e786d5743f2a7fc2e2f9c7178f7da"
+    },
+    {
+      "bytes": 29923,
+      "path": "data/dev/p48/goedel_workbook-000540-0000-80b192ef90f462a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "80b192ef90f462a01a7dd06c9f8f74f3ee77129b90b7627c5adf4bdc6640550c"
+    },
+    {
+      "bytes": 64130,
+      "path": "data/internal_test/p48/goedel_workbook-000540-0000-ff29433040ffb2bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ff29433040ffb2bbbd23f7dddb547ae23c9fa8251bd2377e5dd75a3a0129fcc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000541.json b/manifests/batches/goedel_workbook/000541.json
index 1f647c32d7a72020b4c1d9efb2eaf1dac052b35b..75d409d0a9546937ba87498f72b85915ab30f866 100644
--- a/manifests/batches/goedel_workbook/000541.json
+++ b/manifests/batches/goedel_workbook/000541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000541",
   "batch_fingerprint": "1f2efd3d7935c6545bae7d3cb14e4ef7078252c9f7b563a247fa7482dec2d552",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000541-0000-4edd7d417ccb59c2.parquet",
-      "sha256": "4edd7d417ccb59c2426ba0fae3026e3e73a20c78f03edc0166b4b8e39fabef15",
-      "bytes": 182695,
-      "rows": 52,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000541-0000-889b72a7aa5814b8.parquet",
-      "sha256": "889b72a7aa5814b8fc28849c658c515647f87a891e5d008a0a915ec2ac6f1387",
-      "bytes": 43041,
-      "rows": 3,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14162",
     "goedel_workbook:lean_workbook_plus_14163",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013543.lean\",\"0638bb52edc758f673f9b1cf6c144275d485b07d72f9d66fedf3c05831d61484\",0,\"lean_workbook_plus_14227\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013545.lean\",\"74fb9b3134a2a4d140aade94d0a93f1ea236fed5bbecb5c18ec3bcf2de5014a3\",0,\"lean_workbook_plus_14231\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013548.lean\",\"0da33e7153b04a979c1c5d9c762d67574dc591cf3347ee4c0c9bf14233b0b846\",0,\"lean_workbook_plus_1424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182695,
+      "path": "data/train/p3b/goedel_workbook-000541-0000-4edd7d417ccb59c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "4edd7d417ccb59c2426ba0fae3026e3e73a20c78f03edc0166b4b8e39fabef15"
+    },
+    {
+      "bytes": 43041,
+      "path": "data/internal_test/p3b/goedel_workbook-000541-0000-889b72a7aa5814b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "889b72a7aa5814b8fc28849c658c515647f87a891e5d008a0a915ec2ac6f1387"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000542.json b/manifests/batches/goedel_workbook/000542.json
index 99ff97ddf38625d3c3c1e0e2d0ce11c67269b038..c357357f51944d0952e81ccfb2eaf19e55596d83 100644
--- a/manifests/batches/goedel_workbook/000542.json
+++ b/manifests/batches/goedel_workbook/000542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000542",
   "batch_fingerprint": "4929e04966d364d05ed38b762e1ecaa646511713ef6a536cca25f4c6e0174703",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000542-0000-f13d279d282939c8.parquet",
-      "sha256": "f13d279d282939c84bf333e9a967de940a4d321ee5269d60a2a56f2fef173a39",
-      "bytes": 99219,
-      "rows": 21,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000542-0000-33195e3d2fd9efff.parquet",
-      "sha256": "33195e3d2fd9effff4e95f09df8e057b0c92ee3c232d775d7a24c522ff6d8e0a",
-      "bytes": 24839,
-      "rows": 1,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000542-0000-5a4beb8cbb190331.parquet",
-      "sha256": "5a4beb8cbb190331cad16d86d02714e586a0674d92509f82554be276f121d872",
-      "bytes": 31873,
-      "rows": 1,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14245",
     "goedel_workbook:lean_workbook_plus_14263",
@@ -264,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013565.lean\",\"1ea72d3cf49bc42720edaa90be506ccc91f25889dbf61550cb6763a44911b806\",0,\"lean_workbook_plus_14321\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013568.lean\",\"e6623f02e4a21df6834c1bba81ca25b5221722007d6a588c052c392f62ebc67f\",0,\"lean_workbook_plus_14339\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013574.lean\",\"fa05242a3d61d64ca3f1f6cdd7a3a811416c42abd4528b73c7237ee8f2f2313f\",0,\"lean_workbook_plus_14358\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99219,
+      "path": "data/train/p56/goedel_workbook-000542-0000-f13d279d282939c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f13d279d282939c84bf333e9a967de940a4d321ee5269d60a2a56f2fef173a39"
+    },
+    {
+      "bytes": 24839,
+      "path": "data/internal_test/p56/goedel_workbook-000542-0000-33195e3d2fd9efff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "33195e3d2fd9effff4e95f09df8e057b0c92ee3c232d775d7a24c522ff6d8e0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000543.json b/manifests/batches/goedel_workbook/000543.json
index 7cb42bf35ab0edda787be5906a8ca95f1f9b8e53..68433423ba9a467df50de3a3a921de60daa41798 100644
--- a/manifests/batches/goedel_workbook/000543.json
+++ b/manifests/batches/goedel_workbook/000543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000543",
   "batch_fingerprint": "adec8a13da5386285c5aa237bf792bdf3f4e2e6b9241639e90ced73e15534976",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000543-0000-9c0e82c34570a8f5.parquet",
-      "sha256": "9c0e82c34570a8f51ccfd60df5b75a6b04eac9b42a514ca45b831a689c7f330c",
-      "bytes": 80501,
-      "rows": 22,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000543-0000-138a87877637cbcb.parquet",
-      "sha256": "138a87877637cbcb1d6931c8e12c93ad0d99995b0968634453f4163c57feb2d4",
-      "bytes": 54100,
-      "rows": 7,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000543-0000-dfbbe5fb9acb8edf.parquet",
-      "sha256": "dfbbe5fb9acb8edf4b38c6fb8747c3ed3b56ce8338c73066528b774dce18dfa5",
-      "bytes": 32605,
-      "rows": 1,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1436",
     "goedel_workbook:lean_workbook_plus_14369",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013596.lean\",\"f1851cfb388e9cd669f74036a207daa6d74c03ecf51365fb40e9bfaaaded9a16\",0,\"lean_workbook_plus_14447\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013597.lean\",\"d61e3b60b051f1ddfef9afe72dda18859b5d6b1d221f098cdb3f8a75c6b1117a\",0,\"lean_workbook_plus_14453\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013598.lean\",\"198967cf2457893c6fe8105af90710b8fe76b8614df5d4416818832e1798805a\",0,\"lean_workbook_plus_14464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80501,
+      "path": "data/train/p61/goedel_workbook-000543-0000-9c0e82c34570a8f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9c0e82c34570a8f51ccfd60df5b75a6b04eac9b42a514ca45b831a689c7f330c"
+    },
+    {
+      "bytes": 54100,
+      "path": "data/dev/p61/goedel_workbook-000543-0000-138a87877637cbcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "138a87877637cbcb1d6931c8e12c93ad0d99995b0968634453f4163c57feb2d4"
+    },
+    {
+      "bytes": 32605,
+      "path": "data/internal_test/p61/goedel_workbook-000543-0000-dfbbe5fb9acb8edf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dfbbe5fb9acb8edf4b38c6fb8747c3ed3b56ce8338c73066528b774dce18dfa5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000544.json b/manifests/batches/goedel_workbook/000544.json
index 5678613ef5443fc1d674862fb635090c08636cd0..135209b0efaf8fa43e475a0d0ec92c283bb13f00 100644
--- a/manifests/batches/goedel_workbook/000544.json
+++ b/manifests/batches/goedel_workbook/000544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000544",
   "batch_fingerprint": "d5926a00e1d3b9a75a11b9ce895a6ed6690bcd1793014b665f90a00cf77cf04f",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000544-0000-acda355556a03b57.parquet",
-      "sha256": "acda355556a03b5756d45b9b48bc7245ed0879c6c9cc20a1e0eac9ca0369a1aa",
-      "bytes": 175046,
-      "rows": 41,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000544-0000-719b9f4113957829.parquet",
-      "sha256": "719b9f41139578290dac460b5050233aaef031b019f3692a4c532411085c452f",
-      "bytes": 32200,
-      "rows": 3,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14468",
     "goedel_workbook:lean_workbook_plus_14471",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013615.lean\",\"44ad8ca0dd262444734b39822c4fc0b01aee26314e45a12d740f37959a7a7e3b\",0,\"lean_workbook_plus_14505\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013618.lean\",\"0d561a329c1937e38098c375d90a7e7d006d12fc3976cae3688ad88c0c46ce08\",0,\"lean_workbook_plus_14517\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013624.lean\",\"779804f732588185e4986cad0908d7347c2db380a859dfc44a6acd6b72a49a36\",0,\"lean_workbook_plus_14540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175046,
+      "path": "data/train/p71/goedel_workbook-000544-0000-acda355556a03b57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "acda355556a03b5756d45b9b48bc7245ed0879c6c9cc20a1e0eac9ca0369a1aa"
+    },
+    {
+      "bytes": 32200,
+      "path": "data/internal_test/p71/goedel_workbook-000544-0000-719b9f4113957829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "719b9f41139578290dac460b5050233aaef031b019f3692a4c532411085c452f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000545.json b/manifests/batches/goedel_workbook/000545.json
index 23e1f92b00b626d7cac6ce3f20b65f393f6a3fdd..ec3458f1c3de1cb57c9db383c09d970b99e5e66c 100644
--- a/manifests/batches/goedel_workbook/000545.json
+++ b/manifests/batches/goedel_workbook/000545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000545",
   "batch_fingerprint": "65f14249987c6317df47a4b0461a86f2fa1e7ff043796a682910d04480691083",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000545-0000-9d69bf4ee6bc6f8c.parquet",
-      "sha256": "9d69bf4ee6bc6f8cf369d1d4949007464315c24df525bfabc8a5a523b4d5a5b9",
-      "bytes": 113415,
-      "rows": 29,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000545-0000-9a3ba3dc774d057d.parquet",
-      "sha256": "9a3ba3dc774d057d971d2aa3fb97c769b79938e152cac448f81d87de97809389",
-      "bytes": 38052,
-      "rows": 2,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14542",
     "goedel_workbook:lean_workbook_plus_14564",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013646.lean\",\"5d0bae679de914257c08054c054d497f642f6e157efe3adacd0d52b49265c42d\",0,\"lean_workbook_plus_14644\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013648.lean\",\"7a967261a7c35b886bad04bcf5515324ca7743199721e8113a1991f05e20f7a7\",0,\"lean_workbook_plus_14656\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013649.lean\",\"3c7ee71e938e4ecfc9dedc4e1d14e1d136ed8b434c56d6617538eadb2a1c0ac8\",0,\"lean_workbook_plus_14658\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113415,
+      "path": "data/train/p0d/goedel_workbook-000545-0000-9d69bf4ee6bc6f8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9d69bf4ee6bc6f8cf369d1d4949007464315c24df525bfabc8a5a523b4d5a5b9"
+    },
+    {
+      "bytes": 38052,
+      "path": "data/internal_test/p0d/goedel_workbook-000545-0000-9a3ba3dc774d057d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9a3ba3dc774d057d971d2aa3fb97c769b79938e152cac448f81d87de97809389"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000546.json b/manifests/batches/goedel_workbook/000546.json
index 8547385abebdff43965e02bf60cf71af0164aaea..873096907d57af92164b472695012187a83fecb0 100644
--- a/manifests/batches/goedel_workbook/000546.json
+++ b/manifests/batches/goedel_workbook/000546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000546",
   "batch_fingerprint": "78a503e327e1de1ddb2f609c0b67e92fc39b9d7158106cfe9b1b6d285693b2b5",
   "evidence": {
@@ -208,15 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000546-0000-1b1ead5a2bfe6dce.parquet",
-      "sha256": "1b1ead5a2bfe6dce17afeca27b51747c172abb3174117db176581648245a9683",
-      "bytes": 155786,
-      "rows": 40,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1466",
     "goedel_workbook:lean_workbook_plus_14665",
@@ -250,5 +241,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013672.lean\",\"30827a4aa82603e03fc12df73348541caf3c98931a65e3423ddb16c2178c895d\",0,\"lean_workbook_plus_14727\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013673.lean\",\"b1c5a6458485e9e9350434ffff05be0e8727f4f94015125a5dcbb67a029254ad\",0,\"lean_workbook_plus_14728\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013674.lean\",\"29194d8e492534b86c3cb427baf02091a4b485be179f801293decbe4bebbfb62\",0,\"lean_workbook_plus_14729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155786,
+      "path": "data/train/pcf/goedel_workbook-000546-0000-1b1ead5a2bfe6dce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "1b1ead5a2bfe6dce17afeca27b51747c172abb3174117db176581648245a9683"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000547.json b/manifests/batches/goedel_workbook/000547.json
index bb12a83992cc4c932920e1b24896b817aa1b22f4..ca6996505bf349c9183b0c89b4f8547611ef6eb4 100644
--- a/manifests/batches/goedel_workbook/000547.json
+++ b/manifests/batches/goedel_workbook/000547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000547",
   "batch_fingerprint": "55373f26eac714d1d71dc0ef3d779facbc898f7ee3c9581a418d8b099e2a49f6",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000547-0000-9c08138c2d62f338.parquet",
-      "sha256": "9c08138c2d62f33871d93df651b25b7bdfdc0d66ba2bbc34693470c765833ff1",
-      "bytes": 262601,
-      "rows": 72,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000547-0000-5029f457179135ef.parquet",
-      "sha256": "5029f457179135ef0037c0a863d4b4c56cc3a48d95bf2b0706e1757ade72e8e1",
-      "bytes": 52102,
-      "rows": 7,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1474",
     "goedel_workbook:lean_workbook_plus_14746",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013694.lean\",\"b63343c6085e86ddcc20da78dcb62b098f62e291190bc13fcb40bf23a38f91cc\",0,\"lean_workbook_plus_14790\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013696.lean\",\"e6b139d60c9b33ac0a0db5dd2f3da1dad556cf737d219ae6ba9d25686abbdbc7\",0,\"lean_workbook_plus_14798\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013698.lean\",\"0edc5ed8d77a13a118a407331118a0bb17aa776105c1ad902ede3f72cae49431\",0,\"lean_workbook_plus_14804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262601,
+      "path": "data/train/p8f/goedel_workbook-000547-0000-9c08138c2d62f338.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 72,
+      "sha256": "9c08138c2d62f33871d93df651b25b7bdfdc0d66ba2bbc34693470c765833ff1"
+    },
+    {
+      "bytes": 52102,
+      "path": "data/internal_test/p8f/goedel_workbook-000547-0000-5029f457179135ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5029f457179135ef0037c0a863d4b4c56cc3a48d95bf2b0706e1757ade72e8e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000548.json b/manifests/batches/goedel_workbook/000548.json
index 3f835970f9889f30ead849f1fabfc32898082c82..cef1bddd405f3fe9b7f734031bd8b0dd29de5d07 100644
--- a/manifests/batches/goedel_workbook/000548.json
+++ b/manifests/batches/goedel_workbook/000548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000548",
   "batch_fingerprint": "ba0954426c2f6fd0e360d517c2da014b91c1c415259da08006cb0ac7d54f1390",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000548-0000-b01bcef8c636f975.parquet",
-      "sha256": "b01bcef8c636f97502dfd312f4b9aa2f58f7a4c603e43fd39b3e24b7768d4fa7",
-      "bytes": 140251,
-      "rows": 35,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000548-0000-b702d8a94f14fdab.parquet",
-      "sha256": "b702d8a94f14fdab02733202d902d1341a889c42246e06c15dca4279d75f0884",
-      "bytes": 39786,
-      "rows": 4,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14819",
     "goedel_workbook:lean_workbook_plus_14820",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013717.lean\",\"ebc1c1fd61e08b0102d0697eb31e0e2f0a1cc5bd29b9b39861d448045d83f4d9\",0,\"lean_workbook_plus_14892\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013719.lean\",\"ae7129e023d837bf1441bd24c44ede04c3a0422a4d24ca53f9588a4f62ad7d91\",0,\"lean_workbook_plus_14910\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013723.lean\",\"0c7d93be240f9a3b192a666b26c953b1e6dbde209080699cd05cd60da2e4d11f\",0,\"lean_workbook_plus_14932\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140251,
+      "path": "data/train/p8b/goedel_workbook-000548-0000-b01bcef8c636f975.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "b01bcef8c636f97502dfd312f4b9aa2f58f7a4c603e43fd39b3e24b7768d4fa7"
+    },
+    {
+      "bytes": 39786,
+      "path": "data/internal_test/p8b/goedel_workbook-000548-0000-b702d8a94f14fdab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b702d8a94f14fdab02733202d902d1341a889c42246e06c15dca4279d75f0884"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000549.json b/manifests/batches/goedel_workbook/000549.json
index 088e3591db114a5ba13c5ab3c3cbbb932d560605..dc0c63201d3b1cb94e507fbd7569f8a5b96ff4ed 100644
--- a/manifests/batches/goedel_workbook/000549.json
+++ b/manifests/batches/goedel_workbook/000549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000549",
   "batch_fingerprint": "e1d9b21859eaee5f220c891997aa6bdd91e2cf00d818883c8d66cad07eed4371",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000549-0000-fffc068d049b4971.parquet",
-      "sha256": "fffc068d049b497161364fab63fd061e961f22b985b1ad889a8eec62507020b3",
-      "bytes": 145911,
-      "rows": 40,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000549-0000-8f4c270612e485c5.parquet",
-      "sha256": "8f4c270612e485c57941dff989b0fb23669d035e1e274432da3b8a4b260002fb",
-      "bytes": 51588,
-      "rows": 14,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_14940",
     "goedel_workbook:lean_workbook_plus_14941",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013747.lean\",\"1234f5021c012267cbe6938f7a8dc19e2b6832e72f7ceb0e5947af8e7113029e\",0,\"lean_workbook_plus_15025\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013748.lean\",\"4e15f65bdfe4b4411a6fd96130fa745db69bc45dcb62b0ea69847ea2cf116388\",0,\"lean_workbook_plus_15027\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013749.lean\",\"79e0065298cb61cef0fef585bc8e15de13e9e53e1dcd5b6a92c26b2fbc2da974\",0,\"lean_workbook_plus_15029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145911,
+      "path": "data/train/p77/goedel_workbook-000549-0000-fffc068d049b4971.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "fffc068d049b497161364fab63fd061e961f22b985b1ad889a8eec62507020b3"
+    },
+    {
+      "bytes": 51588,
+      "path": "data/internal_test/p77/goedel_workbook-000549-0000-8f4c270612e485c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8f4c270612e485c57941dff989b0fb23669d035e1e274432da3b8a4b260002fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000550.json b/manifests/batches/goedel_workbook/000550.json
index d009ad3c7edb27bf02d72977447ca708e5b76f9e..380f9e158dd061a39f3aab3f70306e58ce340eb1 100644
--- a/manifests/batches/goedel_workbook/000550.json
+++ b/manifests/batches/goedel_workbook/000550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000550",
   "batch_fingerprint": "4f83b05e6daf5b4ee97b86be2e2e1efed2fd8597d838cb064c0fbd4fdf49922e",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000550-0000-56767531e9dbb241.parquet",
-      "sha256": "56767531e9dbb241d00d8c807c845413f1b3eb30917903239ce30e8235e9cba8",
-      "bytes": 227100,
-      "rows": 64,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000550-0000-d35c99aa006293fd.parquet",
-      "sha256": "d35c99aa006293fd9fb8ad4ab3fb887a33d83cc7dbdaadac633cedf1ebd2ce82",
-      "bytes": 34813,
-      "rows": 1,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15030",
     "goedel_workbook:lean_workbook_plus_15035",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013770.lean\",\"525be34c3a24935f44c8ec3de447832ce5c272a3988405724172c29f533db48e\",0,\"lean_workbook_plus_15093\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013771.lean\",\"eb6dfb880cbddbafd3eeddba2e2401dd70817f597b2eba2c4ca424d4850f91f9\",0,\"lean_workbook_plus_15094\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013772.lean\",\"e925b5dd19fe8dd29d8c705f21b52abfa29ed149f1260b488f0034a3af623a55\",0,\"lean_workbook_plus_15097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227100,
+      "path": "data/train/p2e/goedel_workbook-000550-0000-56767531e9dbb241.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "56767531e9dbb241d00d8c807c845413f1b3eb30917903239ce30e8235e9cba8"
+    },
+    {
+      "bytes": 34813,
+      "path": "data/internal_test/p2e/goedel_workbook-000550-0000-d35c99aa006293fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d35c99aa006293fd9fb8ad4ab3fb887a33d83cc7dbdaadac633cedf1ebd2ce82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000551.json b/manifests/batches/goedel_workbook/000551.json
index b65be2a6a65de0c7a01d804204269766b16b3e3d..e310a2e4ceedc6ff87e6842412317c37697bafed 100644
--- a/manifests/batches/goedel_workbook/000551.json
+++ b/manifests/batches/goedel_workbook/000551.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000551",
   "batch_fingerprint": "1919c79af110492cff48f466ba1cb68f0aad2085915725c30fa87b02fff0fb6a",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000551-0000-b3eee7459b128c5d.parquet",
-      "sha256": "b3eee7459b128c5dfd0e8da445abd6ed5314c1e7addef4ec2fce3df9ab7528ab",
-      "bytes": 99796,
-      "rows": 30,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000551-0000-1f08f8f4bf4e432a.parquet",
-      "sha256": "1f08f8f4bf4e432a3f1a089074cc3eb6912f4c5d55c28a2765c1280de7612cdb",
-      "bytes": 32888,
-      "rows": 3,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000551-0000-6c277f511210aac1.parquet",
-      "sha256": "6c277f511210aac141a568b7f3aca3c2a74aba46dbbd93c12256dfcf78257535",
-      "bytes": 79682,
-      "rows": 25,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15103",
     "goedel_workbook:lean_workbook_plus_15105",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013797.lean\",\"a469d3edf8c69bf709b16eacd0a17676228d149af14874c71e10a8153e2b5fb5\",0,\"lean_workbook_plus_1519\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013798.lean\",\"139ab6a18fae93a8fb8a214098b813491da2c6a0cd3302fb825d18bc391e1283\",0,\"lean_workbook_plus_15193\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013799.lean\",\"40fa80eced16fd55c1abf3da50c49687df94d0aa58bb1f98170339298c0cef90\",0,\"lean_workbook_plus_1521\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99796,
+      "path": "data/train/p52/goedel_workbook-000551-0000-b3eee7459b128c5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "b3eee7459b128c5dfd0e8da445abd6ed5314c1e7addef4ec2fce3df9ab7528ab"
+    },
+    {
+      "bytes": 32888,
+      "path": "data/dev/p52/goedel_workbook-000551-0000-1f08f8f4bf4e432a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1f08f8f4bf4e432a3f1a089074cc3eb6912f4c5d55c28a2765c1280de7612cdb"
+    },
+    {
+      "bytes": 79682,
+      "path": "data/internal_test/p52/goedel_workbook-000551-0000-6c277f511210aac1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "6c277f511210aac141a568b7f3aca3c2a74aba46dbbd93c12256dfcf78257535"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000552.json b/manifests/batches/goedel_workbook/000552.json
index 8457ee1617dd96e14be46c1e671509bae63f224e..4d08aeff27b290a0b1e9e897af945f8f9bab058e 100644
--- a/manifests/batches/goedel_workbook/000552.json
+++ b/manifests/batches/goedel_workbook/000552.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000552",
   "batch_fingerprint": "d04722ae39b7b58fe011eee7ffcbe8d8a6051933b94d49e44ecb5216f75c76f8",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000552-0000-7fdd032f88e19907.parquet",
-      "sha256": "7fdd032f88e1990782f03a6a0f652009858c4bbf8bdd792c0b06bef00d2fef2b",
-      "bytes": 212321,
-      "rows": 65,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000552-0000-457f081f3b17586f.parquet",
-      "sha256": "457f081f3b17586f5d41ae999d9dc74459166fad46245d5aa9e11a8799dee470",
-      "bytes": 28423,
-      "rows": 1,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000552-0000-79ee195f2e33afe3.parquet",
-      "sha256": "79ee195f2e33afe3d5db38aeb4099a0d9a2bece49c1f39d9f57f117ed8f5079c",
-      "bytes": 34173,
-      "rows": 2,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15219",
     "goedel_workbook:lean_workbook_plus_1522",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013821.lean\",\"717034b7479f6e3ce8bb2042cecfcf4c95984380b6ef1ba2ec5ee2c81025424d\",0,\"lean_workbook_plus_15292\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013823.lean\",\"a0ab63ba41cd638b860fe21aea643aeb4ca353e25d4f2f89c69c979149a3e78f\",0,\"lean_workbook_plus_15300\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013824.lean\",\"67747727123c58f92befccdb91ad0813fdcbf3657fb474e2494edfe61d7aa0b1\",0,\"lean_workbook_plus_15310\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212321,
+      "path": "data/train/p4e/goedel_workbook-000552-0000-7fdd032f88e19907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "7fdd032f88e1990782f03a6a0f652009858c4bbf8bdd792c0b06bef00d2fef2b"
+    },
+    {
+      "bytes": 28423,
+      "path": "data/dev/p4e/goedel_workbook-000552-0000-457f081f3b17586f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "457f081f3b17586f5d41ae999d9dc74459166fad46245d5aa9e11a8799dee470"
+    },
+    {
+      "bytes": 34173,
+      "path": "data/internal_test/p4e/goedel_workbook-000552-0000-79ee195f2e33afe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "79ee195f2e33afe3d5db38aeb4099a0d9a2bece49c1f39d9f57f117ed8f5079c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000553.json b/manifests/batches/goedel_workbook/000553.json
index ff64881d08aab43813d2be01f8105194ce36f3d7..627af85606b929f64a121aced21534f37a1f60f5 100644
--- a/manifests/batches/goedel_workbook/000553.json
+++ b/manifests/batches/goedel_workbook/000553.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000553",
   "batch_fingerprint": "84dc202e237620e7e8dd84019c214c4d8fee4d747c90ee85d27fd3edfb6dc508",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000553-0000-2b5eef54e8cc0a82.parquet",
-      "sha256": "2b5eef54e8cc0a82aa242590441f4e0891bfa74cf5b395290990508ea764c115",
-      "bytes": 198453,
-      "rows": 39,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000553-0000-804b23f9dcc9f17d.parquet",
-      "sha256": "804b23f9dcc9f17df167201fbe8432cd6b6d6d2f6197ec5ce3bf7a140be85b8a",
-      "bytes": 51776,
-      "rows": 2,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15314",
     "goedel_workbook:lean_workbook_plus_15319",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013844.lean\",\"e0b6781ca9d1e80d578e0ac2f6be11e2aff765d0670f76dff6f961ef01f944cb\",0,\"lean_workbook_plus_15376\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013848.lean\",\"f511724000f4119e45ca9e421af9eade43ab80515440c7c4525e893a7af40894\",0,\"lean_workbook_plus_1539\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013849.lean\",\"8986ade21cdea6fedb5c285bce3b05ffa6c12ff52514386b59836e5bd487b4c9\",0,\"lean_workbook_plus_15392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198453,
+      "path": "data/train/pfd/goedel_workbook-000553-0000-2b5eef54e8cc0a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "2b5eef54e8cc0a82aa242590441f4e0891bfa74cf5b395290990508ea764c115"
+    },
+    {
+      "bytes": 51776,
+      "path": "data/internal_test/pfd/goedel_workbook-000553-0000-804b23f9dcc9f17d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "804b23f9dcc9f17df167201fbe8432cd6b6d6d2f6197ec5ce3bf7a140be85b8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000554.json b/manifests/batches/goedel_workbook/000554.json
index 1a0af32edb1d317b180be26f9c466a956876e80d..311ea8a93baf29c4d6428bfb870f450c50ced73a 100644
--- a/manifests/batches/goedel_workbook/000554.json
+++ b/manifests/batches/goedel_workbook/000554.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000554",
   "batch_fingerprint": "edc58526604f66d308f6a4fd69d16a14146c2bf20bd6666c6623e5bf3dcae508",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000554-0000-d21ead75bdb9be50.parquet",
-      "sha256": "d21ead75bdb9be50585ebe9654eabb44f1c7f38a6af1b925e29223caef57dbd3",
-      "bytes": 122162,
-      "rows": 29,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15400",
     "goedel_workbook:lean_workbook_plus_15404",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013872.lean\",\"bf586423507de13f50593bd00b37cb4d3473d32e82bac42b8e3a63b39bd1cf22\",0,\"lean_workbook_plus_15515\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013873.lean\",\"49d9f85213ac822e995ab2868b5186bf5ca149c830d5a43997d890dc22bfb745\",0,\"lean_workbook_plus_15516\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013874.lean\",\"7bb933fbc8bd1f8782797cae65d3ff13e03a5c5848ea66876d19ac34d727df9a\",0,\"lean_workbook_plus_15518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122162,
+      "path": "data/train/p2b/goedel_workbook-000554-0000-d21ead75bdb9be50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d21ead75bdb9be50585ebe9654eabb44f1c7f38a6af1b925e29223caef57dbd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000555.json b/manifests/batches/goedel_workbook/000555.json
index aaefd7474fec915c1db58328a0ca2d2e6ab0366a..51f314fa1bf8891140b4bc0b2f30bed5cdc4566a 100644
--- a/manifests/batches/goedel_workbook/000555.json
+++ b/manifests/batches/goedel_workbook/000555.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000555",
   "batch_fingerprint": "cc59d402217171eeac0cd5e56760b33e2e4a2a200f3e9212fe56c29c3b8934f0",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000555-0000-15888c0d2714556c.parquet",
-      "sha256": "15888c0d2714556ced706a11b90e264dacf654bba5de691783467c0943ee7e4b",
-      "bytes": 115942,
-      "rows": 29,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000555-0000-ff38faf50b810db4.parquet",
-      "sha256": "ff38faf50b810db476f67886a255b105dcd8532c1897a87c00aa97470569c6a7",
-      "bytes": 47647,
-      "rows": 6,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15519",
     "goedel_workbook:lean_workbook_plus_15528",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013896.lean\",\"5ce9a81e10349142eaee36ddf0f09388ed8f7a07d9f336d4243b41c9b7112dc6\",0,\"lean_workbook_plus_15620\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013897.lean\",\"9a0977fa4b711ad336b8490ba3a6dd29948a0d05f1fea5ffd332f09da2d3b1bd\",0,\"lean_workbook_plus_15622\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013899.lean\",\"46f9cbd3c157e8f1a380557fc4e87c82aac7c3dccc2146fb9916a6f093651b85\",0,\"lean_workbook_plus_15629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115942,
+      "path": "data/train/p59/goedel_workbook-000555-0000-15888c0d2714556c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "15888c0d2714556ced706a11b90e264dacf654bba5de691783467c0943ee7e4b"
+    },
+    {
+      "bytes": 47647,
+      "path": "data/internal_test/p59/goedel_workbook-000555-0000-ff38faf50b810db4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ff38faf50b810db476f67886a255b105dcd8532c1897a87c00aa97470569c6a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000556.json b/manifests/batches/goedel_workbook/000556.json
index a7aecc8669c8bdac8b4e1d3f7c87ff66a631d11d..7b0b95b4544deadf77d874c1f8063bd75922d238 100644
--- a/manifests/batches/goedel_workbook/000556.json
+++ b/manifests/batches/goedel_workbook/000556.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000556",
   "batch_fingerprint": "77d43cfc98ede77d1b0df1ec33f59df1273a85a00cd0f242a0d362d8d606e40f",
   "evidence": {
@@ -298,29 +297,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000556-0000-1770c06804d61ecc.parquet",
-      "sha256": "1770c06804d61eccbf8182ef8700544bb888f53c6a78a90968161f54ec03aa42",
-      "bytes": 66879,
-      "rows": 14,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000556-0000-32502e9e89b5e4b3.parquet",
-      "sha256": "32502e9e89b5e4b31f9f452ee8b0d7e030e711b78ab62b8ffc6839dfd102796f",
-      "bytes": 32760,
-      "rows": 2,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000556-0000-5fe241e2f9a37539.parquet",
-      "sha256": "5fe241e2f9a37539deba1621c2bec47ce89afe851e20d5359ab50d9201ab678e",
-      "bytes": 40570,
-      "rows": 4,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1563",
     "goedel_workbook:lean_workbook_plus_15642",
@@ -344,5 +321,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013915.lean\",\"52ae0ee93213d51ebb8723ff15050ecad1543ab2aea424c1c1ad0125113eab3b\",0,\"lean_workbook_plus_15692\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013921.lean\",\"b82f163244e417387c9d7800480da27ef6b7e0aa9c17dfe12d4e969109a30f8c\",0,\"lean_workbook_plus_1571\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013922.lean\",\"a6eb0b5f9e3103a4055b63d7c21a0a28a9854f65b41c7faa3b6a32644b62fdb3\",0,\"lean_workbook_plus_15715\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66879,
+      "path": "data/train/p9f/goedel_workbook-000556-0000-1770c06804d61ecc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1770c06804d61eccbf8182ef8700544bb888f53c6a78a90968161f54ec03aa42"
+    },
+    {
+      "bytes": 32760,
+      "path": "data/dev/p9f/goedel_workbook-000556-0000-32502e9e89b5e4b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "32502e9e89b5e4b31f9f452ee8b0d7e030e711b78ab62b8ffc6839dfd102796f"
+    },
+    {
+      "bytes": 40570,
+      "path": "data/internal_test/p9f/goedel_workbook-000556-0000-5fe241e2f9a37539.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5fe241e2f9a37539deba1621c2bec47ce89afe851e20d5359ab50d9201ab678e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000557.json b/manifests/batches/goedel_workbook/000557.json
index a337181c305e00c29cdf94e0339593d756f9d736..319cbd794a567f3c5644c10c2e6c6e5867aa40c8 100644
--- a/manifests/batches/goedel_workbook/000557.json
+++ b/manifests/batches/goedel_workbook/000557.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000557",
   "batch_fingerprint": "ebf558e5f4cdbef950969daf1230a4f47e9d677569855e05e542eb694d838190",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000557-0000-98f7c353690166d7.parquet",
-      "sha256": "98f7c353690166d7a4ad7732c978dbaf4951a44581df695dbc3c439b3b5ec89e",
-      "bytes": 123997,
-      "rows": 25,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000557-0000-e0faef3ff4fd4206.parquet",
-      "sha256": "e0faef3ff4fd4206aff24e673c3e75f8cc56e77ade5d36dad21cb655723bc3d2",
-      "bytes": 51802,
-      "rows": 9,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15729",
     "goedel_workbook:lean_workbook_plus_1575",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013945.lean\",\"47eb9c1447305a8bd2710b8688c055b83d4fa9c5e6a94037ea8eac0652b96b7e\",0,\"lean_workbook_plus_15806\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013946.lean\",\"718c2b0bf598a969b0477ece515b24dc1dd2b67a2e9566590f95b2d6164e47e7\",0,\"lean_workbook_plus_15807\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013949.lean\",\"e582c880f84dd84caf80e0be4c395e50a88d2d3c26f4ec74c04d3e5ca4e4f0e5\",0,\"lean_workbook_plus_1582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123997,
+      "path": "data/train/pc7/goedel_workbook-000557-0000-98f7c353690166d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "98f7c353690166d7a4ad7732c978dbaf4951a44581df695dbc3c439b3b5ec89e"
+    },
+    {
+      "bytes": 51802,
+      "path": "data/internal_test/pc7/goedel_workbook-000557-0000-e0faef3ff4fd4206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e0faef3ff4fd4206aff24e673c3e75f8cc56e77ade5d36dad21cb655723bc3d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000558.json b/manifests/batches/goedel_workbook/000558.json
index 3c55bb2013051023dab2af1c9faa987c5cbfc552..56035572d956c2fd0d40ae96a53f1bb12920af5a 100644
--- a/manifests/batches/goedel_workbook/000558.json
+++ b/manifests/batches/goedel_workbook/000558.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000558",
   "batch_fingerprint": "3bc1a868970b040b976393d1aad8bc050c13cca16bbb1440f062bf8b436306a0",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000558-0000-1a786e0b0c37dca6.parquet",
-      "sha256": "1a786e0b0c37dca6c34bfe3a26aecc7c15f66b0c497df94b2a0c247f60f0b19d",
-      "bytes": 186416,
-      "rows": 57,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000558-0000-99dd681c928e337f.parquet",
-      "sha256": "99dd681c928e337faf9e795e03a081465ff87e5f747604e7de660dd41ac5ab51",
-      "bytes": 34286,
-      "rows": 2,
-      "revision": "7dacabad95dc5a6fbcb622386bce83d4e759e6ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15822",
     "goedel_workbook:lean_workbook_plus_15833",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013972.lean\",\"d586996948904a7b3c200243afc423523c1ea834c8cce790f7a582e38bbfc7ac\",0,\"lean_workbook_plus_15898\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013973.lean\",\"74b7fee2ed55cc2f2e398c8c24d4bdc00fa614ecc0b5dad4942d13ba25eead1a\",0,\"lean_workbook_plus_15901\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013974.lean\",\"205d3c180e5221d597fc6e8d8b49bc85a5d6c83911bec9209420df30f725eb91\",0,\"lean_workbook_plus_15911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186416,
+      "path": "data/train/p86/goedel_workbook-000558-0000-1a786e0b0c37dca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "1a786e0b0c37dca6c34bfe3a26aecc7c15f66b0c497df94b2a0c247f60f0b19d"
+    },
+    {
+      "bytes": 34286,
+      "path": "data/dev/p86/goedel_workbook-000558-0000-99dd681c928e337f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "99dd681c928e337faf9e795e03a081465ff87e5f747604e7de660dd41ac5ab51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000559.json b/manifests/batches/goedel_workbook/000559.json
index cbcef9334c24c4ff889244ea8f5c13c8163f0f6a..aff5c999ed3d867cc0e9d112d0f08fc80cd250af 100644
--- a/manifests/batches/goedel_workbook/000559.json
+++ b/manifests/batches/goedel_workbook/000559.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000559",
   "batch_fingerprint": "977d2dae9211e7588ae139f03e6b5eab5e97b1479c1af79b319f7e731969858b",
   "evidence": {
@@ -145,15 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000559-0000-405dd60df0ffccba.parquet",
-      "sha256": "405dd60df0ffccbaaa15e414fe2175fdfd598737c6003ae4e63597138b54f66b",
-      "bytes": 155076,
-      "rows": 45,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_15912",
     "goedel_workbook:lean_workbook_plus_15914",
@@ -193,5 +184,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013995.lean\",\"2b7bb7471c2580bf4615fe93f324528f92da3ce37cef8d917e3a245ee200a05f\",0,\"lean_workbook_plus_16006\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013996.lean\",\"9699bd8ce0569b1faa5115eef2fd2447ed21c4f0523c4a948e225fea490b9bdd\",0,\"lean_workbook_plus_16007\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_013998.lean\",\"e2cb457db8d2768a4d14f956dda2c1b39fb505b4684fe7ea9e03f8c32d0beac1\",0,\"lean_workbook_plus_1602\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155076,
+      "path": "data/train/pb6/goedel_workbook-000559-0000-405dd60df0ffccba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "405dd60df0ffccbaaa15e414fe2175fdfd598737c6003ae4e63597138b54f66b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000560.json b/manifests/batches/goedel_workbook/000560.json
index 283a115068d649545c9017b52b6f93537b7b1b95..d5ee6afcc588ca96e91b3182a5890c5dd55f7621 100644
--- a/manifests/batches/goedel_workbook/000560.json
+++ b/manifests/batches/goedel_workbook/000560.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000560",
   "batch_fingerprint": "4b500196e2aa0735b66424f9e51d1c5710f565324548f104a1102a0dda58e69d",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000560-0000-18fa361659b29d19.parquet",
-      "sha256": "18fa361659b29d1913eb04d12ebe99dc11d9e7aa3afa970052b394ddbde32236",
-      "bytes": 239743,
-      "rows": 44,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000560-0000-29ef56346a973b3c.parquet",
-      "sha256": "29ef56346a973b3c4bc530b012e0bd75512fc471fd2b0d3dcaa4122032b1927d",
-      "bytes": 35283,
-      "rows": 2,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1603",
     "goedel_workbook:lean_workbook_plus_16035",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014022.lean\",\"5d88c7d0420cf53feb0d0dd5f8641fb7d54f9dfd9dd96206b11f140c01420697\",0,\"lean_workbook_plus_16129\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014023.lean\",\"c5f4b6103a1da7b7da74b2f58cd25f341cdaa46bde3a6f246de3281f3fe59a91\",0,\"lean_workbook_plus_1614\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014024.lean\",\"b93568e59f4a662c0523211237ac291cdbca092cf042f45c575c58f1ff555652\",0,\"lean_workbook_plus_16144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239743,
+      "path": "data/train/pee/goedel_workbook-000560-0000-18fa361659b29d19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "18fa361659b29d1913eb04d12ebe99dc11d9e7aa3afa970052b394ddbde32236"
+    },
+    {
+      "bytes": 35283,
+      "path": "data/internal_test/pee/goedel_workbook-000560-0000-29ef56346a973b3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29ef56346a973b3c4bc530b012e0bd75512fc471fd2b0d3dcaa4122032b1927d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000561.json b/manifests/batches/goedel_workbook/000561.json
index 3ab42c69376c63c3a30464f0cfdb18c2044d8a12..4d59fa36329b7cd317d80d33eb39fc3e93903435 100644
--- a/manifests/batches/goedel_workbook/000561.json
+++ b/manifests/batches/goedel_workbook/000561.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000561",
   "batch_fingerprint": "984fbfc5bd9b54614a5b505670c8e05aaae0e926eec4531ddba9969e2da60623",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000561-0000-99ff101690cd60f0.parquet",
-      "sha256": "99ff101690cd60f092802e3f878dc73e451d68c785da8e4866cc628ba272524c",
-      "bytes": 363814,
-      "rows": 57,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000561-0000-3ccf9aa9ed444e01.parquet",
-      "sha256": "3ccf9aa9ed444e01f7c1a7c19ddc9d26d91da3aa83973cb5ed8b88d9e35322ce",
-      "bytes": 44598,
-      "rows": 3,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000561-0000-e40734fc16298aaf.parquet",
-      "sha256": "e40734fc16298aaf3ed35a81c49924039643a78a1a69aab5eb23ad93b56908c3",
-      "bytes": 38000,
-      "rows": 3,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16152",
     "goedel_workbook:lean_workbook_plus_16163",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014046.lean\",\"afb75211ea6e7c536a5ce32f3dad1ec9f72b4133d32df12eaaea3294ad8e4826\",0,\"lean_workbook_plus_1623\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014047.lean\",\"f340fb641e2cea3c26424d24b65b3a119bb6e2ab4979613681ef71e14eec8c4b\",0,\"lean_workbook_plus_16234\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014049.lean\",\"35c2229cd413a57a8a696ad52d1168980cd28720d243e222cfdb3a299a1df9de\",0,\"lean_workbook_plus_16240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363814,
+      "path": "data/train/pe4/goedel_workbook-000561-0000-99ff101690cd60f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "99ff101690cd60f092802e3f878dc73e451d68c785da8e4866cc628ba272524c"
+    },
+    {
+      "bytes": 44598,
+      "path": "data/dev/pe4/goedel_workbook-000561-0000-3ccf9aa9ed444e01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3ccf9aa9ed444e01f7c1a7c19ddc9d26d91da3aa83973cb5ed8b88d9e35322ce"
+    },
+    {
+      "bytes": 38000,
+      "path": "data/internal_test/pe4/goedel_workbook-000561-0000-e40734fc16298aaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e40734fc16298aaf3ed35a81c49924039643a78a1a69aab5eb23ad93b56908c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000562.json b/manifests/batches/goedel_workbook/000562.json
index 73b7a0fafdec257a817db57726103c654d863deb..f51a959ee6b4056868f89711441fc011ffa3cbaf 100644
--- a/manifests/batches/goedel_workbook/000562.json
+++ b/manifests/batches/goedel_workbook/000562.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000562",
   "batch_fingerprint": "fc6a7e236e3cc9beafa75598391d95c48e0efb6208b2be2f46c3f7488873e219",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000562-0000-4601726af2216484.parquet",
-      "sha256": "4601726af221648406f6043d9d745c1b39353ad4a6506ce51848a5b9f2e615eb",
-      "bytes": 142246,
-      "rows": 34,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000562-0000-2c70136caeae5ceb.parquet",
-      "sha256": "2c70136caeae5ceb7655ca12ac71d0bfba260034182278a822134454710c4463",
-      "bytes": 33092,
-      "rows": 2,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000562-0000-72420067318af725.parquet",
-      "sha256": "72420067318af7250fe3ff990667fd09def1b4e5fe1d8798e2a8c30ee1997da7",
-      "bytes": 30844,
-      "rows": 2,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16243",
     "goedel_workbook:lean_workbook_plus_16245",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014072.lean\",\"a7c938e78c5c5f55a8aeefe02ba22a2a13ad47a2028a58ae2463ffb901b71d3c\",0,\"lean_workbook_plus_16311\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014073.lean\",\"75290f679c2fd76766f3fdd0c4dc81a7c3dbcd43b91e9dc0304de83118d4dae0\",0,\"lean_workbook_plus_16312\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014074.lean\",\"3dc32798a07ab51b22152b92b6036a3f4fed00e357b4bed5b07b7015563d06fd\",0,\"lean_workbook_plus_16315\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142246,
+      "path": "data/train/p8e/goedel_workbook-000562-0000-4601726af2216484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "4601726af221648406f6043d9d745c1b39353ad4a6506ce51848a5b9f2e615eb"
+    },
+    {
+      "bytes": 33092,
+      "path": "data/dev/p8e/goedel_workbook-000562-0000-2c70136caeae5ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2c70136caeae5ceb7655ca12ac71d0bfba260034182278a822134454710c4463"
+    },
+    {
+      "bytes": 30844,
+      "path": "data/internal_test/p8e/goedel_workbook-000562-0000-72420067318af725.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "72420067318af7250fe3ff990667fd09def1b4e5fe1d8798e2a8c30ee1997da7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000563.json b/manifests/batches/goedel_workbook/000563.json
index 67ee03688c7f8ed66eb08c681636bd05bb0eecbc..cf8a63efbb21e5b261433f93589ed847d0cdb71a 100644
--- a/manifests/batches/goedel_workbook/000563.json
+++ b/manifests/batches/goedel_workbook/000563.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000563",
   "batch_fingerprint": "2b4f94401423de915fd782560aaf2b37ac3246343c0a32aba31a203bef57210b",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000563-0000-0e54e1f02eb3de04.parquet",
-      "sha256": "0e54e1f02eb3de040e5663260969bdb0af98776aaab10fd6520f7884cc1c8eb2",
-      "bytes": 144189,
-      "rows": 33,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000563-0000-dc72e495b4947dc3.parquet",
-      "sha256": "dc72e495b4947dc379eab553dec24730f16f3728bbf1a4b98be0c989c797d70f",
-      "bytes": 47211,
-      "rows": 5,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000563-0000-315f4eba3386ee58.parquet",
-      "sha256": "315f4eba3386ee58dbe6852a153d7c9e958d4a9b82eedd0268f0adf06091effd",
-      "bytes": 41766,
-      "rows": 5,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16316",
     "goedel_workbook:lean_workbook_plus_16324",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014096.lean\",\"3bbfdc46a18a2be277d25f10efc79ea1ceca788dae3c320ea764f607791cc064\",0,\"lean_workbook_plus_16418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014098.lean\",\"229e1abbd77ed7bdc1e76131917477e4d760a97de6e4007152531f969329c795\",0,\"lean_workbook_plus_16433\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014099.lean\",\"afe0067455cd4a4d74e2004df2767be661866c8eb9d32359af98541468467868\",0,\"lean_workbook_plus_16437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144189,
+      "path": "data/train/p43/goedel_workbook-000563-0000-0e54e1f02eb3de04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0e54e1f02eb3de040e5663260969bdb0af98776aaab10fd6520f7884cc1c8eb2"
+    },
+    {
+      "bytes": 47211,
+      "path": "data/dev/p43/goedel_workbook-000563-0000-dc72e495b4947dc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dc72e495b4947dc379eab553dec24730f16f3728bbf1a4b98be0c989c797d70f"
+    },
+    {
+      "bytes": 41766,
+      "path": "data/internal_test/p43/goedel_workbook-000563-0000-315f4eba3386ee58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "315f4eba3386ee58dbe6852a153d7c9e958d4a9b82eedd0268f0adf06091effd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000564.json b/manifests/batches/goedel_workbook/000564.json
index a12bc5076f4677fb4dc410d018da611e6821ac06..675a1427db88316f42337f80422f743b23bcd47c 100644
--- a/manifests/batches/goedel_workbook/000564.json
+++ b/manifests/batches/goedel_workbook/000564.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000564",
   "batch_fingerprint": "e21c201e60f7a93595fefbcff6065a39703779693a57d37f4b6a1bb1d72afc31",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000564-0000-2f6e6d66d5b0f94d.parquet",
-      "sha256": "2f6e6d66d5b0f94d0e420c8702939abaa2391f09686b6e8e6b48af8d17eacd5b",
-      "bytes": 193756,
-      "rows": 44,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000564-0000-7bec437c062ee3cb.parquet",
-      "sha256": "7bec437c062ee3cb9ad940aeb870a0a3ee10ff24cabe70d1a753b9d54797a47c",
-      "bytes": 35601,
-      "rows": 3,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000564-0000-948a2ccea94b4eae.parquet",
-      "sha256": "948a2ccea94b4eae3ce53634ad5641089d679b9482919acc61283f5b2e7daadc",
-      "bytes": 78171,
-      "rows": 17,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16446",
     "goedel_workbook:lean_workbook_plus_16463",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014122.lean\",\"5adfa1c5530599b4fb3d24f145588b606036516a807aeee2d3f8b51e27fce09a\",0,\"lean_workbook_plus_16533\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014123.lean\",\"15f9882c3b8b2a50d044e0acf1ff61203892362cf6fe9da3d9c49d6646a3d074\",0,\"lean_workbook_plus_16535\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014124.lean\",\"8700442daf4c93ef80c32dcee7e9abace2cd14953cea63ebdbdfc36d41304526\",0,\"lean_workbook_plus_16536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193756,
+      "path": "data/train/p8a/goedel_workbook-000564-0000-2f6e6d66d5b0f94d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "2f6e6d66d5b0f94d0e420c8702939abaa2391f09686b6e8e6b48af8d17eacd5b"
+    },
+    {
+      "bytes": 35601,
+      "path": "data/dev/p8a/goedel_workbook-000564-0000-7bec437c062ee3cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7bec437c062ee3cb9ad940aeb870a0a3ee10ff24cabe70d1a753b9d54797a47c"
+    },
+    {
+      "bytes": 78171,
+      "path": "data/internal_test/p8a/goedel_workbook-000564-0000-948a2ccea94b4eae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "948a2ccea94b4eae3ce53634ad5641089d679b9482919acc61283f5b2e7daadc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000565.json b/manifests/batches/goedel_workbook/000565.json
index 2240d9174e81a36dabdbb1a76ed2552ff7ae1be5..b1be0fa795af5a126386f85c14544a3f7254419e 100644
--- a/manifests/batches/goedel_workbook/000565.json
+++ b/manifests/batches/goedel_workbook/000565.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000565",
   "batch_fingerprint": "079280a7638bd2a9dffb55a682873fde36ea095e88347679eccc52f9c6f863f3",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000565-0000-a392f851ed943066.parquet",
-      "sha256": "a392f851ed943066ec65460ef9b39fbffe3bff5f3c87b3ab068ed77eb35914d5",
-      "bytes": 213314,
-      "rows": 54,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000565-0000-d2b23dfa5969da60.parquet",
-      "sha256": "d2b23dfa5969da60a2247dbf697f828ca0d5d809d643966867a044093fc2b7c4",
-      "bytes": 31718,
-      "rows": 1,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000565-0000-9679d35febcd4962.parquet",
-      "sha256": "9679d35febcd4962d9316aeb801c4253019b69a4eb999e236ab76d82cb202800",
-      "bytes": 33844,
-      "rows": 1,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16538",
     "goedel_workbook:lean_workbook_plus_16558",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014147.lean\",\"5b8f6e267dda2dec08a971560ba7aec5914a00f7b0a1152982619a3180d6d47e\",0,\"lean_workbook_plus_1665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014148.lean\",\"945d72c30fccef35caa102fe096263ad2a922befe4ad86a99ad7fdd3875872fb\",0,\"lean_workbook_plus_16652\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014149.lean\",\"498a5c0fe160d0e6d3969f8604bbc4cddd5b44239a774a6212e52dc4816de80a\",0,\"lean_workbook_plus_16659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213314,
+      "path": "data/train/p46/goedel_workbook-000565-0000-a392f851ed943066.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "a392f851ed943066ec65460ef9b39fbffe3bff5f3c87b3ab068ed77eb35914d5"
+    },
+    {
+      "bytes": 31718,
+      "path": "data/dev/p46/goedel_workbook-000565-0000-d2b23dfa5969da60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d2b23dfa5969da60a2247dbf697f828ca0d5d809d643966867a044093fc2b7c4"
+    },
+    {
+      "bytes": 33844,
+      "path": "data/internal_test/p46/goedel_workbook-000565-0000-9679d35febcd4962.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9679d35febcd4962d9316aeb801c4253019b69a4eb999e236ab76d82cb202800"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000566.json b/manifests/batches/goedel_workbook/000566.json
index 41bd1460aa1970b74d55af7557e865adefd78e3e..0888171db99b2984823c9c1adf009787e331db0e 100644
--- a/manifests/batches/goedel_workbook/000566.json
+++ b/manifests/batches/goedel_workbook/000566.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000566",
   "batch_fingerprint": "9d8fb9b5740055eef8d731c80fd28a58136328b8666774ae84a650892c319a93",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000566-0000-654097b705e747f7.parquet",
-      "sha256": "654097b705e747f711e89e4859899293307a2bf67b7c88daf180867d5eb25282",
-      "bytes": 94760,
-      "rows": 26,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000566-0000-0956f5d569474955.parquet",
-      "sha256": "0956f5d56947495502cf21a13fe6f7c9e55edb4ffa203208f9719f7a04c03f9f",
-      "bytes": 38853,
-      "rows": 3,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1666",
     "goedel_workbook:lean_workbook_plus_16664",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014171.lean\",\"b2f81c101b9eda5afa435ca69cfa2134cd188ae7b602f243c3e9f73765b5d571\",0,\"lean_workbook_plus_1673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014172.lean\",\"298141b02106a791c28a74a355651f4178b0cf5584ec13ebf84dff31cadd3bff\",0,\"lean_workbook_plus_16733\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014173.lean\",\"26c5f1c86715d4fde4a8c86858931e63c36b87b08079bfe5a5d6deae81252908\",0,\"lean_workbook_plus_16738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94760,
+      "path": "data/train/pf9/goedel_workbook-000566-0000-654097b705e747f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "654097b705e747f711e89e4859899293307a2bf67b7c88daf180867d5eb25282"
+    },
+    {
+      "bytes": 38853,
+      "path": "data/internal_test/pf9/goedel_workbook-000566-0000-0956f5d569474955.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0956f5d56947495502cf21a13fe6f7c9e55edb4ffa203208f9719f7a04c03f9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000567.json b/manifests/batches/goedel_workbook/000567.json
index d412b62af6fd4d9a24b68fd859492ea471d02c6f..aa6e0b246abb1f8e8f37d9ab5874d5aefe0da8a0 100644
--- a/manifests/batches/goedel_workbook/000567.json
+++ b/manifests/batches/goedel_workbook/000567.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000567",
   "batch_fingerprint": "49a0373a3ae890e02e02f924b3fd7a88a784a21bcdfa5c0169401f2ee4e67119",
   "evidence": {
@@ -73,29 +72,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000567-0000-2f3c52269e642bfe.parquet",
-      "sha256": "2f3c52269e642bfef26cd9f6104eeb014668077c5e483de98c4bd042cd737204",
-      "bytes": 153698,
-      "rows": 34,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000567-0000-749eb3e58818bcdd.parquet",
-      "sha256": "749eb3e58818bcdd2dfa6b049614b09b62225e2064fdabc5b02aeafcb526b148",
-      "bytes": 41399,
-      "rows": 5,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000567-0000-32ff061ac2bff535.parquet",
-      "sha256": "32ff061ac2bff53597c063e326e4520916c2de375eb33d874e26095ecd6a8fd3",
-      "bytes": 116656,
-      "rows": 19,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1674",
     "goedel_workbook:lean_workbook_plus_16742",
@@ -143,5 +120,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014197.lean\",\"dea020b14bc018d313e3d223c721c43729aef13692402ef784e7d3fe8eb1a788\",0,\"lean_workbook_plus_16830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014198.lean\",\"f1d191ff762743bfb07e83f2469dccffd0131d6e14b08d8ab72ae3ed9eba72b4\",0,\"lean_workbook_plus_16831\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014199.lean\",\"55ad63332d786e9fc8e91fa2b0705fc47d93f6be5f4ee5bcfd79777da7a09dfa\",0,\"lean_workbook_plus_16832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153698,
+      "path": "data/train/p62/goedel_workbook-000567-0000-2f3c52269e642bfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "2f3c52269e642bfef26cd9f6104eeb014668077c5e483de98c4bd042cd737204"
+    },
+    {
+      "bytes": 41399,
+      "path": "data/dev/p62/goedel_workbook-000567-0000-749eb3e58818bcdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "749eb3e58818bcdd2dfa6b049614b09b62225e2064fdabc5b02aeafcb526b148"
+    },
+    {
+      "bytes": 116656,
+      "path": "data/internal_test/p62/goedel_workbook-000567-0000-32ff061ac2bff535.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "32ff061ac2bff53597c063e326e4520916c2de375eb33d874e26095ecd6a8fd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000568.json b/manifests/batches/goedel_workbook/000568.json
index 15fc13c95046131940cdc55a6a3b35942db50b31..72d2cc7fe9ed5baeabadcf38b769689e5917c871 100644
--- a/manifests/batches/goedel_workbook/000568.json
+++ b/manifests/batches/goedel_workbook/000568.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000568",
   "batch_fingerprint": "1fd8027e04e800209ca56365a0caf536b0438795966be306c6396f7d44445825",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000568-0000-b2434b508beee45c.parquet",
-      "sha256": "b2434b508beee45c585d1fd990a69a6e40a197942f19cbb8436ae252e51b98a0",
-      "bytes": 128142,
-      "rows": 30,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000568-0000-ef35578dcbe19b1a.parquet",
-      "sha256": "ef35578dcbe19b1aea6d3630f29a9d5a3ba9e054f16f7fac9222f1963c1d0462",
-      "bytes": 32785,
-      "rows": 3,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000568-0000-8262873a67005542.parquet",
-      "sha256": "8262873a670055424fb9248e625a215972d6451c829c80b95bb7ee36f62d146e",
-      "bytes": 44530,
-      "rows": 4,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16843",
     "goedel_workbook:lean_workbook_plus_16860",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014221.lean\",\"b19ed872173b4234c74dcd75a268f3d5a9aba4b213fb734a2abbaffa4e6b24a7\",0,\"lean_workbook_plus_16937\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014222.lean\",\"dcfff94fc79cc20a619a844d84840c88140cef6cd597be515707c0c9e7fbd97a\",0,\"lean_workbook_plus_16938\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014224.lean\",\"fff1a832ec072b74f8ee8f90bf206d13cd95e8cb5632ec913607bddbfd35d466\",0,\"lean_workbook_plus_1695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128142,
+      "path": "data/train/p5a/goedel_workbook-000568-0000-b2434b508beee45c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "b2434b508beee45c585d1fd990a69a6e40a197942f19cbb8436ae252e51b98a0"
+    },
+    {
+      "bytes": 32785,
+      "path": "data/dev/p5a/goedel_workbook-000568-0000-ef35578dcbe19b1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ef35578dcbe19b1aea6d3630f29a9d5a3ba9e054f16f7fac9222f1963c1d0462"
+    },
+    {
+      "bytes": 44530,
+      "path": "data/internal_test/p5a/goedel_workbook-000568-0000-8262873a67005542.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8262873a670055424fb9248e625a215972d6451c829c80b95bb7ee36f62d146e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000569.json b/manifests/batches/goedel_workbook/000569.json
index e719ec8ff6eb981535aa83ea69de9232434b0133..8f585e0eccd8f97947a3fe3a47fc16ff2714209c 100644
--- a/manifests/batches/goedel_workbook/000569.json
+++ b/manifests/batches/goedel_workbook/000569.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000569",
   "batch_fingerprint": "b10553f42458d48c191ac3bac50d05a8ea80f8bc7d537717a038be6781dbeab6",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000569-0000-6ee4e2011b323102.parquet",
-      "sha256": "6ee4e2011b3231025f94732bf6b10a82dd91c209e529f506f316f01a93085e1b",
-      "bytes": 207944,
-      "rows": 45,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000569-0000-fac7c0e251dc6dd6.parquet",
-      "sha256": "fac7c0e251dc6dd63d95a057e33fea8e3d3caee841ac04e7e7921457f24488e5",
-      "bytes": 45972,
-      "rows": 1,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000569-0000-797cc31f6b30b6cf.parquet",
-      "sha256": "797cc31f6b30b6cf5003fdd88711762c2c4caa96b268c5bad1566fc6487dd0bc",
-      "bytes": 62149,
-      "rows": 9,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_16958",
     "goedel_workbook:lean_workbook_plus_16961",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014247.lean\",\"eca2f79129d7805b5c848ae13f0a86159deb3bd86a8a6c7979b923fba1680eaa\",0,\"lean_workbook_plus_17052\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014248.lean\",\"ebcab78af61be364779886f0ed49979f89a8f5d10ee5cadaf03db1ccd3657e21\",0,\"lean_workbook_plus_17061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014249.lean\",\"f22761400c15de3d5eb5a88330aaf507ecbd392ec6c7344c8d96acc3d451b806\",0,\"lean_workbook_plus_17070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207944,
+      "path": "data/train/p3c/goedel_workbook-000569-0000-6ee4e2011b323102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "6ee4e2011b3231025f94732bf6b10a82dd91c209e529f506f316f01a93085e1b"
+    },
+    {
+      "bytes": 45972,
+      "path": "data/dev/p3c/goedel_workbook-000569-0000-fac7c0e251dc6dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fac7c0e251dc6dd63d95a057e33fea8e3d3caee841ac04e7e7921457f24488e5"
+    },
+    {
+      "bytes": 62149,
+      "path": "data/internal_test/p3c/goedel_workbook-000569-0000-797cc31f6b30b6cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "797cc31f6b30b6cf5003fdd88711762c2c4caa96b268c5bad1566fc6487dd0bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000570.json b/manifests/batches/goedel_workbook/000570.json
index cde4ee9edf536cc4b18af530c2dfe34801327a66..569caf1d3a46e84b63272a0d81c1ffae43367df9 100644
--- a/manifests/batches/goedel_workbook/000570.json
+++ b/manifests/batches/goedel_workbook/000570.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000570",
   "batch_fingerprint": "3ea5554190b8d44c6334d26348ab967590edb8b77cd5816291c3d923781f9c6a",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000570-0000-a16bf670dde9cd73.parquet",
-      "sha256": "a16bf670dde9cd73191a2555048f5483cdc9ebd6449c23f0c377a44c508913b9",
-      "bytes": 152130,
-      "rows": 36,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000570-0000-ad671c83e8bbdd6d.parquet",
-      "sha256": "ad671c83e8bbdd6dccc591085c246bfb0a62ce78d93330908d224890c846b6fe",
-      "bytes": 45042,
-      "rows": 3,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000570-0000-cff6b5faf5a98d3f.parquet",
-      "sha256": "cff6b5faf5a98d3f74fd193731f7126ae2f7ac837fdf767bace762eeb61c41d7",
-      "bytes": 26144,
-      "rows": 1,
-      "revision": "2fd8b1a76a4ae4d8f21404c82f12997b7b0c13c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17079",
     "goedel_workbook:lean_workbook_plus_17088",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014268.lean\",\"123f8e4736f73d08baff3e3f8fba9912f436f6760e2b184c3ba9e0899e663a10\",0,\"lean_workbook_plus_17133\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014270.lean\",\"b28a01659224cb120db139253c7746eb6160114ab830eb1d3962d7eb0c01144b\",0,\"lean_workbook_plus_1714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014273.lean\",\"c55274a6c76502c34b58a59ed7ec4e85d5219e59baa324f5125e473e15c5fd83\",0,\"lean_workbook_plus_17163\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152130,
+      "path": "data/train/p06/goedel_workbook-000570-0000-a16bf670dde9cd73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "a16bf670dde9cd73191a2555048f5483cdc9ebd6449c23f0c377a44c508913b9"
+    },
+    {
+      "bytes": 45042,
+      "path": "data/dev/p06/goedel_workbook-000570-0000-ad671c83e8bbdd6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ad671c83e8bbdd6dccc591085c246bfb0a62ce78d93330908d224890c846b6fe"
+    },
+    {
+      "bytes": 26144,
+      "path": "data/internal_test/p06/goedel_workbook-000570-0000-cff6b5faf5a98d3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cff6b5faf5a98d3f74fd193731f7126ae2f7ac837fdf767bace762eeb61c41d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000571.json b/manifests/batches/goedel_workbook/000571.json
index c74567609d1d182d0422fb5080c5f302f53ba83e..0b20429115956520416ec54fbf70974cbcd6de1f 100644
--- a/manifests/batches/goedel_workbook/000571.json
+++ b/manifests/batches/goedel_workbook/000571.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000571",
   "batch_fingerprint": "61961e8d1edeecdfcfc63b17d4c63a3924881b871bc9f2c91d8c4a0723fc1ce0",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000571-0000-51b603c6a7827125.parquet",
-      "sha256": "51b603c6a78271257c13fb1e3878c14a923072b3fb2e35059123a7598fa9fe6f",
-      "bytes": 173525,
-      "rows": 40,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000571-0000-840bc0a3ced55425.parquet",
-      "sha256": "840bc0a3ced55425818a22728466f7a5b62d360042cc92cb4d83ceb604f99f40",
-      "bytes": 62329,
-      "rows": 8,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17171",
     "goedel_workbook:lean_workbook_plus_17172",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014297.lean\",\"caf244b6e2178486c849876b22c1897a830af3d13e247b6626d8592c010ae0a3\",0,\"lean_workbook_plus_17252\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014298.lean\",\"385f0180d37803c967ce122204706933038808b406710784a434258b7f1635fc\",0,\"lean_workbook_plus_17254\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014299.lean\",\"2365a3bd3d512db00f8386d2b48f994c4952ad8fbdc702a8a62bb685714eea02\",0,\"lean_workbook_plus_17255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173525,
+      "path": "data/train/p13/goedel_workbook-000571-0000-51b603c6a7827125.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "51b603c6a78271257c13fb1e3878c14a923072b3fb2e35059123a7598fa9fe6f"
+    },
+    {
+      "bytes": 62329,
+      "path": "data/internal_test/p13/goedel_workbook-000571-0000-840bc0a3ced55425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "840bc0a3ced55425818a22728466f7a5b62d360042cc92cb4d83ceb604f99f40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000572.json b/manifests/batches/goedel_workbook/000572.json
index 342863e05d0bb5fd0b188777d456db444a2c437c..3cdfbd64f839d87dfca4950f7bcf02049e12b3a8 100644
--- a/manifests/batches/goedel_workbook/000572.json
+++ b/manifests/batches/goedel_workbook/000572.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000572",
   "batch_fingerprint": "6606621319d6ee1484129526b3dc9c0ccdc868ea5640a27cda10e2bf4f1713df",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000572-0000-f3de2762c1672606.parquet",
-      "sha256": "f3de2762c1672606e0c4b6a6bff4d5fc388e222afd6a6a70bc6ece8f6fccfaa7",
-      "bytes": 119179,
-      "rows": 32,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000572-0000-73efeec3d70e9cb0.parquet",
-      "sha256": "73efeec3d70e9cb034d5b4e6246c953cec4a1ce8d44b3887d633db0aa80ba41f",
-      "bytes": 34072,
-      "rows": 2,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17259",
     "goedel_workbook:lean_workbook_plus_17277",
@@ -280,5 +264,21 @@
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014324.lean\",\"f1eae48eba6bcfb7b5b99ec869b88101ace3c629c1732acff4b5f5a7a336a051\",0,\"lean_workbook_plus_17369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119179,
+      "path": "data/train/pf4/goedel_workbook-000572-0000-f3de2762c1672606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f3de2762c1672606e0c4b6a6bff4d5fc388e222afd6a6a70bc6ece8f6fccfaa7"
+    },
+    {
+      "bytes": 34072,
+      "path": "data/internal_test/pf4/goedel_workbook-000572-0000-73efeec3d70e9cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "73efeec3d70e9cb034d5b4e6246c953cec4a1ce8d44b3887d633db0aa80ba41f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000573.json b/manifests/batches/goedel_workbook/000573.json
index 551ca8a8af4996dad90a422f546ee10b1aa3705a..b6d662257bc77fbaceb2b6390b4e894b3e950f65 100644
--- a/manifests/batches/goedel_workbook/000573.json
+++ b/manifests/batches/goedel_workbook/000573.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000573",
   "batch_fingerprint": "3d1b72825dba98667f8372294f61dedda4c4e9a360b31cee5cc8e9c634bc57f4",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000573-0000-9bccc593bcf8dacb.parquet",
-      "sha256": "9bccc593bcf8dacb1cb6c3c4532a79b0e8484c1b20262a51f333bb587b4e5a26",
-      "bytes": 170444,
-      "rows": 38,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000573-0000-4c62f8f94d5a71a7.parquet",
-      "sha256": "4c62f8f94d5a71a7cdf3ccdc3a0470458e0454b0fd26b636ffc40f3d0d7a46b3",
-      "bytes": 41089,
-      "rows": 3,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17370",
     "goedel_workbook:lean_workbook_plus_17371",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014343.lean\",\"9bdf8f9e033bab39cf07dc5852a13f775e16c9cba1bdac1df0d1795765f272c4\",0,\"lean_workbook_plus_17435\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014345.lean\",\"06c10abbe171f2a89d4b25c6f79432fee4e9e4468eef14797f1e0748624ed0e4\",0,\"lean_workbook_plus_17438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170444,
+      "path": "data/train/p61/goedel_workbook-000573-0000-9bccc593bcf8dacb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9bccc593bcf8dacb1cb6c3c4532a79b0e8484c1b20262a51f333bb587b4e5a26"
+    },
+    {
+      "bytes": 41089,
+      "path": "data/dev/p61/goedel_workbook-000573-0000-4c62f8f94d5a71a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4c62f8f94d5a71a7cdf3ccdc3a0470458e0454b0fd26b636ffc40f3d0d7a46b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000574.json b/manifests/batches/goedel_workbook/000574.json
index 5c4c7d5e9f48c5b7807c5ec9ba6ab8401c796a62..dd9ee373d5567505b6697ed0229fbc3da51df0c5 100644
--- a/manifests/batches/goedel_workbook/000574.json
+++ b/manifests/batches/goedel_workbook/000574.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000574",
   "batch_fingerprint": "26d8a5ca951e8461d1b55e0bf380ec6e7c251a9522ab5651e5d0df91f8dad96e",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000574-0000-438684b684f9649b.parquet",
-      "sha256": "438684b684f9649be360182c3826bda4edce15e3df25560a6234feb609582926",
-      "bytes": 128617,
-      "rows": 32,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000574-0000-579a043f12336411.parquet",
-      "sha256": "579a043f12336411e64c0ce2f0c40b94e1ad31e765bcf5b396cf83f33de79600",
-      "bytes": 37958,
-      "rows": 3,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17465",
     "goedel_workbook:lean_workbook_plus_17478",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014371.lean\",\"618456d3eb9fb77c73c636a9d0d5f876857a68f118730fbdcd895d3251e9d200\",0,\"lean_workbook_plus_17527\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 128617,
+      "path": "data/train/p47/goedel_workbook-000574-0000-438684b684f9649b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "438684b684f9649be360182c3826bda4edce15e3df25560a6234feb609582926"
+    },
+    {
+      "bytes": 37958,
+      "path": "data/internal_test/p47/goedel_workbook-000574-0000-579a043f12336411.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "579a043f12336411e64c0ce2f0c40b94e1ad31e765bcf5b396cf83f33de79600"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000575.json b/manifests/batches/goedel_workbook/000575.json
index f9d757f17afcff35368eddd200f295ea71334060..505ee40196d1382c03398ceb150586a3e53d4ee0 100644
--- a/manifests/batches/goedel_workbook/000575.json
+++ b/manifests/batches/goedel_workbook/000575.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000575",
   "batch_fingerprint": "99f00c17afb4ce252e152925d594d4017e793d78a4f45a59d2ea38aac6db74fc",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000575-0000-2576892a837e5e4e.parquet",
-      "sha256": "2576892a837e5e4e46ca7a926cc6c53d2b79ffc105c72ff39bd785198da9393f",
-      "bytes": 98747,
-      "rows": 24,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000575-0000-4b3c256e6a54ee05.parquet",
-      "sha256": "4b3c256e6a54ee05e2ef4ec4fa85273f6180fe1f23d31799c7397b92998d76dc",
-      "bytes": 48494,
-      "rows": 6,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17544",
     "goedel_workbook:lean_workbook_plus_17568",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014397.lean\",\"76ddeb9630c1c1f3b65825c625ac5f103a3aa879413dfd61ca17e8ae5f4cc55a\",0,\"lean_workbook_plus_17644\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 98747,
+      "path": "data/train/p86/goedel_workbook-000575-0000-2576892a837e5e4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2576892a837e5e4e46ca7a926cc6c53d2b79ffc105c72ff39bd785198da9393f"
+    },
+    {
+      "bytes": 48494,
+      "path": "data/internal_test/p86/goedel_workbook-000575-0000-4b3c256e6a54ee05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4b3c256e6a54ee05e2ef4ec4fa85273f6180fe1f23d31799c7397b92998d76dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000576.json b/manifests/batches/goedel_workbook/000576.json
index d3ada031aadabc166626a7b0b25f2bf01104884d..a677c8cdaf5d723023a0f58cb158de1cddfa5c8e 100644
--- a/manifests/batches/goedel_workbook/000576.json
+++ b/manifests/batches/goedel_workbook/000576.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000576",
   "batch_fingerprint": "1ff517a68cdbf0ed5ef15c536eb1d17ef33e33c7f200708b38db1692fd53b06d",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000576-0000-2eece4941807b264.parquet",
-      "sha256": "2eece4941807b26432f9c9dda7597d07eaff2a16b30c790ab6cda140db907e4b",
-      "bytes": 219909,
-      "rows": 60,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000576-0000-61374da8b242fc50.parquet",
-      "sha256": "61374da8b242fc50fd55495748c003df0ed354211bec155bafe883d9eadb1c9c",
-      "bytes": 45316,
-      "rows": 14,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17651",
     "goedel_workbook:lean_workbook_plus_17652",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014422.lean\",\"e4573ca2cd6d5378af4505aac90ad81f03f60cd071622a0596fcad100749f9dd\",0,\"lean_workbook_plus_17723\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014424.lean\",\"6ba8e7cbfdb752700ab381d8cc0c47249990b5d9f55c04a69d05a2bc85c89fa6\",0,\"lean_workbook_plus_17728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219909,
+      "path": "data/train/p38/goedel_workbook-000576-0000-2eece4941807b264.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "2eece4941807b26432f9c9dda7597d07eaff2a16b30c790ab6cda140db907e4b"
+    },
+    {
+      "bytes": 45316,
+      "path": "data/dev/p38/goedel_workbook-000576-0000-61374da8b242fc50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "61374da8b242fc50fd55495748c003df0ed354211bec155bafe883d9eadb1c9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000577.json b/manifests/batches/goedel_workbook/000577.json
index de9dd001509e8e4f57e20e021e21fea568f23988..b99bcbd6e9ab806c6098ea75f9c1c274e309ea10 100644
--- a/manifests/batches/goedel_workbook/000577.json
+++ b/manifests/batches/goedel_workbook/000577.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000577",
   "batch_fingerprint": "de09b2a2b0224d283fe75787ace70aaca61b6b4bb79f7163e74cf32e59d8124d",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000577-0000-5f2507de4f1f245f.parquet",
-      "sha256": "5f2507de4f1f245fd80361919f8909b2e2e9d7df2331026066be44a5137324ce",
-      "bytes": 217919,
-      "rows": 67,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17738",
     "goedel_workbook:lean_workbook_plus_17740",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014440.lean\",\"481f6b08a9524e101651535eaa08ed995992ed6afeef33cb046a59e218b03bab\",0,\"lean_workbook_plus_17792\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014442.lean\",\"6f5a5edbf916c86e9c3927787ecef3ccae89b9891d190e1a7e33cbce2a525951\",0,\"lean_workbook_plus_17796\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014443.lean\",\"4d7f6f6f4c6d84d23fc6783f4b86eee0ed15e05a3cdef4fe55ec64ebc52c19cc\",0,\"lean_workbook_plus_17798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217919,
+      "path": "data/train/pc1/goedel_workbook-000577-0000-5f2507de4f1f245f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "5f2507de4f1f245fd80361919f8909b2e2e9d7df2331026066be44a5137324ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000578.json b/manifests/batches/goedel_workbook/000578.json
index dfb3033e28655cdce0c2385cabf884d61cca1972..28aaacc3c4efb997e9f9eca63cdad902062b5cb0 100644
--- a/manifests/batches/goedel_workbook/000578.json
+++ b/manifests/batches/goedel_workbook/000578.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000578",
   "batch_fingerprint": "db3221774efc32aa2c7e10a0065096d6a9b05b67c584fec401437906bf797680",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000578-0000-ee9cab400ee4e58d.parquet",
-      "sha256": "ee9cab400ee4e58d341a81dd20f212c8ad1f75346adb8abb6c8eee1f20cff041",
-      "bytes": 203237,
-      "rows": 35,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000578-0000-acbeec0b9238898a.parquet",
-      "sha256": "acbeec0b9238898a5d4bf46c84a5b5ddced384ff824e40f6fdce512033a7bc34",
-      "bytes": 34633,
-      "rows": 1,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1783",
     "goedel_workbook:lean_workbook_plus_17835",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014469.lean\",\"ae7420acbdb117eec356e6727874d13185fcb42f958e86f5007b3393d1b90846\",0,\"lean_workbook_plus_17954\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014471.lean\",\"25284cbaa23a5bf76477a6c3f0e6021d9da612b09b7ef96cf4a18f88c446d6c3\",0,\"lean_workbook_plus_17961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203237,
+      "path": "data/train/pff/goedel_workbook-000578-0000-ee9cab400ee4e58d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "ee9cab400ee4e58d341a81dd20f212c8ad1f75346adb8abb6c8eee1f20cff041"
+    },
+    {
+      "bytes": 34633,
+      "path": "data/internal_test/pff/goedel_workbook-000578-0000-acbeec0b9238898a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "acbeec0b9238898a5d4bf46c84a5b5ddced384ff824e40f6fdce512033a7bc34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000579.json b/manifests/batches/goedel_workbook/000579.json
index 1b47acbb42cab4176c59ab3b71e20afe3aae40b7..f0aa56755a085499d7458089cd9fa984f1a4c453 100644
--- a/manifests/batches/goedel_workbook/000579.json
+++ b/manifests/batches/goedel_workbook/000579.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000579",
   "batch_fingerprint": "442ba9b7472264a22a34ffb77de4a02ab2f07ca2540563e9629068361441a721",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000579-0000-ca073917c34ea648.parquet",
-      "sha256": "ca073917c34ea6485b587cdbeb50816ba2994c52be9b249497b3c5dae896fa5e",
-      "bytes": 185704,
-      "rows": 36,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000579-0000-9f5c987dc43cae8f.parquet",
-      "sha256": "9f5c987dc43cae8f4b95ff42ed0c6cc9dadebb69ad2d6506a2686fb89468abdb",
-      "bytes": 50380,
-      "rows": 8,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_17986",
     "goedel_workbook:lean_workbook_plus_17988",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014491.lean\",\"80cd00306266969cce24218dbc3ab46a7c88508994b7356f140dc286a1719081\",0,\"lean_workbook_plus_18075\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014492.lean\",\"f6ef3d292a293a8e080658a2b054d679d29dc88c982e8a2e4bab8de8ff38e3ef\",0,\"lean_workbook_plus_18078\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014499.lean\",\"ba58be7dba168fff0f4b3dd26dfec9a9614b4a5571fb932de205363036d8b243\",0,\"lean_workbook_plus_18095\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185704,
+      "path": "data/train/p5b/goedel_workbook-000579-0000-ca073917c34ea648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "ca073917c34ea6485b587cdbeb50816ba2994c52be9b249497b3c5dae896fa5e"
+    },
+    {
+      "bytes": 50380,
+      "path": "data/internal_test/p5b/goedel_workbook-000579-0000-9f5c987dc43cae8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9f5c987dc43cae8f4b95ff42ed0c6cc9dadebb69ad2d6506a2686fb89468abdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000580.json b/manifests/batches/goedel_workbook/000580.json
index 2affd8fa152aecfe82f506c811b5a91a3533de58..00e01adead40c2992098abdffec0d651ced971c8 100644
--- a/manifests/batches/goedel_workbook/000580.json
+++ b/manifests/batches/goedel_workbook/000580.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000580",
   "batch_fingerprint": "d89aaf76e9bf322e7167a8b3eb1ef440f70cc80b7c1efafc62eff3f2e3a77846",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000580-0000-f61ac029373cd594.parquet",
-      "sha256": "f61ac029373cd594dd2faadb89c819045b22f3112b3bc193e9bc973a96876d94",
-      "bytes": 186280,
-      "rows": 35,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000580-0000-b6715d62cc113509.parquet",
-      "sha256": "b6715d62cc1135096324a7d282375142cc52f265d4cb268357b6bcf4aee95217",
-      "bytes": 39462,
-      "rows": 3,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000580-0000-3a8587157da60a48.parquet",
-      "sha256": "3a8587157da60a484d3ed5a96ace108050611be28eb70421344cb762be9cfb43",
-      "bytes": 26431,
-      "rows": 1,
-      "revision": "145fd54c62ff1a94d7dca0aeb0785f0c033d8da7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1810",
     "goedel_workbook:lean_workbook_plus_18106",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014517.lean\",\"edc28daaa956fff268a196b2cab51712b1710ed117914531d46cdb8b3422fdc2\",0,\"lean_workbook_plus_18165\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014519.lean\",\"223e50b8048deef54fd184ed9b42d175cc7b62d5315d18d6b988015fefa5215b\",0,\"lean_workbook_plus_18172\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014523.lean\",\"534160f7852f9196a9f12b9216d6165ae2bac8ff3e012630a0eec99ccbd4cb1f\",0,\"lean_workbook_plus_18195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186280,
+      "path": "data/train/p85/goedel_workbook-000580-0000-f61ac029373cd594.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f61ac029373cd594dd2faadb89c819045b22f3112b3bc193e9bc973a96876d94"
+    },
+    {
+      "bytes": 39462,
+      "path": "data/dev/p85/goedel_workbook-000580-0000-b6715d62cc113509.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b6715d62cc1135096324a7d282375142cc52f265d4cb268357b6bcf4aee95217"
+    },
+    {
+      "bytes": 26431,
+      "path": "data/internal_test/p85/goedel_workbook-000580-0000-3a8587157da60a48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3a8587157da60a484d3ed5a96ace108050611be28eb70421344cb762be9cfb43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000581.json b/manifests/batches/goedel_workbook/000581.json
index a2c3cfa34ff4c9218198a86f1c222a7cc851455e..603e68994a3560733b2fcf355460fedabd6fbfbb 100644
--- a/manifests/batches/goedel_workbook/000581.json
+++ b/manifests/batches/goedel_workbook/000581.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000581",
   "batch_fingerprint": "c4f248db943dfab2d0c88fabc9660f6682f6c4d408c367cd77fb7766bb9c3541",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000581-0000-974cee3f3e2e9e90.parquet",
-      "sha256": "974cee3f3e2e9e90d6d0b3a07190c500bf667448ddbad56b4a990aa8cd64da23",
-      "bytes": 172432,
-      "rows": 41,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000581-0000-c8282b59287611b4.parquet",
-      "sha256": "c8282b59287611b496c9e4d9d8e41e310d2ac3d6a0e2dd169987e2bc48f8bd67",
-      "bytes": 28798,
-      "rows": 1,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18200",
     "goedel_workbook:lean_workbook_plus_18204",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014544.lean\",\"f1aec53a1b6a873323140176b05d120f65fc0a7411a109bf8f7b9618c82adefe\",0,\"lean_workbook_plus_18268\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014548.lean\",\"0f220596df963625c2832c429599389537ad1187cd72bb29b495862278f51d37\",0,\"lean_workbook_plus_18289\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014549.lean\",\"46e494251ba1828d116a4a648e408c000770d21ce3e1bb3e0598a205907aa160\",0,\"lean_workbook_plus_18290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172432,
+      "path": "data/train/p9f/goedel_workbook-000581-0000-974cee3f3e2e9e90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "974cee3f3e2e9e90d6d0b3a07190c500bf667448ddbad56b4a990aa8cd64da23"
+    },
+    {
+      "bytes": 28798,
+      "path": "data/internal_test/p9f/goedel_workbook-000581-0000-c8282b59287611b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c8282b59287611b496c9e4d9d8e41e310d2ac3d6a0e2dd169987e2bc48f8bd67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000582.json b/manifests/batches/goedel_workbook/000582.json
index 568731352013906c6a6a2f883aab6b58a56a4c5a..1b7d716c3d3fb8dc0892c7ec4fe160bba1d02cf6 100644
--- a/manifests/batches/goedel_workbook/000582.json
+++ b/manifests/batches/goedel_workbook/000582.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000582",
   "batch_fingerprint": "38a8da5aa37e0e7dff81c161496c841fd51316c010499bb7a96574d3a6697bcd",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000582-0000-f14085459134803b.parquet",
-      "sha256": "f14085459134803bb876a59431d5bd1be193a7555f1e1222a50e171abb5ed6b9",
-      "bytes": 166606,
-      "rows": 41,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000582-0000-596f3d3b3ad5fe54.parquet",
-      "sha256": "596f3d3b3ad5fe54fef7f4a02632e652a42f98c6e8393170c4ff370cb25c8b26",
-      "bytes": 33046,
-      "rows": 1,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18297",
     "goedel_workbook:lean_workbook_plus_18299",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014572.lean\",\"90facd39185c10034f3311c60efceca8a6feb38574b5acfe2263ac651b414455\",0,\"lean_workbook_plus_18364\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014573.lean\",\"234e30f99b844f836001fe8665efe36796306221a33a76231b3a1f2181258f5d\",0,\"lean_workbook_plus_18372\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014574.lean\",\"27cfc0b25df6699a6e446e0e8f80caa133c9c1b3ed3b10dc85050d17bbd4ba02\",0,\"lean_workbook_plus_18375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166606,
+      "path": "data/train/p56/goedel_workbook-000582-0000-f14085459134803b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f14085459134803bb876a59431d5bd1be193a7555f1e1222a50e171abb5ed6b9"
+    },
+    {
+      "bytes": 33046,
+      "path": "data/internal_test/p56/goedel_workbook-000582-0000-596f3d3b3ad5fe54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "596f3d3b3ad5fe54fef7f4a02632e652a42f98c6e8393170c4ff370cb25c8b26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000583.json b/manifests/batches/goedel_workbook/000583.json
index e9f085eed705759db4ec450687798002ce0ed51e..7b810b3d41729f7e1d724d20a5dee47bb96317df 100644
--- a/manifests/batches/goedel_workbook/000583.json
+++ b/manifests/batches/goedel_workbook/000583.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000583",
   "batch_fingerprint": "8ed05e304409aefb25ee197b7ee2bd24d4650dc4abf5fdb4edcebc8ba28b4b69",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000583-0000-3a4b846f77fe083c.parquet",
-      "sha256": "3a4b846f77fe083cdc6908393d47ae135a4cc65cbbb4c684af18efd57a48924e",
-      "bytes": 140707,
-      "rows": 36,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000583-0000-a434ca1c84127c21.parquet",
-      "sha256": "a434ca1c84127c21f54b5766cdebe60f4bf664b6a8c4603d2cd72c068e0f6da9",
-      "bytes": 44674,
-      "rows": 2,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18380",
     "goedel_workbook:lean_workbook_plus_18386",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014596.lean\",\"d5e52891df1001789f50bd3781a64c5837819053110d6a7cd2661a50542bddc9\",0,\"lean_workbook_plus_18472\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014597.lean\",\"3a9f5046e91e9f4747f228a461aae7c3e5da9be0c39301dc36e5ff7a9f5e0976\",0,\"lean_workbook_plus_18477\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014599.lean\",\"cdc5a9f93c79cddd0f83ed3f235942827224c23e6eaa28adaab7bc1a27b09507\",0,\"lean_workbook_plus_18497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140707,
+      "path": "data/train/p54/goedel_workbook-000583-0000-3a4b846f77fe083c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "3a4b846f77fe083cdc6908393d47ae135a4cc65cbbb4c684af18efd57a48924e"
+    },
+    {
+      "bytes": 44674,
+      "path": "data/internal_test/p54/goedel_workbook-000583-0000-a434ca1c84127c21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a434ca1c84127c21f54b5766cdebe60f4bf664b6a8c4603d2cd72c068e0f6da9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000584.json b/manifests/batches/goedel_workbook/000584.json
index 9d1d2869ac2dc838ca1c807983f0bca97312706c..685d99f8cceb288f06c1680b5f2168c0631a70fc 100644
--- a/manifests/batches/goedel_workbook/000584.json
+++ b/manifests/batches/goedel_workbook/000584.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000584",
   "batch_fingerprint": "48e99fe036a10530e5fdce4bbf3bea2ab780e6d319eed0c165b03a0e79ed58d1",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000584-0000-3c26646e2ded2e24.parquet",
-      "sha256": "3c26646e2ded2e24af40c6576656eb97e65e0f09f616df78292d34d4ec4f9750",
-      "bytes": 172376,
-      "rows": 45,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000584-0000-eefed6c14f98536a.parquet",
-      "sha256": "eefed6c14f98536af9a8283a575eb5cc645a5c59c7a37fecb1e597500e358d76",
-      "bytes": 29913,
-      "rows": 2,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18504",
     "goedel_workbook:lean_workbook_plus_18507",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014621.lean\",\"f4e34e86e581a42f35beea4f4e233972275641eedabe7b49c0fd5bc0c344478b\",0,\"lean_workbook_plus_18564\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014622.lean\",\"6b5b5a37ced75f23b25bfe95e66d0cf26cb1e01165c65c72ac14b6a369c6068f\",0,\"lean_workbook_plus_18565\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014624.lean\",\"25a957649b28486db32b5ca933500cb8e5f736a0c838dd8ae12e871b781ac136\",0,\"lean_workbook_plus_18570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172376,
+      "path": "data/train/pea/goedel_workbook-000584-0000-3c26646e2ded2e24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "3c26646e2ded2e24af40c6576656eb97e65e0f09f616df78292d34d4ec4f9750"
+    },
+    {
+      "bytes": 29913,
+      "path": "data/internal_test/pea/goedel_workbook-000584-0000-eefed6c14f98536a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eefed6c14f98536af9a8283a575eb5cc645a5c59c7a37fecb1e597500e358d76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000585.json b/manifests/batches/goedel_workbook/000585.json
index 2f8f3935487dd3bb22253b68a3f028ab81bc639c..b4697e72d6d08afe999c4faa361a88708710ee12 100644
--- a/manifests/batches/goedel_workbook/000585.json
+++ b/manifests/batches/goedel_workbook/000585.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000585",
   "batch_fingerprint": "a13068c687fb2a8a97e5b3d3bb1a468f54d65bf80ce042057a7ca97624f2327b",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000585-0000-765a427a97439a07.parquet",
-      "sha256": "765a427a97439a070c0fedafb5da508b405f0e3efa9c30d2340475b3fefad1d5",
-      "bytes": 156019,
-      "rows": 37,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000585-0000-f828f9b692d155ae.parquet",
-      "sha256": "f828f9b692d155ae114f8f2982a1f19e1163e94c49a7dbe6d813c741f7115df0",
-      "bytes": 29883,
-      "rows": 2,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000585-0000-ec68414965dc47f2.parquet",
-      "sha256": "ec68414965dc47f2fac52cbb2518124a816cef0d273eba0a773ef901b46899a8",
-      "bytes": 43134,
-      "rows": 4,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18571",
     "goedel_workbook:lean_workbook_plus_18572",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014647.lean\",\"383a4fcd0ec06ba8eded7f25083233a0d2f3f6121aa6e343a7760ccc26fbfbb2\",0,\"lean_workbook_plus_18676\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014648.lean\",\"84191aa4a5dc42ca69d6a73c055d473301157e04b9ce74d87782a0b22d000a00\",0,\"lean_workbook_plus_18678\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014649.lean\",\"0ef007fae8c5c366659124f7fbfda52404be60085ed1c668182a83c9c034cbcd\",0,\"lean_workbook_plus_18679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156019,
+      "path": "data/train/p3c/goedel_workbook-000585-0000-765a427a97439a07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "765a427a97439a070c0fedafb5da508b405f0e3efa9c30d2340475b3fefad1d5"
+    },
+    {
+      "bytes": 29883,
+      "path": "data/dev/p3c/goedel_workbook-000585-0000-f828f9b692d155ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f828f9b692d155ae114f8f2982a1f19e1163e94c49a7dbe6d813c741f7115df0"
+    },
+    {
+      "bytes": 43134,
+      "path": "data/internal_test/p3c/goedel_workbook-000585-0000-ec68414965dc47f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ec68414965dc47f2fac52cbb2518124a816cef0d273eba0a773ef901b46899a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000586.json b/manifests/batches/goedel_workbook/000586.json
index 0a3a992a9171cafc325142e5282e9b24df642bfb..152ad4bc7136a81b05901da247bc936414209441 100644
--- a/manifests/batches/goedel_workbook/000586.json
+++ b/manifests/batches/goedel_workbook/000586.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000586",
   "batch_fingerprint": "f145e8c5f398220212533252c95fccf65246b649a90c99894126400a70c8ce69",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000586-0000-51af6e4f83566e60.parquet",
-      "sha256": "51af6e4f83566e60d83c4f475cf1e9bfdd6e767a63cac2a72e756df93954db39",
-      "bytes": 97289,
-      "rows": 23,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000586-0000-67d8bf2eb2826cd0.parquet",
-      "sha256": "67d8bf2eb2826cd0854a9d30696c26d08d453c5e4218e8d757eb4a9339bd2458",
-      "bytes": 54223,
-      "rows": 7,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18688",
     "goedel_workbook:lean_workbook_plus_18696",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014668.lean\",\"64eed861bebaadf5de9b1da82719cc630ef49f24e35ab9c83f6970a20b2ae9f2\",0,\"lean_workbook_plus_18764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014672.lean\",\"fda9c691201c3f99fe74c1d5f6ce7415ca462b8c20e4a9041430c7f71d1b055d\",0,\"lean_workbook_plus_18791\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014673.lean\",\"8cb861c4197448d26d0e939aa94493d7677242a2d1a2992474e9c587ea7e1ff4\",0,\"lean_workbook_plus_18795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97289,
+      "path": "data/train/p3e/goedel_workbook-000586-0000-51af6e4f83566e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "51af6e4f83566e60d83c4f475cf1e9bfdd6e767a63cac2a72e756df93954db39"
+    },
+    {
+      "bytes": 54223,
+      "path": "data/internal_test/p3e/goedel_workbook-000586-0000-67d8bf2eb2826cd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "67d8bf2eb2826cd0854a9d30696c26d08d453c5e4218e8d757eb4a9339bd2458"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000587.json b/manifests/batches/goedel_workbook/000587.json
index f699fe0136bc55eadcc2d393071db9d039e870dd..f53836b9d6fd74d61df313093f6dd889fab6fb51 100644
--- a/manifests/batches/goedel_workbook/000587.json
+++ b/manifests/batches/goedel_workbook/000587.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000587",
   "batch_fingerprint": "86f314d4a2293964024efc7452d99c283c38001fed1a2c193f924d9fc522c7b9",
   "evidence": {
@@ -325,22 +324,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000587-0000-8ceb1d2309e041c4.parquet",
-      "sha256": "8ceb1d2309e041c4aabddec018b3b234f68c109734bd40adb26c3890f008b9d2",
-      "bytes": 92413,
-      "rows": 20,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000587-0000-d7d71a07eafd73ca.parquet",
-      "sha256": "d7d71a07eafd73caecb6bc7581040893e89f2aa82c34dc9ce7831ce2f23ae1fd",
-      "bytes": 37295,
-      "rows": 3,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18808",
     "goedel_workbook:lean_workbook_plus_1881",
@@ -360,5 +344,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014693.lean\",\"6dd38937422f855d19e717a9999ddceea78d073830eae66023cf91a49ab9b57a\",0,\"lean_workbook_plus_18882\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014696.lean\",\"96a5f272c6da81ddb691946e120128d8094f149d0f57c675b70058aa8c95b796\",0,\"lean_workbook_plus_18885\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014697.lean\",\"168cdd8ca0b81008f386ace7288850ff5f22b93eda466f9417c211a8fcb8ff44\",0,\"lean_workbook_plus_18891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92413,
+      "path": "data/train/p39/goedel_workbook-000587-0000-8ceb1d2309e041c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8ceb1d2309e041c4aabddec018b3b234f68c109734bd40adb26c3890f008b9d2"
+    },
+    {
+      "bytes": 37295,
+      "path": "data/internal_test/p39/goedel_workbook-000587-0000-d7d71a07eafd73ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7d71a07eafd73caecb6bc7581040893e89f2aa82c34dc9ce7831ce2f23ae1fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000588.json b/manifests/batches/goedel_workbook/000588.json
index 3155bc84e906c3ce34289a32a15edcb9be7d142f..d07ccb042b379254f39b36ea8519dfa1bc3505d5 100644
--- a/manifests/batches/goedel_workbook/000588.json
+++ b/manifests/batches/goedel_workbook/000588.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000588",
   "batch_fingerprint": "eedc8be59dea7203cc5cbe2c6c7ec50ba2a41281c86a7e8efdf8825555bad6da",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000588-0000-2f2f678fc4091e7f.parquet",
-      "sha256": "2f2f678fc4091e7ffc6e39c85cedecb64e02aabf7263a56bfedd4fe34a60e44d",
-      "bytes": 172318,
-      "rows": 52,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000588-0000-527dc1302c6563cb.parquet",
-      "sha256": "527dc1302c6563cbf7a3ad9be23aace746d93587e4345ad8c481c24ba5334f1c",
-      "bytes": 46557,
-      "rows": 5,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_189",
     "goedel_workbook:lean_workbook_plus_18905",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014719.lean\",\"9b4c42ec68e470e8c0fac1bb0d637779eba1d3609e8a839e79e4302ca7f21cec\",0,\"lean_workbook_plus_18955\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014720.lean\",\"90f46b7e2495f174549935d0513360a68ba6ede298161109229079c5a0474643\",0,\"lean_workbook_plus_1896\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014722.lean\",\"7aee9d2d7abbb72c621b4f4da78b7eed6aeba3115b5d68e5208af3abdfd1f279\",0,\"lean_workbook_plus_18964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172318,
+      "path": "data/train/p3c/goedel_workbook-000588-0000-2f2f678fc4091e7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "2f2f678fc4091e7ffc6e39c85cedecb64e02aabf7263a56bfedd4fe34a60e44d"
+    },
+    {
+      "bytes": 46557,
+      "path": "data/dev/p3c/goedel_workbook-000588-0000-527dc1302c6563cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "527dc1302c6563cbf7a3ad9be23aace746d93587e4345ad8c481c24ba5334f1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000589.json b/manifests/batches/goedel_workbook/000589.json
index d73e7bf9f273c664ae8825d8b4250d7a7bf97556..19cda71672d839f281ca9f988b1fbaee0d582024 100644
--- a/manifests/batches/goedel_workbook/000589.json
+++ b/manifests/batches/goedel_workbook/000589.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000589",
   "batch_fingerprint": "2e34a7c15461ba6f3516eae93146090efe6357727ebd62f509ef972c2ab4d4de",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000589-0000-049c2725906ed48c.parquet",
-      "sha256": "049c2725906ed48c89a994f499681ef9195c49a66003ad3fd1a526b06e0377dc",
-      "bytes": 173267,
-      "rows": 37,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000589-0000-6fb64890461d5245.parquet",
-      "sha256": "6fb64890461d52451ddc46cd2cea6ec30ca5d621be77d2b252dbd3f22d6eadb1",
-      "bytes": 39380,
-      "rows": 4,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_18973",
     "goedel_workbook:lean_workbook_plus_18977",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014747.lean\",\"b16679a0bca6ead91e03b5a15d2f644a728158508bfa8e6873dc1156aa050d6e\",0,\"lean_workbook_plus_19034\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014748.lean\",\"3a442390888ac41b3b34672ec38b1feee2a36bd0522d5989143be9cbc58075ee\",0,\"lean_workbook_plus_19035\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014749.lean\",\"a6fc1b6014f54c6be1c6e8fdd96e5dfd5ae6d8c6c608779e29e9800d6138f119\",0,\"lean_workbook_plus_19037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173267,
+      "path": "data/train/pd7/goedel_workbook-000589-0000-049c2725906ed48c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "049c2725906ed48c89a994f499681ef9195c49a66003ad3fd1a526b06e0377dc"
+    },
+    {
+      "bytes": 39380,
+      "path": "data/internal_test/pd7/goedel_workbook-000589-0000-6fb64890461d5245.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6fb64890461d52451ddc46cd2cea6ec30ca5d621be77d2b252dbd3f22d6eadb1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000590.json b/manifests/batches/goedel_workbook/000590.json
index ee6a9ff649f899a0f36a0c8f4f857dcdea8e6bbb..bb806118d7337a285b619c3af58c183b71968e81 100644
--- a/manifests/batches/goedel_workbook/000590.json
+++ b/manifests/batches/goedel_workbook/000590.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000590",
   "batch_fingerprint": "da0c49f946a9e18180cb20135e407378f2cd217df5d2c2c12cc8b4a964cc7e63",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000590-0000-5d2ac354055ffe64.parquet",
-      "sha256": "5d2ac354055ffe6430f0aa371cc8b9bd10bdd10a31339cf2e67f730c5726e001",
-      "bytes": 171880,
-      "rows": 34,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000590-0000-8c1b9d7e1b31b5ea.parquet",
-      "sha256": "8c1b9d7e1b31b5ea8c21fdb6cd6c1adc1ce6f3db7e3f1bd7637afacc785319c3",
-      "bytes": 40170,
-      "rows": 4,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19040",
     "goedel_workbook:lean_workbook_plus_19043",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014768.lean\",\"23991a4361d432e659d08783d0bfdc8dfe7155c50f4d2563b614cfb24a7ef99b\",0,\"lean_workbook_plus_19095\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014769.lean\",\"57715c0045a5916a8ec2856889e3b1849d50edd872462c75dc51ae0865417ccb\",0,\"lean_workbook_plus_19110\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014772.lean\",\"a1cb8693d18533be7a47dc7610cd6b1dadd5d4deca229ecb36e9a6fe5e4786a8\",0,\"lean_workbook_plus_19117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171880,
+      "path": "data/train/p73/goedel_workbook-000590-0000-5d2ac354055ffe64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "5d2ac354055ffe6430f0aa371cc8b9bd10bdd10a31339cf2e67f730c5726e001"
+    },
+    {
+      "bytes": 40170,
+      "path": "data/internal_test/p73/goedel_workbook-000590-0000-8c1b9d7e1b31b5ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8c1b9d7e1b31b5ea8c21fdb6cd6c1adc1ce6f3db7e3f1bd7637afacc785319c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000591.json b/manifests/batches/goedel_workbook/000591.json
index f74aa8d1925a7272a57f0404bc325477c9914462..49007dcf162c892e471a249adf83a15df78be506 100644
--- a/manifests/batches/goedel_workbook/000591.json
+++ b/manifests/batches/goedel_workbook/000591.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000591",
   "batch_fingerprint": "52b7f4a5eb2b58d5bba3ddec108919fc7164e3f79ded3587d8cd91deda5ba96f",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000591-0000-2d1fa3d6085bb68b.parquet",
-      "sha256": "2d1fa3d6085bb68b3d59a86eebb86a005676e8be3a2715f51683a2a9aa3ec41f",
-      "bytes": 88919,
-      "rows": 26,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000591-0000-ab43a86e071c43f8.parquet",
-      "sha256": "ab43a86e071c43f80c99d8e6600e80573e158a81c65b6ad65e03da2112b694aa",
-      "bytes": 36824,
-      "rows": 4,
-      "revision": "025d576d7bd53b72e7ca4fedc5bb5f6934451410"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19133",
     "goedel_workbook:lean_workbook_plus_19153",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014796.lean\",\"b4b5e297d524e3571d2e8d1fdaa8e1de34d865cda00c15c3005912b3773013dc\",0,\"lean_workbook_plus_19214\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014798.lean\",\"06efd420bd57735b078ab3ec54fd549de9255aff649f9f9efb362b1a072acc55\",0,\"lean_workbook_plus_19217\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014799.lean\",\"049789519fca645943e6bb0c22410ccfadbad0551e757ca35f70053099cf6c1b\",0,\"lean_workbook_plus_19218\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88919,
+      "path": "data/train/p1f/goedel_workbook-000591-0000-2d1fa3d6085bb68b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2d1fa3d6085bb68b3d59a86eebb86a005676e8be3a2715f51683a2a9aa3ec41f"
+    },
+    {
+      "bytes": 36824,
+      "path": "data/internal_test/p1f/goedel_workbook-000591-0000-ab43a86e071c43f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ab43a86e071c43f80c99d8e6600e80573e158a81c65b6ad65e03da2112b694aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000592.json b/manifests/batches/goedel_workbook/000592.json
index 51f2490f49789acb10c502a18e0ff7c8878ee422..e8634330260869c42bcae93e1cc9d588a2a46cdf 100644
--- a/manifests/batches/goedel_workbook/000592.json
+++ b/manifests/batches/goedel_workbook/000592.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000592",
   "batch_fingerprint": "acfcebd3043c9d78c6b5d6e3e6f1fc9a088151ecf26f5fd19aaddad890594cca",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000592-0000-2457a8d127aad6a4.parquet",
-      "sha256": "2457a8d127aad6a4ece2c63abf414aba84b5df7605bb0976d1ffbdb6d94b5693",
-      "bytes": 163082,
-      "rows": 33,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000592-0000-6683c8c7320c2eaf.parquet",
-      "sha256": "6683c8c7320c2eafc475c69b1628945c26d76a84ab1e26ad42058614d11c3167",
-      "bytes": 34891,
-      "rows": 4,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000592-0000-86baf6be264dadd2.parquet",
-      "sha256": "86baf6be264dadd2680a32d5216f48221ae8a2c7032d126160a2e26190e6405f",
-      "bytes": 81235,
-      "rows": 16,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19219",
     "goedel_workbook:lean_workbook_plus_19220",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014821.lean\",\"103c59b4ece4d1f8ccf1b9a3954090cbed3ca9dcbc7ff39027c10a49563eaa2d\",0,\"lean_workbook_plus_193\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014823.lean\",\"45e719b1a6f94c437c1d1c1863622de3ac4111fa08c0f746d56efe03eb122efc\",0,\"lean_workbook_plus_19303\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014824.lean\",\"24dc0be53adf653c7d1f14020b261af74e169deb588801f575be8814f5b9fba5\",0,\"lean_workbook_plus_19315\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163082,
+      "path": "data/train/p5a/goedel_workbook-000592-0000-2457a8d127aad6a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2457a8d127aad6a4ece2c63abf414aba84b5df7605bb0976d1ffbdb6d94b5693"
+    },
+    {
+      "bytes": 34891,
+      "path": "data/dev/p5a/goedel_workbook-000592-0000-6683c8c7320c2eaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6683c8c7320c2eafc475c69b1628945c26d76a84ab1e26ad42058614d11c3167"
+    },
+    {
+      "bytes": 81235,
+      "path": "data/internal_test/p5a/goedel_workbook-000592-0000-86baf6be264dadd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "86baf6be264dadd2680a32d5216f48221ae8a2c7032d126160a2e26190e6405f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000593.json b/manifests/batches/goedel_workbook/000593.json
index adea3ca3e1f5ccf4f6824032ab372ec1dc25c89a..fc78a9cd64aed31c71000ea328ff91c8e152fb86 100644
--- a/manifests/batches/goedel_workbook/000593.json
+++ b/manifests/batches/goedel_workbook/000593.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000593",
   "batch_fingerprint": "faffa49ba6d172eca0ef05c3a864ad3609c37cfa045519b39390ec747c21b906",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000593-0000-8323884a9bf44658.parquet",
-      "sha256": "8323884a9bf446582df47197077d3d54f43ca6fb9e73aee3ced17734e1374e73",
-      "bytes": 107969,
-      "rows": 31,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000593-0000-bd3af36c7436a21a.parquet",
-      "sha256": "bd3af36c7436a21a6559f024dd130d753ac03c4e6ffaa0d6ae1a6e299521e296",
-      "bytes": 38574,
-      "rows": 5,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_1932",
     "goedel_workbook:lean_workbook_plus_19328",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014844.lean\",\"169115fffdef4f8125201c03e9935a3be118122e423ee8307d71527aec4e0148\",0,\"lean_workbook_plus_19412\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014845.lean\",\"d800e2b136aaf7c120d28499df5b9cba6b8a22b359bc72166da8520c2d7566bc\",0,\"lean_workbook_plus_19418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014848.lean\",\"37d2c0ec374a67d804b47671cab4e794908bab90a3de8ccdaf600f1b2533fe64\",0,\"lean_workbook_plus_19433\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107969,
+      "path": "data/train/p5d/goedel_workbook-000593-0000-8323884a9bf44658.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8323884a9bf446582df47197077d3d54f43ca6fb9e73aee3ced17734e1374e73"
+    },
+    {
+      "bytes": 38574,
+      "path": "data/internal_test/p5d/goedel_workbook-000593-0000-bd3af36c7436a21a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bd3af36c7436a21a6559f024dd130d753ac03c4e6ffaa0d6ae1a6e299521e296"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000594.json b/manifests/batches/goedel_workbook/000594.json
index 8cc7aabac74fe7cd1607dafcfd170745b16c08f8..2ea74c65f4a4c4abd4c01a66b7b8d67efaeb96bf 100644
--- a/manifests/batches/goedel_workbook/000594.json
+++ b/manifests/batches/goedel_workbook/000594.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000594",
   "batch_fingerprint": "14e8de426f07102b785637cc98f2c1bbeae3248ed12601345ab4d8b41c0c3c35",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000594-0000-051ac9abcb2a6159.parquet",
-      "sha256": "051ac9abcb2a6159115e9352a0d3aef28b3742a37b09f0cfc734078f137c564f",
-      "bytes": 152297,
-      "rows": 38,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000594-0000-6301a00794c85c7d.parquet",
-      "sha256": "6301a00794c85c7d39e59b45c539e3a4216affa71dc3dff418c07f93fd180ede",
-      "bytes": 67790,
-      "rows": 10,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000594-0000-64ecd16a31f51b72.parquet",
-      "sha256": "64ecd16a31f51b72c089f0085c67d1d95faf257df0c50b056b95d3bb6f60113e",
-      "bytes": 41492,
-      "rows": 3,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19437",
     "goedel_workbook:lean_workbook_plus_19439",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014872.lean\",\"934e39c83aec92a09e9b979bdaf4456679a01ee7b444c717dae645cc7fda9d07\",0,\"lean_workbook_plus_19502\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014873.lean\",\"22bb78233d0c4ddbfdf3b967b96cec2b7bd93dc5733b7f9a5c334dbf356bbd89\",0,\"lean_workbook_plus_19503\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014874.lean\",\"12eff88604fc18eded3efdcb78e7019f3890d801fa41ff0e12e682287c80890a\",0,\"lean_workbook_plus_19505\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152297,
+      "path": "data/train/p7a/goedel_workbook-000594-0000-051ac9abcb2a6159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "051ac9abcb2a6159115e9352a0d3aef28b3742a37b09f0cfc734078f137c564f"
+    },
+    {
+      "bytes": 67790,
+      "path": "data/dev/p7a/goedel_workbook-000594-0000-6301a00794c85c7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6301a00794c85c7d39e59b45c539e3a4216affa71dc3dff418c07f93fd180ede"
+    },
+    {
+      "bytes": 41492,
+      "path": "data/internal_test/p7a/goedel_workbook-000594-0000-64ecd16a31f51b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "64ecd16a31f51b72c089f0085c67d1d95faf257df0c50b056b95d3bb6f60113e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000595.json b/manifests/batches/goedel_workbook/000595.json
index 79d4f76482a203565f4959f41aae0fc2492dff4c..ae9b18e813d94ebd362e95fe5cda426bd37d69ce 100644
--- a/manifests/batches/goedel_workbook/000595.json
+++ b/manifests/batches/goedel_workbook/000595.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000595",
   "batch_fingerprint": "32654841afc5d41ac9547b76a14480cf23ce76534322564a721aeb129027f57a",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000595-0000-1bd8e586fdc8decd.parquet",
-      "sha256": "1bd8e586fdc8decdbffef5388ffd68622c8e710b646f24d751ab3a878637e632",
-      "bytes": 122218,
-      "rows": 29,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000595-0000-d1a7b3308b7366fb.parquet",
-      "sha256": "d1a7b3308b7366fb0ca7ec86bb39acc5349278c18f74eb58cad960de961daeca",
-      "bytes": 25333,
-      "rows": 1,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19517",
     "goedel_workbook:lean_workbook_plus_19521",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014894.lean\",\"17198daf58cecad48f207a8f8a0f191a5c68fc2611795b6b789d32884daae271\",0,\"lean_workbook_plus_19594\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014896.lean\",\"cfd8bdc3c0c7fe9d6e3340a60f5ab6835b562e71255d9c79828b8312563aa029\",0,\"lean_workbook_plus_196\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014899.lean\",\"4048749ab367cc20000528dd29d050cf6123abb647bba526e2b16edef6ce8149\",0,\"lean_workbook_plus_1961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122218,
+      "path": "data/train/p60/goedel_workbook-000595-0000-1bd8e586fdc8decd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1bd8e586fdc8decdbffef5388ffd68622c8e710b646f24d751ab3a878637e632"
+    },
+    {
+      "bytes": 25333,
+      "path": "data/dev/p60/goedel_workbook-000595-0000-d1a7b3308b7366fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d1a7b3308b7366fb0ca7ec86bb39acc5349278c18f74eb58cad960de961daeca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000596.json b/manifests/batches/goedel_workbook/000596.json
index eb8580d6f5ccd6c4c9f402079646b65fafee2a3f..0a8f639308aeff09fdcefc5222512d37c65ce80c 100644
--- a/manifests/batches/goedel_workbook/000596.json
+++ b/manifests/batches/goedel_workbook/000596.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000596",
   "batch_fingerprint": "f4bed74a575379d2188c660d63b89cff220b2bf662b8a5a6a1b85c0970f372e1",
   "evidence": {
@@ -181,36 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000596-0000-65d878bda529cba1.parquet",
-      "sha256": "65d878bda529cba108b8a893c26babcf7c6c1a1b04794b6c6c38a0454ede96ba",
-      "bytes": 379145,
-      "rows": 35,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    },
-    {
-      "path": "data/train/goedel_workbook-000596-0001-e908f4f364e999a2.parquet",
-      "sha256": "e908f4f364e999a2e839c7f777e88704383f7e9dd65728d2cfc1ff9212d2ea5c",
-      "bytes": 315222,
-      "rows": 23,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000596-0000-1ed26a29f47a682b.parquet",
-      "sha256": "1ed26a29f47a682bf102753efd80de375a3e9b07ab441f4501ba1662459385af",
-      "bytes": 29180,
-      "rows": 1,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000596-0000-86d1fd579be5e8b2.parquet",
-      "sha256": "86d1fd579be5e8b21de40fc2820716be9eaf7f734393e08c4d0e335a4bd4a8bb",
-      "bytes": 52746,
-      "rows": 4,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19617",
     "goedel_workbook:lean_workbook_plus_19627",
@@ -246,5 +216,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014921.lean\",\"19f37b70527b8496d33349a45be71d03f7cc7891df74ed295aa6f0d15bf86088\",0,\"lean_workbook_plus_19714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014922.lean\",\"31bcc94b94901b8aa7150dbdec35dc4956ac3a3d4d804e63e993f3690759b63b\",0,\"lean_workbook_plus_19716\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014923.lean\",\"15ec202b87eeb85fb8e965ef0b60dffa1f3a5e6610952cf38bc9e5cab0139c21\",0,\"lean_workbook_plus_19718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379145,
+      "path": "data/train/pac/goedel_workbook-000596-0000-65d878bda529cba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "65d878bda529cba108b8a893c26babcf7c6c1a1b04794b6c6c38a0454ede96ba"
+    },
+    {
+      "bytes": 315222,
+      "path": "data/train/pac/goedel_workbook-000596-0001-e908f4f364e999a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "e908f4f364e999a2e839c7f777e88704383f7e9dd65728d2cfc1ff9212d2ea5c"
+    },
+    {
+      "bytes": 29180,
+      "path": "data/dev/pac/goedel_workbook-000596-0000-1ed26a29f47a682b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1ed26a29f47a682bf102753efd80de375a3e9b07ab441f4501ba1662459385af"
+    },
+    {
+      "bytes": 52746,
+      "path": "data/internal_test/pac/goedel_workbook-000596-0000-86d1fd579be5e8b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "86d1fd579be5e8b21de40fc2820716be9eaf7f734393e08c4d0e335a4bd4a8bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000597.json b/manifests/batches/goedel_workbook/000597.json
index f68fe0edeac63be976764e5476dfb1fa415acc43..35a1602b206178d423d4d23a9450988dd2372d37 100644
--- a/manifests/batches/goedel_workbook/000597.json
+++ b/manifests/batches/goedel_workbook/000597.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000597",
   "batch_fingerprint": "004608f9ef9f42ecd860fc777b4536e3e122b474d21b6587edb82d5b63a76ddd",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000597-0000-45a3c6c9520df6e7.parquet",
-      "sha256": "45a3c6c9520df6e7526cf578668d496e207b895f55d8815901447be164b3a545",
-      "bytes": 153901,
-      "rows": 35,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000597-0000-bf04f30e84650487.parquet",
-      "sha256": "bf04f30e84650487ce66865a07974ea39bd51a69e6226c9ce569130f1aec8b84",
-      "bytes": 40015,
-      "rows": 2,
-      "revision": "27e1bb90396ad14cc7c450067241e807a91dd312"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19729",
     "goedel_workbook:lean_workbook_plus_19731",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014944.lean\",\"ec7c9d786f99955adb525b864c44cdf74a2dc3827e7e867900a1d24782802928\",0,\"lean_workbook_plus_19793\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014947.lean\",\"31be9802f6e2ebc6ff454434201b51b522662701c35975c232274d126a9f0c0c\",0,\"lean_workbook_plus_19806\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014948.lean\",\"a3a25558be001dd18a2eff97916af7eeb1f259da2feca3b7b6add5d9faf26afb\",0,\"lean_workbook_plus_19809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153901,
+      "path": "data/train/p4b/goedel_workbook-000597-0000-45a3c6c9520df6e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "45a3c6c9520df6e7526cf578668d496e207b895f55d8815901447be164b3a545"
+    },
+    {
+      "bytes": 40015,
+      "path": "data/dev/p4b/goedel_workbook-000597-0000-bf04f30e84650487.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bf04f30e84650487ce66865a07974ea39bd51a69e6226c9ce569130f1aec8b84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000598.json b/manifests/batches/goedel_workbook/000598.json
index 6f3624650fbedc7c4a127657cf5ce65dfde00c43..2100f8b42f1079d0dcaee5c82635c89bba4b6329 100644
--- a/manifests/batches/goedel_workbook/000598.json
+++ b/manifests/batches/goedel_workbook/000598.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000598",
   "batch_fingerprint": "f7cc4f1aa1c9bb2de3c26a75a2ef8e991210b48368a4c5b6d3449a59dd7c392d",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000598-0000-6d89b73471566ecb.parquet",
-      "sha256": "6d89b73471566ecb1172d6a9539c86cebd04057d0d23190f8a7cadb001ba23ca",
-      "bytes": 168386,
-      "rows": 44,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000598-0000-00890acc45f4c2f0.parquet",
-      "sha256": "00890acc45f4c2f04473a39b59224843812dd95ccdff403e072fde68cd8dfe13",
-      "bytes": 39396,
-      "rows": 3,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000598-0000-ddf24e05bcf69ffe.parquet",
-      "sha256": "ddf24e05bcf69ffee2881764c60beb39381c1d2fb24621e815c27fba9f3893f6",
-      "bytes": 56102,
-      "rows": 7,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19839",
     "goedel_workbook:lean_workbook_plus_1984",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014972.lean\",\"1d9e2f3a4027c947f527d1d07434d9d7a579b8b0a93ada580177291184ff2628\",0,\"lean_workbook_plus_19942\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014973.lean\",\"b9ad1c4ecf83ceac4df772ce09f6803249d10fdb68f1aafc86d65a914ccb3ed2\",0,\"lean_workbook_plus_19943\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014974.lean\",\"8f37c2d4cf8f9f95fc3969cbb460b9a2f52fc3139bce51cd9bca3c4cb3063754\",0,\"lean_workbook_plus_19945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168386,
+      "path": "data/train/pee/goedel_workbook-000598-0000-6d89b73471566ecb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "6d89b73471566ecb1172d6a9539c86cebd04057d0d23190f8a7cadb001ba23ca"
+    },
+    {
+      "bytes": 39396,
+      "path": "data/dev/pee/goedel_workbook-000598-0000-00890acc45f4c2f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00890acc45f4c2f04473a39b59224843812dd95ccdff403e072fde68cd8dfe13"
+    },
+    {
+      "bytes": 56102,
+      "path": "data/internal_test/pee/goedel_workbook-000598-0000-ddf24e05bcf69ffe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ddf24e05bcf69ffee2881764c60beb39381c1d2fb24621e815c27fba9f3893f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000599.json b/manifests/batches/goedel_workbook/000599.json
index eea84b1844691bc13981f066a0d1843855cc1119..df050cdb7273c18b73fcbccb1b0b17309d8f020c 100644
--- a/manifests/batches/goedel_workbook/000599.json
+++ b/manifests/batches/goedel_workbook/000599.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000599",
   "batch_fingerprint": "c6504ff1e9b8b514c9c710d10b597c0e0b8be26c985cca31fac6ba4feb585e8e",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000599-0000-330ba82fc5358aa7.parquet",
-      "sha256": "330ba82fc5358aa7b39e77813b8fa9b93984b656c76ca67995eac5e3d66e537b",
-      "bytes": 97800,
-      "rows": 28,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000599-0000-1e06800f56ba1eea.parquet",
-      "sha256": "1e06800f56ba1eea414cb64dc2613b25e868463734390c0c39785564d58b88c0",
-      "bytes": 52060,
-      "rows": 11,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000599-0000-5800354ceb62bd64.parquet",
-      "sha256": "5800354ceb62bd646c9d16fabfe30c44e3999e08ad5c807e238b72facfa95a40",
-      "bytes": 35537,
-      "rows": 2,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_19946",
     "goedel_workbook:lean_workbook_plus_19963",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014997.lean\",\"06f6ca48d958a3b27a054fe21295eaab4c0ca7b20eb98cbfe7eb27e406dbe130\",0,\"lean_workbook_plus_20061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014998.lean\",\"dbc0f50389e8d1537d723968e6add7651e9eec65ce8885bbbbadacb8a98f5143\",0,\"lean_workbook_plus_20066\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_014999.lean\",\"15ec2d49a21cac9dad452485e462bcdf9aca463dbaf15b15d7243fb52dee8d7c\",0,\"lean_workbook_plus_20074\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97800,
+      "path": "data/train/p8d/goedel_workbook-000599-0000-330ba82fc5358aa7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "330ba82fc5358aa7b39e77813b8fa9b93984b656c76ca67995eac5e3d66e537b"
+    },
+    {
+      "bytes": 52060,
+      "path": "data/dev/p8d/goedel_workbook-000599-0000-1e06800f56ba1eea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1e06800f56ba1eea414cb64dc2613b25e868463734390c0c39785564d58b88c0"
+    },
+    {
+      "bytes": 35537,
+      "path": "data/internal_test/p8d/goedel_workbook-000599-0000-5800354ceb62bd64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5800354ceb62bd646c9d16fabfe30c44e3999e08ad5c807e238b72facfa95a40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000600.json b/manifests/batches/goedel_workbook/000600.json
index ce1f58f59da70205304736df87dc7bc5ed8f9a31..2dcd79f2cccb77bea6677eb14c6d10299c99b7c1 100644
--- a/manifests/batches/goedel_workbook/000600.json
+++ b/manifests/batches/goedel_workbook/000600.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000600",
   "batch_fingerprint": "dda05ddc566158fea9e09ff8478d71c6544bfdbfbfc4acd1138253e44eaab458",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000600-0000-aaa6f4afa255838f.parquet",
-      "sha256": "aaa6f4afa255838f424b7a195468149b4ad67ef98ac74c8eec14b3e16f04e55b",
-      "bytes": 95940,
-      "rows": 21,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000600-0000-251c0b5df849e069.parquet",
-      "sha256": "251c0b5df849e0696f7cc1bb3c49f4a758e95ccbad3fccfaca7a30a4ceadd57e",
-      "bytes": 32374,
-      "rows": 3,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000600-0000-ade396f38ea89068.parquet",
-      "sha256": "ade396f38ea8906811548bcff94059ad4d0ce8ddb3d818ecd9693bd0e3c05b29",
-      "bytes": 46736,
-      "rows": 7,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20083",
     "goedel_workbook:lean_workbook_plus_20095",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015022.lean\",\"157e191a20dec3f1046d924b01e60daa09ac55501ed2946f751365acae449f63\",0,\"lean_workbook_plus_20180\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015023.lean\",\"0e947663455dcc6c059b0a60f032456625007f3257b3da837f1ece2dbdbce65c\",0,\"lean_workbook_plus_20183\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015024.lean\",\"05be5981b40362c70d27ef55fd5685d7f246d10bd3b0708d4b0f51e2d4628b90\",0,\"lean_workbook_plus_20186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95940,
+      "path": "data/train/p68/goedel_workbook-000600-0000-aaa6f4afa255838f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "aaa6f4afa255838f424b7a195468149b4ad67ef98ac74c8eec14b3e16f04e55b"
+    },
+    {
+      "bytes": 32374,
+      "path": "data/dev/p68/goedel_workbook-000600-0000-251c0b5df849e069.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "251c0b5df849e0696f7cc1bb3c49f4a758e95ccbad3fccfaca7a30a4ceadd57e"
+    },
+    {
+      "bytes": 46736,
+      "path": "data/internal_test/p68/goedel_workbook-000600-0000-ade396f38ea89068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ade396f38ea8906811548bcff94059ad4d0ce8ddb3d818ecd9693bd0e3c05b29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000601.json b/manifests/batches/goedel_workbook/000601.json
index 46fb6f57f0b9c4cf8e1af61f71572a0e6c8bd565..874ad3ee5741fab0bce41db694e4feae21fd8e3f 100644
--- a/manifests/batches/goedel_workbook/000601.json
+++ b/manifests/batches/goedel_workbook/000601.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000601",
   "batch_fingerprint": "05e6b9781b30cf8f5234254db839899e76a2298f04a061eb5f2458a6771fd026",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000601-0000-f0ccd742340de8cf.parquet",
-      "sha256": "f0ccd742340de8cf3ba970bee26ce9822d09a160a870928b12dcfb79efd5a5f5",
-      "bytes": 91270,
-      "rows": 23,
-      "revision": "58a0c5456d7373ebc1a0026dfefd4265de09c430"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000601-0000-03f81b6f026ef234.parquet",
-      "sha256": "03f81b6f026ef234cb95db9cbc8bf00ecd8e1b8b32df504b4e6b0a7fa17c3af2",
-      "bytes": 128033,
-      "rows": 11,
-      "revision": "58a0c5456d7373ebc1a0026dfefd4265de09c430"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000601-0000-4d85c88cf5d5fcef.parquet",
-      "sha256": "4d85c88cf5d5fcef5c8bc29445658e87e27d3f1435559b3f1bf75a8d47b210e8",
-      "bytes": 60338,
-      "rows": 11,
-      "revision": "58a0c5456d7373ebc1a0026dfefd4265de09c430"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20207",
     "goedel_workbook:lean_workbook_plus_20215",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015047.lean\",\"fc0fcab2c3c89b8e8ac3cdaf1861f0d3ef5ec7164f8b551235f68e37d23a8e38\",0,\"lean_workbook_plus_20277\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015048.lean\",\"208f580fe4cf5c955b3cae7af342fdd4269b589d06a61a830d1a6b924b0bb2eb\",0,\"lean_workbook_plus_20288\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015049.lean\",\"3834126176c12199da48d6f462262b846a7522566f5628401b174c627f3d65a8\",0,\"lean_workbook_plus_20290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91270,
+      "path": "data/train/pea/goedel_workbook-000601-0000-f0ccd742340de8cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f0ccd742340de8cf3ba970bee26ce9822d09a160a870928b12dcfb79efd5a5f5"
+    },
+    {
+      "bytes": 128033,
+      "path": "data/dev/pea/goedel_workbook-000601-0000-03f81b6f026ef234.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "03f81b6f026ef234cb95db9cbc8bf00ecd8e1b8b32df504b4e6b0a7fa17c3af2"
+    },
+    {
+      "bytes": 60338,
+      "path": "data/internal_test/pea/goedel_workbook-000601-0000-4d85c88cf5d5fcef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4d85c88cf5d5fcef5c8bc29445658e87e27d3f1435559b3f1bf75a8d47b210e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000602.json b/manifests/batches/goedel_workbook/000602.json
index 7c8408e933f225ef5232f6dc7cb3536084be6fa3..f9bdaa60258de73ba5d98078230ca7f6e674dc65 100644
--- a/manifests/batches/goedel_workbook/000602.json
+++ b/manifests/batches/goedel_workbook/000602.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000602",
   "batch_fingerprint": "afba4374d637c0b60b3187a93fdb91f4a1bead35728746606a822f30b57f5209",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000602-0000-c5d8008257a554a8.parquet",
-      "sha256": "c5d8008257a554a82cf9305c7081cba5f59f47630a7ea5ce0003b4a4ce1f3530",
-      "bytes": 78137,
-      "rows": 17,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000602-0000-bc80c70622f5b4aa.parquet",
-      "sha256": "bc80c70622f5b4aaabb90d9e50375863897c43e6fea8e7cbe8878f7f9c856d19",
-      "bytes": 43136,
-      "rows": 8,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20307",
     "goedel_workbook:lean_workbook_plus_2031",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015070.lean\",\"81aa5b560d1c5e9544ba3eba5e90e78f963b0fea071936d629116d0f0aaf6379\",0,\"lean_workbook_plus_20392\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015073.lean\",\"720469d7225d130cc30ddd7e7250bd7fe1f71373f046fe016aad11471e210147\",0,\"lean_workbook_plus_2041\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015074.lean\",\"14d1cfc902e4f1af7711b12a169e7cfbd1c45fa2b2ec23bd2ae303dfce83ddea\",0,\"lean_workbook_plus_20414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78137,
+      "path": "data/train/p6f/goedel_workbook-000602-0000-c5d8008257a554a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c5d8008257a554a82cf9305c7081cba5f59f47630a7ea5ce0003b4a4ce1f3530"
+    },
+    {
+      "bytes": 43136,
+      "path": "data/internal_test/p6f/goedel_workbook-000602-0000-bc80c70622f5b4aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bc80c70622f5b4aaabb90d9e50375863897c43e6fea8e7cbe8878f7f9c856d19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000603.json b/manifests/batches/goedel_workbook/000603.json
index 800448ec6c45e64040e603a3453638fb5250e09f..f179ad17259a46f9387d603a4d1c9dfc8cc846c2 100644
--- a/manifests/batches/goedel_workbook/000603.json
+++ b/manifests/batches/goedel_workbook/000603.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000603",
   "batch_fingerprint": "28ec418446ea6ad69cb91e3a0b5cf45d9263dc3afcd4213a0563938874339c66",
   "evidence": {
@@ -164,29 +163,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000603-0000-76b44e952b0ab3e1.parquet",
-      "sha256": "76b44e952b0ab3e1071cb5359714bac9f3045b58d56e77d21139040f8d88ca50",
-      "bytes": 160207,
-      "rows": 41,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000603-0000-66205d071dd17ed2.parquet",
-      "sha256": "66205d071dd17ed2a587e78d20efa095fcbfa74dca7f0e779afb979fa7aec5aa",
-      "bytes": 66649,
-      "rows": 14,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000603-0000-9b6838640749052d.parquet",
-      "sha256": "9b6838640749052d3598d346674e4c8fdf92bab5592a8410dde03d5a98d1544c",
-      "bytes": 52096,
-      "rows": 6,
-      "revision": "199775efeddd3ad829a430e99ca53bfe6a130160"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20423",
     "goedel_workbook:lean_workbook_plus_2043",
@@ -224,5 +201,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015092.lean\",\"2d3a79a2d1cff96140916903b2302ef8925193dc31718b5acc3b47ff0ea71885\",0,\"lean_workbook_plus_20498\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015093.lean\",\"0e2ca3871d96bb548d9491d9b1c927ed96b0c572b37349b72cfb157e2c2922a4\",0,\"lean_workbook_plus_2050\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015096.lean\",\"5f454e01bc1ea810791e41f6aa8905db0704acd59efd062e618b23e96906eb6b\",0,\"lean_workbook_plus_20503\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160207,
+      "path": "data/train/p39/goedel_workbook-000603-0000-76b44e952b0ab3e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "76b44e952b0ab3e1071cb5359714bac9f3045b58d56e77d21139040f8d88ca50"
+    },
+    {
+      "bytes": 66649,
+      "path": "data/dev/p39/goedel_workbook-000603-0000-66205d071dd17ed2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "66205d071dd17ed2a587e78d20efa095fcbfa74dca7f0e779afb979fa7aec5aa"
+    },
+    {
+      "bytes": 52096,
+      "path": "data/internal_test/p39/goedel_workbook-000603-0000-9b6838640749052d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9b6838640749052d3598d346674e4c8fdf92bab5592a8410dde03d5a98d1544c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000604.json b/manifests/batches/goedel_workbook/000604.json
index b231e3d916094a1ccb3fba042fe834ea525bafdf..6e1a143f6a2ccd461033e188ca6de8f9a896f035 100644
--- a/manifests/batches/goedel_workbook/000604.json
+++ b/manifests/batches/goedel_workbook/000604.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000604",
   "batch_fingerprint": "e4ae4c6d9fd76fa68d8e35e177450762a4e48fdec1ab2345793b11d3e51e0fae",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000604-0000-76ca790d9b69c36d.parquet",
-      "sha256": "76ca790d9b69c36dabea4112e81bd91eb73ddcf8afdc67d8012d79c9a11ceb6a",
-      "bytes": 188318,
-      "rows": 39,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000604-0000-3d4a0c6c9db253fb.parquet",
-      "sha256": "3d4a0c6c9db253fb059e20b8f086687bff83ec52cea3c83d04274f4ea7a77a15",
-      "bytes": 37505,
-      "rows": 2,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000604-0000-435105d76f5ebda3.parquet",
-      "sha256": "435105d76f5ebda3a9caa45889e51d201414ba0d9d046ec0a9fc99e1b0f9eb02",
-      "bytes": 58816,
-      "rows": 9,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20550",
     "goedel_workbook:lean_workbook_plus_20551",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015121.lean\",\"605cd9dbc732dfe95a7b1b04b590c49607680fcec35b279f503f7e70518ca7bd\",0,\"lean_workbook_plus_20670\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015123.lean\",\"20326ef4206551e3d2d53273b3932147378f226dae312997dd601fdf7d72b694\",0,\"lean_workbook_plus_20673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015124.lean\",\"11b3770d740c1afccf3c4bf2e7125b958454bbe303f0317d3936671ca2d572e0\",0,\"lean_workbook_plus_20676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188318,
+      "path": "data/train/p74/goedel_workbook-000604-0000-76ca790d9b69c36d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "76ca790d9b69c36dabea4112e81bd91eb73ddcf8afdc67d8012d79c9a11ceb6a"
+    },
+    {
+      "bytes": 37505,
+      "path": "data/dev/p74/goedel_workbook-000604-0000-3d4a0c6c9db253fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3d4a0c6c9db253fb059e20b8f086687bff83ec52cea3c83d04274f4ea7a77a15"
+    },
+    {
+      "bytes": 58816,
+      "path": "data/internal_test/p74/goedel_workbook-000604-0000-435105d76f5ebda3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "435105d76f5ebda3a9caa45889e51d201414ba0d9d046ec0a9fc99e1b0f9eb02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000605.json b/manifests/batches/goedel_workbook/000605.json
index eef8fa58850b4315ae60b5dffa87fc4f503507b9..8630463fe43767e0a71ad7c9f826ff4d7f55aba5 100644
--- a/manifests/batches/goedel_workbook/000605.json
+++ b/manifests/batches/goedel_workbook/000605.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000605",
   "batch_fingerprint": "6dfe3b70765c3be0251fedaec1fce94428118b7a222ac12cf6d5aa55616fad69",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000605-0000-03184a1784be558e.parquet",
-      "sha256": "03184a1784be558e0267de7debb08130a814177abeb1ffd0e6e8f59561fcd7e9",
-      "bytes": 213551,
-      "rows": 51,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000605-0000-28444bd2040b6f03.parquet",
-      "sha256": "28444bd2040b6f03dc65fbb288d29f6e82d9277c7d76bc029146de8cf3851a8a",
-      "bytes": 32869,
-      "rows": 2,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20712",
     "goedel_workbook:lean_workbook_plus_20713",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015145.lean\",\"dce0967d89894c094f7836d9bf5ab63043a48000b2141172855058bfd4a2abae\",0,\"lean_workbook_plus_20796\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015147.lean\",\"325ccbb7c4f20d1342600cb4305779f5df8472cda27eb98f987b86ce9aac71cb\",0,\"lean_workbook_plus_2080\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015148.lean\",\"79a00e1560923f6225f6abf28f9b55880fa4b46d3c0b5ad0f731e6664d76ea51\",0,\"lean_workbook_plus_20802\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213551,
+      "path": "data/train/p64/goedel_workbook-000605-0000-03184a1784be558e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "03184a1784be558e0267de7debb08130a814177abeb1ffd0e6e8f59561fcd7e9"
+    },
+    {
+      "bytes": 32869,
+      "path": "data/internal_test/p64/goedel_workbook-000605-0000-28444bd2040b6f03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "28444bd2040b6f03dc65fbb288d29f6e82d9277c7d76bc029146de8cf3851a8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000606.json b/manifests/batches/goedel_workbook/000606.json
index 24412ad14e957e63ff4d9a284d552f543a814d6e..278437626d18ea11b501a5615f5bf984888eaaab 100644
--- a/manifests/batches/goedel_workbook/000606.json
+++ b/manifests/batches/goedel_workbook/000606.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000606",
   "batch_fingerprint": "3221255f25c8507d4276323a8df3238810bfc4e00a15be252d143f8d13a91e01",
   "evidence": {
@@ -280,29 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000606-0000-25b6f030b46bfada.parquet",
-      "sha256": "25b6f030b46bfada8c653bb458842b5dd911dd12be43fbb99ce2b1142ef2cb7c",
-      "bytes": 152832,
-      "rows": 33,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000606-0000-54878ced7d83ebd4.parquet",
-      "sha256": "54878ced7d83ebd48feec52bcbcc14fd8dcf66443a54cb795b7d66af930e82cd",
-      "bytes": 59375,
-      "rows": 7,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000606-0000-b21efbf10a9b2cc0.parquet",
-      "sha256": "b21efbf10a9b2cc0ca0c27988724c9b7b19fb809ca74f2f57ef7f9e52dc34075",
-      "bytes": 37318,
-      "rows": 1,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20807",
     "goedel_workbook:lean_workbook_plus_20808",
@@ -328,5 +305,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015160.lean\",\"3c9e8bb38a6a99fe512d6c99a68031d38c07a37c394a0bd45eb9594277b95632\",0,\"lean_workbook_plus_20864\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015162.lean\",\"bea5da79d37238bec792625eae427219097691057bc43df8fcd4a932feca82ee\",0,\"lean_workbook_plus_20870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015170.lean\",\"5a3a2f3600d475c9ac24bcd9ec2831fed32b74b9a7a513a91ec6703a73eb3ece\",0,\"lean_workbook_plus_20915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152832,
+      "path": "data/train/p94/goedel_workbook-000606-0000-25b6f030b46bfada.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "25b6f030b46bfada8c653bb458842b5dd911dd12be43fbb99ce2b1142ef2cb7c"
+    },
+    {
+      "bytes": 59375,
+      "path": "data/dev/p94/goedel_workbook-000606-0000-54878ced7d83ebd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "54878ced7d83ebd48feec52bcbcc14fd8dcf66443a54cb795b7d66af930e82cd"
+    },
+    {
+      "bytes": 37318,
+      "path": "data/internal_test/p94/goedel_workbook-000606-0000-b21efbf10a9b2cc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b21efbf10a9b2cc0ca0c27988724c9b7b19fb809ca74f2f57ef7f9e52dc34075"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000607.json b/manifests/batches/goedel_workbook/000607.json
index 61b4198d993e2085845ee5ccb68bc65c08e65f18..bac5b0ca45668f2f734488ba668b34a4dd7f95aa 100644
--- a/manifests/batches/goedel_workbook/000607.json
+++ b/manifests/batches/goedel_workbook/000607.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000607",
   "batch_fingerprint": "dceb246743f47d9b16d26b70eeced4030273d85ccfac93d3bbde1238bdd6dd5c",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000607-0000-c06a486c8598d369.parquet",
-      "sha256": "c06a486c8598d3697342205e80ae254e4c3c0702b0b5adfb81f50960082f142a",
-      "bytes": 222254,
-      "rows": 46,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000607-0000-aeec63b97af9c0fa.parquet",
-      "sha256": "aeec63b97af9c0fa0064b2ccd82cf6316d899290067e281dd4f7a64ee7b1720f",
-      "bytes": 39973,
-      "rows": 3,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_20946",
     "goedel_workbook:lean_workbook_plus_20949",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015197.lean\",\"506e5046fd9b6bd0a8527ecba96899328beace1db9b2caffd2568e136af29502\",0,\"lean_workbook_plus_21011\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015198.lean\",\"41ac72e3e8b3d770ec2f414a5627f0cd4afcb108dc2db12b7ecad3259acfca29\",0,\"lean_workbook_plus_21012\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015199.lean\",\"2c7d8a2c867424c8fcc1c519877a7a4ace294e21330f9a38572e5fe8fc1f0f40\",0,\"lean_workbook_plus_21013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222254,
+      "path": "data/train/p4b/goedel_workbook-000607-0000-c06a486c8598d369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c06a486c8598d3697342205e80ae254e4c3c0702b0b5adfb81f50960082f142a"
+    },
+    {
+      "bytes": 39973,
+      "path": "data/internal_test/p4b/goedel_workbook-000607-0000-aeec63b97af9c0fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "aeec63b97af9c0fa0064b2ccd82cf6316d899290067e281dd4f7a64ee7b1720f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000608.json b/manifests/batches/goedel_workbook/000608.json
index 4284572e1210a3af5b03fffc7eab3cc0c25e15f5..97b4f26697e7f62bc0aa8ca2e56a0e892f9fe24e 100644
--- a/manifests/batches/goedel_workbook/000608.json
+++ b/manifests/batches/goedel_workbook/000608.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000608",
   "batch_fingerprint": "4074d3769fc4035b8d61ec9ca43e3d579a000cfb90880237d18f27b670a9d627",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000608-0000-3622dd094624f214.parquet",
-      "sha256": "3622dd094624f214ad52c391180bcd7a4725883317098e705a1dbdc4997c507f",
-      "bytes": 135578,
-      "rows": 33,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000608-0000-461080dc1602c5d8.parquet",
-      "sha256": "461080dc1602c5d8cdd55e7c4e923f8ba5ab42c40742e40f738e02bfbafbfdcc",
-      "bytes": 57550,
-      "rows": 6,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21014",
     "goedel_workbook:lean_workbook_plus_21016",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015222.lean\",\"07024a7fb0ee112628147a9d8ada3525e0fceeace55445e61318414d9e8d6cb4\",0,\"lean_workbook_plus_21111\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015223.lean\",\"2aed9827e7e6e109b8995e6c1eb743a67f3bec2f9c98cf23aaf2597c0bc3e158\",0,\"lean_workbook_plus_21112\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015224.lean\",\"f0ee965a78bfc5f87f91b1ecb6a49ffe1443c8e322afc4dc3e3f5334bcb817cf\",0,\"lean_workbook_plus_21113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135578,
+      "path": "data/train/pd6/goedel_workbook-000608-0000-3622dd094624f214.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3622dd094624f214ad52c391180bcd7a4725883317098e705a1dbdc4997c507f"
+    },
+    {
+      "bytes": 57550,
+      "path": "data/internal_test/pd6/goedel_workbook-000608-0000-461080dc1602c5d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "461080dc1602c5d8cdd55e7c4e923f8ba5ab42c40742e40f738e02bfbafbfdcc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000609.json b/manifests/batches/goedel_workbook/000609.json
index d939dfe8a9871b875db7892ccb9e067d4096ead4..8a75eb4a12f48314f20b7bc37ca5af3d73501e93 100644
--- a/manifests/batches/goedel_workbook/000609.json
+++ b/manifests/batches/goedel_workbook/000609.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000609",
   "batch_fingerprint": "7d4f9d4ee0d473817b558cc800e569fefcb7b43c537e8ee0b9b69b00510a6c3a",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000609-0000-a4656b184c1e3139.parquet",
-      "sha256": "a4656b184c1e313940adf10bfa3703a9b9264f7c3c6b18389b6fe4118db07455",
-      "bytes": 277724,
-      "rows": 70,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000609-0000-ce1ff5d86aa3e9d7.parquet",
-      "sha256": "ce1ff5d86aa3e9d7b9d3606d8fea65a700f0cf8fdc6058d3b2708b0aaa76af7d",
-      "bytes": 30637,
-      "rows": 1,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21137",
     "goedel_workbook:lean_workbook_plus_21142",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015246.lean\",\"c2fa70a12f9c407837d6e313085f7450bfe0f5a8d83049f9feb042fc2efa9937\",0,\"lean_workbook_plus_2123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015247.lean\",\"92dbf866cb6bd59d132176dfa94da27e492efb4fa76093001444f084698508f8\",0,\"lean_workbook_plus_21232\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015248.lean\",\"86377d7abcb7c3ed560b7db2ae04e3d53f3ca2492806c527c84d120f267efa17\",0,\"lean_workbook_plus_21236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277724,
+      "path": "data/train/p08/goedel_workbook-000609-0000-a4656b184c1e3139.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "a4656b184c1e313940adf10bfa3703a9b9264f7c3c6b18389b6fe4118db07455"
+    },
+    {
+      "bytes": 30637,
+      "path": "data/dev/p08/goedel_workbook-000609-0000-ce1ff5d86aa3e9d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ce1ff5d86aa3e9d7b9d3606d8fea65a700f0cf8fdc6058d3b2708b0aaa76af7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000610.json b/manifests/batches/goedel_workbook/000610.json
index 413bef9060e665cad5b21ca0df952a3f21f5a52c..bc3e4cd8d7bfc012950a9d0611aa27b3bdbe9735 100644
--- a/manifests/batches/goedel_workbook/000610.json
+++ b/manifests/batches/goedel_workbook/000610.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000610",
   "batch_fingerprint": "817ea89ce874cc633c05023eabc99ef2d8183abc45d4ae1a75225d5c0ff6a2db",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000610-0000-eb71600ce7987573.parquet",
-      "sha256": "eb71600ce798757306fdd4c27200a08069b86e57a7d26dcf8afb9065e2cbdbbd",
-      "bytes": 191638,
-      "rows": 44,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000610-0000-c6fe730858e6e2d7.parquet",
-      "sha256": "c6fe730858e6e2d7cb7d5b2e052262dcc60d47b76e203f75b593c1224ab00473",
-      "bytes": 66390,
-      "rows": 7,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_2125",
     "goedel_workbook:lean_workbook_plus_21267",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015267.lean\",\"dcfd681b0d29859a6f1f90caeb5e465e3b3905f5ce166bbee1d8d257fb7bf205\",0,\"lean_workbook_plus_21324\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015270.lean\",\"5232e478c65d02eca0af0032baa2dbdda061ea92de2421cf1942b5c6fccc7a7e\",0,\"lean_workbook_plus_21330\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015273.lean\",\"7806a01fab3c1019ebc5a4a0fc73f01aea4ed756c82458bd8733ce53a3570dd9\",0,\"lean_workbook_plus_21348\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191638,
+      "path": "data/train/p6e/goedel_workbook-000610-0000-eb71600ce7987573.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "eb71600ce798757306fdd4c27200a08069b86e57a7d26dcf8afb9065e2cbdbbd"
+    },
+    {
+      "bytes": 66390,
+      "path": "data/internal_test/p6e/goedel_workbook-000610-0000-c6fe730858e6e2d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c6fe730858e6e2d7cb7d5b2e052262dcc60d47b76e203f75b593c1224ab00473"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000611.json b/manifests/batches/goedel_workbook/000611.json
index fc09bd0bd6c1203f720177b996f9957f51f9882e..ad6ad03b4209aa08c36aed95b1453134e76a070d 100644
--- a/manifests/batches/goedel_workbook/000611.json
+++ b/manifests/batches/goedel_workbook/000611.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000611",
   "batch_fingerprint": "be824bdd9f52951595e0f791135ba081342eaff8219ba3b70b6155af22daf503",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000611-0000-4a2a343151ef5e83.parquet",
-      "sha256": "4a2a343151ef5e83f5a62b13a00b7d49365d3240091def58b6ca900cbe234eb1",
-      "bytes": 119296,
-      "rows": 30,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000611-0000-9e3e1faeaa2747db.parquet",
-      "sha256": "9e3e1faeaa2747dbd54704f07f0a38288bb415769aad6b802c879bde4f54bd63",
-      "bytes": 48471,
-      "rows": 6,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000611-0000-1f8ed956d6ecff62.parquet",
-      "sha256": "1f8ed956d6ecff625851aab932e06b9c46bc0b6a77ce3f833a29108ff4706773",
-      "bytes": 25992,
-      "rows": 1,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21352",
     "goedel_workbook:lean_workbook_plus_21372",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015296.lean\",\"24dfb7e2f3bceba0e3b66a18ece15a2e103882eaff50d5486a114ee7396128c0\",0,\"lean_workbook_plus_21452\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015298.lean\",\"aa4ae91638bff69df0b2d23087ff87af7233f293d907dea11b4cb8a5c124ca02\",0,\"lean_workbook_plus_21470\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015299.lean\",\"f32180fd710179868997c812195a0f8c08ae86febc929b90f57d84f80753725a\",0,\"lean_workbook_plus_21471\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119296,
+      "path": "data/train/p8c/goedel_workbook-000611-0000-4a2a343151ef5e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4a2a343151ef5e83f5a62b13a00b7d49365d3240091def58b6ca900cbe234eb1"
+    },
+    {
+      "bytes": 48471,
+      "path": "data/dev/p8c/goedel_workbook-000611-0000-9e3e1faeaa2747db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9e3e1faeaa2747dbd54704f07f0a38288bb415769aad6b802c879bde4f54bd63"
+    },
+    {
+      "bytes": 25992,
+      "path": "data/internal_test/p8c/goedel_workbook-000611-0000-1f8ed956d6ecff62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1f8ed956d6ecff625851aab932e06b9c46bc0b6a77ce3f833a29108ff4706773"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000612.json b/manifests/batches/goedel_workbook/000612.json
index ab1da3756dc3ce7c0519b12b72bdcefd226e4e76..227c8652fa6d580e1d2a28f699a106662a905fde 100644
--- a/manifests/batches/goedel_workbook/000612.json
+++ b/manifests/batches/goedel_workbook/000612.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000612",
   "batch_fingerprint": "8797ff43093709fdd07c5f6e291e4fa226438eba9a93a0e3328a6ea30fdc0198",
   "evidence": {
@@ -307,15 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000612-0000-48456251812a49ac.parquet",
-      "sha256": "48456251812a49ac1b8f20b3d4e2f4fa878eb3588d28ddb54e29beba6e621d3c",
-      "bytes": 91242,
-      "rows": 28,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21474",
     "goedel_workbook:lean_workbook_plus_21486",
@@ -337,5 +328,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015314.lean\",\"c88361ff2c5d421c357306556ec535ed205072b9b2feced59e37cf0123f26a2b\",0,\"lean_workbook_plus_21514\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015315.lean\",\"658e8037b3092f1618292e29d9cc9f44b6ab15ed65e43bec2d1699416a7f3263\",0,\"lean_workbook_plus_21515\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015322.lean\",\"3c3a7e7b82ce3943f82494996ae4dd296ffb559a6d2645cc066a043f423b8bb9\",0,\"lean_workbook_plus_21550\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91242,
+      "path": "data/train/p52/goedel_workbook-000612-0000-48456251812a49ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "48456251812a49ac1b8f20b3d4e2f4fa878eb3588d28ddb54e29beba6e621d3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000613.json b/manifests/batches/goedel_workbook/000613.json
index 7b3be577d55d65225dc12865f63e67d06b92ada7..5ff32cec5f9c9e65e6f718351ad277356443cf27 100644
--- a/manifests/batches/goedel_workbook/000613.json
+++ b/manifests/batches/goedel_workbook/000613.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000613",
   "batch_fingerprint": "3a9b3cbcf0be3e41877223133e0ad092da814e910d0dc1aeed6d2347397f4b6d",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000613-0000-e39bca33b1c54fa5.parquet",
-      "sha256": "e39bca33b1c54fa57aba7543b293bb054a17a06b4ac9c517f5a42f889f3a99c6",
-      "bytes": 103654,
-      "rows": 26,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000613-0000-0104841c8c936aa0.parquet",
-      "sha256": "0104841c8c936aa0fed5ee384b1a7f4b650ce20dbb5b0aae468f53c5e7f9f133",
-      "bytes": 45862,
-      "rows": 4,
-      "revision": "d97a3f19831f9d635f27cf7c407f67a7b74a2ff6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21571",
     "goedel_workbook:lean_workbook_plus_21575",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015344.lean\",\"d2b45967e031842b8b833c4e239b99fed479cfaff7fcc4901a34e8bf1d35dd91\",0,\"lean_workbook_plus_2164\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015345.lean\",\"b12bdcd5593800283c37da65dc0ab5ed9e8d58efaeb253ff04630cb825c7ab8b\",0,\"lean_workbook_plus_21642\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015349.lean\",\"7f54b8d12d1d0d187bcb1e7ba33cdc6f91626af08a65cf152269c3567f72362b\",0,\"lean_workbook_plus_2166\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103654,
+      "path": "data/train/pca/goedel_workbook-000613-0000-e39bca33b1c54fa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e39bca33b1c54fa57aba7543b293bb054a17a06b4ac9c517f5a42f889f3a99c6"
+    },
+    {
+      "bytes": 45862,
+      "path": "data/internal_test/pca/goedel_workbook-000613-0000-0104841c8c936aa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0104841c8c936aa0fed5ee384b1a7f4b650ce20dbb5b0aae468f53c5e7f9f133"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000614.json b/manifests/batches/goedel_workbook/000614.json
index 23e8aa71222304edfb52c87c39552f3c79a55cd6..7a089a1a2464de49151d042bb51e6488342ee7a1 100644
--- a/manifests/batches/goedel_workbook/000614.json
+++ b/manifests/batches/goedel_workbook/000614.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000614",
   "batch_fingerprint": "06b82533c09a6154ea5b6bdb2984665a55638cec9951b4a5ab53712911aa1bf9",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000614-0000-f44be57fe9129534.parquet",
-      "sha256": "f44be57fe9129534692679e32da94a6cdb2121a4e2a7ddba9648d5554f56d16e",
-      "bytes": 178169,
-      "rows": 40,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000614-0000-5d11d587d803c432.parquet",
-      "sha256": "5d11d587d803c4323f0828b61ff9d3749ea06aea74826d101d1bc2651241ab06",
-      "bytes": 77136,
-      "rows": 9,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000614-0000-00b7e0202fa70ba8.parquet",
-      "sha256": "00b7e0202fa70ba8a3a3870bb84fd2bea944c45d196bd94e4aaaf9dd7e20e34a",
-      "bytes": 35513,
-      "rows": 3,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21660",
     "goedel_workbook:lean_workbook_plus_21667",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015372.lean\",\"7bb663809595a6dae1bd8cce5db81afee3e263a69a00226fcfdf4ae9f6c4fe16\",0,\"lean_workbook_plus_21739\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015373.lean\",\"905c0ae792ca7558136e40eb775dac1ee3f13c0bbe1d4bcc3296bdf0ebc1507f\",0,\"lean_workbook_plus_21742\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015374.lean\",\"5e8fb6b300509b4a5cc9eee345fbde8ad85604d44fbb588fa7d90b2bd2646903\",0,\"lean_workbook_plus_21743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178169,
+      "path": "data/train/p1e/goedel_workbook-000614-0000-f44be57fe9129534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f44be57fe9129534692679e32da94a6cdb2121a4e2a7ddba9648d5554f56d16e"
+    },
+    {
+      "bytes": 77136,
+      "path": "data/dev/p1e/goedel_workbook-000614-0000-5d11d587d803c432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5d11d587d803c4323f0828b61ff9d3749ea06aea74826d101d1bc2651241ab06"
+    },
+    {
+      "bytes": 35513,
+      "path": "data/internal_test/p1e/goedel_workbook-000614-0000-00b7e0202fa70ba8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00b7e0202fa70ba8a3a3870bb84fd2bea944c45d196bd94e4aaaf9dd7e20e34a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000615.json b/manifests/batches/goedel_workbook/000615.json
index 9717ac88c9c0c1a669d97358c4aaabb1723d3731..a4a9c2b6aa2d820a2b69801ee63cde262665dead 100644
--- a/manifests/batches/goedel_workbook/000615.json
+++ b/manifests/batches/goedel_workbook/000615.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000615",
   "batch_fingerprint": "2a1d926029c3c9c69c46794dc04a256f92c3e80be6555ea02c2299a293c72df0",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000615-0000-5cd9c3ec9d38ebf3.parquet",
-      "sha256": "5cd9c3ec9d38ebf31b524447c868c5be656eaf2f014034ff44c6392622096ecc",
-      "bytes": 226761,
-      "rows": 39,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21750",
     "goedel_workbook:lean_workbook_plus_21756",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015397.lean\",\"cc3cdbb93e2d9546a998e3a923097c8b6d871ef0e683fee4fe092f0bfc8aef35\",0,\"lean_workbook_plus_21830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015398.lean\",\"fa5824f52498974019ea2d538ce74a0ce0c20838ba59913e42f57bae59d2ab67\",0,\"lean_workbook_plus_21837\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015399.lean\",\"28459759c0cd4eb0a295817412e8930f36efc70ea27c86287b383ec06521cb7d\",0,\"lean_workbook_plus_21840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226761,
+      "path": "data/train/pde/goedel_workbook-000615-0000-5cd9c3ec9d38ebf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "5cd9c3ec9d38ebf31b524447c868c5be656eaf2f014034ff44c6392622096ecc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000616.json b/manifests/batches/goedel_workbook/000616.json
index 96acf162c7c261b444d27c74912c02344aa5582e..f007f24792174205d420822f64e45615270159f3 100644
--- a/manifests/batches/goedel_workbook/000616.json
+++ b/manifests/batches/goedel_workbook/000616.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000616",
   "batch_fingerprint": "e2e3226852d30649e8f736da2e0e9da0927467e378b733a19244c0c39f5dafa8",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000616-0000-fec8e02663776809.parquet",
-      "sha256": "fec8e026637768092701c2a76a182aed4564f16e68141351fa25175bc06c8f68",
-      "bytes": 94586,
-      "rows": 23,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_21844",
     "goedel_workbook:lean_workbook_plus_21846",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015418.lean\",\"6d4830deafff572e583e57d320958f608af7ff2b75fb47b1ac536127bc101eb2\",0,\"lean_workbook_plus_21953\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015419.lean\",\"f9f6d209e3cbbefa8640cd7188160596980a3e110b68c2d54fa8cac1bfe1a241\",0,\"lean_workbook_plus_21954\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015424.lean\",\"69e30d0e5bc344853f296b71e6b17e87bcc1198e94b6226ac41fc2671b5aae2d\",0,\"lean_workbook_plus_21991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94586,
+      "path": "data/train/p39/goedel_workbook-000616-0000-fec8e02663776809.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "fec8e026637768092701c2a76a182aed4564f16e68141351fa25175bc06c8f68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000617.json b/manifests/batches/goedel_workbook/000617.json
index 06b615d29a3bd1778a6294f7f9b3a6b41f531abc..b3330cc8b5810a04816926eeab04d6cdbb6a9334 100644
--- a/manifests/batches/goedel_workbook/000617.json
+++ b/manifests/batches/goedel_workbook/000617.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000617",
   "batch_fingerprint": "514901ce3d6dd8d2671b4251b907bd0ab4a57fd98f8ae2379f3c3d4b300594f2",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000617-0000-2ad7e772e52838c2.parquet",
-      "sha256": "2ad7e772e52838c2051c881e19f0773501204683c464c135c11944d3b4cb6a89",
-      "bytes": 162063,
-      "rows": 35,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22000",
     "goedel_workbook:lean_workbook_plus_22002",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015447.lean\",\"abd6b60959c11e1e8d929f3be59ddfaea1d4c6085fb6726fde0eb680534d2254\",0,\"lean_workbook_plus_22080\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015448.lean\",\"0eb8ebdfc2970008a84360c5be9839f614f9cf02d4de61c1c79f6b88b30feb40\",0,\"lean_workbook_plus_22085\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015449.lean\",\"8644d5e2de7c488d00239559657fa4b9e57b665cc8a04dd162494bb76f29f697\",0,\"lean_workbook_plus_22087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162063,
+      "path": "data/train/p4d/goedel_workbook-000617-0000-2ad7e772e52838c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "2ad7e772e52838c2051c881e19f0773501204683c464c135c11944d3b4cb6a89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000618.json b/manifests/batches/goedel_workbook/000618.json
index 01a210e10cce1a94625d584f8078914e9edc30fb..365887e217bbc6f4a066775200a4094e971f8714 100644
--- a/manifests/batches/goedel_workbook/000618.json
+++ b/manifests/batches/goedel_workbook/000618.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000618",
   "batch_fingerprint": "829623a733d4bd174ce5d5ed7e1387f9f9c27b6a739d365b004916124d72bca0",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000618-0000-155cd570cef67848.parquet",
-      "sha256": "155cd570cef6784894d4de1183ddf3161325501a2c3f68e951f2c8cb23262136",
-      "bytes": 167090,
-      "rows": 51,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_2212",
     "goedel_workbook:lean_workbook_plus_22130",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015467.lean\",\"b70abc140e629e1061d9a2d218397b8fa8e40d65ab43f2e051cc69138f0d4b49\",0,\"lean_workbook_plus_22157\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015470.lean\",\"89cb1870bff4680637766e6e8237171cdd3260185c781bad9e568aed7a40e49f\",0,\"lean_workbook_plus_22175\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015472.lean\",\"80cd845f00bcf01517ceefdb5adb7987f807705802f9cdc39f98d643e3691aa1\",0,\"lean_workbook_plus_22182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167090,
+      "path": "data/train/pd3/goedel_workbook-000618-0000-155cd570cef67848.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "155cd570cef6784894d4de1183ddf3161325501a2c3f68e951f2c8cb23262136"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000619.json b/manifests/batches/goedel_workbook/000619.json
index 49cf3e1de35e2851cf350485c3724866d1bb6623..2228100a2a5616baa756eeffce2921f63bf9560e 100644
--- a/manifests/batches/goedel_workbook/000619.json
+++ b/manifests/batches/goedel_workbook/000619.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000619",
   "batch_fingerprint": "f9a55f02b537d17ddb63a5617900c266b00d16f5fffb8eb12c47f8c471a9c28b",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000619-0000-f3cbac3f136e6746.parquet",
-      "sha256": "f3cbac3f136e6746663ec09a40cf554290c1f0105a23afb1f9c45bb4524a11d8",
-      "bytes": 84477,
-      "rows": 20,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000619-0000-e658a57e71b1b41a.parquet",
-      "sha256": "e658a57e71b1b41a32ddddcd2bd8e9f3585d170349e058d2aab6840218741712",
-      "bytes": 32194,
-      "rows": 1,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22219",
     "goedel_workbook:lean_workbook_plus_22224",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015493.lean\",\"14989208e4804a000b8a633335f2b298f868648f0aae8e834fc47f7625ee1175\",0,\"lean_workbook_plus_22294\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015494.lean\",\"9a824b3f84ae17fa9b9d7a91706f9f567816759093f318791b99e5747df86142\",0,\"lean_workbook_plus_2230\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015499.lean\",\"3e90395ea244c2dbe89a8c5c70562f398cfbd80c45decdd494a6c6082aa3e298\",0,\"lean_workbook_plus_22326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84477,
+      "path": "data/train/pb2/goedel_workbook-000619-0000-f3cbac3f136e6746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f3cbac3f136e6746663ec09a40cf554290c1f0105a23afb1f9c45bb4524a11d8"
+    },
+    {
+      "bytes": 32194,
+      "path": "data/internal_test/pb2/goedel_workbook-000619-0000-e658a57e71b1b41a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e658a57e71b1b41a32ddddcd2bd8e9f3585d170349e058d2aab6840218741712"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000620.json b/manifests/batches/goedel_workbook/000620.json
index f4a6bb97679ca6fc1d0230ea7b6c7ea1a6c0d47d..3d89d3be97ff5e2eb8f108499e6646dbae01fcae 100644
--- a/manifests/batches/goedel_workbook/000620.json
+++ b/manifests/batches/goedel_workbook/000620.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000620",
   "batch_fingerprint": "3207456258117ac1f61f09142ed8619276a0f8b99ba808102b41d826ccac69f2",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000620-0000-62b88923f20028b5.parquet",
-      "sha256": "62b88923f20028b503cfa2974c2fab7c790bfce66f41b4117198fe56f1c99a6f",
-      "bytes": 183177,
-      "rows": 35,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000620-0000-5eba02f12eaf21fa.parquet",
-      "sha256": "5eba02f12eaf21faa9664754681bb34f14770f808e61b7d001063be80ce7188c",
-      "bytes": 67067,
-      "rows": 18,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22341",
     "goedel_workbook:lean_workbook_plus_22349",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015521.lean\",\"72438e8ac3e2c2ea660c0f0f4f2d06d14952063d776a8d25e119e32c84fc939e\",0,\"lean_workbook_plus_22404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015522.lean\",\"0aeb3435fe358fed30159510102e3c97ee3fca82373f5826cb05965f77003e00\",0,\"lean_workbook_plus_22405\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015523.lean\",\"b8e6acfd9409a09c44461ed804a6e720578d80f6b0c7a1bcfabc5c9e5c9efe29\",0,\"lean_workbook_plus_22410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183177,
+      "path": "data/train/p0e/goedel_workbook-000620-0000-62b88923f20028b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "62b88923f20028b503cfa2974c2fab7c790bfce66f41b4117198fe56f1c99a6f"
+    },
+    {
+      "bytes": 67067,
+      "path": "data/internal_test/p0e/goedel_workbook-000620-0000-5eba02f12eaf21fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5eba02f12eaf21faa9664754681bb34f14770f808e61b7d001063be80ce7188c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000621.json b/manifests/batches/goedel_workbook/000621.json
index f059b3250dec1f39e9986697a50a930607f51445..0e0480bfff81124dea041be0aa4d553bc1e69e30 100644
--- a/manifests/batches/goedel_workbook/000621.json
+++ b/manifests/batches/goedel_workbook/000621.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000621",
   "batch_fingerprint": "5872852a39a3a99736f2c75bd38beb23d6ee0a8f8d7f3e2f03f1f132a75636f0",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000621-0000-da0fba1aec4004e6.parquet",
-      "sha256": "da0fba1aec4004e61eb0bb03b7c2d42f7b0ee719c01e70b5ca66024577243f1b",
-      "bytes": 173724,
-      "rows": 39,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000621-0000-0b54026552dc1e98.parquet",
-      "sha256": "0b54026552dc1e98e301f295bf3651f2389891016bb632977a3e3f6d39d597a0",
-      "bytes": 38574,
-      "rows": 2,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22417",
     "goedel_workbook:lean_workbook_plus_22436",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015546.lean\",\"13176398e72ef2ece4700217080df8c3f24abf6c2ea6c036d959cf4e0c2858e0\",0,\"lean_workbook_plus_22519\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015548.lean\",\"558f7cca87600f95c763b6044f2de88e1530e9c94aba4b17ff223aabbee21e75\",0,\"lean_workbook_plus_22540\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015549.lean\",\"6fa1fdbf7805328ef7f6f983d660488cdbebcaee495136e178528ff3f8d138ac\",0,\"lean_workbook_plus_22556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173724,
+      "path": "data/train/p23/goedel_workbook-000621-0000-da0fba1aec4004e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "da0fba1aec4004e61eb0bb03b7c2d42f7b0ee719c01e70b5ca66024577243f1b"
+    },
+    {
+      "bytes": 38574,
+      "path": "data/dev/p23/goedel_workbook-000621-0000-0b54026552dc1e98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0b54026552dc1e98e301f295bf3651f2389891016bb632977a3e3f6d39d597a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000622.json b/manifests/batches/goedel_workbook/000622.json
index cc09fbd62f5c83043b8f2975096501f0ad112954..e48063a6c59ba1de81ecf4457ed8420def2fe987 100644
--- a/manifests/batches/goedel_workbook/000622.json
+++ b/manifests/batches/goedel_workbook/000622.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000622",
   "batch_fingerprint": "68eb01f761fd1cfd4f4befe9b5f63905e6f4afc4ca935d263bfbd7ab21bb3f23",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000622-0000-d01f8c579040d353.parquet",
-      "sha256": "d01f8c579040d353f4330f0a2127d2ff4a6b7f62f68edcf8c93c6e6eb74f2a47",
-      "bytes": 177206,
-      "rows": 43,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000622-0000-f75498581f46b0f0.parquet",
-      "sha256": "f75498581f46b0f0d9acb55d92f6677cd8750fe2cbe766cf9c1734633fcf728d",
-      "bytes": 24442,
-      "rows": 1,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22568",
     "goedel_workbook:lean_workbook_plus_22572",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015572.lean\",\"116db60ea89229c2ceda1a854a4222db7cd3b7244a10ed5e85afd646e9c91a8f\",0,\"lean_workbook_plus_2269\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015573.lean\",\"c9c99cf3923b1cdbef212a479588c13e558acde740a59fae30e8dce56eddc35a\",0,\"lean_workbook_plus_22690\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015574.lean\",\"d70bd7a86e9504419e7123939983f3754a1e161c3d3a489b66e3211b164c4fa6\",0,\"lean_workbook_plus_22691\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177206,
+      "path": "data/train/p61/goedel_workbook-000622-0000-d01f8c579040d353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "d01f8c579040d353f4330f0a2127d2ff4a6b7f62f68edcf8c93c6e6eb74f2a47"
+    },
+    {
+      "bytes": 24442,
+      "path": "data/internal_test/p61/goedel_workbook-000622-0000-f75498581f46b0f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f75498581f46b0f0d9acb55d92f6677cd8750fe2cbe766cf9c1734633fcf728d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000623.json b/manifests/batches/goedel_workbook/000623.json
index 3bbba536b53af7484039c26b31a0b87ef5cd8d99..6581341293ef7fc1353873c8d08925dcd38443e8 100644
--- a/manifests/batches/goedel_workbook/000623.json
+++ b/manifests/batches/goedel_workbook/000623.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000623",
   "batch_fingerprint": "b44ec578ba5ac5b137673fd41f9a8d880b30528c87935ca9fd4eec938a1c7989",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000623-0000-d5f3fc1f1460eb5b.parquet",
-      "sha256": "d5f3fc1f1460eb5b1a61578b5fa2e518bfced95acda0d52aff96813c834adc5b",
-      "bytes": 169367,
-      "rows": 37,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000623-0000-867f90bfdb60bdf3.parquet",
-      "sha256": "867f90bfdb60bdf35a540510da48843016f042a9ddc2ff6a053b849b4c99f238",
-      "bytes": 35355,
-      "rows": 3,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22704",
     "goedel_workbook:lean_workbook_plus_2271",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015596.lean\",\"bcd3bb76881beaf7d3d700599321e47d8caad4ec165a94d7cea4218fd1917e3a\",0,\"lean_workbook_plus_22786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015597.lean\",\"6bd77693332c2d14247363af790df7a2fa46dd1f6b6e495aa3ae28f87a03df2f\",0,\"lean_workbook_plus_22787\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015598.lean\",\"ca377382d49f9a850fb0063e59c789577c063f5dbc5c2ee21067b466a7c756e5\",0,\"lean_workbook_plus_2279\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169367,
+      "path": "data/train/p5c/goedel_workbook-000623-0000-d5f3fc1f1460eb5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d5f3fc1f1460eb5b1a61578b5fa2e518bfced95acda0d52aff96813c834adc5b"
+    },
+    {
+      "bytes": 35355,
+      "path": "data/dev/p5c/goedel_workbook-000623-0000-867f90bfdb60bdf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "867f90bfdb60bdf35a540510da48843016f042a9ddc2ff6a053b849b4c99f238"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000624.json b/manifests/batches/goedel_workbook/000624.json
index c0c080419aa35d52a0250c12c4f2809f8e159f81..2a6016736e20e76200b9ada1b6ff7655bf4fb55e 100644
--- a/manifests/batches/goedel_workbook/000624.json
+++ b/manifests/batches/goedel_workbook/000624.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000624",
   "batch_fingerprint": "1c745ddf10167176b4bd1d93fcd15ed87fac3209f2542d0ce9ab001b4d8ba1a4",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000624-0000-c80f15d343cc8e83.parquet",
-      "sha256": "c80f15d343cc8e83a3a2f0e51a35be2de5a23516b3aa66c890266530b7ba6603",
-      "bytes": 139280,
-      "rows": 25,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000624-0000-e24a85958b88a575.parquet",
-      "sha256": "e24a85958b88a5754629612217f135e10afb57521de5f5269b539b120f552737",
-      "bytes": 50091,
-      "rows": 5,
-      "revision": "2754465139d43160bbef635d69185493fcf9674a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22802",
     "goedel_workbook:lean_workbook_plus_2281",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015612.lean\",\"420e2bf324b78bc7de6093056101971144f0802f8ba359c5212ed4cad480d00b\",0,\"lean_workbook_plus_22842\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015614.lean\",\"28feecc64f8d7d516c058bbbe97bed358853c9f66ac7333cfdbf88b2826cf20a\",0,\"lean_workbook_plus_22858\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015616.lean\",\"d4c0ad3367976dbac18bd915943f493e27cb514f4f7a65768bfce110528d2f07\",0,\"lean_workbook_plus_22861\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139280,
+      "path": "data/train/p3c/goedel_workbook-000624-0000-c80f15d343cc8e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "c80f15d343cc8e83a3a2f0e51a35be2de5a23516b3aa66c890266530b7ba6603"
+    },
+    {
+      "bytes": 50091,
+      "path": "data/internal_test/p3c/goedel_workbook-000624-0000-e24a85958b88a575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e24a85958b88a5754629612217f135e10afb57521de5f5269b539b120f552737"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000625.json b/manifests/batches/goedel_workbook/000625.json
index 31a9d4e6fb0d57be154de444ee0f90bb7613d9ac..4d570fc1c1d1235ae5427bec8afe28df81c04717 100644
--- a/manifests/batches/goedel_workbook/000625.json
+++ b/manifests/batches/goedel_workbook/000625.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000625",
   "batch_fingerprint": "a7ab34122e3e88332946b47700d702811e5d1d94990ae7e473b3799d232ea5fb",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000625-0000-9d6580ed400b6c17.parquet",
-      "sha256": "9d6580ed400b6c178fcc06f59c52b18cae6dca93afcc94eefee2f279bb381a2d",
-      "bytes": 242790,
-      "rows": 42,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000625-0000-9ddf58fa9bc1963f.parquet",
-      "sha256": "9ddf58fa9bc1963f7e56414e13d541137f90078c80a7e574face697b36b6c9ab",
-      "bytes": 50507,
-      "rows": 12,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_22915",
     "goedel_workbook:lean_workbook_plus_22923",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015645.lean\",\"e61b86a0f0d86bd7a9eb18f38fc2d699f30e978fea7fb48e1a6cd60cb2ad960d\",0,\"lean_workbook_plus_23019\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015647.lean\",\"86248e80890ed930ff5f61434d715b6fa4ff1133b94af22b6ed8bfe1b04128ce\",0,\"lean_workbook_plus_23028\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015648.lean\",\"8366ea139a0a2b14635d8e192fda015a4a12e39c6ef9a9178b8b1fc7c79cfb78\",0,\"lean_workbook_plus_23029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242790,
+      "path": "data/train/p68/goedel_workbook-000625-0000-9d6580ed400b6c17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "9d6580ed400b6c178fcc06f59c52b18cae6dca93afcc94eefee2f279bb381a2d"
+    },
+    {
+      "bytes": 50507,
+      "path": "data/internal_test/p68/goedel_workbook-000625-0000-9ddf58fa9bc1963f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9ddf58fa9bc1963f7e56414e13d541137f90078c80a7e574face697b36b6c9ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000626.json b/manifests/batches/goedel_workbook/000626.json
index 5d189cd6ab0c71c60d1d6c2d4136bbf1f3da2baf..b5283457ead345736c9608937025ab637f183e90 100644
--- a/manifests/batches/goedel_workbook/000626.json
+++ b/manifests/batches/goedel_workbook/000626.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000626",
   "batch_fingerprint": "62fdcbc2e0cd8d581f56b2d2eb216eb9df49f6ab29c90df88387a66dcece31ce",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000626-0000-f89c70b25cc50c76.parquet",
-      "sha256": "f89c70b25cc50c76b396274133a57ae568a856a48160e09b22a67f89e1b81643",
-      "bytes": 80983,
-      "rows": 23,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000626-0000-fd21e1912b535707.parquet",
-      "sha256": "fd21e1912b535707a816dc8a9e1d0d8447497a71b672789916a548babcb7b8ba",
-      "bytes": 86967,
-      "rows": 11,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23050",
     "goedel_workbook:lean_workbook_plus_23063",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015669.lean\",\"c404bde9470d3d47a04fdf4901372dcbc1956ec2bd3f873c2231934d6375e865\",0,\"lean_workbook_plus_23131\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015672.lean\",\"e1f346b8ea82f99c82391c80babc2adc2573bea7361bdd9507c9786684eab3e0\",0,\"lean_workbook_plus_2315\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015673.lean\",\"02f177774ff766a67f08bbe52a60d1158b4b7d1d7cc1b200cbe09daa4aa091c0\",0,\"lean_workbook_plus_23151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80983,
+      "path": "data/train/p39/goedel_workbook-000626-0000-f89c70b25cc50c76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f89c70b25cc50c76b396274133a57ae568a856a48160e09b22a67f89e1b81643"
+    },
+    {
+      "bytes": 86967,
+      "path": "data/internal_test/p39/goedel_workbook-000626-0000-fd21e1912b535707.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fd21e1912b535707a816dc8a9e1d0d8447497a71b672789916a548babcb7b8ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000627.json b/manifests/batches/goedel_workbook/000627.json
index b1009bfee130970b0153f6ad3cd33e458cf183e3..cbe32be4fae7ef686fe8eda75a27c9b61beff4a9 100644
--- a/manifests/batches/goedel_workbook/000627.json
+++ b/manifests/batches/goedel_workbook/000627.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000627",
   "batch_fingerprint": "22747ef47225ce63cdddb66ce7e4ddc2de4bd58adfc0a681c19c18074f9179df",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000627-0000-53f7125314c71ce9.parquet",
-      "sha256": "53f7125314c71ce94d69a62c970c07a04902c9339681e0487bd769afa2a1b970",
-      "bytes": 108925,
-      "rows": 32,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000627-0000-1dbafd3bc55624b8.parquet",
-      "sha256": "1dbafd3bc55624b8eeb062991925e4b17327d0c0a85ed2c26fc05382006322bd",
-      "bytes": 51159,
-      "rows": 10,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23158",
     "goedel_workbook:lean_workbook_plus_23162",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015694.lean\",\"3c0518e58ae9bbbcf4008014a03281f3f2a55fe8490047b9ce20a0175e547241\",0,\"lean_workbook_plus_23205\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015695.lean\",\"541ef1add691ff2fa9e026a700cb5432636c8031a3ed5009b01538cdb7a552ac\",0,\"lean_workbook_plus_23207\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015697.lean\",\"7b24eb2deeffefd712b1cccf9efe7023e300de6472d2b7659c1e33087b878305\",0,\"lean_workbook_plus_23231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108925,
+      "path": "data/train/pd5/goedel_workbook-000627-0000-53f7125314c71ce9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "53f7125314c71ce94d69a62c970c07a04902c9339681e0487bd769afa2a1b970"
+    },
+    {
+      "bytes": 51159,
+      "path": "data/internal_test/pd5/goedel_workbook-000627-0000-1dbafd3bc55624b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1dbafd3bc55624b8eeb062991925e4b17327d0c0a85ed2c26fc05382006322bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000628.json b/manifests/batches/goedel_workbook/000628.json
index 9844c08ed6ef0b7815c8183140bcb8cffe6157b7..0501efbf978841d0d827f575ec05df9393ef7526 100644
--- a/manifests/batches/goedel_workbook/000628.json
+++ b/manifests/batches/goedel_workbook/000628.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000628",
   "batch_fingerprint": "74d2236d1c425ad6895864a626d20c72edfa9f783922b09d10a26e4f26ecc02d",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000628-0000-3f0be76797b37040.parquet",
-      "sha256": "3f0be76797b37040402a74dad0e6572dcedc0094d493ed9c9aab55b5fa8567fe",
-      "bytes": 94543,
-      "rows": 26,
-      "revision": "268ffdec2ab22d62b79b29c47e0948a430a1a9c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000628-0000-7437cc182330df76.parquet",
-      "sha256": "7437cc182330df76570dfd249f4b6d75cf719ef41ca0c40f26b324be743a90f4",
-      "bytes": 37255,
-      "rows": 2,
-      "revision": "268ffdec2ab22d62b79b29c47e0948a430a1a9c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23236",
     "goedel_workbook:lean_workbook_plus_23265",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015718.lean\",\"e4617c5a5edc6d525b998660b0181fbe343614f343bc76215d7f9c1a95a6075e\",0,\"lean_workbook_plus_23347\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015719.lean\",\"c826c191e5b03a5ae987d6e48bac680fac5b4ed3d1007b4ec34b7b49e3b70c4a\",0,\"lean_workbook_plus_23349\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015723.lean\",\"5d942aec4f71a9508322f8c499892fed7fe14f2b8d49fbab44dd85e8a9a8e600\",0,\"lean_workbook_plus_23365\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94543,
+      "path": "data/train/p3f/goedel_workbook-000628-0000-3f0be76797b37040.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "3f0be76797b37040402a74dad0e6572dcedc0094d493ed9c9aab55b5fa8567fe"
+    },
+    {
+      "bytes": 37255,
+      "path": "data/internal_test/p3f/goedel_workbook-000628-0000-7437cc182330df76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7437cc182330df76570dfd249f4b6d75cf719ef41ca0c40f26b324be743a90f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000629.json b/manifests/batches/goedel_workbook/000629.json
index 71fe340ebd8624529459de048a87f9f308cdffad..5803e534a46cef4e85591130a77fb2625282ce78 100644
--- a/manifests/batches/goedel_workbook/000629.json
+++ b/manifests/batches/goedel_workbook/000629.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000629",
   "batch_fingerprint": "fd0d8d64653f76f94a543f9a281b107786dcd5573e5dc60b977dc65ae14db372",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000629-0000-68e36a2b391e471b.parquet",
-      "sha256": "68e36a2b391e471b675fdf0a89a22bf5ce9653efefec1a21b37629191dba31ea",
-      "bytes": 158851,
-      "rows": 35,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000629-0000-cf98f82a43b2d9bd.parquet",
-      "sha256": "cf98f82a43b2d9bdfe1ba9db62a1cddeb0081c28a8efa34e7a8a5b99843347fb",
-      "bytes": 51906,
-      "rows": 9,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23373",
     "goedel_workbook:lean_workbook_plus_23380",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015747.lean\",\"4ef132dcace618de0b899d07cbbb548482c484822af6a34310015b836b7e4f1a\",0,\"lean_workbook_plus_23469\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015748.lean\",\"c2595eb87865f78b630186e1baaa546dc104513bc00e501a635412ea000306b3\",0,\"lean_workbook_plus_23471\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015749.lean\",\"82c79d59c6b7a54c92f33cbe6d4e5d333bf02aff5ac1102639620ef6aba737a6\",0,\"lean_workbook_plus_23476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158851,
+      "path": "data/train/p21/goedel_workbook-000629-0000-68e36a2b391e471b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "68e36a2b391e471b675fdf0a89a22bf5ce9653efefec1a21b37629191dba31ea"
+    },
+    {
+      "bytes": 51906,
+      "path": "data/internal_test/p21/goedel_workbook-000629-0000-cf98f82a43b2d9bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cf98f82a43b2d9bdfe1ba9db62a1cddeb0081c28a8efa34e7a8a5b99843347fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000630.json b/manifests/batches/goedel_workbook/000630.json
index 9ddbb7ea5452c1dacc612b5dcdc0010c6260e463..f9fed39ae64ebdf66e69783f1e6e1c9e0f0834bd 100644
--- a/manifests/batches/goedel_workbook/000630.json
+++ b/manifests/batches/goedel_workbook/000630.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000630",
   "batch_fingerprint": "233c2efe35e050d01e53a1f5a9950b279d393e991bf56113951f8edf9b1e689e",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000630-0000-b9aea403f759a916.parquet",
-      "sha256": "b9aea403f759a916de252f0ff1e6f49df73fd90153fd39185620a3ef7df97277",
-      "bytes": 168316,
-      "rows": 36,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000630-0000-1966e32ceb4c0cc5.parquet",
-      "sha256": "1966e32ceb4c0cc5f077acdf923b10510e62f710dcedb814c5bd982f3b6c3c66",
-      "bytes": 36470,
-      "rows": 3,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23477",
     "goedel_workbook:lean_workbook_plus_23478",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015770.lean\",\"f0d4fa0951396a763dae0bd397be1c9c10bd7d3fad9d41c7d51ca904ae631d93\",0,\"lean_workbook_plus_23556\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015773.lean\",\"792090ee1bde4333c56115d1408ddaa359ea9c1ee660d6a36acac7f554ebc084\",0,\"lean_workbook_plus_23560\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015774.lean\",\"5cb7452c548053865778f14fedb86575d9bc288074460c225b6fd30a8a6841f6\",0,\"lean_workbook_plus_2357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168316,
+      "path": "data/train/pa6/goedel_workbook-000630-0000-b9aea403f759a916.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b9aea403f759a916de252f0ff1e6f49df73fd90153fd39185620a3ef7df97277"
+    },
+    {
+      "bytes": 36470,
+      "path": "data/internal_test/pa6/goedel_workbook-000630-0000-1966e32ceb4c0cc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1966e32ceb4c0cc5f077acdf923b10510e62f710dcedb814c5bd982f3b6c3c66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000631.json b/manifests/batches/goedel_workbook/000631.json
index 770b76e7f1ee1ab0457ce306075839a9136a1aec..dc0e8e8679bf880add8acf04469bd0f768eeeee5 100644
--- a/manifests/batches/goedel_workbook/000631.json
+++ b/manifests/batches/goedel_workbook/000631.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000631",
   "batch_fingerprint": "bdd69ea26b6c9cab612513f5ef303f3354e58aa39192afb959fc422b1810512e",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000631-0000-d3ea9ed487a608c8.parquet",
-      "sha256": "d3ea9ed487a608c8cc711cd7b63348838f21fc4ced65ce7cb8e62a39561624f3",
-      "bytes": 117829,
-      "rows": 29,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000631-0000-4137bc5cb7e22343.parquet",
-      "sha256": "4137bc5cb7e22343e10e4dd6ffcbc5e8abc68153929e6f6be1c59e302b2e854c",
-      "bytes": 32550,
-      "rows": 2,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000631-0000-b0b73238492f548b.parquet",
-      "sha256": "b0b73238492f548b9e558afe31cbf653ab4d7844d313698bf86577f83945d228",
-      "bytes": 40728,
-      "rows": 3,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23574",
     "goedel_workbook:lean_workbook_plus_23586",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015796.lean\",\"5a93ec5060af4c298ac1829a105cce75fbf6488524775e7ec5e9dab3cdf66563\",0,\"lean_workbook_plus_23676\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015798.lean\",\"2adf922c95c6624ecc432c984114993d4e0f5a51b60b8cab6eeb5a06d0ef0111\",0,\"lean_workbook_plus_23680\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015799.lean\",\"69f94e4efaf4f69b381673a306df7ad6794bd195505f1b7adf5296d8333cd6b2\",0,\"lean_workbook_plus_23688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117829,
+      "path": "data/train/p3f/goedel_workbook-000631-0000-d3ea9ed487a608c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d3ea9ed487a608c8cc711cd7b63348838f21fc4ced65ce7cb8e62a39561624f3"
+    },
+    {
+      "bytes": 32550,
+      "path": "data/dev/p3f/goedel_workbook-000631-0000-4137bc5cb7e22343.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4137bc5cb7e22343e10e4dd6ffcbc5e8abc68153929e6f6be1c59e302b2e854c"
+    },
+    {
+      "bytes": 40728,
+      "path": "data/internal_test/p3f/goedel_workbook-000631-0000-b0b73238492f548b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b0b73238492f548b9e558afe31cbf653ab4d7844d313698bf86577f83945d228"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000632.json b/manifests/batches/goedel_workbook/000632.json
index 8e627d5fab36627ab892719038fc0c89ba6f50ab..c41a20743b3f5891633f453d29ec648df3750fab 100644
--- a/manifests/batches/goedel_workbook/000632.json
+++ b/manifests/batches/goedel_workbook/000632.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000632",
   "batch_fingerprint": "4dd45a91f25fde4bad2ce44530fc22675085322a21d5dcfd7bdccab6a5a4a06b",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000632-0000-146b141d0f3f6e94.parquet",
-      "sha256": "146b141d0f3f6e9446907f906bfe96ae4c4229fe4f982a741680898a65a6d03a",
-      "bytes": 113186,
-      "rows": 32,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23693",
     "goedel_workbook:lean_workbook_plus_23709",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015819.lean\",\"d9341f493c51adf9389e4b9214643c8b9ca001e5d4d8b2ab9b41c0703d68ba05\",0,\"lean_workbook_plus_2381\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015820.lean\",\"9f8b976e511e4be008a6b08292872d1f2a04b65d6b72be2d9a5964a050d8f900\",0,\"lean_workbook_plus_23810\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015821.lean\",\"5705c58051d7d8e7d5c96ec36d5874ac8fd2e0dbbd2d8c311cf8f4b3956d6874\",0,\"lean_workbook_plus_23812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113186,
+      "path": "data/train/pd0/goedel_workbook-000632-0000-146b141d0f3f6e94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "146b141d0f3f6e9446907f906bfe96ae4c4229fe4f982a741680898a65a6d03a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000633.json b/manifests/batches/goedel_workbook/000633.json
index a5e244e83a8039135ed249e2ec787b9ed268c121..10cb9913aeae744059ad22f9b3205ab06749e3cb 100644
--- a/manifests/batches/goedel_workbook/000633.json
+++ b/manifests/batches/goedel_workbook/000633.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000633",
   "batch_fingerprint": "53ca411e93d07932c1b9a380ca2d9c88e333d9cdedd9c77c88f095607d8d11b6",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000633-0000-1ce070fe84985098.parquet",
-      "sha256": "1ce070fe84985098d7273970d58b721df8a59f42b7b9f4181fbc21914c50e9e6",
-      "bytes": 105754,
-      "rows": 28,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000633-0000-a53df79350210ee8.parquet",
-      "sha256": "a53df79350210ee8904e2e82b0a8472d073d77c1a8927d8b0ab91cf48fb102ce",
-      "bytes": 59595,
-      "rows": 13,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000633-0000-a50e53ac46eac99a.parquet",
-      "sha256": "a50e53ac46eac99a6ea87ceb7c128020e03d9005c20e1f28657d0822b94bd2cb",
-      "bytes": 34510,
-      "rows": 1,
-      "revision": "abdee2513ee4072b007e8d43e00157dea0eb7f1a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23841",
     "goedel_workbook:lean_workbook_plus_23848",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015845.lean\",\"45a214043f7ca659a66b29ca6ac8ea2c5e53770f904df05160e446b659fa1a44\",0,\"lean_workbook_plus_23906\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015846.lean\",\"44f6dfa1137d34b228af3b1d007c9a7ad0be0502c80385c19c9af4ee4ed294ed\",0,\"lean_workbook_plus_23909\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015848.lean\",\"c9239dc3bf94174254326364305028cd4c6aa39228eaee650941a2b1a9eb3c91\",0,\"lean_workbook_plus_23917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105754,
+      "path": "data/train/pcd/goedel_workbook-000633-0000-1ce070fe84985098.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1ce070fe84985098d7273970d58b721df8a59f42b7b9f4181fbc21914c50e9e6"
+    },
+    {
+      "bytes": 59595,
+      "path": "data/dev/pcd/goedel_workbook-000633-0000-a53df79350210ee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a53df79350210ee8904e2e82b0a8472d073d77c1a8927d8b0ab91cf48fb102ce"
+    },
+    {
+      "bytes": 34510,
+      "path": "data/internal_test/pcd/goedel_workbook-000633-0000-a50e53ac46eac99a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a50e53ac46eac99a6ea87ceb7c128020e03d9005c20e1f28657d0822b94bd2cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000634.json b/manifests/batches/goedel_workbook/000634.json
index 14625bae397556aeb874f146de419180a1a53256..11a360111128f49e4952f9174947993cd4fe253c 100644
--- a/manifests/batches/goedel_workbook/000634.json
+++ b/manifests/batches/goedel_workbook/000634.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000634",
   "batch_fingerprint": "b7721d1125cacb0e6a0ab3354258f2a758099d1bad33d8110a7c59625d4a53ef",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000634-0000-44c6cae112094b08.parquet",
-      "sha256": "44c6cae112094b08882eb3a1e8d3afebdb025a12e501971f82de418c055a8a26",
-      "bytes": 156181,
-      "rows": 36,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000634-0000-6a33487994c24063.parquet",
-      "sha256": "6a33487994c2406320a4e6b1ab27058ff615a7a364cf257be0aacfb119611fcb",
-      "bytes": 47363,
-      "rows": 5,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_23932",
     "goedel_workbook:lean_workbook_plus_23934",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015872.lean\",\"43359cfc82c28614863d898daab4a6a7e9650ba3d0af1f1a24694b8ecb371766\",0,\"lean_workbook_plus_24\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015873.lean\",\"6d07a931ade8e67c4dc934fcf8fc6774d0ce48ed0db2f93d98ad4a04445cdf9e\",0,\"lean_workbook_plus_24004\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015874.lean\",\"f99fba57c054e8e8a0da4ea92071cd1e0edbdf57f478bec59161e37df985461e\",0,\"lean_workbook_plus_24020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156181,
+      "path": "data/train/p8a/goedel_workbook-000634-0000-44c6cae112094b08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "44c6cae112094b08882eb3a1e8d3afebdb025a12e501971f82de418c055a8a26"
+    },
+    {
+      "bytes": 47363,
+      "path": "data/internal_test/p8a/goedel_workbook-000634-0000-6a33487994c24063.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6a33487994c2406320a4e6b1ab27058ff615a7a364cf257be0aacfb119611fcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000635.json b/manifests/batches/goedel_workbook/000635.json
index 3272f98c74ca724a1644442daeee9ba4ac76aa29..9de45ac6c4ad6dace1a6e53f228defbe330044c5 100644
--- a/manifests/batches/goedel_workbook/000635.json
+++ b/manifests/batches/goedel_workbook/000635.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000635",
   "batch_fingerprint": "a462dbe9d6358505b2befdf83f56601878a2234aacfd2051c2d5a7c94de83875",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000635-0000-1df8feda24061671.parquet",
-      "sha256": "1df8feda240616718981631120244291c5e221dd0502777b2a942fc27247b05e",
-      "bytes": 156802,
-      "rows": 49,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000635-0000-88063d4d2b1a6dbd.parquet",
-      "sha256": "88063d4d2b1a6dbd66771038aa1c99eac0db4d734bc3beb3421e8979c06e7baa",
-      "bytes": 44590,
-      "rows": 9,
-      "revision": "2c974af25264ec15c337282e1bd4bd6e47099ea3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24031",
     "goedel_workbook:lean_workbook_plus_24066",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015897.lean\",\"c2192dd0e3fd70f2e8e19962d32bc8dc5ffc8101b0ac96a80548e42a0e122aca\",0,\"lean_workbook_plus_24116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015898.lean\",\"dcf0c8f6bfd760f9bdabe0e5e130fc420a58ce038ff109ec9848c3f9a0b62990\",0,\"lean_workbook_plus_24120\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015899.lean\",\"a77d44848180fb5500bae1cbe7af4f1e62373b4a0b7d8a26b54ed0ec2eb7cbd9\",0,\"lean_workbook_plus_24127\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156802,
+      "path": "data/train/p9a/goedel_workbook-000635-0000-1df8feda24061671.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "1df8feda240616718981631120244291c5e221dd0502777b2a942fc27247b05e"
+    },
+    {
+      "bytes": 44590,
+      "path": "data/dev/p9a/goedel_workbook-000635-0000-88063d4d2b1a6dbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "88063d4d2b1a6dbd66771038aa1c99eac0db4d734bc3beb3421e8979c06e7baa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000636.json b/manifests/batches/goedel_workbook/000636.json
index aa36674ab1b6baf544a458bc60733143604eeb5b..97b2665116fe221a1c619399a79424e439cf642c 100644
--- a/manifests/batches/goedel_workbook/000636.json
+++ b/manifests/batches/goedel_workbook/000636.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000636",
   "batch_fingerprint": "bab324789e2a0cabac3e039fe2040988722765c274fd05212072481011a93d64",
   "evidence": {
@@ -182,22 +181,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000636-0000-6cd31b2bfe716429.parquet",
-      "sha256": "6cd31b2bfe716429f3d039fdf9456064d00da116f1ff9f052c574e71ba7606da",
-      "bytes": 156161,
-      "rows": 35,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000636-0000-0e9f5a1767a6c599.parquet",
-      "sha256": "0e9f5a1767a6c599992a5434790af7507774805bcb6c88952f70b46fa2b5c36c",
-      "bytes": 29049,
-      "rows": 3,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24142",
     "goedel_workbook:lean_workbook_plus_24146",
@@ -233,5 +217,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015919.lean\",\"59792941d8013ca844d66d50ec0c902fb290578171aa7736e624fd738a418d54\",0,\"lean_workbook_plus_24239\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015920.lean\",\"bf8bbdfa61e4a66b02a19e8f83846ede4a041ea50288c6c6f1a2e26274553129\",0,\"lean_workbook_plus_2424\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015923.lean\",\"81a2a6d095b5418bebf52b61ceeee7d0143f0c286bd2523fd0a3738988c1858b\",0,\"lean_workbook_plus_24260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156161,
+      "path": "data/train/p94/goedel_workbook-000636-0000-6cd31b2bfe716429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "6cd31b2bfe716429f3d039fdf9456064d00da116f1ff9f052c574e71ba7606da"
+    },
+    {
+      "bytes": 29049,
+      "path": "data/internal_test/p94/goedel_workbook-000636-0000-0e9f5a1767a6c599.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0e9f5a1767a6c599992a5434790af7507774805bcb6c88952f70b46fa2b5c36c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000637.json b/manifests/batches/goedel_workbook/000637.json
index 161843073e0c8e6ba910907d306b453b358cc202..79dd185dae55d223d97a0686e68e0e675e1c25d1 100644
--- a/manifests/batches/goedel_workbook/000637.json
+++ b/manifests/batches/goedel_workbook/000637.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000637",
   "batch_fingerprint": "f6e850f688db10c452790d007029f422a8d136b806ac6a7df08c11ed1e52e7e6",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000637-0000-3f0c7a2b0dd9d472.parquet",
-      "sha256": "3f0c7a2b0dd9d4725861241f3123eaae61e29eccdd9f27243d5f85972aa50492",
-      "bytes": 88640,
-      "rows": 31,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000637-0000-b438ffd3825b7b6f.parquet",
-      "sha256": "b438ffd3825b7b6f0a3eecbd2b3617c7897891d04019952d7b28e576c16f9442",
-      "bytes": 30345,
-      "rows": 2,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24269",
     "goedel_workbook:lean_workbook_plus_24272",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015947.lean\",\"26bceb5b3d7226ba062e2bf192f948bbe5fbc2b76254f3c1464a2d5b84fdd19f\",0,\"lean_workbook_plus_24367\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015948.lean\",\"77a2c5c1291e829aa192258f11dd250d8deb60bbbd1838001ecfa7708c0bd261\",0,\"lean_workbook_plus_24368\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015949.lean\",\"7bc9b3f7090b89468a101b26364bc745b15a1b1ad1340e519b98b38ec52ef9aa\",0,\"lean_workbook_plus_24377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88640,
+      "path": "data/train/p78/goedel_workbook-000637-0000-3f0c7a2b0dd9d472.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "3f0c7a2b0dd9d4725861241f3123eaae61e29eccdd9f27243d5f85972aa50492"
+    },
+    {
+      "bytes": 30345,
+      "path": "data/internal_test/p78/goedel_workbook-000637-0000-b438ffd3825b7b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b438ffd3825b7b6f0a3eecbd2b3617c7897891d04019952d7b28e576c16f9442"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000638.json b/manifests/batches/goedel_workbook/000638.json
index 984d9553e8fbea6e5e7a9699594a0c64c3f8d65a..f90d1d3ac7d68b26109d69ee495ccc17741208af 100644
--- a/manifests/batches/goedel_workbook/000638.json
+++ b/manifests/batches/goedel_workbook/000638.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000638",
   "batch_fingerprint": "c94e8597876bbc6e18ad362f8d4b670c058e51058808d40ec224d8853dbf926a",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000638-0000-864edb3b42d31ac7.parquet",
-      "sha256": "864edb3b42d31ac7bbafb797066ac6b00c573cc21cc806a2f715ef6d939e138b",
-      "bytes": 182954,
-      "rows": 46,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000638-0000-f306f595bbb13684.parquet",
-      "sha256": "f306f595bbb13684bdd05f63b3d3bdc4e11b423c3767682e95b6ddd8caeea3b7",
-      "bytes": 43719,
-      "rows": 4,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000638-0000-a788cca07f082660.parquet",
-      "sha256": "a788cca07f082660a29b910c3283a8c0d369ed0b6c7baa4ee00bda37f1ac8318",
-      "bytes": 129798,
-      "rows": 13,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_2438",
     "goedel_workbook:lean_workbook_plus_24381",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015972.lean\",\"302fd76bc27ce9fe2232f89e42c55efdf43b3934869a6733110ceef9122f4aa0\",0,\"lean_workbook_plus_24464\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015973.lean\",\"d591d46dbcec30a53e77183b09440a4f9639d6ebf630d6a3193339aa3c05c046\",0,\"lean_workbook_plus_24465\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015974.lean\",\"fadb56f0aafecefeda7987375d4de4b1b68b9cc049179989e06a13271abe58eb\",0,\"lean_workbook_plus_24469\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182954,
+      "path": "data/train/pd2/goedel_workbook-000638-0000-864edb3b42d31ac7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "864edb3b42d31ac7bbafb797066ac6b00c573cc21cc806a2f715ef6d939e138b"
+    },
+    {
+      "bytes": 43719,
+      "path": "data/dev/pd2/goedel_workbook-000638-0000-f306f595bbb13684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f306f595bbb13684bdd05f63b3d3bdc4e11b423c3767682e95b6ddd8caeea3b7"
+    },
+    {
+      "bytes": 129798,
+      "path": "data/internal_test/pd2/goedel_workbook-000638-0000-a788cca07f082660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a788cca07f082660a29b910c3283a8c0d369ed0b6c7baa4ee00bda37f1ac8318"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000639.json b/manifests/batches/goedel_workbook/000639.json
index fab2fbfbb414e244c995e4334f09e2308a72a0ee..03d993b82525580d6ad4473e8e86c745a105a264 100644
--- a/manifests/batches/goedel_workbook/000639.json
+++ b/manifests/batches/goedel_workbook/000639.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000639",
   "batch_fingerprint": "f38d689058c79ce59fd531f4929b642c7d44dc01a5de97cb47775b94e0ab6044",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000639-0000-b4c630ad043294c0.parquet",
-      "sha256": "b4c630ad043294c00f7116ad87a509a85dd2487d9228442b59959076feaae4e2",
-      "bytes": 172796,
-      "rows": 41,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000639-0000-250da7ea977c96a5.parquet",
-      "sha256": "250da7ea977c96a56a4f516868c567b5e4703662e6559f88a37027f8f84bfc1a",
-      "bytes": 24093,
-      "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24487",
     "goedel_workbook:lean_workbook_plus_24509",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015997.lean\",\"c318c08ffb74571490a4e7ed6939282e76a69e01308e151dfcaf78972e38f390\",0,\"lean_workbook_plus_24599\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015998.lean\",\"e779758aa3a57618d91aa717fd26c6e62eaacae61d607e1812533df77610b4e4\",0,\"lean_workbook_plus_2460\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_015999.lean\",\"f8f1c08f6ff520a775a5f23e57150c706dcca618dc52bb7a1b9c0f17c04aa21d\",0,\"lean_workbook_plus_24600\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172796,
+      "path": "data/train/p66/goedel_workbook-000639-0000-b4c630ad043294c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "b4c630ad043294c00f7116ad87a509a85dd2487d9228442b59959076feaae4e2"
+    },
+    {
+      "bytes": 24093,
+      "path": "data/dev/p66/goedel_workbook-000639-0000-250da7ea977c96a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "250da7ea977c96a56a4f516868c567b5e4703662e6559f88a37027f8f84bfc1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000640.json b/manifests/batches/goedel_workbook/000640.json
index 9e9a1e7975a1651c02ee057f5534a049dee868bc..caf4cc992ca159530b4fa1b490d75d578977e02d 100644
--- a/manifests/batches/goedel_workbook/000640.json
+++ b/manifests/batches/goedel_workbook/000640.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000640",
   "batch_fingerprint": "b1decfb41bf4a57608d3ad46405906598386cc40af639792cfa4be922c9623f6",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000640-0000-64bcf8aa907d7ba4.parquet",
-      "sha256": "64bcf8aa907d7ba4b697282d016f126c2a207943591213bcab24a4a09bbf5031",
-      "bytes": 185328,
-      "rows": 43,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000640-0000-d405f5c36db5489f.parquet",
-      "sha256": "d405f5c36db5489f06a7ebeb2acaf1a9624166c37435ac84e08201507be88d91",
-      "bytes": 32878,
-      "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000640-0000-77e0c32965f8d076.parquet",
-      "sha256": "77e0c32965f8d076aa27c43c427b9b6f20253482889a352f8c69cff9d0ebc647",
-      "bytes": 31114,
-      "rows": 3,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24602",
     "goedel_workbook:lean_workbook_plus_24603",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016022.lean\",\"3ead02c3dca0e82caa8cda34074b8550e326b8c480be8543d68f2908627e5287\",0,\"lean_workbook_plus_24730\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016023.lean\",\"98c454a05bb34e02bfc2a05f0670655b511a9cefdd9353f5a84ce5c6fe6ce269\",0,\"lean_workbook_plus_24732\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016024.lean\",\"81a67bd943b08a6d13eaa841787a28840c6710e2cd4cba66107773ab2e0b0f7a\",0,\"lean_workbook_plus_24734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185328,
+      "path": "data/train/p55/goedel_workbook-000640-0000-64bcf8aa907d7ba4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "64bcf8aa907d7ba4b697282d016f126c2a207943591213bcab24a4a09bbf5031"
+    },
+    {
+      "bytes": 32878,
+      "path": "data/dev/p55/goedel_workbook-000640-0000-d405f5c36db5489f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d405f5c36db5489f06a7ebeb2acaf1a9624166c37435ac84e08201507be88d91"
+    },
+    {
+      "bytes": 31114,
+      "path": "data/internal_test/p55/goedel_workbook-000640-0000-77e0c32965f8d076.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "77e0c32965f8d076aa27c43c427b9b6f20253482889a352f8c69cff9d0ebc647"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000641.json b/manifests/batches/goedel_workbook/000641.json
index e34e8bbaa0735a6ed868c9d6e804c1fdfb03be99..b14899a3fbd4a968766a8049b564cddda62eed84 100644
--- a/manifests/batches/goedel_workbook/000641.json
+++ b/manifests/batches/goedel_workbook/000641.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000641",
   "batch_fingerprint": "afe3325c68982381b2d3572079bbb6a062dda4d38bb0dcc0d3858bf5bf3ae6e2",
   "evidence": {
@@ -136,29 +135,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000641-0000-273673a656691d63.parquet",
-      "sha256": "273673a656691d631349b38d4817ff9d7540c7cafd36162d5a769c7ddd4f84cb",
-      "bytes": 156258,
-      "rows": 48,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000641-0000-8ce1bbef02996773.parquet",
-      "sha256": "8ce1bbef029967735ae6502ffc62cee7cf3d3d59d9531fd9ad9a8cc42de4ae77",
-      "bytes": 33140,
-      "rows": 2,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000641-0000-1ed540f362eb8a82.parquet",
-      "sha256": "1ed540f362eb8a8239253f8b6a79a2de7175461ba7c35be4b6f160bfbc4c4dc6",
-      "bytes": 29522,
-      "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24739",
     "goedel_workbook:lean_workbook_plus_24740",
@@ -200,5 +177,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016046.lean\",\"dc9d561f6580153bd4ceb980a8453db422d650a1d842e837fd9d65f5e2463ab5\",0,\"lean_workbook_plus_24830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016047.lean\",\"227feee31785ee85740bad7cd3ee8df550fc0a4fb0c018da452c668df8fa6fcf\",0,\"lean_workbook_plus_2484\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016048.lean\",\"0b6e4c885919b07770e9044666ecd6cabe06d853566b6f65dc55d092feac417c\",0,\"lean_workbook_plus_24845\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156258,
+      "path": "data/train/pd2/goedel_workbook-000641-0000-273673a656691d63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "273673a656691d631349b38d4817ff9d7540c7cafd36162d5a769c7ddd4f84cb"
+    },
+    {
+      "bytes": 33140,
+      "path": "data/dev/pd2/goedel_workbook-000641-0000-8ce1bbef02996773.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8ce1bbef029967735ae6502ffc62cee7cf3d3d59d9531fd9ad9a8cc42de4ae77"
+    },
+    {
+      "bytes": 29522,
+      "path": "data/internal_test/pd2/goedel_workbook-000641-0000-1ed540f362eb8a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1ed540f362eb8a8239253f8b6a79a2de7175461ba7c35be4b6f160bfbc4c4dc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000642.json b/manifests/batches/goedel_workbook/000642.json
index a1ca7d9f85d7a81ece554e671b089f8374b53ab6..4c5cf3ad30792c5877e425be2eb97f302d279fe4 100644
--- a/manifests/batches/goedel_workbook/000642.json
+++ b/manifests/batches/goedel_workbook/000642.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000642",
   "batch_fingerprint": "1b40de7d8fbee9ce3e1291d4732636ba3ec8a7f7e48e9ad9d6eda776f751b5ca",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000642-0000-c372d1889cf776b8.parquet",
-      "sha256": "c372d1889cf776b82415dd06750c677f8a048f1dea1eef92935187c81e61bf84",
-      "bytes": 213520,
-      "rows": 53,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000642-0000-2453401f8dfd4fa0.parquet",
-      "sha256": "2453401f8dfd4fa0e9654c95c284d6d6021a9a335d0f2c42393f92a7b271a440",
-      "bytes": 48758,
-      "rows": 3,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000642-0000-7f1bb9661f54d635.parquet",
-      "sha256": "7f1bb9661f54d635e6b06519bd17207a02baac7e20ef58501514dd3352631f36",
-      "bytes": 42440,
-      "rows": 6,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24861",
     "goedel_workbook:lean_workbook_plus_24886",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016070.lean\",\"f8f6f3d627944c356e1972428f82bec946ff2f12b7224180416bdb026b13685e\",0,\"lean_workbook_plus_24949\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016071.lean\",\"5901969cd810ce26e97e045e3f49b249bf53ea91348ec8539868adf5cc26ac1d\",0,\"lean_workbook_plus_2496\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016072.lean\",\"7f9fececb48edab0a72750959affd6eb0504d7807f146b2b75478b4a53215bf8\",0,\"lean_workbook_plus_24961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213520,
+      "path": "data/train/p76/goedel_workbook-000642-0000-c372d1889cf776b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "c372d1889cf776b82415dd06750c677f8a048f1dea1eef92935187c81e61bf84"
+    },
+    {
+      "bytes": 48758,
+      "path": "data/dev/p76/goedel_workbook-000642-0000-2453401f8dfd4fa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2453401f8dfd4fa0e9654c95c284d6d6021a9a335d0f2c42393f92a7b271a440"
+    },
+    {
+      "bytes": 42440,
+      "path": "data/internal_test/p76/goedel_workbook-000642-0000-7f1bb9661f54d635.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7f1bb9661f54d635e6b06519bd17207a02baac7e20ef58501514dd3352631f36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000643.json b/manifests/batches/goedel_workbook/000643.json
index 1372d68cc83a5a4d1d8ea2c2f54dd26eb9c0c037..ed685580377fd0e62388d116c56926f33013be9e 100644
--- a/manifests/batches/goedel_workbook/000643.json
+++ b/manifests/batches/goedel_workbook/000643.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000643",
   "batch_fingerprint": "7ac63c598e81190a36119af9bd911afdb38e24bea9e476387a8215683ccc800e",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000643-0000-eaa3b1ebcb0ce919.parquet",
-      "sha256": "eaa3b1ebcb0ce9191401adb2cbdfff0fc1207a0d702d406f516cd5aaa199bd6f",
-      "bytes": 176287,
-      "rows": 46,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000643-0000-f5e452ce0c2190d8.parquet",
-      "sha256": "f5e452ce0c2190d8ed7364456d949b926d6f321b43e9b86b7afd6983a756c666",
-      "bytes": 25049,
-      "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_24976",
     "goedel_workbook:lean_workbook_plus_24978",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016095.lean\",\"90ae957e33ecbc84691bca95110bba87359f654e2f3a49e8c2a8d5f556c41f5b\",0,\"lean_workbook_plus_25042\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016096.lean\",\"646607d53215ba3cc8efd83effa486316d212dc9ba8a595ed9b86d83e3f3e562\",0,\"lean_workbook_plus_25045\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016098.lean\",\"63421a17d9600a7f2006bed1eb75b6db7d2b2fbb6e403eda28b58d60774740c7\",0,\"lean_workbook_plus_25051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176287,
+      "path": "data/train/p04/goedel_workbook-000643-0000-eaa3b1ebcb0ce919.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "eaa3b1ebcb0ce9191401adb2cbdfff0fc1207a0d702d406f516cd5aaa199bd6f"
+    },
+    {
+      "bytes": 25049,
+      "path": "data/internal_test/p04/goedel_workbook-000643-0000-f5e452ce0c2190d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f5e452ce0c2190d8ed7364456d949b926d6f321b43e9b86b7afd6983a756c666"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000644.json b/manifests/batches/goedel_workbook/000644.json
index 573aa01b5691128fb3e2caa0a5c7659a6fbd2a19..6bbfdebecfff615b3af6da7d1def7dbc654363f2 100644
--- a/manifests/batches/goedel_workbook/000644.json
+++ b/manifests/batches/goedel_workbook/000644.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000644",
   "batch_fingerprint": "971b2852e242474b29a29ba5fbafee14e4e82df922aa0b7dc7806f8ca2a5716e",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000644-0000-5b61e573a7dea31f.parquet",
-      "sha256": "5b61e573a7dea31f249623304aa120731d04c8bc7a1b3cce7ab26d69e1980759",
-      "bytes": 121824,
-      "rows": 28,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25067",
     "goedel_workbook:lean_workbook_plus_25072",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016118.lean\",\"f11b7aadd48ce95e29af6d72908234e5ce2fd10ecd4cc49441ffa2bcc3cccea8\",0,\"lean_workbook_plus_25163\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016119.lean\",\"13d212d5c4cda7e7a244616a7aa0af2c4ab15fc3ec5cadd88ffe417e186fba01\",0,\"lean_workbook_plus_25176\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016123.lean\",\"23ed53d7d4714b9900cf48222dc665ae7fd1b89427221d9d24cad5bf607fdb11\",0,\"lean_workbook_plus_25204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121824,
+      "path": "data/train/p42/goedel_workbook-000644-0000-5b61e573a7dea31f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5b61e573a7dea31f249623304aa120731d04c8bc7a1b3cce7ab26d69e1980759"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000645.json b/manifests/batches/goedel_workbook/000645.json
index 5aa218a34a015c00c928d2c2869fd4f1757967da..f137c455f11f1e9a6a726c7dc5e5b1e489bf515d 100644
--- a/manifests/batches/goedel_workbook/000645.json
+++ b/manifests/batches/goedel_workbook/000645.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000645",
   "batch_fingerprint": "77bc0238555099f184a5384371d64f78357a1e4b2209009cd65186a5378847d4",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000645-0000-f7de122e5aa6654b.parquet",
-      "sha256": "f7de122e5aa6654b8b4063ecb11608c641304094b9dac8371c57e44e03e819cd",
-      "bytes": 92942,
-      "rows": 25,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000645-0000-d78ba02f9781538c.parquet",
-      "sha256": "d78ba02f9781538cec61e79531e04a75c95acd499fab90c436ea15cded85ae02",
-      "bytes": 36639,
-      "rows": 3,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25209",
     "goedel_workbook:lean_workbook_plus_25213",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016140.lean\",\"4f9cb3279247eddc66b9081d97015db050f8ac018795380eeed0442d25890ab8\",0,\"lean_workbook_plus_25268\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016143.lean\",\"962dc7ae9af801bf2182a8f2fbc20986f89b555af25cc371a18bac3fbdea3bdf\",0,\"lean_workbook_plus_2528\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016149.lean\",\"4cec889aa78c9ed19398c0a0a2aa047d8970053e8d2b7737b574a112929185b6\",0,\"lean_workbook_plus_25299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92942,
+      "path": "data/train/pa0/goedel_workbook-000645-0000-f7de122e5aa6654b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f7de122e5aa6654b8b4063ecb11608c641304094b9dac8371c57e44e03e819cd"
+    },
+    {
+      "bytes": 36639,
+      "path": "data/dev/pa0/goedel_workbook-000645-0000-d78ba02f9781538c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d78ba02f9781538cec61e79531e04a75c95acd499fab90c436ea15cded85ae02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000646.json b/manifests/batches/goedel_workbook/000646.json
index d6fb935b84db439d2193ac4e21a8814974cce991..2a73d3f79796754d221a43065d2bce2d545ef0be 100644
--- a/manifests/batches/goedel_workbook/000646.json
+++ b/manifests/batches/goedel_workbook/000646.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000646",
   "batch_fingerprint": "210051bf8b79c8c67e3b6ca00063cfdf2e88445521be1852df2bb9965c33cb21",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000646-0000-ead009aed3e28d54.parquet",
-      "sha256": "ead009aed3e28d54c8de9f5390ce20d565cefc39da4d0a12d25d38ffd2c07d7a",
-      "bytes": 157776,
-      "rows": 34,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000646-0000-780c1980e50a3ef4.parquet",
-      "sha256": "780c1980e50a3ef4abd17b2de9192057656ec6e6d08ef61bbe0282777f6f513c",
-      "bytes": 32840,
-      "rows": 1,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000646-0000-42ad4ba220068512.parquet",
-      "sha256": "42ad4ba2200685120160154cb40cd247bdaa0a3940b4e9adce8f1b3bab9af2d6",
-      "bytes": 60600,
-      "rows": 9,
-      "revision": "5d5ab22c25695821c04a7b2776c93e8aaf672eec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25303",
     "goedel_workbook:lean_workbook_plus_25308",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016172.lean\",\"de6e3fbc758f4dcf79341ae6b92562ca8ea4f7179119bfd293ae0830dc33e030\",0,\"lean_workbook_plus_25422\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016173.lean\",\"bd561901455fa9ce303349fb7abd1af2b9074e234b98ba0286f20df23d8e25c9\",0,\"lean_workbook_plus_25423\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016174.lean\",\"f40bd58e378461e22cd11b7ff6b8bf149d6e31cd93a6dc7aa33f17840bf0b7b9\",0,\"lean_workbook_plus_25424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157776,
+      "path": "data/train/pca/goedel_workbook-000646-0000-ead009aed3e28d54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "ead009aed3e28d54c8de9f5390ce20d565cefc39da4d0a12d25d38ffd2c07d7a"
+    },
+    {
+      "bytes": 32840,
+      "path": "data/dev/pca/goedel_workbook-000646-0000-780c1980e50a3ef4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "780c1980e50a3ef4abd17b2de9192057656ec6e6d08ef61bbe0282777f6f513c"
+    },
+    {
+      "bytes": 60600,
+      "path": "data/internal_test/pca/goedel_workbook-000646-0000-42ad4ba220068512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "42ad4ba2200685120160154cb40cd247bdaa0a3940b4e9adce8f1b3bab9af2d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000647.json b/manifests/batches/goedel_workbook/000647.json
index 4113572c88a0ed0f2a1483b4447b00ae95042576..2596fd351b5906f393350873e1d8134cc80f0541 100644
--- a/manifests/batches/goedel_workbook/000647.json
+++ b/manifests/batches/goedel_workbook/000647.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000647",
   "batch_fingerprint": "34f5ddf22ed1d425ee6cb777f41c24627312d370a9ffe988a8be09c8aca72ac5",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000647-0000-3be9aecd35777945.parquet",
-      "sha256": "3be9aecd3577794526f5b5daf7cca2826dbc6fa574d30ed98fadbc26c9836efc",
-      "bytes": 219471,
-      "rows": 35,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000647-0000-66f8526edc0e1626.parquet",
-      "sha256": "66f8526edc0e16268dab66fad3330d556edd84eac78c48d9a1cb2507a9515eee",
-      "bytes": 32011,
-      "rows": 2,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000647-0000-7b435ef9a4c9bcb3.parquet",
-      "sha256": "7b435ef9a4c9bcb33d0621798fd1429674737fe6327e237895a35cb9f87b6ee0",
-      "bytes": 36817,
-      "rows": 5,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25427",
     "goedel_workbook:lean_workbook_plus_25429",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016192.lean\",\"420e5c349f202d1f4ee6ada2bc230263b7596efd157280e894eda0514ebfdb2b\",0,\"lean_workbook_plus_25486\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016194.lean\",\"bf51e8fa5482db764a91e0db14392262f4d69a4ec9b2634b6fadbdcaf31e1381\",0,\"lean_workbook_plus_25496\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016195.lean\",\"806be36d12aa474ae774b45594e6ae6a3b6eaf3d15123c20c93b066910a20f16\",0,\"lean_workbook_plus_2550\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219471,
+      "path": "data/train/p90/goedel_workbook-000647-0000-3be9aecd35777945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "3be9aecd3577794526f5b5daf7cca2826dbc6fa574d30ed98fadbc26c9836efc"
+    },
+    {
+      "bytes": 32011,
+      "path": "data/dev/p90/goedel_workbook-000647-0000-66f8526edc0e1626.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66f8526edc0e16268dab66fad3330d556edd84eac78c48d9a1cb2507a9515eee"
+    },
+    {
+      "bytes": 36817,
+      "path": "data/internal_test/p90/goedel_workbook-000647-0000-7b435ef9a4c9bcb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7b435ef9a4c9bcb33d0621798fd1429674737fe6327e237895a35cb9f87b6ee0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000648.json b/manifests/batches/goedel_workbook/000648.json
index 74d4d236c9855f7aa710e65bb22751b572c57c85..1f7bc06d462a9277c33641667eb9db1371633be1 100644
--- a/manifests/batches/goedel_workbook/000648.json
+++ b/manifests/batches/goedel_workbook/000648.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000648",
   "batch_fingerprint": "631c693f38eacf2223b87aa9226413604c2c720f92ab5fcda5bc70683d26bc0a",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000648-0000-71a74aea7dc21eda.parquet",
-      "sha256": "71a74aea7dc21eda874488a28a7aa168c6083feea5db736c36caf02e8540fd4c",
-      "bytes": 198830,
-      "rows": 43,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000648-0000-1d80504f42d7b4c4.parquet",
-      "sha256": "1d80504f42d7b4c4acf933ca3ef3fe52d074b6da3ce096551f22ff49b3e29286",
-      "bytes": 40177,
-      "rows": 2,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25544",
     "goedel_workbook:lean_workbook_plus_2555",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016221.lean\",\"20ff06e96b9f1c664058f2997c2fced98faf3b691db366050c6ded26fe531696\",0,\"lean_workbook_plus_25640\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016223.lean\",\"5ee3f67ecb2717dd6a3d6b2db0a67e9349f4e804a158df1f3517e050e2453102\",0,\"lean_workbook_plus_25653\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016224.lean\",\"111497dd87cdc0c514354e27c05a3bae732187fffc3ca515665d48c46220462c\",0,\"lean_workbook_plus_25654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198830,
+      "path": "data/train/pd3/goedel_workbook-000648-0000-71a74aea7dc21eda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "71a74aea7dc21eda874488a28a7aa168c6083feea5db736c36caf02e8540fd4c"
+    },
+    {
+      "bytes": 40177,
+      "path": "data/internal_test/pd3/goedel_workbook-000648-0000-1d80504f42d7b4c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1d80504f42d7b4c4acf933ca3ef3fe52d074b6da3ce096551f22ff49b3e29286"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000649.json b/manifests/batches/goedel_workbook/000649.json
index c30e36483d8d2b79c59b5ea48846b251c49ca238..0c3b492261d52b63aa42b8fc103342fe475971de 100644
--- a/manifests/batches/goedel_workbook/000649.json
+++ b/manifests/batches/goedel_workbook/000649.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000649",
   "batch_fingerprint": "454fd68e222bc7bbd2e2e6a57652f77eed2d8e21b0b05281cbf91100b11c1507",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000649-0000-f82e4cf96b37eb40.parquet",
-      "sha256": "f82e4cf96b37eb40a5ab0bc101fa8f41f0b4e8d0fe993da6170c4af4f0a3a338",
-      "bytes": 171515,
-      "rows": 37,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000649-0000-a849d5b708ca95fe.parquet",
-      "sha256": "a849d5b708ca95fed52515f21bea5f01f74cf023640801630c6360be519a7c67",
-      "bytes": 29575,
-      "rows": 3,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000649-0000-aaa5e6fbd06801bf.parquet",
-      "sha256": "aaa5e6fbd06801bf12228d0339b8c5af046cd1ab19f208a9612d46be1a988a0a",
-      "bytes": 36817,
-      "rows": 3,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25663",
     "goedel_workbook:lean_workbook_plus_25665",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016247.lean\",\"cb03d9c9f2987d1913cfc91929bada757a1bc5dae545c923477f1d02e0bf3c2a\",0,\"lean_workbook_plus_25741\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016248.lean\",\"1f9e02a00bde93b2f0c1a940bc70cb14e49048dc1c8251d5f33b969377dd9db7\",0,\"lean_workbook_plus_25742\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016249.lean\",\"74f2db8f2913f6ceb032721eff5941beabe970d8c88517e731031e4184824d8d\",0,\"lean_workbook_plus_25748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171515,
+      "path": "data/train/pd7/goedel_workbook-000649-0000-f82e4cf96b37eb40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f82e4cf96b37eb40a5ab0bc101fa8f41f0b4e8d0fe993da6170c4af4f0a3a338"
+    },
+    {
+      "bytes": 29575,
+      "path": "data/dev/pd7/goedel_workbook-000649-0000-a849d5b708ca95fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a849d5b708ca95fed52515f21bea5f01f74cf023640801630c6360be519a7c67"
+    },
+    {
+      "bytes": 36817,
+      "path": "data/internal_test/pd7/goedel_workbook-000649-0000-aaa5e6fbd06801bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "aaa5e6fbd06801bf12228d0339b8c5af046cd1ab19f208a9612d46be1a988a0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000650.json b/manifests/batches/goedel_workbook/000650.json
index df7c03e4694b6d2421789c9a3fd8cebd9826f130..0b59361d86b6367d570ce9672a1a84220adc2d51 100644
--- a/manifests/batches/goedel_workbook/000650.json
+++ b/manifests/batches/goedel_workbook/000650.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000650",
   "batch_fingerprint": "ec165107ae86f1cf6bfc2b21ae98f6ffb7ac63869888097b4f8f65eebc9e5db4",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000650-0000-49e2ae85516a6546.parquet",
-      "sha256": "49e2ae85516a65460e25e7fc58d2bbe309fd4da014687c92d9855c65d3875f70",
-      "bytes": 180454,
-      "rows": 53,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000650-0000-8e20764b788cb44e.parquet",
-      "sha256": "8e20764b788cb44ee4e925d1f7511b0c697c9738b8832b2226720c3b17dd97a2",
-      "bytes": 38906,
-      "rows": 3,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25755",
     "goedel_workbook:lean_workbook_plus_25756",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016271.lean\",\"cfb573fa9923e4d78c8acccdb12ca6171a168901a29230d777baa73cb025cc08\",0,\"lean_workbook_plus_25829\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016273.lean\",\"f3c681f9f4d84206b2cb990d437320ea48eb1f727820d17efa86116b4f16b962\",0,\"lean_workbook_plus_25834\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016274.lean\",\"a2830c02d188999a5bd10cb3d28691f5fa2f306773ff90fc85b3a57ba854e8a2\",0,\"lean_workbook_plus_25837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180454,
+      "path": "data/train/p44/goedel_workbook-000650-0000-49e2ae85516a6546.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "49e2ae85516a65460e25e7fc58d2bbe309fd4da014687c92d9855c65d3875f70"
+    },
+    {
+      "bytes": 38906,
+      "path": "data/internal_test/p44/goedel_workbook-000650-0000-8e20764b788cb44e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8e20764b788cb44ee4e925d1f7511b0c697c9738b8832b2226720c3b17dd97a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000651.json b/manifests/batches/goedel_workbook/000651.json
index a3e2bb658597d0f60ccabb2fba804a43de3b1231..4afa63d548e2866bf79c7245828c9f7f70544e21 100644
--- a/manifests/batches/goedel_workbook/000651.json
+++ b/manifests/batches/goedel_workbook/000651.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000651",
   "batch_fingerprint": "8dd81769790051a54827f2176be9c43d6329d3a60b41f3dd81a39e631b65de5d",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000651-0000-c9b537868dc48ed7.parquet",
-      "sha256": "c9b537868dc48ed73a95f446df255d1ad3a4574a4415396ed1aebbe6101bffa6",
-      "bytes": 195308,
-      "rows": 55,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000651-0000-90b8165ee7ccf47b.parquet",
-      "sha256": "90b8165ee7ccf47b118dbd4b78347cd21eee4718e88f166de6645072b46431b2",
-      "bytes": 46191,
-      "rows": 2,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000651-0000-9b9f47d3f16b1e46.parquet",
-      "sha256": "9b9f47d3f16b1e4626b6094e74f177c952ca8591e25e7300443ba05a85a1897e",
-      "bytes": 48067,
-      "rows": 3,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25839",
     "goedel_workbook:lean_workbook_plus_25841",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016294.lean\",\"e523eab29a00f1fa22ae20ef6460978649bbe1d0e282ffe982bde708b50dbe13\",0,\"lean_workbook_plus_25915\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016295.lean\",\"8f7a5eb22ac502138da3a2f14b938444033a69030cde752988017817ca452f2f\",0,\"lean_workbook_plus_25916\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016299.lean\",\"969d1e5d703adf1fc1e365556ecde2da6ea5ff1c2328d27e62a62e03e1862a78\",0,\"lean_workbook_plus_25933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195308,
+      "path": "data/train/p71/goedel_workbook-000651-0000-c9b537868dc48ed7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "c9b537868dc48ed73a95f446df255d1ad3a4574a4415396ed1aebbe6101bffa6"
+    },
+    {
+      "bytes": 46191,
+      "path": "data/dev/p71/goedel_workbook-000651-0000-90b8165ee7ccf47b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "90b8165ee7ccf47b118dbd4b78347cd21eee4718e88f166de6645072b46431b2"
+    },
+    {
+      "bytes": 48067,
+      "path": "data/internal_test/p71/goedel_workbook-000651-0000-9b9f47d3f16b1e46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9b9f47d3f16b1e4626b6094e74f177c952ca8591e25e7300443ba05a85a1897e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000652.json b/manifests/batches/goedel_workbook/000652.json
index 541361bf9c0de9fe1f53a6d171df9f1c1e0c7787..81423171e6a5eb22e5a32dd8790d4e32035b7fdd 100644
--- a/manifests/batches/goedel_workbook/000652.json
+++ b/manifests/batches/goedel_workbook/000652.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000652",
   "batch_fingerprint": "36ca8391ab591b08e2e9736977b6d331d9b523e7828bfd7f1cae6f3e50e50b26",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000652-0000-34d4737ee4121e4c.parquet",
-      "sha256": "34d4737ee4121e4c42bab1d2ce7d16905b5ad6b5e99de6cfb9e34e9cc8b2c671",
-      "bytes": 107827,
-      "rows": 30,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000652-0000-f0cd0a0ccfdac676.parquet",
-      "sha256": "f0cd0a0ccfdac6766d2f8d431b3bb0a4362626ece906ba6bbd5664bd9f949902",
-      "bytes": 42703,
-      "rows": 5,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000652-0000-9dcc0b4f52f32bb2.parquet",
-      "sha256": "9dcc0b4f52f32bb20fea997ae2504d87fe7c681b61dc9a372557aebd19cd2a1f",
-      "bytes": 34404,
-      "rows": 1,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_25942",
     "goedel_workbook:lean_workbook_plus_25971",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016318.lean\",\"18964700a878f44ee66ae0e741338f50d05633ae1be83c82681c6f692f7ab999\",0,\"lean_workbook_plus_26025\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016321.lean\",\"3af6eab040579bbfc170cbcad7ed71d5546271dc668ea3f834b1d663182e31c1\",0,\"lean_workbook_plus_26032\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016324.lean\",\"e7261569f0c247c6e7567d4f80de4a3080379ba2e06004bf8de260e85fbe2f0c\",0,\"lean_workbook_plus_26042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107827,
+      "path": "data/train/pf6/goedel_workbook-000652-0000-34d4737ee4121e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "34d4737ee4121e4c42bab1d2ce7d16905b5ad6b5e99de6cfb9e34e9cc8b2c671"
+    },
+    {
+      "bytes": 42703,
+      "path": "data/dev/pf6/goedel_workbook-000652-0000-f0cd0a0ccfdac676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f0cd0a0ccfdac6766d2f8d431b3bb0a4362626ece906ba6bbd5664bd9f949902"
+    },
+    {
+      "bytes": 34404,
+      "path": "data/internal_test/pf6/goedel_workbook-000652-0000-9dcc0b4f52f32bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9dcc0b4f52f32bb20fea997ae2504d87fe7c681b61dc9a372557aebd19cd2a1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000653.json b/manifests/batches/goedel_workbook/000653.json
index c3fbb3dbb1069a9b18f9f3d6fea266aff29dcf41..cbb86a343dc2a1aeac963ee3fd9487941a227b35 100644
--- a/manifests/batches/goedel_workbook/000653.json
+++ b/manifests/batches/goedel_workbook/000653.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000653",
   "batch_fingerprint": "2a92b4c8e1d9c946284858068f7ccfadd7d42adf137724b8f93c5b82c6482b53",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000653-0000-c795a9f757f06a6e.parquet",
-      "sha256": "c795a9f757f06a6e8cd1dce005fd3627caffcabbea708ed40633a5dd70022d8d",
-      "bytes": 164732,
-      "rows": 43,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000653-0000-b49a027dfde92074.parquet",
-      "sha256": "b49a027dfde920749f556c39962882378148d9409e20e640cb5fc7f62a053502",
-      "bytes": 38347,
-      "rows": 5,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000653-0000-861313ba90ae91c1.parquet",
-      "sha256": "861313ba90ae91c1a921f62cdb6430166be6aadd680c7ce85979bd424c055f0e",
-      "bytes": 49174,
-      "rows": 16,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26056",
     "goedel_workbook:lean_workbook_plus_26059",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016347.lean\",\"710d52b333a9db2a7861bec5dfe2caeffc24c2a459f3d59900271c766075e4a7\",0,\"lean_workbook_plus_26167\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016348.lean\",\"91bb31d638cb2e92d9c4515f68dfb7a6078ad587594e9e91f23b950ad6eb9295\",0,\"lean_workbook_plus_26168\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016349.lean\",\"e9945865dc9759b20062b69fe75b68204bc6a62e853d91cd30ae810172aebda4\",0,\"lean_workbook_plus_26178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164732,
+      "path": "data/train/pc9/goedel_workbook-000653-0000-c795a9f757f06a6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "c795a9f757f06a6e8cd1dce005fd3627caffcabbea708ed40633a5dd70022d8d"
+    },
+    {
+      "bytes": 38347,
+      "path": "data/dev/pc9/goedel_workbook-000653-0000-b49a027dfde92074.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b49a027dfde920749f556c39962882378148d9409e20e640cb5fc7f62a053502"
+    },
+    {
+      "bytes": 49174,
+      "path": "data/internal_test/pc9/goedel_workbook-000653-0000-861313ba90ae91c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "861313ba90ae91c1a921f62cdb6430166be6aadd680c7ce85979bd424c055f0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000654.json b/manifests/batches/goedel_workbook/000654.json
index bd711873ce11c1f5701b5575f6e621a1da41b5a7..6e420d92496abdf3390950d390f7e473d29342be 100644
--- a/manifests/batches/goedel_workbook/000654.json
+++ b/manifests/batches/goedel_workbook/000654.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000654",
   "batch_fingerprint": "d18272a847cde95b9e2b74c6e11a31d3bbfc59612f4b59cfd34ea5559be3b1a3",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000654-0000-ea7db9f758a3bd29.parquet",
-      "sha256": "ea7db9f758a3bd293cb5d877b8d2baa81d2e42edc949d9064fc47982cb4bd740",
-      "bytes": 168909,
-      "rows": 37,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000654-0000-514515098ec5266f.parquet",
-      "sha256": "514515098ec5266fa3083dde28c25743716b4b44cc670d7b5f63266252126e8d",
-      "bytes": 26770,
-      "rows": 1,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000654-0000-0c037651f19abaf1.parquet",
-      "sha256": "0c037651f19abaf1255e6b4215119be33fffaa8e59099bb01d59a1e25d14a058",
-      "bytes": 31831,
-      "rows": 2,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_2618",
     "goedel_workbook:lean_workbook_plus_26180",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016369.lean\",\"763ee48914d3e58be79499fcc4751920f7669e510faa53ac068602a840087ba8\",0,\"lean_workbook_plus_26266\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016371.lean\",\"d61980e3c9d568132301344af12ea29c277357d70e82191e198d01700079ff34\",0,\"lean_workbook_plus_26274\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016374.lean\",\"d7b65390a24ea74ed44bde3934f589c6a5d611c4a382662478409345f784159c\",0,\"lean_workbook_plus_26291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168909,
+      "path": "data/train/p52/goedel_workbook-000654-0000-ea7db9f758a3bd29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ea7db9f758a3bd293cb5d877b8d2baa81d2e42edc949d9064fc47982cb4bd740"
+    },
+    {
+      "bytes": 26770,
+      "path": "data/dev/p52/goedel_workbook-000654-0000-514515098ec5266f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "514515098ec5266fa3083dde28c25743716b4b44cc670d7b5f63266252126e8d"
+    },
+    {
+      "bytes": 31831,
+      "path": "data/internal_test/p52/goedel_workbook-000654-0000-0c037651f19abaf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0c037651f19abaf1255e6b4215119be33fffaa8e59099bb01d59a1e25d14a058"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000655.json b/manifests/batches/goedel_workbook/000655.json
index 92a2cd006cbd855ec4e1009288cd22a9ff240bc1..8d78ee733c586ee8579f0ba5511a9bfbab99f09b 100644
--- a/manifests/batches/goedel_workbook/000655.json
+++ b/manifests/batches/goedel_workbook/000655.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000655",
   "batch_fingerprint": "0dc4140ce4a23e99781791cd8e3c934f6ef4620bdc5c6cb5bf79be025084bdea",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000655-0000-ea73d37afc6b551e.parquet",
-      "sha256": "ea73d37afc6b551e2a48f834ee77ca9555a226f7b2484f9fa399d0c97c63b666",
-      "bytes": 346551,
-      "rows": 47,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000655-0000-0a6c6e596d597dae.parquet",
-      "sha256": "0a6c6e596d597dae3b2d7ec95268169e73ce242b6a7cd19e36ed029b544b02de",
-      "bytes": 39421,
-      "rows": 5,
-      "revision": "705085bc1a1fdb5858e0e1cbbc669f8cdf4762a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26292",
     "goedel_workbook:lean_workbook_plus_26296",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016397.lean\",\"6f33eaa4e0cf8ad5cd064cd46981eac032354cb461ab285798499e6a01e4906c\",0,\"lean_workbook_plus_26372\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016398.lean\",\"dcb647019315ccabc889640a20ae60ccfdf5b078eca12e51627d5bdf87916a03\",0,\"lean_workbook_plus_2638\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016399.lean\",\"f0596ff1d682d83a7715b4d26f110d689d1211dc563da28b62e2b3d226017093\",0,\"lean_workbook_plus_26398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346551,
+      "path": "data/train/p68/goedel_workbook-000655-0000-ea73d37afc6b551e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "ea73d37afc6b551e2a48f834ee77ca9555a226f7b2484f9fa399d0c97c63b666"
+    },
+    {
+      "bytes": 39421,
+      "path": "data/internal_test/p68/goedel_workbook-000655-0000-0a6c6e596d597dae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0a6c6e596d597dae3b2d7ec95268169e73ce242b6a7cd19e36ed029b544b02de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000656.json b/manifests/batches/goedel_workbook/000656.json
index 5fdf7c474ce3b57c2f37f46ae247f411dc4e97fb..8054ff75e4a58ef6793caef82ffc6b95e440b913 100644
--- a/manifests/batches/goedel_workbook/000656.json
+++ b/manifests/batches/goedel_workbook/000656.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000656",
   "batch_fingerprint": "ab3d7c48d7cd8bcd7149939e800457d10dc08a2dd559745def482978d92f7d7a",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000656-0000-9f8cb0c54c7be062.parquet",
-      "sha256": "9f8cb0c54c7be0622592bd0d198c952e9ee11835b6e83957df8df1db9b0d12a2",
-      "bytes": 179994,
-      "rows": 38,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000656-0000-62fbc6c8a4dc42f4.parquet",
-      "sha256": "62fbc6c8a4dc42f4de310fd6906262f26dee91ece8b5f0fbbf385b130ba03080",
-      "bytes": 51150,
-      "rows": 13,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000656-0000-544931429f28caf4.parquet",
-      "sha256": "544931429f28caf497394a9899f7b710673c1b9ce954f801df6de6ba208bd92d",
-      "bytes": 48421,
-      "rows": 4,
-      "revision": "247007eb8800a6f17c06e8fe80c5fee8ec8fab9c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26399",
     "goedel_workbook:lean_workbook_plus_2640",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016421.lean\",\"d1e3c13befeda69d538fa8a4075847ee139452f8b495c27b8af3d8e6854785b4\",0,\"lean_workbook_plus_26468\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016422.lean\",\"e088200f51f68ff704541fa0cda1738e6e586960db09d43e8f557ae7afb2fa4c\",0,\"lean_workbook_plus_2647\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016423.lean\",\"debcd98ea28f7d9edcdafb6af496336362b6facf5ff8a1e84a5128b15460b6bb\",0,\"lean_workbook_plus_26472\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179994,
+      "path": "data/train/pa0/goedel_workbook-000656-0000-9f8cb0c54c7be062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9f8cb0c54c7be0622592bd0d198c952e9ee11835b6e83957df8df1db9b0d12a2"
+    },
+    {
+      "bytes": 51150,
+      "path": "data/dev/pa0/goedel_workbook-000656-0000-62fbc6c8a4dc42f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "62fbc6c8a4dc42f4de310fd6906262f26dee91ece8b5f0fbbf385b130ba03080"
+    },
+    {
+      "bytes": 48421,
+      "path": "data/internal_test/pa0/goedel_workbook-000656-0000-544931429f28caf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "544931429f28caf497394a9899f7b710673c1b9ce954f801df6de6ba208bd92d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000657.json b/manifests/batches/goedel_workbook/000657.json
index d4ac31da88fe4df3ce1da5a01cb1ba83fa6d54ab..9e0b098fcc3238e282996aa9eea6f693ca2451c5 100644
--- a/manifests/batches/goedel_workbook/000657.json
+++ b/manifests/batches/goedel_workbook/000657.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000657",
   "batch_fingerprint": "de2230fcd6a2be5e9f1d9b3575fabc5801065d8193e38a5e1560d76e3017dad1",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000657-0000-33f644ae2b3c096c.parquet",
-      "sha256": "33f644ae2b3c096cae84b191d4ee7c3fe58d4f11a0762daa8010b85b641f5182",
-      "bytes": 199228,
-      "rows": 47,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000657-0000-e2bcd5731ad74a3f.parquet",
-      "sha256": "e2bcd5731ad74a3f239da6d02a18cad5fffbab5fb0ea68ba9ee8ad2dff22d02c",
-      "bytes": 53167,
-      "rows": 4,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000657-0000-860200559cc2b4e4.parquet",
-      "sha256": "860200559cc2b4e4132404b30ade409d4dce94469e182c48a1df769a243f733a",
-      "bytes": 39361,
-      "rows": 2,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26482",
     "goedel_workbook:lean_workbook_plus_26489",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016444.lean\",\"8454c9f22dccc7e176137e3ec301a4d420040e87dbde35b129cac53029cccc1d\",0,\"lean_workbook_plus_26539\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016448.lean\",\"aeab9765caf67dd057a0d0ac6424901e291de4408ef56ffbb14eb02776a27dbb\",0,\"lean_workbook_plus_26557\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016449.lean\",\"d4fafa10bf04ea28f4b78b749f5feeaf8357a531b3842d81da959a29c81d4eb2\",0,\"lean_workbook_plus_26561\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199228,
+      "path": "data/train/p10/goedel_workbook-000657-0000-33f644ae2b3c096c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "33f644ae2b3c096cae84b191d4ee7c3fe58d4f11a0762daa8010b85b641f5182"
+    },
+    {
+      "bytes": 53167,
+      "path": "data/dev/p10/goedel_workbook-000657-0000-e2bcd5731ad74a3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e2bcd5731ad74a3f239da6d02a18cad5fffbab5fb0ea68ba9ee8ad2dff22d02c"
+    },
+    {
+      "bytes": 39361,
+      "path": "data/internal_test/p10/goedel_workbook-000657-0000-860200559cc2b4e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "860200559cc2b4e4132404b30ade409d4dce94469e182c48a1df769a243f733a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000658.json b/manifests/batches/goedel_workbook/000658.json
index 59c1519f361932430b6e651cb8f83a4fec98b379..26f591563467ed8ff5585661755476b5522c5bff 100644
--- a/manifests/batches/goedel_workbook/000658.json
+++ b/manifests/batches/goedel_workbook/000658.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000658",
   "batch_fingerprint": "f2cefd6a89b4637d7a7f0577493516f349c19a1ab7f5b38c1ca071ffc0bab33f",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000658-0000-41c1ac8796674dfb.parquet",
-      "sha256": "41c1ac8796674dfb0a53398dcbf03c552a6c6c7946e417866eb8e277b2239438",
-      "bytes": 116625,
-      "rows": 28,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000658-0000-706eeb994a3ed86e.parquet",
-      "sha256": "706eeb994a3ed86ea3356ba3be6c773fd8b8085588c2e071967bbfc76173a0cb",
-      "bytes": 35565,
-      "rows": 3,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000658-0000-37a95d983a4cd93e.parquet",
-      "sha256": "37a95d983a4cd93ea680b3df8f39651de3406e46a12866aeab4056666293bd09",
-      "bytes": 43817,
-      "rows": 5,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26568",
     "goedel_workbook:lean_workbook_plus_2657",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016472.lean\",\"faf703f1992d5ff354700f42343303bf0cd9792a218d55f6179d5f871e747aa3\",0,\"lean_workbook_plus_26677\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 116625,
+      "path": "data/train/p5e/goedel_workbook-000658-0000-41c1ac8796674dfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "41c1ac8796674dfb0a53398dcbf03c552a6c6c7946e417866eb8e277b2239438"
+    },
+    {
+      "bytes": 35565,
+      "path": "data/dev/p5e/goedel_workbook-000658-0000-706eeb994a3ed86e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "706eeb994a3ed86ea3356ba3be6c773fd8b8085588c2e071967bbfc76173a0cb"
+    },
+    {
+      "bytes": 43817,
+      "path": "data/internal_test/p5e/goedel_workbook-000658-0000-37a95d983a4cd93e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "37a95d983a4cd93ea680b3df8f39651de3406e46a12866aeab4056666293bd09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000659.json b/manifests/batches/goedel_workbook/000659.json
index f2f07f3d12b6b5b31bc995b5a9de12cee2218989..7f1a53771bb42b391134c6dd1c0d42317d2d6702 100644
--- a/manifests/batches/goedel_workbook/000659.json
+++ b/manifests/batches/goedel_workbook/000659.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000659",
   "batch_fingerprint": "dc1fc323b24041c2cbe982741bdd09cee8673ed4e5c774bdcd91c047f7fb03ba",
   "evidence": {
@@ -252,22 +251,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000659-0000-17c8d61ccd310cb6.parquet",
-      "sha256": "17c8d61ccd310cb628edc208b294d2ed47c4bc8e2171c92f1d1e7464995f939d",
-      "bytes": 320650,
-      "rows": 17,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    },
-    {
-      "path": "data/train/goedel_workbook-000659-0001-8ba914e6c06eec85.parquet",
-      "sha256": "8ba914e6c06eec853afb9e46e5f1b31f328a05bedc42e1ff1b3fb1d7d5445577",
-      "bytes": 328240,
-      "rows": 15,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26681",
     "goedel_workbook:lean_workbook_plus_26682",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016495.lean\",\"4303c4a20b9d0bc4204553c184bd76e2563dc4bf1d5cdb40430f4cf551d3740a\",0,\"lean_workbook_plus_26746\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016499.lean\",\"9b528c7fe481e9110dbdca536dd08ad7c53dc8d86aacd37e67528c071effaa41\",0,\"lean_workbook_plus_26757\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320650,
+      "path": "data/train/p89/goedel_workbook-000659-0000-17c8d61ccd310cb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "17c8d61ccd310cb628edc208b294d2ed47c4bc8e2171c92f1d1e7464995f939d"
+    },
+    {
+      "bytes": 328240,
+      "path": "data/train/p89/goedel_workbook-000659-0001-8ba914e6c06eec85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8ba914e6c06eec853afb9e46e5f1b31f328a05bedc42e1ff1b3fb1d7d5445577"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000660.json b/manifests/batches/goedel_workbook/000660.json
index 8f6e6a5698370583e6d0c1254b9a4a926f367a71..08e4ac42fd61f45ae02e677488c18ef76139c22f 100644
--- a/manifests/batches/goedel_workbook/000660.json
+++ b/manifests/batches/goedel_workbook/000660.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000660",
   "batch_fingerprint": "5cd412a2568b6d370ea2169d187d2c56f500f46dcd6a2d9f8cd1945c6e1fbf37",
   "evidence": {
@@ -92,22 +91,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000660-0000-5bf5d50ae9b62869.parquet",
-      "sha256": "5bf5d50ae9b62869204bafe8a7582a0f09835f801df3db17fb5e144a5a3f04d5",
-      "bytes": 189418,
-      "rows": 49,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000660-0000-dd931d9181a97ac8.parquet",
-      "sha256": "dd931d9181a97ac830efd578f3576aad0ebec12ceac745560c23a045b6d3ffb7",
-      "bytes": 53402,
-      "rows": 7,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26760",
     "goedel_workbook:lean_workbook_plus_26762",
@@ -153,5 +137,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016520.lean\",\"cf2d3b66c4ab1f0cd96586a8d32d750afdf16baae538034fd0c2a270c1bd42f8\",0,\"lean_workbook_plus_26861\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016524.lean\",\"d876c3d9ce160b301a2da18469dec251fe5528398634c90deda2417ce05231ee\",0,\"lean_workbook_plus_26869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189418,
+      "path": "data/train/pfb/goedel_workbook-000660-0000-5bf5d50ae9b62869.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "5bf5d50ae9b62869204bafe8a7582a0f09835f801df3db17fb5e144a5a3f04d5"
+    },
+    {
+      "bytes": 53402,
+      "path": "data/internal_test/pfb/goedel_workbook-000660-0000-dd931d9181a97ac8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "dd931d9181a97ac830efd578f3576aad0ebec12ceac745560c23a045b6d3ffb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000661.json b/manifests/batches/goedel_workbook/000661.json
index a87e16fca95c04db1c472294dceb4be014d8437b..1b4e745beb74f3cb89f34fb8c46fe610d11063ae 100644
--- a/manifests/batches/goedel_workbook/000661.json
+++ b/manifests/batches/goedel_workbook/000661.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000661",
   "batch_fingerprint": "2b7238ead3e708f1f157904f649cf0b95842a0d480155cdc1dd4429593cf3b19",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000661-0000-89fd547369b300fa.parquet",
-      "sha256": "89fd547369b300fac244dc84110bf6e1a2f9847a7cbdf68c3d154b9e187df957",
-      "bytes": 99828,
-      "rows": 30,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000661-0000-13f530f940074893.parquet",
-      "sha256": "13f530f9400748934360846615813f8017f099be73e5a0911beb3107b36bb04e",
-      "bytes": 36245,
-      "rows": 5,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000661-0000-e147e185f53df521.parquet",
-      "sha256": "e147e185f53df521d34bcecbdea61e2c81b26b3f0b215efaabb5bec9bd9d67a7",
-      "bytes": 57134,
-      "rows": 5,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26879",
     "goedel_workbook:lean_workbook_plus_26895",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016547.lean\",\"0b31090c3df0a6c982d1a0b5a96165a628db99ec76334a088492e24c80bb1def\",0,\"lean_workbook_plus_26977\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016548.lean\",\"6d05c27944c15c62860b7ec918ae0c295b5ff06348558f24cf3ac81fd0192088\",0,\"lean_workbook_plus_26984\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016549.lean\",\"d7d9b0ac0995f5ab5462c5853af0647e955f16a1189a86c2cebbba6b4376ef7b\",0,\"lean_workbook_plus_26988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99828,
+      "path": "data/train/pe9/goedel_workbook-000661-0000-89fd547369b300fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "89fd547369b300fac244dc84110bf6e1a2f9847a7cbdf68c3d154b9e187df957"
+    },
+    {
+      "bytes": 36245,
+      "path": "data/dev/pe9/goedel_workbook-000661-0000-13f530f940074893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "13f530f9400748934360846615813f8017f099be73e5a0911beb3107b36bb04e"
+    },
+    {
+      "bytes": 57134,
+      "path": "data/internal_test/pe9/goedel_workbook-000661-0000-e147e185f53df521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e147e185f53df521d34bcecbdea61e2c81b26b3f0b215efaabb5bec9bd9d67a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000662.json b/manifests/batches/goedel_workbook/000662.json
index b9956e41e8a9918cd32f49e0981cbd045ecdc7a6..1ada1c93061f93b12f069aeb4f14c285e3111bcb 100644
--- a/manifests/batches/goedel_workbook/000662.json
+++ b/manifests/batches/goedel_workbook/000662.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000662",
   "batch_fingerprint": "7152d6e3f5d4ceab25e7a977a22b429a008d2c44374769850183c24a10e2a345",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000662-0000-7168a72b4eb2266c.parquet",
-      "sha256": "7168a72b4eb2266c02acfbe316e65472fb83974c82fde8181566ec1929932da7",
-      "bytes": 239546,
-      "rows": 61,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000662-0000-1985e178a472bf58.parquet",
-      "sha256": "1985e178a472bf58e884ce8867e44cf612cf6c10f0bac189875c81b256225172",
-      "bytes": 71896,
-      "rows": 5,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000662-0000-b9254ceca99481de.parquet",
-      "sha256": "b9254ceca99481dee9f229c7efc7c3b608d2dd5e9dfb3a0a2390c1afbe0b2266",
-      "bytes": 46554,
-      "rows": 4,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_26989",
     "goedel_workbook:lean_workbook_plus_26998",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016571.lean\",\"ee76665f1b89957684ee7e5e10c3257a7b2e7e5556c049a7940a502eb579a58b\",0,\"lean_workbook_plus_27100\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016572.lean\",\"f87b2721ef3d784affee4d20f9044c79af1373909cce3a2826838b0fcdc252e6\",0,\"lean_workbook_plus_27106\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 239546,
+      "path": "data/train/p60/goedel_workbook-000662-0000-7168a72b4eb2266c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "7168a72b4eb2266c02acfbe316e65472fb83974c82fde8181566ec1929932da7"
+    },
+    {
+      "bytes": 71896,
+      "path": "data/dev/p60/goedel_workbook-000662-0000-1985e178a472bf58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1985e178a472bf58e884ce8867e44cf612cf6c10f0bac189875c81b256225172"
+    },
+    {
+      "bytes": 46554,
+      "path": "data/internal_test/p60/goedel_workbook-000662-0000-b9254ceca99481de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b9254ceca99481dee9f229c7efc7c3b608d2dd5e9dfb3a0a2390c1afbe0b2266"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000663.json b/manifests/batches/goedel_workbook/000663.json
index 80526c707f048101063d4971c306db12d092047e..2abc39c3cc1885a7779306bf4791a978ff6182c3 100644
--- a/manifests/batches/goedel_workbook/000663.json
+++ b/manifests/batches/goedel_workbook/000663.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000663",
   "batch_fingerprint": "d4dabfea82c1e5c9b8a8bac09a6240a2ec6bfc3a3ef8ac6a76dcfa220ce5b96f",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000663-0000-2086b22789f63a8e.parquet",
-      "sha256": "2086b22789f63a8e23c657c2235f72794fc2e090054ce5fbba97912950958196",
-      "bytes": 115383,
-      "rows": 27,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000663-0000-b9e9ab4c33e64ccc.parquet",
-      "sha256": "b9e9ab4c33e64ccc24b3df0a8e14a4648eee8ca81fd0800ab70dbff528305f5d",
-      "bytes": 27020,
-      "rows": 1,
-      "revision": "c45c559975e3723a61468c19c8ba85acf72787aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27117",
     "goedel_workbook:lean_workbook_plus_27142",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016592.lean\",\"5caba222acff1dcb0414b5e6ed0b38b196a5bc63c5c75b77edf85ce20bd0e016\",0,\"lean_workbook_plus_272\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016598.lean\",\"d4e1fe8ec852123b4e600ae60feec0adcf355c038d90a40f5abd75667b6f93c3\",0,\"lean_workbook_plus_27229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115383,
+      "path": "data/train/p6f/goedel_workbook-000663-0000-2086b22789f63a8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2086b22789f63a8e23c657c2235f72794fc2e090054ce5fbba97912950958196"
+    },
+    {
+      "bytes": 27020,
+      "path": "data/dev/p6f/goedel_workbook-000663-0000-b9e9ab4c33e64ccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b9e9ab4c33e64ccc24b3df0a8e14a4648eee8ca81fd0800ab70dbff528305f5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000664.json b/manifests/batches/goedel_workbook/000664.json
index 5fe97282ab7142cf5ede16ffac321118cb97cc4a..0f62b0b3d94d445951aa38f2cc59c679a67f78e8 100644
--- a/manifests/batches/goedel_workbook/000664.json
+++ b/manifests/batches/goedel_workbook/000664.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000664",
   "batch_fingerprint": "fca79bcd966e5b2fa03716634c2e0c2e18919679c934088b4c634bf3288472a5",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000664-0000-d83e061d97da29a6.parquet",
-      "sha256": "d83e061d97da29a64b2c22e521ed6ccd3284b6a9f002451f10613d47dc4337bd",
-      "bytes": 92886,
-      "rows": 24,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000664-0000-ad3288f600c415aa.parquet",
-      "sha256": "ad3288f600c415aa830d7db3e34a250352ed045008113c05387f2e04b4d525f6",
-      "bytes": 33111,
-      "rows": 4,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000664-0000-91712fb3709a885e.parquet",
-      "sha256": "91712fb3709a885e0238b9f25010d90883d3e2d92128bd3e32b0a0c5d0a975e0",
-      "bytes": 45639,
-      "rows": 6,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27240",
     "goedel_workbook:lean_workbook_plus_27241",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016618.lean\",\"4d56da68e40ce8326b09d92537e5f2d7f96f059111d0feb9d2064d4c953e45ad\",0,\"lean_workbook_plus_27298\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016619.lean\",\"c218c7701713f97aca90eee274d4911411d2237b1f4a68ab9f500ef5ac76b7ae\",0,\"lean_workbook_plus_27304\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016622.lean\",\"ee2d35068c054c9bf55745c15e817e5dd22fd44c0fe1fd774747e90f4bc95d69\",0,\"lean_workbook_plus_27314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92886,
+      "path": "data/train/pce/goedel_workbook-000664-0000-d83e061d97da29a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d83e061d97da29a64b2c22e521ed6ccd3284b6a9f002451f10613d47dc4337bd"
+    },
+    {
+      "bytes": 33111,
+      "path": "data/dev/pce/goedel_workbook-000664-0000-ad3288f600c415aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ad3288f600c415aa830d7db3e34a250352ed045008113c05387f2e04b4d525f6"
+    },
+    {
+      "bytes": 45639,
+      "path": "data/internal_test/pce/goedel_workbook-000664-0000-91712fb3709a885e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "91712fb3709a885e0238b9f25010d90883d3e2d92128bd3e32b0a0c5d0a975e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000665.json b/manifests/batches/goedel_workbook/000665.json
index be44bdaa55ca2209f0f4ed36aea4e34a091e2d1f..dab9f60d5fa1e5f5f0924e542f3673197f7bcc27 100644
--- a/manifests/batches/goedel_workbook/000665.json
+++ b/manifests/batches/goedel_workbook/000665.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000665",
   "batch_fingerprint": "69b885b95e38c4c8f3ac701122f59e3d26f27a6fd842043f45763385936d2ba8",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000665-0000-4e965eefa94cd597.parquet",
-      "sha256": "4e965eefa94cd597e74d6d95b6b3efe06a27d4abe0630e15ee4cb0c8a12749f5",
-      "bytes": 203986,
-      "rows": 55,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000665-0000-0e7fc8f47ed359a1.parquet",
-      "sha256": "0e7fc8f47ed359a157e4bad6ab512020ab778f11c732104ce31593539b33bc02",
-      "bytes": 26502,
-      "rows": 1,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27323",
     "goedel_workbook:lean_workbook_plus_27362",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016647.lean\",\"8b260da2a792d4e0643c84695013021ada1eed2af3ad5568c309aa973ea2bb13\",0,\"lean_workbook_plus_27458\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016648.lean\",\"e6ade944308cb8c618650927b316f68bd083138ca0e91d368224969d65652287\",0,\"lean_workbook_plus_27459\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016649.lean\",\"62b089205c93b216e5a8e944344c575885a6df37f807e7d3534a34fd003682ad\",0,\"lean_workbook_plus_27462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203986,
+      "path": "data/train/pa7/goedel_workbook-000665-0000-4e965eefa94cd597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "4e965eefa94cd597e74d6d95b6b3efe06a27d4abe0630e15ee4cb0c8a12749f5"
+    },
+    {
+      "bytes": 26502,
+      "path": "data/internal_test/pa7/goedel_workbook-000665-0000-0e7fc8f47ed359a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e7fc8f47ed359a157e4bad6ab512020ab778f11c732104ce31593539b33bc02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000666.json b/manifests/batches/goedel_workbook/000666.json
index 98ffbf75fecbc6dfba42ced1eace010298eee6ca..247263f58af182f2cc6d3373b9a069b02b562c99 100644
--- a/manifests/batches/goedel_workbook/000666.json
+++ b/manifests/batches/goedel_workbook/000666.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000666",
   "batch_fingerprint": "b7ffd4e08351d73e51691e70a498d84d0246632fd5b1d5a73f13bed707f08b08",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000666-0000-c8b27ac6e4ed28af.parquet",
-      "sha256": "c8b27ac6e4ed28af54ca1015905f499089505a6794906c406cc80941114d952e",
-      "bytes": 176795,
-      "rows": 43,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000666-0000-d509b01518a2b1b2.parquet",
-      "sha256": "d509b01518a2b1b2377dbaab8efe2a473488520bed556e03c7a7fb3d307d55cc",
-      "bytes": 32023,
-      "rows": 3,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27473",
     "goedel_workbook:lean_workbook_plus_27477",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016666.lean\",\"1359d3c5d8ce4c0656a3ca20342851f511d86222141c7762947b4e30c3db42f8\",0,\"lean_workbook_plus_27528\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016667.lean\",\"61453c480c34acac02b1669ae1031da9d0a73cdd2a9cfee10dced70091a4190c\",0,\"lean_workbook_plus_27538\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016673.lean\",\"434e4bd305463bd6b73792a7abce577142de782808ca7a11a3ac822bdf122b80\",0,\"lean_workbook_plus_27565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176795,
+      "path": "data/train/pd6/goedel_workbook-000666-0000-c8b27ac6e4ed28af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "c8b27ac6e4ed28af54ca1015905f499089505a6794906c406cc80941114d952e"
+    },
+    {
+      "bytes": 32023,
+      "path": "data/internal_test/pd6/goedel_workbook-000666-0000-d509b01518a2b1b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d509b01518a2b1b2377dbaab8efe2a473488520bed556e03c7a7fb3d307d55cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000667.json b/manifests/batches/goedel_workbook/000667.json
index 8cdb4ae9faeaccd035e728bc231072efcf0af546..fceee92d77c052f2fc741e7247f6c23c28c288de 100644
--- a/manifests/batches/goedel_workbook/000667.json
+++ b/manifests/batches/goedel_workbook/000667.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000667",
   "batch_fingerprint": "a1a4da9f0c371b628fbcc3b0b15df858ed0dc7cc53efb93ea41a1796935cbe9e",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000667-0000-6287e6e186e1eb59.parquet",
-      "sha256": "6287e6e186e1eb59c7b9adb9f2e6e4d7fd8bbff31783fdcdbf2bfaa7df55e7e3",
-      "bytes": 239423,
-      "rows": 59,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000667-0000-e3ddb93374e0c91d.parquet",
-      "sha256": "e3ddb93374e0c91dbad641c7ad1e5c4e18a172ab22108009cc91d0b9f4475e50",
-      "bytes": 38817,
-      "rows": 2,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27568",
     "goedel_workbook:lean_workbook_plus_27569",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016697.lean\",\"b7fb14c55e7ef3c4e89aceb849aec7888f913c8f3ce1526f29e7ee9aeecb05b7\",0,\"lean_workbook_plus_27660\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016698.lean\",\"39092375b8c24981090dc3a72ab1345eadc29301e439135f590139726223de61\",0,\"lean_workbook_plus_27666\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016699.lean\",\"d43ab94d1e75f8ff03ffad2f1cd8088788cf35f7ae96a73e0f955fc3fe200b2c\",0,\"lean_workbook_plus_27667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239423,
+      "path": "data/train/paa/goedel_workbook-000667-0000-6287e6e186e1eb59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "6287e6e186e1eb59c7b9adb9f2e6e4d7fd8bbff31783fdcdbf2bfaa7df55e7e3"
+    },
+    {
+      "bytes": 38817,
+      "path": "data/internal_test/paa/goedel_workbook-000667-0000-e3ddb93374e0c91d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e3ddb93374e0c91dbad641c7ad1e5c4e18a172ab22108009cc91d0b9f4475e50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000668.json b/manifests/batches/goedel_workbook/000668.json
index a0285baaf57f42e7101d954cb077f307a522b6ee..a0e1c684a61c777c926eabac20726d3cc8f385a4 100644
--- a/manifests/batches/goedel_workbook/000668.json
+++ b/manifests/batches/goedel_workbook/000668.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000668",
   "batch_fingerprint": "3a2ec4b9f049e3e807f2e18f3eee2c628b873265120bb26ecd4f117662be45ff",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000668-0000-8b140226d46fa12a.parquet",
-      "sha256": "8b140226d46fa12a8dda17d815747a916398690946bd6c812c570326f0094780",
-      "bytes": 98402,
-      "rows": 27,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000668-0000-0b6d083ff92f9879.parquet",
-      "sha256": "0b6d083ff92f98797f219393938f7e94c4f9fcb77271abae2a005e797afd3827",
-      "bytes": 35611,
-      "rows": 2,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27685",
     "goedel_workbook:lean_workbook_plus_27687",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016721.lean\",\"7da81b389530d2c833d265363a7edd3f306820a245e1509705312002c24510fb\",0,\"lean_workbook_plus_27735\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016722.lean\",\"c53d384a20e3d9ad29068ac6faf24b13dd1af01622ab76175b40fa9334b51c5f\",0,\"lean_workbook_plus_27737\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016723.lean\",\"3d65274f40791aba3b0787eaca8e5ddcd588067e5a5babf538b872f8e4bfd01c\",0,\"lean_workbook_plus_27740\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98402,
+      "path": "data/train/p51/goedel_workbook-000668-0000-8b140226d46fa12a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8b140226d46fa12a8dda17d815747a916398690946bd6c812c570326f0094780"
+    },
+    {
+      "bytes": 35611,
+      "path": "data/internal_test/p51/goedel_workbook-000668-0000-0b6d083ff92f9879.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0b6d083ff92f98797f219393938f7e94c4f9fcb77271abae2a005e797afd3827"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000669.json b/manifests/batches/goedel_workbook/000669.json
index a7b32a4f4129cc1f66fb2ffa0970e2170d3acef9..dbb291e6ce07536e1c4eaee077101c703791928d 100644
--- a/manifests/batches/goedel_workbook/000669.json
+++ b/manifests/batches/goedel_workbook/000669.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000669",
   "batch_fingerprint": "e62a01bd6930203886901842eb8c902e78acc9a004562a270c178c0198fe222c",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000669-0000-466f1bc13ca9a0dd.parquet",
-      "sha256": "466f1bc13ca9a0dda668e0e3e8985ed94fd54f14ed63e482ad3d6f000ba2627a",
-      "bytes": 89518,
-      "rows": 21,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000669-0000-35f21ac6742a9191.parquet",
-      "sha256": "35f21ac6742a9191bf921fc268707909a35f2dedc930ba7a53032f9d0bfb9b01",
-      "bytes": 33369,
-      "rows": 1,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000669-0000-5d16dda4be482f48.parquet",
-      "sha256": "5d16dda4be482f484ce59dd31cb28514aed92015b474b04187f658474a17e6a1",
-      "bytes": 58360,
-      "rows": 4,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27772",
     "goedel_workbook:lean_workbook_plus_27773",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016747.lean\",\"4f0ffe66a413d5fa0bc8d032d795373e2ddb004d0fc4b11d5ddb014bf44cea07\",0,\"lean_workbook_plus_2786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016748.lean\",\"83706c834b055716d6017a4bfb3a99d260dbb5718f8f8e7a503813a2da64e286\",0,\"lean_workbook_plus_27860\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016749.lean\",\"31a89a03be616bbcea8da4bbd3cee287fcf093dcf0b98a8b2237a1e496258fe4\",0,\"lean_workbook_plus_27866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89518,
+      "path": "data/train/p69/goedel_workbook-000669-0000-466f1bc13ca9a0dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "466f1bc13ca9a0dda668e0e3e8985ed94fd54f14ed63e482ad3d6f000ba2627a"
+    },
+    {
+      "bytes": 33369,
+      "path": "data/dev/p69/goedel_workbook-000669-0000-35f21ac6742a9191.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "35f21ac6742a9191bf921fc268707909a35f2dedc930ba7a53032f9d0bfb9b01"
+    },
+    {
+      "bytes": 58360,
+      "path": "data/internal_test/p69/goedel_workbook-000669-0000-5d16dda4be482f48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5d16dda4be482f484ce59dd31cb28514aed92015b474b04187f658474a17e6a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000670.json b/manifests/batches/goedel_workbook/000670.json
index 0406efe3a0c438f363084f68a04154d85d51b1df..8b657c49fbd73b465d1439c7da229b9cc5b6c36b 100644
--- a/manifests/batches/goedel_workbook/000670.json
+++ b/manifests/batches/goedel_workbook/000670.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000670",
   "batch_fingerprint": "25bfbe769f36ca35917b002d8f0a4538401d464030d9cceeb75772ccbfa71be2",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000670-0000-127a6f4667299301.parquet",
-      "sha256": "127a6f466729930131d93bd82df6173e38135ff48fac062e5a03e9abe263542a",
-      "bytes": 209028,
-      "rows": 42,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27881",
     "goedel_workbook:lean_workbook_plus_27882",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016772.lean\",\"8c678232840279cd23b1b1cde23cc4d3cfb0abcb980656a7db00996efec42358\",0,\"lean_workbook_plus_27953\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016773.lean\",\"67cdfb6d17650a95a1b987f8934e7ca0f0266acb2defe23e53720d6bcf83eab5\",0,\"lean_workbook_plus_27960\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016774.lean\",\"962888721cc2ce4899dae68285b40e2410ef0c18730db52c63494f31f6380047\",0,\"lean_workbook_plus_27962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209028,
+      "path": "data/train/pd4/goedel_workbook-000670-0000-127a6f4667299301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "127a6f466729930131d93bd82df6173e38135ff48fac062e5a03e9abe263542a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000671.json b/manifests/batches/goedel_workbook/000671.json
index d6d86eced3adc47e17c6ab5af608d834ecbc4832..d0e8a0c4742a84b2260b2d15f92a1bce9a53cd70 100644
--- a/manifests/batches/goedel_workbook/000671.json
+++ b/manifests/batches/goedel_workbook/000671.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000671",
   "batch_fingerprint": "6e81e4f1df74db4fdaae7c3beaa9d0471fe2eb9f6ef1842e41741934b0f0583e",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000671-0000-eebfa144607b4edf.parquet",
-      "sha256": "eebfa144607b4edf654c1aec6f369cdbe11e4e6e6655fd65d954daed3c9d39cf",
-      "bytes": 130007,
-      "rows": 30,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000671-0000-1ff6bfbb28c308f7.parquet",
-      "sha256": "1ff6bfbb28c308f7e39dee3191621d05156d56a0491275f9279d0ee182009088",
-      "bytes": 38506,
-      "rows": 2,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_27979",
     "goedel_workbook:lean_workbook_plus_27984",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016795.lean\",\"82139d11bdc5f17a2b2844cfb22b9b2ac1ff5f6099b407a1c2bb99dc369288e0\",0,\"lean_workbook_plus_2804\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016796.lean\",\"99d19001a4d4ed3f9f9dfc59eafbd43004186edbc919c8741fdb850532763337\",0,\"lean_workbook_plus_28041\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016797.lean\",\"955cb844618982e6ccfb3bdb0dfe2e263c10d0ce204bafd58d1bbe6209365f58\",0,\"lean_workbook_plus_28044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130007,
+      "path": "data/train/p43/goedel_workbook-000671-0000-eebfa144607b4edf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "eebfa144607b4edf654c1aec6f369cdbe11e4e6e6655fd65d954daed3c9d39cf"
+    },
+    {
+      "bytes": 38506,
+      "path": "data/internal_test/p43/goedel_workbook-000671-0000-1ff6bfbb28c308f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1ff6bfbb28c308f7e39dee3191621d05156d56a0491275f9279d0ee182009088"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000672.json b/manifests/batches/goedel_workbook/000672.json
index ff1067f5ba3a9d07b58e5a220303e7eba59ef2fe..2763d81e4ad241af17c89e97247b0ef6fb6f9860 100644
--- a/manifests/batches/goedel_workbook/000672.json
+++ b/manifests/batches/goedel_workbook/000672.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000672",
   "batch_fingerprint": "af942d08c5c56a7541b9559251a64ff2eef945ba110731ffc38ebad3411660f9",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000672-0000-c0b71c8f54e9bbf4.parquet",
-      "sha256": "c0b71c8f54e9bbf4e7915c03951aef4ea405726ecad925a5020bba892487937f",
-      "bytes": 209522,
-      "rows": 41,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000672-0000-0e2c02ffb8d0fa8f.parquet",
-      "sha256": "0e2c02ffb8d0fa8fd7c1830145e3576f7b179bae995dc1b8a9d944c6d5a64352",
-      "bytes": 32145,
-      "rows": 1,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000672-0000-c828cbce56908fcc.parquet",
-      "sha256": "c828cbce56908fccb8e2df0b75ac426e3920a23b2a4f40ce4336f4edcf0dbbca",
-      "bytes": 38613,
-      "rows": 2,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_2806",
     "goedel_workbook:lean_workbook_plus_28069",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016815.lean\",\"fa37f4a07767f14f37ea8acb2f9e428e2e0392699b8db35805e8cdc616e90689\",0,\"lean_workbook_plus_2811\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016820.lean\",\"9cbe2eea5dd29284f6b734aee8642adc40dcd192ce72daec5c20f137c2351d46\",0,\"lean_workbook_plus_28143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016824.lean\",\"848a687a8709313097ec36f9001db0f763e55882ddde20c2cbc018673aecf78b\",0,\"lean_workbook_plus_28170\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209522,
+      "path": "data/train/p27/goedel_workbook-000672-0000-c0b71c8f54e9bbf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "c0b71c8f54e9bbf4e7915c03951aef4ea405726ecad925a5020bba892487937f"
+    },
+    {
+      "bytes": 32145,
+      "path": "data/dev/p27/goedel_workbook-000672-0000-0e2c02ffb8d0fa8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e2c02ffb8d0fa8fd7c1830145e3576f7b179bae995dc1b8a9d944c6d5a64352"
+    },
+    {
+      "bytes": 38613,
+      "path": "data/internal_test/p27/goedel_workbook-000672-0000-c828cbce56908fcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c828cbce56908fccb8e2df0b75ac426e3920a23b2a4f40ce4336f4edcf0dbbca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000673.json b/manifests/batches/goedel_workbook/000673.json
index ccec0871a030f69380e0280395b03da492d20ecf..5c3bf0b4d1cc64be72a11351930a32d8ce5a6071 100644
--- a/manifests/batches/goedel_workbook/000673.json
+++ b/manifests/batches/goedel_workbook/000673.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000673",
   "batch_fingerprint": "5d8d1a3b71d3b970814f0afcb68a4516426daa11fc04725dbb799d390c3b3e5b",
   "evidence": {
@@ -253,15 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000673-0000-51eccb3fb5809eaf.parquet",
-      "sha256": "51eccb3fb5809eaf3edfd3cee5c776a1335354b7c1b190d5f7ed0c45364ce70a",
-      "bytes": 147685,
-      "rows": 34,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28189",
     "goedel_workbook:lean_workbook_plus_28191",
@@ -289,5 +280,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016843.lean\",\"b5f3a0d49924b8c85dd61500a2c322085d88da1e82e6f71f080c3af3514ffb74\",0,\"lean_workbook_plus_28273\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016844.lean\",\"73c9bff1e619403de7692479ee5954c7ad92987af4885d09fbdcbf1bdeea7eba\",0,\"lean_workbook_plus_28278\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016849.lean\",\"1eb2f84207f1541bc945b1e28c7705c018ff68435454d2c17b2bd5f2ff3435b0\",0,\"lean_workbook_plus_28318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147685,
+      "path": "data/train/pba/goedel_workbook-000673-0000-51eccb3fb5809eaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "51eccb3fb5809eaf3edfd3cee5c776a1335354b7c1b190d5f7ed0c45364ce70a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000674.json b/manifests/batches/goedel_workbook/000674.json
index 91bacf6436ea7bba472c51c1477ec0f77b7147e4..bf12e4146626458f7d8bc99101bc2d1e9fc94f14 100644
--- a/manifests/batches/goedel_workbook/000674.json
+++ b/manifests/batches/goedel_workbook/000674.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000674",
   "batch_fingerprint": "3bdf5b86866bd51d5e892657e44914a0551c74100830148ce73717f59779bd82",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000674-0000-d7e328a2d00e4627.parquet",
-      "sha256": "d7e328a2d00e46274310a9c2f2acac2464f37fa99c00b7248f514b00df500d7a",
-      "bytes": 203893,
-      "rows": 51,
-      "revision": "f2152a485089fb0b158f36814f35c314e700d68e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000674-0000-d72b5fe35f967876.parquet",
-      "sha256": "d72b5fe35f967876ea5a295572a5a1d31bc5ad5ec2e7c53fbb633e66fcb83eb1",
-      "bytes": 34907,
-      "rows": 2,
-      "revision": "f2152a485089fb0b158f36814f35c314e700d68e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000674-0000-bebf1b581bb4e06b.parquet",
-      "sha256": "bebf1b581bb4e06b9016b5eaf05223f5cfb1d3bc14b4b3584d3df79e53cb3a9e",
-      "bytes": 40934,
-      "rows": 4,
-      "revision": "f2152a485089fb0b158f36814f35c314e700d68e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28319",
     "goedel_workbook:lean_workbook_plus_28338",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016869.lean\",\"74bbba6d408eb2761aed5487f6f60ffa63a9ca98f30bccb791be7fb196d58127\",0,\"lean_workbook_plus_28432\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016870.lean\",\"b23c8c00b98d502002731ebfaa7cdd08d8f0a861d84bc7bd541805741c21a94c\",0,\"lean_workbook_plus_28434\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016871.lean\",\"89a6b99e5433ef3d52f1ea80dbd213485409a7198107dd7d4d584dae96037199\",0,\"lean_workbook_plus_28437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203893,
+      "path": "data/train/pa9/goedel_workbook-000674-0000-d7e328a2d00e4627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "d7e328a2d00e46274310a9c2f2acac2464f37fa99c00b7248f514b00df500d7a"
+    },
+    {
+      "bytes": 34907,
+      "path": "data/dev/pa9/goedel_workbook-000674-0000-d72b5fe35f967876.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d72b5fe35f967876ea5a295572a5a1d31bc5ad5ec2e7c53fbb633e66fcb83eb1"
+    },
+    {
+      "bytes": 40934,
+      "path": "data/internal_test/pa9/goedel_workbook-000674-0000-bebf1b581bb4e06b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bebf1b581bb4e06b9016b5eaf05223f5cfb1d3bc14b4b3584d3df79e53cb3a9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000675.json b/manifests/batches/goedel_workbook/000675.json
index 44b494defffe0d90b284435cdc25d80eb3a50757..7fd2b2aee4d7c2ba9ba352747ee943315fc22618 100644
--- a/manifests/batches/goedel_workbook/000675.json
+++ b/manifests/batches/goedel_workbook/000675.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000675",
   "batch_fingerprint": "323ec97c14dcbbd48e5a94cbbcfda2abbd6b9afa25229fb6d72bd8280e2bc26d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000675-0000-6bd61ab33d759ea5.parquet",
-      "sha256": "6bd61ab33d759ea5e01a90c8e17fb623da6d7dbaeb78012c23a0dbf2c917e17c",
-      "bytes": 181362,
-      "rows": 38,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000675-0000-3e52be942ccbc617.parquet",
-      "sha256": "3e52be942ccbc61784f4a776b71f0dac8460144658d7e6b5206d847dcfdc08d8",
-      "bytes": 39895,
-      "rows": 2,
-      "revision": "bf781467c9a16cc3e212d630f61b0272ed22d24c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28445",
     "goedel_workbook:lean_workbook_plus_2845",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016897.lean\",\"0cba72ae9da91089c3270a9733ae6970fb0224742e1f00eed3da049a0ab733a0\",0,\"lean_workbook_plus_28565\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016898.lean\",\"9997e0bbcb61ab443203ad5c07a0661a01128919ebed0d8687bc8cc4fd837902\",0,\"lean_workbook_plus_28566\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016899.lean\",\"9b40b7a7a485374fd0dc2a8a2bfef0ea6e48fbe97c09b65bbde3aee76a492a8c\",0,\"lean_workbook_plus_28567\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181362,
+      "path": "data/train/pdd/goedel_workbook-000675-0000-6bd61ab33d759ea5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "6bd61ab33d759ea5e01a90c8e17fb623da6d7dbaeb78012c23a0dbf2c917e17c"
+    },
+    {
+      "bytes": 39895,
+      "path": "data/internal_test/pdd/goedel_workbook-000675-0000-3e52be942ccbc617.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3e52be942ccbc61784f4a776b71f0dac8460144658d7e6b5206d847dcfdc08d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000676.json b/manifests/batches/goedel_workbook/000676.json
index 759f628ff6402488610cf3eacfaf20dc060188b6..1666b588b56027a85562c070a766268c10e95174 100644
--- a/manifests/batches/goedel_workbook/000676.json
+++ b/manifests/batches/goedel_workbook/000676.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000676",
   "batch_fingerprint": "4b0020afbcc9c3aae3c1be346f363e16ef6d83fb7b2cb80e44a1a41ccd34323d",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000676-0000-ac4d377ab213a636.parquet",
-      "sha256": "ac4d377ab213a63609ee6751f9837870c2d79535b4e403aa13a82ecd1fac15e7",
-      "bytes": 225097,
-      "rows": 61,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000676-0000-7e83662084abc2d4.parquet",
-      "sha256": "7e83662084abc2d44c0c38569b78dda3e71aed36b6fe4a149c8adfe3acecd84c",
-      "bytes": 32017,
-      "rows": 1,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28568",
     "goedel_workbook:lean_workbook_plus_28570",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016921.lean\",\"811a2cbbc1322e28af01bded7eaade8dbe063e876d04056710ac830250fe7b12\",0,\"lean_workbook_plus_28654\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016922.lean\",\"b033b56f029a7a00a54908865934ef6c216b5846f99513d40d9e3ec855c056ec\",0,\"lean_workbook_plus_28663\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016923.lean\",\"b6a46178bb4d59a08060000c3f5b886ad7ecb0746fd955c9c9d105a724a2c6b6\",0,\"lean_workbook_plus_28664\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225097,
+      "path": "data/train/p63/goedel_workbook-000676-0000-ac4d377ab213a636.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "ac4d377ab213a63609ee6751f9837870c2d79535b4e403aa13a82ecd1fac15e7"
+    },
+    {
+      "bytes": 32017,
+      "path": "data/internal_test/p63/goedel_workbook-000676-0000-7e83662084abc2d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7e83662084abc2d44c0c38569b78dda3e71aed36b6fe4a149c8adfe3acecd84c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000677.json b/manifests/batches/goedel_workbook/000677.json
index e530a446ce6d0ae39e629ddef9862fc5e90b7384..487a430739303b31208d39e92925801b481592d7 100644
--- a/manifests/batches/goedel_workbook/000677.json
+++ b/manifests/batches/goedel_workbook/000677.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000677",
   "batch_fingerprint": "bf8ea792b6eb5770e6004a3b9588095a43586f29ec16e852aaa74053af9dd587",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000677-0000-09beec868250e366.parquet",
-      "sha256": "09beec868250e3666d73a45919eb5fd233bd1d7d93ebc93141775c69a5681027",
-      "bytes": 165261,
-      "rows": 39,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000677-0000-191a206a920edbee.parquet",
-      "sha256": "191a206a920edbeeac4c44cecb294cf0fa8910b45ef48e9f6a3f92108de308b3",
-      "bytes": 26190,
-      "rows": 1,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000677-0000-edee118b7f77355e.parquet",
-      "sha256": "edee118b7f77355e0dd1ca47432f3614bb952ddcdce7fde9e5f8e8fe7c955a3a",
-      "bytes": 29253,
-      "rows": 3,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28668",
     "goedel_workbook:lean_workbook_plus_28688",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016946.lean\",\"6cabce49f55c5b8618ff74dc674912887031aea3ceb78541d6d2ec3d4206152b\",0,\"lean_workbook_plus_28783\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016949.lean\",\"7e52884625b7976f23f0467dee70a057a515e042b40c334c1d41e72ac8b0c7f3\",0,\"lean_workbook_plus_28804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165261,
+      "path": "data/train/p64/goedel_workbook-000677-0000-09beec868250e366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "09beec868250e3666d73a45919eb5fd233bd1d7d93ebc93141775c69a5681027"
+    },
+    {
+      "bytes": 26190,
+      "path": "data/dev/p64/goedel_workbook-000677-0000-191a206a920edbee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "191a206a920edbeeac4c44cecb294cf0fa8910b45ef48e9f6a3f92108de308b3"
+    },
+    {
+      "bytes": 29253,
+      "path": "data/internal_test/p64/goedel_workbook-000677-0000-edee118b7f77355e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "edee118b7f77355e0dd1ca47432f3614bb952ddcdce7fde9e5f8e8fe7c955a3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000678.json b/manifests/batches/goedel_workbook/000678.json
index 4a49adeeb68fcf60a4bdf0b3a3cffecc54bf67bf..61e5a5b4307c4424a583276715036d40d3a48f04 100644
--- a/manifests/batches/goedel_workbook/000678.json
+++ b/manifests/batches/goedel_workbook/000678.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000678",
   "batch_fingerprint": "524f7c8743ba7ee9cd3cada1a766e7768156ba5291ea22a2e6115ef9578a3d0f",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000678-0000-4588d2190c5753d3.parquet",
-      "sha256": "4588d2190c5753d3af235bb7e2e4a8ed6ce35025174527d123f2e265fd656837",
-      "bytes": 168376,
-      "rows": 42,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000678-0000-0a8f4121d18ae8fd.parquet",
-      "sha256": "0a8f4121d18ae8fd55325b76dd9e9264873d6948c8ade3c06a0a463563d18773",
-      "bytes": 342970,
-      "rows": 10,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000678-0000-a851baf7048ba854.parquet",
-      "sha256": "a851baf7048ba854ce8f3fbfa85f90d332fe4af8a22aaa21b34241314a996ab4",
-      "bytes": 66621,
-      "rows": 7,
-      "revision": "efb8929396f7bb97130dffaf60f91f92fc0236bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28805",
     "goedel_workbook:lean_workbook_plus_28806",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016970.lean\",\"80fc3283af8f904c2579a1e109c0637ed74c1a20743f557f931a9daf6844cbcb\",0,\"lean_workbook_plus_289\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016972.lean\",\"05061fe90f19b7d24df393a302be88d3f6c7a7a52035e17ac1954a004fb208c4\",0,\"lean_workbook_plus_28904\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016974.lean\",\"d0bde620aca4aaab1314cd55871e4a580082679552f5ad49a813e322a8190ec3\",0,\"lean_workbook_plus_28911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168376,
+      "path": "data/train/pdc/goedel_workbook-000678-0000-4588d2190c5753d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "4588d2190c5753d3af235bb7e2e4a8ed6ce35025174527d123f2e265fd656837"
+    },
+    {
+      "bytes": 342970,
+      "path": "data/dev/pdc/goedel_workbook-000678-0000-0a8f4121d18ae8fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0a8f4121d18ae8fd55325b76dd9e9264873d6948c8ade3c06a0a463563d18773"
+    },
+    {
+      "bytes": 66621,
+      "path": "data/internal_test/pdc/goedel_workbook-000678-0000-a851baf7048ba854.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a851baf7048ba854ce8f3fbfa85f90d332fe4af8a22aaa21b34241314a996ab4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000679.json b/manifests/batches/goedel_workbook/000679.json
index 3787cffaa4b0dbcad1be26bfc41153a6ba02f31c..1d0d1e1025da9b621f94852e438589486f93fa6c 100644
--- a/manifests/batches/goedel_workbook/000679.json
+++ b/manifests/batches/goedel_workbook/000679.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000679",
   "batch_fingerprint": "ebf4b31c365f456982ef38f5f9753b82fcabfc1224c3eae0b06fc09a234a0fc4",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000679-0000-2af42216b8dae625.parquet",
-      "sha256": "2af42216b8dae6257e071219f1aa7dc9d9978bc45627f89101034c4d1a2a407f",
-      "bytes": 152698,
-      "rows": 46,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000679-0000-bdb4df5512122526.parquet",
-      "sha256": "bdb4df55121225264b9e9b637ffc6ddbcb8a4d070ba34cd1a4045b9b8125a13f",
-      "bytes": 51274,
-      "rows": 7,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_28920",
     "goedel_workbook:lean_workbook_plus_28925",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016995.lean\",\"4b60aa9b78e16966fc75977b9671369e2df8bf353fff5f4e9f9d8d03b125d58f\",0,\"lean_workbook_plus_29002\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016997.lean\",\"8e85d84635931e73b28582c191abb0e42cd51ec3aca5f458ad824fee1732d3f1\",0,\"lean_workbook_plus_29010\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_016998.lean\",\"033bdc3f7fbf9c95f449f74988444264a366f248d854aa2b9a00b600791b59e6\",0,\"lean_workbook_plus_29015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152698,
+      "path": "data/train/p0a/goedel_workbook-000679-0000-2af42216b8dae625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "2af42216b8dae6257e071219f1aa7dc9d9978bc45627f89101034c4d1a2a407f"
+    },
+    {
+      "bytes": 51274,
+      "path": "data/internal_test/p0a/goedel_workbook-000679-0000-bdb4df5512122526.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bdb4df55121225264b9e9b637ffc6ddbcb8a4d070ba34cd1a4045b9b8125a13f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000680.json b/manifests/batches/goedel_workbook/000680.json
index 8eb85ae8e01ce1b2a7082d6a3ab58e6dff975853..8443dde7b548a55ab588c6391bbeda8f27cafd4a 100644
--- a/manifests/batches/goedel_workbook/000680.json
+++ b/manifests/batches/goedel_workbook/000680.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000680",
   "batch_fingerprint": "a2cc97bd51a801c5a36b66936dabedfc16acf64f6012ca0ce4c07d8fc368d6fb",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000680-0000-8a963b0f9a4217cd.parquet",
-      "sha256": "8a963b0f9a4217cd9e31267351b7b52327aaf7d11de976707cc7a3981c92095c",
-      "bytes": 138909,
-      "rows": 33,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29017",
     "goedel_workbook:lean_workbook_plus_29038",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017021.lean\",\"bb3aaa788ff15cbaf9167ca317e80d7641d031ce937a410236199d50a4502798\",0,\"lean_workbook_plus_2915\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017022.lean\",\"f75ca75ff1e6f6618adce31a67477a9b111f7f4fc709154a6fea11f19037d74b\",0,\"lean_workbook_plus_29152\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017024.lean\",\"d180536158e9d335347e730cc938abf56c001a011439520da533a226b8b40fc3\",0,\"lean_workbook_plus_29174\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138909,
+      "path": "data/train/p5c/goedel_workbook-000680-0000-8a963b0f9a4217cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "8a963b0f9a4217cd9e31267351b7b52327aaf7d11de976707cc7a3981c92095c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000681.json b/manifests/batches/goedel_workbook/000681.json
index 1d990893b080d10ba811f0a4442ad0a0a98840b0..68e33d4f6a5f24a41d35b56e8269235b047ebc03 100644
--- a/manifests/batches/goedel_workbook/000681.json
+++ b/manifests/batches/goedel_workbook/000681.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000681",
   "batch_fingerprint": "fa0d87b58d191fc82a1d40ec9796ac8e5bd82da518b2d63c3ee8a7b576b5da51",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000681-0000-6ffc74cc5d68e79d.parquet",
-      "sha256": "6ffc74cc5d68e79d08ab2842df704d590967e61ffcb7b03dbd6d1679cab83086",
-      "bytes": 58509,
-      "rows": 14,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000681-0000-af9d93bd3d670850.parquet",
-      "sha256": "af9d93bd3d67085076df84348059df0e6dd4626475dedb6883cf93230f6fa4fe",
-      "bytes": 53596,
-      "rows": 6,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000681-0000-9c27dda5805d45c1.parquet",
-      "sha256": "9c27dda5805d45c167fdd722d642fcdd88658a4f9ac51613000e705a59ca670c",
-      "bytes": 47054,
-      "rows": 5,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29192",
     "goedel_workbook:lean_workbook_plus_29203",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017042.lean\",\"63b8736c0dec06912b7be9212f8ebcd3db51ed47305436263b8b13ef1fe2a7a2\",0,\"lean_workbook_plus_29239\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017047.lean\",\"e1de2fd6b67de17054e2e0b48d41bbf7bd1aeddfa694c4f37f10f608bc0ef8d9\",0,\"lean_workbook_plus_29259\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017049.lean\",\"d2fa8f9f9b0d459c3a7667c3b71f7a3072f3a9c3ca98022ffa48d815faa6f076\",0,\"lean_workbook_plus_29266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58509,
+      "path": "data/train/p6a/goedel_workbook-000681-0000-6ffc74cc5d68e79d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6ffc74cc5d68e79d08ab2842df704d590967e61ffcb7b03dbd6d1679cab83086"
+    },
+    {
+      "bytes": 53596,
+      "path": "data/dev/p6a/goedel_workbook-000681-0000-af9d93bd3d670850.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "af9d93bd3d67085076df84348059df0e6dd4626475dedb6883cf93230f6fa4fe"
+    },
+    {
+      "bytes": 47054,
+      "path": "data/internal_test/p6a/goedel_workbook-000681-0000-9c27dda5805d45c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9c27dda5805d45c167fdd722d642fcdd88658a4f9ac51613000e705a59ca670c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000682.json b/manifests/batches/goedel_workbook/000682.json
index 652b5ab4dcbde75779fd871f018211e4379af634..bd89039f0ca3a84b5600dce28d33fd31c84acc39 100644
--- a/manifests/batches/goedel_workbook/000682.json
+++ b/manifests/batches/goedel_workbook/000682.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000682",
   "batch_fingerprint": "4c8c60fc353d5bcaae6b750c30914e165b042676ca3a240db5f20cae701bbed8",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000682-0000-1fd5c114fb1a16c6.parquet",
-      "sha256": "1fd5c114fb1a16c690230735a5b1cb07716bd704d1ecf9426310efe3676b139d",
-      "bytes": 148716,
-      "rows": 39,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000682-0000-a642a11c0d4b4dca.parquet",
-      "sha256": "a642a11c0d4b4dcabe9fe4513e84ededaf847caab9a86a82aa453ca82e619f38",
-      "bytes": 39177,
-      "rows": 1,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000682-0000-714764fe47e8a6ad.parquet",
-      "sha256": "714764fe47e8a6ad4962a13d138ba3aafc13c20ada9af24d2850fbf2be4a3028",
-      "bytes": 41101,
-      "rows": 5,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29273",
     "goedel_workbook:lean_workbook_plus_29274",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017068.lean\",\"916bf70deec8efac4cd91910f5368806b1a330e783beb53d3ab62e1d04aa6657\",0,\"lean_workbook_plus_29342\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017069.lean\",\"7ac678c50dcdc5ee79430fb5a02bc6ef670e2a9e0235d3c5b17144d8eed26870\",0,\"lean_workbook_plus_29343\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017073.lean\",\"fc4621f26360fe8a0e62236e9fd34e8a6a0f9bbabde8f3cde9175b24020655e1\",0,\"lean_workbook_plus_29351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148716,
+      "path": "data/train/pee/goedel_workbook-000682-0000-1fd5c114fb1a16c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "1fd5c114fb1a16c690230735a5b1cb07716bd704d1ecf9426310efe3676b139d"
+    },
+    {
+      "bytes": 39177,
+      "path": "data/dev/pee/goedel_workbook-000682-0000-a642a11c0d4b4dca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a642a11c0d4b4dcabe9fe4513e84ededaf847caab9a86a82aa453ca82e619f38"
+    },
+    {
+      "bytes": 41101,
+      "path": "data/internal_test/pee/goedel_workbook-000682-0000-714764fe47e8a6ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "714764fe47e8a6ad4962a13d138ba3aafc13c20ada9af24d2850fbf2be4a3028"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000683.json b/manifests/batches/goedel_workbook/000683.json
index 4d836a89c2d8e438f0acd2450b7571ceab3b42d4..6cd623698d599836726303f42c09fb7c5d8176ee 100644
--- a/manifests/batches/goedel_workbook/000683.json
+++ b/manifests/batches/goedel_workbook/000683.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000683",
   "batch_fingerprint": "7249358855c482f7529bdf3d895ae78d99dd8f00e934dd00718a264ec9bb1825",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000683-0000-e0b80e544c95b9f1.parquet",
-      "sha256": "e0b80e544c95b9f1a55a7cdb53c23f7ac475d1641531845aa9cab7ebc6e7b929",
-      "bytes": 173650,
-      "rows": 45,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000683-0000-1bd4494ef840b99e.parquet",
-      "sha256": "1bd4494ef840b99e83979fafec3842c00ff7e860b57c35e391bcd62d307e6b2c",
-      "bytes": 39760,
-      "rows": 5,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29360",
     "goedel_workbook:lean_workbook_plus_29363",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017095.lean\",\"86255bdd31c2e4105e13ade62367a4f00e60abb2e5b675970b5f032941bc45e4\",0,\"lean_workbook_plus_29442\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017097.lean\",\"f5bc209f17214500750bcab20005e58846a62997bd9912ae684a7ddafd499401\",0,\"lean_workbook_plus_29447\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017098.lean\",\"ca65d0afedf20a52a04a1e78720350e413ebb7d0fee1f7acf2943f00c5548791\",0,\"lean_workbook_plus_29449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173650,
+      "path": "data/train/p1e/goedel_workbook-000683-0000-e0b80e544c95b9f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "e0b80e544c95b9f1a55a7cdb53c23f7ac475d1641531845aa9cab7ebc6e7b929"
+    },
+    {
+      "bytes": 39760,
+      "path": "data/dev/p1e/goedel_workbook-000683-0000-1bd4494ef840b99e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1bd4494ef840b99e83979fafec3842c00ff7e860b57c35e391bcd62d307e6b2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000684.json b/manifests/batches/goedel_workbook/000684.json
index 84bf971248beac4e74a353e9802ddbe204b385ac..afe2cfb84a90e02c68d7cc571c5c29081687eb0f 100644
--- a/manifests/batches/goedel_workbook/000684.json
+++ b/manifests/batches/goedel_workbook/000684.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000684",
   "batch_fingerprint": "4d7c6c586fee62901aea40fd609ab3873109f776376e14275419b8df6ba1d70f",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000684-0000-b55b41e583ec6c62.parquet",
-      "sha256": "b55b41e583ec6c6228712b802c44a17aad7210e2b0a763bda1a9a55c29bf57aa",
-      "bytes": 113876,
-      "rows": 31,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29475",
     "goedel_workbook:lean_workbook_plus_29494",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017122.lean\",\"b35824be31cfb7ac9f969a1a258854cb2494d04e89074880146007cd15fc70af\",0,\"lean_workbook_plus_29597\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017123.lean\",\"27f4c40ec085b8c5eb485aacae0b3814535ba3924777844fe0772dc75d4e3daa\",0,\"lean_workbook_plus_296\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017124.lean\",\"a321322b3615e504cd02fd0ba192bf40fb9ed3e6e96976cb5f6866aac866ab7b\",0,\"lean_workbook_plus_29600\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113876,
+      "path": "data/train/p9d/goedel_workbook-000684-0000-b55b41e583ec6c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "b55b41e583ec6c6228712b802c44a17aad7210e2b0a763bda1a9a55c29bf57aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000685.json b/manifests/batches/goedel_workbook/000685.json
index cd9181875aaff995b7f5b7114e6de862aca0c078..ff8aa9c2317dd83322c56831d2468c9f5acf0055 100644
--- a/manifests/batches/goedel_workbook/000685.json
+++ b/manifests/batches/goedel_workbook/000685.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000685",
   "batch_fingerprint": "80c303bb640a9d1177f5a5b23d0816633744be08f6c81f28d6da2693e0054bd9",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000685-0000-7af457fefe8fe199.parquet",
-      "sha256": "7af457fefe8fe1993793ea2f6f9f7ed80e94dc5f15dc069704181019bec45768",
-      "bytes": 194508,
-      "rows": 60,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000685-0000-0ce6b77e32523576.parquet",
-      "sha256": "0ce6b77e325235760177fba3d57f3a007c8cd0cdf7d2580929add6409363f7ba",
-      "bytes": 29064,
-      "rows": 2,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000685-0000-5e4e02a41ffedca3.parquet",
-      "sha256": "5e4e02a41ffedca30c0052134dbf11c82cdf0aff08198612f076448b64b99ae4",
-      "bytes": 74841,
-      "rows": 15,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29601",
     "goedel_workbook:lean_workbook_plus_29613",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017147.lean\",\"fbfbd9e656bb4fbd126763de2f258adbfa8324ebaa61057dc964860eaeb83be3\",0,\"lean_workbook_plus_29698\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017148.lean\",\"971138689ddf6f9b9f2b910c10e4481b4302d60c405c84c8562e387b1eddd9f7\",0,\"lean_workbook_plus_29710\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017149.lean\",\"d4a236c44d62c3470033d4eca372ef6899d3bafeef6779996f31a13b6683e782\",0,\"lean_workbook_plus_29714\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194508,
+      "path": "data/train/p11/goedel_workbook-000685-0000-7af457fefe8fe199.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "7af457fefe8fe1993793ea2f6f9f7ed80e94dc5f15dc069704181019bec45768"
+    },
+    {
+      "bytes": 29064,
+      "path": "data/dev/p11/goedel_workbook-000685-0000-0ce6b77e32523576.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ce6b77e325235760177fba3d57f3a007c8cd0cdf7d2580929add6409363f7ba"
+    },
+    {
+      "bytes": 74841,
+      "path": "data/internal_test/p11/goedel_workbook-000685-0000-5e4e02a41ffedca3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5e4e02a41ffedca30c0052134dbf11c82cdf0aff08198612f076448b64b99ae4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000686.json b/manifests/batches/goedel_workbook/000686.json
index 665ec6433128e2151572ab8edae1f4497e13eab4..949cd6a3a3f28e213139f1f48faa27da227e3a6e 100644
--- a/manifests/batches/goedel_workbook/000686.json
+++ b/manifests/batches/goedel_workbook/000686.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000686",
   "batch_fingerprint": "f46f515cf867c5f8513958147341ad3b6a649714a60fac20c89d851ec5a57330",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000686-0000-f3411bea2decdb78.parquet",
-      "sha256": "f3411bea2decdb78f09bbbb6d13f1ebe17067267c3d3c3782165bed403e8b2e9",
-      "bytes": 166424,
-      "rows": 38,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000686-0000-c2cf1209ec33ef4b.parquet",
-      "sha256": "c2cf1209ec33ef4bb3ec1a22462ffa68fc3b2f1a28b2fbebe47c54b667ee582c",
-      "bytes": 53186,
-      "rows": 6,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000686-0000-20f5b42e55e89851.parquet",
-      "sha256": "20f5b42e55e89851ded200c72a38831c62f057e2d8eff6dadf68dc034e96e900",
-      "bytes": 80980,
-      "rows": 14,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29720",
     "goedel_workbook:lean_workbook_plus_29725",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017172.lean\",\"1d1939262b9d7f67bbf3b1d8ab5791e7d7a08f6e11a9a734c9fc6dcbe2362c46\",0,\"lean_workbook_plus_29800\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017173.lean\",\"829e119e836f90ba0dff777d65ac7da3b9042a8d4a87bbc605d7fbc3275e3077\",0,\"lean_workbook_plus_29805\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017174.lean\",\"f3e33bf9fcdf033eb8cdfa6483c08353e138eeb58027a4cbeb8e81d6887c70f6\",0,\"lean_workbook_plus_29806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166424,
+      "path": "data/train/p54/goedel_workbook-000686-0000-f3411bea2decdb78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "f3411bea2decdb78f09bbbb6d13f1ebe17067267c3d3c3782165bed403e8b2e9"
+    },
+    {
+      "bytes": 53186,
+      "path": "data/dev/p54/goedel_workbook-000686-0000-c2cf1209ec33ef4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c2cf1209ec33ef4bb3ec1a22462ffa68fc3b2f1a28b2fbebe47c54b667ee582c"
+    },
+    {
+      "bytes": 80980,
+      "path": "data/internal_test/p54/goedel_workbook-000686-0000-20f5b42e55e89851.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "20f5b42e55e89851ded200c72a38831c62f057e2d8eff6dadf68dc034e96e900"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000687.json b/manifests/batches/goedel_workbook/000687.json
index 60f5a9c3d4675173f112b6c287c99fd982dd7019..44b83dde281f3ce19799215a10c0dd9758e1dfd8 100644
--- a/manifests/batches/goedel_workbook/000687.json
+++ b/manifests/batches/goedel_workbook/000687.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000687",
   "batch_fingerprint": "12c22030f60c5771af1d7805d495fc4c74f96940d7f117b95940b4f4db1facd9",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000687-0000-a3622cd37d032ad8.parquet",
-      "sha256": "a3622cd37d032ad87e2bd074c77e762055f084cf55e8f63aea0b145db3d7f5dc",
-      "bytes": 81914,
-      "rows": 16,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000687-0000-1dfdbab198e4168c.parquet",
-      "sha256": "1dfdbab198e4168c3fd8de53f28fa66ebc586f1d5d89d2d263598bbd163d1716",
-      "bytes": 38043,
-      "rows": 2,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000687-0000-2ccdec1c18748959.parquet",
-      "sha256": "2ccdec1c1874895989906e64c4ea7102dfdaa177ec693e8a943927a768f255d8",
-      "bytes": 33987,
-      "rows": 2,
-      "revision": "e62ea780077cd1798fe25f130fc19cbb234d95b5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29816",
     "goedel_workbook:lean_workbook_plus_29817",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017197.lean\",\"a9f93fe88b3763fb7601107147974b9d0d39ba433ca89d39c1fc7337a5aff7f7\",0,\"lean_workbook_plus_29908\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017198.lean\",\"ea5409e7e498ab8051a59400ce18b23c63eff8c1cf59e6728715e903e93a3278\",0,\"lean_workbook_plus_29909\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017199.lean\",\"f2a02529aca7a98f0370f1a8dc3987588c0eb382e45db91179eac85902a6ea6b\",0,\"lean_workbook_plus_29910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81914,
+      "path": "data/train/p26/goedel_workbook-000687-0000-a3622cd37d032ad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a3622cd37d032ad87e2bd074c77e762055f084cf55e8f63aea0b145db3d7f5dc"
+    },
+    {
+      "bytes": 38043,
+      "path": "data/dev/p26/goedel_workbook-000687-0000-1dfdbab198e4168c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1dfdbab198e4168c3fd8de53f28fa66ebc586f1d5d89d2d263598bbd163d1716"
+    },
+    {
+      "bytes": 33987,
+      "path": "data/internal_test/p26/goedel_workbook-000687-0000-2ccdec1c18748959.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2ccdec1c1874895989906e64c4ea7102dfdaa177ec693e8a943927a768f255d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000688.json b/manifests/batches/goedel_workbook/000688.json
index 06442ca34e07f588e98cc3e8e1a4fdae21b70085..fdc0983218c9a11401945034edf71c42b99235a3 100644
--- a/manifests/batches/goedel_workbook/000688.json
+++ b/manifests/batches/goedel_workbook/000688.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000688",
   "batch_fingerprint": "5d14c0e737d3e4af2dfc0e6605ebea6c2b40e2a424d5749abf20b77316012012",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000688-0000-f8ffaaf6ca08aad3.parquet",
-      "sha256": "f8ffaaf6ca08aad399cdf9b399c5aec9f8d8d88f61cc6c3e5952da211ac846c5",
-      "bytes": 107546,
-      "rows": 30,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000688-0000-6c54fbe596d60ca4.parquet",
-      "sha256": "6c54fbe596d60ca40f70ea02d5ecfb5daa87a5dbfd9fc1e6c13e9b73455fc5fb",
-      "bytes": 72952,
-      "rows": 3,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000688-0000-f1b393879e18ca60.parquet",
-      "sha256": "f1b393879e18ca60245aec5264a186b4f8cfc55e031f8e865c0574c34faf3ff1",
-      "bytes": 41581,
-      "rows": 3,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_29911",
     "goedel_workbook:lean_workbook_plus_29913",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017218.lean\",\"1c9252db7908c3ce317f7d4665a15a2d789806b236edc8568a8c8c022e5f6eb7\",0,\"lean_workbook_plus_29978\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017220.lean\",\"24581fd516660e20ac5025e5bd90507d1777db3cbf7606453f3e1d0e9dbc8e53\",0,\"lean_workbook_plus_29982\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017221.lean\",\"ba0e47831cc61cac23d5f67e24191a565530ec851676c50265bcd774b5a853af\",0,\"lean_workbook_plus_29991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107546,
+      "path": "data/train/p6c/goedel_workbook-000688-0000-f8ffaaf6ca08aad3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "f8ffaaf6ca08aad399cdf9b399c5aec9f8d8d88f61cc6c3e5952da211ac846c5"
+    },
+    {
+      "bytes": 72952,
+      "path": "data/dev/p6c/goedel_workbook-000688-0000-6c54fbe596d60ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6c54fbe596d60ca40f70ea02d5ecfb5daa87a5dbfd9fc1e6c13e9b73455fc5fb"
+    },
+    {
+      "bytes": 41581,
+      "path": "data/internal_test/p6c/goedel_workbook-000688-0000-f1b393879e18ca60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f1b393879e18ca60245aec5264a186b4f8cfc55e031f8e865c0574c34faf3ff1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000689.json b/manifests/batches/goedel_workbook/000689.json
index 94624b3a984df0eb466fa8572714a795beb0003c..f1b6c84bcb5e2bba32c8adc84599333fcffcfc99 100644
--- a/manifests/batches/goedel_workbook/000689.json
+++ b/manifests/batches/goedel_workbook/000689.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000689",
   "batch_fingerprint": "a8c215dd4b87036ac2675476fb3269ce3d8e399803be30e920e89e5ed0e906d6",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000689-0000-460473688ee73e50.parquet",
-      "sha256": "460473688ee73e50414184a347ec2e9e104dd34a5376fd7868119260b74ddca8",
-      "bytes": 79552,
-      "rows": 20,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000689-0000-0cd7f6c303209df5.parquet",
-      "sha256": "0cd7f6c303209df52249518bcde8be14432afbab8d785e4068b600c2ff96eaf4",
-      "bytes": 31638,
-      "rows": 5,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_30023",
     "goedel_workbook:lean_workbook_plus_30026",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017245.lean\",\"89c30dc134db2dd52b62c25de637d65b1698af8f08c04e12c8bb5d5507f92ead\",0,\"lean_workbook_plus_301\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017248.lean\",\"1eb9653e7c9c3f81f4817469883f4ddcc0aba99126848ce9f86c855858f3a065\",0,\"lean_workbook_plus_30115\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017249.lean\",\"7f49d5a91fe7781a1573d1bdec24bb556808293512360a948db5b9a073cec260\",0,\"lean_workbook_plus_30119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79552,
+      "path": "data/train/pe4/goedel_workbook-000689-0000-460473688ee73e50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "460473688ee73e50414184a347ec2e9e104dd34a5376fd7868119260b74ddca8"
+    },
+    {
+      "bytes": 31638,
+      "path": "data/internal_test/pe4/goedel_workbook-000689-0000-0cd7f6c303209df5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0cd7f6c303209df52249518bcde8be14432afbab8d785e4068b600c2ff96eaf4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000690.json b/manifests/batches/goedel_workbook/000690.json
index 459d9922703bde82cd2a0fb599a2f28570ba6444..ec7c2496ca0903e37354ed19c2f582af52a6cfa3 100644
--- a/manifests/batches/goedel_workbook/000690.json
+++ b/manifests/batches/goedel_workbook/000690.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000690",
   "batch_fingerprint": "9f714112f84f1bc5d589e97175fc4586c1a89d22ead9fc60d7b4ecbed13c43cd",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000690-0000-69b463d12707eeaf.parquet",
-      "sha256": "69b463d12707eeaf609e79ff1ba35fdba1ca129752decb39cb0fab34d5f4eec2",
-      "bytes": 195004,
-      "rows": 56,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000690-0000-6d92757b928be8dc.parquet",
-      "sha256": "6d92757b928be8dc3bd58a8f34dfd2cc3997d1a1215d36637127534fa32f7afb",
-      "bytes": 30405,
-      "rows": 1,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3012",
     "goedel_workbook:lean_workbook_plus_30124",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017272.lean\",\"6cdc3131db1b16cea46310cae754991c0d7e970fbc606e9568f851088474a4c9\",0,\"lean_workbook_plus_30234\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017273.lean\",\"39b9cb6dd1bd7386b6757b9c80400f9cc8488c02203cbcff7ced39a78d41face\",0,\"lean_workbook_plus_30238\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017274.lean\",\"02b2bbc801e0fee59be8478c0c1f44cc373670b310bd6b249fe7c6d7d2bfb677\",0,\"lean_workbook_plus_30240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195004,
+      "path": "data/train/p15/goedel_workbook-000690-0000-69b463d12707eeaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "69b463d12707eeaf609e79ff1ba35fdba1ca129752decb39cb0fab34d5f4eec2"
+    },
+    {
+      "bytes": 30405,
+      "path": "data/internal_test/p15/goedel_workbook-000690-0000-6d92757b928be8dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6d92757b928be8dc3bd58a8f34dfd2cc3997d1a1215d36637127534fa32f7afb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000691.json b/manifests/batches/goedel_workbook/000691.json
index 0c793cece8e4cabbe2452c203c9b675cc1b90931..8c917b76c6c0f06c6ad21aed43bc5b5be60e867c 100644
--- a/manifests/batches/goedel_workbook/000691.json
+++ b/manifests/batches/goedel_workbook/000691.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000691",
   "batch_fingerprint": "dce8fc28ead04bedbe9e542479119f62bf139b171147d6ff9251ac1ee5a6f706",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000691-0000-79d54547cf4d00f3.parquet",
-      "sha256": "79d54547cf4d00f3ca2942b66a822a19b8f3ad815ce96b02fce7b72809574789",
-      "bytes": 97173,
-      "rows": 22,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000691-0000-f54db0387e85acb5.parquet",
-      "sha256": "f54db0387e85acb59a545ff46b8972140ca7fc2e52eb71dc52ab40ce7eaef622",
-      "bytes": 39674,
-      "rows": 2,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_30241",
     "goedel_workbook:lean_workbook_plus_30245",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017293.lean\",\"739354f31eb0f8ec7ece6e7ea06e6bfa21db27e36168c0f8f191866a65af6f63\",0,\"lean_workbook_plus_30344\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017295.lean\",\"4ced389e1af36d1469cd75f335554a84f82d7b9ff523c71c302a1cabdf7f47f8\",0,\"lean_workbook_plus_30348\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017299.lean\",\"2e001a09bb45f5ad77b9eaa7a46e403a0d125448b342e38cc5815ae3e24d45a5\",0,\"lean_workbook_plus_30384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97173,
+      "path": "data/train/p2a/goedel_workbook-000691-0000-79d54547cf4d00f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "79d54547cf4d00f3ca2942b66a822a19b8f3ad815ce96b02fce7b72809574789"
+    },
+    {
+      "bytes": 39674,
+      "path": "data/internal_test/p2a/goedel_workbook-000691-0000-f54db0387e85acb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f54db0387e85acb59a545ff46b8972140ca7fc2e52eb71dc52ab40ce7eaef622"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000692.json b/manifests/batches/goedel_workbook/000692.json
index f28e7c06639626ff455b6a330b57a19b17ebadad..f512de84f6e2fdacdf1bf4c4c7a0f71a97c7992e 100644
--- a/manifests/batches/goedel_workbook/000692.json
+++ b/manifests/batches/goedel_workbook/000692.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000692",
   "batch_fingerprint": "e67d36de888f62c51abc2a4497565ea8503c6c4e4b8fe573bac15266725a2f92",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000692-0000-6991fb621d6e674d.parquet",
-      "sha256": "6991fb621d6e674d641886b680052cc1acc6fd3629b55411e95e212fd96e6459",
-      "bytes": 115247,
-      "rows": 27,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000692-0000-67575bbdd1f05727.parquet",
-      "sha256": "67575bbdd1f05727dc522f3d81f8a3a6be6c755e2e8f25b6d0f50184b4ea845e",
-      "bytes": 35607,
-      "rows": 3,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000692-0000-6c649a6c15b0fd73.parquet",
-      "sha256": "6c649a6c15b0fd73ca8970350e25ca6209b1bb02088b24901ef04f4cbe59feba",
-      "bytes": 29484,
-      "rows": 1,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3039",
     "goedel_workbook:lean_workbook_plus_30398",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017318.lean\",\"690115a89bb504627e7489b896dae823f287a5b5559911de1bee665e52acdc8d\",0,\"lean_workbook_plus_30449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017320.lean\",\"101962f75037cb305028b6c7914c9c1627e280c59c7fb7884fad89166e4fa974\",0,\"lean_workbook_plus_30478\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017323.lean\",\"630392bb493ca400aaa199df8101978d16e2811ca2a685cd269d7008820b4177\",0,\"lean_workbook_plus_30505\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115247,
+      "path": "data/train/pcc/goedel_workbook-000692-0000-6991fb621d6e674d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "6991fb621d6e674d641886b680052cc1acc6fd3629b55411e95e212fd96e6459"
+    },
+    {
+      "bytes": 35607,
+      "path": "data/dev/pcc/goedel_workbook-000692-0000-67575bbdd1f05727.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "67575bbdd1f05727dc522f3d81f8a3a6be6c755e2e8f25b6d0f50184b4ea845e"
+    },
+    {
+      "bytes": 29484,
+      "path": "data/internal_test/pcc/goedel_workbook-000692-0000-6c649a6c15b0fd73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6c649a6c15b0fd73ca8970350e25ca6209b1bb02088b24901ef04f4cbe59feba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000693.json b/manifests/batches/goedel_workbook/000693.json
index 7c63320d59529432f549fda2e1cad70cb35c7f43..4572bf4c917725dc8a70b974fbfad598845247bf 100644
--- a/manifests/batches/goedel_workbook/000693.json
+++ b/manifests/batches/goedel_workbook/000693.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000693",
   "batch_fingerprint": "5325dffc959b13eefa0ff44ab6f8ed0a7dc4336093fc12ba4dfcac79ecb8eee4",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000693-0000-277143936bb646f2.parquet",
-      "sha256": "277143936bb646f2d7468f2532faf002bfeb2bfb0f87c30e3b3a4b0a7650a531",
-      "bytes": 143273,
-      "rows": 35,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000693-0000-fb925836db5df7d0.parquet",
-      "sha256": "fb925836db5df7d060ba078ec8ebb12c85e84af3073e33683113b1c967705e6f",
-      "bytes": 39937,
-      "rows": 2,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000693-0000-455fe0925999f339.parquet",
-      "sha256": "455fe0925999f3397cefe68d66fcdce8a3517e417af142ffd22ac14004ff4888",
-      "bytes": 41166,
-      "rows": 3,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_30518",
     "goedel_workbook:lean_workbook_plus_3052",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017344.lean\",\"f574b10624c6d2e496880c3e33d47c5efa5cc05952ef15051c79a32c7912d207\",0,\"lean_workbook_plus_30596\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017346.lean\",\"dc3f93c67b1886ecc5abe81fcee4732fa5093c1431cbdf0da6b205e48d2662e9\",0,\"lean_workbook_plus_3062\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017349.lean\",\"13f6b6e68fff98df565c1b5e8185724c3df3fdf2c1132b71c18c72eafabdbc59\",0,\"lean_workbook_plus_30631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143273,
+      "path": "data/train/p15/goedel_workbook-000693-0000-277143936bb646f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "277143936bb646f2d7468f2532faf002bfeb2bfb0f87c30e3b3a4b0a7650a531"
+    },
+    {
+      "bytes": 39937,
+      "path": "data/dev/p15/goedel_workbook-000693-0000-fb925836db5df7d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fb925836db5df7d060ba078ec8ebb12c85e84af3073e33683113b1c967705e6f"
+    },
+    {
+      "bytes": 41166,
+      "path": "data/internal_test/p15/goedel_workbook-000693-0000-455fe0925999f339.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "455fe0925999f3397cefe68d66fcdce8a3517e417af142ffd22ac14004ff4888"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000694.json b/manifests/batches/goedel_workbook/000694.json
index fdfdc5239b97c47b4b453f61e965dbad2bc65da7..2fac8285850f9695d1b24f24019565d2dbe288e0 100644
--- a/manifests/batches/goedel_workbook/000694.json
+++ b/manifests/batches/goedel_workbook/000694.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000694",
   "batch_fingerprint": "5510dd3a7e76f28c46378a84207c322cb320df4539d7eeb3bb741ca580baf030",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000694-0000-129b1cadbfc9679f.parquet",
-      "sha256": "129b1cadbfc9679f42849d9e29be1203e5e5b0bb1145fae1e04ca26d15c2a959",
-      "bytes": 174099,
-      "rows": 51,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000694-0000-e12ca8f6eb3a213b.parquet",
-      "sha256": "e12ca8f6eb3a213bf04e1ed73dc0431eb8720feb279120f5be4eef82f0643b4f",
-      "bytes": 26406,
-      "rows": 1,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000694-0000-7bcc7f6225f0db6d.parquet",
-      "sha256": "7bcc7f6225f0db6dbe6897084275830fa421ec395e66ce05d934c61cf85e93ea",
-      "bytes": 53033,
-      "rows": 8,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_30633",
     "goedel_workbook:lean_workbook_plus_30638",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017372.lean\",\"106d58d31e6c2d8a4ced8bd1c6501318a3130457d9dff04da26bb89265d25a44\",0,\"lean_workbook_plus_30754\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017373.lean\",\"588bca0b8402bac176000dd2572bf77d07fe62ba0d33025ef303219069753e2c\",0,\"lean_workbook_plus_30756\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017374.lean\",\"97742539749cd433f72f24e089571b6fc23e591a0d48cdb16a55f5ca18bd8b5a\",0,\"lean_workbook_plus_30757\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174099,
+      "path": "data/train/pad/goedel_workbook-000694-0000-129b1cadbfc9679f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "129b1cadbfc9679f42849d9e29be1203e5e5b0bb1145fae1e04ca26d15c2a959"
+    },
+    {
+      "bytes": 26406,
+      "path": "data/dev/pad/goedel_workbook-000694-0000-e12ca8f6eb3a213b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e12ca8f6eb3a213bf04e1ed73dc0431eb8720feb279120f5be4eef82f0643b4f"
+    },
+    {
+      "bytes": 53033,
+      "path": "data/internal_test/pad/goedel_workbook-000694-0000-7bcc7f6225f0db6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7bcc7f6225f0db6dbe6897084275830fa421ec395e66ce05d934c61cf85e93ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000695.json b/manifests/batches/goedel_workbook/000695.json
index d6da697629304d12c9130c4f6a833c49f166e1e3..df893e6dc07fea436e2643219f0eb48b77d69fda 100644
--- a/manifests/batches/goedel_workbook/000695.json
+++ b/manifests/batches/goedel_workbook/000695.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000695",
   "batch_fingerprint": "3ad8381e037c41ae1842ce9ca141346d2acb8be22c1d6b8ec0c0e348555fc6f6",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000695-0000-ebdf6685791f8e82.parquet",
-      "sha256": "ebdf6685791f8e826dde856789bd26a124db187afb71ced294081e343db2a904",
-      "bytes": 68498,
-      "rows": 13,
-      "revision": "8b9d42d95767b6b7704b83e2f51ad243535bedfa"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000695-0000-9056c627e7f245e3.parquet",
-      "sha256": "9056c627e7f245e3a7f4241974537c54ca4189212d1efb58634ef2abf29ca90f",
-      "bytes": 61986,
-      "rows": 8,
-      "revision": "8b9d42d95767b6b7704b83e2f51ad243535bedfa"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000695-0000-d0e7815eec4e0992.parquet",
-      "sha256": "d0e7815eec4e09921ed5209ec9c18f4bfe31963b4b9db254d89c9e238955c2db",
-      "bytes": 63419,
-      "rows": 4,
-      "revision": "8b9d42d95767b6b7704b83e2f51ad243535bedfa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3076",
     "goedel_workbook:lean_workbook_plus_30760",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017396.lean\",\"06f76bd38c8c0126ae54819a793a6643dda3ebb6d37261678233c1dfc4a44968\",0,\"lean_workbook_plus_30850\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017397.lean\",\"00cf821abbdbda2ca0af74119672cc2cdf55b7edd7c8eaa6810bbf4fd0732eb1\",0,\"lean_workbook_plus_30856\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017399.lean\",\"7aed7f379b870cffe31542d153356b2b12f1ff589321f4e902319b92b0500942\",0,\"lean_workbook_plus_30859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68498,
+      "path": "data/train/p15/goedel_workbook-000695-0000-ebdf6685791f8e82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ebdf6685791f8e826dde856789bd26a124db187afb71ced294081e343db2a904"
+    },
+    {
+      "bytes": 61986,
+      "path": "data/dev/p15/goedel_workbook-000695-0000-9056c627e7f245e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9056c627e7f245e3a7f4241974537c54ca4189212d1efb58634ef2abf29ca90f"
+    },
+    {
+      "bytes": 63419,
+      "path": "data/internal_test/p15/goedel_workbook-000695-0000-d0e7815eec4e0992.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d0e7815eec4e09921ed5209ec9c18f4bfe31963b4b9db254d89c9e238955c2db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000696.json b/manifests/batches/goedel_workbook/000696.json
index e822ac5d167107b47489a9a6a28d6b79fa851539..d818a3c59d723f0084a71d62838e42854bd3147b 100644
--- a/manifests/batches/goedel_workbook/000696.json
+++ b/manifests/batches/goedel_workbook/000696.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000696",
   "batch_fingerprint": "9e0104a677598d43ec23ee28c94b473a0e019ba2aad04b6e6a8971c3a36e6a89",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000696-0000-aefedbb8e843484a.parquet",
-      "sha256": "aefedbb8e843484aaeb7819383046c672bb4ba0d61820d08c48f54ffac37d374",
-      "bytes": 87918,
-      "rows": 24,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000696-0000-37690ba7b5c42ec3.parquet",
-      "sha256": "37690ba7b5c42ec36660a4e3aa13358e6c51c4a76db67e6a588c2cebabbba375",
-      "bytes": 49789,
-      "rows": 2,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000696-0000-d82d2213e7f03688.parquet",
-      "sha256": "d82d2213e7f036883af8580cac29eba261c88474620398cae42f5a33a8ed8e08",
-      "bytes": 50448,
-      "rows": 11,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_30881",
     "goedel_workbook:lean_workbook_plus_30891",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017422.lean\",\"380d346fb08b859684b171e564ee51f06f2a2eb7a833b604cab5684d2f5946d0\",0,\"lean_workbook_plus_30985\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017423.lean\",\"79cb97a8b81ca1220d92b00c08dfe1337d16038f9575b8459b8e125feca03ae3\",0,\"lean_workbook_plus_30986\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017424.lean\",\"5dc215c7d54719aa872fb543b4f14f28ad808c7fc82d3a7b75848c3be2a28662\",0,\"lean_workbook_plus_3099\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87918,
+      "path": "data/train/p1d/goedel_workbook-000696-0000-aefedbb8e843484a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "aefedbb8e843484aaeb7819383046c672bb4ba0d61820d08c48f54ffac37d374"
+    },
+    {
+      "bytes": 49789,
+      "path": "data/dev/p1d/goedel_workbook-000696-0000-37690ba7b5c42ec3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "37690ba7b5c42ec36660a4e3aa13358e6c51c4a76db67e6a588c2cebabbba375"
+    },
+    {
+      "bytes": 50448,
+      "path": "data/internal_test/p1d/goedel_workbook-000696-0000-d82d2213e7f03688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d82d2213e7f036883af8580cac29eba261c88474620398cae42f5a33a8ed8e08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000697.json b/manifests/batches/goedel_workbook/000697.json
index b9f3fbc06c52834602f4ffff0bccc533b465ba68..e00242e6a9654e6085a87c3e2f2d1aa81161e27c 100644
--- a/manifests/batches/goedel_workbook/000697.json
+++ b/manifests/batches/goedel_workbook/000697.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000697",
   "batch_fingerprint": "731e53eca22f8017c129e55523459e644fec5d44c6659544e7e0d6d36e925974",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000697-0000-b7f9889fa17a5c82.parquet",
-      "sha256": "b7f9889fa17a5c82c3ad6c389fceb015f3b3a8bf4c31e4f5bc9920bf2772de4d",
-      "bytes": 172657,
-      "rows": 35,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000697-0000-2fafa8046a77eec6.parquet",
-      "sha256": "2fafa8046a77eec6cf6bf7b8bb7a05c106abfa073ee898523be06dcc133eb107",
-      "bytes": 35143,
-      "rows": 1,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31",
     "goedel_workbook:lean_workbook_plus_3100",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017439.lean\",\"e81772cae14f1a2f680efbec9d94011b3b3066745573be28cf79b9c6cf8bd85a\",0,\"lean_workbook_plus_31055\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017443.lean\",\"3cb1a6f44d22a88e46855bd0c7cd3e17ac0d50eeef73fcf2fdd37e3151857a75\",0,\"lean_workbook_plus_3107\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017447.lean\",\"c5fb19aa08175d12fc79a5440a0e01a5b5d8fd8c84fe5052490d54136850688d\",0,\"lean_workbook_plus_31096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172657,
+      "path": "data/train/pec/goedel_workbook-000697-0000-b7f9889fa17a5c82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "b7f9889fa17a5c82c3ad6c389fceb015f3b3a8bf4c31e4f5bc9920bf2772de4d"
+    },
+    {
+      "bytes": 35143,
+      "path": "data/internal_test/pec/goedel_workbook-000697-0000-2fafa8046a77eec6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2fafa8046a77eec6cf6bf7b8bb7a05c106abfa073ee898523be06dcc133eb107"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000698.json b/manifests/batches/goedel_workbook/000698.json
index 8a87faec5438be1532362b2d4c8b38d8d6fdb136..95b3a95a1217b19b8a7323912183ef01026ff52f 100644
--- a/manifests/batches/goedel_workbook/000698.json
+++ b/manifests/batches/goedel_workbook/000698.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000698",
   "batch_fingerprint": "156933f08da30ec7cf2a025e2f74974ee09193c3dcc6033e9160b444dc089dc3",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000698-0000-eb2b417a48691a47.parquet",
-      "sha256": "eb2b417a48691a478d877748e0a4b2738b10f06b455a261715201bba4b92c911",
-      "bytes": 112032,
-      "rows": 25,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000698-0000-32921f8e43e6fa46.parquet",
-      "sha256": "32921f8e43e6fa465a49ae23f72188acc381211578d3a7b74449767aad708d72",
-      "bytes": 42483,
-      "rows": 2,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000698-0000-7e78427634dd81e0.parquet",
-      "sha256": "7e78427634dd81e0f1a333116c59dbc4737547902366089b2dd109d7e2307ae6",
-      "bytes": 67599,
-      "rows": 13,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31107",
     "goedel_workbook:lean_workbook_plus_31109",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017471.lean\",\"a5187fdc679e4be974daa719f274d01aaf687a69d88d8b63718113e1d70211bb\",0,\"lean_workbook_plus_3120\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017473.lean\",\"d76af970bd9d6962df4e20479b3e5d0d62c725550369148e5e3b9c1539242581\",0,\"lean_workbook_plus_3121\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017474.lean\",\"6b606caf6609265df3be29ed1587d6e125a5ce1a7e8a36670fd9bc920ae173b2\",0,\"lean_workbook_plus_31215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112032,
+      "path": "data/train/pa0/goedel_workbook-000698-0000-eb2b417a48691a47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "eb2b417a48691a478d877748e0a4b2738b10f06b455a261715201bba4b92c911"
+    },
+    {
+      "bytes": 42483,
+      "path": "data/dev/pa0/goedel_workbook-000698-0000-32921f8e43e6fa46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "32921f8e43e6fa465a49ae23f72188acc381211578d3a7b74449767aad708d72"
+    },
+    {
+      "bytes": 67599,
+      "path": "data/internal_test/pa0/goedel_workbook-000698-0000-7e78427634dd81e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7e78427634dd81e0f1a333116c59dbc4737547902366089b2dd109d7e2307ae6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000699.json b/manifests/batches/goedel_workbook/000699.json
index 054512f7047b209dbd255de46cc015c7fa838b24..84a0caaf47ff206aa6b53fec2f37147a9bdd50fc 100644
--- a/manifests/batches/goedel_workbook/000699.json
+++ b/manifests/batches/goedel_workbook/000699.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000699",
   "batch_fingerprint": "62e8094389e4ad881193434c675f8225f148e0c974361fe20ecfdce121d321d9",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000699-0000-f73eb21504e36c45.parquet",
-      "sha256": "f73eb21504e36c45cebd12f0fbef0c78cec0f55a79191bb24f1e73169e49bd72",
-      "bytes": 105506,
-      "rows": 24,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000699-0000-c9c634142b6e2105.parquet",
-      "sha256": "c9c634142b6e210530afaa3c5efced5a46e8bef4bc9eca90563fc724e5dca690",
-      "bytes": 49391,
-      "rows": 4,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000699-0000-84db5f98e22f6f85.parquet",
-      "sha256": "84db5f98e22f6f85363497582d19d42e07148706d378c560a3ffe9ae8180d449",
-      "bytes": 34079,
-      "rows": 1,
-      "revision": "082a6b8d56faa205213ff68636d4d2ca4349b3ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31217",
     "goedel_workbook:lean_workbook_plus_31221",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017492.lean\",\"9a3e9ea5f383732935f7d68db74e88ee9b8be4700ce78e0e7271fb43872ce13a\",0,\"lean_workbook_plus_3127\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017493.lean\",\"eef13845ad7fad6cc1366b99235f219365c08cfd90ca8c82846d0fa025c22cb2\",0,\"lean_workbook_plus_31271\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017499.lean\",\"93770caf09347489372140a4518b9ba1a283ebb07aebd0b33b268624045941e7\",0,\"lean_workbook_plus_31292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105506,
+      "path": "data/train/pfb/goedel_workbook-000699-0000-f73eb21504e36c45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f73eb21504e36c45cebd12f0fbef0c78cec0f55a79191bb24f1e73169e49bd72"
+    },
+    {
+      "bytes": 49391,
+      "path": "data/dev/pfb/goedel_workbook-000699-0000-c9c634142b6e2105.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c9c634142b6e210530afaa3c5efced5a46e8bef4bc9eca90563fc724e5dca690"
+    },
+    {
+      "bytes": 34079,
+      "path": "data/internal_test/pfb/goedel_workbook-000699-0000-84db5f98e22f6f85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "84db5f98e22f6f85363497582d19d42e07148706d378c560a3ffe9ae8180d449"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000700.json b/manifests/batches/goedel_workbook/000700.json
index bcd0e4497018be7a29b77d92b851279c4d4197e5..94cf2a92086285d0dce7272de99c6283cfa13a5f 100644
--- a/manifests/batches/goedel_workbook/000700.json
+++ b/manifests/batches/goedel_workbook/000700.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000700",
   "batch_fingerprint": "5ce777801c79ed19150acd1e9d9a0e8864755217ce92d8f3e2257023603188c6",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000700-0000-b6d9d08d362a1dc1.parquet",
-      "sha256": "b6d9d08d362a1dc15ac82b1bba2c348d6d0c8d37c522dc5a8f4ead3633371c78",
-      "bytes": 89961,
-      "rows": 21,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000700-0000-e02545a79b5f868f.parquet",
-      "sha256": "e02545a79b5f868f2436adf7bd7ffa4b667dfb602b198ac454d8b863dd26a740",
-      "bytes": 53624,
-      "rows": 5,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000700-0000-21797e4a039d6632.parquet",
-      "sha256": "21797e4a039d663210285d4a2f6eeeb547e0dc233384991eca3baa399a3e3ee0",
-      "bytes": 45416,
-      "rows": 5,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31297",
     "goedel_workbook:lean_workbook_plus_31301",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017522.lean\",\"e03234d698711402c5850ba924ea37b1dca83ccce32b457a2baaf66762c12dc7\",0,\"lean_workbook_plus_31366\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017523.lean\",\"2ab33df05221872ffb62aa9f5caa729241b6e724f51f38b47eaa8cc3d7f565f6\",0,\"lean_workbook_plus_31367\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017524.lean\",\"34f5be7468365f6397dc910d32050d4cb5f5a8bd2d8d3493ade00ffe7bb69b01\",0,\"lean_workbook_plus_31368\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89961,
+      "path": "data/train/pdb/goedel_workbook-000700-0000-b6d9d08d362a1dc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b6d9d08d362a1dc15ac82b1bba2c348d6d0c8d37c522dc5a8f4ead3633371c78"
+    },
+    {
+      "bytes": 53624,
+      "path": "data/dev/pdb/goedel_workbook-000700-0000-e02545a79b5f868f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e02545a79b5f868f2436adf7bd7ffa4b667dfb602b198ac454d8b863dd26a740"
+    },
+    {
+      "bytes": 45416,
+      "path": "data/internal_test/pdb/goedel_workbook-000700-0000-21797e4a039d6632.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "21797e4a039d663210285d4a2f6eeeb547e0dc233384991eca3baa399a3e3ee0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000701.json b/manifests/batches/goedel_workbook/000701.json
index 6487957e3ad14925408eee86482738c8e07caf60..b6c4eafe1e7dc9cbd61f24b2a7120ce331186f11 100644
--- a/manifests/batches/goedel_workbook/000701.json
+++ b/manifests/batches/goedel_workbook/000701.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000701",
   "batch_fingerprint": "7a1da95a5d42e670a0cdec26d3cb5ccf6ee6624b1f61e5a4c9a5b3132d935efa",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000701-0000-24346b117e77f0c5.parquet",
-      "sha256": "24346b117e77f0c5d55e708b4f240bef5f2860099b7179990874d490df0cabad",
-      "bytes": 167805,
-      "rows": 39,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000701-0000-d6270d5770d6bd6c.parquet",
-      "sha256": "d6270d5770d6bd6c8d7ff575720f565eef0c92a6bea6ab9edf8325cfc3223f34",
-      "bytes": 26144,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31370",
     "goedel_workbook:lean_workbook_plus_31376",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017545.lean\",\"2e8305992fa3ff8c38c7de6dfc7dc880519be9087177dc2044098c93399d2862\",0,\"lean_workbook_plus_31472\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017546.lean\",\"a231dacc643ab332b1f29fda676672304579ec2e41b62bfa5bdde3f011c24b29\",0,\"lean_workbook_plus_31473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017549.lean\",\"21cc29922597365b26cba1d83b77ea9b1aec066282a36b1692531d2f57a4b430\",0,\"lean_workbook_plus_31494\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167805,
+      "path": "data/train/p15/goedel_workbook-000701-0000-24346b117e77f0c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "24346b117e77f0c5d55e708b4f240bef5f2860099b7179990874d490df0cabad"
+    },
+    {
+      "bytes": 26144,
+      "path": "data/internal_test/p15/goedel_workbook-000701-0000-d6270d5770d6bd6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d6270d5770d6bd6c8d7ff575720f565eef0c92a6bea6ab9edf8325cfc3223f34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000702.json b/manifests/batches/goedel_workbook/000702.json
index a411aeeb0438aa8263f5bc58c55747ec1344bda1..df22a45fc1c1eaa48da5c7a27a731566dd0de8b5 100644
--- a/manifests/batches/goedel_workbook/000702.json
+++ b/manifests/batches/goedel_workbook/000702.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000702",
   "batch_fingerprint": "eadf3840a61b835354312319cb4109de92e496624e6e17713c474f33d0ee92db",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000702-0000-0cffe71e883640d3.parquet",
-      "sha256": "0cffe71e883640d3c55d0327b8d624098e1d3b51006a11f545cc699ecfb98657",
-      "bytes": 119161,
-      "rows": 32,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000702-0000-5964aa861636e1aa.parquet",
-      "sha256": "5964aa861636e1aa23baa52ff8b837c55d3f3085173ec350cc004d7405a4cb80",
-      "bytes": 58852,
-      "rows": 12,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31513",
     "goedel_workbook:lean_workbook_plus_31515",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017569.lean\",\"9a3a82c66550aabb2fc4e0f24d7389f9bc3e0e900231a0a211bcaa1e203302a7\",0,\"lean_workbook_plus_31569\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017571.lean\",\"71c884e34d77510b3563be9e90181ae208602ba003c0ca03f5bf4daebdb632df\",0,\"lean_workbook_plus_31571\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017572.lean\",\"f138ed0c6d88e744cb6fb51ea378e8c4332787b1f16f0c9471da475a62fbfc4a\",0,\"lean_workbook_plus_31579\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119161,
+      "path": "data/train/pfc/goedel_workbook-000702-0000-0cffe71e883640d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "0cffe71e883640d3c55d0327b8d624098e1d3b51006a11f545cc699ecfb98657"
+    },
+    {
+      "bytes": 58852,
+      "path": "data/internal_test/pfc/goedel_workbook-000702-0000-5964aa861636e1aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5964aa861636e1aa23baa52ff8b837c55d3f3085173ec350cc004d7405a4cb80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000703.json b/manifests/batches/goedel_workbook/000703.json
index bbee25c245832e843f3efe62a45aaba657107eee..2a2daf17c5b16f5a33d98c28382f79a72eb4f1b1 100644
--- a/manifests/batches/goedel_workbook/000703.json
+++ b/manifests/batches/goedel_workbook/000703.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000703",
   "batch_fingerprint": "0ec930519f77982a3ebce506016dcf84582f597c3ea62ec591c20b6f3ffb293c",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000703-0000-927906f7a2bfb1cd.parquet",
-      "sha256": "927906f7a2bfb1cd71767dcc0cbc98d8c293246401d26164c32c36f78f18eef2",
-      "bytes": 268036,
-      "rows": 49,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000703-0000-742a034df0c71451.parquet",
-      "sha256": "742a034df0c71451cc174d5fa696216bd9626d2883e2a62b3c64977f856615f8",
-      "bytes": 69402,
-      "rows": 5,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31605",
     "goedel_workbook:lean_workbook_plus_31615",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017595.lean\",\"6c65a98c254b6c0522c40db1256b4fe65be46b833f0374cc34e72fcbb7b88462\",0,\"lean_workbook_plus_31690\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017597.lean\",\"64921e448fb652de152099d54035fea01383db3be2bfee284350f00b83b09ed1\",0,\"lean_workbook_plus_31696\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017599.lean\",\"04c20b864a474bba23a33d68f13e508d47f0cd615370fb5e3063da67d5370f02\",0,\"lean_workbook_plus_31707\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268036,
+      "path": "data/train/p5d/goedel_workbook-000703-0000-927906f7a2bfb1cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "927906f7a2bfb1cd71767dcc0cbc98d8c293246401d26164c32c36f78f18eef2"
+    },
+    {
+      "bytes": 69402,
+      "path": "data/internal_test/p5d/goedel_workbook-000703-0000-742a034df0c71451.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "742a034df0c71451cc174d5fa696216bd9626d2883e2a62b3c64977f856615f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000704.json b/manifests/batches/goedel_workbook/000704.json
index f5c2b3cc946c80893917ce619287375e2dd13c79..b6447c33f82b9a5c02d685bf011f69f6e7303dd7 100644
--- a/manifests/batches/goedel_workbook/000704.json
+++ b/manifests/batches/goedel_workbook/000704.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000704",
   "batch_fingerprint": "5a7457ce966676da41b16c4fd6762258e5be229b5353a34d3e9509c5fd2ac570",
   "evidence": {
@@ -192,29 +191,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000704-0000-7b8ce6884435b8c2.parquet",
-      "sha256": "7b8ce6884435b8c20a17c0c53f104206a4255316860d2fa62ef7518deb62f9a1",
-      "bytes": 122560,
-      "rows": 30,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000704-0000-b2789fb443406801.parquet",
-      "sha256": "b2789fb4434068017aaf5cf4d2e9cabb02434a23415aac3ed5ae07991e01a7ce",
-      "bytes": 38154,
-      "rows": 5,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000704-0000-e1a8270da1b12116.parquet",
-      "sha256": "e1a8270da1b121165423c32b377c9c658a83a33d2dcdc277c6e3145794789153",
-      "bytes": 42305,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31715",
     "goedel_workbook:lean_workbook_plus_31719",
@@ -250,5 +227,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017622.lean\",\"afeb5a159b9ddddad1ee038756619889f73b151aa139ea68ac43e4a391e25c09\",0,\"lean_workbook_plus_31792\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017623.lean\",\"a7cf16f908bde604aba90486a2b8bed3266f694cd55d5982481da32642d38617\",0,\"lean_workbook_plus_31794\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017624.lean\",\"dece0d5be726f4f1a77eff610505d3c5fa1ed2fd949780b5afbbc973a24d3653\",0,\"lean_workbook_plus_31796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122560,
+      "path": "data/train/p9d/goedel_workbook-000704-0000-7b8ce6884435b8c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "7b8ce6884435b8c20a17c0c53f104206a4255316860d2fa62ef7518deb62f9a1"
+    },
+    {
+      "bytes": 38154,
+      "path": "data/dev/p9d/goedel_workbook-000704-0000-b2789fb443406801.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b2789fb4434068017aaf5cf4d2e9cabb02434a23415aac3ed5ae07991e01a7ce"
+    },
+    {
+      "bytes": 42305,
+      "path": "data/internal_test/p9d/goedel_workbook-000704-0000-e1a8270da1b12116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e1a8270da1b121165423c32b377c9c658a83a33d2dcdc277c6e3145794789153"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000705.json b/manifests/batches/goedel_workbook/000705.json
index e37bbf6d4433df913ec46899067c1af3594a4498..f0e7096fd50e6e9bacf64f8c1a213c6e689fb449 100644
--- a/manifests/batches/goedel_workbook/000705.json
+++ b/manifests/batches/goedel_workbook/000705.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000705",
   "batch_fingerprint": "2a622002eb08d58eca075678ac5dd3c3dfd6b9271e8a643e3ea5183e487538b8",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000705-0000-0818b557c0956fb9.parquet",
-      "sha256": "0818b557c0956fb96407fb923f7a02af34d550708e53ae4a3451dd83f32bf04a",
-      "bytes": 182466,
-      "rows": 45,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000705-0000-05154e9c11429224.parquet",
-      "sha256": "05154e9c114292244ef0372e77ea1d12413c80d8dc883f9e7540e839ae11fef1",
-      "bytes": 38599,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31800",
     "goedel_workbook:lean_workbook_plus_31804",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017646.lean\",\"637257c493d34e45c62a962c950514e97ec88d395656aafd00299f4e73261fa3\",0,\"lean_workbook_plus_31883\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017649.lean\",\"31459710f436e2271cb7001566fc9721a7da62f826eb1182e6a4546134103638\",0,\"lean_workbook_plus_31909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182466,
+      "path": "data/train/p97/goedel_workbook-000705-0000-0818b557c0956fb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "0818b557c0956fb96407fb923f7a02af34d550708e53ae4a3451dd83f32bf04a"
+    },
+    {
+      "bytes": 38599,
+      "path": "data/internal_test/p97/goedel_workbook-000705-0000-05154e9c11429224.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "05154e9c114292244ef0372e77ea1d12413c80d8dc883f9e7540e839ae11fef1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000706.json b/manifests/batches/goedel_workbook/000706.json
index cd33135d782e474605755149fc18dd24162fc9f3..a59a7fa2aebcbb7950d37b82a5cd90f6a743c589 100644
--- a/manifests/batches/goedel_workbook/000706.json
+++ b/manifests/batches/goedel_workbook/000706.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000706",
   "batch_fingerprint": "1d4b6e79a51f6f487cf2f30893368a00a0d5de7e552ad7a11bf0687face70f11",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000706-0000-30ffa5820caf3d03.parquet",
-      "sha256": "30ffa5820caf3d031c25d98069810a504d390f3463cbc59299924a224c86ad36",
-      "bytes": 179354,
-      "rows": 38,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_31917",
     "goedel_workbook:lean_workbook_plus_31919",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017668.lean\",\"a8eb0e92b0a3cdcafa848afb2f5be945bf8b62ce1d41a32f1a7c9ef6bf941cea\",0,\"lean_workbook_plus_3200\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017669.lean\",\"4343d36f7fb0005f6987fbdbb0332c1ec0faf36be9d1850b1d73be296b7ccb60\",0,\"lean_workbook_plus_32000\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017672.lean\",\"de1bb84ae9c2c20f59b9ef8a73ec93efde057f1e338c3f3b6709b8aba4959f5d\",0,\"lean_workbook_plus_32020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179354,
+      "path": "data/train/p87/goedel_workbook-000706-0000-30ffa5820caf3d03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "30ffa5820caf3d031c25d98069810a504d390f3463cbc59299924a224c86ad36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000707.json b/manifests/batches/goedel_workbook/000707.json
index f98e9293a6314532e0eb43063fe78039537ad8eb..6f7a5911b4b659f3088ce1b5f8a3f6cfabab5866 100644
--- a/manifests/batches/goedel_workbook/000707.json
+++ b/manifests/batches/goedel_workbook/000707.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000707",
   "batch_fingerprint": "14bdddc1001472b967c74d09abb1f3e1e7f8023f0707e162ab1c3aeccb9f3f72",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000707-0000-15b47d82a17e38ab.parquet",
-      "sha256": "15b47d82a17e38abda155b59c70d20b94958924bd418704aabf311c3a3ac62e2",
-      "bytes": 165249,
-      "rows": 39,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000707-0000-b5f8f571be3a7747.parquet",
-      "sha256": "b5f8f571be3a774705af4cd41d9306652a6f008db3acfc23a0d8fcaebe300f3e",
-      "bytes": 36850,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32028",
     "goedel_workbook:lean_workbook_plus_32044",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017696.lean\",\"b69e715b1cbda8b07735c4dff22a8b8692c703d6b83dea8792fefe3760ef53dd\",0,\"lean_workbook_plus_32085\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017698.lean\",\"45fa3e96a57fe512719e768185117a65e99f90ee553e64ed626a813c5ae10cd8\",0,\"lean_workbook_plus_32092\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017699.lean\",\"8d1beed7877996d8ffcb7682d842a24830fa7f563f6127a14503207709daacf9\",0,\"lean_workbook_plus_3210\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165249,
+      "path": "data/train/pd0/goedel_workbook-000707-0000-15b47d82a17e38ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "15b47d82a17e38abda155b59c70d20b94958924bd418704aabf311c3a3ac62e2"
+    },
+    {
+      "bytes": 36850,
+      "path": "data/dev/pd0/goedel_workbook-000707-0000-b5f8f571be3a7747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b5f8f571be3a774705af4cd41d9306652a6f008db3acfc23a0d8fcaebe300f3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000708.json b/manifests/batches/goedel_workbook/000708.json
index f2e5d768de8d8b5fcf456bf315a6dc373d9548f7..f2c2cb5f544445c0db418252cb53bd58daf7a9c6 100644
--- a/manifests/batches/goedel_workbook/000708.json
+++ b/manifests/batches/goedel_workbook/000708.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000708",
   "batch_fingerprint": "f8155a2f189d29b7ce2339a1921d1ff7e4ba9968f9a4a3bcce49b5a80404830e",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000708-0000-d5f36531ffa5c9c1.parquet",
-      "sha256": "d5f36531ffa5c9c176a91eb39cf6a14bea33d98cfb3b7f7a20f4ff89b2e5f547",
-      "bytes": 134435,
-      "rows": 33,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000708-0000-091dbfd97922dcf2.parquet",
-      "sha256": "091dbfd97922dcf29d18ecba1ae5de25237e8fa192e78737de65d1b6c8326bc2",
-      "bytes": 40471,
-      "rows": 3,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000708-0000-9153c24af4ec2491.parquet",
-      "sha256": "9153c24af4ec2491ff581507ee692482666d6f152d98c6cca836521b92e214e0",
-      "bytes": 41322,
-      "rows": 6,
-      "revision": "7d8f7892aaf33331d9620c0f8636cab34b9e87ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3213",
     "goedel_workbook:lean_workbook_plus_32136",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017721.lean\",\"7165eb2843bead4cdcfa348ec51bf6ff8b48793c0dc08a52a07a6d5915ba0dd4\",0,\"lean_workbook_plus_32212\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017723.lean\",\"2622f86978a4476f6536a88c85f5bee8b6257d4666a5261d5263fb671ea043b4\",0,\"lean_workbook_plus_32215\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017724.lean\",\"581c681dcf13a184b40194f6065a728b561530fc404d6737a409011c93e5eaf0\",0,\"lean_workbook_plus_32216\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134435,
+      "path": "data/train/p5b/goedel_workbook-000708-0000-d5f36531ffa5c9c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d5f36531ffa5c9c176a91eb39cf6a14bea33d98cfb3b7f7a20f4ff89b2e5f547"
+    },
+    {
+      "bytes": 40471,
+      "path": "data/dev/p5b/goedel_workbook-000708-0000-091dbfd97922dcf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "091dbfd97922dcf29d18ecba1ae5de25237e8fa192e78737de65d1b6c8326bc2"
+    },
+    {
+      "bytes": 41322,
+      "path": "data/internal_test/p5b/goedel_workbook-000708-0000-9153c24af4ec2491.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9153c24af4ec2491ff581507ee692482666d6f152d98c6cca836521b92e214e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000709.json b/manifests/batches/goedel_workbook/000709.json
index 3a7365fe3c6683140ecd51e152f18c524aaeb2a3..d1c64c49f62fb293ebd4d13b8cf680482830abec 100644
--- a/manifests/batches/goedel_workbook/000709.json
+++ b/manifests/batches/goedel_workbook/000709.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000709",
   "batch_fingerprint": "bdfe221c75571641eb324381a7c4481ade1971d3c2fe1c06ca2fb91bbe2b438a",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000709-0000-1997f0fbe32e2399.parquet",
-      "sha256": "1997f0fbe32e23993dee33ab2c375e5900b60764e35f7dd7087b47977a925e9b",
-      "bytes": 163465,
-      "rows": 39,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000709-0000-92e33f0cfc863f3a.parquet",
-      "sha256": "92e33f0cfc863f3a8a792c885a5a10582d50a08142d82cd92ac2608d9cb9d02d",
-      "bytes": 37768,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000709-0000-493eba1138c7f9f9.parquet",
-      "sha256": "493eba1138c7f9f9e05dca4e71b2d58534c66ea8aa1c0d4f76d3ab20436edc73",
-      "bytes": 31519,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32227",
     "goedel_workbook:lean_workbook_plus_32238",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017739.lean\",\"a8a9b23b1639e7e09afdf3598bb860b780f8ba086d061467dc59ccfa24dd63d3\",0,\"lean_workbook_plus_32277\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017744.lean\",\"52e20bc81efd13ced66eaa3ee36fe777d8454ea2b924488735d3fad4e6f227fc\",0,\"lean_workbook_plus_32289\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017747.lean\",\"46a61ca14e3cd0f740b6d3f44cfa0d729afaac357f040f87467492c7daa33d48\",0,\"lean_workbook_plus_32298\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163465,
+      "path": "data/train/p85/goedel_workbook-000709-0000-1997f0fbe32e2399.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "1997f0fbe32e23993dee33ab2c375e5900b60764e35f7dd7087b47977a925e9b"
+    },
+    {
+      "bytes": 37768,
+      "path": "data/dev/p85/goedel_workbook-000709-0000-92e33f0cfc863f3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "92e33f0cfc863f3a8a792c885a5a10582d50a08142d82cd92ac2608d9cb9d02d"
+    },
+    {
+      "bytes": 31519,
+      "path": "data/internal_test/p85/goedel_workbook-000709-0000-493eba1138c7f9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "493eba1138c7f9f9e05dca4e71b2d58534c66ea8aa1c0d4f76d3ab20436edc73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000710.json b/manifests/batches/goedel_workbook/000710.json
index 2e8b7f8ccfcd160a99c51c9bc07dfbd594ba8c37..5a10a00c6688f7246044ebec388edad84c9eaf5b 100644
--- a/manifests/batches/goedel_workbook/000710.json
+++ b/manifests/batches/goedel_workbook/000710.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000710",
   "batch_fingerprint": "a89a9502c65bc7764b819f1c4e32379f52ffaca2debd09cfb6f95cfa45884aed",
   "evidence": {
@@ -136,36 +135,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000710-0000-c868fa6ae83c14f9.parquet",
-      "sha256": "c868fa6ae83c14f941df6bd521fc4068855a723cf9a00e8629165f15282960f0",
-      "bytes": 163628,
-      "rows": 37,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000710-0000-b62155fb44d65a97.parquet",
-      "sha256": "b62155fb44d65a97573d4d69cfcf4d5a160c9fd8e33a2089ac6a2a6d90c2c772",
-      "bytes": 35005,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000710-0000-5380a885d99da1db.parquet",
-      "sha256": "5380a885d99da1db2c95be0804b09a4d204bfb595ab046c3a2347961ef2ffb5d",
-      "bytes": 34460,
-      "rows": 3,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000710-0000-88ea62bbe98765b5.parquet",
-      "sha256": "88ea62bbe98765b5f66de008508ff4bd49cb826ee2de618f83ed4a3c726d76dc",
-      "bytes": 32860,
-      "rows": 2,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32304",
     "goedel_workbook:lean_workbook_plus_32309",
@@ -207,5 +177,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017772.lean\",\"a38c99b29152577ec87dc1614c22998d3a52640101793f4430a2af4e94933dd6\",0,\"lean_workbook_plus_32392\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017773.lean\",\"340c5814d98411b0ab6970db7fd64b23ebcdc35ecacd0a9f1a3e188ebe0dd940\",0,\"lean_workbook_plus_32397\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017774.lean\",\"443e1da8bb2fa77a1dc6c00e58250f7f5679b407df60242e64d8bd0c216f44d7\",0,\"lean_workbook_plus_32403\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163628,
+      "path": "data/train/p59/goedel_workbook-000710-0000-c868fa6ae83c14f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c868fa6ae83c14f941df6bd521fc4068855a723cf9a00e8629165f15282960f0"
+    },
+    {
+      "bytes": 35005,
+      "path": "data/dev/p59/goedel_workbook-000710-0000-b62155fb44d65a97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b62155fb44d65a97573d4d69cfcf4d5a160c9fd8e33a2089ac6a2a6d90c2c772"
+    },
+    {
+      "bytes": 34460,
+      "path": "data/internal_test/p59/goedel_workbook-000710-0000-5380a885d99da1db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5380a885d99da1db2c95be0804b09a4d204bfb595ab046c3a2347961ef2ffb5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000711.json b/manifests/batches/goedel_workbook/000711.json
index 2ba9628ecf8d2438d345f0ed6ffb84ed6f514c80..7615caa74fae7245cdaa5f699c78b771f0e5e7ef 100644
--- a/manifests/batches/goedel_workbook/000711.json
+++ b/manifests/batches/goedel_workbook/000711.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000711",
   "batch_fingerprint": "61a8a4b65abea999389ae571a385e7bfe759bbd5c69b046ac2e62af93066fbf6",
   "evidence": {
@@ -280,22 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000711-0000-fabc93edcf6f409f.parquet",
-      "sha256": "fabc93edcf6f409f2133e162b229d388e36ecbc37afb6eafaa247c6eecd20b65",
-      "bytes": 128809,
-      "rows": 30,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000711-0000-5f6598b677823b70.parquet",
-      "sha256": "5f6598b677823b70aebe3fbaf01d148bfa895fe275b508f8e4f7fc54ed9a5579",
-      "bytes": 55548,
-      "rows": 8,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32419",
     "goedel_workbook:lean_workbook_plus_32425",
@@ -321,5 +305,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017797.lean\",\"5f5271c53420e616f1a776d0993d893a5a06078a80d2844329134811ae3d35de\",0,\"lean_workbook_plus_32500\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017798.lean\",\"e89998db7c67b91b8a4ac820b47cd9f823951be06d921bab5875e138f538d669\",0,\"lean_workbook_plus_32505\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017799.lean\",\"b1d81e7bef30ce4f6ed03c1430102268d601c241f4b60de853073d43f91e2137\",0,\"lean_workbook_plus_32509\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128809,
+      "path": "data/train/p47/goedel_workbook-000711-0000-fabc93edcf6f409f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "fabc93edcf6f409f2133e162b229d388e36ecbc37afb6eafaa247c6eecd20b65"
+    },
+    {
+      "bytes": 55548,
+      "path": "data/internal_test/p47/goedel_workbook-000711-0000-5f6598b677823b70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5f6598b677823b70aebe3fbaf01d148bfa895fe275b508f8e4f7fc54ed9a5579"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000712.json b/manifests/batches/goedel_workbook/000712.json
index 4c15ec1daab1c59bbb1b9ae3fd2bb3af7b15e0ca..87e801a7f9bdbd45ce839f17eecdb2c779c7f723 100644
--- a/manifests/batches/goedel_workbook/000712.json
+++ b/manifests/batches/goedel_workbook/000712.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000712",
   "batch_fingerprint": "5bd4cd40097cc907cbfcd8e279b9ac07ea24e9f67971278302ff3ce7765b674b",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000712-0000-a82d78c5d5ae82ee.parquet",
-      "sha256": "a82d78c5d5ae82eeae19232339f22b4da56f8b7c93886adc3435ef05c7e16ce0",
-      "bytes": 207503,
-      "rows": 61,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000712-0000-f7cc89226e67b7ac.parquet",
-      "sha256": "f7cc89226e67b7ac6d2044e06776bbd1f28fbc39fd769c0c4ddf637f7f3e0624",
-      "bytes": 50701,
-      "rows": 6,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000712-0000-48e2384b9325cd42.parquet",
-      "sha256": "48e2384b9325cd42e82cbce4381c98471ffd7d8443f23104d290a3ed73b5e64b",
-      "bytes": 58354,
-      "rows": 7,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32515",
     "goedel_workbook:lean_workbook_plus_32519",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017821.lean\",\"adca7fc44faa3a7b9e7e290e58bfeb3c1e33232aa8eb3585ca4cbde2f6b3f6bc\",0,\"lean_workbook_plus_3259\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017823.lean\",\"d393e43c88f5b8469eda93222260c0fb348815905ba923355dd5e99326320e14\",0,\"lean_workbook_plus_32599\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017824.lean\",\"e7cdcafc8f6a0e0cd29255dde9011f4c479434d69a4f19a5c3a190e0a076a2da\",0,\"lean_workbook_plus_3260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207503,
+      "path": "data/train/p96/goedel_workbook-000712-0000-a82d78c5d5ae82ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "a82d78c5d5ae82eeae19232339f22b4da56f8b7c93886adc3435ef05c7e16ce0"
+    },
+    {
+      "bytes": 50701,
+      "path": "data/dev/p96/goedel_workbook-000712-0000-f7cc89226e67b7ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f7cc89226e67b7ac6d2044e06776bbd1f28fbc39fd769c0c4ddf637f7f3e0624"
+    },
+    {
+      "bytes": 58354,
+      "path": "data/internal_test/p96/goedel_workbook-000712-0000-48e2384b9325cd42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "48e2384b9325cd42e82cbce4381c98471ffd7d8443f23104d290a3ed73b5e64b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000713.json b/manifests/batches/goedel_workbook/000713.json
index 53b78472d755241c593ebc35c18f74060add28c8..26fdf9788856ccf56f137fa431d7fa74860c240d 100644
--- a/manifests/batches/goedel_workbook/000713.json
+++ b/manifests/batches/goedel_workbook/000713.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000713",
   "batch_fingerprint": "a8ddb5e2186e6bb56e48d57ecf87a9a779888392ed669c47bc75ef2bf89ec727",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000713-0000-702507cd0225debb.parquet",
-      "sha256": "702507cd0225debb52f1614c420617b244f5e7b46ff847c1e158943626c137b3",
-      "bytes": 152384,
-      "rows": 33,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000713-0000-e89073e70de30938.parquet",
-      "sha256": "e89073e70de30938c799a5812efc920740aad1f4e46ac571ab493c2cfd25b75d",
-      "bytes": 62407,
-      "rows": 5,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32600",
     "goedel_workbook:lean_workbook_plus_32609",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017847.lean\",\"fbdfc95bb3e66391ae4448435af76e8492c513cd82e4f92534a7f747f82ac20c\",0,\"lean_workbook_plus_32717\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017848.lean\",\"544ff9271d9a6b524d048ff454161ca5c328de017099b78bf8ba6b1c5f017963\",0,\"lean_workbook_plus_32722\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017849.lean\",\"848dddcbc36e43de7105a0e3c2396113767d9d522aeff84ee6da9e7cf083b310\",0,\"lean_workbook_plus_32725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152384,
+      "path": "data/train/pba/goedel_workbook-000713-0000-702507cd0225debb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "702507cd0225debb52f1614c420617b244f5e7b46ff847c1e158943626c137b3"
+    },
+    {
+      "bytes": 62407,
+      "path": "data/internal_test/pba/goedel_workbook-000713-0000-e89073e70de30938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e89073e70de30938c799a5812efc920740aad1f4e46ac571ab493c2cfd25b75d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000714.json b/manifests/batches/goedel_workbook/000714.json
index 001ec862162be2b16cbc42b9652acc359f71b239..56a21d18bfba98aafa052629de75aa57e788585d 100644
--- a/manifests/batches/goedel_workbook/000714.json
+++ b/manifests/batches/goedel_workbook/000714.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000714",
   "batch_fingerprint": "84a204b6484bfe639194d5f1eba782a84f2601e99caee3d8221061e26747ef26",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000714-0000-ea1d787b90ae5e78.parquet",
-      "sha256": "ea1d787b90ae5e7880899c263d3fe06a5c691b361301e4abdd222139062716f7",
-      "bytes": 137864,
-      "rows": 33,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000714-0000-716d1434148dbe78.parquet",
-      "sha256": "716d1434148dbe780d68cf5e9cdad1a60ba7549d4ffb04c07add5b9872e78390",
-      "bytes": 38720,
-      "rows": 3,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32727",
     "goedel_workbook:lean_workbook_plus_32732",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017870.lean\",\"e4d3d5e1735c370d2ff0645379b063248c1f682e13aa7ffda8bd9edb5355ee75\",0,\"lean_workbook_plus_32839\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017871.lean\",\"f3ea05c3e54ce6a264935a96714adb40444118994cff686e23651e5f8bf61c87\",0,\"lean_workbook_plus_3284\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017873.lean\",\"ac757715691279d681affc19a03e9dbb375f2afcf2f45684af51940bb957892d\",0,\"lean_workbook_plus_32852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137864,
+      "path": "data/train/p17/goedel_workbook-000714-0000-ea1d787b90ae5e78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "ea1d787b90ae5e7880899c263d3fe06a5c691b361301e4abdd222139062716f7"
+    },
+    {
+      "bytes": 38720,
+      "path": "data/internal_test/p17/goedel_workbook-000714-0000-716d1434148dbe78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "716d1434148dbe780d68cf5e9cdad1a60ba7549d4ffb04c07add5b9872e78390"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000715.json b/manifests/batches/goedel_workbook/000715.json
index 130fffb00dfbf2b2c72cc686734170965dfa58b7..eab1a5473c99e8b631f9c1bc44279a4b36c11ae4 100644
--- a/manifests/batches/goedel_workbook/000715.json
+++ b/manifests/batches/goedel_workbook/000715.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000715",
   "batch_fingerprint": "5975b12fea3717578388115117a5a9237fb5e2baae7f28c47b4d2737876972f9",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000715-0000-12e7ee757ed3b747.parquet",
-      "sha256": "12e7ee757ed3b747bf00dc41ee07b81d89f5fe30b68563399c81699b963b4786",
-      "bytes": 153133,
-      "rows": 41,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000715-0000-b3cf929cf1202a07.parquet",
-      "sha256": "b3cf929cf1202a071d361146a13bd30e286460c47cc45420ac3b41903a9e61f1",
-      "bytes": 33366,
-      "rows": 1,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000715-0000-49741d137d09b87a.parquet",
-      "sha256": "49741d137d09b87abb0de6c07376c15fe84e50c404fa9c2a0ae74273ebe27484",
-      "bytes": 56446,
-      "rows": 9,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3286",
     "goedel_workbook:lean_workbook_plus_32867",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017897.lean\",\"bfa63904dd175bba54d7eae2bf70ea855c86e9291cceb50eadfbcc6f0fb8f643\",0,\"lean_workbook_plus_32950\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017898.lean\",\"d0a36bd4424d74dac3a98929cac15c46554783f7228522690e037bbfd9f411ee\",0,\"lean_workbook_plus_32954\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017899.lean\",\"6ab4b9e2e9f158754942b0f59949273123fb4071faab5d317ebbe5fd88509dd3\",0,\"lean_workbook_plus_32957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153133,
+      "path": "data/train/pc7/goedel_workbook-000715-0000-12e7ee757ed3b747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "12e7ee757ed3b747bf00dc41ee07b81d89f5fe30b68563399c81699b963b4786"
+    },
+    {
+      "bytes": 33366,
+      "path": "data/dev/pc7/goedel_workbook-000715-0000-b3cf929cf1202a07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b3cf929cf1202a071d361146a13bd30e286460c47cc45420ac3b41903a9e61f1"
+    },
+    {
+      "bytes": 56446,
+      "path": "data/internal_test/pc7/goedel_workbook-000715-0000-49741d137d09b87a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "49741d137d09b87abb0de6c07376c15fe84e50c404fa9c2a0ae74273ebe27484"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000716.json b/manifests/batches/goedel_workbook/000716.json
index de48bfb5aa7a4ac12066539cacb14e9e792a7b89..a19a1860269e09898b50a3aa4e6f051ac81ccf56 100644
--- a/manifests/batches/goedel_workbook/000716.json
+++ b/manifests/batches/goedel_workbook/000716.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000716",
   "batch_fingerprint": "7f5ab93ef8dda55e72075e2f25c323b94142f8ea14bd0963ccf2735db5111eca",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000716-0000-62d6fa80460d5eb0.parquet",
-      "sha256": "62d6fa80460d5eb0b454824ca7ef87d45e60ac5c6570942152c2d547457aad38",
-      "bytes": 166918,
-      "rows": 33,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000716-0000-5c83ba50052b673a.parquet",
-      "sha256": "5c83ba50052b673ade56fb4172b0c26a907ef468765f9415c54854619decd775",
-      "bytes": 38241,
-      "rows": 3,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000716-0000-7dc7c75dd31f4cb4.parquet",
-      "sha256": "7dc7c75dd31f4cb449a403040abfc4a7a8c89e6152de558e97cf2682cfd68713",
-      "bytes": 45902,
-      "rows": 7,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_32958",
     "goedel_workbook:lean_workbook_plus_32961",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017921.lean\",\"91050800318aee0423b900fcc616f63b81b58f46560ea3a19ef34a64d1f5a5d9\",0,\"lean_workbook_plus_33079\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017922.lean\",\"c8b64d2030b0ea08673914d7b5b993be618d28cc7ef4a3d716534835f029352a\",0,\"lean_workbook_plus_3308\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017923.lean\",\"c24e265b4ec9818b096850884a89e5b303594c380c9edfcac0710aef1774a2bc\",0,\"lean_workbook_plus_33090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166918,
+      "path": "data/train/p13/goedel_workbook-000716-0000-62d6fa80460d5eb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "62d6fa80460d5eb0b454824ca7ef87d45e60ac5c6570942152c2d547457aad38"
+    },
+    {
+      "bytes": 38241,
+      "path": "data/dev/p13/goedel_workbook-000716-0000-5c83ba50052b673a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5c83ba50052b673ade56fb4172b0c26a907ef468765f9415c54854619decd775"
+    },
+    {
+      "bytes": 45902,
+      "path": "data/internal_test/p13/goedel_workbook-000716-0000-7dc7c75dd31f4cb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7dc7c75dd31f4cb449a403040abfc4a7a8c89e6152de558e97cf2682cfd68713"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000717.json b/manifests/batches/goedel_workbook/000717.json
index 93158c962477d394dd6a19176ae9b23ccec1a5fc..80c5ff7d5e48d297a45d871923d8e4ea26418ad5 100644
--- a/manifests/batches/goedel_workbook/000717.json
+++ b/manifests/batches/goedel_workbook/000717.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000717",
   "batch_fingerprint": "ab9878447ccd1f4f60df81fbe21df61ffb3f68e47c6595a6fafa1b69dc471d0e",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000717-0000-b986e216ab56d078.parquet",
-      "sha256": "b986e216ab56d07816742f26b73d9fdf1498d73dcf65b5d6fe098aa25cccf848",
-      "bytes": 130447,
-      "rows": 25,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000717-0000-46d52695290cf88e.parquet",
-      "sha256": "46d52695290cf88e31fdd5f546adc36532953b4ab93e824ca27924f2ded8ec5a",
-      "bytes": 46806,
-      "rows": 2,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33093",
     "goedel_workbook:lean_workbook_plus_33106",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017947.lean\",\"4ef140041732170b38da3393bce0981d9dbd93a49da3da1809bf410f0adefa8f\",0,\"lean_workbook_plus_33186\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017948.lean\",\"17ff7e680473d00db87b4db000184a67606d1b0236f1f1c3e087c8a430e46347\",0,\"lean_workbook_plus_33190\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017949.lean\",\"95090d83d0d592b1c59ac9cbae712d50a6e0b07c65aa49b5ccb5fc601939444e\",0,\"lean_workbook_plus_33191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130447,
+      "path": "data/train/p69/goedel_workbook-000717-0000-b986e216ab56d078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b986e216ab56d07816742f26b73d9fdf1498d73dcf65b5d6fe098aa25cccf848"
+    },
+    {
+      "bytes": 46806,
+      "path": "data/internal_test/p69/goedel_workbook-000717-0000-46d52695290cf88e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "46d52695290cf88e31fdd5f546adc36532953b4ab93e824ca27924f2ded8ec5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000718.json b/manifests/batches/goedel_workbook/000718.json
index 83bafe76b8f463cf778ed7f1cc53338a8f710103..3f28057449f557ba6b26e3b73a8c988e3cc9d107 100644
--- a/manifests/batches/goedel_workbook/000718.json
+++ b/manifests/batches/goedel_workbook/000718.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000718",
   "batch_fingerprint": "bc28433add2bea33a226177def858124d8918635a881d7695a114b3017bf2cba",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000718-0000-637e9b0df5130f0d.parquet",
-      "sha256": "637e9b0df5130f0dbe3364e05211427aa247f7897ee8312d36a3750553476858",
-      "bytes": 124098,
-      "rows": 31,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000718-0000-fb33f4fd4c758cf4.parquet",
-      "sha256": "fb33f4fd4c758cf47d00c0ba7fad58582083119800f992e5f2787bda25aa9c7e",
-      "bytes": 52766,
-      "rows": 7,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000718-0000-67b6c6c7910b7603.parquet",
-      "sha256": "67b6c6c7910b76034e3c45c7ec381874be70081414a9907c643356dfe62a0da6",
-      "bytes": 50264,
-      "rows": 5,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33199",
     "goedel_workbook:lean_workbook_plus_33215",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017972.lean\",\"b187bedb524ab9f41f02830e65ded8b0df18c2ffbff7d7d228a22a0a3a16d480\",0,\"lean_workbook_plus_33279\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017973.lean\",\"bad337f6d3343d037cd7c6097e2d9140231d674d65beca128c679527b92be78e\",0,\"lean_workbook_plus_33285\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017974.lean\",\"22fdc6fb653c680cc9c2b96e43f40d7f64db4b7963c584e32eebae68aa3a4f7c\",0,\"lean_workbook_plus_33291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124098,
+      "path": "data/train/pc6/goedel_workbook-000718-0000-637e9b0df5130f0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "637e9b0df5130f0dbe3364e05211427aa247f7897ee8312d36a3750553476858"
+    },
+    {
+      "bytes": 52766,
+      "path": "data/dev/pc6/goedel_workbook-000718-0000-fb33f4fd4c758cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fb33f4fd4c758cf47d00c0ba7fad58582083119800f992e5f2787bda25aa9c7e"
+    },
+    {
+      "bytes": 50264,
+      "path": "data/internal_test/pc6/goedel_workbook-000718-0000-67b6c6c7910b7603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "67b6c6c7910b76034e3c45c7ec381874be70081414a9907c643356dfe62a0da6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000719.json b/manifests/batches/goedel_workbook/000719.json
index 189aafe607a5ca9fec9f421b2120531d0eb025da..01ee249bab5df45eecd38e76481352fa1fbd4808 100644
--- a/manifests/batches/goedel_workbook/000719.json
+++ b/manifests/batches/goedel_workbook/000719.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000719",
   "batch_fingerprint": "09ca70ea56f8521c292872b6939121449aafd1572622a6c568dc6e48f0a9b8aa",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000719-0000-e23c31f814323a9e.parquet",
-      "sha256": "e23c31f814323a9ecf192e52d8b929afc554618b313c3199e576afe42bb73d25",
-      "bytes": 146760,
-      "rows": 38,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000719-0000-98a11fe04a42323e.parquet",
-      "sha256": "98a11fe04a42323e9bd6f6c94df2f374107112883238c74727dbe221b378b254",
-      "bytes": 44527,
-      "rows": 8,
-      "revision": "c28329847d55e2620da221147d933216f6393f2c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_333",
     "goedel_workbook:lean_workbook_plus_33315",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017996.lean\",\"4e7d889355bf44a1fcaf00b759de9071f0fe30530247602e2b6bd454e5690dd2\",0,\"lean_workbook_plus_33370\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017997.lean\",\"3ae9aca2eabf0fe51e6faeca0c034794cbebe7e5e28c024a4787196fe97e2d41\",0,\"lean_workbook_plus_33371\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_017998.lean\",\"de1dfd058d9a1a0822a49a4a380a20cc0ef60e069c8ccd187205235bf66c0b1d\",0,\"lean_workbook_plus_33373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146760,
+      "path": "data/train/p84/goedel_workbook-000719-0000-e23c31f814323a9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "e23c31f814323a9ecf192e52d8b929afc554618b313c3199e576afe42bb73d25"
+    },
+    {
+      "bytes": 44527,
+      "path": "data/internal_test/p84/goedel_workbook-000719-0000-98a11fe04a42323e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "98a11fe04a42323e9bd6f6c94df2f374107112883238c74727dbe221b378b254"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000720.json b/manifests/batches/goedel_workbook/000720.json
index 490eb3113414338a3a01003bf959799b3ffa785c..219b1aedcaea1285c94172ff955f01e41cc74473 100644
--- a/manifests/batches/goedel_workbook/000720.json
+++ b/manifests/batches/goedel_workbook/000720.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000720",
   "batch_fingerprint": "ccee94408ab418dab8add45785a398742595be49f87268e5d0b93144d53f629b",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000720-0000-aad89bffbc4de5d7.parquet",
-      "sha256": "aad89bffbc4de5d7f046a3858f3b9490cd0c6d7db05ef6e9f5bde9c9a6d90e93",
-      "bytes": 98721,
-      "rows": 28,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000720-0000-9d896f91a4fb373f.parquet",
-      "sha256": "9d896f91a4fb373fbe95a8dad69910bbef770d5808717082b4ae46a6928f1d5b",
-      "bytes": 46490,
-      "rows": 8,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000720-0000-f847031c1826c0fb.parquet",
-      "sha256": "f847031c1826c0fbabe95b9ef037a31697dddb26f30f44b62f0c4c91640594c6",
-      "bytes": 22834,
-      "rows": 1,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33380",
     "goedel_workbook:lean_workbook_plus_33390",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018021.lean\",\"7b1197d63c2d19ed7ad0f41b566fd03d520b7037861ea2aeeddeb354812f39d2\",0,\"lean_workbook_plus_33467\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018023.lean\",\"f93fa056a758420df6e5a124fa1fe0fa70ad016e7eaf44fac45bb5aec2c6eb8b\",0,\"lean_workbook_plus_33479\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018024.lean\",\"c5df2cd223e96e757a5f525866ba29ccae9b8cdffa192b1f893fac52944ea149\",0,\"lean_workbook_plus_33486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98721,
+      "path": "data/train/pf0/goedel_workbook-000720-0000-aad89bffbc4de5d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "aad89bffbc4de5d7f046a3858f3b9490cd0c6d7db05ef6e9f5bde9c9a6d90e93"
+    },
+    {
+      "bytes": 46490,
+      "path": "data/dev/pf0/goedel_workbook-000720-0000-9d896f91a4fb373f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9d896f91a4fb373fbe95a8dad69910bbef770d5808717082b4ae46a6928f1d5b"
+    },
+    {
+      "bytes": 22834,
+      "path": "data/internal_test/pf0/goedel_workbook-000720-0000-f847031c1826c0fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f847031c1826c0fbabe95b9ef037a31697dddb26f30f44b62f0c4c91640594c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000721.json b/manifests/batches/goedel_workbook/000721.json
index 804df0ff98646104fd8ea13157eaa80d50c88fe0..566883073425c5d18ce8c9054e8c86dbf1e7e448 100644
--- a/manifests/batches/goedel_workbook/000721.json
+++ b/manifests/batches/goedel_workbook/000721.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000721",
   "batch_fingerprint": "4f9b79fe10c39dd0683b70bd21008add3e05f266ed7a6cfe96a8702ef378ed2d",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000721-0000-b32989918e4cb51f.parquet",
-      "sha256": "b32989918e4cb51ffe259039604cd3327098bfdb033a91633cb4c909fe66eed2",
-      "bytes": 207830,
-      "rows": 39,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000721-0000-236cf6d9970dfe80.parquet",
-      "sha256": "236cf6d9970dfe80bd31dd7deec3e1b6fad33462d89adee944652b9b424e21c0",
-      "bytes": 33497,
-      "rows": 1,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000721-0000-3b7dece37f48d3c1.parquet",
-      "sha256": "3b7dece37f48d3c1c51b4e0e54fc2e06a183abb0cfc6b850d0be5cdf1faf182c",
-      "bytes": 29187,
-      "rows": 2,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33491",
     "goedel_workbook:lean_workbook_plus_33494",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018046.lean\",\"bef70cfc57bc44e1520d40bbe25afacddf7c567736e76b0660a1cd83fd8d68da\",0,\"lean_workbook_plus_33563\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018048.lean\",\"310402296fae86045afc07ef7867ae134b84aab798371279053984e9bc1fec3b\",0,\"lean_workbook_plus_33575\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018049.lean\",\"cecd7c3fdb55374c44698b60ce87353072f5124bde094226860ce0c6f24a24b2\",0,\"lean_workbook_plus_33576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207830,
+      "path": "data/train/p2f/goedel_workbook-000721-0000-b32989918e4cb51f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "b32989918e4cb51ffe259039604cd3327098bfdb033a91633cb4c909fe66eed2"
+    },
+    {
+      "bytes": 33497,
+      "path": "data/dev/p2f/goedel_workbook-000721-0000-236cf6d9970dfe80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "236cf6d9970dfe80bd31dd7deec3e1b6fad33462d89adee944652b9b424e21c0"
+    },
+    {
+      "bytes": 29187,
+      "path": "data/internal_test/p2f/goedel_workbook-000721-0000-3b7dece37f48d3c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3b7dece37f48d3c1c51b4e0e54fc2e06a183abb0cfc6b850d0be5cdf1faf182c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000722.json b/manifests/batches/goedel_workbook/000722.json
index 0a6d9e7d4e2e04472c65ff2e65bb53c1c5371a34..844b017d1a87bc0b54ad50afe6b34d936f5dd63c 100644
--- a/manifests/batches/goedel_workbook/000722.json
+++ b/manifests/batches/goedel_workbook/000722.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000722",
   "batch_fingerprint": "9b80cc7dba8879c024db08ca71b47a8b7139a8acc59cda99b4d6ed8e88918a83",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000722-0000-b97c8ab67896d1c4.parquet",
-      "sha256": "b97c8ab67896d1c4dd812839e9cfeace6b0387f6f5ab46c1a72d9ea4728609d5",
-      "bytes": 213287,
-      "rows": 37,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000722-0000-c65d7b99cac57b13.parquet",
-      "sha256": "c65d7b99cac57b1352bca0a2124aff2c787bb8c5c35f186014409f1aad0d26c2",
-      "bytes": 22950,
-      "rows": 1,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33582",
     "goedel_workbook:lean_workbook_plus_33583",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018072.lean\",\"8b4eb7d88584256e0d45aebb71ce351987ec987fe31843d3529d6b4420ab63d3\",0,\"lean_workbook_plus_33698\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018073.lean\",\"07e782938ad91c8c39e320ae99223aa643897e61feeb041192bd908d18afc240\",0,\"lean_workbook_plus_3370\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018074.lean\",\"a7abe3bde199e68a170a59030a80ff817b480f2cc6d4f29e9485fda2b1656809\",0,\"lean_workbook_plus_33705\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213287,
+      "path": "data/train/p26/goedel_workbook-000722-0000-b97c8ab67896d1c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "b97c8ab67896d1c4dd812839e9cfeace6b0387f6f5ab46c1a72d9ea4728609d5"
+    },
+    {
+      "bytes": 22950,
+      "path": "data/dev/p26/goedel_workbook-000722-0000-c65d7b99cac57b13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c65d7b99cac57b1352bca0a2124aff2c787bb8c5c35f186014409f1aad0d26c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000723.json b/manifests/batches/goedel_workbook/000723.json
index 68daec9002e52ff9706afadb90fb476b82339a87..93ff47bb3530fdc03e07793c61b5b64ccbea7a54 100644
--- a/manifests/batches/goedel_workbook/000723.json
+++ b/manifests/batches/goedel_workbook/000723.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000723",
   "batch_fingerprint": "05a5486098ce9193a70395d6d9c1160f3b50c73de14ad24a9343d62fab831e34",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000723-0000-89b5fa4438b3b898.parquet",
-      "sha256": "89b5fa4438b3b8981e22f7526e92ee8a3c1c061e213e9797b8101ed993b60cad",
-      "bytes": 214659,
-      "rows": 67,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000723-0000-a0e98f1d4bdd2791.parquet",
-      "sha256": "a0e98f1d4bdd279185e1fb1735b9ec95b417ceb79adfc581b71b810b1859c507",
-      "bytes": 46533,
-      "rows": 5,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33707",
     "goedel_workbook:lean_workbook_plus_33712",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018097.lean\",\"3282d3829e6ce1c72633b2bb4584d83b6803d3866497a595de41639390d73c80\",0,\"lean_workbook_plus_33784\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018098.lean\",\"c05e01a4d2080a5cc43888458713104804cbb35e1602619bb3a2d0aa5ea84f39\",0,\"lean_workbook_plus_33786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018099.lean\",\"802c973acd32c51a6d989076a1d6ded250b6642c6944ef7ca5c0c1c97b8e2c08\",0,\"lean_workbook_plus_3379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214659,
+      "path": "data/train/pb2/goedel_workbook-000723-0000-89b5fa4438b3b898.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "89b5fa4438b3b8981e22f7526e92ee8a3c1c061e213e9797b8101ed993b60cad"
+    },
+    {
+      "bytes": 46533,
+      "path": "data/dev/pb2/goedel_workbook-000723-0000-a0e98f1d4bdd2791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a0e98f1d4bdd279185e1fb1735b9ec95b417ceb79adfc581b71b810b1859c507"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000724.json b/manifests/batches/goedel_workbook/000724.json
index ba4f42568029d38d0b03c7b630b13b693dc665f4..ace3050d05ff19c21c754f43a4e01d6d68359d13 100644
--- a/manifests/batches/goedel_workbook/000724.json
+++ b/manifests/batches/goedel_workbook/000724.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000724",
   "batch_fingerprint": "15a69ed6ebf0865b2494d2bf2be1d63fc21a7618a9eb00d8efb485ac26168d81",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000724-0000-bfe5ced893541156.parquet",
-      "sha256": "bfe5ced8935411560fb188297254ac6d69abf5972d98fd3c98573380833c3aea",
-      "bytes": 196099,
-      "rows": 48,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000724-0000-7e945663998133be.parquet",
-      "sha256": "7e945663998133be700ca2a8a2759b93e220bcef5ea786f742fabba68b228996",
-      "bytes": 61935,
-      "rows": 3,
-      "revision": "50733b3f9408f65af887b02195edeb270b7e73f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3380",
     "goedel_workbook:lean_workbook_plus_33806",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018119.lean\",\"f2fa9c03d6c14ed809b64d114b995b65083e7e9f8c7efb2235323e4c5f25f6e3\",0,\"lean_workbook_plus_33870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018122.lean\",\"190252f7c960f3ac083353be85c4cbdfd64edf12b6886d21f0104c81527aacff\",0,\"lean_workbook_plus_33881\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018123.lean\",\"038d796d14a147d65aeed93d8953c9fda35c63ab5ec3ff572285f5844f290ffa\",0,\"lean_workbook_plus_33883\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196099,
+      "path": "data/train/p97/goedel_workbook-000724-0000-bfe5ced893541156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "bfe5ced8935411560fb188297254ac6d69abf5972d98fd3c98573380833c3aea"
+    },
+    {
+      "bytes": 61935,
+      "path": "data/internal_test/p97/goedel_workbook-000724-0000-7e945663998133be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7e945663998133be700ca2a8a2759b93e220bcef5ea786f742fabba68b228996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000725.json b/manifests/batches/goedel_workbook/000725.json
index 659d2240d08f66615c3b234132709184775a6bea..fe320e5271eb03f26f525977e584ca1395981664 100644
--- a/manifests/batches/goedel_workbook/000725.json
+++ b/manifests/batches/goedel_workbook/000725.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000725",
   "batch_fingerprint": "0a9fc3949311fe7f25a1e40afa9db82dbfcacf6e6167893bcc01ad94875f95ae",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000725-0000-58204fd294a2fb72.parquet",
-      "sha256": "58204fd294a2fb727554b9cb369c0683075321a13ccb522e0f243eb475b51060",
-      "bytes": 94532,
-      "rows": 26,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000725-0000-693eb6b7437cdd0d.parquet",
-      "sha256": "693eb6b7437cdd0dfe339fb279d70a98b03b08a12c3f7284e700eedd4ec88d1e",
-      "bytes": 81585,
-      "rows": 16,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_33909",
     "goedel_workbook:lean_workbook_plus_33919",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018147.lean\",\"53e4c25318d6a21fd1fe3a15c63981ee63c37289e69c479a936d5db52913a3db\",0,\"lean_workbook_plus_34018\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018148.lean\",\"58c8f5192239b6b3400eab68cb62fc52cf1b35c544b6ba57c92e61f3f81ae888\",0,\"lean_workbook_plus_34026\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018149.lean\",\"655cd50c7dbaab96fc629279b85e243132bb8899cab06cbab7fdc10dce63a8f5\",0,\"lean_workbook_plus_34029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94532,
+      "path": "data/train/p8d/goedel_workbook-000725-0000-58204fd294a2fb72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "58204fd294a2fb727554b9cb369c0683075321a13ccb522e0f243eb475b51060"
+    },
+    {
+      "bytes": 81585,
+      "path": "data/dev/p8d/goedel_workbook-000725-0000-693eb6b7437cdd0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "693eb6b7437cdd0dfe339fb279d70a98b03b08a12c3f7284e700eedd4ec88d1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000726.json b/manifests/batches/goedel_workbook/000726.json
index 8a5a3ed1150ec1a8548ebb8738fba36dbbad9136..3b483246416ea1d78f1071e40663c59a2097854e 100644
--- a/manifests/batches/goedel_workbook/000726.json
+++ b/manifests/batches/goedel_workbook/000726.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000726",
   "batch_fingerprint": "956a8ecc933af9bf08bad77ea172495f077616152012da90ec7da1d86015ab3a",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000726-0000-6d7e141d7a22511f.parquet",
-      "sha256": "6d7e141d7a22511ff84066f6b719143f567692f900a585d7c48f2a0b25008f28",
-      "bytes": 173248,
-      "rows": 45,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000726-0000-1f1097e34af301e7.parquet",
-      "sha256": "1f1097e34af301e738c41ec3526de6bcd2df0db8b1af906d3644d9136bf1ef4b",
-      "bytes": 35045,
-      "rows": 3,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000726-0000-29f8d136382e27ff.parquet",
-      "sha256": "29f8d136382e27ff01afa79ad8afd2db9d389880c5885897e3c414d83cb78ed8",
-      "bytes": 46888,
-      "rows": 2,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34031",
     "goedel_workbook:lean_workbook_plus_34036",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018171.lean\",\"e78e2ca3df2857a6a3cc84b6c4e3e73160236e9f908a94fc5722e9e0996b2fb6\",0,\"lean_workbook_plus_34118\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018172.lean\",\"2f6b77c055948e19c9de998978cd05e4de57bad4f2e541476ef3d3e8e33d0abd\",0,\"lean_workbook_plus_34119\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018174.lean\",\"ea4c3b55c0e3e07818e74197ba32df45228d2db63a0dd56ce1c083dd06094cfa\",0,\"lean_workbook_plus_3413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173248,
+      "path": "data/train/pc6/goedel_workbook-000726-0000-6d7e141d7a22511f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "6d7e141d7a22511ff84066f6b719143f567692f900a585d7c48f2a0b25008f28"
+    },
+    {
+      "bytes": 35045,
+      "path": "data/dev/pc6/goedel_workbook-000726-0000-1f1097e34af301e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1f1097e34af301e738c41ec3526de6bcd2df0db8b1af906d3644d9136bf1ef4b"
+    },
+    {
+      "bytes": 46888,
+      "path": "data/internal_test/pc6/goedel_workbook-000726-0000-29f8d136382e27ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29f8d136382e27ff01afa79ad8afd2db9d389880c5885897e3c414d83cb78ed8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000727.json b/manifests/batches/goedel_workbook/000727.json
index e091f60bf0ac4cd2c3bb3cd70926d807f139b30b..6b623b9918e0f1c994dcd24de9e5294c701f1ead 100644
--- a/manifests/batches/goedel_workbook/000727.json
+++ b/manifests/batches/goedel_workbook/000727.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000727",
   "batch_fingerprint": "2631e13b83f71f8a1d0385f4768af960015160db4a68dbe70c05477105ac009c",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000727-0000-f2f092a9089855f5.parquet",
-      "sha256": "f2f092a9089855f59d62599fb82896b63c71f4bc731a36b126b19b4cdb318587",
-      "bytes": 169591,
-      "rows": 44,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000727-0000-945873eb081feba3.parquet",
-      "sha256": "945873eb081feba3512c641a6c0cb8b1a75f823b3c38213f7f749c83bd5f1f91",
-      "bytes": 60751,
-      "rows": 11,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34130",
     "goedel_workbook:lean_workbook_plus_34137",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018194.lean\",\"339e515aeba285ab2a44d0bb612fe133b8cd324f1ef94607f701a8c39cf7a5d8\",0,\"lean_workbook_plus_34205\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018195.lean\",\"ef8f8a893490f363ad2b3bff262c923d73b92d768809de3d93a6fcc3b62a5033\",0,\"lean_workbook_plus_34208\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018197.lean\",\"8be67d3f0656b2e435d11037e072624d2bc4eed9117d12d8468fbcc864a86d53\",0,\"lean_workbook_plus_34219\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169591,
+      "path": "data/train/pd3/goedel_workbook-000727-0000-f2f092a9089855f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "f2f092a9089855f59d62599fb82896b63c71f4bc731a36b126b19b4cdb318587"
+    },
+    {
+      "bytes": 60751,
+      "path": "data/internal_test/pd3/goedel_workbook-000727-0000-945873eb081feba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "945873eb081feba3512c641a6c0cb8b1a75f823b3c38213f7f749c83bd5f1f91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000728.json b/manifests/batches/goedel_workbook/000728.json
index 9ba5d19397ad05d6b52aa2f1f859c647b68dbea1..d8fb0c48106c1495152dc3aed27a6ce00b0ef5d4 100644
--- a/manifests/batches/goedel_workbook/000728.json
+++ b/manifests/batches/goedel_workbook/000728.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000728",
   "batch_fingerprint": "0f6c31900646ab7de06a0b2deaca84f421762ffb02c5dc5556337032fd4d8aa9",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000728-0000-e6823b0c65524db1.parquet",
-      "sha256": "e6823b0c65524db19145810e188fa34ee515f966d0be932c1289fcb008992205",
-      "bytes": 169349,
-      "rows": 36,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000728-0000-e05573b5f5be04c0.parquet",
-      "sha256": "e05573b5f5be04c0179dfb7e28802e63fba1d311996f05d8f0dfcc8a498cbfda",
-      "bytes": 43396,
-      "rows": 5,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34235",
     "goedel_workbook:lean_workbook_plus_34238",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018220.lean\",\"e34db2221a34637c4eccb2f1fb2c035fcd49ca103a046beec2aa5d2d49fb4986\",0,\"lean_workbook_plus_34309\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018222.lean\",\"a2a8211a918981dc23814f4ba4493572d58f1a3ba30eb2b1f22db5cc2589cb45\",0,\"lean_workbook_plus_3432\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018223.lean\",\"3c08d014cf1ca7ffd4f143e76303f4b6f4d56a8f1485ad503cbda601e31d732d\",0,\"lean_workbook_plus_34323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169349,
+      "path": "data/train/pda/goedel_workbook-000728-0000-e6823b0c65524db1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "e6823b0c65524db19145810e188fa34ee515f966d0be932c1289fcb008992205"
+    },
+    {
+      "bytes": 43396,
+      "path": "data/dev/pda/goedel_workbook-000728-0000-e05573b5f5be04c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e05573b5f5be04c0179dfb7e28802e63fba1d311996f05d8f0dfcc8a498cbfda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000729.json b/manifests/batches/goedel_workbook/000729.json
index bb0c120e4042393aebb26a300300767ca3212030..0a11e2df164ceb012014a2df979abff795c2d8ae 100644
--- a/manifests/batches/goedel_workbook/000729.json
+++ b/manifests/batches/goedel_workbook/000729.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000729",
   "batch_fingerprint": "895eff509583f1f38e5504e7d74a7b8d0d7467dd9f0d58d184b411ef4bd8a595",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000729-0000-ce6a3d2ea98d8589.parquet",
-      "sha256": "ce6a3d2ea98d858903144631b69297af377845cc1ff33d54138069e4b7507064",
-      "bytes": 195248,
-      "rows": 47,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000729-0000-01976696ce3bb692.parquet",
-      "sha256": "01976696ce3bb6922818c4bf22db5a8ccaed3bce9908028312c277673c3247dc",
-      "bytes": 76969,
-      "rows": 15,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000729-0000-a34df37e31dc03d3.parquet",
-      "sha256": "a34df37e31dc03d3130570e12c243bdf01d894093d4a48ab56bec368d77ceab3",
-      "bytes": 36749,
-      "rows": 2,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34334",
     "goedel_workbook:lean_workbook_plus_34341",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018247.lean\",\"482bc036dd216b05ed5b08ec0744ed4c86de192f2412fcfd5a26171260b2d87c\",0,\"lean_workbook_plus_34473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018248.lean\",\"83d2c6981e27b28280d538f93f6fcfe68dc0fdaaad1bebf22c89294a92eb9c23\",0,\"lean_workbook_plus_34475\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018249.lean\",\"6bbd6832f2dcee29f5cb1b74c954c7a709620c965ad1e4bf12ae14ba9c51aa00\",0,\"lean_workbook_plus_34476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195248,
+      "path": "data/train/p80/goedel_workbook-000729-0000-ce6a3d2ea98d8589.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "ce6a3d2ea98d858903144631b69297af377845cc1ff33d54138069e4b7507064"
+    },
+    {
+      "bytes": 76969,
+      "path": "data/dev/p80/goedel_workbook-000729-0000-01976696ce3bb692.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "01976696ce3bb6922818c4bf22db5a8ccaed3bce9908028312c277673c3247dc"
+    },
+    {
+      "bytes": 36749,
+      "path": "data/internal_test/p80/goedel_workbook-000729-0000-a34df37e31dc03d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a34df37e31dc03d3130570e12c243bdf01d894093d4a48ab56bec368d77ceab3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000730.json b/manifests/batches/goedel_workbook/000730.json
index bfa3883ea60d8e5d83fded1ec5d31be2050e8c63..d81604ec93f72dff2a1fdf45079612b2b20770cc 100644
--- a/manifests/batches/goedel_workbook/000730.json
+++ b/manifests/batches/goedel_workbook/000730.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000730",
   "batch_fingerprint": "27dd59f6c1ccb03a193b0c291bcc269e83ed9a1d76c9779d63e13e96c291477a",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000730-0000-caf62fbce8cae678.parquet",
-      "sha256": "caf62fbce8cae678841805f4305c74da201306de8051d288932c1e9a5f4fd8ff",
-      "bytes": 144954,
-      "rows": 39,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000730-0000-0769235e5502ef99.parquet",
-      "sha256": "0769235e5502ef99693649b14bb046e357fb77180b6261e7d0fda390623784af",
-      "bytes": 34806,
-      "rows": 1,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34482",
     "goedel_workbook:lean_workbook_plus_34483",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018272.lean\",\"89b52a0e711c1a1e5a9029dfc257d41406ee699de9ed3bc067b2ca0671941c62\",0,\"lean_workbook_plus_34539\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018273.lean\",\"4055d7a29e35f53b0a4bb960f142460713059d3a0d68b7c5f0abd81c8ae07bb5\",0,\"lean_workbook_plus_3454\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018274.lean\",\"30c7b8eea60b3cd9ffab6142e313a496fea050211da4b73d3e3ae2ba20e27eba\",0,\"lean_workbook_plus_34540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144954,
+      "path": "data/train/p8a/goedel_workbook-000730-0000-caf62fbce8cae678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "caf62fbce8cae678841805f4305c74da201306de8051d288932c1e9a5f4fd8ff"
+    },
+    {
+      "bytes": 34806,
+      "path": "data/internal_test/p8a/goedel_workbook-000730-0000-0769235e5502ef99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0769235e5502ef99693649b14bb046e357fb77180b6261e7d0fda390623784af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000731.json b/manifests/batches/goedel_workbook/000731.json
index ab3e41638910b1ef1f5a02cac1edbc7c13db426c..a142b3d86dbe645a08ed2e6c7a598d09146c4531 100644
--- a/manifests/batches/goedel_workbook/000731.json
+++ b/manifests/batches/goedel_workbook/000731.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000731",
   "batch_fingerprint": "1704e9a27ebc045f35bbc0a7cffd6129f7b9fcd35700e903394e02fb678d8b7b",
   "evidence": {
@@ -91,15 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000731-0000-195550fcecea62ea.parquet",
-      "sha256": "195550fcecea62ea996580717900780857206c3462c1d97cc259169e48a64d79",
-      "bytes": 186905,
-      "rows": 51,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34548",
     "goedel_workbook:lean_workbook_plus_34560",
@@ -145,5 +136,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018297.lean\",\"af33254f346a8e74d5d8b6a71a377e8ea59867c55df76a43d8ffa942b075a29c\",0,\"lean_workbook_plus_34646\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018298.lean\",\"bc5535dfc2fa82ca0a04030a2f139e3ac8cdab597be68e9b341bc1c6c85a1b39\",0,\"lean_workbook_plus_34647\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018299.lean\",\"fb577df0c2d525d7dae1de0bdb4d810487aff915d99d3afe1589212fdbca83a8\",0,\"lean_workbook_plus_34658\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186905,
+      "path": "data/train/p82/goedel_workbook-000731-0000-195550fcecea62ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "195550fcecea62ea996580717900780857206c3462c1d97cc259169e48a64d79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000732.json b/manifests/batches/goedel_workbook/000732.json
index c37a43beea87a672ae1a0850a3a5a43168b22a06..1ebb619590529125e86c7e9de4d15e0259b8b64f 100644
--- a/manifests/batches/goedel_workbook/000732.json
+++ b/manifests/batches/goedel_workbook/000732.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000732",
   "batch_fingerprint": "9ed65f628250033bbca3cc1a49e94e479cb14c371cd67bbaf9bc48aa1dbdc023",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000732-0000-37aa4a902c437574.parquet",
-      "sha256": "37aa4a902c4375741f97a3425b417b795b30a005a9f5d67ce4c78e51c883950d",
-      "bytes": 177413,
-      "rows": 37,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000732-0000-38cb866a23c2199d.parquet",
-      "sha256": "38cb866a23c2199d1d4a07461f854733c0fabadd285562424ebb51f193127e85",
-      "bytes": 53418,
-      "rows": 9,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34668",
     "goedel_workbook:lean_workbook_plus_3467",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018319.lean\",\"9d9a93fb8af97942401515fe3d969be91976a7f5f5acd3501127772dd7e1b00e\",0,\"lean_workbook_plus_34718\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018323.lean\",\"35601556d1345d8c416de88ec9889ec0ce88ac0c83a00be9fe7ef43f0ccd9965\",0,\"lean_workbook_plus_34746\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018324.lean\",\"60cc84c517002c9de9706f40e1c1b22c96f0bcb590931744d60f6a4374d4a877\",0,\"lean_workbook_plus_34754\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177413,
+      "path": "data/train/p96/goedel_workbook-000732-0000-37aa4a902c437574.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "37aa4a902c4375741f97a3425b417b795b30a005a9f5d67ce4c78e51c883950d"
+    },
+    {
+      "bytes": 53418,
+      "path": "data/internal_test/p96/goedel_workbook-000732-0000-38cb866a23c2199d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "38cb866a23c2199d1d4a07461f854733c0fabadd285562424ebb51f193127e85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000733.json b/manifests/batches/goedel_workbook/000733.json
index 45e5f3e730c5ca6ae9ae3af18f9ad01cdb975b04..9df957428eebe6edb8a4a5cdb06ef3a4acb67c65 100644
--- a/manifests/batches/goedel_workbook/000733.json
+++ b/manifests/batches/goedel_workbook/000733.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000733",
   "batch_fingerprint": "08f8eaf038088be2b17bd32a5b78e94e46cafc3feedfb31842f50691692d3574",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000733-0000-60b0666b175178ef.parquet",
-      "sha256": "60b0666b175178ef4f8ef957fc4ba7b8ed0eca4acb51f933d29c554666c29592",
-      "bytes": 105412,
-      "rows": 32,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000733-0000-8ac8c15d252793b1.parquet",
-      "sha256": "8ac8c15d252793b1cc1a03ef070dfe769377a21bddf1f980d6c61a2ea8411963",
-      "bytes": 37126,
-      "rows": 2,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000733-0000-75fe17742c226745.parquet",
-      "sha256": "75fe17742c226745e286ca1439cb5963db429a42ffc12d5134d4cfa62dabd53a",
-      "bytes": 42804,
-      "rows": 3,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34755",
     "goedel_workbook:lean_workbook_plus_34765",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018344.lean\",\"c88cbb71fa306d4ac3a2d733451c45f26a5d1c0cbaf4ec90e308b8f1870ee11a\",0,\"lean_workbook_plus_34848\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018348.lean\",\"4501131d1b8bccea4f88b62dcbcdd4cf4608392deadffab3c2929215af8b9b36\",0,\"lean_workbook_plus_34867\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018349.lean\",\"00f2bc37ad4da72470b8a0ab7388c81f419304b99e113d38cd904fcf979addad\",0,\"lean_workbook_plus_34870\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105412,
+      "path": "data/train/pc0/goedel_workbook-000733-0000-60b0666b175178ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "60b0666b175178ef4f8ef957fc4ba7b8ed0eca4acb51f933d29c554666c29592"
+    },
+    {
+      "bytes": 37126,
+      "path": "data/dev/pc0/goedel_workbook-000733-0000-8ac8c15d252793b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8ac8c15d252793b1cc1a03ef070dfe769377a21bddf1f980d6c61a2ea8411963"
+    },
+    {
+      "bytes": 42804,
+      "path": "data/internal_test/pc0/goedel_workbook-000733-0000-75fe17742c226745.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "75fe17742c226745e286ca1439cb5963db429a42ffc12d5134d4cfa62dabd53a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000734.json b/manifests/batches/goedel_workbook/000734.json
index 7cf0b8f229bff9811572af1f7d92870850f88048..7f21d0368f1973e4db2985cfc71f8a90a9370cbb 100644
--- a/manifests/batches/goedel_workbook/000734.json
+++ b/manifests/batches/goedel_workbook/000734.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000734",
   "batch_fingerprint": "7d872d9b210dfc5912da9c14231b028808293bdb736442e13b238782f29ba707",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000734-0000-11fa2c17bcdce091.parquet",
-      "sha256": "11fa2c17bcdce091428f1f1b6f4eee658e55d388ac8460a0b6f45315e4eb5ab4",
-      "bytes": 210662,
-      "rows": 43,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000734-0000-f9829c034fcc7cf5.parquet",
-      "sha256": "f9829c034fcc7cf568af83ce7c3f2c68242fbc9788537579c35ae29856bb462f",
-      "bytes": 40383,
-      "rows": 3,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000734-0000-8768ddbbab7dfc36.parquet",
-      "sha256": "8768ddbbab7dfc3621073ee81717da54caf3efbb60c26b530cb266d211bd8b28",
-      "bytes": 48286,
-      "rows": 8,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34872",
     "goedel_workbook:lean_workbook_plus_34873",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018371.lean\",\"8d46fd1a744ec1ff6278a16ecde3f31c78432bf5ff8a83f32db5eb1315f90ac5\",0,\"lean_workbook_plus_34941\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018372.lean\",\"17490baba8af12d469c31045ed4785dfe9bf983fd7bb18b7310b8534bc4cbedd\",0,\"lean_workbook_plus_34948\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018374.lean\",\"2fd30a677d10767545b449948f2645b117bc9f5acc63a0340589d846f1251f3c\",0,\"lean_workbook_plus_34950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210662,
+      "path": "data/train/p4e/goedel_workbook-000734-0000-11fa2c17bcdce091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "11fa2c17bcdce091428f1f1b6f4eee658e55d388ac8460a0b6f45315e4eb5ab4"
+    },
+    {
+      "bytes": 40383,
+      "path": "data/dev/p4e/goedel_workbook-000734-0000-f9829c034fcc7cf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f9829c034fcc7cf568af83ce7c3f2c68242fbc9788537579c35ae29856bb462f"
+    },
+    {
+      "bytes": 48286,
+      "path": "data/internal_test/p4e/goedel_workbook-000734-0000-8768ddbbab7dfc36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8768ddbbab7dfc3621073ee81717da54caf3efbb60c26b530cb266d211bd8b28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000735.json b/manifests/batches/goedel_workbook/000735.json
index d715c7bffd7a7667ba09efd9f3babc47f23bceb0..d3e072bb2c12f2770364b6fe6ddafb884ce81e92 100644
--- a/manifests/batches/goedel_workbook/000735.json
+++ b/manifests/batches/goedel_workbook/000735.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000735",
   "batch_fingerprint": "828a4e37df2f5e969b565c8d1794a7b4991ec193cf5487c1e5a740489785760c",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000735-0000-4778559ac2bcd004.parquet",
-      "sha256": "4778559ac2bcd00464accc43dd8ce8bde7f4a9f5b1e1de7f53159c26f137f91b",
-      "bytes": 116522,
-      "rows": 32,
-      "revision": "76a8964357a23fd0f76e91dbe67136b482db3375"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000735-0000-eb9522559d63e9f5.parquet",
-      "sha256": "eb9522559d63e9f591b1921c2e6bcdc9fd82e36a6dd67e204d47848e539e67a2",
-      "bytes": 38886,
-      "rows": 3,
-      "revision": "76a8964357a23fd0f76e91dbe67136b482db3375"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_34966",
     "goedel_workbook:lean_workbook_plus_3497",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018390.lean\",\"edb3ee71e1761cfbb5b3f8a38417973ae461e059a670042ce3dcc2eec3207a83\",0,\"lean_workbook_plus_35015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018391.lean\",\"0cfe8a9c18fc629b3c10fee583976aef94da66ddaf08e4605479be95c64c58ef\",0,\"lean_workbook_plus_35020\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018392.lean\",\"ead7a0801e3ed86ac3cec7ae161f19dce881bd1238b38d696a0b0dfb5b7d9ff1\",0,\"lean_workbook_plus_35030\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116522,
+      "path": "data/train/p11/goedel_workbook-000735-0000-4778559ac2bcd004.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "4778559ac2bcd00464accc43dd8ce8bde7f4a9f5b1e1de7f53159c26f137f91b"
+    },
+    {
+      "bytes": 38886,
+      "path": "data/dev/p11/goedel_workbook-000735-0000-eb9522559d63e9f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eb9522559d63e9f591b1921c2e6bcdc9fd82e36a6dd67e204d47848e539e67a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000736.json b/manifests/batches/goedel_workbook/000736.json
index 57e7acf86a5623d266c8917cf1dd136c1de3b503..5c8b2e94676fd0bfab4c5c904abe6e29094a296d 100644
--- a/manifests/batches/goedel_workbook/000736.json
+++ b/manifests/batches/goedel_workbook/000736.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000736",
   "batch_fingerprint": "e547d81d9216f07a80b7c200d0b6d41f3f3aea44093c1c2b3c9a98cdf974d8d8",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000736-0000-94c720206b5df66a.parquet",
-      "sha256": "94c720206b5df66a19332aaba7358dff2dc8d7e53180c99c3d7b1605f8c45b91",
-      "bytes": 157600,
-      "rows": 41,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000736-0000-186d7c56110d3c84.parquet",
-      "sha256": "186d7c56110d3c846e2be245addcc5cc925c93f6526b80f38a4f785b9cb36384",
-      "bytes": 36995,
-      "rows": 2,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35078",
     "goedel_workbook:lean_workbook_plus_35095",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018419.lean\",\"6b415f7f8c4a858f49ae58de38617af66d7cc8fac926ed1a16b148315bdb523d\",0,\"lean_workbook_plus_35160\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018421.lean\",\"d3b4b38f0f1b2769120a915eb72d68dd1d17be6a1ef7ceb54c08f858b7d2e951\",0,\"lean_workbook_plus_35162\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018423.lean\",\"432421857fe936757233be89cee6bd2af27329deacb95051d4215a4f7e55b877\",0,\"lean_workbook_plus_35184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157600,
+      "path": "data/train/pf3/goedel_workbook-000736-0000-94c720206b5df66a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "94c720206b5df66a19332aaba7358dff2dc8d7e53180c99c3d7b1605f8c45b91"
+    },
+    {
+      "bytes": 36995,
+      "path": "data/internal_test/pf3/goedel_workbook-000736-0000-186d7c56110d3c84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "186d7c56110d3c846e2be245addcc5cc925c93f6526b80f38a4f785b9cb36384"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000737.json b/manifests/batches/goedel_workbook/000737.json
index cf00dd7b5cd9a0a9393651b35313534025792a8a..c41981b63a1f70f6cceafff7bc46e755b8c9b41c 100644
--- a/manifests/batches/goedel_workbook/000737.json
+++ b/manifests/batches/goedel_workbook/000737.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000737",
   "batch_fingerprint": "d93e2e1b2633ba6caefff1cd83425afe6235f68371a18dcd7af58d06b8a537e9",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000737-0000-106d755085734d3f.parquet",
-      "sha256": "106d755085734d3f378a16eee38ff39070274f0d1b26d49f16b27d6621c704b4",
-      "bytes": 80901,
-      "rows": 20,
-      "revision": "76a8964357a23fd0f76e91dbe67136b482db3375"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000737-0000-5c3e4584b0e0872b.parquet",
-      "sha256": "5c3e4584b0e0872b2981ddc1fe277a41e91e37cae6e27910bad8c1b178b7cdf2",
-      "bytes": 52589,
-      "rows": 7,
-      "revision": "76a8964357a23fd0f76e91dbe67136b482db3375"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35207",
     "goedel_workbook:lean_workbook_plus_35219",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018445.lean\",\"3770fe976c28db49c8f8a1671b2a356ea7b1bccf2d15f8782e5dc530c5f27774\",0,\"lean_workbook_plus_353\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018446.lean\",\"6c000fda76ca20b8c3fc485323e19eaaa0ece91d7a7b4b8440b09e34b64eefd5\",0,\"lean_workbook_plus_3530\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018449.lean\",\"476705b8838b4932eb744b0116a3ab0a7e23bd1388275d6e9af61556dafc268d\",0,\"lean_workbook_plus_35325\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80901,
+      "path": "data/train/p1c/goedel_workbook-000737-0000-106d755085734d3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "106d755085734d3f378a16eee38ff39070274f0d1b26d49f16b27d6621c704b4"
+    },
+    {
+      "bytes": 52589,
+      "path": "data/internal_test/p1c/goedel_workbook-000737-0000-5c3e4584b0e0872b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5c3e4584b0e0872b2981ddc1fe277a41e91e37cae6e27910bad8c1b178b7cdf2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000738.json b/manifests/batches/goedel_workbook/000738.json
index c60fee1863e50f414abfa16ba03a368e03dd4ac6..616ca5fc532cca30aaf2ab7c73e29ee5347663ae 100644
--- a/manifests/batches/goedel_workbook/000738.json
+++ b/manifests/batches/goedel_workbook/000738.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000738",
   "batch_fingerprint": "678b1010d7bedbfd82f945c29e9c79fb8d1de44782f9b0016a73de7eee09480a",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000738-0000-6540f7159e10bcc8.parquet",
-      "sha256": "6540f7159e10bcc88783c930b5f582174948e36550d5b17d769ca72d0587044e",
-      "bytes": 152833,
-      "rows": 35,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000738-0000-ec56829d0de9e61a.parquet",
-      "sha256": "ec56829d0de9e61aa82e3fab0dd7f13c2a9247965fb00bd5b791c1e40f065adb",
-      "bytes": 33079,
-      "rows": 1,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35326",
     "goedel_workbook:lean_workbook_plus_35330",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018471.lean\",\"aed58cd9f01e33dab110447b82efbdc98371f9241b24b45a75865fb096a7c0d6\",0,\"lean_workbook_plus_35447\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018472.lean\",\"c2b36b54f5a5cc20e7166bf7e8f842f46f7b192665017e85f4e25279eaa25abd\",0,\"lean_workbook_plus_35460\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018474.lean\",\"1b44d33cd93e9706da9c29a0d598fbaee711aeb112b6c0792883eb55746d517d\",0,\"lean_workbook_plus_3547\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152833,
+      "path": "data/train/pfa/goedel_workbook-000738-0000-6540f7159e10bcc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "6540f7159e10bcc88783c930b5f582174948e36550d5b17d769ca72d0587044e"
+    },
+    {
+      "bytes": 33079,
+      "path": "data/internal_test/pfa/goedel_workbook-000738-0000-ec56829d0de9e61a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ec56829d0de9e61aa82e3fab0dd7f13c2a9247965fb00bd5b791c1e40f065adb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000739.json b/manifests/batches/goedel_workbook/000739.json
index 7d14fd86fe4cd3c1362ddcc0ac1622df1c7fe3eb..03785b87985eb13e9a70328819d8171374254a9d 100644
--- a/manifests/batches/goedel_workbook/000739.json
+++ b/manifests/batches/goedel_workbook/000739.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000739",
   "batch_fingerprint": "ac9907f36c3c7e5bcf5cf9e65b6974ebaf60d3be7384ed17219951338868207c",
   "evidence": {
@@ -153,22 +152,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000739-0000-62f9c452aecc75d9.parquet",
-      "sha256": "62f9c452aecc75d938afd9b15491667f5fa9339e1043cd5b683fd394a03367f6",
-      "bytes": 173809,
-      "rows": 41,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000739-0000-88ffdd013964436c.parquet",
-      "sha256": "88ffdd013964436c95bccae33180d271f1d1ffd94a8a67744019a6966d7ff834",
-      "bytes": 32529,
-      "rows": 1,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35472",
     "goedel_workbook:lean_workbook_plus_35481",
@@ -208,5 +192,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018494.lean\",\"b4758bfcc9e32599dbb23ba107538d21ed84fcaa340ae54555d833609ad9caa5\",0,\"lean_workbook_plus_35551\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018497.lean\",\"ee83200e6e6ee3aa4494c8ec3d417d282c6ac00cdffeb15550c14318842355f5\",0,\"lean_workbook_plus_35564\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018498.lean\",\"98d52ce4700c45648d665c0dbfe4979d198eb9c1ea7a45d4456f25f4045aad8c\",0,\"lean_workbook_plus_35569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173809,
+      "path": "data/train/pf3/goedel_workbook-000739-0000-62f9c452aecc75d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "62f9c452aecc75d938afd9b15491667f5fa9339e1043cd5b683fd394a03367f6"
+    },
+    {
+      "bytes": 32529,
+      "path": "data/internal_test/pf3/goedel_workbook-000739-0000-88ffdd013964436c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "88ffdd013964436c95bccae33180d271f1d1ffd94a8a67744019a6966d7ff834"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000740.json b/manifests/batches/goedel_workbook/000740.json
index ab22f23f1a0e8461fafc4556e34750b0d69213d8..0b5a0c30a729104db1a5a645a9bcb906cb80ce9d 100644
--- a/manifests/batches/goedel_workbook/000740.json
+++ b/manifests/batches/goedel_workbook/000740.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000740",
   "batch_fingerprint": "95c685530a8f11381587ea254e74e940436b9e699261841c91c15c09e764729e",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000740-0000-feac7825a35ee365.parquet",
-      "sha256": "feac7825a35ee365ac2bb83767c2f0e129be61bf610a4b1e50e8dfb02c689981",
-      "bytes": 87693,
-      "rows": 30,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000740-0000-3b964fed0743195c.parquet",
-      "sha256": "3b964fed0743195c918cc37e7e4b26553f9ef5122f922cb9f296312951618a83",
-      "bytes": 77967,
-      "rows": 10,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000740-0000-8166a664e9a430c2.parquet",
-      "sha256": "8166a664e9a430c215ace960f9a592a7d2ffffa64c0818c8abaec817f0e4b0b9",
-      "bytes": 51702,
-      "rows": 2,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3558",
     "goedel_workbook:lean_workbook_plus_35586",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018522.lean\",\"703eb3733cfa1ce74d113f6bf040704786b2df794654508af677d9781a2a863c\",0,\"lean_workbook_plus_35648\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018523.lean\",\"0ab5ab62f33ad5265cd8b1811ec6ac78e60d3f5a4dd1a89f2fa386d7158e8d0b\",0,\"lean_workbook_plus_3566\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018524.lean\",\"5df6ee23aa8ad429e1c3a7fe30cdfc5fd77069e564d4d719ab9307ddbc7b56df\",0,\"lean_workbook_plus_35666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87693,
+      "path": "data/train/p40/goedel_workbook-000740-0000-feac7825a35ee365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "feac7825a35ee365ac2bb83767c2f0e129be61bf610a4b1e50e8dfb02c689981"
+    },
+    {
+      "bytes": 77967,
+      "path": "data/dev/p40/goedel_workbook-000740-0000-3b964fed0743195c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3b964fed0743195c918cc37e7e4b26553f9ef5122f922cb9f296312951618a83"
+    },
+    {
+      "bytes": 51702,
+      "path": "data/internal_test/p40/goedel_workbook-000740-0000-8166a664e9a430c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8166a664e9a430c215ace960f9a592a7d2ffffa64c0818c8abaec817f0e4b0b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000741.json b/manifests/batches/goedel_workbook/000741.json
index f348792c3e8fb36587389cb9c5a2e6320ad77741..8b3739b15f25de397dc9b2f9b0efdea4016c43df 100644
--- a/manifests/batches/goedel_workbook/000741.json
+++ b/manifests/batches/goedel_workbook/000741.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000741",
   "batch_fingerprint": "62ca6641280f38ef7c85ce008622ae662a7d82bc3ac24a0576628b7c0dde5a3b",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000741-0000-068e6cfff5342d3d.parquet",
-      "sha256": "068e6cfff5342d3d3b279210a830bc9e7bb3a1b776145d6636e69173a79d7640",
-      "bytes": 179408,
-      "rows": 40,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000741-0000-39cce3303863cbf2.parquet",
-      "sha256": "39cce3303863cbf25477305affdf4e2530f6269b09dbdef9ade1814eb8269f05",
-      "bytes": 28805,
-      "rows": 1,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35669",
     "goedel_workbook:lean_workbook_plus_3567",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018546.lean\",\"fd902411315562f17c8f59145455997114e36303bb7236dbb121c4948e519368\",0,\"lean_workbook_plus_3575\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018548.lean\",\"1b7baed7ed76935a067277825e177a3d17aee0519048ca9989d0f27e58106529\",0,\"lean_workbook_plus_3576\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018549.lean\",\"fdb2db2e895a940b4598745a9300264561a7be5ff410c55686eef1bdc998e903\",0,\"lean_workbook_plus_35769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179408,
+      "path": "data/train/p60/goedel_workbook-000741-0000-068e6cfff5342d3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "068e6cfff5342d3d3b279210a830bc9e7bb3a1b776145d6636e69173a79d7640"
+    },
+    {
+      "bytes": 28805,
+      "path": "data/internal_test/p60/goedel_workbook-000741-0000-39cce3303863cbf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "39cce3303863cbf25477305affdf4e2530f6269b09dbdef9ade1814eb8269f05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000742.json b/manifests/batches/goedel_workbook/000742.json
index 28ffb94a12a650c130272c84c77534d8b4733fa2..457a1e1b018717160677f20d49f04910536895bd 100644
--- a/manifests/batches/goedel_workbook/000742.json
+++ b/manifests/batches/goedel_workbook/000742.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000742",
   "batch_fingerprint": "c8a7811cfca70334ae5d4b4acd145fb690eb4675a867397457dd87b6f0a5ddcb",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000742-0000-3c48b9d6c5f3a556.parquet",
-      "sha256": "3c48b9d6c5f3a5568f396da79bfc43162d1e46bf093c548e65161dcc1b021d7c",
-      "bytes": 154580,
-      "rows": 31,
-      "revision": "fdc77269c11cecab039305bff63f8a17a00683cf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000742-0000-fd0b7c288425ee82.parquet",
-      "sha256": "fd0b7c288425ee82d99d5e406627573de15a52a5336c845d1d81e4ccb19ad600",
-      "bytes": 41069,
-      "rows": 4,
-      "revision": "fdc77269c11cecab039305bff63f8a17a00683cf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000742-0000-3f5a0c03f1157f94.parquet",
-      "sha256": "3f5a0c03f1157f9432590dc61462bcee6c76a34b03efd2058bcdfe7e9ca0d205",
-      "bytes": 71552,
-      "rows": 16,
-      "revision": "fdc77269c11cecab039305bff63f8a17a00683cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35771",
     "goedel_workbook:lean_workbook_plus_35785",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018571.lean\",\"0aae0fdec481599e7e8b2dc59c27b51be94acbd45bbb56b5c5928339d695116b\",0,\"lean_workbook_plus_35871\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018572.lean\",\"5439dbbd1cd7f81d7b9ebddb6ff2ccd7419301f5c286f314999af1ca012c7bdd\",0,\"lean_workbook_plus_35883\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018574.lean\",\"cd17cdd6600db1c18fd4d4a50a39df68f8ba0394ab54b15162f4198710e5e6d7\",0,\"lean_workbook_plus_35887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154580,
+      "path": "data/train/pad/goedel_workbook-000742-0000-3c48b9d6c5f3a556.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "3c48b9d6c5f3a5568f396da79bfc43162d1e46bf093c548e65161dcc1b021d7c"
+    },
+    {
+      "bytes": 41069,
+      "path": "data/dev/pad/goedel_workbook-000742-0000-fd0b7c288425ee82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fd0b7c288425ee82d99d5e406627573de15a52a5336c845d1d81e4ccb19ad600"
+    },
+    {
+      "bytes": 71552,
+      "path": "data/internal_test/pad/goedel_workbook-000742-0000-3f5a0c03f1157f94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3f5a0c03f1157f9432590dc61462bcee6c76a34b03efd2058bcdfe7e9ca0d205"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000743.json b/manifests/batches/goedel_workbook/000743.json
index bd1dc76fa6bf43a98c010479d9caeb77efcc56f9..ea26dc24efc25383e77bef46778d08a1372b11f1 100644
--- a/manifests/batches/goedel_workbook/000743.json
+++ b/manifests/batches/goedel_workbook/000743.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000743",
   "batch_fingerprint": "67a6a5f234368b6b99061af38909be9dc08d410984d29da34c5359d191e00637",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000743-0000-879dd61cc57b4206.parquet",
-      "sha256": "879dd61cc57b420695f893e79f798cbb832fb37b2972c2d0267766abcb25dc06",
-      "bytes": 139900,
-      "rows": 41,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000743-0000-19a68912339e3993.parquet",
-      "sha256": "19a68912339e3993283e2da105793c3bbdb06a9cb04062aaf47ad362737581c8",
-      "bytes": 29180,
-      "rows": 2,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000743-0000-a7d5f7260648ae06.parquet",
-      "sha256": "a7d5f7260648ae06dfc6d99d607b32c6ebec8662105e4f5f6f936f534d831729",
-      "bytes": 48851,
-      "rows": 7,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_35890",
     "goedel_workbook:lean_workbook_plus_35904",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018594.lean\",\"c81f3422917d4c48d907b6ed6a563190f1fb1632f7e7d59233f3f3fa2f1dafc2\",0,\"lean_workbook_plus_35979\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018595.lean\",\"a09f2536741055f448a11ff826f5077448eb1691edbb9f63f99861af5810ef2b\",0,\"lean_workbook_plus_35980\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018597.lean\",\"f7ea204c6a365e25d4bef35c877c72771d0be2e77c4f06ac3b7a592bc71adc5b\",0,\"lean_workbook_plus_35982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139900,
+      "path": "data/train/pde/goedel_workbook-000743-0000-879dd61cc57b4206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "879dd61cc57b420695f893e79f798cbb832fb37b2972c2d0267766abcb25dc06"
+    },
+    {
+      "bytes": 29180,
+      "path": "data/dev/pde/goedel_workbook-000743-0000-19a68912339e3993.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "19a68912339e3993283e2da105793c3bbdb06a9cb04062aaf47ad362737581c8"
+    },
+    {
+      "bytes": 48851,
+      "path": "data/internal_test/pde/goedel_workbook-000743-0000-a7d5f7260648ae06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a7d5f7260648ae06dfc6d99d607b32c6ebec8662105e4f5f6f936f534d831729"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000744.json b/manifests/batches/goedel_workbook/000744.json
index 692aef28a5c1caef67d429c541b89a74ee935864..0e8a67da18e380b5a096215cdbc7014e1334f5d1 100644
--- a/manifests/batches/goedel_workbook/000744.json
+++ b/manifests/batches/goedel_workbook/000744.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000744",
   "batch_fingerprint": "ca858a6ee7b24749daf9d07c1d1b6dccfedd1b994723ab1042596ebf904817cf",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000744-0000-713eb76fe4844638.parquet",
-      "sha256": "713eb76fe48446381834fcef10b5a7f44271321d4e09690be8644685ba7f621f",
-      "bytes": 126638,
-      "rows": 29,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000744-0000-057fd74e7a468353.parquet",
-      "sha256": "057fd74e7a4683530fe8f31e084ae5e5c0229cb88f32a0aaf242b948748b8183",
-      "bytes": 45361,
-      "rows": 4,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36002",
     "goedel_workbook:lean_workbook_plus_36007",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018622.lean\",\"8798ba4ec3b6eebd077d77504c5588159eb06c6166a4c418a6634d755b51bd23\",0,\"lean_workbook_plus_3614\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018623.lean\",\"c1ff35fa29b6e40f3b045c747e93b723eb847a59bf92621ac5b785f47d909064\",0,\"lean_workbook_plus_36143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018624.lean\",\"dfa635609f2e10d5f92fb0c74159bdfd860fe80ec6b7ea19cb42abefb4ad7b43\",0,\"lean_workbook_plus_36144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126638,
+      "path": "data/train/p94/goedel_workbook-000744-0000-713eb76fe4844638.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "713eb76fe48446381834fcef10b5a7f44271321d4e09690be8644685ba7f621f"
+    },
+    {
+      "bytes": 45361,
+      "path": "data/internal_test/p94/goedel_workbook-000744-0000-057fd74e7a468353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "057fd74e7a4683530fe8f31e084ae5e5c0229cb88f32a0aaf242b948748b8183"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000745.json b/manifests/batches/goedel_workbook/000745.json
index d48cf0cff4da0bb0552c834a8ca7ce994c056864..402eafd67aaf8b8ca761ee1e05a3bfb4857fe671 100644
--- a/manifests/batches/goedel_workbook/000745.json
+++ b/manifests/batches/goedel_workbook/000745.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000745",
   "batch_fingerprint": "d1650ed3ed73f664ae8062f0099e5b283aa9323a0a9c76db50f1a5575f259628",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000745-0000-7a68aa78969918d2.parquet",
-      "sha256": "7a68aa78969918d2cc987b2a3db42a7dbd454cf3e2f774d04378f44d021892a9",
-      "bytes": 183994,
-      "rows": 43,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000745-0000-b25e1e9abf213c55.parquet",
-      "sha256": "b25e1e9abf213c553b1571375e5b57be213932ca4904962d7efb63b893d2d724",
-      "bytes": 31035,
-      "rows": 1,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36146",
     "goedel_workbook:lean_workbook_plus_36147",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018639.lean\",\"177ce5a1e3451e66d776f69d98a3d528b9bdf2eb083f743582a8208833995dd3\",0,\"lean_workbook_plus_36220\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018645.lean\",\"8111fcc847766e0da0cab7b35767cd675cad9591f1fdef85a433758541038332\",0,\"lean_workbook_plus_36249\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018646.lean\",\"4b69e798b843518270a25c460bf5595ff359ccafad02ae4846f2cd5a1f57ec87\",0,\"lean_workbook_plus_3625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183994,
+      "path": "data/train/p69/goedel_workbook-000745-0000-7a68aa78969918d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7a68aa78969918d2cc987b2a3db42a7dbd454cf3e2f774d04378f44d021892a9"
+    },
+    {
+      "bytes": 31035,
+      "path": "data/dev/p69/goedel_workbook-000745-0000-b25e1e9abf213c55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b25e1e9abf213c553b1571375e5b57be213932ca4904962d7efb63b893d2d724"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000746.json b/manifests/batches/goedel_workbook/000746.json
index 2a5156af05264a5d3300b91681db900f069d2bb0..a43d55ca8f0c79c0e6a847c219a78ebdfe92593f 100644
--- a/manifests/batches/goedel_workbook/000746.json
+++ b/manifests/batches/goedel_workbook/000746.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000746",
   "batch_fingerprint": "121fe4562f3a61fde02328e250157309a9f0702260a3aa375e5e17985286bb3e",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000746-0000-ee0d46f4686e3ce1.parquet",
-      "sha256": "ee0d46f4686e3ce1a4a0e4d819020a75892eb9beb84ceb86e6ae22edee86e38f",
-      "bytes": 161176,
-      "rows": 34,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000746-0000-af32786c1353fc87.parquet",
-      "sha256": "af32786c1353fc87ac15704fd892ea1041504390556775a9a57a0189df51f234",
-      "bytes": 54618,
-      "rows": 11,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36270",
     "goedel_workbook:lean_workbook_plus_36273",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018671.lean\",\"fcba010ff8263d5af01a6c6ede223a14b1d55842005b58e49212077b854daa44\",0,\"lean_workbook_plus_36357\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018672.lean\",\"4698ad64a37028f5659dc24baa134d79f8bb1c204f1c553e0922a3b6d136116b\",0,\"lean_workbook_plus_36359\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018673.lean\",\"76a222f741852f747176d1385e67a425a2ce78f0deabf5f040955641b9cd15ea\",0,\"lean_workbook_plus_36363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161176,
+      "path": "data/train/p9e/goedel_workbook-000746-0000-ee0d46f4686e3ce1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "ee0d46f4686e3ce1a4a0e4d819020a75892eb9beb84ceb86e6ae22edee86e38f"
+    },
+    {
+      "bytes": 54618,
+      "path": "data/internal_test/p9e/goedel_workbook-000746-0000-af32786c1353fc87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "af32786c1353fc87ac15704fd892ea1041504390556775a9a57a0189df51f234"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000747.json b/manifests/batches/goedel_workbook/000747.json
index 6f8453c6d0b92470972e20dc70190acc9474aaef..e2753ac3442221b0399536b443629602a2363a4e 100644
--- a/manifests/batches/goedel_workbook/000747.json
+++ b/manifests/batches/goedel_workbook/000747.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000747",
   "batch_fingerprint": "ca62edf9b4d9f37216ac79e0062ac09cb97e76e5f8c71870d07c6dbf85b5e9be",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000747-0000-2ec244f519eaaab4.parquet",
-      "sha256": "2ec244f519eaaab408b1b8b9df9546e900382a4bf9eb7a420779afd5d03b9d10",
-      "bytes": 102148,
-      "rows": 21,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000747-0000-bbbe1c7dc6b5da53.parquet",
-      "sha256": "bbbe1c7dc6b5da53a36f8473f28f777339bf0d464fa6fa0d60cc0217cf402561",
-      "bytes": 47748,
-      "rows": 5,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000747-0000-966e6f39c378ae93.parquet",
-      "sha256": "966e6f39c378ae93fd6f3aa4f9741920d2663a7eb9b6c90f4f52ee205a2bc036",
-      "bytes": 31911,
-      "rows": 2,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36383",
     "goedel_workbook:lean_workbook_plus_36388",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018694.lean\",\"640535427cdd3127601530bbd58dd1b837d9858ae1dc8c9d72e692218a28e3c5\",0,\"lean_workbook_plus_36507\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018696.lean\",\"b4d409a397a48b3ac328029884ff57d21183f8c187b4cd20c6f828490c0046f4\",0,\"lean_workbook_plus_36517\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018699.lean\",\"d87625e455709311647edca837901df54f6998d856c0567885cbccf0b37b6d7b\",0,\"lean_workbook_plus_36520\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102148,
+      "path": "data/train/p1a/goedel_workbook-000747-0000-2ec244f519eaaab4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2ec244f519eaaab408b1b8b9df9546e900382a4bf9eb7a420779afd5d03b9d10"
+    },
+    {
+      "bytes": 47748,
+      "path": "data/dev/p1a/goedel_workbook-000747-0000-bbbe1c7dc6b5da53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bbbe1c7dc6b5da53a36f8473f28f777339bf0d464fa6fa0d60cc0217cf402561"
+    },
+    {
+      "bytes": 31911,
+      "path": "data/internal_test/p1a/goedel_workbook-000747-0000-966e6f39c378ae93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "966e6f39c378ae93fd6f3aa4f9741920d2663a7eb9b6c90f4f52ee205a2bc036"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000748.json b/manifests/batches/goedel_workbook/000748.json
index 8da102b3558a4d061c83dc2c2ee75ec22ec7268d..84b1c120290267aeb17e07540c886cf50ce6472a 100644
--- a/manifests/batches/goedel_workbook/000748.json
+++ b/manifests/batches/goedel_workbook/000748.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000748",
   "batch_fingerprint": "2f4a1220b0f7712599c9310448ad20fd5223269d504c59b7d05d4327508a5f8a",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000748-0000-592b5d058cf4461f.parquet",
-      "sha256": "592b5d058cf4461f8339c13ca8878d32483050c886443ccdbefe646af23faa2d",
-      "bytes": 132562,
-      "rows": 27,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000748-0000-47f7c0b93e3d469b.parquet",
-      "sha256": "47f7c0b93e3d469be2ccaf4930ac38656973da7290e9fb475a433a1a7132dfed",
-      "bytes": 44393,
-      "rows": 4,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000748-0000-35420ef1457e6367.parquet",
-      "sha256": "35420ef1457e63672fd4215981b37d36707594d882f0a48602f6854c4b455ad8",
-      "bytes": 34598,
-      "rows": 2,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36538",
     "goedel_workbook:lean_workbook_plus_36540",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018719.lean\",\"007e5ba96880a2437cbcbb7784ff887a4950cf4df1c7794fcc3c074f01382848\",0,\"lean_workbook_plus_36620\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018721.lean\",\"df8c03286982a3fe2e97c1f1f84698ef87e274c20f0b6283a33c37267f844e7b\",0,\"lean_workbook_plus_36644\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018724.lean\",\"248e46c779a7b8a254bf3f8dec6e8f9cff313c63211b59d9ee4b1ef33fd64223\",0,\"lean_workbook_plus_36664\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132562,
+      "path": "data/train/pc7/goedel_workbook-000748-0000-592b5d058cf4461f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "592b5d058cf4461f8339c13ca8878d32483050c886443ccdbefe646af23faa2d"
+    },
+    {
+      "bytes": 44393,
+      "path": "data/dev/pc7/goedel_workbook-000748-0000-47f7c0b93e3d469b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "47f7c0b93e3d469be2ccaf4930ac38656973da7290e9fb475a433a1a7132dfed"
+    },
+    {
+      "bytes": 34598,
+      "path": "data/internal_test/pc7/goedel_workbook-000748-0000-35420ef1457e6367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "35420ef1457e63672fd4215981b37d36707594d882f0a48602f6854c4b455ad8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000749.json b/manifests/batches/goedel_workbook/000749.json
index 1081d3f615ba58c006791480fafac33923ed2fa2..7ab255d94e5e25fbf8fd841d808b60107c277e01 100644
--- a/manifests/batches/goedel_workbook/000749.json
+++ b/manifests/batches/goedel_workbook/000749.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000749",
   "batch_fingerprint": "0230daab7579cc8dc8dec8416bbbda326ebca850390173d15f5cb98e0dbc258a",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000749-0000-8ca31fb10f9116b4.parquet",
-      "sha256": "8ca31fb10f9116b4651096dbac57420ae214387c1549c40a1301cbeac598b9c1",
-      "bytes": 143369,
-      "rows": 35,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000749-0000-f24e7113da5c3095.parquet",
-      "sha256": "f24e7113da5c3095db559f6772584ed4abd290723bfa250c514490107361af51",
-      "bytes": 37261,
-      "rows": 3,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36666",
     "goedel_workbook:lean_workbook_plus_36672",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018744.lean\",\"04a34d7b040e20461033a17b8cb73274a4d35d0d3d604cbcf60291fabd152004\",0,\"lean_workbook_plus_36759\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018748.lean\",\"0e46fc50395391efffc1f28f29dd859be1ec8f9e7fbb9cd38fa6911dc47d603b\",0,\"lean_workbook_plus_36770\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018749.lean\",\"8eff8fda919e0a7112e8c310dffc774ecd2cc8a1bf272b287f8258be00f4e7b6\",0,\"lean_workbook_plus_36773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143369,
+      "path": "data/train/pdc/goedel_workbook-000749-0000-8ca31fb10f9116b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "8ca31fb10f9116b4651096dbac57420ae214387c1549c40a1301cbeac598b9c1"
+    },
+    {
+      "bytes": 37261,
+      "path": "data/internal_test/pdc/goedel_workbook-000749-0000-f24e7113da5c3095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f24e7113da5c3095db559f6772584ed4abd290723bfa250c514490107361af51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000750.json b/manifests/batches/goedel_workbook/000750.json
index 516d19c737e2f788259aa3a41239ddf6d44c0dc1..0e54f3b5e0bb700229d13533a78aa6f8061a61ee 100644
--- a/manifests/batches/goedel_workbook/000750.json
+++ b/manifests/batches/goedel_workbook/000750.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000750",
   "batch_fingerprint": "1713ef3b9c4c326bf2fd7fc7505e304cd0705b0d1dfc0480cc20f208559178df",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000750-0000-8053a304086222de.parquet",
-      "sha256": "8053a304086222de24f83856b8480406e01a9b797bf34a1d90ef055575d31b62",
-      "bytes": 159822,
-      "rows": 56,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000750-0000-e39d7569f632b6c5.parquet",
-      "sha256": "e39d7569f632b6c5e1b8617142ebf815b4ee691f5433b17f6005da58af0be35a",
-      "bytes": 39035,
-      "rows": 2,
-      "revision": "ad09cc697ddcc01965346add14b0921c88975ffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36775",
     "goedel_workbook:lean_workbook_plus_36776",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018766.lean\",\"bd32e6098bae79bac1d5a282be23c11b2d3b55afb2f2a85814ce1e301e8236f8\",0,\"lean_workbook_plus_36836\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018767.lean\",\"a912567000515f6d56d26ab7e0f930f07739ef8ce2273a77dd456b5b290e2ce0\",0,\"lean_workbook_plus_36843\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018771.lean\",\"3b05213fa4e2740d8b6a3e2fda002be8f6c8a9ea8fdbb3ea98fd959e0c033e31\",0,\"lean_workbook_plus_36865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159822,
+      "path": "data/train/pe4/goedel_workbook-000750-0000-8053a304086222de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "8053a304086222de24f83856b8480406e01a9b797bf34a1d90ef055575d31b62"
+    },
+    {
+      "bytes": 39035,
+      "path": "data/dev/pe4/goedel_workbook-000750-0000-e39d7569f632b6c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e39d7569f632b6c5e1b8617142ebf815b4ee691f5433b17f6005da58af0be35a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000751.json b/manifests/batches/goedel_workbook/000751.json
index 8e7854838ac95f18b4f3b9be05669dd02d569eea..86850a359dd6cc10195471634e2329f7032f168e 100644
--- a/manifests/batches/goedel_workbook/000751.json
+++ b/manifests/batches/goedel_workbook/000751.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000751",
   "batch_fingerprint": "0992a9d8c0701866427c76c2a2ffbbfd0690fa0db78f7e855d55d1cf6312d204",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000751-0000-872e99dfe10d261a.parquet",
-      "sha256": "872e99dfe10d261a227110fcc4a08a8aefe1b5b3cff541ef013dad3cd5b0c6a4",
-      "bytes": 160162,
-      "rows": 58,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000751-0000-82e027b31aa2bfa7.parquet",
-      "sha256": "82e027b31aa2bfa75772ae438eb9225b06a028667ca9c11723ba6484ffbbc651",
-      "bytes": 44257,
-      "rows": 10,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36881",
     "goedel_workbook:lean_workbook_plus_36888",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018797.lean\",\"1bc760a54ea4c5ca39404fc95a7b83d0bd6e23638d81e48eb09c0e317a08bfa0\",0,\"lean_workbook_plus_36953\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018798.lean\",\"f8f59ea8bbee7f7d6842be67afdb22cd86d36bc8e3734cac03a6970ff8cf4167\",0,\"lean_workbook_plus_36959\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018799.lean\",\"66639d2d64ef39643351cf394898f7721540a57cac8f442522137bfcf1e92029\",0,\"lean_workbook_plus_36961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160162,
+      "path": "data/train/p9e/goedel_workbook-000751-0000-872e99dfe10d261a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "872e99dfe10d261a227110fcc4a08a8aefe1b5b3cff541ef013dad3cd5b0c6a4"
+    },
+    {
+      "bytes": 44257,
+      "path": "data/dev/p9e/goedel_workbook-000751-0000-82e027b31aa2bfa7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "82e027b31aa2bfa75772ae438eb9225b06a028667ca9c11723ba6484ffbbc651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000752.json b/manifests/batches/goedel_workbook/000752.json
index 8943d1911b2ff8a3e2dd46855bb35b858e99af75..e9359d26fd109315ca194c96a2dff24a1304dd2b 100644
--- a/manifests/batches/goedel_workbook/000752.json
+++ b/manifests/batches/goedel_workbook/000752.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000752",
   "batch_fingerprint": "24c331932d9ee43de02019a240491a516f8d67d20b43f926bbe3a0d6d6488ae7",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000752-0000-ac227f11a96a1742.parquet",
-      "sha256": "ac227f11a96a17429853f73f807a52ace70c590527cc66522c8324d81489a2f6",
-      "bytes": 171299,
-      "rows": 41,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000752-0000-f4062ed8d85625cc.parquet",
-      "sha256": "f4062ed8d85625cc1c873bf79b7a9b4e8a8d93dbea1378444e2cb75bff28b819",
-      "bytes": 29591,
-      "rows": 1,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000752-0000-4e2c68b9099876e2.parquet",
-      "sha256": "4e2c68b9099876e220d136ab40be9eaf9fd73c0326283ea6da72df2f76cc2858",
-      "bytes": 63299,
-      "rows": 13,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_36963",
     "goedel_workbook:lean_workbook_plus_36969",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018821.lean\",\"4031fb009aa3177db42fd6ef43c327c1d1b7c295d2b0d24877bfa9824f04610a\",0,\"lean_workbook_plus_37102\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018822.lean\",\"2c00e08849c540386ffc25a83f1203e0066e8ffc4dfd1e101cf6a1d1faac38c7\",0,\"lean_workbook_plus_37106\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018824.lean\",\"0b13675dfa08fad955101ffd880270bf71c2a0700dc316b030ecc8df150a658e\",0,\"lean_workbook_plus_3711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171299,
+      "path": "data/train/p1f/goedel_workbook-000752-0000-ac227f11a96a1742.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "ac227f11a96a17429853f73f807a52ace70c590527cc66522c8324d81489a2f6"
+    },
+    {
+      "bytes": 29591,
+      "path": "data/dev/p1f/goedel_workbook-000752-0000-f4062ed8d85625cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f4062ed8d85625cc1c873bf79b7a9b4e8a8d93dbea1378444e2cb75bff28b819"
+    },
+    {
+      "bytes": 63299,
+      "path": "data/internal_test/p1f/goedel_workbook-000752-0000-4e2c68b9099876e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4e2c68b9099876e220d136ab40be9eaf9fd73c0326283ea6da72df2f76cc2858"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000753.json b/manifests/batches/goedel_workbook/000753.json
index 53677ab2328b8bab4a6b6294d29977ffd506f739..412fce6cd45e825ff7761962d308459e2623f105 100644
--- a/manifests/batches/goedel_workbook/000753.json
+++ b/manifests/batches/goedel_workbook/000753.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000753",
   "batch_fingerprint": "6d962e621cac34d035d565083c342e4f997d5ec0e61d2d486e6e9265eda93649",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000753-0000-b3b0d2859d4772f2.parquet",
-      "sha256": "b3b0d2859d4772f2c8ef6f9c776e538a1b8f85399d83ce1d711f6f9bda2ae0ef",
-      "bytes": 137806,
-      "rows": 31,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000753-0000-3d21469ec6eb7436.parquet",
-      "sha256": "3d21469ec6eb7436bae28793b65a68a6991bc604c897f26317f518129cdf6841",
-      "bytes": 46624,
-      "rows": 3,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37127",
     "goedel_workbook:lean_workbook_plus_37165",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018847.lean\",\"c1d5b8d0b780f4c0f82f53be15ceef08895acef4c4c1f417d537433ebce8c232\",0,\"lean_workbook_plus_37219\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018848.lean\",\"f43a5875d43133127b4b3c8e625031c76f325b92f9e565e09dc91143f0bef28c\",0,\"lean_workbook_plus_37228\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018849.lean\",\"2d0e95e7cd029c76039302e6f8245056436c38a2a41c80c74f4bc3e6b3e7a39f\",0,\"lean_workbook_plus_37230\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137806,
+      "path": "data/train/p39/goedel_workbook-000753-0000-b3b0d2859d4772f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "b3b0d2859d4772f2c8ef6f9c776e538a1b8f85399d83ce1d711f6f9bda2ae0ef"
+    },
+    {
+      "bytes": 46624,
+      "path": "data/dev/p39/goedel_workbook-000753-0000-3d21469ec6eb7436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d21469ec6eb7436bae28793b65a68a6991bc604c897f26317f518129cdf6841"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000754.json b/manifests/batches/goedel_workbook/000754.json
index 97ff1044cabfcb78fc3d0649f1892464f68c8f4a..ff2b967c91c7ba9921a9ff99e8c62c6ae8046a7f 100644
--- a/manifests/batches/goedel_workbook/000754.json
+++ b/manifests/batches/goedel_workbook/000754.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000754",
   "batch_fingerprint": "b14987c9d613858ece48de622eb66e45242c15c28d19fb6ed017f244e73e6788",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000754-0000-32d471a2e7c10547.parquet",
-      "sha256": "32d471a2e7c10547202e17fa41cc7f5c82e1eb4e5f48e1a76f1506e4b54bd2af",
-      "bytes": 143365,
-      "rows": 36,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000754-0000-8a7dd251da5140cf.parquet",
-      "sha256": "8a7dd251da5140cf52fcc0491eb0f55fc7af0378f7b65f4e64ff94333d7372b7",
-      "bytes": 52672,
-      "rows": 6,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3724",
     "goedel_workbook:lean_workbook_plus_37261",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018872.lean\",\"fcc909e6b629c6c08065f8a75b1552b6e79c59349ec31abeddc10bc67559a222\",0,\"lean_workbook_plus_37346\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018873.lean\",\"c7c234fa8930bbc7bfa3ff6cbb7b525ab304acc4c1c917adee64e5c8f29a6688\",0,\"lean_workbook_plus_3735\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018874.lean\",\"612bd9cab657664d11a8fa63c85a93657db8fdee3f15f758a9b63ae30545f5e8\",0,\"lean_workbook_plus_37352\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143365,
+      "path": "data/train/p22/goedel_workbook-000754-0000-32d471a2e7c10547.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "32d471a2e7c10547202e17fa41cc7f5c82e1eb4e5f48e1a76f1506e4b54bd2af"
+    },
+    {
+      "bytes": 52672,
+      "path": "data/internal_test/p22/goedel_workbook-000754-0000-8a7dd251da5140cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8a7dd251da5140cf52fcc0491eb0f55fc7af0378f7b65f4e64ff94333d7372b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000755.json b/manifests/batches/goedel_workbook/000755.json
index 64d290044f67b37baf75d71f59d2f782c17aeb9c..ce4defc5e204564dafe4ff9cbc4af07ad6d6e6a1 100644
--- a/manifests/batches/goedel_workbook/000755.json
+++ b/manifests/batches/goedel_workbook/000755.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000755",
   "batch_fingerprint": "a0d1fa1a9fa600c6c2b405a8400db1c80554b323e39223c8b879942534a30c49",
   "evidence": {
@@ -252,22 +251,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000755-0000-97b125dad4bbfd34.parquet",
-      "sha256": "97b125dad4bbfd3498db854af4c30f612a9f581d0c3c309536a996a01725ee2f",
-      "bytes": 147855,
-      "rows": 34,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000755-0000-29a06f986e751d92.parquet",
-      "sha256": "29a06f986e751d9215121389f248d7c32b0b550b28ed9a5cea1bcab9bac4dab6",
-      "bytes": 41658,
-      "rows": 5,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37354",
     "goedel_workbook:lean_workbook_plus_3737",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018894.lean\",\"c7e5c4be3fde21ed3f66c83e018f8a85c8c3fbaf08ce5086c24dd7b4d798813d\",0,\"lean_workbook_plus_37471\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018895.lean\",\"0d41d062f0bb49452efa24255d93663a2f18d406a9921f97273c11ab65efc346\",0,\"lean_workbook_plus_37478\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018896.lean\",\"74e1662f8bed2bcc06b02862fc9e1b97e4be5883bb4dd4ee01647ed61685c0ad\",0,\"lean_workbook_plus_37482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147855,
+      "path": "data/train/pb3/goedel_workbook-000755-0000-97b125dad4bbfd34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "97b125dad4bbfd3498db854af4c30f612a9f581d0c3c309536a996a01725ee2f"
+    },
+    {
+      "bytes": 41658,
+      "path": "data/internal_test/pb3/goedel_workbook-000755-0000-29a06f986e751d92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "29a06f986e751d9215121389f248d7c32b0b550b28ed9a5cea1bcab9bac4dab6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000756.json b/manifests/batches/goedel_workbook/000756.json
index ef60caa73653fca6e715ae939daf518a5c60f3e0..ee72208918c865547ddd907c960f734d542b3941 100644
--- a/manifests/batches/goedel_workbook/000756.json
+++ b/manifests/batches/goedel_workbook/000756.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000756",
   "batch_fingerprint": "c08a78e819e5aebbb84d1b27601f3f18c477b5e7ec0409ea2d3621caff6940ec",
   "evidence": {
@@ -163,15 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000756-0000-43b796d3cd86ff30.parquet",
-      "sha256": "43b796d3cd86ff30d097f4b824d5d7705f80dbf3336fbcdc9d9d52d7265b25b0",
-      "bytes": 226866,
-      "rows": 50,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3750",
     "goedel_workbook:lean_workbook_plus_37502",
@@ -209,5 +200,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018920.lean\",\"16189e9a052d7e59370ae7ba31c09790bd4d62598e2d354e4b38d6e79e7eb292\",0,\"lean_workbook_plus_37592\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018921.lean\",\"4ccdfe6e4fddb240fcf9fe5edebfef9ac736747e624a1f1688d4337312f7f50d\",0,\"lean_workbook_plus_37593\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018923.lean\",\"36e719b5f539d4c2360a2368e810e583417b72717a67f8b8166f45b09bb6e0d8\",0,\"lean_workbook_plus_37605\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226866,
+      "path": "data/train/p99/goedel_workbook-000756-0000-43b796d3cd86ff30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "43b796d3cd86ff30d097f4b824d5d7705f80dbf3336fbcdc9d9d52d7265b25b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000757.json b/manifests/batches/goedel_workbook/000757.json
index cae7a4ea691002c0a442ab0b30c4fcb918b90778..4a84d203df639eca1f5d82aae2849fbefc0c6450 100644
--- a/manifests/batches/goedel_workbook/000757.json
+++ b/manifests/batches/goedel_workbook/000757.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000757",
   "batch_fingerprint": "8b5f779a388f33e879c5f8cb185e24d0d7788b30b78a3c836133fbd88ab83d47",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000757-0000-77c9808ec5fe2a2d.parquet",
-      "sha256": "77c9808ec5fe2a2dcd859daa7d064365a1343a8272f7e045c59052c5d243e44b",
-      "bytes": 270788,
-      "rows": 74,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000757-0000-501f03d6861e583c.parquet",
-      "sha256": "501f03d6861e583cd4fb5dc49412b4a9ce3ef06b5e3dde613f6ad6d97a5ef87a",
-      "bytes": 29517,
-      "rows": 2,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000757-0000-4fdf0286157a719f.parquet",
-      "sha256": "4fdf0286157a719f37bfa42c3f99da46d136dd72aac9ecd10917aa4bb67537d6",
-      "bytes": 46376,
-      "rows": 5,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37622",
     "goedel_workbook:lean_workbook_plus_37629",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018947.lean\",\"186a020ba7ef77707726a4eacd80921c3a5a75b429f05d5d74f4ed75f53362f9\",0,\"lean_workbook_plus_37716\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018948.lean\",\"12b6185a37c2a9d939fc5bae03fc0e770997b51a6b0ea85f3961306f99bbaa25\",0,\"lean_workbook_plus_37717\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018949.lean\",\"e5513d0eaf2399391f2cb23ca79d8836eb6561082b252a7204a3f96cd2526c68\",0,\"lean_workbook_plus_37721\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270788,
+      "path": "data/train/pb4/goedel_workbook-000757-0000-77c9808ec5fe2a2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "77c9808ec5fe2a2dcd859daa7d064365a1343a8272f7e045c59052c5d243e44b"
+    },
+    {
+      "bytes": 29517,
+      "path": "data/dev/pb4/goedel_workbook-000757-0000-501f03d6861e583c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "501f03d6861e583cd4fb5dc49412b4a9ce3ef06b5e3dde613f6ad6d97a5ef87a"
+    },
+    {
+      "bytes": 46376,
+      "path": "data/internal_test/pb4/goedel_workbook-000757-0000-4fdf0286157a719f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4fdf0286157a719f37bfa42c3f99da46d136dd72aac9ecd10917aa4bb67537d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000758.json b/manifests/batches/goedel_workbook/000758.json
index 5976aec755e23e16b28b49d2f65e81ad2a3bd7a2..3cc04a207082568cf14aea7d69d8eba796b64f2a 100644
--- a/manifests/batches/goedel_workbook/000758.json
+++ b/manifests/batches/goedel_workbook/000758.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000758",
   "batch_fingerprint": "89bd92d6edb8670cd2213b54e9a71cc7613d9d07f915af039240eda75418bee8",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000758-0000-ef00f9bcddb8d856.parquet",
-      "sha256": "ef00f9bcddb8d856b66858016726c54ac0d35a01e9c43993e3c62482fd1a4a2d",
-      "bytes": 146625,
-      "rows": 37,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000758-0000-7c7a6043051b766d.parquet",
-      "sha256": "7c7a6043051b766d2445c2b21eabb686b6124fe168b02b83927a021fd9a8c587",
-      "bytes": 81447,
-      "rows": 5,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37722",
     "goedel_workbook:lean_workbook_plus_37727",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018971.lean\",\"9cddd6f55c458dd016adf5de7a5dda6e2fa33a864855859b4f34e4dbbb4c26b7\",0,\"lean_workbook_plus_37816\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018972.lean\",\"0bb6d8da44e847271c9772189b4cd869f08937586ce8376ec80db188a1759ced\",0,\"lean_workbook_plus_37830\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018973.lean\",\"087cc1b869389e2cd83af2901c340416ce488273b76d504b5acf50483a9a3144\",0,\"lean_workbook_plus_37835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146625,
+      "path": "data/train/p2d/goedel_workbook-000758-0000-ef00f9bcddb8d856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ef00f9bcddb8d856b66858016726c54ac0d35a01e9c43993e3c62482fd1a4a2d"
+    },
+    {
+      "bytes": 81447,
+      "path": "data/internal_test/p2d/goedel_workbook-000758-0000-7c7a6043051b766d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7c7a6043051b766d2445c2b21eabb686b6124fe168b02b83927a021fd9a8c587"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000759.json b/manifests/batches/goedel_workbook/000759.json
index c74af10912c2a52445c70a259c6261591484bfe1..a669b4436d63361c378a772eba1fd6a88b8b58b6 100644
--- a/manifests/batches/goedel_workbook/000759.json
+++ b/manifests/batches/goedel_workbook/000759.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000759",
   "batch_fingerprint": "6e5a68dd4a219b7f4045fccbe88b62d1bd99f5e459ba65a673a9061788c4d30f",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000759-0000-3a4f8097d2c0bf20.parquet",
-      "sha256": "3a4f8097d2c0bf20e90dbd5e977d2589d473db43be0f09d12a2d3788f5752e78",
-      "bytes": 176644,
-      "rows": 53,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000759-0000-cb212166d9f0f667.parquet",
-      "sha256": "cb212166d9f0f667060ffa46d99af8ded97b15c19943dfd342a9bc4ec3e7002c",
-      "bytes": 55543,
-      "rows": 3,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37843",
     "goedel_workbook:lean_workbook_plus_37858",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018996.lean\",\"5712d5640aa19d66a95a7c35089ec0fe55e684b45565337d7f92524e5efe44cc\",0,\"lean_workbook_plus_37935\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018997.lean\",\"99728fac58ce07d567d2db95f80142c4d29e01a3f798ef10e6b5dc7f63a56e76\",0,\"lean_workbook_plus_37936\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_018998.lean\",\"98074fd338e8cbb003c87a4ef6ae624b00b0abe37c96e7bed7f0305ecb90d691\",0,\"lean_workbook_plus_37950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176644,
+      "path": "data/train/pe4/goedel_workbook-000759-0000-3a4f8097d2c0bf20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "3a4f8097d2c0bf20e90dbd5e977d2589d473db43be0f09d12a2d3788f5752e78"
+    },
+    {
+      "bytes": 55543,
+      "path": "data/internal_test/pe4/goedel_workbook-000759-0000-cb212166d9f0f667.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cb212166d9f0f667060ffa46d99af8ded97b15c19943dfd342a9bc4ec3e7002c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000760.json b/manifests/batches/goedel_workbook/000760.json
index ec7b91b142ba1bfeaa2e249fad30b9d14ec816b8..6e15ed1c3d9f096c5c64327cf87f69f6093912c2 100644
--- a/manifests/batches/goedel_workbook/000760.json
+++ b/manifests/batches/goedel_workbook/000760.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000760",
   "batch_fingerprint": "6b4ceb759600a50c7e3f457508264a64445589ddb9fadf71d1228f0a51ac0b9e",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000760-0000-c0bff69e029583ce.parquet",
-      "sha256": "c0bff69e029583cec9f3e149936df0d960221a07e8babf4c86b5f28a0ccf5158",
-      "bytes": 192555,
-      "rows": 42,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000760-0000-8a8c24c3e4354416.parquet",
-      "sha256": "8a8c24c3e4354416354e19b992c28a23835dd68f0db99a6b5b1c1984860619f0",
-      "bytes": 89382,
-      "rows": 13,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000760-0000-f46aacadc5e34085.parquet",
-      "sha256": "f46aacadc5e340855678ef1f6337fe9bad29fcb6685a6e245c3fa4298f5e788e",
-      "bytes": 49201,
-      "rows": 8,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_37974",
     "goedel_workbook:lean_workbook_plus_37984",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019022.lean\",\"4a033adf71c489148161425996d32c2b06acf09dfe0c7ff5bd6c50f9f7839b66\",0,\"lean_workbook_plus_38065\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019023.lean\",\"f93639983c8fd9b008ae6c62a4421bf8d0d445597a8d302f42451d29eb647069\",0,\"lean_workbook_plus_38066\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019024.lean\",\"1d077b7d154630e73ae1f9a1a64ed9594767b1be0ca7a1f164a41a2a43cf755f\",0,\"lean_workbook_plus_38068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192555,
+      "path": "data/train/p1e/goedel_workbook-000760-0000-c0bff69e029583ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "c0bff69e029583cec9f3e149936df0d960221a07e8babf4c86b5f28a0ccf5158"
+    },
+    {
+      "bytes": 89382,
+      "path": "data/dev/p1e/goedel_workbook-000760-0000-8a8c24c3e4354416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8a8c24c3e4354416354e19b992c28a23835dd68f0db99a6b5b1c1984860619f0"
+    },
+    {
+      "bytes": 49201,
+      "path": "data/internal_test/p1e/goedel_workbook-000760-0000-f46aacadc5e34085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f46aacadc5e340855678ef1f6337fe9bad29fcb6685a6e245c3fa4298f5e788e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000761.json b/manifests/batches/goedel_workbook/000761.json
index 4e29f1526aa5e1cd3c65b0eb9628b6c6b876ab54..7ccc2301fb17142b5af63e4cefc00d3740cea695 100644
--- a/manifests/batches/goedel_workbook/000761.json
+++ b/manifests/batches/goedel_workbook/000761.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000761",
   "batch_fingerprint": "b2514778615bd7f4c60e92d2f31bbc7f137b2290aafaf80360ba438afa01d4ef",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000761-0000-53f7521de1fe2fb0.parquet",
-      "sha256": "53f7521de1fe2fb0e9105969dde2e9add78d84d5bee7326cc548bdca5078e58e",
-      "bytes": 142025,
-      "rows": 23,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000761-0000-85ce56d27fb776f7.parquet",
-      "sha256": "85ce56d27fb776f76b5f0dea4a80a4e5752fe2512200199931d9eeb938a15d69",
-      "bytes": 69722,
-      "rows": 9,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000761-0000-d0b418d5e29cb899.parquet",
-      "sha256": "d0b418d5e29cb899be435819c84a4db0f65ff81da11f72a3ffe7e7fcbf3e7369",
-      "bytes": 35423,
-      "rows": 4,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38069",
     "goedel_workbook:lean_workbook_plus_38071",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019045.lean\",\"35e2714c7f111bdba20e95d40ca444e93fdfd344ff9ef0d7ae290217a34adaf0\",0,\"lean_workbook_plus_3812\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019046.lean\",\"3a8d679d22320b1bedf8c8b09d462185eeff3122effde16bf38df9d3581cc975\",0,\"lean_workbook_plus_38120\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019047.lean\",\"be48f70504064eb791d14ce9d72da0c85c121fdb15c6d38de38c618cddf14635\",0,\"lean_workbook_plus_38123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142025,
+      "path": "data/train/p4d/goedel_workbook-000761-0000-53f7521de1fe2fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "53f7521de1fe2fb0e9105969dde2e9add78d84d5bee7326cc548bdca5078e58e"
+    },
+    {
+      "bytes": 69722,
+      "path": "data/dev/p4d/goedel_workbook-000761-0000-85ce56d27fb776f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "85ce56d27fb776f76b5f0dea4a80a4e5752fe2512200199931d9eeb938a15d69"
+    },
+    {
+      "bytes": 35423,
+      "path": "data/internal_test/p4d/goedel_workbook-000761-0000-d0b418d5e29cb899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d0b418d5e29cb899be435819c84a4db0f65ff81da11f72a3ffe7e7fcbf3e7369"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000762.json b/manifests/batches/goedel_workbook/000762.json
index aa5a9231902a0d71f3abb54e47dcba152e3b9a18..89eb0e9313e31c9a6a64f3dc78e18164865959aa 100644
--- a/manifests/batches/goedel_workbook/000762.json
+++ b/manifests/batches/goedel_workbook/000762.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000762",
   "batch_fingerprint": "2296c1beaf0816c0255869f5aeaddb84b8cabf12ef57aee1716b90534c06b5dc",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000762-0000-9ec7dd51465bdfe3.parquet",
-      "sha256": "9ec7dd51465bdfe382ad6af548c1414fbf2a13d33ba7a10a2579cc598a6d61b7",
-      "bytes": 236845,
-      "rows": 55,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000762-0000-28a513ed02472f6d.parquet",
-      "sha256": "28a513ed02472f6d9ea8b3b74f3564e769b8aab52cb50255dd49219767b651f4",
-      "bytes": 26763,
-      "rows": 1,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38127",
     "goedel_workbook:lean_workbook_plus_38133",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019072.lean\",\"a29df4fe4462a74243538ba96c163aa98f3219757efb5aa5965b42fc5927357c\",0,\"lean_workbook_plus_38230\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019073.lean\",\"9067fb010af93d58f3260a1e727bb8eb7872d43ea6db53d8524d98a99d12cd57\",0,\"lean_workbook_plus_38235\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019074.lean\",\"bd8724a5ac3cf8157134e5ade69fd2743ebfef2bc21d2c8bc33ce9806ce85b77\",0,\"lean_workbook_plus_38236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236845,
+      "path": "data/train/p01/goedel_workbook-000762-0000-9ec7dd51465bdfe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "9ec7dd51465bdfe382ad6af548c1414fbf2a13d33ba7a10a2579cc598a6d61b7"
+    },
+    {
+      "bytes": 26763,
+      "path": "data/internal_test/p01/goedel_workbook-000762-0000-28a513ed02472f6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "28a513ed02472f6d9ea8b3b74f3564e769b8aab52cb50255dd49219767b651f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000763.json b/manifests/batches/goedel_workbook/000763.json
index aee0b1938a7a75877c741a82cbc2473693b71a3f..b10763d034e0d8cc12318ebade28373de70e4405 100644
--- a/manifests/batches/goedel_workbook/000763.json
+++ b/manifests/batches/goedel_workbook/000763.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000763",
   "batch_fingerprint": "b10ebd6347ffbc33a47c69dbc4b1abe9f1cb7260fefe2f4cfa8865b831479e21",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000763-0000-453455dfe2387b00.parquet",
-      "sha256": "453455dfe2387b003e8918bdb38b50b4ab663c3b19e979d50277842bf0bd34ca",
-      "bytes": 93583,
-      "rows": 26,
-      "revision": "e727abd28dfe74e13e01803a1d42735786e167a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38237",
     "goedel_workbook:lean_workbook_plus_3826",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019095.lean\",\"6ada0405f5a0e8881e41e7ec6bbb2b39c6c997b6f1d9f40ec53fe87729ea7724\",0,\"lean_workbook_plus_38303\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019096.lean\",\"69515817281cb70c9c84a2ab68dca70d07f740966b7b2779cd2ac94f5862fdfb\",0,\"lean_workbook_plus_38305\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019098.lean\",\"d2077bcb9c3f855f885fa2c230b5e04415f757233ca5c41dce901cde4b26a378\",0,\"lean_workbook_plus_38308\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93583,
+      "path": "data/train/pd1/goedel_workbook-000763-0000-453455dfe2387b00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "453455dfe2387b003e8918bdb38b50b4ab663c3b19e979d50277842bf0bd34ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000764.json b/manifests/batches/goedel_workbook/000764.json
index 2329bdb12b0e5a457fc6fcd42c11d2263d8f1341..ad93f5a8c8ea09dd1464f419c95bfcdb7ee01620 100644
--- a/manifests/batches/goedel_workbook/000764.json
+++ b/manifests/batches/goedel_workbook/000764.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000764",
   "batch_fingerprint": "0384f0888c8606f6aa600fa331e1b5d98e1da6254861237a6e8f4d1107a1a8c2",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000764-0000-fcac0e0e7935240b.parquet",
-      "sha256": "fcac0e0e7935240b0a179d56506d1593a209f55d794298c46666ace4c761a66a",
-      "bytes": 155470,
-      "rows": 46,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000764-0000-4252561da0e945c2.parquet",
-      "sha256": "4252561da0e945c2905539fa62cbd3c1a83ce3b10821d5999c5357997a3bd5a1",
-      "bytes": 44898,
-      "rows": 2,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000764-0000-ab91ea368193f891.parquet",
-      "sha256": "ab91ea368193f891f820c112ad78b325ee245b1fdc302db118279bcf490f78d8",
-      "bytes": 75430,
-      "rows": 24,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38314",
     "goedel_workbook:lean_workbook_plus_38315",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019122.lean\",\"13ed01f07f2dee111b48852be7c6131972702eca5acf18d8313df239389bf2c5\",0,\"lean_workbook_plus_38404\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019123.lean\",\"559fe387f6d26893848bbc4863e77d1596b82484194060352918d0dc8627658b\",0,\"lean_workbook_plus_38408\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019124.lean\",\"1e97b4988f42f6e4a20171a414570ac147dfd8c36df42250c128c4ad9f4a2c0c\",0,\"lean_workbook_plus_38413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155470,
+      "path": "data/train/p12/goedel_workbook-000764-0000-fcac0e0e7935240b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "fcac0e0e7935240b0a179d56506d1593a209f55d794298c46666ace4c761a66a"
+    },
+    {
+      "bytes": 44898,
+      "path": "data/dev/p12/goedel_workbook-000764-0000-4252561da0e945c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4252561da0e945c2905539fa62cbd3c1a83ce3b10821d5999c5357997a3bd5a1"
+    },
+    {
+      "bytes": 75430,
+      "path": "data/internal_test/p12/goedel_workbook-000764-0000-ab91ea368193f891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ab91ea368193f891f820c112ad78b325ee245b1fdc302db118279bcf490f78d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000765.json b/manifests/batches/goedel_workbook/000765.json
index d0ee2cdd85302817955a75087a2796efaa23a07d..cc9ddbe2660113f4183d4e3d760f10a7d33710b3 100644
--- a/manifests/batches/goedel_workbook/000765.json
+++ b/manifests/batches/goedel_workbook/000765.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000765",
   "batch_fingerprint": "74eb85ad81c4532c3590d2733c8158c0c6ea03da81fde6f353576eaeae5d881d",
   "evidence": {
@@ -101,29 +100,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000765-0000-fb14056dc3cb42de.parquet",
-      "sha256": "fb14056dc3cb42de8a93d58672cbe484e29f801a969bd6187f9a3da4f51a8b11",
-      "bytes": 161417,
-      "rows": 34,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000765-0000-1bb98a7e05136fbe.parquet",
-      "sha256": "1bb98a7e05136fbecb53e2246740c6b622379879d38a085d3323447b17040943",
-      "bytes": 41388,
-      "rows": 4,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000765-0000-ae2921c4d7bede4c.parquet",
-      "sha256": "ae2921c4d7bede4c9469c7ceea6d3fec997626dc5ad58768e7ed7f3150410b9a",
-      "bytes": 73951,
-      "rows": 12,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38417",
     "goedel_workbook:lean_workbook_plus_38418",
@@ -169,5 +146,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019147.lean\",\"367d93adc4e5fa90533eb3093ff192818bffa1e5c1bda506f9fa7d8af9bb84cc\",0,\"lean_workbook_plus_38517\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019148.lean\",\"eb2ae25afa1263bb836cfd4f2b1753efa311c72dba612e476a100bcb3d4f6e73\",0,\"lean_workbook_plus_38518\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019149.lean\",\"dee3bb79984cbfa1b6616cb64ba46a38a36e65f131d4f5fd8fa6841cfd665beb\",0,\"lean_workbook_plus_38519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161417,
+      "path": "data/train/pde/goedel_workbook-000765-0000-fb14056dc3cb42de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fb14056dc3cb42de8a93d58672cbe484e29f801a969bd6187f9a3da4f51a8b11"
+    },
+    {
+      "bytes": 41388,
+      "path": "data/dev/pde/goedel_workbook-000765-0000-1bb98a7e05136fbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1bb98a7e05136fbecb53e2246740c6b622379879d38a085d3323447b17040943"
+    },
+    {
+      "bytes": 73951,
+      "path": "data/internal_test/pde/goedel_workbook-000765-0000-ae2921c4d7bede4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ae2921c4d7bede4c9469c7ceea6d3fec997626dc5ad58768e7ed7f3150410b9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000766.json b/manifests/batches/goedel_workbook/000766.json
index 6b77ce44c7bcb752ff25dc07a801b3eb85ccbbb4..c0d6faa08fa6d61b3c71c31066467489343a3b3c 100644
--- a/manifests/batches/goedel_workbook/000766.json
+++ b/manifests/batches/goedel_workbook/000766.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000766",
   "batch_fingerprint": "d4313743ae3d5326e771562f251ed5fed5b2f2e8e59ecb1166702df1efc73e8e",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000766-0000-30d6459b7be2522a.parquet",
-      "sha256": "30d6459b7be2522a7cb9da5915136387dba59f03bcf4b0ae228a04ab237c3f05",
-      "bytes": 103759,
-      "rows": 28,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000766-0000-d514e5b756b530b6.parquet",
-      "sha256": "d514e5b756b530b6725a212a8f162dd3642b174ef6fb4fe171a51136e5e865a8",
-      "bytes": 34107,
-      "rows": 2,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38522",
     "goedel_workbook:lean_workbook_plus_38524",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019171.lean\",\"8881f1b20d5fa8da58d7f1e732ad571ba7b545d15a31448bcac3f8e90055b3ac\",0,\"lean_workbook_plus_38640\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019172.lean\",\"7be097fd1baf0e4d59fdfe31e8d3aa9c080e8bf9f16697b7192f0b7563f011ff\",0,\"lean_workbook_plus_38642\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019173.lean\",\"45eed3b0f5f273755c2dd1f7bcb74bcad7a33d6f1fceb9f427de7064dc413472\",0,\"lean_workbook_plus_38648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103759,
+      "path": "data/train/pce/goedel_workbook-000766-0000-30d6459b7be2522a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "30d6459b7be2522a7cb9da5915136387dba59f03bcf4b0ae228a04ab237c3f05"
+    },
+    {
+      "bytes": 34107,
+      "path": "data/internal_test/pce/goedel_workbook-000766-0000-d514e5b756b530b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d514e5b756b530b6725a212a8f162dd3642b174ef6fb4fe171a51136e5e865a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000767.json b/manifests/batches/goedel_workbook/000767.json
index c440648f01fb586ad80b3c07cd4ea8a523572a3c..78510bb491f3fe565965be6148b5219d8274c225 100644
--- a/manifests/batches/goedel_workbook/000767.json
+++ b/manifests/batches/goedel_workbook/000767.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000767",
   "batch_fingerprint": "a76ab0cdb6272bbd78d1b1953b2e7e3424ac66a963818cb8402952f50ed1e07e",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000767-0000-c7e1cb83d3014f32.parquet",
-      "sha256": "c7e1cb83d3014f32a1e500ba8e4845cb5d16c63cd2b4efbfd8e4ce84665730f1",
-      "bytes": 195359,
-      "rows": 54,
-      "revision": "ae37cc3364abbd5ca4cad9855a9df3de36e479c8"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000767-0000-a978c506d1fa5444.parquet",
-      "sha256": "a978c506d1fa5444edf65417ba62083fc24d2980fe939824799a4cedfdd7ffcc",
-      "bytes": 34213,
-      "rows": 2,
-      "revision": "ae37cc3364abbd5ca4cad9855a9df3de36e479c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38660",
     "goedel_workbook:lean_workbook_plus_38668",
@@ -234,5 +218,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019197.lean\",\"35b03981d60d2e4a555125bb69a589f6853434347e3e2f76af93dcae90778878\",0,\"lean_workbook_plus_38761\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019198.lean\",\"7793bae078031d987aa5725a2e4b452eb2466e5499203fb9734723822e6b86ae\",0,\"lean_workbook_plus_38763\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019199.lean\",\"64868a2345225265679027918e9f2f372f683d27c472b67d557e1bac406afe58\",0,\"lean_workbook_plus_38764\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195359,
+      "path": "data/train/p7e/goedel_workbook-000767-0000-c7e1cb83d3014f32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "c7e1cb83d3014f32a1e500ba8e4845cb5d16c63cd2b4efbfd8e4ce84665730f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000768.json b/manifests/batches/goedel_workbook/000768.json
index c866a7ba8330d8c7448303ed2a133b861e26bb45..dcaa791cb4b7767613c05429480019401fcc4698 100644
--- a/manifests/batches/goedel_workbook/000768.json
+++ b/manifests/batches/goedel_workbook/000768.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000768",
   "batch_fingerprint": "8f2a4554227c2c4e90375e6798800bc5fc82547c3ac41b3b758f79bc4ccfd74e",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000768-0000-0db3ed883f2cb515.parquet",
-      "sha256": "0db3ed883f2cb5150b3083651272d758da9826291106616c6d74180b621fa2bd",
-      "bytes": 178891,
-      "rows": 42,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000768-0000-96eb2a617de74446.parquet",
-      "sha256": "96eb2a617de74446d764463b19313e8b147841b59ed0a3a7df58459ef6acd2c3",
-      "bytes": 34489,
-      "rows": 2,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000768-0000-60dcb883624ea0bb.parquet",
-      "sha256": "60dcb883624ea0bbec96bc20d71d4da8c58c6b1e3e572d8382c759e9f668347a",
-      "bytes": 36584,
-      "rows": 3,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38768",
     "goedel_workbook:lean_workbook_plus_38775",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019222.lean\",\"4886f2957543ba0f8c1f79cc51095314f4ff1a427123ef149a606f3b48296fff\",0,\"lean_workbook_plus_38893\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019223.lean\",\"d7169ce6a3c4524ef4c83100840ee8fca8627b9454bd906ca2d6584edd1e52f6\",0,\"lean_workbook_plus_38894\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019224.lean\",\"aff0e35792e4ecbbacd6c2eab6bcfd260763ab75082613c2120dbed01e2f2313\",0,\"lean_workbook_plus_38899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178891,
+      "path": "data/train/p18/goedel_workbook-000768-0000-0db3ed883f2cb515.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "0db3ed883f2cb5150b3083651272d758da9826291106616c6d74180b621fa2bd"
+    },
+    {
+      "bytes": 34489,
+      "path": "data/dev/p18/goedel_workbook-000768-0000-96eb2a617de74446.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "96eb2a617de74446d764463b19313e8b147841b59ed0a3a7df58459ef6acd2c3"
+    },
+    {
+      "bytes": 36584,
+      "path": "data/internal_test/p18/goedel_workbook-000768-0000-60dcb883624ea0bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "60dcb883624ea0bbec96bc20d71d4da8c58c6b1e3e572d8382c759e9f668347a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000769.json b/manifests/batches/goedel_workbook/000769.json
index 710f623a34701f61640f1d085de106f4f4285aff..9ba91601446bda3459799fc9fdd29a3d725dbcc8 100644
--- a/manifests/batches/goedel_workbook/000769.json
+++ b/manifests/batches/goedel_workbook/000769.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000769",
   "batch_fingerprint": "577a9638162e2bde5010117ae6f8170c6020a56859ffeaa6f5e9f3d30b21b042",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000769-0000-6c6d973435570dc6.parquet",
-      "sha256": "6c6d973435570dc610e92f80ab795289c5ae0135f48e393d013a18193718e28b",
-      "bytes": 113996,
-      "rows": 31,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000769-0000-b390c9a0c25492d8.parquet",
-      "sha256": "b390c9a0c25492d88c7a50d018e9fe40eabd02d717f2ba108d90a3aaf0a68f6b",
-      "bytes": 46292,
-      "rows": 5,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000769-0000-25cec045ce34a3ca.parquet",
-      "sha256": "25cec045ce34a3caec774f20061d2f873cdc68572eed0542a5792fcd5be16f17",
-      "bytes": 55692,
-      "rows": 11,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3890",
     "goedel_workbook:lean_workbook_plus_38906",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019245.lean\",\"94fbf19d9f383846c56f76a55e99165bafb4e19aa58613cc471951b19ab8ae26\",0,\"lean_workbook_plus_3897\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019246.lean\",\"446e7d33ef2bc5d5c8a7bbc2b51d31e63c6b7b1433c1371bb514f9155a0cf7d4\",0,\"lean_workbook_plus_38975\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019248.lean\",\"1982eab784ee67318a0d2b9e01d9409f5e122b5ece1ab5854aec43ae505bd292\",0,\"lean_workbook_plus_38981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113996,
+      "path": "data/train/p47/goedel_workbook-000769-0000-6c6d973435570dc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6c6d973435570dc610e92f80ab795289c5ae0135f48e393d013a18193718e28b"
+    },
+    {
+      "bytes": 46292,
+      "path": "data/dev/p47/goedel_workbook-000769-0000-b390c9a0c25492d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b390c9a0c25492d88c7a50d018e9fe40eabd02d717f2ba108d90a3aaf0a68f6b"
+    },
+    {
+      "bytes": 55692,
+      "path": "data/internal_test/p47/goedel_workbook-000769-0000-25cec045ce34a3ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "25cec045ce34a3caec774f20061d2f873cdc68572eed0542a5792fcd5be16f17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000770.json b/manifests/batches/goedel_workbook/000770.json
index 807456fd8a60c7c717b16738f4572ed64d31be82..26738bbb18496f063a1ebc391858b1916a1df568 100644
--- a/manifests/batches/goedel_workbook/000770.json
+++ b/manifests/batches/goedel_workbook/000770.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000770",
   "batch_fingerprint": "1c954a6e73d7f644920bad5369a9145f08363b6ea8464719fc3340f4349d401b",
   "evidence": {
@@ -91,15 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000770-0000-62ebdccc91b89425.parquet",
-      "sha256": "62ebdccc91b89425ba8c629c7d5c21989b0bd29753f494940f2d769d286dcc10",
-      "bytes": 201858,
-      "rows": 55,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_38989",
     "goedel_workbook:lean_workbook_plus_38993",
@@ -145,5 +136,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019272.lean\",\"2fecdd1f13d4e4a89fd030ecdadf281b338b467538a9b109cd122d9652f4eda0\",0,\"lean_workbook_plus_39061\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019273.lean\",\"69bd5e99bbbb2ddfec92a1a9d63fa051545d62b3eb098f98f3018b2e5a1f4732\",0,\"lean_workbook_plus_39062\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019274.lean\",\"9b6b395a427c7e0ec9568d2e37f8c985e45b72aace57f199342103212cbfc908\",0,\"lean_workbook_plus_3907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201858,
+      "path": "data/train/p09/goedel_workbook-000770-0000-62ebdccc91b89425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "62ebdccc91b89425ba8c629c7d5c21989b0bd29753f494940f2d769d286dcc10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000771.json b/manifests/batches/goedel_workbook/000771.json
index c77530521e558986c1d29646028bc4b3b1254dea..02e50f5b144c409bec2337cec8c4749a72b10b0b 100644
--- a/manifests/batches/goedel_workbook/000771.json
+++ b/manifests/batches/goedel_workbook/000771.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000771",
   "batch_fingerprint": "13c7c5a9cbf3acb80df2907f2fa76214a575c836127294c267a4b448563b8c8a",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000771-0000-1566489cdbb964d8.parquet",
-      "sha256": "1566489cdbb964d85b3c5f1de24cd2f1f722bd27b55354a1729e1d26daf5c53b",
-      "bytes": 196102,
-      "rows": 55,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000771-0000-a324a75ab34def03.parquet",
-      "sha256": "a324a75ab34def0318bd1c54ac0ffe9fc6932e8a44a7ee8f1c08031ee155ae59",
-      "bytes": 35453,
-      "rows": 2,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_3908",
     "goedel_workbook:lean_workbook_plus_3909",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019294.lean\",\"a19d904cda200db06fdf3416b6b66d42a30895c684085b94d5d10f24088c2ef5\",0,\"lean_workbook_plus_3916\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019296.lean\",\"8f775f73fe5a4c40f39f91e1d226622dafa7c2905a42cd3aaa54acbe626c087a\",0,\"lean_workbook_plus_39163\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019297.lean\",\"4ec7b3a428ead36265a109a7a9325c5fbcce260b23a72e476e519b43a8cd47a0\",0,\"lean_workbook_plus_39168\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196102,
+      "path": "data/train/p62/goedel_workbook-000771-0000-1566489cdbb964d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "1566489cdbb964d85b3c5f1de24cd2f1f722bd27b55354a1729e1d26daf5c53b"
+    },
+    {
+      "bytes": 35453,
+      "path": "data/internal_test/p62/goedel_workbook-000771-0000-a324a75ab34def03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a324a75ab34def0318bd1c54ac0ffe9fc6932e8a44a7ee8f1c08031ee155ae59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000772.json b/manifests/batches/goedel_workbook/000772.json
index 92240f684fcc03715875c6ce5274cb667461c54b..ef66779815e1a3886ba4544663b64e767a5b5f09 100644
--- a/manifests/batches/goedel_workbook/000772.json
+++ b/manifests/batches/goedel_workbook/000772.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000772",
   "batch_fingerprint": "469d212f0079d50877335b82f4fa94d67e5d0fa1a5ff1784bff3c79fcab80865",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000772-0000-d233474462cdccd3.parquet",
-      "sha256": "d233474462cdccd36b700a16ef996fee8f2c2c17ac1e5fe2dfc8a74117c84a5d",
-      "bytes": 112461,
-      "rows": 30,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000772-0000-44cd973b0ccde85f.parquet",
-      "sha256": "44cd973b0ccde85f434957e4d5b6c894c5b209c17a5f0863e4588806609ac50f",
-      "bytes": 38952,
-      "rows": 3,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000772-0000-ed33644d571e905a.parquet",
-      "sha256": "ed33644d571e905a91de35b67b38267a3f323f7b7c9e54bdde6b49b5ecdfede6",
-      "bytes": 36600,
-      "rows": 7,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39175",
     "goedel_workbook:lean_workbook_plus_3918",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019320.lean\",\"4d9b5701cdbb2f587a492af2cb740da9fe9e594552e82b371912ea78273f5010\",0,\"lean_workbook_plus_39270\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019322.lean\",\"26ccbcfc416529b2ed08d57674842b6ec09e55a947ee73996342e25104e22a4a\",0,\"lean_workbook_plus_39282\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019324.lean\",\"d1c30e6bcfa388812b3c71980a31699d102e3566bb5eb207bb91127f515ceecc\",0,\"lean_workbook_plus_39297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112461,
+      "path": "data/train/p93/goedel_workbook-000772-0000-d233474462cdccd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d233474462cdccd36b700a16ef996fee8f2c2c17ac1e5fe2dfc8a74117c84a5d"
+    },
+    {
+      "bytes": 38952,
+      "path": "data/dev/p93/goedel_workbook-000772-0000-44cd973b0ccde85f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "44cd973b0ccde85f434957e4d5b6c894c5b209c17a5f0863e4588806609ac50f"
+    },
+    {
+      "bytes": 36600,
+      "path": "data/internal_test/p93/goedel_workbook-000772-0000-ed33644d571e905a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ed33644d571e905a91de35b67b38267a3f323f7b7c9e54bdde6b49b5ecdfede6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000773.json b/manifests/batches/goedel_workbook/000773.json
index 1573ca8a9e89192e5684fbcd09ced848cf7be94c..5e92ae1c85e859b662c98f72195307de00d570f3 100644
--- a/manifests/batches/goedel_workbook/000773.json
+++ b/manifests/batches/goedel_workbook/000773.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000773",
   "batch_fingerprint": "c0d185542ce4c0791be705fc7cfb3c0a6fc2cf1fc9d0d3cf4c135f05f63fa782",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000773-0000-c3b80fa97fd12555.parquet",
-      "sha256": "c3b80fa97fd125554816bbc7f4c56f264bc378df025b7fb10d6d62a619148506",
-      "bytes": 100265,
-      "rows": 21,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000773-0000-69259b51aee23fa4.parquet",
-      "sha256": "69259b51aee23fa4d6542cfa0c1296ad8c33fc0affd8d8bb617b2697a3b72b19",
-      "bytes": 36429,
-      "rows": 3,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39298",
     "goedel_workbook:lean_workbook_plus_3931",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019346.lean\",\"c80829903590226e58ac95636478927982c612063af97b1ce4c87041ff010c84\",0,\"lean_workbook_plus_39386\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019348.lean\",\"6571e103d7521c938cf2374cec530148bfa8596a85d42b691fc159b7c893def1\",0,\"lean_workbook_plus_39393\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019349.lean\",\"510c69a254586b0fd0116c93801ab8aea0165046324f5b6051cc0e00f9baa099\",0,\"lean_workbook_plus_39394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100265,
+      "path": "data/train/p66/goedel_workbook-000773-0000-c3b80fa97fd12555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c3b80fa97fd125554816bbc7f4c56f264bc378df025b7fb10d6d62a619148506"
+    },
+    {
+      "bytes": 36429,
+      "path": "data/dev/p66/goedel_workbook-000773-0000-69259b51aee23fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "69259b51aee23fa4d6542cfa0c1296ad8c33fc0affd8d8bb617b2697a3b72b19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000774.json b/manifests/batches/goedel_workbook/000774.json
index a77a0e4b28fd2eb9940ca68c03ceb9ddeb0bd3d3..af66763352091c126a09d5d8262f6e60aac0f740 100644
--- a/manifests/batches/goedel_workbook/000774.json
+++ b/manifests/batches/goedel_workbook/000774.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000774",
   "batch_fingerprint": "0cb49b674e606ce8eeec5ad965ecf620c7715f57bdc3404d12b2215b3554fd7d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000774-0000-a31d388282de6cfa.parquet",
-      "sha256": "a31d388282de6cfa4e153300e7e4dc4dcbff339945b5b570db309f78aa53f7b0",
-      "bytes": 99115,
-      "rows": 24,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000774-0000-98362843bf1972b4.parquet",
-      "sha256": "98362843bf1972b4bea7c320fdec317f72d4678c54b8beddc184047b80890846",
-      "bytes": 62680,
-      "rows": 6,
-      "revision": "1b4dedba236ce696b50eaa8bfd56546ea5855723"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39398",
     "goedel_workbook:lean_workbook_plus_3940",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019372.lean\",\"153d9fe8be3ffb7193a637960759f5251b0f59626d6150d41548891cc8d222f4\",0,\"lean_workbook_plus_39488\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019373.lean\",\"8beebf3c79136e2bcd1ccab27e8b18a3edf75875e5d42cf7aef328e99dbf6051\",0,\"lean_workbook_plus_39494\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019374.lean\",\"2811ca77e318fd1d03e55eea1cb1da3a51e7e61408cfc0ba433f84f4e9ae3b5e\",0,\"lean_workbook_plus_39497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99115,
+      "path": "data/train/p81/goedel_workbook-000774-0000-a31d388282de6cfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a31d388282de6cfa4e153300e7e4dc4dcbff339945b5b570db309f78aa53f7b0"
+    },
+    {
+      "bytes": 62680,
+      "path": "data/internal_test/p81/goedel_workbook-000774-0000-98362843bf1972b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "98362843bf1972b4bea7c320fdec317f72d4678c54b8beddc184047b80890846"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000775.json b/manifests/batches/goedel_workbook/000775.json
index a9d5aacd644b46a217e4e779d32fbaaa59dfbbc2..e69d4b73f5fe352aadb50f22e8d374ac7ad3a77f 100644
--- a/manifests/batches/goedel_workbook/000775.json
+++ b/manifests/batches/goedel_workbook/000775.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000775",
   "batch_fingerprint": "aa223f5f8876ddef5d4e2b7aa2245726d3d66406336db2cb916a285fbaff627f",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000775-0000-86d46f76944047c8.parquet",
-      "sha256": "86d46f76944047c87b4ad1efc81e8f870a907d5a727f4a5e5571574be6ec17c7",
-      "bytes": 119293,
-      "rows": 26,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000775-0000-7cb330dc1bf9030c.parquet",
-      "sha256": "7cb330dc1bf9030ccbfbb3fd655bcfa82518e84d09f14cf594c544c52a067cc9",
-      "bytes": 34364,
-      "rows": 2,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39498",
     "goedel_workbook:lean_workbook_plus_3950",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019395.lean\",\"822822c07a8bccd996a888e29f7fec4b0a34b9b137ea91b24483238ef4094284\",0,\"lean_workbook_plus_39579\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019396.lean\",\"a225293d2c8f7901c91093db948bc7326ace4778a4292946c2eb8c59a3d62af1\",0,\"lean_workbook_plus_39587\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019398.lean\",\"b97b6af905a58365c477ad6ffb7ff1e9076ece674b1d28fd8b24e071eebbb622\",0,\"lean_workbook_plus_39589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119293,
+      "path": "data/train/pd6/goedel_workbook-000775-0000-86d46f76944047c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "86d46f76944047c87b4ad1efc81e8f870a907d5a727f4a5e5571574be6ec17c7"
+    },
+    {
+      "bytes": 34364,
+      "path": "data/internal_test/pd6/goedel_workbook-000775-0000-7cb330dc1bf9030c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cb330dc1bf9030ccbfbb3fd655bcfa82518e84d09f14cf594c544c52a067cc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000776.json b/manifests/batches/goedel_workbook/000776.json
index ad7e0f74835c6f59317d0369dce685dc047debd9..0755b025b24d9628e261b9ca417f33acb8a52652 100644
--- a/manifests/batches/goedel_workbook/000776.json
+++ b/manifests/batches/goedel_workbook/000776.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000776",
   "batch_fingerprint": "9aa848149d9b50dfbe56fab8a19effccad36bf7dfe31d288753d23f5098cadad",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000776-0000-5fabc014658ed3ca.parquet",
-      "sha256": "5fabc014658ed3ca23c206dbae82803977de74b46dff0d1bd435d26783ef6e72",
-      "bytes": 123741,
-      "rows": 31,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39592",
     "goedel_workbook:lean_workbook_plus_39594",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019418.lean\",\"7599c6dfb5baa0ad8f054dbea53923778b6430b1df8880ac0ba5f6d903ee8314\",0,\"lean_workbook_plus_39680\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019421.lean\",\"cdc91ffa174db45d56843912ff4d7d9f37131fe5abf764d622ea81574d925704\",0,\"lean_workbook_plus_39686\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019424.lean\",\"0967d8e6bed6d6d13559fb5259d740272f01637781cc07a87dc45ef637342783\",0,\"lean_workbook_plus_39695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123741,
+      "path": "data/train/p6d/goedel_workbook-000776-0000-5fabc014658ed3ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5fabc014658ed3ca23c206dbae82803977de74b46dff0d1bd435d26783ef6e72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000777.json b/manifests/batches/goedel_workbook/000777.json
index e1256f57f43d05550bf4f94e3cc9a9f85aad36b4..5e2e437bbe6dba51d7dbb9eb8aafaf3c94835454 100644
--- a/manifests/batches/goedel_workbook/000777.json
+++ b/manifests/batches/goedel_workbook/000777.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000777",
   "batch_fingerprint": "cbbff9b9df32db21f3fd73a872e6113b77b9eb61d80a4713e7cf9c1c0d38032d",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000777-0000-dc649d631fffbb60.parquet",
-      "sha256": "dc649d631fffbb6053bc03bbc4018e3d930718c22c3f561120ab89ad18e4eadf",
-      "bytes": 128434,
-      "rows": 26,
-      "revision": "0bb4a9bc1cbdcb03449c45ac1a8140da85e8993b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000777-0000-8c414bad03d1d22b.parquet",
-      "sha256": "8c414bad03d1d22bd7d37b57fd4d79cc54e010b105796cb4bf4528d33166f738",
-      "bytes": 40445,
-      "rows": 4,
-      "revision": "0bb4a9bc1cbdcb03449c45ac1a8140da85e8993b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39714",
     "goedel_workbook:lean_workbook_plus_39716",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019445.lean\",\"f975f4538c2abfefdcf148dc3a538048411f63b80820a299925ea675f42f2308\",0,\"lean_workbook_plus_39783\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019447.lean\",\"c80d72a1f6668da6da96dc05ed3b001fa7f9bfc02840d28ebd99e855f4f5099b\",0,\"lean_workbook_plus_39790\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019449.lean\",\"e2190af53187955d559bd2a466245b9a4f721a4821fe38839ccfa338101bb3c0\",0,\"lean_workbook_plus_39800\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128434,
+      "path": "data/train/pb0/goedel_workbook-000777-0000-dc649d631fffbb60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "dc649d631fffbb6053bc03bbc4018e3d930718c22c3f561120ab89ad18e4eadf"
+    },
+    {
+      "bytes": 40445,
+      "path": "data/internal_test/pb0/goedel_workbook-000777-0000-8c414bad03d1d22b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8c414bad03d1d22bd7d37b57fd4d79cc54e010b105796cb4bf4528d33166f738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000778.json b/manifests/batches/goedel_workbook/000778.json
index c2758c964e89bb87cc3c8033a8844d6f397c97b9..80a523aaa6554348412b4d386395ed207f4c58af 100644
--- a/manifests/batches/goedel_workbook/000778.json
+++ b/manifests/batches/goedel_workbook/000778.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000778",
   "batch_fingerprint": "e6df408bf1a3ed8a458f48f4fbdc41ce8050801f3a803d7b5ffb589af9c93fd4",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000778-0000-6cae6bfe79d8869b.parquet",
-      "sha256": "6cae6bfe79d8869b558e6aabcb7157788f066e61d755dd378226f45eed8d79f3",
-      "bytes": 148419,
-      "rows": 27,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000778-0000-154db62149ca9dfe.parquet",
-      "sha256": "154db62149ca9dfe40d1d2309c509960f617fe469b342e67aab22baed0089ecf",
-      "bytes": 90906,
-      "rows": 18,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39819",
     "goedel_workbook:lean_workbook_plus_3982",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019472.lean\",\"c604d2487cf3b93cdd9e940664530c7d2d649e7abea557ac1c40dd4ad4e3b6c3\",0,\"lean_workbook_plus_39884\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019473.lean\",\"821bce4fcbfb562b907e081e4ca27a099a9414a2425b687ab185bf6349ae3dbb\",0,\"lean_workbook_plus_39886\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019474.lean\",\"97e539851a1fea240014269c93d2a153c4ca9e8d33b1f32405ed620a3b9c305c\",0,\"lean_workbook_plus_39891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148419,
+      "path": "data/train/pbe/goedel_workbook-000778-0000-6cae6bfe79d8869b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "6cae6bfe79d8869b558e6aabcb7157788f066e61d755dd378226f45eed8d79f3"
+    },
+    {
+      "bytes": 90906,
+      "path": "data/internal_test/pbe/goedel_workbook-000778-0000-154db62149ca9dfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "154db62149ca9dfe40d1d2309c509960f617fe469b342e67aab22baed0089ecf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000779.json b/manifests/batches/goedel_workbook/000779.json
index e7105e4a82ab2b2bfbb6037720ac1d11f6f4001f..a2e5b4a29c3d8f1723131832d419c211e0a6fa52 100644
--- a/manifests/batches/goedel_workbook/000779.json
+++ b/manifests/batches/goedel_workbook/000779.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000779",
   "batch_fingerprint": "2be5f37289b39ad82f4ef7245ce0485aa9921618b9de17d4d778a4fcbf140004",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000779-0000-158fa85a3eb9577a.parquet",
-      "sha256": "158fa85a3eb9577a1dd307bb90caf45e665478723ab63976bf00009de85c6af5",
-      "bytes": 160523,
-      "rows": 39,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000779-0000-9bbcc5608d72e4c0.parquet",
-      "sha256": "9bbcc5608d72e4c03e207e0bd61970fe15a45effdade62caa7094718f2a357e5",
-      "bytes": 43349,
-      "rows": 5,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_39893",
     "goedel_workbook:lean_workbook_plus_39894",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019496.lean\",\"82c19ae4e1941fca08cf8492856b8af7c1dad601ec53ca40b88c7052bbb33d40\",0,\"lean_workbook_plus_40015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019497.lean\",\"c40eb7ae964f3004326f7224bcaa1c8d2b90f0f007f147ad07aec8a7a44cfe96\",0,\"lean_workbook_plus_40017\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019498.lean\",\"93750f953938c72add0bb865f3bba8a1454468dea2d326cec1b1ee1f435b4591\",0,\"lean_workbook_plus_40018\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160523,
+      "path": "data/train/p26/goedel_workbook-000779-0000-158fa85a3eb9577a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "158fa85a3eb9577a1dd307bb90caf45e665478723ab63976bf00009de85c6af5"
+    },
+    {
+      "bytes": 43349,
+      "path": "data/internal_test/p26/goedel_workbook-000779-0000-9bbcc5608d72e4c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9bbcc5608d72e4c03e207e0bd61970fe15a45effdade62caa7094718f2a357e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000780.json b/manifests/batches/goedel_workbook/000780.json
index 2f0dd16245ff0c74cef6eaa1da341582458099e3..b22de89577ed50bbdff296aa8390e500cc12c97f 100644
--- a/manifests/batches/goedel_workbook/000780.json
+++ b/manifests/batches/goedel_workbook/000780.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000780",
   "batch_fingerprint": "08ff5381c4963c21e02e294d3676f679b376bbbc1c24c11f9df17fcaded88e95",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000780-0000-34ac3c63ae7007d3.parquet",
-      "sha256": "34ac3c63ae7007d35f91ebe661c18c371033723aac8ad0d5f442e2895a108b83",
-      "bytes": 103107,
-      "rows": 27,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000780-0000-50f749b7abe56525.parquet",
-      "sha256": "50f749b7abe565252469b4ce2adee8d38e8a24b2c8c52c9bee195c6e7d6e58c4",
-      "bytes": 52999,
-      "rows": 7,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000780-0000-108d56ac5ec54021.parquet",
-      "sha256": "108d56ac5ec540219eb418886e0b41cb365365aa76ba2f6352fad2b05216168b",
-      "bytes": 37916,
-      "rows": 4,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40040",
     "goedel_workbook:lean_workbook_plus_40051",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019516.lean\",\"4e6192ef595a0a341cdb8603d7688a6981611911dfc1d23458dd33327438d881\",0,\"lean_workbook_plus_40086\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019519.lean\",\"c387dc52a74cab448d753a3da7d9606aa07cf670591716f598a62de3251bef9b\",0,\"lean_workbook_plus_40093\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019524.lean\",\"84ae1cccd71325dce8027bc3ec782f362b0cb414cfd4cb5af262a88bf64c036a\",0,\"lean_workbook_plus_4012\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103107,
+      "path": "data/train/pff/goedel_workbook-000780-0000-34ac3c63ae7007d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "34ac3c63ae7007d35f91ebe661c18c371033723aac8ad0d5f442e2895a108b83"
+    },
+    {
+      "bytes": 52999,
+      "path": "data/dev/pff/goedel_workbook-000780-0000-50f749b7abe56525.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "50f749b7abe565252469b4ce2adee8d38e8a24b2c8c52c9bee195c6e7d6e58c4"
+    },
+    {
+      "bytes": 37916,
+      "path": "data/internal_test/pff/goedel_workbook-000780-0000-108d56ac5ec54021.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "108d56ac5ec540219eb418886e0b41cb365365aa76ba2f6352fad2b05216168b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000781.json b/manifests/batches/goedel_workbook/000781.json
index 4e651aa6b774d54c7a834c15511b9a6b7c337a73..d676b459a35c8d693c863394163c1ff0ed935193 100644
--- a/manifests/batches/goedel_workbook/000781.json
+++ b/manifests/batches/goedel_workbook/000781.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000781",
   "batch_fingerprint": "6f223c3ac83b98f07ec08fda82f74c5dd8d913cb831e4363a475cdc598e16f23",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000781-0000-84402f4df0de86d5.parquet",
-      "sha256": "84402f4df0de86d5696dc614fec9a518310ec140666b5ae8f500601202c7ab72",
-      "bytes": 144897,
-      "rows": 45,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000781-0000-bacfb2f939026222.parquet",
-      "sha256": "bacfb2f93902622239fbdfb5a7e69f43878e9aa8aeca6c73d7aa22be23731ebe",
-      "bytes": 35334,
-      "rows": 2,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40120",
     "goedel_workbook:lean_workbook_plus_40129",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019547.lean\",\"cf19091f4c0fd3724b9bccd4f3e8362148bae38a76ac29ecccbd5d22d63de894\",0,\"lean_workbook_plus_40204\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019548.lean\",\"6e78e459d37bead154cb4dbf0bbc3118de336d623f8e0ecb56622c8a4d875517\",0,\"lean_workbook_plus_40206\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019549.lean\",\"b6bb10a57cefec0c23541707b3fcc7cde954b43e643be2aec4fff3ff4c7146c5\",0,\"lean_workbook_plus_40208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144897,
+      "path": "data/train/pc2/goedel_workbook-000781-0000-84402f4df0de86d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "84402f4df0de86d5696dc614fec9a518310ec140666b5ae8f500601202c7ab72"
+    },
+    {
+      "bytes": 35334,
+      "path": "data/dev/pc2/goedel_workbook-000781-0000-bacfb2f939026222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bacfb2f93902622239fbdfb5a7e69f43878e9aa8aeca6c73d7aa22be23731ebe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000782.json b/manifests/batches/goedel_workbook/000782.json
index 5bf93cd7e5ba79d6aa720b6a0bf7874319acf501..51c992799ec32bd381315a242522120d8d6d6b67 100644
--- a/manifests/batches/goedel_workbook/000782.json
+++ b/manifests/batches/goedel_workbook/000782.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000782",
   "batch_fingerprint": "8844861c322779e492afc98147af3a2a38ffff12af83005942b3df00b3d3b255",
   "evidence": {
@@ -300,22 +299,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000782-0000-2b889bcb148ba1c3.parquet",
-      "sha256": "2b889bcb148ba1c3893c2f7b6d9bec9312ca840e1e544404d4ded48e4f1fe3b2",
-      "bytes": 93050,
-      "rows": 24,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000782-0000-fac6da834c50f0a7.parquet",
-      "sha256": "fac6da834c50f0a77e4dec55fe0c09f86eb2a379dd6dd6e28cbd0ef068391c91",
-      "bytes": 44266,
-      "rows": 5,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40209",
     "goedel_workbook:lean_workbook_plus_40210",
@@ -339,5 +323,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019570.lean\",\"cc82097a4f97c8ff83f3651b25140af1d39501ae7bd9f2eda47e47e3ab77ca80\",0,\"lean_workbook_plus_40264\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019572.lean\",\"e246c4221a3c56d147e02eb88412df1a589dddc39e7030e6588cda2611588b8e\",0,\"lean_workbook_plus_40273\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019574.lean\",\"46fa3b96344caec8a9d328b8fbec69107707cf13e84fa8f7b4ddd22b0edc0bc9\",0,\"lean_workbook_plus_40279\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93050,
+      "path": "data/train/p69/goedel_workbook-000782-0000-2b889bcb148ba1c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2b889bcb148ba1c3893c2f7b6d9bec9312ca840e1e544404d4ded48e4f1fe3b2"
+    },
+    {
+      "bytes": 44266,
+      "path": "data/internal_test/p69/goedel_workbook-000782-0000-fac6da834c50f0a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fac6da834c50f0a77e4dec55fe0c09f86eb2a379dd6dd6e28cbd0ef068391c91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000783.json b/manifests/batches/goedel_workbook/000783.json
index 5fb93de924974955ec0000eab376b0a59d24ca92..23fd155e06fa69ed80a654b0efac3366eb2616a9 100644
--- a/manifests/batches/goedel_workbook/000783.json
+++ b/manifests/batches/goedel_workbook/000783.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000783",
   "batch_fingerprint": "c62eda0adec8e30ca2836d9480885de459ad5fec57c4bd20d725b390c55330b8",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000783-0000-d25314db8399f99e.parquet",
-      "sha256": "d25314db8399f99e47ac1330bf375449a58e833ce2cd3d879a8a8bb45effa797",
-      "bytes": 113048,
-      "rows": 30,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000783-0000-05e9379ba080ce09.parquet",
-      "sha256": "05e9379ba080ce098a5e141166311290a3fccb30ce9d1b8da5179657f6739843",
-      "bytes": 60186,
-      "rows": 11,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000783-0000-b7fefef3ad2ea96c.parquet",
-      "sha256": "b7fefef3ad2ea96c24b276d57bbe31121d1c9a3af4c7b82df0e6bf5d84d3503e",
-      "bytes": 48735,
-      "rows": 4,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_4028",
     "goedel_workbook:lean_workbook_plus_40283",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019597.lean\",\"2da1bdb742f32848ef7ea671e72e5230e032f94977cfcb517a5507c72e03fd27\",0,\"lean_workbook_plus_40378\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019598.lean\",\"ba65e55b681e5a5ff2069ca76083be18082cae50ea84159f8df5b3d6dd8ae0c3\",0,\"lean_workbook_plus_40379\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019599.lean\",\"8418a228e9eb3b8410a88d5fb98c6475dc6c4284c96863c226bd3ee5113e0525\",0,\"lean_workbook_plus_40380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113048,
+      "path": "data/train/p6b/goedel_workbook-000783-0000-d25314db8399f99e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d25314db8399f99e47ac1330bf375449a58e833ce2cd3d879a8a8bb45effa797"
+    },
+    {
+      "bytes": 60186,
+      "path": "data/dev/p6b/goedel_workbook-000783-0000-05e9379ba080ce09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "05e9379ba080ce098a5e141166311290a3fccb30ce9d1b8da5179657f6739843"
+    },
+    {
+      "bytes": 48735,
+      "path": "data/internal_test/p6b/goedel_workbook-000783-0000-b7fefef3ad2ea96c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b7fefef3ad2ea96c24b276d57bbe31121d1c9a3af4c7b82df0e6bf5d84d3503e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000784.json b/manifests/batches/goedel_workbook/000784.json
index 84693fa910ee8026598b165c74a8575c63d8f8db..6331852b5425e5eab03af485c9354da2512eda1d 100644
--- a/manifests/batches/goedel_workbook/000784.json
+++ b/manifests/batches/goedel_workbook/000784.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000784",
   "batch_fingerprint": "ec65629ac6cee9050283029c47a0b8ae87dac7896a9b80a68a2f3cdada7d1cf6",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000784-0000-4615e4d627563384.parquet",
-      "sha256": "4615e4d6275633845c5af36502a2579470b0017489078c229d917728a09ac6e6",
-      "bytes": 101863,
-      "rows": 30,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000784-0000-d3ed44acc3cea457.parquet",
-      "sha256": "d3ed44acc3cea4573780e7525a90930922072cc9aaf7ba2a1aa18f6ffb1ff66f",
-      "bytes": 30037,
-      "rows": 1,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000784-0000-ec4021af1f1aec93.parquet",
-      "sha256": "ec4021af1f1aec9319d24d634b4e0007409be4431b94f9cee40c95639ae3e956",
-      "bytes": 87958,
-      "rows": 6,
-      "revision": "782d17370cb07881cf014edf3019ef0d0b2f5f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40381",
     "goedel_workbook:lean_workbook_plus_40389",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019621.lean\",\"77fa2aa9f70906411296bd46860434b5551296a5b0dce79b1024acbf5390b1ec\",0,\"lean_workbook_plus_4047\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019622.lean\",\"17d9e6a38992dc64d812983cee95569ee54ec71ba6301c7a32fe71e8d4c5b5cb\",0,\"lean_workbook_plus_4048\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019623.lean\",\"95b096f11636aac75ede92186cee6fc6ff1e8020f0fa397fd29a45b4d69ad72a\",0,\"lean_workbook_plus_40480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101863,
+      "path": "data/train/pc0/goedel_workbook-000784-0000-4615e4d627563384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4615e4d6275633845c5af36502a2579470b0017489078c229d917728a09ac6e6"
+    },
+    {
+      "bytes": 30037,
+      "path": "data/dev/pc0/goedel_workbook-000784-0000-d3ed44acc3cea457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d3ed44acc3cea4573780e7525a90930922072cc9aaf7ba2a1aa18f6ffb1ff66f"
+    },
+    {
+      "bytes": 87958,
+      "path": "data/internal_test/pc0/goedel_workbook-000784-0000-ec4021af1f1aec93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ec4021af1f1aec9319d24d634b4e0007409be4431b94f9cee40c95639ae3e956"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000785.json b/manifests/batches/goedel_workbook/000785.json
index 884b44fb054884f9d723c2e60e36c6375d347eee..5f38c8d0c6106c3f0d2db104e5220a71ac05aeb5 100644
--- a/manifests/batches/goedel_workbook/000785.json
+++ b/manifests/batches/goedel_workbook/000785.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000785",
   "batch_fingerprint": "22637c4451b4728938788a95a72b317424625140ed48f035da6f99e320d62949",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000785-0000-1412369587cad0be.parquet",
-      "sha256": "1412369587cad0bec8c913611a7bba4d99b6b8dc52562917abc08583c006ba83",
-      "bytes": 179651,
-      "rows": 38,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000785-0000-b007439ca57e1448.parquet",
-      "sha256": "b007439ca57e14486c2f63fffa86669460147b5992d106f7c0a072492aa4c878",
-      "bytes": 38669,
-      "rows": 3,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40488",
     "goedel_workbook:lean_workbook_plus_4049",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019644.lean\",\"bd1ad4247918f7d60beacffbe27e9ee6f73f1ea0b4cd90a6028fffa8d1944498\",0,\"lean_workbook_plus_4057\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019645.lean\",\"254dabc16afe69a4c6432f6f25c0dbb4997817121f1298dc474373b676617f8b\",0,\"lean_workbook_plus_40573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019649.lean\",\"198e6c1dd49c0a9068fde8c1cdae5e55f66ee5acbcfb7135d5803a98d3598926\",0,\"lean_workbook_plus_40588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179651,
+      "path": "data/train/p3c/goedel_workbook-000785-0000-1412369587cad0be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "1412369587cad0bec8c913611a7bba4d99b6b8dc52562917abc08583c006ba83"
+    },
+    {
+      "bytes": 38669,
+      "path": "data/internal_test/p3c/goedel_workbook-000785-0000-b007439ca57e1448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b007439ca57e14486c2f63fffa86669460147b5992d106f7c0a072492aa4c878"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000786.json b/manifests/batches/goedel_workbook/000786.json
index 827fdf00f9d7ee243f927cbe6c7a3cb2cbdcc931..9dd4bc3111c536c09723298a7ffa3558bf228f40 100644
--- a/manifests/batches/goedel_workbook/000786.json
+++ b/manifests/batches/goedel_workbook/000786.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000786",
   "batch_fingerprint": "a789f40749e282aa7597a4b03ca5c7d044b700e71312d93c809a327464ca1020",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000786-0000-c5b796fab0e46937.parquet",
-      "sha256": "c5b796fab0e46937489b8f9a958c3a08c67afe369713665cc566a4d8cf1dd132",
-      "bytes": 231887,
-      "rows": 49,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000786-0000-86226f6f18894555.parquet",
-      "sha256": "86226f6f18894555f4d328b39a56efb20e9273513721dbc58adf3f3197032ac6",
-      "bytes": 22398,
-      "rows": 1,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000786-0000-a2f064672455c341.parquet",
-      "sha256": "a2f064672455c341286ef18f2dd07ada28a29d76f96a271137de305986dd07d3",
-      "bytes": 67872,
-      "rows": 9,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40593",
     "goedel_workbook:lean_workbook_plus_40598",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019672.lean\",\"a003280b888b3e42dd7b14cbc1508d7a8708eececc22f15a71ec80ff3fe6c781\",0,\"lean_workbook_plus_40683\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019673.lean\",\"21ac7cce17a9d1645fd3150d2cd78b0f8e4d243658718b2d12689dca51803853\",0,\"lean_workbook_plus_40685\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019674.lean\",\"d65c2cc492a924f629a2dde59acf750f797f93fe1a3943ae603d555a86c2995a\",0,\"lean_workbook_plus_40686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231887,
+      "path": "data/train/p77/goedel_workbook-000786-0000-c5b796fab0e46937.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "c5b796fab0e46937489b8f9a958c3a08c67afe369713665cc566a4d8cf1dd132"
+    },
+    {
+      "bytes": 22398,
+      "path": "data/dev/p77/goedel_workbook-000786-0000-86226f6f18894555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "86226f6f18894555f4d328b39a56efb20e9273513721dbc58adf3f3197032ac6"
+    },
+    {
+      "bytes": 67872,
+      "path": "data/internal_test/p77/goedel_workbook-000786-0000-a2f064672455c341.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a2f064672455c341286ef18f2dd07ada28a29d76f96a271137de305986dd07d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000787.json b/manifests/batches/goedel_workbook/000787.json
index 912b2c91f886f178be84074c35108f8a99b12f70..9eb18c764c34f0ddfb66455a5f8876f6df2fb4dd 100644
--- a/manifests/batches/goedel_workbook/000787.json
+++ b/manifests/batches/goedel_workbook/000787.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000787",
   "batch_fingerprint": "90276e9184933936fa3fb8ee619edcadecabdb8c1bb239947abd4f1349ebb458",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000787-0000-1d4135842688ae1f.parquet",
-      "sha256": "1d4135842688ae1fb64a17e5729055307517a89a961dbdfcaa2bc66a495394ae",
-      "bytes": 167797,
-      "rows": 32,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000787-0000-65267e8db6282f3b.parquet",
-      "sha256": "65267e8db6282f3b6d1f97b227aa88417153bc5e93cbefbc3f5d9470a223dcfc",
-      "bytes": 34427,
-      "rows": 3,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000787-0000-f938e92646a72f18.parquet",
-      "sha256": "f938e92646a72f1883a67ce238fc8c785c69bd401cec71728881af3c874fa2a1",
-      "bytes": 55257,
-      "rows": 10,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40691",
     "goedel_workbook:lean_workbook_plus_40695",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019695.lean\",\"91c6881f2228641e22eb8137ad02ec00701aa30856df5d4536614e9adef71a97\",0,\"lean_workbook_plus_40766\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019696.lean\",\"ad5a05313b73278e194e157c9cfb95122181c42cb23c82b1a2d96f6f9fcba513\",0,\"lean_workbook_plus_40768\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019699.lean\",\"7ae88bb712c6895581024702fed7cb60924d34a4041369846bd49efa1e9cf70a\",0,\"lean_workbook_plus_40798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167797,
+      "path": "data/train/p28/goedel_workbook-000787-0000-1d4135842688ae1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "1d4135842688ae1fb64a17e5729055307517a89a961dbdfcaa2bc66a495394ae"
+    },
+    {
+      "bytes": 34427,
+      "path": "data/dev/p28/goedel_workbook-000787-0000-65267e8db6282f3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "65267e8db6282f3b6d1f97b227aa88417153bc5e93cbefbc3f5d9470a223dcfc"
+    },
+    {
+      "bytes": 55257,
+      "path": "data/internal_test/p28/goedel_workbook-000787-0000-f938e92646a72f18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f938e92646a72f1883a67ce238fc8c785c69bd401cec71728881af3c874fa2a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000788.json b/manifests/batches/goedel_workbook/000788.json
index b00c127b0b5a8b50b67b76969be4ee2f992a408c..b5632507bc3741b77daff05dc9d4528e28a5d0f4 100644
--- a/manifests/batches/goedel_workbook/000788.json
+++ b/manifests/batches/goedel_workbook/000788.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000788",
   "batch_fingerprint": "1ad03824a7d6c1a4f8d80130c6a0194c9981973b4614a7c927f23e1e2c78c5d8",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000788-0000-f4fd071ceb7c55b4.parquet",
-      "sha256": "f4fd071ceb7c55b4d3d2daa39214bc9cba24e8b01bc4fb93f7c1cac855fcfb25",
-      "bytes": 92393,
-      "rows": 25,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000788-0000-3ad3cce026a3f7b4.parquet",
-      "sha256": "3ad3cce026a3f7b48629216ec8564bb91f93f982719a38361ac9780f1feaa320",
-      "bytes": 45687,
-      "rows": 6,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000788-0000-18e846ccacb61377.parquet",
-      "sha256": "18e846ccacb6137749fbf45decc4c2315b8e5626ff6638510735cbc1de472434",
-      "bytes": 65332,
-      "rows": 10,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40803",
     "goedel_workbook:lean_workbook_plus_40812",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019720.lean\",\"80d01b153ab9b9ea862a18de12a0298e8eeca752db2b00352ab6da386e787502\",0,\"lean_workbook_plus_40914\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019722.lean\",\"8320335bc1e81593263360251fd1cea4dbca171acd58ef2c27135c94ee6caf34\",0,\"lean_workbook_plus_40936\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019724.lean\",\"f73bd625d3bde46463e70c3648b207f3c21b6afa0da25aa8a271b0dfadf31258\",0,\"lean_workbook_plus_4094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92393,
+      "path": "data/train/pac/goedel_workbook-000788-0000-f4fd071ceb7c55b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f4fd071ceb7c55b4d3d2daa39214bc9cba24e8b01bc4fb93f7c1cac855fcfb25"
+    },
+    {
+      "bytes": 45687,
+      "path": "data/dev/pac/goedel_workbook-000788-0000-3ad3cce026a3f7b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3ad3cce026a3f7b48629216ec8564bb91f93f982719a38361ac9780f1feaa320"
+    },
+    {
+      "bytes": 65332,
+      "path": "data/internal_test/pac/goedel_workbook-000788-0000-18e846ccacb61377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "18e846ccacb6137749fbf45decc4c2315b8e5626ff6638510735cbc1de472434"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000789.json b/manifests/batches/goedel_workbook/000789.json
index 8dde46cfc972c6d37f042b991d1ee4a2ac27448c..245817c2f7791fa60e86e2483d27a37a544b486b 100644
--- a/manifests/batches/goedel_workbook/000789.json
+++ b/manifests/batches/goedel_workbook/000789.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000789",
   "batch_fingerprint": "1cccd0569fc901e69b6f44391e98a9a56c3e08a8c1ccfcfa340d2fcbbc504d4a",
   "evidence": {
@@ -218,22 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000789-0000-9bbf206118145ae7.parquet",
-      "sha256": "9bbf206118145ae7be9a417a75ad162e3ec6cb41c9c52f630b4ccf0157d9f18f",
-      "bytes": 151856,
-      "rows": 31,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000789-0000-c0ebed64f12a2877.parquet",
-      "sha256": "c0ebed64f12a28778c514f1f7b5f656a5d710888b332fc42c35307cd7276be56",
-      "bytes": 40263,
-      "rows": 4,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_40941",
     "goedel_workbook:lean_workbook_plus_40943",
@@ -265,5 +249,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019744.lean\",\"5e6eac61e2228f915208f9209746acbe70a08e994a7147feae644639266a8c81\",0,\"lean_workbook_plus_40978\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019745.lean\",\"ce8e1e523b06f36985b2e194c02ba5b142605caa3e7e97ae4dc5ca5055a8df7d\",0,\"lean_workbook_plus_40979\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019747.lean\",\"e7b9e69e30e9995f04d3abb020ec4b6f1f44c0717021b995b7534994d23b4a44\",0,\"lean_workbook_plus_40989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151856,
+      "path": "data/train/p77/goedel_workbook-000789-0000-9bbf206118145ae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9bbf206118145ae7be9a417a75ad162e3ec6cb41c9c52f630b4ccf0157d9f18f"
+    },
+    {
+      "bytes": 40263,
+      "path": "data/internal_test/p77/goedel_workbook-000789-0000-c0ebed64f12a2877.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c0ebed64f12a28778c514f1f7b5f656a5d710888b332fc42c35307cd7276be56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000790.json b/manifests/batches/goedel_workbook/000790.json
index 213d1716213bfc1905dccb41644ab97c48580780..2d79ebc1e00ce4e0e96ca1d663730b2e7ceadc29 100644
--- a/manifests/batches/goedel_workbook/000790.json
+++ b/manifests/batches/goedel_workbook/000790.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000790",
   "batch_fingerprint": "d6c8aa52f69dc8d452fbb3c3c902f1a85135bed5bdb434476eec5fae134d8e1d",
   "evidence": {
@@ -191,22 +190,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000790-0000-6fc8597152cdfc32.parquet",
-      "sha256": "6fc8597152cdfc32c1abda59b45f3ac7e19acf614da8bc0db8a735025f21a72f",
-      "bytes": 229570,
-      "rows": 47,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000790-0000-1ecbfde1c9d13df6.parquet",
-      "sha256": "1ecbfde1c9d13df65b328d9b1859f7483b13198ef51d06669dee9c923715c306",
-      "bytes": 26127,
-      "rows": 1,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41001",
     "goedel_workbook:lean_workbook_plus_4104",
@@ -242,5 +226,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019772.lean\",\"b0593ba94e9757e505c2dd236aa3961529fa5d4bb7f2949f001693617199b13e\",0,\"lean_workbook_plus_41127\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019773.lean\",\"3164d787500ca79976a0b30d018d677696246d4876d3c3475af3bcf049f3af7e\",0,\"lean_workbook_plus_41130\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019774.lean\",\"223e36d735b8ae52361d5142139285df129e23db8138c43f79e517a56ad80603\",0,\"lean_workbook_plus_41141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229570,
+      "path": "data/train/pf1/goedel_workbook-000790-0000-6fc8597152cdfc32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "6fc8597152cdfc32c1abda59b45f3ac7e19acf614da8bc0db8a735025f21a72f"
+    },
+    {
+      "bytes": 26127,
+      "path": "data/internal_test/pf1/goedel_workbook-000790-0000-1ecbfde1c9d13df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1ecbfde1c9d13df65b328d9b1859f7483b13198ef51d06669dee9c923715c306"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000791.json b/manifests/batches/goedel_workbook/000791.json
index 07c6022981f50ec35d9cf700fcb2ec148dce2210..e14e117765624f8bce38778f660d18b30abfc085 100644
--- a/manifests/batches/goedel_workbook/000791.json
+++ b/manifests/batches/goedel_workbook/000791.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000791",
   "batch_fingerprint": "27cf759a7bc112093c85eb540ddd3ade3e8ea06a139876e576864857e059185e",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000791-0000-a4f189abef391ea9.parquet",
-      "sha256": "a4f189abef391ea9d05b1f6382dd2708d2f030a8aee3f2739723f3dfb3e33498",
-      "bytes": 114522,
-      "rows": 28,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000791-0000-4596831bb02b7910.parquet",
-      "sha256": "4596831bb02b79105213a8bd4df2958c3752e1b42bd7eec4f02cd968fb54b559",
-      "bytes": 46424,
-      "rows": 5,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41144",
     "goedel_workbook:lean_workbook_plus_41146",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019795.lean\",\"afc3dfe4265f6b65a0d813632d9931016a7f8e758fb84e54aaf2e44294417653\",0,\"lean_workbook_plus_41254\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019797.lean\",\"811b566b0a7fb36c2640c2e0dffb6f166dd434bb4d0de75548951a4b1329a9e7\",0,\"lean_workbook_plus_41278\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019799.lean\",\"5f5b5c340ed5e4129d64063780b10a85d92e6b11394c2c6fc6af8e2060f5c062\",0,\"lean_workbook_plus_41280\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114522,
+      "path": "data/train/p31/goedel_workbook-000791-0000-a4f189abef391ea9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a4f189abef391ea9d05b1f6382dd2708d2f030a8aee3f2739723f3dfb3e33498"
+    },
+    {
+      "bytes": 46424,
+      "path": "data/internal_test/p31/goedel_workbook-000791-0000-4596831bb02b7910.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4596831bb02b79105213a8bd4df2958c3752e1b42bd7eec4f02cd968fb54b559"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000792.json b/manifests/batches/goedel_workbook/000792.json
index e2c7f3bfc9010ee33fa4dfe955377b527338d958..80eb042ef24ae27fe8c65e1e1bb0a433e4d246ce 100644
--- a/manifests/batches/goedel_workbook/000792.json
+++ b/manifests/batches/goedel_workbook/000792.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000792",
   "batch_fingerprint": "2def299b5b27c72684b77e86fd5d4c484a59e96f34f2b0885bc08ae2f407ae68",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000792-0000-b80e165ee3566e5f.parquet",
-      "sha256": "b80e165ee3566e5f35a064c1499bf367431c55919e3e8c61627110b9f62b3b27",
-      "bytes": 92727,
-      "rows": 21,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000792-0000-e42d25a09352b588.parquet",
-      "sha256": "e42d25a09352b588aa2ebda1ce9fce610ad5717eebe3d0fa885301cd69120210",
-      "bytes": 47545,
-      "rows": 5,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000792-0000-f679e1dc23b7997d.parquet",
-      "sha256": "f679e1dc23b7997d7de3be8108bfe049195a243d710a15d2701b81519ecc9de6",
-      "bytes": 42566,
-      "rows": 5,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41286",
     "goedel_workbook:lean_workbook_plus_41292",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019820.lean\",\"0d9a5778a0fbf2881c5623e31a6d31f88b6b7e34322ae840d2f7ce47cf80b769\",0,\"lean_workbook_plus_41396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019821.lean\",\"969fb72c06c3febb48484f6fed7c891b523934506d854512f8f271a463d9c9dc\",0,\"lean_workbook_plus_41407\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019822.lean\",\"f976de6b8db150c51e69bbbc473650b61b933aedbdcc1dc79dc4236c7c2a7127\",0,\"lean_workbook_plus_41409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92727,
+      "path": "data/train/p8b/goedel_workbook-000792-0000-b80e165ee3566e5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b80e165ee3566e5f35a064c1499bf367431c55919e3e8c61627110b9f62b3b27"
+    },
+    {
+      "bytes": 47545,
+      "path": "data/dev/p8b/goedel_workbook-000792-0000-e42d25a09352b588.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e42d25a09352b588aa2ebda1ce9fce610ad5717eebe3d0fa885301cd69120210"
+    },
+    {
+      "bytes": 42566,
+      "path": "data/internal_test/p8b/goedel_workbook-000792-0000-f679e1dc23b7997d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f679e1dc23b7997d7de3be8108bfe049195a243d710a15d2701b81519ecc9de6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000793.json b/manifests/batches/goedel_workbook/000793.json
index 87b6b1a7d5ab54dbd2483743f1a1bcd9257f5bbf..fc9a36155aeddecf36e67b4062e5fa26015c39ad 100644
--- a/manifests/batches/goedel_workbook/000793.json
+++ b/manifests/batches/goedel_workbook/000793.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000793",
   "batch_fingerprint": "0fedd106492c940e432738f2caa27f298d543387bd968d46746b417d93aa593e",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000793-0000-4f591218440e3e93.parquet",
-      "sha256": "4f591218440e3e93483c5d8ca8aa00d7b4ccdae0e7ec225d9d474ab7f36448cd",
-      "bytes": 210442,
-      "rows": 45,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000793-0000-8ff50334e7d80ca4.parquet",
-      "sha256": "8ff50334e7d80ca4cac16ae7cd789bdcc311303af8b5002167c05a4effd04517",
-      "bytes": 75729,
-      "rows": 9,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41424",
     "goedel_workbook:lean_workbook_plus_41428",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019846.lean\",\"1bc52c8372f3c2bebd6a55459a373021b50ace7042c5c1ab49b4608afdb77011\",0,\"lean_workbook_plus_41536\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019847.lean\",\"54c061e59763c40701f2eb033573fa34b4f893b427aa4d21f3d6a0ae4ac96d6b\",0,\"lean_workbook_plus_4154\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019848.lean\",\"ed34bc5d6a09288edb98be16c957c8fd2ad10db10deaa06f9b1af10ebf9929e3\",0,\"lean_workbook_plus_41540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210442,
+      "path": "data/train/p9a/goedel_workbook-000793-0000-4f591218440e3e93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "4f591218440e3e93483c5d8ca8aa00d7b4ccdae0e7ec225d9d474ab7f36448cd"
+    },
+    {
+      "bytes": 75729,
+      "path": "data/internal_test/p9a/goedel_workbook-000793-0000-8ff50334e7d80ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8ff50334e7d80ca4cac16ae7cd789bdcc311303af8b5002167c05a4effd04517"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000794.json b/manifests/batches/goedel_workbook/000794.json
index e990017b8e158053e431adac57f4e20a151adc75..72cf478380c1ccb61495844c276c38857669c062 100644
--- a/manifests/batches/goedel_workbook/000794.json
+++ b/manifests/batches/goedel_workbook/000794.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000794",
   "batch_fingerprint": "949ee9078e1b9fd91b46089d077c78abb9d7274db224ba29b9b7d4d548ecc1d8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000794-0000-b38efb3f994f305b.parquet",
-      "sha256": "b38efb3f994f305bb2394eaf493a3b6691d54b146a1a8d86d0cc1b597480d55d",
-      "bytes": 176710,
-      "rows": 40,
-      "revision": "0d4ca80ff6feea703e348b68bc1a84978fb6ab80"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000794-0000-b5a4b0be16a08325.parquet",
-      "sha256": "b5a4b0be16a0832524e67ac573ba1e5c1ae838e0863a029a1b776fba8d90d4b3",
-      "bytes": 31263,
-      "rows": 2,
-      "revision": "0d4ca80ff6feea703e348b68bc1a84978fb6ab80"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41550",
     "goedel_workbook:lean_workbook_plus_41559",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019871.lean\",\"38fa4f45d69b50e4845783c7bf72cd381675e15af06e7ac597e7e562e3292168\",0,\"lean_workbook_plus_4164\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019872.lean\",\"29fde3250c104bfba3deee23adc23340bfb41652b92be3275011ef0a69471f8e\",0,\"lean_workbook_plus_41641\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019874.lean\",\"80a7546118ad8a777bb4b8315eaf9f3c8e0d46f7b0cd7918c22702e7d9330bed\",0,\"lean_workbook_plus_4165\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176710,
+      "path": "data/train/pd6/goedel_workbook-000794-0000-b38efb3f994f305b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "b38efb3f994f305bb2394eaf493a3b6691d54b146a1a8d86d0cc1b597480d55d"
+    },
+    {
+      "bytes": 31263,
+      "path": "data/internal_test/pd6/goedel_workbook-000794-0000-b5a4b0be16a08325.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b5a4b0be16a0832524e67ac573ba1e5c1ae838e0863a029a1b776fba8d90d4b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000795.json b/manifests/batches/goedel_workbook/000795.json
index 40b9c06c76dfe492301826d283fab3ff72df2455..b11116e9ec2d7d5a5da948335e85444da3b3fdf0 100644
--- a/manifests/batches/goedel_workbook/000795.json
+++ b/manifests/batches/goedel_workbook/000795.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000795",
   "batch_fingerprint": "714bfa5ff159f5a4c6529b1b386e7c675b8fc323b9311b7cf2b203fd65028da1",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000795-0000-00c0f7246048f4bb.parquet",
-      "sha256": "00c0f7246048f4bb7a1d9864501fceb74ec0fd52fe1c7ad0e42ce905b74d4c59",
-      "bytes": 176361,
-      "rows": 39,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000795-0000-05ece87a10c7d82f.parquet",
-      "sha256": "05ece87a10c7d82fc73f6f1d92a0de8b12d9c75206d1c0bb05c45d7a0812ca1e",
-      "bytes": 38904,
-      "rows": 2,
-      "revision": "5acb6900ec905ce21616ce08c113d9a6075dd1be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41651",
     "goedel_workbook:lean_workbook_plus_41654",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019896.lean\",\"993bcacb83732580db2ce2b3d387a06b661ec9d63587096b83e0f0936ff1da02\",0,\"lean_workbook_plus_41738\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019897.lean\",\"092c76a96c8cadc63790cc68d6271b99cdf1b69215fe5ced824ea16fbfb2564d\",0,\"lean_workbook_plus_41740\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019898.lean\",\"950ca4f6ebb13f3b30db4cef56391528facfdee1008d097e33938f00e386a931\",0,\"lean_workbook_plus_41741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176361,
+      "path": "data/train/p3c/goedel_workbook-000795-0000-00c0f7246048f4bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "00c0f7246048f4bb7a1d9864501fceb74ec0fd52fe1c7ad0e42ce905b74d4c59"
+    },
+    {
+      "bytes": 38904,
+      "path": "data/internal_test/p3c/goedel_workbook-000795-0000-05ece87a10c7d82f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "05ece87a10c7d82fc73f6f1d92a0de8b12d9c75206d1c0bb05c45d7a0812ca1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000796.json b/manifests/batches/goedel_workbook/000796.json
index 0a2a1dd2b63bd72994579b3d243eeb98cef620d9..d87af32524044ac88d4f642f3dd9decbf34954e9 100644
--- a/manifests/batches/goedel_workbook/000796.json
+++ b/manifests/batches/goedel_workbook/000796.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000796",
   "batch_fingerprint": "dd9b8b05d4033ed5acffd123f9cf29bc9bfc48abe4a5425a84243bc13e3a1315",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000796-0000-e547bb8f224f62b6.parquet",
-      "sha256": "e547bb8f224f62b66c83a3b21e6245d430ec4aca562719dc4c634debe4d9e2fa",
-      "bytes": 134400,
-      "rows": 34,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000796-0000-cf1e4b226988f24f.parquet",
-      "sha256": "cf1e4b226988f24f450255054daf97e0b76e7f794efd6dcf6f1c65db2bca57a2",
-      "bytes": 47595,
-      "rows": 5,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000796-0000-44949afd71c84dab.parquet",
-      "sha256": "44949afd71c84dab66f1e05aa57e72f92b3cf914207c87e459d4181a7b0d6086",
-      "bytes": 44083,
-      "rows": 6,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41759",
     "goedel_workbook:lean_workbook_plus_41761",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019919.lean\",\"319e0dbaca9e517bc249aa67e8dda5a7772949f8be1a8e7096154b89687876b5\",0,\"lean_workbook_plus_4181\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019921.lean\",\"acdb422d7250e6ed51aa3cb7f7c0b5ea9e4593a518965a92e3f552a864530035\",0,\"lean_workbook_plus_41824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019923.lean\",\"8d22956c61df11aa61ba61b4ce2e2db8cb438e6649d777cd3871e328b5cac59e\",0,\"lean_workbook_plus_4183\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134400,
+      "path": "data/train/p1f/goedel_workbook-000796-0000-e547bb8f224f62b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e547bb8f224f62b66c83a3b21e6245d430ec4aca562719dc4c634debe4d9e2fa"
+    },
+    {
+      "bytes": 47595,
+      "path": "data/dev/p1f/goedel_workbook-000796-0000-cf1e4b226988f24f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cf1e4b226988f24f450255054daf97e0b76e7f794efd6dcf6f1c65db2bca57a2"
+    },
+    {
+      "bytes": 44083,
+      "path": "data/internal_test/p1f/goedel_workbook-000796-0000-44949afd71c84dab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "44949afd71c84dab66f1e05aa57e72f92b3cf914207c87e459d4181a7b0d6086"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000797.json b/manifests/batches/goedel_workbook/000797.json
index 475362c30f34350ac5b7ce99cae9e363cc7c441b..cab02d6d071297b2e72cd7133e121575c2ccb298 100644
--- a/manifests/batches/goedel_workbook/000797.json
+++ b/manifests/batches/goedel_workbook/000797.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000797",
   "batch_fingerprint": "775db91a0b98608d97ecacf67f98c2b60719df75447bb775f9e4a42a3d6a6c6f",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000797-0000-b258829f5f2b9db8.parquet",
-      "sha256": "b258829f5f2b9db8824f6c9e5fff1aa72b54c2b84784be62e9c435b6f5be34b0",
-      "bytes": 145013,
-      "rows": 33,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000797-0000-e82c656e3a22ff19.parquet",
-      "sha256": "e82c656e3a22ff19767c5922b084163495049e2a4c5c42c8dcf5bff09c2a49d6",
-      "bytes": 42854,
-      "rows": 3,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41848",
     "goedel_workbook:lean_workbook_plus_41864",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019946.lean\",\"9c038bc6061094db44b9c16eb2e484a653116e5a8e52dafea2975e02ce30e9f6\",0,\"lean_workbook_plus_41942\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019947.lean\",\"e8807bc4162d3eb44677801f419edde5b27e4a003b7bbba33b818b05f17f6dba\",0,\"lean_workbook_plus_41948\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019949.lean\",\"96b47cf2e41caa50e0d07125f62aac539fa831a8993562f4c3dceb5936af105e\",0,\"lean_workbook_plus_41962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145013,
+      "path": "data/train/p58/goedel_workbook-000797-0000-b258829f5f2b9db8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b258829f5f2b9db8824f6c9e5fff1aa72b54c2b84784be62e9c435b6f5be34b0"
+    },
+    {
+      "bytes": 42854,
+      "path": "data/internal_test/p58/goedel_workbook-000797-0000-e82c656e3a22ff19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e82c656e3a22ff19767c5922b084163495049e2a4c5c42c8dcf5bff09c2a49d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000798.json b/manifests/batches/goedel_workbook/000798.json
index c96ce46d7a42d2de7c9d8c3424247a47dc0b4ef2..553f2e43a934876fc3bb68fe40461c3e467dcf81 100644
--- a/manifests/batches/goedel_workbook/000798.json
+++ b/manifests/batches/goedel_workbook/000798.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000798",
   "batch_fingerprint": "e5ce8413917d02fd2b1531e625a41f5af44388d19086f401acf77db2f1528368",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000798-0000-be358bb890220f8a.parquet",
-      "sha256": "be358bb890220f8a48a3f1e7df04bc112a135287fcf3941113981e3c40b0d712",
-      "bytes": 101910,
-      "rows": 15,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000798-0000-8d64f5735f3abce7.parquet",
-      "sha256": "8d64f5735f3abce70521f07b8ec5e833ce780c121da9c21694ea49c8dfb8c08c",
-      "bytes": 34662,
-      "rows": 3,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000798-0000-8ef9d71e1f2a726e.parquet",
-      "sha256": "8ef9d71e1f2a726e1e43d974da1ab455adafeb48c454ba9a408a9e750c26e813",
-      "bytes": 77048,
-      "rows": 13,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_41976",
     "goedel_workbook:lean_workbook_plus_41989",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019972.lean\",\"463f27ee8a94dee6e8f564a906b5d8e1111231dd19e4a3aee81e863377057ee4\",0,\"lean_workbook_plus_42059\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019973.lean\",\"2be8a18a11d1100b0dad02f69be6f7725bd66ea412f9544512d4cfc6423e1ccc\",0,\"lean_workbook_plus_42060\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019974.lean\",\"f59c363ee40f597e58aee9536a87fe655d76ab9d46b08033cccd016fb3b34076\",0,\"lean_workbook_plus_42070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101910,
+      "path": "data/train/pf1/goedel_workbook-000798-0000-be358bb890220f8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "be358bb890220f8a48a3f1e7df04bc112a135287fcf3941113981e3c40b0d712"
+    },
+    {
+      "bytes": 34662,
+      "path": "data/dev/pf1/goedel_workbook-000798-0000-8d64f5735f3abce7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8d64f5735f3abce70521f07b8ec5e833ce780c121da9c21694ea49c8dfb8c08c"
+    },
+    {
+      "bytes": 77048,
+      "path": "data/internal_test/pf1/goedel_workbook-000798-0000-8ef9d71e1f2a726e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8ef9d71e1f2a726e1e43d974da1ab455adafeb48c454ba9a408a9e750c26e813"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000799.json b/manifests/batches/goedel_workbook/000799.json
index e61366d15c5d5cf05d50e6e940eaa2e78738e96a..d20c9dee885a00184022084ce2c3ba87d29d85fc 100644
--- a/manifests/batches/goedel_workbook/000799.json
+++ b/manifests/batches/goedel_workbook/000799.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000799",
   "batch_fingerprint": "4bab166914c0b1304800d9f9dd0b73ec55d88aae240bcc69ea330fd20486bcf2",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000799-0000-a3ad1067be0eb34c.parquet",
-      "sha256": "a3ad1067be0eb34c7a76ec9b80efef88b11c37c4588daa5a5b731c87166d832d",
-      "bytes": 200467,
-      "rows": 39,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000799-0000-b9c4d25963d3c205.parquet",
-      "sha256": "b9c4d25963d3c205756067a949ee1509757548186930e22aebd08a451825299c",
-      "bytes": 35522,
-      "rows": 2,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000799-0000-617407ad0c542003.parquet",
-      "sha256": "617407ad0c542003d69c261f8ca764529aa79b0dca644f0c8fd1b638ae1173ff",
-      "bytes": 45011,
-      "rows": 5,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42091",
     "goedel_workbook:lean_workbook_plus_42098",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019997.lean\",\"c16873e656c46f8095a98b2eadc44129f002e996df0f35e79aa1f847c5bcc40a\",0,\"lean_workbook_plus_42153\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019998.lean\",\"84b64c6e683af266f8dcb76ebd9cef6e42b0a71bcfccbcb4ebc8740cb4b71985\",0,\"lean_workbook_plus_42155\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_019999.lean\",\"b7d2039397895d55af26dd33e49bc0c7ac7c9c53f8187edab5279ddc81aaa92b\",0,\"lean_workbook_plus_42159\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200467,
+      "path": "data/train/p8f/goedel_workbook-000799-0000-a3ad1067be0eb34c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "a3ad1067be0eb34c7a76ec9b80efef88b11c37c4588daa5a5b731c87166d832d"
+    },
+    {
+      "bytes": 35522,
+      "path": "data/dev/p8f/goedel_workbook-000799-0000-b9c4d25963d3c205.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b9c4d25963d3c205756067a949ee1509757548186930e22aebd08a451825299c"
+    },
+    {
+      "bytes": 45011,
+      "path": "data/internal_test/p8f/goedel_workbook-000799-0000-617407ad0c542003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "617407ad0c542003d69c261f8ca764529aa79b0dca644f0c8fd1b638ae1173ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000800.json b/manifests/batches/goedel_workbook/000800.json
index ddaabadfb86b7eb6d336e80b3c81c1c071d4d383..19935efbab20f9ef90a886e1877de50439bf1886 100644
--- a/manifests/batches/goedel_workbook/000800.json
+++ b/manifests/batches/goedel_workbook/000800.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000800",
   "batch_fingerprint": "34c453d3431b41af32dfd4e4bd438c553073a28be2c3a10596c7d23663dff41c",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000800-0000-8c46b42115f2f389.parquet",
-      "sha256": "8c46b42115f2f389ce463a355bea3d117dbb1240c8067ca946ef6e90931cf8d0",
-      "bytes": 121459,
-      "rows": 35,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000800-0000-6781aa462b378a0e.parquet",
-      "sha256": "6781aa462b378a0e1b5ad5827a7baaaef2e9494f683b4ca2f1e84be6afe2f116",
-      "bytes": 31964,
-      "rows": 3,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000800-0000-8d188d3b66f6038f.parquet",
-      "sha256": "8d188d3b66f6038f7c2549d708572f708ad211efdbd7842400584fac931f590b",
-      "bytes": 47247,
-      "rows": 5,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42161",
     "goedel_workbook:lean_workbook_plus_42173",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020021.lean\",\"afcc065e64d38cbcde5d711becefa6ad682b195f2d434fe051e467cdeee53ad5\",0,\"lean_workbook_plus_42261\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020022.lean\",\"fc52c61da6a7a27051cd61584acc4e599485541b05019865e93be600e1d5f6ba\",0,\"lean_workbook_plus_42269\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020024.lean\",\"e3b68996f377f51b7686bbc4e353c9b3ecc20361975a0e31d9a86d7dfd645cf8\",0,\"lean_workbook_plus_42290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121459,
+      "path": "data/train/pde/goedel_workbook-000800-0000-8c46b42115f2f389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "8c46b42115f2f389ce463a355bea3d117dbb1240c8067ca946ef6e90931cf8d0"
+    },
+    {
+      "bytes": 31964,
+      "path": "data/dev/pde/goedel_workbook-000800-0000-6781aa462b378a0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6781aa462b378a0e1b5ad5827a7baaaef2e9494f683b4ca2f1e84be6afe2f116"
+    },
+    {
+      "bytes": 47247,
+      "path": "data/internal_test/pde/goedel_workbook-000800-0000-8d188d3b66f6038f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8d188d3b66f6038f7c2549d708572f708ad211efdbd7842400584fac931f590b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000801.json b/manifests/batches/goedel_workbook/000801.json
index c16a1b2617e397229580e787474bf4374be28f7f..a88e1b9a420faa97c48f17fe938e8db7f51ef640 100644
--- a/manifests/batches/goedel_workbook/000801.json
+++ b/manifests/batches/goedel_workbook/000801.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000801",
   "batch_fingerprint": "825c516e9bd880e5b7ba4ab2b1070ba624bf1640ece082c1ecd9d5a99d0ac4ab",
   "evidence": {
@@ -218,22 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000801-0000-46dcc283751c7fdd.parquet",
-      "sha256": "46dcc283751c7fdd94acbbdf142e63039fe991eb1cd8a085612b177ea292824e",
-      "bytes": 151914,
-      "rows": 30,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000801-0000-6a9caf09eb155136.parquet",
-      "sha256": "6a9caf09eb15513651d6830e6ca48455115fd130fcd69937ada4fc4a1d3e2e94",
-      "bytes": 58259,
-      "rows": 10,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42308",
     "goedel_workbook:lean_workbook_plus_42311",
@@ -265,5 +249,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020046.lean\",\"857802eb25cd0d882ff7c1d5445a12c3b0db87b4ed59f90116a4e46feb77838d\",0,\"lean_workbook_plus_42389\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020047.lean\",\"4b0fac64db36fa050e894a2058708866e5793f728c650f0b7c16403b8b8a5d22\",0,\"lean_workbook_plus_42396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020048.lean\",\"511ab2d676f2629db577fc173a7f735a481611b1c14ae1aa8d99b67040b7771f\",0,\"lean_workbook_plus_42398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151914,
+      "path": "data/train/p7d/goedel_workbook-000801-0000-46dcc283751c7fdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "46dcc283751c7fdd94acbbdf142e63039fe991eb1cd8a085612b177ea292824e"
+    },
+    {
+      "bytes": 58259,
+      "path": "data/internal_test/p7d/goedel_workbook-000801-0000-6a9caf09eb155136.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6a9caf09eb15513651d6830e6ca48455115fd130fcd69937ada4fc4a1d3e2e94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000802.json b/manifests/batches/goedel_workbook/000802.json
index d04838ba1f67c4e9218d9a9b20a575590b15ba80..8071eca950a7471872074f2e690406610ded7ed5 100644
--- a/manifests/batches/goedel_workbook/000802.json
+++ b/manifests/batches/goedel_workbook/000802.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000802",
   "batch_fingerprint": "dd914f9c90febf8e37b9c0c8b66692f3826ae667f0d757c503e806611cee5891",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000802-0000-1fa09474d2c4162b.parquet",
-      "sha256": "1fa09474d2c4162bc51963bb7e76d6e10280245f092a710f35eee14097caf2f6",
-      "bytes": 206167,
-      "rows": 43,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000802-0000-46fcb114aa1def12.parquet",
-      "sha256": "46fcb114aa1def12440d1c4d85dc42a7d5986f5677b737bbf8b4cd4b9034ff8b",
-      "bytes": 42575,
-      "rows": 5,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42403",
     "goedel_workbook:lean_workbook_plus_42405",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020067.lean\",\"da189e0ba891d59b4019d531ed8edf61af527304e26b4ae06b35c7ab6953854a\",0,\"lean_workbook_plus_42467\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020069.lean\",\"4266dc74f880a2606a0b121bb0aee606b850eecf83408168997c78538244dee3\",0,\"lean_workbook_plus_42472\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020070.lean\",\"aa32bb90bcbe664493c7f3222330df91aa273cf13bc9ec1cd5f142dee91c5b47\",0,\"lean_workbook_plus_42482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206167,
+      "path": "data/train/p7b/goedel_workbook-000802-0000-1fa09474d2c4162b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "1fa09474d2c4162bc51963bb7e76d6e10280245f092a710f35eee14097caf2f6"
+    },
+    {
+      "bytes": 42575,
+      "path": "data/internal_test/p7b/goedel_workbook-000802-0000-46fcb114aa1def12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "46fcb114aa1def12440d1c4d85dc42a7d5986f5677b737bbf8b4cd4b9034ff8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000803.json b/manifests/batches/goedel_workbook/000803.json
index d935e37239638e11c63fb9d218f0887e8f1eaa08..594418529210611193a0d235d77479dd228b0326 100644
--- a/manifests/batches/goedel_workbook/000803.json
+++ b/manifests/batches/goedel_workbook/000803.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000803",
   "batch_fingerprint": "906c916668b8f924296b93b1ce8b2a7725afb7a6aca40ec047be5400d3408f38",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000803-0000-805387408f545f3d.parquet",
-      "sha256": "805387408f545f3de03a56f43538c6606e6e4be5765b4bf474217dbbadac4c5e",
-      "bytes": 146116,
-      "rows": 35,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000803-0000-6789bd2ebcf75527.parquet",
-      "sha256": "6789bd2ebcf75527e0974299f7f5a3fd9fc41d7e85f814b2230b23225e0a1d6a",
-      "bytes": 75822,
-      "rows": 10,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000803-0000-96318d2aedfeca3f.parquet",
-      "sha256": "96318d2aedfeca3fb88a4ee58bb7bf091b3ea10887a1d15fac72db92ace90bb4",
-      "bytes": 45770,
-      "rows": 6,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_4250",
     "goedel_workbook:lean_workbook_plus_42515",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020095.lean\",\"69555200554e967f95eb182bfd9b09b62844c9b57be0b2148dfc0cb4884a57ac\",0,\"lean_workbook_plus_42602\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020096.lean\",\"4d158b8bac7c6575202cf9ee1c43fc5402f2424f879e2afdb1d010754a330baf\",0,\"lean_workbook_plus_42611\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020097.lean\",\"88f9c6a0bb76d5adbe6dd485776f0b12686ce198d0c8a72391ea7985f6465156\",0,\"lean_workbook_plus_42612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146116,
+      "path": "data/train/p88/goedel_workbook-000803-0000-805387408f545f3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "805387408f545f3de03a56f43538c6606e6e4be5765b4bf474217dbbadac4c5e"
+    },
+    {
+      "bytes": 75822,
+      "path": "data/dev/p88/goedel_workbook-000803-0000-6789bd2ebcf75527.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6789bd2ebcf75527e0974299f7f5a3fd9fc41d7e85f814b2230b23225e0a1d6a"
+    },
+    {
+      "bytes": 45770,
+      "path": "data/internal_test/p88/goedel_workbook-000803-0000-96318d2aedfeca3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "96318d2aedfeca3fb88a4ee58bb7bf091b3ea10887a1d15fac72db92ace90bb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000804.json b/manifests/batches/goedel_workbook/000804.json
index bda537a5da4f4886b13edd02dfa4eba906389673..00ff606cc833d7707ff20ae1176da7d6bb3151da 100644
--- a/manifests/batches/goedel_workbook/000804.json
+++ b/manifests/batches/goedel_workbook/000804.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000804",
   "batch_fingerprint": "fd5d5ffb048636bc74997e3b506716e3622a34155f36b1536bce1b26d04239f7",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000804-0000-6f074abffd40a7a7.parquet",
-      "sha256": "6f074abffd40a7a7edd4b8e7da031dab166e310948b5c260d9f265af40cae386",
-      "bytes": 187476,
-      "rows": 37,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000804-0000-2361b27d478eb45e.parquet",
-      "sha256": "2361b27d478eb45eda4c9db7660982b38aab7ff3884d46e12cadc9da349d9c3f",
-      "bytes": 36193,
-      "rows": 3,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42637",
     "goedel_workbook:lean_workbook_plus_42638",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020120.lean\",\"99872de1e4f408572aa3a122cf24b85c5bedf754f7294f31cd47fc7a11290832\",0,\"lean_workbook_plus_42756\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020121.lean\",\"1160911aca0e422d1ff83a5938d2fc4e61867c6390bd2a676c785116cd0504db\",0,\"lean_workbook_plus_42759\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020123.lean\",\"1b15c7ce4be619c4e9c70eec051580406253e310c73ad7a0eba769b1ba6c5b4f\",0,\"lean_workbook_plus_42763\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187476,
+      "path": "data/train/p42/goedel_workbook-000804-0000-6f074abffd40a7a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "6f074abffd40a7a7edd4b8e7da031dab166e310948b5c260d9f265af40cae386"
+    },
+    {
+      "bytes": 36193,
+      "path": "data/dev/p42/goedel_workbook-000804-0000-2361b27d478eb45e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2361b27d478eb45eda4c9db7660982b38aab7ff3884d46e12cadc9da349d9c3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000805.json b/manifests/batches/goedel_workbook/000805.json
index 69ad16ab5a7d33ff7097e2d9796959a081ff465a..3c58ef061ecc59145fafe9f5b89d62c615f981d3 100644
--- a/manifests/batches/goedel_workbook/000805.json
+++ b/manifests/batches/goedel_workbook/000805.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000805",
   "batch_fingerprint": "4f92da44aed35c209e1da8c1221ca07d3fca4e29642d7f24dc88181adc7aea71",
   "evidence": {
@@ -247,29 +246,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000805-0000-d5d0cd83765fb694.parquet",
-      "sha256": "d5d0cd83765fb694fdcdd9b6bcdf32c3aae4e969cbea86cc7f206cddd8a34a13",
-      "bytes": 80923,
-      "rows": 20,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000805-0000-0564bf5a820443ac.parquet",
-      "sha256": "0564bf5a820443ac28825f88ccda4c81445f1abfee181c934c417b72124b9450",
-      "bytes": 41032,
-      "rows": 4,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000805-0000-dc69309eba9e353d.parquet",
-      "sha256": "dc69309eba9e353d398ecad7b3790dce3f504de8f01b00c098d399b4fb11d750",
-      "bytes": 34868,
-      "rows": 4,
-      "revision": "4d008569c30260d078c214c688dd136a1d2bdc40"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42777",
     "goedel_workbook:lean_workbook_plus_42780",
@@ -299,5 +276,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020143.lean\",\"70d25eaef7e536a7eab5c516c23770ebbb4811b5e45464fde34c21d763a7678c\",0,\"lean_workbook_plus_42826\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020145.lean\",\"739b99075e171dfcfc3d3c2c5ca3d6a7de54fe70ef757a7b7fd27aee3328dec6\",0,\"lean_workbook_plus_42848\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020149.lean\",\"638bf24c7842d510f261566c93cc50578048538e9af6c19fa46e934b26818c72\",0,\"lean_workbook_plus_42857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80923,
+      "path": "data/train/pac/goedel_workbook-000805-0000-d5d0cd83765fb694.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d5d0cd83765fb694fdcdd9b6bcdf32c3aae4e969cbea86cc7f206cddd8a34a13"
+    },
+    {
+      "bytes": 41032,
+      "path": "data/dev/pac/goedel_workbook-000805-0000-0564bf5a820443ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0564bf5a820443ac28825f88ccda4c81445f1abfee181c934c417b72124b9450"
+    },
+    {
+      "bytes": 34868,
+      "path": "data/internal_test/pac/goedel_workbook-000805-0000-dc69309eba9e353d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dc69309eba9e353d398ecad7b3790dce3f504de8f01b00c098d399b4fb11d750"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000806.json b/manifests/batches/goedel_workbook/000806.json
index 0f0ec9cdeaaed4da9e6bc16a8e22777a7c036c64..8482be76c5969319fa42c968b223d33bd50abec2 100644
--- a/manifests/batches/goedel_workbook/000806.json
+++ b/manifests/batches/goedel_workbook/000806.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000806",
   "batch_fingerprint": "fef40980e506f9ecd848bf57693c974b8daddde88dc67e01915bba4b01b838e1",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000806-0000-f047be2082f49d86.parquet",
-      "sha256": "f047be2082f49d86b3fe525ccb4a7f5dbb9c90e26146e767cdd423cbfcd2a2b0",
-      "bytes": 222449,
-      "rows": 44,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000806-0000-04a0ba274982de10.parquet",
-      "sha256": "04a0ba274982de103cc06b938a561c237f36a55cdef8a1d9ec888f5145d55a76",
-      "bytes": 50251,
-      "rows": 7,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42860",
     "goedel_workbook:lean_workbook_plus_42865",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020171.lean\",\"f14d00f90c85c2f91efe01850fbbfaea612bbc98829c13821bcb339af98b61ad\",0,\"lean_workbook_plus_42964\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020172.lean\",\"fbb90a5375d29817a4d61bc0e80e1c0088e3c2060574b3b153479dca90572b72\",0,\"lean_workbook_plus_42966\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020174.lean\",\"1c46a35e87b11875161702b761adc266ad3a8000f86cfe292a3e7be75ec02328\",0,\"lean_workbook_plus_42974\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222449,
+      "path": "data/train/p31/goedel_workbook-000806-0000-f047be2082f49d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "f047be2082f49d86b3fe525ccb4a7f5dbb9c90e26146e767cdd423cbfcd2a2b0"
+    },
+    {
+      "bytes": 50251,
+      "path": "data/internal_test/p31/goedel_workbook-000806-0000-04a0ba274982de10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "04a0ba274982de103cc06b938a561c237f36a55cdef8a1d9ec888f5145d55a76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000807.json b/manifests/batches/goedel_workbook/000807.json
index 82110afdd88e088b3305e7bb983e952b3f980138..997d3b38305a57d7f81c25fd7580fa2688500d72 100644
--- a/manifests/batches/goedel_workbook/000807.json
+++ b/manifests/batches/goedel_workbook/000807.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000807",
   "batch_fingerprint": "60cb9e3efb4d2f5dd964e3e87f86b13da2d57eb535909288e3fab3e80204f6a8",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000807-0000-05b0bce557b3c71f.parquet",
-      "sha256": "05b0bce557b3c71f18c1bfb01d2ecaa60ecfef42ca168b96e581ea3075cc26db",
-      "bytes": 172718,
-      "rows": 36,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000807-0000-2facbb6379a85ff8.parquet",
-      "sha256": "2facbb6379a85ff8cb782c996ef2558c1b1ea34f6a5cef5f9fbe2398fbd0f5d7",
-      "bytes": 63415,
-      "rows": 3,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_42981",
     "goedel_workbook:lean_workbook_plus_42995",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020196.lean\",\"aaa106f5c71a1884ec28e0755504a616723e37caa94c283271338aef9302a9ce\",0,\"lean_workbook_plus_43083\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020197.lean\",\"2aedc1d8ba113b273821e93d73653c0471c59ac103cb7bdde367aca25b33d552\",0,\"lean_workbook_plus_43093\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020198.lean\",\"f569f64fb480ec9a234fcff047fc577494e1b64890c87dd03377e2c5d24995c0\",0,\"lean_workbook_plus_43100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172718,
+      "path": "data/train/pc8/goedel_workbook-000807-0000-05b0bce557b3c71f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "05b0bce557b3c71f18c1bfb01d2ecaa60ecfef42ca168b96e581ea3075cc26db"
+    },
+    {
+      "bytes": 63415,
+      "path": "data/dev/pc8/goedel_workbook-000807-0000-2facbb6379a85ff8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2facbb6379a85ff8cb782c996ef2558c1b1ea34f6a5cef5f9fbe2398fbd0f5d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000808.json b/manifests/batches/goedel_workbook/000808.json
index a621c91fdcae5f6df5731289dc9a61a612aa7fb9..f1394ae6ae53d842c3b158a7b9b0b8a2dcd2702f 100644
--- a/manifests/batches/goedel_workbook/000808.json
+++ b/manifests/batches/goedel_workbook/000808.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000808",
   "batch_fingerprint": "44e000071282315011b54c7ec4a93a45340420018ced1230be174e4d6ba24314",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000808-0000-b1d18950d4429240.parquet",
-      "sha256": "b1d18950d4429240f0793e320def20d6121382aa4e54572265e2bb1ad28e49a2",
-      "bytes": 188832,
-      "rows": 48,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000808-0000-6b02149f29140952.parquet",
-      "sha256": "6b02149f29140952f2a1ce2d6a24b80ef957b8b32f9c221c2fb83088c2a2df4a",
-      "bytes": 55692,
-      "rows": 4,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000808-0000-ea1d58fd92678d09.parquet",
-      "sha256": "ea1d58fd92678d09ed65d743a4d7da3b4ee27634aadc1be59cc938637ea10fd6",
-      "bytes": 54047,
-      "rows": 6,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43116",
     "goedel_workbook:lean_workbook_plus_43123",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020222.lean\",\"adee80966cad4259aed30569cb45b358eb344cef32eec5a1480a50c5ca388ea2\",0,\"lean_workbook_plus_4323\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020223.lean\",\"683a9c4a0e2729137649f0d92f746d1eb64a1dc387506b69e537f98865b48e7d\",0,\"lean_workbook_plus_43239\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020224.lean\",\"8324cacc70c973aa9c508a5bd88345ff5b2eb0f5c5da1752de7d8d805c82b4f3\",0,\"lean_workbook_plus_43243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188832,
+      "path": "data/train/p14/goedel_workbook-000808-0000-b1d18950d4429240.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "b1d18950d4429240f0793e320def20d6121382aa4e54572265e2bb1ad28e49a2"
+    },
+    {
+      "bytes": 55692,
+      "path": "data/dev/p14/goedel_workbook-000808-0000-6b02149f29140952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6b02149f29140952f2a1ce2d6a24b80ef957b8b32f9c221c2fb83088c2a2df4a"
+    },
+    {
+      "bytes": 54047,
+      "path": "data/internal_test/p14/goedel_workbook-000808-0000-ea1d58fd92678d09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ea1d58fd92678d09ed65d743a4d7da3b4ee27634aadc1be59cc938637ea10fd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000809.json b/manifests/batches/goedel_workbook/000809.json
index c5279bfa849aaa9beb93c918e9f3a7107828d929..193a7ac9890b2985e5de4e1868f3a8f78beb6aae 100644
--- a/manifests/batches/goedel_workbook/000809.json
+++ b/manifests/batches/goedel_workbook/000809.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000809",
   "batch_fingerprint": "ef3f7f52142f15b0e9fe030a991574185ff3b57e165243b7e0c2744d4451fd5f",
   "evidence": {
@@ -190,15 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000809-0000-649e33c250af2ee3.parquet",
-      "sha256": "649e33c250af2ee32574cf31268633d14509348e73ccb9a276692aeb1e6af2ca",
-      "bytes": 209395,
-      "rows": 51,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43244",
     "goedel_workbook:lean_workbook_plus_43248",
@@ -234,5 +225,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020246.lean\",\"b5ef1a896debb945ae2d8ccdace13be4f71e6e8909cc084124de6a1091a963b0\",0,\"lean_workbook_plus_43314\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020247.lean\",\"c6315e351e958d11da3324e02a77f910cfb1061929dc2c4c60e25c35ec8ba640\",0,\"lean_workbook_plus_43316\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020248.lean\",\"6debd1260d3f53564c778c88e7a7299113ad926e1a33f8cd56dbce5d433430b5\",0,\"lean_workbook_plus_43318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209395,
+      "path": "data/train/p27/goedel_workbook-000809-0000-649e33c250af2ee3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "649e33c250af2ee32574cf31268633d14509348e73ccb9a276692aeb1e6af2ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000810.json b/manifests/batches/goedel_workbook/000810.json
index 6dd22199355fd1743da7bfa94d63cb71f20e132d..17ad658828931be067eec75d620784c36172910a 100644
--- a/manifests/batches/goedel_workbook/000810.json
+++ b/manifests/batches/goedel_workbook/000810.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000810",
   "batch_fingerprint": "66161c628fcd4beb91e2298417de8f092a712a65c062d696193b6f6c98089e9b",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000810-0000-4872a59c55144eef.parquet",
-      "sha256": "4872a59c55144eefa4503436d8f677555efe03e179e209b0581368b0131625e4",
-      "bytes": 113413,
-      "rows": 32,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000810-0000-32abbc9866e93863.parquet",
-      "sha256": "32abbc9866e9386301a56958185e393f466eebcb880b3b14b1decfed37470a1d",
-      "bytes": 60027,
-      "rows": 12,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000810-0000-1044cd41b9a9f8c4.parquet",
-      "sha256": "1044cd41b9a9f8c4e286711d527069b303d17c7055f2a75742e1a066227c578d",
-      "bytes": 37442,
-      "rows": 4,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43320",
     "goedel_workbook:lean_workbook_plus_43327",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020272.lean\",\"01cd1a2754dc483214393f7d119898cd4c3a29a98ef6c5b9501c7b7c9189ff6b\",0,\"lean_workbook_plus_43410\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020273.lean\",\"38079f9bc123eb67cea82a3ea61c8f5ac3a8a6c7462e37178d91692444d99fba\",0,\"lean_workbook_plus_43418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020274.lean\",\"cc73638008792f94f37a03892bbd91c7e8382f3d567265ebcc768597287f3ca5\",0,\"lean_workbook_plus_43423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113413,
+      "path": "data/train/pd6/goedel_workbook-000810-0000-4872a59c55144eef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "4872a59c55144eefa4503436d8f677555efe03e179e209b0581368b0131625e4"
+    },
+    {
+      "bytes": 60027,
+      "path": "data/dev/pd6/goedel_workbook-000810-0000-32abbc9866e93863.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "32abbc9866e9386301a56958185e393f466eebcb880b3b14b1decfed37470a1d"
+    },
+    {
+      "bytes": 37442,
+      "path": "data/internal_test/pd6/goedel_workbook-000810-0000-1044cd41b9a9f8c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1044cd41b9a9f8c4e286711d527069b303d17c7055f2a75742e1a066227c578d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000811.json b/manifests/batches/goedel_workbook/000811.json
index ac15d6c0887baeea9cc75b4ae97670b2bfc603ad..429142aefcec3581dee46415cef4e47a8f16cde7 100644
--- a/manifests/batches/goedel_workbook/000811.json
+++ b/manifests/batches/goedel_workbook/000811.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000811",
   "batch_fingerprint": "cbec66d7de1fccc16f0aaa423029ce92d1367f7d0f1899cc48a70e734b3f1cc4",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000811-0000-02427886e7528dab.parquet",
-      "sha256": "02427886e7528dabed6c8ba37f247c0ed1f6038dd3be45508a52603120d1299e",
-      "bytes": 110492,
-      "rows": 30,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000811-0000-03dfd5462f7d473a.parquet",
-      "sha256": "03dfd5462f7d473ac23fe640c3fa06389a35374fa71c604cc42ca48fc222aea9",
-      "bytes": 70799,
-      "rows": 21,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43429",
     "goedel_workbook:lean_workbook_plus_43436",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020296.lean\",\"00992b63dd7b87c314a6308f23294a64f551e72773f319142c2ae9e6ff453ae2\",0,\"lean_workbook_plus_43532\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020297.lean\",\"28c44ebe07faef9a78d1d0865cdc693228bfb24efc82eccee889f94fbcafc535\",0,\"lean_workbook_plus_43533\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020298.lean\",\"905b8eb3d3d2c4294598a3f03e60ace7dce5264afc90968def5338df90b52e21\",0,\"lean_workbook_plus_43538\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110492,
+      "path": "data/train/p55/goedel_workbook-000811-0000-02427886e7528dab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "02427886e7528dabed6c8ba37f247c0ed1f6038dd3be45508a52603120d1299e"
+    },
+    {
+      "bytes": 70799,
+      "path": "data/internal_test/p55/goedel_workbook-000811-0000-03dfd5462f7d473a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "03dfd5462f7d473ac23fe640c3fa06389a35374fa71c604cc42ca48fc222aea9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000812.json b/manifests/batches/goedel_workbook/000812.json
index 448c4db61d8ee638304a5ede7508cf0e51c31c37..e9baf04e7104cd0d7b166b11abdac54949cffe7d 100644
--- a/manifests/batches/goedel_workbook/000812.json
+++ b/manifests/batches/goedel_workbook/000812.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000812",
   "batch_fingerprint": "c6d1dd0d3051862e72f45fcd572c6d1e018addbeb791be0ff716695b279b33ea",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000812-0000-66815da8c19590cf.parquet",
-      "sha256": "66815da8c19590cf006a047b54aff7b22cb438fc25f56f7a51715ee5acf28176",
-      "bytes": 153507,
-      "rows": 42,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000812-0000-6893e2a8d46e1266.parquet",
-      "sha256": "6893e2a8d46e1266921b79bd79c040745041c7781fa1f9acf447803a4b96adf0",
-      "bytes": 32113,
-      "rows": 2,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43542",
     "goedel_workbook:lean_workbook_plus_43547",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020322.lean\",\"96b0c565d09d6beb5d26ca4a026d27aced029fc001eaa30e913efbdd25c7342b\",0,\"lean_workbook_plus_43616\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020323.lean\",\"a08f91d8d0b61db546f056f96612a5269ba09158ede29ff67270f56066ebc0a1\",0,\"lean_workbook_plus_43617\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020324.lean\",\"50c4918338afec78f4faa3040aa4f2ec1a97833b03b4e8c9d0f88a0655ad1f45\",0,\"lean_workbook_plus_43619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153507,
+      "path": "data/train/p80/goedel_workbook-000812-0000-66815da8c19590cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "66815da8c19590cf006a047b54aff7b22cb438fc25f56f7a51715ee5acf28176"
+    },
+    {
+      "bytes": 32113,
+      "path": "data/internal_test/p80/goedel_workbook-000812-0000-6893e2a8d46e1266.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6893e2a8d46e1266921b79bd79c040745041c7781fa1f9acf447803a4b96adf0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000813.json b/manifests/batches/goedel_workbook/000813.json
index cee4d05c7ad538599d63d38100d18d6ec3b2feaf..aa121c2991e21994d32d4bb5e96561632871b1ec 100644
--- a/manifests/batches/goedel_workbook/000813.json
+++ b/manifests/batches/goedel_workbook/000813.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000813",
   "batch_fingerprint": "a4f7796bd0a67b46ebd0eaabd9b5e50233df90766a9ec688d849c182611a3e4a",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000813-0000-dd995d135a529cfb.parquet",
-      "sha256": "dd995d135a529cfb46b783565cd2bc2311b2f20b5f98c0040f7702861fc512d0",
-      "bytes": 93442,
-      "rows": 25,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000813-0000-258ed4caef529b06.parquet",
-      "sha256": "258ed4caef529b06898aedaf67e3982b7549e74eca9a06fbbad7a5158388116d",
-      "bytes": 33241,
-      "rows": 1,
-      "revision": "5c44021217e67ffb6cc92c504f9a4c5d94b14b19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43622",
     "goedel_workbook:lean_workbook_plus_43634",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020346.lean\",\"8771ff219e4fb0cf21f93a65e032d45e64d9fa5eb7581165223398fe96884120\",0,\"lean_workbook_plus_43714\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020347.lean\",\"6c804cea21ddbf3f9124bf8d932a9b63a206089f6ad51e0763108300e78ccc32\",0,\"lean_workbook_plus_43720\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020348.lean\",\"cae65dc763400a5d21bc428ca11cfc9caf7786f78853783a4eff918b564738a9\",0,\"lean_workbook_plus_43723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93442,
+      "path": "data/train/pab/goedel_workbook-000813-0000-dd995d135a529cfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "dd995d135a529cfb46b783565cd2bc2311b2f20b5f98c0040f7702861fc512d0"
+    },
+    {
+      "bytes": 33241,
+      "path": "data/dev/pab/goedel_workbook-000813-0000-258ed4caef529b06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "258ed4caef529b06898aedaf67e3982b7549e74eca9a06fbbad7a5158388116d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000814.json b/manifests/batches/goedel_workbook/000814.json
index 9468aa618d7bcddfc9ce12a8ca05a073e9aeb7ae..7a902685b55f41b279d9daeb7f8fd887bb0ca4e2 100644
--- a/manifests/batches/goedel_workbook/000814.json
+++ b/manifests/batches/goedel_workbook/000814.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000814",
   "batch_fingerprint": "ac53de94b064ac682ec6d87bb45c5cddd7a175331ba642b85f17140a7cde2735",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000814-0000-fa778cc2c81ea4a6.parquet",
-      "sha256": "fa778cc2c81ea4a6e068d19298603d9ce9d9bdcbcab6738dd27d0a3b4c0c5489",
-      "bytes": 99269,
-      "rows": 27,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000814-0000-3d0b6bea95654863.parquet",
-      "sha256": "3d0b6bea95654863fd866fcd13081c2feb77f2187f0fb043f30c9b9c68540e17",
-      "bytes": 33254,
-      "rows": 3,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000814-0000-5f0aaec0c7be60e6.parquet",
-      "sha256": "5f0aaec0c7be60e65717d47456c6559a4c7c1b888e80a52d1c155b84e24a104c",
-      "bytes": 39967,
-      "rows": 4,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43728",
     "goedel_workbook:lean_workbook_plus_43729",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020368.lean\",\"4a42890aa47ed2df4c1353138cf903ad7687e3ee53a698a4cb00150474d5b005\",0,\"lean_workbook_plus_43770\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020372.lean\",\"7bcdc310ed25393266f8da940d66f2eb5a6e1a99a510262129c9948bd395e8d1\",0,\"lean_workbook_plus_43787\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020373.lean\",\"b755a287f43f8414940200ad9281d21cb9f60497122610f83d6cafb7643d9761\",0,\"lean_workbook_plus_43788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99269,
+      "path": "data/train/pc4/goedel_workbook-000814-0000-fa778cc2c81ea4a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "fa778cc2c81ea4a6e068d19298603d9ce9d9bdcbcab6738dd27d0a3b4c0c5489"
+    },
+    {
+      "bytes": 33254,
+      "path": "data/dev/pc4/goedel_workbook-000814-0000-3d0b6bea95654863.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d0b6bea95654863fd866fcd13081c2feb77f2187f0fb043f30c9b9c68540e17"
+    },
+    {
+      "bytes": 39967,
+      "path": "data/internal_test/pc4/goedel_workbook-000814-0000-5f0aaec0c7be60e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5f0aaec0c7be60e65717d47456c6559a4c7c1b888e80a52d1c155b84e24a104c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000815.json b/manifests/batches/goedel_workbook/000815.json
index c54001ca5291b1d27b7d5c730ca89fb45ac70703..447229abfb0ecc1bcb08705b2365c9bd19856dbb 100644
--- a/manifests/batches/goedel_workbook/000815.json
+++ b/manifests/batches/goedel_workbook/000815.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000815",
   "batch_fingerprint": "da63b0133627e73273a709383f77bc3f4d5d63e8d94c365699541588976c9eae",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000815-0000-9f8ceb797520e8a7.parquet",
-      "sha256": "9f8ceb797520e8a75788413b709fff62571382ca7d4592a58ba94cac183e2aef",
-      "bytes": 232479,
-      "rows": 45,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000815-0000-49bbeaa29a571187.parquet",
-      "sha256": "49bbeaa29a57118775dfe14d89d9deb111353ce8b335b11959f43daaf5df0150",
-      "bytes": 31314,
-      "rows": 1,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000815-0000-3407384f8f19edd5.parquet",
-      "sha256": "3407384f8f19edd5fb8a11316009ac6b6dc0b93de78075b20c9c573798bbfad0",
-      "bytes": 73804,
-      "rows": 9,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43792",
     "goedel_workbook:lean_workbook_plus_43793",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020395.lean\",\"924280fc1667ca4c9cfa1298d0b869250b1743da5cbfc6b7aeb3fa7b901c07f9\",0,\"lean_workbook_plus_43894\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020396.lean\",\"86e4c31045eaf6908d6cc1d4ebb0be5a64a168c6c5c138454619d6e211d1c07e\",0,\"lean_workbook_plus_43897\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020399.lean\",\"e89f283a2319426613fe832447f5e3d97b92cddcd8a832c703f6e048051d303d\",0,\"lean_workbook_plus_43925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232479,
+      "path": "data/train/pd6/goedel_workbook-000815-0000-9f8ceb797520e8a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "9f8ceb797520e8a75788413b709fff62571382ca7d4592a58ba94cac183e2aef"
+    },
+    {
+      "bytes": 31314,
+      "path": "data/dev/pd6/goedel_workbook-000815-0000-49bbeaa29a571187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "49bbeaa29a57118775dfe14d89d9deb111353ce8b335b11959f43daaf5df0150"
+    },
+    {
+      "bytes": 73804,
+      "path": "data/internal_test/pd6/goedel_workbook-000815-0000-3407384f8f19edd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3407384f8f19edd5fb8a11316009ac6b6dc0b93de78075b20c9c573798bbfad0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000816.json b/manifests/batches/goedel_workbook/000816.json
index a37d8ee0d3dda68b39cf8e175b3d0b2afb448766..9cf08d8bc6c4a122c945334e145a63ee682926f2 100644
--- a/manifests/batches/goedel_workbook/000816.json
+++ b/manifests/batches/goedel_workbook/000816.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000816",
   "batch_fingerprint": "c4a5f4918227e1a088e0e193a8ea3c87f9d4851326b23567e884c8abdd5285a4",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000816-0000-8a47e88072d6ac30.parquet",
-      "sha256": "8a47e88072d6ac30f378558ac07a5085c506d2ddca6042820c962e7ebaf8e665",
-      "bytes": 180916,
-      "rows": 48,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000816-0000-843792817e41c9f2.parquet",
-      "sha256": "843792817e41c9f2c2837d8c3667b5a388a51bc1bdab84819565649acc54484f",
-      "bytes": 27257,
-      "rows": 1,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000816-0000-90c2922020981c01.parquet",
-      "sha256": "90c2922020981c01814f37865807c92201180d23fc0491784e8c64df58076cfe",
-      "bytes": 50363,
-      "rows": 7,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_43932",
     "goedel_workbook:lean_workbook_plus_43939",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020422.lean\",\"ee712620e42069b83570088d2752536e7da619ed5aaf9f49c0be825a6d5549b8\",0,\"lean_workbook_plus_43998\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020423.lean\",\"906505e8a6a5b8d70dc4f14bea49ea530342ff2990c58764a8bd907a2cf7f3cd\",0,\"lean_workbook_plus_44008\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020424.lean\",\"6e2b55357749c54416c982809727912b1a245ead55332459ca15e82f99ea8cc6\",0,\"lean_workbook_plus_44009\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180916,
+      "path": "data/train/p75/goedel_workbook-000816-0000-8a47e88072d6ac30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "8a47e88072d6ac30f378558ac07a5085c506d2ddca6042820c962e7ebaf8e665"
+    },
+    {
+      "bytes": 27257,
+      "path": "data/dev/p75/goedel_workbook-000816-0000-843792817e41c9f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "843792817e41c9f2c2837d8c3667b5a388a51bc1bdab84819565649acc54484f"
+    },
+    {
+      "bytes": 50363,
+      "path": "data/internal_test/p75/goedel_workbook-000816-0000-90c2922020981c01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "90c2922020981c01814f37865807c92201180d23fc0491784e8c64df58076cfe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000817.json b/manifests/batches/goedel_workbook/000817.json
index 977f2f55ef000abbdf0b02afbe2a57d760316bee..c12cfbc182ecede04d1536ce849679a949269e93 100644
--- a/manifests/batches/goedel_workbook/000817.json
+++ b/manifests/batches/goedel_workbook/000817.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000817",
   "batch_fingerprint": "c24490a3b913f39b7b0a66e5d21a96adc6e1a515a7d43e7e0e15fddfe9033353",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000817-0000-15fd01c123104c26.parquet",
-      "sha256": "15fd01c123104c26e91affe904ee3e8c671abd18a3c41a8885bcd059828bc6cb",
-      "bytes": 242801,
-      "rows": 46,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000817-0000-42cbb1492c62f7b1.parquet",
-      "sha256": "42cbb1492c62f7b121f0d0308d0f503cf998156a82934fbd7dcf627d83a133f6",
-      "bytes": 36635,
-      "rows": 2,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000817-0000-f7f75989d78028ac.parquet",
-      "sha256": "f7f75989d78028ac013fcf9c40abc6af6b2593104d5533b35f60f7955ef5db84",
-      "bytes": 29752,
-      "rows": 1,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44014",
     "goedel_workbook:lean_workbook_plus_44017",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020444.lean\",\"8f1f47326d821638c2bfbc44d5090e87f9746e4551bdd73a2fa23c3f18d39288\",0,\"lean_workbook_plus_44088\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020446.lean\",\"0822d0b62b980d9a2750a1a7d460544e104387b947f2bd78771ac8a996c75f6f\",0,\"lean_workbook_plus_44090\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020447.lean\",\"b371aacb59176b42c5e926c0b823ade82e82ade6ca009bbe066bfc8309e8ba8b\",0,\"lean_workbook_plus_44100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242801,
+      "path": "data/train/pba/goedel_workbook-000817-0000-15fd01c123104c26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "15fd01c123104c26e91affe904ee3e8c671abd18a3c41a8885bcd059828bc6cb"
+    },
+    {
+      "bytes": 36635,
+      "path": "data/dev/pba/goedel_workbook-000817-0000-42cbb1492c62f7b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "42cbb1492c62f7b121f0d0308d0f503cf998156a82934fbd7dcf627d83a133f6"
+    },
+    {
+      "bytes": 29752,
+      "path": "data/internal_test/pba/goedel_workbook-000817-0000-f7f75989d78028ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f7f75989d78028ac013fcf9c40abc6af6b2593104d5533b35f60f7955ef5db84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000818.json b/manifests/batches/goedel_workbook/000818.json
index ed9d4e905b42648312a1a56c319177650b3c90fe..1bd9ac8c214ef5fcf9e200f3fe2d9f1cc53ec5ad 100644
--- a/manifests/batches/goedel_workbook/000818.json
+++ b/manifests/batches/goedel_workbook/000818.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000818",
   "batch_fingerprint": "eb52240eddc430b5fff26839b078a953c638f4001e3fbae2471ee8a72a910d64",
   "evidence": {
@@ -254,29 +253,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000818-0000-b828f6b3bc4f4360.parquet",
-      "sha256": "b828f6b3bc4f4360278968602d709300b70e7b47d4514cf298ecf4af5743a6a6",
-      "bytes": 200086,
-      "rows": 33,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000818-0000-50f5ef23a59b10d6.parquet",
-      "sha256": "50f5ef23a59b10d6f5d7c084c2b11b518be6e993d75ee387efd6e12c987c11ec",
-      "bytes": 38734,
-      "rows": 5,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000818-0000-2890a8ba239ebc7d.parquet",
-      "sha256": "2890a8ba239ebc7d5d9595ad4dced9b28c5dc9de6bd7d1b725c53a68046c24ff",
-      "bytes": 36210,
-      "rows": 1,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44127",
     "goedel_workbook:lean_workbook_plus_44138",
@@ -306,5 +283,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020471.lean\",\"09742164ac73c7d522e4af2c878eeec02f5a739ca627d76d926ab8e0a3330303\",0,\"lean_workbook_plus_44226\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020472.lean\",\"8c0f7af15c081db475ea2078af5f5b3e85d88b842a6915f0e77c0c267040fdd4\",0,\"lean_workbook_plus_44227\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020474.lean\",\"327815ca1feba91a24a60f4a74601c75df40a825935700ca88cf76af4c4d13d0\",0,\"lean_workbook_plus_44231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200086,
+      "path": "data/train/p1f/goedel_workbook-000818-0000-b828f6b3bc4f4360.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b828f6b3bc4f4360278968602d709300b70e7b47d4514cf298ecf4af5743a6a6"
+    },
+    {
+      "bytes": 38734,
+      "path": "data/dev/p1f/goedel_workbook-000818-0000-50f5ef23a59b10d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "50f5ef23a59b10d6f5d7c084c2b11b518be6e993d75ee387efd6e12c987c11ec"
+    },
+    {
+      "bytes": 36210,
+      "path": "data/internal_test/p1f/goedel_workbook-000818-0000-2890a8ba239ebc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2890a8ba239ebc7d5d9595ad4dced9b28c5dc9de6bd7d1b725c53a68046c24ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000819.json b/manifests/batches/goedel_workbook/000819.json
index faf0738bd184e64c82a1d49a1486c7425a04470f..8459f2fb7fa1b5eea2fd10dd00fc564e9a490a23 100644
--- a/manifests/batches/goedel_workbook/000819.json
+++ b/manifests/batches/goedel_workbook/000819.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000819",
   "batch_fingerprint": "670232fd0137790c2923156844428dd03e60f30aa17c716e56703e1d2325023c",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000819-0000-62ee40bac9f215bb.parquet",
-      "sha256": "62ee40bac9f215bb94c5cfba199c63be039125736b7856c8925f4d599d6e1638",
-      "bytes": 163311,
-      "rows": 43,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000819-0000-3d91b985d65ccfd9.parquet",
-      "sha256": "3d91b985d65ccfd92a3f35929a9810c97110bcdbb009b90366ef65ff332f75f7",
-      "bytes": 39393,
-      "rows": 1,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44232",
     "goedel_workbook:lean_workbook_plus_4424",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020492.lean\",\"f231f7a55ee4d4024cad868c7f6609ab9e3586dc07af040ed3896c356b229a6f\",0,\"lean_workbook_plus_44310\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020494.lean\",\"fdbff8d31be6ea617ff3eff042c125b4d311b64da6a9a54f238f2ea2efa6b6d1\",0,\"lean_workbook_plus_44317\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020497.lean\",\"7b760dd5e2dee45caa845bb65f8eb10b35566216e191293f3feccb567509e7e8\",0,\"lean_workbook_plus_44320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163311,
+      "path": "data/train/pe2/goedel_workbook-000819-0000-62ee40bac9f215bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "62ee40bac9f215bb94c5cfba199c63be039125736b7856c8925f4d599d6e1638"
+    },
+    {
+      "bytes": 39393,
+      "path": "data/internal_test/pe2/goedel_workbook-000819-0000-3d91b985d65ccfd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3d91b985d65ccfd92a3f35929a9810c97110bcdbb009b90366ef65ff332f75f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000820.json b/manifests/batches/goedel_workbook/000820.json
index c4eeccfa72174eeda14f940c2ed24d7bca301341..65f227fd7530d68719f6fc93fe157ce80645e774 100644
--- a/manifests/batches/goedel_workbook/000820.json
+++ b/manifests/batches/goedel_workbook/000820.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000820",
   "batch_fingerprint": "b302e4214548506bf1a8f22a82be1e211e0aa1dfe86d5dd26d8047c899a72299",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000820-0000-bd3a68959c3939f5.parquet",
-      "sha256": "bd3a68959c3939f5605acf61b6753952a64f88917e518e5ad2412c60c17bf5be",
-      "bytes": 199362,
-      "rows": 39,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000820-0000-8f64024dcd338ab6.parquet",
-      "sha256": "8f64024dcd338ab6062b25bf23e860f10c9ed0b0df239dff69b46c7a984fe69d",
-      "bytes": 34538,
-      "rows": 1,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000820-0000-ec9737956df97e4f.parquet",
-      "sha256": "ec9737956df97e4fa5471758537b6f7b2a7768522b6e0d9303ae166e2f91dde7",
-      "bytes": 38681,
-      "rows": 1,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44335",
     "goedel_workbook:lean_workbook_plus_44339",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020521.lean\",\"28ade3b987d475fac84fae43a0a1359a1e22548d8ae33a8e420991624fdb1230\",0,\"lean_workbook_plus_4443\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020523.lean\",\"4de01fcb0e9899acd4ba323fd3c0a3481f48ae9a038c7a2d34787f654cb710c7\",0,\"lean_workbook_plus_4444\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020524.lean\",\"b7fb327d01a6cdae8c85ebf8e01ae659c94fdb471fcb08775e96a6673bea2afa\",0,\"lean_workbook_plus_44446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199362,
+      "path": "data/train/p2c/goedel_workbook-000820-0000-bd3a68959c3939f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "bd3a68959c3939f5605acf61b6753952a64f88917e518e5ad2412c60c17bf5be"
+    },
+    {
+      "bytes": 34538,
+      "path": "data/dev/p2c/goedel_workbook-000820-0000-8f64024dcd338ab6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8f64024dcd338ab6062b25bf23e860f10c9ed0b0df239dff69b46c7a984fe69d"
+    },
+    {
+      "bytes": 38681,
+      "path": "data/internal_test/p2c/goedel_workbook-000820-0000-ec9737956df97e4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ec9737956df97e4fa5471758537b6f7b2a7768522b6e0d9303ae166e2f91dde7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000821.json b/manifests/batches/goedel_workbook/000821.json
index a23c048023e7224926eceac3be0a593988456a64..c01a55a38ea5e32d8dd7295f215c46f2c648011a 100644
--- a/manifests/batches/goedel_workbook/000821.json
+++ b/manifests/batches/goedel_workbook/000821.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000821",
   "batch_fingerprint": "e7545cd86d1b961d86e2efb7ad1e0cc5274f45e855ad57136b942f2ea520d6db",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000821-0000-5c19430360e6165e.parquet",
-      "sha256": "5c19430360e6165ebd3405c9e727021626225b12db00b6ad2d13a4bc55381dee",
-      "bytes": 101663,
-      "rows": 31,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000821-0000-fc0e00818af82fca.parquet",
-      "sha256": "fc0e00818af82fca87771b01e7e1fd52608237e255a058bf3feb52f4df702b9c",
-      "bytes": 29766,
-      "rows": 1,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000821-0000-2d8e0e76064d56ea.parquet",
-      "sha256": "2d8e0e76064d56eaa39fdd0bba12ef8b5cb172ec0992e0c54fa16c69c8f75426",
-      "bytes": 38855,
-      "rows": 9,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44452",
     "goedel_workbook:lean_workbook_plus_44469",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020547.lean\",\"1e2a5eb65c344dfc267dfa2bc84e5fab3279967f5e302c363a23ae40e0b56a0a\",0,\"lean_workbook_plus_44548\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020548.lean\",\"1ae75d053185bea8b25d1c3aa6ba39df8dcd066bc108833d3ae3f8aa72185f11\",0,\"lean_workbook_plus_44550\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020549.lean\",\"d92252adfe9763c8eecad65225074602d8fba7320ea5f49acc82b66bb54bd913\",0,\"lean_workbook_plus_44551\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101663,
+      "path": "data/train/pba/goedel_workbook-000821-0000-5c19430360e6165e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5c19430360e6165ebd3405c9e727021626225b12db00b6ad2d13a4bc55381dee"
+    },
+    {
+      "bytes": 29766,
+      "path": "data/dev/pba/goedel_workbook-000821-0000-fc0e00818af82fca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fc0e00818af82fca87771b01e7e1fd52608237e255a058bf3feb52f4df702b9c"
+    },
+    {
+      "bytes": 38855,
+      "path": "data/internal_test/pba/goedel_workbook-000821-0000-2d8e0e76064d56ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2d8e0e76064d56eaa39fdd0bba12ef8b5cb172ec0992e0c54fa16c69c8f75426"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000822.json b/manifests/batches/goedel_workbook/000822.json
index c6a735e0bb9bb1cbea587ea8998a3accb3da39f5..f98f1823afa2f4a15768b08b67cca43fb87c85bc 100644
--- a/manifests/batches/goedel_workbook/000822.json
+++ b/manifests/batches/goedel_workbook/000822.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000822",
   "batch_fingerprint": "55966de8e2d6de3fff7e5c71fc406c2f5ff336c8daec7138afb04d3b5c2c41fa",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000822-0000-f3041e94d06f9e52.parquet",
-      "sha256": "f3041e94d06f9e528a1a44a6488cd734031d1adb33d3ef47cd7a887975d087aa",
-      "bytes": 94189,
-      "rows": 26,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000822-0000-14cb67849ffeb70b.parquet",
-      "sha256": "14cb67849ffeb70bb80fbad366f2ba2f9c7ae1a494c11ed87cd12d44939e168a",
-      "bytes": 34307,
-      "rows": 2,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000822-0000-1cdbf2dddf9fc991.parquet",
-      "sha256": "1cdbf2dddf9fc9916f647402830465ed9d6649c30c00109a021040e826987ca2",
-      "bytes": 38046,
-      "rows": 3,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44553",
     "goedel_workbook:lean_workbook_plus_44554",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020571.lean\",\"a2f4b0e841e83fb032ad3aa5e0bc05e7bc6938cbec527ec5bfb9bf08275a792d\",0,\"lean_workbook_plus_44620\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020572.lean\",\"755d7cc7165d0ee2e09a2077781231df3867c24e6e125f110699e3c8c8b13891\",0,\"lean_workbook_plus_44637\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020574.lean\",\"079f70f2cd11f6dbeef39d819ca5745f0a699e2af843f1ff86e6facb2b8ba866\",0,\"lean_workbook_plus_44662\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94189,
+      "path": "data/train/p18/goedel_workbook-000822-0000-f3041e94d06f9e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f3041e94d06f9e528a1a44a6488cd734031d1adb33d3ef47cd7a887975d087aa"
+    },
+    {
+      "bytes": 34307,
+      "path": "data/dev/p18/goedel_workbook-000822-0000-14cb67849ffeb70b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "14cb67849ffeb70bb80fbad366f2ba2f9c7ae1a494c11ed87cd12d44939e168a"
+    },
+    {
+      "bytes": 38046,
+      "path": "data/internal_test/p18/goedel_workbook-000822-0000-1cdbf2dddf9fc991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1cdbf2dddf9fc9916f647402830465ed9d6649c30c00109a021040e826987ca2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000823.json b/manifests/batches/goedel_workbook/000823.json
index 0b3aafa06d4e2d1d40352c96ef8865e31917c080..72611dc7e9e064defcb3d4a5d9cdad54d67f55ee 100644
--- a/manifests/batches/goedel_workbook/000823.json
+++ b/manifests/batches/goedel_workbook/000823.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000823",
   "batch_fingerprint": "cf7d4c84f24490551c05345b41f16e4c007e54c5d2104a8c3c97e27bbde5dc84",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000823-0000-2bac73dc9df9b590.parquet",
-      "sha256": "2bac73dc9df9b5904347fc3525acf21a9ca0f0981450570b01269357a9b144c5",
-      "bytes": 160977,
-      "rows": 39,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44665",
     "goedel_workbook:lean_workbook_plus_44670",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020596.lean\",\"dcfda37d07a078960c92855f834d8d74df80af28bec4f53b62c26ce471c637db\",0,\"lean_workbook_plus_44797\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020598.lean\",\"5aa2594613d8973f167d4a52be1de014f3cb3407208ebc3c054a117173bb2649\",0,\"lean_workbook_plus_44803\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020599.lean\",\"0fddad4b5fb9039d6cfdb799e54a95812c7c825655d10025eb06b634a7cd1738\",0,\"lean_workbook_plus_44804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160977,
+      "path": "data/train/p91/goedel_workbook-000823-0000-2bac73dc9df9b590.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "2bac73dc9df9b5904347fc3525acf21a9ca0f0981450570b01269357a9b144c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000824.json b/manifests/batches/goedel_workbook/000824.json
index 7f96e62e96015142864e31bddf24095091612b76..53d353aa06469e9031cc112f1f1ec15c6b84a307 100644
--- a/manifests/batches/goedel_workbook/000824.json
+++ b/manifests/batches/goedel_workbook/000824.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000824",
   "batch_fingerprint": "8c2540f17540e135a5fc997bcc0157c76b5db7ef9010bf19478eceb60fac6567",
   "evidence": {
@@ -100,29 +99,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000824-0000-e0bea460ecf55ec2.parquet",
-      "sha256": "e0bea460ecf55ec240423fb6f97d0fee187590003a6ce9e285f2ea606faeb4c4",
-      "bytes": 185008,
-      "rows": 40,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000824-0000-6fe057be94624401.parquet",
-      "sha256": "6fe057be94624401a436ac433797d843dcbcc516c6837b0aaa5e51f44de69fef",
-      "bytes": 27049,
-      "rows": 1,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000824-0000-a9069573b702cdb5.parquet",
-      "sha256": "a9069573b702cdb594856eb205c8de42df545bc1550aaeb59973abe949ef1e3d",
-      "bytes": 35925,
-      "rows": 2,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44806",
     "goedel_workbook:lean_workbook_plus_44809",
@@ -168,5 +145,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020621.lean\",\"1b7547ccf48edc33764f7863371f32de10207f744949bd7811a21aa206e33445\",0,\"lean_workbook_plus_44908\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020622.lean\",\"963010394edf91b557c1e0827a83ba688049c6781d27485afb03e6bc2cf55df2\",0,\"lean_workbook_plus_44913\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020624.lean\",\"cd3babec857bd6a80234804745e8e219c2da6b1027cf0c5249be76ebe18b388b\",0,\"lean_workbook_plus_44925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185008,
+      "path": "data/train/p24/goedel_workbook-000824-0000-e0bea460ecf55ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e0bea460ecf55ec240423fb6f97d0fee187590003a6ce9e285f2ea606faeb4c4"
+    },
+    {
+      "bytes": 27049,
+      "path": "data/dev/p24/goedel_workbook-000824-0000-6fe057be94624401.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6fe057be94624401a436ac433797d843dcbcc516c6837b0aaa5e51f44de69fef"
+    },
+    {
+      "bytes": 35925,
+      "path": "data/internal_test/p24/goedel_workbook-000824-0000-a9069573b702cdb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a9069573b702cdb594856eb205c8de42df545bc1550aaeb59973abe949ef1e3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000825.json b/manifests/batches/goedel_workbook/000825.json
index 16c26f212948d46b82ab080bdbcb60ac752b5592..24d6932c4b55e9b9aa095ac157d405a2aed38ff8 100644
--- a/manifests/batches/goedel_workbook/000825.json
+++ b/manifests/batches/goedel_workbook/000825.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000825",
   "batch_fingerprint": "a48af3421ede9335ac69494e5afedb129bf9f8f90399fd2ec316bcc928d3ca02",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000825-0000-7d025d772fa76a72.parquet",
-      "sha256": "7d025d772fa76a72b1c716aada5c3a8b27152ff5856e7019911d7b1dc464b7c0",
-      "bytes": 141606,
-      "rows": 33,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000825-0000-4718acc51c0f0156.parquet",
-      "sha256": "4718acc51c0f015685b343001539ea98c0f512fc4965b28d712966b4479dce26",
-      "bytes": 53283,
-      "rows": 8,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_44927",
     "goedel_workbook:lean_workbook_plus_44935",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020646.lean\",\"e7cc0a689fbeb1e921794dd7c485bfb3458c3a1b2d4646c2b0cedfa3540907cd\",0,\"lean_workbook_plus_45015\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020647.lean\",\"c87860c1cbbe8093bdd1557c2cef86cc5b97b465a6ece309838c8de0482eb29d\",0,\"lean_workbook_plus_45016\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020649.lean\",\"6ce12f478f61573496408e928f4a3a024839bcb58703a1b40e88c912344cacef\",0,\"lean_workbook_plus_45021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141606,
+      "path": "data/train/p92/goedel_workbook-000825-0000-7d025d772fa76a72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "7d025d772fa76a72b1c716aada5c3a8b27152ff5856e7019911d7b1dc464b7c0"
+    },
+    {
+      "bytes": 53283,
+      "path": "data/internal_test/p92/goedel_workbook-000825-0000-4718acc51c0f0156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4718acc51c0f015685b343001539ea98c0f512fc4965b28d712966b4479dce26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000826.json b/manifests/batches/goedel_workbook/000826.json
index 4054c77e5ac276efa911a127174a1d15f2c16615..39378400d3ff183809c634d036f817ab95a7dc89 100644
--- a/manifests/batches/goedel_workbook/000826.json
+++ b/manifests/batches/goedel_workbook/000826.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000826",
   "batch_fingerprint": "17b807409d5e5e06999fa75e127711d7e3090d2f2925707c7a2e1be79f1f0255",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000826-0000-53cb545d2cef6fba.parquet",
-      "sha256": "53cb545d2cef6fba7150fc38d793868af573d732b4a9218981c85bf8cb4c6639",
-      "bytes": 146668,
-      "rows": 32,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45026",
     "goedel_workbook:lean_workbook_plus_45031",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020664.lean\",\"db49a77f80e819cbd6dc347af9044607f9c7f2a4b334f25a50e3b3de32ead0e4\",0,\"lean_workbook_plus_45086\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020667.lean\",\"ef78638f81c1bc139dcb0a5fd7e4f7a9ea5ca4e5eb3c3475ac0dc043ad9b5129\",0,\"lean_workbook_plus_45103\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020672.lean\",\"6af16d5ef231ce916c84c5431499d41beb463ea0d0551054d0f2b58115325e3e\",0,\"lean_workbook_plus_45115\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146668,
+      "path": "data/train/pdf/goedel_workbook-000826-0000-53cb545d2cef6fba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "53cb545d2cef6fba7150fc38d793868af573d732b4a9218981c85bf8cb4c6639"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000827.json b/manifests/batches/goedel_workbook/000827.json
index 0822f82040728b4d3c907ebc34a7ac75e8b44c19..29bd67e10f77643c7956d22d4d034f123658f094 100644
--- a/manifests/batches/goedel_workbook/000827.json
+++ b/manifests/batches/goedel_workbook/000827.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000827",
   "batch_fingerprint": "33c2b903cad10a8ade270f29a74a482c83e07a80e588ce850399e822ab68529c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000827-0000-128a533445ff84dc.parquet",
-      "sha256": "128a533445ff84dca0cdcad508c627915bfc1ddc8438d76522f55ef231e3f4eb",
-      "bytes": 147010,
-      "rows": 32,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000827-0000-38a523c552d5b806.parquet",
-      "sha256": "38a523c552d5b806d3c06fa525431388bd33e06ab2b42552725c5fcc6e904cf8",
-      "bytes": 152088,
-      "rows": 7,
-      "revision": "2bcf1b08bfa91dbd4b73cbd506eb905d8b97b90e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45127",
     "goedel_workbook:lean_workbook_plus_45137",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020696.lean\",\"8a80885b2793bc894fba05039c92c3a09d6c8e37a99b24d3f95ec66cba91b9ad\",0,\"lean_workbook_plus_45233\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020698.lean\",\"7ceede2aa8c482c0e97651a560345533e319f10928b5ab8c63cbfbf3755422b4\",0,\"lean_workbook_plus_45237\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020699.lean\",\"846e0cb7f7353ff8f2db8cc4671af6e84b2cc3cfb9b2029d8bf2c453956d14c1\",0,\"lean_workbook_plus_45240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147010,
+      "path": "data/train/pf8/goedel_workbook-000827-0000-128a533445ff84dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "128a533445ff84dca0cdcad508c627915bfc1ddc8438d76522f55ef231e3f4eb"
+    },
+    {
+      "bytes": 152088,
+      "path": "data/dev/pf8/goedel_workbook-000827-0000-38a523c552d5b806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "38a523c552d5b806d3c06fa525431388bd33e06ab2b42552725c5fcc6e904cf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000828.json b/manifests/batches/goedel_workbook/000828.json
index 0b96a954d01d09aa74d83872dc22ccda71595ed5..2072c5ae65df1706049844f5c4f483ae330e9a73 100644
--- a/manifests/batches/goedel_workbook/000828.json
+++ b/manifests/batches/goedel_workbook/000828.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000828",
   "batch_fingerprint": "d6e00881179587f9c894d7122a933a2cff8ff04c037926a4426e743ad24d8e28",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000828-0000-573abdf7540ff907.parquet",
-      "sha256": "573abdf7540ff907119f0fb6c02771df340b4fa52a3b0827e4b8433bc7e4a729",
-      "bytes": 184339,
-      "rows": 39,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000828-0000-233abcd7918ee4d9.parquet",
-      "sha256": "233abcd7918ee4d9d9da18d0faffd3f5f1757ce09cc561b72cb5a57b07a2f8e3",
-      "bytes": 42975,
-      "rows": 7,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45241",
     "goedel_workbook:lean_workbook_plus_45242",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020720.lean\",\"1650d66c6aa634905597f16f6bd3d81e6c5295eeb09d5674533c0b97588cbab5\",0,\"lean_workbook_plus_45365\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020722.lean\",\"a78beae02fa9ef227a35004d2f056dc8d848e1499933e1d5b7fdfeebdfc4b7a4\",0,\"lean_workbook_plus_45372\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020723.lean\",\"12b2ae42ab8398d62a62fbf697938337e85da3b9e9036e2ea8c2e2e2e97f233f\",0,\"lean_workbook_plus_45373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184339,
+      "path": "data/train/p79/goedel_workbook-000828-0000-573abdf7540ff907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "573abdf7540ff907119f0fb6c02771df340b4fa52a3b0827e4b8433bc7e4a729"
+    },
+    {
+      "bytes": 42975,
+      "path": "data/internal_test/p79/goedel_workbook-000828-0000-233abcd7918ee4d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "233abcd7918ee4d9d9da18d0faffd3f5f1757ce09cc561b72cb5a57b07a2f8e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000829.json b/manifests/batches/goedel_workbook/000829.json
index 35f67b543a53be9460aaa93d23e03d08d9a6a313..0ff2a1d734450194d795cc689a4597c5195a02ec 100644
--- a/manifests/batches/goedel_workbook/000829.json
+++ b/manifests/batches/goedel_workbook/000829.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000829",
   "batch_fingerprint": "8abfc1bc157a345c6851874ecbb90d7baa76439b5452e2986978a347c75bfb14",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000829-0000-f88ac3d5e389b73a.parquet",
-      "sha256": "f88ac3d5e389b73aa6ea87ab3d5bed701fbc015a263e7902bcd7e9bd33358a7d",
-      "bytes": 150961,
-      "rows": 35,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000829-0000-947f2b683ecc7d48.parquet",
-      "sha256": "947f2b683ecc7d484e434272e12282296871622c4a6c33b3d8764dcb905514dc",
-      "bytes": 40575,
-      "rows": 1,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45385",
     "goedel_workbook:lean_workbook_plus_45391",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020747.lean\",\"f18f5f7f42f4eb532e3f4527e5a5eca4a1255bf351db481a3c53848b5a94e374\",0,\"lean_workbook_plus_45517\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020748.lean\",\"83c5ac0f36b73f9bf023f3f3c50f7ec5be0e0f2da21aec2b5fd383172f69cb10\",0,\"lean_workbook_plus_45518\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020749.lean\",\"b0a67b9fad10cd9fd2e6f3636af93bdf6fb3a4d0221fee7821d104c4f80ebdef\",0,\"lean_workbook_plus_45519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150961,
+      "path": "data/train/p4f/goedel_workbook-000829-0000-f88ac3d5e389b73a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f88ac3d5e389b73aa6ea87ab3d5bed701fbc015a263e7902bcd7e9bd33358a7d"
+    },
+    {
+      "bytes": 40575,
+      "path": "data/internal_test/p4f/goedel_workbook-000829-0000-947f2b683ecc7d48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "947f2b683ecc7d484e434272e12282296871622c4a6c33b3d8764dcb905514dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000830.json b/manifests/batches/goedel_workbook/000830.json
index 1eac4cc03aacc0545cde2601fe00354671989945..d617d5499f8072839c85bbdd626a82a89b4a8f77 100644
--- a/manifests/batches/goedel_workbook/000830.json
+++ b/manifests/batches/goedel_workbook/000830.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000830",
   "batch_fingerprint": "de8066031885070cb5902a6904574bc5ed208643d29b51d72f4cd01201ea2540",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000830-0000-58f2fca6d1a8af18.parquet",
-      "sha256": "58f2fca6d1a8af1823028fdb869477d942e91f36eee3e8b456fa16ff7ef04d06",
-      "bytes": 129769,
-      "rows": 28,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000830-0000-b0c65ce09e31d924.parquet",
-      "sha256": "b0c65ce09e31d92447f91dd7028ad0098acaef3a12724890233a8f31e5a811ba",
-      "bytes": 32041,
-      "rows": 2,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000830-0000-eef5ec6aad060c67.parquet",
-      "sha256": "eef5ec6aad060c67a2350150ac17ae3fdb0d52ce26e37060097dfba4b911b2f2",
-      "bytes": 89208,
-      "rows": 16,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45521",
     "goedel_workbook:lean_workbook_plus_45523",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020771.lean\",\"aeac118258ef38a4151121a122b5c123f1bb6cb3e37717125ce9a1258081de30\",0,\"lean_workbook_plus_45659\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020773.lean\",\"6dcf5cea2971479e6c549cfb9cf739a3ab74b2de40d2e14bae810dbd6b07765c\",0,\"lean_workbook_plus_45670\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020774.lean\",\"c81f6d2051f23695a41623c3fa27c887710c174830466dd053e7bc5818f5a941\",0,\"lean_workbook_plus_45671\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129769,
+      "path": "data/train/p4b/goedel_workbook-000830-0000-58f2fca6d1a8af18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "58f2fca6d1a8af1823028fdb869477d942e91f36eee3e8b456fa16ff7ef04d06"
+    },
+    {
+      "bytes": 32041,
+      "path": "data/dev/p4b/goedel_workbook-000830-0000-b0c65ce09e31d924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b0c65ce09e31d92447f91dd7028ad0098acaef3a12724890233a8f31e5a811ba"
+    },
+    {
+      "bytes": 89208,
+      "path": "data/internal_test/p4b/goedel_workbook-000830-0000-eef5ec6aad060c67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "eef5ec6aad060c67a2350150ac17ae3fdb0d52ce26e37060097dfba4b911b2f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000831.json b/manifests/batches/goedel_workbook/000831.json
index aee320b58c78aef74fedb3e6a19223863b6466fa..089653f932842e965a8dd22c2f6c19955af68c8e 100644
--- a/manifests/batches/goedel_workbook/000831.json
+++ b/manifests/batches/goedel_workbook/000831.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000831",
   "batch_fingerprint": "74a8b23086647785f1ef3839fac8ed332787772af5086c8d8e3dea762dcc070c",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000831-0000-b7bfa2b0df746ec3.parquet",
-      "sha256": "b7bfa2b0df746ec330cb801ff5a109cedc84cb798e16c9b86821e9263d4a0a1a",
-      "bytes": 108342,
-      "rows": 29,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000831-0000-f4587dace2e011a0.parquet",
-      "sha256": "f4587dace2e011a076addf7a608e0de7ae7bef5fa15e3b684d707c68791d8c59",
-      "bytes": 78845,
-      "rows": 15,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45672",
     "goedel_workbook:lean_workbook_plus_45673",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020795.lean\",\"e8c3ea04f90b02bc2cb7f9840bb188982a3530fdb83e77103fc38793e9c5f6bd\",0,\"lean_workbook_plus_45791\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020796.lean\",\"6b108809de284843504e1a15b8e232cbbfc2b7b974c99e62d2fa4b1b6203011f\",0,\"lean_workbook_plus_45794\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020798.lean\",\"54dfa5fe27aea9e23878f7f9d1e247e0dc403a6e0905353dfff27483206d9091\",0,\"lean_workbook_plus_45812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108342,
+      "path": "data/train/pb1/goedel_workbook-000831-0000-b7bfa2b0df746ec3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b7bfa2b0df746ec330cb801ff5a109cedc84cb798e16c9b86821e9263d4a0a1a"
+    },
+    {
+      "bytes": 78845,
+      "path": "data/internal_test/pb1/goedel_workbook-000831-0000-f4587dace2e011a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f4587dace2e011a076addf7a608e0de7ae7bef5fa15e3b684d707c68791d8c59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000832.json b/manifests/batches/goedel_workbook/000832.json
index 8ff320b357299d72f72d8c696fb62c28f8a523e3..ac4bafce51a73ac42f6664aeb78147a18f6cce20 100644
--- a/manifests/batches/goedel_workbook/000832.json
+++ b/manifests/batches/goedel_workbook/000832.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000832",
   "batch_fingerprint": "8734b7a3df9aa6b571de4fe8ef1e9847227227ecd0bd8df43641e828cff4686e",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000832-0000-01e594b76af71bc7.parquet",
-      "sha256": "01e594b76af71bc7eb6885c926574125deebe3dcb80dde58456e564ca405bc78",
-      "bytes": 83634,
-      "rows": 19,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000832-0000-e45063435e23b253.parquet",
-      "sha256": "e45063435e23b253a2132e1cb94531151f5bbbfdcd9755aea8b01ada9ca54a50",
-      "bytes": 59877,
-      "rows": 6,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_4582",
     "goedel_workbook:lean_workbook_plus_45825",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020814.lean\",\"8132fcb9990f224c21b002aef08a1b003f0b6ce1043ce70c20a3c212911933a1\",0,\"lean_workbook_plus_45870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020819.lean\",\"86adfaba183c1ed359af7366720ea540de69df105689ea401849dcb57f279453\",0,\"lean_workbook_plus_45884\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020822.lean\",\"cd5372865f89396b54ab721c61754f8bc52b9808539d84b95cdf13ac332c2180\",0,\"lean_workbook_plus_4590\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83634,
+      "path": "data/train/pf8/goedel_workbook-000832-0000-01e594b76af71bc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "01e594b76af71bc7eb6885c926574125deebe3dcb80dde58456e564ca405bc78"
+    },
+    {
+      "bytes": 59877,
+      "path": "data/internal_test/pf8/goedel_workbook-000832-0000-e45063435e23b253.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e45063435e23b253a2132e1cb94531151f5bbbfdcd9755aea8b01ada9ca54a50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000833.json b/manifests/batches/goedel_workbook/000833.json
index b1a39b783502ad9758fd31788f476850cfb8ddcf..583f7fc3ea6517b1ee90cfff18f4b12ad1e9ac46 100644
--- a/manifests/batches/goedel_workbook/000833.json
+++ b/manifests/batches/goedel_workbook/000833.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000833",
   "batch_fingerprint": "11133aef734e18d53e55a7f174096db4c1dbe2c51ab96b43f2e8e47e246a880a",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000833-0000-de52d006a3784773.parquet",
-      "sha256": "de52d006a3784773ffec0d8a1978a6b9e44dcd716d32ce2baf7fb4d620eb3103",
-      "bytes": 178371,
-      "rows": 35,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000833-0000-919f1e18f50a1092.parquet",
-      "sha256": "919f1e18f50a1092b8ade2eeb877f9a80905c363de1199f8f3f134c95a354318",
-      "bytes": 87626,
-      "rows": 20,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000833-0000-65cbbc0e825d808a.parquet",
-      "sha256": "65cbbc0e825d808a6a005120f1634a1687f4951eb41adeb3a810d3187d519db5",
-      "bytes": 28218,
-      "rows": 1,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_45907",
     "goedel_workbook:lean_workbook_plus_45916",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020846.lean\",\"fc9fdca4d2c041c65c51e24ca01bb6eac69890c56b0f4447e7e43cb9431a472c\",0,\"lean_workbook_plus_46016\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020848.lean\",\"99f0804aa661ba007c9d6febbf08c89041d33cb857a643a68a769a207065ad0e\",0,\"lean_workbook_plus_46026\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020849.lean\",\"4a1c9830adfe92d9b73bb1157473db08fb86807e1b7a9b066f064754875fc686\",0,\"lean_workbook_plus_46031\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178371,
+      "path": "data/train/pbe/goedel_workbook-000833-0000-de52d006a3784773.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "de52d006a3784773ffec0d8a1978a6b9e44dcd716d32ce2baf7fb4d620eb3103"
+    },
+    {
+      "bytes": 87626,
+      "path": "data/dev/pbe/goedel_workbook-000833-0000-919f1e18f50a1092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "919f1e18f50a1092b8ade2eeb877f9a80905c363de1199f8f3f134c95a354318"
+    },
+    {
+      "bytes": 28218,
+      "path": "data/internal_test/pbe/goedel_workbook-000833-0000-65cbbc0e825d808a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "65cbbc0e825d808a6a005120f1634a1687f4951eb41adeb3a810d3187d519db5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000834.json b/manifests/batches/goedel_workbook/000834.json
index 5fd7c08fdde2a284acc44c702f7cb257ff6fdc77..79fdb17fa9e303597bdb9214c7277da7ed04968a 100644
--- a/manifests/batches/goedel_workbook/000834.json
+++ b/manifests/batches/goedel_workbook/000834.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000834",
   "batch_fingerprint": "0d8ab90f32bc4c59ed3550ad66522a3c73cc12d577f92c08451f97b747d2691b",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000834-0000-df55ec8943a0b33f.parquet",
-      "sha256": "df55ec8943a0b33f2f62928b8612d5c7858f2827a66bfe9b8605e850085f3a13",
-      "bytes": 177029,
-      "rows": 44,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000834-0000-9c54b3ee57aaf341.parquet",
-      "sha256": "9c54b3ee57aaf3419d44bac106799aa470e96ce3bb3bdbedd6236cb4c9dca5da",
-      "bytes": 45665,
-      "rows": 6,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46033",
     "goedel_workbook:lean_workbook_plus_46036",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020870.lean\",\"f7d0ddb9eb6174687328c04945829b518abc604e125efedf893b5163ae7e3848\",0,\"lean_workbook_plus_46119\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020871.lean\",\"0925bbae34aa4c1bfc9f010aab5d6234536008219baf979e9840b0bd81b8c811\",0,\"lean_workbook_plus_46120\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020872.lean\",\"ec950c29ba3afe5d9b2bb85697a49a71047712cb6bddc314394e704a9592f1dd\",0,\"lean_workbook_plus_46121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177029,
+      "path": "data/train/pad/goedel_workbook-000834-0000-df55ec8943a0b33f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "df55ec8943a0b33f2f62928b8612d5c7858f2827a66bfe9b8605e850085f3a13"
+    },
+    {
+      "bytes": 45665,
+      "path": "data/internal_test/pad/goedel_workbook-000834-0000-9c54b3ee57aaf341.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9c54b3ee57aaf3419d44bac106799aa470e96ce3bb3bdbedd6236cb4c9dca5da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000835.json b/manifests/batches/goedel_workbook/000835.json
index 04da10a4e9f05581362b4cbd4fda2538c10cf577..103ad13329d9090e1a987e0961ae6a67e2e46e3e 100644
--- a/manifests/batches/goedel_workbook/000835.json
+++ b/manifests/batches/goedel_workbook/000835.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000835",
   "batch_fingerprint": "a3ad232bc25e31c5c1fd4526788f8a4673788da3fa64a73d2da34fb846c80ca7",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000835-0000-7c75ffcd7cfaaadb.parquet",
-      "sha256": "7c75ffcd7cfaaadba33d70c24e55ae58782f21b274bbc135ee59f7d5bf58b05b",
-      "bytes": 95825,
-      "rows": 29,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000835-0000-b9322e04415fefd4.parquet",
-      "sha256": "b9322e04415fefd4f9467bcd8f850a6e9be83bca59cb1dc86823c61b5bd3e0ad",
-      "bytes": 37250,
-      "rows": 2,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46133",
     "goedel_workbook:lean_workbook_plus_46137",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020897.lean\",\"b9622bfb0ae505cbba80460e2415503b60bf772ae873d56ad6641d2b81832d0c\",0,\"lean_workbook_plus_46242\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020898.lean\",\"5393dbd1408b1b2e987d0ba300564044e05e75ca51da44642654ca8ac72eb881\",0,\"lean_workbook_plus_46244\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020899.lean\",\"5e00ee64500ffabe7a568c09bbfbe82df8e2b3767a70de523ed83b1292a02259\",0,\"lean_workbook_plus_4625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95825,
+      "path": "data/train/p98/goedel_workbook-000835-0000-7c75ffcd7cfaaadb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7c75ffcd7cfaaadba33d70c24e55ae58782f21b274bbc135ee59f7d5bf58b05b"
+    },
+    {
+      "bytes": 37250,
+      "path": "data/internal_test/p98/goedel_workbook-000835-0000-b9322e04415fefd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b9322e04415fefd4f9467bcd8f850a6e9be83bca59cb1dc86823c61b5bd3e0ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000836.json b/manifests/batches/goedel_workbook/000836.json
index c45385b2da81639b0c1052877f5d6df911b11744..072272eff66cf586003441a87bae728e689a4b41 100644
--- a/manifests/batches/goedel_workbook/000836.json
+++ b/manifests/batches/goedel_workbook/000836.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000836",
   "batch_fingerprint": "d2e220acda1f2b069753908ec32dc5a67b2b8655df5e6a1644031bd745dce605",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000836-0000-108887bdf193d4af.parquet",
-      "sha256": "108887bdf193d4af6498233590d7a724f47c554d109b110bd268bd8dd712dc77",
-      "bytes": 104982,
-      "rows": 26,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000836-0000-584fab73a748b2bd.parquet",
-      "sha256": "584fab73a748b2bd37835c8c40975c2c7e36720cf68550355f227d1976377823",
-      "bytes": 38739,
-      "rows": 5,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000836-0000-07191881c5ad1614.parquet",
-      "sha256": "07191881c5ad161453777dba6faa62214132b25aef5d37aa4040fc3e235d568b",
-      "bytes": 25111,
-      "rows": 1,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46256",
     "goedel_workbook:lean_workbook_plus_46273",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020918.lean\",\"ec19873c7bd46a8618243db12a965b4c5670712f5580a6028a8ba5ade90a4450\",0,\"lean_workbook_plus_46334\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020921.lean\",\"c19fdad3477dafa312b5a0ffda590ea707a57de08b108bb08123efb8ce0dffd2\",0,\"lean_workbook_plus_4636\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020924.lean\",\"a8ad15bba4569c185fb84ce5037ab4b68e9816729d83f77f44ea4c8254233e74\",0,\"lean_workbook_plus_4637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104982,
+      "path": "data/train/p37/goedel_workbook-000836-0000-108887bdf193d4af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "108887bdf193d4af6498233590d7a724f47c554d109b110bd268bd8dd712dc77"
+    },
+    {
+      "bytes": 38739,
+      "path": "data/dev/p37/goedel_workbook-000836-0000-584fab73a748b2bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "584fab73a748b2bd37835c8c40975c2c7e36720cf68550355f227d1976377823"
+    },
+    {
+      "bytes": 25111,
+      "path": "data/internal_test/p37/goedel_workbook-000836-0000-07191881c5ad1614.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "07191881c5ad161453777dba6faa62214132b25aef5d37aa4040fc3e235d568b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000837.json b/manifests/batches/goedel_workbook/000837.json
index 1368ba4b32a2f4c4dc03a737d89338fce62c08c1..b44d810acf64dacea58664cb41998a62a4bd797a 100644
--- a/manifests/batches/goedel_workbook/000837.json
+++ b/manifests/batches/goedel_workbook/000837.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000837",
   "batch_fingerprint": "aed99cd4febe3e3a2a113ee7430e84415bc023cfd34594442fee26ab7ff9563d",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000837-0000-e5c7bf538cb4e45a.parquet",
-      "sha256": "e5c7bf538cb4e45a81d68a7bbef8d4667b7b54f34ff71a214c0baa8144ee566f",
-      "bytes": 124819,
-      "rows": 33,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000837-0000-9922275a09a8c322.parquet",
-      "sha256": "9922275a09a8c322f041b475d574b7452e660719d2df51c9fc0f2ff1f9667d58",
-      "bytes": 38575,
-      "rows": 3,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46374",
     "goedel_workbook:lean_workbook_plus_46376",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020946.lean\",\"6553df82f64a1532c5d31abee9f4548acbb24a85e0235719e8915457cd0e27dd\",0,\"lean_workbook_plus_46472\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020947.lean\",\"a2a4eac7090a315382df59b69367daa7c9f7bf03e68c68fdc63404ad1bf111fe\",0,\"lean_workbook_plus_46479\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020949.lean\",\"b547ab39318a34d91b8763fe96160e423171b8af92ca9e621abfef9adeef413b\",0,\"lean_workbook_plus_46480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124819,
+      "path": "data/train/p00/goedel_workbook-000837-0000-e5c7bf538cb4e45a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e5c7bf538cb4e45a81d68a7bbef8d4667b7b54f34ff71a214c0baa8144ee566f"
+    },
+    {
+      "bytes": 38575,
+      "path": "data/dev/p00/goedel_workbook-000837-0000-9922275a09a8c322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9922275a09a8c322f041b475d574b7452e660719d2df51c9fc0f2ff1f9667d58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000838.json b/manifests/batches/goedel_workbook/000838.json
index 1f868f68b478bec723a2ffb891d674ff6038c78e..5b58b4d83cd157893c11bbae26724828e3ad3b5b 100644
--- a/manifests/batches/goedel_workbook/000838.json
+++ b/manifests/batches/goedel_workbook/000838.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000838",
   "batch_fingerprint": "9794267ce3da1fce165f82270463d0ccf44ec0ec2b189da78ebba62d0c3d1c48",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000838-0000-c07a4cfdbaf6b184.parquet",
-      "sha256": "c07a4cfdbaf6b1843bf7fca62a1affa1c28cffe141c5d5dccaefc3273d4a3209",
-      "bytes": 111603,
-      "rows": 17,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000838-0000-4e6b998b9eeb0eeb.parquet",
-      "sha256": "4e6b998b9eeb0eeb2df51383404a9e4a3ba2c6c42301a4405cbc5fbd947f18fc",
-      "bytes": 33347,
-      "rows": 2,
-      "revision": "ffa0c45bce4f49ade1f5fe67075a3b8c69233119"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46486",
     "goedel_workbook:lean_workbook_plus_46511",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020971.lean\",\"c58afb9bb7e3aa39eb9371b6417d61cb9cdf27f53ee7d4fe20c4a044f6a58170\",0,\"lean_workbook_plus_46585\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020973.lean\",\"f7a1677ccccf0a1d9f9b09370f3f6e44554b9c78b50da52ffa6f3e52e8a8f4c1\",0,\"lean_workbook_plus_46589\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020974.lean\",\"e022270110c19397f446b4bc9371dcfffd2aa2200a19ea48ec41b6e76f0c2dc8\",0,\"lean_workbook_plus_46596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111603,
+      "path": "data/train/pb6/goedel_workbook-000838-0000-c07a4cfdbaf6b184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c07a4cfdbaf6b1843bf7fca62a1affa1c28cffe141c5d5dccaefc3273d4a3209"
+    },
+    {
+      "bytes": 33347,
+      "path": "data/dev/pb6/goedel_workbook-000838-0000-4e6b998b9eeb0eeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4e6b998b9eeb0eeb2df51383404a9e4a3ba2c6c42301a4405cbc5fbd947f18fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000839.json b/manifests/batches/goedel_workbook/000839.json
index cd4dbb650ee3df8cdef64cf70224a4a1e4e0de1f..d5cac42461418d835c23ca34f76ab3a821c540a8 100644
--- a/manifests/batches/goedel_workbook/000839.json
+++ b/manifests/batches/goedel_workbook/000839.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000839",
   "batch_fingerprint": "3cc92dbd6a08061de50b2a1272e3ca4dda6ad483b01d0dac5df5a25ff96e6890",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000839-0000-28710278cc348989.parquet",
-      "sha256": "28710278cc3489897c65af708f5e9cd6786537531b16e06eab87d14fa2c747a0",
-      "bytes": 208265,
-      "rows": 50,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000839-0000-7ca2857c527702cb.parquet",
-      "sha256": "7ca2857c527702cb357ff178137784b6536c3faf0f311fc778cb51868b22bbdc",
-      "bytes": 84675,
-      "rows": 6,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46600",
     "goedel_workbook:lean_workbook_plus_46622",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020993.lean\",\"0c9149f20370c5e80a9b43df25fb452e125be1ff1a6eeb3d25181e6715b0458d\",0,\"lean_workbook_plus_46668\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020995.lean\",\"7c276d097cf6650159fa98fa96eff88d6fea414a0b40a81159a4d65bd78e4665\",0,\"lean_workbook_plus_46671\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_020999.lean\",\"75fdb2cf86799ab65eb364a41526680cb038ac47d0f4b9b6a18fb539c0378092\",0,\"lean_workbook_plus_46698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208265,
+      "path": "data/train/p13/goedel_workbook-000839-0000-28710278cc348989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "28710278cc3489897c65af708f5e9cd6786537531b16e06eab87d14fa2c747a0"
+    },
+    {
+      "bytes": 84675,
+      "path": "data/internal_test/p13/goedel_workbook-000839-0000-7ca2857c527702cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7ca2857c527702cb357ff178137784b6536c3faf0f311fc778cb51868b22bbdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000840.json b/manifests/batches/goedel_workbook/000840.json
index ee57918d304d532d53cdb6b6453f0c68989f2257..d0fa419efc57bb16a0f43e2150900bf44098339a 100644
--- a/manifests/batches/goedel_workbook/000840.json
+++ b/manifests/batches/goedel_workbook/000840.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000840",
   "batch_fingerprint": "52113f185e1987ce4928e2b119d42ad21f45098f38c126260d4c673cdcc35f2f",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000840-0000-b57c0cd9d74ff378.parquet",
-      "sha256": "b57c0cd9d74ff37815558c7daa277a60f3e5c918bc3534b847c36d4ff7fd22d0",
-      "bytes": 95191,
-      "rows": 25,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000840-0000-94fd09ee678f5155.parquet",
-      "sha256": "94fd09ee678f5155bc218588a8473aa7229359652d5f8cee32e01dd17cc2c056",
-      "bytes": 33096,
-      "rows": 4,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46738",
     "goedel_workbook:lean_workbook_plus_46743",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021021.lean\",\"65711bdcd66e4a11733bf1d36a67fde1e9f6663bb69df966636a45b70ca91315\",0,\"lean_workbook_plus_46818\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021023.lean\",\"fc1869357b658ce03ec2a98bd5bb750974b9dde45d99d7de757a724b55db87e6\",0,\"lean_workbook_plus_46821\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021024.lean\",\"929e1d4516a196f50b0e5c3f2b49de7c2e6a29a8d7ee0317e1627edba066d2ab\",0,\"lean_workbook_plus_46823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95191,
+      "path": "data/train/p9b/goedel_workbook-000840-0000-b57c0cd9d74ff378.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b57c0cd9d74ff37815558c7daa277a60f3e5c918bc3534b847c36d4ff7fd22d0"
+    },
+    {
+      "bytes": 33096,
+      "path": "data/internal_test/p9b/goedel_workbook-000840-0000-94fd09ee678f5155.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "94fd09ee678f5155bc218588a8473aa7229359652d5f8cee32e01dd17cc2c056"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000841.json b/manifests/batches/goedel_workbook/000841.json
index ebd5c948140badf99855b02098f62aa56164d04d..64a688f1e3a9bb167053277bcf62fd482744f4e8 100644
--- a/manifests/batches/goedel_workbook/000841.json
+++ b/manifests/batches/goedel_workbook/000841.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000841",
   "batch_fingerprint": "9fc60440c9b2593fd7ca052d2a05db2b0af6933c0fa0698def2f11eb0a72fd2f",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000841-0000-b3edddff44dfd9d6.parquet",
-      "sha256": "b3edddff44dfd9d6549b9e59027195013598030f127dd81cb66ef4d6ac9871b8",
-      "bytes": 179106,
-      "rows": 42,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000841-0000-830603d0889e7e94.parquet",
-      "sha256": "830603d0889e7e945004eb39c4dc4907b71b402605d552beaed3ac82b9005a6a",
-      "bytes": 47787,
-      "rows": 6,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46829",
     "goedel_workbook:lean_workbook_plus_46832",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021043.lean\",\"7f38970ff5161f0c69afdfd39d94a24a55468fe2c9e1b93995f9bde3610716e6\",0,\"lean_workbook_plus_46940\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021045.lean\",\"ad8ad95e4ffb815f56ab84621f268c56edd41c7adc524d99f5851cc457dcc7ea\",0,\"lean_workbook_plus_46963\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021046.lean\",\"af3ecdcc05e17bdc8b9dd5b0ee44f39c3e18188f4b6fde5d7b2ff66c47c1b609\",0,\"lean_workbook_plus_46969\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179106,
+      "path": "data/train/pf1/goedel_workbook-000841-0000-b3edddff44dfd9d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b3edddff44dfd9d6549b9e59027195013598030f127dd81cb66ef4d6ac9871b8"
+    },
+    {
+      "bytes": 47787,
+      "path": "data/dev/pf1/goedel_workbook-000841-0000-830603d0889e7e94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "830603d0889e7e945004eb39c4dc4907b71b402605d552beaed3ac82b9005a6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000842.json b/manifests/batches/goedel_workbook/000842.json
index 34db8f10b643cb1bf6d3f2363bb908a00bbd8809..54ea938377982c24c6e48f2f3eb2b67357b19e3a 100644
--- a/manifests/batches/goedel_workbook/000842.json
+++ b/manifests/batches/goedel_workbook/000842.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000842",
   "batch_fingerprint": "768e698a564f0ffdac2b9adaf6034e08087011c95c483765d270d78719ec6a11",
   "evidence": {
@@ -136,22 +135,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000842-0000-6734d44f2a23096d.parquet",
-      "sha256": "6734d44f2a23096d693e66baf474ef6ce0554243a2f8cc84e99129fb18095ea7",
-      "bytes": 162509,
-      "rows": 36,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000842-0000-0e3eb7710e1618fe.parquet",
-      "sha256": "0e3eb7710e1618fe2ae0ba8f18bff9cbfeb504063829621078dbfa585ca6354d",
-      "bytes": 27522,
-      "rows": 1,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_46976",
     "goedel_workbook:lean_workbook_plus_46978",
@@ -193,5 +177,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021072.lean\",\"b335764744f1ea04dfb9f1b2ab05ef0d54c4ffa25d6b1d04465c5d872a0967d7\",0,\"lean_workbook_plus_4705\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021073.lean\",\"d0c8c78f25381b643d57c73ddf46018ef508f72a9abd119f01543e1952962428\",0,\"lean_workbook_plus_47050\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021074.lean\",\"f2391d38bca955fa61b0c882f136b70d0fec15a7798f82c1f5b6de58a52ec545\",0,\"lean_workbook_plus_47052\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162509,
+      "path": "data/train/pad/goedel_workbook-000842-0000-6734d44f2a23096d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "6734d44f2a23096d693e66baf474ef6ce0554243a2f8cc84e99129fb18095ea7"
+    },
+    {
+      "bytes": 27522,
+      "path": "data/dev/pad/goedel_workbook-000842-0000-0e3eb7710e1618fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e3eb7710e1618fe2ae0ba8f18bff9cbfeb504063829621078dbfa585ca6354d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000843.json b/manifests/batches/goedel_workbook/000843.json
index 56c96e3fce4821d27f86c150245041533567b8a9..9586d4e8d687f28aada7619014dfc5195294aec9 100644
--- a/manifests/batches/goedel_workbook/000843.json
+++ b/manifests/batches/goedel_workbook/000843.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000843",
   "batch_fingerprint": "6048f99d7cb4e0e07670339ddcf53fb01539c33bf576ff2b5e6f6fb7ee950f29",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000843-0000-4b19bbf43b98ba8c.parquet",
-      "sha256": "4b19bbf43b98ba8cfb2a7f32817736b3c192ddb0d237bd046fb1ced5fc826d29",
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-      "rows": 48,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000843-0000-1106e25c43528fa6.parquet",
-      "sha256": "1106e25c43528fa663fc7875265f66b6c17da100fe5487ff10af9957c255bd99",
-      "bytes": 39915,
-      "rows": 2,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000843-0000-7b77d89f1367f58b.parquet",
-      "sha256": "7b77d89f1367f58b44487805aa0968f234ab178b8a86b75f5defe627f2040a66",
-      "bytes": 37892,
-      "rows": 4,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47065",
     "goedel_workbook:lean_workbook_plus_47066",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021097.lean\",\"5cd0707b913331b0b18724fac70df4aaa4d1a4c4ee35ecfebf9a25abd4f9431d\",0,\"lean_workbook_plus_47184\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021098.lean\",\"888b69f06afd51aca7ed2c14a8d150ee7f5203394ca3e5d2972f5b261e149d1a\",0,\"lean_workbook_plus_47189\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021099.lean\",\"53d7772c2c3a4edb6798e13cbcb79643fe4228f95cc63a0b383bb371aca9e82f\",0,\"lean_workbook_plus_47195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171478,
+      "path": "data/train/p82/goedel_workbook-000843-0000-4b19bbf43b98ba8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "4b19bbf43b98ba8cfb2a7f32817736b3c192ddb0d237bd046fb1ced5fc826d29"
+    },
+    {
+      "bytes": 39915,
+      "path": "data/dev/p82/goedel_workbook-000843-0000-1106e25c43528fa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1106e25c43528fa663fc7875265f66b6c17da100fe5487ff10af9957c255bd99"
+    },
+    {
+      "bytes": 37892,
+      "path": "data/internal_test/p82/goedel_workbook-000843-0000-7b77d89f1367f58b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7b77d89f1367f58b44487805aa0968f234ab178b8a86b75f5defe627f2040a66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000844.json b/manifests/batches/goedel_workbook/000844.json
index a98ef43f1e468ec74c2e584136300252f2b37423..09ba54d53285b46011b4459f65b7e76d16026630 100644
--- a/manifests/batches/goedel_workbook/000844.json
+++ b/manifests/batches/goedel_workbook/000844.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000844",
   "batch_fingerprint": "03a43a7d5656cea36c061276569d913339719cb344eab55f24580d21d0e260c4",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000844-0000-df949f196527feb9.parquet",
-      "sha256": "df949f196527feb92faae8db4e2f6c26244ad1c9b06f301086b8fbb8a0d47b91",
-      "bytes": 169475,
-      "rows": 41,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000844-0000-2684ce1bcee9a30a.parquet",
-      "sha256": "2684ce1bcee9a30abf1833f1776a33060696b1b86bfdf6ddd636dbcaf860c658",
-      "bytes": 34517,
-      "rows": 2,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000844-0000-5845121edd1b3ca6.parquet",
-      "sha256": "5845121edd1b3ca6d261867847d14ddc9c9685db7b19b943cab7ade51186d27e",
-      "bytes": 46326,
-      "rows": 6,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47204",
     "goedel_workbook:lean_workbook_plus_47216",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021121.lean\",\"7cbbb0ec150919a3458f925fb0e43357c24533207bfb0c564dc0cc7c030e966f\",0,\"lean_workbook_plus_4730\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021122.lean\",\"2c43e684dce465fb0589bae7a40bf759748936e0d3164bf48397db9f7d48df03\",0,\"lean_workbook_plus_47302\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021123.lean\",\"3a6e306cafcdf26f3271c00c17a5340c169947d3b6e028195f05cdd9a0a1de44\",0,\"lean_workbook_plus_47303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169475,
+      "path": "data/train/pbe/goedel_workbook-000844-0000-df949f196527feb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "df949f196527feb92faae8db4e2f6c26244ad1c9b06f301086b8fbb8a0d47b91"
+    },
+    {
+      "bytes": 34517,
+      "path": "data/dev/pbe/goedel_workbook-000844-0000-2684ce1bcee9a30a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2684ce1bcee9a30abf1833f1776a33060696b1b86bfdf6ddd636dbcaf860c658"
+    },
+    {
+      "bytes": 46326,
+      "path": "data/internal_test/pbe/goedel_workbook-000844-0000-5845121edd1b3ca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5845121edd1b3ca6d261867847d14ddc9c9685db7b19b943cab7ade51186d27e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000845.json b/manifests/batches/goedel_workbook/000845.json
index 6ba255c6c0f532b62a7ac391f34b75a8c6d57999..c3841f6ecff9b1853449cb2ffd59d4e2029f7fc0 100644
--- a/manifests/batches/goedel_workbook/000845.json
+++ b/manifests/batches/goedel_workbook/000845.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000845",
   "batch_fingerprint": "c130a953dafdd24867a22ffb6fa7ba37df2de3c868d6175d40873d79697c5232",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000845-0000-ca26669a7e2a60a4.parquet",
-      "sha256": "ca26669a7e2a60a4ce0e03e68970857c94af39aedc1e23882adf88347f9aaa92",
-      "bytes": 187010,
-      "rows": 37,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000845-0000-5ada11ea878e22ee.parquet",
-      "sha256": "5ada11ea878e22ee859cd96075d5840b0ed0e888b80a48c8f806f7c620691468",
-      "bytes": 123875,
-      "rows": 28,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47316",
     "goedel_workbook:lean_workbook_plus_47335",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021146.lean\",\"02bd24f5dccedf45b3c4d431c3b3ff701c4ec7b7531b56b1cdf8dace410cd9ba\",0,\"lean_workbook_plus_4740\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021148.lean\",\"bc943ada4bea9b33aa263a5535ed98a38d262a8e0d21d773e2d77e7ed2958c81\",0,\"lean_workbook_plus_47413\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021149.lean\",\"89dbad5dc88b2e5f716d0eb0a6caa683bd885496782aa010fc1f8b3bac34b884\",0,\"lean_workbook_plus_4742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187010,
+      "path": "data/train/p61/goedel_workbook-000845-0000-ca26669a7e2a60a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ca26669a7e2a60a4ce0e03e68970857c94af39aedc1e23882adf88347f9aaa92"
+    },
+    {
+      "bytes": 123875,
+      "path": "data/internal_test/p61/goedel_workbook-000845-0000-5ada11ea878e22ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5ada11ea878e22ee859cd96075d5840b0ed0e888b80a48c8f806f7c620691468"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000846.json b/manifests/batches/goedel_workbook/000846.json
index f5e69e22bdc2fd73c670028dc870478c8745db3b..ae5e7cada31928ca2243442043153bd04b13e835 100644
--- a/manifests/batches/goedel_workbook/000846.json
+++ b/manifests/batches/goedel_workbook/000846.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000846",
   "batch_fingerprint": "fdabed7308958a45438ae23e7e105a27c12ae535affdb84ec589ad98e4ce29d1",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000846-0000-7761ac41c373ca90.parquet",
-      "sha256": "7761ac41c373ca9042a3dac7f9cca41bc85ad1e4e0de5e00f1a13423e0af7213",
-      "bytes": 180394,
-      "rows": 54,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000846-0000-de0ae0068ba602bc.parquet",
-      "sha256": "de0ae0068ba602bcbf1106676ceb019af06f8b8888949633e04f7bc19fadab63",
-      "bytes": 36780,
-      "rows": 2,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000846-0000-3126394658d71889.parquet",
-      "sha256": "3126394658d71889b07ead26133fce80c224e82df3b49965ada97b0231465706",
-      "bytes": 64460,
-      "rows": 7,
-      "revision": "d8a7cf7615b28b29b6103bf7fd2e8f9383b4dbb4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47428",
     "goedel_workbook:lean_workbook_plus_47435",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021169.lean\",\"c1e1e98a2c99b3133350117f69f75c761c43d84a5ebd44c50cc7f15dd266105c\",0,\"lean_workbook_plus_47497\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021170.lean\",\"093f03237b689307d78b65eae29cfe2b132b02ffe4a328b1f65fd9061373359a\",0,\"lean_workbook_plus_47499\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021172.lean\",\"020f09bd25a94f3a47d3e6898b5c1a6364e44a427716db8d38ad807c644997fe\",0,\"lean_workbook_plus_47500\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180394,
+      "path": "data/train/pab/goedel_workbook-000846-0000-7761ac41c373ca90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "7761ac41c373ca9042a3dac7f9cca41bc85ad1e4e0de5e00f1a13423e0af7213"
+    },
+    {
+      "bytes": 36780,
+      "path": "data/dev/pab/goedel_workbook-000846-0000-de0ae0068ba602bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de0ae0068ba602bcbf1106676ceb019af06f8b8888949633e04f7bc19fadab63"
+    },
+    {
+      "bytes": 64460,
+      "path": "data/internal_test/pab/goedel_workbook-000846-0000-3126394658d71889.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3126394658d71889b07ead26133fce80c224e82df3b49965ada97b0231465706"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000847.json b/manifests/batches/goedel_workbook/000847.json
index 269c541c9d6c0c919d3842f304670a4a3f0a33f7..2aac0961a7f392a5a73bef94a8e5539e4e5a045d 100644
--- a/manifests/batches/goedel_workbook/000847.json
+++ b/manifests/batches/goedel_workbook/000847.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000847",
   "batch_fingerprint": "f637aeeddb63dbb6ccfce629432ce5cdfd9efea63f84e15a44f3b3278305f3f3",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000847-0000-37956f461b6c395d.parquet",
-      "sha256": "37956f461b6c395dbf0699df4df0e5ae0be200d3243e3e3d7f7c2beb0c2c48f1",
-      "bytes": 188961,
-      "rows": 48,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000847-0000-4bc2f69389c54744.parquet",
-      "sha256": "4bc2f69389c54744c125d2d2bdda2d85b1cc4eb2bc8a73b40c04d5203a4d9a17",
-      "bytes": 45330,
-      "rows": 5,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000847-0000-59f11ed211a15dd5.parquet",
-      "sha256": "59f11ed211a15dd5776ba784f5172dca4effd8db587d1dc52972fda2e9771058",
-      "bytes": 51125,
-      "rows": 9,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47525",
     "goedel_workbook:lean_workbook_plus_47547",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021196.lean\",\"1982b439a7e9d809a6a21ac0d98f6ce7661d6fb5f59ccb5ba941c5e4b52999bd\",0,\"lean_workbook_plus_47608\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021197.lean\",\"f1a27c20bb1073b8416960010357e9ea19a6fac0af3fb591e80a76c52c2d8346\",0,\"lean_workbook_plus_47610\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021199.lean\",\"51170c37d562c1ce1a5db2f9684b23dc2b451591646c8312978f16d1d25e4e49\",0,\"lean_workbook_plus_4762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188961,
+      "path": "data/train/pb3/goedel_workbook-000847-0000-37956f461b6c395d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "37956f461b6c395dbf0699df4df0e5ae0be200d3243e3e3d7f7c2beb0c2c48f1"
+    },
+    {
+      "bytes": 45330,
+      "path": "data/dev/pb3/goedel_workbook-000847-0000-4bc2f69389c54744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4bc2f69389c54744c125d2d2bdda2d85b1cc4eb2bc8a73b40c04d5203a4d9a17"
+    },
+    {
+      "bytes": 51125,
+      "path": "data/internal_test/pb3/goedel_workbook-000847-0000-59f11ed211a15dd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "59f11ed211a15dd5776ba784f5172dca4effd8db587d1dc52972fda2e9771058"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000848.json b/manifests/batches/goedel_workbook/000848.json
index ce9a01588becd7e989d47ac41b8ec9f71daf69d1..7f9f3962c96b67379fa11f06fe6411d3e5efd848 100644
--- a/manifests/batches/goedel_workbook/000848.json
+++ b/manifests/batches/goedel_workbook/000848.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000848",
   "batch_fingerprint": "d8db4e7e25119530bd465a7120d9dea68e3d2dc265e5d09036e36dcee04b1e9a",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000848-0000-b2d1c6ff7097cfba.parquet",
-      "sha256": "b2d1c6ff7097cfba949e3df31aec66838be02c73be89c1f1579a0f44770a2e55",
-      "bytes": 303031,
-      "rows": 12,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/train/goedel_workbook-000848-0001-5c96e67ee1a145d2.parquet",
-      "sha256": "5c96e67ee1a145d2345765c1237718d555eabe8ce6c854ab251706660a775062",
-      "bytes": 357381,
-      "rows": 43,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000848-0000-2dad2c280aaea2ce.parquet",
-      "sha256": "2dad2c280aaea2cef10ad42dec1662569a2154d64b599c56733413d61dc7e2cc",
-      "bytes": 38856,
-      "rows": 4,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_4763",
     "goedel_workbook:lean_workbook_plus_47630",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021220.lean\",\"036c77ed807858a5f3dc6660dd32d9e82108d4a8a95f56aa8dd7379e4a4e76dc\",0,\"lean_workbook_plus_47687\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021222.lean\",\"4454459b8279fdeb65104784464d86372b6d99b71402d45369cff52220f355dd\",0,\"lean_workbook_plus_47693\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021224.lean\",\"d7978e856783a3b0a5ae47a8ebd82f599c61e2308ae583892c734344276cffbd\",0,\"lean_workbook_plus_47702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303031,
+      "path": "data/train/pb6/goedel_workbook-000848-0000-b2d1c6ff7097cfba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b2d1c6ff7097cfba949e3df31aec66838be02c73be89c1f1579a0f44770a2e55"
+    },
+    {
+      "bytes": 357381,
+      "path": "data/train/pb6/goedel_workbook-000848-0001-5c96e67ee1a145d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "5c96e67ee1a145d2345765c1237718d555eabe8ce6c854ab251706660a775062"
+    },
+    {
+      "bytes": 38856,
+      "path": "data/internal_test/pb6/goedel_workbook-000848-0000-2dad2c280aaea2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2dad2c280aaea2cef10ad42dec1662569a2154d64b599c56733413d61dc7e2cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000849.json b/manifests/batches/goedel_workbook/000849.json
index 87701c5270c6d387afe0e434448fa36bf14c0985..b10cc80ba0c0774f6c31ceceb1af1b7515d78b3f 100644
--- a/manifests/batches/goedel_workbook/000849.json
+++ b/manifests/batches/goedel_workbook/000849.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000849",
   "batch_fingerprint": "7f25fdfcdd033ae450f992a4cecf89d65694c3a49cfaa72aaa8be5f5d5d702fb",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000849-0000-6b8051371a3a9994.parquet",
-      "sha256": "6b8051371a3a99948e7d0011efccdde7d00cbd905e513f7febe7302a0ad320c5",
-      "bytes": 194462,
-      "rows": 38,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_4771",
     "goedel_workbook:lean_workbook_plus_47713",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021244.lean\",\"ee9ecd53c93a07420de5a44e47e3d6cdbb7a9372ea38f7d830aef0aa36ea654d\",0,\"lean_workbook_plus_47800\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021246.lean\",\"c12359b927f627b083e52c9a11b5b86f3ba1b03669ebe0ab2ad821623f0289f0\",0,\"lean_workbook_plus_47823\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021249.lean\",\"abb79a089b9f39b29401b95d0de8abe9b62c5d3d28d0fe9c5eeb935390b78d77\",0,\"lean_workbook_plus_47839\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194462,
+      "path": "data/train/p55/goedel_workbook-000849-0000-6b8051371a3a9994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "6b8051371a3a99948e7d0011efccdde7d00cbd905e513f7febe7302a0ad320c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000850.json b/manifests/batches/goedel_workbook/000850.json
index 27c0c92856afcfe7064cd7f9c5cef762f5bfb937..c7e455b5a1bc021499ce756242f21179df3a0ae4 100644
--- a/manifests/batches/goedel_workbook/000850.json
+++ b/manifests/batches/goedel_workbook/000850.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000850",
   "batch_fingerprint": "06820990fae1fc7d9fc9f70ba19775ad6cd4492c1be5a035c54ca95cd66e06b4",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000850-0000-53ab479ebfbfbbb0.parquet",
-      "sha256": "53ab479ebfbfbbb01c5007d1f773d24005f5c80b1b2e7d7d466abab0ed4b3445",
-      "bytes": 189203,
-      "rows": 39,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000850-0000-3faeec64dfef8631.parquet",
-      "sha256": "3faeec64dfef8631d8a273f896452ec0e983027de261acbfc128f46f76989622",
-      "bytes": 272105,
-      "rows": 37,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47848",
     "goedel_workbook:lean_workbook_plus_47851",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021270.lean\",\"a50f71304b1517800793c6dc62c712ee167b58289f915390be80f78597ef98cd\",0,\"lean_workbook_plus_47930\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021271.lean\",\"ebf9329b9f94c5a200bde9787a97c057d36c9b5180985761b3ff83357ce881af\",0,\"lean_workbook_plus_47938\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021272.lean\",\"df10b43d19a036bc36282bfc66108d8e79f0c7518009b3fc0eb83bb086939ef5\",0,\"lean_workbook_plus_47941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189203,
+      "path": "data/train/p9e/goedel_workbook-000850-0000-53ab479ebfbfbbb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "53ab479ebfbfbbb01c5007d1f773d24005f5c80b1b2e7d7d466abab0ed4b3445"
+    },
+    {
+      "bytes": 272105,
+      "path": "data/internal_test/p9e/goedel_workbook-000850-0000-3faeec64dfef8631.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "3faeec64dfef8631d8a273f896452ec0e983027de261acbfc128f46f76989622"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000851.json b/manifests/batches/goedel_workbook/000851.json
index b35d16027dd15d6bc5654428fea844ebee753bec..a71be2c347dd2d9e6d7b445e8de0a4cca7712294 100644
--- a/manifests/batches/goedel_workbook/000851.json
+++ b/manifests/batches/goedel_workbook/000851.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000851",
   "batch_fingerprint": "c72e4f3f59ab284cca5a0d5cc5daafc98ecceedfe9dc8625854413a6ab5ecc46",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000851-0000-6ccdb650db3e4ef0.parquet",
-      "sha256": "6ccdb650db3e4ef0d25759001e33d83adbb648a05292279fe82940b0ec334961",
-      "bytes": 83361,
-      "rows": 24,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000851-0000-bb8906dfe7e6b942.parquet",
-      "sha256": "bb8906dfe7e6b94215b07a903737dd32bb6e9a79c8f8c9a6ce6632999ae01418",
-      "bytes": 43367,
-      "rows": 4,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000851-0000-f1141c86aa067269.parquet",
-      "sha256": "f1141c86aa067269c55486349e73bfb541d87bdc4ff35a983a2422b0d2690c01",
-      "bytes": 29197,
-      "rows": 1,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_47969",
     "goedel_workbook:lean_workbook_plus_47973",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021297.lean\",\"87f454abeae5888036dbdcb230c48a9ba0a7986f0201474443336e96c6ffde7f\",0,\"lean_workbook_plus_4804\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021298.lean\",\"a4c28d768aec3aa23e76bead0612eb88d313ab53e0624a94f2783791d4e1a4c8\",0,\"lean_workbook_plus_48040\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021299.lean\",\"3c30b4da54f072df3129732d8ec33df1f74052924b6258675cd1e5d4fbf4c8a6\",0,\"lean_workbook_plus_48041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83361,
+      "path": "data/train/pa9/goedel_workbook-000851-0000-6ccdb650db3e4ef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6ccdb650db3e4ef0d25759001e33d83adbb648a05292279fe82940b0ec334961"
+    },
+    {
+      "bytes": 43367,
+      "path": "data/dev/pa9/goedel_workbook-000851-0000-bb8906dfe7e6b942.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bb8906dfe7e6b94215b07a903737dd32bb6e9a79c8f8c9a6ce6632999ae01418"
+    },
+    {
+      "bytes": 29197,
+      "path": "data/internal_test/pa9/goedel_workbook-000851-0000-f1141c86aa067269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f1141c86aa067269c55486349e73bfb541d87bdc4ff35a983a2422b0d2690c01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000852.json b/manifests/batches/goedel_workbook/000852.json
index 935c8dad186c98863469e27464b5992e50f77b19..950de20e0ef08534931bed01df3b2eafa2dc08d0 100644
--- a/manifests/batches/goedel_workbook/000852.json
+++ b/manifests/batches/goedel_workbook/000852.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000852",
   "batch_fingerprint": "23d6745c3a320a4467097c68a1a060e05a5a6a02dad3c18f1456fb611a4324df",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000852-0000-32f44ae2fb791d6b.parquet",
-      "sha256": "32f44ae2fb791d6ba90620b3e1c0b55fb54424e399cc977f805aeee4fb30f06d",
-      "bytes": 136991,
-      "rows": 32,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000852-0000-d60c409ecc42f35b.parquet",
-      "sha256": "d60c409ecc42f35b1011183b3885d906e3581d1d9f1e740c02f18e74f2e97e68",
-      "bytes": 31759,
-      "rows": 2,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48042",
     "goedel_workbook:lean_workbook_plus_48060",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021322.lean\",\"895b4db7f9bf42187b2441e609174414a4011a3526dde1656df86ccdfab5c64d\",0,\"lean_workbook_plus_48142\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021323.lean\",\"303dd7f29111d46e36ce9cab6d34ce213293bf4264a76ff6f807282f94629f9e\",0,\"lean_workbook_plus_48143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021324.lean\",\"73bedb9b95de7cf055f6b297f9859fe52c9c4d070873fa2d9bfdfc192283dc2c\",0,\"lean_workbook_plus_48144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136991,
+      "path": "data/train/p2a/goedel_workbook-000852-0000-32f44ae2fb791d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "32f44ae2fb791d6ba90620b3e1c0b55fb54424e399cc977f805aeee4fb30f06d"
+    },
+    {
+      "bytes": 31759,
+      "path": "data/dev/p2a/goedel_workbook-000852-0000-d60c409ecc42f35b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d60c409ecc42f35b1011183b3885d906e3581d1d9f1e740c02f18e74f2e97e68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000853.json b/manifests/batches/goedel_workbook/000853.json
index 008ff9f7f542f6adf7e2d6209b8b2c74a8792c61..ceb2a1ebf63f1eba5ca207fe769e0c2e8ff1127f 100644
--- a/manifests/batches/goedel_workbook/000853.json
+++ b/manifests/batches/goedel_workbook/000853.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000853",
   "batch_fingerprint": "63c5fa9c9cc7efd8e564e6c5a92b5ab11324c5893328f672e2e470f68c63997b",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000853-0000-2e5ebe39493e6287.parquet",
-      "sha256": "2e5ebe39493e6287a485eed03fb9b75a4ffc8ebc57dae901c2916b3225cdfb67",
-      "bytes": 93572,
-      "rows": 24,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000853-0000-43c539e43799d692.parquet",
-      "sha256": "43c539e43799d692a827a2cfb64689d70a8a5e8f599b0b00bdc8163282c23fa5",
-      "bytes": 30705,
-      "rows": 2,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48156",
     "goedel_workbook:lean_workbook_plus_48158",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021346.lean\",\"22425ca34d6f73a08736dc895578ada1bfe4b6625edf135b454833a83b3792bf\",0,\"lean_workbook_plus_48247\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021348.lean\",\"f4af3f0222c8668e36a55fb78af0e2199c7826b933bf22b8e8fb8797563b7d6f\",0,\"lean_workbook_plus_48269\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021349.lean\",\"e44e5c192ff3f3efd80adf615771a4438eae5f2274c6f9ad336ff3676ed930c0\",0,\"lean_workbook_plus_48271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93572,
+      "path": "data/train/pbb/goedel_workbook-000853-0000-2e5ebe39493e6287.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2e5ebe39493e6287a485eed03fb9b75a4ffc8ebc57dae901c2916b3225cdfb67"
+    },
+    {
+      "bytes": 30705,
+      "path": "data/internal_test/pbb/goedel_workbook-000853-0000-43c539e43799d692.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "43c539e43799d692a827a2cfb64689d70a8a5e8f599b0b00bdc8163282c23fa5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000854.json b/manifests/batches/goedel_workbook/000854.json
index 1e3f6569592514a96c3105c09d0667042a1acbb0..b254e19a368fdc49cd49f1d18b40209a1d1d59b7 100644
--- a/manifests/batches/goedel_workbook/000854.json
+++ b/manifests/batches/goedel_workbook/000854.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000854",
   "batch_fingerprint": "d8e2caa12e43e77741f2e4809a1c4e3d49685071941fecbace2e30d19587d179",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000854-0000-5b3bbf49413329c4.parquet",
-      "sha256": "5b3bbf49413329c47699ac80c66802501754fee7ae86a0a27c5b7da2064c69d1",
-      "bytes": 94557,
-      "rows": 21,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000854-0000-a7e9c06fa5a69ff1.parquet",
-      "sha256": "a7e9c06fa5a69ff1c6c98c8eb429cdd2f71b0e0098f21e324301620ffbdd68e8",
-      "bytes": 61032,
-      "rows": 14,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000854-0000-84fdf2e38fffc2af.parquet",
-      "sha256": "84fdf2e38fffc2afa1980a5c886ecc7f19eb0659bbd971729ed171b531b2ff9c",
-      "bytes": 31944,
-      "rows": 3,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48298",
     "goedel_workbook:lean_workbook_plus_48301",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021367.lean\",\"00ab19cb7d01101a18cce5308e6859624bad7bd4f978a8f57282329871a1b97e\",0,\"lean_workbook_plus_48331\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021371.lean\",\"1f77e650709dcaee19665c5d0136efaf6bb730726c61c37939de560c32058475\",0,\"lean_workbook_plus_48345\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021372.lean\",\"5a1546b2df71876a63e2bb0523bb154a1ea51c53babe204cd8c6440094467cdf\",0,\"lean_workbook_plus_48359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94557,
+      "path": "data/train/p73/goedel_workbook-000854-0000-5b3bbf49413329c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5b3bbf49413329c47699ac80c66802501754fee7ae86a0a27c5b7da2064c69d1"
+    },
+    {
+      "bytes": 61032,
+      "path": "data/dev/p73/goedel_workbook-000854-0000-a7e9c06fa5a69ff1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a7e9c06fa5a69ff1c6c98c8eb429cdd2f71b0e0098f21e324301620ffbdd68e8"
+    },
+    {
+      "bytes": 31944,
+      "path": "data/internal_test/p73/goedel_workbook-000854-0000-84fdf2e38fffc2af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "84fdf2e38fffc2afa1980a5c886ecc7f19eb0659bbd971729ed171b531b2ff9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000855.json b/manifests/batches/goedel_workbook/000855.json
index 2cc3f04eaffd8451f541b4025fb42b2eab8b4d22..9b4089e712cf51a591f8179029e33639e0c75702 100644
--- a/manifests/batches/goedel_workbook/000855.json
+++ b/manifests/batches/goedel_workbook/000855.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000855",
   "batch_fingerprint": "9d67e6082f8e52d36da4b172148d0795de22f981526ae8cace683b8cf16cbc25",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000855-0000-dd19f7b64fb22e40.parquet",
-      "sha256": "dd19f7b64fb22e408d09eb0d730f7bef1dfe268fb857a320d8db36cb9f255e78",
-      "bytes": 172960,
-      "rows": 40,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000855-0000-9439d5871883d382.parquet",
-      "sha256": "9439d5871883d38273ad044b94bb97d0552666f5f1cd0b04460b2b72f7085d28",
-      "bytes": 52595,
-      "rows": 6,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000855-0000-60d8f3a6bd94a403.parquet",
-      "sha256": "60d8f3a6bd94a403e65ed8d3c570c40b2cc9b579734ced044cd031fc4c6ec79f",
-      "bytes": 53444,
-      "rows": 4,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48371",
     "goedel_workbook:lean_workbook_plus_48385",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021397.lean\",\"41e6cc5daf990bfa3200e4c1467b3ae374c88abad197f05632552e94972c83eb\",0,\"lean_workbook_plus_48471\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021398.lean\",\"a86a35f288c4adf4177acd18934b7a79aaa741be443ac7feb2ea0984f33eecab\",0,\"lean_workbook_plus_48481\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021399.lean\",\"d548d0503f9d0351496b2bdf7f15a112cf8d4284ab0a6e33dfd15bae913f5427\",0,\"lean_workbook_plus_48490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172960,
+      "path": "data/train/p22/goedel_workbook-000855-0000-dd19f7b64fb22e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "dd19f7b64fb22e408d09eb0d730f7bef1dfe268fb857a320d8db36cb9f255e78"
+    },
+    {
+      "bytes": 52595,
+      "path": "data/dev/p22/goedel_workbook-000855-0000-9439d5871883d382.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9439d5871883d38273ad044b94bb97d0552666f5f1cd0b04460b2b72f7085d28"
+    },
+    {
+      "bytes": 53444,
+      "path": "data/internal_test/p22/goedel_workbook-000855-0000-60d8f3a6bd94a403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "60d8f3a6bd94a403e65ed8d3c570c40b2cc9b579734ced044cd031fc4c6ec79f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000856.json b/manifests/batches/goedel_workbook/000856.json
index 789e8072352494705ddbaf659f579de69a3fd321..6c0717f33ffef0271b7d3e365550a3c80b132977 100644
--- a/manifests/batches/goedel_workbook/000856.json
+++ b/manifests/batches/goedel_workbook/000856.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000856",
   "batch_fingerprint": "c101cd61ec8224d74ed7367dcea5caf9b50c9ed66dd9760a22f5fb88d5aab340",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000856-0000-3ac1b8eaead5e39b.parquet",
-      "sha256": "3ac1b8eaead5e39b6408f80411b8ef90ec5f39c7691be60d2822128783a538f3",
-      "bytes": 167182,
-      "rows": 42,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000856-0000-7a2af11e6509f83f.parquet",
-      "sha256": "7a2af11e6509f83f84da2f43b1448c8d8d539fde4f221ac4f8f3fb1ab8b32634",
-      "bytes": 36600,
-      "rows": 6,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000856-0000-2102aaeaa1168ef6.parquet",
-      "sha256": "2102aaeaa1168ef694d493bbd6f7f98d24cbefb0f19ef6ccf3e45ed18f6402b4",
-      "bytes": 35021,
-      "rows": 1,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48506",
     "goedel_workbook:lean_workbook_plus_48513",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021422.lean\",\"c73b23c2e84a9a9154cad0f7ba3a61696b543f8491e725491e1db27d469a29b2\",0,\"lean_workbook_plus_48595\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021423.lean\",\"b763842fd77e863464a3be9503adde2e96ccd2eb8ecbd5c6488f1c5749432cb4\",0,\"lean_workbook_plus_48596\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021424.lean\",\"64e142a2f80ba86fb7d41d1ff11fe8ec5ad096c920158465eded0b0f6fb784a5\",0,\"lean_workbook_plus_4862\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167182,
+      "path": "data/train/p1e/goedel_workbook-000856-0000-3ac1b8eaead5e39b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "3ac1b8eaead5e39b6408f80411b8ef90ec5f39c7691be60d2822128783a538f3"
+    },
+    {
+      "bytes": 36600,
+      "path": "data/dev/p1e/goedel_workbook-000856-0000-7a2af11e6509f83f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7a2af11e6509f83f84da2f43b1448c8d8d539fde4f221ac4f8f3fb1ab8b32634"
+    },
+    {
+      "bytes": 35021,
+      "path": "data/internal_test/p1e/goedel_workbook-000856-0000-2102aaeaa1168ef6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2102aaeaa1168ef694d493bbd6f7f98d24cbefb0f19ef6ccf3e45ed18f6402b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000857.json b/manifests/batches/goedel_workbook/000857.json
index 7d656898ea89486989a0f0d3331065a0785a9907..ff6b8de56ff3df036f42003e246ccac184cb1808 100644
--- a/manifests/batches/goedel_workbook/000857.json
+++ b/manifests/batches/goedel_workbook/000857.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000857",
   "batch_fingerprint": "cb564c4941f55eceb735f8ad66a2f8d47d8b23f4bdc7235a606ee0c87c102e05",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000857-0000-439880bc87e131b8.parquet",
-      "sha256": "439880bc87e131b872c9bdd8d75ad065c4aab7131b67850e769cce64f15d2c34",
-      "bytes": 194199,
-      "rows": 54,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000857-0000-47c49e91b4cdb7bd.parquet",
-      "sha256": "47c49e91b4cdb7bd28367e506b6b4f45e85f7544cbff05667feac5a13ab38611",
-      "bytes": 160981,
-      "rows": 4,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000857-0000-cb36d7e251a992c2.parquet",
-      "sha256": "cb36d7e251a992c2c85f80b56145af9a4c4f1872da7600f01881f0ebf613c26c",
-      "bytes": 35909,
-      "rows": 4,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48634",
     "goedel_workbook:lean_workbook_plus_48637",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021445.lean\",\"d8cabfc86c3f11d7faa5f238e14d6895a790cc5d88a66c13d4cdd52b473e4a2a\",0,\"lean_workbook_plus_48716\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021447.lean\",\"5d11d4c23ca110f219db690519a444a1d931f6fd0b0b5cc26062fc137b4d525d\",0,\"lean_workbook_plus_48724\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021448.lean\",\"94bcb2266a0253a4d6dae9c76332b485e1ce85f7643d55e7b55c91056251bd6c\",0,\"lean_workbook_plus_48725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194199,
+      "path": "data/train/p8f/goedel_workbook-000857-0000-439880bc87e131b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "439880bc87e131b872c9bdd8d75ad065c4aab7131b67850e769cce64f15d2c34"
+    },
+    {
+      "bytes": 160981,
+      "path": "data/dev/p8f/goedel_workbook-000857-0000-47c49e91b4cdb7bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "47c49e91b4cdb7bd28367e506b6b4f45e85f7544cbff05667feac5a13ab38611"
+    },
+    {
+      "bytes": 35909,
+      "path": "data/internal_test/p8f/goedel_workbook-000857-0000-cb36d7e251a992c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cb36d7e251a992c2c85f80b56145af9a4c4f1872da7600f01881f0ebf613c26c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000858.json b/manifests/batches/goedel_workbook/000858.json
index b4460e2889a6bec5ef69cc3880c08aa9651b6551..5a96afb3d33603d35ba4bb44d1d35e813c91d470 100644
--- a/manifests/batches/goedel_workbook/000858.json
+++ b/manifests/batches/goedel_workbook/000858.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000858",
   "batch_fingerprint": "cba1ac9f9bf354311b6585310aec4fdcf5933dc6aa7fe8a30ab97c3bd247b331",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000858-0000-7c5c8e9040e827cf.parquet",
-      "sha256": "7c5c8e9040e827cfee132d2a9fc52e04eb1e869917c751b54507eedba9898093",
-      "bytes": 122286,
-      "rows": 30,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000858-0000-2e4751d6d353a1e6.parquet",
-      "sha256": "2e4751d6d353a1e6bc330379e07c6e0af4a7e86ea9e6e19cc111d426e17d4825",
-      "bytes": 47384,
-      "rows": 7,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48740",
     "goedel_workbook:lean_workbook_plus_48752",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021472.lean\",\"23d364500a5f033c32ccfaeb930354274d37f06be4eedf90a7f432249df40d47\",0,\"lean_workbook_plus_48812\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021473.lean\",\"2e7232a6be1e1e51fe525e3bc14f28fe7eab52d2d25646a3136c3913cc4f1479\",0,\"lean_workbook_plus_48818\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021474.lean\",\"83d06daa53a25ea3400d873d9472f2dcb1c82d388c1c56cf961b41878c4c244d\",0,\"lean_workbook_plus_48823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122286,
+      "path": "data/train/pd4/goedel_workbook-000858-0000-7c5c8e9040e827cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "7c5c8e9040e827cfee132d2a9fc52e04eb1e869917c751b54507eedba9898093"
+    },
+    {
+      "bytes": 47384,
+      "path": "data/internal_test/pd4/goedel_workbook-000858-0000-2e4751d6d353a1e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2e4751d6d353a1e6bc330379e07c6e0af4a7e86ea9e6e19cc111d426e17d4825"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000859.json b/manifests/batches/goedel_workbook/000859.json
index 662fd30b86f9fd91d5f16d5788434ce11d7b37dd..b75350c37792abb4ac986ac9294754816616c04b 100644
--- a/manifests/batches/goedel_workbook/000859.json
+++ b/manifests/batches/goedel_workbook/000859.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000859",
   "batch_fingerprint": "499547bf835341f93f6b0c9723e299f58d131058108b71cf55f7dbac1854cecf",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000859-0000-a5938e8d349be603.parquet",
-      "sha256": "a5938e8d349be603f8d1bcf0adfbfe0fb93cf743c9abebb58518b15bb645ade8",
-      "bytes": 99478,
-      "rows": 29,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000859-0000-0466604260cf8278.parquet",
-      "sha256": "0466604260cf82782acf6b59ebe8f27be041d4843b117016a1bac3a852d8c47d",
-      "bytes": 27876,
-      "rows": 1,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000859-0000-9855f1b0f74ac4f9.parquet",
-      "sha256": "9855f1b0f74ac4f91c808d47d93fad666126701667f4fc323e629c40a456eeb4",
-      "bytes": 56981,
-      "rows": 6,
-      "revision": "8adcb58422788bf7943d2331b8ad43d87c4825c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48825",
     "goedel_workbook:lean_workbook_plus_48837",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021493.lean\",\"5e7af76d9a8571ae5ebfdea31215ff3599f9a59cdf3d319e96376e17ac01dd87\",0,\"lean_workbook_plus_48905\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021496.lean\",\"a388f9b889347c6cf27298c112432cb8f5c3cb9926d8dacdb718b6f35de2f763\",0,\"lean_workbook_plus_48912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99478,
+      "path": "data/train/p55/goedel_workbook-000859-0000-a5938e8d349be603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "a5938e8d349be603f8d1bcf0adfbfe0fb93cf743c9abebb58518b15bb645ade8"
+    },
+    {
+      "bytes": 27876,
+      "path": "data/dev/p55/goedel_workbook-000859-0000-0466604260cf8278.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0466604260cf82782acf6b59ebe8f27be041d4843b117016a1bac3a852d8c47d"
+    },
+    {
+      "bytes": 56981,
+      "path": "data/internal_test/p55/goedel_workbook-000859-0000-9855f1b0f74ac4f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9855f1b0f74ac4f91c808d47d93fad666126701667f4fc323e629c40a456eeb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000860.json b/manifests/batches/goedel_workbook/000860.json
index 24d41528b282e8ed412f0d5890b223d5bbd5ee62..f9b63fb97be13c5c31f8f6ead4ce6ad7736a04d7 100644
--- a/manifests/batches/goedel_workbook/000860.json
+++ b/manifests/batches/goedel_workbook/000860.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000860",
   "batch_fingerprint": "5eda5ba0ceffb560f62547687848aeafcef20e7f171d0509bd435b3f05a40857",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000860-0000-7083ea24aa04ade2.parquet",
-      "sha256": "7083ea24aa04ade2f62b1ddf2d0f4d149f11c1841fde24895661508f489b21b8",
-      "bytes": 100699,
-      "rows": 30,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000860-0000-1ea46d6281b895f6.parquet",
-      "sha256": "1ea46d6281b895f6efacc542d7934c098f9cdae351366d3963b34f6df51cd58e",
-      "bytes": 33022,
-      "rows": 1,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_48930",
     "goedel_workbook:lean_workbook_plus_48935",
@@ -289,5 +273,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021519.lean\",\"8e1a9f7fa76f20979faac166c6745c11ec04539c559166dfde6356b3d3304818\",0,\"lean_workbook_plus_48988\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021522.lean\",\"38e085d7199d032e6111c008fd6131e080b61b269a79ad487163cc90fbebdeb2\",0,\"lean_workbook_plus_490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100699,
+      "path": "data/train/p79/goedel_workbook-000860-0000-7083ea24aa04ade2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "7083ea24aa04ade2f62b1ddf2d0f4d149f11c1841fde24895661508f489b21b8"
+    },
+    {
+      "bytes": 33022,
+      "path": "data/internal_test/p79/goedel_workbook-000860-0000-1ea46d6281b895f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1ea46d6281b895f6efacc542d7934c098f9cdae351366d3963b34f6df51cd58e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000861.json b/manifests/batches/goedel_workbook/000861.json
index 5af028616c512e16d69ce13bc779477e914bcb74..aec152abbedcd39828096c86ea38a4130c32858d 100644
--- a/manifests/batches/goedel_workbook/000861.json
+++ b/manifests/batches/goedel_workbook/000861.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000861",
   "batch_fingerprint": "4ef047cc3518c004b0abd6ebe6afa65e2312818e52b815de52e77ef8f0ba9c44",
   "evidence": {
@@ -289,29 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000861-0000-788e588438d7f77d.parquet",
-      "sha256": "788e588438d7f77d77d4662532259581627e50bfe51fb1ff7e6b720fa1e71e68",
-      "bytes": 84387,
-      "rows": 22,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000861-0000-ed318c368138684b.parquet",
-      "sha256": "ed318c368138684bb8daa050bf0c7874d5ef2c5c56debef05c95ac84b60f9b2f",
-      "bytes": 41653,
-      "rows": 5,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000861-0000-103b412b694613d9.parquet",
-      "sha256": "103b412b694613d99ef9ddabc287cee1fbe3516635cac61e3a2e9d77918897f8",
-      "bytes": 31082,
-      "rows": 1,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49017",
     "goedel_workbook:lean_workbook_plus_49026",
@@ -335,5 +312,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021547.lean\",\"33189301e8e2a8b9e59c068074475112f5805304782fcb5f50e6ec146943f9d5\",0,\"lean_workbook_plus_49092\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 84387,
+      "path": "data/train/pa1/goedel_workbook-000861-0000-788e588438d7f77d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "788e588438d7f77d77d4662532259581627e50bfe51fb1ff7e6b720fa1e71e68"
+    },
+    {
+      "bytes": 41653,
+      "path": "data/dev/pa1/goedel_workbook-000861-0000-ed318c368138684b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ed318c368138684bb8daa050bf0c7874d5ef2c5c56debef05c95ac84b60f9b2f"
+    },
+    {
+      "bytes": 31082,
+      "path": "data/internal_test/pa1/goedel_workbook-000861-0000-103b412b694613d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "103b412b694613d99ef9ddabc287cee1fbe3516635cac61e3a2e9d77918897f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000862.json b/manifests/batches/goedel_workbook/000862.json
index c438f0a5bcef8169af2be8016ae3f825ccd7e344..c38175c419870799ca935623b14d9beeb22787e2 100644
--- a/manifests/batches/goedel_workbook/000862.json
+++ b/manifests/batches/goedel_workbook/000862.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000862",
   "batch_fingerprint": "2ae9219a02f025da4a95a4649781705344954ad1b67d1fe64e6c3d781f1020f8",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000862-0000-c4c9b721bf606e87.parquet",
-      "sha256": "c4c9b721bf606e8796decf69a4bf3f8ccae4fb6adb2a1d3addb53c316383870d",
-      "bytes": 119068,
-      "rows": 26,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000862-0000-d3f413feca14db61.parquet",
-      "sha256": "d3f413feca14db61be4080bbabadb9ad609c511306acd157350ad51f2012cbc5",
-      "bytes": 37687,
-      "rows": 4,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49105",
     "goedel_workbook:lean_workbook_plus_49116",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021565.lean\",\"c26bcffa6da4a07bda35891240cfa5d30461e60a249d099a4a16c6b7e0cf0d15\",0,\"lean_workbook_plus_49163\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021574.lean\",\"6ff2af171765f5a9dbbfe680aaf3d0bc50a7ce467585bc6eafd49f7c8edade25\",0,\"lean_workbook_plus_49211\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119068,
+      "path": "data/train/p93/goedel_workbook-000862-0000-c4c9b721bf606e87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c4c9b721bf606e8796decf69a4bf3f8ccae4fb6adb2a1d3addb53c316383870d"
+    },
+    {
+      "bytes": 37687,
+      "path": "data/internal_test/p93/goedel_workbook-000862-0000-d3f413feca14db61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d3f413feca14db61be4080bbabadb9ad609c511306acd157350ad51f2012cbc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000863.json b/manifests/batches/goedel_workbook/000863.json
index 11fb72e281559b1ae1cbc8ff2489d307f5b22f0e..1febb4bfef474c59178ecc71efc634bed08dcc8e 100644
--- a/manifests/batches/goedel_workbook/000863.json
+++ b/manifests/batches/goedel_workbook/000863.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000863",
   "batch_fingerprint": "99f556454088dbdb90ccf05a6fad2416c95b714bcda96424d16ec5ab57b2212d",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000863-0000-d87e64e826c1b27b.parquet",
-      "sha256": "d87e64e826c1b27b341bc6279c84b8c9f0f5718d37bca83b50fdf8046512f177",
-      "bytes": 254284,
-      "rows": 57,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000863-0000-130221a4b53dce83.parquet",
-      "sha256": "130221a4b53dce83608d4a7718c3d80b517d2f2729a7dba07517d8f74c763f38",
-      "bytes": 50814,
-      "rows": 9,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000863-0000-ee48599bd92ffaf6.parquet",
-      "sha256": "ee48599bd92ffaf6fea7518f06f83a9a28f738ca390fafe74a7f12020da160ba",
-      "bytes": 54230,
-      "rows": 8,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49222",
     "goedel_workbook:lean_workbook_plus_49234",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021594.lean\",\"08d4d504776f3d00883656895f0f97a0975c7119c834e8e1113d48bf35cde440\",0,\"lean_workbook_plus_49292\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021598.lean\",\"80f1d4a76f2ffacc320daa5ea2d5810868a4774e17a62208457d9d2150b461fa\",0,\"lean_workbook_plus_49307\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021599.lean\",\"28094e9868a467a4e1a18fab64a5c0aa8f385a819faa977ea44dbab56f89662d\",0,\"lean_workbook_plus_49309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254284,
+      "path": "data/train/p49/goedel_workbook-000863-0000-d87e64e826c1b27b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "d87e64e826c1b27b341bc6279c84b8c9f0f5718d37bca83b50fdf8046512f177"
+    },
+    {
+      "bytes": 50814,
+      "path": "data/dev/p49/goedel_workbook-000863-0000-130221a4b53dce83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "130221a4b53dce83608d4a7718c3d80b517d2f2729a7dba07517d8f74c763f38"
+    },
+    {
+      "bytes": 54230,
+      "path": "data/internal_test/p49/goedel_workbook-000863-0000-ee48599bd92ffaf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ee48599bd92ffaf6fea7518f06f83a9a28f738ca390fafe74a7f12020da160ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000864.json b/manifests/batches/goedel_workbook/000864.json
index 7fa55d19a97248964b6b90f335582db0d41b5b60..3e998820e4e7cdbe5341643db92e8a5703d8c323 100644
--- a/manifests/batches/goedel_workbook/000864.json
+++ b/manifests/batches/goedel_workbook/000864.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000864",
   "batch_fingerprint": "5608b6a35f4d452ed36d007b6b4608b78f09f6949ab30c2bdff83ecb6f27ca73",
   "evidence": {
@@ -262,15 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000864-0000-cb0a5bfbc2686286.parquet",
-      "sha256": "cb0a5bfbc2686286616f8f579d9866e34891179f1210e91bf939c4687391b31d",
-      "bytes": 94258,
-      "rows": 28,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49313",
     "goedel_workbook:lean_workbook_plus_49326",
@@ -298,5 +289,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021620.lean\",\"85cc31d0ea69bad04baee269b5c8d8bf66765ce86f4c8605f41e65e67f85a3fb\",0,\"lean_workbook_plus_4940\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021621.lean\",\"57ac337108eb06415b60135b1009644fa34f5e030c4994250ff8defff7dbbbc9\",0,\"lean_workbook_plus_49409\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021624.lean\",\"d5c20935724773a7296963cafed105137c9ab1efe567a684bf8b93f74a28871f\",0,\"lean_workbook_plus_49423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94258,
+      "path": "data/train/pdd/goedel_workbook-000864-0000-cb0a5bfbc2686286.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "cb0a5bfbc2686286616f8f579d9866e34891179f1210e91bf939c4687391b31d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000865.json b/manifests/batches/goedel_workbook/000865.json
index 5c18a0d924a5d5ddc510b8331f33c8c6267cf476..5211158e95ebba1732d68cef6b566222a609d6af 100644
--- a/manifests/batches/goedel_workbook/000865.json
+++ b/manifests/batches/goedel_workbook/000865.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000865",
   "batch_fingerprint": "1b60ac3b8acbba3e3c9325856d352fe110dc2705e573ca3bf714b703369839b1",
   "evidence": {
@@ -163,15 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000865-0000-a6f3150e49002f16.parquet",
-      "sha256": "a6f3150e49002f168db8b4f467c5a41deb8944f0ff732c6b9a83d2576b625ce7",
-      "bytes": 194524,
-      "rows": 44,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49432",
     "goedel_workbook:lean_workbook_plus_49433",
@@ -209,5 +200,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021646.lean\",\"820695946b9475d9b2748fb947e9fff64dfc8a46fd587b392cf27bb1b02959ca\",0,\"lean_workbook_plus_49502\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021647.lean\",\"4b97e5d762cfdcf2832246c00489d3d11dfdeb45193f59ae061c28046016a7c8\",0,\"lean_workbook_plus_49509\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021649.lean\",\"9530c71a07666c00804f91437107a1d283ff79bd3b95df823474dec73c96fef1\",0,\"lean_workbook_plus_49513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194524,
+      "path": "data/train/p91/goedel_workbook-000865-0000-a6f3150e49002f16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "a6f3150e49002f168db8b4f467c5a41deb8944f0ff732c6b9a83d2576b625ce7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000866.json b/manifests/batches/goedel_workbook/000866.json
index 1e0da47f2025b26a36b6204144db03fd2b1967f7..409e8ae0e7f3c9b144a072ae6b83d83873019bc7 100644
--- a/manifests/batches/goedel_workbook/000866.json
+++ b/manifests/batches/goedel_workbook/000866.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000866",
   "batch_fingerprint": "4c7af7f21d5f8ca0c1846d2e6188f2383d0c2d9d5a4a26642f158bf8c55cca2a",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000866-0000-fd5dca272e1a0a3a.parquet",
-      "sha256": "fd5dca272e1a0a3ae93720214e5914db56d502302ea7ba357f9b45b8a882f4b1",
-      "bytes": 274559,
-      "rows": 42,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000866-0000-6ee5132a1155ceba.parquet",
-      "sha256": "6ee5132a1155ceba011dff31e482a75effae38fedd2655168e8bc9fc8bd42dbc",
-      "bytes": 31881,
-      "rows": 1,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000866-0000-222f4fac17efebec.parquet",
-      "sha256": "222f4fac17efebecbb91a9bd15fbd581e5fa8e44451d6d237054910adbc672ab",
-      "bytes": 65470,
-      "rows": 18,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49519",
     "goedel_workbook:lean_workbook_plus_49520",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021670.lean\",\"bda81d55cb147c5a60ee2c14a5033b4aaa2aaaaa00ed8860b0cdf9199dcccc15\",0,\"lean_workbook_plus_49565\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021671.lean\",\"658950a800cffa8f0c8f853f15078173aafec51fa1a5582a5636ab027a157177\",0,\"lean_workbook_plus_49571\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021674.lean\",\"be2a6ee631926631f36f56f1bea4f92c3b7ca288703838d59e58982a228a3ea8\",0,\"lean_workbook_plus_49595\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274559,
+      "path": "data/train/p60/goedel_workbook-000866-0000-fd5dca272e1a0a3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "fd5dca272e1a0a3ae93720214e5914db56d502302ea7ba357f9b45b8a882f4b1"
+    },
+    {
+      "bytes": 31881,
+      "path": "data/dev/p60/goedel_workbook-000866-0000-6ee5132a1155ceba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6ee5132a1155ceba011dff31e482a75effae38fedd2655168e8bc9fc8bd42dbc"
+    },
+    {
+      "bytes": 65470,
+      "path": "data/internal_test/p60/goedel_workbook-000866-0000-222f4fac17efebec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "222f4fac17efebecbb91a9bd15fbd581e5fa8e44451d6d237054910adbc672ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000867.json b/manifests/batches/goedel_workbook/000867.json
index 1aea8fa4aeb19a87f16376a3f16c4c9c48dc4ca7..26d1e1f8f6e104a3ee3a6e0887b3bd7935a3cb07 100644
--- a/manifests/batches/goedel_workbook/000867.json
+++ b/manifests/batches/goedel_workbook/000867.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000867",
   "batch_fingerprint": "122da5192b9a81d0ae6e9202aa58c95e35ecdb9011ed3167cf227430dfa866f5",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000867-0000-5598bba09b784588.parquet",
-      "sha256": "5598bba09b784588ce618f0b4d3bf0a70441db223fdf5884e5d802ee0f3a3730",
-      "bytes": 105125,
-      "rows": 24,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000867-0000-877e5c47130b98fb.parquet",
-      "sha256": "877e5c47130b98fbcda8c4f3aa1f8c4494a0485f8c2269e93f7b3dbdfc7ead1f",
-      "bytes": 49965,
-      "rows": 8,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49597",
     "goedel_workbook:lean_workbook_plus_49601",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021697.lean\",\"57af95e64d960be433eee5b623479d490d8998c4c83151f2f84cdf80d07f6921\",0,\"lean_workbook_plus_49683\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021698.lean\",\"fdaf4c73ad432a0c0fdd3edab123f4681eb9bd18b36199ad3ad4cc1ad3be591a\",0,\"lean_workbook_plus_49697\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021699.lean\",\"46a7512f77da44c2934cd41872ce3a5b0759b7451bc35fc282989eb151c165b8\",0,\"lean_workbook_plus_49699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105125,
+      "path": "data/train/p59/goedel_workbook-000867-0000-5598bba09b784588.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5598bba09b784588ce618f0b4d3bf0a70441db223fdf5884e5d802ee0f3a3730"
+    },
+    {
+      "bytes": 49965,
+      "path": "data/dev/p59/goedel_workbook-000867-0000-877e5c47130b98fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "877e5c47130b98fbcda8c4f3aa1f8c4494a0485f8c2269e93f7b3dbdfc7ead1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000868.json b/manifests/batches/goedel_workbook/000868.json
index 02e18e809f942e04fdf59f386f677b6e0b1de3ef..92c0ecb5b18cfb4c97367b2b469ebc7130dbfe11 100644
--- a/manifests/batches/goedel_workbook/000868.json
+++ b/manifests/batches/goedel_workbook/000868.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000868",
   "batch_fingerprint": "fc21ed270810e1d61c32d730985f54351c948a1346873b730c07416cdf864542",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000868-0000-b9b05218bbe33bd1.parquet",
-      "sha256": "b9b05218bbe33bd11b2ba216e04032587179bf8d1c432815ca27a8e7e0cb0660",
-      "bytes": 232975,
-      "rows": 34,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000868-0000-71e770b94db8f5cb.parquet",
-      "sha256": "71e770b94db8f5cbd7feb369dfdc1ec80b499bb735ae9c2ab7155cd72e7946df",
-      "bytes": 47820,
-      "rows": 6,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49701",
     "goedel_workbook:lean_workbook_plus_49730",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021716.lean\",\"fb8fadeebff20e5b3f19163b1f9a9546daf0aa20ca552cd183a5ae3f1cc15f12\",0,\"lean_workbook_plus_49780\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021718.lean\",\"95dbf549730336306a982b4f3d0137c8beab7c8d9fb5f8a17d7c0e1f8112b994\",0,\"lean_workbook_plus_4979\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021721.lean\",\"3090fec0bcd06420068ffdf14be3a2dfd14b026714c825c70e07b11664f327cb\",0,\"lean_workbook_plus_49815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232975,
+      "path": "data/train/p55/goedel_workbook-000868-0000-b9b05218bbe33bd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "b9b05218bbe33bd11b2ba216e04032587179bf8d1c432815ca27a8e7e0cb0660"
+    },
+    {
+      "bytes": 47820,
+      "path": "data/internal_test/p55/goedel_workbook-000868-0000-71e770b94db8f5cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "71e770b94db8f5cbd7feb369dfdc1ec80b499bb735ae9c2ab7155cd72e7946df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000869.json b/manifests/batches/goedel_workbook/000869.json
index e2527fce7f8aaa244cb7148091ef66230e35b8c5..c8f3b6f91c6bdf8ddf90f75543f309247acef886 100644
--- a/manifests/batches/goedel_workbook/000869.json
+++ b/manifests/batches/goedel_workbook/000869.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000869",
   "batch_fingerprint": "e953c713556bde42d586f026493bdd04b158532f38ec6a9f490c6a470357b436",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000869-0000-7bbdf5da94e7dec1.parquet",
-      "sha256": "7bbdf5da94e7dec1839c9ce3adff2b09705e47e4ae31e05d8f8d6ef0363006b8",
-      "bytes": 96820,
-      "rows": 22,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000869-0000-65a23225516e6408.parquet",
-      "sha256": "65a23225516e64080f33aabe3f108242cae60c921921f7790dd69e33cb828421",
-      "bytes": 32077,
-      "rows": 2,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000869-0000-38ea20c41a320ee2.parquet",
-      "sha256": "38ea20c41a320ee2979414c0cbb247a8704b04d1d66a11fbfb39c43ee39365a8",
-      "bytes": 62982,
-      "rows": 13,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49838",
     "goedel_workbook:lean_workbook_plus_49846",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021743.lean\",\"bba7b94d56a3eac0f8eb29ce903e03d43cd7c1dd295b281444fbdf2557cf9ec3\",0,\"lean_workbook_plus_49912\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021747.lean\",\"8314f02700ac0b87e90e79474b4b733776472ff5b7ac903ef6227b152fae46f3\",0,\"lean_workbook_plus_49946\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021748.lean\",\"6d67f96e9f8ffd4eea9f696d00d47cfe00c01f954aa20c0b0eb6cf371da04133\",0,\"lean_workbook_plus_49947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96820,
+      "path": "data/train/p75/goedel_workbook-000869-0000-7bbdf5da94e7dec1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7bbdf5da94e7dec1839c9ce3adff2b09705e47e4ae31e05d8f8d6ef0363006b8"
+    },
+    {
+      "bytes": 32077,
+      "path": "data/dev/p75/goedel_workbook-000869-0000-65a23225516e6408.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "65a23225516e64080f33aabe3f108242cae60c921921f7790dd69e33cb828421"
+    },
+    {
+      "bytes": 62982,
+      "path": "data/internal_test/p75/goedel_workbook-000869-0000-38ea20c41a320ee2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "38ea20c41a320ee2979414c0cbb247a8704b04d1d66a11fbfb39c43ee39365a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000870.json b/manifests/batches/goedel_workbook/000870.json
index 8ffdf16786c03433f7dc94f41a4773a3f877126f..039f74a44f15a63ce33cdf990d0c184e2edbf21c 100644
--- a/manifests/batches/goedel_workbook/000870.json
+++ b/manifests/batches/goedel_workbook/000870.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000870",
   "batch_fingerprint": "d8981d4961fe27ec2722b6ebc6b136aa968857fe66bf2fd3f60e8578436b35b0",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000870-0000-28d4e75c68e4ef2b.parquet",
-      "sha256": "28d4e75c68e4ef2bf1c0440be3ae7d99bed9fdcd3b01f3abf2f4aa07bbd06064",
-      "bytes": 109071,
-      "rows": 29,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000870-0000-9874c5866ed289d6.parquet",
-      "sha256": "9874c5866ed289d62e3bf98af5e1f59a93d1faaafe5162558c2368e8b6255b7b",
-      "bytes": 47614,
-      "rows": 3,
-      "revision": "3119ed9a88e8b7566850c60e76a047fb23893ee0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_49954",
     "goedel_workbook:lean_workbook_plus_49955",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021770.lean\",\"b7bb7682292bee3a8a068c6bf33c6779da55be98665dbb2ff0f05f664c0969e7\",0,\"lean_workbook_plus_50063\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021771.lean\",\"0aa56feb7045951116606fdcffcdeac4a202d2f4171e45641ab35a387960f4e3\",0,\"lean_workbook_plus_50065\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021773.lean\",\"2f6bd273e16059fc59284e1291a17e9e2a93246e26cc1bb70f84ad081226170a\",0,\"lean_workbook_plus_50078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109071,
+      "path": "data/train/p3e/goedel_workbook-000870-0000-28d4e75c68e4ef2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "28d4e75c68e4ef2bf1c0440be3ae7d99bed9fdcd3b01f3abf2f4aa07bbd06064"
+    },
+    {
+      "bytes": 47614,
+      "path": "data/internal_test/p3e/goedel_workbook-000870-0000-9874c5866ed289d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9874c5866ed289d62e3bf98af5e1f59a93d1faaafe5162558c2368e8b6255b7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000871.json b/manifests/batches/goedel_workbook/000871.json
index 17f75c08288c0b5d8af4f64cc7cd574d922669a6..1b137acf8423443ee440a36cbd410785714d161b 100644
--- a/manifests/batches/goedel_workbook/000871.json
+++ b/manifests/batches/goedel_workbook/000871.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000871",
   "batch_fingerprint": "72981eb5703aaffd6e13fbe60761d97efa3854c49bc6be1444e7400d0afcb288",
   "evidence": {
@@ -244,29 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000871-0000-2d2bc76aa728b4a4.parquet",
-      "sha256": "2d2bc76aa728b4a461fc4b544cc43a244c1fe9d2d22a4b12252c041880fb306a",
-      "bytes": 184733,
-      "rows": 37,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000871-0000-d6aeeff34031c694.parquet",
-      "sha256": "d6aeeff34031c69481abbf8b93c4dd28e7bbc17a954445dc1fe4c1110a36f403",
-      "bytes": 41783,
-      "rows": 4,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000871-0000-76922f86955f779d.parquet",
-      "sha256": "76922f86955f779dd0772bfcc3f772440284e5dad3ff2ea8586b5b5ed2e7636b",
-      "bytes": 40244,
-      "rows": 7,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50101",
     "goedel_workbook:lean_workbook_plus_50103",
@@ -296,5 +273,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021791.lean\",\"2c52977c99f53440a4b1d618c0dbbb21874d0afbe6891113c5e03fa884496151\",0,\"lean_workbook_plus_50151\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021794.lean\",\"8e43bb18c44a8774b50b7665073547cfbd3fee5eec93cbb531d873bcbde5d4da\",0,\"lean_workbook_plus_5016\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021799.lean\",\"061320b103a2ce0be2964fb95f8a590efe361413dccecf4212f30a3da697552d\",0,\"lean_workbook_plus_50206\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184733,
+      "path": "data/train/pcb/goedel_workbook-000871-0000-2d2bc76aa728b4a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "2d2bc76aa728b4a461fc4b544cc43a244c1fe9d2d22a4b12252c041880fb306a"
+    },
+    {
+      "bytes": 41783,
+      "path": "data/dev/pcb/goedel_workbook-000871-0000-d6aeeff34031c694.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d6aeeff34031c69481abbf8b93c4dd28e7bbc17a954445dc1fe4c1110a36f403"
+    },
+    {
+      "bytes": 40244,
+      "path": "data/internal_test/pcb/goedel_workbook-000871-0000-76922f86955f779d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "76922f86955f779dd0772bfcc3f772440284e5dad3ff2ea8586b5b5ed2e7636b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000872.json b/manifests/batches/goedel_workbook/000872.json
index e947b2a4cf8378397d9b164a8f2e2fdd2e4cd620..ce15ddcaea8cdcf73114d8949fabf195509deef9 100644
--- a/manifests/batches/goedel_workbook/000872.json
+++ b/manifests/batches/goedel_workbook/000872.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000872",
   "batch_fingerprint": "d9c068b74737d946e6cdf02f92019b4dba2f39d0bbf65f221491624be34483f3",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000872-0000-c567d637f7e8aa32.parquet",
-      "sha256": "c567d637f7e8aa3252b196514bdebb508686f0c11013bb20bb01d082b82d82ea",
-      "bytes": 151460,
-      "rows": 35,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000872-0000-c80c135b6c4c8b40.parquet",
-      "sha256": "c80c135b6c4c8b4030312582824767f37d270671498b6c6e54b6d7c6bd13c884",
-      "bytes": 26895,
-      "rows": 2,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50219",
     "goedel_workbook:lean_workbook_plus_50221",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021821.lean\",\"1494ea7e0dc25dd13f989045df01ed59a2d2275c24c9b50dcb3c64612e84a87f\",0,\"lean_workbook_plus_50289\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021822.lean\",\"dc2f76246ae790e3acc645d15cd4e71a56a6fe9c7aa5d0f12ee0a63ed2af2720\",0,\"lean_workbook_plus_5029\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021823.lean\",\"89220a6d0122abd475f93f4ea174ea34ae9290c37a3b0560be75b81c1b67b2d4\",0,\"lean_workbook_plus_50297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151460,
+      "path": "data/train/p2a/goedel_workbook-000872-0000-c567d637f7e8aa32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "c567d637f7e8aa3252b196514bdebb508686f0c11013bb20bb01d082b82d82ea"
+    },
+    {
+      "bytes": 26895,
+      "path": "data/internal_test/p2a/goedel_workbook-000872-0000-c80c135b6c4c8b40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c80c135b6c4c8b4030312582824767f37d270671498b6c6e54b6d7c6bd13c884"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000873.json b/manifests/batches/goedel_workbook/000873.json
index a792feee1678a7c43b00b183a443aa6fa678c077..d8644000aba249e25410d187765bae24462e536f 100644
--- a/manifests/batches/goedel_workbook/000873.json
+++ b/manifests/batches/goedel_workbook/000873.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000873",
   "batch_fingerprint": "fc94cca3663829847e95334c6f725895598b8561904ca1ee331c3d31b873b614",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000873-0000-cf28b044bc3fa3d1.parquet",
-      "sha256": "cf28b044bc3fa3d133bab076036b436f59fa24c00be6ef8c6aa161b5335ff69c",
-      "bytes": 170297,
-      "rows": 36,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000873-0000-c2264c8bda10af9a.parquet",
-      "sha256": "c2264c8bda10af9afa2c51243be33dc71b829b8c58800924e83ac2fe09687e31",
-      "bytes": 38439,
-      "rows": 3,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_503",
     "goedel_workbook:lean_workbook_plus_50311",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021845.lean\",\"754ca7009c644b86e0edd953e1c464fe8afe7105451f35969b0e92ad047a39e3\",0,\"lean_workbook_plus_5036\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021846.lean\",\"d24526b5a81ef5ade6d8fa2aed4fca5940c921754dacc0a66212ab9dca0b9f01\",0,\"lean_workbook_plus_50363\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021849.lean\",\"fe6315e635ab55e3b888bb74f5cb20fe3e616042dcf7347fa558315fbf6aa2a4\",0,\"lean_workbook_plus_50385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170297,
+      "path": "data/train/p5b/goedel_workbook-000873-0000-cf28b044bc3fa3d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "cf28b044bc3fa3d133bab076036b436f59fa24c00be6ef8c6aa161b5335ff69c"
+    },
+    {
+      "bytes": 38439,
+      "path": "data/internal_test/p5b/goedel_workbook-000873-0000-c2264c8bda10af9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c2264c8bda10af9afa2c51243be33dc71b829b8c58800924e83ac2fe09687e31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000874.json b/manifests/batches/goedel_workbook/000874.json
index a5258004e512cba1ab886c5fb9f2cb7e3302bd8e..465cbc4fa7ee6348c8e11f8a3819c08a584bb3f6 100644
--- a/manifests/batches/goedel_workbook/000874.json
+++ b/manifests/batches/goedel_workbook/000874.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000874",
   "batch_fingerprint": "f0c007ca9a3d1c1a95e20d845f0e3d631ef0afa7f1dd36e0ff03d71b65a4b6df",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000874-0000-51c228dcb36c9ce9.parquet",
-      "sha256": "51c228dcb36c9ce99275f876411378031ad900153992b28cf1979e3d3e0c025e",
-      "bytes": 163776,
-      "rows": 41,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000874-0000-f72657e44c2675e3.parquet",
-      "sha256": "f72657e44c2675e309c2c794bc94dccdd199c7e82852c1fd8295b8c6270c9086",
-      "bytes": 75045,
-      "rows": 16,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000874-0000-fad158d12ac1247b.parquet",
-      "sha256": "fad158d12ac1247b7f5263d7cddaf7efe359dc0b2ad1aabc33c0d779408c28f7",
-      "bytes": 75642,
-      "rows": 9,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50389",
     "goedel_workbook:lean_workbook_plus_50390",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021871.lean\",\"d04af3af6b2a08113edb8eaf0b1c99008a9cffb64b11b0a3c33c78d59f60c867\",0,\"lean_workbook_plus_5048\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021872.lean\",\"e6adc2fd75867ed05c00915d27eade168f49b3831422317887347cdbfe0c1146\",0,\"lean_workbook_plus_50485\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021873.lean\",\"85a4edeabbdfb010fa0525cf760c568a8af6606d399d6daaf6f461affe220c4a\",0,\"lean_workbook_plus_50493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163776,
+      "path": "data/train/p38/goedel_workbook-000874-0000-51c228dcb36c9ce9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "51c228dcb36c9ce99275f876411378031ad900153992b28cf1979e3d3e0c025e"
+    },
+    {
+      "bytes": 75045,
+      "path": "data/dev/p38/goedel_workbook-000874-0000-f72657e44c2675e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f72657e44c2675e309c2c794bc94dccdd199c7e82852c1fd8295b8c6270c9086"
+    },
+    {
+      "bytes": 75642,
+      "path": "data/internal_test/p38/goedel_workbook-000874-0000-fad158d12ac1247b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fad158d12ac1247b7f5263d7cddaf7efe359dc0b2ad1aabc33c0d779408c28f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000875.json b/manifests/batches/goedel_workbook/000875.json
index b8b60b988a236868633815a4520d0705b031121b..6381b503b4af334dedc009332f6352765714518e 100644
--- a/manifests/batches/goedel_workbook/000875.json
+++ b/manifests/batches/goedel_workbook/000875.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000875",
   "batch_fingerprint": "d75c9b23abcf89f603a205e3a57a5ec392d75385a7f21505d79b4e0e6b7a98b9",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000875-0000-ec50696df8c4b565.parquet",
-      "sha256": "ec50696df8c4b565611e3be84edbc42a09b12cd710ce0805fc9c233a6a018828",
-      "bytes": 122758,
-      "rows": 31,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000875-0000-e81f8ae0354b2804.parquet",
-      "sha256": "e81f8ae0354b2804455424560556e03a37890a39df07216bc4b4ba58009ae6a9",
-      "bytes": 34429,
-      "rows": 1,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000875-0000-8b50266f876611fc.parquet",
-      "sha256": "8b50266f876611fc377582e169a7d894ea13d264e24fe653a612f6b972640282",
-      "bytes": 43104,
-      "rows": 4,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50512",
     "goedel_workbook:lean_workbook_plus_50517",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021895.lean\",\"139c4896a4f9bbc9b9dcab49d9d8008c4529f4d63ddb6070516afbb6e293edf5\",0,\"lean_workbook_plus_50580\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021897.lean\",\"021aa1f22e476475b2946d1f6d95ed9f526c21466a04f831ca90156d2a54ae47\",0,\"lean_workbook_plus_50585\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021899.lean\",\"ac140bcb85b10ad87a34123cd8a4153d261fbdb93c074f392152560e139822fd\",0,\"lean_workbook_plus_50596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122758,
+      "path": "data/train/p1e/goedel_workbook-000875-0000-ec50696df8c4b565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "ec50696df8c4b565611e3be84edbc42a09b12cd710ce0805fc9c233a6a018828"
+    },
+    {
+      "bytes": 34429,
+      "path": "data/dev/p1e/goedel_workbook-000875-0000-e81f8ae0354b2804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e81f8ae0354b2804455424560556e03a37890a39df07216bc4b4ba58009ae6a9"
+    },
+    {
+      "bytes": 43104,
+      "path": "data/internal_test/p1e/goedel_workbook-000875-0000-8b50266f876611fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8b50266f876611fc377582e169a7d894ea13d264e24fe653a612f6b972640282"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000876.json b/manifests/batches/goedel_workbook/000876.json
index a9a4aec6a58d70775a090d37b4c0d1fd0cf3e738..734219971d293d12f735c31ed270c6c82ddb4680 100644
--- a/manifests/batches/goedel_workbook/000876.json
+++ b/manifests/batches/goedel_workbook/000876.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000876",
   "batch_fingerprint": "dcda2bbce5cb6fe458143f303dded6ee4ccff532bb53a7f8101bec17838be2c2",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000876-0000-f3c825c230298a0e.parquet",
-      "sha256": "f3c825c230298a0e772c2ff9b41fb54a031f6b3a3cbc65fce3e8582feedc4366",
-      "bytes": 94100,
-      "rows": 24,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000876-0000-8ae8819d1c21fa8f.parquet",
-      "sha256": "8ae8819d1c21fa8f8d55a501be61da83c3dc2171c7e508c2a342a65491bff5db",
-      "bytes": 41286,
-      "rows": 3,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50613",
     "goedel_workbook:lean_workbook_plus_50617",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021918.lean\",\"701d516653dfa2b9d208765394f378f1a9131ebbde5a39166c5e95f60c85f45e\",0,\"lean_workbook_plus_50673\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021922.lean\",\"b6cfa2e630441c9b44b294658ffd2b0c28a31040f1c802110e37fc597e349137\",0,\"lean_workbook_plus_50688\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021924.lean\",\"a6ac37bd2a7d4b4fe3b0aff3a89fd6d5b07cd692c762756342f00ff3980fe007\",0,\"lean_workbook_plus_50690\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94100,
+      "path": "data/train/p7a/goedel_workbook-000876-0000-f3c825c230298a0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f3c825c230298a0e772c2ff9b41fb54a031f6b3a3cbc65fce3e8582feedc4366"
+    },
+    {
+      "bytes": 41286,
+      "path": "data/dev/p7a/goedel_workbook-000876-0000-8ae8819d1c21fa8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8ae8819d1c21fa8f8d55a501be61da83c3dc2171c7e508c2a342a65491bff5db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000877.json b/manifests/batches/goedel_workbook/000877.json
index a0c14f50bc2d8375e29c37cf158fab7069cbebe7..d6704449c0fe252d734326f5e3155b725e24732e 100644
--- a/manifests/batches/goedel_workbook/000877.json
+++ b/manifests/batches/goedel_workbook/000877.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000877",
   "batch_fingerprint": "976683b93c76cd58334a7a699b81bd3917cddc20f4d8eb07cdc79b6de1153a47",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000877-0000-3a599eca72da38d2.parquet",
-      "sha256": "3a599eca72da38d28c5a5ce7fafef45e1fa43a0bb6e2192219cfd43aff2bf385",
-      "bytes": 128125,
-      "rows": 23,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000877-0000-f007f30ee1d380d0.parquet",
-      "sha256": "f007f30ee1d380d02ed05fae9116a6b50975f322acc03cfa2791cbdaa75106ed",
-      "bytes": 66394,
-      "rows": 6,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000877-0000-8c87bbd68385432e.parquet",
-      "sha256": "8c87bbd68385432e146cac9a4f7ff0d036bc80f5136e6a1583c3b7edb529b796",
-      "bytes": 42465,
-      "rows": 6,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50698",
     "goedel_workbook:lean_workbook_plus_50710",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021945.lean\",\"a4fb60d4604b0a7d2ca9ce37d7f0fd3e224d50df94551f81f34d0578807fcf4f\",0,\"lean_workbook_plus_50771\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021946.lean\",\"c1b91efd3e0721aca75abab1f9d0d8caae070156d5ca4e05c37b3aae3f2cc4a0\",0,\"lean_workbook_plus_50775\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021948.lean\",\"f065425546a989a7a3d4f5941f0e794fa171ef1e4b595944aecddfa8aa7e1d7b\",0,\"lean_workbook_plus_5079\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128125,
+      "path": "data/train/p4b/goedel_workbook-000877-0000-3a599eca72da38d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "3a599eca72da38d28c5a5ce7fafef45e1fa43a0bb6e2192219cfd43aff2bf385"
+    },
+    {
+      "bytes": 66394,
+      "path": "data/dev/p4b/goedel_workbook-000877-0000-f007f30ee1d380d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f007f30ee1d380d02ed05fae9116a6b50975f322acc03cfa2791cbdaa75106ed"
+    },
+    {
+      "bytes": 42465,
+      "path": "data/internal_test/p4b/goedel_workbook-000877-0000-8c87bbd68385432e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8c87bbd68385432e146cac9a4f7ff0d036bc80f5136e6a1583c3b7edb529b796"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000878.json b/manifests/batches/goedel_workbook/000878.json
index 6b41e73fc8b3c8c0dd2cdc7473c44954125d0d8c..fe9f3b2239e291ed2cdaefefb39dc526f8690fa6 100644
--- a/manifests/batches/goedel_workbook/000878.json
+++ b/manifests/batches/goedel_workbook/000878.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000878",
   "batch_fingerprint": "c165a399b1472be710b9fe8a31201751afbf9e3cd66a515624d8630155e84a4e",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000878-0000-7d7d564819281857.parquet",
-      "sha256": "7d7d5648192818579309da89f2e35e7b3f8ef57b43ea9c5b692d1538dfc5306f",
-      "bytes": 157117,
-      "rows": 39,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000878-0000-73cbb3217a52c872.parquet",
-      "sha256": "73cbb3217a52c87226a47a3480d81654e0d8a9ab0b17457ebc042ba160e34d9f",
-      "bytes": 42268,
-      "rows": 3,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50804",
     "goedel_workbook:lean_workbook_plus_50812",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021969.lean\",\"912384dafa5d6f3251fbdc6b02bada0ca6cab8596e55bda783e542d57076fa63\",0,\"lean_workbook_plus_50860\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021973.lean\",\"e586ee64986dacdfb0f558b57802ef6cf6325a4d74431bf439ccf0cb2a133756\",0,\"lean_workbook_plus_50874\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021974.lean\",\"94f4ba34c1321905ac612aa1dc8f2e84c76ddbb25d5840ffe7791dd5f331b608\",0,\"lean_workbook_plus_50876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157117,
+      "path": "data/train/p18/goedel_workbook-000878-0000-7d7d564819281857.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7d7d5648192818579309da89f2e35e7b3f8ef57b43ea9c5b692d1538dfc5306f"
+    },
+    {
+      "bytes": 42268,
+      "path": "data/internal_test/p18/goedel_workbook-000878-0000-73cbb3217a52c872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "73cbb3217a52c87226a47a3480d81654e0d8a9ab0b17457ebc042ba160e34d9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000879.json b/manifests/batches/goedel_workbook/000879.json
index 1a3eac97bbeacb5a5d1b2b04efa066f3d5d9db72..26a842a8111beaefaafc2e8515d1cc46201790cf 100644
--- a/manifests/batches/goedel_workbook/000879.json
+++ b/manifests/batches/goedel_workbook/000879.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000879",
   "batch_fingerprint": "be3296038b69a2785066247175f7fd6056e508e8e3a8fc84eaeb7f8369d9f650",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000879-0000-63a1afe538794e32.parquet",
-      "sha256": "63a1afe538794e3210cead4ab324991710189187d625e2f0120d7f33a4ccdf8f",
-      "bytes": 261717,
-      "rows": 50,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000879-0000-5dd228bff429640b.parquet",
-      "sha256": "5dd228bff429640b5e33171e0ff633471bea5bdf179ec2b62d3bec60516952e5",
-      "bytes": 27671,
-      "rows": 2,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000879-0000-84fe4c3a6107043a.parquet",
-      "sha256": "84fe4c3a6107043a8b06c4df5d308298b42de76c6b61d9a346b782128e69c80c",
-      "bytes": 39240,
-      "rows": 5,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_50878",
     "goedel_workbook:lean_workbook_plus_50879",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021995.lean\",\"77f94dc1521b360f5fdb1dc633feb9797ccba01ffcf4037d435c7212cbb3b535\",0,\"lean_workbook_plus_50991\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021996.lean\",\"ed3f67e5f939bdaeaf0f0b711a9726737eed3c1965beabdb0b94e1b673da688a\",0,\"lean_workbook_plus_50992\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_021997.lean\",\"669c73778f2237aa4a9b6d996c8900a39b1b541e7c0b1f58e07f257c0851758e\",0,\"lean_workbook_plus_50993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261717,
+      "path": "data/train/p0b/goedel_workbook-000879-0000-63a1afe538794e32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "63a1afe538794e3210cead4ab324991710189187d625e2f0120d7f33a4ccdf8f"
+    },
+    {
+      "bytes": 27671,
+      "path": "data/dev/p0b/goedel_workbook-000879-0000-5dd228bff429640b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5dd228bff429640b5e33171e0ff633471bea5bdf179ec2b62d3bec60516952e5"
+    },
+    {
+      "bytes": 39240,
+      "path": "data/internal_test/p0b/goedel_workbook-000879-0000-84fe4c3a6107043a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "84fe4c3a6107043a8b06c4df5d308298b42de76c6b61d9a346b782128e69c80c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000880.json b/manifests/batches/goedel_workbook/000880.json
index 1126f9f256d1d7309a059722bb4c6bc23d133217..4e92562ff8e9e5403bac86b978f4c0f716df97e0 100644
--- a/manifests/batches/goedel_workbook/000880.json
+++ b/manifests/batches/goedel_workbook/000880.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000880",
   "batch_fingerprint": "4c297904b55d3898bc6cca6f337c4bc3b83ac80c4fa81ddb4c3f01a11240c334",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000880-0000-c371ced5017fe991.parquet",
-      "sha256": "c371ced5017fe991d3483fc2f8f858eef56e3450ef271563dc5c27b60ac4211e",
-      "bytes": 99730,
-      "rows": 27,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000880-0000-0732a09b8af6243f.parquet",
-      "sha256": "0732a09b8af6243f6cd9d1686917413ac367f1364622e66365aef9e50a456b3a",
-      "bytes": 26836,
-      "rows": 1,
-      "revision": "5bbdf401adb816b4da2d0168f82ae3c3d328eca1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51000",
     "goedel_workbook:lean_workbook_plus_51001",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022020.lean\",\"a8fa879dc6b66a305290ace0b8d116bc7bfeb9e6562e589445b75231631b4680\",0,\"lean_workbook_plus_51058\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022021.lean\",\"bfdeadf627a10c4df4590b10fb66b2a010afe6cd536c8807cbb30862c42d517a\",0,\"lean_workbook_plus_51070\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022023.lean\",\"177d6e0cb4ef92701c96c411cb1d1d6405faa3d4b83e9c10840d48898ee07208\",0,\"lean_workbook_plus_51082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99730,
+      "path": "data/train/pca/goedel_workbook-000880-0000-c371ced5017fe991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "c371ced5017fe991d3483fc2f8f858eef56e3450ef271563dc5c27b60ac4211e"
+    },
+    {
+      "bytes": 26836,
+      "path": "data/dev/pca/goedel_workbook-000880-0000-0732a09b8af6243f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0732a09b8af6243f6cd9d1686917413ac367f1364622e66365aef9e50a456b3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000881.json b/manifests/batches/goedel_workbook/000881.json
index 232efb740de5aebd80c8ceb66619871a17137dbe..03e1651a977b77d163d680e01ec8df8011c7dcd9 100644
--- a/manifests/batches/goedel_workbook/000881.json
+++ b/manifests/batches/goedel_workbook/000881.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000881",
   "batch_fingerprint": "c3f748dff7a06d08b455701c734b04ec3d6743a8bf42aad663807f735e71c7ac",
   "evidence": {
@@ -307,29 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000881-0000-ae3efacf435fcad4.parquet",
-      "sha256": "ae3efacf435fcad4657ca73669b0ad9a193a781a55711c51ea40507b3eade467",
-      "bytes": 80427,
-      "rows": 20,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000881-0000-189e3ef005af5d01.parquet",
-      "sha256": "189e3ef005af5d01244498ee5b870bf4b0faae5e86cb5386a4991a719a843c64",
-      "bytes": 41889,
-      "rows": 2,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000881-0000-cf430489b3d1397d.parquet",
-      "sha256": "cf430489b3d1397d49fc293b60dfd8bb34067671c1c8b0cd2f66ed8c2db5d556",
-      "bytes": 37008,
-      "rows": 2,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51104",
     "goedel_workbook:lean_workbook_plus_51123",
@@ -351,5 +328,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022040.lean\",\"9cc290f6d8fb4fd6cb861d133fb0bc064fd227ad0192e86b64c658752527b164\",0,\"lean_workbook_plus_51167\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022047.lean\",\"dd19e37f566e8e93dd54e2332eaf739c9c7c2bc41d96a54bb9881443362d0514\",0,\"lean_workbook_plus_51214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80427,
+      "path": "data/train/p4d/goedel_workbook-000881-0000-ae3efacf435fcad4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ae3efacf435fcad4657ca73669b0ad9a193a781a55711c51ea40507b3eade467"
+    },
+    {
+      "bytes": 41889,
+      "path": "data/dev/p4d/goedel_workbook-000881-0000-189e3ef005af5d01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "189e3ef005af5d01244498ee5b870bf4b0faae5e86cb5386a4991a719a843c64"
+    },
+    {
+      "bytes": 37008,
+      "path": "data/internal_test/p4d/goedel_workbook-000881-0000-cf430489b3d1397d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cf430489b3d1397d49fc293b60dfd8bb34067671c1c8b0cd2f66ed8c2db5d556"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000882.json b/manifests/batches/goedel_workbook/000882.json
index 0ff6b7f22c95a119f3901387c44983b113f930e8..62e15d874762766d16120e7ca071bff5f65065e9 100644
--- a/manifests/batches/goedel_workbook/000882.json
+++ b/manifests/batches/goedel_workbook/000882.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000882",
   "batch_fingerprint": "0ffe68185ec36f553ca4d8908058e8ed6cf910b0b696891f282a38f096ad6d5d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000882-0000-bf92361b25d358be.parquet",
-      "sha256": "bf92361b25d358be06585dc56b8e1b818254561180a12ce740c482de1f075126",
-      "bytes": 96897,
-      "rows": 29,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000882-0000-a75ca5e8daa691b9.parquet",
-      "sha256": "a75ca5e8daa691b940fac0539cba93965e654865343e59a6fe07b96a73348522",
-      "bytes": 64731,
-      "rows": 8,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000882-0000-25ca6652e961a91f.parquet",
-      "sha256": "25ca6652e961a91fcc7ac1b2136f2d1ed323ad6b959d018525d885b30603dbd3",
-      "bytes": 34491,
-      "rows": 5,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51239",
     "goedel_workbook:lean_workbook_plus_5124",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022070.lean\",\"8791a9af0de82392e521b37bc3d73143e2ab5eabfd8178f38b1fb838db1d8999\",0,\"lean_workbook_plus_51326\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022071.lean\",\"58a555b1cd8e4a2d0d0f23ff79e2c37901622fa00707abe65c5c3fe668377ba7\",0,\"lean_workbook_plus_51336\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022073.lean\",\"8adc15c29f49f35dc2c0c8b0f5da2c2f8d852c82649279d090f90affd6c5a97b\",0,\"lean_workbook_plus_5134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96897,
+      "path": "data/train/p19/goedel_workbook-000882-0000-bf92361b25d358be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "bf92361b25d358be06585dc56b8e1b818254561180a12ce740c482de1f075126"
+    },
+    {
+      "bytes": 64731,
+      "path": "data/dev/p19/goedel_workbook-000882-0000-a75ca5e8daa691b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a75ca5e8daa691b940fac0539cba93965e654865343e59a6fe07b96a73348522"
+    },
+    {
+      "bytes": 34491,
+      "path": "data/internal_test/p19/goedel_workbook-000882-0000-25ca6652e961a91f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "25ca6652e961a91fcc7ac1b2136f2d1ed323ad6b959d018525d885b30603dbd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000883.json b/manifests/batches/goedel_workbook/000883.json
index 5f7f820d95563d7533a4693f145bf11d407e804a..2d13d3f02a91451a01f09b3e6b8a5e47f2ada24c 100644
--- a/manifests/batches/goedel_workbook/000883.json
+++ b/manifests/batches/goedel_workbook/000883.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000883",
   "batch_fingerprint": "8c34bc5e368231a16192be2f18cfc0e6108dff3610c7e7b1b9f667420f634504",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000883-0000-6394e81e89a9d872.parquet",
-      "sha256": "6394e81e89a9d872ccd2f8b823d5aad5b921769f8be99d8aaca53f70f0baffcd",
-      "bytes": 115409,
-      "rows": 31,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000883-0000-7febc90890c6435b.parquet",
-      "sha256": "7febc90890c6435b2a7e209f95964d1e557bad08b3d5e074d910e69b6422db55",
-      "bytes": 41277,
-      "rows": 4,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51358",
     "goedel_workbook:lean_workbook_plus_51362",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022092.lean\",\"9b09043e4a517cb50f6072d3adf66948c3dcd941443943e7319d74e9fa856b37\",0,\"lean_workbook_plus_51408\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022093.lean\",\"4896966c24a4e299142697abdf449f4d2b5e0f831758020d0f8e715a5dddab01\",0,\"lean_workbook_plus_51414\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022096.lean\",\"9b287ed853ffcb9f1ddeefede6bdeb3f3320fe94621ab556cc37c59e1e48883e\",0,\"lean_workbook_plus_51418\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115409,
+      "path": "data/train/p19/goedel_workbook-000883-0000-6394e81e89a9d872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6394e81e89a9d872ccd2f8b823d5aad5b921769f8be99d8aaca53f70f0baffcd"
+    },
+    {
+      "bytes": 41277,
+      "path": "data/internal_test/p19/goedel_workbook-000883-0000-7febc90890c6435b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7febc90890c6435b2a7e209f95964d1e557bad08b3d5e074d910e69b6422db55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000884.json b/manifests/batches/goedel_workbook/000884.json
index 160e0a5496227c00272f0444c737934f6c7e36e0..8e43be6077191a30ce5f589aa8ada09fec69f7ae 100644
--- a/manifests/batches/goedel_workbook/000884.json
+++ b/manifests/batches/goedel_workbook/000884.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000884",
   "batch_fingerprint": "c358bb118f67e6af09c8cb323fc2cc7e6bd8a1ca1e5234d2ec90270775cfe483",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000884-0000-83d7302579635833.parquet",
-      "sha256": "83d7302579635833d88f95856e024064f6e04043be28029a4fa007cfc1b3a68d",
-      "bytes": 129688,
-      "rows": 28,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000884-0000-f7cb0ca00eeda8d2.parquet",
-      "sha256": "f7cb0ca00eeda8d2bc54a8d3e00b7271485ec0154986a057c0a4c7e77aacc8c8",
-      "bytes": 26166,
-      "rows": 1,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000884-0000-a423f6bcae2b24df.parquet",
-      "sha256": "a423f6bcae2b24dfa16b708382cba405ec5556b728c75b835649211cf8841039",
-      "bytes": 32486,
-      "rows": 1,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51434",
     "goedel_workbook:lean_workbook_plus_51440",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022121.lean\",\"9b092843aaf0e8da9ad42f29f5488c626b0541bd04791a5ae5686beee575785d\",0,\"lean_workbook_plus_51500\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022123.lean\",\"fe98bb9e1817ed736c25111ee1ce18d9accdee02046c95212c150fc8635d4a7b\",0,\"lean_workbook_plus_51504\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022124.lean\",\"5dbc9f49da74ec83e69e9f3761e6454289f3e29bc31593c587ee8ba1c635ed3a\",0,\"lean_workbook_plus_51507\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129688,
+      "path": "data/train/pee/goedel_workbook-000884-0000-83d7302579635833.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "83d7302579635833d88f95856e024064f6e04043be28029a4fa007cfc1b3a68d"
+    },
+    {
+      "bytes": 26166,
+      "path": "data/dev/pee/goedel_workbook-000884-0000-f7cb0ca00eeda8d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f7cb0ca00eeda8d2bc54a8d3e00b7271485ec0154986a057c0a4c7e77aacc8c8"
+    },
+    {
+      "bytes": 32486,
+      "path": "data/internal_test/pee/goedel_workbook-000884-0000-a423f6bcae2b24df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a423f6bcae2b24dfa16b708382cba405ec5556b728c75b835649211cf8841039"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000885.json b/manifests/batches/goedel_workbook/000885.json
index 0b710474896fe7abd5fe09a59070e8bb7304ed11..0a448350714cfdb642243e332af2ba6130290439 100644
--- a/manifests/batches/goedel_workbook/000885.json
+++ b/manifests/batches/goedel_workbook/000885.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000885",
   "batch_fingerprint": "0588e9fd8a2e3dd468286a0345683403f0858c79d6702b9d03bf6bf2c53eef7f",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000885-0000-89e87fda2f09bdbf.parquet",
-      "sha256": "89e87fda2f09bdbfb3a84016d865b6b9bbd6f8dd2ca557cb2d9a2eaa5b9e12fb",
-      "bytes": 140809,
-      "rows": 35,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000885-0000-f84301d5bf24b381.parquet",
-      "sha256": "f84301d5bf24b381ec5b95de3c74b281281596932ffbed5178f0587177ebf02c",
-      "bytes": 45700,
-      "rows": 7,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000885-0000-d722234faee5fece.parquet",
-      "sha256": "d722234faee5fece4201fbc85cf8f9a41c8a880555394080ed8bc7d593cf51be",
-      "bytes": 28589,
-      "rows": 1,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_5152",
     "goedel_workbook:lean_workbook_plus_51528",
@@ -216,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022147.lean\",\"afbc99e51c3b9ea9349313fd4ad7177250bb355f45a5c4733f817aa9b5045881\",0,\"lean_workbook_plus_5161\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022148.lean\",\"364f32e94052721bdad1f585c28cfdbd9d93c150a507c71ae8059e4c959a9aec\",0,\"lean_workbook_plus_51616\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022149.lean\",\"7006db8a4eaa05b4f22306629170442388ce1629bf4ada6d5ccdd478dbfe28a0\",0,\"lean_workbook_plus_5162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140809,
+      "path": "data/train/p10/goedel_workbook-000885-0000-89e87fda2f09bdbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "89e87fda2f09bdbfb3a84016d865b6b9bbd6f8dd2ca557cb2d9a2eaa5b9e12fb"
+    },
+    {
+      "bytes": 45700,
+      "path": "data/internal_test/p10/goedel_workbook-000885-0000-f84301d5bf24b381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f84301d5bf24b381ec5b95de3c74b281281596932ffbed5178f0587177ebf02c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000886.json b/manifests/batches/goedel_workbook/000886.json
index 8aca53f9b3897f7a88dd32cd83d743f4c760224c..997954ca14f51224290a1ae41dd853b559686070 100644
--- a/manifests/batches/goedel_workbook/000886.json
+++ b/manifests/batches/goedel_workbook/000886.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000886",
   "batch_fingerprint": "dea5b54f31c7aaaab58356bd5c7d750722a7ef527d6087fd403b004d5221785b",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000886-0000-d718b9712daa2edd.parquet",
-      "sha256": "d718b9712daa2edd2f483860b13e04386a5b310bbd5640505d963aa30b019ec6",
-      "bytes": 171502,
-      "rows": 46,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000886-0000-1381390dd41670f3.parquet",
-      "sha256": "1381390dd41670f34d6099f4a23a7908b44f4879090d39a199be697a27ecfe33",
-      "bytes": 42717,
-      "rows": 3,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000886-0000-f08673bcfda7d7b5.parquet",
-      "sha256": "f08673bcfda7d7b50411a6e271e3db01d0bf548cd85c9fc1d9cc025c35f8a40a",
-      "bytes": 35893,
-      "rows": 4,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51626",
     "goedel_workbook:lean_workbook_plus_51627",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022168.lean\",\"3cb565fdd23173f68f5e839929b3b8b741b3f0da716ae9687165a703ca54a103\",0,\"lean_workbook_plus_51692\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022169.lean\",\"13fb645361054afbf04c50ff58c1b2c37e2bb18b48e2e253189fd774daef3801\",0,\"lean_workbook_plus_5170\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022174.lean\",\"352e802594c3f33e6cbb1703f709db7b6253f85d451fab90c588e6bac977c458\",0,\"lean_workbook_plus_51722\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171502,
+      "path": "data/train/p3e/goedel_workbook-000886-0000-d718b9712daa2edd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "d718b9712daa2edd2f483860b13e04386a5b310bbd5640505d963aa30b019ec6"
+    },
+    {
+      "bytes": 42717,
+      "path": "data/dev/p3e/goedel_workbook-000886-0000-1381390dd41670f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1381390dd41670f34d6099f4a23a7908b44f4879090d39a199be697a27ecfe33"
+    },
+    {
+      "bytes": 35893,
+      "path": "data/internal_test/p3e/goedel_workbook-000886-0000-f08673bcfda7d7b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f08673bcfda7d7b50411a6e271e3db01d0bf548cd85c9fc1d9cc025c35f8a40a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000887.json b/manifests/batches/goedel_workbook/000887.json
index 99ae4ecc9713e34690bba162e554e7dca5036eb8..20171923c7ba9d56ccdad129561d9aed11e32b4f 100644
--- a/manifests/batches/goedel_workbook/000887.json
+++ b/manifests/batches/goedel_workbook/000887.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000887",
   "batch_fingerprint": "bfe40dd35292a9865888b4390b936ac9982af66086099cebdad777c43d2b2f17",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000887-0000-d51fa9d91393a7b6.parquet",
-      "sha256": "d51fa9d91393a7b638b16e1a7c523690ebc9cedde7aa5a559c7ce3a9ca5e74a2",
-      "bytes": 123043,
-      "rows": 29,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000887-0000-9e87169a47f2564c.parquet",
-      "sha256": "9e87169a47f2564c64cb019de8cea694c5f28abfc3974cbc637a17d2fdd10c73",
-      "bytes": 34678,
-      "rows": 4,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51744",
     "goedel_workbook:lean_workbook_plus_51751",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022195.lean\",\"0160cd65758851424bd86da460259bdc75a6cff8f8ad704c3a7b92df3a7adc72\",0,\"lean_workbook_plus_51822\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022196.lean\",\"bde811d2b410207040ac5761e55c0c06cb52f232fe5f148d09723e40078e794f\",0,\"lean_workbook_plus_51827\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022199.lean\",\"fe560212c013365884f31016f181307799aaec8dabf1867d722cfa113b79ec82\",0,\"lean_workbook_plus_51837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123043,
+      "path": "data/train/pd4/goedel_workbook-000887-0000-d51fa9d91393a7b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d51fa9d91393a7b638b16e1a7c523690ebc9cedde7aa5a559c7ce3a9ca5e74a2"
+    },
+    {
+      "bytes": 34678,
+      "path": "data/internal_test/pd4/goedel_workbook-000887-0000-9e87169a47f2564c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9e87169a47f2564c64cb019de8cea694c5f28abfc3974cbc637a17d2fdd10c73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000888.json b/manifests/batches/goedel_workbook/000888.json
index 1479389d112a5ffdc486d2d1e24bd8e95bfc277f..834919bc5c6afc863cacf2aa7e4df854e19c3678 100644
--- a/manifests/batches/goedel_workbook/000888.json
+++ b/manifests/batches/goedel_workbook/000888.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000888",
   "batch_fingerprint": "dd71c98bd7debd8e52f1889728bfd01dd9a44941bd6a1643649e70e8f1932b0a",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000888-0000-f0698f3a038cbfa2.parquet",
-      "sha256": "f0698f3a038cbfa23ae2b62ec0594cf1072a86110819c22d9b459b8f6b377eb9",
-      "bytes": 214823,
-      "rows": 47,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000888-0000-a33466c85207e1d9.parquet",
-      "sha256": "a33466c85207e1d9f0effbc38c7c466cb1f8f570b183d5c65d1862d2100e3bf9",
-      "bytes": 36275,
-      "rows": 3,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000888-0000-1e36bb4487887ae2.parquet",
-      "sha256": "1e36bb4487887ae2c65f9db9a6d7fc66d9777dfb74e7a657ff38e58a2343441e",
-      "bytes": 45939,
-      "rows": 2,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51854",
     "goedel_workbook:lean_workbook_plus_51858",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022222.lean\",\"d3c973d9c981439c8643c578ce9a9cd578b9b316fad50b7461f031856b82a76c\",0,\"lean_workbook_plus_51924\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022223.lean\",\"1667ca1c1c88f8c46c8f11a5653f7c368d83b1cceb91db34e075b23e512c8f97\",0,\"lean_workbook_plus_51930\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022224.lean\",\"a54b3a0c0f0ead8700a97ba310852903995fc1ce25f02a83f0f0ca20e5851c17\",0,\"lean_workbook_plus_51947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214823,
+      "path": "data/train/p18/goedel_workbook-000888-0000-f0698f3a038cbfa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f0698f3a038cbfa23ae2b62ec0594cf1072a86110819c22d9b459b8f6b377eb9"
+    },
+    {
+      "bytes": 36275,
+      "path": "data/dev/p18/goedel_workbook-000888-0000-a33466c85207e1d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a33466c85207e1d9f0effbc38c7c466cb1f8f570b183d5c65d1862d2100e3bf9"
+    },
+    {
+      "bytes": 45939,
+      "path": "data/internal_test/p18/goedel_workbook-000888-0000-1e36bb4487887ae2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1e36bb4487887ae2c65f9db9a6d7fc66d9777dfb74e7a657ff38e58a2343441e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000889.json b/manifests/batches/goedel_workbook/000889.json
index 4e531c16eef8ac3196f2b3ea2310adcb916a64aa..4999a8c6b5a1d14d82d5681c289d032eec809281 100644
--- a/manifests/batches/goedel_workbook/000889.json
+++ b/manifests/batches/goedel_workbook/000889.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000889",
   "batch_fingerprint": "171973640d5aeb0f0c435d70c4105da62007bab0877c487abc071a9b3a24ad9e",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000889-0000-7c2bfa53c10cf0ed.parquet",
-      "sha256": "7c2bfa53c10cf0eddb02c9adeda8633ea9fa20fd5c2468fad981a8f8adbbd79f",
-      "bytes": 131739,
-      "rows": 31,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000889-0000-e5e87101f54d1b04.parquet",
-      "sha256": "e5e87101f54d1b04003aa621bcc67b7d45d299e633f8729e930627496fd44787",
-      "bytes": 32671,
-      "rows": 4,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000889-0000-3c7e48b1700dbd25.parquet",
-      "sha256": "3c7e48b1700dbd25b40ffc80bc234166dda4844279e8859fecd0abf607797323",
-      "bytes": 33009,
-      "rows": 2,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_51949",
     "goedel_workbook:lean_workbook_plus_51954",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022247.lean\",\"bf039771c82543bb00b4e76452aec33fe8db6b25250961004a8de3aaf84a759a\",0,\"lean_workbook_plus_52038\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022248.lean\",\"f32d30f48b52c36802deb73089c44a5a4a39bcf59177ca719e522249cbf21806\",0,\"lean_workbook_plus_52039\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022249.lean\",\"694603276e20c47897138fd17942a2829493fbf3b8e5de1976433a377aead1dd\",0,\"lean_workbook_plus_52041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131739,
+      "path": "data/train/pde/goedel_workbook-000889-0000-7c2bfa53c10cf0ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7c2bfa53c10cf0eddb02c9adeda8633ea9fa20fd5c2468fad981a8f8adbbd79f"
+    },
+    {
+      "bytes": 32671,
+      "path": "data/dev/pde/goedel_workbook-000889-0000-e5e87101f54d1b04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e5e87101f54d1b04003aa621bcc67b7d45d299e633f8729e930627496fd44787"
+    },
+    {
+      "bytes": 33009,
+      "path": "data/internal_test/pde/goedel_workbook-000889-0000-3c7e48b1700dbd25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3c7e48b1700dbd25b40ffc80bc234166dda4844279e8859fecd0abf607797323"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000890.json b/manifests/batches/goedel_workbook/000890.json
index a8b938e5269dc3b78ae92027d79af2b366f300bb..6216b6a45ac3de6428486d9df1897acfb0e793f2 100644
--- a/manifests/batches/goedel_workbook/000890.json
+++ b/manifests/batches/goedel_workbook/000890.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000890",
   "batch_fingerprint": "9833e3f200900a22c0b94a1f3a88b7642c1e12d1ac244e4212c581e1e586bd43",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000890-0000-c65357e148b19db6.parquet",
-      "sha256": "c65357e148b19db6c64660103aa887f712a369843816d9659eb62869f3c4f6bd",
-      "bytes": 105158,
-      "rows": 22,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000890-0000-41972ed4e3716594.parquet",
-      "sha256": "41972ed4e3716594ac7e68366c15e48ee7f67778473eebc0da3d048f732af6a7",
-      "bytes": 33538,
-      "rows": 1,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000890-0000-42bdb646d63c7326.parquet",
-      "sha256": "42bdb646d63c7326d5de59f5b17a5e12e510965cbc78c940c541a163eec06489",
-      "bytes": 51973,
-      "rows": 3,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52046",
     "goedel_workbook:lean_workbook_plus_52048",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022272.lean\",\"942df98a18102baf83fc5d4fa98fdf38ada570ad1e51d2795172c11728346e54\",0,\"lean_workbook_plus_52164\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022273.lean\",\"53faaf127129986ac28dc3562321ff0aebc47a55c1b5eed1286b47d6fef3f973\",0,\"lean_workbook_plus_52175\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022274.lean\",\"0d90f1fd00e5fff2adf27f0c793b02e611ce3439730580c368568a986f385e71\",0,\"lean_workbook_plus_52181\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105158,
+      "path": "data/train/pa8/goedel_workbook-000890-0000-c65357e148b19db6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c65357e148b19db6c64660103aa887f712a369843816d9659eb62869f3c4f6bd"
+    },
+    {
+      "bytes": 33538,
+      "path": "data/dev/pa8/goedel_workbook-000890-0000-41972ed4e3716594.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "41972ed4e3716594ac7e68366c15e48ee7f67778473eebc0da3d048f732af6a7"
+    },
+    {
+      "bytes": 51973,
+      "path": "data/internal_test/pa8/goedel_workbook-000890-0000-42bdb646d63c7326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "42bdb646d63c7326d5de59f5b17a5e12e510965cbc78c940c541a163eec06489"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000891.json b/manifests/batches/goedel_workbook/000891.json
index 6c263ce9121f3089566e5a12b8d8d3cdcc284f66..df7dd263d27638d7d146cc666554bd67bd1a147e 100644
--- a/manifests/batches/goedel_workbook/000891.json
+++ b/manifests/batches/goedel_workbook/000891.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000891",
   "batch_fingerprint": "6f4d55cb7151de1470313644c1981aff94eaa3a002c0dda15ac4e4ab804fe92a",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000891-0000-f7608a365d938fda.parquet",
-      "sha256": "f7608a365d938fda81d22b679afa47bd8a273b52fe4ef66a5b84b578c4121947",
-      "bytes": 203280,
-      "rows": 46,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000891-0000-7042f54546c952f5.parquet",
-      "sha256": "7042f54546c952f5bfc78439d17ad1deefb48cf952cf739ba073a9a3f6a080d6",
-      "bytes": 34742,
-      "rows": 3,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000891-0000-f02a253beabf4c57.parquet",
-      "sha256": "f02a253beabf4c57b815bc393682008409da910e74a4fb69ce9af7c5678ee526",
-      "bytes": 178981,
-      "rows": 42,
-      "revision": "31f54e842ef091e99583773dd545e15fe9685b8e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52193",
     "goedel_workbook:lean_workbook_plus_522",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022297.lean\",\"23bce592b86c4148406b7150ad2f4fa845c5b847f629fb3008573fe4a01a5a22\",0,\"lean_workbook_plus_52296\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022298.lean\",\"7b8a2f0dc22499b10db54c95e0b791d4ccabe21ed78c59e6b1cfc8aa2f5a4742\",0,\"lean_workbook_plus_52299\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022299.lean\",\"0686074eac545d3880e136f9bc44581dba3d32c93f56d13988843c54ff619f38\",0,\"lean_workbook_plus_523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203280,
+      "path": "data/train/p1d/goedel_workbook-000891-0000-f7608a365d938fda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "f7608a365d938fda81d22b679afa47bd8a273b52fe4ef66a5b84b578c4121947"
+    },
+    {
+      "bytes": 34742,
+      "path": "data/dev/p1d/goedel_workbook-000891-0000-7042f54546c952f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7042f54546c952f5bfc78439d17ad1deefb48cf952cf739ba073a9a3f6a080d6"
+    },
+    {
+      "bytes": 178981,
+      "path": "data/internal_test/p1d/goedel_workbook-000891-0000-f02a253beabf4c57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "f02a253beabf4c57b815bc393682008409da910e74a4fb69ce9af7c5678ee526"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000892.json b/manifests/batches/goedel_workbook/000892.json
index 05b278a0923b952722d7d8da9412c2b05bf69678..5500f8598ee7dba431986f2623b73afd57a87565 100644
--- a/manifests/batches/goedel_workbook/000892.json
+++ b/manifests/batches/goedel_workbook/000892.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000892",
   "batch_fingerprint": "628980c1e76927fab08ad72d86c9f64dad532206fb373f09ffecb0974f61b8ea",
   "evidence": {
@@ -110,22 +109,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000892-0000-7fc6b790c3d8b721.parquet",
-      "sha256": "7fc6b790c3d8b7212121bf676186ddd89d1f59c4fae9433961410ae0fd638f59",
-      "bytes": 198222,
-      "rows": 43,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000892-0000-20deb168b4b933f2.parquet",
-      "sha256": "20deb168b4b933f22b486475546fd0d5e2205e78a98b0eb61c9552f64001fd2d",
-      "bytes": 46431,
-      "rows": 8,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52304",
     "goedel_workbook:lean_workbook_plus_52307",
@@ -169,5 +153,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022321.lean\",\"cd27c9857668b86f27e239c7b9ac9b524b26cb96d5950ae02a13b0cf53554d55\",0,\"lean_workbook_plus_52387\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022322.lean\",\"827b9929a96a61eb82ce428dc9061f14443dae0e6a3a6b416810e51ba9c58670\",0,\"lean_workbook_plus_52390\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022323.lean\",\"f03d0e44ac6f6c5a6f081d41dbd01dd7842e0521161c4608948b6509a0ed9faf\",0,\"lean_workbook_plus_52393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198222,
+      "path": "data/train/p35/goedel_workbook-000892-0000-7fc6b790c3d8b721.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7fc6b790c3d8b7212121bf676186ddd89d1f59c4fae9433961410ae0fd638f59"
+    },
+    {
+      "bytes": 46431,
+      "path": "data/internal_test/p35/goedel_workbook-000892-0000-20deb168b4b933f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "20deb168b4b933f22b486475546fd0d5e2205e78a98b0eb61c9552f64001fd2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000893.json b/manifests/batches/goedel_workbook/000893.json
index 45d7f3a6dfbb1e4506559a1578432008969a31c7..c54f82a782d39326c1d93b4ccbd7562d893742a1 100644
--- a/manifests/batches/goedel_workbook/000893.json
+++ b/manifests/batches/goedel_workbook/000893.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000893",
   "batch_fingerprint": "aebf372ef0b808b250fd6dcb4e5fe7ec3e763ae825f020998c61bab2226a22ca",
   "evidence": {
@@ -307,29 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000893-0000-1b3467250be7d224.parquet",
-      "sha256": "1b3467250be7d224a8045a33333fb7a5bae0b8577d6dc4c4f2ea2373c94749db",
-      "bytes": 75989,
-      "rows": 15,
-      "revision": "cf644d556f4b39fbb9f5dee1ac520a9df030d37e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000893-0000-525dbc06d07fbd0c.parquet",
-      "sha256": "525dbc06d07fbd0c284c41d1f64de246e18a26a90adc6e9c78d77f428a61662b",
-      "bytes": 39460,
-      "rows": 1,
-      "revision": "cf644d556f4b39fbb9f5dee1ac520a9df030d37e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000893-0000-b49be7898058c1c1.parquet",
-      "sha256": "b49be7898058c1c12850e4da22da503f3b89009f9662e0a619180a3cc5b29ae6",
-      "bytes": 41407,
-      "rows": 3,
-      "revision": "cf644d556f4b39fbb9f5dee1ac520a9df030d37e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52395",
     "goedel_workbook:lean_workbook_plus_52403",
@@ -351,5 +328,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022347.lean\",\"9d476696be2c79ae6601a7c0423f5e8e92a3d6a6da47457a9d4b141ac801592e\",0,\"lean_workbook_plus_52484\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022348.lean\",\"e7d5e92081a5c0911b6a9179aac654cbf0d102c06f23ac01243bffdb147040f1\",0,\"lean_workbook_plus_52488\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022349.lean\",\"50dba9d98f5d18e00cd857ca9fa60ecc90db51abfb5eeeb372aa2098498c8e5c\",0,\"lean_workbook_plus_525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75989,
+      "path": "data/train/p20/goedel_workbook-000893-0000-1b3467250be7d224.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1b3467250be7d224a8045a33333fb7a5bae0b8577d6dc4c4f2ea2373c94749db"
+    },
+    {
+      "bytes": 39460,
+      "path": "data/dev/p20/goedel_workbook-000893-0000-525dbc06d07fbd0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "525dbc06d07fbd0c284c41d1f64de246e18a26a90adc6e9c78d77f428a61662b"
+    },
+    {
+      "bytes": 41407,
+      "path": "data/internal_test/p20/goedel_workbook-000893-0000-b49be7898058c1c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b49be7898058c1c12850e4da22da503f3b89009f9662e0a619180a3cc5b29ae6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000894.json b/manifests/batches/goedel_workbook/000894.json
index a524de857f8d2f05c245b26538447add97b17911..210ee5e0062e1f569804469ddb65cafcf6e48d52 100644
--- a/manifests/batches/goedel_workbook/000894.json
+++ b/manifests/batches/goedel_workbook/000894.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000894",
   "batch_fingerprint": "ec22541a6adb6456ec2c4e982aedb4645edaf6ded084ba6157449d115983e1f2",
   "evidence": {
@@ -190,15 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000894-0000-7d4409528b9e67f6.parquet",
-      "sha256": "7d4409528b9e67f60dd87b95327cb37efb9fb23872725e00cc5eb682dc55b19a",
-      "bytes": 152449,
-      "rows": 39,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_5250",
     "goedel_workbook:lean_workbook_plus_52505",
@@ -234,5 +225,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022369.lean\",\"17de4c7914d7cc2b27dc719d34b526dab40f12caae762f4d9204955b261bf810\",0,\"lean_workbook_plus_52573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022372.lean\",\"0917dd9329d5e19ad3dace4eba647f4cd9ee42dc2733ec740be96a80bafeede5\",0,\"lean_workbook_plus_52585\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022373.lean\",\"2333f373b5f2f6c52d1ff50fef915326981af9804333034a917f1c727151955d\",0,\"lean_workbook_plus_52587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152449,
+      "path": "data/train/p70/goedel_workbook-000894-0000-7d4409528b9e67f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7d4409528b9e67f60dd87b95327cb37efb9fb23872725e00cc5eb682dc55b19a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000895.json b/manifests/batches/goedel_workbook/000895.json
index 315d808e8797f38330c6751688c683fca4f4f88e..7016fdd8f981b5f73f09f794a530b15233f7ae3c 100644
--- a/manifests/batches/goedel_workbook/000895.json
+++ b/manifests/batches/goedel_workbook/000895.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000895",
   "batch_fingerprint": "05922410fb16020392a2c7ac01ac33c897d30f59d57be0daf73e7bf9f2b33c13",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000895-0000-68924fb564a7535f.parquet",
-      "sha256": "68924fb564a7535f4de277490ef8ff7b43676bcf058dbe2817fbf880b785c1ad",
-      "bytes": 162284,
-      "rows": 45,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000895-0000-d1222925abc2f44b.parquet",
-      "sha256": "d1222925abc2f44b67222c9f0e15b3d2ecc9bd03e3ebe026e9a999b6b0287cf9",
-      "bytes": 32595,
-      "rows": 1,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000895-0000-0ecbc519267c1b8a.parquet",
-      "sha256": "0ecbc519267c1b8a192929af3a0c1dd4695fc5c6a01e8cab35a7d8b3fee9c0a2",
-      "bytes": 42371,
-      "rows": 5,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_5259",
     "goedel_workbook:lean_workbook_plus_52594",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022395.lean\",\"d995a4d37a72f7205d2d8a89e331a08cf66bc83a7565e009431d531ebd5dd6b3\",0,\"lean_workbook_plus_52699\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022396.lean\",\"4c9a62fdf13847542728a90fa4d21ab9453fa1f4234be31ca2d3f4dbd7493c3f\",0,\"lean_workbook_plus_52700\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022399.lean\",\"411e0b1a6b2d501ad0014a40d300bedf8cc8351271b06c52f027e14aeced927e\",0,\"lean_workbook_plus_52717\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162284,
+      "path": "data/train/p22/goedel_workbook-000895-0000-68924fb564a7535f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "68924fb564a7535f4de277490ef8ff7b43676bcf058dbe2817fbf880b785c1ad"
+    },
+    {
+      "bytes": 32595,
+      "path": "data/dev/p22/goedel_workbook-000895-0000-d1222925abc2f44b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d1222925abc2f44b67222c9f0e15b3d2ecc9bd03e3ebe026e9a999b6b0287cf9"
+    },
+    {
+      "bytes": 42371,
+      "path": "data/internal_test/p22/goedel_workbook-000895-0000-0ecbc519267c1b8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0ecbc519267c1b8a192929af3a0c1dd4695fc5c6a01e8cab35a7d8b3fee9c0a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000896.json b/manifests/batches/goedel_workbook/000896.json
index a513e40996a6d3c3c961d216bdf30b5e97319d98..05c842a78cd4493dd7311ae35db14cfb54860dc2 100644
--- a/manifests/batches/goedel_workbook/000896.json
+++ b/manifests/batches/goedel_workbook/000896.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000896",
   "batch_fingerprint": "239ec611988eafbdb915be101b269ff06d9e91fd3031cefe004c0280f91c8d88",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000896-0000-f2aeb4316e7af7b8.parquet",
-      "sha256": "f2aeb4316e7af7b80f1b32beceee6251bd4d83136fd51604fdf59b0459bab9b3",
-      "bytes": 228394,
-      "rows": 49,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000896-0000-301bd091af6e05e4.parquet",
-      "sha256": "301bd091af6e05e415eca0d2d03d22a7d6f94aaf91eec96dc29b9df3a3b79f6d",
-      "bytes": 28177,
-      "rows": 2,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000896-0000-1ae3179966da6f1c.parquet",
-      "sha256": "1ae3179966da6f1cb74d5c2c6995ed5f0e131254df941ca502a5bc8b12bcb476",
-      "bytes": 30675,
-      "rows": 2,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52720",
     "goedel_workbook:lean_workbook_plus_52734",
@@ -232,5 +209,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022421.lean\",\"c1224e57e89fc142be7f62660ec3053fd6046927463db8c97aeb03cb18597b98\",0,\"lean_workbook_plus_52840\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022422.lean\",\"538bdd629c62e7627e2bff4008901af23038e3b9b9b897bfd32f1d33a64fa643\",0,\"lean_workbook_plus_52853\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022424.lean\",\"c78f803a833283fd1cbf938b711b0077f5bf6bf77738f4363688d66fa8ec504a\",0,\"lean_workbook_plus_52857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228394,
+      "path": "data/train/pb7/goedel_workbook-000896-0000-f2aeb4316e7af7b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "f2aeb4316e7af7b80f1b32beceee6251bd4d83136fd51604fdf59b0459bab9b3"
+    },
+    {
+      "bytes": 28177,
+      "path": "data/dev/pb7/goedel_workbook-000896-0000-301bd091af6e05e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "301bd091af6e05e415eca0d2d03d22a7d6f94aaf91eec96dc29b9df3a3b79f6d"
+    },
+    {
+      "bytes": 30675,
+      "path": "data/internal_test/pb7/goedel_workbook-000896-0000-1ae3179966da6f1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1ae3179966da6f1cb74d5c2c6995ed5f0e131254df941ca502a5bc8b12bcb476"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000897.json b/manifests/batches/goedel_workbook/000897.json
index cb1c32e37dd0e9e543a727c1b7a4ac723e1db138..cd5c49c677c560491e537fb649bcb0b39c6e3bab 100644
--- a/manifests/batches/goedel_workbook/000897.json
+++ b/manifests/batches/goedel_workbook/000897.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000897",
   "batch_fingerprint": "4072ce54b14e17b663457ffb39f104cd7be1170d3abb076aa7ce680dab48175d",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000897-0000-be7063c1c4410d37.parquet",
-      "sha256": "be7063c1c4410d374db931b9da2b0968b8eae941e6cdfc56f2963baced29886f",
-      "bytes": 182053,
-      "rows": 40,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000897-0000-4fa1a5ebedf9e04d.parquet",
-      "sha256": "4fa1a5ebedf9e04d6474484d53fcb4787542b68156163f903d4f7b102b99a018",
-      "bytes": 30798,
-      "rows": 1,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52862",
     "goedel_workbook:lean_workbook_plus_52872",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022447.lean\",\"232e0675fdb18e1e2a64cafdbf1aaa168ccf10f54166edb85b66e3e886a07028\",0,\"lean_workbook_plus_52930\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022448.lean\",\"d005452380a81aefb8e19ddd539df6cf7a29b881e3e26fd967c8d27f787b294d\",0,\"lean_workbook_plus_52931\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022449.lean\",\"185b2daef0914780a18262872d330315eb0d306467a735d97623c604de750e94\",0,\"lean_workbook_plus_5294\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182053,
+      "path": "data/train/p28/goedel_workbook-000897-0000-be7063c1c4410d37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "be7063c1c4410d374db931b9da2b0968b8eae941e6cdfc56f2963baced29886f"
+    },
+    {
+      "bytes": 30798,
+      "path": "data/internal_test/p28/goedel_workbook-000897-0000-4fa1a5ebedf9e04d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4fa1a5ebedf9e04d6474484d53fcb4787542b68156163f903d4f7b102b99a018"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000898.json b/manifests/batches/goedel_workbook/000898.json
index d6a54171e0ca663c413398ab338520b7d18179b2..0069a4b759df550e8b67286945da848d2fde19d8 100644
--- a/manifests/batches/goedel_workbook/000898.json
+++ b/manifests/batches/goedel_workbook/000898.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000898",
   "batch_fingerprint": "d7d0ffb07aa81d75dbe4a9ab276d4fbb2645eb06fbbd635091257434af58ee78",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000898-0000-8c86a2ac219d858c.parquet",
-      "sha256": "8c86a2ac219d858c9146e8e6a3476259af4f0c61f8e592db51e103a7cf43d1aa",
-      "bytes": 187640,
-      "rows": 43,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000898-0000-38a317ccefe76739.parquet",
-      "sha256": "38a317ccefe7673990369fdc51fbd4ad8f56825fceb41ca05b4dabc55b034a63",
-      "bytes": 33010,
-      "rows": 2,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_52954",
     "goedel_workbook:lean_workbook_plus_52965",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022472.lean\",\"6f8d0bb27d7e7ddf1d4d625645d9be3b080f9b974db90fe7aca40c1df7f7f0dc\",0,\"lean_workbook_plus_53040\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022473.lean\",\"72dce8fb9e576ae6fe29a246e8d3b5bd3ea26aa81febc51f9d7ad31e377ceb63\",0,\"lean_workbook_plus_53042\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022474.lean\",\"727416ee43ad6e9b35f4508505202240dac8b4c61d12be0b655559ca84db2d1f\",0,\"lean_workbook_plus_5305\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187640,
+      "path": "data/train/p3d/goedel_workbook-000898-0000-8c86a2ac219d858c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "8c86a2ac219d858c9146e8e6a3476259af4f0c61f8e592db51e103a7cf43d1aa"
+    },
+    {
+      "bytes": 33010,
+      "path": "data/internal_test/p3d/goedel_workbook-000898-0000-38a317ccefe76739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "38a317ccefe7673990369fdc51fbd4ad8f56825fceb41ca05b4dabc55b034a63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000899.json b/manifests/batches/goedel_workbook/000899.json
index 868f93a66d62f9b4becc410ae363cf34a50e69ba..8e9ab4769b77744f71209b2d50c89726f2a32a68 100644
--- a/manifests/batches/goedel_workbook/000899.json
+++ b/manifests/batches/goedel_workbook/000899.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000899",
   "batch_fingerprint": "22c63a27e02358ba2cccbb2669eb753bdb9e194711944c3cd676ac00eeac7291",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000899-0000-41a514f4d40c1820.parquet",
-      "sha256": "41a514f4d40c1820c48669c9fc0cea4384867a927aa329d9cc96fd708a3e6c03",
-      "bytes": 102013,
-      "rows": 29,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000899-0000-c21b41ea2571b155.parquet",
-      "sha256": "c21b41ea2571b155cdb1bbb289b96ca9bca7ea097d61cb184102027c25e4923b",
-      "bytes": 73838,
-      "rows": 13,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000899-0000-c1ef77d790193d68.parquet",
-      "sha256": "c1ef77d790193d6800d8d9ffe2696a5d2e8e168521ffe84e04719647c73f681e",
-      "bytes": 34241,
-      "rows": 3,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53058",
     "goedel_workbook:lean_workbook_plus_5306",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022495.lean\",\"5355d022a2386b1457cf5c09ee385ee6f69709ef18f18d23360b0bcdb3898ef2\",0,\"lean_workbook_plus_53129\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022497.lean\",\"54d85d0eeb87e5851385b0d8e6b74b62ff91792b13300019459998ded321db29\",0,\"lean_workbook_plus_53137\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022499.lean\",\"dfc315d39c8aa362a9df3d28772237ae4d63c661eeab207da3a9483e2906eff5\",0,\"lean_workbook_plus_5314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102013,
+      "path": "data/train/p44/goedel_workbook-000899-0000-41a514f4d40c1820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "41a514f4d40c1820c48669c9fc0cea4384867a927aa329d9cc96fd708a3e6c03"
+    },
+    {
+      "bytes": 73838,
+      "path": "data/dev/p44/goedel_workbook-000899-0000-c21b41ea2571b155.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c21b41ea2571b155cdb1bbb289b96ca9bca7ea097d61cb184102027c25e4923b"
+    },
+    {
+      "bytes": 34241,
+      "path": "data/internal_test/p44/goedel_workbook-000899-0000-c1ef77d790193d68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c1ef77d790193d6800d8d9ffe2696a5d2e8e168521ffe84e04719647c73f681e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000900.json b/manifests/batches/goedel_workbook/000900.json
index f6e86665404196e297644fc6db232e49ee72622e..05dbba0e6ff21ac1ec512015d700548eb62954ab 100644
--- a/manifests/batches/goedel_workbook/000900.json
+++ b/manifests/batches/goedel_workbook/000900.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000900",
   "batch_fingerprint": "50f5dd312dd0b41eacb643d95a69e532ee4939c35b846b16018b90c06909d99e",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000900-0000-cc7136893e22718d.parquet",
-      "sha256": "cc7136893e22718de3829e026ec3f8d30f9ebcc9e12b29e5da22fc308963af53",
-      "bytes": 228380,
-      "rows": 46,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000900-0000-4343b055eeac693f.parquet",
-      "sha256": "4343b055eeac693f57289c6de435fa511d3eef6726908e6ea9e373060ba1868c",
-      "bytes": 41005,
-      "rows": 5,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53143",
     "goedel_workbook:lean_workbook_plus_53160",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022521.lean\",\"99d02cdffa400918bbf37e1030e6d090c95393cda7d1bba264c341183254cccf\",0,\"lean_workbook_plus_53231\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022522.lean\",\"91d4f4af43945dd2c2b390fbd0cf0086fb3d596057e10f577c8c40e918c3ce45\",0,\"lean_workbook_plus_53233\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022523.lean\",\"fac025e82c5ec79f5e6d0725fab456cfec313c3dfb0c122cb315ad7a195e55a2\",0,\"lean_workbook_plus_53242\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228380,
+      "path": "data/train/pbd/goedel_workbook-000900-0000-cc7136893e22718d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "cc7136893e22718de3829e026ec3f8d30f9ebcc9e12b29e5da22fc308963af53"
+    },
+    {
+      "bytes": 41005,
+      "path": "data/internal_test/pbd/goedel_workbook-000900-0000-4343b055eeac693f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4343b055eeac693f57289c6de435fa511d3eef6726908e6ea9e373060ba1868c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000901.json b/manifests/batches/goedel_workbook/000901.json
index 6fd70fd13ba595659f3cd486f41cf0c261c59aa5..e83d745a861fbec1f407f3060a7011c616cdfffd 100644
--- a/manifests/batches/goedel_workbook/000901.json
+++ b/manifests/batches/goedel_workbook/000901.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000901",
   "batch_fingerprint": "01fa0eae0b2c02c96e3595c7093fa301d02e4dd5427f78de8895b505e703629c",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000901-0000-f9ddfb999458fdc5.parquet",
-      "sha256": "f9ddfb999458fdc5b1812bb1639c83072930388e93b672ecf9174415b3f21aa7",
-      "bytes": 253266,
-      "rows": 57,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000901-0000-eb6155c085a50b40.parquet",
-      "sha256": "eb6155c085a50b401b13aa3cba852053016882e827d6569e0b22e09c10f21ffc",
-      "bytes": 44796,
-      "rows": 5,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53259",
     "goedel_workbook:lean_workbook_plus_53263",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022545.lean\",\"4173e43135b5bbbd9886d8b9f9b2037956e3456792eb649de91091eeb5bbb0cb\",0,\"lean_workbook_plus_53354\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022548.lean\",\"2928d27e14fe80ed19f5ce151fe0fb8605cb38be0b940261d4dad3c0d25abbf4\",0,\"lean_workbook_plus_53365\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022549.lean\",\"38ea2753319c1b539dbb939767182bd7dedf7d39552765f6d605351b8b139b73\",0,\"lean_workbook_plus_53370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253266,
+      "path": "data/train/p5f/goedel_workbook-000901-0000-f9ddfb999458fdc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "f9ddfb999458fdc5b1812bb1639c83072930388e93b672ecf9174415b3f21aa7"
+    },
+    {
+      "bytes": 44796,
+      "path": "data/internal_test/p5f/goedel_workbook-000901-0000-eb6155c085a50b40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "eb6155c085a50b401b13aa3cba852053016882e827d6569e0b22e09c10f21ffc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000902.json b/manifests/batches/goedel_workbook/000902.json
index 957bd8776968b0d464df7aa83c1839d43525d55d..93f53e97d2d91a779372e434e5611c2262eec809 100644
--- a/manifests/batches/goedel_workbook/000902.json
+++ b/manifests/batches/goedel_workbook/000902.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000902",
   "batch_fingerprint": "8d60ab497bf0d16fa875c5906e1ade4c9d845d23e91c5167b6fa050cf1692aec",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000902-0000-5aed9fc2b43146b6.parquet",
-      "sha256": "5aed9fc2b43146b6d5558275fb3435fda2c43d0fdf27bfb6c6bbe6c9c89d8d5e",
-      "bytes": 129896,
-      "rows": 29,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000902-0000-aecb42a58257a0cf.parquet",
-      "sha256": "aecb42a58257a0cf9d4b6a81097af9c1e777b9a0e4e222ceee769ab00aaa734f",
-      "bytes": 40124,
-      "rows": 2,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000902-0000-1227868cd97fdccf.parquet",
-      "sha256": "1227868cd97fdccf6d52975b2720cdd10cf52d8d9a0c8e60f888dcae21197ba0",
-      "bytes": 52365,
-      "rows": 7,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53371",
     "goedel_workbook:lean_workbook_plus_53373",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022572.lean\",\"5963863d0fd2d85931f632e8866b1fff1d5ac20eb2431e11beb2c89052b1177b\",0,\"lean_workbook_plus_53473\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022573.lean\",\"6afb4233a1a3c67186098be58e5a8b1d0a61ca9b6c93349ea7deb68e1ef77b27\",0,\"lean_workbook_plus_53474\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022574.lean\",\"41ada69eeb1bea81e09ef0ddba25cd75c6d397900b284ce12789680bdf50fb52\",0,\"lean_workbook_plus_53483\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129896,
+      "path": "data/train/pc6/goedel_workbook-000902-0000-5aed9fc2b43146b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "5aed9fc2b43146b6d5558275fb3435fda2c43d0fdf27bfb6c6bbe6c9c89d8d5e"
+    },
+    {
+      "bytes": 40124,
+      "path": "data/dev/pc6/goedel_workbook-000902-0000-aecb42a58257a0cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aecb42a58257a0cf9d4b6a81097af9c1e777b9a0e4e222ceee769ab00aaa734f"
+    },
+    {
+      "bytes": 52365,
+      "path": "data/internal_test/pc6/goedel_workbook-000902-0000-1227868cd97fdccf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1227868cd97fdccf6d52975b2720cdd10cf52d8d9a0c8e60f888dcae21197ba0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000903.json b/manifests/batches/goedel_workbook/000903.json
index c6ff5f4eb7e17d509be9e2aa7e10afa21b6251a7..da32204d6863c296e7241a7911fc1be1d515eeea 100644
--- a/manifests/batches/goedel_workbook/000903.json
+++ b/manifests/batches/goedel_workbook/000903.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000903",
   "batch_fingerprint": "3f5b958b0851c26dc5c1b2812331bd7fc1b5341941002ccfd97f5211b23b31c9",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000903-0000-98daa6ab9743e8c4.parquet",
-      "sha256": "98daa6ab9743e8c402f2a433332670c1e7354db8876e8ab057ad162942d963db",
-      "bytes": 89702,
-      "rows": 25,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000903-0000-5350d8ec7bbabe4d.parquet",
-      "sha256": "5350d8ec7bbabe4d6de4dc24e7b34f8e7700de2e02e1fcbc40b73229d29c06b2",
-      "bytes": 37846,
-      "rows": 2,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000903-0000-69e03209489dfadd.parquet",
-      "sha256": "69e03209489dfadd351e3b08d485b233421f5ccf409b9c568f7909029cbfe623",
-      "bytes": 59764,
-      "rows": 12,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53487",
     "goedel_workbook:lean_workbook_plus_53488",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022592.lean\",\"0744e29ca3569ef6823c3b4ca06faf3729bd45bf9944bb37811e31f08006fe25\",0,\"lean_workbook_plus_53584\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022597.lean\",\"1ac8d8a8fae0ba64b240b074379d2742e881f5f5154a02c7519a43b79403f4b6\",0,\"lean_workbook_plus_53610\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022599.lean\",\"de25e63f52a2d23c6682ac31c09ffa07de69df98247abc67aa85c24ccdd1e494\",0,\"lean_workbook_plus_53613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89702,
+      "path": "data/train/p7c/goedel_workbook-000903-0000-98daa6ab9743e8c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "98daa6ab9743e8c402f2a433332670c1e7354db8876e8ab057ad162942d963db"
+    },
+    {
+      "bytes": 37846,
+      "path": "data/dev/p7c/goedel_workbook-000903-0000-5350d8ec7bbabe4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5350d8ec7bbabe4d6de4dc24e7b34f8e7700de2e02e1fcbc40b73229d29c06b2"
+    },
+    {
+      "bytes": 59764,
+      "path": "data/internal_test/p7c/goedel_workbook-000903-0000-69e03209489dfadd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "69e03209489dfadd351e3b08d485b233421f5ccf409b9c568f7909029cbfe623"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000904.json b/manifests/batches/goedel_workbook/000904.json
index df0b9b9041da291ca97f72fe82115fd8736945c5..f5d78bfb13ec76d71ca6361d74c6fc425182a2d7 100644
--- a/manifests/batches/goedel_workbook/000904.json
+++ b/manifests/batches/goedel_workbook/000904.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000904",
   "batch_fingerprint": "9d4bfb546fd97eea98f703ab243ac587d224b7ba21d065ac95b32c23ef53a875",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000904-0000-9b7592331dcdc8e8.parquet",
-      "sha256": "9b7592331dcdc8e8f45519080e0d0657a96f7aa21696e17bbcdfc396932bfbfe",
-      "bytes": 81309,
-      "rows": 20,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000904-0000-a2f9d43afad999fa.parquet",
-      "sha256": "a2f9d43afad999fa649f4dcabcaff424c88f84fbec1b94438ab6159bfa8196a8",
-      "bytes": 37929,
-      "rows": 2,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000904-0000-138c741740c1f9a0.parquet",
-      "sha256": "138c741740c1f9a0e2bd89b353e1f5dcbcfe135c114f518b95c462a63fe3478d",
-      "bytes": 44101,
-      "rows": 7,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53618",
     "goedel_workbook:lean_workbook_plus_53631",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022622.lean\",\"03950bf1ae5de066bdced52beb74d469e532ec6822261f9b4421748f6c284b0e\",0,\"lean_workbook_plus_5373\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022623.lean\",\"8380cf95cde3786a4773f99fb8631a467e538b322185346dfd3318b1f1608cc1\",0,\"lean_workbook_plus_53730\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022624.lean\",\"af7acb751d52ce52b08e674bdd6f527ba3f4f8f65fd34f4690592c5e00253935\",0,\"lean_workbook_plus_53734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81309,
+      "path": "data/train/pb6/goedel_workbook-000904-0000-9b7592331dcdc8e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9b7592331dcdc8e8f45519080e0d0657a96f7aa21696e17bbcdfc396932bfbfe"
+    },
+    {
+      "bytes": 37929,
+      "path": "data/dev/pb6/goedel_workbook-000904-0000-a2f9d43afad999fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a2f9d43afad999fa649f4dcabcaff424c88f84fbec1b94438ab6159bfa8196a8"
+    },
+    {
+      "bytes": 44101,
+      "path": "data/internal_test/pb6/goedel_workbook-000904-0000-138c741740c1f9a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "138c741740c1f9a0e2bd89b353e1f5dcbcfe135c114f518b95c462a63fe3478d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000905.json b/manifests/batches/goedel_workbook/000905.json
index 630405b3c5e2d3cb1664eb0a548979d9b38e4b20..16b00112dfb3a2e62bf5e89000bdde17272763a4 100644
--- a/manifests/batches/goedel_workbook/000905.json
+++ b/manifests/batches/goedel_workbook/000905.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000905",
   "batch_fingerprint": "1d55100a567de72359e42bc05e63c4b46a78cb261ecde37001133643239be7c7",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000905-0000-d6213bceea7554f5.parquet",
-      "sha256": "d6213bceea7554f507ef48e1441f2cc39df2c41f333b673ffd5b03be985f4f2c",
-      "bytes": 114340,
-      "rows": 31,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000905-0000-d4348e8c841d820e.parquet",
-      "sha256": "d4348e8c841d820eb0ead5fb18fbcffc311c133c7126e644ce92315e1d14f862",
-      "bytes": 51415,
-      "rows": 13,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53745",
     "goedel_workbook:lean_workbook_plus_53749",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022647.lean\",\"9011a149508b96619cfe5669de490daf51e32193b98bdd89602426b37398a9d9\",0,\"lean_workbook_plus_53862\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022648.lean\",\"c106912f5786fdf1a6c73b72afc312f1e59ed6ab6a5d290e0390567aa0212bc2\",0,\"lean_workbook_plus_53871\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022649.lean\",\"e467e56d3271a8639a6bdd7061e9b81d3372b549eb5d26b35b7dbf8351d0bf5d\",0,\"lean_workbook_plus_53876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114340,
+      "path": "data/train/p03/goedel_workbook-000905-0000-d6213bceea7554f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d6213bceea7554f507ef48e1441f2cc39df2c41f333b673ffd5b03be985f4f2c"
+    },
+    {
+      "bytes": 51415,
+      "path": "data/internal_test/p03/goedel_workbook-000905-0000-d4348e8c841d820e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d4348e8c841d820eb0ead5fb18fbcffc311c133c7126e644ce92315e1d14f862"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000906.json b/manifests/batches/goedel_workbook/000906.json
index 401ce914791c078a011c2cb3d241d337014006a8..a729b25b1502a71adda6b23ebaac975b40c08315 100644
--- a/manifests/batches/goedel_workbook/000906.json
+++ b/manifests/batches/goedel_workbook/000906.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000906",
   "batch_fingerprint": "eacdf6a8f020978a422416a1d0867658b1ab9ed449774af9410ef136784d28fc",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000906-0000-bf524553b39a5e40.parquet",
-      "sha256": "bf524553b39a5e4048d4a66f71c1ea43ba6f579992b8a57af36fab9b0d0363cc",
-      "bytes": 161119,
-      "rows": 37,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53877",
     "goedel_workbook:lean_workbook_plus_53882",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022670.lean\",\"77e5540dc3281dbe7cd9a83c484e7fad6364b02c09ee6f8ab462d87ed1f020ab\",0,\"lean_workbook_plus_53946\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022671.lean\",\"29fd4babaa85534731246989e224cab420d24d17069ab25401998f02d161e98b\",0,\"lean_workbook_plus_5395\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022673.lean\",\"b6d187d89eb8ae69e556c7654cff6a9001f159fad88379f7f2ad1414508fd351\",0,\"lean_workbook_plus_53959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161119,
+      "path": "data/train/p69/goedel_workbook-000906-0000-bf524553b39a5e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "bf524553b39a5e4048d4a66f71c1ea43ba6f579992b8a57af36fab9b0d0363cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000907.json b/manifests/batches/goedel_workbook/000907.json
index 51569854046ec946376dec26697c80233a6651f9..e56800df4fb527c1de6334c7ce3b4eb01fc960c8 100644
--- a/manifests/batches/goedel_workbook/000907.json
+++ b/manifests/batches/goedel_workbook/000907.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000907",
   "batch_fingerprint": "774e6c06d5ca417958d06715f4bdc7d3848b9d739e22f6c3add6472c0b0dedad",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000907-0000-cbfa7a5a929f6793.parquet",
-      "sha256": "cbfa7a5a929f6793483f046aa383aa7bd212e7200dd751c58d1e21bb0dbcf38e",
-      "bytes": 195425,
-      "rows": 42,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000907-0000-3def300e29cd8260.parquet",
-      "sha256": "3def300e29cd8260a36c08f40a9f0ffbd1d71450c4f4577482b26b51b9535472",
-      "bytes": 34322,
-      "rows": 1,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_53963",
     "goedel_workbook:lean_workbook_plus_53964",
@@ -225,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022697.lean\",\"bfe375b0760beba1170c8a0d8d0f210999acbe612819acb5216b31a741531581\",0,\"lean_workbook_plus_54054\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022698.lean\",\"1fccb0fd80a9764479c0df97c2627d356c0b90e1699420601434303e78bd47e9\",0,\"lean_workbook_plus_54058\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022699.lean\",\"d719eb83275dfbb135cfada3319b32edc0a616f164bf89397bbc748218946027\",0,\"lean_workbook_plus_54064\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195425,
+      "path": "data/train/pa8/goedel_workbook-000907-0000-cbfa7a5a929f6793.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "cbfa7a5a929f6793483f046aa383aa7bd212e7200dd751c58d1e21bb0dbcf38e"
+    },
+    {
+      "bytes": 34322,
+      "path": "data/dev/pa8/goedel_workbook-000907-0000-3def300e29cd8260.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3def300e29cd8260a36c08f40a9f0ffbd1d71450c4f4577482b26b51b9535472"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000908.json b/manifests/batches/goedel_workbook/000908.json
index 0ba2bca95718e0b0b66d391b806edb532bdc3132..7782b14da3ad6a624d281949fdb9845ee1f05dbe 100644
--- a/manifests/batches/goedel_workbook/000908.json
+++ b/manifests/batches/goedel_workbook/000908.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000908",
   "batch_fingerprint": "c85defac5ad98ee35a461a6d3b85316cbf8c575a228bd4e25b3bee7d34146ced",
   "evidence": {
@@ -271,15 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000908-0000-931aa28eabf999f6.parquet",
-      "sha256": "931aa28eabf999f680ec85f541b3147a7bc0446f29e0793d9710b4f06acc31aa",
-      "bytes": 115228,
-      "rows": 29,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54081",
     "goedel_workbook:lean_workbook_plus_54100",
@@ -305,5 +296,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022721.lean\",\"048bb2adb075c39ff3c12b4bc0450c212c3c076c1d7ac9a2e8dec5c2693b03fd\",0,\"lean_workbook_plus_54193\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022723.lean\",\"df341a7263b85150b3e6c4b73cb6434b635d13bdabe7b9d5e2c11fc8c7a8b634\",0,\"lean_workbook_plus_54209\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022724.lean\",\"871da3fb4c1430247065e8666ff9018741550183da9e0b1e9588959d9e7886ad\",0,\"lean_workbook_plus_54215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115228,
+      "path": "data/train/p16/goedel_workbook-000908-0000-931aa28eabf999f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "931aa28eabf999f680ec85f541b3147a7bc0446f29e0793d9710b4f06acc31aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000909.json b/manifests/batches/goedel_workbook/000909.json
index 3336541198623d9cecf4ded0295d989aa1097c34..622f0455f344f1d24e06e2f583ec1355837dbbb3 100644
--- a/manifests/batches/goedel_workbook/000909.json
+++ b/manifests/batches/goedel_workbook/000909.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000909",
   "batch_fingerprint": "f53b1991b15e0c2e94100a2f7f4110ff4af4d3ffb72a2a0001d7d3fb3efd3c02",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000909-0000-ea54f85facc498a4.parquet",
-      "sha256": "ea54f85facc498a4d53d67be2a9f1c51acc1493889106b4a764a7d17fb895092",
-      "bytes": 178081,
-      "rows": 43,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000909-0000-e97660ca41c7eead.parquet",
-      "sha256": "e97660ca41c7eead10408e16231e01d785bfb3784b05b1963bc7528012d6de52",
-      "bytes": 41094,
-      "rows": 7,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54216",
     "goedel_workbook:lean_workbook_plus_54217",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022744.lean\",\"7e24b77595e18928f2fb89d6057747f25a4ab1033dbf3de1ed92dbef60c51585\",0,\"lean_workbook_plus_54271\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022748.lean\",\"b3d94dd4ee116307174db449646ba5577a69bade237ee2940f2b5dfad31c09ce\",0,\"lean_workbook_plus_54283\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022749.lean\",\"9d355fd327d0e36f893eb1368f8e30a8b26a52be9cb42133bab2096bf09273ef\",0,\"lean_workbook_plus_54292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178081,
+      "path": "data/train/p36/goedel_workbook-000909-0000-ea54f85facc498a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "ea54f85facc498a4d53d67be2a9f1c51acc1493889106b4a764a7d17fb895092"
+    },
+    {
+      "bytes": 41094,
+      "path": "data/dev/p36/goedel_workbook-000909-0000-e97660ca41c7eead.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e97660ca41c7eead10408e16231e01d785bfb3784b05b1963bc7528012d6de52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000910.json b/manifests/batches/goedel_workbook/000910.json
index 2dce1c59bd95c7917a95818c69aec7c51694bc60..49033f227b7c710f649124c91bc8e2f43ff303bb 100644
--- a/manifests/batches/goedel_workbook/000910.json
+++ b/manifests/batches/goedel_workbook/000910.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000910",
   "batch_fingerprint": "a0b3022131a1b22b982e9de94757d2d60dd31038a484f96e5669616fa5ba3611",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000910-0000-5ae98d6ab770c8c0.parquet",
-      "sha256": "5ae98d6ab770c8c0dae393e10dab5092c10dbc906506512474aa32a4c06a55e1",
-      "bytes": 158574,
-      "rows": 38,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000910-0000-87dfbfef231a789f.parquet",
-      "sha256": "87dfbfef231a789f04b36ae0ded93df9454f0c983909f322c6344a644a32cf53",
-      "bytes": 27738,
-      "rows": 1,
-      "revision": "d243b46cb3d3ee76a704c8c329fed9435e29dcec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54299",
     "goedel_workbook:lean_workbook_plus_54301",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022766.lean\",\"487d395039c6a004ffcab16abe4b83bb0eae5e49768962ddf7a4d7c4ee77ad93\",0,\"lean_workbook_plus_54346\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022769.lean\",\"72dfac648994c07c22adf8026395827351dc859369a609ce3b25c9b097eb3d69\",0,\"lean_workbook_plus_5437\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022770.lean\",\"3e0322b4a5d1c0d451a81672479af812e6ea651b5e734e2015f2369398b39d8a\",0,\"lean_workbook_plus_54371\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158574,
+      "path": "data/train/pad/goedel_workbook-000910-0000-5ae98d6ab770c8c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "5ae98d6ab770c8c0dae393e10dab5092c10dbc906506512474aa32a4c06a55e1"
+    },
+    {
+      "bytes": 27738,
+      "path": "data/internal_test/pad/goedel_workbook-000910-0000-87dfbfef231a789f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "87dfbfef231a789f04b36ae0ded93df9454f0c983909f322c6344a644a32cf53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000911.json b/manifests/batches/goedel_workbook/000911.json
index 705104d472cd4c4475c5ca7da9ab396d90143e3d..fb034ef7e81f4b404aa6d69efff79236ed07d611 100644
--- a/manifests/batches/goedel_workbook/000911.json
+++ b/manifests/batches/goedel_workbook/000911.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000911",
   "batch_fingerprint": "fe85077595054e1a6f0c788d5ed47982ce3ec1d27bd6e077c3276cfae048d7cf",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000911-0000-bf233f4e73898433.parquet",
-      "sha256": "bf233f4e738984333abd681343b88d0858bfcd630afdc536e773e32497c968a9",
-      "bytes": 255813,
-      "rows": 54,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000911-0000-1f9e7e31610a786f.parquet",
-      "sha256": "1f9e7e31610a786fe006e1d0fd4c0f8083dac4e7f228bdf46038095f4a47ef58",
-      "bytes": 46569,
-      "rows": 4,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54386",
     "goedel_workbook:lean_workbook_plus_54388",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022796.lean\",\"4f6d44b00faadf31240cecadf383a7d0609b1330dd851166568293fbe4aa5784\",0,\"lean_workbook_plus_54459\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022799.lean\",\"739aa45893a8f370fa90f6820b3e6711a944e925642b429cfd4a0fd15bf56095\",0,\"lean_workbook_plus_54488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255813,
+      "path": "data/train/p78/goedel_workbook-000911-0000-bf233f4e73898433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "bf233f4e738984333abd681343b88d0858bfcd630afdc536e773e32497c968a9"
+    },
+    {
+      "bytes": 46569,
+      "path": "data/internal_test/p78/goedel_workbook-000911-0000-1f9e7e31610a786f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1f9e7e31610a786fe006e1d0fd4c0f8083dac4e7f228bdf46038095f4a47ef58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000912.json b/manifests/batches/goedel_workbook/000912.json
index 3e8561e42e1149df8a551ebd2c3b019ddafa59ce..7ff1cce796b12afe8a61f11b58957306f7196951 100644
--- a/manifests/batches/goedel_workbook/000912.json
+++ b/manifests/batches/goedel_workbook/000912.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000912",
   "batch_fingerprint": "ae5f579c74f46598898123ffed2d15bedb6c54907902daf45e038acc3825e25f",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000912-0000-bcb92f0e0188f11f.parquet",
-      "sha256": "bcb92f0e0188f11f2b6d7be0fcb641d1acf7b5378b60514d1a4b29fcb74a9778",
-      "bytes": 208225,
-      "rows": 46,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000912-0000-5d3774393bc846c6.parquet",
-      "sha256": "5d3774393bc846c6157325f93ed623534e6c88bafcdb9b6a7c8341967f4970ad",
-      "bytes": 49048,
-      "rows": 4,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54491",
     "goedel_workbook:lean_workbook_plus_54497",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022818.lean\",\"9b7ed1874e134961cb58482b838bc4b0786e63932099a1f01f88808de14950a4\",0,\"lean_workbook_plus_5454\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022820.lean\",\"cddd6d41ed6eb0e5e90c83fcc499e67a8d55fe0ebfb90d9d0c12959a40291570\",0,\"lean_workbook_plus_54547\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022823.lean\",\"330ae5221d02ecf4b4454cc1043d0efcb618546b22fb71fa88808d5eda2b5107\",0,\"lean_workbook_plus_5456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208225,
+      "path": "data/train/p62/goedel_workbook-000912-0000-bcb92f0e0188f11f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "bcb92f0e0188f11f2b6d7be0fcb641d1acf7b5378b60514d1a4b29fcb74a9778"
+    },
+    {
+      "bytes": 49048,
+      "path": "data/dev/p62/goedel_workbook-000912-0000-5d3774393bc846c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5d3774393bc846c6157325f93ed623534e6c88bafcdb9b6a7c8341967f4970ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000913.json b/manifests/batches/goedel_workbook/000913.json
index bce4f45ffbfce3aed3d9dd4fd96685b492c679d0..b7aaf96e0b0b6ad1a3b7536dd5ab1caa489ddc00 100644
--- a/manifests/batches/goedel_workbook/000913.json
+++ b/manifests/batches/goedel_workbook/000913.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000913",
   "batch_fingerprint": "f6102526e26c8346ba25b21edbb6100387edc294078e3a9a3ca5865019ad6e82",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000913-0000-57e38ba8f8cc31ae.parquet",
-      "sha256": "57e38ba8f8cc31ae42ca0a5b4d3c8b843cf1c0156dbc1812f2ba771aa80aaf50",
-      "bytes": 196089,
-      "rows": 52,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000913-0000-d714136081264af1.parquet",
-      "sha256": "d714136081264af1c1f83e831b45178da3e67e4273a73ae11d523dfec8c97ee0",
-      "bytes": 34541,
-      "rows": 1,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54565",
     "goedel_workbook:lean_workbook_plus_54576",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022845.lean\",\"b9afe7b73dec62c63e1de4c60fe8b164494a458c0ae39f3ac3a9aecefa8ba377\",0,\"lean_workbook_plus_54702\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022846.lean\",\"6f3ae975200f72ab08acb763c8cc1b629d062419d828bcf49ae538660cb03a50\",0,\"lean_workbook_plus_54703\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022849.lean\",\"6312b4e00b6d3dc357f6a4226dc8a9b21dfa7be1b5295032e5cc257ae9e987d3\",0,\"lean_workbook_plus_54730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196089,
+      "path": "data/train/pde/goedel_workbook-000913-0000-57e38ba8f8cc31ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "57e38ba8f8cc31ae42ca0a5b4d3c8b843cf1c0156dbc1812f2ba771aa80aaf50"
+    },
+    {
+      "bytes": 34541,
+      "path": "data/internal_test/pde/goedel_workbook-000913-0000-d714136081264af1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d714136081264af1c1f83e831b45178da3e67e4273a73ae11d523dfec8c97ee0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000914.json b/manifests/batches/goedel_workbook/000914.json
index e2433c684939d29bb0bf4d950a04685adc2f274c..5e4a840e96c453b235c928f983fa0da497d6cbd0 100644
--- a/manifests/batches/goedel_workbook/000914.json
+++ b/manifests/batches/goedel_workbook/000914.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000914",
   "batch_fingerprint": "979bca63b261cbbfb739dbffc34633a9dd7a817fed67df302c7ff5c6deab9375",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000914-0000-e6bab5081c826805.parquet",
-      "sha256": "e6bab5081c826805365d7ec62f37a49107b1b353c6c2818f9f7f6d77a014f61e",
-      "bytes": 229132,
-      "rows": 63,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000914-0000-8608ce170ffacaff.parquet",
-      "sha256": "8608ce170ffacaff1a76cc28ea13ce739845ecd2ca52526628b49026cedb66a4",
-      "bytes": 26455,
-      "rows": 1,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54732",
     "goedel_workbook:lean_workbook_plus_54739",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022872.lean\",\"e03430e521f40d4c3f83336c248424fcc6a8e65851108b0644c30ffe6bbd1737\",0,\"lean_workbook_plus_54826\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022873.lean\",\"0b90b17838beb623721d2cb97f1ab1972a171404275448adc3a12ede98971bb7\",0,\"lean_workbook_plus_54828\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022874.lean\",\"8897042b046432f8237a3015e135a5dd799ce4b391e495c82feeb338bc028f17\",0,\"lean_workbook_plus_54837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229132,
+      "path": "data/train/p6e/goedel_workbook-000914-0000-e6bab5081c826805.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "e6bab5081c826805365d7ec62f37a49107b1b353c6c2818f9f7f6d77a014f61e"
+    },
+    {
+      "bytes": 26455,
+      "path": "data/internal_test/p6e/goedel_workbook-000914-0000-8608ce170ffacaff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8608ce170ffacaff1a76cc28ea13ce739845ecd2ca52526628b49026cedb66a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000915.json b/manifests/batches/goedel_workbook/000915.json
index a1560f4e294e35497efb7334df62343de5e8e6be..efda0d0ab44bae67bcf4268ad8e420c71745b307 100644
--- a/manifests/batches/goedel_workbook/000915.json
+++ b/manifests/batches/goedel_workbook/000915.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000915",
   "batch_fingerprint": "6f470eb9818e7b3fe491bf9d01ae3836e86089ce5bfd950be8fdaaf9425d5fa3",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000915-0000-0ba44302e6cdf100.parquet",
-      "sha256": "0ba44302e6cdf1006e741ed5b871849ae9e0c196853eedca14e1fa4453b2b044",
-      "bytes": 178937,
-      "rows": 53,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000915-0000-597aa48ec7c1eda7.parquet",
-      "sha256": "597aa48ec7c1eda7d9a484d22e4875cd1086d2a17affcb4f5b156da3f5c96b1b",
-      "bytes": 27358,
-      "rows": 2,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54844",
     "goedel_workbook:lean_workbook_plus_54862",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022896.lean\",\"535cf29ab1b724236fb64b086c69d0ca4b6779d13a43f0cf8337a93c863d23cb\",0,\"lean_workbook_plus_54971\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022898.lean\",\"819823d99b59149911fb2eae3ccd0e9dd39d89a96ed36d92ce0a2caeedbfe203\",0,\"lean_workbook_plus_54976\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022899.lean\",\"4035dec7b296df671e008fe3cb022cdbc46ca88afbd687f6f9580cb4fb029d6c\",0,\"lean_workbook_plus_54983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178937,
+      "path": "data/train/p49/goedel_workbook-000915-0000-0ba44302e6cdf100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "0ba44302e6cdf1006e741ed5b871849ae9e0c196853eedca14e1fa4453b2b044"
+    },
+    {
+      "bytes": 27358,
+      "path": "data/internal_test/p49/goedel_workbook-000915-0000-597aa48ec7c1eda7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "597aa48ec7c1eda7d9a484d22e4875cd1086d2a17affcb4f5b156da3f5c96b1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000916.json b/manifests/batches/goedel_workbook/000916.json
index baf7e4243045901299c613d783b09eaaee9f5ddb..8b2d5579902cc9016230210b309f8feea857f1eb 100644
--- a/manifests/batches/goedel_workbook/000916.json
+++ b/manifests/batches/goedel_workbook/000916.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000916",
   "batch_fingerprint": "6ce3cdcac7071a42839fab23574da95d94c49a6853084588821e1e7f70bb548f",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000916-0000-3bd18490a85aa6a2.parquet",
-      "sha256": "3bd18490a85aa6a2450588247912c42c563b451affaa11c2e8a43ba7cf840c7a",
-      "bytes": 107232,
-      "rows": 29,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000916-0000-87651bcb5a3c7dc4.parquet",
-      "sha256": "87651bcb5a3c7dc43d4a9425bb89dfcd09b6d21ef499928d12d5f552f4de70c5",
-      "bytes": 62255,
-      "rows": 7,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000916-0000-74de73423e5deeef.parquet",
-      "sha256": "74de73423e5deeefe170a68e282603a9430bb6ec0669bc12c01986ce04d329d6",
-      "bytes": 57327,
-      "rows": 9,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_54985",
     "goedel_workbook:lean_workbook_plus_54986",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022921.lean\",\"47625868879e0d96ab52b0004ccc3db66f8ede14b1ca2b41510ef49f6e94e442\",0,\"lean_workbook_plus_55081\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022922.lean\",\"2e37be7a702341f494da8ba338e1889d02ca9a4532d5484006b620dda4aa335c\",0,\"lean_workbook_plus_55083\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022924.lean\",\"2ab2d8ae6c6c797b9540442e3aebd43bfac774afa8f5719f803595599f4a6fa9\",0,\"lean_workbook_plus_5510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107232,
+      "path": "data/train/pb4/goedel_workbook-000916-0000-3bd18490a85aa6a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "3bd18490a85aa6a2450588247912c42c563b451affaa11c2e8a43ba7cf840c7a"
+    },
+    {
+      "bytes": 62255,
+      "path": "data/dev/pb4/goedel_workbook-000916-0000-87651bcb5a3c7dc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "87651bcb5a3c7dc43d4a9425bb89dfcd09b6d21ef499928d12d5f552f4de70c5"
+    },
+    {
+      "bytes": 57327,
+      "path": "data/internal_test/pb4/goedel_workbook-000916-0000-74de73423e5deeef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "74de73423e5deeefe170a68e282603a9430bb6ec0669bc12c01986ce04d329d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000917.json b/manifests/batches/goedel_workbook/000917.json
index 1980aa9578404db70bc1e576caf212e40c4038c6..5f41d2b9fa5742f55761603f5677dbe4437bfd17 100644
--- a/manifests/batches/goedel_workbook/000917.json
+++ b/manifests/batches/goedel_workbook/000917.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000917",
   "batch_fingerprint": "33ddd10a0bcce26714dc336961fadc2cce2c7fa4e40ed9a4089ab3f685f7fc7c",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000917-0000-06e2bc748894b44c.parquet",
-      "sha256": "06e2bc748894b44c7eee1c1500ca18414041c310e8468f215d17651a46ee40f2",
-      "bytes": 188476,
-      "rows": 38,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000917-0000-e1ec1b9f8a25ab20.parquet",
-      "sha256": "e1ec1b9f8a25ab208b276b9bc4c1b720561d5b87a29e9a041bc5e5eaea18ee49",
-      "bytes": 54795,
-      "rows": 10,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000917-0000-e0120e7e35decc07.parquet",
-      "sha256": "e0120e7e35decc078789ac3ca55eaf9c213162fec243636fb0e29736f686c42d",
-      "bytes": 51388,
-      "rows": 8,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55100",
     "goedel_workbook:lean_workbook_plus_55105",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022947.lean\",\"de1e6c7b0ec13020fb809cdaed416cfd30061427f4c3fa6688beda6f40b0081f\",0,\"lean_workbook_plus_55190\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022948.lean\",\"2a6cdedcd122393acb994bb26d96f80952b4cdd43c2a950aedf0b6240c99645e\",0,\"lean_workbook_plus_55192\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022949.lean\",\"04ef1976b999da2e2648dbae20b0075ec20ceba0a6f2964d05b6b0ece6179b3f\",0,\"lean_workbook_plus_5521\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188476,
+      "path": "data/train/p6f/goedel_workbook-000917-0000-06e2bc748894b44c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "06e2bc748894b44c7eee1c1500ca18414041c310e8468f215d17651a46ee40f2"
+    },
+    {
+      "bytes": 54795,
+      "path": "data/dev/p6f/goedel_workbook-000917-0000-e1ec1b9f8a25ab20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e1ec1b9f8a25ab208b276b9bc4c1b720561d5b87a29e9a041bc5e5eaea18ee49"
+    },
+    {
+      "bytes": 51388,
+      "path": "data/internal_test/p6f/goedel_workbook-000917-0000-e0120e7e35decc07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e0120e7e35decc078789ac3ca55eaf9c213162fec243636fb0e29736f686c42d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000918.json b/manifests/batches/goedel_workbook/000918.json
index 088f54deb3c57be703413f70d7bb6c4804b54d38..950d6a384af327a3d95fd84ac00b95e97df66867 100644
--- a/manifests/batches/goedel_workbook/000918.json
+++ b/manifests/batches/goedel_workbook/000918.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000918",
   "batch_fingerprint": "a2b7b92855e752702ef75ebcff205ef40ddc9f02c8a56102d67c98ae470d851e",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000918-0000-0df81d602928806a.parquet",
-      "sha256": "0df81d602928806a328bd54908c90bc25907fd552404b2e864bb1b868deff8e9",
-      "bytes": 102798,
-      "rows": 24,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000918-0000-62b560fa90197530.parquet",
-      "sha256": "62b560fa90197530d5a140efb2fe0623e36ded38e8644494ae4d8ee40d14d959",
-      "bytes": 27189,
-      "rows": 1,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000918-0000-3ccf4095b7c0d7af.parquet",
-      "sha256": "3ccf4095b7c0d7af8932472c001e9a0104f7b890d26c95c52599fb7cec79c35b",
-      "bytes": 36979,
-      "rows": 2,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55211",
     "goedel_workbook:lean_workbook_plus_55221",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022968.lean\",\"03865c104bf8b18908e1f2054f26573a0f67d000b1fd70e3f5db3c14f19bb7cf\",0,\"lean_workbook_plus_5529\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022971.lean\",\"daca950ead976cd14424364ead58745509e567d0994f9f63b83aeee1ae69b22a\",0,\"lean_workbook_plus_55316\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022972.lean\",\"a6137f425c3ea83beee9fb42ea304b474b0bacbaacc55170b012418a0534feea\",0,\"lean_workbook_plus_55317\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102798,
+      "path": "data/train/p4c/goedel_workbook-000918-0000-0df81d602928806a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0df81d602928806a328bd54908c90bc25907fd552404b2e864bb1b868deff8e9"
+    },
+    {
+      "bytes": 27189,
+      "path": "data/dev/p4c/goedel_workbook-000918-0000-62b560fa90197530.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "62b560fa90197530d5a140efb2fe0623e36ded38e8644494ae4d8ee40d14d959"
+    },
+    {
+      "bytes": 36979,
+      "path": "data/internal_test/p4c/goedel_workbook-000918-0000-3ccf4095b7c0d7af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3ccf4095b7c0d7af8932472c001e9a0104f7b890d26c95c52599fb7cec79c35b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000919.json b/manifests/batches/goedel_workbook/000919.json
index ff135443b69a237e0452cf1feff6403266bdb417..1592b25ae5b6652388030fbaf51d493dfc2cb912 100644
--- a/manifests/batches/goedel_workbook/000919.json
+++ b/manifests/batches/goedel_workbook/000919.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000919",
   "batch_fingerprint": "b9963e814ede146d268c384cb71851d7d8e3dfeb230ed35ec43f0239e5ebed84",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000919-0000-d8da9c2b08de7952.parquet",
-      "sha256": "d8da9c2b08de795216f619d2b94f49830dcec91a9adee384f1a812929cd5bd3b",
-      "bytes": 126415,
-      "rows": 24,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000919-0000-63cce1047e9fa4dc.parquet",
-      "sha256": "63cce1047e9fa4dc7979aad67ebe865cdd7a42973d643974cbb343cfd8072fed",
-      "bytes": 25357,
-      "rows": 1,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000919-0000-d52ce9f3c0ac95ba.parquet",
-      "sha256": "d52ce9f3c0ac95badb93dcde0d056f104d68e3d5eb4c23c7c949569bbd434226",
-      "bytes": 35409,
-      "rows": 1,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55340",
     "goedel_workbook:lean_workbook_plus_55348",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022996.lean\",\"c9ed6179bb896af1315497a0ce120a3f67c3b299e86e2f580ce44c7f65d035a1\",0,\"lean_workbook_plus_55415\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022997.lean\",\"8c30367217d614e1b45b2d124baded2eb2c60ff47416a82352ee7809f9db0ad1\",0,\"lean_workbook_plus_55418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_022998.lean\",\"969c0b682e93e69b88adec8a2ffa45d8010fcfe292a85de41b0564a776189a87\",0,\"lean_workbook_plus_55428\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126415,
+      "path": "data/train/p49/goedel_workbook-000919-0000-d8da9c2b08de7952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d8da9c2b08de795216f619d2b94f49830dcec91a9adee384f1a812929cd5bd3b"
+    },
+    {
+      "bytes": 25357,
+      "path": "data/dev/p49/goedel_workbook-000919-0000-63cce1047e9fa4dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "63cce1047e9fa4dc7979aad67ebe865cdd7a42973d643974cbb343cfd8072fed"
+    },
+    {
+      "bytes": 35409,
+      "path": "data/internal_test/p49/goedel_workbook-000919-0000-d52ce9f3c0ac95ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d52ce9f3c0ac95badb93dcde0d056f104d68e3d5eb4c23c7c949569bbd434226"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000920.json b/manifests/batches/goedel_workbook/000920.json
index db85955e58a4c17c96d6a65a7460cd5c8d24b031..d783f25eac96788393e441cc6e7107ab65d24360 100644
--- a/manifests/batches/goedel_workbook/000920.json
+++ b/manifests/batches/goedel_workbook/000920.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000920",
   "batch_fingerprint": "b3315ea97d59cab09cef27ee8bf1251a7c86346f93e861603d71d7d77266ec96",
   "evidence": {
@@ -175,15 +174,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000920-0000-68fb7188d9c1eb55.parquet",
-      "sha256": "68fb7188d9c1eb55b3494ec8758d9028e7095b7d71dfb3f1a8df87cd17bfc752",
-      "bytes": 206099,
-      "rows": 64,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55442",
     "goedel_workbook:lean_workbook_plus_55444",
@@ -221,5 +212,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023022.lean\",\"12e633df2d8cf6cb0439a8410fe7c00abac1632737cdbd0e9bbad408fe31c4b6\",0,\"lean_workbook_plus_55534\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023023.lean\",\"ae7847173997826cea985587d80972881425498b3d9d61a886c20bd3ef3bf458\",0,\"lean_workbook_plus_55549\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023024.lean\",\"378937764c1f60342ed7cbd8f08bd2d0f0eeab7419a1b0aadbf488abfad51579\",0,\"lean_workbook_plus_55552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206099,
+      "path": "data/train/pa2/goedel_workbook-000920-0000-68fb7188d9c1eb55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "68fb7188d9c1eb55b3494ec8758d9028e7095b7d71dfb3f1a8df87cd17bfc752"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000921.json b/manifests/batches/goedel_workbook/000921.json
index 6f6496ed23574124578ccba3f1177bc1e2596c12..16bcf59ca9ad9056483ee6b86d0d1e3ba8b1cdd6 100644
--- a/manifests/batches/goedel_workbook/000921.json
+++ b/manifests/batches/goedel_workbook/000921.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000921",
   "batch_fingerprint": "125e099bfaf455496f8c41c9bb744ce9e5e1178ec63dbb7371b736516774c76c",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000921-0000-d027c2bc5dd647b7.parquet",
-      "sha256": "d027c2bc5dd647b7dd1d25a4e457bc55a9f2aebc65886517419e0640dd356a89",
-      "bytes": 170430,
-      "rows": 38,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000921-0000-d0a1e3b58bde9215.parquet",
-      "sha256": "d0a1e3b58bde9215de52b6c195a1989085f3b1a942d32ce49aaea94e880075ec",
-      "bytes": 52824,
-      "rows": 2,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000921-0000-9666b1470cbcc038.parquet",
-      "sha256": "9666b1470cbcc03857eba14dde766ea7ceb4825165561219999f38ef5469d965",
-      "bytes": 71635,
-      "rows": 22,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55561",
     "goedel_workbook:lean_workbook_plus_55574",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023045.lean\",\"075bf7138504a558ebdd44a62c8c5032011b3c5612c5bb2f226b1d19fb10154f\",0,\"lean_workbook_plus_55639\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023046.lean\",\"373799ce861636b02180c034f95071d19309cbd6a799dec3ef4a5da0648d9c65\",0,\"lean_workbook_plus_55647\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023049.lean\",\"50697a09398f78e1071708dd2b90ff00410dc348ebebe01fc3244160d7c43395\",0,\"lean_workbook_plus_55654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170430,
+      "path": "data/train/pdc/goedel_workbook-000921-0000-d027c2bc5dd647b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d027c2bc5dd647b7dd1d25a4e457bc55a9f2aebc65886517419e0640dd356a89"
+    },
+    {
+      "bytes": 52824,
+      "path": "data/dev/pdc/goedel_workbook-000921-0000-d0a1e3b58bde9215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d0a1e3b58bde9215de52b6c195a1989085f3b1a942d32ce49aaea94e880075ec"
+    },
+    {
+      "bytes": 71635,
+      "path": "data/internal_test/pdc/goedel_workbook-000921-0000-9666b1470cbcc038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9666b1470cbcc03857eba14dde766ea7ceb4825165561219999f38ef5469d965"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000922.json b/manifests/batches/goedel_workbook/000922.json
index 6d4ed63e47e0a5f7b7745c907a9e7f99ecc7fe7d..f57c12f118b964e320d4a047afcff37112987344 100644
--- a/manifests/batches/goedel_workbook/000922.json
+++ b/manifests/batches/goedel_workbook/000922.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000922",
   "batch_fingerprint": "ea41610fe8dee4891dd42afdd439b43376302335c7976f96b010683a57deeac5",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000922-0000-2b806b49483bb96f.parquet",
-      "sha256": "2b806b49483bb96f9a5bbd1154352aaf76a64d660a5a5a374c98f81798450c09",
-      "bytes": 188740,
-      "rows": 40,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000922-0000-1ce74804cdec9622.parquet",
-      "sha256": "1ce74804cdec962257b9b8d23e09e1ce59956ece21501164c32b5a056c8cfba5",
-      "bytes": 36075,
-      "rows": 4,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55671",
     "goedel_workbook:lean_workbook_plus_55675",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023070.lean\",\"ca4a502e5b5b5a96ffebba0378a5e1c6bc7d783568dab24a1977f631829a7abe\",0,\"lean_workbook_plus_55728\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023071.lean\",\"9912274ccdc0c8f5a6ec5ca4fe00a4c5a67b8b0573761d33bc7077756636f351\",0,\"lean_workbook_plus_5573\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023073.lean\",\"607caf5e7f8c5a6cbb234aac0ed77be96f871c9cd6549b4f169f5db20e1a0781\",0,\"lean_workbook_plus_55734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188740,
+      "path": "data/train/p2f/goedel_workbook-000922-0000-2b806b49483bb96f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "2b806b49483bb96f9a5bbd1154352aaf76a64d660a5a5a374c98f81798450c09"
+    },
+    {
+      "bytes": 36075,
+      "path": "data/internal_test/p2f/goedel_workbook-000922-0000-1ce74804cdec9622.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1ce74804cdec962257b9b8d23e09e1ce59956ece21501164c32b5a056c8cfba5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000923.json b/manifests/batches/goedel_workbook/000923.json
index a04f2d5fa39b3e0c0a76ddcba1fec51fe3daed0a..d714a2463cb94b29b4f2ac700af89da299c2d946 100644
--- a/manifests/batches/goedel_workbook/000923.json
+++ b/manifests/batches/goedel_workbook/000923.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000923",
   "batch_fingerprint": "16b452444835e7c6f7b43b884ccd935e4a47219902cdae6d2e825406423afb83",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000923-0000-79981506545caf4f.parquet",
-      "sha256": "79981506545caf4ff999e50ec954a409deb8ca3d0925b73d5d9f384422026472",
-      "bytes": 70509,
-      "rows": 13,
-      "revision": "413767d375b12428f51fe916dce3035bd74edb31"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55739",
     "goedel_workbook:lean_workbook_plus_5574",
@@ -321,5 +312,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023088.lean\",\"42301775874f6e69f5df69e7c5c19d0dcd0b78e1460d675d676daae77aa35abe\",0,\"lean_workbook_plus_55813\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023090.lean\",\"a2e169aa8f7fb7398982135476eeb3406b2589c8f785e456dabd1e033764238d\",0,\"lean_workbook_plus_55816\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023093.lean\",\"83a87e7afc5e66390b9f52dba1a9075f5640df92c311238e3dbc1710124b8c9e\",0,\"lean_workbook_plus_5584\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70509,
+      "path": "data/train/p99/goedel_workbook-000923-0000-79981506545caf4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "79981506545caf4ff999e50ec954a409deb8ca3d0925b73d5d9f384422026472"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000924.json b/manifests/batches/goedel_workbook/000924.json
index afc75ca74caffed46791df5c9675e006b5092db8..15e7bc3c86a6b6c3501d6944f07045356a193c0c 100644
--- a/manifests/batches/goedel_workbook/000924.json
+++ b/manifests/batches/goedel_workbook/000924.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000924",
   "batch_fingerprint": "9e841754a75540f8d6b0edbccc02de4dae2aac50bcd133f107df575823dd24cb",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000924-0000-bd5451180e603aab.parquet",
-      "sha256": "bd5451180e603aab9fa19d068c0b85e45729dbabf1cbbbc09c341110b644c257",
-      "bytes": 202021,
-      "rows": 47,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000924-0000-b8fae62a160f44e4.parquet",
-      "sha256": "b8fae62a160f44e4d20310c4cd5c2c197da8369b4473137164f68e0959d88039",
-      "bytes": 33923,
-      "rows": 5,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000924-0000-6b0ad7d6814e4d4a.parquet",
-      "sha256": "6b0ad7d6814e4d4af339de789c7251e4ef4e38e563b46a74830470987b2107c3",
-      "bytes": 61580,
-      "rows": 9,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55874",
     "goedel_workbook:lean_workbook_plus_55881",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023122.lean\",\"93dc17d3c384694646933dfa9ddbd0fbcd3fc1304e1df34c15ab78a44f70efca\",0,\"lean_workbook_plus_55972\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023123.lean\",\"6adbfe7cab87b772f6073f84b39332ed0e4e504a5838b8a15c120549ee51429d\",0,\"lean_workbook_plus_55976\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023124.lean\",\"8c3c2959fceb5668e46cc534343cdffb62344ca812b66fbc4c6d3fd9f8be7c97\",0,\"lean_workbook_plus_55977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202021,
+      "path": "data/train/pfa/goedel_workbook-000924-0000-bd5451180e603aab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "bd5451180e603aab9fa19d068c0b85e45729dbabf1cbbbc09c341110b644c257"
+    },
+    {
+      "bytes": 33923,
+      "path": "data/dev/pfa/goedel_workbook-000924-0000-b8fae62a160f44e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b8fae62a160f44e4d20310c4cd5c2c197da8369b4473137164f68e0959d88039"
+    },
+    {
+      "bytes": 61580,
+      "path": "data/internal_test/pfa/goedel_workbook-000924-0000-6b0ad7d6814e4d4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6b0ad7d6814e4d4af339de789c7251e4ef4e38e563b46a74830470987b2107c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000925.json b/manifests/batches/goedel_workbook/000925.json
index 1e8b786c6c6df3a352962ef626707d314d5dd80c..22460a23e03efd2be115de78e8b05619864bf0eb 100644
--- a/manifests/batches/goedel_workbook/000925.json
+++ b/manifests/batches/goedel_workbook/000925.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000925",
   "batch_fingerprint": "d3686d8b79b2704d1beeaa51399e6a7b0cade687b0152ad23c54a463574a5d1d",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000925-0000-d6e3b4b568029a3b.parquet",
-      "sha256": "d6e3b4b568029a3b77e7198bbcae6a359e8858a80cb98fe666ed0a7b904973a5",
-      "bytes": 168276,
-      "rows": 36,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000925-0000-d8edb288e9d12050.parquet",
-      "sha256": "d8edb288e9d12050ae771e6f192879ecb27605c0a06006aa6564c197a56b8249",
-      "bytes": 41833,
-      "rows": 6,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000925-0000-1a0af1c0201e050c.parquet",
-      "sha256": "1a0af1c0201e050cece18d0e8b4eb41f9ce90f4051651977be1beb4358b0784d",
-      "bytes": 50946,
-      "rows": 6,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_55985",
     "goedel_workbook:lean_workbook_plus_55988",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023143.lean\",\"6ec0c2305099af688708b9022b78a384d5413b3888604585cae50c73808bba05\",0,\"lean_workbook_plus_56040\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023145.lean\",\"03e963ca3d145e2ed3a277ef15b086c43d23e281da63497a8da8bf5bf38a52bd\",0,\"lean_workbook_plus_56049\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023148.lean\",\"e57d0547bd11f2544b1092acbe98427bbf5712378633add343aad4b49f95c8ce\",0,\"lean_workbook_plus_56055\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168276,
+      "path": "data/train/p24/goedel_workbook-000925-0000-d6e3b4b568029a3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "d6e3b4b568029a3b77e7198bbcae6a359e8858a80cb98fe666ed0a7b904973a5"
+    },
+    {
+      "bytes": 41833,
+      "path": "data/dev/p24/goedel_workbook-000925-0000-d8edb288e9d12050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d8edb288e9d12050ae771e6f192879ecb27605c0a06006aa6564c197a56b8249"
+    },
+    {
+      "bytes": 50946,
+      "path": "data/internal_test/p24/goedel_workbook-000925-0000-1a0af1c0201e050c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1a0af1c0201e050cece18d0e8b4eb41f9ce90f4051651977be1beb4358b0784d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000926.json b/manifests/batches/goedel_workbook/000926.json
index 7717c718520e9677b5d8958244d88a0db38ef85e..b1456350c815af1900dd6354bbbcf0cd5bdb2834 100644
--- a/manifests/batches/goedel_workbook/000926.json
+++ b/manifests/batches/goedel_workbook/000926.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000926",
   "batch_fingerprint": "e0f6e7d7caa7fd3167a54046e4e5e49ecc3a0dad0cf65afd8259736eb60697e8",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000926-0000-5b32128790e6d561.parquet",
-      "sha256": "5b32128790e6d56167fc5d341302c30d524b3f1667c94a316090a4b702ad5826",
-      "bytes": 252700,
-      "rows": 48,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000926-0000-d49258fb3141cc01.parquet",
-      "sha256": "d49258fb3141cc01ddc18fd442aaa1464a7ea306522b8d4ed91a834967bde6a9",
-      "bytes": 39141,
-      "rows": 2,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56081",
     "goedel_workbook:lean_workbook_plus_56082",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023171.lean\",\"1adc84a8892bcb459ca7e8934affe3e938273d81a0f26d60d5c5bfb047db42a7\",0,\"lean_workbook_plus_56144\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023173.lean\",\"43444eaa9437db8cf5749bd11f50edfe073ecb782bd3cde1a5a9cbecc4fd94a1\",0,\"lean_workbook_plus_56156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023174.lean\",\"c8178ee9f828f70d4107f03cf37321cc4dff1014d0fe87634ff081b8df41bba7\",0,\"lean_workbook_plus_5616\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252700,
+      "path": "data/train/pe7/goedel_workbook-000926-0000-5b32128790e6d561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "5b32128790e6d56167fc5d341302c30d524b3f1667c94a316090a4b702ad5826"
+    },
+    {
+      "bytes": 39141,
+      "path": "data/internal_test/pe7/goedel_workbook-000926-0000-d49258fb3141cc01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d49258fb3141cc01ddc18fd442aaa1464a7ea306522b8d4ed91a834967bde6a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000927.json b/manifests/batches/goedel_workbook/000927.json
index 277de236b8c8b1a61a400ca1468b82f255ebaf0f..50996d93b56bb60c2a23c09facfe0bdac8fb22a5 100644
--- a/manifests/batches/goedel_workbook/000927.json
+++ b/manifests/batches/goedel_workbook/000927.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000927",
   "batch_fingerprint": "a25d8e7761709b8dcd32bb30fe24cbeb5dac0bd734a5a7f450e4c923ef84e9ae",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000927-0000-2a0477467a6effaa.parquet",
-      "sha256": "2a0477467a6effaa6cbac2f8ad092a31093206d360a2fc6b5ae772015a18c61c",
-      "bytes": 229562,
-      "rows": 46,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000927-0000-6d39f83c79e3ca3b.parquet",
-      "sha256": "6d39f83c79e3ca3b95829f7cfeaec1ea21d5780720a5f21f823eb97e32bfe09c",
-      "bytes": 51834,
-      "rows": 6,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56168",
     "goedel_workbook:lean_workbook_plus_56175",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023197.lean\",\"19d6c14ce76917b915d3a3605489250e6f93e36948410a4dcf6c198cce0b7a33\",0,\"lean_workbook_plus_5630\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023198.lean\",\"5326dbba6fb571f3265b1d1b8ece236641ea1f4fdccd9e65496324ae5d161be2\",0,\"lean_workbook_plus_56300\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023199.lean\",\"7a7b77f8c863576c8e4f8753a36ce9d86a32dcda62430fa420c6959e3b95147e\",0,\"lean_workbook_plus_56306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229562,
+      "path": "data/train/p75/goedel_workbook-000927-0000-2a0477467a6effaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "2a0477467a6effaa6cbac2f8ad092a31093206d360a2fc6b5ae772015a18c61c"
+    },
+    {
+      "bytes": 51834,
+      "path": "data/internal_test/p75/goedel_workbook-000927-0000-6d39f83c79e3ca3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6d39f83c79e3ca3b95829f7cfeaec1ea21d5780720a5f21f823eb97e32bfe09c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000928.json b/manifests/batches/goedel_workbook/000928.json
index c9cf81e44f7fc77f061842f6b6eb657cc0408f9d..2d5c024403f2ce92d02a8682a8dac44c9d300cc7 100644
--- a/manifests/batches/goedel_workbook/000928.json
+++ b/manifests/batches/goedel_workbook/000928.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000928",
   "batch_fingerprint": "eb8a8d36e7b25f58d682377993e0571547c9e078cebb6fee4f58942e664df4ba",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000928-0000-eb8333b62af70d07.parquet",
-      "sha256": "eb8333b62af70d07ff23321f906b1972fee68e925717683788eb2910d542fc2a",
-      "bytes": 77143,
-      "rows": 18,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000928-0000-168fed5f927dcf0a.parquet",
-      "sha256": "168fed5f927dcf0a2852b543fff93fa3de45d30b71495c16e21ad66e7bc76f77",
-      "bytes": 41930,
-      "rows": 4,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000928-0000-61ebdfc09dd31d90.parquet",
-      "sha256": "61ebdfc09dd31d904859b22f5f7a1d572b21a317e02107728d3fe45066d28e9f",
-      "bytes": 120864,
-      "rows": 8,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56308",
     "goedel_workbook:lean_workbook_plus_5631",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023222.lean\",\"b1babe0d35f5c3396e9bc89934ddb6c1cd637f0ec0389eebadfd5b5c2e93e2cc\",0,\"lean_workbook_plus_56431\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023223.lean\",\"0a561e5a70003d2e7419e6d120298fb9cb81befd652d1e100f5669b5c7aae931\",0,\"lean_workbook_plus_56436\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023224.lean\",\"6b1d28fae4410af281b895e33bc799c1c3460c3a2a8a3f7a150b6bd4ecf2de92\",0,\"lean_workbook_plus_56437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77143,
+      "path": "data/train/pfd/goedel_workbook-000928-0000-eb8333b62af70d07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "eb8333b62af70d07ff23321f906b1972fee68e925717683788eb2910d542fc2a"
+    },
+    {
+      "bytes": 41930,
+      "path": "data/dev/pfd/goedel_workbook-000928-0000-168fed5f927dcf0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "168fed5f927dcf0a2852b543fff93fa3de45d30b71495c16e21ad66e7bc76f77"
+    },
+    {
+      "bytes": 120864,
+      "path": "data/internal_test/pfd/goedel_workbook-000928-0000-61ebdfc09dd31d90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "61ebdfc09dd31d904859b22f5f7a1d572b21a317e02107728d3fe45066d28e9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000929.json b/manifests/batches/goedel_workbook/000929.json
index 31f2b543850cdca6b22662c3b81ff0c627d7f258..2738cf40de55ccf85f69cab3ec1f2ee8e5bffe4b 100644
--- a/manifests/batches/goedel_workbook/000929.json
+++ b/manifests/batches/goedel_workbook/000929.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000929",
   "batch_fingerprint": "91e012c7d330a73013c00d0981696fa2a6e66fd622bc87808ae11293289c9737",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000929-0000-2d1891c170fc0134.parquet",
-      "sha256": "2d1891c170fc0134d80078a03029fede47f442bb75b907587601d1ecfb620eb7",
-      "bytes": 156689,
-      "rows": 34,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000929-0000-65c412f44477fd8f.parquet",
-      "sha256": "65c412f44477fd8fc6793f4f3dff3953a1980e33cf5885f6e7afbcd4ea44ed3e",
-      "bytes": 38329,
-      "rows": 3,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56444",
     "goedel_workbook:lean_workbook_plus_56466",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023247.lean\",\"b778ee6344b76921728eec5ee701ba472015f7849796932a4ae55692eb87d6c9\",0,\"lean_workbook_plus_5654\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023248.lean\",\"d4ad70d54b9f3f37eca384b6d3dbf05272a68c2c5021f12d33aab352e6505a95\",0,\"lean_workbook_plus_56540\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023249.lean\",\"6dc608141265ef48a1e45403a8a795905480f2961d75b541081bc3decc11d254\",0,\"lean_workbook_plus_56541\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156689,
+      "path": "data/train/p78/goedel_workbook-000929-0000-2d1891c170fc0134.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "2d1891c170fc0134d80078a03029fede47f442bb75b907587601d1ecfb620eb7"
+    },
+    {
+      "bytes": 38329,
+      "path": "data/internal_test/p78/goedel_workbook-000929-0000-65c412f44477fd8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "65c412f44477fd8fc6793f4f3dff3953a1980e33cf5885f6e7afbcd4ea44ed3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000930.json b/manifests/batches/goedel_workbook/000930.json
index a127e6e918ccd262d163e4f23917837f35369bfb..c63898c6b43554538c6bf3fc5de5ba452db7d248 100644
--- a/manifests/batches/goedel_workbook/000930.json
+++ b/manifests/batches/goedel_workbook/000930.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000930",
   "batch_fingerprint": "45db4174814361202531519adc64582813b3d98239f7bb8f47ba27bf8ed54d39",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000930-0000-ef2e81032123cc56.parquet",
-      "sha256": "ef2e81032123cc5644072b88e0252cd37483958aee3f079b4d77cc5658fcf337",
-      "bytes": 90105,
-      "rows": 23,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000930-0000-7cf50780844dd22e.parquet",
-      "sha256": "7cf50780844dd22e3206d4d66eb1efb753aeb3020978a0a2ac4f9cd04dc5b153",
-      "bytes": 41577,
-      "rows": 6,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000930-0000-477dcc4c0fc0dd6b.parquet",
-      "sha256": "477dcc4c0fc0dd6b70ef61df1a27527c136977addcaf044034f4f814be8a352a",
-      "bytes": 52384,
-      "rows": 4,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56543",
     "goedel_workbook:lean_workbook_plus_56559",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023271.lean\",\"16438e6cfc8cf6169abc52f1a7ed6a6824c5a858729ca70febcfd712df0ca039\",0,\"lean_workbook_plus_56623\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023272.lean\",\"64d3e5a3658fe37b44131a4f7933a8a217dc77ab0a7db245c7cb257235e70d9f\",0,\"lean_workbook_plus_56634\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023273.lean\",\"9846f419d683764d83d802fb7ae804ee169664cc99dd223d7bf20440e3c37a32\",0,\"lean_workbook_plus_56646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90105,
+      "path": "data/train/p5f/goedel_workbook-000930-0000-ef2e81032123cc56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ef2e81032123cc5644072b88e0252cd37483958aee3f079b4d77cc5658fcf337"
+    },
+    {
+      "bytes": 41577,
+      "path": "data/dev/p5f/goedel_workbook-000930-0000-7cf50780844dd22e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7cf50780844dd22e3206d4d66eb1efb753aeb3020978a0a2ac4f9cd04dc5b153"
+    },
+    {
+      "bytes": 52384,
+      "path": "data/internal_test/p5f/goedel_workbook-000930-0000-477dcc4c0fc0dd6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "477dcc4c0fc0dd6b70ef61df1a27527c136977addcaf044034f4f814be8a352a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000931.json b/manifests/batches/goedel_workbook/000931.json
index c49e546eed22eff07c947080856f3180cf76de21..852fbb2f28b15d0b17b7239cea844b89259ddb1e 100644
--- a/manifests/batches/goedel_workbook/000931.json
+++ b/manifests/batches/goedel_workbook/000931.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000931",
   "batch_fingerprint": "0715eab13c952ac4da8ae3c0a8c37760c85c56d1dbc13f7f4c6f2001d55a1f8e",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000931-0000-a4d3cd111028c5d6.parquet",
-      "sha256": "a4d3cd111028c5d610e35c42c7b24e451610e961d946058b8b801e1e5c18c15c",
-      "bytes": 147315,
-      "rows": 34,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000931-0000-83cc5da4da5bcbd9.parquet",
-      "sha256": "83cc5da4da5bcbd949ea5799744802a2e3d1623b97c3cbba1b3c87accd5153f2",
-      "bytes": 43852,
-      "rows": 3,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000931-0000-574e2c6ade2b8377.parquet",
-      "sha256": "574e2c6ade2b83776b37f239a0680de2eb3f09efce04d52c6b5cd0530db3098a",
-      "bytes": 37200,
-      "rows": 1,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56649",
     "goedel_workbook:lean_workbook_plus_56650",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023297.lean\",\"e97cdebb1024046749380a74b4eed37f374a03fb5f8e670d589241ea95c6854e\",0,\"lean_workbook_plus_56740\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023298.lean\",\"de2919a826238ae022ecf10f510b6d45f2a8f1cd5b5c0632051b306a078b1db9\",0,\"lean_workbook_plus_56750\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023299.lean\",\"eabd3f650e23054c5a0cca3f0bf4d0ce9f04fafa084fb8336d1bd0e3c99f0b58\",0,\"lean_workbook_plus_56751\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147315,
+      "path": "data/train/p4d/goedel_workbook-000931-0000-a4d3cd111028c5d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "a4d3cd111028c5d610e35c42c7b24e451610e961d946058b8b801e1e5c18c15c"
+    },
+    {
+      "bytes": 43852,
+      "path": "data/dev/p4d/goedel_workbook-000931-0000-83cc5da4da5bcbd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "83cc5da4da5bcbd949ea5799744802a2e3d1623b97c3cbba1b3c87accd5153f2"
+    },
+    {
+      "bytes": 37200,
+      "path": "data/internal_test/p4d/goedel_workbook-000931-0000-574e2c6ade2b8377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "574e2c6ade2b83776b37f239a0680de2eb3f09efce04d52c6b5cd0530db3098a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000932.json b/manifests/batches/goedel_workbook/000932.json
index 60ea1b8cb6989a85558eb0999bd51bee4d6d85ed..77db3a9ce153d8136c0bf549a45e0b651c79b060 100644
--- a/manifests/batches/goedel_workbook/000932.json
+++ b/manifests/batches/goedel_workbook/000932.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000932",
   "batch_fingerprint": "565e76015e748f81ee242a0a3d079a3c1955c73f99336984665c4534154e2f3a",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000932-0000-18d108fe9379a080.parquet",
-      "sha256": "18d108fe9379a08064d0e93751475903bdc0770adcef059540719eaa5deca421",
-      "bytes": 90190,
-      "rows": 17,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000932-0000-ce7329ac3e6614a6.parquet",
-      "sha256": "ce7329ac3e6614a6bceb73ea5cd66242322d9bac1f0625197e1d8f9354b21c10",
-      "bytes": 40572,
-      "rows": 2,
-      "revision": "b1cfb3b0f0e6af2a36cc769acd2f0fea92623e90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56757",
     "goedel_workbook:lean_workbook_plus_56763",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023317.lean\",\"0ac872536ae5339796df628c81deb12d5089d024770be008ee7833005399ba6c\",0,\"lean_workbook_plus_56820\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023318.lean\",\"fee051e8f045630b7b824d7d2f16067d65aeac4439be174d97b1093a96ebd7f9\",0,\"lean_workbook_plus_56824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023321.lean\",\"0d7f2562478f690a239ffbad44bc781cc6ec4c096e48e5f6fabb27b31fff0868\",0,\"lean_workbook_plus_56835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90190,
+      "path": "data/train/p3e/goedel_workbook-000932-0000-18d108fe9379a080.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "18d108fe9379a08064d0e93751475903bdc0770adcef059540719eaa5deca421"
+    },
+    {
+      "bytes": 40572,
+      "path": "data/internal_test/p3e/goedel_workbook-000932-0000-ce7329ac3e6614a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ce7329ac3e6614a6bceb73ea5cd66242322d9bac1f0625197e1d8f9354b21c10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000933.json b/manifests/batches/goedel_workbook/000933.json
index c30b213d63fbf351d140a432c6ac5834e0337b7d..dea25e634168f0dee3c3121f6ec097c9ac6af052 100644
--- a/manifests/batches/goedel_workbook/000933.json
+++ b/manifests/batches/goedel_workbook/000933.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000933",
   "batch_fingerprint": "713f33c94dcea3b8dcd09a0000c9887640a00613e40c1ca5e047c73dd6ac26e3",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000933-0000-2d731367586b858a.parquet",
-      "sha256": "2d731367586b858ae6337090b947c7ebcddf0f725dac4f6fcf14f87346db8fe6",
-      "bytes": 115537,
-      "rows": 35,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000933-0000-0ea1bf02ae7ca235.parquet",
-      "sha256": "0ea1bf02ae7ca23598241290962fe8059f6c180f8b091978cb7599b37c431321",
-      "bytes": 28568,
-      "rows": 1,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56845",
     "goedel_workbook:lean_workbook_plus_56849",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023342.lean\",\"60b0bd856379386a5129cacd56bb0c330462ebede28e256f9d55686e1c01839d\",0,\"lean_workbook_plus_56949\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023345.lean\",\"b5f2789f90428c6298fa3ee8efd3c1522bbc4dc0ed6f7329a81681cedc8d49c9\",0,\"lean_workbook_plus_56973\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023346.lean\",\"760609b30bc70a135fffd9a8f02ec7912f4f5a212c6fed6b1b8c071afd85f0f3\",0,\"lean_workbook_plus_56975\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115537,
+      "path": "data/train/p33/goedel_workbook-000933-0000-2d731367586b858a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "2d731367586b858ae6337090b947c7ebcddf0f725dac4f6fcf14f87346db8fe6"
+    },
+    {
+      "bytes": 28568,
+      "path": "data/internal_test/p33/goedel_workbook-000933-0000-0ea1bf02ae7ca235.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0ea1bf02ae7ca23598241290962fe8059f6c180f8b091978cb7599b37c431321"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000934.json b/manifests/batches/goedel_workbook/000934.json
index 5e78e164ea31599efbe6321c375958796151012f..dae1f7434a4b42ff7257f1868282827b286179ee 100644
--- a/manifests/batches/goedel_workbook/000934.json
+++ b/manifests/batches/goedel_workbook/000934.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000934",
   "batch_fingerprint": "22aea5abcc82a5f804c8397e4944559e43a26f56112e1089ff0e03b39bbc64e7",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000934-0000-06809f0219217c57.parquet",
-      "sha256": "06809f0219217c57bc40c755ffdc0d27fc78bba89475fe8e319746fbfe57c63c",
-      "bytes": 196283,
-      "rows": 47,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000934-0000-d4f5747b67b00360.parquet",
-      "sha256": "d4f5747b67b003601a4b0f4910802e8f0eb8388676efe5ff113106f06044ea86",
-      "bytes": 68488,
-      "rows": 2,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000934-0000-cdefbb592201ddfa.parquet",
-      "sha256": "cdefbb592201ddfabd36da4d080478e602781d2999d75363495e8e046ca49131",
-      "bytes": 156893,
-      "rows": 22,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_56991",
     "goedel_workbook:lean_workbook_plus_56994",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023370.lean\",\"0fc90d97abd7e5ac7d24bacf4970b4c5b53f35dabc6d910edba19af541f85f9f\",0,\"lean_workbook_plus_5709\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023374.lean\",\"9892b340cda7b1af1dcf2f19d36f1c50fb1b2eb2d0f72904bbef6a95fa9a6b89\",0,\"lean_workbook_plus_57116\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196283,
+      "path": "data/train/p4f/goedel_workbook-000934-0000-06809f0219217c57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "06809f0219217c57bc40c755ffdc0d27fc78bba89475fe8e319746fbfe57c63c"
+    },
+    {
+      "bytes": 68488,
+      "path": "data/dev/p4f/goedel_workbook-000934-0000-d4f5747b67b00360.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d4f5747b67b003601a4b0f4910802e8f0eb8388676efe5ff113106f06044ea86"
+    },
+    {
+      "bytes": 156893,
+      "path": "data/internal_test/p4f/goedel_workbook-000934-0000-cdefbb592201ddfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "cdefbb592201ddfabd36da4d080478e602781d2999d75363495e8e046ca49131"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000935.json b/manifests/batches/goedel_workbook/000935.json
index 831bee41cc84d0431f8e1b8d9c19a62163d00171..5315c56161b9a534868428cf7d97db615f01c3ac 100644
--- a/manifests/batches/goedel_workbook/000935.json
+++ b/manifests/batches/goedel_workbook/000935.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000935",
   "batch_fingerprint": "5a33aa9051406998fb9684db4ca4d50f1806cccc68878720367c3bd436f91cc2",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000935-0000-fbaaf68278241ddf.parquet",
-      "sha256": "fbaaf68278241ddf5bdc9eb721c14cdcc4a7abd2f93464b73f6889e681ed7e6d",
-      "bytes": 160381,
-      "rows": 42,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000935-0000-316c7e1379242f2a.parquet",
-      "sha256": "316c7e1379242f2a40354cedb32a4c80f79e2a9bc4b2ad05397b0f2c696c05e1",
-      "bytes": 38563,
-      "rows": 2,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000935-0000-857cb0dcc63079bd.parquet",
-      "sha256": "857cb0dcc63079bd709bdd6c4578638f274763ae174d24b0d9f2cd779408127a",
-      "bytes": 43295,
-      "rows": 2,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57118",
     "goedel_workbook:lean_workbook_plus_57120",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023395.lean\",\"9bf74d2a32175934728d41ad90ce9fa831db7924530d0db968f381d0aedb035f\",0,\"lean_workbook_plus_57196\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023396.lean\",\"014c7e45bbcea0136f036607f330379ffa8019d70b3dab7604d235980e06ab0c\",0,\"lean_workbook_plus_57203\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023398.lean\",\"8f640ab0355838d708499b6e6fff19448f28a782bbf53ce231c29fc24a3bb079\",0,\"lean_workbook_plus_57210\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160381,
+      "path": "data/train/pf3/goedel_workbook-000935-0000-fbaaf68278241ddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "fbaaf68278241ddf5bdc9eb721c14cdcc4a7abd2f93464b73f6889e681ed7e6d"
+    },
+    {
+      "bytes": 38563,
+      "path": "data/dev/pf3/goedel_workbook-000935-0000-316c7e1379242f2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "316c7e1379242f2a40354cedb32a4c80f79e2a9bc4b2ad05397b0f2c696c05e1"
+    },
+    {
+      "bytes": 43295,
+      "path": "data/internal_test/pf3/goedel_workbook-000935-0000-857cb0dcc63079bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "857cb0dcc63079bd709bdd6c4578638f274763ae174d24b0d9f2cd779408127a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000936.json b/manifests/batches/goedel_workbook/000936.json
index 5219c133a7a69d3d3ddfe612ba24197627871b43..5d9b56218c081cd0d4e3f2c9cf066d16cc1c2007 100644
--- a/manifests/batches/goedel_workbook/000936.json
+++ b/manifests/batches/goedel_workbook/000936.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000936",
   "batch_fingerprint": "7fa52d7a1ff4aa638e74340fe5e681b75102b5a6c9a5d2d82168b70a2a04a2ea",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000936-0000-ef8803236b165eec.parquet",
-      "sha256": "ef8803236b165eec4c0e4c0299e785d821204ff184454fcd93cefbe31a75c6c5",
-      "bytes": 154823,
-      "rows": 44,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000936-0000-6a84e2527be66e1b.parquet",
-      "sha256": "6a84e2527be66e1b76aff0baf3c716943fa1057ca514c2e94be8db26c4b25c32",
-      "bytes": 40283,
-      "rows": 4,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_5722",
     "goedel_workbook:lean_workbook_plus_57227",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023419.lean\",\"17f301873082a0e0ee4790aba682e8f00f96c76856e560fc537970c71f6778ac\",0,\"lean_workbook_plus_57301\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023421.lean\",\"9622feacc5d43d80221628bd5477abdd89b11894316f0fdf2340b64fb6fbe63b\",0,\"lean_workbook_plus_57305\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023422.lean\",\"4c6317c9d230d88447d19174d975db4c8041b9a0f0217116ed7e4a9d5a349a39\",0,\"lean_workbook_plus_57309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154823,
+      "path": "data/train/pcc/goedel_workbook-000936-0000-ef8803236b165eec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "ef8803236b165eec4c0e4c0299e785d821204ff184454fcd93cefbe31a75c6c5"
+    },
+    {
+      "bytes": 40283,
+      "path": "data/dev/pcc/goedel_workbook-000936-0000-6a84e2527be66e1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a84e2527be66e1b76aff0baf3c716943fa1057ca514c2e94be8db26c4b25c32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000937.json b/manifests/batches/goedel_workbook/000937.json
index aee31bdda801bd9f9a562c25092d3a8053fc8206..89773e8de04fbed8317e2317a95fe9949623f5c7 100644
--- a/manifests/batches/goedel_workbook/000937.json
+++ b/manifests/batches/goedel_workbook/000937.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000937",
   "batch_fingerprint": "904d2caf5ef3eb89837151c86368859ae3383784cd408c4462c9133ce731826b",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000937-0000-793125c1daf7ab1c.parquet",
-      "sha256": "793125c1daf7ab1cac413c600f355e801c82ad52532c2e96911a8e85d0e962b3",
-      "bytes": 202670,
-      "rows": 56,
-      "revision": "85e52ef53abf558fbb8e1918eb275192e36b33b4"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000937-0000-627540de9fc5e4f5.parquet",
-      "sha256": "627540de9fc5e4f50efb7e74528579453c260e9e4a6e8aa5cdb787a5cf97b66d",
-      "bytes": 34363,
-      "rows": 2,
-      "revision": "85e52ef53abf558fbb8e1918eb275192e36b33b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57336",
     "goedel_workbook:lean_workbook_plus_57343",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023445.lean\",\"145859e7dbdf1589f9af9eea5f64ba2c4d8ac32281bdc66534035a20a5301a58\",0,\"lean_workbook_plus_57420\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023446.lean\",\"59f7a4947b87acbf49d1e27720cdac9113282419426d6e13477e2c731493d5fb\",0,\"lean_workbook_plus_57421\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023447.lean\",\"2e46b927ad38f6082153d503d6d8e31be26151ccb03b0d203f1e9b06c7a579e8\",0,\"lean_workbook_plus_57443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202670,
+      "path": "data/train/p08/goedel_workbook-000937-0000-793125c1daf7ab1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "793125c1daf7ab1cac413c600f355e801c82ad52532c2e96911a8e85d0e962b3"
+    },
+    {
+      "bytes": 34363,
+      "path": "data/internal_test/p08/goedel_workbook-000937-0000-627540de9fc5e4f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "627540de9fc5e4f50efb7e74528579453c260e9e4a6e8aa5cdb787a5cf97b66d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000938.json b/manifests/batches/goedel_workbook/000938.json
index 872298f96d4743070d87b874697516f60996c9e6..290bdaa906d18e9cca66849558be914ad66b67ec 100644
--- a/manifests/batches/goedel_workbook/000938.json
+++ b/manifests/batches/goedel_workbook/000938.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000938",
   "batch_fingerprint": "4b0f5609505abdcbb751c073982643ad2fe473fd3f6c26024d848b80b02d218e",
   "evidence": {
@@ -316,29 +315,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000938-0000-e5e153651f6a34d1.parquet",
-      "sha256": "e5e153651f6a34d1a77aae5da58299dbd7965cc2ab0c5168b061ea4eecfdfb2d",
-      "bytes": 59114,
-      "rows": 13,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000938-0000-16681a82e88ced27.parquet",
-      "sha256": "16681a82e88ced278dd17e0c7e86e4d61bb7dc2f854f9827990ecd4769d6d290",
-      "bytes": 46772,
-      "rows": 2,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000938-0000-4eb231d15abef468.parquet",
-      "sha256": "4eb231d15abef4685d1ed210b009f30428ccdfe22c975d487d38745272b50cd0",
-      "bytes": 65413,
-      "rows": 9,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57464",
     "goedel_workbook:lean_workbook_plus_57479",
@@ -360,5 +337,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023469.lean\",\"99dd9d08a21655f1b542d26020eb37a25d534896d3f9f6c210496b9526cb20d3\",0,\"lean_workbook_plus_57529\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023471.lean\",\"cbfff5e4f95997b385148a914aeb3d7ed2f1d0837ed5dc06123c8dfb4f3c48f2\",0,\"lean_workbook_plus_5754\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023472.lean\",\"2f4b35a17984dec9b887e3467891f4b2552849286333c9dfaf77cd2c722324a2\",0,\"lean_workbook_plus_57543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59114,
+      "path": "data/train/p98/goedel_workbook-000938-0000-e5e153651f6a34d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e5e153651f6a34d1a77aae5da58299dbd7965cc2ab0c5168b061ea4eecfdfb2d"
+    },
+    {
+      "bytes": 46772,
+      "path": "data/dev/p98/goedel_workbook-000938-0000-16681a82e88ced27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "16681a82e88ced278dd17e0c7e86e4d61bb7dc2f854f9827990ecd4769d6d290"
+    },
+    {
+      "bytes": 65413,
+      "path": "data/internal_test/p98/goedel_workbook-000938-0000-4eb231d15abef468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4eb231d15abef4685d1ed210b009f30428ccdfe22c975d487d38745272b50cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000939.json b/manifests/batches/goedel_workbook/000939.json
index 48056011892abf5228f52eabba88346637b0bce8..d574d5c5fbc6aca3de70dc9da58f26bfb1921611 100644
--- a/manifests/batches/goedel_workbook/000939.json
+++ b/manifests/batches/goedel_workbook/000939.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000939",
   "batch_fingerprint": "1c684cd31458037be99b5313ba526cfae30aeddaf9e38f8260ca3fab12ef5428",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000939-0000-35e832185fe0338b.parquet",
-      "sha256": "35e832185fe0338b85b57f915879a84a15014127f3989ab682b97d400416f1a5",
-      "bytes": 161345,
-      "rows": 39,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000939-0000-21bc9b93c9592dff.parquet",
-      "sha256": "21bc9b93c9592dff54e72edd3a04f58d1af474ecf9a4e3a99dae03f6afe3d077",
-      "bytes": 31735,
-      "rows": 1,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000939-0000-e90ac3a1809cb1e5.parquet",
-      "sha256": "e90ac3a1809cb1e5d9d7606b7f89dcf962274725b66322ae6137831a646b69be",
-      "bytes": 69575,
-      "rows": 6,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57554",
     "goedel_workbook:lean_workbook_plus_57579",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023493.lean\",\"57c5040571970c122931fde2dc017fa340f188f54d2b047b9935a0a9cc8b1425\",0,\"lean_workbook_plus_57637\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023494.lean\",\"86b8d5465b0961335c4b918ea5954e42c2843098879f54d473c72a5a2f6cd173\",0,\"lean_workbook_plus_5764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023499.lean\",\"3b3ba7778520d3cc31a0dc7c8b4c736dcfd25e06d420d772f81ecf8f711b29b1\",0,\"lean_workbook_plus_57672\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161345,
+      "path": "data/train/pe1/goedel_workbook-000939-0000-35e832185fe0338b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "35e832185fe0338b85b57f915879a84a15014127f3989ab682b97d400416f1a5"
+    },
+    {
+      "bytes": 31735,
+      "path": "data/dev/pe1/goedel_workbook-000939-0000-21bc9b93c9592dff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "21bc9b93c9592dff54e72edd3a04f58d1af474ecf9a4e3a99dae03f6afe3d077"
+    },
+    {
+      "bytes": 69575,
+      "path": "data/internal_test/pe1/goedel_workbook-000939-0000-e90ac3a1809cb1e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e90ac3a1809cb1e5d9d7606b7f89dcf962274725b66322ae6137831a646b69be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000940.json b/manifests/batches/goedel_workbook/000940.json
index 85e7ccad6dfe49a13c4c19edd0f7803355468ab6..7ed2de3421bc3f7ef32a6034a8b233cf6ffbbd3b 100644
--- a/manifests/batches/goedel_workbook/000940.json
+++ b/manifests/batches/goedel_workbook/000940.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000940",
   "batch_fingerprint": "a510190a10da571222e4054583dec63687e5e2a7bad96e9f9dd73b642977eed1",
   "evidence": {
@@ -164,22 +163,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000940-0000-b1128df7d1fd4359.parquet",
-      "sha256": "b1128df7d1fd43590fd682c63b5fd800a5dec6e49982f085f20d8cf35b230809",
-      "bytes": 150051,
-      "rows": 48,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000940-0000-4c243c8a5091a1db.parquet",
-      "sha256": "4c243c8a5091a1dba120c87f99863d02facfba6a548dc9a6a15609809bf7bb96",
-      "bytes": 27074,
-      "rows": 1,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57696",
     "goedel_workbook:lean_workbook_plus_57714",
@@ -217,5 +201,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023520.lean\",\"6095d07549045fe682f2db2422b592d450458425ace56a765643d7f3bdb02867\",0,\"lean_workbook_plus_57775\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023522.lean\",\"c484714afc0fd2382501c8de327d3bc1919921259422582654253cd01b4fd38a\",0,\"lean_workbook_plus_57786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023524.lean\",\"f65e65c562e02063a7454db6d14cdbb5995c7e329b53a34a6733837b369865ef\",0,\"lean_workbook_plus_57799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150051,
+      "path": "data/train/pb6/goedel_workbook-000940-0000-b1128df7d1fd4359.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "b1128df7d1fd43590fd682c63b5fd800a5dec6e49982f085f20d8cf35b230809"
+    },
+    {
+      "bytes": 27074,
+      "path": "data/internal_test/pb6/goedel_workbook-000940-0000-4c243c8a5091a1db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4c243c8a5091a1dba120c87f99863d02facfba6a548dc9a6a15609809bf7bb96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000941.json b/manifests/batches/goedel_workbook/000941.json
index 750d2d502b34dd0f6c3baf8beef2c6d02ce43bad..bb5b92f49815a6f0836335e2de1817e1af456bf2 100644
--- a/manifests/batches/goedel_workbook/000941.json
+++ b/manifests/batches/goedel_workbook/000941.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000941",
   "batch_fingerprint": "f3477eb5267824ab94d2054abcb1efd7bd5751fb0de701982975a4a68575e936",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000941-0000-f1a59377d2ef6d8b.parquet",
-      "sha256": "f1a59377d2ef6d8bdf055a51b640d366202d8329f9058b5ffdb576d095e7526e",
-      "bytes": 93111,
-      "rows": 22,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000941-0000-c550015df8af8c39.parquet",
-      "sha256": "c550015df8af8c3910c10e478b8230777a74edf5384a996cce617c117e28669d",
-      "bytes": 30083,
-      "rows": 2,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57818",
     "goedel_workbook:lean_workbook_plus_57822",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023546.lean\",\"3a06fd79a655803a941c0573a66a7debb73a59a63c46c6de1bff1810e973352d\",0,\"lean_workbook_plus_57902\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023547.lean\",\"6d845d095c5c85f58c175eae35d4af47c3ed376b5d1637643d34a9663e45c3fe\",0,\"lean_workbook_plus_57913\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023549.lean\",\"6abaed22b2f2db6c0f0bbcf2eb1484d5215c306ba83fa00fe31592f2a96087de\",0,\"lean_workbook_plus_57931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93111,
+      "path": "data/train/pc2/goedel_workbook-000941-0000-f1a59377d2ef6d8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f1a59377d2ef6d8bdf055a51b640d366202d8329f9058b5ffdb576d095e7526e"
+    },
+    {
+      "bytes": 30083,
+      "path": "data/internal_test/pc2/goedel_workbook-000941-0000-c550015df8af8c39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c550015df8af8c3910c10e478b8230777a74edf5384a996cce617c117e28669d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000942.json b/manifests/batches/goedel_workbook/000942.json
index 3cc5d36083bc73e1fe366de260727c4cb1dd3abf..4ebbb1286b556ee24298c6524cc3ee688537a1f9 100644
--- a/manifests/batches/goedel_workbook/000942.json
+++ b/manifests/batches/goedel_workbook/000942.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000942",
   "batch_fingerprint": "620ddd6e86ecaa1bd02e962b126a33c45b040fd3a252d9ad9d334920918403fb",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000942-0000-cd8dddaf833b4f84.parquet",
-      "sha256": "cd8dddaf833b4f8435616e4559c7a4259fc585a1e78bbeb9faeb2879b1701151",
-      "bytes": 182120,
-      "rows": 34,
-      "revision": "85e52ef53abf558fbb8e1918eb275192e36b33b4"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000942-0000-83a1bf119b7d1369.parquet",
-      "sha256": "83a1bf119b7d13699f61056172c92c4a245ebfa979d43ed90160d5e522cf643e",
-      "bytes": 42520,
-      "rows": 6,
-      "revision": "85e52ef53abf558fbb8e1918eb275192e36b33b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_57937",
     "goedel_workbook:lean_workbook_plus_57945",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023572.lean\",\"bd1fc6225fb07b7df633b864d5062d2bf5a4bb641f49238c4488cae8246f5e97\",0,\"lean_workbook_plus_58025\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023573.lean\",\"b54cd2bbab759944132a87ccc2fd6bb627a27b9366a8fed074b3f1da454cc15e\",0,\"lean_workbook_plus_58029\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023574.lean\",\"5c64da75440effd6d59b12b5e10ac5efda2ecd0b5a6b142a3e3b8270270f3622\",0,\"lean_workbook_plus_58031\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182120,
+      "path": "data/train/p05/goedel_workbook-000942-0000-cd8dddaf833b4f84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "cd8dddaf833b4f8435616e4559c7a4259fc585a1e78bbeb9faeb2879b1701151"
+    },
+    {
+      "bytes": 42520,
+      "path": "data/dev/p05/goedel_workbook-000942-0000-83a1bf119b7d1369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "83a1bf119b7d13699f61056172c92c4a245ebfa979d43ed90160d5e522cf643e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000943.json b/manifests/batches/goedel_workbook/000943.json
index d0195c66f74d6906dae8047d495f6a2ac0ab2811..47ae341851dfb362a36054d4232c0b78ecb65715 100644
--- a/manifests/batches/goedel_workbook/000943.json
+++ b/manifests/batches/goedel_workbook/000943.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000943",
   "batch_fingerprint": "b4b1952bee5d5a870f99caf4751d651440db9a4dc9bcf8ac7680974f497c1bd4",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000943-0000-6741e7adc4a26b5b.parquet",
-      "sha256": "6741e7adc4a26b5b42505c13dc909ea40ba7b5c75392ce937c5b9c89f0825b21",
-      "bytes": 111456,
-      "rows": 29,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000943-0000-ae3507ad7ffdfcfa.parquet",
-      "sha256": "ae3507ad7ffdfcfacfcdd1c42bb1c76d54aa3459f7cce4e3c54e6fdc0d43350e",
-      "bytes": 49774,
-      "rows": 9,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000943-0000-e9cb7afd452fec79.parquet",
-      "sha256": "e9cb7afd452fec79eba0f2a63d8a2a26619016965e22136d82dfa861f01ef7a6",
-      "bytes": 38563,
-      "rows": 3,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58039",
     "goedel_workbook:lean_workbook_plus_58041",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023596.lean\",\"67dc62edd5dba9bfbbf21ee6115257de519c9b4ac5c588345a5d4dad2c6b6a5c\",0,\"lean_workbook_plus_58140\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023598.lean\",\"7ee7f7cf091c44cc7240e3937d5157abb8a956cda131e13428a74ae4b58f4945\",0,\"lean_workbook_plus_58145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111456,
+      "path": "data/train/pca/goedel_workbook-000943-0000-6741e7adc4a26b5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6741e7adc4a26b5b42505c13dc909ea40ba7b5c75392ce937c5b9c89f0825b21"
+    },
+    {
+      "bytes": 49774,
+      "path": "data/dev/pca/goedel_workbook-000943-0000-ae3507ad7ffdfcfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ae3507ad7ffdfcfacfcdd1c42bb1c76d54aa3459f7cce4e3c54e6fdc0d43350e"
+    },
+    {
+      "bytes": 38563,
+      "path": "data/internal_test/pca/goedel_workbook-000943-0000-e9cb7afd452fec79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e9cb7afd452fec79eba0f2a63d8a2a26619016965e22136d82dfa861f01ef7a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000944.json b/manifests/batches/goedel_workbook/000944.json
index ff5e3201d863afabb3b8d341591979df7fe31991..7c5677b90e036beb50e180d88219baccac614bd2 100644
--- a/manifests/batches/goedel_workbook/000944.json
+++ b/manifests/batches/goedel_workbook/000944.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000944",
   "batch_fingerprint": "c820ab6bf01e17295af4d745e50880f711d7a88140c3e4b4ad513392688b9a88",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000944-0000-3eba8bcc48339e08.parquet",
-      "sha256": "3eba8bcc48339e089e529bf872832ccdce9b725c2f59ad2f7de5a7c27a5623cc",
-      "bytes": 158355,
-      "rows": 46,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000944-0000-b64900ba0cc910ab.parquet",
-      "sha256": "b64900ba0cc910ab70c247fd9098f63e5347af8b7ff9340d51d43d9cce033c6c",
-      "bytes": 37018,
-      "rows": 4,
-      "revision": "5a148eb45c6890ff74214fad59851483b3efe1a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58167",
     "goedel_workbook:lean_workbook_plus_58175",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023618.lean\",\"21973ae559847dece6fd47646febdf3944b0f62bb0bf8ab154c08f8bb3e290d0\",0,\"lean_workbook_plus_58248\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023624.lean\",\"a1870fab4d10be3a791fb7227f45060a5992b0986ced645721601fe1710fcc9c\",0,\"lean_workbook_plus_58272\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158355,
+      "path": "data/train/pca/goedel_workbook-000944-0000-3eba8bcc48339e08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "3eba8bcc48339e089e529bf872832ccdce9b725c2f59ad2f7de5a7c27a5623cc"
+    },
+    {
+      "bytes": 37018,
+      "path": "data/internal_test/pca/goedel_workbook-000944-0000-b64900ba0cc910ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b64900ba0cc910ab70c247fd9098f63e5347af8b7ff9340d51d43d9cce033c6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000945.json b/manifests/batches/goedel_workbook/000945.json
index 2b2dc6acb7751d0edea0f7f5240acd21e15b473e..378b8b0906550f7b7f44ae60d3e55e7cc9a1e53c 100644
--- a/manifests/batches/goedel_workbook/000945.json
+++ b/manifests/batches/goedel_workbook/000945.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000945",
   "batch_fingerprint": "96b439d6974d80a7101cf1a1f6f3605f2c93bf7cb1b4140de88cd3b4fc9ce405",
   "evidence": {
@@ -100,36 +99,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000945-0000-3dbee20debe61901.parquet",
-      "sha256": "3dbee20debe619012d0e963e32ea69782adda258d52020f15f22fbb80f8f39d7",
-      "bytes": 158950,
-      "rows": 49,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000945-0000-e51f3a655e54aa52.parquet",
-      "sha256": "e51f3a655e54aa52ddaaf34a9d8f55ceeb011ed27f0add786d168d35df0bdcbc",
-      "bytes": 35520,
-      "rows": 2,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000945-0000-4ebce69af45ca119.parquet",
-      "sha256": "4ebce69af45ca11964ab89e7caa09076db1be02a46f13b0d5422e626884b8323",
-      "bytes": 44518,
-      "rows": 5,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000945-0000-45f661f63c8128da.parquet",
-      "sha256": "45f661f63c8128da97b86a9d0e0fcfeb82e55e6fd633d2f0d6f5258b76d70426",
-      "bytes": 32522,
-      "rows": 1,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58292",
     "goedel_workbook:lean_workbook_plus_58293",
@@ -175,5 +145,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023645.lean\",\"34fc07a65ee1dee8ab6754c5f98dfb268683f646c53ae54460a980505b5f4159\",0,\"lean_workbook_plus_58385\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023646.lean\",\"97b4530e66a8ee07f039e45f776bb7c353fc561dd364044203454042c6eaa83a\",0,\"lean_workbook_plus_58386\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023649.lean\",\"d22443bb31a8fe2df47b99208603c642bf029ec93392e87888ae6d88bbd8a855\",0,\"lean_workbook_plus_5840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158950,
+      "path": "data/train/p95/goedel_workbook-000945-0000-3dbee20debe61901.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "3dbee20debe619012d0e963e32ea69782adda258d52020f15f22fbb80f8f39d7"
+    },
+    {
+      "bytes": 35520,
+      "path": "data/dev/p95/goedel_workbook-000945-0000-e51f3a655e54aa52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e51f3a655e54aa52ddaaf34a9d8f55ceeb011ed27f0add786d168d35df0bdcbc"
+    },
+    {
+      "bytes": 44518,
+      "path": "data/internal_test/p95/goedel_workbook-000945-0000-4ebce69af45ca119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4ebce69af45ca11964ab89e7caa09076db1be02a46f13b0d5422e626884b8323"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000946.json b/manifests/batches/goedel_workbook/000946.json
index dcfe07c66baa3f469e4b905fe542fcd4968a14f9..6e4a0b01537c8c685a917db01a36328f9c9b59e4 100644
--- a/manifests/batches/goedel_workbook/000946.json
+++ b/manifests/batches/goedel_workbook/000946.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000946",
   "batch_fingerprint": "cbd492a90a685f8f0d49029851c8d7c22267035c064ee449bb75bd22973e3de9",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000946-0000-e2ff4065bd4347fe.parquet",
-      "sha256": "e2ff4065bd4347fef3200f14391bc4256ccb6ad67c6656fc49f37b1fc13295ab",
-      "bytes": 162221,
-      "rows": 45,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000946-0000-394508ae99fd2f48.parquet",
-      "sha256": "394508ae99fd2f487d56156241042604b3d193435ab0d063de6e92b425a75f75",
-      "bytes": 46376,
-      "rows": 8,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58412",
     "goedel_workbook:lean_workbook_plus_58417",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023672.lean\",\"6fdde7e0e8651d301b84cbf05553a09ead0ae9ff8fa0d6838882aa0a62f50df8\",0,\"lean_workbook_plus_58490\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023673.lean\",\"30b6a93322f4065364867a338267bd413f9f56086e2f14938df8eced3fdcde9a\",0,\"lean_workbook_plus_58491\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023674.lean\",\"0a2d3b5f86023b073780d65b6fcc042c754bed4834e1c3fcfbd940b3ff419c9f\",0,\"lean_workbook_plus_58492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162221,
+      "path": "data/train/p5d/goedel_workbook-000946-0000-e2ff4065bd4347fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "e2ff4065bd4347fef3200f14391bc4256ccb6ad67c6656fc49f37b1fc13295ab"
+    },
+    {
+      "bytes": 46376,
+      "path": "data/dev/p5d/goedel_workbook-000946-0000-394508ae99fd2f48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "394508ae99fd2f487d56156241042604b3d193435ab0d063de6e92b425a75f75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000947.json b/manifests/batches/goedel_workbook/000947.json
index 266668c4a066d8244303c6a1acb0f117697d62e7..85a40f24e4e043aa3cc1cc010fffc59d82232e28 100644
--- a/manifests/batches/goedel_workbook/000947.json
+++ b/manifests/batches/goedel_workbook/000947.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000947",
   "batch_fingerprint": "cad3b62b7101dfe379d083652f114d5131863d2d0ba24f772a320d84c7002a70",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000947-0000-097ff62a964c9827.parquet",
-      "sha256": "097ff62a964c9827d418ec0b897c2a904d9a9228a6e74bb7cfe86c2841159ece",
-      "bytes": 156583,
-      "rows": 38,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000947-0000-5ae335725bae0229.parquet",
-      "sha256": "5ae335725bae022944881d648ef61c2a59fa847eabb63126f2b1589156e21b73",
-      "bytes": 40016,
-      "rows": 3,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58503",
     "goedel_workbook:lean_workbook_plus_58507",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023692.lean\",\"0861501e7c56817bb8c45827c6de766b406eb0cf941b9d02bfaf800eac87ed60\",0,\"lean_workbook_plus_58553\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023693.lean\",\"4593da221aedb778b424b580320caa49a8d36ce12f9588759c550c13d9a97677\",0,\"lean_workbook_plus_58558\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023698.lean\",\"8914a4c8949a7f3147910aa42e6546552536c1c89f36ef2975f22e9f6b03b8a2\",0,\"lean_workbook_plus_58582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156583,
+      "path": "data/train/pa9/goedel_workbook-000947-0000-097ff62a964c9827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "097ff62a964c9827d418ec0b897c2a904d9a9228a6e74bb7cfe86c2841159ece"
+    },
+    {
+      "bytes": 40016,
+      "path": "data/internal_test/pa9/goedel_workbook-000947-0000-5ae335725bae0229.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5ae335725bae022944881d648ef61c2a59fa847eabb63126f2b1589156e21b73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000948.json b/manifests/batches/goedel_workbook/000948.json
index b3d9c201d7cca71d22cdee71db613a9b0978aaf5..1ba83c819db7f3111c7b7fff2d6d6fec7653ffea 100644
--- a/manifests/batches/goedel_workbook/000948.json
+++ b/manifests/batches/goedel_workbook/000948.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000948",
   "batch_fingerprint": "e6a6877cc57b699d132215bd6ab70bc30040c67ae2e206df21d33f850478d8f0",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000948-0000-d78c380b2667d07a.parquet",
-      "sha256": "d78c380b2667d07ae04888fd9bb7062b41482b61545eceaffcb4228515475ac9",
-      "bytes": 132716,
-      "rows": 29,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000948-0000-f345dc42795cea64.parquet",
-      "sha256": "f345dc42795cea64445ab1364a9e80c3fb2e3b29679bfc875d9c6381c64b7f67",
-      "bytes": 37794,
-      "rows": 2,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58602",
     "goedel_workbook:lean_workbook_plus_58606",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023720.lean\",\"4311a936fefc9f851bce6521ceb9342767589e62678f00788f3039fef6461da0\",0,\"lean_workbook_plus_587\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023721.lean\",\"e226a2a4ef952890227d6299c3aad993317025c556abfe3143ce4072d2cc644a\",0,\"lean_workbook_plus_5870\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023724.lean\",\"469955516cbeebe4bd8be53a30f6b2f1581e6c982c8a484286766fba66bad140\",0,\"lean_workbook_plus_58706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132716,
+      "path": "data/train/p2b/goedel_workbook-000948-0000-d78c380b2667d07a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d78c380b2667d07ae04888fd9bb7062b41482b61545eceaffcb4228515475ac9"
+    },
+    {
+      "bytes": 37794,
+      "path": "data/dev/p2b/goedel_workbook-000948-0000-f345dc42795cea64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f345dc42795cea64445ab1364a9e80c3fb2e3b29679bfc875d9c6381c64b7f67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000949.json b/manifests/batches/goedel_workbook/000949.json
index 70c1f97e73c40514b873d01778db011301e23527..92c26b5b40c89de95e2b80f8e39023c4a87938b5 100644
--- a/manifests/batches/goedel_workbook/000949.json
+++ b/manifests/batches/goedel_workbook/000949.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000949",
   "batch_fingerprint": "301955e0def076769efd7c5d2b67dddf05d63559188c6e08c752ec07c5045b42",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000949-0000-fc9035c12f3bd446.parquet",
-      "sha256": "fc9035c12f3bd4468463305788a21c745790d495f067cc38b26c87e553787404",
-      "bytes": 182886,
-      "rows": 46,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000949-0000-1533e7024d8d199d.parquet",
-      "sha256": "1533e7024d8d199d2c0ed7af9c91c97a168567b9040582b3bdf7e79d5068a214",
-      "bytes": 60657,
-      "rows": 5,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000949-0000-8207ac9de4de329f.parquet",
-      "sha256": "8207ac9de4de329fbe74357983426fb68f90f5bcc490271c02097b20a12db5cc",
-      "bytes": 29561,
-      "rows": 2,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58717",
     "goedel_workbook:lean_workbook_plus_58719",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023742.lean\",\"d2fc2f90d5752a3a0779001108bbc3d4d3a64d625194f83f1932c0e219e0496c\",0,\"lean_workbook_plus_58786\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023747.lean\",\"52f0fd33f38fca65bae264a43bff18704d3a3babf5870e3f122e3f12c879b357\",0,\"lean_workbook_plus_58803\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023748.lean\",\"c123b3892e902877f8f5770f2de02734381902bee615bb39055175a01623a0be\",0,\"lean_workbook_plus_58808\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182886,
+      "path": "data/train/p0b/goedel_workbook-000949-0000-fc9035c12f3bd446.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "fc9035c12f3bd4468463305788a21c745790d495f067cc38b26c87e553787404"
+    },
+    {
+      "bytes": 60657,
+      "path": "data/dev/p0b/goedel_workbook-000949-0000-1533e7024d8d199d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1533e7024d8d199d2c0ed7af9c91c97a168567b9040582b3bdf7e79d5068a214"
+    },
+    {
+      "bytes": 29561,
+      "path": "data/internal_test/p0b/goedel_workbook-000949-0000-8207ac9de4de329f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8207ac9de4de329fbe74357983426fb68f90f5bcc490271c02097b20a12db5cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000950.json b/manifests/batches/goedel_workbook/000950.json
index d46ed34b61cb71856499394a9544af93c4403b31..ca340d4ddac2b3f362abf33d1cd574530e00138a 100644
--- a/manifests/batches/goedel_workbook/000950.json
+++ b/manifests/batches/goedel_workbook/000950.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000950",
   "batch_fingerprint": "5212d2d770f6040ebca4408b318ff291bb226712c8ff11bcc9c341f2764c6a41",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000950-0000-3af0caed26b8c9e5.parquet",
-      "sha256": "3af0caed26b8c9e5ae91909011c22b675c8a9ce3d44e5b9eedbd94002c47b17e",
-      "bytes": 175097,
-      "rows": 39,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000950-0000-304147c2b49cabd9.parquet",
-      "sha256": "304147c2b49cabd907bde75905f8f444b59fa2fc081c081603bd7aca7ba9fdd2",
-      "bytes": 64048,
-      "rows": 13,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58811",
     "goedel_workbook:lean_workbook_plus_58813",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023772.lean\",\"2c90754a6a8c51d90c1f68352e611fb6d543a6ef72343b874cba76cec042dc3d\",0,\"lean_workbook_plus_58887\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023773.lean\",\"e0d194393f3716bd2a7730a670a52af5a6e06b4e5623031639d810f1a1e7b132\",0,\"lean_workbook_plus_58888\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023774.lean\",\"891a4e62e5e0b6bb61330fbf22cc4f318c6082b94f95f01ff94318e7551132ea\",0,\"lean_workbook_plus_58891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175097,
+      "path": "data/train/p2c/goedel_workbook-000950-0000-3af0caed26b8c9e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "3af0caed26b8c9e5ae91909011c22b675c8a9ce3d44e5b9eedbd94002c47b17e"
+    },
+    {
+      "bytes": 64048,
+      "path": "data/internal_test/p2c/goedel_workbook-000950-0000-304147c2b49cabd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "304147c2b49cabd907bde75905f8f444b59fa2fc081c081603bd7aca7ba9fdd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000951.json b/manifests/batches/goedel_workbook/000951.json
index b22d096e1913d9c3d5d481af17dcab9b1c74bc3b..e64a3f149919fe484e04b3a49d6a2b7a7bb936cc 100644
--- a/manifests/batches/goedel_workbook/000951.json
+++ b/manifests/batches/goedel_workbook/000951.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000951",
   "batch_fingerprint": "0eb260faeb4713f70ad31934a2cbf5aeb5dd7385a38db70e06d64d8b5b0f5965",
   "evidence": {
@@ -199,15 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000951-0000-77973a028b467eea.parquet",
-      "sha256": "77973a028b467eeabf6e2118a929da0a0d37f12709ff664ae37274172e9e8993",
-      "bytes": 220609,
-      "rows": 39,
-      "revision": "882c008ff81c05054d5d4b1c20712ddabe2337a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_58893",
     "goedel_workbook:lean_workbook_plus_58897",
@@ -241,5 +232,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023791.lean\",\"fce14ed02597724bdf3a81432ef4c23b2fb868ca11e9b45f1af3b5233ec4e049\",0,\"lean_workbook_plus_590\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023793.lean\",\"83930695fe5aae5599784eae382dc5b9b5c198f0d5869f1318f400526f4117bf\",0,\"lean_workbook_plus_59008\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023797.lean\",\"d0ad79728484d4320b15734ba3376e728b6ac780533d573d65c17600b12eebcd\",0,\"lean_workbook_plus_59044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220609,
+      "path": "data/train/pc5/goedel_workbook-000951-0000-77973a028b467eea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "77973a028b467eeabf6e2118a929da0a0d37f12709ff664ae37274172e9e8993"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000952.json b/manifests/batches/goedel_workbook/000952.json
index 4eb54d424dd0dc12a136d05620ad762ca000a3b3..4e09896168544c3d59094b78b954dcb9219ba792 100644
--- a/manifests/batches/goedel_workbook/000952.json
+++ b/manifests/batches/goedel_workbook/000952.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000952",
   "batch_fingerprint": "1079a345c703b09ec162d73113bf076493fa0ac05c65f23f82c3c05371758ad5",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000952-0000-08a8ef15e5f65ed7.parquet",
-      "sha256": "08a8ef15e5f65ed7f46eebb7829972f73b4deea56eff8419fab580cb41dc724c",
-      "bytes": 214888,
-      "rows": 58,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000952-0000-e50473e13ca405a6.parquet",
-      "sha256": "e50473e13ca405a6d1d5dcf13eacc5ef396245b21873973dca732f75a4cd535d",
-      "bytes": 47148,
-      "rows": 6,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59057",
     "goedel_workbook:lean_workbook_plus_59064",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023820.lean\",\"409ff03657df3aba1c848bfca6721ba77c81785e0b06005315bf9da38232f89f\",0,\"lean_workbook_plus_59156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023823.lean\",\"1003a3a9135ab93dacdfe5aa87aab65fe099f2e6d59342579068dd90ca127798\",0,\"lean_workbook_plus_59178\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023824.lean\",\"82cf96e8d9677881276e937b1ecf114c30d9a9c695087c71c4e820b2b6f3839e\",0,\"lean_workbook_plus_59184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214888,
+      "path": "data/train/pd8/goedel_workbook-000952-0000-08a8ef15e5f65ed7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "08a8ef15e5f65ed7f46eebb7829972f73b4deea56eff8419fab580cb41dc724c"
+    },
+    {
+      "bytes": 47148,
+      "path": "data/internal_test/pd8/goedel_workbook-000952-0000-e50473e13ca405a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e50473e13ca405a6d1d5dcf13eacc5ef396245b21873973dca732f75a4cd535d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000953.json b/manifests/batches/goedel_workbook/000953.json
index 0a923520988da863ba915716db5ada73e06e1804..3aa6c206e46d77ebcee3551d93f147a330fd86bc 100644
--- a/manifests/batches/goedel_workbook/000953.json
+++ b/manifests/batches/goedel_workbook/000953.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000953",
   "batch_fingerprint": "2c769ba2ff56b66b1c237bad389d31b24724e4e521754b56ec53eb23463edc2b",
   "evidence": {
@@ -163,36 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000953-0000-80a195220f8560d2.parquet",
-      "sha256": "80a195220f8560d2bf7bf4c835eef0178e5e61c1d3edfe6667906ce1f142fceb",
-      "bytes": 388638,
-      "rows": 43,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/train/goedel_workbook-000953-0001-385bab63f1da56ce.parquet",
-      "sha256": "385bab63f1da56ce3682de5b361237e85e4023c0990fae081d93a2e441dd8f8f",
-      "bytes": 216762,
-      "rows": 10,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000953-0000-0d60f79c0dcc8045.parquet",
-      "sha256": "0d60f79c0dcc80457c1827a819394f1f2d77fcaa8006d5b06d6f720084c226bd",
-      "bytes": 30453,
-      "rows": 1,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000953-0000-72525b20c33c7ca0.parquet",
-      "sha256": "72525b20c33c7ca03720b07c4b1624c61f41e8901cbc116e62fdedf84cd71e3d",
-      "bytes": 34023,
-      "rows": 5,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59191",
     "goedel_workbook:lean_workbook_plus_592",
@@ -230,5 +200,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023847.lean\",\"86ebf5d66bb7ae2e67c1b21ef6971055d7f130eec9baf6dc361a7bfea178ba4a\",0,\"lean_workbook_plus_59293\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023848.lean\",\"e17de877603b5867cdab1b91dddb14c82498bf0f5007f40a57b5b009d948ada8\",0,\"lean_workbook_plus_59300\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023849.lean\",\"babcaab92b1b09c0693801456ea075bd8b66a89dbb9b320e869ce6009922723a\",0,\"lean_workbook_plus_59309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388638,
+      "path": "data/train/pc6/goedel_workbook-000953-0000-80a195220f8560d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "80a195220f8560d2bf7bf4c835eef0178e5e61c1d3edfe6667906ce1f142fceb"
+    },
+    {
+      "bytes": 216762,
+      "path": "data/train/pc6/goedel_workbook-000953-0001-385bab63f1da56ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "385bab63f1da56ce3682de5b361237e85e4023c0990fae081d93a2e441dd8f8f"
+    },
+    {
+      "bytes": 30453,
+      "path": "data/dev/pc6/goedel_workbook-000953-0000-0d60f79c0dcc8045.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0d60f79c0dcc80457c1827a819394f1f2d77fcaa8006d5b06d6f720084c226bd"
+    },
+    {
+      "bytes": 34023,
+      "path": "data/internal_test/pc6/goedel_workbook-000953-0000-72525b20c33c7ca0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "72525b20c33c7ca03720b07c4b1624c61f41e8901cbc116e62fdedf84cd71e3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000954.json b/manifests/batches/goedel_workbook/000954.json
index c443405f31e600a60c286e7be45a19baaeb23e81..da04a235c824135f615f742473badd900ad2210a 100644
--- a/manifests/batches/goedel_workbook/000954.json
+++ b/manifests/batches/goedel_workbook/000954.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000954",
   "batch_fingerprint": "487534f2957f4684aaa2a59fa057ecadee60d95f71cdaa264115c18eed090cae",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000954-0000-ae7776541f02dc43.parquet",
-      "sha256": "ae7776541f02dc43a4644ed3e51d9b9755ea8cf6cb660572f28a223b947c5e58",
-      "bytes": 268688,
-      "rows": 42,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000954-0000-530ae3276fe2b4fa.parquet",
-      "sha256": "530ae3276fe2b4fa0bd314fb34468b50c806ced687c44423be7cb1a0907bb9ae",
-      "bytes": 41427,
-      "rows": 6,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000954-0000-50993145065c2b20.parquet",
-      "sha256": "50993145065c2b203bc7a0ffba4ddb684743ec2c48711258560df47cb602734a",
-      "bytes": 40016,
-      "rows": 7,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59333",
     "goedel_workbook:lean_workbook_plus_59335",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023870.lean\",\"3ca9453f34d6bb0d4cb405e30fc50c7de532c7ad4980a5568bdf952cffe9b19c\",0,\"lean_workbook_plus_59396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023873.lean\",\"13060f5fe83bef58713b3f6a71625225ae091d6e5bd1ef27d525546adf5556c3\",0,\"lean_workbook_plus_59411\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023874.lean\",\"259f7e3363372833fd0751f108d56594b5156a1a8175847c25773a02cb73964d\",0,\"lean_workbook_plus_59414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268688,
+      "path": "data/train/p8d/goedel_workbook-000954-0000-ae7776541f02dc43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "ae7776541f02dc43a4644ed3e51d9b9755ea8cf6cb660572f28a223b947c5e58"
+    },
+    {
+      "bytes": 41427,
+      "path": "data/dev/p8d/goedel_workbook-000954-0000-530ae3276fe2b4fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "530ae3276fe2b4fa0bd314fb34468b50c806ced687c44423be7cb1a0907bb9ae"
+    },
+    {
+      "bytes": 40016,
+      "path": "data/internal_test/p8d/goedel_workbook-000954-0000-50993145065c2b20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "50993145065c2b203bc7a0ffba4ddb684743ec2c48711258560df47cb602734a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000955.json b/manifests/batches/goedel_workbook/000955.json
index 47c0ed437be1f53dcd249e30f49ef8cf544089d2..0339a3ac5a5363bed663cf3611fb34e9d20c908a 100644
--- a/manifests/batches/goedel_workbook/000955.json
+++ b/manifests/batches/goedel_workbook/000955.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000955",
   "batch_fingerprint": "38cf8f0464048d7afa00b5a84b89d5f157f1463b1b50d19a0ed39539dc446246",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000955-0000-adb9ca16b26867bf.parquet",
-      "sha256": "adb9ca16b26867bf1643901517f95f0d33654068718471539d90c7b53689f063",
-      "bytes": 135538,
-      "rows": 36,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000955-0000-af640f80e536f867.parquet",
-      "sha256": "af640f80e536f867b369f40b9ed7acde7645235eece317fae93e6afaf9c19d1e",
-      "bytes": 41892,
-      "rows": 7,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59417",
     "goedel_workbook:lean_workbook_plus_59424",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023896.lean\",\"9540ff94193b3a5781f8e782ad5df7619c41edf42a493608a218d991a5decd3b\",0,\"lean_workbook_plus_59501\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023897.lean\",\"9e709e2f3ad3804d123f6c6efea8bef4b6233e5ee7caab1801aa69b649c92602\",0,\"lean_workbook_plus_5951\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023898.lean\",\"ac665210fd7bc6fc9a5eaaf920e6471715116423219a0857db3ee3e9830c41d5\",0,\"lean_workbook_plus_59512\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135538,
+      "path": "data/train/p90/goedel_workbook-000955-0000-adb9ca16b26867bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "adb9ca16b26867bf1643901517f95f0d33654068718471539d90c7b53689f063"
+    },
+    {
+      "bytes": 41892,
+      "path": "data/internal_test/p90/goedel_workbook-000955-0000-af640f80e536f867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "af640f80e536f867b369f40b9ed7acde7645235eece317fae93e6afaf9c19d1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000956.json b/manifests/batches/goedel_workbook/000956.json
index 2457943962d547206ebbc2db18a29ac230daef5a..2ffde0847c4bbe350118625d98a061f70a9d8dfa 100644
--- a/manifests/batches/goedel_workbook/000956.json
+++ b/manifests/batches/goedel_workbook/000956.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000956",
   "batch_fingerprint": "fbd3e08b0e9b6a7e0cd27ce85b305f708e4e291d70960a38bf885f31e9a7474e",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000956-0000-edd3ffa5399e1ca6.parquet",
-      "sha256": "edd3ffa5399e1ca63419bb14fdea6d2a30853435f1f6c7347d35d1837539772e",
-      "bytes": 159238,
-      "rows": 41,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000956-0000-556853aec349da6d.parquet",
-      "sha256": "556853aec349da6d76d8d7891efeb0ea0cc1736fb4ae200d0251107ec0ce0089",
-      "bytes": 47306,
-      "rows": 7,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59518",
     "goedel_workbook:lean_workbook_plus_59539",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023920.lean\",\"4472cb4e682fcfc6132cd2727895ad5f766b979771b8977bf8d9b2555f9cadc2\",0,\"lean_workbook_plus_59588\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023921.lean\",\"1704670be37156d20daacfcf8d485ce66d5aa416f8f2ee346569d0d0fec8f669\",0,\"lean_workbook_plus_59589\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023922.lean\",\"591bc33a31d8bbd6aff14e6556d866198db9a8a83dcb59f9f36cde96027cf92d\",0,\"lean_workbook_plus_59593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159238,
+      "path": "data/train/pe0/goedel_workbook-000956-0000-edd3ffa5399e1ca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "edd3ffa5399e1ca63419bb14fdea6d2a30853435f1f6c7347d35d1837539772e"
+    },
+    {
+      "bytes": 47306,
+      "path": "data/internal_test/pe0/goedel_workbook-000956-0000-556853aec349da6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "556853aec349da6d76d8d7891efeb0ea0cc1736fb4ae200d0251107ec0ce0089"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000957.json b/manifests/batches/goedel_workbook/000957.json
index f45031a48c642e568024e7db62697cb68eb8078f..0683d2e22cdf8a4af6ee43adc8eb418558fa77c9 100644
--- a/manifests/batches/goedel_workbook/000957.json
+++ b/manifests/batches/goedel_workbook/000957.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000957",
   "batch_fingerprint": "3f962a0f6fc7e48e4e581ace19b63f13c988066cf7cccbf43427be6a840d5ccf",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000957-0000-db8c7eb072c1c242.parquet",
-      "sha256": "db8c7eb072c1c242d5d6afe6c9adfc6a4b357ca862b5b745764a560a5bca4d89",
-      "bytes": 188255,
-      "rows": 41,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000957-0000-889dea6e81800ccc.parquet",
-      "sha256": "889dea6e81800ccc92e0e8a405d38eb06ee55897004f770ec8291e1aab261082",
-      "bytes": 33204,
-      "rows": 3,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000957-0000-9f6b33231844e116.parquet",
-      "sha256": "9f6b33231844e11654ca2057cd511e42f40975756a9c182c5363e15a1ce9e9d6",
-      "bytes": 49324,
-      "rows": 4,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59601",
     "goedel_workbook:lean_workbook_plus_59619",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023946.lean\",\"fca9a6d5051f35a0972f59c264a710ba5bc9daf92e196753e393192115c4302c\",0,\"lean_workbook_plus_59686\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023947.lean\",\"a1d5c1dc5de6acaeb4172ce21ecf96257cab1181861b6dba7da9f31a16a98dd5\",0,\"lean_workbook_plus_59695\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 188255,
+      "path": "data/train/pc7/goedel_workbook-000957-0000-db8c7eb072c1c242.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "db8c7eb072c1c242d5d6afe6c9adfc6a4b357ca862b5b745764a560a5bca4d89"
+    },
+    {
+      "bytes": 33204,
+      "path": "data/dev/pc7/goedel_workbook-000957-0000-889dea6e81800ccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "889dea6e81800ccc92e0e8a405d38eb06ee55897004f770ec8291e1aab261082"
+    },
+    {
+      "bytes": 49324,
+      "path": "data/internal_test/pc7/goedel_workbook-000957-0000-9f6b33231844e116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9f6b33231844e11654ca2057cd511e42f40975756a9c182c5363e15a1ce9e9d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000958.json b/manifests/batches/goedel_workbook/000958.json
index 1c35e366d0e3f308a397771a570eb550fdbd941e..8f68855d8fe2e0a462dffb0b5825e5b881214819 100644
--- a/manifests/batches/goedel_workbook/000958.json
+++ b/manifests/batches/goedel_workbook/000958.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000958",
   "batch_fingerprint": "1ceafd8bdec40102094bf38064b713f2d15eceec3851006ba341696a0090d419",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000958-0000-2f07c15025c201ca.parquet",
-      "sha256": "2f07c15025c201cab14f7f204c32f09c901209e36e00bedad0cf9fbd1bdb59aa",
-      "bytes": 199840,
-      "rows": 43,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000958-0000-52de15f12145c635.parquet",
-      "sha256": "52de15f12145c63591bc77432de9cb3afc3d5ce64264a12a2e8c9c48adbec9e0",
-      "bytes": 24637,
-      "rows": 1,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_5971",
     "goedel_workbook:lean_workbook_plus_5972",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023969.lean\",\"204f4ccd81ac9d221539d5ba76a078834e0535226ac3a0659a92a7434f3d5845\",0,\"lean_workbook_plus_59760\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023971.lean\",\"284225214b8ef08c210cbb3d80b918be1e1e4de1a73160f69ce8cafb4c75561c\",0,\"lean_workbook_plus_59764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023972.lean\",\"030ecb62a1cbc4d15aad693d74ba5a6ff2dc189a7689cfa1ec4d81b5193fd6d5\",0,\"lean_workbook_plus_59766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199840,
+      "path": "data/train/p58/goedel_workbook-000958-0000-2f07c15025c201ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "2f07c15025c201cab14f7f204c32f09c901209e36e00bedad0cf9fbd1bdb59aa"
+    },
+    {
+      "bytes": 24637,
+      "path": "data/internal_test/p58/goedel_workbook-000958-0000-52de15f12145c635.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "52de15f12145c63591bc77432de9cb3afc3d5ce64264a12a2e8c9c48adbec9e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000959.json b/manifests/batches/goedel_workbook/000959.json
index b4f66fa9a285b248a7a54619c14e32493d91a721..6c73e2fdbce4e5fbb9cfc6f811a711144df00e60 100644
--- a/manifests/batches/goedel_workbook/000959.json
+++ b/manifests/batches/goedel_workbook/000959.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000959",
   "batch_fingerprint": "f72bd1cfffeef2044dcd8d441206c2af16376a5977df47074be08ba5d702a657",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000959-0000-557d272a7026b32f.parquet",
-      "sha256": "557d272a7026b32f7dde5c993c504ef7ffca14006568337f4fdaf2e2d91942b6",
-      "bytes": 143556,
-      "rows": 33,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000959-0000-bc05fbbc3c6f95d8.parquet",
-      "sha256": "bc05fbbc3c6f95d8e478b703da659e379d9f2ae8818d08fbed8253a2479427dd",
-      "bytes": 38592,
-      "rows": 2,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59778",
     "goedel_workbook:lean_workbook_plus_59792",
@@ -328,5 +312,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023993.lean\",\"8a7c4114a49fc9c11f4a95164f132cb9ff91d690e2374e50c0e91b86d9e60cd7\",0,\"lean_workbook_plus_59850\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023997.lean\",\"886bf85f3450fda6c8b58dcc998695c982a0716c5641cf79576aac26fe382982\",0,\"lean_workbook_plus_59884\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_023998.lean\",\"1a06a8555d9ef49d8825d4b2fe8a653f046a2a1da2ee8770f91283418c6ecfa2\",0,\"lean_workbook_plus_59886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143556,
+      "path": "data/train/pa6/goedel_workbook-000959-0000-557d272a7026b32f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "557d272a7026b32f7dde5c993c504ef7ffca14006568337f4fdaf2e2d91942b6"
+    },
+    {
+      "bytes": 38592,
+      "path": "data/dev/pa6/goedel_workbook-000959-0000-bc05fbbc3c6f95d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bc05fbbc3c6f95d8e478b703da659e379d9f2ae8818d08fbed8253a2479427dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000960.json b/manifests/batches/goedel_workbook/000960.json
index 9b92ceecb9039e58575675522ef79f76a167fe21..a48df1fec083667705085fa41a3c2bf0b75936a5 100644
--- a/manifests/batches/goedel_workbook/000960.json
+++ b/manifests/batches/goedel_workbook/000960.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000960",
   "batch_fingerprint": "6fb45dbafb71af15b7ddbf8efb78ec29c64983ca2d2464345ff01d8df68ff9e7",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000960-0000-cff45067be08fc85.parquet",
-      "sha256": "cff45067be08fc85bdb9ec9c2b22edae35f8d3a61bcb02d908ead10a6ec38c2c",
-      "bytes": 138605,
-      "rows": 34,
-      "revision": "32a52896c51e5d56dd1d99e8fe6e1c379f84b06c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000960-0000-8c17fc9025fd0457.parquet",
-      "sha256": "8c17fc9025fd0457326bb69d5d45037ec548c512342a3ff9b487f2dfee0830ed",
-      "bytes": 39287,
-      "rows": 1,
-      "revision": "32a52896c51e5d56dd1d99e8fe6e1c379f84b06c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_59895",
     "goedel_workbook:lean_workbook_plus_59896",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024022.lean\",\"2619ac95be330e181be2f47c0b7231a2108ed68e7998f4f97d5812eaa29f22fb\",0,\"lean_workbook_plus_59983\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024023.lean\",\"dcc17397ed6a4549aaf6e7c082b21c497c8abf125ed675e63df2365d62c091b7\",0,\"lean_workbook_plus_59984\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024024.lean\",\"a49a1302489aac21586e2b338730d84ecd18cd34a481ef1cc59606de5baeadb1\",0,\"lean_workbook_plus_6\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138605,
+      "path": "data/train/pa3/goedel_workbook-000960-0000-cff45067be08fc85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "cff45067be08fc85bdb9ec9c2b22edae35f8d3a61bcb02d908ead10a6ec38c2c"
+    },
+    {
+      "bytes": 39287,
+      "path": "data/internal_test/pa3/goedel_workbook-000960-0000-8c17fc9025fd0457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8c17fc9025fd0457326bb69d5d45037ec548c512342a3ff9b487f2dfee0830ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000961.json b/manifests/batches/goedel_workbook/000961.json
index 5fbfc284d4b84f8d1f91b4420f3274a6617c75ac..3d7260ea95ca59f3c97924956b18e624024ef474 100644
--- a/manifests/batches/goedel_workbook/000961.json
+++ b/manifests/batches/goedel_workbook/000961.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000961",
   "batch_fingerprint": "acfa9002684562186d3ca58bb3048e24d43a84178f71daa394ac11938ed59005",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000961-0000-28a978b1b1b3322e.parquet",
-      "sha256": "28a978b1b1b3322ea8eb92f6b7882bc791dba49c9cd33505be13c8136e56a2f5",
-      "bytes": 164374,
-      "rows": 40,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000961-0000-536429a9b4a25992.parquet",
-      "sha256": "536429a9b4a2599220da4101febe1fd480e2f2c560419276a1f39e9df9b9dfc5",
-      "bytes": 60174,
-      "rows": 10,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000961-0000-f9a5a4f77fb37d18.parquet",
-      "sha256": "f9a5a4f77fb37d183eb89ef7dedcdc8c6b927677522f0a3ea8735a300b182a9f",
-      "bytes": 68021,
-      "rows": 12,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60010",
     "goedel_workbook:lean_workbook_plus_6002",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024047.lean\",\"96ba1a3b0da75055dcca1d07476bf6209d7147afaab3d74bcc8ada7dd24799e0\",0,\"lean_workbook_plus_60115\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024048.lean\",\"fd2b049c112c45fc07632bce6a40e6e448b1b9c7ef21ba6fbc4a9410a2e53a8e\",0,\"lean_workbook_plus_60118\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024049.lean\",\"fc1544194ea9fd5deb98028245df40c46c094aab974547e3ec2469d4a7114a2a\",0,\"lean_workbook_plus_60119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164374,
+      "path": "data/train/pe2/goedel_workbook-000961-0000-28a978b1b1b3322e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "28a978b1b1b3322ea8eb92f6b7882bc791dba49c9cd33505be13c8136e56a2f5"
+    },
+    {
+      "bytes": 60174,
+      "path": "data/dev/pe2/goedel_workbook-000961-0000-536429a9b4a25992.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "536429a9b4a2599220da4101febe1fd480e2f2c560419276a1f39e9df9b9dfc5"
+    },
+    {
+      "bytes": 68021,
+      "path": "data/internal_test/pe2/goedel_workbook-000961-0000-f9a5a4f77fb37d18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f9a5a4f77fb37d183eb89ef7dedcdc8c6b927677522f0a3ea8735a300b182a9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000962.json b/manifests/batches/goedel_workbook/000962.json
index 8f31120824c56d18195c5d5ab6391231f5648a0c..5528de320f93107066d02ad6895e31ce385a0206 100644
--- a/manifests/batches/goedel_workbook/000962.json
+++ b/manifests/batches/goedel_workbook/000962.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000962",
   "batch_fingerprint": "cb5008c165acc55db30c93fbd1d594197498244776c0aeaadc5c11395eee236f",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000962-0000-87705cf838918765.parquet",
-      "sha256": "87705cf838918765b6538fdfcd15ada962bfb8335dd2da10699d2b522ac21b2e",
-      "bytes": 136670,
-      "rows": 32,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000962-0000-7a7ca6a7c5f3946d.parquet",
-      "sha256": "7a7ca6a7c5f3946df2b370133effb89e6ddeddd0e1ff59336d34acdfb7468e80",
-      "bytes": 47302,
-      "rows": 4,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6012",
     "goedel_workbook:lean_workbook_plus_60121",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024070.lean\",\"55cd0c004b17796d4efb7336b8ae851d5f862974ba1f1eb83778e3628a5d835f\",0,\"lean_workbook_plus_60195\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024071.lean\",\"966ca009c9ef393e7cd229153938d529b8e4196783b9fc5b55833ed12e452b6b\",0,\"lean_workbook_plus_60215\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024074.lean\",\"b58397b59141a339faa4fc90fed10389e0e956390bbf40c69d46d4055564d0c1\",0,\"lean_workbook_plus_60246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136670,
+      "path": "data/train/p62/goedel_workbook-000962-0000-87705cf838918765.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "87705cf838918765b6538fdfcd15ada962bfb8335dd2da10699d2b522ac21b2e"
+    },
+    {
+      "bytes": 47302,
+      "path": "data/dev/p62/goedel_workbook-000962-0000-7a7ca6a7c5f3946d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7a7ca6a7c5f3946df2b370133effb89e6ddeddd0e1ff59336d34acdfb7468e80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000963.json b/manifests/batches/goedel_workbook/000963.json
index b0c4f7133c15fd6ed5f5bc408b596ac61ab96b04..cc5ff172bd46214286a4e9efa0d476c0876a4702 100644
--- a/manifests/batches/goedel_workbook/000963.json
+++ b/manifests/batches/goedel_workbook/000963.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000963",
   "batch_fingerprint": "a0baad0e7e16245463629186a4e4f0d8eb6c5d206079c1f0ec8e0be25f472a08",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000963-0000-8e391cf867bd7419.parquet",
-      "sha256": "8e391cf867bd7419956658a664774f795aa816fec156ed70dc3e821f8e0cd85f",
-      "bytes": 177226,
-      "rows": 39,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000963-0000-bfe0a7f6de39c52f.parquet",
-      "sha256": "bfe0a7f6de39c52f0d25d4349d32f9af261646455d485ed88749d338efd911af",
-      "bytes": 36476,
-      "rows": 3,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60257",
     "goedel_workbook:lean_workbook_plus_60284",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024097.lean\",\"143e4fe95311fd13cf6d8b6fe5cc31cf8322d79357730f7728ec6d303fab20fd\",0,\"lean_workbook_plus_60348\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024098.lean\",\"cb00c9160934de5d52b9ca0af5e0529c336215368c87a363f6f6abcb8b0253b4\",0,\"lean_workbook_plus_60358\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024099.lean\",\"6ab52c8701db53ec7b22c02ea62d39d847850e7e3915e2ef0453aa46369d8948\",0,\"lean_workbook_plus_60364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177226,
+      "path": "data/train/p1a/goedel_workbook-000963-0000-8e391cf867bd7419.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "8e391cf867bd7419956658a664774f795aa816fec156ed70dc3e821f8e0cd85f"
+    },
+    {
+      "bytes": 36476,
+      "path": "data/internal_test/p1a/goedel_workbook-000963-0000-bfe0a7f6de39c52f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bfe0a7f6de39c52f0d25d4349d32f9af261646455d485ed88749d338efd911af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000964.json b/manifests/batches/goedel_workbook/000964.json
index d8b54d94fb92a2823093b805b824c8dfd1d7a049..bf07810029707f08103e7619c8942add9c65a1ca 100644
--- a/manifests/batches/goedel_workbook/000964.json
+++ b/manifests/batches/goedel_workbook/000964.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000964",
   "batch_fingerprint": "2e83d7a61de0d08ec234f160b6991d517842ac45626c2b4c88272f91d070aa1b",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000964-0000-1d7ea74560d52ac4.parquet",
-      "sha256": "1d7ea74560d52ac432471bb8d73e9443fd0a66dce2ff94bcdc58af259903ffe1",
-      "bytes": 176773,
-      "rows": 39,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000964-0000-7bd740daeafd3f8a.parquet",
-      "sha256": "7bd740daeafd3f8aaa38112be063e0ce7cb08a40cd6040968bbf05d574fbe49f",
-      "bytes": 29231,
-      "rows": 2,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000964-0000-17f6b8a343cc323e.parquet",
-      "sha256": "17f6b8a343cc323e44ee01a793070d3cd51b95706b5d07c528cdd38f8823a490",
-      "bytes": 43038,
-      "rows": 4,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60365",
     "goedel_workbook:lean_workbook_plus_60366",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024121.lean\",\"16d9d11850998bb6dde262f588bd393911c245c2c44b091757b28b276bb61149\",0,\"lean_workbook_plus_60467\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024123.lean\",\"e9ed586bf7023bf582b3f52af7039c3889a499635e3a2c1e2fb367a99846c744\",0,\"lean_workbook_plus_60479\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024124.lean\",\"80f62020fa6cdfcc3bef34348172f8b9a02b2408eb3322342e4f51422ec35bb1\",0,\"lean_workbook_plus_60484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176773,
+      "path": "data/train/p8c/goedel_workbook-000964-0000-1d7ea74560d52ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "1d7ea74560d52ac432471bb8d73e9443fd0a66dce2ff94bcdc58af259903ffe1"
+    },
+    {
+      "bytes": 29231,
+      "path": "data/dev/p8c/goedel_workbook-000964-0000-7bd740daeafd3f8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7bd740daeafd3f8aaa38112be063e0ce7cb08a40cd6040968bbf05d574fbe49f"
+    },
+    {
+      "bytes": 43038,
+      "path": "data/internal_test/p8c/goedel_workbook-000964-0000-17f6b8a343cc323e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17f6b8a343cc323e44ee01a793070d3cd51b95706b5d07c528cdd38f8823a490"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000965.json b/manifests/batches/goedel_workbook/000965.json
index f9f2c47c57366cdb6b866c0db300698aa98ddc0e..191109b7c87cbd96e85345300c74967a2c1cee8a 100644
--- a/manifests/batches/goedel_workbook/000965.json
+++ b/manifests/batches/goedel_workbook/000965.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000965",
   "batch_fingerprint": "6ef18c4ede184ab605432139610ff3d4d511cf6aaa1d524c6f29548cb3e33272",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000965-0000-f6b84dd265d0fd76.parquet",
-      "sha256": "f6b84dd265d0fd76f31851b093ea04bf0949b5102e71893fcea0aea5825d28cc",
-      "bytes": 70894,
-      "rows": 17,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000965-0000-5f5588084fdfdeb7.parquet",
-      "sha256": "5f5588084fdfdeb737db4d555fc79aa5c74ffbe57709b1df9372af75bd292f65",
-      "bytes": 45559,
-      "rows": 10,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000965-0000-0503533b44ac8786.parquet",
-      "sha256": "0503533b44ac8786027f40e148b5468d8fc95e500880c7b9f2cf09c8d8c168c0",
-      "bytes": 30195,
-      "rows": 1,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60491",
     "goedel_workbook:lean_workbook_plus_60494",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024145.lean\",\"d98c91a28d0f9f8d4243f2074f662a126bf97beba41317538199ba59770bb5a6\",0,\"lean_workbook_plus_60563\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024147.lean\",\"0b6e3bea9a91deda8d15aeca3faa7583b5be6271f08205584eace5b0f334c80e\",0,\"lean_workbook_plus_60566\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024148.lean\",\"e316b13da8eb8fff19bdd11f146be6e7ffc73ecb91f49685f7776bd6f85ec5e5\",0,\"lean_workbook_plus_60571\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70894,
+      "path": "data/train/pb3/goedel_workbook-000965-0000-f6b84dd265d0fd76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f6b84dd265d0fd76f31851b093ea04bf0949b5102e71893fcea0aea5825d28cc"
+    },
+    {
+      "bytes": 45559,
+      "path": "data/dev/pb3/goedel_workbook-000965-0000-5f5588084fdfdeb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5f5588084fdfdeb737db4d555fc79aa5c74ffbe57709b1df9372af75bd292f65"
+    },
+    {
+      "bytes": 30195,
+      "path": "data/internal_test/pb3/goedel_workbook-000965-0000-0503533b44ac8786.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0503533b44ac8786027f40e148b5468d8fc95e500880c7b9f2cf09c8d8c168c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000966.json b/manifests/batches/goedel_workbook/000966.json
index fd2054dc0492b9cb138e979c9e5af1d96b5622f6..f011ec8efa272d85119a624a8aeff08c076e45e5 100644
--- a/manifests/batches/goedel_workbook/000966.json
+++ b/manifests/batches/goedel_workbook/000966.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000966",
   "batch_fingerprint": "847b2f5f402d05984a348d2cdc55a0b84adac8c1b0dde5d76ed9f20a704dead6",
   "evidence": {
@@ -236,29 +235,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000966-0000-9f069b3f969f3246.parquet",
-      "sha256": "9f069b3f969f3246016bdb0832dba2f94e183498825cf26fdb7136775c533831",
-      "bytes": 106504,
-      "rows": 29,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000966-0000-473efe67c3e3bfd2.parquet",
-      "sha256": "473efe67c3e3bfd20ad47944f873caac6f5f242b0172ed9f9c47695150b7f252",
-      "bytes": 30204,
-      "rows": 1,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000966-0000-fe44cba8db580b0f.parquet",
-      "sha256": "fe44cba8db580b0f7558cb3f3f33ae9b52c05640ab32af4f263cee485591aeb9",
-      "bytes": 52052,
-      "rows": 7,
-      "revision": "ff2f231fbeba5852a1a4f29da1b414fcde6886b6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60592",
     "goedel_workbook:lean_workbook_plus_60596",
@@ -288,5 +265,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024166.lean\",\"69bf66e9ed7202a7e38d7d15996fa22fe7c1326b0f5465f7b5319b08def813ef\",0,\"lean_workbook_plus_60649\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024167.lean\",\"6ef6d85b4dde142ba6cbf409e7bf40be3d65a5a8a7bb7de399dea2b8273ad4c9\",0,\"lean_workbook_plus_60650\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024170.lean\",\"f5826e0ead80febc529837bb359838fe39319324f19679beb838573a742135bb\",0,\"lean_workbook_plus_60656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106504,
+      "path": "data/train/p4b/goedel_workbook-000966-0000-9f069b3f969f3246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9f069b3f969f3246016bdb0832dba2f94e183498825cf26fdb7136775c533831"
+    },
+    {
+      "bytes": 30204,
+      "path": "data/dev/p4b/goedel_workbook-000966-0000-473efe67c3e3bfd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "473efe67c3e3bfd20ad47944f873caac6f5f242b0172ed9f9c47695150b7f252"
+    },
+    {
+      "bytes": 52052,
+      "path": "data/internal_test/p4b/goedel_workbook-000966-0000-fe44cba8db580b0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fe44cba8db580b0f7558cb3f3f33ae9b52c05640ab32af4f263cee485591aeb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000967.json b/manifests/batches/goedel_workbook/000967.json
index b946fa5061c05ad08a34896e4e339ff73080c12d..fb3a347c8e5fb4dbcec6ef34e3441ef2425cae32 100644
--- a/manifests/batches/goedel_workbook/000967.json
+++ b/manifests/batches/goedel_workbook/000967.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000967",
   "batch_fingerprint": "f4aca74ada3053d630c87e0cf4fb52b1d938a5668c57689874c2d0ec6481f4b3",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000967-0000-fd0eb054ca0b533a.parquet",
-      "sha256": "fd0eb054ca0b533a0056722ad0a75deef4e4b9a43c0211fd2aa87f447eec030f",
-      "bytes": 142725,
-      "rows": 34,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000967-0000-34ceda4c2d0c24c5.parquet",
-      "sha256": "34ceda4c2d0c24c5b1897e599762900908ad6262ff0ac228f7466a6bf31971b9",
-      "bytes": 34680,
-      "rows": 1,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60671",
     "goedel_workbook:lean_workbook_plus_6070",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024195.lean\",\"41b14637b0ae6478403e1e7251c03e868e00d7b0df8a28b6bf37fe58ddef68da\",0,\"lean_workbook_plus_60749\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 142725,
+      "path": "data/train/pfa/goedel_workbook-000967-0000-fd0eb054ca0b533a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fd0eb054ca0b533a0056722ad0a75deef4e4b9a43c0211fd2aa87f447eec030f"
+    },
+    {
+      "bytes": 34680,
+      "path": "data/internal_test/pfa/goedel_workbook-000967-0000-34ceda4c2d0c24c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "34ceda4c2d0c24c5b1897e599762900908ad6262ff0ac228f7466a6bf31971b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000968.json b/manifests/batches/goedel_workbook/000968.json
index 7822e5cdba4e11a39d4ce3ed4750e94e839997d7..7d4d3caddf030a9be494717ecc381336a09ee076 100644
--- a/manifests/batches/goedel_workbook/000968.json
+++ b/manifests/batches/goedel_workbook/000968.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000968",
   "batch_fingerprint": "1a38c7ad400ed3d8c6cfb104c7a7f02478cf5592c4971e94b07ec6bb2faf6f04",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000968-0000-0b1a00c68c0b8d21.parquet",
-      "sha256": "0b1a00c68c0b8d21eb9311ad5559f7dcc71b50f3593c315fffd63af9893e7fd7",
-      "bytes": 133512,
-      "rows": 41,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000968-0000-8a0fe4108ae27771.parquet",
-      "sha256": "8a0fe4108ae277711a1f777836e288f9e6a033715297dd647ea5133409945f1d",
-      "bytes": 33485,
-      "rows": 2,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000968-0000-2a321532728fa0ed.parquet",
-      "sha256": "2a321532728fa0edae0fcb2238ab654afcc7cd6f0f0201874960a54765bf002e",
-      "bytes": 35967,
-      "rows": 7,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6077",
     "goedel_workbook:lean_workbook_plus_60770",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024220.lean\",\"24ebd8598d1556f9161eac3ca22c1d3a4d1708179f448572b4c3ad7af0cabdc1\",0,\"lean_workbook_plus_60817\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 133512,
+      "path": "data/train/p28/goedel_workbook-000968-0000-0b1a00c68c0b8d21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "0b1a00c68c0b8d21eb9311ad5559f7dcc71b50f3593c315fffd63af9893e7fd7"
+    },
+    {
+      "bytes": 33485,
+      "path": "data/dev/p28/goedel_workbook-000968-0000-8a0fe4108ae27771.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8a0fe4108ae277711a1f777836e288f9e6a033715297dd647ea5133409945f1d"
+    },
+    {
+      "bytes": 35967,
+      "path": "data/internal_test/p28/goedel_workbook-000968-0000-2a321532728fa0ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2a321532728fa0edae0fcb2238ab654afcc7cd6f0f0201874960a54765bf002e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000969.json b/manifests/batches/goedel_workbook/000969.json
index 2e5290f459dcfe1ce7edace12ed447048960c321..2d699679c8b04955cc0b54f8053d413254c11d0b 100644
--- a/manifests/batches/goedel_workbook/000969.json
+++ b/manifests/batches/goedel_workbook/000969.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000969",
   "batch_fingerprint": "15f1ad562cfbded2294dca57accc41e9bfd969203c778c22e4882190b5f9973c",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000969-0000-accc693cece628d6.parquet",
-      "sha256": "accc693cece628d6e18f8cf8c557169eb7a22e1db21267f1f5d8d4b2ad23ffe8",
-      "bytes": 188817,
-      "rows": 53,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000969-0000-79817e1bfc4907f8.parquet",
-      "sha256": "79817e1bfc4907f80e4c49f0e50eea69f9d1e956c2a6f9329cbd7b3576b291fc",
-      "bytes": 46588,
-      "rows": 4,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000969-0000-fa688d314e063978.parquet",
-      "sha256": "fa688d314e063978f05091d060a7081e3f2c91f3493efb1a55206da3fc48ec2d",
-      "bytes": 44756,
-      "rows": 5,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60831",
     "goedel_workbook:lean_workbook_plus_60842",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024246.lean\",\"3856e5d8b7e324676b304d979137228be310f666e6e620bdd32834180d852d18\",0,\"lean_workbook_plus_60881\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024247.lean\",\"ba0d3b3726fa064238fd18b2f4397d83751c5872f2f50396a00319ead3b00411\",0,\"lean_workbook_plus_60885\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024248.lean\",\"6438604ac8a82bdc6dbfdd486719e3579e32f901edbef4243e79e69b85fd9cf2\",0,\"lean_workbook_plus_60892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188817,
+      "path": "data/train/pdf/goedel_workbook-000969-0000-accc693cece628d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "accc693cece628d6e18f8cf8c557169eb7a22e1db21267f1f5d8d4b2ad23ffe8"
+    },
+    {
+      "bytes": 46588,
+      "path": "data/dev/pdf/goedel_workbook-000969-0000-79817e1bfc4907f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "79817e1bfc4907f80e4c49f0e50eea69f9d1e956c2a6f9329cbd7b3576b291fc"
+    },
+    {
+      "bytes": 44756,
+      "path": "data/internal_test/pdf/goedel_workbook-000969-0000-fa688d314e063978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fa688d314e063978f05091d060a7081e3f2c91f3493efb1a55206da3fc48ec2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000970.json b/manifests/batches/goedel_workbook/000970.json
index 232ec4154504385fa1c41bec2b09ee519d9de2dc..9b08b8496e02b70a0305ec8c66b093ce970d5314 100644
--- a/manifests/batches/goedel_workbook/000970.json
+++ b/manifests/batches/goedel_workbook/000970.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000970",
   "batch_fingerprint": "92cf8ea85f9404e8da664c26382ba746de4b45fa245ee2d1f1cd949a3eab5fbf",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000970-0000-3dcf20cdd4317d27.parquet",
-      "sha256": "3dcf20cdd4317d275dd1c28b509ece7c4e6d5294b84548e59d12a771a412dac1",
-      "bytes": 148081,
-      "rows": 35,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000970-0000-caf038899eb49a9c.parquet",
-      "sha256": "caf038899eb49a9c847e6e1100b8c16d38306c33a9c8fa0c7db02414f4578fb2",
-      "bytes": 80146,
-      "rows": 9,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_60906",
     "goedel_workbook:lean_workbook_plus_6091",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024271.lean\",\"523fdcf47d8134ea13e964de886a69ddc70d0174b5202915932a8b3de89e6b9b\",0,\"lean_workbook_plus_61012\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024272.lean\",\"85702ade1d29b0454141fd01bf913e1c5ef5e36a85bba4bb2f35eee25274d436\",0,\"lean_workbook_plus_61018\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024274.lean\",\"b89244fc9ae2b841b4ad5aa2a42139881fbe8f62e1a6cb2a044323b005d36d05\",0,\"lean_workbook_plus_6102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148081,
+      "path": "data/train/p08/goedel_workbook-000970-0000-3dcf20cdd4317d27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "3dcf20cdd4317d275dd1c28b509ece7c4e6d5294b84548e59d12a771a412dac1"
+    },
+    {
+      "bytes": 80146,
+      "path": "data/dev/p08/goedel_workbook-000970-0000-caf038899eb49a9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "caf038899eb49a9c847e6e1100b8c16d38306c33a9c8fa0c7db02414f4578fb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000971.json b/manifests/batches/goedel_workbook/000971.json
index 77ba5e9b69198fec394d26d1fbd6fc1f9f7ee5c5..4bba4aac09227c06e491987218053cad95c50877 100644
--- a/manifests/batches/goedel_workbook/000971.json
+++ b/manifests/batches/goedel_workbook/000971.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000971",
   "batch_fingerprint": "97a0534c69a866c9ddc1ff3041079e299250f723ef76251bc91ac3b44c2ab5b1",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000971-0000-daac68cbca4d2cb1.parquet",
-      "sha256": "daac68cbca4d2cb16cee112e3a61fd1727108400ede2316c57dc54ea432b4ecb",
-      "bytes": 111578,
-      "rows": 32,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000971-0000-2623156b4a160ae8.parquet",
-      "sha256": "2623156b4a160ae8bc4e51ceb1d8a006ea0a7f6161c2ad74d405f52c14503a7c",
-      "bytes": 31397,
-      "rows": 2,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61025",
     "goedel_workbook:lean_workbook_plus_61026",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024297.lean\",\"0175b1c1b7c596a6435caa8e3c52e0731ab2fc1d7685ac38115db969dbf23cb4\",0,\"lean_workbook_plus_61102\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024298.lean\",\"9b5a596e02801596363ec79c31c9280719b9529a9da97b2c14d53ca5b72ea500\",0,\"lean_workbook_plus_61116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024299.lean\",\"ac045fd6a8a83bf694f2fd3614bb9aab422f745efc10b23c9af722ba3765418c\",0,\"lean_workbook_plus_61117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111578,
+      "path": "data/train/pe1/goedel_workbook-000971-0000-daac68cbca4d2cb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "daac68cbca4d2cb16cee112e3a61fd1727108400ede2316c57dc54ea432b4ecb"
+    },
+    {
+      "bytes": 31397,
+      "path": "data/dev/pe1/goedel_workbook-000971-0000-2623156b4a160ae8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2623156b4a160ae8bc4e51ceb1d8a006ea0a7f6161c2ad74d405f52c14503a7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000972.json b/manifests/batches/goedel_workbook/000972.json
index 1cc501cd75b4415a476929e52db388054bcebc52..46ea066a5dc9c1fcf8dbe08ed55d26f590e6eb87 100644
--- a/manifests/batches/goedel_workbook/000972.json
+++ b/manifests/batches/goedel_workbook/000972.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000972",
   "batch_fingerprint": "eeeb903201f3a0657e39164ee4716959e17e6a4437e8f46060628d6a8668fd9b",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000972-0000-321c186c7b694475.parquet",
-      "sha256": "321c186c7b69447583efb9d28c6f8f4e27ce2210cf17bedae10f432fe3595697",
-      "bytes": 164989,
-      "rows": 39,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000972-0000-5bfab51082b45120.parquet",
-      "sha256": "5bfab51082b45120222d73388887f2943d00f7b688c798533658e45c92a3e8f5",
-      "bytes": 63504,
-      "rows": 3,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6115",
     "goedel_workbook:lean_workbook_plus_61163",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024319.lean\",\"f2141b6c8bb3e56b944b327c36c31f65544e4ed6ccd9b433cfa647f18a4b10a7\",0,\"lean_workbook_plus_61206\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024320.lean\",\"6cede71e005fed09e1150bd5ffc311f0ee59abd857392e9efead142e2a576baf\",0,\"lean_workbook_plus_6121\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024321.lean\",\"6c19d6d1ee860b81c3d13055561a70423d842ab58f961c4e97063e2811f1691a\",0,\"lean_workbook_plus_61238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164989,
+      "path": "data/train/p13/goedel_workbook-000972-0000-321c186c7b694475.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "321c186c7b69447583efb9d28c6f8f4e27ce2210cf17bedae10f432fe3595697"
+    },
+    {
+      "bytes": 63504,
+      "path": "data/internal_test/p13/goedel_workbook-000972-0000-5bfab51082b45120.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bfab51082b45120222d73388887f2943d00f7b688c798533658e45c92a3e8f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000973.json b/manifests/batches/goedel_workbook/000973.json
index b76f4fbdc06fa242b04735303ff4b2a988376729..47901a0e1483baab872b2773b435046bb541f27d 100644
--- a/manifests/batches/goedel_workbook/000973.json
+++ b/manifests/batches/goedel_workbook/000973.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000973",
   "batch_fingerprint": "4fa69c0bd4b27ff2ee32522a140636652995f12914e0383f6039a25347ad3f86",
   "evidence": {
@@ -334,22 +333,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000973-0000-c65ffb5143e3866b.parquet",
-      "sha256": "c65ffb5143e3866b9b2569199518fc733bcf36c72f3e1bfe49185a25c678293b",
-      "bytes": 83165,
-      "rows": 22,
-      "revision": "86798001d961fd7f86b7d6541cb357387d0a3a02"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000973-0000-0d40cb355e8c7544.parquet",
-      "sha256": "0d40cb355e8c75444fb6ac9f520139295f4783f3a04b92a5df7c29085422fcd9",
-      "bytes": 30042,
-      "rows": 2,
-      "revision": "86798001d961fd7f86b7d6541cb357387d0a3a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61255",
     "goedel_workbook:lean_workbook_plus_61257",
@@ -369,5 +353,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024341.lean\",\"a207e340578f0edba7ab51a97fc0e5224075f8edcdc758ad27ac0cb6ba72cc5a\",0,\"lean_workbook_plus_6130\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024343.lean\",\"356b080c357a66e80b355e55c7ffcb5294953a48b3c1ec8b22277b9ed5ffb134\",0,\"lean_workbook_plus_61308\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024348.lean\",\"001ec1d120e129815b0645202ae10f9a81c547f94b80a9520065668113cf061f\",0,\"lean_workbook_plus_61323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83165,
+      "path": "data/train/p1c/goedel_workbook-000973-0000-c65ffb5143e3866b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c65ffb5143e3866b9b2569199518fc733bcf36c72f3e1bfe49185a25c678293b"
+    },
+    {
+      "bytes": 30042,
+      "path": "data/dev/p1c/goedel_workbook-000973-0000-0d40cb355e8c7544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0d40cb355e8c75444fb6ac9f520139295f4783f3a04b92a5df7c29085422fcd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000974.json b/manifests/batches/goedel_workbook/000974.json
index 47f9cb13ba098403acbebf7cd5c9f12316e4bfeb..9dd6114e7645ccb33c261a2c099a430d42e2918c 100644
--- a/manifests/batches/goedel_workbook/000974.json
+++ b/manifests/batches/goedel_workbook/000974.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000974",
   "batch_fingerprint": "c9219e5e3355cb360d38b42462956b7db8e1ed4700491384cf21693ef591dafa",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000974-0000-132c31aeed56b90c.parquet",
-      "sha256": "132c31aeed56b90cbd5e9896f970f138244a4cfc69140aaaa6e32e27ef35a51a",
-      "bytes": 227363,
-      "rows": 36,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000974-0000-f2130c1cb7c3cbc8.parquet",
-      "sha256": "f2130c1cb7c3cbc8b18a5815d181917b0c4bc972d216545d28f33fe769c6a689",
-      "bytes": 33671,
-      "rows": 1,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000974-0000-484b70885c7ffa30.parquet",
-      "sha256": "484b70885c7ffa30f37b7ca5a893143c44a12caa4501e1b96979ab4b2c88910a",
-      "bytes": 37563,
-      "rows": 2,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61327",
     "goedel_workbook:lean_workbook_plus_61330",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024368.lean\",\"496b5324aea88173b9829870d7caa13ccf0e48a703d16b4c0ee45db35cdc249b\",0,\"lean_workbook_plus_61406\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024369.lean\",\"39e1e6380bf09ee785e644eaaf5f1e4efc5807337b6817c80b171ed0b69aa3b4\",0,\"lean_workbook_plus_61410\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024374.lean\",\"bffb1b1157df386e4b390daa5fe064d7868a90bc2563e99a9b36fc62fbc0abf7\",0,\"lean_workbook_plus_61426\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227363,
+      "path": "data/train/pcb/goedel_workbook-000974-0000-132c31aeed56b90c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "132c31aeed56b90cbd5e9896f970f138244a4cfc69140aaaa6e32e27ef35a51a"
+    },
+    {
+      "bytes": 33671,
+      "path": "data/dev/pcb/goedel_workbook-000974-0000-f2130c1cb7c3cbc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f2130c1cb7c3cbc8b18a5815d181917b0c4bc972d216545d28f33fe769c6a689"
+    },
+    {
+      "bytes": 37563,
+      "path": "data/internal_test/pcb/goedel_workbook-000974-0000-484b70885c7ffa30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "484b70885c7ffa30f37b7ca5a893143c44a12caa4501e1b96979ab4b2c88910a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000975.json b/manifests/batches/goedel_workbook/000975.json
index 0804151d732c2efa407059cc30d9d8405aa4e86e..f38acca7c1563cf4e94f75cbafc1ced2dbf01416 100644
--- a/manifests/batches/goedel_workbook/000975.json
+++ b/manifests/batches/goedel_workbook/000975.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000975",
   "batch_fingerprint": "532b8057aa1027c76f357faa915b30850a683836af15a082120391e8681c0823",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000975-0000-e7a53d7677ea22c2.parquet",
-      "sha256": "e7a53d7677ea22c2f4a51ff972e029dd323c2e26afc8f52d1151fb3da72b7381",
-      "bytes": 118374,
-      "rows": 31,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000975-0000-e7fefb883dd2bde9.parquet",
-      "sha256": "e7fefb883dd2bde93a14cd86527d5c6ea8cc0007eb446c9ac9edda20a2287b08",
-      "bytes": 38355,
-      "rows": 2,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000975-0000-f873c32d211de3c2.parquet",
-      "sha256": "f873c32d211de3c2a54355c9fe62009c62bef0071a9a9dcd6b92eb7766d14026",
-      "bytes": 53260,
-      "rows": 9,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61428",
     "goedel_workbook:lean_workbook_plus_61442",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024396.lean\",\"6dd2f4e9726f281fb4e1233db905e3d2a747c43dda24f0dbf070cc81ede4f9f6\",0,\"lean_workbook_plus_61502\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024397.lean\",\"14d2c213db48b85046bd5810e330fcf308b3ad0735ff9707917f502cbab16e66\",0,\"lean_workbook_plus_61504\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024399.lean\",\"bba365d110b32cd4472a4ff78ee445b9a7e586aad147ac7e97ca180cad1da11a\",0,\"lean_workbook_plus_61509\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118374,
+      "path": "data/train/p2c/goedel_workbook-000975-0000-e7a53d7677ea22c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e7a53d7677ea22c2f4a51ff972e029dd323c2e26afc8f52d1151fb3da72b7381"
+    },
+    {
+      "bytes": 38355,
+      "path": "data/dev/p2c/goedel_workbook-000975-0000-e7fefb883dd2bde9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e7fefb883dd2bde93a14cd86527d5c6ea8cc0007eb446c9ac9edda20a2287b08"
+    },
+    {
+      "bytes": 53260,
+      "path": "data/internal_test/p2c/goedel_workbook-000975-0000-f873c32d211de3c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f873c32d211de3c2a54355c9fe62009c62bef0071a9a9dcd6b92eb7766d14026"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000976.json b/manifests/batches/goedel_workbook/000976.json
index 5367dd312740973222430974b1f60dcf201af8f1..1d82fc6559b200cee205fe5e43d32d65cb5ef132 100644
--- a/manifests/batches/goedel_workbook/000976.json
+++ b/manifests/batches/goedel_workbook/000976.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000976",
   "batch_fingerprint": "ee00415d8343b7034418c48cde8d3077fe49dfbed5a9cc7ec958d5646d54f54b",
   "evidence": {
@@ -316,15 +315,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000976-0000-cd072208c3e9555d.parquet",
-      "sha256": "cd072208c3e9555d70a8bf40d71d36cb06db11617a3738200660f1a08755957e",
-      "bytes": 91756,
-      "rows": 20,
-      "revision": "86798001d961fd7f86b7d6541cb357387d0a3a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61567",
     "goedel_workbook:lean_workbook_plus_61573",
@@ -346,5 +337,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024417.lean\",\"93a44de5ca224ce28fc7a3fbb2169809cb60f5535c8a0a723ec9570d6b67fa20\",0,\"lean_workbook_plus_6161\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024420.lean\",\"12ea08ab84756b449b637ac7f4c1ba741389bc77722c1bb884d0bfbc7dd98641\",0,\"lean_workbook_plus_61628\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024421.lean\",\"fd6ba22a0874403369cc24273ebc33b4eb4099b552b49a56b8ac3f2bed9b1844\",0,\"lean_workbook_plus_61629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91756,
+      "path": "data/train/pd9/goedel_workbook-000976-0000-cd072208c3e9555d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cd072208c3e9555d70a8bf40d71d36cb06db11617a3738200660f1a08755957e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000977.json b/manifests/batches/goedel_workbook/000977.json
index 4ff8f9a203bd8e39df719ee2697476758c2e24fb..b1bd9941096c3daff562d0f95993400cfb11055f 100644
--- a/manifests/batches/goedel_workbook/000977.json
+++ b/manifests/batches/goedel_workbook/000977.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000977",
   "batch_fingerprint": "38bb41891426d2fbd68e44ec443fa24df758c6bda529d2d38d98cb48cf59f0b7",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000977-0000-3ba3a8aa20eae164.parquet",
-      "sha256": "3ba3a8aa20eae16439311d25fa42093d92f5d766a44bcaace064063c48960851",
-      "bytes": 163150,
-      "rows": 37,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000977-0000-7b98e866daa35889.parquet",
-      "sha256": "7b98e866daa35889a17e4d5f23af8d30ca55ba7a110e58fde562d5de086bda32",
-      "bytes": 44658,
-      "rows": 4,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000977-0000-a4cbceda7e4dc6f3.parquet",
-      "sha256": "a4cbceda7e4dc6f3a85e3f4269ec46fe21c0e79a8f6eaa0d7043404212e1e711",
-      "bytes": 32349,
-      "rows": 1,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61638",
     "goedel_workbook:lean_workbook_plus_61644",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024444.lean\",\"65a6c63ff0c6c202864fa5ed193729faf6824e696c9d3cf0923e08a521fa7a7e\",0,\"lean_workbook_plus_61720\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024448.lean\",\"f8addf82b0898829276b99715bcf57370bc3324934e4386a6ce2b55da71d5720\",0,\"lean_workbook_plus_61733\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024449.lean\",\"4926795dbf4358b9ed204e6aed28694d00c3c600711ede9519a3cc6af9acb456\",0,\"lean_workbook_plus_61744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163150,
+      "path": "data/train/p01/goedel_workbook-000977-0000-3ba3a8aa20eae164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "3ba3a8aa20eae16439311d25fa42093d92f5d766a44bcaace064063c48960851"
+    },
+    {
+      "bytes": 44658,
+      "path": "data/dev/p01/goedel_workbook-000977-0000-7b98e866daa35889.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7b98e866daa35889a17e4d5f23af8d30ca55ba7a110e58fde562d5de086bda32"
+    },
+    {
+      "bytes": 32349,
+      "path": "data/internal_test/p01/goedel_workbook-000977-0000-a4cbceda7e4dc6f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a4cbceda7e4dc6f3a85e3f4269ec46fe21c0e79a8f6eaa0d7043404212e1e711"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000978.json b/manifests/batches/goedel_workbook/000978.json
index 0788eec81a431677df11bb7be429e82fd86ff0c3..6c6b0963b8d1d1073ac96ce0cbd0ecde08179d56 100644
--- a/manifests/batches/goedel_workbook/000978.json
+++ b/manifests/batches/goedel_workbook/000978.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000978",
   "batch_fingerprint": "30f59ecefdd26caab9db6997d19499578fa0d0f414e45445a586c1c9ac7fe812",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000978-0000-a1bd5538fe54279d.parquet",
-      "sha256": "a1bd5538fe54279d03cddd4897971703b95994e8b7e68352a3b09761a78159e7",
-      "bytes": 103355,
-      "rows": 25,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000978-0000-d73bc588af71a18e.parquet",
-      "sha256": "d73bc588af71a18e859de5c6319f64b5685e24ed2ca5b9a31a77068e2b24a775",
-      "bytes": 35538,
-      "rows": 3,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000978-0000-54d092958c07cfeb.parquet",
-      "sha256": "54d092958c07cfeba057583acdd8e38657743120fbb47ab1ae06badb3b312e98",
-      "bytes": 32970,
-      "rows": 2,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61758",
     "goedel_workbook:lean_workbook_plus_61763",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024468.lean\",\"e218d1262dd4f574d6cbebbe2196536d9fe3b91e85ed53147d3ff1dc2743baa6\",0,\"lean_workbook_plus_61806\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024469.lean\",\"cf8358b2043f1251a26ce6f4c3a42b05f5ee5d2868979b12395d04a60611e623\",0,\"lean_workbook_plus_61807\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024474.lean\",\"e1ae30843b7c5295dd4ef3fdbb27a5384320e3d7c521ae61f04f52dc7316fc39\",0,\"lean_workbook_plus_61821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103355,
+      "path": "data/train/p34/goedel_workbook-000978-0000-a1bd5538fe54279d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "a1bd5538fe54279d03cddd4897971703b95994e8b7e68352a3b09761a78159e7"
+    },
+    {
+      "bytes": 35538,
+      "path": "data/dev/p34/goedel_workbook-000978-0000-d73bc588af71a18e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d73bc588af71a18e859de5c6319f64b5685e24ed2ca5b9a31a77068e2b24a775"
+    },
+    {
+      "bytes": 32970,
+      "path": "data/internal_test/p34/goedel_workbook-000978-0000-54d092958c07cfeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "54d092958c07cfeba057583acdd8e38657743120fbb47ab1ae06badb3b312e98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000979.json b/manifests/batches/goedel_workbook/000979.json
index 2b5144c2b815f1a6429661c2b08594e9fca22b3f..85654b2570b682db8f86b8984a626975b6894148 100644
--- a/manifests/batches/goedel_workbook/000979.json
+++ b/manifests/batches/goedel_workbook/000979.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000979",
   "batch_fingerprint": "e0ac3fccac5c1230c66860ffd0694929fa9c7e0b574526e75c918b481f869fc4",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000979-0000-f1fc6ad3f552f447.parquet",
-      "sha256": "f1fc6ad3f552f44701e0b6a23a469604a5575d2e700f2b2d4548348c60c784a1",
-      "bytes": 156581,
-      "rows": 35,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000979-0000-dc8168abc962d83e.parquet",
-      "sha256": "dc8168abc962d83ee75070f8d7a1bde263f25cfc61ea01b808ac4051ed7f74c5",
-      "bytes": 54192,
-      "rows": 11,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61844",
     "goedel_workbook:lean_workbook_plus_61846",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024497.lean\",\"62c99ab54f6e3e34179122ced3fe9ec63cdc18a3d4fc25d34eb48830cd8726e3\",0,\"lean_workbook_plus_61944\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024498.lean\",\"4ff8df2bc585b18269ba0ccd9897c499fbae092c54ba2b916244289ad2d4d977\",0,\"lean_workbook_plus_61945\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024499.lean\",\"eb86a13af4db70bb1ffc2c72a7e6216a6b123b52a63f56b0366c6405175ed869\",0,\"lean_workbook_plus_61948\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156581,
+      "path": "data/train/p60/goedel_workbook-000979-0000-f1fc6ad3f552f447.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f1fc6ad3f552f44701e0b6a23a469604a5575d2e700f2b2d4548348c60c784a1"
+    },
+    {
+      "bytes": 54192,
+      "path": "data/internal_test/p60/goedel_workbook-000979-0000-dc8168abc962d83e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "dc8168abc962d83ee75070f8d7a1bde263f25cfc61ea01b808ac4051ed7f74c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000980.json b/manifests/batches/goedel_workbook/000980.json
index 12766c976b407e8a58132d191c4e2fe8e59f9971..78aab4d3d4a5c534fdf6b80eb75e2a55d9a07df0 100644
--- a/manifests/batches/goedel_workbook/000980.json
+++ b/manifests/batches/goedel_workbook/000980.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000980",
   "batch_fingerprint": "14654ef0f1bcf37fc30d0e757afe1551cb2da9e40e0b4c7bf34c5688b19bf52f",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000980-0000-4d3378c12093abf5.parquet",
-      "sha256": "4d3378c12093abf58033d96f1ae03b5a4a04add25db127f18a7397d9557545cf",
-      "bytes": 85829,
-      "rows": 18,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000980-0000-7974a752e0ad193b.parquet",
-      "sha256": "7974a752e0ad193b8d8ee5dfd587230b976e1f70870e33a8e57d383e955b3a05",
-      "bytes": 47722,
-      "rows": 6,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_61962",
     "goedel_workbook:lean_workbook_plus_61970",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024514.lean\",\"079a15001693d139d08be189c5ee02dcb39d2406c931c0e7432cd0527e10da4c\",0,\"lean_workbook_plus_6203\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024515.lean\",\"c1fac96b5e9e9f707e01535a3ce54fa03a9ad010925e98efa5fdc521b5141513\",0,\"lean_workbook_plus_62033\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024516.lean\",\"91a0ba118a64e170b17293ef506770f7e1e9cc83b6b52ffbf9df2586dee53c8b\",0,\"lean_workbook_plus_62037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85829,
+      "path": "data/train/p88/goedel_workbook-000980-0000-4d3378c12093abf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4d3378c12093abf58033d96f1ae03b5a4a04add25db127f18a7397d9557545cf"
+    },
+    {
+      "bytes": 47722,
+      "path": "data/dev/p88/goedel_workbook-000980-0000-7974a752e0ad193b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7974a752e0ad193b8d8ee5dfd587230b976e1f70870e33a8e57d383e955b3a05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000981.json b/manifests/batches/goedel_workbook/000981.json
index 78048f007035674c4dd51a39aa6880e737cc4233..a5f7df2ec26e5bd26e7bd0915f64aee5b553748a 100644
--- a/manifests/batches/goedel_workbook/000981.json
+++ b/manifests/batches/goedel_workbook/000981.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000981",
   "batch_fingerprint": "23f4ec0654597afb3d8826d72b68f00422cf4bfdba6719f54e369075a6e3db1c",
   "evidence": {
@@ -163,36 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000981-0000-5a09935fe1776c3c.parquet",
-      "sha256": "5a09935fe1776c3cb9bd3680f997c9053e62dff23563dddafb6cdecd6dd769a1",
-      "bytes": 355645,
-      "rows": 33,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/train/goedel_workbook-000981-0001-7c6c9abb4961d47e.parquet",
-      "sha256": "7c6c9abb4961d47e96a9309cad219784a579f0dd92fbe0372dada7470fc6be9e",
-      "bytes": 306058,
-      "rows": 17,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000981-0000-b8da78e7204c229c.parquet",
-      "sha256": "b8da78e7204c229c23950e830e87c9563833d6b71bbd4e00119ccb9521413c90",
-      "bytes": 43674,
-      "rows": 2,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000981-0000-e31eb7c18a56a3b6.parquet",
-      "sha256": "e31eb7c18a56a3b6dbd45c198906714f8c69fbfd137837adeee900acc7bcee60",
-      "bytes": 35467,
-      "rows": 2,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62087",
     "goedel_workbook:lean_workbook_plus_62094",
@@ -230,5 +200,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024547.lean\",\"afa04a492246bdb059875127528172ea005746dbc40dba8ff85781732c5037a6\",0,\"lean_workbook_plus_62189\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024548.lean\",\"7263ae98f57928034f16f0eaf85194ed837975c194f032825156c1d81fc1e687\",0,\"lean_workbook_plus_62190\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024549.lean\",\"4e42e71e281f95f1ed63409027980e02144c2bba95ebf30f86888b4586a0fcb1\",0,\"lean_workbook_plus_62191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355645,
+      "path": "data/train/pcd/goedel_workbook-000981-0000-5a09935fe1776c3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "5a09935fe1776c3cb9bd3680f997c9053e62dff23563dddafb6cdecd6dd769a1"
+    },
+    {
+      "bytes": 306058,
+      "path": "data/train/pcd/goedel_workbook-000981-0001-7c6c9abb4961d47e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7c6c9abb4961d47e96a9309cad219784a579f0dd92fbe0372dada7470fc6be9e"
+    },
+    {
+      "bytes": 43674,
+      "path": "data/dev/pcd/goedel_workbook-000981-0000-b8da78e7204c229c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b8da78e7204c229c23950e830e87c9563833d6b71bbd4e00119ccb9521413c90"
+    },
+    {
+      "bytes": 35467,
+      "path": "data/internal_test/pcd/goedel_workbook-000981-0000-e31eb7c18a56a3b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e31eb7c18a56a3b6dbd45c198906714f8c69fbfd137837adeee900acc7bcee60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000982.json b/manifests/batches/goedel_workbook/000982.json
index 0ed38942d9608ba479de96ce781f4a2be65a8113..24b90e43792e38b3b02b3db9663d826fae54d064 100644
--- a/manifests/batches/goedel_workbook/000982.json
+++ b/manifests/batches/goedel_workbook/000982.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000982",
   "batch_fingerprint": "99b37998b5a28eeccdf182a3640034c7d53bb86c5a3d5c01f157fc83705cf438",
   "evidence": {
@@ -218,22 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000982-0000-0fae9388fd72f683.parquet",
-      "sha256": "0fae9388fd72f683bed6b733720570917c9fa249473a2e2cb27414778cc06a75",
-      "bytes": 101190,
-      "rows": 28,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000982-0000-03403232f07f4735.parquet",
-      "sha256": "03403232f07f4735eab36733af4b1c89f6aebae25d8ec2d76b072c32b86df8b9",
-      "bytes": 39829,
-      "rows": 5,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62193",
     "goedel_workbook:lean_workbook_plus_62195",
@@ -265,5 +249,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024568.lean\",\"4de9d2f6e707db22c42d2c724743245a3bf9ecb18a2995ed9dc67b1cb5bf73ac\",0,\"lean_workbook_plus_62265\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024574.lean\",\"5d6b6e84633e07988a6b92aaaa85c95b160c907b7b92671cb7ba7a13243c03d2\",0,\"lean_workbook_plus_62290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101190,
+      "path": "data/train/pc2/goedel_workbook-000982-0000-0fae9388fd72f683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "0fae9388fd72f683bed6b733720570917c9fa249473a2e2cb27414778cc06a75"
+    },
+    {
+      "bytes": 39829,
+      "path": "data/internal_test/pc2/goedel_workbook-000982-0000-03403232f07f4735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "03403232f07f4735eab36733af4b1c89f6aebae25d8ec2d76b072c32b86df8b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000983.json b/manifests/batches/goedel_workbook/000983.json
index 512899314a75f4f27001c94ef2d91d24fbb392c9..09d12e7971748510cb3fb5947bf444344d6ded85 100644
--- a/manifests/batches/goedel_workbook/000983.json
+++ b/manifests/batches/goedel_workbook/000983.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000983",
   "batch_fingerprint": "2d90180f9616e39389ab24a58ed6a6575dc973bcd0669b36dfe71302da2d333f",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000983-0000-5394274d40d9c62b.parquet",
-      "sha256": "5394274d40d9c62b657aae3e4fef8896ad034c1a3417f850d654668d3d133618",
-      "bytes": 236997,
-      "rows": 63,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000983-0000-f47a83c9f63ce8a2.parquet",
-      "sha256": "f47a83c9f63ce8a28b256f90fe30d3d192694f33212813e40c43ca2b7434895e",
-      "bytes": 59043,
-      "rows": 12,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62296",
     "goedel_workbook:lean_workbook_plus_6231",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024596.lean\",\"7151d5ce047790f2f4e8169200fbc2357d65fc35ca3c0824cb82a2cfc71cf829\",0,\"lean_workbook_plus_62355\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024598.lean\",\"bc6c00f00747bdd6fe43a87c9bf9066111392f4c9e5a2d15187e80939da26683\",0,\"lean_workbook_plus_6237\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024599.lean\",\"cae099bc78fbf36c41f29f65f9f0754b68bb43b69e4181a60f0d064624462351\",0,\"lean_workbook_plus_62375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236997,
+      "path": "data/train/p60/goedel_workbook-000983-0000-5394274d40d9c62b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "5394274d40d9c62b657aae3e4fef8896ad034c1a3417f850d654668d3d133618"
+    },
+    {
+      "bytes": 59043,
+      "path": "data/internal_test/p60/goedel_workbook-000983-0000-f47a83c9f63ce8a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f47a83c9f63ce8a28b256f90fe30d3d192694f33212813e40c43ca2b7434895e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000984.json b/manifests/batches/goedel_workbook/000984.json
index f34022469018f85b72ce7e773d356d5a778359a9..c499e637a601d2e071369a590a95bf54b87352f3 100644
--- a/manifests/batches/goedel_workbook/000984.json
+++ b/manifests/batches/goedel_workbook/000984.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000984",
   "batch_fingerprint": "ca930bfa7bef8eb3f6c7cc0b48d922478f2f6ce1d2d14f0737e532ae0345d3ff",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000984-0000-c42d9f57fa4717ac.parquet",
-      "sha256": "c42d9f57fa4717acd988dd55a267624379baec1fa0d4597a82123faff2684608",
-      "bytes": 95436,
-      "rows": 32,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000984-0000-fdc6782af7b2cede.parquet",
-      "sha256": "fdc6782af7b2cede6e82dcdd2870ddbe9b476900a0076b7f0c6ce3dd4c9ced99",
-      "bytes": 28834,
-      "rows": 1,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62425",
     "goedel_workbook:lean_workbook_plus_62438",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024620.lean\",\"7351d075ec649f2dad2b6566389ced2a831d14e29c9b9f949a7a50579b351c9f\",0,\"lean_workbook_plus_6250\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024624.lean\",\"1068b2e6a24abb1c9e6b935d362cd49fe3115bf9dbcf18849db760243f0cdef8\",0,\"lean_workbook_plus_62516\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95436,
+      "path": "data/train/p8d/goedel_workbook-000984-0000-c42d9f57fa4717ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "c42d9f57fa4717acd988dd55a267624379baec1fa0d4597a82123faff2684608"
+    },
+    {
+      "bytes": 28834,
+      "path": "data/dev/p8d/goedel_workbook-000984-0000-fdc6782af7b2cede.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fdc6782af7b2cede6e82dcdd2870ddbe9b476900a0076b7f0c6ce3dd4c9ced99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000985.json b/manifests/batches/goedel_workbook/000985.json
index d0efa327c959e26971e177c0d6b02eb114d1491a..9b32785d5a1280756e193a290b0684cebd05f23c 100644
--- a/manifests/batches/goedel_workbook/000985.json
+++ b/manifests/batches/goedel_workbook/000985.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000985",
   "batch_fingerprint": "3f86987e7525415e2be5a96a0da40b67e4ea34b8e60817e088186cf8603cbf43",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000985-0000-53c0724527a0ef77.parquet",
-      "sha256": "53c0724527a0ef7726c9a97f2946b24003dbc245dab8a34a3e61009caf400398",
-      "bytes": 170682,
-      "rows": 45,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000985-0000-db5248db426814f0.parquet",
-      "sha256": "db5248db426814f02562e8a831ece0a846166ed20bd809b95a39afbc0843e37b",
-      "bytes": 33071,
-      "rows": 1,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62529",
     "goedel_workbook:lean_workbook_plus_62537",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024645.lean\",\"8de38bf8de52b3eee1f610e7a45c594ac3dae50a96f018eae81effeb0b6e7602\",0,\"lean_workbook_plus_62631\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024647.lean\",\"662234acb215de82f79300a7b0306fdb812fe028712e6e92fbe85ae424bd291d\",0,\"lean_workbook_plus_62640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170682,
+      "path": "data/train/p82/goedel_workbook-000985-0000-53c0724527a0ef77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "53c0724527a0ef7726c9a97f2946b24003dbc245dab8a34a3e61009caf400398"
+    },
+    {
+      "bytes": 33071,
+      "path": "data/dev/p82/goedel_workbook-000985-0000-db5248db426814f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "db5248db426814f02562e8a831ece0a846166ed20bd809b95a39afbc0843e37b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000986.json b/manifests/batches/goedel_workbook/000986.json
index 20d13468c62a88cd1256471a45803958a0886791..49824d9d1a5e42d6a5d0609b91464a99bfb3504e 100644
--- a/manifests/batches/goedel_workbook/000986.json
+++ b/manifests/batches/goedel_workbook/000986.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000986",
   "batch_fingerprint": "7044a2069618517d69cb0c3bdbc60a5f2caf39cdf2be04f8eeec446e580449fb",
   "evidence": {
@@ -190,36 +189,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000986-0000-fef5b60577147331.parquet",
-      "sha256": "fef5b60577147331660800762ef1284a45471229d01abf478aa29728af136a05",
-      "bytes": 291140,
-      "rows": 34,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000986-0000-370abfe2d9efc492.parquet",
-      "sha256": "370abfe2d9efc4926b71df50a289229e6b64be4fceab42099f491faba6e2da62",
-      "bytes": 39405,
-      "rows": 1,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000986-0000-9e44ddb5c118e773.parquet",
-      "sha256": "9e44ddb5c118e773e6c31afd51ceca19546cee530da37d208624213f4ad8f117",
-      "bytes": 28930,
-      "rows": 2,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-000986-0000-b083cdbeed8950db.parquet",
-      "sha256": "b083cdbeed8950dbfd05518d3b10f3c91120d4c90b5022267c9f5b04e05a1d1e",
-      "bytes": 31121,
-      "rows": 2,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62659",
     "goedel_workbook:lean_workbook_plus_6266",
@@ -255,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024671.lean\",\"da1525d35fce6474ff5d7bd5aeb89358cbfa95885139ebccb44230099554b233\",0,\"lean_workbook_plus_62735\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024672.lean\",\"715da617804abc5926396085e08de37d6fd0ca8209156f82e6acc7bc0ce29d9d\",0,\"lean_workbook_plus_6275\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024674.lean\",\"d4848bb2e2ecc1fd99a250fb02e70610cb2140631df2b870f791a0f4f57478b9\",0,\"lean_workbook_plus_62752\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291140,
+      "path": "data/train/pf1/goedel_workbook-000986-0000-fef5b60577147331.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fef5b60577147331660800762ef1284a45471229d01abf478aa29728af136a05"
+    },
+    {
+      "bytes": 39405,
+      "path": "data/dev/pf1/goedel_workbook-000986-0000-370abfe2d9efc492.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "370abfe2d9efc4926b71df50a289229e6b64be4fceab42099f491faba6e2da62"
+    },
+    {
+      "bytes": 28930,
+      "path": "data/internal_test/pf1/goedel_workbook-000986-0000-9e44ddb5c118e773.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9e44ddb5c118e773e6c31afd51ceca19546cee530da37d208624213f4ad8f117"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000987.json b/manifests/batches/goedel_workbook/000987.json
index ed994ca7b273dd14b2a87b6cd3b2d25d791ea1ad..bea07a03478c4774a85016a1f4ccf7d02e268786 100644
--- a/manifests/batches/goedel_workbook/000987.json
+++ b/manifests/batches/goedel_workbook/000987.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000987",
   "batch_fingerprint": "a9a5bb004e6b5efd33ad46580701d4b428c8d15c759b3085b30348a8c101bfa5",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000987-0000-650fb63840daedf4.parquet",
-      "sha256": "650fb63840daedf4ac02baa9cececfad7e5e711f5602528fd23b0e17af1fe3a1",
-      "bytes": 163862,
-      "rows": 38,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000987-0000-251068fb03b5dddf.parquet",
-      "sha256": "251068fb03b5dddf922d64e718bee88686efcdaf28a7e196decd7a12df384081",
-      "bytes": 41787,
-      "rows": 3,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000987-0000-c4310bed1cacda0a.parquet",
-      "sha256": "c4310bed1cacda0a3bbb55bc3592af555fe6cb79dc9e0bad8b1f3f54964e4a8e",
-      "bytes": 28904,
-      "rows": 1,
-      "revision": "208d61540af9c1064f7033a9bad3c3d6374c43fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62755",
     "goedel_workbook:lean_workbook_plus_62765",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024695.lean\",\"bb92e4f1afd835c23aa749d1167fdc36fac4d20fef874eb5b77afa9cfbf73482\",0,\"lean_workbook_plus_62844\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024696.lean\",\"463d4a157359cc8a1b522128d1cbef588331dd11e96ab1a5a37cb2dc04bb1e17\",0,\"lean_workbook_plus_62848\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024698.lean\",\"4d982448e59f35272339b530a8c5fd420a4b06dcffc68064c66339898991844e\",0,\"lean_workbook_plus_62853\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163862,
+      "path": "data/train/p8e/goedel_workbook-000987-0000-650fb63840daedf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "650fb63840daedf4ac02baa9cececfad7e5e711f5602528fd23b0e17af1fe3a1"
+    },
+    {
+      "bytes": 41787,
+      "path": "data/dev/p8e/goedel_workbook-000987-0000-251068fb03b5dddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "251068fb03b5dddf922d64e718bee88686efcdaf28a7e196decd7a12df384081"
+    },
+    {
+      "bytes": 28904,
+      "path": "data/internal_test/p8e/goedel_workbook-000987-0000-c4310bed1cacda0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c4310bed1cacda0a3bbb55bc3592af555fe6cb79dc9e0bad8b1f3f54964e4a8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000988.json b/manifests/batches/goedel_workbook/000988.json
index 560967a16874ddc1b91ce14b13ec1a65bada1a0f..58318daff47bf4cfa2179f60d0f2177e98c78d8e 100644
--- a/manifests/batches/goedel_workbook/000988.json
+++ b/manifests/batches/goedel_workbook/000988.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000988",
   "batch_fingerprint": "39ad127700e5c72ce608003d7f502ec5f1b0436acc396b86510e3e77686a52ee",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000988-0000-9ceac2f0f2cd3361.parquet",
-      "sha256": "9ceac2f0f2cd336108f18b3db1c13d72407c369732f9497413056f970bd111d4",
-      "bytes": 111241,
-      "rows": 28,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000988-0000-75fe5b490d186a05.parquet",
-      "sha256": "75fe5b490d186a052173a243d2aa71521ec9611b4fa266a08a5455ef34523cd5",
-      "bytes": 41292,
-      "rows": 3,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000988-0000-a5c34cd07aed087e.parquet",
-      "sha256": "a5c34cd07aed087eb2d70960d8fcdd2e2cc434130c5f4c9ea59f03e92a10d739",
-      "bytes": 71565,
-      "rows": 12,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62883",
     "goedel_workbook:lean_workbook_plus_62898",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024722.lean\",\"a051ec2718fc7b52b6f6975431bde6788c641e6cc7f11dd7a6c09dd9341f44d2\",0,\"lean_workbook_plus_62963\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024723.lean\",\"badfa395eb3d43cc89dfa8ecd798129be45e3f370d6e4eec31b909c18d167952\",0,\"lean_workbook_plus_62964\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024724.lean\",\"9111aa1f6933adfa9eda42481ad95d4c6327e843c818d1fc2bab9e59ea9109fb\",0,\"lean_workbook_plus_62965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111241,
+      "path": "data/train/p91/goedel_workbook-000988-0000-9ceac2f0f2cd3361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "9ceac2f0f2cd336108f18b3db1c13d72407c369732f9497413056f970bd111d4"
+    },
+    {
+      "bytes": 41292,
+      "path": "data/dev/p91/goedel_workbook-000988-0000-75fe5b490d186a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "75fe5b490d186a052173a243d2aa71521ec9611b4fa266a08a5455ef34523cd5"
+    },
+    {
+      "bytes": 71565,
+      "path": "data/internal_test/p91/goedel_workbook-000988-0000-a5c34cd07aed087e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a5c34cd07aed087eb2d70960d8fcdd2e2cc434130c5f4c9ea59f03e92a10d739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000989.json b/manifests/batches/goedel_workbook/000989.json
index 6a2bca1f1171c9cdc29c59b1fea2afb11b3702f4..16cde2e52df513b98596f0eb148db4b2aeeffa67 100644
--- a/manifests/batches/goedel_workbook/000989.json
+++ b/manifests/batches/goedel_workbook/000989.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000989",
   "batch_fingerprint": "6a283b6e11e564be17976b12ba553d247fab217f0035dcdf4e4b0e2a8507895c",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000989-0000-98eba89e1b31c57e.parquet",
-      "sha256": "98eba89e1b31c57ee3fa0d9832c1277140dc86b101895a865bd11aa1c9220cda",
-      "bytes": 139705,
-      "rows": 37,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000989-0000-c8ed3b493a15b20a.parquet",
-      "sha256": "c8ed3b493a15b20a960bd97b837c9dce15d739e441212fcc639e36ecdc29422d",
-      "bytes": 40704,
-      "rows": 7,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000989-0000-d36e0e6b3f9e5419.parquet",
-      "sha256": "d36e0e6b3f9e54193888f2a40842e29a6d5d23a2a4729e6930329978f30b787d",
-      "bytes": 34705,
-      "rows": 2,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_62967",
     "goedel_workbook:lean_workbook_plus_62975",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024743.lean\",\"860eac8ab6241673d5ff2ec8d9db1c4a48d4b303480da11156f656d03c28b797\",0,\"lean_workbook_plus_63067\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024748.lean\",\"4481946c12501f583cecefe223a3411954633de5cf6ce872e891394ad803d83a\",0,\"lean_workbook_plus_63088\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024749.lean\",\"c2ffb27a5bf2025c4d7884dcb85357e57b2370acfb1fd6a6c837144a3ba8ab0c\",0,\"lean_workbook_plus_63099\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139705,
+      "path": "data/train/pd0/goedel_workbook-000989-0000-98eba89e1b31c57e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "98eba89e1b31c57ee3fa0d9832c1277140dc86b101895a865bd11aa1c9220cda"
+    },
+    {
+      "bytes": 40704,
+      "path": "data/dev/pd0/goedel_workbook-000989-0000-c8ed3b493a15b20a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c8ed3b493a15b20a960bd97b837c9dce15d739e441212fcc639e36ecdc29422d"
+    },
+    {
+      "bytes": 34705,
+      "path": "data/internal_test/pd0/goedel_workbook-000989-0000-d36e0e6b3f9e5419.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d36e0e6b3f9e54193888f2a40842e29a6d5d23a2a4729e6930329978f30b787d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000990.json b/manifests/batches/goedel_workbook/000990.json
index d0180105459e245fa3f80e9dcab65b68c5cec3d8..362814eea989e8b5f793688ee03297d18f9319c5 100644
--- a/manifests/batches/goedel_workbook/000990.json
+++ b/manifests/batches/goedel_workbook/000990.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000990",
   "batch_fingerprint": "d2485af08fa3189a4498d49204d13348a97bfd3eff784ae291e5a9a187107c34",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000990-0000-8749ef5e92a0ff67.parquet",
-      "sha256": "8749ef5e92a0ff67d180e9f2a1cf491f0c778c3b13a9e52e248d66d8be6875af",
-      "bytes": 198858,
-      "rows": 47,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_631",
     "goedel_workbook:lean_workbook_plus_63101",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024768.lean\",\"b3e72b81e06ca6a3fba9050414434c2b12618f80927c13b4a68c3e087f2ae3d5\",0,\"lean_workbook_plus_63174\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024771.lean\",\"33380f26e0fea065383b940f7798f27c297dbde281fb91eb8f479a4c9387a62e\",0,\"lean_workbook_plus_63193\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024773.lean\",\"004af19c6b0d0f6b69e60eccf3187e1e52acd1a1a7cd777a6ac0b0cae3859f9d\",0,\"lean_workbook_plus_63204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198858,
+      "path": "data/train/p14/goedel_workbook-000990-0000-8749ef5e92a0ff67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "8749ef5e92a0ff67d180e9f2a1cf491f0c778c3b13a9e52e248d66d8be6875af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000991.json b/manifests/batches/goedel_workbook/000991.json
index 73f7484f2516a74cd01837e5c97706798e44ea63..f02623bcb1f38dc0a980fe6f18273dfada3d1f2f 100644
--- a/manifests/batches/goedel_workbook/000991.json
+++ b/manifests/batches/goedel_workbook/000991.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000991",
   "batch_fingerprint": "be0f2931683457f296ae683dda2f60c5ea79d94cdc58222543efe559821ae5be",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000991-0000-adaae4d65058f9f8.parquet",
-      "sha256": "adaae4d65058f9f836461e27686a3cdbce311e2c41af58a025849742f6d44209",
-      "bytes": 257031,
-      "rows": 70,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000991-0000-a9403ff93a9d202b.parquet",
-      "sha256": "a9403ff93a9d202b555f43cb63fad2444c7bdaa9245e61bedd713c6bb426fd80",
-      "bytes": 84327,
-      "rows": 28,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63229",
     "goedel_workbook:lean_workbook_plus_63233",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024797.lean\",\"6919534bb17822ce618ed3bd0e9a10097b0a6d58220539c3886f6ad32bece8f2\",0,\"lean_workbook_plus_63307\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024798.lean\",\"06bdb12654a265c0f1bc129b024a423b87f762d06e8b8c5e3906f031e978336a\",0,\"lean_workbook_plus_6331\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024799.lean\",\"40d48959bbcb62f5dc9f777701b207ca2490997fe9e115d30a77b542388d6086\",0,\"lean_workbook_plus_63312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257031,
+      "path": "data/train/p38/goedel_workbook-000991-0000-adaae4d65058f9f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "adaae4d65058f9f836461e27686a3cdbce311e2c41af58a025849742f6d44209"
+    },
+    {
+      "bytes": 84327,
+      "path": "data/dev/p38/goedel_workbook-000991-0000-a9403ff93a9d202b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a9403ff93a9d202b555f43cb63fad2444c7bdaa9245e61bedd713c6bb426fd80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000992.json b/manifests/batches/goedel_workbook/000992.json
index c113ceef8095f69eb730052d5eff8680ea43bc83..01b4f135fc768c798f4792270f9fb12d6500c558 100644
--- a/manifests/batches/goedel_workbook/000992.json
+++ b/manifests/batches/goedel_workbook/000992.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000992",
   "batch_fingerprint": "fc0b7fc41f30cfebb01ffd7acb6f4fd3e3924a16b18d79255e839b5798ba444e",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000992-0000-9ac5bd6b5bd0a067.parquet",
-      "sha256": "9ac5bd6b5bd0a067dcf3d7758f6b6d4029326184eba81af1f7e7a186581de734",
-      "bytes": 131501,
-      "rows": 31,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000992-0000-363e1fda03f2433f.parquet",
-      "sha256": "363e1fda03f2433f434211eab95535edcc392478f002e1b18c7ef42f2f4da48d",
-      "bytes": 34474,
-      "rows": 3,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63316",
     "goedel_workbook:lean_workbook_plus_63317",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024818.lean\",\"5bec6a4bb5724154856f8a8d63af59091f08420d3822e60e5637cc08e3d9008c\",0,\"lean_workbook_plus_63378\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024819.lean\",\"191b5b9baf16be00f0efe0185dc0c37bdea396f1025709fc36e14d463df322bd\",0,\"lean_workbook_plus_63386\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024821.lean\",\"ba92431ae0551b66fc89652022c1c805c599310c6594cd478b042dca7195e6b4\",0,\"lean_workbook_plus_63388\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131501,
+      "path": "data/train/ped/goedel_workbook-000992-0000-9ac5bd6b5bd0a067.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9ac5bd6b5bd0a067dcf3d7758f6b6d4029326184eba81af1f7e7a186581de734"
+    },
+    {
+      "bytes": 34474,
+      "path": "data/internal_test/ped/goedel_workbook-000992-0000-363e1fda03f2433f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "363e1fda03f2433f434211eab95535edcc392478f002e1b18c7ef42f2f4da48d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000993.json b/manifests/batches/goedel_workbook/000993.json
index a90543486fd47c16b86b7c50fa4ff482317c2b18..a4f16a5e20a8aec8dfb530eba9795808c0872ab2 100644
--- a/manifests/batches/goedel_workbook/000993.json
+++ b/manifests/batches/goedel_workbook/000993.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000993",
   "batch_fingerprint": "ea029224d916bf5f30d3d9dc6c87997ce30e813f254c9638ac6bd8aba0f34a10",
   "evidence": {
@@ -136,29 +135,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000993-0000-da32b92eb5e1a860.parquet",
-      "sha256": "da32b92eb5e1a860cd026c2de268d6f0fe92d74e24d8d1dce5e5ad0eebfc88d0",
-      "bytes": 109620,
-      "rows": 28,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000993-0000-13c9a6dbe597fa6a.parquet",
-      "sha256": "13c9a6dbe597fa6a843d4f6f1f97efbf766800ccc8724f7c713ac9cd9de118ee",
-      "bytes": 37919,
-      "rows": 2,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000993-0000-2cb9840a79b02567.parquet",
-      "sha256": "2cb9840a79b025676b1e55952736a4ffce9d4834e5d704868154c703eac6064c",
-      "bytes": 45651,
-      "rows": 2,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63403",
     "goedel_workbook:lean_workbook_plus_63404",
@@ -200,5 +177,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024847.lean\",\"f7b9de85a2ef17ce7f6a459b20ce5c79fbaa6297b2d28c5c33122d5960ab27bb\",0,\"lean_workbook_plus_63476\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024848.lean\",\"63906a1ac32c61b1d39fb419fb78fc562d8a3463a3a996afe41d5d58bfadc8bb\",0,\"lean_workbook_plus_63477\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024849.lean\",\"279488f1eb6b7d767380155637ee813095b5e10e656a53c2fd198987a8901d70\",0,\"lean_workbook_plus_63479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109620,
+      "path": "data/train/p98/goedel_workbook-000993-0000-da32b92eb5e1a860.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "da32b92eb5e1a860cd026c2de268d6f0fe92d74e24d8d1dce5e5ad0eebfc88d0"
+    },
+    {
+      "bytes": 37919,
+      "path": "data/dev/p98/goedel_workbook-000993-0000-13c9a6dbe597fa6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "13c9a6dbe597fa6a843d4f6f1f97efbf766800ccc8724f7c713ac9cd9de118ee"
+    },
+    {
+      "bytes": 45651,
+      "path": "data/internal_test/p98/goedel_workbook-000993-0000-2cb9840a79b02567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2cb9840a79b025676b1e55952736a4ffce9d4834e5d704868154c703eac6064c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000994.json b/manifests/batches/goedel_workbook/000994.json
index b7d9da45ddc776dd169763d8a64aedab129c68b2..3d075be29fd38c70bd49ef71dbff085503820353 100644
--- a/manifests/batches/goedel_workbook/000994.json
+++ b/manifests/batches/goedel_workbook/000994.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000994",
   "batch_fingerprint": "01c213c3e9a815b83b969ef81703bef18d17168bc03028577b4e169b594e0756",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000994-0000-c647459ce5002705.parquet",
-      "sha256": "c647459ce5002705f9e8897a75b3d386a137ab9065b206cf184f9019d51108ee",
-      "bytes": 96738,
-      "rows": 29,
-      "revision": "d7502b71f1eeab793f8e051addd9458d1b721a23"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000994-0000-cba6679e767e8e48.parquet",
-      "sha256": "cba6679e767e8e48c060e8bd4d2b12e371e8abfb2de8ce7f21506f7c44508878",
-      "bytes": 53851,
-      "rows": 1,
-      "revision": "d7502b71f1eeab793f8e051addd9458d1b721a23"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63484",
     "goedel_workbook:lean_workbook_plus_63494",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024870.lean\",\"3b29bb939a317760dbe5da8288e3bbc6b296913471e0488270dd81538a266eae\",0,\"lean_workbook_plus_63559\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024873.lean\",\"debdf175c9eac95249ebd7d920d1d79b270d09f010f1db00d8cc816050a4603e\",0,\"lean_workbook_plus_6357\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024874.lean\",\"279a2f7552b09d5fb526b5912c0ce88d2d8d993edadad7e19b1b3070d97a3940\",0,\"lean_workbook_plus_63572\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96738,
+      "path": "data/train/p0c/goedel_workbook-000994-0000-c647459ce5002705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c647459ce5002705f9e8897a75b3d386a137ab9065b206cf184f9019d51108ee"
+    },
+    {
+      "bytes": 53851,
+      "path": "data/internal_test/p0c/goedel_workbook-000994-0000-cba6679e767e8e48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cba6679e767e8e48c060e8bd4d2b12e371e8abfb2de8ce7f21506f7c44508878"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000995.json b/manifests/batches/goedel_workbook/000995.json
index 2520a3d42c017b76414f54776e929f3a874467d7..3d207245098f78973aef7a5db52c62899537901e 100644
--- a/manifests/batches/goedel_workbook/000995.json
+++ b/manifests/batches/goedel_workbook/000995.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000995",
   "batch_fingerprint": "a1e6f7329cc291ca2fadc3fbafbb515794c6481b2cf233a714ed379078a09b05",
   "evidence": {
@@ -254,22 +253,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000995-0000-c2146c0f1af1a1ec.parquet",
-      "sha256": "c2146c0f1af1a1ece9d63ff2d13e37dce11d979963db95ad997e1ff88277174f",
-      "bytes": 133056,
-      "rows": 34,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000995-0000-f9f4eb743b7374cd.parquet",
-      "sha256": "f9f4eb743b7374cd2516a11ad291d6552a9d2d82ee23aa406abd6b4d7b6a29eb",
-      "bytes": 43526,
-      "rows": 2,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63581",
     "goedel_workbook:lean_workbook_plus_63599",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024894.lean\",\"1a6f87c439281eac17bdb5923eb9c5fe16d776bfd39bfa320122d6aa8421195e\",0,\"lean_workbook_plus_6366\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024897.lean\",\"0b4c055dc63884f1e26d224e257dad2edd8e271185e827d17e0cee6254bd0fe9\",0,\"lean_workbook_plus_63668\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024899.lean\",\"fa6c8c808c8ec536a1cc6b75f83d82c49622c7903168cc60486cd7b07d1c89d4\",0,\"lean_workbook_plus_63674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133056,
+      "path": "data/train/pc5/goedel_workbook-000995-0000-c2146c0f1af1a1ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "c2146c0f1af1a1ece9d63ff2d13e37dce11d979963db95ad997e1ff88277174f"
+    },
+    {
+      "bytes": 43526,
+      "path": "data/internal_test/pc5/goedel_workbook-000995-0000-f9f4eb743b7374cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f9f4eb743b7374cd2516a11ad291d6552a9d2d82ee23aa406abd6b4d7b6a29eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000996.json b/manifests/batches/goedel_workbook/000996.json
index c32b392250e5ee5de90b379d53729eeb30226f47..147eba25a0bc07e480de78e421bb0908bf76d7a4 100644
--- a/manifests/batches/goedel_workbook/000996.json
+++ b/manifests/batches/goedel_workbook/000996.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000996",
   "batch_fingerprint": "8e49d4db4f687e2912c01014be53aba2bd959017a35b28d557c360fdc13492ac",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000996-0000-2b1782fd42da336d.parquet",
-      "sha256": "2b1782fd42da336dc2d615ff0481ec548d2eb66acaa9c2d93cb579f6ce0a29d0",
-      "bytes": 163587,
-      "rows": 38,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000996-0000-97289eae597c8728.parquet",
-      "sha256": "97289eae597c87286c4884750b34556ed8b96ce8f1413292320887d950b9a46c",
-      "bytes": 33404,
-      "rows": 2,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63678",
     "goedel_workbook:lean_workbook_plus_63680",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024922.lean\",\"5af1ab7f20cfec08d62bde9c3b48d8e2eef15fe5858f41024e38387d1787de96\",0,\"lean_workbook_plus_63763\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024923.lean\",\"3cf4491801dd421bc886771ae6940d2e19666c7bff9e114d0d810d722a2e0a42\",0,\"lean_workbook_plus_63764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024924.lean\",\"ea789b5b56213a5d4d9020e7c32ebe23523275a71e2a11081e9efcb3d4158a27\",0,\"lean_workbook_plus_63768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163587,
+      "path": "data/train/pbf/goedel_workbook-000996-0000-2b1782fd42da336d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "2b1782fd42da336dc2d615ff0481ec548d2eb66acaa9c2d93cb579f6ce0a29d0"
+    },
+    {
+      "bytes": 33404,
+      "path": "data/dev/pbf/goedel_workbook-000996-0000-97289eae597c8728.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "97289eae597c87286c4884750b34556ed8b96ce8f1413292320887d950b9a46c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000997.json b/manifests/batches/goedel_workbook/000997.json
index f46759a2c08aee605fe0969b7cd72e2e76f1ed65..3c8f9894c1c2c66e11490395137a76ab253a57a6 100644
--- a/manifests/batches/goedel_workbook/000997.json
+++ b/manifests/batches/goedel_workbook/000997.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000997",
   "batch_fingerprint": "68b13e8086fbb85485595712cdf4d625f49e89db8a3907bc1b433af69d48fc3d",
   "evidence": {
@@ -110,22 +109,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000997-0000-2332408308efbe11.parquet",
-      "sha256": "2332408308efbe11c6c8824623dd830aceff633773b70fdde54e2667940c3d31",
-      "bytes": 167275,
-      "rows": 42,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000997-0000-54a06bc16b4de768.parquet",
-      "sha256": "54a06bc16b4de768246396ee95b89abe55e0b24f30b5fd6f9ea6621d3afe15d8",
-      "bytes": 49620,
-      "rows": 5,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63773",
     "goedel_workbook:lean_workbook_plus_63795",
@@ -169,5 +153,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024947.lean\",\"bdbb20621c0bfabdc5d0476d1f47e6911cc44d470993e3f0f438fdc78b89195b\",0,\"lean_workbook_plus_63880\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024948.lean\",\"45e46386c69d2f382835232b07d83157d13555fe04c9ac785f9dd360ffd929ed\",0,\"lean_workbook_plus_63881\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024949.lean\",\"ac7a9c9fa8b457616c91148c72e54e4c780a5cc6164ff440c6fe3052849fbcc7\",0,\"lean_workbook_plus_63887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167275,
+      "path": "data/train/p3f/goedel_workbook-000997-0000-2332408308efbe11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "2332408308efbe11c6c8824623dd830aceff633773b70fdde54e2667940c3d31"
+    },
+    {
+      "bytes": 49620,
+      "path": "data/internal_test/p3f/goedel_workbook-000997-0000-54a06bc16b4de768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "54a06bc16b4de768246396ee95b89abe55e0b24f30b5fd6f9ea6621d3afe15d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000998.json b/manifests/batches/goedel_workbook/000998.json
index 15494ffe4b3f2a3a0ad0b7730c5334ebd60e2cc7..0a32167b3e564edb2a85572b1e0c19eee59b93fb 100644
--- a/manifests/batches/goedel_workbook/000998.json
+++ b/manifests/batches/goedel_workbook/000998.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000998",
   "batch_fingerprint": "8f53342c8869005ccc4d6df0f36a27cb5c1a5fec9d6577168348edb99e43c103",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000998-0000-facb6aa9140148c3.parquet",
-      "sha256": "facb6aa9140148c337e6799690eb9d3c80d2345ba2ca9cb0bdf163d9bfde6a58",
-      "bytes": 217615,
-      "rows": 40,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/dev/goedel_workbook-000998-0000-5cbc1dfb5203476a.parquet",
-      "sha256": "5cbc1dfb5203476ad3c6383cde6786b2ffcccf1252d96b296e27b6d81afee6b7",
-      "bytes": 29765,
-      "rows": 1,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000998-0000-879a7b91c13c7059.parquet",
-      "sha256": "879a7b91c13c705955253aef0d5aa700165af77a1088fc4ffa1eef71af4cb864",
-      "bytes": 50966,
-      "rows": 14,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63888",
     "goedel_workbook:lean_workbook_plus_63906",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024969.lean\",\"af0ac5ee4a543d3d217fab5db72a759f7916520a63d85aaa2ebcbad1fead6a64\",0,\"lean_workbook_plus_63961\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024971.lean\",\"075c104272ce250c3f5fd0a2669f30cca388f92c51936440639a4ae3acf601c3\",0,\"lean_workbook_plus_63964\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024972.lean\",\"9580bdbc299786e7d8b1402b1002240ca9837408460e6c4c08fd01a1e9ea501a\",0,\"lean_workbook_plus_63979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217615,
+      "path": "data/train/p3b/goedel_workbook-000998-0000-facb6aa9140148c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "facb6aa9140148c337e6799690eb9d3c80d2345ba2ca9cb0bdf163d9bfde6a58"
+    },
+    {
+      "bytes": 29765,
+      "path": "data/dev/p3b/goedel_workbook-000998-0000-5cbc1dfb5203476a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5cbc1dfb5203476ad3c6383cde6786b2ffcccf1252d96b296e27b6d81afee6b7"
+    },
+    {
+      "bytes": 50966,
+      "path": "data/internal_test/p3b/goedel_workbook-000998-0000-879a7b91c13c7059.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "879a7b91c13c705955253aef0d5aa700165af77a1088fc4ffa1eef71af4cb864"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/000999.json b/manifests/batches/goedel_workbook/000999.json
index 0d9752d3a34c91b452d6c365b741e1fdaa6ff6d6..9d4d5c78ae1ac5f718421055a3dbcee146380b00 100644
--- a/manifests/batches/goedel_workbook/000999.json
+++ b/manifests/batches/goedel_workbook/000999.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/000999",
   "batch_fingerprint": "74cc1add682d6957cfc8933d17dd07e62e25184afa708447c0586980a6578f88",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-000999-0000-8a88de223f80ac3c.parquet",
-      "sha256": "8a88de223f80ac3c9386c52fa623204f6e23305f22db86d07f476f6f1beefb01",
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-      "rows": 52,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
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-      "path": "data/dev/goedel_workbook-000999-0000-109a6397f2ca41e4.parquet",
-      "sha256": "109a6397f2ca41e4428c5a1b12586dc51b0bec2c598d4217ad296571e1b4f777",
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-      "rows": 4,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-000999-0000-12e9ff27bc3e9983.parquet",
-      "sha256": "12e9ff27bc3e99835fd164c729d53f07071813dd1dce6a81113280d332f2a3b8",
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-      "rows": 7,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_63992",
     "goedel_workbook:lean_workbook_plus_63999",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_024997.lean\",\"a88d96ccdd4f2196b89d43974aa6e4901cfdc570e4b15577f10e0652219d27eb\",0,\"lean_workbook_plus_64081\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 189063,
+      "path": "data/train/p84/goedel_workbook-000999-0000-8a88de223f80ac3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "8a88de223f80ac3c9386c52fa623204f6e23305f22db86d07f476f6f1beefb01"
+    },
+    {
+      "bytes": 52379,
+      "path": "data/dev/p84/goedel_workbook-000999-0000-109a6397f2ca41e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "109a6397f2ca41e4428c5a1b12586dc51b0bec2c598d4217ad296571e1b4f777"
+    },
+    {
+      "bytes": 36688,
+      "path": "data/internal_test/p84/goedel_workbook-000999-0000-12e9ff27bc3e9983.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "12e9ff27bc3e99835fd164c729d53f07071813dd1dce6a81113280d332f2a3b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001000.json b/manifests/batches/goedel_workbook/001000.json
index 98075bc371c138b2faf8f57f227a9a6e9228ddde..61fd95f54e9477f57bb7d633b6a0a944cd7a264d 100644
--- a/manifests/batches/goedel_workbook/001000.json
+++ b/manifests/batches/goedel_workbook/001000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001000",
   "batch_fingerprint": "29d912fca8d1c2e880cf209cafff6a1171a4c25db8d64da2b6ca07765229d596",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001000-0000-86720c17b864d14d.parquet",
-      "sha256": "86720c17b864d14dd55f2f67c73c1c435a5103d38c4b70724772cb5ed3f11939",
-      "bytes": 88067,
-      "rows": 28,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001000-0000-327454a7871fe977.parquet",
-      "sha256": "327454a7871fe9777247a297d02669114eccbb432e7b24b90c225ec4cf616da5",
-      "bytes": 45346,
-      "rows": 5,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64095",
     "goedel_workbook:lean_workbook_plus_64100",
@@ -264,5 +248,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 88067,
+      "path": "data/train/p76/goedel_workbook-001000-0000-86720c17b864d14d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "86720c17b864d14dd55f2f67c73c1c435a5103d38c4b70724772cb5ed3f11939"
+    },
+    {
+      "bytes": 45346,
+      "path": "data/internal_test/p76/goedel_workbook-001000-0000-327454a7871fe977.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "327454a7871fe9777247a297d02669114eccbb432e7b24b90c225ec4cf616da5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001001.json b/manifests/batches/goedel_workbook/001001.json
index 1097498342b4da9db99d62fabff5fc56f1a95956..a2983024909bd7c00d75cbcbb788e6e1109056b4 100644
--- a/manifests/batches/goedel_workbook/001001.json
+++ b/manifests/batches/goedel_workbook/001001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001001",
   "batch_fingerprint": "9cc9a1c45186f9fdd2f14b8fd9aa5c5ce5ff617324d976b9fa52d69f80cc7dfc",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001001-0000-423770904a5fb43d.parquet",
-      "sha256": "423770904a5fb43ddc68a8463c4f0a82d9de7e25106038f8103cd78274a241a0",
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-      "rows": 35,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001001-0000-b4f59f3fe9c8644a.parquet",
-      "sha256": "b4f59f3fe9c8644a97358032307150526df6cca51409279840ee147e8740dd34",
-      "bytes": 34919,
-      "rows": 1,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64266",
     "goedel_workbook:lean_workbook_plus_64280",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025046.lean\",\"105d0915d2e8b0a2c807fc4f477a858dfc4f849fa82e74335b6417e1e8a3aeaf\",0,\"lean_workbook_plus_64335\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025048.lean\",\"7065d22e0b853025d9e459d24538ae89a4e7bea0254f68682ff6217d05a5ca5a\",0,\"lean_workbook_plus_64343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163136,
+      "path": "data/train/ped/goedel_workbook-001001-0000-423770904a5fb43d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "423770904a5fb43ddc68a8463c4f0a82d9de7e25106038f8103cd78274a241a0"
+    },
+    {
+      "bytes": 34919,
+      "path": "data/dev/ped/goedel_workbook-001001-0000-b4f59f3fe9c8644a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b4f59f3fe9c8644a97358032307150526df6cca51409279840ee147e8740dd34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001002.json b/manifests/batches/goedel_workbook/001002.json
index bc9fa1f9ec885e0014b829f2d550bebb0b70063b..08123e8c02b37048862611f5c34215f4af745c4a 100644
--- a/manifests/batches/goedel_workbook/001002.json
+++ b/manifests/batches/goedel_workbook/001002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001002",
   "batch_fingerprint": "8234749144f5e6f84a3f792952135a85b9ed174a9b857a9c4ac16000c1a058de",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001002-0000-0292ac6f141d81a8.parquet",
-      "sha256": "0292ac6f141d81a82c7a21bceefee7262b7b02698ca84d390ce70ca0e3f2911b",
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-      "rows": 52,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001002-0000-8fc3211003ea98a3.parquet",
-      "sha256": "8fc3211003ea98a395f7b93315ea2db47a63da509a94a9263198f51ac4044699",
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-      "rows": 1,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001002-0000-528656cb39a255c9.parquet",
-      "sha256": "528656cb39a255c9743e3d4538e8cbad0ddc623a8e496f026e7e9c261c381130",
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-      "rows": 3,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64363",
     "goedel_workbook:lean_workbook_plus_64366",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025071.lean\",\"d4d1873e7607aabb2ac4f18d14b054403f1ff05f853fb547546cbb6edde04185\",0,\"lean_workbook_plus_64418\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 246232,
+      "path": "data/train/p55/goedel_workbook-001002-0000-0292ac6f141d81a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "0292ac6f141d81a82c7a21bceefee7262b7b02698ca84d390ce70ca0e3f2911b"
+    },
+    {
+      "bytes": 32704,
+      "path": "data/dev/p55/goedel_workbook-001002-0000-8fc3211003ea98a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8fc3211003ea98a395f7b93315ea2db47a63da509a94a9263198f51ac4044699"
+    },
+    {
+      "bytes": 39794,
+      "path": "data/internal_test/p55/goedel_workbook-001002-0000-528656cb39a255c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "528656cb39a255c9743e3d4538e8cbad0ddc623a8e496f026e7e9c261c381130"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001003.json b/manifests/batches/goedel_workbook/001003.json
index e42622333e3ab6796e84094d6121d4726eb5a087..7f7c029778ada6a8e1127354f6206059a735cabe 100644
--- a/manifests/batches/goedel_workbook/001003.json
+++ b/manifests/batches/goedel_workbook/001003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001003",
   "batch_fingerprint": "ddd07a5e1d91d9bff6f1cf2788f49816c0eb0cb99dfc565ca5b88f83ebb43cd8",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001003-0000-a0f54282ba2057f2.parquet",
-      "sha256": "a0f54282ba2057f2ff805ca4fc12f73f35c882096508460616161b8f702b2863",
-      "bytes": 179896,
-      "rows": 37,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001003-0000-94ecc2e439090822.parquet",
-      "sha256": "94ecc2e43909082288c1a70d98aafe1cedead25871675fc4f07d0033b9e36246",
-      "bytes": 31398,
-      "rows": 3,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64429",
     "goedel_workbook:lean_workbook_plus_6443",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025091.lean\",\"2cabb171e8bf8d7221eeadcae812166da833885b9c8e3a7f8d2eac45baee188f\",0,\"lean_workbook_plus_64469\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025098.lean\",\"9973a542dbb96e6e5cfcc05cb409cd987620d10238426ce636002a0ea942068b\",0,\"lean_workbook_plus_64497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179896,
+      "path": "data/train/pea/goedel_workbook-001003-0000-a0f54282ba2057f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "a0f54282ba2057f2ff805ca4fc12f73f35c882096508460616161b8f702b2863"
+    },
+    {
+      "bytes": 31398,
+      "path": "data/internal_test/pea/goedel_workbook-001003-0000-94ecc2e439090822.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "94ecc2e43909082288c1a70d98aafe1cedead25871675fc4f07d0033b9e36246"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001004.json b/manifests/batches/goedel_workbook/001004.json
index 8dc204bf6d745e932bbd41935f5ab994df44f69c..048e0033cbf5134b9ba3c878e88cb3827eede3f0 100644
--- a/manifests/batches/goedel_workbook/001004.json
+++ b/manifests/batches/goedel_workbook/001004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001004",
   "batch_fingerprint": "600b082edd108fcd9bf6539278738ba69d2a5c1f4f5007f4121e610e9c85c9e6",
   "evidence": {
@@ -244,22 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001004-0000-b975bc00132f3794.parquet",
-      "sha256": "b975bc00132f379410d2b9983ce272940f4ea3ef998715ba3c4c95cec6e0b394",
-      "bytes": 138119,
-      "rows": 33,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001004-0000-12f8a989e4ac0035.parquet",
-      "sha256": "12f8a989e4ac00351bb2960d0923862763d17baaa362048d22e1177a3c461b08",
-      "bytes": 31329,
-      "rows": 1,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64522",
     "goedel_workbook:lean_workbook_plus_64524",
@@ -289,5 +273,21 @@
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025124.lean\",\"03c9f102da0d21920d101d1f45bed375f20df9f2bddaeaa8a4bb884f98718f92\",0,\"lean_workbook_plus_6462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138119,
+      "path": "data/train/pa6/goedel_workbook-001004-0000-b975bc00132f3794.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b975bc00132f379410d2b9983ce272940f4ea3ef998715ba3c4c95cec6e0b394"
+    },
+    {
+      "bytes": 31329,
+      "path": "data/dev/pa6/goedel_workbook-001004-0000-12f8a989e4ac0035.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "12f8a989e4ac00351bb2960d0923862763d17baaa362048d22e1177a3c461b08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001005.json b/manifests/batches/goedel_workbook/001005.json
index b19ffe35d3d7a1e682ba0aeb4bbfe47d4ffc6ab5..fb727572dd18c64445e7e7294cf40878f5d7e6d8 100644
--- a/manifests/batches/goedel_workbook/001005.json
+++ b/manifests/batches/goedel_workbook/001005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001005",
   "batch_fingerprint": "497a2b582cfe6e3b87ca8658740ba4d1e97a32e767c04bcc83c159e90b059b52",
   "evidence": {
@@ -236,22 +235,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001005-0000-231431ece64d4fe5.parquet",
-      "sha256": "231431ece64d4fe58f4bbd1df407c2c94fe7e0d8a1db054b7369a13031d67f31",
-      "bytes": 106674,
-      "rows": 23,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001005-0000-7510b3ed8f927a1e.parquet",
-      "sha256": "7510b3ed8f927a1ed646028ffe0855baabeffe47ca895e1e891e29d7ea0826f8",
-      "bytes": 79151,
-      "rows": 15,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64628",
     "goedel_workbook:lean_workbook_plus_64633",
@@ -281,5 +265,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025146.lean\",\"4341e6c4d60a8a7245fe6480359739d08248fa0a9b7108b4b716d0cf986ce88d\",0,\"lean_workbook_plus_64688\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025149.lean\",\"7f67bd8daea54ac2decb850b5b590eb2cc81255b2d0255bd59cedb8d3faf18a2\",0,\"lean_workbook_plus_64729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106674,
+      "path": "data/train/p0c/goedel_workbook-001005-0000-231431ece64d4fe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "231431ece64d4fe58f4bbd1df407c2c94fe7e0d8a1db054b7369a13031d67f31"
+    },
+    {
+      "bytes": 79151,
+      "path": "data/internal_test/p0c/goedel_workbook-001005-0000-7510b3ed8f927a1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7510b3ed8f927a1ed646028ffe0855baabeffe47ca895e1e891e29d7ea0826f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001006.json b/manifests/batches/goedel_workbook/001006.json
index b34001a7e57635b49253f9e41ce81833fd7dcef9..2ffeba30a55f9a02cd3aeb0ede8913f0c1957fd7 100644
--- a/manifests/batches/goedel_workbook/001006.json
+++ b/manifests/batches/goedel_workbook/001006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001006",
   "batch_fingerprint": "6523ecf3236ff8d243b8cba7f52cbc0be2677df4b378802363da7704493f617d",
   "evidence": {
@@ -55,22 +54,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001006-0000-70be2357fa95fc4a.parquet",
-      "sha256": "70be2357fa95fc4a4a0ddc25b0fff8b08f711ab11716521c1b480c79dca863b3",
-      "bytes": 192719,
-      "rows": 51,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001006-0000-7f1da292ff480639.parquet",
-      "sha256": "7f1da292ff480639fd40a721c65943161594c322c7e8e1080f5e0e1263b5c385",
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-      "rows": 11,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64734",
     "goedel_workbook:lean_workbook_plus_64735",
@@ -120,5 +104,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025172.lean\",\"ffa34fabe459f93dbedbff8b5a20056369e1016a26e9af30ee048f09a8da32f8\",0,\"lean_workbook_plus_64817\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025174.lean\",\"f67c0f69d7becbd3bb47fa3dd7187cd050de4456b856a9eaefaae8a83e350ae7\",0,\"lean_workbook_plus_64826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192719,
+      "path": "data/train/pe8/goedel_workbook-001006-0000-70be2357fa95fc4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "70be2357fa95fc4a4a0ddc25b0fff8b08f711ab11716521c1b480c79dca863b3"
+    },
+    {
+      "bytes": 58845,
+      "path": "data/dev/pe8/goedel_workbook-001006-0000-7f1da292ff480639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7f1da292ff480639fd40a721c65943161594c322c7e8e1080f5e0e1263b5c385"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001007.json b/manifests/batches/goedel_workbook/001007.json
index b752f33c359aca99deba37086d9bbd6dfc771a42..e4e9d122c9fbb110be492ee90ed36fa623005587 100644
--- a/manifests/batches/goedel_workbook/001007.json
+++ b/manifests/batches/goedel_workbook/001007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001007",
   "batch_fingerprint": "96f8d5e64cbc50564dbfdaf4fec5bf937559e09e9165d30d068819fb433984de",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001007-0000-986f89ac83ddd7d5.parquet",
-      "sha256": "986f89ac83ddd7d53ff281a0494a9436754e32dd797dd43d3af633b8486a67a1",
-      "bytes": 114391,
-      "rows": 25,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001007-0000-bb585ca3a8514369.parquet",
-      "sha256": "bb585ca3a8514369317c3916b8231f761faa884c5e448e2e14dee5dac94b5be5",
-      "bytes": 38796,
-      "rows": 2,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001007-0000-76edb5d5d5a103a9.parquet",
-      "sha256": "76edb5d5d5a103a911ad46642bf47849f831d62955c94a28384cf6293bc6db40",
-      "bytes": 36187,
-      "rows": 2,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64828",
     "goedel_workbook:lean_workbook_plus_64830",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025195.lean\",\"8e5eaea929e23b9a18ee0d1ec7632deec8b90459d0bc54a614857936dc9d7a43\",0,\"lean_workbook_plus_64916\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 114391,
+      "path": "data/train/pcc/goedel_workbook-001007-0000-986f89ac83ddd7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "986f89ac83ddd7d53ff281a0494a9436754e32dd797dd43d3af633b8486a67a1"
+    },
+    {
+      "bytes": 38796,
+      "path": "data/dev/pcc/goedel_workbook-001007-0000-bb585ca3a8514369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bb585ca3a8514369317c3916b8231f761faa884c5e448e2e14dee5dac94b5be5"
+    },
+    {
+      "bytes": 36187,
+      "path": "data/internal_test/pcc/goedel_workbook-001007-0000-76edb5d5d5a103a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "76edb5d5d5a103a911ad46642bf47849f831d62955c94a28384cf6293bc6db40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001008.json b/manifests/batches/goedel_workbook/001008.json
index cd59444e1c2f0f98f3af8bfc07475a9afcef0a48..4b618a9e4fa9da8515c6072596c99a5b3c912e45 100644
--- a/manifests/batches/goedel_workbook/001008.json
+++ b/manifests/batches/goedel_workbook/001008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001008",
   "batch_fingerprint": "2dd1bd8ef24dc92cd00e599732df2bb472e3dcf45652f46c6ff9ab047ee76039",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001008-0000-69d3c46c15355a8d.parquet",
-      "sha256": "69d3c46c15355a8d361ba3eca0430dcb100ddb077c48935c7d6146110f528d69",
-      "bytes": 231499,
-      "rows": 46,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001008-0000-95c47052b6893af2.parquet",
-      "sha256": "95c47052b6893af2e01b145ff183caad889e5bfb05f2593d53485bf258e573fd",
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-      "rows": 1,
-      "revision": "b0502673ed0c717e6f4e8fa7513325c0a5fdd6c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_64932",
     "goedel_workbook:lean_workbook_plus_64933",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025218.lean\",\"449ff1207fda7c28198170e1961332e83497a8c73e3b6e07af6065df4869823d\",0,\"lean_workbook_plus_65008\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025221.lean\",\"16a9c1e688f390f578cbf845709450eb19b939ef2406140700c3bf2692106f6f\",0,\"lean_workbook_plus_65017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231499,
+      "path": "data/train/p41/goedel_workbook-001008-0000-69d3c46c15355a8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "69d3c46c15355a8d361ba3eca0430dcb100ddb077c48935c7d6146110f528d69"
+    },
+    {
+      "bytes": 31598,
+      "path": "data/internal_test/p41/goedel_workbook-001008-0000-95c47052b6893af2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "95c47052b6893af2e01b145ff183caad889e5bfb05f2593d53485bf258e573fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001009.json b/manifests/batches/goedel_workbook/001009.json
index bce7eb551e0f5c7c15f6d5be0c26970f06d36622..c5c329e82fd58eea16e597c88fa7e3a7832957d7 100644
--- a/manifests/batches/goedel_workbook/001009.json
+++ b/manifests/batches/goedel_workbook/001009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001009",
   "batch_fingerprint": "63f43f7eb280f9d4b4a5ac5885b2a4880c11e2a5e74a842322419b28438f1ff2",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001009-0000-4ca2ebcac9cf9f2f.parquet",
-      "sha256": "4ca2ebcac9cf9f2f8c33e85a9860d325ad21271b7b58ddf451cdd623330bfa84",
-      "bytes": 111262,
-      "rows": 28,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001009-0000-769c14c46f8b4e83.parquet",
-      "sha256": "769c14c46f8b4e83da550305ed6d48c77b11fccb58f9f369556cb9f31356c30b",
-      "bytes": 72205,
-      "rows": 12,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001009-0000-d29854d5584f7804.parquet",
-      "sha256": "d29854d5584f7804fc98a73f76e32b42ebfd62195c1e0da0f0a3c45fe9486a2a",
-      "bytes": 35364,
-      "rows": 2,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65034",
     "goedel_workbook:lean_workbook_plus_65037",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025245.lean\",\"57a71a55ff219a596d12fbbc3638167600160c0f4e9c156adcc00b8f360f830c\",0,\"lean_workbook_plus_65157\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025246.lean\",\"1f43eac73e32a6a8ab783e9165f4ef534b3d30ff7935d2d00a1a85518e6273ed\",0,\"lean_workbook_plus_65163\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 111262,
+      "path": "data/train/pdb/goedel_workbook-001009-0000-4ca2ebcac9cf9f2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4ca2ebcac9cf9f2f8c33e85a9860d325ad21271b7b58ddf451cdd623330bfa84"
+    },
+    {
+      "bytes": 72205,
+      "path": "data/dev/pdb/goedel_workbook-001009-0000-769c14c46f8b4e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "769c14c46f8b4e83da550305ed6d48c77b11fccb58f9f369556cb9f31356c30b"
+    },
+    {
+      "bytes": 35364,
+      "path": "data/internal_test/pdb/goedel_workbook-001009-0000-d29854d5584f7804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d29854d5584f7804fc98a73f76e32b42ebfd62195c1e0da0f0a3c45fe9486a2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001010.json b/manifests/batches/goedel_workbook/001010.json
index 8d8bfd29859b7343bcc9f0ce901d31f61a570a66..57b847bc360df7d160885d6af0f14bd817c3a8e7 100644
--- a/manifests/batches/goedel_workbook/001010.json
+++ b/manifests/batches/goedel_workbook/001010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001010",
   "batch_fingerprint": "7f8c1be2db8528fdad5660ed480a52075b28bea2bb2941cf2cbd8d4730b3c7f8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001010-0000-0286085f17f9c03a.parquet",
-      "sha256": "0286085f17f9c03a13295dddb62737e93ff2fff112604824f1669b045c8aa4ae",
-      "bytes": 140928,
-      "rows": 36,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001010-0000-3f66a68017f1076e.parquet",
-      "sha256": "3f66a68017f1076e45dd930ef3d08ad5789201001d073ef22afcccc140c878dd",
-      "bytes": 52289,
-      "rows": 8,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65185",
     "goedel_workbook:lean_workbook_plus_65196",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025270.lean\",\"7fab79ef26b0990eb9408d2a36b220192b4127c9803c42d0e712f22669ef0322\",0,\"lean_workbook_plus_65291\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025271.lean\",\"e9116446f95b61eb6e55cea3047c2668beba2cd33dcb0479c987e3911ed5ddbb\",0,\"lean_workbook_plus_65295\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025273.lean\",\"c2b4a0d4508b1d94b6174b2cbc3492031a2342358bd3daa51864aef01ff937d1\",0,\"lean_workbook_plus_65302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140928,
+      "path": "data/train/pdb/goedel_workbook-001010-0000-0286085f17f9c03a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "0286085f17f9c03a13295dddb62737e93ff2fff112604824f1669b045c8aa4ae"
+    },
+    {
+      "bytes": 52289,
+      "path": "data/internal_test/pdb/goedel_workbook-001010-0000-3f66a68017f1076e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3f66a68017f1076e45dd930ef3d08ad5789201001d073ef22afcccc140c878dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001011.json b/manifests/batches/goedel_workbook/001011.json
index a3f9a9c0012ab3413a80893a89f539aaad427b49..70a8104865f24f6a2c30e275b51fd6db635b69f9 100644
--- a/manifests/batches/goedel_workbook/001011.json
+++ b/manifests/batches/goedel_workbook/001011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001011",
   "batch_fingerprint": "f88ec9aebcc3d5034b0ea011224b5986372c6fa0addb301d6baeebd424f105c2",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001011-0000-0669a53bfa56f5e6.parquet",
-      "sha256": "0669a53bfa56f5e643a90078c2909fe14337ae54df3eaccba84afc58d936a268",
-      "bytes": 232685,
-      "rows": 51,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001011-0000-a3fa629eb27a4662.parquet",
-      "sha256": "a3fa629eb27a466288c4f92c00005269b02d1df33594dcd27e5e3bfce24981d8",
-      "bytes": 42494,
-      "rows": 2,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001011-0000-fba0f833624b1dd6.parquet",
-      "sha256": "fba0f833624b1dd622919c5f18a5fe6ffc5943c27e3d643905ab6730096637bb",
-      "bytes": 27882,
-      "rows": 1,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6531",
     "goedel_workbook:lean_workbook_plus_65330",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025297.lean\",\"2459671129bb5084994efb6d39e7a29533305eb8e074ae366d9d63afb612a6e2\",0,\"lean_workbook_plus_65439\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025298.lean\",\"934b56b6adcd292ae42fff09277e3fd6d79faecc118f94f0f3b44496c436e121\",0,\"lean_workbook_plus_65443\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025299.lean\",\"e15c5c912405718353c541851677c67d54b71375ba772df62ff0d9c2bf9a58f1\",0,\"lean_workbook_plus_65446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232685,
+      "path": "data/train/p5c/goedel_workbook-001011-0000-0669a53bfa56f5e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "0669a53bfa56f5e643a90078c2909fe14337ae54df3eaccba84afc58d936a268"
+    },
+    {
+      "bytes": 42494,
+      "path": "data/dev/p5c/goedel_workbook-001011-0000-a3fa629eb27a4662.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a3fa629eb27a466288c4f92c00005269b02d1df33594dcd27e5e3bfce24981d8"
+    },
+    {
+      "bytes": 27882,
+      "path": "data/internal_test/p5c/goedel_workbook-001011-0000-fba0f833624b1dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fba0f833624b1dd622919c5f18a5fe6ffc5943c27e3d643905ab6730096637bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001012.json b/manifests/batches/goedel_workbook/001012.json
index e69679121ab8bd916d20945332e72fbd2ee92fb3..e905108f3b43f9b8763871808c3d8b547acfec8b 100644
--- a/manifests/batches/goedel_workbook/001012.json
+++ b/manifests/batches/goedel_workbook/001012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001012",
   "batch_fingerprint": "14d76c4a041f73d792dbce791e3d4532faa217265c9405a3e0a538dad3eb41e1",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001012-0000-f5dd1e769e2cb403.parquet",
-      "sha256": "f5dd1e769e2cb403b1146f997736473c61ef3ea5192d986c0bf39cdeb9544fbb",
-      "bytes": 196862,
-      "rows": 40,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001012-0000-c51cb866a4bfc3e3.parquet",
-      "sha256": "c51cb866a4bfc3e338d68eba191fd712174a7a5fda1787dcbfd74281124b832a",
-      "bytes": 44083,
-      "rows": 5,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001012-0000-3a6479c8f0c7d23e.parquet",
-      "sha256": "3a6479c8f0c7d23eb6ca81ecd78164574bb90dea789169980ea80269d4ff4979",
-      "bytes": 50616,
-      "rows": 6,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6546",
     "goedel_workbook:lean_workbook_plus_65462",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025322.lean\",\"aa3b99d24592552c7337222aa664f5b437777eb84de5b1832831fb140bd03c2c\",0,\"lean_workbook_plus_65553\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025323.lean\",\"9e39dfe0cd5e5018ba710360d9f57c7034e5f717c9bb9e6936c84e3592c9f040\",0,\"lean_workbook_plus_65554\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025324.lean\",\"5e8303a01904aeb48b51013d39f876be5005e75ee510a2da203a75dc23b73456\",0,\"lean_workbook_plus_65561\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196862,
+      "path": "data/train/p2f/goedel_workbook-001012-0000-f5dd1e769e2cb403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f5dd1e769e2cb403b1146f997736473c61ef3ea5192d986c0bf39cdeb9544fbb"
+    },
+    {
+      "bytes": 44083,
+      "path": "data/dev/p2f/goedel_workbook-001012-0000-c51cb866a4bfc3e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c51cb866a4bfc3e338d68eba191fd712174a7a5fda1787dcbfd74281124b832a"
+    },
+    {
+      "bytes": 50616,
+      "path": "data/internal_test/p2f/goedel_workbook-001012-0000-3a6479c8f0c7d23e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3a6479c8f0c7d23eb6ca81ecd78164574bb90dea789169980ea80269d4ff4979"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001013.json b/manifests/batches/goedel_workbook/001013.json
index f788735181586f13cec24031022d50a7e94fd582..e4c6e49ece28b19f98b24c64755fa605117fb894 100644
--- a/manifests/batches/goedel_workbook/001013.json
+++ b/manifests/batches/goedel_workbook/001013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001013",
   "batch_fingerprint": "bb81878159d745dcffb155ffebb9b203e3493884de5ae736682316ebf7688ffc",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001013-0000-8f149052442995c0.parquet",
-      "sha256": "8f149052442995c030ccf8c65fc7fdc057d364c9a285f78724ce796489e4eeaf",
-      "bytes": 164564,
-      "rows": 46,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001013-0000-a3834270b978e565.parquet",
-      "sha256": "a3834270b978e56596cd82141b03cbd3b8489527060c3384886efba46ed6bdd6",
-      "bytes": 42695,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001013-0000-7b4a898aa44ca5fb.parquet",
-      "sha256": "7b4a898aa44ca5fb3fd5aed07aa683553e37f3164e7844c636876ebeb8c1cbf9",
-      "bytes": 38491,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65562",
     "goedel_workbook:lean_workbook_plus_65564",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025346.lean\",\"6b5868d40f7b6d3dbdc400841e01809bf488c7ba2dff818ba52ef2f7fbc600fb\",0,\"lean_workbook_plus_65618\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025347.lean\",\"8e4cea6f823c66a0cfb8d26f4b6e0157bc0e1d598f35c02991cdadd9e8b5b816\",0,\"lean_workbook_plus_65620\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025349.lean\",\"ccf6affc1e5116442e8818215aa0f71e2801900deccbf1b5cafcd3f899218265\",0,\"lean_workbook_plus_65625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164564,
+      "path": "data/train/pa5/goedel_workbook-001013-0000-8f149052442995c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "8f149052442995c030ccf8c65fc7fdc057d364c9a285f78724ce796489e4eeaf"
+    },
+    {
+      "bytes": 42695,
+      "path": "data/dev/pa5/goedel_workbook-001013-0000-a3834270b978e565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a3834270b978e56596cd82141b03cbd3b8489527060c3384886efba46ed6bdd6"
+    },
+    {
+      "bytes": 38491,
+      "path": "data/internal_test/pa5/goedel_workbook-001013-0000-7b4a898aa44ca5fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7b4a898aa44ca5fb3fd5aed07aa683553e37f3164e7844c636876ebeb8c1cbf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001014.json b/manifests/batches/goedel_workbook/001014.json
index d915450faeb136104c69eaede5cf30f9ae8069e8..d5062499510bd8a611378ed617942c10536f3931 100644
--- a/manifests/batches/goedel_workbook/001014.json
+++ b/manifests/batches/goedel_workbook/001014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001014",
   "batch_fingerprint": "cdceba1802f702ac336aba23241d78421c2c3b7932eefea1309016c200465419",
   "evidence": {
@@ -246,29 +245,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001014-0000-df9bb7ae4aaa9bf6.parquet",
-      "sha256": "df9bb7ae4aaa9bf687f50ab60353cf7964d70303f9647bc4ef45598c9eb0f94a",
-      "bytes": 80948,
-      "rows": 18,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001014-0000-6991791be38a3c11.parquet",
-      "sha256": "6991791be38a3c11a3449310bbe6a302bd2c28d7d4e0d5adb838ef47c4bd9a96",
-      "bytes": 48488,
-      "rows": 6,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001014-0000-33099dce0a42a1c4.parquet",
-      "sha256": "33099dce0a42a1c49e7ceb7d744f63a11d9da4ccbb3d940d33bcbee9c2d55566",
-      "bytes": 30198,
-      "rows": 1,
-      "revision": "f2ab46caf61953bad3a848ed427342636aed978e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65632",
     "goedel_workbook:lean_workbook_plus_6564",
@@ -298,5 +275,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025369.lean\",\"43e4444e1c8c34f7b7586b1b6ed3886211cbb544b4d51c4251988e32cb9723c6\",0,\"lean_workbook_plus_65724\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025370.lean\",\"f5eae8f82830ee83d40974d0a9f813098244ea017b6162891b4a1b5ffe0ce56d\",0,\"lean_workbook_plus_65726\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025373.lean\",\"da27d4af23278177589c0ae170bba8d3ace936cdd02ba2ad283e5fb4f5c28e14\",0,\"lean_workbook_plus_6574\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80948,
+      "path": "data/train/pc3/goedel_workbook-001014-0000-df9bb7ae4aaa9bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "df9bb7ae4aaa9bf687f50ab60353cf7964d70303f9647bc4ef45598c9eb0f94a"
+    },
+    {
+      "bytes": 48488,
+      "path": "data/dev/pc3/goedel_workbook-001014-0000-6991791be38a3c11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6991791be38a3c11a3449310bbe6a302bd2c28d7d4e0d5adb838ef47c4bd9a96"
+    },
+    {
+      "bytes": 30198,
+      "path": "data/internal_test/pc3/goedel_workbook-001014-0000-33099dce0a42a1c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "33099dce0a42a1c49e7ceb7d744f63a11d9da4ccbb3d940d33bcbee9c2d55566"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001015.json b/manifests/batches/goedel_workbook/001015.json
index d9182278696f92c5ad998c4e6bab695ef602cbe3..e7989383825206b59959a9d67ea3de0ed0829e88 100644
--- a/manifests/batches/goedel_workbook/001015.json
+++ b/manifests/batches/goedel_workbook/001015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001015",
   "batch_fingerprint": "ea01845851cae0576c29167744e34ec72d8d54e9cddb9b0019dd8258667d215d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001015-0000-77e7d41b2e1717bf.parquet",
-      "sha256": "77e7d41b2e1717bfa404518622e86b19d3e6140761ede30ffd166ef5e1937adb",
-      "bytes": 105769,
-      "rows": 27,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001015-0000-6a1770c38e16fdf7.parquet",
-      "sha256": "6a1770c38e16fdf71eafc4cc2beccb2904273512693e261e5637f62447db5489",
-      "bytes": 44914,
-      "rows": 4,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001015-0000-eccdd00aea61083b.parquet",
-      "sha256": "eccdd00aea61083b6457b75eda7af527c8894b0b6b60898a57dfd41a680d738f",
-      "bytes": 43910,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65754",
     "goedel_workbook:lean_workbook_plus_6576",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025396.lean\",\"91ba7880b2d0a8830e1cb3e1258071e62c69ec2f01d2ef5df76f4395b4aaf57b\",0,\"lean_workbook_plus_65809\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025398.lean\",\"e27ae69aa92fddeaf7f095ce884136835b53195aee9b754941308c4b6f82d06e\",0,\"lean_workbook_plus_65824\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025399.lean\",\"434d937250ec7ed143c7056f637b23346d6458d02d6abe5efcdef1e5d0e66d11\",0,\"lean_workbook_plus_65826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105769,
+      "path": "data/train/p46/goedel_workbook-001015-0000-77e7d41b2e1717bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "77e7d41b2e1717bfa404518622e86b19d3e6140761ede30ffd166ef5e1937adb"
+    },
+    {
+      "bytes": 44914,
+      "path": "data/dev/p46/goedel_workbook-001015-0000-6a1770c38e16fdf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a1770c38e16fdf71eafc4cc2beccb2904273512693e261e5637f62447db5489"
+    },
+    {
+      "bytes": 43910,
+      "path": "data/internal_test/p46/goedel_workbook-001015-0000-eccdd00aea61083b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eccdd00aea61083b6457b75eda7af527c8894b0b6b60898a57dfd41a680d738f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001016.json b/manifests/batches/goedel_workbook/001016.json
index 93be2e16e3a01d42f96d84dc6036d70dbf809f23..fa6581cccb20ce92da45020482f2ffddaba55f0b 100644
--- a/manifests/batches/goedel_workbook/001016.json
+++ b/manifests/batches/goedel_workbook/001016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001016",
   "batch_fingerprint": "7d9aa53db07d8e5fdae1fc592543e2970a159d21a247efdc5dae415dbf99d653",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001016-0000-011b761ad48f7084.parquet",
-      "sha256": "011b761ad48f7084f74aa573804b47bf3abb0da739c375904af43718ba4b56cb",
-      "bytes": 238995,
-      "rows": 52,
-      "revision": "3d7a5da456ef18e5b53b93118f0a0077d4bde3b8"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001016-0000-5a62b21602d0dc12.parquet",
-      "sha256": "5a62b21602d0dc12a507cd9adcf464c2d20d68b21652c7876d5e09b0e2a16e65",
-      "bytes": 37009,
-      "rows": 2,
-      "revision": "3d7a5da456ef18e5b53b93118f0a0077d4bde3b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65845",
     "goedel_workbook:lean_workbook_plus_65847",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025422.lean\",\"8222b81dd8d5f25f70f09e1721232af37559cc82d2ad76d77b33f175e3fbf670\",0,\"lean_workbook_plus_65914\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025424.lean\",\"e893f5bb8db0a0723068037c0ec368e0085a17f8ddddc53b62dcc7e044b1685d\",0,\"lean_workbook_plus_65917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238995,
+      "path": "data/train/pfe/goedel_workbook-001016-0000-011b761ad48f7084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "011b761ad48f7084f74aa573804b47bf3abb0da739c375904af43718ba4b56cb"
+    },
+    {
+      "bytes": 37009,
+      "path": "data/internal_test/pfe/goedel_workbook-001016-0000-5a62b21602d0dc12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5a62b21602d0dc12a507cd9adcf464c2d20d68b21652c7876d5e09b0e2a16e65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001017.json b/manifests/batches/goedel_workbook/001017.json
index d6a315507d909672069a6f2d47dfe8eecac9d28d..58ec4b4646b43141f05fdfd4ed67254c23dbfd0c 100644
--- a/manifests/batches/goedel_workbook/001017.json
+++ b/manifests/batches/goedel_workbook/001017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001017",
   "batch_fingerprint": "4529e75610e18f9da0426ce03f5d741b8b032a513664902211d463c30618d67c",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001017-0000-e6dc8e3b4cff5d13.parquet",
-      "sha256": "e6dc8e3b4cff5d133085bc4988089b89ac423be056aaf5c4129b4995414c4ba8",
-      "bytes": 156142,
-      "rows": 39,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001017-0000-a128d0eae76c98b0.parquet",
-      "sha256": "a128d0eae76c98b07201ccfa8cd1885d308db75099472530d5961313509cbc3e",
-      "bytes": 61893,
-      "rows": 14,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_65918",
     "goedel_workbook:lean_workbook_plus_6592",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025444.lean\",\"d94035e27d8bbf2f39dc269c1f23fb9463bedd4d9a3b974282fd9fcd5153f94e\",0,\"lean_workbook_plus_66016\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025448.lean\",\"40de4fa3f3af7732d8c17ea2bd7a7af934a0214a6b2cf1f084b3b6506c4f35dc\",0,\"lean_workbook_plus_66024\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156142,
+      "path": "data/train/pef/goedel_workbook-001017-0000-e6dc8e3b4cff5d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "e6dc8e3b4cff5d133085bc4988089b89ac423be056aaf5c4129b4995414c4ba8"
+    },
+    {
+      "bytes": 61893,
+      "path": "data/dev/pef/goedel_workbook-001017-0000-a128d0eae76c98b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a128d0eae76c98b07201ccfa8cd1885d308db75099472530d5961313509cbc3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001018.json b/manifests/batches/goedel_workbook/001018.json
index 7ea63a3338c25223c2c5067aea54abc0e387d9e7..d8e4959cf2c93ac3b3192741ccfaf03178dbadcf 100644
--- a/manifests/batches/goedel_workbook/001018.json
+++ b/manifests/batches/goedel_workbook/001018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001018",
   "batch_fingerprint": "011a50cd7ebff56869ca525c1d578556f29ffa2bc509dd718eb111b35f7896c4",
   "evidence": {
@@ -182,29 +181,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001018-0000-959ff4e3a60a668e.parquet",
-      "sha256": "959ff4e3a60a668e606c45d3a457022c67c77723029ad1fa05787d23cfb5e107",
-      "bytes": 168922,
-      "rows": 48,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001018-0000-5bc8dd27e88cd745.parquet",
-      "sha256": "5bc8dd27e88cd745ab16d03f95af2952548c91ef8d92baed5a0b7a723c8692d6",
-      "bytes": 42755,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001018-0000-cefaed101e5addf1.parquet",
-      "sha256": "cefaed101e5addf1d4b24c42bf775af9a3aa3d1469fde19603794952b4e174b9",
-      "bytes": 45525,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66037",
     "goedel_workbook:lean_workbook_plus_66044",
@@ -240,5 +217,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025472.lean\",\"a1f3de9e06c40961843f628701a88d78fc27863d4a6a4fb335f898f92f764587\",0,\"lean_workbook_plus_66134\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 168922,
+      "path": "data/train/p83/goedel_workbook-001018-0000-959ff4e3a60a668e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "959ff4e3a60a668e606c45d3a457022c67c77723029ad1fa05787d23cfb5e107"
+    },
+    {
+      "bytes": 42755,
+      "path": "data/dev/p83/goedel_workbook-001018-0000-5bc8dd27e88cd745.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bc8dd27e88cd745ab16d03f95af2952548c91ef8d92baed5a0b7a723c8692d6"
+    },
+    {
+      "bytes": 45525,
+      "path": "data/internal_test/p83/goedel_workbook-001018-0000-cefaed101e5addf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cefaed101e5addf1d4b24c42bf775af9a3aa3d1469fde19603794952b4e174b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001019.json b/manifests/batches/goedel_workbook/001019.json
index bf47ecb2c46f8ff6da17e4876f1ea7b4891feaee..3d114e593daac0848d44a0174d51914b2696cdd7 100644
--- a/manifests/batches/goedel_workbook/001019.json
+++ b/manifests/batches/goedel_workbook/001019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001019",
   "batch_fingerprint": "6f2cc52b56beb5eda09c2dd29f0516c35eb0f2b729dbb5fad745c50fdae1c088",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001019-0000-3dbc5f17b2552774.parquet",
-      "sha256": "3dbc5f17b2552774d3521448e96bffa31a732cd21d99464ce50905075f3f6283",
-      "bytes": 204206,
-      "rows": 49,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001019-0000-d2edef48a190b78e.parquet",
-      "sha256": "d2edef48a190b78e42f756fcac9c087b0205a25437c750c622936cd92cec03d1",
-      "bytes": 38502,
-      "rows": 3,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66145",
     "goedel_workbook:lean_workbook_plus_66153",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025497.lean\",\"1407bfa450f3f00aab74b4878e8c49281c5ccd1b39ee6f3238800d07d1b9bfca\",0,\"lean_workbook_plus_66210\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025498.lean\",\"aba558c771c91874ee22ef8f26cc2eb8e00d68b4e36e9aad5324ddcbaa629b45\",0,\"lean_workbook_plus_66225\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025499.lean\",\"774f2d03c34bba3a9c9056d90837ef4f0063b717c65aa86f8f00939d84411f1b\",0,\"lean_workbook_plus_66226\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204206,
+      "path": "data/train/p51/goedel_workbook-001019-0000-3dbc5f17b2552774.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "3dbc5f17b2552774d3521448e96bffa31a732cd21d99464ce50905075f3f6283"
+    },
+    {
+      "bytes": 38502,
+      "path": "data/internal_test/p51/goedel_workbook-001019-0000-d2edef48a190b78e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d2edef48a190b78e42f756fcac9c087b0205a25437c750c622936cd92cec03d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001020.json b/manifests/batches/goedel_workbook/001020.json
index a407125079490308a3d9fdb7e2dd2d9d50031440..e965691c31dac4dbe973fcee420363eca556940a 100644
--- a/manifests/batches/goedel_workbook/001020.json
+++ b/manifests/batches/goedel_workbook/001020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001020",
   "batch_fingerprint": "1b90cf6e8b26dced86708022a0ced8836a2a026d933d5d8ca40113b0e854c969",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001020-0000-d18f17eee84e4853.parquet",
-      "sha256": "d18f17eee84e48530450ec2845983898c9ebe4b17de378b61d71c0c2fa98a060",
-      "bytes": 175305,
-      "rows": 35,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001020-0000-426641e1c910c7e7.parquet",
-      "sha256": "426641e1c910c7e71c57ee2ef425f49e0a831e7f5e90c232a0d36c5aa174a12e",
-      "bytes": 27515,
-      "rows": 1,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66229",
     "goedel_workbook:lean_workbook_plus_6623",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025514.lean\",\"3702417d776866e234dff09b2bb67401a9235eea85f2c7401cd50657c587aa78\",0,\"lean_workbook_plus_6628\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025518.lean\",\"f6b6d535b5a3581d904185db58fc90677ebdf651661efbab813bdb4e971dd6a3\",0,\"lean_workbook_plus_6629\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025524.lean\",\"9f2d1c56c677b892b7a178cfb47d236ef77a6ff5932141e7b8296c380f2cc241\",0,\"lean_workbook_plus_66315\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175305,
+      "path": "data/train/p28/goedel_workbook-001020-0000-d18f17eee84e4853.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "d18f17eee84e48530450ec2845983898c9ebe4b17de378b61d71c0c2fa98a060"
+    },
+    {
+      "bytes": 27515,
+      "path": "data/dev/p28/goedel_workbook-001020-0000-426641e1c910c7e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "426641e1c910c7e71c57ee2ef425f49e0a831e7f5e90c232a0d36c5aa174a12e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001021.json b/manifests/batches/goedel_workbook/001021.json
index b108ea7f63a7d0b0cda19bb69bd31147de88c358..6c8c0a24fddd1f14f1949738e0b485f93852f2a0 100644
--- a/manifests/batches/goedel_workbook/001021.json
+++ b/manifests/batches/goedel_workbook/001021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001021",
   "batch_fingerprint": "4c997c7e84c0228bb75516c74c171c4d467499b1fb5111cc0fb83c25eec0a595",
   "evidence": {
@@ -218,29 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001021-0000-f6c388a28fed54d0.parquet",
-      "sha256": "f6c388a28fed54d0254819aa74017b5aa13ea642f278bc8ee79d252f96dbdf28",
-      "bytes": 95771,
-      "rows": 20,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001021-0000-7c5fd00c1c0f2222.parquet",
-      "sha256": "7c5fd00c1c0f2222f7d91580226040ef7fabfc73434d250117437845bab029e7",
-      "bytes": 32516,
-      "rows": 2,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001021-0000-c55259735f5fb156.parquet",
-      "sha256": "c55259735f5fb1567db30bbf9262e4f80ea7e452a396207130a1faf551d11604",
-      "bytes": 33714,
-      "rows": 5,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66321",
     "goedel_workbook:lean_workbook_plus_66330",
@@ -272,5 +249,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025543.lean\",\"556ce63a0f724fadee547348ff9a5083a281bc87ca441de6ec92a5069bd60e46\",0,\"lean_workbook_plus_66388\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025544.lean\",\"5009f2aea067ef2f84d14c924606cd7c290a0c14826b8f736a1b253d7abf701e\",0,\"lean_workbook_plus_66389\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025545.lean\",\"36e75222f4de3a0874b2a69aa0360e906c0867981ac0f89df191b17291731f45\",0,\"lean_workbook_plus_66402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95771,
+      "path": "data/train/pd8/goedel_workbook-001021-0000-f6c388a28fed54d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f6c388a28fed54d0254819aa74017b5aa13ea642f278bc8ee79d252f96dbdf28"
+    },
+    {
+      "bytes": 32516,
+      "path": "data/dev/pd8/goedel_workbook-001021-0000-7c5fd00c1c0f2222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7c5fd00c1c0f2222f7d91580226040ef7fabfc73434d250117437845bab029e7"
+    },
+    {
+      "bytes": 33714,
+      "path": "data/internal_test/pd8/goedel_workbook-001021-0000-c55259735f5fb156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c55259735f5fb1567db30bbf9262e4f80ea7e452a396207130a1faf551d11604"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001022.json b/manifests/batches/goedel_workbook/001022.json
index 03a198deea46f7af2d772ad669e1f34e13cd19e5..68ef65440a7efc991dd0510ec3e40700a330959c 100644
--- a/manifests/batches/goedel_workbook/001022.json
+++ b/manifests/batches/goedel_workbook/001022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001022",
   "batch_fingerprint": "465ae9073d6f42ae6f37c9465cbf3825d016bdd434f53670ff6a195ee9b1917d",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001022-0000-d478f14d6732decc.parquet",
-      "sha256": "d478f14d6732decc0e434b83b28c9252f655e705ba66d9ff525aa80bbb3ee4ed",
-      "bytes": 215264,
-      "rows": 52,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001022-0000-e8fd63415d270516.parquet",
-      "sha256": "e8fd63415d27051671a06cb8b7094ad4094ced01216620bdbda432887590bbe8",
-      "bytes": 35729,
-      "rows": 3,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001022-0000-ab7bca6f0bf6173b.parquet",
-      "sha256": "ab7bca6f0bf6173b0d15cbb830ad6a68342ae16a932d8cd36a2755770a323535",
-      "bytes": 34705,
-      "rows": 4,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66419",
     "goedel_workbook:lean_workbook_plus_66426",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025570.lean\",\"32da7554f4d1dac6b613adfa88c13546d0be5cd428963a67c1ce2ba33fba87b2\",0,\"lean_workbook_plus_66494\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025571.lean\",\"8671b98ef01635b8ae5ef5adb74464e81d8e5a4e7402d7f2202b45438bde8e93\",0,\"lean_workbook_plus_66497\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025573.lean\",\"72ee591b4ac49f1a58bae996a1dc40c46c3801f52edb5cbe9fd82250d4e3efb7\",0,\"lean_workbook_plus_66506\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215264,
+      "path": "data/train/pdf/goedel_workbook-001022-0000-d478f14d6732decc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "d478f14d6732decc0e434b83b28c9252f655e705ba66d9ff525aa80bbb3ee4ed"
+    },
+    {
+      "bytes": 35729,
+      "path": "data/dev/pdf/goedel_workbook-001022-0000-e8fd63415d270516.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e8fd63415d27051671a06cb8b7094ad4094ced01216620bdbda432887590bbe8"
+    },
+    {
+      "bytes": 34705,
+      "path": "data/internal_test/pdf/goedel_workbook-001022-0000-ab7bca6f0bf6173b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ab7bca6f0bf6173b0d15cbb830ad6a68342ae16a932d8cd36a2755770a323535"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001023.json b/manifests/batches/goedel_workbook/001023.json
index 244078df6b00d65766b89733fb3cf3da3adc6890..049293c8c0e07b820903855898c20ee38991274c 100644
--- a/manifests/batches/goedel_workbook/001023.json
+++ b/manifests/batches/goedel_workbook/001023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001023",
   "batch_fingerprint": "a5e86e8227401417fda8cf48badd762594b19746a4333c90b3ab0c409d305c17",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001023-0000-bef39ba8c412ffe5.parquet",
-      "sha256": "bef39ba8c412ffe592e64471da9055b9a61073b77954a2ea305135a97929d1a6",
-      "bytes": 98922,
-      "rows": 29,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001023-0000-dea2e25273c8ef94.parquet",
-      "sha256": "dea2e25273c8ef949d35aa5b8fc234ecc6bac907d95b02dfec244ea045b38f13",
-      "bytes": 25305,
-      "rows": 1,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001023-0000-f32d581ac2007ae3.parquet",
-      "sha256": "f32d581ac2007ae300cc76a2a6593d0439d69ec8647b5615138123d62a831230",
-      "bytes": 51053,
-      "rows": 7,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66532",
     "goedel_workbook:lean_workbook_plus_66534",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025592.lean\",\"92732cd2abd1476320a48f8b04bcbe123e0c02ed13e56f8641c3c5fda0f1f9ca\",0,\"lean_workbook_plus_6657\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025597.lean\",\"1d9d1e9afe07eb38766d12421f3ff6fd3f0ba9492d510c64084c2d0d03d30694\",0,\"lean_workbook_plus_66588\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025599.lean\",\"b13b11c42c966874d706e01e11c64574e09c9c09bee160785a923944509739b4\",0,\"lean_workbook_plus_66598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98922,
+      "path": "data/train/pbb/goedel_workbook-001023-0000-bef39ba8c412ffe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "bef39ba8c412ffe592e64471da9055b9a61073b77954a2ea305135a97929d1a6"
+    },
+    {
+      "bytes": 25305,
+      "path": "data/dev/pbb/goedel_workbook-001023-0000-dea2e25273c8ef94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dea2e25273c8ef949d35aa5b8fc234ecc6bac907d95b02dfec244ea045b38f13"
+    },
+    {
+      "bytes": 51053,
+      "path": "data/internal_test/pbb/goedel_workbook-001023-0000-f32d581ac2007ae3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f32d581ac2007ae300cc76a2a6593d0439d69ec8647b5615138123d62a831230"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001024.json b/manifests/batches/goedel_workbook/001024.json
index 41f5b394b54e28c292e56e489c9092057ca7fdc1..8b16095dea66482a339a754069e3d9ca6fac1ead 100644
--- a/manifests/batches/goedel_workbook/001024.json
+++ b/manifests/batches/goedel_workbook/001024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001024",
   "batch_fingerprint": "7b2414274ab303e6d28a75654f00fc9b3b079b070a1d006bcc75d6f5979b7fda",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001024-0000-206effd509f81cf2.parquet",
-      "sha256": "206effd509f81cf27d7adcdf1f69c38d00db06bd8fea92d1b6b32ef645e7ee73",
-      "bytes": 93730,
-      "rows": 23,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001024-0000-6269c135fc6614ad.parquet",
-      "sha256": "6269c135fc6614ad84189b0a01ff401000eba1a295362b2d83214e7998d7932e",
-      "bytes": 40638,
-      "rows": 2,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001024-0000-f1e7973bafdb703e.parquet",
-      "sha256": "f1e7973bafdb703ecc1a30c910b9fdade39744273e42f0cb33b5b51f55c96aa3",
-      "bytes": 32164,
-      "rows": 2,
-      "revision": "64b84815942df7c3de3f328c7d3f4af08256c666"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66611",
     "goedel_workbook:lean_workbook_plus_66634",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025622.lean\",\"3d4313c65687b2043527e23fbd8729b66085e56f562ea1649a7750feb5c2ad18\",0,\"lean_workbook_plus_66701\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025623.lean\",\"f6b1034963764ff870e679d38ca6860facd009420145cd23aa8533a919552342\",0,\"lean_workbook_plus_66702\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025624.lean\",\"ece3539fa07b2d4ef36301394b092826e65ee3e6f0f14e4f8bcee86178c7157f\",0,\"lean_workbook_plus_66704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93730,
+      "path": "data/train/p94/goedel_workbook-001024-0000-206effd509f81cf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "206effd509f81cf27d7adcdf1f69c38d00db06bd8fea92d1b6b32ef645e7ee73"
+    },
+    {
+      "bytes": 40638,
+      "path": "data/dev/p94/goedel_workbook-001024-0000-6269c135fc6614ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6269c135fc6614ad84189b0a01ff401000eba1a295362b2d83214e7998d7932e"
+    },
+    {
+      "bytes": 32164,
+      "path": "data/internal_test/p94/goedel_workbook-001024-0000-f1e7973bafdb703e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f1e7973bafdb703ecc1a30c910b9fdade39744273e42f0cb33b5b51f55c96aa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001025.json b/manifests/batches/goedel_workbook/001025.json
index f3671967610244716ead1e618c9bba67300848c3..04cdd644d9662f81ddd7206614964497dc34e503 100644
--- a/manifests/batches/goedel_workbook/001025.json
+++ b/manifests/batches/goedel_workbook/001025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001025",
   "batch_fingerprint": "5fc1aa467aa4e87e25e1e33992771b7973ce319ef32d33a61f9c0261382b0210",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001025-0000-baefc73e68edd763.parquet",
-      "sha256": "baefc73e68edd763d4912a989ee59c83d670cb6893b2c3befe88c6b9af000dd3",
-      "bytes": 133219,
-      "rows": 35,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001025-0000-101d20f12013e19a.parquet",
-      "sha256": "101d20f12013e19a5449c53fcf75634f0444f05dc5901d5c6c3bcb5f67f3cee1",
-      "bytes": 39928,
-      "rows": 4,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001025-0000-1b14b6ae18331906.parquet",
-      "sha256": "1b14b6ae1833190602e60455a937ec5dfae3d97743840b02469cdf4b324d7f9f",
-      "bytes": 28344,
-      "rows": 1,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66710",
     "goedel_workbook:lean_workbook_plus_66719",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025644.lean\",\"7aa836701c832f693b66a71449a20fc51b69348977d3d56230d4187fcac53afb\",0,\"lean_workbook_plus_66797\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025646.lean\",\"fec281a9ac76d3de65320400988a54621f4a782ebd1b18e02fcbb0f160b387e9\",0,\"lean_workbook_plus_6680\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025648.lean\",\"c9bb6a3b3eccf67a57cb430046b559ea4cc2cee40d95d7787e3e2a1c04369783\",0,\"lean_workbook_plus_66826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133219,
+      "path": "data/train/pca/goedel_workbook-001025-0000-baefc73e68edd763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "baefc73e68edd763d4912a989ee59c83d670cb6893b2c3befe88c6b9af000dd3"
+    },
+    {
+      "bytes": 39928,
+      "path": "data/dev/pca/goedel_workbook-001025-0000-101d20f12013e19a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "101d20f12013e19a5449c53fcf75634f0444f05dc5901d5c6c3bcb5f67f3cee1"
+    },
+    {
+      "bytes": 28344,
+      "path": "data/internal_test/pca/goedel_workbook-001025-0000-1b14b6ae18331906.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1b14b6ae1833190602e60455a937ec5dfae3d97743840b02469cdf4b324d7f9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001026.json b/manifests/batches/goedel_workbook/001026.json
index f0dd6b3469973fbccd2be7b8a215d451e31ac234..726a65cbbcbff3028bc97f0a453ebd2fea63d5a6 100644
--- a/manifests/batches/goedel_workbook/001026.json
+++ b/manifests/batches/goedel_workbook/001026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001026",
   "batch_fingerprint": "c98c08c40963f16e62e5e18bf9b75cbc011830debab4fc4d9f21a0679ce26a34",
   "evidence": {
@@ -91,22 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001026-0000-12709831b89e1bdd.parquet",
-      "sha256": "12709831b89e1bdde798fdade9901d50a9aba2601988767fed54c1046fb0bbcc",
-      "bytes": 186973,
-      "rows": 55,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001026-0000-de929f801a935ceb.parquet",
-      "sha256": "de929f801a935ceb95c9c74d2d95e92109289e50bf6b368fe435ba77d0c04887",
-      "bytes": 35224,
-      "rows": 2,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66828",
     "goedel_workbook:lean_workbook_plus_66830",
@@ -152,5 +136,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025671.lean\",\"3ee69627676c02eaf717627dfefd0d509df96636a5b789be5240383be690070c\",0,\"lean_workbook_plus_66907\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025673.lean\",\"d6d0a20dcba8a8dcff077487df5eab6151245007c42b0a5f73002412b12359a1\",0,\"lean_workbook_plus_66911\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025674.lean\",\"90abc56cd6f92966b98ecb3236f7aea7aaf7eb7fbe7714f41f2e270b1cbbfb83\",0,\"lean_workbook_plus_66916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186973,
+      "path": "data/train/p0c/goedel_workbook-001026-0000-12709831b89e1bdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "12709831b89e1bdde798fdade9901d50a9aba2601988767fed54c1046fb0bbcc"
+    },
+    {
+      "bytes": 35224,
+      "path": "data/internal_test/p0c/goedel_workbook-001026-0000-de929f801a935ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de929f801a935ceb95c9c74d2d95e92109289e50bf6b368fe435ba77d0c04887"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001027.json b/manifests/batches/goedel_workbook/001027.json
index 0ad3e79b0bb24fe6733d1170d2b50f1a0c633669..cecf4e41d67a3ab5fee376d1d1e46e937380c399 100644
--- a/manifests/batches/goedel_workbook/001027.json
+++ b/manifests/batches/goedel_workbook/001027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001027",
   "batch_fingerprint": "a1167a73a61dd776b0d3f34d9c38337fc32a24ae0a5eb142a70436f5d9ef7609",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001027-0000-1faa3bdc92b8b48c.parquet",
-      "sha256": "1faa3bdc92b8b48c50decd83189f2b76c8b9541554c138077cf78c67d8b192d1",
-      "bytes": 141837,
-      "rows": 32,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001027-0000-ac476d09a902b749.parquet",
-      "sha256": "ac476d09a902b749595238d8d07da9e86ebfc02e60d43c6d4d553abd8d08c315",
-      "bytes": 48503,
-      "rows": 5,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_66921",
     "goedel_workbook:lean_workbook_plus_66934",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025697.lean\",\"d7679e5066dce3e921b17dc19bdfca4547c668d57a0ec5d689b1d0496ba1ee23\",0,\"lean_workbook_plus_67060\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025698.lean\",\"06ade4bdd02b341b99543289130079383c969fcec3f277263e799ffeedcebf7d\",0,\"lean_workbook_plus_67062\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025699.lean\",\"c9a5aca7d55a03b1e3903a8294c45ed5c8cf1375b519a6af6bfb0ab5e0bd9273\",0,\"lean_workbook_plus_67065\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141837,
+      "path": "data/train/pd5/goedel_workbook-001027-0000-1faa3bdc92b8b48c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "1faa3bdc92b8b48c50decd83189f2b76c8b9541554c138077cf78c67d8b192d1"
+    },
+    {
+      "bytes": 48503,
+      "path": "data/internal_test/pd5/goedel_workbook-001027-0000-ac476d09a902b749.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ac476d09a902b749595238d8d07da9e86ebfc02e60d43c6d4d553abd8d08c315"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001028.json b/manifests/batches/goedel_workbook/001028.json
index b3edd15ed2f98d536416eb0e2d37582659e5d3e8..39c0c286a53dc0243fef7ec7a758f687a05e504a 100644
--- a/manifests/batches/goedel_workbook/001028.json
+++ b/manifests/batches/goedel_workbook/001028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001028",
   "batch_fingerprint": "157ebc37d5f2e5a4222b5fa03bfa3659b5d60509ba8bd66f86714154be83f4c2",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001028-0000-9dd70410ed3eb279.parquet",
-      "sha256": "9dd70410ed3eb2799dd345316ed6314c0b77c11d23b6f7e79601e47f6df97564",
-      "bytes": 229768,
-      "rows": 58,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001028-0000-8c4d4c1da6e3fb3c.parquet",
-      "sha256": "8c4d4c1da6e3fb3c5fb46557d00303df93d6026c50a9a2087b629f97621d86fc",
-      "bytes": 27158,
-      "rows": 1,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67066",
     "goedel_workbook:lean_workbook_plus_6707",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025722.lean\",\"365bc582a8a04f41d6e3b44a4f300e45166b9e5d730012566c922006d4d45853\",0,\"lean_workbook_plus_67149\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025723.lean\",\"7107d894a738258124fac7936cf2f210d4e51b5426d7ccc6b7730bdd1eaca239\",0,\"lean_workbook_plus_67157\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025724.lean\",\"a25a50b8a2fa0d719f80c92f7e4656cd896871ef00f03d681952c83abe42c5e5\",0,\"lean_workbook_plus_67158\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229768,
+      "path": "data/train/p57/goedel_workbook-001028-0000-9dd70410ed3eb279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "9dd70410ed3eb2799dd345316ed6314c0b77c11d23b6f7e79601e47f6df97564"
+    },
+    {
+      "bytes": 27158,
+      "path": "data/internal_test/p57/goedel_workbook-001028-0000-8c4d4c1da6e3fb3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8c4d4c1da6e3fb3c5fb46557d00303df93d6026c50a9a2087b629f97621d86fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001029.json b/manifests/batches/goedel_workbook/001029.json
index 98482b10a9a4cedfa62050e02b45b9a1924b77cd..18b233b156f7ee3fe1b14f3dbfa5683df414529a 100644
--- a/manifests/batches/goedel_workbook/001029.json
+++ b/manifests/batches/goedel_workbook/001029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001029",
   "batch_fingerprint": "290ccf12d0f2a662d5d9b5980cc2f59db2d2594cfe4869ebc33c988989c5edcc",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001029-0000-b556a8ca3edba9f8.parquet",
-      "sha256": "b556a8ca3edba9f8d324e3672d230eeed9d0d96f5da71470fdf3148c174cda29",
-      "bytes": 194832,
-      "rows": 53,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001029-0000-887ac9d3ab5e5aca.parquet",
-      "sha256": "887ac9d3ab5e5acaf398325a08709ebeba6de659cbab57121052af3220c1e26e",
-      "bytes": 45858,
-      "rows": 3,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67161",
     "goedel_workbook:lean_workbook_plus_67171",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025746.lean\",\"016b75f45a1cf7781890a8bc7f25fd51e638c7087ffe17a05f989e6ba4e874b1\",0,\"lean_workbook_plus_67280\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025747.lean\",\"91fe910644442aa8e5ba558b4b234724412686d50501e4b3769808a685f66a28\",0,\"lean_workbook_plus_67281\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025748.lean\",\"f909f57f616b9137623e43e31214e81d82170338d05062898ee0acf48c98f51f\",0,\"lean_workbook_plus_67283\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194832,
+      "path": "data/train/pae/goedel_workbook-001029-0000-b556a8ca3edba9f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "b556a8ca3edba9f8d324e3672d230eeed9d0d96f5da71470fdf3148c174cda29"
+    },
+    {
+      "bytes": 45858,
+      "path": "data/internal_test/pae/goedel_workbook-001029-0000-887ac9d3ab5e5aca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "887ac9d3ab5e5acaf398325a08709ebeba6de659cbab57121052af3220c1e26e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001030.json b/manifests/batches/goedel_workbook/001030.json
index 1d879a04b3759f571efd8007d7d0624fe46885a9..fe6947697962e0763330ce9d828d95bde15adb5b 100644
--- a/manifests/batches/goedel_workbook/001030.json
+++ b/manifests/batches/goedel_workbook/001030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001030",
   "batch_fingerprint": "e51cc91003caf1d47a113a9f34ae92c5cbf91425277657d51e1545acc1c514d4",
   "evidence": {
@@ -145,36 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001030-0000-548f7e2f896f1fba.parquet",
-      "sha256": "548f7e2f896f1fba6d879861d7e9a9ffb2cb21b2c875706ee874bd79fea78494",
-      "bytes": 160532,
-      "rows": 24,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/train/goedel_workbook-001030-0001-16c5cdb287838df3.parquet",
-      "sha256": "16c5cdb287838df3558eec84a79a6dd8235c5f1c77a38eca07fca7616b66c7dd",
-      "bytes": 99584,
-      "rows": 28,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001030-0000-140d04c0ee92a4de.parquet",
-      "sha256": "140d04c0ee92a4de8d5377fcb510711a436c45b05f7b07625ff2e92f4f53048c",
-      "bytes": 42827,
-      "rows": 3,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001030-0000-cd24cd94e2fbaa5e.parquet",
-      "sha256": "cd24cd94e2fbaa5eaf96933097a14a037d8b1bbc9fdd906b737345c9c158c475",
-      "bytes": 33082,
-      "rows": 2,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67291",
     "goedel_workbook:lean_workbook_plus_67299",
@@ -214,5 +184,35 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025772.lean\",\"0c813360a58fc7f9f707ae96db8575e034c46b45623a12b1dfcea1664eb5570c\",0,\"lean_workbook_plus_67363\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025773.lean\",\"a2f19c2173aae634d1260886e541268958049e0b4a2a75cfe5e11aee5f1b9571\",0,\"lean_workbook_plus_67378\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025774.lean\",\"ca21874d912e3b49237827a0cb850b83c63b7daac7e188d06167aed2fbf2c282\",0,\"lean_workbook_plus_67379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160532,
+      "path": "data/train/paf/goedel_workbook-001030-0000-548f7e2f896f1fba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "548f7e2f896f1fba6d879861d7e9a9ffb2cb21b2c875706ee874bd79fea78494"
+    },
+    {
+      "bytes": 99584,
+      "path": "data/train/paf/goedel_workbook-001030-0001-16c5cdb287838df3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "16c5cdb287838df3558eec84a79a6dd8235c5f1c77a38eca07fca7616b66c7dd"
+    },
+    {
+      "bytes": 42827,
+      "path": "data/dev/paf/goedel_workbook-001030-0000-140d04c0ee92a4de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "140d04c0ee92a4de8d5377fcb510711a436c45b05f7b07625ff2e92f4f53048c"
+    },
+    {
+      "bytes": 33082,
+      "path": "data/internal_test/paf/goedel_workbook-001030-0000-cd24cd94e2fbaa5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd24cd94e2fbaa5eaf96933097a14a037d8b1bbc9fdd906b737345c9c158c475"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001031.json b/manifests/batches/goedel_workbook/001031.json
index b0963e94469d9792521a00e620aa7443f0207c08..fdceebee7680dbf8405e30fb5795d0e7c331784d 100644
--- a/manifests/batches/goedel_workbook/001031.json
+++ b/manifests/batches/goedel_workbook/001031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001031",
   "batch_fingerprint": "2435b28367c0c3fc57be2d1ba1990f9009fadea762610575497ee02095e6694a",
   "evidence": {
@@ -280,22 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001031-0000-644b6431b4183d4e.parquet",
-      "sha256": "644b6431b4183d4ef6ea1404f6f67d862416c0a383b10b6b050d422b0343dbd2",
-      "bytes": 96051,
-      "rows": 20,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001031-0000-53bb4d0d4c92f1fb.parquet",
-      "sha256": "53bb4d0d4c92f1fbceb2cd3034a267dd25072c6ab59219c74b04a61f3b6f0656",
-      "bytes": 41964,
-      "rows": 7,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67380",
     "goedel_workbook:lean_workbook_plus_67381",
@@ -321,5 +305,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025795.lean\",\"2f17c17a50024dae90a0eb28e73ff5257fbdaf8e856a704828fa41640c2c7e60\",0,\"lean_workbook_plus_67454\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025797.lean\",\"117d0391acd0068d837524190d798477d0827f0178fc8f9a257a289ea604360c\",0,\"lean_workbook_plus_67466\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025799.lean\",\"3d35070d3b007c7646a0b385ee1d710fd0bacf6646b7107235e13d3e67fbc058\",0,\"lean_workbook_plus_67475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96051,
+      "path": "data/train/pd9/goedel_workbook-001031-0000-644b6431b4183d4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "644b6431b4183d4ef6ea1404f6f67d862416c0a383b10b6b050d422b0343dbd2"
+    },
+    {
+      "bytes": 41964,
+      "path": "data/internal_test/pd9/goedel_workbook-001031-0000-53bb4d0d4c92f1fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "53bb4d0d4c92f1fbceb2cd3034a267dd25072c6ab59219c74b04a61f3b6f0656"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001032.json b/manifests/batches/goedel_workbook/001032.json
index 7585abf8d05dc7d0ef2c3cc46e285fc07136ca66..d2ee11516f71956e631472892602da125d5e4932 100644
--- a/manifests/batches/goedel_workbook/001032.json
+++ b/manifests/batches/goedel_workbook/001032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001032",
   "batch_fingerprint": "847b6f396f9e53936e04b397bb7112132bb7cb17a00d024249946b11dbbab1e4",
   "evidence": {
@@ -289,29 +288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001032-0000-605f1f53885e5aba.parquet",
-      "sha256": "605f1f53885e5abae4af1591f1542e9f25a390892e3fe7a1a144b43b3be30cf1",
-      "bytes": 146918,
-      "rows": 36,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001032-0000-397d92b5f993c8e8.parquet",
-      "sha256": "397d92b5f993c8e8e65e3dc6196167686e7cc042745523c7af035766a7881fc4",
-      "bytes": 37614,
-      "rows": 1,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001032-0000-d90dc5371fd952a5.parquet",
-      "sha256": "d90dc5371fd952a5957a74bfc514e5469772c2fba79ccec06c98f7255f9177b2",
-      "bytes": 32937,
-      "rows": 1,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67496",
     "goedel_workbook:lean_workbook_plus_67503",
@@ -335,5 +312,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025821.lean\",\"9af2eeaca90ca27473c59c60512880fadc2899e80a99a9969c7285bbf043d270\",0,\"lean_workbook_plus_67558\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025823.lean\",\"6ae29ad42813e398a741cb374394c7bb44f8e9f5a9ce8c548c825c50d648289f\",0,\"lean_workbook_plus_67561\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025824.lean\",\"be4c179ab3692cadfb6d7e148dffdcb7631ff0ca49519442368ec5023b1d371c\",0,\"lean_workbook_plus_67571\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146918,
+      "path": "data/train/p1d/goedel_workbook-001032-0000-605f1f53885e5aba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "605f1f53885e5abae4af1591f1542e9f25a390892e3fe7a1a144b43b3be30cf1"
+    },
+    {
+      "bytes": 37614,
+      "path": "data/dev/p1d/goedel_workbook-001032-0000-397d92b5f993c8e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "397d92b5f993c8e8e65e3dc6196167686e7cc042745523c7af035766a7881fc4"
+    },
+    {
+      "bytes": 32937,
+      "path": "data/internal_test/p1d/goedel_workbook-001032-0000-d90dc5371fd952a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d90dc5371fd952a5957a74bfc514e5469772c2fba79ccec06c98f7255f9177b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001033.json b/manifests/batches/goedel_workbook/001033.json
index 8782ddef05f23e3e6a22c197ad4a14336dc2da2f..3a3b81a91a63df0e8d19bd104b2a75f880afa2fe 100644
--- a/manifests/batches/goedel_workbook/001033.json
+++ b/manifests/batches/goedel_workbook/001033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001033",
   "batch_fingerprint": "4dcb3fc30cb3b12c00227eb762de56e90c02b049c23681264d253b3e84d075d0",
   "evidence": {
@@ -144,29 +143,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001033-0000-19022ab65a093a84.parquet",
-      "sha256": "19022ab65a093a8420dff3670d5ba2ce9828af443c53fc2207529fbce554a8f2",
-      "bytes": 144915,
-      "rows": 36,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001033-0000-b09429bb5be47710.parquet",
-      "sha256": "b09429bb5be47710cff44c6a7d542fe4fe5bd19c1af92b825cd72de431b4f110",
-      "bytes": 43951,
-      "rows": 7,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001033-0000-b4718b4b048380b3.parquet",
-      "sha256": "b4718b4b048380b3e687251d83aede566349a31f2d0fc4244a05aba68984139c",
-      "bytes": 40476,
-      "rows": 5,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67574",
     "goedel_workbook:lean_workbook_plus_67591",
@@ -208,5 +185,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025845.lean\",\"5ecd4f7d660127dd1acc207a97d571e988334f2b01f69a2a97607298560271f6\",0,\"lean_workbook_plus_67663\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025846.lean\",\"cfe8cf4840d1ca977ba855a39f283e16faa5b00615228316430ee55b238cc25b\",0,\"lean_workbook_plus_67665\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025847.lean\",\"ffb892e99c645f8b1f70870c12211eab3651734a8521f518af195a86b0372d2e\",0,\"lean_workbook_plus_67667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144915,
+      "path": "data/train/pc3/goedel_workbook-001033-0000-19022ab65a093a84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "19022ab65a093a8420dff3670d5ba2ce9828af443c53fc2207529fbce554a8f2"
+    },
+    {
+      "bytes": 43951,
+      "path": "data/dev/pc3/goedel_workbook-001033-0000-b09429bb5be47710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b09429bb5be47710cff44c6a7d542fe4fe5bd19c1af92b825cd72de431b4f110"
+    },
+    {
+      "bytes": 40476,
+      "path": "data/internal_test/pc3/goedel_workbook-001033-0000-b4718b4b048380b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b4718b4b048380b3e687251d83aede566349a31f2d0fc4244a05aba68984139c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001034.json b/manifests/batches/goedel_workbook/001034.json
index 20fe4dc122e7e8b5269cd492f2b645f079949384..a4d9f4a3d9aeca57449f9a88812d4d94cee6413c 100644
--- a/manifests/batches/goedel_workbook/001034.json
+++ b/manifests/batches/goedel_workbook/001034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001034",
   "batch_fingerprint": "0474e123f6ea87fd1a2f49c5ca82b7b8dae25211bc2f2a166a32020d108d31a4",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001034-0000-14750cedafb26155.parquet",
-      "sha256": "14750cedafb26155ac8659f186914fd84952c7b3ff3cfab0951257fd55e8f764",
-      "bytes": 112000,
-      "rows": 26,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001034-0000-59e5c999dc1e38af.parquet",
-      "sha256": "59e5c999dc1e38af99fb9490547989fcbfe42c2f783d443b61a00f4b82f1a352",
-      "bytes": 32478,
-      "rows": 1,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001034-0000-7bec3920c6e9d403.parquet",
-      "sha256": "7bec3920c6e9d4038306e3a490fd3921b0b38610f9db3aeb3f983721c40d3608",
-      "bytes": 95909,
-      "rows": 13,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67677",
     "goedel_workbook:lean_workbook_plus_67684",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025872.lean\",\"1ec718594c75e6793343bd54b73720e45b5ac3c8d9dedb8d851ab378af6d03d4\",0,\"lean_workbook_plus_67809\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025873.lean\",\"846692446987fca3872d868bfce919173c59e44b40eba07050cf81110033637c\",0,\"lean_workbook_plus_6781\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025874.lean\",\"cb618b3650eea119cde05151d1c76a294e7791d3e3992a7eed1c8be2ae468f4f\",0,\"lean_workbook_plus_67810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112000,
+      "path": "data/train/pb5/goedel_workbook-001034-0000-14750cedafb26155.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "14750cedafb26155ac8659f186914fd84952c7b3ff3cfab0951257fd55e8f764"
+    },
+    {
+      "bytes": 32478,
+      "path": "data/dev/pb5/goedel_workbook-001034-0000-59e5c999dc1e38af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "59e5c999dc1e38af99fb9490547989fcbfe42c2f783d443b61a00f4b82f1a352"
+    },
+    {
+      "bytes": 95909,
+      "path": "data/internal_test/pb5/goedel_workbook-001034-0000-7bec3920c6e9d403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7bec3920c6e9d4038306e3a490fd3921b0b38610f9db3aeb3f983721c40d3608"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001035.json b/manifests/batches/goedel_workbook/001035.json
index 26650ae4cc6646163748cb7fe90f0ced65d7311f..59608bcf505e6acaaefcd38af4896602964a28e9 100644
--- a/manifests/batches/goedel_workbook/001035.json
+++ b/manifests/batches/goedel_workbook/001035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001035",
   "batch_fingerprint": "4a8a43808a7fa3ab348d1787b136c4c8509dc8e5af99e52cb7f8aa10a30df6be",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001035-0000-57462c387791fe5d.parquet",
-      "sha256": "57462c387791fe5d3eaa9d6236e04b5dde979a5e794e39b39ebddc158a501777",
-      "bytes": 161321,
-      "rows": 38,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001035-0000-22afda1b80efca72.parquet",
-      "sha256": "22afda1b80efca7286c58f17f8a34f5dd03173c6284b1532f7a2d93520f66484",
-      "bytes": 32599,
-      "rows": 1,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67811",
     "goedel_workbook:lean_workbook_plus_67827",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025897.lean\",\"d7687eaf282890fa3d151fdbd8dbe4710ffc973ba5396f8d80cee66c46ff1704\",0,\"lean_workbook_plus_67973\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025898.lean\",\"24a0126e2de5dceae1e5b84386fbbc4e594f86f5c414856679691a21c54f0de0\",0,\"lean_workbook_plus_67976\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025899.lean\",\"32dec231e665e7f17207012e927f800a6039d427ccaf8c53f83bdb872b680478\",0,\"lean_workbook_plus_67977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161321,
+      "path": "data/train/p97/goedel_workbook-001035-0000-57462c387791fe5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "57462c387791fe5d3eaa9d6236e04b5dde979a5e794e39b39ebddc158a501777"
+    },
+    {
+      "bytes": 32599,
+      "path": "data/internal_test/p97/goedel_workbook-001035-0000-22afda1b80efca72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "22afda1b80efca7286c58f17f8a34f5dd03173c6284b1532f7a2d93520f66484"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001036.json b/manifests/batches/goedel_workbook/001036.json
index 309d89a8eebb72b578712746f2b2f3b40dadb212..dbe7cf0925c4d19ea412a535560826c20861c37b 100644
--- a/manifests/batches/goedel_workbook/001036.json
+++ b/manifests/batches/goedel_workbook/001036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001036",
   "batch_fingerprint": "39518b6cc1958843390bb53dc463c2e9991389622671b81ffbf8964ba43e71e0",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001036-0000-93f995a1a52b9a38.parquet",
-      "sha256": "93f995a1a52b9a3814d20d25eb9611df20061d3ac919ff0391afd78a90ea09cc",
-      "bytes": 112630,
-      "rows": 30,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001036-0000-7b73be691381398c.parquet",
-      "sha256": "7b73be691381398cf762a9968c0be76a86ff13aa3f23f45f2dae0a002a147948",
-      "bytes": 59561,
-      "rows": 6,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_67978",
     "goedel_workbook:lean_workbook_plus_67979",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025921.lean\",\"a333ec603c4b005014b8006ff6c5afc229f48353d2b1dbff2dfe78a9aed3add7\",0,\"lean_workbook_plus_68069\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025922.lean\",\"b7c341807be83720d7ae7bf7250c2e463b5f0db5868cf3228cb119f6dafdb2e3\",0,\"lean_workbook_plus_68071\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025923.lean\",\"c85ac4d7ade8bf909f34837982fec34bc28d4135c12802a558c1b3e2835267f0\",0,\"lean_workbook_plus_68073\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112630,
+      "path": "data/train/p3f/goedel_workbook-001036-0000-93f995a1a52b9a38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "93f995a1a52b9a3814d20d25eb9611df20061d3ac919ff0391afd78a90ea09cc"
+    },
+    {
+      "bytes": 59561,
+      "path": "data/internal_test/p3f/goedel_workbook-001036-0000-7b73be691381398c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7b73be691381398cf762a9968c0be76a86ff13aa3f23f45f2dae0a002a147948"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001037.json b/manifests/batches/goedel_workbook/001037.json
index 004e5f08e52b875aa7f6dff7ea480853b86f4221..712e4e4e3025578c846b4d707534682fd991fa9f 100644
--- a/manifests/batches/goedel_workbook/001037.json
+++ b/manifests/batches/goedel_workbook/001037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001037",
   "batch_fingerprint": "e9542cdc1b62ad7192f6412a5dd245ff8175867c0540b0cdb27e26fc7b063693",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001037-0000-e089428c83a7f526.parquet",
-      "sha256": "e089428c83a7f526bdfe228a66d45af6b7c2df822d320df6c7feabb880454595",
-      "bytes": 100189,
-      "rows": 29,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001037-0000-d6bcd7d20e4c61f5.parquet",
-      "sha256": "d6bcd7d20e4c61f5a5493a3c2be1b447300628d5dfba7e03b42f45ef671eba2a",
-      "bytes": 32944,
-      "rows": 1,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001037-0000-533afe1e3721bb12.parquet",
-      "sha256": "533afe1e3721bb121d6015d8d7584891f6da48648ad9324852c0e456196336de",
-      "bytes": 50039,
-      "rows": 6,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68079",
     "goedel_workbook:lean_workbook_plus_68083",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025942.lean\",\"f72d2c8ce410f1d2a2c4cca8473955e8b2f0e5ae538a73dff58f6e1f79e78dd5\",0,\"lean_workbook_plus_68160\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025943.lean\",\"f9823201c381eb60479c276c44fd40a8a7829f6ea945646f797c41ba3bdea7d0\",0,\"lean_workbook_plus_68169\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025946.lean\",\"d6a7ca499303608eb053de2c4d3b33a63d095e1b6132594b9db5e08354fcdddd\",0,\"lean_workbook_plus_6819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100189,
+      "path": "data/train/pa6/goedel_workbook-001037-0000-e089428c83a7f526.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e089428c83a7f526bdfe228a66d45af6b7c2df822d320df6c7feabb880454595"
+    },
+    {
+      "bytes": 32944,
+      "path": "data/dev/pa6/goedel_workbook-001037-0000-d6bcd7d20e4c61f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d6bcd7d20e4c61f5a5493a3c2be1b447300628d5dfba7e03b42f45ef671eba2a"
+    },
+    {
+      "bytes": 50039,
+      "path": "data/internal_test/pa6/goedel_workbook-001037-0000-533afe1e3721bb12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "533afe1e3721bb121d6015d8d7584891f6da48648ad9324852c0e456196336de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001038.json b/manifests/batches/goedel_workbook/001038.json
index 5c25fab9ede725182900a69d3101bdfd987251d6..0a53c135e8654ef73105089caa77761efc49ee09 100644
--- a/manifests/batches/goedel_workbook/001038.json
+++ b/manifests/batches/goedel_workbook/001038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001038",
   "batch_fingerprint": "a380add020af86bd9f073dc85356293658656664ffadf5ce7a8fd15cb30d0e93",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001038-0000-be5f4e0dc3265488.parquet",
-      "sha256": "be5f4e0dc32654887cb562a659d1de150e840e1693c3b2d63ad5ea1a9bed0392",
-      "bytes": 186122,
-      "rows": 44,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001038-0000-1e5666376d7d6550.parquet",
-      "sha256": "1e5666376d7d6550d07ed8e4e23954c2bc1226a1451e42c6125016f31bedabbc",
-      "bytes": 68887,
-      "rows": 7,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001038-0000-4369b7243070c5e7.parquet",
-      "sha256": "4369b7243070c5e7d3ee2a184df5ae8bace050689ff3ad6416730005976bf33e",
-      "bytes": 25895,
-      "rows": 1,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68208",
     "goedel_workbook:lean_workbook_plus_68219",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025971.lean\",\"98a657b01f138c6f1e8c669e4aad3bbd02cbadc81c619dce8e90887c9afe1693\",0,\"lean_workbook_plus_68292\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025973.lean\",\"6a7b893cab7aab8eecb252e497fde0f2c307b9eaf4c443d276b250333cf206e1\",0,\"lean_workbook_plus_68304\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025974.lean\",\"9e9144c19c643ac6491713bb2d5ca241af5e748845612d8b54ff0bb2b952e956\",0,\"lean_workbook_plus_68305\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186122,
+      "path": "data/train/p4a/goedel_workbook-001038-0000-be5f4e0dc3265488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "be5f4e0dc32654887cb562a659d1de150e840e1693c3b2d63ad5ea1a9bed0392"
+    },
+    {
+      "bytes": 68887,
+      "path": "data/dev/p4a/goedel_workbook-001038-0000-1e5666376d7d6550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1e5666376d7d6550d07ed8e4e23954c2bc1226a1451e42c6125016f31bedabbc"
+    },
+    {
+      "bytes": 25895,
+      "path": "data/internal_test/p4a/goedel_workbook-001038-0000-4369b7243070c5e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4369b7243070c5e7d3ee2a184df5ae8bace050689ff3ad6416730005976bf33e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001039.json b/manifests/batches/goedel_workbook/001039.json
index dcf958589dc8746f9bbe95e1188bb5dcdb4bd4fc..be051c6cef031e748a12cc277e4a2d38bc959508 100644
--- a/manifests/batches/goedel_workbook/001039.json
+++ b/manifests/batches/goedel_workbook/001039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001039",
   "batch_fingerprint": "7addf5e939b12834fa0a14c3ddb62fdb1cd3dba51cef7e368748c8353d18d50e",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001039-0000-9a39997478ef3100.parquet",
-      "sha256": "9a39997478ef3100a1be853627a0485c82478a379b51397492e8e8bfe9c2543a",
-      "bytes": 169093,
-      "rows": 37,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001039-0000-3f38bc605231a0cf.parquet",
-      "sha256": "3f38bc605231a0cf9db0aca02561abb1957227f7dcbf7ab08f816c2f399b0d9e",
-      "bytes": 36332,
-      "rows": 2,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001039-0000-01fa0a9905e29924.parquet",
-      "sha256": "01fa0a9905e2992430742e5f3cc2d85f7be4f40fcb895a9b934a5d770142ffe2",
-      "bytes": 40210,
-      "rows": 2,
-      "revision": "27b9c2e70aceee69de1aab17a7b3d4ec030e5c89"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68307",
     "goedel_workbook:lean_workbook_plus_68308",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025994.lean\",\"2974241400db26b46eec4a21c49336732e2f8fc425fa75ac7ac0495c5c8bd126\",0,\"lean_workbook_plus_68369\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025996.lean\",\"491ce8457943f0efc6d624c73809eafbaf177948217ce19d22b169cd7b487d72\",0,\"lean_workbook_plus_68371\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_025998.lean\",\"3b5691ffd20f7d4090efb73afcfae32319e26d645bbfa5340dfb2f826bb22329\",0,\"lean_workbook_plus_68375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169093,
+      "path": "data/train/p99/goedel_workbook-001039-0000-9a39997478ef3100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "9a39997478ef3100a1be853627a0485c82478a379b51397492e8e8bfe9c2543a"
+    },
+    {
+      "bytes": 36332,
+      "path": "data/dev/p99/goedel_workbook-001039-0000-3f38bc605231a0cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3f38bc605231a0cf9db0aca02561abb1957227f7dcbf7ab08f816c2f399b0d9e"
+    },
+    {
+      "bytes": 40210,
+      "path": "data/internal_test/p99/goedel_workbook-001039-0000-01fa0a9905e29924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "01fa0a9905e2992430742e5f3cc2d85f7be4f40fcb895a9b934a5d770142ffe2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001040.json b/manifests/batches/goedel_workbook/001040.json
index d5cd144e18d8e7b55920cbe0980012c248358474..90bf249646f2efdb74443ca8fa043554dd773fa1 100644
--- a/manifests/batches/goedel_workbook/001040.json
+++ b/manifests/batches/goedel_workbook/001040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001040",
   "batch_fingerprint": "89b26a1f4f0b8cc9574fb25756e48cd147fe7cf4f5f62d9c01e911c83c630fc2",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001040-0000-ff7aac0bd19c840b.parquet",
-      "sha256": "ff7aac0bd19c840be9d51624af192e0c095ebb413e2571bd30988b2a41df3a5b",
-      "bytes": 168378,
-      "rows": 43,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001040-0000-5ff923db00fd7918.parquet",
-      "sha256": "5ff923db00fd7918a8e034debfec8fb9f9855871c7c0cb65aa136af95009bab4",
-      "bytes": 34157,
-      "rows": 5,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001040-0000-0cc11d8b4a990320.parquet",
-      "sha256": "0cc11d8b4a990320b8883075988fdb365c73ec3a48860b621bd60cdf95dfe190",
-      "bytes": 29846,
-      "rows": 2,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6838",
     "goedel_workbook:lean_workbook_plus_68381",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026021.lean\",\"47c4a94d2c3027bdfb78500733c30d263a6af86d0a00d6077d1b84e5914d998e\",0,\"lean_workbook_plus_68442\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026023.lean\",\"2453ad97b7cb7ab0d434ce175db48bb6594332d0fa73032275e1481d8050572a\",0,\"lean_workbook_plus_68445\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026024.lean\",\"d2422eff7d064fda18c5294a528fc4f0e8934df4f88e0446ea3bc593087c6ef0\",0,\"lean_workbook_plus_68448\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168378,
+      "path": "data/train/p8f/goedel_workbook-001040-0000-ff7aac0bd19c840b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "ff7aac0bd19c840be9d51624af192e0c095ebb413e2571bd30988b2a41df3a5b"
+    },
+    {
+      "bytes": 34157,
+      "path": "data/dev/p8f/goedel_workbook-001040-0000-5ff923db00fd7918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5ff923db00fd7918a8e034debfec8fb9f9855871c7c0cb65aa136af95009bab4"
+    },
+    {
+      "bytes": 29846,
+      "path": "data/internal_test/p8f/goedel_workbook-001040-0000-0cc11d8b4a990320.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0cc11d8b4a990320b8883075988fdb365c73ec3a48860b621bd60cdf95dfe190"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001041.json b/manifests/batches/goedel_workbook/001041.json
index 4aeb3b6ed456f800ce08aadb8f6d5e1a1d937c72..857a466a1853a9c127f1087e5f4e0eb3a5f21dfc 100644
--- a/manifests/batches/goedel_workbook/001041.json
+++ b/manifests/batches/goedel_workbook/001041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001041",
   "batch_fingerprint": "a4aa31147679301acda1df95cd7a4f6f70f161d4262dc9e2fd1b77c56e7f0bc2",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001041-0000-79cb722ea82ecb28.parquet",
-      "sha256": "79cb722ea82ecb28ce21dc1c8ae76ecbb5775bf27e977e0ac385eb4e99368062",
-      "bytes": 97922,
-      "rows": 30,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001041-0000-2ec80b257c8009a3.parquet",
-      "sha256": "2ec80b257c8009a34669a0c3974a74fb635369f8a9801a579e9de8af717753ca",
-      "bytes": 40897,
-      "rows": 2,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68452",
     "goedel_workbook:lean_workbook_plus_68463",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026045.lean\",\"9f3d4d88fb32c9b0f28dca2ceb5c3e9a4333b03af18366a2a7d27632dc37bf13\",0,\"lean_workbook_plus_68529\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026048.lean\",\"c63f8ffaa811eaac62d1dc9a1e06da0863758db6b5a5a834948c35ed67ab5738\",0,\"lean_workbook_plus_68548\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026049.lean\",\"8af9e8de3062044730615f3eb56a5dae532295676d2c101784c3868b86f95737\",0,\"lean_workbook_plus_68549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97922,
+      "path": "data/train/p0d/goedel_workbook-001041-0000-79cb722ea82ecb28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "79cb722ea82ecb28ce21dc1c8ae76ecbb5775bf27e977e0ac385eb4e99368062"
+    },
+    {
+      "bytes": 40897,
+      "path": "data/internal_test/p0d/goedel_workbook-001041-0000-2ec80b257c8009a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2ec80b257c8009a34669a0c3974a74fb635369f8a9801a579e9de8af717753ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001042.json b/manifests/batches/goedel_workbook/001042.json
index 718c8c975d6293e0548360310b8b88dbaaeebf70..57587409fbbf196e227be7bfe710f208a68ec383 100644
--- a/manifests/batches/goedel_workbook/001042.json
+++ b/manifests/batches/goedel_workbook/001042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001042",
   "batch_fingerprint": "41908b89be2eeb90c4d96540877750179872753e16773c62c0ccc2d61b4f5016",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001042-0000-c6591dc9d59f7c00.parquet",
-      "sha256": "c6591dc9d59f7c007d722fac2e028b1b1e82c84291875ee9189ee34b56a45d72",
-      "bytes": 150713,
-      "rows": 34,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001042-0000-4297f7d7ef3edb39.parquet",
-      "sha256": "4297f7d7ef3edb392e465699fa4bd79fd237d9d1f312c79a9d724072d270d1be",
-      "bytes": 30175,
-      "rows": 1,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001042-0000-c66aee26966ae349.parquet",
-      "sha256": "c66aee26966ae3499a3c1f6ae7e15136c797f84c2e5a19cb52f0568f0b02004c",
-      "bytes": 41762,
-      "rows": 4,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68559",
     "goedel_workbook:lean_workbook_plus_68563",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026071.lean\",\"f0a3d84ed7a9226e7d68eff1828de6231c58c7bd46e08ba202a77d26496e5113\",0,\"lean_workbook_plus_68657\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026072.lean\",\"82d7e0476ccea5c2c39e1af7876189ab4682c3f9130f70309f1c5d91c17fe6ee\",0,\"lean_workbook_plus_68662\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026074.lean\",\"a69f8d298e48138574441988b3638e9c38ba2072a0e48a641e28688615241bb0\",0,\"lean_workbook_plus_68675\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150713,
+      "path": "data/train/p1b/goedel_workbook-001042-0000-c6591dc9d59f7c00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "c6591dc9d59f7c007d722fac2e028b1b1e82c84291875ee9189ee34b56a45d72"
+    },
+    {
+      "bytes": 30175,
+      "path": "data/dev/p1b/goedel_workbook-001042-0000-4297f7d7ef3edb39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4297f7d7ef3edb392e465699fa4bd79fd237d9d1f312c79a9d724072d270d1be"
+    },
+    {
+      "bytes": 41762,
+      "path": "data/internal_test/p1b/goedel_workbook-001042-0000-c66aee26966ae349.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c66aee26966ae3499a3c1f6ae7e15136c797f84c2e5a19cb52f0568f0b02004c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001043.json b/manifests/batches/goedel_workbook/001043.json
index 42f0d479a071567fc282202372374fe7069f67c8..7c57b2ee6a9cb62c8914adf795e7e25fed7b2a5a 100644
--- a/manifests/batches/goedel_workbook/001043.json
+++ b/manifests/batches/goedel_workbook/001043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001043",
   "batch_fingerprint": "60e07f2beea9a92ff864f281c05742a55b18d459f535b02da01232fb2f08bb4d",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001043-0000-7e463c502c6c91a1.parquet",
-      "sha256": "7e463c502c6c91a1972d6e9e2f145983b4e723936f43dcbb6a56275b4dd6b491",
-      "bytes": 115695,
-      "rows": 30,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001043-0000-efd05e9d785622fb.parquet",
-      "sha256": "efd05e9d785622fbd252540b70837650b63779141c97209e63733726fa1d949d",
-      "bytes": 51871,
-      "rows": 9,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6869",
     "goedel_workbook:lean_workbook_plus_687",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026096.lean\",\"e521d5b9f2a01a4456fdd4f593fd11fdc7d01e3d2c6bae2ab9aee86df7d0091e\",0,\"lean_workbook_plus_68811\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026097.lean\",\"d90991e48d5ef611b937833afc2a26651cad5dcbf15e4fbf137fa9a90acab0f9\",0,\"lean_workbook_plus_68812\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026098.lean\",\"8c17f0ed1a12641585ed969b79c1d36bdaef7a2ad6afb990fd4f65adda9ab4c5\",0,\"lean_workbook_plus_68815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115695,
+      "path": "data/train/pd5/goedel_workbook-001043-0000-7e463c502c6c91a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "7e463c502c6c91a1972d6e9e2f145983b4e723936f43dcbb6a56275b4dd6b491"
+    },
+    {
+      "bytes": 51871,
+      "path": "data/internal_test/pd5/goedel_workbook-001043-0000-efd05e9d785622fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "efd05e9d785622fbd252540b70837650b63779141c97209e63733726fa1d949d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001044.json b/manifests/batches/goedel_workbook/001044.json
index 56ba423d480ef42cc1090f0189fd5a9b3d5eaf99..6f98e7e2925c4b15c8f80fef7705e07a59a60ede 100644
--- a/manifests/batches/goedel_workbook/001044.json
+++ b/manifests/batches/goedel_workbook/001044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001044",
   "batch_fingerprint": "e80262df88ed04e2f2309aac3f96c9b983910a65329069a5113cfa3ca3dc3d2c",
   "evidence": {
@@ -280,15 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001044-0000-725fc04e591794f8.parquet",
-      "sha256": "725fc04e591794f85c71591b88fc8bf6d1ac1593518bf16954dcaf667bb899be",
-      "bytes": 153862,
-      "rows": 32,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68838",
     "goedel_workbook:lean_workbook_plus_68872",
@@ -314,5 +305,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026122.lean\",\"fc2c8a3f95c134fa72e71bdc4cf958009314ecc90c0b2b7f695590af8605c3b8\",0,\"lean_workbook_plus_68925\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026123.lean\",\"ac7c0a393307777712ae1d87cd764a9da2432170ac387516a66dc3963863a343\",0,\"lean_workbook_plus_6893\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026124.lean\",\"f4179f000b036e8757e4d556d11c03a30a07a153b789e797bf91ac041520b648\",0,\"lean_workbook_plus_68934\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153862,
+      "path": "data/train/p37/goedel_workbook-001044-0000-725fc04e591794f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "725fc04e591794f85c71591b88fc8bf6d1ac1593518bf16954dcaf667bb899be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001045.json b/manifests/batches/goedel_workbook/001045.json
index 4abdefa0689be4331b7d2bec9055293216157921..1efe2d486d2ec72ed8bb52755b1975306ff58553 100644
--- a/manifests/batches/goedel_workbook/001045.json
+++ b/manifests/batches/goedel_workbook/001045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001045",
   "batch_fingerprint": "b585c4a9d3f86e25afdc4cf667617f51726b036526d6070f89b68eff0c116830",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001045-0000-f9465230aca1ef6b.parquet",
-      "sha256": "f9465230aca1ef6b203a6147abd1642089b34f5df182993d7242e1adb011da0f",
-      "bytes": 95112,
-      "rows": 19,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001045-0000-3ea844e0b5dc233a.parquet",
-      "sha256": "3ea844e0b5dc233ac8f44db995b3c88eeffcd140275bd43a7ecb61ed01e50f51",
-      "bytes": 39361,
-      "rows": 4,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001045-0000-a3050aca26c838cc.parquet",
-      "sha256": "a3050aca26c838ccdf528ad807fcc0c6378c10f4d81977092fb231ee195354f3",
-      "bytes": 45595,
-      "rows": 7,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_68935",
     "goedel_workbook:lean_workbook_plus_68948",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026147.lean\",\"538b38ecbe8727beb6bfed8ace2b344a511c6dc26ad2e9cdd81c04eb1753a71c\",0,\"lean_workbook_plus_69036\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026148.lean\",\"7c1d62ec021343f03e51ce6ac85b4835f6ff574a08899acb693e2451a019535c\",0,\"lean_workbook_plus_69037\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026149.lean\",\"92802b1a23cafbd12fa61e43da8bc2fa756f8dbd5253afc1ef6d4ef6909758f9\",0,\"lean_workbook_plus_69039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95112,
+      "path": "data/train/paa/goedel_workbook-001045-0000-f9465230aca1ef6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f9465230aca1ef6b203a6147abd1642089b34f5df182993d7242e1adb011da0f"
+    },
+    {
+      "bytes": 39361,
+      "path": "data/dev/paa/goedel_workbook-001045-0000-3ea844e0b5dc233a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3ea844e0b5dc233ac8f44db995b3c88eeffcd140275bd43a7ecb61ed01e50f51"
+    },
+    {
+      "bytes": 45595,
+      "path": "data/internal_test/paa/goedel_workbook-001045-0000-a3050aca26c838cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a3050aca26c838ccdf528ad807fcc0c6378c10f4d81977092fb231ee195354f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001046.json b/manifests/batches/goedel_workbook/001046.json
index e37f9db1ee191fecc49fb891dda05bac513f78e1..361a2c29e8a01a53a35fbabd926ef95862c118ca 100644
--- a/manifests/batches/goedel_workbook/001046.json
+++ b/manifests/batches/goedel_workbook/001046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001046",
   "batch_fingerprint": "527e606c395bab2ca69e21eb123c87e789a0254235da780526726727320d0245",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001046-0000-562591a64405dd79.parquet",
-      "sha256": "562591a64405dd79635a704e98e59c2c377d5925cdfdecb174425b5a8e92e90c",
-      "bytes": 181694,
-      "rows": 48,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001046-0000-ceac1d5416a30859.parquet",
-      "sha256": "ceac1d5416a30859732d478c1fbc6b4a08ee64fbdf10315a7886765e59b0e24c",
-      "bytes": 31330,
-      "rows": 2,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69040",
     "goedel_workbook:lean_workbook_plus_69043",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026170.lean\",\"f9df50fdab25078b5ddfc7e224f652bcb4d0391615a89d8f8a75f5c5025d995b\",0,\"lean_workbook_plus_69113\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026172.lean\",\"6101fccb49c084121ccec0131517843bef63fa9d81ea9b5ffd12ef3b6b3369f8\",0,\"lean_workbook_plus_69123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026173.lean\",\"256edb2eb2f9defb8f07a1b17b1f1e41775a9659b4f2ea125f592a7ec7a0b454\",0,\"lean_workbook_plus_69126\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181694,
+      "path": "data/train/pc9/goedel_workbook-001046-0000-562591a64405dd79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "562591a64405dd79635a704e98e59c2c377d5925cdfdecb174425b5a8e92e90c"
+    },
+    {
+      "bytes": 31330,
+      "path": "data/internal_test/pc9/goedel_workbook-001046-0000-ceac1d5416a30859.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ceac1d5416a30859732d478c1fbc6b4a08ee64fbdf10315a7886765e59b0e24c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001047.json b/manifests/batches/goedel_workbook/001047.json
index e695b3d6f06a78cd8d87643cd43d33d22b351fd6..c9a61cff37b48b358d292e54bc76efc7b20f212c 100644
--- a/manifests/batches/goedel_workbook/001047.json
+++ b/manifests/batches/goedel_workbook/001047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001047",
   "batch_fingerprint": "c727fe33f3d4045868bbec1bdc7514cf7d4ddeb7d3c68c6ccb056c8855179961",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001047-0000-6675082b4d7921c2.parquet",
-      "sha256": "6675082b4d7921c23358112419fa27cdc0dad80c677cf66d10bf321977bbc5ac",
-      "bytes": 656492,
-      "rows": 54,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/train/goedel_workbook-001047-0001-6e48ab0ac0daf373.parquet",
-      "sha256": "6e48ab0ac0daf373eb515bd5f105c44320d7e91f9c36c544e3d9e4ed6b7eab77",
-      "bytes": 30790,
-      "rows": 1,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001047-0000-a9124b37ad65c890.parquet",
-      "sha256": "a9124b37ad65c890e9c357455a5d24ee96e1bb8c87aa765921467293a8dbdc9e",
-      "bytes": 54510,
-      "rows": 7,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69145",
     "goedel_workbook:lean_workbook_plus_69149",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026195.lean\",\"f4f30fe971366101119dabfabf36eb3e7e40efd39454971cdc839743e256f755\",0,\"lean_workbook_plus_69217\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026196.lean\",\"3214845dc9a588ad898c52c34579bc412d92d16c94d04d3648a4a3c3196573ee\",0,\"lean_workbook_plus_69221\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026197.lean\",\"4e3ed0aadaec4228cf9ae6a1a88c8fcf6083699d4a4349eeb2c8f4ed62504a63\",0,\"lean_workbook_plus_69223\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 656492,
+      "path": "data/train/p64/goedel_workbook-001047-0000-6675082b4d7921c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "6675082b4d7921c23358112419fa27cdc0dad80c677cf66d10bf321977bbc5ac"
+    },
+    {
+      "bytes": 30790,
+      "path": "data/train/p64/goedel_workbook-001047-0001-6e48ab0ac0daf373.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6e48ab0ac0daf373eb515bd5f105c44320d7e91f9c36c544e3d9e4ed6b7eab77"
+    },
+    {
+      "bytes": 54510,
+      "path": "data/internal_test/p64/goedel_workbook-001047-0000-a9124b37ad65c890.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a9124b37ad65c890e9c357455a5d24ee96e1bb8c87aa765921467293a8dbdc9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001048.json b/manifests/batches/goedel_workbook/001048.json
index 01625e377796f30c2faa9bbe0b504854ab46aba8..aa0872b8a59ddb01d82527bc29c7e40bb16eeed7 100644
--- a/manifests/batches/goedel_workbook/001048.json
+++ b/manifests/batches/goedel_workbook/001048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001048",
   "batch_fingerprint": "c49fca8178c932f544aeae28ca881839d90b8181ff264a93f28a83bd3826c80d",
   "evidence": {
@@ -190,29 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001048-0000-e734a9a8537ea95a.parquet",
-      "sha256": "e734a9a8537ea95a548436bc741404c598776531dc64ab2d0625cfbeac5fcd94",
-      "bytes": 104268,
-      "rows": 19,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001048-0000-4019fb0043b6bbb8.parquet",
-      "sha256": "4019fb0043b6bbb88db93d66c63540ec040c8863324cba263966731f5236810f",
-      "bytes": 45191,
-      "rows": 5,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001048-0000-26c697e0008d3710.parquet",
-      "sha256": "26c697e0008d371054f9c7aae3b079c1cf861c9333e77424693c2dd94069cd15",
-      "bytes": 77676,
-      "rows": 12,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69250",
     "goedel_workbook:lean_workbook_plus_69256",
@@ -248,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026221.lean\",\"e76fe719e811a835d72811139218281489f6759eec4f60c94828f375e5fb727d\",0,\"lean_workbook_plus_6935\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026223.lean\",\"54cff3772097013ced34272ee491fa37253174871a8bf7f867e3de1a6484d3b2\",0,\"lean_workbook_plus_6936\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026224.lean\",\"ad53e12967e72028b379ade9aa3a1e2b43527ce80a262840e211c950e46825df\",0,\"lean_workbook_plus_69368\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104268,
+      "path": "data/train/pd4/goedel_workbook-001048-0000-e734a9a8537ea95a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e734a9a8537ea95a548436bc741404c598776531dc64ab2d0625cfbeac5fcd94"
+    },
+    {
+      "bytes": 45191,
+      "path": "data/dev/pd4/goedel_workbook-001048-0000-4019fb0043b6bbb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4019fb0043b6bbb88db93d66c63540ec040c8863324cba263966731f5236810f"
+    },
+    {
+      "bytes": 77676,
+      "path": "data/internal_test/pd4/goedel_workbook-001048-0000-26c697e0008d3710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "26c697e0008d371054f9c7aae3b079c1cf861c9333e77424693c2dd94069cd15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001049.json b/manifests/batches/goedel_workbook/001049.json
index 5bcb626598a36be69b494996b1ec67246d1b9c51..2e36b46f859719f6954f347479d034220615d290 100644
--- a/manifests/batches/goedel_workbook/001049.json
+++ b/manifests/batches/goedel_workbook/001049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001049",
   "batch_fingerprint": "1adb197c3cab9486a6f19e53f24f6af87686fe94c46350ad66ca4a40826df5ab",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001049-0000-ccbed2cb0b846966.parquet",
-      "sha256": "ccbed2cb0b846966bd9ed3c1d22fd86d955eec0d027b545333e6d8398a7c9c65",
-      "bytes": 193637,
-      "rows": 51,
-      "revision": "849c1c2ba6ddecf8b75884059aac0f0cb9ce106c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_6937",
     "goedel_workbook:lean_workbook_plus_6938",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026244.lean\",\"f85278dc188abe7b9aae7dff01f4b0d271fdb9ce183aea74609396e2963a4c88\",0,\"lean_workbook_plus_69453\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026245.lean\",\"e067c7d0f6dea863849edbe5db7136bea5b8326103ff83913e8070557f2de36f\",0,\"lean_workbook_plus_69459\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026247.lean\",\"336da9bf7d3226b1a84771fa60b5226303c2c6cdbdee5f134d628106250957f6\",0,\"lean_workbook_plus_69468\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193637,
+      "path": "data/train/p45/goedel_workbook-001049-0000-ccbed2cb0b846966.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "ccbed2cb0b846966bd9ed3c1d22fd86d955eec0d027b545333e6d8398a7c9c65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001050.json b/manifests/batches/goedel_workbook/001050.json
index afd036dde424f66b42b5c3340be583611ae4f29c..3d9b37e8acf6b971f07fae27e8e0464720658e50 100644
--- a/manifests/batches/goedel_workbook/001050.json
+++ b/manifests/batches/goedel_workbook/001050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001050",
   "batch_fingerprint": "bb4ad44619aa73ee67a1b4d62afd648844b9b88c52dc7d5e98100d1e6b676c55",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001050-0000-707abfa13a2e4275.parquet",
-      "sha256": "707abfa13a2e4275aa980d0838f8205cb962d9541a715bc0aed3eb5d673cc3d0",
-      "bytes": 193138,
-      "rows": 36,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001050-0000-8a9ad6c459eccd59.parquet",
-      "sha256": "8a9ad6c459eccd5923bc1b30e3b85357073a505c45856ec24f71d682480899f7",
-      "bytes": 40597,
-      "rows": 2,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001050-0000-ec7cab619f34a905.parquet",
-      "sha256": "ec7cab619f34a905fd92f12336d8ffc40173b3a1f60dfd681a5b1907012df69e",
-      "bytes": 50023,
-      "rows": 7,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69479",
     "goedel_workbook:lean_workbook_plus_69480",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026269.lean\",\"dff5abb756ca1eb8ff6ba2fcc77552162b3335b47742c9e78aa23b1edcc76717\",0,\"lean_workbook_plus_69520\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026272.lean\",\"ce4b6f2372665afc41e8e622e6b337bcb077d4298b8535bcdc83ae43a7c3a433\",0,\"lean_workbook_plus_69526\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026273.lean\",\"01ba1b17c25195096f380c3a4f5e1de0a34eefc1b528af062b24365da84cc3e5\",0,\"lean_workbook_plus_69529\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193138,
+      "path": "data/train/p09/goedel_workbook-001050-0000-707abfa13a2e4275.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "707abfa13a2e4275aa980d0838f8205cb962d9541a715bc0aed3eb5d673cc3d0"
+    },
+    {
+      "bytes": 40597,
+      "path": "data/dev/p09/goedel_workbook-001050-0000-8a9ad6c459eccd59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8a9ad6c459eccd5923bc1b30e3b85357073a505c45856ec24f71d682480899f7"
+    },
+    {
+      "bytes": 50023,
+      "path": "data/internal_test/p09/goedel_workbook-001050-0000-ec7cab619f34a905.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ec7cab619f34a905fd92f12336d8ffc40173b3a1f60dfd681a5b1907012df69e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001051.json b/manifests/batches/goedel_workbook/001051.json
index 73ed5133a293504a9ac600624f884d9fa45fdb76..bd9d343144fcf0b0395a286d24efcc04d96d7a47 100644
--- a/manifests/batches/goedel_workbook/001051.json
+++ b/manifests/batches/goedel_workbook/001051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001051",
   "batch_fingerprint": "acdc909c005c58c4c07e378e367815597029301a9961ffdb85510cf07091874a",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001051-0000-c2d85a99af789266.parquet",
-      "sha256": "c2d85a99af7892660f3d40ff69a41702cae44a381880e2aa265bfade7c9591b9",
-      "bytes": 90625,
-      "rows": 23,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001051-0000-716b9dbddca7f253.parquet",
-      "sha256": "716b9dbddca7f2533fe492d8bcc6d4f6dd5c43c8d95df2437f8b40144f7b7dd3",
-      "bytes": 30140,
-      "rows": 3,
-      "revision": "331520b41d912fba948958cbda0ac1f9d8d56f53"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69551",
     "goedel_workbook:lean_workbook_plus_69558",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026291.lean\",\"c39680d5e274852f462d0940f3f2f93afe28f6a06c50e9c64ba2d3ea6d7b2958\",0,\"lean_workbook_plus_69609\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026298.lean\",\"09cc465e479a51f53136e3c804577c68073e0b8b3e55ef190ca572eefbcd38e4\",0,\"lean_workbook_plus_69650\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026299.lean\",\"1d71aeae357542972e7ee6ca939e125c1501d2652c86a806d6ffb85360baca91\",0,\"lean_workbook_plus_69653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90625,
+      "path": "data/train/pe7/goedel_workbook-001051-0000-c2d85a99af789266.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c2d85a99af7892660f3d40ff69a41702cae44a381880e2aa265bfade7c9591b9"
+    },
+    {
+      "bytes": 30140,
+      "path": "data/dev/pe7/goedel_workbook-001051-0000-716b9dbddca7f253.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "716b9dbddca7f2533fe492d8bcc6d4f6dd5c43c8d95df2437f8b40144f7b7dd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001052.json b/manifests/batches/goedel_workbook/001052.json
index 7610b78ab170acd4831d54581f3e5f66e2676df4..158c52640894f01734ea28de36ee417ec5c4760c 100644
--- a/manifests/batches/goedel_workbook/001052.json
+++ b/manifests/batches/goedel_workbook/001052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001052",
   "batch_fingerprint": "d5a5894b68d29e1ea4d743de8d1f68d81cb85fbe07a389728383e350129f511a",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001052-0000-1d98caa31931032d.parquet",
-      "sha256": "1d98caa31931032d888eba07e2e9bf81c52e08beaa95187cd8505886f9243822",
-      "bytes": 154719,
-      "rows": 33,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001052-0000-d4dd36f2d862a337.parquet",
-      "sha256": "d4dd36f2d862a3371e887c97cbfe4d52bf71eec88bd1a6d13716bb01e7af3fa3",
-      "bytes": 42085,
-      "rows": 7,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69666",
     "goedel_workbook:lean_workbook_plus_69667",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026321.lean\",\"e874394e808355ab61ebfd5f23e2d02108f5b9aab72d020dc629f8e307c2f9de\",0,\"lean_workbook_plus_69777\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026322.lean\",\"a113b4fe6797a390233c37bf25325923e13d0ff9be4288829fab979c2fe5a5a8\",0,\"lean_workbook_plus_69781\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026323.lean\",\"024cb9cc83d3421a49fda1cec55d3233cd528f947079e3fb1a08bb7ba81c71dd\",0,\"lean_workbook_plus_69784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154719,
+      "path": "data/train/pd9/goedel_workbook-001052-0000-1d98caa31931032d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1d98caa31931032d888eba07e2e9bf81c52e08beaa95187cd8505886f9243822"
+    },
+    {
+      "bytes": 42085,
+      "path": "data/internal_test/pd9/goedel_workbook-001052-0000-d4dd36f2d862a337.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d4dd36f2d862a3371e887c97cbfe4d52bf71eec88bd1a6d13716bb01e7af3fa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001053.json b/manifests/batches/goedel_workbook/001053.json
index 7371180c1cd24d2f61fd652f04b7d28b84375b86..4dd49f62588a1b086e8f4ecab36889030e88d9d5 100644
--- a/manifests/batches/goedel_workbook/001053.json
+++ b/manifests/batches/goedel_workbook/001053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001053",
   "batch_fingerprint": "7bd108e88088c6052170e0e1aa6d0fdb4d55e177bee28de49452aa04c8de6558",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001053-0000-7dc9aab6222f43f0.parquet",
-      "sha256": "7dc9aab6222f43f0150b023ed7a59a1e87e174b9d5e0e332f70f0247c39e2017",
-      "bytes": 87407,
-      "rows": 29,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001053-0000-80fd83c0527487ce.parquet",
-      "sha256": "80fd83c0527487cee96749f4e0875932da21e37eed9d4eeed7e1a5dd87e4ddee",
-      "bytes": 40047,
-      "rows": 3,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69789",
     "goedel_workbook:lean_workbook_plus_69790",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026346.lean\",\"ae068a9bb19a45a7e0d079d4244408121370abdb4c9d22941baaf6da0708bcbb\",0,\"lean_workbook_plus_69887\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026348.lean\",\"7e04b706a1c523cbed2a56cdbd48ab3ec1fcf631fa6a640f3e44317831c8d7ae\",0,\"lean_workbook_plus_699\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026349.lean\",\"ce49619e9733a9cf79e3aef9ac0aa9c8dcde26b71939716ae8d9708796eabdee\",0,\"lean_workbook_plus_69906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87407,
+      "path": "data/train/pbe/goedel_workbook-001053-0000-7dc9aab6222f43f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7dc9aab6222f43f0150b023ed7a59a1e87e174b9d5e0e332f70f0247c39e2017"
+    },
+    {
+      "bytes": 40047,
+      "path": "data/internal_test/pbe/goedel_workbook-001053-0000-80fd83c0527487ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "80fd83c0527487cee96749f4e0875932da21e37eed9d4eeed7e1a5dd87e4ddee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001054.json b/manifests/batches/goedel_workbook/001054.json
index 8fb203a233a917eb1b33255aa2de1e2b0b67fb5d..bcd9377fc7ef72330d2e9a3fa454682a92ed9334 100644
--- a/manifests/batches/goedel_workbook/001054.json
+++ b/manifests/batches/goedel_workbook/001054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001054",
   "batch_fingerprint": "9daacea3b1db51bb180c12a1f7ef563ca60e59fda54ae8dbe3cd4effd02d4f98",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001054-0000-7476247850b30890.parquet",
-      "sha256": "7476247850b308904034d6c4328cd4860bc0ea0b3f0540ce9fcea12f40b36437",
-      "bytes": 111030,
-      "rows": 27,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001054-0000-4075e6a6b6bdb231.parquet",
-      "sha256": "4075e6a6b6bdb231545605500d2d69d12f16dfd8008e0fbb537a83ba66970b64",
-      "bytes": 37155,
-      "rows": 4,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-001054-0000-e6645e0638d4bcac.parquet",
-      "sha256": "e6645e0638d4bcacb455065935871e3ec5aed352c2bbb9b551730b99579fc7e5",
-      "bytes": 31033,
-      "rows": 1,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_69913",
     "goedel_workbook:lean_workbook_plus_69921",
@@ -280,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026371.lean\",\"14d28b213c9a272ed7b403da1d6aa5847be514efafe3c410d215927745d56ef4\",0,\"lean_workbook_plus_70007\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026372.lean\",\"d89aedec0d4d67c708085b643ba46ea9849293c6d0388555a0cf5a274eba7221\",0,\"lean_workbook_plus_70008\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026374.lean\",\"264bbd427f73d2cc582c5deb0ce8d906476e077592e20948a737b6932d666063\",0,\"lean_workbook_plus_70012\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111030,
+      "path": "data/train/p31/goedel_workbook-001054-0000-7476247850b30890.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "7476247850b308904034d6c4328cd4860bc0ea0b3f0540ce9fcea12f40b36437"
+    },
+    {
+      "bytes": 37155,
+      "path": "data/internal_test/p31/goedel_workbook-001054-0000-4075e6a6b6bdb231.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4075e6a6b6bdb231545605500d2d69d12f16dfd8008e0fbb537a83ba66970b64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001055.json b/manifests/batches/goedel_workbook/001055.json
index e453578f2e98b753eb5853349c3c4db2b37c7d8d..e4a406063d422904695d2026a15b5863d4526e66 100644
--- a/manifests/batches/goedel_workbook/001055.json
+++ b/manifests/batches/goedel_workbook/001055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001055",
   "batch_fingerprint": "803136e8ef92204823887411e6f9421478587963c48ebd7f2cf798fe7f8f57ae",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001055-0000-06ba3518eab8e208.parquet",
-      "sha256": "06ba3518eab8e208dccaecd8514731d393ca6f1d30c2c8125af706f9837edb62",
-      "bytes": 199636,
-      "rows": 54,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001055-0000-bfc508b9b08a664b.parquet",
-      "sha256": "bfc508b9b08a664bdfb7737def159b7abe91c49f36ad9378213ff4fbfcb6de87",
-      "bytes": 36465,
-      "rows": 2,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70018",
     "goedel_workbook:lean_workbook_plus_70031",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026392.lean\",\"74f5ef4b775b0a0267fbbd4e1dca9e5f2964a983658874d321f27aa99c8ce79f\",0,\"lean_workbook_plus_70093\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026393.lean\",\"e0d415546692795e1c92820cab68059be7c899f04cc8f6c98a729da89363f8c3\",0,\"lean_workbook_plus_70095\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026398.lean\",\"7f035ac433ed7bfbb30d6093b1c53b6c06a442c406ef92856503191732a68c6a\",0,\"lean_workbook_plus_70125\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199636,
+      "path": "data/train/p7c/goedel_workbook-001055-0000-06ba3518eab8e208.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "06ba3518eab8e208dccaecd8514731d393ca6f1d30c2c8125af706f9837edb62"
+    },
+    {
+      "bytes": 36465,
+      "path": "data/dev/p7c/goedel_workbook-001055-0000-bfc508b9b08a664b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bfc508b9b08a664bdfb7737def159b7abe91c49f36ad9378213ff4fbfcb6de87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001056.json b/manifests/batches/goedel_workbook/001056.json
index 220a3660ad6bbced601a71f65821e15d624c7adf..502a881671a550d0249b508723f09a55d4e03777 100644
--- a/manifests/batches/goedel_workbook/001056.json
+++ b/manifests/batches/goedel_workbook/001056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001056",
   "batch_fingerprint": "600ba16ea5a04b60c21930e4ded823dac9e0a989134dba1812263e0dfda4a4e7",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001056-0000-e4c2421d0af840f2.parquet",
-      "sha256": "e4c2421d0af840f2757ccfd1cb0679acc4d96d864a8aa2a8eb928c6ce203a702",
-      "bytes": 201515,
-      "rows": 51,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001056-0000-1161774437665075.parquet",
-      "sha256": "116177443766507518edcc83ee26447ae774db8f752f71cc065b26ae7430b1f6",
-      "bytes": 39726,
-      "rows": 5,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70137",
     "goedel_workbook:lean_workbook_plus_70146",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026422.lean\",\"5a6436ef37008a23592cac0e32c6b26e2620d37a3eb042cbe59574d404f5c450\",0,\"lean_workbook_plus_70213\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026423.lean\",\"3ce146cbb166ff80bc221956f30206f5efe02b0ab0cda3247ea6e0ce211b1340\",0,\"lean_workbook_plus_70216\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026424.lean\",\"afb4fa1c3e65ee1255bc4768287de43d78530e4830f42ee50e335505dc3d822b\",0,\"lean_workbook_plus_70219\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201515,
+      "path": "data/train/p49/goedel_workbook-001056-0000-e4c2421d0af840f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "e4c2421d0af840f2757ccfd1cb0679acc4d96d864a8aa2a8eb928c6ce203a702"
+    },
+    {
+      "bytes": 39726,
+      "path": "data/dev/p49/goedel_workbook-001056-0000-1161774437665075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "116177443766507518edcc83ee26447ae774db8f752f71cc065b26ae7430b1f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001057.json b/manifests/batches/goedel_workbook/001057.json
index a4a62a7eda77b721de5fcf35fd7eb3b94e736fa9..53d43b96141eb6f2d5804f4442d5590d9e87b2e4 100644
--- a/manifests/batches/goedel_workbook/001057.json
+++ b/manifests/batches/goedel_workbook/001057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001057",
   "batch_fingerprint": "7ce2a7462edc1fa947bdaf9e8ea79b00c8b8f7f049623b50a460b3426b8ea918",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001057-0000-9408b0d6e1af2f66.parquet",
-      "sha256": "9408b0d6e1af2f6681d08cad45e5543b0e8d7b67f4258d4785259dd035404197",
-      "bytes": 193965,
-      "rows": 50,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001057-0000-62816b5e4375a488.parquet",
-      "sha256": "62816b5e4375a4883d77628781b3074b118f81ec48fee064b3af8e2cb0b173bd",
-      "bytes": 49939,
-      "rows": 6,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001057-0000-af9d02c85aba0e54.parquet",
-      "sha256": "af9d02c85aba0e544b758b1fc37af24c1046aea8a9df1b823cfb591a9641b563",
-      "bytes": 33535,
-      "rows": 2,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70220",
     "goedel_workbook:lean_workbook_plus_70222",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026445.lean\",\"05108e1e0024caeef4488711e7a391c0f3ae824d5e2492437a504151c884ac8a\",0,\"lean_workbook_plus_70290\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026448.lean\",\"893143aba2e18985f0069a62315184e5c6e93a75e5605311d6a5f364365bff3f\",0,\"lean_workbook_plus_70306\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026449.lean\",\"7f2d26ca06cbd4b92396319752506619a54ab97856b993e602596a0f8e1c58a5\",0,\"lean_workbook_plus_70312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193965,
+      "path": "data/train/p6d/goedel_workbook-001057-0000-9408b0d6e1af2f66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "9408b0d6e1af2f6681d08cad45e5543b0e8d7b67f4258d4785259dd035404197"
+    },
+    {
+      "bytes": 49939,
+      "path": "data/dev/p6d/goedel_workbook-001057-0000-62816b5e4375a488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "62816b5e4375a4883d77628781b3074b118f81ec48fee064b3af8e2cb0b173bd"
+    },
+    {
+      "bytes": 33535,
+      "path": "data/internal_test/p6d/goedel_workbook-001057-0000-af9d02c85aba0e54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "af9d02c85aba0e544b758b1fc37af24c1046aea8a9df1b823cfb591a9641b563"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001058.json b/manifests/batches/goedel_workbook/001058.json
index b5d7c8625452ed3fbeef6cb45f8805ef5e4c5dcb..c123175d4f8a6ceb8ef1178859be371a7bb88eab 100644
--- a/manifests/batches/goedel_workbook/001058.json
+++ b/manifests/batches/goedel_workbook/001058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001058",
   "batch_fingerprint": "d1039f33707e96283d5b10ea65069a6ae4044f6bdb6157f98c4f6e50634bfbf2",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001058-0000-7cef16496142033a.parquet",
-      "sha256": "7cef16496142033a1eeca6129e14eaa9afd9f218637bcb6ab4872e7afaa78440",
-      "bytes": 176422,
-      "rows": 40,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001058-0000-ce82b4721e5a60bb.parquet",
-      "sha256": "ce82b4721e5a60bba25a994e0eb2d9127ecb977c48089fde563466ceb5e02383",
-      "bytes": 34523,
-      "rows": 6,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70313",
     "goedel_workbook:lean_workbook_plus_70315",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026466.lean\",\"d7968e61531dba049ea61e5e6b26a2ccab8ac451e5a908b0c477868fcad83824\",0,\"lean_workbook_plus_7040\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026467.lean\",\"3330c638b7e05413864bd72a0c4c7d469b5187350563236d8db47ec78e5aeb5c\",0,\"lean_workbook_plus_70401\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026471.lean\",\"51871a3becf13fc5323bd81231a7651e8cb3a0b7e03dc84a0b61aabb6167eb4c\",0,\"lean_workbook_plus_70415\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176422,
+      "path": "data/train/p8d/goedel_workbook-001058-0000-7cef16496142033a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "7cef16496142033a1eeca6129e14eaa9afd9f218637bcb6ab4872e7afaa78440"
+    },
+    {
+      "bytes": 34523,
+      "path": "data/dev/p8d/goedel_workbook-001058-0000-ce82b4721e5a60bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ce82b4721e5a60bba25a994e0eb2d9127ecb977c48089fde563466ceb5e02383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001059.json b/manifests/batches/goedel_workbook/001059.json
index cf923e90583d6c30b0f78210e1a4545d0b9a881e..d06c47671b7cfc8831576744ee4b99bbd09a35a2 100644
--- a/manifests/batches/goedel_workbook/001059.json
+++ b/manifests/batches/goedel_workbook/001059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001059",
   "batch_fingerprint": "6ebaf3afbce122f83e9aa184d5f650b73637032be5f69dca52b009852a1c495c",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001059-0000-7299eb26a26c7988.parquet",
-      "sha256": "7299eb26a26c798899e6746e303adac3c51a3751786d4973de6c0b0c4b0db26d",
-      "bytes": 160874,
-      "rows": 39,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001059-0000-de1f4ff4463ab0dc.parquet",
-      "sha256": "de1f4ff4463ab0dc3cfc3652fe0db41853872043d5ca6f0a5334493ab36a771b",
-      "bytes": 24925,
-      "rows": 1,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-001059-0000-43e1bb52e8978029.parquet",
-      "sha256": "43e1bb52e89780293ee199d2e5c9e2fea1f310e61f13e2b4bb59aa6d8085a1ad",
-      "bytes": 33900,
-      "rows": 2,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70435",
     "goedel_workbook:lean_workbook_plus_70446",
@@ -216,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026495.lean\",\"3a808e7a2a00ea89e0e3b70ea153ec7df58e9369e219f3d6dc8436eee9c72e0c\",0,\"lean_workbook_plus_70519\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026497.lean\",\"299e7565834e533b3ab9cd988f027cf9aac7a01e2a31643f5a132503e054bc92\",0,\"lean_workbook_plus_70520\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026499.lean\",\"b07deeb0c2f23f93021b417ea87e5e8e2347e1dc763e46828decf61a7efbcc75\",0,\"lean_workbook_plus_70527\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160874,
+      "path": "data/train/p0d/goedel_workbook-001059-0000-7299eb26a26c7988.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7299eb26a26c798899e6746e303adac3c51a3751786d4973de6c0b0c4b0db26d"
+    },
+    {
+      "bytes": 24925,
+      "path": "data/internal_test/p0d/goedel_workbook-001059-0000-de1f4ff4463ab0dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "de1f4ff4463ab0dc3cfc3652fe0db41853872043d5ca6f0a5334493ab36a771b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001060.json b/manifests/batches/goedel_workbook/001060.json
index a5367604a50ff62cc379a48fe6f5715d235e3fe4..ae64e509c87222868dc4e475694b9d87d70166ac 100644
--- a/manifests/batches/goedel_workbook/001060.json
+++ b/manifests/batches/goedel_workbook/001060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001060",
   "batch_fingerprint": "12692511d629c0533863f9dbec4107d3572e365f452ff9fb2790971ee1d53fdf",
   "evidence": {
@@ -136,15 +135,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001060-0000-7f111d67b554e6b1.parquet",
-      "sha256": "7f111d67b554e6b1cc9f917b996a01860795e2185a250a8071b393ce46f413a3",
-      "bytes": 196450,
-      "rows": 41,
-      "revision": "2f561ef07225f1cfe75899d1264d958a11aa0403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70537",
     "goedel_workbook:lean_workbook_plus_70549",
@@ -186,5 +177,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026522.lean\",\"26e475ccf31849b914b30bb632cf6bdfd1b63681b13615e19b77a18ed361937a\",0,\"lean_workbook_plus_70629\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026523.lean\",\"d75a1979ab17f0c1cd2f496132a3f8d877b53a09bb83fa783a75e7b15cce0eeb\",0,\"lean_workbook_plus_70631\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026524.lean\",\"987db1b3092e1b9cf41e6db5d836bc8573d04852b22ad83a30511ae3a2dba967\",0,\"lean_workbook_plus_70634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196450,
+      "path": "data/train/p04/goedel_workbook-001060-0000-7f111d67b554e6b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "7f111d67b554e6b1cc9f917b996a01860795e2185a250a8071b393ce46f413a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001061.json b/manifests/batches/goedel_workbook/001061.json
index 67e298167096e79ce2c2c6939829115472591476..2192d0b44a6eaadb91f1026a937beab98fcd4f60 100644
--- a/manifests/batches/goedel_workbook/001061.json
+++ b/manifests/batches/goedel_workbook/001061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001061",
   "batch_fingerprint": "05caa31740fc38fa0c6d0bc855e8b0583b5a6bbb1dbba9d5b307e75c5df28aa6",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001061-0000-61fc0f6e348aff2b.parquet",
-      "sha256": "61fc0f6e348aff2b727cb3f156b524d8738518b26005a72d2d510fc1d80b2ce8",
-      "bytes": 103373,
-      "rows": 31,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001061-0000-39b182841be8afee.parquet",
-      "sha256": "39b182841be8afee0df5fa4e28aab2dc9c077856ef217d0f3654d900b3c93842",
-      "bytes": 55342,
-      "rows": 11,
-      "revision": "ea43321c2cd37bcb9421eda5f898bac1557a1a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70637",
     "goedel_workbook:lean_workbook_plus_70638",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026540.lean\",\"31630b9e977127985df42326be0031dca60090e8ae0e98ae5bdb15ea7b7db865\",0,\"lean_workbook_plus_70687\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026541.lean\",\"97058c5d3de3319133fdef998cfe450668c6b1a95f5cedd2ca78a4a74268ec31\",0,\"lean_workbook_plus_70700\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026547.lean\",\"708eee233df91dd297441265fca67fe0246dcbe51dfb2a0f35eb08b6441506e5\",0,\"lean_workbook_plus_70734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103373,
+      "path": "data/train/p7f/goedel_workbook-001061-0000-61fc0f6e348aff2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "61fc0f6e348aff2b727cb3f156b524d8738518b26005a72d2d510fc1d80b2ce8"
+    },
+    {
+      "bytes": 55342,
+      "path": "data/internal_test/p7f/goedel_workbook-001061-0000-39b182841be8afee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "39b182841be8afee0df5fa4e28aab2dc9c077856ef217d0f3654d900b3c93842"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001062.json b/manifests/batches/goedel_workbook/001062.json
index a8bb4f958cc410aaad8be7442af8ca7efa254c89..3b2dfd487be4a464bc273a917febc1c2c2c4c542 100644
--- a/manifests/batches/goedel_workbook/001062.json
+++ b/manifests/batches/goedel_workbook/001062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001062",
   "batch_fingerprint": "e9f7a276567a809cba1bcedf7f6492362485c0a0332879bc0ff332af13c3f701",
   "evidence": {
@@ -234,15 +233,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001062-0000-2a905e04ae1694b4.parquet",
-      "sha256": "2a905e04ae1694b473657b21373dd5ee0e8f7bee959d2ef533af4e06cd4d95b8",
-      "bytes": 177237,
-      "rows": 37,
-      "revision": "2f561ef07225f1cfe75899d1264d958a11aa0403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70762",
     "goedel_workbook:lean_workbook_plus_70767",
@@ -274,5 +265,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026570.lean\",\"8d1e3f021ddf6af1355cd293f38ddbfb7ff02cf3813fc794187f4843f6e57fda\",0,\"lean_workbook_plus_70837\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026571.lean\",\"516362484cbdb6c030f44e343c3d5b255bc1306e2c50a188c05d18af2954e44e\",0,\"lean_workbook_plus_70840\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026572.lean\",\"8cbd04f47fe7c76c373ea0ce56bfa94bee86bc702d75c77ef2ee6cbae7efea2d\",0,\"lean_workbook_plus_70844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177237,
+      "path": "data/train/pf2/goedel_workbook-001062-0000-2a905e04ae1694b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "2a905e04ae1694b473657b21373dd5ee0e8f7bee959d2ef533af4e06cd4d95b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001063.json b/manifests/batches/goedel_workbook/001063.json
index 59d117430f437cc2284e28bc8bcb89e4d47c5dea..bb0690dbd03a709c17b399bf3a18d7dabea3d547 100644
--- a/manifests/batches/goedel_workbook/001063.json
+++ b/manifests/batches/goedel_workbook/001063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001063",
   "batch_fingerprint": "fdaff42d3d7e4393c1d2775e9af0ab74c0d111178320d6501ca8cc42a1e0a5c3",
   "evidence": {
@@ -235,15 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001063-0000-499f928bc0135b1f.parquet",
-      "sha256": "499f928bc0135b1f9e58e0359ea58d3c69c4528bfa329c458de777f381c4aa40",
-      "bytes": 100248,
-      "rows": 27,
-      "revision": "916e228efa967b4559a38d958d805b1bc8462a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_70871",
     "goedel_workbook:lean_workbook_plus_70879",
@@ -273,5 +264,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026594.lean\",\"4158c5230138e09952ae7f5a37b73d014f5058c1cd31e4148b5d829dbedd19e9\",0,\"lean_workbook_plus_71006\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026595.lean\",\"4c9528b90f00ddbb0c79aff8ad7c09e8d35ea77d83c5d3260471846bf750b122\",0,\"lean_workbook_plus_71008\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026596.lean\",\"0779a262858a4eed67627787dd7a6ad947257c84ba1adcf45daec11a64abacc2\",0,\"lean_workbook_plus_71010\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100248,
+      "path": "data/train/p8f/goedel_workbook-001063-0000-499f928bc0135b1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "499f928bc0135b1f9e58e0359ea58d3c69c4528bfa329c458de777f381c4aa40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001064.json b/manifests/batches/goedel_workbook/001064.json
index 978bfc9f0ef5156c7fac49ce2d578e5f4faad75c..99ba944784dde6c8b28316802779be41ccd5cb58 100644
--- a/manifests/batches/goedel_workbook/001064.json
+++ b/manifests/batches/goedel_workbook/001064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001064",
   "batch_fingerprint": "bf891182a438f2047bd789e91bff90a9c8a66e79e08c45e81a239c16236ee4d2",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001064-0000-f83d35e624863a4a.parquet",
-      "sha256": "f83d35e624863a4a493f683dee0324499cbd36e93a7fd5b821cf2c9b1d9d35de",
-      "bytes": 162889,
-      "rows": 37,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001064-0000-b7d737de7f000c34.parquet",
-      "sha256": "b7d737de7f000c340d8e27070396e4b1d91e3bd2573d5fd3ecc49768ead99550",
-      "bytes": 76959,
-      "rows": 8,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71044",
     "goedel_workbook:lean_workbook_plus_71047",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026621.lean\",\"da724417cddaa73da86c2039f4649012cfe32b5f29021b6544b64c674c070c22\",0,\"lean_workbook_plus_71103\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026622.lean\",\"6fa107e4ed3f3e0d9b1ca3029271a80882f6c744d603d58db2b91921f39fa978\",0,\"lean_workbook_plus_71115\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026623.lean\",\"e94a9b1993f12ce66f4434b9a8c2a0e65245f9a529fd6c38fbaa54faa5194d7e\",0,\"lean_workbook_plus_71128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162889,
+      "path": "data/train/pe4/goedel_workbook-001064-0000-f83d35e624863a4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f83d35e624863a4a493f683dee0324499cbd36e93a7fd5b821cf2c9b1d9d35de"
+    },
+    {
+      "bytes": 76959,
+      "path": "data/dev/pe4/goedel_workbook-001064-0000-b7d737de7f000c34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b7d737de7f000c340d8e27070396e4b1d91e3bd2573d5fd3ecc49768ead99550"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001065.json b/manifests/batches/goedel_workbook/001065.json
index 9a0c55b759ff2869d859925ad29c89a94b557694..34bd28f35f20747ea7ab8ef436ac5fbcdb7de88c 100644
--- a/manifests/batches/goedel_workbook/001065.json
+++ b/manifests/batches/goedel_workbook/001065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001065",
   "batch_fingerprint": "bfa36304d20bdd6c178a8a66226f1562354f036e83d9f59d25f98e285ed898e4",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001065-0000-2ac7be008a13b703.parquet",
-      "sha256": "2ac7be008a13b703a4bff08db75ca0eac21c3c165e12637fe226d12a39e1f682",
-      "bytes": 162894,
-      "rows": 47,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001065-0000-1988798490ea976b.parquet",
-      "sha256": "1988798490ea976bc238b4d3cafcbe3f0f7473854d8807d9ed237e4165088204",
-      "bytes": 34113,
-      "rows": 2,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001065-0000-0273164cddbb0b31.parquet",
-      "sha256": "0273164cddbb0b3147915047a7b519fec82e09c02558e9ab5582ba02b6bf4948",
-      "bytes": 39730,
-      "rows": 4,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71130",
     "goedel_workbook:lean_workbook_plus_71133",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026644.lean\",\"af49f858e321c45771a0ec79bbfeaf5e6c28d8b32adf86049056bcc4352855d8\",0,\"lean_workbook_plus_71182\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026645.lean\",\"c4d6999ff459de361636f59c68b61f1c652c586b1ba76c87445c32576dbe7a5c\",0,\"lean_workbook_plus_71183\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026649.lean\",\"f94e4cb34b1ddd9e2e71b19ebd5993c3dbccc9a681532ccd68f08655464302b4\",0,\"lean_workbook_plus_71204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162894,
+      "path": "data/train/p28/goedel_workbook-001065-0000-2ac7be008a13b703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "2ac7be008a13b703a4bff08db75ca0eac21c3c165e12637fe226d12a39e1f682"
+    },
+    {
+      "bytes": 34113,
+      "path": "data/dev/p28/goedel_workbook-001065-0000-1988798490ea976b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1988798490ea976bc238b4d3cafcbe3f0f7473854d8807d9ed237e4165088204"
+    },
+    {
+      "bytes": 39730,
+      "path": "data/internal_test/p28/goedel_workbook-001065-0000-0273164cddbb0b31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0273164cddbb0b3147915047a7b519fec82e09c02558e9ab5582ba02b6bf4948"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001066.json b/manifests/batches/goedel_workbook/001066.json
index 18457a2cce1f8daf8c6ae78f2e8035b0852bb82d..6283f5848af054d5e6d69af54ac2500ebee7cab4 100644
--- a/manifests/batches/goedel_workbook/001066.json
+++ b/manifests/batches/goedel_workbook/001066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001066",
   "batch_fingerprint": "2cd693f573fea0e147c11af0b72f176fed46ffacf765b4f5c45ce5792cfb8cef",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001066-0000-69bd96b103ce9567.parquet",
-      "sha256": "69bd96b103ce95670960437862747b8f8d100d4ed6b20f1c194d50648278b5a7",
-      "bytes": 107634,
-      "rows": 28,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001066-0000-77806bd4319b2e73.parquet",
-      "sha256": "77806bd4319b2e73c290624df0de47f54d2221f6019b84c59437d671b3ef8745",
-      "bytes": 66575,
-      "rows": 11,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71216",
     "goedel_workbook:lean_workbook_plus_7123",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026672.lean\",\"927be11b4812e23f4741132ccbf3e56eea79f209784d4312aa619903a850ad24\",0,\"lean_workbook_plus_71314\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026673.lean\",\"1452f0b1f61526f7c50df65ffde020ee53a4cfb73267e217ee7aa3f582277697\",0,\"lean_workbook_plus_71315\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026674.lean\",\"f9977db9f45cc520e6f4011582760964d9d70a3193aab8486c6e8eb578d8cd27\",0,\"lean_workbook_plus_71316\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107634,
+      "path": "data/train/pc9/goedel_workbook-001066-0000-69bd96b103ce9567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "69bd96b103ce95670960437862747b8f8d100d4ed6b20f1c194d50648278b5a7"
+    },
+    {
+      "bytes": 66575,
+      "path": "data/dev/pc9/goedel_workbook-001066-0000-77806bd4319b2e73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "77806bd4319b2e73c290624df0de47f54d2221f6019b84c59437d671b3ef8745"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001067.json b/manifests/batches/goedel_workbook/001067.json
index 3ecee17a30e5acd9ae1e7db1dc4a5c7843780e06..d8d132b3d5bcf39fbe1f4ba24a569d7809fb411d 100644
--- a/manifests/batches/goedel_workbook/001067.json
+++ b/manifests/batches/goedel_workbook/001067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001067",
   "batch_fingerprint": "e8dbe5b540e9fc261f7cda53245f159631a8068986029df7e1f32ca62b1e7710",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001067-0000-81c0266427f04b5c.parquet",
-      "sha256": "81c0266427f04b5cee2202d9947352d5196fe69c664be68a7e9fe8b1d1814591",
-      "bytes": 166165,
-      "rows": 50,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71317",
     "goedel_workbook:lean_workbook_plus_71320",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026693.lean\",\"805f4cc6daf1b934c7fb5ee00cd8f887ece5971f1961cd00deb7205db7aef128\",0,\"lean_workbook_plus_71428\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026694.lean\",\"e243e69b786a16568a6dbc5b073eca0b1cbffceddb65e8d770aa11a7d58c59ac\",0,\"lean_workbook_plus_71430\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026699.lean\",\"fa4ba774cb601556912e5aad34536d9436be0ce1196167fb743812c938d88d19\",0,\"lean_workbook_plus_71443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166165,
+      "path": "data/train/p19/goedel_workbook-001067-0000-81c0266427f04b5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "81c0266427f04b5cee2202d9947352d5196fe69c664be68a7e9fe8b1d1814591"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001068.json b/manifests/batches/goedel_workbook/001068.json
index 5c7387d28b82c9160cfd76af5736b59b1dddd82b..dee54d2c002aa12eb619db5d150a8b910ac546da 100644
--- a/manifests/batches/goedel_workbook/001068.json
+++ b/manifests/batches/goedel_workbook/001068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001068",
   "batch_fingerprint": "8c6ce33793dc7a2b27ada67c128487a5867e91e38ed8e1d6ed7e46b477a43f96",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001068-0000-7b51676069d66c6d.parquet",
-      "sha256": "7b51676069d66c6dd2c303fe5e97406c0d5aedfda18e71a97ae3967542c2e0be",
-      "bytes": 143108,
-      "rows": 37,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001068-0000-9082694d6526857e.parquet",
-      "sha256": "9082694d6526857e857245b264e0b70e9576d97d9aa8996907019e595bca9c26",
-      "bytes": 41055,
-      "rows": 4,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71452",
     "goedel_workbook:lean_workbook_plus_71469",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026719.lean\",\"6a2664a60d87bf734c80d7c3008dbcafacd1d732281fc3b988f0f90e1b55a06f\",0,\"lean_workbook_plus_71539\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026722.lean\",\"03b2f264b1800cce67a440278edf44ac927e33b646bc868336882b6c64e6c5dd\",0,\"lean_workbook_plus_71548\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026723.lean\",\"f286cc7076513292309a0b0e0c96b02857af998a12070c72f25c0207362872ed\",0,\"lean_workbook_plus_71556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143108,
+      "path": "data/train/p9d/goedel_workbook-001068-0000-7b51676069d66c6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "7b51676069d66c6dd2c303fe5e97406c0d5aedfda18e71a97ae3967542c2e0be"
+    },
+    {
+      "bytes": 41055,
+      "path": "data/internal_test/p9d/goedel_workbook-001068-0000-9082694d6526857e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9082694d6526857e857245b264e0b70e9576d97d9aa8996907019e595bca9c26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001069.json b/manifests/batches/goedel_workbook/001069.json
index 36db3a0b900abf0eaa4635ea60c21fb83385e057..82e53d54823e66c022707f6638072966e08b432e 100644
--- a/manifests/batches/goedel_workbook/001069.json
+++ b/manifests/batches/goedel_workbook/001069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001069",
   "batch_fingerprint": "2a1359ae936b747e954a2ecb776fef7eea1e4b3f6f5dd4338e4b07849e0526a9",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001069-0000-3d14c6379e873711.parquet",
-      "sha256": "3d14c6379e8737116dc8f81a9e87005db15546a84b5b934505994484c5167554",
-      "bytes": 111474,
-      "rows": 30,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001069-0000-39877864c23af318.parquet",
-      "sha256": "39877864c23af318656c7451b7fa0f8f3add0140a022ca2a10757b475a271d98",
-      "bytes": 30045,
-      "rows": 1,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001069-0000-66eb1f3157ac98f4.parquet",
-      "sha256": "66eb1f3157ac98f401279c8127df91db728423ead52d3d8962d3b451dcb76256",
-      "bytes": 56287,
-      "rows": 10,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71582",
     "goedel_workbook:lean_workbook_plus_71584",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026746.lean\",\"7dd9155cf7fd745ddfd2d51fec13c443a2f8c3d96e620d85cfdbfd8eb6f25dfb\",0,\"lean_workbook_plus_71658\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026748.lean\",\"2d84ec7aed8a71aa7c37e10f8f5a9f1bf17505e4b29c6085a2c4253bc9384c8a\",0,\"lean_workbook_plus_71661\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026749.lean\",\"526b81031d761f12b73f2d29752061f6b7d4b823cd70522553dfd5b759968188\",0,\"lean_workbook_plus_71663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111474,
+      "path": "data/train/pb8/goedel_workbook-001069-0000-3d14c6379e873711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "3d14c6379e8737116dc8f81a9e87005db15546a84b5b934505994484c5167554"
+    },
+    {
+      "bytes": 30045,
+      "path": "data/dev/pb8/goedel_workbook-001069-0000-39877864c23af318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "39877864c23af318656c7451b7fa0f8f3add0140a022ca2a10757b475a271d98"
+    },
+    {
+      "bytes": 56287,
+      "path": "data/internal_test/pb8/goedel_workbook-001069-0000-66eb1f3157ac98f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "66eb1f3157ac98f401279c8127df91db728423ead52d3d8962d3b451dcb76256"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001070.json b/manifests/batches/goedel_workbook/001070.json
index 26ff95d56463f39d2c9e2c6b2487dcfdcbea8a71..9a9678b0c32fd488d3962171c785b59fc343f67a 100644
--- a/manifests/batches/goedel_workbook/001070.json
+++ b/manifests/batches/goedel_workbook/001070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001070",
   "batch_fingerprint": "832e4d03751f5f28dfca90400543cb6eef7a4ff36374b4e9fe62628381bb5150",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001070-0000-d64086084de6f6f1.parquet",
-      "sha256": "d64086084de6f6f1a975d4627f636196b479a15f50ddbcbfa94671b149e2446e",
-      "bytes": 200456,
-      "rows": 48,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001070-0000-93429a2f9292d070.parquet",
-      "sha256": "93429a2f9292d070a3eff28ecac44c4633f6d4c280c1ab73d594610ca410a0ed",
-      "bytes": 126353,
-      "rows": 20,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71668",
     "goedel_workbook:lean_workbook_plus_71674",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026772.lean\",\"070c14b0b8546c499227e1086eacc898574b06a4fde6360f9e9432c8c491b94b\",0,\"lean_workbook_plus_71767\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026773.lean\",\"0e2314b0d04045323fb725f4f8f69e3fb046001d888d18716a347f36bb9cb14b\",0,\"lean_workbook_plus_71768\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026774.lean\",\"cdd0a7c934efcee4a08e77d3c141289e20439d871d5b12d1374a034a54a1ec56\",0,\"lean_workbook_plus_7177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200456,
+      "path": "data/train/p78/goedel_workbook-001070-0000-d64086084de6f6f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "d64086084de6f6f1a975d4627f636196b479a15f50ddbcbfa94671b149e2446e"
+    },
+    {
+      "bytes": 126353,
+      "path": "data/internal_test/p78/goedel_workbook-001070-0000-93429a2f9292d070.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "93429a2f9292d070a3eff28ecac44c4633f6d4c280c1ab73d594610ca410a0ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001071.json b/manifests/batches/goedel_workbook/001071.json
index 374e036075b1a534754af65aafec6079faeab5bf..02f02749c08d0052d29bfd0c8d3ba822cb8c8192 100644
--- a/manifests/batches/goedel_workbook/001071.json
+++ b/manifests/batches/goedel_workbook/001071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001071",
   "batch_fingerprint": "4bcb654d8206a0dd10e3ccaf2b1695033bcf21a6be942fe1c176d543291c3bfa",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001071-0000-0119daae3ca0f039.parquet",
-      "sha256": "0119daae3ca0f0399e4fb9cc1474084dad6432fbd5f5561ebcc0f2d0161bdcc9",
-      "bytes": 220748,
-      "rows": 54,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001071-0000-5c0b9d440759671c.parquet",
-      "sha256": "5c0b9d440759671c6aec238aa3ae1492e6dfb82320205efc2ea9b61e54024553",
-      "bytes": 34461,
-      "rows": 2,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001071-0000-51a30d61de3e32b0.parquet",
-      "sha256": "51a30d61de3e32b0b50855db3fc48041b68e176e6a81c0c04b2e9d3498b3439a",
-      "bytes": 31932,
-      "rows": 3,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71770",
     "goedel_workbook:lean_workbook_plus_71778",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026796.lean\",\"32390dcfb27843d5334abc510f474ec1a4091d7d2f79e0a497f1221e6d835df9\",0,\"lean_workbook_plus_71847\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026797.lean\",\"d6ad5a546f6d1f856c993bf93cc5cccb810ef5ac612d3cd43779062bf9c627db\",0,\"lean_workbook_plus_71848\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026798.lean\",\"bc84dcfc7a70881c959a2540512f040ebc0bec33cdebf48fcb877680c590ffc8\",0,\"lean_workbook_plus_71850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220748,
+      "path": "data/train/pcb/goedel_workbook-001071-0000-0119daae3ca0f039.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "0119daae3ca0f0399e4fb9cc1474084dad6432fbd5f5561ebcc0f2d0161bdcc9"
+    },
+    {
+      "bytes": 34461,
+      "path": "data/dev/pcb/goedel_workbook-001071-0000-5c0b9d440759671c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5c0b9d440759671c6aec238aa3ae1492e6dfb82320205efc2ea9b61e54024553"
+    },
+    {
+      "bytes": 31932,
+      "path": "data/internal_test/pcb/goedel_workbook-001071-0000-51a30d61de3e32b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "51a30d61de3e32b0b50855db3fc48041b68e176e6a81c0c04b2e9d3498b3439a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001072.json b/manifests/batches/goedel_workbook/001072.json
index 1d6be7339dc20c5466bd09984822b4b4fc74d830..78331ff2d745b91240c4d74d449bc44fb570c3c1 100644
--- a/manifests/batches/goedel_workbook/001072.json
+++ b/manifests/batches/goedel_workbook/001072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001072",
   "batch_fingerprint": "3fe75229280a28f5c48250e64deac7f3ee04ed366c227122a0d411f584a085bd",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001072-0000-fe1e1488b2e3e405.parquet",
-      "sha256": "fe1e1488b2e3e405970e39bd23a9b225d6e4a49895db9807c1a94b0b1a448adf",
-      "bytes": 129783,
-      "rows": 34,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001072-0000-d5e1edbed5944397.parquet",
-      "sha256": "d5e1edbed59443979cf93fca58b87d80eb3faf500dfb77a29f74568c89720fc1",
-      "bytes": 30407,
-      "rows": 1,
-      "revision": "44d5f0e84d019cabbb2aafe8490dfadaa2eb6875"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71862",
     "goedel_workbook:lean_workbook_plus_71868",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026822.lean\",\"d9e5d75f98497edd1fc639c11f7f283b9dfb0b5e9b167af1ebe72524cf8cd7ff\",0,\"lean_workbook_plus_71947\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026823.lean\",\"1ac97001492d202396674a9801c185ab45135913c89c79243cccee6c4842f2d3\",0,\"lean_workbook_plus_71950\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026824.lean\",\"e879c319fd77f5db79a0fcc62283c23c53b44233c1c37b4708c9fb6a4554565e\",0,\"lean_workbook_plus_7196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129783,
+      "path": "data/train/pb2/goedel_workbook-001072-0000-fe1e1488b2e3e405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fe1e1488b2e3e405970e39bd23a9b225d6e4a49895db9807c1a94b0b1a448adf"
+    },
+    {
+      "bytes": 30407,
+      "path": "data/dev/pb2/goedel_workbook-001072-0000-d5e1edbed5944397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d5e1edbed59443979cf93fca58b87d80eb3faf500dfb77a29f74568c89720fc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001073.json b/manifests/batches/goedel_workbook/001073.json
index c5c22602ea2e71d2016b36193068de1182fa8210..1d4e3fc36fa2e902c506e12a5894ec655f6e863f 100644
--- a/manifests/batches/goedel_workbook/001073.json
+++ b/manifests/batches/goedel_workbook/001073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001073",
   "batch_fingerprint": "25596052012a05dbdd3665a0fc320b151c8ce63f56c282cfacb4e7a57594dbec",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001073-0000-c9a06f2809c5cd2b.parquet",
-      "sha256": "c9a06f2809c5cd2b0dcb0e31e2fa4014b4007bc80d07273324e665339166792b",
-      "bytes": 193009,
-      "rows": 38,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001073-0000-d13d2c1b30743359.parquet",
-      "sha256": "d13d2c1b30743359b1cdcb037526490d1383c2676d73c52950b7ee3bc128f399",
-      "bytes": 81080,
-      "rows": 11,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001073-0000-96a4dc3442caaede.parquet",
-      "sha256": "96a4dc3442caaedee738640141816c69e0e00505237dea3b1463bc003f2902b4",
-      "bytes": 40299,
-      "rows": 7,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_71965",
     "goedel_workbook:lean_workbook_plus_71968",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026843.lean\",\"b4cd4b81dd1ce8ec5c595690986be7efa2c83ff7f5989c6e218cd1e1a41a050f\",0,\"lean_workbook_plus_7201\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026844.lean\",\"ea9905d1385dfca99439247bc51d2ede8ff701ce5550043d7eb9cbb5e15e3e20\",0,\"lean_workbook_plus_72010\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026849.lean\",\"0e2bc22d3f6fef9779a4472c6b137bcde42fb1728a10f18cba437ef18d42c9e5\",0,\"lean_workbook_plus_72030\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193009,
+      "path": "data/train/p86/goedel_workbook-001073-0000-c9a06f2809c5cd2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "c9a06f2809c5cd2b0dcb0e31e2fa4014b4007bc80d07273324e665339166792b"
+    },
+    {
+      "bytes": 81080,
+      "path": "data/dev/p86/goedel_workbook-001073-0000-d13d2c1b30743359.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d13d2c1b30743359b1cdcb037526490d1383c2676d73c52950b7ee3bc128f399"
+    },
+    {
+      "bytes": 40299,
+      "path": "data/internal_test/p86/goedel_workbook-001073-0000-96a4dc3442caaede.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "96a4dc3442caaedee738640141816c69e0e00505237dea3b1463bc003f2902b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001074.json b/manifests/batches/goedel_workbook/001074.json
index 29abc31e76f5227e34e83a9a623a520ebb7619ab..60a55d0c70bd2c9fa3e7807a505dbb714bbd9054 100644
--- a/manifests/batches/goedel_workbook/001074.json
+++ b/manifests/batches/goedel_workbook/001074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001074",
   "batch_fingerprint": "8237c2f4c84142d9be8315b4561cf3adbfb51b15a696cbbc6bf1b1687523df97",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001074-0000-d944f2aa2c06682e.parquet",
-      "sha256": "d944f2aa2c06682eee229ab741adeae583d98522c804949a208bf68c6033a058",
-      "bytes": 414535,
-      "rows": 27,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001074-0000-3c827d8567f88d8a.parquet",
-      "sha256": "3c827d8567f88d8a440feda1b8734c85aae58a9952f8fa291c0be7d8bf133f9c",
-      "bytes": 40196,
-      "rows": 1,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001074-0000-81ba21c917eaf005.parquet",
-      "sha256": "81ba21c917eaf005957da52ae907aa0fff5265e321c6740d24a1253172ef5a96",
-      "bytes": 38958,
-      "rows": 6,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72037",
     "goedel_workbook:lean_workbook_plus_7206",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026869.lean\",\"dbc2eee541a201c4a83da898b362a579abafe55c1ccc98b49dc1c7a2cec02f81\",0,\"lean_workbook_plus_7211\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026870.lean\",\"f9e42b2ad74e9a6d3968ab266e6a180d015b5272a4aaf5a79891bf509b85eb1b\",0,\"lean_workbook_plus_72115\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026874.lean\",\"f06be7a1c72cc5b792e6d54ebd445b32e4db8f19dd03765e339d8b6ae12488bf\",0,\"lean_workbook_plus_7213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414535,
+      "path": "data/train/pb5/goedel_workbook-001074-0000-d944f2aa2c06682e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "d944f2aa2c06682eee229ab741adeae583d98522c804949a208bf68c6033a058"
+    },
+    {
+      "bytes": 40196,
+      "path": "data/dev/pb5/goedel_workbook-001074-0000-3c827d8567f88d8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3c827d8567f88d8a440feda1b8734c85aae58a9952f8fa291c0be7d8bf133f9c"
+    },
+    {
+      "bytes": 38958,
+      "path": "data/internal_test/pb5/goedel_workbook-001074-0000-81ba21c917eaf005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "81ba21c917eaf005957da52ae907aa0fff5265e321c6740d24a1253172ef5a96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001075.json b/manifests/batches/goedel_workbook/001075.json
index d2079b3a92ac1831c0e474296587e4d3bf114fee..14e493e818847509d0572ba4fec368c596ab7bcc 100644
--- a/manifests/batches/goedel_workbook/001075.json
+++ b/manifests/batches/goedel_workbook/001075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001075",
   "batch_fingerprint": "c2e541a6d93dd87b7c1866e18db99a472bccb0fceed046202627f3d5cab84fc3",
   "evidence": {
@@ -280,22 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001075-0000-8b021bea357ea1dd.parquet",
-      "sha256": "8b021bea357ea1ddb6e8a1dab8878dd45d3b47a00092da15dbef6c711e66afdd",
-      "bytes": 137633,
-      "rows": 23,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001075-0000-b0823058d493c43b.parquet",
-      "sha256": "b0823058d493c43b2ec42bf83d2c44ff1a49eb416f7633777351dbb7a53adb55",
-      "bytes": 66107,
-      "rows": 12,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72135",
     "goedel_workbook:lean_workbook_plus_72139",
@@ -321,5 +305,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026897.lean\",\"14e053adf68d4640414eb5f1806294717b2e9cd1518b9060c1cb6300be6f3333\",0,\"lean_workbook_plus_72204\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026898.lean\",\"906fefec45a0e4a4fd496e5f31944f127990329d173ecc35a97175e823f9f324\",0,\"lean_workbook_plus_72207\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026899.lean\",\"ed8311364c419bc727c204ebba8e7ffc6b175fc3bb5b10c3b56d4fca067fdcce\",0,\"lean_workbook_plus_72212\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137633,
+      "path": "data/train/p39/goedel_workbook-001075-0000-8b021bea357ea1dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8b021bea357ea1ddb6e8a1dab8878dd45d3b47a00092da15dbef6c711e66afdd"
+    },
+    {
+      "bytes": 66107,
+      "path": "data/internal_test/p39/goedel_workbook-001075-0000-b0823058d493c43b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b0823058d493c43b2ec42bf83d2c44ff1a49eb416f7633777351dbb7a53adb55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001076.json b/manifests/batches/goedel_workbook/001076.json
index 090c5b3e1459f648201405cfc7ff60fe4fe71c62..c23e44eaafc890130093b0c37b86dcbfde2cd4e5 100644
--- a/manifests/batches/goedel_workbook/001076.json
+++ b/manifests/batches/goedel_workbook/001076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001076",
   "batch_fingerprint": "c8b986fca374f33779b1bbe746edaa536d1be73dbf2f3d2a613095d13b4c9c58",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001076-0000-448c76a4851086e2.parquet",
-      "sha256": "448c76a4851086e2fc93452eae1cd8994ba12287e7303859a6c0137fae987545",
-      "bytes": 187765,
-      "rows": 25,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001076-0000-4872479b954b94ec.parquet",
-      "sha256": "4872479b954b94ecfd6a85ab5ab9b8ebfbe4c0ed3a475cff7e55ff086000319b",
-      "bytes": 43926,
-      "rows": 3,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001076-0000-92b6eb3acec0988d.parquet",
-      "sha256": "92b6eb3acec0988df1b8ee857ee1557ad372ebbbfd2b5aaadedaf12fd6c2fdbd",
-      "bytes": 39304,
-      "rows": 10,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72221",
     "goedel_workbook:lean_workbook_plus_72226",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026921.lean\",\"bf875b2ff912ebe522c614ff689106868b995fe65bf324d96724a5bdd010adf0\",0,\"lean_workbook_plus_7234\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026922.lean\",\"bb78ea2533004d1366441be79a65464efcecb38042660518194fbee7d5eee6d4\",0,\"lean_workbook_plus_7235\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026924.lean\",\"7fe745a459f4a03e4fbf6bd226f1ad7ac269aaffea5e2d1191c0d6615e8b8eb5\",0,\"lean_workbook_plus_7236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187765,
+      "path": "data/train/pf4/goedel_workbook-001076-0000-448c76a4851086e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "448c76a4851086e2fc93452eae1cd8994ba12287e7303859a6c0137fae987545"
+    },
+    {
+      "bytes": 43926,
+      "path": "data/dev/pf4/goedel_workbook-001076-0000-4872479b954b94ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4872479b954b94ecfd6a85ab5ab9b8ebfbe4c0ed3a475cff7e55ff086000319b"
+    },
+    {
+      "bytes": 39304,
+      "path": "data/internal_test/pf4/goedel_workbook-001076-0000-92b6eb3acec0988d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "92b6eb3acec0988df1b8ee857ee1557ad372ebbbfd2b5aaadedaf12fd6c2fdbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001077.json b/manifests/batches/goedel_workbook/001077.json
index 64e82df657bb6597992f24a4817df11acad86c36..77c7a33e59664620c171e68a0449eb0858a1bffc 100644
--- a/manifests/batches/goedel_workbook/001077.json
+++ b/manifests/batches/goedel_workbook/001077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001077",
   "batch_fingerprint": "d355bb699df76b4e239a42bee7bae617ba63e7812367f10c9c054550ab6815a8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001077-0000-2b1d193a0af6eb45.parquet",
-      "sha256": "2b1d193a0af6eb4522c09dd8d1269b2d28aaf6ce0c046b67df81a316f096038e",
-      "bytes": 159315,
-      "rows": 34,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001077-0000-7fe6e169136d98ed.parquet",
-      "sha256": "7fe6e169136d98edaefe695c2efc9db3fffada89bdc8a1ffb0b0bef2a6b1a08a",
-      "bytes": 40247,
-      "rows": 4,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72364",
     "goedel_workbook:lean_workbook_plus_7237",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026945.lean\",\"c64ef5085d32d8c09ab87cd63f201641061a9392dc0723f88a9666956f81376e\",0,\"lean_workbook_plus_72451\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026947.lean\",\"3412e577ec662a6d7851ff80934148f7b2eefb90c34d1acc60aca7ee96120f21\",0,\"lean_workbook_plus_72459\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026948.lean\",\"5c463617c0a03107900d3966478d371eacaee7a0babf629b8e32fc72e1fd725a\",0,\"lean_workbook_plus_72464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159315,
+      "path": "data/train/p14/goedel_workbook-001077-0000-2b1d193a0af6eb45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "2b1d193a0af6eb4522c09dd8d1269b2d28aaf6ce0c046b67df81a316f096038e"
+    },
+    {
+      "bytes": 40247,
+      "path": "data/internal_test/p14/goedel_workbook-001077-0000-7fe6e169136d98ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7fe6e169136d98edaefe695c2efc9db3fffada89bdc8a1ffb0b0bef2a6b1a08a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001078.json b/manifests/batches/goedel_workbook/001078.json
index bb3ee088f4d0e27356a97568173f3851573dd9b5..a6c64f8fdbeeb2a0ee2458e6e9b1c5b70475cb92 100644
--- a/manifests/batches/goedel_workbook/001078.json
+++ b/manifests/batches/goedel_workbook/001078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001078",
   "batch_fingerprint": "3183784693fc51c6f8af4b9ba2918450438f708f90272f949b5548da5910bbeb",
   "evidence": {
@@ -127,22 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001078-0000-f6e2ffc97ae7120e.parquet",
-      "sha256": "f6e2ffc97ae7120e57faf27fdbe41b1d206e8a592fe60c18ec3555cff066ddb5",
-      "bytes": 181030,
-      "rows": 33,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001078-0000-8c1f59363611ff90.parquet",
-      "sha256": "8c1f59363611ff90359e565de937526a7572f2f1b1d272c35455cab08c4c6fbe",
-      "bytes": 63598,
-      "rows": 12,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72477",
     "goedel_workbook:lean_workbook_plus_72479",
@@ -184,5 +168,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026971.lean\",\"771b02741c67e1ed6bc97cd9288205722edbf2e93bba76c769df5aa4bb01bc63\",0,\"lean_workbook_plus_72566\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026972.lean\",\"9a25c2d0bd2db2596bad97fd9551b667439a08b1bd51eece5d34dfd8d5017ea4\",0,\"lean_workbook_plus_72567\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026974.lean\",\"0ac83c7e41ed6d56814898161d61f5151cfcbfffbc32e092d6c01af456ea651a\",0,\"lean_workbook_plus_7257\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181030,
+      "path": "data/train/p12/goedel_workbook-001078-0000-f6e2ffc97ae7120e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "f6e2ffc97ae7120e57faf27fdbe41b1d206e8a592fe60c18ec3555cff066ddb5"
+    },
+    {
+      "bytes": 63598,
+      "path": "data/internal_test/p12/goedel_workbook-001078-0000-8c1f59363611ff90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8c1f59363611ff90359e565de937526a7572f2f1b1d272c35455cab08c4c6fbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001079.json b/manifests/batches/goedel_workbook/001079.json
index 2471a069b9c3843561cb01245ad8bded89d7416d..59576303684c7d1064aaf9f66a847928fece79db 100644
--- a/manifests/batches/goedel_workbook/001079.json
+++ b/manifests/batches/goedel_workbook/001079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001079",
   "batch_fingerprint": "81f67b43fe3b8762d3a1e32cfff39cb3e4c4b071dc00cc8f565b30a6339cbef4",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001079-0000-567576f341e58439.parquet",
-      "sha256": "567576f341e58439eac9ebc00c62a00239cca3f7c913154f0a34c6a908e79310",
-      "bytes": 160872,
-      "rows": 39,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001079-0000-28d24e6154cbe01c.parquet",
-      "sha256": "28d24e6154cbe01c447e2d1803f5cc59bb53f88f6472f2da0246cbc4fcf26607",
-      "bytes": 31846,
-      "rows": 2,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72584",
     "goedel_workbook:lean_workbook_plus_72587",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026992.lean\",\"5c5e11ea563c2ef78702a499faa8612ed9310e7da16e1c9740828a41263f952f\",0,\"lean_workbook_plus_72661\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026994.lean\",\"afd7db469771bcb0dbe2257ff11ddfda95ba743a68ac71be311f718179867fce\",0,\"lean_workbook_plus_72668\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_026998.lean\",\"812e945ae639021e1db9aa258ac18e24a3af5cf29dd11bdf87561e81406b47a6\",0,\"lean_workbook_plus_72687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160872,
+      "path": "data/train/p8b/goedel_workbook-001079-0000-567576f341e58439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "567576f341e58439eac9ebc00c62a00239cca3f7c913154f0a34c6a908e79310"
+    },
+    {
+      "bytes": 31846,
+      "path": "data/dev/p8b/goedel_workbook-001079-0000-28d24e6154cbe01c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "28d24e6154cbe01c447e2d1803f5cc59bb53f88f6472f2da0246cbc4fcf26607"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001080.json b/manifests/batches/goedel_workbook/001080.json
index dd46dd04e900171898d2a337f6064983e589d85a..c328825772388d5fd6be5b5b3bf46733b3eebc71 100644
--- a/manifests/batches/goedel_workbook/001080.json
+++ b/manifests/batches/goedel_workbook/001080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001080",
   "batch_fingerprint": "5755d5beaa281c87de524e87188b25448c4e292d5b01c9042acbc7a0ae479293",
   "evidence": {
@@ -154,36 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001080-0000-8d16a381582e1611.parquet",
-      "sha256": "8d16a381582e1611fb5e4bd26383a6746767f7049328118c33d0eb5193b51067",
-      "bytes": 176110,
-      "rows": 49,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001080-0000-4e6b9184f4122c93.parquet",
-      "sha256": "4e6b9184f4122c937c4c520b80d553230a6fba062d4ea5e35ae7aed64b318083",
-      "bytes": 33485,
-      "rows": 1,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001080-0000-37a145367f7fc357.parquet",
-      "sha256": "37a145367f7fc357ed2eb76fa1dfb90685bc4906af2774c86f366c83302d5d9e",
-      "bytes": 43491,
-      "rows": 4,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-001080-0000-b6fec6ceafc5da55.parquet",
-      "sha256": "b6fec6ceafc5da55f8760ed85026e54bd7b09384c70f651289c990b636d7738f",
-      "bytes": 36462,
-      "rows": 2,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72695",
     "goedel_workbook:lean_workbook_plus_727",
@@ -223,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027021.lean\",\"6941cc1d20e88b61174ce2e4b15055da518b040f5931a743bd8bcae3f0faf181\",0,\"lean_workbook_plus_72783\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027023.lean\",\"25621cd469bc13b045679754b63e0df951bbf2f234de2c6694a4d797b9da26b3\",0,\"lean_workbook_plus_72785\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027024.lean\",\"2e33d9f9f160dad1c4b25317de51b407c4d69237b2c02cfd0283511e30854a3b\",0,\"lean_workbook_plus_72787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176110,
+      "path": "data/train/pe8/goedel_workbook-001080-0000-8d16a381582e1611.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "8d16a381582e1611fb5e4bd26383a6746767f7049328118c33d0eb5193b51067"
+    },
+    {
+      "bytes": 33485,
+      "path": "data/dev/pe8/goedel_workbook-001080-0000-4e6b9184f4122c93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e6b9184f4122c937c4c520b80d553230a6fba062d4ea5e35ae7aed64b318083"
+    },
+    {
+      "bytes": 43491,
+      "path": "data/internal_test/pe8/goedel_workbook-001080-0000-37a145367f7fc357.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "37a145367f7fc357ed2eb76fa1dfb90685bc4906af2774c86f366c83302d5d9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001081.json b/manifests/batches/goedel_workbook/001081.json
index 66f2b40b7ae15cd8032f544aa71d4a509e4648d0..a811ee08391457baf03d0bfd4f9888b2e4f07cb8 100644
--- a/manifests/batches/goedel_workbook/001081.json
+++ b/manifests/batches/goedel_workbook/001081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001081",
   "batch_fingerprint": "e51b25215ebcaad561a7c7842299084b76f3654af1784a23f9b64ce440995fbe",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001081-0000-b256ff3e19802115.parquet",
-      "sha256": "b256ff3e198021152c3576aab1fc89312f26c48d13463afdf72041533b8d55ad",
-      "bytes": 145277,
-      "rows": 29,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001081-0000-a539e61760250f05.parquet",
-      "sha256": "a539e61760250f057fe9740494c5f8f6f25e7f84c67964889c774e2adc159940",
-      "bytes": 60395,
-      "rows": 9,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001081-0000-0b4c9b69213ba7e3.parquet",
-      "sha256": "0b4c9b69213ba7e321951b7c2ab348ce2edb756f41f48a3c1373d8bbb22adb02",
-      "bytes": 37767,
-      "rows": 4,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72794",
     "goedel_workbook:lean_workbook_plus_72809",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027044.lean\",\"af082649e2858eaf20bfcd402bfa0919c8cbf14a0d911aada074304b4e8337de\",0,\"lean_workbook_plus_72876\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027047.lean\",\"8a2ec0574563434cc07eaffad7f3953bf92d6230e7243880586db84feff1adee\",0,\"lean_workbook_plus_72886\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027048.lean\",\"ebf33c8d84319c10d7dd44c13bd45388da57e9fa49a85b4cf3fd8e78467060ec\",0,\"lean_workbook_plus_72890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145277,
+      "path": "data/train/pcc/goedel_workbook-001081-0000-b256ff3e19802115.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b256ff3e198021152c3576aab1fc89312f26c48d13463afdf72041533b8d55ad"
+    },
+    {
+      "bytes": 60395,
+      "path": "data/dev/pcc/goedel_workbook-001081-0000-a539e61760250f05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a539e61760250f057fe9740494c5f8f6f25e7f84c67964889c774e2adc159940"
+    },
+    {
+      "bytes": 37767,
+      "path": "data/internal_test/pcc/goedel_workbook-001081-0000-0b4c9b69213ba7e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0b4c9b69213ba7e321951b7c2ab348ce2edb756f41f48a3c1373d8bbb22adb02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001082.json b/manifests/batches/goedel_workbook/001082.json
index 8211b5267193d5b036aef79d1c72638f17fbe585..d1d7309dff769369e213e98bc842bb31ef13eaa3 100644
--- a/manifests/batches/goedel_workbook/001082.json
+++ b/manifests/batches/goedel_workbook/001082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001082",
   "batch_fingerprint": "780a1e8d90318e7886253d3307d7fbfc2df78560c03c43295cfb15a7a704f789",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001082-0000-f108fd54b8734834.parquet",
-      "sha256": "f108fd54b87348344b3fb1071db81807da14dbcf1acb47c2b3929246048e9321",
-      "bytes": 156115,
-      "rows": 43,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001082-0000-066e445bf9cc626a.parquet",
-      "sha256": "066e445bf9cc626aeca5921622dc577a18e0967f5c58bf69c8b5f458409ac2d3",
-      "bytes": 38188,
-      "rows": 5,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001082-0000-717389a88c072ebc.parquet",
-      "sha256": "717389a88c072ebca2c0d54fa778153de6718e207e76c0a07e4def2e6c79d1ec",
-      "bytes": 57004,
-      "rows": 6,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72893",
     "goedel_workbook:lean_workbook_plus_72895",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027071.lean\",\"a3a6456ff706ca8c0e4918b74557c5f2d14d36d94bb16d33864712280ea9b016\",0,\"lean_workbook_plus_72948\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027072.lean\",\"58ae44de014a1adf2fe493962321d8e1b910bb5a8b4523d956abaea5492cc628\",0,\"lean_workbook_plus_72962\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027074.lean\",\"4622c02c157f2e3da4538cd8f695fd6687808f47cf134ef6965f584f34004b49\",0,\"lean_workbook_plus_72964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156115,
+      "path": "data/train/p16/goedel_workbook-001082-0000-f108fd54b8734834.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "f108fd54b87348344b3fb1071db81807da14dbcf1acb47c2b3929246048e9321"
+    },
+    {
+      "bytes": 38188,
+      "path": "data/dev/p16/goedel_workbook-001082-0000-066e445bf9cc626a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "066e445bf9cc626aeca5921622dc577a18e0967f5c58bf69c8b5f458409ac2d3"
+    },
+    {
+      "bytes": 57004,
+      "path": "data/internal_test/p16/goedel_workbook-001082-0000-717389a88c072ebc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "717389a88c072ebca2c0d54fa778153de6718e207e76c0a07e4def2e6c79d1ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001083.json b/manifests/batches/goedel_workbook/001083.json
index 7dbd914a91b4306667411bcaf993249eff2a0c6e..954993ea22c92320bc306bb7fcdb385c35b19973 100644
--- a/manifests/batches/goedel_workbook/001083.json
+++ b/manifests/batches/goedel_workbook/001083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001083",
   "batch_fingerprint": "dd5e0de07a1a495b0e75899adf972c2d74702c3f8b519d83dd72ed1f23523863",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001083-0000-e76effd0356745a3.parquet",
-      "sha256": "e76effd0356745a342aa8d16fef518d56a8135b96500cc64e4261e5227fac853",
-      "bytes": 137371,
-      "rows": 40,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001083-0000-6beb40abd39e6781.parquet",
-      "sha256": "6beb40abd39e6781d869ab127ce7bcfbe0b45691766b839cb8de1c6be663e01a",
-      "bytes": 38022,
-      "rows": 4,
-      "revision": "6d6ab043d0dabb78c19758f53cbce6281debb396"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_72970",
     "goedel_workbook:lean_workbook_plus_72972",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027092.lean\",\"369d4eeb0d5084fa26fb7b3800b6006cf7e1fcdcc656542d237b30dff5ee7cb6\",0,\"lean_workbook_plus_73087\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 137371,
+      "path": "data/train/p4c/goedel_workbook-001083-0000-e76effd0356745a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e76effd0356745a342aa8d16fef518d56a8135b96500cc64e4261e5227fac853"
+    },
+    {
+      "bytes": 38022,
+      "path": "data/dev/p4c/goedel_workbook-001083-0000-6beb40abd39e6781.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6beb40abd39e6781d869ab127ce7bcfbe0b45691766b839cb8de1c6be663e01a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001084.json b/manifests/batches/goedel_workbook/001084.json
index 2b9aa79e528345b77ee6eab0dad1e00c2aa962d4..f19593097bacda613809a9f9ec3205fdfed8d1d6 100644
--- a/manifests/batches/goedel_workbook/001084.json
+++ b/manifests/batches/goedel_workbook/001084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001084",
   "batch_fingerprint": "8cddef2addae702ee61813eab0bf67cc768addeeb803f9e6da24fff55d9bd4e1",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001084-0000-19ee373e3997bc68.parquet",
-      "sha256": "19ee373e3997bc6867c182bea1a57dbcbab0d2ef9f1a9994ab3fb01d334230cf",
-      "bytes": 168785,
-      "rows": 38,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001084-0000-04f59e1e1b5e7d9c.parquet",
-      "sha256": "04f59e1e1b5e7d9cde3831e34a43d0e739768d94a59bb587d97e80f0b430dd94",
-      "bytes": 51707,
-      "rows": 5,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001084-0000-ad0b64767d25432c.parquet",
-      "sha256": "ad0b64767d25432c6e32e23c07b12f3e22432bb5ff69d73f698d9fc696e9e1ee",
-      "bytes": 30792,
-      "rows": 1,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73121",
     "goedel_workbook:lean_workbook_plus_73129",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027122.lean\",\"53859c8afbfede1337ca77ee95274322d819b1b3a722b3b705909a594eda440a\",0,\"lean_workbook_plus_73229\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 168785,
+      "path": "data/train/p5c/goedel_workbook-001084-0000-19ee373e3997bc68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "19ee373e3997bc6867c182bea1a57dbcbab0d2ef9f1a9994ab3fb01d334230cf"
+    },
+    {
+      "bytes": 51707,
+      "path": "data/dev/p5c/goedel_workbook-001084-0000-04f59e1e1b5e7d9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "04f59e1e1b5e7d9cde3831e34a43d0e739768d94a59bb587d97e80f0b430dd94"
+    },
+    {
+      "bytes": 30792,
+      "path": "data/internal_test/p5c/goedel_workbook-001084-0000-ad0b64767d25432c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ad0b64767d25432c6e32e23c07b12f3e22432bb5ff69d73f698d9fc696e9e1ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001085.json b/manifests/batches/goedel_workbook/001085.json
index bfe13cf0e77add65359ca4e75f93ee2a2200f184..ae006ee7cdd8616bbe3efa1380a28d1fef83e496 100644
--- a/manifests/batches/goedel_workbook/001085.json
+++ b/manifests/batches/goedel_workbook/001085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001085",
   "batch_fingerprint": "a732b593bce1c08918d916ae148954b9dceffa83705724759e54e23eaa0e3bd9",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001085-0000-b5e1d3e0d866705e.parquet",
-      "sha256": "b5e1d3e0d866705ead230bf15ad3f20d3daba24a553053f6e549452d1dc09ff3",
-      "bytes": 115645,
-      "rows": 25,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001085-0000-f1f1e4b89c9c4c21.parquet",
-      "sha256": "f1f1e4b89c9c4c21a193e3810956d63ad7fc260f270e1f98d4d776453b6e53c7",
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-      "rows": 4,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73244",
     "goedel_workbook:lean_workbook_plus_73246",
@@ -280,5 +264,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 115645,
+      "path": "data/train/pb8/goedel_workbook-001085-0000-b5e1d3e0d866705e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b5e1d3e0d866705ead230bf15ad3f20d3daba24a553053f6e549452d1dc09ff3"
+    },
+    {
+      "bytes": 36617,
+      "path": "data/internal_test/pb8/goedel_workbook-001085-0000-f1f1e4b89c9c4c21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f1f1e4b89c9c4c21a193e3810956d63ad7fc260f270e1f98d4d776453b6e53c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001086.json b/manifests/batches/goedel_workbook/001086.json
index 6a126d1fc7d9a370820c0d9afb88cecceeab8bcd..6042d3ba9af675831293d66c7e0d931615eaa19f 100644
--- a/manifests/batches/goedel_workbook/001086.json
+++ b/manifests/batches/goedel_workbook/001086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001086",
   "batch_fingerprint": "7465746566f36682af637d8cf4c5879ddbfd7060707d1c14b14d16f9dd743808",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001086-0000-c6249e9e8ab6b575.parquet",
-      "sha256": "c6249e9e8ab6b575ba796173a1292cf2f02513302a30b01bbe4b25d93585a6d2",
-      "bytes": 144069,
-      "rows": 33,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001086-0000-15724337d0ed416d.parquet",
-      "sha256": "15724337d0ed416df6cd1d0240d999a786f0fe47f2695f30779208273d2882c6",
-      "bytes": 50158,
-      "rows": 4,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73385",
     "goedel_workbook:lean_workbook_plus_73388",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027170.lean\",\"0c5fe16e31970befca8c30a373d9b00d5b083e2eeaf49d17ab500b7a1f2678d1\",0,\"lean_workbook_plus_73446\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027172.lean\",\"009b7b68a2ab6c6f73b96ad0123b1e5c2a4f054e5c7c8e66a4768c95a43b114b\",0,\"lean_workbook_plus_73475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144069,
+      "path": "data/train/pe0/goedel_workbook-001086-0000-c6249e9e8ab6b575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "c6249e9e8ab6b575ba796173a1292cf2f02513302a30b01bbe4b25d93585a6d2"
+    },
+    {
+      "bytes": 50158,
+      "path": "data/internal_test/pe0/goedel_workbook-001086-0000-15724337d0ed416d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "15724337d0ed416df6cd1d0240d999a786f0fe47f2695f30779208273d2882c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001087.json b/manifests/batches/goedel_workbook/001087.json
index 3a0a65dfa87ef8a1e5445dd05153468f33424d77..942d1a6822db6fd95e5ab95e1ce53ad494efc2c6 100644
--- a/manifests/batches/goedel_workbook/001087.json
+++ b/manifests/batches/goedel_workbook/001087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001087",
   "batch_fingerprint": "81fd60b14d0807e633d60a048c3ba450608ea884992376cefed47aab269165cf",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001087-0000-377c2e81a7c5159b.parquet",
-      "sha256": "377c2e81a7c5159b6cfdf233b8d6ba0df6a242a1b3783c4edb0a85e6b10d12da",
-      "bytes": 214262,
-      "rows": 40,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001087-0000-8a24e38a64612de1.parquet",
-      "sha256": "8a24e38a64612de1ec16eae2d58b73cb13061aee67746fa0195e09285805a490",
-      "bytes": 60192,
-      "rows": 10,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001087-0000-17fb7d3742d74901.parquet",
-      "sha256": "17fb7d3742d749012189f817b255410cd29f993a2e8bbaba1c5963ff37ea46be",
-      "bytes": 28876,
-      "rows": 1,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73499",
     "goedel_workbook:lean_workbook_plus_73506",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027195.lean\",\"3eccd7cad04d86fd3b4bacdbdb93b5dc454b35ae429e3952f817a5d0bfae2c84\",0,\"lean_workbook_plus_73577\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027199.lean\",\"0f9341666887c445cd532dfb4cc8c22998048451828fb70754e51e02521f0287\",0,\"lean_workbook_plus_73589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214262,
+      "path": "data/train/pe9/goedel_workbook-001087-0000-377c2e81a7c5159b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "377c2e81a7c5159b6cfdf233b8d6ba0df6a242a1b3783c4edb0a85e6b10d12da"
+    },
+    {
+      "bytes": 60192,
+      "path": "data/dev/pe9/goedel_workbook-001087-0000-8a24e38a64612de1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8a24e38a64612de1ec16eae2d58b73cb13061aee67746fa0195e09285805a490"
+    },
+    {
+      "bytes": 28876,
+      "path": "data/internal_test/pe9/goedel_workbook-001087-0000-17fb7d3742d74901.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "17fb7d3742d749012189f817b255410cd29f993a2e8bbaba1c5963ff37ea46be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001088.json b/manifests/batches/goedel_workbook/001088.json
index 90d63b7c11b3f1b5cb180524c50f601c8ce9d63c..fd3fe9565fe53e61b1912438fc77c52b72892b7f 100644
--- a/manifests/batches/goedel_workbook/001088.json
+++ b/manifests/batches/goedel_workbook/001088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001088",
   "batch_fingerprint": "7c4f8e6c90e1404ce30d59187841b3a1cb813af3045db08b6644616b98ca0eff",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001088-0000-a9997b634d3f4157.parquet",
-      "sha256": "a9997b634d3f4157b7fc1a267bc4c61116711522b6c9bfbace054d0b601f9902",
-      "bytes": 230998,
-      "rows": 55,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001088-0000-41b1d484e151286a.parquet",
-      "sha256": "41b1d484e151286aab1dc32072994cda404c08341948ec93536db406dac84c2e",
-      "bytes": 38724,
-      "rows": 2,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73600",
     "goedel_workbook:lean_workbook_plus_73605",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027220.lean\",\"c7a3707c2ad2784f417fa9f858168b09bdeae9d002d1b06f7c2fff01661bc93d\",0,\"lean_workbook_plus_73717\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027221.lean\",\"7f2f8277d909a87ae5feb6227a802c5d85f8b441c190a8f0d4cb841fee8d8b36\",0,\"lean_workbook_plus_73732\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027222.lean\",\"1d3118df9b54074625239a432b0a668f92898904536acd48e62a7d4a87a6b953\",0,\"lean_workbook_plus_73751\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230998,
+      "path": "data/train/p3d/goedel_workbook-001088-0000-a9997b634d3f4157.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "a9997b634d3f4157b7fc1a267bc4c61116711522b6c9bfbace054d0b601f9902"
+    },
+    {
+      "bytes": 38724,
+      "path": "data/internal_test/p3d/goedel_workbook-001088-0000-41b1d484e151286a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "41b1d484e151286aab1dc32072994cda404c08341948ec93536db406dac84c2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001089.json b/manifests/batches/goedel_workbook/001089.json
index c5f4b8564908c5587aa9447b4b9e9447eab74d90..4fb3dfc30b246a6c23ca4bf2164ebe8aa653632b 100644
--- a/manifests/batches/goedel_workbook/001089.json
+++ b/manifests/batches/goedel_workbook/001089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001089",
   "batch_fingerprint": "f9a2eda53a900cfb262278217e5b13585e7d90a62dc0f3305137e420f9849063",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001089-0000-086e7574735fdff5.parquet",
-      "sha256": "086e7574735fdff5436549cd99f29718c010dccf1e42bd9141b6958768602c32",
-      "bytes": 101794,
-      "rows": 28,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001089-0000-2bf32e4d33445371.parquet",
-      "sha256": "2bf32e4d33445371aba96166275b65d160da164bc28f3a75399df608d8b741c9",
-      "bytes": 35565,
-      "rows": 1,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001089-0000-b71e605552a205ee.parquet",
-      "sha256": "b71e605552a205ee6fc923971eae70e7a23abff98087a89faeb05577e8a222e6",
-      "bytes": 77242,
-      "rows": 11,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73758",
     "goedel_workbook:lean_workbook_plus_73765",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027245.lean\",\"6fa990e0061a18296c47e96ec73720d6d5f7abcf0a6d638ef58a8868cebd1b9e\",0,\"lean_workbook_plus_73843\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 101794,
+      "path": "data/train/p60/goedel_workbook-001089-0000-086e7574735fdff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "086e7574735fdff5436549cd99f29718c010dccf1e42bd9141b6958768602c32"
+    },
+    {
+      "bytes": 35565,
+      "path": "data/dev/p60/goedel_workbook-001089-0000-2bf32e4d33445371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2bf32e4d33445371aba96166275b65d160da164bc28f3a75399df608d8b741c9"
+    },
+    {
+      "bytes": 77242,
+      "path": "data/internal_test/p60/goedel_workbook-001089-0000-b71e605552a205ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b71e605552a205ee6fc923971eae70e7a23abff98087a89faeb05577e8a222e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001090.json b/manifests/batches/goedel_workbook/001090.json
index 9c6a24fe89b1ba11165bb1ea812384d350a205b8..6fb4b9e9ac4bd01cd9fe0e00fc839c6a0c0b4c07 100644
--- a/manifests/batches/goedel_workbook/001090.json
+++ b/manifests/batches/goedel_workbook/001090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001090",
   "batch_fingerprint": "f31fed0f8a2b8b21f3250329c6a9290aaea50bfdbc9535649f6a0ba4fa77ec77",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001090-0000-0a9769a3a2e65065.parquet",
-      "sha256": "0a9769a3a2e650657a7c18465ed52d682d312ffcdd57f2df27ea1d50597b320f",
-      "bytes": 155290,
-      "rows": 38,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001090-0000-cb80e36978985225.parquet",
-      "sha256": "cb80e36978985225175e402e8eefb7654aa10115a8ceefb60cac4ecebd435e07",
-      "bytes": 28275,
-      "rows": 1,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73871",
     "goedel_workbook:lean_workbook_plus_73872",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027269.lean\",\"3d0af27f5a7e41cf17f529bcbed964e4756592c692e922a5145d58327b2703d9\",0,\"lean_workbook_plus_73941\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 155290,
+      "path": "data/train/pa4/goedel_workbook-001090-0000-0a9769a3a2e65065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "0a9769a3a2e650657a7c18465ed52d682d312ffcdd57f2df27ea1d50597b320f"
+    },
+    {
+      "bytes": 28275,
+      "path": "data/dev/pa4/goedel_workbook-001090-0000-cb80e36978985225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cb80e36978985225175e402e8eefb7654aa10115a8ceefb60cac4ecebd435e07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001091.json b/manifests/batches/goedel_workbook/001091.json
index 2743584ee4f3deecc13303a27a5e70a6feeac079..efa0ac890308374db26eb23e992d2a69f6e81007 100644
--- a/manifests/batches/goedel_workbook/001091.json
+++ b/manifests/batches/goedel_workbook/001091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001091",
   "batch_fingerprint": "36cfa87067b829a95558621c8e08d3686982a343dc89795c4acf6dde3a087e03",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001091-0000-c3f00d4ee302cb14.parquet",
-      "sha256": "c3f00d4ee302cb14d5a9c8717ec173fa04fcc17400cb5aa639c2f2ef46b8c3a0",
-      "bytes": 142638,
-      "rows": 37,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001091-0000-97fdecbb07831c64.parquet",
-      "sha256": "97fdecbb07831c6417e4a7786587bf79a0596387e202151492e21e67f5263ad7",
-      "bytes": 42622,
-      "rows": 6,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_73984",
     "goedel_workbook:lean_workbook_plus_73985",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027296.lean\",\"448d2939a94887a4d437f51787d34af7a316e6bb185f3ca59af6f5693917bfeb\",0,\"lean_workbook_plus_74043\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 142638,
+      "path": "data/train/pe9/goedel_workbook-001091-0000-c3f00d4ee302cb14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c3f00d4ee302cb14d5a9c8717ec173fa04fcc17400cb5aa639c2f2ef46b8c3a0"
+    },
+    {
+      "bytes": 42622,
+      "path": "data/internal_test/pe9/goedel_workbook-001091-0000-97fdecbb07831c64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "97fdecbb07831c6417e4a7786587bf79a0596387e202151492e21e67f5263ad7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001092.json b/manifests/batches/goedel_workbook/001092.json
index 8e5af45a3d41cdef4525914dbdfa08d0aed6d6bc..49e91422ebd1dcf48be82beceddb5dd9ed03e833 100644
--- a/manifests/batches/goedel_workbook/001092.json
+++ b/manifests/batches/goedel_workbook/001092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001092",
   "batch_fingerprint": "ddf6111c3beb8835cd9a3afa04775c0e75ade0a0e840714a781a69c2d42f2ff5",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001092-0000-fedf272939af39e5.parquet",
-      "sha256": "fedf272939af39e54e22f053401c8260a766484c03dcade8ea4055028e58d36e",
-      "bytes": 263428,
-      "rows": 63,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001092-0000-15ea0632b4a164ff.parquet",
-      "sha256": "15ea0632b4a164ff62853c508e50a7552096e1937cee325fe2af1cdbd9fbf056",
-      "bytes": 38337,
-      "rows": 3,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74080",
     "goedel_workbook:lean_workbook_plus_74083",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027319.lean\",\"6a0cafcc95cb02849d91f7b37bd1bdfd5e3a86f0ac58ac1c9e276641305d5712\",0,\"lean_workbook_plus_74162\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027324.lean\",\"e017c567082a4e194cc78651abbb74d6b3dd4e4f050e6734dd5bd26ce099a1bc\",0,\"lean_workbook_plus_74190\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263428,
+      "path": "data/train/pbd/goedel_workbook-001092-0000-fedf272939af39e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "fedf272939af39e54e22f053401c8260a766484c03dcade8ea4055028e58d36e"
+    },
+    {
+      "bytes": 38337,
+      "path": "data/internal_test/pbd/goedel_workbook-001092-0000-15ea0632b4a164ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "15ea0632b4a164ff62853c508e50a7552096e1937cee325fe2af1cdbd9fbf056"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001093.json b/manifests/batches/goedel_workbook/001093.json
index a6ab785ea786ae17597915c415258d18f63f3a38..7cb6b02b2a5ef43215bb66856ee19f6ad45f2c6a 100644
--- a/manifests/batches/goedel_workbook/001093.json
+++ b/manifests/batches/goedel_workbook/001093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001093",
   "batch_fingerprint": "c93177d3a8f5d5ad6adab72b31c941e7bc15be04178996d3b31d97bf77044267",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001093-0000-1007973fa85aeb20.parquet",
-      "sha256": "1007973fa85aeb208e1d6c89b5b901bd2a0b55701bfb8ce60aab62242edcf933",
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-      "rows": 26,
-      "revision": "b78dba10e9ba81f44f4f8faf9e32ade7dd7d037e"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001093-0000-c03530363855b83d.parquet",
-      "sha256": "c03530363855b83db6b42026037fd884aafe312c6c5baf294a03181b4477c8c0",
-      "bytes": 33276,
-      "rows": 1,
-      "revision": "b78dba10e9ba81f44f4f8faf9e32ade7dd7d037e"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001093-0000-7150c3e250cbf79f.parquet",
-      "sha256": "7150c3e250cbf79f12e8e990d3e3f48188412ad05ee58a4ed425a8afed1fc52e",
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-      "rows": 6,
-      "revision": "b78dba10e9ba81f44f4f8faf9e32ade7dd7d037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74197",
     "goedel_workbook:lean_workbook_plus_74198",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027343.lean\",\"a71241e00acdd8491f9cba8b6213bdaf10b4fca8a34ea17f748b5bb6b37be2a5\",0,\"lean_workbook_plus_74269\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 109723,
+      "path": "data/train/p91/goedel_workbook-001093-0000-1007973fa85aeb20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1007973fa85aeb208e1d6c89b5b901bd2a0b55701bfb8ce60aab62242edcf933"
+    },
+    {
+      "bytes": 33276,
+      "path": "data/dev/p91/goedel_workbook-001093-0000-c03530363855b83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c03530363855b83db6b42026037fd884aafe312c6c5baf294a03181b4477c8c0"
+    },
+    {
+      "bytes": 57763,
+      "path": "data/internal_test/p91/goedel_workbook-001093-0000-7150c3e250cbf79f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7150c3e250cbf79f12e8e990d3e3f48188412ad05ee58a4ed425a8afed1fc52e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001094.json b/manifests/batches/goedel_workbook/001094.json
index 8c101910a0e8cb8854e9228fd0c198e24284a87c..46947033626538ab2dcea9c2d236beafc995efe7 100644
--- a/manifests/batches/goedel_workbook/001094.json
+++ b/manifests/batches/goedel_workbook/001094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001094",
   "batch_fingerprint": "805e3e6fcdce010d965a2d287048fa83beaebc7b4c05d0d920b9cda48162db8c",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001094-0000-7e735252eb8371e7.parquet",
-      "sha256": "7e735252eb8371e7fb208c0294308781cac37c2635e785417ad2913427ec8c05",
-      "bytes": 132151,
-      "rows": 32,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001094-0000-3ba18c6b9110eec6.parquet",
-      "sha256": "3ba18c6b9110eec62b8297a1d07b73e334498b2566e1dc1fae968a33a0501367",
-      "bytes": 40271,
-      "rows": 4,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001094-0000-bb1cdc94bd5fb4db.parquet",
-      "sha256": "bb1cdc94bd5fb4dba0d17b27597bc92f8175665a1d626099634bba6b37704915",
-      "bytes": 43252,
-      "rows": 4,
-      "revision": "d3f3e41fbf6f2f82a275d416f6b8dffba3078475"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74296",
     "goedel_workbook:lean_workbook_plus_74303",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027366.lean\",\"799842c69020d794c799a0ddcf09e85a2432121a8b2420319f9a67013f02783e\",0,\"lean_workbook_plus_74350\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027367.lean\",\"8d1142d6a1226c287a0e1a84c48131ef10c40868d36d3a067de770f12b2656d3\",0,\"lean_workbook_plus_74351\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027369.lean\",\"c5ee66820088ea62e7091a5fccc03e744d1c5f9b8d75847ebf1fed9765568685\",0,\"lean_workbook_plus_74356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132151,
+      "path": "data/train/pf5/goedel_workbook-001094-0000-7e735252eb8371e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "7e735252eb8371e7fb208c0294308781cac37c2635e785417ad2913427ec8c05"
+    },
+    {
+      "bytes": 40271,
+      "path": "data/dev/pf5/goedel_workbook-001094-0000-3ba18c6b9110eec6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3ba18c6b9110eec62b8297a1d07b73e334498b2566e1dc1fae968a33a0501367"
+    },
+    {
+      "bytes": 43252,
+      "path": "data/internal_test/pf5/goedel_workbook-001094-0000-bb1cdc94bd5fb4db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bb1cdc94bd5fb4dba0d17b27597bc92f8175665a1d626099634bba6b37704915"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001095.json b/manifests/batches/goedel_workbook/001095.json
index 8bf67a0db6a5af004d1a0f146dafe11fc142a12d..89be59308804f06fa0d587924a1540e626679447 100644
--- a/manifests/batches/goedel_workbook/001095.json
+++ b/manifests/batches/goedel_workbook/001095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001095",
   "batch_fingerprint": "8f462559667d925bc581ce823dbf60b3819c902d248dbf7940c092fa572d71b2",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001095-0000-79c57a5aebb38973.parquet",
-      "sha256": "79c57a5aebb38973f7ef55159acf5a23a0755eee5728fa7ff738db3cb92cc8d7",
-      "bytes": 158855,
-      "rows": 33,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001095-0000-eb7323fe855c8947.parquet",
-      "sha256": "eb7323fe855c89470994f8b58de27cdcaf38e5dc0523195b8d3d7d4c3ee1c929",
-      "bytes": 74945,
-      "rows": 11,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001095-0000-21e7ac8af177a870.parquet",
-      "sha256": "21e7ac8af177a8706311855b8aa103d1af700f980e54d287819ef8cc4b400789",
-      "bytes": 38978,
-      "rows": 3,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74401",
     "goedel_workbook:lean_workbook_plus_74429",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027397.lean\",\"59ce5ca5148282a687098b322f969172ff0cb02f898b3be6695b62ca4d4e5ec9\",0,\"lean_workbook_plus_74504\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027398.lean\",\"b49b6959cd431441cd3833a1e58625d1bfd1b1365bd45fe141037bc0b13efffc\",0,\"lean_workbook_plus_74507\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027399.lean\",\"9e0557732ecb1356e79bdf541e9df02e0947730621296c7d57bc41ce2e76afbd\",0,\"lean_workbook_plus_7451\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158855,
+      "path": "data/train/p85/goedel_workbook-001095-0000-79c57a5aebb38973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "79c57a5aebb38973f7ef55159acf5a23a0755eee5728fa7ff738db3cb92cc8d7"
+    },
+    {
+      "bytes": 74945,
+      "path": "data/dev/p85/goedel_workbook-001095-0000-eb7323fe855c8947.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "eb7323fe855c89470994f8b58de27cdcaf38e5dc0523195b8d3d7d4c3ee1c929"
+    },
+    {
+      "bytes": 38978,
+      "path": "data/internal_test/p85/goedel_workbook-001095-0000-21e7ac8af177a870.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "21e7ac8af177a8706311855b8aa103d1af700f980e54d287819ef8cc4b400789"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001096.json b/manifests/batches/goedel_workbook/001096.json
index 63bcf5ad70a38671fcc482878022850efe729fb7..ef1f5fe5d9eb1595756d43249104cffd8fa3f131 100644
--- a/manifests/batches/goedel_workbook/001096.json
+++ b/manifests/batches/goedel_workbook/001096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001096",
   "batch_fingerprint": "ba3e53971478f46e8731127777eb075abf78df3cc1c8e9293722cda310b6a797",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001096-0000-81a65127c27b5e05.parquet",
-      "sha256": "81a65127c27b5e05fae697ea7ef5baa1598ab2415abee07ea3151671dac9f898",
-      "bytes": 199944,
-      "rows": 38,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001096-0000-78001911c07c0811.parquet",
-      "sha256": "78001911c07c0811343ba0e5fa7f69df31854056267d539e339d69a41174cb2f",
-      "bytes": 103913,
-      "rows": 6,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74512",
     "goedel_workbook:lean_workbook_plus_74519",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027422.lean\",\"b22241ed13c5246c389ac866ad5e9f6031d15c05740cbd6319f5833a16e151f6\",0,\"lean_workbook_plus_74633\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027423.lean\",\"3e06ea0a0abddd20964f27c25aa42982aa431e936bc21762fbbfc76fe5203540\",0,\"lean_workbook_plus_7464\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027424.lean\",\"55dd9c6c4580f933f09f4d692a2b6202a4d6e744a6efe0e8e6952ee966fd1690\",0,\"lean_workbook_plus_74641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199944,
+      "path": "data/train/pba/goedel_workbook-001096-0000-81a65127c27b5e05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "81a65127c27b5e05fae697ea7ef5baa1598ab2415abee07ea3151671dac9f898"
+    },
+    {
+      "bytes": 103913,
+      "path": "data/internal_test/pba/goedel_workbook-001096-0000-78001911c07c0811.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "78001911c07c0811343ba0e5fa7f69df31854056267d539e339d69a41174cb2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001097.json b/manifests/batches/goedel_workbook/001097.json
index 1e0ffe0a1c81008b1d76830cc1af084b0cc060f7..e302e8d70584983647e376e3cf3637d56efa3f6a 100644
--- a/manifests/batches/goedel_workbook/001097.json
+++ b/manifests/batches/goedel_workbook/001097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001097",
   "batch_fingerprint": "0592ecb591838d3939b1e5ca9a0c622b99e364d25c167245e13922719223c57b",
   "evidence": {
@@ -154,15 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001097-0000-aa7e1486aadb6b93.parquet",
-      "sha256": "aa7e1486aadb6b93f5a2508628ff6b22853c069d3dbc769f96ffcf5291d356bf",
-      "bytes": 185618,
-      "rows": 39,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74648",
     "goedel_workbook:lean_workbook_plus_74653",
@@ -202,5 +193,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027445.lean\",\"8158b999a4ad81f43af0496db0f709c8d300341c9e15dbb53e48c31b1e6e1cba\",0,\"lean_workbook_plus_74734\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027447.lean\",\"196c745f300101dd680efeb89dd069e14f35af4bfb28c1a91ac9d318fc974c72\",0,\"lean_workbook_plus_74741\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027449.lean\",\"32b611d88af3f0bd8bfd724ab039dac677f4c4070c3b88a65a167167012a5227\",0,\"lean_workbook_plus_74744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185618,
+      "path": "data/train/pf7/goedel_workbook-001097-0000-aa7e1486aadb6b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "aa7e1486aadb6b93f5a2508628ff6b22853c069d3dbc769f96ffcf5291d356bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001098.json b/manifests/batches/goedel_workbook/001098.json
index 8f7adf4f3c3118d490a25ebc4fef0b3b131c7de5..8a34a2fe1a182088667e15c79572f91abab3c5c1 100644
--- a/manifests/batches/goedel_workbook/001098.json
+++ b/manifests/batches/goedel_workbook/001098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001098",
   "batch_fingerprint": "69e47c0ccae77b1a39b54edc94bac46dd954e52dff19f82c81e59d8d2814ad1d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001098-0000-409b4503b4f40638.parquet",
-      "sha256": "409b4503b4f40638c21394ff9ac42cd3a348f655cc70712099a27a64c92abda6",
-      "bytes": 178749,
-      "rows": 41,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001098-0000-b34ac2edf7ef44e6.parquet",
-      "sha256": "b34ac2edf7ef44e6d1e7ae661113ff9af9a244bad8eb169cac13c2ceb2cb62ae",
-      "bytes": 72099,
-      "rows": 11,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74747",
     "goedel_workbook:lean_workbook_plus_74766",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027471.lean\",\"7f86582cc2b666d2824f597b4c15fb8f0d893237dcc1398ec88de5210348c3f2\",0,\"lean_workbook_plus_74854\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027472.lean\",\"5cd776a5bf91d351b4bea6f3eea189a5af8eb6f41666385b0746e6701580ee56\",0,\"lean_workbook_plus_74855\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027474.lean\",\"92a8e21e406da86384df1deef2766d90116fcec805bca4762012f6cf271b849e\",0,\"lean_workbook_plus_74865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178749,
+      "path": "data/train/p13/goedel_workbook-001098-0000-409b4503b4f40638.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "409b4503b4f40638c21394ff9ac42cd3a348f655cc70712099a27a64c92abda6"
+    },
+    {
+      "bytes": 72099,
+      "path": "data/internal_test/p13/goedel_workbook-001098-0000-b34ac2edf7ef44e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b34ac2edf7ef44e6d1e7ae661113ff9af9a244bad8eb169cac13c2ceb2cb62ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001099.json b/manifests/batches/goedel_workbook/001099.json
index 22bebd9e462df243ab9c312da442396d6de269d6..bdeaee858d544e788884542da35489066e9009be 100644
--- a/manifests/batches/goedel_workbook/001099.json
+++ b/manifests/batches/goedel_workbook/001099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001099",
   "batch_fingerprint": "4d4384718909298404e29a016790c7a3e5c82931930e1fefdba0b119a81b1fa8",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001099-0000-16b84eb3263ef6fd.parquet",
-      "sha256": "16b84eb3263ef6fd75a76b38238b46c8601acd33546370aa27502a8c578156fd",
-      "bytes": 246956,
-      "rows": 59,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001099-0000-c2e1ec76c3a56bf5.parquet",
-      "sha256": "c2e1ec76c3a56bf538785d15eb3f8d66488afed9ad56a9c5586813cb0d9543d9",
-      "bytes": 45902,
-      "rows": 6,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74869",
     "goedel_workbook:lean_workbook_plus_74871",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027495.lean\",\"5bbd42115686ad026f1b0caa685554681e733410e12cf63e080620086f831cf4\",0,\"lean_workbook_plus_74946\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027498.lean\",\"3d0159c6268d7f52da97f887dae077b095962c210fd796c2a338dfcf50926c73\",0,\"lean_workbook_plus_74962\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027499.lean\",\"5c77300123f638f51afce073820250914e65dc82c83af82bb08715bd1cd08d87\",0,\"lean_workbook_plus_74965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246956,
+      "path": "data/train/p3a/goedel_workbook-001099-0000-16b84eb3263ef6fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "16b84eb3263ef6fd75a76b38238b46c8601acd33546370aa27502a8c578156fd"
+    },
+    {
+      "bytes": 45902,
+      "path": "data/internal_test/p3a/goedel_workbook-001099-0000-c2e1ec76c3a56bf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c2e1ec76c3a56bf538785d15eb3f8d66488afed9ad56a9c5586813cb0d9543d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001100.json b/manifests/batches/goedel_workbook/001100.json
index a0c2e2e58a31651173387d3d873f15d799c66068..4c0aff6bf062f3454f2e5859d152d48818b39055 100644
--- a/manifests/batches/goedel_workbook/001100.json
+++ b/manifests/batches/goedel_workbook/001100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001100",
   "batch_fingerprint": "0c02a0f54fa66c4469b514660e570b8318e309061c35f54492d35a9bd2d6b7db",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001100-0000-c402d9dbb2c705b5.parquet",
-      "sha256": "c402d9dbb2c705b516a176fea5201bc8edf44efd30d635525f98b37b760899bf",
-      "bytes": 89597,
-      "rows": 29,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001100-0000-74c4866fae265e68.parquet",
-      "sha256": "74c4866fae265e6872813595c81c28041b24eee971d66452824c1af962b29a60",
-      "bytes": 35172,
-      "rows": 3,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_74967",
     "goedel_workbook:lean_workbook_plus_74968",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027519.lean\",\"d8369b20d058c35f04bde4216857c4034b7d9eef2d62fb0519982fe15d1548c0\",0,\"lean_workbook_plus_75030\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027524.lean\",\"f54758c7724ee3d61c6cc22b911e107d338a8ec74208bff27e31b6c9fcb62cde\",0,\"lean_workbook_plus_75043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89597,
+      "path": "data/train/p46/goedel_workbook-001100-0000-c402d9dbb2c705b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c402d9dbb2c705b516a176fea5201bc8edf44efd30d635525f98b37b760899bf"
+    },
+    {
+      "bytes": 35172,
+      "path": "data/internal_test/p46/goedel_workbook-001100-0000-74c4866fae265e68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "74c4866fae265e6872813595c81c28041b24eee971d66452824c1af962b29a60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001101.json b/manifests/batches/goedel_workbook/001101.json
index 89011cf0d5b705a7e18bafc8a22fef45c24bd4b3..24333eef9c210e59767e83f7389143459378d93b 100644
--- a/manifests/batches/goedel_workbook/001101.json
+++ b/manifests/batches/goedel_workbook/001101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001101",
   "batch_fingerprint": "207aed0003a4cc118f95410a4914fa2ecb407b72df54c9675997440b15688ee2",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001101-0000-5365fa83601b0513.parquet",
-      "sha256": "5365fa83601b051386baf9b66f03638f7bdf023d143ada89e173c0cbb04d2cae",
-      "bytes": 167513,
-      "rows": 41,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001101-0000-757c428d077a60ee.parquet",
-      "sha256": "757c428d077a60ee557c8401986925584425d5c9a02abae9f248d6fc4ecc3f57",
-      "bytes": 47893,
-      "rows": 3,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001101-0000-d3573a2a954a4a82.parquet",
-      "sha256": "d3573a2a954a4a8204648d9d1ae0a29cd065d0a3bb74444d6c01e3724dfd3ab1",
-      "bytes": 82277,
-      "rows": 15,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75048",
     "goedel_workbook:lean_workbook_plus_75055",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027543.lean\",\"58df963cc01f637de541a883c59ac38c96fec0bd089245dfb33c31d0e0d8ae52\",0,\"lean_workbook_plus_75112\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 167513,
+      "path": "data/train/p6d/goedel_workbook-001101-0000-5365fa83601b0513.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "5365fa83601b051386baf9b66f03638f7bdf023d143ada89e173c0cbb04d2cae"
+    },
+    {
+      "bytes": 47893,
+      "path": "data/dev/p6d/goedel_workbook-001101-0000-757c428d077a60ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "757c428d077a60ee557c8401986925584425d5c9a02abae9f248d6fc4ecc3f57"
+    },
+    {
+      "bytes": 82277,
+      "path": "data/internal_test/p6d/goedel_workbook-001101-0000-d3573a2a954a4a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d3573a2a954a4a8204648d9d1ae0a29cd065d0a3bb74444d6c01e3724dfd3ab1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001102.json b/manifests/batches/goedel_workbook/001102.json
index f2239dd02089c5ac34856515ac83686ba926ab10..564d712b87d12ff9a9babeebe8f6afaa2cd03be2 100644
--- a/manifests/batches/goedel_workbook/001102.json
+++ b/manifests/batches/goedel_workbook/001102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001102",
   "batch_fingerprint": "2be1aa9fb3047ea167d7697a396ad205622ee0f3398bddd4fc171376531de95c",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001102-0000-37d007cebadb87d3.parquet",
-      "sha256": "37d007cebadb87d34283abf6501407613bc8b579076414863103cf0d046fc32c",
-      "bytes": 117702,
-      "rows": 25,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001102-0000-b472a27dbb0d585e.parquet",
-      "sha256": "b472a27dbb0d585e14de04ac0fcd30aee4696162e7bfb027332a6ea9be85af9a",
-      "bytes": 51406,
-      "rows": 10,
-      "revision": "5321adb10c71b1dbf60944e8c7a4c8df229340a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75143",
     "goedel_workbook:lean_workbook_plus_75144",
@@ -264,5 +248,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 117702,
+      "path": "data/train/p63/goedel_workbook-001102-0000-37d007cebadb87d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "37d007cebadb87d34283abf6501407613bc8b579076414863103cf0d046fc32c"
+    },
+    {
+      "bytes": 51406,
+      "path": "data/dev/p63/goedel_workbook-001102-0000-b472a27dbb0d585e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b472a27dbb0d585e14de04ac0fcd30aee4696162e7bfb027332a6ea9be85af9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001103.json b/manifests/batches/goedel_workbook/001103.json
index 16d2c83a007c9879660d20599991ebd56d6be30a..657bbd73bd99a7a2a975938c3f79f1c1ef2b08da 100644
--- a/manifests/batches/goedel_workbook/001103.json
+++ b/manifests/batches/goedel_workbook/001103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001103",
   "batch_fingerprint": "53b145c15d5fb52959f01be6358865ece999b3af397e6ff4df6bee920652c093",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001103-0000-cc1eb77a6d4a2a71.parquet",
-      "sha256": "cc1eb77a6d4a2a71b6a3c643ef39dc8368c40c55f1ec64bf56ac6ab03e4c1814",
-      "bytes": 107561,
-      "rows": 23,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001103-0000-afae55213fcd8192.parquet",
-      "sha256": "afae55213fcd81925c1643436569f8c7d6320fc0f66c11b811aa0a03865737cd",
-      "bytes": 32306,
-      "rows": 2,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001103-0000-47b8b25c85ace5f1.parquet",
-      "sha256": "47b8b25c85ace5f1ec870a601b0561576c18881645583b59b5a13bdd61286f1d",
-      "bytes": 54218,
-      "rows": 11,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75262",
     "goedel_workbook:lean_workbook_plus_75279",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027597.lean\",\"df4ea1eeeb93780d278ed4110876b3d80210a8b19061a71cc18a1d6eccfb0876\",0,\"lean_workbook_plus_75396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027598.lean\",\"f9d33cf60ab1a778df470b52ae5ff30bdb6404ad912fb1af60cf930d94f5f4d0\",0,\"lean_workbook_plus_75399\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027599.lean\",\"d963c576c1d5c5cd96f9d8d51a72f487fac5817fa36ee9e17f95bcd70b1a8a19\",0,\"lean_workbook_plus_75400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107561,
+      "path": "data/train/p16/goedel_workbook-001103-0000-cc1eb77a6d4a2a71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "cc1eb77a6d4a2a71b6a3c643ef39dc8368c40c55f1ec64bf56ac6ab03e4c1814"
+    },
+    {
+      "bytes": 32306,
+      "path": "data/dev/p16/goedel_workbook-001103-0000-afae55213fcd8192.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "afae55213fcd81925c1643436569f8c7d6320fc0f66c11b811aa0a03865737cd"
+    },
+    {
+      "bytes": 54218,
+      "path": "data/internal_test/p16/goedel_workbook-001103-0000-47b8b25c85ace5f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "47b8b25c85ace5f1ec870a601b0561576c18881645583b59b5a13bdd61286f1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001104.json b/manifests/batches/goedel_workbook/001104.json
index 529bf26260d71bd242ba0e2acf2444f72fe97beb..e091c60df037d02ac86990de49fed4b8ece13b95 100644
--- a/manifests/batches/goedel_workbook/001104.json
+++ b/manifests/batches/goedel_workbook/001104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001104",
   "batch_fingerprint": "d77e18512f617dbf927bed5257db6371d73d607ad79a5f6fed282105c6c420c5",
   "evidence": {
@@ -163,22 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001104-0000-fdcdb1abafd7c939.parquet",
-      "sha256": "fdcdb1abafd7c93939cd5167ad92990eae86a5bd49b0498a79c6964fdc0a6799",
-      "bytes": 141986,
-      "rows": 31,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001104-0000-c106c83a9ef89146.parquet",
-      "sha256": "c106c83a9ef891461bdf2786baa382bc4f482e1b6d0e0dbb896ae5e4545036fa",
-      "bytes": 39793,
-      "rows": 2,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75406",
     "goedel_workbook:lean_workbook_plus_75408",
@@ -216,5 +200,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027619.lean\",\"5f7fb0b94d8401de35301ffe69d66c34f00c0d1950dd119efe07ff45d6192f00\",0,\"lean_workbook_plus_75461\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027623.lean\",\"f81079132afec1d3f670500286655028f37c0d6ddaff0d0cc75a65b55371b7a4\",0,\"lean_workbook_plus_7548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141986,
+      "path": "data/train/p44/goedel_workbook-001104-0000-fdcdb1abafd7c939.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "fdcdb1abafd7c93939cd5167ad92990eae86a5bd49b0498a79c6964fdc0a6799"
+    },
+    {
+      "bytes": 39793,
+      "path": "data/internal_test/p44/goedel_workbook-001104-0000-c106c83a9ef89146.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c106c83a9ef891461bdf2786baa382bc4f482e1b6d0e0dbb896ae5e4545036fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001105.json b/manifests/batches/goedel_workbook/001105.json
index d1fdb5a930f0e2204aa0b7c65811295bda218805..85b659cc8084025b9f1df85024e536ada45dc03c 100644
--- a/manifests/batches/goedel_workbook/001105.json
+++ b/manifests/batches/goedel_workbook/001105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001105",
   "batch_fingerprint": "7466f92c80224b2a269e560e7cbfe6fd429e15db18afbc62231c169390c164cf",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001105-0000-5699abae8aede6e2.parquet",
-      "sha256": "5699abae8aede6e2e7ccddd9207f96162e61f3364f4acca00f5ac098c7f557c6",
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-      "rows": 41,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001105-0000-e6ec47e1d68bdcc3.parquet",
-      "sha256": "e6ec47e1d68bdcc32d7c983c079c90948ff39ac9e8d515ad25d3373b1aff0e42",
-      "bytes": 49304,
-      "rows": 4,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001105-0000-e0a5a077a6de9a4b.parquet",
-      "sha256": "e0a5a077a6de9a4b60e9a9b53d7837bd49d9e61f826d3d30aeb4707552300bfd",
-      "bytes": 32073,
-      "rows": 2,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_7551",
     "goedel_workbook:lean_workbook_plus_75523",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027647.lean\",\"4ef762a8a60cb16d27f0b802e90fb603724fe11766d36e03f64e60f1b9ec0c41\",0,\"lean_workbook_plus_75609\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 154776,
+      "path": "data/train/pd3/goedel_workbook-001105-0000-5699abae8aede6e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "5699abae8aede6e2e7ccddd9207f96162e61f3364f4acca00f5ac098c7f557c6"
+    },
+    {
+      "bytes": 49304,
+      "path": "data/dev/pd3/goedel_workbook-001105-0000-e6ec47e1d68bdcc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e6ec47e1d68bdcc32d7c983c079c90948ff39ac9e8d515ad25d3373b1aff0e42"
+    },
+    {
+      "bytes": 32073,
+      "path": "data/internal_test/pd3/goedel_workbook-001105-0000-e0a5a077a6de9a4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e0a5a077a6de9a4b60e9a9b53d7837bd49d9e61f826d3d30aeb4707552300bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001106.json b/manifests/batches/goedel_workbook/001106.json
index bd2f88c4a3b77b028ed06849e273c6a21db1f424..72f19ff01f1f3553ae49401a9b2a53bc3d7dbfd7 100644
--- a/manifests/batches/goedel_workbook/001106.json
+++ b/manifests/batches/goedel_workbook/001106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001106",
   "batch_fingerprint": "73bacc38d479fb4aab016dc6d00b85b4dcfd97c05f285a6b36d6be69b16e4f2c",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001106-0000-475edd3bfac1926d.parquet",
-      "sha256": "475edd3bfac1926dcd80100d4127e98969fd7684910ee4a18b6ed2494fa6fed1",
-      "bytes": 139886,
-      "rows": 35,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001106-0000-b7da94273061ac3c.parquet",
-      "sha256": "b7da94273061ac3cdddd1a9528ee831b2917c312f4ba7ab6b86513398a55ed5f",
-      "bytes": 45008,
-      "rows": 5,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75617",
     "goedel_workbook:lean_workbook_plus_75641",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027670.lean\",\"a5356eec95ba11271c2149ca52469c59ad8873cb31a0491fa4b52a1abb4b296d\",0,\"lean_workbook_plus_75702\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 139886,
+      "path": "data/train/p1b/goedel_workbook-001106-0000-475edd3bfac1926d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "475edd3bfac1926dcd80100d4127e98969fd7684910ee4a18b6ed2494fa6fed1"
+    },
+    {
+      "bytes": 45008,
+      "path": "data/dev/p1b/goedel_workbook-001106-0000-b7da94273061ac3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b7da94273061ac3cdddd1a9528ee831b2917c312f4ba7ab6b86513398a55ed5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001107.json b/manifests/batches/goedel_workbook/001107.json
index 7d647d71720ef7be500876053e29057e755cffd3..51997475a5413ba5789534983569b0d0cc6539bc 100644
--- a/manifests/batches/goedel_workbook/001107.json
+++ b/manifests/batches/goedel_workbook/001107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001107",
   "batch_fingerprint": "2af419c883f2e7228a4f2cbb2241ef54ff5651a5f63d3ce7beadf4bed770a4c6",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001107-0000-52d637a01de039da.parquet",
-      "sha256": "52d637a01de039dad007feff9fd93d9e113256c6040c6cba2f620515e396bacd",
-      "bytes": 149277,
-      "rows": 34,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001107-0000-7f48fded42f079e2.parquet",
-      "sha256": "7f48fded42f079e2a148d7d3c0910c3b162e32bf184ff1739e2b7924fd0508e0",
-      "bytes": 36973,
-      "rows": 5,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001107-0000-35139b62ff1e4a80.parquet",
-      "sha256": "35139b62ff1e4a805b339b899cfe9e792eeebe20707cbdf170f02ff36286dd21",
-      "bytes": 50681,
-      "rows": 5,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75722",
     "goedel_workbook:lean_workbook_plus_75759",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027695.lean\",\"3867408530115bd83fc14863015ba22518d2041b19b18870d852efa69968ae4c\",0,\"lean_workbook_plus_75835\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 149277,
+      "path": "data/train/p81/goedel_workbook-001107-0000-52d637a01de039da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "52d637a01de039dad007feff9fd93d9e113256c6040c6cba2f620515e396bacd"
+    },
+    {
+      "bytes": 36973,
+      "path": "data/dev/p81/goedel_workbook-001107-0000-7f48fded42f079e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7f48fded42f079e2a148d7d3c0910c3b162e32bf184ff1739e2b7924fd0508e0"
+    },
+    {
+      "bytes": 50681,
+      "path": "data/internal_test/p81/goedel_workbook-001107-0000-35139b62ff1e4a80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "35139b62ff1e4a805b339b899cfe9e792eeebe20707cbdf170f02ff36286dd21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001108.json b/manifests/batches/goedel_workbook/001108.json
index e94c394ef46c56a3feb39c37db41753d901c51f3..1bd9745be36f5ff4935902b4a091f0abc231a022 100644
--- a/manifests/batches/goedel_workbook/001108.json
+++ b/manifests/batches/goedel_workbook/001108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001108",
   "batch_fingerprint": "0672d77056cc975db3d0710cdd7adb65d914146c3e6d886e22d5db8d5f01a33f",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001108-0000-afb1726a4f4dc824.parquet",
-      "sha256": "afb1726a4f4dc824f138835293fb65d6e99db6e17a72726725c3a67683c21b34",
-      "bytes": 186408,
-      "rows": 48,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001108-0000-d94bee7c48ab58ba.parquet",
-      "sha256": "d94bee7c48ab58ba3a0b98f3fdf9db243d564a8b72f4471e8a596bbc1d2b0b33",
-      "bytes": 29415,
-      "rows": 2,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_75871",
     "goedel_workbook:lean_workbook_plus_75895",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027721.lean\",\"f2cd80b524a281b183dbe2e70bb1683c6ccd920c9be4cec8fbc9866db882eb2b\",0,\"lean_workbook_plus_75991\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027724.lean\",\"3680f29f0b20bf4088f835ee6ca73a50a8988c8fe1c1e60055909a2da1c6e419\",0,\"lean_workbook_plus_7600\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186408,
+      "path": "data/train/p91/goedel_workbook-001108-0000-afb1726a4f4dc824.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "afb1726a4f4dc824f138835293fb65d6e99db6e17a72726725c3a67683c21b34"
+    },
+    {
+      "bytes": 29415,
+      "path": "data/internal_test/p91/goedel_workbook-001108-0000-d94bee7c48ab58ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d94bee7c48ab58ba3a0b98f3fdf9db243d564a8b72f4471e8a596bbc1d2b0b33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001109.json b/manifests/batches/goedel_workbook/001109.json
index a8f9d1e144627eb4e9aeab37a68bbf5b022108a1..6e5bf5a7c87f2e85405bfb5164b5cab4acc4bee2 100644
--- a/manifests/batches/goedel_workbook/001109.json
+++ b/manifests/batches/goedel_workbook/001109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001109",
   "batch_fingerprint": "7a627dac088a73c81978b9d4c797a9ef5c3a8d9d3bc200e448edaea2fd9e47b8",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001109-0000-1e93b8e92b2e697b.parquet",
-      "sha256": "1e93b8e92b2e697bf389b0f7972b8aa6e895abbd3d430280ee417a5f7de50830",
-      "bytes": 141165,
-      "rows": 41,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001109-0000-ec91d90b3e58a962.parquet",
-      "sha256": "ec91d90b3e58a962938f91dbb35689dac061d4ab36cb31da79b4adb58979cbd1",
-      "bytes": 41125,
-      "rows": 6,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76017",
     "goedel_workbook:lean_workbook_plus_7602",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027745.lean\",\"55e6cdd3e85148a95471afdca305bbda6d5268113eb4b1323abe7f589b9868d5\",0,\"lean_workbook_plus_76064\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027748.lean\",\"0c8829cd731d821fb6c77882e369322f40cd6ff51fe4950e9379cd0fb644bc7f\",0,\"lean_workbook_plus_7608\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 141165,
+      "path": "data/train/pff/goedel_workbook-001109-0000-1e93b8e92b2e697b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "1e93b8e92b2e697bf389b0f7972b8aa6e895abbd3d430280ee417a5f7de50830"
+    },
+    {
+      "bytes": 41125,
+      "path": "data/internal_test/pff/goedel_workbook-001109-0000-ec91d90b3e58a962.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ec91d90b3e58a962938f91dbb35689dac061d4ab36cb31da79b4adb58979cbd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001110.json b/manifests/batches/goedel_workbook/001110.json
index 2678a3bd1bb152fb87244a79cc4fd295d0307c16..c817d406f69356e51d9fdc8e7fd6ebc526bd60ae 100644
--- a/manifests/batches/goedel_workbook/001110.json
+++ b/manifests/batches/goedel_workbook/001110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001110",
   "batch_fingerprint": "4c522c9a143f8a4290d850243d24d7543657619c505c23da4854f2c02b284d22",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001110-0000-f59ac3e71d7d0270.parquet",
-      "sha256": "f59ac3e71d7d0270496139841f9d44c106d6c31dd181176ee3951f07a7dbaa0a",
-      "bytes": 130407,
-      "rows": 32,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001110-0000-ddbaca96d2094366.parquet",
-      "sha256": "ddbaca96d20943662d3e620d1830baea14cd1b65e7c7e04ab6ae1e48b5c49ee8",
-      "bytes": 34785,
-      "rows": 1,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76082",
     "goedel_workbook:lean_workbook_plus_7609",
@@ -248,5 +232,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 130407,
+      "path": "data/train/pbf/goedel_workbook-001110-0000-f59ac3e71d7d0270.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f59ac3e71d7d0270496139841f9d44c106d6c31dd181176ee3951f07a7dbaa0a"
+    },
+    {
+      "bytes": 34785,
+      "path": "data/internal_test/pbf/goedel_workbook-001110-0000-ddbaca96d2094366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ddbaca96d20943662d3e620d1830baea14cd1b65e7c7e04ab6ae1e48b5c49ee8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001111.json b/manifests/batches/goedel_workbook/001111.json
index 1710d74efcc1927215eac4047c83835a83d0a615..c03f9c6750324c97340061820331a26ffa6ae4ac 100644
--- a/manifests/batches/goedel_workbook/001111.json
+++ b/manifests/batches/goedel_workbook/001111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001111",
   "batch_fingerprint": "d7a294ac14bc6e504497e4a3e3e5d9258ab21c54330c711dea79b418dff7f8f0",
   "evidence": {
@@ -208,22 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001111-0000-4ca9513c9408be75.parquet",
-      "sha256": "4ca9513c9408be75ab0c55e831213b6f055f8fe41c1a0b2fbaea6f879369c4a0",
-      "bytes": 134701,
-      "rows": 33,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001111-0000-25bbba53da1bb483.parquet",
-      "sha256": "25bbba53da1bb483e4db63ef21474ee8ae962dd218bf0b21d936b30a7ace359f",
-      "bytes": 49446,
-      "rows": 7,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76165",
     "goedel_workbook:lean_workbook_plus_76179",
@@ -257,5 +241,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027796.lean\",\"bf4c9b652fed2a1399465b5f1ab9c8aac2ef183d9bf51c8d6fafcf8b5d7a7f3f\",0,\"lean_workbook_plus_76272\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027798.lean\",\"a6c63797440dfe0dfd3a54704574066d9d1c3ff0882eafebb465131a1cceda7c\",0,\"lean_workbook_plus_76278\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027799.lean\",\"bae8b744995915a857fd593079c13ed4dede11d93552ddd09ab948784cdf9a26\",0,\"lean_workbook_plus_76279\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134701,
+      "path": "data/train/pbc/goedel_workbook-001111-0000-4ca9513c9408be75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4ca9513c9408be75ab0c55e831213b6f055f8fe41c1a0b2fbaea6f879369c4a0"
+    },
+    {
+      "bytes": 49446,
+      "path": "data/internal_test/pbc/goedel_workbook-001111-0000-25bbba53da1bb483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "25bbba53da1bb483e4db63ef21474ee8ae962dd218bf0b21d936b30a7ace359f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001112.json b/manifests/batches/goedel_workbook/001112.json
index 9a72fbae3214443270a7a06f19a023e03b94cacf..43a208dc2b0f0615b7d23ec5983d9f28828b1ae8 100644
--- a/manifests/batches/goedel_workbook/001112.json
+++ b/manifests/batches/goedel_workbook/001112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001112",
   "batch_fingerprint": "752631d1b68659c05784c0f7bf8b095144c3596729b2638b1cd21f0e1798e8b9",
   "evidence": {
@@ -271,15 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001112-0000-7b1e306d5893f572.parquet",
-      "sha256": "7b1e306d5893f5729d1a17c5b3b184407775b852bc3b9e5b9b6c43eece379b69",
-      "bytes": 82397,
-      "rows": 24,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_7628",
     "goedel_workbook:lean_workbook_plus_76298",
@@ -305,5 +296,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027821.lean\",\"b1ab62a346b50a3a33f908b394891fa53c3d44139c812194d26ad5f8ccf7bb1d\",0,\"lean_workbook_plus_76391\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027822.lean\",\"51a64ea0ed5020b45e282fae72ed4a3d92f5dd8489f88e2a491365e3e5668e21\",0,\"lean_workbook_plus_76396\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027823.lean\",\"d61cf96c7c0e5cebbc7b8cce34b6f2511d7fe1ddfefa0d192b0305b9e1d5f9a7\",0,\"lean_workbook_plus_76399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82397,
+      "path": "data/train/pb0/goedel_workbook-001112-0000-7b1e306d5893f572.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7b1e306d5893f5729d1a17c5b3b184407775b852bc3b9e5b9b6c43eece379b69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001113.json b/manifests/batches/goedel_workbook/001113.json
index 19a588f0b30c466fd3fdd03a9c24e6af874346d1..76aef891243760cef35800b82da3c1d6475c74b8 100644
--- a/manifests/batches/goedel_workbook/001113.json
+++ b/manifests/batches/goedel_workbook/001113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001113",
   "batch_fingerprint": "6d692caa6fbb6fdea7fe06915ea7adcc1a5e0e875c2c726c7a29109851dacdc7",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001113-0000-062e5f82ef945655.parquet",
-      "sha256": "062e5f82ef945655112263326df4cfc9a1f48bf135ee7c65619522090b9f25f5",
-      "bytes": 191223,
-      "rows": 38,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001113-0000-92c829e8132b6457.parquet",
-      "sha256": "92c829e8132b64570dd47d36a1c01a9cef364ce0d89b4ecea53f208d239a79f5",
-      "bytes": 42451,
-      "rows": 4,
-      "revision": "737de44aa8d9f064aa92c90d5901e2486feec108"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76401",
     "goedel_workbook:lean_workbook_plus_76403",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027846.lean\",\"7b44184fa73bd23494936a948fed2d3d36249ee40a789711b0ca1e38e78d4429\",0,\"lean_workbook_plus_76475\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027847.lean\",\"082d1bd550713b4e43bc3f45ea336251def0d718defbe5fbe499db859e659f92\",0,\"lean_workbook_plus_76480\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027849.lean\",\"98ad2979ab28f900d4a0e126f58c6c13849d829925a8113a4ec72314aafe3351\",0,\"lean_workbook_plus_76491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191223,
+      "path": "data/train/p1f/goedel_workbook-001113-0000-062e5f82ef945655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "062e5f82ef945655112263326df4cfc9a1f48bf135ee7c65619522090b9f25f5"
+    },
+    {
+      "bytes": 42451,
+      "path": "data/internal_test/p1f/goedel_workbook-001113-0000-92c829e8132b6457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "92c829e8132b64570dd47d36a1c01a9cef364ce0d89b4ecea53f208d239a79f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001114.json b/manifests/batches/goedel_workbook/001114.json
index cd7d347131565beb66f54f7df6eb5c4fa9a762cf..1428420f26a1dbf70c9753df59bf0667acaf2a2a 100644
--- a/manifests/batches/goedel_workbook/001114.json
+++ b/manifests/batches/goedel_workbook/001114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001114",
   "batch_fingerprint": "2261aacc3ceab42848d923ddccb8a00afa80ac877fc224b5e6493fa1255dec90",
   "evidence": {
@@ -270,15 +269,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001114-0000-008e7af5d2cd7657.parquet",
-      "sha256": "008e7af5d2cd7657dc94cc2fd3aa65c07a04a29a710b9e04d0778a2df733b051",
-      "bytes": 128091,
-      "rows": 30,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76498",
     "goedel_workbook:lean_workbook_plus_76503",
@@ -306,5 +297,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027868.lean\",\"00f39b1b54b71fdb4ca6f3a03c48f554c4655d1f6917705bcbc86e1a915e8216\",0,\"lean_workbook_plus_76565\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027869.lean\",\"fbcbb567cef81a8d41ba09f418eb276e7f9b15a17122ee008236aee8391929e6\",0,\"lean_workbook_plus_76567\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027873.lean\",\"074c007cb00dabb519e9e8ef0327327a06ddad57bde5fa16e483c6c7b4757c77\",0,\"lean_workbook_plus_76586\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128091,
+      "path": "data/train/p53/goedel_workbook-001114-0000-008e7af5d2cd7657.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "008e7af5d2cd7657dc94cc2fd3aa65c07a04a29a710b9e04d0778a2df733b051"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001115.json b/manifests/batches/goedel_workbook/001115.json
index 900dcb20aaa92b2950a70742e08ad7d591887ccf..81423cd2d46f2ada016692dd6b90f7b95f69021d 100644
--- a/manifests/batches/goedel_workbook/001115.json
+++ b/manifests/batches/goedel_workbook/001115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001115",
   "batch_fingerprint": "6a8582dd918b26b6180b98715fe253f015b4f993b5a904f2f1c62ae61c1ccb04",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001115-0000-656125bba5d75b22.parquet",
-      "sha256": "656125bba5d75b225defd5b9a5495135e3c5b9e837b18043cb7633a0e2a84069",
-      "bytes": 149879,
-      "rows": 27,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001115-0000-d1d57b3359750b9d.parquet",
-      "sha256": "d1d57b3359750b9db0f16b7b34d7def1003aacbdf46601eb3906bb00c196f740",
-      "bytes": 32995,
-      "rows": 2,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001115-0000-e5848cc5dc9750cc.parquet",
-      "sha256": "e5848cc5dc9750ccac54a0bf933a12c32160a8c278aed733638fd8114d8640d8",
-      "bytes": 52067,
-      "rows": 7,
-      "revision": "1d6c2e0a555fa17efda8064b8d146dd14cd4f072"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76592",
     "goedel_workbook:lean_workbook_plus_76601",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027897.lean\",\"0bc477ea72c142e1bdf34ddd288f7c7ce2b9cb4f3d2d86f20bcaec66b4402c5e\",0,\"lean_workbook_plus_76706\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027898.lean\",\"11530259d54a52e052fdd3ca4693e1f4473a8f7c12ed6154bc73df88de344628\",0,\"lean_workbook_plus_76707\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027899.lean\",\"83f073116f2084f15e7c56ae0a05b62476d1dddd126e04954f01f83026e423e2\",0,\"lean_workbook_plus_76708\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149879,
+      "path": "data/train/pf8/goedel_workbook-001115-0000-656125bba5d75b22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "656125bba5d75b225defd5b9a5495135e3c5b9e837b18043cb7633a0e2a84069"
+    },
+    {
+      "bytes": 32995,
+      "path": "data/dev/pf8/goedel_workbook-001115-0000-d1d57b3359750b9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d1d57b3359750b9db0f16b7b34d7def1003aacbdf46601eb3906bb00c196f740"
+    },
+    {
+      "bytes": 52067,
+      "path": "data/internal_test/pf8/goedel_workbook-001115-0000-e5848cc5dc9750cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e5848cc5dc9750ccac54a0bf933a12c32160a8c278aed733638fd8114d8640d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001116.json b/manifests/batches/goedel_workbook/001116.json
index 4f972309745d6aa2e73c362b02722a34b81030e8..ed2e2c7fcb32044d6557d67e7b4414bf7aa0ec74 100644
--- a/manifests/batches/goedel_workbook/001116.json
+++ b/manifests/batches/goedel_workbook/001116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001116",
   "batch_fingerprint": "0990580e8867f64330b0722cd87b58be06173e62534a79ac1e142b46de490703",
   "evidence": {
@@ -154,22 +153,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001116-0000-a59185a92578d8a8.parquet",
-      "sha256": "a59185a92578d8a88cb11fd5ae3c8b5c994c05c5393f41334fdf7f817edab977",
-      "bytes": 142683,
-      "rows": 33,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001116-0000-6c10a4984720ca64.parquet",
-      "sha256": "6c10a4984720ca6477e7d62ffdab7cec4b7c324155b94d2f02c35b8e4709cc56",
-      "bytes": 85549,
-      "rows": 9,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_76716",
     "goedel_workbook:lean_workbook_plus_76718",
@@ -209,5 +193,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027920.lean\",\"09f7ad672f0f93de601545cd86f498487e94851495ca4072fb5657e79592f47b\",0,\"lean_workbook_plus_76820\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027921.lean\",\"862399abf2bd490ad11598214e62debcba8249eda389ad649d727552087ff727\",0,\"lean_workbook_plus_76821\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027922.lean\",\"44b9ed1a846abcf26eee792350b948889be63d42fd4670ba5ee41081085e71d2\",0,\"lean_workbook_plus_76831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142683,
+      "path": "data/train/p80/goedel_workbook-001116-0000-a59185a92578d8a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a59185a92578d8a88cb11fd5ae3c8b5c994c05c5393f41334fdf7f817edab977"
+    },
+    {
+      "bytes": 85549,
+      "path": "data/internal_test/p80/goedel_workbook-001116-0000-6c10a4984720ca64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6c10a4984720ca6477e7d62ffdab7cec4b7c324155b94d2f02c35b8e4709cc56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001117.json b/manifests/batches/goedel_workbook/001117.json
index ff4082e1b4eaba29d9bcde9aa95b706684cc529f..92fc9e7ba19e3e7a0fd8e07861cb7ee5ec007fe7 100644
--- a/manifests/batches/goedel_workbook/001117.json
+++ b/manifests/batches/goedel_workbook/001117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001117",
   "batch_fingerprint": "e4e2eea3dda3bede0dbb4c87faae76d22b29905a2d9422ecc390c4296bd3b8e9",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001117-0000-3e1eb134ab371dc1.parquet",
-      "sha256": "3e1eb134ab371dc1df3ffa89dbd13dbb718053b66cee3323aa8597d59823840d",
-      "bytes": 70284,
-      "rows": 16,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001117-0000-46ea6ec9afb055a9.parquet",
-      "sha256": "46ea6ec9afb055a94615a4ab6fe555358ad956d7fec5eedb2208d01467832a70",
-      "bytes": 37678,
-      "rows": 4,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_7684",
     "goedel_workbook:lean_workbook_plus_76840",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027943.lean\",\"b02466c9805bb7f985cd5ab360dc576c1b9643b3ce118517ffda5fe1c3bce647\",0,\"lean_workbook_plus_7691\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027946.lean\",\"bca05f9259449b30904321cabb5f6ab0aea181d11b6fe2ccb7a1f7fd683c1b8a\",0,\"lean_workbook_plus_76921\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027948.lean\",\"c0afc87958bfc5cab541753f92ee2de834f7a233c76dcfe5a1b3db832992410e\",0,\"lean_workbook_plus_76941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70284,
+      "path": "data/train/p2d/goedel_workbook-001117-0000-3e1eb134ab371dc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3e1eb134ab371dc1df3ffa89dbd13dbb718053b66cee3323aa8597d59823840d"
+    },
+    {
+      "bytes": 37678,
+      "path": "data/internal_test/p2d/goedel_workbook-001117-0000-46ea6ec9afb055a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "46ea6ec9afb055a94615a4ab6fe555358ad956d7fec5eedb2208d01467832a70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001118.json b/manifests/batches/goedel_workbook/001118.json
index ab00001cdeb44a275961f1c9d55ae82553af60da..0cdcac90625961148ab51ca29205161e6fb0527c 100644
--- a/manifests/batches/goedel_workbook/001118.json
+++ b/manifests/batches/goedel_workbook/001118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001118",
   "batch_fingerprint": "5439664b99e01c5278caf18d25f85a05965f36ffc27421018962c60c00d557bc",
   "evidence": {
@@ -190,36 +189,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001118-0000-1afe209eca15e651.parquet",
-      "sha256": "1afe209eca15e651d44fa47987f9d0b9047c5037e695f27e65589b42dedd2552",
-      "bytes": 152129,
-      "rows": 36,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001118-0000-4f819ae79c02d00c.parquet",
-      "sha256": "4f819ae79c02d00cee169781dd98898da91342a9c5b303cc01895f3989c9a2ab",
-      "bytes": 33838,
-      "rows": 2,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001118-0000-6e71ed1770f91eff.parquet",
-      "sha256": "6e71ed1770f91effe95cea83c32fe55fe486d06acd78f53790472425732a531b",
-      "bytes": 54944,
-      "rows": 4,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-001118-0000-ab630ca255569e58.parquet",
-      "sha256": "ab630ca255569e58db9dd39fe74be3fcb45b32f68de3b75ba03a82224044c880",
-      "bytes": 32170,
-      "rows": 2,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_7695",
     "goedel_workbook:lean_workbook_plus_76950",
@@ -255,5 +225,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027965.lean\",\"0f82126525922f57fcbc72ad18ec5298667b12f6b952f7e8931a281a3b0d970f\",0,\"lean_workbook_plus_77005\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027971.lean\",\"8fcaf2d408867bc7a6bcdacb09b20c8a8c1c8cd16f9785db5481cf79af0a071d\",0,\"lean_workbook_plus_77043\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027972.lean\",\"75e32ebf66d04c68960f79e1f09663860f6a4cd2f1aa28da76116d1ca1b23e2d\",0,\"lean_workbook_plus_77047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152129,
+      "path": "data/train/p7e/goedel_workbook-001118-0000-1afe209eca15e651.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "1afe209eca15e651d44fa47987f9d0b9047c5037e695f27e65589b42dedd2552"
+    },
+    {
+      "bytes": 33838,
+      "path": "data/dev/p7e/goedel_workbook-001118-0000-4f819ae79c02d00c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f819ae79c02d00cee169781dd98898da91342a9c5b303cc01895f3989c9a2ab"
+    },
+    {
+      "bytes": 54944,
+      "path": "data/internal_test/p7e/goedel_workbook-001118-0000-6e71ed1770f91eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6e71ed1770f91effe95cea83c32fe55fe486d06acd78f53790472425732a531b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001119.json b/manifests/batches/goedel_workbook/001119.json
index 703c87e34d1d7aa055faa2f8e41b5dd712f77dbf..49de7507f4c67d81356689c98d7f92ed7a642279 100644
--- a/manifests/batches/goedel_workbook/001119.json
+++ b/manifests/batches/goedel_workbook/001119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001119",
   "batch_fingerprint": "b5c5204962dfe1ee4e2c2198f5a615aa40d0762b07ca764fb2fd598b157e9837",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001119-0000-25ff7a5f3e5cdb36.parquet",
-      "sha256": "25ff7a5f3e5cdb3690092d0c6d96933e1cfd602c88f8352f50820f5871554bb6",
-      "bytes": 146130,
-      "rows": 39,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001119-0000-8aa18830f8c20887.parquet",
-      "sha256": "8aa18830f8c2088798ea52fbe984964d44d7bb6aa824350553c404f019aee8c2",
-      "bytes": 45458,
-      "rows": 7,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001119-0000-834908ecec8bc804.parquet",
-      "sha256": "834908ecec8bc804f99e298eb0b47a7ea0f5acecae186634586dacb2d85b0a57",
-      "bytes": 48420,
-      "rows": 6,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77070",
     "goedel_workbook:lean_workbook_plus_77072",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027993.lean\",\"15b3bf88133aa0503c3723485ee4849fe8142aba09c5867d0de6705cbb894012\",0,\"lean_workbook_plus_77146\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027996.lean\",\"6ecf3f421ef9cff7091c6902b82eb9d9242ed3dcf10b4f7f916617283fb6b5fe\",0,\"lean_workbook_plus_77156\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_027997.lean\",\"ab24933ca4ae5349597408fc60ab99c8325550e124a2b1d3ac2c330531b31366\",0,\"lean_workbook_plus_77168\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146130,
+      "path": "data/train/p99/goedel_workbook-001119-0000-25ff7a5f3e5cdb36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "25ff7a5f3e5cdb3690092d0c6d96933e1cfd602c88f8352f50820f5871554bb6"
+    },
+    {
+      "bytes": 45458,
+      "path": "data/dev/p99/goedel_workbook-001119-0000-8aa18830f8c20887.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8aa18830f8c2088798ea52fbe984964d44d7bb6aa824350553c404f019aee8c2"
+    },
+    {
+      "bytes": 48420,
+      "path": "data/internal_test/p99/goedel_workbook-001119-0000-834908ecec8bc804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "834908ecec8bc804f99e298eb0b47a7ea0f5acecae186634586dacb2d85b0a57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001120.json b/manifests/batches/goedel_workbook/001120.json
index 3121a3aaf4ab154d72d6d0fa9cd4c442a651e6e8..6912dff7461ef6ebedb15627688c9db7ede6706c 100644
--- a/manifests/batches/goedel_workbook/001120.json
+++ b/manifests/batches/goedel_workbook/001120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001120",
   "batch_fingerprint": "ba2e61d24abdd22212cedbde26ea38c252bfdaa034fdeb42203ce49481c9208c",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001120-0000-2684e6053825da3d.parquet",
-      "sha256": "2684e6053825da3de7ca38967db2e81aba5cb4928d130328480858aebd273c96",
-      "bytes": 117172,
-      "rows": 26,
-      "revision": "453b1e104fc5543b3a3c59aa400d268f5f6610d6"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001120-0000-56f15f68abbf5983.parquet",
-      "sha256": "56f15f68abbf5983fe12613f5c0595f04b8d88ff05a7639aec91d69905b7b3b5",
-      "bytes": 61922,
-      "rows": 2,
-      "revision": "453b1e104fc5543b3a3c59aa400d268f5f6610d6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77183",
     "goedel_workbook:lean_workbook_plus_77194",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028021.lean\",\"585ff956d7fcdb09233dc8990104c4dbe1759b2b5ebeda96b4d8aebc86ddf0b6\",0,\"lean_workbook_plus_77243\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028023.lean\",\"b719e78cbade75e5f099de6e61ef82cae137ce621c9bc4ece49dccfd3ba5e8d9\",0,\"lean_workbook_plus_77258\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028024.lean\",\"732fe48e77b7da6216692509d8ed3c304765c07d173be3e36b2d4ca2327ba77a\",0,\"lean_workbook_plus_7727\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117172,
+      "path": "data/train/p8a/goedel_workbook-001120-0000-2684e6053825da3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2684e6053825da3de7ca38967db2e81aba5cb4928d130328480858aebd273c96"
+    },
+    {
+      "bytes": 61922,
+      "path": "data/dev/p8a/goedel_workbook-001120-0000-56f15f68abbf5983.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "56f15f68abbf5983fe12613f5c0595f04b8d88ff05a7639aec91d69905b7b3b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001121.json b/manifests/batches/goedel_workbook/001121.json
index 37b55f2582bd545b33f4c1afa796bda334d6cf2d..d6ca0e064cc8aa98ddbb912717fbc996bfa6778a 100644
--- a/manifests/batches/goedel_workbook/001121.json
+++ b/manifests/batches/goedel_workbook/001121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001121",
   "batch_fingerprint": "b59cb172f9bb2c25510865f3f86df74a84a8f892fb53ba4a6848267c5ba2796a",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001121-0000-142da4688a184522.parquet",
-      "sha256": "142da4688a184522e94f10e7f424bcee24481e54350dc27de5fdc7482b31a999",
-      "bytes": 201299,
-      "rows": 42,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001121-0000-194eb064e9642e9f.parquet",
-      "sha256": "194eb064e9642e9f781ce761f74a8d9e4d16e2a24de9eb76ee343de1cd38ae72",
-      "bytes": 25666,
-      "rows": 1,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001121-0000-1d2669c7ac0a97f6.parquet",
-      "sha256": "1d2669c7ac0a97f699691a16da2eb8231114537467aa0d64e00b876cad53ce3c",
-      "bytes": 33992,
-      "rows": 3,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77282",
     "goedel_workbook:lean_workbook_plus_77294",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028044.lean\",\"a89bfdffca6b8aace94244bb858e8c3e42e2d13148eeb0b12d2952cc28d3c549\",0,\"lean_workbook_plus_77352\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028045.lean\",\"49763ea4384553e3819faa748e095bd8baa1f961a271cca92234eee5e3d8295a\",0,\"lean_workbook_plus_77356\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028046.lean\",\"92d84da410d36b8f400ac0a0300b9073a76ed79c5e8073a3c87b01184ad1412b\",0,\"lean_workbook_plus_77357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201299,
+      "path": "data/train/pdd/goedel_workbook-001121-0000-142da4688a184522.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "142da4688a184522e94f10e7f424bcee24481e54350dc27de5fdc7482b31a999"
+    },
+    {
+      "bytes": 25666,
+      "path": "data/dev/pdd/goedel_workbook-001121-0000-194eb064e9642e9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "194eb064e9642e9f781ce761f74a8d9e4d16e2a24de9eb76ee343de1cd38ae72"
+    },
+    {
+      "bytes": 33992,
+      "path": "data/internal_test/pdd/goedel_workbook-001121-0000-1d2669c7ac0a97f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1d2669c7ac0a97f699691a16da2eb8231114537467aa0d64e00b876cad53ce3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001122.json b/manifests/batches/goedel_workbook/001122.json
index 1a06fd10046daf99f7a34939de71918a86c107b3..7083e25437db617141b5dde72eaff6b78ce0a515 100644
--- a/manifests/batches/goedel_workbook/001122.json
+++ b/manifests/batches/goedel_workbook/001122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001122",
   "batch_fingerprint": "c00dab3a0d2a01178034d7cafdd35b8c5a1b19d38e7224e8dfba6ed3c6b9f1d5",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001122-0000-472c7b5f650a5436.parquet",
-      "sha256": "472c7b5f650a5436d6bfe559b724fc7af43f2854cb27bcaaa0a592ed964855e8",
-      "bytes": 197263,
-      "rows": 51,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001122-0000-d96e2f70e2e9a1f5.parquet",
-      "sha256": "d96e2f70e2e9a1f57cf4ccca28f06b7684467f498ff2c7a9c8791c355f707f80",
-      "bytes": 49512,
-      "rows": 4,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77372",
     "goedel_workbook:lean_workbook_plus_77378",
@@ -248,5 +232,21 @@
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028073.lean\",\"74c20959f981862f3129756c3129d68631cd737deec61bfd984ea5ce866b9bc1\",0,\"lean_workbook_plus_77449\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028074.lean\",\"5e084393a3bda76612cccb0985c14e1fe261410c7ffe0fb16dc37560a4cb57c5\",0,\"lean_workbook_plus_7745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197263,
+      "path": "data/train/p94/goedel_workbook-001122-0000-472c7b5f650a5436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "472c7b5f650a5436d6bfe559b724fc7af43f2854cb27bcaaa0a592ed964855e8"
+    },
+    {
+      "bytes": 49512,
+      "path": "data/internal_test/p94/goedel_workbook-001122-0000-d96e2f70e2e9a1f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d96e2f70e2e9a1f57cf4ccca28f06b7684467f498ff2c7a9c8791c355f707f80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001123.json b/manifests/batches/goedel_workbook/001123.json
index 236ab6cec4936bc5aac3b29795580da71b763463..0029b80acbc6fbd94cfa19084eafb81b7783a871 100644
--- a/manifests/batches/goedel_workbook/001123.json
+++ b/manifests/batches/goedel_workbook/001123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001123",
   "batch_fingerprint": "f66adf7948c046fa9f25f703d61eb2cc42328ad680bfafe47bb64af540bf4153",
   "evidence": {
@@ -200,29 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001123-0000-a1d01d265ef85184.parquet",
-      "sha256": "a1d01d265ef85184aa50bdad84e2a070cc0fff4256c1e981b9c8c39f52c96ebf",
-      "bytes": 220578,
-      "rows": 42,
-      "revision": "76b9d632c5ed590d825f925efecb8f0ed5e56b77"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001123-0000-801bb84af0aee185.parquet",
-      "sha256": "801bb84af0aee1850f14e772c3f4ff752dca9ba50e8f4ce00ed900fe16b937fb",
-      "bytes": 42969,
-      "rows": 7,
-      "revision": "76b9d632c5ed590d825f925efecb8f0ed5e56b77"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001123-0000-27fe5c9a8a3bed7c.parquet",
-      "sha256": "27fe5c9a8a3bed7c74a9d0d7755d1b5389d3e7a9781e2acd139b01f82a3188a2",
-      "bytes": 32636,
-      "rows": 1,
-      "revision": "76b9d632c5ed590d825f925efecb8f0ed5e56b77"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77463",
     "goedel_workbook:lean_workbook_plus_77486",
@@ -256,5 +233,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028096.lean\",\"96c60700a52061496d32bb9cf1d656d57493ca47ae4e2ec4e0bb83ff8cbdbc5f\",0,\"lean_workbook_plus_77530\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028097.lean\",\"d3cb9fd7ebef7081e90e7ba0313cf6b655a9c23d1f461fe1d9786d2d64771650\",0,\"lean_workbook_plus_77532\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028099.lean\",\"ab514f0a49fe6e0d52c57d156c1d13d3c6c37911e7cdafcdcb6ed497fac590c1\",0,\"lean_workbook_plus_77548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220578,
+      "path": "data/train/p52/goedel_workbook-001123-0000-a1d01d265ef85184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "a1d01d265ef85184aa50bdad84e2a070cc0fff4256c1e981b9c8c39f52c96ebf"
+    },
+    {
+      "bytes": 42969,
+      "path": "data/dev/p52/goedel_workbook-001123-0000-801bb84af0aee185.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "801bb84af0aee1850f14e772c3f4ff752dca9ba50e8f4ce00ed900fe16b937fb"
+    },
+    {
+      "bytes": 32636,
+      "path": "data/internal_test/p52/goedel_workbook-001123-0000-27fe5c9a8a3bed7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "27fe5c9a8a3bed7c74a9d0d7755d1b5389d3e7a9781e2acd139b01f82a3188a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001124.json b/manifests/batches/goedel_workbook/001124.json
index ad7f8b61e90e60899594680a8eed23a06db51da0..b5437688f27a83d080088a294a093545ea67b699 100644
--- a/manifests/batches/goedel_workbook/001124.json
+++ b/manifests/batches/goedel_workbook/001124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001124",
   "batch_fingerprint": "6218b1698de69ab40793e6e821ef1bea5d49e5cfc284c982a8bdb2863d0b2f6f",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001124-0000-0284b4f9d676ba34.parquet",
-      "sha256": "0284b4f9d676ba3475649b57f872f169cbeb81242fa5a12148fadec851080ba7",
-      "bytes": 97695,
-      "rows": 24,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001124-0000-f6df6298772f3ef5.parquet",
-      "sha256": "f6df6298772f3ef5814a268e9d6aca36ad2c110e4d6deae4acf26d1f890ee94c",
-      "bytes": 60312,
-      "rows": 8,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77552",
     "goedel_workbook:lean_workbook_plus_77574",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028117.lean\",\"32bb90e05d95a5755201fa5b5960df425f0945757ff78683428a82f70c9b2fb3\",0,\"lean_workbook_plus_77648\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 97695,
+      "path": "data/train/pda/goedel_workbook-001124-0000-0284b4f9d676ba34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0284b4f9d676ba3475649b57f872f169cbeb81242fa5a12148fadec851080ba7"
+    },
+    {
+      "bytes": 60312,
+      "path": "data/dev/pda/goedel_workbook-001124-0000-f6df6298772f3ef5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f6df6298772f3ef5814a268e9d6aca36ad2c110e4d6deae4acf26d1f890ee94c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001125.json b/manifests/batches/goedel_workbook/001125.json
index abfd3ba3f0bf90d71dfb306d4c26cac0f9930f4a..83e724221a4c1b32f51d00c4e9b817168f37f194 100644
--- a/manifests/batches/goedel_workbook/001125.json
+++ b/manifests/batches/goedel_workbook/001125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001125",
   "batch_fingerprint": "ba6fb24afc46459a00aebe2c213f3b2baf7d38ca912883ac8a6a20bb4be2393d",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001125-0000-669d5e194a63d4d0.parquet",
-      "sha256": "669d5e194a63d4d09b5f9c7ab5d4e9731db810fe0bf81d25f9531ef6585acf92",
-      "bytes": 173501,
-      "rows": 39,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001125-0000-b32c43e9a82ba69b.parquet",
-      "sha256": "b32c43e9a82ba69bca0960eb29cf2e6e8ce508bdc0596940acf9e5cc3e8654e8",
-      "bytes": 35904,
-      "rows": 2,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77675",
     "goedel_workbook:lean_workbook_plus_77697",
@@ -264,5 +248,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 173501,
+      "path": "data/train/pe7/goedel_workbook-001125-0000-669d5e194a63d4d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "669d5e194a63d4d09b5f9c7ab5d4e9731db810fe0bf81d25f9531ef6585acf92"
+    },
+    {
+      "bytes": 35904,
+      "path": "data/internal_test/pe7/goedel_workbook-001125-0000-b32c43e9a82ba69b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b32c43e9a82ba69bca0960eb29cf2e6e8ce508bdc0596940acf9e5cc3e8654e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001126.json b/manifests/batches/goedel_workbook/001126.json
index a5fce352f4f7dd57f8bab073d7a146e4a4c48c31..768e4fea59ca7d3af0dea27c330599ad08eda22a 100644
--- a/manifests/batches/goedel_workbook/001126.json
+++ b/manifests/batches/goedel_workbook/001126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001126",
   "batch_fingerprint": "ad9d3bc9a89e7e07eadb4909bc78017c84f6c93cbce86845ebe4e07ed3307319",
   "evidence": {
@@ -109,29 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001126-0000-323a90de9f840552.parquet",
-      "sha256": "323a90de9f840552538cca355c855289e5df76c95200318a2d6e010afa6cb0ba",
-      "bytes": 171375,
-      "rows": 37,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001126-0000-2256cc0064bfc6d8.parquet",
-      "sha256": "2256cc0064bfc6d8d2739a72bf37f6ab6954ed4fd2793ed3143359e75b332e5a",
-      "bytes": 44302,
-      "rows": 1,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001126-0000-c3782fd12c7a3987.parquet",
-      "sha256": "c3782fd12c7a398793849ab142439c7bd5798f5c2cd37c1a6fa1cf6222135d8c",
-      "bytes": 58455,
-      "rows": 12,
-      "revision": "d4dd040ec3e4ede6747466447e5498bb555a74a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77838",
     "goedel_workbook:lean_workbook_plus_77839",
@@ -175,5 +152,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028171.lean\",\"cbc88a71bd9c5baf6561197dba31f20b5af6d53755a299cc933f84ff7b71cfb6\",0,\"lean_workbook_plus_77948\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028172.lean\",\"560cd634abf0421758527a7f319e3883506fc60ba9ac2bdff3f63c845ef986f9\",0,\"lean_workbook_plus_77949\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 171375,
+      "path": "data/train/p4e/goedel_workbook-001126-0000-323a90de9f840552.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "323a90de9f840552538cca355c855289e5df76c95200318a2d6e010afa6cb0ba"
+    },
+    {
+      "bytes": 44302,
+      "path": "data/dev/p4e/goedel_workbook-001126-0000-2256cc0064bfc6d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2256cc0064bfc6d8d2739a72bf37f6ab6954ed4fd2793ed3143359e75b332e5a"
+    },
+    {
+      "bytes": 58455,
+      "path": "data/internal_test/p4e/goedel_workbook-001126-0000-c3782fd12c7a3987.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c3782fd12c7a398793849ab142439c7bd5798f5c2cd37c1a6fa1cf6222135d8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001127.json b/manifests/batches/goedel_workbook/001127.json
index 1a4dfb3e801ecb36607796c780ffca45f9208e0c..77b7b410d107c300951310607806116a3cd7a639 100644
--- a/manifests/batches/goedel_workbook/001127.json
+++ b/manifests/batches/goedel_workbook/001127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001127",
   "batch_fingerprint": "58e3220580222b48cae210dfe07f95deee1fefd6bedea95782a8ef42a8ab2ef8",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001127-0000-55a014cc8dafd927.parquet",
-      "sha256": "55a014cc8dafd9279c83a76e2381092ac9169d9548c5373c56cf34dda7ec2f87",
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-      "rows": 42,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001127-0000-6137e4a2ed79f9e8.parquet",
-      "sha256": "6137e4a2ed79f9e864914133ee3ae71028b47194f8a92a08e3163f35ef3380c9",
-      "bytes": 61068,
-      "rows": 9,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001127-0000-113ac19c9aaf89cd.parquet",
-      "sha256": "113ac19c9aaf89cdd8dad082458bde57c80d4e5e87371a1f9542ba7f7a252609",
-      "bytes": 38128,
-      "rows": 3,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_77956",
     "goedel_workbook:lean_workbook_plus_77961",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028194.lean\",\"b0a78ff8be26229e5d217f125b0d208e36b4a7d3d8ae46eb1b4601d65f248f7e\",0,\"lean_workbook_plus_78026\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 146555,
+      "path": "data/train/pa4/goedel_workbook-001127-0000-55a014cc8dafd927.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "55a014cc8dafd9279c83a76e2381092ac9169d9548c5373c56cf34dda7ec2f87"
+    },
+    {
+      "bytes": 61068,
+      "path": "data/dev/pa4/goedel_workbook-001127-0000-6137e4a2ed79f9e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6137e4a2ed79f9e864914133ee3ae71028b47194f8a92a08e3163f35ef3380c9"
+    },
+    {
+      "bytes": 38128,
+      "path": "data/internal_test/pa4/goedel_workbook-001127-0000-113ac19c9aaf89cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "113ac19c9aaf89cdd8dad082458bde57c80d4e5e87371a1f9542ba7f7a252609"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001128.json b/manifests/batches/goedel_workbook/001128.json
index f4f662827f115967a4128a3a9a96c27d65b24481..e126b72dc0b99bc2dac3ba39b8ff885595e61c11 100644
--- a/manifests/batches/goedel_workbook/001128.json
+++ b/manifests/batches/goedel_workbook/001128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001128",
   "batch_fingerprint": "0e1d211eaf6002c76036b8309e03a306f8e99bf58cadbbc3cf2c7df30685def6",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001128-0000-70130fb3b47f9172.parquet",
-      "sha256": "70130fb3b47f917291899f7e9438fc0e83ded6a81942427e16e7f34f1fb79db6",
-      "bytes": 117617,
-      "rows": 29,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001128-0000-00ee34e857600550.parquet",
-      "sha256": "00ee34e857600550a1accd3c37ee1369a18337e61326f5f18f773ae83b430512",
-      "bytes": 52309,
-      "rows": 6,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001128-0000-b3ccdd4f6c1b4f3f.parquet",
-      "sha256": "b3ccdd4f6c1b4f3f09c90fb21fc050cf63551328628f91eab04a9283d281db26",
-      "bytes": 34065,
-      "rows": 1,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78048",
     "goedel_workbook:lean_workbook_plus_7806",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028219.lean\",\"d7c35d9939efea96e6dd7ca06cc9cdde719b9dc8803c569d1a14fa6df5bececb\",0,\"lean_workbook_plus_78123\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028221.lean\",\"457007f1cbff13af1044b6d726c1f884b26234b8bc4ac6cf9ccb2cc1cb98674b\",0,\"lean_workbook_plus_78127\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028223.lean\",\"fe5a1354bd37ef0bf6f8c192189639b815688302359cb37baac2cb1936fc3761\",0,\"lean_workbook_plus_78132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117617,
+      "path": "data/train/p25/goedel_workbook-001128-0000-70130fb3b47f9172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "70130fb3b47f917291899f7e9438fc0e83ded6a81942427e16e7f34f1fb79db6"
+    },
+    {
+      "bytes": 52309,
+      "path": "data/dev/p25/goedel_workbook-001128-0000-00ee34e857600550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "00ee34e857600550a1accd3c37ee1369a18337e61326f5f18f773ae83b430512"
+    },
+    {
+      "bytes": 34065,
+      "path": "data/internal_test/p25/goedel_workbook-001128-0000-b3ccdd4f6c1b4f3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b3ccdd4f6c1b4f3f09c90fb21fc050cf63551328628f91eab04a9283d281db26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001129.json b/manifests/batches/goedel_workbook/001129.json
index a9fafeb06801c2062a648ce0680307cd9a734f83..4fea92f39a7c1bb9501f74a848fcae87d5b75142 100644
--- a/manifests/batches/goedel_workbook/001129.json
+++ b/manifests/batches/goedel_workbook/001129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001129",
   "batch_fingerprint": "a924e1a2f50e13693c2ebdc03779f94e5a7c6de7933596f2ddb26e7dc7df684b",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001129-0000-28ab7c2d8e538f98.parquet",
-      "sha256": "28ab7c2d8e538f985602f96582f4043f20bf85b1ed8c9b08fe8d74ea272325d8",
-      "bytes": 86203,
-      "rows": 18,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001129-0000-add5a96ef02a4494.parquet",
-      "sha256": "add5a96ef02a44948aa2ef30a7ce51d9d1b1c661ec9ab573371729e19180cfcf",
-      "bytes": 47062,
-      "rows": 6,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78148",
     "goedel_workbook:lean_workbook_plus_78160",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028243.lean\",\"26d7348ac99266872bd99b7aa3220353e771b98ca87c750d7aea2f817b600c32\",0,\"lean_workbook_plus_78223\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028245.lean\",\"046852f7346c4ebbc79b2b17ebbb7da3a360cb625c360fcb66b1342dc2388ae3\",0,\"lean_workbook_plus_78228\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028247.lean\",\"1362a74e7dc3f66cbf4e788aebd697663607e8ef3b584a6d634fa16f257f6e71\",0,\"lean_workbook_plus_78237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86203,
+      "path": "data/train/paf/goedel_workbook-001129-0000-28ab7c2d8e538f98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "28ab7c2d8e538f985602f96582f4043f20bf85b1ed8c9b08fe8d74ea272325d8"
+    },
+    {
+      "bytes": 47062,
+      "path": "data/internal_test/paf/goedel_workbook-001129-0000-add5a96ef02a4494.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "add5a96ef02a44948aa2ef30a7ce51d9d1b1c661ec9ab573371729e19180cfcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001130.json b/manifests/batches/goedel_workbook/001130.json
index f1edada9348fe0ad20236826aa069108625c50b8..4fa54e0f98d871c2dd15ab1006eee9232322c027 100644
--- a/manifests/batches/goedel_workbook/001130.json
+++ b/manifests/batches/goedel_workbook/001130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001130",
   "batch_fingerprint": "4cdbdd61f273cf11970bf4c93b9ddc00f3efa5dbb6eb22c846616f0f6d4d7ce3",
   "evidence": {
@@ -290,29 +289,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001130-0000-5385e459bc11dd29.parquet",
-      "sha256": "5385e459bc11dd29250dab68c537ffaa927928ea84b9d196a0bc7ecbb67ab61a",
-      "bytes": 98302,
-      "rows": 24,
-      "revision": "62a2c716460f38f27572e1a07025bb18a236b208"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001130-0000-5a3d5b870a8c6f14.parquet",
-      "sha256": "5a3d5b870a8c6f148b42d67d1c8948adeff8af37bb8a0c165313238bc704a460",
-      "bytes": 39393,
-      "rows": 5,
-      "revision": "62a2c716460f38f27572e1a07025bb18a236b208"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001130-0000-c064b16992e613d5.parquet",
-      "sha256": "c064b16992e613d50988a240c642691eb62283f1a0a370f0c623c4670659d2c3",
-      "bytes": 29040,
-      "rows": 1,
-      "revision": "62a2c716460f38f27572e1a07025bb18a236b208"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78255",
     "goedel_workbook:lean_workbook_plus_78256",
@@ -336,5 +313,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028269.lean\",\"fdcd0d1be18772f9904b3a5f537249e6de028af5b447c364ed61e2293378604e\",0,\"lean_workbook_plus_78343\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028271.lean\",\"05920f9f2481849361fe0d0e10d88f7a12991cea55db33d591a1fe7ea256aff0\",0,\"lean_workbook_plus_78349\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028274.lean\",\"d5239ac88456f08aa7430eb6f5df23aa81b89f13f25eaee1cae9f681d948f4a0\",0,\"lean_workbook_plus_7836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98302,
+      "path": "data/train/pf1/goedel_workbook-001130-0000-5385e459bc11dd29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5385e459bc11dd29250dab68c537ffaa927928ea84b9d196a0bc7ecbb67ab61a"
+    },
+    {
+      "bytes": 39393,
+      "path": "data/dev/pf1/goedel_workbook-001130-0000-5a3d5b870a8c6f14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5a3d5b870a8c6f148b42d67d1c8948adeff8af37bb8a0c165313238bc704a460"
+    },
+    {
+      "bytes": 29040,
+      "path": "data/internal_test/pf1/goedel_workbook-001130-0000-c064b16992e613d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c064b16992e613d50988a240c642691eb62283f1a0a370f0c623c4670659d2c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001131.json b/manifests/batches/goedel_workbook/001131.json
index 962460768448ad2478764412d6060639989cafc1..8fba6606e6319c516c515f65512dcc83ad35e112 100644
--- a/manifests/batches/goedel_workbook/001131.json
+++ b/manifests/batches/goedel_workbook/001131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001131",
   "batch_fingerprint": "8ad5895f7d1e173a632fc9482418fcb8df9f6b1596bc8a02df5bbc0b60353ae2",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001131-0000-d5e680929f9776da.parquet",
-      "sha256": "d5e680929f9776daac603e2ae687cc1774852f197b5daca840c43322a2e84ba2",
-      "bytes": 94319,
-      "rows": 23,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001131-0000-4729564a627bcee8.parquet",
-      "sha256": "4729564a627bcee81cbd94b032d3c232724bcbe96322cbfb409e2343fc03698e",
-      "bytes": 56110,
-      "rows": 11,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78361",
     "goedel_workbook:lean_workbook_plus_78363",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028293.lean\",\"cbb9e7d3468bd5f8460e4affd06ec78d9dd0717eb8d851ccc3ef6fb3b6f3df6b\",0,\"lean_workbook_plus_78403\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028294.lean\",\"1b4e18f0d656b0480892210db1d19cf992fdd4c8d0bdf104ad69c70fe73ba67f\",0,\"lean_workbook_plus_78407\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028296.lean\",\"c924ead31d7a571f63cd39f34a29d24c1c1ecb22b8ef8014fb45dcf0473049f2\",0,\"lean_workbook_plus_7841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94319,
+      "path": "data/train/p76/goedel_workbook-001131-0000-d5e680929f9776da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d5e680929f9776daac603e2ae687cc1774852f197b5daca840c43322a2e84ba2"
+    },
+    {
+      "bytes": 56110,
+      "path": "data/dev/p76/goedel_workbook-001131-0000-4729564a627bcee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4729564a627bcee81cbd94b032d3c232724bcbe96322cbfb409e2343fc03698e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001132.json b/manifests/batches/goedel_workbook/001132.json
index 7afe17e5a1b76ab0946486b5e84eee6f128814c4..32b4ed6f0f57752d64d7853d610fdc33093a428b 100644
--- a/manifests/batches/goedel_workbook/001132.json
+++ b/manifests/batches/goedel_workbook/001132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001132",
   "batch_fingerprint": "b9b74f0de661d889f65f916f9189d5a80d2e1108f2816710523c4dd5511d5c75",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001132-0000-1a833fc470f28220.parquet",
-      "sha256": "1a833fc470f28220bb085ea442b85f2de1cc9e7332bbfee949f2341e9f5f381a",
-      "bytes": 152085,
-      "rows": 34,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001132-0000-9221ab0d9109e907.parquet",
-      "sha256": "9221ab0d9109e9072d603c7b633994ef512e1b49f2676d9f3edf9c69c732a2d6",
-      "bytes": 35379,
-      "rows": 3,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001132-0000-f113cdb01d8a47de.parquet",
-      "sha256": "f113cdb01d8a47de08ea7e1610ab676a274e4ecf60436f3cc80d78716ee392ab",
-      "bytes": 38904,
-      "rows": 4,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78439",
     "goedel_workbook:lean_workbook_plus_78448",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028321.lean\",\"7280e98f099608312fa2f47454a0c8c8cb8b8199a242f180a66b747eaacfeb74\",0,\"lean_workbook_plus_78540\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028322.lean\",\"d5c4170025c43c2f7fc657ae6e4e0f8f6eebc51bbb81000a22ac5d6e55be21f8\",0,\"lean_workbook_plus_78541\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028324.lean\",\"735cf3d381327c30afb73993be797f7e45ec3e52aadfa57c93e16ce85ec1ec98\",0,\"lean_workbook_plus_78545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152085,
+      "path": "data/train/p4e/goedel_workbook-001132-0000-1a833fc470f28220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "1a833fc470f28220bb085ea442b85f2de1cc9e7332bbfee949f2341e9f5f381a"
+    },
+    {
+      "bytes": 35379,
+      "path": "data/dev/p4e/goedel_workbook-001132-0000-9221ab0d9109e907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9221ab0d9109e9072d603c7b633994ef512e1b49f2676d9f3edf9c69c732a2d6"
+    },
+    {
+      "bytes": 38904,
+      "path": "data/internal_test/p4e/goedel_workbook-001132-0000-f113cdb01d8a47de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f113cdb01d8a47de08ea7e1610ab676a274e4ecf60436f3cc80d78716ee392ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001133.json b/manifests/batches/goedel_workbook/001133.json
index deedff4fdf367c491b5fed5c5a24bc5e9cf2b39e..d49f83e219826dacbc0727ab05e0f6674ce41718 100644
--- a/manifests/batches/goedel_workbook/001133.json
+++ b/manifests/batches/goedel_workbook/001133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001133",
   "batch_fingerprint": "8f7cb7b9d30f4312b6ce51318bd9d19c64bcf16527ea190f36e5b7cc22bf3029",
   "evidence": {
@@ -271,29 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001133-0000-7958b4faef3bf464.parquet",
-      "sha256": "7958b4faef3bf464273d16b6002bf725fd8adad0db63faff334a9fb19b2c5f4e",
-      "bytes": 74750,
-      "rows": 19,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001133-0000-2c2c08749db960c7.parquet",
-      "sha256": "2c2c08749db960c762040b9b9b1dff97e0696f13641d208e21f515d4fd6acb6c",
-      "bytes": 65877,
-      "rows": 12,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001133-0000-76b81c8caa51ddca.parquet",
-      "sha256": "76b81c8caa51ddcad64a904a4a7d95a012909b56e3c3f3e4af0cdf994edb5fdc",
-      "bytes": 25154,
-      "rows": 1,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78547",
     "goedel_workbook:lean_workbook_plus_78550",
@@ -319,5 +296,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028347.lean\",\"c5e77968cb5f03a9a552855c3d63d80c6371c87639ab2db6431806c0b06f6804\",0,\"lean_workbook_plus_78610\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028348.lean\",\"29581a8da428a3ac41fd0bb5e03aedc65ebd9c031d1fc7c97864f5d5a1005fda\",0,\"lean_workbook_plus_78615\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028349.lean\",\"c09fe9fd28057be18f64aee306599d0e4c15531ac84770b0dc631b8d687c20d2\",0,\"lean_workbook_plus_78617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74750,
+      "path": "data/train/pa3/goedel_workbook-001133-0000-7958b4faef3bf464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7958b4faef3bf464273d16b6002bf725fd8adad0db63faff334a9fb19b2c5f4e"
+    },
+    {
+      "bytes": 65877,
+      "path": "data/dev/pa3/goedel_workbook-001133-0000-2c2c08749db960c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2c2c08749db960c762040b9b9b1dff97e0696f13641d208e21f515d4fd6acb6c"
+    },
+    {
+      "bytes": 25154,
+      "path": "data/internal_test/pa3/goedel_workbook-001133-0000-76b81c8caa51ddca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76b81c8caa51ddcad64a904a4a7d95a012909b56e3c3f3e4af0cdf994edb5fdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001134.json b/manifests/batches/goedel_workbook/001134.json
index eac1abd81cf72d4e3b20c3b9a66221ca833f099b..8e3922480d81af50e8c09263c4a025043f07a2bf 100644
--- a/manifests/batches/goedel_workbook/001134.json
+++ b/manifests/batches/goedel_workbook/001134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001134",
   "batch_fingerprint": "b45f2792ff36c7e41f29bc1fd38ceaac74ec7bc835b9ed2664ec501918f4d6f1",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001134-0000-adda72d96435d8a9.parquet",
-      "sha256": "adda72d96435d8a94ee2cf18d600e250f61ad709e0875000b18b833ff87c35be",
-      "bytes": 192398,
-      "rows": 48,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001134-0000-1472e8075ad6bd44.parquet",
-      "sha256": "1472e8075ad6bd441e60fe673ad132bbd5fab61c0cc1086f1689b4931c457368",
-      "bytes": 28035,
-      "rows": 1,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001134-0000-f148fe875952e40d.parquet",
-      "sha256": "f148fe875952e40d59ab46cc645812dec24813dd4fcbfead85feed5151a4cf4e",
-      "bytes": 37426,
-      "rows": 4,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78618",
     "goedel_workbook:lean_workbook_plus_78620",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028371.lean\",\"d5a66c3d4058e146fcbc277c0235b04b0b827531f404bca498e3ca46bf69df2a\",0,\"lean_workbook_plus_78681\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028373.lean\",\"9e6bd00e3ba6b76411828beb71f66b9aeff6e90fe78cf8ea5f38361841205090\",0,\"lean_workbook_plus_78696\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028374.lean\",\"d9474b8ad03ee80c10465be4689617f94c99a89f0138f10fa5d27816598ba579\",0,\"lean_workbook_plus_78699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192398,
+      "path": "data/train/p68/goedel_workbook-001134-0000-adda72d96435d8a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "adda72d96435d8a94ee2cf18d600e250f61ad709e0875000b18b833ff87c35be"
+    },
+    {
+      "bytes": 28035,
+      "path": "data/dev/p68/goedel_workbook-001134-0000-1472e8075ad6bd44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1472e8075ad6bd441e60fe673ad132bbd5fab61c0cc1086f1689b4931c457368"
+    },
+    {
+      "bytes": 37426,
+      "path": "data/internal_test/p68/goedel_workbook-001134-0000-f148fe875952e40d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f148fe875952e40d59ab46cc645812dec24813dd4fcbfead85feed5151a4cf4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001135.json b/manifests/batches/goedel_workbook/001135.json
index 902623a29deadfdaf05564858d8f17d3b0600a8d..aadc5505f827b4af4d1c0550139312733bedd5e8 100644
--- a/manifests/batches/goedel_workbook/001135.json
+++ b/manifests/batches/goedel_workbook/001135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001135",
   "batch_fingerprint": "cd6b6ca5ce276123ae53bc97bde99c89055c079b1c5444e48932957f968d88fc",
   "evidence": {
@@ -280,22 +279,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001135-0000-b2f9c9fd2a8bd28d.parquet",
-      "sha256": "b2f9c9fd2a8bd28dce5221ce520f47da03af7bb54ffdaf264e312c7f0365f5c6",
-      "bytes": 105139,
-      "rows": 26,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001135-0000-813c2e372c11ab59.parquet",
-      "sha256": "813c2e372c11ab5963633f64d486cfd7e0f54c48ad4e00311e0b503e3da3ee1b",
-      "bytes": 72840,
-      "rows": 17,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78717",
     "goedel_workbook:lean_workbook_plus_78721",
@@ -321,5 +305,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028395.lean\",\"2ef8807d0880ca6837d588137f86cb9885b4156d25828e7d39642cb73c6e6197\",0,\"lean_workbook_plus_78779\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028396.lean\",\"b0992f6466493b2f14cf67a47e9636b631a7e36691ef75a0271e5e6d10722a34\",0,\"lean_workbook_plus_78790\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028397.lean\",\"21d1865dbabd4de3a4cfd9f27445e2dc8a5e559abac7526831b07702c2988a02\",0,\"lean_workbook_plus_78798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105139,
+      "path": "data/train/peb/goedel_workbook-001135-0000-b2f9c9fd2a8bd28d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b2f9c9fd2a8bd28dce5221ce520f47da03af7bb54ffdaf264e312c7f0365f5c6"
+    },
+    {
+      "bytes": 72840,
+      "path": "data/internal_test/peb/goedel_workbook-001135-0000-813c2e372c11ab59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "813c2e372c11ab5963633f64d486cfd7e0f54c48ad4e00311e0b503e3da3ee1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001136.json b/manifests/batches/goedel_workbook/001136.json
index dca67c8e2b663c385cefec62bad725373dc01343..2af6c8a4452ff8446814a312f7bb0e9ddfccbfab 100644
--- a/manifests/batches/goedel_workbook/001136.json
+++ b/manifests/batches/goedel_workbook/001136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001136",
   "batch_fingerprint": "7bca34f307c37a01de28e420a46687acaf6dedb4ce7be8cda93148a20973c194",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001136-0000-dfe90cd0261f955d.parquet",
-      "sha256": "dfe90cd0261f955d4948c64599289578d9e8c0ea81ec2bfa909271903f7e5b04",
-      "bytes": 96543,
-      "rows": 20,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001136-0000-382f5a6007bfcb45.parquet",
-      "sha256": "382f5a6007bfcb453cccfc6efc8cadc3802d27efd1cd80e3e83f77fc6dbf9a36",
-      "bytes": 48965,
-      "rows": 3,
-      "revision": "e7c84995aa7bcc14051b4d6e6606337d85ebd783"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78812",
     "goedel_workbook:lean_workbook_plus_78814",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028417.lean\",\"000fbf89878ab4867e48725d1aa24763a65b1bc6b12ca167701a3c844d95c12b\",0,\"lean_workbook_plus_78873\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028418.lean\",\"4d6b7971c68d2e4754c9a401e8a355227b804cd30262566cdc8a2309df0d0bb8\",0,\"lean_workbook_plus_7888\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028424.lean\",\"78067b369fd638c75d86dd784fd524e4c5e19e89efd7be11b6d359ac5c7a4717\",0,\"lean_workbook_plus_7890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96543,
+      "path": "data/train/p22/goedel_workbook-001136-0000-dfe90cd0261f955d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "dfe90cd0261f955d4948c64599289578d9e8c0ea81ec2bfa909271903f7e5b04"
+    },
+    {
+      "bytes": 48965,
+      "path": "data/dev/p22/goedel_workbook-001136-0000-382f5a6007bfcb45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "382f5a6007bfcb453cccfc6efc8cadc3802d27efd1cd80e3e83f77fc6dbf9a36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001137.json b/manifests/batches/goedel_workbook/001137.json
index f0f5ba8fdc27309598dccecbda9e0624c57443e4..77fd23b205ba7c5c118d899c757141a579cebb52 100644
--- a/manifests/batches/goedel_workbook/001137.json
+++ b/manifests/batches/goedel_workbook/001137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001137",
   "batch_fingerprint": "0bdaab6012739d4d49ef641aac0a7327eb806ae4cb7a4a68b9d6207c9231bc44",
   "evidence": {
@@ -272,22 +271,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001137-0000-33d3704d2569dabe.parquet",
-      "sha256": "33d3704d2569dabeacd1c9530eda28b3da439358bafc8886d32f616ed04d6178",
-      "bytes": 85397,
-      "rows": 22,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001137-0000-75fc45c57ae2b684.parquet",
-      "sha256": "75fc45c57ae2b684189d6ec30dcdfa59c783f9c70645fb80724a94f77e2aed62",
-      "bytes": 40973,
-      "rows": 8,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_78901",
     "goedel_workbook:lean_workbook_plus_78904",
@@ -315,5 +299,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028444.lean\",\"98ffa71ba811de7b18dd7b736446ac41490ecea76e57bfdc096af6c8a3adf7aa\",0,\"lean_workbook_plus_78968\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028445.lean\",\"ba800d2b6ef80da871983b6ad930b8691aab4dc7ef35397e29d7f69e3f28246c\",0,\"lean_workbook_plus_78970\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028447.lean\",\"4a591734986a6de0b21d18c72b4e953be3288f3a457c16161208918a88ac6713\",0,\"lean_workbook_plus_78977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85397,
+      "path": "data/train/pb1/goedel_workbook-001137-0000-33d3704d2569dabe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "33d3704d2569dabeacd1c9530eda28b3da439358bafc8886d32f616ed04d6178"
+    },
+    {
+      "bytes": 40973,
+      "path": "data/dev/pb1/goedel_workbook-001137-0000-75fc45c57ae2b684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "75fc45c57ae2b684189d6ec30dcdfa59c783f9c70645fb80724a94f77e2aed62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001138.json b/manifests/batches/goedel_workbook/001138.json
index 5559e2c9dbb0af2472592857bad131d8d8349bd0..6562a57ad30e9aab98d9c3db5fd7e08a9173f450 100644
--- a/manifests/batches/goedel_workbook/001138.json
+++ b/manifests/batches/goedel_workbook/001138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001138",
   "batch_fingerprint": "34f60ac8c8fab6c3a6bf2cb5afce11543f58e29882954abd806ddff447c9d69b",
   "evidence": {
@@ -192,29 +191,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001138-0000-ae2ad47d1645da55.parquet",
-      "sha256": "ae2ad47d1645da5575a8af07bb73badd01d78e8fca152983c8f6495fcccf441e",
-      "bytes": 180538,
-      "rows": 41,
-      "revision": "3eacb000fb90fbae401b950a11f71e6b6c3b83e1"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001138-0000-04f6bccb4320a4b3.parquet",
-      "sha256": "04f6bccb4320a4b3be76b5cf505fce48a4f7c3cb7318b1a4ff125ba2e9a2617e",
-      "bytes": 42657,
-      "rows": 2,
-      "revision": "3eacb000fb90fbae401b950a11f71e6b6c3b83e1"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001138-0000-a9bf4b9ac79a468a.parquet",
-      "sha256": "a9bf4b9ac79a468a90bcdd9827038b1a48bfcb3e9febc43b8951e33fdcfa491f",
-      "bytes": 38625,
-      "rows": 5,
-      "revision": "3eacb000fb90fbae401b950a11f71e6b6c3b83e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79008",
     "goedel_workbook:lean_workbook_plus_79019",
@@ -250,5 +227,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028472.lean\",\"d518b69c30de31203a711b7c854ae4e8e6e97d21699c4cb2530b2a6fdb6faa7b\",0,\"lean_workbook_plus_79083\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028473.lean\",\"722f2cef3de13872b7d806073933c40a12457b8947a9dd2231cb96385606bab2\",0,\"lean_workbook_plus_79085\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028474.lean\",\"c5b4b2f68ef53f7065c95685afa13b291ca0c87518d5a8511caba44749fd50af\",0,\"lean_workbook_plus_79087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180538,
+      "path": "data/train/pbd/goedel_workbook-001138-0000-ae2ad47d1645da55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "ae2ad47d1645da5575a8af07bb73badd01d78e8fca152983c8f6495fcccf441e"
+    },
+    {
+      "bytes": 42657,
+      "path": "data/dev/pbd/goedel_workbook-001138-0000-04f6bccb4320a4b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "04f6bccb4320a4b3be76b5cf505fce48a4f7c3cb7318b1a4ff125ba2e9a2617e"
+    },
+    {
+      "bytes": 38625,
+      "path": "data/internal_test/pbd/goedel_workbook-001138-0000-a9bf4b9ac79a468a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a9bf4b9ac79a468a90bcdd9827038b1a48bfcb3e9febc43b8951e33fdcfa491f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001139.json b/manifests/batches/goedel_workbook/001139.json
index 51f662714a669e259fe9208b28ab6e1c3666fb6b..0d6a220bc6bcb5d2344736c21289859f87593eec 100644
--- a/manifests/batches/goedel_workbook/001139.json
+++ b/manifests/batches/goedel_workbook/001139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001139",
   "batch_fingerprint": "4b731d22c56f0a2c7d155c65a6d9df7fc4a7c3e408ad5040598687a15449cb4a",
   "evidence": {
@@ -181,15 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001139-0000-bf84c3d6f15e4a01.parquet",
-      "sha256": "bf84c3d6f15e4a01922566308d42c787464fbb9b0437557b018877a64f31cc00",
-      "bytes": 187193,
-      "rows": 43,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79092",
     "goedel_workbook:lean_workbook_plus_7910",
@@ -225,5 +216,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028497.lean\",\"38b3206120a54b9b21effd33278b2e1cb1b12ec7c2d86b8ca5c9e7c2935f644a\",0,\"lean_workbook_plus_79175\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028498.lean\",\"c34db7326e2ed67f18b19c9581ab06ad6e255b6b672afee71d4aaad345a427bf\",0,\"lean_workbook_plus_79191\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028499.lean\",\"6ac688caa1b9d839aaf35d30fdeb8b697b8c573a351fcc453f0cd3af7539a19c\",0,\"lean_workbook_plus_79195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187193,
+      "path": "data/train/p77/goedel_workbook-001139-0000-bf84c3d6f15e4a01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "bf84c3d6f15e4a01922566308d42c787464fbb9b0437557b018877a64f31cc00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001140.json b/manifests/batches/goedel_workbook/001140.json
index e68ea7c68d01a125790b0340162555ec0091c04c..eb7c788fb06d07db8a33cbc3c2512be3cc28c8ab 100644
--- a/manifests/batches/goedel_workbook/001140.json
+++ b/manifests/batches/goedel_workbook/001140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001140",
   "batch_fingerprint": "4a147763fa26573af1bb12cf78dfcbeb5373aeeee5c460d65ba40e12ebbef312",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001140-0000-0ca2a876d8b2e3f5.parquet",
-      "sha256": "0ca2a876d8b2e3f595fc2e5ed366e8c3061c498da85dcfb1a9e9693ab0a0903c",
-      "bytes": 214876,
-      "rows": 48,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001140-0000-2d71ec9cc37781fb.parquet",
-      "sha256": "2d71ec9cc37781fbea0f38e3cc89606f7adf7469bfb0ba5d1cce1dbbbe70867b",
-      "bytes": 46440,
-      "rows": 3,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79207",
     "goedel_workbook:lean_workbook_plus_79225",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028518.lean\",\"ebcb631f95a2e5e670b867ee279b40112afed806bb6baf7e1b8d5edb6e4d2c13\",0,\"lean_workbook_plus_79308\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028519.lean\",\"ea6c9df74d8d62af2931503f8ddaa847eb43f99784f1224b7c45f194164d3234\",0,\"lean_workbook_plus_7931\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028520.lean\",\"1bc5b53323da049cb3adcacc5ce256c37eedc5b4d1176c68d646d2953d58acb3\",0,\"lean_workbook_plus_79313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214876,
+      "path": "data/train/pe6/goedel_workbook-001140-0000-0ca2a876d8b2e3f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "0ca2a876d8b2e3f595fc2e5ed366e8c3061c498da85dcfb1a9e9693ab0a0903c"
+    },
+    {
+      "bytes": 46440,
+      "path": "data/internal_test/pe6/goedel_workbook-001140-0000-2d71ec9cc37781fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2d71ec9cc37781fbea0f38e3cc89606f7adf7469bfb0ba5d1cce1dbbbe70867b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001141.json b/manifests/batches/goedel_workbook/001141.json
index 50ee2a06a442128765773ecb9e2de630e4acd412..acf20ffb8135dfbc41603878319074ff69bcc940 100644
--- a/manifests/batches/goedel_workbook/001141.json
+++ b/manifests/batches/goedel_workbook/001141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001141",
   "batch_fingerprint": "d293fd4270ae0ed526e38ab30474e42d192c869e7e9405ad00cbda522309a48f",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001141-0000-a3e7a86207d85b16.parquet",
-      "sha256": "a3e7a86207d85b16d98024ff82f0882af63ce228f1a627a2394fa4d0574a256f",
-      "bytes": 158237,
-      "rows": 38,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001141-0000-50e31da3e6930987.parquet",
-      "sha256": "50e31da3e6930987d2aee641048527bae8be33aa53ec4637988feef381a22f1d",
-      "bytes": 37539,
-      "rows": 2,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79330",
     "goedel_workbook:lean_workbook_plus_79331",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028544.lean\",\"ab75e66927f35220e4e77cef428710de8b3f2adb248f451f0ca7d049eb07822f\",0,\"lean_workbook_plus_79399\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028546.lean\",\"4bb6034a75741628f9da530a02c01a24573515c3ea6dee00bbf55d75f12d6cb6\",0,\"lean_workbook_plus_79411\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028549.lean\",\"a70ad05b795e81663f547ad494e889261c4fde1eae3ccb0dc7ca5aacdbdf746c\",0,\"lean_workbook_plus_79422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158237,
+      "path": "data/train/p60/goedel_workbook-001141-0000-a3e7a86207d85b16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "a3e7a86207d85b16d98024ff82f0882af63ce228f1a627a2394fa4d0574a256f"
+    },
+    {
+      "bytes": 37539,
+      "path": "data/dev/p60/goedel_workbook-001141-0000-50e31da3e6930987.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "50e31da3e6930987d2aee641048527bae8be33aa53ec4637988feef381a22f1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001142.json b/manifests/batches/goedel_workbook/001142.json
index 983934fbc7fea19ad292eb1da84509a7598d4f55..b7197ea32f35ec753eb7969aa915e4f1eb480683 100644
--- a/manifests/batches/goedel_workbook/001142.json
+++ b/manifests/batches/goedel_workbook/001142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001142",
   "batch_fingerprint": "48e0959d7c8d7aec3bc32bda38b5dd00e456a447286d8379bd36eb17ac87ecf4",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001142-0000-e1e803971f7a1665.parquet",
-      "sha256": "e1e803971f7a16653909e65672492d3ce38b4ac7105546d15fa3f56b99b25cfd",
-      "bytes": 126306,
-      "rows": 32,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001142-0000-2826884f4ad9fde2.parquet",
-      "sha256": "2826884f4ad9fde21be32615bf5032311be8d1b629ff2147a9301ef31ed4d0f9",
-      "bytes": 44916,
-      "rows": 3,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001142-0000-654df499e9204f79.parquet",
-      "sha256": "654df499e9204f791dcbb8db3270fa6199957c178183c68eb26771fbe26774bd",
-      "bytes": 47361,
-      "rows": 6,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79425",
     "goedel_workbook:lean_workbook_plus_79440",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028572.lean\",\"87f23672f8c19c841a70f6eb5bf3c9e3fcdc2da910833f08721fc4d7b4b88c73\",0,\"lean_workbook_plus_79539\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028574.lean\",\"cb501e759378046cf8ad460cd70a5dd7b237ae70c0549d4090cf9ee4a35fd516\",0,\"lean_workbook_plus_79556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126306,
+      "path": "data/train/p8e/goedel_workbook-001142-0000-e1e803971f7a1665.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "e1e803971f7a16653909e65672492d3ce38b4ac7105546d15fa3f56b99b25cfd"
+    },
+    {
+      "bytes": 44916,
+      "path": "data/dev/p8e/goedel_workbook-001142-0000-2826884f4ad9fde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2826884f4ad9fde21be32615bf5032311be8d1b629ff2147a9301ef31ed4d0f9"
+    },
+    {
+      "bytes": 47361,
+      "path": "data/internal_test/p8e/goedel_workbook-001142-0000-654df499e9204f79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "654df499e9204f791dcbb8db3270fa6199957c178183c68eb26771fbe26774bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001143.json b/manifests/batches/goedel_workbook/001143.json
index 3c6d93c06c31c661ab8eaea09225dca8f6c76fb5..57551cebf60d763d3d2b4a917e944e5801d75b06 100644
--- a/manifests/batches/goedel_workbook/001143.json
+++ b/manifests/batches/goedel_workbook/001143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001143",
   "batch_fingerprint": "86137b0c0a34ec077a62fe63841a5fbb2065cdd27f68e2aa565996a5e67be3c5",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001143-0000-c7705bd6da0683d1.parquet",
-      "sha256": "c7705bd6da0683d1de7bf2f0777472b4a9fd37668d1b103c332a2ff50098b8b8",
-      "bytes": 198331,
-      "rows": 43,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001143-0000-dfaf805dc7ecbe8a.parquet",
-      "sha256": "dfaf805dc7ecbe8ac35eb754cbb203aa43a8d0d5d2dee277361774f1b6f0ab9b",
-      "bytes": 36863,
-      "rows": 2,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79560",
     "goedel_workbook:lean_workbook_plus_79564",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028597.lean\",\"fea4edbdbe049d1aa36f4c3b8864f8eb92e1b6be6203088e1f46c016c91d2435\",0,\"lean_workbook_plus_7967\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028598.lean\",\"ecd3a294c73061b60c845fa055895fca430b62cec4eedd9041376c97434919a5\",0,\"lean_workbook_plus_79671\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028599.lean\",\"46328dba2f63f51622ca93d39eb0870f8c8ecf57f47412f1eab281eff66a567d\",0,\"lean_workbook_plus_79673\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198331,
+      "path": "data/train/pa4/goedel_workbook-001143-0000-c7705bd6da0683d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "c7705bd6da0683d1de7bf2f0777472b4a9fd37668d1b103c332a2ff50098b8b8"
+    },
+    {
+      "bytes": 36863,
+      "path": "data/internal_test/pa4/goedel_workbook-001143-0000-dfaf805dc7ecbe8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dfaf805dc7ecbe8ac35eb754cbb203aa43a8d0d5d2dee277361774f1b6f0ab9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001144.json b/manifests/batches/goedel_workbook/001144.json
index cf0810129652e8633f158c74ce0035851da6951e..9c5d36081be5c1a8a4137b7bb4967d5384763d46 100644
--- a/manifests/batches/goedel_workbook/001144.json
+++ b/manifests/batches/goedel_workbook/001144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001144",
   "batch_fingerprint": "1719bc509df5f010d0ff1f16c98109660515cd8027e88e92016f8b746c48f907",
   "evidence": {
@@ -235,22 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001144-0000-458a728217f9326e.parquet",
-      "sha256": "458a728217f9326e77a293fc58e3a85b4c8f74f738766d15b013c0948f4dd280",
-      "bytes": 114210,
-      "rows": 22,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001144-0000-800d42d9a19d424f.parquet",
-      "sha256": "800d42d9a19d424f75164ff557c1a86e397fd928fe89f59c0a1318eccc8dcba4",
-      "bytes": 31500,
-      "rows": 1,
-      "revision": "ba5f6a3832c0020413089cb686d7a1c00fdf69d7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79679",
     "goedel_workbook:lean_workbook_plus_79680",
@@ -280,5 +264,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028620.lean\",\"9126f363e5609d456c91b016d249b27def3482cce94f6621be1789473380f900\",0,\"lean_workbook_plus_7979\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028622.lean\",\"437a6ca0539bb5a1db1d0bf4d352a318596d5b83c357ca0a54c36ce01d3baf9c\",0,\"lean_workbook_plus_79794\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028624.lean\",\"ae1bc0b5cceccd9645abc7dff79de50f12a69486c12c5f91c96a43204d968f7d\",0,\"lean_workbook_plus_79799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114210,
+      "path": "data/train/p56/goedel_workbook-001144-0000-458a728217f9326e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "458a728217f9326e77a293fc58e3a85b4c8f74f738766d15b013c0948f4dd280"
+    },
+    {
+      "bytes": 31500,
+      "path": "data/dev/p56/goedel_workbook-001144-0000-800d42d9a19d424f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "800d42d9a19d424f75164ff557c1a86e397fd928fe89f59c0a1318eccc8dcba4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001145.json b/manifests/batches/goedel_workbook/001145.json
index 6adda9db82f5167d838b7ffd98bb50c10c88e404..6791e320036ad31314322457263ed2c44d9ba3d1 100644
--- a/manifests/batches/goedel_workbook/001145.json
+++ b/manifests/batches/goedel_workbook/001145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001145",
   "batch_fingerprint": "c188542f40b517c423a67acde18df1e3e2901ebd4f7c4a2b768148a28dabdff5",
   "evidence": {
@@ -172,29 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001145-0000-3c0d686a83c3d351.parquet",
-      "sha256": "3c0d686a83c3d35144c58b82f171c7c1c37192b4977284a9c814b45fec776cd7",
-      "bytes": 92443,
-      "rows": 23,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001145-0000-6b537a6b040ace1d.parquet",
-      "sha256": "6b537a6b040ace1d7896f9282325d3d3d62f5e21028b63b06867fb6bcc9da9f6",
-      "bytes": 26604,
-      "rows": 1,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/quarantine/goedel_workbook-001145-0000-2c963a3ce53c8f58.parquet",
-      "sha256": "2c963a3ce53c8f58bcc38ab55d48f665ba312bfa28ed767138ca86f06ab6cde1",
-      "bytes": 29441,
-      "rows": 1,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79800",
     "goedel_workbook:lean_workbook_plus_79816",
@@ -232,5 +209,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028645.lean\",\"4b1c1ff8b8316bc62ea7567eddc54b07c1ece6f335fdfed6a14661bb2b99e0f5\",0,\"lean_workbook_plus_7988\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028646.lean\",\"3bcd7ea0995460f32fb382543092849d8a90608ca0ad4bba852e8dfcc32a9916\",0,\"lean_workbook_plus_79881\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028649.lean\",\"922dc866172c574202b2a8a9c3cc85d887a9650f72238786f6d6d1dfe5349c3d\",0,\"lean_workbook_plus_7991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92443,
+      "path": "data/train/p0b/goedel_workbook-001145-0000-3c0d686a83c3d351.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "3c0d686a83c3d35144c58b82f171c7c1c37192b4977284a9c814b45fec776cd7"
+    },
+    {
+      "bytes": 26604,
+      "path": "data/internal_test/p0b/goedel_workbook-001145-0000-6b537a6b040ace1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6b537a6b040ace1d7896f9282325d3d3d62f5e21028b63b06867fb6bcc9da9f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001146.json b/manifests/batches/goedel_workbook/001146.json
index 829e8098c18af5d53fe13b9ae0042a61003742c6..fc7e5237e5ef73a834ecc253a33a1cd3e4536ad6 100644
--- a/manifests/batches/goedel_workbook/001146.json
+++ b/manifests/batches/goedel_workbook/001146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001146",
   "batch_fingerprint": "b8538d48b7c0995e9eb4cb9f8bdd0139a577d17da920a49af3f19893fdccc892",
   "evidence": {
@@ -127,29 +126,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001146-0000-741a1f3d953b5609.parquet",
-      "sha256": "741a1f3d953b5609b485157bdd0ad09f1920e5bd2eff430c21ac9988b7c94950",
-      "bytes": 167990,
-      "rows": 48,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001146-0000-1c241e899bcf3277.parquet",
-      "sha256": "1c241e899bcf32772db628776990b90e1cf93b42f03aa368f958f4aa58e99c71",
-      "bytes": 38035,
-      "rows": 3,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001146-0000-6bd899afca00c67c.parquet",
-      "sha256": "6bd899afca00c67c589ba82471db0f117e26eb56732ae409eb5e199af6edb9eb",
-      "bytes": 36298,
-      "rows": 6,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_79910",
     "goedel_workbook:lean_workbook_plus_79916",
@@ -191,5 +168,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028670.lean\",\"a2863bc61daaa5bc05bd3cf67d2c743856406338516c95e88e4e24d31e339a43\",0,\"lean_workbook_plus_79997\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028671.lean\",\"4d62a9ffe430f93034494b85be3ac6b4b22b594fffd59bf4b6eb05671b506557\",0,\"lean_workbook_plus_79998\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028672.lean\",\"f22cd3ce485181e575811887b7fb610181b5b3095adeb7dcddf36ca7e0574d01\",0,\"lean_workbook_plus_8000\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167990,
+      "path": "data/train/p48/goedel_workbook-001146-0000-741a1f3d953b5609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "741a1f3d953b5609b485157bdd0ad09f1920e5bd2eff430c21ac9988b7c94950"
+    },
+    {
+      "bytes": 38035,
+      "path": "data/dev/p48/goedel_workbook-001146-0000-1c241e899bcf3277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1c241e899bcf32772db628776990b90e1cf93b42f03aa368f958f4aa58e99c71"
+    },
+    {
+      "bytes": 36298,
+      "path": "data/internal_test/p48/goedel_workbook-001146-0000-6bd899afca00c67c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6bd899afca00c67c589ba82471db0f117e26eb56732ae409eb5e199af6edb9eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001147.json b/manifests/batches/goedel_workbook/001147.json
index 89edfe9cdc2cc865fea67dd887c7d270d53b4ff3..0709bf0c83fb11366527beade9fc22877a7a8eba 100644
--- a/manifests/batches/goedel_workbook/001147.json
+++ b/manifests/batches/goedel_workbook/001147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001147",
   "batch_fingerprint": "171f9517ae5646f14cea013fc1be5cfd944cbca3f72434d9b7c60d48a06506a7",
   "evidence": {
@@ -226,29 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001147-0000-8d4116549de65cac.parquet",
-      "sha256": "8d4116549de65cacad1e71ba374cccb62aa4379d3237402e50957ce64a1a765a",
-      "bytes": 70537,
-      "rows": 20,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001147-0000-6605e7864350463f.parquet",
-      "sha256": "6605e7864350463ff71c7b1fa20dbc2a5851e8763b4a59f55e36ded49ca4ffee",
-      "bytes": 33161,
-      "rows": 2,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001147-0000-6af66198ded7a507.parquet",
-      "sha256": "6af66198ded7a5077538873a1ef444cf0e2baede6466c0ee025cf87c7b4ecdc3",
-      "bytes": 75159,
-      "rows": 20,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80043",
     "goedel_workbook:lean_workbook_plus_80056",
@@ -280,5 +257,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028697.lean\",\"6c1c1fb46254fe9945995aaa6cdea7b6a4a36a1e368d226783aba7bb73bf0a52\",0,\"lean_workbook_plus_80143\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028698.lean\",\"3701fb43121ef8143ff018690bdeb61997abc85ab3ae9c914ed331d6ccd6831c\",0,\"lean_workbook_plus_80144\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028699.lean\",\"86c587988d6b305a230605f6c45fe7bb1d905ab68fccf74cbcaada48cf13f5b5\",0,\"lean_workbook_plus_80145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70537,
+      "path": "data/train/p3b/goedel_workbook-001147-0000-8d4116549de65cac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8d4116549de65cacad1e71ba374cccb62aa4379d3237402e50957ce64a1a765a"
+    },
+    {
+      "bytes": 33161,
+      "path": "data/dev/p3b/goedel_workbook-001147-0000-6605e7864350463f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6605e7864350463ff71c7b1fa20dbc2a5851e8763b4a59f55e36ded49ca4ffee"
+    },
+    {
+      "bytes": 75159,
+      "path": "data/internal_test/p3b/goedel_workbook-001147-0000-6af66198ded7a507.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6af66198ded7a5077538873a1ef444cf0e2baede6466c0ee025cf87c7b4ecdc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001148.json b/manifests/batches/goedel_workbook/001148.json
index 2498f438d34915defd72d6bbc8487f23f99173af..e99608b9dc7eb27cd7e5d13c3ce41293a547c3f9 100644
--- a/manifests/batches/goedel_workbook/001148.json
+++ b/manifests/batches/goedel_workbook/001148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001148",
   "batch_fingerprint": "68f20bd30ab41288ffc933d2d5faec61edb99f03a78d57603797e93084af20fe",
   "evidence": {
@@ -307,15 +306,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001148-0000-97a50d38c9d2e3d3.parquet",
-      "sha256": "97a50d38c9d2e3d305448d65bf631a47677ccf1efdc6e4901493177a8c695121",
-      "bytes": 92855,
-      "rows": 20,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80147",
     "goedel_workbook:lean_workbook_plus_80150",
@@ -337,5 +328,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028718.lean\",\"4f4bb9d712ffc0fa25d2a7558a3ecf83e99555d82341c6cd26b54d90300fbf0f\",0,\"lean_workbook_plus_80224\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028719.lean\",\"ac431bdc82c8749070034237200ada63ca1f294d166b63263041f62edd9d9695\",0,\"lean_workbook_plus_80231\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028720.lean\",\"43020b78309ac35f824e8d6306ef5f13b0d2b8c63accd91cb08d4e257a593712\",0,\"lean_workbook_plus_80233\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92855,
+      "path": "data/train/p48/goedel_workbook-001148-0000-97a50d38c9d2e3d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "97a50d38c9d2e3d305448d65bf631a47677ccf1efdc6e4901493177a8c695121"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001149.json b/manifests/batches/goedel_workbook/001149.json
index 06d83e461a35f1ef02eb8c5792fada0df83d6640..ce6f5201963e20b501f3a4026b524ca98a24bc39 100644
--- a/manifests/batches/goedel_workbook/001149.json
+++ b/manifests/batches/goedel_workbook/001149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001149",
   "batch_fingerprint": "732ccb48ab1860375ecaa1104ef4c51090810f34c0a9f227f6508e97377fb54c",
   "evidence": {
@@ -199,29 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001149-0000-b25362f6a02be1b4.parquet",
-      "sha256": "b25362f6a02be1b4f35863cc0d0c9ef6b01f0e591b71a75143ea6f91f7b65d49",
-      "bytes": 158353,
-      "rows": 39,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001149-0000-f7e5391babdad11b.parquet",
-      "sha256": "f7e5391babdad11b3dd465da653fe2069d7bfc51b1504d3b3ac0b76cbe01f246",
-      "bytes": 40626,
-      "rows": 7,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001149-0000-cc8f91cd588bcbe7.parquet",
-      "sha256": "cc8f91cd588bcbe77c5af20ca405de7b34996f73c21a41ab40172ab1e9845ddc",
-      "bytes": 35108,
-      "rows": 1,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80258",
     "goedel_workbook:lean_workbook_plus_80270",
@@ -255,5 +232,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028747.lean\",\"358d7c5ec3f21b4dc04f9590729b54b596ac52ed0252efd1eb4498ec2e76dc62\",0,\"lean_workbook_plus_80371\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028748.lean\",\"3f9c6ca698d85ff27a5fed453cad24823b65cfc2dc350ad2381a9ccc2c3892f4\",0,\"lean_workbook_plus_80373\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028749.lean\",\"094f2f99794c89f7dcccc506d22ee61b0d8a8d20b70a447cee5f6eeca512f4af\",0,\"lean_workbook_plus_80374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158353,
+      "path": "data/train/p6c/goedel_workbook-001149-0000-b25362f6a02be1b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "b25362f6a02be1b4f35863cc0d0c9ef6b01f0e591b71a75143ea6f91f7b65d49"
+    },
+    {
+      "bytes": 40626,
+      "path": "data/dev/p6c/goedel_workbook-001149-0000-f7e5391babdad11b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f7e5391babdad11b3dd465da653fe2069d7bfc51b1504d3b3ac0b76cbe01f246"
+    },
+    {
+      "bytes": 35108,
+      "path": "data/internal_test/p6c/goedel_workbook-001149-0000-cc8f91cd588bcbe7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cc8f91cd588bcbe77c5af20ca405de7b34996f73c21a41ab40172ab1e9845ddc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001150.json b/manifests/batches/goedel_workbook/001150.json
index 4c4fd4d9b77e04d701d56be6e42b9852ead14fdd..7e73dfe36da00a36e2c69a02a01b8b981c21c0aa 100644
--- a/manifests/batches/goedel_workbook/001150.json
+++ b/manifests/batches/goedel_workbook/001150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001150",
   "batch_fingerprint": "129361802433d42b36fe9d17f4441a5af421c31793e38a3da788ebdf7a1cc900",
   "evidence": {
@@ -217,15 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001150-0000-3b877e74dd2c5c86.parquet",
-      "sha256": "3b877e74dd2c5c8614eca99478df9de0d8a93ec5b9425bf4856b4048404bceec",
-      "bytes": 171347,
-      "rows": 45,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80396",
     "goedel_workbook:lean_workbook_plus_8040",
@@ -257,5 +248,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028770.lean\",\"9e2c173f2ac6dbb118896cbfc134ff1aebf0f97958c8f2dfcb7ba63946c30529\",0,\"lean_workbook_plus_80445\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028772.lean\",\"7657eb951e23e83593617e9db721d4eb3215b9942087ebbb7b4a0b32fac5f195\",0,\"lean_workbook_plus_8045\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028774.lean\",\"2576e2fe47b0cc09b779d243e2385bb2b9ac897c9756e0dd16b0470b57df2a21\",0,\"lean_workbook_plus_80460\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171347,
+      "path": "data/train/pee/goedel_workbook-001150-0000-3b877e74dd2c5c86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "3b877e74dd2c5c8614eca99478df9de0d8a93ec5b9425bf4856b4048404bceec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001151.json b/manifests/batches/goedel_workbook/001151.json
index 050999e9afe366439e552e96ed0ad3d16cbc8f6f..0ac62eeefab06da39c432d2c6530dc493baa24d5 100644
--- a/manifests/batches/goedel_workbook/001151.json
+++ b/manifests/batches/goedel_workbook/001151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001151",
   "batch_fingerprint": "1d5ae8495e3653c886fee3a775b56f2c54bcbce924db509ad1592b807bb9ec39",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001151-0000-79a220186ed66561.parquet",
-      "sha256": "79a220186ed665611c88c2b65b7bc3434e73ec95208afb3868dae340f61da444",
-      "bytes": 178844,
-      "rows": 40,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001151-0000-0e8ce0eb67d33e00.parquet",
-      "sha256": "0e8ce0eb67d33e0030d68b1b49f4b4f4ffb8de94e3ea272d2387804120a03e84",
-      "bytes": 79652,
-      "rows": 14,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80468",
     "goedel_workbook:lean_workbook_plus_8048",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028797.lean\",\"7fb56615197682f7f0137ab00e3a2c4a51bb389690b3a8ac936d37289bed15ba\",0,\"lean_workbook_plus_80589\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028798.lean\",\"1ea8a5fc1744badc2d9b597c1581022bbf8c01741a498f15bfd3fed042c06446\",0,\"lean_workbook_plus_80591\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028799.lean\",\"81bf3f81300b3d09e91ae07b20e8ec7ae06a2f8ed3e0261404d355e49dac3710\",0,\"lean_workbook_plus_80593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178844,
+      "path": "data/train/p6a/goedel_workbook-001151-0000-79a220186ed66561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "79a220186ed665611c88c2b65b7bc3434e73ec95208afb3868dae340f61da444"
+    },
+    {
+      "bytes": 79652,
+      "path": "data/internal_test/p6a/goedel_workbook-001151-0000-0e8ce0eb67d33e00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0e8ce0eb67d33e0030d68b1b49f4b4f4ffb8de94e3ea272d2387804120a03e84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001152.json b/manifests/batches/goedel_workbook/001152.json
index b8e889b36c11f4dc6a8479d032daa92d370914bc..bc855186d882dd6bc0e6d240f9869eaf9380d12f 100644
--- a/manifests/batches/goedel_workbook/001152.json
+++ b/manifests/batches/goedel_workbook/001152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001152",
   "batch_fingerprint": "d9e13bd3d5c1cf5e3ceb8f00ff8cc0b38330067c2d51b621c1b1774ee3a2a4ca",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001152-0000-6201e1d0d1c831fd.parquet",
-      "sha256": "6201e1d0d1c831fd7adf5f59928843b9dce862e86b39c512744e2ebe4a6e7daa",
-      "bytes": 147084,
-      "rows": 36,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001152-0000-a8283a4196bd54d4.parquet",
-      "sha256": "a8283a4196bd54d4804010b89fcdc71724c19db807ea2f0bcdc875c57f8ee377",
-      "bytes": 36596,
-      "rows": 4,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001152-0000-7d963b3b931ba078.parquet",
-      "sha256": "7d963b3b931ba078c15f0ee3a2ff7dd1eb45f92a2ac47410e18c5a6ca3fa91fd",
-      "bytes": 32215,
-      "rows": 1,
-      "revision": "93d0be431fcb51e5b8fe871cd86fc3dad009752c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80594",
     "goedel_workbook:lean_workbook_plus_80599",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028820.lean\",\"2f23c71fe08da697d9fff77940b887e30eafe5494a54aec95e1fa753fece4b03\",0,\"lean_workbook_plus_80647\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028821.lean\",\"0ae7f4c7469d4079477f4c5b5c77d9c1c48af0167a3cf8d3178b7537f2ce8e7b\",0,\"lean_workbook_plus_80657\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028824.lean\",\"9d01ead1b7dc76afb82caa54df569354152102549610d5cedb79eba0e614e664\",0,\"lean_workbook_plus_80671\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147084,
+      "path": "data/train/p2c/goedel_workbook-001152-0000-6201e1d0d1c831fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "6201e1d0d1c831fd7adf5f59928843b9dce862e86b39c512744e2ebe4a6e7daa"
+    },
+    {
+      "bytes": 36596,
+      "path": "data/dev/p2c/goedel_workbook-001152-0000-a8283a4196bd54d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a8283a4196bd54d4804010b89fcdc71724c19db807ea2f0bcdc875c57f8ee377"
+    },
+    {
+      "bytes": 32215,
+      "path": "data/internal_test/p2c/goedel_workbook-001152-0000-7d963b3b931ba078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7d963b3b931ba078c15f0ee3a2ff7dd1eb45f92a2ac47410e18c5a6ca3fa91fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001153.json b/manifests/batches/goedel_workbook/001153.json
index 57ec88f62cbeafe30ac134e7d00d0f32ad41c000..02a97764c2ecc613ad2917644171382f893f53e3 100644
--- a/manifests/batches/goedel_workbook/001153.json
+++ b/manifests/batches/goedel_workbook/001153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001153",
   "batch_fingerprint": "46718348cc7e57cee2db7734118e4412e0fb932f86d6d3aa0f5ece8d4a453e9b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001153-0000-41f7eebfba94f695.parquet",
-      "sha256": "41f7eebfba94f69562c3e11a58663aadeae4bf3f7c39a73e818bb8570169cc02",
-      "bytes": 194683,
-      "rows": 36,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001153-0000-de9b5f653554ef50.parquet",
-      "sha256": "de9b5f653554ef5029d72b84b5d5996a5533107738df4c46bd4c9aaeb0bf0d64",
-      "bytes": 41650,
-      "rows": 2,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80677",
     "goedel_workbook:lean_workbook_plus_80697",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028846.lean\",\"7cc40da03ba3bc10d2b792a4b674aa7659bae96f4c088486537d95292d94d2b0\",0,\"lean_workbook_plus_80784\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028848.lean\",\"c37efe7e70ccb60b8b551676c1ad5b3b7530d939c4f7e7dfc0ee8c1de49acdad\",0,\"lean_workbook_plus_80798\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028849.lean\",\"737f5ae3519a99a7319d000a44e1f7340b1fa867aff0cfd3a9bacd97ac3ac388\",0,\"lean_workbook_plus_80799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194683,
+      "path": "data/train/p92/goedel_workbook-001153-0000-41f7eebfba94f695.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "41f7eebfba94f69562c3e11a58663aadeae4bf3f7c39a73e818bb8570169cc02"
+    },
+    {
+      "bytes": 41650,
+      "path": "data/internal_test/p92/goedel_workbook-001153-0000-de9b5f653554ef50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de9b5f653554ef5029d72b84b5d5996a5533107738df4c46bd4c9aaeb0bf0d64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001154.json b/manifests/batches/goedel_workbook/001154.json
index e0bb6ebd05d4352e3b8176a95141a90a8e28dc69..82caa4feae0b552bcd23c13c365ccbfa021bb3fc 100644
--- a/manifests/batches/goedel_workbook/001154.json
+++ b/manifests/batches/goedel_workbook/001154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001154",
   "batch_fingerprint": "8d47d4234ca3222de45d92910719c3100197c24f9b162639b6a16e0b36509b25",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001154-0000-9c040380a27e78fd.parquet",
-      "sha256": "9c040380a27e78fd7b97690152452b2dcb21ce0565eae557b9f9d4094329d711",
-      "bytes": 144237,
-      "rows": 38,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001154-0000-329df8daa4c88bda.parquet",
-      "sha256": "329df8daa4c88bda5b367aba7c6e4dcc27c9fc5ba2871556928323543c5b8379",
-      "bytes": 33315,
-      "rows": 1,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001154-0000-a67275850648a277.parquet",
-      "sha256": "a67275850648a27745bd6e0acb0c6ab35e22f257c61440ef1e2c7b1703b2e8c3",
-      "bytes": 72950,
-      "rows": 21,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80802",
     "goedel_workbook:lean_workbook_plus_80803",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028871.lean\",\"97051bd3d7b3b1bb56423f4ff5b9325b2fc316e885744193cbdf8ca600ec43a0\",0,\"lean_workbook_plus_80882\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028872.lean\",\"2f808969fb48877864aaad8b08ea46305fce0012293ebf195f1b3260bde9ecf8\",0,\"lean_workbook_plus_80885\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028874.lean\",\"074ba4d9544eb163868528bf232814ac6059656d36cd0b2831917d2c5b5af5b9\",0,\"lean_workbook_plus_80913\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144237,
+      "path": "data/train/pc3/goedel_workbook-001154-0000-9c040380a27e78fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9c040380a27e78fd7b97690152452b2dcb21ce0565eae557b9f9d4094329d711"
+    },
+    {
+      "bytes": 33315,
+      "path": "data/dev/pc3/goedel_workbook-001154-0000-329df8daa4c88bda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "329df8daa4c88bda5b367aba7c6e4dcc27c9fc5ba2871556928323543c5b8379"
+    },
+    {
+      "bytes": 72950,
+      "path": "data/internal_test/pc3/goedel_workbook-001154-0000-a67275850648a277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a67275850648a27745bd6e0acb0c6ab35e22f257c61440ef1e2c7b1703b2e8c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001155.json b/manifests/batches/goedel_workbook/001155.json
index 3d83b967c3b4c3da76f419705c30de1778faf87f..b45e4fd9375d13a514c0362c5206acf1bcc712c1 100644
--- a/manifests/batches/goedel_workbook/001155.json
+++ b/manifests/batches/goedel_workbook/001155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001155",
   "batch_fingerprint": "ca2bb9050873e6bd0377819199f89abbf1a8cbc7f18ac27509e6456fd50f2ca8",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001155-0000-d961159c6219c868.parquet",
-      "sha256": "d961159c6219c8684f143008dde8eb223b588d9688f43bd7a3de49613106f9e3",
-      "bytes": 175926,
-      "rows": 42,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001155-0000-fb5f29779d8bf6c0.parquet",
-      "sha256": "fb5f29779d8bf6c06ad980d839352452cf62f63d2a48620ac9217c10814db72e",
-      "bytes": 39602,
-      "rows": 3,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_80918",
     "goedel_workbook:lean_workbook_plus_80924",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028894.lean\",\"d704e7013199f6a311353bc1fdffe19d94eaa1c057610880cc48f9853ccaf6d4\",0,\"lean_workbook_plus_80981\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028895.lean\",\"2d33bbcb0eb7df897b9a408f40b481b289abace794c068396d5099bc0ff345da\",0,\"lean_workbook_plus_80983\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028896.lean\",\"103a68cb30e1a173489dde9fbb07a77a7967f2a819559339ee3894daf1acf250\",0,\"lean_workbook_plus_80985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175926,
+      "path": "data/train/p22/goedel_workbook-001155-0000-d961159c6219c868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "d961159c6219c8684f143008dde8eb223b588d9688f43bd7a3de49613106f9e3"
+    },
+    {
+      "bytes": 39602,
+      "path": "data/internal_test/p22/goedel_workbook-001155-0000-fb5f29779d8bf6c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fb5f29779d8bf6c06ad980d839352452cf62f63d2a48620ac9217c10814db72e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001156.json b/manifests/batches/goedel_workbook/001156.json
index 43c7a159abb192bb77df4deaa61cf5cc6146bd82..bbb2b4b465864991b705407116e7d91ae5a4e88d 100644
--- a/manifests/batches/goedel_workbook/001156.json
+++ b/manifests/batches/goedel_workbook/001156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001156",
   "batch_fingerprint": "7153bd2bd7d880d20c359558b278b5579a2c1f592f0297da8bf1556a9674d07e",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001156-0000-f2e6fc0e262070e8.parquet",
-      "sha256": "f2e6fc0e262070e887717d1dedeb74acdb3fcac8795ef4c20ed67cce28c30e58",
-      "bytes": 123529,
-      "rows": 31,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001156-0000-3fcf200b3d9128fe.parquet",
-      "sha256": "3fcf200b3d9128fea3d4362c105514676bf19778c7533f66d23409bc6435c13b",
-      "bytes": 47706,
-      "rows": 7,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001156-0000-57d647a8261622e4.parquet",
-      "sha256": "57d647a8261622e4e3ff8bf45b1b1f6871fe8e0c653ad2f758f28e4f07ca52e4",
-      "bytes": 32495,
-      "rows": 2,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81010",
     "goedel_workbook:lean_workbook_plus_81029",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028921.lean\",\"bc552d35506b7773629a640cd39b737ca26b257fbe5e3652752cba88fe5404d2\",0,\"lean_workbook_plus_81116\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028922.lean\",\"685e100d233b24f8762cdd48e650b7301fb5fd034aa43a7800ea0061bbfe69e7\",0,\"lean_workbook_plus_81117\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028923.lean\",\"bc50b6b317d5f7af9a89e90870b6fd64b6583ef5116247ac414bf6c8ad668129\",0,\"lean_workbook_plus_81119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123529,
+      "path": "data/train/p22/goedel_workbook-001156-0000-f2e6fc0e262070e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "f2e6fc0e262070e887717d1dedeb74acdb3fcac8795ef4c20ed67cce28c30e58"
+    },
+    {
+      "bytes": 47706,
+      "path": "data/dev/p22/goedel_workbook-001156-0000-3fcf200b3d9128fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3fcf200b3d9128fea3d4362c105514676bf19778c7533f66d23409bc6435c13b"
+    },
+    {
+      "bytes": 32495,
+      "path": "data/internal_test/p22/goedel_workbook-001156-0000-57d647a8261622e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "57d647a8261622e4e3ff8bf45b1b1f6871fe8e0c653ad2f758f28e4f07ca52e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001157.json b/manifests/batches/goedel_workbook/001157.json
index c0e32c8101750a38c8d04e5a3a142deb79d55738..4046dc443eb321b1d94687296643b8271e8176ab 100644
--- a/manifests/batches/goedel_workbook/001157.json
+++ b/manifests/batches/goedel_workbook/001157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001157",
   "batch_fingerprint": "d71143ad092dbcb2440af8b4449fc7ba949760d01dd4c2f835722efc74e30bf1",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001157-0000-2931accbd91b783a.parquet",
-      "sha256": "2931accbd91b783add60c428c8bfea8164c843e81f7f6151e6e7abb8822a2565",
-      "bytes": 162689,
-      "rows": 36,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001157-0000-6f8df8c02e770aaa.parquet",
-      "sha256": "6f8df8c02e770aaadbd9419a1aa8bfbb7a6d3eb5497a5c48493cfa6039540697",
-      "bytes": 67305,
-      "rows": 2,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81130",
     "goedel_workbook:lean_workbook_plus_81133",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028947.lean\",\"9640621d5cfb2c3415ad0e4c009479bb86b100891ddd3444835560955bbe7f8d\",0,\"lean_workbook_plus_81229\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028948.lean\",\"814d0b6473be7dcd274ee86d7f115ae996a830c24ff0bdd49ccdb953332d5d05\",0,\"lean_workbook_plus_81230\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028949.lean\",\"b508d1e870afe13136bedad0183665b4641945d0de23831ba1fd5d67c89a8f38\",0,\"lean_workbook_plus_81232\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162689,
+      "path": "data/train/pb7/goedel_workbook-001157-0000-2931accbd91b783a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "2931accbd91b783add60c428c8bfea8164c843e81f7f6151e6e7abb8822a2565"
+    },
+    {
+      "bytes": 67305,
+      "path": "data/internal_test/pb7/goedel_workbook-001157-0000-6f8df8c02e770aaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6f8df8c02e770aaadbd9419a1aa8bfbb7a6d3eb5497a5c48493cfa6039540697"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001158.json b/manifests/batches/goedel_workbook/001158.json
index e951973a274abf5a7c68ebd0a1ea7fd441c3008c..b7f3f5c13c5b0b8c58ae3aa1fffd45f9af40fc96 100644
--- a/manifests/batches/goedel_workbook/001158.json
+++ b/manifests/batches/goedel_workbook/001158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001158",
   "batch_fingerprint": "60d317d6de2c3ad29c583fcdcb3a6896212e4189c0ec5239ead3f09b5f3a95e9",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001158-0000-f29da8261f2a0e60.parquet",
-      "sha256": "f29da8261f2a0e6056b649f72cf3f4116ae874e21ad012570b25da5a24f118c8",
-      "bytes": 142710,
-      "rows": 35,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001158-0000-8da54f811a6ead8c.parquet",
-      "sha256": "8da54f811a6ead8c5c3f6483ca7e4083e3b209b62d30ca230989e9a2eccacbc0",
-      "bytes": 59581,
-      "rows": 13,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001158-0000-aab4b93880d56a76.parquet",
-      "sha256": "aab4b93880d56a76829a3fcbdefa5a2ff218f1a4b23644bb1fe62649e99e2bb2",
-      "bytes": 38332,
-      "rows": 2,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81245",
     "goedel_workbook:lean_workbook_plus_81246",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028970.lean\",\"374e535c682f96f1445267648d0811bf242e596b4f351deb2dee0471558d88dc\",0,\"lean_workbook_plus_81291\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028972.lean\",\"6116f3520a6081815764f67fbc59c6d9bcee45cbc8d05e07048634775b0f38cb\",0,\"lean_workbook_plus_81295\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028974.lean\",\"130cbfaf5a4227b1419649f52de6eb9088e4a2517e447ee810a8384f9e31b1d0\",0,\"lean_workbook_plus_81298\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142710,
+      "path": "data/train/pb6/goedel_workbook-001158-0000-f29da8261f2a0e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f29da8261f2a0e6056b649f72cf3f4116ae874e21ad012570b25da5a24f118c8"
+    },
+    {
+      "bytes": 59581,
+      "path": "data/dev/pb6/goedel_workbook-001158-0000-8da54f811a6ead8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8da54f811a6ead8c5c3f6483ca7e4083e3b209b62d30ca230989e9a2eccacbc0"
+    },
+    {
+      "bytes": 38332,
+      "path": "data/internal_test/pb6/goedel_workbook-001158-0000-aab4b93880d56a76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aab4b93880d56a76829a3fcbdefa5a2ff218f1a4b23644bb1fe62649e99e2bb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001159.json b/manifests/batches/goedel_workbook/001159.json
index 12996714384618f2d4054c8f76d0551c456bf4f0..a0db3d9fbf798b3b29eb8ab3045e5cbeeccebc72 100644
--- a/manifests/batches/goedel_workbook/001159.json
+++ b/manifests/batches/goedel_workbook/001159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001159",
   "batch_fingerprint": "ca729636621292e256358bf6c4e2b380a639bf851e86f284484e28e4174377fb",
   "evidence": {
@@ -244,15 +243,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001159-0000-20952da21df2b165.parquet",
-      "sha256": "20952da21df2b165ad8c62e0b42a15e192ef1dc51955e41c587fcd217a66353c",
-      "bytes": 176209,
-      "rows": 45,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81304",
     "goedel_workbook:lean_workbook_plus_81315",
@@ -282,5 +273,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028994.lean\",\"584037355542b0ded0e4ae49cd4950634475f7e745e5a5a48fb9f7f3a9d37598\",0,\"lean_workbook_plus_81418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028995.lean\",\"60e539781788c1b18e80a2f6ce6de2ac49f5d0b7d3462251ba4ec9e70dd65bb3\",0,\"lean_workbook_plus_81426\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_028999.lean\",\"6fa38ad34da3c9697dd5dab8816b4220ac37eef1a3346f26f4e8f86a1d4d9d08\",0,\"lean_workbook_plus_81438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176209,
+      "path": "data/train/pe6/goedel_workbook-001159-0000-20952da21df2b165.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "20952da21df2b165ad8c62e0b42a15e192ef1dc51955e41c587fcd217a66353c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001160.json b/manifests/batches/goedel_workbook/001160.json
index ce8ca186cf0039121bcb141ecf9ec7f0eab3c14a..904d97a0a3e2773f0608720eeb7157103fa5c4c3 100644
--- a/manifests/batches/goedel_workbook/001160.json
+++ b/manifests/batches/goedel_workbook/001160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001160",
   "batch_fingerprint": "7357ad8c654101bd0e7aa95149126fd7b40de7aa842f98e191dc9b7120a207ee",
   "evidence": {
@@ -217,29 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001160-0000-fefb53ffc61b93a0.parquet",
-      "sha256": "fefb53ffc61b93a09ba36c7798e232b5b40e032aa4c90974cf7f5259c35de921",
-      "bytes": 163621,
-      "rows": 34,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001160-0000-a858825406029e0d.parquet",
-      "sha256": "a858825406029e0d5994a7a137c7e1b27eed527566ac584f18a34b7408aacaa7",
-      "bytes": 33396,
-      "rows": 1,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001160-0000-75495370f6f1332d.parquet",
-      "sha256": "75495370f6f1332d6abe1846d35ff8faf9a4af6d40f788c25321b6e3387832c5",
-      "bytes": 37458,
-      "rows": 5,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81451",
     "goedel_workbook:lean_workbook_plus_81452",
@@ -271,5 +248,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029019.lean\",\"0defa264ce546af264769a12d03ddfb535aade7293b98d1ea0421f56a4ade1cf\",0,\"lean_workbook_plus_81512\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029023.lean\",\"918749742b325958d7cf615d040b9dfb80a8083697d55cbf8243cf91ff7f5bf1\",0,\"lean_workbook_plus_81532\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029024.lean\",\"1cac47f6ebdfee3cbb5dfc8618eb48e7b36fd48b2e22daf3986fabb4da9ef2d4\",0,\"lean_workbook_plus_81536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163621,
+      "path": "data/train/p83/goedel_workbook-001160-0000-fefb53ffc61b93a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fefb53ffc61b93a09ba36c7798e232b5b40e032aa4c90974cf7f5259c35de921"
+    },
+    {
+      "bytes": 33396,
+      "path": "data/dev/p83/goedel_workbook-001160-0000-a858825406029e0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a858825406029e0d5994a7a137c7e1b27eed527566ac584f18a34b7408aacaa7"
+    },
+    {
+      "bytes": 37458,
+      "path": "data/internal_test/p83/goedel_workbook-001160-0000-75495370f6f1332d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "75495370f6f1332d6abe1846d35ff8faf9a4af6d40f788c25321b6e3387832c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001161.json b/manifests/batches/goedel_workbook/001161.json
index 2470b0796d760d12dae3c881f4c4b8ba67996de1..a7ddb42778fc6e3e85dd66e7e6ea0495897fdb71 100644
--- a/manifests/batches/goedel_workbook/001161.json
+++ b/manifests/batches/goedel_workbook/001161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001161",
   "batch_fingerprint": "27ef366fecb3032bcd03d39052ca617a384fcf625f894ae2e6cb26415de63230",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001161-0000-b953552cf375d9f1.parquet",
-      "sha256": "b953552cf375d9f1d59955e1ca53a8181c41c70035b191a1193bfa6a825b4a7b",
-      "bytes": 160895,
-      "rows": 44,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001161-0000-917e97ce7e3c252d.parquet",
-      "sha256": "917e97ce7e3c252d2e6fdd3d504224a3e928a72cc575286d513525c49345b320",
-      "bytes": 160524,
-      "rows": 6,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81537",
     "goedel_workbook:lean_workbook_plus_81538",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029044.lean\",\"41663fa862c79bc3900ca0607390c75c5841b2bc35fe8755819a64998e92d89e\",0,\"lean_workbook_plus_81619\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029045.lean\",\"8bdcb5950cb97944f9738e76011afb485426c43306abf5f406e6020bdf374f0f\",0,\"lean_workbook_plus_8162\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029048.lean\",\"442ea1c1c43f6acabafe8720097852662ae1f22eaab77fc4f6c814a0c1d16e15\",0,\"lean_workbook_plus_81659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160895,
+      "path": "data/train/p40/goedel_workbook-001161-0000-b953552cf375d9f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "b953552cf375d9f1d59955e1ca53a8181c41c70035b191a1193bfa6a825b4a7b"
+    },
+    {
+      "bytes": 160524,
+      "path": "data/dev/p40/goedel_workbook-001161-0000-917e97ce7e3c252d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "917e97ce7e3c252d2e6fdd3d504224a3e928a72cc575286d513525c49345b320"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001162.json b/manifests/batches/goedel_workbook/001162.json
index 494f1d3f97b8ffbe86aa651a68a0b0167f9513f8..a4623e3200e26250d5ec5a71ba05ba5fb8cd5a71 100644
--- a/manifests/batches/goedel_workbook/001162.json
+++ b/manifests/batches/goedel_workbook/001162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001162",
   "batch_fingerprint": "583c512a7deca002e6621bc6cc0f8232da03918f37a8764255309fc81541c4b3",
   "evidence": {
@@ -235,29 +234,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001162-0000-f6074d297d129406.parquet",
-      "sha256": "f6074d297d129406e61e6c95985be22446ca2e4c9bda14376ecd66ac30adfd33",
-      "bytes": 103992,
-      "rows": 31,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001162-0000-084875389b8ea1b3.parquet",
-      "sha256": "084875389b8ea1b358c4df56b1d06450466a2d2eb567c48ade6735beb7faa523",
-      "bytes": 55778,
-      "rows": 8,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001162-0000-9f302581dce9b5da.parquet",
-      "sha256": "9f302581dce9b5da7e1b55d55693bff2b918d0869e7d6a146d05876c295ace4d",
-      "bytes": 37945,
-      "rows": 2,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81703",
     "goedel_workbook:lean_workbook_plus_81707",
@@ -287,5 +264,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029071.lean\",\"11a6db8f9829b4157dde3a16a8b789909e0e4ed5a42c3c7f808b4f5e1011de6c\",0,\"lean_workbook_plus_81764\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029073.lean\",\"281c78022bfd417ce5bf9187105ef9099b714daf4f543fe4746a8ac75edc6dbe\",0,\"lean_workbook_plus_81768\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029074.lean\",\"e91f78198d241c4457f67aa293e1e4eff8d736e0626dbfaa53e4fa7a94a9bd01\",0,\"lean_workbook_plus_81772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103992,
+      "path": "data/train/p7e/goedel_workbook-001162-0000-f6074d297d129406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "f6074d297d129406e61e6c95985be22446ca2e4c9bda14376ecd66ac30adfd33"
+    },
+    {
+      "bytes": 55778,
+      "path": "data/dev/p7e/goedel_workbook-001162-0000-084875389b8ea1b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "084875389b8ea1b358c4df56b1d06450466a2d2eb567c48ade6735beb7faa523"
+    },
+    {
+      "bytes": 37945,
+      "path": "data/internal_test/p7e/goedel_workbook-001162-0000-9f302581dce9b5da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9f302581dce9b5da7e1b55d55693bff2b918d0869e7d6a146d05876c295ace4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001163.json b/manifests/batches/goedel_workbook/001163.json
index e934d5cdcd615e7884aceb839ab84da25ed08039..3e624e925852e3b5a937a681be7c76ac27ac05f6 100644
--- a/manifests/batches/goedel_workbook/001163.json
+++ b/manifests/batches/goedel_workbook/001163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001163",
   "batch_fingerprint": "d8d0994e1074b1dce9f0f6d3908562ee951cd032cb3f70e884bb9e77152c8d07",
   "evidence": {
@@ -226,22 +225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001163-0000-fe28e505051fa356.parquet",
-      "sha256": "fe28e505051fa35661e6c9e2d1d6a53568a386c7a56b00beb38d540b35abc7bc",
-      "bytes": 153041,
-      "rows": 33,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001163-0000-ea5033cc1ac078fc.parquet",
-      "sha256": "ea5033cc1ac078fcd3761cce41987c14d3d27261f38d5464afea896cc7e7a412",
-      "bytes": 71827,
-      "rows": 9,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81773",
     "goedel_workbook:lean_workbook_plus_8182",
@@ -273,5 +257,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029096.lean\",\"2a3419de73668ce79cb5f6c7ec17c5f1fd8119604f22c1861495f26995d42139\",0,\"lean_workbook_plus_81883\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029097.lean\",\"1b48872e4502f8000691ae86c118d1a294fb16ba21b8cca62f64e2675f9c4ccb\",0,\"lean_workbook_plus_81884\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029099.lean\",\"d9f353b688ce07918cdceb8089b6bb00689a74ee8e54dac884a654d2377365aa\",0,\"lean_workbook_plus_81888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153041,
+      "path": "data/train/p97/goedel_workbook-001163-0000-fe28e505051fa356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "fe28e505051fa35661e6c9e2d1d6a53568a386c7a56b00beb38d540b35abc7bc"
+    },
+    {
+      "bytes": 71827,
+      "path": "data/dev/p97/goedel_workbook-001163-0000-ea5033cc1ac078fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ea5033cc1ac078fcd3761cce41987c14d3d27261f38d5464afea896cc7e7a412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001164.json b/manifests/batches/goedel_workbook/001164.json
index f5d27506ca1c1b978661485d487d5a88429eae55..826fe3996192b5b52d59abc675fa64036edb0903 100644
--- a/manifests/batches/goedel_workbook/001164.json
+++ b/manifests/batches/goedel_workbook/001164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001164",
   "batch_fingerprint": "a67ca01a53282997cc18cc36ddb7951f1bdb01ab3881ed73a8d7d899672b9130",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001164-0000-4c70a704d72efd25.parquet",
-      "sha256": "4c70a704d72efd25eb771aa844d17c31c28f744bbe544e0526b4b59dacc3c68b",
-      "bytes": 109129,
-      "rows": 28,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001164-0000-c1f27ebcd322ffaf.parquet",
-      "sha256": "c1f27ebcd322ffaf8373294627de7db72094ccafd2e7904100d3a11b7ef08fb3",
-      "bytes": 39909,
-      "rows": 3,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_81897",
     "goedel_workbook:lean_workbook_plus_81910",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029119.lean\",\"86c5772dfdf19130a6d6ef4e375fa28adaf3070accd95a48afb6414bc5448d2c\",0,\"lean_workbook_plus_81978\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029124.lean\",\"4f27cbd00626d87c45945b9e264b792d706102f5bbaea76feb3da1d36c18c765\",0,\"lean_workbook_plus_82005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109129,
+      "path": "data/train/pbe/goedel_workbook-001164-0000-4c70a704d72efd25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4c70a704d72efd25eb771aa844d17c31c28f744bbe544e0526b4b59dacc3c68b"
+    },
+    {
+      "bytes": 39909,
+      "path": "data/internal_test/pbe/goedel_workbook-001164-0000-c1f27ebcd322ffaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c1f27ebcd322ffaf8373294627de7db72094ccafd2e7904100d3a11b7ef08fb3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001165.json b/manifests/batches/goedel_workbook/001165.json
index 23e073d4312a79500e2374b90cf0fb21dc9f47f6..3621e71a3cdca9757c9304307601e6cd1d73006d 100644
--- a/manifests/batches/goedel_workbook/001165.json
+++ b/manifests/batches/goedel_workbook/001165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001165",
   "batch_fingerprint": "16749181304b14715bdff6e74a39ec206cb0092141bd3d6f863100d02526f032",
   "evidence": {
@@ -154,29 +153,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001165-0000-2abe7d43b526a04f.parquet",
-      "sha256": "2abe7d43b526a04fb954905a666d0e6e42cae9115982f5c560016c6c66e693d8",
-      "bytes": 156843,
-      "rows": 39,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001165-0000-fa619d30efe264ce.parquet",
-      "sha256": "fa619d30efe264ceec50ef12ffc92f13013a6e260b946e43be581896026bb589",
-      "bytes": 34640,
-      "rows": 3,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001165-0000-fdacdfa9476519f5.parquet",
-      "sha256": "fdacdfa9476519f5ff0dc21f8ab8997b76ac4eaeec3a554f86fa8647aecf2d70",
-      "bytes": 69778,
-      "rows": 15,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82011",
     "goedel_workbook:lean_workbook_plus_82024",
@@ -216,5 +193,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029147.lean\",\"4d922ed30dc27c723f56a73d5ff276a3df64acbd003b3c486ac75b50d402af86\",0,\"lean_workbook_plus_82087\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029148.lean\",\"c8c09a71bc840e4f470bb89696fc0bb734d87887c7a29c6a1193c24ac408b0e1\",0,\"lean_workbook_plus_8209\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029149.lean\",\"9989126c37ec40d9e42cdc6d1f05153df391180839946b3ac0f2afd31d115ca7\",0,\"lean_workbook_plus_82090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156843,
+      "path": "data/train/p6d/goedel_workbook-001165-0000-2abe7d43b526a04f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "2abe7d43b526a04fb954905a666d0e6e42cae9115982f5c560016c6c66e693d8"
+    },
+    {
+      "bytes": 34640,
+      "path": "data/dev/p6d/goedel_workbook-001165-0000-fa619d30efe264ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fa619d30efe264ceec50ef12ffc92f13013a6e260b946e43be581896026bb589"
+    },
+    {
+      "bytes": 69778,
+      "path": "data/internal_test/p6d/goedel_workbook-001165-0000-fdacdfa9476519f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fdacdfa9476519f5ff0dc21f8ab8997b76ac4eaeec3a554f86fa8647aecf2d70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001166.json b/manifests/batches/goedel_workbook/001166.json
index f6970be008b46768b688370015f3dd61f4cce332..2e829edd7754ccd02edcc4049b74d0544b02a4e3 100644
--- a/manifests/batches/goedel_workbook/001166.json
+++ b/manifests/batches/goedel_workbook/001166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001166",
   "batch_fingerprint": "b52d48af46298287243085274bccf12b398b6a8f4abb04d7460ab06d2bbccadf",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001166-0000-22382126b29356f0.parquet",
-      "sha256": "22382126b29356f0cc70852304cd3d0a6963cc93288c9a2b907ffeb9e0b7d6fe",
-      "bytes": 184249,
-      "rows": 30,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001166-0000-4776db45c203a432.parquet",
-      "sha256": "4776db45c203a432407d8fb7517987892c1149e0d015a1e9bbe50bca9a22f0fe",
-      "bytes": 51996,
-      "rows": 9,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82094",
     "goedel_workbook:lean_workbook_plus_82104",
@@ -312,5 +296,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029172.lean\",\"e47559c366bbd66604d4a5b93273eea993d4064f5ada53eb1235fc545d481639\",0,\"lean_workbook_plus_82162\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029173.lean\",\"ecd45beb4f94987fa547b15c2061d39f765ab7a529bb293b845aef48e8a3c4ec\",0,\"lean_workbook_plus_82174\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029174.lean\",\"dc90f5399aa348ad1a2de781823f6f6cb33a86e00a54899da3970c202fbf24ae\",0,\"lean_workbook_plus_82176\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184249,
+      "path": "data/train/pf1/goedel_workbook-001166-0000-22382126b29356f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "22382126b29356f0cc70852304cd3d0a6963cc93288c9a2b907ffeb9e0b7d6fe"
+    },
+    {
+      "bytes": 51996,
+      "path": "data/internal_test/pf1/goedel_workbook-001166-0000-4776db45c203a432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4776db45c203a432407d8fb7517987892c1149e0d015a1e9bbe50bca9a22f0fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001167.json b/manifests/batches/goedel_workbook/001167.json
index c9ba7e6f1344885edec043dd6678d0a9f36c9ac7..958dbb7e4f3617479c56e01689f66f66d75ad886 100644
--- a/manifests/batches/goedel_workbook/001167.json
+++ b/manifests/batches/goedel_workbook/001167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001167",
   "batch_fingerprint": "f4ee4ed476da69b7696ea4e8219e4654ee57cef6991d6fc73ad26c2ef549e843",
   "evidence": {
@@ -200,22 +199,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001167-0000-759cf6a1fc8c67a2.parquet",
-      "sha256": "759cf6a1fc8c67a2dda7641663a808ee3824d4eecc054a94eebd0449cf02e2ff",
-      "bytes": 176324,
-      "rows": 50,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001167-0000-fc102d8cffbe2e52.parquet",
-      "sha256": "fc102d8cffbe2e526e9ab7e17b322d49128a94bda719ed9dafbfde06ee640d71",
-      "bytes": 37533,
-      "rows": 2,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82179",
     "goedel_workbook:lean_workbook_plus_82181",
@@ -249,5 +233,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029195.lean\",\"24999839315134c50e16b23cffab7d094309b0df27eaf4abfdd0d36b4d271059\",0,\"lean_workbook_plus_82259\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029196.lean\",\"0da55e794332e01312a821384cb3258870d95ae36b50f6cabff0d641ad8a5811\",0,\"lean_workbook_plus_82261\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029198.lean\",\"c94e475ac25c656eaf3d887b053d1ac7c0100c08f9fc9c87b0cad373c902b925\",0,\"lean_workbook_plus_82278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176324,
+      "path": "data/train/p17/goedel_workbook-001167-0000-759cf6a1fc8c67a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "759cf6a1fc8c67a2dda7641663a808ee3824d4eecc054a94eebd0449cf02e2ff"
+    },
+    {
+      "bytes": 37533,
+      "path": "data/internal_test/p17/goedel_workbook-001167-0000-fc102d8cffbe2e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fc102d8cffbe2e526e9ab7e17b322d49128a94bda719ed9dafbfde06ee640d71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001168.json b/manifests/batches/goedel_workbook/001168.json
index 3b69723a7384dfd1c207d5bac8d1a498a81fad5a..919eb0aa8d93da4c2e91636dd8b415ea85b5b281 100644
--- a/manifests/batches/goedel_workbook/001168.json
+++ b/manifests/batches/goedel_workbook/001168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001168",
   "batch_fingerprint": "52cc1225f86cdf90fabfc0211bbf572cb706dd5c432dcc7b84e37ca61215a575",
   "evidence": {
@@ -253,29 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001168-0000-213cc7229b88b7f3.parquet",
-      "sha256": "213cc7229b88b7f3c50d8bd1a897507f9b2b4063064c20045a645f18f0abb7c8",
-      "bytes": 149798,
-      "rows": 35,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001168-0000-a56397c4306b86af.parquet",
-      "sha256": "a56397c4306b86af28d12d15d79fa6edaee82d90f007f4befdddbdfa083f5668",
-      "bytes": 41562,
-      "rows": 10,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001168-0000-43e79ccbad095da0.parquet",
-      "sha256": "43e79ccbad095da0179a9c89dd175980d98874d9907e3985113098930fa771b8",
-      "bytes": 36671,
-      "rows": 2,
-      "revision": "ef8b3cfb9cf84c0b775f0ce657faaa0aced4d35b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82280",
     "goedel_workbook:lean_workbook_plus_82299",
@@ -303,5 +280,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029218.lean\",\"6639a8e686b980846cc9ec254fedb2a668db9541d563da81fbd32b5ee860248d\",0,\"lean_workbook_plus_82357\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029220.lean\",\"e7a6d9a7347dbd09bbed3e60d78ad09fcd7a43884d9cf97005ac099c95bac8ac\",0,\"lean_workbook_plus_82362\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029223.lean\",\"b5ee12622fec3e6e56eaba7d5b72bf51dc83cf495e5b9f13c38863b9c365bd85\",0,\"lean_workbook_plus_82391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149798,
+      "path": "data/train/p7c/goedel_workbook-001168-0000-213cc7229b88b7f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "213cc7229b88b7f3c50d8bd1a897507f9b2b4063064c20045a645f18f0abb7c8"
+    },
+    {
+      "bytes": 41562,
+      "path": "data/dev/p7c/goedel_workbook-001168-0000-a56397c4306b86af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a56397c4306b86af28d12d15d79fa6edaee82d90f007f4befdddbdfa083f5668"
+    },
+    {
+      "bytes": 36671,
+      "path": "data/internal_test/p7c/goedel_workbook-001168-0000-43e79ccbad095da0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "43e79ccbad095da0179a9c89dd175980d98874d9907e3985113098930fa771b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001169.json b/manifests/batches/goedel_workbook/001169.json
index 8732de0c8f5ae870781bc631c766b2b1ca54baed..140e3c0c0812081ad0073de68cf09e3ddd257a89 100644
--- a/manifests/batches/goedel_workbook/001169.json
+++ b/manifests/batches/goedel_workbook/001169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001169",
   "batch_fingerprint": "d11fab4368e7189f9837c55658b5689e62842aad96a9b7403ce68c2c3cdffc89",
   "evidence": {
@@ -109,22 +108,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001169-0000-80f1f0125f349468.parquet",
-      "sha256": "80f1f0125f3494682155db3a66e306577eabfe99b9022c9ab803eaaa7505f908",
-      "bytes": 194938,
-      "rows": 44,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001169-0000-b54cd9273b5de072.parquet",
-      "sha256": "b54cd9273b5de072ab971dba30523fb3da59c8933709efedaab431d1ab4f8e38",
-      "bytes": 37598,
-      "rows": 2,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82398",
     "goedel_workbook:lean_workbook_plus_82401",
@@ -168,5 +152,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029246.lean\",\"135fd327396f692dc5551a93a7e088a200a773c5098dc616882ed199b4f0fd1a\",0,\"lean_workbook_plus_82517\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029247.lean\",\"2fe9cbbf889a37ddde571327f3e0053659516ae8e1a759028a64ec66bdc3edb0\",0,\"lean_workbook_plus_82530\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029248.lean\",\"16cc6e1eaab3645084d0616cb57c360a331ac62d6c0102dc9e17d4805dc3f0f5\",0,\"lean_workbook_plus_82531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194938,
+      "path": "data/train/pd0/goedel_workbook-001169-0000-80f1f0125f349468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "80f1f0125f3494682155db3a66e306577eabfe99b9022c9ab803eaaa7505f908"
+    },
+    {
+      "bytes": 37598,
+      "path": "data/internal_test/pd0/goedel_workbook-001169-0000-b54cd9273b5de072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b54cd9273b5de072ab971dba30523fb3da59c8933709efedaab431d1ab4f8e38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001170.json b/manifests/batches/goedel_workbook/001170.json
index 3044e46a3404ff0f9ba4c003d26347231a1d404f..5c78aa176acbc8d05950c626c0067a4ee88b0136 100644
--- a/manifests/batches/goedel_workbook/001170.json
+++ b/manifests/batches/goedel_workbook/001170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001170",
   "batch_fingerprint": "ec2fa21b7307bfe2e71055915a5748e1f6fffd76614c8688015258e297efd9a6",
   "evidence": {
@@ -208,29 +207,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001170-0000-9538c491a003bdff.parquet",
-      "sha256": "9538c491a003bdff6ba6f60f49fcb48507a2a2ae244a687305b77d85045daac4",
-      "bytes": 159807,
-      "rows": 39,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001170-0000-1b8ba51120a1803e.parquet",
-      "sha256": "1b8ba51120a1803e6a6c871d128f1cdcda1d26d38d7f68b859131fb5f741dca2",
-      "bytes": 71648,
-      "rows": 9,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001170-0000-56230561cfebc57e.parquet",
-      "sha256": "56230561cfebc57e4e4f43f1beb08ad5ba261ae921a8275dde27c14cb9922924",
-      "bytes": 54012,
-      "rows": 5,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82547",
     "goedel_workbook:lean_workbook_plus_82549",
@@ -264,5 +241,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029269.lean\",\"6d0cf24e859a72fa874cb85e700f4875ccb4c99447e67ccc3b5bc0840f4766e6\",0,\"lean_workbook_plus_8263\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029270.lean\",\"f038fdc8028d590f62da9b450d9a392bcd972e9edee5ff0635cc6988eac6f17c\",0,\"lean_workbook_plus_82634\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029274.lean\",\"a591ce79c3bf1938815df59543506a01b74b62c2953b9242af8e6a2ecc2e26d0\",0,\"lean_workbook_plus_82656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159807,
+      "path": "data/train/pa3/goedel_workbook-001170-0000-9538c491a003bdff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "9538c491a003bdff6ba6f60f49fcb48507a2a2ae244a687305b77d85045daac4"
+    },
+    {
+      "bytes": 71648,
+      "path": "data/dev/pa3/goedel_workbook-001170-0000-1b8ba51120a1803e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1b8ba51120a1803e6a6c871d128f1cdcda1d26d38d7f68b859131fb5f741dca2"
+    },
+    {
+      "bytes": 54012,
+      "path": "data/internal_test/pa3/goedel_workbook-001170-0000-56230561cfebc57e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "56230561cfebc57e4e4f43f1beb08ad5ba261ae921a8275dde27c14cb9922924"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001171.json b/manifests/batches/goedel_workbook/001171.json
index 6d3a39ba09484622b965964929dffa9193e996be..7d6b08b9a45277cab63966f918924dff72e17d83 100644
--- a/manifests/batches/goedel_workbook/001171.json
+++ b/manifests/batches/goedel_workbook/001171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001171",
   "batch_fingerprint": "2692d655b399dce8cb57b44f746cb14b03beed2e5b9545c383eca80fbb14a3bb",
   "evidence": {
@@ -190,22 +189,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001171-0000-08d571cf6e570102.parquet",
-      "sha256": "08d571cf6e570102388413263e572b194c169548dfc5f246432afb23be8f0436",
-      "bytes": 163813,
-      "rows": 41,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001171-0000-776bbb21f1579eb7.parquet",
-      "sha256": "776bbb21f1579eb7fa91576993dc1b1a8aa2076b64804df1c9c96eb52bdab9eb",
-      "bytes": 45682,
-      "rows": 3,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82658",
     "goedel_workbook:lean_workbook_plus_82660",
@@ -241,5 +225,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029294.lean\",\"80d605ed27e829a5d986eeb9e30a76e68ea012ba3b7f19eb208ac281f766bb20\",0,\"lean_workbook_plus_82752\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029297.lean\",\"becd39ee69290ba2fbd25dcbe51173d52e3b8f589b14d67f3ea66df7ece3dff7\",0,\"lean_workbook_plus_82788\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029299.lean\",\"99b43e99c5b8fb6ecc9ca41f0ae19882e5de95a5821834b4fc96e143ce3880b1\",0,\"lean_workbook_plus_82796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163813,
+      "path": "data/train/pfe/goedel_workbook-001171-0000-08d571cf6e570102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "08d571cf6e570102388413263e572b194c169548dfc5f246432afb23be8f0436"
+    },
+    {
+      "bytes": 45682,
+      "path": "data/internal_test/pfe/goedel_workbook-001171-0000-776bbb21f1579eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "776bbb21f1579eb7fa91576993dc1b1a8aa2076b64804df1c9c96eb52bdab9eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001172.json b/manifests/batches/goedel_workbook/001172.json
index 8846a30192483f5de9fa0e29f67cb5c2c49ca422..a5e0202c2f4653d8e19f49597b33122c68be4c45 100644
--- a/manifests/batches/goedel_workbook/001172.json
+++ b/manifests/batches/goedel_workbook/001172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001172",
   "batch_fingerprint": "e8d44ec695298ba21716ef2ad788e672e79daa7c5f1e66ae8dbda224b9d162d1",
   "evidence": {
@@ -253,22 +252,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001172-0000-155d05a3aea0c5b5.parquet",
-      "sha256": "155d05a3aea0c5b5ead94a3f01ecf18354204b25c315d92fe75b05c7dec2c3f0",
-      "bytes": 98833,
-      "rows": 27,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001172-0000-30a5d367007ab112.parquet",
-      "sha256": "30a5d367007ab1123c0b207f3d7e64deb11c800992c17606ad0957fbd3efd79c",
-      "bytes": 33128,
-      "rows": 8,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_82802",
     "goedel_workbook:lean_workbook_plus_82803",
@@ -296,5 +280,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029321.lean\",\"f1130eab4f653e9a5f0f8a04ff3ccf050dd0152f6f14d014f1437f8b85ec250d\",0,\"lean_workbook_plus_8309\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029322.lean\",\"d2d38c6be825dbd89a31b80e046aac91d6eec2df53b4013cea617b05d1d32caa\",0,\"lean_workbook_plus_8312\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029324.lean\",\"28f0d28ca37b47dbd1c56eda7c4b1629d7bdd7564a2ed7c650c6ad60136ccc62\",0,\"lean_workbook_plus_8319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98833,
+      "path": "data/train/pe7/goedel_workbook-001172-0000-155d05a3aea0c5b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "155d05a3aea0c5b5ead94a3f01ecf18354204b25c315d92fe75b05c7dec2c3f0"
+    },
+    {
+      "bytes": 33128,
+      "path": "data/internal_test/pe7/goedel_workbook-001172-0000-30a5d367007ab112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "30a5d367007ab1123c0b207f3d7e64deb11c800992c17606ad0957fbd3efd79c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001173.json b/manifests/batches/goedel_workbook/001173.json
index d48730a5ab90b966deb8d01fc4aa9204e5b65b96..820f1ca8772eb41729ff34510e99c5a220997d43 100644
--- a/manifests/batches/goedel_workbook/001173.json
+++ b/manifests/batches/goedel_workbook/001173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001173",
   "batch_fingerprint": "6084b266d92b67604a5da7fff05db3e224acf567612a482141283f14adcc78f1",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001173-0000-65ea3f4c6ceabe4d.parquet",
-      "sha256": "65ea3f4c6ceabe4db2a25683f8e4db49b8e6a39cb372f146fdbe6a7b58633c6b",
-      "bytes": 156996,
-      "rows": 37,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001173-0000-cdd38b9c82a95ce5.parquet",
-      "sha256": "cdd38b9c82a95ce58ab3ca3250cd868149515ce5eea443178b27e4ab0c53cda1",
-      "bytes": 37990,
-      "rows": 2,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8327",
     "goedel_workbook:lean_workbook_plus_8333",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029346.lean\",\"052a7db347e3d721000e30533556168ef13a4b2508437a0808f155e6b988d862\",0,\"lean_workbook_plus_8392\"]",
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     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029349.lean\",\"079ec26458efedd71fc40e5891d9c6a2892b9aaf6093cd37920033759c00c65a\",0,\"lean_workbook_plus_8405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156996,
+      "path": "data/train/p39/goedel_workbook-001173-0000-65ea3f4c6ceabe4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "65ea3f4c6ceabe4db2a25683f8e4db49b8e6a39cb372f146fdbe6a7b58633c6b"
+    },
+    {
+      "bytes": 37990,
+      "path": "data/internal_test/p39/goedel_workbook-001173-0000-cdd38b9c82a95ce5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cdd38b9c82a95ce58ab3ca3250cd868149515ce5eea443178b27e4ab0c53cda1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001174.json b/manifests/batches/goedel_workbook/001174.json
index 77bb5def5f2bba3d1cdf7baea450b999a859407c..934404ebf94f93ed275346db2032f7be5f496bcc 100644
--- a/manifests/batches/goedel_workbook/001174.json
+++ b/manifests/batches/goedel_workbook/001174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001174",
   "batch_fingerprint": "f34032964f2ff8d8f50539783b622baa183c93e865f6a51abe487c9945054c7d",
   "evidence": {
@@ -145,29 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001174-0000-0ef6edd25de605b9.parquet",
-      "sha256": "0ef6edd25de605b9e3ac4caf2352c2ae95d6abf5ea06db16d7346bf2b0e6a239",
-      "bytes": 185754,
-      "rows": 34,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001174-0000-635950c31ae212ed.parquet",
-      "sha256": "635950c31ae212ed636f5c79fcb914a1bc728ea0e9f03a093acb976eb7d6e4db",
-      "bytes": 34008,
-      "rows": 2,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001174-0000-e6fcb69014cdf4aa.parquet",
-      "sha256": "e6fcb69014cdf4aaea34f0552948676547f06b414ba2524ac70083756c2cf241",
-      "bytes": 27997,
-      "rows": 1,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8407",
     "goedel_workbook:lean_workbook_plus_8411",
@@ -207,5 +184,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029372.lean\",\"6766e751f8d6cb03b12fb8a285f8365438d2d5194489c57865a781aedec675fe\",0,\"lean_workbook_plus_8504\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029373.lean\",\"d5c5f5fbeb4c46a3eeaef12be069b350faec2e450b72ae9df5f245e15d0879ee\",0,\"lean_workbook_plus_8507\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029374.lean\",\"f9dd91ed6e655b085fb486f12f3bd4a2726a9dc4e19c629f1c56691387a3c9f4\",0,\"lean_workbook_plus_8510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185754,
+      "path": "data/train/p29/goedel_workbook-001174-0000-0ef6edd25de605b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "0ef6edd25de605b9e3ac4caf2352c2ae95d6abf5ea06db16d7346bf2b0e6a239"
+    },
+    {
+      "bytes": 34008,
+      "path": "data/dev/p29/goedel_workbook-001174-0000-635950c31ae212ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "635950c31ae212ed636f5c79fcb914a1bc728ea0e9f03a093acb976eb7d6e4db"
+    },
+    {
+      "bytes": 27997,
+      "path": "data/internal_test/p29/goedel_workbook-001174-0000-e6fcb69014cdf4aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e6fcb69014cdf4aaea34f0552948676547f06b414ba2524ac70083756c2cf241"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001175.json b/manifests/batches/goedel_workbook/001175.json
index 7115c8e90a736e8e5e69b2620d439b629b033965..cd616c3b2ee766c9aeb8f53280a1d67395e3b955 100644
--- a/manifests/batches/goedel_workbook/001175.json
+++ b/manifests/batches/goedel_workbook/001175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001175",
   "batch_fingerprint": "756445a24e0ee17f06d3c1df04be8738961731635772623cba7d7f7702047a69",
   "evidence": {
@@ -91,29 +90,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001175-0000-c86a39abcf530767.parquet",
-      "sha256": "c86a39abcf530767d3d3509890aa36b47ba2b6590b8aaaa1838cb30032f7f30c",
-      "bytes": 157457,
-      "rows": 38,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001175-0000-c0ce8d6a4116716d.parquet",
-      "sha256": "c0ce8d6a4116716d6384e20786f50357fa8d660a00681c1ee58dd76aec0040fb",
-      "bytes": 111542,
-      "rows": 19,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001175-0000-c4ddb37333c9949d.parquet",
-      "sha256": "c4ddb37333c9949d6e6867615ab255a5e83d64e66103ac2a4cac3569a80f2286",
-      "bytes": 72243,
-      "rows": 14,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8520",
     "goedel_workbook:lean_workbook_plus_8521",
@@ -159,5 +136,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029397.lean\",\"389436b207730e8decac240e887efcd1081a0f1e5935b59fbae9312a9c85d795\",0,\"lean_workbook_plus_8600\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029398.lean\",\"ccf0e664a208b3aade1ff7ba7e20444b7827cb80bfebc2392aab25ce64744b1d\",0,\"lean_workbook_plus_8603\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029399.lean\",\"03c4391df089d72163b31174373cf472272a4614bfa9e8ab5d9cc469d979c14e\",0,\"lean_workbook_plus_8608\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157457,
+      "path": "data/train/p75/goedel_workbook-001175-0000-c86a39abcf530767.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "c86a39abcf530767d3d3509890aa36b47ba2b6590b8aaaa1838cb30032f7f30c"
+    },
+    {
+      "bytes": 111542,
+      "path": "data/dev/p75/goedel_workbook-001175-0000-c0ce8d6a4116716d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c0ce8d6a4116716d6384e20786f50357fa8d660a00681c1ee58dd76aec0040fb"
+    },
+    {
+      "bytes": 72243,
+      "path": "data/internal_test/p75/goedel_workbook-001175-0000-c4ddb37333c9949d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c4ddb37333c9949d6e6867615ab255a5e83d64e66103ac2a4cac3569a80f2286"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001176.json b/manifests/batches/goedel_workbook/001176.json
index 5e265e98159f5595a034b3a2a1c4ed8cb9d1c0a2..7a7dd943d3e8689a91bce0e4a90d918f8652e420 100644
--- a/manifests/batches/goedel_workbook/001176.json
+++ b/manifests/batches/goedel_workbook/001176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001176",
   "batch_fingerprint": "d8f1f35899ee374a53691c36ba493d0653b8dbd83ff3a6ba9559ce701334f111",
   "evidence": {
@@ -217,22 +216,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001176-0000-00af0e847e293898.parquet",
-      "sha256": "00af0e847e2938989472d90a8f012c190d94d54b556cc415d0f29dba24b557ee",
-      "bytes": 187389,
-      "rows": 38,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001176-0000-b87bae0af3fb0750.parquet",
-      "sha256": "b87bae0af3fb0750c27a0c5a4c99a6830d65f5bc5f3d848c6543c45fdbacff2b",
-      "bytes": 45135,
-      "rows": 4,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8612",
     "goedel_workbook:lean_workbook_plus_8633",
@@ -264,5 +248,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029419.lean\",\"96341b5ebd642862b01711de8d9bfd5b7e9d4b4e02a44625f496c5753a54767f\",0,\"lean_workbook_plus_8703\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029422.lean\",\"8583868f088300110e8811c38a081d1279b4acfc463083447138deedebf92a12\",0,\"lean_workbook_plus_8713\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029424.lean\",\"ec744c8f982d22345522e2f38332de9a9eab6ef66db7c5c5f84f5f1447d916f8\",0,\"lean_workbook_plus_8723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187389,
+      "path": "data/train/p71/goedel_workbook-001176-0000-00af0e847e293898.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "00af0e847e2938989472d90a8f012c190d94d54b556cc415d0f29dba24b557ee"
+    },
+    {
+      "bytes": 45135,
+      "path": "data/dev/p71/goedel_workbook-001176-0000-b87bae0af3fb0750.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b87bae0af3fb0750c27a0c5a4c99a6830d65f5bc5f3d848c6543c45fdbacff2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001177.json b/manifests/batches/goedel_workbook/001177.json
index 2a312ecea63ecc4c14ea9da09c5f9c45e102d89c..044183bc157692763dd02fe07aafbe8904db9955 100644
--- a/manifests/batches/goedel_workbook/001177.json
+++ b/manifests/batches/goedel_workbook/001177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001177",
   "batch_fingerprint": "426fb1b44624afec71945a0526d57361ded28064772bd82b1d93e4c4ca996fa5",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001177-0000-fd79854f586f3f12.parquet",
-      "sha256": "fd79854f586f3f12a1fa5faf17e682d786ed32653ae1d8fc8005e1566cc8d509",
-      "bytes": 178564,
-      "rows": 38,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001177-0000-7c25ab5441c1a4be.parquet",
-      "sha256": "7c25ab5441c1a4bee7e5527500ed50d059593d33fd11e70a708ee9030943e746",
-      "bytes": 31375,
-      "rows": 2,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8730",
     "goedel_workbook:lean_workbook_plus_8736",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029442.lean\",\"41e54e5f8b1ac8099edc844d568d8aae935ec62d466198a9dc844f4e49274031\",0,\"lean_workbook_plus_8777\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029443.lean\",\"4e9f70fe82ea028f9b9cfddda51aba8fd285d72f0114f2fa1cc44f39a2cfb5d1\",0,\"lean_workbook_plus_8779\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029448.lean\",\"7f8fd62f759546e76bc339ab9e140cfd120273298b91e6e7e0fa869d9c182e22\",0,\"lean_workbook_plus_8816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178564,
+      "path": "data/train/p26/goedel_workbook-001177-0000-fd79854f586f3f12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "fd79854f586f3f12a1fa5faf17e682d786ed32653ae1d8fc8005e1566cc8d509"
+    },
+    {
+      "bytes": 31375,
+      "path": "data/dev/p26/goedel_workbook-001177-0000-7c25ab5441c1a4be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7c25ab5441c1a4bee7e5527500ed50d059593d33fd11e70a708ee9030943e746"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001178.json b/manifests/batches/goedel_workbook/001178.json
index cb552d3e2ee6bfaf6afd692715a33f023bc672b9..92c68fd4dbd40c6c3115eb41db36ef70c648b09a 100644
--- a/manifests/batches/goedel_workbook/001178.json
+++ b/manifests/batches/goedel_workbook/001178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001178",
   "batch_fingerprint": "748f9bd7c89630954bce41a647228a55773bb331d6c199b904404b72dc939b33",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001178-0000-1b04ad4a4ad72ccf.parquet",
-      "sha256": "1b04ad4a4ad72ccfdc0335ad4a8a68bb5a8066e55b80a75d3ae5022dc59651e0",
-      "bytes": 121452,
-      "rows": 25,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001178-0000-9faceb1e5846a5da.parquet",
-      "sha256": "9faceb1e5846a5da945d78da865d012a0a263a008fd773346fdc409702117784",
-      "bytes": 35745,
-      "rows": 2,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8838",
     "goedel_workbook:lean_workbook_plus_8856",
@@ -305,5 +289,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029466.lean\",\"953cb5beb87c23c8f0c5743cc8664118a24685f43debea7e947c82d5f8878751\",0,\"lean_workbook_plus_8889\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029468.lean\",\"4c4388c62e73fe8629d4f6d6b2a2da53b654a6d7a6e3dc3b2a3a810143ee242e\",0,\"lean_workbook_plus_8892\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029471.lean\",\"604daba0ef4f52983d5c2ff777ca23d05fcd63c869c564ced96465286706aede\",0,\"lean_workbook_plus_890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121452,
+      "path": "data/train/p86/goedel_workbook-001178-0000-1b04ad4a4ad72ccf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1b04ad4a4ad72ccfdc0335ad4a8a68bb5a8066e55b80a75d3ae5022dc59651e0"
+    },
+    {
+      "bytes": 35745,
+      "path": "data/dev/p86/goedel_workbook-001178-0000-9faceb1e5846a5da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9faceb1e5846a5da945d78da865d012a0a263a008fd773346fdc409702117784"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001179.json b/manifests/batches/goedel_workbook/001179.json
index 239467e7663abac95593f27bceb59e7a6b0cd30d..642e06c7ba0b234fbc874c904247af655deedcac 100644
--- a/manifests/batches/goedel_workbook/001179.json
+++ b/manifests/batches/goedel_workbook/001179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001179",
   "batch_fingerprint": "e7c66900d901674924b6ccbb74cb5eb030a3fd4f136fbd6c62e7baeddfe2855d",
   "evidence": {
@@ -254,22 +253,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001179-0000-a401ec14eb6ebd23.parquet",
-      "sha256": "a401ec14eb6ebd23b12dda7f5d5196bb1971e51c2a878ff0cd617d1a34f6c0fb",
-      "bytes": 137861,
-      "rows": 21,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001179-0000-e048823b506d2c71.parquet",
-      "sha256": "e048823b506d2c710c3d6540651f902667bf25bb384f87159a673de0114eda70",
-      "bytes": 51023,
-      "rows": 3,
-      "revision": "77c91c8c44897b2023bb91eea53cc7570351a307"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8917",
     "goedel_workbook:lean_workbook_plus_8919",
@@ -297,5 +281,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029493.lean\",\"589938c91532a618429b68a195e9596719876f387b215a6794ab191776e826bc\",0,\"lean_workbook_plus_8975\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029498.lean\",\"d97763dcea48fe603b310262d3f84fc2af5ec04793777d7f0d571faeb9112258\",0,\"lean_workbook_plus_8986\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029499.lean\",\"b8a9f2cd7e87dde705e8f80b51de2eaf4553a0c96b745c6f7475181e1a730881\",0,\"lean_workbook_plus_8987\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137861,
+      "path": "data/train/p92/goedel_workbook-001179-0000-a401ec14eb6ebd23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a401ec14eb6ebd23b12dda7f5d5196bb1971e51c2a878ff0cd617d1a34f6c0fb"
+    },
+    {
+      "bytes": 51023,
+      "path": "data/internal_test/p92/goedel_workbook-001179-0000-e048823b506d2c71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e048823b506d2c710c3d6540651f902667bf25bb384f87159a673de0114eda70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001180.json b/manifests/batches/goedel_workbook/001180.json
index 2cdd430af57380d3f6dcd5ae16d557a966ec6538..d59f7d30560be70d92151adaeaf62046716ed1b8 100644
--- a/manifests/batches/goedel_workbook/001180.json
+++ b/manifests/batches/goedel_workbook/001180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001180",
   "batch_fingerprint": "c845a761c49dbafc2ad03e32391797b13f1fafeeaf8404733d185c0136221a3e",
   "evidence": {
@@ -120,29 +119,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001180-0000-7e4812a315044cb5.parquet",
-      "sha256": "7e4812a315044cb5ba46b029931c38c2c170b83b72adc5184347d8cc4caab825",
-      "bytes": 176396,
-      "rows": 34,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001180-0000-a7c22bdefe2697af.parquet",
-      "sha256": "a7c22bdefe2697af00733a3998c6fe31f7aed6200f1cb15786e17fac418c14f7",
-      "bytes": 137193,
-      "rows": 34,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001180-0000-1e58dae93190124d.parquet",
-      "sha256": "1e58dae93190124d1e33be1ea09ddab240e30bfbce0b88fefc1351e64aca0ef1",
-      "bytes": 54101,
-      "rows": 13,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_8999",
     "goedel_workbook:lean_workbook_plus_9007",
@@ -186,5 +163,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029521.lean\",\"9d80dbf00a139c4270d62c4129d8fdef7db7e86969aa7e2f47d9fccf7e1a0078\",0,\"lean_workbook_plus_9073\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029522.lean\",\"462b794d2f12edb177bda85bd8a4251d657ac7f41e5a84dcccdc8dadaa7b1bb8\",0,\"lean_workbook_plus_908\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029524.lean\",\"110ca1d608abe5ce7f203ec539f384a3e518cdc4c557a2d8d5cac05abc969a97\",0,\"lean_workbook_plus_9084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176396,
+      "path": "data/train/pef/goedel_workbook-001180-0000-7e4812a315044cb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "7e4812a315044cb5ba46b029931c38c2c170b83b72adc5184347d8cc4caab825"
+    },
+    {
+      "bytes": 137193,
+      "path": "data/dev/pef/goedel_workbook-001180-0000-a7c22bdefe2697af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "a7c22bdefe2697af00733a3998c6fe31f7aed6200f1cb15786e17fac418c14f7"
+    },
+    {
+      "bytes": 54101,
+      "path": "data/internal_test/pef/goedel_workbook-001180-0000-1e58dae93190124d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1e58dae93190124d1e33be1ea09ddab240e30bfbce0b88fefc1351e64aca0ef1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001181.json b/manifests/batches/goedel_workbook/001181.json
index e24cb802214a2797105fa403f38d158e2f0d2157..fc08cd2d0cb44aeddb05065e271277c4f355289e 100644
--- a/manifests/batches/goedel_workbook/001181.json
+++ b/manifests/batches/goedel_workbook/001181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001181",
   "batch_fingerprint": "317e2eebeb0007f27bdc2542d0c5dcc5306589e6ffea29157dd846e2112def8c",
   "evidence": {
@@ -163,29 +162,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001181-0000-d91c65a95f187ee4.parquet",
-      "sha256": "d91c65a95f187ee4233794d6e035c1381cdf95a7060e20e784c5725333a2ae23",
-      "bytes": 112873,
-      "rows": 29,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001181-0000-69042b2e91672c82.parquet",
-      "sha256": "69042b2e91672c82505b6d165503c15f586df96c03e9810a18dd00e0795475e2",
-      "bytes": 26500,
-      "rows": 1,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001181-0000-0ef4c06e8ea024e1.parquet",
-      "sha256": "0ef4c06e8ea024e192b82e320eec8785f93d58daacdf77c04e1e913eeb88ed6e",
-      "bytes": 60148,
-      "rows": 9,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9088",
     "goedel_workbook:lean_workbook_plus_910",
@@ -223,5 +200,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029547.lean\",\"493886acd4526673677dac2e928e818ca2626e6c69cfc048a11b952f223fda2a\",0,\"lean_workbook_plus_9177\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029548.lean\",\"9f88a9b930970fe0a243ae05d0dc34ed9aa1a8f30f78da2209881bf8e219c53d\",0,\"lean_workbook_plus_9183\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029549.lean\",\"5feeacdbc5d8dded74854cf5593bb37c551e7f326c2f78bb8e3e1ff05ceb89de\",0,\"lean_workbook_plus_9184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112873,
+      "path": "data/train/p32/goedel_workbook-001181-0000-d91c65a95f187ee4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d91c65a95f187ee4233794d6e035c1381cdf95a7060e20e784c5725333a2ae23"
+    },
+    {
+      "bytes": 26500,
+      "path": "data/dev/p32/goedel_workbook-001181-0000-69042b2e91672c82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "69042b2e91672c82505b6d165503c15f586df96c03e9810a18dd00e0795475e2"
+    },
+    {
+      "bytes": 60148,
+      "path": "data/internal_test/p32/goedel_workbook-001181-0000-0ef4c06e8ea024e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0ef4c06e8ea024e192b82e320eec8785f93d58daacdf77c04e1e913eeb88ed6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001182.json b/manifests/batches/goedel_workbook/001182.json
index 3b3c464147ce2ef63f2877bf5619bc49da650569..d1852608d06e42629b5362de961a97655dee5e41 100644
--- a/manifests/batches/goedel_workbook/001182.json
+++ b/manifests/batches/goedel_workbook/001182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001182",
   "batch_fingerprint": "a385c017eedcf70c6f865607373675f4b1b6a2bcdafdb5ec31a9a36482d4bb64",
   "evidence": {
@@ -271,15 +270,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001182-0000-14db044ee4858b59.parquet",
-      "sha256": "14db044ee4858b5939bb8d3918dc4ba9befa250e141268133d116077b7aacb31",
-      "bytes": 110350,
-      "rows": 32,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9202",
     "goedel_workbook:lean_workbook_plus_9230",
@@ -305,5 +296,14 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029571.lean\",\"54b0c7bdd100fbdeb278bbb7625de7f1d96c441bad61b7c59a30d46124d7c6a8\",0,\"lean_workbook_plus_9313\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029573.lean\",\"0c87022643af2581c995e00757f0963b7290efe1f4c1e6a7e18d0b1dbb00718d\",0,\"lean_workbook_plus_9321\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029574.lean\",\"53e195d5b6aa04d8e30682bf308456ed919d15f339982789e3bd25c85f89a10b\",0,\"lean_workbook_plus_9323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110350,
+      "path": "data/train/p1f/goedel_workbook-001182-0000-14db044ee4858b59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "14db044ee4858b5939bb8d3918dc4ba9befa250e141268133d116077b7aacb31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001183.json b/manifests/batches/goedel_workbook/001183.json
index 9b445a861fb441fbfa5b6a30177f360722a7dbdb..b205626d84c3ad5d7fcf54534accba5ea67a13c5 100644
--- a/manifests/batches/goedel_workbook/001183.json
+++ b/manifests/batches/goedel_workbook/001183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001183",
   "batch_fingerprint": "3ec9acf1d2b5e951e2bb4225b7b1f8acc6d58fd858a523e3c3b55e25ae7aec05",
   "evidence": {
@@ -236,22 +235,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001183-0000-8b708f134eb28b23.parquet",
-      "sha256": "8b708f134eb28b23dcf1ba7a8a36de61854b903752e3e1178256c1629f9bb74a",
-      "bytes": 103487,
-      "rows": 29,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001183-0000-051d1938db0c3fba.parquet",
-      "sha256": "051d1938db0c3fba937859d36476f44be969523e9f1e70c6f8088ea5ed254078",
-      "bytes": 55113,
-      "rows": 10,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9324",
     "goedel_workbook:lean_workbook_plus_9325",
@@ -281,5 +265,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029595.lean\",\"60f94b5ad4b217aa3397a2e4356250b6081da03823ddbf4baa764b5888ef7f7a\",0,\"lean_workbook_plus_9418\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029597.lean\",\"d938629ccc5677979479d94b17b6da8aeb7365c321269b26fdd3306166381527\",0,\"lean_workbook_plus_9423\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029599.lean\",\"657e4f7d5a84881c2b6a314fc9d6a409f9cc6d5f875f4d9b0037f06f92cc8778\",0,\"lean_workbook_plus_9438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103487,
+      "path": "data/train/p29/goedel_workbook-001183-0000-8b708f134eb28b23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "8b708f134eb28b23dcf1ba7a8a36de61854b903752e3e1178256c1629f9bb74a"
+    },
+    {
+      "bytes": 55113,
+      "path": "data/internal_test/p29/goedel_workbook-001183-0000-051d1938db0c3fba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "051d1938db0c3fba937859d36476f44be969523e9f1e70c6f8088ea5ed254078"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001184.json b/manifests/batches/goedel_workbook/001184.json
index 7abb8f3edde12f543420c3ae02c579ca767641a0..b305c2ae266ffaec924babc1b53e9b48b0bc7234 100644
--- a/manifests/batches/goedel_workbook/001184.json
+++ b/manifests/batches/goedel_workbook/001184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001184",
   "batch_fingerprint": "6b7f6b89a6fc521a406da0d974aff973c7a63ecbc49a7875056df5fd089d0e23",
   "evidence": {
@@ -145,22 +144,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001184-0000-5ac9a86b4eebcc49.parquet",
-      "sha256": "5ac9a86b4eebcc498acadb82a50e32d93f37b232b3d2d4e4f95522283c92e498",
-      "bytes": 201051,
-      "rows": 51,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001184-0000-fc5a2475fe013d2d.parquet",
-      "sha256": "fc5a2475fe013d2da125458932ffca0e9b0f4682d7845d0d871203162eede45c",
-      "bytes": 42598,
-      "rows": 4,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9439",
     "goedel_workbook:lean_workbook_plus_9455",
@@ -200,5 +184,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029621.lean\",\"8c16087455736ccd31fda45d93ac6484fe09bd49c536aa9922aa8b1e075ec152\",0,\"lean_workbook_plus_950\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029622.lean\",\"20df887535e66f2c40c0af5c0bdcabc4fa6a01c75c15a745a2b54ca00b1123d7\",0,\"lean_workbook_plus_9507\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029623.lean\",\"41940c58e3f0e2c31aabafb6174b5004d0dfaa5ba7b7a00166b20da88f0290f2\",0,\"lean_workbook_plus_9527\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201051,
+      "path": "data/train/p9d/goedel_workbook-001184-0000-5ac9a86b4eebcc49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "5ac9a86b4eebcc498acadb82a50e32d93f37b232b3d2d4e4f95522283c92e498"
+    },
+    {
+      "bytes": 42598,
+      "path": "data/dev/p9d/goedel_workbook-001184-0000-fc5a2475fe013d2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fc5a2475fe013d2da125458932ffca0e9b0f4682d7845d0d871203162eede45c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001185.json b/manifests/batches/goedel_workbook/001185.json
index 9ea26efad1f75b7597a47e0e84dd641644d4e04e..a7109e52179c81f1c4e58230cf55a916c47befb4 100644
--- a/manifests/batches/goedel_workbook/001185.json
+++ b/manifests/batches/goedel_workbook/001185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001185",
   "batch_fingerprint": "8bd73e879370ea3e6198e1ce56e069693059e32ad6736e8dcd06b53225e6187b",
   "evidence": {
@@ -181,22 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001185-0000-b95cbf422b131302.parquet",
-      "sha256": "b95cbf422b131302903920562c2713705c53a36094665d70a624baba8cd80691",
-      "bytes": 104260,
-      "rows": 29,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001185-0000-a28b8de8294e6643.parquet",
-      "sha256": "a28b8de8294e6643056117587f57ab439bc9b2fee6e25656d9b13ccb0629657d",
-      "bytes": 36583,
-      "rows": 1,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9534",
     "goedel_workbook:lean_workbook_plus_9542",
@@ -232,5 +216,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029647.lean\",\"ed304558b4dda8ac9813c1482497931a488ba2a8c51dfe83b9a2bdbda08a8d36\",0,\"lean_workbook_plus_9622\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029648.lean\",\"ae052b102c46573e5df02220bc134d6305f4467c7c1b2c2c67218b3814a13579\",0,\"lean_workbook_plus_9626\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029649.lean\",\"caf099c63e255170acaa91ee03d1ca70cb758c0cb503f226a531b4c6589a2879\",0,\"lean_workbook_plus_963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104260,
+      "path": "data/train/pb1/goedel_workbook-001185-0000-b95cbf422b131302.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b95cbf422b131302903920562c2713705c53a36094665d70a624baba8cd80691"
+    },
+    {
+      "bytes": 36583,
+      "path": "data/internal_test/pb1/goedel_workbook-001185-0000-a28b8de8294e6643.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a28b8de8294e6643056117587f57ab439bc9b2fee6e25656d9b13ccb0629657d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001186.json b/manifests/batches/goedel_workbook/001186.json
index 6378087f75ce8af9aa654c71a2e8a474ef3db668..1b11a63c2f6cd672de6884ac77090e362e574e11 100644
--- a/manifests/batches/goedel_workbook/001186.json
+++ b/manifests/batches/goedel_workbook/001186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001186",
   "batch_fingerprint": "88f87ee4cd750b73c8c37cffa2cf6f07d8b6b95af83609b8a7ac14716db69a83",
   "evidence": {
@@ -199,22 +198,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001186-0000-82b4923541a8f9eb.parquet",
-      "sha256": "82b4923541a8f9eb1924bcc9118e119ee51a3f77054e02b06b3d8610fef37955",
-      "bytes": 149644,
-      "rows": 39,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001186-0000-b67c818306afeb18.parquet",
-      "sha256": "b67c818306afeb181e808a3b4f3e5589711d94ae24d153372b249f199ee502b1",
-      "bytes": 55180,
-      "rows": 9,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9640",
     "goedel_workbook:lean_workbook_plus_9645",
@@ -248,5 +232,21 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029672.lean\",\"ad9f6d6f34970637ebc649c826b69f23a2a5f868721fa2cef9384d246d9c873e\",0,\"lean_workbook_plus_9753\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029673.lean\",\"8bdf5fe7c33fbace4f09442bd9d34f22f69d8699d6758e892cbaf4b993993a28\",0,\"lean_workbook_plus_9757\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029674.lean\",\"bf258c0253f930d28fc5a25aa92fc1d7aef8264d53e6080b5dbe4b0eae7ec4c7\",0,\"lean_workbook_plus_9762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149644,
+      "path": "data/train/p1c/goedel_workbook-001186-0000-82b4923541a8f9eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "82b4923541a8f9eb1924bcc9118e119ee51a3f77054e02b06b3d8610fef37955"
+    },
+    {
+      "bytes": 55180,
+      "path": "data/internal_test/p1c/goedel_workbook-001186-0000-b67c818306afeb18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b67c818306afeb181e808a3b4f3e5589711d94ae24d153372b249f199ee502b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001187.json b/manifests/batches/goedel_workbook/001187.json
index 86a31341d3b3de8621e0362b154053cd391437c4..c42b0a482e1543ddd9d6af90ebf798b041fa9835 100644
--- a/manifests/batches/goedel_workbook/001187.json
+++ b/manifests/batches/goedel_workbook/001187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001187",
   "batch_fingerprint": "219446f46fedd7ca9fb7c235dc8820e74617094df762d26a1468d0181a900036",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001187-0000-0a17d0ae234e1c58.parquet",
-      "sha256": "0a17d0ae234e1c58ea3d1312243c0b5bfffc5dc9751db9191662df93f9034c49",
-      "bytes": 159041,
-      "rows": 36,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001187-0000-dca1d1ffce8986f6.parquet",
-      "sha256": "dca1d1ffce8986f656db7e8b1dd47d95e645074f42afcda0ab4849102cf03225",
-      "bytes": 34730,
-      "rows": 1,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001187-0000-cea31d7da16c1715.parquet",
-      "sha256": "cea31d7da16c17150fdda5503e6a2925d076e45abbc03b08cd956b1b79b17e90",
-      "bytes": 74093,
-      "rows": 15,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9788",
     "goedel_workbook:lean_workbook_plus_9793",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029696.lean\",\"d19e93dd56eb123349792863b4eedd2cb08c5418bcb385a80e5565af9afa2055\",0,\"lean_workbook_plus_9863\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029697.lean\",\"f5050b84e61e92abf23cc821b82f5a88f13161a8ab010ff5366e85ac9fe8852f\",0,\"lean_workbook_plus_9866\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029699.lean\",\"605d717168c8d538e90585374a73ec4185cdbb619041dee4894053be0aa296eb\",0,\"lean_workbook_plus_9879\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159041,
+      "path": "data/train/p7c/goedel_workbook-001187-0000-0a17d0ae234e1c58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "0a17d0ae234e1c58ea3d1312243c0b5bfffc5dc9751db9191662df93f9034c49"
+    },
+    {
+      "bytes": 34730,
+      "path": "data/dev/p7c/goedel_workbook-001187-0000-dca1d1ffce8986f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dca1d1ffce8986f656db7e8b1dd47d95e645074f42afcda0ab4849102cf03225"
+    },
+    {
+      "bytes": 74093,
+      "path": "data/internal_test/p7c/goedel_workbook-001187-0000-cea31d7da16c1715.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "cea31d7da16c17150fdda5503e6a2925d076e45abbc03b08cd956b1b79b17e90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001188.json b/manifests/batches/goedel_workbook/001188.json
index 39b3f375b9b3608c194cb2368026e0f2ff95e674..c0ef69f19131498c32d548d54b16e32d160f4aad 100644
--- a/manifests/batches/goedel_workbook/001188.json
+++ b/manifests/batches/goedel_workbook/001188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001188",
   "batch_fingerprint": "24222346f8cdd73ffe4c24629ec0c4e8e52fd46086722f8b5cf410ef7960b810",
   "evidence": {
@@ -181,29 +180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001188-0000-e0004ceb0a6d0acc.parquet",
-      "sha256": "e0004ceb0a6d0acc6476e40a6fb343e17f318e68fa41e65780778259ec1c8d30",
-      "bytes": 145326,
-      "rows": 34,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/dev/goedel_workbook-001188-0000-72ff29cd9788423a.parquet",
-      "sha256": "72ff29cd9788423a2c514fdb60eba373ddfa7f251dbe512382e9939750434166",
-      "bytes": 42711,
-      "rows": 3,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/goedel_workbook-001188-0000-b6b6b24144ae0571.parquet",
-      "sha256": "b6b6b24144ae0571a14464b3ead12ea1763b4bb43b4d6ad1719c3a7b18c767c7",
-      "bytes": 46448,
-      "rows": 8,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9895",
     "goedel_workbook:lean_workbook_plus_99",
@@ -239,5 +216,28 @@
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029720.lean\",\"a257ac2c6d5c6fd8a0617e78e7cc49474b1e92b77cc2cb852296a3d67d4700b6\",0,\"lean_workbook_plus_9970\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029722.lean\",\"08b19ec2f08439cc88bab197d8a7fca0aa8452082554d694c52fa98e52b85044\",0,\"lean_workbook_plus_9978\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029724.lean\",\"edeb3700e315a5ebce48f358147eeb28a22350527a6186fce915b3602a5466d5\",0,\"lean_workbook_plus_9980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145326,
+      "path": "data/train/p50/goedel_workbook-001188-0000-e0004ceb0a6d0acc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e0004ceb0a6d0acc6476e40a6fb343e17f318e68fa41e65780778259ec1c8d30"
+    },
+    {
+      "bytes": 42711,
+      "path": "data/dev/p50/goedel_workbook-001188-0000-72ff29cd9788423a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "72ff29cd9788423a2c514fdb60eba373ddfa7f251dbe512382e9939750434166"
+    },
+    {
+      "bytes": 46448,
+      "path": "data/internal_test/p50/goedel_workbook-001188-0000-b6b6b24144ae0571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b6b6b24144ae0571a14464b3ead12ea1763b4bb43b4d6ad1719c3a7b18c767c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/goedel_workbook/001189.json b/manifests/batches/goedel_workbook/001189.json
index 6efe5211c27768e83851a06fbaaa42d78575a7db..9d9d70a8d22ea3a43ccb780e43067c1a83778e33 100644
--- a/manifests/batches/goedel_workbook/001189.json
+++ b/manifests/batches/goedel_workbook/001189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "goedel_workbook/001189",
   "batch_fingerprint": "2846cfb5348eaeb41881e97236693175f8b34f1b7d6ce8dfa257a0160efd424e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/goedel_workbook-001189-0000-5b200c9f334748fa.parquet",
-      "sha256": "5b200c9f334748fa734c7c846e2386a0bedfa58d633dcae1b8985281fc431d61",
-      "bytes": 44357,
-      "rows": 4,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "goedel_workbook:lean_workbook_plus_9981",
     "goedel_workbook:lean_workbook_plus_9989"
@@ -34,5 +25,14 @@
   "proof_keys": [
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029725.lean\",\"988ccef5459dff8ff4dd794497b7dcc70f6e83dba8e55941625c571d9757ffb2\",0,\"lean_workbook_plus_9981\"]",
     "[\"goedel_workbook\",\"b731852af8d8ab11498fda27bce9020738c01c59\",\"Full/Proof_029726.lean\",\"1f2885009bbc6a4e59dde627dd5846d4de47235c0db0cd9bce8190b47fc8706c\",0,\"lean_workbook_plus_9989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44357,
+      "path": "data/train/p40/goedel_workbook-001189-0000-5b200c9f334748fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5b200c9f334748fa734c7c846e2386a0bedfa58d633dcae1b8985281fc431d61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000024.json b/manifests/batches/mathlib/000024.json
index af7e3b52f6e4399ce4d24b60d8da2251dc7abe37..bf57db532d09b1f54aba7df0ba0f5a80bae51a03 100644
--- a/manifests/batches/mathlib/000024.json
+++ b/manifests/batches/mathlib/000024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000024",
   "batch_fingerprint": "fb25b261bb3d2483571137dc625fc71d5926178fc5019edd381cb60c2a7900d9",
   "evidence": {
@@ -1584,29 +1583,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000024-0000-3fdff373d683e328.parquet",
-      "sha256": "3fdff373d683e328dbc0479716f6b01f5cfcde53ce82f319ba9d4c1f303dde08",
-      "bytes": 146662,
-      "rows": 46,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/mathlib-000024-0000-7b1ade656dbe955c.parquet",
-      "sha256": "7b1ade656dbe955c917e0a0b0ebe6e833e02c160d7a905d1b2dc827dd53bacde",
-      "bytes": 37823,
-      "rows": 2,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000024-0000-07e9609d320638a9.parquet",
-      "sha256": "07e9609d320638a957f49ed5317e438f7b77ba9c7625fe86e75127d7bbcf797a",
-      "bytes": 58802,
-      "rows": 7,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddConstMapClass.map_add_int",
     "mathlib:AddConstMapClass.map_add_int'",
@@ -1708,5 +1685,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AddTorsor.lean\",null,null,\"vsub_sub_vsub_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AddTorsor.lean\",null,null,\"vsub_vadd_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AddTorsor.lean\",null,null,\"vsub_vadd_eq_vsub_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146662,
+      "path": "data/train/pee/mathlib-000024-0000-3fdff373d683e328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "3fdff373d683e328dbc0479716f6b01f5cfcde53ce82f319ba9d4c1f303dde08"
+    },
+    {
+      "bytes": 37823,
+      "path": "data/dev/pee/mathlib-000024-0000-7b1ade656dbe955c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7b1ade656dbe955c917e0a0b0ebe6e833e02c160d7a905d1b2dc827dd53bacde"
+    },
+    {
+      "bytes": 58802,
+      "path": "data/internal_test/pee/mathlib-000024-0000-07e9609d320638a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "07e9609d320638a957f49ed5317e438f7b77ba9c7625fe86e75127d7bbcf797a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000025.json b/manifests/batches/mathlib/000025.json
index 1456546679e6cd981ed65885b7657eb0f00337fe..a13d0cf2a75361695ecd1b083d9310641fe6d52a 100644
--- a/manifests/batches/mathlib/000025.json
+++ b/manifests/batches/mathlib/000025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000025",
   "batch_fingerprint": "11aba9e64cf3e83ae436d2e2fe852c087af9564563dbe0cd2353adbc67e00d3b",
   "evidence": {
@@ -1062,22 +1061,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000025-0000-22730c5a2059e5a9.parquet",
-      "sha256": "22730c5a2059e5a9901da769bf10e4f85dd2f6a6875883362957c70eae7fd60e",
-      "bytes": 175100,
-      "rows": 34,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/mathlib-000025-0000-e948ff7df80481b9.parquet",
-      "sha256": "e948ff7df80481b9e6819e4867478113fb04b3f0720111690bab952bab0e0c76",
-      "bytes": 38108,
-      "rows": 1,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.lmul_injective",
     "mathlib:Algebra.lmul_isUnit_iff",
@@ -1119,5 +1103,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Bilinear.lean\",null,null,\"LinearMap.mul_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Bilinear.lean\",null,null,\"LinearMap.pow_mulLeft\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Bilinear.lean\",null,null,\"LinearMap.pow_mulRight\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175100,
+      "path": "data/train/paa/mathlib-000025-0000-22730c5a2059e5a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "22730c5a2059e5a9901da769bf10e4f85dd2f6a6875883362957c70eae7fd60e"
+    },
+    {
+      "bytes": 38108,
+      "path": "data/dev/paa/mathlib-000025-0000-e948ff7df80481b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e948ff7df80481b9e6819e4867478113fb04b3f0720111690bab952bab0e0c76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000026.json b/manifests/batches/mathlib/000026.json
index 3ea56b1e5b086b331d426777b6875afd1b7de413..c153bfd073d7b099225c4b0021183c692b0ae1a9 100644
--- a/manifests/batches/mathlib/000026.json
+++ b/manifests/batches/mathlib/000026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000026",
   "batch_fingerprint": "adf59e213f2544de979b41b5973a3319cada6cec522e33d0dfbc187d981d5aa3",
   "evidence": {
@@ -2405,29 +2404,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000026-0000-c8765e8a16f41342.parquet",
-      "sha256": "c8765e8a16f41342de377a1d1c29b8f16f499c2af5c1938b49042ae86025d32a",
-      "bytes": 107754,
-      "rows": 20,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/mathlib-000026-0000-06f545d7f11b11d4.parquet",
-      "sha256": "06f545d7f11b11d4c1f4207c3de71fa941008fd9700cc68e85bf573f331f0b69",
-      "bytes": 43475,
-      "rows": 1,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000026-0000-52173655a573c857.parquet",
-      "sha256": "52173655a573c8570a6921d76122dd39fd7bea5e8c3d7b887bb55438b1e4d207",
-      "bytes": 61172,
-      "rows": 4,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgEquiv.algebraMap_eq_apply",
     "mathlib:AlgEquiv.arrowCongr_refl",
@@ -2461,5 +2438,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Equiv.lean\",null,null,\"AlgEquiv.symm_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Equiv.lean\",null,null,\"AlgEquiv.symm_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Equiv.lean\",null,null,\"AlgEquiv.toLinearEquiv_ofLinearEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107754,
+      "path": "data/train/pbd/mathlib-000026-0000-c8765e8a16f41342.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c8765e8a16f41342de377a1d1c29b8f16f499c2af5c1938b49042ae86025d32a"
+    },
+    {
+      "bytes": 43475,
+      "path": "data/dev/pbd/mathlib-000026-0000-06f545d7f11b11d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "06f545d7f11b11d4c1f4207c3de71fa941008fd9700cc68e85bf573f331f0b69"
+    },
+    {
+      "bytes": 61172,
+      "path": "data/internal_test/pbd/mathlib-000026-0000-52173655a573c857.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "52173655a573c8570a6921d76122dd39fd7bea5e8c3d7b887bb55438b1e4d207"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000027.json b/manifests/batches/mathlib/000027.json
index 429776000d8ef240efb56aa6594d1ea31c913414..e2a084b1a601096df56a4b6296e57a5f846888a7 100644
--- a/manifests/batches/mathlib/000027.json
+++ b/manifests/batches/mathlib/000027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000027",
   "batch_fingerprint": "cc834d5d66a1c8463ed9bd817cf16aa5b42e6660d01754c7e14dc4119165e084",
   "evidence": {
@@ -2020,15 +2019,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000027-0000-71dc748972b07afc.parquet",
-      "sha256": "71dc748972b07afc99e2dc0af314f1c3db6d6ae90d399c9e07a8745d9ef12b18",
-      "bytes": 106648,
-      "rows": 17,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.ofLinearMap_toLinearMap",
     "mathlib:AlgHom.toLinearMap_ofLinearMap",
@@ -2054,5 +2045,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/NonUnitalHom.lean\",null,null,\"NonUnitalAlgHom.snd_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/NonUnitalHom.lean\",null,null,\"NonUnitalAlgHom.to_distribMulActionHom_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/NonUnitalHom.lean\",null,null,\"NonUnitalAlgHom.to_mulHom_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106648,
+      "path": "data/train/pd6/mathlib-000027-0000-71dc748972b07afc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "71dc748972b07afc99e2dc0af314f1c3db6d6ae90d399c9e07a8745d9ef12b18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000028.json b/manifests/batches/mathlib/000028.json
index ff676d6341d0cac282b87809b25a574a3ff33ca7..f8abd6645e51dcb1a061a4ded4b208a1bf9027c5 100644
--- a/manifests/batches/mathlib/000028.json
+++ b/manifests/batches/mathlib/000028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000028",
   "batch_fingerprint": "8c9c2f4b879e0c27d3c33dcd2c004f4c95d8c9cb4e89b1e0ec491d667bc10833",
   "evidence": {
@@ -5260,29 +5259,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000028-0000-503121cbd9e1a0e1.parquet",
-      "sha256": "503121cbd9e1a0e10cc20d48b7069927a3dcfd93255c1dc028f4aaf3fb56819e",
-      "bytes": 209215,
-      "rows": 46,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/dev/mathlib-000028-0000-5831b41a58dca811.parquet",
-      "sha256": "5831b41a58dca8113a90aa9d02991f941137e8dda613f5111913353e5b0d1dde",
-      "bytes": 43965,
-      "rows": 1,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000028-0000-16bdc8344c30a6d5.parquet",
-      "sha256": "16bdc8344c30a6d5ea3e14100c1682deff1acc6e41152ae78c18ae4083f66d60",
-      "bytes": 46542,
-      "rows": 2,
-      "revision": "8e7f6409bf82885cc1a9a2fb0d26f5379cdbd04f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SubMulAction.mem_one'",
     "mathlib:Submodule.comap_op_mul",
@@ -5342,5 +5319,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Operations.lean\",null,null,\"Submodule.pow_eq_span_pow_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Operations.lean\",null,null,\"Submodule.prod_span_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Operations.lean\",null,null,\"Submodule.singleton_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209215,
+      "path": "data/train/p7a/mathlib-000028-0000-503121cbd9e1a0e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "503121cbd9e1a0e10cc20d48b7069927a3dcfd93255c1dc028f4aaf3fb56819e"
+    },
+    {
+      "bytes": 43965,
+      "path": "data/dev/p7a/mathlib-000028-0000-5831b41a58dca811.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5831b41a58dca8113a90aa9d02991f941137e8dda613f5111913353e5b0d1dde"
+    },
+    {
+      "bytes": 46542,
+      "path": "data/internal_test/p7a/mathlib-000028-0000-16bdc8344c30a6d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "16bdc8344c30a6d5ea3e14100c1682deff1acc6e41152ae78c18ae4083f66d60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000029.json b/manifests/batches/mathlib/000029.json
index f81053ff2e37353433dc28937ac84ce2887074fa..ed04928645b26d7f68cca63043eb7fbdaf98b4b9 100644
--- a/manifests/batches/mathlib/000029.json
+++ b/manifests/batches/mathlib/000029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000029",
   "batch_fingerprint": "3bb33aca8de31230c2fb204c12a818f9621adc234ce4a49ea244aee37fa85072",
   "evidence": {
@@ -481,7 +480,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000030.json b/manifests/batches/mathlib/000030.json
index 014f6525c17a7049a5a6537a9908ee4aa29e3b30..1c45b2802792b0aefa30dd7b57e414542a3f4932 100644
--- a/manifests/batches/mathlib/000030.json
+++ b/manifests/batches/mathlib/000030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000030",
   "batch_fingerprint": "cdfd31c50ea498a9654eb0285ccdab493524c1a76ceaeeea65be17127186a411",
   "evidence": {
@@ -2082,15 +2081,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000030-0000-65e1ef5a8c40c8a1.parquet",
-      "sha256": "65e1ef5a8c40c8a1a291fdcf2c06bcbb0701c74433f043129e4a98a01d308c3d",
-      "bytes": 46585,
-      "rows": 4,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.fst_prod",
     "mathlib:AlgHom.snd_prod"
@@ -2098,5 +2089,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Prod.lean\",null,null,\"AlgHom.fst_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Prod.lean\",null,null,\"AlgHom.snd_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46585,
+      "path": "data/train/p3d/mathlib-000030-0000-65e1ef5a8c40c8a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "65e1ef5a8c40c8a1a291fdcf2c06bcbb0701c74433f043129e4a98a01d308c3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000031.json b/manifests/batches/mathlib/000031.json
index 5c3a946e020226b90db134eef06628e11b7d9f7e..8bdd74ccc9d57b894f111bdd7ca11e2f25fc759a 100644
--- a/manifests/batches/mathlib/000031.json
+++ b/manifests/batches/mathlib/000031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000031",
   "batch_fingerprint": "02d7bf5ea71ac0b345db5f673f560080d0d49574d0f285393b8d5e2bc467cc6c",
   "evidence": {
@@ -1265,29 +1264,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000031-0000-3ea410ac32b92b48.parquet",
-      "sha256": "3ea410ac32b92b48fb5259d445035709523fd528bc84212f021357f25ffb4783",
-      "bytes": 95235,
-      "rows": 26,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/mathlib-000031-0000-4f8f75f1dbf11481.parquet",
-      "sha256": "4f8f75f1dbf11481f590b154bddd3f4b2b86da11aafaa132bee4e70875c48157",
-      "bytes": 42318,
-      "rows": 2,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/mathlib-000031-0000-50d2cda5988c697f.parquet",
-      "sha256": "50d2cda5988c697f00e70ebc3116484c5a90d7e34786b7de98946b608a822397",
-      "bytes": 37090,
-      "rows": 2,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgEquiv.spectrum_eq",
     "mathlib:AlgHom.mem_resolventSet_apply",
@@ -1339,5 +1316,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Spectrum.lean\",null,null,\"spectrum.zero_mem_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Spectrum.lean\",null,null,\"spectrum.zero_mem_resolventSet_of_unit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Spectrum.lean\",null,null,\"spectrum.zero_not_mem_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95235,
+      "path": "data/train/p1d/mathlib-000031-0000-3ea410ac32b92b48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "3ea410ac32b92b48fb5259d445035709523fd528bc84212f021357f25ffb4783"
+    },
+    {
+      "bytes": 42318,
+      "path": "data/dev/p1d/mathlib-000031-0000-4f8f75f1dbf11481.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f8f75f1dbf11481f590b154bddd3f4b2b86da11aafaa132bee4e70875c48157"
+    },
+    {
+      "bytes": 37090,
+      "path": "data/internal_test/p1d/mathlib-000031-0000-50d2cda5988c697f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "50d2cda5988c697f00e70ebc3116484c5a90d7e34786b7de98946b608a822397"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000032.json b/manifests/batches/mathlib/000032.json
index 21abd4979f3694c743c8c800e1ee72eaae853ed2..3dafbf768cea30a626e6c6d1c63561a3493add10 100644
--- a/manifests/batches/mathlib/000032.json
+++ b/manifests/batches/mathlib/000032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000032",
   "batch_fingerprint": "891154ad41a13bf7cae42a5cb76f69b9e8d680d1ec44393166ae601f89993184",
   "evidence": {
@@ -3104,22 +3103,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000032-0000-b279e03a42b4ccbc.parquet",
-      "sha256": "b279e03a42b4ccbc5382827bd40f0550c2a21f67c43cbdb8e5e2ac0bbcde2c60",
-      "bytes": 82394,
-      "rows": 21,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/mathlib-000032-0000-8d355e259f11b13f.parquet",
-      "sha256": "8d355e259f11b13fd78a23162ae7b7f790cec921c290166a18955aed1bc29c5b",
-      "bytes": 37437,
-      "rows": 1,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.coe_range",
     "mathlib:Algebra.coe_iInf",
@@ -3155,5 +3139,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Basic.lean\",null,null,\"Subalgebra.toSubring_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Basic.lean\",null,null,\"Subalgebra.toSubsemiring_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Basic.lean\",null,null,\"Submodule.toSubalgebra_mk\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82394,
+      "path": "data/train/pb1/mathlib-000032-0000-b279e03a42b4ccbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b279e03a42b4ccbc5382827bd40f0550c2a21f67c43cbdb8e5e2ac0bbcde2c60"
+    },
+    {
+      "bytes": 37437,
+      "path": "data/dev/pb1/mathlib-000032-0000-8d355e259f11b13f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8d355e259f11b13fd78a23162ae7b7f790cec921c290166a18955aed1bc29c5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000033.json b/manifests/batches/mathlib/000033.json
index 59d6fc3ffc0f0d7d523a0dba4dc7724c3a8553c1..b07bd4bb0bc8e0731dfe6d7d66b69aa0dcbf2b06 100644
--- a/manifests/batches/mathlib/000033.json
+++ b/manifests/batches/mathlib/000033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000033",
   "batch_fingerprint": "a78d1e8417063d725bb526ed95613a1a8211db41e4a8752d1fa0abe86161f741",
   "evidence": {
@@ -917,15 +916,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000033-0000-bfb25f3e8866e986.parquet",
-      "sha256": "bfb25f3e8866e986df4899d93899cb3bc7f9eceee93a00eedd9b56a7e83b9123",
-      "bytes": 60799,
-      "rows": 10,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subalgebra.op_adjoin",
     "mathlib:Subalgebra.unop_adjoin"
@@ -933,5 +924,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/MulOpposite.lean\",null,null,\"Subalgebra.op_adjoin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/MulOpposite.lean\",null,null,\"Subalgebra.unop_adjoin\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60799,
+      "path": "data/train/pbc/mathlib-000033-0000-bfb25f3e8866e986.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bfb25f3e8866e986df4899d93899cb3bc7f9eceee93a00eedd9b56a7e83b9123"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000034.json b/manifests/batches/mathlib/000034.json
index 6badff2c01544d3acabee3b7ee1bdbd54dbf7dd8..a4db619950a4038e6b5e5f41b44deefb2e6692a4 100644
--- a/manifests/batches/mathlib/000034.json
+++ b/manifests/batches/mathlib/000034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000034",
   "batch_fingerprint": "5243f48a89d26b5eafe5a4b0100d7eddc425d2b9775617e085fec58bdfc073ff",
   "evidence": {
@@ -451,15 +450,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000034-0000-275ae435f19bd0dd.parquet",
-      "sha256": "275ae435f19bd0ddb1e4a1433590b2a6dbaf947c713b472474db674b78fc0233",
-      "bytes": 58167,
-      "rows": 6,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subalgebra.mul_toSubmodule_le",
     "mathlib:Subalgebra.prod_top"
@@ -467,5 +458,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean\",null,null,\"Subalgebra.mul_toSubmodule_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Prod.lean\",null,null,\"Subalgebra.prod_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58167,
+      "path": "data/train/pf8/mathlib-000034-0000-275ae435f19bd0dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "275ae435f19bd0ddb1e4a1433590b2a6dbaf947c713b472474db674b78fc0233"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000035.json b/manifests/batches/mathlib/000035.json
index 873fcacaa0230496cb570620574c08e3dba2dea9..de19215b8f0d9ee1c2d9cf9fbc008e3d83f3f72a 100644
--- a/manifests/batches/mathlib/000035.json
+++ b/manifests/batches/mathlib/000035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000035",
   "batch_fingerprint": "32dce45a0cbe7e75adad8633586c5f37eb17d88d377e45110a7e523720b9f5c5",
   "evidence": {
@@ -331,22 +330,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000035-0000-ef5b52f29c3e225e.parquet",
-      "sha256": "ef5b52f29c3e225e76dd7db347b514a06c0a9baa9de8c240169619bf3b7cdf46",
-      "bytes": 85240,
-      "rows": 7,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/mathlib-000035-0000-05cfd0648d4822f9.parquet",
-      "sha256": "05cfd0648d4822f9836617f63279836f231bb90a2d37a26814d3af8b77db0abb",
-      "bytes": 46517,
-      "rows": 1,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subalgebra.finrank_sup_eq_finrank_left_mul_finrank_of_free",
     "mathlib:Subalgebra.finrank_sup_eq_finrank_right_mul_finrank_of_free",
@@ -362,5 +346,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Tower.lean\",null,null,\"Subalgebra.range_isScalarTower_toAlgHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Tower.lean\",null,null,\"Subalgebra.restrictScalars_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Subalgebra/Tower.lean\",null,null,\"Subalgebra.restrictScalars_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85240,
+      "path": "data/train/pdd/mathlib-000035-0000-ef5b52f29c3e225e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ef5b52f29c3e225e76dd7db347b514a06c0a9baa9de8c240169619bf3b7cdf46"
+    },
+    {
+      "bytes": 46517,
+      "path": "data/internal_test/pdd/mathlib-000035-0000-05cfd0648d4822f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "05cfd0648d4822f9836617f63279836f231bb90a2d37a26814d3af8b77db0abb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000036.json b/manifests/batches/mathlib/000036.json
index f89748d81fa087b0010fbb004e68bc137851fff6..ce6d1a677fb39a09c2314dc899003685f2c16fbf 100644
--- a/manifests/batches/mathlib/000036.json
+++ b/manifests/batches/mathlib/000036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000036",
   "batch_fingerprint": "8ee23c4858585a2a14d9209ba9cbc84184cd7ebcc8376f32e5a70177adb5225d",
   "evidence": {
@@ -1171,29 +1170,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000036-0000-4a6bfa4a9cba3b25.parquet",
-      "sha256": "4a6bfa4a9cba3b25b2658a263ed413dd863ad35591488450950705b449024b70",
-      "bytes": 242173,
-      "rows": 46,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/dev/mathlib-000036-0000-dbba86fd626f835b.parquet",
-      "sha256": "dbba86fd626f835b7a2a7baf08b823c2091e9b6a1bfbf4183fcbe87ce7eab472",
-      "bytes": 55907,
-      "rows": 2,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    },
-    {
-      "path": "data/internal_test/mathlib-000036-0000-864b695812da0c9d.parquet",
-      "sha256": "864b695812da0c9de7e95b879dd8b714435e2cc1a6f8a47d84e075d78a4a6196",
-      "bytes": 81161,
-      "rows": 5,
-      "revision": "20343734923b05bac9ee5e61e7fa8126c8532808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.map_algebraMap",
     "mathlib:AlgHomClass.unitization_injective",
@@ -1255,5 +1232,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Tower.lean\",null,null,\"Submodule.restrictScalars_span\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Tower.lean\",null,null,\"Submodule.smul_mem_span_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Algebra/Tower.lean\",null,null,\"Submodule.smul_mem_span_smul'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242173,
+      "path": "data/train/pb5/mathlib-000036-0000-4a6bfa4a9cba3b25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "4a6bfa4a9cba3b25b2658a263ed413dd863ad35591488450950705b449024b70"
+    },
+    {
+      "bytes": 55907,
+      "path": "data/dev/pb5/mathlib-000036-0000-dbba86fd626f835b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dbba86fd626f835b7a2a7baf08b823c2091e9b6a1bfbf4183fcbe87ce7eab472"
+    },
+    {
+      "bytes": 81161,
+      "path": "data/internal_test/pb5/mathlib-000036-0000-864b695812da0c9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "864b695812da0c9de7e95b879dd8b714435e2cc1a6f8a47d84e075d78a4a6196"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000037.json b/manifests/batches/mathlib/000037.json
index 9b0991cd7fe227643e20234030642cb6eb7b1c28..db8cad2ad744b3e731173aca3ed8afcffd6792f3 100644
--- a/manifests/batches/mathlib/000037.json
+++ b/manifests/batches/mathlib/000037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000037",
   "batch_fingerprint": "159815a6a47c5655bfa9849463b3a21942d46f268b4936da22f954497d4781a0",
   "evidence": {
@@ -1378,22 +1377,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000037-0000-2b584582add5ad1d.parquet",
-      "sha256": "2b584582add5ad1d4b477890c01b588fe6f5c41728f8437396e7a98a66aceb22",
-      "bytes": 51143,
-      "rows": 8,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000037-0000-2ce359679e2d283e.parquet",
-      "sha256": "2ce359679e2d283e80b4c2e3533e67ab11fe213c6c48ba5432210043caae56af",
-      "bytes": 59100,
-      "rows": 7,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebraic.cardinal_mk_le_max",
     "mathlib:Algebraic.cardinal_mk_le_mul",
@@ -1407,5 +1391,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AlgebraicCard.lean\",null,null,\"Algebraic.cardinal_mk_lift_le_max\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AlgebraicCard.lean\",null,null,\"Algebraic.cardinal_mk_lift_le_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/AlgebraicCard.lean\",null,null,\"Algebraic.countable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51143,
+      "path": "data/train/p0f/mathlib-000037-0000-2b584582add5ad1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2b584582add5ad1d4b477890c01b588fe6f5c41728f8437396e7a98a66aceb22"
+    },
+    {
+      "bytes": 59100,
+      "path": "data/dev/p0f/mathlib-000037-0000-2ce359679e2d283e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2ce359679e2d283e80b4c2e3533e67ab11fe213c6c48ba5432210043caae56af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000038.json b/manifests/batches/mathlib/000038.json
index 1b854c44a598f9a22dbf315de544b2e2a04b257d..9743171217f26ff13b57f9eca4e10d0b9498a8c9 100644
--- a/manifests/batches/mathlib/000038.json
+++ b/manifests/batches/mathlib/000038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000038",
   "batch_fingerprint": "0fb61c6282cd281cdfb91798446b1b1622ec422f8e90c0d7c1f4cef2c061fa2a",
   "evidence": {
@@ -5358,36 +5357,7 @@
     "validation_rejected_proofs": 19,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000038-0000-61843b608787c4e1.parquet",
-      "sha256": "61843b608787c4e1ac702ac48d592286eb2602925f80a5ddf5d409e2134741cb",
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-      "rows": 80,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
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-    {
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-      "sha256": "ab6b8735f10dbd4bef9d2999fd7a6bba03e2f58a974f823aea4609f541ca40ff",
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-      "rows": 3,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000038-0000-40fbb103f3bc3189.parquet",
-      "sha256": "40fbb103f3bc318961d4ab543fe8a5b45a8a4926de63ef44296706ebe3db948d",
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-      "rows": 3,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
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-    {
-      "path": "data/quarantine/mathlib-000038-0000-a0ac3c972ee241e9.parquet",
-      "sha256": "a0ac3c972ee241e957fb757d68f7eb3ce85cd6e973d8c2eccc221bc68e74e587",
-      "bytes": 35071,
-      "rows": 1,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Associated.eq_zero_iff",
     "mathlib:Associated.isUnit",
@@ -5493,5 +5463,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Associated.lean\",null,null,\"Prime.exists_mem_multiset_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Associated.lean\",null,null,\"Prime.exists_mem_multiset_map_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Associated.lean\",null,null,\"Prime.not_dvd_finset_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232792,
+      "path": "data/train/pe1/mathlib-000038-0000-61843b608787c4e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 80,
+      "sha256": "61843b608787c4e1ac702ac48d592286eb2602925f80a5ddf5d409e2134741cb"
+    },
+    {
+      "bytes": 38631,
+      "path": "data/dev/pe1/mathlib-000038-0000-ab6b8735f10dbd4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ab6b8735f10dbd4bef9d2999fd7a6bba03e2f58a974f823aea4609f541ca40ff"
+    },
+    {
+      "bytes": 36447,
+      "path": "data/internal_test/pe1/mathlib-000038-0000-40fbb103f3bc3189.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "40fbb103f3bc318961d4ab543fe8a5b45a8a4926de63ef44296706ebe3db948d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000039.json b/manifests/batches/mathlib/000039.json
index 0698c4f632440fb10598fd888db7d6c4f2cac67a..7d3bc9fc14a230d093465fa3f8371a3651a57ca6 100644
--- a/manifests/batches/mathlib/000039.json
+++ b/manifests/batches/mathlib/000039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000039",
   "batch_fingerprint": "ff65df265322b491d1d35439d0d203a1ab1add72b9d3f288be05f86e950facb9",
   "evidence": {
@@ -3830,29 +3829,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000039-0000-ba70f47350d11677.parquet",
-      "sha256": "ba70f47350d116777f25aa57173dc5cf360dede8acb5b9641f73bb0b9ccffed5",
-      "bytes": 375984,
-      "rows": 110,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000039-0000-ed4de445773b77a4.parquet",
-      "sha256": "ed4de445773b77a46e20194110cd122b7b95f016a8bc546857fc0272dfe064dc",
-      "bytes": 53759,
-      "rows": 8,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000039-0000-bd491e2f86020938.parquet",
-      "sha256": "bd491e2f86020938afabc24af0cadfa153bbaf65610aea85d714badf9d8d5bcb",
-      "bytes": 64143,
-      "rows": 13,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.partialProd_succ",
     "mathlib:Fin.partialProd_succ'",
@@ -3998,5 +3975,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Finprod.lean\",null,null,\"finprod_mem_union_inter'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Finprod.lean\",null,null,\"finprod_of_isEmpty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Finprod.lean\",null,null,\"finprod_set_coe_eq_finprod_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375984,
+      "path": "data/train/p27/mathlib-000039-0000-ba70f47350d11677.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "ba70f47350d116777f25aa57173dc5cf360dede8acb5b9641f73bb0b9ccffed5"
+    },
+    {
+      "bytes": 53759,
+      "path": "data/dev/p27/mathlib-000039-0000-ed4de445773b77a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ed4de445773b77a46e20194110cd122b7b95f016a8bc546857fc0272dfe064dc"
+    },
+    {
+      "bytes": 64143,
+      "path": "data/internal_test/p27/mathlib-000039-0000-bd491e2f86020938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bd491e2f86020938afabc24af0cadfa153bbaf65610aea85d714badf9d8d5bcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000040.json b/manifests/batches/mathlib/000040.json
index de18e8949f5b0a6fa490cfe78754f1c6e9e4f379..b84e6fd62db9e20b654691da9401c339efc88a36 100644
--- a/manifests/batches/mathlib/000040.json
+++ b/manifests/batches/mathlib/000040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000040",
   "batch_fingerprint": "5de9e6b11542f7e9bad0e1d1fa77ceb94596479622501b7015992f02f9ac0902",
   "evidence": {
@@ -7295,29 +7294,7 @@
     "validation_rejected_proofs": 26,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000040-0000-616dd3dfe00bc760.parquet",
-      "sha256": "616dd3dfe00bc760fdad590cae8486a1324510bd92cca1f0156c3db2e824d5d0",
-      "bytes": 682357,
-      "rows": 190,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000040-0000-41204ab2c1ed8555.parquet",
-      "sha256": "41204ab2c1ed85555470cf502ffe6851acac145314e7d2a3fd5ed0ac90267994",
-      "bytes": 89974,
-      "rows": 14,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000040-0000-81bee1c4bcff80d9.parquet",
-      "sha256": "81bee1c4bcff80d9d1227ae27ea87533a614c5a3579964819b25e444848438f6",
-      "bytes": 105286,
-      "rows": 27,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.prod_comp",
     "mathlib:Finset.card_biUnion",
@@ -7609,5 +7586,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Finset.lean\",null,null,\"toAdd_multiset_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Finset.lean\",null,null,\"toMul_list_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Finset.lean\",null,null,\"toMul_multiset_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 682357,
+      "path": "data/train/p82/mathlib-000040-0000-616dd3dfe00bc760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 190,
+      "sha256": "616dd3dfe00bc760fdad590cae8486a1324510bd92cca1f0156c3db2e824d5d0"
+    },
+    {
+      "bytes": 89974,
+      "path": "data/dev/p82/mathlib-000040-0000-41204ab2c1ed8555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "41204ab2c1ed85555470cf502ffe6851acac145314e7d2a3fd5ed0ac90267994"
+    },
+    {
+      "bytes": 105286,
+      "path": "data/internal_test/p82/mathlib-000040-0000-81bee1c4bcff80d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "81bee1c4bcff80d9d1227ae27ea87533a614c5a3579964819b25e444848438f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000041.json b/manifests/batches/mathlib/000041.json
index a6bddf2772bf1cfa9ad3c63de5ca2d33f695e3ef..acc6dcb634f767f6e2d90ec0cea5cce8e0ce238a 100644
--- a/manifests/batches/mathlib/000041.json
+++ b/manifests/batches/mathlib/000041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000041",
   "batch_fingerprint": "a1467dac1acc0048a485e46f844a26a9ae2b093ca71683e28cd2691aafa8d513",
   "evidence": {
@@ -2854,29 +2853,7 @@
     "validation_rejected_proofs": 21,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000041-0000-a744683462e8a26a.parquet",
-      "sha256": "a744683462e8a26a0d029228d91b42a5692be9924c91da8ec096c2a0816c9546",
-      "bytes": 255485,
-      "rows": 69,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000041-0000-1e4ebbe8f8971fdb.parquet",
-      "sha256": "1e4ebbe8f8971fdb7cbc3020f0e6244c23913f0bd7f3bfbe61382bd89d37e761",
-      "bytes": 61495,
-      "rows": 5,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000041-0000-4fff1d518b7169e2.parquet",
-      "sha256": "4fff1d518b7169e2e784e9edb34272c1a16f91ab74a06f9c4d307943d97a92d8",
-      "bytes": 68368,
-      "rows": 9,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Sublist.prod_dvd_prod",
     "mathlib:List.alternatingProd_cons",
@@ -3008,5 +2985,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Multiset.lean\",null,null,\"Multiset.prod_toList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Multiset.lean\",null,null,\"Multiset.sum_int_mod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Group/Multiset.lean\",null,null,\"Multiset.sum_nat_mod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255485,
+      "path": "data/train/p4f/mathlib-000041-0000-a744683462e8a26a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "a744683462e8a26a0d029228d91b42a5692be9924c91da8ec096c2a0816c9546"
+    },
+    {
+      "bytes": 61495,
+      "path": "data/dev/p4f/mathlib-000041-0000-1e4ebbe8f8971fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1e4ebbe8f8971fdb7cbc3020f0e6244c23913f0bd7f3bfbe61382bd89d37e761"
+    },
+    {
+      "bytes": 68368,
+      "path": "data/internal_test/p4f/mathlib-000041-0000-4fff1d518b7169e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4fff1d518b7169e2e784e9edb34272c1a16f91ab74a06f9c4d307943d97a92d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000042.json b/manifests/batches/mathlib/000042.json
index e4f5419da06f18c385c013857450f6e0d029eab0..cdd5eb30bea4a5aab82dfcadb2c61158f72754de 100644
--- a/manifests/batches/mathlib/000042.json
+++ b/manifests/batches/mathlib/000042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000042",
   "batch_fingerprint": "1a34cf82a033355341eed1f370d442956f411d5bf6d87f5dc64761721ac70999",
   "evidence": {
@@ -759,29 +758,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000042-0000-876a6a5d84e394b3.parquet",
-      "sha256": "876a6a5d84e394b35165dc0c761cd05908e26f314e6ae84f6da1318c28dc3d8c",
-      "bytes": 158906,
-      "rows": 35,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000042-0000-58a1f25c7ce0f974.parquet",
-      "sha256": "58a1f25c7ce0f974906234d896076246bafe300b80b9fa2c976f1758eb81bde4",
-      "bytes": 41208,
-      "rows": 2,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000042-0000-3217ef06fd60ce61.parquet",
-      "sha256": "3217ef06fd60ce61be91c8491a682d1a467641839920eabb28dffc39e0df734f",
-      "bytes": 57967,
-      "rows": 6,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.mul_prod_Ico_eq_prod_Icc",
     "mathlib:Finset.mul_prod_Iio_eq_prod_Iic",
@@ -835,5 +812,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Intervals.lean\",null,null,\"Finset.sum_Ico_Ico_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Intervals.lean\",null,null,\"Finset.sum_Ico_Ico_comm'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Intervals.lean\",null,null,\"Finset.sum_range_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158906,
+      "path": "data/train/pd5/mathlib-000042-0000-876a6a5d84e394b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "876a6a5d84e394b35165dc0c761cd05908e26f314e6ae84f6da1318c28dc3d8c"
+    },
+    {
+      "bytes": 41208,
+      "path": "data/dev/pd5/mathlib-000042-0000-58a1f25c7ce0f974.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "58a1f25c7ce0f974906234d896076246bafe300b80b9fa2c976f1758eb81bde4"
+    },
+    {
+      "bytes": 57967,
+      "path": "data/internal_test/pd5/mathlib-000042-0000-3217ef06fd60ce61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3217ef06fd60ce61be91c8491a682d1a467641839920eabb28dffc39e0df734f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000043.json b/manifests/batches/mathlib/000043.json
index 3ca9a31ba535d780aa2a83602aa80c5a102b9d53..d9cf6ae128c045c0bdef871abc286a876b33fa6f 100644
--- a/manifests/batches/mathlib/000043.json
+++ b/manifests/batches/mathlib/000043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000043",
   "batch_fingerprint": "1d7f5fe85aaeddb75ff7f2ea23a31eb9e96b90ecdaf57c731004b60f495ddc95",
   "evidence": {
@@ -369,15 +368,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000043-0000-f030bf6608fedfc1.parquet",
-      "sha256": "f030bf6608fedfc1b0d9df1c51c386be7d5bfee98f891121e1373b8062281827",
-      "bytes": 56701,
-      "rows": 7,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Nat.prod_antidiagonal_subst",
     "mathlib:Finset.Nat.prod_antidiagonal_succ",
@@ -389,5 +380,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/NatAntidiagonal.lean\",null,null,\"Finset.Nat.prod_antidiagonal_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/NatAntidiagonal.lean\",null,null,\"Finset.Nat.prod_antidiagonal_succ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/NatAntidiagonal.lean\",null,null,\"Finset.Nat.prod_antidiagonal_swap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56701,
+      "path": "data/train/pd8/mathlib-000043-0000-f030bf6608fedfc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f030bf6608fedfc1b0d9df1c51c386be7d5bfee98f891121e1373b8062281827"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000044.json b/manifests/batches/mathlib/000044.json
index 3aa21d47ee7950be169c1652b5470410ff1e214e..6e75589ad7b6759bd4c679c047639ae9b0f581c2 100644
--- a/manifests/batches/mathlib/000044.json
+++ b/manifests/batches/mathlib/000044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000044",
   "batch_fingerprint": "400c2b6db4ec924e29c8784b024f805c8687e37a64b0c9b6607ce3c7154a31f3",
   "evidence": {
@@ -288,29 +287,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000044-0000-6733df6f2d868def.parquet",
-      "sha256": "6733df6f2d868def75bafb4ef8298608ae3b939d915beff5ce26c3ae87d5b53b",
-      "bytes": 43484,
-      "rows": 4,
-      "revision": "ae0501cb5adf02f1fc0ca2fea11a682165798c76"
-    },
-    {
-      "path": "data/dev/mathlib-000044-0000-f40f70e400b2dab5.parquet",
-      "sha256": "f40f70e400b2dab554d2c84bae9fb10d45ced3a0a8d431a8ef56ff94ff0888d5",
-      "bytes": 62621,
-      "rows": 4,
-      "revision": "ae0501cb5adf02f1fc0ca2fea11a682165798c76"
-    },
-    {
-      "path": "data/internal_test/mathlib-000044-0000-404f5853bab89329.parquet",
-      "sha256": "404f5853bab893292e57e6cca162ec4582f50fd52d06005010348034f7ef5449",
-      "bytes": 37088,
-      "rows": 2,
-      "revision": "ae0501cb5adf02f1fc0ca2fea11a682165798c76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.prod_insertNone",
     "mathlib:Finset.univ_prod_mulSingle",
@@ -324,5 +301,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Pi.lean\",null,null,\"MonoidHom.functions_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Pi.lean\",null,null,\"pi_eq_sum_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Pi.lean\",null,null,\"prod_mk_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43484,
+      "path": "data/train/p5f/mathlib-000044-0000-6733df6f2d868def.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6733df6f2d868def75bafb4ef8298608ae3b939d915beff5ce26c3ae87d5b53b"
+    },
+    {
+      "bytes": 62621,
+      "path": "data/dev/p5f/mathlib-000044-0000-f40f70e400b2dab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f40f70e400b2dab554d2c84bae9fb10d45ced3a0a8d431a8ef56ff94ff0888d5"
+    },
+    {
+      "bytes": 37088,
+      "path": "data/internal_test/p5f/mathlib-000044-0000-404f5853bab89329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "404f5853bab893292e57e6cca162ec4582f50fd52d06005010348034f7ef5449"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000045.json b/manifests/batches/mathlib/000045.json
index a9596193375b52d1b27b4cfd6b8c6b0f9e212276..124b5e6428b96f4f6b231308bd4c0da4b15413b1 100644
--- a/manifests/batches/mathlib/000045.json
+++ b/manifests/batches/mathlib/000045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000045",
   "batch_fingerprint": "47b77df414d42f482e69d747faf315ebca1b7aeda348b620354eefe95bf9801e",
   "evidence": {
@@ -1608,29 +1607,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000045-0000-f035b0df3d745374.parquet",
-      "sha256": "f035b0df3d7453743b0fc6e136d0ac92136fedf350d33e23198f53e0dadbb6ec",
-      "bytes": 98566,
-      "rows": 20,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/dev/mathlib-000045-0000-f6df0c96bf360664.parquet",
-      "sha256": "f6df0c96bf360664a58db3a2e66f7daa7208d136099665cdb98a6262cccc6e07",
-      "bytes": 41568,
-      "rows": 1,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000045-0000-2e2ea52a539a0c7f.parquet",
-      "sha256": "2e2ea52a539a0c7fa84fa6fe02eff28a3b6c2ce744fceebc875ec9ebe8a943d8",
-      "bytes": 42966,
-      "rows": 1,
-      "revision": "61f21f76cbf338a5d96f72def0b41e8b4955531a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.sum_right",
     "mathlib:Finset.dvd_sum",
@@ -1664,5 +1641,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring.lean\",null,null,\"Fintype.sum_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring/List.lean\",null,null,\"List.prod_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring/List.lean\",null,null,\"List.prod_map_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98566,
+      "path": "data/train/p54/mathlib-000045-0000-f035b0df3d745374.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f035b0df3d7453743b0fc6e136d0ac92136fedf350d33e23198f53e0dadbb6ec"
+    },
+    {
+      "bytes": 41568,
+      "path": "data/dev/p54/mathlib-000045-0000-f6df0c96bf360664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f6df0c96bf360664a58db3a2e66f7daa7208d136099665cdb98a6262cccc6e07"
+    },
+    {
+      "bytes": 42966,
+      "path": "data/internal_test/p54/mathlib-000045-0000-2e2ea52a539a0c7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2e2ea52a539a0c7fa84fa6fe02eff28a3b6c2ce744fceebc875ec9ebe8a943d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000046.json b/manifests/batches/mathlib/000046.json
index e36669676c9f857c317fbb3e04275656bd68cfec..a352f01d7492b566b504257e8c114d9fcdaca179 100644
--- a/manifests/batches/mathlib/000046.json
+++ b/manifests/batches/mathlib/000046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000046",
   "batch_fingerprint": "5977c598acc86024eee06942bb5c9e485a6cd86571c1a8735a65c83785cf2e72",
   "evidence": {
@@ -412,22 +411,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000046-0000-94904cbfbc5143f3.parquet",
-      "sha256": "94904cbfbc5143f38149f87eba7bb564a3b25b37555f1580584fc89bd4720872",
-      "bytes": 50092,
-      "rows": 6,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/internal_test/mathlib-000046-0000-0fb1d16dc09cff86.parquet",
-      "sha256": "0fb1d16dc09cff86525f29a52c2c63b7c125cb8181f8ca4f2516be9c940b5875",
-      "bytes": 47250,
-      "rows": 4,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.multiset_sum_right",
     "mathlib:Multiset.dvd_sum",
@@ -441,5 +425,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring/Multiset.lean\",null,null,\"Multiset.prod_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring/Multiset.lean\",null,null,\"Multiset.prod_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/Ring/Multiset.lean\",null,null,\"Multiset.prod_map_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50092,
+      "path": "data/train/p0f/mathlib-000046-0000-94904cbfbc5143f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "94904cbfbc5143f38149f87eba7bb564a3b25b37555f1580584fc89bd4720872"
+    },
+    {
+      "bytes": 47250,
+      "path": "data/internal_test/p0f/mathlib-000046-0000-0fb1d16dc09cff86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0fb1d16dc09cff86525f29a52c2c63b7c125cb8181f8ca4f2516be9c940b5875"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000047.json b/manifests/batches/mathlib/000047.json
index 041995fd8428b377da1a09f668daacc5e76bfda1..06824efb33fcaa03a7eeadfe6c22ec4f0c71e806 100644
--- a/manifests/batches/mathlib/000047.json
+++ b/manifests/batches/mathlib/000047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000047",
   "batch_fingerprint": "9d455a7796087b3d7981d7e3fbbd62a433e971f5414153c5772864a251cbe3ea",
   "evidence": {
@@ -678,15 +677,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000047-0000-1b6cef2acc525578.parquet",
-      "sha256": "1b6cef2acc525578033e1705596101cf88102069434347be48422f7787fa3a6a",
-      "bytes": 47906,
-      "rows": 6,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WithBot.bot_lt_sum_iff",
     "mathlib:WithBot.sum_eq_bot_iff",
@@ -702,5 +693,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/BigOperators/WithTop.lean\",null,null,\"WithTop.sum_lt_top_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Bounds.lean\",null,null,\"ciInf_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Bounds.lean\",null,null,\"ciSup_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47906,
+      "path": "data/train/pa1/mathlib-000047-0000-1b6cef2acc525578.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1b6cef2acc525578033e1705596101cf88102069434347be48422f7787fa3a6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000048.json b/manifests/batches/mathlib/000048.json
index b2a5b1df22d7961e3d991f05859bdb401f8afe7f..fe97545939d70e47ecdb19927e2021c2b9e5d1c7 100644
--- a/manifests/batches/mathlib/000048.json
+++ b/manifests/batches/mathlib/000048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000048",
   "batch_fingerprint": "31a3ea33de511dcac1806b963f07e1c86e8271fd6d6cd9e719a1bce3414a6bc7",
   "evidence": {
@@ -216,7 +215,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000049.json b/manifests/batches/mathlib/000049.json
index 5da9105cda5d359ae676ce11e4c74f4112114e12..a4a3a542da80db69ded0a496b8bdc2458d4727b9 100644
--- a/manifests/batches/mathlib/000049.json
+++ b/manifests/batches/mathlib/000049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000049",
   "batch_fingerprint": "35aa7ee417397f9289680caf1201acd144ec7a7cc8e526528fd810d6d6a67421",
   "evidence": {
@@ -370,15 +369,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000049-0000-49ced681a779eac8.parquet",
-      "sha256": "49ced681a779eac8230893ec7cd8eda23414098a3319ddb3bffbfc5de50f665f",
-      "bytes": 33771,
-      "rows": 2,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraCat.forget\u2082_map_associator_inv",
     "mathlib:BialgebraCat.Hom.toBialgHom_injective"
@@ -386,5 +377,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/AlgebraCat/Monoidal.lean\",null,null,\"AlgebraCat.forget\u2082_map_associator_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/BialgebraCat/Basic.lean\",null,null,\"BialgebraCat.Hom.toBialgHom_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33771,
+      "path": "data/train/p60/mathlib-000049-0000-49ced681a779eac8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "49ced681a779eac8230893ec7cd8eda23414098a3319ddb3bffbfc5de50f665f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000050.json b/manifests/batches/mathlib/000050.json
index fc057542e29dfa4bbd52753403ebef943adec4b5..dda636abd48cc7c37aeb186dc38aa63766fed530 100644
--- a/manifests/batches/mathlib/000050.json
+++ b/manifests/batches/mathlib/000050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000050",
   "batch_fingerprint": "94634bb11844de3857aef0f545cd29a9c82059af92640e9819bc71efbb95d4af",
   "evidence": {
@@ -370,19 +369,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000050-0000-c99649e89bdfe470.parquet",
-      "sha256": "c99649e89bdfe4709ed80e004d266237caaedcda9a612eaaf3af74c6785b2370",
-      "bytes": 30562,
-      "rows": 1,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CoalgebraCat.Hom.toCoalgHom_injective"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/CoalgebraCat/Basic.lean\",null,null,\"CoalgebraCat.Hom.toCoalgHom_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 30562,
+      "path": "data/train/p48/mathlib-000050-0000-c99649e89bdfe470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c99649e89bdfe4709ed80e004d266237caaedcda9a612eaaf3af74c6785b2370"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000051.json b/manifests/batches/mathlib/000051.json
index cdb4e5a117c32bc711e26026c9fa66b572d6e7fa..c7ba2155e107d1928fc48c23b1c48f89bbc6d9cb 100644
--- a/manifests/batches/mathlib/000051.json
+++ b/manifests/batches/mathlib/000051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000051",
   "batch_fingerprint": "4b3410576e449b178480436ae19d5b6a9a45cb2b589480499d396361495132ce",
   "evidence": {
@@ -260,22 +259,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000051-0000-7579377d530fd63a.parquet",
-      "sha256": "7579377d530fd63a54c12eef686ecc43616c3484a7847d2e1a52569e051d024b",
-      "bytes": 56333,
-      "rows": 3,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    },
-    {
-      "path": "data/dev/mathlib-000051-0000-5075fab4f0ab8ed8.parquet",
-      "sha256": "5075fab4f0ab8ed89e06901554462828bed02876672721f8f52de6e1dee50876",
-      "bytes": 36193,
-      "rows": 1,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGrp.exact_iff",
     "mathlib:FGModuleCat.coevaluation_evaluation",
@@ -285,5 +269,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/FGModuleCat/Basic.lean\",null,null,\"FGModuleCat.coevaluation_evaluation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/FGModuleCat/Basic.lean\",null,null,\"FGModuleCat.evaluation_coevaluation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/Abelian.lean\",null,null,\"AddCommGrp.exact_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56333,
+      "path": "data/train/pc7/mathlib-000051-0000-7579377d530fd63a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7579377d530fd63a54c12eef686ecc43616c3484a7847d2e1a52569e051d024b"
+    },
+    {
+      "bytes": 36193,
+      "path": "data/dev/pc7/mathlib-000051-0000-5075fab4f0ab8ed8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5075fab4f0ab8ed89e06901554462828bed02876672721f8f52de6e1dee50876"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000052.json b/manifests/batches/mathlib/000052.json
index 541a8315f41f103e7aaa6312c23c83a2532cbf0a..25845ddfbafa7052f857e1fefaa8ca9f587a65de 100644
--- a/manifests/batches/mathlib/000052.json
+++ b/manifests/batches/mathlib/000052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000052",
   "batch_fingerprint": "8594cc829ccf59c34cd5560701c841baf87bb051b04fea23f1c7976db8a81cb1",
   "evidence": {
@@ -672,7 +671,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000053.json b/manifests/batches/mathlib/000053.json
index 560e2efebb6888aac06f5c04f29a367518807a50..42e573162904e4e3d75d87d073b7146089c97bf1 100644
--- a/manifests/batches/mathlib/000053.json
+++ b/manifests/batches/mathlib/000053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000053",
   "batch_fingerprint": "0f2d72d878c045f99e520bfea126ddcaf582621ad5f58db477e9633b46d0661f",
   "evidence": {
@@ -310,15 +309,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000053-0000-167091a2e2823456.parquet",
-      "sha256": "167091a2e2823456491f9f02efb19136e1c290589a95541dc3bffa7f2344d207",
-      "bytes": 56075,
-      "rows": 5,
-      "revision": "8f67fffb6ed940a793038d8f5431ed9a862b38f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGrp.Colimits.cocone_naturality",
     "mathlib:AddCommGrp.Colimits.cocone_naturality_components"
@@ -326,5 +317,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/Colimits.lean\",null,null,\"AddCommGrp.Colimits.cocone_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/Colimits.lean\",null,null,\"AddCommGrp.Colimits.cocone_naturality_components\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56075,
+      "path": "data/train/p3c/mathlib-000053-0000-167091a2e2823456.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "167091a2e2823456491f9f02efb19136e1c290589a95541dc3bffa7f2344d207"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000054.json b/manifests/batches/mathlib/000054.json
index 0e64f715eccca4f7938c2d498c60cd217cc5a5b2..599f8addefd09fb4e4653582d5ac022837105e50 100644
--- a/manifests/batches/mathlib/000054.json
+++ b/manifests/batches/mathlib/000054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000054",
   "batch_fingerprint": "5b15c9722238bb122acff3db9740b639bd5ffd7e9791bc0dacce76436cf80ee5",
   "evidence": {
@@ -1043,15 +1042,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000054-0000-7d611e9a0435d640.parquet",
-      "sha256": "7d611e9a0435d640ff5e10429d05703ad92ca1a901b7ea6e95fb5a787a5e66f5",
-      "bytes": 220202,
-      "rows": 41,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommGrp.epi_iff_surjective",
     "mathlib:Grp.FilteredColimits.colimitInvAux_eq_of_rel",
@@ -1077,5 +1068,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/EpiMono.lean\",null,null,\"Grp.SurjectiveOfEpiAuxs.\u03c4_symm_apply_infinity\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/EpiMono.lean\",null,null,\"Grp.surjective_of_epi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/FilteredColimits.lean\",null,null,\"Grp.FilteredColimits.colimitInvAux_eq_of_rel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220202,
+      "path": "data/train/p35/mathlib-000054-0000-7d611e9a0435d640.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "7d611e9a0435d640ff5e10429d05703ad92ca1a901b7ea6e95fb5a787a5e66f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000055.json b/manifests/batches/mathlib/000055.json
index 35e8ebcd96b383f3cc6612ac9d83a1c2031b18d4..a03d1adee6243314851a856ee8604d4280c2f269 100644
--- a/manifests/batches/mathlib/000055.json
+++ b/manifests/batches/mathlib/000055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000055",
   "batch_fingerprint": "9910ba574e67296e647860f9bf88f048a98d9b68fb0345d47e61ea64cc200c31",
   "evidence": {
@@ -153,15 +152,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000055-0000-0d596e04a5e7e410.parquet",
-      "sha256": "0d596e04a5e7e4101252267432031a0a658f400b0caf702035c5933d8a1afa85",
-      "bytes": 49660,
-      "rows": 6,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGrp.image.fac",
     "mathlib:AddCommGrp.image.lift_fac"
@@ -169,5 +160,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/Images.lean\",null,null,\"AddCommGrp.image.fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Grp/Images.lean\",null,null,\"AddCommGrp.image.lift_fac\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49660,
+      "path": "data/train/p6f/mathlib-000055-0000-0d596e04a5e7e410.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0d596e04a5e7e4101252267432031a0a658f400b0caf702035c5933d8a1afa85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000056.json b/manifests/batches/mathlib/000056.json
index f545a7a51d3245a09e1f0576bf1812cc038accda..81a414fa37c73559cc3288480a58049c64e6074f 100644
--- a/manifests/batches/mathlib/000056.json
+++ b/manifests/batches/mathlib/000056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000056",
   "batch_fingerprint": "d357eea4d5e17f9338ed87986261412eb92f9d10146d92fac5aecbf19b671918",
   "evidence": {
@@ -237,7 +236,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000057.json b/manifests/batches/mathlib/000057.json
index 5cc085f3af365b7db36cdada2fc526252258cff6..1641c78fc402978b3b3f1b4d9f8ff51d9596a2e6 100644
--- a/manifests/batches/mathlib/000057.json
+++ b/manifests/batches/mathlib/000057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000057",
   "batch_fingerprint": "0ec02c3af003f33df80bc353fb8534f1a1a707989699fcaff5f8c797ec04e9c2",
   "evidence": {
@@ -247,7 +246,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000058.json b/manifests/batches/mathlib/000058.json
index 5f3b24f22df2c5641d1268fe942d9f102c7d5612..585cca5b6a4c71ea40d90e9dc0a4baf6edb05364 100644
--- a/manifests/batches/mathlib/000058.json
+++ b/manifests/batches/mathlib/000058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000058",
   "batch_fingerprint": "b33df3f91fb6ceedfbe22f826bb5c39d4e74b83eff930f90f50b2922960c4060",
   "evidence": {
@@ -564,15 +563,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000058-0000-097598284cc7c668.parquet",
-      "sha256": "097598284cc7c668b2b2fc613917b5a4db5157db7aeaba3a222e40eca93f4e2f",
-      "bytes": 60133,
-      "rows": 5,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Free.lift_map_single",
     "mathlib:CategoryTheory.Free.single_comp_single",
@@ -582,5 +573,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Abelian.lean\",null,null,\"ModuleCat.exact_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean\",null,null,\"CategoryTheory.Free.lift_map_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean\",null,null,\"CategoryTheory.Free.single_comp_single\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60133,
+      "path": "data/train/p24/mathlib-000058-0000-097598284cc7c668.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "097598284cc7c668b2b2fc613917b5a4db5157db7aeaba3a222e40eca93f4e2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000059.json b/manifests/batches/mathlib/000059.json
index 06998d04da4e930a359fef41f8decc75525a365c..85a45a975ec1bea2f716efd1b36b4e68b3529ebf 100644
--- a/manifests/batches/mathlib/000059.json
+++ b/manifests/batches/mathlib/000059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000059",
   "batch_fingerprint": "ec311206feb82ba94d48504bb738b413690d6127ecc5ea34ef15c074c9663c12",
   "evidence": {
@@ -491,19 +490,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-000059-0000-3bdd33c03edce493.parquet",
-      "sha256": "3bdd33c03edce49374b6cea09a481bc82254a9d890c97b65e52b6ea555f97beb",
-      "bytes": 48663,
-      "rows": 2,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.smul_naturality"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Basic.lean\",null,null,\"ModuleCat.smul_naturality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48663,
+      "path": "data/internal_test/p99/mathlib-000059-0000-3bdd33c03edce493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3bdd33c03edce49374b6cea09a481bc82254a9d890c97b65e52b6ea555f97beb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000060.json b/manifests/batches/mathlib/000060.json
index 566f76aa1eef703b1772e16a535d271d08901628..f4e9c9ed8d45f1e7e1b9faf718eff108d93eb8e7 100644
--- a/manifests/batches/mathlib/000060.json
+++ b/manifests/batches/mathlib/000060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000060",
   "batch_fingerprint": "568a93b67a17dfa47a8cb0d55660c1caaf024718adbf18e9937845a32cc10dab",
   "evidence": {
@@ -586,7 +585,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000061.json b/manifests/batches/mathlib/000061.json
index 221febb0493b5ff2170b35bbe147349d98d406d6..484bcd5c5d12f5f2f4b15874a735288c1187cc9d 100644
--- a/manifests/batches/mathlib/000061.json
+++ b/manifests/batches/mathlib/000061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000061",
   "batch_fingerprint": "e380f93eec7e734ed88e199f1f78679226445c941868517c65508c75121221cf",
   "evidence": {
@@ -245,15 +244,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000061-0000-735c1385ea3a0244.parquet",
-      "sha256": "735c1385ea3a0244720677d3be3ddb8da9d1cfac5ec17e420b96bbbefd2dc55f",
-      "bytes": 95944,
-      "rows": 16,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommRingCat.KaehlerDifferential.map_d",
     "mathlib:ModuleCat.Derivation.d_add",
@@ -271,5 +262,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean\",null,null,\"PresheafOfModules.Derivation.congr_d\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean\",null,null,\"PresheafOfModules.Derivation.d_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean\",null,null,\"PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_map_d\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95944,
+      "path": "data/train/p44/mathlib-000061-0000-735c1385ea3a0244.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "735c1385ea3a0244720677d3be3ddb8da9d1cfac5ec17e420b96bbbefd2dc55f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000062.json b/manifests/batches/mathlib/000062.json
index 4ff0cf973c358aa62e54c31a8fd11d375c5d2d48..7d37a62ee9b6dfff83f745671722cef917702356 100644
--- a/manifests/batches/mathlib/000062.json
+++ b/manifests/batches/mathlib/000062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000062",
   "batch_fingerprint": "57225fc98ae233c3fed98f7cf1241eac1cf9a03b773e954f0886b58e8fd1b1ba",
   "evidence": {
@@ -363,15 +362,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000062-0000-f9991a50f6bd3a6a.parquet",
-      "sha256": "f9991a50f6bd3a6a701e9b4f555d6d78115288f64b5ec76a901050335821ac74",
-      "bytes": 39002,
-      "rows": 3,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.epi_iff_surjective",
     "mathlib:ModuleCat.mono_iff_injective",
@@ -381,5 +372,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/EpiMono.lean\",null,null,\"ModuleCat.epi_iff_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/EpiMono.lean\",null,null,\"ModuleCat.mono_iff_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/EpiMono.lean\",null,null,\"ModuleCat.mono_iff_ker_eq_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39002,
+      "path": "data/train/pa2/mathlib-000062-0000-f9991a50f6bd3a6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f9991a50f6bd3a6a701e9b4f555d6d78115288f64b5ec76a901050335821ac74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000063.json b/manifests/batches/mathlib/000063.json
index 02102675e776586404b866efd4cca1530dd1b583..aafb02e6e481523afd2c4d532cd25c3c62d23680 100644
--- a/manifests/batches/mathlib/000063.json
+++ b/manifests/batches/mathlib/000063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000063",
   "batch_fingerprint": "804c2fabd00a95c1757d51a64edb825e158c705ffef21a3f1ccaf182c40989a2",
   "evidence": {
@@ -536,15 +535,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000063-0000-c35a3c6c7773141a.parquet",
-      "sha256": "c35a3c6c7773141a8b8ec70eaa801d62d8b74e08625cfb7b455f96064952f370",
-      "bytes": 118098,
-      "rows": 20,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.disjoint_span_sum",
     "mathlib:ModuleCat.free_shortExact_finrank_add",
@@ -560,5 +551,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Free.lean\",null,null,\"ModuleCat.linearIndependent_shortExact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Images.lean\",null,null,\"ModuleCat.image.lift_fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Images.lean\",null,null,\"ModuleCat.imageIsoRange_hom_subtype\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118098,
+      "path": "data/train/p3a/mathlib-000063-0000-c35a3c6c7773141a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c35a3c6c7773141a8b8ec70eaa801d62d8b74e08625cfb7b455f96064952f370"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000064.json b/manifests/batches/mathlib/000064.json
index daabde06f4bae67d399fc9de3e6750f2460fb443..fad818a0a19772941fa2e2fe9025ae8b540e7a49 100644
--- a/manifests/batches/mathlib/000064.json
+++ b/manifests/batches/mathlib/000064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000064",
   "batch_fingerprint": "3a6aa611c5e398dc19b2c27b6cbd06282ac1077a34e23a44f73fc0721997875c",
   "evidence": {
@@ -172,19 +171,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000064-0000-3f6fd5b3bcb9ba9e.parquet",
-      "sha256": "3f6fd5b3bcb9ba9e1a411b5fd07740ab37a146170d184f001ec54ef297580945",
-      "bytes": 47791,
-      "rows": 2,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.cokernel_\u03c0_ext"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Kernels.lean\",null,null,\"ModuleCat.cokernel_\u03c0_ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47791,
+      "path": "data/train/pa7/mathlib-000064-0000-3f6fd5b3bcb9ba9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3f6fd5b3bcb9ba9e1a411b5fd07740ab37a146170d184f001ec54ef297580945"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000065.json b/manifests/batches/mathlib/000065.json
index 8acc0e9cdd104d884945502d6e5526b78b395e7c..dd799370132b90144652e19c624dadb644a202a2 100644
--- a/manifests/batches/mathlib/000065.json
+++ b/manifests/batches/mathlib/000065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000065",
   "batch_fingerprint": "8737cab44f52242f71b98c36de6b779a9d4be1d842fa4adabf839a00a36e61b5",
   "evidence": {
@@ -260,22 +259,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000065-0000-b7693a6af7bdbf5f.parquet",
-      "sha256": "b7693a6af7bdbf5ffe196d3710834b40980c3fc01c96c8e9e59b036615982275",
-      "bytes": 259069,
-      "rows": 24,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000065-0000-0b507e1fcd672fb3.parquet",
-      "sha256": "0b507e1fcd672fb3d8a6196072eea2d4faf80a9b50b49531966e35946edb6b23",
-      "bytes": 94190,
-      "rows": 10,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.MonoidalCategory.associator_naturality",
     "mathlib:ModuleCat.MonoidalCategory.associator_naturality_aux",
@@ -297,5 +281,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean\",null,null,\"ModuleCat.MonoidalCategory.tensor_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean\",null,null,\"ModuleCat.MonoidalCategory.tensor_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean\",null,null,\"ModuleCat.MonoidalCategory.triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259069,
+      "path": "data/train/pc0/mathlib-000065-0000-b7693a6af7bdbf5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b7693a6af7bdbf5ffe196d3710834b40980c3fc01c96c8e9e59b036615982275"
+    },
+    {
+      "bytes": 94190,
+      "path": "data/internal_test/pc0/mathlib-000065-0000-0b507e1fcd672fb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0b507e1fcd672fb3d8a6196072eea2d4faf80a9b50b49531966e35946edb6b23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000066.json b/manifests/batches/mathlib/000066.json
index 3a34246cf0c73f064979cdf1cb7061e663b863a6..74d40c648340b7499e8d95122d1a3cea655d3d44 100644
--- a/manifests/batches/mathlib/000066.json
+++ b/manifests/batches/mathlib/000066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000066",
   "batch_fingerprint": "e1e3ea241b8d33427d6d42263ee93bf10c2dc8397f6428184ac12e5b41848ae7",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000066-0000-2845ac136548e26e.parquet",
-      "sha256": "2845ac136548e26e384389da5ba15416003581cc3688edc5ec7cd913bc7f8a1b",
-      "bytes": 145629,
-      "rows": 13,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/mathlib-000066-0000-875c0839f6a41af6.parquet",
-      "sha256": "875c0839f6a41af6ec6a347f0ad430e891d9ed9f2c85de707b0f9c770dbfb7d2",
-      "bytes": 51839,
-      "rows": 3,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModuleCat.MonoidalCategory.braiding_naturality",
     "mathlib:ModuleCat.MonoidalCategory.braiding_naturality_left",
@@ -203,5 +187,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean\",null,null,\"ModuleCat.MonoidalCategory.braiding_naturality_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean\",null,null,\"ModuleCat.MonoidalCategory.hexagon_forward\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean\",null,null,\"ModuleCat.MonoidalCategory.hexagon_reverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145629,
+      "path": "data/train/pdd/mathlib-000066-0000-2845ac136548e26e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2845ac136548e26e384389da5ba15416003581cc3688edc5ec7cd913bc7f8a1b"
+    },
+    {
+      "bytes": 51839,
+      "path": "data/dev/pdd/mathlib-000066-0000-875c0839f6a41af6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "875c0839f6a41af6ec6a347f0ad430e891d9ed9f2c85de707b0f9c770dbfb7d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000067.json b/manifests/batches/mathlib/000067.json
index 2b4286029a11c672551a79f458ed9c17e3785765..3a2ca4cac49b26cea00f56b14c83a4df358e7e54 100644
--- a/manifests/batches/mathlib/000067.json
+++ b/manifests/batches/mathlib/000067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000067",
   "batch_fingerprint": "aa54a23e667cf5a850d3df99d4e2ebb64d3080fee81fdd5398bede8ea61951ee",
   "evidence": {
@@ -738,7 +737,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000068.json b/manifests/batches/mathlib/000068.json
index 702839d57085cccc9c4c1f0963f1bdedeb70bdee..b81753e74b2a051bf5bd7671900846591cfb9e89 100644
--- a/manifests/batches/mathlib/000068.json
+++ b/manifests/batches/mathlib/000068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000068",
   "batch_fingerprint": "7aa234cf219767cbe79dad5831d86a08c36c82afc150dd264065091af9f1cb69",
   "evidence": {
@@ -80,15 +79,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000068-0000-59d6e040375cd66f.parquet",
-      "sha256": "59d6e040375cd66fd069446e3b71217c213b3a23b4d194a893d8065a2da45cd0",
-      "bytes": 60698,
-      "rows": 2,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PresheafOfModules.pushforward_map_app_apply",
     "mathlib:PresheafOfModules.pushforward_obj_map_apply"
@@ -96,5 +87,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean\",null,null,\"PresheafOfModules.pushforward_map_app_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean\",null,null,\"PresheafOfModules.pushforward_obj_map_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60698,
+      "path": "data/train/p41/mathlib-000068-0000-59d6e040375cd66f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "59d6e040375cd66fd069446e3b71217c213b3a23b4d194a893d8065a2da45cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000069.json b/manifests/batches/mathlib/000069.json
index 95059630641a73aba3341dd7b2d2c5f052132c63..a51ac1268330392432d8bb55a0ff8fcfaaa3b6b0 100644
--- a/manifests/batches/mathlib/000069.json
+++ b/manifests/batches/mathlib/000069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000069",
   "batch_fingerprint": "c75be2dc73432986e333ab036ea08df9933688c1a5370c7d884f70e7b2f72d61",
   "evidence": {
@@ -1112,22 +1111,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000069-0000-f7c489aafa4d078a.parquet",
-      "sha256": "f7c489aafa4d078a0b58960db1f4e96d74347b2592a3e932b8fb0617ece9cbe1",
-      "bytes": 82977,
-      "rows": 3,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    },
-    {
-      "path": "data/dev/mathlib-000069-0000-489bb6a27886e1dc.parquet",
-      "sha256": "489bb6a27886e1dc88896e946552e30df04c1c636abc6b329f5abda6cd3773f6",
-      "bytes": 135514,
-      "rows": 4,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PresheafOfModules.sheafificationAdjunction_unit_app_hom",
     "mathlib:PresheafOfModules.sheafificationHomEquiv_hom",
@@ -1137,5 +1121,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafification.lean\",null,null,\"PresheafOfModules.sheafificationAdjunction_unit_app_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafification.lean\",null,null,\"PresheafOfModules.sheafificationHomEquiv_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafification.lean\",null,null,\"PresheafOfModules.toSheaf_map_sheafificationHomEquiv_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82977,
+      "path": "data/train/p30/mathlib-000069-0000-f7c489aafa4d078a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f7c489aafa4d078a0b58960db1f4e96d74347b2592a3e932b8fb0617ece9cbe1"
+    },
+    {
+      "bytes": 135514,
+      "path": "data/dev/p30/mathlib-000069-0000-489bb6a27886e1dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "489bb6a27886e1dc88896e946552e30df04c1c636abc6b329f5abda6cd3773f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000070.json b/manifests/batches/mathlib/000070.json
index 1f4735655e70a7bd010c1b9725080175db5bba42..affb0cb50ae111014ad0a874f4b2a4614bf801a5 100644
--- a/manifests/batches/mathlib/000070.json
+++ b/manifests/batches/mathlib/000070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000070",
   "batch_fingerprint": "cafed4ea968cc3561bf7b56ee5cded001c0ec7fb564f6376904628ffa4d3e69a",
   "evidence": {
@@ -162,7 +161,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000071.json b/manifests/batches/mathlib/000071.json
index c253ea7aa31887ec354142cea429e85ae25ea1c6..c988b272460df97c0add3dd187c690d8ab908b03 100644
--- a/manifests/batches/mathlib/000071.json
+++ b/manifests/batches/mathlib/000071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000071",
   "batch_fingerprint": "4b4c89df63e183fd73b436763b822b53ac99ccccf673175b0a6432acf38a6714",
   "evidence": {
@@ -216,15 +215,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000071-0000-f9e569ab2adfe5df.parquet",
-      "sha256": "f9e569ab2adfe5df60d460af92b85468cd13c185236825e6a64509cdb6e5a7de",
-      "bytes": 61489,
-      "rows": 6,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SheafOfModules.freeHomEquiv_freeMap",
     "mathlib:SheafOfModules.freeHomEquiv_symm_comp",
@@ -236,5 +227,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Sheaf/Free.lean\",null,null,\"SheafOfModules.freeHomEquiv_freeMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Sheaf/Free.lean\",null,null,\"SheafOfModules.freeHomEquiv_symm_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Sheaf/Free.lean\",null,null,\"SheafOfModules.sectionMap_freeMap_freeSection\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61489,
+      "path": "data/train/p70/mathlib-000071-0000-f9e569ab2adfe5df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f9e569ab2adfe5df60d460af92b85468cd13c185236825e6a64509cdb6e5a7de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000072.json b/manifests/batches/mathlib/000072.json
index 1cdd101bb1fa7691bdc1d580e1021c9d259eebd4..2aa42a10a4229ec07b77f42622db00af4a1f4777 100644
--- a/manifests/batches/mathlib/000072.json
+++ b/manifests/batches/mathlib/000072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000072",
   "batch_fingerprint": "9cb445957e41721b20ab46d5102dab15d51e09a3201b6adb6d09c0d5a8322f01",
   "evidence": {
@@ -62,19 +61,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000072-0000-17558c59a52af7f3.parquet",
-      "sha256": "17558c59a52af7f3f33b72d2028446005bb91b32f188414fa526746d97b42187",
-      "bytes": 94265,
-      "rows": 2,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PresheafOfModules.isSheaf_of_isLimit"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/ModuleCat/Sheaf/Limits.lean\",null,null,\"PresheafOfModules.isSheaf_of_isLimit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94265,
+      "path": "data/train/pf7/mathlib-000072-0000-17558c59a52af7f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "17558c59a52af7f3f33b72d2028446005bb91b32f188414fa526746d97b42187"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000073.json b/manifests/batches/mathlib/000073.json
index 49a83b9f49f5edd851c20fa1efef2e26f9d3d652..031dfc65828ecfe1431d1ee7ac0c70dbf6a2d711 100644
--- a/manifests/batches/mathlib/000073.json
+++ b/manifests/batches/mathlib/000073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000073",
   "batch_fingerprint": "3c431e22161f88bd016534e23e3594e839536ff081633c8aebe75c52f8acca19",
   "evidence": {
@@ -228,7 +227,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000074.json b/manifests/batches/mathlib/000074.json
index c5e332fa05ee20c3790cfbd634de65c64455c225..86717555cfa700a20099a6784026daba72144c15 100644
--- a/manifests/batches/mathlib/000074.json
+++ b/manifests/batches/mathlib/000074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000074",
   "batch_fingerprint": "60cb340d849bfcf767cd591efec372a0a6fc9fef77492ebaf11d6b644d1635a0",
   "evidence": {
@@ -458,15 +457,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000074-0000-3fa617ec82c16e75.parquet",
-      "sha256": "3fa617ec82c16e7588eb4da6f3f21bc2870107cc7bcee85a82d5a8baa84b4458",
-      "bytes": 49718,
-      "rows": 5,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonCat.Colimits.cocone_naturality",
     "mathlib:MonCat.Colimits.cocone_naturality_components"
@@ -474,5 +465,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/MonCat/Colimits.lean\",null,null,\"MonCat.Colimits.cocone_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/MonCat/Colimits.lean\",null,null,\"MonCat.Colimits.cocone_naturality_components\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49718,
+      "path": "data/train/p75/mathlib-000074-0000-3fa617ec82c16e75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3fa617ec82c16e7588eb4da6f3f21bc2870107cc7bcee85a82d5a8baa84b4458"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000075.json b/manifests/batches/mathlib/000075.json
index da89dca862d81a8b0303eb151c46088be4a2ac43..135440977eabafcd18d128d6742aae2772ad8abb 100644
--- a/manifests/batches/mathlib/000075.json
+++ b/manifests/batches/mathlib/000075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000075",
   "batch_fingerprint": "885fca2316ddf74650d70a58f3391d68226d855c9b78dcf21cac4cf37b49328f",
   "evidence": {
@@ -273,22 +272,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000075-0000-c37c217d0fd19c56.parquet",
-      "sha256": "c37c217d0fd19c569787e6b04c8628bc73d4b9b09347aa4c2edb32a5b4c6d488",
-      "bytes": 243826,
-      "rows": 19,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/train/mathlib-000075-0001-960921a57bff16e8.parquet",
-      "sha256": "960921a57bff16e8aa117a5b45ea41502e8c72160d2700db3a50f3a9faab219b",
-      "bytes": 154937,
-      "rows": 8,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonCat.FilteredColimits.colimitMulAux_eq_of_rel_right",
     "mathlib:MonCat.FilteredColimits.colimit_mul_mk_eq",
@@ -298,5 +282,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/MonCat/FilteredColimits.lean\",null,null,\"MonCat.FilteredColimits.colimitMulAux_eq_of_rel_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/MonCat/FilteredColimits.lean\",null,null,\"MonCat.FilteredColimits.colimit_mul_mk_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/MonCat/FilteredColimits.lean\",null,null,\"MonCat.FilteredColimits.colimit_one_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243826,
+      "path": "data/train/p45/mathlib-000075-0000-c37c217d0fd19c56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c37c217d0fd19c569787e6b04c8628bc73d4b9b09347aa4c2edb32a5b4c6d488"
+    },
+    {
+      "bytes": 154937,
+      "path": "data/train/p45/mathlib-000075-0001-960921a57bff16e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "960921a57bff16e8aa117a5b45ea41502e8c72160d2700db3a50f3a9faab219b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000076.json b/manifests/batches/mathlib/000076.json
index 082d7566901e44860e1c5cfb5ecb03025bc5c5ba..a78b901316a4fc9e5f499d3ec976e2ced2bb7277 100644
--- a/manifests/batches/mathlib/000076.json
+++ b/manifests/batches/mathlib/000076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000076",
   "batch_fingerprint": "23e7630a86b472584d22df2703c94f923370298771fa24d6ebb7051f7e21f655",
   "evidence": {
@@ -1249,22 +1248,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000076-0000-6c6c78d57bc674b8.parquet",
-      "sha256": "6c6c78d57bc674b82e31fba5e8d9c7774b6102a9e5571c8be846ae93c4dee5a3",
-      "bytes": 48180,
-      "rows": 7,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/mathlib-000076-0000-09e0d02de79ea2b4.parquet",
-      "sha256": "09e0d02de79ea2b4755c448d2da92fc3ebb16274ecae340ec638b55cfcfa6078",
-      "bytes": 40762,
-      "rows": 1,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Iso.commRingIsoToRingEquiv_symm_toRingHom",
     "mathlib:CategoryTheory.Iso.commRingIsoToRingEquiv_toRingHom",
@@ -1276,5 +1260,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Basic.lean\",null,null,\"CategoryTheory.Iso.commRingIsoToRingEquiv_toRingHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Colimits.lean\",null,null,\"CommRingCat.Colimits.cocone_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Colimits.lean\",null,null,\"CommRingCat.Colimits.cocone_naturality_components\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48180,
+      "path": "data/train/p87/mathlib-000076-0000-6c6c78d57bc674b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6c6c78d57bc674b82e31fba5e8d9c7774b6102a9e5571c8be846ae93c4dee5a3"
+    },
+    {
+      "bytes": 40762,
+      "path": "data/dev/p87/mathlib-000076-0000-09e0d02de79ea2b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "09e0d02de79ea2b4755c448d2da92fc3ebb16274ecae340ec638b55cfcfa6078"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000077.json b/manifests/batches/mathlib/000077.json
index ce16f21fcfe2dbab3d16928743b2fbb5e8d03755..f4256caa933eb3f74b3820a80ceb6320b650832e 100644
--- a/manifests/batches/mathlib/000077.json
+++ b/manifests/batches/mathlib/000077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000077",
   "batch_fingerprint": "e78295d6eb30466423fec9e28385b4397fb0f22c9f2b2f66efa12a474a654089",
   "evidence": {
@@ -40,29 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000077-0000-4e5f68a90d801d3a.parquet",
-      "sha256": "4e5f68a90d801d3ae9d394f13510c2d9efa996cf7f91180066353092c5ecaa53",
-      "bytes": 40452,
-      "rows": 7,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/mathlib-000077-0000-6650115b303ccb54.parquet",
-      "sha256": "6650115b303ccb546a3bb53986dc933437764953ee44c636f420c53420484d84",
-      "bytes": 37646,
-      "rows": 2,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/mathlib-000077-0000-288f74cf5ee8c76a.parquet",
-      "sha256": "288f74cf5ee8c76a5da3969836cab357d9ef43d69b49cb777f1477b14f3fea19",
-      "bytes": 47552,
-      "rows": 3,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommRingCat.pushoutCocone_inl",
     "mathlib:CommRingCat.pushoutCocone_inr",
@@ -76,5 +53,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Constructions.lean\",null,null,\"CommRingCat.pushoutCocone_pt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Constructions.lean\",null,null,\"CommRingCat.subsingleton_of_isTerminal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Category/Ring/Instances.lean\",null,null,\"isLocalRingHom_of_iso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40452,
+      "path": "data/train/p0f/mathlib-000077-0000-4e5f68a90d801d3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4e5f68a90d801d3ae9d394f13510c2d9efa996cf7f91180066353092c5ecaa53"
+    },
+    {
+      "bytes": 37646,
+      "path": "data/dev/p0f/mathlib-000077-0000-6650115b303ccb54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6650115b303ccb546a3bb53986dc933437764953ee44c636f420c53420484d84"
+    },
+    {
+      "bytes": 47552,
+      "path": "data/internal_test/p0f/mathlib-000077-0000-288f74cf5ee8c76a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "288f74cf5ee8c76a5da3969836cab357d9ef43d69b49cb777f1477b14f3fea19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000078.json b/manifests/batches/mathlib/000078.json
index b953c3c3f4097252f26449acc554af2c30e91b2d..c2a04f1dc6be98df189fd35bebe97185dd4728e9 100644
--- a/manifests/batches/mathlib/000078.json
+++ b/manifests/batches/mathlib/000078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000078",
   "batch_fingerprint": "0da3ea89a52cc191712508be7b9615f2be6c466062eda37d6f02b3120b548f83",
   "evidence": {
@@ -348,15 +347,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000078-0000-869f90f604136ab4.parquet",
-      "sha256": "869f90f604136ab417ce966811c810b0f8fbb067999c3a37ea812b680c189281",
-      "bytes": 50498,
-      "rows": 6,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.ringChar_eq",
     "mathlib:RingHom.charP",
@@ -368,5 +359,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Algebra.lean\",null,null,\"RingHom.charP\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Algebra.lean\",null,null,\"charP_of_injective_ringHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Algebra.lean\",null,null,\"charZero_of_injective_ringHom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50498,
+      "path": "data/train/p81/mathlib-000078-0000-869f90f604136ab4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "869f90f604136ab417ce966811c810b0f8fbb067999c3a37ea812b680c189281"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000079.json b/manifests/batches/mathlib/000079.json
index 6671341ffa68af511cdcc558aebf5314e3fa9def..de52e6f1039012c42aa586d851ba8b9e9ccc8dc6 100644
--- a/manifests/batches/mathlib/000079.json
+++ b/manifests/batches/mathlib/000079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000079",
   "batch_fingerprint": "a8033b03e7885818d0df3a8cdc35dc2295666027681b0a44274b0b0c484ac9c5",
   "evidence": {
@@ -817,22 +816,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000079-0000-d96fa02282637c0e.parquet",
-      "sha256": "d96fa02282637c0e6da9a9261bd4ff29c013f9e7f032f8d163d0b7f4ecbac6eb",
-      "bytes": 64322,
-      "rows": 15,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/mathlib-000079-0000-2f4497b15123792a.parquet",
-      "sha256": "2f4497b15123792adf496e813b9264e55ac497c98e2ccde144afe396c8975a9f",
-      "bytes": 45526,
-      "rows": 2,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharP.char_ne_zero_of_finite",
     "mathlib:CharP.neg_one_pow_char",
@@ -850,5 +834,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Basic.lean\",null,null,\"add_pow_char_of_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Basic.lean\",null,null,\"add_pow_char_pow_of_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Basic.lean\",null,null,\"sub_pow_char_of_commute\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64322,
+      "path": "data/train/p65/mathlib-000079-0000-d96fa02282637c0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d96fa02282637c0e6da9a9261bd4ff29c013f9e7f032f8d163d0b7f4ecbac6eb"
+    },
+    {
+      "bytes": 45526,
+      "path": "data/internal_test/p65/mathlib-000079-0000-2f4497b15123792a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2f4497b15123792adf496e813b9264e55ac497c98e2ccde144afe396c8975a9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000080.json b/manifests/batches/mathlib/000080.json
index 0e78b84ed37ccfa7db3bcdfc2ff89a9f68314a7c..b70fd6342f7ce85c28936ec4c1f8ee757e8954c2 100644
--- a/manifests/batches/mathlib/000080.json
+++ b/manifests/batches/mathlib/000080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000080",
   "batch_fingerprint": "8f617c98493fb26f6a6f76b24f028f8c93b66f9a8ee33a72750537a703ed2ba8",
   "evidence": {
@@ -3236,29 +3235,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000080-0000-775de724d1ee968f.parquet",
-      "sha256": "775de724d1ee968f2f46af8057d1678c2df949677c59bccf5a4b38e84413f1b4",
-      "bytes": 85259,
-      "rows": 21,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/mathlib-000080-0000-8543a4e00122c140.parquet",
-      "sha256": "8543a4e00122c14003e775d9c75576696a961425f466d720536f2208f33cd267",
-      "bytes": 52773,
-      "rows": 4,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/mathlib-000080-0000-6cd29a6574b010a1.parquet",
-      "sha256": "6cd29a6574b010a11248e2cff94d3d6725f1e5d9b26a5d486e56eee2db8ec292",
-      "bytes": 36961,
-      "rows": 1,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharP.char_ne_one",
     "mathlib:CharP.exists'",
@@ -3296,5 +3273,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/ExpChar.lean\",null,null,\"iterateFrobenius_one_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/ExpChar.lean\",null,null,\"iterateFrobenius_zero_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/ExpChar.lean\",null,null,\"ringExpChar.eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85259,
+      "path": "data/train/pc2/mathlib-000080-0000-775de724d1ee968f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "775de724d1ee968f2f46af8057d1678c2df949677c59bccf5a4b38e84413f1b4"
+    },
+    {
+      "bytes": 52773,
+      "path": "data/dev/pc2/mathlib-000080-0000-8543a4e00122c140.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8543a4e00122c14003e775d9c75576696a961425f466d720536f2208f33cd267"
+    },
+    {
+      "bytes": 36961,
+      "path": "data/internal_test/pc2/mathlib-000080-0000-6cd29a6574b010a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6cd29a6574b010a11248e2cff94d3d6725f1e5d9b26a5d486e56eee2db8ec292"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000081.json b/manifests/batches/mathlib/000081.json
index 4081ab43b447cf973e8ae87a7f102a5aa4cf19f9..2bbafb3a7195387581d1abde844e378807fea0d7 100644
--- a/manifests/batches/mathlib/000081.json
+++ b/manifests/batches/mathlib/000081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000081",
   "batch_fingerprint": "e8c68764ee3e341bf4039bcbda2d220848da116db6d77ba240a88f67a01c5e88",
   "evidence": {
@@ -347,19 +346,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000081-0000-ee4903fcdab6460c.parquet",
-      "sha256": "ee4903fcdab6460c61380d9d5b0e0ab9cbe4460e8b5d4795bcb621892aae3bfd",
-      "bytes": 38429,
-      "rows": 2,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:not_ringChar_dvd_of_invertible"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Invertible.lean\",null,null,\"not_ringChar_dvd_of_invertible\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38429,
+      "path": "data/train/pe6/mathlib-000081-0000-ee4903fcdab6460c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ee4903fcdab6460c61380d9d5b0e0ab9cbe4460e8b5d4795bcb621892aae3bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000082.json b/manifests/batches/mathlib/000082.json
index 906322414cc33cba42a08223768063c738c65ba6..0e8d036314f31a39efa6e725d398075a3adc53b4 100644
--- a/manifests/batches/mathlib/000082.json
+++ b/manifests/batches/mathlib/000082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000082",
   "batch_fingerprint": "86d5b52638ebb6e17c35c3885307a65673cb9d4688375c4102c55cc7cc0ad4af",
   "evidence": {
@@ -960,15 +959,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000082-0000-11b982170f77d618.parquet",
-      "sha256": "11b982170f77d618247fdd4cb830cc5c64a2132519d9c473bade893344a90a40",
-      "bytes": 138227,
-      "rows": 36,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharP.quotient'",
     "mathlib:CharP.quotient_iff_le_ker_natCast",
@@ -990,5 +981,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/MixedCharZero.lean\",null,null,\"split_by_characteristic_localRing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Quotient.lean\",null,null,\"CharP.quotient'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Quotient.lean\",null,null,\"CharP.quotient_iff_le_ker_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138227,
+      "path": "data/train/pe0/mathlib-000082-0000-11b982170f77d618.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "11b982170f77d618247fdd4cb830cc5c64a2132519d9c473bade893344a90a40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000083.json b/manifests/batches/mathlib/000083.json
index 13d1870fffb356795eb4278e804f3cd57c5950f6..a750b877a4afcf3933b39da59f98f9dcca6330db 100644
--- a/manifests/batches/mathlib/000083.json
+++ b/manifests/batches/mathlib/000083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000083",
   "batch_fingerprint": "d486418d4a613d25260fd3d4e178c31b093545df30c36123a352f990ababb76a",
   "evidence": {
@@ -240,22 +239,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000083-0000-5e46854ca6b1c906.parquet",
-      "sha256": "5e46854ca6b1c906241ec37ff37d1de0b708eb3811adced947d86b21a3e27110",
-      "bytes": 65232,
-      "rows": 21,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/mathlib-000083-0000-a0e6105c5d5d14e0.parquet",
-      "sha256": "a0e6105c5d5d14e059a1bfbe968170c8976065ab02968f0c2dce2fb544fa6cfa",
-      "bytes": 55384,
-      "rows": 4,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharTwo.add_mul_self",
     "mathlib:CharTwo.add_self_eq_zero",
@@ -291,5 +275,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Two.lean\",null,null,\"CharTwo.sum_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Two.lean\",null,null,\"CharTwo.two_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharP/Two.lean\",null,null,\"neg_one_eq_one_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65232,
+      "path": "data/train/p4c/mathlib-000083-0000-5e46854ca6b1c906.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5e46854ca6b1c906241ec37ff37d1de0b708eb3811adced947d86b21a3e27110"
+    },
+    {
+      "bytes": 55384,
+      "path": "data/internal_test/p4c/mathlib-000083-0000-a0e6105c5d5d14e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a0e6105c5d5d14e059a1bfbe968170c8976065ab02968f0c2dce2fb544fa6cfa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000084.json b/manifests/batches/mathlib/000084.json
index 68d141b6bb864af9da489cf9f00759994f25072f..18a2f413c5d192f22df41f813c3439a89f077ff9 100644
--- a/manifests/batches/mathlib/000084.json
+++ b/manifests/batches/mathlib/000084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000084",
   "batch_fingerprint": "d3cf52e6175ca731fe981debcf773c18c368eebe8921ceafe97eb6a0d8009d76",
   "evidence": {
@@ -671,29 +670,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000084-0000-db32f24348105da4.parquet",
-      "sha256": "db32f24348105da46e5dfb36f2b30c1f5cf02f3434d43ce0b98c908a41b91980",
-      "bytes": 68873,
-      "rows": 21,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000084-0000-780627753932ca5a.parquet",
-      "sha256": "780627753932ca5af40931a061e27520cc450f2bf2335037f73c581b93dbea2c",
-      "bytes": 47241,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000084-0000-4b3adb2971447a11.parquet",
-      "sha256": "4b3adb2971447a11f74a03188b120451e6407935d51db010ae974c32fa54843e",
-      "bytes": 39560,
-      "rows": 2,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.cast_eq_one",
     "mathlib:Nat.cast_eq_zero",
@@ -731,5 +708,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Lemmas.lean\",null,null,\"sub_half\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Lemmas.lean\",null,null,\"units_ne_neg_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Lemmas.lean\",null,null,\"zero_eq_bit0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68873,
+      "path": "data/train/p90/mathlib-000084-0000-db32f24348105da4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "db32f24348105da46e5dfb36f2b30c1f5cf02f3434d43ce0b98c908a41b91980"
+    },
+    {
+      "bytes": 47241,
+      "path": "data/dev/p90/mathlib-000084-0000-780627753932ca5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "780627753932ca5af40931a061e27520cc450f2bf2335037f73c581b93dbea2c"
+    },
+    {
+      "bytes": 39560,
+      "path": "data/internal_test/p90/mathlib-000084-0000-4b3adb2971447a11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4b3adb2971447a11f74a03188b120451e6407935d51db010ae974c32fa54843e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000085.json b/manifests/batches/mathlib/000085.json
index 9398dea891c74195c1c960b895b5ebfdc63dfa74..13deb549d31fd760349fffea37b236030fb9df83 100644
--- a/manifests/batches/mathlib/000085.json
+++ b/manifests/batches/mathlib/000085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000085",
   "batch_fingerprint": "9199776900a498243423a85e9f1b28aabdf27370e145b0012c3c772c8c527f45",
   "evidence": {
@@ -229,22 +228,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000085-0000-d9199f26abebf080.parquet",
-      "sha256": "d9199f26abebf0801735e740d251449de883cebf0ac4e110f400db1e76dfc69a",
-      "bytes": 71204,
-      "rows": 9,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000085-0000-e029a02cc4bd97f3.parquet",
-      "sha256": "e029a02cc4bd97f3dbd4d2543bff222e95c33eec8d1b52173a12589cbd2ccd6e",
-      "bytes": 45628,
-      "rows": 2,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubgroup.nsmul_mem_zmultiples_iff_exists_sub_div",
     "mathlib:QuotientAddGroup.zmultiples_nsmul_eq_nsmul_iff",
@@ -254,5 +238,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Quotient.lean\",null,null,\"AddSubgroup.nsmul_mem_zmultiples_iff_exists_sub_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Quotient.lean\",null,null,\"QuotientAddGroup.zmultiples_nsmul_eq_nsmul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CharZero/Quotient.lean\",null,null,\"QuotientAddGroup.zmultiples_zsmul_eq_zsmul_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71204,
+      "path": "data/train/pa6/mathlib-000085-0000-d9199f26abebf080.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d9199f26abebf0801735e740d251449de883cebf0ac4e110f400db1e76dfc69a"
+    },
+    {
+      "bytes": 45628,
+      "path": "data/internal_test/pa6/mathlib-000085-0000-e029a02cc4bd97f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e029a02cc4bd97f3dbd4d2543bff222e95c33eec8d1b52173a12589cbd2ccd6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000086.json b/manifests/batches/mathlib/000086.json
index f311fadd33cb4cf677f2f80f18594b6bd901745f..d0b00163523bfc906ff6cae88499025e43b0f753 100644
--- a/manifests/batches/mathlib/000086.json
+++ b/manifests/batches/mathlib/000086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000086",
   "batch_fingerprint": "1ed0c2a6cc4c8d59daef2ac12e9fbc576746b38178e101065325be100ef5422d",
   "evidence": {
@@ -2717,29 +2716,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000086-0000-ecef2642114eb410.parquet",
-      "sha256": "ecef2642114eb410ea1be3b5276470db29ae0e4f8e5aea4ffec3e45e8ffa0007",
-      "bytes": 63933,
-      "rows": 11,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000086-0000-66117421638bc7ea.parquet",
-      "sha256": "66117421638bc7eaf9380602f08fc70744ce07bc441ccc6cd4e2cd3ea101d1a4",
-      "bytes": 48008,
-      "rows": 4,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000086-0000-410132382416cec5.parquet",
-      "sha256": "410132382416cec59af83b4dba3843b56e684557b25e950f94ef9c5e65ad3455",
-      "bytes": 56791,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GeneralizedContinuedFraction.convergents_succ",
     "mathlib:GeneralizedContinuedFraction.exists_int_eq_of_part_denom",
@@ -2759,5 +2736,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean\",null,null,\"GeneralizedContinuedFraction.of_one_le_get?_part_denom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean\",null,null,\"GeneralizedContinuedFraction.of_part_num_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean\",null,null,\"GeneralizedContinuedFraction.zero_le_of_denom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63933,
+      "path": "data/train/pf2/mathlib-000086-0000-ecef2642114eb410.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ecef2642114eb410ea1be3b5276470db29ae0e4f8e5aea4ffec3e45e8ffa0007"
+    },
+    {
+      "bytes": 48008,
+      "path": "data/dev/pf2/mathlib-000086-0000-66117421638bc7ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "66117421638bc7eaf9380602f08fc70744ce07bc441ccc6cd4e2cd3ea101d1a4"
+    },
+    {
+      "bytes": 56791,
+      "path": "data/internal_test/pf2/mathlib-000086-0000-410132382416cec5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "410132382416cec59af83b4dba3843b56e684557b25e950f94ef9c5e65ad3455"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000087.json b/manifests/batches/mathlib/000087.json
index 7f2a03c8f3bf16824962bfd8747c416e7aa175ed..8947d8ed7257552016ae1886185090fccc67288d 100644
--- a/manifests/batches/mathlib/000087.json
+++ b/manifests/batches/mathlib/000087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000087",
   "batch_fingerprint": "da28ca34bc604cd69ba52f12d6fdc0be878f291c8b3e29a2ec8ea9fad997d1af",
   "evidence": {
@@ -215,15 +214,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000087-0000-a476c96454237e69.parquet",
-      "sha256": "a476c96454237e69a165cd24a60341b8d692572e6b6a80007904b4052981d87c",
-      "bytes": 54478,
-      "rows": 11,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GeneralizedContinuedFraction.IntFractPair.stream_isSeq",
     "mathlib:GeneralizedContinuedFraction.compExactValue_correctness_of_stream_eq_some_aux_comp",
@@ -233,5 +224,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Basic.lean\",null,null,\"GeneralizedContinuedFraction.IntFractPair.stream_isSeq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/CorrectnessTerminating.lean\",null,null,\"GeneralizedContinuedFraction.compExactValue_correctness_of_stream_eq_some_aux_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/CorrectnessTerminating.lean\",null,null,\"GeneralizedContinuedFraction.of_correctness_atTop_of_terminates\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54478,
+      "path": "data/train/p9a/mathlib-000087-0000-a476c96454237e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a476c96454237e69a165cd24a60341b8d692572e6b6a80007904b4052981d87c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000088.json b/manifests/batches/mathlib/000088.json
index 2cb92ff951acb8403816f22943a7dd089f4dc2e3..3160c1a343d4cced081be33d1d00c647cc3bd9c5 100644
--- a/manifests/batches/mathlib/000088.json
+++ b/manifests/batches/mathlib/000088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000088",
   "batch_fingerprint": "3b796d2a1a24c80569a310422e413aa60819ba0983eac798e81c48d99ed5ebe7",
   "evidence": {
@@ -1595,29 +1594,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000088-0000-7531f1938a95c778.parquet",
-      "sha256": "7531f1938a95c778eae2e93fdaebbb0990c62a4a76dc31c7f415b775b9062a4c",
-      "bytes": 165400,
-      "rows": 49,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000088-0000-03796637d687011a.parquet",
-      "sha256": "03796637d687011a309a1a50db2aaa49b2fe4628f90ef20a41b9ecbf62bdb54b",
-      "bytes": 50531,
-      "rows": 5,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000088-0000-2d68b8945d333866.parquet",
-      "sha256": "2d68b8945d333866e30e49fa014f00dcd8ee04589b91d50f489a117395d6c593",
-      "bytes": 45320,
-      "rows": 1,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GeneralizedContinuedFraction.IntFractPair.coe_of_rat_eq",
     "mathlib:GeneralizedContinuedFraction.IntFractPair.coe_stream'_rat_eq",
@@ -1663,5 +1640,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean\",null,null,\"GeneralizedContinuedFraction.of_s_head\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean\",null,null,\"GeneralizedContinuedFraction.of_s_head_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean\",null,null,\"GeneralizedContinuedFraction.of_terminatedAt_n_iff_succ_nth_intFractPair_stream_eq_none\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165400,
+      "path": "data/train/pff/mathlib-000088-0000-7531f1938a95c778.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "7531f1938a95c778eae2e93fdaebbb0990c62a4a76dc31c7f415b775b9062a4c"
+    },
+    {
+      "bytes": 50531,
+      "path": "data/dev/pff/mathlib-000088-0000-03796637d687011a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "03796637d687011a309a1a50db2aaa49b2fe4628f90ef20a41b9ecbf62bdb54b"
+    },
+    {
+      "bytes": 45320,
+      "path": "data/internal_test/pff/mathlib-000088-0000-2d68b8945d333866.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2d68b8945d333866e30e49fa014f00dcd8ee04589b91d50f489a117395d6c593"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000089.json b/manifests/batches/mathlib/000089.json
index f9e800aeff783dbfa59be8a6f9bc5d11af367db7..26b8247d58b10f464174129a6f209f27b376d3f4 100644
--- a/manifests/batches/mathlib/000089.json
+++ b/manifests/batches/mathlib/000089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000089",
   "batch_fingerprint": "d6ccd531f999ac8f17085884c57262385efad9a968be744b9c3fc2517699a9bb",
   "evidence": {
@@ -1291,29 +1290,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000089-0000-f243218e20a2e1bd.parquet",
-      "sha256": "f243218e20a2e1bd1c71eb25c38a35463b5f134af47c17128dbad80608ccc5bb",
-      "bytes": 74455,
-      "rows": 12,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000089-0000-55948b0c4ac9f3e1.parquet",
-      "sha256": "55948b0c4ac9f3e11f9205dc10dcbec213f86b29aa767d9de1cc3d10956c71ee",
-      "bytes": 58122,
-      "rows": 2,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000089-0000-8cec60d6c8b0aa06.parquet",
-      "sha256": "8cec60d6c8b0aa06a4ae2167307c755a88a9888cfc93207659807824d2bf8705",
-      "bytes": 54269,
-      "rows": 4,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuedFraction.convergents_eq_convergents'",
     "mathlib:GeneralizedContinuedFraction.continuantsAux_recurrence",
@@ -1335,5 +1312,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean\",null,null,\"GeneralizedContinuedFraction.squashGCF_nth_of_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean\",null,null,\"GeneralizedContinuedFraction.squashSeq_eq_self_of_terminated\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean\",null,null,\"GeneralizedContinuedFraction.squashSeq_nth_of_not_terminated\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74455,
+      "path": "data/train/p34/mathlib-000089-0000-f243218e20a2e1bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f243218e20a2e1bd1c71eb25c38a35463b5f134af47c17128dbad80608ccc5bb"
+    },
+    {
+      "bytes": 58122,
+      "path": "data/dev/p34/mathlib-000089-0000-55948b0c4ac9f3e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "55948b0c4ac9f3e11f9205dc10dcbec213f86b29aa767d9de1cc3d10956c71ee"
+    },
+    {
+      "bytes": 54269,
+      "path": "data/internal_test/p34/mathlib-000089-0000-8cec60d6c8b0aa06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8cec60d6c8b0aa06a4ae2167307c755a88a9888cfc93207659807824d2bf8705"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000090.json b/manifests/batches/mathlib/000090.json
index fa0971c7359d494d481c9d80f72584f005a2588d..eede87bf631f252f8ea154bb9b91cb058be4257b 100644
--- a/manifests/batches/mathlib/000090.json
+++ b/manifests/batches/mathlib/000090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000090",
   "batch_fingerprint": "abf195288142291092a70288dd687041458ae904776d9bc07f1018cc2e0ee455",
   "evidence": {
@@ -459,29 +458,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000090-0000-c682f514518dd1ad.parquet",
-      "sha256": "c682f514518dd1ad9d559826d40790a157dfa4c7e71b1054ac3ba69beb96a678",
-      "bytes": 71064,
-      "rows": 24,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000090-0000-8b70181a25c5278c.parquet",
-      "sha256": "8b70181a25c5278c4a433173121eb5a879a5dd730e63f5bf4d305377c3a4d68d",
-      "bytes": 42442,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000090-0000-1987433b0ac409ce.parquet",
-      "sha256": "1987433b0ac409ce4a9223d361f450315b97cedff3c64f1a020f73cf1721fb6f",
-      "bytes": 45592,
-      "rows": 4,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GeneralizedContinuedFraction.continuantsAux_stable_of_terminated",
     "mathlib:GeneralizedContinuedFraction.continuantsAux_stable_step_of_terminated",
@@ -537,5 +514,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Translations.lean\",null,null,\"GeneralizedContinuedFraction.terminatedAt_iff_s_terminatedAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Translations.lean\",null,null,\"GeneralizedContinuedFraction.zeroth_convergent'_eq_h\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/ContinuedFractions/Translations.lean\",null,null,\"GeneralizedContinuedFraction.zeroth_convergent_eq_h\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71064,
+      "path": "data/train/p2f/mathlib-000090-0000-c682f514518dd1ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c682f514518dd1ad9d559826d40790a157dfa4c7e71b1054ac3ba69beb96a678"
+    },
+    {
+      "bytes": 42442,
+      "path": "data/dev/p2f/mathlib-000090-0000-8b70181a25c5278c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8b70181a25c5278c4a433173121eb5a879a5dd730e63f5bf4d305377c3a4d68d"
+    },
+    {
+      "bytes": 45592,
+      "path": "data/internal_test/p2f/mathlib-000090-0000-1987433b0ac409ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1987433b0ac409ce4a9223d361f450315b97cedff3c64f1a020f73cf1721fb6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000091.json b/manifests/batches/mathlib/000091.json
index b0f8b55591f508e5ff73892eae08375c5f8708c5..8403845439f31322fc1b58c6577586fc39e14570 100644
--- a/manifests/batches/mathlib/000091.json
+++ b/manifests/batches/mathlib/000091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000091",
   "batch_fingerprint": "50f8a39b52201dfd44f5e0dc008ed2e84f7b4c68c3837bf2e3c1d27f65d5a95f",
   "evidence": {
@@ -3821,29 +3820,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000091-0000-31f489e9fad27b10.parquet",
-      "sha256": "31f489e9fad27b106a108b349d860d41d789ff2e02451a76ce1f9b76cb6e98b2",
-      "bytes": 192413,
-      "rows": 53,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/mathlib-000091-0000-b7ffae6252f784fd.parquet",
-      "sha256": "b7ffae6252f784fd6e9e4aa1a4cf6e955933a4b2cec007d6c71adac8944d00e5",
-      "bytes": 49699,
-      "rows": 6,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000091-0000-205b49c0b357868f.parquet",
-      "sha256": "205b49c0b357868fb93846a80ab78881a1a21798a5dc69d12a6d254ff3a434f8",
-      "bytes": 52356,
-      "rows": 7,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cubic.C_mul_prod_X_sub_C_eq",
     "mathlib:Cubic.a_of_eq",
@@ -3935,5 +3912,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CubicDiscriminant.lean\",null,null,\"Cubic.splits_iff_card_roots\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CubicDiscriminant.lean\",null,null,\"Cubic.splits_iff_roots_eq_three\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/CubicDiscriminant.lean\",null,null,\"Cubic.toPoly_eq_zero_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192413,
+      "path": "data/train/p26/mathlib-000091-0000-31f489e9fad27b10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "31f489e9fad27b106a108b349d860d41d789ff2e02451a76ce1f9b76cb6e98b2"
+    },
+    {
+      "bytes": 49699,
+      "path": "data/dev/p26/mathlib-000091-0000-b7ffae6252f784fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b7ffae6252f784fd6e9e4aa1a4cf6e955933a4b2cec007d6c71adac8944d00e5"
+    },
+    {
+      "bytes": 52356,
+      "path": "data/internal_test/p26/mathlib-000091-0000-205b49c0b357868f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "205b49c0b357868fb93846a80ab78881a1a21798a5dc69d12a6d254ff3a434f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000092.json b/manifests/batches/mathlib/000092.json
index 1d2f95de120f816ada12c7ddaec20c26077b216b..708c532b3ca4b0632acf03697a7b6150bd62e930 100644
--- a/manifests/batches/mathlib/000092.json
+++ b/manifests/batches/mathlib/000092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000092",
   "batch_fingerprint": "f2b67933dab8ae44d90c68e2285b04fe459b170a8cf13dfee2d8c0ef4761b76f",
   "evidence": {
@@ -601,15 +600,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000092-0000-1e1b7cc7f5edb5fe.parquet",
-      "sha256": "1e1b7cc7f5edb5fef2d03a7c299fe87323e7b6f43d43e76e7bb45bd25a096b51",
-      "bytes": 80896,
-      "rows": 12,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.fromAddMonoid_of",
     "mathlib:DirectSum.fromAddMonoid_of_apply",
@@ -623,5 +614,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Basic.lean\",null,null,\"DirectSum.induction_on\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Basic.lean\",null,null,\"DirectSum.sum_univ_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Basic.lean\",null,null,\"DirectSum.toAddMonoid.unique\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80896,
+      "path": "data/train/pd7/mathlib-000092-0000-1e1b7cc7f5edb5fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1e1b7cc7f5edb5fef2d03a7c299fe87323e7b6f43d43e76e7bb45bd25a096b51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000093.json b/manifests/batches/mathlib/000093.json
index 369019c37c619d341ac9cf2c186e9c1c1ff454fd..1d283f82d17be48a1814576e2b576237b63153f1 100644
--- a/manifests/batches/mathlib/000093.json
+++ b/manifests/batches/mathlib/000093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000093",
   "batch_fingerprint": "b85916aa9d72d8f72775e1c6ae3d3883e0e197ff12a8c21b4073c6ab4e41a3c2",
   "evidence": {
@@ -502,22 +501,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000093-0000-0a5372154635d72c.parquet",
-      "sha256": "0a5372154635d72cea9ef1692911ec11e920fbabdb96b65b4a56cad9fc785c9d",
-      "bytes": 85964,
-      "rows": 11,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000093-0000-c9666cce92d4f00a.parquet",
-      "sha256": "c9666cce92d4f00a56f60a095fdcf9cb4831f9f63e5b858daf5e80e10f190b0e",
-      "bytes": 53517,
-      "rows": 2,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.Decomposition.inductionOn",
     "mathlib:DirectSum.decompose_coe",
@@ -535,5 +519,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Decomposition.lean\",null,null,\"DirectSum.decompose_of_mem_same\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Decomposition.lean\",null,null,\"DirectSum.degree_eq_of_mem_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Decomposition.lean\",null,null,\"DirectSum.sum_support_decompose\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85964,
+      "path": "data/train/pa3/mathlib-000093-0000-0a5372154635d72c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0a5372154635d72cea9ef1692911ec11e920fbabdb96b65b4a56cad9fc785c9d"
+    },
+    {
+      "bytes": 53517,
+      "path": "data/internal_test/pa3/mathlib-000093-0000-c9666cce92d4f00a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c9666cce92d4f00a56f60a095fdcf9cb4831f9f63e5b858daf5e80e10f190b0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000094.json b/manifests/batches/mathlib/000094.json
index fe021275416df34b29f428a998de3d7d4f4f557e..86247b1d9d2708ef43b8c51becaed1489bf16c8e 100644
--- a/manifests/batches/mathlib/000094.json
+++ b/manifests/batches/mathlib/000094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000094",
   "batch_fingerprint": "1ff3d1e52bdd8e5af85ef8089f86e03c369f30c927ebc390c60bfa5830f89772",
   "evidence": {
@@ -1462,15 +1461,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000094-0000-f039105add578851.parquet",
-      "sha256": "f039105add5788517c07bdc324463385f28f61f081163c62500593c419746006",
-      "bytes": 198738,
-      "rows": 18,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.coe_mul_apply",
     "mathlib:DirectSum.coe_mul_of_apply",
@@ -1490,5 +1481,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/LinearMap.lean\",null,null,\"LinearMap.mapsTo_biSup_of_mapsTo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/LinearMap.lean\",null,null,\"LinearMap.trace_eq_sum_trace_restrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/LinearMap.lean\",null,null,\"LinearMap.trace_eq_sum_trace_restrict'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198738,
+      "path": "data/train/pa3/mathlib-000094-0000-f039105add578851.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f039105add5788517c07bdc324463385f28f61f081163c62500593c419746006"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000095.json b/manifests/batches/mathlib/000095.json
index 5ebcdd3715a7f8093be129dc5cae874c2139f0fe..d066257ef9e7570d31049af737c7526aebdcc791 100644
--- a/manifests/batches/mathlib/000095.json
+++ b/manifests/batches/mathlib/000095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000095",
   "batch_fingerprint": "83e6a858e006b6e952280a82245620994236a773e65931a77587e8f21ab564ac",
   "evidence": {
@@ -1532,22 +1531,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000095-0000-496c4d70de567470.parquet",
-      "sha256": "496c4d70de567470444209a2aa27b246cf543cd67298e962f9e552296779305c",
-      "bytes": 267440,
-      "rows": 37,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/mathlib-000095-0000-60c26d13ba4edd74.parquet",
-      "sha256": "60c26d13ba4edd7490979c48cf501df8bed277a7fe88922007e8494ead0cd6a9",
-      "bytes": 49466,
-      "rows": 6,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.IsInternal.collectedBasis_coe",
     "mathlib:DirectSum.IsInternal.collectedBasis_mem",
@@ -1587,5 +1571,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Ring.lean\",null,null,\"DirectSum.mul_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Ring.lean\",null,null,\"DirectSum.of_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DirectSum/Ring.lean\",null,null,\"DirectSum.one_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267440,
+      "path": "data/train/pa6/mathlib-000095-0000-496c4d70de567470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "496c4d70de567470444209a2aa27b246cf543cd67298e962f9e552296779305c"
+    },
+    {
+      "bytes": 49466,
+      "path": "data/dev/pa6/mathlib-000095-0000-60c26d13ba4edd74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "60c26d13ba4edd7490979c48cf501df8bed277a7fe88922007e8494ead0cd6a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000096.json b/manifests/batches/mathlib/000096.json
index 4fe842bbb34791a567bef013a0351231038c7c95..a81ed5833e05fc462df7fbcbe80d19ee749d6b00 100644
--- a/manifests/batches/mathlib/000096.json
+++ b/manifests/batches/mathlib/000096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000096",
   "batch_fingerprint": "95a861ef2aff034a6977b2f0cc91afe831b1fe64d06f011411e897bd51d6a9c5",
   "evidence": {
@@ -512,29 +511,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000096-0000-95b2c13690e69153.parquet",
-      "sha256": "95b2c13690e69153574ca862fd8cbba510e279129065621724598d0efc956358",
-      "bytes": 65062,
-      "rows": 20,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/mathlib-000096-0000-52b36689739b54e9.parquet",
-      "sha256": "52b36689739b54e905d2ba5fc140207ad084f8081aef2a20c07315c6cd826f5a",
-      "bytes": 38563,
-      "rows": 1,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000096-0000-f27b7b5301b5e320.parquet",
-      "sha256": "f27b7b5301b5e3208799018015fa559f21b47ca252cdec6453fcd653bdcf7e3a",
-      "bytes": 25979,
-      "rows": 1,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Dvd.intro_left",
     "mathlib:dvd_iff_exists_eq_mul_left",
@@ -560,5 +537,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Divisibility/Basic.lean\",null,null,\"pow_dvd_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Divisibility/Prod.lean\",null,null,\"pi_dvd_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Divisibility/Prod.lean\",null,null,\"prod_dvd_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65062,
+      "path": "data/train/pb0/mathlib-000096-0000-95b2c13690e69153.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "95b2c13690e69153574ca862fd8cbba510e279129065621724598d0efc956358"
+    },
+    {
+      "bytes": 38563,
+      "path": "data/dev/pb0/mathlib-000096-0000-52b36689739b54e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "52b36689739b54e905d2ba5fc140207ad084f8081aef2a20c07315c6cd826f5a"
+    },
+    {
+      "bytes": 25979,
+      "path": "data/internal_test/pb0/mathlib-000096-0000-f27b7b5301b5e320.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f27b7b5301b5e3208799018015fa559f21b47ca252cdec6453fcd653bdcf7e3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000097.json b/manifests/batches/mathlib/000097.json
index 38474b3e3ca77fc40912f522924d3bc65205d462..9b19e6042fb0511a63af718a54422411c33c2850 100644
--- a/manifests/batches/mathlib/000097.json
+++ b/manifests/batches/mathlib/000097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000097",
   "batch_fingerprint": "a88af177579cc293fdb48405ff39f668333895aa5aab5878b76f9962c648cc97",
   "evidence": {
@@ -744,22 +743,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000097-0000-82f5c543de885e55.parquet",
-      "sha256": "82f5c543de885e55c9968e061d4199c938beb919389665d84ecd110e0c7d5a22",
-      "bytes": 175548,
-      "rows": 44,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/mathlib-000097-0000-8bdcb3dc7eb55d43.parquet",
-      "sha256": "8bdcb3dc7eb55d43a5f2b49e3d13592b66b57bbbf04231df51d4140d318a0d22",
-      "bytes": 47185,
-      "rows": 3,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DualNumber.algHom_ext",
     "mathlib:DualNumber.algHom_ext'",
@@ -821,5 +805,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DualNumber.lean\",null,null,\"DualNumber.lift_apply_inl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DualNumber.lean\",null,null,\"DualNumber.lift_op_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/DualNumber.lean\",null,null,\"DualNumber.lift_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175548,
+      "path": "data/train/p12/mathlib-000097-0000-82f5c543de885e55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "82f5c543de885e55c9968e061d4199c938beb919389665d84ecd110e0c7d5a22"
+    },
+    {
+      "bytes": 47185,
+      "path": "data/dev/p12/mathlib-000097-0000-8bdcb3dc7eb55d43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8bdcb3dc7eb55d43a5f2b49e3d13592b66b57bbbf04231df51d4140d318a0d22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000098.json b/manifests/batches/mathlib/000098.json
index 447976f148948279e278f9c584e59ab5b03e4dc7..a896dea1fd14b968c0e7a1a8cf984f332146713e 100644
--- a/manifests/batches/mathlib/000098.json
+++ b/manifests/batches/mathlib/000098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000098",
   "batch_fingerprint": "fd25a7f7f77b9fd00e79d20c68c2b5c2d26c24d696e51201226263cb3d2cba22",
   "evidence": {
@@ -1978,22 +1977,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000098-0000-cf4e6a931d308011.parquet",
-      "sha256": "cf4e6a931d308011f99b16a635f9d9b7b905a5f066ef7431f6042d326e0e1a55",
-      "bytes": 51468,
-      "rows": 11,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000098-0000-e233157e85cfdcec.parquet",
-      "sha256": "e233157e85cfdcec16edbf3cfc4e465047d60b2af4cff84a9026c8d17b5b65cc",
-      "bytes": 44157,
-      "rows": 2,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanDomain.div_self",
     "mathlib:EuclideanDomain.dvd_mod_iff",
@@ -2019,5 +2003,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Basic.lean\",null,null,\"EuclideanDomain.mul_div_cancel'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Basic.lean\",null,null,\"EuclideanDomain.xgcdAux_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Basic.lean\",null,null,\"EuclideanDomain.zero_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51468,
+      "path": "data/train/pb3/mathlib-000098-0000-cf4e6a931d308011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cf4e6a931d308011f99b16a635f9d9b7b905a5f066ef7431f6042d326e0e1a55"
+    },
+    {
+      "bytes": 44157,
+      "path": "data/internal_test/pb3/mathlib-000098-0000-e233157e85cfdcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e233157e85cfdcec16edbf3cfc4e465047d60b2af4cff84a9026c8d17b5b65cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000099.json b/manifests/batches/mathlib/000099.json
index 092b9547070151a9ab218d22019b7754e32cbd48..6bfc20e2acbf9aa2d5bd123f3e20efc477687259 100644
--- a/manifests/batches/mathlib/000099.json
+++ b/manifests/batches/mathlib/000099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000099",
   "batch_fingerprint": "f85242349e2d69bb310c76e5dbc7e200ad007b28d673910d9f2ecd2523400c59",
   "evidence": {
@@ -712,29 +711,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000099-0000-72fcca776be779ca.parquet",
-      "sha256": "72fcca776be779ca02a83807d0bd1634faea67151ab71fc9de5e5a1e6b9c64b9",
-      "bytes": 61492,
-      "rows": 18,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/mathlib-000099-0000-ea3cad0de6dba791.parquet",
-      "sha256": "ea3cad0de6dba791928eace3b6af74fa229a5ee8dbc99d05da164254ea01e125",
-      "bytes": 32861,
-      "rows": 2,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000099-0000-d6f0e12db50f142c.parquet",
-      "sha256": "d6f0e12db50f142c091153f95dcece36265ced17c7058712d501311361c88974",
-      "bytes": 46287,
-      "rows": 2,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanDomain.GCD.induction",
     "mathlib:EuclideanDomain.div_add_mod'",
@@ -764,5 +741,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Defs.lean\",null,null,\"EuclideanDomain.val_dvd_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Defs.lean\",null,null,\"EuclideanDomain.xgcdAux_rec\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/EuclideanDomain/Defs.lean\",null,null,\"EuclideanDomain.xgcd_zero_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61492,
+      "path": "data/train/pf4/mathlib-000099-0000-72fcca776be779ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "72fcca776be779ca02a83807d0bd1634faea67151ab71fc9de5e5a1e6b9c64b9"
+    },
+    {
+      "bytes": 32861,
+      "path": "data/dev/pf4/mathlib-000099-0000-ea3cad0de6dba791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ea3cad0de6dba791928eace3b6af74fa229a5ee8dbc99d05da164254ea01e125"
+    },
+    {
+      "bytes": 46287,
+      "path": "data/internal_test/pf4/mathlib-000099-0000-d6f0e12db50f142c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d6f0e12db50f142c091153f95dcece36265ced17c7058712d501311361c88974"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000100.json b/manifests/batches/mathlib/000100.json
index c7a1ecf8d57e7ccede6ba6ad1813f6c39313620e..9053c6c5c1f8e27ee2b32aaba92f21db7665c2f3 100644
--- a/manifests/batches/mathlib/000100.json
+++ b/manifests/batches/mathlib/000100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000100",
   "batch_fingerprint": "862c1dd70032cc79c8b99bde5d806cb3997bca1208297ef151181e076015824e",
   "evidence": {
@@ -609,29 +608,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000100-0000-d72b0b9576ccd9b1.parquet",
-      "sha256": "d72b0b9576ccd9b118a143c45e20a0ff7e32a57777c7ed00da70b2efe85a4ec8",
-      "bytes": 62579,
-      "rows": 22,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/mathlib-000100-0000-eb87f37c826993e2.parquet",
-      "sha256": "eb87f37c826993e272e18f4e81bb3008970ae06416dcced61eddcdf2005e6c46",
-      "bytes": 37635,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/mathlib-000100-0000-0199217216203c1b.parquet",
-      "sha256": "0199217216203c1bfe9cd4a40ee2e9e8b9c4037b8a2353ae69c7948040ae8ee2",
-      "bytes": 41559,
-      "rows": 5,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.div_sub_div",
     "mathlib:Commute.inv_add_inv",
@@ -695,5 +672,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Field/Basic.lean\",null,null,\"sub_div'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Field/Defs.lean\",null,null,\"NNRat.smul_one_eq_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Field/Defs.lean\",null,null,\"Rat.smul_one_eq_cast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62579,
+      "path": "data/train/p1d/mathlib-000100-0000-d72b0b9576ccd9b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "d72b0b9576ccd9b118a143c45e20a0ff7e32a57777c7ed00da70b2efe85a4ec8"
+    },
+    {
+      "bytes": 37635,
+      "path": "data/dev/p1d/mathlib-000100-0000-eb87f37c826993e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eb87f37c826993e272e18f4e81bb3008970ae06416dcced61eddcdf2005e6c46"
+    },
+    {
+      "bytes": 41559,
+      "path": "data/internal_test/p1d/mathlib-000100-0000-0199217216203c1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0199217216203c1bfe9cd4a40ee2e9e8b9c4037b8a2353ae69c7948040ae8ee2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000101.json b/manifests/batches/mathlib/000101.json
index 5fa5df233e6793b54249b6e47d3bdba76454c5b5..061448227d24d91e4d9607df5d121f4785904604 100644
--- a/manifests/batches/mathlib/000101.json
+++ b/manifests/batches/mathlib/000101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000101",
   "batch_fingerprint": "c5ebd69af55788b9e63bfbcb654c35bf4ed1215e5eae65a198ae285377b9b09a",
   "evidence": {
@@ -261,7 +260,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000102.json b/manifests/batches/mathlib/000102.json
index 3441b328ef1f89277d7af65bc5404930ec76b4d0..1facf7b0f31ef9e48f880692fc48288058ae2485 100644
--- a/manifests/batches/mathlib/000102.json
+++ b/manifests/batches/mathlib/000102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000102",
   "batch_fingerprint": "9753d41126e5f9d80fb10b747e651e132ddbd75b054feacbb85beb010702853c",
   "evidence": {
@@ -174,19 +173,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000102-0000-92be33fb637200ab.parquet",
-      "sha256": "92be33fb637200ab4060d65293da4b9e986cdf343873264d388e45f949f03ac0",
-      "bytes": 29894,
-      "rows": 1,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Odd.neg_one_zpow"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Field/Power.lean\",null,null,\"Odd.neg_one_zpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 29894,
+      "path": "data/train/p74/mathlib-000102-0000-92be33fb637200ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "92be33fb637200ab4060d65293da4b9e986cdf343873264d388e45f949f03ac0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000103.json b/manifests/batches/mathlib/000103.json
index 67f9af563f0e30499f6a29a5b4aba1b9aeb00567..c4b156e8cb7c0a621ae5600bfc37964382c11c86 100644
--- a/manifests/batches/mathlib/000103.json
+++ b/manifests/batches/mathlib/000103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000103",
   "batch_fingerprint": "e16972a413c22e341b463a3f7d31655cf3887182958f9d44ed7f1306e73fb414",
   "evidence": {
@@ -2602,7 +2601,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000104.json b/manifests/batches/mathlib/000104.json
index 59335a416e636768e2f1921ecc5c65fa2c3b15bc..b010059febe2a7e289e0dccd6b5238c72931ee9b 100644
--- a/manifests/batches/mathlib/000104.json
+++ b/manifests/batches/mathlib/000104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000104",
   "batch_fingerprint": "a954fa15df42182040c7ff45df373533202605976004be50ec0ef650e74e3691",
   "evidence": {
@@ -1509,22 +1508,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000104-0000-8c9526b2215e2934.parquet",
-      "sha256": "8c9526b2215e2934781177922e1af4a1458a2161d94be6fe81765599fbb23139",
-      "bytes": 100777,
-      "rows": 32,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/mathlib-000104-0000-4525a1bc7f820fec.parquet",
-      "sha256": "4525a1bc7f820fece42838b2cb7011e9f7a7a87418e9e0532a227b2b6fc1ba9a",
-      "bytes": 48507,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.adjoin_eq_range_freeAlgebra_lift",
     "mathlib:FreeAlgebra.algebraMap_leftInverse",
@@ -1564,5 +1548,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeAlgebra.lean\",null,null,\"FreeAlgebra.quot_mk_eq_\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeAlgebra.lean\",null,null,\"FreeAlgebra.\u03b9_comp_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeAlgebra.lean\",null,null,\"FreeAlgebra.\u03b9_ne_algebraMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100777,
+      "path": "data/train/p34/mathlib-000104-0000-8c9526b2215e2934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "8c9526b2215e2934781177922e1af4a1458a2161d94be6fe81765599fbb23139"
+    },
+    {
+      "bytes": 48507,
+      "path": "data/dev/p34/mathlib-000104-0000-4525a1bc7f820fec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4525a1bc7f820fece42838b2cb7011e9f7a7a87418e9e0532a227b2b6fc1ba9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000105.json b/manifests/batches/mathlib/000105.json
index 8885ceac9ec478e58d2db11076a7b62a5ea516d3..1e5dffef72123327489e9ac5b6610e2a4d50d30c 100644
--- a/manifests/batches/mathlib/000105.json
+++ b/manifests/batches/mathlib/000105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000105",
   "batch_fingerprint": "0bea5f1ac817b07140561d96c04115a9b4eca78cc2dc5040863c72ab7cbd94fc",
   "evidence": {
@@ -898,29 +897,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000105-0000-67f19f343403a8a2.parquet",
-      "sha256": "67f19f343403a8a2418534828f4d1d4e1f1c60f8b1f447f1647dd256f80face6",
-      "bytes": 46067,
-      "rows": 6,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/mathlib-000105-0000-1b5e9aa5ab1e5eb3.parquet",
-      "sha256": "1b5e9aa5ab1e5eb3c7ebfba8742cc0de4f0c5f1847305b08c971b1c1f94fbd54",
-      "bytes": 35564,
-      "rows": 2,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/mathlib-000105-0000-718f73fe10380998.parquet",
-      "sha256": "718f73fe10380998a772e541a2e986a0d0d5a07fb7c0e146f53c68c42d33a6a6",
-      "bytes": 45192,
-      "rows": 3,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FreeAddMonoid.countP_of",
     "mathlib:FreeAddMonoid.count_of",
@@ -940,5 +917,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeMonoid/Count.lean\",null,null,\"FreeAddMonoid.count_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeMonoid/Count.lean\",null,null,\"FreeMonoid.countP_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/FreeMonoid/Count.lean\",null,null,\"FreeMonoid.countP_of'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46067,
+      "path": "data/train/p42/mathlib-000105-0000-67f19f343403a8a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "67f19f343403a8a2418534828f4d1d4e1f1c60f8b1f447f1647dd256f80face6"
+    },
+    {
+      "bytes": 35564,
+      "path": "data/dev/p42/mathlib-000105-0000-1b5e9aa5ab1e5eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1b5e9aa5ab1e5eb3c7ebfba8742cc0de4f0c5f1847305b08c971b1c1f94fbd54"
+    },
+    {
+      "bytes": 45192,
+      "path": "data/internal_test/p42/mathlib-000105-0000-718f73fe10380998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "718f73fe10380998a772e541a2e986a0d0d5a07fb7c0e146f53c68c42d33a6a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000106.json b/manifests/batches/mathlib/000106.json
index 549f7b2c20d1acd322a8c76737962a9cf2143cac..2c226ffdd563405184ab97082167768c45a19347 100644
--- a/manifests/batches/mathlib/000106.json
+++ b/manifests/batches/mathlib/000106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000106",
   "batch_fingerprint": "41c95bd1e9b051e7bad6a713765763c8d059c5c7f08f9cd3bf858b120aee58fc",
   "evidence": {
@@ -3504,22 +3503,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000106-0000-b57912065c29a2b1.parquet",
-      "sha256": "b57912065c29a2b1d8515ab78586d5165744bb1a2901b4d28691df0621480b64",
-      "bytes": 84087,
-      "rows": 24,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/mathlib-000106-0000-4e8a3975bf0f12b9.parquet",
-      "sha256": "4e8a3975bf0f12b968a8430654f0b4bfa18aba92d7084d6c771c1d2f40818fa6",
-      "bytes": 35261,
-      "rows": 2,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Associates.dvd_out_iff",
     "mathlib:Associates.out_dvd_iff",
@@ -3565,5 +3549,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Basic.lean\",null,null,\"normalize_coe_units\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Basic.lean\",null,null,\"normalize_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Basic.lean\",null,null,\"normalize_idem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84087,
+      "path": "data/train/p6e/mathlib-000106-0000-b57912065c29a2b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b57912065c29a2b1d8515ab78586d5165744bb1a2901b4d28691df0621480b64"
+    },
+    {
+      "bytes": 35261,
+      "path": "data/dev/p6e/mathlib-000106-0000-4e8a3975bf0f12b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4e8a3975bf0f12b968a8430654f0b4bfa18aba92d7084d6c771c1d2f40818fa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000107.json b/manifests/batches/mathlib/000107.json
index 6621fba60c5b23170aacaa9152980842948076d7..20f18acf804f0e69650600c23fa43947ffe9832a 100644
--- a/manifests/batches/mathlib/000107.json
+++ b/manifests/batches/mathlib/000107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000107",
   "batch_fingerprint": "deefc3c3d8a0017db60bbe1f2c2f9c2a41e76bd29fab328e766480c5208e8be7",
   "evidence": {
@@ -1254,29 +1253,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000107-0000-a9a30cda312f6dbe.parquet",
-      "sha256": "a9a30cda312f6dbe116ed345ad09a56f9f7f77252b5f929540a6e177418f61cb",
-      "bytes": 83823,
-      "rows": 22,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/mathlib-000107-0000-ab3081f4942b3f60.parquet",
-      "sha256": "ab3081f4942b3f60405adbe1721da1863e62d23442d192e263c3133e4c8f3441",
-      "bytes": 35670,
-      "rows": 1,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/mathlib-000107-0000-40718a3e5cea73d8.parquet",
-      "sha256": "40718a3e5cea73d8c24815b30cfc360ce5dd07043735fdcadbc62e2c6c049651",
-      "bytes": 32887,
-      "rows": 1,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.dvd_gcd_iff",
     "mathlib:Finset.gcd_congr",
@@ -1298,5 +1275,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Finset.lean\",null,null,\"Finset.normalize_gcd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Finset.lean\",null,null,\"Finset.normalize_lcm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/IntegrallyClosed.lean\",null,null,\"IsLocalization.surj_of_gcd_domain\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83823,
+      "path": "data/train/pf1/mathlib-000107-0000-a9a30cda312f6dbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "a9a30cda312f6dbe116ed345ad09a56f9f7f77252b5f929540a6e177418f61cb"
+    },
+    {
+      "bytes": 35670,
+      "path": "data/dev/pf1/mathlib-000107-0000-ab3081f4942b3f60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ab3081f4942b3f60405adbe1721da1863e62d23442d192e263c3133e4c8f3441"
+    },
+    {
+      "bytes": 32887,
+      "path": "data/internal_test/pf1/mathlib-000107-0000-40718a3e5cea73d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "40718a3e5cea73d8c24815b30cfc360ce5dd07043735fdcadbc62e2c6c049651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000108.json b/manifests/batches/mathlib/000108.json
index 890c75356a76b1f0e356b819933b5a7bd063fabd..0161437fe804b3ff1de75aa2f89fb690a881da02 100644
--- a/manifests/batches/mathlib/000108.json
+++ b/manifests/batches/mathlib/000108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000108",
   "batch_fingerprint": "57fa07fa5acc3036fa6f31e5bd877f33588d9c1fcb2063822b0a80fd0cc91234",
   "evidence": {
@@ -1279,22 +1278,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000108-0000-d54333a85d9724e3.parquet",
-      "sha256": "d54333a85d9724e3ad326114fe9b8460c7220aeb400ea0239695c4c78b93176a",
-      "bytes": 53849,
-      "rows": 16,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/mathlib-000108-0000-da38af0ca065c9b3.parquet",
-      "sha256": "da38af0ca065c9b339d2c6489b5d47ca067fb723f3e0cd830d8f4e943d6f5328",
-      "bytes": 45859,
-      "rows": 3,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.abs_eq_normalize",
     "mathlib:Int.associated_iff",
@@ -1322,5 +1306,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Nat.lean\",null,null,\"Int.associated_iff_natAbs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Nat.lean\",null,null,\"Int.nonneg_of_normalize_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GCDMonoid/Nat.lean\",null,null,\"Int.normalize_of_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53849,
+      "path": "data/train/pdf/mathlib-000108-0000-d54333a85d9724e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d54333a85d9724e3ad326114fe9b8460c7220aeb400ea0239695c4c78b93176a"
+    },
+    {
+      "bytes": 45859,
+      "path": "data/internal_test/pdf/mathlib-000108-0000-da38af0ca065c9b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "da38af0ca065c9b339d2c6489b5d47ca067fb723f3e0cd830d8f4e943d6f5328"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000109.json b/manifests/batches/mathlib/000109.json
index 997867e4fb25ee68a60798ad4cf4f3371bcc82e9..bc16f93a1be9ceaf3b5ce38f1e56b278c6c8235a 100644
--- a/manifests/batches/mathlib/000109.json
+++ b/manifests/batches/mathlib/000109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000109",
   "batch_fingerprint": "c439ec46e183cc1aeee1cb19a48d332c7638d1032b9dcea78b9e314634154595",
   "evidence": {
@@ -3665,29 +3664,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000109-0000-74a143f1d37972b6.parquet",
-      "sha256": "74a143f1d37972b6d1fe4fe661f840af4963e60790d1ae7d57e9051ef27c0946",
-      "bytes": 150157,
-      "rows": 43,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/mathlib-000109-0000-4977052d3a1435be.parquet",
-      "sha256": "4977052d3a1435bec0e9d3e8f13ecdf40bf453d34df7cba7ef8afd423dab08e8",
-      "bytes": 28354,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/mathlib-000109-0000-46ec5c055ea4b884.parquet",
-      "sha256": "46ec5c055ea4b884bee166148ba6669e0597908fe5b7885bf0e28084a6ecc3c6",
-      "bytes": 44943,
-      "rows": 4,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.geom_sum\u2082_mul",
     "mathlib:Commute.mul_geom_sum\u2082",
@@ -3745,5 +3722,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GeomSum.lean\",null,null,\"op_geom_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GeomSum.lean\",null,null,\"op_geom_sum\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GeomSum.lean\",null,null,\"sub_one_dvd_pow_sub_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150157,
+      "path": "data/train/pcf/mathlib-000109-0000-74a143f1d37972b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "74a143f1d37972b6d1fe4fe661f840af4963e60790d1ae7d57e9051ef27c0946"
+    },
+    {
+      "bytes": 28354,
+      "path": "data/dev/pcf/mathlib-000109-0000-4977052d3a1435be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4977052d3a1435bec0e9d3e8f13ecdf40bf453d34df7cba7ef8afd423dab08e8"
+    },
+    {
+      "bytes": 44943,
+      "path": "data/internal_test/pcf/mathlib-000109-0000-46ec5c055ea4b884.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "46ec5c055ea4b884bee166148ba6669e0597908fe5b7885bf0e28084a6ecc3c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000110.json b/manifests/batches/mathlib/000110.json
index 73b713bf7a6b23c3ddb55ddd27f84a1a2ea448ea..04e67062bec8316ff9dd064eefd17f708174fe0e 100644
--- a/manifests/batches/mathlib/000110.json
+++ b/manifests/batches/mathlib/000110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000110",
   "batch_fingerprint": "5ee846646cf02bfcd31b53656692fd5db712ce4ba86705ba62fad7205b5857cf",
   "evidence": {
@@ -723,29 +722,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000110-0000-7ede21257cccb2a8.parquet",
-      "sha256": "7ede21257cccb2a8aeae3d8c78ed9aa4d9b46eb829c1f1be58d7e87f0ce476c0",
-      "bytes": 83010,
-      "rows": 14,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/mathlib-000110-0000-08e2a0332fc2eab3.parquet",
-      "sha256": "08e2a0332fc2eab3ba1732b415a1e2ffbd72f1fa46573bf40f9fd42f30e722e9",
-      "bytes": 47574,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/mathlib-000110-0000-e709eb4b6fa79b19.parquet",
-      "sha256": "e709eb4b6fa79b19ef3ffa9f3654b45bcd74be11f6574536c888a589602f4138",
-      "bytes": 66684,
-      "rows": 6,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.smulCommClass",
     "mathlib:Function.Surjective.smulCommClass",
@@ -777,5 +754,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Action/Defs.lean\",null,null,\"smul_one_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Action/Defs.lean\",null,null,\"smul_one_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Action/Defs.lean\",null,null,\"smul_smul_smul_comm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83010,
+      "path": "data/train/p01/mathlib-000110-0000-7ede21257cccb2a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7ede21257cccb2a8aeae3d8c78ed9aa4d9b46eb829c1f1be58d7e87f0ce476c0"
+    },
+    {
+      "bytes": 47574,
+      "path": "data/dev/p01/mathlib-000110-0000-08e2a0332fc2eab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "08e2a0332fc2eab3ba1732b415a1e2ffbd72f1fa46573bf40f9fd42f30e722e9"
+    },
+    {
+      "bytes": 66684,
+      "path": "data/internal_test/p01/mathlib-000110-0000-e709eb4b6fa79b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e709eb4b6fa79b19ef3ffa9f3654b45bcd74be11f6574536c888a589602f4138"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000111.json b/manifests/batches/mathlib/000111.json
index 73687aa6be5f0971d2fff30bc4622f1ebd8bebd1..52e292b888debc92c5fa5dad2ee949a90a1a54f0 100644
--- a/manifests/batches/mathlib/000111.json
+++ b/manifests/batches/mathlib/000111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000111",
   "batch_fingerprint": "4201846893889dd3ce5e57969d111a866a2e857f7f60768baef4868ff8614425",
   "evidence": {
@@ -1367,22 +1366,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000111-0000-6c169c5b9d090374.parquet",
-      "sha256": "6c169c5b9d09037417a9d0a5242e18f443f23d3ccc38d2b6e7b338d1e3054cf8",
-      "bytes": 87817,
-      "rows": 28,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/mathlib-000111-0000-78e7f6272997f2be.parquet",
-      "sha256": "78e7f6272997f2bef542c2f35a1f899ed96ceb555ef1aac31bedb707f57b8243",
-      "bytes": 44303,
-      "rows": 2,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddChar.coe_mk",
     "mathlib:AddChar.compAddMonoidHom_injective_left",
@@ -1414,5 +1398,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/AddChar.lean\",null,null,\"AddChar.pow_mulShift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/AddChar.lean\",null,null,\"MonoidHom.compAddChar_injective_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/AddChar.lean\",null,null,\"MonoidHom.compAddChar_injective_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87817,
+      "path": "data/train/p1f/mathlib-000111-0000-6c169c5b9d090374.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "6c169c5b9d09037417a9d0a5242e18f443f23d3ccc38d2b6e7b338d1e3054cf8"
+    },
+    {
+      "bytes": 44303,
+      "path": "data/internal_test/p1f/mathlib-000111-0000-78e7f6272997f2be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78e7f6272997f2bef542c2f35a1f899ed96ceb555ef1aac31bedb707f57b8243"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000112.json b/manifests/batches/mathlib/000112.json
index a89ce8605948d932a8dd6c96e21b35af61e403a2..68468e5852784113408304cb37b0cd279292162a 100644
--- a/manifests/batches/mathlib/000112.json
+++ b/manifests/batches/mathlib/000112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000112",
   "batch_fingerprint": "5b66368cd4cfb0aa3ee723629827e5bb254083dbc7bb8ec558ab0affc849476d",
   "evidence": {
@@ -2639,29 +2638,7 @@
     "validation_rejected_proofs": 15,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000112-0000-d2f3f42bcf8dd48b.parquet",
-      "sha256": "d2f3f42bcf8dd48b1cd16d95c2f263f5a5c84ee5f792fb4cec7f46cd58ecfbd3",
-      "bytes": 306136,
-      "rows": 133,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/mathlib-000112-0000-b1d91cc71d12bf37.parquet",
-      "sha256": "b1d91cc71d12bf3715669c755e9a3e05811f131a066369589d24cf5db55178fd",
-      "bytes": 41445,
-      "rows": 8,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/mathlib-000112-0000-d2ad6839683f1771.parquet",
-      "sha256": "d2ad6839683f17712df86317209b6ee0c4a75fd9ba6210fb3746c92f0674ae12",
-      "bytes": 47659,
-      "rows": 10,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsMulCentral.left_comm",
     "mathlib:IsMulCentral.right_comm",
@@ -2941,5 +2918,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Center.lean\",null,null,\"Set.div_mem_center\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Center.lean\",null,null,\"Set.inv_mem_center\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Center.lean\",null,null,\"Set.subset_center_units\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306136,
+      "path": "data/train/p04/mathlib-000112-0000-d2f3f42bcf8dd48b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 133,
+      "sha256": "d2f3f42bcf8dd48b1cd16d95c2f263f5a5c84ee5f792fb4cec7f46cd58ecfbd3"
+    },
+    {
+      "bytes": 41445,
+      "path": "data/dev/p04/mathlib-000112-0000-b1d91cc71d12bf37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b1d91cc71d12bf3715669c755e9a3e05811f131a066369589d24cf5db55178fd"
+    },
+    {
+      "bytes": 47659,
+      "path": "data/internal_test/p04/mathlib-000112-0000-d2ad6839683f1771.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d2ad6839683f17712df86317209b6ee0c4a75fd9ba6210fb3746c92f0674ae12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000113.json b/manifests/batches/mathlib/000113.json
index 3e87338b6e2d13f55a68b55a45eef5ef28b5b973..d9541102cb2b598bcee919df49c59c96e21da0c1 100644
--- a/manifests/batches/mathlib/000113.json
+++ b/manifests/batches/mathlib/000113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000113",
   "batch_fingerprint": "b370b62387ea7f1e6c2a75de5fef7080bf514cf9c6d088d5d4dc35c6865eb417",
   "evidence": {
@@ -150,22 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000113-0000-ebcdc50761953886.parquet",
-      "sha256": "ebcdc50761953886269d14521f5e410b225162d9a0d0796710e696dcc8d942b6",
-      "bytes": 54299,
-      "rows": 14,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/mathlib-000113-0000-470d87301b19eeca.parquet",
-      "sha256": "470d87301b19eeca43f5a9c06f7a6bf2532abcdc90502aabc0e19cecc9472452",
-      "bytes": 45979,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.centralizer_centralizer_centralizer",
     "mathlib:Set.centralizer_eq_top_iff_subset",
@@ -183,5 +167,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Centralizer.lean\",null,null,\"Set.mul_mem_centralizer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Centralizer.lean\",null,null,\"Set.one_mem_centralizer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Centralizer.lean\",null,null,\"Set.subset_centralizer_centralizer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54299,
+      "path": "data/train/p30/mathlib-000113-0000-ebcdc50761953886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ebcdc50761953886269d14521f5e410b225162d9a0d0796710e696dcc8d942b6"
+    },
+    {
+      "bytes": 45979,
+      "path": "data/dev/p30/mathlib-000113-0000-470d87301b19eeca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "470d87301b19eeca43f5a9c06f7a6bf2532abcdc90502aabc0e19cecc9472452"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000114.json b/manifests/batches/mathlib/000114.json
index eb1b469adca1ef995f41e2f3a48193e29604e06f..55819147c3e53dd11bc4daa734a5c243213d5b90 100644
--- a/manifests/batches/mathlib/000114.json
+++ b/manifests/batches/mathlib/000114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000114",
   "batch_fingerprint": "f7db2d19e87861fec21b6cdb5f8b907ae28a8c32803234952b6bfd06027201a6",
   "evidence": {
@@ -745,22 +744,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000114-0000-03873b65e52b359d.parquet",
-      "sha256": "03873b65e52b359dd713811b0936c246cc74d13775fac663da027fd45d0c858a",
-      "bytes": 52108,
-      "rows": 13,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/mathlib-000114-0000-a069a60c45acbe44.parquet",
-      "sha256": "a069a60c45acbe44a4aa9f974eba4f380e757a87adc92b2d8ff3454fa380213f",
-      "bytes": 32842,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.div_div_div_comm",
     "mathlib:Commute.div_mul_div_comm",
@@ -792,5 +776,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Defs.lean\",null,null,\"pow_bit0'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Defs.lean\",null,null,\"pow_bit1\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Defs.lean\",null,null,\"pow_bit1'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52108,
+      "path": "data/train/p87/mathlib-000114-0000-03873b65e52b359d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "03873b65e52b359dd713811b0936c246cc74d13775fac663da027fd45d0c858a"
+    },
+    {
+      "bytes": 32842,
+      "path": "data/dev/p87/mathlib-000114-0000-a069a60c45acbe44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a069a60c45acbe44a4aa9f974eba4f380e757a87adc92b2d8ff3454fa380213f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000115.json b/manifests/batches/mathlib/000115.json
index 4561e70ba55daa64e335d95271f21b6954a46b48..426568daf56cbd59051ce9f1644acf5472fe8f17 100644
--- a/manifests/batches/mathlib/000115.json
+++ b/manifests/batches/mathlib/000115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000115",
   "batch_fingerprint": "9ed7db3bd43db95e94cb20d5a4a62b8173697cdebc381cbe692ce75a9ea3ad42",
   "evidence": {
@@ -326,15 +325,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000115-0000-466072a41cae2bb6.parquet",
-      "sha256": "466072a41cae2bb625af740cc1b046429ef72f77608f0b3556bebd6a286c1745",
-      "bytes": 41393,
-      "rows": 5,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.div_eq_div_iff_of_isUnit",
     "mathlib:Commute.of_map",
@@ -348,5 +339,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Hom.lean\",null,null,\"SemiconjBy.of_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Units.lean\",null,null,\"Commute.div_eq_div_iff_of_isUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Commute/Units.lean\",null,null,\"Units.pow_ofPowEqOne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41393,
+      "path": "data/train/p1b/mathlib-000115-0000-466072a41cae2bb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "466072a41cae2bb625af740cc1b046429ef72f77608f0b3556bebd6a286c1745"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000116.json b/manifests/batches/mathlib/000116.json
index c03d2250d0bd2fd80c50577cc77e4fd724b82e5c..9ebd6bb4212fe29c4c681979ec3300c85fed1b5b 100644
--- a/manifests/batches/mathlib/000116.json
+++ b/manifests/batches/mathlib/000116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000116",
   "batch_fingerprint": "9ca4dcc4ce53629792eadb5ec1e7f5298ce14ef577fa986f7e94ffff368dc0d8",
   "evidence": {
@@ -1555,29 +1554,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000116-0000-b802391611e91bd9.parquet",
-      "sha256": "b802391611e91bd9e1cba1b0b43b7202e7aefe3051646ce1b9c4501f4ad222de",
-      "bytes": 97981,
-      "rows": 34,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/mathlib-000116-0000-642c8252a3676d09.parquet",
-      "sha256": "642c8252a3676d098a90bd286f1144fae3e6765f6cc1a38c91c4a44a56ac20d0",
-      "bytes": 34633,
-      "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/mathlib-000116-0000-24f272a9435c0c22.parquet",
-      "sha256": "24f272a9435c0c22587e26099c9c963aeb22dbb6e48c296b588bfa44d92c6059",
-      "bytes": 33677,
-      "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConjClasses.map_surjective",
     "mathlib:ConjClasses.mem_carrier_iff_mk_eq",
@@ -1635,5 +1612,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Defs.lean\",null,null,\"zpow_negSucc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Defs.lean\",null,null,\"zpow_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Defs.lean\",null,null,\"zpow_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97981,
+      "path": "data/train/p05/mathlib-000116-0000-b802391611e91bd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "b802391611e91bd9e1cba1b0b43b7202e7aefe3051646ce1b9c4501f4ad222de"
+    },
+    {
+      "bytes": 34633,
+      "path": "data/dev/p05/mathlib-000116-0000-642c8252a3676d09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "642c8252a3676d098a90bd286f1144fae3e6765f6cc1a38c91c4a44a56ac20d0"
+    },
+    {
+      "bytes": 33677,
+      "path": "data/internal_test/p05/mathlib-000116-0000-24f272a9435c0c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "24f272a9435c0c22587e26099c9c963aeb22dbb6e48c296b588bfa44d92c6059"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000117.json b/manifests/batches/mathlib/000117.json
index 72ea4292f98361fa6f7bee7b548cf1610c2339e8..4a9e37b103d1542680edd73b7b312c4e85fdc54a 100644
--- a/manifests/batches/mathlib/000117.json
+++ b/manifests/batches/mathlib/000117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000117",
   "batch_fingerprint": "1155ef42644d73c6d63a800c894d39b3c1dd13a59623baf05dcef5c5c8b14485",
   "evidence": {
@@ -1382,15 +1381,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000117-0000-d78ac41c1efbce6b.parquet",
-      "sha256": "d78ac41c1efbce6b9ca43574afd07cde59b092e09a164ecf017b3a036ae98d45",
-      "bytes": 50799,
-      "rows": 8,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulEquiv.coe_monoidHom_comp_coe_monoidHom_symm",
     "mathlib:MulEquiv.coe_monoidHom_symm_comp_coe_monoidHom",
@@ -1404,5 +1395,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Equiv/Basic.lean\",null,null,\"MulEquiv.coe_monoidHom_symm_comp_coe_monoidHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Equiv/Basic.lean\",null,null,\"MulEquiv.comp_left_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Equiv/Basic.lean\",null,null,\"MulEquiv.comp_right_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50799,
+      "path": "data/train/p66/mathlib-000117-0000-d78ac41c1efbce6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d78ac41c1efbce6b9ca43574afd07cde59b092e09a164ecf017b3a036ae98d45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000118.json b/manifests/batches/mathlib/000118.json
index beb841459a3ea5518e5032fe8afd42928df1d0fb..3fa0a59b997ec7d2524a61560baf11f77fa3e64f 100644
--- a/manifests/batches/mathlib/000118.json
+++ b/manifests/batches/mathlib/000118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000118",
   "batch_fingerprint": "0118656487cdb6a6240517f46e813f9591f65d35342a8df440ab4fc66b28f1d0",
   "evidence": {
@@ -738,29 +737,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000118-0000-cff045d350ac6010.parquet",
-      "sha256": "cff045d350ac60107d6e3151bb7dabe871a0f0182d6f027bf24ee4325c05e00d",
-      "bytes": 70909,
-      "rows": 21,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/mathlib-000118-0000-4bf5121d814a0906.parquet",
-      "sha256": "4bf5121d814a0906d1be2d0c108b27c6f47478163655a7d02d4a588f8728809c",
-      "bytes": 52848,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/mathlib-000118-0000-68051980e99a7f6b.parquet",
-      "sha256": "68051980e99a7f6b501d3aacbd32dedb86d5cf8df1e13b6291de0ebfb0956fdd",
-      "bytes": 42822,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CancelMonoid.toLeftCancelMonoid_injective",
     "mathlib:CommGroup.toGroup_injective",
@@ -790,5 +767,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Ext.lean\",null,null,\"Group.toDivInvMonoid_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Ext.lean\",null,null,\"LeftCancelMonoid.toMonoid_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Ext.lean\",null,null,\"RightCancelMonoid.toMonoid_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70909,
+      "path": "data/train/pae/mathlib-000118-0000-cff045d350ac6010.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "cff045d350ac60107d6e3151bb7dabe871a0f0182d6f027bf24ee4325c05e00d"
+    },
+    {
+      "bytes": 52848,
+      "path": "data/dev/pae/mathlib-000118-0000-4bf5121d814a0906.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4bf5121d814a0906d1be2d0c108b27c6f47478163655a7d02d4a588f8728809c"
+    },
+    {
+      "bytes": 42822,
+      "path": "data/internal_test/pae/mathlib-000118-0000-68051980e99a7f6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "68051980e99a7f6b501d3aacbd32dedb86d5cf8df1e13b6291de0ebfb0956fdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000119.json b/manifests/batches/mathlib/000119.json
index f96afdb008b531f067e73f6bf6b9666f02286ac7..a32157901f944ddf7c8aa6c2c5cdc758760aa0c4 100644
--- a/manifests/batches/mathlib/000119.json
+++ b/manifests/batches/mathlib/000119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000119",
   "batch_fingerprint": "044d1d5801159be539b5617effddfacd50df48ed56b4ac8be71105b9e13bea2f",
   "evidence": {
@@ -271,37 +270,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Fin.neg_last",
+    "mathlib:Fin.neg_natCast_eq_one",
+    "mathlib:Fin.sub_one_lt_iff"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.neg_last\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.neg_natCast_eq_one\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.sub_one_lt_iff\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000119-0000-b11bf80ca820d4ba.parquet",
-      "sha256": "b11bf80ca820d4bacc9f6eb449c158d855670ec628db3f6df8ae78318ddbc4d2",
       "bytes": 27191,
+      "path": "data/train/pf6/mathlib-000119-0000-b11bf80ca820d4ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
+      "sha256": "b11bf80ca820d4bacc9f6eb449c158d855670ec628db3f6df8ae78318ddbc4d2"
     },
     {
-      "path": "data/dev/mathlib-000119-0000-56bd49104457b39d.parquet",
-      "sha256": "56bd49104457b39d8c197c9bdc3a74da023128e27c0dded23a738763bd5d6330",
       "bytes": 40851,
+      "path": "data/dev/pf6/mathlib-000119-0000-56bd49104457b39d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
+      "sha256": "56bd49104457b39d8c197c9bdc3a74da023128e27c0dded23a738763bd5d6330"
     },
     {
-      "path": "data/internal_test/mathlib-000119-0000-6bc900adc42dc512.parquet",
-      "sha256": "6bc900adc42dc512505077518d28a202c8b6886be75dbbae530946a8f040e0c0",
       "bytes": 30734,
+      "path": "data/internal_test/pf6/mathlib-000119-0000-6bc900adc42dc512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
+      "sha256": "6bc900adc42dc512505077518d28a202c8b6886be75dbbae530946a8f040e0c0"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Fin.neg_last",
-    "mathlib:Fin.neg_natCast_eq_one",
-    "mathlib:Fin.sub_one_lt_iff"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.neg_last\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.neg_natCast_eq_one\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Fin.lean\",null,null,\"Fin.sub_one_lt_iff\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000120.json b/manifests/batches/mathlib/000120.json
index e81fd7d94c5fb39f0e88cb93fd1fb7d9fefcdc06..17b5625f99a3da630370e39c72cd97d1ae98b5dd 100644
--- a/manifests/batches/mathlib/000120.json
+++ b/manifests/batches/mathlib/000120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000120",
   "batch_fingerprint": "4c5ea435d68e96aa02e4294bf31c3c1e20a9bf22fa9ad037fe5a930d339e5394",
   "evidence": {
@@ -332,22 +331,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000120-0000-30977e2a39f1ee2b.parquet",
-      "sha256": "30977e2a39f1ee2bfaa8fc8bff69a66ced02d518007e2bf8e3bf61ac65fc381e",
-      "bytes": 74437,
-      "rows": 10,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/mathlib-000120-0000-cd6163536dfbd423.parquet",
-      "sha256": "cd6163536dfbd423cde12d192387cf5815a4ecec51875d90745313cc64e46a5a",
-      "bytes": 53845,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.CompTriple.comp_apply",
     "mathlib:MonoidHom.CompTriple.comp_inv",
@@ -365,5 +349,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/Basic.lean\",null,null,\"injective_iff_map_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/CompTypeclasses.lean\",null,null,\"MonoidHom.CompTriple.comp_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/CompTypeclasses.lean\",null,null,\"MonoidHom.CompTriple.comp_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74437,
+      "path": "data/train/pd2/mathlib-000120-0000-30977e2a39f1ee2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "30977e2a39f1ee2bfaa8fc8bff69a66ced02d518007e2bf8e3bf61ac65fc381e"
+    },
+    {
+      "bytes": 53845,
+      "path": "data/dev/pd2/mathlib-000120-0000-cd6163536dfbd423.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd6163536dfbd423cde12d192387cf5815a4ecec51875d90745313cc64e46a5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000121.json b/manifests/batches/mathlib/000121.json
index cf06824eff165c8272ce536a0691cda932fbe25d..ef2c302d90d874c32151bab8cdf68d4a67e6d74e 100644
--- a/manifests/batches/mathlib/000121.json
+++ b/manifests/batches/mathlib/000121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000121",
   "batch_fingerprint": "a648363e0631aab0efd76da9d5cefaa80a92ff13617487ed34581b347b1c3bb8",
   "evidence": {
@@ -1757,29 +1756,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000121-0000-e2af47b7f06e660c.parquet",
-      "sha256": "e2af47b7f06e660c88515259bb9f87d66048146ca4c0b953f7abbca5a7503529",
-      "bytes": 83909,
-      "rows": 19,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/mathlib-000121-0000-13434d6f9d730d13.parquet",
-      "sha256": "13434d6f9d730d13a940552009f1e545ed61d5e4cae9ead278543b5c96aeabd0",
-      "bytes": 39885,
-      "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/mathlib-000121-0000-f6dad0cd9445a557.parquet",
-      "sha256": "f6dad0cd9445a557aad58da459c3d248da8564606fe737e0661a39d83a513350",
-      "bytes": 64866,
-      "rows": 8,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.cancel_left",
     "mathlib:MonoidHom.comp_one",
@@ -1823,5 +1800,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/Defs.lean\",null,null,\"map_mul_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/Defs.lean\",null,null,\"map_mul_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Hom/Defs.lean\",null,null,\"ne_one_of_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83909,
+      "path": "data/train/p56/mathlib-000121-0000-e2af47b7f06e660c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e2af47b7f06e660c88515259bb9f87d66048146ca4c0b953f7abbca5a7503529"
+    },
+    {
+      "bytes": 39885,
+      "path": "data/dev/p56/mathlib-000121-0000-13434d6f9d730d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "13434d6f9d730d13a940552009f1e545ed61d5e4cae9ead278543b5c96aeabd0"
+    },
+    {
+      "bytes": 64866,
+      "path": "data/internal_test/p56/mathlib-000121-0000-f6dad0cd9445a557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f6dad0cd9445a557aad58da459c3d248da8564606fe737e0661a39d83a513350"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000122.json b/manifests/batches/mathlib/000122.json
index b10c2366723270c2a6d52b8a4e6d788ff77dfeb0..0e2da564a38956eb48e6e8c6be94e6a9c549471f 100644
--- a/manifests/batches/mathlib/000122.json
+++ b/manifests/batches/mathlib/000122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000122",
   "batch_fingerprint": "83938558eabbeb7685b21ec869253abaa5432ef65f5331f650f491d6f94951a4",
   "evidence": {
@@ -1340,29 +1339,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000122-0000-8601404e53c8bc28.parquet",
-      "sha256": "8601404e53c8bc289fa4a01f10bafce7db51f166896eb5a6ed4f6b6d86ed0faa",
-      "bytes": 145758,
-      "rows": 33,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/mathlib-000122-0000-7255672ce98eb8df.parquet",
-      "sha256": "7255672ce98eb8dfe7df3a7a56a5a76ae2dfd45c6c7600e9be5a0a99444a48be",
-      "bytes": 61575,
-      "rows": 4,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/mathlib-000122-0000-785ba3f255f159ce.parquet",
-      "sha256": "785ba3f255f159cebbd58c5a454c7a88577b54c37ccb0941d863ab11a776c7f2",
-      "bytes": 48196,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.map_mulIndicator",
     "mathlib:Set.apply_mulIndicator_symmDiff",
@@ -1418,5 +1395,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Indicator.lean\",null,null,\"Set.mulIndicator_union_mul_inter_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Indicator.lean\",null,null,\"Set.mulIndicator_union_of_not_mem_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Indicator.lean\",null,null,\"Set.mulSupport_mulIndicator\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145758,
+      "path": "data/train/p65/mathlib-000122-0000-8601404e53c8bc28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "8601404e53c8bc289fa4a01f10bafce7db51f166896eb5a6ed4f6b6d86ed0faa"
+    },
+    {
+      "bytes": 61575,
+      "path": "data/dev/p65/mathlib-000122-0000-7255672ce98eb8df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7255672ce98eb8dfe7df3a7a56a5a76ae2dfd45c6c7600e9be5a0a99444a48be"
+    },
+    {
+      "bytes": 48196,
+      "path": "data/internal_test/p65/mathlib-000122-0000-785ba3f255f159ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "785ba3f255f159cebbd58c5a454c7a88577b54c37ccb0941d863ab11a776c7f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000123.json b/manifests/batches/mathlib/000123.json
index d37247b3b2f90e0adde4be47f7155f9b1028e06e..a440d79becad9cb132cf45636311b974a9e1ee06 100644
--- a/manifests/batches/mathlib/000123.json
+++ b/manifests/batches/mathlib/000123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000123",
   "batch_fingerprint": "4a64000fef3734f7e1bb00ccf57409883cf9b50f15c1fd627b8ed8320e5bef00",
   "evidence": {
@@ -797,22 +796,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000123-0000-47c478aa5679ba5b.parquet",
-      "sha256": "47c478aa5679ba5b3bfd7687cc237805edf4f952626b27b1ac850216cde5af7f",
-      "bytes": 60692,
-      "rows": 19,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/mathlib-000123-0000-bd8e02f537e7387d.parquet",
-      "sha256": "bd8e02f537e7387de1b33138d04cf854cb870672c08f42200324243eac11e8f5",
-      "bytes": 35185,
-      "rows": 4,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.emod_two_ne_one",
     "mathlib:Int.emod_two_ne_zero",
@@ -856,5 +840,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Int.lean\",null,null,\"Int.ofNat_isUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Int.lean\",null,null,\"Int.two_not_dvd_two_mul_add_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Invertible/Basic.lean\",null,null,\"map_invOf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60692,
+      "path": "data/train/p5f/mathlib-000123-0000-47c478aa5679ba5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "47c478aa5679ba5b3bfd7687cc237805edf4f952626b27b1ac850216cde5af7f"
+    },
+    {
+      "bytes": 35185,
+      "path": "data/internal_test/p5f/mathlib-000123-0000-bd8e02f537e7387d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bd8e02f537e7387de1b33138d04cf854cb870672c08f42200324243eac11e8f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000124.json b/manifests/batches/mathlib/000124.json
index 16ab1b1f210fac4e05d73f147c34aa05711f104f..cdd903f8b020fdfca9a45fbea96419740757775d 100644
--- a/manifests/batches/mathlib/000124.json
+++ b/manifests/batches/mathlib/000124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000124",
   "batch_fingerprint": "912640fa5fab0cb38c243a7fcd9fbc3f0c53bd2b7c2af0d9a65672e246c89e9a",
   "evidence": {
@@ -569,29 +568,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000124-0000-b1996e3042510c47.parquet",
-      "sha256": "b1996e3042510c47fc2fd02eea64040569194e3c403e48b3fefa79f56a3bfdd9",
-      "bytes": 65581,
-      "rows": 26,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/mathlib-000124-0000-cdb32930c88bb4bf.parquet",
-      "sha256": "cdb32930c88bb4bf1672a843ac827d13336003bee160044133157183b391cdac",
-      "bytes": 27330,
-      "rows": 1,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000124-0000-64df095db45c9601.parquet",
-      "sha256": "64df095db45c9601b72bdb5436a20deab4c4a7c8ae15a81179b4544010dbf903",
-      "bytes": 36589,
-      "rows": 6,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Invertible.congr",
     "mathlib:Nat.even_add",
@@ -647,5 +624,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Nat.lean\",null,null,\"Nat.succ_mod_two_eq_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Nat.lean\",null,null,\"Nat.succ_mod_two_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Nat.lean\",null,null,\"Nat.two_not_dvd_two_mul_add_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65581,
+      "path": "data/train/pad/mathlib-000124-0000-b1996e3042510c47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b1996e3042510c47fc2fd02eea64040569194e3c403e48b3fefa79f56a3bfdd9"
+    },
+    {
+      "bytes": 27330,
+      "path": "data/dev/pad/mathlib-000124-0000-cdb32930c88bb4bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cdb32930c88bb4bf1672a843ac827d13336003bee160044133157183b391cdac"
+    },
+    {
+      "bytes": 36589,
+      "path": "data/internal_test/pad/mathlib-000124-0000-64df095db45c9601.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "64df095db45c9601b72bdb5436a20deab4c4a7c8ae15a81179b4544010dbf903"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000125.json b/manifests/batches/mathlib/000125.json
index e33c713c9e5d4092be1e85eb7ee5ab26e2b14806..25829b278481db5819e8d448b031ad444df333f4 100644
--- a/manifests/batches/mathlib/000125.json
+++ b/manifests/batches/mathlib/000125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000125",
   "batch_fingerprint": "a74797aac0088730a3173f5618dc89ff72a0b455ef7a91ad0821633fa22aa558",
   "evidence": {
@@ -886,22 +885,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000125-0000-6a696095dab38f13.parquet",
-      "sha256": "6a696095dab38f139da33609ca3d588ae46bbf8c19b79086c1310aca37ac8827",
-      "bytes": 42843,
-      "rows": 6,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/mathlib-000125-0000-bac45e8de80068cb.parquet",
-      "sha256": "bac45e8de80068cb2a7e00cbff9bac575ddd76c9ce56a9cdb6826e0bda390bc7",
-      "bytes": 29206,
-      "rows": 1,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulOpposite.op_div",
     "mathlib:MulOpposite.semiconjBy_op",
@@ -917,5 +901,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Opposite.lean\",null,null,\"MulOpposite.op_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Opposite.lean\",null,null,\"MulOpposite.semiconjBy_op\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Opposite.lean\",null,null,\"MulOpposite.semiconjBy_unop\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42843,
+      "path": "data/train/pe8/mathlib-000125-0000-6a696095dab38f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6a696095dab38f139da33609ca3d588ae46bbf8c19b79086c1310aca37ac8827"
+    },
+    {
+      "bytes": 29206,
+      "path": "data/dev/pe8/mathlib-000125-0000-bac45e8de80068cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bac45e8de80068cb2a7e00cbff9bac575ddd76c9ce56a9cdb6826e0bda390bc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000126.json b/manifests/batches/mathlib/000126.json
index 9378c10d1237d73989b52d71b76d60e15172f0bb..549e4b0ea515f1c068af5fed13f4d9035cf2908b 100644
--- a/manifests/batches/mathlib/000126.json
+++ b/manifests/batches/mathlib/000126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000126",
   "batch_fingerprint": "c7df772f042ccede31693c9b91040af5e6d11b1b36781ae8abf8ef75f63f60d3",
   "evidence": {
@@ -1198,22 +1197,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000126-0000-379bbb6e80f96e69.parquet",
-      "sha256": "379bbb6e80f96e69707b3623d49d1ab4505fef3257838cbb0527b85e49b6148c",
-      "bytes": 61442,
-      "rows": 11,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000126-0000-557f3ab4cd01fa5f.parquet",
-      "sha256": "557f3ab4cd01fa5f612f6344081f692b24c518df0d9d1f3b040d152b04e6fd7d",
-      "bytes": 45529,
-      "rows": 2,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.comp_eq_one_iff",
     "mathlib:Function.extend_one",
@@ -1237,5 +1221,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Pi/Basic.lean\",null,null,\"Sum.elim_mulSingle_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Pi/Basic.lean\",null,null,\"Sum.elim_mul_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Pi/Basic.lean\",null,null,\"Sum.elim_one_mulSingle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61442,
+      "path": "data/train/p91/mathlib-000126-0000-379bbb6e80f96e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "379bbb6e80f96e69707b3623d49d1ab4505fef3257838cbb0527b85e49b6148c"
+    },
+    {
+      "bytes": 45529,
+      "path": "data/internal_test/p91/mathlib-000126-0000-557f3ab4cd01fa5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "557f3ab4cd01fa5f612f6344081f692b24c518df0d9d1f3b040d152b04e6fd7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000127.json b/manifests/batches/mathlib/000127.json
index 06168bee873220f0ec43e905ede53a88c40767ca..1f5aa6752b9963002f4a2dee5f1223059bf83b99 100644
--- a/manifests/batches/mathlib/000127.json
+++ b/manifests/batches/mathlib/000127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000127",
   "batch_fingerprint": "cdc14a3bf3c71894392d4c2fcd5583a8e8eb7acaf31ab7c464b73951772e8b82",
   "evidence": {
@@ -2398,22 +2397,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000127-0000-705a17571c11a7c1.parquet",
-      "sha256": "705a17571c11a7c100fad6755295ac68404d2fecf62e330de2d7c07169054e82",
-      "bytes": 56692,
-      "rows": 10,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000127-0000-da443e911fd55129.parquet",
-      "sha256": "da443e911fd55129ae464403a82a2a93f290fe5bd853eb0c90d26023114209f7",
-      "bytes": 53214,
-      "rows": 1,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.comp_coprod",
     "mathlib:MonoidHom.coprod_comp_inl",
@@ -2439,5 +2423,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Prod.lean\",null,null,\"MulHom.prod_unique\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Prod.lean\",null,null,\"Prod.mk_one_mul_mk_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Prod.lean\",null,null,\"Prod.one_mk_mul_one_mk\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56692,
+      "path": "data/train/p08/mathlib-000127-0000-705a17571c11a7c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "705a17571c11a7c100fad6755295ac68404d2fecf62e330de2d7c07169054e82"
+    },
+    {
+      "bytes": 53214,
+      "path": "data/internal_test/p08/mathlib-000127-0000-da443e911fd55129.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "da443e911fd55129ae464403a82a2a93f290fe5bd853eb0c90d26023114209f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000128.json b/manifests/batches/mathlib/000128.json
index 0addb387feac8c802f46e635316474865e5da7bb..5812b028a937305cb2c36d4338bb19392b27495e 100644
--- a/manifests/batches/mathlib/000128.json
+++ b/manifests/batches/mathlib/000128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000128",
   "batch_fingerprint": "6fbb34d7d224fa1080eab189733229505bb215db26b29c2716cafe94c107fd24",
   "evidence": {
@@ -300,15 +299,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000128-0000-3202b1edbb039a72.parquet",
-      "sha256": "3202b1edbb039a728fc537c86da8a821d82872e87edbcf196b8de34d59f323bc",
-      "bytes": 50345,
-      "rows": 11,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemiconjBy.conj_mk",
     "mathlib:SemiconjBy.inv_inv_symm_iff",
@@ -328,5 +319,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Semiconj/Defs.lean\",null,null,\"SemiconjBy.mul_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Semiconj/Defs.lean\",null,null,\"SemiconjBy.one_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Semiconj/Defs.lean\",null,null,\"semiconjBy_iff_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50345,
+      "path": "data/train/pda/mathlib-000128-0000-3202b1edbb039a72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3202b1edbb039a728fc537c86da8a821d82872e87edbcf196b8de34d59f323bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000129.json b/manifests/batches/mathlib/000129.json
index 3cb54f9e321820c9ae33095402f675594a87632b..9fec46673e4100d9aa722a17c122be1d8075009a 100644
--- a/manifests/batches/mathlib/000129.json
+++ b/manifests/batches/mathlib/000129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000129",
   "batch_fingerprint": "5cb9c219487af463a77a4e50386aafa6ef16d60b2a0d21ac066e0e249b98fb3b",
   "evidence": {
@@ -349,19 +348,20 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000129-0000-bf321565ab9ea2d9.parquet",
-      "sha256": "bf321565ab9ea2d93a624a6935a7f953daba28a884c404c3025967149f3cf098",
-      "bytes": 35456,
-      "rows": 2,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Units.mk_semiconjBy"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Semiconj/Units.lean\",null,null,\"Units.mk_semiconjBy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35456,
+      "path": "data/train/p27/mathlib-000129-0000-bf321565ab9ea2d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bf321565ab9ea2d93a624a6935a7f953daba28a884c404c3025967149f3cf098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000130.json b/manifests/batches/mathlib/000130.json
index cafb4be0abaf656526c6f7937c64b3fdc0b2ff3e..220603629bcc70d029c96d4ad499afe9ae9341c4 100644
--- a/manifests/batches/mathlib/000130.json
+++ b/manifests/batches/mathlib/000130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000130",
   "batch_fingerprint": "e0b2a52cba0718e6f892d03147408b61108c7e96fa78dddcfa274037db7705b3",
   "evidence": {
@@ -7102,29 +7101,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000130-0000-2085463ece1520a6.parquet",
-      "sha256": "2085463ece1520a6bbcfa2669cd60ec961d72e2cbfb5a7dfbb31b988ab8e2d40",
-      "bytes": 592500,
-      "rows": 164,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/mathlib-000130-0000-6ce0b3d2ceeea64a.parquet",
-      "sha256": "6ce0b3d2ceeea64a188f3f2e267ce51a8f13ad5ee366fec4f240022776cb0b3c",
-      "bytes": 80650,
-      "rows": 14,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000130-0000-5dfc75608b5ec969.parquet",
-      "sha256": "5dfc75608b5ec9699baafd18344762460984f6fb31516ca04ede20a502e220e2",
-      "bytes": 94448,
-      "rows": 22,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Group.conj_mem_conjugatesOfSet",
     "mathlib:Group.conjugates_subset_normal",
@@ -7356,5 +7333,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Finite.lean\",null,null,\"Subgroup.card_le_one_iff_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Finite.lean\",null,null,\"Subgroup.eq_bot_iff_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Finite.lean\",null,null,\"Subgroup.eq_top_of_card_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592500,
+      "path": "data/train/p7d/mathlib-000130-0000-2085463ece1520a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 164,
+      "sha256": "2085463ece1520a6bbcfa2669cd60ec961d72e2cbfb5a7dfbb31b988ab8e2d40"
+    },
+    {
+      "bytes": 80650,
+      "path": "data/dev/p7d/mathlib-000130-0000-6ce0b3d2ceeea64a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6ce0b3d2ceeea64a188f3f2e267ce51a8f13ad5ee366fec4f240022776cb0b3c"
+    },
+    {
+      "bytes": 94448,
+      "path": "data/internal_test/p7d/mathlib-000130-0000-5dfc75608b5ec969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5dfc75608b5ec9699baafd18344762460984f6fb31516ca04ede20a502e220e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000131.json b/manifests/batches/mathlib/000131.json
index 0f6ed513766248559a567a52dfad5a562bcf73c4..314e03d49a039404793a64a5553238564b16b55e 100644
--- a/manifests/batches/mathlib/000131.json
+++ b/manifests/batches/mathlib/000131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000131",
   "batch_fingerprint": "05b71c1616641cc1f0580503ea120915e409c48015e08bdc71cb4522b43cd961",
   "evidence": {
@@ -2210,29 +2209,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000131-0000-04ae06f717b05ce5.parquet",
-      "sha256": "04ae06f717b05ce55c09a4afa4600cd346b26d1a15149f9476b4c7152fd0ab73",
-      "bytes": 80794,
-      "rows": 19,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/mathlib-000131-0000-6ed830c0f6a94ce8.parquet",
-      "sha256": "6ed830c0f6a94ce80e5b67c156044a0eea6c908c651c63b880483627a3a81e9b",
-      "bytes": 50989,
-      "rows": 4,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000131-0000-7e5e5709745ac760.parquet",
-      "sha256": "7e5e5709745ac7604020156e0f646bcf2298540908d9ed577625174658a20a6e",
-      "bytes": 40244,
-      "rows": 1,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subgroup.closure_inv",
     "mathlib:Subgroup.conj_smul_le_of_le",
@@ -2266,5 +2243,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Pointwise.lean\",null,null,\"coe_mul_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Pointwise.lean\",null,null,\"op_smul_coe_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subgroup/Pointwise.lean\",null,null,\"smul_coe_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80794,
+      "path": "data/train/p67/mathlib-000131-0000-04ae06f717b05ce5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "04ae06f717b05ce55c09a4afa4600cd346b26d1a15149f9476b4c7152fd0ab73"
+    },
+    {
+      "bytes": 50989,
+      "path": "data/dev/p67/mathlib-000131-0000-6ed830c0f6a94ce8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6ed830c0f6a94ce80e5b67c156044a0eea6c908c651c63b880483627a3a81e9b"
+    },
+    {
+      "bytes": 40244,
+      "path": "data/internal_test/p67/mathlib-000131-0000-7e5e5709745ac760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7e5e5709745ac7604020156e0f646bcf2298540908d9ed577625174658a20a6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000132.json b/manifests/batches/mathlib/000132.json
index e840ba119e20abf29c1ae856107e340484ca1904..54cacd5100022f5cb522e6c45a6d60723e2b9810 100644
--- a/manifests/batches/mathlib/000132.json
+++ b/manifests/batches/mathlib/000132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000132",
   "batch_fingerprint": "82cc73f2b54d28270f891708dbc3c582b34a0018e8b761a5d0872310ad43641f",
   "evidence": {
@@ -1447,29 +1446,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000132-0000-5732c52ea2c8aa3b.parquet",
-      "sha256": "5732c52ea2c8aa3b74dd8fe8462765f1ae817f5ba00e7fb1fff05b724bd5de6f",
-      "bytes": 89587,
-      "rows": 27,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000132-0000-e5fbc965a6ceb926.parquet",
-      "sha256": "e5fbc965a6ceb9268063568ff9dfd0f9e99f5d43650c7a84485b13ac60e46801",
-      "bytes": 38464,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000132-0000-9370fb0bb63d47dd.parquet",
-      "sha256": "9370fb0bb63d47dda2110a12df35da0a1571c8201e9636e3b2b0c22201b2392f",
-      "bytes": 52251,
-      "rows": 4,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubgroup.intCast_mem_zmultiples_one",
     "mathlib:AddSubgroup.intCast_mul_mem_zmultiples",
@@ -1519,5 +1496,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Basic.lean\",null,null,\"Submonoid.mem_iSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Basic.lean\",null,null,\"Submonoid.subsingleton_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Basic.lean\",null,null,\"Submonoid.sup_eq_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89587,
+      "path": "data/train/pa9/mathlib-000132-0000-5732c52ea2c8aa3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "5732c52ea2c8aa3b74dd8fe8462765f1ae817f5ba00e7fb1fff05b724bd5de6f"
+    },
+    {
+      "bytes": 38464,
+      "path": "data/dev/pa9/mathlib-000132-0000-e5fbc965a6ceb926.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e5fbc965a6ceb9268063568ff9dfd0f9e99f5d43650c7a84485b13ac60e46801"
+    },
+    {
+      "bytes": 52251,
+      "path": "data/internal_test/pa9/mathlib-000132-0000-9370fb0bb63d47dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9370fb0bb63d47dda2110a12df35da0a1571c8201e9636e3b2b0c22201b2392f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000133.json b/manifests/batches/mathlib/000133.json
index 5a2ee164e715b385240b0efe43960f615767c820..1ed8db4192d9bae128c79881195b0377bfa0f9ea 100644
--- a/manifests/batches/mathlib/000133.json
+++ b/manifests/batches/mathlib/000133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000133",
   "batch_fingerprint": "8555a75dee0ac17376fbf14fd293367ddb33966aca125fa1488a2bc9414ad244",
   "evidence": {
@@ -1913,29 +1912,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000133-0000-8eb42ee15f7d1d86.parquet",
-      "sha256": "8eb42ee15f7d1d86e2f452627de1560100671b8fd6bafc82deb52ee3200e544f",
-      "bytes": 175152,
-      "rows": 55,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000133-0000-15d58641294534dc.parquet",
-      "sha256": "15d58641294534dc0301a711793571576f4e56bbdef01c7e9be4e016d68cf50a",
-      "bytes": 56814,
-      "rows": 6,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000133-0000-4b95136166deb91a.parquet",
-      "sha256": "4b95136166deb91a5ccb8e5493a49e0e599f295d54627d40029c0f764eaf71ad",
-      "bytes": 57501,
-      "rows": 6,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubmonoid.mem_closure_singleton",
     "mathlib:FreeMonoid.mrange_lift",
@@ -2003,5 +1980,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Membership.lean\",null,null,\"ofAdd_image_multiples_eq_powers_ofAdd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/MulOpposite.lean\",null,null,\"Submonoid.op_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/MulOpposite.lean\",null,null,\"Submonoid.unop_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175152,
+      "path": "data/train/p98/mathlib-000133-0000-8eb42ee15f7d1d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "8eb42ee15f7d1d86e2f452627de1560100671b8fd6bafc82deb52ee3200e544f"
+    },
+    {
+      "bytes": 56814,
+      "path": "data/dev/p98/mathlib-000133-0000-15d58641294534dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "15d58641294534dc0301a711793571576f4e56bbdef01c7e9be4e016d68cf50a"
+    },
+    {
+      "bytes": 57501,
+      "path": "data/internal_test/p98/mathlib-000133-0000-4b95136166deb91a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4b95136166deb91a5ccb8e5493a49e0e599f295d54627d40029c0f764eaf71ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000134.json b/manifests/batches/mathlib/000134.json
index 6be08201e45acfd4db471f615f6b2891261a097a..fa13a8d7a8e920444fdcaefed062cccf1040a1e2 100644
--- a/manifests/batches/mathlib/000134.json
+++ b/manifests/batches/mathlib/000134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000134",
   "batch_fingerprint": "0c615bd1ccb9065b30ccb6ebb77cf35f36b3d042d91bbc1f03d09c16e0e222b7",
   "evidence": {
@@ -4268,29 +4267,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000134-0000-fb038c210dbb61e8.parquet",
-      "sha256": "fb038c210dbb61e83d75b983a4af538a7a27cee3f39823c109f78c6fb532e49b",
-      "bytes": 162059,
-      "rows": 39,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000134-0000-555ceaaa6f87ad5b.parquet",
-      "sha256": "555ceaaa6f87ad5ba645abdda21d47f9c659eda4c97feba77a2dce6d4d332860",
-      "bytes": 50605,
-      "rows": 5,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000134-0000-80ebefde260ff25a.parquet",
-      "sha256": "80ebefde260ff25ae3c528e4071187eaafcdfaf45b39b420f09f0f06bfc29767",
-      "bytes": 60588,
-      "rows": 4,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubmonoid.bot_mul",
     "mathlib:AddSubmonoid.mul_bot",
@@ -4362,5 +4339,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Pointwise.lean\",null,null,\"AddSubmonoid.pow_eq_closure_pow_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Pointwise.lean\",null,null,\"Submonoid.mem_closure_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Submonoid/Pointwise.lean\",null,null,\"Submonoid.sup_eq_closure_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162059,
+      "path": "data/train/p23/mathlib-000134-0000-fb038c210dbb61e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "fb038c210dbb61e83d75b983a4af538a7a27cee3f39823c109f78c6fb532e49b"
+    },
+    {
+      "bytes": 50605,
+      "path": "data/dev/p23/mathlib-000134-0000-555ceaaa6f87ad5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "555ceaaa6f87ad5ba645abdda21d47f9c659eda4c97feba77a2dce6d4d332860"
+    },
+    {
+      "bytes": 60588,
+      "path": "data/internal_test/p23/mathlib-000134-0000-80ebefde260ff25a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "80ebefde260ff25ae3c528e4071187eaafcdfaf45b39b420f09f0f06bfc29767"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000135.json b/manifests/batches/mathlib/000135.json
index d439b48d68bcff04f6f9b9b91bfaf1cc388f88a3..ac49aa6935adbaa422c25bb204a07fe3d7f86638 100644
--- a/manifests/batches/mathlib/000135.json
+++ b/manifests/batches/mathlib/000135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000135",
   "batch_fingerprint": "689727f1bcd3373ebb383d0168b8a905980a7576faf54f26f28bab165504f70a",
   "evidence": {
@@ -1824,22 +1823,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000135-0000-5ad8a66d0b99d5dc.parquet",
-      "sha256": "5ad8a66d0b99d5dcc2d36282f24d11e2a02e6eb2695a279e4a571539f2d58c20",
-      "bytes": 65909,
-      "rows": 12,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000135-0000-b19617fe70e65d6c.parquet",
-      "sha256": "b19617fe70e65d6cd3081d80ed3ce0280328fc41447d8119c9471fbe4767a40b",
-      "bytes": 41703,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subgroup.mem_iff_toUnits_mem_units",
     "mathlib:Subgroup.mem_units_iff_val_mem",
@@ -1863,5 +1847,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Basic.lean\",null,null,\"Subsemigroup.iSup_eq_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Basic.lean\",null,null,\"Subsemigroup.mem_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Basic.lean\",null,null,\"Subsemigroup.mem_iSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65909,
+      "path": "data/train/p9e/mathlib-000135-0000-5ad8a66d0b99d5dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5ad8a66d0b99d5dcc2d36282f24d11e2a02e6eb2695a279e4a571539f2d58c20"
+    },
+    {
+      "bytes": 41703,
+      "path": "data/internal_test/p9e/mathlib-000135-0000-b19617fe70e65d6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b19617fe70e65d6cd3081d80ed3ce0280328fc41447d8119c9471fbe4767a40b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000136.json b/manifests/batches/mathlib/000136.json
index 16ca1d4a69129b66c24224f722842fb9c89096e5..347299b5333705c4223770f4434a37584293e5ae 100644
--- a/manifests/batches/mathlib/000136.json
+++ b/manifests/batches/mathlib/000136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000136",
   "batch_fingerprint": "8852e77f9191daadd7b6ca664b4354d3c26011052a3541c22e9b3772ae9697e5",
   "evidence": {
@@ -1909,29 +1908,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000136-0000-5c3e6ad99e531cd1.parquet",
-      "sha256": "5c3e6ad99e531cd117324e0b09de2e75b70a6b20ce6e9bc5db67975e625d9bda",
-      "bytes": 73774,
-      "rows": 21,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000136-0000-a940c46eedcbe5ef.parquet",
-      "sha256": "a940c46eedcbe5ef0b956a042d72ef06e165d1962d7e59a32dac86fa2acf4328",
-      "bytes": 39412,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000136-0000-61a3ead644c8630f.parquet",
-      "sha256": "61a3ead644c8630f9f61d2c91a01f2fcc714ac5158f999333e0e7c3eabbed583",
-      "bytes": 38051,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulHom.map_srange",
     "mathlib:MulHom.srange_top_iff_surjective",
@@ -1965,5 +1942,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Operations.lean\",null,null,\"Subsemigroup.prod_eq_top_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Operations.lean\",null,null,\"Subsemigroup.prod_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Subsemigroup/Operations.lean\",null,null,\"Subsemigroup.top_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73774,
+      "path": "data/train/p59/mathlib-000136-0000-5c3e6ad99e531cd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5c3e6ad99e531cd117324e0b09de2e75b70a6b20ce6e9bc5db67975e625d9bda"
+    },
+    {
+      "bytes": 39412,
+      "path": "data/dev/p59/mathlib-000136-0000-a940c46eedcbe5ef.parquet",
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+      "rows": 1,
+      "sha256": "a940c46eedcbe5ef0b956a042d72ef06e165d1962d7e59a32dac86fa2acf4328"
+    },
+    {
+      "bytes": 38051,
+      "path": "data/internal_test/p59/mathlib-000136-0000-61a3ead644c8630f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "61a3ead644c8630f9f61d2c91a01f2fcc714ac5158f999333e0e7c3eabbed583"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000137.json b/manifests/batches/mathlib/000137.json
index 7882298bd1a3d026acc766fbfc9b27a48639b95e..ddc337a58b58455b84450829850d80a6a19f5900 100644
--- a/manifests/batches/mathlib/000137.json
+++ b/manifests/batches/mathlib/000137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000137",
   "batch_fingerprint": "8f2edc79164ce68fe491a841bd53991eb258f91b5b74a65db328c5616deb5ba6",
   "evidence": {
@@ -1590,29 +1589,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000137-0000-9d87fda51b639369.parquet",
-      "sha256": "9d87fda51b639369a7c874feeb7e75facc4c5da4fd4817b4ada8864d9f995316",
-      "bytes": 90489,
-      "rows": 23,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000137-0000-683f2d023c21979f.parquet",
-      "sha256": "683f2d023c21979f4b5d1c683294801905e859b6da44df6f2e3dbb9a5d88609d",
-      "bytes": 41187,
-      "rows": 2,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000137-0000-c0c600b091dde4bb.parquet",
-      "sha256": "c0c600b091dde4bb7e8420b27d25771bf7fc1b1567c36a2ba8fea08d66d13797",
-      "bytes": 43515,
-      "rows": 3,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.disjoint_mulSupport_iff",
     "mathlib:Function.mulSupport_along_fiber_subset",
@@ -1662,5 +1639,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Support.lean\",null,null,\"Pi.mulSupport_mulSingle_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Support.lean\",null,null,\"Pi.mulSupport_mulSingle_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Support.lean\",null,null,\"Set.image_inter_mulSupport_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90489,
+      "path": "data/train/p88/mathlib-000137-0000-9d87fda51b639369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "9d87fda51b639369a7c874feeb7e75facc4c5da4fd4817b4ada8864d9f995316"
+    },
+    {
+      "bytes": 41187,
+      "path": "data/dev/p88/mathlib-000137-0000-683f2d023c21979f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "683f2d023c21979f4b5d1c683294801905e859b6da44df6f2e3dbb9a5d88609d"
+    },
+    {
+      "bytes": 43515,
+      "path": "data/internal_test/p88/mathlib-000137-0000-c0c600b091dde4bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c0c600b091dde4bb7e8420b27d25771bf7fc1b1567c36a2ba8fea08d66d13797"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000138.json b/manifests/batches/mathlib/000138.json
index 8a09c3532590e09bd4d881fd445584269b50c6d7..4f8f5cc48ae9bf67b98b0a03c333538a023a6495 100644
--- a/manifests/batches/mathlib/000138.json
+++ b/manifests/batches/mathlib/000138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000138",
   "batch_fingerprint": "74a5c41d51bd87386fe646a1f96ad133d0f07b0b128c14961e715678e0efbf25",
   "evidence": {
@@ -1769,22 +1768,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000138-0000-46e1c36e5cac1a7c.parquet",
-      "sha256": "46e1c36e5cac1a7c3db417eac6e3da5f53d701dc2bb769ea363149ec883c1f8c",
-      "bytes": 93522,
-      "rows": 23,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000138-0000-10511f6a87da1bfc.parquet",
-      "sha256": "10511f6a87da1bfcf5fbffb46b0ab81bfd135e8a91e7d78042206bd74bcbd632",
-      "bytes": 45290,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniqueMul.exists_iff_exists_existsUnique",
     "mathlib:UniqueMul.mt",
@@ -1806,5 +1790,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/UniqueProds.lean\",null,null,\"UniqueMul.of_mulOpposite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/UniqueProds.lean\",null,null,\"UniqueMul.of_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/UniqueProds.lean\",null,null,\"UniqueMul.set_subsingleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93522,
+      "path": "data/train/p2f/mathlib-000138-0000-46e1c36e5cac1a7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "46e1c36e5cac1a7c3db417eac6e3da5f53d701dc2bb769ea363149ec883c1f8c"
+    },
+    {
+      "bytes": 45290,
+      "path": "data/dev/p2f/mathlib-000138-0000-10511f6a87da1bfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "10511f6a87da1bfcf5fbffb46b0ab81bfd135e8a91e7d78042206bd74bcbd632"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000139.json b/manifests/batches/mathlib/000139.json
index 2515a9f92a2e14759c8bdad33d6b247106d27d3e..112eeb5b6c5c5e76bbf3f081550172ec3efa4ebc 100644
--- a/manifests/batches/mathlib/000139.json
+++ b/manifests/batches/mathlib/000139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000139",
   "batch_fingerprint": "05426ad2eb7634e6c50a05dd88045d19cb67eff26818ba53a48d23829522eab2",
   "evidence": {
@@ -2073,29 +2072,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000139-0000-b69df5869d5887d3.parquet",
-      "sha256": "b69df5869d5887d3a65c423a5a0d8a7b935e3b95a9d3be5724525ccb4c168f00",
-      "bytes": 183499,
-      "rows": 76,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/mathlib-000139-0000-8fdc57693ca65d94.parquet",
-      "sha256": "8fdc57693ca65d94dc3669b1b2acf9dd58e010c0a4cab699e4a870f7033f897f",
-      "bytes": 42207,
-      "rows": 7,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/mathlib-000139-0000-d9774ca3c12c7555.parquet",
-      "sha256": "d9774ca3c12c75550c9df09443a2aae23f64eb675817947a70b80d366449844e",
-      "bytes": 44636,
-      "rows": 5,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUnit.div",
     "mathlib:IsUnit.div_div_cancel",
@@ -2237,5 +2214,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Units.lean\",null,null,\"mul_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Units.lean\",null,null,\"val_div_eq_divp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Units/Equiv.lean\",null,null,\"toUnits_val_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183499,
+      "path": "data/train/pcf/mathlib-000139-0000-b69df5869d5887d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "b69df5869d5887d3a65c423a5a0d8a7b935e3b95a9d3be5724525ccb4c168f00"
+    },
+    {
+      "bytes": 42207,
+      "path": "data/dev/pcf/mathlib-000139-0000-8fdc57693ca65d94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8fdc57693ca65d94dc3669b1b2acf9dd58e010c0a4cab699e4a870f7033f897f"
+    },
+    {
+      "bytes": 44636,
+      "path": "data/internal_test/pcf/mathlib-000139-0000-d9774ca3c12c7555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d9774ca3c12c75550c9df09443a2aae23f64eb675817947a70b80d366449844e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000140.json b/manifests/batches/mathlib/000140.json
index 149ecccb9882e89a301f594b020e133cff71e6c7..f3b4b3e9e43b330b429533f6dec4af17415b7da5 100644
--- a/manifests/batches/mathlib/000140.json
+++ b/manifests/batches/mathlib/000140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000140",
   "batch_fingerprint": "10578fd5f7bf4162a05c534251c2f3c85eae87c1329d919fdda9c3d6fe080ba1",
   "evidence": {
@@ -480,15 +479,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000140-0000-6ce58cef85b83bcc.parquet",
-      "sha256": "6ce58cef85b83bccddf985b2cf7b7d6ce50cb71f4dda885b80bded0b072d2b1b",
-      "bytes": 67090,
-      "rows": 14,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUnit.liftRight_inv_mul",
     "mathlib:IsUnit.map",
@@ -510,5 +501,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/Units/Hom.lean\",null,null,\"Units.mul_liftRight_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/WithOne/Basic.lean\",null,null,\"WithOne.map_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Group/WithOne/Basic.lean\",null,null,\"WithOne.map_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67090,
+      "path": "data/train/pf3/mathlib-000140-0000-6ce58cef85b83bcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6ce58cef85b83bccddf985b2cf7b7d6ce50cb71f4dda885b80bded0b072d2b1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000141.json b/manifests/batches/mathlib/000141.json
index 4a9df909b6cdb89b274a019d0e347a88a613d3ed..55ad7758b778da5d04d11ab69ef1068f4949a99a 100644
--- a/manifests/batches/mathlib/000141.json
+++ b/manifests/batches/mathlib/000141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000141",
   "batch_fingerprint": "a4a98982f287e3ccb159323c160504d88ca4307315c36cc87dfb000b4cf7d24a",
   "evidence": {
@@ -534,15 +533,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000141-0000-b8b0dc3da2939ecf.parquet",
-      "sha256": "b8b0dc3da2939ecfae8b3bf01ef8d1f47b583d0e5751c9a203b5a07af1a5f0ac",
-      "bytes": 39560,
-      "rows": 5,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemiconjBy.function_semiconj_mul_left",
     "mathlib:SemiconjBy.function_semiconj_mul_right_swap",
@@ -554,5 +545,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupPower/IterateHom.lean\",null,null,\"SemiconjBy.function_semiconj_mul_right_swap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupPower/IterateHom.lean\",null,null,\"mul_right_iterate_apply_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupPower/IterateHom.lean\",null,null,\"smul_iterate_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39560,
+      "path": "data/train/pe3/mathlib-000141-0000-b8b0dc3da2939ecf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b8b0dc3da2939ecfae8b3bf01ef8d1f47b583d0e5751c9a203b5a07af1a5f0ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000142.json b/manifests/batches/mathlib/000142.json
index fb078852eb3de30ad4a5450e231cd7fd730cb668..dd7cd3a0c50a9ce9ad08f0ab5fd182a1ce90b4f4 100644
--- a/manifests/batches/mathlib/000142.json
+++ b/manifests/batches/mathlib/000142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000142",
   "batch_fingerprint": "8f9a7f88829d3e0e5fd3806110fdb5a62586b20e28663727389264e73ab62982",
   "evidence": {
@@ -1335,22 +1334,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000142-0000-77085694e0efac3e.parquet",
-      "sha256": "77085694e0efac3eb85896adfd9ce85e0efa852cc4f1959bb9738354c7adfe8f",
-      "bytes": 108842,
-      "rows": 34,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/mathlib-000142-0000-59a2f49d4fef4e34.parquet",
-      "sha256": "59a2f49d4fef4e3495e53d06875baf2133406d867712c099c5c74e27697603fd",
-      "bytes": 49128,
-      "rows": 8,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GroupWithZero.mul_left_injective",
     "mathlib:GroupWithZero.mul_right_injective",
@@ -1424,5 +1408,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Basic.lean\",null,null,\"zpow_one_add\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Center.lean\",null,null,\"Set.div_mem_centralizer\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Center.lean\",null,null,\"Set.zero_mem_centralizer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108842,
+      "path": "data/train/p7b/mathlib-000142-0000-77085694e0efac3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "77085694e0efac3eb85896adfd9ce85e0efa852cc4f1959bb9738354c7adfe8f"
+    },
+    {
+      "bytes": 49128,
+      "path": "data/internal_test/p7b/mathlib-000142-0000-59a2f49d4fef4e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "59a2f49d4fef4e3495e53d06875baf2133406d867712c099c5c74e27697603fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000143.json b/manifests/batches/mathlib/000143.json
index e56037477a6198bd5a7c53f6ed03b6cfadc73fcf..91c6e0a2e3c88e44952a35a6a3d558191be2083a 100644
--- a/manifests/batches/mathlib/000143.json
+++ b/manifests/batches/mathlib/000143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000143",
   "batch_fingerprint": "68b9dd2a633eea8f7a4d5e8be19bef0f004116d06d0360fd5ae86dfc254ed244",
   "evidence": {
@@ -392,19 +391,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000143-0000-316b41e98b18b858.parquet",
-      "sha256": "316b41e98b18b858e2566143e9d66ee1907d66f99684cc8406a73d753c013759",
-      "bytes": 43491,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.div_left"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Commute.lean\",null,null,\"Commute.div_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43491,
+      "path": "data/train/pf5/mathlib-000143-0000-316b41e98b18b858.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "316b41e98b18b858e2566143e9d66ee1907d66f99684cc8406a73d753c013759"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000144.json b/manifests/batches/mathlib/000144.json
index c3c1d0c9233296c409e8b7bab165a8865ebc835e..2e85b656db13aff3ad64bd34ce813dc3b86de8c2 100644
--- a/manifests/batches/mathlib/000144.json
+++ b/manifests/batches/mathlib/000144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000144",
   "batch_fingerprint": "19612119baa2fde95d99b8f4431c2d0ef33046b0e4d16ef86c6d8b0af7e08f32",
   "evidence": {
@@ -1015,29 +1014,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000144-0000-c7e008015893f67c.parquet",
-      "sha256": "c7e008015893f67c5f0d1fa32c2c318e0609b75d81e96b774d1bf1faee38114c",
-      "bytes": 63830,
-      "rows": 17,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/mathlib-000144-0000-933c0d3cad2df836.parquet",
-      "sha256": "933c0d3cad2df836a3b981fcaceb5aeb6eb1ce066c8463641e33d937983a1eeb",
-      "bytes": 38771,
-      "rows": 1,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/mathlib-000144-0000-73bac071c4a5f9b3.parquet",
-      "sha256": "73bac071c4a5f9b347a185f578822e39aa7b6c1bd2f4338d2512797682dc486c",
-      "bytes": 27388,
-      "rows": 1,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsRelPrime.ne_zero_or_ne_zero",
     "mathlib:dvd_antisymm",
@@ -1067,5 +1044,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Divisibility.lean\",null,null,\"isRelPrime_of_no_nonunits_factors\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Divisibility.lean\",null,null,\"mul_dvd_mul_iff_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Divisibility.lean\",null,null,\"ne_zero_of_dvd_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63830,
+      "path": "data/train/p1e/mathlib-000144-0000-c7e008015893f67c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c7e008015893f67c5f0d1fa32c2c318e0609b75d81e96b774d1bf1faee38114c"
+    },
+    {
+      "bytes": 38771,
+      "path": "data/dev/p1e/mathlib-000144-0000-933c0d3cad2df836.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "933c0d3cad2df836a3b981fcaceb5aeb6eb1ce066c8463641e33d937983a1eeb"
+    },
+    {
+      "bytes": 27388,
+      "path": "data/internal_test/p1e/mathlib-000144-0000-73bac071c4a5f9b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "73bac071c4a5f9b347a185f578822e39aa7b6c1bd2f4338d2512797682dc486c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000145.json b/manifests/batches/mathlib/000145.json
index ba8910c7850a376b43c368a1328b3feb6d8009d6..41c472d2e3fd77891ac82fe3361c930d29285c5d 100644
--- a/manifests/batches/mathlib/000145.json
+++ b/manifests/batches/mathlib/000145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000145",
   "batch_fingerprint": "441e63691c6b1ef8c20b7e9f453d0b9e787331c57dc7c7fcbd766823e7b10f9f",
   "evidence": {
@@ -1021,29 +1020,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000145-0000-7a4ba064376b8e44.parquet",
-      "sha256": "7a4ba064376b8e4488959bef9fccb329d1bdd406403f988c31b32babcec7e515",
-      "bytes": 75527,
-      "rows": 17,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/mathlib-000145-0000-472439458bbe4488.parquet",
-      "sha256": "472439458bbe44888d40f10d665e257bb6fafa860df460762178e9a3b7e3fff3",
-      "bytes": 44147,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/mathlib-000145-0000-859f238bd4912671.parquet",
-      "sha256": "859f238bd4912671102fbe340bdc138a5a06f884f415e036ad2967fa42729f26",
-      "bytes": 44890,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.mulSupport_one_sub'",
     "mathlib:Function.support_div",
@@ -1073,5 +1050,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Indicator.lean\",null,null,\"Set.indicator_prod_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Indicator.lean\",null,null,\"Set.inter_indicator_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Indicator.lean\",null,null,\"Set.inter_indicator_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75527,
+      "path": "data/train/pb9/mathlib-000145-0000-7a4ba064376b8e44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7a4ba064376b8e4488959bef9fccb329d1bdd406403f988c31b32babcec7e515"
+    },
+    {
+      "bytes": 44147,
+      "path": "data/dev/pb9/mathlib-000145-0000-472439458bbe4488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "472439458bbe44888d40f10d665e257bb6fafa860df460762178e9a3b7e3fff3"
+    },
+    {
+      "bytes": 44890,
+      "path": "data/internal_test/pb9/mathlib-000145-0000-859f238bd4912671.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "859f238bd4912671102fbe340bdc138a5a06f884f415e036ad2967fa42729f26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000146.json b/manifests/batches/mathlib/000146.json
index 8ab7ecebf09ca55dad7ce0b889b22c7a1ee14e67..34deac879db64b6bff14373068be131aa1044855 100644
--- a/manifests/batches/mathlib/000146.json
+++ b/manifests/batches/mathlib/000146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000146",
   "batch_fingerprint": "121826c3c1a88f30a29fb2c014b323b9f2358bdd496d613b9c406e0a70b03447",
   "evidence": {
@@ -318,15 +317,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000146-0000-b7adcf3afbf9c9b7.parquet",
-      "sha256": "b7adcf3afbf9c9b79885ce5a71de875e9c4e51639fdb283797d5c7f787e070fe",
-      "bytes": 33979,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:invOf_div",
     "mathlib:nonzero_of_invertible"
@@ -334,5 +325,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Invertible.lean\",null,null,\"invOf_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Invertible.lean\",null,null,\"nonzero_of_invertible\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33979,
+      "path": "data/train/p30/mathlib-000146-0000-b7adcf3afbf9c9b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b7adcf3afbf9c9b79885ce5a71de875e9c4e51639fdb283797d5c7f787e070fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000147.json b/manifests/batches/mathlib/000147.json
index 988e34d19d56e6f6fc67bb52fbfd974f66022658..2c2ecdfa8371cb78b5552b8c4c6c9e19c856cda0 100644
--- a/manifests/batches/mathlib/000147.json
+++ b/manifests/batches/mathlib/000147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000147",
   "batch_fingerprint": "26de69814dfc35eb8f658851fc92d4b58b44b060569a737ab0057925c141939e",
   "evidence": {
@@ -1198,29 +1197,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000147-0000-0402b6e171975098.parquet",
-      "sha256": "0402b6e17197509802cdbc326f60efd4becec7491a24a0edcc02bb949c31e4ba",
-      "bytes": 72664,
-      "rows": 15,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/dev/mathlib-000147-0000-a6c1c82cf09afdac.parquet",
-      "sha256": "a6c1c82cf09afdac3576fb71336f644058ca23393f1db930af74d48f596b7c9e",
-      "bytes": 48126,
-      "rows": 2,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/mathlib-000147-0000-00695e5c6ac1a923.parquet",
-      "sha256": "00695e5c6ac1a9237e4a1feb42e2601ccbe4a28fa70cb4c192dd8521383546bc",
-      "bytes": 44094,
-      "rows": 3,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:inv_ne_zero",
     "mathlib:isUnit_iff_mem_nonZeroDivisors_of_finite",
@@ -1248,5 +1225,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean\",null,null,\"nmem_nonZeroDivisors_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean\",null,null,\"nonZeroDivisors.associated_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean\",null,null,\"nonZeroDivisorsLeft_eq_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72664,
+      "path": "data/train/p80/mathlib-000147-0000-0402b6e171975098.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0402b6e17197509802cdbc326f60efd4becec7491a24a0edcc02bb949c31e4ba"
+    },
+    {
+      "bytes": 48126,
+      "path": "data/dev/p80/mathlib-000147-0000-a6c1c82cf09afdac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a6c1c82cf09afdac3576fb71336f644058ca23393f1db930af74d48f596b7c9e"
+    },
+    {
+      "bytes": 44094,
+      "path": "data/internal_test/p80/mathlib-000147-0000-00695e5c6ac1a923.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00695e5c6ac1a9237e4a1feb42e2601ccbe4a28fa70cb4c192dd8521383546bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000148.json b/manifests/batches/mathlib/000148.json
index f0d09762ff0e61312aa1ffbce07f59fb69379bdb..f28cd7c645c2c64a9ecb9439342e16d5b83c48dd 100644
--- a/manifests/batches/mathlib/000148.json
+++ b/manifests/batches/mathlib/000148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000148",
   "batch_fingerprint": "e96a27c586a5124a76064ef680b54631306f04d8eb54714067d7c1830e99381b",
   "evidence": {
@@ -408,15 +407,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000148-0000-29fcab54692de589.parquet",
-      "sha256": "29fcab54692de589d2a25d9164d2a426e45754ac527ad6de4d5ac1b42fd5fd83",
-      "bytes": 48741,
-      "rows": 5,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemiconjBy.div_right",
     "mathlib:SemiconjBy.inv_symm_left_iff\u2080",
@@ -428,5 +419,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Semiconj.lean\",null,null,\"SemiconjBy.inv_symm_left_iff\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Semiconj.lean\",null,null,\"SemiconjBy.zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Semiconj.lean\",null,null,\"SemiconjBy.zero_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48741,
+      "path": "data/train/pdb/mathlib-000148-0000-29fcab54692de589.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "29fcab54692de589d2a25d9164d2a426e45754ac527ad6de4d5ac1b42fd5fd83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000149.json b/manifests/batches/mathlib/000149.json
index b761d6cda0f9be062f2b5f75901bfe13459aeb78..a7caf6a1925875b3991297d82e6bc1534aac9db3 100644
--- a/manifests/batches/mathlib/000149.json
+++ b/manifests/batches/mathlib/000149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000149",
   "batch_fingerprint": "65fb046a67b58d4cc448da6ee32c77bdfb33f8a59f6de0eda9b51af18590bdd6",
   "evidence": {
@@ -1491,29 +1490,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000149-0000-e53de56a508f14ad.parquet",
-      "sha256": "e53de56a508f14ad5c61916ad3ad3bf7077399cec4901013aeab49fdae2975d0",
-      "bytes": 150858,
-      "rows": 47,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/mathlib-000149-0000-dae159dbcbc83044.parquet",
-      "sha256": "dae159dbcbc830448ad3e6eee1310840c4341abb488b84823da07899ba842658",
-      "bytes": 35207,
-      "rows": 1,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/mathlib-000149-0000-e372c2c4dd9e91fb.parquet",
-      "sha256": "e372c2c4dd9e91fbc3727ec8bc1a1c6f479a8621609021df2cb11a11fb934ff4",
-      "bytes": 49135,
-      "rows": 3,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GroupWithZero.eq_zero_or_unit",
     "mathlib:Ring.inverse_mul_cancel",
@@ -1589,5 +1566,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Units/Basic.lean\",null,null,\"mul_eq_of_eq_mul_inv\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Units/Basic.lean\",null,null,\"zpow_neg_mul_zpow_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/Units/Basic.lean\",null,null,\"zpow_sub\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150858,
+      "path": "data/train/pa7/mathlib-000149-0000-e53de56a508f14ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "e53de56a508f14ad5c61916ad3ad3bf7077399cec4901013aeab49fdae2975d0"
+    },
+    {
+      "bytes": 35207,
+      "path": "data/dev/pa7/mathlib-000149-0000-dae159dbcbc83044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dae159dbcbc830448ad3e6eee1310840c4341abb488b84823da07899ba842658"
+    },
+    {
+      "bytes": 49135,
+      "path": "data/internal_test/pa7/mathlib-000149-0000-e372c2c4dd9e91fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e372c2c4dd9e91fbc3727ec8bc1a1c6f479a8621609021df2cb11a11fb934ff4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000150.json b/manifests/batches/mathlib/000150.json
index dbaa51bd5bec5ea6d69b9cec499420a5d445ca5d..1fb716b9beb901035d73bc940786064e75586590 100644
--- a/manifests/batches/mathlib/000150.json
+++ b/manifests/batches/mathlib/000150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000150",
   "batch_fingerprint": "4dfba2263048e328a0eb68a542fd002f02888fba222e91dde267e8df6aa2fa93",
   "evidence": {
@@ -576,15 +575,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000150-0000-c2b3d920fe4a3344.parquet",
-      "sha256": "c2b3d920fe4a33446039438fa7481c0ead84fb8f3c90afa0948d51985fe2bfff",
-      "bytes": 44009,
-      "rows": 3,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WithZero.map'_id",
     "mathlib:WithZero.unzero_mul"
@@ -592,5 +583,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/WithZero.lean\",null,null,\"WithZero.map'_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/GroupWithZero/WithZero.lean\",null,null,\"WithZero.unzero_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44009,
+      "path": "data/train/p4a/mathlib-000150-0000-c2b3d920fe4a3344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c2b3d920fe4a33446039438fa7481c0ead84fb8f3c90afa0948d51985fe2bfff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000151.json b/manifests/batches/mathlib/000151.json
index b95f02948a76c1abdc6cf3d2a0ef5a8011cc6d89..cdb11a6fcbe46ff9dd7a0885b05bd01dbe6b36e4 100644
--- a/manifests/batches/mathlib/000151.json
+++ b/manifests/batches/mathlib/000151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000151",
   "batch_fingerprint": "90c52b8fcddacba2c6d154ca9dcecb32ba682e1751f9cec3a0eb60b6125d0d86",
   "evidence": {
@@ -918,7 +917,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000152.json b/manifests/batches/mathlib/000152.json
index e2a1a385235ccecb3f1050c71685ef48fcc0c9e9..52292faf331f93fa41abb9d6e8687b3d0021a1dd 100644
--- a/manifests/batches/mathlib/000152.json
+++ b/manifests/batches/mathlib/000152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000152",
   "batch_fingerprint": "30592a36c98e65e827be8611e904355d7d5f7d48e3ca7fcbdff5cc11ae96913e",
   "evidence": {
@@ -566,7 +565,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000153.json b/manifests/batches/mathlib/000153.json
index 4a60fb8eaab7bca9c7837cafbccf8021238f14ff..6d65f125be51605895f2487aa181afa6d195584b 100644
--- a/manifests/batches/mathlib/000153.json
+++ b/manifests/batches/mathlib/000153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000153",
   "batch_fingerprint": "a4cc3a87d675c53a70c6f90f3affbea2ffd975cc1edab2a8295090560d8fc002",
   "evidence": {
@@ -84,39 +83,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CochainComplex.mapBifunctorShift\u2081Iso_trans_mapBifunctorShift\u2082Iso",
+    "mathlib:ComplexShape.next_eq'",
+    "mathlib:ComplexShape.prev_eq'",
+    "mathlib:ComplexShape.symm_symm"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/BifunctorShift.lean\",null,null,\"CochainComplex.mapBifunctorShift\u2081Iso_trans_mapBifunctorShift\u2082Iso\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.next_eq'\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.prev_eq'\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.symm_symm\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000153-0000-1f862a187ca9b3d3.parquet",
-      "sha256": "1f862a187ca9b3d330aa5f0841ef05dbadb81886b20f5f97cbb9cda1b406f814",
       "bytes": 333061,
+      "path": "data/train/p5b/mathlib-000153-0000-1f862a187ca9b3d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
+      "sha256": "1f862a187ca9b3d330aa5f0841ef05dbadb81886b20f5f97cbb9cda1b406f814"
     },
     {
-      "path": "data/train/mathlib-000153-0001-9ac58f310c0b89e0.parquet",
-      "sha256": "9ac58f310c0b89e05d8bcbab2779fbc45811afaef4541b8e042daff6a81b3972",
       "bytes": 335865,
+      "path": "data/train/p5b/mathlib-000153-0001-9ac58f310c0b89e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
+      "sha256": "9ac58f310c0b89e05d8bcbab2779fbc45811afaef4541b8e042daff6a81b3972"
     },
     {
-      "path": "data/internal_test/mathlib-000153-0000-fda5b7b17092964a.parquet",
-      "sha256": "fda5b7b17092964a0bfd4d5623e2b182b5a080d1fab2f6ed518036fe88409c73",
       "bytes": 41173,
+      "path": "data/internal_test/p5b/mathlib-000153-0000-fda5b7b17092964a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
+      "sha256": "fda5b7b17092964a0bfd4d5623e2b182b5a080d1fab2f6ed518036fe88409c73"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CochainComplex.mapBifunctorShift\u2081Iso_trans_mapBifunctorShift\u2082Iso",
-    "mathlib:ComplexShape.next_eq'",
-    "mathlib:ComplexShape.prev_eq'",
-    "mathlib:ComplexShape.symm_symm"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/BifunctorShift.lean\",null,null,\"CochainComplex.mapBifunctorShift\u2081Iso_trans_mapBifunctorShift\u2082Iso\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.next_eq'\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.prev_eq'\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShape.lean\",null,null,\"ComplexShape.symm_symm\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000154.json b/manifests/batches/mathlib/000154.json
index 95008f9c6ffe06cc9ecb1607eee5526131be3411..1169370e6e4dff6368410d891908fd5eca5dacb2 100644
--- a/manifests/batches/mathlib/000154.json
+++ b/manifests/batches/mathlib/000154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000154",
   "batch_fingerprint": "85af91da6ef75df4c6f37d026d1c7c2b47d11431b7656e58df3a1d94fe075a66",
   "evidence": {
@@ -534,22 +533,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000154-0000-376898fd5760f580.parquet",
-      "sha256": "376898fd5760f580eac92abcce8960fa38416ab06856f1390d76bbc85d38a84a",
-      "bytes": 61793,
-      "rows": 6,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/dev/mathlib-000154-0000-c57a16c1faeda91f.parquet",
-      "sha256": "c57a16c1faeda91f917f152cafb0049f16602f2b7a2ca1f6abbfe81e4298f951",
-      "bytes": 33193,
-      "rows": 1,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ComplexShape.\u03b5_add",
     "mathlib:ComplexShape.\u03b5_zero",
@@ -563,5 +547,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShapeSigns.lean\",null,null,\"ComplexShape.\u03b5\u2081_\u03b5\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShapeSigns.lean\",null,null,\"ComplexShape.\u03c0_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ComplexShapeSigns.lean\",null,null,\"ComplexShape.\u03c3_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61793,
+      "path": "data/train/pad/mathlib-000154-0000-376898fd5760f580.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "376898fd5760f580eac92abcce8960fa38416ab06856f1390d76bbc85d38a84a"
+    },
+    {
+      "bytes": 33193,
+      "path": "data/dev/pad/mathlib-000154-0000-c57a16c1faeda91f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c57a16c1faeda91f917f152cafb0049f16602f2b7a2ca1f6abbfe81e4298f951"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000155.json b/manifests/batches/mathlib/000155.json
index 42f5ce7831d1db5a4f1e9eb1e17fc19ac7b37c48..35b0dcea21ff6819b779c9a9c439bb4578e6fecf 100644
--- a/manifests/batches/mathlib/000155.json
+++ b/manifests/batches/mathlib/000155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000155",
   "batch_fingerprint": "048bd020cfffc51fea1026b1ee2c776a34d4c553447fc5cb6f8666ee20965368",
   "evidence": {
@@ -307,15 +306,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000155-0000-0995087460f186bc.parquet",
-      "sha256": "0995087460f186bca26ad034f48f6d80a2d67de7f084d42a3642626a6f7324d2",
-      "bytes": 68951,
-      "rows": 7,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DerivedCategory.HomologySequence.exact\u2082",
     "mathlib:HomotopyCategory.quasiIso_eq_subcategoryAcyclic_W",
@@ -325,5 +316,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DerivedCategory/Basic.lean\",null,null,\"HomotopyCategory.quasiIso_eq_subcategoryAcyclic_W\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DerivedCategory/Basic.lean\",null,null,\"HomotopyCategory.quotient_obj_mem_subcategoryAcyclic_iff_exactAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DerivedCategory/HomologySequence.lean\",null,null,\"DerivedCategory.HomologySequence.exact\u2082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68951,
+      "path": "data/train/pae/mathlib-000155-0000-0995087460f186bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0995087460f186bca26ad034f48f6d80a2d67de7f084d42a3642626a6f7324d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000156.json b/manifests/batches/mathlib/000156.json
index ecaee09ce361bd497617ca45bdbc28d39e1606b6..5cc818ebb7c121c813815e3881fd3b248594cd27 100644
--- a/manifests/batches/mathlib/000156.json
+++ b/manifests/batches/mathlib/000156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000156",
   "batch_fingerprint": "be3a59cce44bfdc97683587a8e3377f36c6a306e1c1a7c899f7351dc0e34b2c7",
   "evidence": {
@@ -130,15 +129,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000156-0000-b10a334f9cbc9768.parquet",
-      "sha256": "b10a334f9cbc976846dc322b0c411faa20845ff0999c1a87a360ddba3fec4be5",
-      "bytes": 55846,
-      "rows": 6,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.DifferentialObject.eqToHom_f'",
     "mathlib:DerivedCategory.triangleOfSES_distinguished",
@@ -148,5 +139,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DerivedCategory/ShortExact.lean\",null,null,\"DerivedCategory.triangleOfSES_distinguished\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DifferentialObject.lean\",null,null,\"CategoryTheory.DifferentialObject.eqToHom_f'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/DifferentialObject.lean\",null,null,\"HomologicalComplex.d_eqToHom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55846,
+      "path": "data/train/p2a/mathlib-000156-0000-b10a334f9cbc9768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b10a334f9cbc976846dc322b0c411faa20845ff0999c1a87a360ddba3fec4be5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000157.json b/manifests/batches/mathlib/000157.json
index 87e2a6e660e81a8fede74512a02e86db309d53d2..46d4d2a85bd1a35c802e9c8837b74880d01537a8 100644
--- a/manifests/batches/mathlib/000157.json
+++ b/manifests/batches/mathlib/000157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000157",
   "batch_fingerprint": "525d095f8efe341f05f5f521acabb2536d34cd76b0ab52018179299d227822a4",
   "evidence": {
@@ -428,15 +427,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000157-0000-db66b167d4290699.parquet",
-      "sha256": "db66b167d4290699dcb5c0c878669c3f2eb4a92031a4346cbb985af4327945f8",
-      "bytes": 67211,
-      "rows": 16,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ComplexShape.Embedding.r_eq_none",
     "mathlib:ComplexShape.Embedding.r_eq_some",
@@ -454,5 +445,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Embedding/Extend.lean\",null,null,\"HomologicalComplex.extend.d_none_eq_zero'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Embedding/Extend.lean\",null,null,\"HomologicalComplex.extend.isZero_X\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Embedding/Extend.lean\",null,null,\"HomologicalComplex.extend_d_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67211,
+      "path": "data/train/p09/mathlib-000157-0000-db66b167d4290699.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "db66b167d4290699dcb5c0c878669c3f2eb4a92031a4346cbb985af4327945f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000158.json b/manifests/batches/mathlib/000158.json
index de030f13464477a609f7336d2f3cdd7f1eecf08f..c685cf88eb13891adc036ee17f6d1bac8acc4a72 100644
--- a/manifests/batches/mathlib/000158.json
+++ b/manifests/batches/mathlib/000158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000158",
   "batch_fingerprint": "e82868258594193b7a286085f143373d27cf4efac66065eb039db8108e70357c",
   "evidence": {
@@ -778,29 +777,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000158-0000-3309b7e589ef10fb.parquet",
-      "sha256": "3309b7e589ef10fbfeac6f8443e7999b6352d720477b67cba13653b4536ed122",
-      "bytes": 95407,
-      "rows": 22,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/mathlib-000158-0000-4386cd4b4ab5e014.parquet",
-      "sha256": "4386cd4b4ab5e01446a0736b308e7bf54a8525ef064a658e192115489b2d7b1a",
-      "bytes": 104984,
-      "rows": 17,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/mathlib-000158-0000-a682a1bd7480d1f1.parquet",
-      "sha256": "a682a1bd7480d1f199396d489fbebd9c41443f3da4f4bb8bed68f7af1ab5bf03",
-      "bytes": 53206,
-      "rows": 3,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Exact.epi_kernel_lift",
     "mathlib:CategoryTheory.Preadditive.exact_iff_exact_of_iso",
@@ -834,5 +811,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Exact.lean\",null,null,\"CategoryTheory.kernelSubobject_arrow_eq_zero_of_exact_zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Exact.lean\",null,null,\"CategoryTheory.kernel_\u03b9_eq_zero_of_exact_zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Exact.lean\",null,null,\"CategoryTheory.mono_iff_exact_zero_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95407,
+      "path": "data/train/pdb/mathlib-000158-0000-3309b7e589ef10fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3309b7e589ef10fbfeac6f8443e7999b6352d720477b67cba13653b4536ed122"
+    },
+    {
+      "bytes": 104984,
+      "path": "data/dev/pdb/mathlib-000158-0000-4386cd4b4ab5e014.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4386cd4b4ab5e01446a0736b308e7bf54a8525ef064a658e192115489b2d7b1a"
+    },
+    {
+      "bytes": 53206,
+      "path": "data/internal_test/pdb/mathlib-000158-0000-a682a1bd7480d1f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a682a1bd7480d1f199396d489fbebd9c41443f3da4f4bb8bed68f7af1ab5bf03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000159.json b/manifests/batches/mathlib/000159.json
index f8ebe9097f8150e59f76b24cf77c0cffbb505ce1..0552c638f9241460c3d5b84971ebd66cfda4ffaa 100644
--- a/manifests/batches/mathlib/000159.json
+++ b/manifests/batches/mathlib/000159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000159",
   "batch_fingerprint": "e3ff73668aa8cd9657bf8b685d989fbc449c4da05ed498a76fc4fda1e75e2010",
   "evidence": {
@@ -1311,15 +1310,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000159-0000-38dc41d3f1481267.parquet",
-      "sha256": "38dc41d3f1481267f50058c68180edc080a6ffbcbfb0ce5b1a0dca21e46d3554",
-      "bytes": 43529,
-      "rows": 3,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex\u2082.d_comm",
     "mathlib:HomologicalComplex\u2082.d_f_comp_d_f",
@@ -1329,5 +1320,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalBicomplex.lean\",null,null,\"HomologicalComplex\u2082.d_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalBicomplex.lean\",null,null,\"HomologicalComplex\u2082.d_f_comp_d_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalBicomplex.lean\",null,null,\"HomologicalComplex\u2082.shape_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43529,
+      "path": "data/train/p25/mathlib-000159-0000-38dc41d3f1481267.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "38dc41d3f1481267f50058c68180edc080a6ffbcbfb0ce5b1a0dca21e46d3554"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000160.json b/manifests/batches/mathlib/000160.json
index 6ed2ec447437e2603b8193f0b79842ca925dbcde..ee40bb38e19f2505f080c1fd04fdf65b0fe0fab7 100644
--- a/manifests/batches/mathlib/000160.json
+++ b/manifests/batches/mathlib/000160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000160",
   "batch_fingerprint": "b73fcaa59ad14fdcd31ef8ffc48e3af8c759d4f570dbe7ae96c4e0ccd9bdd53c",
   "evidence": {
@@ -1439,29 +1438,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000160-0000-f065f419f869aa08.parquet",
-      "sha256": "f065f419f869aa08b67bd5c6711eb23f96dec8fd521c1b5fa5c73f8dc2113391",
-      "bytes": 276902,
-      "rows": 69,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/dev/mathlib-000160-0000-25c0c210073e103c.parquet",
-      "sha256": "25c0c210073e103cdddc454b1e384bd6772878efce1053b5aa4bfdc28c266a01",
-      "bytes": 50993,
-      "rows": 4,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/mathlib-000160-0000-03319dd09483fb2e.parquet",
-      "sha256": "03319dd09483fb2e8cc5fb85c518e340f80f97c9d24968b042bc3df5d8cfbbc0",
-      "bytes": 58961,
-      "rows": 7,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ChainComplex.mk'_d_1_0",
     "mathlib:ChainComplex.mkHom_f_succ_succ",
@@ -1547,5 +1524,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalComplex.lean\",null,null,\"HomologicalComplex.xPrevIsoSelf_comp_dTo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalComplex.lean\",null,null,\"HomologicalComplex.xPrevIso_comp_dTo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomologicalComplexAbelian.lean\",null,null,\"HomologicalComplex.exact_of_degreewise_exact\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276902,
+      "path": "data/train/pe0/mathlib-000160-0000-f065f419f869aa08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "f065f419f869aa08b67bd5c6711eb23f96dec8fd521c1b5fa5c73f8dc2113391"
+    },
+    {
+      "bytes": 50993,
+      "path": "data/dev/pe0/mathlib-000160-0000-25c0c210073e103c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "25c0c210073e103cdddc454b1e384bd6772878efce1053b5aa4bfdc28c266a01"
+    },
+    {
+      "bytes": 58961,
+      "path": "data/internal_test/pe0/mathlib-000160-0000-03319dd09483fb2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "03319dd09483fb2e8cc5fb85c518e340f80f97c9d24968b042bc3df5d8cfbbc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000161.json b/manifests/batches/mathlib/000161.json
index b05467c3cfe2ece7ee79d3552a80e2948c62072f..70f6a484bbc6f64ecd2c3d02ea0983182d8c07ff 100644
--- a/manifests/batches/mathlib/000161.json
+++ b/manifests/batches/mathlib/000161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000161",
   "batch_fingerprint": "043f31e882da4c679f0d56b6edd43770ca220016bb159428ab45b3c44d86ebb6",
   "evidence": {
@@ -106,22 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000161-0000-85a28370e03c86cd.parquet",
-      "sha256": "85a28370e03c86cd09380896e6aacbfff813693745777a5cffca471d58642df5",
-      "bytes": 99792,
-      "rows": 20,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/mathlib-000161-0000-8664484dbd018968.parquet",
-      "sha256": "8664484dbd0189687b2ef1828bd407d2323e8af9c8d7a4dbd03b47766fcf34ab",
-      "bytes": 52215,
-      "rows": 5,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex.biprodXIso_hom_fst",
     "mathlib:HomologicalComplex.biprodXIso_hom_snd",
@@ -161,5 +145,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Homology.lean\",null,null,\"cycles'Map_arrow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Homology.lean\",null,null,\"cycles'Map_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Homology.lean\",null,null,\"cycles'Map_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99792,
+      "path": "data/train/p27/mathlib-000161-0000-85a28370e03c86cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "85a28370e03c86cd09380896e6aacbfff813693745777a5cffca471d58642df5"
+    },
+    {
+      "bytes": 52215,
+      "path": "data/internal_test/p27/mathlib-000161-0000-8664484dbd018968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8664484dbd0189687b2ef1828bd407d2323e8af9c8d7a4dbd03b47766fcf34ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000162.json b/manifests/batches/mathlib/000162.json
index f0a49a908258bdc98c5ec913a83466444f7e2a73..131788223c03e4a33787542324d4fd4a80bed850 100644
--- a/manifests/batches/mathlib/000162.json
+++ b/manifests/batches/mathlib/000162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000162",
   "batch_fingerprint": "0760ed657c6415efd3ac89a025114f2233e484f5f433636c194b50f56d82f023",
   "evidence": {
@@ -1465,7 +1464,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000163.json b/manifests/batches/mathlib/000163.json
index d01adc63d621a7ba3444c6c2ff9fd3d3c6a01291..1eaf9e2fa6aaf7b848fd4df2379a69185032225f 100644
--- a/manifests/batches/mathlib/000163.json
+++ b/manifests/batches/mathlib/000163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000163",
   "batch_fingerprint": "d495501fb19ada5e7e02e0bc79472eb88acee5fe17b2dbeecd144e0865d48d23",
   "evidence": {
@@ -1113,29 +1112,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000163-0000-afef1c565feab142.parquet",
-      "sha256": "afef1c565feab142b4e88da9bcf20f5ecf13c64d4fca04df362e9fa60a3b34b6",
-      "bytes": 312915,
-      "rows": 64,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/mathlib-000163-0000-1dd36dbc78c2bcee.parquet",
-      "sha256": "1dd36dbc78c2bcee5692c3553229df7e2f72e9d39de88dd718a07514e7ea6079",
-      "bytes": 70864,
-      "rows": 3,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000163-0000-6d42652ffb7c14f6.parquet",
-      "sha256": "6d42652ffb7c14f64c58a002707dfcae6475956729e14536ebf53f68579cf633",
-      "bytes": 86106,
-      "rows": 5,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.NatTrans.mapHomotopyCategory_comp",
     "mathlib:CategoryTheory.NatTrans.mapHomotopyCategory_id",
@@ -1193,5 +1170,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory.lean\",null,null,\"CategoryTheory.NatTrans.mapHomotopyCategory_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory.lean\",null,null,\"HomotopyCategory.quotient_inverts_homotopyEquivalences\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory.lean\",null,null,\"HomotopyCategory.quotient_map_out_comp_out\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312915,
+      "path": "data/train/p14/mathlib-000163-0000-afef1c565feab142.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "afef1c565feab142b4e88da9bcf20f5ecf13c64d4fca04df362e9fa60a3b34b6"
+    },
+    {
+      "bytes": 70864,
+      "path": "data/dev/p14/mathlib-000163-0000-1dd36dbc78c2bcee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1dd36dbc78c2bcee5692c3553229df7e2f72e9d39de88dd718a07514e7ea6079"
+    },
+    {
+      "bytes": 86106,
+      "path": "data/internal_test/p14/mathlib-000163-0000-6d42652ffb7c14f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6d42652ffb7c14f64c58a002707dfcae6475956729e14536ebf53f68579cf633"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000164.json b/manifests/batches/mathlib/000164.json
index 80499345df01341229640499694114a09a425e81..768742b6be472147d79f8d31042a39e631df5d69 100644
--- a/manifests/batches/mathlib/000164.json
+++ b/manifests/batches/mathlib/000164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000164",
   "batch_fingerprint": "0a172889a526761b0509fabb56e35c0c638dd7f54627dbe7f31c54089b12d588",
   "evidence": {
@@ -3697,22 +3696,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000164-0000-17e9e3fedd8f53b7.parquet",
-      "sha256": "17e9e3fedd8f53b7ab3e80f8c241cc94cff6ad6cb6fb422d4cda88267c1d252f",
-      "bytes": 79313,
-      "rows": 4,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000164-0000-a527b6be9592a20d.parquet",
-      "sha256": "a527b6be9592a20d30240f0946671773bc5b0798c6ee59919138b15922327893",
-      "bytes": 127558,
-      "rows": 5,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CochainComplex.homOfDegreewiseSplit_f",
     "mathlib:CochainComplex.mappingCone.cocycleOfDegreewiseSplit_triangleRotateShortComplexSplitting_v",
@@ -3724,5 +3708,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean\",null,null,\"CochainComplex.mappingCone.cocycleOfDegreewiseSplit_triangleRotateShortComplexSplitting_v\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean\",null,null,\"CochainComplex.mappingConeHomOfDegreewiseSplitIso_inv_comp_triangle_mor\u2083\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean\",null,null,\"CochainComplex.shift_f_comp_mappingConeHomOfDegreewiseSplitIso_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79313,
+      "path": "data/train/pad/mathlib-000164-0000-17e9e3fedd8f53b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17e9e3fedd8f53b7ab3e80f8c241cc94cff6ad6cb6fb422d4cda88267c1d252f"
+    },
+    {
+      "bytes": 127558,
+      "path": "data/internal_test/pad/mathlib-000164-0000-a527b6be9592a20d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a527b6be9592a20d30240f0946671773bc5b0798c6ee59919138b15922327893"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000165.json b/manifests/batches/mathlib/000165.json
index c5c71b8dd7a74797e04201c223edc0136028eaf8..599e0f349dc0f21decda7771b168bd173c7780cd 100644
--- a/manifests/batches/mathlib/000165.json
+++ b/manifests/batches/mathlib/000165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000165",
   "batch_fingerprint": "cdcd8e43862188e423a40859435c9c658a8bbd1d54d3e0ef541297b22921309f",
   "evidence": {
@@ -4381,22 +4380,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000165-0000-7da79bcf2e112627.parquet",
-      "sha256": "7da79bcf2e112627fed863a446e42027bfe9807224b5a5eabcefc2d2e63b6880",
-      "bytes": 92208,
-      "rows": 22,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000165-0000-84266b51c435bbb0.parquet",
-      "sha256": "84266b51c435bbb0d6ca312df690fada96d0e9a76be9af5ce2f550a228969986",
-      "bytes": 44245,
-      "rows": 4,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CochainComplex.mappingCone.d_fst_v",
     "mathlib:CochainComplex.mappingCone.d_snd_v",
@@ -4446,5 +4430,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/MappingCone.lean\",null,null,\"CochainComplex.mappingCone.ofHom_desc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/MappingCone.lean\",null,null,\"CochainComplex.mappingCone.ofHom_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/MappingCone.lean\",null,null,\"CochainComplex.mappingCone.\u03b4_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92208,
+      "path": "data/train/p67/mathlib-000165-0000-7da79bcf2e112627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7da79bcf2e112627fed863a446e42027bfe9807224b5a5eabcefc2d2e63b6880"
+    },
+    {
+      "bytes": 44245,
+      "path": "data/internal_test/p67/mathlib-000165-0000-84266b51c435bbb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "84266b51c435bbb0d6ca312df690fada96d0e9a76be9af5ce2f550a228969986"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000166.json b/manifests/batches/mathlib/000166.json
index 19f81f7329960f4962f51912972038834f23cf49..9bd9e8f9f7de176e77eec6ecaecd5ba63e83cae6 100644
--- a/manifests/batches/mathlib/000166.json
+++ b/manifests/batches/mathlib/000166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000166",
   "batch_fingerprint": "ce05461ef7b1a67300e775de748487de94ec1e228f0b0eb2f2db3cb2cad1f2d8",
   "evidence": {
@@ -1655,7 +1654,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000167.json b/manifests/batches/mathlib/000167.json
index c6909c5568aa8472df27d6f9f2bd5a97b9674452..beb6a6d3aebced7baf64f9335f3b605f7a153dbb 100644
--- a/manifests/batches/mathlib/000167.json
+++ b/manifests/batches/mathlib/000167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000167",
   "batch_fingerprint": "012d9f211d6ddf8e535140e00c35f0ea6b7afece496864a499dfb7539701f92c",
   "evidence": {
@@ -726,22 +725,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000167-0000-10bc282067daec7b.parquet",
-      "sha256": "10bc282067daec7b6f1de773cab295ad64981889a9da7b2fecc0421ac7e9b88d",
-      "bytes": 90243,
-      "rows": 4,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000167-0000-f9731051f30cfdc2.parquet",
-      "sha256": "f9731051f30cfdc208d0dd7b5147c65e982af9b782a812ebabb0aa42a98dc768",
-      "bytes": 86107,
-      "rows": 3,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CochainComplex.ShiftSequence.shiftIso_hom_app",
     "mathlib:CochainComplex.ShiftSequence.shiftIso_inv_app",
@@ -755,5 +739,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/ShiftSequence.lean\",null,null,\"CochainComplex.shiftShortComplexFunctorIso_zero_add_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/ShiftSequence.lean\",null,null,\"HomotopyCategory.homologyFunctor_shiftMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCategory/ShiftSequence.lean\",null,null,\"HomotopyCategory.homologyShiftIso_hom_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90243,
+      "path": "data/train/p51/mathlib-000167-0000-10bc282067daec7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "10bc282067daec7b6f1de773cab295ad64981889a9da7b2fecc0421ac7e9b88d"
+    },
+    {
+      "bytes": 86107,
+      "path": "data/internal_test/p51/mathlib-000167-0000-f9731051f30cfdc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f9731051f30cfdc208d0dd7b5147c65e982af9b782a812ebabb0aa42a98dc768"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000168.json b/manifests/batches/mathlib/000168.json
index 61f763ecac9cd94ea6cf3f4e873f9123541c57e3..739572112a9dfae4cdff1a7375fb2f1330b8623b 100644
--- a/manifests/batches/mathlib/000168.json
+++ b/manifests/batches/mathlib/000168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000168",
   "batch_fingerprint": "d77d2f7452cdcb375d18f1ec728e48f8a4cfd44eaa9e184418947f43654a528d",
   "evidence": {
@@ -1381,29 +1380,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000168-0000-f5a7b1b33c6335d4.parquet",
-      "sha256": "f5a7b1b33c6335d488ef5a61f9c18940282fceac188514711853d4a5e7b9845f",
-      "bytes": 154505,
-      "rows": 31,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/mathlib-000168-0000-c0225250a24db928.parquet",
-      "sha256": "c0225250a24db928a1d95018bca3364fd65b23aadc9d298f2b30a4f8b8f7d233",
-      "bytes": 61575,
-      "rows": 5,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000168-0000-48c8be3a72135bb9.parquet",
-      "sha256": "48c8be3a72135bb9be6a42463db3a32619fb33b83189bd06c2fc08a5f8003f44",
-      "bytes": 57902,
-      "rows": 1,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex.cylinder.inlX_\u03c0",
     "mathlib:HomologicalComplex.cylinder.map_\u03b9\u2080_eq_map_\u03b9\u2081",
@@ -1451,5 +1428,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCofiber.lean\",null,null,\"HomologicalComplex.homotopyCofiber.inr_desc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCofiber.lean\",null,null,\"HomologicalComplex.homotopyCofiber.sndX_inrX\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/HomotopyCofiber.lean\",null,null,\"Homotopy.map_eq_of_inverts_homotopyEquivalences\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154505,
+      "path": "data/train/p88/mathlib-000168-0000-f5a7b1b33c6335d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "f5a7b1b33c6335d488ef5a61f9c18940282fceac188514711853d4a5e7b9845f"
+    },
+    {
+      "bytes": 61575,
+      "path": "data/dev/p88/mathlib-000168-0000-c0225250a24db928.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c0225250a24db928a1d95018bca3364fd65b23aadc9d298f2b30a4f8b8f7d233"
+    },
+    {
+      "bytes": 57902,
+      "path": "data/internal_test/p88/mathlib-000168-0000-48c8be3a72135bb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "48c8be3a72135bb9be6a42463db3a32619fb33b83189bd06c2fc08a5f8003f44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000169.json b/manifests/batches/mathlib/000169.json
index 1ec4cde49cf9e75ea36fe0e6cd946c2c1b30684f..ea84a2caa9ac9c901b05d2cf7a14e1dc3885bb55 100644
--- a/manifests/batches/mathlib/000169.json
+++ b/manifests/batches/mathlib/000169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000169",
   "batch_fingerprint": "2e5650841be082fed1c33cd23d099897ba9e0e2c0d12a631c6541f85cc4c2f08",
   "evidence": {
@@ -447,22 +446,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000169-0000-567a8beb0b4b82a0.parquet",
-      "sha256": "567a8beb0b4b82a0757c0e679bede9fe1f7921cd070a7381fbab669e48bd2434",
-      "bytes": 152994,
-      "rows": 21,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/mathlib-000169-0000-65ef20aa46b55321.parquet",
-      "sha256": "65ef20aa46b55321624f6582116c2f91075d74150550390a1b430429dff3a8e2",
-      "bytes": 53611,
-      "rows": 2,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:factorThruImageSubobject_comp_imageToKernel",
     "mathlib:homology'.comp_right_eq_comp_left",
@@ -496,5 +480,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ImageToKernel.lean\",null,null,\"imageToKernel_zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ImageToKernel.lean\",null,null,\"imageToKernel_zero_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ImageToKernel.lean\",null,null,\"image_le_kernel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152994,
+      "path": "data/train/p1a/mathlib-000169-0000-567a8beb0b4b82a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "567a8beb0b4b82a0757c0e679bede9fe1f7921cd070a7381fbab669e48bd2434"
+    },
+    {
+      "bytes": 53611,
+      "path": "data/dev/p1a/mathlib-000169-0000-65ef20aa46b55321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "65ef20aa46b55321624f6582116c2f91075d74150550390a1b430429dff3a8e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000170.json b/manifests/batches/mathlib/000170.json
index 4b3e74e7da43743c98bb990b85789533e7239396..256e7eb54bb5ee725103e6b88c667fbfd05fd493 100644
--- a/manifests/batches/mathlib/000170.json
+++ b/manifests/batches/mathlib/000170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000170",
   "batch_fingerprint": "f2f6147bb2abdb154c873e43e4770f573c295d5f8f67369f62eb491821e37309",
   "evidence": {
@@ -415,22 +414,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000170-0000-cd5837ad774ebd7e.parquet",
-      "sha256": "cd5837ad774ebd7e10f5119c956ed32cd42ec4f54bd1712db49210dd41d74094",
-      "bytes": 74673,
-      "rows": 12,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000170-0000-3d11ddc7619c4bd1.parquet",
-      "sha256": "3d11ddc7619c4bd1dadf651f0d1c96b803bb3a8595bdefc5f62ef4b111cd9a96",
-      "bytes": 78415,
-      "rows": 10,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.mapHomologicalComplex_upToQuasiIso_Q_inverts_quasiIso",
     "mathlib:HomologicalComplex.homologyFunctor_inverts_quasiIso",
@@ -450,5 +434,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Localization.lean\",null,null,\"HomotopyCategory.mem_quasiIso_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Localization.lean\",null,null,\"HomotopyCategory.quotient_map_mem_quasiIso_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Localization.lean\",null,null,\"HomotopyCategory.respectsIso_quasiIso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74673,
+      "path": "data/train/p36/mathlib-000170-0000-cd5837ad774ebd7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cd5837ad774ebd7e10f5119c956ed32cd42ec4f54bd1712db49210dd41d74094"
+    },
+    {
+      "bytes": 78415,
+      "path": "data/internal_test/p36/mathlib-000170-0000-3d11ddc7619c4bd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3d11ddc7619c4bd1dadf651f0d1c96b803bb3a8595bdefc5f62ef4b111cd9a96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000171.json b/manifests/batches/mathlib/000171.json
index a98e7888baa404160b02acd24e15e496a7344cf9..a31d073f00de14e2000451ac92ab87769f27e9c5 100644
--- a/manifests/batches/mathlib/000171.json
+++ b/manifests/batches/mathlib/000171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000171",
   "batch_fingerprint": "574312f2f3703061f354f3f9f23e02f6bfad49176fbbd0a4aa865e23afaf1243",
   "evidence": {
@@ -233,37 +232,38 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:ModuleCat.cycles'_ext",
+    "mathlib:ModuleCat.homology'_ext",
+    "mathlib:ModuleCat.homology'_ext'"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.cycles'_ext\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.homology'_ext\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.homology'_ext'\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000171-0000-493ef2c11fbba0ef.parquet",
-      "sha256": "493ef2c11fbba0efc950df0c8c40f2852a4e04529047c93427cb93e7731e23ff",
       "bytes": 190144,
+      "path": "data/train/p09/mathlib-000171-0000-493ef2c11fbba0ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
+      "sha256": "493ef2c11fbba0efc950df0c8c40f2852a4e04529047c93427cb93e7731e23ff"
     },
     {
-      "path": "data/train/mathlib-000171-0001-251f83c77f4dd981.parquet",
-      "sha256": "251f83c77f4dd981c0773db27af33559f55b0e1bd94edd2a27c6cb07e058446d",
       "bytes": 211279,
+      "path": "data/train/p09/mathlib-000171-0001-251f83c77f4dd981.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
+      "sha256": "251f83c77f4dd981c0773db27af33559f55b0e1bd94edd2a27c6cb07e058446d"
     },
     {
-      "path": "data/train/mathlib-000171-0002-f73f6d8726ed677f.parquet",
-      "sha256": "f73f6d8726ed677fae0a6a72ce925aa8b320787fd521281bad2ed2bc517aa7fd",
       "bytes": 136714,
+      "path": "data/train/p09/mathlib-000171-0002-f73f6d8726ed677f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
+      "sha256": "f73f6d8726ed677fae0a6a72ce925aa8b320787fd521281bad2ed2bc517aa7fd"
     }
-  ],
-  "proof_ids": [
-    "mathlib:ModuleCat.cycles'_ext",
-    "mathlib:ModuleCat.homology'_ext",
-    "mathlib:ModuleCat.homology'_ext'"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.cycles'_ext\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.homology'_ext\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ModuleCat.lean\",null,null,\"ModuleCat.homology'_ext'\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000172.json b/manifests/batches/mathlib/000172.json
index 11de9de0f435afd45e9e97e721a41abae7b818ea..809a120653160f15c8c555921ba98bbd16b316be 100644
--- a/manifests/batches/mathlib/000172.json
+++ b/manifests/batches/mathlib/000172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000172",
   "batch_fingerprint": "118fc095063d16f6b20bd9f2299ca87c7d028539bc64cc00c2073c528ac0c242",
   "evidence": {
@@ -1152,29 +1151,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000172-0000-ec0f528302939f34.parquet",
-      "sha256": "ec0f528302939f34d8f9cf834ebfe59078c7b9552f3bdf98992433578bfde8bb",
-      "bytes": 124975,
-      "rows": 27,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000172-0000-343afac84e24e3ab.parquet",
-      "sha256": "343afac84e24e3ab733a985ad99c17688ceb6f601106bbd65eb02f499bc45ef7",
-      "bytes": 47886,
-      "rows": 1,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000172-0000-3fc201ee129b7954.parquet",
-      "sha256": "3fc201ee129b7954494527904c6cec0ebe603146055efb276ece161ad0ec16e9",
-      "bytes": 82254,
-      "rows": 8,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex.eq_liftCycles_homology\u03c0_up_to_refinements",
     "mathlib:HomologicalComplex.mem_quasiIso_iff",
@@ -1212,5 +1189,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/QuasiIso.lean\",null,null,\"quasiIso_of_comp_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/QuasiIso.lean\",null,null,\"quasiIso_of_comp_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/Refinements.lean\",null,null,\"HomologicalComplex.eq_liftCycles_homology\u03c0_up_to_refinements\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124975,
+      "path": "data/train/pe3/mathlib-000172-0000-ec0f528302939f34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ec0f528302939f34d8f9cf834ebfe59078c7b9552f3bdf98992433578bfde8bb"
+    },
+    {
+      "bytes": 47886,
+      "path": "data/dev/pe3/mathlib-000172-0000-343afac84e24e3ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "343afac84e24e3ab733a985ad99c17688ceb6f601106bbd65eb02f499bc45ef7"
+    },
+    {
+      "bytes": 82254,
+      "path": "data/internal_test/pe3/mathlib-000172-0000-3fc201ee129b7954.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3fc201ee129b7954494527904c6cec0ebe603146055efb276ece161ad0ec16e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000173.json b/manifests/batches/mathlib/000173.json
index 277b5b0aa0db0181f1635cb5eafa1a2650fbb704..b13f2b2c694799e4c6212afc2ba2aeb46b011dd6 100644
--- a/manifests/batches/mathlib/000173.json
+++ b/manifests/batches/mathlib/000173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000173",
   "batch_fingerprint": "047c78dbd5cd923dad1c73d95ba8a783d316726b02f54d48cb971a0fc7c07722",
   "evidence": {
@@ -358,15 +357,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000173-0000-330d6c839f6519b3.parquet",
-      "sha256": "330d6c839f6519b394376e8c777b9bc74f48c0c41f8e4f872f7798a605c1ad7a",
-      "bytes": 69542,
-      "rows": 9,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.abCyclesIso_inv_apply_iCycles",
     "mathlib:CategoryTheory.ShortComplex.ab_zero_apply",
@@ -380,5 +371,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/Ab.lean\",null,null,\"CategoryTheory.ShortComplex.exact_iff_surjective_abToCycles\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/Abelian.lean\",null,null,\"CategoryTheory.ShortComplex.abelianImageToKernel_comp_kernel_\u03b9_comp_cokernel_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/Abelian.lean\",null,null,\"CategoryTheory.ShortComplex.kernel_\u03b9_comp_cokernel_\u03c0_comp_cokernelToAbelianCoimage\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69542,
+      "path": "data/train/pb2/mathlib-000173-0000-330d6c839f6519b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "330d6c839f6519b394376e8c777b9bc74f48c0c41f8e4f872f7798a605c1ad7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000174.json b/manifests/batches/mathlib/000174.json
index e1913ebddd120333ae3ed215bea481eac3358962..cbfcdd42338511336cac9fe5326ebaa0d800d2b0 100644
--- a/manifests/batches/mathlib/000174.json
+++ b/manifests/batches/mathlib/000174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000174",
   "batch_fingerprint": "1ca382821505c569463240600b96462a95bf2e4f5c31e113df165b3b7c24293f",
   "evidence": {
@@ -734,22 +733,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000174-0000-bc557c562357cbaf.parquet",
-      "sha256": "bc557c562357cbafe0cfe498e146834b11f7bfff33fa51ace0a2b70213a4de57",
-      "bytes": 120034,
-      "rows": 17,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000174-0000-40b4b0cbd0b3499b.parquet",
-      "sha256": "40b4b0cbd0b3499bc331b665176fc531a0b11ae8d6488d1046bc3f849c9bb60f",
-      "bytes": 58373,
-      "rows": 2,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Preadditive.epi_iff_surjective'",
     "mathlib:CategoryTheory.Preadditive.mono_iff_injective'",
@@ -769,5 +753,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ConcreteCategory.lean\",null,null,\"CategoryTheory.ShortComplex.exact_iff_of_concreteCategory\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ConcreteCategory.lean\",null,null,\"CategoryTheory.ShortComplex.i_cyclesMk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ConcreteCategory.lean\",null,null,\"CategoryTheory.ShortComplex.zero_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120034,
+      "path": "data/train/p6e/mathlib-000174-0000-bc557c562357cbaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "bc557c562357cbafe0cfe498e146834b11f7bfff33fa51ace0a2b70213a4de57"
+    },
+    {
+      "bytes": 58373,
+      "path": "data/dev/p6e/mathlib-000174-0000-40b4b0cbd0b3499b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "40b4b0cbd0b3499bc331b665176fc531a0b11ae8d6488d1046bc3f849c9bb60f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000175.json b/manifests/batches/mathlib/000175.json
index 678eff9d04af665a39315814d83dce3ab32cb662..dd225266d70688663dcc9d2f901a039ff8afd567 100644
--- a/manifests/batches/mathlib/000175.json
+++ b/manifests/batches/mathlib/000175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000175",
   "batch_fingerprint": "89d4abbe9ea78f90b7f574004b80054a2e9394e88e53ae4aeeb9b6143ccc2260",
   "evidence": {
@@ -3856,29 +3855,7 @@
     "validation_rejected_proofs": 19,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000175-0000-90befac3cf4ce420.parquet",
-      "sha256": "90befac3cf4ce4200af49320bdead07ee8b4258e81ee1a9d5302cedc62dbeb17",
-      "bytes": 434118,
-      "rows": 118,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000175-0000-2302baaa16dd63a8.parquet",
-      "sha256": "2302baaa16dd63a8ff0b5d2cc173fd4df6ce25f12b289ec40faa3956fb555b27",
-      "bytes": 52508,
-      "rows": 4,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000175-0000-58c1d44f90e6e8b1.parquet",
-      "sha256": "58c1d44f90e6e8b1d591e79b9abc055ed73c5e11ef4b70eeb5e6539d6706cb42",
-      "bytes": 61476,
-      "rows": 10,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.Exact.comp_descToInjective",
     "mathlib:CategoryTheory.ShortComplex.Exact.comp_eq_zero",
@@ -4008,5 +3985,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean\",null,null,\"HomologicalComplex.toCycles_cyclesIsoSc'_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean\",null,null,\"HomologicalComplex.\u03c0_homologyIsoSc'_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean\",null,null,\"HomologicalComplex.\u03c0_homologyIsoSc'_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434118,
+      "path": "data/train/p9e/mathlib-000175-0000-90befac3cf4ce420.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 118,
+      "sha256": "90befac3cf4ce4200af49320bdead07ee8b4258e81ee1a9d5302cedc62dbeb17"
+    },
+    {
+      "bytes": 52508,
+      "path": "data/dev/p9e/mathlib-000175-0000-2302baaa16dd63a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2302baaa16dd63a8ff0b5d2cc173fd4df6ce25f12b289ec40faa3956fb555b27"
+    },
+    {
+      "bytes": 61476,
+      "path": "data/internal_test/p9e/mathlib-000175-0000-58c1d44f90e6e8b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "58c1d44f90e6e8b1d591e79b9abc055ed73c5e11ef4b70eeb5e6539d6706cb42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000176.json b/manifests/batches/mathlib/000176.json
index c19a9466c8d547c06026af7580a5be5efbba6fdf..50dbab1d5ab729cb20e55875bc79e34b51f4785f 100644
--- a/manifests/batches/mathlib/000176.json
+++ b/manifests/batches/mathlib/000176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000176",
   "batch_fingerprint": "2cdc0f51e2e52f3d42ccc5e945c01ee9761cbe0a602ff86f73d13f5ab1ae0994",
   "evidence": {
@@ -2244,29 +2243,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000176-0000-fe50257df31cb818.parquet",
-      "sha256": "fe50257df31cb818fdcf6bdbf6136ed5b736992405ce0268db7b7f3c0160dfc0",
-      "bytes": 458777,
-      "rows": 105,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000176-0000-9e30343cc084b006.parquet",
-      "sha256": "9e30343cc084b006755f8fc73f09eae48840388d54932c63e41a1d611890f05c",
-      "bytes": 52380,
-      "rows": 3,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000176-0000-6379204fb9737dc4.parquet",
-      "sha256": "6379204fb9737dc41b4e2a620f61719c8eb0be0f2e8f57bdc853bff90989c89e",
-      "bytes": 68282,
-      "rows": 10,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.HomologyData.leftRightHomologyComparison'_eq",
     "mathlib:CategoryTheory.ShortComplex.HomologyMapData.comm",
@@ -2410,5 +2387,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean\",null,null,\"CategoryTheory.ShortComplex.leftHomology_ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean\",null,null,\"CategoryTheory.ShortComplex.liftCycles_leftHomology\u03c0_eq_zero_of_boundary\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean\",null,null,\"CategoryTheory.ShortComplex.toCycles_comp_leftHomology\u03c0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 458777,
+      "path": "data/train/p64/mathlib-000176-0000-fe50257df31cb818.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "fe50257df31cb818fdcf6bdbf6136ed5b736992405ce0268db7b7f3c0160dfc0"
+    },
+    {
+      "bytes": 52380,
+      "path": "data/dev/p64/mathlib-000176-0000-9e30343cc084b006.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9e30343cc084b006755f8fc73f09eae48840388d54932c63e41a1d611890f05c"
+    },
+    {
+      "bytes": 68282,
+      "path": "data/internal_test/p64/mathlib-000176-0000-6379204fb9737dc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6379204fb9737dc41b4e2a620f61719c8eb0be0f2e8f57bdc853bff90989c89e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000177.json b/manifests/batches/mathlib/000177.json
index 898beebfe28942d34f342d07a1845b7bf1d0d122..024793a3bfeb6d4b28eeafbaa2cab043a48370fe 100644
--- a/manifests/batches/mathlib/000177.json
+++ b/manifests/batches/mathlib/000177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000177",
   "batch_fingerprint": "23affd75800261f50500d68ba341141efe7e87ab5e893453e013d2040adfec56",
   "evidence": {
@@ -600,22 +599,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000177-0000-ccc9e4daa3742e4f.parquet",
-      "sha256": "ccc9e4daa3742e4fb8888c98453ffa9493852f5df6e8da136782ffc30b98b0d9",
-      "bytes": 93110,
-      "rows": 11,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000177-0000-e2bf2311516e7f36.parquet",
-      "sha256": "e2bf2311516e7f365439a81ecd844a3431ec6042ff46b1de55ea2703a1149719",
-      "bytes": 65608,
-      "rows": 2,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.Exact.moduleCat_range_eq_ker",
     "mathlib:CategoryTheory.ShortComplex.cyclesMap'_smul",
@@ -633,5 +617,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ModuleCat.lean\",null,null,\"CategoryTheory.ShortComplex.Exact.moduleCat_range_eq_ker\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ModuleCat.lean\",null,null,\"CategoryTheory.ShortComplex.exact_iff_surjective_moduleCatToCycles\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/ModuleCat.lean\",null,null,\"CategoryTheory.ShortComplex.toCycles_moduleCatCyclesIso_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93110,
+      "path": "data/train/p46/mathlib-000177-0000-ccc9e4daa3742e4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ccc9e4daa3742e4fb8888c98453ffa9493852f5df6e8da136782ffc30b98b0d9"
+    },
+    {
+      "bytes": 65608,
+      "path": "data/internal_test/p46/mathlib-000177-0000-e2bf2311516e7f36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e2bf2311516e7f365439a81ecd844a3431ec6042ff46b1de55ea2703a1149719"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000178.json b/manifests/batches/mathlib/000178.json
index b637cf8df5dd9d2dee32a64e421ca56a252589f7..5ed3e5b7bc49c48a37f59848ae92ce0bdc1bf226 100644
--- a/manifests/batches/mathlib/000178.json
+++ b/manifests/batches/mathlib/000178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000178",
   "batch_fingerprint": "6b708fcf12d81ea5ff9cb6c7e1d252919cb0b2cf7cf23bbc411fdeb501d745d8",
   "evidence": {
@@ -1029,29 +1028,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000178-0000-fdc3d5ff51f23c6a.parquet",
-      "sha256": "fdc3d5ff51f23c6a355e6caf7f9e10f14f450223ebb4b832b24eef4ec607f238",
-      "bytes": 416379,
-      "rows": 80,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000178-0000-2bd787b4367c6fc3.parquet",
-      "sha256": "2bd787b4367c6fc3bd14517edd79c1a623466fe0fe5825924bc29c3703426a08",
-      "bytes": 79832,
-      "rows": 6,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000178-0000-f9554c048491b798.parquet",
-      "sha256": "f9554c048491b7988f9ad7a2e61d4fc74b263376309b0c8a7939eb68a6b2dcb9",
-      "bytes": 47690,
-      "rows": 2,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.NatTrans.app_homology",
     "mathlib:CategoryTheory.ShortComplex.Homotopy.homologyMap'_congr",
@@ -1147,5 +1124,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/PreservesHomology.lean\",null,null,\"CategoryTheory.ShortComplex.mapOpcyclesIso_inv_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/PreservesHomology.lean\",null,null,\"CategoryTheory.ShortComplex.mapRightHomologyIso_hom_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/PreservesHomology.lean\",null,null,\"CategoryTheory.ShortComplex.mapRightHomologyIso_inv_naturality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416379,
+      "path": "data/train/p64/mathlib-000178-0000-fdc3d5ff51f23c6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 80,
+      "sha256": "fdc3d5ff51f23c6a355e6caf7f9e10f14f450223ebb4b832b24eef4ec607f238"
+    },
+    {
+      "bytes": 79832,
+      "path": "data/dev/p64/mathlib-000178-0000-2bd787b4367c6fc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2bd787b4367c6fc3bd14517edd79c1a623466fe0fe5825924bc29c3703426a08"
+    },
+    {
+      "bytes": 47690,
+      "path": "data/internal_test/p64/mathlib-000178-0000-f9554c048491b798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f9554c048491b7988f9ad7a2e61d4fc74b263376309b0c8a7939eb68a6b2dcb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000179.json b/manifests/batches/mathlib/000179.json
index 863593b7cb771064f20fa7aeaf25d2ad89ba8292..f1292ecee5faf0ea7ded6511cb58cdaf13a4f006 100644
--- a/manifests/batches/mathlib/000179.json
+++ b/manifests/batches/mathlib/000179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000179",
   "batch_fingerprint": "8536738caa96a9a59feef2cecb5e7c0f3e94b5227da702ab86da8de36d4a3404",
   "evidence": {
@@ -2152,29 +2151,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000179-0000-8b7b79f1ed49fa8a.parquet",
-      "sha256": "8b7b79f1ed49fa8a99a4aaaa3551277d9c576d4336f0d11cda9ea6484c85f67e",
-      "bytes": 205055,
-      "rows": 49,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/mathlib-000179-0000-5862dfa5ffc6f053.parquet",
-      "sha256": "5862dfa5ffc6f0537cca36555aba3e16a8c344a28189a37ba505574499e51ec8",
-      "bytes": 40415,
-      "rows": 2,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/internal_test/mathlib-000179-0000-7b6545d44ac8ca87.parquet",
-      "sha256": "7b6545d44ac8ca8750a7cb5fd561fdd54eece24e82ef2ff1e281843ba06a0e31",
-      "bytes": 78313,
-      "rows": 13,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_g'_\u03c4\u2083",
     "mathlib:CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_p",
@@ -2256,5 +2233,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean\",null,null,\"CategoryTheory.ShortComplex.rightHomology_ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean\",null,null,\"CategoryTheory.ShortComplex.rightHomology\u03b9_comp_fromOpcycles\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean\",null,null,\"CategoryTheory.ShortComplex.rightHomology\u03b9_descOpcycles_\u03c0_eq_zero_of_boundary\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205055,
+      "path": "data/train/pd1/mathlib-000179-0000-8b7b79f1ed49fa8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "8b7b79f1ed49fa8a99a4aaaa3551277d9c576d4336f0d11cda9ea6484c85f67e"
+    },
+    {
+      "bytes": 40415,
+      "path": "data/dev/pd1/mathlib-000179-0000-5862dfa5ffc6f053.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5862dfa5ffc6f0537cca36555aba3e16a8c344a28189a37ba505574499e51ec8"
+    },
+    {
+      "bytes": 78313,
+      "path": "data/internal_test/pd1/mathlib-000179-0000-7b6545d44ac8ca87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7b6545d44ac8ca8750a7cb5fd561fdd54eece24e82ef2ff1e281843ba06a0e31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000180.json b/manifests/batches/mathlib/000180.json
index 3cba0fd8266c1ee6fbc32b5259f9419079d871aa..b6a24c0ef9786b9c1bb57ac78cd0579c963fa88f 100644
--- a/manifests/batches/mathlib/000180.json
+++ b/manifests/batches/mathlib/000180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000180",
   "batch_fingerprint": "0034e4839dd04d54958c0b295f826b73dc5fe6ccdab38d3930dbb1d58d6a40f0",
   "evidence": {
@@ -1323,29 +1322,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000180-0000-c65797375b0ccff7.parquet",
-      "sha256": "c65797375b0ccff7a240ab6d0fbfdda8403bc1d7e470807afb82051ee8635cd5",
-      "bytes": 109627,
-      "rows": 31,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/mathlib-000180-0000-cf16123bda49fe68.parquet",
-      "sha256": "cf16123bda49fe68eb29e02255a35f81688d6deb188fb9366d2e1f38be5f53b7",
-      "bytes": 43119,
-      "rows": 3,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/mathlib-000180-0000-60aee452fd6cc78e.parquet",
-      "sha256": "60aee452fd6cc78e9c3502d1a83cbe21bf85439f99c7e3ca75584b38321b61a1",
-      "bytes": 42420,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShortComplex.ShortExact.map_of_exact",
     "mathlib:CategoryTheory.ShortComplex.SnakeInput.L\u2080X\u2082ToP_comp_pullback_snd",
@@ -1399,5 +1376,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/SnakeLemma.lean\",null,null,\"CategoryTheory.ShortComplex.SnakeInput.w\u2081\u2083_\u03c4\u2083\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/SnakeLemma.lean\",null,null,\"CategoryTheory.ShortComplex.SnakeInput.\u03b4_L\u2083_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/ShortComplex/SnakeLemma.lean\",null,null,\"CategoryTheory.ShortComplex.SnakeInput.\u03b4_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109627,
+      "path": "data/train/p91/mathlib-000180-0000-c65797375b0ccff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "c65797375b0ccff7a240ab6d0fbfdda8403bc1d7e470807afb82051ee8635cd5"
+    },
+    {
+      "bytes": 43119,
+      "path": "data/dev/p91/mathlib-000180-0000-cf16123bda49fe68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cf16123bda49fe68eb29e02255a35f81688d6deb188fb9366d2e1f38be5f53b7"
+    },
+    {
+      "bytes": 42420,
+      "path": "data/internal_test/p91/mathlib-000180-0000-60aee452fd6cc78e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "60aee452fd6cc78e9c3502d1a83cbe21bf85439f99c7e3ca75584b38321b61a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000181.json b/manifests/batches/mathlib/000181.json
index be56b6ac057819163017caf7bac7e6497abaa569..4429da70ed7432eec2950953292d97515a82ee9f 100644
--- a/manifests/batches/mathlib/000181.json
+++ b/manifests/batches/mathlib/000181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000181",
   "batch_fingerprint": "caef024d81f3611fe03afbaba3c1cae667b3b1378bd10e7cc1db6f6d26ed0701",
   "evidence": {
@@ -814,22 +813,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000181-0000-280bcc620d4ad5c0.parquet",
-      "sha256": "280bcc620d4ad5c0c2a2c3f38bf3c6650a367f26dec0f9b9fe9aba820042ddc8",
-      "bytes": 83947,
-      "rows": 14,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/mathlib-000181-0000-9bfeb0a83b38c01f.parquet",
-      "sha256": "9bfeb0a83b38c01f0777f81c0860cf40874c3865b728c17f000cc11ab5d06d20",
-      "bytes": 52027,
-      "rows": 3,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ChainComplex.exactAt_succ_single_obj",
     "mathlib:CochainComplex.exactAt_succ_single_obj",
@@ -865,5 +849,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/SingleHomology.lean\",null,null,\"HomologicalComplex.singleObjHomologySelfIso_inv_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/SingleHomology.lean\",null,null,\"HomologicalComplex.singleObjOpcyclesSelfIso_hom_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/SingleHomology.lean\",null,null,\"HomologicalComplex.singleObjOpcyclesSelfIso_inv_naturality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83947,
+      "path": "data/train/p7e/mathlib-000181-0000-280bcc620d4ad5c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "280bcc620d4ad5c0c2a2c3f38bf3c6650a367f26dec0f9b9fe9aba820042ddc8"
+    },
+    {
+      "bytes": 52027,
+      "path": "data/internal_test/p7e/mathlib-000181-0000-9bfeb0a83b38c01f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9bfeb0a83b38c01f0777f81c0860cf40874c3865b728c17f000cc11ab5d06d20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000182.json b/manifests/batches/mathlib/000182.json
index 0c4758242c74643d0d7a0beb24518838eb6bf2c7..6f1265bbe23e749c7087f6dab41cce7d549606ec 100644
--- a/manifests/batches/mathlib/000182.json
+++ b/manifests/batches/mathlib/000182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000182",
   "batch_fingerprint": "ccd7785725df01a6aaf5bed42c2979a196af25b1bf73ecb1033aa40ac38da329",
   "evidence": {
@@ -2566,29 +2565,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000182-0000-b6018005a9524433.parquet",
-      "sha256": "b6018005a9524433be8c91d0e6911062ffabcdcb5c657b3f8976196837824b89",
-      "bytes": 140399,
-      "rows": 25,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/dev/mathlib-000182-0000-1bc66977786999e8.parquet",
-      "sha256": "1bc66977786999e848435590aeb54c9319f0e0bde569d90b1c6fe6c6c9b42c0c",
-      "bytes": 84489,
-      "rows": 4,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000182-0000-4966312858f957c1.parquet",
-      "sha256": "4966312858f957c133a5d7f59493a94f9324eab89fb39293f190b093af93eb3c",
-      "bytes": 71733,
-      "rows": 2,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex\u2082.D\u2081_D\u2082",
     "mathlib:HomologicalComplex\u2082.d\u2081_eq_zero",
@@ -2634,5 +2611,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/TotalComplex.lean\",null,null,\"HomologicalComplex\u2082.\u03b9_D\u2081\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/TotalComplex.lean\",null,null,\"HomologicalComplex\u2082.\u03b9_D\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Homology/TotalComplex.lean\",null,null,\"HomologicalComplex\u2082.\u03b9_totalDesc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140399,
+      "path": "data/train/pdd/mathlib-000182-0000-b6018005a9524433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b6018005a9524433be8c91d0e6911062ffabcdcb5c657b3f8976196837824b89"
+    },
+    {
+      "bytes": 84489,
+      "path": "data/dev/pdd/mathlib-000182-0000-1bc66977786999e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1bc66977786999e848435590aeb54c9319f0e0bde569d90b1c6fe6c6c9b42c0c"
+    },
+    {
+      "bytes": 71733,
+      "path": "data/internal_test/pdd/mathlib-000182-0000-4966312858f957c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4966312858f957c133a5d7f59493a94f9324eab89fb39293f190b093af93eb3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000183.json b/manifests/batches/mathlib/000183.json
index 9a0b3fecdb4bec3365a737acc2c6bed8c25b08d3..4c8f2b9537ae7c6b70c8731f73f08197584bb434 100644
--- a/manifests/batches/mathlib/000183.json
+++ b/manifests/batches/mathlib/000183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000183",
   "batch_fingerprint": "532b7727087c9f2e9f839bd1d46cb8a9e342b1249794dd49cc89569cb84520e7",
   "evidence": {
@@ -607,22 +606,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000183-0000-717459d746b0aba8.parquet",
-      "sha256": "717459d746b0aba88c8e65d17eb2c332bfc93b06eb30861c008a6eab12c273a3",
-      "bytes": 97499,
-      "rows": 29,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/mathlib-000183-0000-6808a3e05f9fc228.parquet",
-      "sha256": "6808a3e05f9fc2281a3cd9f9206a83bc0b820a943c44fde3f62bd5de12fd4c33",
-      "bytes": 34507,
-      "rows": 1,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomologicalComplex\u2082.flip_totalFlipIso",
     "mathlib:HomologicalComplex\u2082.totalFlipIso_hom_f_D\u2081",
@@ -648,5 +632,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/IsPrimePow.lean\",null,null,\"isPrimePow_nat_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/IsPrimePow.lean\",null,null,\"isPrimePow_nat_iff_bounded\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/IsPrimePow.lean\",null,null,\"not_isPrimePow_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97499,
+      "path": "data/train/p01/mathlib-000183-0000-717459d746b0aba8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "717459d746b0aba88c8e65d17eb2c332bfc93b06eb30861c008a6eab12c273a3"
+    },
+    {
+      "bytes": 34507,
+      "path": "data/internal_test/p01/mathlib-000183-0000-6808a3e05f9fc228.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6808a3e05f9fc2281a3cd9f9206a83bc0b820a943c44fde3f62bd5de12fd4c33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000184.json b/manifests/batches/mathlib/000184.json
index 877b4d2bcc4d54c8ae1119c926e3047e260a982b..2f5069237fb8dfa5a350639ce21dcc628b33fc11 100644
--- a/manifests/batches/mathlib/000184.json
+++ b/manifests/batches/mathlib/000184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000184",
   "batch_fingerprint": "060e2c3c3239f9edb5230ce7968518dd9616a1428fc8fc08e0e77a4c47d675c0",
   "evidence": {
@@ -1461,19 +1460,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/mathlib-000184-0000-c96b359ece6d286c.parquet",
-      "sha256": "c96b359ece6d286cb7a3ad2273b2a86642de2fd0da39ecbc5d5a32b8782b6cb3",
-      "bytes": 100804,
-      "rows": 3,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:aux2"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Jordan/Basic.lean\",null,null,\"aux2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100804,
+      "path": "data/dev/pc1/mathlib-000184-0000-c96b359ece6d286c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c96b359ece6d286cb7a3ad2273b2a86642de2fd0da39ecbc5d5a32b8782b6cb3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000185.json b/manifests/batches/mathlib/000185.json
index fd7c60f15a9d86fcf2659680db6161fce74a274d..67f88bace27d21ffb10474e355d0a29c3d890961 100644
--- a/manifests/batches/mathlib/000185.json
+++ b/manifests/batches/mathlib/000185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000185",
   "batch_fingerprint": "b75c970c9a5ea37d4f82f60bd0515d67663adb8bcb41603cee062f59585bf821",
   "evidence": {
@@ -3168,29 +3167,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000185-0000-809a294e72f445cb.parquet",
-      "sha256": "809a294e72f445cb0a5217682788d554f6bfef978160233a1a3d5c8d13d304d0",
-      "bytes": 127981,
-      "rows": 30,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/mathlib-000185-0000-a8065c190dce1e4a.parquet",
-      "sha256": "a8065c190dce1e4acce8840457638f4ba2a91f8cef5ed9426ce8de76df5997a5",
-      "bytes": 42371,
-      "rows": 2,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/mathlib-000185-0000-b7861e2429e5a746.parquet",
-      "sha256": "b7861e2429e5a746ece0d63df720d93de124472ebb47030b9108ab40df084308",
-      "bytes": 74233,
-      "rows": 7,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieEquiv.coe_linearEquiv_injective",
     "mathlib:LieEquiv.symm_symm",
@@ -3234,5 +3211,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Basic.lean\",null,null,\"lie_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Basic.lean\",null,null,\"neg_lie\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Basic.lean\",null,null,\"sub_lie\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127981,
+      "path": "data/train/p9f/mathlib-000185-0000-809a294e72f445cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "809a294e72f445cb0a5217682788d554f6bfef978160233a1a3d5c8d13d304d0"
+    },
+    {
+      "bytes": 42371,
+      "path": "data/dev/p9f/mathlib-000185-0000-a8065c190dce1e4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a8065c190dce1e4acce8840457638f4ba2a91f8cef5ed9426ce8de76df5997a5"
+    },
+    {
+      "bytes": 74233,
+      "path": "data/internal_test/p9f/mathlib-000185-0000-b7861e2429e5a746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b7861e2429e5a746ece0d63df720d93de124472ebb47030b9108ab40df084308"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000186.json b/manifests/batches/mathlib/000186.json
index ad0feb352fb7ca811406be060b1733bc045958d3..de1097b9eff736871ba4ee317550891c1721dd2d 100644
--- a/manifests/batches/mathlib/000186.json
+++ b/manifests/batches/mathlib/000186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000186",
   "batch_fingerprint": "e4142615ac422d935bf0c2e91054963743e32a69542b019b4b31724b5e735a8e",
   "evidence": {
@@ -1602,15 +1601,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000186-0000-7b0eb0ed7cf7bbf0.parquet",
-      "sha256": "7b0eb0ed7cf7bbf09ce5492c10af16ce3078734c3402d75660f798efa5cfef03",
-      "bytes": 51534,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CartanMatrix.Relations.adE_of_eq_eq_zero",
     "mathlib:CartanMatrix.Relations.adF_of_eq_eq_zero"
@@ -1618,5 +1609,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/CartanMatrix.lean\",null,null,\"CartanMatrix.Relations.adE_of_eq_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/CartanMatrix.lean\",null,null,\"CartanMatrix.Relations.adF_of_eq_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51534,
+      "path": "data/train/pa2/mathlib-000186-0000-7b0eb0ed7cf7bbf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7b0eb0ed7cf7bbf09ce5492c10af16ce3078734c3402d75660f798efa5cfef03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000187.json b/manifests/batches/mathlib/000187.json
index 1cd018fdd59338e0f4283e1a673f14daf08bfba5..92aba2ecfc36c134c29f74ccc695b603fdbf95be 100644
--- a/manifests/batches/mathlib/000187.json
+++ b/manifests/batches/mathlib/000187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000187",
   "batch_fingerprint": "c81a33189599d14076be041715801d4ca6299998088c482251dea99c9bdadc9d",
   "evidence": {
@@ -436,15 +435,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000187-0000-ab28d18d8271623b.parquet",
-      "sha256": "ab28d18d8271623b6dc1784efa99846455af8bb7a8056e2cf85e7b92787aa769",
-      "bytes": 53819,
-      "rows": 5,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.lieCharacter_apply_lie",
     "mathlib:LieAlgebra.lieCharacter_apply_lie'",
@@ -456,5 +447,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/CartanSubalgebra.lean\",null,null,\"LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebra\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Character.lean\",null,null,\"LieAlgebra.lieCharacter_apply_lie\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Character.lean\",null,null,\"LieAlgebra.lieCharacter_apply_lie'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53819,
+      "path": "data/train/p5a/mathlib-000187-0000-ab28d18d8271623b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ab28d18d8271623b6dc1784efa99846455af8bb7a8056e2cf85e7b92787aa769"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000188.json b/manifests/batches/mathlib/000188.json
index 8d3f897626d3fb9f6432dcfc7c4276476b8066a1..7fa03e0a9adeb335163c1dbdac827b6c5abe1518 100644
--- a/manifests/batches/mathlib/000188.json
+++ b/manifests/batches/mathlib/000188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000188",
   "batch_fingerprint": "f1a7e517ee0f89881a6ff85d2d9f46938cbcc6ea8285e5d432e987adda0ae804",
   "evidence": {
@@ -536,29 +535,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000188-0000-84d03f5ecc8485e2.parquet",
-      "sha256": "84d03f5ecc8485e2508f1670e678063964b43500caa3e13a7c60a572628e0b37",
-      "bytes": 88563,
-      "rows": 14,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/mathlib-000188-0000-d4903bba9a142ca6.parquet",
-      "sha256": "d4903bba9a142ca6044e424e50c600d4f923b9bd7b6e4299a85fd320153ab237",
-      "bytes": 86206,
-      "rows": 2,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000188-0000-c5c4003f70893f3d.parquet",
-      "sha256": "c5c4003f70893f3d4e1976fd8b6beb45237bff295b24c838eec7fdd258ee1db0",
-      "bytes": 59608,
-      "rows": 4,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.Orthogonal.jb_transform",
     "mathlib:LieAlgebra.Orthogonal.mem_so",
@@ -584,5 +561,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/AdjointAction.lean\",null,null,\"LieDerivation.injective_ad_of_center_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/AdjointAction.lean\",null,null,\"LieDerivation.lie_ad\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/AdjointAction.lean\",null,null,\"LieDerivation.lie_der_ad_eq_ad_der\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88563,
+      "path": "data/train/p21/mathlib-000188-0000-84d03f5ecc8485e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "84d03f5ecc8485e2508f1670e678063964b43500caa3e13a7c60a572628e0b37"
+    },
+    {
+      "bytes": 86206,
+      "path": "data/dev/p21/mathlib-000188-0000-d4903bba9a142ca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d4903bba9a142ca6044e424e50c600d4f923b9bd7b6e4299a85fd320153ab237"
+    },
+    {
+      "bytes": 59608,
+      "path": "data/internal_test/p21/mathlib-000188-0000-c5c4003f70893f3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c5c4003f70893f3d4e1976fd8b6beb45237bff295b24c838eec7fdd258ee1db0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000189.json b/manifests/batches/mathlib/000189.json
index 639eb60b510d9db7abb27d2546b78063a05152bf..bd6ae1a96d0fe74b8dbfafc8b86ae6e4e38643e7 100644
--- a/manifests/batches/mathlib/000189.json
+++ b/manifests/batches/mathlib/000189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000189",
   "batch_fingerprint": "c2bf40a3d973d03e47a55079596d4723fd7e6b8ee5fb0ac8ef2282155c6ba24e",
   "evidence": {
@@ -843,22 +842,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000189-0000-2b72fc791abb8d97.parquet",
-      "sha256": "2b72fc791abb8d974ed5bdaf341669eb0cd4e2ff93f951046f96fd4656b3324c",
-      "bytes": 99558,
-      "rows": 14,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000189-0000-4648286e1eb08780.parquet",
-      "sha256": "4648286e1eb087808874d3e42f672297ca625bbe58c3e6b0798aca40028831d0",
-      "bytes": 54869,
-      "rows": 2,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieDerivation.IsKilling.ad_mem_orthogonal_of_mem_orthogonal",
     "mathlib:LieDerivation.IsKilling.exists_eq_ad",
@@ -876,5 +860,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/Killing.lean\",null,null,\"LieDerivation.IsKilling.exists_eq_ad\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/Killing.lean\",null,null,\"LieDerivation.IsKilling.killingForm_restrict_range_ad\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Derivation/Killing.lean\",null,null,\"LieDerivation.IsKilling.range_ad_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99558,
+      "path": "data/train/p9e/mathlib-000189-0000-2b72fc791abb8d97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "2b72fc791abb8d974ed5bdaf341669eb0cd4e2ff93f951046f96fd4656b3324c"
+    },
+    {
+      "bytes": 54869,
+      "path": "data/internal_test/p9e/mathlib-000189-0000-4648286e1eb08780.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4648286e1eb087808874d3e42f672297ca625bbe58c3e6b0798aca40028831d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000190.json b/manifests/batches/mathlib/000190.json
index 1decdcde0abcda6442b7936e493164408e9c5b3d..0b115b88b60a77009d1990c0bed7bc9d76d0f7c0 100644
--- a/manifests/batches/mathlib/000190.json
+++ b/manifests/batches/mathlib/000190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000190",
   "batch_fingerprint": "b946fba411a796f7fe02b4cef0be8d6b333a5996a2af586b5624af6015ad2883",
   "evidence": {
@@ -1336,7 +1335,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000191.json b/manifests/batches/mathlib/000191.json
index e6d222b6f88b2d7daf560fa20480d0615ba66dff..d2c7811d73625fc401f4ecc72b622a9d62a9cf67 100644
--- a/manifests/batches/mathlib/000191.json
+++ b/manifests/batches/mathlib/000191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000191",
   "batch_fingerprint": "b83dd01ba8c0c9a4a21d177c394dbd28cafabba93c95dc628ad001c631a16280",
   "evidence": {
@@ -1113,15 +1112,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000191-0000-83e62e4d0da95c4b.parquet",
-      "sha256": "83e62e4d0da95c4bedf5b2214909b71cd509c7da940ecb56d900bc98a7765f8f",
-      "bytes": 68772,
-      "rows": 16,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieSubalgebra.engel_zero",
     "mathlib:LieSubalgebra.mem_engel_iff",
@@ -1131,5 +1122,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/EngelSubalgebra.lean\",null,null,\"LieSubalgebra.engel_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/EngelSubalgebra.lean\",null,null,\"LieSubalgebra.mem_engel_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/EngelSubalgebra.lean\",null,null,\"LieSubalgebra.normalizer_engel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68772,
+      "path": "data/train/p47/mathlib-000191-0000-83e62e4d0da95c4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "83e62e4d0da95c4bedf5b2214909b71cd509c7da940ecb56d900bc98a7765f8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000192.json b/manifests/batches/mathlib/000192.json
index 7d1c518c298937226beae2fa5fcdfd37883e8574..872e73fb10255117718c503c637c3def34fb1fad 100644
--- a/manifests/batches/mathlib/000192.json
+++ b/manifests/batches/mathlib/000192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000192",
   "batch_fingerprint": "6e1d81f1dc4b93e83493b21f1836f5d0094425e7d3b63c6a1dc1a98fdf3c2f79",
   "evidence": {
@@ -2217,29 +2216,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000192-0000-98d28d409cd10b96.parquet",
-      "sha256": "98d28d409cd10b967102dd38d43d7170d1453ff204c638e4abe1206c1742c5a1",
-      "bytes": 232521,
-      "rows": 55,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/mathlib-000192-0000-14929dc6232f4fe4.parquet",
-      "sha256": "14929dc6232f4fe456032d5d022a9e9d1d67a7168843b9166a5c0906bb5d6858",
-      "bytes": 68410,
-      "rows": 3,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000192-0000-5b43b593a00ce259.parquet",
-      "sha256": "5b43b593a00ce2598de54d244b5a8fb1eb906da1ddd5cee2031f444b5b9c092e",
-      "bytes": 79340,
-      "rows": 12,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.InvariantForm.mem_orthogonal",
     "mathlib:LieAlgebra.InvariantForm.orthogonal_isCompl",
@@ -2289,5 +2266,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/InvariantForm.lean\",null,null,\"LieAlgebra.InvariantForm.orthogonal_isCompl_coe_submodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/InvariantForm.lean\",null,null,\"LieAlgebra.InvariantForm.restrict_nondegenerate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/InvariantForm.lean\",null,null,\"LieAlgebra.InvariantForm.restrict_orthogonal_nondegenerate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232521,
+      "path": "data/train/pe4/mathlib-000192-0000-98d28d409cd10b96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "98d28d409cd10b967102dd38d43d7170d1453ff204c638e4abe1206c1742c5a1"
+    },
+    {
+      "bytes": 68410,
+      "path": "data/dev/pe4/mathlib-000192-0000-14929dc6232f4fe4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "14929dc6232f4fe456032d5d022a9e9d1d67a7168843b9166a5c0906bb5d6858"
+    },
+    {
+      "bytes": 79340,
+      "path": "data/internal_test/pe4/mathlib-000192-0000-5b43b593a00ce259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5b43b593a00ce2598de54d244b5a8fb1eb906da1ddd5cee2031f444b5b9c092e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000193.json b/manifests/batches/mathlib/000193.json
index 85457cf19943fa116e01c5dcd564bf58d3b8bd66..dd23bda958db3b1e991d6faf8b9214ed2768a5d7 100644
--- a/manifests/batches/mathlib/000193.json
+++ b/manifests/batches/mathlib/000193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000193",
   "batch_fingerprint": "eeebc21e55c43a2de018975ef48a43166959a299b6bf13488b09cbe560ec6a7e",
   "evidence": {
@@ -237,22 +236,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000193-0000-7ed682c31d44a2bb.parquet",
-      "sha256": "7ed682c31d44a2bbd303c018693eb70380366139400022be89c61736b834b6a8",
-      "bytes": 68203,
-      "rows": 6,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000193-0000-507ea24c8b0e3f80.parquet",
-      "sha256": "507ea24c8b0e3f80b9256a8cd7d5d31873de6dc32e26d09effee250ecd7bd978",
-      "bytes": 46036,
-      "rows": 1,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.IsKilling.ideal_eq_bot_of_isLieAbelian",
     "mathlib:LieAlgebra.IsKilling.ker_killingForm_eq_bot",
@@ -268,5 +252,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Killing.lean\",null,null,\"LieAlgebra.killingForm_of_equiv_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Matrix.lean\",null,null,\"Matrix.lieConj_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Matrix.lean\",null,null,\"Matrix.lieConj_symm_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68203,
+      "path": "data/train/p50/mathlib-000193-0000-7ed682c31d44a2bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7ed682c31d44a2bbd303c018693eb70380366139400022be89c61736b834b6a8"
+    },
+    {
+      "bytes": 46036,
+      "path": "data/internal_test/p50/mathlib-000193-0000-507ea24c8b0e3f80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "507ea24c8b0e3f80b9256a8cd7d5d31873de6dc32e26d09effee250ecd7bd978"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000194.json b/manifests/batches/mathlib/000194.json
index d8dd3b0d0a78500be8d90d64946e567629489b3b..3ab28375c48c21b53e9fc9c5b7125e0abe1bcd1e 100644
--- a/manifests/batches/mathlib/000194.json
+++ b/manifests/batches/mathlib/000194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000194",
   "batch_fingerprint": "0814f17aab81721b87c9eaf655a77a010e61ec389a8db67bee09de356a8f7234",
   "evidence": {
@@ -3730,29 +3729,7 @@
     "validation_rejected_proofs": 20,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000194-0000-1b4859b5b4050acd.parquet",
-      "sha256": "1b4859b5b4050acdd0673492c6f43fcfa1c3f3d76246d839fb9fa02802d0c7a2",
-      "bytes": 200253,
-      "rows": 37,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/mathlib-000194-0000-c6bff0ab52cf5bd7.parquet",
-      "sha256": "c6bff0ab52cf5bd7eaa13f12ad20d77b9b4d0fcbdef7aed1de0ee6f97d005c74",
-      "bytes": 67393,
-      "rows": 5,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000194-0000-2bce81b191bd01f1.parquet",
-      "sha256": "2bce81b191bd01f1160ccac3f42be0e81978a64df7b44c3abb37726787974173",
-      "bytes": 64665,
-      "rows": 4,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.lieAlgebra_isNilpotent",
     "mathlib:Function.Surjective.lieAlgebra_isNilpotent",
@@ -3790,5 +3767,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Nilpotent.lean\",null,null,\"LieSubmodule.ucs_bot_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Nilpotent.lean\",null,null,\"LieSubmodule.ucs_eq_top_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Nilpotent.lean\",null,null,\"LieSubmodule.ucs_le_of_normalizer_eq_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200253,
+      "path": "data/train/p85/mathlib-000194-0000-1b4859b5b4050acd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "1b4859b5b4050acdd0673492c6f43fcfa1c3f3d76246d839fb9fa02802d0c7a2"
+    },
+    {
+      "bytes": 67393,
+      "path": "data/dev/p85/mathlib-000194-0000-c6bff0ab52cf5bd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c6bff0ab52cf5bd7eaa13f12ad20d77b9b4d0fcbdef7aed1de0ee6f97d005c74"
+    },
+    {
+      "bytes": 64665,
+      "path": "data/internal_test/p85/mathlib-000194-0000-2bce81b191bd01f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2bce81b191bd01f1160ccac3f42be0e81978a64df7b44c3abb37726787974173"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000195.json b/manifests/batches/mathlib/000195.json
index 6fd07b123684f0c98bb50dd7108784fe9c85e01b..1267009c5266e5eacdbe0decc9c85f7e6d2991f8 100644
--- a/manifests/batches/mathlib/000195.json
+++ b/manifests/batches/mathlib/000195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000195",
   "batch_fingerprint": "0dbc29b06cda4d73a2458d83e4efc4298ed25c6495704a3d0e3a708781228b82",
   "evidence": {
@@ -1018,22 +1017,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000195-0000-d513d97270fb35ae.parquet",
-      "sha256": "d513d97270fb35ae90a2a56b3cc3d8e3208a8d6094594152167265b34df84932",
-      "bytes": 251980,
-      "rows": 40,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/mathlib-000195-0000-2fd268a9f6a2e9a4.parquet",
-      "sha256": "2fd268a9f6a2e9a4ce7ded5f70beb54eb75e5e449d8162a01ed3e375dcecc261",
-      "bytes": 94593,
-      "rows": 11,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.toLieHom_injective",
     "mathlib:LieAlgebra.ad_eq_lmul_left_sub_lmul_right",
@@ -1079,5 +1063,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/OfAssociative.lean\",null,null,\"LieSubmodule.mapsTo_pow_toEnd_sub_algebraMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/OfAssociative.lean\",null,null,\"LieSubmodule.toEnd_comp_subtype_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/OfAssociative.lean\",null,null,\"LieSubmodule.toEnd_restrict_eq_toEnd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251980,
+      "path": "data/train/p23/mathlib-000195-0000-d513d97270fb35ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "d513d97270fb35ae90a2a56b3cc3d8e3208a8d6094594152167265b34df84932"
+    },
+    {
+      "bytes": 94593,
+      "path": "data/dev/p23/mathlib-000195-0000-2fd268a9f6a2e9a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2fd268a9f6a2e9a4ce7ded5f70beb54eb75e5e449d8162a01ed3e375dcecc261"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000196.json b/manifests/batches/mathlib/000196.json
index 888ee0df1a2b2645c2371389bb492552d839d32c..d8c80a1320fcbba1ce3a86a0ec5445fc69921de5 100644
--- a/manifests/batches/mathlib/000196.json
+++ b/manifests/batches/mathlib/000196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000196",
   "batch_fingerprint": "ebb5f83e35ba13f51d6b4cf7fcf23eb99ec1fade51419f08997bf127b940a8fc",
   "evidence": {
@@ -546,22 +545,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000196-0000-dfce086e4f8d4ba5.parquet",
-      "sha256": "dfce086e4f8d4ba5f1438ad4f06bf4d2478cf827b339cb2fba27fe947014ed98",
-      "bytes": 54827,
-      "rows": 6,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/mathlib-000196-0000-229b81deb2383953.parquet",
-      "sha256": "229b81deb238395370e7d21a615edfc9726d0d6ba075afe33a32a65a2ff22cf6",
-      "bytes": 34614,
-      "rows": 1,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.isRegular_iff_finrank_engel_eq_rank",
     "mathlib:LieAlgebra.rank_eq_natTrailingDegree",
@@ -577,5 +561,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Rank.lean\",null,null,\"LieAlgebra.isRegular_iff_finrank_engel_eq_rank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Rank.lean\",null,null,\"LieAlgebra.rank_eq_natTrailingDegree\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Rank.lean\",null,null,\"LieModule.rank_eq_natTrailingDegree\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54827,
+      "path": "data/train/pe9/mathlib-000196-0000-dfce086e4f8d4ba5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dfce086e4f8d4ba5f1438ad4f06bf4d2478cf827b339cb2fba27fe947014ed98"
+    },
+    {
+      "bytes": 34614,
+      "path": "data/dev/pe9/mathlib-000196-0000-229b81deb2383953.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "229b81deb238395370e7d21a615edfc9726d0d6ba075afe33a32a65a2ff22cf6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000197.json b/manifests/batches/mathlib/000197.json
index 8ad779107c6ba6684aefdb2f367618b799309883..74d5868024ff14e52f216acbd98ab152bdcce2ff 100644
--- a/manifests/batches/mathlib/000197.json
+++ b/manifests/batches/mathlib/000197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000197",
   "batch_fingerprint": "a4d54f5f9563a160635a8ac5d0543bcdf690a2f75bb9807bf9f1405f653f4001",
   "evidence": {
@@ -1014,29 +1013,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000197-0000-365acd59297a11e5.parquet",
-      "sha256": "365acd59297a11e57a561784f90be94ab83ae3386d63e6d9f0b38c86e738b6a1",
-      "bytes": 88379,
-      "rows": 12,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/mathlib-000197-0000-b5cc2f5a0871f1d0.parquet",
-      "sha256": "b5cc2f5a0871f1d0cbf72a9abaf1d2ed646b0a7a27fb20020f3aa92445231e20",
-      "bytes": 41508,
-      "rows": 1,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000197-0000-79ae3e87472b91fb.parquet",
-      "sha256": "79ae3e87472b91fb79a2ce653afb4aa14e29dd4765567446a7e06214fa89972f",
-      "bytes": 54723,
-      "rows": 6,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieAlgebra.abelian_radical_of_hasTrivialRadical",
     "mathlib:LieAlgebra.ad_ker_eq_bot_of_hasTrivialRadical",
@@ -1058,5 +1035,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/SkewAdjoint.lean\",null,null,\"skewAdjointLieSubalgebraEquiv_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/SkewAdjoint.lean\",null,null,\"skewAdjointLieSubalgebraEquiv_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/SkewAdjoint.lean\",null,null,\"skewAdjointMatricesLieSubalgebraEquiv_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88379,
+      "path": "data/train/pb9/mathlib-000197-0000-365acd59297a11e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "365acd59297a11e57a561784f90be94ab83ae3386d63e6d9f0b38c86e738b6a1"
+    },
+    {
+      "bytes": 41508,
+      "path": "data/dev/pb9/mathlib-000197-0000-b5cc2f5a0871f1d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b5cc2f5a0871f1d0cbf72a9abaf1d2ed646b0a7a27fb20020f3aa92445231e20"
+    },
+    {
+      "bytes": 54723,
+      "path": "data/internal_test/pb9/mathlib-000197-0000-79ae3e87472b91fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "79ae3e87472b91fb79a2ce653afb4aa14e29dd4765567446a7e06214fa89972f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000198.json b/manifests/batches/mathlib/000198.json
index 1decb5fd45d7a20842a6b910bebc2444ad2d874f..3c842af02af2e6acc7d4efea1626b14722380363 100644
--- a/manifests/batches/mathlib/000198.json
+++ b/manifests/batches/mathlib/000198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000198",
   "batch_fingerprint": "5d13c7f0ae975c68fb932fd29c4662bb90a1fde52580bd6f79df770caa2e987a",
   "evidence": {
@@ -1918,22 +1917,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000198-0000-5b2517181fe3b451.parquet",
-      "sha256": "5b2517181fe3b451cb79f0209ee3debe2aa920b3a1cea2182d732c588b7f743f",
-      "bytes": 89939,
-      "rows": 25,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000198-0000-fe90b38f08accf4e.parquet",
-      "sha256": "fe90b38f08accf4ed1525e3c5dccd25defec966e04ffc3d5840a732df67c45fa",
-      "bytes": 54362,
-      "rows": 5,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.lieAlgebra_isSolvable",
     "mathlib:Function.Surjective.lieAlgebra_isSolvable",
@@ -1963,5 +1947,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Solvable.lean\",null,null,\"LieAlgebra.radical_eq_top_of_isSolvable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Solvable.lean\",null,null,\"LieIdeal.derivedSeries_eq_bot_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Solvable.lean\",null,null,\"LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89939,
+      "path": "data/train/pc1/mathlib-000198-0000-5b2517181fe3b451.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5b2517181fe3b451cb79f0209ee3debe2aa920b3a1cea2182d732c588b7f743f"
+    },
+    {
+      "bytes": 54362,
+      "path": "data/internal_test/pc1/mathlib-000198-0000-fe90b38f08accf4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fe90b38f08accf4ed1525e3c5dccd25defec966e04ffc3d5840a732df67c45fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000199.json b/manifests/batches/mathlib/000199.json
index c88a60b5e874f5bcd04ec94ff2beefb3fbf2a8c3..7ea55f397ff344bf973515bd4d3f7d76f13668bb 100644
--- a/manifests/batches/mathlib/000199.json
+++ b/manifests/batches/mathlib/000199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000199",
   "batch_fingerprint": "f25d81a73d5d434d0adb7a7810594fc13fa866b9b131522731eb8f02b87f7ded",
   "evidence": {
@@ -4924,29 +4923,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000199-0000-b19b300624ab980c.parquet",
-      "sha256": "b19b300624ab980c038b49d655c66a157bdbba03fb5b59e027f6ac5faef54e69",
-      "bytes": 544616,
-      "rows": 144,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/dev/mathlib-000199-0000-7f123a7ba1b830d1.parquet",
-      "sha256": "7f123a7ba1b830d1f1cae3e72b110baad8104862bbfc36bace0468ff767f20f6",
-      "bytes": 61096,
-      "rows": 5,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000199-0000-cd0fe19e4ce29353.parquet",
-      "sha256": "cd0fe19e4ce293531bd007cf36d8c1d13eb87d09fcd5f6c39a306fcdfa04b0e2",
-      "bytes": 89626,
-      "rows": 17,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieHom.idealRange_eq_map",
     "mathlib:LieHom.idealRange_eq_top_of_surjective",
@@ -5128,5 +5105,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Submodule.lean\",null,null,\"LieSubmodule.subsingleton_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Submodule.lean\",null,null,\"LieSubmodule.sup_coe_toSubmodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Submodule.lean\",null,null,\"lie_mem_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544616,
+      "path": "data/train/p51/mathlib-000199-0000-b19b300624ab980c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 144,
+      "sha256": "b19b300624ab980c038b49d655c66a157bdbba03fb5b59e027f6ac5faef54e69"
+    },
+    {
+      "bytes": 61096,
+      "path": "data/dev/p51/mathlib-000199-0000-7f123a7ba1b830d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7f123a7ba1b830d1f1cae3e72b110baad8104862bbfc36bace0468ff767f20f6"
+    },
+    {
+      "bytes": 89626,
+      "path": "data/internal_test/p51/mathlib-000199-0000-cd0fe19e4ce29353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "cd0fe19e4ce293531bd007cf36d8c1d13eb87d09fcd5f6c39a306fcdfa04b0e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000200.json b/manifests/batches/mathlib/000200.json
index abe7bcd3d69c99c5f3bd2f8cba20be32096973e3..db3f56954d5cc7bf3d90f5fbdc6db70258a9f934 100644
--- a/manifests/batches/mathlib/000200.json
+++ b/manifests/batches/mathlib/000200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000200",
   "batch_fingerprint": "4eec8c55828e27fa05fab0b910a2b98d296a3f8faaeb1c4c9187e6f4afba32e5",
   "evidence": {
@@ -1913,22 +1912,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000200-0000-f87c4d1f588385da.parquet",
-      "sha256": "f87c4d1f588385dafffc47df0caa4ffee76a0c7d918f3fd06565e8f23a71461d",
-      "bytes": 233845,
-      "rows": 22,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000200-0000-bb332f62ac7392e6.parquet",
-      "sha256": "bb332f62ac7392e6cabae6dfeb5b8d297c7a01f3d964436afd56858f6f4b5085",
-      "bytes": 100316,
-      "rows": 4,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieIdeal.coe_killingCompl_top",
     "mathlib:LieIdeal.killingForm_eq",
@@ -1954,5 +1938,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/TraceForm.lean\",null,null,\"LieModule.traceForm_eq_zero_of_isNilpotent\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/TraceForm.lean\",null,null,\"LieModule.traceForm_lieInvariant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/TraceForm.lean\",null,null,\"LieSubmodule.traceForm_eq_of_le_idealizer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233845,
+      "path": "data/train/p79/mathlib-000200-0000-f87c4d1f588385da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f87c4d1f588385dafffc47df0caa4ffee76a0c7d918f3fd06565e8f23a71461d"
+    },
+    {
+      "bytes": 100316,
+      "path": "data/internal_test/p79/mathlib-000200-0000-bb332f62ac7392e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bb332f62ac7392e6cabae6dfeb5b8d297c7a01f3d964436afd56858f6f4b5085"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000201.json b/manifests/batches/mathlib/000201.json
index 90e8d84d79073f53339d0d19c217e93857d45635..8255ab4d2db82c7e6867f9d090e92f98ecd54ce9 100644
--- a/manifests/batches/mathlib/000201.json
+++ b/manifests/batches/mathlib/000201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000201",
   "batch_fingerprint": "06ff186992820c3a0e52f68b9a21e715e734bab448d712327cf567efab47e0be",
   "evidence": {
@@ -3907,15 +3906,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000201-0000-bbdcf31aa844a6fd.parquet",
-      "sha256": "bbdcf31aa844a6fd04d0f0afa6a6c742cdc0e7058829220a77db1c1ba9d1b29d",
-      "bytes": 59446,
-      "rows": 4,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniversalEnvelopingAlgebra.hom_ext",
     "mathlib:UniversalEnvelopingAlgebra.lift_\u03b9_apply",
@@ -3925,5 +3916,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/UniversalEnveloping.lean\",null,null,\"UniversalEnvelopingAlgebra.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/UniversalEnveloping.lean\",null,null,\"UniversalEnvelopingAlgebra.lift_\u03b9_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/UniversalEnveloping.lean\",null,null,\"UniversalEnvelopingAlgebra.lift_\u03b9_apply'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59446,
+      "path": "data/train/p22/mathlib-000201-0000-bbdcf31aa844a6fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bbdcf31aa844a6fd04d0f0afa6a6c742cdc0e7058829220a77db1c1ba9d1b29d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000202.json b/manifests/batches/mathlib/000202.json
index ccfd50506ba51f356f8b63ad51f936874c9c082c..7f6afe05d736316da87fa58896b53a6395280bae 100644
--- a/manifests/batches/mathlib/000202.json
+++ b/manifests/batches/mathlib/000202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000202",
   "batch_fingerprint": "52291ffbd0fa261b84f13c2db231ebd39079f0433abfdf74b799fb65417f7b19",
   "evidence": {
@@ -2474,22 +2473,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000202-0000-882761d456d4fbbe.parquet",
-      "sha256": "882761d456d4fbbef8180b47dd36a46b20abf68d4282ca44db9b770af4501959",
-      "bytes": 102371,
-      "rows": 16,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/mathlib-000202-0000-f459cbb8913c6daa.parquet",
-      "sha256": "f459cbb8913c6daa9f842ab2263379b6482827df38582f1a42907ad647c6be6a",
-      "bytes": 59729,
-      "rows": 4,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieModule.chainBotCoeff_neg",
     "mathlib:LieModule.chainBot_neg",
@@ -2515,5 +2499,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Chain.lean\",null,null,\"LieModule.weightSpace_add_chainTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Chain.lean\",null,null,\"LieModule.weightSpace_chainTopCoeff_add_one_zsmul_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Chain.lean\",null,null,\"LieModule.weightSpace_neg_zsmul_add_ne_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102371,
+      "path": "data/train/p6e/mathlib-000202-0000-882761d456d4fbbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "882761d456d4fbbef8180b47dd36a46b20abf68d4282ca44db9b770af4501959"
+    },
+    {
+      "bytes": 59729,
+      "path": "data/internal_test/p6e/mathlib-000202-0000-f459cbb8913c6daa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f459cbb8913c6daa9f842ab2263379b6482827df38582f1a42907ad647c6be6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000203.json b/manifests/batches/mathlib/000203.json
index cb2e3880a2701c48520bb65c6b9527a17ac72f69..fb0e90dfadf969e2016fdf787b47c85e0feb7a70 100644
--- a/manifests/batches/mathlib/000203.json
+++ b/manifests/batches/mathlib/000203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000203",
   "batch_fingerprint": "3ded5004cb427a400fcbd20acdeb33ae5d27d856d9ad0fb18effded6f8603511",
   "evidence": {
@@ -3618,22 +3617,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000203-0000-953ac67766f30574.parquet",
-      "sha256": "953ac67766f3057440a753c3d094f212593fe31f8e178378e6ff210b16b11430",
-      "bytes": 246324,
-      "rows": 11,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/mathlib-000203-0000-a0c31c8484184fe3.parquet",
-      "sha256": "a0c31c8484184fe395f11326fa5a1268955bc7517b5a9eb3c9d15b1f82b9e5e4",
-      "bytes": 45402,
-      "rows": 1,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LieModule.Weight.coe_toLinear_eq_zero_iff",
     "mathlib:LieModule.Weight.coe_toLinear_ne_zero_iff",
@@ -3647,5 +3631,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Linear.lean\",null,null,\"LieModule.shiftedWeightSpace.toEnd_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Linear.lean\",null,null,\"LieModule.trace_comp_toEnd_weightSpace_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Lie/Weights/Linear.lean\",null,null,\"LieModule.zero_lt_finrank_weightSpace\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246324,
+      "path": "data/train/p66/mathlib-000203-0000-953ac67766f30574.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "953ac67766f3057440a753c3d094f212593fe31f8e178378e6ff210b16b11430"
+    },
+    {
+      "bytes": 45402,
+      "path": "data/internal_test/p66/mathlib-000203-0000-a0c31c8484184fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a0c31c8484184fe395f11326fa5a1268955bc7517b5a9eb3c9d15b1f82b9e5e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000204.json b/manifests/batches/mathlib/000204.json
index e67a964013a38c96ca1b6a4af9d2d6ad539e00b6..df0e5abac40377cc26c6e38e68064b5f5de949be 100644
--- a/manifests/batches/mathlib/000204.json
+++ b/manifests/batches/mathlib/000204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000204",
   "batch_fingerprint": "4896ebc3add46bc839bdd1e6e7db34af8e4c6543a159a0165b947ca6b24381b9",
   "evidence": {
@@ -2789,15 +2788,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000204-0000-3fd08eddcbaba973.parquet",
-      "sha256": "3fd08eddcbaba97303afcb57eec4e3d074dfafc153ca0ddabd08358ea4fa61da",
-      "bytes": 62323,
-      "rows": 15,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearRecurrence.is_sol_mkSol",
     "mathlib:LinearRecurrence.mkSol_eq_init",
@@ -2807,5 +2798,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/LinearRecurrence.lean\",null,null,\"LinearRecurrence.is_sol_mkSol\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/LinearRecurrence.lean\",null,null,\"LinearRecurrence.mkSol_eq_init\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/LinearRecurrence.lean\",null,null,\"LinearRecurrence.sol_eq_of_eq_init\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62323,
+      "path": "data/train/pb7/mathlib-000204-0000-3fd08eddcbaba973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3fd08eddcbaba97303afcb57eec4e3d074dfafc153ca0ddabd08358ea4fa61da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000205.json b/manifests/batches/mathlib/000205.json
index 7d9368bfc99349c8f41a70629c2472e34be79e72..c16625be35597ea251d4e87a2dce18d67a7fb69f 100644
--- a/manifests/batches/mathlib/000205.json
+++ b/manifests/batches/mathlib/000205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000205",
   "batch_fingerprint": "f992038c6a45c2c981c476dbead4447635c15dc265b5549f80807b919e8bbac3",
   "evidence": {
@@ -904,22 +903,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000205-0000-ecf97f4c0fcfb12b.parquet",
-      "sha256": "ecf97f4c0fcfb12b751bbc910025fac04804917d357193818341ed6a056dcb14",
-      "bytes": 138635,
-      "rows": 40,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000205-0000-ace6afe653747abb.parquet",
-      "sha256": "ace6afe653747abb6ea2c34c549f1606e28fb5b45bff56f80133c54a4216dd29",
-      "bytes": 48023,
-      "rows": 6,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGroup.ModEq.add_iff_left",
     "mathlib:AddCommGroup.ModEq.add_iff_right",
@@ -1005,5 +989,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Basic.lean\",null,null,\"Set.indicator_smul_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Basic.lean\",null,null,\"Set.indicator_smul_apply_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Basic.lean\",null,null,\"map_ratCast_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138635,
+      "path": "data/train/p5b/mathlib-000205-0000-ecf97f4c0fcfb12b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "ecf97f4c0fcfb12b751bbc910025fac04804917d357193818341ed6a056dcb14"
+    },
+    {
+      "bytes": 48023,
+      "path": "data/internal_test/p5b/mathlib-000205-0000-ace6afe653747abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ace6afe653747abb6ea2c34c549f1606e28fb5b45bff56f80133c54a4216dd29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000206.json b/manifests/batches/mathlib/000206.json
index cf409e8e8ed81dcc018b6fe6c1ef9e1da585d923..d0740553e9be6edbf6f451174364bd6c8c803412 100644
--- a/manifests/batches/mathlib/000206.json
+++ b/manifests/batches/mathlib/000206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000206",
   "batch_fingerprint": "563919ec65e247f8229abe54d273a1d38bfd6d70f50436e623dfaac766c66404",
   "evidence": {
@@ -289,15 +288,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000206-0000-193ed5e246fd4edd.parquet",
-      "sha256": "193ed5e246fd4edd4832011c35058d4a9ae6b17c0acd4c9061041ccdf7be84b1",
-      "bytes": 55079,
-      "rows": 4,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.cast_card",
     "mathlib:Finset.sum_smul_sum"
@@ -305,5 +296,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/BigOperators.lean\",null,null,\"Finset.cast_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/BigOperators.lean\",null,null,\"Finset.sum_smul_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55079,
+      "path": "data/train/p7e/mathlib-000206-0000-193ed5e246fd4edd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "193ed5e246fd4edd4832011c35058d4a9ae6b17c0acd4c9061041ccdf7be84b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000207.json b/manifests/batches/mathlib/000207.json
index 17bcc5ca8f36a1ec5faee5969cb3c491f5d9165a..a3bd6fd827dfc2a3ddd279775edec938db6bb4ee 100644
--- a/manifests/batches/mathlib/000207.json
+++ b/manifests/batches/mathlib/000207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000207",
   "batch_fingerprint": "e6770794256c353497f6bb6467a38d6ff25200b550ca6137ec496fe27ebb67b2",
   "evidence": {
@@ -435,19 +434,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000207-0000-738da4aa4a8bb3f6.parquet",
-      "sha256": "738da4aa4a8bb3f6cb25962c7979e4eb52a3449177b310b64fb25a08b759179f",
-      "bytes": 51369,
-      "rows": 3,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.mk_le_of_module"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Card.lean\",null,null,\"Cardinal.mk_le_of_module\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51369,
+      "path": "data/train/p60/mathlib-000207-0000-738da4aa4a8bb3f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "738da4aa4a8bb3f6cb25962c7979e4eb52a3449177b310b64fb25a08b759179f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000208.json b/manifests/batches/mathlib/000208.json
index b62d6f0a42c5ab07ea17a3caa4a3419c978e4b7f..4d4943329038d0d98df7578644f62c8f2ff00d96 100644
--- a/manifests/batches/mathlib/000208.json
+++ b/manifests/batches/mathlib/000208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000208",
   "batch_fingerprint": "5dcde358049dcce9dd6cb48fc9ba4c766a213713b1090d530824f258f1140178",
   "evidence": {
@@ -709,29 +708,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000208-0000-49525835667106f8.parquet",
-      "sha256": "49525835667106f8bdb05bc30540d7c6d6dc0b81622d143a2327e07fbc29a81b",
-      "bytes": 172337,
-      "rows": 38,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/mathlib-000208-0000-d083441cac74067c.parquet",
-      "sha256": "d083441cac74067c6e5344e67eb89231a753d6824e996f44597cf8698c2d63e2",
-      "bytes": 41314,
-      "rows": 1,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000208-0000-9b89eb262d107abb.parquet",
-      "sha256": "9b89eb262d107abb269e551b4010c938a3eed922542004ddb190374ca5cd3a1c",
-      "bytes": 39774,
-      "rows": 2,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharZero.of_module",
     "mathlib:Convex.combo_self",
@@ -793,5 +770,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Defs.lean\",null,null,\"two_nsmul_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Defs.lean\",null,null,\"two_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Defs.lean\",null,null,\"zsmul_eq_smul_cast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172337,
+      "path": "data/train/p21/mathlib-000208-0000-49525835667106f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "49525835667106f8bdb05bc30540d7c6d6dc0b81622d143a2327e07fbc29a81b"
+    },
+    {
+      "bytes": 41314,
+      "path": "data/dev/p21/mathlib-000208-0000-d083441cac74067c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d083441cac74067c6e5344e67eb89231a753d6824e996f44597cf8698c2d63e2"
+    },
+    {
+      "bytes": 39774,
+      "path": "data/internal_test/p21/mathlib-000208-0000-9b89eb262d107abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9b89eb262d107abb269e551b4010c938a3eed922542004ddb190374ca5cd3a1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000209.json b/manifests/batches/mathlib/000209.json
index ea1474d4cd05fb6fbf076b453d191cbdda267a8c..8c52db7be23f266bc777b4daf10cf2292ea0e78c 100644
--- a/manifests/batches/mathlib/000209.json
+++ b/manifests/batches/mathlib/000209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000209",
   "batch_fingerprint": "48845b1d3cb42c8f3957006aff18bb263982f9ad5241f1f18a7fbd0f3eb7e017",
   "evidence": {
@@ -4119,29 +4118,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000209-0000-a56160ccbbce3e9f.parquet",
-      "sha256": "a56160ccbbce3e9f7194f2995e78834348b6c27c0e87e3386b1c5c4c6b341746",
-      "bytes": 104710,
-      "rows": 15,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/dev/mathlib-000209-0000-efce5326301e193f.parquet",
-      "sha256": "efce5326301e193f443ff467c62f9916b9f165ea297e727772de3c85635ad6c5",
-      "bytes": 43955,
-      "rows": 2,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/internal_test/mathlib-000209-0000-39be85cf28d06bce.parquet",
-      "sha256": "39be85cf28d06bce2155f1e93b253bb7b1ca153230f79a064c721fd6e881d04b",
-      "bytes": 99559,
-      "rows": 12,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddEquiv.toIntLinearEquiv_toAddEquiv",
     "mathlib:AddEquiv.toNatLinearEquiv_toAddEquiv",
@@ -4173,5 +4150,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/FinitePresentation.lean\",null,null,\"Module.FinitePresentation.equiv_quotient\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/FinitePresentation.lean\",null,null,\"Module.finitePresentation_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/FinitePresentation.lean\",null,null,\"Module.finitePresentation_of_free\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104710,
+      "path": "data/train/p7c/mathlib-000209-0000-a56160ccbbce3e9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a56160ccbbce3e9f7194f2995e78834348b6c27c0e87e3386b1c5c4c6b341746"
+    },
+    {
+      "bytes": 43955,
+      "path": "data/dev/p7c/mathlib-000209-0000-efce5326301e193f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "efce5326301e193f443ff467c62f9916b9f165ea297e727772de3c85635ad6c5"
+    },
+    {
+      "bytes": 99559,
+      "path": "data/internal_test/p7c/mathlib-000209-0000-39be85cf28d06bce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "39be85cf28d06bce2155f1e93b253bb7b1ca153230f79a064c721fd6e881d04b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000210.json b/manifests/batches/mathlib/000210.json
index a2d5578517daac86f36f2ef204aef51181f680c7..d817682e9338ac0956df3f23e237cb152b17d4b8 100644
--- a/manifests/batches/mathlib/000210.json
+++ b/manifests/batches/mathlib/000210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000210",
   "batch_fingerprint": "a01f972253aded343216a22e9c16df7776ad2b3bf358d5a2f55ae73d72b0ccb2",
   "evidence": {
@@ -240,19 +239,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000210-0000-13a5eb870d2360a5.parquet",
-      "sha256": "13a5eb870d2360a549b9c8716f2f623dfaff976fdd58bb7c3c65cac07f19816e",
-      "bytes": 47192,
-      "rows": 1,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.Gmodule.smulAddMonoidHom_apply_of_of"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/GradedModule.lean\",null,null,\"DirectSum.Gmodule.smulAddMonoidHom_apply_of_of\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47192,
+      "path": "data/train/p1a/mathlib-000210-0000-13a5eb870d2360a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "13a5eb870d2360a549b9c8716f2f623dfaff976fdd58bb7c3c65cac07f19816e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000211.json b/manifests/batches/mathlib/000211.json
index 9163414764e8ed694f78405a8d42b667872cae8d..94e00fcbec3889198ad3f694612c034d47c55c4f 100644
--- a/manifests/batches/mathlib/000211.json
+++ b/manifests/batches/mathlib/000211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000211",
   "batch_fingerprint": "bdbf3493dc037dd48268a592df259c24be1cbb45e10b9175553205460cb0216b",
   "evidence": {
@@ -996,22 +995,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000211-0000-efd6ae3d02752998.parquet",
-      "sha256": "efd6ae3d0275299846a816a70ae76aca0b7cd3794f46b13b84cedaa450a362c9",
-      "bytes": 89215,
-      "rows": 9,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000211-0000-a41b88dfd5309363.parquet",
-      "sha256": "a41b88dfd5309363b778d9a547822e92f8e86ae818d2591e1ad58c4c66ebb4c9",
-      "bytes": 81226,
-      "rows": 6,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidHom.toRatLinearMap_injective",
     "mathlib:Module.Baer.ExtensionOf.ext",
@@ -1027,5 +1011,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Injective.lean\",null,null,\"Module.Baer.chain_linearPMap_of_chain_extensionOf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Injective.lean\",null,null,\"Module.Baer.injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/Basic.lean\",null,null,\"AddMonoidHom.toRatLinearMap_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89215,
+      "path": "data/train/pac/mathlib-000211-0000-efd6ae3d02752998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "efd6ae3d0275299846a816a70ae76aca0b7cd3794f46b13b84cedaa450a362c9"
+    },
+    {
+      "bytes": 81226,
+      "path": "data/internal_test/pac/mathlib-000211-0000-a41b88dfd5309363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a41b88dfd5309363b778d9a547822e92f8e86ae818d2591e1ad58c4c66ebb4c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000212.json b/manifests/batches/mathlib/000212.json
index ebdb858bf2af3c402128ec5713d5c94298646538..c959e7cbb6092694dbb3d47aa70bcd531c5f2448 100644
--- a/manifests/batches/mathlib/000212.json
+++ b/manifests/batches/mathlib/000212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000212",
   "batch_fingerprint": "d13df9e1cf337dc427866c7451e09bb47599045f32debe196ae739edf6db7c19",
   "evidence": {
@@ -1915,22 +1914,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000212-0000-fe312eef7a857915.parquet",
-      "sha256": "fe312eef7a857915262d7bb1a29f5012eb5db2f6bfd3be636faac0e9b9ebabac",
-      "bytes": 200782,
-      "rows": 41,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000212-0000-4c57ab3fd237883c.parquet",
-      "sha256": "4c57ab3fd237883c8c62a7b07cc7a369a3f57bf0a7c75a3f0ba7c10c3accb79b",
-      "bytes": 37783,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidHom.toIntLinearMap_injective",
     "mathlib:AddMonoidHom.toNatLinearMap_injective",
@@ -1982,5 +1966,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/End.lean\",null,null,\"LinearMap.zero_smulRight\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/End.lean\",null,null,\"Module.End_isUnit_apply_inv_apply_of_isUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/End.lean\",null,null,\"Module.End_isUnit_inv_apply_apply_of_isUnit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200782,
+      "path": "data/train/pbd/mathlib-000212-0000-fe312eef7a857915.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "fe312eef7a857915262d7bb1a29f5012eb5db2f6bfd3be636faac0e9b9ebabac"
+    },
+    {
+      "bytes": 37783,
+      "path": "data/internal_test/pbd/mathlib-000212-0000-4c57ab3fd237883c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4c57ab3fd237883c8c62a7b07cc7a369a3f57bf0a7c75a3f0ba7c10c3accb79b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000213.json b/manifests/batches/mathlib/000213.json
index ba6cc69d2d3277f0d661de15e4160e6f17acee21..c6864ae1e7c7505d15253ba11f17899f8f7b23dc 100644
--- a/manifests/batches/mathlib/000213.json
+++ b/manifests/batches/mathlib/000213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000213",
   "batch_fingerprint": "f7ee99624ab87227a930b1036e7dfa571a72fbd8bda55fbe2b55fc3bb5a115d8",
   "evidence": {
@@ -1028,29 +1027,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000213-0000-878b388d588cda2e.parquet",
-      "sha256": "878b388d588cda2efa9e2de69addffa31b3e496a8da5eca12b2ac99dd33d7567",
-      "bytes": 406699,
-      "rows": 57,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/mathlib-000213-0000-8dfb9cbb6476a20d.parquet",
-      "sha256": "8dfb9cbb6476a20d91ac110415018086fefbd74dc15b95357e411806315f6cd7",
-      "bytes": 66891,
-      "rows": 4,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000213-0000-4f69b72655de3795.parquet",
-      "sha256": "4f69b72655de379539d02f75d991119fbf9432554244d209674f6fa666151a4b",
-      "bytes": 74771,
-      "rows": 7,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.exists_isNilRegular",
     "mathlib:LinearMap.isNilRegular_iff_coeff_polyCharpoly_nilRank_ne_zero",
@@ -1124,5 +1101,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/Polynomial.lean\",null,null,\"Matrix.toMvPolynomial_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/Polynomial.lean\",null,null,\"Matrix.toMvPolynomial_totalDegree_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LinearMap/Polynomial.lean\",null,null,\"Matrix.toMvPolynomial_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406699,
+      "path": "data/train/pea/mathlib-000213-0000-878b388d588cda2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "878b388d588cda2efa9e2de69addffa31b3e496a8da5eca12b2ac99dd33d7567"
+    },
+    {
+      "bytes": 66891,
+      "path": "data/dev/pea/mathlib-000213-0000-8dfb9cbb6476a20d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8dfb9cbb6476a20d91ac110415018086fefbd74dc15b95357e411806315f6cd7"
+    },
+    {
+      "bytes": 74771,
+      "path": "data/internal_test/pea/mathlib-000213-0000-4f69b72655de3795.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4f69b72655de379539d02f75d991119fbf9432554244d209674f6fa666151a4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000214.json b/manifests/batches/mathlib/000214.json
index 93b175d799f97614f8fe09f81cf0c3ba2e850b52..05836874f7229ce5a8a1d6ef7280ea67a0c319d6 100644
--- a/manifests/batches/mathlib/000214.json
+++ b/manifests/batches/mathlib/000214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000214",
   "batch_fingerprint": "61fb0c6a496ed1ec3ce9bf57081aa9c55318e778f285bcf9e18ce5fbf11356dc",
   "evidence": {
@@ -4606,15 +4605,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000214-0000-14bc4266e54ca149.parquet",
-      "sha256": "14bc4266e54ca149817311e83a856762bef46dede59d33b369b6f6530425a0b9",
-      "bytes": 112153,
-      "rows": 19,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalizedModule.exist_integer_multiples_of_finite",
     "mathlib:IsLocalizedModule.isInteger_smul",
@@ -4624,5 +4615,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LocalizedModuleIntegers.lean\",null,null,\"IsLocalizedModule.exist_integer_multiples_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LocalizedModuleIntegers.lean\",null,null,\"IsLocalizedModule.isInteger_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/LocalizedModuleIntegers.lean\",null,null,\"IsLocalizedModule.smul_mem_finsetIntegerMultiple_span\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112153,
+      "path": "data/train/pd2/mathlib-000214-0000-14bc4266e54ca149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "14bc4266e54ca149817311e83a856762bef46dede59d33b369b6f6530425a0b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000215.json b/manifests/batches/mathlib/000215.json
index a451149144b2b033877392ae7a4da5e38e6d9d1a..ce710bcea660006b721e3fadf096e160da5464bb 100644
--- a/manifests/batches/mathlib/000215.json
+++ b/manifests/batches/mathlib/000215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000215",
   "batch_fingerprint": "51eb2003e214853bd739fe5b330f380f68de589f0cfa4c59414368740f4b9f4f",
   "evidence": {
@@ -1378,7 +1377,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000216.json b/manifests/batches/mathlib/000216.json
index 310398d53d9da31d674b6d69c30d4844866e4a21..3bbc52b7fca3fbcb1d19e31504a6a584d77d8414 100644
--- a/manifests/batches/mathlib/000216.json
+++ b/manifests/batches/mathlib/000216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000216",
   "batch_fingerprint": "b96cdb1c6952d02fee23729e95cb9e9679eeabe78b360402fca5ea2b58cb146c",
   "evidence": {
@@ -139,19 +138,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000216-0000-5a9c7eff3c698a68.parquet",
-      "sha256": "5a9c7eff3c698a68c467d8fc0f0aeb3558197818e5900d122a3a3fa243a305e8",
-      "bytes": 50290,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:smul_pi_subset"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/PointwisePi.lean\",null,null,\"smul_pi_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50290,
+      "path": "data/train/p81/mathlib-000216-0000-5a9c7eff3c698a68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5a9c7eff3c698a68c467d8fc0f0aeb3558197818e5900d122a3a3fa243a305e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000217.json b/manifests/batches/mathlib/000217.json
index a51ce593e4258d2c04e4f256cfe9015b547d87da..0842f54874bfc731682c49020b275626af062d05 100644
--- a/manifests/batches/mathlib/000217.json
+++ b/manifests/batches/mathlib/000217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000217",
   "batch_fingerprint": "e0147f3d17098433ea13bb625d1bb2a8affc252f2443c4219b9837ca55486c53",
   "evidence": {
@@ -1397,22 +1396,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000217-0000-be0c0a2f5658a342.parquet",
-      "sha256": "be0c0a2f5658a342c6c930646dd12a56631d7d4fe95a22ea20d1d48226c814e8",
-      "bytes": 94086,
-      "rows": 15,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/mathlib-000217-0000-aae9ef44f3d05104.parquet",
-      "sha256": "aae9ef44f3d05104456a8bbe4574c40ff3da4efd16600dfcc0a704b9ea56cfdb",
-      "bytes": 47786,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Module.Projective.of_basis",
     "mathlib:Module.Projective.of_equiv",
@@ -1430,5 +1414,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Basic.lean\",null,null,\"Submodule.not_mem_of_ortho\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Basic.lean\",null,null,\"Submodule.sub_mem_iff_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Basic.lean\",null,null,\"Submodule.sub_mem_iff_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94086,
+      "path": "data/train/p27/mathlib-000217-0000-be0c0a2f5658a342.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "be0c0a2f5658a342c6c930646dd12a56631d7d4fe95a22ea20d1d48226c814e8"
+    },
+    {
+      "bytes": 47786,
+      "path": "data/dev/p27/mathlib-000217-0000-aae9ef44f3d05104.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aae9ef44f3d05104456a8bbe4574c40ff3da4efd16600dfcc0a704b9ea56cfdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000218.json b/manifests/batches/mathlib/000218.json
index 42dd969398215159bc2b78e983f6a5ea92e5e158..2c97225dad8ad7b0d240bbe8af09158c19354f25 100644
--- a/manifests/batches/mathlib/000218.json
+++ b/manifests/batches/mathlib/000218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000218",
   "batch_fingerprint": "d81aff2483d554e77c2cc62e00a9f3f2f5801a055696e6862071ab3977fd6f02",
   "evidence": {
@@ -522,22 +521,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000218-0000-bbe6290094f29f54.parquet",
-      "sha256": "bbe6290094f29f54667ed34061db6c783da9e3c9b47b372093d274eabd9dd6b9",
-      "bytes": 99223,
-      "rows": 15,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000218-0000-0e84dfd72d7a17ea.parquet",
-      "sha256": "0e84dfd72d7a17ea9b1a19e8de81269049ed0835ae49ad380900f813c5205f40",
-      "bytes": 48066,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.eqLocus_eq_top",
     "mathlib:LinearMap.eqOn_sup",
@@ -561,5 +545,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Bilinear.lean\",null,null,\"Submodule.map\u2082_span_singleton_eq_map_flip\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/EqLocus.lean\",null,null,\"LinearMap.eqLocus_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/EqLocus.lean\",null,null,\"LinearMap.eqOn_sup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99223,
+      "path": "data/train/pbb/mathlib-000218-0000-bbe6290094f29f54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "bbe6290094f29f54667ed34061db6c783da9e3c9b47b372093d274eabd9dd6b9"
+    },
+    {
+      "bytes": 48066,
+      "path": "data/internal_test/pbb/mathlib-000218-0000-0e84dfd72d7a17ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e84dfd72d7a17ea9b1a19e8de81269049ed0835ae49ad380900f813c5205f40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000219.json b/manifests/batches/mathlib/000219.json
index 5e2d8923149895ff118d6e2db365421cec4b1c08..da32c80fa158e1ff61e2491d7caeb4bc9cdc0584 100644
--- a/manifests/batches/mathlib/000219.json
+++ b/manifests/batches/mathlib/000219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000219",
   "batch_fingerprint": "a18bc816bb5d2259bb6e68d80fbc86e3d687bf01579b3691350af8911449f4f7",
   "evidence": {
@@ -555,29 +554,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000219-0000-6f0423f4791940ba.parquet",
-      "sha256": "6f0423f4791940badccc81351d20686194f42fae263b64574339cdc47ddc09f9",
-      "bytes": 76853,
-      "rows": 7,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/mathlib-000219-0000-8fb4d5918bc74338.parquet",
-      "sha256": "8fb4d5918bc74338eaa0c57c84f6056ba209bb8793e139fbfce5032cc66a2bb1",
-      "bytes": 59569,
-      "rows": 2,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000219-0000-a010aa1f2eebc956.parquet",
-      "sha256": "a010aa1f2eebc956e309f77cb2607529fa2ca9bddc1336f91a375e96c0ae7866",
-      "bytes": 44942,
-      "rows": 3,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearEquiv.eq_bot_of_equiv",
     "mathlib:LinearEquiv.ofBijective_symm_apply_apply",
@@ -593,5 +570,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Equiv.lean\",null,null,\"LinearEquiv.ofSubmodule'_toLinearMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Equiv.lean\",null,null,\"Submodule.equivSubtypeMap_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/IterateMapComap.lean\",null,null,\"LinearMap.ker_le_of_iterateMapComap_eq_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76853,
+      "path": "data/train/p4c/mathlib-000219-0000-6f0423f4791940ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6f0423f4791940badccc81351d20686194f42fae263b64574339cdc47ddc09f9"
+    },
+    {
+      "bytes": 59569,
+      "path": "data/dev/p4c/mathlib-000219-0000-8fb4d5918bc74338.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8fb4d5918bc74338eaa0c57c84f6056ba209bb8793e139fbfce5032cc66a2bb1"
+    },
+    {
+      "bytes": 44942,
+      "path": "data/internal_test/p4c/mathlib-000219-0000-a010aa1f2eebc956.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a010aa1f2eebc956e309f77cb2607529fa2ca9bddc1336f91a375e96c0ae7866"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000220.json b/manifests/batches/mathlib/000220.json
index 95769457ca2c2099cc11c37de4cfa4122b2a5d97..30e4bb7088c192c9100de76dddc7865ef69151a4 100644
--- a/manifests/batches/mathlib/000220.json
+++ b/manifests/batches/mathlib/000220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000220",
   "batch_fingerprint": "ffe5560c250a560b16ae3c95614eed5ec5978499f0567e8843659145b501b696",
   "evidence": {
@@ -1492,22 +1491,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000220-0000-3874c307469cfea3.parquet",
-      "sha256": "3874c307469cfea30327d2bd0f5a22eea337feb15446178eb0f2c1e37471d889",
-      "bytes": 190689,
-      "rows": 40,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000220-0000-065f321eeba840bf.parquet",
-      "sha256": "065f321eeba840bf68e6c74e7c580cff4bef523f1904ee7904157f05062cc9ef",
-      "bytes": 46205,
-      "rows": 2,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.disjoint_ker",
     "mathlib:LinearMap.injective_restrict_iff_disjoint",
@@ -1561,5 +1545,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Lattice.lean\",null,null,\"Submodule.nontrivial_iff_ne_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Lattice.lean\",null,null,\"Submodule.sub_mem_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Lattice.lean\",null,null,\"Submodule.subsingleton_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190689,
+      "path": "data/train/p05/mathlib-000220-0000-3874c307469cfea3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "3874c307469cfea30327d2bd0f5a22eea337feb15446178eb0f2c1e37471d889"
+    },
+    {
+      "bytes": 46205,
+      "path": "data/internal_test/p05/mathlib-000220-0000-065f321eeba840bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "065f321eeba840bf68e6c74e7c580cff4bef523f1904ee7904157f05062cc9ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000221.json b/manifests/batches/mathlib/000221.json
index d48f81ec435109876592c753cd1819ca4ca80c98..aaa7d80572d1abc09e8fe376d85360d4a8bd3f79 100644
--- a/manifests/batches/mathlib/000221.json
+++ b/manifests/batches/mathlib/000221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000221",
   "batch_fingerprint": "7de9856cc70f89a4e47e49ddbeebfcc3e3d5105235f8ba1750ea4b78cfd91ed2",
   "evidence": {
@@ -572,15 +571,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000221-0000-9edd1e2d56720c4f.parquet",
-      "sha256": "9edd1e2d56720c4ff0b78ee5476f17ba5c98c9732fd759bebb3ffeabf43777c6",
-      "bytes": 98225,
-      "rows": 10,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.pow_restrict",
     "mathlib:LinearMap.restrict_commute",
@@ -592,5 +583,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/LinearMap.lean\",null,null,\"LinearMap.restrict_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/LinearMap.lean\",null,null,\"LinearMap.restrict_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/LinearMap.lean\",null,null,\"Submodule.subtype_comp_inclusion\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98225,
+      "path": "data/train/p1b/mathlib-000221-0000-9edd1e2d56720c4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9edd1e2d56720c4ff0b78ee5476f17ba5c98c9732fd759bebb3ffeabf43777c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000222.json b/manifests/batches/mathlib/000222.json
index c8eb7450ca6ecf305dfc8616cd49c5b7aa5f749c..9794a6f42273962c192c61d6cf3f2895878871cc 100644
--- a/manifests/batches/mathlib/000222.json
+++ b/manifests/batches/mathlib/000222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000222",
   "batch_fingerprint": "02279eb74158cdd5a1ef3d079875be181f675c4ca3b68ce292ba44a55cba841c",
   "evidence": {
@@ -3101,22 +3100,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000222-0000-b27044114ab290b7.parquet",
-      "sha256": "b27044114ab290b7823a86a05635d06171e62fa214819482ab364f855149b362",
-      "bytes": 211855,
-      "rows": 33,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000222-0000-ac28ec89096fbea1.parquet",
-      "sha256": "ac28ec89096fbea169ee04caaaa084e44ab1adeb1c726c61a851eb987339ae55",
-      "bytes": 61506,
-      "rows": 5,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearEquiv.map_eq_comap",
     "mathlib:LinearMap.comap_codRestrict",
@@ -3160,5 +3144,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Pointwise.lean\",null,null,\"Submodule.set_smul_eq_iSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Pointwise.lean\",null,null,\"Submodule.set_smul_span\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Pointwise.lean\",null,null,\"Submodule.smul_le_self_of_tower\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211855,
+      "path": "data/train/p67/mathlib-000222-0000-b27044114ab290b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b27044114ab290b7823a86a05635d06171e62fa214819482ab364f855149b362"
+    },
+    {
+      "bytes": 61506,
+      "path": "data/internal_test/p67/mathlib-000222-0000-ac28ec89096fbea1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ac28ec89096fbea169ee04caaaa084e44ab1adeb1c726c61a851eb987339ae55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000223.json b/manifests/batches/mathlib/000223.json
index af62cc4d8ba4accc445e15b388053e762e704a49..fae8c7daa504d9c57fb55a29562c99b443c7231f 100644
--- a/manifests/batches/mathlib/000223.json
+++ b/manifests/batches/mathlib/000223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000223",
   "batch_fingerprint": "2d5feecfb9c92314f1b91de3465b1983f4eedfcec243cf93930aa9431c88d2e0",
   "evidence": {
@@ -876,22 +875,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000223-0000-b28f48b4ff446f27.parquet",
-      "sha256": "b28f48b4ff446f27e655a75d489560f821ff6234e09ab03d03b503ee751ab6ad",
-      "bytes": 199215,
-      "rows": 33,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000223-0000-e71cfcfa52bbde51.parquet",
-      "sha256": "e71cfcfa52bbde51cefb08199b1e834c64d9c2087c1e557f65991787d63054ec",
-      "bytes": 47054,
-      "rows": 1,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.comap_le_comap_iff",
     "mathlib:LinearMap.ker_eq_bot_of_cancel",
@@ -947,5 +931,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/Range.lean\",null,null,\"Submodule.range_subtype\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/RestrictScalars.lean\",null,null,\"Submodule.restrictScalars_eq_bot_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Submodule/RestrictScalars.lean\",null,null,\"Submodule.restrictScalars_eq_top_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199215,
+      "path": "data/train/p3f/mathlib-000223-0000-b28f48b4ff446f27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b28f48b4ff446f27e655a75d489560f821ff6234e09ab03d03b503ee751ab6ad"
+    },
+    {
+      "bytes": 47054,
+      "path": "data/internal_test/p3f/mathlib-000223-0000-e71cfcfa52bbde51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e71cfcfa52bbde51cefb08199b1e834c64d9c2087c1e557f65991787d63054ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000224.json b/manifests/batches/mathlib/000224.json
index ff5b13ebe51e5b6b8df58f24ed46192da78f032d..a606afd769a19fa9650f5f331c56f8c695205070 100644
--- a/manifests/batches/mathlib/000224.json
+++ b/manifests/batches/mathlib/000224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000224",
   "batch_fingerprint": "a043fd1a2636dde77f41dd83ac95705a3a46337eba7f8b1d5677dbc7f763e730",
   "evidence": {
@@ -2208,15 +2207,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000224-0000-04b0fbf54118865a.parquet",
-      "sha256": "04b0fbf54118865aa2306ba9bd99696b1e84e0a3934119d4fc7f14052a494382",
-      "bytes": 227344,
-      "rows": 59,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.torsionOf_zero",
     "mathlib:Module.isTorsionBySet_iff_is_torsion_by_span",
@@ -2258,5 +2249,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Torsion.lean\",null,null,\"Submodule.torsionBy_le_torsionBy_of_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Torsion.lean\",null,null,\"Submodule.torsionBy_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Torsion.lean\",null,null,\"Submodule.torsion_int\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227344,
+      "path": "data/train/p40/mathlib-000224-0000-04b0fbf54118865a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "04b0fbf54118865aa2306ba9bd99696b1e84e0a3934119d4fc7f14052a494382"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000225.json b/manifests/batches/mathlib/000225.json
index f9f3d5d391c3b35d514d2faabc78aa135417ffea..cd23807e68ab13fb5f6c86770f29a0a849726626 100644
--- a/manifests/batches/mathlib/000225.json
+++ b/manifests/batches/mathlib/000225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000225",
   "batch_fingerprint": "a84d2d0e6db78131e330cfef8a3772233fb676dbaa6bbd9ac40ad438151204f0",
   "evidence": {
@@ -2354,29 +2353,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000225-0000-26336b3d453e647a.parquet",
-      "sha256": "26336b3d453e647a31cab8554c2a1855257be97ac20b1d10eb04d2bcb746333b",
-      "bytes": 188359,
-      "rows": 35,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/mathlib-000225-0000-467a8bc6165ec86e.parquet",
-      "sha256": "467a8bc6165ec86ee2594ab839cdf2ccb2001190c10e7714629cda31ca0b2b30",
-      "bytes": 52236,
-      "rows": 2,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000225-0000-0e8881ec9e226666.parquet",
-      "sha256": "0e8881ec9e2266664a5adfd57c022327300d577152079923438a03f4b9d1df17",
-      "bytes": 53868,
-      "rows": 6,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.ofZlatticeBasis_apply",
     "mathlib:Zlattice.covolume_ne_zero",
@@ -2416,5 +2393,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Zlattice/Basic.lean\",null,null,\"Zspan.vadd_mem_fundamentalDomain\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Zlattice/Basic.lean\",null,null,\"Zspan.volume_fundamentalDomain\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Module/Zlattice/Covolume.lean\",null,null,\"Zlattice.covolume_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188359,
+      "path": "data/train/p48/mathlib-000225-0000-26336b3d453e647a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "26336b3d453e647a31cab8554c2a1855257be97ac20b1d10eb04d2bcb746333b"
+    },
+    {
+      "bytes": 52236,
+      "path": "data/dev/p48/mathlib-000225-0000-467a8bc6165ec86e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "467a8bc6165ec86ee2594ab839cdf2ccb2001190c10e7714629cda31ca0b2b30"
+    },
+    {
+      "bytes": 53868,
+      "path": "data/internal_test/p48/mathlib-000225-0000-0e8881ec9e226666.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0e8881ec9e2266664a5adfd57c022327300d577152079923438a03f4b9d1df17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000226.json b/manifests/batches/mathlib/000226.json
index 2f3755e2b02296322244897fb70ff36fd441663c..39499492d4a86b6c7d0ff5b55f89bc7ca8f3d9e6 100644
--- a/manifests/batches/mathlib/000226.json
+++ b/manifests/batches/mathlib/000226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000226",
   "batch_fingerprint": "2262caffa478c89590eeda6bf0a1d69b7a3347601ec512d9fadcdabc0e4e01c3",
   "evidence": {
@@ -3757,29 +3756,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000226-0000-5cb5b3b1b550f5cc.parquet",
-      "sha256": "5cb5b3b1b550f5cc959e3c2646e2ed5cad1b7486ec6382cea68d552dd0299a84",
-      "bytes": 257329,
-      "rows": 55,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/mathlib-000226-0000-39603eb57b55557e.parquet",
-      "sha256": "39603eb57b55557e6f4c06a49ad929b53c61eccd557b94e1ee89cea86118de7c",
-      "bytes": 40472,
-      "rows": 2,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000226-0000-5649c461fe31eebf.parquet",
-      "sha256": "5649c461fe31eebfd4d12cbb977845d604530267a8465aec1522ecf6a78980b9",
-      "bytes": 63369,
-      "rows": 7,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidAlgebra.algHom_ext_iff",
     "mathlib:AddMonoidAlgebra.apply_eq_zero_of_not_le_supDegree",
@@ -3867,5 +3844,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/Degree.lean\",null,null,\"AddMonoidAlgebra.supDegree_zero\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/Degree.lean\",null,null,\"AddMonoidAlgebra.sup_support_pow_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257329,
+      "path": "data/train/p33/mathlib-000226-0000-5cb5b3b1b550f5cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "5cb5b3b1b550f5cc959e3c2646e2ed5cad1b7486ec6382cea68d552dd0299a84"
+    },
+    {
+      "bytes": 40472,
+      "path": "data/dev/p33/mathlib-000226-0000-39603eb57b55557e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "39603eb57b55557e6f4c06a49ad929b53c61eccd557b94e1ee89cea86118de7c"
+    },
+    {
+      "bytes": 63369,
+      "path": "data/internal_test/p33/mathlib-000226-0000-5649c461fe31eebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5649c461fe31eebfd4d12cbb977845d604530267a8465aec1522ecf6a78980b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000227.json b/manifests/batches/mathlib/000227.json
index 7298ff9525f51757c404012c052b87dd7f67c675..a3aa8ffdb76b0435820c52cda7242963caee9af6 100644
--- a/manifests/batches/mathlib/000227.json
+++ b/manifests/batches/mathlib/000227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000227",
   "batch_fingerprint": "db811260957ace5663a82ee41ddbb130e2fae41b4448fe0bb479215e73c869e1",
   "evidence": {
@@ -963,29 +962,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000227-0000-5a42bf2547abe3e8.parquet",
-      "sha256": "5a42bf2547abe3e839d5087e92b09534c2b0d1497a9bea54e73530cc602e22bc",
-      "bytes": 195333,
-      "rows": 30,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/mathlib-000227-0000-fc221081229b83de.parquet",
-      "sha256": "fc221081229b83de0e0ae76d76efda77c1490fbc4e7d4c9b3fce112bfca44453",
-      "bytes": 34641,
-      "rows": 1,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000227-0000-9dcd391e1355d392.parquet",
-      "sha256": "9dcd391e1355d3923438ea302dcd8ab99aaf0a73b381c0f996986c6e107cafa1",
-      "bytes": 43617,
-      "rows": 1,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidAlgebra.decomposeAux_single",
     "mathlib:AddMonoidAlgebra.divOf_add",
@@ -1013,5 +990,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/Grading.lean\",null,null,\"AddMonoidAlgebra.mem_grade_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/Grading.lean\",null,null,\"AddMonoidAlgebra.mem_grade_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/Grading.lean\",null,null,\"AddMonoidAlgebra.single_mem_gradeBy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195333,
+      "path": "data/train/pf8/mathlib-000227-0000-5a42bf2547abe3e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "5a42bf2547abe3e839d5087e92b09534c2b0d1497a9bea54e73530cc602e22bc"
+    },
+    {
+      "bytes": 34641,
+      "path": "data/dev/pf8/mathlib-000227-0000-fc221081229b83de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fc221081229b83de0e0ae76d76efda77c1490fbc4e7d4c9b3fce112bfca44453"
+    },
+    {
+      "bytes": 43617,
+      "path": "data/internal_test/pf8/mathlib-000227-0000-9dcd391e1355d392.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9dcd391e1355d3923438ea302dcd8ab99aaf0a73b381c0f996986c6e107cafa1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000228.json b/manifests/batches/mathlib/000228.json
index 3cea43a2094b0da124a59451663da2a8cb9dce1b..ec2227dc5bd3ddf3b6a30ac18ac8ed584f0a2548 100644
--- a/manifests/batches/mathlib/000228.json
+++ b/manifests/batches/mathlib/000228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000228",
   "batch_fingerprint": "919f8efb56413f4588a54079627d102fcd6d5f3fce301b715d255802805be60a",
   "evidence": {
@@ -466,7 +465,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000229.json b/manifests/batches/mathlib/000229.json
index 071aac36e2f7512c0381a96e0dfad65c93cc3763..0412ff22c0ff74843f6d6dc6afd57030cc9065b7 100644
--- a/manifests/batches/mathlib/000229.json
+++ b/manifests/batches/mathlib/000229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000229",
   "batch_fingerprint": "c44a239bc2e0c25e0b26078758853fd99d4d25ac895cdba8c71f5ec361f151ed",
   "evidence": {
@@ -630,22 +629,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000229-0000-fb0fd617cdc883c0.parquet",
-      "sha256": "fb0fd617cdc883c0a9bbce87be28991c4d0e9d057acb61b88f5d27e15fc75b31",
-      "bytes": 162513,
-      "rows": 22,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/mathlib-000229-0000-512b37d9816d522a.parquet",
-      "sha256": "512b37d9816d522abdca68a3c60e3b6a55f10e69c271a3f124b405778a864e8e",
-      "bytes": 36588,
-      "rows": 1,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidAlgebra.mem_span_support",
     "mathlib:AddMonoidAlgebra.mem_span_support'",
@@ -663,5 +647,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean\",null,null,\"AddMonoidAlgebra.toDirectSum_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162513,
+      "path": "data/train/pe0/mathlib-000229-0000-fb0fd617cdc883c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "fb0fd617cdc883c0a9bbce87be28991c4d0e9d057acb61b88f5d27e15fc75b31"
+    },
+    {
+      "bytes": 36588,
+      "path": "data/dev/pe0/mathlib-000229-0000-512b37d9816d522a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "512b37d9816d522abdca68a3c60e3b6a55f10e69c271a3f124b405778a864e8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000230.json b/manifests/batches/mathlib/000230.json
index 0fcb0de805079917ef1c857d3a8eb84e95e47fea..8d61a86c78b02a261fbb7f4ef85947616e49e28a 100644
--- a/manifests/batches/mathlib/000230.json
+++ b/manifests/batches/mathlib/000230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000230",
   "batch_fingerprint": "44448a51cd6b17d0ec976facfabb3e3352091406f92bcc176159d7674c3fc5a5",
   "evidence": {
@@ -5449,29 +5448,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000230-0000-bd4a2c89bcba7f0e.parquet",
-      "sha256": "bd4a2c89bcba7f0ebe184ad234b33233d36f2e8eac19d9ca2e8d0c413c1fda64",
-      "bytes": 440451,
-      "rows": 113,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/mathlib-000230-0000-1bfe626c62acf6fa.parquet",
-      "sha256": "1bfe626c62acf6fae7e31d909dbc3447e84efef3cbb7f634794335b3a9f1b898",
-      "bytes": 70951,
-      "rows": 2,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000230-0000-d5350f034afeda91.parquet",
-      "sha256": "d5350f034afeda9190ecc5dcda2cd788462c289cd61619cfbc57db92d2f41f63",
-      "bytes": 76267,
-      "rows": 9,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.adjoin_eq_range",
     "mathlib:MvPolynomial.C_dvd_iff_map_hom_eq_zero",
@@ -5621,5 +5598,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Cardinal.lean\",null,null,\"MvPolynomial.cardinal_mk_eq_max_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Cardinal.lean\",null,null,\"MvPolynomial.cardinal_mk_le_max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440451,
+      "path": "data/train/pf2/mathlib-000230-0000-bd4a2c89bcba7f0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "bd4a2c89bcba7f0ebe184ad234b33233d36f2e8eac19d9ca2e8d0c413c1fda64"
+    },
+    {
+      "bytes": 70951,
+      "path": "data/dev/pf2/mathlib-000230-0000-1bfe626c62acf6fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1bfe626c62acf6fae7e31d909dbc3447e84efef3cbb7f634794335b3a9f1b898"
+    },
+    {
+      "bytes": 76267,
+      "path": "data/internal_test/pf2/mathlib-000230-0000-d5350f034afeda91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d5350f034afeda9190ecc5dcda2cd788462c289cd61619cfbc57db92d2f41f63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000231.json b/manifests/batches/mathlib/000231.json
index 54d3a5afb62f786e3e5a721c4229ed3e90a1264b..508f672fc8d7624b65766d2832a749aa3dfd57a9 100644
--- a/manifests/batches/mathlib/000231.json
+++ b/manifests/batches/mathlib/000231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000231",
   "batch_fingerprint": "90bb0d621d16ba616bae16f65d4076f17c3b9803550baf09c84a26c8d70be9bc",
   "evidence": {
@@ -719,22 +718,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000231-0000-a97c8c854dceacc7.parquet",
-      "sha256": "a97c8c854dceacc741acca0c1ac57b635d3491ee583b034255fccf849b55ab8c",
-      "bytes": 71231,
-      "rows": 18,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000231-0000-0e23c59b3cf219ab.parquet",
-      "sha256": "0e23c59b3cf219ab4e9d215f1a659b4e28dc471ad084e835fc9bfa4a06a2d1d6",
-      "bytes": 38253,
-      "rows": 1,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.comap_comp",
     "mathlib:MvPolynomial.comap_eq_id_of_eq_id",
@@ -760,5 +744,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/CommRing.lean\",null,null,\"MvPolynomial.vars_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/CommRing.lean\",null,null,\"MvPolynomial.vars_sub_of_disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/CommRing.lean\",null,null,\"MvPolynomial.vars_sub_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71231,
+      "path": "data/train/pcf/mathlib-000231-0000-a97c8c854dceacc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a97c8c854dceacc741acca0c1ac57b635d3491ee583b034255fccf849b55ab8c"
+    },
+    {
+      "bytes": 38253,
+      "path": "data/internal_test/pcf/mathlib-000231-0000-0e23c59b3cf219ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e23c59b3cf219ab4e9d215f1a659b4e28dc471ad084e835fc9bfa4a06a2d1d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000232.json b/manifests/batches/mathlib/000232.json
index f2de95afc712fd3f5e9f087b78773bbd32f858d1..c3d5b1a31373d8682f33b3a92cd18f9cd9867e9f 100644
--- a/manifests/batches/mathlib/000232.json
+++ b/manifests/batches/mathlib/000232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000232",
   "batch_fingerprint": "8784bc944f0bbc2580a11936b61c918abf181ee2b246515ee9b9c8ba5e64f2f7",
   "evidence": {
@@ -2317,22 +2316,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000232-0000-03f1580a0ba50312.parquet",
-      "sha256": "03f1580a0ba50312a618f8455c98e5c0fd2ce895a863e5e8c9035f49aa1ff338",
-      "bytes": 130135,
-      "rows": 33,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000232-0000-b34a5367f4de1a23.parquet",
-      "sha256": "b34a5367f4de1a232f548556406111e7a703333204b8bb1cdb69d65ba0b307d9",
-      "bytes": 63057,
-      "rows": 8,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.degreeOf_C_mul_le",
     "mathlib:MvPolynomial.degreeOf_add_le",
@@ -2378,5 +2362,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Degrees.lean\",null,null,\"MvPolynomial.totalDegree_multiset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Degrees.lean\",null,null,\"MvPolynomial.totalDegree_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Degrees.lean\",null,null,\"MvPolynomial.totalDegree_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130135,
+      "path": "data/train/p27/mathlib-000232-0000-03f1580a0ba50312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "03f1580a0ba50312a618f8455c98e5c0fd2ce895a863e5e8c9035f49aa1ff338"
+    },
+    {
+      "bytes": 63057,
+      "path": "data/internal_test/p27/mathlib-000232-0000-b34a5367f4de1a23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b34a5367f4de1a232f548556406111e7a703333204b8bb1cdb69d65ba0b307d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000233.json b/manifests/batches/mathlib/000233.json
index 634684a17ade20487448ab525a5a9620ba76ede0..867dc5fdd107b27dda2da385ddc4e5b265547cce 100644
--- a/manifests/batches/mathlib/000233.json
+++ b/manifests/batches/mathlib/000233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000233",
   "batch_fingerprint": "e0e40fbaac4382b85a1c0cd55cdc265b80b542bab19835b51c41a2671f252930",
   "evidence": {
@@ -1153,22 +1152,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000233-0000-570feebfc3b08c0a.parquet",
-      "sha256": "570feebfc3b08c0a8cbd0f12b2f746d1159d289a20d0fb802daf16e3ed2a4165",
-      "bytes": 56151,
-      "rows": 7,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/mathlib-000233-0000-1168b5562c0d4d58.parquet",
-      "sha256": "1168b5562c0d4d58774a25e9cbcf54b1176ecef514338711ce83a6f5bb2b97de",
-      "bytes": 46795,
-      "rows": 2,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.X_dvd_X",
     "mathlib:MvPolynomial.X_dvd_monomial",
@@ -1182,5 +1166,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Division.lean\",null,null,\"MvPolynomial.X_dvd_monomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Division.lean\",null,null,\"MvPolynomial.coeff_modMonomial_of_not_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Division.lean\",null,null,\"MvPolynomial.monomial_one_dvd_monomial_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56151,
+      "path": "data/train/pd3/mathlib-000233-0000-570feebfc3b08c0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "570feebfc3b08c0a8cbd0f12b2f746d1159d289a20d0fb802daf16e3ed2a4165"
+    },
+    {
+      "bytes": 46795,
+      "path": "data/dev/pd3/mathlib-000233-0000-1168b5562c0d4d58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1168b5562c0d4d58774a25e9cbcf54b1176ecef514338711ce83a6f5bb2b97de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000234.json b/manifests/batches/mathlib/000234.json
index f8fb84f57ec6dd61e9d22372cef5ac114de6d117..4af4d8356700a85ad02c74e301236a442b2929d7 100644
--- a/manifests/batches/mathlib/000234.json
+++ b/manifests/batches/mathlib/000234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000234",
   "batch_fingerprint": "00e0d71d48fe7b77e92a036ed802df48e808fd6e4bfbeb96dc36e00f53a513e5",
   "evidence": {
@@ -1281,29 +1280,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000234-0000-2504546eb25b33a0.parquet",
-      "sha256": "2504546eb25b33a00c964ee42222159867ca658ab655895fdb5c8ad7394b3177",
-      "bytes": 107631,
-      "rows": 25,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/mathlib-000234-0000-7401ed4ee9e529c3.parquet",
-      "sha256": "7401ed4ee9e529c347b21e83e59abcfbdeb1cc5a3525e0d1a86f9fe66ba0ea0d",
-      "bytes": 41612,
-      "rows": 2,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000234-0000-ad27183a2da418e2.parquet",
-      "sha256": "ad27183a2da418e2d44cf3453f66bd2d23878dac5b8efd427a715bc4db6e126a",
-      "bytes": 77675,
-      "rows": 7,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.coeff_eval_eq_eval_coeff",
     "mathlib:MvPolynomial.degreeOf_coeff_finSuccEquiv",
@@ -1351,5 +1328,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Expand.lean\",null,null,\"MvPolynomial.map_expand\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Expand.lean\",null,null,\"MvPolynomial.rename_comp_expand\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Expand.lean\",null,null,\"MvPolynomial.rename_expand\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107631,
+      "path": "data/train/pbf/mathlib-000234-0000-2504546eb25b33a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "2504546eb25b33a00c964ee42222159867ca658ab655895fdb5c8ad7394b3177"
+    },
+    {
+      "bytes": 41612,
+      "path": "data/dev/pbf/mathlib-000234-0000-7401ed4ee9e529c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7401ed4ee9e529c347b21e83e59abcfbdeb1cc5a3525e0d1a86f9fe66ba0ea0d"
+    },
+    {
+      "bytes": 77675,
+      "path": "data/internal_test/pbf/mathlib-000234-0000-ad27183a2da418e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ad27183a2da418e2d44cf3453f66bd2d23878dac5b8efd427a715bc4db6e126a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000235.json b/manifests/batches/mathlib/000235.json
index 4105a93f9823d047a11e84fdbbee76c0018badec..aa1216ebf07f6f9a5f779d30642a211519f538b9 100644
--- a/manifests/batches/mathlib/000235.json
+++ b/manifests/batches/mathlib/000235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000235",
   "batch_fingerprint": "4770accd9ba713610c0f61fdb36913cd5590b2f7fd4bfd15ba6ee8c4229c4dca",
   "evidence": {
@@ -928,29 +927,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000235-0000-95d53e2610c3a543.parquet",
-      "sha256": "95d53e2610c3a54308f7be61f410fa3bb81677f8494654ad555a9a97d770998a",
-      "bytes": 121849,
-      "rows": 29,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/mathlib-000235-0000-07c45bc18ad68add.parquet",
-      "sha256": "07c45bc18ad68add39d60bfce5a148a8f21528b1391fe01e3f1d4f5d7aca628e",
-      "bytes": 45003,
-      "rows": 1,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000235-0000-1cf1b009b2116bf5.parquet",
-      "sha256": "1cf1b009b2116bf5f48972085ace2da90d258ff47367a183281ee55f8f312431",
-      "bytes": 47935,
-      "rows": 3,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.aeval_comp_bind\u2081",
     "mathlib:MvPolynomial.aeval_id_rename",
@@ -998,5 +975,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Monad.lean\",null,null,\"MvPolynomial.map_bind\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Monad.lean\",null,null,\"MvPolynomial.map_comp_C\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Monad.lean\",null,null,\"MvPolynomial.rename_comp_bind\u2081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121849,
+      "path": "data/train/paa/mathlib-000235-0000-95d53e2610c3a543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "95d53e2610c3a54308f7be61f410fa3bb81677f8494654ad555a9a97d770998a"
+    },
+    {
+      "bytes": 45003,
+      "path": "data/dev/paa/mathlib-000235-0000-07c45bc18ad68add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "07c45bc18ad68add39d60bfce5a148a8f21528b1391fe01e3f1d4f5d7aca628e"
+    },
+    {
+      "bytes": 47935,
+      "path": "data/internal_test/paa/mathlib-000235-0000-1cf1b009b2116bf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1cf1b009b2116bf5f48972085ace2da90d258ff47367a183281ee55f8f312431"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000236.json b/manifests/batches/mathlib/000236.json
index e5e2063b4395e211d01ac4b7bec6ef6afeaa4ea5..8d72bc08a3db7da3b77c8d3fdef6d5a986250f8a 100644
--- a/manifests/batches/mathlib/000236.json
+++ b/manifests/batches/mathlib/000236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000236",
   "batch_fingerprint": "b01c1566f417eba7862bccec4f283ec8d445913f9ef645b7f4564723f15ac54b",
   "evidence": {
@@ -503,22 +502,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000236-0000-ef6e2a053f8cf8a4.parquet",
-      "sha256": "ef6e2a053f8cf8a44c333c40d81dcbed2ef245f4a67b3c2eff3793d43187aab0",
-      "bytes": 42313,
-      "rows": 4,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000236-0000-00d536a6e0b75794.parquet",
-      "sha256": "00d536a6e0b75794ca3247c611e99817e8f1dfaedee5586fe6b202a45121be73",
-      "bytes": 43192,
-      "rows": 3,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.pderiv_C_mul",
     "mathlib:MvPolynomial.pderiv_X",
@@ -534,5 +518,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/PDeriv.lean\",null,null,\"MvPolynomial.pderiv_monomial_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/PDeriv.lean\",null,null,\"MvPolynomial.pderiv_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/PDeriv.lean\",null,null,\"MvPolynomial.pderiv_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42313,
+      "path": "data/train/pdc/mathlib-000236-0000-ef6e2a053f8cf8a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ef6e2a053f8cf8a44c333c40d81dcbed2ef245f4a67b3c2eff3793d43187aab0"
+    },
+    {
+      "bytes": 43192,
+      "path": "data/internal_test/pdc/mathlib-000236-0000-00d536a6e0b75794.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00d536a6e0b75794ca3247c611e99817e8f1dfaedee5586fe6b202a45121be73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000237.json b/manifests/batches/mathlib/000237.json
index 3fbb4bd15b911215404e6b87722eeee8fc88c757..73c65404051eeae961d26571b5fd780f95379c34 100644
--- a/manifests/batches/mathlib/000237.json
+++ b/manifests/batches/mathlib/000237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000237",
   "batch_fingerprint": "4897c3ac4a70060d4f71c022dfb63a7bfbefaf565ce98673e25efc788dafd30d",
   "evidence": {
@@ -1338,22 +1337,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000237-0000-6c5978d4e2857aa6.parquet",
-      "sha256": "6c5978d4e2857aa6b2fef2a90621dd72c9087774c259dca6c81c0be7fadc88fb",
-      "bytes": 126612,
-      "rows": 31,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000237-0000-fe7bbda272f0df81.parquet",
-      "sha256": "fe7bbda272f0df81e19e4b75be82ff0f0c5df544fa55c8bddef204bc8f6753d9",
-      "bytes": 74559,
-      "rows": 9,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.X_mem_supported",
     "mathlib:MvPolynomial.coeff_rename_embDomain",
@@ -1395,5 +1379,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Supported.lean\",null,null,\"MvPolynomial.supported_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Supported.lean\",null,null,\"MvPolynomial.supported_eq_range_rename\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Supported.lean\",null,null,\"MvPolynomial.supported_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126612,
+      "path": "data/train/p60/mathlib-000237-0000-6c5978d4e2857aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6c5978d4e2857aa6b2fef2a90621dd72c9087774c259dca6c81c0be7fadc88fb"
+    },
+    {
+      "bytes": 74559,
+      "path": "data/internal_test/p60/mathlib-000237-0000-fe7bbda272f0df81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fe7bbda272f0df81e19e4b75be82ff0f0c5df544fa55c8bddef204bc8f6753d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000238.json b/manifests/batches/mathlib/000238.json
index 822c525aaa98f5deb5f9be4c6aebd2c82f994a60..61f63064cd39bdb1e47f669d1fa6f2c572ea8213 100644
--- a/manifests/batches/mathlib/000238.json
+++ b/manifests/batches/mathlib/000238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000238",
   "batch_fingerprint": "c9ee6c0b707ec039eb0f9297e83ba1d11f88093609ba493fa0f6553be35f52a7",
   "evidence": {
@@ -1637,22 +1636,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000238-0000-1e1b76b06a3bf866.parquet",
-      "sha256": "1e1b76b06a3bf866494307c5a575c1f641da9370577055b57e1e8832cd6408bd",
-      "bytes": 95700,
-      "rows": 23,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000238-0000-cc2fe955cfb4e941.parquet",
-      "sha256": "cc2fe955cfb4e9414ea9f7c5ca51176a5822c4515d60d77463950007b46fb1b2",
-      "bytes": 49992,
-      "rows": 1,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.mem_support_not_mem_vars_zero",
     "mathlib:MvPolynomial.vars_C_mul",
@@ -1678,5 +1662,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Variables.lean\",null,null,\"MvPolynomial.vars_monomial_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/MvPolynomial/Variables.lean\",null,null,\"MvPolynomial.vars_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/NeZero.lean\",null,null,\"not_neZero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95700,
+      "path": "data/train/pb5/mathlib-000238-0000-1e1b76b06a3bf866.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "1e1b76b06a3bf866494307c5a575c1f641da9370577055b57e1e8832cd6408bd"
+    },
+    {
+      "bytes": 49992,
+      "path": "data/internal_test/pb5/mathlib-000238-0000-cc2fe955cfb4e941.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cc2fe955cfb4e9414ea9f7c5ca51176a5822c4515d60d77463950007b46fb1b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000239.json b/manifests/batches/mathlib/000239.json
index da1fe730cc3f2f8313334305aeba33e4b1408fb7..ffde7da7a0c6aa199849a5883572f3165d696f2c 100644
--- a/manifests/batches/mathlib/000239.json
+++ b/manifests/batches/mathlib/000239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000239",
   "batch_fingerprint": "324774ded8de7b7f2daeb76225dc2ee7752b41f160185b80c9b6af87ba70aa2b",
   "evidence": {
@@ -1758,15 +1757,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000239-0000-44bf214fbf158b00.parquet",
-      "sha256": "44bf214fbf158b007be56bbad27d78dc5f8f962f12d25accf83dbdb7a41f8f84",
-      "bytes": 54969,
-      "rows": 9,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AbsoluteValue.abs_abv_sub_le_abv_sub",
     "mathlib:AbsoluteValue.le_add",
@@ -1786,5 +1777,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/AbsoluteValue.lean\",null,null,\"AbsoluteValue.sub_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/AbsoluteValue.lean\",null,null,\"AbsoluteValue.sub_le_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/AbsoluteValue.lean\",null,null,\"IsAbsoluteValue.abv_sub_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54969,
+      "path": "data/train/p6e/mathlib-000239-0000-44bf214fbf158b00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "44bf214fbf158b007be56bbad27d78dc5f8f962f12d25accf83dbdb7a41f8f84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000240.json b/manifests/batches/mathlib/000240.json
index 0ff7e3549daa5e239f0c62dc13b4aa1f7bd97f31..23aa41334092fdf6ec1fe0938b51e51aec9ace64 100644
--- a/manifests/batches/mathlib/000240.json
+++ b/manifests/batches/mathlib/000240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000240",
   "batch_fingerprint": "f9a2e2251797ee8c22e66e4c193a073f05bda1c6cc725372c82097479aa1b211",
   "evidence": {
@@ -818,15 +817,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000240-0000-e2d5756cb5fad30b.parquet",
-      "sha256": "e2d5756cb5fad30b3d8557343ddfdedfae1950b798116c9c13746565e59fd5de",
-      "bytes": 78062,
-      "rows": 20,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.finsuppAntidiag_empty_of_ne_zero",
     "mathlib:Finset.finsuppAntidiag_empty_zero",
@@ -842,5 +833,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Antidiag/Finsupp.lean\",null,null,\"Finset.mem_finAntidiagonal\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Antidiag/Finsupp.lean\",null,null,\"Finset.mem_finAntidiagonal\u2080'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Antidiag/Finsupp.lean\",null,null,\"Finset.mem_finsuppAntidiag'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78062,
+      "path": "data/train/pe1/mathlib-000240-0000-e2d5756cb5fad30b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e2d5756cb5fad30b3d8557343ddfdedfae1950b798116c9c13746565e59fd5de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000241.json b/manifests/batches/mathlib/000241.json
index 593f674ea5a6152e17aef48ac3e2d8d87312c2f3..6c130d39e96d2f9bed6026dddc70bfe52fa132c0 100644
--- a/manifests/batches/mathlib/000241.json
+++ b/manifests/batches/mathlib/000241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000241",
   "batch_fingerprint": "b67b187595a0596fdd6b26f368679e1e4cc1625ad03e3e7d6d5b47162896e845",
   "evidence": {
@@ -1312,22 +1311,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000241-0000-7b6599d63a57e254.parquet",
-      "sha256": "7b6599d63a57e254d189a7bf5e6c5b50e27e6339347f17b3b0b8788256847833",
-      "bytes": 148791,
-      "rows": 43,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000241-0000-424e59569afd607f.parquet",
-      "sha256": "424e59569afd607f233fb81de542965e90c65109fb0774ac4a000ac58ebbb23c",
-      "bytes": 31359,
-      "rows": 1,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.antidiagonal.fst_le",
     "mathlib:Finset.antidiagonal.snd_le",
@@ -1379,5 +1363,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Archimedean.lean\",null,null,\"exists_rat_gt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Archimedean.lean\",null,null,\"exists_rat_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Archimedean.lean\",null,null,\"pow_unbounded_of_one_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148791,
+      "path": "data/train/p9b/mathlib-000241-0000-7b6599d63a57e254.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7b6599d63a57e254d189a7bf5e6c5b50e27e6339347f17b3b0b8788256847833"
+    },
+    {
+      "bytes": 31359,
+      "path": "data/internal_test/p9b/mathlib-000241-0000-424e59569afd607f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "424e59569afd607f233fb81de542965e90c65109fb0774ac4a000ac58ebbb23c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000242.json b/manifests/batches/mathlib/000242.json
index d8e7e496090a95f81ca19f65a45c968a80c17f1d..2640997ecd6d4750023fdefad067d8597a042f32 100644
--- a/manifests/batches/mathlib/000242.json
+++ b/manifests/batches/mathlib/000242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000242",
   "batch_fingerprint": "4107925ee0929d10a5bac3587903068c6a8d1ff67dd2f79abd30f434aaa006d4",
   "evidence": {
@@ -2054,22 +2053,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000242-0000-9f09ce1a812f470e.parquet",
-      "sha256": "9f09ce1a812f470e36c19adbf305dc44617cb3fe1d188176e75d38a504f78a8d",
-      "bytes": 189358,
-      "rows": 47,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/dev/mathlib-000242-0000-e672cfd7ac6013d3.parquet",
-      "sha256": "e672cfd7ac6013d30f261ae90dff2fff6f58f3c1ced2c70b3b06bc36d8154335",
-      "bytes": 53925,
-      "rows": 4,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.abs_sum_of_nonneg",
     "mathlib:Finset.abs_sum_of_nonneg'",
@@ -2137,5 +2121,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Group/List.lean\",null,null,\"List.exists_lt_of_prod_lt'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Group/List.lean\",null,null,\"List.prod_le_pow_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Group/List.lean\",null,null,\"List.prod_le_prod'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189358,
+      "path": "data/train/p97/mathlib-000242-0000-9f09ce1a812f470e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "9f09ce1a812f470e36c19adbf305dc44617cb3fe1d188176e75d38a504f78a8d"
+    },
+    {
+      "bytes": 53925,
+      "path": "data/dev/p97/mathlib-000242-0000-e672cfd7ac6013d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e672cfd7ac6013d30f261ae90dff2fff6f58f3c1ced2c70b3b06bc36d8154335"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000243.json b/manifests/batches/mathlib/000243.json
index 4ef8a28d1f582a57c568c56dcfb5c12d213fa940..b9a9d08e17e9d83365d7b78e99279643f6639b8f 100644
--- a/manifests/batches/mathlib/000243.json
+++ b/manifests/batches/mathlib/000243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000243",
   "batch_fingerprint": "df245bfe8763f7d8927aebbeaf6047c9c2c1c565040510b13d08c6d407c7a27a",
   "evidence": {
@@ -1218,15 +1217,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000243-0000-94dca74fe9f85ae4.parquet",
-      "sha256": "94dca74fe9f85ae40080f59e2de7ad27cae85f54a96bf87d70db4ce90a631689",
-      "bytes": 95233,
-      "rows": 24,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.prod_le_one",
     "mathlib:Finset.prod_lt_prod_of_nonempty",
@@ -1254,5 +1245,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Group/Multiset.lean\",null,null,\"Multiset.single_le_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean\",null,null,\"Finset.prod_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean\",null,null,\"Finset.prod_lt_prod_of_nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95233,
+      "path": "data/train/pe2/mathlib-000243-0000-94dca74fe9f85ae4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "94dca74fe9f85ae40080f59e2de7ad27cae85f54a96bf87d70db4ce90a631689"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000244.json b/manifests/batches/mathlib/000244.json
index 6732784e5f81a40d2f4ef2eaf69188400f16cea5..c60dd910f6e56c87ba73cc8ddde7f82d21f702f2 100644
--- a/manifests/batches/mathlib/000244.json
+++ b/manifests/batches/mathlib/000244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000244",
   "batch_fingerprint": "26c813c36dcee26ec7be8eb1e72bf702c5633dab9a4bc4ae3d52fd2572c511bb",
   "evidence": {
@@ -197,19 +196,20 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000244-0000-d1826799f44e7236.parquet",
-      "sha256": "d1826799f44e72363e75ad761c4c2a57078eccdac598c428fdd532cd33654486",
-      "bytes": 46674,
-      "rows": 3,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CanonicallyOrderedCommSemiring.multiset_prod_pos"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/BigOperators/Ring/Multiset.lean\",null,null,\"CanonicallyOrderedCommSemiring.multiset_prod_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46674,
+      "path": "data/train/p3a/mathlib-000244-0000-d1826799f44e7236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d1826799f44e72363e75ad761c4c2a57078eccdac598c428fdd532cd33654486"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000245.json b/manifests/batches/mathlib/000245.json
index 9bb9f127435de4c546ade4569609ce0831fc7f44..ac5303339ffa9b7414e58f539d7bbac63bf03a83 100644
--- a/manifests/batches/mathlib/000245.json
+++ b/manifests/batches/mathlib/000245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000245",
   "batch_fingerprint": "7a23f1a4ba0c7d3308c70c5fb6f5a17b317524a072396997180bec27dd1cd851",
   "evidence": {
@@ -4031,36 +4030,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000245-0000-6f2423e8a90d6850.parquet",
-      "sha256": "6f2423e8a90d685044991e1f38b65cdb3dac977f02e06985b9b025d6e511b18e",
-      "bytes": 288822,
-      "rows": 66,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/mathlib-000245-0000-976e016cd5ec4977.parquet",
-      "sha256": "976e016cd5ec4977bcd48ef77d070c4c1eb2669023b069246c540b005f2e330c",
-      "bytes": 68826,
-      "rows": 9,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/mathlib-000245-0000-18ee8c361dbb4c7b.parquet",
-      "sha256": "18ee8c361dbb4c7babd5ca483c9f92b95479e36758448128a7574fb482770760",
-      "bytes": 72793,
-      "rows": 11,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/quarantine/mathlib-000245-0000-13e52107100e3c96.parquet",
-      "sha256": "13e52107100e3c96c672a0b2c97e8e054f5b457c60a76900c68e933790c3b307",
-      "bytes": 31513,
-      "rows": 1,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CauSeq.add_equiv_add",
     "mathlib:CauSeq.add_limZero",
@@ -4146,5 +4116,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/CauSeq/Basic.lean\",null,null,\"isCauSeq_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/CauSeq/Basic.lean\",null,null,\"rat_add_continuous_lemma\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/CauSeq/Basic.lean\",null,null,\"rat_inv_continuous_lemma\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288822,
+      "path": "data/train/p33/mathlib-000245-0000-6f2423e8a90d6850.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "6f2423e8a90d685044991e1f38b65cdb3dac977f02e06985b9b025d6e511b18e"
+    },
+    {
+      "bytes": 68826,
+      "path": "data/dev/p33/mathlib-000245-0000-976e016cd5ec4977.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "976e016cd5ec4977bcd48ef77d070c4c1eb2669023b069246c540b005f2e330c"
+    },
+    {
+      "bytes": 72793,
+      "path": "data/internal_test/p33/mathlib-000245-0000-18ee8c361dbb4c7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "18ee8c361dbb4c7babd5ca483c9f92b95479e36758448128a7574fb482770760"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000246.json b/manifests/batches/mathlib/000246.json
index e286458a5e332d40cd619aeb8707a60ef7007977..2b4c2de47173604a4e045c360de3e6c8d1efae11 100644
--- a/manifests/batches/mathlib/000246.json
+++ b/manifests/batches/mathlib/000246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000246",
   "batch_fingerprint": "b982422037257dd252935d4777dfb1e39833b1366e0a39a2f3fae38360197b5c",
   "evidence": {
@@ -1295,22 +1294,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000246-0000-2fa57e01c49e5d29.parquet",
-      "sha256": "2fa57e01c49e5d29a17f20270cadde9fea4074ad3bbce1100b7209185fd60c39",
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-      "rows": 21,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/mathlib-000246-0000-bfa296a1e2899024.parquet",
-      "sha256": "bfa296a1e289902487c468fce5f18df74cca1810e9ea0b45f72d0c451b5f1d6a",
-      "bytes": 51532,
-      "rows": 2,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antivary.card_smul_sum_le_sum_smul_sum",
     "mathlib:AntivaryOn.card_mul_sum_le_sum_mul_sum",
@@ -1342,5 +1326,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Chebyshev.lean\",null,null,\"AntivaryOn.card_mul_sum_le_sum_mul_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Chebyshev.lean\",null,null,\"AntivaryOn.card_smul_sum_le_sum_smul_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Chebyshev.lean\",null,null,\"sq_sum_le_card_mul_sum_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79279,
+      "path": "data/train/p59/mathlib-000246-0000-2fa57e01c49e5d29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2fa57e01c49e5d29a17f20270cadde9fea4074ad3bbce1100b7209185fd60c39"
+    },
+    {
+      "bytes": 51532,
+      "path": "data/dev/p59/mathlib-000246-0000-bfa296a1e2899024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bfa296a1e289902487c468fce5f18df74cca1810e9ea0b45f72d0c451b5f1d6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000247.json b/manifests/batches/mathlib/000247.json
index a694accce19bcbe355419ec369fdb67c113a5e60..96a64f66a30ce42c9eb437e5728cb0432bc5080c 100644
--- a/manifests/batches/mathlib/000247.json
+++ b/manifests/batches/mathlib/000247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000247",
   "batch_fingerprint": "02eddffc9288171f93a7da95fcb7af0b0bdab92909b71a4a7bdc11502eafc2b3",
   "evidence": {
@@ -918,15 +917,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000247-0000-9c88af7664a8603f.parquet",
-      "sha256": "9c88af7664a8603f65c27655023e513abc68bfc8551f00ccca051b279a81dfdf",
-      "bytes": 61303,
-      "rows": 12,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AbsoluteValue.abs_isEuclidean",
     "mathlib:LinearOrderedField.cutMap_bddAbove",
@@ -946,5 +937,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/CompleteField.lean\",null,null,\"LinearOrderedField.lt_inducedMap_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/CompleteField.lean\",null,null,\"ringHom_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/EuclideanAbsoluteValue.lean\",null,null,\"AbsoluteValue.abs_isEuclidean\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61303,
+      "path": "data/train/p55/mathlib-000247-0000-9c88af7664a8603f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9c88af7664a8603f65c27655023e513abc68bfc8551f00ccca051b279a81dfdf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000248.json b/manifests/batches/mathlib/000248.json
index 6cd98e3586dc9fefc513adb8835484f02077c601..4f4f3d0cb6b5c4cf8dee2b031ab208fa8f9e84ee 100644
--- a/manifests/batches/mathlib/000248.json
+++ b/manifests/batches/mathlib/000248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000248",
   "batch_fingerprint": "07dddb91a4e0c4329ed1b83affd04c0cadfebc7d51facba92ad581fe34e9b3f9",
   "evidence": {
@@ -2336,29 +2335,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000248-0000-7c00ab485b23b7f4.parquet",
-      "sha256": "7c00ab485b23b7f4a1e8de998214c1066dba02d7fdcf883ee4dbfa7d583bff21",
-      "bytes": 343666,
-      "rows": 124,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/mathlib-000248-0000-52a8985786f67fe6.parquet",
-      "sha256": "52a8985786f67fe6bd0434c8b0e8e748113477f49f6ff74811c502451046532e",
-      "bytes": 50335,
-      "rows": 6,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/mathlib-000248-0000-4314fdb492003235.parquet",
-      "sha256": "4314fdb4920032350ae9eeeaae37ffea9392957a366ae5fc5ccd3bb4e56267f2",
-      "bytes": 52436,
-      "rows": 8,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsGLB.mul_right",
     "mathlib:IsLUB.mul_right",
@@ -2584,5 +2561,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Basic.lean\",null,null,\"one_lt_one_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Basic.lean\",null,null,\"sub_one_div_inv_le_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Canonical/Basic.lean\",null,null,\"tsub_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343666,
+      "path": "data/train/p17/mathlib-000248-0000-7c00ab485b23b7f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 124,
+      "sha256": "7c00ab485b23b7f4a1e8de998214c1066dba02d7fdcf883ee4dbfa7d583bff21"
+    },
+    {
+      "bytes": 50335,
+      "path": "data/dev/p17/mathlib-000248-0000-52a8985786f67fe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "52a8985786f67fe6bd0434c8b0e8e748113477f49f6ff74811c502451046532e"
+    },
+    {
+      "bytes": 52436,
+      "path": "data/internal_test/p17/mathlib-000248-0000-4314fdb492003235.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4314fdb4920032350ae9eeeaae37ffea9392957a366ae5fc5ccd3bb4e56267f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000249.json b/manifests/batches/mathlib/000249.json
index 31eae2652545514dfcb7d50946ebd93cd41391e4..be99f7a2e9587772289255af10f0a31644b81d34 100644
--- a/manifests/batches/mathlib/000249.json
+++ b/manifests/batches/mathlib/000249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000249",
   "batch_fingerprint": "3d99ea85efc24215223c4304586359da404aa843974e7f21ecc34927feb8775c",
   "evidence": {
@@ -310,22 +309,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000249-0000-fc5d1c82a9dd3d4b.parquet",
-      "sha256": "fc5d1c82a9dd3d4b7f0f06f3fac3fa0dece21a80755334822534fe3b30ce21b2",
-      "bytes": 47076,
-      "rows": 8,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/mathlib-000249-0000-946d6dc58ba94498.parquet",
-      "sha256": "946d6dc58ba94498c5912a1264b9e3a5cb3e6ecb02383976f98748580ace0e9a",
-      "bytes": 37578,
-      "rows": 2,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:div_nonpos_of_nonneg_of_nonpos",
     "mathlib:div_nonpos_of_nonpos_of_nonneg",
@@ -343,5 +327,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Defs.lean\",null,null,\"inv_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Defs.lean\",null,null,\"inv_nonpos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Defs.lean\",null,null,\"inv_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47076,
+      "path": "data/train/pbb/mathlib-000249-0000-fc5d1c82a9dd3d4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fc5d1c82a9dd3d4b7f0f06f3fac3fa0dece21a80755334822534fe3b30ce21b2"
+    },
+    {
+      "bytes": 37578,
+      "path": "data/dev/pbb/mathlib-000249-0000-946d6dc58ba94498.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "946d6dc58ba94498c5912a1264b9e3a5cb3e6ecb02383976f98748580ace0e9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000250.json b/manifests/batches/mathlib/000250.json
index 1c026554e03a7e5f6ac1639b840581b3a1d8a8aa..069bac430d788ccdc4d6a80413959b7a3fafd471 100644
--- a/manifests/batches/mathlib/000250.json
+++ b/manifests/batches/mathlib/000250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000250",
   "batch_fingerprint": "a1268175f53778becdcadc1ea4d3983d57eb79d3c371fffb9f70fb6d37ecc1dd",
   "evidence": {
@@ -712,22 +711,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000250-0000-4e8170442834c1ef.parquet",
-      "sha256": "4e8170442834c1ef8e193fd266dea662cd967be5f0d332153cc2e10061c4530a",
-      "bytes": 58939,
-      "rows": 15,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/mathlib-000250-0000-7ede48de77b2547b.parquet",
-      "sha256": "7ede48de77b2547be03a8c8a51c4776e5f92f8884748019ea776e0b59e1e2bf5",
-      "bytes": 42269,
-      "rows": 3,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Even.zpow_abs",
     "mathlib:NNRat.den_inv_of_ne_zero",
@@ -749,5 +733,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Rat.lean\",null,null,\"NNRat.div_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Rat.lean\",null,null,\"NNRat.inv_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Field/Rat.lean\",null,null,\"NNRat.num_inv_of_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58939,
+      "path": "data/train/pe1/mathlib-000250-0000-4e8170442834c1ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4e8170442834c1ef8e193fd266dea662cd967be5f0d332153cc2e10061c4530a"
+    },
+    {
+      "bytes": 42269,
+      "path": "data/internal_test/pe1/mathlib-000250-0000-7ede48de77b2547b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7ede48de77b2547be03a8c8a51c4776e5f92f8884748019ea776e0b59e1e2bf5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000251.json b/manifests/batches/mathlib/000251.json
index 3a25be5b56e803c1ee051c9f42a0cc3b3e32b0ab..ced94aedcfe4773b8b82b22b4141ae5ed301e2d9 100644
--- a/manifests/batches/mathlib/000251.json
+++ b/manifests/batches/mathlib/000251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000251",
   "batch_fingerprint": "ec907bb77e5a98362148b9a6ffb3b424adc69be012af8a41fa074675cc9002ae",
   "evidence": {
@@ -5241,29 +5240,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000251-0000-d4c9dcca6a190869.parquet",
-      "sha256": "d4c9dcca6a190869dee38385adf969e74639620507e67e0e304d0e5e49650bed",
-      "bytes": 456034,
-      "rows": 170,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/mathlib-000251-0000-846cf6b60c91f84d.parquet",
-      "sha256": "846cf6b60c91f84dd8f3886cd7379ab3aa455763eb2bda1aa43f65d2e7cb05cf",
-      "bytes": 45740,
-      "rows": 5,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/mathlib-000251-0000-0c3f19570cba31ee.parquet",
-      "sha256": "0c3f19570cba31eeda557ea0748873b2b3cf3e7b822c2cce5e59c13f8d190d6e",
-      "bytes": 60532,
-      "rows": 16,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.support_ceilDiv_subset",
     "mathlib:Finsupp.support_floorDiv_subset",
@@ -5523,5 +5500,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Floor/Div.lean\",null,null,\"floorDiv_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Floor/Div.lean\",null,null,\"floorDiv_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Floor/Div.lean\",null,null,\"smul_floorDiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 456034,
+      "path": "data/train/p57/mathlib-000251-0000-d4c9dcca6a190869.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 170,
+      "sha256": "d4c9dcca6a190869dee38385adf969e74639620507e67e0e304d0e5e49650bed"
+    },
+    {
+      "bytes": 45740,
+      "path": "data/dev/p57/mathlib-000251-0000-846cf6b60c91f84d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "846cf6b60c91f84dd8f3886cd7379ab3aa455763eb2bda1aa43f65d2e7cb05cf"
+    },
+    {
+      "bytes": 60532,
+      "path": "data/internal_test/p57/mathlib-000251-0000-0c3f19570cba31ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0c3f19570cba31eeda557ea0748873b2b3cf3e7b822c2cce5e59c13f8d190d6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000252.json b/manifests/batches/mathlib/000252.json
index 097b96f1dfe15564787c1ac0b1d2e81475945429..38fe68942a271fb7f68f5dfdea342f0e965d5466 100644
--- a/manifests/batches/mathlib/000252.json
+++ b/manifests/batches/mathlib/000252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000252",
   "batch_fingerprint": "3ee992271222b5bbf13f5cc2d3bf2eb204da597ab9e64569820b47c8f4137a2c",
   "evidence": {
@@ -1999,29 +1998,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000252-0000-f889de67d7492bb2.parquet",
-      "sha256": "f889de67d7492bb27a8bf53e71d65040cd00ad6ac9de340abeb994e68b5dc8b1",
-      "bytes": 130465,
-      "rows": 37,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/mathlib-000252-0000-034eb4e235854170.parquet",
-      "sha256": "034eb4e2358541700b658d9a56ab1411e5163ff4cea2417510a3b15b586a2782",
-      "bytes": 32516,
-      "rows": 1,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000252-0000-61a361553eb6844f.parquet",
-      "sha256": "61a361553eb6844fb3603e82ab9a7461e3ddf8bfcf951b9f9efaf843e3971224",
-      "bytes": 54110,
-      "rows": 8,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:abs_abs_sub_abs_le_abs_sub",
     "mathlib:abs_add'",
@@ -2087,5 +2064,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Abs.lean\",null,null,\"one_le_mul_mabs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Abs.lean\",null,null,\"sup_div_inf_eq_mabs_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Abs.lean\",null,null,\"sup_sq_eq_mul_mul_mabs_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130465,
+      "path": "data/train/p00/mathlib-000252-0000-f889de67d7492bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f889de67d7492bb27a8bf53e71d65040cd00ad6ac9de340abeb994e68b5dc8b1"
+    },
+    {
+      "bytes": 32516,
+      "path": "data/dev/p00/mathlib-000252-0000-034eb4e235854170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "034eb4e2358541700b658d9a56ab1411e5163ff4cea2417510a3b15b586a2782"
+    },
+    {
+      "bytes": 54110,
+      "path": "data/internal_test/p00/mathlib-000252-0000-61a361553eb6844f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "61a361553eb6844fb3603e82ab9a7461e3ddf8bfcf951b9f9efaf843e3971224"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000253.json b/manifests/batches/mathlib/000253.json
index ccb55743dd4fb1a21e338573c453fe429fa245d8..bf384839e70bce8b788262a2567cb8d1b5c8ccc2 100644
--- a/manifests/batches/mathlib/000253.json
+++ b/manifests/batches/mathlib/000253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000253",
   "batch_fingerprint": "6f008cd39f6d991da4743bfd9ce9c015964a4e7bd47a32382c95b01b49e58b60",
   "evidence": {
@@ -390,22 +389,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000253-0000-f7e8c787245aa968.parquet",
-      "sha256": "f7e8c787245aa968bba89793cf790bd98773820aea72d4a59a233d34d20d2862",
-      "bytes": 56008,
-      "rows": 9,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/mathlib-000253-0000-c3e9cc0e260cfd0b.parquet",
-      "sha256": "c3e9cc0e260cfd0b2b65e138f8f16cabd3e3974a06ab6f6ecf550bf1675dd18f",
-      "bytes": 46378,
-      "rows": 2,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:one_lt_zpow'",
     "mathlib:zpow_mono_left",
@@ -419,5 +403,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Basic.lean\",null,null,\"zpow_mono_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Basic.lean\",null,null,\"zpow_right_strictMono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Basic.lean\",null,null,\"zpow_strictMono_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56008,
+      "path": "data/train/pf3/mathlib-000253-0000-f7e8c787245aa968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f7e8c787245aa968bba89793cf790bd98773820aea72d4a59a233d34d20d2862"
+    },
+    {
+      "bytes": 46378,
+      "path": "data/dev/pf3/mathlib-000253-0000-c3e9cc0e260cfd0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c3e9cc0e260cfd0b2b65e138f8f16cabd3e3974a06ab6f6ecf550bf1675dd18f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000254.json b/manifests/batches/mathlib/000254.json
index 7691614a919aede3ff46159888ae61ed5658d82a..0f598a021981b98618d12591ccaecd26434f46f7 100644
--- a/manifests/batches/mathlib/000254.json
+++ b/manifests/batches/mathlib/000254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000254",
   "batch_fingerprint": "f65cacbad343d171ac5e013ed53ce618876663c2b449f8551d3c256f11c7a31b",
   "evidence": {
@@ -896,29 +895,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000254-0000-e6301bc0dcfd5d87.parquet",
-      "sha256": "e6301bc0dcfd5d876d26618250773c5c56a4f4b9168357c7ac2cb4d0095d00ba",
-      "bytes": 200180,
-      "rows": 79,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/mathlib-000254-0000-c146dc9774f446d4.parquet",
-      "sha256": "c146dc9774f446d4491a13800c2159afb7658185ad4c43c1f2d8affc2115551e",
-      "bytes": 44602,
-      "rows": 4,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000254-0000-b8cedcf990478ca4.parquet",
-      "sha256": "b8cedcf990478ca467184f85b74445a8eac2909b3655798064bcf7b42f56e3a7",
-      "bytes": 46350,
-      "rows": 8,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Left.inv_le_one_iff",
     "mathlib:Left.inv_lt_one_iff",
@@ -1080,5 +1057,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Defs.lean\",null,null,\"mul_inv_lt_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Defs.lean\",null,null,\"one_le_div'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Defs.lean\",null,null,\"one_lt_div'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200180,
+      "path": "data/train/p6e/mathlib-000254-0000-e6301bc0dcfd5d87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 79,
+      "sha256": "e6301bc0dcfd5d876d26618250773c5c56a4f4b9168357c7ac2cb4d0095d00ba"
+    },
+    {
+      "bytes": 44602,
+      "path": "data/dev/p6e/mathlib-000254-0000-c146dc9774f446d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c146dc9774f446d4491a13800c2159afb7658185ad4c43c1f2d8affc2115551e"
+    },
+    {
+      "bytes": 46350,
+      "path": "data/internal_test/p6e/mathlib-000254-0000-b8cedcf990478ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b8cedcf990478ca467184f85b74445a8eac2909b3655798064bcf7b42f56e3a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000255.json b/manifests/batches/mathlib/000255.json
index d22a31f9aea4e2255dc413790647667f9ff926ea..6c8d988ef2dad4167dd76e3224fb7602df383434 100644
--- a/manifests/batches/mathlib/000255.json
+++ b/manifests/batches/mathlib/000255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000255",
   "batch_fingerprint": "2a4d1a4bb6809c9a2685769c3a20a5ff33baf18afb1f778946a333d8093d5199",
   "evidence": {
@@ -1067,22 +1066,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000255-0000-8239c3bb5cc98959.parquet",
-      "sha256": "8239c3bb5cc98959b51d0ffcb28a960d157d74b06ed4e0692cccb47ade98532a",
-      "bytes": 50745,
-      "rows": 15,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000255-0000-df355184aa326da2.parquet",
-      "sha256": "df355184aa326da29cb708bb2f16a1d768904fe32a82e5856d35083656a41c64",
-      "bytes": 48401,
-      "rows": 4,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.mulSupport_iSup",
     "mathlib:Int.abs_le_one_iff",
@@ -1110,5 +1094,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Int.lean\",null,null,\"Int.sign_eq_ediv_abs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Int.lean\",null,null,\"Int.sign_mul_abs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/Int.lean\",null,null,\"zpow_abs_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50745,
+      "path": "data/train/pc2/mathlib-000255-0000-8239c3bb5cc98959.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8239c3bb5cc98959b51d0ffcb28a960d157d74b06ed4e0692cccb47ade98532a"
+    },
+    {
+      "bytes": 48401,
+      "path": "data/internal_test/pc2/mathlib-000255-0000-df355184aa326da2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "df355184aa326da29cb708bb2f16a1d768904fe32a82e5856d35083656a41c64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000256.json b/manifests/batches/mathlib/000256.json
index de45ff508f3d23cc6a4a9662654ae79de89cc4f0..2d8f952b979a79c21371f888f08b1d8973965425 100644
--- a/manifests/batches/mathlib/000256.json
+++ b/manifests/batches/mathlib/000256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000256",
   "batch_fingerprint": "96699280848cd3b10c102dd0cbbe12c52df8bd61a02db44dad9aa44b90d89b0f",
   "evidence": {
@@ -509,15 +508,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000256-0000-471e9d0f007653f5.parquet",
-      "sha256": "471e9d0f007653f53b8b7f8b3413931737b4d9dfd1eb4d0d9b505fb22b3c74e8",
-      "bytes": 49083,
-      "rows": 8,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:abs_max_sub_max_le_abs",
     "mathlib:abs_min_sub_min_le_max",
@@ -537,5 +528,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/MinMax.lean\",null,null,\"max_one_div_max_inv_one_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/MinMax.lean\",null,null,\"min_div_div_left'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/MinMax.lean\",null,null,\"min_div_div_right'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49083,
+      "path": "data/train/pa5/mathlib-000256-0000-471e9d0f007653f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "471e9d0f007653f53b8b7f8b3413931737b4d9dfd1eb4d0d9b505fb22b3c74e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000257.json b/manifests/batches/mathlib/000257.json
index f50c2badb5a4a21596012fcc748e0ecefa18eafe..4eb2914bc9ee786e76c0128ff3cbe3bf22bdfa0b 100644
--- a/manifests/batches/mathlib/000257.json
+++ b/manifests/batches/mathlib/000257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000257",
   "batch_fingerprint": "9b91325160c276ca87e15a72432f87bd8934299078682e52c3e109b22104d2db",
   "evidence": {
@@ -128,15 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000257-0000-0acf39e5dcecd3db.parquet",
-      "sha256": "0acf39e5dcecd3dbd48acaff85bbe97b090520104d08d5f805b378a79e268203",
-      "bytes": 39198,
-      "rows": 4,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderIso.mulLeft_symm",
     "mathlib:OrderIso.mulRight_symm"
@@ -144,5 +135,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/OrderIso.lean\",null,null,\"OrderIso.mulLeft_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/OrderIso.lean\",null,null,\"OrderIso.mulRight_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39198,
+      "path": "data/train/pad/mathlib-000257-0000-0acf39e5dcecd3db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0acf39e5dcecd3dbd48acaff85bbe97b090520104d08d5f805b378a79e268203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000258.json b/manifests/batches/mathlib/000258.json
index 1d6c847cdcaebd993d4f3daaaccc287e57c15170..49b29e8f552a555b47eff34fa3a036bd73104215 100644
--- a/manifests/batches/mathlib/000258.json
+++ b/manifests/batches/mathlib/000258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000258",
   "batch_fingerprint": "a8f0c19e95a6f28514fcd582a843e711036e8a089f8752745fbfee894f91180c",
   "evidence": {
@@ -942,29 +941,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000258-0000-197fcab94098c222.parquet",
-      "sha256": "197fcab94098c22216bad9dab88137236da2b6536b273e525480bc9ca208b17d",
-      "bytes": 79549,
-      "rows": 27,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/mathlib-000258-0000-c7b69b059ca8afc3.parquet",
-      "sha256": "c7b69b059ca8afc3575ba8eb2ea9f3822886289fb9403463b0b1aaa8c924e54f",
-      "bytes": 37802,
-      "rows": 1,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000258-0000-49902e168d011e0c.parquet",
-      "sha256": "49902e168d011e0caa5d36b88c7746ffc8d4264329d26a069caad124602e6eb4",
-      "bytes": 45704,
-      "rows": 7,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:div_mabs_eq_inv_leOnePart_sq",
     "mathlib:inf_eq_div_oneLePart_div",
@@ -1018,5 +995,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/PosPart.lean\",null,null,\"one_lt_ltOnePart\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/PosPart.lean\",null,null,\"one_lt_oneLePart\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Group/PosPart.lean\",null,null,\"sup_eq_mul_oneLePart_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79549,
+      "path": "data/train/p53/mathlib-000258-0000-197fcab94098c222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "197fcab94098c22216bad9dab88137236da2b6536b273e525480bc9ca208b17d"
+    },
+    {
+      "bytes": 37802,
+      "path": "data/dev/p53/mathlib-000258-0000-c7b69b059ca8afc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c7b69b059ca8afc3575ba8eb2ea9f3822886289fb9403463b0b1aaa8c924e54f"
+    },
+    {
+      "bytes": 45704,
+      "path": "data/internal_test/p53/mathlib-000258-0000-49902e168d011e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "49902e168d011e0caa5d36b88c7746ffc8d4264329d26a069caad124602e6eb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000259.json b/manifests/batches/mathlib/000259.json
index c3cfe94bbaf3d52d7ba7ee4e3c23a9307fa3f167..5cc2689a047c53c150b2863ebd7766e52c41e824 100644
--- a/manifests/batches/mathlib/000259.json
+++ b/manifests/batches/mathlib/000259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000259",
   "batch_fingerprint": "b2672d447ff038ccea2a87101f5451614f1290d8cef3f9e90694b575fbd97fb8",
   "evidence": {
@@ -936,29 +935,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000259-0000-6901e101db8a498f.parquet",
-      "sha256": "6901e101db8a498fbc539671071771f90f7ed25f81e07e68365df05eb220655d",
-      "bytes": 92769,
-      "rows": 31,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/mathlib-000259-0000-3490924f3af0ce75.parquet",
-      "sha256": "3490924f3af0ce75eb67b5aa57da630e19f826ef05886a300fbd5c303ae74f67",
-      "bytes": 35260,
-      "rows": 1,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/mathlib-000259-0000-ebe01b49ba402049.parquet",
-      "sha256": "ebe01b49ba40204917f5c838f9f625b90500b65f59bbc7116100c315274fe1f0",
-      "bytes": 36195,
-      "rows": 2,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderIso.mulLeft\u2080'_symm",
     "mathlib:OrderIso.mulRight\u2080'_symm",
@@ -1008,5 +985,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/GroupWithZero/Canonical.lean\",null,null,\"pow_lt_pow_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/GroupWithZero/Canonical.lean\",null,null,\"pow_pos_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/GroupWithZero/Canonical.lean\",null,null,\"zero_le'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92769,
+      "path": "data/train/pcd/mathlib-000259-0000-6901e101db8a498f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6901e101db8a498fbc539671071771f90f7ed25f81e07e68365df05eb220655d"
+    },
+    {
+      "bytes": 35260,
+      "path": "data/dev/pcd/mathlib-000259-0000-3490924f3af0ce75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3490924f3af0ce75eb67b5aa57da630e19f826ef05886a300fbd5c303ae74f67"
+    },
+    {
+      "bytes": 36195,
+      "path": "data/internal_test/pcd/mathlib-000259-0000-ebe01b49ba402049.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ebe01b49ba40204917f5c838f9f625b90500b65f59bbc7116100c315274fe1f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000260.json b/manifests/batches/mathlib/000260.json
index 2f08ae3f34a33b5476082e2b640e66f4a6a09d64..97352484e7ce1a83cda469f10c125558aac097b2 100644
--- a/manifests/batches/mathlib/000260.json
+++ b/manifests/batches/mathlib/000260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000260",
   "batch_fingerprint": "a4a7d9489e7884025d996856537b70923a77615b67ba71bd6496cbe8d1c17506",
   "evidence": {
@@ -2827,29 +2826,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000260-0000-7866918cda7a13dc.parquet",
-      "sha256": "7866918cda7a13dcc2c3e187847074bae91927e84bd8e90cf3b35afce974f819",
-      "bytes": 119182,
-      "rows": 33,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/mathlib-000260-0000-8c45e39eb1cb4be3.parquet",
-      "sha256": "8c45e39eb1cb4be3e4c7b4cd592abde2b55acd3378d2ee3f268d03d892ac86d7",
-      "bytes": 34798,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/mathlib-000260-0000-7ba90fe4f2a45332.parquet",
-      "sha256": "7ba90fe4f2a45332a1e26236008f13c664b2d6055fe36a7802fc60e0d40e49f0",
-      "bytes": 54262,
-      "rows": 6,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Left.mul_nonneg",
     "mathlib:Left.mul_pos",
@@ -2929,5 +2906,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Basic.lean\",null,null,\"map_div_le_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Basic.lean\",null,null,\"map_div_rev\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Basic.lean\",null,null,\"map_eq_zero_iff_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119182,
+      "path": "data/train/p1a/mathlib-000260-0000-7866918cda7a13dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "7866918cda7a13dcc2c3e187847074bae91927e84bd8e90cf3b35afce974f819"
+    },
+    {
+      "bytes": 34798,
+      "path": "data/dev/p1a/mathlib-000260-0000-8c45e39eb1cb4be3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8c45e39eb1cb4be3e4c7b4cd592abde2b55acd3378d2ee3f268d03d892ac86d7"
+    },
+    {
+      "bytes": 54262,
+      "path": "data/internal_test/p1a/mathlib-000260-0000-7ba90fe4f2a45332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7ba90fe4f2a45332a1e26236008f13c664b2d6055fe36a7802fc60e0d40e49f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000261.json b/manifests/batches/mathlib/000261.json
index 675e2709a06040c496f810d5995271694c5c5072..815722d0d62e0f1c7abafb17fed55cdd20cfc3f9 100644
--- a/manifests/batches/mathlib/000261.json
+++ b/manifests/batches/mathlib/000261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000261",
   "batch_fingerprint": "89faea6bc9f240383803b8aea37afbc53ed9e6138dfc5fe32c270ece3d7070ad",
   "evidence": {
@@ -2155,15 +2154,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000261-0000-37f4f8a9e7eda09f.parquet",
-      "sha256": "37f4f8a9e7eda09fe57b7b30e6b73b994ff736b23135bab8c78899193ee66c67",
-      "bytes": 72938,
-      "rows": 18,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderMonoidHom.cancel_left",
     "mathlib:OrderMonoidHom.cancel_right",
@@ -2197,5 +2188,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Ring.lean\",null,null,\"OrderRingHom.cancel_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Ring.lean\",null,null,\"OrderRingIso.refl_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Hom/Ring.lean\",null,null,\"OrderRingIso.toOrderRingHom_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72938,
+      "path": "data/train/pfd/mathlib-000261-0000-37f4f8a9e7eda09f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "37f4f8a9e7eda09fe57b7b30e6b73b994ff736b23135bab8c78899193ee66c67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000262.json b/manifests/batches/mathlib/000262.json
index 265f0dcbc1818cefb1d7ca372a60c9b8aa6a3a1b..31eea941d4444fa4c3317e16940a2a72639b336a 100644
--- a/manifests/batches/mathlib/000262.json
+++ b/manifests/batches/mathlib/000262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000262",
   "batch_fingerprint": "46c736d1db33d204bb8d2a43028ae1ff10e80fdef2e3713dcd490dbc1a1cd993",
   "evidence": {
@@ -1480,15 +1479,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000262-0000-26cdb5b3fa8cc1d0.parquet",
-      "sha256": "26cdb5b3fa8cc1d0205fa1464b9cdb596acb2e912b125872553e79325868a6ac",
-      "bytes": 70720,
-      "rows": 25,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.image_add_left_Ico",
     "mathlib:Finset.image_add_left_Ioc",
@@ -1526,5 +1517,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Finset.lean\",null,null,\"Finset.map_add_right_Ico\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Finset.lean\",null,null,\"Finset.map_add_right_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Finset.lean\",null,null,\"Finset.map_add_right_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70720,
+      "path": "data/train/p90/mathlib-000262-0000-26cdb5b3fa8cc1d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "26cdb5b3fa8cc1d0205fa1464b9cdb596acb2e912b125872553e79325868a6ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000263.json b/manifests/batches/mathlib/000263.json
index 9418376dd60b16ad3b30e015deca50194a54597d..60a188f7591a9812d058941cedc0d122c925ff38 100644
--- a/manifests/batches/mathlib/000263.json
+++ b/manifests/batches/mathlib/000263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000263",
   "batch_fingerprint": "23cf749619bb887ebfa6738dc133a36f7452498c90a7d6143c0ec2a6d9195b91",
   "evidence": {
@@ -888,15 +887,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000263-0000-ada7790a45022a61.parquet",
-      "sha256": "ada7790a45022a6134c625a302a0b677cb237d1e5697317ae629f5816affe2bd",
-      "bytes": 51146,
-      "rows": 15,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.map_add_right_Ico",
     "mathlib:Multiset.map_add_right_Ioc",
@@ -924,5 +915,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Group.lean\",null,null,\"Set.pairwise_disjoint_Ioo_add_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Group.lean\",null,null,\"Set.pairwise_disjoint_Ioo_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Group.lean\",null,null,\"Set.pairwise_disjoint_Ioo_zpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51146,
+      "path": "data/train/ped/mathlib-000263-0000-ada7790a45022a61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ada7790a45022a6134c625a302a0b677cb237d1e5697317ae629f5816affe2bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000264.json b/manifests/batches/mathlib/000264.json
index 921768c22463a3e80a6783e77a272f342756e1a4..36c2cb71fd6eca071f0e22ea56708aa8f4ff4a09 100644
--- a/manifests/batches/mathlib/000264.json
+++ b/manifests/batches/mathlib/000264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000264",
   "batch_fingerprint": "011a56e3d64347f90efe03699a4980b1350aca7913af4417cc106f8978b38692",
   "evidence": {
@@ -968,29 +967,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000264-0000-8ae2ad2f64bf7dfd.parquet",
-      "sha256": "8ae2ad2f64bf7dfdf15293bcc32f8cc864b308636cc3255a9296003e02617640",
-      "bytes": 62777,
-      "rows": 24,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/mathlib-000264-0000-e91d7b6104c67900.parquet",
-      "sha256": "e91d7b6104c67900916224a50cf0c262df7d406738ee1ddf40ecd32e963dd789",
-      "bytes": 31762,
-      "rows": 3,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/mathlib-000264-0000-ea03be1c8dd58211.parquet",
-      "sha256": "ea03be1c8dd58211debf43e9df9ab7f13b0d0b76aee0594864fbb492f9cb7cf4",
-      "bytes": 36156,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Icc.coe_eq_one",
     "mathlib:Set.Icc.coe_eq_zero",
@@ -1032,5 +1009,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Monoid.lean\",null,null,\"Set.image_const_add_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Monoid.lean\",null,null,\"Set.image_const_add_Ioi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Interval/Set/Monoid.lean\",null,null,\"Set.image_const_add_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62777,
+      "path": "data/train/pf3/mathlib-000264-0000-8ae2ad2f64bf7dfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8ae2ad2f64bf7dfdf15293bcc32f8cc864b308636cc3255a9296003e02617640"
+    },
+    {
+      "bytes": 31762,
+      "path": "data/dev/pf3/mathlib-000264-0000-e91d7b6104c67900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e91d7b6104c67900916224a50cf0c262df7d406738ee1ddf40ecd32e963dd789"
+    },
+    {
+      "bytes": 36156,
+      "path": "data/internal_test/pf3/mathlib-000264-0000-ea03be1c8dd58211.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ea03be1c8dd58211debf43e9df9ab7f13b0d0b76aee0594864fbb492f9cb7cf4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000265.json b/manifests/batches/mathlib/000265.json
index b2301b5cc0275c5114bcc030544298af8495caf0..0ba44cba9d882fb3f45de714b7bbbc015396386a 100644
--- a/manifests/batches/mathlib/000265.json
+++ b/manifests/batches/mathlib/000265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000265",
   "batch_fingerprint": "7836f0760f398cb264ef589eed04b160e0ec6b9f71057404fc40e5a6affc4af2",
   "evidence": {
@@ -379,29 +378,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000265-0000-114fdfd0db5dfe5b.parquet",
-      "sha256": "114fdfd0db5dfe5b6ba77f2504c94a1014b9512b7b6bff8f5d3a6506761f42d1",
-      "bytes": 42644,
-      "rows": 10,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/mathlib-000265-0000-4bd96096d528aacd.parquet",
-      "sha256": "4bd96096d528aacd6e541c9b39f3eafb257be50966c1e9266f5e44fd213dab33",
-      "bytes": 39243,
-      "rows": 3,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/quarantine/mathlib-000265-0000-8d985b7a9edd0169.parquet",
-      "sha256": "8d985b7a9edd01693e0160ecb1bd2c288333e8abb00246b795ae065ea9bf4ae5",
-      "bytes": 39326,
-      "rows": 1,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:add_eq_left_iff_le",
     "mathlib:add_eq_right_iff_le",
@@ -431,5 +408,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Kleene.lean\",null,null,\"kstar_le_of_mul_le_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Kleene.lean\",null,null,\"nsmul_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Kleene.lean\",null,null,\"pow_le_kstar\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42644,
+      "path": "data/train/p94/mathlib-000265-0000-114fdfd0db5dfe5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "114fdfd0db5dfe5b6ba77f2504c94a1014b9512b7b6bff8f5d3a6506761f42d1"
+    },
+    {
+      "bytes": 39243,
+      "path": "data/internal_test/p94/mathlib-000265-0000-4bd96096d528aacd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4bd96096d528aacd6e541c9b39f3eafb257be50966c1e9266f5e44fd213dab33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000266.json b/manifests/batches/mathlib/000266.json
index b70c376512175ee551f8997e1fb3e3b703549e96..7968d464134e02f8a7525137f57b421da849c908 100644
--- a/manifests/batches/mathlib/000266.json
+++ b/manifests/batches/mathlib/000266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000266",
   "batch_fingerprint": "0a92452d6f41160f52944ab5d28c8cb2931509fafcf237525d8fd970a3d36bb7",
   "evidence": {
@@ -1720,22 +1719,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000266-0000-48a4b79af31a27b6.parquet",
-      "sha256": "48a4b79af31a27b6d78c0c3f0beca23dbd659721b2937372732aa7bcb68bbfb0",
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-      "rows": 86,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
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-      "sha256": "d26b1b8cbdd7de4f300ac2a47bc0956d0dfba0a5a9177b6d4ce41a69282bf2b0",
-      "bytes": 60943,
-      "rows": 7,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PosSMulMono.lift",
     "mathlib:PosSMulReflectLE.lift",
@@ -1861,5 +1845,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/Defs.lean\",null,null,\"smul_pos_iff_of_neg_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/Defs.lean\",null,null,\"smul_pos_iff_of_pos_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/Defs.lean\",null,null,\"smul_pos_iff_of_pos_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313225,
+      "path": "data/train/p17/mathlib-000266-0000-48a4b79af31a27b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "48a4b79af31a27b6d78c0c3f0beca23dbd659721b2937372732aa7bcb68bbfb0"
+    },
+    {
+      "bytes": 60943,
+      "path": "data/internal_test/p17/mathlib-000266-0000-d26b1b8cbdd7de4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d26b1b8cbdd7de4f300ac2a47bc0956d0dfba0a5a9177b6d4ce41a69282bf2b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000267.json b/manifests/batches/mathlib/000267.json
index aa625415069a4a73a0bc5496121c5484a72849dd..9d5ca3c05fd9632b7154a49bfe2c76fbe46f5a12 100644
--- a/manifests/batches/mathlib/000267.json
+++ b/manifests/batches/mathlib/000267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000267",
   "batch_fingerprint": "9bebfe8748dd2b960df68c35774158b79fcdd32202a696feba5fc68d535bd8e0",
   "evidence": {
@@ -452,15 +451,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000267-0000-12fa5d5392d9fd71.parquet",
-      "sha256": "12fa5d5392d9fd71290c364de0e783166fc04db26010f93f385296f1700b04ba",
-      "bytes": 68155,
-      "rows": 6,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:inf_eq_half_smul_add_sub_abs_sub",
     "mathlib:inf_eq_half_smul_add_sub_abs_sub'",
@@ -472,5 +463,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/OrderedSMul.lean\",null,null,\"inf_eq_half_smul_add_sub_abs_sub'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/OrderedSMul.lean\",null,null,\"sup_eq_half_smul_add_add_abs_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Module/OrderedSMul.lean\",null,null,\"sup_eq_half_smul_add_add_abs_sub'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68155,
+      "path": "data/train/pc0/mathlib-000267-0000-12fa5d5392d9fd71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "12fa5d5392d9fd71290c364de0e783166fc04db26010f93f385296f1700b04ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000268.json b/manifests/batches/mathlib/000268.json
index 69b011dd1ede38edfd5d3b424ad310f8e2bc0d21..0b6679f9b5f52591f022d2b2cee88bb80811d7b3 100644
--- a/manifests/batches/mathlib/000268.json
+++ b/manifests/batches/mathlib/000268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000268",
   "batch_fingerprint": "a97789a03507ab084a524af4a96cbab19f38b60dfca37551e406fa7308265d38",
   "evidence": {
@@ -752,22 +751,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000268-0000-8792186529ce4389.parquet",
-      "sha256": "8792186529ce4389a3b2981c0dc00cc2fbbc687ff4131f8302a1dfa050dd574f",
-      "bytes": 60842,
-      "rows": 19,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000268-0000-7a203a165e2f693b.parquet",
-      "sha256": "7a203a165e2f693b16f2ef53ff7502f1dadc0425731dc464e7bd16a900404c54",
-      "bytes": 60001,
-      "rows": 2,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:exists_one_lt_mul_of_lt",
     "mathlib:exists_one_lt_mul_of_lt'",
@@ -797,5 +781,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Defs.lean\",null,null,\"mul_self_le_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Defs.lean\",null,null,\"mul_self_lt_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Defs.lean\",null,null,\"one_le_mul_self_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60842,
+      "path": "data/train/pc2/mathlib-000268-0000-8792186529ce4389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8792186529ce4389a3b2981c0dc00cc2fbbc687ff4131f8302a1dfa050dd574f"
+    },
+    {
+      "bytes": 60001,
+      "path": "data/internal_test/pc2/mathlib-000268-0000-7a203a165e2f693b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7a203a165e2f693b16f2ef53ff7502f1dadc0425731dc464e7bd16a900404c54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000269.json b/manifests/batches/mathlib/000269.json
index bb73e40da8abd69da9677f94ca242d20e6bc6f3f..e51ca005d42f94bd7ee4853a323f6dc6615570c3 100644
--- a/manifests/batches/mathlib/000269.json
+++ b/manifests/batches/mathlib/000269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000269",
   "batch_fingerprint": "b15297a829117f41d01fad1a60f3bb06e1dd7fa19e3793178d4c3e440f813c76",
   "evidence": {
@@ -238,15 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000269-0000-06bce78cbb3657ae.parquet",
-      "sha256": "06bce78cbb3657aeb825391855b31bccdaeaf25b784fda61272672fcc8475738",
-      "bytes": 52305,
-      "rows": 8,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:one_lt_two",
     "mathlib:zero_le_three",
@@ -258,5 +249,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/NatCast.lean\",null,null,\"zero_le_three\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/NatCast.lean\",null,null,\"zero_lt_four\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/NatCast.lean\",null,null,\"zero_lt_three\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52305,
+      "path": "data/train/pbf/mathlib-000269-0000-06bce78cbb3657ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "06bce78cbb3657aeb825391855b31bccdaeaf25b784fda61272672fcc8475738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000270.json b/manifests/batches/mathlib/000270.json
index 5f852eed352fb4da3c93077337be1cec5c625ed8..282f4d955630a1a10c731c6381814fb6fde79c21 100644
--- a/manifests/batches/mathlib/000270.json
+++ b/manifests/batches/mathlib/000270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000270",
   "batch_fingerprint": "cb93226c4b74fd996f003cc3d6a69ef7b5e36bd0afbc2be72c9f5546381316b9",
   "evidence": {
@@ -349,7 +348,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000271.json b/manifests/batches/mathlib/000271.json
index 4463e4533898a03d208e7dc442efb1958dd731e5..523f11fab2a7efc5385661c37e017792dfcc1827 100644
--- a/manifests/batches/mathlib/000271.json
+++ b/manifests/batches/mathlib/000271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000271",
   "batch_fingerprint": "fa82a227945a9c9f64f186fd4cac2385cd0948438020eea442c1bb315ed6dbe1",
   "evidence": {
@@ -3727,29 +3726,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000271-0000-eb79ea8d20b4055f.parquet",
-      "sha256": "eb79ea8d20b4055fff3406ed666cc5dca8bd3a07818e30c9f611219523b81094",
-      "bytes": 79016,
-      "rows": 30,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/mathlib-000271-0000-9852da880be844a9.parquet",
-      "sha256": "9852da880be844a941a53658845d8a2e5841f2355a27b6069fe9accf97d7228f",
-      "bytes": 51160,
-      "rows": 4,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000271-0000-bc9dd86f8e45ee16.parquet",
-      "sha256": "bc9dd86f8e45ee1656e480124263dc8c4079a647f38d08ff78f3791358bc0bbe",
-      "bytes": 36181,
-      "rows": 1,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Left.min_le_max_of_mul_le_mul",
     "mathlib:MulLECancellable.injective_left",
@@ -3807,5 +3784,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean\",null,null,\"one_lt_of_lt_mul_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean\",null,null,\"contravariant_flip_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean\",null,null,\"covariant_flip_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79016,
+      "path": "data/train/p7c/mathlib-000271-0000-eb79ea8d20b4055f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "eb79ea8d20b4055fff3406ed666cc5dca8bd3a07818e30c9f611219523b81094"
+    },
+    {
+      "bytes": 51160,
+      "path": "data/dev/p7c/mathlib-000271-0000-9852da880be844a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9852da880be844a941a53658845d8a2e5841f2355a27b6069fe9accf97d7228f"
+    },
+    {
+      "bytes": 36181,
+      "path": "data/internal_test/p7c/mathlib-000271-0000-bc9dd86f8e45ee16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bc9dd86f8e45ee1656e480124263dc8c4079a647f38d08ff78f3791358bc0bbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000272.json b/manifests/batches/mathlib/000272.json
index d83fdd5010fa865048c78e5ddeff0f770f1b3af8..af2a0ec4d17e9f852839fcbf38f8dc8cb7451751 100644
--- a/manifests/batches/mathlib/000272.json
+++ b/manifests/batches/mathlib/000272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000272",
   "batch_fingerprint": "844376c26c50bdaf9063c5441b30fe9639560836678f11b13b6c67a213df610f",
   "evidence": {
@@ -908,29 +907,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000272-0000-2f1f4e786e701ea7.parquet",
-      "sha256": "2f1f4e786e701ea74f95310e301db3ba4fef997e07e8a9f52d7084927adf64af",
-      "bytes": 91908,
-      "rows": 29,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000272-0000-ac774f4a67fb341b.parquet",
-      "sha256": "ac774f4a67fb341b046877e8919ab9ddee4a1822d9115703f9855b751959ccd5",
-      "bytes": 49542,
-      "rows": 4,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/quarantine/mathlib-000272-0000-1f0c244fc4d5f440.parquet",
-      "sha256": "1f0c244fc4d5f44010fb851e6d669da38015bbca4d2f887e90b648589b998e34",
-      "bytes": 44113,
-      "rows": 2,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Left.one_le_pow_of_le",
     "mathlib:Left.pow_le_one_of_le",
@@ -972,5 +949,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean\",null,null,\"pow_eq_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean\",null,null,\"pow_le_pow_right'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean\",null,null,\"pow_lt_pow_right'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91908,
+      "path": "data/train/p22/mathlib-000272-0000-2f1f4e786e701ea7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "2f1f4e786e701ea74f95310e301db3ba4fef997e07e8a9f52d7084927adf64af"
+    },
+    {
+      "bytes": 49542,
+      "path": "data/internal_test/p22/mathlib-000272-0000-ac774f4a67fb341b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ac774f4a67fb341b046877e8919ab9ddee4a1822d9115703f9855b751959ccd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000273.json b/manifests/batches/mathlib/000273.json
index 84db9fe8106f453a12faca2732b9a356d4e89c30..d842eac65c5de98c4dd6e23d15e0d21191309585 100644
--- a/manifests/batches/mathlib/000273.json
+++ b/manifests/batches/mathlib/000273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000273",
   "batch_fingerprint": "09c841201d49bc7c4236d0991236a0700fa0a52b7b87970ce45f171d8490f28f",
   "evidence": {
@@ -2501,15 +2500,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000273-0000-9682e9fec518d18f.parquet",
-      "sha256": "9682e9fec518d18fcbe88e341ded68ab0ebeb8678ef4fdd37f660ee85180ab64",
-      "bytes": 35933,
-      "rows": 4,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WithBot.add_bot",
     "mathlib:WithTop.add_coe_eq_top_iff",
@@ -2521,5 +2512,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/WithTop.lean\",null,null,\"WithTop.add_coe_eq_top_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/WithTop.lean\",null,null,\"WithTop.add_lt_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Monoid/WithTop.lean\",null,null,\"WithTop.coe_add_eq_top_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35933,
+      "path": "data/train/p6b/mathlib-000273-0000-9682e9fec518d18f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9682e9fec518d18fcbe88e341ded68ab0ebeb8678ef4fdd37f660ee85180ab64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000274.json b/manifests/batches/mathlib/000274.json
index 2edb6725b64cab3d56e10033f6c92d81c8d68bb8..cf7c9ec113f455a902fcc1b0704d4b48e26aa865 100644
--- a/manifests/batches/mathlib/000274.json
+++ b/manifests/batches/mathlib/000274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000274",
   "batch_fingerprint": "5df3b6f00e8e0231a0270c81c56068ebd27f2fac5583bf31a6b4ee2dd8fc04a2",
   "evidence": {
@@ -1316,29 +1315,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000274-0000-f02af6bf1de58d38.parquet",
-      "sha256": "f02af6bf1de58d38efb29b9904aff8ead19380393a6fb0e65e75bb3f4d3be219",
-      "bytes": 138851,
-      "rows": 37,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/mathlib-000274-0000-e3d19fc736af2b29.parquet",
-      "sha256": "e3d19fc736af2b293a01247e87bdfba5ce8fffdbc4096da071fa98e61bc7d65d",
-      "bytes": 42904,
-      "rows": 1,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/mathlib-000274-0000-99332f4575254d6a.parquet",
-      "sha256": "99332f4575254d6a255244de0a0f054d2b7b2da8b3060a5e7899d16330154cb2",
-      "bytes": 65572,
-      "rows": 6,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNRat.cast_nonneg",
     "mathlib:Nonneg.mk_nnqsmul",
@@ -1416,5 +1393,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Field.lean\",null,null,\"NNRat.cast_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Field.lean\",null,null,\"Nonneg.mk_nnqsmul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Field.lean\",null,null,\"nnqsmul_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138851,
+      "path": "data/train/pac/mathlib-000274-0000-f02af6bf1de58d38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f02af6bf1de58d38efb29b9904aff8ead19380393a6fb0e65e75bb3f4d3be219"
+    },
+    {
+      "bytes": 42904,
+      "path": "data/dev/pac/mathlib-000274-0000-e3d19fc736af2b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e3d19fc736af2b293a01247e87bdfba5ce8fffdbc4096da071fa98e61bc7d65d"
+    },
+    {
+      "bytes": 65572,
+      "path": "data/internal_test/pac/mathlib-000274-0000-99332f4575254d6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "99332f4575254d6a255244de0a0f054d2b7b2da8b3060a5e7899d16330154cb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000275.json b/manifests/batches/mathlib/000275.json
index ff20f039fe95194d9f3f06abe097ba8e141d9e5d..e0706c530504e3d49257abc576543ff23e863269 100644
--- a/manifests/batches/mathlib/000275.json
+++ b/manifests/batches/mathlib/000275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000275",
   "batch_fingerprint": "e974358b965ae231a00c2a3d3e0e9dd7a6564fabb9a0352e1e80d69f5238adc8",
   "evidence": {
@@ -63,7 +62,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000276.json b/manifests/batches/mathlib/000276.json
index 5d24a44dce3056c744150b5fb708d82a42bfcb2a..c27d3c2d3ecb215842d4f980e822af37c6ac4ca5 100644
--- a/manifests/batches/mathlib/000276.json
+++ b/manifests/batches/mathlib/000276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000276",
   "batch_fingerprint": "a4c1bc253c971634a377ec354a01a71234333071b063fd922f7857700ab5e7c3",
   "evidence": {
@@ -628,22 +627,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000276-0000-f43a09398d9c6c08.parquet",
-      "sha256": "f43a09398d9c6c088d1707a708801aedafacc607a51465c76f2e8349f2efc3ff",
-      "bytes": 41713,
-      "rows": 4,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/mathlib-000276-0000-e2367d2101724ca0.parquet",
-      "sha256": "e2367d2101724ca03c73131beeef84a7b66759cf76b3b134170c34575666d865",
-      "bytes": 32165,
-      "rows": 1,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nonneg.toNonneg_le",
     "mathlib:Nonneg.toNonneg_lt",
@@ -653,5 +637,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Ring.lean\",null,null,\"Nonneg.toNonneg_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Ring.lean\",null,null,\"Nonneg.toNonneg_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Nonneg/Ring.lean\",null,null,\"Nonneg.toNonneg_of_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41713,
+      "path": "data/train/pec/mathlib-000276-0000-f43a09398d9c6c08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f43a09398d9c6c088d1707a708801aedafacc607a51465c76f2e8349f2efc3ff"
+    },
+    {
+      "bytes": 32165,
+      "path": "data/dev/pec/mathlib-000276-0000-e2367d2101724ca0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e2367d2101724ca03c73131beeef84a7b66759cf76b3b134170c34575666d865"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000277.json b/manifests/batches/mathlib/000277.json
index 7ba6964c7bb5248472b1b038c842c52ec041072d..5b02278a6d874bf798844e1954dd0f74bada2bbc 100644
--- a/manifests/batches/mathlib/000277.json
+++ b/manifests/batches/mathlib/000277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000277",
   "batch_fingerprint": "7faee743691a91723746fcf322332424191b7bb19fc7e6c45a4219a9d9de93eb",
   "evidence": {
@@ -1178,22 +1177,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000277-0000-5afe76a19d54a5c8.parquet",
-      "sha256": "5afe76a19d54a5c8a60d05bd2e209d82cade28326887a39b16498d0fce341941",
-      "bytes": 63675,
-      "rows": 8,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/mathlib-000277-0000-89df324ade9419af.parquet",
-      "sha256": "89df324ade9419af3285bc01551e954125ad09244c8f2a075d380ef676342d66",
-      "bytes": 57035,
-      "rows": 4,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:csInf_div",
     "mathlib:csInf_inv",
@@ -1213,5 +1197,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Pointwise.lean\",null,null,\"sInf_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Pointwise.lean\",null,null,\"sSup_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Pointwise.lean\",null,null,\"sSup_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63675,
+      "path": "data/train/pd1/mathlib-000277-0000-5afe76a19d54a5c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5afe76a19d54a5c8a60d05bd2e209d82cade28326887a39b16498d0fce341941"
+    },
+    {
+      "bytes": 57035,
+      "path": "data/dev/pd1/mathlib-000277-0000-89df324ade9419af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "89df324ade9419af3285bc01551e954125ad09244c8f2a075d380ef676342d66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000278.json b/manifests/batches/mathlib/000278.json
index 662f1c249e3239d5e0c1efea9136a710cacdd3ab..c6a3972d0c87395dd89531dbc4158555508b5065 100644
--- a/manifests/batches/mathlib/000278.json
+++ b/manifests/batches/mathlib/000278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000278",
   "batch_fingerprint": "83f27af1697ee160028bf28c16a69bf3e7521c971976527405f5737218f49ccb",
   "evidence": {
@@ -1544,29 +1543,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000278-0000-6d777e8a8048b328.parquet",
-      "sha256": "6d777e8a8048b3280e2ffa851b8cb18fa960e833df10ba54d272b501403428c8",
-      "bytes": 69193,
-      "rows": 9,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/mathlib-000278-0000-8c9def89ba6b85f9.parquet",
-      "sha256": "8c9def89ba6b85f90e7221d4c6ec0096d0b7b67e292d79600b08e9d4cf3412ae",
-      "bytes": 53922,
-      "rows": 1,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000278-0000-0784399505c0971a.parquet",
-      "sha256": "0784399505c0971a4986833a79d5fca1f7a22bb94a05199e596c80b7077706f8",
-      "bytes": 53797,
-      "rows": 1,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antivary.sum_comp_perm_smul_eq_sum_smul_iff",
     "mathlib:Antivary.sum_smul_comp_perm_eq_sum_smul_iff",
@@ -1592,5 +1569,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Rearrangement.lean\",null,null,\"Monovary.sum_smul_comp_perm_lt_sum_smul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Rearrangement.lean\",null,null,\"MonovaryOn.sum_comp_perm_smul_lt_sum_smul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Rearrangement.lean\",null,null,\"MonovaryOn.sum_smul_comp_perm_lt_sum_smul_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69193,
+      "path": "data/train/p54/mathlib-000278-0000-6d777e8a8048b328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6d777e8a8048b3280e2ffa851b8cb18fa960e833df10ba54d272b501403428c8"
+    },
+    {
+      "bytes": 53922,
+      "path": "data/dev/p54/mathlib-000278-0000-8c9def89ba6b85f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8c9def89ba6b85f90e7221d4c6ec0096d0b7b67e292d79600b08e9d4cf3412ae"
+    },
+    {
+      "bytes": 53797,
+      "path": "data/internal_test/p54/mathlib-000278-0000-0784399505c0971a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0784399505c0971a4986833a79d5fca1f7a22bb94a05199e596c80b7077706f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000279.json b/manifests/batches/mathlib/000279.json
index 02eb7ce8a29f17f1b5cf8552c49637aee6018272..c5cc6691cb4663c63f0949260a754906b7b3a8eb 100644
--- a/manifests/batches/mathlib/000279.json
+++ b/manifests/batches/mathlib/000279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000279",
   "batch_fingerprint": "5d6fe0729f9fa90c4fb456d5bd51e210208f8bfec713cefd9ac77c97fe9adfdb",
   "evidence": {
@@ -2152,29 +2151,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000279-0000-4996ed7ead949165.parquet",
-      "sha256": "4996ed7ead9491651d368f0e85ce5bddae4b511ca278f53568f57e79a310db63",
-      "bytes": 168790,
-      "rows": 62,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/dev/mathlib-000279-0000-151a6ccef7aec989.parquet",
-      "sha256": "151a6ccef7aec98936480b13c6ab55861bc5b739164e78e6d08afe2bc5e3a2f4",
-      "bytes": 50929,
-      "rows": 4,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000279-0000-3a8eb5eeea570263.parquet",
-      "sha256": "3a8eb5eeea5702632f9434b900973e44167865f98c5f2c0c65c210f001bc028d",
-      "bytes": 50968,
-      "rows": 6,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Even.pow_abs",
     "mathlib:Even.pow_nonneg",
@@ -2282,5 +2259,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Basic.lean\",null,null,\"sq_eq_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Basic.lean\",null,null,\"sq_pos_of_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Basic.lean\",null,null,\"zero_pow_le_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168790,
+      "path": "data/train/p60/mathlib-000279-0000-4996ed7ead949165.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "4996ed7ead9491651d368f0e85ce5bddae4b511ca278f53568f57e79a310db63"
+    },
+    {
+      "bytes": 50929,
+      "path": "data/dev/p60/mathlib-000279-0000-151a6ccef7aec989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "151a6ccef7aec98936480b13c6ab55861bc5b739164e78e6d08afe2bc5e3a2f4"
+    },
+    {
+      "bytes": 50968,
+      "path": "data/internal_test/p60/mathlib-000279-0000-3a8eb5eeea570263.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3a8eb5eeea5702632f9434b900973e44167865f98c5f2c0c65c210f001bc028d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000280.json b/manifests/batches/mathlib/000280.json
index da58ded10e91bf0a6c90b0d5dfac1fe11fb9d84f..3aab0b863becfc4d20e262e9ba61e8070b5f6706 100644
--- a/manifests/batches/mathlib/000280.json
+++ b/manifests/batches/mathlib/000280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000280",
   "batch_fingerprint": "2d90049ac342f21a9127ec6fe291430166fe1f064fe37746dbaf16bd20864575",
   "evidence": {
@@ -665,22 +664,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000280-0000-c7f1b42af8fc5ca4.parquet",
-      "sha256": "c7f1b42af8fc5ca45b608163a6a648f49aa85046616bdf80058df112332962cf",
-      "bytes": 57477,
-      "rows": 12,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000280-0000-2dc781ccfc42b489.parquet",
-      "sha256": "2dc781ccfc42b489abcaf666c84747598e18e6010d9b43595404add3e54153f2",
-      "bytes": 41690,
-      "rows": 6,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddLECancellable.tsub_mul",
     "mathlib:Int.cast_abs",
@@ -706,5 +690,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Cast.lean\",null,null,\"Int.cast_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Cast.lean\",null,null,\"Int.cast_nonpos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Cast.lean\",null,null,\"Int.cast_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57477,
+      "path": "data/train/p73/mathlib-000280-0000-c7f1b42af8fc5ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c7f1b42af8fc5ca45b608163a6a648f49aa85046616bdf80058df112332962cf"
+    },
+    {
+      "bytes": 41690,
+      "path": "data/internal_test/p73/mathlib-000280-0000-2dc781ccfc42b489.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2dc781ccfc42b489abcaf666c84747598e18e6010d9b43595404add3e54153f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000281.json b/manifests/batches/mathlib/000281.json
index f0e6b14902c47c29a3bb6f478dc7c9b337cb891c..fa475f143d341d0e64d8f8519ddc2109e9ce5850 100644
--- a/manifests/batches/mathlib/000281.json
+++ b/manifests/batches/mathlib/000281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000281",
   "batch_fingerprint": "0c1617274088fa84f9ff9bbdda8474e7adc6a3c970e0f8ce3ad1b59b28d1ed77",
   "evidence": {
@@ -3136,22 +3135,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000281-0000-2c6fb8852697eab4.parquet",
-      "sha256": "2c6fb8852697eab417a1504368b52a9220c756e58fe9174d578d8caa344c2a74",
-      "bytes": 151770,
-      "rows": 43,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000281-0000-083bec82715e8f33.parquet",
-      "sha256": "083bec82715e8f3371428f573fa2b252578290c40228391a40f9ab28629ccda0",
-      "bytes": 59309,
-      "rows": 7,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Decidable.mul_lt_mul''",
     "mathlib:add_le_mul_two_add",
@@ -3215,5 +3199,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Defs.lean\",null,null,\"mul_self_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Defs.lean\",null,null,\"pow_le_pow_of_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Defs.lean\",null,null,\"two_mul_le_add_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151770,
+      "path": "data/train/pe7/mathlib-000281-0000-2c6fb8852697eab4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "2c6fb8852697eab417a1504368b52a9220c756e58fe9174d578d8caa344c2a74"
+    },
+    {
+      "bytes": 59309,
+      "path": "data/internal_test/pe7/mathlib-000281-0000-083bec82715e8f33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "083bec82715e8f3371428f573fa2b252578290c40228391a40f9ab28629ccda0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000282.json b/manifests/batches/mathlib/000282.json
index 106f972189ad93198b6c21cf04aa82884f1ff056..ad38469e716c8a4acf3e2233cad23ace55da44c5 100644
--- a/manifests/batches/mathlib/000282.json
+++ b/manifests/batches/mathlib/000282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000282",
   "batch_fingerprint": "5d48f9f22727028e861b3cea627c594765d4a4d8fbeb65a86983067d15289a16",
   "evidence": {
@@ -161,22 +160,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000282-0000-a22f47ce2ee8e7f0.parquet",
-      "sha256": "a22f47ce2ee8e7f0ea42dde8d059a20744a69674658f7206629c63cf45c3f0af",
-      "bytes": 36080,
-      "rows": 6,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000282-0000-98a3282829cb3c68.parquet",
-      "sha256": "98a3282829cb3c6882c88008bb32a2d3ac6e18f8db67a1661b050a55f084e21a",
-      "bytes": 32706,
-      "rows": 1,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.isCompl_even_odd",
     "mathlib:Int.two_le_iff_pos_of_even",
@@ -194,5 +178,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Int.lean\",null,null,\"bit1_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Int.lean\",null,null,\"mul_bit0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Int.lean\",null,null,\"mul_bit1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 36080,
+      "path": "data/train/p08/mathlib-000282-0000-a22f47ce2ee8e7f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a22f47ce2ee8e7f0ea42dde8d059a20744a69674658f7206629c63cf45c3f0af"
+    },
+    {
+      "bytes": 32706,
+      "path": "data/internal_test/p08/mathlib-000282-0000-98a3282829cb3c68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "98a3282829cb3c6882c88008bb32a2d3ac6e18f8db67a1661b050a55f084e21a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000283.json b/manifests/batches/mathlib/000283.json
index 156bc103669c480ed6a9b6da4351074e9032fb9a..abe6e570985b729fbb6f0b841e2129a4a370e3fc 100644
--- a/manifests/batches/mathlib/000283.json
+++ b/manifests/batches/mathlib/000283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000283",
   "batch_fingerprint": "b9574041ebdddac7990ee44c60368e2b133c341df86591c39a9a87df1bc926ca",
   "evidence": {
@@ -176,19 +175,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000283-0000-ac4c6b7e29bb6334.parquet",
-      "sha256": "ac4c6b7e29bb6334f6c02b83ed32bfc46cddc2a65e792a192c23bf204cad6c72",
-      "bytes": 35052,
-      "rows": 1,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.isCompl_even_odd"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Nat.lean\",null,null,\"Nat.isCompl_even_odd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35052,
+      "path": "data/train/p72/mathlib-000283-0000-ac4c6b7e29bb6334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ac4c6b7e29bb6334f6c02b83ed32bfc46cddc2a65e792a192c23bf204cad6c72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000284.json b/manifests/batches/mathlib/000284.json
index ad9ffe2aa5f12277c16f7d72efb2a52a1ce666ec..a4cbfd0ab22080149306656dbbdea7492f3806fd 100644
--- a/manifests/batches/mathlib/000284.json
+++ b/manifests/batches/mathlib/000284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000284",
   "batch_fingerprint": "c49e7bc5992768c73359a489b2de94305b2a74087c1b710cbcf7610b6ede0af3",
   "evidence": {
@@ -960,15 +959,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000284-0000-12d73fc0714810c3.parquet",
-      "sha256": "12d73fc0714810c395979e07174341381a314ccf13bec8083b46d72f8dd65797",
-      "bytes": 66510,
-      "rows": 16,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Rat.add_le_add_left",
     "mathlib:Rat.divInt_le_divInt",
@@ -988,5 +979,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Rat.lean\",null,null,\"Rat.lt_one_iff_num_lt_denom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Rat.lean\",null,null,\"Rat.mul_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/Rat.lean\",null,null,\"Rat.num_nonpos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66510,
+      "path": "data/train/pe8/mathlib-000284-0000-12d73fc0714810c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "12d73fc0714810c395979e07174341381a314ccf13bec8083b46d72f8dd65797"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000285.json b/manifests/batches/mathlib/000285.json
index dd2310b7fb65f38677e2d935fc8ac46fad3cb8aa..2debbc7c72de255bb64ac5a7bf1e634fdf92cb5a 100644
--- a/manifests/batches/mathlib/000285.json
+++ b/manifests/batches/mathlib/000285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000285",
   "batch_fingerprint": "15e8a18c717ae21536b872ca4c3b9b195dedf442fbffb4a1003f1ce536f5a3d5",
   "evidence": {
@@ -737,22 +736,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000285-0000-c5cf1fb6c8039f99.parquet",
-      "sha256": "c5cf1fb6c8039f99a625823ac9d1e06ab908a33019de835a4c99520cc1856a37",
-      "bytes": 78720,
-      "rows": 23,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/mathlib-000285-0000-a2e2a339887c6d6d.parquet",
-      "sha256": "a2e2a339887c6d6d0cf875e0abd94854f72552e85b413d7f7761ce5ea26d8f7b",
-      "bytes": 39590,
-      "rows": 1,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddHom.le_map_tsub",
     "mathlib:WithBot.bot_mul",
@@ -788,5 +772,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Ring/WithTop.lean\",null,null,\"WithTop.top_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/Basic.lean\",null,null,\"AddHom.le_map_tsub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/Basic.lean\",null,null,\"le_tsub_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78720,
+      "path": "data/train/p4b/mathlib-000285-0000-c5cf1fb6c8039f99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c5cf1fb6c8039f99a625823ac9d1e06ab908a33019de835a4c99520cc1856a37"
+    },
+    {
+      "bytes": 39590,
+      "path": "data/dev/p4b/mathlib-000285-0000-a2e2a339887c6d6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a2e2a339887c6d6d0cf875e0abd94854f72552e85b413d7f7761ce5ea26d8f7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000286.json b/manifests/batches/mathlib/000286.json
index a7881984ec451ed68d5ad61b2f83acfef6cf3e86..95b92ed777a0f0576e6f17ad4056e6f22a4fa0e8 100644
--- a/manifests/batches/mathlib/000286.json
+++ b/manifests/batches/mathlib/000286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000286",
   "batch_fingerprint": "cf20952ff9d0ee9fef03ad3aa6fff3f613b172dd5ce24589266c9d8c4e345f03",
   "evidence": {
@@ -1988,29 +1987,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000286-0000-1a1e7ef46a0802c8.parquet",
-      "sha256": "1a1e7ef46a0802c8e7a575252c390b1d30653f563dfc630797a82b7be74fe520",
-      "bytes": 291912,
-      "rows": 98,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/mathlib-000286-0000-72f7f867a27fbcf0.parquet",
-      "sha256": "72f7f867a27fbcf0a1cfe30335bc32d66c3e73e74ca991c44cf8057537d19d1e",
-      "bytes": 56535,
-      "rows": 7,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000286-0000-b4567a39ed2121c3.parquet",
-      "sha256": "b4567a39ed2121c309421e2210dee423d94f300df5693d09443e60aca3e3b6a5",
-      "bytes": 57571,
-      "rows": 10,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddLECancellable.add_tsub_assoc_of_le",
     "mathlib:AddLECancellable.add_tsub_cancel_right",
@@ -2138,5 +2115,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/Defs.lean\",null,null,\"tsub_nonpos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/Defs.lean\",null,null,\"tsub_right_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/Defs.lean\",null,null,\"tsub_tsub_tsub_le_tsub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291912,
+      "path": "data/train/p20/mathlib-000286-0000-1a1e7ef46a0802c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 98,
+      "sha256": "1a1e7ef46a0802c8e7a575252c390b1d30653f563dfc630797a82b7be74fe520"
+    },
+    {
+      "bytes": 56535,
+      "path": "data/dev/p20/mathlib-000286-0000-72f7f867a27fbcf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "72f7f867a27fbcf0a1cfe30335bc32d66c3e73e74ca991c44cf8057537d19d1e"
+    },
+    {
+      "bytes": 57571,
+      "path": "data/internal_test/p20/mathlib-000286-0000-b4567a39ed2121c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b4567a39ed2121c309421e2210dee423d94f300df5693d09443e60aca3e3b6a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000287.json b/manifests/batches/mathlib/000287.json
index eadcfea788f227eea781baf01a6aea8adf1fe76d..459cc90aeb5c2b53b6686d1620b598a08bcd2552 100644
--- a/manifests/batches/mathlib/000287.json
+++ b/manifests/batches/mathlib/000287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000287",
   "batch_fingerprint": "9e0884f66c24f6c45b7274c3bd199093a50d69f31b1d33033049e80b7cae5da8",
   "evidence": {
@@ -151,15 +150,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000287-0000-f783bb33f6fd2a98.parquet",
-      "sha256": "f783bb33f6fd2a9815f4b0085316127cb04b36fa64412fbd9ec1b942760fdcca",
-      "bytes": 35058,
-      "rows": 2,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WithTop.sub_eq_top_iff",
     "mathlib:WithTop.sub_top"
@@ -167,5 +158,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/WithTop.lean\",null,null,\"WithTop.sub_eq_top_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/Sub/WithTop.lean\",null,null,\"WithTop.sub_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35058,
+      "path": "data/train/p27/mathlib-000287-0000-f783bb33f6fd2a98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f783bb33f6fd2a9815f4b0085316127cb04b36fa64412fbd9ec1b942760fdcca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000288.json b/manifests/batches/mathlib/000288.json
index 79b5ac69bd13412bac49f09f4c580695a363192f..ea02fb1b63bbf78ae84078a3307bba5e0c0ef1e0 100644
--- a/manifests/batches/mathlib/000288.json
+++ b/manifests/batches/mathlib/000288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000288",
   "batch_fingerprint": "361f83f99ba71c73415c5a5a40f79fa983ffcb39ffdad98ab6ff0c315744acb4",
   "evidence": {
@@ -2391,29 +2390,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000288-0000-53b583c4ff350de4.parquet",
-      "sha256": "53b583c4ff350de4d4c1991a0f1e52241c5804f4697c6065a731ca4a25014bd6",
-      "bytes": 473562,
-      "rows": 165,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/mathlib-000288-0000-e3332fd1f587ebf1.parquet",
-      "sha256": "e3332fd1f587ebf14f20202f23be7ac6155f819dc66045d2caba5d4260757ac6",
-      "bytes": 57358,
-      "rows": 10,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000288-0000-2c3dcb71c7b8e2ce.parquet",
-      "sha256": "2c3dcb71c7b8e2ce5534fe22a5c6b96b82e40206467cb40fea70a78a4d507d6b",
-      "bytes": 53884,
-      "rows": 10,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGroup.modEq_iff_toIcoDiv_eq_toIocDiv_add_one",
     "mathlib:AddCommGroup.modEq_iff_toIcoMod_eq_left",
@@ -2671,5 +2648,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/UpperLower.lean\",null,null,\"mul_upperClosure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/UpperLower.lean\",null,null,\"upperClosure_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Order/UpperLower.lean\",null,null,\"upperClosure_mul_distrib\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473562,
+      "path": "data/train/p1c/mathlib-000288-0000-53b583c4ff350de4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 165,
+      "sha256": "53b583c4ff350de4d4c1991a0f1e52241c5804f4697c6065a731ca4a25014bd6"
+    },
+    {
+      "bytes": 57358,
+      "path": "data/dev/p1c/mathlib-000288-0000-e3332fd1f587ebf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e3332fd1f587ebf14f20202f23be7ac6155f819dc66045d2caba5d4260757ac6"
+    },
+    {
+      "bytes": 53884,
+      "path": "data/internal_test/p1c/mathlib-000288-0000-2c3dcb71c7b8e2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2c3dcb71c7b8e2ce5534fe22a5c6b96b82e40206467cb40fea70a78a4d507d6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000289.json b/manifests/batches/mathlib/000289.json
index 6ebdbde7af4461cb8dfffbaccfc2095208d3794a..f5293e45f82877eabff592e6fc1020c0bdd24c72 100644
--- a/manifests/batches/mathlib/000289.json
+++ b/manifests/batches/mathlib/000289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000289",
   "batch_fingerprint": "1c5503f4a8110b7b6005367d2edefccfceb89806b997b30ac871d85ad7b646d3",
   "evidence": {
@@ -283,7 +282,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000290.json b/manifests/batches/mathlib/000290.json
index fbb5d10031305d9e65c092d5fdec742ccdf296f4..ef900471910bc5d5857469baf4130108ee8a4c20 100644
--- a/manifests/batches/mathlib/000290.json
+++ b/manifests/batches/mathlib/000290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000290",
   "batch_fingerprint": "7da22695caf9dd60dad316efdfe949b0bb4613351d7d79d8d54d2c52e9368552",
   "evidence": {
@@ -1630,29 +1629,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000290-0000-501f6adf2f462592.parquet",
-      "sha256": "501f6adf2f462592adafa51b1da062d068c600333fba1cf30f06faf0e1f1900c",
-      "bytes": 248826,
-      "rows": 78,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/mathlib-000290-0000-0ec000fc1a30b56b.parquet",
-      "sha256": "0ec000fc1a30b56b39640ba53f5c85cf97f33cfc334f11da99dc296008de7561",
-      "bytes": 52071,
-      "rows": 2,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000290-0000-da2e852e7a19f444.parquet",
-      "sha256": "da2e852e7a19f444f9d72a02a26125957973f3b5d7f40d2dcaa27d709280ff99",
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-      "rows": 17,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.periodic_prod",
     "mathlib:Function.Antiperiodic.add_const",
@@ -1810,5 +1787,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Pointwise/Stabilizer.lean\",null,null,\"MulAction.stabilizer_subgroup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Pointwise/Stabilizer.lean\",null,null,\"MulAction.stabilizer_subgroup_op\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Pointwise/Stabilizer.lean\",null,null,\"MulAction.stabilizer_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248826,
+      "path": "data/train/pd6/mathlib-000290-0000-501f6adf2f462592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 78,
+      "sha256": "501f6adf2f462592adafa51b1da062d068c600333fba1cf30f06faf0e1f1900c"
+    },
+    {
+      "bytes": 52071,
+      "path": "data/dev/pd6/mathlib-000290-0000-0ec000fc1a30b56b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ec000fc1a30b56b39640ba53f5c85cf97f33cfc334f11da99dc296008de7561"
+    },
+    {
+      "bytes": 72449,
+      "path": "data/internal_test/pd6/mathlib-000290-0000-da2e852e7a19f444.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "da2e852e7a19f444f9d72a02a26125957973f3b5d7f40d2dcaa27d709280ff99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000291.json b/manifests/batches/mathlib/000291.json
index 3ce09fc722a62d31d0f7529dabf33db2f4b1cc02..faebf8cbb52e30bcdfa3b1fd2033ee7d06466ee5 100644
--- a/manifests/batches/mathlib/000291.json
+++ b/manifests/batches/mathlib/000291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000291",
   "batch_fingerprint": "54963951d89ed41fc37efba3ef3629a04ab599bc0b734a52bdd376956c938a31",
   "evidence": {
@@ -3054,29 +3053,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000291-0000-ace878fa94e971d7.parquet",
-      "sha256": "ace878fa94e971d7fc5693947dfca6801ab5ef739fad2b63f6d8d94a9f7b948d",
-      "bytes": 487781,
-      "rows": 153,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/mathlib-000291-0000-1bd27768daa51b68.parquet",
-      "sha256": "1bd27768daa51b6838dc66d7c33040ab6c6b2d70c2c9e2a9923476441d56dafd",
-      "bytes": 62235,
-      "rows": 10,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000291-0000-b04b7b24fb58fb35.parquet",
-      "sha256": "b04b7b24fb58fb357e9fefd1f61c637101380b74434915bc227d133e33234f46",
-      "bytes": 98863,
-      "rows": 25,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.adjoin_singleton_eq_range_aeval",
     "mathlib:Polynomial.C_0",
@@ -3312,5 +3289,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Basic.lean\",null,null,\"Polynomial.toFinsupp_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Basic.lean\",null,null,\"Polynomial.toFinsupp_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Basic.lean\",null,null,\"Polynomial.update_zero_eq_erase\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487781,
+      "path": "data/train/paa/mathlib-000291-0000-ace878fa94e971d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 153,
+      "sha256": "ace878fa94e971d7fc5693947dfca6801ab5ef739fad2b63f6d8d94a9f7b948d"
+    },
+    {
+      "bytes": 62235,
+      "path": "data/dev/paa/mathlib-000291-0000-1bd27768daa51b68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1bd27768daa51b6838dc66d7c33040ab6c6b2d70c2c9e2a9923476441d56dafd"
+    },
+    {
+      "bytes": 98863,
+      "path": "data/internal_test/paa/mathlib-000291-0000-b04b7b24fb58fb35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b04b7b24fb58fb357e9fefd1f61c637101380b74434915bc227d133e33234f46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000292.json b/manifests/batches/mathlib/000292.json
index 3c12a3aba8de1f2e0c2aa56f2b0fdae9070707ab..4f671c986941d479db517121773deb32ac88849a 100644
--- a/manifests/batches/mathlib/000292.json
+++ b/manifests/batches/mathlib/000292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000292",
   "batch_fingerprint": "5aa5580e3d60d46e2f1a56aa8e2bad7c7e68fc8d010d3cdb34e7843d8a8ac7aa",
   "evidence": {
@@ -1371,29 +1370,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000292-0000-001995e272dead13.parquet",
-      "sha256": "001995e272dead131b310aed06a9cf4d5e51a9027a5bea14135a72ae183b5ac0",
-      "bytes": 80528,
-      "rows": 30,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/mathlib-000292-0000-9be969f54aba87e6.parquet",
-      "sha256": "9be969f54aba87e65faa671bf28c530f6047b95871302720fd4eba523f5e35b3",
-      "bytes": 40053,
-      "rows": 1,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000292-0000-46708c841b48c321.parquet",
-      "sha256": "46708c841b48c321fb3b18533cd9d5035425c539ed3b0040b00bc1762a8c682c",
-      "bytes": 40096,
-      "rows": 4,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AdjoinRoot.evalEval_mk",
     "mathlib:Polynomial.coeff_multiset_prod_of_natDegree_le",
@@ -1445,5 +1422,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Bivariate.lean\",null,null,\"Polynomial.map_mapRingHom_evalEval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Bivariate.lean\",null,null,\"Polynomial.map_mapRingHom_eval_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Bivariate.lean\",null,null,\"Polynomial.map_mapRingHom_eval_map_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80528,
+      "path": "data/train/p2b/mathlib-000292-0000-001995e272dead13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "001995e272dead131b310aed06a9cf4d5e51a9027a5bea14135a72ae183b5ac0"
+    },
+    {
+      "bytes": 40053,
+      "path": "data/dev/p2b/mathlib-000292-0000-9be969f54aba87e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9be969f54aba87e65faa671bf28c530f6047b95871302720fd4eba523f5e35b3"
+    },
+    {
+      "bytes": 40096,
+      "path": "data/internal_test/p2b/mathlib-000292-0000-46708c841b48c321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "46708c841b48c321fb3b18533cd9d5035425c539ed3b0040b00bc1762a8c682c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000293.json b/manifests/batches/mathlib/000293.json
index c5bb7e0c6637ca9685e55d28e7608ca9d14abbc4..b831576736d8555809522eb98db9410d46d3c6a0 100644
--- a/manifests/batches/mathlib/000293.json
+++ b/manifests/batches/mathlib/000293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000293",
   "batch_fingerprint": "01f5cb4ad1e9dd574acd2299e39d9a991dc953c6154d6a62cdbc158e74ea2699",
   "evidence": {
@@ -288,19 +287,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000293-0000-eb48f5b33fe84d3f.parquet",
-      "sha256": "eb48f5b33fe84d3f392a4a6cb300b5a6272e4579f3cc5eeccfc3aa93e8bd7bd6",
-      "bytes": 38880,
-      "rows": 2,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.cardinal_mk_eq_max"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Cardinal.lean\",null,null,\"Polynomial.cardinal_mk_eq_max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38880,
+      "path": "data/train/p39/mathlib-000293-0000-eb48f5b33fe84d3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eb48f5b33fe84d3f392a4a6cb300b5a6272e4579f3cc5eeccfc3aa93e8bd7bd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000294.json b/manifests/batches/mathlib/000294.json
index b02f25f54114d123a63bb37e5fddc853c15b53e0..6ffe967bd259660f69984701e8f3b023e6130eee 100644
--- a/manifests/batches/mathlib/000294.json
+++ b/manifests/batches/mathlib/000294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000294",
   "batch_fingerprint": "1bc415fff90e4cc90688973e6117e22098c08a2ebc2198704b93b72eb26cc86b",
   "evidence": {
@@ -1119,29 +1118,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000294-0000-40a2d91113bab5bb.parquet",
-      "sha256": "40a2d91113bab5bb105a1f908cf8e4fbf38303ebf12eb8dee45002980e75ddb9",
-      "bytes": 190727,
-      "rows": 55,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/mathlib-000294-0000-2b82b2354241c5cb.parquet",
-      "sha256": "2b82b2354241c5cbc9ce41b4951722915e6012ce534f0087af283f5db4b637f3",
-      "bytes": 26185,
-      "rows": 1,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000294-0000-62f4018640d6b789.parquet",
-      "sha256": "62f4018640d6b789a0e1642f5d4c6c92242cfe81787ac9b85658b50629c00009",
-      "bytes": 37200,
-      "rows": 1,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.C_mul'",
     "mathlib:Polynomial.cardPowDegree_apply",
@@ -1209,5 +1186,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Coeff.lean\",null,null,\"Polynomial.support_trinomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Coeff.lean\",null,null,\"Polynomial.update_eq_add_sub_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Degree/CardPowDegree.lean\",null,null,\"Polynomial.cardPowDegree_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190727,
+      "path": "data/train/p3a/mathlib-000294-0000-40a2d91113bab5bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "40a2d91113bab5bb105a1f908cf8e4fbf38303ebf12eb8dee45002980e75ddb9"
+    },
+    {
+      "bytes": 26185,
+      "path": "data/dev/p3a/mathlib-000294-0000-2b82b2354241c5cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2b82b2354241c5cbc9ce41b4951722915e6012ce534f0087af283f5db4b637f3"
+    },
+    {
+      "bytes": 37200,
+      "path": "data/internal_test/p3a/mathlib-000294-0000-62f4018640d6b789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "62f4018640d6b789a0e1642f5d4c6c92242cfe81787ac9b85658b50629c00009"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000295.json b/manifests/batches/mathlib/000295.json
index adc7684a3a50a20de6877464616dca96ba9774c5..24af9de3c4d21514df41975ec63337ae7f5bb2c0 100644
--- a/manifests/batches/mathlib/000295.json
+++ b/manifests/batches/mathlib/000295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000295",
   "batch_fingerprint": "25b622ebe8ebaf644b6f24ac564f21dedb30d0dd78beba9f8d8b88ae1f6a192f",
   "evidence": {
@@ -7102,29 +7101,7 @@
     "validation_rejected_proofs": 29,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000295-0000-3bbdffc7cb97e232.parquet",
-      "sha256": "3bbdffc7cb97e232a786db16af78951594fdd6cf6ae60c24b8bf62db17bd8e81",
-      "bytes": 516019,
-      "rows": 176,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/mathlib-000295-0000-594866f025f47b03.parquet",
-      "sha256": "594866f025f47b034e440f9da079918566657ee0198b0ffba2c2d01c710fffac",
-      "bytes": 66235,
-      "rows": 17,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000295-0000-75a3e2f220798a24.parquet",
-      "sha256": "75a3e2f220798a24ac1c557c85b2530d6b1eb8b36b8435f16e30b7d222fef0bd",
-      "bytes": 77341,
-      "rows": 21,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.C_mul_X_pow_eq_self",
     "mathlib:Polynomial.Monic.eq_X_add_C",
@@ -7404,5 +7381,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Degree/Lemmas.lean\",null,null,\"Polynomial.natDegree_sub_le_iff_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Degree/Lemmas.lean\",null,null,\"Polynomial.natDegree_sub_le_iff_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Degree/Lemmas.lean\",null,null,\"Polynomial.nextCoeff_C_mul_X_add_C\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 516019,
+      "path": "data/train/p66/mathlib-000295-0000-3bbdffc7cb97e232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 176,
+      "sha256": "3bbdffc7cb97e232a786db16af78951594fdd6cf6ae60c24b8bf62db17bd8e81"
+    },
+    {
+      "bytes": 66235,
+      "path": "data/dev/p66/mathlib-000295-0000-594866f025f47b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "594866f025f47b034e440f9da079918566657ee0198b0ffba2c2d01c710fffac"
+    },
+    {
+      "bytes": 77341,
+      "path": "data/internal_test/p66/mathlib-000295-0000-75a3e2f220798a24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "75a3e2f220798a24ac1c557c85b2530d6b1eb8b36b8435f16e30b7d222fef0bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000296.json b/manifests/batches/mathlib/000296.json
index 7168a96f216229ac4d4dd803aec7cc4a51098ade..448d998d06a9277923f544a42d29667184c2f004 100644
--- a/manifests/batches/mathlib/000296.json
+++ b/manifests/batches/mathlib/000296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000296",
   "batch_fingerprint": "e4a84f19ab7271ed26d5d578be71f02055fcceee00c0f683688614afbc4ea376",
   "evidence": {
@@ -1623,22 +1622,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000296-0000-5e5d4c9eb83fbb28.parquet",
-      "sha256": "5e5d4c9eb83fbb282a208ed10fa3e7336a4d52b8c3ffaaaae199f923a73c784c",
-      "bytes": 139638,
-      "rows": 42,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000296-0000-5fd11fa0a6101bf8.parquet",
-      "sha256": "5fd11fa0a6101bf817fbccb2be1eb4ce5d557c17b449dbc5a2b4f1ceab4d345a",
-      "bytes": 45330,
-      "rows": 9,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DenomsClearable.add",
     "mathlib:Polynomial.le_natTrailingDegree",
@@ -1706,5 +1690,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/DenomsClearable.lean\",null,null,\"DenomsClearable.add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/DenomsClearable.lean\",null,null,\"denomsClearable_C_mul_X_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/DenomsClearable.lean\",null,null,\"denomsClearable_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139638,
+      "path": "data/train/p07/mathlib-000296-0000-5e5d4c9eb83fbb28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "5e5d4c9eb83fbb282a208ed10fa3e7336a4d52b8c3ffaaaae199f923a73c784c"
+    },
+    {
+      "bytes": 45330,
+      "path": "data/internal_test/p07/mathlib-000296-0000-5fd11fa0a6101bf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5fd11fa0a6101bf817fbccb2be1eb4ce5d557c17b449dbc5a2b4f1ceab4d345a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000297.json b/manifests/batches/mathlib/000297.json
index 6f8653f696410b7b486cc22b6696b78814c99d74..5e8c7ced5c08b09f804bf951638f25ccba610c82 100644
--- a/manifests/batches/mathlib/000297.json
+++ b/manifests/batches/mathlib/000297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000297",
   "batch_fingerprint": "1b19e803693c80f664f55d5297bfe8aa7c0b92f656b4efb0efe97c638edded28",
   "evidence": {
@@ -2397,29 +2396,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000297-0000-8ccff99f5aadb719.parquet",
-      "sha256": "8ccff99f5aadb7192279b2afc13f014e6f5af4d2fbc367326640740c67d685e8",
-      "bytes": 200753,
-      "rows": 47,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/mathlib-000297-0000-61383b37e037a34d.parquet",
-      "sha256": "61383b37e037a34dad45355491e045c9599d4a7dec38099a2bfba05d585fa070",
-      "bytes": 30618,
-      "rows": 2,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000297-0000-16c575ce79251786.parquet",
-      "sha256": "16c575ce7925178699c329013905d41e1e6348c15481101400cb776cb4636c53",
-      "bytes": 54810,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Derivation.compAEval_eq",
     "mathlib:Derivation.comp_aeval_eq",
@@ -2503,5 +2480,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Derivative.lean\",null,null,\"Polynomial.iterate_derivative_natCast_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Derivative.lean\",null,null,\"Polynomial.of_mem_support_derivative\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Derivative.lean\",null,null,\"Polynomial.pow_sub_one_dvd_derivative_of_pow_dvd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200753,
+      "path": "data/train/p59/mathlib-000297-0000-8ccff99f5aadb719.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "8ccff99f5aadb7192279b2afc13f014e6f5af4d2fbc367326640740c67d685e8"
+    },
+    {
+      "bytes": 30618,
+      "path": "data/dev/p59/mathlib-000297-0000-61383b37e037a34d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "61383b37e037a34dad45355491e045c9599d4a7dec38099a2bfba05d585fa070"
+    },
+    {
+      "bytes": 54810,
+      "path": "data/internal_test/p59/mathlib-000297-0000-16c575ce79251786.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "16c575ce7925178699c329013905d41e1e6348c15481101400cb776cb4636c53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000298.json b/manifests/batches/mathlib/000298.json
index 6de93884f8e2979f2ffb7e3c6e6aae435928d330..274b0ae4919df4aa2e7e9bc8aecef4d9dbeeab22 100644
--- a/manifests/batches/mathlib/000298.json
+++ b/manifests/batches/mathlib/000298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000298",
   "batch_fingerprint": "3cf44cc8a50ae6ae9d6e812f4791630ca8e543d5a73191bcac6376e13cedccac",
   "evidence": {
@@ -5418,22 +5417,7 @@
     "validation_rejected_proofs": 20,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000298-0000-c12c379a3fb433d6.parquet",
-      "sha256": "c12c379a3fb433d6296c3dcf8fe32f85b518ef04dacf18efb5aa2c7c29f205c4",
-      "bytes": 165370,
-      "rows": 54,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000298-0000-b3002f515e459170.parquet",
-      "sha256": "b3002f515e459170cdeb118dd5f2e67e7231242c043a2bb8428221aa04733398",
-      "bytes": 46894,
-      "rows": 2,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.X_dvd_sub_C",
     "mathlib:Polynomial.X_sub_C_dvd_sub_C_eval",
@@ -5503,5 +5487,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/EraseLead.lean\",null,null,\"Polynomial.natDegree_pos_of_eraseLead_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/EraseLead.lean\",null,null,\"Polynomial.nextCoeff_eq_zero_of_eraseLead_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/EraseLead.lean\",null,null,\"Polynomial.self_sub_C_mul_X_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165370,
+      "path": "data/train/p86/mathlib-000298-0000-c12c379a3fb433d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "c12c379a3fb433d6296c3dcf8fe32f85b518ef04dacf18efb5aa2c7c29f205c4"
+    },
+    {
+      "bytes": 46894,
+      "path": "data/internal_test/p86/mathlib-000298-0000-b3002f515e459170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b3002f515e459170cdeb118dd5f2e67e7231242c043a2bb8428221aa04733398"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000299.json b/manifests/batches/mathlib/000299.json
index 305093f04d6a463179a97ee9b0dcfff2fc904d40..cbf4cd97313f8245a3e88f0c3a6f344cb8d49ec0 100644
--- a/manifests/batches/mathlib/000299.json
+++ b/manifests/batches/mathlib/000299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000299",
   "batch_fingerprint": "0f704cca52b11d6c69d53f811ccdfdf05545b56d259e69b0befa5ba0f657ca56",
   "evidence": {
@@ -4594,29 +4593,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000299-0000-a452960db5000ff7.parquet",
-      "sha256": "a452960db5000ff7f7aad87c30b6e08e57f28f515192884bd53d3a7703b1759b",
-      "bytes": 390372,
-      "rows": 119,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/mathlib-000299-0000-dcced3f352f66e15.parquet",
-      "sha256": "dcced3f352f66e15b810e3c3a9bcd7ac993189e7f907a04900072f59387b31cc",
-      "bytes": 65177,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/mathlib-000299-0000-754d939053ee9868.parquet",
-      "sha256": "754d939053ee98680bd16018bb122a22ef92d3b08044edf23acbba569abb1dcd",
-      "bytes": 66486,
-      "rows": 13,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.IsRoot.dvd",
     "mathlib:Polynomial.IsRoot.map",
@@ -4802,5 +4779,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Expand.lean\",null,null,\"Polynomial.leadingCoeff_expand\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Expand.lean\",null,null,\"Polynomial.map_contract\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Expand.lean\",null,null,\"Polynomial.monic_expand_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390372,
+      "path": "data/train/p69/mathlib-000299-0000-a452960db5000ff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "a452960db5000ff7f7aad87c30b6e08e57f28f515192884bd53d3a7703b1759b"
+    },
+    {
+      "bytes": 65177,
+      "path": "data/dev/p69/mathlib-000299-0000-dcced3f352f66e15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dcced3f352f66e15b810e3c3a9bcd7ac993189e7f907a04900072f59387b31cc"
+    },
+    {
+      "bytes": 66486,
+      "path": "data/internal_test/p69/mathlib-000299-0000-754d939053ee9868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "754d939053ee98680bd16018bb122a22ef92d3b08044edf23acbba569abb1dcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000300.json b/manifests/batches/mathlib/000300.json
index fb218f888be12d12ef3a038044db307bcacd0c29..507d60e02838ac3574f3417ffbacf840f55196e2 100644
--- a/manifests/batches/mathlib/000300.json
+++ b/manifests/batches/mathlib/000300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000300",
   "batch_fingerprint": "907903eed44ddbf90c21026aa6a4240b4635728373516421fd85c87eb41096f3",
   "evidence": {
@@ -2655,29 +2654,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000300-0000-5d34ba545f496e51.parquet",
-      "sha256": "5d34ba545f496e51d11b198e010c546bbf8084b86347afae6443604cfd933d7b",
-      "bytes": 204200,
-      "rows": 45,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/mathlib-000300-0000-03a696c379428354.parquet",
-      "sha256": "03a696c379428354c461026d985a543dacbee43c7b76bc771aa9fdee51539af7",
-      "bytes": 57985,
-      "rows": 5,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000300-0000-5cbabb510d03f580.parquet",
-      "sha256": "5cbabb510d03f5808d8840c0f61f6f12e09cee07e518e19de25f66acf489672a",
-      "bytes": 54670,
-      "rows": 5,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.C_mul_dvd",
     "mathlib:Polynomial.Monic.normalize_eq_self",
@@ -2749,5 +2726,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/GroupRingAction.lean\",null,null,\"Polynomial.smul_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/GroupRingAction.lean\",null,null,\"prodXSubSMul.coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/GroupRingAction.lean\",null,null,\"prodXSubSMul.eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204200,
+      "path": "data/train/pe2/mathlib-000300-0000-5d34ba545f496e51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "5d34ba545f496e51d11b198e010c546bbf8084b86347afae6443604cfd933d7b"
+    },
+    {
+      "bytes": 57985,
+      "path": "data/dev/pe2/mathlib-000300-0000-03a696c379428354.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "03a696c379428354c461026d985a543dacbee43c7b76bc771aa9fdee51539af7"
+    },
+    {
+      "bytes": 54670,
+      "path": "data/internal_test/pe2/mathlib-000300-0000-5cbabb510d03f580.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5cbabb510d03f5808d8840c0f61f6f12e09cee07e518e19de25f66acf489672a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000301.json b/manifests/batches/mathlib/000301.json
index 28a16f5aadaa910867d74832ddeb1e052bf26343..ffc3de040c0b15c2acebcb8ed7534ad4b4a3319b 100644
--- a/manifests/batches/mathlib/000301.json
+++ b/manifests/batches/mathlib/000301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000301",
   "batch_fingerprint": "b00c25fe89818f8138a970241f9c7e13d3933f9a82df5b2f774aef436f898dc1",
   "evidence": {
@@ -1277,22 +1276,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000301-0000-3ad0b0e7085547bf.parquet",
-      "sha256": "3ad0b0e7085547bfa2b7d9231f2a7d8cc8e79984c7136b96696b2d6f58478c28",
-      "bytes": 74048,
-      "rows": 12,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000301-0000-0ba511e6ba6650d4.parquet",
-      "sha256": "0ba511e6ba6650d42668f50e22cc8bd74fe9b40bb6d4de481ca2ffed6baeb4ef",
-      "bytes": 34023,
-      "rows": 2,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.hasseDeriv_C",
     "mathlib:Polynomial.hasseDeriv_X",
@@ -1312,5 +1296,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/HasseDeriv.lean\",null,null,\"Polynomial.hasseDeriv_zero'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Identities.lean\",null,null,\"Polynomial.poly_binom_aux2\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Identities.lean\",null,null,\"Polynomial.poly_binom_aux3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74048,
+      "path": "data/train/pb7/mathlib-000301-0000-3ad0b0e7085547bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3ad0b0e7085547bfa2b7d9231f2a7d8cc8e79984c7136b96696b2d6f58478c28"
+    },
+    {
+      "bytes": 34023,
+      "path": "data/internal_test/pb7/mathlib-000301-0000-0ba511e6ba6650d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ba511e6ba6650d42668f50e22cc8bd74fe9b40bb6d4de481ca2ffed6baeb4ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000302.json b/manifests/batches/mathlib/000302.json
index b87cdcee70fdbb254b992325384bb901cfc0e1e0..a898d4fd47a858ab0875ebdb1b90e33f72f8eb2c 100644
--- a/manifests/batches/mathlib/000302.json
+++ b/manifests/batches/mathlib/000302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000302",
   "batch_fingerprint": "7c0b9313ac691b77cc0efae6da700044c3fd4b2a80221b035b5c05a138d81d8d",
   "evidence": {
@@ -1069,15 +1068,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000302-0000-c1219b65edc7ab0f.parquet",
-      "sha256": "c1219b65edc7ab0f88c4d14e8923e6d8caf37bf73f4fc7759553d3af6e1fef54",
-      "bytes": 69175,
-      "rows": 15,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.X_mul_divX_add",
     "mathlib:Polynomial.coeff_divX",
@@ -1099,5 +1090,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Inductions.lean\",null,null,\"Polynomial.divX_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Inductions.lean\",null,null,\"Polynomial.divX_mul_X_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Inductions.lean\",null,null,\"Polynomial.divX_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69175,
+      "path": "data/train/p27/mathlib-000302-0000-c1219b65edc7ab0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c1219b65edc7ab0f88c4d14e8923e6d8caf37bf73f4fc7759553d3af6e1fef54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000303.json b/manifests/batches/mathlib/000303.json
index f3a0937f2d444c695ec181cf1db9af127c8acd36..2edbf6ef09c824d08168becad58343907fdab203 100644
--- a/manifests/batches/mathlib/000303.json
+++ b/manifests/batches/mathlib/000303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000303",
   "batch_fingerprint": "88e9bbdef9787699099a6e20baaf743d8cc001def2c86fd0843466c4e5d40e1b",
   "evidence": {
@@ -2705,29 +2704,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000303-0000-f10cdbf471460c75.parquet",
-      "sha256": "f10cdbf471460c754c3c4dc6dfe310624542e6ca8892a0cba46b63b8a1a0ba58",
-      "bytes": 160012,
-      "rows": 54,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/mathlib-000303-0000-fd9671d3d302de28.parquet",
-      "sha256": "fd9671d3d302de28f659d22fb45ebf44f3260a6cfee56e24a4f82cb1c0a63437",
-      "bytes": 48739,
-      "rows": 2,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000303-0000-7cdec814b3b8469e.parquet",
-      "sha256": "7cdec814b3b8469e9e1987286c41d3cee09ee817f06c2c6399d895bc9f5ade9f",
-      "bytes": 54997,
-      "rows": 4,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LaurentPolynomial.C_apply",
     "mathlib:LaurentPolynomial.T_add",
@@ -2805,5 +2782,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Lifts.lean\",null,null,\"Polynomial.mem_lifts_iff_mem_alg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Lifts.lean\",null,null,\"Polynomial.monomial_mem_lifts\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Lifts.lean\",null,null,\"Polynomial.smul_mem_lifts\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160012,
+      "path": "data/train/pda/mathlib-000303-0000-f10cdbf471460c75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "f10cdbf471460c754c3c4dc6dfe310624542e6ca8892a0cba46b63b8a1a0ba58"
+    },
+    {
+      "bytes": 48739,
+      "path": "data/dev/pda/mathlib-000303-0000-fd9671d3d302de28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fd9671d3d302de28f659d22fb45ebf44f3260a6cfee56e24a4f82cb1c0a63437"
+    },
+    {
+      "bytes": 54997,
+      "path": "data/internal_test/pda/mathlib-000303-0000-7cdec814b3b8469e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7cdec814b3b8469e9e1987286c41d3cee09ee817f06c2c6399d895bc9f5ade9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000304.json b/manifests/batches/mathlib/000304.json
index 6005c1fccaa323b733262a17eb8183ec8c0c2fc9..9f0f6c51e6501587209a15003002fc5cc97f1582 100644
--- a/manifests/batches/mathlib/000304.json
+++ b/manifests/batches/mathlib/000304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000304",
   "batch_fingerprint": "48200331a3edd60d2022e61cb48335f50c1d0f6af90ec7942086296803a2a2f3",
   "evidence": {
@@ -1439,29 +1438,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000304-0000-0dd0e432fa249e24.parquet",
-      "sha256": "0dd0e432fa249e2457f52f4e8f0967836d8142b2d4e3b9723f80efc2fb6bf5f3",
-      "bytes": 77160,
-      "rows": 12,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/mathlib-000304-0000-465339da892284a6.parquet",
-      "sha256": "465339da892284a6133ff1ee8cf3662f02b00dc6c393d1f725d3ca988c3ed86d",
-      "bytes": 41604,
-      "rows": 1,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000304-0000-1a8e4575a50b4739.parquet",
-      "sha256": "1a8e4575a50b47398d5767337d28b1beb1fd51b3580748a232ee6b7bfc21c91e",
-      "bytes": 32087,
-      "rows": 1,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Module.AEval.C_smul",
     "mathlib:Module.AEval.X_smul_of",
@@ -1487,5 +1464,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/AEval.lean\",null,null,\"Module.AEval.comapSubmodule_mapSubmodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/AEval.lean\",null,null,\"Module.AEval.mapSubmodule_comapSubmodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/AEval.lean\",null,null,\"Module.AEval.of_symm_X_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77160,
+      "path": "data/train/p1a/mathlib-000304-0000-0dd0e432fa249e24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0dd0e432fa249e2457f52f4e8f0967836d8142b2d4e3b9723f80efc2fb6bf5f3"
+    },
+    {
+      "bytes": 41604,
+      "path": "data/dev/p1a/mathlib-000304-0000-465339da892284a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "465339da892284a6133ff1ee8cf3662f02b00dc6c393d1f725d3ca988c3ed86d"
+    },
+    {
+      "bytes": 32087,
+      "path": "data/internal_test/p1a/mathlib-000304-0000-1a8e4575a50b4739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1a8e4575a50b47398d5767337d28b1beb1fd51b3580748a232ee6b7bfc21c91e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000305.json b/manifests/batches/mathlib/000305.json
index 92ed2e9a9e687ec5c818f093ecc917f76b18bacc..4228362599c4a23ea66d1e592f957a1d186f0414 100644
--- a/manifests/batches/mathlib/000305.json
+++ b/manifests/batches/mathlib/000305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000305",
   "batch_fingerprint": "e287429735eddda2cefde06a15e2674209922e4525a9dc1fbafca0dc84aa6b1d",
   "evidence": {
@@ -1175,15 +1174,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000305-0000-f6bae479a3f1fa6e.parquet",
-      "sha256": "f6bae479a3f1fa6eb576b3e814989a76a6028fb0039ad28e07bc0aaa1ecdae47",
-      "bytes": 84596,
-      "rows": 6,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PolynomialModule.comp_single",
     "mathlib:PolynomialModule.comp_smul",
@@ -1193,5 +1184,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/Basic.lean\",null,null,\"PolynomialModule.comp_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/Basic.lean\",null,null,\"PolynomialModule.comp_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Module/Basic.lean\",null,null,\"PolynomialModule.smul_def\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84596,
+      "path": "data/train/pab/mathlib-000305-0000-f6bae479a3f1fa6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f6bae479a3f1fa6eb576b3e814989a76a6028fb0039ad28e07bc0aaa1ecdae47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000306.json b/manifests/batches/mathlib/000306.json
index a0161028d36cbb74fa1660866298ab96f051b636..71391b8023139f3afe8d877fc49dde52a26eec8a 100644
--- a/manifests/batches/mathlib/000306.json
+++ b/manifests/batches/mathlib/000306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000306",
   "batch_fingerprint": "74a2ac45df460d5651e24c79a3706a73deb2472ac867d478b6abe8ebdad09190",
   "evidence": {
@@ -2232,22 +2231,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000306-0000-da0a07906e2977b4.parquet",
-      "sha256": "da0a07906e2977b4cc1bad2de37822e4781ec6112c69c3331403f23f66f13bde",
-      "bytes": 155963,
-      "rows": 58,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000306-0000-8e887867940f85b7.parquet",
-      "sha256": "8e887867940f85b788ffa4b85fc586d57f7e78e7ea79d86cd3b274e5bf4f910d",
-      "bytes": 60496,
-      "rows": 14,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.Monic.add_of_left",
     "mathlib:Polynomial.Monic.add_of_right",
@@ -2317,5 +2301,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Monic.lean\",null,null,\"Polynomial.ne_zero_of_ne_zero_of_monic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Monic.lean\",null,null,\"Polynomial.nextCoeff_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Monomial.lean\",null,null,\"Polynomial.monomial_one_eq_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155963,
+      "path": "data/train/p62/mathlib-000306-0000-da0a07906e2977b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "da0a07906e2977b4cc1bad2de37822e4781ec6112c69c3331403f23f66f13bde"
+    },
+    {
+      "bytes": 60496,
+      "path": "data/internal_test/p62/mathlib-000306-0000-8e887867940f85b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8e887867940f85b788ffa4b85fc586d57f7e78e7ea79d86cd3b274e5bf4f910d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000307.json b/manifests/batches/mathlib/000307.json
index a7f08d74134ce964e1e5cf342275628cb81621f2..7ef1581d2e58465cbfe5cc07c3a8342b61bcd386 100644
--- a/manifests/batches/mathlib/000307.json
+++ b/manifests/batches/mathlib/000307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000307",
   "batch_fingerprint": "31ab035adc27f48c7c7b4458133404f33aa0f1a341e85aba660e935e4de2c6d9",
   "evidence": {
@@ -1741,29 +1740,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000307-0000-ca4c65ec3953e0ff.parquet",
-      "sha256": "ca4c65ec3953e0ffb8894c6f4cc6649b3d5896a05884d5163f0e983c5cc2d169",
-      "bytes": 51427,
-      "rows": 16,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/mathlib-000307-0000-e5c99bbc56d97fb9.parquet",
-      "sha256": "e5c99bbc56d97fb974e9dc9bbb7bc923766d62b002a47cdcae2c22d2ca0dbf31",
-      "bytes": 54549,
-      "rows": 12,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000307-0000-dc93a0836eb419d9.parquet",
-      "sha256": "dc93a0836eb419d9220657f7369efa1ff10286be130c39a98b0bc7880d2009a6",
-      "bytes": 40055,
-      "rows": 8,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.coeff_reverse",
     "mathlib:Polynomial.coeff_zero_reverse",
@@ -1819,5 +1796,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Reverse.lean\",null,null,\"Polynomial.reverse_natDegree_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Reverse.lean\",null,null,\"Polynomial.reverse_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Reverse.lean\",null,null,\"Polynomial.reverse_trailingCoeff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51427,
+      "path": "data/train/p75/mathlib-000307-0000-ca4c65ec3953e0ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ca4c65ec3953e0ffb8894c6f4cc6649b3d5896a05884d5163f0e983c5cc2d169"
+    },
+    {
+      "bytes": 54549,
+      "path": "data/dev/p75/mathlib-000307-0000-e5c99bbc56d97fb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e5c99bbc56d97fb974e9dc9bbb7bc923766d62b002a47cdcae2c22d2ca0dbf31"
+    },
+    {
+      "bytes": 40055,
+      "path": "data/internal_test/p75/mathlib-000307-0000-dc93a0836eb419d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "dc93a0836eb419d9220657f7369efa1ff10286be130c39a98b0bc7880d2009a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000308.json b/manifests/batches/mathlib/000308.json
index 4cb85f986b600fa9ee164e88e1bd69fe325a9162..c544e01353679ec324b4005824505f308e1b1ffa 100644
--- a/manifests/batches/mathlib/000308.json
+++ b/manifests/batches/mathlib/000308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000308",
   "batch_fingerprint": "156c15ef89bff8c89fd1e1e6d09e4020bb132ed04395b7e6384c490a2a9e6306",
   "evidence": {
@@ -5998,29 +5997,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000308-0000-e0e52e9651616e42.parquet",
-      "sha256": "e0e52e9651616e42889baf4468e8d27f9cb1432717e22f4af0608b59d19a12c1",
-      "bytes": 500035,
-      "rows": 139,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/mathlib-000308-0000-cdf2df0ab7aa974b.parquet",
-      "sha256": "cdf2df0ab7aa974b2544e9ff4e907abacdd3a560bfd9b3dea6a05fcea9b96e27",
-      "bytes": 50665,
-      "rows": 3,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000308-0000-c68dd2280739948b.parquet",
-      "sha256": "c68dd2280739948b5bd2ea266bcb6fae653d9d4600c4699773a4b2e9a2c49709",
-      "bytes": 86306,
-      "rows": 16,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.Monic.comp",
     "mathlib:Polynomial.Monic.comp_X_sub_C",
@@ -6192,5 +6169,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Roots.lean\",null,null,\"Polynomial.roots_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Roots.lean\",null,null,\"Polynomial.roots_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Roots.lean\",null,null,\"Polynomial.roots_smul_nonzero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 500035,
+      "path": "data/train/p89/mathlib-000308-0000-e0e52e9651616e42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 139,
+      "sha256": "e0e52e9651616e42889baf4468e8d27f9cb1432717e22f4af0608b59d19a12c1"
+    },
+    {
+      "bytes": 50665,
+      "path": "data/dev/p89/mathlib-000308-0000-cdf2df0ab7aa974b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cdf2df0ab7aa974b2544e9ff4e907abacdd3a560bfd9b3dea6a05fcea9b96e27"
+    },
+    {
+      "bytes": 86306,
+      "path": "data/internal_test/p89/mathlib-000308-0000-c68dd2280739948b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c68dd2280739948b5bd2ea266bcb6fae653d9d4600c4699773a4b2e9a2c49709"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000309.json b/manifests/batches/mathlib/000309.json
index e0c40317e9c53f328518a4d6d95a28d5ae3c7727..da8df0bc0b4e6d6b9bdf499bf392298ad0411d8a 100644
--- a/manifests/batches/mathlib/000309.json
+++ b/manifests/batches/mathlib/000309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000309",
   "batch_fingerprint": "78a9658383a58217b8070b68bfb164767d519654087e3395433bebf9702a8eb1",
   "evidence": {
@@ -1024,29 +1023,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000309-0000-f888dbf7174114d2.parquet",
-      "sha256": "f888dbf7174114d202f1feb8fdc466f20c7fe5f2158cc342d24338da625881ab",
-      "bytes": 86770,
-      "rows": 19,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/mathlib-000309-0000-037b19d64079ca46.parquet",
-      "sha256": "037b19d64079ca4629ff2fb9170dd449b8e6a1141a1018c455621351bbea75f7",
-      "bytes": 56669,
-      "rows": 4,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000309-0000-b8d16aa696d40ba9.parquet",
-      "sha256": "b8d16aa696d40ba98368f4eed87e0ba9f0d8449e58e80fc5a900000397c5794c",
-      "bytes": 41045,
-      "rows": 1,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.aeval_eq_smeval",
     "mathlib:Polynomial.eval_eq_smeval",
@@ -1076,5 +1053,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Smeval.lean\",null,null,\"Polynomial.smeval_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Smeval.lean\",null,null,\"Polynomial.smeval_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Smeval.lean\",null,null,\"Polynomial.smeval_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86770,
+      "path": "data/train/p64/mathlib-000309-0000-f888dbf7174114d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f888dbf7174114d202f1feb8fdc466f20c7fe5f2158cc342d24338da625881ab"
+    },
+    {
+      "bytes": 56669,
+      "path": "data/dev/p64/mathlib-000309-0000-037b19d64079ca46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "037b19d64079ca4629ff2fb9170dd449b8e6a1141a1018c455621351bbea75f7"
+    },
+    {
+      "bytes": 41045,
+      "path": "data/internal_test/p64/mathlib-000309-0000-b8d16aa696d40ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b8d16aa696d40ba98368f4eed87e0ba9f0d8449e58e80fc5a900000397c5794c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000310.json b/manifests/batches/mathlib/000310.json
index bb1d27df32c2d80a8261bf1daa0097bc5ac3c0a1..cc47db90c7d685c85260b1babb573f895cbdb991 100644
--- a/manifests/batches/mathlib/000310.json
+++ b/manifests/batches/mathlib/000310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000310",
   "batch_fingerprint": "eb16f4f62c47d44729c517e11bb92a193866311bc7a71b1f3441adc4b755040f",
   "evidence": {
@@ -1615,29 +1614,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000310-0000-a4b0de3a9d1c46b5.parquet",
-      "sha256": "a4b0de3a9d1c46b532d6a803089eb2dee051e0475ffacf68602fd147670058d1",
-      "bytes": 275536,
-      "rows": 67,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/mathlib-000310-0000-0735a7772dba965d.parquet",
-      "sha256": "0735a7772dba965d390d62ac8a78207aec5ddc58ea4a83e154555672389a0a7d",
-      "bytes": 65695,
-      "rows": 5,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000310-0000-851500e20b18c57f.parquet",
-      "sha256": "851500e20b18c57fb5c5f7b1b83940a5c21c0e24ca963102c1c4ccd299acda86",
-      "bytes": 63439,
-      "rows": 7,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.adjoin_rootSet_eq_range",
     "mathlib:Polynomial.aeval_root_derivative_of_splits",
@@ -1713,5 +1690,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Taylor.lean\",null,null,\"Polynomial.taylor_taylor\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Taylor.lean\",null,null,\"Polynomial.taylor_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Polynomial/Taylor.lean\",null,null,\"Polynomial.taylor_zero'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275536,
+      "path": "data/train/paf/mathlib-000310-0000-a4b0de3a9d1c46b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "a4b0de3a9d1c46b532d6a803089eb2dee051e0475ffacf68602fd147670058d1"
+    },
+    {
+      "bytes": 65695,
+      "path": "data/dev/paf/mathlib-000310-0000-0735a7772dba965d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0735a7772dba965d390d62ac8a78207aec5ddc58ea4a83e154555672389a0a7d"
+    },
+    {
+      "bytes": 63439,
+      "path": "data/internal_test/paf/mathlib-000310-0000-851500e20b18c57f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "851500e20b18c57fb5c5f7b1b83940a5c21c0e24ca963102c1c4ccd299acda86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000311.json b/manifests/batches/mathlib/000311.json
index 6e17e7edba93bee05a675c56842ee38411884881..4a9e887ee4811a041bf1fbea8135991c479b0404 100644
--- a/manifests/batches/mathlib/000311.json
+++ b/manifests/batches/mathlib/000311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000311",
   "batch_fingerprint": "dfce35ebc2cb0c73076469471892daac949ac05b257508c963862c5fa60ae59a",
   "evidence": {
@@ -1929,29 +1928,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000311-0000-8a65ec8b04ab4c30.parquet",
-      "sha256": "8a65ec8b04ab4c30ef923ab0f62085c908c1ca9436c2cfa8c8b424b268257c0f",
-      "bytes": 92066,
-      "rows": 27,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/mathlib-000311-0000-6e0b64fcfb9e5f20.parquet",
-      "sha256": "6e0b64fcfb9e5f20854978429bb3018ac1aa3ea83b89890f66fb221bc7f757b6",
-      "bytes": 70934,
-      "rows": 12,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000311-0000-a8a1b30e7591c992.parquet",
-      "sha256": "a8a1b30e7591c992c96e4ee5ddc75ddb5f1fcb94c51634d46516a779af36a16b",
-      "bytes": 45052,
-      "rows": 1,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.IsUnitTrinomial.card_support_eq_three",
     "mathlib:Polynomial.IsUnitTrinomial.ne_zero",
@@ -1989,5 +1966,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/QuadraticDiscriminant.lean\",null,null,\"discrim_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/QuadraticDiscriminant.lean\",null,null,\"exists_quadratic_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/QuadraticDiscriminant.lean\",null,null,\"quadratic_eq_zero_iff_discrim_eq_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92066,
+      "path": "data/train/p2b/mathlib-000311-0000-8a65ec8b04ab4c30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8a65ec8b04ab4c30ef923ab0f62085c908c1ca9436c2cfa8c8b424b268257c0f"
+    },
+    {
+      "bytes": 70934,
+      "path": "data/dev/p2b/mathlib-000311-0000-6e0b64fcfb9e5f20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6e0b64fcfb9e5f20854978429bb3018ac1aa3ea83b89890f66fb221bc7f757b6"
+    },
+    {
+      "bytes": 45052,
+      "path": "data/internal_test/p2b/mathlib-000311-0000-a8a1b30e7591c992.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a8a1b30e7591c992c96e4ee5ddc75ddb5f1fcb94c51634d46516a779af36a16b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000312.json b/manifests/batches/mathlib/000312.json
index c36f926ea8074da609743dde834436e506dec16f..fb5cd26e8a4776c41329d5ef4d3fd237fa485f4e 100644
--- a/manifests/batches/mathlib/000312.json
+++ b/manifests/batches/mathlib/000312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000312",
   "batch_fingerprint": "fef9a47edf4d864ac24a409bbe851e74813fc55644d1c98fbf29ed455f5d83c1",
   "evidence": {
@@ -6620,22 +6619,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000312-0000-275612a4f6478a8d.parquet",
-      "sha256": "275612a4f6478a8d15b384cfaa057f036b6bda4558dab31a87294c985ad02569",
-      "bytes": 57641,
-      "rows": 14,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000312-0000-18c034d1d96147a9.parquet",
-      "sha256": "18c034d1d96147a9ff8aefa9837046cf9b0d4904a495d52d3b115afc5d84378c",
-      "bytes": 42190,
-      "rows": 6,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quandle.dihedralAct.inv",
     "mathlib:Quandle.fix_inv",
@@ -6661,5 +6645,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Quandle.lean\",null,null,\"Rack.self_invAct_invAct_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Quandle.lean\",null,null,\"UnitalShelf.act_idem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Quandle.lean\",null,null,\"UnitalShelf.assoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57641,
+      "path": "data/train/pa7/mathlib-000312-0000-275612a4f6478a8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "275612a4f6478a8d15b384cfaa057f036b6bda4558dab31a87294c985ad02569"
+    },
+    {
+      "bytes": 42190,
+      "path": "data/internal_test/pa7/mathlib-000312-0000-18c034d1d96147a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "18c034d1d96147a9ff8aefa9837046cf9b0d4904a495d52d3b115afc5d84378c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000313.json b/manifests/batches/mathlib/000313.json
index 0367bcebdfb94d01ba2ee8f581a60380dd9f0420..c5cc89e17059d0440a1635b409c7575fca63dddf 100644
--- a/manifests/batches/mathlib/000313.json
+++ b/manifests/batches/mathlib/000313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000313",
   "batch_fingerprint": "8f6e8283cb8a4ccffafd768d49c424400a4c9db9eb2906366f9a441d47d552d4",
   "evidence": {
@@ -984,22 +983,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000313-0000-d131e997179fcff3.parquet",
-      "sha256": "d131e997179fcff33d2ff5d299980ea5da6ebf579006f69bd9e6fec3d00b6f0f",
-      "bytes": 155597,
-      "rows": 39,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000313-0000-0e9d19e026aed091.parquet",
-      "sha256": "0e9d19e026aed09137d7afe39eb12d78a48aabd3581bcd446e3ba0cb9090a1d6",
-      "bytes": 46670,
-      "rows": 4,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLeftRegular.ne_zero",
     "mathlib:IsLeftRegular.of_mul",
@@ -1041,5 +1025,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/Basic.lean\",null,null,\"isRightRegular_of_mul_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/Basic.lean\",null,null,\"not_isLeftRegular_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/Basic.lean\",null,null,\"not_isRightRegular_zero_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155597,
+      "path": "data/train/p49/mathlib-000313-0000-d131e997179fcff3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "d131e997179fcff33d2ff5d299980ea5da6ebf579006f69bd9e6fec3d00b6f0f"
+    },
+    {
+      "bytes": 46670,
+      "path": "data/internal_test/p49/mathlib-000313-0000-0e9d19e026aed091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0e9d19e026aed09137d7afe39eb12d78a48aabd3581bcd446e3ba0cb9090a1d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000314.json b/manifests/batches/mathlib/000314.json
index 3400bd0466f44cf2d43395b3e09fa28945ba6b76..e08ae5938c94d1ce80ebca9f224ee2386843ee11 100644
--- a/manifests/batches/mathlib/000314.json
+++ b/manifests/batches/mathlib/000314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000314",
   "batch_fingerprint": "8e32f4b97ee489d3684de589dbad26a9038d681969b038496ef398432ab9f10b",
   "evidence": {
@@ -713,29 +712,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000314-0000-fda4da446ecd98a5.parquet",
-      "sha256": "fda4da446ecd98a562d2a3af911d355e42f92ed62fed121bd97c9393a8907cbc",
-      "bytes": 76546,
-      "rows": 24,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/dev/mathlib-000314-0000-1c0c208de30d90d4.parquet",
-      "sha256": "1c0c208de30d90d43a2f3a04d04c58ba51aee8a93a1d7306d40e8a04452aa169",
-      "bytes": 36079,
-      "rows": 2,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000314-0000-b75ba7ad0c4704fd.parquet",
-      "sha256": "b75ba7ad0c4704fdc0e521656c933aaf969c30af74d9d56260d58ececa5b27ba",
-      "bytes": 41995,
-      "rows": 3,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLeftRegular.pow",
     "mathlib:IsLeftRegular.pow_iff",
@@ -763,5 +740,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/SMul.lean\",null,null,\"IsSMulRegular.one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/SMul.lean\",null,null,\"IsSMulRegular.pow_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Regular/SMul.lean\",null,null,\"IsUnit.isSMulRegular\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76546,
+      "path": "data/train/p3f/mathlib-000314-0000-fda4da446ecd98a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fda4da446ecd98a562d2a3af911d355e42f92ed62fed121bd97c9393a8907cbc"
+    },
+    {
+      "bytes": 36079,
+      "path": "data/dev/p3f/mathlib-000314-0000-1c0c208de30d90d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1c0c208de30d90d43a2f3a04d04c58ba51aee8a93a1d7306d40e8a04452aa169"
+    },
+    {
+      "bytes": 41995,
+      "path": "data/internal_test/p3f/mathlib-000314-0000-b75ba7ad0c4704fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b75ba7ad0c4704fdc0e521656c933aaf969c30af74d9d56260d58ececa5b27ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000315.json b/manifests/batches/mathlib/000315.json
index 7474cadb5813b7d69077c3779c1196bb8b0359db..3ee06a447889896ca7a9dfc4cfc06f88d23e2010 100644
--- a/manifests/batches/mathlib/000315.json
+++ b/manifests/batches/mathlib/000315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000315",
   "batch_fingerprint": "7e95bbe9d2f1461dc25982fd5a3c0b2ac0e6669cb7955d7456880f839357b861",
   "evidence": {
@@ -107,7 +106,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000316.json b/manifests/batches/mathlib/000316.json
index ccca504d9befc6c3d03588408f64f802b08a9215..ed070ec55987f58bea78729d8739b299e083ba5d 100644
--- a/manifests/batches/mathlib/000316.json
+++ b/manifests/batches/mathlib/000316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000316",
   "batch_fingerprint": "45fe7b6f0f15908b792e230a8e047f752e967f73ef3e0723ec54374b04bdcb9f",
   "evidence": {
@@ -85,7 +84,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000317.json b/manifests/batches/mathlib/000317.json
index ee3486b2080ca8b3429d55276f54bb22cfa31a7f..41336ae20aea765ce4f936c62d13adf338481589 100644
--- a/manifests/batches/mathlib/000317.json
+++ b/manifests/batches/mathlib/000317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000317",
   "batch_fingerprint": "692591ae11c960383ebb73912351d797a6d7d2238a5cac0d94328e02382123f3",
   "evidence": {
@@ -1581,29 +1580,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000317-0000-f7d8372a9b26d4f8.parquet",
-      "sha256": "f7d8372a9b26d4f83cc403ca04326a6888cf71c2dbe8868187bbc8b15176f2ea",
-      "bytes": 53493,
-      "rows": 12,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/mathlib-000317-0000-2fdd6fadf74ecac4.parquet",
-      "sha256": "2fdd6fadf74ecac4bb8811a003719fd192ad54c96122f5fc9de116b1eec16750",
-      "bytes": 42102,
-      "rows": 5,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000317-0000-357c4f0ebbed8f82.parquet",
-      "sha256": "357c4f0ebbed8f828f90e5c9ff78ae75d1637c331160a6a12810305abad21a0a",
-      "bytes": 37236,
-      "rows": 2,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BooleanRing.inf_assoc",
     "mathlib:BooleanRing.inf_comm",
@@ -1639,5 +1616,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/BooleanRing.lean\",null,null,\"mul_one_add_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/BooleanRing.lean\",null,null,\"ofBoolAlg_symmDiff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/BooleanRing.lean\",null,null,\"sub_eq_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53493,
+      "path": "data/train/p95/mathlib-000317-0000-f7d8372a9b26d4f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f7d8372a9b26d4f83cc403ca04326a6888cf71c2dbe8868187bbc8b15176f2ea"
+    },
+    {
+      "bytes": 42102,
+      "path": "data/dev/p95/mathlib-000317-0000-2fdd6fadf74ecac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2fdd6fadf74ecac4bb8811a003719fd192ad54c96122f5fc9de116b1eec16750"
+    },
+    {
+      "bytes": 37236,
+      "path": "data/internal_test/p95/mathlib-000317-0000-357c4f0ebbed8f82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "357c4f0ebbed8f828f90e5c9ff78ae75d1637c331160a6a12810305abad21a0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000318.json b/manifests/batches/mathlib/000318.json
index 3b88c64b2c169b14d10193f165ab69907b099118..270ab187b9db149f6bc27a63884c8d2cd8495154 100644
--- a/manifests/batches/mathlib/000318.json
+++ b/manifests/batches/mathlib/000318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000318",
   "batch_fingerprint": "665688bb1a1329d44ef4475cd186535488bdcb466989efd444d589886771d0a0",
   "evidence": {
@@ -413,28 +412,29 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Set.add_mem_centralizer",
+    "mathlib:Set.neg_mem_centralizer"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Centralizer.lean\",null,null,\"Set.add_mem_centralizer\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Centralizer.lean\",null,null,\"Set.neg_mem_centralizer\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000318-0000-e46c20433e3ac9e8.parquet",
-      "sha256": "e46c20433e3ac9e82774ece64f7f5e27a45c08775980305632e68ff63fc9ff53",
       "bytes": 38536,
+      "path": "data/train/p75/mathlib-000318-0000-e46c20433e3ac9e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
+      "sha256": "e46c20433e3ac9e82774ece64f7f5e27a45c08775980305632e68ff63fc9ff53"
     },
     {
-      "path": "data/internal_test/mathlib-000318-0000-74beef21509e10fa.parquet",
-      "sha256": "74beef21509e10fabaa6d82eb54f523a96f4ef7b820312131a5a24c485aabb8b",
       "bytes": 41626,
+      "path": "data/internal_test/p75/mathlib-000318-0000-74beef21509e10fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
+      "sha256": "74beef21509e10fabaa6d82eb54f523a96f4ef7b820312131a5a24c485aabb8b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Set.add_mem_centralizer",
-    "mathlib:Set.neg_mem_centralizer"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Centralizer.lean\",null,null,\"Set.add_mem_centralizer\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Centralizer.lean\",null,null,\"Set.neg_mem_centralizer\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000319.json b/manifests/batches/mathlib/000319.json
index 2ac452d7ebf6401dc690a0095d78f726a9f3a313..16797eedc1944a65d7eb52e60aaf2b236d7ed632 100644
--- a/manifests/batches/mathlib/000319.json
+++ b/manifests/batches/mathlib/000319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000319",
   "batch_fingerprint": "201e9a0963dc523e3339c7c1066b5a4f03b78e24a40becf82199322cbcdf1042",
   "evidence": {
@@ -1885,29 +1884,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000319-0000-3296bb6c133c4066.parquet",
-      "sha256": "3296bb6c133c40666ffffd65aeed0be4fa9182245bc9a5ee04718751e56e5ac4",
-      "bytes": 76675,
-      "rows": 21,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/mathlib-000319-0000-41acb26490b8ca72.parquet",
-      "sha256": "41acb26490b8ca728e7f29a93f0a731748bded4e2b88c18a507d4b5de10ed12a",
-      "bytes": 39865,
-      "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000319-0000-8e31b54b83e37518.parquet",
-      "sha256": "8e31b54b83e37518bafe4bcb98b40f457f428dd19e6d04f29c7bb3b92102a294",
-      "bytes": 53597,
-      "rows": 5,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CentroidHom.cancel_left",
     "mathlib:CentroidHom.comp_mul_comm",
@@ -1953,5 +1930,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Commute.lean\",null,null,\"sq_eq_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Commute.lean\",null,null,\"sub_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Commute.lean\",null,null,\"sub_sq'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76675,
+      "path": "data/train/paa/mathlib-000319-0000-3296bb6c133c4066.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3296bb6c133c40666ffffd65aeed0be4fa9182245bc9a5ee04718751e56e5ac4"
+    },
+    {
+      "bytes": 39865,
+      "path": "data/dev/paa/mathlib-000319-0000-41acb26490b8ca72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "41acb26490b8ca728e7f29a93f0a731748bded4e2b88c18a507d4b5de10ed12a"
+    },
+    {
+      "bytes": 53597,
+      "path": "data/internal_test/paa/mathlib-000319-0000-8e31b54b83e37518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8e31b54b83e37518bafe4bcb98b40f457f428dd19e6d04f29c7bb3b92102a294"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000320.json b/manifests/batches/mathlib/000320.json
index f33bea8a09eab705d1896d5919647d9f06a07227..4faf371b6125b86ae6eb702dc27258306d5e6c71 100644
--- a/manifests/batches/mathlib/000320.json
+++ b/manifests/batches/mathlib/000320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000320",
   "batch_fingerprint": "7f8e6e4a3b3c017eb05dd036eaed6e1eb5ae9b284cefc5465c554d3ea760e001",
   "evidence": {
@@ -338,29 +337,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000320-0000-e193c88258282661.parquet",
-      "sha256": "e193c882582826613a3ec4ac4c3030f4ddd36686eb03fa3ea44d6c647cceacdd",
-      "bytes": 82433,
-      "rows": 29,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/mathlib-000320-0000-ce923b2008f507d9.parquet",
-      "sha256": "ce923b2008f507d9d52260a43e09d1ca3401c4a770c2243bb416c0bb9f58941c",
-      "bytes": 31791,
-      "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000320-0000-ef77805815195c98.parquet",
-      "sha256": "ef77805815195c986316ec102afef0010d07c3aae6f2cfca657fb2558bf3cbf6",
-      "bytes": 47158,
-      "rows": 3,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHomInvPair.comp_apply_eq",
     "mathlib:RingHomInvPair.comp_apply_eq\u2082",
@@ -424,5 +401,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Defs.lean\",null,null,\"one_sub_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Defs.lean\",null,null,\"sub_one_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Defs.lean\",null,null,\"two_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82433,
+      "path": "data/train/pfd/mathlib-000320-0000-e193c88258282661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e193c882582826613a3ec4ac4c3030f4ddd36686eb03fa3ea44d6c647cceacdd"
+    },
+    {
+      "bytes": 31791,
+      "path": "data/dev/pfd/mathlib-000320-0000-ce923b2008f507d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ce923b2008f507d9d52260a43e09d1ca3401c4a770c2243bb416c0bb9f58941c"
+    },
+    {
+      "bytes": 47158,
+      "path": "data/internal_test/pfd/mathlib-000320-0000-ef77805815195c98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ef77805815195c986316ec102afef0010d07c3aae6f2cfca657fb2558bf3cbf6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000321.json b/manifests/batches/mathlib/000321.json
index 438d1954ada159f28a60d91d6e45286ddd1c5bf9..4068b01604db4fdad4166f4d1dffd132f45fd374 100644
--- a/manifests/batches/mathlib/000321.json
+++ b/manifests/batches/mathlib/000321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000321",
   "batch_fingerprint": "407121ce7df1dad5be27af844c5f57f29aa3cdd8757fe286482f303e0dedc8d5",
   "evidence": {
@@ -472,22 +471,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000321-0000-5879d912c5039d71.parquet",
-      "sha256": "5879d912c5039d71a41d72f0af24b27c0e2981904a82b4dca62add31d34197aa",
-      "bytes": 74745,
-      "rows": 24,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000321-0000-c52c0820e708f71f.parquet",
-      "sha256": "c52c0820e708f71fd61f76565d29f13e54a596948ed96729ee68da6136db1159",
-      "bytes": 46121,
-      "rows": 5,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.add_pow_dvd_pow_of_pow_eq_zero_right",
     "mathlib:Commute.pow_dvd_pow_of_add_pow_eq_zero",
@@ -527,5 +511,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Divisibility/Lemmas.lean\",null,null,\"Commute.pow_dvd_sub_pow_of_pow_eq_zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Divisibility/Lemmas.lean\",null,null,\"Commute.pow_dvd_sub_pow_of_pow_eq_zero_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Divisibility/Lemmas.lean\",null,null,\"dvd_smul_of_dvd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74745,
+      "path": "data/train/pf3/mathlib-000321-0000-5879d912c5039d71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5879d912c5039d71a41d72f0af24b27c0e2981904a82b4dca62add31d34197aa"
+    },
+    {
+      "bytes": 46121,
+      "path": "data/internal_test/pf3/mathlib-000321-0000-c52c0820e708f71f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c52c0820e708f71fd61f76565d29f13e54a596948ed96729ee68da6136db1159"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000322.json b/manifests/batches/mathlib/000322.json
index 6faa9b3ff3ae169207e2f10f7ea141994d841075..07db02abcd523ecad565bbd8fa90d9443997a1cd 100644
--- a/manifests/batches/mathlib/000322.json
+++ b/manifests/batches/mathlib/000322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000322",
   "batch_fingerprint": "18e6c6c4def22be28a195d33b2c7c9442f03badaaefe4bf264359a3bfaaf5f36",
   "evidence": {
@@ -3183,29 +3182,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000322-0000-758b0d66c948e7b8.parquet",
-      "sha256": "758b0d66c948e7b8038a7d68de3e91f8890d9cc963019cd5926c44eb48288ce4",
-      "bytes": 205780,
-      "rows": 68,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/dev/mathlib-000322-0000-680ab8f5035ae512.parquet",
-      "sha256": "680ab8f5035ae512212fd9d38ede55b2b437e8d331013055c83a8912e35a52e6",
-      "bytes": 31550,
-      "rows": 2,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000322-0000-5f9a10dac79d83f9.parquet",
-      "sha256": "5f9a10dac79d83f96131b69243852ae34a3ca28b775d5100954a425a4648737b",
-      "bytes": 44699,
-      "rows": 8,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCommGroupWithOne.ext",
     "mathlib:AddCommMonoidWithOne.toAddMonoidWithOne_injective",
@@ -3281,5 +3258,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Ext.lean\",null,null,\"Ring.ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Ext.lean\",null,null,\"Ring.toNonAssocRing_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Ext.lean\",null,null,\"Semiring.ext_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205780,
+      "path": "data/train/p3c/mathlib-000322-0000-758b0d66c948e7b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "758b0d66c948e7b8038a7d68de3e91f8890d9cc963019cd5926c44eb48288ce4"
+    },
+    {
+      "bytes": 31550,
+      "path": "data/dev/p3c/mathlib-000322-0000-680ab8f5035ae512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "680ab8f5035ae512212fd9d38ede55b2b437e8d331013055c83a8912e35a52e6"
+    },
+    {
+      "bytes": 44699,
+      "path": "data/internal_test/p3c/mathlib-000322-0000-5f9a10dac79d83f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5f9a10dac79d83f96131b69243852ae34a3ca28b775d5100954a425a4648737b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000323.json b/manifests/batches/mathlib/000323.json
index 989815ad88725dc750e099bd99c0d4c34bf87b6e..e83716fc614d36ea112afb4101ab3bf9bb1f8986 100644
--- a/manifests/batches/mathlib/000323.json
+++ b/manifests/batches/mathlib/000323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000323",
   "batch_fingerprint": "d551c45d662080a340c2b42325e379ee40e9adf4fc4c65e91e66ed559c8a1578",
   "evidence": {
@@ -1537,22 +1536,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000323-0000-3a68b237bb5e36d4.parquet",
-      "sha256": "3a68b237bb5e36d4a8773bcef99b61fa340b11641bbdf67ba85c70b67aa10aec",
-      "bytes": 65460,
-      "rows": 14,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000323-0000-d9f85e9a579a6ae1.parquet",
-      "sha256": "d9f85e9a579a6ae192e775df02b32f2b040bdb7a4db37bd9647d312c353e3511",
-      "bytes": 53689,
-      "rows": 3,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidHom.coe_addMonoidHom_mkRingHomOfMulSelfOfTwoNeZero",
     "mathlib:Function.Injective.isDomain",
@@ -1578,5 +1562,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Hom/Defs.lean\",null,null,\"RingHom.map_ite_one_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Hom/Defs.lean\",null,null,\"RingHom.map_ite_zero_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Hom/Defs.lean\",null,null,\"RingHom.toMonoidWithZeroHom_eq_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65460,
+      "path": "data/train/pab/mathlib-000323-0000-3a68b237bb5e36d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3a68b237bb5e36d4a8773bcef99b61fa340b11641bbdf67ba85c70b67aa10aec"
+    },
+    {
+      "bytes": 53689,
+      "path": "data/internal_test/pab/mathlib-000323-0000-d9f85e9a579a6ae1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d9f85e9a579a6ae192e775df02b32f2b040bdb7a4db37bd9647d312c353e3511"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000324.json b/manifests/batches/mathlib/000324.json
index da23f1f166a678fda71a3600de21d771a355f34b..7cba28337a9df2dabc9a7e5a2ffe5a1f9e22bf35 100644
--- a/manifests/batches/mathlib/000324.json
+++ b/manifests/batches/mathlib/000324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000324",
   "batch_fingerprint": "1c2c18866200898e63fd0d853e119b59caa5bec17336dc7d95cddf14012d79c7",
   "evidence": {
@@ -282,29 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000324-0000-8da86e01af6f1789.parquet",
-      "sha256": "8da86e01af6f178932cbd42335da5493bdfb70af6a7b0cbbff846190fa1767ea",
-      "bytes": 81919,
-      "rows": 10,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/mathlib-000324-0000-e66e3e5ab2d530da.parquet",
-      "sha256": "e66e3e5ab2d530da9e2d10dbcda7862e8700defa3b2cbcaa219814184556b7ce",
-      "bytes": 38105,
-      "rows": 2,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000324-0000-cfe582ebe00b02d1.parquet",
-      "sha256": "cfe582ebe00b02d19e474169ce4bb4f67914f403a4c61f92d75c97e8f68238ec",
-      "bytes": 36805,
-      "rows": 1,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsIdempotentElem.iff_eq_zero_or_one",
     "mathlib:IsIdempotentElem.mul_of_commute",
@@ -330,5 +307,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Identities.lean\",null,null,\"sq_add_sq_mul_sq_add_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Identities.lean\",null,null,\"sum_eight_sq_mul_sum_eight_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Identities.lean\",null,null,\"sum_four_sq_mul_sum_four_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81919,
+      "path": "data/train/p0c/mathlib-000324-0000-8da86e01af6f1789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8da86e01af6f178932cbd42335da5493bdfb70af6a7b0cbbff846190fa1767ea"
+    },
+    {
+      "bytes": 38105,
+      "path": "data/dev/p0c/mathlib-000324-0000-e66e3e5ab2d530da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e66e3e5ab2d530da9e2d10dbcda7862e8700defa3b2cbcaa219814184556b7ce"
+    },
+    {
+      "bytes": 36805,
+      "path": "data/internal_test/p0c/mathlib-000324-0000-cfe582ebe00b02d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cfe582ebe00b02d19e474169ce4bb4f67914f403a4c61f92d75c97e8f68238ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000325.json b/manifests/batches/mathlib/000325.json
index 5cdb16d4410f6431910ad229e3f46d9d79f07280..a19c9da61ae3e4cdbf49b871aeb0da10b56c13b3 100644
--- a/manifests/batches/mathlib/000325.json
+++ b/manifests/batches/mathlib/000325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000325",
   "batch_fingerprint": "e16c417b9fea85e2d75c273b9cd56f7ee6edba9c164d3cb333c1922f0236ef79",
   "evidence": {
@@ -610,29 +609,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000325-0000-568a6e15b24bcf10.parquet",
-      "sha256": "568a6e15b24bcf107cf3362f64968811c13124864a30e078f5db05c7c5e389e6",
-      "bytes": 75343,
-      "rows": 28,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/mathlib-000325-0000-775f5898e4230eaf.parquet",
-      "sha256": "775f5898e4230eaf94c23d34e253fbb2ef800dc17bd273a70c475dc92017c060",
-      "bytes": 28502,
-      "rows": 1,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000325-0000-533ef60995ba924c.parquet",
-      "sha256": "533ef60995ba924ca939b1940bf9dbaa8794dc8805715d421c85f2ecd137b684",
-      "bytes": 53189,
-      "rows": 4,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.leftDistribClass",
     "mathlib:Function.Injective.rightDistribClass",
@@ -690,5 +667,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Int.lean\",null,null,\"Int.two_mul_ediv_two_add_one_of_odd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Int.lean\",null,null,\"Int.units_eq_one_or\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Int.lean\",null,null,\"Int.units_ne_iff_eq_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75343,
+      "path": "data/train/pd9/mathlib-000325-0000-568a6e15b24bcf10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "568a6e15b24bcf107cf3362f64968811c13124864a30e078f5db05c7c5e389e6"
+    },
+    {
+      "bytes": 28502,
+      "path": "data/dev/pd9/mathlib-000325-0000-775f5898e4230eaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "775f5898e4230eaf94c23d34e253fbb2ef800dc17bd273a70c475dc92017c060"
+    },
+    {
+      "bytes": 53189,
+      "path": "data/internal_test/pd9/mathlib-000325-0000-533ef60995ba924c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "533ef60995ba924ca939b1940bf9dbaa8794dc8805715d421c85f2ecd137b684"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000326.json b/manifests/batches/mathlib/000326.json
index 0e869628fcb4a5408879d49969376ae19bce57c2..42f519a27b83b41808d82dce74489ea24e496be9 100644
--- a/manifests/batches/mathlib/000326.json
+++ b/manifests/batches/mathlib/000326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000326",
   "batch_fingerprint": "9fadbc4a70095532a9f56e52a94ca27b2cb61c171a23d3211a0eb8d8716ab6a9",
   "evidence": {
@@ -575,22 +574,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000326-0000-144257bfd83dae68.parquet",
-      "sha256": "144257bfd83dae683a059c424709235a835e528b03102d76fa89150a5124f014",
-      "bytes": 52289,
-      "rows": 15,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000326-0000-df66f923a8645094.parquet",
-      "sha256": "df66f923a8645094272f0b34c14c80ea0042bd302e9cacbf167ee79c80be645e",
-      "bytes": 33049,
-      "rows": 1,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.abs_negOnePow",
     "mathlib:Int.negOnePow_abs",
@@ -620,5 +604,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/NegOnePow.lean\",null,null,\"Int.negOnePow_odd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/NegOnePow.lean\",null,null,\"Int.negOnePow_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/NegOnePow.lean\",null,null,\"Int.negOnePow_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52289,
+      "path": "data/train/pfd/mathlib-000326-0000-144257bfd83dae68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "144257bfd83dae683a059c424709235a835e528b03102d76fa89150a5124f014"
+    },
+    {
+      "bytes": 33049,
+      "path": "data/internal_test/pfd/mathlib-000326-0000-df66f923a8645094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "df66f923a8645094272f0b34c14c80ea0042bd302e9cacbf167ee79c80be645e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000327.json b/manifests/batches/mathlib/000327.json
index 3545e6d0c078ef8a96f766ef37f5feb88797ecb6..5cad8a2c0576517fe5852242fe15ee37e3a0c814 100644
--- a/manifests/batches/mathlib/000327.json
+++ b/manifests/batches/mathlib/000327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000327",
   "batch_fingerprint": "95cecc86d4c4655203878ff875faf0ca018c3028559276a2be176846a6aa1b07",
   "evidence": {
@@ -941,29 +940,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000327-0000-a01c42ebce424483.parquet",
-      "sha256": "a01c42ebce424483875ff5c67ec70bb1c667eee6fa20ad096dea8432c6c74f34",
-      "bytes": 138307,
-      "rows": 54,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/mathlib-000327-0000-8404ef31bf5320d7.parquet",
-      "sha256": "8404ef31bf5320d7e4229e9fd38903538d073e4e4b879af56ebcb687a07211ae",
-      "bytes": 61400,
-      "rows": 10,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000327-0000-542e8b58badacd3b.parquet",
-      "sha256": "542e8b58badacd3b918264eed51234a595b73f876b61259fb83fc743e255460a",
-      "bytes": 49715,
-      "rows": 8,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Even.neg_one_pow",
     "mathlib:Even.neg_one_zpow",
@@ -1069,5 +1046,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Parity.lean\",null,null,\"odd_iff_exists_bit1\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Parity.lean\",null,null,\"odd_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Parity.lean\",null,null,\"range_two_mul_add_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138307,
+      "path": "data/train/pb9/mathlib-000327-0000-a01c42ebce424483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "a01c42ebce424483875ff5c67ec70bb1c667eee6fa20ad096dea8432c6c74f34"
+    },
+    {
+      "bytes": 61400,
+      "path": "data/dev/pb9/mathlib-000327-0000-8404ef31bf5320d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8404ef31bf5320d7e4229e9fd38903538d073e4e4b879af56ebcb687a07211ae"
+    },
+    {
+      "bytes": 49715,
+      "path": "data/internal_test/pb9/mathlib-000327-0000-542e8b58badacd3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "542e8b58badacd3b918264eed51234a595b73f876b61259fb83fc743e255460a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000328.json b/manifests/batches/mathlib/000328.json
index 04fb92e889c44aa69801fb7380f5d488e1a683bb..fb90621b3a4b7495e54296728ffbfb08c9ec2007 100644
--- a/manifests/batches/mathlib/000328.json
+++ b/manifests/batches/mathlib/000328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000328",
   "batch_fingerprint": "7320cfd9dc5681f2f6f87f6613ee97759d72cb530e784b7862793c787d40c151",
   "evidence": {
@@ -700,22 +699,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000328-0000-7262d53e4f75bcc1.parquet",
-      "sha256": "7262d53e4f75bcc1584e9663b9dd29d47b3ccdf6f9fc8bc748457d377fd69a7e",
-      "bytes": 49685,
-      "rows": 8,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000328-0000-d969111f56ecfe50.parquet",
-      "sha256": "d969111f56ecfe50a9463770e0ef6898b76d270c071a27401c02f351e0f8c8c1",
-      "bytes": 34512,
-      "rows": 1,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NonUnitalRingHom.prod_unique",
     "mathlib:Rat.den_mul_eq_num",
@@ -737,5 +721,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Rat.lean\",null,null,\"Rat.mkRat_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Rat.lean\",null,null,\"Rat.natCast_eq_divInt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Rat.lean\",null,null,\"Rat.num_div_den\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49685,
+      "path": "data/train/pb6/mathlib-000328-0000-7262d53e4f75bcc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7262d53e4f75bcc1584e9663b9dd29d47b3ccdf6f9fc8bc748457d377fd69a7e"
+    },
+    {
+      "bytes": 34512,
+      "path": "data/internal_test/pb6/mathlib-000328-0000-d969111f56ecfe50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d969111f56ecfe50a9463770e0ef6898b76d270c071a27401c02f351e0f8c8c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000329.json b/manifests/batches/mathlib/000329.json
index 01c341d50726a8d853ed258d815c7955422fe973..04d56675db8dce65118df4005dec13f6f26a723a 100644
--- a/manifests/batches/mathlib/000329.json
+++ b/manifests/batches/mathlib/000329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000329",
   "batch_fingerprint": "96c6c2e64ea000572716e68ae72954e2da62d72ebcf5ef5fbcb2dc2d1cf2bd38",
   "evidence": {
@@ -128,15 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000329-0000-b42267d60a2cbf20.parquet",
-      "sha256": "b42267d60a2cbf20f7c19a5fe2e7d8591afc5a0ae3b72258305cb3c8b790e583",
-      "bytes": 57547,
-      "rows": 12,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemiconjBy.add_left",
     "mathlib:SemiconjBy.add_right",
@@ -158,5 +149,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Semiconj.lean\",null,null,\"SemiconjBy.neg_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Semiconj.lean\",null,null,\"SemiconjBy.sub_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Semiconj.lean\",null,null,\"SemiconjBy.sub_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57547,
+      "path": "data/train/pdb/mathlib-000329-0000-b42267d60a2cbf20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b42267d60a2cbf20f7c19a5fe2e7d8591afc5a0ae3b72258305cb3c8b790e583"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000330.json b/manifests/batches/mathlib/000330.json
index 32ce00f2c595836e32ec66c7a23b4d9771d7bdce..e6c123d7485a3ee6806830921fb455dedf421770 100644
--- a/manifests/batches/mathlib/000330.json
+++ b/manifests/batches/mathlib/000330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000330",
   "batch_fingerprint": "c6438dbb8b6647ab087cd428c71cd869f1890d34b845f36da050dc3490c226cf",
   "evidence": {
@@ -4245,29 +4244,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000330-0000-ff5da7f46e056dcb.parquet",
-      "sha256": "ff5da7f46e056dcb192bd6ce4e3eb03a8019c5ede2cb874ec514a1877aa5481c",
-      "bytes": 67472,
-      "rows": 16,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/dev/mathlib-000330-0000-7dee034ddbd07dfc.parquet",
-      "sha256": "7dee034ddbd07dfcc4f3990f13513d6d4092badb3e25d1b939ea451ea8d981c8",
-      "bytes": 38293,
-      "rows": 1,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000330-0000-0e3c49604fce89f1.parquet",
-      "sha256": "0e3c49604fce89f1484b8461ce4b937535675f0459527134138e4dff39bdddb9",
-      "bytes": 35490,
-      "rows": 2,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.map_range",
     "mathlib:RingHom.range_eq_map",
@@ -4297,5 +4274,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subring/Basic.lean\",null,null,\"intCast_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subring/MulOpposite.lean\",null,null,\"Subring.op_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subring/MulOpposite.lean\",null,null,\"Subring.unop_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67472,
+      "path": "data/train/p14/mathlib-000330-0000-ff5da7f46e056dcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ff5da7f46e056dcb192bd6ce4e3eb03a8019c5ede2cb874ec514a1877aa5481c"
+    },
+    {
+      "bytes": 38293,
+      "path": "data/dev/p14/mathlib-000330-0000-7dee034ddbd07dfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7dee034ddbd07dfcc4f3990f13513d6d4092badb3e25d1b939ea451ea8d981c8"
+    },
+    {
+      "bytes": 35490,
+      "path": "data/internal_test/p14/mathlib-000330-0000-0e3c49604fce89f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e3c49604fce89f1484b8461ce4b937535675f0459527134138e4dff39bdddb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000331.json b/manifests/batches/mathlib/000331.json
index 02fabb244d2c3bf7e5c578834d387a8be4bba493..54ac06d0b2d7af5da959621a245cc96e6af4453c 100644
--- a/manifests/batches/mathlib/000331.json
+++ b/manifests/batches/mathlib/000331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000331",
   "batch_fingerprint": "7b1b2fe854d37fe665806b19a701ebc628cc533e20a4677c3767c9b62b7753fd",
   "evidence": {
@@ -503,7 +502,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000332.json b/manifests/batches/mathlib/000332.json
index ee04c5c4ff6a5811d72e2a83f0e974be4d569191..dbfe9504a9306a45f826941083285723c5928bae 100644
--- a/manifests/batches/mathlib/000332.json
+++ b/manifests/batches/mathlib/000332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000332",
   "batch_fingerprint": "c832040f3011eb64c26022f79f5b571739c7b133a16302fcb8906fcdaa1b4ebb",
   "evidence": {
@@ -3027,22 +3026,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000332-0000-eab12a88023d401a.parquet",
-      "sha256": "eab12a88023d401a3e445a79c2b10527896d5537bb28e95d2402275dde66517d",
-      "bytes": 80990,
-      "rows": 19,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/mathlib-000332-0000-0173575525174801.parquet",
-      "sha256": "0173575525174801f950ed6cfe463b0321592cc0a79f5397a115abb7f7a69231",
-      "bytes": 47950,
-      "rows": 3,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.map_rangeS",
     "mathlib:RingHom.rangeS_eq_map",
@@ -3070,5 +3054,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subsemiring/Basic.lean\",null,null,\"Subsemiring.top_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subsemiring/Basic.lean\",null,null,\"natCast_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subsemiring/Basic.lean\",null,null,\"ofNat_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80990,
+      "path": "data/train/p47/mathlib-000332-0000-eab12a88023d401a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "eab12a88023d401a3e445a79c2b10527896d5537bb28e95d2402275dde66517d"
+    },
+    {
+      "bytes": 47950,
+      "path": "data/internal_test/p47/mathlib-000332-0000-0173575525174801.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0173575525174801f950ed6cfe463b0321592cc0a79f5397a115abb7f7a69231"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000333.json b/manifests/batches/mathlib/000333.json
index 5ff16ecfe208e4f1dd3ba7a148961de477ba61b7..a76560b308a9ea39a23985cc457a39d5bdfe87ef 100644
--- a/manifests/batches/mathlib/000333.json
+++ b/manifests/batches/mathlib/000333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000333",
   "batch_fingerprint": "7ca175f16b00b2266778733b678e218965bd29fc6969ced0dc8a13fcefbeca19",
   "evidence": {
@@ -964,15 +963,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000333-0000-cfec92c098aaa18a.parquet",
-      "sha256": "cfec92c098aaa18ad6e5b42d8e70b92a04ae673481394e0f00cb1c9f230b1469",
-      "bytes": 51650,
-      "rows": 6,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subsemiring.op_closure",
     "mathlib:Subsemiring.unop_closure"
@@ -980,5 +971,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean\",null,null,\"Subsemiring.op_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean\",null,null,\"Subsemiring.unop_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51650,
+      "path": "data/train/p0f/mathlib-000333-0000-cfec92c098aaa18a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cfec92c098aaa18ad6e5b42d8e70b92a04ae673481394e0f00cb1c9f230b1469"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000334.json b/manifests/batches/mathlib/000334.json
index 569b33b595ed0427524a4a835494062dd214ed87..c261010439236d3e1d4223449ad728254a930faf 100644
--- a/manifests/batches/mathlib/000334.json
+++ b/manifests/batches/mathlib/000334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000334",
   "batch_fingerprint": "36e0ac526bf75967aeb86e5c231e344d864e5fd8c114e37333c619e31d37236e",
   "evidence": {
@@ -1510,15 +1509,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000334-0000-56501b5eb34f0dab.parquet",
-      "sha256": "56501b5eb34f0dabccd6b2fc7a976a415ffd228676ea188f05f1a7300ef75bc4",
-      "bytes": 77378,
-      "rows": 15,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Units.add_divp",
     "mathlib:Units.add_eq_mul_one_add_div",
@@ -1546,5 +1537,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Units.lean\",null,null,\"Units.map_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Units.lean\",null,null,\"Units.neg_divp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Ring/Units.lean\",null,null,\"Units.sub_divp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77378,
+      "path": "data/train/p85/mathlib-000334-0000-56501b5eb34f0dab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "56501b5eb34f0dabccd6b2fc7a976a415ffd228676ea188f05f1a7300ef75bc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000335.json b/manifests/batches/mathlib/000335.json
index 7181619ac96f76f5625b1cee1e87dd7dbfaa91be..b9bd65e86e775c73cc40036cd92bb8afe4d3c9dc 100644
--- a/manifests/batches/mathlib/000335.json
+++ b/manifests/batches/mathlib/000335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000335",
   "batch_fingerprint": "988191c4ee0741d757c1441061a61e3912181f560f3289047c73429249336230",
   "evidence": {
@@ -1374,29 +1373,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000335-0000-dc78d69a35d82b4d.parquet",
-      "sha256": "dc78d69a35d82b4dbef66634e121ef15a9cf431b2ee87f715865aeabc697717a",
-      "bytes": 84146,
-      "rows": 22,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/mathlib-000335-0000-e7c9745ae271f8c7.parquet",
-      "sha256": "e7c9745ae271f8c70f681404ae2d006ec25bbc7573248ebc3adad97c73df72f5",
-      "bytes": 36235,
-      "rows": 3,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/mathlib-000335-0000-21ced418525b0610.parquet",
-      "sha256": "21ced418525b0610e973717e43ea100eb8f05d9f30d4a805b9e4b22a57590965",
-      "bytes": 34891,
-      "rows": 1,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.squarefree_natAbs",
     "mathlib:Int.squarefree_natCast",
@@ -1426,5 +1403,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Squarefree/Basic.lean\",null,null,\"squarefree_iff_irreducible_sq_not_dvd_of_exists_irreducible\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Squarefree/Basic.lean\",null,null,\"squarefree_iff_irreducible_sq_not_dvd_of_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Squarefree/Basic.lean\",null,null,\"squarefree_iff_no_irreducibles\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84146,
+      "path": "data/train/pd8/mathlib-000335-0000-dc78d69a35d82b4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "dc78d69a35d82b4dbef66634e121ef15a9cf431b2ee87f715865aeabc697717a"
+    },
+    {
+      "bytes": 36235,
+      "path": "data/dev/pd8/mathlib-000335-0000-e7c9745ae271f8c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e7c9745ae271f8c70f681404ae2d006ec25bbc7573248ebc3adad97c73df72f5"
+    },
+    {
+      "bytes": 34891,
+      "path": "data/internal_test/pd8/mathlib-000335-0000-21ced418525b0610.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "21ced418525b0610e973717e43ea100eb8f05d9f30d4a805b9e4b22a57590965"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000336.json b/manifests/batches/mathlib/000336.json
index 21a9d4f904d5e8653843f287400e977b8c6a9734..077d6d609c8437430733867e6cbad0ad69a260aa 100644
--- a/manifests/batches/mathlib/000336.json
+++ b/manifests/batches/mathlib/000336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000336",
   "batch_fingerprint": "ef9af9f9dbcadc8ca18e4a077de4155179b68c7085e5ecf824fa97b1f18da618",
   "evidence": {
@@ -1056,15 +1055,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000336-0000-34d238338b3ea411.parquet",
-      "sha256": "34d238338b3ea411adba71f0d44c3067894226f67ee61a79bcc21da733a1c091",
-      "bytes": 46762,
-      "rows": 10,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLeftRegular.star",
     "mathlib:IsRightRegular.star",
@@ -1086,5 +1077,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Basic.lean\",null,null,\"star_div'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Basic.lean\",null,null,\"star_mul_star\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Basic.lean\",null,null,\"star_star_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46762,
+      "path": "data/train/p5c/mathlib-000336-0000-34d238338b3ea411.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "34d238338b3ea411adba71f0d44c3067894226f67ee61a79bcc21da733a1c091"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000337.json b/manifests/batches/mathlib/000337.json
index c799e0744ebc11122c882124c2c9f360c7859139..7b10de76afd708dd79dcd3b582087d6013eb93d5 100644
--- a/manifests/batches/mathlib/000337.json
+++ b/manifests/batches/mathlib/000337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000337",
   "batch_fingerprint": "597be6c43dd03595e074d6473f23e738fa3845bf4045e29873d3270827bceff5",
   "evidence": {
@@ -735,15 +734,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000337-0000-7f4f816f0f82a86c.parquet",
-      "sha256": "7f4f816f0f82a86cd2275553d9311c19269ba7f07f5eaec187a00082a79d86a2",
-      "bytes": 49404,
-      "rows": 4,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CHSH_id",
     "mathlib:Set.star_mem_centralizer'",
@@ -753,5 +744,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/CHSH.lean\",null,null,\"CHSH_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/CHSH.lean\",null,null,\"TsirelsonInequality.sqrt_two_inv_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Center.lean\",null,null,\"Set.star_mem_centralizer'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49404,
+      "path": "data/train/pef/mathlib-000337-0000-7f4f816f0f82a86c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7f4f816f0f82a86cd2275553d9311c19269ba7f07f5eaec187a00082a79d86a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000338.json b/manifests/batches/mathlib/000338.json
index 549dc8e7ae2a1c26fad3f78ed293f8bc84ce7320..b9ecc69fb35ebf2d4633a11239dbefd00edd1189 100644
--- a/manifests/batches/mathlib/000338.json
+++ b/manifests/batches/mathlib/000338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000338",
   "batch_fingerprint": "41c46e6c15ba58cc38b42e5e763ff6b6aea2b52aee697c987fb7ca21d02d4a96",
   "evidence": {
@@ -282,15 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000338-0000-4b6ff8848a1d4e40.parquet",
-      "sha256": "4b6ff8848a1d4e40674e8ff89f1d01fdfb99dbb6ce6be83fb1944c12d2c13efe",
-      "bytes": 65882,
-      "rows": 9,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FreeAlgebra.star_algebraMap",
     "mathlib:FreeAlgebra.star_\u03b9",
@@ -310,5 +301,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Module.lean\",null,null,\"algebraMap_star_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Module.lean\",null,null,\"selfAdjointPart_comp_subtype_skewAdjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Module.lean\",null,null,\"skewAdjointPart_comp_subtype_skewAdjoint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65882,
+      "path": "data/train/p8d/mathlib-000338-0000-4b6ff8848a1d4e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4b6ff8848a1d4e40674e8ff89f1d01fdfb99dbb6ce6be83fb1944c12d2c13efe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000339.json b/manifests/batches/mathlib/000339.json
index 2586593c11f78492e176bd50897fe6a065994c0d..d967f42efc98dde6d153101d4cfe36afd1d8ddce 100644
--- a/manifests/batches/mathlib/000339.json
+++ b/manifests/batches/mathlib/000339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000339",
   "batch_fingerprint": "13ef36fbf18201541a53617ad0154fa0e3035b5908254fc5a8dbdbbf994c4076",
   "evidence": {
@@ -3979,22 +3978,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000339-0000-51a030c113e2d731.parquet",
-      "sha256": "51a030c113e2d7316a7894cd0a888ebf3c5fea11ad17672f26937c0b92b3d722",
-      "bytes": 86228,
-      "rows": 29,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/mathlib-000339-0000-36b555c9e56ad2c6.parquet",
-      "sha256": "36b555c9e56ad2c61d6c79522c6b2a55d11ec31237361ab2d7f99911230569dd",
-      "bytes": 41914,
-      "rows": 2,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsSelfAdjoint.mono",
     "mathlib:StarOrderedRing.nonneg_iff",
@@ -4044,5 +4028,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Order.lean\",null,null,\"star_nonneg_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Order.lean\",null,null,\"star_nonpos_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Order.lean\",null,null,\"star_pos_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86228,
+      "path": "data/train/pea/mathlib-000339-0000-51a030c113e2d731.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "51a030c113e2d7316a7894cd0a888ebf3c5fea11ad17672f26937c0b92b3d722"
+    },
+    {
+      "bytes": 41914,
+      "path": "data/internal_test/pea/mathlib-000339-0000-36b555c9e56ad2c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36b555c9e56ad2c61d6c79522c6b2a55d11ec31237361ab2d7f99911230569dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000340.json b/manifests/batches/mathlib/000340.json
index 539c00bac8af0ea9173d8dad27bf6e2194447cde..30dd022c9f6b738ad19ae1de7bbf5eca0a6628c1 100644
--- a/manifests/batches/mathlib/000340.json
+++ b/manifests/batches/mathlib/000340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000340",
   "batch_fingerprint": "d95410eda1edabedff2fdfee6bd0afe5e384ba42bc7d0d602bf6a91ddf078fc6",
   "evidence": {
@@ -429,22 +428,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000340-0000-bee2466037256945.parquet",
-      "sha256": "bee24660372569457feb13582594fd3e6266225b2be75b1202f0d0f92ae1b7cb",
-      "bytes": 49227,
-      "rows": 12,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/mathlib-000340-0000-a886d3bd7e3ad428.parquet",
-      "sha256": "a886d3bd7e3ad428b910193f0a55f24a6fcc64f0dcd812898c19d39e5fbad829",
-      "bytes": 47793,
-      "rows": 2,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.star_sum_elim",
     "mathlib:Set.image_star",
@@ -466,5 +450,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Pointwise.lean\",null,null,\"Set.star_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Pointwise.lean\",null,null,\"Set.star_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Pointwise.lean\",null,null,\"Set.star_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49227,
+      "path": "data/train/p92/mathlib-000340-0000-bee2466037256945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bee24660372569457feb13582594fd3e6266225b2be75b1202f0d0f92ae1b7cb"
+    },
+    {
+      "bytes": 47793,
+      "path": "data/internal_test/p92/mathlib-000340-0000-a886d3bd7e3ad428.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a886d3bd7e3ad428b910193f0a55f24a6fcc64f0dcd812898c19d39e5fbad829"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000341.json b/manifests/batches/mathlib/000341.json
index f3486c1620c368bf8482a075f887b436a16d53f6..cb9e794777eec509642b914a7cbadfb963d1d7e2 100644
--- a/manifests/batches/mathlib/000341.json
+++ b/manifests/batches/mathlib/000341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000341",
   "batch_fingerprint": "f2378249250f083ff8cb1ef484ae549d12cd9d540d72ed5e52a9f749db691139",
   "evidence": {
@@ -151,7 +150,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000342.json b/manifests/batches/mathlib/000342.json
index e701424d314d942460531c2b26bf17048bb1037e..37a9aeadbb9d77d86423cb9181b63b5bc3307f6c 100644
--- a/manifests/batches/mathlib/000342.json
+++ b/manifests/batches/mathlib/000342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000342",
   "batch_fingerprint": "c6d71225f1264ed3d977bdfba2e7400b81a116ba2671683d323c9ccfe635311b",
   "evidence": {
@@ -872,29 +871,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000342-0000-e7742d93bf1d9f0b.parquet",
-      "sha256": "e7742d93bf1d9f0b3760e56cb8e02b20e42323373f7ae7ed223fcd90443a8f2a",
-      "bytes": 66936,
-      "rows": 22,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/dev/mathlib-000342-0000-3787d7021e1d1b48.parquet",
-      "sha256": "3787d7021e1d1b48e7114169528702749db83191b1773dacacaf623d7b52a245",
-      "bytes": 36728,
-      "rows": 1,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/mathlib-000342-0000-43d131e0187abe90.parquet",
-      "sha256": "43d131e0187abe9077acc71ebf8cc97ead98c2cfc51ad15b5578206f00a2612a",
-      "bytes": 43054,
-      "rows": 3,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsSelfAdjoint.add",
     "mathlib:IsSelfAdjoint.add_star_self",
@@ -944,5 +921,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/SelfAdjoint.lean\",null,null,\"skewAdjoint.isStarNormal_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/SelfAdjoint.lean\",null,null,\"skewAdjoint.mem_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/SelfAdjoint.lean\",null,null,\"skewAdjoint.smul_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66936,
+      "path": "data/train/pa0/mathlib-000342-0000-e7742d93bf1d9f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e7742d93bf1d9f0b3760e56cb8e02b20e42323373f7ae7ed223fcd90443a8f2a"
+    },
+    {
+      "bytes": 36728,
+      "path": "data/dev/pa0/mathlib-000342-0000-3787d7021e1d1b48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3787d7021e1d1b48e7114169528702749db83191b1773dacacaf623d7b52a245"
+    },
+    {
+      "bytes": 43054,
+      "path": "data/internal_test/pa0/mathlib-000342-0000-43d131e0187abe90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "43d131e0187abe9077acc71ebf8cc97ead98c2cfc51ad15b5578206f00a2612a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000343.json b/manifests/batches/mathlib/000343.json
index 35cbd3b3957dd2078d59e03814be3988fec8ae20..76ed38bb073414fccf7b740442ada0589ce46d65 100644
--- a/manifests/batches/mathlib/000343.json
+++ b/manifests/batches/mathlib/000343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000343",
   "batch_fingerprint": "3b4f5965edba1d78adc3f51b2a32626f9df971bc30f0954ebd320a3bbea63d8e",
   "evidence": {
@@ -2064,15 +2063,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000343-0000-42bff448f7e59230.parquet",
-      "sha256": "42bff448f7e59230599470657a36cd6919e124d0e1bb043160dd29493f0fff32",
-      "bytes": 115761,
-      "rows": 18,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NonUnitalStarAlgHom.fst_prod",
     "mathlib:NonUnitalStarAlgHom.mk_coe",
@@ -2094,5 +2085,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/StarAlgHom.lean\",null,null,\"StarAlgHom.snd_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/StarRingHom.lean\",null,null,\"NonUnitalStarRingHom.mk_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/StarRingHom.lean\",null,null,\"StarRingEquiv.symm_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115761,
+      "path": "data/train/p9e/mathlib-000343-0000-42bff448f7e59230.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "42bff448f7e59230599470657a36cd6919e124d0e1bb043160dd29493f0fff32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000344.json b/manifests/batches/mathlib/000344.json
index 62c9dcad58865704edbbb2589318f7400b43d4e4..05138527f517df25afa3c008a705663f8dc104f2 100644
--- a/manifests/batches/mathlib/000344.json
+++ b/manifests/batches/mathlib/000344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000344",
   "batch_fingerprint": "cb3196f8bdb5984db4272ed61aaa5e4beaf2832a8d23e585de9dbde51a6d14ec",
   "evidence": {
@@ -2508,22 +2507,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000344-0000-b1be53c37bb44d88.parquet",
-      "sha256": "b1be53c37bb44d88c75e95dfe6a18fd43f679ee6d8dd53cefb1c6db52f26e660",
-      "bytes": 122674,
-      "rows": 23,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/mathlib-000344-0000-4d72c737b56b43ba.parquet",
-      "sha256": "4d72c737b56b43ba960ce4dc031d10339baf120a647de9ba0dd1972d902789b8",
-      "bytes": 68327,
-      "rows": 9,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUnit.mem_unitary_of_star_mul_self",
     "mathlib:StarAlgebra.adjoin_eq_span",
@@ -2567,5 +2551,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Unitary.lean\",null,null,\"unitary.map_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Unitary.lean\",null,null,\"unitary.spectrum.unitary_conjugate'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Star/Unitary.lean\",null,null,\"unitary.toUnits_comp_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122674,
+      "path": "data/train/pf7/mathlib-000344-0000-b1be53c37bb44d88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b1be53c37bb44d88c75e95dfe6a18fd43f679ee6d8dd53cefb1c6db52f26e660"
+    },
+    {
+      "bytes": 68327,
+      "path": "data/internal_test/pf7/mathlib-000344-0000-4d72c737b56b43ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4d72c737b56b43ba960ce4dc031d10339baf120a647de9ba0dd1972d902789b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000345.json b/manifests/batches/mathlib/000345.json
index 1bf17e6f4b482db2e17b95bb3e33eddc9f48af06..93ab71d14a82598d8f4746fd2b41e5aa4d9a7b9a 100644
--- a/manifests/batches/mathlib/000345.json
+++ b/manifests/batches/mathlib/000345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000345",
   "batch_fingerprint": "3f2f4d81c111a416dc77f1b3f2c05c891c031550e9d1dbb823d1126b7c42b8aa",
   "evidence": {
@@ -2863,29 +2862,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000345-0000-2cab4578c8719467.parquet",
-      "sha256": "2cab4578c87194670ac7b4609bea138091f326f6432a243a24580760475e6a19",
-      "bytes": 116337,
-      "rows": 18,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/dev/mathlib-000345-0000-a205d2911e7475cd.parquet",
-      "sha256": "a205d2911e7475cda6933fa0fa4704bfd713bf46ca36e913043f0d3be7d3a240",
-      "bytes": 41253,
-      "rows": 2,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/mathlib-000345-0000-b46a21816bee6776.parquet",
-      "sha256": "b46a21816bee67767fd18cd22627dd12ecff81e11441a83e5a998cc65ad71a5f",
-      "bytes": 40013,
-      "rows": 1,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SymAlg.mul_comm",
     "mathlib:SymAlg.sym_mul_self",
@@ -2927,5 +2904,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.mul_inl_eq_op_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.snd_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.snd_pow_of_smul_comm'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116337,
+      "path": "data/train/p09/mathlib-000345-0000-2cab4578c8719467.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2cab4578c87194670ac7b4609bea138091f326f6432a243a24580760475e6a19"
+    },
+    {
+      "bytes": 41253,
+      "path": "data/dev/p09/mathlib-000345-0000-a205d2911e7475cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a205d2911e7475cda6933fa0fa4704bfd713bf46ca36e913043f0d3be7d3a240"
+    },
+    {
+      "bytes": 40013,
+      "path": "data/internal_test/p09/mathlib-000345-0000-b46a21816bee6776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b46a21816bee67767fd18cd22627dd12ecff81e11441a83e5a998cc65ad71a5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000346.json b/manifests/batches/mathlib/000346.json
index b052f053683a5490f9765b14cde2382b272432cb..969c96fad2eaeb5689fbf4cdfa3c8d4a16c2cad7 100644
--- a/manifests/batches/mathlib/000346.json
+++ b/manifests/batches/mathlib/000346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000346",
   "batch_fingerprint": "6fb3c3451104b27db80643cc0bd68e8378e7f767ee2212c68d2bab460724ac0f",
   "evidence": {
@@ -1658,15 +1657,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000346-0000-96168f005e65be87.parquet",
-      "sha256": "96168f005e65be871184cb67a21e4980be963d7b627215f2cb9020de4087cdee",
-      "bytes": 70544,
-      "rows": 23,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.trop_inf",
     "mathlib:Finset.untrop_sum",
@@ -1698,5 +1689,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Tropical/BigOperators.lean\",null,null,\"trop_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Tropical/BigOperators.lean\",null,null,\"untrop_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Tropical/BigOperators.lean\",null,null,\"untrop_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70544,
+      "path": "data/train/p93/mathlib-000346-0000-96168f005e65be87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "96168f005e65be871184cb67a21e4980be963d7b627215f2cb9020de4087cdee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000347.json b/manifests/batches/mathlib/000347.json
index f41c0aefa1a5af90c08c2b5d67065e9dcf18d596..f0e3f2f55ce734f6f4109143378a038ee1793de7 100644
--- a/manifests/batches/mathlib/000347.json
+++ b/manifests/batches/mathlib/000347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000347",
   "batch_fingerprint": "4d309a632cbf93e1d9eaf45088211fce68a0b1f8a7776b7b6e2e878856da4a06",
   "evidence": {
@@ -2420,19 +2419,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000347-0000-d7549506c09655fc.parquet",
-      "sha256": "d7549506c09655fc9e1ecdcd5c9b3c8a48b3874e158c770c09e79d49dee4fc2e",
-      "bytes": 61129,
-      "rows": 3,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:VertexAlg.coeff_inj"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Algebra/Vertex/HVertexOperator.lean\",null,null,\"VertexAlg.coeff_inj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61129,
+      "path": "data/train/p46/mathlib-000347-0000-d7549506c09655fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7549506c09655fc9e1ecdcd5c9b3c8a48b3874e158c770c09e79d49dee4fc2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000348.json b/manifests/batches/mathlib/000348.json
index 0de75fd910b5e81628cab37deecb6a870e10c2af..a7cfab8827be81677ee2765368575c44b2202aa0 100644
--- a/manifests/batches/mathlib/000348.json
+++ b/manifests/batches/mathlib/000348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000348",
   "batch_fingerprint": "56a73b8fd6eba27759816dd276fe508512b8fd8fac477f661eb19a147384c8a1",
   "evidence": {
@@ -1668,29 +1667,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000348-0000-ad1aab56647db6e8.parquet",
-      "sha256": "ad1aab56647db6e8bdb23ada41c92aa51184e5176a9f1be1b68bd7a79d82edc0",
-      "bytes": 488905,
-      "rows": 105,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/dev/mathlib-000348-0000-07d210a5327de363.parquet",
-      "sha256": "07d210a5327de363e9a1464e6a0917f195f7279f3d3c582ea6696368dcf9cacd",
-      "bytes": 77981,
-      "rows": 11,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/internal_test/mathlib-000348-0000-cac2c1f5c1f4ed9c.parquet",
-      "sha256": "cac2c1f5c1f4ed9cdcace8313f89891b75c0f12c724fe8f9bc09fc443e52adaa",
-      "bytes": 128933,
-      "rows": 14,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WeierstrassCurve.Affine.C_addPolynomial",
     "mathlib:WeierstrassCurve.Affine.Equation.map",
@@ -1828,5 +1805,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/EllipticCurve/Affine.lean\",null,null,\"WeierstrassCurve.Affine.slope_of_Y_ne_eq_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488905,
+      "path": "data/train/p5f/mathlib-000348-0000-ad1aab56647db6e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "ad1aab56647db6e8bdb23ada41c92aa51184e5176a9f1be1b68bd7a79d82edc0"
+    },
+    {
+      "bytes": 77981,
+      "path": "data/dev/p5f/mathlib-000348-0000-07d210a5327de363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "07d210a5327de363e9a1464e6a0917f195f7279f3d3c582ea6696368dcf9cacd"
+    },
+    {
+      "bytes": 128933,
+      "path": "data/internal_test/p5f/mathlib-000348-0000-cac2c1f5c1f4ed9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cac2c1f5c1f4ed9cdcace8313f89891b75c0f12c724fe8f9bc09fc443e52adaa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000349.json b/manifests/batches/mathlib/000349.json
index 8ba7bb7b4d51d8b2e497e3511fda5f4d5763272d..95594e8d31cc120ac01f5b093cc9272d267f6fc4 100644
--- a/manifests/batches/mathlib/000349.json
+++ b/manifests/batches/mathlib/000349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000349",
   "batch_fingerprint": "a47967f31609fa66bc0107f2ecd5b1481eddfe9861a40f654a20f5cda10a95a4",
   "evidence": {
@@ -2877,29 +2876,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000349-0000-0e5eb0aa7d78f343.parquet",
-      "sha256": "0e5eb0aa7d78f3439bb5d905f9929e9af780956568391c9c81dd15f0a9f3effc",
-      "bytes": 304558,
-      "rows": 84,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/mathlib-000349-0000-a7344b011a3429d9.parquet",
-      "sha256": "a7344b011a3429d98dc1e575c22b74bbc6b69671ed8d5ab3272237faaf497f80",
-      "bytes": 45318,
-      "rows": 3,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/mathlib-000349-0000-983af90b74701787.parquet",
-      "sha256": "983af90b7470178746af92309a857f7cd70a15b424e45e0a663e01942da65d35",
-      "bytes": 49954,
-      "rows": 10,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WeierstrassCurve.Affine.CoordinateRing.mk_\u03a8_sq",
     "mathlib:WeierstrassCurve.Affine.CoordinateRing.mk_\u03c6",
@@ -3051,5 +3028,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Degree.lean\",null,null,\"WeierstrassCurve.natDegree_\u03a8\u2083_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304558,
+      "path": "data/train/p4d/mathlib-000349-0000-0e5eb0aa7d78f343.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "0e5eb0aa7d78f3439bb5d905f9929e9af780956568391c9c81dd15f0a9f3effc"
+    },
+    {
+      "bytes": 45318,
+      "path": "data/dev/p4d/mathlib-000349-0000-a7344b011a3429d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a7344b011a3429d98dc1e575c22b74bbc6b69671ed8d5ab3272237faaf497f80"
+    },
+    {
+      "bytes": 49954,
+      "path": "data/internal_test/p4d/mathlib-000349-0000-983af90b74701787.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "983af90b7470178746af92309a857f7cd70a15b424e45e0a663e01942da65d35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000350.json b/manifests/batches/mathlib/000350.json
index 4a96ef20c03852548f53cd7acb7eca8f47eb7f04..c4b216a94454f9c846279b4ecf70743c83117b14 100644
--- a/manifests/batches/mathlib/000350.json
+++ b/manifests/batches/mathlib/000350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000350",
   "batch_fingerprint": "9831f3c5ff3c34873a28741b9e2dda095c778de354ee87de5788bd5a48f44f20",
   "evidence": {
@@ -10603,7 +10602,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000351.json b/manifests/batches/mathlib/000351.json
index d29832f459aeded5f5d49fc28f206bc556f33697..48eed2b8351ee617f256a1abfdb7a720715f7e2d 100644
--- a/manifests/batches/mathlib/000351.json
+++ b/manifests/batches/mathlib/000351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000351",
   "batch_fingerprint": "79e2ed50b41603309d167f3f4e7ed4df58c679612d89a186f72c7fc84da04ca8",
   "evidence": {
@@ -1396,29 +1395,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000351-0000-13b07ab1ed8ed1af.parquet",
-      "sha256": "13b07ab1ed8ed1afd7e7bec7bce0adb749043036ff14c0a6324544c314a792ac",
-      "bytes": 557862,
-      "rows": 103,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/dev/mathlib-000351-0000-cf4e6036bdc41393.parquet",
-      "sha256": "cf4e6036bdc413939eecb2f83157e5c0479062ca05cacb7bab9c6c0986b3311f",
-      "bytes": 54115,
-      "rows": 5,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/mathlib-000351-0000-619732fd3b2e56ae.parquet",
-      "sha256": "619732fd3b2e56ae015fd611b4fe94e001eaf2abe4cfe867b84c22a9d924285c",
-      "bytes": 86407,
-      "rows": 13,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EllipticCurve.coe_inv_variableChange_\u0394'",
     "mathlib:EllipticCurve.map_injective",
@@ -1546,5 +1523,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean\",null,null,\"WeierstrassCurve.variableChange_c\u2084\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean\",null,null,\"WeierstrassCurve.variableChange_c\u2086\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean\",null,null,\"WeierstrassCurve.variableChange_\u0394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 557862,
+      "path": "data/train/pba/mathlib-000351-0000-13b07ab1ed8ed1af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "13b07ab1ed8ed1afd7e7bec7bce0adb749043036ff14c0a6324544c314a792ac"
+    },
+    {
+      "bytes": 54115,
+      "path": "data/dev/pba/mathlib-000351-0000-cf4e6036bdc41393.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cf4e6036bdc413939eecb2f83157e5c0479062ca05cacb7bab9c6c0986b3311f"
+    },
+    {
+      "bytes": 86407,
+      "path": "data/internal_test/pba/mathlib-000351-0000-619732fd3b2e56ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "619732fd3b2e56ae015fd611b4fe94e001eaf2abe4cfe867b84c22a9d924285c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000352.json b/manifests/batches/mathlib/000352.json
index 8e3da55070f6d11b16cfed054411f40c40fb8d7d..fbf55013fba7ac622eb6de1955f19be7f9cec53e 100644
--- a/manifests/batches/mathlib/000352.json
+++ b/manifests/batches/mathlib/000352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000352",
   "batch_fingerprint": "fd26782eb3895ba3ab3adde3e928e5e03aea2b64fb8cf7630932a25730c7f2fb",
   "evidence": {
@@ -1928,15 +1927,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000352-0000-466adaa995907f52.parquet",
-      "sha256": "466adaa995907f52f1486a9d18b36977436e6195c33caceb82dba41dd7fb965a",
-      "bytes": 164163,
-      "rows": 12,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.genericPoint_eq_bot_of_affine",
     "mathlib:AlgebraicGeometry.germ_injective_of_isIntegral"
@@ -1944,5 +1935,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/FunctionField.lean\",null,null,\"AlgebraicGeometry.genericPoint_eq_bot_of_affine\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/FunctionField.lean\",null,null,\"AlgebraicGeometry.germ_injective_of_isIntegral\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164163,
+      "path": "data/train/pad/mathlib-000352-0000-466adaa995907f52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "466adaa995907f52f1486a9d18b36977436e6195c33caceb82dba41dd7fb965a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000353.json b/manifests/batches/mathlib/000353.json
index 1e1df94dd8ef1b769b691f70ccf764c11f8d3864..e51cc079b44f193b8af06423765792d5ae59e4cd 100644
--- a/manifests/batches/mathlib/000353.json
+++ b/manifests/batches/mathlib/000353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000353",
   "batch_fingerprint": "d5f28087db264860236bb492fdb8f3796d9954f51baf6fa6a2b42ea6e0f107cd",
   "evidence": {
@@ -1142,7 +1141,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000354.json b/manifests/batches/mathlib/000354.json
index c5b7a0c045d542080f1db27ba691d4fae04f7248..5152ac03a95e940cde0d52d55cddd03c6a710336 100644
--- a/manifests/batches/mathlib/000354.json
+++ b/manifests/batches/mathlib/000354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000354",
   "batch_fingerprint": "6b2a9321fe9b0270214bbd42c0aec16b785e6bf7789a7cd6993d48e8daba58e2",
   "evidence": {
@@ -2493,7 +2492,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000355.json b/manifests/batches/mathlib/000355.json
index bd729536af98ffb010e158b7e296e12c67ff9548..fb4f4e65067f36ef5eef9a1877099b1742c0e6b8 100644
--- a/manifests/batches/mathlib/000355.json
+++ b/manifests/batches/mathlib/000355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000355",
   "batch_fingerprint": "b12a4cd47d7d08f1f8f8db99b9a626480c3a5aa58d09781bdeb35cf16ccc7820",
   "evidence": {
@@ -926,15 +925,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000355-0000-dffad6ce9b56ebff.parquet",
-      "sha256": "dffad6ce9b56ebff7c1533e27c9b519e87f3fc3f20a4ba40263437366ea85d45",
-      "bytes": 102228,
-      "rows": 16,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.MorphismProperty.topologically_isStableUnderComposition",
     "mathlib:AlgebraicGeometry.MorphismProperty.topologically_iso_le",
@@ -948,5 +939,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/Constructors.lean\",null,null,\"AlgebraicGeometry.universally_isLocalAtTarget_of_morphismRestrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/FiniteType.lean\",null,null,\"AlgebraicGeometry.locallyOfFiniteType_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/FiniteType.lean\",null,null,\"AlgebraicGeometry.locallyOfFiniteType_of_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102228,
+      "path": "data/train/p41/mathlib-000355-0000-dffad6ce9b56ebff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "dffad6ce9b56ebff7c1533e27c9b519e87f3fc3f20a4ba40263437366ea85d45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000356.json b/manifests/batches/mathlib/000356.json
index 115b323e331d7482a15d4f9281ed932c5a0d9ff3..91a3bd9ad5234d053479fe03bc94ed14c8727754 100644
--- a/manifests/batches/mathlib/000356.json
+++ b/manifests/batches/mathlib/000356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000356",
   "batch_fingerprint": "76770b35f644d63af70eb19e3f8041512163bca31fe59b1765128c8701ee655c",
   "evidence": {
@@ -1852,7 +1851,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000357.json b/manifests/batches/mathlib/000357.json
index 7d74f90ebe1f6043ce48f0c4f5876e70c57adef6..d18a17e5c9618e713c50bb67cd4a49c29fc5c04f 100644
--- a/manifests/batches/mathlib/000357.json
+++ b/manifests/batches/mathlib/000357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000357",
   "batch_fingerprint": "8d2e933e62a24c62f44fa16abc19a690d6831f4b6cfc0bee69498053c7f16ad2",
   "evidence": {
@@ -4886,7 +4885,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000358.json b/manifests/batches/mathlib/000358.json
index 9a39660ab25f724e76fc9542508a2502b73ce36d..6171b2809c91131cda59fd2461705e84c38ac704 100644
--- a/manifests/batches/mathlib/000358.json
+++ b/manifests/batches/mathlib/000358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000358",
   "batch_fingerprint": "a826bc1b0fa4b0023a94fb31baeb8498dd58b2495ac493fc7c5790516645d34d",
   "evidence": {
@@ -166,15 +165,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000358-0000-03fecfcf40d6b2c5.parquet",
-      "sha256": "03fecfcf40d6b2c587b0235b9e17dad127b4d552f0c30005fa72e1fd76d725ee",
-      "bytes": 51331,
-      "rows": 11,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.IsSeparated.isSeparated_eq_diagonal_isClosedImmersion",
     "mathlib:AlgebraicGeometry.IsSeparated.respectsIso",
@@ -186,5 +177,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/Separated.lean\",null,null,\"AlgebraicGeometry.IsSeparated.respectsIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/UniversallyClosed.lean\",null,null,\"AlgebraicGeometry.topologically_isClosedMap_respectsIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/Morphisms/UniversallyClosed.lean\",null,null,\"AlgebraicGeometry.universallyClosed_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51331,
+      "path": "data/train/p75/mathlib-000358-0000-03fecfcf40d6b2c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "03fecfcf40d6b2c587b0235b9e17dad127b4d552f0c30005fa72e1fd76d725ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000359.json b/manifests/batches/mathlib/000359.json
index 7b12255465192bc5eccf073df960b8a11eb3c554..d4d9b0b81b4caa9c723e95cf68122903a6f49567 100644
--- a/manifests/batches/mathlib/000359.json
+++ b/manifests/batches/mathlib/000359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000359",
   "batch_fingerprint": "82dd3cb9a750afc80892d852bd50cfd932e56cc88b32a0811c436179257b943a",
   "evidence": {
@@ -3420,22 +3419,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000359-0000-2d70e6a849143235.parquet",
-      "sha256": "2d70e6a849143235a3bb6605220c659050d30df3a5c417f4826cdd720009204b",
-      "bytes": 484619,
-      "rows": 93,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/mathlib-000359-0000-38c68d1f9c086b27.parquet",
-      "sha256": "38c68d1f9c086b27fbac22b5cca50485a7f03639a7577bbec1b9f6cc35ba9ff3",
-      "bytes": 149041,
-      "rows": 27,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.IsOpenImmersion.app_eq_invApp_app_of_comp_eq",
     "mathlib:AlgebraicGeometry.IsOpenImmersion.app_eq_invApp_app_of_comp_eq_aux",
@@ -3553,5 +3537,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean\",null,null,\"PrimeSpectrum.zeroLocus_subset_zeroLocus_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean\",null,null,\"PrimeSpectrum.zeroLocus_subset_zeroLocus_singleton_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean\",null,null,\"PrimeSpectrum.zeroLocus_vanishingIdeal_eq_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484619,
+      "path": "data/train/p91/mathlib-000359-0000-2d70e6a849143235.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "2d70e6a849143235a3bb6605220c659050d30df3a5c417f4826cdd720009204b"
+    },
+    {
+      "bytes": 149041,
+      "path": "data/internal_test/p91/mathlib-000359-0000-38c68d1f9c086b27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "38c68d1f9c086b27fbac22b5cca50485a7f03639a7577bbec1b9f6cc35ba9ff3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000360.json b/manifests/batches/mathlib/000360.json
index 2d614c629e0d1ab0c47fc87de86f20b1cec791f9..8d3f8bb52557997a3d23bc1a48dd4d1d763dedfe 100644
--- a/manifests/batches/mathlib/000360.json
+++ b/manifests/batches/mathlib/000360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000360",
   "batch_fingerprint": "04454758d5a68dd2fb40ae114a6b70b5f7b41b3d05c122323e07f08a88d108ec",
   "evidence": {
@@ -500,15 +499,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000360-0000-effb24ffb2d9fb20.parquet",
-      "sha256": "effb24ffb2d9fb20a41e570a18c5782a459ca548d6e557e7dc3b29e638deeb1c",
-      "bytes": 64690,
-      "rows": 10,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.Polynomial.isOpenMap_comap_C",
     "mathlib:AlgebraicGeometry.Polynomial.isOpen_imageOfDf",
@@ -520,5 +511,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/IsOpenComapC.lean\",null,null,\"AlgebraicGeometry.Polynomial.isOpen_imageOfDf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/Maximal.lean\",null,null,\"MaximalSpectrum.toPrimeSpectrum_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/PrimeSpectrum/Maximal.lean\",null,null,\"MaximalSpectrum.toPrimeSpectrum_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64690,
+      "path": "data/train/pbf/mathlib-000360-0000-effb24ffb2d9fb20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "effb24ffb2d9fb20a41e570a18c5782a459ca548d6e557e7dc3b29e638deeb1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000361.json b/manifests/batches/mathlib/000361.json
index add004eb1439acb0c772efb2b46438a52edc6523..63aee48384f9b8261a9b75db69986a858ee141b8 100644
--- a/manifests/batches/mathlib/000361.json
+++ b/manifests/batches/mathlib/000361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000361",
   "batch_fingerprint": "e37ea909222abd6781bb06894cbd77ceb0eb2b7f24c24fd7bed52c40d6346f61",
   "evidence": {
@@ -3338,7 +3337,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000362.json b/manifests/batches/mathlib/000362.json
index d4e7d6d2361dc7bfa3507a073d98c491b5e42093..24ec999b514572d5c6cbd8f033303054774f9068 100644
--- a/manifests/batches/mathlib/000362.json
+++ b/manifests/batches/mathlib/000362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000362",
   "batch_fingerprint": "cb8702a09baddf9596c3bdb860251edbd895840f43ed18cb61910f3f9d47e67c",
   "evidence": {
@@ -1447,29 +1446,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000362-0000-d3af5bed3b745a90.parquet",
-      "sha256": "d3af5bed3b745a902f1ab43ac7adb1feb6ee5a108a75a3beb8b95113ba4568c4",
-      "bytes": 318672,
-      "rows": 48,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/mathlib-000362-0000-e05c1c4799d14f1b.parquet",
-      "sha256": "e05c1c4799d14f1b3611cdaa362873c8fa3510c86ed6a71845daad3e357412cf",
-      "bytes": 195340,
-      "rows": 15,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/mathlib-000362-0000-78cbcfcfcc346054.parquet",
-      "sha256": "78cbcfcfcc346054912ef383a19a25ba1259ce326e1bdf40897c48a2cc67aef9",
-      "bytes": 54573,
-      "rows": 5,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.add_mem'",
     "mathlib:AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.mul_mem'",
@@ -1537,5 +1514,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean\",null,null,\"ProjectiveSpectrum.zeroLocus_singleton_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean\",null,null,\"ProjectiveSpectrum.zeroLocus_singleton_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean\",null,null,\"ProjectiveSpectrum.zeroLocus_span\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318672,
+      "path": "data/train/pa6/mathlib-000362-0000-d3af5bed3b745a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "d3af5bed3b745a902f1ab43ac7adb1feb6ee5a108a75a3beb8b95113ba4568c4"
+    },
+    {
+      "bytes": 195340,
+      "path": "data/dev/pa6/mathlib-000362-0000-e05c1c4799d14f1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e05c1c4799d14f1b3611cdaa362873c8fa3510c86ed6a71845daad3e357412cf"
+    },
+    {
+      "bytes": 54573,
+      "path": "data/internal_test/pa6/mathlib-000362-0000-78cbcfcfcc346054.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "78cbcfcfcc346054912ef383a19a25ba1259ce326e1bdf40897c48a2cc67aef9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000363.json b/manifests/batches/mathlib/000363.json
index fdca1e9a0e8129be71b1f611f0cc99563101ccbe..f5500717c8baa96a2b1198883437a2900bef3844 100644
--- a/manifests/batches/mathlib/000363.json
+++ b/manifests/batches/mathlib/000363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000363",
   "batch_fingerprint": "837c658040a26d16a695cbe2c7e43120ff67f6c3a56ceff09f1d8cee3a0bafba",
   "evidence": {
@@ -2509,7 +2508,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000364.json b/manifests/batches/mathlib/000364.json
index a6f758c15781f530854fc9ab2b6b5a803204096f..9a7c66165367c91d12059af28a5c31db08dec976 100644
--- a/manifests/batches/mathlib/000364.json
+++ b/manifests/batches/mathlib/000364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000364",
   "batch_fingerprint": "b97aac863efc1a8718d4ace042de73746bc43c91bb301b6d818da97a0ebadb59",
   "evidence": {
@@ -2965,7 +2964,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000365.json b/manifests/batches/mathlib/000365.json
index ad88b307d087ed0c2f0362cd1e46733317d4571e..063bd932bcd061af7fb238f66e353975737b4491 100644
--- a/manifests/batches/mathlib/000365.json
+++ b/manifests/batches/mathlib/000365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000365",
   "batch_fingerprint": "9775d2766f4ded6f2d10738c4a21768698e88eddb05549bee41b14793cfad2f7",
   "evidence": {
@@ -1292,7 +1291,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000366.json b/manifests/batches/mathlib/000366.json
index 044f631e2f974d9c9c78f9ead51cdd97653d951c..d99a8f53fb8bf2b8a9539ac69a809738977b1209 100644
--- a/manifests/batches/mathlib/000366.json
+++ b/manifests/batches/mathlib/000366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000366",
   "batch_fingerprint": "d93ef7943d8636fe6c0869fccba195dcd525d79cc5601aec6265abc919be32bd",
   "evidence": {
@@ -3764,15 +3763,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000366-0000-23ff83c5f8f1e246.parquet",
-      "sha256": "23ff83c5f8f1e2462aec4a6014379eb039afc19010d050a505518dc5d91a5f0e",
-      "bytes": 85620,
-      "rows": 10,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.AlternatingCofaceMapComplex.d_eq_unop_d",
     "mathlib:AlgebraicTopology.AlternatingCofaceMapComplex.d_squared",
@@ -3788,5 +3779,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean\",null,null,\"AlgebraicTopology.alternatingFaceMapComplex_obj_d\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean\",null,null,\"AlgebraicTopology.inclusionOfMooreComplexMap_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean\",null,null,\"AlgebraicTopology.karoubi_alternatingFaceMapComplex_d\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85620,
+      "path": "data/train/p61/mathlib-000366-0000-23ff83c5f8f1e246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "23ff83c5f8f1e2462aec4a6014379eb039afc19010d050a505518dc5d91a5f0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000367.json b/manifests/batches/mathlib/000367.json
index 76db27d926fc0a084cd5b22ef7b56aa75571f432..52b74e9ab6774055bf7455e8155415971ad6e8c1 100644
--- a/manifests/batches/mathlib/000367.json
+++ b/manifests/batches/mathlib/000367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000367",
   "batch_fingerprint": "e962ec056f8cc6dd64d62c6ae4f938861dbecc512c4ae0220d1ff8429a9b1244",
   "evidence": {
@@ -237,22 +236,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000367-0000-72004ee32f0504ed.parquet",
-      "sha256": "72004ee32f0504ed1f966fdb6e79a5df3abe0c9893de2f7af1517cb632c9b7eb",
-      "bytes": 123107,
-      "rows": 17,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000367-0000-190628db07dfccdb.parquet",
-      "sha256": "190628db07dfccdbdc7d11c5b1ef9de2d33aa6669af9b0719cd7713f8c1a8bda",
-      "bytes": 60332,
-      "rows": 2,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.Compatibility.equivalenceUnitIso_eq",
     "mathlib:AlgebraicTopology.DoldKan.Compatibility.equivalence\u2081CounitIso_eq",
@@ -268,5 +252,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Compatibility.lean\",null,null,\"AlgebraicTopology.DoldKan.Compatibility.equivalence\u2081UnitIso_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Compatibility.lean\",null,null,\"AlgebraicTopology.DoldKan.Compatibility.equivalence\u2082CounitIso_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Compatibility.lean\",null,null,\"AlgebraicTopology.DoldKan.Compatibility.equivalence\u2082UnitIso_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123107,
+      "path": "data/train/p5c/mathlib-000367-0000-72004ee32f0504ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "72004ee32f0504ed1f966fdb6e79a5df3abe0c9893de2f7af1517cb632c9b7eb"
+    },
+    {
+      "bytes": 60332,
+      "path": "data/internal_test/p5c/mathlib-000367-0000-190628db07dfccdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "190628db07dfccdbdc7d11c5b1ef9de2d33aa6669af9b0719cd7713f8c1a8bda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000368.json b/manifests/batches/mathlib/000368.json
index e49f6f5f68bc81e743484cc6ce2e3edd9b8c6ecf..0ac6b1f651c24e78d32e36794794d854223ad2ae 100644
--- a/manifests/batches/mathlib/000368.json
+++ b/manifests/batches/mathlib/000368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000368",
   "batch_fingerprint": "ef91ff440893d5ae63068a269a2990590267d5a530784024f3c48b3b26edc6f6",
   "evidence": {
@@ -1021,28 +1020,29 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:AlgebraicTopology.DoldKan.MorphComponents.postComp_\u03c6",
+    "mathlib:AlgebraicTopology.DoldKan.\u03c3_comp_PInfty"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Decomposition.lean\",null,null,\"AlgebraicTopology.DoldKan.MorphComponents.postComp_\u03c6\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Degeneracies.lean\",null,null,\"AlgebraicTopology.DoldKan.\u03c3_comp_PInfty\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000368-0000-edc37536e329ee55.parquet",
-      "sha256": "edc37536e329ee55e3ff6147ccb8de8d48b5b1bb63530fc6f7f0e1d42a5b84bf",
       "bytes": 60169,
+      "path": "data/train/p9f/mathlib-000368-0000-edc37536e329ee55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
+      "sha256": "edc37536e329ee55e3ff6147ccb8de8d48b5b1bb63530fc6f7f0e1d42a5b84bf"
     },
     {
-      "path": "data/internal_test/mathlib-000368-0000-d3d313f7a31ac25b.parquet",
-      "sha256": "d3d313f7a31ac25bc1e1a3f69eeab6e3edc8b160755e5ae6b7067b726d1a3c3b",
       "bytes": 48787,
+      "path": "data/internal_test/p9f/mathlib-000368-0000-d3d313f7a31ac25b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
+      "sha256": "d3d313f7a31ac25bc1e1a3f69eeab6e3edc8b160755e5ae6b7067b726d1a3c3b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:AlgebraicTopology.DoldKan.MorphComponents.postComp_\u03c6",
-    "mathlib:AlgebraicTopology.DoldKan.\u03c3_comp_PInfty"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Decomposition.lean\",null,null,\"AlgebraicTopology.DoldKan.MorphComponents.postComp_\u03c6\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Degeneracies.lean\",null,null,\"AlgebraicTopology.DoldKan.\u03c3_comp_PInfty\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000369.json b/manifests/batches/mathlib/000369.json
index a1dc702cc79beda448538e48c874f20ee20899a3..d7b5420ed55918851a24272d5db2236848a4817a 100644
--- a/manifests/batches/mathlib/000369.json
+++ b/manifests/batches/mathlib/000369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000369",
   "batch_fingerprint": "aefb5d4c075a585528025961c17a26fec0d72cf113f16a3425a17df1a38e5043",
   "evidence": {
@@ -209,15 +208,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000369-0000-0c52b4a4bed6f9a6.parquet",
-      "sha256": "0c52b4a4bed6f9a6d4852f7f650b3af35a48d94bbf591bf9703fbbe7e00db0e4",
-      "bytes": 137488,
-      "rows": 14,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Idempotents.DoldKan.N\u2082_map_iso\u0393\u2080_hom_app_f",
     "mathlib:CategoryTheory.Idempotents.DoldKan.h\u03b5"
@@ -225,5 +216,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/EquivalencePseudoabelian.lean\",null,null,\"CategoryTheory.Idempotents.DoldKan.N\u2082_map_iso\u0393\u2080_hom_app_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/EquivalencePseudoabelian.lean\",null,null,\"CategoryTheory.Idempotents.DoldKan.h\u03b5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137488,
+      "path": "data/train/p0a/mathlib-000369-0000-0c52b4a4bed6f9a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0c52b4a4bed6f9a6d4852f7f650b3af35a48d94bbf591bf9703fbbe7e00db0e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000370.json b/manifests/batches/mathlib/000370.json
index 2ab804fff3389a7d91c97a9020682655a99067b6..2e6f808252b42a6bd5b86a79537be45c21031c85 100644
--- a/manifests/batches/mathlib/000370.json
+++ b/manifests/batches/mathlib/000370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000370",
   "batch_fingerprint": "e71942c428f757d72869836c1ee6c3ed71f310b5181dccf88aa005423e59c85a",
   "evidence": {
@@ -2152,29 +2151,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000370-0000-88ea7ba8ee29874d.parquet",
-      "sha256": "88ea7ba8ee29874d02489397f1666338ee3fb2fc6a224b26d9f1481577302917",
-      "bytes": 62918,
-      "rows": 8,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/mathlib-000370-0000-dc0ef3493415fd8e.parquet",
-      "sha256": "dc0ef3493415fd8ee82e68d8514d244e90ea043d24bbfab55ff82f6ca2e7218e",
-      "bytes": 59478,
-      "rows": 2,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000370-0000-4f0e1d4fd1e96862.parquet",
-      "sha256": "4f0e1d4fd1e96862ede65d1fc3b8fe63861569c44a4be1e8a5406d56ec6711eb",
-      "bytes": 58182,
-      "rows": 3,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.Is\u03b4\u2080.eq_\u03b4\u2080",
     "mathlib:AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_eq_zero",
@@ -2190,5 +2167,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean\",null,null,\"AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_\u03b4\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean\",null,null,\"AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_epi_on_summand_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean\",null,null,\"AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_on_summand'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62918,
+      "path": "data/train/p69/mathlib-000370-0000-88ea7ba8ee29874d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "88ea7ba8ee29874d02489397f1666338ee3fb2fc6a224b26d9f1481577302917"
+    },
+    {
+      "bytes": 59478,
+      "path": "data/dev/p69/mathlib-000370-0000-dc0ef3493415fd8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc0ef3493415fd8ee82e68d8514d244e90ea043d24bbfab55ff82f6ca2e7218e"
+    },
+    {
+      "bytes": 58182,
+      "path": "data/internal_test/p69/mathlib-000370-0000-4f0e1d4fd1e96862.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4f0e1d4fd1e96862ede65d1fc3b8fe63861569c44a4be1e8a5406d56ec6711eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000371.json b/manifests/batches/mathlib/000371.json
index e87af8445d9cec0d5a25f7f9072525e628b34a7d..ebaf8a0409a098a3f0297d0cd4d60aba74f164a9 100644
--- a/manifests/batches/mathlib/000371.json
+++ b/manifests/batches/mathlib/000371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000371",
   "batch_fingerprint": "120497a74ae798383039e59003fbe1b62414d3ebfe1ca4055bbdb54228cd8fda",
   "evidence": {
@@ -84,29 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000371-0000-d0bc2c7064d20f0d.parquet",
-      "sha256": "d0bc2c7064d20f0d79d071035696264d478abd50bacc2f2f7454fb31f08b005f",
-      "bytes": 396386,
-      "rows": 31,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/train/mathlib-000371-0001-ce6197e15ba5bc25.parquet",
-      "sha256": "ce6197e15ba5bc2557aa25275082b368a48136d132949367610573b40eda7108",
-      "bytes": 120701,
-      "rows": 4,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000371-0000-d6cfd6f8eb0e5563.parquet",
-      "sha256": "d6cfd6f8eb0e5563de0db3e6273e89b9071ffc6512e94f1f4f4a56fce33e49f8",
-      "bytes": 73521,
-      "rows": 3,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_app",
     "mathlib:AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_hom_app",
@@ -128,5 +105,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/GammaCompN.lean\",null,null,\"AlgebraicTopology.DoldKan.N\u2082\u0393\u2082ToKaroubiIso_inv_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/GammaCompN.lean\",null,null,\"AlgebraicTopology.DoldKan.N\u2082\u0393\u2082_inv_app_f_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/GammaCompN.lean\",null,null,\"AlgebraicTopology.DoldKan.whiskerLeft_toKaroubi_N\u2082\u0393\u2082_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396386,
+      "path": "data/train/p8f/mathlib-000371-0000-d0bc2c7064d20f0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d0bc2c7064d20f0d79d071035696264d478abd50bacc2f2f7454fb31f08b005f"
+    },
+    {
+      "bytes": 120701,
+      "path": "data/train/p8f/mathlib-000371-0001-ce6197e15ba5bc25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ce6197e15ba5bc2557aa25275082b368a48136d132949367610573b40eda7108"
+    },
+    {
+      "bytes": 73521,
+      "path": "data/internal_test/p8f/mathlib-000371-0000-d6cfd6f8eb0e5563.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d6cfd6f8eb0e5563de0db3e6273e89b9071ffc6512e94f1f4f4a56fce33e49f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000372.json b/manifests/batches/mathlib/000372.json
index ae0b7b06a228968cbd4caff3c7c67419bd37c107..065ecdf7af0ff189547b008df2b0f82d7c447aeb 100644
--- a/manifests/batches/mathlib/000372.json
+++ b/manifests/batches/mathlib/000372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000372",
   "batch_fingerprint": "6e48cf66588b0280cc99254e37631ed07dea338bf71458a39e65a51b2cfb09e9",
   "evidence": {
@@ -407,15 +406,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000372-0000-f638003726229701.parquet",
-      "sha256": "f63800372622970193a8023eae7ea22dba29d4f225e6dbeb5e755715d4f7aefb",
-      "bytes": 115956,
-      "rows": 15,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.cs_down_0_not_rel_left",
     "mathlib:AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant",
@@ -429,5 +420,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Homotopies.lean\",null,null,\"AlgebraicTopology.DoldKan.h\u03c3'_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Homotopies.lean\",null,null,\"AlgebraicTopology.DoldKan.map_H\u03c3\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/HomotopyEquivalence.lean\",null,null,\"AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115956,
+      "path": "data/train/pc9/mathlib-000372-0000-f638003726229701.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f63800372622970193a8023eae7ea22dba29d4f225e6dbeb5e755715d4f7aefb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000373.json b/manifests/batches/mathlib/000373.json
index 97edf6f4ad52db478cb0598b555377cc3f557418..e51a130b1170c08f1e1850faa9a4ed623be38fc3 100644
--- a/manifests/batches/mathlib/000373.json
+++ b/manifests/batches/mathlib/000373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000373",
   "batch_fingerprint": "9db81285f84146de22869095a67f4bc607ad48fccb027ef29176a81d0bd2f46f",
   "evidence": {
@@ -1163,7 +1162,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000374.json b/manifests/batches/mathlib/000374.json
index b2436bb39fb5d097f4d09d4bc7baad26ce17dece..2459ea7f0d01983c8e9c9e026818cfe250636346 100644
--- a/manifests/batches/mathlib/000374.json
+++ b/manifests/batches/mathlib/000374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000374",
   "batch_fingerprint": "7e29872e6833c5937838e4915d6606cd888acc9be3e42198e05139c0f42dab41",
   "evidence": {
@@ -751,15 +750,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000374-0000-91c6e8967c338ccd.parquet",
-      "sha256": "91c6e8967c338ccd1b1e82f418a38c9adab95de811a3ec9871ab0b2cb04c13d4",
-      "bytes": 74088,
-      "rows": 19,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.PInfty_add_QInfty",
     "mathlib:AlgebraicTopology.DoldKan.PInfty_comp_QInfty",
@@ -785,5 +776,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/PInfty.lean\",null,null,\"AlgebraicTopology.DoldKan.QInfty_idem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/PInfty.lean\",null,null,\"AlgebraicTopology.DoldKan.Q_is_eventually_constant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/PInfty.lean\",null,null,\"AlgebraicTopology.DoldKan.map_PInfty_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74088,
+      "path": "data/train/p71/mathlib-000374-0000-91c6e8967c338ccd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "91c6e8967c338ccd1b1e82f418a38c9adab95de811a3ec9871ab0b2cb04c13d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000375.json b/manifests/batches/mathlib/000375.json
index 5c9b7255b45f84a531dafe3f8368cf3bdfcd0ea6..71bf82e945b77f474423110c7536fb1f42129762 100644
--- a/manifests/batches/mathlib/000375.json
+++ b/manifests/batches/mathlib/000375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000375",
   "batch_fingerprint": "5855a0ccdf36f1e694fe287200410a147f5bcb29397ad8a494bdb6fe59f56d59",
   "evidence": {
@@ -908,15 +907,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000375-0000-776c8b2d4e77f47e.parquet",
-      "sha256": "776c8b2d4e77f47e1695c2b9cb79fa59f0dc0eca9a5c11773c76119c910dbb6b",
-      "bytes": 191515,
-      "rows": 39,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicTopology.DoldKan.P_add_Q",
     "mathlib:AlgebraicTopology.DoldKan.P_idem",
@@ -948,5 +939,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.\u03b9Summand_comp_d_comp_\u03c0Summand_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.\u03c0Summand_comp_cofan_inj_id_comp_PInfty_eq_PInfty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.\u03c3_comp_\u03c0Summand_id_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191515,
+      "path": "data/train/pe9/mathlib-000375-0000-776c8b2d4e77f47e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "776c8b2d4e77f47e1695c2b9cb79fa59f0dc0eca9a5c11773c76119c910dbb6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000376.json b/manifests/batches/mathlib/000376.json
index 5bf1228ad34de51cc60f14dc9c92be50ab2fff92..d80959be0853491516e75c5bb6420b2d68c77b92 100644
--- a/manifests/batches/mathlib/000376.json
+++ b/manifests/batches/mathlib/000376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000376",
   "batch_fingerprint": "0ebff5784e80ae090b903881ac87151b9847c33e223b1bd43cb48279651a7a38",
   "evidence": {
@@ -1318,15 +1317,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000376-0000-e354bc7e887a27a0.parquet",
-      "sha256": "e354bc7e887a27a0277b17c433e418cc033055f9ab1f53ba915f125eb4f1385f",
-      "bytes": 60909,
-      "rows": 4,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_base",
     "mathlib:CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_\u03c0_0"
@@ -1334,5 +1325,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/ExtraDegeneracy.lean\",null,null,\"CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_base\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/ExtraDegeneracy.lean\",null,null,\"CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_\u03c0_0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60909,
+      "path": "data/train/p5b/mathlib-000376-0000-e354bc7e887a27a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e354bc7e887a27a0277b17c433e418cc033055f9ab1f53ba915f125eb4f1385f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000377.json b/manifests/batches/mathlib/000377.json
index 3f6bbfe32b18de4693dda3316ed4b208b227d37a..00c8532cfef390b1db4688707a18b55b50fb78a1 100644
--- a/manifests/batches/mathlib/000377.json
+++ b/manifests/batches/mathlib/000377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000377",
   "batch_fingerprint": "763836d13786867863cb3fb52d62ccb03335892a3304c5a03ee33bf98ee7324f",
   "evidence": {
@@ -285,22 +284,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000377-0000-2938d70c295878f1.parquet",
-      "sha256": "2938d70c295878f1f93f82e493158be73a53c80aa2f28768eb75141ed55b88d2",
-      "bytes": 324231,
-      "rows": 20,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000377-0000-e7af7b0f56914fa6.parquet",
-      "sha256": "e7af7b0f56914fa62493b949105a3c01463a4480f27d5b0e6785835cef444def",
-      "bytes": 39198,
-      "rows": 1,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.Homotopy.apply_one_path",
     "mathlib:ContinuousMap.Homotopy.apply_zero_path",
@@ -318,5 +302,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean\",null,null,\"ContinuousMap.Homotopy.evalAt_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean\",null,null,\"ContinuousMap.Homotopy.heq_path_of_eq_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean\",null,null,\"ContinuousMap.Homotopy.start_path\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324231,
+      "path": "data/train/p65/mathlib-000377-0000-2938d70c295878f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2938d70c295878f1f93f82e493158be73a53c80aa2f28768eb75141ed55b88d2"
+    },
+    {
+      "bytes": 39198,
+      "path": "data/internal_test/p65/mathlib-000377-0000-e7af7b0f56914fa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e7af7b0f56914fa62493b949105a3c01463a4480f27d5b0e6785835cef444def"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000378.json b/manifests/batches/mathlib/000378.json
index 2c7ac1fad277b4b45893bdbf7f1b56a9e5481f15..f60857e1fe519d4ad08aa0b29027ca10e1120759 100644
--- a/manifests/batches/mathlib/000378.json
+++ b/manifests/batches/mathlib/000378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000378",
   "batch_fingerprint": "fda7ac1ce0afd8c1d88c9875e86b9f10eaa4c25360b4dde0f760f5141fa3fca1",
   "evidence": {
@@ -170,28 +169,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:simply_connected_iff_paths_homotopic'",
+    "mathlib:simply_connected_iff_unique_homotopic"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean\",null,null,\"simply_connected_iff_paths_homotopic'\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean\",null,null,\"simply_connected_iff_unique_homotopic\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000378-0000-70d4071f31070147.parquet",
-      "sha256": "70d4071f31070147ebac83dca6906384ec042ebd17aabd9fdeaee55da8b4eca0",
       "bytes": 48442,
+      "path": "data/train/p75/mathlib-000378-0000-70d4071f31070147.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
+      "sha256": "70d4071f31070147ebac83dca6906384ec042ebd17aabd9fdeaee55da8b4eca0"
     },
     {
-      "path": "data/dev/mathlib-000378-0000-ece44099bc9523c3.parquet",
-      "sha256": "ece44099bc9523c3afc2fe79053c3dd1b2351446c7ee62a639d8a957185b6d0b",
       "bytes": 58961,
+      "path": "data/dev/p75/mathlib-000378-0000-ece44099bc9523c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
+      "sha256": "ece44099bc9523c3afc2fe79053c3dd1b2351446c7ee62a639d8a957185b6d0b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:simply_connected_iff_paths_homotopic'",
-    "mathlib:simply_connected_iff_unique_homotopic"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean\",null,null,\"simply_connected_iff_paths_homotopic'\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean\",null,null,\"simply_connected_iff_unique_homotopic\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000379.json b/manifests/batches/mathlib/000379.json
index 932f8335af13fe497e904cdd691ccbb045b383d2..13343497e1189a64a8356e37e3d76ba72316a409 100644
--- a/manifests/batches/mathlib/000379.json
+++ b/manifests/batches/mathlib/000379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000379",
   "batch_fingerprint": "4095620539c909d1340bb72621204eb0bd866257cf101f2591c27ef8664858a6",
   "evidence": {
@@ -117,19 +116,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-000379-0000-6b536a09f2c43efb.parquet",
-      "sha256": "6b536a09f2c43efb72ff3e6eb2eb69b169d8544edc795889ecc2ba5395995875",
-      "bytes": 67276,
-      "rows": 6,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SSet.quasicategory_of_filler"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/Quasicategory.lean\",null,null,\"SSet.quasicategory_of_filler\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67276,
+      "path": "data/internal_test/p67/mathlib-000379-0000-6b536a09f2c43efb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6b536a09f2c43efb72ff3e6eb2eb69b169d8544edc795889ecc2ba5395995875"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000380.json b/manifests/batches/mathlib/000380.json
index 8d15a6475cafc0f967286260f46b74c28a0aa240..8d93408d2b334fb975d1cc1ab6f964bd738e96cb 100644
--- a/manifests/batches/mathlib/000380.json
+++ b/manifests/batches/mathlib/000380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000380",
   "batch_fingerprint": "525bacae335451c8144f6716c07b5904114ba1a63e2ecb125921eb908835a103",
   "evidence": {
@@ -2843,22 +2842,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000380-0000-dd65a45ecd449114.parquet",
-      "sha256": "dd65a45ecd4491145a340f1716e74737304df82747167d37638433083f89747c",
-      "bytes": 161355,
-      "rows": 41,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000380-0000-f3f681da3474a20b.parquet",
-      "sha256": "f3f681da3474a20b3c92c7c419f6dc960e432c26ae34dcb8673168060cd89d3a",
-      "bytes": 46035,
-      "rows": 3,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.SimplicialCategory.sHomWhiskerLeft_comp",
     "mathlib:CategoryTheory.SimplicialCategory.sHomWhiskerLeft_id",
@@ -2898,5 +2882,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SimplicialCategory/Basic.lean\",null,null,\"CategoryTheory.SimplicialCategory.sHomWhiskerLeft_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SimplicialCategory/Basic.lean\",null,null,\"CategoryTheory.SimplicialCategory.sHomWhiskerRight_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SimplicialCategory/Basic.lean\",null,null,\"CategoryTheory.SimplicialCategory.sHomWhiskerRight_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161355,
+      "path": "data/train/p42/mathlib-000380-0000-dd65a45ecd449114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "dd65a45ecd4491145a340f1716e74737304df82747167d37638433083f89747c"
+    },
+    {
+      "bytes": 46035,
+      "path": "data/internal_test/p42/mathlib-000380-0000-f3f681da3474a20b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f3f681da3474a20b3c92c7c419f6dc960e432c26ae34dcb8673168060cd89d3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000381.json b/manifests/batches/mathlib/000381.json
index 68b370dcf9066d077bb93514b46cb527afb3a454..734d6a773bb24d2ab27f06e2fc95b1157602b0ef 100644
--- a/manifests/batches/mathlib/000381.json
+++ b/manifests/batches/mathlib/000381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000381",
   "batch_fingerprint": "76b6a526e538c084b253ab7dca9920f6c70a134416c54d53cb4017103c56cb17",
   "evidence": {
@@ -1768,19 +1767,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000381-0000-7cd49162bd803db7.parquet",
-      "sha256": "7cd49162bd803db7fa93b0eb0f58cc9e04c95b898ffde78f7ef4ea68289181db",
-      "bytes": 30558,
-      "rows": 1,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SSet.standardSimplex.map_apply"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SimplicialSet.lean\",null,null,\"SSet.standardSimplex.map_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 30558,
+      "path": "data/train/pef/mathlib-000381-0000-7cd49162bd803db7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7cd49162bd803db7fa93b0eb0f58cc9e04c95b898ffde78f7ef4ea68289181db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000382.json b/manifests/batches/mathlib/000382.json
index 22c04889625fa1a05a7b8fac2cd8ec91e9dd3dc2..15a38dda675f01194152247f7edee036b15c1463 100644
--- a/manifests/batches/mathlib/000382.json
+++ b/manifests/batches/mathlib/000382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000382",
   "batch_fingerprint": "2ec341796355338727a3f3a7b49be62f3ab298d5f0b23f40e127add12db88e87",
   "evidence": {
@@ -1117,15 +1116,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000382-0000-3cadbce2db2651ca.parquet",
-      "sha256": "3cadbce2db2651ca5e153739716286ebb0fa19a191ff5caf8b77fc3588365fe4",
-      "bytes": 72094,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimplicialObject.Split.cofan_inj_naturality_symm",
     "mathlib:SimplicialObject.Split.congr_F",
@@ -1143,5 +1134,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.cofan_inj_epi_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.cofan_inj_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/SplitSimplicialObject.lean\",null,null,\"SimplicialObject.Splitting.\u03b9_desc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72094,
+      "path": "data/train/p9a/mathlib-000382-0000-3cadbce2db2651ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3cadbce2db2651ca5e153739716286ebb0fa19a191ff5caf8b77fc3588365fe4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000383.json b/manifests/batches/mathlib/000383.json
index b5f7dd8bc5deb8fb79d278ea05a6caafe365e0cf..c4ba783190a4ed64dc924b520e69f9d913a6dcd9 100644
--- a/manifests/batches/mathlib/000383.json
+++ b/manifests/batches/mathlib/000383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000383",
   "batch_fingerprint": "77d1f905727678315ef08981f8a25519871a499a5e581ccb992fedd9590c8cc3",
   "evidence": {
@@ -4041,36 +4040,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000383-0000-2ceda49adc2caaad.parquet",
-      "sha256": "2ceda49adc2caaad356d2f08347b03519bb462c735df9b073462434e63c45fff",
-      "bytes": 647721,
-      "rows": 69,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/train/mathlib-000383-0001-1445f732338671b1.parquet",
-      "sha256": "1445f732338671b16b1d239154e89f8f67e22420b2d078ffb9cdb4acacc0b1bf",
-      "bytes": 119033,
-      "rows": 13,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/dev/mathlib-000383-0000-15194a3050515209.parquet",
-      "sha256": "15194a3050515209ac3f6acd0aa849e4b5b80018c29a1fa63e285a7a8f11f635",
-      "bytes": 134878,
-      "rows": 8,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000383-0000-b3540537b075e946.parquet",
-      "sha256": "b3540537b075e94698c0f39a1fa7012b5451ec6dfbd0902198c594d76d7979e1",
-      "bytes": 242894,
-      "rows": 26,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AnalyticAt.sub",
     "mathlib:AnalyticOn.continuous",
@@ -4166,5 +4136,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Basic.lean\",null,null,\"HasFPowerSeriesOnBall.tendstoUniformlyOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Basic.lean\",null,null,\"hasFPowerSeriesAt_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Basic.lean\",null,null,\"isOpen_analyticAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 647721,
+      "path": "data/train/p9e/mathlib-000383-0000-2ceda49adc2caaad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "2ceda49adc2caaad356d2f08347b03519bb462c735df9b073462434e63c45fff"
+    },
+    {
+      "bytes": 119033,
+      "path": "data/train/p9e/mathlib-000383-0001-1445f732338671b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1445f732338671b16b1d239154e89f8f67e22420b2d078ffb9cdb4acacc0b1bf"
+    },
+    {
+      "bytes": 134878,
+      "path": "data/dev/p9e/mathlib-000383-0000-15194a3050515209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "15194a3050515209ac3f6acd0aa849e4b5b80018c29a1fa63e285a7a8f11f635"
+    },
+    {
+      "bytes": 242894,
+      "path": "data/internal_test/p9e/mathlib-000383-0000-b3540537b075e946.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b3540537b075e94698c0f39a1fa7012b5451ec6dfbd0902198c594d76d7979e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000384.json b/manifests/batches/mathlib/000384.json
index 542a0a639a6d03ef421418be592e513450b5d378..55f820984f3e89709e35c7cc7ee664ff5b1766ad 100644
--- a/manifests/batches/mathlib/000384.json
+++ b/manifests/batches/mathlib/000384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000384",
   "batch_fingerprint": "82386f2c62faafe4778a8299528a108edb1a3f38eb9dedfaef33f06ee4676f25",
   "evidence": {
@@ -5666,22 +5665,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000384-0000-725eab1d20285889.parquet",
-      "sha256": "725eab1d20285889136b2d4c8873a5bbca894d557d4ca072dfa6f6997600e026",
-      "bytes": 449713,
-      "rows": 43,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000384-0000-f9043475e74120a0.parquet",
-      "sha256": "f9043475e74120a0a6d2fc8f9a211078f11afd6e28cd08f7a0aa45add280be6b",
-      "bytes": 58473,
-      "rows": 2,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CPolynomialAt.sub",
     "mathlib:CPolynomialOn.continuous",
@@ -5723,5 +5707,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/CPolynomial.lean\",null,null,\"HasFiniteFPowerSeriesOnBall.neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/CPolynomial.lean\",null,null,\"HasFiniteFPowerSeriesOnBall.sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/CPolynomial.lean\",null,null,\"isOpen_cPolynomialAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449713,
+      "path": "data/train/p75/mathlib-000384-0000-725eab1d20285889.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "725eab1d20285889136b2d4c8873a5bbca894d557d4ca072dfa6f6997600e026"
+    },
+    {
+      "bytes": 58473,
+      "path": "data/internal_test/p75/mathlib-000384-0000-f9043475e74120a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f9043475e74120a0a6d2fc8f9a211078f11afd6e28cd08f7a0aa45add280be6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000385.json b/manifests/batches/mathlib/000385.json
index 0ea0dcd5d73d7003f55f887f198fdd367b7001fd..0a3cbb1adf5c99af15f5fc859a79c1cb085a15ca 100644
--- a/manifests/batches/mathlib/000385.json
+++ b/manifests/batches/mathlib/000385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000385",
   "batch_fingerprint": "0a611ee6c072abbff0a56e294ca2e250274127f303d78295943da7affe2c87db",
   "evidence": {
@@ -2541,22 +2540,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000385-0000-55744ee39f6137c8.parquet",
-      "sha256": "55744ee39f6137c8a612f63728ae813a842f899124698d9a70e5fc39a9fe57f4",
-      "bytes": 107722,
-      "rows": 11,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000385-0000-e94067783a7ce57c.parquet",
-      "sha256": "e94067783a7ce57c0b56bb2f889f36884a1dd497574de47341a15d868fefec83",
-      "bytes": 41109,
-      "rows": 3,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AnalyticAt.div",
     "mathlib:AnalyticAt.prod",
@@ -2576,5 +2560,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Inverse.lean\",null,null,\"FormalMultilinearSeries.leftInv_coeff_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Inverse.lean\",null,null,\"FormalMultilinearSeries.rightInv_coeff_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Inverse.lean\",null,null,\"FormalMultilinearSeries.rightInv_coeff_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107722,
+      "path": "data/train/pc3/mathlib-000385-0000-55744ee39f6137c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "55744ee39f6137c8a612f63728ae813a842f899124698d9a70e5fc39a9fe57f4"
+    },
+    {
+      "bytes": 41109,
+      "path": "data/internal_test/pc3/mathlib-000385-0000-e94067783a7ce57c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e94067783a7ce57c0b56bb2f889f36884a1dd497574de47341a15d868fefec83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000386.json b/manifests/batches/mathlib/000386.json
index 62dc4e6cf6939d181ce925183fd6dfe1f5e016f3..c9bb7c8ba656ce964907dc2c235e49ff2a20fb8b 100644
--- a/manifests/batches/mathlib/000386.json
+++ b/manifests/batches/mathlib/000386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000386",
   "batch_fingerprint": "d3aef39928e40ae626a6988bf8257bd1ca4522a25d001e7f29b5bcf57849d4a4",
   "evidence": {
@@ -1629,15 +1628,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000386-0000-3391c8151c167a19.parquet",
-      "sha256": "3391c8151c167a19f5947b4fc09db051db615f1430ad108197aca1dd53698e7a",
-      "bytes": 187972,
-      "rows": 13,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AnalyticAt.eventually_eq_or_eventually_ne",
     "mathlib:AnalyticAt.frequently_eq_iff_eventually_eq",
@@ -1655,5 +1646,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/IsolatedZeros.lean\",null,null,\"HasFPowerSeriesAt.locally_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/IsolatedZeros.lean\",null,null,\"HasFPowerSeriesAt.locally_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/IsolatedZeros.lean\",null,null,\"HasSum.hasSum_at_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187972,
+      "path": "data/train/p37/mathlib-000386-0000-3391c8151c167a19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3391c8151c167a19f5947b4fc09db051db615f1430ad108197aca1dd53698e7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000387.json b/manifests/batches/mathlib/000387.json
index c4fbc56db20b9eea92660bcc710a590951e7dd52..041e3e5ce527cef15b4bb1419fe4301aeeea27e4 100644
--- a/manifests/batches/mathlib/000387.json
+++ b/manifests/batches/mathlib/000387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000387",
   "batch_fingerprint": "7dd36551eb3d0faef250df6dde625ba8715406b96c3b2305e2b6430a2497fb4d",
   "evidence": {
@@ -1685,22 +1684,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000387-0000-885deebdf514eaa1.parquet",
-      "sha256": "885deebdf514eaa1eb269e31c3d7e4cf7b067d05c18f46b476151d50c735a103",
-      "bytes": 88598,
-      "rows": 16,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/mathlib-000387-0000-53c46a39a026e3d3.parquet",
-      "sha256": "53c46a39a026e3d3b165765f39a9c64a93eab08d3515ba979ec7d4e0ec31487a",
-      "bytes": 38384,
-      "rows": 2,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AnalyticAt.meromorphicAt",
     "mathlib:MeromorphicAt.inv_iff",
@@ -1722,5 +1706,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Meromorphic.lean\",null,null,\"MeromorphicOn.congr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Meromorphic.lean\",null,null,\"MeromorphicOn.inv_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Analytic/Meromorphic.lean\",null,null,\"MeromorphicOn.neg_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88598,
+      "path": "data/train/pb7/mathlib-000387-0000-885deebdf514eaa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "885deebdf514eaa1eb269e31c3d7e4cf7b067d05c18f46b476151d50c735a103"
+    },
+    {
+      "bytes": 38384,
+      "path": "data/dev/pb7/mathlib-000387-0000-53c46a39a026e3d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "53c46a39a026e3d3b165765f39a9c64a93eab08d3515ba979ec7d4e0ec31487a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000388.json b/manifests/batches/mathlib/000388.json
index da810a2a74d5e5a62a024a0319b35fc7671d05ae..075b14c352364ed18c0787d724891d4e2296b8a0 100644
--- a/manifests/batches/mathlib/000388.json
+++ b/manifests/batches/mathlib/000388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000388",
   "batch_fingerprint": "a2cba659533eb2f7e16a7efc23ac105df85f6caca474424a4910f5fd55abe78d",
   "evidence": {
@@ -646,7 +645,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000389.json b/manifests/batches/mathlib/000389.json
index fd3d8e243e9c4c3e37352346ddeb553c4231da07..4342deb0f49350bea3070be6405077ef1dd4a200 100644
--- a/manifests/batches/mathlib/000389.json
+++ b/manifests/batches/mathlib/000389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000389",
   "batch_fingerprint": "18f295c36cfaa93bf917dc32407778ce7e3656f0d8aa0e2bd079eb7bc0525523",
   "evidence": {
@@ -7612,29 +7611,7 @@
     "validation_rejected_proofs": 23,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000389-0000-dbd7c39063b43816.parquet",
-      "sha256": "dbd7c39063b4381670c20d20e6ed66dd2e894fa8c401886a27de1135a0f24239",
-      "bytes": 665520,
-      "rows": 170,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/mathlib-000389-0000-720130770f537ec7.parquet",
-      "sha256": "720130770f537ec72fd9cd68f3cae04f60e72492644a5a591693a113ae4fab6d",
-      "bytes": 79787,
-      "rows": 16,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000389-0000-a628b03b2e4f3a41.parquet",
-      "sha256": "a628b03b2e4f3a418c97bfe27e68f5444cbcc9d186a1b869eb7cd3150b2f762f",
-      "bytes": 155364,
-      "rows": 33,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsBigO.eq_zero_of_norm_pow_within",
     "mathlib:Asymptotics.IsBigO.exists_mem_basis",
@@ -7860,5 +7837,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Asymptotics/Asymptotics.lean\",null,null,\"PartialHomeomorph.isBigOWith_congr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Asymptotics/Asymptotics.lean\",null,null,\"PartialHomeomorph.isBigO_congr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Asymptotics/Asymptotics.lean\",null,null,\"PartialHomeomorph.isLittleO_congr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 665520,
+      "path": "data/train/pad/mathlib-000389-0000-dbd7c39063b43816.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 170,
+      "sha256": "dbd7c39063b4381670c20d20e6ed66dd2e894fa8c401886a27de1135a0f24239"
+    },
+    {
+      "bytes": 79787,
+      "path": "data/dev/pad/mathlib-000389-0000-720130770f537ec7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "720130770f537ec72fd9cd68f3cae04f60e72492644a5a591693a113ae4fab6d"
+    },
+    {
+      "bytes": 155364,
+      "path": "data/internal_test/pad/mathlib-000389-0000-a628b03b2e4f3a41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a628b03b2e4f3a418c97bfe27e68f5444cbcc9d186a1b869eb7cd3150b2f762f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000390.json b/manifests/batches/mathlib/000390.json
index 6d2623861aa6cc856156331cf1d8019258318050..bb9455bb8e287141bcbc779b9c5576b34691b6fb 100644
--- a/manifests/batches/mathlib/000390.json
+++ b/manifests/batches/mathlib/000390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000390",
   "batch_fingerprint": "51a731e3d7ebb30350dbdac17675d53804a2c550ca552426ee69b8fdaa59c11b",
   "evidence": {
@@ -1242,29 +1241,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000390-0000-cf7a6dd7208b718e.parquet",
-      "sha256": "cf7a6dd7208b718e4af134fb6a3c4824a746bdb154b6f83b77d9bc7e684611b4",
-      "bytes": 191714,
-      "rows": 43,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/mathlib-000390-0000-7e4a65c86287c933.parquet",
-      "sha256": "7e4a65c86287c933e782b1f667f3aa8267e39d08264f7aa9b00ca5f0dbf8392d",
-      "bytes": 50919,
-      "rows": 1,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000390-0000-e711c546ed387489.parquet",
-      "sha256": "e711c546ed38748933a477ee2f9525e3d35dffa5f11428fbdd0c1ec80ca7cc1d",
-      "bytes": 46851,
-      "rows": 1,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsBigO.trans_tendsto_norm_atTop",
     "mathlib:Asymptotics.SuperpolynomialDecay.add",
@@ -1312,5 +1289,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean\",null,null,\"Asymptotics.superpolynomialDecay_param_mul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean\",null,null,\"Asymptotics.superpolynomialDecay_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191714,
+      "path": "data/train/p62/mathlib-000390-0000-cf7a6dd7208b718e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "cf7a6dd7208b718e4af134fb6a3c4824a746bdb154b6f83b77d9bc7e684611b4"
+    },
+    {
+      "bytes": 50919,
+      "path": "data/dev/p62/mathlib-000390-0000-7e4a65c86287c933.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7e4a65c86287c933e782b1f667f3aa8267e39d08264f7aa9b00ca5f0dbf8392d"
+    },
+    {
+      "bytes": 46851,
+      "path": "data/internal_test/p62/mathlib-000390-0000-e711c546ed387489.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e711c546ed38748933a477ee2f9525e3d35dffa5f11428fbdd0c1ec80ca7cc1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000391.json b/manifests/batches/mathlib/000391.json
index 30b84ed69a8de8ace1c1fdb85f318eac5d4e4f8c..5e3297eab9101fc04f9a8c4f2c95a2a7533fe52e 100644
--- a/manifests/batches/mathlib/000391.json
+++ b/manifests/batches/mathlib/000391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000391",
   "batch_fingerprint": "78958a209a09340051581418e302e4003bd90f1421e956bda2af0de71c7b41cc",
   "evidence": {
@@ -4691,22 +4690,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000391-0000-02cc0b22c20458c0.parquet",
-      "sha256": "02cc0b22c20458c0a34ec14e5998e24ca80077238429bd9677684c8bd87ac1cd",
-      "bytes": 226333,
-      "rows": 63,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/mathlib-000391-0000-3d16c3db45c69409.parquet",
-      "sha256": "3d16c3db45c694091adfd768bf388ff8bb9a55ce306d94a70f0e3d2eb8fb2d25",
-      "bytes": 62784,
-      "rows": 8,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsTheta.div",
     "mathlib:Asymptotics.IsTheta.isBoundedUnder_le_iff",
@@ -4778,5 +4762,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoundedVariation.lean\",null,null,\"variationOnFromTo.nonneg_of_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoundedVariation.lean\",null,null,\"variationOnFromTo.nonpos_of_ge\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoundedVariation.lean\",null,null,\"variationOnFromTo.self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226333,
+      "path": "data/train/p30/mathlib-000391-0000-02cc0b22c20458c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "02cc0b22c20458c0a34ec14e5998e24ca80077238429bd9677684c8bd87ac1cd"
+    },
+    {
+      "bytes": 62784,
+      "path": "data/dev/p30/mathlib-000391-0000-3d16c3db45c69409.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3d16c3db45c694091adfd768bf388ff8bb9a55ce306d94a70f0e3d2eb8fb2d25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000392.json b/manifests/batches/mathlib/000392.json
index ad8530cdcf919f2117d4b7d60663904a9b83cf47..c6d7fe6916d3266fa24d87b77ae8fb0e2c51ed2c 100644
--- a/manifests/batches/mathlib/000392.json
+++ b/manifests/batches/mathlib/000392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000392",
   "batch_fingerprint": "cfabed6a79885e36d49970b0090165bc3306be93fe20c9a8dffb703de21a43ed",
   "evidence": {
@@ -3256,29 +3255,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000392-0000-5bf611c5c4056281.parquet",
-      "sha256": "5bf611c5c4056281b61c1a57ef3b88c872e5cacaf139a004f5fb2c1a0ed41b23",
-      "bytes": 261126,
-      "rows": 60,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/mathlib-000392-0000-2afd5e1d99081e75.parquet",
-      "sha256": "2afd5e1d99081e756c4f1b9cbbb6b3306452e59f8cfa7d4883c87e04c3422546",
-      "bytes": 101778,
-      "rows": 13,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000392-0000-74680205efbbecf9.parquet",
-      "sha256": "74680205efbbecf94c2b4a0098faf0f993ca4b0f3f19d6a65910011998f2c50f",
-      "bytes": 60765,
-      "rows": 3,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.Box.diam_Icc_le_of_distortion_le",
     "mathlib:BoxIntegral.Box.disjoint_withBotCoe",
@@ -3354,5 +3331,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Box/Basic.lean\",null,null,\"BoxIntegral.Box.not_disjoint_coe_iff_nonempty_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Box/Basic.lean\",null,null,\"BoxIntegral.Box.withBotCoe_inj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261126,
+      "path": "data/train/paa/mathlib-000392-0000-5bf611c5c4056281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "5bf611c5c4056281b61c1a57ef3b88c872e5cacaf139a004f5fb2c1a0ed41b23"
+    },
+    {
+      "bytes": 101778,
+      "path": "data/dev/paa/mathlib-000392-0000-2afd5e1d99081e75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2afd5e1d99081e756c4f1b9cbbb6b3306452e59f8cfa7d4883c87e04c3422546"
+    },
+    {
+      "bytes": 60765,
+      "path": "data/internal_test/paa/mathlib-000392-0000-74680205efbbecf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "74680205efbbecf94c2b4a0098faf0f993ca4b0f3f19d6a65910011998f2c50f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000393.json b/manifests/batches/mathlib/000393.json
index 27cfad2d823ea76f4a8e400aeba9df3e4237f4c9..c05f511ff6e7cc3f65ac4427a8805651fa3d577f 100644
--- a/manifests/batches/mathlib/000393.json
+++ b/manifests/batches/mathlib/000393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000393",
   "batch_fingerprint": "15ae5196176d4b7bec31f0c2ec6af74eb64fb38b1c78b6a639ae223afc573c42",
   "evidence": {
@@ -1197,15 +1196,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000393-0000-15301e4fea585890.parquet",
-      "sha256": "15301e4fea585890737616b612d42d9d1d4d99af311b14b5d0714676ee5f505e",
-      "bytes": 114495,
-      "rows": 17,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.Box.disjoint_splitCenterBox",
     "mathlib:BoxIntegral.Box.iUnion_coe_splitCenterBox",
@@ -1219,5 +1210,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean\",null,null,\"BoxIntegral.Box.mem_splitCenterBox\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean\",null,null,\"BoxIntegral.Box.upper_sub_lower_splitCenterBox\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean\",null,null,\"BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114495,
+      "path": "data/train/paf/mathlib-000393-0000-15301e4fea585890.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "15301e4fea585890737616b612d42d9d1d4d99af311b14b5d0714676ee5f505e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000394.json b/manifests/batches/mathlib/000394.json
index 3087532da5e320b582e9fd787ecfbaa65cff26df..3677e9ec20fd394f4fcc9aeb9f6bb522c4ed5f2d 100644
--- a/manifests/batches/mathlib/000394.json
+++ b/manifests/batches/mathlib/000394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000394",
   "batch_fingerprint": "a858c761956389dbdb685e2d56d96bfd69bc1c09f77d6fcbd8206468f0212b85",
   "evidence": {
@@ -1746,15 +1745,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000394-0000-a5dfaed5f9800a80.parquet",
-      "sha256": "a5dfaed5f9800a80cd98493cf59f294d734adb5de19b3c74fc94c0ee809eb616",
-      "bytes": 73358,
-      "rows": 7,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.BoxAdditiveMap.map_split_add",
     "mathlib:BoxIntegral.HasIntegral.congr_ae",
@@ -1764,5 +1755,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Integrability.lean\",null,null,\"BoxIntegral.HasIntegral.congr_ae\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Integrability.lean\",null,null,\"MeasureTheory.ContinuousOn.hasBoxIntegral\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Partition/Additive.lean\",null,null,\"BoxIntegral.BoxAdditiveMap.map_split_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73358,
+      "path": "data/train/p25/mathlib-000394-0000-a5dfaed5f9800a80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a5dfaed5f9800a80cd98493cf59f294d734adb5de19b3c74fc94c0ee809eb616"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000395.json b/manifests/batches/mathlib/000395.json
index 7db3b829bbbd6d9b94ec62f03a144ced1098522b..2aa435b4b878624d1d58685ed8f5a5bc901a0eea 100644
--- a/manifests/batches/mathlib/000395.json
+++ b/manifests/batches/mathlib/000395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000395",
   "batch_fingerprint": "45353d4e922fb7d49577aae1daf368af2341563b1899c3031f82168695ed50e3",
   "evidence": {
@@ -2857,29 +2856,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000395-0000-93bd7e87017f661d.parquet",
-      "sha256": "93bd7e87017f661df76b8163c91d4ef55285bcb044213ca3e1942afc39687d46",
-      "bytes": 203446,
-      "rows": 59,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/mathlib-000395-0000-39c8fa9728a772e2.parquet",
-      "sha256": "39c8fa9728a772e2c8c0d166678fb8f256d4558b38c216aaeda58e54a9536f96",
-      "bytes": 31506,
-      "rows": 1,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000395-0000-494e0ea2519534de.parquet",
-      "sha256": "494e0ea2519534deb462492e17fdac4ae497c4fb5aa67ca6b0f4a86340252c38",
-      "bytes": 52424,
-      "rows": 4,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.IntegrationParams.MemBaseSet.unionComplToSubordinate",
     "mathlib:BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eq",
@@ -2959,5 +2936,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Partition/Filter.lean\",null,null,\"BoxIntegral.IntegrationParams.toFilteriUnion_congr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203446,
+      "path": "data/train/p9c/mathlib-000395-0000-93bd7e87017f661d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "93bd7e87017f661df76b8163c91d4ef55285bcb044213ca3e1942afc39687d46"
+    },
+    {
+      "bytes": 31506,
+      "path": "data/dev/p9c/mathlib-000395-0000-39c8fa9728a772e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "39c8fa9728a772e2c8c0d166678fb8f256d4558b38c216aaeda58e54a9536f96"
+    },
+    {
+      "bytes": 52424,
+      "path": "data/internal_test/p9c/mathlib-000395-0000-494e0ea2519534de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "494e0ea2519534deb462492e17fdac4ae497c4fb5aa67ca6b0f4a86340252c38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000396.json b/manifests/batches/mathlib/000396.json
index 60fb785e0774cdb0621a96e2f1d7c5bf91bd5814..a1ecfb6fecec9c40673a04e1b4d278ccd69a99bc 100644
--- a/manifests/batches/mathlib/000396.json
+++ b/manifests/batches/mathlib/000396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000396",
   "batch_fingerprint": "d802e0ed23a06f8a617310a1b5f3b9d7a3bcfdc4820e437879dc37a9601c2263",
   "evidence": {
@@ -854,29 +853,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000396-0000-4fea5632552bdb30.parquet",
-      "sha256": "4fea5632552bdb30f6cd9b545998efe1eb49a6ec8024d051975389f92565b708",
-      "bytes": 168439,
-      "rows": 47,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/dev/mathlib-000396-0000-71d90360a86a85ab.parquet",
-      "sha256": "71d90360a86a85abf044cc269c6350555c2060eca5e2afcc029b1f1121c7fb45",
-      "bytes": 42318,
-      "rows": 1,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000396-0000-e00d853decdeedac.parquet",
-      "sha256": "e00d853decdeedacd6d9bb41978fd138d5aa1a5537fa8b63666cc62f64cb69f3",
-      "bytes": 67985,
-      "rows": 8,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.Box.coe_ae_eq_Icc",
     "mathlib:BoxIntegral.Box.coe_splitLower",
@@ -936,5 +913,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Partition/Split.lean\",null,null,\"BoxIntegral.Prepartition.restrict_split\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Partition/Split.lean\",null,null,\"BoxIntegral.Prepartition.sum_split_boxes\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168439,
+      "path": "data/train/p0a/mathlib-000396-0000-4fea5632552bdb30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "4fea5632552bdb30f6cd9b545998efe1eb49a6ec8024d051975389f92565b708"
+    },
+    {
+      "bytes": 42318,
+      "path": "data/dev/p0a/mathlib-000396-0000-71d90360a86a85ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "71d90360a86a85abf044cc269c6350555c2060eca5e2afcc029b1f1121c7fb45"
+    },
+    {
+      "bytes": 67985,
+      "path": "data/internal_test/p0a/mathlib-000396-0000-e00d853decdeedac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e00d853decdeedacd6d9bb41978fd138d5aa1a5537fa8b63666cc62f64cb69f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000397.json b/manifests/batches/mathlib/000397.json
index 824656aaad2398553e17c5a9b4db1772ab161bf0..8ddeea561eec51ab2fd070d048e325270143026a 100644
--- a/manifests/batches/mathlib/000397.json
+++ b/manifests/batches/mathlib/000397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000397",
   "batch_fingerprint": "81c6fc75dd7cad854ba47aca6378b774fb2eba71850ddbcb8660a1c7032f085f",
   "evidence": {
@@ -1547,22 +1546,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000397-0000-c6c285f44408e9eb.parquet",
-      "sha256": "c6c285f44408e9eb56561d876c6d4b094b0124d49ec9fa152bbed92ecf92f999",
-      "bytes": 92802,
-      "rows": 15,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/dev/mathlib-000397-0000-0b1ab7b903bc8669.parquet",
-      "sha256": "0b1ab7b903bc8669b193a09f6cab15aec027479dbfa55bdab0b78050b80399c0",
-      "bytes": 59136,
-      "rows": 6,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoxIntegral.Box.subbox_induction_on",
     "mathlib:BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eq",
@@ -1586,5 +1570,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean\",null,null,\"BoxIntegral.TaggedPrepartition.mem_infPrepartition_comm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92802,
+      "path": "data/train/p07/mathlib-000397-0000-c6c285f44408e9eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c6c285f44408e9eb56561d876c6d4b094b0124d49ec9fa152bbed92ecf92f999"
+    },
+    {
+      "bytes": 59136,
+      "path": "data/dev/p07/mathlib-000397-0000-0b1ab7b903bc8669.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0b1ab7b903bc8669b193a09f6cab15aec027479dbfa55bdab0b78050b80399c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000398.json b/manifests/batches/mathlib/000398.json
index 4356e8272f015e8c46f1de2213edcdd1a9f2a312..898792d65cad384f588b7f348ee6bde518bbfcce 100644
--- a/manifests/batches/mathlib/000398.json
+++ b/manifests/batches/mathlib/000398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000398",
   "batch_fingerprint": "bd6dc120a1c6a41147ecc439b59cdf1b46761e9b3b18910b5bbd1cf7206f3d61",
   "evidence": {
@@ -346,29 +345,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000398-0000-e0d6f06304b93f3c.parquet",
-      "sha256": "e0d6f06304b93f3c847a09690470397aa4e624b6406cc1fc0edfc22959742012",
-      "bytes": 75891,
-      "rows": 13,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/dev/mathlib-000398-0000-7e906c749132d87c.parquet",
-      "sha256": "7e906c749132d87c3c7ab6343cbc8e8d2a55f042a612a7d8ba635adbce4e623d",
-      "bytes": 32196,
-      "rows": 2,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000398-0000-f5a30c50b5c43f41.parquet",
-      "sha256": "f5a30c50b5c43f41f870c0ffb69ccbae9110b12713c1ce0bc50ab325ed213b7e",
-      "bytes": 52708,
-      "rows": 3,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiff.contDiffBump",
     "mathlib:ContDiffBump.hasCompactSupport",
@@ -394,5 +371,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/Basic.lean\",null,null,\"ContDiffBump.tsupport_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/Basic.lean\",null,null,\"ContDiffBump.zero_of_le_dist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75891,
+      "path": "data/train/p6a/mathlib-000398-0000-e0d6f06304b93f3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e0d6f06304b93f3c847a09690470397aa4e624b6406cc1fc0edfc22959742012"
+    },
+    {
+      "bytes": 32196,
+      "path": "data/dev/p6a/mathlib-000398-0000-7e906c749132d87c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7e906c749132d87c3c7ab6343cbc8e8d2a55f042a612a7d8ba635adbce4e623d"
+    },
+    {
+      "bytes": 52708,
+      "path": "data/internal_test/p6a/mathlib-000398-0000-f5a30c50b5c43f41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f5a30c50b5c43f41f870c0ffb69ccbae9110b12713c1ce0bc50ab325ed213b7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000399.json b/manifests/batches/mathlib/000399.json
index cc2f85080d33f1eb13113007457a0c081ad9b78c..b38df8d671532ddbce23121d727bfcccd98a6e10 100644
--- a/manifests/batches/mathlib/000399.json
+++ b/manifests/batches/mathlib/000399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000399",
   "batch_fingerprint": "86052b4046a4e0a41032ef67a47e4b7ce625868ef8ba16988ce39ad165393bd1",
   "evidence": {
@@ -3004,22 +3003,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000399-0000-0b991b42255c81b4.parquet",
-      "sha256": "0b991b42255c81b446cd36213f9e1041dabd701d7d07ad3a4026d86f46b60f2f",
-      "bytes": 92876,
-      "rows": 12,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000399-0000-052ee18d93793326.parquet",
-      "sha256": "052ee18d9379332672f39e46f5c5ab6a4f45f55be70fade5c158492177a7133a",
-      "bytes": 52116,
-      "rows": 2,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiffBump.convolution_eq_right",
     "mathlib:ContDiffBump.dist_normed_convolution_le",
@@ -3039,5 +3023,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean\",null,null,\"ExistsContDiffBumpBase.w_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean\",null,null,\"ExistsContDiffBumpBase.w_integral\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/FiniteDimension.lean\",null,null,\"ExistsContDiffBumpBase.w_mul_\u03c6_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92876,
+      "path": "data/train/pe9/mathlib-000399-0000-0b991b42255c81b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0b991b42255c81b446cd36213f9e1041dabd701d7d07ad3a4026d86f46b60f2f"
+    },
+    {
+      "bytes": 52116,
+      "path": "data/internal_test/pe9/mathlib-000399-0000-052ee18d93793326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "052ee18d9379332672f39e46f5c5ab6a4f45f55be70fade5c158492177a7133a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000400.json b/manifests/batches/mathlib/000400.json
index 12f8f5dda500901b35cad4e29a405c8fd2b2d7ce..ab3dc593e831ba36061e56dad703e60f0c736970 100644
--- a/manifests/batches/mathlib/000400.json
+++ b/manifests/batches/mathlib/000400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000400",
   "batch_fingerprint": "c7fd06f480bf563d5509afe95ac9e2d7c8b77ae2544b86935dde142cf6783056",
   "evidence": {
@@ -598,15 +597,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000400-0000-36d4e893e8411f47.parquet",
-      "sha256": "36d4e893e8411f47d6897dc0f46564dbfa51f311a9e3a3617ba6194b2ca57098",
-      "bytes": 82230,
-      "rows": 19,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiffBump.hasCompactSupport_normed",
     "mathlib:ContDiffBump.integral_normed",
@@ -632,5 +623,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/BumpFunction/Normed.lean\",null,null,\"ContDiffBump.tsupport_normed_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean\",null,null,\"conformalAt_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean\",null,null,\"conformalAt_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82230,
+      "path": "data/train/p69/mathlib-000400-0000-36d4e893e8411f47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "36d4e893e8411f47d6897dc0f46564dbfa51f311a9e3a3617ba6194b2ca57098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000401.json b/manifests/batches/mathlib/000401.json
index 44e4aced56811980d1152e4bbdb397bd30a9c0af..5d47a0c8ede166313e81ba565aca2ab2d901ec16 100644
--- a/manifests/batches/mathlib/000401.json
+++ b/manifests/batches/mathlib/000401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000401",
   "batch_fingerprint": "74046cfd85421efd050b8bd96bf1820c923aa94386a55fb72185e510739448ba",
   "evidence": {
@@ -8805,19 +8804,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000401-0000-d3842b38bb695cda.parquet",
-      "sha256": "d3842b38bb695cdaa509d7a69d823f709a1d492bda3fd536789ef5ace9bbac4c",
-      "bytes": 67703,
-      "rows": 3,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConformalAt.comp"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean\",null,null,\"ConformalAt.comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67703,
+      "path": "data/train/p72/mathlib-000401-0000-d3842b38bb695cda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d3842b38bb695cdaa509d7a69d823f709a1d492bda3fd536789ef5ace9bbac4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000402.json b/manifests/batches/mathlib/000402.json
index 81dd3ab2584890b9dba4bfd757e9b342e27f8e76..0294bcd1195090da141ef1143ccf95cce82d0238 100644
--- a/manifests/batches/mathlib/000402.json
+++ b/manifests/batches/mathlib/000402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000402",
   "batch_fingerprint": "71c48d9b970b0e95c12a4a33195a5b7b5f6e6fd9b6bbd7a98a4515cfab49e20b",
   "evidence": {
@@ -10261,7 +10260,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000403.json b/manifests/batches/mathlib/000403.json
index 90335608d4fd612f61c20f63d8db741451c683a0..b8d90da83123b35e43c3ce9a01cabca7e98a9380 100644
--- a/manifests/batches/mathlib/000403.json
+++ b/manifests/batches/mathlib/000403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000403",
   "batch_fingerprint": "fb6313c0f43de81e2d6cf004e982ff3aea81518bdd2beeb195dc2fd297070ec2",
   "evidence": {
@@ -293,22 +292,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000403-0000-7b6569f6a6adbfe1.parquet",
-      "sha256": "7b6569f6a6adbfe12993ade4255b227554f0ce82d8d9a054b052fa3fd6c792fa",
-      "bytes": 224077,
-      "rows": 25,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000403-0000-5e4f8619a22cb42a.parquet",
-      "sha256": "5e4f8619a22cb42a04b6e783e9010c3029c82169f7e01291b10db044e3dadda2",
-      "bytes": 54894,
-      "rows": 3,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiff.lipschitzWith_of_hasCompactSupport",
     "mathlib:ContDiff.locallyLipschitz",
@@ -326,5 +310,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ContDiff/RCLike.lean\",null,null,\"ContDiff.locallyLipschitz\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ContDiff/RCLike.lean\",null,null,\"ContDiffAt.hasStrictFDerivAt'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ContDiff/RCLike.lean\",null,null,\"ContDiffWithinAt.exists_lipschitzOnWith\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224077,
+      "path": "data/train/p36/mathlib-000403-0000-7b6569f6a6adbfe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7b6569f6a6adbfe12993ade4255b227554f0ce82d8d9a054b052fa3fd6c792fa"
+    },
+    {
+      "bytes": 54894,
+      "path": "data/internal_test/p36/mathlib-000403-0000-5e4f8619a22cb42a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5e4f8619a22cb42a04b6e783e9010c3029c82169f7e01291b10db044e3dadda2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000404.json b/manifests/batches/mathlib/000404.json
index 0402b3c0e238564df8b37936443fc36eda5eeb6a..53ace4ba53a96c6c4a0e446d18d49146c195074f 100644
--- a/manifests/batches/mathlib/000404.json
+++ b/manifests/batches/mathlib/000404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000404",
   "batch_fingerprint": "661335640cf14bfe3f66ac1fa346a5111f983062f58a44b3910e3546a176ad89",
   "evidence": {
@@ -1333,29 +1332,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000404-0000-63a96aba9a695b70.parquet",
-      "sha256": "63a96aba9a695b709d22bd3321519d7600e382af85d1f2ddc6f5d8a162e9c804",
-      "bytes": 103177,
-      "rows": 27,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/mathlib-000404-0000-168d4f4589af7d61.parquet",
-      "sha256": "168d4f4589af7d6119b9bdfc51be24539ace54cfbb9296974afeb8a5f1298047",
-      "bytes": 56107,
-      "rows": 4,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000404-0000-467901c814318ac1.parquet",
-      "sha256": "467901c814318ac14f559650e7bc3033d0ec3ebf0327321ed2495b198469921e",
-      "bytes": 46044,
-      "rows": 1,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAtFilter.add",
     "mathlib:HasDerivAtFilter.const_sub",
@@ -1407,5 +1384,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Add.lean\",null,null,\"deriv_sub_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Add.lean\",null,null,\"differentiableAt_comp_neg_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Add.lean\",null,null,\"not_differentiableAt_abs_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103177,
+      "path": "data/train/pea/mathlib-000404-0000-63a96aba9a695b70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "63a96aba9a695b709d22bd3321519d7600e382af85d1f2ddc6f5d8a162e9c804"
+    },
+    {
+      "bytes": 56107,
+      "path": "data/dev/pea/mathlib-000404-0000-168d4f4589af7d61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "168d4f4589af7d6119b9bdfc51be24539ace54cfbb9296974afeb8a5f1298047"
+    },
+    {
+      "bytes": 46044,
+      "path": "data/internal_test/pea/mathlib-000404-0000-467901c814318ac1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "467901c814318ac14f559650e7bc3033d0ec3ebf0327321ed2495b198469921e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000405.json b/manifests/batches/mathlib/000405.json
index 03c3cd6be5975c39b093ea60930383c331a08779..5c31b73fd87fdf5028ebb3d0af56f3c5c35b4561 100644
--- a/manifests/batches/mathlib/000405.json
+++ b/manifests/batches/mathlib/000405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000405",
   "batch_fingerprint": "f9d0d4aa936ff13ad8dbbabbd55e6be0f1e44d0c757324658cf820f27141df90",
   "evidence": {
@@ -2168,29 +2167,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000405-0000-895796137b9daf17.parquet",
-      "sha256": "895796137b9daf17804b76b5f6e3bb4bd62f580f1fa72292605c36fcfefbf3ac",
-      "bytes": 181844,
-      "rows": 39,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/mathlib-000405-0000-8b9c28864b77ce40.parquet",
-      "sha256": "8b9c28864b77ce40a32e4639404ec3cb14113faac2c73fb349e3a8afb2033a9e",
-      "bytes": 47646,
-      "rows": 2,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000405-0000-a6adcaaad89384d7.parquet",
-      "sha256": "a6adcaaad89384d78a4d7d3e154b45b5ea0d2b1ae3fe5b6edb0bc268a3e2fb36",
-      "bytes": 75067,
-      "rows": 8,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineMap.hasDerivAtFilter",
     "mathlib:AffineMap.hasStrictDerivAt",
@@ -2266,5 +2243,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Basic.lean\",null,null,\"norm_deriv_le_of_lip'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Basic.lean\",null,null,\"norm_deriv_le_of_lipschitz\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Basic.lean\",null,null,\"norm_deriv_le_of_lipschitzOn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181844,
+      "path": "data/train/p47/mathlib-000405-0000-895796137b9daf17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "895796137b9daf17804b76b5f6e3bb4bd62f580f1fa72292605c36fcfefbf3ac"
+    },
+    {
+      "bytes": 47646,
+      "path": "data/dev/p47/mathlib-000405-0000-8b9c28864b77ce40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8b9c28864b77ce40a32e4639404ec3cb14113faac2c73fb349e3a8afb2033a9e"
+    },
+    {
+      "bytes": 75067,
+      "path": "data/internal_test/p47/mathlib-000405-0000-a6adcaaad89384d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a6adcaaad89384d78a4d7d3e154b45b5ea0d2b1ae3fe5b6edb0bc268a3e2fb36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000406.json b/manifests/batches/mathlib/000406.json
index ba056da946ab9fc532c4bcc42e9b9863c07f5c6e..c6bb844ac6ea602fa6d7a2398e03eee6d79816f0 100644
--- a/manifests/batches/mathlib/000406.json
+++ b/manifests/batches/mathlib/000406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000406",
   "batch_fingerprint": "91456a896ab81e16ad742cf7a193ec70a7684ee8fe6e07fb264e8f7c456329c0",
   "evidence": {
@@ -1128,29 +1127,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000406-0000-1496255583be0aee.parquet",
-      "sha256": "1496255583be0aee418cf810b407bd4d6137ae5a72ac8da6410b79102feb70b3",
-      "bytes": 431556,
-      "rows": 68,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/mathlib-000406-0000-c9ab9883e4d0abd5.parquet",
-      "sha256": "c9ab9883e4d0abd5386ca98f4242e2b9ef6ba00c12ea394433771092c4684a23",
-      "bytes": 105109,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000406-0000-22b219e1f253af86.parquet",
-      "sha256": "22b219e1f253af8693d98a1721242a37d34d77abf81ede13fb65812ae0bddad2",
-      "bytes": 73435,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.comp_hasDerivWithinAt_of_eq",
     "mathlib:HasDerivAt.comp_hasFDerivAt_of_eq",
@@ -1236,5 +1213,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inv.lean\",null,null,\"derivWithin_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inv.lean\",null,null,\"fderivWithin_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inv.lean\",null,null,\"fderiv_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 431556,
+      "path": "data/train/pb7/mathlib-000406-0000-1496255583be0aee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "1496255583be0aee418cf810b407bd4d6137ae5a72ac8da6410b79102feb70b3"
+    },
+    {
+      "bytes": 105109,
+      "path": "data/dev/pb7/mathlib-000406-0000-c9ab9883e4d0abd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c9ab9883e4d0abd5386ca98f4242e2b9ef6ba00c12ea394433771092c4684a23"
+    },
+    {
+      "bytes": 73435,
+      "path": "data/internal_test/pb7/mathlib-000406-0000-22b219e1f253af86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "22b219e1f253af8693d98a1721242a37d34d77abf81ede13fb65812ae0bddad2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000407.json b/manifests/batches/mathlib/000407.json
index a849428065330c92860ca4ce7f3c7febc792e043..822c872c3acd2aff57d8cf7a4c066bc2d16e5b75 100644
--- a/manifests/batches/mathlib/000407.json
+++ b/manifests/batches/mathlib/000407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000407",
   "batch_fingerprint": "d3c150eccffa746f8e81ba5a39d89b1a48f7daf5538d98ab44983928f6832db1",
   "evidence": {
@@ -392,22 +391,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000407-0000-39b851be221fc3bf.parquet",
-      "sha256": "39b851be221fc3bf49534c06a07ab627ba8cb46d1c31aff26e5c3183c4b51ceb",
-      "bytes": 73232,
-      "rows": 4,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/mathlib-000407-0000-9e8f5079a28f32fc.parquet",
-      "sha256": "9e8f5079a28f32fc2f5a2516ffa093aca1b60c262b689ad533cb05b12a6c6585",
-      "bytes": 70903,
-      "rows": 3,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.eventually_ne",
     "mathlib:not_differentiableAt_of_local_left_inverse_hasDerivAt_zero",
@@ -417,5 +401,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inverse.lean\",null,null,\"HasDerivAt.eventually_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inverse.lean\",null,null,\"not_differentiableAt_of_local_left_inverse_hasDerivAt_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Inverse.lean\",null,null,\"not_differentiableWithinAt_of_local_left_inverse_hasDerivWithinAt_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73232,
+      "path": "data/train/p59/mathlib-000407-0000-39b851be221fc3bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "39b851be221fc3bf49534c06a07ab627ba8cb46d1c31aff26e5c3183c4b51ceb"
+    },
+    {
+      "bytes": 70903,
+      "path": "data/dev/p59/mathlib-000407-0000-9e8f5079a28f32fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9e8f5079a28f32fc2f5a2516ffa093aca1b60c262b689ad533cb05b12a6c6585"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000408.json b/manifests/batches/mathlib/000408.json
index c64a395f66f908057511e27a73fd43608430a57b..5a0dd0c120f3c063e13fd5fce2064160312aee61 100644
--- a/manifests/batches/mathlib/000408.json
+++ b/manifests/batches/mathlib/000408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000408",
   "batch_fingerprint": "bb74755f9d5c3c84b097b095ac129d2f3b5ad635232e5bcfddc527289d3b339d",
   "evidence": {
@@ -1053,22 +1052,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000408-0000-3678753c0090868d.parquet",
-      "sha256": "3678753c0090868d5f1b24a611f1b4d314f773c2aa02090a8bd2ab459bafe664",
-      "bytes": 514981,
-      "rows": 45,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000408-0000-4c43fef10d67d745.parquet",
-      "sha256": "4c43fef10d67d745fa0c674d450ad63a74c26563c87c7e61a62cbcd241fd249b",
-      "bytes": 106315,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.hasDerivAt_of_bilinear",
     "mathlib:ContinuousLinearMap.hasDerivWithinAt_of_bilinear",
@@ -1140,5 +1124,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Mul.lean\",null,null,\"derivWithin_div_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Mul.lean\",null,null,\"deriv_const_mul_field\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Mul.lean\",null,null,\"deriv_div_const\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 514981,
+      "path": "data/train/pc4/mathlib-000408-0000-3678753c0090868d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "3678753c0090868d5f1b24a611f1b4d314f773c2aa02090a8bd2ab459bafe664"
+    },
+    {
+      "bytes": 106315,
+      "path": "data/internal_test/pc4/mathlib-000408-0000-4c43fef10d67d745.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4c43fef10d67d745fa0c674d450ad63a74c26563c87c7e61a62cbcd241fd249b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000409.json b/manifests/batches/mathlib/000409.json
index b4455944cd3b5fb30e769669717906ac10cd9f5c..b3071b21b00ce0e8834bca89dee90008b19770cc 100644
--- a/manifests/batches/mathlib/000409.json
+++ b/manifests/batches/mathlib/000409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000409",
   "batch_fingerprint": "8aa96231cdeff980004d6ba0346c55f088bff12d5af2062f0c4f2251ca5ab523",
   "evidence": {
@@ -849,15 +848,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000409-0000-ef0f397425d5cb8b.parquet",
-      "sha256": "ef0f397425d5cb8b99ffb4ebf51fb6d8f4705617b42859b31f6fe3daae17b72b",
-      "bytes": 70016,
-      "rows": 6,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.pow",
     "mathlib:Polynomial.derivWithin",
@@ -869,5 +860,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Polynomial.lean\",null,null,\"Polynomial.derivWithin_aeval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Polynomial.lean\",null,null,\"Polynomial.hasStrictDerivAt_aeval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Pow.lean\",null,null,\"HasDerivAt.pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70016,
+      "path": "data/train/p04/mathlib-000409-0000-ef0f397425d5cb8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ef0f397425d5cb8b99ffb4ebf51fb6d8f4705617b42859b31f6fe3daae17b72b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000410.json b/manifests/batches/mathlib/000410.json
index 1e18c5946a95668b3f332ae672e248ff0e4fe727..f9647465f45e4c6e31af4ef6db01a8831c1f77c3 100644
--- a/manifests/batches/mathlib/000410.json
+++ b/manifests/batches/mathlib/000410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000410",
   "batch_fingerprint": "d53ec4e92635d153fcec8b3a671261e977feacd221429a1e8277870ef19fa71c",
   "evidence": {
@@ -315,15 +314,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000410-0000-37c4b86c17de88e7.parquet",
-      "sha256": "37c4b86c17de88e783f3a9ca582f5cd5b39c27cf6f6126558686b3c9614b7565",
-      "bytes": 40408,
-      "rows": 2,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.comp_add_const",
     "mathlib:HasDerivAt.comp_const_add"
@@ -331,5 +322,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Shift.lean\",null,null,\"HasDerivAt.comp_add_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Shift.lean\",null,null,\"HasDerivAt.comp_const_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40408,
+      "path": "data/train/p7a/mathlib-000410-0000-37c4b86c17de88e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "37c4b86c17de88e783f3a9ca582f5cd5b39c27cf6f6126558686b3c9614b7565"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000411.json b/manifests/batches/mathlib/000411.json
index 191c74393c365b3c9d3729057f6d3b51f5b0e8a6..39350a0d78f57238dbdd7a403770759e47ccd49d 100644
--- a/manifests/batches/mathlib/000411.json
+++ b/manifests/batches/mathlib/000411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000411",
   "batch_fingerprint": "e50c56335b6e5040893d4442a509e1902785fb7ce3fc670141588dd092b0a999",
   "evidence": {
@@ -907,22 +906,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000411-0000-f30c2bc10f526c04.parquet",
-      "sha256": "f30c2bc10f526c04f1e0a96fb60e86fb7cff209fb39f0e4622d8ea1f1a515fd3",
-      "bytes": 80655,
-      "rows": 10,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000411-0000-c70380f0cb28045f.parquet",
-      "sha256": "c70380f0cb28045fa9d56c18500366ea82a831bb9cc97ac3e22cde4a1bed6992",
-      "bytes": 68248,
-      "rows": 7,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAtFilter.star",
     "mathlib:HasDerivWithinAt.liminf_right_slope_norm_le",
@@ -942,5 +926,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Slope.lean\",null,null,\"range_deriv_subset_closure_span_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Star.lean\",null,null,\"HasDerivAtFilter.star\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Star.lean\",null,null,\"HasStrictDerivAt.star\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80655,
+      "path": "data/train/p44/mathlib-000411-0000-f30c2bc10f526c04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f30c2bc10f526c04f1e0a96fb60e86fb7cff209fb39f0e4622d8ea1f1a515fd3"
+    },
+    {
+      "bytes": 68248,
+      "path": "data/internal_test/p44/mathlib-000411-0000-c70380f0cb28045f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c70380f0cb28045fa9d56c18500366ea82a831bb9cc97ac3e22cde4a1bed6992"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000412.json b/manifests/batches/mathlib/000412.json
index 6b8fc5c9e2b950d53fe78b9b9a0191ff2db268a8..5ac67a8814d2606bd25cb7b4d6cd02b6a1be5b20 100644
--- a/manifests/batches/mathlib/000412.json
+++ b/manifests/batches/mathlib/000412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000412",
   "batch_fingerprint": "f2b997330dd80987eb2961574ff355eb1f79d591bc31e3c8ea5380aa6a845cc8",
   "evidence": {
@@ -661,15 +660,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000412-0000-a3e0e1e23758c26d.parquet",
-      "sha256": "a3e0e1e23758c26d82329b4dbc50179227b0462bb4789b98a9f6b535e7d7b1b3",
-      "bytes": 61849,
-      "rows": 6,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:iter_deriv_inv",
     "mathlib:support_deriv_subset"
@@ -677,5 +668,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/Support.lean\",null,null,\"support_deriv_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Deriv/ZPow.lean\",null,null,\"iter_deriv_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61849,
+      "path": "data/train/p6a/mathlib-000412-0000-a3e0e1e23758c26d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a3e0e1e23758c26d82329b4dbc50179227b0462bb4789b98a9f6b535e7d7b1b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000413.json b/manifests/batches/mathlib/000413.json
index d5d5efc5e26b603ebdb0879c76baa1c30d1666e9..8390c64e0f8e2ea0088b073625d6aa9ab5670ca8 100644
--- a/manifests/batches/mathlib/000413.json
+++ b/manifests/batches/mathlib/000413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000413",
   "batch_fingerprint": "3989df5a389827b3b7c3af3247a4cdb26066dd3ac6452147b9862c5aa7f6df30",
   "evidence": {
@@ -924,22 +923,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000413-0000-7e4b8b9840fbee2a.parquet",
-      "sha256": "7e4b8b9840fbee2ab0dad586ba04e179295f75d53a157d0787cf26436390b336",
-      "bytes": 93313,
-      "rows": 17,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000413-0000-6a54e98f4ad39536.parquet",
-      "sha256": "6a54e98f4ad3953635899a98ffbd887e5a58c357c60413760d376fd9df594de7",
-      "bytes": 42718,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousWithinAt.of_dslope",
     "mathlib:DifferentiableWithinAt.of_dslope",
@@ -963,5 +947,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Dslope.lean\",null,null,\"differentiableWithinAt_dslope_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Dslope.lean\",null,null,\"dslope_sub_smul_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Dslope.lean\",null,null,\"sub_smul_dslope\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93313,
+      "path": "data/train/p51/mathlib-000413-0000-7e4b8b9840fbee2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7e4b8b9840fbee2ab0dad586ba04e179295f75d53a157d0787cf26436390b336"
+    },
+    {
+      "bytes": 42718,
+      "path": "data/internal_test/p51/mathlib-000413-0000-6a54e98f4ad39536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6a54e98f4ad3953635899a98ffbd887e5a58c357c60413760d376fd9df594de7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000414.json b/manifests/batches/mathlib/000414.json
index ff8f8148461bf81acb889f6c5ecfb8ee87fb4068..fccbf65784272238f930a15af682c69e92444b67 100644
--- a/manifests/batches/mathlib/000414.json
+++ b/manifests/batches/mathlib/000414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000414",
   "batch_fingerprint": "58f0a25cfce343825b72137957bf0da9c5235937f4c3462bbdbb4f94bc80fd46",
   "evidence": {
@@ -3648,29 +3647,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000414-0000-86c51b1f60f59c50.parquet",
-      "sha256": "86c51b1f60f59c50d193d4bc342c51e873c27086acdad3481ac835683b525409",
-      "bytes": 334502,
-      "rows": 60,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/mathlib-000414-0000-47b50a3b669183ce.parquet",
-      "sha256": "47b50a3b669183ce11b55540351e5d7ed925546c4b9c814f326728e341103309",
-      "bytes": 72186,
-      "rows": 5,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000414-0000-70d58b181853a9e1.parquet",
-      "sha256": "70d58b181853a9e133c32647b4113e05d78acceacd84e6dd87745e03b01f6836",
-      "bytes": 53987,
-      "rows": 4,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AnalyticAt.contDiffAt",
     "mathlib:AnalyticOn.fderiv",
@@ -3772,5 +3749,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Analytic.lean\",null,null,\"ContinuousMultilinearMap.norm_iteratedFDeriv_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Analytic.lean\",null,null,\"HasFPowerSeriesAt.hasStrictFDerivAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Analytic.lean\",null,null,\"HasFPowerSeriesOnBall.hasSum_iteratedFDeriv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334502,
+      "path": "data/train/p2a/mathlib-000414-0000-86c51b1f60f59c50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "86c51b1f60f59c50d193d4bc342c51e873c27086acdad3481ac835683b525409"
+    },
+    {
+      "bytes": 72186,
+      "path": "data/dev/p2a/mathlib-000414-0000-47b50a3b669183ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "47b50a3b669183ce11b55540351e5d7ed925546c4b9c814f326728e341103309"
+    },
+    {
+      "bytes": 53987,
+      "path": "data/internal_test/p2a/mathlib-000414-0000-70d58b181853a9e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "70d58b181853a9e133c32647b4113e05d78acceacd84e6dd87745e03b01f6836"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000415.json b/manifests/batches/mathlib/000415.json
index a42d392664e0b54f9d9cba7f0ec2b335697f74bf..1ae1e6edd13a94ad20a6f59577a58018fb1cc468 100644
--- a/manifests/batches/mathlib/000415.json
+++ b/manifests/batches/mathlib/000415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000415",
   "batch_fingerprint": "cefc003c3fec37523089196177ca4e40101cc68b8fa8f795b2410fd960ade584",
   "evidence": {
@@ -3750,29 +3749,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000415-0000-67f92c980ebe40aa.parquet",
-      "sha256": "67f92c980ebe40aafa0ea8ffab13b054fe7ab2548c41591d4d2cc868b5d06f55",
-      "bytes": 347605,
-      "rows": 68,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/mathlib-000415-0000-84f3d96411eb2ff1.parquet",
-      "sha256": "84f3d96411eb2ff113e683e2621a08d2cbe487a56331191ad2ca12cb0d543adf",
-      "bytes": 75090,
-      "rows": 5,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000415-0000-67758fd23a09db5c.parquet",
-      "sha256": "67758fd23a09db5cc98e217476ace10a524cb1b75ee861b5652052087b89f053",
-      "bytes": 83935,
-      "rows": 8,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsBigO.hasFDerivAt",
     "mathlib:Asymptotics.IsBigO.hasFDerivWithinAt",
@@ -3866,5 +3843,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Basic.lean\",null,null,\"hasStrictFDerivAt_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Basic.lean\",null,null,\"norm_fderiv_le_of_lipschitzOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Basic.lean\",null,null,\"support_fderiv_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347605,
+      "path": "data/train/p7c/mathlib-000415-0000-67f92c980ebe40aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "67f92c980ebe40aafa0ea8ffab13b054fe7ab2548c41591d4d2cc868b5d06f55"
+    },
+    {
+      "bytes": 75090,
+      "path": "data/dev/p7c/mathlib-000415-0000-84f3d96411eb2ff1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "84f3d96411eb2ff113e683e2621a08d2cbe487a56331191ad2ca12cb0d543adf"
+    },
+    {
+      "bytes": 83935,
+      "path": "data/internal_test/p7c/mathlib-000415-0000-67758fd23a09db5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "67758fd23a09db5cc98e217476ace10a524cb1b75ee861b5652052087b89f053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000416.json b/manifests/batches/mathlib/000416.json
index 78ae22cf41c4afe04c731539df1233deb041f092..5e9c57a7d382214e79bd1e0836e95275052d4679 100644
--- a/manifests/batches/mathlib/000416.json
+++ b/manifests/batches/mathlib/000416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000416",
   "batch_fingerprint": "c2447821d42edba0fa9cdfb05a3b567600888d3a3d88b93647efd8146da2299f",
   "evidence": {
@@ -1748,29 +1747,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000416-0000-37c89c4c3e0aec7c.parquet",
-      "sha256": "37c89c4c3e0aec7cf14b4653f4c3c389c5870ce01001b804556822356f66bc8b",
-      "bytes": 516546,
-      "rows": 65,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/mathlib-000416-0000-2121f44467209990.parquet",
-      "sha256": "2121f44467209990821ce17c5c1ebe52f03f74a5dcfe3596fa8535c97370ed55",
-      "bytes": 63489,
-      "rows": 1,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000416-0000-b790f43030df5391.parquet",
-      "sha256": "b790f43030df5391d11391cd96a23335af53a1736616f6ce30116825ae89cbff",
-      "bytes": 72111,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.comp_differentiableAt_iff",
     "mathlib:ContinuousLinearEquiv.comp_differentiableOn_iff",
@@ -1838,5 +1815,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Equiv.lean\",null,null,\"fderiv_continuousLinearEquiv_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Equiv.lean\",null,null,\"fderiv_continuousLinearEquiv_comp'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Equiv.lean\",null,null,\"has_fderiv_at_filter_real_equiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 516546,
+      "path": "data/train/p3f/mathlib-000416-0000-37c89c4c3e0aec7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "37c89c4c3e0aec7cf14b4653f4c3c389c5870ce01001b804556822356f66bc8b"
+    },
+    {
+      "bytes": 63489,
+      "path": "data/dev/p3f/mathlib-000416-0000-2121f44467209990.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2121f44467209990821ce17c5c1ebe52f03f74a5dcfe3596fa8535c97370ed55"
+    },
+    {
+      "bytes": 72111,
+      "path": "data/internal_test/p3f/mathlib-000416-0000-b790f43030df5391.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b790f43030df5391d11391cd96a23335af53a1736616f6ce30116825ae89cbff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000417.json b/manifests/batches/mathlib/000417.json
index 9603b319619e2ebbdc4f3923a7a151e17e949e3c..875a37e83f919903f63f3fab94039dae92340ba8 100644
--- a/manifests/batches/mathlib/000417.json
+++ b/manifests/batches/mathlib/000417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000417",
   "batch_fingerprint": "ed5d716bd9772f8825e363a286656633c4bc95cab59074a2f412d18b703fe53b",
   "evidence": {
@@ -1472,22 +1471,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000417-0000-f0d9db16ecee8e32.parquet",
-      "sha256": "f0d9db16ecee8e32b6cb3cde4a6979c55214071e6da30cea919bc748913f536f",
-      "bytes": 69923,
-      "rows": 4,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000417-0000-c412a50192a46108.parquet",
-      "sha256": "c412a50192a46108eaa5b240b611cb641e47a8fb2fb64c24eb14580fbd99801a",
-      "bytes": 51985,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.fderivWithin",
     "mathlib:ContinuousLinearMap.hasFDerivAtFilter",
@@ -1499,5 +1483,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Linear.lean\",null,null,\"ContinuousLinearMap.hasFDerivAtFilter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Linear.lean\",null,null,\"ContinuousLinearMap.hasStrictFDerivAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Linear.lean\",null,null,\"IsBoundedLinearMap.fderivWithin\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69923,
+      "path": "data/train/pda/mathlib-000417-0000-f0d9db16ecee8e32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f0d9db16ecee8e32b6cb3cde4a6979c55214071e6da30cea919bc748913f536f"
+    },
+    {
+      "bytes": 51985,
+      "path": "data/internal_test/pda/mathlib-000417-0000-c412a50192a46108.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c412a50192a46108eaa5b240b611cb641e47a8fb2fb64c24eb14580fbd99801a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000418.json b/manifests/batches/mathlib/000418.json
index 392d31e50e44283ab8fb26c651a59982fce63ab9..905d1b85e945b959fba98d1df70a1223c2e37bd3 100644
--- a/manifests/batches/mathlib/000418.json
+++ b/manifests/batches/mathlib/000418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000418",
   "batch_fingerprint": "46f31fd6318905a959e8cad96ae52540cab12b181084fa00c55b7643ce5efdff",
   "evidence": {
@@ -7345,29 +7344,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000418-0000-8085840a9921bba4.parquet",
-      "sha256": "8085840a9921bba461eeedf517565bf493c0c39fefa524ae242a22c585e84a22",
-      "bytes": 487264,
-      "rows": 55,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/dev/mathlib-000418-0000-247db3abb1a8ff9f.parquet",
-      "sha256": "247db3abb1a8ff9f42b9d7c99307e03081302303d93fa9f39bb3dcce467f0173",
-      "bytes": 84207,
-      "rows": 6,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/internal_test/mathlib-000418-0000-3f5b64c8d2786eff.parquet",
-      "sha256": "3f5b64c8d2786eff5a400d507cf9a1ab9e6db693d37f68e550cabfec7155e2d7",
-      "bytes": 54679,
-      "rows": 2,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FDerivMeasurableAux.A_mono",
     "mathlib:FDerivMeasurableAux.isOpen_B",
@@ -7431,5 +7408,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Mul.lean\",null,null,\"hasFDerivAt_ring_inverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Mul.lean\",null,null,\"hasStrictFDerivAt_finset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Mul.lean\",null,null,\"hasStrictFDerivAt_multiset_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487264,
+      "path": "data/train/p68/mathlib-000418-0000-8085840a9921bba4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "8085840a9921bba461eeedf517565bf493c0c39fefa524ae242a22c585e84a22"
+    },
+    {
+      "bytes": 84207,
+      "path": "data/dev/p68/mathlib-000418-0000-247db3abb1a8ff9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "247db3abb1a8ff9f42b9d7c99307e03081302303d93fa9f39bb3dcce467f0173"
+    },
+    {
+      "bytes": 54679,
+      "path": "data/internal_test/p68/mathlib-000418-0000-3f5b64c8d2786eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3f5b64c8d2786eff5a400d507cf9a1ab9e6db693d37f68e550cabfec7155e2d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000419.json b/manifests/batches/mathlib/000419.json
index 04f5a544d3d5c4964087549d5e5bb2123ed8271e..c8573f9c2580b29def80427636c1fcb347389d0f 100644
--- a/manifests/batches/mathlib/000419.json
+++ b/manifests/batches/mathlib/000419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000419",
   "batch_fingerprint": "5376d0aed019be6fa677dd342f864c2505e5e60fcaa899781eaa7e13a4108a04",
   "evidence": {
@@ -1909,29 +1908,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000419-0000-aad1a2f971648d9e.parquet",
-      "sha256": "aad1a2f971648d9e4aaabcfa4a733addb7369a5dc486e5a50324a379792f3e37",
-      "bytes": 91052,
-      "rows": 12,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/mathlib-000419-0000-eb65d69ed7e2a514.parquet",
-      "sha256": "eb65d69ed7e2a5144bd705d592581353a1c1157c1dc6388d92c250f3ba7b8e6c",
-      "bytes": 43325,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000419-0000-2639ceff30158af4.parquet",
-      "sha256": "2639ceff30158af4a5dfee56c5302d223fe650725e4c3303bea5a825c91432ec",
-      "bytes": 53855,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:differentiableAt_apply",
     "mathlib:differentiableOn_apply",
@@ -1949,5 +1926,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Prod.lean\",null,null,\"hasFDerivAtFilter_pi'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Prod.lean\",null,null,\"hasFDerivAt_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/Prod.lean\",null,null,\"hasStrictFDerivAt_pi'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91052,
+      "path": "data/train/pa3/mathlib-000419-0000-aad1a2f971648d9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "aad1a2f971648d9e4aaabcfa4a733addb7369a5dc486e5a50324a379792f3e37"
+    },
+    {
+      "bytes": 43325,
+      "path": "data/dev/pa3/mathlib-000419-0000-eb65d69ed7e2a514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eb65d69ed7e2a5144bd705d592581353a1c1157c1dc6388d92c250f3ba7b8e6c"
+    },
+    {
+      "bytes": 53855,
+      "path": "data/internal_test/pa3/mathlib-000419-0000-2639ceff30158af4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2639ceff30158af4a5dfee56c5302d223fe650725e4c3303bea5a825c91432ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000420.json b/manifests/batches/mathlib/000420.json
index 960d97231ac98aab354a02d8a0a55e8d80c5b6c9..2042263a9e8ea4080a4257a7e75cc24acb03a17a 100644
--- a/manifests/batches/mathlib/000420.json
+++ b/manifests/batches/mathlib/000420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000420",
   "batch_fingerprint": "c0e3a52fd178d42ac44a29f7060f1c440fde814643b82beede659c2177553e2e",
   "evidence": {
@@ -597,15 +596,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000420-0000-7117a8548f6cfaf9.parquet",
-      "sha256": "7117a8548f6cfaf926be32c9f7635737b44c7525dbdce6c7f63a21bc103734bf",
-      "bytes": 93563,
-      "rows": 6,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasFDerivWithinAt.of_restrictScalars",
     "mathlib:differentiableAt_iff_restrictScalars",
@@ -615,5 +606,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean\",null,null,\"HasFDerivWithinAt.of_restrictScalars\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean\",null,null,\"differentiableAt_iff_restrictScalars\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean\",null,null,\"hasFDerivAt_of_restrictScalars\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93563,
+      "path": "data/train/pde/mathlib-000420-0000-7117a8548f6cfaf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7117a8548f6cfaf926be32c9f7635737b44c7525dbdce6c7f63a21bc103734bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000421.json b/manifests/batches/mathlib/000421.json
index 0eea8b3ccee810fc52aec40b39e912f6aa42d5bc..f9754d1cf4a0fe1357fe622738ef1a8ceb0a4bc0 100644
--- a/manifests/batches/mathlib/000421.json
+++ b/manifests/batches/mathlib/000421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000421",
   "batch_fingerprint": "939ff22996970b49cc07ff7f8f56866b44cff8843af31b00237b239e43fff545",
   "evidence": {
@@ -2109,15 +2108,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000421-0000-5e6fb721e466382b.parquet",
-      "sha256": "5e6fb721e466382b6f9c124eccd9bfb198f5caa4250c439805867fba4280ad11",
-      "bytes": 96976,
-      "rows": 18,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FormalMultilinearSeries.apply_eq_pow_smul_coeff",
     "mathlib:FormalMultilinearSeries.apply_eq_prod_smul_coeff",
@@ -2145,5 +2136,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean\",null,null,\"FormalMultilinearSeries.order_eq_zero_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean\",null,null,\"FormalMultilinearSeries.order_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean\",null,null,\"FormalMultilinearSeries.removeZero_of_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96976,
+      "path": "data/train/p1a/mathlib-000421-0000-5e6fb721e466382b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5e6fb721e466382b6f9c124eccd9bfb198f5caa4250c439805867fba4280ad11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000422.json b/manifests/batches/mathlib/000422.json
index a95be6c94eea5f95b23a9218bf7bd9de331adf9e..e5eb01d1e428cba3ee24dfc68f651b7f05bdbcc7 100644
--- a/manifests/batches/mathlib/000422.json
+++ b/manifests/batches/mathlib/000422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000422",
   "batch_fingerprint": "b430f58fb42a4ed097e266601f3f3de3502d51311c935f7cf5912ce7b93196fc",
   "evidence": {
@@ -1540,29 +1539,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000422-0000-ca1d405c44575c77.parquet",
-      "sha256": "ca1d405c44575c77e763c76758304096efb330b50223357c747165dd0b919fed",
-      "bytes": 202934,
-      "rows": 29,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/dev/mathlib-000422-0000-b653667f6afb2bbc.parquet",
-      "sha256": "b653667f6afb2bbc772f20b86a2cbf26dbb517ac44cf661316f053e9a962c0e2",
-      "bytes": 56640,
-      "rows": 1,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000422-0000-31e0af4091325f6d.parquet",
-      "sha256": "31e0af4091325f6dd2ec024136a0d904ad88ea899ffaa0be8395a3862a730d36",
-      "bytes": 89284,
-      "rows": 7,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DifferentiableAt.hasGradientAt",
     "mathlib:DifferentiableWithinAt.hasGradientWithinAt",
@@ -1608,5 +1585,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Implicit.lean\",null,null,\"HasStrictFDerivAt.mem_implicitToPartialHomeomorphOfComplemented_target\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Implicit.lean\",null,null,\"HasStrictFDerivAt.tendsto_implicitFunction\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Implicit.lean\",null,null,\"ImplicitFunctionData.implicitFunction_hasStrictFDerivAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202934,
+      "path": "data/train/p42/mathlib-000422-0000-ca1d405c44575c77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ca1d405c44575c77e763c76758304096efb330b50223357c747165dd0b919fed"
+    },
+    {
+      "bytes": 56640,
+      "path": "data/dev/p42/mathlib-000422-0000-b653667f6afb2bbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b653667f6afb2bbc772f20b86a2cbf26dbb517ac44cf661316f053e9a962c0e2"
+    },
+    {
+      "bytes": 89284,
+      "path": "data/internal_test/p42/mathlib-000422-0000-31e0af4091325f6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "31e0af4091325f6dd2ec024136a0d904ad88ea899ffaa0be8395a3862a730d36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000423.json b/manifests/batches/mathlib/000423.json
index 1f06868acce9694374d541a28d87446c69ed7e66..56d09b743cfc591bb2c6491fdbd52780631f5142 100644
--- a/manifests/batches/mathlib/000423.json
+++ b/manifests/batches/mathlib/000423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000423",
   "batch_fingerprint": "3b0c9c82524b277b90c2780378822f08cdf161ae9a2075ef25e9c8483a36e8e1",
   "evidence": {
@@ -1702,22 +1701,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000423-0000-daad4b76bbbcfa5d.parquet",
-      "sha256": "daad4b76bbbcfa5d6a6126618f5103324d407007d57c33edf92f5f4c80d97695",
-      "bytes": 86602,
-      "rows": 8,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000423-0000-dfed9cd8199e9ab4.parquet",
-      "sha256": "dfed9cd8199e9ab4ab21e2557089b7a76c6bd4aa517a0f3f5f237067148eb26e",
-      "bytes": 50918,
-      "rows": 3,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ApproximatesLinearOn.image_mem_nhds",
     "mathlib:ApproximatesLinearOn.inverse_continuousOn",
@@ -1731,5 +1715,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean\",null,null,\"ApproximatesLinearOn.lipschitz\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean\",null,null,\"ApproximatesLinearOn.map_nhds_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean\",null,null,\"approximatesLinearOn_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86602,
+      "path": "data/train/pf9/mathlib-000423-0000-daad4b76bbbcfa5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "daad4b76bbbcfa5d6a6126618f5103324d407007d57c33edf92f5f4c80d97695"
+    },
+    {
+      "bytes": 50918,
+      "path": "data/internal_test/pf9/mathlib-000423-0000-dfed9cd8199e9ab4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dfed9cd8199e9ab4ab21e2557089b7a76c6bd4aa517a0f3f5f237067148eb26e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000424.json b/manifests/batches/mathlib/000424.json
index dbbfce8b8f87768413224f379f85d5c993f10ab2..dc46911a23144e862ac7350fc8d1012daaf3f197 100644
--- a/manifests/batches/mathlib/000424.json
+++ b/manifests/batches/mathlib/000424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000424",
   "batch_fingerprint": "0846056cb6f9cb872a9e2d65ddb5381ab0251eafcc25988506107bed23c1cd2c",
   "evidence": {
@@ -465,15 +464,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000424-0000-744ba3be07640002.parquet",
-      "sha256": "744ba3be076400027b7cd62bc81d18b0ee3ae6eefb9b652a0f1031e5262e0949",
-      "bytes": 74963,
-      "rows": 4,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasStrictFDerivAt.approximates_deriv_on_open_nhds",
     "mathlib:HasStrictFDerivAt.to_localInverse"
@@ -481,5 +472,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/InverseFunctionTheorem/FDeriv.lean\",null,null,\"HasStrictFDerivAt.approximates_deriv_on_open_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/InverseFunctionTheorem/FDeriv.lean\",null,null,\"HasStrictFDerivAt.to_localInverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74963,
+      "path": "data/train/p74/mathlib-000424-0000-744ba3be07640002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "744ba3be076400027b7cd62bc81d18b0ee3ae6eefb9b652a0f1031e5262e0949"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000425.json b/manifests/batches/mathlib/000425.json
index a4e3e05bff260ecb12bdf632010c64955efcf90a..8e8c3acb32772f390262713cb23a5c8f6f8880d3 100644
--- a/manifests/batches/mathlib/000425.json
+++ b/manifests/batches/mathlib/000425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000425",
   "batch_fingerprint": "655950426052f1ca22eae62d29c91946fe8657e31c23766556b24af5102c31dd",
   "evidence": {
@@ -377,22 +376,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000425-0000-1a10c1d5b47ac763.parquet",
-      "sha256": "1a10c1d5b47ac76319bff04a6a63d864e3fedbc02179d4176077164a1f50afad",
-      "bytes": 217493,
-      "rows": 40,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000425-0000-38b1b05f4db694fd.parquet",
-      "sha256": "38b1b05f4db694fd20066d580079abcd18b37e449fd6d80af7cb5a6fa6c97260",
-      "bytes": 61384,
-      "rows": 4,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiffOn.continuousOn_iteratedDerivWithin",
     "mathlib:ContDiffOn.differentiableOn_iteratedDerivWithin",
@@ -444,5 +428,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean\",null,null,\"iteratedFDeriv_eq_equiv_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean\",null,null,\"norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean\",null,null,\"norm_iteratedFDeriv_eq_norm_iteratedDeriv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217493,
+      "path": "data/train/pff/mathlib-000425-0000-1a10c1d5b47ac763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "1a10c1d5b47ac76319bff04a6a63d864e3fedbc02179d4176077164a1f50afad"
+    },
+    {
+      "bytes": 61384,
+      "path": "data/internal_test/pff/mathlib-000425-0000-38b1b05f4db694fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "38b1b05f4db694fd20066d580079abcd18b37e449fd6d80af7cb5a6fa6c97260"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000426.json b/manifests/batches/mathlib/000426.json
index 005d451291f52d7182afb15d7e6b16208ee90495..c877ae9af9dfcf8a0c697b723be467a4b78543c5 100644
--- a/manifests/batches/mathlib/000426.json
+++ b/manifests/batches/mathlib/000426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000426",
   "batch_fingerprint": "e552725317633505f18ec18ae31c8d9dc8bb91ac75abb59c3e6878ac66b73e4b",
   "evidence": {
@@ -1955,15 +1954,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000426-0000-e2fa6c48f66cc2aa.parquet",
-      "sha256": "e2fa6c48f66cc2aa7404f5263038a6675e10ac7be5bedc881ede2e2d52bb7491",
-      "bytes": 225380,
-      "rows": 52,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.lhopital_zero_nhds'",
     "mathlib:deriv.lhopital_zero_atBot",
@@ -2003,5 +1994,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LHopital.lean\",null,null,\"deriv.lhopital_zero_nhds_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LHopital.lean\",null,null,\"deriv.lhopital_zero_nhds_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LHopital.lean\",null,null,\"deriv.lhopital_zero_right_on_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225380,
+      "path": "data/train/p38/mathlib-000426-0000-e2fa6c48f66cc2aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "e2fa6c48f66cc2aa7404f5263038a6675e10ac7be5bedc881ede2e2d52bb7491"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000427.json b/manifests/batches/mathlib/000427.json
index f2fddffeaabd9746c3e1e4087a7f746a8136895c..44a4daa3e8de9cfb1c64991fe3a7ea67050060ef 100644
--- a/manifests/batches/mathlib/000427.json
+++ b/manifests/batches/mathlib/000427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000427",
   "batch_fingerprint": "89381f0c708189ec50a03402f85d9faca0f3f8cd66a8e49fd010d6db111f0f47",
   "evidence": {
@@ -2548,22 +2547,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000427-0000-d0c715fe79b30e1b.parquet",
-      "sha256": "d0c715fe79b30e1b9eb87200037fb1f2d1f79c8f9c09a010eabed94a2ca69a6a",
-      "bytes": 216102,
-      "rows": 31,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/dev/mathlib-000427-0000-711ea5ee40db3b84.parquet",
-      "sha256": "711ea5ee40db3b847b760290a121822a921183cee470df5ba8186d3aa66bd128",
-      "bytes": 47817,
-      "rows": 1,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyEq.lineDeriv_eq",
     "mathlib:HasFDerivAt.hasLineDerivAt",
@@ -2611,5 +2595,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Basic.lean\",null,null,\"lineDifferentiableWithinAt_smul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Basic.lean\",null,null,\"lineDifferentiableWithinAt_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Basic.lean\",null,null,\"norm_lineDeriv_le_of_lipschitzOn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216102,
+      "path": "data/train/pcc/mathlib-000427-0000-d0c715fe79b30e1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d0c715fe79b30e1b9eb87200037fb1f2d1f79c8f9c09a010eabed94a2ca69a6a"
+    },
+    {
+      "bytes": 47817,
+      "path": "data/dev/pcc/mathlib-000427-0000-711ea5ee40db3b84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "711ea5ee40db3b847b760290a121822a921183cee470df5ba8186d3aa66bd128"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000428.json b/manifests/batches/mathlib/000428.json
index 312228e25390b4e386ab31dec5af23eb3910d896..8fa55e5dd44e8206baeaf7f9b64a27306c6b4cfd 100644
--- a/manifests/batches/mathlib/000428.json
+++ b/manifests/batches/mathlib/000428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000428",
   "batch_fingerprint": "fb5943ea5a11d289ca64f7131fbd1e976ff20a8b23733cc663e86906825bc3d3",
   "evidence": {
@@ -1106,15 +1105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000428-0000-a15b2da081d17eb4.parquet",
-      "sha256": "a15b2da081d17eb4b6555fbc7f5cd43da16cbc547205d8800e287f10b9932993",
-      "bytes": 80945,
-      "rows": 13,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:measurableSet_lineDifferentiableAt_uncurry",
     "mathlib:measurable_lineDeriv_uncurry",
@@ -1124,5 +1115,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Measurable.lean\",null,null,\"measurableSet_lineDifferentiableAt_uncurry\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Measurable.lean\",null,null,\"measurable_lineDeriv_uncurry\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LineDeriv/Measurable.lean\",null,null,\"stronglyMeasurable_lineDeriv_uncurry\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80945,
+      "path": "data/train/p2a/mathlib-000428-0000-a15b2da081d17eb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a15b2da081d17eb4b6555fbc7f5cd43da16cbc547205d8800e287f10b9932993"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000429.json b/manifests/batches/mathlib/000429.json
index 07ade39921949caa023587acedd5908aaee41bc8..dc37e2c0e0895d4fb846081ea7b8921134e0836b 100644
--- a/manifests/batches/mathlib/000429.json
+++ b/manifests/batches/mathlib/000429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000429",
   "batch_fingerprint": "041deda29e564f2dae3615a7c0c571403240d441c796d9a4d764b4ee9608f4a0",
   "evidence": {
@@ -594,15 +593,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000429-0000-843288bfaf194272.parquet",
-      "sha256": "843288bfaf1942724b84e7b6bfd0bb57e979dce73d84efafde8820642b943eb2",
-      "bytes": 88334,
-      "rows": 18,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalMaxOn.fderivWithin_eq_zero",
     "mathlib:IsLocalMaxOn.fderivWithin_nonpos",
@@ -630,5 +621,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LocalExtr/Basic.lean\",null,null,\"mem_posTangentConeAt_of_segment_subset'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LocalExtr/Basic.lean\",null,null,\"posTangentConeAt_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/LocalExtr/Polynomial.lean\",null,null,\"Polynomial.card_rootSet_le_derivative\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88334,
+      "path": "data/train/p6a/mathlib-000429-0000-843288bfaf194272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "843288bfaf1942724b84e7b6bfd0bb57e979dce73d84efafde8820642b943eb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000430.json b/manifests/batches/mathlib/000430.json
index d2683d503b4e1dff6cdc6012b53821b1b245bc42..1e9dc43b060727994de90dae9341afef273d6935 100644
--- a/manifests/batches/mathlib/000430.json
+++ b/manifests/batches/mathlib/000430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000430",
   "batch_fingerprint": "416d0f25356b38ec0312e81706c5ad65e0fef5852e6149daed892f0158686f10",
   "evidence": {
@@ -2474,22 +2473,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000430-0000-575afbcc159338a6.parquet",
-      "sha256": "575afbcc159338a6339928b34ff263f750d76080bb027eeb6c79449b6f07c53b",
-      "bytes": 243799,
-      "rows": 44,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000430-0000-ff00dd9c63b96bb1.parquet",
-      "sha256": "ff00dd9c63b96bb1732dc3394ff183a737af95f6e41c25a04bbcd4f16e36437b",
-      "bytes": 71909,
-      "rows": 12,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Convex.exists_nhdsWithin_lipschitzOnWith_of_hasFDerivWithinAt_of_nnnorm_lt",
     "mathlib:Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le",
@@ -2545,5 +2529,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/MeanValue.lean\",null,null,\"strictMonoOn_of_deriv_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/MeanValue.lean\",null,null,\"strictMonoOn_of_hasDerivWithinAt_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/MeanValue.lean\",null,null,\"strictMono_of_hasDerivAt_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243799,
+      "path": "data/train/pc4/mathlib-000430-0000-575afbcc159338a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "575afbcc159338a6339928b34ff263f750d76080bb027eeb6c79449b6f07c53b"
+    },
+    {
+      "bytes": 71909,
+      "path": "data/internal_test/pc4/mathlib-000430-0000-ff00dd9c63b96bb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ff00dd9c63b96bb1732dc3394ff183a737af95f6e41c25a04bbcd4f16e36437b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000431.json b/manifests/batches/mathlib/000431.json
index 971fec2dc3fb0923736afe13f1c0ccd4b34ccd35..18bc35a4b488a0400e95c14b8a720be9c31ff0fa 100644
--- a/manifests/batches/mathlib/000431.json
+++ b/manifests/batches/mathlib/000431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000431",
   "batch_fingerprint": "f2608293d8a0fe10bfe7e7c3c02cdcdd5bc413aaaa1250cc52b08132a980d6ae",
   "evidence": {
@@ -2105,22 +2104,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000431-0000-05021e477134c1fa.parquet",
-      "sha256": "05021e477134c1fa1bd773f5a295a3b142a03731ce0642ce598b7523584ce26b",
-      "bytes": 140853,
-      "rows": 16,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000431-0000-f6df83f086ca930c.parquet",
-      "sha256": "f6df83f086ca930cd55b21b9d4757137d7c39cebaa3f653268432b1e1dacb6de",
-      "bytes": 57248,
-      "rows": 9,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Monotone.ae_differentiableAt",
     "mathlib:MonotoneOn.ae_differentiableWithinAt",
@@ -2136,5 +2120,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ParametricIntegral.lean\",null,null,\"hasFDerivAt_integral_of_dominated_loc_of_lip\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ParametricIntegral.lean\",null,null,\"hasFDerivAt_integral_of_dominated_loc_of_lip_interval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/ParametricIntegral.lean\",null,null,\"hasFDerivAt_integral_of_dominated_of_fderiv_le''\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140853,
+      "path": "data/train/pd1/mathlib-000431-0000-05021e477134c1fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "05021e477134c1fa1bd773f5a295a3b142a03731ce0642ce598b7523584ce26b"
+    },
+    {
+      "bytes": 57248,
+      "path": "data/internal_test/pd1/mathlib-000431-0000-f6df83f086ca930c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f6df83f086ca930cd55b21b9d4757137d7c39cebaa3f653268432b1e1dacb6de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000432.json b/manifests/batches/mathlib/000432.json
index b273e6a91f1d09e455591e5e3267c385caf6d9b0..ec1c2a011a13584006f67930d18ea91edf428b45 100644
--- a/manifests/batches/mathlib/000432.json
+++ b/manifests/batches/mathlib/000432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000432",
   "batch_fingerprint": "4cf5d9284d9f4f47b19488c1288cca454d92bb8ee23d839d717ba06cd7ab977d",
   "evidence": {
@@ -1984,15 +1983,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000432-0000-ef3be9996fdb34bd.parquet",
-      "sha256": "ef3be9996fdb34bd59fe199047f5bc297a5ded64f9b7cbcb305cde9423cbeea3",
-      "bytes": 155072,
-      "rows": 26,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LipschitzOnWith.ae_differentiableWithinAt",
     "mathlib:LipschitzOnWith.ae_differentiableWithinAt_of_mem_of_real",
@@ -2010,5 +2001,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Rademacher.lean\",null,null,\"LipschitzOnWith.ae_differentiableWithinAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Rademacher.lean\",null,null,\"LipschitzOnWith.ae_differentiableWithinAt_of_mem_of_real\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/Rademacher.lean\",null,null,\"LipschitzWith.ae_differentiableAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155072,
+      "path": "data/train/pff/mathlib-000432-0000-ef3be9996fdb34bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ef3be9996fdb34bd59fe199047f5bc297a5ded64f9b7cbcb305cde9423cbeea3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000433.json b/manifests/batches/mathlib/000433.json
index a67eed7b36281f693ee5b7169fe2c1e90a7dd9dd..b48a2899f78bec0c3328181c3e44daf66c47ae08 100644
--- a/manifests/batches/mathlib/000433.json
+++ b/manifests/batches/mathlib/000433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000433",
   "batch_fingerprint": "85386fe1de3aa5e6b2226fb92469996b9f4f82a4eba40bc290800a10a282ad42",
   "evidence": {
@@ -2717,29 +2716,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000433-0000-1c9f024d0087b9a1.parquet",
-      "sha256": "1c9f024d0087b9a1f613e2ede82315826130e2826345f39b17e0722f86232dbc",
-      "bytes": 157162,
-      "rows": 30,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/mathlib-000433-0000-38e27dc46414809b.parquet",
-      "sha256": "38e27dc46414809b565a24b11d48c0002de103824f88df67cc9f7f7340d2a5e6",
-      "bytes": 52896,
-      "rows": 2,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000433-0000-5683e38172222f1b.parquet",
-      "sha256": "5683e38172222f1bc220169b574150c2ca2da3be492e7e77aadc0e09439c17c7",
-      "bytes": 80590,
-      "rows": 6,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniqueDiffWithinAt.mono_nhds",
     "mathlib:UniqueDiffWithinAt.prod",
@@ -2777,5 +2754,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/TangentCone.lean\",null,null,\"uniqueDiffOn_Iic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/TangentCone.lean\",null,null,\"uniqueDiffWithinAt_of_mem_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/TangentCone.lean\",null,null,\"uniqueDiffWithinAt_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157162,
+      "path": "data/train/p3b/mathlib-000433-0000-1c9f024d0087b9a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "1c9f024d0087b9a1f613e2ede82315826130e2826345f39b17e0722f86232dbc"
+    },
+    {
+      "bytes": 52896,
+      "path": "data/dev/p3b/mathlib-000433-0000-38e27dc46414809b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "38e27dc46414809b565a24b11d48c0002de103824f88df67cc9f7f7340d2a5e6"
+    },
+    {
+      "bytes": 80590,
+      "path": "data/internal_test/p3b/mathlib-000433-0000-5683e38172222f1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5683e38172222f1bc220169b574150c2ca2da3be492e7e77aadc0e09439c17c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000434.json b/manifests/batches/mathlib/000434.json
index e8fe8083fc948db117da09f4d7db61611b35da2a..719333e6f3c172becfd6eb7c207ab22ff395633f 100644
--- a/manifests/batches/mathlib/000434.json
+++ b/manifests/batches/mathlib/000434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000434",
   "batch_fingerprint": "f4d771a0a67a10561bbf78388b87081cdcabbe03d4c32ade8cfeebad29907c33",
   "evidence": {
@@ -3319,29 +3318,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000434-0000-2a6ab650dac0f953.parquet",
-      "sha256": "2a6ab650dac0f9538b6ed68433a3b2ce16b4e9fff87834d694d2f14b3b086e7e",
-      "bytes": 348299,
-      "rows": 47,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/mathlib-000434-0000-d98e43718bc28fa8.parquet",
-      "sha256": "d98e43718bc28fa83717f37d97f55bf08768d66bbcfc50f039cc7da630229bb9",
-      "bytes": 70414,
-      "rows": 2,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000434-0000-ef6e0613b0e75a53.parquet",
-      "sha256": "ef6e0613b0e75a533e1fc53e30b4fdf8742f7ae2e50d82f18f107646bc700bfb",
-      "bytes": 62287,
-      "rows": 4,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniformCauchySeqOnFilter.one_smulRight",
     "mathlib:continuousOn_taylorWithinEval",
@@ -3367,5 +3344,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean\",null,null,\"hasDerivAt_of_tendsto_locally_uniformly_on'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean\",null,null,\"hasFDerivAt_of_tendsto_locally_uniformly_on'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean\",null,null,\"uniformCauchySeqOnFilter_of_deriv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348299,
+      "path": "data/train/pa3/mathlib-000434-0000-2a6ab650dac0f953.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "2a6ab650dac0f9538b6ed68433a3b2ce16b4e9fff87834d694d2f14b3b086e7e"
+    },
+    {
+      "bytes": 70414,
+      "path": "data/dev/pa3/mathlib-000434-0000-d98e43718bc28fa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d98e43718bc28fa83717f37d97f55bf08768d66bbcfc50f039cc7da630229bb9"
+    },
+    {
+      "bytes": 62287,
+      "path": "data/internal_test/pa3/mathlib-000434-0000-ef6e0613b0e75a53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ef6e0613b0e75a533e1fc53e30b4fdf8742f7ae2e50d82f18f107646bc700bfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000435.json b/manifests/batches/mathlib/000435.json
index 4baaf12e0324c17e57380b0e17f7ed2857e56d8d..91817b56453d6560503c145626ae506928545a1a 100644
--- a/manifests/batches/mathlib/000435.json
+++ b/manifests/batches/mathlib/000435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000435",
   "batch_fingerprint": "4a24be2f1c5db6a08e16a876fc56ea1c29b20e2abaaa77dcf5cc4329af2c6dc3",
   "evidence": {
@@ -2488,22 +2487,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000435-0000-d7e8b512c1eed4e3.parquet",
-      "sha256": "d7e8b512c1eed4e3dd184f1a05599ec1e559723dae42cefb381942b894d39f75",
-      "bytes": 79121,
-      "rows": 20,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000435-0000-5acf3c94c2310cd4.parquet",
-      "sha256": "5acf3c94c2310cd4a48aa0f33d603d7f5a002768820998d40ea4b21a82e2724b",
-      "bytes": 62941,
-      "rows": 5,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.eqOn_of_isPreconnected_of_isMaxOn_norm",
     "mathlib:Complex.eq_of_isMaxOn_of_ball_subset",
@@ -2521,5 +2505,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/AbsMax.lean\",null,null,\"Complex.eventually_eq_of_isLocalMax_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/AbsMax.lean\",null,null,\"Complex.isOpen_setOf_mem_nhds_and_isMaxOn_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/AbsMax.lean\",null,null,\"Complex.norm_eventually_eq_of_isLocalMax\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79121,
+      "path": "data/train/pc4/mathlib-000435-0000-d7e8b512c1eed4e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d7e8b512c1eed4e3dd184f1a05599ec1e559723dae42cefb381942b894d39f75"
+    },
+    {
+      "bytes": 62941,
+      "path": "data/internal_test/pc4/mathlib-000435-0000-5acf3c94c2310cd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5acf3c94c2310cd4a48aa0f33d603d7f5a002768820998d40ea4b21a82e2724b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000436.json b/manifests/batches/mathlib/000436.json
index dd5c151cb017fdcd6365b957943e3a6e60e2e63e..1783ce496e17d3c88a57d09c6abb956ad4880116 100644
--- a/manifests/batches/mathlib/000436.json
+++ b/manifests/batches/mathlib/000436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000436",
   "batch_fingerprint": "42edfae45f0b3c8a4cbe1564858304f9f283c13be8b96b1b4cd39f328bb757fa",
   "evidence": {
@@ -702,15 +701,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000436-0000-f3d44aad58a6906b.parquet",
-      "sha256": "f3d44aad58a6906b11f56d6f756a9ee38bfa4ff1c35761f687ae0c40ae68df3d",
-      "bytes": 51689,
-      "rows": 14,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.angle_div_right_eq_angle_mul_left",
     "mathlib:Complex.angle_eq_abs_arg",
@@ -730,5 +721,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Angle.lean\",null,null,\"Complex.angle_mul_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Angle.lean\",null,null,\"Complex.angle_one_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Angle.lean\",null,null,\"Complex.angle_one_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51689,
+      "path": "data/train/pce/mathlib-000436-0000-f3d44aad58a6906b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f3d44aad58a6906b11f56d6f756a9ee38bfa4ff1c35761f687ae0c40ae68df3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000437.json b/manifests/batches/mathlib/000437.json
index 3b1f3bf9c5929f4116c9cd91dd097bf625096065..f89e4b367ba47bb807e638a22cf5d10685143568 100644
--- a/manifests/batches/mathlib/000437.json
+++ b/manifests/batches/mathlib/000437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000437",
   "batch_fingerprint": "950e9eb0871e6c3809f169f1f76e809e9c51c7ad46e7b7ef6a4d88d4c669e519",
   "evidence": {
@@ -1789,29 +1788,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000437-0000-4ab0b2def9bf68b0.parquet",
-      "sha256": "4ab0b2def9bf68b0ba83143481966f3bb9475c39d0844a059b49d08e9ccb6366",
-      "bytes": 161072,
-      "rows": 37,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/mathlib-000437-0000-6a39bdad0902693a.parquet",
-      "sha256": "6a39bdad0902693a223c674d3e9fda05fd93ff17b87c2ae82d4bd06c8257cbd8",
-      "bytes": 60551,
-      "rows": 6,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/mathlib-000437-0000-ac6a29f13883674b.parquet",
-      "sha256": "ac6a29f13883674bb9a7e48dfc4f63ca52c490c608ca123026a61cacc65c8682",
-      "bytes": 36659,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.antilipschitz_equivRealProd",
     "mathlib:Complex.ball_one_subset_slitPlane",
@@ -1887,5 +1864,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Basic.lean\",null,null,\"RCLike.hasSum_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Basic.lean\",null,null,\"RCLike.hasSum_ofReal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Basic.lean\",null,null,\"RCLike.summable_ofReal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161072,
+      "path": "data/train/p69/mathlib-000437-0000-4ab0b2def9bf68b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "4ab0b2def9bf68b0ba83143481966f3bb9475c39d0844a059b49d08e9ccb6366"
+    },
+    {
+      "bytes": 60551,
+      "path": "data/dev/p69/mathlib-000437-0000-6a39bdad0902693a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6a39bdad0902693a223c674d3e9fda05fd93ff17b87c2ae82d4bd06c8257cbd8"
+    },
+    {
+      "bytes": 36659,
+      "path": "data/internal_test/p69/mathlib-000437-0000-ac6a29f13883674b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ac6a29f13883674bb9a7e48dfc4f63ca52c490c608ca123026a61cacc65c8682"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000438.json b/manifests/batches/mathlib/000438.json
index cc70c33c356f8c614c0a87b23b3ca4fef9bc1595..3d980a7f67f47121c43a43d1a5db5db370f97218 100644
--- a/manifests/batches/mathlib/000438.json
+++ b/manifests/batches/mathlib/000438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000438",
   "batch_fingerprint": "5e13352e9dc8d920e8c1535028a593ef4e18bf7f028bc005f060ea43dbbb51cd",
   "evidence": {
@@ -1721,29 +1720,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000438-0000-9e15e4a8f95029f6.parquet",
-      "sha256": "9e15e4a8f95029f606107ec25835e74c96404246c9c8f6e1d6f3ebb62e6e655e",
-      "bytes": 111624,
-      "rows": 23,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/mathlib-000438-0000-462e2b98f4fcebd8.parquet",
-      "sha256": "462e2b98f4fcebd89235c029a258068b336303570bc2a9bf18e026c4059962c2",
-      "bytes": 41187,
-      "rows": 1,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/mathlib-000438-0000-0310576176062ca0.parquet",
-      "sha256": "0310576176062ca014205bc27df3cbd925aec6c984a1387b820de4f2f7513a5e",
-      "bytes": 63192,
-      "rows": 3,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.analyticOn_univ_iff_differentiable",
     "mathlib:Complex.circleIntegral_div_sub_of_differentiable_on_off_countable",
@@ -1773,5 +1750,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Circle.lean\",null,null,\"mem_circle_iff_normSq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Circle.lean\",null,null,\"normSq_eq_of_mem_circle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Circle.lean\",null,null,\"norm_circle_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111624,
+      "path": "data/train/p50/mathlib-000438-0000-9e15e4a8f95029f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "9e15e4a8f95029f606107ec25835e74c96404246c9c8f6e1d6f3ebb62e6e655e"
+    },
+    {
+      "bytes": 41187,
+      "path": "data/dev/p50/mathlib-000438-0000-462e2b98f4fcebd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "462e2b98f4fcebd89235c029a258068b336303570bc2a9bf18e026c4059962c2"
+    },
+    {
+      "bytes": 63192,
+      "path": "data/internal_test/p50/mathlib-000438-0000-0310576176062ca0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0310576176062ca014205bc27df3cbd925aec6c984a1387b820de4f2f7513a5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000439.json b/manifests/batches/mathlib/000439.json
index 0c805a2ba72f8c4437935c97a8aa87e81b9b9442..8c4e72532ba761d1fc0874e72081115cf3f92446 100644
--- a/manifests/batches/mathlib/000439.json
+++ b/manifests/batches/mathlib/000439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000439",
   "batch_fingerprint": "06bf2715def1cb53ea98eadf887daed71a52fae2881013bec55968be797e015d",
   "evidence": {
@@ -444,7 +443,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000440.json b/manifests/batches/mathlib/000440.json
index 005f8178abf630b517a60de79a139f50d05af56f..382e1bd0ea301dcd6c6972dcf6844fbaa8e673e5 100644
--- a/manifests/batches/mathlib/000440.json
+++ b/manifests/batches/mathlib/000440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000440",
   "batch_fingerprint": "fac440768e58fbc8eb10d211fb8da942696e9dd7775d0fcfea3babaeab141e10",
   "evidence": {
@@ -1809,15 +1808,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000440-0000-294a5d1969d8c6a1.parquet",
-      "sha256": "294a5d1969d8c6a1bb984fda8b8bddf1f0c65e311a30bbff780d57bc61b46045",
-      "bytes": 89409,
-      "rows": 22,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.HadamardThreeLines.eventuallyle",
     "mathlib:Complex.HadamardThreeLines.interpStrip_eq_of_pos",
@@ -1833,5 +1824,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Hadamard.lean\",null,null,\"Complex.HadamardThreeLines.norm_mul_invInterpStrip_le_one_of_mem_verticalClosedStrip\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Hadamard.lean\",null,null,\"Complex.HadamardThreeLines.sSupNormIm_eps_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Hadamard.lean\",null,null,\"Complex.HadamardThreeLines.sSupNormIm_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89409,
+      "path": "data/train/pcd/mathlib-000440-0000-294a5d1969d8c6a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "294a5d1969d8c6a1bb984fda8b8bddf1f0c65e311a30bbff780d57bc61b46045"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000441.json b/manifests/batches/mathlib/000441.json
index d6f5479c3d9c541c88218ceb90587aaf1df214ef..6a467934b8d2c4b3f49ef563e394ec5d904fc094 100644
--- a/manifests/batches/mathlib/000441.json
+++ b/manifests/batches/mathlib/000441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000441",
   "batch_fingerprint": "4c759f69d8487844e6a55bb36b6c01dfd1c46dff6e1e1b999d8ade70af808964",
   "evidence": {
@@ -879,22 +878,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000441-0000-5fd03bad2444d9d9.parquet",
-      "sha256": "5fd03bad2444d9d90570b86f4f2ca1c5a03dfda5c1611609cbd0db905a20db16",
-      "bytes": 101211,
-      "rows": 19,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/mathlib-000441-0000-9c38ec438c0ae5a2.parquet",
-      "sha256": "9c38ec438c0ae5a2a6b5f9569bdf889526c3f7ebff4ab4de71af436348070ba3",
-      "bytes": 53947,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.deriv_eq_smul_circleIntegral",
     "mathlib:LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re",
@@ -914,5 +898,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Isometry.lean\",null,null,\"rotation_ne_conjLIE\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Isometry.lean\",null,null,\"rotation_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/Liouville.lean\",null,null,\"Complex.deriv_eq_smul_circleIntegral\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101211,
+      "path": "data/train/p6f/mathlib-000441-0000-5fd03bad2444d9d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5fd03bad2444d9d90570b86f4f2ca1c5a03dfda5c1611609cbd0db905a20db16"
+    },
+    {
+      "bytes": 53947,
+      "path": "data/internal_test/p6f/mathlib-000441-0000-9c38ec438c0ae5a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9c38ec438c0ae5a2a6b5f9569bdf889526c3f7ebff4ab4de71af436348070ba3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000442.json b/manifests/batches/mathlib/000442.json
index fad1f3214175a4d8c51d93f65ac029890feb9d7b..4258e9a34163d9b3a242381b7e66f79e6656526c 100644
--- a/manifests/batches/mathlib/000442.json
+++ b/manifests/batches/mathlib/000442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000442",
   "batch_fingerprint": "df4aac801fa61a45bf6b6a7cb58b73af22b552e54292ec86651aaae39239446b",
   "evidence": {
@@ -1589,15 +1588,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000442-0000-4ed3b267946ddb76.parquet",
-      "sha256": "4ed3b267946ddb76ebdef8ab2162e9614bb04640637e47aa256c3183e62f1f01",
-      "bytes": 73538,
-      "rows": 7,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.exists_cthickening_tendstoUniformlyOn",
     "mathlib:Complex.hasSum_deriv_of_summable_norm"
@@ -1605,5 +1596,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/LocallyUniformLimit.lean\",null,null,\"Complex.exists_cthickening_tendstoUniformlyOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/LocallyUniformLimit.lean\",null,null,\"Complex.hasSum_deriv_of_summable_norm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73538,
+      "path": "data/train/p5d/mathlib-000442-0000-4ed3b267946ddb76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4ed3b267946ddb76ebdef8ab2162e9614bb04640637e47aa256c3183e62f1f01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000443.json b/manifests/batches/mathlib/000443.json
index 7432b21e8432536a55f10320994b3b7741d3453c..44dd7d3f1a6936182a4433372ac36d0e3706908c 100644
--- a/manifests/batches/mathlib/000443.json
+++ b/manifests/batches/mathlib/000443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000443",
   "batch_fingerprint": "dd6a98a27c74d2359456f716249bed4701420cb69dc2b729461fd976fdd0a6d5",
   "evidence": {
@@ -3099,7 +3098,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000444.json b/manifests/batches/mathlib/000444.json
index e24e48234234bc9e50f70093affb3a607a8c9d72..06cebbd38582951a6c922d3e2e26297961f3ce6a 100644
--- a/manifests/batches/mathlib/000444.json
+++ b/manifests/batches/mathlib/000444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000444",
   "batch_fingerprint": "df25427bae732de0f53224f3e78eae86d06f89196fb33ff2f657cb723028ab12",
   "evidence": {
@@ -1513,22 +1512,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000444-0000-70ccf99c8f7bf65b.parquet",
-      "sha256": "70ccf99c8f7bf65bea524f8c12e7fb8f88cda9adbc55206fe1c5117d4bf5721b",
-      "bytes": 55279,
-      "rows": 18,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000444-0000-b39f6c8f6fa21f3b.parquet",
-      "sha256": "b39f6c8f6fa21f3bb496a95f543192e7f1cd443a926d83b8db1d9e50d19174d4",
-      "bytes": 38178,
-      "rows": 2,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.closure_reProdIm",
     "mathlib:Complex.closure_setOf_im_lt",
@@ -1572,5 +1556,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/ReImTopology.lean\",null,null,\"Complex.interior_setOf_im_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/ReImTopology.lean\",null,null,\"Complex.interior_setOf_le_re\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/ReImTopology.lean\",null,null,\"Complex.interior_setOf_re_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55279,
+      "path": "data/train/p85/mathlib-000444-0000-70ccf99c8f7bf65b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "70ccf99c8f7bf65bea524f8c12e7fb8f88cda9adbc55206fe1c5117d4bf5721b"
+    },
+    {
+      "bytes": 38178,
+      "path": "data/internal_test/p85/mathlib-000444-0000-b39f6c8f6fa21f3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b39f6c8f6fa21f3bb496a95f543192e7f1cd443a926d83b8db1d9e50d19174d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000445.json b/manifests/batches/mathlib/000445.json
index 4c3d9ec25de99b6c2fff84ef93ec138137280b01..86c9d801461a5ad041626252a55304a3db0c8d89 100644
--- a/manifests/batches/mathlib/000445.json
+++ b/manifests/batches/mathlib/000445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000445",
   "batch_fingerprint": "64936fa9f0feb481955248d9585b5d5617bcd90027a73741c8aa11cb0d8e3c89",
   "evidence": {
@@ -734,15 +733,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000445-0000-9af6f70d6e0272aa.parquet",
-      "sha256": "9af6f70d6e0272aa226116fdc13548ae2080d1ab78267f3401e5bb3d5ab58726",
-      "bytes": 199869,
-      "rows": 27,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO",
     "mathlib:DifferentiableAt.conformalAt",
@@ -770,5 +761,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/RealDeriv.lean\",null,null,\"HasStrictDerivAt.complexToReal_fderiv'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/RealDeriv.lean\",null,null,\"HasStrictDerivAt.real_of_complex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/RemovableSingularity.lean\",null,null,\"Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199869,
+      "path": "data/train/p3e/mathlib-000445-0000-9af6f70d6e0272aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9af6f70d6e0272aa226116fdc13548ae2080d1ab78267f3401e5bb3d5ab58726"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000446.json b/manifests/batches/mathlib/000446.json
index 77336567ccc1bd9f458adaaab8ca11ce7338d2c8..c850736e799308f1cf07951503d24a74fb63648e 100644
--- a/manifests/batches/mathlib/000446.json
+++ b/manifests/batches/mathlib/000446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000446",
   "batch_fingerprint": "b39091b2c87c6ee8e58c9434d7837161319c1996d2dde1563b298f529e2da32c",
   "evidence": {
@@ -873,15 +872,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000446-0000-e0dc9711a2f09f7b.parquet",
-      "sha256": "e0dc9711a2f09f7bdf217a4ee649aecb90ade4acfb928f32d257c8e647abd685",
-      "bytes": 87355,
-      "rows": 15,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.abs_deriv_le_one_of_mapsTo_ball",
     "mathlib:Complex.abs_le_abs_of_mapsTo_ball_self",
@@ -897,5 +888,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/TaylorSeries.lean\",null,null,\"Complex.taylorSeries_eq_of_entire'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/TaylorSeries.lean\",null,null,\"Complex.taylorSeries_eq_on_ball'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/TaylorSeries.lean\",null,null,\"Complex.taylorSeries_eq_on_emetric_ball'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87355,
+      "path": "data/train/p0c/mathlib-000446-0000-e0dc9711a2f09f7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e0dc9711a2f09f7bdf217a4ee649aecb90ade4acfb928f32d257c8e647abd685"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000447.json b/manifests/batches/mathlib/000447.json
index 49433413d2ea0a35088616d5a6300f49cb055a43..7ad5531a66ca77ee007d6fde3b362f66d7ee90ce 100644
--- a/manifests/batches/mathlib/000447.json
+++ b/manifests/batches/mathlib/000447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000447",
   "batch_fingerprint": "621dd60283998ab9fd88abfbb3a30843a158b6b228575f8a5f9c907e283d96de",
   "evidence": {
@@ -866,15 +865,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000447-0000-afda06331c7946dc.parquet",
-      "sha256": "afda06331c7946dc1f3d45b6726ae9e3feaedc4d56acfd2718fedb3ec317b12f",
-      "bytes": 37119,
-      "rows": 4,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.UnitDisc.coe_ne_neg_one",
     "mathlib:Complex.UnitDisc.normSq_lt_one"
@@ -882,5 +873,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UnitDisc/Basic.lean\",null,null,\"Complex.UnitDisc.coe_ne_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UnitDisc/Basic.lean\",null,null,\"Complex.UnitDisc.normSq_lt_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 37119,
+      "path": "data/train/p26/mathlib-000447-0000-afda06331c7946dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "afda06331c7946dc1f3d45b6726ae9e3feaedc4d56acfd2718fedb3ec317b12f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000448.json b/manifests/batches/mathlib/000448.json
index a1a63b45b7ca28246d18dca5bfba33125f153864..a54b6cbe1e2b2ab2e25bd5aa86e091d8d92a2991 100644
--- a/manifests/batches/mathlib/000448.json
+++ b/manifests/batches/mathlib/000448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000448",
   "batch_fingerprint": "eb108320d31dfddf70693145916c60e25e4a609b1fd65528d376ac793ada2162",
   "evidence": {
@@ -1437,22 +1436,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000448-0000-54f5c252b075266e.parquet",
-      "sha256": "54f5c252b075266e1d0310780fd72c7c1a764f0c85cdf49d435210f2936fdda3",
-      "bytes": 190623,
-      "rows": 34,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000448-0000-f15545e7a8d56df8.parquet",
-      "sha256": "f15545e7a8d56df8eefda67fba605092ef24782298e893391137648090c137ea",
-      "bytes": 49811,
-      "rows": 3,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UpperHalfPlane.IsBoundedAtImInfty.mul",
     "mathlib:UpperHalfPlane.ModularGroup.SL_neg_smul",
@@ -1488,5 +1472,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/FunctionsBoundedAtInfty.lean\",null,null,\"UpperHalfPlane.atImInfty_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/FunctionsBoundedAtInfty.lean\",null,null,\"UpperHalfPlane.bounded_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/FunctionsBoundedAtInfty.lean\",null,null,\"UpperHalfPlane.zero_at_im_infty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190623,
+      "path": "data/train/p9e/mathlib-000448-0000-54f5c252b075266e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "54f5c252b075266e1d0310780fd72c7c1a764f0c85cdf49d435210f2936fdda3"
+    },
+    {
+      "bytes": 49811,
+      "path": "data/internal_test/p9e/mathlib-000448-0000-f15545e7a8d56df8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f15545e7a8d56df8eefda67fba605092ef24782298e893391137648090c137ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000449.json b/manifests/batches/mathlib/000449.json
index 53c00367fa3d0db012227733cf87032b027b7f79..ce101d70018137c2f1f89b06e8acff40935464f4 100644
--- a/manifests/batches/mathlib/000449.json
+++ b/manifests/batches/mathlib/000449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000449",
   "batch_fingerprint": "c0dc78a520c27bb5a689c125fefc69aba4bcd9eeabc88a2d303b71afbd3eebf6",
   "evidence": {
@@ -956,22 +955,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000449-0000-7f1ad7f3eecee321.parquet",
-      "sha256": "7f1ad7f3eecee3219b4e976ae99e0f88d4423db21319b358b9de75cff59c4c0f",
-      "bytes": 94350,
-      "rows": 29,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000449-0000-1c67a8ae3130579b.parquet",
-      "sha256": "1c67a8ae3130579b29be008d67c12ef50e2736d94c1d67ada0dfe808cbd6a102",
-      "bytes": 56594,
-      "rows": 8,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UpperHalfPlane.cosh_dist",
     "mathlib:UpperHalfPlane.cosh_dist'",
@@ -1013,5 +997,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean\",null,null,\"UpperHalfPlane.sinh_half_dist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean\",null,null,\"UpperHalfPlane.sinh_half_dist_add_dist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean\",null,null,\"UpperHalfPlane.tanh_half_dist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94350,
+      "path": "data/train/pbe/mathlib-000449-0000-7f1ad7f3eecee321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7f1ad7f3eecee3219b4e976ae99e0f88d4423db21319b358b9de75cff59c4c0f"
+    },
+    {
+      "bytes": 56594,
+      "path": "data/internal_test/pbe/mathlib-000449-0000-1c67a8ae3130579b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1c67a8ae3130579b29be008d67c12ef50e2736d94c1d67ada0dfe808cbd6a102"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000450.json b/manifests/batches/mathlib/000450.json
index f626e7619b4261e12cc52f45c935755ebd36eec6..bbbabc7acfff48804dc13e37ae8d22d1dabee876 100644
--- a/manifests/batches/mathlib/000450.json
+++ b/manifests/batches/mathlib/000450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000450",
   "batch_fingerprint": "2bf8cf8a6e699cb6e8710db13a76a1ea100da950c31fe0ab0c238abd5647c570",
   "evidence": {
@@ -1712,15 +1711,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000450-0000-36f2f0326368120d.parquet",
-      "sha256": "36f2f0326368120d0fae3e68c259e781bacd147f2316a757cd9721e3208eb003",
-      "bytes": 75773,
-      "rows": 16,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasConstantSpeedOnWith.hasLocallyBoundedVariationOn",
     "mathlib:UpperHalfPlane.comp_ofComplex",
@@ -1736,5 +1727,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ConstantSpeed.lean\",null,null,\"edist_naturalParameterization_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ConstantSpeed.lean\",null,null,\"hasConstantSpeedOnWith_of_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ConstantSpeed.lean\",null,null,\"unique_unit_speed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75773,
+      "path": "data/train/p29/mathlib-000450-0000-36f2f0326368120d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "36f2f0326368120d0fae3e68c259e781bacd147f2316a757cd9721e3208eb003"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000451.json b/manifests/batches/mathlib/000451.json
index 75199cbc188ec7c6f0a048e59e7e8f059eced283..b7734dea54a0dbe53cf243fac4db7417b13bc69d 100644
--- a/manifests/batches/mathlib/000451.json
+++ b/manifests/batches/mathlib/000451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000451",
   "batch_fingerprint": "50f2476873dd1cd34ad780f4b5535d733a53b8701844ccecdea17f3b419bce83",
   "evidence": {
@@ -2344,29 +2343,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000451-0000-7362cc500836ec74.parquet",
-      "sha256": "7362cc500836ec747beb72ab5ad8c20635e18699cb2549161908966edfd9fa75",
-      "bytes": 192849,
-      "rows": 45,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/dev/mathlib-000451-0000-c5fa964a93cba1bc.parquet",
-      "sha256": "c5fa964a93cba1bc03e30f5a331c100a1c01899d33d18fbd35b4f75e74b00710",
-      "bytes": 52398,
-      "rows": 3,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000451-0000-740901bbe2519ffb.parquet",
-      "sha256": "740901bbe2519ffb4c10d4e06a5792e3d4ced925f0423155aaa83ffcbb36dc28",
-      "bytes": 53379,
-      "rows": 3,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineSubspace.convex",
     "mathlib:AmpleSet.image",
@@ -2422,5 +2399,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Basic.lean\",null,null,\"stdSimplex_fin_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Basic.lean\",null,null,\"stdSimplex_of_isEmpty_index\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Basic.lean\",null,null,\"stdSimplex_unique\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192849,
+      "path": "data/train/p9a/mathlib-000451-0000-7362cc500836ec74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "7362cc500836ec747beb72ab5ad8c20635e18699cb2549161908966edfd9fa75"
+    },
+    {
+      "bytes": 52398,
+      "path": "data/dev/p9a/mathlib-000451-0000-c5fa964a93cba1bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c5fa964a93cba1bc03e30f5a331c100a1c01899d33d18fbd35b4f75e74b00710"
+    },
+    {
+      "bytes": 53379,
+      "path": "data/internal_test/p9a/mathlib-000451-0000-740901bbe2519ffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "740901bbe2519ffb4c10d4e06a5792e3d4ced925f0423155aaa83ffcbb36dc28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000452.json b/manifests/batches/mathlib/000452.json
index 802caa49424564706d899aeaff2912ac7dbdb11a..134de705adfc0d64cffec12928a2681410c31053 100644
--- a/manifests/batches/mathlib/000452.json
+++ b/manifests/batches/mathlib/000452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000452",
   "batch_fingerprint": "44e73ebf498343be46ed38cbbc98c8bb1b7817bffa23a7e06c433b533641e31b",
   "evidence": {
@@ -3912,29 +3911,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000452-0000-cf1e185642705b91.parquet",
-      "sha256": "cf1e185642705b9109f4c96a5fd8758f755e37b7f22983be827e8a1d146eb914",
-      "bytes": 299026,
-      "rows": 81,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/mathlib-000452-0000-ce2d554bd7510b19.parquet",
-      "sha256": "ce2d554bd7510b1972fa3666250b91326688382d4492f706cc18866ccff8f834",
-      "bytes": 58105,
-      "rows": 6,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000452-0000-095775e41a4b66d2.parquet",
-      "sha256": "095775e41a4b66d2ffc96b6cf68d17d28c730ffe9087ed5890fb9016920e5469",
-      "bytes": 53029,
-      "rows": 3,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineEquiv.sbtw_map_iff",
     "mathlib:AffineEquiv.wbtw_map_iff",
@@ -4040,5 +4017,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Between.lean\",null,null,\"wbtw_zero_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Body.lean\",null,null,\"ConvexBody.hausdorffEdist_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Body.lean\",null,null,\"ConvexBody.hausdorffEdist_ne_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299026,
+      "path": "data/train/pab/mathlib-000452-0000-cf1e185642705b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "cf1e185642705b9109f4c96a5fd8758f755e37b7f22983be827e8a1d146eb914"
+    },
+    {
+      "bytes": 58105,
+      "path": "data/dev/pab/mathlib-000452-0000-ce2d554bd7510b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ce2d554bd7510b1972fa3666250b91326688382d4492f706cc18866ccff8f834"
+    },
+    {
+      "bytes": 53029,
+      "path": "data/internal_test/pab/mathlib-000452-0000-095775e41a4b66d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "095775e41a4b66d2ffc96b6cf68d17d28c730ffe9087ed5890fb9016920e5469"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000453.json b/manifests/batches/mathlib/000453.json
index dc1f058ecce34808d4f11ee536d3328af7cce679..a68a164622b7feafd2759784d9091f8c8f44de7a 100644
--- a/manifests/batches/mathlib/000453.json
+++ b/manifests/batches/mathlib/000453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000453",
   "batch_fingerprint": "ae5f07e12e5964082f076c215a9febd4411fd7d62be329c51d7750551ecd6014",
   "evidence": {
@@ -3448,29 +3447,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000453-0000-e126e67ff5a32bca.parquet",
-      "sha256": "e126e67ff5a32bca496ac7685302cbe6a756901decc3a4a7ff0cf35ca212ca03",
-      "bytes": 136543,
-      "rows": 29,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/mathlib-000453-0000-7978b8a700f0f245.parquet",
-      "sha256": "7978b8a700f0f2453e06d7646260b1822b24369deaefbbf15483d758d44e0b1c",
-      "bytes": 80700,
-      "rows": 5,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000453-0000-c236296837c3834e.parquet",
-      "sha256": "c236296837c3834e228f724548295973a7f5b7af5ce3dfbceed946d0bbd3c8d6",
-      "bytes": 66030,
-      "rows": 1,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Caratheodory.minCardFinsetOfMemConvexHull_card_le_card",
     "mathlib:Caratheodory.minCardFinsetOfMemConvexHull_nonempty",
@@ -3516,5 +3493,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Combination.lean\",null,null,\"Set.Finite.convexHull_eq_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Combination.lean\",null,null,\"convexHull_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Combination.lean\",null,null,\"convexHull_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136543,
+      "path": "data/train/pd5/mathlib-000453-0000-e126e67ff5a32bca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e126e67ff5a32bca496ac7685302cbe6a756901decc3a4a7ff0cf35ca212ca03"
+    },
+    {
+      "bytes": 80700,
+      "path": "data/dev/pd5/mathlib-000453-0000-7978b8a700f0f245.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7978b8a700f0f2453e06d7646260b1822b24369deaefbbf15483d758d44e0b1c"
+    },
+    {
+      "bytes": 66030,
+      "path": "data/internal_test/pd5/mathlib-000453-0000-c236296837c3834e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c236296837c3834e228f724548295973a7f5b7af5ce3dfbceed946d0bbd3c8d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000454.json b/manifests/batches/mathlib/000454.json
index 244f3a973aa2d1f0893b717f1107320500f4011c..45c189e6ad72353fff8b3ad3ba5e91100e15f29c 100644
--- a/manifests/batches/mathlib/000454.json
+++ b/manifests/batches/mathlib/000454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000454",
   "batch_fingerprint": "28ddfde842fa431f1373662268c0ef197ee472156fee52c68fcd697d2b618c2d",
   "evidence": {
@@ -1248,22 +1247,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000454-0000-7dfafdfc26847324.parquet",
-      "sha256": "7dfafdfc268473241ab0b6a00145fdd83b85e0027f4611201bc26ca54f2b7b43",
-      "bytes": 95176,
-      "rows": 20,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000454-0000-9ef1ce681723ecec.parquet",
-      "sha256": "9ef1ce681723ecec1b0101829a6a900974e66a1e699348dabdbcd518660f24c8",
-      "bytes": 32644,
-      "rows": 1,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Convex.mem_toCone",
     "mathlib:Convex.subset_toCone",
@@ -1291,5 +1275,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Basic.lean\",null,null,\"ConvexCone.salient_iff_not_flat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Basic.lean\",null,null,\"ConvexCone.to_orderedSMul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Basic.lean\",null,null,\"convexHull_toCone_isLeast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95176,
+      "path": "data/train/p52/mathlib-000454-0000-7dfafdfc26847324.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7dfafdfc268473241ab0b6a00145fdd83b85e0027f4611201bc26ca54f2b7b43"
+    },
+    {
+      "bytes": 32644,
+      "path": "data/internal_test/p52/mathlib-000454-0000-9ef1ce681723ecec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9ef1ce681723ecec1b0101829a6a900974e66a1e699348dabdbcd518660f24c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000455.json b/manifests/batches/mathlib/000455.json
index 8ee34bab1cf32d300af5f3df8997f401e3cc16f3..5443d609a890d04a03a57b234078e11ddd09fc17 100644
--- a/manifests/batches/mathlib/000455.json
+++ b/manifests/batches/mathlib/000455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000455",
   "batch_fingerprint": "cb577a0d0c66037d9cea0bc3b8268384b7f1aee96e06ff2802e725d9247dbab9",
   "evidence": {
@@ -944,7 +943,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000456.json b/manifests/batches/mathlib/000456.json
index f2a1190585539baef472a7cc15d637ad9d3daafa..c3fb117f315b83c634e46afe56893eeba3ab71de 100644
--- a/manifests/batches/mathlib/000456.json
+++ b/manifests/batches/mathlib/000456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000456",
   "batch_fingerprint": "8b7a3a5867a4e95a0aa686006eecc7e96a0bc6d8759a2c9153b659444a6a9a79",
   "evidence": {
@@ -1014,29 +1013,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000456-0000-16c883ed2d2b4e1b.parquet",
-      "sha256": "16c883ed2d2b4e1b51ca65464d273718935415b5e585f79f7204dabe68c0a120",
-      "bytes": 59146,
-      "rows": 10,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/mathlib-000456-0000-8a8cbb2b6f97b123.parquet",
-      "sha256": "8a8cbb2b6f97b123c6c7da04d900a476d248a43f0c438e224e8de33a7103d283",
-      "bytes": 41154,
-      "rows": 1,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000456-0000-c80cf2e2ec15134c.parquet",
-      "sha256": "c80cf2e2ec15134c326cbd65a0cfcc4b856e00d2871d62cfce1be2df31129c76",
-      "bytes": 34668,
-      "rows": 1,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PointedCone.mem_dual",
     "mathlib:PointedCone.toConvexCone_injective",
@@ -1056,5 +1033,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Pointed.lean\",null,null,\"PointedCone.mem_dual\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Pointed.lean\",null,null,\"PointedCone.toConvexCone_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Pointed.lean\",null,null,\"PointedCone.toConvexCone_pointed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59146,
+      "path": "data/train/p90/mathlib-000456-0000-16c883ed2d2b4e1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "16c883ed2d2b4e1b51ca65464d273718935415b5e585f79f7204dabe68c0a120"
+    },
+    {
+      "bytes": 41154,
+      "path": "data/dev/p90/mathlib-000456-0000-8a8cbb2b6f97b123.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8a8cbb2b6f97b123c6c7da04d900a476d248a43f0c438e224e8de33a7103d283"
+    },
+    {
+      "bytes": 34668,
+      "path": "data/internal_test/p90/mathlib-000456-0000-c80cf2e2ec15134c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c80cf2e2ec15134c326cbd65a0cfcc4b856e00d2871d62cfce1be2df31129c76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000457.json b/manifests/batches/mathlib/000457.json
index ee40c7ffd79a84e9dfaf94b809b5d162d7e56653..ded5d84704fcf3d6e7000b2b7b589b7c24375d05 100644
--- a/manifests/batches/mathlib/000457.json
+++ b/manifests/batches/mathlib/000457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000457",
   "batch_fingerprint": "2947db3fe847eb4a5db4bae3da775474e15c4f29ec8589a3356d56edbff18fd3",
   "evidence": {
@@ -645,15 +644,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000457-0000-5e66fb2909d6bd00.parquet",
-      "sha256": "5e66fb2909d6bd00d15aaf365b29435de0484b6e8d41b5c05b71ef82ac2dbe41",
-      "bytes": 85284,
-      "rows": 10,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProperCone.comap_comap",
     "mathlib:ProperCone.hyperplane_separation_of_nmem",
@@ -671,5 +662,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Proper.lean\",null,null,\"ProperCone.nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Proper.lean\",null,null,\"ProperCone.pointed_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Cone/Proper.lean\",null,null,\"ProperCone.toPointedCone_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85284,
+      "path": "data/train/pca/mathlib-000457-0000-5e66fb2909d6bd00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5e66fb2909d6bd00d15aaf365b29435de0484b6e8d41b5c05b71ef82ac2dbe41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000458.json b/manifests/batches/mathlib/000458.json
index e39b51184d0b8f17b3f5111aacd4b32cec2ffa14..86aed959fdf207c9617ca1bec78d484da50e5c94 100644
--- a/manifests/batches/mathlib/000458.json
+++ b/manifests/batches/mathlib/000458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000458",
   "batch_fingerprint": "6fe729a37db162fadea30b1184f6d3ce95f3140ad9edce26d6bc88d438ed75fd",
   "evidence": {
@@ -2450,29 +2449,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000458-0000-5f654b937dfc68db.parquet",
-      "sha256": "5f654b937dfc68db20d85422335aff861c43f9a859accc23daf3fa016178464f",
-      "bytes": 283503,
-      "rows": 86,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/mathlib-000458-0000-8a19ccb305a12d21.parquet",
-      "sha256": "8a19ccb305a12d21dafb778b56d49c4464143431513a9736e97caa37ae534952",
-      "bytes": 69874,
-      "rows": 10,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000458-0000-992d0c95ea0807ed.parquet",
-      "sha256": "992d0c95ea0807edbeb336910c5eafba88561cc7bd9e38bd55f7466c89776d57",
-      "bytes": 71712,
-      "rows": 15,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntitoneOn.concaveOn_of_deriv",
     "mathlib:ConcaveOn.antitoneOn_deriv",
@@ -2558,5 +2535,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/EGauge.lean\",null,null,\"le_egauge_ball_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/EGauge.lean\",null,null,\"le_egauge_closedBall_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/EGauge.lean\",null,null,\"le_egauge_smul_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283503,
+      "path": "data/train/p11/mathlib-000458-0000-5f654b937dfc68db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "5f654b937dfc68db20d85422335aff861c43f9a859accc23daf3fa016178464f"
+    },
+    {
+      "bytes": 69874,
+      "path": "data/dev/p11/mathlib-000458-0000-8a19ccb305a12d21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8a19ccb305a12d21dafb778b56d49c4464143431513a9736e97caa37ae534952"
+    },
+    {
+      "bytes": 71712,
+      "path": "data/internal_test/p11/mathlib-000458-0000-992d0c95ea0807ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "992d0c95ea0807edbeb336910c5eafba88561cc7bd9e38bd55f7466c89776d57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000459.json b/manifests/batches/mathlib/000459.json
index c8be7018ac68a70e1c0cf0304c0661713acc8bcc..5f078bad820d7092760059dc171a5438dcbac068 100644
--- a/manifests/batches/mathlib/000459.json
+++ b/manifests/batches/mathlib/000459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000459",
   "batch_fingerprint": "87d65a4b6605415fe82de954418af51d314851175be2fce3ce07b4cd2e4fc2ce",
   "evidence": {
@@ -1049,22 +1048,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000459-0000-baa9afa7167750b2.parquet",
-      "sha256": "baa9afa7167750b2c542f39f5e87a7955f0945c7a9fd810b74019117ff0cb325",
-      "bytes": 92076,
-      "rows": 18,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000459-0000-56ab5ecd21faa7b5.parquet",
-      "sha256": "56ab5ecd21faa7b52c1e0e08f9d0f0cc2ed0960853b857ca5ab37da63817136b",
-      "bytes": 54779,
-      "rows": 3,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsExposed.eq_inter_halfspace'",
     "mathlib:IsExposed.inter_left",
@@ -1082,5 +1066,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Exposed.lean\",null,null,\"IsExposed.subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Exposed.lean\",null,null,\"isExposed_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Exposed.lean\",null,null,\"mem_exposedPoints_iff_exposed_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92076,
+      "path": "data/train/p01/mathlib-000459-0000-baa9afa7167750b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "baa9afa7167750b2c542f39f5e87a7955f0945c7a9fd810b74019117ff0cb325"
+    },
+    {
+      "bytes": 54779,
+      "path": "data/internal_test/p01/mathlib-000459-0000-56ab5ecd21faa7b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "56ab5ecd21faa7b52c1e0e08f9d0f0cc2ed0960853b857ca5ab37da63817136b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000460.json b/manifests/batches/mathlib/000460.json
index 1133e99547222c2d99eecac18d6814f59913e308..2c3ef669443c6ad47969682ffa667d39ce2ca7bf 100644
--- a/manifests/batches/mathlib/000460.json
+++ b/manifests/batches/mathlib/000460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000460",
   "batch_fingerprint": "5fc152dd726e71f508c57942d421f6187160e589799f10c9b3387620f8ae2c91",
   "evidence": {
@@ -4081,29 +4080,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000460-0000-5ac590a9f1a73a31.parquet",
-      "sha256": "5ac590a9f1a73a3138b3aee81b4520ff8899cca2872eea5e88ba2d2027b4a722",
-      "bytes": 238883,
-      "rows": 59,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/mathlib-000460-0000-b166c1656dadcf5f.parquet",
-      "sha256": "b166c1656dadcf5f4278b6d730123301d53c3c13cb18e0808c37bd1065eb7c6c",
-      "bytes": 68935,
-      "rows": 6,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000460-0000-982f9258b9084717.parquet",
-      "sha256": "982f9258b9084717e538369f8666e1b4b1ccc6a2f6fa0fbca81687a8fe1ec871",
-      "bytes": 55629,
-      "rows": 2,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Convex.mem_extremePoints_iff_convex_diff",
     "mathlib:ConvexOn.add",
@@ -4171,5 +4148,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Function.lean\",null,null,\"convexOn_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Function.lean\",null,null,\"neg_concaveOn_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Function.lean\",null,null,\"neg_strictConcaveOn_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238883,
+      "path": "data/train/pe6/mathlib-000460-0000-5ac590a9f1a73a31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "5ac590a9f1a73a3138b3aee81b4520ff8899cca2872eea5e88ba2d2027b4a722"
+    },
+    {
+      "bytes": 68935,
+      "path": "data/dev/pe6/mathlib-000460-0000-b166c1656dadcf5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b166c1656dadcf5f4278b6d730123301d53c3c13cb18e0808c37bd1065eb7c6c"
+    },
+    {
+      "bytes": 55629,
+      "path": "data/internal_test/pe6/mathlib-000460-0000-982f9258b9084717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "982f9258b9084717e538369f8666e1b4b1ccc6a2f6fa0fbca81687a8fe1ec871"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000461.json b/manifests/batches/mathlib/000461.json
index 97072a7604fa5a2ced7af73748ff1d68954ab37e..cfb96f7c63623460999d9e7e62bb7d127efd4fc2 100644
--- a/manifests/batches/mathlib/000461.json
+++ b/manifests/batches/mathlib/000461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000461",
   "batch_fingerprint": "27c00245e6551a2874b83f03d384a9d9ee71a35417d3f5a87abb9c7744df3129",
   "evidence": {
@@ -3276,29 +3275,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000461-0000-e4f57587c87a0a97.parquet",
-      "sha256": "e4f57587c87a0a97832329e17e79a2aac6cb940d178bc047053e90cec7fcae22",
-      "bytes": 228488,
-      "rows": 56,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/mathlib-000461-0000-91d659b738e74ca4.parquet",
-      "sha256": "91d659b738e74ca41024e85a382574a155ce429a95e9d5ded92dc49d694225a0",
-      "bytes": 36471,
-      "rows": 1,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000461-0000-77f150056cfc1b76.parquet",
-      "sha256": "77f150056cfc1b761a532a158addc9b5772b9258ef0bc7cb7f80844c78638155",
-      "bytes": 68224,
-      "rows": 6,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Balanced.starConvex",
     "mathlib:comap_gauge_nhds_zero_le",
@@ -3360,5 +3337,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/GaugeRescale.lean\",null,null,\"image_gaugeRescaleHomeomorph_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/GaugeRescale.lean\",null,null,\"image_gaugeRescaleHomeomorph_interior\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228488,
+      "path": "data/train/p9c/mathlib-000461-0000-e4f57587c87a0a97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "e4f57587c87a0a97832329e17e79a2aac6cb940d178bc047053e90cec7fcae22"
+    },
+    {
+      "bytes": 36471,
+      "path": "data/dev/p9c/mathlib-000461-0000-91d659b738e74ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "91d659b738e74ca41024e85a382574a155ce429a95e9d5ded92dc49d694225a0"
+    },
+    {
+      "bytes": 68224,
+      "path": "data/internal_test/p9c/mathlib-000461-0000-77f150056cfc1b76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "77f150056cfc1b761a532a158addc9b5772b9258ef0bc7cb7f80844c78638155"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000462.json b/manifests/batches/mathlib/000462.json
index c76e39933778ada93092294ca2246ed7271cf8c9..04f6b269293eddd0fcf8795af6c77a1dd73bd9b5 100644
--- a/manifests/batches/mathlib/000462.json
+++ b/manifests/batches/mathlib/000462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000462",
   "batch_fingerprint": "5dec293d7c4e36aa96c21d07c6e11320f4d7f13aa7ba06ab9bb55dc886bed45d",
   "evidence": {
@@ -1310,22 +1309,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000462-0000-536fffe6266ebbfd.parquet",
-      "sha256": "536fffe6266ebbfda5ec5c32110e8bce4c26c9208cf7141921e10ad66702ac47",
-      "bytes": 86293,
-      "rows": 23,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000462-0000-57eb89561dd612b3.parquet",
-      "sha256": "57eb89561dd612b37375001be44eb7af5a4d00dedb2cf8d0e44634c8bbc2dba9",
-      "bytes": 45965,
-      "rows": 2,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConvexIndependent.injective",
     "mathlib:ConvexIndependent.range",
@@ -1347,5 +1331,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Independent.lean\",null,null,\"ConvexIndependent.injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Independent.lean\",null,null,\"ConvexIndependent.range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Independent.lean\",null,null,\"Subsingleton.convexIndependent\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86293,
+      "path": "data/train/pd5/mathlib-000462-0000-536fffe6266ebbfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "536fffe6266ebbfda5ec5c32110e8bce4c26c9208cf7141921e10ad66702ac47"
+    },
+    {
+      "bytes": 45965,
+      "path": "data/internal_test/pd5/mathlib-000462-0000-57eb89561dd612b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "57eb89561dd612b37375001be44eb7af5a4d00dedb2cf8d0e44634c8bbc2dba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000463.json b/manifests/batches/mathlib/000463.json
index 651baf24deab969998d4657906de4aad7deced1c..df17811aa9e75004729d9e9eab0f82bd2f8ac242 100644
--- a/manifests/batches/mathlib/000463.json
+++ b/manifests/batches/mathlib/000463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000463",
   "batch_fingerprint": "0d7b7179efcd7c3c2c36418bb3e484cda80bd8c25f18cb1fbefb8b6cf9172b71",
   "evidence": {
@@ -1587,29 +1586,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000463-0000-e38a3dd9a677c7be.parquet",
-      "sha256": "e38a3dd9a677c7bed024eef819f6a4284f4fe6ac4ec2e025b9d321c56b711f92",
-      "bytes": 226201,
-      "rows": 48,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/dev/mathlib-000463-0000-8fd0bfeab28ec9ea.parquet",
-      "sha256": "8fd0bfeab28ec9eadcfebd5095b6c896eef445b7285a9612d0aa256a3563566d",
-      "bytes": 42328,
-      "rows": 1,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000463-0000-02a2a9df46f2e26a.parquet",
-      "sha256": "02a2a9df46f2e26ac8b1e656ff91a55686bda013f8037f45df2487ac02831ce3",
-      "bytes": 56306,
-      "rows": 6,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConcaveOn.average_mem_hypograph",
     "mathlib:ConcaveOn.le_map_integral",
@@ -1663,5 +1640,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Intrinsic.lean\",null,null,\"intrinsicInterior_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Intrinsic.lean\",null,null,\"intrinsicInterior_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Intrinsic.lean\",null,null,\"intrinsicInterior_union_intrinsicFrontier\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226201,
+      "path": "data/train/p93/mathlib-000463-0000-e38a3dd9a677c7be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "e38a3dd9a677c7bed024eef819f6a4284f4fe6ac4ec2e025b9d321c56b711f92"
+    },
+    {
+      "bytes": 42328,
+      "path": "data/dev/p93/mathlib-000463-0000-8fd0bfeab28ec9ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8fd0bfeab28ec9eadcfebd5095b6c896eef445b7285a9612d0aa256a3563566d"
+    },
+    {
+      "bytes": 56306,
+      "path": "data/internal_test/p93/mathlib-000463-0000-02a2a9df46f2e26a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "02a2a9df46f2e26ac8b1e656ff91a55686bda013f8037f45df2487ac02831ce3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000464.json b/manifests/batches/mathlib/000464.json
index a994fe5db6bd99257736f0b6f7a27fa04d806058..0967eab71b3d0354145e454afcd068318e999d1b 100644
--- a/manifests/batches/mathlib/000464.json
+++ b/manifests/batches/mathlib/000464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000464",
   "batch_fingerprint": "a8f1fab477645df741fc040054b222966ed56188942d560989fc1e5363aeb704",
   "evidence": {
@@ -1512,29 +1511,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000464-0000-a47f3a709ac96710.parquet",
-      "sha256": "a47f3a709ac9671069f486dadc8797944de20b305c9f06ee1670db1a01424212",
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-      "sha256": "981edbfaa8975eef3d0d58529f98203c4864e8fab77581ebd8bfa931321bbda3",
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-      "rows": 1,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
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-    {
-      "path": "data/internal_test/mathlib-000464-0000-5d11e623fde3caa6.parquet",
-      "sha256": "5d11e623fde3caa65d2c98004f2d6f6714bbb63c4069906a5a85c22c5c74c8fd",
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-      "rows": 3,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConcaveOn.min_le_of_mem_Icc",
     "mathlib:ConcaveOn.min_le_of_mem_segment",
@@ -1594,5 +1571,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Join.lean\",null,null,\"convexJoin_union_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Join.lean\",null,null,\"convexJoin_union_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Join.lean\",null,null,\"mem_convexJoin\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172638,
+      "path": "data/train/p02/mathlib-000464-0000-a47f3a709ac96710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "a47f3a709ac9671069f486dadc8797944de20b305c9f06ee1670db1a01424212"
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+    {
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+      "path": "data/dev/p02/mathlib-000464-0000-981edbfaa8975eef.parquet",
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+      "sha256": "981edbfaa8975eef3d0d58529f98203c4864e8fab77581ebd8bfa931321bbda3"
+    },
+    {
+      "bytes": 67007,
+      "path": "data/internal_test/p02/mathlib-000464-0000-5d11e623fde3caa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5d11e623fde3caa65d2c98004f2d6f6714bbb63c4069906a5a85c22c5c74c8fd"
+    }
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000465.json b/manifests/batches/mathlib/000465.json
index 55bd29f56581e015b4fe999800405e56be0778e6..7711beb4fe294a6a99d3ed22b6195f478dca29df 100644
--- a/manifests/batches/mathlib/000465.json
+++ b/manifests/batches/mathlib/000465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000465",
   "batch_fingerprint": "9c87312f8d84745283e7ba95e7d4b457cb93aefc3a0c30428957a787ae45278e",
   "evidence": {
@@ -676,19 +675,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
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-  "shards": [
-    {
-      "path": "data/train/mathlib-000465-0000-8533e6e787b71e22.parquet",
-      "sha256": "8533e6e787b71e22e565931514c8452d5980e67f49c6d1b052af7978dae720d8",
-      "bytes": 67788,
-      "rows": 8,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:closure_convexHull_extremePoints"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/KreinMilman.lean\",null,null,\"closure_convexHull_extremePoints\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67788,
+      "path": "data/train/pb3/mathlib-000465-0000-8533e6e787b71e22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8533e6e787b71e22e565931514c8452d5980e67f49c6d1b052af7978dae720d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000466.json b/manifests/batches/mathlib/000466.json
index 75662839ec73b47d9672b812f013b552abda9ab9..037991f5e8f2c9d50ef50ba83a74d18f1b22fb53 100644
--- a/manifests/batches/mathlib/000466.json
+++ b/manifests/batches/mathlib/000466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000466",
   "batch_fingerprint": "1547776bb6e9cab3b79ebda6e2b71a72a94b8c9b366ac02d1852074a5ec59166",
   "evidence": {
@@ -986,22 +985,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000466-0000-135b6025d0d953f4.parquet",
-      "sha256": "135b6025d0d953f45b6c4884b398c021a1587b06e0b8e05e2f4a81e702e360b6",
-      "bytes": 156011,
-      "rows": 26,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
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-    {
-      "path": "data/dev/mathlib-000466-0000-3f4496b7efbe67db.parquet",
-      "sha256": "3f4496b7efbe67db15d1834d026d4608e85d9074d75df222e8f7b67c1d68c1a7",
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-      "rows": 4,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConcaveOn.smul''",
     "mathlib:ConcaveOn.smul_convexOn",
@@ -1035,5 +1019,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Normed.lean\",null,null,\"isBounded_convexHull\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Normed.lean\",null,null,\"isConnected_setOf_sameRay_and_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156011,
+      "path": "data/train/p92/mathlib-000466-0000-135b6025d0d953f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "135b6025d0d953f45b6c4884b398c021a1587b06e0b8e05e2f4a81e702e360b6"
+    },
+    {
+      "bytes": 55236,
+      "path": "data/dev/p92/mathlib-000466-0000-3f4496b7efbe67db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3f4496b7efbe67db15d1834d026d4608e85d9074d75df222e8f7b67c1d68c1a7"
+    }
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000467.json b/manifests/batches/mathlib/000467.json
index 6a8366170b53b1db271697006937820f1a67dc82..6b37f99d7de8cd6d3cce0be3bbe4dc3c37772312 100644
--- a/manifests/batches/mathlib/000467.json
+++ b/manifests/batches/mathlib/000467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000467",
   "batch_fingerprint": "3164b7afd90d8ae7de39fe8159c993489e3dcf61f0492b97bb3f11f47993b97c",
   "evidence": {
@@ -590,22 +589,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000467-0000-c2b59fb6667ebfc1.parquet",
-      "sha256": "c2b59fb6667ebfc1b0091b38564fe6f91bddb57249ef907ac677da2baf2cb1fe",
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-      "rows": 12,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/mathlib-000467-0000-6f787c5087ad1ba2.parquet",
-      "sha256": "6f787c5087ad1ba232009642e43a546fe474e79e0df7e2447fb3f8367a4b6dea",
-      "bytes": 67076,
-      "rows": 4,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuasiconvexOn.convex_lt",
     "mathlib:QuasiconvexOn.sup",
@@ -619,5 +603,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 87686,
+      "path": "data/train/p9b/mathlib-000467-0000-c2b59fb6667ebfc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c2b59fb6667ebfc1b0091b38564fe6f91bddb57249ef907ac677da2baf2cb1fe"
+    },
+    {
+      "bytes": 67076,
+      "path": "data/internal_test/p9b/mathlib-000467-0000-6f787c5087ad1ba2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f787c5087ad1ba232009642e43a546fe474e79e0df7e2447fb3f8367a4b6dea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000468.json b/manifests/batches/mathlib/000468.json
index 82f09141d41ad5700752b9f0d450777255aa9782..e7296310e7ae46faabc194d7bc9acc736b26041d 100644
--- a/manifests/batches/mathlib/000468.json
+++ b/manifests/batches/mathlib/000468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000468",
   "batch_fingerprint": "7c28f6e1793b4484f9a9f2d4939d9e54a6c1194a5a5918a828e9e0c2614c5527",
   "evidence": {
@@ -2259,29 +2258,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
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-      "sha256": "b31de8036ad4d68d8a7a10c81e89302957ed867e1a60ce3fb95df09d03cc2c1b",
-      "bytes": 223903,
-      "rows": 51,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
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-      "sha256": "6da3ae4797ed6a1da6c613cde67ae1a1e2cdc9cb9978527b5c066dc780b62fb8",
-      "bytes": 84695,
-      "rows": 9,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000468-0000-c19607830f3d1a18.parquet",
-      "sha256": "c19607830f3d1a18899c98d781635cad4dfee24fe29a64c69f5f046ecf173574",
-      "bytes": 78784,
-      "rows": 6,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Convex.mem_Icc",
     "mathlib:Convex.mem_Ioo",
@@ -2349,5 +2326,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Segment.lean\",null,null,\"segment_same\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223903,
+      "path": "data/train/pb1/mathlib-000468-0000-b31de8036ad4d68d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "b31de8036ad4d68d8a7a10c81e89302957ed867e1a60ce3fb95df09d03cc2c1b"
+    },
+    {
+      "bytes": 84695,
+      "path": "data/dev/pb1/mathlib-000468-0000-6da3ae4797ed6a1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6da3ae4797ed6a1da6c613cde67ae1a1e2cdc9cb9978527b5c066dc780b62fb8"
+    },
+    {
+      "bytes": 78784,
+      "path": "data/internal_test/pb1/mathlib-000468-0000-c19607830f3d1a18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c19607830f3d1a18899c98d781635cad4dfee24fe29a64c69f5f046ecf173574"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000469.json b/manifests/batches/mathlib/000469.json
index 7ed62615087f7397884be21db5621ac689deea3b..d9a64f13d56cfa4453b884c860f85108afadf87f 100644
--- a/manifests/batches/mathlib/000469.json
+++ b/manifests/batches/mathlib/000469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000469",
   "batch_fingerprint": "86ba199de16ebb4016fd06e01e264119c5b773e8000a7d629d7dd06e47ce3dcd",
   "evidence": {
@@ -4108,29 +4107,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000469-0000-e3be379f9c65aae1.parquet",
-      "sha256": "e3be379f9c65aae11be878e6d13a2bc66bf0bd06b0c7f9551fb018ff37ea0a56",
-      "bytes": 308584,
-      "rows": 86,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/mathlib-000469-0000-145094b335366888.parquet",
-      "sha256": "145094b3353668883563d3902730865fa2d21b799141d68c6eed3611ad0bbbb4",
-      "bytes": 62372,
-      "rows": 7,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
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-      "sha256": "5676049ee46e7e691f4c2f6c1eba2ee48706fa7c3e5ab7dbbe5f310d834f70f2",
-      "bytes": 78604,
-      "rows": 15,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineSubspace.WOppSide.map",
     "mathlib:AffineSubspace.WOppSide.trans",
@@ -4206,5 +4183,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 308584,
+      "path": "data/train/pe5/mathlib-000469-0000-e3be379f9c65aae1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "e3be379f9c65aae11be878e6d13a2bc66bf0bd06b0c7f9551fb018ff37ea0a56"
+    },
+    {
+      "bytes": 62372,
+      "path": "data/dev/pe5/mathlib-000469-0000-145094b335366888.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "145094b3353668883563d3902730865fa2d21b799141d68c6eed3611ad0bbbb4"
+    },
+    {
+      "bytes": 78604,
+      "path": "data/internal_test/pe5/mathlib-000469-0000-5676049ee46e7e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5676049ee46e7e691f4c2f6c1eba2ee48706fa7c3e5ab7dbbe5f310d834f70f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000470.json b/manifests/batches/mathlib/000470.json
index b4909bf5e45ee94731dadb70e2d0a25cd171fdea..85a34168abee123c9731af682230d686a1a4fce9 100644
--- a/manifests/batches/mathlib/000470.json
+++ b/manifests/batches/mathlib/000470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000470",
   "batch_fingerprint": "f1b2d29e403024828d5b5459e8ae28b1709db5a35d98511a17ecf4d22b42d555",
   "evidence": {
@@ -3557,15 +3556,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000470-0000-13ce51360b05fffe.parquet",
-      "sha256": "13ce51360b05fffe4f89d5700e1926e9843c04de43bd4281e1cc3ae42893658e",
-      "bytes": 97503,
-      "rows": 20,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConcaveOn.slope_anti_adjacent",
     "mathlib:StrictConcaveOn.secant_strict_mono",
@@ -3579,5 +3570,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Slope.lean\",null,null,\"StrictConcaveOn.slope_anti_adjacent\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 97503,
+      "path": "data/train/p76/mathlib-000470-0000-13ce51360b05fffe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "13ce51360b05fffe4f89d5700e1926e9843c04de43bd4281e1cc3ae42893658e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000471.json b/manifests/batches/mathlib/000471.json
index b2a5b182e6cf49fc52a2a122151ea1c07375e310..a7b05df4ce02a210e0f92cb37b06be945e7b1765 100644
--- a/manifests/batches/mathlib/000471.json
+++ b/manifests/batches/mathlib/000471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000471",
   "batch_fingerprint": "8a97997e8e523528208bb38b2923dcc7c044d23e90a1fd0642586d487ea9cee4",
   "evidence": {
@@ -1112,22 +1111,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000471-0000-4caf92aeb7a35d2a.parquet",
-      "sha256": "4caf92aeb7a35d2af763af7f08badfb9549458d7226887c11d7fe20a9eeabeef",
-      "bytes": 59787,
-      "rows": 11,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000471-0000-0057169717be9a51.parquet",
-      "sha256": "0057169717be9a51b2aa8eb153208bab7566cea0c3b5420453bb975dc64cd235",
-      "bytes": 49220,
-      "rows": 4,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Even.strictConvexOn_pow",
     "mathlib:int_prod_range_pos",
@@ -1139,5 +1123,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean\",null,null,\"int_prod_range_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean\",null,null,\"strictConcaveOn_cos_Icc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean\",null,null,\"strictConcaveOn_sin_Icc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59787,
+      "path": "data/train/p0f/mathlib-000471-0000-4caf92aeb7a35d2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4caf92aeb7a35d2af763af7f08badfb9549458d7226887c11d7fe20a9eeabeef"
+    },
+    {
+      "bytes": 49220,
+      "path": "data/internal_test/p0f/mathlib-000471-0000-0057169717be9a51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0057169717be9a51b2aa8eb153208bab7566cea0c3b5420453bb975dc64cd235"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000472.json b/manifests/batches/mathlib/000472.json
index 55705b8b16dca61f9326f6a647165199602bd856..398816d201e9baf27cce2d82c512f36e36fd2a45 100644
--- a/manifests/batches/mathlib/000472.json
+++ b/manifests/batches/mathlib/000472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000472",
   "batch_fingerprint": "5c1b1a83b7bff091d298bdcb85e00e1c8bebcbe474ee9f3b718257bdce10ade0",
   "evidence": {
@@ -1889,29 +1888,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000472-0000-53afaeb4fa3dceb2.parquet",
-      "sha256": "53afaeb4fa3dceb243b0dc218bb3cde133fdda2e0b853dbc2c122614d054d9b0",
-      "bytes": 188633,
-      "rows": 38,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/mathlib-000472-0000-c4d0b81920280abb.parquet",
-      "sha256": "c4d0b81920280abb98c082eaa19dae44c2b2725c5f57b77a88749a544026d806",
-      "bytes": 76759,
-      "rows": 8,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000472-0000-4fd7c7796c56f326.parquet",
-      "sha256": "4fd7c7796c56f32661885edac70b43d8ab8c5836f9487143d11443cf38af8994",
-      "bytes": 46591,
-      "rows": 2,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:StarConvex.add",
     "mathlib:StarConvex.add_left",
@@ -1951,5 +1928,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Star.lean\",null,null,\"starConvex_iff_pointwise_add_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Star.lean\",null,null,\"starConvex_sUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Star.lean\",null,null,\"starConvex_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188633,
+      "path": "data/train/p67/mathlib-000472-0000-53afaeb4fa3dceb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "53afaeb4fa3dceb243b0dc218bb3cde133fdda2e0b853dbc2c122614d054d9b0"
+    },
+    {
+      "bytes": 76759,
+      "path": "data/dev/p67/mathlib-000472-0000-c4d0b81920280abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c4d0b81920280abb98c082eaa19dae44c2b2725c5f57b77a88749a544026d806"
+    },
+    {
+      "bytes": 46591,
+      "path": "data/internal_test/p67/mathlib-000472-0000-4fd7c7796c56f326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4fd7c7796c56f32661885edac70b43d8ab8c5836f9487143d11443cf38af8994"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000473.json b/manifests/batches/mathlib/000473.json
index eec9e76c8deec73c4b00e5d29e2884019c38c22c..8215cb5d6340e22a3225113ad7820e88665000fa 100644
--- a/manifests/batches/mathlib/000473.json
+++ b/manifests/batches/mathlib/000473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000473",
   "batch_fingerprint": "d3d583f06ae344172424621174c617df0d5dd66fb64ee0992d65d3fe2afb235a",
   "evidence": {
@@ -1759,22 +1758,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000473-0000-d1c94592d3647c88.parquet",
-      "sha256": "d1c94592d3647c88120deef6c54da78288f9944f192c115759276943240216b6",
-      "bytes": 221581,
-      "rows": 38,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000473-0000-0a7eb199fa4eec96.parquet",
-      "sha256": "0a7eb199fa4eec96dadd03311fed06784149d8bdda42e768905d4e4088e2e5bf",
-      "bytes": 69541,
-      "rows": 3,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Directed.strictConvex_iUnion",
     "mathlib:DirectedOn.strictConvex_sUnion",
@@ -1808,5 +1792,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strict.lean\",null,null,\"StrictConvex.preimage_add_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strict.lean\",null,null,\"StrictConvex.preimage_add_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strict.lean\",null,null,\"strictConvex_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221581,
+      "path": "data/train/p84/mathlib-000473-0000-d1c94592d3647c88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d1c94592d3647c88120deef6c54da78288f9944f192c115759276943240216b6"
+    },
+    {
+      "bytes": 69541,
+      "path": "data/internal_test/p84/mathlib-000473-0000-0a7eb199fa4eec96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0a7eb199fa4eec96dadd03311fed06784149d8bdda42e768905d4e4088e2e5bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000474.json b/manifests/batches/mathlib/000474.json
index 7567357cd55e90ebb61164cfdfe5726c612a5187..395ca66b118402d222fce350f57b1c94a14be04b 100644
--- a/manifests/batches/mathlib/000474.json
+++ b/manifests/batches/mathlib/000474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000474",
   "batch_fingerprint": "a9d763bf9a0249abf7aa4ba97a7186723128f1fc104c3dd99cbff342353fd798",
   "evidence": {
@@ -317,22 +316,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000474-0000-dc3a80c90ac08563.parquet",
-      "sha256": "dc3a80c90ac08563440324c218e64aa3341f5c2af4a602d4905f0c5883db6a4c",
-      "bytes": 237455,
-      "rows": 55,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000474-0000-4e6a4366722c4578.parquet",
-      "sha256": "4e6a4366722c457888ae8a94d20d897ac6b6e937c57f5820cbdb787c2e169b8b",
-      "bytes": 62831,
-      "rows": 9,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:StrictConvexSpace.of_norm_add",
     "mathlib:StrictConvexSpace.of_norm_add_ne_two",
@@ -400,5 +384,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strong.lean\",null,null,\"strongConvexOn_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strong.lean\",null,null,\"uniformConcaveOn_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Strong.lean\",null,null,\"uniformConvexOn_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237455,
+      "path": "data/train/pa7/mathlib-000474-0000-dc3a80c90ac08563.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "dc3a80c90ac08563440324c218e64aa3341f5c2af4a602d4905f0c5883db6a4c"
+    },
+    {
+      "bytes": 62831,
+      "path": "data/internal_test/pa7/mathlib-000474-0000-4e6a4366722c4578.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4e6a4366722c457888ae8a94d20d897ac6b6e937c57f5820cbdb787c2e169b8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000475.json b/manifests/batches/mathlib/000475.json
index 1e358da735efdbe516f68a4c767d7120271bf400..5b73d48308e7c310ce300058bd7d4d0a93e6abbf 100644
--- a/manifests/batches/mathlib/000475.json
+++ b/manifests/batches/mathlib/000475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000475",
   "batch_fingerprint": "a7ee9524836b53dd47882a6a37d0116201585583ed4acc671a3d021e9cadfa68",
   "evidence": {
@@ -1442,22 +1441,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000475-0000-21afc0c008b0a371.parquet",
-      "sha256": "21afc0c008b0a371ae6ee32a7dc7c409b880d23a6bc60e1d5e760a573f98167a",
-      "bytes": 131906,
-      "rows": 29,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000475-0000-0f5e79282d974e51.parquet",
-      "sha256": "0f5e79282d974e518b5c4f2cef4bd519bdefdc51c0b9b35cbb9b6e1aeba167c8",
-      "bytes": 63802,
-      "rows": 3,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Convex.add_smul_mem_interior'",
     "mathlib:Convex.add_smul_sub_mem_interior'",
@@ -1485,5 +1469,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Topology.lean\",null,null,\"Convex.strictConvex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Topology.lean\",null,null,\"Set.Finite.isCompact_convexHull\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Convex/Topology.lean\",null,null,\"stdSimplex_subset_closedBall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131906,
+      "path": "data/train/pfc/mathlib-000475-0000-21afc0c008b0a371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "21afc0c008b0a371ae6ee32a7dc7c409b880d23a6bc60e1d5e760a573f98167a"
+    },
+    {
+      "bytes": 63802,
+      "path": "data/internal_test/pfc/mathlib-000475-0000-0f5e79282d974e51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0f5e79282d974e518b5c4f2cef4bd519bdefdc51c0b9b35cbb9b6e1aeba167c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000476.json b/manifests/batches/mathlib/000476.json
index 57e181ff207c718d6518042dc300b6a875e5ea55..f9df21a2137450e5f3a2f367df783e3b154a0fc6 100644
--- a/manifests/batches/mathlib/000476.json
+++ b/manifests/batches/mathlib/000476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000476",
   "batch_fingerprint": "40a02e7c580c006f4e6f100acaff205c78ea59069bde7e213d4c4496e0b13807",
   "evidence": {
@@ -7155,7 +7154,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000477.json b/manifests/batches/mathlib/000477.json
index febf8c1ae6ce9a8ab529494ca29c47d7e50f4484..aa0637bc25f20868da1e258692f125438f6bce57 100644
--- a/manifests/batches/mathlib/000477.json
+++ b/manifests/batches/mathlib/000477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000477",
   "batch_fingerprint": "5afd46edab299d98ef82dc32db4ffaa55b5693cbad025cbc4ced56649ab07b47",
   "evidence": {
@@ -2200,29 +2199,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000477-0000-50e09e3a1fd69b53.parquet",
-      "sha256": "50e09e3a1fd69b53dd60c4664508f06b2eba599088a41989228614e416bd1414",
-      "bytes": 220594,
-      "rows": 38,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/dev/mathlib-000477-0000-8295df27bea96af9.parquet",
-      "sha256": "8295df27bea96af925933afee157be9f1902d5845dc98f235ceff4f9b157eebc",
-      "bytes": 61251,
-      "rows": 4,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000477-0000-ea12d97dfb269a31.parquet",
-      "sha256": "ea12d97dfb269a31119d9ba817f14b0f8c882cc598a99b5aa9857afd8e006259",
-      "bytes": 87076,
-      "rows": 9,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.HasTemperateGrowth.zero",
     "mathlib:SchwartzMap.coeHom_injective",
@@ -2270,5 +2247,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Distribution/SchwartzSpace.lean\",null,null,\"SchwartzMap.seminormAux_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Distribution/SchwartzSpace.lean\",null,null,\"SchwartzMap.seminorm_le_bound'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Distribution/SchwartzSpace.lean\",null,null,\"schwartz_withSeminorms\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220594,
+      "path": "data/train/pfa/mathlib-000477-0000-50e09e3a1fd69b53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "50e09e3a1fd69b53dd60c4664508f06b2eba599088a41989228614e416bd1414"
+    },
+    {
+      "bytes": 61251,
+      "path": "data/dev/pfa/mathlib-000477-0000-8295df27bea96af9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8295df27bea96af925933afee157be9f1902d5845dc98f235ceff4f9b157eebc"
+    },
+    {
+      "bytes": 87076,
+      "path": "data/internal_test/pfa/mathlib-000477-0000-ea12d97dfb269a31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ea12d97dfb269a31119d9ba817f14b0f8c882cc598a99b5aa9857afd8e006259"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000478.json b/manifests/batches/mathlib/000478.json
index f458d351de1231e1925ad9bd0e3119ed486a82bf..9461ff915245ea69887bf285d7754d393be4b94d 100644
--- a/manifests/batches/mathlib/000478.json
+++ b/manifests/batches/mathlib/000478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000478",
   "batch_fingerprint": "c3691628a5c4b3f30fd15c815833bd3146d619b1ae6164cd64d021238b802f7d",
   "evidence": {
@@ -2445,29 +2444,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000478-0000-e437fba65721c8dd.parquet",
-      "sha256": "e437fba65721c8ddbe0414b69fd699cfdb32ada1d91c08321830ad1c28395686",
-      "bytes": 482590,
-      "rows": 62,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/dev/mathlib-000478-0000-1d20c71d2073384e.parquet",
-      "sha256": "1d20c71d2073384e7ab72f07650a94a62ce3dab575ea8aa9e5f6dc6455e1cfa4",
-      "bytes": 36931,
-      "rows": 2,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/mathlib-000478-0000-b862ba1d236e9171.parquet",
-      "sha256": "b862ba1d236e9171a5741c8af3ce66cd76dff4cff564f4916935212a36e1d758",
-      "bytes": 53220,
-      "rows": 2,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.fourierIntegralInv_comm",
     "mathlib:Real.fourierIntegralInv_comp_linearIsometry",
@@ -2531,5 +2508,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/FourierTransform.lean\",null,null,\"Real.vector_fourierIntegral_eq_integral_exp_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/FourierTransform.lean\",null,null,\"VectorFourier.fourierIntegral_smul_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/FourierTransform.lean\",null,null,\"VectorFourier.norm_fourierIntegral_le_integral_norm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 482590,
+      "path": "data/train/pce/mathlib-000478-0000-e437fba65721c8dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "e437fba65721c8ddbe0414b69fd699cfdb32ada1d91c08321830ad1c28395686"
+    },
+    {
+      "bytes": 36931,
+      "path": "data/dev/pce/mathlib-000478-0000-1d20c71d2073384e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1d20c71d2073384e7ab72f07650a94a62ce3dab575ea8aa9e5f6dc6455e1cfa4"
+    },
+    {
+      "bytes": 53220,
+      "path": "data/internal_test/pce/mathlib-000478-0000-b862ba1d236e9171.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b862ba1d236e9171a5741c8af3ce66cd76dff4cff564f4916935212a36e1d758"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000479.json b/manifests/batches/mathlib/000479.json
index a6f331ff374d17c25e059440c22c9fe6482c2732..2d8158c15c2a3e7d96e6d01ab44d965de48acb45 100644
--- a/manifests/batches/mathlib/000479.json
+++ b/manifests/batches/mathlib/000479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000479",
   "batch_fingerprint": "cc178dabfb478993a027b3e0a9ffef3a57e8a89a074fd0ee9d113f0b5946aa38",
   "evidence": {
@@ -4466,15 +4465,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000479-0000-424b4ca9146af635.parquet",
-      "sha256": "424b4ca9146af63561be37519d91b4f62b3eb1818d9f7e627cd21e66aeee9470",
-      "bytes": 63324,
-      "rows": 6,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.fourier_inversion",
     "mathlib:Continuous.fourier_inversion_inv",
@@ -4484,5 +4475,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/Inversion.lean\",null,null,\"Continuous.fourier_inversion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/Inversion.lean\",null,null,\"Continuous.fourier_inversion_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Fourier/Inversion.lean\",null,null,\"MeasureTheory.Integrable.fourier_inversion_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63324,
+      "path": "data/train/pd9/mathlib-000479-0000-424b4ca9146af635.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "424b4ca9146af63561be37519d91b4f62b3eb1818d9f7e627cd21e66aeee9470"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000480.json b/manifests/batches/mathlib/000480.json
index 9782515390c545936d8b9ff495aa94116dc17832..31283fbe56ce68b2c4da899eaf3292f49715e207 100644
--- a/manifests/batches/mathlib/000480.json
+++ b/manifests/batches/mathlib/000480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000480",
   "batch_fingerprint": "718057ae9c8744164d09e435c52bb8f8aedc56e0cad8a43b6f5957b682aa010c",
   "evidence": {
@@ -2515,7 +2514,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000481.json b/manifests/batches/mathlib/000481.json
index 873e851ff0e609b2cbd5344addac8e934ad05af8..11f8ae997289a66a969ed9f4804bddeeeb99e643 100644
--- a/manifests/batches/mathlib/000481.json
+++ b/manifests/batches/mathlib/000481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000481",
   "batch_fingerprint": "a96f9631bb64db91f2d40b8de2ab942dbb3a3f9743e32d563fa4eef1c7fee85d",
   "evidence": {
@@ -2727,22 +2726,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000481-0000-66bf88b73729903e.parquet",
-      "sha256": "66bf88b73729903e42c41fd82cf928c4d9f20fbf9ecffeb5917dfbe189bf5a2c",
-      "bytes": 55518,
-      "rows": 4,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000481-0000-07c6173a9e076d91.parquet",
-      "sha256": "07c6173a9e076d9146ba0e77b2b14db96414cf2808ba414215b1d9befdbcd6c5",
-      "bytes": 48770,
-      "rows": 4,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.GridLines.T_empty",
     "mathlib:MeasureTheory.snorm_le_snorm_fderiv",
@@ -2752,5 +2736,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean\",null,null,\"MeasureTheory.GridLines.T_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean\",null,null,\"MeasureTheory.snorm_le_snorm_fderiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean\",null,null,\"MeasureTheory.snorm_le_snorm_fderiv_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55518,
+      "path": "data/train/pa6/mathlib-000481-0000-66bf88b73729903e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "66bf88b73729903e42c41fd82cf928c4d9f20fbf9ecffeb5917dfbe189bf5a2c"
+    },
+    {
+      "bytes": 48770,
+      "path": "data/internal_test/pa6/mathlib-000481-0000-07c6173a9e076d91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "07c6173a9e076d9146ba0e77b2b14db96414cf2808ba414215b1d9befdbcd6c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000482.json b/manifests/batches/mathlib/000482.json
index 647a39f1b13944b2afa8e3fa873af573385dc67c..49b4b275c467dec29ba7370d6ca933107c84a9ed 100644
--- a/manifests/batches/mathlib/000482.json
+++ b/manifests/batches/mathlib/000482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000482",
   "batch_fingerprint": "0b798604c020eca01db4d7202d95b7a2e78fb81b5ab8d0dd6235950148fc8b7f",
   "evidence": {
@@ -8227,29 +8226,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000482-0000-efe57d2842b3f8a5.parquet",
-      "sha256": "efe57d2842b3f8a58324958b3c6432399d5b951b2ba4ae16d41f4e0cf0e51aae",
-      "bytes": 526500,
-      "rows": 132,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/dev/mathlib-000482-0000-71228c86e9d8eaf5.parquet",
-      "sha256": "71228c86e9d8eaf57152b0ff7b158160759e67486b139804160fb4d8a43f7552",
-      "bytes": 68236,
-      "rows": 6,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/mathlib-000482-0000-5b56b9573e308968.parquet",
-      "sha256": "5b56b9573e308968122d1baa54649b7a0d58559de5fe0f195d27b4e3fea55672",
-      "bytes": 132519,
-      "rows": 31,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DFinsupp.inner_sum",
     "mathlib:DFinsupp.sum_inner",
@@ -8461,5 +8438,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Basic.lean\",null,null,\"real_inner_self_eq_norm_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Basic.lean\",null,null,\"real_inner_smul_self_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Basic.lean\",null,null,\"real_inner_smul_self_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 526500,
+      "path": "data/train/p37/mathlib-000482-0000-efe57d2842b3f8a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 132,
+      "sha256": "efe57d2842b3f8a58324958b3c6432399d5b951b2ba4ae16d41f4e0cf0e51aae"
+    },
+    {
+      "bytes": 68236,
+      "path": "data/dev/p37/mathlib-000482-0000-71228c86e9d8eaf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "71228c86e9d8eaf57152b0ff7b158160759e67486b139804160fb4d8a43f7552"
+    },
+    {
+      "bytes": 132519,
+      "path": "data/internal_test/p37/mathlib-000482-0000-5b56b9573e308968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5b56b9573e308968122d1baa54649b7a0d58559de5fe0f195d27b4e3fea55672"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000483.json b/manifests/batches/mathlib/000483.json
index e76281f6103f68584e19a2264366a9f2e4d39272..5d977655b9a9106d15812781b478daf35a1724e5 100644
--- a/manifests/batches/mathlib/000483.json
+++ b/manifests/batches/mathlib/000483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000483",
   "batch_fingerprint": "4910f4af24962076aafacac34a70e2eac7a00ddb506e623a13eafb42aa460688",
   "evidence": {
@@ -1338,22 +1337,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000483-0000-2156b15290726855.parquet",
-      "sha256": "2156b15290726855221108874ffca304cfd3d23258251e24084f27163b9f0eca",
-      "bytes": 220060,
-      "rows": 33,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000483-0000-9e461007359a22b7.parquet",
-      "sha256": "9e461007359a22b78b8ed58a4e0d70073eb37f25337aa73cabdd7cc4c569257a",
-      "bytes": 126346,
-      "rows": 6,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiffWithinAt.dist",
     "mathlib:DifferentiableAt.dist",
@@ -1397,5 +1381,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Calculus.lean\",null,null,\"hasFDerivWithinAt_euclidean\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Calculus.lean\",null,null,\"hasStrictFDerivAt_euclidean\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Calculus.lean\",null,null,\"hasStrictFDerivAt_norm_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220060,
+      "path": "data/train/p89/mathlib-000483-0000-2156b15290726855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2156b15290726855221108874ffca304cfd3d23258251e24084f27163b9f0eca"
+    },
+    {
+      "bytes": 126346,
+      "path": "data/internal_test/p89/mathlib-000483-0000-9e461007359a22b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9e461007359a22b78b8ed58a4e0d70073eb37f25337aa73cabdd7cc4c569257a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000484.json b/manifests/batches/mathlib/000484.json
index 43b3894b83e6ea87c5f5fb04a003b0a0bd3079ac..0df33497bf533040ac28090e6ab29afc1358476e 100644
--- a/manifests/batches/mathlib/000484.json
+++ b/manifests/batches/mathlib/000484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000484",
   "batch_fingerprint": "becedc2c027d19f4829df554a647aeec2a56c8d7dc2ab6afb5198ec5a9b3be66",
   "evidence": {
@@ -414,22 +413,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000484-0000-6d4d8632e7bf9229.parquet",
-      "sha256": "6d4d8632e7bf9229563f9d809d24314ac1b4191b101af1889adb71aa7d6fdb65",
-      "bytes": 126061,
-      "rows": 16,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000484-0000-adde7f58cf27ddb8.parquet",
-      "sha256": "adde7f58cf27ddb829c8884c9bf97701ae7353f203c0e51fe8acbcb68c46e791",
-      "bytes": 95771,
-      "rows": 5,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiff.euclidean_dist",
     "mathlib:Euclidean.closedBall_eq_image",
@@ -453,5 +437,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/EuclideanDist.lean\",null,null,\"Euclidean.isCompact_closedBall\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/EuclideanDist.lean\",null,null,\"Euclidean.nhds_basis_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/EuclideanDist.lean\",null,null,\"Euclidean.nhds_basis_closedBall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126061,
+      "path": "data/train/pc0/mathlib-000484-0000-6d4d8632e7bf9229.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6d4d8632e7bf9229563f9d809d24314ac1b4191b101af1889adb71aa7d6fdb65"
+    },
+    {
+      "bytes": 95771,
+      "path": "data/internal_test/pc0/mathlib-000484-0000-adde7f58cf27ddb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "adde7f58cf27ddb829c8884c9bf97701ae7353f203c0e51fe8acbcb68c46e791"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000485.json b/manifests/batches/mathlib/000485.json
index 2c12ded172df5a3077c64ad80768cf6be16b321c..0f1cd62300b730568bd8daa484d8099ca235059f 100644
--- a/manifests/batches/mathlib/000485.json
+++ b/manifests/batches/mathlib/000485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000485",
   "batch_fingerprint": "8b778febabd59f9fb1eb8635009057d72292eb4ebdf55c3acd686ab296b7d4be",
   "evidence": {
@@ -1683,22 +1682,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000485-0000-2d32dbc0474c4459.parquet",
-      "sha256": "2d32dbc0474c445926ccd5a80596a55d3b51d42678452b5a881adf2c4926b3a7",
-      "bytes": 207985,
-      "rows": 33,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000485-0000-320c00ba112aaf05.parquet",
-      "sha256": "320c00ba112aaf05b22369616622125ce47ce584df4d1125d66f76677119f554",
-      "bytes": 54013,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCoercive.antilipschitz",
     "mathlib:IsCoercive.isClosed_range",
@@ -1732,5 +1716,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LaxMilgram.lean\",null,null,\"IsCoercive.antilipschitz\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LaxMilgram.lean\",null,null,\"IsCoercive.isClosed_range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LaxMilgram.lean\",null,null,\"IsCoercive.ker_eq_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207985,
+      "path": "data/train/p7e/mathlib-000485-0000-2d32dbc0474c4459.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2d32dbc0474c445926ccd5a80596a55d3b51d42678452b5a881adf2c4926b3a7"
+    },
+    {
+      "bytes": 54013,
+      "path": "data/internal_test/p7e/mathlib-000485-0000-320c00ba112aaf05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "320c00ba112aaf05b22369616622125ce47ce584df4d1125d66f76677119f554"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000486.json b/manifests/batches/mathlib/000486.json
index 5969fa22a2309bb0a60712c81a18141552af7f8c..e1c199e82bc8cdfc0ca614a64c9ed7e00908bdc8 100644
--- a/manifests/batches/mathlib/000486.json
+++ b/manifests/batches/mathlib/000486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000486",
   "batch_fingerprint": "42aafe192fc82ea94e3db5f37ae296bb507919cc35f6476f1f8ba897e8b50c21",
   "evidence": {
@@ -656,15 +655,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000486-0000-33547e5c3a3c01eb.parquet",
-      "sha256": "33547e5c3a3c01eb7b26b65efa625b520e65732bb3baf7e50a7b1749799141d1",
-      "bytes": 111037,
-      "rows": 9,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearPMap.IsFormalAdjoint.le_adjoint",
     "mathlib:LinearPMap.IsFormalAdjoint.symm",
@@ -678,5 +669,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LinearPMap.lean\",null,null,\"LinearPMap.adjointAux_inner\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LinearPMap.lean\",null,null,\"LinearPMap.adjoint_apply_of_dense\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/LinearPMap.lean\",null,null,\"LinearPMap.adjoint_apply_of_not_dense\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111037,
+      "path": "data/train/pf0/mathlib-000486-0000-33547e5c3a3c01eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "33547e5c3a3c01eb7b26b65efa625b520e65732bb3baf7e50a7b1749799141d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000487.json b/manifests/batches/mathlib/000487.json
index a456a0abff4fc2d89bfee544de7616b166fec9da..566e67b9a84455d890aa8f77f1d8760ac4c32e8e 100644
--- a/manifests/batches/mathlib/000487.json
+++ b/manifests/batches/mathlib/000487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000487",
   "batch_fingerprint": "0dcde35c5389bc54133ab25d36ccb1a0976af76ff551c4950b5ba6dd5791cac0",
   "evidence": {
@@ -2291,15 +2290,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000487-0000-3f14ca266cfde99a.parquet",
-      "sha256": "3f14ca266cfde99ab0eb993ef84a6143d8667dbcdeeedfcfd57a2c53de0c16c6",
-      "bytes": 89936,
-      "rows": 14,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.inner_",
     "mathlib:InnerProductSpaceable.add_left_aux2'",
@@ -2317,5 +2308,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/OfNorm.lean\",null,null,\"InnerProductSpaceable.add_left_aux4'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/OfNorm.lean\",null,null,\"InnerProductSpaceable.innerProp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/OfNorm.lean\",null,null,\"InnerProductSpaceable.nat_prop\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89936,
+      "path": "data/train/p68/mathlib-000487-0000-3f14ca266cfde99a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3f14ca266cfde99ab0eb993ef84a6143d8667dbcdeeedfcfd57a2c53de0c16c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000488.json b/manifests/batches/mathlib/000488.json
index e68ece9d401a20cc5ae228059ed57b0b83a7fa75..64b5eb78cd7dd9827180fd8cecabee275f8173c6 100644
--- a/manifests/batches/mathlib/000488.json
+++ b/manifests/batches/mathlib/000488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000488",
   "batch_fingerprint": "e3acf63137eec2ce3c89556bdd8efba4093959e5a6e49b820c5b8f775c955957",
   "evidence": {
@@ -2179,29 +2178,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000488-0000-29e510785bd4a084.parquet",
-      "sha256": "29e510785bd4a084f456a0201a4df301ae8069ba985e71908e14fade77a00043",
-      "bytes": 264556,
-      "rows": 43,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/mathlib-000488-0000-3e33ef6bbf46f3a9.parquet",
-      "sha256": "3e33ef6bbf46f3a922b86bbc51713e384a5b28dea8f3d57bfa8133dee80f98fb",
-      "bytes": 58062,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000488-0000-8d85d4df1a40bbb5.parquet",
-      "sha256": "8d85d4df1a40bbb587322047ee5c355ad42146a1d7645e3824fe5a7c274e983a",
-      "bytes": 90433,
-      "rows": 15,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Orientation.abs_volumeForm_apply_of_orthonormal",
     "mathlib:Orientation.finOrthonormalBasis_orientation",
@@ -2259,5 +2236,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Orthogonal.lean\",null,null,\"Submodule.orthogonal_disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Orthogonal.lean\",null,null,\"Submodule.sub_mem_orthogonal_of_inner_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Orthogonal.lean\",null,null,\"Submodule.sub_mem_orthogonal_of_inner_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264556,
+      "path": "data/train/p72/mathlib-000488-0000-29e510785bd4a084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "29e510785bd4a084f456a0201a4df301ae8069ba985e71908e14fade77a00043"
+    },
+    {
+      "bytes": 58062,
+      "path": "data/dev/p72/mathlib-000488-0000-3e33ef6bbf46f3a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3e33ef6bbf46f3a922b86bbc51713e384a5b28dea8f3d57bfa8133dee80f98fb"
+    },
+    {
+      "bytes": 90433,
+      "path": "data/internal_test/p72/mathlib-000488-0000-8d85d4df1a40bbb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8d85d4df1a40bbb587322047ee5c355ad42146a1d7645e3824fe5a7c274e983a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000489.json b/manifests/batches/mathlib/000489.json
index e7c25c79a7f7562e4e7b7a4c74bfc40e44a545a2..34cdb92c21e8fdd6daf6c7945005c8b4422f6307 100644
--- a/manifests/batches/mathlib/000489.json
+++ b/manifests/batches/mathlib/000489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000489",
   "batch_fingerprint": "4ac9ef87f6fae4d37389b4731bb66376fbb5ea487bb20a85bf0fa5d1e4020f4e",
   "evidence": {
@@ -1790,36 +1789,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000489-0000-e5f38e5818c23bca.parquet",
-      "sha256": "e5f38e5818c23bcae9bd1562ecff4ea57f2b7fe7cbd117003e8e15d85099833d",
-      "bytes": 586712,
-      "rows": 66,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/train/mathlib-000489-0001-7e1e4391e015d6b3.parquet",
-      "sha256": "7e1e4391e015d6b30a82064bca9f109a611c0d76bfcd2cee3f4dd42ddf72d52f",
-      "bytes": 114154,
-      "rows": 5,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/dev/mathlib-000489-0000-dc7e3ab02c45fa9a.parquet",
-      "sha256": "dc7e3ab02c45fa9a5b965657d63f18bcd730689f436bcd191e79ee3436f7be81",
-      "bytes": 76030,
-      "rows": 7,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000489-0000-920ddc67ac80d091.parquet",
-      "sha256": "920ddc67ac80d0919e5b15caf0b641f4a91618dad1de09cdf40fbb4ff8315296",
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-      "rows": 6,
-      "revision": "3bec4551474d2bdb8ab8810e9a03fefd0b9ef03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.toBasis_toOrthonormalBasis",
     "mathlib:Complex.coe_orthonormalBasisOneI",
@@ -1907,5 +1877,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Positive.lean\",null,null,\"ContinuousLinearMap.isPositive_iff_complex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Positive.lean\",null,null,\"ContinuousLinearMap.isPositive_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Positive.lean\",null,null,\"ContinuousLinearMap.nonneg_iff_isPositive\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586712,
+      "path": "data/train/p9f/mathlib-000489-0000-e5f38e5818c23bca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "e5f38e5818c23bcae9bd1562ecff4ea57f2b7fe7cbd117003e8e15d85099833d"
+    },
+    {
+      "bytes": 114154,
+      "path": "data/train/p9f/mathlib-000489-0001-7e1e4391e015d6b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7e1e4391e015d6b30a82064bca9f109a611c0d76bfcd2cee3f4dd42ddf72d52f"
+    },
+    {
+      "bytes": 76030,
+      "path": "data/dev/p9f/mathlib-000489-0000-dc7e3ab02c45fa9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "dc7e3ab02c45fa9a5b965657d63f18bcd730689f436bcd191e79ee3436f7be81"
+    },
+    {
+      "bytes": 78797,
+      "path": "data/internal_test/p9f/mathlib-000489-0000-920ddc67ac80d091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "920ddc67ac80d0919e5b15caf0b641f4a91618dad1de09cdf40fbb4ff8315296"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000490.json b/manifests/batches/mathlib/000490.json
index f7af52adb7824a92c23ca86e6d99d958fdd07072..0a775392b8959f96b61349186532cd7dad2c9054 100644
--- a/manifests/batches/mathlib/000490.json
+++ b/manifests/batches/mathlib/000490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000490",
   "batch_fingerprint": "4a0f64ec795ff5555ceffbf7b284b27a31656d04e66582e86606826dcd5e6746",
   "evidence": {
@@ -6664,19 +6663,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000490-0000-34bdced8938a6627.parquet",
-      "sha256": "34bdced8938a66273960d7b54dda050ce3207b7d09eeeb1cbb5e2a23dfd45632",
-      "bytes": 60853,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrthonormalBasis.prod_apply"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/ProdL2.lean\",null,null,\"OrthonormalBasis.prod_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60853,
+      "path": "data/train/p28/mathlib-000490-0000-34bdced8938a6627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "34bdced8938a66273960d7b54dda050ce3207b7d09eeeb1cbb5e2a23dfd45632"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000491.json b/manifests/batches/mathlib/000491.json
index 7b6c7ff010b68d3e4176562d8979dab96149fd46..f2602123a4fd295670837d42ad30b153dce717f1 100644
--- a/manifests/batches/mathlib/000491.json
+++ b/manifests/batches/mathlib/000491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000491",
   "batch_fingerprint": "cac9b5b77f02916246cc9832f284f28ae19b4d4ea1ac98c0eb0ad9f381ca5ba0",
   "evidence": {
@@ -2038,29 +2037,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000491-0000-c3a739c47482c551.parquet",
-      "sha256": "c3a739c47482c551890aea6bcda4551f411b3c15935bef3a5d907c7e30426763",
-      "bytes": 197275,
-      "rows": 21,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/mathlib-000491-0000-5f6cd8315ece1347.parquet",
-      "sha256": "5f6cd8315ece1347dbe8f95a5dac81d845d9d569cd67af965d17e90bfda3e419",
-      "bytes": 60482,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000491-0000-2f20f3bf0d10ce95.parquet",
-      "sha256": "2f20f3bf0d10ce95776aec47e313994ac8c0c224b939f76651af5ba7762d3451",
-      "bytes": 36366,
-      "rows": 1,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.iInf_rayleigh_eq_iInf_rayleigh_sphere",
     "mathlib:ContinuousLinearMap.iSup_rayleigh_eq_iSup_rayleigh_sphere",
@@ -2086,5 +2063,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Spectrum.lean\",null,null,\"LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Spectrum.lean\",null,null,\"LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_invariant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/Spectrum.lean\",null,null,\"inner_product_apply_eigenvector\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197275,
+      "path": "data/train/p55/mathlib-000491-0000-c3a739c47482c551.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c3a739c47482c551890aea6bcda4551f411b3c15935bef3a5d907c7e30426763"
+    },
+    {
+      "bytes": 60482,
+      "path": "data/dev/p55/mathlib-000491-0000-5f6cd8315ece1347.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5f6cd8315ece1347dbe8f95a5dac81d845d9d569cd67af965d17e90bfda3e419"
+    },
+    {
+      "bytes": 36366,
+      "path": "data/internal_test/p55/mathlib-000491-0000-2f20f3bf0d10ce95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2f20f3bf0d10ce95776aec47e313994ac8c0c224b939f76651af5ba7762d3451"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000492.json b/manifests/batches/mathlib/000492.json
index 2bb7ef3b0f198cd163ee13e4b7091dc2de037ba1..6e666e4dd7feda12cd45577709bca7c7f2a4ca4c 100644
--- a/manifests/batches/mathlib/000492.json
+++ b/manifests/batches/mathlib/000492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000492",
   "batch_fingerprint": "0481f4f1db194c6bdc08bb7de89fab0c76bad9cff1adac9a5ab03fff4e5fcc43",
   "evidence": {
@@ -2175,29 +2174,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000492-0000-2295f71771e95c62.parquet",
-      "sha256": "2295f71771e95c62fcee0c56b282bf797aefe76fcb46691cbcc4f01efe8c9634",
-      "bytes": 271426,
-      "rows": 55,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/mathlib-000492-0000-b0b35dcb7defe8bc.parquet",
-      "sha256": "b0b35dcb7defe8bc75bff6826b493d22d0a45b119e528de35bd5445836834849",
-      "bytes": 57391,
-      "rows": 9,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000492-0000-d67f936623d72259.parquet",
-      "sha256": "d67f936623d72259185c39b754217fadf3d099b7e34446c190ec2d2992df8a92",
-      "bytes": 87033,
-      "rows": 8,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.areaForm",
     "mathlib:Complex.kahler",
@@ -2279,5 +2256,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/TwoDim.lean\",null,null,\"Orientation.rightAngleRotation_rightAngleRotation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/TwoDim.lean\",null,null,\"Orientation.rightAngleRotation_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/TwoDim.lean\",null,null,\"Orientation.rightAngleRotation_trans_rightAngleRotation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271426,
+      "path": "data/train/p22/mathlib-000492-0000-2295f71771e95c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "2295f71771e95c62fcee0c56b282bf797aefe76fcb46691cbcc4f01efe8c9634"
+    },
+    {
+      "bytes": 57391,
+      "path": "data/dev/p22/mathlib-000492-0000-b0b35dcb7defe8bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b0b35dcb7defe8bc75bff6826b493d22d0a45b119e528de35bd5445836834849"
+    },
+    {
+      "bytes": 87033,
+      "path": "data/internal_test/p22/mathlib-000492-0000-d67f936623d72259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d67f936623d72259185c39b754217fadf3d099b7e34446c190ec2d2992df8a92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000493.json b/manifests/batches/mathlib/000493.json
index 6978b4506a2740f55a2c899b5e9075af7d365888..ec73156c0d4a526d173dfc4b37372cff65a589e7 100644
--- a/manifests/batches/mathlib/000493.json
+++ b/manifests/batches/mathlib/000493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000493",
   "batch_fingerprint": "da0315c4be1a3f0811b71ef20f5dfe4192af3cfde762a46c062917be2fe37d01",
   "evidence": {
@@ -1383,22 +1382,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000493-0000-1d163680712f842a.parquet",
-      "sha256": "1d163680712f842a84e2f406248c6c1c2b72684b70a63573dcbd239209dcd616",
-      "bytes": 419459,
-      "rows": 39,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000493-0000-47ff7b350ce236a1.parquet",
-      "sha256": "47ff7b350ce236a16f9e72ce3323ca935ae8548e2527a4e5a9bcd3b1ead8dcae",
-      "bytes": 86760,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HilbertBasis.coe_mk",
     "mathlib:HilbertBasis.finite_spans_dense",
@@ -1446,5 +1430,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/InnerProductSpace/l2Space.lean\",null,null,\"lp.inner_single_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/AbsConvex.lean\",null,null,\"gaugeSeminormFamily_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/AbsConvex.lean\",null,null,\"nhds_basis_abs_convex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419459,
+      "path": "data/train/p92/mathlib-000493-0000-1d163680712f842a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "1d163680712f842a84e2f406248c6c1c2b72684b70a63573dcbd239209dcd616"
+    },
+    {
+      "bytes": 86760,
+      "path": "data/internal_test/p92/mathlib-000493-0000-47ff7b350ce236a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "47ff7b350ce236a16f9e72ce3323ca935ae8548e2527a4e5a9bcd3b1ead8dcae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000494.json b/manifests/batches/mathlib/000494.json
index ce204669add057b83ad76400c98fa9f58315fe6a..48faad2a0d5f399b8d2d3dd566fc081eb5775bf2 100644
--- a/manifests/batches/mathlib/000494.json
+++ b/manifests/batches/mathlib/000494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000494",
   "batch_fingerprint": "e40fe3fd3574f09af8c2b1ae7264b9fcab16a019667e35f3d0509768162d3072",
   "evidence": {
@@ -712,22 +711,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000494-0000-060bf2ecf792b978.parquet",
-      "sha256": "060bf2ecf792b978c36cb8f4cb434ae84d0c722565135888a486d7a37f1ad516",
-      "bytes": 110002,
-      "rows": 27,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000494-0000-042ff978de2f7327.parquet",
-      "sha256": "042ff978de2f7327ead4bf73a9f49409f6704e8d652c991d64138cb71fdd924e",
-      "bytes": 60102,
-      "rows": 8,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Balanced.balancedHull_subset_of_subset",
     "mathlib:Seminorm.continuous_iSup",
@@ -751,5 +735,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean\",null,null,\"nhds_basis_closed_balanced\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean\",null,null,\"subset_balancedCore\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Barrelled.lean\",null,null,\"Seminorm.continuous_iSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110002,
+      "path": "data/train/p8e/mathlib-000494-0000-060bf2ecf792b978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "060bf2ecf792b978c36cb8f4cb434ae84d0c722565135888a486d7a37f1ad516"
+    },
+    {
+      "bytes": 60102,
+      "path": "data/internal_test/p8e/mathlib-000494-0000-042ff978de2f7327.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "042ff978de2f7327ead4bf73a9f49409f6704e8d652c991d64138cb71fdd924e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000495.json b/manifests/batches/mathlib/000495.json
index cc35025c9d87bb49d72be02eda6d7d17fb098b97..9fd9c17f27eb57633c2391271206854fa6e27223 100644
--- a/manifests/batches/mathlib/000495.json
+++ b/manifests/batches/mathlib/000495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000495",
   "batch_fingerprint": "39491388e18104dc81f9fab4e85c5e5f67e83f08a9e3892910b77f6d91cd7fd8",
   "evidence": {
@@ -2086,22 +2085,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000495-0000-0dd60d435f2e5a4b.parquet",
-      "sha256": "0dd60d435f2e5a4bc42fa527795fc895f941c16119cb214c321701c656666764",
-      "bytes": 212242,
-      "rows": 50,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000495-0000-55dceedc81b17dd1.parquet",
-      "sha256": "55dceedc81b17dd1e1d9778f97e4d3c8bd6226128781e8d6f3db55998bdb2e96",
-      "bytes": 70623,
-      "rows": 4,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Balanced.interior",
     "mathlib:Balanced.sub",
@@ -2165,5 +2149,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Bounded.lean\",null,null,\"NormedSpace.isVonNBounded_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Bounded.lean\",null,null,\"NormedSpace.isVonNBounded_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Bounded.lean\",null,null,\"NormedSpace.isVonNBounded_of_isBounded\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212242,
+      "path": "data/train/pbc/mathlib-000495-0000-0dd60d435f2e5a4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "0dd60d435f2e5a4bc42fa527795fc895f941c16119cb214c321701c656666764"
+    },
+    {
+      "bytes": 70623,
+      "path": "data/internal_test/pbc/mathlib-000495-0000-55dceedc81b17dd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "55dceedc81b17dd1e1d9778f97e4d3c8bd6226128781e8d6f3db55998bdb2e96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000496.json b/manifests/batches/mathlib/000496.json
index c713a82a6f654856859ca1928fb12fa4425467cc..3cadf5b6408ac28703cc83a275c13e6f11b7959a 100644
--- a/manifests/batches/mathlib/000496.json
+++ b/manifests/batches/mathlib/000496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000496",
   "batch_fingerprint": "51decfb7d76db35fb4b2d7c38b0d81d0b1ff5072d89dc0cbf3eefbc9d0b7dea6",
   "evidence": {
@@ -882,22 +881,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000496-0000-e588ddf0651ea8a1.parquet",
-      "sha256": "e588ddf0651ea8a1176edc4c40fa1ba0d2b5cc4a06acceb424d6d6ac2d847657",
-      "bytes": 74154,
-      "rows": 9,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000496-0000-aefbc37fb2cd6e4d.parquet",
-      "sha256": "aefbc37fb2cd6e4d2e6f71a1c28c58ce2a920f9cb91fea63c7c6c63fea9d412a",
-      "bytes": 53951,
-      "rows": 2,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.polar_eq_iInter",
     "mathlib:LinearMap.polar_weak_closed",
@@ -911,5 +895,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Polar.lean\",null,null,\"LinearMap.polar_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Polar.lean\",null,null,\"LinearMap.subset_bipolar\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/Polar.lean\",null,null,\"LinearMap.zero_mem_polar\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74154,
+      "path": "data/train/p9b/mathlib-000496-0000-e588ddf0651ea8a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e588ddf0651ea8a1176edc4c40fa1ba0d2b5cc4a06acceb424d6d6ac2d847657"
+    },
+    {
+      "bytes": 53951,
+      "path": "data/internal_test/p9b/mathlib-000496-0000-aefbc37fb2cd6e4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aefbc37fb2cd6e4d2e6f71a1c28c58ce2a920f9cb91fea63c7c6c63fea9d412a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000497.json b/manifests/batches/mathlib/000497.json
index 06d339e17a0ac12562adb9e8b7eb568c002ebfd1..316459787e437d59265c4270f1308cd65bfc55fb 100644
--- a/manifests/batches/mathlib/000497.json
+++ b/manifests/batches/mathlib/000497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000497",
   "batch_fingerprint": "3b5deb1c489827ade255bfda1cc51e62ab76205a942eb359ed73fec4ccdfbade",
   "evidence": {
@@ -444,15 +443,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000497-0000-3a3a742eb27aff0f.parquet",
-      "sha256": "3a3a742eb27aff0f744d7e90623466d2ef090e0a425735e63ea869cd7d08836f",
-      "bytes": 76934,
-      "rows": 6,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.toSeminorm_ball_zero",
     "mathlib:LinearMap.toSeminorm_comp",
@@ -462,5 +453,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/StrongTopology.lean\",null,null,\"UniformConvergenceCLM.locallyConvexSpace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/WeakDual.lean\",null,null,\"LinearMap.toSeminorm_ball_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/LocallyConvex/WeakDual.lean\",null,null,\"LinearMap.toSeminorm_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76934,
+      "path": "data/train/pae/mathlib-000497-0000-3a3a742eb27aff0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3a3a742eb27aff0f744d7e90623466d2ef090e0a425735e63ea869cd7d08836f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000498.json b/manifests/batches/mathlib/000498.json
index c4d5875d3f99b19c04dd068583e59fe3454cb037..b90c02558d2723dbb3a7770e9ae09f0d8408c75b 100644
--- a/manifests/batches/mathlib/000498.json
+++ b/manifests/batches/mathlib/000498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000498",
   "batch_fingerprint": "9c973293a5ff3e7145344dba71eff7191b4060f8371ebeb5eccc96111552160b",
   "evidence": {
@@ -3759,29 +3758,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000498-0000-42288eaafc7d977c.parquet",
-      "sha256": "42288eaafc7d977ceb4e10a78a477edfd794509766819a5347b95de3138683bf",
-      "bytes": 511184,
-      "rows": 109,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/mathlib-000498-0000-cef254cfdf9ce7de.parquet",
-      "sha256": "cef254cfdf9ce7de97170109e6af8047dc268f776cd562937bd2772f49929847",
-      "bytes": 131237,
-      "rows": 12,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000498-0000-e763a71350e6df7c.parquet",
-      "sha256": "e763a71350e6df7ced7934d83d94ee1b48a59d7f2bba60a6e7c6c08f190d7db9",
-      "bytes": 87048,
-      "rows": 10,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Inducing.withSeminorms",
     "mathlib:LinearMap.withSeminorms_induced",
@@ -3897,5 +3874,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Matrix.lean\",null,null,\"Matrix.norm_eq_sup_sup_nnnorm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Matrix.lean\",null,null,\"Matrix.norm_le_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Matrix.lean\",null,null,\"Matrix.norm_lt_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511184,
+      "path": "data/train/p6b/mathlib-000498-0000-42288eaafc7d977c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "42288eaafc7d977ceb4e10a78a477edfd794509766819a5347b95de3138683bf"
+    },
+    {
+      "bytes": 131237,
+      "path": "data/dev/p6b/mathlib-000498-0000-cef254cfdf9ce7de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cef254cfdf9ce7de97170109e6af8047dc268f776cd562937bd2772f49929847"
+    },
+    {
+      "bytes": 87048,
+      "path": "data/internal_test/p6b/mathlib-000498-0000-e763a71350e6df7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e763a71350e6df7ced7934d83d94ee1b48a59d7f2bba60a6e7c6c08f190d7db9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000499.json b/manifests/batches/mathlib/000499.json
index 4f1843b6d637f19f5cec1e7445652d1a65e7af80..7f35aa2d57f3b47f23ce02ff041f2ca57a6e6fc0 100644
--- a/manifests/batches/mathlib/000499.json
+++ b/manifests/batches/mathlib/000499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000499",
   "batch_fingerprint": "e3e86c7682a77e41c41545d38e1e69e326d22682ee890bb9c3949a3870746106",
   "evidence": {
@@ -4616,29 +4615,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000499-0000-d293cf6c5e3dc1ba.parquet",
-      "sha256": "d293cf6c5e3dc1ba83d24a6095ce9ce34cb42778d6cc143fe14e1c5b252f5f9e",
-      "bytes": 181205,
-      "rows": 55,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/mathlib-000499-0000-94475f78d3fc596f.parquet",
-      "sha256": "94475f78d3fc596f044e83515fbe8b000485db776b62c37ccc9bad4c1c3d2e01",
-      "bytes": 46976,
-      "rows": 2,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000499-0000-cfd17b2219e73390.parquet",
-      "sha256": "cfd17b2219e7339084bbdfde92bc81c8d04b38ab7bb33a7d622fc4aee22b3992",
-      "bytes": 56499,
-      "rows": 9,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNReal.add_rpow_le_one_of_add_le_one",
     "mathlib:NNReal.geom_mean_le_arith_mean2_weighted",
@@ -4686,5 +4663,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MeanInequalities.lean\",null,null,\"Real.young_inequality_of_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MeanInequalitiesPow.lean\",null,null,\"NNReal.add_rpow_le_one_of_add_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MeanInequalitiesPow.lean\",null,null,\"NNReal.pow_sum_div_card_le_sum_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181205,
+      "path": "data/train/pbb/mathlib-000499-0000-d293cf6c5e3dc1ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "d293cf6c5e3dc1ba83d24a6095ce9ce34cb42778d6cc143fe14e1c5b252f5f9e"
+    },
+    {
+      "bytes": 46976,
+      "path": "data/dev/pbb/mathlib-000499-0000-94475f78d3fc596f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "94475f78d3fc596f044e83515fbe8b000485db776b62c37ccc9bad4c1c3d2e01"
+    },
+    {
+      "bytes": 56499,
+      "path": "data/internal_test/pbb/mathlib-000499-0000-cfd17b2219e73390.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cfd17b2219e7339084bbdfde92bc81c8d04b38ab7bb33a7d622fc4aee22b3992"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000500.json b/manifests/batches/mathlib/000500.json
index 62e1457ff700aaaac54da528743af994373336b6..1b5ab44fbd95fa07017d15d4d22cdcda1510d8ae 100644
--- a/manifests/batches/mathlib/000500.json
+++ b/manifests/batches/mathlib/000500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000500",
   "batch_fingerprint": "8546909a3731b15546c18fc8331731414c012543ccafb615a832b1af05ac4566",
   "evidence": {
@@ -2709,22 +2708,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000500-0000-714d4bf05ae7cd4f.parquet",
-      "sha256": "714d4bf05ae7cd4fb6526821862cb575b6c34e7b3072ca3424771419e1a04e77",
-      "bytes": 77152,
-      "rows": 11,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000500-0000-e2b24039454119a0.parquet",
-      "sha256": "e2b24039454119a03afd390db3180751e704e6301cad4d4001609e2c3e5fce73",
-      "bytes": 45523,
-      "rows": 2,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MellinConvergent.const_smul",
     "mathlib:MellinConvergent.cpow_smul",
@@ -2748,5 +2732,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MellinTransform.lean\",null,null,\"mellin_const_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MellinTransform.lean\",null,null,\"mellin_cpow_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/MellinTransform.lean\",null,null,\"mellin_div_const\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77152,
+      "path": "data/train/p54/mathlib-000500-0000-714d4bf05ae7cd4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "714d4bf05ae7cd4fb6526821862cb575b6c34e7b3072ca3424771419e1a04e77"
+    },
+    {
+      "bytes": 45523,
+      "path": "data/internal_test/p54/mathlib-000500-0000-e2b24039454119a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e2b24039454119a03afd390db3180751e704e6301cad4d4001609e2c3e5fce73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000501.json b/manifests/batches/mathlib/000501.json
index 6f7322cb95421e2f90ee59f57777eecb15695768..d751754930a048def7980009809db29206414aae 100644
--- a/manifests/batches/mathlib/000501.json
+++ b/manifests/batches/mathlib/000501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000501",
   "batch_fingerprint": "473a5119b773fe7b29a388332fdec42b4bb0eb6c0ad2f5f9a1ac97e27d2bc717",
   "evidence": {
@@ -1305,29 +1304,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000501-0000-6f3612adc335d9d6.parquet",
-      "sha256": "6f3612adc335d9d6e3bdac2f3761ee9941619f0dfe1f0619e389f6b4ea4e21ca",
-      "bytes": 102609,
-      "rows": 32,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/mathlib-000501-0000-9279e1e01dbbae17.parquet",
-      "sha256": "9279e1e01dbbae17ff248c29c647506ac9df8a9b031ae42236a758c9a44e2d99",
-      "bytes": 58040,
-      "rows": 5,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000501-0000-f23d37e0fcd49a46.parquet",
-      "sha256": "f23d37e0fcd49a462669a87ce9ed6fe167bc1f8b3e4e7e5f37dea6ce3c840990",
-      "bytes": 56211,
-      "rows": 6,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.inv_nhdsWithin_ne_zero",
     "mathlib:Finset.nnnorm_prod_le",
@@ -1391,5 +1368,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Field/Basic.lean\",null,null,\"one_le_norm_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Field/InfiniteSum.lean\",null,null,\"summable_norm_sum_mul_range_of_summable_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Field/InfiniteSum.lean\",null,null,\"tsum_mul_tsum_eq_tsum_sum_range_of_summable_norm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102609,
+      "path": "data/train/p08/mathlib-000501-0000-6f3612adc335d9d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "6f3612adc335d9d6e3bdac2f3761ee9941619f0dfe1f0619e389f6b4ea4e21ca"
+    },
+    {
+      "bytes": 58040,
+      "path": "data/dev/p08/mathlib-000501-0000-9279e1e01dbbae17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9279e1e01dbbae17ff248c29c647506ac9df8a9b031ae42236a758c9a44e2d99"
+    },
+    {
+      "bytes": 56211,
+      "path": "data/internal_test/p08/mathlib-000501-0000-f23d37e0fcd49a46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f23d37e0fcd49a462669a87ce9ed6fe167bc1f8b3e4e7e5f37dea6ce3c840990"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000502.json b/manifests/batches/mathlib/000502.json
index 8f0abcd76327f0afe1e209373f34658cf2d130a1..b076ec164ebe5194986679d61a4aad749236a811 100644
--- a/manifests/batches/mathlib/000502.json
+++ b/manifests/batches/mathlib/000502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000502",
   "batch_fingerprint": "5979a045d93fb09751b395b2d5ac9c8b2400a61ae62dda3661e68a261381f484",
   "evidence": {
@@ -1516,22 +1515,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000502-0000-6e61809fe62cb464.parquet",
-      "sha256": "6e61809fe62cb464fee0da3ae2cedce1d53fecbf9597b07dbe129f41eb4bcad7",
-      "bytes": 57225,
-      "rows": 10,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000502-0000-dac1ef4be650ce25.parquet",
-      "sha256": "dac1ef4be650ce25106a1b4c667b4041fb0ca3dc0dffbeeb3d1fd96dac60a91c",
-      "bytes": 62958,
-      "rows": 6,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCircle.closedBall_eq_univ_of_half_period_le",
     "mathlib:AddCircle.coe_real_preimage_closedBall_period_zero",
@@ -1549,5 +1533,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddCircle.lean\",null,null,\"AddCircle.norm_eq'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddCircle.lean\",null,null,\"AddCircle.norm_le_half_period\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddCircle.lean\",null,null,\"UnitAddCircle.norm_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57225,
+      "path": "data/train/p9c/mathlib-000502-0000-6e61809fe62cb464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6e61809fe62cb464fee0da3ae2cedce1d53fecbf9597b07dbe129f41eb4bcad7"
+    },
+    {
+      "bytes": 62958,
+      "path": "data/internal_test/p9c/mathlib-000502-0000-dac1ef4be650ce25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dac1ef4be650ce25106a1b4c667b4041fb0ca3dc0dffbeeb3d1fd96dac60a91c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000503.json b/manifests/batches/mathlib/000503.json
index cc50cd760af8595de9dfdb08a96dd512023a5e85..833044dc4c0899f327f6e5a16d4790d6de17de22 100644
--- a/manifests/batches/mathlib/000503.json
+++ b/manifests/batches/mathlib/000503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000503",
   "batch_fingerprint": "66306345d6fedf63fcd1416087c4e72bf7cb4855b3f15de5cecdd90a7981f0b3",
   "evidence": {
@@ -634,29 +633,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000503-0000-4fd6665a6e70b8a0.parquet",
-      "sha256": "4fd6665a6e70b8a0c155043425a11e8af5582782db6f8f4aef61911db185ef16",
-      "bytes": 70467,
-      "rows": 11,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/mathlib-000503-0000-133f7864aaf2d9b3.parquet",
-      "sha256": "133f7864aaf2d9b3c7db7802312ed5e2c130d4af40ebd20a5786169249c53d23",
-      "bytes": 48260,
-      "rows": 1,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000503-0000-92aa73cb19997ca8.parquet",
-      "sha256": "92aa73cb19997ca81b1bacb48b0ee6bcba2ad06ff7b1f3b4faa64e9d2458767d",
-      "bytes": 46660,
-      "rows": 1,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:dist_vadd_cancel_right",
     "mathlib:dist_vadd_right",
@@ -676,5 +653,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddTorsor.lean\",null,null,\"edist_vadd_vadd_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddTorsor.lean\",null,null,\"edist_vsub_vsub_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/AddTorsor.lean\",null,null,\"nndist_vsub_vsub_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70467,
+      "path": "data/train/p0c/mathlib-000503-0000-4fd6665a6e70b8a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4fd6665a6e70b8a0c155043425a11e8af5582782db6f8f4aef61911db185ef16"
+    },
+    {
+      "bytes": 48260,
+      "path": "data/dev/p0c/mathlib-000503-0000-133f7864aaf2d9b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "133f7864aaf2d9b3c7db7802312ed5e2c130d4af40ebd20a5786169249c53d23"
+    },
+    {
+      "bytes": 46660,
+      "path": "data/internal_test/p0c/mathlib-000503-0000-92aa73cb19997ca8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "92aa73cb19997ca81b1bacb48b0ee6bcba2ad06ff7b1f3b4faa64e9d2458767d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000504.json b/manifests/batches/mathlib/000504.json
index 6686fbb4a57941c0b1aeb5c9c897b0e7caf133a3..f4c8ea2b8818f094c95a59d760ffa9eb6ed00aff 100644
--- a/manifests/batches/mathlib/000504.json
+++ b/manifests/batches/mathlib/000504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000504",
   "batch_fingerprint": "aba481d6670ee4027e0d4f2a10b80e7d4efc8e706fb64936ee01f9f015f630b9",
   "evidence": {
@@ -2524,29 +2523,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000504-0000-e079649bda75a0e0.parquet",
-      "sha256": "e079649bda75a0e007dcf66b74bd631c4f2d31db0f05532383921a0e89c7ad7f",
-      "bytes": 347240,
-      "rows": 100,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/mathlib-000504-0000-1f94f8dc1c9b4ab0.parquet",
-      "sha256": "1f94f8dc1c9b4ab042ac8a9cab84e45bd0bec2ee1decc213366aa0547b217ab0",
-      "bytes": 57493,
-      "rows": 6,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/mathlib-000504-0000-c4e02580036db6ba.parquet",
-      "sha256": "c4e02580036db6ba478b6bead991b9c6629e288f52aa8f554c9f1837a370d6ad",
-      "bytes": 74293,
-      "rows": 11,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bornology.IsBounded.exists_pos_norm_le'",
     "mathlib:Bornology.IsBounded.exists_pos_norm_lt'",
@@ -2730,5 +2707,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Bounded.lean\",null,null,\"comap_norm_atTop'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Bounded.lean\",null,null,\"isBounded_iff_forall_norm_le'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Bounded.lean\",null,null,\"tendsto_norm_atTop_iff_cobounded'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347240,
+      "path": "data/train/pf2/mathlib-000504-0000-e079649bda75a0e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 100,
+      "sha256": "e079649bda75a0e007dcf66b74bd631c4f2d31db0f05532383921a0e89c7ad7f"
+    },
+    {
+      "bytes": 57493,
+      "path": "data/dev/pf2/mathlib-000504-0000-1f94f8dc1c9b4ab0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1f94f8dc1c9b4ab042ac8a9cab84e45bd0bec2ee1decc213366aa0547b217ab0"
+    },
+    {
+      "bytes": 74293,
+      "path": "data/internal_test/pf2/mathlib-000504-0000-c4e02580036db6ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c4e02580036db6ba478b6bead991b9c6629e288f52aa8f554c9f1837a370d6ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000505.json b/manifests/batches/mathlib/000505.json
index 8b6e6e1a98b8ecf461647c90c38080db548cf6f1..885d391c2f263570c74635c53a00a5ed8a6be9ef 100644
--- a/manifests/batches/mathlib/000505.json
+++ b/manifests/batches/mathlib/000505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000505",
   "batch_fingerprint": "fed7ea9b21db0e7f537189de2f7fb2cb3472579f0f3975afbec57afda54bc291",
   "evidence": {
@@ -401,15 +400,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000505-0000-355aba21952e65f7.parquet",
-      "sha256": "355aba21952e65f73ab67d718a2bc9f2e8ba1bec329583a207dcebf9d7d94ea2",
-      "bytes": 60885,
-      "rows": 12,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.tendsto_cocompact_cocompact_of_norm",
     "mathlib:NormedAddCommGroup.summable_imp_tendsto_of_complete"
@@ -417,5 +408,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/CocompactMap.lean\",null,null,\"Filter.tendsto_cocompact_cocompact_of_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Completeness.lean\",null,null,\"NormedAddCommGroup.summable_imp_tendsto_of_complete\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60885,
+      "path": "data/train/pd9/mathlib-000505-0000-355aba21952e65f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "355aba21952e65f73ab67d718a2bc9f2e8ba1bec329583a207dcebf9d7d94ea2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000506.json b/manifests/batches/mathlib/000506.json
index 0f860a89ad63f1769f66e84315409654d79b373b..b23fda9b9d77bff474ac09af5a67a3bb4b2e54aa 100644
--- a/manifests/batches/mathlib/000506.json
+++ b/manifests/batches/mathlib/000506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000506",
   "batch_fingerprint": "62e9a9438d3aaac1761380b18e07f2bed4b5176c8a29506066e6fc9e0efeceba",
   "evidence": {
@@ -1021,15 +1020,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000506-0000-680384221cae1e38.parquet",
-      "sha256": "680384221cae1e380d350f7f3839da1920b3e4187fc27bb5b6a19876aaf99305",
-      "bytes": 43403,
-      "rows": 4,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniformSpace.Completion.nnnorm_coe",
     "mathlib:pi_norm_const'",
@@ -1041,5 +1032,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Constructions.lean\",null,null,\"pi_norm_const'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Constructions.lean\",null,null,\"pi_norm_le_iff_of_nonneg'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Constructions.lean\",null,null,\"pi_norm_lt_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43403,
+      "path": "data/train/pf6/mathlib-000506-0000-680384221cae1e38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "680384221cae1e380d350f7f3839da1920b3e4187fc27bb5b6a19876aaf99305"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000507.json b/manifests/batches/mathlib/000507.json
index 598ec7643a4358c780e851d494e7b1865bf8ae6f..00b1d71268793fccd248f43c39a0997d42a56b95 100644
--- a/manifests/batches/mathlib/000507.json
+++ b/manifests/batches/mathlib/000507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000507",
   "batch_fingerprint": "11e996b88fd974d17e59035ab56b2df921d747ae8071b842e8fad9a1ce210856",
   "evidence": {
@@ -2131,29 +2130,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000507-0000-ee54cadcbc8f7fd1.parquet",
-      "sha256": "ee54cadcbc8f7fd14bae3cbfe4ec81c3c82038a5be249d94ac21e9ab09e75961",
-      "bytes": 205354,
-      "rows": 52,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/mathlib-000507-0000-771a67b6dc8f9749.parquet",
-      "sha256": "771a67b6dc8f9749ec6d17165c6c0d976d87ef0b1194e0d4834de3715657826a",
-      "bytes": 49861,
-      "rows": 4,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/mathlib-000507-0000-80e4a417d39f10b1.parquet",
-      "sha256": "80e4a417d39f10b1c9e32212f63d0e82206aa944288cec33809b5e2f0ff6e848",
-      "bytes": 49497,
-      "rows": 4,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NormedAddGroupHom.Equalizer.comm_sq\u2082",
     "mathlib:NormedAddGroupHom.Equalizer.comp_\u03b9_eq",
@@ -2225,5 +2202,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Hom.lean\",null,null,\"NormedAddGroupHom.toAddMonoidHom_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Hom.lean\",null,null,\"NormedAddGroupHom.zero_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Hom.lean\",null,null,\"exists_pos_bound_of_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205354,
+      "path": "data/train/pe5/mathlib-000507-0000-ee54cadcbc8f7fd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "ee54cadcbc8f7fd14bae3cbfe4ec81c3c82038a5be249d94ac21e9ab09e75961"
+    },
+    {
+      "bytes": 49861,
+      "path": "data/dev/pe5/mathlib-000507-0000-771a67b6dc8f9749.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "771a67b6dc8f9749ec6d17165c6c0d976d87ef0b1194e0d4834de3715657826a"
+    },
+    {
+      "bytes": 49497,
+      "path": "data/internal_test/pe5/mathlib-000507-0000-80e4a417d39f10b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "80e4a417d39f10b1c9e32212f63d0e82206aa944288cec33809b5e2f0ff6e848"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000508.json b/manifests/batches/mathlib/000508.json
index 118afcf204d01bbfd66b51830b0d6ad5f2f92c9c..9ea275d4eb810162f0773016b789b7f5fc80700c 100644
--- a/manifests/batches/mathlib/000508.json
+++ b/manifests/batches/mathlib/000508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000508",
   "batch_fingerprint": "9385a144fb3f20c61117fb9f4d2481add0ce80514fc8a089cc6737da3fa81dae",
   "evidence": {
@@ -1017,29 +1016,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000508-0000-8d8f8ebd33457362.parquet",
-      "sha256": "8d8f8ebd33457362c82a7dd92a3b493ed16925711172a32b7e8928aea7b04fa4",
-      "bytes": 81510,
-      "rows": 16,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/mathlib-000508-0000-1a77400e0e7865a6.parquet",
-      "sha256": "1a77400e0e7865a69b4a24a15cb9d504c83c34c228407c1793653b4fb67e8bb2",
-      "bytes": 56064,
-      "rows": 5,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/mathlib-000508-0000-937fa402763cf2d0.parquet",
-      "sha256": "937fa402763cf2d05bf1185760ca95ec0d678a03a235efbaccac59e60c306051",
-      "bytes": 56083,
-      "rows": 2,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NormedAddGroupHom.completion_comp",
     "mathlib:NormedAddGroupHom.completion_id",
@@ -1063,5 +1040,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/InfiniteSum.lean\",null,null,\"cauchySeq_range_of_norm_bounded\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/InfiniteSum.lean\",null,null,\"summable_iff_vanishing_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/InfiniteSum.lean\",null,null,\"tsum_of_nnnorm_bounded\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81510,
+      "path": "data/train/p67/mathlib-000508-0000-8d8f8ebd33457362.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8d8f8ebd33457362c82a7dd92a3b493ed16925711172a32b7e8928aea7b04fa4"
+    },
+    {
+      "bytes": 56064,
+      "path": "data/dev/p67/mathlib-000508-0000-1a77400e0e7865a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1a77400e0e7865a69b4a24a15cb9d504c83c34c228407c1793653b4fb67e8bb2"
+    },
+    {
+      "bytes": 56083,
+      "path": "data/internal_test/p67/mathlib-000508-0000-937fa402763cf2d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "937fa402763cf2d05bf1185760ca95ec0d678a03a235efbaccac59e60c306051"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000509.json b/manifests/batches/mathlib/000509.json
index ed7fb6d05af11955076b06cb2357486b7ce874ba..e956f83d39b834f4d9b09608c167dd1ca0cac142 100644
--- a/manifests/batches/mathlib/000509.json
+++ b/manifests/batches/mathlib/000509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000509",
   "batch_fingerprint": "e9d6e27bd3a9a4700bec2e017d3104227fbb0ae2de3d74e43d0ca635767b663e",
   "evidence": {
@@ -107,15 +106,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000509-0000-c6b9c63c7b15f648.parquet",
-      "sha256": "c6b9c63c7b15f64857be5e4ea0acd02145249fcea8feb0fa1c0d6b67f57b4a0b",
-      "bytes": 36765,
-      "rows": 6,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.abs_le_floor_nnreal_iff",
     "mathlib:Int.norm_natCast",
@@ -131,5 +122,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Int.lean\",null,null,\"norm_zpow_le_mul_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Lemmas.lean\",null,null,\"eventually_nnnorm_sub_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Lemmas.lean\",null,null,\"eventually_norm_sub_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 36765,
+      "path": "data/train/p1a/mathlib-000509-0000-c6b9c63c7b15f648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c6b9c63c7b15f64857be5e4ea0acd02145249fcea8feb0fa1c0d6b67f57b4a0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000510.json b/manifests/batches/mathlib/000510.json
index 18c0eb6ea1bd72253a663bef60661fec3a3e80d3..e24b2cda9fce0a89b2278bc641992940e3e20652 100644
--- a/manifests/batches/mathlib/000510.json
+++ b/manifests/batches/mathlib/000510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000510",
   "batch_fingerprint": "9a5dd75ca810f672745350fa5ebbc8d49123af184a159bd270cc73c70e0df2c9",
   "evidence": {
@@ -1136,29 +1135,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000510-0000-6f5a3804bd12ad86.parquet",
-      "sha256": "6f5a3804bd12ad86f7395a77b44b9cb15d7573b55b3c79442f82d605214c1f92",
-      "bytes": 245134,
-      "rows": 69,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/mathlib-000510-0000-7b57cd6d6538c54c.parquet",
-      "sha256": "7b57cd6d6538c54cee87f44c4daca67502b17d6e67749f4852981256a4b97eeb",
-      "bytes": 44459,
-      "rows": 5,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/mathlib-000510-0000-c79fa74a9085882d.parquet",
-      "sha256": "c79fa74a9085882d116bd6a51464b29f3821ad2e771c09f544df7fe252e9007f",
-      "bytes": 50953,
-      "rows": 6,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bornology.IsBounded.inv",
     "mathlib:Bornology.IsBounded.mul",
@@ -1268,5 +1245,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Quotient.lean\",null,null,\"quotient_norm_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Quotient.lean\",null,null,\"quotient_norm_mk_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Quotient.lean\",null,null,\"quotient_norm_sub_rev\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245134,
+      "path": "data/train/p99/mathlib-000510-0000-6f5a3804bd12ad86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "6f5a3804bd12ad86f7395a77b44b9cb15d7573b55b3c79442f82d605214c1f92"
+    },
+    {
+      "bytes": 44459,
+      "path": "data/dev/p99/mathlib-000510-0000-7b57cd6d6538c54c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7b57cd6d6538c54cee87f44c4daca67502b17d6e67749f4852981256a4b97eeb"
+    },
+    {
+      "bytes": 50953,
+      "path": "data/internal_test/p99/mathlib-000510-0000-c79fa74a9085882d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c79fa74a9085882d116bd6a51464b29f3821ad2e771c09f544df7fe252e9007f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000511.json b/manifests/batches/mathlib/000511.json
index da1a8bc1a20a1aabba2aaefbb4d55a0792960122..8d206021fbd255cd5bfd209fa7aef9d2c3fcc944 100644
--- a/manifests/batches/mathlib/000511.json
+++ b/manifests/batches/mathlib/000511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000511",
   "batch_fingerprint": "fd442312dd3600ea4c3c8bd7dd3c9aea4cae3e4efabd21e0df354da9c2f380e8",
   "evidence": {
@@ -590,19 +589,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000511-0000-c7673c8d3a005aca.parquet",
-      "sha256": "c7673c8d3a005aca623aff6081cd6545cee32801e4657e69a85c83b964d82dcd",
-      "bytes": 54879,
-      "rows": 2,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.norm_cast_rat"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Rat.lean\",null,null,\"Int.norm_cast_rat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54879,
+      "path": "data/train/p49/mathlib-000511-0000-c7673c8d3a005aca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c7673c8d3a005aca623aff6081cd6545cee32801e4657e69a85c83b964d82dcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000512.json b/manifests/batches/mathlib/000512.json
index 845224dcbecd75ec3cc2f7c26a200827f45bed5d..29de4f8b4b51e21d2c75151c231f71ec7d895790 100644
--- a/manifests/batches/mathlib/000512.json
+++ b/manifests/batches/mathlib/000512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000512",
   "batch_fingerprint": "3abaeb5c6cb5f4e58d5c3c544647b83d63493b3fa182d000e6df8bb431994dfe",
   "evidence": {
@@ -806,7 +805,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000513.json b/manifests/batches/mathlib/000513.json
index 684bd5ddeb9c960f8016bd134d7d2c165384c5dc..6789e8cec4eab53b9d36e638f16923fee373c247 100644
--- a/manifests/batches/mathlib/000513.json
+++ b/manifests/batches/mathlib/000513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000513",
   "batch_fingerprint": "31ede3cf636dbde0c4a11ea47332008606cc2095b435c1e1b0d3842068debd64",
   "evidence": {
@@ -1404,22 +1403,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000513-0000-8647c15e169c789c.parquet",
-      "sha256": "8647c15e169c789c0179ef84c6123a4e71091f83d570527ef956e28cfd4301ae",
-      "bytes": 58753,
-      "rows": 10,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/mathlib-000513-0000-0a8b808ce4f074ce.parquet",
-      "sha256": "0a8b808ce4f074ceb198c5075e844ccbbd6439d37756d3d433e1ed777de4ee17",
-      "bytes": 49213,
-      "rows": 2,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddGroupSeminorm.smul_sup",
     "mathlib:GroupSeminorm.mul_bddBelow_range_add",
@@ -1437,5 +1421,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Seminorm.lean\",null,null,\"NonarchAddGroupSeminorm.smul_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Seminorm.lean\",null,null,\"NonarchAddGroupSeminorm.toZeroHom_eq_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Seminorm.lean\",null,null,\"map_sub_le_max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58753,
+      "path": "data/train/pd8/mathlib-000513-0000-8647c15e169c789c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8647c15e169c789c0179ef84c6123a4e71091f83d570527ef956e28cfd4301ae"
+    },
+    {
+      "bytes": 49213,
+      "path": "data/internal_test/pd8/mathlib-000513-0000-0a8b808ce4f074ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0a8b808ce4f074ceb198c5075e844ccbbd6439d37756d3d433e1ed777de4ee17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000514.json b/manifests/batches/mathlib/000514.json
index 2f3d38084540a6065f8da11df4a4b1ec6801ff50..7bcab5524c123bbb4c4f4c5e445e58484bffa9c5 100644
--- a/manifests/batches/mathlib/000514.json
+++ b/manifests/batches/mathlib/000514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000514",
   "batch_fingerprint": "e1c4ce52c1db96fb727d9462a8168d4bc56831e3db206b6d2e309fde39f83815",
   "evidence": {
@@ -741,29 +740,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000514-0000-79dd1473307f199f.parquet",
-      "sha256": "79dd1473307f199fb36de16cc07d4af45669c4faa4cbfeb12540238f0d46feb2",
-      "bytes": 148237,
-      "rows": 33,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/mathlib-000514-0000-2d760f0394d8e1cf.parquet",
-      "sha256": "2d760f0394d8e1cf33cd18a32aa42fdd15389fc89e512e1f2f10930b69ec8701",
-      "bytes": 57793,
-      "rows": 5,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/mathlib-000514-0000-1fe64635b72e77d3.parquet",
-      "sha256": "1fe64635b72e77d3cfa3c7d76407b9bd1501b861b8b0e235017a32e2ab3cd2df",
-      "bytes": 46594,
-      "rows": 2,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntilipschitzWith.le_mul_norm'",
     "mathlib:AntilipschitzWith.le_mul_norm_div",
@@ -829,5 +806,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Uniform.lean\",null,null,\"lipschitzWith_inv_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Uniform.lean\",null,null,\"lipschitzWith_one_norm'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Group/Uniform.lean\",null,null,\"locallyLipschitz_inv_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148237,
+      "path": "data/train/p15/mathlib-000514-0000-79dd1473307f199f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "79dd1473307f199fb36de16cc07d4af45669c4faa4cbfeb12540238f0d46feb2"
+    },
+    {
+      "bytes": 57793,
+      "path": "data/dev/p15/mathlib-000514-0000-2d760f0394d8e1cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2d760f0394d8e1cf33cd18a32aa42fdd15389fc89e512e1f2f10930b69ec8701"
+    },
+    {
+      "bytes": 46594,
+      "path": "data/internal_test/p15/mathlib-000514-0000-1fe64635b72e77d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1fe64635b72e77d3cfa3c7d76407b9bd1501b861b8b0e235017a32e2ab3cd2df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000515.json b/manifests/batches/mathlib/000515.json
index 078e20c14e8ca2462ce3bb0c8631ee1237547124..51fe072765c2d86b4b6b1a46729b2c1e10a8aea6 100644
--- a/manifests/batches/mathlib/000515.json
+++ b/manifests/batches/mathlib/000515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000515",
   "batch_fingerprint": "847a09c62509957a7d124d94c952fd9d01a433ff439b276b5b2297bd1a7039f0",
   "evidence": {
@@ -425,15 +424,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000515-0000-db695786884b4137.parquet",
-      "sha256": "db695786884b41370f8d17ef459d2f75e2f89e0ab6329d1e09f851529dbad1b0",
-      "bytes": 62432,
-      "rows": 13,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:dist_smul_le",
     "mathlib:dist_smul\u2080",
@@ -447,5 +438,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/MulAction.lean\",null,null,\"dist_smul\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/MulAction.lean\",null,null,\"edist_smul\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/MulAction.lean\",null,null,\"norm_smul_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62432,
+      "path": "data/train/pb1/mathlib-000515-0000-db695786884b4137.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "db695786884b41370f8d17ef459d2f75e2f89e0ab6329d1e09f851529dbad1b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000516.json b/manifests/batches/mathlib/000516.json
index 7ea7715b3c875588a5902048ea8f8d46cee0a787..3cd3ae4b939742893155f20cf1422a2a0eaa1f4d 100644
--- a/manifests/batches/mathlib/000516.json
+++ b/manifests/batches/mathlib/000516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000516",
   "batch_fingerprint": "cfbde073b45901454f9f2fec0667bc8aeeb3d51e155703e901021caac6331c31",
   "evidence": {
@@ -1289,22 +1288,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000516-0000-38f5a6922ab0af64.parquet",
-      "sha256": "38f5a6922ab0af6438821742b9c3ffb64b602bb005be19074abd7a572527f9dd",
-      "bytes": 92848,
-      "rows": 23,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/mathlib-000516-0000-491b314618a850e4.parquet",
-      "sha256": "491b314618a850e449c257428a8c26752409ef850fc8fcd78b33e09862d18d74",
-      "bytes": 56062,
-      "rows": 8,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsClosed.upperClosure_pi",
     "mathlib:IsLowerSet.cthickening'",
@@ -1336,5 +1320,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Order/UpperLower.lean\",null,null,\"dist_inf_sup_pi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Order/UpperLower.lean\",null,null,\"dist_mono_left_pi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Normed/Order/UpperLower.lean\",null,null,\"dist_mono_right_pi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92848,
+      "path": "data/train/p9a/mathlib-000516-0000-38f5a6922ab0af64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "38f5a6922ab0af6438821742b9c3ffb64b602bb005be19074abd7a572527f9dd"
+    },
+    {
+      "bytes": 56062,
+      "path": "data/dev/p9a/mathlib-000516-0000-491b314618a850e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "491b314618a850e449c257428a8c26752409ef850fc8fcd78b33e09862d18d74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000517.json b/manifests/batches/mathlib/000517.json
index 609b1f5477737093d58234537e8557f9a7e90e8c..80d30043a62fe0af1ed7a2c1e8ab389d581e13fd 100644
--- a/manifests/batches/mathlib/000517.json
+++ b/manifests/batches/mathlib/000517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000517",
   "batch_fingerprint": "6e23c95607d0afd30a0b958d1307782a5cf6a22ae0bb459bd1aa69f37aad5946",
   "evidence": {
@@ -1206,22 +1205,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000517-0000-9b249b2bed6af094.parquet",
-      "sha256": "9b249b2bed6af094863b690238d29ffb9e54495464904183ba980db3542e4b78",
-      "bytes": 109102,
-      "rows": 25,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/mathlib-000517-0000-1606f21d1c401536.parquet",
-      "sha256": "1606f21d1c4015368ffbed38d163fef4708b935b980bdf86ece9859ebb778736",
-      "bytes": 65409,
-      "rows": 2,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DilationEquiv.smulTorsor_preimage_ball",
     "mathlib:DilationEquiv.smulTorsor_ratio",
@@ -1265,5 +1249,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AddTorsor.lean\",null,null,\"dist_pointReflection_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AddTorsor.lean\",null,null,\"dist_right_midpoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AddTorsor.lean\",null,null,\"dist_self_homothety\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109102,
+      "path": "data/train/p22/mathlib-000517-0000-9b249b2bed6af094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9b249b2bed6af094863b690238d29ffb9e54495464904183ba980db3542e4b78"
+    },
+    {
+      "bytes": 65409,
+      "path": "data/dev/p22/mathlib-000517-0000-1606f21d1c401536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1606f21d1c4015368ffbed38d163fef4708b935b980bdf86ece9859ebb778736"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000518.json b/manifests/batches/mathlib/000518.json
index 07df5a25852a3b0adddabcee70e13d4373e5da96..04dd8d999a6321ad73b920c7d8dd89b1a6e0f887 100644
--- a/manifests/batches/mathlib/000518.json
+++ b/manifests/batches/mathlib/000518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000518",
   "batch_fingerprint": "6451af68acd27f902a50db6e8ab320a35987f941d618ef473f916572bd8eac5a",
   "evidence": {
@@ -2743,22 +2742,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000518-0000-65cf46cc8afc6775.parquet",
-      "sha256": "65cf46cc8afc67758b476b27f9964b700383758e6a373004be48f83c3a810148",
-      "bytes": 124233,
-      "rows": 26,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000518-0000-d2470a0d3e41a2b3.parquet",
-      "sha256": "d2470a0d3e41a2b3f10c6dd980c2f391ba1ff71ca4d9161561063dd04d5f21f2",
-      "bytes": 53174,
-      "rows": 5,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineBasis.centroid_mem_interior_convexHull",
     "mathlib:AffineIsometry.coe_toAffineMap",
@@ -2802,5 +2786,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AffineIsometry.lean\",null,null,\"LinearIsometry.toAffineIsometry_linearIsometry\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AffineIsometry.lean\",null,null,\"LinearIsometryEquiv.coe_toAffineIsometryEquiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/AffineIsometry.lean\",null,null,\"LinearIsometryEquiv.toAffineIsometryEquiv_linearIsometryEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124233,
+      "path": "data/train/pdb/mathlib-000518-0000-65cf46cc8afc6775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "65cf46cc8afc67758b476b27f9964b700383758e6a373004be48f83c3a810148"
+    },
+    {
+      "bytes": 53174,
+      "path": "data/internal_test/pdb/mathlib-000518-0000-d2470a0d3e41a2b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d2470a0d3e41a2b3f10c6dd980c2f391ba1ff71ca4d9161561063dd04d5f21f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000519.json b/manifests/batches/mathlib/000519.json
index 899fe73f3361a91326b17c1cc5c245522c46daca..07abc29913d63f23786d1a643f55f7ff86df95c4 100644
--- a/manifests/batches/mathlib/000519.json
+++ b/manifests/batches/mathlib/000519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000519",
   "batch_fingerprint": "ac74e2aac68d822521c2b917a7607d6fd8dbea35fa9eaff925ddb676ca675909",
   "evidence": {
@@ -113,7 +112,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000520.json b/manifests/batches/mathlib/000520.json
index f24bd1ef04f0cc96871fe92e0114bf3e867bd48a..5c663f8cab2d8494ddbaa5d57115df658d198911 100644
--- a/manifests/batches/mathlib/000520.json
+++ b/manifests/batches/mathlib/000520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000520",
   "batch_fingerprint": "6cf2a91695e74ee48d3fe32a1a15c1a64e6de13e8188392e19037fd3be19093c",
   "evidence": {
@@ -1844,29 +1843,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000520-0000-34022306a9acf59f.parquet",
-      "sha256": "34022306a9acf59fad11a8d3facbf3176fc7ef7cf38ca61fbec686d1d505fcab",
-      "bytes": 222543,
-      "rows": 22,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/mathlib-000520-0000-3419727e39e12d67.parquet",
-      "sha256": "3419727e39e12d677a526e838415e9f1a8123525b0cf482a312e851f4265cb64",
-      "bytes": 57850,
-      "rows": 3,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000520-0000-d2a72b63b38497aa.parquet",
-      "sha256": "d2a72b63b38497aae968e81387c15581d4e43678f089d0eb1c93eef053d493f0",
-      "bytes": 148273,
-      "rows": 10,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.coe_ofBijective",
     "mathlib:ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot",
@@ -1892,5 +1869,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Banach.lean\",null,null,\"LinearMap.continuous_of_isClosed_graph\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/BanachSteinhaus.lean\",null,null,\"banach_steinhaus\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/BanachSteinhaus.lean\",null,null,\"banach_steinhaus_iSup_nnnorm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222543,
+      "path": "data/train/pd6/mathlib-000520-0000-34022306a9acf59f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "34022306a9acf59fad11a8d3facbf3176fc7ef7cf38ca61fbec686d1d505fcab"
+    },
+    {
+      "bytes": 57850,
+      "path": "data/dev/pd6/mathlib-000520-0000-3419727e39e12d67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3419727e39e12d677a526e838415e9f1a8123525b0cf482a312e851f4265cb64"
+    },
+    {
+      "bytes": 148273,
+      "path": "data/internal_test/pd6/mathlib-000520-0000-d2a72b63b38497aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d2a72b63b38497aae968e81387c15581d4e43678f089d0eb1c93eef053d493f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000521.json b/manifests/batches/mathlib/000521.json
index 2aa4e2a57a082a8e5f82042dc025d63323637d1b..2ceb82ff4ad4b4e5ba1b6c5dd2b8c6a13e54a53c 100644
--- a/manifests/batches/mathlib/000521.json
+++ b/manifests/batches/mathlib/000521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000521",
   "batch_fingerprint": "6b0a3151e9456e4e1e46ace4f93c8002463607d308dcbaa5ef2ad076e796a28c",
   "evidence": {
@@ -1697,29 +1696,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000521-0000-fe580c2e79cd3390.parquet",
-      "sha256": "fe580c2e79cd3390a5153e0c7c133e7ca53cffda219b6ea266b9763d8decc629",
-      "bytes": 112265,
-      "rows": 17,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/mathlib-000521-0000-29b053dd6d83ae80.parquet",
-      "sha256": "29b053dd6d83ae80ea49ec5c7678f1467359201c400c0711caf18b213304799b",
-      "bytes": 57415,
-      "rows": 6,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000521-0000-9a9d6966358c7557.parquet",
-      "sha256": "9a9d6966358c75574703b6e8b32bfc55717cad4ade189fe05a8d0c9fea01a2eb",
-      "bytes": 67709,
-      "rows": 8,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.nhds",
     "mathlib:ContinuousLinearMap.isBoundedBilinearMap",
@@ -1765,5 +1742,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean\",null,null,\"IsBoundedLinearMap.sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean\",null,null,\"IsBoundedLinearMap.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean\",null,null,\"isBoundedBilinearMap_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112265,
+      "path": "data/train/p4c/mathlib-000521-0000-fe580c2e79cd3390.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fe580c2e79cd3390a5153e0c7c133e7ca53cffda219b6ea266b9763d8decc629"
+    },
+    {
+      "bytes": 57415,
+      "path": "data/dev/p4c/mathlib-000521-0000-29b053dd6d83ae80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "29b053dd6d83ae80ea49ec5c7678f1467359201c400c0711caf18b213304799b"
+    },
+    {
+      "bytes": 67709,
+      "path": "data/internal_test/p4c/mathlib-000521-0000-9a9d6966358c7557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9a9d6966358c75574703b6e8b32bfc55717cad4ade189fe05a8d0c9fea01a2eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000522.json b/manifests/batches/mathlib/000522.json
index 962e0859fa78683ec52dd7bd0b6d9403697dd79f..693f0478396186447e19c5da42b3228dd305047e 100644
--- a/manifests/batches/mathlib/000522.json
+++ b/manifests/batches/mathlib/000522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000522",
   "batch_fingerprint": "db4ce401d3069fdcf940406405a203252298b5e23d00955007f1b0224b413ccd",
   "evidence": {
@@ -1115,22 +1114,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000522-0000-9a95c048eaa05718.parquet",
-      "sha256": "9a95c048eaa057181c1fb5c8ae8421a670070b0c84afdff2c53a702ff8efc250",
-      "bytes": 128990,
-      "rows": 16,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000522-0000-7f06fa44737e65f8.parquet",
-      "sha256": "7f06fa44737e65f8e0c942fd81637da85415b9a8a30a3742a6c27c74e3892798",
-      "bytes": 65949,
-      "rows": 6,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range",
     "mathlib:IsCompactOperator.comp_clm",
@@ -1152,5 +1136,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/CompactOperator.lean\",null,null,\"isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Complemented.lean\",null,null,\"ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Complemented.lean\",null,null,\"Submodule.ClosedComplemented.of_quotient_finiteDimensional\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128990,
+      "path": "data/train/p87/mathlib-000522-0000-9a95c048eaa05718.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9a95c048eaa057181c1fb5c8ae8421a670070b0c84afdff2c53a702ff8efc250"
+    },
+    {
+      "bytes": 65949,
+      "path": "data/internal_test/p87/mathlib-000522-0000-7f06fa44737e65f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7f06fa44737e65f8e0c942fd81637da85415b9a8a30a3742a6c27c74e3892798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000523.json b/manifests/batches/mathlib/000523.json
index ee90131236baaceb0a832207fd73ea216fec6b2a..e577bd518a9776c09f73f2be756a9c05fe855069 100644
--- a/manifests/batches/mathlib/000523.json
+++ b/manifests/batches/mathlib/000523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000523",
   "batch_fingerprint": "78a08316a97b8de953f87dfc7c5c0b723744ed26602a557f3e705a33f8d2f8d6",
   "evidence": {
@@ -128,15 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000523-0000-bb1353d31274f59f.parquet",
-      "sha256": "bb1353d31274f59fb4b7ca086860732f243fc6999687c0dc12d92d425e2abd1d",
-      "bytes": 106064,
-      "rows": 14,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsConformalMap.comp",
     "mathlib:IsConformalMap.injective",
@@ -152,5 +143,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ConformalLinearMap.lean\",null,null,\"IsConformalMap.smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ConformalLinearMap.lean\",null,null,\"isConformalMap_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ConformalLinearMap.lean\",null,null,\"isConformalMap_of_subsingleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106064,
+      "path": "data/train/p0e/mathlib-000523-0000-bb1353d31274f59f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bb1353d31274f59fb4b7ca086860732f243fc6999687c0dc12d92d425e2abd1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000524.json b/manifests/batches/mathlib/000524.json
index a03abf83348df95adeed56b05c5a581b31c92ba7..2967dbf793399b59b9670a748543ff626eb7531e 100644
--- a/manifests/batches/mathlib/000524.json
+++ b/manifests/batches/mathlib/000524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000524",
   "batch_fingerprint": "5e55eb7b8d80f887824e54c61e177902ca8f654eeb53a7a86bffd5b9f22b3942",
   "evidence": {
@@ -1558,15 +1557,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000524-0000-fcf1a3aff55b7362.parquet",
-      "sha256": "fcf1a3aff55b73628613e1899c40e938fe218d8dbfb9c0bba34ba32e8395e3ae",
-      "bytes": 79284,
-      "rows": 9,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAffineMap.coe_contLinear_eq_linear",
     "mathlib:ContinuousAffineMap.decomp",
@@ -1578,5 +1569,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ContinuousAffineMap.lean\",null,null,\"ContinuousAffineMap.coe_contLinear_eq_linear\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ContinuousAffineMap.lean\",null,null,\"ContinuousAffineMap.decomp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ContinuousAffineMap.lean\",null,null,\"ContinuousAffineMap.to_affine_map_contLinear\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79284,
+      "path": "data/train/p54/mathlib-000524-0000-fcf1a3aff55b7362.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fcf1a3aff55b73628613e1899c40e938fe218d8dbfb9c0bba34ba32e8395e3ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000525.json b/manifests/batches/mathlib/000525.json
index f6e57260ed3e8c1869664d654077b10a6cff017e..50cd0149748d458eda84e08769fdb4643588edc5 100644
--- a/manifests/batches/mathlib/000525.json
+++ b/manifests/batches/mathlib/000525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000525",
   "batch_fingerprint": "2cbe4fd3b01f8dffcb1b30d302c488c68d0870a0f1052ad17e72b7592b8a8445",
   "evidence": {
@@ -745,15 +744,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000525-0000-1216411c970731be.parquet",
-      "sha256": "1216411c970731bec85dc8afd3db157f9fc65fad2e5582dccfee9d70d01aa50f",
-      "bytes": 138266,
-      "rows": 22,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NormedSpace.double_dual_bound",
     "mathlib:NormedSpace.dualPairing_separatingLeft",
@@ -777,5 +768,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Dual.lean\",null,null,\"NormedSpace.isClosed_polar\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Dual.lean\",null,null,\"NormedSpace.polar_closedBall\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Dual.lean\",null,null,\"NormedSpace.polar_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138266,
+      "path": "data/train/pf2/mathlib-000525-0000-1216411c970731be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "1216411c970731bec85dc8afd3db157f9fc65fad2e5582dccfee9d70d01aa50f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000526.json b/manifests/batches/mathlib/000526.json
index 841488032fc429ad6d8f41813aff8067cb3e83f9..1633c626c0812c8f86b5a6ce64edfcfa60fa7775 100644
--- a/manifests/batches/mathlib/000526.json
+++ b/manifests/batches/mathlib/000526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000526",
   "batch_fingerprint": "ee6c25a895bb22076b3df98302636e6bfc35a58fac17d2cac74cc1412660049b",
   "evidence": {
@@ -448,22 +447,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000526-0000-babe6d21a41f1031.parquet",
-      "sha256": "babe6d21a41f10316f00a4e9a2af944d735aafb9da76b48e968ecc54a8f15d06",
-      "bytes": 54308,
-      "rows": 6,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000526-0000-068445a45b78eb13.parquet",
-      "sha256": "068445a45b78eb13040b2281ed91ba7b07176f8125e6cf31745412d2fc39f567",
-      "bytes": 44596,
-      "rows": 1,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DualNumber.exp_smul_eps",
     "mathlib:ENorm.coeFn_injective",
@@ -475,5 +459,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ENorm.lean\",null,null,\"ENorm.coeFn_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ENorm.lean\",null,null,\"ENorm.map_sub_rev\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/ENorm.lean\",null,null,\"ENorm.map_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54308,
+      "path": "data/train/pc0/mathlib-000526-0000-babe6d21a41f1031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "babe6d21a41f10316f00a4e9a2af944d735aafb9da76b48e968ecc54a8f15d06"
+    },
+    {
+      "bytes": 44596,
+      "path": "data/internal_test/pc0/mathlib-000526-0000-068445a45b78eb13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "068445a45b78eb13040b2281ed91ba7b07176f8125e6cf31745412d2fc39f567"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000527.json b/manifests/batches/mathlib/000527.json
index 4ea84151b93ded0adf5ff4cfacb9c31f92cf07c7..608c8f50f5f9b7bc9a6c0af94ef3b55f3254f7ce 100644
--- a/manifests/batches/mathlib/000527.json
+++ b/manifests/batches/mathlib/000527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000527",
   "batch_fingerprint": "f7c83dde5744b87d217deecb4fb1d15f86829319394c7ecba949fd482f49e0c7",
   "evidence": {
@@ -1758,29 +1757,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000527-0000-76d1bbac73d2e8b9.parquet",
-      "sha256": "76d1bbac73d2e8b9fe25d86353f7b520d2efa8558c58fe6bf8e602febc16d568",
-      "bytes": 236666,
-      "rows": 44,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/mathlib-000527-0000-15a66303ac41cc7d.parquet",
-      "sha256": "15a66303ac41cc7dd2ecff4ed34a7adcd982463f8903e01cd335743955be462a",
-      "bytes": 76871,
-      "rows": 8,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000527-0000-07a4cf7714afaa08.parquet",
-      "sha256": "07a4cf7714afaa081a49f26047c9f269c929d0e6b07351210d193455a8347291",
-      "bytes": 42528,
-      "rows": 2,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.update_exp",
     "mathlib:LinearMap.extendTo\ud835\udd5c'_apply_re",
@@ -1828,5 +1805,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Exponential.lean\",null,null,\"NormedSpace.norm_expSeries_summable_of_mem_ball'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Exponential.lean\",null,null,\"NormedSpace.star_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Extend.lean\",null,null,\"LinearMap.extendTo\ud835\udd5c'_apply_re\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236666,
+      "path": "data/train/p8d/mathlib-000527-0000-76d1bbac73d2e8b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "76d1bbac73d2e8b9fe25d86353f7b520d2efa8558c58fe6bf8e602febc16d568"
+    },
+    {
+      "bytes": 76871,
+      "path": "data/dev/p8d/mathlib-000527-0000-15a66303ac41cc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "15a66303ac41cc7dd2ecff4ed34a7adcd982463f8903e01cd335743955be462a"
+    },
+    {
+      "bytes": 42528,
+      "path": "data/internal_test/p8d/mathlib-000527-0000-07a4cf7714afaa08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "07a4cf7714afaa081a49f26047c9f269c929d0e6b07351210d193455a8347291"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000528.json b/manifests/batches/mathlib/000528.json
index 1a8f8506cf6fa9c63a29afa81491c76b848a0b70..0f21d0a47c14ac61f5b1bbdcc0ed809c84d5f414 100644
--- a/manifests/batches/mathlib/000528.json
+++ b/manifests/batches/mathlib/000528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000528",
   "batch_fingerprint": "4945a3093acf6f6034f8cb22f4cba0298ee20b2cd1fb4fd290ce46464a99e3ee",
   "evidence": {
@@ -2207,22 +2206,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000528-0000-7cf6acd4bf199972.parquet",
-      "sha256": "7cf6acd4bf1999725d4d744933a21ecfb6c8937a68e7b4c12be0e24c903cfeca",
-      "bytes": 247192,
-      "rows": 29,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000528-0000-d632ccd0406cfd02.parquet",
-      "sha256": "d632ccd0406cfd02fd197261241a700973852e49d664a02aa8b81c1a928a50d5",
-      "bytes": 80404,
-      "rows": 7,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.exists_opNNNorm_le",
     "mathlib:Basis.exists_opNorm_le",
@@ -2248,5 +2232,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FiniteDimension.lean\",null,null,\"continuous_clm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FiniteDimension.lean\",null,null,\"isOpen_setOf_nat_le_rank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FiniteDimension.lean\",null,null,\"lipschitzExtensionConstant_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247192,
+      "path": "data/train/pe4/mathlib-000528-0000-7cf6acd4bf199972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7cf6acd4bf1999725d4d744933a21ecfb6c8937a68e7b4c12be0e24c903cfeca"
+    },
+    {
+      "bytes": 80404,
+      "path": "data/internal_test/pe4/mathlib-000528-0000-d632ccd0406cfd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d632ccd0406cfd02fd197261241a700973852e49d664a02aa8b81c1a928a50d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000529.json b/manifests/batches/mathlib/000529.json
index 6003aa47703b8f7aa07ade3dde46a2c857dc9179..a2881a603d6637e10cb7b7d6e9ab4c117010867f 100644
--- a/manifests/batches/mathlib/000529.json
+++ b/manifests/batches/mathlib/000529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000529",
   "batch_fingerprint": "70ffd2b84d5c1f3ace4e3bf9897394f9398808fc0cb5d6716e18e3d2a6e88d70",
   "evidence": {
@@ -578,67 +577,68 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:ContinuousLinearMap.exist_extension_of_finiteDimensional_range",
+    "mathlib:continuous_tsum",
+    "mathlib:tendstoUniformlyOn_tsum",
+    "mathlib:tendstoUniformly_tsum"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"continuous_tsum\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"tendstoUniformlyOn_tsum\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"tendstoUniformly_tsum\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HahnBanach/Extension.lean\",null,null,\"ContinuousLinearMap.exist_extension_of_finiteDimensional_range\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000529-0000-acddce17bcb302ed.parquet",
-      "sha256": "acddce17bcb302edbb4d6bcedfcdfa4d99eb9bc3992fc8653556cd708a1d70fc",
       "bytes": 135858,
+      "path": "data/train/p3b/mathlib-000529-0000-acddce17bcb302ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "acddce17bcb302edbb4d6bcedfcdfa4d99eb9bc3992fc8653556cd708a1d70fc"
     },
     {
-      "path": "data/train/mathlib-000529-0001-6f4868dbb249fd35.parquet",
-      "sha256": "6f4868dbb249fd35bb13aee96ec463e7b9a557e00b264bff03f78fdfc3b16cfd",
       "bytes": 165749,
+      "path": "data/train/p3b/mathlib-000529-0001-6f4868dbb249fd35.parquet",
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       "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "6f4868dbb249fd35bb13aee96ec463e7b9a557e00b264bff03f78fdfc3b16cfd"
     },
     {
-      "path": "data/train/mathlib-000529-0002-03cc830974b6f9ff.parquet",
-      "sha256": "03cc830974b6f9ff998a55fcd49a10d007a964597f6d71b0741e352b9d8c3c1a",
       "bytes": 223664,
+      "path": "data/train/p3b/mathlib-000529-0002-03cc830974b6f9ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "03cc830974b6f9ff998a55fcd49a10d007a964597f6d71b0741e352b9d8c3c1a"
     },
     {
-      "path": "data/train/mathlib-000529-0003-a7b7f321ff1dc393.parquet",
-      "sha256": "a7b7f321ff1dc3937a681387aa75693127bc66786dfa88bbe8e0343b11e3fb9d",
       "bytes": 257370,
+      "path": "data/train/p3b/mathlib-000529-0003-a7b7f321ff1dc393.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "a7b7f321ff1dc3937a681387aa75693127bc66786dfa88bbe8e0343b11e3fb9d"
     },
     {
-      "path": "data/train/mathlib-000529-0004-ef48f7d09d73ffce.parquet",
-      "sha256": "ef48f7d09d73ffce7a697130e666311b3e9cc4242f7ab92432bac37d2fcc4649",
       "bytes": 283829,
+      "path": "data/train/p3b/mathlib-000529-0004-ef48f7d09d73ffce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "ef48f7d09d73ffce7a697130e666311b3e9cc4242f7ab92432bac37d2fcc4649"
     },
     {
-      "path": "data/train/mathlib-000529-0005-b891f5d60eba1b36.parquet",
-      "sha256": "b891f5d60eba1b369bf2c5350f602a58f6a38df891e4afaa297ad5c6202cd23f",
       "bytes": 162394,
+      "path": "data/train/p3b/mathlib-000529-0005-b891f5d60eba1b36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "b891f5d60eba1b369bf2c5350f602a58f6a38df891e4afaa297ad5c6202cd23f"
     },
     {
-      "path": "data/dev/mathlib-000529-0000-4697aae620e80238.parquet",
-      "sha256": "4697aae620e80238bc96cf68f25129e26703d311060b0edfc8606c91474bef0d",
       "bytes": 56986,
+      "path": "data/dev/p3b/mathlib-000529-0000-4697aae620e80238.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "4697aae620e80238bc96cf68f25129e26703d311060b0edfc8606c91474bef0d"
     }
-  ],
-  "proof_ids": [
-    "mathlib:ContinuousLinearMap.exist_extension_of_finiteDimensional_range",
-    "mathlib:continuous_tsum",
-    "mathlib:tendstoUniformlyOn_tsum",
-    "mathlib:tendstoUniformly_tsum"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"continuous_tsum\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"tendstoUniformlyOn_tsum\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/FunctionSeries.lean\",null,null,\"tendstoUniformly_tsum\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HahnBanach/Extension.lean\",null,null,\"ContinuousLinearMap.exist_extension_of_finiteDimensional_range\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000530.json b/manifests/batches/mathlib/000530.json
index c017449228994dfc921144f7ae8e3a94bbd6583d..54c77103a27a82bf3ee649c4f0b75bbfa242f862 100644
--- a/manifests/batches/mathlib/000530.json
+++ b/manifests/batches/mathlib/000530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000530",
   "batch_fingerprint": "91aaa20e0009e1a75392e1446999882135d8bcafe6e459b48436d6e3a2bb31a1",
   "evidence": {
@@ -1849,15 +1848,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000530-0000-073ec4636d0122ad.parquet",
-      "sha256": "073ec4636d0122ad1e6cfb786b881891adbf915753b6faa90393fe3c8f971692",
-      "bytes": 169779,
-      "rows": 17,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SeparatingDual.exists_eq_one",
     "mathlib:SeparatingDual.t2Space",
@@ -1871,5 +1862,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HahnBanach/SeparatingDual.lean\",null,null,\"separatingDual_iff_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HahnBanach/Separation.lean\",null,null,\"geometric_hahn_banach_point_open\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HahnBanach/Separation.lean\",null,null,\"iInter_halfspaces_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169779,
+      "path": "data/train/paa/mathlib-000530-0000-073ec4636d0122ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "073ec4636d0122ad1e6cfb786b881891adbf915753b6faa90393fe3c8f971692"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000531.json b/manifests/batches/mathlib/000531.json
index 8c448da32aac191419d65b386ebeecef5b98ef1d..93c8f87a0e87be18fe02abdce6181235cc2cf386 100644
--- a/manifests/batches/mathlib/000531.json
+++ b/manifests/batches/mathlib/000531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000531",
   "batch_fingerprint": "5653b05b2366cf12e20d9c641848ec6948b1def3356fc2f297386ed0edb47c10",
   "evidence": {
@@ -242,15 +241,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000531-0000-b27afb8f232245c6.parquet",
-      "sha256": "b27afb8f232245c6c7a45f56a41a89dca977327dbe1bb6f3016667280d43d4b0",
-      "bytes": 56363,
-      "rows": 13,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PartialHomeomorph.continuous_univBall",
     "mathlib:PartialHomeomorph.univBall_apply_zero",
@@ -270,5 +261,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/HomeomorphBall.lean\",null,null,\"PartialHomeomorph.univUnitBall_symm_apply_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/IndicatorFunction.lean\",null,null,\"norm_indicator_le_norm_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/IndicatorFunction.lean\",null,null,\"norm_indicator_le_of_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56363,
+      "path": "data/train/p80/mathlib-000531-0000-b27afb8f232245c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b27afb8f232245c6c7a45f56a41a89dca977327dbe1bb6f3016667280d43d4b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000532.json b/manifests/batches/mathlib/000532.json
index dabed4d12247a4135626b7b1d8bb2377a671b6b7..25fdd6fa8d1eef487bd7d425e9c826192f2353f1 100644
--- a/manifests/batches/mathlib/000532.json
+++ b/manifests/batches/mathlib/000532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000532",
   "batch_fingerprint": "93a14a8dbbb1c7e05d4b25d966f83faaad46ea191d66d8e77d64fef6c8c633a9",
   "evidence": {
@@ -3406,15 +3405,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000532-0000-bca761445e3a0463.parquet",
-      "sha256": "bca761445e3a04634c30cbec2dcb5cd9fc081b9f8c7b5bbbcbf28a68b5ec3408",
-      "bytes": 72689,
-      "rows": 8,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.norm_coe_units",
     "mathlib:Int.toNat_add_toNat_neg_eq_norm",
@@ -3428,5 +3419,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/LinearIsometry.lean\",null,null,\"LinearIsometry.coe_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/LinearIsometry.lean\",null,null,\"LinearIsometryEquiv.coe_ofSurjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/LinearIsometry.lean\",null,null,\"LinearIsometryEquiv.range_eq_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72689,
+      "path": "data/train/pa5/mathlib-000532-0000-bca761445e3a0463.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bca761445e3a04634c30cbec2dcb5cd9fc081b9f8c7b5bbbcbf28a68b5ec3408"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000533.json b/manifests/batches/mathlib/000533.json
index 37dfb3eb9c9658ef7128116dda6b215a8a67b318..11b4012cd81c5ff0ef9024f20e3d2da7cc9f63d7 100644
--- a/manifests/batches/mathlib/000533.json
+++ b/manifests/batches/mathlib/000533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000533",
   "batch_fingerprint": "2d2218c802d66660e4d70fb8001f9b91b46cc3e0bc30a0bb81ab4dc2418acf61",
   "evidence": {
@@ -1036,22 +1035,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000533-0000-e05524a2b787d3a8.parquet",
-      "sha256": "e05524a2b787d3a8055e147596cb165c6fa9732ab7a51d63b4c7683d4f5a7f6c",
-      "bytes": 64313,
-      "rows": 6,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000533-0000-10dc9dd15028d717.parquet",
-      "sha256": "10dc9dd15028d7177fa9a076c93fee008a0cf5c2fafc8fbae768d0c7f23339eb",
-      "bytes": 42239,
-      "rows": 1,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLprojection.Lcomplement",
     "mathlib:IsLprojection.compl_mul",
@@ -1065,5 +1049,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MStructure.lean\",null,null,\"IsLprojection.distrib_lattice_lemma\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MStructure.lean\",null,null,\"IsLprojection.join\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MStructure.lean\",null,null,\"IsLprojection.mul_compl_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64313,
+      "path": "data/train/p82/mathlib-000533-0000-e05524a2b787d3a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e05524a2b787d3a8055e147596cb165c6fa9732ab7a51d63b4c7683d4f5a7f6c"
+    },
+    {
+      "bytes": 42239,
+      "path": "data/internal_test/p82/mathlib-000533-0000-10dc9dd15028d717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "10dc9dd15028d7177fa9a076c93fee008a0cf5c2fafc8fbae768d0c7f23339eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000534.json b/manifests/batches/mathlib/000534.json
index 8a8bd0d8cf244d401f3076feaf5ab8f1b126bf20..d0fa191433764eee11208376285969d53f2fbf5e 100644
--- a/manifests/batches/mathlib/000534.json
+++ b/manifests/batches/mathlib/000534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000534",
   "batch_fingerprint": "9e03e4c941447f97a9a496b71ce2123e9d2e1080194b4a84d5b852b47d08c91b",
   "evidence": {
@@ -650,29 +649,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000534-0000-beee45be3b6cbc7d.parquet",
-      "sha256": "beee45be3b6cbc7d771aa99b40ec531b9f46c56ea91a419f15ed735efdcb0d52",
-      "bytes": 103534,
-      "rows": 16,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/dev/mathlib-000534-0000-038482363a695266.parquet",
-      "sha256": "038482363a6952663820c1b3361d4e4febc919982f7e7259a573285fb65f5190",
-      "bytes": 71462,
-      "rows": 8,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000534-0000-68c6d94e42812ef1.parquet",
-      "sha256": "68c6d94e42812ef12a34523937b36d4159c2d74099e6fc87ea57fe90f97842ad",
-      "bytes": 67372,
-      "rows": 4,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsometryEquiv.coe_toRealAffineIsometryEquiv",
     "mathlib:Matrix.exp_add_of_commute",
@@ -700,5 +677,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MatrixExponential.lean\",null,null,\"Matrix.exp_units_conj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MatrixExponential.lean\",null,null,\"Matrix.isUnit_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/MazurUlam.lean\",null,null,\"IsometryEquiv.coe_toRealAffineIsometryEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103534,
+      "path": "data/train/pac/mathlib-000534-0000-beee45be3b6cbc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "beee45be3b6cbc7d771aa99b40ec531b9f46c56ea91a419f15ed735efdcb0d52"
+    },
+    {
+      "bytes": 71462,
+      "path": "data/dev/pac/mathlib-000534-0000-038482363a695266.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "038482363a6952663820c1b3361d4e4febc919982f7e7259a573285fb65f5190"
+    },
+    {
+      "bytes": 67372,
+      "path": "data/internal_test/pac/mathlib-000534-0000-68c6d94e42812ef1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "68c6d94e42812ef12a34523937b36d4159c2d74099e6fc87ea57fe90f97842ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000535.json b/manifests/batches/mathlib/000535.json
index 09321e854ef8ca4b1b68f192c52297e672fb6ba0..c35314fcd44993d257d0c7008adcc296a25a5415 100644
--- a/manifests/batches/mathlib/000535.json
+++ b/manifests/batches/mathlib/000535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000535",
   "batch_fingerprint": "998da8fda12762c179b4bce454eb13dc98fc90dd404390353e1eb5e9c0a56adf",
   "evidence": {
@@ -4933,7 +4932,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000536.json b/manifests/batches/mathlib/000536.json
index ab1c3793f4ae65c066c28b59679eda762b195d97..dba3b464092eda5e35acdb97b8b17cfc9aa40fd9 100644
--- a/manifests/batches/mathlib/000536.json
+++ b/manifests/batches/mathlib/000536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000536",
   "batch_fingerprint": "a4c5bdfb2fb17b7448e720e1d0ac4b6e69263ce6172b2994276ad10abe1407eb",
   "evidence": {
@@ -1210,29 +1209,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000536-0000-a7f3af37224e2b7f.parquet",
-      "sha256": "a7f3af37224e2b7f218b2598588df8a60152d678e7883e1158f93abcd20ff9be",
-      "bytes": 114368,
-      "rows": 22,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/dev/mathlib-000536-0000-aee2bd13746942c0.parquet",
-      "sha256": "aee2bd13746942c0d38c2492aa308079502b77ccdeda61ac16ce024e19a9bc60",
-      "bytes": 44898,
-      "rows": 2,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000536-0000-4e2b984ccf553a1a.parquet",
-      "sha256": "4e2b984ccf553a1a8201ce353d4a737b89d224088c0c1cdaed6f2fc5834c7c77",
-      "bytes": 68726,
-      "rows": 4,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.dist_le_opNorm",
     "mathlib:ContinuousLinearMap.isLeast_opNorm",
@@ -1266,5 +1243,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Basic.lean\",null,null,\"ContinuousLinearMap.opNorm_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Basic.lean\",null,null,\"LinearIsometry.norm_toContinuousLinearMap_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Basic.lean\",null,null,\"norm_image_of_norm_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114368,
+      "path": "data/train/pe2/mathlib-000536-0000-a7f3af37224e2b7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "a7f3af37224e2b7f218b2598588df8a60152d678e7883e1158f93abcd20ff9be"
+    },
+    {
+      "bytes": 44898,
+      "path": "data/dev/pe2/mathlib-000536-0000-aee2bd13746942c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aee2bd13746942c0d38c2492aa308079502b77ccdeda61ac16ce024e19a9bc60"
+    },
+    {
+      "bytes": 68726,
+      "path": "data/internal_test/pe2/mathlib-000536-0000-4e2b984ccf553a1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4e2b984ccf553a1a8201ce353d4a737b89d224088c0c1cdaed6f2fc5834c7c77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000537.json b/manifests/batches/mathlib/000537.json
index d5fd91022978aca71396d4708dbe4c643e50fa07..154a89d3e9bffb441d306ad142dd38b0afbe3062 100644
--- a/manifests/batches/mathlib/000537.json
+++ b/manifests/batches/mathlib/000537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000537",
   "batch_fingerprint": "dde231204e7e01588e1dbbf60fc3890cc8f6eca4c61a0f9c2aa7d798ee53f307",
   "evidence": {
@@ -885,15 +884,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000537-0000-855ec8d44832d9d3.parquet",
-      "sha256": "855ec8d44832d9d3f836e7e49ffbcf01a9822986021002a8205ec18b68ff74fe",
-      "bytes": 270004,
-      "rows": 22,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.flip_flip",
     "mathlib:ContinuousLinearMap.is_weak_closed_closedBall",
@@ -915,5 +906,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Bilinear.lean\",null,null,\"LinearMap.norm_mkContinuous\u2082_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Completeness.lean\",null,null,\"ContinuousLinearMap.is_weak_closed_closedBall\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Completeness.lean\",null,null,\"ContinuousLinearMap.tendsto_of_tendsto_pointwise_of_cauchySeq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270004,
+      "path": "data/train/p41/mathlib-000537-0000-855ec8d44832d9d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "855ec8d44832d9d3f836e7e49ffbcf01a9822986021002a8205ec18b68ff74fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000538.json b/manifests/batches/mathlib/000538.json
index 14fb595a196a98d4044f9650a8b64e036ef8e506..b2ae896de343fe902ba07568eb319fa1b2398967 100644
--- a/manifests/batches/mathlib/000538.json
+++ b/manifests/batches/mathlib/000538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000538",
   "batch_fingerprint": "22328879c0488bbf7dcc833346bb2c918caffc736445e821e1fc30c8fc14d48c",
   "evidence": {
@@ -1062,22 +1061,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000538-0000-eafd27d319d36d18.parquet",
-      "sha256": "eafd27d319d36d187b70445775d6e81c4a72f2dbaead52443bd55209fda3b743",
-      "bytes": 115762,
-      "rows": 13,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000538-0000-6d4f0f5bffa12ec2.parquet",
-      "sha256": "6d4f0f5bffa12ec286230a3abca09a07074770810bce201f77e1018f52e529dc",
-      "bytes": 43498,
-      "rows": 1,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.exists_mul_lt_apply_of_lt_opNNNorm",
     "mathlib:ContinuousLinearMap.exists_mul_lt_of_lt_opNorm",
@@ -1099,5 +1083,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/NNNorm.lean\",null,null,\"ContinuousLinearMap.opNNNorm_le_of_unit_nnnorm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/NNNorm.lean\",null,null,\"ContinuousLinearMap.sSup_closed_unit_ball_eq_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/NNNorm.lean\",null,null,\"ContinuousLinearMap.sSup_unit_ball_eq_norm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115762,
+      "path": "data/train/p6c/mathlib-000538-0000-eafd27d319d36d18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "eafd27d319d36d187b70445775d6e81c4a72f2dbaead52443bd55209fda3b743"
+    },
+    {
+      "bytes": 43498,
+      "path": "data/internal_test/p6c/mathlib-000538-0000-6d4f0f5bffa12ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6d4f0f5bffa12ec286230a3abca09a07074770810bce201f77e1018f52e529dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000539.json b/manifests/batches/mathlib/000539.json
index 919152ba58c04ff51633ab0d0cd99a727d63a985..e36f64477a8fc73798ee8c1313cc44130b07df82 100644
--- a/manifests/batches/mathlib/000539.json
+++ b/manifests/batches/mathlib/000539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000539",
   "batch_fingerprint": "6e19ef942c305866ba2a18309c605e89be97b139a128c4fde5a84cedf11a5fc4",
   "evidence": {
@@ -1493,22 +1492,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000539-0000-132c9c71a81d5c2d.parquet",
-      "sha256": "132c9c71a81d5c2db047fad24a23fca7582744daeca87223b5dc6d1e51384c30",
-      "bytes": 117259,
-      "rows": 18,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000539-0000-b8887d7c4f7eb365.parquet",
-      "sha256": "b8887d7c4f7eb365560444d0b8272620b6b7e21e59e5c64fab036888c7cdfab3",
-      "bytes": 65671,
-      "rows": 6,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.coord_norm",
     "mathlib:ContinuousLinearEquiv.one_le_norm_mul_norm_symm",
@@ -1532,5 +1516,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Prod.lean\",null,null,\"ContinuousLinearMap.norm_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Prod.lean\",null,null,\"ContinuousLinearMap.norm_snd_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/OperatorNorm/Prod.lean\",null,null,\"ContinuousLinearMap.opNorm_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117259,
+      "path": "data/train/p1b/mathlib-000539-0000-132c9c71a81d5c2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "132c9c71a81d5c2db047fad24a23fca7582744daeca87223b5dc6d1e51384c30"
+    },
+    {
+      "bytes": 65671,
+      "path": "data/internal_test/p1b/mathlib-000539-0000-b8887d7c4f7eb365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b8887d7c4f7eb365560444d0b8272620b6b7e21e59e5c64fab036888c7cdfab3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000540.json b/manifests/batches/mathlib/000540.json
index d49f8b86f78bda22e54dae533b20b188289eadd1..1f4fa186aeb9ab28f88930a1a7e02b311c12af39 100644
--- a/manifests/batches/mathlib/000540.json
+++ b/manifests/batches/mathlib/000540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000540",
   "batch_fingerprint": "e7ff05541aafd209e61ed9cb22c02e057414dd9fde782311a436ef9d117bb39a",
   "evidence": {
@@ -2968,15 +2967,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000540-0000-b1f6a6c1a4fb31d8.parquet",
-      "sha256": "b1f6a6c1a4fb31d83acdc337cfec38714345afb726f61031f50af6faf483d1da",
-      "bytes": 139459,
-      "rows": 32,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearIsometryEquiv.piLpCongrLeft_single",
     "mathlib:PiLp.basisFun_apply",
@@ -3014,5 +3005,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/PiLp.lean\",null,null,\"PiLp.nnnorm_equiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/PiLp.lean\",null,null,\"PiLp.norm_eq_of_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/PiLp.lean\",null,null,\"PiLp.norm_equiv_symm_const'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139459,
+      "path": "data/train/pd5/mathlib-000540-0000-b1f6a6c1a4fb31d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "b1f6a6c1a4fb31d83acdc337cfec38714345afb726f61031f50af6faf483d1da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000541.json b/manifests/batches/mathlib/000541.json
index d6e834b03a5eed894373325ac03a0c9ec3e4b682..b491b31bb93a5de146ce8dee9c0dd29ef98ff1a7 100644
--- a/manifests/batches/mathlib/000541.json
+++ b/manifests/batches/mathlib/000541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000541",
   "batch_fingerprint": "3c474557e8f4103487989ba1e556f2beb6991bdba5b10aaa793a0af412431d26",
   "evidence": {
@@ -1295,29 +1294,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000541-0000-8089fe59ff8858df.parquet",
-      "sha256": "8089fe59ff8858dfb5d2cd1595d249512d3cdcf83309879f88785c1d8072e225",
-      "bytes": 546600,
-      "rows": 77,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/dev/mathlib-000541-0000-ee07428fd8ddce94.parquet",
-      "sha256": "ee07428fd8ddce94dc7b9d4dc417f93e455379ae89856263403c8f8571641d27",
-      "bytes": 53984,
-      "rows": 5,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000541-0000-476de493c85cf2ff.parquet",
-      "sha256": "476de493c85cf2ff2ee8d06038feb751619f9849b3a8a6c85b67c6aa1d4aef80",
-      "bytes": 76734,
-      "rows": 12,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PiTensorProduct.bddBelow_projectiveSemiNormAux",
     "mathlib:PiTensorProduct.norm_eval_le_projectiveSeminorm",
@@ -1395,5 +1372,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Pointwise.lean\",null,null,\"thickening_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Pointwise.lean\",null,null,\"thickening_closedBall\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Pointwise.lean\",null,null,\"thickening_thickening\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 546600,
+      "path": "data/train/p54/mathlib-000541-0000-8089fe59ff8858df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "8089fe59ff8858dfb5d2cd1595d249512d3cdcf83309879f88785c1d8072e225"
+    },
+    {
+      "bytes": 53984,
+      "path": "data/dev/p54/mathlib-000541-0000-ee07428fd8ddce94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ee07428fd8ddce94dc7b9d4dc417f93e455379ae89856263403c8f8571641d27"
+    },
+    {
+      "bytes": 76734,
+      "path": "data/internal_test/p54/mathlib-000541-0000-476de493c85cf2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "476de493c85cf2ff2ee8d06038feb751619f9849b3a8a6c85b67c6aa1d4aef80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000542.json b/manifests/batches/mathlib/000542.json
index 1b37bc765dd3caa399a22fa6de741c462986beab..0e3c4377e14433fe64df9e12b6d0892ac417df4b 100644
--- a/manifests/batches/mathlib/000542.json
+++ b/manifests/batches/mathlib/000542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000542",
   "batch_fingerprint": "bf6a4a7409c59b62d5bf27da75b313960533b7af9974d9de1651e6167f18767a",
   "evidence": {
@@ -2019,15 +2018,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000542-0000-d19b6177080d9fb2.parquet",
-      "sha256": "d19b6177080d9fb28bd74286588022a1170bd82a6b4429d45888594d61407224",
-      "bytes": 126218,
-      "rows": 33,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quaternion.exp_eq",
     "mathlib:Quaternion.exp_of_re_eq_zero",
@@ -2075,5 +2066,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/QuaternionExponential.lean\",null,null,\"Quaternion.im_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/QuaternionExponential.lean\",null,null,\"Quaternion.norm_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/QuaternionExponential.lean\",null,null,\"Quaternion.re_exp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126218,
+      "path": "data/train/p24/mathlib-000542-0000-d19b6177080d9fb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d19b6177080d9fb28bd74286588022a1170bd82a6b4429d45888594d61407224"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000543.json b/manifests/batches/mathlib/000543.json
index 26362f99fd2cb695827e8ffd005b53a627244069..312384b1ee38d24f06e7c10e42fae556695e3b91 100644
--- a/manifests/batches/mathlib/000543.json
+++ b/manifests/batches/mathlib/000543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000543",
   "batch_fingerprint": "9be57b5d5d5283bb61b875639ad2b7592ed2b7a1d34155446aa34941f9bd70a7",
   "evidence": {
@@ -708,22 +707,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000543-0000-b2595cdc236a2986.parquet",
-      "sha256": "b2595cdc236a2986afa461ade6d222180afe0cbb7bc134b050f4248a405845a4",
-      "bytes": 56676,
-      "rows": 5,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000543-0000-e448e5d843dd71b9.parquet",
-      "sha256": "e448e5d843dd71b9210a2ad8774e9135c495d57efdf20fc26869c9e446844fd9",
-      "bytes": 56685,
-      "rows": 3,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RCLike.norm_coe_norm",
     "mathlib:SameRay.norm_add",
@@ -737,5 +721,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Ray.lean\",null,null,\"SameRay.norm_smul_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Ray.lean\",null,null,\"norm_injOn_ray_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Ray.lean\",null,null,\"sameRay_iff_inv_norm_smul_eq_of_ne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56676,
+      "path": "data/train/p96/mathlib-000543-0000-b2595cdc236a2986.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b2595cdc236a2986afa461ade6d222180afe0cbb7bc134b050f4248a405845a4"
+    },
+    {
+      "bytes": 56685,
+      "path": "data/internal_test/p96/mathlib-000543-0000-e448e5d843dd71b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e448e5d843dd71b9210a2ad8774e9135c495d57efdf20fc26869c9e446844fd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000544.json b/manifests/batches/mathlib/000544.json
index 9aedee06fd233df9bd23cc0957e17a18ffa4ab00..f92e9a3e0c9a673618bf07753400cb199990ff9e 100644
--- a/manifests/batches/mathlib/000544.json
+++ b/manifests/batches/mathlib/000544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000544",
   "batch_fingerprint": "1bf823a98c6cb527a48c0199e43a16052ee92949d2f2d1b0850a1b8d5b682427",
   "evidence": {
@@ -1038,22 +1037,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000544-0000-cb7357674bc0bd0a.parquet",
-      "sha256": "cb7357674bc0bd0ac2fbcf243bfb789a321be0877ee963abe5457eb3f422e965",
-      "bytes": 58070,
-      "rows": 10,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000544-0000-2ec8032ccfd302cd.parquet",
-      "sha256": "2ec8032ccfd302cd1a7f537121461f2742f6cf3724417cdff9fa8bd37a2e8578",
-      "bytes": 44709,
-      "rows": 3,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:exists_norm_eq",
     "mathlib:frontier_ball",
@@ -1077,5 +1061,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Real.lean\",null,null,\"interior_sphere'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Real.lean\",null,null,\"inv_norm_smul_mem_closed_unit_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Real.lean\",null,null,\"norm_smul_of_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58070,
+      "path": "data/train/p94/mathlib-000544-0000-cb7357674bc0bd0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cb7357674bc0bd0ac2fbcf243bfb789a321be0877ee963abe5457eb3f422e965"
+    },
+    {
+      "bytes": 44709,
+      "path": "data/internal_test/p94/mathlib-000544-0000-2ec8032ccfd302cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2ec8032ccfd302cd1a7f537121461f2742f6cf3724417cdff9fa8bd37a2e8578"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000545.json b/manifests/batches/mathlib/000545.json
index 2a7b8dd9b41762f924ce63aa6b05365bfca3eff8..254104d55ae48c00516d8934c8b0d2fcd4269cbb 100644
--- a/manifests/batches/mathlib/000545.json
+++ b/manifests/batches/mathlib/000545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000545",
   "batch_fingerprint": "c3b3340bd29ca5232e6e39692337174feddb55fcb616b75d433c321dbbb900a8",
   "evidence": {
@@ -2285,29 +2284,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000545-0000-cc72113f20c1623d.parquet",
-      "sha256": "cc72113f20c1623df0531719cd764e4ff6ffd2c4e80aff982f54e72dbd5e86f4",
-      "bytes": 105952,
-      "rows": 22,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/dev/mathlib-000545-0000-d7e7f09970c86498.parquet",
-      "sha256": "d7e7f09970c864983cd4f6e397fe5eef9ba07db998aa58d579814b2d02c10393",
-      "bytes": 48730,
-      "rows": 2,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000545-0000-f032209633e6e4d8.parquet",
-      "sha256": "f032209633e6e4d8de556b915488082174a0ef59a1589ff0a4880bc6c7182d7e",
-      "bytes": 68374,
-      "rows": 4,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.toContinuousLinearMap_norm",
     "mathlib:LinearMap.toSpanSingleton_homothety",
@@ -2347,5 +2324,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Spectrum.lean\",null,null,\"spectrum.spectralRadius_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Spectrum.lean\",null,null,\"spectrum.subset_closedBall_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Spectrum.lean\",null,null,\"spectrum.subset_closedBall_norm_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105952,
+      "path": "data/train/p7b/mathlib-000545-0000-cc72113f20c1623d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "cc72113f20c1623df0531719cd764e4ff6ffd2c4e80aff982f54e72dbd5e86f4"
+    },
+    {
+      "bytes": 48730,
+      "path": "data/dev/p7b/mathlib-000545-0000-d7e7f09970c86498.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d7e7f09970c864983cd4f6e397fe5eef9ba07db998aa58d579814b2d02c10393"
+    },
+    {
+      "bytes": 68374,
+      "path": "data/internal_test/p7b/mathlib-000545-0000-f032209633e6e4d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f032209633e6e4d8de556b915488082174a0ef59a1589ff0a4880bc6c7182d7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000546.json b/manifests/batches/mathlib/000546.json
index 9f831d51b55e394efad21418bb55da40490d12ae..46bb5bec841d63047fddd827bcfe108da1541115 100644
--- a/manifests/batches/mathlib/000546.json
+++ b/manifests/batches/mathlib/000546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000546",
   "batch_fingerprint": "e3f3b5be56d1d0f7326cad7a0239dc97d0f2e8c486497276edfce59d33092b89",
   "evidence": {
@@ -1189,15 +1188,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000546-0000-4e45edaf1e11d2ce.parquet",
-      "sha256": "4e45edaf1e11d2ce877fe8e4ec66bf31cc958a31357d6cd7a921b7db436959f5",
-      "bytes": 68771,
-      "rows": 13,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CstarRing.mul_star_self_eq_zero_iff",
     "mathlib:CstarRing.mul_star_self_ne_zero_iff",
@@ -1219,5 +1210,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Basic.lean\",null,null,\"CstarRing.star_mul_self_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Basic.lean\",null,null,\"CstarRing.star_mul_self_ne_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/ContinuousFunctionalCalculus.lean\",null,null,\"StarSubalgebra.coe_isUnit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68771,
+      "path": "data/train/p0e/mathlib-000546-0000-4e45edaf1e11d2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4e45edaf1e11d2ce877fe8e4ec66bf31cc958a31357d6cd7a921b7db436959f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000547.json b/manifests/batches/mathlib/000547.json
index 129507f88d5fe9781364fea457bd32f63b65e914..b850fc744a112b616720150f6f8eedf2bcff0e57 100644
--- a/manifests/batches/mathlib/000547.json
+++ b/manifests/batches/mathlib/000547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000547",
   "batch_fingerprint": "c2b40a68f5e9f86814ca62e9d4a6f58c769aeec9aa8d0d039774311f46696c4b",
   "evidence": {
@@ -2613,15 +2612,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000547-0000-9d195581a610e6a1.parquet",
-      "sha256": "9d195581a610e6a1e8ce6cb8b6cc57b6e29b2575425a5528d72b7ee3fb99759b",
-      "bytes": 65250,
-      "rows": 4,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:mul_star_le_algebraMap_norm_sq",
     "mathlib:star_mul_le_algebraMap_norm_sq"
@@ -2629,5 +2620,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/ContinuousFunctionalCalculus/Order.lean\",null,null,\"mul_star_le_algebraMap_norm_sq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/ContinuousFunctionalCalculus/Order.lean\",null,null,\"star_mul_le_algebraMap_norm_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65250,
+      "path": "data/train/p78/mathlib-000547-0000-9d195581a610e6a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9d195581a610e6a1e8ce6cb8b6cc57b6e29b2575425a5528d72b7ee3fb99759b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000548.json b/manifests/batches/mathlib/000548.json
index 8e4f54fdf2913e4d2aea4d8554ac4f43238ba322..f916d025f2545dd768db4b1de080246d414b07f7 100644
--- a/manifests/batches/mathlib/000548.json
+++ b/manifests/batches/mathlib/000548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000548",
   "batch_fingerprint": "ea4a1bb1098bd151078a21740f679bb46f63af94a221befb0c55f1c04a5d8479",
   "evidence": {
@@ -1065,15 +1064,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000548-0000-0c481439c08050ca.parquet",
-      "sha256": "0c481439c08050ca963591869b89787e3050624570af0ed35d1e1873a8ee4e1a",
-      "bytes": 273155,
-      "rows": 14,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.expUnitary",
     "mathlib:QuasispectrumRestricts.closedEmbedding_nonUnitalStarAlgHom",
@@ -1087,5 +1078,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/ContinuousFunctionalCalculus/Restrict.lean\",null,null,\"SpectrumRestricts.compactSpace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/ContinuousFunctionalCalculus/Restrict.lean\",null,null,\"SpectrumRestricts.starAlgHom_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Exponential.lean\",null,null,\"Commute.expUnitary\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273155,
+      "path": "data/train/p65/mathlib-000548-0000-0c481439c08050ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0c481439c08050ca963591869b89787e3050624570af0ed35d1e1873a8ee4e1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000549.json b/manifests/batches/mathlib/000549.json
index 589a6df72e9fe6d58ba23da637dcd79df8c1a950..d0c1a9470733aebad0306ed6e580b0f398737f79 100644
--- a/manifests/batches/mathlib/000549.json
+++ b/manifests/batches/mathlib/000549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000549",
   "batch_fingerprint": "b0cd626ede15be1b674f70c77a0cf28699b676e5f8815dcd35da8aa82afcdb59",
   "evidence": {
@@ -1169,28 +1168,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Matrix.l2_opNorm_conjTranspose",
+    "mathlib:Matrix.l2_opNorm_mul"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Matrix.lean\",null,null,\"Matrix.l2_opNorm_conjTranspose\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Matrix.lean\",null,null,\"Matrix.l2_opNorm_mul\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000549-0000-77af43fa1f66a963.parquet",
-      "sha256": "77af43fa1f66a963cd4c5d2e5fc224d80465fa74de88f2e6d57c7e2c420d36d6",
       "bytes": 431888,
+      "path": "data/train/pbb/mathlib-000549-0000-77af43fa1f66a963.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "77af43fa1f66a963cd4c5d2e5fc224d80465fa74de88f2e6d57c7e2c420d36d6"
     },
     {
-      "path": "data/train/mathlib-000549-0001-995b2bcb879e673f.parquet",
-      "sha256": "995b2bcb879e673f830ecec0c9ae248f8dfe065b0ec9f3d81c8b2f1502440bf0",
       "bytes": 290689,
+      "path": "data/train/pbb/mathlib-000549-0001-995b2bcb879e673f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "995b2bcb879e673f830ecec0c9ae248f8dfe065b0ec9f3d81c8b2f1502440bf0"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Matrix.l2_opNorm_conjTranspose",
-    "mathlib:Matrix.l2_opNorm_mul"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Matrix.lean\",null,null,\"Matrix.l2_opNorm_conjTranspose\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Matrix.lean\",null,null,\"Matrix.l2_opNorm_mul\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000550.json b/manifests/batches/mathlib/000550.json
index b4012642bb64be13159d0ce80cb5b419e64a913e..2fb0bac4d7d0c381c10728a93acdddbe2d5a346e 100644
--- a/manifests/batches/mathlib/000550.json
+++ b/manifests/batches/mathlib/000550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000550",
   "batch_fingerprint": "49101c3c35113344882bb66956c199b0d1de4eceb1f914965fa9979bf2a4a94f",
   "evidence": {
@@ -1586,22 +1585,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000550-0000-0588044b1db6b04b.parquet",
-      "sha256": "0588044b1db6b04bf11498bc0170cc954a5eb650973fba7e03cf5d536c45edc3",
-      "bytes": 94151,
-      "rows": 11,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000550-0000-32dae453c04f15c6.parquet",
-      "sha256": "32dae453c04f15c61aa66a0ab66757ce16cf5219ee5734059c60d0b4e844f0ef",
-      "bytes": 42424,
-      "rows": 1,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DoubleCentralizer.ext",
     "mathlib:DoubleCentralizer.norm_fst",
@@ -1619,5 +1603,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Multiplier.lean\",null,null,\"DoubleCentralizer.range_toProdMulOpposite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Spectrum.lean\",null,null,\"IsSelfAdjoint.val_re_map_spectrum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Star/Spectrum.lean\",null,null,\"StarAlgEquiv.nnnorm_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94151,
+      "path": "data/train/p01/mathlib-000550-0000-0588044b1db6b04b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0588044b1db6b04bf11498bc0170cc954a5eb650973fba7e03cf5d536c45edc3"
+    },
+    {
+      "bytes": 42424,
+      "path": "data/internal_test/p01/mathlib-000550-0000-32dae453c04f15c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "32dae453c04f15c61aa66a0ab66757ce16cf5219ee5734059c60d0b4e844f0ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000551.json b/manifests/batches/mathlib/000551.json
index 045d0c91eb90e36cf128199fa1fa058677fc9074..6048eb42d2c778a6a6a98abcbc4bd0db5f71f9c3 100644
--- a/manifests/batches/mathlib/000551.json
+++ b/manifests/batches/mathlib/000551.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000551",
   "batch_fingerprint": "792365eec284102e83b168162e7fd26e7bfcfbd76a8828f5d9b4906e764213c9",
   "evidence": {
@@ -567,29 +566,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000551-0000-5f87ec52ea16ab0c.parquet",
-      "sha256": "5f87ec52ea16ab0cd4d9b277ee7472fd61b4114a5816c4a97c8840a976b7c944",
-      "bytes": 123746,
-      "rows": 15,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/mathlib-000551-0000-11e8e17e82de2497.parquet",
-      "sha256": "11e8e17e82de2497ad716e8c8a8a6bc15ea1d48f46a813c4ca282276b70cd876",
-      "bytes": 58497,
-      "rows": 4,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000551-0000-4bdc3fbe37a0576b.parquet",
-      "sha256": "4bdc3fbe37a0576b96e36731c86ab9c4a24ddfceb8b580966bd28c456006308c",
-      "bytes": 44951,
-      "rows": 1,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TrivSqZeroExt.eq_smul_exp_of_invertible",
     "mathlib:TrivSqZeroExt.exp_inl",
@@ -619,5 +596,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.norm_inr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.snd_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/TrivSqZeroExt.lean\",null,null,\"TrivSqZeroExt.snd_expSeries_of_smul_comm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123746,
+      "path": "data/train/p26/mathlib-000551-0000-5f87ec52ea16ab0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5f87ec52ea16ab0cd4d9b277ee7472fd61b4114a5816c4a97c8840a976b7c944"
+    },
+    {
+      "bytes": 58497,
+      "path": "data/dev/p26/mathlib-000551-0000-11e8e17e82de2497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "11e8e17e82de2497ad716e8c8a8a6bc15ea1d48f46a813c4ca282276b70cd876"
+    },
+    {
+      "bytes": 44951,
+      "path": "data/internal_test/p26/mathlib-000551-0000-4bdc3fbe37a0576b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4bdc3fbe37a0576b96e36731c86ab9c4a24ddfceb8b580966bd28c456006308c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000552.json b/manifests/batches/mathlib/000552.json
index 97e04d1dde16eba71f2ad621c5f33fe74e2311f3..3e8a7dd0c93b4c12a9d3ec54d6c057a45efc88ec 100644
--- a/manifests/batches/mathlib/000552.json
+++ b/manifests/batches/mathlib/000552.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000552",
   "batch_fingerprint": "48911fe0306d76a57bab221d4255e0a77324f2d37a27a3828b5de0a9c357e77b",
   "evidence": {
@@ -553,22 +552,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000552-0000-8e4efb6d6fb9c076.parquet",
-      "sha256": "8e4efb6d6fb9c076e2bfe318cc5f7040e4d349e5a164af4aa0bc3bcc74de1c4e",
-      "bytes": 116480,
-      "rows": 8,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000552-0000-d5bff6bfc8bc7bd4.parquet",
-      "sha256": "d5bff6bfc8bc7bd4b7cf19f26c7e06d1a80488b97e4c05b6531bc15a3d21cf5f",
-      "bytes": 201188,
-      "rows": 10,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Unitization.norm_eq_sup",
     "mathlib:Unitization.norm_inr",
@@ -586,5 +570,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Unitization.lean\",null,null,\"Unitization.uniformity_eq_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/UnitizationL1.lean\",null,null,\"WithLp.unitization_nnnorm_inr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/UnitizationL1.lean\",null,null,\"WithLp.unitization_norm_inr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116480,
+      "path": "data/train/peb/mathlib-000552-0000-8e4efb6d6fb9c076.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8e4efb6d6fb9c076e2bfe318cc5f7040e4d349e5a164af4aa0bc3bcc74de1c4e"
+    },
+    {
+      "bytes": 201188,
+      "path": "data/internal_test/peb/mathlib-000552-0000-d5bff6bfc8bc7bd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d5bff6bfc8bc7bd4b7cf19f26c7e06d1a80488b97e4c05b6531bc15a3d21cf5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000553.json b/manifests/batches/mathlib/000553.json
index 5b209cca792dc7b0a6a49dcd6ea84e10a0d42b53..f1891fdebdb5832d877fd7971ce8e715f4e2fd8c 100644
--- a/manifests/batches/mathlib/000553.json
+++ b/manifests/batches/mathlib/000553.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000553",
   "batch_fingerprint": "bbe42bb0b4d4a00895fe7d0e4c70dd099dbef99a2863da533f47c2d244f0847b",
   "evidence": {
@@ -920,29 +919,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000553-0000-e38c2a6630ce9d86.parquet",
-      "sha256": "e38c2a6630ce9d862d073d25f268753f1a249415df441aed61e4a962a0e7d309",
-      "bytes": 103455,
-      "rows": 20,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/mathlib-000553-0000-7b49070913121c82.parquet",
-      "sha256": "7b49070913121c82df5cc0370fe249346460f75e655c4f750e8a8ee3eef22c9f",
-      "bytes": 53596,
-      "rows": 6,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000553-0000-d534a84e14689e7a.parquet",
-      "sha256": "d534a84e14689e7aad89696005beb935b31838107236a930f283e7fe3e3141d9",
-      "bytes": 34602,
-      "rows": 1,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.closure_ne_top",
     "mathlib:NormedRing.inverse_add_norm_diff_first_order",
@@ -968,5 +945,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Units.lean\",null,null,\"Units.isOpen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/Units.lean\",null,null,\"nonunits.subset_compl_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/WeakDual.lean\",null,null,\"WeakDual.isClosed_polar\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103455,
+      "path": "data/train/p01/mathlib-000553-0000-e38c2a6630ce9d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e38c2a6630ce9d862d073d25f268753f1a249415df441aed61e4a962a0e7d309"
+    },
+    {
+      "bytes": 53596,
+      "path": "data/dev/p01/mathlib-000553-0000-7b49070913121c82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7b49070913121c82df5cc0370fe249346460f75e655c4f750e8a8ee3eef22c9f"
+    },
+    {
+      "bytes": 34602,
+      "path": "data/internal_test/p01/mathlib-000553-0000-d534a84e14689e7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d534a84e14689e7aad89696005beb935b31838107236a930f283e7fe3e3141d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000554.json b/manifests/batches/mathlib/000554.json
index a7325e616fcc28628b13acbd34d3aed34a394d96..f919215e4f8c7fa0cb02607cad987e5bdb13a3b3 100644
--- a/manifests/batches/mathlib/000554.json
+++ b/manifests/batches/mathlib/000554.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000554",
   "batch_fingerprint": "27822b78f51db3cab80d9e1b5a4a8cadacf3cad3c03008a114c546300377c89a",
   "evidence": {
@@ -4503,29 +4502,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000554-0000-7df178d4f7e328ad.parquet",
-      "sha256": "7df178d4f7e328ade7fb156d88fbf1ed67e400ab1cacec18ef3363c136aac671",
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-      "rows": 64,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
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-    {
-      "path": "data/dev/mathlib-000554-0000-08265d45d4c73d79.parquet",
-      "sha256": "08265d45d4c73d79bbaddf0227769b646ceb69c88b86ede1fa4ac98fd6d36e44",
-      "bytes": 64974,
-      "rows": 2,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000554-0000-8419215090a5700b.parquet",
-      "sha256": "8419215090a5700bcb385a700a01abdd36f2bd4818276be54f5d4b2c1219853a",
-      "bytes": 58224,
-      "rows": 5,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LipschitzWith.coordinate",
     "mathlib:Mem\u2113p.const_mul",
@@ -4577,5 +4554,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/lpSpace.lean\",null,null,\"mem\u2113p_infty_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/lpSpace.lean\",null,null,\"mem\u2113p_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/NormedSpace/lpSpace.lean\",null,null,\"one_mem\u2113p_infty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280875,
+      "path": "data/train/pc1/mathlib-000554-0000-7df178d4f7e328ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "7df178d4f7e328ade7fb156d88fbf1ed67e400ab1cacec18ef3363c136aac671"
+    },
+    {
+      "bytes": 64974,
+      "path": "data/dev/pc1/mathlib-000554-0000-08265d45d4c73d79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "08265d45d4c73d79bbaddf0227769b646ceb69c88b86ede1fa4ac98fd6d36e44"
+    },
+    {
+      "bytes": 58224,
+      "path": "data/internal_test/pc1/mathlib-000554-0000-8419215090a5700b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8419215090a5700bcb385a700a01abdd36f2bd4818276be54f5d4b2c1219853a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000555.json b/manifests/batches/mathlib/000555.json
index 4e3cc25cafbd7ce52ffb39d3228ccd3c87cbe396..7b55a1975b04d4929fab78c60247b294661d5465 100644
--- a/manifests/batches/mathlib/000555.json
+++ b/manifests/batches/mathlib/000555.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000555",
   "batch_fingerprint": "1d9c8974555c37f2d9dc64905c105230d7b238bd299bf20e3e2633136085a0bd",
   "evidence": {
@@ -2091,22 +2090,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000555-0000-68fd08c1f3532fea.parquet",
-      "sha256": "68fd08c1f3532fea2c92ea18fff0aae9322a389222399c233c4812e22ad3279d",
-      "bytes": 110994,
-      "rows": 28,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000555-0000-a18ee8e56e429fa4.parquet",
-      "sha256": "a18ee8e56e429fa4259dab2884902ecb932b07f6281c1018a285f29053d2dcc8",
-      "bytes": 65171,
-      "rows": 9,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPicardLindelof.exists_forall_hasDerivWithinAt_Icc_eq",
     "mathlib:ODE_solution_unique_of_eventually",
@@ -2136,5 +2120,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ODE/PicardLindelof.lean\",null,null,\"PicardLindelof.exists_contracting_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ODE/PicardLindelof.lean\",null,null,\"PicardLindelof.proj_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/ODE/PicardLindelof.lean\",null,null,\"exists_forall_hasDerivAt_Ioo_eq_of_contDiffAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110994,
+      "path": "data/train/p96/mathlib-000555-0000-68fd08c1f3532fea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "68fd08c1f3532fea2c92ea18fff0aae9322a389222399c233c4812e22ad3279d"
+    },
+    {
+      "bytes": 65171,
+      "path": "data/internal_test/p96/mathlib-000555-0000-a18ee8e56e429fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a18ee8e56e429fa4259dab2884902ecb932b07f6281c1018a285f29053d2dcc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000556.json b/manifests/batches/mathlib/000556.json
index cc5ab03027f53239bb98ac539de737a81763ab4e..629f172b529a940263f94ac4e7bd1a79bb74733b 100644
--- a/manifests/batches/mathlib/000556.json
+++ b/manifests/batches/mathlib/000556.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000556",
   "batch_fingerprint": "4fb3cb0a28256b45f69befb69054315e99aad35a9b56513746cec5b6db2f51e1",
   "evidence": {
@@ -1736,29 +1735,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000556-0000-47500036b71f9c22.parquet",
-      "sha256": "47500036b71f9c2227fb964def37213ee7155f48c50cee0fb829b5b353428cd6",
-      "bytes": 148610,
-      "rows": 34,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/mathlib-000556-0000-90bda3746fda6124.parquet",
-      "sha256": "90bda3746fda612431d5eb770989e28dced744336a7aa98143d42c5132134948",
-      "bytes": 29190,
-      "rows": 1,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000556-0000-50af2323a8d35c5f.parquet",
-      "sha256": "50af2323a8d35c5f436f926f4b7900dfcee8ef37be1101197a46e538f949bad3",
-      "bytes": 29501,
-      "rows": 2,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.summable_one_div_nat_cpow",
     "mathlib:ENNReal.le_tsum_condensed",
@@ -1802,5 +1779,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/PSeries.lean\",null,null,\"Real.summable_one_div_nat_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/PSeries.lean\",null,null,\"Real.summable_one_div_nat_rpow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/PSeriesComplex.lean\",null,null,\"Complex.summable_one_div_nat_cpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148610,
+      "path": "data/train/pf1/mathlib-000556-0000-47500036b71f9c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "47500036b71f9c2227fb964def37213ee7155f48c50cee0fb829b5b353428cd6"
+    },
+    {
+      "bytes": 29190,
+      "path": "data/dev/pf1/mathlib-000556-0000-90bda3746fda6124.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "90bda3746fda612431d5eb770989e28dced744336a7aa98143d42c5132134948"
+    },
+    {
+      "bytes": 29501,
+      "path": "data/internal_test/pf1/mathlib-000556-0000-50af2323a8d35c5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "50af2323a8d35c5f436f926f4b7900dfcee8ef37be1101197a46e538f949bad3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000557.json b/manifests/batches/mathlib/000557.json
index 639de149e8c2ec8b79852c23cb3269b68a928749..76073dbacd1f3b0ef4e082be45696ad5f24de5e0 100644
--- a/manifests/batches/mathlib/000557.json
+++ b/manifests/batches/mathlib/000557.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000557",
   "batch_fingerprint": "3340027e20029cebbc4e4a909b5dc812f10c8366a604c7a3d710c5c989726847",
   "evidence": {
@@ -3088,29 +3087,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000557-0000-be41dd14813d4a7a.parquet",
-      "sha256": "be41dd14813d4a7abda3b4e7be2135c01110c8a5ed9027a636a642798f1b270d",
-      "bytes": 259680,
-      "rows": 93,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/mathlib-000557-0000-cbf9936795d4bb1f.parquet",
-      "sha256": "cbf9936795d4bb1fb1945106c3ed48b05674868dc9e932ce3b7aa7e39bd539ab",
-      "bytes": 41643,
-      "rows": 3,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000557-0000-5c044034a15bf2e9.parquet",
-      "sha256": "5c044034a15bf2e93ced3d2331f47632ea2342d9fb7fb7dc3754c094d2bef205",
-      "bytes": 53997,
-      "rows": 12,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quaternion.coeComplex_add",
     "mathlib:Quaternion.coeComplex_mul",
@@ -3276,5 +3253,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/RCLike/Basic.lean\",null,null,\"RCLike.sqrt_normSq_eq_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/RCLike/Basic.lean\",null,null,\"RCLike.toOrderedSMul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/RCLike/Basic.lean\",null,null,\"StarModule.instOrderedSMul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259680,
+      "path": "data/train/p5b/mathlib-000557-0000-be41dd14813d4a7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "be41dd14813d4a7abda3b4e7be2135c01110c8a5ed9027a636a642798f1b270d"
+    },
+    {
+      "bytes": 41643,
+      "path": "data/dev/p5b/mathlib-000557-0000-cbf9936795d4bb1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cbf9936795d4bb1fb1945106c3ed48b05674868dc9e932ce3b7aa7e39bd539ab"
+    },
+    {
+      "bytes": 53997,
+      "path": "data/internal_test/p5b/mathlib-000557-0000-5c044034a15bf2e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5c044034a15bf2e93ced3d2331f47632ea2342d9fb7fb7dc3754c094d2bef205"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000558.json b/manifests/batches/mathlib/000558.json
index 2d81f564d48f1c1b6a9d7de83cfb5caba92e741a..412ba5b54eb8165a8b76b9870216881e642c73f0 100644
--- a/manifests/batches/mathlib/000558.json
+++ b/manifests/batches/mathlib/000558.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000558",
   "batch_fingerprint": "e9176783db387ce60f71cd4e7b42b3bec2b7e945b4bfa3af0a6dc3a97e21add5",
   "evidence": {
@@ -2935,29 +2934,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000558-0000-6391713ba52bc7aa.parquet",
-      "sha256": "6391713ba52bc7aa0eddc8f4c3b201e9c488d8bb2e973684f5a6e88ebac37cae",
-      "bytes": 590083,
-      "rows": 115,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/mathlib-000558-0000-ecb37e886374b8bd.parquet",
-      "sha256": "ecb37e886374b8bdee23d39470cadac35e23a97311b1ece1c9974851235a923d",
-      "bytes": 98930,
-      "rows": 11,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000558-0000-ed8471f691a804d8.parquet",
-      "sha256": "ed8471f691a804d817fb41baedfd2a597b5270234fc4af750022e1d67975b2d3",
-      "bytes": 103169,
-      "rows": 16,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FiniteDimensional.proper_rclike",
     "mathlib:RCLike.reCLM_norm",
@@ -3085,5 +3062,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Seminorm.lean\",null,null,\"absorbent_ball_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Seminorm.lean\",null,null,\"balanced_ball_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/Seminorm.lean\",null,null,\"ball_normSeminorm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590083,
+      "path": "data/train/p07/mathlib-000558-0000-6391713ba52bc7aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "6391713ba52bc7aa0eddc8f4c3b201e9c488d8bb2e973684f5a6e88ebac37cae"
+    },
+    {
+      "bytes": 98930,
+      "path": "data/dev/p07/mathlib-000558-0000-ecb37e886374b8bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ecb37e886374b8bdee23d39470cadac35e23a97311b1ece1c9974851235a923d"
+    },
+    {
+      "bytes": 103169,
+      "path": "data/internal_test/p07/mathlib-000558-0000-ed8471f691a804d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ed8471f691a804d817fb41baedfd2a597b5270234fc4af750022e1d67975b2d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000559.json b/manifests/batches/mathlib/000559.json
index 4189816d38c805d42d444d1d9d4deda69347958b..4819c4a784b76bc7738003feb083e70837288ede 100644
--- a/manifests/batches/mathlib/000559.json
+++ b/manifests/batches/mathlib/000559.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000559",
   "batch_fingerprint": "e2587ea14bf308f9c91e838db4deb92b524350e2b1cf6c19ed7f4e3f212cce59",
   "evidence": {
@@ -1514,15 +1513,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000559-0000-593938c8ec4f05d8.parquet",
-      "sha256": "593938c8ec4f05d8f2881b9d3699d8e9113ae135eb4d4bbfd714e0222ced1ef9",
-      "bytes": 76764,
-      "rows": 24,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.arsinh_neg",
     "mathlib:Real.arsinh_nonneg_iff",
@@ -1550,5 +1541,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Bernstein.lean\",null,null,\"bernsteinApproximation.le_of_mem_S_compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Bernstein.lean\",null,null,\"bernsteinApproximation.lt_of_mem_S\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Bernstein.lean\",null,null,\"bernstein_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76764,
+      "path": "data/train/pc0/mathlib-000559-0000-593938c8ec4f05d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "593938c8ec4f05d8f2881b9d3699d8e9113ae135eb4d4bbfd714e0222ced1ef9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000560.json b/manifests/batches/mathlib/000560.json
index 0f73713b4da95688b211b214bc8fc37b8ee54910..cee9a1ca3fe37e54d0339dffcbe74481c60ef773 100644
--- a/manifests/batches/mathlib/000560.json
+++ b/manifests/batches/mathlib/000560.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000560",
   "batch_fingerprint": "85896b3adc46dc74782911823721689f0c3da660b88ba63a6106e45381a96059",
   "evidence": {
@@ -615,15 +614,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000560-0000-39ddd7d0fa7455a7.parquet",
-      "sha256": "39ddd7d0fa7455a7314c104e359301e5ef5c9248a9b27e585598f934d5c6280c",
-      "bytes": 66799,
-      "rows": 16,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.IsExpCmpFilter.abs_im_pow_eventuallyLE_exp_re",
     "mathlib:Complex.IsExpCmpFilter.isLittleO_cpow_exp",
@@ -647,5 +638,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/CompareExp.lean\",null,null,\"Complex.IsExpCmpFilter.of_isBigO_im_re_rpow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Analytic.lean\",null,null,\"analyticAt_clog\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Analytic.lean\",null,null,\"analyticOn_cexp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66799,
+      "path": "data/train/pea/mathlib-000560-0000-39ddd7d0fa7455a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "39ddd7d0fa7455a7314c104e359301e5ef5c9248a9b27e585598f934d5c6280c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000561.json b/manifests/batches/mathlib/000561.json
index 56bebeba7b125c225d566b7a1b22974a94107548..a1655dd8ef82b1bfc9552d8fabe5d1670de92f2b 100644
--- a/manifests/batches/mathlib/000561.json
+++ b/manifests/batches/mathlib/000561.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000561",
   "batch_fingerprint": "913bd5c5fab1e5ef5af0e00c0531d85edf9d320d22e83dc8fad7b0104af7d1ad",
   "evidence": {
@@ -4035,29 +4034,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000561-0000-bbfee5892ccd6947.parquet",
-      "sha256": "bbfee5892ccd69472a7cba44ba66d99493bfdaf1eefd78b0cf2b858e0f347c10",
-      "bytes": 127480,
-      "rows": 47,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000561-0000-e286e350a6778c1d.parquet",
-      "sha256": "e286e350a6778c1db9962c2adfcc36c1d837fb623f4cb228c05b382d9103fc79",
-      "bytes": 51282,
-      "rows": 7,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000561-0000-4249c389ad3f9a30.parquet",
-      "sha256": "4249c389ad3f9a30b6d8886cec0138948544dac2309382fe51b73e88c30505eb",
-      "bytes": 53362,
-      "rows": 7,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.abs_arg_inv",
     "mathlib:Complex.abs_arg_le_pi_div_two_iff",
@@ -4145,5 +4122,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean\",null,null,\"Complex.range_exp_mul_I\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean\",null,null,\"Complex.sin_arg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean\",null,null,\"Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127480,
+      "path": "data/train/pe6/mathlib-000561-0000-bbfee5892ccd6947.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "bbfee5892ccd69472a7cba44ba66d99493bfdaf1eefd78b0cf2b858e0f347c10"
+    },
+    {
+      "bytes": 51282,
+      "path": "data/dev/pe6/mathlib-000561-0000-e286e350a6778c1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e286e350a6778c1db9962c2adfcc36c1d837fb623f4cb228c05b382d9103fc79"
+    },
+    {
+      "bytes": 53362,
+      "path": "data/internal_test/pe6/mathlib-000561-0000-4249c389ad3f9a30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4249c389ad3f9a30b6d8886cec0138948544dac2309382fe51b73e88c30505eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000562.json b/manifests/batches/mathlib/000562.json
index 13406675fca0f2c46ad2b96b9a16dfdb5deb920f..0ff0dc6feb3b5d937fc8cd4e793a5b797d454dc6 100644
--- a/manifests/batches/mathlib/000562.json
+++ b/manifests/batches/mathlib/000562.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000562",
   "batch_fingerprint": "3a458e631f8178ddac1dae2e2654ee7eacaa44e1189af614f8a0dae982cde409",
   "evidence": {
@@ -1183,29 +1182,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000562-0000-f6c125f929865d7d.parquet",
-      "sha256": "f6c125f929865d7d401495f7d8ae46c183a18b06bf45e1f725f0fb48cae88dc2",
-      "bytes": 134945,
-      "rows": 51,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000562-0000-4702a3670938fc2f.parquet",
-      "sha256": "4702a3670938fc2f29172bfcd608f257cdc6b0f72b96f1961f15c8ea88391c43",
-      "bytes": 51251,
-      "rows": 8,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000562-0000-c85ebbc01c07f6f1.parquet",
-      "sha256": "c85ebbc01c07f6f1c60010b29c4cac6ab54e15bd5fee78c9aa67498ebb79edd9",
-      "bytes": 42711,
-      "rows": 3,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCircle.homeomorphCircle_apply",
     "mathlib:AddCircle.injective_toCircle",
@@ -1281,5 +1258,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Log.lean\",null,null,\"Complex.range_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Log.lean\",null,null,\"Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/Log.lean\",null,null,\"Complex.two_pi_I_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134945,
+      "path": "data/train/pab/mathlib-000562-0000-f6c125f929865d7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "f6c125f929865d7d401495f7d8ae46c183a18b06bf45e1f725f0fb48cae88dc2"
+    },
+    {
+      "bytes": 51251,
+      "path": "data/dev/pab/mathlib-000562-0000-4702a3670938fc2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4702a3670938fc2f29172bfcd608f257cdc6b0f72b96f1961f15c8ea88391c43"
+    },
+    {
+      "bytes": 42711,
+      "path": "data/internal_test/pab/mathlib-000562-0000-c85ebbc01c07f6f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c85ebbc01c07f6f1c60010b29c4cac6ab54e15bd5fee78c9aa67498ebb79edd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000563.json b/manifests/batches/mathlib/000563.json
index bacd01ba4371aad76965f265b92c3d488194d65e..ae22b3af6c1fa10b576ec14ce8dc946094edf1aa 100644
--- a/manifests/batches/mathlib/000563.json
+++ b/manifests/batches/mathlib/000563.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000563",
   "batch_fingerprint": "84f95ca6bc579763a8790144c0b66882ee03cff070023c8a62761ca4f988057e",
   "evidence": {
@@ -1448,29 +1447,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000563-0000-903d3ff615232aff.parquet",
-      "sha256": "903d3ff615232aff63c56f836f730248f0ec7edc68ba7fa47cf58c3f1436c3ca",
-      "bytes": 77982,
-      "rows": 18,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000563-0000-4e6e70547b243a30.parquet",
-      "sha256": "4e6e70547b243a304170940408de8a0e445248c333d6cee64472da6231d9a8ad",
-      "bytes": 26739,
-      "rows": 1,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000563-0000-03111fb14aa53da8.parquet",
-      "sha256": "03111fb14aa53da8118a229ddfdccf6eecdf68c467b78d8f176b1bebf3c4daa0",
-      "bytes": 47940,
-      "rows": 4,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.continuousOn_one_add_mul_inv",
     "mathlib:Complex.hasStrictDerivAt_log",
@@ -1500,5 +1477,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean\",null,null,\"HasDerivWithinAt.clog_real\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean\",null,null,\"HasStrictDerivAt.clog_real\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77982,
+      "path": "data/train/p0d/mathlib-000563-0000-903d3ff615232aff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "903d3ff615232aff63c56f836f730248f0ec7edc68ba7fa47cf58c3f1436c3ca"
+    },
+    {
+      "bytes": 26739,
+      "path": "data/dev/p0d/mathlib-000563-0000-4e6e70547b243a30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e6e70547b243a304170940408de8a0e445248c333d6cee64472da6231d9a8ad"
+    },
+    {
+      "bytes": 47940,
+      "path": "data/internal_test/p0d/mathlib-000563-0000-03111fb14aa53da8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "03111fb14aa53da8118a229ddfdccf6eecdf68c467b78d8f176b1bebf3c4daa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000564.json b/manifests/batches/mathlib/000564.json
index e20d0ac458a16c844c0ce545e5096905fc2f5c9b..0a63044268b627ab73c90fbfed2ee79fbf80fdbe 100644
--- a/manifests/batches/mathlib/000564.json
+++ b/manifests/batches/mathlib/000564.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000564",
   "batch_fingerprint": "58eb056d4859f4680f75735a7eab228ccdcb621ed6eaafd756b3a0bb2d80021c",
   "evidence": {
@@ -2162,22 +2161,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000564-0000-7d9d26914b79cb7b.parquet",
-      "sha256": "7d9d26914b79cb7b8042267eae3e4b1b89c04745c2e6b649155ea261f9e951ef",
-      "bytes": 135744,
-      "rows": 44,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000564-0000-bdf67e386be4682e.parquet",
-      "sha256": "bdf67e386be4682e6f1fdb6124b9add0c87f7fbda5aedaf248feaaa5f2fcdb8b",
-      "bytes": 34037,
-      "rows": 2,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.comap_exp_cobounded",
     "mathlib:Complex.comap_exp_nhdsWithin_zero",
@@ -2249,5 +2233,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean\",null,null,\"Real.iter_deriv_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean\",null,null,\"iteratedDeriv_cexp_const_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean\",null,null,\"iteratedDeriv_exp_const_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135744,
+      "path": "data/train/p9f/mathlib-000564-0000-7d9d26914b79cb7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "7d9d26914b79cb7b8042267eae3e4b1b89c04745c2e6b649155ea261f9e951ef"
+    },
+    {
+      "bytes": 34037,
+      "path": "data/internal_test/p9f/mathlib-000564-0000-bdf67e386be4682e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bdf67e386be4682e6f1fdb6124b9add0c87f7fbda5aedaf248feaaa5f2fcdb8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000565.json b/manifests/batches/mathlib/000565.json
index 796ce9d20515d1056ef5063e6b470620899d51d7..3b35cc8b283577abb4e4c6b6aeb7d462e36a2a61 100644
--- a/manifests/batches/mathlib/000565.json
+++ b/manifests/batches/mathlib/000565.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000565",
   "batch_fingerprint": "72a6ab1131e8291e5a627fe691739ffeae0b692a284f912d9692789728e5f799",
   "evidence": {
@@ -4225,22 +4224,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000565-0000-9a4bb45ce16f1365.parquet",
-      "sha256": "9a4bb45ce16f1365794bd99c78e69333525b316337ab874e8a94312c082ab883",
-      "bytes": 192004,
-      "rows": 33,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000565-0000-82b84dc556131928.parquet",
-      "sha256": "82b84dc556131928ad72806991b6f2431e2b8d39828ebfcc05d4220645c58265",
-      "bytes": 34445,
-      "rows": 4,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.GammaIntegral_eq_mellin",
     "mathlib:Complex.GammaIntegral_one",
@@ -4284,5 +4268,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean\",null,null,\"Real.Gamma_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean\",null,null,\"Real.Gamma_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean\",null,null,\"Real.differentiableAt_Gamma\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192004,
+      "path": "data/train/p76/mathlib-000565-0000-9a4bb45ce16f1365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "9a4bb45ce16f1365794bd99c78e69333525b316337ab874e8a94312c082ab883"
+    },
+    {
+      "bytes": 34445,
+      "path": "data/internal_test/p76/mathlib-000565-0000-82b84dc556131928.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "82b84dc556131928ad72806991b6f2431e2b8d39828ebfcc05d4220645c58265"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000566.json b/manifests/batches/mathlib/000566.json
index e891e02ef89cf0a0044271018f7e39760bb5a42b..041b275616f3682dbdebbdc35cb0d1fcae930c35 100644
--- a/manifests/batches/mathlib/000566.json
+++ b/manifests/batches/mathlib/000566.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000566",
   "batch_fingerprint": "932e54e7b9d03d1b4d318d93ea849f8f9fdd2b37e6201716d6ea416680e60edc",
   "evidence": {
@@ -6034,29 +6033,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000566-0000-88f65f094af35418.parquet",
-      "sha256": "88f65f094af35418cfec79d347f05aca19f9338f92e545084e0b409a016d969d",
-      "bytes": 79061,
-      "rows": 24,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000566-0000-6c81c6013cbf11d1.parquet",
-      "sha256": "6c81c6013cbf11d14e9c61f1cfec03838f04b92863532930896c468ac4334421",
-      "bytes": 42280,
-      "rows": 2,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000566-0000-ac325add0c37602c.parquet",
-      "sha256": "ac325add0c37602c3f6a2f7e75a0877cd82940f44507f860e427f20fc68eceb7",
-      "bytes": 46969,
-      "rows": 2,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.GammaSeq_eq_betaIntegral_of_re_pos",
     "mathlib:Complex.Gamma_ne_zero_of_re_pos",
@@ -6086,5 +6063,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gamma/BohrMollerup.lean\",null,null,\"StrictConcaveOn.congr\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 79061,
+      "path": "data/train/p68/mathlib-000566-0000-88f65f094af35418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "88f65f094af35418cfec79d347f05aca19f9338f92e545084e0b409a016d969d"
+    },
+    {
+      "bytes": 42280,
+      "path": "data/dev/p68/mathlib-000566-0000-6c81c6013cbf11d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6c81c6013cbf11d14e9c61f1cfec03838f04b92863532930896c468ac4334421"
+    },
+    {
+      "bytes": 46969,
+      "path": "data/internal_test/p68/mathlib-000566-0000-ac325add0c37602c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ac325add0c37602c3f6a2f7e75a0877cd82940f44507f860e427f20fc68eceb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000567.json b/manifests/batches/mathlib/000567.json
index 44dc756dee5de8a354ef0c6eb8f54470e54f4260..6b9e4fd052b94b80daab82ce1c97af7d5be9a3e2 100644
--- a/manifests/batches/mathlib/000567.json
+++ b/manifests/batches/mathlib/000567.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000567",
   "batch_fingerprint": "130b53d5a4b90630d33cb7d9d18a9b3f11474489e585fc3e2ec917f83ffe4cc2",
   "evidence": {
@@ -2719,22 +2718,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000567-0000-58f6df370a14fbb4.parquet",
-      "sha256": "58f6df370a14fbb4b63bf93010b1ea41244b10c9b103f91353964fce8767b8a9",
-      "bytes": 156006,
-      "rows": 31,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000567-0000-208d923742bd4a33.parquet",
-      "sha256": "208d923742bd4a339c133f62a401f140a71c464ec8c03080db75453a0f16bf1d",
-      "bytes": 45312,
-      "rows": 1,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.Gamma\u2102_add_one",
     "mathlib:Complex.Gamma\u2102_one",
@@ -2764,5 +2748,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gaussian/FourierTransform.lean\",null,null,\"GaussianFourier.integral_cexp_neg_mul_sum_add\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Gaussian/FourierTransform.lean\",null,null,\"fourierIntegral_gaussian_pi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156006,
+      "path": "data/train/p02/mathlib-000567-0000-58f6df370a14fbb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "58f6df370a14fbb4b63bf93010b1ea41244b10c9b103f91353964fce8767b8a9"
+    },
+    {
+      "bytes": 45312,
+      "path": "data/dev/p02/mathlib-000567-0000-208d923742bd4a33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "208d923742bd4a339c133f62a401f140a71c464ec8c03080db75453a0f16bf1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000568.json b/manifests/batches/mathlib/000568.json
index 5df9766d55bfb1d1be068be820416ad3b43a923c..f8bac803f8bc07396dcd11153bc56042eac925f7 100644
--- a/manifests/batches/mathlib/000568.json
+++ b/manifests/batches/mathlib/000568.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000568",
   "batch_fingerprint": "4a6e6be0cb45b2e9f19809c296e261e8e8800ad26f17285cebe97294519cc79c",
   "evidence": {
@@ -2738,22 +2737,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000568-0000-ca52dd64336ec7c5.parquet",
-      "sha256": "ca52dd64336ec7c59a54cb3cb168c9733efc9c81d9c0263c79387f2bf16d612e",
-      "bytes": 59925,
-      "rows": 13,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000568-0000-71cde3e9d5301b94.parquet",
-      "sha256": "71cde3e9d5301b947cecd1c404e9799a81c6d628ca8b9fec3556957ad9fd17c9",
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-      "rows": 3,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:cexp_neg_quadratic_isLittleO_rpow_atTop",
     "mathlib:exp_neg_mul_sq_isLittleO_exp_neg",
@@ -2773,5 +2757,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 59925,
+      "path": "data/train/pd4/mathlib-000568-0000-ca52dd64336ec7c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ca52dd64336ec7c59a54cb3cb168c9733efc9c81d9c0263c79387f2bf16d612e"
+    },
+    {
+      "bytes": 56175,
+      "path": "data/internal_test/pd4/mathlib-000568-0000-71cde3e9d5301b94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "71cde3e9d5301b947cecd1c404e9799a81c6d628ca8b9fec3556957ad9fd17c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000569.json b/manifests/batches/mathlib/000569.json
index eecbe664031e4b586b67341395bd6553284e8806..513d017f753bb04e9aa4f3a22ad5836048e07adc 100644
--- a/manifests/batches/mathlib/000569.json
+++ b/manifests/batches/mathlib/000569.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000569",
   "batch_fingerprint": "bebdbb2d83c7aab5af3023c0daf305a56662a524895e91fc6d7749c8c2648b83",
   "evidence": {
@@ -5352,29 +5351,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000569-0000-f7056836e1066a7e.parquet",
-      "sha256": "f7056836e1066a7ec46f797fd2f933e71a2d1a7aad768f4c94af98e9e71730c4",
-      "bytes": 148892,
-      "rows": 47,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000569-0000-f666d1aeeb65304a.parquet",
-      "sha256": "f666d1aeeb65304a5fa3bf00f800f4dec10fa65eb19c69e5a4e43b8a815fd315",
-      "bytes": 36165,
-      "rows": 1,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000569-0000-2f4d41dc9e5969f3.parquet",
-      "sha256": "2f4d41dc9e5969f365893ca531c77bf9778c050977b183ef533774ba27401227",
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-      "rows": 2,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:integrableOn_exp_Iic",
     "mathlib:integral_const_on_unit_interval",
@@ -5434,5 +5411,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Integrals.lean\",null,null,\"integral_zpow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Integrals.lean\",null,null,\"intervalIntegral.intervalIntegrable_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Integrals.lean\",null,null,\"intervalIntegral.intervalIntegrable_inv_one_add_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148892,
+      "path": "data/train/pab/mathlib-000569-0000-f7056836e1066a7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f7056836e1066a7ec46f797fd2f933e71a2d1a7aad768f4c94af98e9e71730c4"
+    },
+    {
+      "bytes": 36165,
+      "path": "data/dev/pab/mathlib-000569-0000-f666d1aeeb65304a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f666d1aeeb65304a5fa3bf00f800f4dec10fa65eb19c69e5a4e43b8a815fd315"
+    },
+    {
+      "bytes": 57874,
+      "path": "data/internal_test/pab/mathlib-000569-0000-2f4d41dc9e5969f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2f4d41dc9e5969f365893ca531c77bf9778c050977b183ef533774ba27401227"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000570.json b/manifests/batches/mathlib/000570.json
index 5c625d74f74ccd9c38c4e0c6035f0f90d0058155..8a7ad33be8f1e3399b014411a2b59f0dd21171ba 100644
--- a/manifests/batches/mathlib/000570.json
+++ b/manifests/batches/mathlib/000570.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000570",
   "batch_fingerprint": "9de931841f5735ff5c2d3fcc50d801cb5ed8cc49867fe8872bccbee2df06615f",
   "evidence": {
@@ -2037,29 +2036,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000570-0000-8416e275f408d948.parquet",
-      "sha256": "8416e275f408d94851805f4192f21a733c96198ff05963264028fbf6506ebfc8",
-      "bytes": 129697,
-      "rows": 63,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/mathlib-000570-0000-5bfe6f5fb58f8d38.parquet",
-      "sha256": "5bfe6f5fb58f8d385fa3fb0c2b4b006129649e36d5babaa3bf007464e877ec3d",
-      "bytes": 37376,
-      "rows": 3,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/mathlib-000570-0000-a6eff8efcce66218.parquet",
-      "sha256": "a6eff8efcce66218386d9be3a20b690c8bb9e65b770ef1b0829ff8229de5532d",
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-      "rows": 11,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.b_ne_one",
     "mathlib:Real.b_ne_one'",
@@ -2167,5 +2144,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/Base.lean\",null,null,\"Real.strictAntiOn_logb\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 129697,
+      "path": "data/train/p45/mathlib-000570-0000-8416e275f408d948.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "8416e275f408d94851805f4192f21a733c96198ff05963264028fbf6506ebfc8"
+    },
+    {
+      "bytes": 37376,
+      "path": "data/dev/p45/mathlib-000570-0000-5bfe6f5fb58f8d38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bfe6f5fb58f8d385fa3fb0c2b4b006129649e36d5babaa3bf007464e877ec3d"
+    },
+    {
+      "bytes": 45692,
+      "path": "data/internal_test/p45/mathlib-000570-0000-a6eff8efcce66218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a6eff8efcce66218386d9be3a20b690c8bb9e65b770ef1b0829ff8229de5532d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000571.json b/manifests/batches/mathlib/000571.json
index 53bbbb4992d2772083fdfa47f6ab4495f1fe55e0..051ad534816df9a079fd6dd38a1e92cd502dfd47 100644
--- a/manifests/batches/mathlib/000571.json
+++ b/manifests/batches/mathlib/000571.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000571",
   "batch_fingerprint": "547cfd403618a76c40d8da5dee45d7a0e3c7136e0a7fc7a08159e25c24416153",
   "evidence": {
@@ -3337,29 +3336,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000571-0000-22cfccdc0bfb59b7.parquet",
-      "sha256": "22cfccdc0bfb59b7cc15f915f957ac83128a0820f1a445f7d8353e9a79e240b1",
-      "bytes": 151174,
-      "rows": 61,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000571-0000-865be0209225d08b.parquet",
-      "sha256": "865be0209225d08b05f14d42b2223dc0c1038c45217a0f3739e4c534839df2e0",
-      "bytes": 42263,
-      "rows": 5,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000571-0000-117e79f9e07f6633.parquet",
-      "sha256": "117e79f9e07f663377f7d1ffde96814c7f38e2711a8e0432fd6bb4ad965a0a40",
-      "bytes": 37766,
-      "rows": 7,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasDerivAt.log",
     "mathlib:HasDerivWithinAt.log",
@@ -3443,5 +3420,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean\",null,null,\"Real.contDiffOn_log\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean\",null,null,\"Real.deriv_log\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean\",null,null,\"Real.hasStrictDerivAt_log_of_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151174,
+      "path": "data/train/p49/mathlib-000571-0000-22cfccdc0bfb59b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "22cfccdc0bfb59b7cc15f915f957ac83128a0820f1a445f7d8353e9a79e240b1"
+    },
+    {
+      "bytes": 42263,
+      "path": "data/dev/p49/mathlib-000571-0000-865be0209225d08b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "865be0209225d08b05f14d42b2223dc0c1038c45217a0f3739e4c534839df2e0"
+    },
+    {
+      "bytes": 37766,
+      "path": "data/internal_test/p49/mathlib-000571-0000-117e79f9e07f6633.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "117e79f9e07f663377f7d1ffde96814c7f38e2711a8e0432fd6bb4ad965a0a40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000572.json b/manifests/batches/mathlib/000572.json
index bf39b37b42966546d26ccdcf19c3a11ea3227d77..919b7bc93d165ff9a227822f57cc55da3984e1c2 100644
--- a/manifests/batches/mathlib/000572.json
+++ b/manifests/batches/mathlib/000572.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000572",
   "batch_fingerprint": "a753d9b54b621ff0e3a2da8f5bc8767d76ebd16d16df50ecae644be578d81c2e",
   "evidence": {
@@ -1498,22 +1497,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000572-0000-d9bb2caf18f296a7.parquet",
-      "sha256": "d9bb2caf18f296a7765f3169520747cf9c3568bc949e8cde9296a3ac094cc113",
-      "bytes": 38789,
-      "rows": 5,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000572-0000-f4ec746b571c27ca.parquet",
-      "sha256": "f4ec746b571c27cad625fcf3407f72090e370743ba3a025b877ef66aa49e958b",
-      "bytes": 43835,
-      "rows": 7,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.log_eq_iff",
     "mathlib:ENNReal.log_of_nnreal",
@@ -1533,5 +1517,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/ENNReal.lean\",null,null,\"ENNReal.log_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/ENNReal.lean\",null,null,\"ENNReal.log_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean\",null,null,\"Real.log_mul_self_monotoneOn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38789,
+      "path": "data/train/p81/mathlib-000572-0000-d9bb2caf18f296a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d9bb2caf18f296a7765f3169520747cf9c3568bc949e8cde9296a3ac094cc113"
+    },
+    {
+      "bytes": 43835,
+      "path": "data/internal_test/p81/mathlib-000572-0000-f4ec746b571c27ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f4ec746b571c27cad625fcf3407f72090e370743ba3a025b877ef66aa49e958b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000573.json b/manifests/batches/mathlib/000573.json
index d234eb9b00fd6cc2fd139a653b4f8eb347ff212c..15c9b708359d449a3f0834ef847800d9cc950994 100644
--- a/manifests/batches/mathlib/000573.json
+++ b/manifests/batches/mathlib/000573.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000573",
   "batch_fingerprint": "9056ee78937107e171f4c8e63cfa3713ca4333a48090fd190cbcdc891b98ab49",
   "evidence": {
@@ -1279,29 +1278,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000573-0000-3da801e0e0fcf689.parquet",
-      "sha256": "3da801e0e0fcf6899ac9a486cb31619f9f80224f40a89416dfa8d17ca8751e9c",
-      "bytes": 67007,
-      "rows": 16,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000573-0000-f381e213521bb62b.parquet",
-      "sha256": "f381e213521bb62bc8607fd42f0be52422b0be9d748109acf8bbd89849533116",
-      "bytes": 43244,
-      "rows": 1,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000573-0000-7b014123724281f0.parquet",
-      "sha256": "7b014123724281f01a743b19a4dad7e0b611dded3bbc7a7042296d4082143a95",
-      "bytes": 56875,
-      "rows": 8,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.continuous_negMulLog",
     "mathlib:Real.deriv2_negMulLog",
@@ -1331,5 +1308,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean\",null,null,\"intervalIntegrable_inv_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean\",null,null,\"not_IntegrableOn_Ioi_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean\",null,null,\"not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67007,
+      "path": "data/train/p70/mathlib-000573-0000-3da801e0e0fcf689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3da801e0e0fcf6899ac9a486cb31619f9f80224f40a89416dfa8d17ca8751e9c"
+    },
+    {
+      "bytes": 43244,
+      "path": "data/dev/p70/mathlib-000573-0000-f381e213521bb62b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f381e213521bb62bc8607fd42f0be52422b0be9d748109acf8bbd89849533116"
+    },
+    {
+      "bytes": 56875,
+      "path": "data/internal_test/p70/mathlib-000573-0000-7b014123724281f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7b014123724281f01a743b19a4dad7e0b611dded3bbc7a7042296d4082143a95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000574.json b/manifests/batches/mathlib/000574.json
index 0ccfc5223dfa236388d16deefe2f6b6f25d1f11b..5cd23daafd087159274b57fa12efe2f312df4cdb 100644
--- a/manifests/batches/mathlib/000574.json
+++ b/manifests/batches/mathlib/000574.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000574",
   "batch_fingerprint": "8ca1978d07182126d639d96c28e15b12b3371a1a22ee7bb258286947b7418fac",
   "evidence": {
@@ -419,15 +418,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000574-0000-6f1d165a500f88ee.parquet",
-      "sha256": "6f1d165a500f88eeafb90392981bbc700a1714f2d41c7564ec9fd2eff2916f1f",
-      "bytes": 97015,
-      "rows": 8,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.integral_comp_polarCoord_symm",
     "mathlib:Complex.polarCoord_apply",
@@ -441,5 +432,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/PolarCoord.lean\",null,null,\"Complex.polarCoord_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/PolarCoord.lean\",null,null,\"Complex.polardCoord_symm_abs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/PolarCoord.lean\",null,null,\"hasFDerivAt_polarCoord_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97015,
+      "path": "data/train/p90/mathlib-000574-0000-6f1d165a500f88ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6f1d165a500f88eeafb90392981bbc700a1714f2d41c7564ec9fd2eff2916f1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000575.json b/manifests/batches/mathlib/000575.json
index ebb3750c9d6f7a17d62505c01298b048bce3c318..cde1071aa801f8eb6ca17e4149787706e4d13639 100644
--- a/manifests/batches/mathlib/000575.json
+++ b/manifests/batches/mathlib/000575.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000575",
   "batch_fingerprint": "c2710f438c085c47746a7131373f465934b38fa16690b5cb186d65888ffd189e",
   "evidence": {
@@ -2333,29 +2332,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000575-0000-68c4a8ab0d125c6b.parquet",
-      "sha256": "68c4a8ab0d125c6bd8439014bb48539928e42cf1f368cb0f041967d44ab0294c",
-      "bytes": 135471,
-      "rows": 36,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000575-0000-53b31a8922fd9a09.parquet",
-      "sha256": "53b31a8922fd9a090b02fd9ae2a46ece39dd7a749a484ee9f6e246fcc8886981",
-      "bytes": 40840,
-      "rows": 3,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000575-0000-ce14651f34caa023.parquet",
-      "sha256": "ce14651f34caa023ab2f3391ad324c60d5e136c1be7e46de76ead92763ed198e",
-      "bytes": 44961,
-      "rows": 3,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsBigO.sqrt",
     "mathlib:Asymptotics.IsLittleO.rpow",
@@ -2397,5 +2374,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean\",null,null,\"tendsto_log_mul_rpow_nhds_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean\",null,null,\"tendsto_rpow_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean\",null,null,\"tendsto_rpow_neg_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135471,
+      "path": "data/train/p3a/mathlib-000575-0000-68c4a8ab0d125c6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "68c4a8ab0d125c6bd8439014bb48539928e42cf1f368cb0f041967d44ab0294c"
+    },
+    {
+      "bytes": 40840,
+      "path": "data/dev/p3a/mathlib-000575-0000-53b31a8922fd9a09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "53b31a8922fd9a090b02fd9ae2a46ece39dd7a749a484ee9f6e246fcc8886981"
+    },
+    {
+      "bytes": 44961,
+      "path": "data/internal_test/p3a/mathlib-000575-0000-ce14651f34caa023.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce14651f34caa023ab2f3391ad324c60d5e136c1be7e46de76ead92763ed198e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000576.json b/manifests/batches/mathlib/000576.json
index f720860ea626048f8372499014baef6d2ee27e83..87f85e1c54485cfa768dbefb46f8b0cddd60f540 100644
--- a/manifests/batches/mathlib/000576.json
+++ b/manifests/batches/mathlib/000576.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000576",
   "batch_fingerprint": "6dbbc935ab254017eb200b4cc254a79d4cdaa3f0e6857f4e09c211f78b653045",
   "evidence": {
@@ -2995,22 +2994,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000576-0000-1675088d42d4e438.parquet",
-      "sha256": "1675088d42d4e438673317d1c550db7a30b58a00fca84afb14fb92c49b9eccdf",
-      "bytes": 147843,
-      "rows": 50,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000576-0000-51dfbf83645b8711.parquet",
-      "sha256": "51dfbf83645b8711687ec5b9199d50aeb727299b10d634ec76edb0db39e83f10",
-      "bytes": 32026,
-      "rows": 1,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.conj_cpow",
     "mathlib:Complex.conj_cpow_eq_ite",
@@ -3070,5 +3054,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean\",null,null,\"Real.continuousAt_const_rpow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean\",null,null,\"Real.continuousAt_const_rpow'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean\",null,null,\"continuousAt_cpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147843,
+      "path": "data/train/pdb/mathlib-000576-0000-1675088d42d4e438.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "1675088d42d4e438673317d1c550db7a30b58a00fca84afb14fb92c49b9eccdf"
+    },
+    {
+      "bytes": 32026,
+      "path": "data/internal_test/pdb/mathlib-000576-0000-51dfbf83645b8711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "51dfbf83645b8711687ec5b9199d50aeb727299b10d634ec76edb0db39e83f10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000577.json b/manifests/batches/mathlib/000577.json
index b78f4c04f6576b3738ad6c9e97d8202b32df2b5e..31a63a48744b4a385da27a31d472d92f7148946c 100644
--- a/manifests/batches/mathlib/000577.json
+++ b/manifests/batches/mathlib/000577.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000577",
   "batch_fingerprint": "2ef55dac2e2bfeba503cae0b0822e8f16e6b6c379803ea0acd55f7e44f695667",
   "evidence": {
@@ -2361,29 +2360,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000577-0000-9a3c97330a43eeed.parquet",
-      "sha256": "9a3c97330a43eeed42d7a51c6885efe6341622ab445a732d2ee8aa61bc19e8fa",
-      "bytes": 230526,
-      "rows": 33,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000577-0000-f0cc2ddf3ec70239.parquet",
-      "sha256": "f0cc2ddf3ec7023914372abfb765dab777bf5ed20afc70f521c70fdce8c7d9b3",
-      "bytes": 47733,
-      "rows": 3,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000577-0000-60dca507832fd9b9.parquet",
-      "sha256": "60dca507832fd9b9ee6c407810f78b50a4f67499a97177963e3e80cd2e9cbe6e",
-      "bytes": 138251,
-      "rows": 11,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.hasStrictDerivAt_cpow_const",
     "mathlib:Complex.hasStrictFDerivAt_cpow",
@@ -2433,5 +2410,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean\",null,null,\"aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean\",null,null,\"tendsto_one_plus_div_pow_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Integral.lean\",null,null,\"MeasureTheory.lintegral_rpow_eq_lintegral_meas_lt_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230526,
+      "path": "data/train/p72/mathlib-000577-0000-9a3c97330a43eeed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "9a3c97330a43eeed42d7a51c6885efe6341622ab445a732d2ee8aa61bc19e8fa"
+    },
+    {
+      "bytes": 47733,
+      "path": "data/dev/p72/mathlib-000577-0000-f0cc2ddf3ec70239.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f0cc2ddf3ec7023914372abfb765dab777bf5ed20afc70f521c70fdce8c7d9b3"
+    },
+    {
+      "bytes": 138251,
+      "path": "data/internal_test/p72/mathlib-000577-0000-60dca507832fd9b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "60dca507832fd9b9ee6c407810f78b50a4f67499a97177963e3e80cd2e9cbe6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000578.json b/manifests/batches/mathlib/000578.json
index 49acd7619c8939396064de49822f5a685f2024a5..e4ee5fd378e26d20278ecf84a3217c47bd4c1c00 100644
--- a/manifests/batches/mathlib/000578.json
+++ b/manifests/batches/mathlib/000578.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000578",
   "batch_fingerprint": "a5ab8637d5464012674958bb79e33cd7396a2cd46d8a917c1c2561362b92d51a",
   "evidence": {
@@ -6777,29 +6776,7 @@
     "validation_rejected_proofs": 31,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000578-0000-55341c993477f1ec.parquet",
-      "sha256": "55341c993477f1ecdf839ee025f188afd175b3441df48dd1ccd99fd5bf9ddc0c",
-      "bytes": 497199,
-      "rows": 209,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000578-0000-2d111ab2bcb6e2ab.parquet",
-      "sha256": "2d111ab2bcb6e2ab91f2120a404c12de46775300dc963ed330f2eba16e91ce93",
-      "bytes": 45941,
-      "rows": 10,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000578-0000-b8c347645a915b8e.parquet",
-      "sha256": "b8c347645a915b8ec9a7242983980d3da9b7699898514878bf0ed88c5144f552",
-      "bytes": 75099,
-      "rows": 28,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.abs_cpow_eq_rpow_re_of_nonneg",
     "mathlib:Complex.abs_cpow_eq_rpow_re_of_pos",
@@ -7127,5 +7104,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Real.lean\",null,null,\"Real.zero_rpow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Real.lean\",null,null,\"Real.zero_rpow_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Pow/Real.lean\",null,null,\"Real.zero_rpow_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497199,
+      "path": "data/train/p74/mathlib-000578-0000-55341c993477f1ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 209,
+      "sha256": "55341c993477f1ecdf839ee025f188afd175b3441df48dd1ccd99fd5bf9ddc0c"
+    },
+    {
+      "bytes": 45941,
+      "path": "data/dev/p74/mathlib-000578-0000-2d111ab2bcb6e2ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2d111ab2bcb6e2ab91f2120a404c12de46775300dc963ed330f2eba16e91ce93"
+    },
+    {
+      "bytes": 75099,
+      "path": "data/internal_test/p74/mathlib-000578-0000-b8c347645a915b8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b8c347645a915b8ec9a7242983980d3da9b7699898514878bf0ed88c5144f552"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000579.json b/manifests/batches/mathlib/000579.json
index f5c70450be9fce09030564db16fc9d8991a1244c..4e9841409c6823fa0c13fa7ca2cc9f2427350a1f 100644
--- a/manifests/batches/mathlib/000579.json
+++ b/manifests/batches/mathlib/000579.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000579",
   "batch_fingerprint": "457961e00ee98bed6dbd3260f5d06f21abe2f7ac57d2ff4a0e7f83f50d09319f",
   "evidence": {
@@ -1243,15 +1242,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000579-0000-0a548054fcc9b7d9.parquet",
-      "sha256": "0a548054fcc9b7d91d4b32ca2e147288081f09741ab98667bba1e2726cb7820f",
-      "bytes": 45239,
-      "rows": 11,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.smoothTransition.one_of_one_le",
     "mathlib:Real.smoothTransition.zero_iff_nonpos",
@@ -1267,5 +1258,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/SmoothTransition.lean\",null,null,\"expNegInvGlue.pos_of_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/SmoothTransition.lean\",null,null,\"expNegInvGlue.tendsto_polynomial_inv_mul_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/SmoothTransition.lean\",null,null,\"expNegInvGlue.zero_of_nonpos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45239,
+      "path": "data/train/pa1/mathlib-000579-0000-0a548054fcc9b7d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0a548054fcc9b7d91d4b32ca2e147288081f09741ab98667bba1e2726cb7820f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000580.json b/manifests/batches/mathlib/000580.json
index 4afe49e7dcd71b85b3d7bfa6ea42c3f863fa2b6f..39408303076fb82d4da19f08456efb74ba35a135 100644
--- a/manifests/batches/mathlib/000580.json
+++ b/manifests/batches/mathlib/000580.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000580",
   "batch_fingerprint": "f757224ada5238d00db8fcd7e02607ce828390a610b7356481d129c40a3669a1",
   "evidence": {
@@ -3425,29 +3424,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000580-0000-8b77ffcdab19d881.parquet",
-      "sha256": "8b77ffcdab19d881fa33d80272296bdbb1194ccc008781a69227ce34fcf420a3",
-      "bytes": 339910,
-      "rows": 155,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/mathlib-000580-0000-597d2576faddd470.parquet",
-      "sha256": "597d2576faddd470162ed63654c9634b5ee40edbdeb1b573432fbf253b13e7a2",
-      "bytes": 41018,
-      "rows": 6,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/mathlib-000580-0000-7edf6a60217fdbeb.parquet",
-      "sha256": "7edf6a60217fdbeb56682436419ffc2885b00d662718822cf28253b31127f998",
-      "bytes": 70521,
-      "rows": 24,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousOn.angle_sign_comp",
     "mathlib:Real.Angle.abs_cos_eq_abs_sin_of_two_nsmul_add_two_nsmul_eq_pi",
@@ -3675,5 +3652,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean\",null,null,\"Real.Angle.two_zsmul_toReal_eq_two_mul\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean\",null,null,\"Real.Angle.two_zsmul_toReal_eq_two_mul_sub_two_pi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339910,
+      "path": "data/train/p46/mathlib-000580-0000-8b77ffcdab19d881.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 155,
+      "sha256": "8b77ffcdab19d881fa33d80272296bdbb1194ccc008781a69227ce34fcf420a3"
+    },
+    {
+      "bytes": 41018,
+      "path": "data/dev/p46/mathlib-000580-0000-597d2576faddd470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "597d2576faddd470162ed63654c9634b5ee40edbdeb1b573432fbf253b13e7a2"
+    },
+    {
+      "bytes": 70521,
+      "path": "data/internal_test/p46/mathlib-000580-0000-7edf6a60217fdbeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7edf6a60217fdbeb56682436419ffc2885b00d662718822cf28253b31127f998"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000581.json b/manifests/batches/mathlib/000581.json
index 4f7f0b19281ba73cd1f60ba1bc23031f61b0cc93..d06908bf8f04120bfe1070a011ab3cf18c241dc0 100644
--- a/manifests/batches/mathlib/000581.json
+++ b/manifests/batches/mathlib/000581.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000581",
   "batch_fingerprint": "6049d100cd97717450ef566931994faaec3b201670ec1a4d5fd7774e30a07560",
   "evidence": {
@@ -2410,22 +2409,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000581-0000-e68abd32478f16c5.parquet",
-      "sha256": "e68abd32478f16c596c6f08ec1be7528676454d3a82c35ae7b87f96888b8fb6e",
-      "bytes": 69661,
-      "rows": 26,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000581-0000-29661e5cc792d1cd.parquet",
-      "sha256": "29661e5cc792d1cda1970834779c87aad4461e9be6543e7e02a49e6f90d3a60a",
-      "bytes": 28415,
-      "rows": 2,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.arcsin_eq_arctan",
     "mathlib:Real.arctan_eq_of_tan_eq",
@@ -2469,5 +2453,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean\",null,null,\"Real.hasDerivAt_tan\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean\",null,null,\"Real.hasStrictDerivAt_tan\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean\",null,null,\"Real.tendsto_abs_tan_of_cos_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69661,
+      "path": "data/train/pbb/mathlib-000581-0000-e68abd32478f16c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e68abd32478f16c596c6f08ec1be7528676454d3a82c35ae7b87f96888b8fb6e"
+    },
+    {
+      "bytes": 28415,
+      "path": "data/internal_test/pbb/mathlib-000581-0000-29661e5cc792d1cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29661e5cc792d1cda1970834779c87aad4461e9be6543e7e02a49e6f90d3a60a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000582.json b/manifests/batches/mathlib/000582.json
index a1d4f5f5a5ab159a4861f6ce0ac38bd7bb79c949..90fb6e9fdbae77350b9bc90223111028309928b8 100644
--- a/manifests/batches/mathlib/000582.json
+++ b/manifests/batches/mathlib/000582.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000582",
   "batch_fingerprint": "1474ade04219c338cb9b0d19e66cae04c01bdc812babd2c094ca03310cefb7d8",
   "evidence": {
@@ -6878,29 +6877,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000582-0000-cf5edcbe141594ea.parquet",
-      "sha256": "cf5edcbe141594ea08c160d837854926f75b42b7f7d8f48107b5219255811e9f",
-      "bytes": 224770,
-      "rows": 97,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/mathlib-000582-0000-85220d7c54b16b53.parquet",
-      "sha256": "85220d7c54b16b53a953b7ce3893992b65e29a8223ebdbf43b92eb4e86531c11",
-      "bytes": 26590,
-      "rows": 1,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000582-0000-039128a8346323c5.parquet",
-      "sha256": "039128a8346323c51534cd0b43c450f13b0a9588e72ace46cb0dccd3d9f6eb81",
-      "bytes": 53457,
-      "rows": 12,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.continuous_cos",
     "mathlib:Complex.continuous_cosh",
@@ -7070,5 +7047,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean\",null,null,\"Real.le_sin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean\",null,null,\"Real.lt_sin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean\",null,null,\"Real.sin_le_two_div_pi_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224770,
+      "path": "data/train/p72/mathlib-000582-0000-cf5edcbe141594ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "cf5edcbe141594ea08c160d837854926f75b42b7f7d8f48107b5219255811e9f"
+    },
+    {
+      "bytes": 26590,
+      "path": "data/dev/p72/mathlib-000582-0000-85220d7c54b16b53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "85220d7c54b16b53a953b7ce3893992b65e29a8223ebdbf43b92eb4e86531c11"
+    },
+    {
+      "bytes": 53457,
+      "path": "data/internal_test/p72/mathlib-000582-0000-039128a8346323c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "039128a8346323c51534cd0b43c450f13b0a9588e72ace46cb0dccd3d9f6eb81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000583.json b/manifests/batches/mathlib/000583.json
index 1ecd5117ba9dccb4d866d246b22b4b8cd410808a..9db14c05487d92e4cfee0d718c1538592319ecd8 100644
--- a/manifests/batches/mathlib/000583.json
+++ b/manifests/batches/mathlib/000583.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000583",
   "batch_fingerprint": "a3a51805036d96f21f65367b6922f14c366e9d1ab9890822a00984603cd2e227",
   "evidence": {
@@ -1251,22 +1250,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000583-0000-26eefbe1725555c7.parquet",
-      "sha256": "26eefbe1725555c7fd4b8d07dcc4626f3b7afd9b476dc8c715c18f65125b8f69",
-      "bytes": 72151,
-      "rows": 29,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000583-0000-473d801efaa19485.parquet",
-      "sha256": "473d801efaa1948549a4ce7cc40491e6a11020f2f3813d3e8ec7b01f696896ec",
-      "bytes": 37514,
-      "rows": 3,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.cos_eq_neg_one_iff",
     "mathlib:Complex.cos_eq_one_iff",
@@ -1312,5 +1296,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean\",null,null,\"Real.le_sin_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean\",null,null,\"Real.lt_sin_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean\",null,null,\"Real.tan_eq_zero_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72151,
+      "path": "data/train/p01/mathlib-000583-0000-26eefbe1725555c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "26eefbe1725555c7fd4b8d07dcc4626f3b7afd9b476dc8c715c18f65125b8f69"
+    },
+    {
+      "bytes": 37514,
+      "path": "data/internal_test/p01/mathlib-000583-0000-473d801efaa19485.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "473d801efaa1948549a4ce7cc40491e6a11020f2f3813d3e8ec7b01f696896ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000584.json b/manifests/batches/mathlib/000584.json
index 3c99cb147c3bf13131966368b1c2da94faed2693..36e94f19db3fb51841e89dbe96bb720897fcc097 100644
--- a/manifests/batches/mathlib/000584.json
+++ b/manifests/batches/mathlib/000584.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000584",
   "batch_fingerprint": "90aa2beb8bed68c493d42f07b35c83bcac988f73b9746d17a57fe32743d744a9",
   "evidence": {
@@ -4427,22 +4426,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000584-0000-68ce17ab5cdc6d0c.parquet",
-      "sha256": "68ce17ab5cdc6d0ce087b1bdc4c06b85a9f82938b75a3897a20794aa3434e471",
-      "bytes": 80132,
-      "rows": 26,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000584-0000-1fd09ab09aa12601.parquet",
-      "sha256": "1fd09ab09aa12601427f3b7a3b54b44cb9c957c11173b020fb91f2640f7b692b",
-      "bytes": 51331,
-      "rows": 9,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.continuousAt_tan",
     "mathlib:Complex.deriv_tan",
@@ -4484,5 +4468,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean\",null,null,\"Real.sinh_nonpos_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean\",null,null,\"Real.sinh_pos_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean\",null,null,\"Real.sinh_strictMono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80132,
+      "path": "data/train/p0a/mathlib-000584-0000-68ce17ab5cdc6d0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "68ce17ab5cdc6d0ce087b1bdc4c06b85a9f82938b75a3897a20794aa3434e471"
+    },
+    {
+      "bytes": 51331,
+      "path": "data/internal_test/p0a/mathlib-000584-0000-1fd09ab09aa12601.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1fd09ab09aa12601427f3b7a3b54b44cb9c957c11173b020fb91f2640f7b692b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000585.json b/manifests/batches/mathlib/000585.json
index 573e2a217508d84a1b533065f85d979c8ae4faaa..b1ccb6abd4a7d6e64843794ed50c0b13ad1a6f30 100644
--- a/manifests/batches/mathlib/000585.json
+++ b/manifests/batches/mathlib/000585.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000585",
   "batch_fingerprint": "2c2edaa78d9c208a70869d2d1d5471e826a58976e44a34b9a4c27fa2ce43b20d",
   "evidence": {
@@ -3037,29 +3036,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000585-0000-bab643f55012d1bf.parquet",
-      "sha256": "bab643f55012d1bfa8122dc083f0b484a833bdd462bbaa56e43b618d7cae9173",
-      "bytes": 112505,
-      "rows": 43,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/mathlib-000585-0000-58ac2b23d3b16e4c.parquet",
-      "sha256": "58ac2b23d3b16e4c6e68755bd1c2d6dc50611e65a530a09c9432f89653763191",
-      "bytes": 40060,
-      "rows": 2,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000585-0000-1c8f8652fa970519.parquet",
-      "sha256": "1c8f8652fa970519935af2ec2aacfb610993b10d7c403b2b43982519e2e8e2d0",
-      "bytes": 61920,
-      "rows": 11,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EulerSine.antideriv_cos_comp_const_mul",
     "mathlib:EulerSine.antideriv_sin_comp_const_mul",
@@ -3143,5 +3120,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean\",null,null,\"Real.range_arcsin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean\",null,null,\"Real.sin_arcsin'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean\",null,null,\"Real.tan_arccos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112505,
+      "path": "data/train/p3b/mathlib-000585-0000-bab643f55012d1bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "bab643f55012d1bfa8122dc083f0b484a833bdd462bbaa56e43b618d7cae9173"
+    },
+    {
+      "bytes": 40060,
+      "path": "data/dev/p3b/mathlib-000585-0000-58ac2b23d3b16e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "58ac2b23d3b16e4c6e68755bd1c2d6dc50611e65a530a09c9432f89653763191"
+    },
+    {
+      "bytes": 61920,
+      "path": "data/internal_test/p3b/mathlib-000585-0000-1c8f8652fa970519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1c8f8652fa970519935af2ec2aacfb610993b10d7c403b2b43982519e2e8e2d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000586.json b/manifests/batches/mathlib/000586.json
index 5caf6dd9e1792793655672bbf29baa65af57d359..6d5207db419de52f16f1a1509e10803a5f96386a 100644
--- a/manifests/batches/mathlib/000586.json
+++ b/manifests/batches/mathlib/000586.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000586",
   "batch_fingerprint": "118b4a3df49de9da372f703f3470f5a94ee1e0d71a99d007a3a395fe3f917638",
   "evidence": {
@@ -1171,22 +1170,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000586-0000-8003475e7c66dc42.parquet",
-      "sha256": "8003475e7c66dc42a493841fb82438ac57eecb0caa36789c1ede5ccb00e63763",
-      "bytes": 141780,
-      "rows": 33,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/mathlib-000586-0000-6b91c77b0a605ce4.parquet",
-      "sha256": "6b91c77b0a605ce4f6ab03f5397b1edcb09f5db5a3a7f2af30656452f747647c",
-      "bytes": 31794,
-      "rows": 1,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.hasSum_cos",
     "mathlib:Complex.hasSum_cos'",
@@ -1208,5 +1192,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean\",null,null,\"Complex.hasSum_sin'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean\",null,null,\"Complex.hasSum_sinh\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean\",null,null,\"Real.cosh_le_exp_half_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141780,
+      "path": "data/train/pe6/mathlib-000586-0000-8003475e7c66dc42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "8003475e7c66dc42a493841fb82438ac57eecb0caa36789c1ede5ccb00e63763"
+    },
+    {
+      "bytes": 31794,
+      "path": "data/dev/pe6/mathlib-000586-0000-6b91c77b0a605ce4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6b91c77b0a605ce4f6ab03f5397b1edcb09f5db5a3a7f2af30656452f747647c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000587.json b/manifests/batches/mathlib/000587.json
index d043227df128f5733bc2580233c5ef88fcc5eff9..0b8665332b07b94ab6f245b849c098826e009ba2 100644
--- a/manifests/batches/mathlib/000587.json
+++ b/manifests/batches/mathlib/000587.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000587",
   "batch_fingerprint": "45e318a46fc2ee7a97c07c66c178074a591321450c676f50c10aed3c222e40dc",
   "evidence": {
@@ -3931,29 +3930,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000587-0000-0d9fcc327683aa65.parquet",
-      "sha256": "0d9fcc327683aa65ba606ec03d07a6cab93cbea850fa0944a9c53ba2449683e0",
-      "bytes": 172594,
-      "rows": 58,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/mathlib-000587-0000-8a85a754285492a3.parquet",
-      "sha256": "8a85a754285492a3dd302291c3fcc56ad10896c7988f003972fbf1580c71a7ab",
-      "bytes": 71518,
-      "rows": 10,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000587-0000-04e2475934925474.parquet",
-      "sha256": "04e24759349254749bb73f81a6a5e287a7421e3f54ddbaa781ab59a8b7d72aa4",
-      "bytes": 44422,
-      "rows": 5,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.exists_pos_sum_of_countable",
     "mathlib:ENNReal.exists_pos_tsum_mul_lt_of_countable",
@@ -4019,5 +3996,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/Basic.lean\",null,null,\"tendsto_nat_floor_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/Basic.lean\",null,null,\"tendsto_nat_floor_div_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/Basic.lean\",null,null,\"tendsto_one_div_add_atTop_nhds_zero_nat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172594,
+      "path": "data/train/pa2/mathlib-000587-0000-0d9fcc327683aa65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "0d9fcc327683aa65ba606ec03d07a6cab93cbea850fa0944a9c53ba2449683e0"
+    },
+    {
+      "bytes": 71518,
+      "path": "data/dev/pa2/mathlib-000587-0000-8a85a754285492a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8a85a754285492a3dd302291c3fcc56ad10896c7988f003972fbf1580c71a7ab"
+    },
+    {
+      "bytes": 44422,
+      "path": "data/internal_test/pa2/mathlib-000587-0000-04e2475934925474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "04e24759349254749bb73f81a6a5e287a7421e3f54ddbaa781ab59a8b7d72aa4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000588.json b/manifests/batches/mathlib/000588.json
index f8e18cf80c4516ce0d433f7b23d8aa66d3caba50..26c725d6791a68a362cd947e19ea6a4d8e3084d8 100644
--- a/manifests/batches/mathlib/000588.json
+++ b/manifests/batches/mathlib/000588.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000588",
   "batch_fingerprint": "907b95ad1947469a01836d545649823ad96ed49948839a66daf290664a24f2c8",
   "evidence": {
@@ -2802,22 +2801,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000588-0000-e860b26f78d10706.parquet",
-      "sha256": "e860b26f78d1070615035f00b530c29faf5eee7e9aeaad01acabd77b7ddf3cac",
-      "bytes": 185963,
-      "rows": 54,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000588-0000-f2a03e635062cad8.parquet",
-      "sha256": "f2a03e635062cad869ec287cb5e24cdbf637b453c90cd8f2d50e02027bfcf56d",
-      "bytes": 61218,
-      "rows": 6,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antitone.cauchySeq_alternating_series_of_tendsto_zero",
     "mathlib:NormedField.continuousAt_inv",
@@ -2871,5 +2855,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/Normed.lean\",null,null,\"tendsto_self_mul_const_pow_of_abs_lt_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/Normed.lean\",null,null,\"tendsto_self_mul_const_pow_of_lt_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SpecificLimits/RCLike.lean\",null,null,\"RCLike.tendsto_inverse_atTop_nhds_zero_nat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185963,
+      "path": "data/train/pa3/mathlib-000588-0000-e860b26f78d10706.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "e860b26f78d1070615035f00b530c29faf5eee7e9aeaad01acabd77b7ddf3cac"
+    },
+    {
+      "bytes": 61218,
+      "path": "data/internal_test/pa3/mathlib-000588-0000-f2a03e635062cad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f2a03e635062cad869ec287cb5e24cdbf637b453c90cd8f2d50e02027bfcf56d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000589.json b/manifests/batches/mathlib/000589.json
index b1cad40aa8a0d593a345fb2216386e0014e79293..664220ed99a1a34608f7d02308fd3b756c90ba5e 100644
--- a/manifests/batches/mathlib/000589.json
+++ b/manifests/batches/mathlib/000589.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000589",
   "batch_fingerprint": "0cbb0beb99f47896c8af207fae83306166a569adbca80c93b0b98b539213a090",
   "evidence": {
@@ -854,22 +853,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000589-0000-b81ad973c3b71934.parquet",
-      "sha256": "b81ad973c3b71934aff8847195854610f97e3bd4a592a0335ee6416d8196f358",
-      "bytes": 57005,
-      "rows": 6,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/mathlib-000589-0000-66a4876c09e66131.parquet",
-      "sha256": "66a4876c09e661318cf485ab9b85f138e667392ffe7a90d1674f79e21a76e437",
-      "bytes": 44524,
-      "rows": 2,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonotoneOn.integral_le_sum",
     "mathlib:MonotoneOn.sum_le_integral",
@@ -881,5 +865,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SumIntegralComparisons.lean\",null,null,\"MonotoneOn.integral_le_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SumIntegralComparisons.lean\",null,null,\"MonotoneOn.sum_le_integral\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/SumIntegralComparisons.lean\",null,null,\"MonotoneOn.sum_le_integral_Ico\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57005,
+      "path": "data/train/p5a/mathlib-000589-0000-b81ad973c3b71934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b81ad973c3b71934aff8847195854610f97e3bd4a592a0335ee6416d8196f358"
+    },
+    {
+      "bytes": 44524,
+      "path": "data/dev/p5a/mathlib-000589-0000-66a4876c09e66131.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66a4876c09e661318cf485ab9b85f138e667392ffe7a90d1674f79e21a76e437"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000590.json b/manifests/batches/mathlib/000590.json
index f6e037f33a352239030ca3382fa6abdb62bbc075..08dca9239d17d6e64ae8327df047f477b84599e9 100644
--- a/manifests/batches/mathlib/000590.json
+++ b/manifests/batches/mathlib/000590.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000590",
   "batch_fingerprint": "434a5ab23df6cd62ed4c015176594b62710c9c1b1fb6441ee855b2db52cd1821",
   "evidence": {
@@ -232,15 +231,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000590-0000-23696d1176e3c98d.parquet",
-      "sha256": "23696d1176e3c98dfc8b46bc93e96a0aa85b4523c6e2f0485674d5ddaba710b9",
-      "bytes": 76011,
-      "rows": 19,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.sum_indicator_mod",
     "mathlib:VonNeumannAlgebra.coe_commutant",
@@ -256,5 +247,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/VonNeumannAlgebra/Basic.lean\",null,null,\"VonNeumannAlgebra.coe_commutant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/VonNeumannAlgebra/Basic.lean\",null,null,\"VonNeumannAlgebra.commutant_commutant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Analysis/VonNeumannAlgebra/Basic.lean\",null,null,\"VonNeumannAlgebra.mem_commutant_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76011,
+      "path": "data/train/p3f/mathlib-000590-0000-23696d1176e3c98d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "23696d1176e3c98dfc8b46bc93e96a0aa85b4523c6e2f0485674d5ddaba710b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000591.json b/manifests/batches/mathlib/000591.json
index e5730133adb36b48f6f5c437b0156535443f7684..cd1fa967a32191be23bed74326943c7fb479b6f5 100644
--- a/manifests/batches/mathlib/000591.json
+++ b/manifests/batches/mathlib/000591.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000591",
   "batch_fingerprint": "4a89a6ae3d5c72f23b72e25e3d1079819f270040cfa69fb50e2ac7bb25054b31",
   "evidence": {
@@ -1651,7 +1650,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000592.json b/manifests/batches/mathlib/000592.json
index 7f8c7619b2c9da35fabd34e11e163183b17c12fe..e2ed7bbffff8949ce63cff90a5348387de02ecf3 100644
--- a/manifests/batches/mathlib/000592.json
+++ b/manifests/batches/mathlib/000592.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000592",
   "batch_fingerprint": "349dc2c5bcc994fdc934cf4971827ff28878acf9df3c07e65691541ab41d262d",
   "evidence": {
@@ -1184,29 +1183,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000592-0000-6f3c0be7080974c0.parquet",
-      "sha256": "6f3c0be7080974c0aee6c7de6d597b88b0815f737e44672cba438941031de64a",
-      "bytes": 113414,
-      "rows": 25,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/dev/mathlib-000592-0000-3897aa02dcb25985.parquet",
-      "sha256": "3897aa02dcb25985b6a3ec11565dcc381624d8009d7e6b040ebebaa6b2f70097",
-      "bytes": 56189,
-      "rows": 5,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/internal_test/mathlib-000592-0000-4606767ef7ca2074.parquet",
-      "sha256": "4606767ef7ca20742477c0616deef13b922dcd1c535da0be3ca97798a46a8ca4",
-      "bytes": 60098,
-      "rows": 4,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Abelian.Exact.op_iff",
     "mathlib:CategoryTheory.Abelian.Exact.unop",
@@ -1236,5 +1213,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Exact.lean\",null,null,\"CategoryTheory.Functor.preservesEpimorphisms_of_map_exact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Exact.lean\",null,null,\"CategoryTheory.Functor.preservesMonomorphisms_of_map_exact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Exact.lean\",null,null,\"CategoryTheory.Functor.preservesZeroMorphisms_of_map_exact\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113414,
+      "path": "data/train/p87/mathlib-000592-0000-6f3c0be7080974c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "6f3c0be7080974c0aee6c7de6d597b88b0815f737e44672cba438941031de64a"
+    },
+    {
+      "bytes": 56189,
+      "path": "data/dev/p87/mathlib-000592-0000-3897aa02dcb25985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3897aa02dcb25985b6a3ec11565dcc381624d8009d7e6b040ebebaa6b2f70097"
+    },
+    {
+      "bytes": 60098,
+      "path": "data/internal_test/p87/mathlib-000592-0000-4606767ef7ca2074.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4606767ef7ca20742477c0616deef13b922dcd1c535da0be3ca97798a46a8ca4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000593.json b/manifests/batches/mathlib/000593.json
index 9bfd24342c3caf0a50a522b50fe06c7326e33ac4..1cade75fd3551670809a079c479598d396621420 100644
--- a/manifests/batches/mathlib/000593.json
+++ b/manifests/batches/mathlib/000593.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000593",
   "batch_fingerprint": "b90294920004ce3c877892677187f73224631cb5efa925986c6a781e2d56f4fe",
   "evidence": {
@@ -122,15 +121,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000593-0000-8971940dd056aead.parquet",
-      "sha256": "8971940dd056aead02250da64613a7b724b99c2175d7d4f0a7cae3272507bd63",
-      "bytes": 118379,
-      "rows": 8,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app",
     "mathlib:CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'"
@@ -138,5 +129,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/FunctorCategory.lean\",null,null,\"CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/FunctorCategory.lean\",null,null,\"CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118379,
+      "path": "data/train/pbb/mathlib-000593-0000-8971940dd056aead.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8971940dd056aead02250da64613a7b724b99c2175d7d4f0a7cae3272507bd63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000594.json b/manifests/batches/mathlib/000594.json
index 2d7cac61e3b8b9a5f9d3479311da687e35261ece..e15f71eb2be9995a3fabe5035399d1f48e10ba37 100644
--- a/manifests/batches/mathlib/000594.json
+++ b/manifests/batches/mathlib/000594.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000594",
   "batch_fingerprint": "d258910f769c796194e59b97f3ff698c86931a38c078ead7096f904772b0c667",
   "evidence": {
@@ -1218,19 +1217,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-000594-0000-7c726ad2eb7e5f90.parquet",
-      "sha256": "7c726ad2eb7e5f907c9e12506bfbc8b75ead861940719d07a2a36cffe64c15c0",
-      "bytes": 52716,
-      "rows": 2,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Abelian.has_projective_separator"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Generator.lean\",null,null,\"CategoryTheory.Abelian.has_projective_separator\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52716,
+      "path": "data/internal_test/pd6/mathlib-000594-0000-7c726ad2eb7e5f90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7c726ad2eb7e5f907c9e12506bfbc8b75ead861940719d07a2a36cffe64c15c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000595.json b/manifests/batches/mathlib/000595.json
index f7aee4403c5578dfe7530b74996facc07e963016..5877bcd09676fde6b70bf5491d1715250c7393e3 100644
--- a/manifests/batches/mathlib/000595.json
+++ b/manifests/batches/mathlib/000595.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000595",
   "batch_fingerprint": "1d9ea488e3a39634c41c4b658b5fb37d9a818d53ecd0ba5dc228087bdd58520f",
   "evidence": {
@@ -62,15 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000595-0000-c60c20b43af75553.parquet",
-      "sha256": "c60c20b43af755538ba622bb4c5ff744dff4be9f01e902ee75e88fa762e1813b",
-      "bytes": 49493,
-      "rows": 5,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'",
     "mathlib:CategoryTheory.Abelian.coimage_image_factorisation",
@@ -80,5 +71,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Images.lean\",null,null,\"CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Images.lean\",null,null,\"CategoryTheory.Abelian.coimage_image_factorisation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Injective.lean\",null,null,\"CategoryTheory.injective_of_preservesFiniteColimits_preadditiveYonedaObj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49493,
+      "path": "data/train/pad/mathlib-000595-0000-c60c20b43af75553.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c60c20b43af755538ba622bb4c5ff744dff4be9f01e902ee75e88fa762e1813b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000596.json b/manifests/batches/mathlib/000596.json
index 8b5a0d8f4bbecf778c0db28044e81ce8eae9fe17..2de5f0efcc8c03903b0115706d1d645114ece378 100644
--- a/manifests/batches/mathlib/000596.json
+++ b/manifests/batches/mathlib/000596.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000596",
   "batch_fingerprint": "837ef8d9f6b997505c08c1cc779ebaf19af0d5c354fec21dbfcf9f66f252b372",
   "evidence": {
@@ -892,29 +891,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000596-0000-ac866c7ed66a7c7f.parquet",
-      "sha256": "ac866c7ed66a7c7fae99856d8bd7e76c854def2cdb802b5f43ddc12e8ffd152c",
-      "bytes": 473130,
-      "rows": 23,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/train/mathlib-000596-0001-fd4ceb6bbb6d289c.parquet",
-      "sha256": "fd4ceb6bbb6d289cf4533783d80086325e7117e6385721bfa6806ffae113627c",
-      "bytes": 202122,
-      "rows": 7,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/mathlib-000596-0000-b68c3d432ee3609f.parquet",
-      "sha256": "b68c3d432ee3609fa9e5725de6aebcef2da32734faf574a30a54bf5320753fc9",
-      "bytes": 92854,
-      "rows": 2,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.leftDerived_map_eq",
     "mathlib:CategoryTheory.NatTrans.leftDerived_comp",
@@ -940,5 +917,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/LeftDerived.lean\",null,null,\"CategoryTheory.ProjectiveResolution.leftDerivedToHomotopyCategory_app_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/LeftDerived.lean\",null,null,\"CategoryTheory.ProjectiveResolution.leftDerived_app_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/LeftDerived.lean\",null,null,\"CategoryTheory.ProjectiveResolution.pOpcycles_comp_fromLeftDerivedZero'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473130,
+      "path": "data/train/p40/mathlib-000596-0000-ac866c7ed66a7c7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ac866c7ed66a7c7fae99856d8bd7e76c854def2cdb802b5f43ddc12e8ffd152c"
+    },
+    {
+      "bytes": 202122,
+      "path": "data/train/p40/mathlib-000596-0001-fd4ceb6bbb6d289c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fd4ceb6bbb6d289cf4533783d80086325e7117e6385721bfa6806ffae113627c"
+    },
+    {
+      "bytes": 92854,
+      "path": "data/dev/p40/mathlib-000596-0000-b68c3d432ee3609f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b68c3d432ee3609fa9e5725de6aebcef2da32734faf574a30a54bf5320753fc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000597.json b/manifests/batches/mathlib/000597.json
index dfa42ca0c9219ff15322e2bbc036948dfd25b6ed..1e8bd7b13f34453537296653226cd4b089c4ab21 100644
--- a/manifests/batches/mathlib/000597.json
+++ b/manifests/batches/mathlib/000597.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000597",
   "batch_fingerprint": "8b6d631dd5da55e015d1bb9f3cd45deb65ef41e40df808b7e5804651900b9b00",
   "evidence": {
@@ -979,15 +978,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000597-0000-f79e513d0e9a4413.parquet",
-      "sha256": "f79e513d0e9a4413c24ca85f1c20474b8840c807eac225f4032a5f3f6bfdb895",
-      "bytes": 81197,
-      "rows": 10,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.cokernel.\u03c0_op",
     "mathlib:CategoryTheory.cokernel.\u03c0_unop",
@@ -1005,5 +996,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Opposite.lean\",null,null,\"CategoryTheory.image_\u03b9_op_comp_imageUnopOp_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Opposite.lean\",null,null,\"CategoryTheory.kernel.\u03b9_op\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Opposite.lean\",null,null,\"CategoryTheory.kernel.\u03b9_unop\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81197,
+      "path": "data/train/p0e/mathlib-000597-0000-f79e513d0e9a4413.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f79e513d0e9a4413c24ca85f1c20474b8840c807eac225f4032a5f3f6bfdb895"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000598.json b/manifests/batches/mathlib/000598.json
index c85d93bd55e8a7e5199e9b989b743cc992048cde..d719901a5168cc82b7a272ec5063911e7a6f0be8 100644
--- a/manifests/batches/mathlib/000598.json
+++ b/manifests/batches/mathlib/000598.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000598",
   "batch_fingerprint": "3262ff5811d98f1406445ad8437ec9098f948d83db3e93bc08e306d86dee06bd",
   "evidence": {
@@ -637,19 +636,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000598-0000-446e754650425479.parquet",
-      "sha256": "446e754650425479bd222fc7e6fd0bff58ce2c4d8c8e6165030ad6c02e141043",
-      "bytes": 50849,
-      "rows": 3,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.projective_of_preservesFiniteColimits_preadditiveCoyonedaObj"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Projective.lean\",null,null,\"CategoryTheory.projective_of_preservesFiniteColimits_preadditiveCoyonedaObj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50849,
+      "path": "data/train/p59/mathlib-000598-0000-446e754650425479.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "446e754650425479bd222fc7e6fd0bff58ce2c4d8c8e6165030ad6c02e141043"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000599.json b/manifests/batches/mathlib/000599.json
index 495f08231cb533801f1fc6f30975a0b44d484fd8..66f5e6723f1c3012853344a2c20a6f3f10e50138 100644
--- a/manifests/batches/mathlib/000599.json
+++ b/manifests/batches/mathlib/000599.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000599",
   "batch_fingerprint": "91cdace557842a51b2f8f366aa57190d87ed2470d91253062bb6d5974273e3f6",
   "evidence": {
@@ -1412,29 +1411,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000599-0000-a0e872269265032a.parquet",
-      "sha256": "a0e872269265032a9987c31719602d4371144794738dceccf75264674be22c91",
-      "bytes": 81479,
-      "rows": 15,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/dev/mathlib-000599-0000-ebe524901db6a67e.parquet",
-      "sha256": "ebe524901db6a67ea607222c82fc1c67aeac1d9a54fbbd03f7726a37efa2921a",
-      "bytes": 38062,
-      "rows": 3,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/internal_test/mathlib-000599-0000-fe25f8371e8325ff.parquet",
-      "sha256": "fe25f8371e8325ff1e687e28289e9e1ddac1b597c065be56c5fb1c0c977bee9d",
-      "bytes": 44376,
-      "rows": 2,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Abelian.Pseudoelement.apply_eq_zero_of_comp_eq_zero",
     "mathlib:CategoryTheory.Abelian.Pseudoelement.apply_zero",
@@ -1462,5 +1439,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Pseudoelements.lean\",null,null,\"CategoryTheory.Abelian.pseudoEqual_refl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Pseudoelements.lean\",null,null,\"CategoryTheory.Abelian.pseudoEqual_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Refinements.lean\",null,null,\"CategoryTheory.ShortComplex.Exact.exact_up_to_refinements\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81479,
+      "path": "data/train/p97/mathlib-000599-0000-a0e872269265032a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a0e872269265032a9987c31719602d4371144794738dceccf75264674be22c91"
+    },
+    {
+      "bytes": 38062,
+      "path": "data/dev/p97/mathlib-000599-0000-ebe524901db6a67e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ebe524901db6a67ea607222c82fc1c67aeac1d9a54fbbd03f7726a37efa2921a"
+    },
+    {
+      "bytes": 44376,
+      "path": "data/internal_test/p97/mathlib-000599-0000-fe25f8371e8325ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fe25f8371e8325ff1e687e28289e9e1ddac1b597c065be56c5fb1c0c977bee9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000600.json b/manifests/batches/mathlib/000600.json
index 1370065b961a8f505e3f7758c71e316e82a4bedf..897020559f2c245ba36c51311c74a6b6365d6809 100644
--- a/manifests/batches/mathlib/000600.json
+++ b/manifests/batches/mathlib/000600.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000600",
   "batch_fingerprint": "5af586a7a61db0115001c6bbb7e8650239210de90b0e8438c9fefd53b3e4bedd",
   "evidence": {
@@ -445,22 +444,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000600-0000-ae3f5e1ce7077ea4.parquet",
-      "sha256": "ae3f5e1ce7077ea498f894cb5a242f848b30a0f473d3194ee9aaeab1935c12d1",
-      "bytes": 459150,
-      "rows": 20,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/train/mathlib-000600-0001-0d82a7d05a85ebc9.parquet",
-      "sha256": "0d82a7d05a85ebc9dbaffab084336cc409e1127a1dcf4c380f027dc11e4d7821",
-      "bytes": 241457,
-      "rows": 11,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.AbelianOfAdjunction.coimageIsoImage_hom",
     "mathlib:CategoryTheory.Functor.rightDerived_map_eq",
@@ -486,5 +470,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/RightDerived.lean\",null,null,\"CategoryTheory.NatTrans.rightDerived_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/RightDerived.lean\",null,null,\"CategoryTheory.NatTrans.rightDerived_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Abelian/Transfer.lean\",null,null,\"CategoryTheory.AbelianOfAdjunction.coimageIsoImage_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 459150,
+      "path": "data/train/p97/mathlib-000600-0000-ae3f5e1ce7077ea4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ae3f5e1ce7077ea498f894cb5a242f848b30a0f473d3194ee9aaeab1935c12d1"
+    },
+    {
+      "bytes": 241457,
+      "path": "data/train/p97/mathlib-000600-0001-0d82a7d05a85ebc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0d82a7d05a85ebc9dbaffab084336cc409e1127a1dcf4c380f027dc11e4d7821"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000601.json b/manifests/batches/mathlib/000601.json
index 2e02a7273cadc153230179081902f041f14f39ac..34378daf9b50264c67b0fb4341735e646dde9939 100644
--- a/manifests/batches/mathlib/000601.json
+++ b/manifests/batches/mathlib/000601.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000601",
   "batch_fingerprint": "5f5799c179f4fc67798c5e6520295276aa0f9a7f032d57daae353514ee04d3a2",
   "evidence": {
@@ -1761,22 +1760,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000601-0000-05c25c92233f830a.parquet",
-      "sha256": "05c25c92233f830aee6ebeee64d62a2c3358b0287662833e04454524936e453b",
-      "bytes": 79793,
-      "rows": 14,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000601-0000-eaff4b2eab375648.parquet",
-      "sha256": "eaff4b2eab375648dabd19d9fc8bb1c1c5202611025b61865881b2bf969382e5",
-      "bytes": 59684,
-      "rows": 3,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ActionCategory.back_coe",
     "mathlib:CategoryTheory.IsPushout.IsVanKampen.flip",
@@ -1792,5 +1776,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adhesive.lean\",null,null,\"CategoryTheory.IsPushout.IsVanKampen.mono_of_mono_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adhesive.lean\",null,null,\"CategoryTheory.adhesive_of_preserves_and_reflects\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adhesive.lean\",null,null,\"CategoryTheory.adhesive_of_preserves_and_reflects_isomorphism\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79793,
+      "path": "data/train/pf3/mathlib-000601-0000-05c25c92233f830a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "05c25c92233f830aee6ebeee64d62a2c3358b0287662833e04454524936e453b"
+    },
+    {
+      "bytes": 59684,
+      "path": "data/internal_test/pf3/mathlib-000601-0000-eaff4b2eab375648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eaff4b2eab375648dabd19d9fc8bb1c1c5202611025b61865881b2bf969382e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000602.json b/manifests/batches/mathlib/000602.json
index 9144c98d94e7aa3ebcf820b76584cc272d3fc49e..b25f69532896823193af1c9d7f75cfd8bebfed4b 100644
--- a/manifests/batches/mathlib/000602.json
+++ b/manifests/batches/mathlib/000602.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000602",
   "batch_fingerprint": "cf78edc490ae29a01fb33866660a7c604e32957d7483a203529521af4a085f6a",
   "evidence": {
@@ -632,29 +631,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000602-0000-1de1e7cd0bcaffdc.parquet",
-      "sha256": "1de1e7cd0bcaffdcc8542502b46800ef32fb9991306268f04c4f3fb0b6455150",
-      "bytes": 129037,
-      "rows": 25,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/dev/mathlib-000602-0000-383b85cc693171b4.parquet",
-      "sha256": "383b85cc693171b41d7a7a579801469169d60858c25ec34114f842f338b53068",
-      "bytes": 51796,
-      "rows": 1,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/internal_test/mathlib-000602-0000-78466c30a2463765.parquet",
-      "sha256": "78466c30a2463765c85438c3c3d4fb79440c42dd2ae31c50a4a8e66a94bd755c",
-      "bytes": 71810,
-      "rows": 11,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left",
     "mathlib:CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left_aux",
@@ -696,5 +673,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Basic.lean\",null,null,\"CategoryTheory.Adjunction.homEquiv_symm_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Basic.lean\",null,null,\"CategoryTheory.Adjunction.left_triangle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Basic.lean\",null,null,\"CategoryTheory.Adjunction.right_triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129037,
+      "path": "data/train/p92/mathlib-000602-0000-1de1e7cd0bcaffdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1de1e7cd0bcaffdcc8542502b46800ef32fb9991306268f04c4f3fb0b6455150"
+    },
+    {
+      "bytes": 51796,
+      "path": "data/dev/p92/mathlib-000602-0000-383b85cc693171b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "383b85cc693171b41d7a7a579801469169d60858c25ec34114f842f338b53068"
+    },
+    {
+      "bytes": 71810,
+      "path": "data/internal_test/p92/mathlib-000602-0000-78466c30a2463765.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "78466c30a2463765c85438c3c3d4fb79440c42dd2ae31c50a4a8e66a94bd755c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000603.json b/manifests/batches/mathlib/000603.json
index 7f6f012aee946cb94e5fbf10a41aa6e39d1805ca..e387585a6b52174c1444ecbb7bd9a8f12424caa2 100644
--- a/manifests/batches/mathlib/000603.json
+++ b/manifests/batches/mathlib/000603.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000603",
   "batch_fingerprint": "aa6d7f7ebdfc493dca3af084ab329c4544d39141278148680084391016036728",
   "evidence": {
@@ -251,7 +250,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000604.json b/manifests/batches/mathlib/000604.json
index 91f3969aa806511fb9c3026d720dd7fe14c4adc6..37d211e35afa7992a2eb0aaad34cea7d80d1754d 100644
--- a/manifests/batches/mathlib/000604.json
+++ b/manifests/batches/mathlib/000604.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000604",
   "batch_fingerprint": "478b14abac062f97326356a4ca64e986f975999cdc91d65f0f9baa293bc27717",
   "evidence": {
@@ -568,7 +567,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000605.json b/manifests/batches/mathlib/000605.json
index be1fbd98cab2ebf2b01d67061e7d03a76534a015..337e454578de39561512585f9fdcbc30271f72fa 100644
--- a/manifests/batches/mathlib/000605.json
+++ b/manifests/batches/mathlib/000605.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000605",
   "batch_fingerprint": "52271aab40ae4fa6da65a9c9b9f84e9ddfeb03a3695d0af36b0b03ac2875e217",
   "evidence": {
@@ -304,22 +303,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000605-0000-769537ee44048135.parquet",
-      "sha256": "769537ee440481356692cc8346ce5d935343bebcb498cf088bcfa63650f58393",
-      "bytes": 184963,
-      "rows": 30,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/mathlib-000605-0000-92c6e71c1aa1a9e8.parquet",
-      "sha256": "92c6e71c1aa1a9e81f6a46baba4772e3244b88c74f394e1baa6d81cd1ae55509",
-      "bytes": 49235,
-      "rows": 1,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.transferNatTransSelf_adjunction_id",
     "mathlib:CategoryTheory.transferNatTransSelf_adjunction_id_symm",
@@ -345,5 +329,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Mates.lean\",null,null,\"CategoryTheory.transferNatTransSelf_symm_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Mates.lean\",null,null,\"CategoryTheory.transferNatTrans_counit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Mates.lean\",null,null,\"CategoryTheory.unit_transferNatTransSelf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184963,
+      "path": "data/train/peb/mathlib-000605-0000-769537ee44048135.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "769537ee440481356692cc8346ce5d935343bebcb498cf088bcfa63650f58393"
+    },
+    {
+      "bytes": 49235,
+      "path": "data/internal_test/peb/mathlib-000605-0000-92c6e71c1aa1a9e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "92c6e71c1aa1a9e81f6a46baba4772e3244b88c74f394e1baa6d81cd1ae55509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000606.json b/manifests/batches/mathlib/000606.json
index 6a29c0c6244e254219394d0a083c00ba7adfaeaa..a04d90f827129554cadc5c5e719b7a33e4eca702 100644
--- a/manifests/batches/mathlib/000606.json
+++ b/manifests/batches/mathlib/000606.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000606",
   "batch_fingerprint": "fc23376b3b58e044edf91c3e4bd0dd07463faa94507d140696b51500a2fa2160",
   "evidence": {
@@ -230,29 +229,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000606-0000-f573e05b1e1bd441.parquet",
-      "sha256": "f573e05b1e1bd4414582d761464b91a1a9eb1ec4a04ce976599acda0ff3315e1",
-      "bytes": 112006,
-      "rows": 12,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/dev/mathlib-000606-0000-9b47c55b4cc6fd55.parquet",
-      "sha256": "9b47c55b4cc6fd55fefe25b53dfa0ace0f45aa8168868689d45ede4667d14fdc",
-      "bytes": 59382,
-      "rows": 2,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/mathlib-000606-0000-6695ee59163d450c.parquet",
-      "sha256": "6695ee59163d450c2ae11c9aab80685666a8aa3ae54a97ac1c1b347f873e2809",
-      "bytes": 50712,
-      "rows": 2,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.map_restrictFullyFaithful_counit_app",
     "mathlib:CategoryTheory.Adjunction.map_restrictFullyFaithful_unit_app",
@@ -280,5 +257,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Restrict.lean\",null,null,\"CategoryTheory.Adjunction.map_restrictFullyFaithful_counit_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Restrict.lean\",null,null,\"CategoryTheory.Adjunction.map_restrictFullyFaithful_unit_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Restrict.lean\",null,null,\"CategoryTheory.Adjunction.restrictFullyFaithful_homEquiv_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112006,
+      "path": "data/train/p12/mathlib-000606-0000-f573e05b1e1bd441.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f573e05b1e1bd4414582d761464b91a1a9eb1ec4a04ce976599acda0ff3315e1"
+    },
+    {
+      "bytes": 59382,
+      "path": "data/dev/p12/mathlib-000606-0000-9b47c55b4cc6fd55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9b47c55b4cc6fd55fefe25b53dfa0ace0f45aa8168868689d45ede4667d14fdc"
+    },
+    {
+      "bytes": 50712,
+      "path": "data/internal_test/p12/mathlib-000606-0000-6695ee59163d450c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6695ee59163d450c2ae11c9aab80685666a8aa3ae54a97ac1c1b347f873e2809"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000607.json b/manifests/batches/mathlib/000607.json
index 0171873694e68fd05dc26b1ecb2258e068ae8064..c0402b905ac5cd9b67bad36b0061df1a1f0726fb 100644
--- a/manifests/batches/mathlib/000607.json
+++ b/manifests/batches/mathlib/000607.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000607",
   "batch_fingerprint": "2e1023e369b686f12bae681d0d33d3d2d6604bae99b8c11decc1114486dbb0db",
   "evidence": {
@@ -106,22 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000607-0000-086dd4c6b5e424d2.parquet",
-      "sha256": "086dd4c6b5e424d261540ffc4a0c71dd00a92e47f7a03d948e4ad3a5ffa36392",
-      "bytes": 138127,
-      "rows": 31,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/mathlib-000607-0000-559cf9704cc3f0a1.parquet",
-      "sha256": "559cf9704cc3f0a1077accbcbd08544508c792db07ae9c775b7089e807052433",
-      "bytes": 58517,
-      "rows": 7,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.homEquiv_leftAdjointUniq_hom_app",
     "mathlib:CategoryTheory.Adjunction.homEquiv_symm_rightAdjointUniq_hom_app",
@@ -163,5 +147,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Unique.lean\",null,null,\"CategoryTheory.Adjunction.unit_rightAdjointUniq_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Adjunction/Unique.lean\",null,null,\"CategoryTheory.Adjunction.unit_rightAdjointUniq_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Balanced.lean\",null,null,\"CategoryTheory.balanced_opposite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138127,
+      "path": "data/train/p64/mathlib-000607-0000-086dd4c6b5e424d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "086dd4c6b5e424d261540ffc4a0c71dd00a92e47f7a03d948e4ad3a5ffa36392"
+    },
+    {
+      "bytes": 58517,
+      "path": "data/internal_test/p64/mathlib-000607-0000-559cf9704cc3f0a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "559cf9704cc3f0a1077accbcbd08544508c792db07ae9c775b7089e807052433"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000608.json b/manifests/batches/mathlib/000608.json
index bbbee21600da7b39ef67e3cd80f8b433e99c2c0c..7b5f685a10de9594253b5ef3682448ac50059d5a 100644
--- a/manifests/batches/mathlib/000608.json
+++ b/manifests/batches/mathlib/000608.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000608",
   "batch_fingerprint": "19ecbd64853f75cc4041852157616662f72eb196426c1f6ee3f768aff2c9f39f",
   "evidence": {
@@ -732,29 +731,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000608-0000-79dedc2cb1882e59.parquet",
-      "sha256": "79dedc2cb1882e593151c2eab0163c4b9aa28a789f01df6a149993459d6a2f96",
-      "bytes": 170024,
-      "rows": 35,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/dev/mathlib-000608-0000-1ba608f9822dd587.parquet",
-      "sha256": "1ba608f9822dd58798986c028b2752e836e6e65ecef890a9c3913573c1571003",
-      "bytes": 66411,
-      "rows": 7,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/mathlib-000608-0000-737210fdc25a66d8.parquet",
-      "sha256": "737210fdc25a66d894cf91d224d8341ef954ec4f3c705ec3fe91f737074791de",
-      "bytes": 74900,
-      "rows": 9,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Bicategory.associator_inv_naturality_left",
     "mathlib:CategoryTheory.Bicategory.associator_inv_naturality_middle",
@@ -852,5 +829,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Basic.lean\",null,null,\"CategoryTheory.Bicategory.whiskerRight_id_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Basic.lean\",null,null,\"CategoryTheory.Bicategory.whiskerRight_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Basic.lean\",null,null,\"CategoryTheory.Bicategory.whisker_assoc_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170024,
+      "path": "data/train/pac/mathlib-000608-0000-79dedc2cb1882e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "79dedc2cb1882e593151c2eab0163c4b9aa28a789f01df6a149993459d6a2f96"
+    },
+    {
+      "bytes": 66411,
+      "path": "data/dev/pac/mathlib-000608-0000-1ba608f9822dd587.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1ba608f9822dd58798986c028b2752e836e6e65ecef890a9c3913573c1571003"
+    },
+    {
+      "bytes": 74900,
+      "path": "data/internal_test/pac/mathlib-000608-0000-737210fdc25a66d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "737210fdc25a66d894cf91d224d8341ef954ec4f3c705ec3fe91f737074791de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000609.json b/manifests/batches/mathlib/000609.json
index 22348a7efcac7bd2bb0366f855cd3549e2913d1e..7988b53272079fb7bcab5b6ffe98400375a18e47 100644
--- a/manifests/batches/mathlib/000609.json
+++ b/manifests/batches/mathlib/000609.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000609",
   "batch_fingerprint": "c58622f8dc48219fdd678a975f4e73ea9e1d1bcfa6b60fb8a85f75775a8a120f",
   "evidence": {
@@ -398,7 +397,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000610.json b/manifests/batches/mathlib/000610.json
index 7e79d46ba5f69ac77170fbd5bb45eb94c26014a9..65857662d5e1646fc27347b2c671c429437e7417 100644
--- a/manifests/batches/mathlib/000610.json
+++ b/manifests/batches/mathlib/000610.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000610",
   "batch_fingerprint": "146bf60f62379228cf35d1a033e9b72027e7d4a17af169eb2aa73b0c1cd965a7",
   "evidence": {
@@ -354,15 +353,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000610-0000-8a6385cacf8046d0.parquet",
-      "sha256": "8a6385cacf8046d0c6188b9685967d8284cd6cca2d52603ff438dd9a457b181e",
-      "bytes": 56635,
-      "rows": 4,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.OplaxFunctor.map\u2082_hom_inv",
     "mathlib:CategoryTheory.OplaxFunctor.map\u2082_inv",
@@ -372,5 +363,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Oplax.lean\",null,null,\"CategoryTheory.OplaxFunctor.map\u2082_hom_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Oplax.lean\",null,null,\"CategoryTheory.OplaxFunctor.map\u2082_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Oplax.lean\",null,null,\"CategoryTheory.OplaxFunctor.map\u2082_inv_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56635,
+      "path": "data/train/pcf/mathlib-000610-0000-8a6385cacf8046d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8a6385cacf8046d0c6188b9685967d8284cd6cca2d52603ff438dd9a457b181e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000611.json b/manifests/batches/mathlib/000611.json
index 88e720b47a28c542272a8aed1c5248ebb60f8f8d..ea410cec67e1af8c160c68c16964f59c6dd97522 100644
--- a/manifests/batches/mathlib/000611.json
+++ b/manifests/batches/mathlib/000611.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000611",
   "batch_fingerprint": "6a1004fffb7488e0c50f2c70c2a3df7f1bce858c5692fe1d80cab67e9420f833",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000611-0000-e8a48fa47d8206dd.parquet",
-      "sha256": "e8a48fa47d8206dd186fb3e7bfc0b9c327d9f8f925bc7a551a741f50ad4d7f24",
-      "bytes": 56659,
-      "rows": 4,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Pseudofunctor.map\u2082_hom_inv",
     "mathlib:CategoryTheory.Pseudofunctor.map\u2082_inv",
@@ -190,5 +181,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Pseudofunctor.lean\",null,null,\"CategoryTheory.Pseudofunctor.map\u2082_hom_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Pseudofunctor.lean\",null,null,\"CategoryTheory.Pseudofunctor.map\u2082_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Functor/Pseudofunctor.lean\",null,null,\"CategoryTheory.Pseudofunctor.map\u2082_inv_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56659,
+      "path": "data/train/p0d/mathlib-000611-0000-e8a48fa47d8206dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e8a48fa47d8206dd186fb3e7bfc0b9c327d9f8f925bc7a551a741f50ad4d7f24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000612.json b/manifests/batches/mathlib/000612.json
index 8678ef1cc4cd3b6dd05a5147559bb70056678374..bb2a35feadc7a36c336a8cbdc43cf31dce12b1bd 100644
--- a/manifests/batches/mathlib/000612.json
+++ b/manifests/batches/mathlib/000612.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000612",
   "batch_fingerprint": "03d1a8b069e5b1035b5619641ce2d5dcc6e9ababdc4258ae08a61141b56aa2d5",
   "evidence": {
@@ -507,19 +506,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000612-0000-4acd377a7e154442.parquet",
-      "sha256": "4acd377a7e15444279e36fefb4b9a1d94a57bab4333c31fe8622b507a3cb6673",
-      "bytes": 31117,
-      "rows": 2,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.LocallyDiscrete.eqToHom_toLoc"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/LocallyDiscrete.lean\",null,null,\"CategoryTheory.LocallyDiscrete.eqToHom_toLoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 31117,
+      "path": "data/train/p22/mathlib-000612-0000-4acd377a7e154442.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4acd377a7e15444279e36fefb4b9a1d94a57bab4333c31fe8622b507a3cb6673"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000613.json b/manifests/batches/mathlib/000613.json
index 24ced5ae2a60c7f1dc1244fdbfbe41c736f7b1b3..6624c22ff0c72edc7b332128e83e0ba044202a34 100644
--- a/manifests/batches/mathlib/000613.json
+++ b/manifests/batches/mathlib/000613.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000613",
   "batch_fingerprint": "7425e03fe5f9f52de293f5e790410fc4d4d05885a3ddb7d484b0189e998e5a3d",
   "evidence": {
@@ -113,15 +112,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000613-0000-c57a257aa860a71e.parquet",
-      "sha256": "c57a257aa860a71e612cb3bbc21a7a65921e6383fc7c2b8c75292cca7b3e1503",
-      "bytes": 45026,
-      "rows": 4,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Bicategory.eqToHom_whiskerRight",
     "mathlib:CategoryTheory.Bicategory.whiskerLeft_eqToHom"
@@ -129,5 +120,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Strict.lean\",null,null,\"CategoryTheory.Bicategory.eqToHom_whiskerRight\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Bicategory/Strict.lean\",null,null,\"CategoryTheory.Bicategory.whiskerLeft_eqToHom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45026,
+      "path": "data/train/p62/mathlib-000613-0000-c57a257aa860a71e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c57a257aa860a71e612cb3bbc21a7a65921e6383fc7c2b8c75292cca7b3e1503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000614.json b/manifests/batches/mathlib/000614.json
index 069ac13d4519b9873bb1fb30f36d33e3cdf053d7..d7d472bd6e915dab0215c61bf90c078904f56f06 100644
--- a/manifests/batches/mathlib/000614.json
+++ b/manifests/batches/mathlib/000614.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000614",
   "batch_fingerprint": "64f24c2845cacc04302db0611157edcfd7c666edc561b8eabd4e16d273bddf67",
   "evidence": {
@@ -238,22 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000614-0000-947bb41da0e44219.parquet",
-      "sha256": "947bb41da0e442194b722812c78eb2562e2f286c7536dda4dc79299431bee178",
-      "bytes": 122734,
-      "rows": 36,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/mathlib-000614-0000-494f57dfc73c8546.parquet",
-      "sha256": "494f57dfc73c8546e3aa8f6209e665444da67b39ebc506cfb55fa48d3c5e25b1",
-      "bytes": 52468,
-      "rows": 7,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.cancel_epi_id",
     "mathlib:CategoryTheory.cancel_mono_id",
@@ -295,5 +279,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Basic.lean\",null,null,\"CategoryTheory.mono_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Basic.lean\",null,null,\"CategoryTheory.mono_of_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Basic.lean\",null,null,\"CategoryTheory.mono_of_mono_fac\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122734,
+      "path": "data/train/pe0/mathlib-000614-0000-947bb41da0e44219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "947bb41da0e442194b722812c78eb2562e2f286c7536dda4dc79299431bee178"
+    },
+    {
+      "bytes": 52468,
+      "path": "data/internal_test/pe0/mathlib-000614-0000-494f57dfc73c8546.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "494f57dfc73c8546e3aa8f6209e665444da67b39ebc506cfb55fa48d3c5e25b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000615.json b/manifests/batches/mathlib/000615.json
index b0d49b6ec4d395107107c93f9e22b25c345b131f..f5df4f02c5994508ca13e886aeafb77c6ab2330a 100644
--- a/manifests/batches/mathlib/000615.json
+++ b/manifests/batches/mathlib/000615.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000615",
   "batch_fingerprint": "642f20cd1e991ffa9ad2e7f04c7335049cb078790a09a25cf02e39125b66cd6c",
   "evidence": {
@@ -146,22 +145,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000615-0000-833b0a4339f38357.parquet",
-      "sha256": "833b0a4339f38357b0bcb2fe4dbd550cf800c53d334cdaac14178c75bcfe849a",
-      "bytes": 29079,
-      "rows": 4,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/mathlib-000615-0000-dbf524373a4a9075.parquet",
-      "sha256": "dbf524373a4a907550b6e92154ddc4b6e13ead2392526dcc8aa6eed60ca3aa25",
-      "bytes": 24953,
-      "rows": 1,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Cat.associator_hom_app",
     "mathlib:CategoryTheory.Cat.associator_inv_app",
@@ -175,5 +159,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Cat.lean\",null,null,\"CategoryTheory.Cat.leftUnitor_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Cat.lean\",null,null,\"CategoryTheory.Cat.leftUnitor_inv_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Cat.lean\",null,null,\"CategoryTheory.Cat.rightUnitor_hom_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 29079,
+      "path": "data/train/p33/mathlib-000615-0000-833b0a4339f38357.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "833b0a4339f38357b0bcb2fe4dbd550cf800c53d334cdaac14178c75bcfe849a"
+    },
+    {
+      "bytes": 24953,
+      "path": "data/internal_test/p33/mathlib-000615-0000-dbf524373a4a9075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dbf524373a4a907550b6e92154ddc4b6e13ead2392526dcc8aa6eed60ca3aa25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000616.json b/manifests/batches/mathlib/000616.json
index 7822ba19e571cec90a135501c720ca2deae721ec..5af8a9f038440671760daca2e2f354bf6339184a 100644
--- a/manifests/batches/mathlib/000616.json
+++ b/manifests/batches/mathlib/000616.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000616",
   "batch_fingerprint": "020e46c4fb6389f3053e037e924a7f7af00e9f2495dda94226f35b8e6014ae21",
   "evidence": {
@@ -106,19 +105,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000616-0000-78937ff471b68725.parquet",
-      "sha256": "78937ff471b687257e61796220bb96e395aa2a0531b1068da3883758c9ce58db",
-      "bytes": 34958,
-      "rows": 2,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Grpd.piIsoPi_hom_\u03c0"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/Grpd.lean\",null,null,\"CategoryTheory.Grpd.piIsoPi_hom_\u03c0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34958,
+      "path": "data/train/pa6/mathlib-000616-0000-78937ff471b68725.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78937ff471b687257e61796220bb96e395aa2a0531b1068da3883758c9ce58db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000617.json b/manifests/batches/mathlib/000617.json
index e92e126a7e79588a950ca46235258083a33c94a8..8c028406231199ef9585991f95a642bd2592d6f6 100644
--- a/manifests/batches/mathlib/000617.json
+++ b/manifests/batches/mathlib/000617.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000617",
   "batch_fingerprint": "720dbd97791cb6d297ab77bf83e0b58b8fdbc9dbbdbead187e7e4b894a293493",
   "evidence": {
@@ -129,7 +128,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000618.json b/manifests/batches/mathlib/000618.json
index 83672d8761aa96db42c44306ae8b962b21b4005e..bcd1edb2afb72652af551ae05495aa9b4cd948ba 100644
--- a/manifests/batches/mathlib/000618.json
+++ b/manifests/batches/mathlib/000618.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000618",
   "batch_fingerprint": "034faae2086e2c1b5a1181a93d1f4a1e99c67bd25fade11706f40fea67caefaf",
   "evidence": {
@@ -636,15 +635,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000618-0000-314cdf7d43e597ea.parquet",
-      "sha256": "314cdf7d43e597ea8eb6bab905090df343889467465c6f74e232cb0eebc36a9c",
-      "bytes": 28270,
-      "rows": 2,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.RelCat.Hom.rel_comp_apply\u2082",
     "mathlib:CategoryTheory.RelCat.Hom.rel_id_apply\u2082"
@@ -652,5 +643,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/RelCat.lean\",null,null,\"CategoryTheory.RelCat.Hom.rel_comp_apply\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Category/RelCat.lean\",null,null,\"CategoryTheory.RelCat.Hom.rel_id_apply\u2082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 28270,
+      "path": "data/train/p65/mathlib-000618-0000-314cdf7d43e597ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "314cdf7d43e597ea8eb6bab905090df343889467465c6f74e232cb0eebc36a9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000619.json b/manifests/batches/mathlib/000619.json
index 94ac4b1f6366f55b7cd9b34c88a0cb64eb0dca91..c3208f60596160cebec71bc2a7476ceee72116af 100644
--- a/manifests/batches/mathlib/000619.json
+++ b/manifests/batches/mathlib/000619.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000619",
   "batch_fingerprint": "714e79b2516c01683fbf194a292b90f0fca83d4c7fcc57070f1ddfd0f4fbdf93",
   "evidence": {
@@ -239,7 +238,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000620.json b/manifests/batches/mathlib/000620.json
index 4738ea0481da1468b8f734c2f75505c310ee1f62..46674792ac585bb7ef2d24576c525adc40712eaa 100644
--- a/manifests/batches/mathlib/000620.json
+++ b/manifests/batches/mathlib/000620.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000620",
   "batch_fingerprint": "f20bd6f556f6e5e0175f55879d8ead346812e0b8c056121f49a02e4865788ef7",
   "evidence": {
@@ -431,29 +430,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000620-0000-1ef9eabb985c33ed.parquet",
-      "sha256": "1ef9eabb985c33ed153f8af313e829b572f3decf65e8e4b4bcd98db133d32003",
-      "bytes": 72750,
-      "rows": 15,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/dev/mathlib-000620-0000-e1bc5f54662fc5f5.parquet",
-      "sha256": "e1bc5f54662fc5f50976419a78483cdc09f822968303d0502b68632ba8421f0e",
-      "bytes": 38342,
-      "rows": 1,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/mathlib-000620-0000-fa8f9fea856c907e.parquet",
-      "sha256": "fa8f9fea856c907eeefa51c379cee64f88b926de7e5509e993cce7b8d5957635",
-      "bytes": 49439,
-      "rows": 4,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ChosenFiniteProducts.associator_hom_snd_fst",
     "mathlib:CategoryTheory.ChosenFiniteProducts.associator_hom_snd_snd",
@@ -485,5 +462,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ChosenFiniteProducts/FunctorCategory.lean\",null,null,\"CategoryTheory.Functor.Monoidal.tensorHom_app_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ChosenFiniteProducts/FunctorCategory.lean\",null,null,\"CategoryTheory.Functor.Monoidal.whiskerLeft_app_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ChosenFiniteProducts/FunctorCategory.lean\",null,null,\"CategoryTheory.Functor.Monoidal.whiskerRight_app_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72750,
+      "path": "data/train/p06/mathlib-000620-0000-1ef9eabb985c33ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1ef9eabb985c33ed153f8af313e829b572f3decf65e8e4b4bcd98db133d32003"
+    },
+    {
+      "bytes": 38342,
+      "path": "data/dev/p06/mathlib-000620-0000-e1bc5f54662fc5f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e1bc5f54662fc5f50976419a78483cdc09f822968303d0502b68632ba8421f0e"
+    },
+    {
+      "bytes": 49439,
+      "path": "data/internal_test/p06/mathlib-000620-0000-fa8f9fea856c907e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fa8f9fea856c907eeefa51c379cee64f88b926de7e5509e993cce7b8d5957635"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000621.json b/manifests/batches/mathlib/000621.json
index 10070c7e7ef17d9f6deee69714149b4bbb383211..c5e81b7b408a0e6b797c1686c194f636e7cf48a2 100644
--- a/manifests/batches/mathlib/000621.json
+++ b/manifests/batches/mathlib/000621.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000621",
   "batch_fingerprint": "bfea9bd8c82bc9b40c6acbf3122c6ec2e56f24f30d8f15b26848441c6d666fd5",
   "evidence": {
@@ -585,22 +584,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000621-0000-f6d26bd96b9a79f1.parquet",
-      "sha256": "f6d26bd96b9a79f1d8bd25d998edf098ec1dc79c83e9eb2f20b20ecea6826ce9",
-      "bytes": 210541,
-      "rows": 28,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/dev/mathlib-000621-0000-c9b928881b73ad4b.parquet",
-      "sha256": "c9b928881b73ad4b6f49ef11e870032e75575a75254f486de49b12e4d061c711",
-      "bytes": 41652,
-      "rows": 1,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CartesianClosed.curry_id_eq_coev",
     "mathlib:CategoryTheory.CartesianClosed.uncurry_id_eq_ev",
@@ -630,5 +614,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Closed/Functor.lean\",null,null,\"CategoryTheory.expComparison_whiskerLeft\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Closed/Functor.lean\",null,null,\"CategoryTheory.frobeniusMorphism_iso_of_expComparison_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Closed/Functor.lean\",null,null,\"CategoryTheory.uncurry_expComparison\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210541,
+      "path": "data/train/p94/mathlib-000621-0000-f6d26bd96b9a79f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f6d26bd96b9a79f1d8bd25d998edf098ec1dc79c83e9eb2f20b20ecea6826ce9"
+    },
+    {
+      "bytes": 41652,
+      "path": "data/dev/p94/mathlib-000621-0000-c9b928881b73ad4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c9b928881b73ad4b6f49ef11e870032e75575a75254f486de49b12e4d061c711"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000622.json b/manifests/batches/mathlib/000622.json
index b3b5a34052f4e03db3c36228ea436a42c69accc6..e58a97fc0a006e11284f9bc5b09e8b6be49f164a 100644
--- a/manifests/batches/mathlib/000622.json
+++ b/manifests/batches/mathlib/000622.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000622",
   "batch_fingerprint": "7eed7df7b63c93ca572baf75b1785b6be85c8c08264dfa9cab13a66ef67660ab",
   "evidence": {
@@ -264,15 +263,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000622-0000-ad4282e3ec6a6d37.parquet",
-      "sha256": "ad4282e3ec6a6d3749218dd19113438fa89d27c94a3cc6661ef52f36316ab673",
-      "bytes": 63512,
-      "rows": 5,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ExponentialIdeal.mk'",
     "mathlib:CategoryTheory.ExponentialIdeal.mk_of_iso"
@@ -280,5 +271,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Closed/Ideal.lean\",null,null,\"CategoryTheory.ExponentialIdeal.mk'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Closed/Ideal.lean\",null,null,\"CategoryTheory.ExponentialIdeal.mk_of_iso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63512,
+      "path": "data/train/p60/mathlib-000622-0000-ad4282e3ec6a6d37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ad4282e3ec6a6d3749218dd19113438fa89d27c94a3cc6661ef52f36316ab673"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000623.json b/manifests/batches/mathlib/000623.json
index 4d7b9079a5e3457e814deb2c252a7a42610870ff..2975e09f220156432661f67999482a2970fa8881 100644
--- a/manifests/batches/mathlib/000623.json
+++ b/manifests/batches/mathlib/000623.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000623",
   "batch_fingerprint": "de3ea78f1c14a0db319b038b6cfc0e50a5b310054bd79254dbcbceed2783e8fb",
   "evidence": {
@@ -720,22 +719,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000623-0000-b3b0c558e36343dc.parquet",
-      "sha256": "b3b0c558e36343dcf3e7e9c11ba14fdfe327ca85bbfb9a56decc9eeefefef27f",
-      "bytes": 56946,
-      "rows": 10,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/dev/mathlib-000623-0000-789ef7ca9525e6f7.parquet",
-      "sha256": "789ef7ca9525e6f7e093c5ecf5c9ca46cd6809ca3b5454748e68f535aee72cd9",
-      "bytes": 37116,
-      "rows": 2,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MonoidalClosed.curry_id_eq_coev",
     "mathlib:CategoryTheory.MonoidalClosed.pre_comm_ihom_map",
@@ -757,5 +741,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ClosedUnderIsomorphisms.lean\",null,null,\"CategoryTheory.isoClosure_le_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ClosedUnderIsomorphisms.lean\",null,null,\"CategoryTheory.mem_isoClosure_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ClosedUnderIsomorphisms.lean\",null,null,\"CategoryTheory.monotone_isoClosure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56946,
+      "path": "data/train/p68/mathlib-000623-0000-b3b0c558e36343dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b3b0c558e36343dcf3e7e9c11ba14fdfe327ca85bbfb9a56decc9eeefefef27f"
+    },
+    {
+      "bytes": 37116,
+      "path": "data/dev/p68/mathlib-000623-0000-789ef7ca9525e6f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "789ef7ca9525e6f7e093c5ecf5c9ca46cd6809ca3b5454748e68f535aee72cd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000624.json b/manifests/batches/mathlib/000624.json
index 3396e724e29cc0aeb64175dca611e0c436086293..7c3f658ddf69d8a7dd53f6a6a24b22758140bc05 100644
--- a/manifests/batches/mathlib/000624.json
+++ b/manifests/batches/mathlib/000624.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000624",
   "batch_fingerprint": "95037eff8437f1532ab2021ab0e9d7ae7292481fa0a6dbbb08a8a1bd279e83bb",
   "evidence": {
@@ -799,29 +798,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000624-0000-174a425e8d228576.parquet",
-      "sha256": "174a425e8d2285760b2fc22f194a745efef6c5c4feb5446d57f89860f6cff3e8",
-      "bytes": 213585,
-      "rows": 52,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/dev/mathlib-000624-0000-900429247d01460c.parquet",
-      "sha256": "900429247d01460c7be07d202505852187c54e66bb00703a58cfe034492ee9da",
-      "bytes": 60113,
-      "rows": 5,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000624-0000-1a7058a4c15a06f9.parquet",
-      "sha256": "1a7058a4c15a06f9ab59d3a2743a3a72ac4d47d6263b5c266a5f1f8bbd19dbb8",
-      "bytes": 41716,
-      "rows": 1,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CommSq.HasLift.iff",
     "mathlib:CategoryTheory.CommSq.HasLift.iff_op",
@@ -863,5 +840,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/CommSq.lean\",null,null,\"CategoryTheory.CommSq.unop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/CommSq.lean\",null,null,\"CategoryTheory.CommSq.vert_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/CommSq.lean\",null,null,\"CategoryTheory.Functor.map_commSq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213585,
+      "path": "data/train/p4d/mathlib-000624-0000-174a425e8d228576.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "174a425e8d2285760b2fc22f194a745efef6c5c4feb5446d57f89860f6cff3e8"
+    },
+    {
+      "bytes": 60113,
+      "path": "data/dev/p4d/mathlib-000624-0000-900429247d01460c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "900429247d01460c7be07d202505852187c54e66bb00703a58cfe034492ee9da"
+    },
+    {
+      "bytes": 41716,
+      "path": "data/internal_test/p4d/mathlib-000624-0000-1a7058a4c15a06f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1a7058a4c15a06f9ab59d3a2743a3a72ac4d47d6263b5c266a5f1f8bbd19dbb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000625.json b/manifests/batches/mathlib/000625.json
index 1c6f0b2c6f84b65a2bdb99b16e0fd2925ce1aedc..91a4dab382c9c0e43ecd8e78059eb7fe15cdae14 100644
--- a/manifests/batches/mathlib/000625.json
+++ b/manifests/batches/mathlib/000625.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000625",
   "batch_fingerprint": "7a0a23ad323b1709aa332ffa4261a50b8448db9b5f994b44eab49eafcdfcbcea",
   "evidence": {
@@ -503,29 +502,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000625-0000-b914cc650cc27fdc.parquet",
-      "sha256": "b914cc650cc27fdc9bdc8893258f057adcc1edb61b997e714c4b1b41f004a15c",
-      "bytes": 65414,
-      "rows": 15,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/dev/mathlib-000625-0000-76244fb1a3c3978b.parquet",
-      "sha256": "76244fb1a3c3978b3125dde161a1d3099efca01e4b1a135b0c2001d43268bc49",
-      "bytes": 29419,
-      "rows": 1,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000625-0000-fce85e1ef9f9ddd4.parquet",
-      "sha256": "fce85e1ef9f9ddd4f06e564091bee0807ce76d84d848b5c8922c448afd999b65",
-      "bytes": 32895,
-      "rows": 3,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Arrow.hom.congr_left",
     "mathlib:CategoryTheory.Arrow.hom.congr_right",
@@ -559,5 +536,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Arrow.lean\",null,null,\"CategoryTheory.Arrow.mk_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Arrow.lean\",null,null,\"CategoryTheory.Arrow.square_from_iso_invert\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Arrow.lean\",null,null,\"CategoryTheory.Arrow.square_to_iso_invert\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65414,
+      "path": "data/train/pad/mathlib-000625-0000-b914cc650cc27fdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b914cc650cc27fdc9bdc8893258f057adcc1edb61b997e714c4b1b41f004a15c"
+    },
+    {
+      "bytes": 29419,
+      "path": "data/dev/pad/mathlib-000625-0000-76244fb1a3c3978b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76244fb1a3c3978b3125dde161a1d3099efca01e4b1a135b0c2001d43268bc49"
+    },
+    {
+      "bytes": 32895,
+      "path": "data/internal_test/pad/mathlib-000625-0000-fce85e1ef9f9ddd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fce85e1ef9f9ddd4f06e564091bee0807ce76d84d848b5c8922c448afd999b65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000626.json b/manifests/batches/mathlib/000626.json
index c64afd65eec499197539af16f7af741619ae623e..454814f580091a90b0d4155877b54510ac152796 100644
--- a/manifests/batches/mathlib/000626.json
+++ b/manifests/batches/mathlib/000626.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000626",
   "batch_fingerprint": "60d796af5e515ffd03b053acf271b1d2357fb89000f26a9cd85b3130b1dcafe0",
   "evidence": {
@@ -1330,15 +1329,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000626-0000-284ca0ba46fb2262.parquet",
-      "sha256": "284ca0ba46fb22626e7c063e48a74399e42559adbe5ba927889443861e165e9d",
-      "bytes": 161315,
-      "rows": 33,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Over.OverMorphism.ext",
     "mathlib:CategoryTheory.Over.over_right",
@@ -1390,5 +1381,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Presheaf.lean\",null,null,\"CategoryTheory.OverPresheafAux.unitForward_naturality\u2081\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Presheaf.lean\",null,null,\"CategoryTheory.OverPresheafAux.unitForward_naturality\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/Presheaf.lean\",null,null,\"CategoryTheory.OverPresheafAux.unitForward_unitBackward\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161315,
+      "path": "data/train/p00/mathlib-000626-0000-284ca0ba46fb2262.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "284ca0ba46fb22626e7c063e48a74399e42559adbe5ba927889443861e165e9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000627.json b/manifests/batches/mathlib/000627.json
index 3fc5a166a1bd27f6118c2d4f4db7c1a6299379a1..454db51f4d570c1c87a599bfdb727e2d54be96a9 100644
--- a/manifests/batches/mathlib/000627.json
+++ b/manifests/batches/mathlib/000627.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000627",
   "batch_fingerprint": "8f2e886754b94c0110ea72a51421e4ef85d6eebfe73f875b53404eb4ad56da2f",
   "evidence": {
@@ -3860,29 +3859,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000627-0000-417611382b6ed2ab.parquet",
-      "sha256": "417611382b6ed2ab528a48f7dd65ab5798f1c8fc347f736ea4e9d3a6d995963d",
-      "bytes": 70834,
-      "rows": 15,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/dev/mathlib-000627-0000-7aacb44cc89e01ea.parquet",
-      "sha256": "7aacb44cc89e01ea2c045760e2a71146160a7144e7d3fea3666761554215891b",
-      "bytes": 46781,
-      "rows": 2,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    },
-    {
-      "path": "data/internal_test/mathlib-000627-0000-429d3c37de4b6c0f.parquet",
-      "sha256": "429d3c37de4b6c0f90cd2e2992bf7fb98a29124edca60a353c7530bf672d0456",
-      "bytes": 47133,
-      "rows": 3,
-      "revision": "496a2816efd0655f38a8a4f8a01a5df678f2c6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CostructuredArrow.IsUniversal.existsUnique",
     "mathlib:CategoryTheory.CostructuredArrow.IsUniversal.hom_ext",
@@ -3916,5 +3893,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/StructuredArrow.lean\",null,null,\"CategoryTheory.StructuredArrow.map_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/StructuredArrow.lean\",null,null,\"CategoryTheory.StructuredArrow.map_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Comma/StructuredArrow.lean\",null,null,\"CategoryTheory.StructuredArrow.w\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70834,
+      "path": "data/train/p69/mathlib-000627-0000-417611382b6ed2ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "417611382b6ed2ab528a48f7dd65ab5798f1c8fc347f736ea4e9d3a6d995963d"
+    },
+    {
+      "bytes": 46781,
+      "path": "data/dev/p69/mathlib-000627-0000-7aacb44cc89e01ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7aacb44cc89e01ea2c045760e2a71146160a7144e7d3fea3666761554215891b"
+    },
+    {
+      "bytes": 47133,
+      "path": "data/internal_test/p69/mathlib-000627-0000-429d3c37de4b6c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "429d3c37de4b6c0f90cd2e2992bf7fb98a29124edca60a353c7530bf672d0456"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000628.json b/manifests/batches/mathlib/000628.json
index e78574f7d4540d9c99b339aa96a8a733eae1af2d..b6d811a6796f62f1f771bcf4dc7a33e642cd5838 100644
--- a/manifests/batches/mathlib/000628.json
+++ b/manifests/batches/mathlib/000628.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000628",
   "batch_fingerprint": "5b5f119ce5522585df7efb90dfc6dccccef2e9e1bdbcbf9b074db645d08051a8",
   "evidence": {
@@ -260,15 +259,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000628-0000-76a1c223d4fb8c67.parquet",
-      "sha256": "76a1c223d4fb8c67a1db455d501b9ab4f85c85402d15bca877433810285a164f",
-      "bytes": 61473,
-      "rows": 6,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ConcreteCategory.hom_ext",
     "mathlib:CategoryTheory.NatTrans.naturality_apply",
@@ -278,5 +269,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/Basic.lean\",null,null,\"CategoryTheory.ConcreteCategory.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/Basic.lean\",null,null,\"CategoryTheory.NatTrans.naturality_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/Basic.lean\",null,null,\"CategoryTheory.forget\u2082_comp_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61473,
+      "path": "data/train/p4c/mathlib-000628-0000-76a1c223d4fb8c67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "76a1c223d4fb8c67a1db455d501b9ab4f85c85402d15bca877433810285a164f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000629.json b/manifests/batches/mathlib/000629.json
index 2a9616fe221c317c305163261b1ba9eac754be32..a1104b58f03513b19ca70c8ada611bf2f62f3ab4 100644
--- a/manifests/batches/mathlib/000629.json
+++ b/manifests/batches/mathlib/000629.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000629",
   "batch_fingerprint": "399a04d271e7cb92e6d245cc49447dc4ad2e2b0e382e2a49e348b8b7d7b8967e",
   "evidence": {
@@ -560,22 +559,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000629-0000-7a4226adddff8e98.parquet",
-      "sha256": "7a4226adddff8e98c31a0a4dcbb10542bc454e56d3f65aec77cc740baaec6d8c",
-      "bytes": 53444,
-      "rows": 6,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000629-0000-e53024f6bdacb044.parquet",
-      "sha256": "e53024f6bdacb044f5e95e2c7b6424cad6bba36ac84088d4ff83d2ec1a8831ea",
-      "bytes": 37076,
-      "rows": 2,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ConcreteCategory.bijective_of_isIso",
     "mathlib:CategoryTheory.ConcreteCategory.injective_eq_monomorphisms",
@@ -587,5 +571,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/EpiMono.lean\",null,null,\"CategoryTheory.ConcreteCategory.injective_eq_monomorphisms\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/EpiMono.lean\",null,null,\"CategoryTheory.ConcreteCategory.isIso_iff_bijective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/ConcreteCategory/EpiMono.lean\",null,null,\"CategoryTheory.ConcreteCategory.surjective_eq_epimorphisms\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53444,
+      "path": "data/train/p93/mathlib-000629-0000-7a4226adddff8e98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7a4226adddff8e98c31a0a4dcbb10542bc454e56d3f65aec77cc740baaec6d8c"
+    },
+    {
+      "bytes": 37076,
+      "path": "data/internal_test/p93/mathlib-000629-0000-e53024f6bdacb044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e53024f6bdacb044f5e95e2c7b6424cad6bba36ac84088d4ff83d2ec1a8831ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000630.json b/manifests/batches/mathlib/000630.json
index 0f34cf1b7871dc7392c48f513d0ec7525fa25f78..5e2eb41227148904f94135442798924dc71a2b89 100644
--- a/manifests/batches/mathlib/000630.json
+++ b/manifests/batches/mathlib/000630.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000630",
   "batch_fingerprint": "06afbe8a80486afd004ee8f277ef5f485d9ef7fa6f6b1adb9eee7627aa922b20",
   "evidence": {
@@ -326,22 +325,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000630-0000-c7d1de2fc0132078.parquet",
-      "sha256": "c7d1de2fc0132078049feeaa07e84a4109298dfc711f440e64ab9fb8ebd48b46",
-      "bytes": 57099,
-      "rows": 9,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000630-0000-2ef4713161ab56e7.parquet",
-      "sha256": "2ef4713161ab56e74475c44e5ee7b49bb9c1a945e4e1e63e77ff340c4b565f5b",
-      "bytes": 27898,
-      "rows": 1,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.map_conjAut",
     "mathlib:CategoryTheory.Functor.map_homCongr",
@@ -363,5 +347,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Conj.lean\",null,null,\"CategoryTheory.Iso.homCongr_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Conj.lean\",null,null,\"CategoryTheory.Iso.refl_conj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Conj.lean\",null,null,\"CategoryTheory.Iso.symm_self_conj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57099,
+      "path": "data/train/p7c/mathlib-000630-0000-c7d1de2fc0132078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c7d1de2fc0132078049feeaa07e84a4109298dfc711f440e64ab9fb8ebd48b46"
+    },
+    {
+      "bytes": 27898,
+      "path": "data/internal_test/p7c/mathlib-000630-0000-2ef4713161ab56e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2ef4713161ab56e74475c44e5ee7b49bb9c1a945e4e1e63e77ff340c4b565f5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000631.json b/manifests/batches/mathlib/000631.json
index 35b15977de19332b73f668adab3b167f2ad18856..ed826b2280ffccbbee8a73f55cb71bc41c1311cb 100644
--- a/manifests/batches/mathlib/000631.json
+++ b/manifests/batches/mathlib/000631.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000631",
   "batch_fingerprint": "adc43004bb1974de04e134c47ff8f2381022dce1ef97bd88a2e77379fb962f4c",
   "evidence": {
@@ -215,19 +214,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000631-0000-cad9fa4c5bf6083e.parquet",
-      "sha256": "cad9fa4c5bf6083ea9ac168c994977469f73cb5fb3543f3fe4b65dbd579bc5b7",
-      "bytes": 23782,
-      "rows": 1,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Core.id_hom"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Core.lean\",null,null,\"CategoryTheory.Core.id_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 23782,
+      "path": "data/train/p4e/mathlib-000631-0000-cad9fa4c5bf6083e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cad9fa4c5bf6083ea9ac168c994977469f73cb5fb3543f3fe4b65dbd579bc5b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000632.json b/manifests/batches/mathlib/000632.json
index 24ab931de13c77f4b592f695e3a1732dccc2c787..acfe02b85f70ed0eb966aed9192cda466fbb0d46 100644
--- a/manifests/batches/mathlib/000632.json
+++ b/manifests/batches/mathlib/000632.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000632",
   "batch_fingerprint": "c2c11a2efc31f2ce51e0af69afa79d89621bf803c1ba4704f8a114bad678ef3a",
   "evidence": {
@@ -339,15 +338,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000632-0000-e48b235298c348c0.parquet",
-      "sha256": "e48b235298c348c0c8765d585a5d180109fa18da7b9c6a24cf228ebfeb1a5782",
-      "bytes": 33778,
-      "rows": 2,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Discrete.functor_map",
     "mathlib:CategoryTheory.Discrete.mk_as"
@@ -355,5 +346,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/DiscreteCategory.lean\",null,null,\"CategoryTheory.Discrete.functor_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/DiscreteCategory.lean\",null,null,\"CategoryTheory.Discrete.mk_as\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33778,
+      "path": "data/train/p6b/mathlib-000632-0000-e48b235298c348c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e48b235298c348c0c8765d585a5d180109fa18da7b9c6a24cf228ebfeb1a5782"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000633.json b/manifests/batches/mathlib/000633.json
index 703fb9e9f20af8428e1bd3fc3f05af60278d12e2..839b9f5c46cbc20dd0c625e20b33ea2739b1389f 100644
--- a/manifests/batches/mathlib/000633.json
+++ b/manifests/batches/mathlib/000633.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000633",
   "batch_fingerprint": "2a7632d1952aa66b32308e01306ada62947c212dda5648505baa219ed6823453",
   "evidence": {
@@ -238,19 +237,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000633-0000-9de036b684df46bc.parquet",
-      "sha256": "9de036b684df46bcbad11bb9560805c94597ea710a881d5e4a07b79eb90444f6",
-      "bytes": 68527,
-      "rows": 3,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.effectiveEpiFamilyStructCompIso_aux"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EffectiveEpi/Comp.lean\",null,null,\"CategoryTheory.effectiveEpiFamilyStructCompIso_aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68527,
+      "path": "data/train/p58/mathlib-000633-0000-9de036b684df46bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9de036b684df46bcbad11bb9560805c94597ea710a881d5e4a07b79eb90444f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000634.json b/manifests/batches/mathlib/000634.json
index ece67b783e29ec5f168e33cd3a019c965a8930cf..15c502fc4b1b4e8a24581350f9986fd911163ba0 100644
--- a/manifests/batches/mathlib/000634.json
+++ b/manifests/batches/mathlib/000634.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000634",
   "batch_fingerprint": "523ea8e9af7676e1cfb3a5cba7bb97e546be4fb5f49337b3851e7790682e754b",
   "evidence": {
@@ -143,19 +142,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000634-0000-a7b41af1197e254c.parquet",
-      "sha256": "a7b41af1197e254cb5dceae8d25c2f737644e012d1bf439cc988dbcb288e8961",
-      "bytes": 42771,
-      "rows": 1,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.effectiveEpi_desc_iff_effectiveEpiFamily"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EffectiveEpi/Extensive.lean\",null,null,\"CategoryTheory.effectiveEpi_desc_iff_effectiveEpiFamily\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42771,
+      "path": "data/train/ped/mathlib-000634-0000-a7b41af1197e254c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a7b41af1197e254cb5dceae8d25c2f737644e012d1bf439cc988dbcb288e8961"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000635.json b/manifests/batches/mathlib/000635.json
index 0e4d850e4d832d0bcaa651bfd13380664b070fb3..7b9abffae4771b62de33227df5cebbea1e7ae271 100644
--- a/manifests/batches/mathlib/000635.json
+++ b/manifests/batches/mathlib/000635.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000635",
   "batch_fingerprint": "3dd30f8e0cc13b8d46284de12e74ee2dca3a567277093e1950951a33c7b3723b",
   "evidence": {
@@ -1047,22 +1046,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000635-0000-573d7976988b1bd7.parquet",
-      "sha256": "573d7976988b1bd7965061658ef25cc4b060ce59b336c22e337b85449a2bbb0c",
-      "bytes": 58236,
-      "rows": 6,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000635-0000-d7b19c81571fff56.parquet",
-      "sha256": "d7b19c81571fff56063b481f7e19ef4135b6fb97ded0f46a2529584430988eb9",
-      "bytes": 58509,
-      "rows": 5,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Endofunctor.Adjunction.Algebra.homEquiv_naturality_str",
     "mathlib:CategoryTheory.Endofunctor.Adjunction.Coalgebra.homEquiv_naturality_str_symm",
@@ -1076,5 +1060,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Endofunctor/Algebra.lean\",null,null,\"CategoryTheory.Endofunctor.Adjunction.Coalgebra.homEquiv_naturality_str_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Endofunctor/Algebra.lean\",null,null,\"CategoryTheory.Endofunctor.Algebra.Initial.left_inv'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Endofunctor/Algebra.lean\",null,null,\"CategoryTheory.Endofunctor.Algebra.Initial.right_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58236,
+      "path": "data/train/p27/mathlib-000635-0000-573d7976988b1bd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "573d7976988b1bd7965061658ef25cc4b060ce59b336c22e337b85449a2bbb0c"
+    },
+    {
+      "bytes": 58509,
+      "path": "data/internal_test/p27/mathlib-000635-0000-d7b19c81571fff56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d7b19c81571fff56063b481f7e19ef4135b6fb97ded0f46a2529584430988eb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000636.json b/manifests/batches/mathlib/000636.json
index 8900ee5cfd0da1f7d57dde9c098b5cc1e42da7ce..8787052d45b40433535c61477eacbb63baec3ca5 100644
--- a/manifests/batches/mathlib/000636.json
+++ b/manifests/batches/mathlib/000636.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000636",
   "batch_fingerprint": "6674b2d1788baebf7f28f4cdd23e54d6bde9ea9a0d593a5b88ffb563d058fdf9",
   "evidence": {
@@ -425,19 +424,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000636-0000-93bdb41c351dff8e.parquet",
-      "sha256": "93bdb41c351dff8ed90d2e090d40074327d85a69fb7febabc4dd86e747317e9a",
-      "bytes": 47067,
-      "rows": 1,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.e_assoc'"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Enriched/Basic.lean\",null,null,\"CategoryTheory.e_assoc'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47067,
+      "path": "data/train/pf7/mathlib-000636-0000-93bdb41c351dff8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "93bdb41c351dff8ed90d2e090d40074327d85a69fb7febabc4dd86e747317e9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000637.json b/manifests/batches/mathlib/000637.json
index 771390a2f4fbc60523361cbe714d2645b3d9cbdf..6d183a5c4d00a9db9861836f41ccb77c287af5a2 100644
--- a/manifests/batches/mathlib/000637.json
+++ b/manifests/batches/mathlib/000637.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000637",
   "batch_fingerprint": "897fe0cf9caa7057039783cb9eac7e59e0650f72856ca45b357537532f12578d",
   "evidence": {
@@ -800,29 +799,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000637-0000-355fe98d2de57003.parquet",
-      "sha256": "355fe98d2de5700341e9dd46f4ff576a2c181b27091c082a76fb43f8841bf875",
-      "bytes": 126701,
-      "rows": 35,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/dev/mathlib-000637-0000-a609af52fea2881b.parquet",
-      "sha256": "a609af52fea2881b278fb045e06d4724d9d126e85e62a534deeb14eb0dfe626a",
-      "bytes": 54269,
-      "rows": 9,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000637-0000-e39fe9d58b3fe812.parquet",
-      "sha256": "e39fe9d58b3fe8129366c12bf6fd594c30797d2ffe918381f9c4b34c6f946405",
-      "bytes": 25704,
-      "rows": 1,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.congr_hom",
     "mathlib:CategoryTheory.Functor.congr_obj",
@@ -878,5 +855,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EqToHom.lean\",null,null,\"CategoryTheory.eqToIso_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EqToHom.lean\",null,null,\"CategoryTheory.eq_conj_eqToHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EqToHom.lean\",null,null,\"CategoryTheory.inv_eqToHom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126701,
+      "path": "data/train/paa/mathlib-000637-0000-355fe98d2de57003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "355fe98d2de5700341e9dd46f4ff576a2c181b27091c082a76fb43f8841bf875"
+    },
+    {
+      "bytes": 54269,
+      "path": "data/dev/paa/mathlib-000637-0000-a609af52fea2881b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a609af52fea2881b278fb045e06d4724d9d126e85e62a534deeb14eb0dfe626a"
+    },
+    {
+      "bytes": 25704,
+      "path": "data/internal_test/paa/mathlib-000637-0000-e39fe9d58b3fe812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e39fe9d58b3fe8129366c12bf6fd594c30797d2ffe918381f9c4b34c6f946405"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000638.json b/manifests/batches/mathlib/000638.json
index 5e15c571b36634b858ee2825a52c333e5cda42d9..efc31391b2978cc9625596aad30894c76c52a7e0 100644
--- a/manifests/batches/mathlib/000638.json
+++ b/manifests/batches/mathlib/000638.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000638",
   "batch_fingerprint": "7cb16ed543d69fa0dfe3de0cc6f3aa23e78ecf49cc9647b95d57ba9edf050986",
   "evidence": {
@@ -744,29 +743,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000638-0000-323fec98ff68c19b.parquet",
-      "sha256": "323fec98ff68c19b95cb913854536d53839c3349a7969ca737a49caae8f46db0",
-      "bytes": 130350,
-      "rows": 32,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/dev/mathlib-000638-0000-052bd433cbc0ec3f.parquet",
-      "sha256": "052bd433cbc0ec3f51334131b550b3c123dadea1ac2b419bd3e959c223febc36",
-      "bytes": 48748,
-      "rows": 1,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000638-0000-bd5ce374b1ef3c0b.parquet",
-      "sha256": "bd5ce374b1ef3c0b8652a1848e089721e22dc07ebecfe6bb608d898c0e44c91d",
-      "bytes": 55555,
-      "rows": 6,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Equivalence.cancel_counitInv_right",
     "mathlib:CategoryTheory.Equivalence.cancel_counitInv_right_assoc",
@@ -816,5 +793,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Equivalence.lean\",null,null,\"CategoryTheory.Functor.isEquivalence_of_comp_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Equivalence.lean\",null,null,\"CategoryTheory.Functor.isEquivalence_of_comp_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EssentialImage.lean\",null,null,\"CategoryTheory.Functor.essSurj_of_surj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130350,
+      "path": "data/train/pad/mathlib-000638-0000-323fec98ff68c19b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "323fec98ff68c19b95cb913854536d53839c3349a7969ca737a49caae8f46db0"
+    },
+    {
+      "bytes": 48748,
+      "path": "data/dev/pad/mathlib-000638-0000-052bd433cbc0ec3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "052bd433cbc0ec3f51334131b550b3c123dadea1ac2b419bd3e959c223febc36"
+    },
+    {
+      "bytes": 55555,
+      "path": "data/internal_test/pad/mathlib-000638-0000-bd5ce374b1ef3c0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bd5ce374b1ef3c0b8652a1848e089721e22dc07ebecfe6bb608d898c0e44c91d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000639.json b/manifests/batches/mathlib/000639.json
index 9dd8c75bcd9a9182ced6fdb10afc7781d23e6f43..b33aa0fd9b9481ac9ec9d088f0f75647f48cf3a7 100644
--- a/manifests/batches/mathlib/000639.json
+++ b/manifests/batches/mathlib/000639.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000639",
   "batch_fingerprint": "42db21b81b9384d805f5700fa04b87f6f126d4225c2d9c4d7eba37c9e14b8c83",
   "evidence": {
@@ -1748,15 +1747,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000639-0000-a27b38b82424f099.parquet",
-      "sha256": "a27b38b82424f09945c1d51b28794036c3c869f5d30af6f9aa22f4d94b6d82dc",
-      "bytes": 42374,
-      "rows": 2,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.essentiallySmall_iff_of_thin",
     "mathlib:CategoryTheory.essentiallySmall_of_small_of_locallySmall"
@@ -1764,5 +1755,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EssentiallySmall.lean\",null,null,\"CategoryTheory.essentiallySmall_iff_of_thin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/EssentiallySmall.lean\",null,null,\"CategoryTheory.essentiallySmall_of_small_of_locallySmall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42374,
+      "path": "data/train/pe4/mathlib-000639-0000-a27b38b82424f099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a27b38b82424f09945c1d51b28794036c3c869f5d30af6f9aa22f4d94b6d82dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000640.json b/manifests/batches/mathlib/000640.json
index 6ce9ef381835e83f76786761d36a860a5f6223a1..277f2fa20401a23ec4f492ee88874b39a182c938 100644
--- a/manifests/batches/mathlib/000640.json
+++ b/manifests/batches/mathlib/000640.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000640",
   "batch_fingerprint": "54e192d84ac0a6e3133f21fcf4523deb886fc6baf9a11a27da563541d9c6ab7c",
   "evidence": {
@@ -128,22 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000640-0000-51681f00a857cac7.parquet",
-      "sha256": "51681f00a857cac795f5f2a0c6cc48d22025473895eb4cabc4fa3424e39c5fd8",
-      "bytes": 74697,
-      "rows": 10,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000640-0000-48d907f4022203ba.parquet",
-      "sha256": "48d907f4022203baec6702eb25f3423f87d0d192edc36ffffd37612e6af739ca",
-      "bytes": 53224,
-      "rows": 3,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.BasedFunctor.isHomLift_map",
     "mathlib:CategoryTheory.BasedNatIso.isIso_of_toNatTrans_isIso",
@@ -159,5 +143,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FiberedCategory/BasedCategory.lean\",null,null,\"CategoryTheory.BasedNatTrans.isHomLift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FiberedCategory/Cartesian.lean\",null,null,\"CategoryTheory.Functor.IsCartesian.eq_of_fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FiberedCategory/Cartesian.lean\",null,null,\"CategoryTheory.Functor.IsCartesian.map_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74697,
+      "path": "data/train/p82/mathlib-000640-0000-51681f00a857cac7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "51681f00a857cac795f5f2a0c6cc48d22025473895eb4cabc4fa3424e39c5fd8"
+    },
+    {
+      "bytes": 53224,
+      "path": "data/internal_test/p82/mathlib-000640-0000-48d907f4022203ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "48d907f4022203baec6702eb25f3423f87d0d192edc36ffffd37612e6af739ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000641.json b/manifests/batches/mathlib/000641.json
index 01a28bc891c5a4d0c69a7f2e90456cffcaa24339..ec3cd2398abd31dbba183b69a63408a0d890b0cf 100644
--- a/manifests/batches/mathlib/000641.json
+++ b/manifests/batches/mathlib/000641.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000641",
   "batch_fingerprint": "371277919961c5af53e7e15b27d2a67c9520e253b37923e58ca9eacc389ce57f",
   "evidence": {
@@ -2324,29 +2323,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000641-0000-d4eb74ec2b06fa17.parquet",
-      "sha256": "d4eb74ec2b06fa175ba90934f8010954ba345c518c826635c267ca9e33f93530",
-      "bytes": 99926,
-      "rows": 31,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/dev/mathlib-000641-0000-93670309dd3949cb.parquet",
-      "sha256": "93670309dd3949cbc0e555677bf3f96a3c7b15504181b252d85a6fef340b41c7",
-      "bytes": 43517,
-      "rows": 4,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000641-0000-e51e8c7a29c8605b.parquet",
-      "sha256": "e51e8c7a29c8605ba87a922250cd18f8a37535fea3b019109e08900faddafebe",
-      "bytes": 51341,
-      "rows": 5,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.ranges_directed",
     "mathlib:CategoryTheory.IsCofiltered.cospan",
@@ -2394,5 +2371,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Basic.lean\",null,null,\"CategoryTheory.IsFiltered.coeq\u2083_condition\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Basic.lean\",null,null,\"CategoryTheory.IsFiltered.span\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Basic.lean\",null,null,\"CategoryTheory.IsFilteredOrEmpty.of_right_adjoint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99926,
+      "path": "data/train/p8c/mathlib-000641-0000-d4eb74ec2b06fa17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d4eb74ec2b06fa175ba90934f8010954ba345c518c826635c267ca9e33f93530"
+    },
+    {
+      "bytes": 43517,
+      "path": "data/dev/p8c/mathlib-000641-0000-93670309dd3949cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "93670309dd3949cbc0e555677bf3f96a3c7b15504181b252d85a6fef340b41c7"
+    },
+    {
+      "bytes": 51341,
+      "path": "data/internal_test/p8c/mathlib-000641-0000-e51e8c7a29c8605b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e51e8c7a29c8605ba87a922250cd18f8a37535fea3b019109e08900faddafebe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000642.json b/manifests/batches/mathlib/000642.json
index 3ee20ea52c83a8b8f0ce2d42ee4300486625bafd..496086f2514131403c781214245da1e95be9d183 100644
--- a/manifests/batches/mathlib/000642.json
+++ b/manifests/batches/mathlib/000642.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000642",
   "batch_fingerprint": "1f5357e631fc930c5c019ad8f8eb0f6b50a26e99d47930c3d7e0cc90d2983af9",
   "evidence": {
@@ -654,15 +653,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000642-0000-56d6a8c49c11f339.parquet",
-      "sha256": "56d6a8c49c11f339b26b137ffb8da2abedbb45130d25bb409caca9b016ff101b",
-      "bytes": 104791,
-      "rows": 29,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.final_iff_isFiltered_structuredArrow",
     "mathlib:CategoryTheory.Functor.final_of_exists_of_isFiltered",
@@ -684,5 +675,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Final.lean\",null,null,\"CategoryTheory.IsCofiltered.of_exists_of_isCofiltered_of_fullyFaithful\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Final.lean\",null,null,\"CategoryTheory.IsCofilteredOrEmpty.of_exists_of_isCofiltered_of_fullyFaithful\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Filtered/Final.lean\",null,null,\"CategoryTheory.IsFiltered.of_exists_of_isFiltered_of_fullyFaithful\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104791,
+      "path": "data/train/p4b/mathlib-000642-0000-56d6a8c49c11f339.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "56d6a8c49c11f339b26b137ffb8da2abedbb45130d25bb409caca9b016ff101b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000643.json b/manifests/batches/mathlib/000643.json
index 233bceeae79d1d6d3c54ff3b67ad4c37ccebbad4..5f6042b18e153f425fa52e7c593dc7303ea00dd2 100644
--- a/manifests/batches/mathlib/000643.json
+++ b/manifests/batches/mathlib/000643.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000643",
   "batch_fingerprint": "e2b02e758889f82194ba1c67556d24a7f7a1e0e38068b36d4529044e68f4c447",
   "evidence": {
@@ -462,15 +461,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000643-0000-2b9eb238b5a260da.parquet",
-      "sha256": "2b9eb238b5a260da0f58159a0b49b433edd6ca86138c33dbfad4cf843db71c1d",
-      "bytes": 33132,
-      "rows": 5,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FintypeCat.Skeleton.incl_mk_nat_card",
     "mathlib:FintypeCat.hom_ext",
@@ -480,5 +471,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FintypeCat.lean\",null,null,\"FintypeCat.Skeleton.incl_mk_nat_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FintypeCat.lean\",null,null,\"FintypeCat.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/FintypeCat.lean\",null,null,\"FintypeCat.isSkeleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33132,
+      "path": "data/train/pd1/mathlib-000643-0000-2b9eb238b5a260da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2b9eb238b5a260da0f58159a0b49b433edd6ca86138c33dbfad4cf843db71c1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000644.json b/manifests/batches/mathlib/000644.json
index 5ebcafb2c38028ad426176df5e59b3926d84334f..caf246eaa45bebc7206b276aa850bf502fe3207a 100644
--- a/manifests/batches/mathlib/000644.json
+++ b/manifests/batches/mathlib/000644.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000644",
   "batch_fingerprint": "4e806f197fc068480befdfe7992c3b1d8e2ec07a82879d4fcdb593755be80736",
   "evidence": {
@@ -282,15 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000644-0000-973ca0d22c8ee7f5.parquet",
-      "sha256": "973ca0d22c8ee7f53fba5a4c0b75f051d11b987c6f6fbcacbca290fba572ba8a",
-      "bytes": 57332,
-      "rows": 6,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.comp_id",
     "mathlib:CategoryTheory.Functor.id_comp",
@@ -302,5 +293,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Basic.lean\",null,null,\"CategoryTheory.Functor.id_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Basic.lean\",null,null,\"CategoryTheory.Functor.map_comp_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Basic.lean\",null,null,\"CategoryTheory.Functor.map_dite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57332,
+      "path": "data/train/pda/mathlib-000644-0000-973ca0d22c8ee7f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "973ca0d22c8ee7f53fba5a4c0b75f051d11b987c6f6fbcacbca290fba572ba8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000645.json b/manifests/batches/mathlib/000645.json
index 8e60375c3908f79b7faead483256ebb330a86036..e65b26c3f9c055800d629c2c3bda9c5a33085446 100644
--- a/manifests/batches/mathlib/000645.json
+++ b/manifests/batches/mathlib/000645.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000645",
   "batch_fingerprint": "09e65c1df685f1a2c9a7ddfec462e893042a9bb17e7e7e13dce43d6b06598e97",
   "evidence": {
@@ -238,29 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000645-0000-23c6deb9ce96b2d2.parquet",
-      "sha256": "23c6deb9ce96b2d29a1a7149dc61a9e25b08114e4db27a04773a2ae647a07e1e",
-      "bytes": 58409,
-      "rows": 7,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000645-0000-aa649c5a9e8d0831.parquet",
-      "sha256": "aa649c5a9e8d08317400e8835d58b6ae1d0afd2f6061c17ae9d8524e67aeed6e",
-      "bytes": 34436,
-      "rows": 1,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000645-0000-66f7556d7cbc1667.parquet",
-      "sha256": "66f7556d7cbc1667059e3dfd2a409407b84aedeed6476795caa9d2403f7ff13a",
-      "bytes": 57128,
-      "rows": 2,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Iso.map_hom_inv_id_app",
     "mathlib:CategoryTheory.Iso.map_inv_hom_id_app",
@@ -280,5 +257,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Category.lean\",null,null,\"CategoryTheory.NatTrans.hcomp_id_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Category.lean\",null,null,\"CategoryTheory.NatTrans.id_hcomp_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Category.lean\",null,null,\"CategoryTheory.NatTrans.mono_of_mono_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58409,
+      "path": "data/train/p2b/mathlib-000645-0000-23c6deb9ce96b2d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "23c6deb9ce96b2d29a1a7149dc61a9e25b08114e4db27a04773a2ae647a07e1e"
+    },
+    {
+      "bytes": 34436,
+      "path": "data/dev/p2b/mathlib-000645-0000-aa649c5a9e8d0831.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aa649c5a9e8d08317400e8835d58b6ae1d0afd2f6061c17ae9d8524e67aeed6e"
+    },
+    {
+      "bytes": 57128,
+      "path": "data/internal_test/p2b/mathlib-000645-0000-66f7556d7cbc1667.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66f7556d7cbc1667059e3dfd2a409407b84aedeed6476795caa9d2403f7ff13a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000646.json b/manifests/batches/mathlib/000646.json
index 408eb65745b3f65e8e16cbfee966e61badffdd7e..0cc51a3de19928bc6c20d970cbe44ebe40eeedf3 100644
--- a/manifests/batches/mathlib/000646.json
+++ b/manifests/batches/mathlib/000646.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000646",
   "batch_fingerprint": "192a95d8c4394b0e72f5e8ea0a404db2157eb90f4f20e7ed5f70ffb5965e1803",
   "evidence": {
@@ -451,15 +450,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000646-0000-2825080b327baf36.parquet",
-      "sha256": "2825080b327baf3607141369a781238430c0338538bf411f745761b438cd299e",
-      "bytes": 104543,
-      "rows": 16,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.HasRightDerivedFunctor.hasLeftKanExtension",
     "mathlib:CategoryTheory.Functor.HasRightDerivedFunctor.mk'",
@@ -485,5 +476,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean\",null,null,\"CategoryTheory.Functor.rightDerivedNatTrans_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean\",null,null,\"CategoryTheory.Functor.rightDerivedNatTrans_fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean\",null,null,\"CategoryTheory.Functor.rightDerivedNatTrans_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104543,
+      "path": "data/train/p0d/mathlib-000646-0000-2825080b327baf36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2825080b327baf3607141369a781238430c0338538bf411f745761b438cd299e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000647.json b/manifests/batches/mathlib/000647.json
index 2fd5aba72b198cfbabba41ad4bd5f978cf7ab5c6..c65da1c69861b8227e0754378cdfa2e414dc2784 100644
--- a/manifests/batches/mathlib/000647.json
+++ b/manifests/batches/mathlib/000647.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000647",
   "batch_fingerprint": "79a4fc7a3fec6de5887f185130fa15f2085f97653aa72d144f2d862440a348b2",
   "evidence": {
@@ -1061,22 +1060,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000647-0000-45e723906d6be2aa.parquet",
-      "sha256": "45e723906d6be2aa5f8fee52a940a40f5fa94a0303d8a0015320b495bfe61c17",
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-      "rows": 23,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000647-0000-323d89373e2b5f9b.parquet",
-      "sha256": "323d89373e2b5f9bfc68116bbea243b8c804cb87a237bad1733b3f3d8e24d36b",
-      "bytes": 53247,
-      "rows": 3,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.strongEpi_map_of_strongEpi",
     "mathlib:CategoryTheory.Functor.preservesEpimorphisms.of_iso",
@@ -1096,5 +1080,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/EpiMono.lean\",null,null,\"CategoryTheory.Functor.reflectsEpimorphisms.of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/EpiMono.lean\",null,null,\"CategoryTheory.Functor.reflectsMonomorphisms.of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/EpiMono.lean\",null,null,\"CategoryTheory.Functor.splitEpiCategoryImpOfIsEquivalence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103783,
+      "path": "data/train/p1c/mathlib-000647-0000-45e723906d6be2aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "45e723906d6be2aa5f8fee52a940a40f5fa94a0303d8a0015320b495bfe61c17"
+    },
+    {
+      "bytes": 53247,
+      "path": "data/dev/p1c/mathlib-000647-0000-323d89373e2b5f9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "323d89373e2b5f9bfc68116bbea243b8c804cb87a237bad1733b3f3d8e24d36b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000648.json b/manifests/batches/mathlib/000648.json
index 19d481dab89fd289611dd1c8383418f5fe473d63..f15a704ac4e0ae1e9117940698b5dc9738110b82 100644
--- a/manifests/batches/mathlib/000648.json
+++ b/manifests/batches/mathlib/000648.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000648",
   "batch_fingerprint": "5dea6f6d9be73711f34566da02236f3ef1bcdd673020ca12dd37a40a4e0a7067",
   "evidence": {
@@ -458,29 +457,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000648-0000-9ef989de991ab6cb.parquet",
-      "sha256": "9ef989de991ab6cb3f1d463767912433332565d0a6e4a7c3cf90415992afb2ea",
-      "bytes": 119662,
-      "rows": 19,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000648-0000-ba561127c462498f.parquet",
-      "sha256": "ba561127c462498f2ce39db48155c39e915ebf99ea758bda2264ccab421b828e",
-      "bytes": 43230,
-      "rows": 2,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000648-0000-15beac3a21a056b8.parquet",
-      "sha256": "15beac3a21a056b88e6db4ed47a59a1074598fe56c5aa53c23cbd17172a7c803",
-      "bytes": 31109,
-      "rows": 1,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.Faithful.div_comp",
     "mathlib:CategoryTheory.Functor.Faithful.of_iso",
@@ -504,5 +481,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/FullyFaithful.lean\",null,null,\"CategoryTheory.Functor.preimage_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/FullyFaithful.lean\",null,null,\"CategoryTheory.Functor.preimage_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/FullyFaithful.lean\",null,null,\"CategoryTheory.Functor.preimage_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119662,
+      "path": "data/train/pda/mathlib-000648-0000-9ef989de991ab6cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9ef989de991ab6cb3f1d463767912433332565d0a6e4a7c3cf90415992afb2ea"
+    },
+    {
+      "bytes": 43230,
+      "path": "data/dev/pda/mathlib-000648-0000-ba561127c462498f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ba561127c462498f2ce39db48155c39e915ebf99ea758bda2264ccab421b828e"
+    },
+    {
+      "bytes": 31109,
+      "path": "data/internal_test/pda/mathlib-000648-0000-15beac3a21a056b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "15beac3a21a056b88e6db4ed47a59a1074598fe56c5aa53c23cbd17172a7c803"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000649.json b/manifests/batches/mathlib/000649.json
index a0b42dc71aa635cbb84245669a2aba2e8be1a10c..0a19ddf7b68e49dd5e46935e2e1e7be96cc78679 100644
--- a/manifests/batches/mathlib/000649.json
+++ b/manifests/batches/mathlib/000649.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000649",
   "batch_fingerprint": "9823d2d03a0b140c35afe38545d67d2ae4c55c3775b586495162368f3de5f813",
   "evidence": {
@@ -1172,22 +1171,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000649-0000-886354d92b6dfccc.parquet",
-      "sha256": "886354d92b6dfcccdb4afeeef344280b5855ca43098102b8aa571e4520594f56",
-      "bytes": 46179,
-      "rows": 2,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000649-0000-fb7d6a4fc042c762.parquet",
-      "sha256": "fb7d6a4fc042c762aae741a625fc939816fb16612038046c04406c4d3e079d7f",
-      "bytes": 56187,
-      "rows": 3,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.isIso_lanAdjunction_counit_app_iff",
     "mathlib:CategoryTheory.Functor.lanAdjunction_unit",
@@ -1197,5 +1181,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/KanExtension/Adjunction.lean\",null,null,\"CategoryTheory.Functor.isIso_lanAdjunction_counit_app_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/KanExtension/Adjunction.lean\",null,null,\"CategoryTheory.Functor.lanAdjunction_unit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/KanExtension/Adjunction.lean\",null,null,\"CategoryTheory.Functor.lanUnit_app_whiskerLeft_lanAdjunction_counit_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46179,
+      "path": "data/train/p96/mathlib-000649-0000-886354d92b6dfccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "886354d92b6dfcccdb4afeeef344280b5855ca43098102b8aa571e4520594f56"
+    },
+    {
+      "bytes": 56187,
+      "path": "data/dev/p96/mathlib-000649-0000-fb7d6a4fc042c762.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fb7d6a4fc042c762aae741a625fc939816fb16612038046c04406c4d3e079d7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000650.json b/manifests/batches/mathlib/000650.json
index 708f261578129711c95fbc07c1ae41b2d9d6a159..c25160bcdc96bfa850f363200b832278d669f477 100644
--- a/manifests/batches/mathlib/000650.json
+++ b/manifests/batches/mathlib/000650.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000650",
   "batch_fingerprint": "3a8f1162e895f652b008140443462eff3e742bb40163d6f7e296f3a40b449f42",
   "evidence": {
@@ -607,15 +606,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000650-0000-6079be0edf5bfc25.parquet",
-      "sha256": "6079be0edf5bfc2558d37153c0f3383d8444c7dd06c42eedcee3e5db6c50508a",
-      "bytes": 135468,
-      "rows": 9,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.hom_ext",
     "mathlib:CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtensionAt.isIso_hom_app"
@@ -623,5 +614,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/KanExtension/Pointwise.lean\",null,null,\"CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Functor/KanExtension/Pointwise.lean\",null,null,\"CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtensionAt.isIso_hom_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135468,
+      "path": "data/train/p31/mathlib-000650-0000-6079be0edf5bfc25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6079be0edf5bfc2558d37153c0f3383d8444c7dd06c42eedcee3e5db6c50508a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000651.json b/manifests/batches/mathlib/000651.json
index 3665e7c90f3ef27503024a49fe95582bac8003e6..85480734f324c93162d09370990a02d87d3cea0f 100644
--- a/manifests/batches/mathlib/000651.json
+++ b/manifests/batches/mathlib/000651.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000651",
   "batch_fingerprint": "860d823b53f4ebd23081a387929f7764a5ef273f62ceaeaac3e0408e9bbc7d2d",
   "evidence": {
@@ -454,22 +453,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000651-0000-8516f4597aecd92e.parquet",
-      "sha256": "8516f4597aecd92e5a148003f369c42c630611ab32899e00192ac4d692991ac5",
-      "bytes": 234065,
-      "rows": 41,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000651-0000-7409c8f6ec7d36e9.parquet",
-      "sha256": "7409c8f6ec7d36e983dcda8cd81bb4c1151be23421b4ddae711f40cabdb530c3",
-      "bytes": 58482,
-      "rows": 6,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.balanced_of_preserves",
     "mathlib:CategoryTheory.PreGaloisCategory.card_aut_le_card_fiber_of_connected",
@@ -505,5 +489,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Basic.lean\",null,null,\"CategoryTheory.PreGaloisCategory.non_zero_card_fiber_of_not_initial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Basic.lean\",null,null,\"CategoryTheory.PreGaloisCategory.not_initial_iff_fiber_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Basic.lean\",null,null,\"CategoryTheory.PreGaloisCategory.surjective_of_nonempty_fiber_of_isConnected\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234065,
+      "path": "data/train/pb3/mathlib-000651-0000-8516f4597aecd92e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "8516f4597aecd92e5a148003f369c42c630611ab32899e00192ac4d692991ac5"
+    },
+    {
+      "bytes": 58482,
+      "path": "data/internal_test/pb3/mathlib-000651-0000-7409c8f6ec7d36e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7409c8f6ec7d36e983dcda8cd81bb4c1151be23421b4ddae711f40cabdb530c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000652.json b/manifests/batches/mathlib/000652.json
index 7833e1410fc8edeaf5c03718ab92e2c3c40dc0f1..922a5c6f1d0bece1d7bfa883dcdd40018be3590b 100644
--- a/manifests/batches/mathlib/000652.json
+++ b/manifests/batches/mathlib/000652.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000652",
   "batch_fingerprint": "8cc9c63d26235f3f6b9ca56701f6bcb45940905a81775e28e1ec5b3e4f2b3df9",
   "evidence": {
@@ -1015,15 +1014,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000652-0000-4c7baf0cd62c30a9.parquet",
-      "sha256": "4c7baf0cd62c30a9a4e1c9ab4b1e16076e94ca349550d7c5c01cbc94d2da7a9a",
-      "bytes": 128069,
-      "rows": 27,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.PreGaloisCategory.exists_hom_from_galois_of_fiber",
     "mathlib:CategoryTheory.PreGaloisCategory.exists_hom_from_galois_of_fiber_nonempty",
@@ -1045,5 +1036,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Decomposition.lean\",null,null,\"CategoryTheory.PreGaloisCategory.mkSelfProdFib_map_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Decomposition.lean\",null,null,\"CategoryTheory.PreGaloisCategory.selfProdProj_fiber\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Decomposition.lean\",null,null,\"CategoryTheory.PreGaloisCategory.subobj_selfProd_trans\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128069,
+      "path": "data/train/p26/mathlib-000652-0000-4c7baf0cd62c30a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "4c7baf0cd62c30a9a4e1c9ab4b1e16076e94ca349550d7c5c01cbc94d2da7a9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000653.json b/manifests/batches/mathlib/000653.json
index 0f9e6a4ed3576264d211fc28b1b96c6bebc70a66..ba3912603845b33876477d6e7ea3672c8dfbfd95 100644
--- a/manifests/batches/mathlib/000653.json
+++ b/manifests/batches/mathlib/000653.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000653",
   "batch_fingerprint": "6a93ef6c32d11188f80c68390ee2fd2d26ad69de4bb685e78465f1369a8f2d1b",
   "evidence": {
@@ -436,29 +435,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000653-0000-9dce07b062fb4f98.parquet",
-      "sha256": "9dce07b062fb4f982a2c8f812e3b1ba213174f82da0fb69ace4ac69b1e1d1896",
-      "bytes": 207992,
-      "rows": 38,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000653-0000-5910f0f19cdd2d83.parquet",
-      "sha256": "5910f0f19cdd2d832e69c24436559a7e67d8b3dc4c329a5cf2cbe6a9418ae3c0",
-      "bytes": 69394,
-      "rows": 8,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000653-0000-085105c323bb71a6.parquet",
-      "sha256": "085105c323bb71a6b217ec2594be72d464a644adaaade16e0739b10ae0689e68",
-      "bytes": 74136,
-      "rows": 8,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.PreGaloisCategory.AutGalois.\u03c0_surjective",
     "mathlib:CategoryTheory.PreGaloisCategory.FiberFunctor.isPretransitive_of_isGalois",
@@ -492,5 +469,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Prorepresentability.lean\",null,null,\"CategoryTheory.PreGaloisCategory.endEquivAutGalois_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Prorepresentability.lean\",null,null,\"CategoryTheory.PreGaloisCategory.endEquivAutGalois_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Galois/Prorepresentability.lean\",null,null,\"CategoryTheory.PreGaloisCategory.endEquivSectionsFibers_\u03c0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207992,
+      "path": "data/train/p95/mathlib-000653-0000-9dce07b062fb4f98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9dce07b062fb4f982a2c8f812e3b1ba213174f82da0fb69ace4ac69b1e1d1896"
+    },
+    {
+      "bytes": 69394,
+      "path": "data/dev/p95/mathlib-000653-0000-5910f0f19cdd2d83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5910f0f19cdd2d832e69c24436559a7e67d8b3dc4c329a5cf2cbe6a9418ae3c0"
+    },
+    {
+      "bytes": 74136,
+      "path": "data/internal_test/p95/mathlib-000653-0000-085105c323bb71a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "085105c323bb71a6b217ec2594be72d464a644adaaade16e0739b10ae0689e68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000654.json b/manifests/batches/mathlib/000654.json
index 5706d33dc62901064098657d58c2ceaff4264b04..32385859c40382e25c31eaecdd1f5a0b40f59483 100644
--- a/manifests/batches/mathlib/000654.json
+++ b/manifests/batches/mathlib/000654.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000654",
   "batch_fingerprint": "492fcd8ec1570c2179e05354734e83e6cf607078d15f15c6f984bc34024765a7",
   "evidence": {
@@ -2864,29 +2863,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000654-0000-5e45e4bf0c95d5c2.parquet",
-      "sha256": "5e45e4bf0c95d5c214234e82462d785d3ab4dae766a4abe9f296fcff4ec9e8d2",
-      "bytes": 200059,
-      "rows": 50,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000654-0000-79d173fba7bfdc72.parquet",
-      "sha256": "79d173fba7bfdc725111471c689134a52ebd5e3d28da17df239d85c12a9ceb9e",
-      "bytes": 54160,
-      "rows": 2,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000654-0000-5f527afab09a7539.parquet",
-      "sha256": "5f527afab09a7539c32f55ff3d07cb95e942cb302579168b93f6b35bb23e74c9",
-      "bytes": 55272,
-      "rows": 7,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CostructuredArrow.isSeparating_proj_preimage",
     "mathlib:CategoryTheory.GlueData.t'_iij",
@@ -2958,5 +2935,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GlueData.lean\",null,null,\"CategoryTheory.GlueData.\u03b9_gluedIso_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GlueData.lean\",null,null,\"CategoryTheory.GlueData.\u03b9_gluedIso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GlueData.lean\",null,null,\"CategoryTheory.GlueData.\u03b9_jointly_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200059,
+      "path": "data/train/p51/mathlib-000654-0000-5e45e4bf0c95d5c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "5e45e4bf0c95d5c214234e82462d785d3ab4dae766a4abe9f296fcff4ec9e8d2"
+    },
+    {
+      "bytes": 54160,
+      "path": "data/dev/p51/mathlib-000654-0000-79d173fba7bfdc72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "79d173fba7bfdc725111471c689134a52ebd5e3d28da17df239d85c12a9ceb9e"
+    },
+    {
+      "bytes": 55272,
+      "path": "data/internal_test/p51/mathlib-000654-0000-5f527afab09a7539.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5f527afab09a7539c32f55ff3d07cb95e942cb302579168b93f6b35bb23e74c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000655.json b/manifests/batches/mathlib/000655.json
index cd8b50e17e6b00e48324a72fb3f383c758120ec2..b7b3b209c7266f9dade555c341da7a60fb58f829 100644
--- a/manifests/batches/mathlib/000655.json
+++ b/manifests/batches/mathlib/000655.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000655",
   "batch_fingerprint": "73229b5ae3c183e53106bbbde36cddbe3e1c576ef32564877cf25510ec991731",
   "evidence": {
@@ -302,29 +301,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000655-0000-063d13bbe31a945d.parquet",
-      "sha256": "063d13bbe31a945dd146f64027b93b406e218c1c5da984a53fae59bb55fe6cb5",
-      "bytes": 262384,
-      "rows": 25,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/mathlib-000655-0000-9799a25a842f2b5b.parquet",
-      "sha256": "9799a25a842f2b5b50ad6a6a8b53a63672ba68c6776ef2a387ef003d787d4542",
-      "bytes": 35229,
-      "rows": 2,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/mathlib-000655-0000-cc7185757ce08311.parquet",
-      "sha256": "cc7185757ce08311c93fb5a680d6ec8beb582f35185a6bb7fc86ede3b4df9c4d",
-      "bytes": 43205,
-      "rows": 3,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GradedObject.CofanMapObjFun.inj_iso_hom",
     "mathlib:CategoryTheory.GradedObject.CofanMapObjFun.\u03b9MapObj_iso_inv",
@@ -370,5 +347,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject.lean\",null,null,\"CategoryTheory.Iso.map_inv_hom_id_eval_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Associator.lean\",null,null,\"CategoryTheory.GradedObject.\u03b9_mapBifunctorAssociator_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Associator.lean\",null,null,\"CategoryTheory.GradedObject.\u03b9_mapBifunctorAssociator_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262384,
+      "path": "data/train/paa/mathlib-000655-0000-063d13bbe31a945d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "063d13bbe31a945dd146f64027b93b406e218c1c5da984a53fae59bb55fe6cb5"
+    },
+    {
+      "bytes": 35229,
+      "path": "data/dev/paa/mathlib-000655-0000-9799a25a842f2b5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9799a25a842f2b5b50ad6a6a8b53a63672ba68c6776ef2a387ef003d787d4542"
+    },
+    {
+      "bytes": 43205,
+      "path": "data/internal_test/paa/mathlib-000655-0000-cc7185757ce08311.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cc7185757ce08311c93fb5a680d6ec8beb582f35185a6bb7fc86ede3b4df9c4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000656.json b/manifests/batches/mathlib/000656.json
index 1bccb65c517e7334522d2413bafd168cad24789d..f2d071073c72c28fc85e82421901949629a5e255 100644
--- a/manifests/batches/mathlib/000656.json
+++ b/manifests/batches/mathlib/000656.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000656",
   "batch_fingerprint": "7db98e7b8dc5b0d9bc9f0af9cf3cc89e52a558d5f62b5d689faeb605cb215a39",
   "evidence": {
@@ -17,22 +16,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000656-0000-0d08d42a8ee74462.parquet",
-      "sha256": "0d08d42a8ee7446210bcfcf02337083caf470a71608ffbcec4425dd38d5a7fbb",
-      "bytes": 134277,
-      "rows": 16,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000656-0000-91047c84ae613041.parquet",
-      "sha256": "91047c84ae6130411645ad18c4e581dae117399bf8f85d55cec2417f363506a0",
-      "bytes": 62955,
-      "rows": 3,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GradedObject.Monoidal.tensorHom_def",
     "mathlib:CategoryTheory.GradedObject.Monoidal.tensorObj_ext",
@@ -54,5 +38,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Monoidal.lean\",null,null,\"CategoryTheory.GradedObject.Monoidal.tensor_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Monoidal.lean\",null,null,\"CategoryTheory.GradedObject.Monoidal.\u03b9_tensorHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Monoidal.lean\",null,null,\"CategoryTheory.GradedObject.Monoidal.\u03b9_tensorObjDesc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134277,
+      "path": "data/train/pe1/mathlib-000656-0000-0d08d42a8ee74462.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0d08d42a8ee7446210bcfcf02337083caf470a71608ffbcec4425dd38d5a7fbb"
+    },
+    {
+      "bytes": 62955,
+      "path": "data/internal_test/pe1/mathlib-000656-0000-91047c84ae613041.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "91047c84ae6130411645ad18c4e581dae117399bf8f85d55cec2417f363506a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000657.json b/manifests/batches/mathlib/000657.json
index bc88ad91fe85c8424cb82d509292bfa1bb8178fe..fdf263c37775f9a0eaf201fb083c5d90d5bd6fd8 100644
--- a/manifests/batches/mathlib/000657.json
+++ b/manifests/batches/mathlib/000657.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000657",
   "batch_fingerprint": "5feb5e2f420490fc2e1ca3c633e59380c3edc63df81d33c2ad0ba960700c7bca",
   "evidence": {
@@ -485,15 +484,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000657-0000-fe5695da2729b5a6.parquet",
-      "sha256": "fe5695da2729b5a60f0fd7dc334a9d026c69e407c83c004ed15e9dcdac4725c3",
-      "bytes": 53068,
-      "rows": 6,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GradedObject.singleObjApplyIsoOfEq_inv_single_map",
     "mathlib:CategoryTheory.GradedObject.singleObjApplyIso_inv_single_map",
@@ -505,5 +496,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Single.lean\",null,null,\"CategoryTheory.GradedObject.singleObjApplyIso_inv_single_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Single.lean\",null,null,\"CategoryTheory.GradedObject.single_map_singleObjApplyIsoOfEq_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Single.lean\",null,null,\"CategoryTheory.GradedObject.single_map_singleObjApplyIso_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53068,
+      "path": "data/train/pbc/mathlib-000657-0000-fe5695da2729b5a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fe5695da2729b5a60f0fd7dc334a9d026c69e407c83c004ed15e9dcdac4725c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000658.json b/manifests/batches/mathlib/000658.json
index b5e14a799dee7235e1be78df240d0d927dc54e82..1da1e272f8dba52c32d761708e94294608941c49 100644
--- a/manifests/batches/mathlib/000658.json
+++ b/manifests/batches/mathlib/000658.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000658",
   "batch_fingerprint": "debfbfab8ef314d31677fef5e84f841847d15fa5b78b7e039bcd36f257b15401",
   "evidence": {
@@ -490,29 +489,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000658-0000-f8478ad73ff600fa.parquet",
-      "sha256": "f8478ad73ff600fa620975f5bf891feea151dbcf034e0eb3dbbe4a71e3b97ba4",
-      "bytes": 128566,
-      "rows": 10,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/dev/mathlib-000658-0000-0835ce6cab97e94c.parquet",
-      "sha256": "0835ce6cab97e94c7a36309a1dd0cade33b56bd632088416d4deb52d0fd49d65",
-      "bytes": 38421,
-      "rows": 1,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000658-0000-231dab48d0431627.parquet",
-      "sha256": "231dab48d043162765d544db49521ece3f7a9e79b850f3f7a0e7a52363a77c8e",
-      "bytes": 54749,
-      "rows": 1,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GradedObject.TriangleIndexData.r_zero",
     "mathlib:CategoryTheory.GradedObject.mapBifunctorLeftUnitorCofan_inj",
@@ -532,5 +509,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Unitor.lean\",null,null,\"CategoryTheory.GradedObject.\u03b9_mapBifunctorLeftUnitor_hom_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GradedObject/Unitor.lean\",null,null,\"CategoryTheory.GradedObject.\u03b9_mapBifunctorRightUnitor_hom_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Grothendieck.lean\",null,null,\"CategoryTheory.Grothendieck.id_fiber'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128566,
+      "path": "data/train/p50/mathlib-000658-0000-f8478ad73ff600fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f8478ad73ff600fa620975f5bf891feea151dbcf034e0eb3dbbe4a71e3b97ba4"
+    },
+    {
+      "bytes": 38421,
+      "path": "data/dev/p50/mathlib-000658-0000-0835ce6cab97e94c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0835ce6cab97e94c7a36309a1dd0cade33b56bd632088416d4deb52d0fd49d65"
+    },
+    {
+      "bytes": 54749,
+      "path": "data/internal_test/p50/mathlib-000658-0000-231dab48d0431627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "231dab48d043162765d544db49521ece3f7a9e79b850f3f7a0e7a52363a77c8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000659.json b/manifests/batches/mathlib/000659.json
index 5e10ca0654efff6fd0fe669fa736e874f8022573..0490e9cce18f754ea9618c699de10a1a983b1ffc 100644
--- a/manifests/batches/mathlib/000659.json
+++ b/manifests/batches/mathlib/000659.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000659",
   "batch_fingerprint": "76e7ea697979f7361fbf102a5120832fe583c01cb90fdf051136c408145cdabe",
   "evidence": {
@@ -149,7 +148,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000660.json b/manifests/batches/mathlib/000660.json
index 0e9460786a0d7cdb07eb3c37a5f609e7fc852e27..f658065942a60befc3fe7c43855ca05b2ff9fc73 100644
--- a/manifests/batches/mathlib/000660.json
+++ b/manifests/batches/mathlib/000660.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000660",
   "batch_fingerprint": "c9f1fd210ba23bb826a94551ed531ea142d169eccc01972023e90b13a0fe8c41",
   "evidence": {
@@ -2387,22 +2386,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000660-0000-b5b27613763bc5a2.parquet",
-      "sha256": "b5b27613763bc5a27a49fd9d61db85115c4e15823f6c737f5557654ac6cbb98c",
-      "bytes": 181441,
-      "rows": 57,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000660-0000-8ae1a17ee1369c00.parquet",
-      "sha256": "8ae1a17ee1369c00932a648e91c9c55623182bd38c1b5b274ee689369e255441",
-      "bytes": 52626,
-      "rows": 7,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Groupoid.Free.congr_reverse_comp",
     "mathlib:CategoryTheory.Groupoid.Free.freeGroupoidFunctor_comp",
@@ -2460,5 +2444,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean\",null,null,\"CategoryTheory.Subgroupoid.mem_top_objs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean\",null,null,\"CategoryTheory.Subgroupoid.obj_surjective_of_im_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean\",null,null,\"CategoryTheory.Subgroupoid.subset_generated\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181441,
+      "path": "data/train/p8e/mathlib-000660-0000-b5b27613763bc5a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "b5b27613763bc5a27a49fd9d61db85115c4e15823f6c737f5557654ac6cbb98c"
+    },
+    {
+      "bytes": 52626,
+      "path": "data/internal_test/p8e/mathlib-000660-0000-8ae1a17ee1369c00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8ae1a17ee1369c00932a648e91c9c55623182bd38c1b5b274ee689369e255441"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000661.json b/manifests/batches/mathlib/000661.json
index bdb029e2527ae4ec3c2f57e5b1cfb7c79d47bb37..485665a5d221e633f421aec96048e185c051b81b 100644
--- a/manifests/batches/mathlib/000661.json
+++ b/manifests/batches/mathlib/000661.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000661",
   "batch_fingerprint": "d1ac75867af1a5f1f7993cd99c95ce1fb605d6f2c49f148f482f862d07cd36ab",
   "evidence": {
@@ -339,7 +338,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000662.json b/manifests/batches/mathlib/000662.json
index b1ae86a50de7fee57de0c6fc4a93eab06e2a2ed0..9a2737f47f73db5ef8cd339e0501d028a75f4c94 100644
--- a/manifests/batches/mathlib/000662.json
+++ b/manifests/batches/mathlib/000662.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000662",
   "batch_fingerprint": "7b698c8767430715476242562b8f09a0158b2cbcda1599e13da8c510f7f5a163",
   "evidence": {
@@ -1030,15 +1029,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000662-0000-0d0f49b36bb37bd6.parquet",
-      "sha256": "0d0f49b36bb37bd61d6ca08d18a31d16ddaf9db59b74056ddc092c54dc0121fe",
-      "bytes": 48083,
-      "rows": 2,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Idempotents.idem_of_id_sub_idem",
     "mathlib:CategoryTheory.TwoSquare.GuitartExact.vComp'_iff_of_equivalences"
@@ -1046,5 +1037,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/GuitartExact/VerticalComposition.lean\",null,null,\"CategoryTheory.TwoSquare.GuitartExact.vComp'_iff_of_equivalences\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Idempotents/Basic.lean\",null,null,\"CategoryTheory.Idempotents.idem_of_id_sub_idem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48083,
+      "path": "data/train/p16/mathlib-000662-0000-0d0f49b36bb37bd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0d0f49b36bb37bd61d6ca08d18a31d16ddaf9db59b74056ddc092c54dc0121fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000663.json b/manifests/batches/mathlib/000663.json
index bd29a7e099083e4806949b5f80904d7a8d7d3062..98c081b7978bc67ba8ac553905184e672d3ef720 100644
--- a/manifests/batches/mathlib/000663.json
+++ b/manifests/batches/mathlib/000663.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000663",
   "batch_fingerprint": "a63879c6048076aea58a08edcce81c824db5373e07dccb330786de5e115e6825",
   "evidence": {
@@ -369,7 +368,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000664.json b/manifests/batches/mathlib/000664.json
index 53dc1ad816b3005e3a6103dd60e2b179c807ea02..a57b1ce800b758953708ebf327cb71648ec67601 100644
--- a/manifests/batches/mathlib/000664.json
+++ b/manifests/batches/mathlib/000664.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000664",
   "batch_fingerprint": "c3ca4cc2db85d2160446e8446c6aa814c82224d3e47847ec7418a8e3e833d121",
   "evidence": {
@@ -270,7 +269,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000665.json b/manifests/batches/mathlib/000665.json
index 1029416a4bdcb9aff7dfa5712d12e44c5c6a5868..5ee9679d6128797e85419fe018b45b3a0ed24268 100644
--- a/manifests/batches/mathlib/000665.json
+++ b/manifests/batches/mathlib/000665.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000665",
   "batch_fingerprint": "e203bc575a3b538a8f5f791015600b211ab046406e6a2c3d07a5bc3236e74f5d",
   "evidence": {
@@ -314,22 +313,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000665-0000-9d2ad38893b1866a.parquet",
-      "sha256": "9d2ad38893b1866a2734c4774d2acfae00f1e1499d04fc91f2d35146488e9bf2",
-      "bytes": 72848,
-      "rows": 18,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/dev/mathlib-000665-0000-258410b3ceeb9dcb.parquet",
-      "sha256": "258410b3ceeb9dcb1ee73e5804ce7039f2ca91514c3bf8cd563d5a66d3758f35",
-      "bytes": 25673,
-      "rows": 1,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Idempotents.Karoubi.comp_p",
     "mathlib:CategoryTheory.Idempotents.Karoubi.comp_proof",
@@ -357,5 +341,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Idempotents/Karoubi.lean\",null,null,\"CategoryTheory.Idempotents.Karoubi.p_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Idempotents/KaroubiKaroubi.lean\",null,null,\"CategoryTheory.Idempotents.KaroubiKaroubi.idem_f\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Idempotents/KaroubiKaroubi.lean\",null,null,\"CategoryTheory.Idempotents.KaroubiKaroubi.p_comm_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72848,
+      "path": "data/train/pa5/mathlib-000665-0000-9d2ad38893b1866a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9d2ad38893b1866a2734c4774d2acfae00f1e1499d04fc91f2d35146488e9bf2"
+    },
+    {
+      "bytes": 25673,
+      "path": "data/dev/pa5/mathlib-000665-0000-258410b3ceeb9dcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "258410b3ceeb9dcb1ee73e5804ce7039f2ca91514c3bf8cd563d5a66d3758f35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000666.json b/manifests/batches/mathlib/000666.json
index 13f4eafc96bf390a244b4e82ddbe74b216f7d403..99b31e495a1e5fe4d1a06dcca4ca742695a1bf7e 100644
--- a/manifests/batches/mathlib/000666.json
+++ b/manifests/batches/mathlib/000666.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000666",
   "batch_fingerprint": "7dfffb9c898b2f1b346783df56614579e7bec0eb0cd0ed73bbf3520bb0cada45",
   "evidence": {
@@ -1936,22 +1935,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000666-0000-c0a320f39f87d797.parquet",
-      "sha256": "c0a320f39f87d7979e01e1350eddfceb883bbc72f66f74409ad8f791449ea05c",
-      "bytes": 204197,
-      "rows": 65,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000666-0000-40eecb47cb7aeabd.parquet",
-      "sha256": "40eecb47cb7aeabd44292507804857076544db3e636b32fd11219312cc5f4b91",
-      "bytes": 58409,
-      "rows": 10,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.mapIso_trans",
     "mathlib:CategoryTheory.Functor.map_hom_inv",
@@ -2041,5 +2025,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Iso.lean\",null,null,\"CategoryTheory.eq_of_inv_eq_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Iso.lean\",null,null,\"CategoryTheory.isIso_of_comp_hom_eq_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Iso.lean\",null,null,\"CategoryTheory.isIso_of_hom_comp_eq_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204197,
+      "path": "data/train/p9f/mathlib-000666-0000-c0a320f39f87d797.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "c0a320f39f87d7979e01e1350eddfceb883bbc72f66f74409ad8f791449ea05c"
+    },
+    {
+      "bytes": 58409,
+      "path": "data/internal_test/p9f/mathlib-000666-0000-40eecb47cb7aeabd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "40eecb47cb7aeabd44292507804857076544db3e636b32fd11219312cc5f4b91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000667.json b/manifests/batches/mathlib/000667.json
index 34197e80e18054a697e7e5b6e31b51503e3c48f9..42553f625928bb4f13426ed7c77f38f675b57281 100644
--- a/manifests/batches/mathlib/000667.json
+++ b/manifests/batches/mathlib/000667.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000667",
   "batch_fingerprint": "f636761fc4137478bf10b39fe0eec4960d653d7f1111fa9ef93aa42ab04e409a",
   "evidence": {
@@ -108,22 +107,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000667-0000-0ea00aa04498dfc2.parquet",
-      "sha256": "0ea00aa04498dfc2bb7fa2888ccaa8ab2bc4ce432b392e57e7d75ede4e12d158",
-      "bytes": 63372,
-      "rows": 4,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/mathlib-000667-0000-11ce27b6df01aa9b.parquet",
-      "sha256": "11ce27b6df01aa9b204048fe063b171c634c4b30c7a4cfe98c7ccbd90864e1e4",
-      "bytes": 65348,
-      "rows": 4,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CommSq.left_adjoint",
     "mathlib:CategoryTheory.CommSq.left_adjoint_hasLift_iff",
@@ -135,5 +119,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/LiftingProperties/Adjunction.lean\",null,null,\"CategoryTheory.CommSq.left_adjoint_hasLift_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/LiftingProperties/Adjunction.lean\",null,null,\"CategoryTheory.CommSq.right_adjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/LiftingProperties/Adjunction.lean\",null,null,\"CategoryTheory.CommSq.right_adjoint_hasLift_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63372,
+      "path": "data/train/pce/mathlib-000667-0000-0ea00aa04498dfc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0ea00aa04498dfc2bb7fa2888ccaa8ab2bc4ce432b392e57e7d75ede4e12d158"
+    },
+    {
+      "bytes": 65348,
+      "path": "data/internal_test/pce/mathlib-000667-0000-11ce27b6df01aa9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "11ce27b6df01aa9b204048fe063b171c634c4b30c7a4cfe98c7ccbd90864e1e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000668.json b/manifests/batches/mathlib/000668.json
index cdc2454432c46dc0401735cae2f34b668e67e2c5..745fb725ac87efaed9bb0a7010a8597d868a59d0 100644
--- a/manifests/batches/mathlib/000668.json
+++ b/manifests/batches/mathlib/000668.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000668",
   "batch_fingerprint": "cb7339321dc604e15ded86844bc63f99283025064ab454db41ebf678bb59a3e6",
   "evidence": {
@@ -151,22 +150,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000668-0000-4869711afd3cac87.parquet",
-      "sha256": "4869711afd3cac870c48c3f6567eaabf4374c5fefac52cf6c54cdf92d12176fd",
-      "bytes": 193086,
-      "rows": 13,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/mathlib-000668-0000-9b2e62ef7dcc540a.parquet",
-      "sha256": "9b2e62ef7dcc540a05c087ee2b311d43e05508c1e357b9a2fba81c66b2505d4b",
-      "bytes": 50572,
-      "rows": 2,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.HasLiftingProperty.iff_of_arrow_iso_left",
     "mathlib:CategoryTheory.HasLiftingProperty.of_arrow_iso_left",
@@ -182,5 +166,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/LiftingProperties/Basic.lean\",null,null,\"CategoryTheory.HasLiftingProperty.op\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/ColimitLimit.lean\",null,null,\"CategoryTheory.Limits.\u03b9_colimitLimitToLimitColimit_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/ColimitLimit.lean\",null,null,\"CategoryTheory.Limits.\u03b9_colimitLimitToLimitColimit_\u03c0_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193086,
+      "path": "data/train/p80/mathlib-000668-0000-4869711afd3cac87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4869711afd3cac870c48c3f6567eaabf4374c5fefac52cf6c54cdf92d12176fd"
+    },
+    {
+      "bytes": 50572,
+      "path": "data/internal_test/p80/mathlib-000668-0000-9b2e62ef7dcc540a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9b2e62ef7dcc540a05c087ee2b311d43e05508c1e357b9a2fba81c66b2505d4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000669.json b/manifests/batches/mathlib/000669.json
index 7531bd1d7e28953c3ada6d74122ff269f01e93d1..f3b509e691fdd41c83ae0d089f82b8f7115261f0 100644
--- a/manifests/batches/mathlib/000669.json
+++ b/manifests/batches/mathlib/000669.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000669",
   "batch_fingerprint": "c6bb087c67f906853ca464406442c7bf68bf691ab9d96e5918bbd2bf98725877",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000669-0000-94560b57f326b734.parquet",
-      "sha256": "94560b57f326b7346f1329ca7224c2cbece266750f8c96ec94915f9adccf0725",
-      "bytes": 202301,
-      "rows": 19,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Concrete.from_union_surjective_of_isColimit",
     "mathlib:CategoryTheory.Limits.Concrete.isColimit_exists_of_rep_eq",
@@ -194,5 +185,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/ConcreteCategory.lean\",null,null,\"CategoryTheory.Limits.Concrete.isColimit_exists_rep\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/ConcreteCategory.lean\",null,null,\"CategoryTheory.Limits.Concrete.isColimit_rep_eq_of_exists\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/ConcreteCategory.lean\",null,null,\"CategoryTheory.Limits.Concrete.small_sections_of_hasLimit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202301,
+      "path": "data/train/p30/mathlib-000669-0000-94560b57f326b734.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "94560b57f326b7346f1329ca7224c2cbece266750f8c96ec94915f9adccf0725"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000670.json b/manifests/batches/mathlib/000670.json
index 8399d12f399c65bd88add663ca64e5ea42f81c40..a8b41a8d6b2acfca7728228085466fa270dbe353 100644
--- a/manifests/batches/mathlib/000670.json
+++ b/manifests/batches/mathlib/000670.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000670",
   "batch_fingerprint": "c1bb04984d03da17af23cd996529644f734f5447fbeb128a98418f5cf51b69ab",
   "evidence": {
@@ -514,7 +513,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000671.json b/manifests/batches/mathlib/000671.json
index dd1b551d4002be27ba55cd6d9d5875fb90cc647c..b668a2e02722ff6b597e44d8e4b4272ddc9d6026 100644
--- a/manifests/batches/mathlib/000671.json
+++ b/manifests/batches/mathlib/000671.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000671",
   "batch_fingerprint": "cc145b58bd057a07c18e9d6712752c9ec576ba83b4a4a5c9e952025fd600064d",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000671-0000-abbacd1dda5038db.parquet",
-      "sha256": "abbacd1dda5038db68d11fbcb444cdf6ff72e398f67c29875cc54c88033076c1",
-      "bytes": 97142,
-      "rows": 12,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.preserves_epi_of_preservesColimit",
     "mathlib:CategoryTheory.preserves_mono_of_preservesLimit",
@@ -60,5 +51,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/EpiMono.lean\",null,null,\"CategoryTheory.preserves_mono_of_preservesLimit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/EpiMono.lean\",null,null,\"CategoryTheory.reflects_epi_of_reflectsColimit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/EpiMono.lean\",null,null,\"CategoryTheory.reflects_mono_of_reflectsLimit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97142,
+      "path": "data/train/p27/mathlib-000671-0000-abbacd1dda5038db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "abbacd1dda5038db68d11fbcb444cdf6ff72e398f67c29875cc54c88033076c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000672.json b/manifests/batches/mathlib/000672.json
index e1866fb4af4f29f17e38f04cbeff1d641c09d456..071a991fdec689c6ae131a466b76c61ee63db695 100644
--- a/manifests/batches/mathlib/000672.json
+++ b/manifests/batches/mathlib/000672.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000672",
   "batch_fingerprint": "07545c8cd2240728b913d21303688adeb293519b2f28bfea61290815c45c5b94",
   "evidence": {
@@ -230,7 +229,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000673.json b/manifests/batches/mathlib/000673.json
index cb33388604ecf490e8e057fc82285fbb37bcb4a2..0586e3c7f44db33408ebecc89054b557d9851253 100644
--- a/manifests/batches/mathlib/000673.json
+++ b/manifests/batches/mathlib/000673.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000673",
   "batch_fingerprint": "64ecee4b99329dbec93efc38f74f0cc8a4acd5279f90ac3642b5b6234791fd54",
   "evidence": {
@@ -311,15 +310,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000673-0000-269aa9732233e85d.parquet",
-      "sha256": "269aa9732233e85d235a42fbbdc8e2b106654556d59dcebe1375d363d5e39b03",
-      "bytes": 65885,
-      "rows": 8,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.hasFiniteCoproducts_of_has_binary_and_initial",
     "mathlib:CategoryTheory.hasFiniteProducts_of_has_binary_and_terminal"
@@ -327,5 +318,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/FiniteProductsOfBinaryProducts.lean\",null,null,\"CategoryTheory.hasFiniteCoproducts_of_has_binary_and_initial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/FiniteProductsOfBinaryProducts.lean\",null,null,\"CategoryTheory.hasFiniteProducts_of_has_binary_and_terminal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65885,
+      "path": "data/train/pe6/mathlib-000673-0000-269aa9732233e85d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "269aa9732233e85d235a42fbbdc8e2b106654556d59dcebe1375d363d5e39b03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000674.json b/manifests/batches/mathlib/000674.json
index 45635a2b88cd09d02ed44f1620ad7d47e9b7b477..274e6a95e3a4cc7d1517f2e9a2e26d43e0ce8188 100644
--- a/manifests/batches/mathlib/000674.json
+++ b/manifests/batches/mathlib/000674.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000674",
   "batch_fingerprint": "941798c1e78ae97520293f7dd7ea95e6871e8dcb64756f0beb762065befa8ad8",
   "evidence": {
@@ -106,35 +105,36 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original",
+    "mathlib:CategoryTheory.Over.over_hasTerminal"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/Over/Connected.lean\",null,null,\"CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/Over/Products.lean\",null,null,\"CategoryTheory.Over.over_hasTerminal\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000674-0000-939bbb7bf9f71678.parquet",
-      "sha256": "939bbb7bf9f71678c0b9bc727822dc940c7c0276b7644f77e48353d84bc54903",
       "bytes": 30930,
+      "path": "data/train/p10/mathlib-000674-0000-939bbb7bf9f71678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
+      "sha256": "939bbb7bf9f71678c0b9bc727822dc940c7c0276b7644f77e48353d84bc54903"
     },
     {
-      "path": "data/internal_test/mathlib-000674-0000-e1c5d20b1430e174.parquet",
-      "sha256": "e1c5d20b1430e1742b9a631871bc77502aaaa1a299cd50e9157c9216c6fcc61d",
       "bytes": 308889,
+      "path": "data/internal_test/p10/mathlib-000674-0000-e1c5d20b1430e174.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
+      "sha256": "e1c5d20b1430e1742b9a631871bc77502aaaa1a299cd50e9157c9216c6fcc61d"
     },
     {
-      "path": "data/internal_test/mathlib-000674-0001-602b8b6a6b48f07e.parquet",
-      "sha256": "602b8b6a6b48f07ebc00db5a1c602fcf2afe8c6ffb070e2557fe4ed64b41d761",
       "bytes": 228330,
+      "path": "data/internal_test/p10/mathlib-000674-0001-602b8b6a6b48f07e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
+      "sha256": "602b8b6a6b48f07ebc00db5a1c602fcf2afe8c6ffb070e2557fe4ed64b41d761"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original",
-    "mathlib:CategoryTheory.Over.over_hasTerminal"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/Over/Connected.lean\",null,null,\"CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/Over/Products.lean\",null,null,\"CategoryTheory.Over.over_hasTerminal\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000675.json b/manifests/batches/mathlib/000675.json
index 608010b0b20b8567cd5c166b07ee608a2bbf04f5..8e98caaca34edea7bfc584c421a2e8d2dbde753b 100644
--- a/manifests/batches/mathlib/000675.json
+++ b/manifests/batches/mathlib/000675.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000675",
   "batch_fingerprint": "f855738b8ad35cadeaf3b0569c7abad6fdf2fa034895d81f4a27393a8058fa9c",
   "evidence": {
@@ -485,7 +484,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000676.json b/manifests/batches/mathlib/000676.json
index 9744801230ce1c7bcfa0931032d17ac7b5191cc0..3f0edc096d1a9baec565bba9a958560b035d2f6a 100644
--- a/manifests/batches/mathlib/000676.json
+++ b/manifests/batches/mathlib/000676.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000676",
   "batch_fingerprint": "33f3123534d3d23d29e9d16c3c06adb667313e299d04fd6bdd6a8527f4815a48",
   "evidence": {
@@ -216,22 +215,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000676-0000-8838254166bf697a.parquet",
-      "sha256": "8838254166bf697af4c59f89bd7fe3a101f35c09a19fdd1b8d9b35f80e676957",
-      "bytes": 73169,
-      "rows": 15,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/mathlib-000676-0000-1ee9b6909fcece11.parquet",
-      "sha256": "1ee9b6909fcece11e54dfa53db4f0f830367fda662e7f9b9efd300d99784f896",
-      "bytes": 47982,
-      "rows": 5,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.inl_pushoutZeroZeroIso_hom",
     "mathlib:CategoryTheory.Limits.inl_pushoutZeroZeroIso_inv",
@@ -259,5 +243,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean\",null,null,\"CategoryTheory.Limits.pullbackZeroZeroIso_inv_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean\",null,null,\"CategoryTheory.Limits.pullbackZeroZeroIso_inv_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean\",null,null,\"CategoryTheory.Limits.zeroProdIso_inv_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73169,
+      "path": "data/train/pce/mathlib-000676-0000-8838254166bf697a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8838254166bf697af4c59f89bd7fe3a101f35c09a19fdd1b8d9b35f80e676957"
+    },
+    {
+      "bytes": 47982,
+      "path": "data/internal_test/pce/mathlib-000676-0000-1ee9b6909fcece11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1ee9b6909fcece11e54dfa53db4f0f830367fda662e7f9b9efd300d99784f896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000677.json b/manifests/batches/mathlib/000677.json
index b1617a197013a06408fd6c35ee0cd1d8edf29da3..3a874394e15741ff245d37fc9e2b35b7dd4f1fdf 100644
--- a/manifests/batches/mathlib/000677.json
+++ b/manifests/batches/mathlib/000677.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000677",
   "batch_fingerprint": "e0d2dbc3326a821c4065d0af04b264439f9622c70774acae8fc25369d5e57e9f",
   "evidence": {
@@ -717,15 +716,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000677-0000-2edf3de3d042c8b1.parquet",
-      "sha256": "2edf3de3d042c8b190ac9350c5cad0a037b43196851148c56cf9794aff5fa97a",
-      "bytes": 94069,
-      "rows": 7,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_lift_mapCone",
     "mathlib:CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_\u03c0_liftedConeElement"
@@ -733,5 +724,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Elements.lean\",null,null,\"CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_lift_mapCone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Elements.lean\",null,null,\"CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_\u03c0_liftedConeElement\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94069,
+      "path": "data/train/pfc/mathlib-000677-0000-2edf3de3d042c8b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2edf3de3d042c8b190ac9350c5cad0a037b43196851148c56cf9794aff5fa97a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000678.json b/manifests/batches/mathlib/000678.json
index f03d70145dfec3b8da65b00b304dc3c024c7f37a..dc5e4ea3602bc622eccbd24bfd8ab5072b4cd46a 100644
--- a/manifests/batches/mathlib/000678.json
+++ b/manifests/batches/mathlib/000678.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000678",
   "batch_fingerprint": "d814bc8b6b90eae0ba9c8b4a636c42e25bfe0c9c5987fb2dfb2cbff86ed886fb",
   "evidence": {
@@ -415,7 +414,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000679.json b/manifests/batches/mathlib/000679.json
index 0bacc25300232989332164dbd372b6351239e42e..02b019f81c4cf3efbb6aa21b68404892401d6f4a 100644
--- a/manifests/batches/mathlib/000679.json
+++ b/manifests/batches/mathlib/000679.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000679",
   "batch_fingerprint": "db0e79b1dc0d707eaf4f649df8ff1a2500393df3c67e8ddbe7725ed8093bbe48",
   "evidence": {
@@ -876,7 +875,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000680.json b/manifests/batches/mathlib/000680.json
index 1a24940bea95f1adb2268567fa4d3207d720e7e8..9b993a47ab2e3b59ce67ff50cee80eff9b678c27 100644
--- a/manifests/batches/mathlib/000680.json
+++ b/manifests/batches/mathlib/000680.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000680",
   "batch_fingerprint": "659ae1de974637f83591b7be173ab5b6edc9d0954818406a1453b5f0772f9797",
   "evidence": {
@@ -1510,37 +1509,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CategoryTheory.Functor.final_of_final_comp",
+    "mathlib:CategoryTheory.Functor.initial_of_initial_comp",
+    "mathlib:CategoryTheory.Limits.parallelPair_initial_mk"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final.lean\",null,null,\"CategoryTheory.Functor.final_of_final_comp\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final.lean\",null,null,\"CategoryTheory.Functor.initial_of_initial_comp\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final/ParallelPair.lean\",null,null,\"CategoryTheory.Limits.parallelPair_initial_mk\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000680-0000-f196d8ec726a431d.parquet",
-      "sha256": "f196d8ec726a431d8fdb79915c11eb14c3e5d0afdc27002a1c20e00d1ccb269a",
       "bytes": 58687,
+      "path": "data/train/p6e/mathlib-000680-0000-f196d8ec726a431d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
+      "sha256": "f196d8ec726a431d8fdb79915c11eb14c3e5d0afdc27002a1c20e00d1ccb269a"
     },
     {
-      "path": "data/dev/mathlib-000680-0000-daa52063e553dee7.parquet",
-      "sha256": "daa52063e553dee7f64144b3063ce33de9eb00f05ae40ec333d500a953056b45",
       "bytes": 122760,
+      "path": "data/dev/p6e/mathlib-000680-0000-daa52063e553dee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
+      "sha256": "daa52063e553dee7f64144b3063ce33de9eb00f05ae40ec333d500a953056b45"
     },
     {
-      "path": "data/internal_test/mathlib-000680-0000-597c6e92cd2497eb.parquet",
-      "sha256": "597c6e92cd2497eb056f538b934707dab40db84e60b898c6af9555e9ffbe330b",
       "bytes": 61584,
+      "path": "data/internal_test/p6e/mathlib-000680-0000-597c6e92cd2497eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
+      "sha256": "597c6e92cd2497eb056f538b934707dab40db84e60b898c6af9555e9ffbe330b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CategoryTheory.Functor.final_of_final_comp",
-    "mathlib:CategoryTheory.Functor.initial_of_initial_comp",
-    "mathlib:CategoryTheory.Limits.parallelPair_initial_mk"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final.lean\",null,null,\"CategoryTheory.Functor.final_of_final_comp\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final.lean\",null,null,\"CategoryTheory.Functor.initial_of_initial_comp\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Final/ParallelPair.lean\",null,null,\"CategoryTheory.Limits.parallelPair_initial_mk\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000681.json b/manifests/batches/mathlib/000681.json
index ec97ae6ba77ea846f2c2e20f906e0fcade931edd..8fdfc7040dacad778a2abf9c9fcfd98091003cae 100644
--- a/manifests/batches/mathlib/000681.json
+++ b/manifests/batches/mathlib/000681.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000681",
   "batch_fingerprint": "2c7ef7fa8851bef2be45205fb47c19a24bfe9779a7de234b1728f382d1373b74",
   "evidence": {
@@ -952,15 +951,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000681-0000-ce80804f27aec9ec.parquet",
-      "sha256": "ce80804f27aec9ec53079dab7d2aa7ca16d1ee7ea079642ab51de8428738e480",
-      "bytes": 81362,
-      "rows": 18,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.FinallySmall.exists_small_weakly_terminal_set",
     "mathlib:CategoryTheory.InitiallySmall.exists_small_weakly_initial_set",
@@ -976,5 +967,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/FinallySmall.lean\",null,null,\"CategoryTheory.finallySmall_of_small_weakly_terminal_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/FinallySmall.lean\",null,null,\"CategoryTheory.initiallySmall_iff_exists_small_weakly_initial_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/FinallySmall.lean\",null,null,\"CategoryTheory.initiallySmall_of_small_weakly_initial_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81362,
+      "path": "data/train/p1c/mathlib-000681-0000-ce80804f27aec9ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ce80804f27aec9ec53079dab7d2aa7ca16d1ee7ea079642ab51de8428738e480"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000682.json b/manifests/batches/mathlib/000682.json
index f3dd9ac785fe286c9bdfa174e296402fbc624c69..61b023fa66cce6c7c1755e4de15cdfddf78bbaad 100644
--- a/manifests/batches/mathlib/000682.json
+++ b/manifests/batches/mathlib/000682.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000682",
   "batch_fingerprint": "abeb79e19a2a633f3a9e6f8cca472b7fd746a12fae577a7c32144c4a083fbc9b",
   "evidence": {
@@ -522,7 +521,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000683.json b/manifests/batches/mathlib/000683.json
index eeef56bb17283850c66c2eccdced3012a1cdcdab..c95b78a553c36d3f795b27c6f7ac68e0085c64f2 100644
--- a/manifests/batches/mathlib/000683.json
+++ b/manifests/batches/mathlib/000683.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000683",
   "batch_fingerprint": "0335cf4910117afc38c94a4c130d451400317cf94e0c610330bb757046d3338a",
   "evidence": {
@@ -1089,29 +1088,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000683-0000-fa49594445fb40b2.parquet",
-      "sha256": "fa49594445fb40b2d1962c4259cf76897f7f05efbe4b8a40231e6fad2d39ff50",
-      "bytes": 425756,
-      "rows": 85,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/dev/mathlib-000683-0000-9856a1e0b75204e3.parquet",
-      "sha256": "9856a1e0b75204e3fd007645d4445ad8cb2d8145ff72f1334ad83807d6c0f384",
-      "bytes": 55444,
-      "rows": 3,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000683-0000-320fc1ea5f119d6e.parquet",
-      "sha256": "320fc1ea5f119d6e1a36ed2059132b9d3ea22992175cb1c5dd89920d78684769",
-      "bytes": 82684,
-      "rows": 11,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.HasColimit.isoOfEquivalence_hom_\u03c0",
     "mathlib:CategoryTheory.Limits.HasColimit.isoOfEquivalence_inv_\u03c0",
@@ -1201,5 +1178,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/HasLimits.lean\",null,null,\"CategoryTheory.Limits.limit.pre_post\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/HasLimits.lean\",null,null,\"CategoryTheory.Limits.limit.pre_pre\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/HasLimits.lean\",null,null,\"CategoryTheory.Limits.limit.pre_\u03c0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425756,
+      "path": "data/train/p02/mathlib-000683-0000-fa49594445fb40b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "fa49594445fb40b2d1962c4259cf76897f7f05efbe4b8a40231e6fad2d39ff50"
+    },
+    {
+      "bytes": 55444,
+      "path": "data/dev/p02/mathlib-000683-0000-9856a1e0b75204e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9856a1e0b75204e3fd007645d4445ad8cb2d8145ff72f1334ad83807d6c0f384"
+    },
+    {
+      "bytes": 82684,
+      "path": "data/internal_test/p02/mathlib-000683-0000-320fc1ea5f119d6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "320fc1ea5f119d6e1a36ed2059132b9d3ea22992175cb1c5dd89920d78684769"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000684.json b/manifests/batches/mathlib/000684.json
index 8b747aa061088d3a8e6e895aa4b8841438a7602c..0e01f35896f7454e0a859b0ec3ad518ffe589953 100644
--- a/manifests/batches/mathlib/000684.json
+++ b/manifests/batches/mathlib/000684.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000684",
   "batch_fingerprint": "80590f19aa5ec6a420c009f4f9ae47bcfc95a7eeb87ce66460d0ca529879d56d",
   "evidence": {
@@ -172,22 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000684-0000-d3129400ed6fd6b1.parquet",
-      "sha256": "d3129400ed6fd6b19652e8c5601c2e4384a92ac65933cd3c899dd33383ec48a9",
-      "bytes": 265249,
-      "rows": 30,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000684-0000-3fa6f06f5e040fca.parquet",
-      "sha256": "3fa6f06f5e040fca6868c4412ed4ab22ad083781b095ff9b54788d36b5818c5c",
-      "bytes": 89713,
-      "rows": 6,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.colimitCoyonedaHomIsoLimit'_\u03c0_apply",
     "mathlib:CategoryTheory.Limits.colimitCoyonedaHomIsoLimit_\u03c0_apply",
@@ -221,5 +205,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/IndYoneda.lean\",null,null,\"CategoryTheory.Limits.limitRightOpIsoOpColimit_hom_comp_\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/IndYoneda.lean\",null,null,\"CategoryTheory.Limits.limitRightOpIsoOpColimit_inv_comp_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Indization/IndObject.lean\",null,null,\"CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265249,
+      "path": "data/train/p26/mathlib-000684-0000-d3129400ed6fd6b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d3129400ed6fd6b19652e8c5601c2e4384a92ac65933cd3c899dd33383ec48a9"
+    },
+    {
+      "bytes": 89713,
+      "path": "data/internal_test/p26/mathlib-000684-0000-3fa6f06f5e040fca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3fa6f06f5e040fca6868c4412ed4ab22ad083781b095ff9b54788d36b5818c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000685.json b/manifests/batches/mathlib/000685.json
index 7838d473109df6e31617379be1f369126375807c..a1ebed26d615d2ee933f445d49159d6ec7fb29e1 100644
--- a/manifests/batches/mathlib/000685.json
+++ b/manifests/batches/mathlib/000685.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000685",
   "batch_fingerprint": "c863d44892b6afe67a480077e8b17f0bbf169c67f184ee8ed2d83ee44060fdb7",
   "evidence": {
@@ -748,29 +747,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000685-0000-d119bf172a1ec5bc.parquet",
-      "sha256": "d119bf172a1ec5bc0f1c101d8195892c023d7382fe72a8c434bc54eaf660bb51",
-      "bytes": 199634,
-      "rows": 41,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/dev/mathlib-000685-0000-0d59f9dc8ccb7210.parquet",
-      "sha256": "0d59f9dc8ccb721042067cd1961f9421164bdfecbf5ef6f25e2c642658d5d007",
-      "bytes": 105509,
-      "rows": 13,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000685-0000-4f14d516c1dad806.parquet",
-      "sha256": "4f14d516c1dad806d6b7ae1eae69d12ff295f5deaf0a5d6f0d57e109701b507b",
-      "bytes": 53847,
-      "rows": 5,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.IsColimit.OfNatIso.coconeOfHom_fac",
     "mathlib:CategoryTheory.Limits.IsColimit.OfNatIso.coconeOfHom_homOfCocone",
@@ -820,5 +797,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/IsLimit.lean\",null,null,\"CategoryTheory.Limits.IsLimit.lift_comp_conePointsIsoOfNatIso_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/IsLimit.lean\",null,null,\"CategoryTheory.Limits.IsLimit.lift_comp_conePointsIsoOfNatIso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/IsLimit.lean\",null,null,\"CategoryTheory.Limits.IsLimit.uniq_cone_morphism\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199634,
+      "path": "data/train/p73/mathlib-000685-0000-d119bf172a1ec5bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "d119bf172a1ec5bc0f1c101d8195892c023d7382fe72a8c434bc54eaf660bb51"
+    },
+    {
+      "bytes": 105509,
+      "path": "data/dev/p73/mathlib-000685-0000-0d59f9dc8ccb7210.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0d59f9dc8ccb721042067cd1961f9421164bdfecbf5ef6f25e2c642658d5d007"
+    },
+    {
+      "bytes": 53847,
+      "path": "data/internal_test/p73/mathlib-000685-0000-4f14d516c1dad806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4f14d516c1dad806d6b7ae1eae69d12ff295f5deaf0a5d6f0d57e109701b507b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000686.json b/manifests/batches/mathlib/000686.json
index 9d8a290203fc040feb0cdd76f58071d68cc04a20..b88952467247c5a5c20a1b767aadc1ae610c83d6 100644
--- a/manifests/batches/mathlib/000686.json
+++ b/manifests/batches/mathlib/000686.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000686",
   "batch_fingerprint": "2c0fa0f8377d46de996d2512c486aeba5ff779aee2918c28e58679bd0632bfb8",
   "evidence": {
@@ -589,7 +588,8 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000687.json b/manifests/batches/mathlib/000687.json
index 92b253ee5328861604774a9aae4eb4c6e3b14a63..035875757743d2d2c6e0b7933898e3fcb8bca41d 100644
--- a/manifests/batches/mathlib/000687.json
+++ b/manifests/batches/mathlib/000687.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000687",
   "batch_fingerprint": "ec92e2a995664f80ea6f64a5f7f391d0a3720d429dfa9578f7769850a116b190",
   "evidence": {
@@ -1002,22 +1001,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000687-0000-06c89194072b5b0a.parquet",
-      "sha256": "06c89194072b5b0abdf2455ca21373dd5f51e445ae3a199e484f62e446c75d31",
-      "bytes": 229520,
-      "rows": 48,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000687-0000-374fe4e819f1f4db.parquet",
-      "sha256": "374fe4e819f1f4dba53429ee1838ad5af23aa94212cdbb2e913cf8713025f175",
-      "bytes": 100105,
-      "rows": 22,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.MonoCoprod.mk'",
     "mathlib:CategoryTheory.Limits.MonoCoprod.monoCoprod_of_preservesCoprod_of_reflectsMono",
@@ -1069,5 +1053,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Opposites.lean\",null,null,\"CategoryTheory.Limits.pushoutIsoUnopPullback_inr_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Opposites.lean\",null,null,\"CategoryTheory.Limits.pushoutIsoUnopPullback_inv_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Opposites.lean\",null,null,\"CategoryTheory.Limits.pushoutIsoUnopPullback_inv_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229520,
+      "path": "data/train/peb/mathlib-000687-0000-06c89194072b5b0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "06c89194072b5b0abdf2455ca21373dd5f51e445ae3a199e484f62e446c75d31"
+    },
+    {
+      "bytes": 100105,
+      "path": "data/internal_test/peb/mathlib-000687-0000-374fe4e819f1f4db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "374fe4e819f1f4dba53429ee1838ad5af23aa94212cdbb2e913cf8713025f175"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000688.json b/manifests/batches/mathlib/000688.json
index a0776b5b2580f5041463b260d6d29449e6677fb1..f0b56b678884c736a69f85c5dc2c33751b49f0cf 100644
--- a/manifests/batches/mathlib/000688.json
+++ b/manifests/batches/mathlib/000688.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000688",
   "batch_fingerprint": "6dcb8c94ab857d44d8c421cdd55eff4145a736065d5270e90ca2435f7d4ed944",
   "evidence": {
@@ -151,7 +150,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000689.json b/manifests/batches/mathlib/000689.json
index 1f608d9add0ae27182e0753bf0f1f34cc0666d06..e8bf385fc593c2aaadcab499a638812f462c5281 100644
--- a/manifests/batches/mathlib/000689.json
+++ b/manifests/batches/mathlib/000689.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000689",
   "batch_fingerprint": "620464d37ca86e7ac476f6403a6786ce2af78e03d14da53e5d7261a55b338372",
   "evidence": {
@@ -150,22 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000689-0000-bc57f9546e94436a.parquet",
-      "sha256": "bc57f9546e94436a0b3aaeadd398798be6a16d05cb2d79813a32fa18f21074fa",
-      "bytes": 70252,
-      "rows": 8,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000689-0000-97a27d033fca6785.parquet",
-      "sha256": "97a27d033fca678516d083b0826075ad9dd9650351e806da5769e34a17ea3e8b",
-      "bytes": 54174,
-      "rows": 2,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.PreservesLimitPair.iso_inv_fst",
     "mathlib:CategoryTheory.Limits.PreservesLimitPair.iso_inv_snd",
@@ -181,5 +165,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Limits.lean\",null,null,\"CategoryTheory.preserves_lift_mapCone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/BinaryProducts.lean\",null,null,\"CategoryTheory.Limits.PreservesLimitPair.iso_inv_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/BinaryProducts.lean\",null,null,\"CategoryTheory.Limits.PreservesLimitPair.iso_inv_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70252,
+      "path": "data/train/p4d/mathlib-000689-0000-bc57f9546e94436a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bc57f9546e94436a0b3aaeadd398798be6a16d05cb2d79813a32fa18f21074fa"
+    },
+    {
+      "bytes": 54174,
+      "path": "data/internal_test/p4d/mathlib-000689-0000-97a27d033fca6785.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "97a27d033fca678516d083b0826075ad9dd9650351e806da5769e34a17ea3e8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000690.json b/manifests/batches/mathlib/000690.json
index fae036e71d3077646143bb1f0d44bb5e4aa92c14..360187996b434507482b04ef9175f1d1dbc015ed 100644
--- a/manifests/batches/mathlib/000690.json
+++ b/manifests/batches/mathlib/000690.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000690",
   "batch_fingerprint": "087639cca3213bb3ec34ed62f6ef36fd18e9ad6e719c0bf210e2256d12a9bc1b",
   "evidence": {
@@ -354,29 +353,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000690-0000-f840b0256791cedd.parquet",
-      "sha256": "f840b0256791cedd21e741f696754c314161fe9a04f8aed9cf9fc03203eb5cd0",
-      "bytes": 118584,
-      "rows": 18,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/dev/mathlib-000690-0000-c6965e4d30dc5e1f.parquet",
-      "sha256": "c6965e4d30dc5e1f83171150257538a7a1d6dc1019b76ebaae56545f76d06728",
-      "bytes": 54631,
-      "rows": 2,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000690-0000-7c9c3e1f24b85084.parquet",
-      "sha256": "7c9c3e1f24b850842572bd476e5ebff38dd445647eb3206fca3bf8cdcf78a12b",
-      "bytes": 67042,
-      "rows": 1,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.biprodComparison'_comp_biprodComparison",
     "mathlib:CategoryTheory.Limits.PreservesEqualizer.iso_inv_\u03b9",
@@ -406,5 +383,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_colimMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_colimMap_desc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_desc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118584,
+      "path": "data/train/pca/mathlib-000690-0000-f840b0256791cedd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f840b0256791cedd21e741f696754c314161fe9a04f8aed9cf9fc03203eb5cd0"
+    },
+    {
+      "bytes": 54631,
+      "path": "data/dev/pca/mathlib-000690-0000-c6965e4d30dc5e1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c6965e4d30dc5e1f83171150257538a7a1d6dc1019b76ebaae56545f76d06728"
+    },
+    {
+      "bytes": 67042,
+      "path": "data/internal_test/pca/mathlib-000690-0000-7c9c3e1f24b85084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7c9c3e1f24b850842572bd476e5ebff38dd445647eb3206fca3bf8cdcf78a12b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000691.json b/manifests/batches/mathlib/000691.json
index 09f95fdabf4006d2e8dfed559b3e9fc191cffa7b..19ec23a9a33b1428a84d11c9134cb2b7a67f5f4e 100644
--- a/manifests/batches/mathlib/000691.json
+++ b/manifests/batches/mathlib/000691.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000691",
   "batch_fingerprint": "0e90d41a3889544f6f9fe8779a7380b378a142db4e773f428c27c6e82fa89092",
   "evidence": {
@@ -151,22 +150,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000691-0000-0021a2589ee33553.parquet",
-      "sha256": "0021a2589ee33553529350e005a410548b3ca10a0f46ff3ad99e4b53c80f89b1",
-      "bytes": 75406,
-      "rows": 8,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000691-0000-46027edd4529f22d.parquet",
-      "sha256": "46027edd4529f22d7f4d23a4b97cb22371f32de49801ede305ef008d7e5aecea",
-      "bytes": 42305,
-      "rows": 1,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.CokernelCofork.map_condition",
     "mathlib:CategoryTheory.Limits.KernelFork.map_condition",
@@ -184,5 +168,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Kernels.lean\",null,null,\"CategoryTheory.Limits.KernelFork.map_condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Kernels.lean\",null,null,\"CategoryTheory.Limits.PreservesCokernel.iso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Kernels.lean\",null,null,\"CategoryTheory.Limits.PreservesKernel.iso_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75406,
+      "path": "data/train/pdc/mathlib-000691-0000-0021a2589ee33553.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0021a2589ee33553529350e005a410548b3ca10a0f46ff3ad99e4b53c80f89b1"
+    },
+    {
+      "bytes": 42305,
+      "path": "data/internal_test/pdc/mathlib-000691-0000-46027edd4529f22d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "46027edd4529f22d7f4d23a4b97cb22371f32de49801ede305ef008d7e5aecea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000692.json b/manifests/batches/mathlib/000692.json
index ff8381cc4b09496865a8e68ce72f8dd46a27ad60..0fc0e38eb11f6b203241cad1cf8b9deda07287a5 100644
--- a/manifests/batches/mathlib/000692.json
+++ b/manifests/batches/mathlib/000692.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000692",
   "batch_fingerprint": "acf101c5310c9bf2329e5c277cd04b99d9851c1698dc4bf2bf770df44fb99f1a",
   "evidence": {
@@ -150,22 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000692-0000-b8f8d4833e21d091.parquet",
-      "sha256": "b8f8d4833e21d091a009e56e3e3766b20920dc33f53b76e410023d33aa936d59",
-      "bytes": 66235,
-      "rows": 9,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000692-0000-afef7e5e2b05622b.parquet",
-      "sha256": "afef7e5e2b05622bf6dc73432027f00361ab4879af9bfaf388f0bfb6e6f6ea07",
-      "bytes": 46188,
-      "rows": 1,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.PreservesPullback.iso_hom_fst",
     "mathlib:CategoryTheory.Limits.PreservesPullback.iso_hom_snd",
@@ -185,5 +169,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Pullbacks.lean\",null,null,\"CategoryTheory.Limits.PreservesPushout.inl_iso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Pullbacks.lean\",null,null,\"CategoryTheory.Limits.PreservesPushout.inr_iso_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Pullbacks.lean\",null,null,\"CategoryTheory.Limits.PreservesPushout.inr_iso_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66235,
+      "path": "data/train/p2a/mathlib-000692-0000-b8f8d4833e21d091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b8f8d4833e21d091a009e56e3e3766b20920dc33f53b76e410023d33aa936d59"
+    },
+    {
+      "bytes": 46188,
+      "path": "data/internal_test/p2a/mathlib-000692-0000-afef7e5e2b05622b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "afef7e5e2b05622bf6dc73432027f00361ab4879af9bfaf388f0bfb6e6f6ea07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000693.json b/manifests/batches/mathlib/000693.json
index 4e4e5d11d833634e96da77c95cf693fcb1dc9fb6..a6c28387f3fc18e7d11ab2911c326c60950d45db 100644
--- a/manifests/batches/mathlib/000693.json
+++ b/manifests/batches/mathlib/000693.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000693",
   "batch_fingerprint": "78033d40a1047e35496250d6b6167294b8825c2770dd5f884040c7dc9ee5181a",
   "evidence": {
@@ -161,15 +160,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000693-0000-06bd9308e1bb0531.parquet",
-      "sha256": "06bd9308e1bb0531225240748b466790a9115bfea9629b5b781e38697d12bc44",
-      "bytes": 64303,
-      "rows": 9,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.map_eq_zero_iff",
     "mathlib:CategoryTheory.Functor.map_isZero",
@@ -183,5 +174,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Zero.lean\",null,null,\"CategoryTheory.Functor.map_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Zero.lean\",null,null,\"CategoryTheory.Functor.map_isZero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Shapes/Zero.lean\",null,null,\"CategoryTheory.Functor.preservesZeroMorphisms_of_iso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64303,
+      "path": "data/train/p82/mathlib-000693-0000-06bd9308e1bb0531.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "06bd9308e1bb0531225240748b466790a9115bfea9629b5b781e38697d12bc44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000694.json b/manifests/batches/mathlib/000694.json
index 547ea90e93a57303c326c8c01c265be8b196d58f..f1a2ad9f4e208063bc0857909c5f42df4621365f 100644
--- a/manifests/batches/mathlib/000694.json
+++ b/manifests/batches/mathlib/000694.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000694",
   "batch_fingerprint": "e07ae5f1dc3fc9eaaffd67e9c0a797df69ee293852d7eeddaa54b88e7981ae7a",
   "evidence": {
@@ -638,15 +637,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000694-0000-c1d768f14fbd87b3.parquet",
-      "sha256": "c1d768f14fbd87b33138e76fb39183dc9bc1124fb18465323438e298531e482e",
-      "bytes": 61781,
-      "rows": 13,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Types.descSet_empty",
     "mathlib:CategoryTheory.Limits.Types.descSet_inter_of_ne",
@@ -658,5 +649,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Ulift.lean\",null,null,\"CategoryTheory.Limits.Types.descSet_inter_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Ulift.lean\",null,null,\"CategoryTheory.Limits.Types.descSet_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Preserves/Ulift.lean\",null,null,\"CategoryTheory.Limits.Types.iUnion_descSet_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61781,
+      "path": "data/train/p7e/mathlib-000694-0000-c1d768f14fbd87b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c1d768f14fbd87b33138e76fb39183dc9bc1124fb18465323438e298531e482e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000695.json b/manifests/batches/mathlib/000695.json
index 4f7682920e43c908ba7f432e4bf8d96e4e38e8e1..320382cb412aca165a44dd8417860f32ee4b6302 100644
--- a/manifests/batches/mathlib/000695.json
+++ b/manifests/batches/mathlib/000695.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000695",
   "batch_fingerprint": "1eaa253ff5f24e408a1cc6268fa07032d09d11c55bc824defb3de80abd931ba3",
   "evidence": {
@@ -3438,29 +3437,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000695-0000-9181532dbe90bf6d.parquet",
-      "sha256": "9181532dbe90bf6df4faad685680fb1e2db134f2ade7445baa7325653d7ccd1d",
-      "bytes": 363799,
-      "rows": 96,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/dev/mathlib-000695-0000-6139f55230796029.parquet",
-      "sha256": "6139f552307960295df08c853fd953782ae1d02e881e439c7d0571c31af83d6c",
-      "bytes": 64280,
-      "rows": 7,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000695-0000-7c4d3a9cbae958ca.parquet",
-      "sha256": "7c4d3a9cbae958ca0b8e5ab3c4d23d5438ea1fc0c0d793d0b7a3d699cf126542",
-      "bytes": 57799,
-      "rows": 5,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Bicone.\u03b9_of_isLimit",
     "mathlib:CategoryTheory.Limits.Bicone.\u03c0_of_isColimit",
@@ -3626,5 +3603,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean\",null,null,\"CategoryTheory.Limits.biproduct.\u03b9_\u03c0_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean\",null,null,\"CategoryTheory.Limits.biproduct.\u03b9_\u03c0_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean\",null,null,\"CategoryTheory.isIso_right_of_isIso_biprod_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363799,
+      "path": "data/train/pd5/mathlib-000695-0000-9181532dbe90bf6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "9181532dbe90bf6df4faad685680fb1e2db134f2ade7445baa7325653d7ccd1d"
+    },
+    {
+      "bytes": 64280,
+      "path": "data/dev/pd5/mathlib-000695-0000-6139f55230796029.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6139f552307960295df08c853fd953782ae1d02e881e439c7d0571c31af83d6c"
+    },
+    {
+      "bytes": 57799,
+      "path": "data/internal_test/pd5/mathlib-000695-0000-7c4d3a9cbae958ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7c4d3a9cbae958ca0b8e5ab3c4d23d5438ea1fc0c0d793d0b7a3d699cf126542"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000696.json b/manifests/batches/mathlib/000696.json
index c0cea231ab98e47ab507f1ce14b4a20b3786bb7d..4d6204119705f33cbed18b53efd91415d906bf93 100644
--- a/manifests/batches/mathlib/000696.json
+++ b/manifests/batches/mathlib/000696.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000696",
   "batch_fingerprint": "4635cca041ef64db1f43847808121264551ad96c20bfee0296e8143cfcf9ec2c",
   "evidence": {
@@ -2959,29 +2958,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000696-0000-41efd8ed20452c0d.parquet",
-      "sha256": "41efd8ed20452c0dad8129458ebb59d6e9cf1cbd9989180822fe41813a022c97",
-      "bytes": 124273,
-      "rows": 25,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/dev/mathlib-000696-0000-68220aae765c9428.parquet",
-      "sha256": "68220aae765c9428e266b0fecb20ffae7e63d7797a783081f6dd9b37457551c6",
-      "bytes": 36632,
-      "rows": 1,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000696-0000-24e0a48b2268e963.parquet",
-      "sha256": "24e0a48b2268e963ae318895cd0902623c32f5354a7e25471a7e45bc4f244197",
-      "bytes": 50959,
-      "rows": 4,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.BicartesianSq.of_has_biproduct\u2081",
     "mathlib:CategoryTheory.BicartesianSq.of_has_biproduct\u2082",
@@ -3025,5 +3002,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean\",null,null,\"CategoryTheory.IsPushout.of_is_coproduct\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean\",null,null,\"CategoryTheory.IsPushout.of_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean\",null,null,\"CategoryTheory.IsPushout.of_map_of_faithful\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124273,
+      "path": "data/train/p97/mathlib-000696-0000-41efd8ed20452c0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "41efd8ed20452c0dad8129458ebb59d6e9cf1cbd9989180822fe41813a022c97"
+    },
+    {
+      "bytes": 36632,
+      "path": "data/dev/p97/mathlib-000696-0000-68220aae765c9428.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "68220aae765c9428e266b0fecb20ffae7e63d7797a783081f6dd9b37457551c6"
+    },
+    {
+      "bytes": 50959,
+      "path": "data/internal_test/p97/mathlib-000696-0000-24e0a48b2268e963.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "24e0a48b2268e963ae318895cd0902623c32f5354a7e25471a7e45bc4f244197"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000697.json b/manifests/batches/mathlib/000697.json
index eae18ae7cb310d5836449aeedfb2c2f234005dee..efdc4033b0fbb91933d4393a18881cb67c2655d7 100644
--- a/manifests/batches/mathlib/000697.json
+++ b/manifests/batches/mathlib/000697.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000697",
   "batch_fingerprint": "d244a6db0343dcac691144f7c76e008f2f03c942160abf088cdfffec21321433",
   "evidence": {
@@ -1166,19 +1165,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-000697-0000-3ca89247cbe3e9c1.parquet",
-      "sha256": "3ca89247cbe3e9c136bcae1541bc4f82a1b6f7f0a9e838031c50a5c21a075307",
-      "bytes": 59057,
-      "rows": 3,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.sequentialFunctor_initial_aux"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Countable.lean\",null,null,\"CategoryTheory.Limits.sequentialFunctor_initial_aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59057,
+      "path": "data/internal_test/pe1/mathlib-000697-0000-3ca89247cbe3e9c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3ca89247cbe3e9c136bcae1541bc4f82a1b6f7f0a9e838031c50a5c21a075307"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000698.json b/manifests/batches/mathlib/000698.json
index b0eae79a2de949e19e255667c0d05a370310aed8..a951d6af354eb774fefac96760bf75aa0cc9836e 100644
--- a/manifests/batches/mathlib/000698.json
+++ b/manifests/batches/mathlib/000698.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000698",
   "batch_fingerprint": "1d07d58c938d85926309afe05bc8054e58e55e5569ad7a44012104dee473d2f8",
   "evidence": {
@@ -1671,29 +1670,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000698-0000-4fc2aa71fb5f5329.parquet",
-      "sha256": "4fc2aa71fb5f5329b3d37b5566839a349f7cd283f2d5d1c016e9dad2f88caf6e",
-      "bytes": 82155,
-      "rows": 16,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/dev/mathlib-000698-0000-cf856b51e2ff6194.parquet",
-      "sha256": "cf856b51e2ff619411ff7a805e69e2408dc8aaeb5d9483c93a340667f3b03ce4",
-      "bytes": 37942,
-      "rows": 3,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000698-0000-42806c231907e741.parquet",
-      "sha256": "42806c231907e741c88608aa53393cf558bfdc1ec7772a16f9f690ecfda1f5fa",
-      "bytes": 57969,
-      "rows": 5,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Cocone.ofCofork_\u03b9",
     "mathlib:CategoryTheory.Limits.Cofork.app_zero_eq_comp_\u03c0_left",
@@ -1733,5 +1710,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.WalkingParallelPairHom.id.sizeOf_spec'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.coequalizer.\u03c0_colimMap_desc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean\",null,null,\"CategoryTheory.Limits.parallelPair_functor_obj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82155,
+      "path": "data/train/p9d/mathlib-000698-0000-4fc2aa71fb5f5329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4fc2aa71fb5f5329b3d37b5566839a349f7cd283f2d5d1c016e9dad2f88caf6e"
+    },
+    {
+      "bytes": 37942,
+      "path": "data/dev/p9d/mathlib-000698-0000-cf856b51e2ff6194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cf856b51e2ff619411ff7a805e69e2408dc8aaeb5d9483c93a340667f3b03ce4"
+    },
+    {
+      "bytes": 57969,
+      "path": "data/internal_test/p9d/mathlib-000698-0000-42806c231907e741.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "42806c231907e741c88608aa53393cf558bfdc1ec7772a16f9f690ecfda1f5fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000699.json b/manifests/batches/mathlib/000699.json
index 363ffa86450cf6def49054bd24091d8e9cd8ab0b..a5ee0618b62d6afa243a893c906b43b2f991c961 100644
--- a/manifests/batches/mathlib/000699.json
+++ b/manifests/batches/mathlib/000699.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000699",
   "batch_fingerprint": "3bc53a8414abcad8d96ee28afed0381ec381a6f86bc5d90bdc7f998017f1fc5c",
   "evidence": {
@@ -150,15 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000699-0000-93d6c3fc1076c88d.parquet",
-      "sha256": "93d6c3fc1076c88d6d72bf0df96627ee08f57f427168166cf38df3ffab38a1d8",
-      "bytes": 49732,
-      "rows": 10,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.hasFiniteColimits_of_hasFiniteColimits_of_size",
     "mathlib:CategoryTheory.Limits.hasFiniteLimits_of_hasFiniteLimits_of_size",
@@ -170,5 +161,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FiniteLimits.lean\",null,null,\"CategoryTheory.Limits.hasFiniteLimits_of_hasFiniteLimits_of_size\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FiniteLimits.lean\",null,null,\"CategoryTheory.Limits.hasFiniteWidePullbacks_of_hasFiniteLimits\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FiniteLimits.lean\",null,null,\"CategoryTheory.Limits.hasFiniteWidePushouts_of_has_finite_limits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49732,
+      "path": "data/train/p1f/mathlib-000699-0000-93d6c3fc1076c88d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "93d6c3fc1076c88d6d72bf0df96627ee08f57f427168166cf38df3ffab38a1d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000700.json b/manifests/batches/mathlib/000700.json
index 854e30214765ae48ab5534011537a53153ee61c2..bb5dd24de1a339cd4a307a51932e9023513b0fa6 100644
--- a/manifests/batches/mathlib/000700.json
+++ b/manifests/batches/mathlib/000700.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000700",
   "batch_fingerprint": "915fcfd9dae24d134f12bdf75e9f79fff97703754848e02bd7d06e502c5b209e",
   "evidence": {
@@ -370,15 +369,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000700-0000-595a419c97171966.parquet",
-      "sha256": "595a419c971719664f076dfa87a8715a8b343e2a93efb3c756f2c092f8125ead",
-      "bytes": 52708,
-      "rows": 10,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.FunctorToTypes.binaryProductIso_inv_comp_fst",
     "mathlib:CategoryTheory.FunctorToTypes.binaryProductIso_inv_comp_snd",
@@ -396,5 +387,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FunctorToTypes.lean\",null,null,\"CategoryTheory.FunctorToTypes.prodMk_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FunctorToTypes.lean\",null,null,\"CategoryTheory.FunctorToTypes.prodMk_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/FunctorToTypes.lean\",null,null,\"CategoryTheory.FunctorToTypes.prod_ext'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52708,
+      "path": "data/train/pb5/mathlib-000700-0000-595a419c97171966.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "595a419c971719664f076dfa87a8715a8b343e2a93efb3c756f2c092f8125ead"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000701.json b/manifests/batches/mathlib/000701.json
index 8fb330943fbfcd8be9b38d7006b92b69cfd648a8..c338a77f483303f2dd1c59813357ded19783d906 100644
--- a/manifests/batches/mathlib/000701.json
+++ b/manifests/batches/mathlib/000701.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000701",
   "batch_fingerprint": "65cb9c779a6e66f7c52af92aaad0c5ee5fcd1be54adede76186f353fcb2312a8",
   "evidence": {
@@ -1284,29 +1283,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000701-0000-c82cb1df4ca4d30b.parquet",
-      "sha256": "c82cb1df4ca4d30b20b27251e9bcaef9eb22b7d7d31c8204686f059a2ddc68a8",
-      "bytes": 108657,
-      "rows": 29,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/dev/mathlib-000701-0000-ce2e3aa1a8f95ea8.parquet",
-      "sha256": "ce2e3aa1a8f95ea877940e7cbaec8c5798f4b56bc2d01fa08845837abeb91962",
-      "bytes": 48440,
-      "rows": 5,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000701-0000-b902774654d57aa2.parquet",
-      "sha256": "b902774654d57aa2fc4a2a050d7250ad79ac902396d4d7f801561a0494a70d79",
-      "bytes": 57022,
-      "rows": 6,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.IsKernelPair.cancel_right_of_mono",
     "mathlib:CategoryTheory.IsKernelPair.isIso_of_mono",
@@ -1362,5 +1339,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Images.lean\",null,null,\"CategoryTheory.Limits.strongEpi_of_strongEpiMonoFactorisation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/KernelPair.lean\",null,null,\"CategoryTheory.IsKernelPair.cancel_right_of_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/KernelPair.lean\",null,null,\"CategoryTheory.IsKernelPair.isIso_of_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108657,
+      "path": "data/train/pe6/mathlib-000701-0000-c82cb1df4ca4d30b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c82cb1df4ca4d30b20b27251e9bcaef9eb22b7d7d31c8204686f059a2ddc68a8"
+    },
+    {
+      "bytes": 48440,
+      "path": "data/dev/pe6/mathlib-000701-0000-ce2e3aa1a8f95ea8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ce2e3aa1a8f95ea877940e7cbaec8c5798f4b56bc2d01fa08845837abeb91962"
+    },
+    {
+      "bytes": 57022,
+      "path": "data/internal_test/pe6/mathlib-000701-0000-b902774654d57aa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b902774654d57aa2fc4a2a050d7250ad79ac902396d4d7f801561a0494a70d79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000702.json b/manifests/batches/mathlib/000702.json
index 715e6dae0ad81a8abd316cc1023a58b16008b0ad..b72396cc5aedc00538f9080eed77be5a4dcf03ab 100644
--- a/manifests/batches/mathlib/000702.json
+++ b/manifests/batches/mathlib/000702.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000702",
   "batch_fingerprint": "f422327b13a0ae3657b9c3c39395657675470937f8928a40bbb62f1013ef5599",
   "evidence": {
@@ -1994,29 +1993,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000702-0000-08e8714ff846a33a.parquet",
-      "sha256": "08e8714ff846a33a2c4a32bcc6986c3a627f60b9ddc8a3420cf03cdb7c89efaf",
-      "bytes": 222399,
-      "rows": 57,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/dev/mathlib-000702-0000-2247259199bcf41f.parquet",
-      "sha256": "2247259199bcf41f92791830385afadcd2e76d889f749c721661f1657a2ba803",
-      "bytes": 48151,
-      "rows": 1,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/mathlib-000702-0000-91aaa28f12cd55dd.parquet",
-      "sha256": "91aaa28f12cd55ddc1162cb26ea931a4976f394c24095415e9578fbef0fea0bd",
-      "bytes": 51798,
-      "rows": 6,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.CokernelCofork.condition",
     "mathlib:CategoryTheory.Limits.CokernelCofork.\u03c0_eq_zero",
@@ -2092,5 +2069,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean\",null,null,\"CategoryTheory.Limits.Multifork.pi_condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean\",null,null,\"CategoryTheory.Limits.MultispanIndex.\u03b9_fstSigmaMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean\",null,null,\"CategoryTheory.Limits.MultispanIndex.\u03b9_sndSigmaMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222399,
+      "path": "data/train/pa6/mathlib-000702-0000-08e8714ff846a33a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "08e8714ff846a33a2c4a32bcc6986c3a627f60b9ddc8a3420cf03cdb7c89efaf"
+    },
+    {
+      "bytes": 48151,
+      "path": "data/dev/pa6/mathlib-000702-0000-2247259199bcf41f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2247259199bcf41f92791830385afadcd2e76d889f749c721661f1657a2ba803"
+    },
+    {
+      "bytes": 51798,
+      "path": "data/internal_test/pa6/mathlib-000702-0000-91aaa28f12cd55dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "91aaa28f12cd55ddc1162cb26ea931a4976f394c24095415e9578fbef0fea0bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000703.json b/manifests/batches/mathlib/000703.json
index 75220e2cc22bfe6d9c1614c5aeafd61fbf93143a..66a0aa2609963c9282eecae9e59e4a2d0033843c 100644
--- a/manifests/batches/mathlib/000703.json
+++ b/manifests/batches/mathlib/000703.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000703",
   "batch_fingerprint": "d9416501ff57e14ab9e464026cb90e8459f9abc4edc9ecb7f4f87d4dff353a6b",
   "evidence": {
@@ -859,29 +858,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000703-0000-e3a3b91529a7237b.parquet",
-      "sha256": "e3a3b91529a7237bdd4b5e1d00891fe150f09c3b744ca663c827eb0aaa5382e7",
-      "bytes": 186339,
-      "rows": 35,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/dev/mathlib-000703-0000-4a1f86f84537a2ad.parquet",
-      "sha256": "4a1f86f84537a2ada2e3dfdcb64b62a8923e999cdb2c8b4605381f0e6233b100",
-      "bytes": 38358,
-      "rows": 2,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000703-0000-e5ed44ab04f82697.parquet",
-      "sha256": "e5ed44ab04f8269703fa5f65fb8dd5379555862e86e792cf5f1bda4758420ca5",
-      "bytes": 61661,
-      "rows": 2,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Pi.lift_\u03c0",
     "mathlib:CategoryTheory.Limits.Pi.map'_comp_map",
@@ -927,5 +904,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Products.lean\",null,null,\"CategoryTheory.Limits.hasProduct_of_equiv_of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Products.lean\",null,null,\"CategoryTheory.Limits.map_lift_piComparison\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Products.lean\",null,null,\"CategoryTheory.Limits.sigmaComparison_map_desc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186339,
+      "path": "data/train/p3a/mathlib-000703-0000-e3a3b91529a7237b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "e3a3b91529a7237bdd4b5e1d00891fe150f09c3b744ca663c827eb0aaa5382e7"
+    },
+    {
+      "bytes": 38358,
+      "path": "data/dev/p3a/mathlib-000703-0000-4a1f86f84537a2ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4a1f86f84537a2ada2e3dfdcb64b62a8923e999cdb2c8b4605381f0e6233b100"
+    },
+    {
+      "bytes": 61661,
+      "path": "data/internal_test/p3a/mathlib-000703-0000-e5ed44ab04f82697.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e5ed44ab04f8269703fa5f65fb8dd5379555862e86e792cf5f1bda4758420ca5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000704.json b/manifests/batches/mathlib/000704.json
index 5e9d0dd21df4ded4008dd95a9902446c8f6d0c58..3512050ea4f1817c4b456b23579978474b14d9e0 100644
--- a/manifests/batches/mathlib/000704.json
+++ b/manifests/batches/mathlib/000704.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000704",
   "batch_fingerprint": "0b00586aa86d201f257d3513d51b7c11cc505933e515fcb900ce9931ffae216c",
   "evidence": {
@@ -5098,15 +5097,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000704-0000-dd8ea1c76d2ba8cf.parquet",
-      "sha256": "dd8ea1c76d2ba8cf3ce7fe08363e01b357686d605ccfa1e1d86175810608bb66",
-      "bytes": 58435,
-      "rows": 4,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.hasCoequalizer_of_common_section",
     "mathlib:CategoryTheory.Limits.hasEqualizer_of_common_retraction"
@@ -5114,5 +5105,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Reflexive.lean\",null,null,\"CategoryTheory.Limits.hasCoequalizer_of_common_section\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Reflexive.lean\",null,null,\"CategoryTheory.Limits.hasEqualizer_of_common_retraction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58435,
+      "path": "data/train/pb3/mathlib-000704-0000-dd8ea1c76d2ba8cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dd8ea1c76d2ba8cf3ce7fe08363e01b357686d605ccfa1e1d86175810608bb66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000705.json b/manifests/batches/mathlib/000705.json
index 0c3995da22a2aba371c9ed1aea9959ea4440827b..92531d7677ad0d8274b0d7d51b687cbd3961ba2d 100644
--- a/manifests/batches/mathlib/000705.json
+++ b/manifests/batches/mathlib/000705.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000705",
   "batch_fingerprint": "322fe0da04124e23c25c254324b34d432abd2c3c99ab1f2d5b072d8bbab061be",
   "evidence": {
@@ -62,19 +61,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000705-0000-4e5f9c0004a3b883.parquet",
-      "sha256": "4e5f9c0004a3b883f5b0cf41e4a97f0d3bf753b61709a8f6eff71cda37ca4478",
-      "bytes": 61841,
-      "rows": 4,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.SingleObj.Types.Quot.Rel.iff_orbitRel"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/SingleObj.lean\",null,null,\"CategoryTheory.Limits.SingleObj.Types.Quot.Rel.iff_orbitRel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61841,
+      "path": "data/train/pcb/mathlib-000705-0000-4e5f9c0004a3b883.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4e5f9c0004a3b883f5b0cf41e4a97f0d3bf753b61709a8f6eff71cda37ca4478"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000706.json b/manifests/batches/mathlib/000706.json
index 2c0445fee80893f5d9cf287b8b665c18e86fd476..429216162fa48a1a44587e682c8726edccabf5a5 100644
--- a/manifests/batches/mathlib/000706.json
+++ b/manifests/batches/mathlib/000706.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000706",
   "batch_fingerprint": "fedae6dd00c3e2dcc79c3768f871565b4398715f45fd50c2dfdae87c6f91181d",
   "evidence": {
@@ -579,22 +578,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000706-0000-0e656eb982a41aa5.parquet",
-      "sha256": "0e656eb982a41aa55076d0ec9c91f0976d672f8ebd033b5ff561501234c185da",
-      "bytes": 48032,
-      "rows": 3,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000706-0000-69ef449fe329d10d.parquet",
-      "sha256": "69ef449fe329d10d46671b10c4bb9424bee20ca6cff5fe7cc7264c64607052fb",
-      "bytes": 51014,
-      "rows": 5,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.IsInitial.strict_hom_ext",
     "mathlib:CategoryTheory.Limits.IsTerminal.strict_hom_ext",
@@ -606,5 +590,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean\",null,null,\"CategoryTheory.Limits.IsTerminal.strict_hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean\",null,null,\"CategoryTheory.Limits.hasStrictInitialObjects_of_initial_is_strict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean\",null,null,\"CategoryTheory.Limits.hasStrictTerminalObjects_of_terminal_is_strict\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48032,
+      "path": "data/train/p9d/mathlib-000706-0000-0e656eb982a41aa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0e656eb982a41aa55076d0ec9c91f0976d672f8ebd033b5ff561501234c185da"
+    },
+    {
+      "bytes": 51014,
+      "path": "data/internal_test/p9d/mathlib-000706-0000-69ef449fe329d10d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "69ef449fe329d10d46671b10c4bb9424bee20ca6cff5fe7cc7264c64607052fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000707.json b/manifests/batches/mathlib/000707.json
index 607aeab6b58989671b3770db96766097e98c53e6..83692ab607a06771cd648041b7c8f37c52ea1d94 100644
--- a/manifests/batches/mathlib/000707.json
+++ b/manifests/batches/mathlib/000707.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000707",
   "batch_fingerprint": "17995cadeb232962cb97e600205df7a6918682c30ad909236fbb593cdc6065a9",
   "evidence": {
@@ -1239,22 +1238,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000707-0000-fc1ed75483aa8511.parquet",
-      "sha256": "fc1ed75483aa8511fa7df9989a95dc8846e518fcb9d94b898d413f02afd1ae85",
-      "bytes": 86655,
-      "rows": 26,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000707-0000-17a7457534bf4b72.parquet",
-      "sha256": "17a7457534bf4b721dee8e97f28502e4cc61cbf998e2963c7cfefb82875c31cf",
-      "bytes": 32697,
-      "rows": 1,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.InitialMonoClass.of_isInitial",
     "mathlib:CategoryTheory.Limits.IsColimit.isIso_\u03b9_app_of_isTerminal",
@@ -1292,5 +1276,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean\",null,null,\"CategoryTheory.Limits.limitConstTerminal_inv_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean\",null,null,\"CategoryTheory.Limits.terminal.comp_from\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean\",null,null,\"CategoryTheory.Limits.terminal.hom_ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86655,
+      "path": "data/train/pa7/mathlib-000707-0000-fc1ed75483aa8511.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "fc1ed75483aa8511fa7df9989a95dc8846e518fcb9d94b898d413f02afd1ae85"
+    },
+    {
+      "bytes": 32697,
+      "path": "data/internal_test/pa7/mathlib-000707-0000-17a7457534bf4b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "17a7457534bf4b721dee8e97f28502e4cc61cbf998e2963c7cfefb82875c31cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000708.json b/manifests/batches/mathlib/000708.json
index 05e6c891b3bf24ec9ffb35f807eeea51114b8e7c..2e35b0108d72666dd1e3fa6b3260cea5341c072b 100644
--- a/manifests/batches/mathlib/000708.json
+++ b/manifests/batches/mathlib/000708.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000708",
   "batch_fingerprint": "4c2b4477e2bfe78b96e4c0fd46174d1914ca3d6b929363ad0149e86d39ab5288",
   "evidence": {
@@ -2692,29 +2691,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000708-0000-79a5d21dc4a20c46.parquet",
-      "sha256": "79a5d21dc4a20c46d87dac23e80000726d22d7e0b8f71ffb2632646e730bd7dc",
-      "bytes": 72537,
-      "rows": 14,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/dev/mathlib-000708-0000-51920936d82e205a.parquet",
-      "sha256": "51920936d82e205a4b707fa0e94b8e877d20ea3707b236b5f14ecac3834b81b9",
-      "bytes": 28920,
-      "rows": 1,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000708-0000-d44ad810b6cabdc8.parquet",
-      "sha256": "d44ad810b6cabdc83091be79298aa0e71c75502564ddb725710da8774fec0602",
-      "bytes": 29478,
-      "rows": 2,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Cocone.ofCotrident_\u03b9",
     "mathlib:CategoryTheory.Limits.Cone.ofTrident_\u03c0",
@@ -2750,5 +2727,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean\",null,null,\"CategoryTheory.Limits.Trident.condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean\",null,null,\"CategoryTheory.Limits.Trident.equalizer_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean\",null,null,\"CategoryTheory.Limits.Trident.ofCone_\u03c0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72537,
+      "path": "data/train/p52/mathlib-000708-0000-79a5d21dc4a20c46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "79a5d21dc4a20c46d87dac23e80000726d22d7e0b8f71ffb2632646e730bd7dc"
+    },
+    {
+      "bytes": 28920,
+      "path": "data/dev/p52/mathlib-000708-0000-51920936d82e205a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "51920936d82e205a4b707fa0e94b8e877d20ea3707b236b5f14ecac3834b81b9"
+    },
+    {
+      "bytes": 29478,
+      "path": "data/internal_test/p52/mathlib-000708-0000-d44ad810b6cabdc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d44ad810b6cabdc83091be79298aa0e71c75502564ddb725710da8774fec0602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000709.json b/manifests/batches/mathlib/000709.json
index 2056d9179aa5b8ad32b0222dcc5e8a064be4b89f..eb0e1ae5910da5540561b38fc5a703aa21743529 100644
--- a/manifests/batches/mathlib/000709.json
+++ b/manifests/batches/mathlib/000709.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000709",
   "batch_fingerprint": "d02f7c58244cf9c0a012d9b436bfd0fd2ae7003c28db576a9a6ce76115ae607a",
   "evidence": {
@@ -1558,29 +1557,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000709-0000-b6c6c688eaf2af64.parquet",
-      "sha256": "b6c6c688eaf2af64e8db23dd8f3a29b542e6978f10c7424fe0e50565afd2b8f2",
-      "bytes": 129437,
-      "rows": 39,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/mathlib-000709-0000-694b10c67216f79f.parquet",
-      "sha256": "694b10c67216f79f355b91ca29f32d5ad274508f16c5f5886fc304d9f01ef6cd",
-      "bytes": 38387,
-      "rows": 2,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000709-0000-78f9319eba876e0c.parquet",
-      "sha256": "78f9319eba876e0c30224f02f64971d16f553fda72c3f360e2237e7f3b944d29",
-      "bytes": 50121,
-      "rows": 2,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.HasZeroObject.zeroIsoInitial_hom",
     "mathlib:CategoryTheory.Limits.HasZeroObject.zeroIsoInitial_inv",
@@ -1648,5 +1625,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean\",null,null,\"CategoryTheory.Limits.zero_of_epi_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean\",null,null,\"CategoryTheory.Limits.zero_of_from_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean\",null,null,\"CategoryTheory.Limits.zero_of_to_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129437,
+      "path": "data/train/pee/mathlib-000709-0000-b6c6c688eaf2af64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "b6c6c688eaf2af64e8db23dd8f3a29b542e6978f10c7424fe0e50565afd2b8f2"
+    },
+    {
+      "bytes": 38387,
+      "path": "data/dev/pee/mathlib-000709-0000-694b10c67216f79f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "694b10c67216f79f355b91ca29f32d5ad274508f16c5f5886fc304d9f01ef6cd"
+    },
+    {
+      "bytes": 50121,
+      "path": "data/internal_test/pee/mathlib-000709-0000-78f9319eba876e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78f9319eba876e0c30224f02f64971d16f553fda72c3f360e2237e7f3b944d29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000710.json b/manifests/batches/mathlib/000710.json
index 7fbef746f04f37dde6ba0925446398e78e7b8b75..3765816b2cc7de2a69b7d7d69591583b19ad1940 100644
--- a/manifests/batches/mathlib/000710.json
+++ b/manifests/batches/mathlib/000710.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000710",
   "batch_fingerprint": "9740afea20c13ec16c97f381fa1d447e3c236a973d06206016410406ff84ac70",
   "evidence": {
@@ -1525,22 +1524,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000710-0000-f781aad44b92ea6d.parquet",
-      "sha256": "f781aad44b92ea6d1746e1f17eb8499633b6382aafc57281d76114dfd8daba62",
-      "bytes": 93858,
-      "rows": 24,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000710-0000-f10f076f0fdeed89.parquet",
-      "sha256": "f10f076f0fdeed89783698eda101aa60f56be7f0f719313126f32b4a8cd9d8d7",
-      "bytes": 55074,
-      "rows": 4,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.IsZero.obj",
     "mathlib:CategoryTheory.Limits.Types.Image.lift_fac",
@@ -1570,5 +1554,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Types.lean\",null,null,\"CategoryTheory.Limits.Types.isLimitEquivSections_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Types.lean\",null,null,\"CategoryTheory.Limits.Types.isLimit_iff_bijective_sectionOfCone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/Types.lean\",null,null,\"CategoryTheory.Limits.Types.limit_ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93858,
+      "path": "data/train/paa/mathlib-000710-0000-f781aad44b92ea6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f781aad44b92ea6d1746e1f17eb8499633b6382aafc57281d76114dfd8daba62"
+    },
+    {
+      "bytes": 55074,
+      "path": "data/internal_test/paa/mathlib-000710-0000-f10f076f0fdeed89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f10f076f0fdeed89783698eda101aa60f56be7f0f719313126f32b4a8cd9d8d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000711.json b/manifests/batches/mathlib/000711.json
index 5596c2c7ad6c8d83bb504f1c1c9d740929a5c055..f5a84395a31f5dbc2ea77652287f032cdaac6b16 100644
--- a/manifests/batches/mathlib/000711.json
+++ b/manifests/batches/mathlib/000711.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000711",
   "batch_fingerprint": "a3d26b64d4f4664144e79ab98063f5b18104a44d175c35e043b7bfbcb97f59c3",
   "evidence": {
@@ -5037,15 +5036,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000711-0000-05d6febe7cf2123d.parquet",
-      "sha256": "05d6febe7cf2123d4c55198d48df851fa7144162cc3dde4a5894262cbfc5f657",
-      "bytes": 52362,
-      "rows": 3,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.Types.FilteredColimit.colimit_eq_iff_aux",
     "mathlib:CategoryTheory.Limits.Types.FilteredColimit.rel_of_quot_rel"
@@ -5053,5 +5044,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/TypesFiltered.lean\",null,null,\"CategoryTheory.Limits.Types.FilteredColimit.colimit_eq_iff_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Limits/TypesFiltered.lean\",null,null,\"CategoryTheory.Limits.Types.FilteredColimit.rel_of_quot_rel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52362,
+      "path": "data/train/pb2/mathlib-000711-0000-05d6febe7cf2123d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "05d6febe7cf2123d4c55198d48df851fa7144162cc3dde4a5894262cbfc5f657"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000712.json b/manifests/batches/mathlib/000712.json
index c4a47b9d3c2a5b89e7f78f38dca3a27543d747f8..379ab40f6dcc54a6b58854751ab8a9b8634db31e 100644
--- a/manifests/batches/mathlib/000712.json
+++ b/manifests/batches/mathlib/000712.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000712",
   "batch_fingerprint": "c9bc8c8831f20a033ff4103db10eda222fe659b58631f01220a6fc80645884fb",
   "evidence": {
@@ -83,28 +82,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CategoryTheory.Linear.comp_units_smul",
+    "mathlib:CategoryTheory.Linear.units_smul_comp"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Linear/Basic.lean\",null,null,\"CategoryTheory.Linear.comp_units_smul\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Linear/Basic.lean\",null,null,\"CategoryTheory.Linear.units_smul_comp\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000712-0000-659e1dcb7fc4f606.parquet",
-      "sha256": "659e1dcb7fc4f60616626337d4ae779cc3075d393b63c29c1124cba29f5d49e6",
       "bytes": 33895,
+      "path": "data/train/pa3/mathlib-000712-0000-659e1dcb7fc4f606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
+      "sha256": "659e1dcb7fc4f60616626337d4ae779cc3075d393b63c29c1124cba29f5d49e6"
     },
     {
-      "path": "data/dev/mathlib-000712-0000-4ae8e2e40ff77a38.parquet",
-      "sha256": "4ae8e2e40ff77a38abb7136a5c5a6abbe2f85749d31961398774c37f9c544bbb",
       "bytes": 34012,
+      "path": "data/dev/pa3/mathlib-000712-0000-4ae8e2e40ff77a38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
+      "sha256": "4ae8e2e40ff77a38abb7136a5c5a6abbe2f85749d31961398774c37f9c544bbb"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CategoryTheory.Linear.comp_units_smul",
-    "mathlib:CategoryTheory.Linear.units_smul_comp"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Linear/Basic.lean\",null,null,\"CategoryTheory.Linear.comp_units_smul\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Linear/Basic.lean\",null,null,\"CategoryTheory.Linear.units_smul_comp\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000713.json b/manifests/batches/mathlib/000713.json
index dbe9785728a4b77f032ebbd04369553fdb83c9e4..78e05b7543c2770fc7c75fb452bff3014033b432 100644
--- a/manifests/batches/mathlib/000713.json
+++ b/manifests/batches/mathlib/000713.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000713",
   "batch_fingerprint": "88bef5c7b9cefdb6ee1027a3b13c596c148afe4b83a7377deb7159bbbf11525c",
   "evidence": {
@@ -150,19 +149,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000713-0000-784cd3733323e8de.parquet",
-      "sha256": "784cd3733323e8de62e4bae21a1691e0aa96a03bb665a9906e3d767e22331c3c",
-      "bytes": 40894,
-      "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.map_units_smul"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Linear/LinearFunctor.lean\",null,null,\"CategoryTheory.Functor.map_units_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40894,
+      "path": "data/train/p4a/mathlib-000713-0000-784cd3733323e8de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "784cd3733323e8de62e4bae21a1691e0aa96a03bb665a9906e3d767e22331c3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000714.json b/manifests/batches/mathlib/000714.json
index 0e2ca30b007c67724bb34a64945556abaa78a0ca..d05369719abcc38788ccb0e61343201622980ee7 100644
--- a/manifests/batches/mathlib/000714.json
+++ b/manifests/batches/mathlib/000714.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000714",
   "batch_fingerprint": "930b31b8165deba229a1e96255a4b62ae0c21db61ec8f070f9460dc84827b598",
   "evidence": {
@@ -534,22 +533,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000714-0000-c1fc51157ee9273a.parquet",
-      "sha256": "c1fc51157ee9273a35f7aad04a12110da5456e3d3e6a1308db742aa3b3044d16",
-      "bytes": 81517,
-      "rows": 10,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/mathlib-000714-0000-74dab00ef252e216.parquet",
-      "sha256": "74dab00ef252e216db327a3d8a55b6c7b47e4fb0e6343e6124fa5f02587b3d8e",
-      "bytes": 59907,
-      "rows": 2,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.Localization.\u03b5_app",
     "mathlib:CategoryTheory.Adjunction.localization_counit_app",
@@ -565,5 +549,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Bousfield.lean\",null,null,\"CategoryTheory.Localization.LeftBousfield.W_adj_unit_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Bousfield.lean\",null,null,\"CategoryTheory.Localization.LeftBousfield.W_eq_inverseImage_isomorphisms\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Bousfield.lean\",null,null,\"CategoryTheory.Localization.LeftBousfield.isLocalization\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81517,
+      "path": "data/train/pb3/mathlib-000714-0000-c1fc51157ee9273a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c1fc51157ee9273a35f7aad04a12110da5456e3d3e6a1308db742aa3b3044d16"
+    },
+    {
+      "bytes": 59907,
+      "path": "data/dev/pb3/mathlib-000714-0000-74dab00ef252e216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "74dab00ef252e216db327a3d8a55b6c7b47e4fb0e6343e6124fa5f02587b3d8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000715.json b/manifests/batches/mathlib/000715.json
index 1d0d3755096a46a6bf46fd9f8df61e3bba73e048..32426b42ea3fd6d7a58786e5217ab634595d6629 100644
--- a/manifests/batches/mathlib/000715.json
+++ b/manifests/batches/mathlib/000715.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000715",
   "batch_fingerprint": "d814af58882932f2805d8fccdeed9d632d5a4cdd4881c8fe4055dfddf4f1ae09",
   "evidence": {
@@ -1858,22 +1857,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000715-0000-0eb0700b7a68b867.parquet",
-      "sha256": "0eb0700b7a68b867227199a710be8765a986cfd561b42c7ca980d1ba065cee0d",
-      "bytes": 224175,
-      "rows": 46,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000715-0000-a591fb510c63f6c1.parquet",
-      "sha256": "a591fb510c63f6c1a4fa9ba3a987d60048032b02f34b49a1b13cad13f4867691",
-      "bytes": 105853,
-      "rows": 12,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Localization.essSurj_mapArrow",
     "mathlib:CategoryTheory.Localization.essSurj_mapArrow_of_hasRightCalculusOfFractions",
@@ -1925,5 +1909,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions.lean\",null,null,\"CategoryTheory.MorphismProperty.RightFractionRel.op\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions.lean\",null,null,\"CategoryTheory.MorphismProperty.RightFractionRel.unop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions/ComposableArrows.lean\",null,null,\"CategoryTheory.Localization.essSurj_mapComposableArrows\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224175,
+      "path": "data/train/p45/mathlib-000715-0000-0eb0700b7a68b867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "0eb0700b7a68b867227199a710be8765a986cfd561b42c7ca980d1ba065cee0d"
+    },
+    {
+      "bytes": 105853,
+      "path": "data/internal_test/p45/mathlib-000715-0000-a591fb510c63f6c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a591fb510c63f6c1a4fa9ba3a987d60048032b02f34b49a1b13cad13f4867691"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000716.json b/manifests/batches/mathlib/000716.json
index 9780f01321da713fc92bc71a838105235f49b19e..7ce4cdbf9a48e87e4b8c86714152e5ec3eb23b63 100644
--- a/manifests/batches/mathlib/000716.json
+++ b/manifests/batches/mathlib/000716.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000716",
   "batch_fingerprint": "a0a976eb0eda0448794f870925baf1dea8f646f3ad726d327d9b807e3068c03b",
   "evidence": {
@@ -1156,22 +1155,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000716-0000-a6ea0d9046f2ffc7.parquet",
-      "sha256": "a6ea0d9046f2ffc7c36485b8b535113f52e8e0935bf8430e03ce641c1af9d7c8",
-      "bytes": 201465,
-      "rows": 49,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/mathlib-000716-0000-f8126ea65ac54065.parquet",
-      "sha256": "f8126ea65ac540652173fb7e146af2ebe5fb1310b80627bdf770388f184f4945",
-      "bytes": 39954,
-      "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Localization.Preadditive.add'_assoc",
     "mathlib:CategoryTheory.Localization.Preadditive.add'_comm",
@@ -1207,5 +1191,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions/Preadditive.lean\",null,null,\"CategoryTheory.Localization.functor_additive\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions/Preadditive.lean\",null,null,\"CategoryTheory.MorphismProperty.LeftFraction\u2082.map_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/CalculusOfFractions/Preadditive.lean\",null,null,\"CategoryTheory.MorphismProperty.LeftFraction\u2082.symm_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201465,
+      "path": "data/train/pc4/mathlib-000716-0000-a6ea0d9046f2ffc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "a6ea0d9046f2ffc7c36485b8b535113f52e8e0935bf8430e03ce641c1af9d7c8"
+    },
+    {
+      "bytes": 39954,
+      "path": "data/dev/pc4/mathlib-000716-0000-f8126ea65ac54065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f8126ea65ac540652173fb7e146af2ebe5fb1310b80627bdf770388f184f4945"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000717.json b/manifests/batches/mathlib/000717.json
index 039ef8d6e4ecffced6db334a7e91528f6fec7ef3..1c011c3f082f7255416d5a7e4c6bf20e079b72e6 100644
--- a/manifests/batches/mathlib/000717.json
+++ b/manifests/batches/mathlib/000717.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000717",
   "batch_fingerprint": "cad4f77d5bb538c1c5fd62658563926a6df11f260e1e03aaa79dd075a12cf186",
   "evidence": {
@@ -730,22 +729,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000717-0000-604bfcb4d62acb5d.parquet",
-      "sha256": "604bfcb4d62acb5d14eee98b2cd5f79c6a42e2ca426bf34879bd78ed9518e17c",
-      "bytes": 69741,
-      "rows": 8,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/mathlib-000717-0000-4a112363ac9be0d9.parquet",
-      "sha256": "4a112363ac9be0d992e7ab19bdd2b616565789df62696af2d31fe452578155e4",
-      "bytes": 51789,
-      "rows": 3,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Localization.Construction.NatTransExtension.app_eq",
     "mathlib:CategoryTheory.Localization.Construction.fac",
@@ -757,5 +741,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Construction.lean\",null,null,\"CategoryTheory.Localization.Construction.fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Construction.lean\",null,null,\"CategoryTheory.Localization.Construction.natTransExtension_hcomp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Construction.lean\",null,null,\"CategoryTheory.Localization.Construction.natTrans_hcomp_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69741,
+      "path": "data/train/p91/mathlib-000717-0000-604bfcb4d62acb5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "604bfcb4d62acb5d14eee98b2cd5f79c6a42e2ca426bf34879bd78ed9518e17c"
+    },
+    {
+      "bytes": 51789,
+      "path": "data/dev/p91/mathlib-000717-0000-4a112363ac9be0d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a112363ac9be0d992e7ab19bdd2b616565789df62696af2d31fe452578155e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000718.json b/manifests/batches/mathlib/000718.json
index 3bbf34cc3479fbdd1daae32fc3696f18c058ff61..74e9dcd15fa51bec350dab8b6405681fb3112fdb 100644
--- a/manifests/batches/mathlib/000718.json
+++ b/manifests/batches/mathlib/000718.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000718",
   "batch_fingerprint": "ebcbe0c006850208a20ade7cc70ac70f2f2542e504355c4f6c182506fe65fed5",
   "evidence": {
@@ -464,15 +463,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000718-0000-2b4cebf7d5abe9ea.parquet",
-      "sha256": "2b4cebf7d5abe9ea7b5b1b9c63c4929557bc5c1ea8251f6f147159084cf24303",
-      "bytes": 70256,
-      "rows": 4,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.mk'",
     "mathlib:CategoryTheory.LocalizerMorphism.guitartExact_of_isRightDerivabilityStructure'"
@@ -480,5 +471,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/DerivabilityStructure/Basic.lean\",null,null,\"CategoryTheory.LocalizerMorphism.guitartExact_of_isRightDerivabilityStructure'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/DerivabilityStructure/Constructor.lean\",null,null,\"CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.mk'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70256,
+      "path": "data/train/p80/mathlib-000718-0000-2b4cebf7d5abe9ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2b4cebf7d5abe9ea7b5b1b9c63c4929557bc5c1ea8251f6f147159084cf24303"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000719.json b/manifests/batches/mathlib/000719.json
index b3dbcea2bbe867d42c0692f9f4e8b5a6c6822ea4..b47efb389182fac9eb7d4abdcb3fe7af8fee5826 100644
--- a/manifests/batches/mathlib/000719.json
+++ b/manifests/batches/mathlib/000719.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000719",
   "batch_fingerprint": "69917832eff001b2fb58cfe0c86a3d38b87a87a90b22727c7672a0de8c3552cc",
   "evidence": {
@@ -174,15 +173,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000719-0000-2181f6bd1a70ae0c.parquet",
-      "sha256": "2181f6bd1a70ae0c425c5359dd53ae09cc7f4ae58b719a615df3b75226f06be4",
-      "bytes": 87522,
-      "rows": 8,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.IsLocalization.of_equivalences",
     "mathlib:CategoryTheory.Localization.HasProductsOfShapeAux.adj_counit_app",
@@ -192,5 +183,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Equivalence.lean\",null,null,\"CategoryTheory.Functor.IsLocalization.of_equivalences\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Equivalence.lean\",null,null,\"CategoryTheory.Localization.equivalence_counitIso_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/FiniteProducts.lean\",null,null,\"CategoryTheory.Localization.HasProductsOfShapeAux.adj_counit_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87522,
+      "path": "data/train/p60/mathlib-000719-0000-2181f6bd1a70ae0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2181f6bd1a70ae0c425c5359dd53ae09cc7f4ae58b719a615df3b75226f06be4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000720.json b/manifests/batches/mathlib/000720.json
index 42e83190eedfd9397352219d5e7bd02d91454a69..402965d7f1de647f4ffb251344b7330f9c02f9a0 100644
--- a/manifests/batches/mathlib/000720.json
+++ b/manifests/batches/mathlib/000720.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000720",
   "batch_fingerprint": "789310406a8b23c791e52161e0ff52e8cb5ac42fd9f9924dba9481c9bace5b1b",
   "evidence": {
@@ -139,15 +138,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000720-0000-e6386e482ee65199.parquet",
-      "sha256": "e6386e482ee65199611488c697e35099da9c9c12948bd3ffaaab08f881fb5b8d",
-      "bytes": 165585,
-      "rows": 24,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Localization.homEquiv_comp",
     "mathlib:CategoryTheory.Localization.homEquiv_eq",
@@ -177,5 +168,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/HomEquiv.lean\",null,null,\"CategoryTheory.LocalizerMorphism.homMap_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/LocalizerMorphism.lean\",null,null,\"CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.mk'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/LocalizerMorphism.lean\",null,null,\"CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.of_isLocalization_of_isLocalization\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165585,
+      "path": "data/train/p8d/mathlib-000720-0000-e6386e482ee65199.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "e6386e482ee65199611488c697e35099da9c9c12948bd3ffaaab08f881fb5b8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000721.json b/manifests/batches/mathlib/000721.json
index 13663301ee3440118041e077a626ff86b0e9eae3..1b76dfb341d8c364ed7eed22f40aa3838d58bb00 100644
--- a/manifests/batches/mathlib/000721.json
+++ b/manifests/batches/mathlib/000721.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000721",
   "batch_fingerprint": "64bbe3818d2da82fbae63b41482f0dd8929740eafaf555171f49e994af95d347",
   "evidence": {
@@ -674,15 +673,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000721-0000-a304ae081f9b45e3.parquet",
-      "sha256": "a304ae081f9b45e3b0aec2ab6880afcbf331149ac0eaf8d890cdde0c9c0c7af4",
-      "bytes": 102579,
-      "rows": 17,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.IsLocalization.of_isEquivalence",
     "mathlib:CategoryTheory.Functor.IsLocalization.of_iso",
@@ -702,5 +693,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Predicate.lean\",null,null,\"CategoryTheory.Localization.natTrans_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Prod.lean\",null,null,\"CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Prod.lean\",null,null,\"CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_fac\u2082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102579,
+      "path": "data/train/p35/mathlib-000721-0000-a304ae081f9b45e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a304ae081f9b45e3b0aec2ab6880afcbf331149ac0eaf8d890cdde0c9c0c7af4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000722.json b/manifests/batches/mathlib/000722.json
index 6bb0977a857e8a92259619d4884b0580f2ec7dab..74a14620376250784d675749ea56d514ccf04ba6 100644
--- a/manifests/batches/mathlib/000722.json
+++ b/manifests/batches/mathlib/000722.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000722",
   "batch_fingerprint": "202d60cd0f28b782ccc2fbc4c61c11f2122c32d6ddf1380db85185016c0bcaa7",
   "evidence": {
@@ -1308,15 +1307,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000722-0000-e9fad544e712c15f.parquet",
-      "sha256": "e9fad544e712c15f2f250c41c766eee2904d9553fe1508180603fe4be41e02f6",
-      "bytes": 83575,
-      "rows": 10,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.essImageDistTriang_mem_of_iso",
     "mathlib:CategoryTheory.LocalizerMorphism.essSurj_of_hasLeftResolutions",
@@ -1328,5 +1319,14 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Triangulated.lean\",null,null,\"CategoryTheory.Functor.essImageDistTriang_mem_of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Localization/Triangulated.lean\",null,null,\"CategoryTheory.Triangulated.Localization.isTriangulated\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83575,
+      "path": "data/train/pdc/mathlib-000722-0000-e9fad544e712c15f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e9fad544e712c15f2f250c41c766eee2904d9553fe1508180603fe4be41e02f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000723.json b/manifests/batches/mathlib/000723.json
index 8922ba2c008cfe1650b9d8109c006ddd6adaa62c..5256af91cad67b8425f97256556c88cb11b5110d 100644
--- a/manifests/batches/mathlib/000723.json
+++ b/manifests/batches/mathlib/000723.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000723",
   "batch_fingerprint": "3fcc62c9636228dadbc323a48e2fa77f7dc71992f9b84518fcc37a6e5aa6cfcf",
   "evidence": {
@@ -499,19 +498,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000723-0000-61feb67efc6d694d.parquet",
-      "sha256": "61feb67efc6d694dc88b23a20e08a65c64ab2d37895e4c46e0c1f1f7a93b8ac7",
-      "bytes": 33915,
-      "rows": 1,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Reflective.comparison_full"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monad/Adjunction.lean\",null,null,\"CategoryTheory.Reflective.comparison_full\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33915,
+      "path": "data/train/p3c/mathlib-000723-0000-61feb67efc6d694d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "61feb67efc6d694dc88b23a20e08a65c64ab2d37895e4c46e0c1f1f7a93b8ac7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000724.json b/manifests/batches/mathlib/000724.json
index 45b1c39339cab1cd6a02e8808498812427085cc9..8b524081dc12c8b6cfd25875a1694daa25a45ec7 100644
--- a/manifests/batches/mathlib/000724.json
+++ b/manifests/batches/mathlib/000724.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000724",
   "batch_fingerprint": "16e70f4c12b39713479a0eb0b2f019b88dfde3650bb9d5e7c06602cf21675a85",
   "evidence": {
@@ -396,7 +395,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000725.json b/manifests/batches/mathlib/000725.json
index cca66307dda90f9dc79cfd03ce30712063d8e992..be4aa07cab76b658d1b43baccb3dc0fe0692a93e 100644
--- a/manifests/batches/mathlib/000725.json
+++ b/manifests/batches/mathlib/000725.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000725",
   "batch_fingerprint": "d626e571af3d1b2d83bb0cb6694e709294c9afb7a11261dc671b862d0dec414c",
   "evidence": {
@@ -194,19 +193,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000725-0000-6790ef03eb839c70.parquet",
-      "sha256": "6790ef03eb839c7010d0774fb374da7669bed2e1d0bec23720abf912cac7c405",
-      "bytes": 71825,
-      "rows": 5,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.hasColimitsOfShape_of_reflective"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monad/Limits.lean\",null,null,\"CategoryTheory.hasColimitsOfShape_of_reflective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71825,
+      "path": "data/train/p97/mathlib-000725-0000-6790ef03eb839c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6790ef03eb839c7010d0774fb374da7669bed2e1d0bec23720abf912cac7c405"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000726.json b/manifests/batches/mathlib/000726.json
index fccca7121fb1f71520a6dce38f0e136daa4ac1b6..28053715bba5cafcce1070ee08a5abe9f2b20b08 100644
--- a/manifests/batches/mathlib/000726.json
+++ b/manifests/batches/mathlib/000726.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000726",
   "batch_fingerprint": "70cad7d861d4e97c385f90305e3e77bc3128a02b2fa9f88d3ec8ae26c0853ef1",
   "evidence": {
@@ -3471,15 +3470,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000726-0000-6c00428fd2709eec.parquet",
-      "sha256": "6c00428fd2709eeccb8682597e929c5dc6c0dae7fbd3cbdb01d99e739016a5c0",
-      "bytes": 118987,
-      "rows": 8,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_counit_app",
     "mathlib:CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_unit_f"
@@ -3487,5 +3478,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monad/Monadicity.lean\",null,null,\"CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_counit_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monad/Monadicity.lean\",null,null,\"CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_unit_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118987,
+      "path": "data/train/p9c/mathlib-000726-0000-6c00428fd2709eec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6c00428fd2709eeccb8682597e929c5dc6c0dae7fbd3cbdb01d99e739016a5c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000727.json b/manifests/batches/mathlib/000727.json
index 6ab6a7baf1ade6aad27dc0e90d53cc1120c065a3..1728f83f0b7ace24f3c3bd523c81e512bf883966 100644
--- a/manifests/batches/mathlib/000727.json
+++ b/manifests/batches/mathlib/000727.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000727",
   "batch_fingerprint": "66514896d73bde571403e269d93c9acd2a756bab68f3ad045dda0c5a2a21a1d1",
   "evidence": {
@@ -2229,7 +2228,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000728.json b/manifests/batches/mathlib/000728.json
index 3c6ac3ac6f2e0a477f4d97c8ff89665a0d5ff24e..549367ae0885245a15cb7bea85c81ef276ebddeb 100644
--- a/manifests/batches/mathlib/000728.json
+++ b/manifests/batches/mathlib/000728.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000728",
   "batch_fingerprint": "559ffaa2335373b6c4049abbff0044456bdc07e0113ca3bb06962af6ea635c44",
   "evidence": {
@@ -359,29 +358,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000728-0000-d2846e5ed1b13bc4.parquet",
-      "sha256": "d2846e5ed1b13bc4ec83cbcc98ac3106a0fd3643c116b2fd8a07a425afd1c386",
-      "bytes": 383919,
-      "rows": 103,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/dev/mathlib-000728-0000-917dcb3a2055d2e6.parquet",
-      "sha256": "917dcb3a2055d2e6f25c4cb5659f8ce690819dd54ea494e425672ff6dc065e5b",
-      "bytes": 58180,
-      "rows": 8,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000728-0000-3867c6e763c3577f.parquet",
-      "sha256": "3867c6e763c3577ff6177f6ebb9a120d6e44932f0dc372f44c0f0e2c568c0eee",
-      "bytes": 51597,
-      "rows": 8,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MonoidalCategory.associator_conjugation",
     "mathlib:CategoryTheory.MonoidalCategory.associator_inv_conjugation",
@@ -565,5 +542,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Category.lean\",null,null,\"CategoryTheory.MonoidalCategory.whisker_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Category.lean\",null,null,\"CategoryTheory.MonoidalCategory.whisker_assoc_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Category.lean\",null,null,\"CategoryTheory.MonoidalCategory.whisker_exchange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383919,
+      "path": "data/train/p87/mathlib-000728-0000-d2846e5ed1b13bc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "d2846e5ed1b13bc4ec83cbcc98ac3106a0fd3643c116b2fd8a07a425afd1c386"
+    },
+    {
+      "bytes": 58180,
+      "path": "data/dev/p87/mathlib-000728-0000-917dcb3a2055d2e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "917dcb3a2055d2e6f25c4cb5659f8ce690819dd54ea494e425672ff6dc065e5b"
+    },
+    {
+      "bytes": 51597,
+      "path": "data/internal_test/p87/mathlib-000728-0000-3867c6e763c3577f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3867c6e763c3577ff6177f6ebb9a120d6e44932f0dc372f44c0f0e2c568c0eee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000729.json b/manifests/batches/mathlib/000729.json
index db98570761f8135870a990245c96f2d27b0dc140..0ff75c702592f1b9032d010c80cf46a48f578b8d 100644
--- a/manifests/batches/mathlib/000729.json
+++ b/manifests/batches/mathlib/000729.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000729",
   "batch_fingerprint": "be4381178188efd1e1228ec589b90fc09020f7a1e30f26cd99e4d02f0f8cfee4",
   "evidence": {
@@ -432,29 +431,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000729-0000-2e6bfc343a374bc5.parquet",
-      "sha256": "2e6bfc343a374bc5ce3c7c94646d4b47894413067c9df98544565bfe6943758d",
-      "bytes": 71309,
-      "rows": 14,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/dev/mathlib-000729-0000-a79640b4b44159be.parquet",
-      "sha256": "a79640b4b44159beae2b35ddf2d714efaca56725ce23cf44b4c55d73fad43086",
-      "bytes": 49932,
-      "rows": 3,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000729-0000-e031a439ec9d0441.parquet",
-      "sha256": "e031a439ec9d044101f11b1f39bc708985ed62fb0733309160d045fa86e66ee9",
-      "bytes": 50427,
-      "rows": 4,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Center.associator_inv_f",
     "mathlib:CategoryTheory.Center.ext",
@@ -484,5 +461,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean\",null,null,\"CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean\",null,null,\"CategoryTheory.MonoidalCategory.unitors_equal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/CoherenceLemmas.lean\",null,null,\"CategoryTheory.MonoidalCategory.unitors_inv_equal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71309,
+      "path": "data/train/pa3/mathlib-000729-0000-2e6bfc343a374bc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "2e6bfc343a374bc5ce3c7c94646d4b47894413067c9df98544565bfe6943758d"
+    },
+    {
+      "bytes": 49932,
+      "path": "data/dev/pa3/mathlib-000729-0000-a79640b4b44159be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a79640b4b44159beae2b35ddf2d714efaca56725ce23cf44b4c55d73fad43086"
+    },
+    {
+      "bytes": 50427,
+      "path": "data/internal_test/pa3/mathlib-000729-0000-e031a439ec9d0441.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e031a439ec9d044101f11b1f39bc708985ed62fb0733309160d045fa86e66ee9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000730.json b/manifests/batches/mathlib/000730.json
index 5690ad189212d2970cdf9d0d7deb9b4ec29be174..ad862de727633879c22e58f8e2fe1c04d85811f7 100644
--- a/manifests/batches/mathlib/000730.json
+++ b/manifests/batches/mathlib/000730.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000730",
   "batch_fingerprint": "4452138ca20d06a0ec23abd3a2e6260b5789eeaa3b4344156ee8792f3fc269ad",
   "evidence": {
@@ -541,7 +540,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000731.json b/manifests/batches/mathlib/000731.json
index 7f9ec655d6f24e478535dd9726b3a7fcc47a700d..0f7bb38e831237a64688c6398d150e548d3c4869 100644
--- a/manifests/batches/mathlib/000731.json
+++ b/manifests/batches/mathlib/000731.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000731",
   "batch_fingerprint": "9829808f26eabc7f9da324526b08db6208f160a21078bec008dd27e2747d4322",
   "evidence": {
@@ -648,29 +647,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000731-0000-be3f3428df7169e6.parquet",
-      "sha256": "be3f3428df7169e68b4bb9b64ac8f8735eeb921f0575a1d057b62c67092af3df",
-      "bytes": 275516,
-      "rows": 24,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/dev/mathlib-000731-0000-b3e28b09cffb9e0a.parquet",
-      "sha256": "b3e28b09cffb9e0a34c517db15e063fe2868c7f1cd901b1b3484d155f30b9949",
-      "bytes": 93985,
-      "rows": 6,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/mathlib-000731-0000-10f3e113ec288bba.parquet",
-      "sha256": "10f3e113ec288bbab6406715513a69f442e85e08a1d1f25d902a7f55a2d8a29c",
-      "bytes": 85376,
-      "rows": 5,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.associativity_app",
     "mathlib:CategoryTheory.left_unitality_app",
@@ -704,5 +681,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/End.lean\",null,null,\"CategoryTheory.\u03bc_naturality\u1d63\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/End.lean\",null,null,\"CategoryTheory.\u03bc_naturality\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/End.lean\",null,null,\"CategoryTheory.\u03bc_naturality\u2097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275516,
+      "path": "data/train/p4c/mathlib-000731-0000-be3f3428df7169e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "be3f3428df7169e68b4bb9b64ac8f8735eeb921f0575a1d057b62c67092af3df"
+    },
+    {
+      "bytes": 93985,
+      "path": "data/dev/p4c/mathlib-000731-0000-b3e28b09cffb9e0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b3e28b09cffb9e0a34c517db15e063fe2868c7f1cd901b1b3484d155f30b9949"
+    },
+    {
+      "bytes": 85376,
+      "path": "data/internal_test/p4c/mathlib-000731-0000-10f3e113ec288bba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "10f3e113ec288bbab6406715513a69f442e85e08a1d1f25d902a7f55a2d8a29c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000732.json b/manifests/batches/mathlib/000732.json
index 8f2ffec4c867a391494786bafe18bef3da0dbcd5..e0e07207cb948a173b91113671b9237a03f456be 100644
--- a/manifests/batches/mathlib/000732.json
+++ b/manifests/batches/mathlib/000732.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000732",
   "batch_fingerprint": "6e6e3d59cc7d7a0adb1e4ac77e1e9f9ad4fa53c2453f1bce5df543003a57f3d5",
   "evidence": {
@@ -1009,15 +1008,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000732-0000-673959c53a579869.parquet",
-      "sha256": "673959c53a57986997de5c20edd8757776437a430a83f292eddd26d2d0765150",
-      "bytes": 70260,
-      "rows": 10,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_eq",
     "mathlib:CategoryTheory.FreeMonoidalCategory.tensorFunc_obj_map"
@@ -1025,5 +1016,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean\",null,null,\"CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean\",null,null,\"CategoryTheory.FreeMonoidalCategory.tensorFunc_obj_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70260,
+      "path": "data/train/p8d/mathlib-000732-0000-673959c53a579869.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "673959c53a57986997de5c20edd8757776437a430a83f292eddd26d2d0765150"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000733.json b/manifests/batches/mathlib/000733.json
index 355c2b3969a5380985af7e046b95bb3d26d3851e..201dcbcc66239914c38cbac6d1c0e3f94d5ad8cc 100644
--- a/manifests/batches/mathlib/000733.json
+++ b/manifests/batches/mathlib/000733.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000733",
   "batch_fingerprint": "cfa991f8b6f4f5d8c1b4394a426c0ab6cfba5cc90cc8b1906b4298ee78039ed8",
   "evidence": {
@@ -414,29 +413,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000733-0000-74d385e0e08ebc63.parquet",
-      "sha256": "74d385e0e08ebc63d91ba810144bf1d97e48c50b37d48f91e127869f4b54efff",
-      "bytes": 111785,
-      "rows": 16,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/dev/mathlib-000733-0000-271ef7d78ef8ca83.parquet",
-      "sha256": "271ef7d78ef8ca83e4e2a1fe28c6c59b37b1fe9b9048e4cd33a7e0072dd53b5c",
-      "bytes": 34742,
-      "rows": 1,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/mathlib-000733-0000-402354d2ae481eeb.parquet",
-      "sha256": "402354d2ae481eebfa4e1a35a902984305ad9aafc66de5114707f506562d0fbb",
-      "bytes": 35702,
-      "rows": 1,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.LaxMonoidalFunctor.associativity_inv",
     "mathlib:CategoryTheory.LaxMonoidalFunctor.left_unitality_inv",
@@ -468,5 +445,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Functor.lean\",null,null,\"CategoryTheory.OplaxMonoidalFunctor.left_unitality_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Functor.lean\",null,null,\"CategoryTheory.OplaxMonoidalFunctor.right_unitality_hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Functor.lean\",null,null,\"CategoryTheory.OplaxMonoidalFunctor.\u03b4_natural\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111785,
+      "path": "data/train/pa7/mathlib-000733-0000-74d385e0e08ebc63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "74d385e0e08ebc63d91ba810144bf1d97e48c50b37d48f91e127869f4b54efff"
+    },
+    {
+      "bytes": 34742,
+      "path": "data/dev/pa7/mathlib-000733-0000-271ef7d78ef8ca83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "271ef7d78ef8ca83e4e2a1fe28c6c59b37b1fe9b9048e4cd33a7e0072dd53b5c"
+    },
+    {
+      "bytes": 35702,
+      "path": "data/internal_test/pa7/mathlib-000733-0000-402354d2ae481eeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "402354d2ae481eebfa4e1a35a902984305ad9aafc66de5114707f506562d0fbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000734.json b/manifests/batches/mathlib/000734.json
index c70917506ac8b49407164d75abbdb95caaf2a16c..a4df5d6d0f95698875c05295a2f462396ebbbe86 100644
--- a/manifests/batches/mathlib/000734.json
+++ b/manifests/batches/mathlib/000734.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000734",
   "batch_fingerprint": "8eb269e6dc0c269dbdd57c21a2d435a15e7a95c930212afe093d25253dfaa4f8",
   "evidence": {
@@ -149,19 +148,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000734-0000-cd48d0642aadfe52.parquet",
-      "sha256": "cd48d0642aadfe52ebde81de99e2cd0bcd4e14fea2a12e6ea60c04a229af7a4b",
-      "bytes": 54796,
-      "rows": 2,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.limLax_\u03bc"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Limits.lean\",null,null,\"CategoryTheory.Limits.limLax_\u03bc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54796,
+      "path": "data/train/pfc/mathlib-000734-0000-cd48d0642aadfe52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd48d0642aadfe52ebde81de99e2cd0bcd4e14fea2a12e6ea60c04a229af7a4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000735.json b/manifests/batches/mathlib/000735.json
index d14e4bac631f7894434c9994449003f33d7f4e00..9bd539c6972f3a41eec4882c5a8cdcdf5088d68c 100644
--- a/manifests/batches/mathlib/000735.json
+++ b/manifests/batches/mathlib/000735.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000735",
   "batch_fingerprint": "56d2db6de803cea0c7d0536b0d5391bac327b7c721effdde7f40bd32024da064",
   "evidence": {
@@ -157,15 +156,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000735-0000-850f6e95e3f494ca.parquet",
-      "sha256": "850f6e95e3f494ca7414404e9b60615cd78bea8ebea3863589ee65ba4d8901bf",
-      "bytes": 28681,
-      "rows": 2,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mod_.assoc_flip",
     "mathlib:Mod_.id_hom'"
@@ -173,5 +164,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Mod_.lean\",null,null,\"Mod_.assoc_flip\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Mod_.lean\",null,null,\"Mod_.id_hom'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 28681,
+      "path": "data/train/p0c/mathlib-000735-0000-850f6e95e3f494ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "850f6e95e3f494ca7414404e9b60615cd78bea8ebea3863589ee65ba4d8901bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000736.json b/manifests/batches/mathlib/000736.json
index 828d30f48a21cb33731dcc32179406cc257f5a5a..e616a2324265e359781d0df842937fbec6ce4e47 100644
--- a/manifests/batches/mathlib/000736.json
+++ b/manifests/batches/mathlib/000736.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000736",
   "batch_fingerprint": "50a29a9c18762e2c79aaa05c31ab209cd7a4189859f2d2cb1951017ede90c8ce",
   "evidence": {
@@ -1251,19 +1250,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000736-0000-268947f33ec4eda6.parquet",
-      "sha256": "268947f33ec4eda6abb655afebfba14ba2ae550e0b16b7d400d4b9fc45b538b8",
-      "bytes": 49544,
-      "rows": 1,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MonoidalNatIso.ofComponents.inv_app"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/NaturalTransformation.lean\",null,null,\"CategoryTheory.MonoidalNatIso.ofComponents.inv_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49544,
+      "path": "data/train/p08/mathlib-000736-0000-268947f33ec4eda6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "268947f33ec4eda6abb655afebfba14ba2ae550e0b16b7d400d4b9fc45b538b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000737.json b/manifests/batches/mathlib/000737.json
index b6995827bb73ae4108f877b3929f3f64c6eb757c..96a993deabba0798fd63756ea367a96eec249242 100644
--- a/manifests/batches/mathlib/000737.json
+++ b/manifests/batches/mathlib/000737.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000737",
   "batch_fingerprint": "62550fb3adaeb44af5137a9d0e0ffed01fe185df8ba7efe37f6a2777c15a3a14",
   "evidence": {
@@ -810,15 +809,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000737-0000-338b9c3705a8c62c.parquet",
-      "sha256": "338b9c3705a8c62c8fe9c5ce27fe10d2e2667066c1005c9b57ae4d784fbc358e",
-      "bytes": 94204,
-      "rows": 7,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MonoidalOfChosenFiniteProducts.leftUnitor_naturality",
     "mathlib:CategoryTheory.MonoidalOfChosenFiniteProducts.rightUnitor_naturality",
@@ -828,5 +819,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean\",null,null,\"CategoryTheory.MonoidalOfChosenFiniteProducts.leftUnitor_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean\",null,null,\"CategoryTheory.MonoidalOfChosenFiniteProducts.rightUnitor_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean\",null,null,\"CategoryTheory.MonoidalOfChosenFiniteProducts.triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94204,
+      "path": "data/train/pb7/mathlib-000737-0000-338b9c3705a8c62c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "338b9c3705a8c62c8fe9c5ce27fe10d2e2667066c1005c9b57ae4d784fbc358e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000738.json b/manifests/batches/mathlib/000738.json
index 9cba4d29eb911ef29e0a5672e4eadadcad948ccc..e8fb6faa92cba6627ec4c829c40e32e2fba9e27c 100644
--- a/manifests/batches/mathlib/000738.json
+++ b/manifests/batches/mathlib/000738.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000738",
   "batch_fingerprint": "e4e467539a03b8875b06b178aea3b5179f6914ea1fa40e91a495883867729549",
   "evidence": {
@@ -2086,22 +2085,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000738-0000-3bec3fc3cc27ea9f.parquet",
-      "sha256": "3bec3fc3cc27ea9f33c7544deccc66abf153fdb0ccae556484125c6facdc5adb",
-      "bytes": 42237,
-      "rows": 4,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/dev/mathlib-000738-0000-76e945b9b1abcfba.parquet",
-      "sha256": "76e945b9b1abcfba3975d213a446027d8c3f2b75d0efa397d5f6a724ca709481",
-      "bytes": 35776,
-      "rows": 1,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.monoidalOfHasFiniteProducts.associator_hom_snd_fst",
     "mathlib:CategoryTheory.monoidalOfHasFiniteProducts.associator_hom_snd_snd",
@@ -2115,5 +2099,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean\",null,null,\"CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_fst_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean\",null,null,\"CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_fst_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean\",null,null,\"CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42237,
+      "path": "data/train/p67/mathlib-000738-0000-3bec3fc3cc27ea9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3bec3fc3cc27ea9f33c7544deccc66abf153fdb0ccae556484125c6facdc5adb"
+    },
+    {
+      "bytes": 35776,
+      "path": "data/dev/p67/mathlib-000738-0000-76e945b9b1abcfba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "76e945b9b1abcfba3975d213a446027d8c3f2b75d0efa397d5f6a724ca709481"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000739.json b/manifests/batches/mathlib/000739.json
index e7345832bb334b83349213922ed9cb22bb8e0ad3..11f8237f880a3f1bc4b4fc02daeba59622e25c6e 100644
--- a/manifests/batches/mathlib/000739.json
+++ b/manifests/batches/mathlib/000739.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000739",
   "batch_fingerprint": "02eef1be3ca424f9437ceb58d8afdf1501b0e75b177247d2309c842ede0ca3e2",
   "evidence": {
@@ -2038,29 +2037,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000739-0000-db6ff1f430f86ba3.parquet",
-      "sha256": "db6ff1f430f86ba3545616970f51e5591c39e3a86f6a1554a2f463b5aabd58d2",
-      "bytes": 331633,
-      "rows": 52,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/dev/mathlib-000739-0000-edaa107c8d93d322.parquet",
-      "sha256": "edaa107c8d93d322484d3bcf955e78f9710acb770809205ad4c7ac9a5499c3b1",
-      "bytes": 48892,
-      "rows": 2,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000739-0000-a910d9ba4211ec29.parquet",
-      "sha256": "a910d9ba4211ec2997567db067e9e8bd33bba014525d92c228726f5878202950",
-      "bytes": 43989,
-      "rows": 2,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MonoidalPreadditive.add_tensor",
     "mathlib:CategoryTheory.MonoidalPreadditive.tensor_add",
@@ -2114,5 +2091,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Preadditive.lean\",null,null,\"CategoryTheory.rightDistributor_inv_comp_biproduct_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Preadditive.lean\",null,null,\"CategoryTheory.sum_tensor\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Preadditive.lean\",null,null,\"CategoryTheory.tensor_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331633,
+      "path": "data/train/pb4/mathlib-000739-0000-db6ff1f430f86ba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "db6ff1f430f86ba3545616970f51e5591c39e3a86f6a1554a2f463b5aabd58d2"
+    },
+    {
+      "bytes": 48892,
+      "path": "data/dev/pb4/mathlib-000739-0000-edaa107c8d93d322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "edaa107c8d93d322484d3bcf955e78f9710acb770809205ad4c7ac9a5499c3b1"
+    },
+    {
+      "bytes": 43989,
+      "path": "data/internal_test/pb4/mathlib-000739-0000-a910d9ba4211ec29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a910d9ba4211ec2997567db067e9e8bd33bba014525d92c228726f5878202950"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000740.json b/manifests/batches/mathlib/000740.json
index f1892ca0079c5e9b42e2a5aaadd6270201d0d4a3..9a7fddb069289b0c16c70fabc76b4f0f31389cd0 100644
--- a/manifests/batches/mathlib/000740.json
+++ b/manifests/batches/mathlib/000740.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000740",
   "batch_fingerprint": "79843476e17a6f050193b50fe0fe24efe01f17039406ec103e40297fc8af72d1",
   "evidence": {
@@ -84,15 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000740-0000-68d10c4cc6a9993f.parquet",
-      "sha256": "68d10c4cc6a9993f4484a64d3ecf4f3763f6ba826b123c55aa656fec4380b8a1",
-      "bytes": 39214,
-      "rows": 3,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Tor'_map_app'",
     "mathlib:CategoryTheory.isZero_Tor'_succ_of_projective",
@@ -102,5 +93,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Tor.lean\",null,null,\"CategoryTheory.Tor'_map_app'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Tor.lean\",null,null,\"CategoryTheory.isZero_Tor'_succ_of_projective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Monoidal/Tor.lean\",null,null,\"CategoryTheory.isZero_Tor_succ_of_projective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39214,
+      "path": "data/train/pee/mathlib-000740-0000-68d10c4cc6a9993f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "68d10c4cc6a9993f4484a64d3ecf4f3763f6ba826b123c55aa656fec4380b8a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000741.json b/manifests/batches/mathlib/000741.json
index 36765089ad3268f76b7246e0e7d71b19f2602027..d9a3342bb5ca4610501f66e7ec012fcaf26ad163 100644
--- a/manifests/batches/mathlib/000741.json
+++ b/manifests/batches/mathlib/000741.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000741",
   "batch_fingerprint": "8f2f460049a8ef40e55ddc0f499fe12b842f93cf002d8d682f6bb8e9c8f571ac",
   "evidence": {
@@ -393,7 +392,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000742.json b/manifests/batches/mathlib/000742.json
index a6da54deb6f15aa6e3d1f64986bf0e034121338e..c1704fddac6fc46fbcd679ea4db5f1049a99c481 100644
--- a/manifests/batches/mathlib/000742.json
+++ b/manifests/batches/mathlib/000742.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000742",
   "batch_fingerprint": "51c3d78db40b3caf884a01a0b7e4987652390a609f3cb2afa31ae7c86b16a596",
   "evidence": {
@@ -1228,22 +1227,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000742-0000-0c8d9bce1bf17a3c.parquet",
-      "sha256": "0c8d9bce1bf17a3cd84f9f0cd131be5a8ff0e7efff15f8340cee4f873f33ac6f",
-      "bytes": 139434,
-      "rows": 41,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000742-0000-ed26e28222414cbc.parquet",
-      "sha256": "ed26e28222414cbc578b6113309ba445f995e82a3d13a967ae438efe79448c5f",
-      "bytes": 37284,
-      "rows": 3,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MorphismProperty.RespectsIso.arrow_iso_iff",
     "mathlib:CategoryTheory.MorphismProperty.RespectsIso.cancel_left_isIso",
@@ -1293,5 +1277,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Basic.lean\",null,null,\"CategoryTheory.MorphismProperty.top_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Basic.lean\",null,null,\"CategoryTheory.NatTrans.isIso_app_iff_of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Composition.lean\",null,null,\"CategoryTheory.MorphismProperty.naturalityProperty.stableUnderInverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139434,
+      "path": "data/train/p10/mathlib-000742-0000-0c8d9bce1bf17a3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "0c8d9bce1bf17a3cd84f9f0cd131be5a8ff0e7efff15f8340cee4f873f33ac6f"
+    },
+    {
+      "bytes": 37284,
+      "path": "data/internal_test/p10/mathlib-000742-0000-ed26e28222414cbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ed26e28222414cbc578b6113309ba445f995e82a3d13a967ae438efe79448c5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000743.json b/manifests/batches/mathlib/000743.json
index f92c84479beae3fc9c2ae776ed6fdc7df91f9a34..7baefac11c9891fb6013c518be0660a4f73a56e0 100644
--- a/manifests/batches/mathlib/000743.json
+++ b/manifests/batches/mathlib/000743.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000743",
   "batch_fingerprint": "13c8f29874bd1101b324cdd19cb39bf34878153aef4fa091b61ebbb1f5f8809e",
   "evidence": {
@@ -330,7 +329,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000744.json b/manifests/batches/mathlib/000744.json
index 6d4303ad2a58c4e094e2624441154ae49c2abd99..a89cad263dd388ff525a3b2ef5b2c9ffa83f298f 100644
--- a/manifests/batches/mathlib/000744.json
+++ b/manifests/batches/mathlib/000744.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000744",
   "batch_fingerprint": "3a7f69da9ba6df5446118987cc2e880ff3e8b2e2d0dd177d1fb0acdb34f6d8cb",
   "evidence": {
@@ -1147,22 +1146,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000744-0000-9bb634706cc35e7d.parquet",
-      "sha256": "9bb634706cc35e7d8530c6ac7075a08652c81c9d5e350a78511294fa798c7139",
-      "bytes": 215601,
-      "rows": 40,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/dev/mathlib-000744-0000-308343c9f976251e.parquet",
-      "sha256": "308343c9f976251e4eaaabb3e5a85ed77842e13b4cecba7d5ec76985d85544c6",
-      "bytes": 45153,
-      "rows": 3,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MorphismProperty.FunctorsInverting.ext",
     "mathlib:CategoryTheory.MorphismProperty.IsInvertedBy.iff_map_le_isomorphisms",
@@ -1194,5 +1178,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Limits.lean\",null,null,\"CategoryTheory.MorphismProperty.StableUnderBaseChange.mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Limits.lean\",null,null,\"CategoryTheory.MorphismProperty.StableUnderBaseChange.respectsIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/MorphismProperty/Limits.lean\",null,null,\"CategoryTheory.MorphismProperty.StableUnderCobaseChange.mk\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215601,
+      "path": "data/train/pa4/mathlib-000744-0000-9bb634706cc35e7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9bb634706cc35e7d8530c6ac7075a08652c81c9d5e350a78511294fa798c7139"
+    },
+    {
+      "bytes": 45153,
+      "path": "data/dev/pa4/mathlib-000744-0000-308343c9f976251e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "308343c9f976251e4eaaabb3e5a85ed77842e13b4cecba7d5ec76985d85544c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000745.json b/manifests/batches/mathlib/000745.json
index f3c461a964aea62cf69c3b719d8a39f985637edb..998588eb485b4a4056ee93f59b704f32fa5bd8c1 100644
--- a/manifests/batches/mathlib/000745.json
+++ b/manifests/batches/mathlib/000745.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000745",
   "batch_fingerprint": "c96e8c7a814b9b640c5f75342893a08fc287dea4e24f70f4aa36b68b4d0edf78",
   "evidence": {
@@ -280,22 +279,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000745-0000-5c245a6ea510f6a8.parquet",
-      "sha256": "5c245a6ea510f6a841c2f8404339a0db1e883ff914f93cdc0e094d27b772bbf1",
-      "bytes": 70600,
-      "rows": 16,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000745-0000-de93f7470052a6d4.parquet",
-      "sha256": "de93f7470052a6d4662395d82f0adce469f6b30e0ec4bfc6458b028085cdaa74",
-      "bytes": 40295,
-      "rows": 2,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.NatIso.cancel_natIso_hom_left",
     "mathlib:CategoryTheory.NatIso.cancel_natIso_hom_right",
@@ -331,5 +315,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/NatIso.lean\",null,null,\"CategoryTheory.NatIso.naturality_2'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/NatIso.lean\",null,null,\"CategoryTheory.NatIso.ofComponents.app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/NatTrans.lean\",null,null,\"CategoryTheory.congr_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70600,
+      "path": "data/train/p46/mathlib-000745-0000-5c245a6ea510f6a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5c245a6ea510f6a841c2f8404339a0db1e883ff914f93cdc0e094d27b772bbf1"
+    },
+    {
+      "bytes": 40295,
+      "path": "data/internal_test/p46/mathlib-000745-0000-de93f7470052a6d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de93f7470052a6d4662395d82f0adce469f6b30e0ec4bfc6458b028085cdaa74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000746.json b/manifests/batches/mathlib/000746.json
index ca51834075cff77aebb1a0fe1cb3947202fab700..e28738d4368fa5b81f7acea22e595f532a7b41ba 100644
--- a/manifests/batches/mathlib/000746.json
+++ b/manifests/batches/mathlib/000746.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000746",
   "batch_fingerprint": "a386e3bf21577448d4980abe4bf2aca750b9d53b1ee1e3f24fcfd521ab420cde",
   "evidence": {
@@ -709,22 +708,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000746-0000-17c7809c171befd3.parquet",
-      "sha256": "17c7809c171befd30eee42c7a269bb2eb2d9d2eebcc35d8d734354b740a79f54",
-      "bytes": 65715,
-      "rows": 11,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000746-0000-e12a5e2a4310aef9.parquet",
-      "sha256": "e12a5e2a4310aef9639a22041a3d3421a7a4ab69406650b13b52733b773d9f2a",
-      "bytes": 41603,
-      "rows": 1,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.rightOp_leftOp_eq",
     "mathlib:CategoryTheory.Iso.unop_hom_inv_id_app",
@@ -740,5 +724,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Opposites.lean\",null,null,\"CategoryTheory.Iso.unop_inv_hom_id_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Opposites.lean\",null,null,\"CategoryTheory.op_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Opposites.lean\",null,null,\"CategoryTheory.unop_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65715,
+      "path": "data/train/pb3/mathlib-000746-0000-17c7809c171befd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "17c7809c171befd30eee42c7a269bb2eb2d9d2eebcc35d8d734354b740a79f54"
+    },
+    {
+      "bytes": 41603,
+      "path": "data/internal_test/pb3/mathlib-000746-0000-e12a5e2a4310aef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e12a5e2a4310aef9639a22041a3d3421a7a4ab69406650b13b52733b773d9f2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000747.json b/manifests/batches/mathlib/000747.json
index b7c3249060d5a4b06ce2158b251ba1299c973cf5..e17e6f5c0fec8754646e2173db9a754990b6bf6d 100644
--- a/manifests/batches/mathlib/000747.json
+++ b/manifests/batches/mathlib/000747.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000747",
   "batch_fingerprint": "9bfb926032fad8e10b19e0120b58ce001c836ccc946f8bf241300d04a7fdaea2",
   "evidence": {
@@ -270,19 +269,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/mathlib-000747-0000-a044e19b3ad363b1.parquet",
-      "sha256": "a044e19b3ad363b1bab93fe8fa2fddf5da1f95d4f94e4152ae670722ac1b9707",
-      "bytes": 31626,
-      "rows": 1,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.punit_ext'"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/PUnit.lean\",null,null,\"CategoryTheory.Functor.punit_ext'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 31626,
+      "path": "data/dev/p65/mathlib-000747-0000-a044e19b3ad363b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a044e19b3ad363b1bab93fe8fa2fddf5da1f95d4f94e4152ae670722ac1b9707"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000748.json b/manifests/batches/mathlib/000748.json
index a397b7dbf508e9c14c2795974f6f8bddefa80122..6fcd47c3bc060838019b923ffe43fffc9c777942 100644
--- a/manifests/batches/mathlib/000748.json
+++ b/manifests/batches/mathlib/000748.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000748",
   "batch_fingerprint": "d45637c700cf2dc648836368edbda684da0d792198ebd12bb75f2f55fb5fd2c7",
   "evidence": {
@@ -979,15 +978,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000748-0000-fd13675a42c1d83b.parquet",
-      "sha256": "fd13675a42c1d83bd23c560cda3e23c814eb5bcf2fbc2fef50ab4e1901fdcf4d",
-      "bytes": 48595,
-      "rows": 4,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.eqToHom_proj",
     "mathlib:CategoryTheory.Paths.lift_toPath"
@@ -995,5 +986,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/PathCategory.lean\",null,null,\"CategoryTheory.Paths.lift_toPath\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Pi/Basic.lean\",null,null,\"CategoryTheory.Functor.eqToHom_proj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48595,
+      "path": "data/train/p91/mathlib-000748-0000-fd13675a42c1d83b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fd13675a42c1d83bd23c560cda3e23c814eb5bcf2fbc2fef50ab4e1901fdcf4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000749.json b/manifests/batches/mathlib/000749.json
index e8a74e45eb945ef05d95e69523f34b16add312c9..d689b59589d639cb1ed0475f842a6cb879365985 100644
--- a/manifests/batches/mathlib/000749.json
+++ b/manifests/batches/mathlib/000749.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000749",
   "batch_fingerprint": "b8a377327136626eb9215d71aae301b2a93b36c89399cda78bdce52d1225fdac",
   "evidence": {
@@ -1096,15 +1095,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000749-0000-9a417668b5bba7c4.parquet",
-      "sha256": "9a417668b5bba7c4c014da7f4acd5843ac206ad0d81c09b2b930112300401006",
-      "bytes": 105356,
-      "rows": 24,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.additive_of_comp_faithful",
     "mathlib:CategoryTheory.Functor.additive_of_full_essSurj_comp",
@@ -1136,5 +1127,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Basic.lean\",null,null,\"CategoryTheory.Preadditive.kernelForkOfFork_of\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Basic.lean\",null,null,\"CategoryTheory.Preadditive.mono_of_kernel_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Basic.lean\",null,null,\"CategoryTheory.Preadditive.neg_comp_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105356,
+      "path": "data/train/p64/mathlib-000749-0000-9a417668b5bba7c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9a417668b5bba7c4c014da7f4acd5843ac206ad0d81c09b2b930112300401006"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000750.json b/manifests/batches/mathlib/000750.json
index 2d9a9acc48b54b0d6c97a6277761988b67151f37..33df21b0c9ce03b75d222c1195ddc2ca970458dd 100644
--- a/manifests/batches/mathlib/000750.json
+++ b/manifests/batches/mathlib/000750.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000750",
   "batch_fingerprint": "1a13469e002a9ae1028ee46a5eaf8063f53f4424fd3017b45a7a5f421fb4cec5",
   "evidence": {
@@ -1719,7 +1718,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000751.json b/manifests/batches/mathlib/000751.json
index 333ea42d01e5406380179fb44331bf3319dde446..faef34d4678cd511746a9a94d2d88fc39a2cef7c 100644
--- a/manifests/batches/mathlib/000751.json
+++ b/manifests/batches/mathlib/000751.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000751",
   "batch_fingerprint": "9613b475e8e4d7ccc72d9f206b62e8fbf467fb13d4a00ce8117c6cbdd0eff6cc",
   "evidence": {
@@ -610,15 +609,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000751-0000-e845d4900fd6ffe2.parquet",
-      "sha256": "e845d4900fd6ffe2f7b7f71f7dcd13eef3031d136d0de48e0213d4e29a87b60a",
-      "bytes": 56713,
-      "rows": 8,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.isCoseparator_iff_faithful_preadditiveYoneda",
     "mathlib:CategoryTheory.isCoseparator_iff_faithful_preadditiveYonedaObj",
@@ -630,5 +621,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Generator.lean\",null,null,\"CategoryTheory.isCoseparator_iff_faithful_preadditiveYonedaObj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Generator.lean\",null,null,\"CategoryTheory.isSeparator_iff_faithful_preadditiveCoyoneda\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Generator.lean\",null,null,\"CategoryTheory.isSeparator_iff_faithful_preadditiveCoyonedaObj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56713,
+      "path": "data/train/pe7/mathlib-000751-0000-e845d4900fd6ffe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e845d4900fd6ffe2f7b7f71f7dcd13eef3031d136d0de48e0213d4e29a87b60a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000752.json b/manifests/batches/mathlib/000752.json
index b3f8359b8281211cbe7207e0168dbd4c30133ced..c63ace99fccb90a904df9986c0591e98a204651c 100644
--- a/manifests/batches/mathlib/000752.json
+++ b/manifests/batches/mathlib/000752.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000752",
   "batch_fingerprint": "47c814bdc9cb476ecea9f575b55d3cd540f25c76ea9d592a1f097312d7f4ce05",
   "evidence": {
@@ -391,22 +390,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000752-0000-0b86ed8f40ae8be6.parquet",
-      "sha256": "0b86ed8f40ae8be6aa491e7e7ba724a53fc6517c7d141b9dae9f1170f909ea2d",
-      "bytes": 89384,
-      "rows": 16,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/dev/mathlib-000752-0000-f7d672d474ddcd39.parquet",
-      "sha256": "f7d672d474ddcd39c879375763b411d00731050c4c4f2b2c6299c4bb821d469b",
-      "bytes": 29592,
-      "rows": 1,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.map_injective",
     "mathlib:CategoryTheory.Injective.Exact.comp_desc",
@@ -428,5 +412,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/InjectiveResolution.lean\",null,null,\"CategoryTheory.InjectiveResolution.complex_d_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/InjectiveResolution.lean\",null,null,\"CategoryTheory.InjectiveResolution.\u03b9_f_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/InjectiveResolution.lean\",null,null,\"CategoryTheory.InjectiveResolution.\u03b9_f_zero_comp_complex_d\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89384,
+      "path": "data/train/p3a/mathlib-000752-0000-0b86ed8f40ae8be6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0b86ed8f40ae8be6aa491e7e7ba724a53fc6517c7d141b9dae9f1170f909ea2d"
+    },
+    {
+      "bytes": 29592,
+      "path": "data/dev/p3a/mathlib-000752-0000-f7d672d474ddcd39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f7d672d474ddcd39c879375763b411d00731050c4c4f2b2c6299c4bb821d469b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000753.json b/manifests/batches/mathlib/000753.json
index 6da35d737b988897e399eea035dc1c223894ae16..f8c7918dbf32fe78815c1e8bb122ca2983718dbb 100644
--- a/manifests/batches/mathlib/000753.json
+++ b/manifests/batches/mathlib/000753.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000753",
   "batch_fingerprint": "a1e7a22d7dc199f9929fcb51741a9dccb112a56dabaa93ae3ce2420ea1bc68f1",
   "evidence": {
@@ -1051,15 +1050,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000753-0000-13a68f638cd2c5ba.parquet",
-      "sha256": "13a68f638cd2c5baf787c640589e45a9b6ebd2b8019597fbd930e1535f74b2c1",
-      "bytes": 54528,
-      "rows": 6,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp",
     "mathlib:CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add"
@@ -1067,5 +1058,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/OfBiproducts.lean\",null,null,\"CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/OfBiproducts.lean\",null,null,\"CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54528,
+      "path": "data/train/p51/mathlib-000753-0000-13a68f638cd2c5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "13a68f638cd2c5baf787c640589e45a9b6ebd2b8019597fbd930e1535f74b2c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000754.json b/manifests/batches/mathlib/000754.json
index 98de3873c680923fb2c41c0dc1e7f99d2153a8c7..ac10c27d315d7219cc13868ce1869f8e7ebd5e0c 100644
--- a/manifests/batches/mathlib/000754.json
+++ b/manifests/batches/mathlib/000754.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000754",
   "batch_fingerprint": "f62beec78fd3849ea69d5a7e63c7636239f41f33e62629154b85c784e9ac6b24",
   "evidence": {
@@ -467,22 +466,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000754-0000-0ae3687ef39421ec.parquet",
-      "sha256": "0ae3687ef39421ec39cf974f9b982b9f6666b8bbbe851befa65784eedccfa128",
-      "bytes": 58242,
-      "rows": 5,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/dev/mathlib-000754-0000-5129c78c399cdbfc.parquet",
-      "sha256": "5129c78c399cdbfcc09afd8a1e86d6cf428cd700fbb74a4de9e3ea03fbb8720b",
-      "bytes": 53094,
-      "rows": 4,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Adjunction.map_projective",
     "mathlib:CategoryTheory.Exact.lift_comp",
@@ -492,5 +476,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Projective.lean\",null,null,\"CategoryTheory.Adjunction.map_projective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Projective.lean\",null,null,\"CategoryTheory.Exact.lift_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Projective.lean\",null,null,\"CategoryTheory.Projective.of_iso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58242,
+      "path": "data/train/p07/mathlib-000754-0000-0ae3687ef39421ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0ae3687ef39421ec39cf974f9b982b9f6666b8bbbe851befa65784eedccfa128"
+    },
+    {
+      "bytes": 53094,
+      "path": "data/dev/p07/mathlib-000754-0000-5129c78c399cdbfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5129c78c399cdbfcc09afd8a1e86d6cf428cd700fbb74a4de9e3ea03fbb8720b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000755.json b/manifests/batches/mathlib/000755.json
index 346881c8732326cfe234af91a2b7e9e7263ed095..b3263ac082537ee076de614d8e3460d35bae3a7c 100644
--- a/manifests/batches/mathlib/000755.json
+++ b/manifests/batches/mathlib/000755.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000755",
   "batch_fingerprint": "657c93eba7edc507256c0052d3035f3c2ce25281e01273404a111154b152f69d",
   "evidence": {
@@ -652,22 +651,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000755-0000-9b0c707d41eea4f7.parquet",
-      "sha256": "9b0c707d41eea4f7d8dd3679a94bf28601944078f6d0d862666a383743db6895",
-      "bytes": 57686,
-      "rows": 7,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000755-0000-7ad36e0baf721909.parquet",
-      "sha256": "7ad36e0baf721909638f3d5e63064908cd4d9621bcd24a2945bf9613606948a0",
-      "bytes": 51110,
-      "rows": 3,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ProjectiveResolution.complex_d_comp_\u03c0_f_zero",
     "mathlib:CategoryTheory.ProjectiveResolution.complex_d_succ_comp",
@@ -681,5 +665,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/ProjectiveResolution.lean\",null,null,\"CategoryTheory.ProjectiveResolution.complex_exactAt_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Schur.lean\",null,null,\"CategoryTheory.finrank_hom_simple_simple_eq_zero_of_not_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Preadditive/Schur.lean\",null,null,\"CategoryTheory.isIso_iff_nonzero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57686,
+      "path": "data/train/pbd/mathlib-000755-0000-9b0c707d41eea4f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9b0c707d41eea4f7d8dd3679a94bf28601944078f6d0d862666a383743db6895"
+    },
+    {
+      "bytes": 51110,
+      "path": "data/internal_test/pbd/mathlib-000755-0000-7ad36e0baf721909.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7ad36e0baf721909638f3d5e63064908cd4d9621bcd24a2945bf9613606948a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000756.json b/manifests/batches/mathlib/000756.json
index 307b9ca095feb51cc3a4690a5e92762b6d51a698..f6ac32f2d3d14af3b60cbbe649e7f19f96fdde5d 100644
--- a/manifests/batches/mathlib/000756.json
+++ b/manifests/batches/mathlib/000756.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000756",
   "batch_fingerprint": "b00b3eb3b7cf676d6230b5e0e2ac2e478bba3d82ffe50aff39babbda6338da2d",
   "evidence": {
@@ -207,7 +206,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000757.json b/manifests/batches/mathlib/000757.json
index 881744940d3e54605afa85749aea5d2379c3857d..28a2748984307fbc281f16e3e0ce801ae80b02a0 100644
--- a/manifests/batches/mathlib/000757.json
+++ b/manifests/batches/mathlib/000757.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000757",
   "batch_fingerprint": "62b52f9ae359b3540ac7a78f0007be1bcd3c029ce4fd550179210f4454114fa4",
   "evidence": {
@@ -409,7 +408,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000758.json b/manifests/batches/mathlib/000758.json
index 896bd470973b0b353b3aaff635e58820e5ec09f6..3f3956e0967be9fe8ae6a197724860dd5213049f 100644
--- a/manifests/batches/mathlib/000758.json
+++ b/manifests/batches/mathlib/000758.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000758",
   "batch_fingerprint": "e792add1bae8878cbaa4e764fc70d600ca2e53a613cde0b3e5d5fb7355f60807",
   "evidence": {
@@ -517,22 +516,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000758-0000-6ac24c4b95ec877a.parquet",
-      "sha256": "6ac24c4b95ec877af633c707db2f9079fe66c7ff6ddfc0a5bbf780e6c6433dbc",
-      "bytes": 76422,
-      "rows": 13,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000758-0000-5690f7f41f6665fe.parquet",
-      "sha256": "5690f7f41f6665fe741a2105333995b01fe955a7b9f4f3737dd0af5637412ded",
-      "bytes": 71674,
-      "rows": 9,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Bifunctor.diagonal",
     "mathlib:CategoryTheory.Bifunctor.diagonal'",
@@ -566,5 +550,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Quotient.lean\",null,null,\"CategoryTheory.Quotient.natTransLift_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Quotient.lean\",null,null,\"CategoryTheory.Quotient.natTrans_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Quotient.lean\",null,null,\"CategoryTheory.Quotient.sound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76422,
+      "path": "data/train/pcf/mathlib-000758-0000-6ac24c4b95ec877a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6ac24c4b95ec877af633c707db2f9079fe66c7ff6ddfc0a5bbf780e6c6433dbc"
+    },
+    {
+      "bytes": 71674,
+      "path": "data/internal_test/pcf/mathlib-000758-0000-5690f7f41f6665fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5690f7f41f6665fe741a2105333995b01fe955a7b9f4f3737dd0af5637412ded"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000759.json b/manifests/batches/mathlib/000759.json
index 08d224085e46dc036293d16f3d7256d63975adb0..051899514e955fc64a64e25d891e139b78091c9a 100644
--- a/manifests/batches/mathlib/000759.json
+++ b/manifests/batches/mathlib/000759.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000759",
   "batch_fingerprint": "a455be2f4fb92d942530157b8ac44af741bcf0dcdf596a208e9dcc52a4ac8758",
   "evidence": {
@@ -62,7 +61,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000760.json b/manifests/batches/mathlib/000760.json
index e8e0309a7f2d2db303e365643f13035e72b14b57..d6d8dbed190c76b9b5fb716eff2e17ce80d9cc15 100644
--- a/manifests/batches/mathlib/000760.json
+++ b/manifests/batches/mathlib/000760.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000760",
   "batch_fingerprint": "6767311d59e66ccf7453e9ce96edd6d9618ac7c0ae69a6723bde385ec02927fc",
   "evidence": {
@@ -1122,29 +1121,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000760-0000-6245a1d8a4b50b2f.parquet",
-      "sha256": "6245a1d8a4b50b2f04526da719e83c1af35ee1944037ecac4bc473f4588b6062",
-      "bytes": 473229,
-      "rows": 67,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/dev/mathlib-000760-0000-9f85b92d8c51e6f9.parquet",
-      "sha256": "9f85b92d8c51e6f920562bc17d405f4e116d67fdff57d050b89091bdc1c107b0",
-      "bytes": 76978,
-      "rows": 11,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000760-0000-6af4909ae9361f13.parquet",
-      "sha256": "6af4909ae9361f13a3b1b4fd2d94aa6968a1698ad1acc72c01e8d16012b160fc",
-      "bytes": 65758,
-      "rows": 7,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.CommShift.isoAdd_hom_app",
     "mathlib:CategoryTheory.Functor.CommShift.isoAdd_inv_app",
@@ -1232,5 +1209,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/CommShift.lean\",null,null,\"CategoryTheory.NatTrans.CommShift.comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/CommShift.lean\",null,null,\"CategoryTheory.NatTrans.CommShift.shift_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/CommShift.lean\",null,null,\"CategoryTheory.NatTrans.CommShift.verticalComposition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473229,
+      "path": "data/train/pf8/mathlib-000760-0000-6245a1d8a4b50b2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "6245a1d8a4b50b2f04526da719e83c1af35ee1944037ecac4bc473f4588b6062"
+    },
+    {
+      "bytes": 76978,
+      "path": "data/dev/pf8/mathlib-000760-0000-9f85b92d8c51e6f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9f85b92d8c51e6f920562bc17d405f4e116d67fdff57d050b89091bdc1c107b0"
+    },
+    {
+      "bytes": 65758,
+      "path": "data/internal_test/pf8/mathlib-000760-0000-6af4909ae9361f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6af4909ae9361f13a3b1b4fd2d94aa6968a1698ad1acc72c01e8d16012b160fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000761.json b/manifests/batches/mathlib/000761.json
index bf7364f2ca47f2e7a9a8ccf93789b4c00517b786..e2422c0105ed12466eceb41b8342c8ad21cb6609 100644
--- a/manifests/batches/mathlib/000761.json
+++ b/manifests/batches/mathlib/000761.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000761",
   "batch_fingerprint": "702e7dbf19370c9e61f5783223ebd665c2a6b00af89ed92308470e420c933275",
   "evidence": {
@@ -262,15 +261,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000761-0000-dfc9584510e369ed.parquet",
-      "sha256": "dfc9584510e369eda62b7d6e4d2a97ad95b053497817d8fdb03a6a0012abb440",
-      "bytes": 171388,
-      "rows": 17,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.ShiftSequence.induced.shiftIso_hom_app_obj",
     "mathlib:CategoryTheory.Functor.ShiftSequence.induced_isoShiftZero_hom_app_obj",
@@ -290,5 +281,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/InducedShiftSequence.lean\",null,null,\"CategoryTheory.Functor.ShiftSequence.induced.shiftIso_hom_app_obj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/InducedShiftSequence.lean\",null,null,\"CategoryTheory.Functor.ShiftSequence.induced_isoShiftZero_hom_app_obj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/InducedShiftSequence.lean\",null,null,\"CategoryTheory.Functor.ShiftSequence.induced_shiftMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171388,
+      "path": "data/train/p74/mathlib-000761-0000-dfc9584510e369ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "dfc9584510e369eda62b7d6e4d2a97ad95b053497817d8fdb03a6a0012abb440"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000762.json b/manifests/batches/mathlib/000762.json
index 510357e5b0d61233914ebaaae3a2791fcfdfbf79..13572b992e511c11b3e90efa21dd2ba6b5c55ca2 100644
--- a/manifests/batches/mathlib/000762.json
+++ b/manifests/batches/mathlib/000762.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000762",
   "batch_fingerprint": "10041266fc56a3b5bfa1c484a22f6b45559a4db0c6689421f88aa653fd9861a5",
   "evidence": {
@@ -62,22 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000762-0000-530f79286768e1a0.parquet",
-      "sha256": "530f79286768e1a026d07a16f0010ecbb810528e4d76fe6fe031e3129bfb7ac8",
-      "bytes": 70380,
-      "rows": 9,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000762-0000-7cad729d324c5b2b.parquet",
-      "sha256": "7cad729d324c5b2b7f643e75e0e8b4d4bd1617eaa8403aa698aab2af83268a6f",
-      "bytes": 57041,
-      "rows": 2,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.MorphismProperty.IsCompatibleWithShift.iff",
     "mathlib:CategoryTheory.MorphismProperty.IsCompatibleWithShift.shiftFunctor_comp_inverts",
@@ -93,5 +77,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/Opposite.lean\",null,null,\"CategoryTheory.oppositeShiftFunctorAdd'_inv_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/Opposite.lean\",null,null,\"CategoryTheory.oppositeShiftFunctorAdd_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/Opposite.lean\",null,null,\"CategoryTheory.oppositeShiftFunctorZero_hom_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70380,
+      "path": "data/train/p45/mathlib-000762-0000-530f79286768e1a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "530f79286768e1a026d07a16f0010ecbb810528e4d76fe6fe031e3129bfb7ac8"
+    },
+    {
+      "bytes": 57041,
+      "path": "data/internal_test/p45/mathlib-000762-0000-7cad729d324c5b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cad729d324c5b2b7f643e75e0e8b4d4bd1617eaa8403aa698aab2af83268a6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000763.json b/manifests/batches/mathlib/000763.json
index 74ddc37a852aa1790a77e8c11c9ada7ebfd0685e..284242662411cbf995f29d1a37a7a5900fba4a94 100644
--- a/manifests/batches/mathlib/000763.json
+++ b/manifests/batches/mathlib/000763.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000763",
   "batch_fingerprint": "0383978ceea7d3a72ffec47458de7d4021387fa8e90ec6750f336e010e6f919a",
   "evidence": {
@@ -165,15 +164,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000763-0000-29d1391429c60c5e.parquet",
-      "sha256": "29d1391429c60c5e0c337c19fb9bd8ef25491af649d6587e413e67c21e1199d0",
-      "bytes": 51041,
-      "rows": 4,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.predicateShift_predicateShift",
     "mathlib:CategoryTheory.predicateShift_zero"
@@ -181,5 +172,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/Predicate.lean\",null,null,\"CategoryTheory.predicateShift_predicateShift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/Predicate.lean\",null,null,\"CategoryTheory.predicateShift_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51041,
+      "path": "data/train/p55/mathlib-000763-0000-29d1391429c60c5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "29d1391429c60c5e0c337c19fb9bd8ef25491af649d6587e413e67c21e1199d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000764.json b/manifests/batches/mathlib/000764.json
index dbbeb28b1b22eb453e3a79f807d7bd25030135e4..7628e7c1a80a4cf3ab188f35d9b0706fb9ac86e2 100644
--- a/manifests/batches/mathlib/000764.json
+++ b/manifests/batches/mathlib/000764.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000764",
   "batch_fingerprint": "15225f18ad4348472e260c44fa954e1bbf22cfff81a6b0c49e23b3fcc3c4294f",
   "evidence": {
@@ -492,15 +491,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000764-0000-3aefb101d89d622a.parquet",
-      "sha256": "3aefb101d89d622a945f8956154bff75cedae2e5399cf263aa55538b1f7e5e35",
-      "bytes": 133035,
-      "rows": 14,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.shiftIso_add",
     "mathlib:CategoryTheory.Functor.shiftIso_zero_hom_app",
@@ -520,5 +511,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/ShiftSequence.lean\",null,null,\"CategoryTheory.Functor.shiftMap_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/ShiftSequence.lean\",null,null,\"CategoryTheory.Functor.shiftMap_comp'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/ShiftSequence.lean\",null,null,\"CategoryTheory.Functor.shiftMap_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133035,
+      "path": "data/train/p0d/mathlib-000764-0000-3aefb101d89d622a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3aefb101d89d622a945f8956154bff75cedae2e5399cf263aa55538b1f7e5e35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000765.json b/manifests/batches/mathlib/000765.json
index 4ce4e2502c94797293b9bcf3aa704e743990f2f9..7adaf7cca77c2cb8d53d9cd8586ab3a1ae7279ac 100644
--- a/manifests/batches/mathlib/000765.json
+++ b/manifests/batches/mathlib/000765.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000765",
   "batch_fingerprint": "e63b56c1b00ffd7bce1a290050ee548230c8afb20bde60ad2b39a7bd35e1d01d",
   "evidence": {
@@ -562,15 +561,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000765-0000-6fcd658c33c01abf.parquet",
-      "sha256": "6fcd658c33c01abfd9647032e6027e81d9b6a45ce253aaf16692085a063a5f2a",
-      "bytes": 76980,
-      "rows": 12,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.ShiftedHom.add_comp",
     "mathlib:CategoryTheory.ShiftedHom.comp_add",
@@ -594,5 +585,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/SingleFunctors.lean\",null,null,\"CategoryTheory.SingleFunctors.inv_hom_id_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/SingleFunctors.lean\",null,null,\"CategoryTheory.SingleFunctors.shiftIso_zero_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Shift/SingleFunctors.lean\",null,null,\"CategoryTheory.SingleFunctors.shiftIso_zero_inv_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76980,
+      "path": "data/train/pe9/mathlib-000765-0000-6fcd658c33c01abf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6fcd658c33c01abfd9647032e6027e81d9b6a45ce253aaf16692085a063a5f2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000766.json b/manifests/batches/mathlib/000766.json
index 5929e2cdd33c3c0f9f5e33c9c3cae98b88d82d1e..73d64712ade969e0ba273f9239954e5add1b8985 100644
--- a/manifests/batches/mathlib/000766.json
+++ b/manifests/batches/mathlib/000766.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000766",
   "batch_fingerprint": "43a0058e6b58e28666dd296ef0cf68884ed13752275dfe8b94b16654c7bcaaa8",
   "evidence": {
@@ -1018,29 +1017,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000766-0000-9d3906f231a51ac2.parquet",
-      "sha256": "9d3906f231a51ac24661ad97407ecdfbc2cf96502bd0882dcda0f124f787a67e",
-      "bytes": 56767,
-      "rows": 10,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/dev/mathlib-000766-0000-0930a8397223c210.parquet",
-      "sha256": "0930a8397223c210c279e8dddcf71da102a5c3eef33bd884b381641766a6835e",
-      "bytes": 36676,
-      "rows": 1,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000766-0000-5a226b39295672ea.parquet",
-      "sha256": "5a226b39295672ea7a265b4865cf31e078ac47786888a2ab130857fe72f34eb9",
-      "bytes": 26150,
-      "rows": 1,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Simple.not_isZero",
     "mathlib:CategoryTheory.epi_of_nonzero_to_simple",
@@ -1054,5 +1031,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Simple.lean\",null,null,\"CategoryTheory.id_nonzero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Simple.lean\",null,null,\"CategoryTheory.indecomposable_of_simple\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Simple.lean\",null,null,\"CategoryTheory.zero_not_simple\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56767,
+      "path": "data/train/p73/mathlib-000766-0000-9d3906f231a51ac2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9d3906f231a51ac24661ad97407ecdfbc2cf96502bd0882dcda0f124f787a67e"
+    },
+    {
+      "bytes": 36676,
+      "path": "data/dev/p73/mathlib-000766-0000-0930a8397223c210.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0930a8397223c210c279e8dddcf71da102a5c3eef33bd884b381641766a6835e"
+    },
+    {
+      "bytes": 26150,
+      "path": "data/internal_test/p73/mathlib-000766-0000-5a226b39295672ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5a226b39295672ea7a265b4865cf31e078ac47786888a2ab130857fe72f34eb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000767.json b/manifests/batches/mathlib/000767.json
index f6a5dfa6d2621a93e6232dc78248b032cecb8cd2..c926f5089999cda5c1b611aad3fdf82f09c5b659 100644
--- a/manifests/batches/mathlib/000767.json
+++ b/manifests/batches/mathlib/000767.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000767",
   "batch_fingerprint": "b56bd0429f7ad38c81b901f44512a06fc955bb94a76940dd7d5d00cea2daa662",
   "evidence": {
@@ -194,15 +193,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000767-0000-f1122234b06f908c.parquet",
-      "sha256": "f1122234b06f908cf8d3b4394a973f653c44f765fe229a2b65d268abadde7386",
-      "bytes": 435178,
-      "rows": 21,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Sheaf.adjunctionToTypes_counit_app_val",
     "mathlib:CategoryTheory.Sheaf.adjunctionToTypes_unit_app_val",
@@ -214,5 +205,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Adjunction.lean\",null,null,\"CategoryTheory.Sheaf.adjunctionToTypes_counit_app_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Adjunction.lean\",null,null,\"CategoryTheory.Sheaf.adjunctionToTypes_unit_app_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Adjunction.lean\",null,null,\"CategoryTheory.Sheaf.preservesSheafification_of_adjunction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435178,
+      "path": "data/train/p9f/mathlib-000767-0000-f1122234b06f908c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f1122234b06f908cf8d3b4394a973f653c44f765fe229a2b65d268abadde7386"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000768.json b/manifests/batches/mathlib/000768.json
index 1abcff65079ee18494a090d426ef2730fee46051..fc5f61866a06fb8ea360ebdc504f774b0a9d9f89 100644
--- a/manifests/batches/mathlib/000768.json
+++ b/manifests/batches/mathlib/000768.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000768",
   "batch_fingerprint": "8e9eb996ba994ff5685a078ac0d647ee52b11e0f013356e7a4567bbe671066c4",
   "evidence": {
@@ -1726,15 +1725,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000768-0000-21d33820727ce2fe.parquet",
-      "sha256": "21d33820727ce2fed407c94ed741a5ebb468e7c7b7559abfb478ddb119c995cc",
-      "bytes": 67263,
-      "rows": 10,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.isClosed_pullback",
     "mathlib:CategoryTheory.Sheaf.Subcanonical.of_yoneda_isSheaf",
@@ -1748,5 +1739,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Canonical.lean\",null,null,\"CategoryTheory.Sheaf.sheaf_for_finestTopology\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Closed.lean\",null,null,\"CategoryTheory.GrothendieckTopology.isClosed_pullback\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Closed.lean\",null,null,\"CategoryTheory.topologyOfClosureOperator_close\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67263,
+      "path": "data/train/pe6/mathlib-000768-0000-21d33820727ce2fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "21d33820727ce2fed407c94ed741a5ebb468e7c7b7559abfb478ddb119c995cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000769.json b/manifests/batches/mathlib/000769.json
index 284cc5c26dcf9ee48e9255d53bb83c13ed69db34..6f1979ca2b6c914a8bbbf2813384fe41ccdc41ce 100644
--- a/manifests/batches/mathlib/000769.json
+++ b/manifests/batches/mathlib/000769.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000769",
   "batch_fingerprint": "236285428b702da27161fd5f4f6c9695aad14fa478caef226af6b3a66c856f9c",
   "evidence": {
@@ -519,7 +518,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000770.json b/manifests/batches/mathlib/000770.json
index 50b7ee1387a9fdec81efa252bcd43e1bc60770aa..9aa96a7fc30c4220e56a85700b4ab1b2376e991b 100644
--- a/manifests/batches/mathlib/000770.json
+++ b/manifests/batches/mathlib/000770.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000770",
   "batch_fingerprint": "e9d08dd1ada257bbc3e6be23e816615c42ce745681d9eeeb521513b59e3bea92",
   "evidence": {
@@ -504,7 +503,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000771.json b/manifests/batches/mathlib/000771.json
index 1e74c191694487316c4fe700d9ee297ef5f9abf3..39c825086109034f1274aad06734450d96926c29 100644
--- a/manifests/batches/mathlib/000771.json
+++ b/manifests/batches/mathlib/000771.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000771",
   "batch_fingerprint": "ab459b7fd0ae53b08c5bc3bd246c8d6449aa78a3b5a733f424d4408e40e41d8e",
   "evidence": {
@@ -717,28 +716,29 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CategoryTheory.extensiveTopology.isSheaf_yoneda_obj",
+    "mathlib:CategoryTheory.isSheafFor_extensive_of_preservesFiniteProducts"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/ExtensiveSheaves.lean\",null,null,\"CategoryTheory.extensiveTopology.isSheaf_yoneda_obj\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/ExtensiveSheaves.lean\",null,null,\"CategoryTheory.isSheafFor_extensive_of_preservesFiniteProducts\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000771-0000-8994521a7863bb3c.parquet",
-      "sha256": "8994521a7863bb3cd4e2607950be71694c3740a3a4bf4621f00780e3408495f3",
       "bytes": 52347,
+      "path": "data/train/peb/mathlib-000771-0000-8994521a7863bb3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
+      "sha256": "8994521a7863bb3cd4e2607950be71694c3740a3a4bf4621f00780e3408495f3"
     },
     {
-      "path": "data/dev/mathlib-000771-0000-01b5d11738b67f3f.parquet",
-      "sha256": "01b5d11738b67f3f75df791b496b18510b20507633f237d33834b6916a88d4a8",
       "bytes": 53799,
+      "path": "data/dev/peb/mathlib-000771-0000-01b5d11738b67f3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
+      "sha256": "01b5d11738b67f3f75df791b496b18510b20507633f237d33834b6916a88d4a8"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CategoryTheory.extensiveTopology.isSheaf_yoneda_obj",
-    "mathlib:CategoryTheory.isSheafFor_extensive_of_preservesFiniteProducts"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/ExtensiveSheaves.lean\",null,null,\"CategoryTheory.extensiveTopology.isSheaf_yoneda_obj\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/ExtensiveSheaves.lean\",null,null,\"CategoryTheory.isSheafFor_extensive_of_preservesFiniteProducts\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000772.json b/manifests/batches/mathlib/000772.json
index ba390815cadcedf4a73860b2b78c29a53dc55f90..adfd6bfa75b13c79f158626f9814b2afc3ad842a 100644
--- a/manifests/batches/mathlib/000772.json
+++ b/manifests/batches/mathlib/000772.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000772",
   "batch_fingerprint": "b7524d96d005ce9721afc86c19de1f8a1e6f84311ac0ff4f63328928be935b35",
   "evidence": {
@@ -698,19 +697,20 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000772-0000-794df4e3dd8c5957.parquet",
-      "sha256": "794df4e3dd8c595798ecd88971f2b8b835545d2a5d485aaf210fbd6bcd30af40",
-      "bytes": 329229,
-      "rows": 20,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.extensiveTopology.surjective_of_isLocallySurjective_sheafOfTypes"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/LocallySurjective.lean\",null,null,\"CategoryTheory.extensiveTopology.surjective_of_isLocallySurjective_sheafOfTypes\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329229,
+      "path": "data/train/p93/mathlib-000772-0000-794df4e3dd8c5957.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "794df4e3dd8c595798ecd88971f2b8b835545d2a5d485aaf210fbd6bcd30af40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000773.json b/manifests/batches/mathlib/000773.json
index 797d29e02de8ecc578a186db507a3846d90736bb..9272c6b57b75a7c206027cb64852163dcfabafcb 100644
--- a/manifests/batches/mathlib/000773.json
+++ b/manifests/batches/mathlib/000773.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000773",
   "batch_fingerprint": "b33034133e587f28baecbfc02984371cc478d266c54b9eec591c7dec33ba642b",
   "evidence": {
@@ -1193,22 +1192,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000773-0000-ee99d42d29097aa9.parquet",
-      "sha256": "ee99d42d29097aa9051bc902235195a3d35a6b62d4e5dd9517d70e24eebd81d3",
-      "bytes": 82884,
-      "rows": 4,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/mathlib-000773-0000-2da18a0143f66a8b.parquet",
-      "sha256": "2da18a0143f66a8b361b95fc082a1e5ae238ce1c95ef2751153f7232ea4c2207",
-      "bytes": 50200,
-      "rows": 1,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.regularTopology.equalizerCondition_w",
     "mathlib:CategoryTheory.regularTopology.equalizerCondition_w'",
@@ -1218,5 +1202,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/RegularSheaves.lean\",null,null,\"CategoryTheory.regularTopology.equalizerCondition_w\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/RegularSheaves.lean\",null,null,\"CategoryTheory.regularTopology.equalizerCondition_w'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/RegularSheaves.lean\",null,null,\"CategoryTheory.regularTopology.mapToEqualizer_eq_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82884,
+      "path": "data/train/pa9/mathlib-000773-0000-ee99d42d29097aa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ee99d42d29097aa9051bc902235195a3d35a6b62d4e5dd9517d70e24eebd81d3"
+    },
+    {
+      "bytes": 50200,
+      "path": "data/dev/pa9/mathlib-000773-0000-2da18a0143f66a8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2da18a0143f66a8b361b95fc082a1e5ae238ce1c95ef2751153f7232ea4c2207"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000774.json b/manifests/batches/mathlib/000774.json
index f0b1bb41384e7555413d754dbff0a4c1a3a987c8..8b9e7d702a1da97f3641d978ea20f797b8a2e50f 100644
--- a/manifests/batches/mathlib/000774.json
+++ b/manifests/batches/mathlib/000774.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000774",
   "batch_fingerprint": "edc5b1528fac62420fd5440de64b5930deb5fbfcbf7dbbadfca397c8592beb7a",
   "evidence": {
@@ -687,29 +686,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000774-0000-bd0dbe2f7bf5f659.parquet",
-      "sha256": "bd0dbe2f7bf5f659d4848e317b72dafb508aa41a2e7c0e288017ae1dd5a1ef4d",
-      "bytes": 81869,
-      "rows": 20,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/mathlib-000774-0000-af4df48024c20a5d.parquet",
-      "sha256": "af4df48024c20a5d33e11b6290e6a308b114e964e4a6b7b1f505dd7d534d80ee",
-      "bytes": 62261,
-      "rows": 2,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/mathlib-000774-0000-a22c716c06c9ce8d.parquet",
-      "sha256": "a22c716c06c9ce8d3533e439db438729b360b8c5ada115f23aa1b7eaf888570f",
-      "bytes": 70105,
-      "rows": 6,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Presheaf.isSheaf_coherent_iff_regular_and_extensive",
     "mathlib:CategoryTheory.Presheaf.isSheaf_coherent_of_hasPullbacks_comp",
@@ -735,5 +712,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/SheafComparison.lean\",null,null,\"CategoryTheory.coherentTopology.eq_induced\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/SheafComparison.lean\",null,null,\"CategoryTheory.regularTopology.coverPreserving\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coherent/SheafComparison.lean\",null,null,\"CategoryTheory.regularTopology.eq_induced\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81869,
+      "path": "data/train/p88/mathlib-000774-0000-bd0dbe2f7bf5f659.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "bd0dbe2f7bf5f659d4848e317b72dafb508aa41a2e7c0e288017ae1dd5a1ef4d"
+    },
+    {
+      "bytes": 62261,
+      "path": "data/dev/p88/mathlib-000774-0000-af4df48024c20a5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "af4df48024c20a5d33e11b6290e6a308b114e964e4a6b7b1f505dd7d534d80ee"
+    },
+    {
+      "bytes": 70105,
+      "path": "data/internal_test/p88/mathlib-000774-0000-a22c716c06c9ce8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a22c716c06c9ce8d3533e439db438729b360b8c5ada115f23aa1b7eaf888570f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000775.json b/manifests/batches/mathlib/000775.json
index 62e8e9d3e0b218daa675cab5b4bb61617f0a895c..5268296d4df52a8312826abc776fd05b8107082b 100644
--- a/manifests/batches/mathlib/000775.json
+++ b/manifests/batches/mathlib/000775.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000775",
   "batch_fingerprint": "146780117d09988735216eb162bddf764252f35a88c878bb2a9b06e6b0bde595",
   "evidence": {
@@ -188,29 +187,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000775-0000-a931a2b887e70723.parquet",
-      "sha256": "a931a2b887e70723de327d8408428055d168e68ce14631993b33ba5e15bb51ee",
-      "bytes": 300180,
-      "rows": 26,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/mathlib-000775-0000-d93f3fbbdd7ffc53.parquet",
-      "sha256": "d93f3fbbdd7ffc535d6a4b6b86e76573d0e26e3fc261e5910bbd9b116e600f0a",
-      "bytes": 268956,
-      "rows": 13,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/mathlib-000775-0000-6e14d35fca172e34.parquet",
-      "sha256": "6e14d35fca172e340d909c7991fa5ef09755aad7ae8614e9ba29d7379a0f7da9",
-      "bytes": 333829,
-      "rows": 11,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.diagramCompIso_hom_\u03b9",
     "mathlib:CategoryTheory.GrothendieckTopology.plusCompIso_inv_eq_plusLift",
@@ -240,5 +217,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/CompatibleSheafification.lean\",null,null,\"CategoryTheory.GrothendieckTopology.sheafifyCompIso_inv_eq_sheafifyLift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/CompatibleSheafification.lean\",null,null,\"CategoryTheory.GrothendieckTopology.toSheafify_comp_sheafifyCompIso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/CompatibleSheafification.lean\",null,null,\"CategoryTheory.GrothendieckTopology.whiskerRight_toSheafify_sheafifyCompIso_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300180,
+      "path": "data/train/p9f/mathlib-000775-0000-a931a2b887e70723.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a931a2b887e70723de327d8408428055d168e68ce14631993b33ba5e15bb51ee"
+    },
+    {
+      "bytes": 268956,
+      "path": "data/dev/p9f/mathlib-000775-0000-d93f3fbbdd7ffc53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d93f3fbbdd7ffc535d6a4b6b86e76573d0e26e3fc261e5910bbd9b116e600f0a"
+    },
+    {
+      "bytes": 333829,
+      "path": "data/internal_test/p9f/mathlib-000775-0000-6e14d35fca172e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6e14d35fca172e340d909c7991fa5ef09755aad7ae8614e9ba29d7379a0f7da9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000776.json b/manifests/batches/mathlib/000776.json
index 81d223e0b85d002cb837cd03a5ef611c00ff773a..dbef30fb7ffcb5b4d8da3cfd92fcf1e0218edf90 100644
--- a/manifests/batches/mathlib/000776.json
+++ b/manifests/batches/mathlib/000776.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000776",
   "batch_fingerprint": "bfdfe8ba19f53bff5b1d9f2770b898fb577bde1f745e152254ee1e8c410b6060",
   "evidence": {
@@ -2296,29 +2295,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000776-0000-db928d3d1587b9ef.parquet",
-      "sha256": "db928d3d1587b9ef922c05eee063e64781433b6b059686aaac5bb57a1c884407",
-      "bytes": 560686,
-      "rows": 65,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/mathlib-000776-0000-8980fde6a419a488.parquet",
-      "sha256": "8980fde6a419a488fbbec310fe096671b6f610ebacf3356c24db5bacb95abfdc",
-      "bytes": 374318,
-      "rows": 15,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/mathlib-000776-0000-db6d14df5c8a69bf.parquet",
-      "sha256": "db6d14df5c8a69bfc6b89f78984ece0ec37ce6ae0ef8243da36754c048211899",
-      "bytes": 502737,
-      "rows": 17,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.pushforwardContinuousSheafificationCompatibility_hom_app_val",
     "mathlib:CategoryTheory.Functor.toSheafify_pullbackSheafificationCompatibility",
@@ -2356,5 +2333,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/ConcreteSheafification.lean\",null,null,\"CategoryTheory.Meq.equiv_symm_eq_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/CoverLifting.lean\",null,null,\"CategoryTheory.Functor.pushforwardContinuousSheafificationCompatibility_hom_app_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/CoverLifting.lean\",null,null,\"CategoryTheory.Functor.toSheafify_pullbackSheafificationCompatibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 560686,
+      "path": "data/train/pd8/mathlib-000776-0000-db928d3d1587b9ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "db928d3d1587b9ef922c05eee063e64781433b6b059686aaac5bb57a1c884407"
+    },
+    {
+      "bytes": 374318,
+      "path": "data/dev/pd8/mathlib-000776-0000-8980fde6a419a488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8980fde6a419a488fbbec310fe096671b6f610ebacf3356c24db5bacb95abfdc"
+    },
+    {
+      "bytes": 502737,
+      "path": "data/internal_test/pd8/mathlib-000776-0000-db6d14df5c8a69bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "db6d14df5c8a69bfc6b89f78984ece0ec37ce6ae0ef8243da36754c048211899"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000777.json b/manifests/batches/mathlib/000777.json
index b87267893caab1a8b72392cb1ad74f610bb2a84e..fd7c62488d049885af9d7ce640d4390896854c54 100644
--- a/manifests/batches/mathlib/000777.json
+++ b/manifests/batches/mathlib/000777.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000777",
   "batch_fingerprint": "6cd482d210d344fe7d16fe521a0edc15e3369400cbd8a232dc437259e6b0a890",
   "evidence": {
@@ -1908,15 +1907,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000777-0000-f5287ffce790f1da.parquet",
-      "sha256": "f5287ffce790f1da0a5d874c2f267b3259c54052902ec0b5f661aa25d297e4b2",
-      "bytes": 88648,
-      "rows": 17,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.CoverPreserving.comp",
     "mathlib:CategoryTheory.Coverage.eq_top_pullback",
@@ -1936,5 +1927,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coverage.lean\",null,null,\"CategoryTheory.Presieve.factorsThruAlong_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coverage.lean\",null,null,\"CategoryTheory.Presieve.factorsThru_of_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Coverage.lean\",null,null,\"CategoryTheory.Presieve.le_of_factorsThru_sieve\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88648,
+      "path": "data/train/p28/mathlib-000777-0000-f5287ffce790f1da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f5287ffce790f1da0a5d874c2f267b3259c54052902ec0b5f661aa25d297e4b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000778.json b/manifests/batches/mathlib/000778.json
index 825187de2e5a69d4de146db5dfbc94cd5bcb6664..ae184ef7590bcdddbea6d97815d272c583dcf454 100644
--- a/manifests/batches/mathlib/000778.json
+++ b/manifests/batches/mathlib/000778.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000778",
   "batch_fingerprint": "b7bcbaceac9b1bcfa37ffe283356069ffa919055c5ac1d7b2aa2362ea9f2016a",
   "evidence": {
@@ -999,22 +998,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000778-0000-4f727904f8da4964.parquet",
-      "sha256": "4f727904f8da496489112f8edfce11e867c4781a9ce7fea7800da7a41b466dc4",
-      "bytes": 212622,
-      "rows": 35,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/mathlib-000778-0000-24709b80f1cbe9f9.parquet",
-      "sha256": "24709b80f1cbe9f97f426f9f4324c51731fc47721b4040253a7aaf908256c12a",
-      "bytes": 73356,
-      "rows": 6,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.IsCoverDense.Types.appHom_valid_glue",
     "mathlib:CategoryTheory.Functor.IsCoverDense.Types.pushforwardFamily_apply",
@@ -1042,5 +1026,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/DenseSubsite.lean\",null,null,\"CategoryTheory.Functor.isCoverDense_of_generate_singleton_functor_\u03c0_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/DenseSubsite.lean\",null,null,\"CategoryTheory.Functor.is_cover_of_isCoverDense\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/DenseSubsite.lean\",null,null,\"CategoryTheory.Presieve.in_coverByImage\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212622,
+      "path": "data/train/pdd/mathlib-000778-0000-4f727904f8da4964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "4f727904f8da496489112f8edfce11e867c4781a9ce7fea7800da7a41b466dc4"
+    },
+    {
+      "bytes": 73356,
+      "path": "data/internal_test/pdd/mathlib-000778-0000-24709b80f1cbe9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "24709b80f1cbe9f97f426f9f4324c51731fc47721b4040253a7aaf908256c12a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000779.json b/manifests/batches/mathlib/000779.json
index 0986010ea6b70d7666e0e4938fe5cd1730a26897..fc74d1c3aa7b5abea82318e5ed190b35d7c98148 100644
--- a/manifests/batches/mathlib/000779.json
+++ b/manifests/batches/mathlib/000779.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000779",
   "batch_fingerprint": "d4ef00d17ee865efcfa8350174e5926f6883a96c7964ed4dad36b34d61869bba",
   "evidence": {
@@ -508,7 +507,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000780.json b/manifests/batches/mathlib/000780.json
index 5018650d437effa27311eafd645eb6215ee102e1..ce14059031992ac9d2a56d1df60eb0bd5f43ccde 100644
--- a/manifests/batches/mathlib/000780.json
+++ b/manifests/batches/mathlib/000780.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000780",
   "batch_fingerprint": "1970e9b37b1b6a1eaba5997f663a0aea878a30e3cabc2bf1ea288123934e311f",
   "evidence": {
@@ -1412,29 +1411,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000780-0000-0abde9b964afce70.parquet",
-      "sha256": "0abde9b964afce70a21f6c3f5ee20af55084b0c25d8bce978bd90332e267fdc4",
-      "bytes": 92816,
-      "rows": 11,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/mathlib-000780-0000-ade81561d6703775.parquet",
-      "sha256": "ade81561d67037757e6862a2536c82d131c0c1abdab8c6423f47959dc6382d72",
-      "bytes": 55855,
-      "rows": 3,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/mathlib-000780-0000-3284acd946f78964.parquet",
-      "sha256": "3284acd946f789645d95fef0d89fd561bf282259c93a3e84e7c24e0d430ac59c",
-      "bytes": 170576,
-      "rows": 11,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Equalizer.FirstObj.ext",
     "mathlib:CategoryTheory.Equalizer.Presieve.Arrows.FirstObj.ext",
@@ -1456,5 +1433,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/EqualizerSheafCondition.lean\",null,null,\"CategoryTheory.Equalizer.Sieve.w\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Equivalence.lean\",null,null,\"CategoryTheory.GrothendieckTopology.WEqualsLocallyBijective.transport\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Equivalence.lean\",null,null,\"CategoryTheory.GrothendieckTopology.W_whiskerLeft_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92816,
+      "path": "data/train/pf9/mathlib-000780-0000-0abde9b964afce70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0abde9b964afce70a21f6c3f5ee20af55084b0c25d8bce978bd90332e267fdc4"
+    },
+    {
+      "bytes": 55855,
+      "path": "data/dev/pf9/mathlib-000780-0000-ade81561d6703775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ade81561d67037757e6862a2536c82d131c0c1abdab8c6423f47959dc6382d72"
+    },
+    {
+      "bytes": 170576,
+      "path": "data/internal_test/pf9/mathlib-000780-0000-3284acd946f78964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3284acd946f789645d95fef0d89fd561bf282259c93a3e84e7c24e0d430ac59c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000781.json b/manifests/batches/mathlib/000781.json
index 4ab810b63b9f881f995f6eb9e63c68f56ad5146f..7e7afa24c78d102219cbd684c7a65847a8821532 100644
--- a/manifests/batches/mathlib/000781.json
+++ b/manifests/batches/mathlib/000781.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000781",
   "batch_fingerprint": "a621f7a2330e1bb3e046ef3fd2e2b3c83a3e2c660621b49d48067ad6393bbb92",
   "evidence": {
@@ -867,15 +866,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000781-0000-b25e537fcde4a35e.parquet",
-      "sha256": "b25e537fcde4a35ec7cf4ec5282c8cfb027f765820b52aedae2f682fe405341f",
-      "bytes": 78854,
-      "rows": 25,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.arrow_intersect",
     "mathlib:CategoryTheory.GrothendieckTopology.arrow_max",
@@ -899,5 +890,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Grothendieck.lean\",null,null,\"CategoryTheory.GrothendieckTopology.intersection_covering\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Grothendieck.lean\",null,null,\"CategoryTheory.GrothendieckTopology.superset_covering\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Grothendieck.lean\",null,null,\"CategoryTheory.GrothendieckTopology.top_covers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78854,
+      "path": "data/train/pbf/mathlib-000781-0000-b25e537fcde4a35e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b25e537fcde4a35ec7cf4ec5282c8cfb027f765820b52aedae2f682fe405341f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000782.json b/manifests/batches/mathlib/000782.json
index fc6761fd954ba68ca00b5bb88bb8c700488d146a..52da726f23d505132fab76088a5698dc4431c093 100644
--- a/manifests/batches/mathlib/000782.json
+++ b/manifests/batches/mathlib/000782.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000782",
   "batch_fingerprint": "512395ec4fe7337d61c159df4068825e0a2ca2bd35cf834060492f2d31bfed32",
   "evidence": {
@@ -1965,29 +1964,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000782-0000-7f81aba47570a75a.parquet",
-      "sha256": "7f81aba47570a75a8877a3b25917f9b2e5184076b01abf1182e23b3c42158fdc",
-      "bytes": 212272,
-      "rows": 43,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/mathlib-000782-0000-6a9d43fe13608abd.parquet",
-      "sha256": "6a9d43fe13608abda09650f28a211fd906e1c4c20c8d66ff48d8affff07df08a",
-      "bytes": 52319,
-      "rows": 1,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/mathlib-000782-0000-cdd97eba52ea7eed.parquet",
-      "sha256": "cdd97eba52ea7eed9413654600769f3527afd765e9c8a52596be01384a7867dc",
-      "bytes": 65551,
-      "rows": 5,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.fac",
     "mathlib:CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.hom_ext",
@@ -2025,5 +2002,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/IsSheafOneHypercover.lean\",null,null,\"CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/IsSheafOneHypercover.lean\",null,null,\"CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/IsSheafOneHypercover.lean\",null,null,\"CategoryTheory.Presheaf.isSheaf_iff_of_isGeneratedByOneHypercovers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212272,
+      "path": "data/train/pdc/mathlib-000782-0000-7f81aba47570a75a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "7f81aba47570a75a8877a3b25917f9b2e5184076b01abf1182e23b3c42158fdc"
+    },
+    {
+      "bytes": 52319,
+      "path": "data/dev/pdc/mathlib-000782-0000-6a9d43fe13608abd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6a9d43fe13608abda09650f28a211fd906e1c4c20c8d66ff48d8affff07df08a"
+    },
+    {
+      "bytes": 65551,
+      "path": "data/internal_test/pdc/mathlib-000782-0000-cdd97eba52ea7eed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cdd97eba52ea7eed9413654600769f3527afd765e9c8a52596be01384a7867dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000783.json b/manifests/batches/mathlib/000783.json
index e5c8a3dab5987c347ba2ee10c9dfcf9615a9fa67..dc8a645d6aaea309e227686640837326f638be69 100644
--- a/manifests/batches/mathlib/000783.json
+++ b/manifests/batches/mathlib/000783.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000783",
   "batch_fingerprint": "b88dbeb6ed900dcae32eb25904a66a6376c5d14df37315cdca7a797b1c1c48ca",
   "evidence": {
@@ -252,19 +251,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000783-0000-a91d406e8bf951eb.parquet",
-      "sha256": "a91d406e8bf951eb689e4ca9b1d6cd5b304034dc32f79f3efa6edb24b53640d7",
-      "bytes": 53407,
-      "rows": 4,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.toSheafify_plusPlusIsoSheafify_hom"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LeftExact.lean\",null,null,\"CategoryTheory.toSheafify_plusPlusIsoSheafify_hom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53407,
+      "path": "data/train/p79/mathlib-000783-0000-a91d406e8bf951eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a91d406e8bf951eb689e4ca9b1d6cd5b304034dc32f79f3efa6edb24b53640d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000784.json b/manifests/batches/mathlib/000784.json
index 0ac7fd3a9b3db3c6a3f792809412b2bbc3bbf318..a400a654c66fb0e0d7c9ed32cf0ff62e9bbd0cbd 100644
--- a/manifests/batches/mathlib/000784.json
+++ b/manifests/batches/mathlib/000784.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000784",
   "batch_fingerprint": "ee6d7112d7cca911115a2e633168d74f8e01dd98e804500cba6ab4f67e678555",
   "evidence": {
@@ -571,22 +570,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000784-0000-6b7f4bd5a03fd7c2.parquet",
-      "sha256": "6b7f4bd5a03fd7c22d8609779b84aeae4580238b87399414a728142978bd9089",
-      "bytes": 59871,
-      "rows": 8,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000784-0000-9b94a2006cba6f15.parquet",
-      "sha256": "9b94a2006cba6f15e2c781306f691dc601882db8b00057041a786b8d0a267886",
-      "bytes": 45924,
-      "rows": 1,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.W_eq_inverseImage_isomorphisms_of_adjunction",
     "mathlib:CategoryTheory.GrothendieckTopology.W_iff_isIso_map_of_adjunction",
@@ -604,5 +588,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallyBijective.lean\",null,null,\"CategoryTheory.GrothendieckTopology.W_of_isLocallyBijective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallyBijective.lean\",null,null,\"CategoryTheory.Presheaf.isLocallyInjective_presheafToSheaf_map_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallyBijective.lean\",null,null,\"CategoryTheory.Presheaf.isLocallySurjective_presheafToSheaf_map_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59871,
+      "path": "data/train/p51/mathlib-000784-0000-6b7f4bd5a03fd7c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6b7f4bd5a03fd7c22d8609779b84aeae4580238b87399414a728142978bd9089"
+    },
+    {
+      "bytes": 45924,
+      "path": "data/internal_test/p51/mathlib-000784-0000-9b94a2006cba6f15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9b94a2006cba6f15e2c781306f691dc601882db8b00057041a786b8d0a267886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000785.json b/manifests/batches/mathlib/000785.json
index 44ec339f0f69385490970a86d8e3e34a7cee864b..ddf0b93360bfc2d7abc0e58f9332ce3b32c4b7b7 100644
--- a/manifests/batches/mathlib/000785.json
+++ b/manifests/batches/mathlib/000785.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000785",
   "batch_fingerprint": "66730da3055c001f898a3d753699d4a86b48bed16cbbb27ebf0c0d6fc87470e0",
   "evidence": {
@@ -1293,29 +1292,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000785-0000-fcab5929ca36d1b6.parquet",
-      "sha256": "fcab5929ca36d1b6a18fb004fbaca64a89bd9148976f74c39a7759d74580bf42",
-      "bytes": 104434,
-      "rows": 26,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/dev/mathlib-000785-0000-16690c82f13ed1f7.parquet",
-      "sha256": "16690c82f13ed1f740473a14fbbdae6c6f62bdaf121cd82741174819eb340c52",
-      "bytes": 53658,
-      "rows": 3,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000785-0000-3bccf18c7f85187b.parquet",
-      "sha256": "3bccf18c7f85187b2226ebbb8cd38cc556a5906efc7d83d641d793631a30cde0",
-      "bytes": 62089,
-      "rows": 7,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Presheaf.equalizerSieve_self_eq_top",
     "mathlib:CategoryTheory.Presheaf.isLocallyInjective_of_injective",
@@ -1353,5 +1330,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallySurjective.lean\",null,null,\"CategoryTheory.Presheaf.isLocallySurjective_of_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallySurjective.lean\",null,null,\"CategoryTheory.Sheaf.isLocallySurjective_iff_isIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/LocallySurjective.lean\",null,null,\"CategoryTheory.Sheaf.isLocallySurjective_sheafToPresheaf_map_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104434,
+      "path": "data/train/p7a/mathlib-000785-0000-fcab5929ca36d1b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "fcab5929ca36d1b6a18fb004fbaca64a89bd9148976f74c39a7759d74580bf42"
+    },
+    {
+      "bytes": 53658,
+      "path": "data/dev/p7a/mathlib-000785-0000-16690c82f13ed1f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "16690c82f13ed1f740473a14fbbdae6c6f62bdaf121cd82741174819eb340c52"
+    },
+    {
+      "bytes": 62089,
+      "path": "data/internal_test/p7a/mathlib-000785-0000-3bccf18c7f85187b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3bccf18c7f85187b2226ebbb8cd38cc556a5906efc7d83d641d793631a30cde0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000786.json b/manifests/batches/mathlib/000786.json
index e28a538752552cf0731b871dc2577cbd83069aab..d64799837b1f819bcbef25703ee897d75850cb7c 100644
--- a/manifests/batches/mathlib/000786.json
+++ b/manifests/batches/mathlib/000786.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000786",
   "batch_fingerprint": "9f87fd6c83dfe9cca7f2788286c628863fa3f831962e364da9fa707b1b0b16ed",
   "evidence": {
@@ -464,22 +463,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000786-0000-33f6d14316dbe5eb.parquet",
-      "sha256": "33f6d14316dbe5ebafc6d3ff90086ef5aa682b15cd2dbd07e39746ba7bff4b7f",
-      "bytes": 68036,
-      "rows": 8,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000786-0000-4acd27a7baf6f592.parquet",
-      "sha256": "4acd27a7baf6f5923cc22ea458e78eb36583da4c9287754826cee8bc94b1234b",
-      "bytes": 52552,
-      "rows": 4,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.OneHypercover.mem_sieve\u2081'",
     "mathlib:CategoryTheory.GrothendieckTopology.OneHypercover.multiforkLift_map",
@@ -499,5 +483,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/OneHypercover.lean\",null,null,\"CategoryTheory.GrothendieckTopology.OneHypercover.mem_sieve\u2081'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/OneHypercover.lean\",null,null,\"CategoryTheory.GrothendieckTopology.OneHypercover.multiforkLift_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/OneHypercover.lean\",null,null,\"CategoryTheory.PreOneHypercover.sieve\u2081'_eq_sieve\u2081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68036,
+      "path": "data/train/pf8/mathlib-000786-0000-33f6d14316dbe5eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "33f6d14316dbe5ebafc6d3ff90086ef5aa682b15cd2dbd07e39746ba7bff4b7f"
+    },
+    {
+      "bytes": 52552,
+      "path": "data/internal_test/pf8/mathlib-000786-0000-4acd27a7baf6f592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4acd27a7baf6f5923cc22ea458e78eb36583da4c9287754826cee8bc94b1234b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000787.json b/manifests/batches/mathlib/000787.json
index 5e6eee81aed3f5fd85d0d75ab6037a85a448debe..f468f7fe7ba7ac2a33094d7e6723f39302fecb90 100644
--- a/manifests/batches/mathlib/000787.json
+++ b/manifests/batches/mathlib/000787.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000787",
   "batch_fingerprint": "0e8cf01a5f2dd76bf6c17609dd3fd77bb4101443a7f0ea2973901d677ab23b33",
   "evidence": {
@@ -1187,22 +1186,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000787-0000-71d7b59862e8771e.parquet",
-      "sha256": "71d7b59862e8771e86abe8c8bf958f08f0638746fb2d6f87a1b38a04fe15c3c8",
-      "bytes": 221679,
-      "rows": 44,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000787-0000-a481cd33fd08a8f5.parquet",
-      "sha256": "a481cd33fd08a8f5abf3a3f5017501d74c1511872f05a6700d50c7f968e918fd",
-      "bytes": 49222,
-      "rows": 3,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.diagramNatTrans_comp",
     "mathlib:CategoryTheory.GrothendieckTopology.diagramNatTrans_id",
@@ -1236,5 +1220,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Plus.lean\",null,null,\"CategoryTheory.GrothendieckTopology.plusMap_plusLift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Plus.lean\",null,null,\"CategoryTheory.GrothendieckTopology.plusMap_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Plus.lean\",null,null,\"CategoryTheory.GrothendieckTopology.toPlus_plusLift\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221679,
+      "path": "data/train/pb4/mathlib-000787-0000-71d7b59862e8771e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "71d7b59862e8771e86abe8c8bf958f08f0638746fb2d6f87a1b38a04fe15c3c8"
+    },
+    {
+      "bytes": 49222,
+      "path": "data/internal_test/pb4/mathlib-000787-0000-a481cd33fd08a8f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a481cd33fd08a8f5abf3a3f5017501d74c1511872f05a6700d50c7f968e918fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000788.json b/manifests/batches/mathlib/000788.json
index 97be4a6f5d0d0c0d9cd196dc4a23d87e476fe3a6..8a23e439e459483f2e40be97b10051f3d230cfaa 100644
--- a/manifests/batches/mathlib/000788.json
+++ b/manifests/batches/mathlib/000788.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000788",
   "batch_fingerprint": "7c91600c6ed87cb367363296125ff6fba8a0345474cb31d11161db017eab3f9a",
   "evidence": {
@@ -707,19 +706,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000788-0000-bcb8b8df81260caa.parquet",
-      "sha256": "bcb8b8df81260caad219397e107a51e247c2ec7c4a91855d1c22de396ef3b80d",
-      "bytes": 56116,
-      "rows": 3,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Presieve.isSheafFor_iff_preservesProduct"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Preserves.lean\",null,null,\"CategoryTheory.Presieve.isSheafFor_iff_preservesProduct\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56116,
+      "path": "data/train/p87/mathlib-000788-0000-bcb8b8df81260caa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bcb8b8df81260caad219397e107a51e247c2ec7c4a91855d1c22de396ef3b80d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000789.json b/manifests/batches/mathlib/000789.json
index 2b5493e01ead3b98d98e557566ca1765c57edbfa..c0330dd88545f2f38dd8d66676095b033f0440ae 100644
--- a/manifests/batches/mathlib/000789.json
+++ b/manifests/batches/mathlib/000789.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000789",
   "batch_fingerprint": "3e1989a4662261656cef95e6ac60e723572aa7bd5647faf1dcd0db54c2fdc484",
   "evidence": {
@@ -390,15 +389,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000789-0000-431c25f95a26e470.parquet",
-      "sha256": "431c25f95a26e470cccb9aa677049997658958300cef5ebf89bbf283e954f0ed",
-      "bytes": 228760,
-      "rows": 16,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.W_isInvertedBy_whiskeringRight_presheafToSheaf",
     "mathlib:CategoryTheory.GrothendieckTopology.preservesSheafification_iff_of_adjunctions_of_hasSheafCompose",
@@ -412,5 +403,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/PreservesSheafification.lean\",null,null,\"CategoryTheory.sheafComposeIso_inv_fac\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/PreservesSheafification.lean\",null,null,\"CategoryTheory.sheafComposeNatTrans_app_uniq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/PreservesSheafification.lean\",null,null,\"CategoryTheory.sheafComposeNatTrans_fac\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228760,
+      "path": "data/train/p60/mathlib-000789-0000-431c25f95a26e470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "431c25f95a26e470cccb9aa677049997658958300cef5ebf89bbf283e954f0ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000790.json b/manifests/batches/mathlib/000790.json
index bee1a750adb0a8211982491c29c5f8063ec62af3..d8a3f82b6378ea771bf78b21373dbbc9376a764e 100644
--- a/manifests/batches/mathlib/000790.json
+++ b/manifests/batches/mathlib/000790.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000790",
   "batch_fingerprint": "2b9f03002677f7d23543c7570cf377ff87976f8c0403aa727563c8db4f92eb1e",
   "evidence": {
@@ -2183,7 +2182,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000791.json b/manifests/batches/mathlib/000791.json
index 819d5dee41b2e8543a9f7eb8661d17cf69c8ad8b..23a2f786dcc84b77ea81a2b56c1844bdd0849f31 100644
--- a/manifests/batches/mathlib/000791.json
+++ b/manifests/batches/mathlib/000791.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000791",
   "batch_fingerprint": "42977925daa0b022f0bf87b274053fbd26b2c25175a1e035549a9032a85410a3",
   "evidence": {
@@ -936,22 +935,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000791-0000-248cfb6b8ba30a27.parquet",
-      "sha256": "248cfb6b8ba30a273071b047d13565976b2182e81867e33272fb1ecf8f318afd",
-      "bytes": 96288,
-      "rows": 17,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000791-0000-dfb1415b46a243ed.parquet",
-      "sha256": "dfb1415b46a243ed10047872940d74f130215eaa0036b32bc63495966a6f8af7",
-      "bytes": 33253,
-      "rows": 1,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.HasSheafify.mk'",
     "mathlib:CategoryTheory.Presieve.isSheaf_bot",
@@ -971,5 +955,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Sheafification.lean\",null,null,\"CategoryTheory.sheafifyMap_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Sheafification.lean\",null,null,\"CategoryTheory.sheafifyMap_sheafifyLift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Sheafification.lean\",null,null,\"CategoryTheory.sheafify_hom_ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96288,
+      "path": "data/train/pc2/mathlib-000791-0000-248cfb6b8ba30a27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "248cfb6b8ba30a273071b047d13565976b2182e81867e33272fb1ecf8f318afd"
+    },
+    {
+      "bytes": 33253,
+      "path": "data/internal_test/pc2/mathlib-000791-0000-dfb1415b46a243ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dfb1415b46a243ed10047872940d74f130215eaa0036b32bc63495966a6f8af7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000792.json b/manifests/batches/mathlib/000792.json
index 27f293a70a3fa487b502868c164118c0a15c6efc..6ebd28bd7b734919b3516bb125044430aa2768ab 100644
--- a/manifests/batches/mathlib/000792.json
+++ b/manifests/batches/mathlib/000792.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000792",
   "batch_fingerprint": "a3c8995834854bd46c0328d1b1a83d6c3b5bbdb860846a77e4c339317018ef87",
   "evidence": {
@@ -1950,22 +1949,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000792-0000-2a5de89eed98be03.parquet",
-      "sha256": "2a5de89eed98be032338d281936c80c84116cdc9e15b0bfe9e7f464836f41ca6",
-      "bytes": 95074,
-      "rows": 31,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/mathlib-000792-0000-e44bda6c1f698cab.parquet",
-      "sha256": "e44bda6c1f698cab1aef8dd3e8c0e0217a75ba6f3183b5fb3b58b6cd0b689b55",
-      "bytes": 64123,
-      "rows": 7,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Presieve.image_mem_functorPushforward",
     "mathlib:CategoryTheory.Sieve.arrows_ext",
@@ -2011,5 +1995,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Sieves.lean\",null,null,\"CategoryTheory.Sieve.sSup_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Sieves.lean\",null,null,\"CategoryTheory.Sieve.sets_iff_generate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Spaces.lean\",null,null,\"Opens.pretopology_toGrothendieck\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95074,
+      "path": "data/train/p86/mathlib-000792-0000-2a5de89eed98be03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "2a5de89eed98be032338d281936c80c84116cdc9e15b0bfe9e7f464836f41ca6"
+    },
+    {
+      "bytes": 64123,
+      "path": "data/internal_test/p86/mathlib-000792-0000-e44bda6c1f698cab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e44bda6c1f698cab1aef8dd3e8c0e0217a75ba6f3183b5fb3b58b6cd0b689b55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000793.json b/manifests/batches/mathlib/000793.json
index 9578daad4b15f21034d05d87dfeb357301f0f7a6..f993cd9b0c37f68fedae92e29007a1f93b1b6be9 100644
--- a/manifests/batches/mathlib/000793.json
+++ b/manifests/batches/mathlib/000793.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000793",
   "batch_fingerprint": "0dce579fc7946a5089c19531f68e3b9c5a0b499d9020a916b503fc6e74786492",
   "evidence": {
@@ -901,22 +900,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000793-0000-7c8daaba38480d9a.parquet",
-      "sha256": "7c8daaba38480d9a42bd009c872fa05343af5c91e8bb86abd902a034b115f05a",
-      "bytes": 186084,
-      "rows": 47,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/dev/mathlib-000793-0000-ee52e930a3fac2d7.parquet",
-      "sha256": "ee52e930a3fac2d779dfa1924dbb6400c9c2d22cf4a19c76e763ed8a9221d3b4",
-      "bytes": 67599,
-      "rows": 6,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.GrothendieckTopology.Subpresheaf.family_of_elements_compatible",
     "mathlib:CategoryTheory.GrothendieckTopology.Subpresheaf.homOfLe_\u03b9",
@@ -946,5 +930,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Types.lean\",null,null,\"CategoryTheory.eval_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Types.lean\",null,null,\"CategoryTheory.eval_typesGlue\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Types.lean\",null,null,\"CategoryTheory.typesGrothendieckTopology_eq_canonical\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186084,
+      "path": "data/train/p5e/mathlib-000793-0000-7c8daaba38480d9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "7c8daaba38480d9a42bd009c872fa05343af5c91e8bb86abd902a034b115f05a"
+    },
+    {
+      "bytes": 67599,
+      "path": "data/dev/p5e/mathlib-000793-0000-ee52e930a3fac2d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ee52e930a3fac2d779dfa1924dbb6400c9c2d22cf4a19c76e763ed8a9221d3b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000794.json b/manifests/batches/mathlib/000794.json
index cbdc316f9c9a461367d76b4f8a1aa67571bd5d07..156cdf7db1c177118e4803f3e43428e21e706062 100644
--- a/manifests/batches/mathlib/000794.json
+++ b/manifests/batches/mathlib/000794.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000794",
   "batch_fingerprint": "8bed4f523f6f506bf7338a060f7c9862b6b018c093874934b89a36327ac7cb58",
   "evidence": {
@@ -282,15 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000794-0000-2e08a6fd3da86820.parquet",
-      "sha256": "2e08a6fd3da86820e7024903fe1c91744aaf5f393f2c18cd9f30bfc944ebad2d",
-      "bytes": 70629,
-      "rows": 5,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Sheaf.isSeparated",
     "mathlib:CategoryTheory.skeleton_skeletal"
@@ -298,5 +289,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Sites/Whiskering.lean\",null,null,\"CategoryTheory.Sheaf.isSeparated\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Skeletal.lean\",null,null,\"CategoryTheory.skeleton_skeletal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70629,
+      "path": "data/train/p5f/mathlib-000794-0000-2e08a6fd3da86820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2e08a6fd3da86820e7024903fe1c91744aaf5f393f2c18cd9f30bfc944ebad2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000795.json b/manifests/batches/mathlib/000795.json
index 0fe40cb3bf0e657f7e455f71c120183328cbc88a..adbb2abcf3e479675b186ba5d98ea39a4b3dc5bf 100644
--- a/manifests/batches/mathlib/000795.json
+++ b/manifests/batches/mathlib/000795.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000795",
   "batch_fingerprint": "dec4d2c509b968f71439d86b4d680bd738a0298f111bdc8dd55fcc40383e8950",
   "evidence": {
@@ -322,22 +321,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000795-0000-6cbb9b229c07792f.parquet",
-      "sha256": "6cbb9b229c07792ffc7ce36ad845ad9bafbc9007d30a2f6427cda6dbbe61a379",
-      "bytes": 131296,
-      "rows": 13,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000795-0000-6c14f87330afa261.parquet",
-      "sha256": "6c14f87330afa2616b1f97f8f87c4188a396f7d8867e6e6d1d09672338e2c15f",
-      "bytes": 47704,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.Iteration.Hom.ext'",
     "mathlib:CategoryTheory.Functor.Iteration.restrictionLT_map",
@@ -359,5 +343,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/SmallObject/Construction.lean\",null,null,\"CategoryTheory.SmallObject.\u03c1FunctorObj_\u03c0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/SmallObject/Iteration.lean\",null,null,\"CategoryTheory.Functor.Iteration.Hom.ext'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/SmallObject/Iteration.lean\",null,null,\"CategoryTheory.Functor.Iteration.restrictionLT_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131296,
+      "path": "data/train/pa0/mathlib-000795-0000-6cbb9b229c07792f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6cbb9b229c07792ffc7ce36ad845ad9bafbc9007d30a2f6427cda6dbbe61a379"
+    },
+    {
+      "bytes": 47704,
+      "path": "data/internal_test/pa0/mathlib-000795-0000-6c14f87330afa261.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6c14f87330afa2616b1f97f8f87c4188a396f7d8867e6e6d1d09672338e2c15f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000796.json b/manifests/batches/mathlib/000796.json
index 7e0c994ebecf8d71069bc4a91a3d78113fbc96f8..38d5a1c8b28fa87f92d5973b39d08f0f2d1fa3f6 100644
--- a/manifests/batches/mathlib/000796.json
+++ b/manifests/batches/mathlib/000796.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000796",
   "batch_fingerprint": "ab7ab56b854a2b26c8834ecaf15eebd0da04cdf8dd923dce43b33f53e4fbe659",
   "evidence": {
@@ -881,22 +880,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000796-0000-929abea6fd09f723.parquet",
-      "sha256": "929abea6fd09f72395ff1ee16f1e318d2207b30be20528af31f22189435d104b",
-      "bytes": 211348,
-      "rows": 45,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000796-0000-305deb306c5787e5.parquet",
-      "sha256": "305deb306c5787e5d056a8f09c27c756d34829cf22dd72808be24601fb00f8d4",
-      "bytes": 59210,
-      "rows": 4,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Subobject.arrow_congr",
     "mathlib:CategoryTheory.Subobject.eq_mk_of_comm",
@@ -954,5 +938,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Basic.lean\",null,null,\"CategoryTheory.Subobject.pullback_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Basic.lean\",null,null,\"CategoryTheory.Subobject.pullback_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Basic.lean\",null,null,\"CategoryTheory.Subobject.pullback_map_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211348,
+      "path": "data/train/pb3/mathlib-000796-0000-929abea6fd09f723.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "929abea6fd09f72395ff1ee16f1e318d2207b30be20528af31f22189435d104b"
+    },
+    {
+      "bytes": 59210,
+      "path": "data/internal_test/pb3/mathlib-000796-0000-305deb306c5787e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "305deb306c5787e5d056a8f09c27c756d34829cf22dd72808be24601fb00f8d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000797.json b/manifests/batches/mathlib/000797.json
index 574b991404309cb152a548b3790260632a49aff6..e95d1d9d1ce71e0afbaaa9202e63f7f3d5ba45c3 100644
--- a/manifests/batches/mathlib/000797.json
+++ b/manifests/batches/mathlib/000797.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000797",
   "batch_fingerprint": "98fdbaa662229a557a9040834a37f70025130bb671af1928a2cdecf8ce9bae10",
   "evidence": {
@@ -2089,22 +2088,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000797-0000-3fca6c587f5f84fc.parquet",
-      "sha256": "3fca6c587f5f84fc826385adc9a35e34f80427d0151317f08a0219174237e5bd",
-      "bytes": 96549,
-      "rows": 18,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000797-0000-0dc814061d02b582.parquet",
-      "sha256": "0dc814061d02b5821c215f2b0c39f71b610953db8d8b885c00e9fc25e976eebf",
-      "bytes": 46695,
-      "rows": 5,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Subobject.factorThru_add",
     "mathlib:CategoryTheory.Subobject.factorThru_add_sub_factorThru_left",
@@ -2138,5 +2122,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/FactorThru.lean\",null,null,\"CategoryTheory.Subobject.factors_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/FactorThru.lean\",null,null,\"CategoryTheory.Subobject.factors_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/FactorThru.lean\",null,null,\"CategoryTheory.Subobject.mk_factors_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96549,
+      "path": "data/train/p53/mathlib-000797-0000-3fca6c587f5f84fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3fca6c587f5f84fc826385adc9a35e34f80427d0151317f08a0219174237e5bd"
+    },
+    {
+      "bytes": 46695,
+      "path": "data/internal_test/p53/mathlib-000797-0000-0dc814061d02b582.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0dc814061d02b5821c215f2b0c39f71b610953db8d8b885c00e9fc25e976eebf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000798.json b/manifests/batches/mathlib/000798.json
index f1f61b01b0ea08cd8209bfce9a70e56322113a61..bb3d82b1b4803e48cd49b8666e301e5ab11ccd6b 100644
--- a/manifests/batches/mathlib/000798.json
+++ b/manifests/batches/mathlib/000798.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000798",
   "batch_fingerprint": "90eeaa8552e78f317d26b10ef00f92a0db6304a577cf4353f25e586357307202",
   "evidence": {
@@ -282,22 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000798-0000-9de7abef624985cb.parquet",
-      "sha256": "9de7abef624985cb05a1564f34798a321d6719ee92a9369a677a0adeff9e6f4b",
-      "bytes": 206409,
-      "rows": 48,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000798-0000-16a4615e372280ca.parquet",
-      "sha256": "16a4615e372280ca6eff95454d2963ceb6363801dee1f37a008d0b6d99eb43ed",
-      "bytes": 34802,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Limits.equalizerSubobject_arrow",
     "mathlib:CategoryTheory.Limits.equalizerSubobject_arrow'",
@@ -385,5 +369,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Limits.lean\",null,null,\"CategoryTheory.Limits.kernelSubobject_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Limits.lean\",null,null,\"CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/Limits.lean\",null,null,\"CategoryTheory.Limits.le_kernelSubobject\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206409,
+      "path": "data/train/p33/mathlib-000798-0000-9de7abef624985cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "9de7abef624985cb05a1564f34798a321d6719ee92a9369a677a0adeff9e6f4b"
+    },
+    {
+      "bytes": 34802,
+      "path": "data/internal_test/p33/mathlib-000798-0000-16a4615e372280ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "16a4615e372280ca6eff95454d2963ceb6363801dee1f37a008d0b6d99eb43ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000799.json b/manifests/batches/mathlib/000799.json
index c50e0e026cdcbe74d0f827dc8a94e689b354a01c..ed627dd4bab27c855845dd23975c83a7349897b3 100644
--- a/manifests/batches/mathlib/000799.json
+++ b/manifests/batches/mathlib/000799.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000799",
   "batch_fingerprint": "e31e268208fee74355fc23ddfa43cb99bc937ec0bdd390bd5bf81d29eab6258c",
   "evidence": {
@@ -106,19 +105,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000799-0000-c07b501e728c66d0.parquet",
-      "sha256": "c07b501e728c66d094b0438b2c5c5ca94a109074145c2918807fbb018835f9fb",
-      "bytes": 29883,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.wellPowered_of_equiv"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Subobject/WellPowered.lean\",null,null,\"CategoryTheory.wellPowered_of_equiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 29883,
+      "path": "data/train/p2e/mathlib-000799-0000-c07b501e728c66d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c07b501e728c66d094b0438b2c5c5ca94a109074145c2918807fbb018835f9fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000800.json b/manifests/batches/mathlib/000800.json
index 0e8470133b65a048bd7afe99cb85070f56d22acb..abafa2332c2945b4f305e6fe7dbf55c2dbc6e1f7 100644
--- a/manifests/batches/mathlib/000800.json
+++ b/manifests/batches/mathlib/000800.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000800",
   "batch_fingerprint": "937caf4517cd46ac100d0b224de06402e377713654f2273dd48e316520303253",
   "evidence": {
@@ -587,7 +586,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000801.json b/manifests/batches/mathlib/000801.json
index 5acc4e6f6a814870dd04ae4bd790e03947982f1d..f4d8f1d51b781e671da3a1245c78cbe648d74d7e 100644
--- a/manifests/batches/mathlib/000801.json
+++ b/manifests/batches/mathlib/000801.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000801",
   "batch_fingerprint": "f6ec1e42e7d974e8be92bf0c801d8a6faaf3d648b3451bb68f0b66e8b9c36eed",
   "evidence": {
@@ -681,22 +680,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000801-0000-06ca291ec9f28e1d.parquet",
-      "sha256": "06ca291ec9f28e1d7c0b406674da21b9f39d8b2980924e8eac17bdb5e85f47fc",
-      "bytes": 73953,
-      "rows": 13,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000801-0000-85e3a7e5cf62b99e.parquet",
-      "sha256": "85e3a7e5cf62b99e0a42696907b11f83487d01f0b41651882662772dc43e693a",
-      "bytes": 40251,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Iso.hom_inv_id_triangle_hom\u2081",
     "mathlib:CategoryTheory.Iso.hom_inv_id_triangle_hom\u2082",
@@ -718,5 +702,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Basic.lean\",null,null,\"CategoryTheory.Iso.inv_hom_id_triangle_hom\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Basic.lean\",null,null,\"CategoryTheory.Iso.inv_hom_id_triangle_hom\u2083\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Basic.lean\",null,null,\"CategoryTheory.Pretriangulated.productTriangle.zero\u2083\u2081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73953,
+      "path": "data/train/p6e/mathlib-000801-0000-06ca291ec9f28e1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "06ca291ec9f28e1d7c0b406674da21b9f39d8b2980924e8eac17bdb5e85f47fc"
+    },
+    {
+      "bytes": 40251,
+      "path": "data/internal_test/p6e/mathlib-000801-0000-85e3a7e5cf62b99e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "85e3a7e5cf62b99e0a42696907b11f83487d01f0b41651882662772dc43e693a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000802.json b/manifests/batches/mathlib/000802.json
index 7ff944ae243732f22435fe60f735f848d263177c..28bd3526794f3f22d0488dbd91bdbf0a295cda1e 100644
--- a/manifests/batches/mathlib/000802.json
+++ b/manifests/batches/mathlib/000802.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000802",
   "batch_fingerprint": "3a57f33ea954cde70c723e324eae791803c6f3aec0d92f48f34e158e185d9ff8",
   "evidence": {
@@ -574,29 +573,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000802-0000-78d38645457dffef.parquet",
-      "sha256": "78d38645457dffef283a184dcb52327b3d81ba6871d66b6a09b721d1d556dc12",
-      "bytes": 72525,
-      "rows": 6,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/dev/mathlib-000802-0000-6b56ac941ff89e03.parquet",
-      "sha256": "6b56ac941ff89e03c7eaeaaafae73343530c865908567470e5ecddf8752d897e",
-      "bytes": 48974,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000802-0000-444c6e2bb4ba1664.parquet",
-      "sha256": "444c6e2bb4ba16640fc69056211bc849fa4fd57405d1a482c057f0163a7b2ae7",
-      "bytes": 119367,
-      "rows": 18,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.IsHomological.mk'",
     "mathlib:CategoryTheory.Functor.comp_homologySequence\u03b4",
@@ -616,5 +593,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/HomologicalFunctor.lean\",null,null,\"CategoryTheory.Functor.homologySequence\u03b4_naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/HomologicalFunctor.lean\",null,null,\"CategoryTheory.Functor.isHomological_of_localization\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/HomologicalFunctor.lean\",null,null,\"CategoryTheory.Functor.mem_homologicalKernel_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72525,
+      "path": "data/train/p55/mathlib-000802-0000-78d38645457dffef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "78d38645457dffef283a184dcb52327b3d81ba6871d66b6a09b721d1d556dc12"
+    },
+    {
+      "bytes": 48974,
+      "path": "data/dev/p55/mathlib-000802-0000-6b56ac941ff89e03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6b56ac941ff89e03c7eaeaaafae73343530c865908567470e5ecddf8752d897e"
+    },
+    {
+      "bytes": 119367,
+      "path": "data/internal_test/p55/mathlib-000802-0000-444c6e2bb4ba1664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "444c6e2bb4ba16640fc69056211bc849fa4fd57405d1a482c057f0163a7b2ae7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000803.json b/manifests/batches/mathlib/000803.json
index 4ff84407a9478c8598afc835b58abbb903bd606f..96f854ca44313251baefe04e76364ef43f19a5d1 100644
--- a/manifests/batches/mathlib/000803.json
+++ b/manifests/batches/mathlib/000803.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000803",
   "batch_fingerprint": "02263b7b8be1f7a7f7c1b71e02ec5a0dc4f0d8d3e9658b6dc1d5185dbc571995",
   "evidence": {
@@ -3870,29 +3869,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000803-0000-cae485378586defa.parquet",
-      "sha256": "cae485378586defa2ab24992834e94c8b51703a93d3b2da8ac3ed186039f92ab",
-      "bytes": 197668,
-      "rows": 39,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/dev/mathlib-000803-0000-e42ac4e9c42b325f.parquet",
-      "sha256": "e42ac4e9c42b325f500de890aec1b32249e72a863951d51bb813e33ddb270a2a",
-      "bytes": 40296,
-      "rows": 2,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/mathlib-000803-0000-8a90375b212a0f20.parquet",
-      "sha256": "8a90375b212a0f2058990264a8ab3420ed9035397cb470eef06a945f463cb054",
-      "bytes": 44394,
-      "rows": 1,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Pretriangulated.Opposite.contractible_distinguished",
     "mathlib:CategoryTheory.Pretriangulated.Opposite.isomorphic_distinguished",
@@ -3936,5 +3913,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Pretriangulated.lean\",null,null,\"CategoryTheory.Pretriangulated.comp_distTriang_mor_zero\u2083\u2081\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Pretriangulated.lean\",null,null,\"CategoryTheory.Pretriangulated.distinguished_cocone_triangle\u2081\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Pretriangulated.lean\",null,null,\"CategoryTheory.Pretriangulated.isIso\u2083_of_isIso\u2081\u2082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197668,
+      "path": "data/train/p6f/mathlib-000803-0000-cae485378586defa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "cae485378586defa2ab24992834e94c8b51703a93d3b2da8ac3ed186039f92ab"
+    },
+    {
+      "bytes": 40296,
+      "path": "data/dev/p6f/mathlib-000803-0000-e42ac4e9c42b325f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e42ac4e9c42b325f500de890aec1b32249e72a863951d51bb813e33ddb270a2a"
+    },
+    {
+      "bytes": 44394,
+      "path": "data/internal_test/p6f/mathlib-000803-0000-8a90375b212a0f20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8a90375b212a0f2058990264a8ab3420ed9035397cb470eef06a945f463cb054"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000804.json b/manifests/batches/mathlib/000804.json
index edbea59a31ab575cc5e36f7dc5bc3ae3f0d3c455..a64ad2079e658634f59fc27acb5a9c89d04c29c6 100644
--- a/manifests/batches/mathlib/000804.json
+++ b/manifests/batches/mathlib/000804.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000804",
   "batch_fingerprint": "2d55ab7f6d420d6b16e4c5e62d099e2a8f3fb6bc17a765c21afdab81ce7623b5",
   "evidence": {
@@ -1323,22 +1322,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000804-0000-7bca9273ffcbf9d4.parquet",
-      "sha256": "7bca9273ffcbf9d412d38c38374a24c44d212c65a2638a9722027356af59780e",
-      "bytes": 68783,
-      "rows": 9,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000804-0000-5bfa6035fd21dd8f.parquet",
-      "sha256": "5bfa6035fd21dd8fc9d72a1594be6ddb918dae1955cc3f455e8cff3e41fcbb23",
-      "bytes": 58804,
-      "rows": 2,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Triangulated.Subcategory.W.mk'",
     "mathlib:CategoryTheory.Triangulated.Subcategory.W.shift",
@@ -1354,5 +1338,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Subcategory.lean\",null,null,\"CategoryTheory.Triangulated.Subcategory.W_of_isIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Subcategory.lean\",null,null,\"CategoryTheory.Triangulated.Subcategory.ext\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Subcategory.lean\",null,null,\"CategoryTheory.Triangulated.Subcategory.zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68783,
+      "path": "data/train/p0c/mathlib-000804-0000-7bca9273ffcbf9d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7bca9273ffcbf9d412d38c38374a24c44d212c65a2638a9722027356af59780e"
+    },
+    {
+      "bytes": 58804,
+      "path": "data/internal_test/p0c/mathlib-000804-0000-5bfa6035fd21dd8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5bfa6035fd21dd8fc9d72a1594be6ddb918dae1955cc3f455e8cff3e41fcbb23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000805.json b/manifests/batches/mathlib/000805.json
index c9dc63a53d0b182fc3725b99a86374c231f06fe3..932a1144a3d6c451555b2a0c0068b18d2583e136 100644
--- a/manifests/batches/mathlib/000805.json
+++ b/manifests/batches/mathlib/000805.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000805",
   "batch_fingerprint": "cfb898b340c00dead86ea7a03fb7a59642750276937c980601660e01edf1d3a0",
   "evidence": {
@@ -130,19 +129,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000805-0000-1d3d50c9cbdb0e5f.parquet",
-      "sha256": "1d3d50c9cbdb0e5fa4496574682cfe63c62fe7f748c9e52939e88c1305a4651b",
-      "bytes": 66372,
-      "rows": 2,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.IsTriangulated.mk'"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Triangulated/Triangulated.lean\",null,null,\"CategoryTheory.IsTriangulated.mk'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66372,
+      "path": "data/train/pc2/mathlib-000805-0000-1d3d50c9cbdb0e5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1d3d50c9cbdb0e5fa4496574682cfe63c62fe7f748c9e52939e88c1305a4651b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000806.json b/manifests/batches/mathlib/000806.json
index 3fdb19d18377faafc33fab22b23e5b33fdbd2f48..15581ccc00de36a9b7c4c7dbfc8088b555bf6875 100644
--- a/manifests/batches/mathlib/000806.json
+++ b/manifests/batches/mathlib/000806.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000806",
   "batch_fingerprint": "a329b02b2c0142e322adddb1fc4914019b048924515b182d70c24a5177f19f24",
   "evidence": {
@@ -828,29 +827,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000806-0000-4a66727bbb2cdb48.parquet",
-      "sha256": "4a66727bbb2cdb487d3a16d991b8d908f4110f81bb0fbe7649d012bd5a302d6c",
-      "bytes": 47606,
-      "rows": 5,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/mathlib-000806-0000-6fad56ac3a7cd59f.parquet",
-      "sha256": "6fad56ac3a7cd59f0495928c44d662c9931ca41c95c57e8641a54fe67468e7cd",
-      "bytes": 34482,
-      "rows": 1,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000806-0000-19e2872d4558196d.parquet",
-      "sha256": "19e2872d4558196d0fa6737f0c3105f0410951ba9b69ab06e6a868b0c814b9aa",
-      "bytes": 30315,
-      "rows": 2,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.FunctorToTypes.eqToHom_map_comp_apply",
     "mathlib:CategoryTheory.FunctorToTypes.map_comp_apply",
@@ -866,5 +843,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Types.lean\",null,null,\"CategoryTheory.homOfElement_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Types.lean\",null,null,\"CategoryTheory.types_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/UnivLE.lean\",null,null,\"UnivLE.ofEssSurj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47606,
+      "path": "data/train/pb2/mathlib-000806-0000-4a66727bbb2cdb48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4a66727bbb2cdb487d3a16d991b8d908f4110f81bb0fbe7649d012bd5a302d6c"
+    },
+    {
+      "bytes": 34482,
+      "path": "data/dev/pb2/mathlib-000806-0000-6fad56ac3a7cd59f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6fad56ac3a7cd59f0495928c44d662c9931ca41c95c57e8641a54fe67468e7cd"
+    },
+    {
+      "bytes": 30315,
+      "path": "data/internal_test/pb2/mathlib-000806-0000-19e2872d4558196d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "19e2872d4558196d0fa6737f0c3105f0410951ba9b69ab06e6a868b0c814b9aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000807.json b/manifests/batches/mathlib/000807.json
index 031c123f67cf7e1b7f15c63e787526eb6053accd..c7b5d618ebec870da3ce85d6fd015a35df286bb8 100644
--- a/manifests/batches/mathlib/000807.json
+++ b/manifests/batches/mathlib/000807.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000807",
   "batch_fingerprint": "59e741474b84b8641e5ad6ef864bfdd730f747b2161d2b5d4e298eff47a4e2db",
   "evidence": {
@@ -532,15 +531,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000807-0000-55a169a09c1060cf.parquet",
-      "sha256": "55a169a09c1060cfa41638bd3391f37f0919352590aef9a1cd135c22cc911738",
-      "bytes": 40868,
-      "rows": 2,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CategoryTheory.Functor.pentagon",
     "mathlib:CategoryTheory.Functor.triangle"
@@ -548,5 +539,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Whiskering.lean\",null,null,\"CategoryTheory.Functor.pentagon\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/CategoryTheory/Whiskering.lean\",null,null,\"CategoryTheory.Functor.triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40868,
+      "path": "data/train/pcd/mathlib-000807-0000-55a169a09c1060cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "55a169a09c1060cfa41638bd3391f37f0919352590aef9a1cd135c22cc911738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000808.json b/manifests/batches/mathlib/000808.json
index ae1f29c8d837571b64e0f90fb32a1708b9360b73..e8010ec4a7f412cf7e9cb47081e81cab9cdc3eae 100644
--- a/manifests/batches/mathlib/000808.json
+++ b/manifests/batches/mathlib/000808.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000808",
   "batch_fingerprint": "cee0f771e2aec1374e73745402d099785c94a349d62d0f5942bf03e624965edb",
   "evidence": {
@@ -4046,29 +4045,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000808-0000-98fa748450c2a23c.parquet",
-      "sha256": "98fa748450c2a23c5613ccafaa1700d8595a68f6b803f167e4be671638b9ac75",
-      "bytes": 88516,
-      "rows": 21,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/mathlib-000808-0000-1e4729fac0b30d48.parquet",
-      "sha256": "1e4729fac0b30d48b1557186c00e05c0784b7432f1ac4a766e253003fce94f74",
-      "bytes": 47719,
-      "rows": 5,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000808-0000-2c6b8ef1ffb3f52c.parquet",
-      "sha256": "2c6b8ef1ffb3f52c800bcdc0426d0d045692a2cc92765c67c5ac150b42dcc04d",
-      "bytes": 32842,
-      "rows": 2,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Behrend.bound_aux",
     "mathlib:Behrend.box_zero",
@@ -4102,5 +4079,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean\",null,null,\"Behrend.sphere_zero_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean\",null,null,\"Behrend.sum_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean\",null,null,\"Behrend.threeAPFree_sphere\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88516,
+      "path": "data/train/p52/mathlib-000808-0000-98fa748450c2a23c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "98fa748450c2a23c5613ccafaa1700d8595a68f6b803f167e4be671638b9ac75"
+    },
+    {
+      "bytes": 47719,
+      "path": "data/dev/p52/mathlib-000808-0000-1e4729fac0b30d48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1e4729fac0b30d48b1557186c00e05c0784b7432f1ac4a766e253003fce94f74"
+    },
+    {
+      "bytes": 32842,
+      "path": "data/internal_test/p52/mathlib-000808-0000-2c6b8ef1ffb3f52c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2c6b8ef1ffb3f52c800bcdc0426d0d045692a2cc92765c67c5ac150b42dcc04d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000809.json b/manifests/batches/mathlib/000809.json
index aaee86b58ba0918e99aed2fe692c341fd7e8b22c..9953e7e004826460aa88b4d1764b916d87e95fef 100644
--- a/manifests/batches/mathlib/000809.json
+++ b/manifests/batches/mathlib/000809.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000809",
   "batch_fingerprint": "afc3f52a5e9b7f6781eff77a171da5880f74416ba346f2bc94b16eb4b2a71321",
   "evidence": {
@@ -1302,22 +1301,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000809-0000-1d3c6bf32898f5b5.parquet",
-      "sha256": "1d3c6bf32898f5b5146e81e50d68ad81636cc0889d3144329e307b6f2250f61b",
-      "bytes": 188822,
-      "rows": 54,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/mathlib-000809-0000-e51a1b2e1f1c3e7a.parquet",
-      "sha256": "e51a1b2e1f1c3e7afa2607af370bb51f67fb8181433cc8a0ada192f7cef9608e",
-      "bytes": 56739,
-      "rows": 6,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCorner.image",
     "mathlib:IsMulFreimanHom.mulRothNumber_mono",
@@ -1359,5 +1343,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Corner/Defs.lean\",null,null,\"Set.Subsingleton.isCornerFree\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Corner/Defs.lean\",null,null,\"isCornerFree_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Corner/Defs.lean\",null,null,\"not_isCorner_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188822,
+      "path": "data/train/pdb/mathlib-000809-0000-1d3c6bf32898f5b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "1d3c6bf32898f5b5146e81e50d68ad81636cc0889d3144329e307b6f2250f61b"
+    },
+    {
+      "bytes": 56739,
+      "path": "data/dev/pdb/mathlib-000809-0000-e51a1b2e1f1c3e7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e51a1b2e1f1c3e7afa2607af370bb51f67fb8181433cc8a0ada192f7cef9608e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000810.json b/manifests/batches/mathlib/000810.json
index 0e600c7125bb0a414bc931840f7273923a7e8c28..7f5bf88421bf5ba0e2d4537342640e85df788059 100644
--- a/manifests/batches/mathlib/000810.json
+++ b/manifests/batches/mathlib/000810.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000810",
   "batch_fingerprint": "4be251785377cf822166f35f77e7cdf0d0c6712d0bbc103702aa4964d634d87a",
   "evidence": {
@@ -1431,22 +1430,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000810-0000-88e2b8e7b255c407.parquet",
-      "sha256": "88e2b8e7b255c407a7e74bb646fc69a99f7d3c887800ed94f4148b445f33515e",
-      "bytes": 80741,
-      "rows": 17,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000810-0000-14db53065a19575b.parquet",
-      "sha256": "14db53065a19575b2a87a4ca9befb4cf484276ce0c74479479bce26ab805bdc2",
-      "bytes": 41137,
-      "rows": 4,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Corners.farFromTriangleFree_graph",
     "mathlib:Corners.mk_mem_triangleIndices",
@@ -1468,5 +1452,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Dissociation.lean\",null,null,\"mulDissociated_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Dissociation.lean\",null,null,\"mulDissociated_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Dissociation.lean\",null,null,\"not_mulDissociated\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80741,
+      "path": "data/train/p54/mathlib-000810-0000-88e2b8e7b255c407.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "88e2b8e7b255c407a7e74bb646fc69a99f7d3c887800ed94f4148b445f33515e"
+    },
+    {
+      "bytes": 41137,
+      "path": "data/internal_test/p54/mathlib-000810-0000-14db53065a19575b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "14db53065a19575b2a87a4ca9befb4cf484276ce0c74479479bce26ab805bdc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000811.json b/manifests/batches/mathlib/000811.json
index 9d05509226870fc4319712adea63e4f54980ae7f..e32c70170c8748784c445e1aa6ccf32dc346a9ae 100644
--- a/manifests/batches/mathlib/000811.json
+++ b/manifests/batches/mathlib/000811.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000811",
   "batch_fingerprint": "0623fbb5fd901b8892543f2992166f97011e8f71e330eb464a97d67b233a79dd",
   "evidence": {
@@ -605,15 +604,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000811-0000-03640ad88cabb1f9.parquet",
-      "sha256": "03640ad88cabb1f936b0f4d227d07bb815923875e6739c399e72fcbeebe95fa0",
-      "bytes": 86621,
-      "rows": 31,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.MulETransform.card",
     "mathlib:Finset.le_card_add_mul_mulEnergy",
@@ -659,5 +650,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Energy.lean\",null,null,\"Finset.mulEnergy_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Energy.lean\",null,null,\"Finset.mulEnergy_pos_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/Energy.lean\",null,null,\"Finset.mulEnergy_univ_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86621,
+      "path": "data/train/p29/mathlib-000811-0000-03640ad88cabb1f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "03640ad88cabb1f936b0f4d227d07bb815923875e6739c399e72fcbeebe95fa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000812.json b/manifests/batches/mathlib/000812.json
index 1949b1fe839fb798a10c1bc974d9ab9b0a4d6cc6..64486fe47eb488159cc8fe60abb329544c153fde 100644
--- a/manifests/batches/mathlib/000812.json
+++ b/manifests/batches/mathlib/000812.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000812",
   "batch_fingerprint": "aa19a7319608e34f273d93c6eedd2abfdc62295ad512c222f45556eb7ed648d6",
   "evidence": {
@@ -2036,29 +2035,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000812-0000-ae496205e4fe0584.parquet",
-      "sha256": "ae496205e4fe05842e61fce6a657fe57e047d089c4df8428646b06dea1371e14",
-      "bytes": 96708,
-      "rows": 23,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/mathlib-000812-0000-f6d5d20848a37318.parquet",
-      "sha256": "f6d5d20848a37318b35cdbd96b8bf1ef4d05ffb1c9be032e10b19aa72be68478",
-      "bytes": 47597,
-      "rows": 4,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000812-0000-23df8d3e346bff78.parquet",
-      "sha256": "23df8d3e346bff782698d3a0f93169a3154b4b950b4c0515815246ba0ab180b1",
-      "bytes": 67556,
-      "rows": 4,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.card_div_mul_le_card_div_mul_card_mul",
     "mathlib:Finset.card_div_mul_le_card_mul_mul_card_div",
@@ -2106,5 +2083,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean\",null,null,\"Finset.card_pow_div_pow_le'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean\",null,null,\"Finset.card_pow_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean\",null,null,\"Finset.card_pow_le'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96708,
+      "path": "data/train/pec/mathlib-000812-0000-ae496205e4fe0584.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ae496205e4fe05842e61fce6a657fe57e047d089c4df8428646b06dea1371e14"
+    },
+    {
+      "bytes": 47597,
+      "path": "data/dev/pec/mathlib-000812-0000-f6d5d20848a37318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f6d5d20848a37318b35cdbd96b8bf1ef4d05ffb1c9be032e10b19aa72be68478"
+    },
+    {
+      "bytes": 67556,
+      "path": "data/internal_test/pec/mathlib-000812-0000-23df8d3e346bff78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "23df8d3e346bff782698d3a0f93169a3154b4b950b4c0515815246ba0ab180b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000813.json b/manifests/batches/mathlib/000813.json
index f57a224729db4dba7a9fc3417543184512a4d110..7f0d8e4005963ea016283bddb379d7bc2164c900 100644
--- a/manifests/batches/mathlib/000813.json
+++ b/manifests/batches/mathlib/000813.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000813",
   "batch_fingerprint": "64d11a82bee6fab73da8d6730691cb0bfa5f890968851cf5fbc9aa0203f0ffea",
   "evidence": {
@@ -1290,29 +1289,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000813-0000-07f0e7fc578b87bc.parquet",
-      "sha256": "07f0e7fc578b87bc1994bb292e0eadca840e923c825d46a91efc56269065e45e",
-      "bytes": 75846,
-      "rows": 23,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/mathlib-000813-0000-669d5356a3ad576f.parquet",
-      "sha256": "669d5356a3ad576fbf8f47d7994830287769f77aba75604b79937de454ffe5b8",
-      "bytes": 46161,
-      "rows": 3,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000813-0000-3ff76fd8c1f2e2e2.parquet",
-      "sha256": "3ff76fd8c1f2e2e2d7fc07f28ac81f21d88ab4b22083dc8b0918b831b3736c00",
-      "bytes": 64304,
-      "rows": 13,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Colex.antisymm_aux",
     "mathlib:Finset.Colex.isInitSeg_empty",
@@ -1364,5 +1341,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Colex.lean\",null,null,\"Finset.ofColex_ne_ofColex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Colex.lean\",null,null,\"Finset.toColex_inj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Colex.lean\",null,null,\"Finset.toColex_ne_toColex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75846,
+      "path": "data/train/pa6/mathlib-000813-0000-07f0e7fc578b87bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "07f0e7fc578b87bc1994bb292e0eadca840e923c825d46a91efc56269065e45e"
+    },
+    {
+      "bytes": 46161,
+      "path": "data/dev/pa6/mathlib-000813-0000-669d5356a3ad576f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "669d5356a3ad576fbf8f47d7994830287769f77aba75604b79937de454ffe5b8"
+    },
+    {
+      "bytes": 64304,
+      "path": "data/internal_test/pa6/mathlib-000813-0000-3ff76fd8c1f2e2e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3ff76fd8c1f2e2e2d7fc07f28ac81f21d88ab4b22083dc8b0918b831b3736c00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000814.json b/manifests/batches/mathlib/000814.json
index 558bce2acd0b9c5e28c342cdb88399024aa059c2..6df31407a21276e923d967c188c8ffcbbb6df58b 100644
--- a/manifests/batches/mathlib/000814.json
+++ b/manifests/batches/mathlib/000814.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000814",
   "batch_fingerprint": "373fa81c1f777468533cd73d81207748bc536c083f6a3d91e0500f324512362c",
   "evidence": {
@@ -1597,22 +1596,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000814-0000-809761519ef27daa.parquet",
-      "sha256": "809761519ef27daa9dade254e32c351aaec33d347088335a3811753640060b56",
-      "bytes": 68246,
-      "rows": 13,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/mathlib-000814-0000-c04d26a1b1afa079.parquet",
-      "sha256": "c04d26a1b1afa0793168a8b4390e38c7d80b5ffc0f66ba18c6f0db50f37649e0",
-      "bytes": 48560,
-      "rows": 5,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Configuration.ProjectivePlane.lineCount_eq_pointCount",
     "mathlib:Configuration.ProjectivePlane.one_lt_order",
@@ -1630,5 +1614,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Configuration.lean\",null,null,\"Configuration.ProjectivePlane.two_lt_pointCount\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Derangements/Basic.lean\",null,null,\"derangements.Equiv.RemoveNone.fiber_none\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Derangements/Basic.lean\",null,null,\"derangements.Equiv.RemoveNone.mem_fiber\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68246,
+      "path": "data/train/pe5/mathlib-000814-0000-809761519ef27daa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "809761519ef27daa9dade254e32c351aaec33d347088335a3811753640060b56"
+    },
+    {
+      "bytes": 48560,
+      "path": "data/internal_test/pe5/mathlib-000814-0000-c04d26a1b1afa079.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c04d26a1b1afa0793168a8b4390e38c7d80b5ffc0f66ba18c6f0db50f37649e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000815.json b/manifests/batches/mathlib/000815.json
index 43f6a88813f169436a4ba9208aaacc316e803f04..0e6d2b3d9568ce1ac5a0c6710bd5baa963d6e71e 100644
--- a/manifests/batches/mathlib/000815.json
+++ b/manifests/batches/mathlib/000815.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000815",
   "batch_fingerprint": "079741273a7d0da127890460d452fdc36fdbea32fb8836611a602e1588ad7c16",
   "evidence": {
@@ -577,19 +576,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000815-0000-dc62418d0719130d.parquet",
-      "sha256": "dc62418d0719130d53909d4307960e1cb5bae1a82b83335a40917f9e24a3a47b",
-      "bytes": 44679,
-      "rows": 2,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:card_derangements_eq_numDerangements"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Derangements/Finite.lean\",null,null,\"card_derangements_eq_numDerangements\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44679,
+      "path": "data/train/p3f/mathlib-000815-0000-dc62418d0719130d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc62418d0719130d53909d4307960e1cb5bae1a82b83335a40917f9e24a3a47b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000816.json b/manifests/batches/mathlib/000816.json
index c0870577494ba8c8c7a2b15b70723ea3b730a0aa..44234170ddb57f36a55a0853f103972fdf27ed9f 100644
--- a/manifests/batches/mathlib/000816.json
+++ b/manifests/batches/mathlib/000816.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000816",
   "batch_fingerprint": "f7c806389ec8b8bfd00e10090d710a8e411f43442ccf7a57414d2488ce8a9589",
   "evidence": {
@@ -3549,29 +3548,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000816-0000-38f16245e939cafd.parquet",
-      "sha256": "38f16245e939cafdfa61c34d0f4ce2a80a606fa6b3e15b0d2460398c57deada2",
-      "bytes": 152758,
-      "rows": 63,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/mathlib-000816-0000-a98c0ac87800d0d2.parquet",
-      "sha256": "a98c0ac87800d0d259249052017924e4ca4af0e884a0e4f82780ae1decd4b690",
-      "bytes": 53026,
-      "rows": 5,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000816-0000-2437f2ed8dacb2e2.parquet",
-      "sha256": "2437f2ed8dacb2e23345298e050feab44b899f0cd43db1289a4e9cdb68a7bce0",
-      "bytes": 50471,
-      "rows": 4,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Composition.blocksFun_congr",
     "mathlib:Composition.boundary_last",
@@ -3665,5 +3642,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/Composition.lean\",null,null,\"List.splitWrtCompositionAux_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/Composition.lean\",null,null,\"List.splitWrtComposition_join\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/Composition.lean\",null,null,\"composition_card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152758,
+      "path": "data/train/p0a/mathlib-000816-0000-38f16245e939cafd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "38f16245e939cafdfa61c34d0f4ce2a80a606fa6b3e15b0d2460398c57deada2"
+    },
+    {
+      "bytes": 53026,
+      "path": "data/dev/p0a/mathlib-000816-0000-a98c0ac87800d0d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a98c0ac87800d0d259249052017924e4ca4af0e884a0e4f82780ae1decd4b690"
+    },
+    {
+      "bytes": 50471,
+      "path": "data/internal_test/p0a/mathlib-000816-0000-2437f2ed8dacb2e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2437f2ed8dacb2e23345298e050feab44b899f0cd43db1289a4e9cdb68a7bce0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000817.json b/manifests/batches/mathlib/000817.json
index 6b4f3329f86bf70204f6437fb1f9aad64c2af9a9..d068072295bdcb70b18cb8e518396ff7fd546a2d 100644
--- a/manifests/batches/mathlib/000817.json
+++ b/manifests/batches/mathlib/000817.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000817",
   "batch_fingerprint": "0476eded927ec43114cc7ffe9792907a4344296ab8546e79068148244aba9533",
   "evidence": {
@@ -508,15 +507,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000817-0000-fa32d26f43c18be1.parquet",
-      "sha256": "fa32d26f43c18be1e8db84c0d68bc1a42793390d42baa1ce2c680cbc59c1f310",
-      "bytes": 49331,
-      "rows": 5,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow",
     "mathlib:Fintype.card_le_card_of_leftTotal_unique",
@@ -528,5 +519,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/DoubleCounting.lean\",null,null,\"Fintype.card_le_card_of_leftTotal_unique\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/DoubleCounting.lean\",null,null,\"Fintype.card_le_card_of_rightTotal_unique\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Enumerative/Partition.lean\",null,null,\"Nat.Partition.indiscrete_parts\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49331,
+      "path": "data/train/p7e/mathlib-000817-0000-fa32d26f43c18be1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fa32d26f43c18be1e8db84c0d68bc1a42793390d42baa1ce2c680cbc59c1f310"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000818.json b/manifests/batches/mathlib/000818.json
index d4aa596ba60fd378e7e679511d72abcf4f6fae38..96b3ad5bacbf6541bf270a16a4ca0e00853bfa64 100644
--- a/manifests/batches/mathlib/000818.json
+++ b/manifests/batches/mathlib/000818.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000818",
   "batch_fingerprint": "8b29088ca9a818c26482c80faf249e87618416ef5d8df3919b9e7fbe10c90150",
   "evidence": {
@@ -1398,15 +1397,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000818-0000-701f42f2a463ffc3.parquet",
-      "sha256": "701f42f2a463ffc336f34e3b1701c88f0a827109a28f3b2edaff0511f75a1fc4",
-      "bytes": 57888,
-      "rows": 11,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Combinatorics.Line.apply_none",
     "mathlib:Combinatorics.Line.diagonal_apply",
@@ -1424,5 +1415,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/HalesJewett.lean\",null,null,\"Combinatorics.Line.map_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/HalesJewett.lean\",null,null,\"Combinatorics.Line.prod_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/HalesJewett.lean\",null,null,\"Combinatorics.Line.vertical_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57888,
+      "path": "data/train/p4d/mathlib-000818-0000-701f42f2a463ffc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "701f42f2a463ffc336f34e3b1701c88f0a827109a28f3b2edaff0511f75a1fc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000819.json b/manifests/batches/mathlib/000819.json
index 6cc49e6f06e0116301505cd2fe6ca2077b841a62..5df2317b43c65fb9394cfb771ad07fb9af18d218 100644
--- a/manifests/batches/mathlib/000819.json
+++ b/manifests/batches/mathlib/000819.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000819",
   "batch_fingerprint": "4828c4421c9a5d6b2130da904a548808ea96a51a8dc4ecabded61e6edeaf4432",
   "evidence": {
@@ -2079,19 +2078,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000819-0000-efbae5803347fbe5.parquet",
-      "sha256": "efbae5803347fbe5995c8a98d87ee890a6f145a56f9c6073c6b3e14305db7503",
-      "bytes": 44365,
-      "rows": 9,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Hindman.FP.mul_two"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Hindman.lean\",null,null,\"Hindman.FP.mul_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44365,
+      "path": "data/train/p12/mathlib-000819-0000-efbae5803347fbe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "efbae5803347fbe5995c8a98d87ee890a6f145a56f9c6073c6b3e14305db7503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000820.json b/manifests/batches/mathlib/000820.json
index ac83e0e2ea5e45054107fcb974b6f19ee1af9923..d54f7ebcdc138acc0fb83ecb943386622f966e13 100644
--- a/manifests/batches/mathlib/000820.json
+++ b/manifests/batches/mathlib/000820.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000820",
   "batch_fingerprint": "90c4ce8cff03a2ba91f8e1136187c04f6faff4dd9c2da540e7c2532c62685cba",
   "evidence": {
@@ -863,22 +862,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000820-0000-9cc7ca34cc7a83d3.parquet",
-      "sha256": "9cc7ca34cc7a83d33f7239bf48a05aac9b1ed92edfcda8cbbc10a5c7fec912a1",
-      "bytes": 64638,
-      "rows": 8,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000820-0000-bf5ffc16d8e85810.parquet",
-      "sha256": "bf5ffc16d8e858108d2edf306ba29994b1cad24e9cfea5323427b235bcafcac8",
-      "bytes": 57563,
-      "rows": 4,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.exists_card_fiber_le_of_card_le_nsmul",
     "mathlib:Finset.exists_card_fiber_lt_of_card_lt_nsmul",
@@ -898,5 +882,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Pigeonhole.lean\",null,null,\"Finset.exists_lt_card_fiber_of_nsmul_lt_card_of_maps_to\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Pigeonhole.lean\",null,null,\"Finset.exists_lt_sum_fiber_of_maps_to_of_nsmul_lt_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Pigeonhole.lean\",null,null,\"Finset.exists_lt_sum_fiber_of_sum_fiber_nonpos_of_nsmul_lt_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64638,
+      "path": "data/train/pd3/mathlib-000820-0000-9cc7ca34cc7a83d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9cc7ca34cc7a83d33f7239bf48a05aac9b1ed92edfcda8cbbc10a5c7fec912a1"
+    },
+    {
+      "bytes": 57563,
+      "path": "data/internal_test/pd3/mathlib-000820-0000-bf5ffc16d8e85810.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bf5ffc16d8e858108d2edf306ba29994b1cad24e9cfea5323427b235bcafcac8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000821.json b/manifests/batches/mathlib/000821.json
index 5a622596fa0fa621c2b96db14dbd1577c80586a2..8f5e53f96340edc4ddf4689e9b74bd57a6c6c4d4 100644
--- a/manifests/batches/mathlib/000821.json
+++ b/manifests/batches/mathlib/000821.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000821",
   "batch_fingerprint": "ec5cb9a3c3621fcfd89dab662c380ca6e482e6e5d803c546a7faec0d79fb9fc1",
   "evidence": {
@@ -267,19 +266,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000821-0000-ede680c04089db39.parquet",
-      "sha256": "ede680c04089db3916cd87f11f2eb4a72b0ae8be0da97f43831981635740d606",
-      "bytes": 30235,
-      "rows": 1,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Prefunctor.congr_map"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Basic.lean\",null,null,\"Prefunctor.congr_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 30235,
+      "path": "data/train/pbd/mathlib-000821-0000-ede680c04089db39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ede680c04089db3916cd87f11f2eb4a72b0ae8be0da97f43831981635740d606"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000822.json b/manifests/batches/mathlib/000822.json
index 022168c3c7d51b9d5c62ddc209a1a5dd6ccbb296..3c2df319a46b143107ee5ab3b71c82912386d921 100644
--- a/manifests/batches/mathlib/000822.json
+++ b/manifests/batches/mathlib/000822.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000822",
   "batch_fingerprint": "6e6e4e256a89dd7beecae10759bb9dde2637d6d29cb04bd42f2cdc91a6d000bf",
   "evidence": {
@@ -267,22 +266,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000822-0000-8d8e9be1a4ac5a58.parquet",
-      "sha256": "8d8e9be1a4ac5a58b53577e3e13a6c112f81607f400e8cad5a3ec3d60ccfbf23",
-      "bytes": 53470,
-      "rows": 18,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000822-0000-8194129e8b384e20.parquet",
-      "sha256": "8194129e8b384e2014218131b7ea2edf2a433e151b38eecd1539ccc7c22ae8b1",
-      "bytes": 36609,
-      "rows": 4,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quiver.Hom.cast_cast",
     "mathlib:Quiver.Hom.cast_eq_iff_heq",
@@ -308,5 +292,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Cast.lean\",null,null,\"Quiver.Path.cast_nil\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Cast.lean\",null,null,\"Quiver.cast_eq_of_cons_eq_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Cast.lean\",null,null,\"Quiver.hom_cast_eq_of_cons_eq_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53470,
+      "path": "data/train/p32/mathlib-000822-0000-8d8e9be1a4ac5a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8d8e9be1a4ac5a58b53577e3e13a6c112f81607f400e8cad5a3ec3d60ccfbf23"
+    },
+    {
+      "bytes": 36609,
+      "path": "data/internal_test/p32/mathlib-000822-0000-8194129e8b384e20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8194129e8b384e2014218131b7ea2edf2a433e151b38eecd1539ccc7c22ae8b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000823.json b/manifests/batches/mathlib/000823.json
index c72530068da0a3e89ffc271fa9051fe50016c893..45697f50d44b68e63128607c9e7f78d13408d888 100644
--- a/manifests/batches/mathlib/000823.json
+++ b/manifests/batches/mathlib/000823.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000823",
   "batch_fingerprint": "ef6809fd4c1f54173a36cb323b8fbbfe0c77e161be51b75f2416b8b802b52f9a",
   "evidence": {
@@ -1533,29 +1532,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000823-0000-51375a8da0b68825.parquet",
-      "sha256": "51375a8da0b6882536f6fa86295d0beed1573532582d277b12bc2a703e32b143",
-      "bytes": 60508,
-      "rows": 8,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/mathlib-000823-0000-f56f11a5472897a2.parquet",
-      "sha256": "f56f11a5472897a25742a20fc639f0b1c65df0c7b7ff54564a28eef05e108fb2",
-      "bytes": 45444,
-      "rows": 1,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000823-0000-8e19b4accd2d3574.parquet",
-      "sha256": "8e19b4accd2d3574299753cb36570558109088ad55ab88647086ba96bfc77714",
-      "bytes": 28615,
-      "rows": 2,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Prefunctor.IsCovering.of_comp_left",
     "mathlib:Prefunctor.bijective_costar_iff_bijective_star",
@@ -1579,5 +1556,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Path.lean\",null,null,\"Quiver.Path.nil_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Path.lean\",null,null,\"Quiver.Path.nil_ne_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/Path.lean\",null,null,\"Quiver.Path.obj_eq_of_cons_eq_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60508,
+      "path": "data/train/p57/mathlib-000823-0000-51375a8da0b68825.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "51375a8da0b6882536f6fa86295d0beed1573532582d277b12bc2a703e32b143"
+    },
+    {
+      "bytes": 45444,
+      "path": "data/dev/p57/mathlib-000823-0000-f56f11a5472897a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f56f11a5472897a25742a20fc639f0b1c65df0c7b7ff54564a28eef05e108fb2"
+    },
+    {
+      "bytes": 28615,
+      "path": "data/internal_test/p57/mathlib-000823-0000-8e19b4accd2d3574.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e19b4accd2d3574299753cb36570558109088ad55ab88647086ba96bfc77714"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000824.json b/manifests/batches/mathlib/000824.json
index bcc066843325855741c9e8ef937a898911614e83..9e76201aac3f931e83a5e6b5c6eba8650fb2a911 100644
--- a/manifests/batches/mathlib/000824.json
+++ b/manifests/batches/mathlib/000824.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000824",
   "batch_fingerprint": "8949cc2cf104647189c47f647634c356ad3c608b49a385aaa1277e2fe3a8265b",
   "evidence": {
@@ -635,19 +634,20 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000824-0000-1b42ca1d7073c91d.parquet",
-      "sha256": "1b42ca1d7073c91d527e98867eca58944b127ddc91ba2db4771a080efe326dbd",
-      "bytes": 42821,
-      "rows": 1,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quiver.SingleObj.toPrefunctor_symm_comp"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Quiver/SingleObj.lean\",null,null,\"Quiver.SingleObj.toPrefunctor_symm_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42821,
+      "path": "data/train/pd6/mathlib-000824-0000-1b42ca1d7073c91d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1b42ca1d7073c91d527e98867eca58944b127ddc91ba2db4771a080efe326dbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000825.json b/manifests/batches/mathlib/000825.json
index 1b8f32ee5dbce8ed23d6f8a01d561f6d7363bd3a..1a3170e89a447db09d1a5557fa889b5a6cdf6fe6 100644
--- a/manifests/batches/mathlib/000825.json
+++ b/manifests/batches/mathlib/000825.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000825",
   "batch_fingerprint": "eafd482d5d23ffb9605e2c64e7e480f05b82b374b55c928cbe9ae424148bf6f0",
   "evidence": {
@@ -1544,22 +1543,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000825-0000-b1b921ece7a83da3.parquet",
-      "sha256": "b1b921ece7a83da318c697b5ed21ef7c446d28f6c9fb3625305636ba157df157",
-      "bytes": 66296,
-      "rows": 25,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/mathlib-000825-0000-4a6eafa51368aefd.parquet",
-      "sha256": "4a6eafa51368aefd47c653d2eb90ce3476ae8c668d0dd113d5a396723af66e05",
-      "bytes": 36836,
-      "rows": 3,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quiver.eq_reverse_iff",
     "mathlib:Quiver.reverse_reverse",
@@ -1599,5 +1583,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Schnirelmann.lean\",null,null,\"schnirelmannDensity_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Schnirelmann.lean\",null,null,\"schnirelmannDensity_setOf_even\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Schnirelmann.lean\",null,null,\"schnirelmannDensity_setOf_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66296,
+      "path": "data/train/pab/mathlib-000825-0000-b1b921ece7a83da3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b1b921ece7a83da318c697b5ed21ef7c446d28f6c9fb3625305636ba157df157"
+    },
+    {
+      "bytes": 36836,
+      "path": "data/dev/pab/mathlib-000825-0000-4a6eafa51368aefd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a6eafa51368aefd47c653d2eb90ce3476ae8c668d0dd113d5a396723af66e05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000826.json b/manifests/batches/mathlib/000826.json
index f58bfd639dc52bdc0586eb6eb19462d777d44046..65b3bf4aad7eb16d3c545c6e5e0aabc876d51ae2 100644
--- a/manifests/batches/mathlib/000826.json
+++ b/manifests/batches/mathlib/000826.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000826",
   "batch_fingerprint": "92062e5732bec9d81c217d175db612ce0db8053a729a7cd2310ea4ca815cc602",
   "evidence": {
@@ -1858,29 +1857,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000826-0000-380b9c20f6597019.parquet",
-      "sha256": "380b9c20f65970192f068977c2b7ff104a91fd5ad5bbe9dca22303080a2ccd10",
-      "bytes": 186119,
-      "rows": 44,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/mathlib-000826-0000-0c53a104afccda70.parquet",
-      "sha256": "0c53a104afccda705600f79b61fd1b4a8f80c82fb5bbbdd61526f741fe87cf6f",
-      "bytes": 65955,
-      "rows": 6,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/mathlib-000826-0000-1a6e4bf6810655b0.parquet",
-      "sha256": "1a6e4bf6810655b066f7de6c678a069b055e335b6e74ab1be2e4b478e25fb4ef",
-      "bytes": 66716,
-      "rows": 6,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AhlswedeZhang.infSum_compls_add_supSum",
     "mathlib:AhlswedeZhang.infSum_eq_one",
@@ -1942,5 +1919,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/CauchyDavenport.lean\",null,null,\"ZMod.min_le_card_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/CauchyDavenport.lean\",null,null,\"devosMulRel_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/CauchyDavenport.lean\",null,null,\"wellFoundedOn_devosMulRel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186119,
+      "path": "data/train/pda/mathlib-000826-0000-380b9c20f6597019.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "380b9c20f65970192f068977c2b7ff104a91fd5ad5bbe9dca22303080a2ccd10"
+    },
+    {
+      "bytes": 65955,
+      "path": "data/dev/pda/mathlib-000826-0000-0c53a104afccda70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0c53a104afccda705600f79b61fd1b4a8f80c82fb5bbbdd61526f741fe87cf6f"
+    },
+    {
+      "bytes": 66716,
+      "path": "data/internal_test/pda/mathlib-000826-0000-1a6e4bf6810655b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1a6e4bf6810655b066f7de6c678a069b055e335b6e74ab1be2e4b478e25fb4ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000827.json b/manifests/batches/mathlib/000827.json
index 9c7d325399566cb9510f6a0c1e4aef338b8b06cf..496e8fe14604cd0eeede790aeda32f466cc05ba7 100644
--- a/manifests/batches/mathlib/000827.json
+++ b/manifests/batches/mathlib/000827.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000827",
   "batch_fingerprint": "586d595eab8f06faf4ef9d1e08a73eb954d1565c08bc7c40b8060cf4ba7cf774",
   "evidence": {
@@ -2729,29 +2728,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000827-0000-d67d9b13fbac8010.parquet",
-      "sha256": "d67d9b13fbac8010bce215413dcc837a9583444eac90f0b1d2adfeb60cd1cb32",
-      "bytes": 147803,
-      "rows": 34,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000827-0000-f30d7dba3e9a735c.parquet",
-      "sha256": "f30d7dba3e9a735cb7dea4873595a3ce0ec68c0748789598ecf0ff88415a2487",
-      "bytes": 40010,
-      "rows": 4,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000827-0000-fc6c5f2b25d8b17a.parquet",
-      "sha256": "fc6c5f2b25d8b17a982310ab948798772d36336fac13c4269b598372ceab920b",
-      "bytes": 41998,
-      "rows": 3,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Down.erase_mem_compression",
     "mathlib:Down.erase_mem_compression_of_mem_compression",
@@ -2793,5 +2770,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Compression/UV.lean\",null,null,\"UV.compress_sdiff_sdiff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Compression/UV.lean\",null,null,\"UV.compression_idem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Compression/UV.lean\",null,null,\"UV.mem_compression\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147803,
+      "path": "data/train/pfb/mathlib-000827-0000-d67d9b13fbac8010.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "d67d9b13fbac8010bce215413dcc837a9583444eac90f0b1d2adfeb60cd1cb32"
+    },
+    {
+      "bytes": 40010,
+      "path": "data/dev/pfb/mathlib-000827-0000-f30d7dba3e9a735c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f30d7dba3e9a735cb7dea4873595a3ce0ec68c0748789598ecf0ff88415a2487"
+    },
+    {
+      "bytes": 41998,
+      "path": "data/internal_test/pfb/mathlib-000827-0000-fc6c5f2b25d8b17a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fc6c5f2b25d8b17a982310ab948798772d36336fac13c4269b598372ceab920b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000828.json b/manifests/batches/mathlib/000828.json
index 3e4e4f4717533837a05e7ada911f771825843d56..b4b2ff0176434ccf1adaa38af4ad848558e8c820 100644
--- a/manifests/batches/mathlib/000828.json
+++ b/manifests/batches/mathlib/000828.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000828",
   "batch_fingerprint": "beb43aabd9af671a67ad9b3b6c68117c8b5ec8b0592c93f9be5f2baef2036059",
   "evidence": {
@@ -1624,22 +1623,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000828-0000-37989952e1edba3c.parquet",
-      "sha256": "37989952e1edba3c664c33e751f50f34b25569a2f7f3b5980f792f53329f989f",
-      "bytes": 94704,
-      "rows": 20,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000828-0000-f896273d487146d3.parquet",
-      "sha256": "f896273d487146d3134ffa07b0b04b7fd702d3dd27cd3db2162617ff4153856d",
-      "bytes": 68848,
-      "rows": 8,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.card_le_card_diffs",
     "mathlib:Finset.le_card_infs_mul_card_sups",
@@ -1669,5 +1653,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/HarrisKleitman.lean\",null,null,\"IsLowerSet.memberSubfamily_subset_nonMemberSubfamily\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/HarrisKleitman.lean\",null,null,\"IsLowerSet.nonMemberSubfamily\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/HarrisKleitman.lean\",null,null,\"IsUpperSet.card_inter_le_finset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94704,
+      "path": "data/train/p51/mathlib-000828-0000-37989952e1edba3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "37989952e1edba3c664c33e751f50f34b25569a2f7f3b5980f792f53329f989f"
+    },
+    {
+      "bytes": 68848,
+      "path": "data/internal_test/p51/mathlib-000828-0000-f896273d487146d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f896273d487146d3134ffa07b0b04b7fd702d3dd27cd3db2162617ff4153856d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000829.json b/manifests/batches/mathlib/000829.json
index cfb957240a5c20b7a550298fa23b9e2fe7f5f805..5a9121dbd0a63f7f2fac1133fdc0ef49d36d9cb7 100644
--- a/manifests/batches/mathlib/000829.json
+++ b/manifests/batches/mathlib/000829.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000829",
   "batch_fingerprint": "89aba4f234d710f57e6f4f6a35c2c83560f76cacc4bbf870749137e74e392080",
   "evidence": {
@@ -1140,15 +1139,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000829-0000-34e566b3096b9c28.parquet",
-      "sha256": "34e566b3096b9c28fc609209a2601ce26df06a9c4706df88286c74b93567d66a",
-      "bytes": 44714,
-      "rows": 5,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Intersecting.disjoint_map_compl",
     "mathlib:Set.intersecting_singleton"
@@ -1156,5 +1147,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Intersecting.lean\",null,null,\"Set.Intersecting.disjoint_map_compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Intersecting.lean\",null,null,\"Set.intersecting_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44714,
+      "path": "data/train/p04/mathlib-000829-0000-34e566b3096b9c28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "34e566b3096b9c28fc609209a2601ce26df06a9c4706df88286c74b93567d66a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000830.json b/manifests/batches/mathlib/000830.json
index 954d3a95f712203194af1f55722de15cb03f3583..26ced94e4b6576752475c1155aeaa24a133914fd 100644
--- a/manifests/batches/mathlib/000830.json
+++ b/manifests/batches/mathlib/000830.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000830",
   "batch_fingerprint": "2502ddfe5dbf40aca8784e6f81d109bb4c52e3c6749b26e762ff8b32f9a496f8",
   "evidence": {
@@ -1598,29 +1597,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000830-0000-b44d9e496b5d7f02.parquet",
-      "sha256": "b44d9e496b5d7f02e579df766484a55219ba2962890e18fc663158d9ac3a0d89",
-      "bytes": 161436,
-      "rows": 41,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000830-0000-0f17e8a1a39b58f0.parquet",
-      "sha256": "0f17e8a1a39b58f036fc37d2040cab60ccad389502600af3a6d89d5861d9405a",
-      "bytes": 61067,
-      "rows": 3,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000830-0000-d3790eba7d52844f.parquet",
-      "sha256": "d3790eba7d52844f3cb9cd41b43df0c1a26e28f663ccb88b636156f551cc61ce",
-      "bytes": 39365,
-      "rows": 1,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.IsAntichain.disjoint_slice_shadow_falling",
     "mathlib:Finset.mem_falling",
@@ -1660,5 +1637,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shadow.lean\",null,null,\"Set.Sized.shadow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shadow.lean\",null,null,\"Set.Sized.shadow_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shadow.lean\",null,null,\"Set.Sized.upShadow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161436,
+      "path": "data/train/p62/mathlib-000830-0000-b44d9e496b5d7f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "b44d9e496b5d7f02e579df766484a55219ba2962890e18fc663158d9ac3a0d89"
+    },
+    {
+      "bytes": 61067,
+      "path": "data/dev/p62/mathlib-000830-0000-0f17e8a1a39b58f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0f17e8a1a39b58f036fc37d2040cab60ccad389502600af3a6d89d5861d9405a"
+    },
+    {
+      "bytes": 39365,
+      "path": "data/internal_test/p62/mathlib-000830-0000-d3790eba7d52844f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d3790eba7d52844f3cb9cd41b43df0c1a26e28f663ccb88b636156f551cc61ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000831.json b/manifests/batches/mathlib/000831.json
index 5e53d600c0f8d9b09dbd3551160922a0961246fa..0066ee79b8bd325426a76615b5d42a120af33704 100644
--- a/manifests/batches/mathlib/000831.json
+++ b/manifests/batches/mathlib/000831.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000831",
   "batch_fingerprint": "4da34b1f59150e14bc34441505b0be4448ab82f4e379270765a3b77f45bbd3a0",
   "evidence": {
@@ -1785,22 +1784,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000831-0000-f8cc84f67ba5555f.parquet",
-      "sha256": "f8cc84f67ba5555f832cf58b81bb1eb7e82b8156bbf985a8c0b90a956a1ee0a5",
-      "bytes": 70303,
-      "rows": 19,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000831-0000-cc733973e5d14028.parquet",
-      "sha256": "cc733973e5d140282d3727500596cfbb18452be0f7844c79766af1556a5a038b",
-      "bytes": 42089,
-      "rows": 2,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Shatters.mono_right",
     "mathlib:Finset.Shatters.subset_iff",
@@ -1828,5 +1812,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shatter.lean\",null,null,\"Finset.shatters_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shatter.lean\",null,null,\"Finset.shatters_shatterer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SetFamily/Shatter.lean\",null,null,\"Finset.shatters_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70303,
+      "path": "data/train/pd0/mathlib-000831-0000-f8cc84f67ba5555f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f8cc84f67ba5555f832cf58b81bb1eb7e82b8156bbf985a8c0b90a956a1ee0a5"
+    },
+    {
+      "bytes": 42089,
+      "path": "data/internal_test/pd0/mathlib-000831-0000-cc733973e5d14028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cc733973e5d140282d3727500596cfbb18452be0f7844c79766af1556a5a038b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000832.json b/manifests/batches/mathlib/000832.json
index 98bb512906f283bfb0fb35eaa44a1f8eb01d9a9b..9d425f27f86a96d3e2109189e9202a3f68e2c808 100644
--- a/manifests/batches/mathlib/000832.json
+++ b/manifests/batches/mathlib/000832.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000832",
   "batch_fingerprint": "cfb1dee8ca67eb6c697cba01b08048cbe46db35d5e99e9fe3577ed0ae655b0ff",
   "evidence": {
@@ -1764,29 +1763,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000832-0000-1f2bb0b6f93c58be.parquet",
-      "sha256": "1f2bb0b6f93c58be9ff65edc69ec17c4d0ed104090bf88a8edd2904b8093981c",
-      "bytes": 238096,
-      "rows": 94,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000832-0000-8fd5849578f81816.parquet",
-      "sha256": "8fd5849578f81816296ff1e6430a84e4a25a1ee16ea7f609893f130acb5800ec",
-      "bytes": 55369,
-      "rows": 10,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000832-0000-07a48214af0c5ab5.parquet",
-      "sha256": "07a48214af0c5ab58971bfd200dae8c62e6b1f974b83bc3af6a7d3e0acdaa22e",
-      "bytes": 50418,
-      "rows": 6,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.IsAdjMatrix.adjMatrix_toGraph_eq",
     "mathlib:Matrix.IsAdjMatrix.apply_diag_ne",
@@ -1920,5 +1897,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Basic.lean\",null,null,\"SimpleGraph.neighborSet_union_compl_neighborSet_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Basic.lean\",null,null,\"SimpleGraph.not_mem_neighborSet_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Basic.lean\",null,null,\"SimpleGraph.sInf_adj_of_nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238096,
+      "path": "data/train/p11/mathlib-000832-0000-1f2bb0b6f93c58be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "1f2bb0b6f93c58be9ff65edc69ec17c4d0ed104090bf88a8edd2904b8093981c"
+    },
+    {
+      "bytes": 55369,
+      "path": "data/dev/p11/mathlib-000832-0000-8fd5849578f81816.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8fd5849578f81816296ff1e6430a84e4a25a1ee16ea7f609893f130acb5800ec"
+    },
+    {
+      "bytes": 50418,
+      "path": "data/internal_test/p11/mathlib-000832-0000-07a48214af0c5ab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "07a48214af0c5ab58971bfd200dae8c62e6b1f974b83bc3af6a7d3e0acdaa22e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000833.json b/manifests/batches/mathlib/000833.json
index b0a364878516f6507f3ebb2a183595560f0c3aa6..5661d93df789c62fbedf004d87a68220d6e3d604 100644
--- a/manifests/batches/mathlib/000833.json
+++ b/manifests/batches/mathlib/000833.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000833",
   "batch_fingerprint": "950505ee5ad76c70230bf3861eb97d824fdb36632b51139f9c4be14750c54141",
   "evidence": {
@@ -3603,22 +3602,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000833-0000-d3356a7547d7e0f8.parquet",
-      "sha256": "d3356a7547d7e0f8bff4cccf524c13fa6da366bc24db285181fc47d52404cf15",
-      "bytes": 308908,
-      "rows": 127,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000833-0000-03d0e634451b196a.parquet",
-      "sha256": "03d0e634451b196a8ba9c37a425005679336099ba0f80e8c1fc216b1b8a475a6",
-      "bytes": 63202,
-      "rows": 15,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.CliqueFree.mono",
     "mathlib:SimpleGraph.CliqueFreeOn.mono",
@@ -3724,5 +3708,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Coloring.lean\",null,null,\"SimpleGraph.isEmpty_of_chromaticNumber_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Coloring.lean\",null,null,\"SimpleGraph.isEmpty_of_colorable_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Coloring.lean\",null,null,\"SimpleGraph.le_chromaticNumber_iff_forall_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308908,
+      "path": "data/train/p54/mathlib-000833-0000-d3356a7547d7e0f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 127,
+      "sha256": "d3356a7547d7e0f8bff4cccf524c13fa6da366bc24db285181fc47d52404cf15"
+    },
+    {
+      "bytes": 63202,
+      "path": "data/internal_test/p54/mathlib-000833-0000-03d0e634451b196a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "03d0e634451b196a8ba9c37a425005679336099ba0f80e8c1fc216b1b8a475a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000834.json b/manifests/batches/mathlib/000834.json
index 785d8b8455bc3c96382264256b21fe2cd28f6884..170ef99a2429d9295f9b469224d8a83c19328cb5 100644
--- a/manifests/batches/mathlib/000834.json
+++ b/manifests/batches/mathlib/000834.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000834",
   "batch_fingerprint": "c5e8e27659226ca0246d4d87a57e4ac6c2624607c0a2a5d89ce7c3fc90081022",
   "evidence": {
@@ -7567,29 +7566,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000834-0000-492dd17fcf4805a5.parquet",
-      "sha256": "492dd17fcf4805a5b07912acb8fa38b0aa14f64a134e3815da7c17d07d72cfab",
-      "bytes": 465992,
-      "rows": 181,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000834-0000-e87e3b3157d9a23d.parquet",
-      "sha256": "e87e3b3157d9a23d7e01bdda8fe530ebe5c37c9d318c254d84e6daf0101bac7e",
-      "bytes": 57433,
-      "rows": 14,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000834-0000-ceae5c185fd65011.parquet",
-      "sha256": "ceae5c185fd65011f1e9575feb9f5abb6897d748321144926d85333f8c0bc4a0",
-      "bytes": 72372,
-      "rows": 24,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Coloring.odd_length_iff_not_congr",
     "mathlib:SimpleGraph.ConnectedComponent.iso_image_comp_eq_map_iff_eq_comp",
@@ -7873,5 +7850,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Connectivity.lean\",null,null,\"SimpleGraph.set_walk_length_toFinset_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Connectivity.lean\",null,null,\"SimpleGraph.set_walk_length_zero_eq_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Connectivity.lean\",null,null,\"SimpleGraph.set_walk_self_length_zero_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465992,
+      "path": "data/train/p7b/mathlib-000834-0000-492dd17fcf4805a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 181,
+      "sha256": "492dd17fcf4805a5b07912acb8fa38b0aa14f64a134e3815da7c17d07d72cfab"
+    },
+    {
+      "bytes": 57433,
+      "path": "data/dev/p7b/mathlib-000834-0000-e87e3b3157d9a23d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e87e3b3157d9a23d7e01bdda8fe530ebe5c37c9d318c254d84e6daf0101bac7e"
+    },
+    {
+      "bytes": 72372,
+      "path": "data/internal_test/p7b/mathlib-000834-0000-ceae5c185fd65011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ceae5c185fd65011f1e9575feb9f5abb6897d748321144926d85333f8c0bc4a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000835.json b/manifests/batches/mathlib/000835.json
index 09fcccfc049ab2c43a7feb0adce81149d67ffb55..550c6e753c6bf0bf9b6a212679ea27958b5615c3 100644
--- a/manifests/batches/mathlib/000835.json
+++ b/manifests/batches/mathlib/000835.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000835",
   "batch_fingerprint": "ff9f93051d82823df183650eeb6059a744a01a83221bc01cd7842d1011713879",
   "evidence": {
@@ -956,22 +955,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000835-0000-0aa39a252759b55c.parquet",
-      "sha256": "0aa39a252759b55ca4ab38c1670b4ea0cc261a0eedfc6386eaa7cd1c5937fd16",
-      "bytes": 139100,
-      "rows": 43,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000835-0000-effc7f621818e945.parquet",
-      "sha256": "effc7f621818e9454f7340600e70b06d94e569dace47d81d6060d91c9828fe24",
-      "bytes": 39100,
-      "rows": 3,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Dart.ext_iff",
     "mathlib:SimpleGraph.Subgraph.Connected.mono",
@@ -1011,5 +995,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Dart.lean\",null,null,\"SimpleGraph.dartOfNeighborSet_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Dart.lean\",null,null,\"SimpleGraph.dart_edge_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Dart.lean\",null,null,\"SimpleGraph.dart_edge_eq_mk'_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139100,
+      "path": "data/train/pea/mathlib-000835-0000-0aa39a252759b55c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "0aa39a252759b55ca4ab38c1670b4ea0cc261a0eedfc6386eaa7cd1c5937fd16"
+    },
+    {
+      "bytes": 39100,
+      "path": "data/dev/pea/mathlib-000835-0000-effc7f621818e945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "effc7f621818e9454f7340600e70b06d94e569dace47d81d6060d91c9828fe24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000836.json b/manifests/batches/mathlib/000836.json
index 2cf6f3eba720e9b7ebefd5994413b0fa9e7878b7..0e50d8947a684d3a9f021da954cd945fb59eb555 100644
--- a/manifests/batches/mathlib/000836.json
+++ b/manifests/batches/mathlib/000836.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000836",
   "batch_fingerprint": "965e0b028cb98af7a8b4e1c5bf2429a40a080cae8e460e324212945feeb5ae5e",
   "evidence": {
@@ -2047,29 +2046,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000836-0000-cec8fda94e40be03.parquet",
-      "sha256": "cec8fda94e40be03194504be674c6f48d80031035934579a97c30cec522de065",
-      "bytes": 153219,
-      "rows": 34,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/mathlib-000836-0000-332ee8d4ca19b6b5.parquet",
-      "sha256": "332ee8d4ca19b6b5bb169735ffe7a6b9c8c0f5142e9b722ab51172046af52045",
-      "bytes": 67283,
-      "rows": 8,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000836-0000-7b72b6d354d4c61d.parquet",
-      "sha256": "7b72b6d354d4c61d3ec12d7e1c47ebf7077c8504ef59f6c45e446d1f3139ef3a",
-      "bytes": 49000,
-      "rows": 1,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Rel.abs_edgeDensity_sub_edgeDensity_le_one_sub_mul",
     "mathlib:Rel.card_interedges_finpartition",
@@ -2113,5 +2090,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Density.lean\",null,null,\"Rel.interedges_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Density.lean\",null,null,\"Rel.mem_interedges_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Density.lean\",null,null,\"Rel.swap_mem_interedges_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153219,
+      "path": "data/train/p28/mathlib-000836-0000-cec8fda94e40be03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "cec8fda94e40be03194504be674c6f48d80031035934579a97c30cec522de065"
+    },
+    {
+      "bytes": 67283,
+      "path": "data/dev/p28/mathlib-000836-0000-332ee8d4ca19b6b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "332ee8d4ca19b6b5bb169735ffe7a6b9c8c0f5142e9b722ab51172046af52045"
+    },
+    {
+      "bytes": 49000,
+      "path": "data/internal_test/p28/mathlib-000836-0000-7b72b6d354d4c61d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7b72b6d354d4c61d3ec12d7e1c47ebf7077c8504ef59f6c45e446d1f3139ef3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000837.json b/manifests/batches/mathlib/000837.json
index ffa30e99a4c402238035759cffc1be3d8df153da..351fd3095310c93ec41846d5304f504b5db6f579 100644
--- a/manifests/batches/mathlib/000837.json
+++ b/manifests/batches/mathlib/000837.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000837",
   "batch_fingerprint": "610e40d22d6ab33c08945cfbbe03b09b0a67eb0183dc894ea5750e1b1d254e06",
   "evidence": {
@@ -597,29 +596,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000837-0000-7d253771160a14b4.parquet",
-      "sha256": "7d253771160a14b40c46b68e49d00c21c732315b47a2d86e1f538fd745f68c7f",
-      "bytes": 90793,
-      "rows": 25,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000837-0000-73190a18bb727f31.parquet",
-      "sha256": "73190a18bb727f31b2621b4a5636622fb9cbe8cba1ef88c54d2898d776499f58",
-      "bytes": 39848,
-      "rows": 2,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000837-0000-66ccec5885ce052b.parquet",
-      "sha256": "66ccec5885ce052b1cc4cf15e2018356e6f4fd09013a3204a6d8506682f861c9",
-      "bytes": 48204,
-      "rows": 3,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.ComponentCompl.disjoint_right",
     "mathlib:SimpleGraph.ComponentCompl.hom_refl",
@@ -647,5 +624,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Ends/Defs.lean\",null,null,\"SimpleGraph.end_hom_mk_of_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Ends/Defs.lean\",null,null,\"SimpleGraph.infinite_iff_in_eventualRange\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Ends/Properties.lean\",null,null,\"SimpleGraph.end_componentCompl_infinite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90793,
+      "path": "data/train/pac/mathlib-000837-0000-7d253771160a14b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7d253771160a14b40c46b68e49d00c21c732315b47a2d86e1f538fd745f68c7f"
+    },
+    {
+      "bytes": 39848,
+      "path": "data/dev/pac/mathlib-000837-0000-73190a18bb727f31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "73190a18bb727f31b2621b4a5636622fb9cbe8cba1ef88c54d2898d776499f58"
+    },
+    {
+      "bytes": 48204,
+      "path": "data/internal_test/pac/mathlib-000837-0000-66ccec5885ce052b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "66ccec5885ce052b1cc4cf15e2018356e6f4fd09013a3204a6d8506682f861c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000838.json b/manifests/batches/mathlib/000838.json
index bbc89b6b9737aa458e2a87de326500f934ef4a13..f4e938ed4a10ad672f4aabe5baa0f9f9a4a330dd 100644
--- a/manifests/batches/mathlib/000838.json
+++ b/manifests/batches/mathlib/000838.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000838",
   "batch_fingerprint": "1d3dbe20ec41849252b576c63d17ec0320719993f06806bbcf11863a5aefcf5a",
   "evidence": {
@@ -1158,22 +1157,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000838-0000-cf8a9f94b4a76739.parquet",
-      "sha256": "cf8a9f94b4a7673934ecb7991df7c43eb931e1fb1473f8ab5b20208c8ed54b92",
-      "bytes": 148644,
-      "rows": 52,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000838-0000-6a82a7d00131cefa.parquet",
-      "sha256": "6a82a7d00131cefac23c7ed43e3116049e6ba03fdba79397c3d3bdf9604e57cd",
-      "bytes": 56603,
-      "rows": 3,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.IsRegularOfDegree.compl",
     "mathlib:SimpleGraph.IsRegularOfDegree.top",
@@ -1237,5 +1221,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Finite.lean\",null,null,\"SimpleGraph.not_mem_neighborFinset_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Finsubgraph.lean\",null,null,\"SimpleGraph.singletonFinsubgraph_le_adj_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Finsubgraph.lean\",null,null,\"SimpleGraph.singletonFinsubgraph_le_adj_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148644,
+      "path": "data/train/pdc/mathlib-000838-0000-cf8a9f94b4a76739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "cf8a9f94b4a7673934ecb7991df7c43eb931e1fb1473f8ab5b20208c8ed54b92"
+    },
+    {
+      "bytes": 56603,
+      "path": "data/dev/pdc/mathlib-000838-0000-6a82a7d00131cefa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6a82a7d00131cefac23c7ed43e3116049e6ba03fdba79397c3d3bdf9604e57cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000839.json b/manifests/batches/mathlib/000839.json
index 075f30f0a2938c8e67ad51896702feac5fde3da1..6926da034af45e23910d0cf6d82658d7e458227d 100644
--- a/manifests/batches/mathlib/000839.json
+++ b/manifests/batches/mathlib/000839.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000839",
   "batch_fingerprint": "cdd6fc14cf8629dc67b4c567f7bfbab549e1e85dfcce04dc530ca3fdb3ef68d6",
   "evidence": {
@@ -516,22 +515,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000839-0000-05c331ed2df9a1e8.parquet",
-      "sha256": "05c331ed2df9a1e80fd1b2fea3aed96735b7376776c8203c2c18db86ec3180bc",
-      "bytes": 59719,
-      "rows": 9,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000839-0000-9c6fa3e4d8cb80a8.parquet",
-      "sha256": "9c6fa3e4d8cb80a8a7230873b7762fabb916e6e8fa46c4a7d6bea91ecf027e11",
-      "bytes": 46199,
-      "rows": 5,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Walk.IsHamiltonian.length_eq",
     "mathlib:SimpleGraph.Walk.IsHamiltonian.map",
@@ -559,5 +543,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean\",null,null,\"SimpleGraph.Walk.IsHamiltonianCycle.length_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean\",null,null,\"SimpleGraph.Walk.IsHamiltonianCycle.support_count_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean\",null,null,\"SimpleGraph.Walk.isHamiltonianCycle_iff_isCycle_and_support_count_tail_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59719,
+      "path": "data/train/pd2/mathlib-000839-0000-05c331ed2df9a1e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "05c331ed2df9a1e80fd1b2fea3aed96735b7376776c8203c2c18db86ec3180bc"
+    },
+    {
+      "bytes": 46199,
+      "path": "data/internal_test/pd2/mathlib-000839-0000-9c6fa3e4d8cb80a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9c6fa3e4d8cb80a8a7230873b7762fabb916e6e8fa46c4a7d6bea91ecf027e11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000840.json b/manifests/batches/mathlib/000840.json
index 58a2eaae6d3ca760ff27d36c1f30cdd8e3582255..843a09f54363e2d2ac58b07d9502edc55a70fbf9 100644
--- a/manifests/batches/mathlib/000840.json
+++ b/manifests/batches/mathlib/000840.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000840",
   "batch_fingerprint": "feb5b71a2a5d9cac7b45bb15615b329b71517d67bcf517886c7fbe4729c345f0",
   "evidence": {
@@ -798,29 +797,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000840-0000-47ce30029cb45d46.parquet",
-      "sha256": "47ce30029cb45d46f017993f7edf24993b113e8224d505e3e29c5aff28546c11",
-      "bytes": 55585,
-      "rows": 12,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000840-0000-0a2d290156908d70.parquet",
-      "sha256": "0a2d290156908d70c3b23a13517e353a871eb15ac07df86bf02da05f109800e7",
-      "bytes": 48046,
-      "rows": 2,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000840-0000-e4705cbe860586c1.parquet",
-      "sha256": "e4705cbe860586c1d5f5358fe89ec0ae4c6c7c3e96cee9b6a84f3e5b590badb1",
-      "bytes": 46205,
-      "rows": 4,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.hasse_preconnected_of_pred",
     "mathlib:SimpleGraph.hasse_preconnected_of_succ",
@@ -844,5 +821,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean\",null,null,\"SimpleGraph.incMatrix_apply_mul_incMatrix_apply_of_not_adj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean\",null,null,\"SimpleGraph.incMatrix_of_mem_incidenceSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean\",null,null,\"SimpleGraph.incMatrix_of_not_mem_incidenceSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55585,
+      "path": "data/train/p5b/mathlib-000840-0000-47ce30029cb45d46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "47ce30029cb45d46f017993f7edf24993b113e8224d505e3e29c5aff28546c11"
+    },
+    {
+      "bytes": 48046,
+      "path": "data/dev/p5b/mathlib-000840-0000-0a2d290156908d70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0a2d290156908d70c3b23a13517e353a871eb15ac07df86bf02da05f109800e7"
+    },
+    {
+      "bytes": 46205,
+      "path": "data/internal_test/p5b/mathlib-000840-0000-e4705cbe860586c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e4705cbe860586c1d5f5358fe89ec0ae4c6c7c3e96cee9b6a84f3e5b590badb1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000841.json b/manifests/batches/mathlib/000841.json
index fd9d74384cce7b6e6636a2238108b983ee8e3dde..5692f29345ca5c1167bd2ff28c6ca5ce73776fd3 100644
--- a/manifests/batches/mathlib/000841.json
+++ b/manifests/batches/mathlib/000841.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000841",
   "batch_fingerprint": "bfd8feb465004341d64751939ed0a1c98087a1a10c504eac371e6014a54f95f0",
   "evidence": {
@@ -1419,22 +1418,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000841-0000-8fd3010935c24c3b.parquet",
-      "sha256": "8fd3010935c24c3b5e57580b71f69adce31b63b425497c2bb17d088e79114f9f",
-      "bytes": 243747,
-      "rows": 46,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000841-0000-ebae27bcd802217f.parquet",
-      "sha256": "ebae27bcd802217fb4dc039dc76198ce9691cc9dd95c9a0df029b1f7f153067f",
-      "bytes": 70034,
-      "rows": 7,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.simpleGraph_refl",
     "mathlib:SimpleGraph.Hom.injective_of_top_hom",
@@ -1494,5 +1478,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Maps.lean\",null,null,\"SimpleGraph.map_le_of_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Maps.lean\",null,null,\"SimpleGraph.map_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Maps.lean\",null,null,\"SimpleGraph.map_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243747,
+      "path": "data/train/pfc/mathlib-000841-0000-8fd3010935c24c3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "8fd3010935c24c3b5e57580b71f69adce31b63b425497c2bb17d088e79114f9f"
+    },
+    {
+      "bytes": 70034,
+      "path": "data/internal_test/pfc/mathlib-000841-0000-ebae27bcd802217f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ebae27bcd802217fb4dc039dc76198ce9691cc9dd95c9a0df029b1f7f153067f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000842.json b/manifests/batches/mathlib/000842.json
index 6ccc0c87767b410d8bc0bb020dee3b44566122ab..4a1afa74e62b1ec200a8e8b848ba3886f0fd9453 100644
--- a/manifests/batches/mathlib/000842.json
+++ b/manifests/batches/mathlib/000842.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000842",
   "batch_fingerprint": "45d2d3b5be26486dd05625418558353894101ebdd6bcd88c598fab943738f969",
   "evidence": {
@@ -531,29 +530,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000842-0000-b6bf4fb79b538bfe.parquet",
-      "sha256": "b6bf4fb79b538bfe83f6db5cbd4e14ca52f1ebd0b5296e514a848b5b6045b2ed",
-      "bytes": 68489,
-      "rows": 23,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000842-0000-53859af47b96dd5c.parquet",
-      "sha256": "53859af47b96dd5c03c289a1d948e5e98d7906f0fcdf8004dfb46170eb705dd8",
-      "bytes": 30906,
-      "rows": 4,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000842-0000-b89c470872cb17ef.parquet",
-      "sha256": "b89c470872cb17ef514eb373c983cd4053b3f0feeaf09cf49a5a23df5b3bc16b",
-      "bytes": 48676,
-      "rows": 8,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Connected.dist_eq_zero_iff",
     "mathlib:SimpleGraph.Connected.dist_triangle",
@@ -595,5 +572,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Metric.lean\",null,null,\"SimpleGraph.dist_ne_zero_iff_ne_and_reachable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Metric.lean\",null,null,\"SimpleGraph.dist_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Metric.lean\",null,null,\"SimpleGraph.nonempty_of_pos_dist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68489,
+      "path": "data/train/p8b/mathlib-000842-0000-b6bf4fb79b538bfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b6bf4fb79b538bfe83f6db5cbd4e14ca52f1ebd0b5296e514a848b5b6045b2ed"
+    },
+    {
+      "bytes": 30906,
+      "path": "data/dev/p8b/mathlib-000842-0000-53859af47b96dd5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "53859af47b96dd5c03c289a1d948e5e98d7906f0fcdf8004dfb46170eb705dd8"
+    },
+    {
+      "bytes": 48676,
+      "path": "data/internal_test/p8b/mathlib-000842-0000-b89c470872cb17ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b89c470872cb17ef514eb373c983cd4053b3f0feeaf09cf49a5a23df5b3bc16b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000843.json b/manifests/batches/mathlib/000843.json
index d6b13cbae17f0d98d2ed8e42410ba17c6605ce63..d802b0e8e22a116c066a7443e09e423f588a73ba 100644
--- a/manifests/batches/mathlib/000843.json
+++ b/manifests/batches/mathlib/000843.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000843",
   "batch_fingerprint": "c58bf8dc3439a377dd5d2a157b4f55f66c1a6f5771337f35e4c2180b7bb1802b",
   "evidence": {
@@ -767,22 +766,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000843-0000-5118d72d052e8bfa.parquet",
-      "sha256": "5118d72d052e8bfaac804940c6428fddfbf3f183dcdd49968f3b3328c594cafe",
-      "bytes": 85378,
-      "rows": 25,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000843-0000-821dd10026d66e67.parquet",
-      "sha256": "821dd10026d66e6709d938e85ec7432a008624be423304e9a1e2a31f5b58721e",
-      "bytes": 48304,
-      "rows": 4,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Iso.card_edgeFinset_eq",
     "mathlib:SimpleGraph.Partition.mem_partOfVertex",
@@ -818,5 +802,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Partition.lean\",null,null,\"SimpleGraph.Partition.mem_partOfVertex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Partition.lean\",null,null,\"SimpleGraph.Partition.partOfVertex_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Partition.lean\",null,null,\"SimpleGraph.Partition.partOfVertex_ne_of_adj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85378,
+      "path": "data/train/pf1/mathlib-000843-0000-5118d72d052e8bfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5118d72d052e8bfaac804940c6428fddfbf3f183dcdd49968f3b3328c594cafe"
+    },
+    {
+      "bytes": 48304,
+      "path": "data/dev/pf1/mathlib-000843-0000-821dd10026d66e67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "821dd10026d66e6709d938e85ec7432a008624be423304e9a1e2a31f5b58721e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000844.json b/manifests/batches/mathlib/000844.json
index a8cb0eaba62f600467aaa3d6c91c7d8a6b823598..b9cc975d3c126e85e6ff9aeb49c3f2bc5c903c47 100644
--- a/manifests/batches/mathlib/000844.json
+++ b/manifests/batches/mathlib/000844.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000844",
   "batch_fingerprint": "bae36d1eed2d8430eb37a67e8a35ef82092e7ce5382ec5cde509c65bc05aeee9",
   "evidence": {
@@ -1057,22 +1056,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000844-0000-ee6391449232791f.parquet",
-      "sha256": "ee6391449232791ff7a73068f14ea98a7ace6945da1b3c074aeeff1f9718d8ca",
-      "bytes": 82072,
-      "rows": 25,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000844-0000-0de6d2df4a0cb674.parquet",
-      "sha256": "0de6d2df4a0cb6748a31b6b68112f7e59eac63d6e12fdb088b639f0bb3995729",
-      "bytes": 61926,
-      "rows": 11,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.Connected.boxProd",
     "mathlib:SimpleGraph.Connected.ofBoxProdLeft",
@@ -1114,5 +1098,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean\",null,null,\"SzemerediRegularity.pow_mul_m_le_card_part\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean\",null,null,\"SzemerediRegularity.stepBound_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean\",null,null,\"SzemerediRegularity.stepBound_pos_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82072,
+      "path": "data/train/pb5/mathlib-000844-0000-ee6391449232791f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ee6391449232791ff7a73068f14ea98a7ace6945da1b3c074aeeff1f9718d8ca"
+    },
+    {
+      "bytes": 61926,
+      "path": "data/internal_test/pb5/mathlib-000844-0000-0de6d2df4a0cb674.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0de6d2df4a0cb6748a31b6b68112f7e59eac63d6e12fdb088b639f0bb3995729"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000845.json b/manifests/batches/mathlib/000845.json
index 7ee481e6f673733898b56bfebc2010f3dedf3ad3..da8e10343ed4a7e8ca502bb663839f162bc0bf8e 100644
--- a/manifests/batches/mathlib/000845.json
+++ b/manifests/batches/mathlib/000845.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000845",
   "batch_fingerprint": "9a4485d8843226ee7e5fae63143c22ff11c69d6d92423a368ea73c611f12695a",
   "evidence": {
@@ -2900,22 +2899,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000845-0000-ae10e6fb6cee24b1.parquet",
-      "sha256": "ae10e6fb6cee24b1da91ad489c4d8cd0ac7af9b249f098975c3727fe37b9ca13",
-      "bytes": 66429,
-      "rows": 6,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000845-0000-74267f40d3d76c9e.parquet",
-      "sha256": "74267f40d3d76c9e97e4b1705db6c916e10e04cc0fc6afa8228fc61e51d1d6c7",
-      "bytes": 49388,
-      "rows": 5,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finpartition.coe_energy",
     "mathlib:Finpartition.energy_le_one",
@@ -2931,5 +2915,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Energy.lean\",null,null,\"Finpartition.coe_energy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Energy.lean\",null,null,\"Finpartition.energy_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Energy.lean\",null,null,\"Finpartition.energy_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66429,
+      "path": "data/train/paa/mathlib-000845-0000-ae10e6fb6cee24b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ae10e6fb6cee24b1da91ad489c4d8cd0ac7af9b249f098975c3727fe37b9ca13"
+    },
+    {
+      "bytes": 49388,
+      "path": "data/internal_test/paa/mathlib-000845-0000-74267f40d3d76c9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "74267f40d3d76c9e97e4b1705db6c916e10e04cc0fc6afa8228fc61e51d1d6c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000846.json b/manifests/batches/mathlib/000846.json
index 8a8864580e095533e16191672563b53946fab4cc..a3f4a8fc3dc2f5f3ed781099a6ac363ac4cf252a 100644
--- a/manifests/batches/mathlib/000846.json
+++ b/manifests/batches/mathlib/000846.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000846",
   "batch_fingerprint": "fcc42aec2ffd70d1b6f8015e303d1c7c1463e40c10eec8d8380add6aeca8f4d3",
   "evidence": {
@@ -1410,15 +1409,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000846-0000-e8210168d8b4e9c5.parquet",
-      "sha256": "e8210168d8b4e9c530739d1915764bea99acd534950a0383aad9be28800ad801",
-      "bytes": 91598,
-      "rows": 19,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finpartition.card_parts_equitabilise",
     "mathlib:SzemerediRegularity.distinctPairs_increment",
@@ -1430,5 +1421,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Increment.lean\",null,null,\"SzemerediRegularity.distinctPairs_increment\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Increment.lean\",null,null,\"SzemerediRegularity.increment_isEquipartition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Increment.lean\",null,null,\"SzemerediRegularity.pairwiseDisjoint_distinctPairs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91598,
+      "path": "data/train/p6a/mathlib-000846-0000-e8210168d8b4e9c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e8210168d8b4e9c530739d1915764bea99acd534950a0383aad9be28800ad801"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000847.json b/manifests/batches/mathlib/000847.json
index 9cbbb8c2ddf7a98167cb879b92ac88855d3dc1a2..41dcdf1bac23808b463ce981491d44f209ec9f33 100644
--- a/manifests/batches/mathlib/000847.json
+++ b/manifests/batches/mathlib/000847.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000847",
   "batch_fingerprint": "3b203ddce13d0dc28bd064745fb0da9584eb0230fc8bee836d00c31c8ba0594f",
   "evidence": {
@@ -2020,29 +2019,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000847-0000-f0041d04b2af47e4.parquet",
-      "sha256": "f0041d04b2af47e4041a486fd584710e371ef3cfd63ac7e440809d3de76b4d10",
-      "bytes": 95797,
-      "rows": 29,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/mathlib-000847-0000-d0d18b93c17504b8.parquet",
-      "sha256": "d0d18b93c17504b8c71b92869c2fd3c90635210078f8961a0fa77ff59c13d2b0",
-      "bytes": 35905,
-      "rows": 1,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/mathlib-000847-0000-852d5c75c3105c91.parquet",
-      "sha256": "852d5c75c3105c915f0ea980d2fe33022bd7fa33263795d9dc82c6502a1fc294",
-      "bytes": 66522,
-      "rows": 4,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finpartition.IsUniform.mono",
     "mathlib:Finpartition.bot_isUniform",
@@ -2078,5 +2055,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean\",null,null,\"SimpleGraph.not_isUniform_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean\",null,null,\"SimpleGraph.right_nonuniformWitnesses_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean\",null,null,\"SimpleGraph.right_nonuniformWitnesses_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95797,
+      "path": "data/train/p60/mathlib-000847-0000-f0041d04b2af47e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f0041d04b2af47e4041a486fd584710e371ef3cfd63ac7e440809d3de76b4d10"
+    },
+    {
+      "bytes": 35905,
+      "path": "data/dev/p60/mathlib-000847-0000-d0d18b93c17504b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d0d18b93c17504b8c71b92869c2fd3c90635210078f8961a0fa77ff59c13d2b0"
+    },
+    {
+      "bytes": 66522,
+      "path": "data/internal_test/p60/mathlib-000847-0000-852d5c75c3105c91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "852d5c75c3105c915f0ea980d2fe33022bd7fa33263795d9dc82c6502a1fc294"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000848.json b/manifests/batches/mathlib/000848.json
index b215ccb313ac7f89b713bedca353ffe2d3c714a3..a98e959189f41a97d6e54f75181773fa9c74e4e7 100644
--- a/manifests/batches/mathlib/000848.json
+++ b/manifests/batches/mathlib/000848.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000848",
   "batch_fingerprint": "97e3648dbcd4c3b239b5186ab0ab750a556ca574b93b694a4a6d9a2771bf7726",
   "evidence": {
@@ -3673,29 +3672,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000848-0000-8a1949ba631547c2.parquet",
-      "sha256": "8a1949ba631547c2700ef44b6766a8d99899e987b5bac4b59259eaf7155a8dd2",
-      "bytes": 237856,
-      "rows": 84,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000848-0000-14504ccf1bb888b2.parquet",
-      "sha256": "14504ccf1bb888b2a6fa0057a183734f7a4a3831d3955882c8b7513dfe2de4a4",
-      "bytes": 39129,
-      "rows": 3,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000848-0000-cbdc2c83fdef0bb3.parquet",
-      "sha256": "cbdc2c83fdef0bb34bed6b7480629fb9a9fe1804d3aa4a31591f9e5432c170aa",
-      "bytes": 51865,
-      "rows": 9,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Disjoint.edgeSet",
     "mathlib:SimpleGraph.IsSRGWith.card_commonNeighbors_eq_of_not_adj_compl",
@@ -3819,5 +3796,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Subgraph.lean\",null,null,\"SimpleGraph.singletonSubgraph_fst_le_subgraphOfAdj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Subgraph.lean\",null,null,\"SimpleGraph.singletonSubgraph_snd_le_subgraphOfAdj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Subgraph.lean\",null,null,\"SimpleGraph.subgraphOfAdj_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237856,
+      "path": "data/train/p44/mathlib-000848-0000-8a1949ba631547c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "8a1949ba631547c2700ef44b6766a8d99899e987b5bac4b59259eaf7155a8dd2"
+    },
+    {
+      "bytes": 39129,
+      "path": "data/dev/p44/mathlib-000848-0000-14504ccf1bb888b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "14504ccf1bb888b2a6fa0057a183734f7a4a3831d3955882c8b7513dfe2de4a4"
+    },
+    {
+      "bytes": 51865,
+      "path": "data/internal_test/p44/mathlib-000848-0000-cbdc2c83fdef0bb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cbdc2c83fdef0bb34bed6b7480629fb9a9fe1804d3aa4a31591f9e5432c170aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000849.json b/manifests/batches/mathlib/000849.json
index 3451a41a66a8ae7ec847de5b1803249afa5aae60..37fe9cabd34ecd46f93aca50372545f8fe4891ef 100644
--- a/manifests/batches/mathlib/000849.json
+++ b/manifests/batches/mathlib/000849.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000849",
   "batch_fingerprint": "3927cfa8c4466fcca7b0d8163bcb29adc041f0491eba17bd01d8afbe639d8190",
   "evidence": {
@@ -1856,29 +1855,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000849-0000-69ea218a41120897.parquet",
-      "sha256": "69ea218a41120897358459b9f105672dc054d3e4f0fae510cf27181b6035f1d7",
-      "bytes": 111830,
-      "rows": 26,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000849-0000-3eca97595d741fa3.parquet",
-      "sha256": "3eca97595d741fa31f7a587d497247502402da52c74299dbf75203ba28eb5d54",
-      "bytes": 36159,
-      "rows": 2,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000849-0000-55be2c81419e79d7.parquet",
-      "sha256": "55be2c81419e79d7822355c7364764559027bca623897f76b6798934637e0c99",
-      "bytes": 41616,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.EdgeDisjointTriangles.farFromTriangleFree",
     "mathlib:SimpleGraph.FarFromTriangleFree.mono",
@@ -1904,5 +1881,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean\",null,null,\"SimpleGraph.edgeDisjointTriangles_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean\",null,null,\"SimpleGraph.farFromTriangleFree_of_disjoint_triangles\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean\",null,null,\"SimpleGraph.locallyLinear_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111830,
+      "path": "data/train/pb6/mathlib-000849-0000-69ea218a41120897.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "69ea218a41120897358459b9f105672dc054d3e4f0fae510cf27181b6035f1d7"
+    },
+    {
+      "bytes": 36159,
+      "path": "data/dev/pb6/mathlib-000849-0000-3eca97595d741fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3eca97595d741fa31f7a587d497247502402da52c74299dbf75203ba28eb5d54"
+    },
+    {
+      "bytes": 41616,
+      "path": "data/internal_test/pb6/mathlib-000849-0000-55be2c81419e79d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "55be2c81419e79d7822355c7364764559027bca623897f76b6798934637e0c99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000850.json b/manifests/batches/mathlib/000850.json
index 97751e1d2b69a03276157638a16babb9d7de86b6..cbc1f4344faeb3c51722351d9e09e356bee8cd02 100644
--- a/manifests/batches/mathlib/000850.json
+++ b/manifests/batches/mathlib/000850.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000850",
   "batch_fingerprint": "f87016170284e13290ea0b8d4b1f096974bd6ac7121775c6f3dd1d38f2f72c38",
   "evidence": {
@@ -1648,39 +1647,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:SimpleGraph.aux",
+    "mathlib:SimpleGraph.triangleRemovalBound_nonpos",
+    "mathlib:SimpleGraph.triangle_removal",
+    "mathlib:SimpleGraph.triangle_split_helper"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Counting.lean\",null,null,\"SimpleGraph.triangle_split_helper\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.aux\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.triangleRemovalBound_nonpos\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.triangle_removal\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000850-0000-fdc70bff2a7438ce.parquet",
-      "sha256": "fdc70bff2a7438cee8f0428ed692699d12443f89d804aa63881cfc42159c9146",
       "bytes": 78223,
+      "path": "data/train/pa1/mathlib-000850-0000-fdc70bff2a7438ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
+      "sha256": "fdc70bff2a7438cee8f0428ed692699d12443f89d804aa63881cfc42159c9146"
     },
     {
-      "path": "data/dev/mathlib-000850-0000-9852cced41d7a276.parquet",
-      "sha256": "9852cced41d7a27662abf681867005398796736e4ffe86af5d793ad2e6629329",
       "bytes": 48603,
+      "path": "data/dev/pa1/mathlib-000850-0000-9852cced41d7a276.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
+      "sha256": "9852cced41d7a27662abf681867005398796736e4ffe86af5d793ad2e6629329"
     },
     {
-      "path": "data/internal_test/mathlib-000850-0000-0af54fbf099df912.parquet",
-      "sha256": "0af54fbf099df9128a810c4e5084247b23b718dcf5dfcca91b1f86fe3657ac84",
       "bytes": 56353,
+      "path": "data/internal_test/pa1/mathlib-000850-0000-0af54fbf099df912.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
+      "sha256": "0af54fbf099df9128a810c4e5084247b23b718dcf5dfcca91b1f86fe3657ac84"
     }
-  ],
-  "proof_ids": [
-    "mathlib:SimpleGraph.aux",
-    "mathlib:SimpleGraph.triangleRemovalBound_nonpos",
-    "mathlib:SimpleGraph.triangle_removal",
-    "mathlib:SimpleGraph.triangle_split_helper"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Counting.lean\",null,null,\"SimpleGraph.triangle_split_helper\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.aux\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.triangleRemovalBound_nonpos\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean\",null,null,\"SimpleGraph.triangle_removal\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000851.json b/manifests/batches/mathlib/000851.json
index f0f369fb66b385baf814173997ddfd2a2619928e..39d1eb1de0b8de1923ccd29207d2740009dc13c7 100644
--- a/manifests/batches/mathlib/000851.json
+++ b/manifests/batches/mathlib/000851.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000851",
   "batch_fingerprint": "875310e379f33d21f4acae107a7699dda97a26646c8b667976f9e033d66cfd4a",
   "evidence": {
@@ -2809,15 +2808,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000851-0000-f51effd4cbcece8c.parquet",
-      "sha256": "f51effd4cbcece8c879de84e1d8a06b5ada6b72fe422c4685bc5716f6f5ecf6b",
-      "bytes": 101668,
-      "rows": 32,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SimpleGraph.IsTuranMaximal.not_adj_iff_part_eq",
     "mathlib:SimpleGraph.TripartiteFromTriangles.Graph.in\u2080\u2081_iff",
@@ -2851,5 +2842,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Turan.lean\",null,null,\"SimpleGraph.IsTuranMaximal.not_adj_iff_part_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Turan.lean\",null,null,\"SimpleGraph.isTuranMaximal_of_iso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/SimpleGraph/Turan.lean\",null,null,\"SimpleGraph.turanGraph_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101668,
+      "path": "data/train/p95/mathlib-000851-0000-f51effd4cbcece8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f51effd4cbcece8c879de84e1d8a06b5ada6b72fe422c4685bc5716f6f5ecf6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000852.json b/manifests/batches/mathlib/000852.json
index 30f7eaad63986303a89d757683f2784173b773ed..fb89b3f62362544ba3c740203c0c2f546b20657c 100644
--- a/manifests/batches/mathlib/000852.json
+++ b/manifests/batches/mathlib/000852.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000852",
   "batch_fingerprint": "00279ad5ded5c5d2181e5bc19c2de1295cc5c7d3b6edfbeb630808b597931c5a",
   "evidence": {
@@ -1019,29 +1018,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000852-0000-2f3d3dc4d0b94de5.parquet",
-      "sha256": "2f3d3dc4d0b94de5461576de92effe750a2a6090f3a2ddc0ad9cc0fce909c71c",
-      "bytes": 105769,
-      "rows": 39,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000852-0000-ccc8c5add5fdb078.parquet",
-      "sha256": "ccc8c5add5fdb07897acb074a9f061c7bb3c3ac50ab55826b243cd582fcd41da",
-      "bytes": 39836,
-      "rows": 3,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000852-0000-fbb3195a8cbecf0a.parquet",
-      "sha256": "fbb3195a8cbecf0ada001350614fe37004b36c1f896514c0a905234d35d1703b",
-      "bytes": 42394,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemistandardYoungTableau.ext",
     "mathlib:YoungDiagram.colLen_anti",
@@ -1093,5 +1070,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Young/YoungDiagram.lean\",null,null,\"YoungDiagram.transpose_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Young/YoungDiagram.lean\",null,null,\"YoungDiagram.transpose_eq_iff_eq_transpose\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Combinatorics/Young/YoungDiagram.lean\",null,null,\"YoungDiagram.transpose_transpose\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105769,
+      "path": "data/train/p54/mathlib-000852-0000-2f3d3dc4d0b94de5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "2f3d3dc4d0b94de5461576de92effe750a2a6090f3a2ddc0ad9cc0fce909c71c"
+    },
+    {
+      "bytes": 39836,
+      "path": "data/dev/p54/mathlib-000852-0000-ccc8c5add5fdb078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ccc8c5add5fdb07897acb074a9f061c7bb3c3ac50ab55826b243cd582fcd41da"
+    },
+    {
+      "bytes": 42394,
+      "path": "data/internal_test/p54/mathlib-000852-0000-fbb3195a8cbecf0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fbb3195a8cbecf0ada001350614fe37004b36c1f896514c0a905234d35d1703b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000853.json b/manifests/batches/mathlib/000853.json
index 9d7d7da6f87624843f86e7761ca13df298c39d32..d14284d5752f5fdb117b59e352d97291a9105e19 100644
--- a/manifests/batches/mathlib/000853.json
+++ b/manifests/batches/mathlib/000853.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000853",
   "batch_fingerprint": "1c962842fb542d53116cd73b16ba195e4061a14949758577bea3a6b6e0d37c7d",
   "evidence": {
@@ -10232,22 +10231,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000853-0000-89d359f2a5d7dd86.parquet",
-      "sha256": "89d359f2a5d7dd8657dd13c3c37d84b1608b8d4fa49120526d0a9ab73416b990",
-      "bytes": 158482,
-      "rows": 54,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/internal_test/mathlib-000853-0000-de7f8ef11d2b9ab5.parquet",
-      "sha256": "de7f8ef11d2b9ab59d9af170f09cd95e14507302f3d32c3d4d82168616288c7a",
-      "bytes": 40872,
-      "rows": 3,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AkraBazziRecurrence.asympBound_def'",
     "mathlib:AkraBazziRecurrence.bi_min_div_two_pos",
@@ -10301,5 +10285,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/AkraBazzi/AkraBazzi.lean\",null,null,\"AkraBazziRecurrence.strictAnti_sumCoeffsExp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/AkraBazzi/AkraBazzi.lean\",null,null,\"AkraBazziRecurrence.strictMonoOn_one_sub_smoothingFn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/AkraBazzi/AkraBazzi.lean\",null,null,\"AkraBazziRecurrence.tendsto_atTop_r\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158482,
+      "path": "data/train/p61/mathlib-000853-0000-89d359f2a5d7dd86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "89d359f2a5d7dd8657dd13c3c37d84b1608b8d4fa49120526d0a9ab73416b990"
+    },
+    {
+      "bytes": 40872,
+      "path": "data/internal_test/p61/mathlib-000853-0000-de7f8ef11d2b9ab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "de7f8ef11d2b9ab59d9af170f09cd95e14507302f3d32c3d4d82168616288c7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000854.json b/manifests/batches/mathlib/000854.json
index ba23f46d21afa149d50d9b373f5350201e3c2084..4fff623a4ebb21f335ba517beb98458a5389ee7e 100644
--- a/manifests/batches/mathlib/000854.json
+++ b/manifests/batches/mathlib/000854.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000854",
   "batch_fingerprint": "784cff81c0a1acda2f97e9de302d7543fae99b2023818789c03797f9f3516b6b",
   "evidence": {
@@ -4914,22 +4913,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000854-0000-7257d12570eb758e.parquet",
-      "sha256": "7257d12570eb758e8c1213c026984699644c078bb76431ed80e7e24b23e56029",
-      "bytes": 143296,
-      "rows": 46,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000854-0000-20b1837de0f3f971.parquet",
-      "sha256": "20b1837de0f3f971d77b5870a0dba714b6eed7bb00acf8b7e4f0e5afeb5e4be0",
-      "bytes": 58435,
-      "rows": 10,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AkraBazziRecurrence.GrowsPolynomially.congr_of_eventuallyEq",
     "mathlib:AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_ge",
@@ -4969,5 +4953,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/ContextFreeGrammar.lean\",null,null,\"ContextFreeRule.Rewrites.append_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/ContextFreeGrammar.lean\",null,null,\"ContextFreeRule.reverse_involutive\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/ContextFreeGrammar.lean\",null,null,\"ContextFreeRule.rewrites_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143296,
+      "path": "data/train/p60/mathlib-000854-0000-7257d12570eb758e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "7257d12570eb758e8c1213c026984699644c078bb76431ed80e7e24b23e56029"
+    },
+    {
+      "bytes": 58435,
+      "path": "data/internal_test/p60/mathlib-000854-0000-20b1837de0f3f971.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "20b1837de0f3f971d77b5870a0dba714b6eed7bb00acf8b7e4f0e5afeb5e4be0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000855.json b/manifests/batches/mathlib/000855.json
index ce6ac3d1b8d90fba3ca9c0970d908737167da690..d43082234e850b1e21663445efab87a8c99c6028 100644
--- a/manifests/batches/mathlib/000855.json
+++ b/manifests/batches/mathlib/000855.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000855",
   "batch_fingerprint": "114f01bd401fba050ef1a0b558458da51e34111b153e43774b2b352be61d51aa",
   "evidence": {
@@ -833,22 +832,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000855-0000-e17c2cee724c3537.parquet",
-      "sha256": "e17c2cee724c353789b60aa29b3500ad0910b2a1a9584173a3fb2b068cafa5ee",
-      "bytes": 59132,
-      "rows": 6,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000855-0000-461e27e1673df8b0.parquet",
-      "sha256": "461e27e1673df8b0e93d31cef5153a3cdca729b2952d255f86652ad480c492ea",
-      "bytes": 24267,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Computability.Encoding.encode_injective",
     "mathlib:Computability.decode_encodeNat",
@@ -860,5 +844,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/DFA.lean\",null,null,\"DFA.mem_accepts\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Encoding.lean\",null,null,\"Computability.Encoding.encode_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Encoding.lean\",null,null,\"Computability.decode_encodeNat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59132,
+      "path": "data/train/p09/mathlib-000855-0000-e17c2cee724c3537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e17c2cee724c353789b60aa29b3500ad0910b2a1a9584173a3fb2b068cafa5ee"
+    },
+    {
+      "bytes": 24267,
+      "path": "data/dev/p09/mathlib-000855-0000-461e27e1673df8b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "461e27e1673df8b0e93d31cef5153a3cdca729b2952d255f86652ad480c492ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000856.json b/manifests/batches/mathlib/000856.json
index c3bebb37c47e63d0e293a4ca030af5a51be5cd87..e65c2750f5d12061a7e35cca9db185048a53da34 100644
--- a/manifests/batches/mathlib/000856.json
+++ b/manifests/batches/mathlib/000856.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000856",
   "batch_fingerprint": "ecb0ed19082a98221cbaa4f5c71e58d4b8093acbcafdacfae843a1f0078db562",
   "evidence": {
@@ -2291,29 +2290,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000856-0000-2f45a862756b1756.parquet",
-      "sha256": "2f45a862756b1756dc7ea02e3474b10f8a1e9b151a5c1d0bf81f86c50fe6bce8",
-      "bytes": 68967,
-      "rows": 19,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000856-0000-65a8daf8f7549ea4.parquet",
-      "sha256": "65a8daf8f7549ea4f87461e9b79500fd5ed2206d16f42d03153bf2bbd78b05b0",
-      "bytes": 42062,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000856-0000-0384c387ebf4b986.parquet",
-      "sha256": "0384c387ebf4b98668eee269ee3549d9602182c2dbefdc5eb6a317e046bfe9c6",
-      "bytes": 37164,
-      "rows": 2,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ComputablePred.to_re",
     "mathlib:NFA.to\u03b5NFA_correct",
@@ -2347,5 +2324,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Halting.lean\",null,null,\"Partrec.cond\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Halting.lean\",null,null,\"Partrec.dom_re\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Halting.lean\",null,null,\"Partrec.sum_casesOn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68967,
+      "path": "data/train/p58/mathlib-000856-0000-2f45a862756b1756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2f45a862756b1756dc7ea02e3474b10f8a1e9b151a5c1d0bf81f86c50fe6bce8"
+    },
+    {
+      "bytes": 42062,
+      "path": "data/dev/p58/mathlib-000856-0000-65a8daf8f7549ea4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "65a8daf8f7549ea4f87461e9b79500fd5ed2206d16f42d03153bf2bbd78b05b0"
+    },
+    {
+      "bytes": 37164,
+      "path": "data/internal_test/p58/mathlib-000856-0000-0384c387ebf4b986.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0384c387ebf4b98668eee269ee3549d9602182c2dbefdc5eb6a317e046bfe9c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000857.json b/manifests/batches/mathlib/000857.json
index cebb41717789f5772f381a8ca7c0155570d240d8..8bbb7d99693f9bd8ea18e9eb54adc141f14bf5fc 100644
--- a/manifests/batches/mathlib/000857.json
+++ b/manifests/batches/mathlib/000857.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000857",
   "batch_fingerprint": "f80ffeabb58a58be99ab64597bcd25a24de27b30fef015b9ae02fde20f0b7023",
   "evidence": {
@@ -1312,29 +1311,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000857-0000-dbd86b577012d172.parquet",
-      "sha256": "dbd86b577012d1728e2770ecd419bbf5e1010cf6f46b9c21dd97b4bca8f4ab7b",
-      "bytes": 61826,
-      "rows": 18,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000857-0000-0f1a786907aeec0d.parquet",
-      "sha256": "0f1a786907aeec0dece6a41fd9b060c634ab30d8874d3af05ab99f6f4d21bbac",
-      "bytes": 45729,
-      "rows": 4,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000857-0000-0e44f70fd65693df.parquet",
-      "sha256": "0e44f70fd65693df5a882103a4aac09afed354042dc05d2699d1492993e53947",
-      "bytes": 36165,
-      "rows": 2,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Language.kstar_def_nonempty",
     "mathlib:Language.le_mul_congr",
@@ -1374,5 +1351,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/NFA.lean\",null,null,\"NFA.mem_stepSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/NFA.lean\",null,null,\"NFA.pumping_lemma\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/NFA.lean\",null,null,\"NFA.stepSet_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61826,
+      "path": "data/train/p3a/mathlib-000857-0000-dbd86b577012d172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "dbd86b577012d1728e2770ecd419bbf5e1010cf6f46b9c21dd97b4bca8f4ab7b"
+    },
+    {
+      "bytes": 45729,
+      "path": "data/dev/p3a/mathlib-000857-0000-0f1a786907aeec0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0f1a786907aeec0dece6a41fd9b060c634ab30d8874d3af05ab99f6f4d21bbac"
+    },
+    {
+      "bytes": 36165,
+      "path": "data/internal_test/p3a/mathlib-000857-0000-0e44f70fd65693df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e44f70fd65693df5a882103a4aac09afed354042dc05d2699d1492993e53947"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000858.json b/manifests/batches/mathlib/000858.json
index f80b99bc5f46a77e577f8943017046067acdd6ad..a18cb91d82f1b86fa9317bf42b175120e812b448 100644
--- a/manifests/batches/mathlib/000858.json
+++ b/manifests/batches/mathlib/000858.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000858",
   "batch_fingerprint": "e2c14cd214115fcd82a8600f01ae8b2be3ac8d589b3931e9a93d069254ae1baa",
   "evidence": {
@@ -6281,29 +6280,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000858-0000-ebee32fd9c783bc6.parquet",
-      "sha256": "ebee32fd9c783bc67ee0328cf216ed6f99fd0932a7d76b7d9c8b36076ee6699b",
-      "bytes": 181272,
-      "rows": 53,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/mathlib-000858-0000-6ec2b2fa58f945fe.parquet",
-      "sha256": "6ec2b2fa58f945fe7f60ad60ececbac65c003d924aee1e64538bbb0b0b7c7565",
-      "bytes": 51219,
-      "rows": 5,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/mathlib-000858-0000-8580277b85af1e54.parquet",
-      "sha256": "8580277b85af1e54e11f3c7a5e7fb730ed8b51bbdf4457c352dfacf64b8f7f8a",
-      "bytes": 66161,
-      "rows": 9,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Computable.cond",
     "mathlib:Computable.map_decode_iff",
@@ -6383,5 +6360,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/PartrecCode.lean\",null,null,\"Nat.Partrec.Code.eval_prec_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/PartrecCode.lean\",null,null,\"Nat.Partrec.Code.fixed_point\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/PartrecCode.lean\",null,null,\"Nat.Partrec.rfind'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181272,
+      "path": "data/train/pd9/mathlib-000858-0000-ebee32fd9c783bc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "ebee32fd9c783bc67ee0328cf216ed6f99fd0932a7d76b7d9c8b36076ee6699b"
+    },
+    {
+      "bytes": 51219,
+      "path": "data/dev/pd9/mathlib-000858-0000-6ec2b2fa58f945fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6ec2b2fa58f945fe7f60ad60ececbac65c003d924aee1e64538bbb0b0b7c7565"
+    },
+    {
+      "bytes": 66161,
+      "path": "data/internal_test/pd9/mathlib-000858-0000-8580277b85af1e54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8580277b85af1e54e11f3c7a5e7fb730ed8b51bbdf4457c352dfacf64b8f7f8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000859.json b/manifests/batches/mathlib/000859.json
index 85febae73f7de0706cede2465241f5886b83358a..30c6cf0dec92ecedbf9d70925af4c3f13b7c287c 100644
--- a/manifests/batches/mathlib/000859.json
+++ b/manifests/batches/mathlib/000859.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000859",
   "batch_fingerprint": "827fc51894f4cacde2c167230886922c4778bb705bdc3c8c2c029e483d7d527e",
   "evidence": {
@@ -4735,29 +4734,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000859-0000-c4f8ce185f6d242c.parquet",
-      "sha256": "c4f8ce185f6d242ccca2426bed6a9dee33dd0e9ca6c4fccf7cd03d40f5ec2390",
-      "bytes": 402603,
-      "rows": 139,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/mathlib-000859-0000-e751e73851a292a4.parquet",
-      "sha256": "e751e73851a292a4541b101146fc1088fb2ae1baffce4e2c0633799412df9167",
-      "bytes": 74608,
-      "rows": 12,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000859-0000-e18171e8868545dc.parquet",
-      "sha256": "e18171e8868545dcddb9e05d598c64619b9c2e58a2f8220f1dabd11b9b90961d",
-      "bytes": 80464,
-      "rows": 22,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ManyOneDegree.add_le",
     "mathlib:ManyOneDegree.le_add_left",
@@ -4981,5 +4958,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Reduce.lean\",null,null,\"manyOneReducible_toNat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Reduce.lean\",null,null,\"oneOneReducible_refl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/Reduce.lean\",null,null,\"toNat_manyOneEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402603,
+      "path": "data/train/pfb/mathlib-000859-0000-c4f8ce185f6d242c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 139,
+      "sha256": "c4f8ce185f6d242ccca2426bed6a9dee33dd0e9ca6c4fccf7cd03d40f5ec2390"
+    },
+    {
+      "bytes": 74608,
+      "path": "data/dev/pfb/mathlib-000859-0000-e751e73851a292a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e751e73851a292a4541b101146fc1088fb2ae1baffce4e2c0633799412df9167"
+    },
+    {
+      "bytes": 80464,
+      "path": "data/internal_test/pfb/mathlib-000859-0000-e18171e8868545dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e18171e8868545dcddb9e05d598c64619b9c2e58a2f8220f1dabd11b9b90961d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000860.json b/manifests/batches/mathlib/000860.json
index 73d6c976f13ad79b7b0f1d3ea0fd27f8ea675fe4..7d820c91b78a6e300dd81a754f8b28b5a92f2e10 100644
--- a/manifests/batches/mathlib/000860.json
+++ b/manifests/batches/mathlib/000860.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000860",
   "batch_fingerprint": "138dbfb1c8afa41ea6f22516b2409e142f4f69fba09f24b2b35f24dc3cb6a98d",
   "evidence": {
@@ -8650,29 +8649,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000860-0000-16a0798697ae5178.parquet",
-      "sha256": "16a0798697ae51785ff4b54df8f0caad5164d4c492e80cca9ec489bf57d39bf6",
-      "bytes": 62910,
-      "rows": 28,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/mathlib-000860-0000-eee9a726b7f5049c.parquet",
-      "sha256": "eee9a726b7f5049cd718abf4e5d25d74bbbf55ad8626e6ed17826748e28ba5f4",
-      "bytes": 48686,
-      "rows": 8,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000860-0000-ad214ca7a997dbbc.parquet",
-      "sha256": "ad214ca7a997dbbc69fc3f08f4dd90ad11bce2080a38163832e497ab5a305f46",
-      "bytes": 54670,
-      "rows": 11,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RegularExpression.map_pow",
     "mathlib:RegularExpression.one_rmatch_iff",
@@ -8742,5 +8719,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TMToPartrec.lean\",null,null,\"Turing.ToPartrec.Code.tail_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TMToPartrec.lean\",null,null,\"Turing.ToPartrec.Code.zero'_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TMToPartrec.lean\",null,null,\"Turing.ToPartrec.Code.zero_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62910,
+      "path": "data/train/p59/mathlib-000860-0000-16a0798697ae5178.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "16a0798697ae51785ff4b54df8f0caad5164d4c492e80cca9ec489bf57d39bf6"
+    },
+    {
+      "bytes": 48686,
+      "path": "data/dev/p59/mathlib-000860-0000-eee9a726b7f5049c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eee9a726b7f5049cd718abf4e5d25d74bbbf55ad8626e6ed17826748e28ba5f4"
+    },
+    {
+      "bytes": 54670,
+      "path": "data/internal_test/p59/mathlib-000860-0000-ad214ca7a997dbbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ad214ca7a997dbbc69fc3f08f4dd90ad11bce2080a38163832e497ab5a305f46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000861.json b/manifests/batches/mathlib/000861.json
index d70d8d8bf24a47a6d01194bd9994a25916a3ee56..70011fed7edaeb1325d3c4b950d3e776436afef8 100644
--- a/manifests/batches/mathlib/000861.json
+++ b/manifests/batches/mathlib/000861.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000861",
   "batch_fingerprint": "114e1c66722f3a95e143f134a88995769dd40c681393c1d8926044e2d8f4e214",
   "evidence": {
@@ -6443,29 +6442,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000861-0000-bc93fdff106bee83.parquet",
-      "sha256": "bc93fdff106bee83169a5905c3e15d730536debe0f17f96d30e802ee7b97fabb",
-      "bytes": 367595,
-      "rows": 112,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/mathlib-000861-0000-4a8d4845a49d2026.parquet",
-      "sha256": "4a8d4845a49d202681a9489dba3b6516865e65139952dee047ee62c0d57d00b1",
-      "bytes": 52568,
-      "rows": 6,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000861-0000-1a5b094eb67e09e9.parquet",
-      "sha256": "1a5b094eb67e09e93e946ee0dac087ceca0a953f8a8753e0d8be2815e7b1ec09",
-      "bytes": 78174,
-      "rows": 8,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Turing.BlankExtends.above_of_le",
     "mathlib:Turing.BlankExtends.below_of_le",
@@ -6587,5 +6564,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TuringMachine.lean\",null,null,\"Turing.reaches\u2081_fwd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TuringMachine.lean\",null,null,\"Turing.tr_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Computability/TuringMachine.lean\",null,null,\"Turing.tr_eval'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367595,
+      "path": "data/train/p34/mathlib-000861-0000-bc93fdff106bee83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 112,
+      "sha256": "bc93fdff106bee83169a5905c3e15d730536debe0f17f96d30e802ee7b97fabb"
+    },
+    {
+      "bytes": 52568,
+      "path": "data/dev/p34/mathlib-000861-0000-4a8d4845a49d2026.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4a8d4845a49d202681a9489dba3b6516865e65139952dee047ee62c0d57d00b1"
+    },
+    {
+      "bytes": 78174,
+      "path": "data/internal_test/p34/mathlib-000861-0000-1a5b094eb67e09e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1a5b094eb67e09e93e946ee0dac087ceca0a953f8a8753e0d8be2815e7b1ec09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000862.json b/manifests/batches/mathlib/000862.json
index 28712e2450bd5ec3c793ef44b951a1bc2b0572f5..0c6ed6907985dd74d96ead86e8acd826204849fd 100644
--- a/manifests/batches/mathlib/000862.json
+++ b/manifests/batches/mathlib/000862.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000862",
   "batch_fingerprint": "4c63bdb02a6d5a5e270f7df7b482982df243ed9e65f8edea400f2aac7e70d18b",
   "evidence": {
@@ -63,7 +62,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000863.json b/manifests/batches/mathlib/000863.json
index 144e33259f28f46f2e33caa870e3266b28592c54..c0b077632f9f8b995a13295def416dbda6ac1c0e 100644
--- a/manifests/batches/mathlib/000863.json
+++ b/manifests/batches/mathlib/000863.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000863",
   "batch_fingerprint": "e23b192fa4497c9cf631bbf85c48258effe25f6d39fb8e74f3bde1d982f99ea0",
   "evidence": {
@@ -568,22 +567,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000863-0000-ecd957de9a214733.parquet",
-      "sha256": "ecd957de9a214733f411428b4bd9b648308769c087c4d129053d3c41bce7a4ff",
-      "bytes": 44503,
-      "rows": 4,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000863-0000-91a75b5a408b3ad5.parquet",
-      "sha256": "91a75b5a408b3ad5bfef04bed38825915bb28ac42115c4e3c50473b7c263534d",
-      "bytes": 37422,
-      "rows": 1,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Applicative.map_seq_map",
     "mathlib:Applicative.pure_seq_eq_map'",
@@ -595,5 +579,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Applicative.lean\",null,null,\"Applicative.pure_seq_eq_map'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Applicative.lean\",null,null,\"Functor.Comp.applicative_comp_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Applicative.lean\",null,null,\"Functor.Comp.pure_seq_eq_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44503,
+      "path": "data/train/p3d/mathlib-000863-0000-ecd957de9a214733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ecd957de9a214733f411428b4bd9b648308769c087c4d129053d3c41bce7a4ff"
+    },
+    {
+      "bytes": 37422,
+      "path": "data/internal_test/p3d/mathlib-000863-0000-91a75b5a408b3ad5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "91a75b5a408b3ad5bfef04bed38825915bb28ac42115c4e3c50473b7c263534d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000864.json b/manifests/batches/mathlib/000864.json
index 628dd449019dbabffd8f00906cd6a68ac39ef6c1..f56515dd41e60ea5fc1c47dfa1d597e68a02435d 100644
--- a/manifests/batches/mathlib/000864.json
+++ b/manifests/batches/mathlib/000864.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000864",
   "batch_fingerprint": "875078ebc91d98fa0b916ad621df5d5ee15fda39257a2cb1f5b94af00752643c",
   "evidence": {
@@ -310,29 +309,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000864-0000-455f9a79dc363fb0.parquet",
-      "sha256": "455f9a79dc363fb07a4a0a31cecc400cb978985c1f5a928053ac5a1b76f553d9",
-      "bytes": 63107,
-      "rows": 12,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/mathlib-000864-0000-8f90e864c2428705.parquet",
-      "sha256": "8f90e864c2428705826ab38dabb664ac121127d5588366c4fd6b13e6d2ada913",
-      "bytes": 31855,
-      "rows": 1,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000864-0000-a0650d6ee1de76a0.parquet",
-      "sha256": "a0650d6ee1de76a03e83b4697600945f9e8c6c4cfeabc6d32826878bce84ef72",
-      "bytes": 38399,
-      "rows": 2,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bifunctor.comp_fst",
     "mathlib:Bifunctor.comp_snd",
@@ -356,5 +333,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Bifunctor.lean\",null,null,\"Bifunctor.comp_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Bifunctor.lean\",null,null,\"Bifunctor.fst_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Bifunctor.lean\",null,null,\"Bifunctor.snd_fst\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63107,
+      "path": "data/train/p80/mathlib-000864-0000-455f9a79dc363fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "455f9a79dc363fb07a4a0a31cecc400cb978985c1f5a928053ac5a1b76f553d9"
+    },
+    {
+      "bytes": 31855,
+      "path": "data/dev/p80/mathlib-000864-0000-8f90e864c2428705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8f90e864c2428705826ab38dabb664ac121127d5588366c4fd6b13e6d2ada913"
+    },
+    {
+      "bytes": 38399,
+      "path": "data/internal_test/p80/mathlib-000864-0000-a0650d6ee1de76a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a0650d6ee1de76a03e83b4697600945f9e8c6c4cfeabc6d32826878bce84ef72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000865.json b/manifests/batches/mathlib/000865.json
index 03f780a56502b329544222af642d4fcb18f3bc5c..b9a8b46994f1d9ebc8e578468cfdc63b20e885f2 100644
--- a/manifests/batches/mathlib/000865.json
+++ b/manifests/batches/mathlib/000865.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000865",
   "batch_fingerprint": "e7a2cf7b20a3e46fdc830f7a41a7b79fea0b482f7da13bb950cbf13ef556ec4d",
   "evidence": {
@@ -128,22 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000865-0000-c9c9e68bbad2467a.parquet",
-      "sha256": "c9c9e68bbad2467a103e0860d96590ae9fd2ee65433af109501edf7bbe58d2b0",
-      "bytes": 83327,
-      "rows": 13,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/mathlib-000865-0000-5d0b317b4c76754c.parquet",
-      "sha256": "5d0b317b4c76754ca192ffc1543efcce10af812c16a30045ee6b9aca043c6113",
-      "bytes": 63277,
-      "rows": 2,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bitraversable.comp_tfst",
     "mathlib:Bitraversable.comp_tsnd",
@@ -165,5 +149,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/EquivFunctor.lean\",null,null,\"EquivFunctor.mapEquiv.injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/EquivFunctor.lean\",null,null,\"EquivFunctor.mapEquiv_refl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/EquivFunctor.lean\",null,null,\"EquivFunctor.mapEquiv_trans\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83327,
+      "path": "data/train/p25/mathlib-000865-0000-c9c9e68bbad2467a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c9c9e68bbad2467a103e0860d96590ae9fd2ee65433af109501edf7bbe58d2b0"
+    },
+    {
+      "bytes": 63277,
+      "path": "data/dev/p25/mathlib-000865-0000-5d0b317b4c76754c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5d0b317b4c76754ca192ffc1543efcce10af812c16a30045ee6b9aca043c6113"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000866.json b/manifests/batches/mathlib/000866.json
index f30d3d52c8f33d14774619b5e8c29a867cab0de5..8c371ad5f871f976e1745aaae8fb18ade9c8b5dd 100644
--- a/manifests/batches/mathlib/000866.json
+++ b/manifests/batches/mathlib/000866.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000866",
   "batch_fingerprint": "b9063abfc73337db8e99077e0e42a03f249f2cb8f07c2553f747075537433ba5",
   "evidence": {
@@ -866,15 +865,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000866-0000-ae22e7d4990407b2.parquet",
-      "sha256": "ae22e7d4990407b2aecd8bc8f63e1aea8f4a2da390a1c3752cfda881b2087235",
-      "bytes": 69290,
-      "rows": 10,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Part.fix_def'",
     "mathlib:Traversable.foldMap_map",
@@ -888,5 +879,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Fold.lean\",null,null,\"Traversable.foldlm.ofFreeMonoid_comp_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Fold.lean\",null,null,\"Traversable.foldr_toList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Fold.lean\",null,null,\"Traversable.foldrm_toList\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69290,
+      "path": "data/train/p21/mathlib-000866-0000-ae22e7d4990407b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ae22e7d4990407b2aecd8bc8f63e1aea8f4a2da390a1c3752cfda881b2087235"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000867.json b/manifests/batches/mathlib/000867.json
index c182fc6b04378c89f48015c569880e025f84a1b0..4c8ac5761f6e44a1cb769379fd2b15f613bb6dcf 100644
--- a/manifests/batches/mathlib/000867.json
+++ b/manifests/batches/mathlib/000867.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000867",
   "batch_fingerprint": "5313425ddea22b5a5d5dccc9315d68b256c46f8712a8d1104c8a6f1ed0acd1d1",
   "evidence": {
@@ -742,22 +741,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000867-0000-f8a45e8348055e9e.parquet",
-      "sha256": "f8a45e8348055e9e70d5091f1d5e2bcf9e38dd692750f396f5335edf5a3d7975",
-      "bytes": 46678,
-      "rows": 4,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/mathlib-000867-0000-c6f2fe0d0aa81998.parquet",
-      "sha256": "c6f2fe0d0aa8199849d7c44e2ec279a2219bd3e874b675c1c2bec907b252799b",
-      "bytes": 66981,
-      "rows": 2,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Functor.Comp.comp_map",
     "mathlib:Functor.Comp.id_map",
@@ -769,5 +753,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Functor.lean\",null,null,\"Functor.Comp.id_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Functor/Multivariate.lean\",null,null,\"MvFunctor.LiftP_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Functor/Multivariate.lean\",null,null,\"MvFunctor.LiftR_def\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46678,
+      "path": "data/train/p03/mathlib-000867-0000-f8a45e8348055e9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f8a45e8348055e9e70d5091f1d5e2bcf9e38dd692750f396f5335edf5a3d7975"
+    },
+    {
+      "bytes": 66981,
+      "path": "data/internal_test/p03/mathlib-000867-0000-c6f2fe0d0aa81998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c6f2fe0d0aa8199849d7c44e2ec279a2219bd3e874b675c1c2bec907b252799b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000868.json b/manifests/batches/mathlib/000868.json
index 50c95fa651b6750d61da8c04d93106fcbd977aea..25e48bdb935b14a099989851cca16608329f0a63 100644
--- a/manifests/batches/mathlib/000868.json
+++ b/manifests/batches/mathlib/000868.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000868",
   "batch_fingerprint": "3b79dbcbeb29ba39be8968e2514634f8375160a7d810ea2e4d1d898c4849e91d",
   "evidence": {
@@ -994,15 +993,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000868-0000-bf7c748ed830780e.parquet",
-      "sha256": "bf7c748ed830780ef4d5e9fa91dd61a282a5e1064c53e1bfe9f3c50fbcbce5ab",
-      "bytes": 78862,
-      "rows": 16,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Part.Fix.approx_le_fix",
     "mathlib:Part.Fix.le_f_of_mem_approx",
@@ -1016,5 +1007,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/LawfulFix.lean\",null,null,\"Part.to_unit_cont\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/LawfulFix.lean\",null,null,\"Pi.continuous_curry\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/LawfulFix.lean\",null,null,\"Pi.continuous_uncurry\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78862,
+      "path": "data/train/p41/mathlib-000868-0000-bf7c748ed830780e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bf7c748ed830780ef4d5e9fa91dd61a282a5e1064c53e1bfe9f3c50fbcbce5ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000869.json b/manifests/batches/mathlib/000869.json
index 8491fbeae9af64d34ec8ccda3e87f1bbda6c3445..d7f49e2361e62e0b4d4251a137aa65ccd6500d0e 100644
--- a/manifests/batches/mathlib/000869.json
+++ b/manifests/batches/mathlib/000869.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000869",
   "batch_fingerprint": "5518d60d143780526d3b6de6d1f4e5da447e11d3bdd8e15a11a8709900f8cf1e",
   "evidence": {
@@ -138,15 +137,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000869-0000-124e96c6e69c7dfd.parquet",
-      "sha256": "124e96c6e69c7dfd0afc60cd27a1e354b291fc28ec90983c5ab7d31e353e4d6d",
-      "bytes": 52884,
-      "rows": 12,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContT.ext",
     "mathlib:ExceptT.goto_mkLabel",
@@ -162,5 +153,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Monad/Cont.lean\",null,null,\"StateT.goto_mkLabel\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Monad/Cont.lean\",null,null,\"WriterT.goto_mkLabel\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Monad/Cont.lean\",null,null,\"WriterT.goto_mkLabel'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52884,
+      "path": "data/train/pad/mathlib-000869-0000-124e96c6e69c7dfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "124e96c6e69c7dfd0afc60cd27a1e354b291fc28ec90983c5ab7d31e353e4d6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000870.json b/manifests/batches/mathlib/000870.json
index f5cae339f3f51cc8cf2219130f70401dd3f8ede0..1e9e4f06683394ea9b4fc92c97759dc609439ff3 100644
--- a/manifests/batches/mathlib/000870.json
+++ b/manifests/batches/mathlib/000870.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000870",
   "batch_fingerprint": "c23a0100b62ad076b59ddb6d3d391837bd2537278f2f85534a979586c131da00",
   "evidence": {
@@ -495,22 +494,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000870-0000-5b67fb70f25af816.parquet",
-      "sha256": "5b67fb70f25af816364ba4751ed5e62f042dd36b1ef443ce43372b61efc820a1",
-      "bytes": 72480,
-      "rows": 14,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000870-0000-4553cbf7af452dce.parquet",
-      "sha256": "4553cbf7af452dce627e15c88617cf3bc96a7dbbd8a6d8a942717c9ab83ef0ce",
-      "bytes": 53571,
-      "rows": 3,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ApplicativeTransformation.coe_inj",
     "mathlib:ApplicativeTransformation.ext",
@@ -534,5 +518,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Equiv.lean\",null,null,\"Equiv.id_traverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Equiv.lean\",null,null,\"Equiv.naturality\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Equiv.lean\",null,null,\"Equiv.traverse_eq_map_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72480,
+      "path": "data/train/p28/mathlib-000870-0000-5b67fb70f25af816.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5b67fb70f25af816364ba4751ed5e62f042dd36b1ef443ce43372b61efc820a1"
+    },
+    {
+      "bytes": 53571,
+      "path": "data/internal_test/p28/mathlib-000870-0000-4553cbf7af452dce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4553cbf7af452dce627e15c88617cf3bc96a7dbbd8a6d8a942717c9ab83ef0ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000871.json b/manifests/batches/mathlib/000871.json
index b12e10595a27cc2dc6a615b936fa197e26173caf..49804058bfe746f8e77cd2e18b2c906e9caae0f7 100644
--- a/manifests/batches/mathlib/000871.json
+++ b/manifests/batches/mathlib/000871.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000871",
   "batch_fingerprint": "1e992fd5cd16861e09bfebb8270f2131bf148552e66a9ecf76bd52a8dbab11d9",
   "evidence": {
@@ -219,15 +218,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000871-0000-dece65e10cd016cf.parquet",
-      "sha256": "dece65e10cd016cf4d49ef27dd63cfc633999780d23736efb15790f9518d3a4c",
-      "bytes": 179869,
-      "rows": 43,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.comp_traverse",
     "mathlib:List.id_traverse",
@@ -283,5 +274,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Lemmas.lean\",null,null,\"Traversable.traverse_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Lemmas.lean\",null,null,\"Traversable.traverse_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Control/Traversable/Lemmas.lean\",null,null,\"Traversable.traverse_map'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179869,
+      "path": "data/train/p87/mathlib-000871-0000-dece65e10cd016cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "dece65e10cd016cf4d49ef27dd63cfc633999780d23736efb15790f9518d3a4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000872.json b/manifests/batches/mathlib/000872.json
index b9d782091f5fcd14dc238d4028bead3acc865c25..0bd9b259bb6e007c06084d81e4c0b6f180bda3f2 100644
--- a/manifests/batches/mathlib/000872.json
+++ b/manifests/batches/mathlib/000872.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000872",
   "batch_fingerprint": "ac0e34a98d4118d8199a13b31550fa4f1ef8de46039e2cae6c5a12de0532877d",
   "evidence": {
@@ -217,7 +216,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000873.json b/manifests/batches/mathlib/000873.json
index fae44cf6e7ce665ab0dc89f2dcb7b6ef8db3ac67..7713c0a80f55d58a4f79a67f1ac50c5fe1c36c33 100644
--- a/manifests/batches/mathlib/000873.json
+++ b/manifests/batches/mathlib/000873.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000873",
   "batch_fingerprint": "457612b7522dde210ab5e941ea1222cd212510cc8ad4beb84d2d4bbc0f150478",
   "evidence": {
@@ -546,29 +545,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000873-0000-571700e852bc01c2.parquet",
-      "sha256": "571700e852bc01c246c0206e3db95016d6a4f58e47928983574ef2728d1822d5",
-      "bytes": 72892,
-      "rows": 18,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/dev/mathlib-000873-0000-32508f8568b23827.parquet",
-      "sha256": "32508f8568b238275d3cf398fd922be04c43434b2a5f522311d9c6d4e66cf6f0",
-      "bytes": 57124,
-      "rows": 4,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000873-0000-96a78a5f570da68f.parquet",
-      "sha256": "96a78a5f570da68f27b90bb46e45e64f75c7aa0e35af613fb208371bddf8db08",
-      "bytes": 40951,
-      "rows": 1,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CFilter.ofEquiv_val",
     "mathlib:Ctop.Realizer.ext'",
@@ -592,5 +569,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Analysis/Topology.lean\",null,null,\"Ctop.Realizer.mem_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Analysis/Topology.lean\",null,null,\"Ctop.Realizer.ofEquiv_F\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Analysis/Topology.lean\",null,null,\"Ctop.ofEquiv_val\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72892,
+      "path": "data/train/p0d/mathlib-000873-0000-571700e852bc01c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "571700e852bc01c246c0206e3db95016d6a4f58e47928983574ef2728d1822d5"
+    },
+    {
+      "bytes": 57124,
+      "path": "data/dev/p0d/mathlib-000873-0000-32508f8568b23827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "32508f8568b238275d3cf398fd922be04c43434b2a5f522311d9c6d4e66cf6f0"
+    },
+    {
+      "bytes": 40951,
+      "path": "data/internal_test/p0d/mathlib-000873-0000-96a78a5f570da68f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "96a78a5f570da68f27b90bb46e45e64f75c7aa0e35af613fb208371bddf8db08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000874.json b/manifests/batches/mathlib/000874.json
index 4507889c27c2216e6711fe2e75db08084d58fd3a..2ad08d2f633cf37d351f67ba2229143982a57277 100644
--- a/manifests/batches/mathlib/000874.json
+++ b/manifests/batches/mathlib/000874.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000874",
   "batch_fingerprint": "f9d90137f7bf52a4b3d56cc6462d7cd4d2c7a88fad0c451e491c793a6a0853c7",
   "evidence": {
@@ -368,28 +367,29 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Array.extract_eq_nil_of_start_eq_end",
+    "mathlib:Array.extract_eq_of_size_le_end"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Array/ExtractLemmas.lean\",null,null,\"Array.extract_eq_nil_of_start_eq_end\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Array/ExtractLemmas.lean\",null,null,\"Array.extract_eq_of_size_le_end\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000874-0000-e1305c53ec3c8614.parquet",
-      "sha256": "e1305c53ec3c8614e29ccd3c895a2229aa7db3a1dfbab30962d22561ff8053c7",
       "bytes": 44676,
+      "path": "data/train/p42/mathlib-000874-0000-e1305c53ec3c8614.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
+      "sha256": "e1305c53ec3c8614e29ccd3c895a2229aa7db3a1dfbab30962d22561ff8053c7"
     },
     {
-      "path": "data/internal_test/mathlib-000874-0000-1e8d383aa56f4f77.parquet",
-      "sha256": "1e8d383aa56f4f776c9cec9895df7b4aa9b785ffd3991c3efdc9b053a00887d5",
       "bytes": 56571,
+      "path": "data/internal_test/p42/mathlib-000874-0000-1e8d383aa56f4f77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
+      "sha256": "1e8d383aa56f4f776c9cec9895df7b4aa9b785ffd3991c3efdc9b053a00887d5"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Array.extract_eq_nil_of_start_eq_end",
-    "mathlib:Array.extract_eq_of_size_le_end"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Array/ExtractLemmas.lean\",null,null,\"Array.extract_eq_nil_of_start_eq_end\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Array/ExtractLemmas.lean\",null,null,\"Array.extract_eq_of_size_le_end\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000875.json b/manifests/batches/mathlib/000875.json
index afef891a4ca8b1468f0e3c6bf06e1dd17974dfde..f5a0ea267c30e26f4ccde7e699cd51cda14841a8 100644
--- a/manifests/batches/mathlib/000875.json
+++ b/manifests/batches/mathlib/000875.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000875",
   "batch_fingerprint": "620275a7e5710d4000b61f042ade75d30cf34d755dc45df88877a9aef49bc0ca",
   "evidence": {
@@ -422,29 +421,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000875-0000-08c3a557d84c3177.parquet",
-      "sha256": "08c3a557d84c31778d9e94175b70841d3bc34c9fa5f51f5a80f58249bda9b870",
-      "bytes": 100518,
-      "rows": 34,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/dev/mathlib-000875-0000-dc5c7a47b8f3669e.parquet",
-      "sha256": "dc5c7a47b8f3669e406a32b0ab359b551fd0b4aed41a55399ea24cd01c7edc4d",
-      "bytes": 32302,
-      "rows": 1,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000875-0000-556cb8c1518c24d6.parquet",
-      "sha256": "556cb8c1518c24d6bbcb976e3d22f60dcc4201765cbcd8a4461a8f5c60200ffc",
-      "bytes": 32992,
-      "rows": 3,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bool.and_elim_left",
     "mathlib:Bool.and_elim_right",
@@ -518,5 +495,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Basic.lean\",null,null,\"Bool.toNat_bne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Basic.lean\",null,null,\"Bool.toNat_le_toNat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Basic.lean\",null,null,\"Bool.xor_iff_ne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100518,
+      "path": "data/train/p51/mathlib-000875-0000-08c3a557d84c3177.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "08c3a557d84c31778d9e94175b70841d3bc34c9fa5f51f5a80f58249bda9b870"
+    },
+    {
+      "bytes": 32302,
+      "path": "data/dev/p51/mathlib-000875-0000-dc5c7a47b8f3669e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dc5c7a47b8f3669e406a32b0ab359b551fd0b4aed41a55399ea24cd01c7edc4d"
+    },
+    {
+      "bytes": 32992,
+      "path": "data/internal_test/p51/mathlib-000875-0000-556cb8c1518c24d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "556cb8c1518c24d6bbcb976e3d22f60dcc4201765cbcd8a4461a8f5c60200ffc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000876.json b/manifests/batches/mathlib/000876.json
index 97858a234a4d45200ca8fb2fa64747bcde2ac646..4eb56a8d57a1f8947adbf74c3abc956d0eb67d7b 100644
--- a/manifests/batches/mathlib/000876.json
+++ b/manifests/batches/mathlib/000876.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000876",
   "batch_fingerprint": "18a4beea2521680b89292c9998555d5f960f5fe755823ed1593e5617dbbb394e",
   "evidence": {
@@ -516,29 +515,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000876-0000-acaff619cbf3982b.parquet",
-      "sha256": "acaff619cbf3982b8a07180aa0d054fa0d181b6a9be84ed41bbb13e015587244",
-      "bytes": 40865,
-      "rows": 5,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/dev/mathlib-000876-0000-8183d045bbd69f8e.parquet",
-      "sha256": "8183d045bbd69f8ea06b7b4e6934228d47ab710b0b572c58ccdfe156fd646ec7",
-      "bytes": 49658,
-      "rows": 2,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000876-0000-8b5b5419fb0eb37a.parquet",
-      "sha256": "8b5b5419fb0eb37a89ff882a4a207fdabaeebeca795e9193fa22dda3ee937355",
-      "bytes": 43125,
-      "rows": 4,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bool.range_eq",
     "mathlib:List.Chain'.length_div_two_le_count_bool",
@@ -556,5 +533,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Count.lean\",null,null,\"List.Chain.count_not\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Count.lean\",null,null,\"List.count_add_count_not\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bool/Set.lean\",null,null,\"Bool.range_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40865,
+      "path": "data/train/p0b/mathlib-000876-0000-acaff619cbf3982b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "acaff619cbf3982b8a07180aa0d054fa0d181b6a9be84ed41bbb13e015587244"
+    },
+    {
+      "bytes": 49658,
+      "path": "data/dev/p0b/mathlib-000876-0000-8183d045bbd69f8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8183d045bbd69f8ea06b7b4e6934228d47ab710b0b572c58ccdfe156fd646ec7"
+    },
+    {
+      "bytes": 43125,
+      "path": "data/internal_test/p0b/mathlib-000876-0000-8b5b5419fb0eb37a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8b5b5419fb0eb37a89ff882a4a207fdabaeebeca795e9193fa22dda3ee937355"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000877.json b/manifests/batches/mathlib/000877.json
index 56f91eccd51bfccf4629988ab1db43d183cd623a..be98a73ab201ff47311d036eda4f96419fe6fbd5 100644
--- a/manifests/batches/mathlib/000877.json
+++ b/manifests/batches/mathlib/000877.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000877",
   "batch_fingerprint": "b58413bd6bf6cb817ae2f648480934e98e518e63b97345bdd45724fbf33b1886",
   "evidence": {
@@ -223,15 +222,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000877-0000-ecac367b5e72dd77.parquet",
-      "sha256": "ecac367b5e72dd775353dabf17db341c7469fa7e9d3b1aad6f91d94d63a32a2f",
-      "bytes": 31760,
-      "rows": 3,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bundle.TotalSpace.mk_cast",
     "mathlib:Bundle.TotalSpace.mk_inj"
@@ -239,5 +230,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bundle.lean\",null,null,\"Bundle.TotalSpace.mk_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Bundle.lean\",null,null,\"Bundle.TotalSpace.mk_inj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 31760,
+      "path": "data/train/p3d/mathlib-000877-0000-ecac367b5e72dd77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ecac367b5e72dd775353dabf17db341c7469fa7e9d3b1aad6f91d94d63a32a2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000878.json b/manifests/batches/mathlib/000878.json
index f21f9f92faf90fbf45544bdee07ee3a05bd6dde6..d33ce2e09195adf345388b3e463476c9fc950f45 100644
--- a/manifests/batches/mathlib/000878.json
+++ b/manifests/batches/mathlib/000878.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000878",
   "batch_fingerprint": "746b9fac858830c3aa87f9c45cd25d28d917e889720cb94b5fd656eb0b8e116c",
   "evidence": {
@@ -4481,22 +4480,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000878-0000-35c3382e5f685018.parquet",
-      "sha256": "35c3382e5f68501839dc2257a99212c1545c796f987df686f10ed7a55877f79c",
-      "bytes": 116565,
-      "rows": 33,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/mathlib-000878-0000-0fe70b37d0681995.parquet",
-      "sha256": "0fe70b37d06819950fc5511af57ed333fec64077ecdfa2c1f0af15f3f2259215",
-      "bytes": 41870,
-      "rows": 4,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.AbsTheory.abs_add",
     "mathlib:Complex.AbsTheory.abs_conj",
@@ -4550,5 +4534,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Abs.lean\",null,null,\"Complex.range_normSq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Abs.lean\",null,null,\"Complex.sq_abs_sub_sq_im\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Abs.lean\",null,null,\"Complex.sq_abs_sub_sq_re\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116565,
+      "path": "data/train/p3f/mathlib-000878-0000-35c3382e5f685018.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "35c3382e5f68501839dc2257a99212c1545c796f987df686f10ed7a55877f79c"
+    },
+    {
+      "bytes": 41870,
+      "path": "data/internal_test/p3f/mathlib-000878-0000-0fe70b37d0681995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0fe70b37d06819950fc5511af57ed333fec64077ecdfa2c1f0af15f3f2259215"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000879.json b/manifests/batches/mathlib/000879.json
index 71cc9f33810098515a7d0ee636bab77b0933e06f..9985454d7e9b911b52f163b6407fc93ab2318358 100644
--- a/manifests/batches/mathlib/000879.json
+++ b/manifests/batches/mathlib/000879.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000879",
   "batch_fingerprint": "d56f4ba3d9971c51b9424d0402d854b357a113cbce1d9ec4ce29522de4e5faa8",
   "evidence": {
@@ -106,15 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000879-0000-f9fa4549df41225c.parquet",
-      "sha256": "f9fa4549df41225c80a5de200b6332c8ef164736737b835fc4890ff4c00a350f",
-      "bytes": 43939,
-      "rows": 4,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:mk_complex",
     "mathlib:mk_univ_complex",
@@ -124,5 +115,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Cardinality.lean\",null,null,\"mk_complex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Cardinality.lean\",null,null,\"mk_univ_complex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Cardinality.lean\",null,null,\"not_countable_complex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43939,
+      "path": "data/train/pd8/mathlib-000879-0000-f9fa4549df41225c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f9fa4549df41225c80a5de200b6332c8ef164736737b835fc4890ff4c00a350f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000880.json b/manifests/batches/mathlib/000880.json
index 5a1578065424a63c83b2682e3236590f06d1b037..041aae6d01393674f1eadafcd444a69c428cf90b 100644
--- a/manifests/batches/mathlib/000880.json
+++ b/manifests/batches/mathlib/000880.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000880",
   "batch_fingerprint": "c3e02e8d35a24636f7fd5f7db0eaa468aa2e716a48cbb96a1104a6cc74224670",
   "evidence": {
@@ -4690,29 +4689,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000880-0000-c1003e8111574744.parquet",
-      "sha256": "c1003e8111574744762b949c35ca55128ea90a0d90d429d7d159e2028aa53718",
-      "bytes": 381563,
-      "rows": 192,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000880-0000-54544950aff94848.parquet",
-      "sha256": "54544950aff948485380d9cc4beba665a95068e5904cc4944647355ddc255b3a",
-      "bytes": 41483,
-      "rows": 5,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000880-0000-10f11d0fee5061c5.parquet",
-      "sha256": "10f11d0fee5061c54638f8a7b1a09403d00dca3a24879bcf2284d671aa8fb3a1",
-      "bytes": 56728,
-      "rows": 25,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.abs_cos_add_sin_mul_I",
     "mathlib:Complex.abs_exp",
@@ -5048,5 +5025,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Exponential.lean\",null,null,\"Real.tanh_eq_sinh_div_cosh\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Exponential.lean\",null,null,\"Real.tanh_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Exponential.lean\",null,null,\"Real.tanh_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381563,
+      "path": "data/train/p7b/mathlib-000880-0000-c1003e8111574744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 192,
+      "sha256": "c1003e8111574744762b949c35ca55128ea90a0d90d429d7d159e2028aa53718"
+    },
+    {
+      "bytes": 41483,
+      "path": "data/dev/p7b/mathlib-000880-0000-54544950aff94848.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "54544950aff948485380d9cc4beba665a95068e5904cc4944647355ddc255b3a"
+    },
+    {
+      "bytes": 56728,
+      "path": "data/internal_test/p7b/mathlib-000880-0000-10f11d0fee5061c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "10f11d0fee5061c54638f8a7b1a09403d00dca3a24879bcf2284d671aa8fb3a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000881.json b/manifests/batches/mathlib/000881.json
index c74909836b99bacb78a56c223af9f10846a6bf51..068068b8c683bc34ab39681c3105c44db2a04cc7 100644
--- a/manifests/batches/mathlib/000881.json
+++ b/manifests/batches/mathlib/000881.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000881",
   "batch_fingerprint": "ba1ba9f572ef132f7d0f43c4b4fc1c11ec8f89e3210576652ee89f6670c04685",
   "evidence": {
@@ -605,29 +604,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000881-0000-6374dd1bf76bd455.parquet",
-      "sha256": "6374dd1bf76bd455dc67c7f6f86e43836e41cf199f5d56d6c44b0235913a0193",
-      "bytes": 38732,
-      "rows": 8,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000881-0000-f6b89e17a79dbb50.parquet",
-      "sha256": "f6b89e17a79dbb50db0ee46870b3f26d7844019a054bdcbbfb14a352305d62c1",
-      "bytes": 47481,
-      "rows": 1,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000881-0000-7453d55ce521bc59.parquet",
-      "sha256": "7453d55ce521bc592ab65235d927aeefe399f7d7e8c8bb8cbec744441c2527f3",
-      "bytes": 37140,
-      "rows": 6,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.finrank_real_complex",
     "mathlib:Complex.nonempty_linearEquiv_real",
@@ -655,5 +632,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Real.rank_rat_real\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"finrank_real_of_complex\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"rank_real_of_complex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38732,
+      "path": "data/train/p32/mathlib-000881-0000-6374dd1bf76bd455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6374dd1bf76bd455dc67c7f6f86e43836e41cf199f5d56d6c44b0235913a0193"
+    },
+    {
+      "bytes": 47481,
+      "path": "data/dev/p32/mathlib-000881-0000-f6b89e17a79dbb50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f6b89e17a79dbb50db0ee46870b3f26d7844019a054bdcbbfb14a352305d62c1"
+    },
+    {
+      "bytes": 37140,
+      "path": "data/internal_test/p32/mathlib-000881-0000-7453d55ce521bc59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7453d55ce521bc592ab65235d927aeefe399f7d7e8c8bb8cbec744441c2527f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000882.json b/manifests/batches/mathlib/000882.json
index 98d20d929607b102de9a52e6158489398c052b27..4d07a1015f738d55909b23daf6b3960503282d15 100644
--- a/manifests/batches/mathlib/000882.json
+++ b/manifests/batches/mathlib/000882.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000882",
   "batch_fingerprint": "444b675921c8d6a259f7255f6a5cc5d079ecf3c417620b3857d9c590e286e188",
   "evidence": {
@@ -838,29 +837,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000882-0000-0d3dbdd699a544b5.parquet",
-      "sha256": "0d3dbdd699a544b544077797302de166cd663e60c91ef31b77958069709d4944",
-      "bytes": 172812,
-      "rows": 36,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000882-0000-06a38e2774bf350c.parquet",
-      "sha256": "06a38e2774bf350cf4949fa9f881c20b93bbffa9c7e9bbc086a3093f81876d38",
-      "bytes": 45905,
-      "rows": 1,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000882-0000-d2070f2d133c2dbd.parquet",
-      "sha256": "d2070f2d133c2dbd254125f6be3d77f1219de71e70ed3b7e143be78dd3b8573b",
-      "bytes": 29371,
-      "rows": 1,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.algHom_ext",
     "mathlib:Complex.coe_selfAdjointEquiv",
@@ -914,5 +891,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.re_eq_neg_abs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.real_le_real\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.real_lt_real\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172812,
+      "path": "data/train/pb6/mathlib-000882-0000-0d3dbdd699a544b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "0d3dbdd699a544b544077797302de166cd663e60c91ef31b77958069709d4944"
+    },
+    {
+      "bytes": 45905,
+      "path": "data/dev/pb6/mathlib-000882-0000-06a38e2774bf350c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "06a38e2774bf350cf4949fa9f881c20b93bbffa9c7e9bbc086a3093f81876d38"
+    },
+    {
+      "bytes": 29371,
+      "path": "data/internal_test/pb6/mathlib-000882-0000-d2070f2d133c2dbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d2070f2d133c2dbd254125f6be3d77f1219de71e70ed3b7e143be78dd3b8573b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000883.json b/manifests/batches/mathlib/000883.json
index e149aa10982ddd6455ad35d0548776eac2f6aeee..7a229ce1ae9a41ae1198c3c37180f870d394e989 100644
--- a/manifests/batches/mathlib/000883.json
+++ b/manifests/batches/mathlib/000883.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000883",
   "batch_fingerprint": "e26db3b5b4cff0eddfbcf9b8de4c76696152677de5cae45aed11476799b58517",
   "evidence": {
@@ -458,15 +457,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000883-0000-199f7adf3d6f9228.parquet",
-      "sha256": "199f7adf3d6f922845933f759e8d94311c413a63dd2c66a27da9d5d83f6be1d7",
-      "bytes": 48197,
-      "rows": 3,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:not_uncountable_iff",
     "mathlib:uncountable_iff_forall_not_surjective",
@@ -476,5 +467,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Basic.lean\",null,null,\"uncountable_iff_isEmpty_embedding\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Defs.lean\",null,null,\"not_uncountable_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Defs.lean\",null,null,\"uncountable_iff_forall_not_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48197,
+      "path": "data/train/pff/mathlib-000883-0000-199f7adf3d6f9228.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "199f7adf3d6f922845933f759e8d94311c413a63dd2c66a27da9d5d83f6be1d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000884.json b/manifests/batches/mathlib/000884.json
index de84c222bd45e702ea90b6ce0123c4d6ad26185e..a62003417740175c8ce51b5ad6ad647200434dc1 100644
--- a/manifests/batches/mathlib/000884.json
+++ b/manifests/batches/mathlib/000884.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000884",
   "batch_fingerprint": "bdc59783ffb877f91909f3712ad770cdaa6f7279ca8b30c205e3973ed50c1b7e",
   "evidence": {
@@ -5825,29 +5824,7 @@
     "validation_rejected_proofs": 27,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000884-0000-f0b377fb31fc04ec.parquet",
-      "sha256": "f0b377fb31fc04ec347154262c2b13cc83df3bb2c0ccd1c45fa946c051afbd40",
-      "bytes": 479244,
-      "rows": 115,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000884-0000-21374b9edbbf1c00.parquet",
-      "sha256": "21374b9edbbf1c00d8e28fd87318bff3a8bcf68c12eb52800e7dbff4785a3484",
-      "bytes": 75661,
-      "rows": 6,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000884-0000-ec878f21778a8797.parquet",
-      "sha256": "ec878f21778a8797ef52a95069e7a5ad0380fd59027dac565d2c61a1262ad02e",
-      "bytes": 91764,
-      "rows": 16,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubmonoid.mem_iSup_iff_exists_dfinsupp'",
     "mathlib:DFinsupp.addHom_ext",
@@ -5999,5 +5976,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Interval.lean\",null,null,\"DFinsupp.card_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Interval.lean\",null,null,\"DFinsupp.card_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Interval.lean\",null,null,\"DFinsupp.support_rangeIcc_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 479244,
+      "path": "data/train/p21/mathlib-000884-0000-f0b377fb31fc04ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 115,
+      "sha256": "f0b377fb31fc04ec347154262c2b13cc83df3bb2c0ccd1c45fa946c051afbd40"
+    },
+    {
+      "bytes": 75661,
+      "path": "data/dev/p21/mathlib-000884-0000-21374b9edbbf1c00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "21374b9edbbf1c00d8e28fd87318bff3a8bcf68c12eb52800e7dbff4785a3484"
+    },
+    {
+      "bytes": 91764,
+      "path": "data/internal_test/p21/mathlib-000884-0000-ec878f21778a8797.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ec878f21778a8797ef52a95069e7a5ad0380fd59027dac565d2c61a1262ad02e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000885.json b/manifests/batches/mathlib/000885.json
index c8457985abde92caa7e5623efeff5b5c5cf8399d..341d3c0d6b75f02d43be79fc9e932e753cf339c5 100644
--- a/manifests/batches/mathlib/000885.json
+++ b/manifests/batches/mathlib/000885.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000885",
   "batch_fingerprint": "6f25286ab2f291ca3d483239c87cc9da052e9074d7192695eb74969b3d8614ee",
   "evidence": {
@@ -418,22 +417,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000885-0000-afd5958bbfde5ebb.parquet",
-      "sha256": "afd5958bbfde5ebb8b10c236cbb65a19effeade02a2df0c352f42e6f2080946b",
-      "bytes": 64557,
-      "rows": 13,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000885-0000-cbd59d62ad90796f.parquet",
-      "sha256": "cbd59d62ad90796f1a0cf1ef168e85a736a8d88979367ba0f60aaa543036b693",
-      "bytes": 38391,
-      "rows": 2,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DFinsupp.lex_lt_of_lt",
     "mathlib:DFinsupp.toMultiset_inf",
@@ -457,5 +441,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_replicate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_union\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64557,
+      "path": "data/train/p71/mathlib-000885-0000-afd5958bbfde5ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "afd5958bbfde5ebb8b10c236cbb65a19effeade02a2df0c352f42e6f2080946b"
+    },
+    {
+      "bytes": 38391,
+      "path": "data/internal_test/p71/mathlib-000885-0000-cbd59d62ad90796f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cbd59d62ad90796f1a0cf1ef168e85a736a8d88979367ba0f60aaa543036b693"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000886.json b/manifests/batches/mathlib/000886.json
index fa7e62cbefcd88512b2491d00eb0abd4fafc5be0..a8a1f05239b3235ad3ad664acb9dd65aebcb0e6e 100644
--- a/manifests/batches/mathlib/000886.json
+++ b/manifests/batches/mathlib/000886.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000886",
   "batch_fingerprint": "f0f7eb51c35e43512204195e3a9ab294a619dd00811beff173ee037f4531ca4d",
   "evidence": {
@@ -638,22 +637,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000886-0000-d23c0f21bc1b95e4.parquet",
-      "sha256": "d23c0f21bc1b95e4a5c13af42643c165bb30b2dade9f84ec31b0cb86027ba63e",
-      "bytes": 114426,
-      "rows": 30,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000886-0000-d2b22ffb71966be0.parquet",
-      "sha256": "d2b22ffb71966be0e60025eda603830b797a47b8baabf513e47d8c4ca03f1188",
-      "bytes": 66744,
-      "rows": 4,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DFinsupp.add_eq_zero_iff",
     "mathlib:DFinsupp.coe_tsub",
@@ -703,5 +687,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_tsub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114426,
+      "path": "data/train/p29/mathlib-000886-0000-d23c0f21bc1b95e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d23c0f21bc1b95e4a5c13af42643c165bb30b2dade9f84ec31b0cb86027ba63e"
+    },
+    {
+      "bytes": 66744,
+      "path": "data/internal_test/p29/mathlib-000886-0000-d2b22ffb71966be0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d2b22ffb71966be0e60025eda603830b797a47b8baabf513e47d8c4ca03f1188"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000887.json b/manifests/batches/mathlib/000887.json
index 5c23bf57df3191cd21f0652be5233005ebb89428..50fee34d152c60ec8c76583fbfaa3e5cad4ac000 100644
--- a/manifests/batches/mathlib/000887.json
+++ b/manifests/batches/mathlib/000887.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000887",
   "batch_fingerprint": "40fd1c6e14a984dd9349410b0245f4c3d8790d56535c86f0d02c5cb5ee5da88b",
   "evidence": {
@@ -1014,7 +1013,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000888.json b/manifests/batches/mathlib/000888.json
index de03f77e3f6ab1de4be40d492f091e0b34e0ea3b..fb0a1e5d933be1de1bf31288c03a50af932ad9aa 100644
--- a/manifests/batches/mathlib/000888.json
+++ b/manifests/batches/mathlib/000888.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000888",
   "batch_fingerprint": "b62c8f1c40bbdcba603ad4dd18f2eb1afc5080e588b85878b7a17114fe45db8e",
   "evidence": {
@@ -2350,29 +2349,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000888-0000-0e407f299d3870cb.parquet",
-      "sha256": "0e407f299d3870cbfdf62581bce5c2577c1847630085ef60c11c63b07624ac96",
-      "bytes": 145481,
-      "rows": 64,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000888-0000-d7956e490d8c4d3a.parquet",
-      "sha256": "d7956e490d8c4d3aa505bfdf483c14fbe99b9e913ccd1cb89d60b1432dae58d5",
-      "bytes": 42797,
-      "rows": 4,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000888-0000-0891b870fd637c48.parquet",
-      "sha256": "0891b870fd637c48cb5862d77df03a2448f622c6b4d37f256165146e1b337707",
-      "bytes": 42861,
-      "rows": 7,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Batteries.DList.ofList_toList",
     "mathlib:Batteries.DList.toList_append",
@@ -2456,5 +2433,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"ENNReal.toReal_ofReal_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"Set.OrdConnected.image_coe_nnreal_ennreal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"Set.OrdConnected.image_ennreal_ofReal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145481,
+      "path": "data/train/pfb/mathlib-000888-0000-0e407f299d3870cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "0e407f299d3870cbfdf62581bce5c2577c1847630085ef60c11c63b07624ac96"
+    },
+    {
+      "bytes": 42797,
+      "path": "data/dev/pfb/mathlib-000888-0000-d7956e490d8c4d3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d7956e490d8c4d3aa505bfdf483c14fbe99b9e913ccd1cb89d60b1432dae58d5"
+    },
+    {
+      "bytes": 42861,
+      "path": "data/internal_test/pfb/mathlib-000888-0000-0891b870fd637c48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0891b870fd637c48cb5862d77df03a2448f622c6b4d37f256165146e1b337707"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000889.json b/manifests/batches/mathlib/000889.json
index 3f838aae809084c091d74e8876be91e25b166a1c..3d07ffbbb629623c943573c64e59c6a2b7405b3d 100644
--- a/manifests/batches/mathlib/000889.json
+++ b/manifests/batches/mathlib/000889.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000889",
   "batch_fingerprint": "a80f8d6ec98f35363b96799c4fa55e1f86ba644e8de11e9d60ac64d1f89a93d2",
   "evidence": {
@@ -4404,29 +4403,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000889-0000-ec7f8f2e3b7595d7.parquet",
-      "sha256": "ec7f8f2e3b7595d7d430abf78c583bb4c7882a80ec412ad07d4a46daa0ca9218",
-      "bytes": 253031,
-      "rows": 102,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000889-0000-175a6ad21eb9bf2d.parquet",
-      "sha256": "175a6ad21eb9bf2de22d309415be66038108c237402494c5dd79af49b53c37c4",
-      "bytes": 48700,
-      "rows": 10,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000889-0000-db38cc6fb54f065c.parquet",
-      "sha256": "db38cc6fb54f065c6251560e72db2e52222c03e9a75a3a2cd6d03808225e5b01",
-      "bytes": 64118,
-      "rows": 14,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.add_halves",
     "mathlib:ENNReal.add_ne_top",
@@ -4592,5 +4569,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Operations.lean\",null,null,\"ENNReal.toNNReal_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Operations.lean\",null,null,\"ENNReal.toReal_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Operations.lean\",null,null,\"ENNReal.top_mul'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253031,
+      "path": "data/train/p43/mathlib-000889-0000-ec7f8f2e3b7595d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "ec7f8f2e3b7595d7d430abf78c583bb4c7882a80ec412ad07d4a46daa0ca9218"
+    },
+    {
+      "bytes": 48700,
+      "path": "data/dev/p43/mathlib-000889-0000-175a6ad21eb9bf2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "175a6ad21eb9bf2de22d309415be66038108c237402494c5dd79af49b53c37c4"
+    },
+    {
+      "bytes": 64118,
+      "path": "data/internal_test/p43/mathlib-000889-0000-db38cc6fb54f065c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "db38cc6fb54f065c6251560e72db2e52222c03e9a75a3a2cd6d03808225e5b01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000890.json b/manifests/batches/mathlib/000890.json
index bdd6598e5ddc1e1d3bfb6e612a30e4f8d9028bc7..43c3f50232bf1612d0bd76c74389ef1f2806df36 100644
--- a/manifests/batches/mathlib/000890.json
+++ b/manifests/batches/mathlib/000890.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000890",
   "batch_fingerprint": "ad674c776ec0b4979aecfca4b690c20867d530355ef22b6571be52119ecc7ac3",
   "evidence": {
@@ -2388,29 +2387,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000890-0000-b32c6307566ca5e2.parquet",
-      "sha256": "b32c6307566ca5e2228660841b6992d98661a246a975e7d3b65a2103a50327ad",
-      "bytes": 199759,
-      "rows": 72,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/mathlib-000890-0000-b1e2d7a83516f23d.parquet",
-      "sha256": "b1e2d7a83516f23dfcb107c466debd3bd5d813cf29b5641076321b4984efd557",
-      "bytes": 46750,
-      "rows": 11,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/mathlib-000890-0000-3ebbaeff17321eb7.parquet",
-      "sha256": "3ebbaeff17321eb7858dbef9df7f8a171707aadd64c2f331e3891d9893e90fe3",
-      "bytes": 39858,
-      "rows": 4,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.add_iInf",
     "mathlib:ENNReal.dichotomy",
@@ -2538,5 +2515,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENat/Basic.lean\",null,null,\"ENat.toNat_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENat/Basic.lean\",null,null,\"ENat.toNat_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENat/Basic.lean\",null,null,\"ENat.toNat_le_of_le_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199759,
+      "path": "data/train/pbe/mathlib-000890-0000-b32c6307566ca5e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 72,
+      "sha256": "b32c6307566ca5e2228660841b6992d98661a246a975e7d3b65a2103a50327ad"
+    },
+    {
+      "bytes": 46750,
+      "path": "data/dev/pbe/mathlib-000890-0000-b1e2d7a83516f23d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b1e2d7a83516f23dfcb107c466debd3bd5d813cf29b5641076321b4984efd557"
+    },
+    {
+      "bytes": 39858,
+      "path": "data/internal_test/pbe/mathlib-000890-0000-3ebbaeff17321eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3ebbaeff17321eb7858dbef9df7f8a171707aadd64c2f331e3891d9893e90fe3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000891.json b/manifests/batches/mathlib/000891.json
index b8f3c415a42dd41d4d426eb58e0828dac8b703ad..12352a6eade81d3c87da2b6dcdc6a78f3a527b4e 100644
--- a/manifests/batches/mathlib/000891.json
+++ b/manifests/batches/mathlib/000891.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000891",
   "batch_fingerprint": "356c9c8cbf266fc1cd204de07e931534030b8b690171c5da1cc7449c13c9da9e",
   "evidence": {
@@ -260,19 +259,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000891-0000-57c18906addee3cf.parquet",
-      "sha256": "57c18906addee3cf9cc3a6f780dcabfb3f31ec5b9a6807bd9130eed3a8cb81ff",
-      "bytes": 33894,
-      "rows": 1,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENat.iInf_coe_ne_top"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENat/Lattice.lean\",null,null,\"ENat.iInf_coe_ne_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33894,
+      "path": "data/train/pe8/mathlib-000891-0000-57c18906addee3cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "57c18906addee3cf9cc3a6f780dcabfb3f31ec5b9a6807bd9130eed3a8cb81ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000892.json b/manifests/batches/mathlib/000892.json
index d137f68dbd1165abe3006f689cf0024268dc935b..a6480cc87acb6424f56419e150b9f90c0496937d 100644
--- a/manifests/batches/mathlib/000892.json
+++ b/manifests/batches/mathlib/000892.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000892",
   "batch_fingerprint": "456d4b077a4a56b4ebbbfb784ffa18956516c1d76eeb46470e2ddfb2ccbc495c",
   "evidence": {
@@ -321,22 +320,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000892-0000-04ddbe2d96fe8362.parquet",
-      "sha256": "04ddbe2d96fe83620455a978daa137c269a733bd372e704be9e2bbcb0761f2d7",
-      "bytes": 34627,
-      "rows": 4,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000892-0000-be388b9fb6ac3f2d.parquet",
-      "sha256": "be388b9fb6ac3f2d12af7218da8e2f2762547404d5cd6e8124852dfd4a964b2a",
-      "bytes": 29971,
-      "rows": 1,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Erased.map_out",
     "mathlib:Erased.mk_out",
@@ -346,5 +330,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Erased.lean\",null,null,\"Erased.map_out\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Erased.lean\",null,null,\"Erased.mk_out\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Erased.lean\",null,null,\"Erased.out_inj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34627,
+      "path": "data/train/pda/mathlib-000892-0000-04ddbe2d96fe8362.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "04ddbe2d96fe83620455a978daa137c269a733bd372e704be9e2bbcb0761f2d7"
+    },
+    {
+      "bytes": 29971,
+      "path": "data/internal_test/pda/mathlib-000892-0000-be388b9fb6ac3f2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "be388b9fb6ac3f2d12af7218da8e2f2762547404d5cd6e8124852dfd4a964b2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000893.json b/manifests/batches/mathlib/000893.json
index 93d70b37f92fd0429e334ac6caf5e1186039579c..27aaec0e52eea3e608dbee30b0438eaecb82a015 100644
--- a/manifests/batches/mathlib/000893.json
+++ b/manifests/batches/mathlib/000893.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000893",
   "batch_fingerprint": "633129033772456194ec1f754c605e6858c8e5ba5e8049257b316e2035d03689",
   "evidence": {
@@ -4908,29 +4907,7 @@
     "validation_rejected_proofs": 26,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000893-0000-85fa75a80c7e1336.parquet",
-      "sha256": "85fa75a80c7e13366e02be6a5fca13bb25c0401398fa5449132a1a67c965d68e",
-      "bytes": 308311,
-      "rows": 136,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/mathlib-000893-0000-1c208ff0867880c7.parquet",
-      "sha256": "1c208ff0867880c7064528e0e265ddcc309513703076bf439686f68edab9cc4d",
-      "bytes": 38651,
-      "rows": 9,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000893-0000-56bfcfe750f9eda2.parquet",
-      "sha256": "56bfcfe750f9eda2a00dcbce33562a346cf865eeae041ddff4a25f6af4cf7f69",
-      "bytes": 53913,
-      "rows": 17,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.add_zero",
     "mathlib:Fin.castLE_inj",
@@ -5182,5 +5159,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Fin2.lean\",null,null,\"Fin2.rev_castSucc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Fin2.lean\",null,null,\"Fin2.rev_last\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Fin2.lean\",null,null,\"Fin2.rev_rev\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308311,
+      "path": "data/train/p93/mathlib-000893-0000-85fa75a80c7e1336.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 136,
+      "sha256": "85fa75a80c7e13366e02be6a5fca13bb25c0401398fa5449132a1a67c965d68e"
+    },
+    {
+      "bytes": 38651,
+      "path": "data/dev/p93/mathlib-000893-0000-1c208ff0867880c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1c208ff0867880c7064528e0e265ddcc309513703076bf439686f68edab9cc4d"
+    },
+    {
+      "bytes": 53913,
+      "path": "data/internal_test/p93/mathlib-000893-0000-56bfcfe750f9eda2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "56bfcfe750f9eda2a00dcbce33562a346cf865eeae041ddff4a25f6af4cf7f69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000894.json b/manifests/batches/mathlib/000894.json
index 645a70374353171f43fd3a180d081f24545ee660..266153cbcc16796356ac446088b2b2def023ec84 100644
--- a/manifests/batches/mathlib/000894.json
+++ b/manifests/batches/mathlib/000894.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000894",
   "batch_fingerprint": "d2302d2e8753d43a658ee48f1a64747cbdb6f198ae0650776e9fd1d84bbc50b6",
   "evidence": {
@@ -251,7 +250,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000895.json b/manifests/batches/mathlib/000895.json
index 3dfdef88fec9534608657512189ced076ec9afe2..703cf81eafca440c8e07268261bc5f9bcf8e0697 100644
--- a/manifests/batches/mathlib/000895.json
+++ b/manifests/batches/mathlib/000895.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000895",
   "batch_fingerprint": "89ca08044cf109d6107c3bf79b82d6f0bb5b6fb8519526c3f129260fdce1c904",
   "evidence": {
@@ -4565,29 +4564,7 @@
     "validation_rejected_proofs": 22,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000895-0000-345e7c25a6400346.parquet",
-      "sha256": "345e7c25a6400346ed71a81b84964a1d35f5899ca277f4d924b7c9079573f98e",
-      "bytes": 261904,
-      "rows": 71,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/mathlib-000895-0000-67db0f70262c87e5.parquet",
-      "sha256": "67db0f70262c87e5ee91710d6ef1185fe0a448913c945231cc359afc4bb20c50",
-      "bytes": 46283,
-      "rows": 3,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/internal_test/mathlib-000895-0000-9c2998fbdaa3a4b3.parquet",
-      "sha256": "9c2998fbdaa3a4b38da0d273790313d96850fb159a867674db628cdc4778d69b",
-      "bytes": 52357,
-      "rows": 4,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.append_left_snoc",
     "mathlib:Fin.append_right_cons",
@@ -4691,5 +4668,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Basic.lean\",null,null,\"Fin.tail_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Basic.lean\",null,null,\"Fin.tail_init_eq_init_tail\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Basic.lean\",null,null,\"Fin.tail_update_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261904,
+      "path": "data/train/pe9/mathlib-000895-0000-345e7c25a6400346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "345e7c25a6400346ed71a81b84964a1d35f5899ca277f4d924b7c9079573f98e"
+    },
+    {
+      "bytes": 46283,
+      "path": "data/dev/pe9/mathlib-000895-0000-67db0f70262c87e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "67db0f70262c87e5ee91710d6ef1185fe0a448913c945231cc359afc4bb20c50"
+    },
+    {
+      "bytes": 52357,
+      "path": "data/internal_test/pe9/mathlib-000895-0000-9c2998fbdaa3a4b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9c2998fbdaa3a4b38da0d273790313d96850fb159a867674db628cdc4778d69b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000896.json b/manifests/batches/mathlib/000896.json
index 757de26a41bf0d3673dc0263b88a7ab80faa6669..b8e6a970869e4c13599732687b2460a3acc7028c 100644
--- a/manifests/batches/mathlib/000896.json
+++ b/manifests/batches/mathlib/000896.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000896",
   "batch_fingerprint": "214d26d9f448b3620fa3550805afdafc4e7d8f2b62cb9d9edfce6cf19f38260e",
   "evidence": {
@@ -297,15 +296,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000896-0000-f2884fa8ddf6db2d.parquet",
-      "sha256": "f2884fa8ddf6db2d0dc792e778c6f72ddfc7460c20645ec8fe5a228d542c756c",
-      "bytes": 40781,
-      "rows": 5,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.cons_mem_piFinset_cons",
     "mathlib:Fin.mem_piFinset_succ",
@@ -319,5 +310,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Finset.lean\",null,null,\"Fin.mem_piFinset_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Finset.lean\",null,null,\"Fin.mem_piFinset_succ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Finset.lean\",null,null,\"Fin.snoc_mem_piFinset_snoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40781,
+      "path": "data/train/p11/mathlib-000896-0000-f2884fa8ddf6db2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f2884fa8ddf6db2d0dc792e778c6f72ddfc7460c20645ec8fe5a228d542c756c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000897.json b/manifests/batches/mathlib/000897.json
index cb028be9a75eda77ab264ba136c8d62cc4046622..bc52b2036632845497065b71dedb9da4efd6319d 100644
--- a/manifests/batches/mathlib/000897.json
+++ b/manifests/batches/mathlib/000897.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000897",
   "batch_fingerprint": "b1b45e6f3ba7c08c6c7cb8ddde94e0e127b6d4af4d138965cc97567f03435b3a",
   "evidence": {
@@ -1000,15 +999,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000897-0000-d6895874413203e3.parquet",
-      "sha256": "d6895874413203e37eca1b67d8969fda53fa2ab900e77d0bb36ffe99337dd384",
-      "bytes": 59387,
-      "rows": 14,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Nat.antidiagonalTuple_one",
     "mathlib:List.Nat.antidiagonalTuple_two",
@@ -1020,5 +1011,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean\",null,null,\"List.Nat.antidiagonalTuple_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean\",null,null,\"List.Nat.antidiagonalTuple_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean\",null,null,\"List.Nat.antidiagonalTuple_zero_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59387,
+      "path": "data/train/p70/mathlib-000897-0000-d6895874413203e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d6895874413203e37eca1b67d8969fda53fa2ab900e77d0bb36ffe99337dd384"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000898.json b/manifests/batches/mathlib/000898.json
index fb007b7382c95bb409358523e3d3d380b9d50683..97dfdaf960fb08b859ed84f18a4ec7ceb6b5ee72 100644
--- a/manifests/batches/mathlib/000898.json
+++ b/manifests/batches/mathlib/000898.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000898",
   "batch_fingerprint": "ce59cda6a8b259a59c37dc34e9a1d985d7f005a79e5eadcbbdfd70afa416e554",
   "evidence": {
@@ -810,15 +809,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000898-0000-6d89db7fcca1453b.parquet",
-      "sha256": "6d89db7fcca1453b829f46247f31a040077fd06adeffe556231fdefdedf78796",
-      "bytes": 54081,
-      "rows": 11,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FinVec.sum_eq",
     "mathlib:Tuple.antitone_pair_of_not_sorted'",
@@ -834,5 +825,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Sort.lean\",null,null,\"Tuple.monotone_sort\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Sort.lean\",null,null,\"Tuple.self_comp_sort\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fin/Tuple/Sort.lean\",null,null,\"Tuple.sort_eq_refl_iff_monotone\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54081,
+      "path": "data/train/p86/mathlib-000898-0000-6d89db7fcca1453b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6d89db7fcca1453b829f46247f31a040077fd06adeffe556231fdefdedf78796"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000899.json b/manifests/batches/mathlib/000899.json
index 3976b8b8ac9094af08d1bf25db5c328dc4fcb6e8..d6512e002e2af571d3b96cead32f5dbd34dd6b2b 100644
--- a/manifests/batches/mathlib/000899.json
+++ b/manifests/batches/mathlib/000899.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000899",
   "batch_fingerprint": "bbffeebc68c0b713391740444b60e4d1df44d5434e5144ec7ed46ed2762a8ef8",
   "evidence": {
@@ -2522,15 +2521,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000899-0000-de895e90176e646b.parquet",
-      "sha256": "de895e90176e646b5c7a30f7d48493a9fec8a581aa451aba7d5f08856b34ff77",
-      "bytes": 52360,
-      "rows": 4,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FinEnum.nodup_toList",
     "mathlib:FinEnum.pi.mem_enum"
@@ -2538,5 +2529,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/FinEnum.lean\",null,null,\"FinEnum.nodup_toList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/FinEnum.lean\",null,null,\"FinEnum.pi.mem_enum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52360,
+      "path": "data/train/pda/mathlib-000899-0000-de895e90176e646b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "de895e90176e646b5c7a30f7d48493a9fec8a581aa451aba7d5f08856b34ff77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000900.json b/manifests/batches/mathlib/000900.json
index 3e3e9e8addfc5bed102e1609862d8544d1de18b3..0ad1a5a08957421a536b4a6c8aa29721de363ff2 100644
--- a/manifests/batches/mathlib/000900.json
+++ b/manifests/batches/mathlib/000900.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000900",
   "batch_fingerprint": "26d6b02d507c0b095e6a51f006f3b79870bcca0d3c398feb67ce78342ec26fc4",
   "evidence": {
@@ -515,15 +514,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000900-0000-cab5405d8cce6589.parquet",
-      "sha256": "cab5405d8cce65896d74f6c9b8c9c975f0d9e215645cc42005a0755a362d4d1a",
-      "bytes": 68316,
-      "rows": 32,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finite.card_eq",
     "mathlib:Finite.card_eq_zero_iff",
@@ -553,5 +544,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finite/Card.lean\",null,null,\"PartENat.card_eq_coe_natCard\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finite/Card.lean\",null,null,\"Set.Finite.card_lt_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finite/Card.lean\",null,null,\"Set.Finite.equiv_image_eq_iff_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68316,
+      "path": "data/train/pf2/mathlib-000900-0000-cab5405d8cce6589.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "cab5405d8cce65896d74f6c9b8c9c975f0d9e215645cc42005a0755a362d4d1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000901.json b/manifests/batches/mathlib/000901.json
index 8b05de9c1888a5e08d72a6be2a997b5eae87eb57..ce2302bf4eb62c95bb877b1fdff801501772cd16 100644
--- a/manifests/batches/mathlib/000901.json
+++ b/manifests/batches/mathlib/000901.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000901",
   "batch_fingerprint": "70992668f7713fbf9314471c4fbd3fee882c3eab72108208b939ee6f185241f3",
   "evidence": {
@@ -327,7 +326,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000902.json b/manifests/batches/mathlib/000902.json
index 371e99db7ffac875b372b189acf07627a7924b08..85a78fecc4479e32dc605d3218a46cca3fa4a3f0 100644
--- a/manifests/batches/mathlib/000902.json
+++ b/manifests/batches/mathlib/000902.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000902",
   "batch_fingerprint": "fc7c02bafe333264f3ef53b6f2341fe0da28269c547603769e3c3fc7c1cd0395",
   "evidence": {
@@ -9901,29 +9900,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000902-0000-29c95d3754634945.parquet",
-      "sha256": "29c95d3754634945ce457ff52cfbee5d777062d153902f5531f1981e753658ef",
-      "bytes": 743280,
-      "rows": 291,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000902-0000-d49822b14d0265d9.parquet",
-      "sha256": "d49822b14d0265d9889d1fb1c27ec5a64dd81c1ca6059a3888fd8c7dfbea1ea7",
-      "bytes": 68727,
-      "rows": 15,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000902-0000-42d5582fe4d3b28b.parquet",
-      "sha256": "42d5582fe4d3b28b818b848a0f3baac756d9cc4e8932ac8a547ef248acf7d46f",
-      "bytes": 74421,
-      "rows": 28,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AList.toFinmap_eq",
     "mathlib:Finmap.disjoint_union_left",
@@ -10403,5 +10380,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Basic.lean\",null,null,\"Multiset.toFinset_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Basic.lean\",null,null,\"Multiset.toFinset_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Basic.lean\",null,null,\"coe_notMemRangeEquiv_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 743280,
+      "path": "data/train/p1b/mathlib-000902-0000-29c95d3754634945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 291,
+      "sha256": "29c95d3754634945ce457ff52cfbee5d777062d153902f5531f1981e753658ef"
+    },
+    {
+      "bytes": 68727,
+      "path": "data/dev/p1b/mathlib-000902-0000-d49822b14d0265d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d49822b14d0265d9889d1fb1c27ec5a64dd81c1ca6059a3888fd8c7dfbea1ea7"
+    },
+    {
+      "bytes": 74421,
+      "path": "data/internal_test/p1b/mathlib-000902-0000-42d5582fe4d3b28b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "42d5582fe4d3b28b818b848a0f3baac756d9cc4e8932ac8a547ef248acf7d46f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000903.json b/manifests/batches/mathlib/000903.json
index 0783d8499ac299ecf16367981ba23ea9944f5ce9..47b9691070da0882bf69fd59d71da1b7245f8c97 100644
--- a/manifests/batches/mathlib/000903.json
+++ b/manifests/batches/mathlib/000903.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000903",
   "batch_fingerprint": "227ba6e540f081e70a1fa6e1b6ab3b3b6536de37c51fe6f70e8751009af01b76",
   "evidence": {
@@ -3167,29 +3166,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000903-0000-49dc0049162ad44e.parquet",
-      "sha256": "49dc0049162ad44e2d28975c1f8f9cacdd5f96884b375407c5aff0d83ac100a5",
-      "bytes": 166572,
-      "rows": 53,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000903-0000-b2845da1a020ce93.parquet",
-      "sha256": "b2845da1a020ce93d486a33cfd909cdf3ebdc98113a63fc174d85f0db47c7062",
-      "bytes": 38386,
-      "rows": 2,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000903-0000-41cf4b26a4cf8c43.parquet",
-      "sha256": "41cf4b26a4cf8c43e4123787d1ca1853d5d00e4a54cc1414d7ffebf0f3c43cc7",
-      "bytes": 53964,
-      "rows": 6,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.card_bij'",
     "mathlib:Finset.card_eq_one",
@@ -3275,5 +3252,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Card.lean\",null,null,\"Finset.strongInduction_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Card.lean\",null,null,\"Finset.two_lt_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Card.lean\",null,null,\"Multiset.toFinset_card_eq_one_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166572,
+      "path": "data/train/p5e/mathlib-000903-0000-49dc0049162ad44e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "49dc0049162ad44e2d28975c1f8f9cacdd5f96884b375407c5aff0d83ac100a5"
+    },
+    {
+      "bytes": 38386,
+      "path": "data/dev/p5e/mathlib-000903-0000-b2845da1a020ce93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b2845da1a020ce93d486a33cfd909cdf3ebdc98113a63fc174d85f0db47c7062"
+    },
+    {
+      "bytes": 53964,
+      "path": "data/internal_test/p5e/mathlib-000903-0000-41cf4b26a4cf8c43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "41cf4b26a4cf8c43e4123787d1ca1853d5d00e4a54cc1414d7ffebf0f3c43cc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000904.json b/manifests/batches/mathlib/000904.json
index 24fe895079ae9a08eef066cb22b8918be3c31625..a0c8b00cd39296c00f2a29bb474478cdcfacc7a1 100644
--- a/manifests/batches/mathlib/000904.json
+++ b/manifests/batches/mathlib/000904.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000904",
   "batch_fingerprint": "94faa2351b1ee9004adcc91fa89f3caf6146c88a83747affed72e32439d95c3e",
   "evidence": {
@@ -1199,29 +1198,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000904-0000-402acb2cd2891f1e.parquet",
-      "sha256": "402acb2cd2891f1ec3d5b285e60fcd6cb64a2d2c1b1ccce007974ce4b946175a",
-      "bytes": 74443,
-      "rows": 19,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000904-0000-6d12f9eb6a28b793.parquet",
-      "sha256": "6d12f9eb6a28b7931f3ee2d5bff2c8897ae44dadc1769e57b81415e3b13d9004",
-      "bytes": 55172,
-      "rows": 6,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000904-0000-b4ecb7a01149324c.parquet",
-      "sha256": "b4ecb7a01149324cbfd21c9037f959e44efba07709722681333eea9da940deec",
-      "bytes": 55946,
-      "rows": 7,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.fold_congr",
     "mathlib:Finset.fold_cons",
@@ -1249,5 +1226,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Fold.lean\",null,null,\"Finset.fold_min_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Fold.lean\",null,null,\"Finset.fold_op_distrib\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Fold.lean\",null,null,\"Finset.fold_union_inter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74443,
+      "path": "data/train/p78/mathlib-000904-0000-402acb2cd2891f1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "402acb2cd2891f1ec3d5b285e60fcd6cb64a2d2c1b1ccce007974ce4b946175a"
+    },
+    {
+      "bytes": 55172,
+      "path": "data/dev/p78/mathlib-000904-0000-6d12f9eb6a28b793.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6d12f9eb6a28b7931f3ee2d5bff2c8897ae44dadc1769e57b81415e3b13d9004"
+    },
+    {
+      "bytes": 55946,
+      "path": "data/internal_test/p78/mathlib-000904-0000-b4ecb7a01149324c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b4ecb7a01149324cbfd21c9037f959e44efba07709722681333eea9da940deec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000905.json b/manifests/batches/mathlib/000905.json
index 46cd6de5a1da209463865c4730b5e812d024872d..d2ec43e5de560b663aa6ef728626d2a66c187e9e 100644
--- a/manifests/batches/mathlib/000905.json
+++ b/manifests/batches/mathlib/000905.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000905",
   "batch_fingerprint": "36cd1408bf627d759c5e70c226ce2addb14c1a7e8dadacf2aef55e5e4571b77b",
   "evidence": {
@@ -602,29 +601,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000905-0000-f1d1e80929ff7e9f.parquet",
-      "sha256": "f1d1e80929ff7e9f98a4e9745c9c2e58a10c79f0e0823adc1d432d17809d1f6c",
-      "bytes": 71823,
-      "rows": 25,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000905-0000-556ccfe3a3cd6c1f.parquet",
-      "sha256": "556ccfe3a3cd6c1f8f12a34f391ec1ddadb5da849180feae8fde267727f70d55",
-      "bytes": 51895,
-      "rows": 2,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000905-0000-9d2bdad656d91082.parquet",
-      "sha256": "9d2bdad656d91082eb8191db73a73c94f6e7f89c601be84358de937769220019",
-      "bytes": 42547,
-      "rows": 2,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CovBy.card_multiset",
     "mathlib:CovBy.exists_finset_erase",
@@ -666,5 +643,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Grade.lean\",null,null,\"Multiset.covBy_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Grade.lean\",null,null,\"Multiset.covBy_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Grade.lean\",null,null,\"Multiset.isAtom_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71823,
+      "path": "data/train/p3f/mathlib-000905-0000-f1d1e80929ff7e9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f1d1e80929ff7e9f98a4e9745c9c2e58a10c79f0e0823adc1d432d17809d1f6c"
+    },
+    {
+      "bytes": 51895,
+      "path": "data/dev/p3f/mathlib-000905-0000-556ccfe3a3cd6c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "556ccfe3a3cd6c1f8f12a34f391ec1ddadb5da849180feae8fde267727f70d55"
+    },
+    {
+      "bytes": 42547,
+      "path": "data/internal_test/p3f/mathlib-000905-0000-9d2bdad656d91082.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9d2bdad656d91082eb8191db73a73c94f6e7f89c601be84358de937769220019"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000906.json b/manifests/batches/mathlib/000906.json
index b7427db1a004a17d155976de539d9c7f02d57f4c..bffa20d3e5610732e3996cd22896dfaa7798d4e6 100644
--- a/manifests/batches/mathlib/000906.json
+++ b/manifests/batches/mathlib/000906.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000906",
   "batch_fingerprint": "675e572367e9f8f64444249dd874f393174f15fc0eca800741945956b9ca604e",
   "evidence": {
@@ -2564,29 +2563,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000906-0000-2c5c6aa923814563.parquet",
-      "sha256": "2c5c6aa923814563a89ff33d973947d6978970494eadc9ae4013bfa5c6f0d92e",
-      "bytes": 244897,
-      "rows": 83,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000906-0000-77a161e92496b918.parquet",
-      "sha256": "77a161e92496b918bd806559fc7b4c4674e4183de4f186ca36fc88ce3e2380e8",
-      "bytes": 44017,
-      "rows": 3,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000906-0000-71e835899e9fcfa5.parquet",
-      "sha256": "71e835899e9fcfa5e14655878052c48b0b1f76e57cac1bb6f64970a286db2551",
-      "bytes": 46202,
-      "rows": 2,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.finsetCongr_refl",
     "mathlib:Equiv.finsetCongr_trans",
@@ -2710,5 +2687,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Interval.lean\",null,null,\"Finset.card_Ioo_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Interval.lean\",null,null,\"Finset.monotone_iff_forall_le_insert\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Interval.lean\",null,null,\"Finset.strictMono_iff_forall_lt_insert\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244897,
+      "path": "data/train/p55/mathlib-000906-0000-2c5c6aa923814563.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 83,
+      "sha256": "2c5c6aa923814563a89ff33d973947d6978970494eadc9ae4013bfa5c6f0d92e"
+    },
+    {
+      "bytes": 44017,
+      "path": "data/dev/p55/mathlib-000906-0000-77a161e92496b918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "77a161e92496b918bd806559fc7b4c4674e4183de4f186ca36fc88ce3e2380e8"
+    },
+    {
+      "bytes": 46202,
+      "path": "data/internal_test/p55/mathlib-000906-0000-71e835899e9fcfa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "71e835899e9fcfa5e14655878052c48b0b1f76e57cac1bb6f64970a286db2551"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000907.json b/manifests/batches/mathlib/000907.json
index f11d8762a1f70d9fe215d326ab96af51dc5ec485..a2b861f182a6593eb22d64e75d97886b8ae9a915 100644
--- a/manifests/batches/mathlib/000907.json
+++ b/manifests/batches/mathlib/000907.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000907",
   "batch_fingerprint": "5dbbe6d032e1f9b740bbba807eb813832e7ed10dba34eae110f148959e147be8",
   "evidence": {
@@ -7521,29 +7520,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000907-0000-c282ea5c0a475cb2.parquet",
-      "sha256": "c282ea5c0a475cb28a54b195b5a96a44364a399ea8a663dad39ac9d6a51645c0",
-      "bytes": 424857,
-      "rows": 134,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000907-0000-545793d153ce01f2.parquet",
-      "sha256": "545793d153ce01f2b71a6b1d77c27cef7f576b1b301e00c70c92c7ecaf563fa2",
-      "bytes": 65813,
-      "rows": 9,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000907-0000-f01c76efe313b6c1.parquet",
-      "sha256": "f01c76efe313b6c1e8335a5295df0bcba3113c61b74ccf28594c03ec9f046aff",
-      "bytes": 65564,
-      "rows": 8,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.coe_sup'",
     "mathlib:Finset.coe_sup_of_nonempty",
@@ -7715,5 +7692,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/MulAntidiagonal.lean\",null,null,\"Finset.swap_mem_mulAntidiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/MulAntidiagonal.lean\",null,null,\"Set.IsPWO.mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/MulAntidiagonal.lean\",null,null,\"Set.IsWF.min_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424857,
+      "path": "data/train/pc1/mathlib-000907-0000-c282ea5c0a475cb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 134,
+      "sha256": "c282ea5c0a475cb28a54b195b5a96a44364a399ea8a663dad39ac9d6a51645c0"
+    },
+    {
+      "bytes": 65813,
+      "path": "data/dev/pc1/mathlib-000907-0000-545793d153ce01f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "545793d153ce01f2b71a6b1d77c27cef7f576b1b301e00c70c92c7ecaf563fa2"
+    },
+    {
+      "bytes": 65564,
+      "path": "data/internal_test/pc1/mathlib-000907-0000-f01c76efe313b6c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f01c76efe313b6c1e8335a5295df0bcba3113c61b74ccf28594c03ec9f046aff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000908.json b/manifests/batches/mathlib/000908.json
index 469ea306b297d6347e1952ed4eec9dee7afde7e3..2f4320d230e5c1879ff334fdca06d3d26a302ab1 100644
--- a/manifests/batches/mathlib/000908.json
+++ b/manifests/batches/mathlib/000908.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000908",
   "batch_fingerprint": "9a0309a8a0db9d275982f890ac245e423b8e4e0348bf91ee20129f1367d0df1d",
   "evidence": {
@@ -1329,29 +1328,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000908-0000-70b7f2bfd1894161.parquet",
-      "sha256": "70b7f2bfd1894161309bdc42592ecd2830d56f9124438e19dc9712abe264135d",
-      "bytes": 405477,
-      "rows": 108,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000908-0000-a0bc64ec7b3613e1.parquet",
-      "sha256": "a0bc64ec7b3613e175a5fd30ce16b09b7538064b671ffe75df0812b9fb2c0d32",
-      "bytes": 51829,
-      "rows": 4,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000908-0000-2fcf83a7b05463eb.parquet",
-      "sha256": "2fcf83a7b05463eb916b4cbb96ed51dd3adaec41cc80ee5e5b7e24ab2b64db44",
-      "bytes": 48532,
-      "rows": 8,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Nat.antidiagonal_eq_image",
     "mathlib:Finset.Nat.antidiagonal_eq_image'",
@@ -1499,5 +1476,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NatAntidiagonal.lean\",null,null,\"Finset.Nat.antidiagonal_eq_image'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NatAntidiagonal.lean\",null,null,\"Finset.Nat.antidiagonal_eq_map'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NatAntidiagonal.lean\",null,null,\"Finset.Nat.card_antidiagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 405477,
+      "path": "data/train/pe6/mathlib-000908-0000-70b7f2bfd1894161.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "70b7f2bfd1894161309bdc42592ecd2830d56f9124438e19dc9712abe264135d"
+    },
+    {
+      "bytes": 51829,
+      "path": "data/dev/pe6/mathlib-000908-0000-a0bc64ec7b3613e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a0bc64ec7b3613e175a5fd30ce16b09b7538064b671ffe75df0812b9fb2c0d32"
+    },
+    {
+      "bytes": 48532,
+      "path": "data/internal_test/pe6/mathlib-000908-0000-2fcf83a7b05463eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2fcf83a7b05463eb916b4cbb96ed51dd3adaec41cc80ee5e5b7e24ab2b64db44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000909.json b/manifests/batches/mathlib/000909.json
index 5a0019e2fb58dc9fcc8b5ccc6ace443003f90c11..7167392f005a26969e869dacee888016a5f2eaad 100644
--- a/manifests/batches/mathlib/000909.json
+++ b/manifests/batches/mathlib/000909.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000909",
   "batch_fingerprint": "b512f8e89716d9dcc7868558b430326fd8413388ef1c2745b0db587ebb7613fb",
   "evidence": {
@@ -1326,29 +1325,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000909-0000-36f2db7679f9fb74.parquet",
-      "sha256": "36f2db7679f9fb74a8995f07ecec5a23b3416ce5bf85c51fb0e0eb4797e913e3",
-      "bytes": 180406,
-      "rows": 45,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000909-0000-b1ed7a698ddd4c29.parquet",
-      "sha256": "b1ed7a698ddd4c2929d42b5001965a1943055b401fbbe2c120e6fcf6b25bb8b0",
-      "bytes": 56372,
-      "rows": 4,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000909-0000-54a4520b0fd44557.parquet",
-      "sha256": "54a4520b0fd445574823a067636a1e6685484de13413337e53649544d6897bc4",
-      "bytes": 56585,
-      "rows": 3,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.noncommProd_cons",
     "mathlib:Finset.noncommProd_cons'",
@@ -1400,5 +1377,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NoncommProd.lean\",null,null,\"Multiset.noncommProd_induction\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NoncommProd.lean\",null,null,\"Multiset.noncommProd_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/NoncommProd.lean\",null,null,\"Multiset.noncommProd_map_aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180406,
+      "path": "data/train/p23/mathlib-000909-0000-36f2db7679f9fb74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "36f2db7679f9fb74a8995f07ecec5a23b3416ce5bf85c51fb0e0eb4797e913e3"
+    },
+    {
+      "bytes": 56372,
+      "path": "data/dev/p23/mathlib-000909-0000-b1ed7a698ddd4c29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b1ed7a698ddd4c2929d42b5001965a1943055b401fbbe2c120e6fcf6b25bb8b0"
+    },
+    {
+      "bytes": 56585,
+      "path": "data/internal_test/p23/mathlib-000909-0000-54a4520b0fd44557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "54a4520b0fd445574823a067636a1e6685484de13413337e53649544d6897bc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000910.json b/manifests/batches/mathlib/000910.json
index 5fd8be9c3dbbe98688a4a4f2cc0fa6f685549968..886684411c521718f3894c9cd7e3f59075cc1ff3 100644
--- a/manifests/batches/mathlib/000910.json
+++ b/manifests/batches/mathlib/000910.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000910",
   "batch_fingerprint": "ad227fc0adb0eef85183cd1c234d90138af6e0f428f96917509919df30310e68",
   "evidence": {
@@ -173,22 +172,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000910-0000-5e9d6cc03da6ef5a.parquet",
-      "sha256": "5e9d6cc03da6ef5ab841f799f9446dd2f55cab72097890c8c5ba405601feff83",
-      "bytes": 61703,
-      "rows": 22,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000910-0000-a8d3dd2332165a83.parquet",
-      "sha256": "a8d3dd2332165a8342d51f2c4091727e2f544ae19a4f75541badc2bbf5c8202d",
-      "bytes": 35566,
-      "rows": 5,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Directed.finset_le",
     "mathlib:Finset.card_insertNone",
@@ -232,5 +216,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Option.lean\",null,null,\"Option.card_toFinset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Option.lean\",null,null,\"Option.mem_toFinset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Order.lean\",null,null,\"Directed.finset_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61703,
+      "path": "data/train/p52/mathlib-000910-0000-5e9d6cc03da6ef5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5e9d6cc03da6ef5ab841f799f9446dd2f55cab72097890c8c5ba405601feff83"
+    },
+    {
+      "bytes": 35566,
+      "path": "data/internal_test/p52/mathlib-000910-0000-a8d3dd2332165a83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a8d3dd2332165a8342d51f2c4091727e2f544ae19a4f75541badc2bbf5c8202d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000911.json b/manifests/batches/mathlib/000911.json
index 699d85c23117aae156b4425c8505c8cc6e90b754..c5217dc7204f48a8113d1871f54e1bd98566814f 100644
--- a/manifests/batches/mathlib/000911.json
+++ b/manifests/batches/mathlib/000911.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000911",
   "batch_fingerprint": "f72dd868dbd27eeced456064cee721c3c83a230b2854fad0856f267bb4057035",
   "evidence": {
@@ -267,29 +266,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000911-0000-9cf4d8942025c761.parquet",
-      "sha256": "9cf4d8942025c7612404da871aaaaeac6aa1f09a263a0a7a287572322939ee1e",
-      "bytes": 58854,
-      "rows": 15,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/mathlib-000911-0000-94c2e5f0b01f5598.parquet",
-      "sha256": "94c2e5f0b01f5598384552fabf332a79f5dbfa499ff6deadfc969396a21092e9",
-      "bytes": 49216,
-      "rows": 3,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/mathlib-000911-0000-ef66795d4bd0aa1a.parquet",
-      "sha256": "ef66795d4bd0aa1a34e0dfcd42dd5adad82619a32f4870494299f7c3de1e5e77",
-      "bytes": 36374,
-      "rows": 2,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.mem_pimage",
     "mathlib:Finset.pairwiseDisjoint_range_singleton",
@@ -319,5 +296,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pairwise.lean\",null,null,\"Finset.pairwiseDisjoint_range_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pairwise.lean\",null,null,\"List.pairwise_iff_coe_toFinset_pairwise\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pairwise.lean\",null,null,\"List.pairwise_of_coe_toFinset_pairwise\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58854,
+      "path": "data/train/p3a/mathlib-000911-0000-9cf4d8942025c761.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9cf4d8942025c7612404da871aaaaeac6aa1f09a263a0a7a287572322939ee1e"
+    },
+    {
+      "bytes": 49216,
+      "path": "data/dev/p3a/mathlib-000911-0000-94c2e5f0b01f5598.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "94c2e5f0b01f5598384552fabf332a79f5dbfa499ff6deadfc969396a21092e9"
+    },
+    {
+      "bytes": 36374,
+      "path": "data/internal_test/p3a/mathlib-000911-0000-ef66795d4bd0aa1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ef66795d4bd0aa1a34e0dfcd42dd5adad82619a32f4870494299f7c3de1e5e77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000912.json b/manifests/batches/mathlib/000912.json
index 32f27d653a8b5b7e43a737ea57d385ea32053445..071ea84812e90a777a258f7094f41414138d47dd 100644
--- a/manifests/batches/mathlib/000912.json
+++ b/manifests/batches/mathlib/000912.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000912",
   "batch_fingerprint": "3e648dd190f8d4c3da58e1b69148d110e8f0dd809d490177b2419296556ba026",
   "evidence": {
@@ -568,15 +567,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000912-0000-49e8c2a7c8931ad8.parquet",
-      "sha256": "49e8c2a7c8931ad87e09ebb84d9d281d7ed237a70bd971b2a983f6c3c6fe2bf8",
-      "bytes": 63487,
-      "rows": 9,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.pi_insert",
     "mathlib:Finset.pi_nonempty"
@@ -584,5 +575,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pi.lean\",null,null,\"Finset.pi_insert\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pi.lean\",null,null,\"Finset.pi_nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63487,
+      "path": "data/train/p20/mathlib-000912-0000-49e8c2a7c8931ad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "49e8c2a7c8931ad87e09ebb84d9d281d7ed237a70bd971b2a983f6c3c6fe2bf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000913.json b/manifests/batches/mathlib/000913.json
index 29c12a3561288afea80e3741d17ce441fc7f4476..bbba086929aba2975126f9d94cdf8acca9f21639 100644
--- a/manifests/batches/mathlib/000913.json
+++ b/manifests/batches/mathlib/000913.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000913",
   "batch_fingerprint": "968f6f3297b3ba1662ffeafdeba3fbb32400e0226c54591c1f75bd4d6971cea6",
   "evidence": {
@@ -6412,29 +6411,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000913-0000-3c6e0a3a26b13db0.parquet",
-      "sha256": "3c6e0a3a26b13db0421ecd6db1f5524e4c543d9cdb8627c7c12aafd83fc69001",
-      "bytes": 254260,
-      "rows": 81,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000913-0000-7dc145fc615049f1.parquet",
-      "sha256": "7dc145fc615049f170f737a1dcaa1b7eb85991fd48f4128d62c4129e2239e083",
-      "bytes": 36952,
-      "rows": 2,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000913-0000-4e03781839db55fb.parquet",
-      "sha256": "4e03781839db55fbdfd23ef3a07bc2cf5fbebbf87766fa1e5810647acf9c3ffe",
-      "bytes": 72196,
-      "rows": 13,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Nonempty.div_zero",
     "mathlib:Finset.Nonempty.mul_zero",
@@ -6574,5 +6551,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pointwise.lean\",null,null,\"Finset.zero_smul_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pointwise.lean\",null,null,\"Set.card_div_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Pointwise.lean\",null,null,\"Set.card_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254260,
+      "path": "data/train/p29/mathlib-000913-0000-3c6e0a3a26b13db0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "3c6e0a3a26b13db0421ecd6db1f5524e4c543d9cdb8627c7c12aafd83fc69001"
+    },
+    {
+      "bytes": 36952,
+      "path": "data/dev/p29/mathlib-000913-0000-7dc145fc615049f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7dc145fc615049f170f737a1dcaa1b7eb85991fd48f4128d62c4129e2239e083"
+    },
+    {
+      "bytes": 72196,
+      "path": "data/internal_test/p29/mathlib-000913-0000-4e03781839db55fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4e03781839db55fbdfd23ef3a07bc2cf5fbebbf87766fa1e5810647acf9c3ffe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000914.json b/manifests/batches/mathlib/000914.json
index 5d7f7db1141b1a3e3f949e962706658243d0ecba..22158ebce11da8405dcc202e70c25de2526bfd70 100644
--- a/manifests/batches/mathlib/000914.json
+++ b/manifests/batches/mathlib/000914.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000914",
   "batch_fingerprint": "3bccbc3a986c1635c3d0d85082865025bb039907e222a3f51f7e9aa9260dafbd",
   "evidence": {
@@ -983,29 +982,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000914-0000-8972007590f97771.parquet",
-      "sha256": "8972007590f97771e7f7077a816a1d02918d1c1a48e0a94049aa888227f4eefe",
-      "bytes": 119873,
-      "rows": 33,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000914-0000-f64dfe88503d2cda.parquet",
-      "sha256": "f64dfe88503d2cdad5f72ac5a09f2f23dcc14141b63e48867f9f00a6c4138d21",
-      "bytes": 45734,
-      "rows": 3,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000914-0000-6a491a8c8419bfc0.parquet",
-      "sha256": "6a491a8c8419bfc0b1752a54621003dda50b97bf3709e3741e5e63241ad8f1b5",
-      "bytes": 43997,
-      "rows": 4,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Icc_mul_Icc_subset'",
     "mathlib:Finset.Icc_mul_Ico_subset'",
@@ -1061,5 +1038,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Powerset.lean\",null,null,\"Finset.powersetCard_succ_insert\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Powerset.lean\",null,null,\"Finset.powerset_card_biUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Powerset.lean\",null,null,\"Finset.powerset_eq_singleton_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119873,
+      "path": "data/train/p59/mathlib-000914-0000-8972007590f97771.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "8972007590f97771e7f7077a816a1d02918d1c1a48e0a94049aa888227f4eefe"
+    },
+    {
+      "bytes": 45734,
+      "path": "data/dev/p59/mathlib-000914-0000-f64dfe88503d2cda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f64dfe88503d2cdad5f72ac5a09f2f23dcc14141b63e48867f9f00a6c4138d21"
+    },
+    {
+      "bytes": 43997,
+      "path": "data/internal_test/p59/mathlib-000914-0000-6a491a8c8419bfc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a491a8c8419bfc0b1752a54621003dda50b97bf3709e3741e5e63241ad8f1b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000915.json b/manifests/batches/mathlib/000915.json
index fb3eb05673b5cacc8658b9abe493e5ad289d8395..04b1f990742be44fca947ab0510523c718f49ec3 100644
--- a/manifests/batches/mathlib/000915.json
+++ b/manifests/batches/mathlib/000915.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000915",
   "batch_fingerprint": "60f49b1027c158122aac3721058b3762aa604a9891d86c053419b53fd747c6fd",
   "evidence": {
@@ -1132,29 +1131,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000915-0000-e04e52b95a3a7326.parquet",
-      "sha256": "e04e52b95a3a73269b6ccead49b105f2b20620ad74a6fe2a6b48c23a932d6799",
-      "bytes": 157526,
-      "rows": 49,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000915-0000-8be062bad0b1f204.parquet",
-      "sha256": "8be062bad0b1f204d3f24c2f10f18ca27fa2f815335c238025110c04c2e1a92e",
-      "bytes": 50406,
-      "rows": 4,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000915-0000-70fbbf81b5fd69bb.parquet",
-      "sha256": "70fbbf81b5fd69bb283cacf0d8bd15f26ead251945fb238530ec75c7f5f4c189",
-      "bytes": 61462,
-      "rows": 9,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.diag_insert",
     "mathlib:Finset.diag_inter",
@@ -1244,5 +1221,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Prod.lean\",null,null,\"Finset.subset_product_image_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Prod.lean\",null,null,\"Finset.subset_product_image_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Prod.lean\",null,null,\"Finset.union_product\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157526,
+      "path": "data/train/p45/mathlib-000915-0000-e04e52b95a3a7326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "e04e52b95a3a73269b6ccead49b105f2b20620ad74a6fe2a6b48c23a932d6799"
+    },
+    {
+      "bytes": 50406,
+      "path": "data/dev/p45/mathlib-000915-0000-8be062bad0b1f204.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8be062bad0b1f204d3f24c2f10f18ca27fa2f815335c238025110c04c2e1a92e"
+    },
+    {
+      "bytes": 61462,
+      "path": "data/internal_test/p45/mathlib-000915-0000-70fbbf81b5fd69bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "70fbbf81b5fd69bb283cacf0d8bd15f26ead251945fb238530ec75c7f5f4c189"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000916.json b/manifests/batches/mathlib/000916.json
index 5337ebc928025ebe72860b7fcfdb9d7b5f8b826e..b4bb63c077e06030703967389bb2add9cb2a2f64 100644
--- a/manifests/batches/mathlib/000916.json
+++ b/manifests/batches/mathlib/000916.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000916",
   "batch_fingerprint": "418f5f01263dcf18431f6f4b8ad02325339136596a2a122e4d5d1054a233b643",
   "evidence": {
@@ -834,29 +833,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000916-0000-28bc5991c0d4af9f.parquet",
-      "sha256": "28bc5991c0d4af9f07a5db575f70d3fa3836118567db7bebcfe522cc09910cf2",
-      "bytes": 104767,
-      "rows": 28,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000916-0000-ee18f51d6b62b1c2.parquet",
-      "sha256": "ee18f51d6b62b1c2e3c540d2a4bfaed6447668bbfbd3d640753c11cb41174e50",
-      "bytes": 59542,
-      "rows": 5,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000916-0000-804e1948db604d89.parquet",
-      "sha256": "804e1948db604d895270c70683c662333b5a7373afd5b86bc906fb0530a89dd1",
-      "bytes": 52735,
-      "rows": 4,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.card_sigmaLift",
     "mathlib:Finset.mk_mem_sigmaLift",
@@ -896,5 +873,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Slice.lean\",null,null,\"Set.sized_iUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Slice.lean\",null,null,\"Set.sized_iUnion\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Slice.lean\",null,null,\"Set.sized_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104767,
+      "path": "data/train/p99/mathlib-000916-0000-28bc5991c0d4af9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "28bc5991c0d4af9f07a5db575f70d3fa3836118567db7bebcfe522cc09910cf2"
+    },
+    {
+      "bytes": 59542,
+      "path": "data/dev/p99/mathlib-000916-0000-ee18f51d6b62b1c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ee18f51d6b62b1c2e3c540d2a4bfaed6447668bbfbd3d640753c11cb41174e50"
+    },
+    {
+      "bytes": 52735,
+      "path": "data/internal_test/p99/mathlib-000916-0000-804e1948db604d89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "804e1948db604d895270c70683c662333b5a7373afd5b86bc906fb0530a89dd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000917.json b/manifests/batches/mathlib/000917.json
index 44d8ae9b3e75fc83c6ad9398d5dc53fd753787a4..727b38790d87125f6e544b4ce1ffcac86f6702df 100644
--- a/manifests/batches/mathlib/000917.json
+++ b/manifests/batches/mathlib/000917.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000917",
   "batch_fingerprint": "bb7e5f71377d38482d05ec634bf02858609c79ad52dbcf48112fbf1f85d8d7a1",
   "evidence": {
@@ -838,29 +837,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000917-0000-569cb86c9656586b.parquet",
-      "sha256": "569cb86c9656586b69b5b3fa1c39acd70c0759a1d97ca7f231f17442e3a8c476",
-      "bytes": 61266,
-      "rows": 18,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000917-0000-d0bf74e409ddd027.parquet",
-      "sha256": "d0bf74e409ddd0271b294548d51d0c5304302eedfef296ebd91aa7e91e85e821",
-      "bytes": 46667,
-      "rows": 1,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000917-0000-24d27fddb84abed5.parquet",
-      "sha256": "24d27fddb84abed598ec4e19cb6f7543b84fa55de5ed60a8184fa985c7c83fe8",
-      "bytes": 62190,
-      "rows": 3,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.sort_univ",
     "mathlib:Finset.disjSum_eq_empty",
@@ -894,5 +871,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sort.lean\",null,null,\"Finset.sorted_zero_eq_min'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sum.lean\",null,null,\"Finset.disjSum_eq_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sum.lean\",null,null,\"Finset.disjoint_map_inl_map_inr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61266,
+      "path": "data/train/pfd/mathlib-000917-0000-569cb86c9656586b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "569cb86c9656586b69b5b3fa1c39acd70c0759a1d97ca7f231f17442e3a8c476"
+    },
+    {
+      "bytes": 46667,
+      "path": "data/dev/pfd/mathlib-000917-0000-d0bf74e409ddd027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d0bf74e409ddd0271b294548d51d0c5304302eedfef296ebd91aa7e91e85e821"
+    },
+    {
+      "bytes": 62190,
+      "path": "data/internal_test/pfd/mathlib-000917-0000-24d27fddb84abed5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "24d27fddb84abed598ec4e19cb6f7543b84fa55de5ed60a8184fa985c7c83fe8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000918.json b/manifests/batches/mathlib/000918.json
index 989014679f94b3a33c242aace5c773f09a1124f0..918c73195cca3e6803601b84a42a289cebd189e4 100644
--- a/manifests/batches/mathlib/000918.json
+++ b/manifests/batches/mathlib/000918.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000918",
   "batch_fingerprint": "e103270e6f59ca4c088f02c5cd67e9e49aeef6fe8f04aa869c147b7270b5e1bd",
   "evidence": {
@@ -3596,29 +3595,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000918-0000-1c097136d3fe55a2.parquet",
-      "sha256": "1c097136d3fe55a224360499ebaaeccde436b5de83afbd3560abde488dc654b4",
-      "bytes": 228051,
-      "rows": 76,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000918-0000-74d7d5ba2416d942.parquet",
-      "sha256": "74d7d5ba2416d942bf320e7344f70052b2b5e111adad401110930bd48246ad38",
-      "bytes": 42554,
-      "rows": 1,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000918-0000-c6a66b6a1d2ad393.parquet",
-      "sha256": "c6a66b6a1d2ad393e73f3e6401940713a386e3c1fc80561fba224bdd1fac5f66",
-      "bytes": 50333,
-      "rows": 7,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Nonempty.of_disjSups_left",
     "mathlib:Finset.Nonempty.of_disjSups_right",
@@ -3732,5 +3709,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sym.lean\",null,null,\"Finset.sym2_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sym.lean\",null,null,\"Finset.sym_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Sym.lean\",null,null,\"Finset.sym_nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228051,
+      "path": "data/train/p80/mathlib-000918-0000-1c097136d3fe55a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "1c097136d3fe55a224360499ebaaeccde436b5de83afbd3560abde488dc654b4"
+    },
+    {
+      "bytes": 42554,
+      "path": "data/dev/p80/mathlib-000918-0000-74d7d5ba2416d942.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "74d7d5ba2416d942bf320e7344f70052b2b5e111adad401110930bd48246ad38"
+    },
+    {
+      "bytes": 50333,
+      "path": "data/internal_test/p80/mathlib-000918-0000-c6a66b6a1d2ad393.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c6a66b6a1d2ad393e73f3e6401940713a386e3c1fc80561fba224bdd1fac5f66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000919.json b/manifests/batches/mathlib/000919.json
index b39b88d5dc15069916549ea29475dcf329e58817..c0ceedace1f55dfe66bbb75b5f6d5a30e4f6b345 100644
--- a/manifests/batches/mathlib/000919.json
+++ b/manifests/batches/mathlib/000919.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000919",
   "batch_fingerprint": "d9405e30ee52cc8def9995dcfb52ef4bdf23066e0bd83d81c9f2cf5b3931fb20",
   "evidence": {
@@ -677,29 +676,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000919-0000-7204db54cb2fb26c.parquet",
-      "sha256": "7204db54cb2fb26c9533b0a50b37f2b1f331ed519b534b8cdde997e9d5193ca3",
-      "bytes": 91959,
-      "rows": 31,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000919-0000-e1817a87851ad7e3.parquet",
-      "sha256": "e1817a87851ad7e396bccc5a43674e157c0eaa55679be166865ac63bfc8e3366",
-      "bytes": 45716,
-      "rows": 3,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000919-0000-e44bf1ff0cbf6a07.parquet",
-      "sha256": "e44bf1ff0cbf6a07aadabe6991f3a52e4e817a21289f680d3e4a4da583e1a20a",
-      "bytes": 72096,
-      "rows": 10,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.biUnion_biUnion",
     "mathlib:Finset.biUnion_congr",
@@ -749,5 +726,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Union.lean\",null,null,\"Finset.mem_biUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Union.lean\",null,null,\"Finset.mem_disjiUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finset/Union.lean\",null,null,\"Finset.pairwiseDisjoint_fibers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91959,
+      "path": "data/train/p5d/mathlib-000919-0000-7204db54cb2fb26c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7204db54cb2fb26c9533b0a50b37f2b1f331ed519b534b8cdde997e9d5193ca3"
+    },
+    {
+      "bytes": 45716,
+      "path": "data/dev/p5d/mathlib-000919-0000-e1817a87851ad7e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e1817a87851ad7e396bccc5a43674e157c0eaa55679be166865ac63bfc8e3366"
+    },
+    {
+      "bytes": 72096,
+      "path": "data/internal_test/p5d/mathlib-000919-0000-e44bf1ff0cbf6a07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e44bf1ff0cbf6a07aadabe6991f3a52e4e817a21289f680d3e4a4da583e1a20a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000920.json b/manifests/batches/mathlib/000920.json
index de65d7ee63eb2751bc0918fc18f24c82bed9c933..4f95d74bb7385e438bacfef4a2597fdecdc2f4e3 100644
--- a/manifests/batches/mathlib/000920.json
+++ b/manifests/batches/mathlib/000920.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000920",
   "batch_fingerprint": "a6997ab8446d2f0d01a106505dd0c4b611566db0f35cacc572dd1251f1beeecd",
   "evidence": {
@@ -575,22 +574,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000920-0000-8c1a406f74726cb2.parquet",
-      "sha256": "8c1a406f74726cb27816a9d838f8a309001a6a51fbc9f065bb9e4b103b7dbb76",
-      "bytes": 56582,
-      "rows": 8,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000920-0000-c1b450dbbbfbea27.parquet",
-      "sha256": "c1b450dbbbfbea27a03422427b1c9bbd6a135e024455d9da41f7d2684b372c7a",
-      "bytes": 35140,
-      "rows": 2,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AList.insert_lookupFinsupp",
     "mathlib:AList.lookupFinsupp_apply",
@@ -604,5 +588,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/AList.lean\",null,null,\"AList.lookupFinsupp_eq_iff_of_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/AList.lean\",null,null,\"AList.lookupFinsupp_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/AList.lean\",null,null,\"Finsupp.toAList_keys_toFinset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56582,
+      "path": "data/train/p4a/mathlib-000920-0000-8c1a406f74726cb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8c1a406f74726cb27816a9d838f8a309001a6a51fbc9f065bb9e4b103b7dbb76"
+    },
+    {
+      "bytes": 35140,
+      "path": "data/internal_test/p4a/mathlib-000920-0000-c1b450dbbbfbea27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c1b450dbbbfbea27a03422427b1c9bbd6a135e024455d9da41f7d2684b372c7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000921.json b/manifests/batches/mathlib/000921.json
index 28b118a6f2d96fe993c0a68b0ccbb4b22fa7404d..f450ebefdef4b4a10ac79ea4191696e272542791 100644
--- a/manifests/batches/mathlib/000921.json
+++ b/manifests/batches/mathlib/000921.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000921",
   "batch_fingerprint": "57d58fe45c5c99f87af7faa0d2bd79c6b234c583a94147680b706af42ce074ba",
   "evidence": {
@@ -4783,29 +4782,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000921-0000-a1afe3e057f17b7f.parquet",
-      "sha256": "a1afe3e057f17b7ff963b3714e67eeff61a2a25369bb947dfb50542db6dafae9",
-      "bytes": 314295,
-      "rows": 77,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000921-0000-352e8f3bdb5e7ff5.parquet",
-      "sha256": "352e8f3bdb5e7ff5d347b221b3ce3172cb183575334876289f7eb55511a7c83e",
-      "bytes": 46504,
-      "rows": 3,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000921-0000-754afbaf47d7b341.parquet",
-      "sha256": "754afbaf47d7b341445dcbcfe09851b5d7edeefae04e96bf2b1466c3275935ab",
-      "bytes": 70737,
-      "rows": 8,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.comapDomain_add",
     "mathlib:Finsupp.comapDomain_smul",
@@ -4907,5 +4884,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Basic.lean\",null,null,\"Finsupp.support_subtypeDomain\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/BigOperators.lean\",null,null,\"Multiset.mem_sup_map_support_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/BigOperators.lean\",null,null,\"Multiset.support_sum_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314295,
+      "path": "data/train/pbf/mathlib-000921-0000-a1afe3e057f17b7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "a1afe3e057f17b7ff963b3714e67eeff61a2a25369bb947dfb50542db6dafae9"
+    },
+    {
+      "bytes": 46504,
+      "path": "data/dev/pbf/mathlib-000921-0000-352e8f3bdb5e7ff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "352e8f3bdb5e7ff5d347b221b3ce3172cb183575334876289f7eb55511a7c83e"
+    },
+    {
+      "bytes": 70737,
+      "path": "data/internal_test/pbf/mathlib-000921-0000-754afbaf47d7b341.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "754afbaf47d7b341445dcbcfe09851b5d7edeefae04e96bf2b1466c3275935ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000922.json b/manifests/batches/mathlib/000922.json
index d7606cc8edafa1636d24b8bce626c7eaa6f9369e..b4288238e422490ec78f95e17161d22c0903a891 100644
--- a/manifests/batches/mathlib/000922.json
+++ b/manifests/batches/mathlib/000922.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000922",
   "batch_fingerprint": "1993ce55fcfee60d4553055fdd2ac64e1bf978913d2b9891fbbe0746075cccdf",
   "evidence": {
@@ -4069,29 +4068,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000922-0000-4e26df778159aef0.parquet",
-      "sha256": "4e26df778159aef0384ba26a48be531fc3ea8c0f81b9d454b8e06b40b6d697fd",
-      "bytes": 204500,
-      "rows": 61,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/mathlib-000922-0000-d0b119234fd64046.parquet",
-      "sha256": "d0b119234fd640465e54ba5a985aa1dec925e9c6241a7c16745d2bcb503b5fbc",
-      "bytes": 49330,
-      "rows": 3,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/mathlib-000922-0000-eff86026bbfc5e0b.parquet",
-      "sha256": "eff86026bbfc5e0b42c815106e37bbf5a3f685ea94c17324a448a32bf8a66833",
-      "bytes": 60167,
-      "rows": 8,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddEquiv.finsuppUnique_symm",
     "mathlib:Finsupp.addHom_ext",
@@ -4189,5 +4166,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Fin.lean\",null,null,\"Finsupp.cons_ne_zero_of_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Fin.lean\",null,null,\"Finsupp.cons_ne_zero_of_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Fin.lean\",null,null,\"Finsupp.tail_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204500,
+      "path": "data/train/p88/mathlib-000922-0000-4e26df778159aef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "4e26df778159aef0384ba26a48be531fc3ea8c0f81b9d454b8e06b40b6d697fd"
+    },
+    {
+      "bytes": 49330,
+      "path": "data/dev/p88/mathlib-000922-0000-d0b119234fd64046.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d0b119234fd640465e54ba5a985aa1dec925e9c6241a7c16745d2bcb503b5fbc"
+    },
+    {
+      "bytes": 60167,
+      "path": "data/internal_test/p88/mathlib-000922-0000-eff86026bbfc5e0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eff86026bbfc5e0b42c815106e37bbf5a3f685ea94c17324a448a32bf8a66833"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000923.json b/manifests/batches/mathlib/000923.json
index 2019308bbea2340fae34ce1a0e39d4166997602f..d5b7187c2e35dc4b0b8cc7dc926fd5af90cc0767 100644
--- a/manifests/batches/mathlib/000923.json
+++ b/manifests/batches/mathlib/000923.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000923",
   "batch_fingerprint": "f3705110375ce90f1442aa20ba891b7572dc553983be5117a2d6160ac2babba0",
   "evidence": {
@@ -263,29 +262,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000923-0000-5e6a0d44695d8648.parquet",
-      "sha256": "5e6a0d44695d86489a16010e3e4abc517c36ff90e5aced75404588a4fecf3aaf",
-      "bytes": 51869,
-      "rows": 7,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/mathlib-000923-0000-0b7552093f27587f.parquet",
-      "sha256": "0b7552093f27587fb23afeb7e64d0c2e38e94dbc6e88a4d2cdf7f1940e84e69e",
-      "bytes": 36964,
-      "rows": 1,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000923-0000-883e26f1839095b3.parquet",
-      "sha256": "883e26f1839095b3d9bb67af2e82a55333402dcd980cae4370b0a31d11e7a9d8",
-      "bytes": 55798,
-      "rows": 4,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.card_Icc",
     "mathlib:Finsupp.card_Iio",
@@ -303,5 +280,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Interval.lean\",null,null,\"Finsupp.card_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Interval.lean\",null,null,\"Finsupp.card_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Interval.lean\",null,null,\"Finsupp.card_uIcc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51869,
+      "path": "data/train/pfb/mathlib-000923-0000-5e6a0d44695d8648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5e6a0d44695d86489a16010e3e4abc517c36ff90e5aced75404588a4fecf3aaf"
+    },
+    {
+      "bytes": 36964,
+      "path": "data/dev/pfb/mathlib-000923-0000-0b7552093f27587f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0b7552093f27587fb23afeb7e64d0c2e38e94dbc6e88a4d2cdf7f1940e84e69e"
+    },
+    {
+      "bytes": 55798,
+      "path": "data/internal_test/pfb/mathlib-000923-0000-883e26f1839095b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "883e26f1839095b3d9bb67af2e82a55333402dcd980cae4370b0a31d11e7a9d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000924.json b/manifests/batches/mathlib/000924.json
index 88f41cae25c4d8163e0ef97702b57529c8668f24..ac78eccbe0b7b6e935515300395b35d3fd50b1d9 100644
--- a/manifests/batches/mathlib/000924.json
+++ b/manifests/batches/mathlib/000924.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000924",
   "batch_fingerprint": "32ebd1f28a8c1045862fef0cf1e3fa42be5283afcc9230afc8d19bb4e4cb6343",
   "evidence": {
@@ -905,15 +904,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000924-0000-2000668c4195f06e.parquet",
-      "sha256": "2000668c4195f06ebcf42411f2ba1b4f6dce5fd7bb24b29827ef5a9e90d449d6",
-      "bytes": 81313,
-      "rows": 23,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.card_toMultiset",
     "mathlib:Finsupp.sum_id_lt_of_lt",
@@ -939,5 +930,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Multiset.lean\",null,null,\"Multiset.toFinsupp_sum_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Multiset.lean\",null,null,\"Multiset.toFinsupp_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Multiset.lean\",null,null,\"Sym.coe_equivNatSumOfFintype_symm_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81313,
+      "path": "data/train/p1d/mathlib-000924-0000-2000668c4195f06e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2000668c4195f06ebcf42411f2ba1b4f6dce5fd7bb24b29827ef5a9e90d449d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000925.json b/manifests/batches/mathlib/000925.json
index 88dbd9a9beddc8cbc4c90c43646eb2119f7c0eb5..75f69c40a27be170aa523e2937cf4fe64b81caab 100644
--- a/manifests/batches/mathlib/000925.json
+++ b/manifests/batches/mathlib/000925.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000925",
   "batch_fingerprint": "d15902f9b9a06292dabcb9ca05586c7585a4d46beead631d211e9866d024ae6f",
   "evidence": {
@@ -657,29 +656,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000925-0000-ad4941017a54291c.parquet",
-      "sha256": "ad4941017a54291c862aec9d33c97caec844e585961951d09549a731063c0fca",
-      "bytes": 87167,
-      "rows": 24,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/mathlib-000925-0000-2cadb4e6bcf07c15.parquet",
-      "sha256": "2cadb4e6bcf07c15640307993623c6caa04a523f402defd7b862de5ed2547d30",
-      "bytes": 63233,
-      "rows": 6,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000925-0000-6c7b9d2039ab77a7.parquet",
-      "sha256": "6c7b9d2039ab77a731008d459c62a5d62eabc5910769e7f046556e804e76b66a",
-      "bytes": 47336,
-      "rows": 4,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.add_eq_zero_iff",
     "mathlib:Finsupp.coe_neLocus",
@@ -729,5 +706,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Order.lean\",null,null,\"Finsupp.support_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Order.lean\",null,null,\"Finsupp.support_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/Order.lean\",null,null,\"Finsupp.support_tsub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87167,
+      "path": "data/train/pb1/mathlib-000925-0000-ad4941017a54291c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ad4941017a54291c862aec9d33c97caec844e585961951d09549a731063c0fca"
+    },
+    {
+      "bytes": 63233,
+      "path": "data/dev/pb1/mathlib-000925-0000-2cadb4e6bcf07c15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2cadb4e6bcf07c15640307993623c6caa04a523f402defd7b862de5ed2547d30"
+    },
+    {
+      "bytes": 47336,
+      "path": "data/internal_test/pb1/mathlib-000925-0000-6c7b9d2039ab77a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6c7b9d2039ab77a731008d459c62a5d62eabc5910769e7f046556e804e76b66a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000926.json b/manifests/batches/mathlib/000926.json
index 7e1386ea83d8efa37cdf3bb4e477a58167e8eae2..94cb042e3c346f18bb232fe74ac26f5867e2157d 100644
--- a/manifests/batches/mathlib/000926.json
+++ b/manifests/batches/mathlib/000926.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000926",
   "batch_fingerprint": "b9c03f24fefd3e285d42d7a76790379298e43f538436ce326e332c09ecbf0663",
   "evidence": {
@@ -233,7 +232,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000927.json b/manifests/batches/mathlib/000927.json
index 203c8f69806603965be4e3fe2fce5e3c4e373897..5ca3556d70d3e4041628a14a65329d3b7da4d3b4 100644
--- a/manifests/batches/mathlib/000927.json
+++ b/manifests/batches/mathlib/000927.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000927",
   "batch_fingerprint": "e426768b63ab0fefdb8ed1a131721f94695e3b998e14fda61e6bb78a953880ff",
   "evidence": {
@@ -670,22 +669,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000927-0000-f4800e222d272cae.parquet",
-      "sha256": "f4800e222d272caebf17dd933c5996152df9d4ff7c6757d0b06a7f6a79695da6",
-      "bytes": 57355,
-      "rows": 6,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000927-0000-562494837a1013b4.parquet",
-      "sha256": "562494837a1013b46f16d604551047490c15e45577945e68d143c8d80d023d6f",
-      "bytes": 57108,
-      "rows": 7,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DFinsupp.toFinsupp_support",
     "mathlib:Finsupp.toDFinsupp_single",
@@ -701,5 +685,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/ToDFinsupp.lean\",null,null,\"sigmaFinsuppEquivDFinsupp_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/ToDFinsupp.lean\",null,null,\"sigmaFinsuppEquivDFinsupp_support\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Finsupp/ToDFinsupp.lean\",null,null,\"toDFinsupp_support\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57355,
+      "path": "data/train/pd2/mathlib-000927-0000-f4800e222d272cae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f4800e222d272caebf17dd933c5996152df9d4ff7c6757d0b06a7f6a79695da6"
+    },
+    {
+      "bytes": 57108,
+      "path": "data/internal_test/pd2/mathlib-000927-0000-562494837a1013b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "562494837a1013b46f16d604551047490c15e45577945e68d143c8d80d023d6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000928.json b/manifests/batches/mathlib/000928.json
index bf0c28f0193c2610e826d35e95ad98d421ae194b..6d6e1aeeab48b0049f93927ed839a1bf76e18557 100644
--- a/manifests/batches/mathlib/000928.json
+++ b/manifests/batches/mathlib/000928.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000928",
   "batch_fingerprint": "fe966a6238d088c2b4df13b3a6ee316b6fa8da88c45e11b96c29ee8129c2bb05",
   "evidence": {
@@ -2457,29 +2456,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000928-0000-ae9b10eeccd03b24.parquet",
-      "sha256": "ae9b10eeccd03b24b8b917cac11ccd95048fea1196ec75be3fe38537838ff300",
-      "bytes": 284337,
-      "rows": 109,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/mathlib-000928-0000-b3edb9280657fa5f.parquet",
-      "sha256": "b3edb9280657fa5f225ffcb3b42ad97dd4b5046d5e668420612060c9695de274",
-      "bytes": 39172,
-      "rows": 3,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000928-0000-5234f991afd3f8a2.parquet",
-      "sha256": "5234f991afd3f8a2f63c15918b92c9680c91f76f2722a5992de5aab989bbc3e5",
-      "bytes": 47354,
-      "rows": 8,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.image_castSucc",
     "mathlib:Fin.image_succAbove_univ",
@@ -2647,5 +2624,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/BigOperators.lean\",null,null,\"Fintype.prod_eq_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/BigOperators.lean\",null,null,\"Fintype.prod_extend_by_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/BigOperators.lean\",null,null,\"card_vector\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284337,
+      "path": "data/train/pd0/mathlib-000928-0000-ae9b10eeccd03b24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "ae9b10eeccd03b24b8b917cac11ccd95048fea1196ec75be3fe38537838ff300"
+    },
+    {
+      "bytes": 39172,
+      "path": "data/dev/pd0/mathlib-000928-0000-b3edb9280657fa5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b3edb9280657fa5f225ffcb3b42ad97dd4b5046d5e668420612060c9695de274"
+    },
+    {
+      "bytes": 47354,
+      "path": "data/internal_test/pd0/mathlib-000928-0000-5234f991afd3f8a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5234f991afd3f8a2f63c15918b92c9680c91f76f2722a5992de5aab989bbc3e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000929.json b/manifests/batches/mathlib/000929.json
index 1b557a0600fd96a02f3625e143554eec9adaf17b..94571988a65a1eff119681ca2eb00d1ee898d128 100644
--- a/manifests/batches/mathlib/000929.json
+++ b/manifests/batches/mathlib/000929.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000929",
   "batch_fingerprint": "b92a8c1a3ad9d2c936d8d41d78f51c16ae9500dfcdd5f53f1b6dbc2642b4507f",
   "evidence": {
@@ -3179,29 +3178,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000929-0000-a338bf400775abd6.parquet",
-      "sha256": "a338bf400775abd65bc1674bd9a17c6689d2a5009ca838d475de804ae9712f3a",
-      "bytes": 169394,
-      "rows": 57,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/mathlib-000929-0000-cedc57907132a34b.parquet",
-      "sha256": "cedc57907132a34b67854c9e01272c1c32e1e6d9f49545cad31c1c7a9f3577e3",
-      "bytes": 44457,
-      "rows": 1,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000929-0000-3312534933205ccb.parquet",
-      "sha256": "3312534933205ccb7db88dcc61b62cfe6be73e6a711bbcd5f81c34bf23d06360",
-      "bytes": 39046,
-      "rows": 5,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.cast_eq_cast'",
     "mathlib:Finite.exists_ne_map_eq_of_infinite",
@@ -3273,5 +3250,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Card.lean\",null,null,\"card_finset_fin_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Card.lean\",null,null,\"set_fintype_card_eq_univ_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Card.lean\",null,null,\"univ_eq_singleton_of_card_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169394,
+      "path": "data/train/p72/mathlib-000929-0000-a338bf400775abd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "a338bf400775abd65bc1674bd9a17c6689d2a5009ca838d475de804ae9712f3a"
+    },
+    {
+      "bytes": 44457,
+      "path": "data/dev/p72/mathlib-000929-0000-cedc57907132a34b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cedc57907132a34b67854c9e01272c1c32e1e6d9f49545cad31c1c7a9f3577e3"
+    },
+    {
+      "bytes": 39046,
+      "path": "data/internal_test/p72/mathlib-000929-0000-3312534933205ccb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3312534933205ccb7db88dcc61b62cfe6be73e6a711bbcd5f81c34bf23d06360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000930.json b/manifests/batches/mathlib/000930.json
index 280ee765f5e05fac568702f884e7c2bb3a92bbec..f9ea188ee61bead8c3b50db5b75b7b912dd6b6f5 100644
--- a/manifests/batches/mathlib/000930.json
+++ b/manifests/batches/mathlib/000930.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000930",
   "batch_fingerprint": "f53e16c02fd471c8ccfdf4c4b909629c34d7ff62df8339af7b35cacb1a2db152",
   "evidence": {
@@ -271,22 +270,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000930-0000-d036666d8e40adbe.parquet",
-      "sha256": "d036666d8e40adbe4399edbae189ad6f5b965860f4e57f8d7126871644e7758a",
-      "bytes": 62525,
-      "rows": 15,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/mathlib-000930-0000-fa3c5ca88b5ac30a.parquet",
-      "sha256": "fa3c5ca88b5ac30aa0fe1d260f38f8117f4d7702d0d6a500e0e8e5ba3bc58c07",
-      "bytes": 33785,
-      "rows": 2,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.Iio_castSucc",
     "mathlib:Fin.Iio_last_eq_map",
@@ -308,5 +292,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Lattice.lean\",null,null,\"Finite.exists_max\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Lattice.lean\",null,null,\"Finite.exists_min\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Lattice.lean\",null,null,\"Finset.mem_inf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62525,
+      "path": "data/train/p7b/mathlib-000930-0000-d036666d8e40adbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d036666d8e40adbe4399edbae189ad6f5b965860f4e57f8d7126871644e7758a"
+    },
+    {
+      "bytes": 33785,
+      "path": "data/internal_test/p7b/mathlib-000930-0000-fa3c5ca88b5ac30a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fa3c5ca88b5ac30aa0fe1d260f38f8117f4d7702d0d6a500e0e8e5ba3bc58c07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000931.json b/manifests/batches/mathlib/000931.json
index dc834475e564ced1f08a1277c1950242e2c1d679..3a908d429a614ffc3d442f48b29b6dc376430004 100644
--- a/manifests/batches/mathlib/000931.json
+++ b/manifests/batches/mathlib/000931.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000931",
   "batch_fingerprint": "f689d735cc5d9a9da6e54752d9829d6bd80d448e4a07be3111c68fb1d65a532b",
   "evidence": {
@@ -130,15 +129,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000931-0000-f06c84ab2eef3caa.parquet",
-      "sha256": "f06c84ab2eef3caaf2232a4b111a172cef799e9ed775a9861923185298cd929e",
-      "bytes": 44896,
-      "rows": 6,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finite.induction_empty_option",
     "mathlib:Fintype.card_option",
@@ -148,5 +139,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/List.lean\",null,null,\"Multiset.mem_lists_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Option.lean\",null,null,\"Finite.induction_empty_option\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Option.lean\",null,null,\"Fintype.card_option\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44896,
+      "path": "data/train/pe7/mathlib-000931-0000-f06c84ab2eef3caa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f06c84ab2eef3caaf2232a4b111a172cef799e9ed775a9861923185298cd929e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000932.json b/manifests/batches/mathlib/000932.json
index 40098b5f54fa261f2632db27146b0df8c5716f91..578bdf9e0cc2b4461165bbbfe48997758b7c3732 100644
--- a/manifests/batches/mathlib/000932.json
+++ b/manifests/batches/mathlib/000932.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000932",
   "batch_fingerprint": "dcae00470ef08875ee88c9f22b9b8bf1e8b9b2a7bd0e15be842ac87042629fdc",
   "evidence": {
@@ -795,22 +794,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000932-0000-f72b71d610a131e2.parquet",
-      "sha256": "f72b71d610a131e23c4606d82d713dba0efcae75e4624a82953133a785e8325f",
-      "bytes": 65647,
-      "rows": 15,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/mathlib-000932-0000-fb317e8ed69e97aa.parquet",
-      "sha256": "fb317e8ed69e97aa737ffd03ef5c789bd031415c7685c9d5db18483ff986e03c",
-      "bytes": 48159,
-      "rows": 2,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Directed.finite_set_le",
     "mathlib:Finite.bddAbove_range",
@@ -826,5 +810,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Perm.lean\",null,null,\"card_perms_of_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Perm.lean\",null,null,\"length_permsOfList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Perm.lean\",null,null,\"mem_perms_of_finset_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65647,
+      "path": "data/train/p45/mathlib-000932-0000-f72b71d610a131e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f72b71d610a131e23c4606d82d713dba0efcae75e4624a82953133a785e8325f"
+    },
+    {
+      "bytes": 48159,
+      "path": "data/dev/p45/mathlib-000932-0000-fb317e8ed69e97aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fb317e8ed69e97aa737ffd03ef5c789bd031415c7685c9d5db18483ff986e03c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000933.json b/manifests/batches/mathlib/000933.json
index 40fac631e6bd351869717a6389e2130b026610df..7af17a25384245044997672e162e0c2dea09a81e 100644
--- a/manifests/batches/mathlib/000933.json
+++ b/manifests/batches/mathlib/000933.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000933",
   "batch_fingerprint": "a8d9a7cbb5c30c841ccb492bb54940aebbfb5e0eb02f22ddb403bccbef8f95b6",
   "evidence": {
@@ -457,22 +456,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000933-0000-6744b777bb8ddba2.parquet",
-      "sha256": "6744b777bb8ddba295b872d210d6a6a524798592135fb5de3ec23426792ddad2",
-      "bytes": 68004,
-      "rows": 19,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/dev/mathlib-000933-0000-66358ed1df2e5a99.parquet",
-      "sha256": "66358ed1df2e5a996d12fa4afc885e15e4ef639ca3a3108929f96571a899a1f6",
-      "bytes": 58038,
-      "rows": 2,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.filter_subset_univ",
     "mathlib:Finset.powerset_eq_univ",
@@ -504,5 +488,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Powerset.lean\",null,null,\"Finset.powerset_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Powerset.lean\",null,null,\"Finset.univ_filter_card_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Powerset.lean\",null,null,\"Fintype.card_finset_len\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68004,
+      "path": "data/train/p02/mathlib-000933-0000-6744b777bb8ddba2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6744b777bb8ddba295b872d210d6a6a524798592135fb5de3ec23426792ddad2"
+    },
+    {
+      "bytes": 58038,
+      "path": "data/dev/p02/mathlib-000933-0000-66358ed1df2e5a99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66358ed1df2e5a996d12fa4afc885e15e4ef639ca3a3108929f96571a899a1f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000934.json b/manifests/batches/mathlib/000934.json
index 41e7f624c1b9e917e97c491b94803fabd3025544..2cd9d2124fcf54493277fa54c3d39c34f1acce5b 100644
--- a/manifests/batches/mathlib/000934.json
+++ b/manifests/batches/mathlib/000934.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000934",
   "batch_fingerprint": "a8a14ab9c021983d5b1c6b27c62462f74a9dfec6fe407440839831b1e3a448c4",
   "evidence": {
@@ -251,15 +250,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000934-0000-03e6d9434ed12700.parquet",
-      "sha256": "03e6d9434ed12700f7a2671c430fd1ab42ea169ab3fb1923e631e879d496c506",
-      "bytes": 48324,
-      "rows": 12,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.product_eq_univ",
     "mathlib:Set.toFinset_off_diag",
@@ -271,5 +262,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Prod.lean\",null,null,\"Set.toFinset_off_diag\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Prod.lean\",null,null,\"Set.toFinset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Prod.lean\",null,null,\"infinite_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48324,
+      "path": "data/train/p27/mathlib-000934-0000-03e6d9434ed12700.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "03e6d9434ed12700f7a2671c430fd1ab42ea169ab3fb1923e631e879d496c506"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000935.json b/manifests/batches/mathlib/000935.json
index 097c9feb8117975e77ffa4026387fad20e1b3945..f3df5b52226b1f9438a782982c9e6b6f1434e40e 100644
--- a/manifests/batches/mathlib/000935.json
+++ b/manifests/batches/mathlib/000935.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000935",
   "batch_fingerprint": "ee8d17a7e333d1cbe208bcded70cf9158ee179122ee9798924c8852fa8f229f9",
   "evidence": {
@@ -62,22 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000935-0000-393476078c63e8ea.parquet",
-      "sha256": "393476078c63e8ea19642e51129eeaa9917ff9a176756351f9932324806b9239",
-      "bytes": 33840,
-      "rows": 3,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/dev/mathlib-000935-0000-5422517dd624ce96.parquet",
-      "sha256": "5422517dd624ce967bdf88f1d4bf072949d7682f362a3c4068ae252e5af444fc",
-      "bytes": 30972,
-      "rows": 1,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.biInter_finsetSigma_univ",
     "mathlib:Set.biInter_finsetSigma_univ'",
@@ -89,5 +73,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Sigma.lean\",null,null,\"Set.biInter_finsetSigma_univ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Sigma.lean\",null,null,\"Set.biUnion_finsetSigma_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Sigma.lean\",null,null,\"Set.biUnion_finsetSigma_univ'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33840,
+      "path": "data/train/p21/mathlib-000935-0000-393476078c63e8ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "393476078c63e8ea19642e51129eeaa9917ff9a176756351f9932324806b9239"
+    },
+    {
+      "bytes": 30972,
+      "path": "data/dev/p21/mathlib-000935-0000-5422517dd624ce96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5422517dd624ce967bdf88f1d4bf072949d7682f362a3c4068ae252e5af444fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000936.json b/manifests/batches/mathlib/000936.json
index 225286966eae4768486bd6f63b54fdf8f4896ada..d45210753a370969d076badae6ae0040d01a2ca1 100644
--- a/manifests/batches/mathlib/000936.json
+++ b/manifests/batches/mathlib/000936.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000936",
   "batch_fingerprint": "82c31f2586e22c24fb72cd05c34038b5036fffe23d1efb1be07e76da1b13f673",
   "evidence": {
@@ -730,19 +729,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000936-0000-d3d9810e73746279.parquet",
-      "sha256": "d3d9810e737462796d597cc230eb4f6b608ae48c8f58c5aa18996008e63bf1ad",
-      "bytes": 47776,
-      "rows": 5,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:infinite_sum"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Sum.lean\",null,null,\"infinite_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47776,
+      "path": "data/train/p5b/mathlib-000936-0000-d3d9810e73746279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d3d9810e737462796d597cc230eb4f6b608ae48c8f58c5aa18996008e63bf1ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000937.json b/manifests/batches/mathlib/000937.json
index c0934ddc6006bf05f83d667a6e34991a9cdf4dd5..fdd7405cd7990f6dc77be8c9c725d3887632a262 100644
--- a/manifests/batches/mathlib/000937.json
+++ b/manifests/batches/mathlib/000937.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000937",
   "batch_fingerprint": "f4496c9ba6e94e67e69f84e9575e61517528bfd822c1f7207f83cf290c98e8f3",
   "evidence": {
@@ -421,28 +420,29 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:DFunLike.coe_fn_eq",
+    "mathlib:Fintype.card_units"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Units.lean\",null,null,\"Fintype.card_units\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/FunLike/Basic.lean\",null,null,\"DFunLike.coe_fn_eq\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-000937-0000-5e938d5eb896c644.parquet",
-      "sha256": "5e938d5eb896c644e9f3999c0c89876273ec6ab6208ea1a1d57258de15672fc9",
       "bytes": 36940,
+      "path": "data/train/p24/mathlib-000937-0000-5e938d5eb896c644.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
+      "sha256": "5e938d5eb896c644e9f3999c0c89876273ec6ab6208ea1a1d57258de15672fc9"
     },
     {
-      "path": "data/internal_test/mathlib-000937-0000-061deb72e7d5329c.parquet",
-      "sha256": "061deb72e7d5329cca45d7126a0de883e4077ee5c504b06e346a1cca56eca785",
       "bytes": 30518,
+      "path": "data/internal_test/p24/mathlib-000937-0000-061deb72e7d5329c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
+      "sha256": "061deb72e7d5329cca45d7126a0de883e4077ee5c504b06e346a1cca56eca785"
     }
-  ],
-  "proof_ids": [
-    "mathlib:DFunLike.coe_fn_eq",
-    "mathlib:Fintype.card_units"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Fintype/Units.lean\",null,null,\"Fintype.card_units\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/FunLike/Basic.lean\",null,null,\"DFunLike.coe_fn_eq\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000938.json b/manifests/batches/mathlib/000938.json
index 21a5d62380fc59c1f32f6747f4979db16653b2cd..065ff10d62e8d35227442e85267097d4b08838fd 100644
--- a/manifests/batches/mathlib/000938.json
+++ b/manifests/batches/mathlib/000938.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000938",
   "batch_fingerprint": "8ca092220ca8515baa00d4992cc695f22b833c079a2499d1bf01c94ec6638ea4",
   "evidence": {
@@ -393,7 +392,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/000939.json b/manifests/batches/mathlib/000939.json
index 514e5e5f66c507e39d515098c0cd8197af33f7ca..26864d993c6892471b49122ea54f4c702473eb29 100644
--- a/manifests/batches/mathlib/000939.json
+++ b/manifests/batches/mathlib/000939.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000939",
   "batch_fingerprint": "d763aff7442e9c6b19ea9dd4cdaca8a5d2e2e425e8c39ee88093243a97ec632a",
   "evidence": {
@@ -845,22 +844,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000939-0000-5144a74052c1844e.parquet",
-      "sha256": "5144a74052c1844ee38e27c5a488c2c48b19a568be0a9c792e969aed5abe87b7",
-      "bytes": 55021,
-      "rows": 11,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000939-0000-29bea906ae015164.parquet",
-      "sha256": "29bea906ae015164402248702f91e0817a47f5e212a0ec7fd611b67b2d73b8b5",
-      "bytes": 47190,
-      "rows": 2,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Holor.cast_type",
     "mathlib:Holor.cprankMax_1",
@@ -882,5 +866,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Holor.lean\",null,null,\"HolorIndex.drop_drop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Holor.lean\",null,null,\"HolorIndex.drop_take\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Holor.lean\",null,null,\"HolorIndex.take_take\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55021,
+      "path": "data/train/p6e/mathlib-000939-0000-5144a74052c1844e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5144a74052c1844ee38e27c5a488c2c48b19a568be0a9c792e969aed5abe87b7"
+    },
+    {
+      "bytes": 47190,
+      "path": "data/internal_test/p6e/mathlib-000939-0000-29bea906ae015164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29bea906ae015164402248702f91e0817a47f5e212a0ec7fd611b67b2d73b8b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000940.json b/manifests/batches/mathlib/000940.json
index 028c057637d7b3c55176e9baf047652d7995c37d..2ae21668b57c78d281ef4def9db6c0e4de834a7d 100644
--- a/manifests/batches/mathlib/000940.json
+++ b/manifests/batches/mathlib/000940.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000940",
   "batch_fingerprint": "c1c1898620f59ad7e600fa9f78ad2a955b31169a06dae1ea960e3a37010d7406",
   "evidence": {
@@ -149,15 +148,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000940-0000-d392287c260fa53d.parquet",
-      "sha256": "d392287c260fa53d431c990c2df13768948e2dcecfe42fbedddd15019114933e",
-      "bytes": 44206,
-      "rows": 3,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AbsoluteValue.map_units_int",
     "mathlib:AbsoluteValue.map_units_intCast",
@@ -167,5 +158,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/AbsoluteValue.lean\",null,null,\"AbsoluteValue.map_units_int\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/AbsoluteValue.lean\",null,null,\"AbsoluteValue.map_units_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/AbsoluteValue.lean\",null,null,\"AbsoluteValue.map_units_int_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44206,
+      "path": "data/train/p75/mathlib-000940-0000-d392287c260fa53d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d392287c260fa53d431c990c2df13768948e2dcecfe42fbedddd15019114933e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000941.json b/manifests/batches/mathlib/000941.json
index 66b41d442c195dc4b30e54e5fccb13530b8c9068..cb7975cd1aca5662d7f39403fe279bfcb765f05e 100644
--- a/manifests/batches/mathlib/000941.json
+++ b/manifests/batches/mathlib/000941.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000941",
   "batch_fingerprint": "885f9d49b447f735edeeb24770994d4d89ca2aec34d9865db5d21981d17c9322",
   "evidence": {
@@ -2021,29 +2020,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000941-0000-723875d5a174be08.parquet",
-      "sha256": "723875d5a174be08521ae853564d64f9576443d67930ce14aae4173d0da7fd8f",
-      "bytes": 119981,
-      "rows": 36,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/dev/mathlib-000941-0000-914637d32580dd5f.parquet",
-      "sha256": "914637d32580dd5f632a7c287f9725c6ed58018e158d767fa1025e8594fa359c",
-      "bytes": 41047,
-      "rows": 1,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000941-0000-24be472370b98d29.parquet",
-      "sha256": "24be472370b98d292e5403ba18bfd0ec4d3f62b32ce564925143720c3e0bbc3f",
-      "bytes": 49670,
-      "rows": 5,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.Ico_filter_dvd_card",
     "mathlib:Int.Ico_filter_dvd_eq",
@@ -2109,5 +2086,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/CardIntervalMod.lean\",null,null,\"Int.Ioc_filter_modEq_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/CardIntervalMod.lean\",null,null,\"Nat.Ico_filter_modEq_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/CardIntervalMod.lean\",null,null,\"Nat.Ioc_filter_modEq_card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119981,
+      "path": "data/train/p14/mathlib-000941-0000-723875d5a174be08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "723875d5a174be08521ae853564d64f9576443d67930ce14aae4173d0da7fd8f"
+    },
+    {
+      "bytes": 41047,
+      "path": "data/dev/p14/mathlib-000941-0000-914637d32580dd5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "914637d32580dd5f632a7c287f9725c6ed58018e158d767fa1025e8594fa359c"
+    },
+    {
+      "bytes": 49670,
+      "path": "data/internal_test/p14/mathlib-000941-0000-24be472370b98d29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "24be472370b98d292e5403ba18bfd0ec4d3f62b32ce564925143720c3e0bbc3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000942.json b/manifests/batches/mathlib/000942.json
index 57b79e85a05937bac6a257302a10524bcff68171..d79de330e0dec920036a46ab4e7bf09e2d961f10 100644
--- a/manifests/batches/mathlib/000942.json
+++ b/manifests/batches/mathlib/000942.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000942",
   "batch_fingerprint": "bf34befe1d5c2053ede7cd5e6476a31b560ada09f6d4c243fe772bc3924493b9",
   "evidence": {
@@ -484,22 +483,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000942-0000-120fc407577d1875.parquet",
-      "sha256": "120fc407577d1875fb4a25854140d6f4c2e236dd767add617bb1a76331af9ef4",
-      "bytes": 42868,
-      "rows": 7,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000942-0000-983ffe011505f8ef.parquet",
-      "sha256": "983ffe011505f8ef57d5b164e6b23ca9d32537a41a7ffe7b5d057846a20e84b0",
-      "bytes": 29468,
-      "rows": 1,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.cast_bit1",
     "mathlib:Int.cast_negOfNat",
@@ -517,5 +501,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Basic.lean\",null,null,\"Int.cast_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Basic.lean\",null,null,\"Nat.cast_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Field.lean\",null,null,\"Int.cast_neg_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42868,
+      "path": "data/train/p83/mathlib-000942-0000-120fc407577d1875.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "120fc407577d1875fb4a25854140d6f4c2e236dd767add617bb1a76331af9ef4"
+    },
+    {
+      "bytes": 29468,
+      "path": "data/internal_test/p83/mathlib-000942-0000-983ffe011505f8ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "983ffe011505f8ef57d5b164e6b23ca9d32537a41a7ffe7b5d057846a20e84b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000943.json b/manifests/batches/mathlib/000943.json
index 80d6abdac1e3351e38baaab81f1ab6ccd4eed5c8..56994500c7e1c093bbcc8e65bd7309c24de7d4a3 100644
--- a/manifests/batches/mathlib/000943.json
+++ b/manifests/batches/mathlib/000943.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000943",
   "batch_fingerprint": "44a31aa2dff85fbc72cb059d4998a38e02ddc79ea2a706c6519ef69bf2b1aee6",
   "evidence": {
@@ -1229,22 +1228,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000943-0000-9cad7341ddf26cd6.parquet",
-      "sha256": "9cad7341ddf26cd68c93e2d27df8d4ef0d3b35eda2e6b85004390b1170e5023f",
-      "bytes": 40043,
-      "rows": 5,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/mathlib-000943-0000-33ba2c6218525dfc.parquet",
-      "sha256": "33ba2c6218525dfcc2de370fb5c4ae6daebd32cc13f97e305821d7094493d11a",
-      "bytes": 37920,
-      "rows": 2,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidHom.apply_int",
     "mathlib:AddMonoidHom.eq_intCastAddHom",
@@ -1262,5 +1246,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Lemmas.lean\",null,null,\"MonoidHom.apply_mint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Lemmas.lean\",null,null,\"zsmul_eq_mul'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Cast/Lemmas.lean\",null,null,\"zsmul_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40043,
+      "path": "data/train/p44/mathlib-000943-0000-9cad7341ddf26cd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9cad7341ddf26cd68c93e2d27df8d4ef0d3b35eda2e6b85004390b1170e5023f"
+    },
+    {
+      "bytes": 37920,
+      "path": "data/internal_test/p44/mathlib-000943-0000-33ba2c6218525dfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "33ba2c6218525dfcc2de370fb5c4ae6daebd32cc13f97e305821d7094493d11a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000944.json b/manifests/batches/mathlib/000944.json
index 476e278232c8f53da4e1f8b43367d902f81fe6e2..b519c203e5d704ffcbf081c1e9eaa8ab3cd94b9e 100644
--- a/manifests/batches/mathlib/000944.json
+++ b/manifests/batches/mathlib/000944.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000944",
   "batch_fingerprint": "e04d7a3608b966d3b7fd94f20b88c4ca42dc936567ebd5f7810f76102d077a9b",
   "evidence": {
@@ -139,29 +138,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000944-0000-b983b6955b3f19d4.parquet",
-      "sha256": "b983b6955b3f19d46f5cbafea79b443132e7ea0b4ac19cb3cfe82f5206389494",
-      "bytes": 53387,
-      "rows": 13,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000944-0000-1ba096445a771102.parquet",
-      "sha256": "1ba096445a771102367254e124b77fefdbeb50bae1f26db674e5fcca103090c8",
-      "bytes": 26782,
-      "rows": 1,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000944-0000-922f2f17d8828fa5.parquet",
-      "sha256": "922f2f17d8828fa58c6d16c47026676908307504590f4459f67028e33bd5979a",
-      "bytes": 22387,
-      "rows": 1,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.cast_div_ofNat_charZero",
     "mathlib:Int.csInf_empty",
@@ -183,5 +160,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/ConditionallyCompleteOrder.lean\",null,null,\"Int.csSup_eq_greatest_of_bdd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/ConditionallyCompleteOrder.lean\",null,null,\"Int.csSup_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/ConditionallyCompleteOrder.lean\",null,null,\"Int.csSup_of_not_bdd_above\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53387,
+      "path": "data/train/p52/mathlib-000944-0000-b983b6955b3f19d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b983b6955b3f19d46f5cbafea79b443132e7ea0b4ac19cb3cfe82f5206389494"
+    },
+    {
+      "bytes": 26782,
+      "path": "data/dev/p52/mathlib-000944-0000-1ba096445a771102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1ba096445a771102367254e124b77fefdbeb50bae1f26db674e5fcca103090c8"
+    },
+    {
+      "bytes": 22387,
+      "path": "data/internal_test/p52/mathlib-000944-0000-922f2f17d8828fa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "922f2f17d8828fa58c6d16c47026676908307504590f4459f67028e33bd5979a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000945.json b/manifests/batches/mathlib/000945.json
index 48b1ea8808d80996e60f359c5e20df6a6e983459..bbe97ba2ab9dd6f6cf5a4d1868b6e0c950f7fbe8 100644
--- a/manifests/batches/mathlib/000945.json
+++ b/manifests/batches/mathlib/000945.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000945",
   "batch_fingerprint": "e871908857a106633e689654d149221de6aa3bfed89d8b68a5f9c635db46a8e6",
   "evidence": {
@@ -4234,29 +4233,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000945-0000-b454243340af0ba9.parquet",
-      "sha256": "b454243340af0ba9ff4621779f88f42bbcdfbe15e8844fbeaa7b59ca6b1390ec",
-      "bytes": 233728,
-      "rows": 117,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000945-0000-8643beca9bf0b0de.parquet",
-      "sha256": "8643beca9bf0b0deef0eff81001f06651548bc57f30825557cdc6e626a168422",
-      "bytes": 30573,
-      "rows": 2,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000945-0000-08a4aa1f3a83d8b0.parquet",
-      "sha256": "08a4aa1f3a83d8b0e6fa566c638609a86a44a3ae58b523477aae26781efdf021",
-      "bytes": 54827,
-      "rows": 12,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.add_emod_eq_add_mod_right",
     "mathlib:Int.div_dvd_iff_dvd_mul",
@@ -4412,5 +4389,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/GCD.lean\",null,null,\"Nat.xgcd_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/GCD.lean\",null,null,\"Nat.xgcd_zero_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/GCD.lean\",null,null,\"pow_mem_range_pow_of_coprime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233728,
+      "path": "data/train/pcf/mathlib-000945-0000-b454243340af0ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 117,
+      "sha256": "b454243340af0ba9ff4621779f88f42bbcdfbe15e8844fbeaa7b59ca6b1390ec"
+    },
+    {
+      "bytes": 30573,
+      "path": "data/dev/pcf/mathlib-000945-0000-8643beca9bf0b0de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8643beca9bf0b0deef0eff81001f06651548bc57f30825557cdc6e626a168422"
+    },
+    {
+      "bytes": 54827,
+      "path": "data/internal_test/pcf/mathlib-000945-0000-08a4aa1f3a83d8b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "08a4aa1f3a83d8b0e6fa566c638609a86a44a3ae58b523477aae26781efdf021"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000946.json b/manifests/batches/mathlib/000946.json
index 96b813e28007d8f525938b1e22d91864fb987897..f3af58f4e547c31485ba7b61b6fc203c543767d0 100644
--- a/manifests/batches/mathlib/000946.json
+++ b/manifests/batches/mathlib/000946.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000946",
   "batch_fingerprint": "8049999d6b5b4c7e3e8cedf80ed6fe8fa53fb0b5c553f9e561be0c8140c5ea23",
   "evidence": {
@@ -573,29 +572,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000946-0000-847c1d8c93c69150.parquet",
-      "sha256": "847c1d8c93c69150610e5d5f771b9c2173e7f58bcac01ab5e5d3cacc2b71df42",
-      "bytes": 65087,
-      "rows": 17,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000946-0000-67a4bb48e47453eb.parquet",
-      "sha256": "67a4bb48e47453ebdb9021387b681085c41798d08ad293f31e8f053dcc3f246a",
-      "bytes": 32969,
-      "rows": 1,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000946-0000-0f49633cedf7afdc.parquet",
-      "sha256": "0f49633cedf7afdc7da9702b4145572610d6495f8b0ef27d389d6e795c4c1b8b",
-      "bytes": 61769,
-      "rows": 3,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.card_Icc_of_le",
     "mathlib:Int.card_Ico_of_le",
@@ -631,5 +608,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Interval.lean\",null,null,\"Int.card_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/LeastGreatest.lean\",null,null,\"Int.coe_greatestOfBdd_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/LeastGreatest.lean\",null,null,\"Int.coe_leastOfBdd_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65087,
+      "path": "data/train/p44/mathlib-000946-0000-847c1d8c93c69150.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "847c1d8c93c69150610e5d5f771b9c2173e7f58bcac01ab5e5d3cacc2b71df42"
+    },
+    {
+      "bytes": 32969,
+      "path": "data/dev/p44/mathlib-000946-0000-67a4bb48e47453eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "67a4bb48e47453ebdb9021387b681085c41798d08ad293f31e8f053dcc3f246a"
+    },
+    {
+      "bytes": 61769,
+      "path": "data/internal_test/p44/mathlib-000946-0000-0f49633cedf7afdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0f49633cedf7afdc7da9702b4145572610d6495f8b0ef27d389d6e795c4c1b8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000947.json b/manifests/batches/mathlib/000947.json
index be882831c3616618c9a66bfe4abf51e79a81370a..61b16c2ab6af9e99c660d574ac705ab23f9c73e6 100644
--- a/manifests/batches/mathlib/000947.json
+++ b/manifests/batches/mathlib/000947.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000947",
   "batch_fingerprint": "c345a5cad8bd08b4d00901d944eabc03c05b6a0110ed2e0b2af093599c8dbc19",
   "evidence": {
@@ -1369,29 +1368,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000947-0000-7c6dd20279ce4ffe.parquet",
-      "sha256": "7c6dd20279ce4ffeae1811f01965a632eb117d843f2174538c1f037f9582f737",
-      "bytes": 71260,
-      "rows": 22,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000947-0000-b463037b838bcaa5.parquet",
-      "sha256": "b463037b838bcaa5c4b22094f5c3138ba8f1af007dd37f456e6583dcf83a5602",
-      "bytes": 49233,
-      "rows": 4,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000947-0000-dd5a6f98ca637f07.parquet",
-      "sha256": "dd5a6f98ca637f0752cb083b0a86b2054542f523095a8c021a4dda356e4ee3da",
-      "bytes": 42211,
-      "rows": 1,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.clog_mono_right",
     "mathlib:Int.clog_of_left_le_one",
@@ -1437,5 +1414,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Log.lean\",null,null,\"Int.log_one_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Log.lean\",null,null,\"Int.neg_clog_inv_eq_log\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Log.lean\",null,null,\"Int.neg_log_inv_eq_clog\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71260,
+      "path": "data/train/p66/mathlib-000947-0000-7c6dd20279ce4ffe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7c6dd20279ce4ffeae1811f01965a632eb117d843f2174538c1f037f9582f737"
+    },
+    {
+      "bytes": 49233,
+      "path": "data/dev/p66/mathlib-000947-0000-b463037b838bcaa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b463037b838bcaa5c4b22094f5c3138ba8f1af007dd37f456e6583dcf83a5602"
+    },
+    {
+      "bytes": 42211,
+      "path": "data/internal_test/p66/mathlib-000947-0000-dd5a6f98ca637f07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dd5a6f98ca637f0752cb083b0a86b2054542f523095a8c021a4dda356e4ee3da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000948.json b/manifests/batches/mathlib/000948.json
index 5b7b6183dd15c615ac9d8432c9550e8f5cc7b250..67668dced78afbb33f0dd9152c1baf82cd808563 100644
--- a/manifests/batches/mathlib/000948.json
+++ b/manifests/batches/mathlib/000948.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000948",
   "batch_fingerprint": "53d8651c74c55a711a269a2d027aad7e368448f835c4aeef6601344c2b2945ed",
   "evidence": {
@@ -943,22 +942,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000948-0000-22bd607fb1864170.parquet",
-      "sha256": "22bd607fb1864170cf5a45607fe569ee8b8e70c640c32cecf9507cd0d33ed85b",
-      "bytes": 105201,
-      "rows": 38,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000948-0000-b38b43b7079696c8.parquet",
-      "sha256": "b38b43b7079696c8c8eb0ce78da1c5595a321980473e02b7268eb3ac09fd5bcf",
-      "bytes": 33489,
-      "rows": 2,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.ModEq.add",
     "mathlib:Int.ModEq.add_right_cancel",
@@ -1010,5 +994,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/ModEq.lean\",null,null,\"Int.natCast_modEq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/ModEq.lean\",null,null,\"Int.neg_modEq_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/NatPrime.lean\",null,null,\"Int.Prime.dvd_natAbs_of_coe_dvd_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105201,
+      "path": "data/train/p4f/mathlib-000948-0000-22bd607fb1864170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "22bd607fb1864170cf5a45607fe569ee8b8e70c640c32cecf9507cd0d33ed85b"
+    },
+    {
+      "bytes": 33489,
+      "path": "data/internal_test/p4f/mathlib-000948-0000-b38b43b7079696c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b38b43b7079696c8c8eb0ce78da1c5595a321980473e02b7268eb3ac09fd5bcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000949.json b/manifests/batches/mathlib/000949.json
index 72d1c9bb904b8ca933cd13d7f4e471c4fe39fe14..4a49e861b6b1622b0ca8e3f1975e1ae709194aba 100644
--- a/manifests/batches/mathlib/000949.json
+++ b/manifests/batches/mathlib/000949.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000949",
   "batch_fingerprint": "c52a120506eb0b98f0ebc1502d6cef4e34951a62e448658e4fcd82ea8dbe36b0",
   "evidence": {
@@ -62,22 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000949-0000-56cfeff323e09c8f.parquet",
-      "sha256": "56cfeff323e09c8f9809c3220bcaa5524d18d81a89c2d584b0fc8705f8fe2f3f",
-      "bytes": 47091,
-      "rows": 16,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000949-0000-89bab3e85fa36699.parquet",
-      "sha256": "89bab3e85fa36699c0202ea29d304624104a52a9eeea0bc2b0bf7677ce84c905",
-      "bytes": 43286,
-      "rows": 1,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.isUnit_iff_abs_eq",
     "mathlib:Int.isUnit_sq",
@@ -107,5 +91,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Order/Units.lean\",null,null,\"Int.units_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Order/Units.lean\",null,null,\"Int.units_pow_eq_pow_mod_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Order/Units.lean\",null,null,\"Int.units_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47091,
+      "path": "data/train/p06/mathlib-000949-0000-56cfeff323e09c8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "56cfeff323e09c8f9809c3220bcaa5524d18d81a89c2d584b0fc8705f8fe2f3f"
+    },
+    {
+      "bytes": 43286,
+      "path": "data/dev/p06/mathlib-000949-0000-89bab3e85fa36699.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "89bab3e85fa36699c0202ea29d304624104a52a9eeea0bc2b0bf7677ce84c905"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000950.json b/manifests/batches/mathlib/000950.json
index 2fddefe9f2f43db050091076bb26e5f3fb453906..0f459fd3bf0612e9dc0bf56f7175015c15c420d7 100644
--- a/manifests/batches/mathlib/000950.json
+++ b/manifests/batches/mathlib/000950.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000950",
   "batch_fingerprint": "99d1be809426d1c2e5199af768390288a170fffe234f0375d8219c2e5da0e8cc",
   "evidence": {
@@ -112,15 +111,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000950-0000-7679bbd3bd45cef0.parquet",
-      "sha256": "7679bbd3bd45cef0d82ae416371b1a810cc49fde4d5e0b8f1350adde0bd3a4f3",
-      "bytes": 49543,
-      "rows": 3,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.exists_mul_self",
     "mathlib:Int.sqrt_eq",
@@ -130,5 +121,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Sqrt.lean\",null,null,\"Int.exists_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Sqrt.lean\",null,null,\"Int.sqrt_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/Sqrt.lean\",null,null,\"Int.sqrt_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49543,
+      "path": "data/train/pa7/mathlib-000950-0000-7679bbd3bd45cef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7679bbd3bd45cef0d82ae416371b1a810cc49fde4d5e0b8f1350adde0bd3a4f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000951.json b/manifests/batches/mathlib/000951.json
index edf6fdfdc8284f750e9110ba88cde610343878d8..00859118a7049ad7296a63be51b0faca25f17eac 100644
--- a/manifests/batches/mathlib/000951.json
+++ b/manifests/batches/mathlib/000951.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000951",
   "batch_fingerprint": "f173f06623e775b814e31d1df86465a122ac4b517298465a14bbd5ce5cd08f10",
   "evidence": {
@@ -196,15 +195,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000951-0000-c284adca762276af.parquet",
-      "sha256": "c284adca762276af8c890abaf4f1179f1fcc3a620cd876dd8683472d4b6a4183",
-      "bytes": 47688,
-      "rows": 8,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.addSubmonoid_closure_range_mul_self",
     "mathlib:Int.natCast_covBy",
@@ -218,5 +209,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/SuccPred.lean\",null,null,\"Int.pred_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/SuccPred.lean\",null,null,\"Int.sub_one_covBy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Int/SuccPred.lean\",null,null,\"Int.succ_iterate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47688,
+      "path": "data/train/p1e/mathlib-000951-0000-c284adca762276af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c284adca762276af8c890abaf4f1179f1fcc3a620cd876dd8683472d4b6a4183"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000952.json b/manifests/batches/mathlib/000952.json
index 4dc527cf2c1e55ccbad946af4391b27bf81e86e7..3e10fa757f4f25b954e1453d9695bcaf135cd91c 100644
--- a/manifests/batches/mathlib/000952.json
+++ b/manifests/batches/mathlib/000952.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000952",
   "batch_fingerprint": "97f439034670a629b0d66516ef995ab9a16e6c163df569a1303f412911ee871f",
   "evidence": {
@@ -1205,22 +1204,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000952-0000-3d3469d479b1a16c.parquet",
-      "sha256": "3d3469d479b1a16caf89c3e26fc482c0bc29daecea5ba5c41e552c79e9da34fe",
-      "bytes": 86804,
-      "rows": 30,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000952-0000-ccf4056f64fc8942.parquet",
-      "sha256": "ccf4056f64fc8942de109d851fcedfe1552dc5178a153e6dc678fb8f467aeb3e",
-      "bytes": 38951,
-      "rows": 3,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AList.ext",
     "mathlib:AList.extract_eq_lookup_erase",
@@ -1268,5 +1252,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/AList.lean\",null,null,\"AList.perm_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/AList.lean\",null,null,\"AList.union_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/AList.lean\",null,null,\"AList.union_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86804,
+      "path": "data/train/p68/mathlib-000952-0000-3d3469d479b1a16c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "3d3469d479b1a16caf89c3e26fc482c0bc29daecea5ba5c41e552c79e9da34fe"
+    },
+    {
+      "bytes": 38951,
+      "path": "data/dev/p68/mathlib-000952-0000-ccf4056f64fc8942.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ccf4056f64fc8942de109d851fcedfe1552dc5178a153e6dc678fb8f467aeb3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000953.json b/manifests/batches/mathlib/000953.json
index 8076f95bffb5f4c571163fe89676166bfde5e0a9..941ec84d399823ba2081f807afac606ec4f25d50 100644
--- a/manifests/batches/mathlib/000953.json
+++ b/manifests/batches/mathlib/000953.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000953",
   "batch_fingerprint": "d9ec221f8c45a0c5bd7a217a9ba882126448da24e05e405e58b1df84b8ce568f",
   "evidence": {
@@ -12808,29 +12807,7 @@
     "validation_rejected_proofs": 58,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000953-0000-39a68bdc09bfeaec.parquet",
-      "sha256": "39a68bdc09bfeaec2cf93fb93298fac787b07879ebcec45ea06935e6a19aa273",
-      "bytes": 555308,
-      "rows": 198,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/dev/mathlib-000953-0000-7d1a13ae63712c1f.parquet",
-      "sha256": "7d1a13ae63712c1f0bd7a107f48d4f19a5461e1c0b741862d294edc21b880bb0",
-      "bytes": 56182,
-      "rows": 9,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/internal_test/mathlib-000953-0000-fa295c0a5f3aacb6.parquet",
-      "sha256": "fa295c0a5f3aacb6420186388a395bfa528b4a29b41ba9cca0fe006f3db736ca",
-      "bytes": 61714,
-      "rows": 17,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.list_map",
     "mathlib:Function.Involutive.exists_mem_and_apply_eq_iff",
@@ -13136,5 +13113,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Chain.lean\",null,null,\"List.chain_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Chain.lean\",null,null,\"List.chain_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Chain.lean\",null,null,\"List.chain_split\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 555308,
+      "path": "data/train/pe6/mathlib-000953-0000-39a68bdc09bfeaec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 198,
+      "sha256": "39a68bdc09bfeaec2cf93fb93298fac787b07879ebcec45ea06935e6a19aa273"
+    },
+    {
+      "bytes": 56182,
+      "path": "data/dev/pe6/mathlib-000953-0000-7d1a13ae63712c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7d1a13ae63712c1f0bd7a107f48d4f19a5461e1c0b741862d294edc21b880bb0"
+    },
+    {
+      "bytes": 61714,
+      "path": "data/internal_test/pe6/mathlib-000953-0000-fa295c0a5f3aacb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fa295c0a5f3aacb6420186388a395bfa528b4a29b41ba9cca0fe006f3db736ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000954.json b/manifests/batches/mathlib/000954.json
index 5dad0d11ef72c2a02988da6874f357d3ddb0abfa..b88a815602864525312e14b669baa08eae9c449c 100644
--- a/manifests/batches/mathlib/000954.json
+++ b/manifests/batches/mathlib/000954.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000954",
   "batch_fingerprint": "e3bed5c38adde7732435a75458876834fd47ba75b7631efe4260f863ba044311",
   "evidence": {
@@ -3968,29 +3967,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000954-0000-0d6047f1146bfb10.parquet",
-      "sha256": "0d6047f1146bfb106a87eebc1a975fe38a15e464019ef56bc5f2634904af2018",
-      "bytes": 128395,
-      "rows": 44,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/mathlib-000954-0000-ec8d525fa4c6b9d1.parquet",
-      "sha256": "ec8d525fa4c6b9d13d2e7e05dc249da3932649384700138c7f7b54a2163cfcb0",
-      "bytes": 46416,
-      "rows": 4,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/mathlib-000954-0000-c5f517f250ea6bfa.parquet",
-      "sha256": "c5f517f250ea6bfaed326098b70a66420fbc4a1d28fc6578c37ce751ad4e565a",
-      "bytes": 45129,
-      "rows": 4,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cycle.Chain.nil",
     "mathlib:Cycle.Nodup.nontrivial_iff",
@@ -4058,5 +4035,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Cycle.lean\",null,null,\"List.next_reverse_eq_prev\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Cycle.lean\",null,null,\"List.prev_cons_cons_eq'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Cycle.lean\",null,null,\"List.prev_getLast_cons'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128395,
+      "path": "data/train/pd0/mathlib-000954-0000-0d6047f1146bfb10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "0d6047f1146bfb106a87eebc1a975fe38a15e464019ef56bc5f2634904af2018"
+    },
+    {
+      "bytes": 46416,
+      "path": "data/dev/pd0/mathlib-000954-0000-ec8d525fa4c6b9d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ec8d525fa4c6b9d13d2e7e05dc249da3932649384700138c7f7b54a2163cfcb0"
+    },
+    {
+      "bytes": 45129,
+      "path": "data/internal_test/pd0/mathlib-000954-0000-c5f517f250ea6bfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c5f517f250ea6bfaed326098b70a66420fbc4a1d28fc6578c37ce751ad4e565a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000955.json b/manifests/batches/mathlib/000955.json
index 2b0f4d91eaf47a2206b80c61fd2a9e7a177d71b0..7874ad11085937906653840afde4f1d90663ab81 100644
--- a/manifests/batches/mathlib/000955.json
+++ b/manifests/batches/mathlib/000955.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000955",
   "batch_fingerprint": "769c5c7eab85bdde4d940e63fac09b6be93a970fd88187bf10c969bd44c97c61",
   "evidence": {
@@ -521,22 +520,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000955-0000-cd2bf1f18ef71c32.parquet",
-      "sha256": "cd2bf1f18ef71c32aac36b04d28deb77b498741b93bc32bf7c8bea2c33b15fb1",
-      "bytes": 55402,
-      "rows": 8,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000955-0000-5e6573567db6d775.parquet",
-      "sha256": "5e6573567db6d775ae47884c2795856ae3c8c4979f4f8a1c1b0aae80acc6e1ba",
-      "bytes": 41637,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.count_dedup",
     "mathlib:List.dedup_cons_of_mem'",
@@ -556,5 +540,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Dedup.lean\",null,null,\"List.tail_dedup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Defs.lean\",null,null,\"List.iterateTR_loop_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Defs.lean\",null,null,\"List.iterate_eq_iterateTR\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55402,
+      "path": "data/train/p35/mathlib-000955-0000-cd2bf1f18ef71c32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cd2bf1f18ef71c32aac36b04d28deb77b498741b93bc32bf7c8bea2c33b15fb1"
+    },
+    {
+      "bytes": 41637,
+      "path": "data/dev/p35/mathlib-000955-0000-5e6573567db6d775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5e6573567db6d775ae47884c2795856ae3c8c4979f4f8a1c1b0aae80acc6e1ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000956.json b/manifests/batches/mathlib/000956.json
index 2a7f4e2f7184614605fc41b7d304e27f65c63e66..a95a76a85be96c92facebba20c58614d5619370f 100644
--- a/manifests/batches/mathlib/000956.json
+++ b/manifests/batches/mathlib/000956.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000956",
   "batch_fingerprint": "e2f2659b566577ef1d955caba7942e5bd500573a5a060d31a52bfbcd53574c02",
   "evidence": {
@@ -1295,29 +1294,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000956-0000-6d81e9e616f4c804.parquet",
-      "sha256": "6d81e9e616f4c80415f9002320d13268db9f98b9f5afae5dd916932e3a0d5e3d",
-      "bytes": 68306,
-      "rows": 29,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000956-0000-8ab9ff8e1a34c9cf.parquet",
-      "sha256": "8ab9ff8e1a34c9cf7b1b2e5e9bbb2261ae1b5d39e4eaf814cdc5d31d56347094",
-      "bytes": 43031,
-      "rows": 5,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000956-0000-1ebde0577103c5ea.parquet",
-      "sha256": "1ebde0577103c5ea71f8aa442a3d8b50e7d7e1284aea525b587e81d1875203df",
-      "bytes": 52272,
-      "rows": 5,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.destutter'_cons_neg",
     "mathlib:List.destutter'_cons_pos",
@@ -1379,5 +1356,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/DropRight.lean\",null,null,\"List.rtakeWhile_suffix\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/DropRight.lean\",null,null,\"List.rtake_concat_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/DropRight.lean\",null,null,\"List.rtake_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68306,
+      "path": "data/train/p33/mathlib-000956-0000-6d81e9e616f4c804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6d81e9e616f4c80415f9002320d13268db9f98b9f5afae5dd916932e3a0d5e3d"
+    },
+    {
+      "bytes": 43031,
+      "path": "data/dev/p33/mathlib-000956-0000-8ab9ff8e1a34c9cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8ab9ff8e1a34c9cf7b1b2e5e9bbb2261ae1b5d39e4eaf814cdc5d31d56347094"
+    },
+    {
+      "bytes": 52272,
+      "path": "data/internal_test/p33/mathlib-000956-0000-1ebde0577103c5ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1ebde0577103c5ea71f8aa442a3d8b50e7d7e1284aea525b587e81d1875203df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000957.json b/manifests/batches/mathlib/000957.json
index 8c21b5466cacb64c8a051063ce74ab6250b731f5..08cdb714476e31c98d5ec050f223e6d735eec752 100644
--- a/manifests/batches/mathlib/000957.json
+++ b/manifests/batches/mathlib/000957.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000957",
   "batch_fingerprint": "9d436bd4519de617482d2453dd095544f5ca3fede0f1c755a43f4e72be23f0ae",
   "evidence": {
@@ -1121,15 +1120,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000957-0000-d7f71b1419ee20c7.parquet",
-      "sha256": "d7f71b1419ee20c766b919fda45d2d55c6181a98fbc8751de6241338f99555d0",
-      "bytes": 46119,
-      "rows": 7,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Duplicate.of_duplicate_cons",
     "mathlib:List.duplicate_cons_iff_of_ne",
@@ -1147,5 +1138,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Duplicate.lean\",null,null,\"List.nodup_iff_forall_not_duplicate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/EditDistance/Bounds.lean\",null,null,\"le_levenshtein_append\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/EditDistance/Bounds.lean\",null,null,\"le_levenshtein_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46119,
+      "path": "data/train/p70/mathlib-000957-0000-d7f71b1419ee20c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d7f71b1419ee20c766b919fda45d2d55c6181a98fbc8751de6241338f99555d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000958.json b/manifests/batches/mathlib/000958.json
index f95c39378ba3cb426626c9225bf8aeda95f1dc13..055c2a4ab41fbbc1b009609eef4d1576d0c299d5 100644
--- a/manifests/batches/mathlib/000958.json
+++ b/manifests/batches/mathlib/000958.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000958",
   "batch_fingerprint": "ad5aa6171f2cce0d7bad533e743aa0d538161549e9c67c3f8553e18a4390df2b",
   "evidence": {
@@ -1196,29 +1195,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000958-0000-4b840963ec943c95.parquet",
-      "sha256": "4b840963ec943c95bcf196ecf74aba70ca57b56a8a3f4fcdf962776a698e2e44",
-      "bytes": 80536,
-      "rows": 19,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000958-0000-79f1cfd3aa74a1bb.parquet",
-      "sha256": "79f1cfd3aa74a1bb9cefe791d9ec699779b23b8b421e04d2a959be23b5c38632",
-      "bytes": 30711,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000958-0000-535a03680ea10d97.parquet",
-      "sha256": "535a03680ea10d97d3c940af138a24ab4bff71178dc144e21be032c594958d61",
-      "bytes": 25257,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Levenshtein.impl_cons",
     "mathlib:List.enumFrom_cons'",
@@ -1256,5 +1233,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Enum.lean\",null,null,\"List.get_enumFrom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Enum.lean\",null,null,\"List.mk_add_mem_enumFrom_iff_get?\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Enum.lean\",null,null,\"List.mk_mem_enum_iff_get?\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80536,
+      "path": "data/train/pe5/mathlib-000958-0000-4b840963ec943c95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4b840963ec943c95bcf196ecf74aba70ca57b56a8a3f4fcdf962776a698e2e44"
+    },
+    {
+      "bytes": 30711,
+      "path": "data/dev/pe5/mathlib-000958-0000-79f1cfd3aa74a1bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "79f1cfd3aa74a1bb9cefe791d9ec699779b23b8b421e04d2a959be23b5c38632"
+    },
+    {
+      "bytes": 25257,
+      "path": "data/internal_test/pe5/mathlib-000958-0000-535a03680ea10d97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "535a03680ea10d97d3c940af138a24ab4bff71178dc144e21be032c594958d61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000959.json b/manifests/batches/mathlib/000959.json
index b783d6d0f0a221547e0dc100ac6d513dd72ec01d..35b736850a02b59f27c9ee203457478323e5e647 100644
--- a/manifests/batches/mathlib/000959.json
+++ b/manifests/batches/mathlib/000959.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000959",
   "batch_fingerprint": "a2a86bd318cd7be2f3ff51e2102e21d4be7e2bd52308ec68150966aaa21c93b5",
   "evidence": {
@@ -1631,29 +1630,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000959-0000-f43a6c444a7c6149.parquet",
-      "sha256": "f43a6c444a7c61499e8cce175120a55f129c6f8fea34c5243c5ff34fe33fde81",
-      "bytes": 94160,
-      "rows": 22,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000959-0000-17eefdc57c43d768.parquet",
-      "sha256": "17eefdc57c43d76875fea280a7c39e63ebdd9aaf54731435d1324fbdabf691cd",
-      "bytes": 38913,
-      "rows": 2,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000959-0000-9d8ca898e745b997.parquet",
-      "sha256": "9d8ca898e745b997d9a46a373b67fb5b1ca0006ad9734dbff4715c08ae103263",
-      "bytes": 34329,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.map_finRange_perm",
     "mathlib:Equiv.Perm.ofFn_comp_perm",
@@ -1683,5 +1660,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Forall2.lean\",null,null,\"List.forall\u2082_take_append\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Forall2.lean\",null,null,\"List.rel_filterMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Forall2.lean\",null,null,\"List.rel_reverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94160,
+      "path": "data/train/pe4/mathlib-000959-0000-f43a6c444a7c6149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f43a6c444a7c61499e8cce175120a55f129c6f8fea34c5243c5ff34fe33fde81"
+    },
+    {
+      "bytes": 38913,
+      "path": "data/dev/pe4/mathlib-000959-0000-17eefdc57c43d768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "17eefdc57c43d76875fea280a7c39e63ebdd9aaf54731435d1324fbdabf691cd"
+    },
+    {
+      "bytes": 34329,
+      "path": "data/internal_test/pe4/mathlib-000959-0000-9d8ca898e745b997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9d8ca898e745b997d9a46a373b67fb5b1ca0006ad9734dbff4715c08ae103263"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000960.json b/manifests/batches/mathlib/000960.json
index 45bb62e22419873d1891cccc8dfd255554f4229f..49082a6c74096d5f648edc6d905a95b413379c86 100644
--- a/manifests/batches/mathlib/000960.json
+++ b/manifests/batches/mathlib/000960.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000960",
   "batch_fingerprint": "467de991b768ff714186764d1027afa9d6a37a9bad0997eb933ea137e5fe69e9",
   "evidence": {
@@ -2573,29 +2572,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000960-0000-a86dae12c34cdbeb.parquet",
-      "sha256": "a86dae12c34cdbeb3c49be0afdb58a3d34fac58d7b686d7a1ff491f5badd0b1d",
-      "bytes": 125839,
-      "rows": 33,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000960-0000-fa355afc419a338c.parquet",
-      "sha256": "fa355afc419a338cda44fcba7dc0fcda34c49076c421f0ede3e6ee11a10fea1a",
-      "bytes": 27273,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000960-0000-f3481212fb352b2b.parquet",
-      "sha256": "f3481212fb352b2bbb2bfe18a51d1f33a9f383d4b759b3930fd0112f70818766",
-      "bytes": 41708,
-      "rows": 1,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.findIdx_eq",
     "mathlib:List.findIdx_lt_length",
@@ -2639,5 +2616,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Indexes.lean\",null,null,\"List.mapIdx_eq_nil\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Indexes.lean\",null,null,\"List.nthLe_mapIdx\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Indexes.lean\",null,null,\"List.oldMapIdx_append\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125839,
+      "path": "data/train/p8e/mathlib-000960-0000-a86dae12c34cdbeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a86dae12c34cdbeb3c49be0afdb58a3d34fac58d7b686d7a1ff491f5badd0b1d"
+    },
+    {
+      "bytes": 27273,
+      "path": "data/dev/p8e/mathlib-000960-0000-fa355afc419a338c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa355afc419a338cda44fcba7dc0fcda34c49076c421f0ede3e6ee11a10fea1a"
+    },
+    {
+      "bytes": 41708,
+      "path": "data/internal_test/p8e/mathlib-000960-0000-f3481212fb352b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f3481212fb352b2bbb2bfe18a51d1f33a9f383d4b759b3930fd0112f70818766"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000961.json b/manifests/batches/mathlib/000961.json
index a10a44fed03c3740bbe11d1b33054a06072db0b4..6c50a5c54b06fc4b7a5c1db35c44280ecf08ba74 100644
--- a/manifests/batches/mathlib/000961.json
+++ b/manifests/batches/mathlib/000961.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000961",
   "batch_fingerprint": "22fcfe8620bfa2d7c2ef1bac1d148a1d0668fbfe3f9e3360652f90e7e60b9881",
   "evidence": {
@@ -2528,29 +2527,7 @@
     "validation_rejected_proofs": 17,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000961-0000-4c8d1be90003fd6f.parquet",
-      "sha256": "4c8d1be90003fd6f3e4686e3ad3b8546c4454d8e4a1b062b3fb0479bac947c56",
-      "bytes": 114839,
-      "rows": 38,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/mathlib-000961-0000-f8303282597acb9c.parquet",
-      "sha256": "f8303282597acb9ca1d0272cc7e8fbda69a7777b85bc614388a6f689c6fa3481",
-      "bytes": 45883,
-      "rows": 2,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/mathlib-000961-0000-0e002c7c25145a45.parquet",
-      "sha256": "0e002c7c25145a455d6c031e52ef15a2685bedf2d255438030066f3cf0b52f5d",
-      "bytes": 44968,
-      "rows": 2,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.IsPrefix.getElem",
     "mathlib:List.IsPrefix.get_eq",
@@ -2606,5 +2583,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/InsertNth.lean\",null,null,\"List.get_insertNth_of_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/InsertNth.lean\",null,null,\"List.insertNth_eraseIdx_of_ge\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/InsertNth.lean\",null,null,\"List.nthLe_insertNth_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114839,
+      "path": "data/train/p61/mathlib-000961-0000-4c8d1be90003fd6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "4c8d1be90003fd6f3e4686e3ad3b8546c4454d8e4a1b062b3fb0479bac947c56"
+    },
+    {
+      "bytes": 45883,
+      "path": "data/dev/p61/mathlib-000961-0000-f8303282597acb9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f8303282597acb9ca1d0272cc7e8fbda69a7777b85bc614388a6f689c6fa3481"
+    },
+    {
+      "bytes": 44968,
+      "path": "data/internal_test/p61/mathlib-000961-0000-0e002c7c25145a45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e002c7c25145a455d6c031e52ef15a2685bedf2d255438030066f3cf0b52f5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000962.json b/manifests/batches/mathlib/000962.json
index 4e1eb00f9dfa6c4ae67ca244948ba1889b37daf2..10f0f05e525902917f5b28c567ad5ed93264bd34 100644
--- a/manifests/batches/mathlib/000962.json
+++ b/manifests/batches/mathlib/000962.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000962",
   "batch_fingerprint": "584020df8a2ea5fcab381e86b46e00a150e24cd189522671d44f09612e990b0f",
   "evidence": {
@@ -678,15 +677,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000962-0000-09a05501a10853df.parquet",
-      "sha256": "09a05501a10853df4147abec66fa7a64bfe29f41ca5acd465f108b3edf77f2be",
-      "bytes": 109309,
-      "rows": 43,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Ico.bagInter_consecutive",
     "mathlib:List.Ico.eq_cons",
@@ -742,5 +733,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Iterate.lean\",null,null,\"List.mem_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Iterate.lean\",null,null,\"List.range_map_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Iterate.lean\",null,null,\"List.take_iterate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109309,
+      "path": "data/train/pdb/mathlib-000962-0000-09a05501a10853df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "09a05501a10853df4147abec66fa7a64bfe29f41ca5acd465f108b3edf77f2be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000963.json b/manifests/batches/mathlib/000963.json
index ec1183e139ef4da115d676bcedd46906cbc6e325..beda5bd9aa85df3e00b905d1bc7040a4c22ace9f 100644
--- a/manifests/batches/mathlib/000963.json
+++ b/manifests/batches/mathlib/000963.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000963",
   "batch_fingerprint": "17bc0227f9ffd0c2fd4f4d51720ffca4e321227a2a975bed5b7ce0b0c477bfaa",
   "evidence": {
@@ -1731,15 +1730,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000963-0000-5df42041a09d4e23.parquet",
-      "sha256": "5df42041a09d4e23346215def6427ab74aa2d011508010cc0cbb5080ff7ca5ec",
-      "bytes": 62651,
-      "rows": 22,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.bagInter_nil",
     "mathlib:List.bind_eq_nil",
@@ -1785,5 +1776,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lattice.lean\",null,null,\"List.mem_inter_of_mem_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lattice.lean\",null,null,\"List.mem_of_mem_inter_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lattice.lean\",null,null,\"List.nil_bagInter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62651,
+      "path": "data/train/pf3/mathlib-000963-0000-5df42041a09d4e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5df42041a09d4e23346215def6427ab74aa2d011508010cc0cbb5080ff7ca5ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000964.json b/manifests/batches/mathlib/000964.json
index 0e540ca149f38d32bda4ac6229a7b673a9fc124c..d7e9c63dcbff95d2e25636a6f20477ac80f8df0f 100644
--- a/manifests/batches/mathlib/000964.json
+++ b/manifests/batches/mathlib/000964.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000964",
   "batch_fingerprint": "cec4bb84ee9ef1a24dcb024e8ecdb52a957d1a29928dbec32f464d4f3e7976ef",
   "evidence": {
@@ -892,15 +891,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000964-0000-52bda1163b9eea3d.parquet",
-      "sha256": "52bda1163b9eea3d74cfab29c4215fc8cdabc36c6c68473528c2d0ae4a2a727e",
-      "bytes": 71902,
-      "rows": 7,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Lex.cons_iff",
     "mathlib:List.cons_le_cons",
@@ -912,5 +903,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lemmas.lean\",null,null,\"List.mapAccumr\u2082_eq_foldr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lex.lean\",null,null,\"List.Lex.cons_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Lex.lean\",null,null,\"List.cons_le_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71902,
+      "path": "data/train/p88/mathlib-000964-0000-52bda1163b9eea3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "52bda1163b9eea3d74cfab29c4215fc8cdabc36c6c68473528c2d0ae4a2a727e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000965.json b/manifests/batches/mathlib/000965.json
index 6e700a7b5cdb00c911aa44210248f864d0f7bef6..38e759fc94aa7aaaaea4608a772642f66e0976cf 100644
--- a/manifests/batches/mathlib/000965.json
+++ b/manifests/batches/mathlib/000965.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000965",
   "batch_fingerprint": "9cef47f3e30b999db8dc1cb6448d04c9afd9480cc72123470e1b443b9b86dfb0",
   "evidence": {
@@ -2514,22 +2513,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000965-0000-4904d79e0805ac6d.parquet",
-      "sha256": "4904d79e0805ac6dba59980cd30c64a30a23aa617c9d8edcdcd9808bf15f88e4",
-      "bytes": 87627,
-      "rows": 25,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000965-0000-cc760ffd33c024fb.parquet",
-      "sha256": "cc760ffd33c024fba42aa25f21841a009bc8d241382a5cc612ae44ad3c50c414",
-      "bytes": 46718,
-      "rows": 3,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Nat.antidiagonal_succ",
     "mathlib:List.Nat.antidiagonal_succ'",
@@ -2557,5 +2541,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/NatAntidiagonal.lean\",null,null,\"List.Nat.antidiagonal_succ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/NatAntidiagonal.lean\",null,null,\"List.Nat.antidiagonal_succ_succ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/NatAntidiagonal.lean\",null,null,\"List.Nat.length_antidiagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87627,
+      "path": "data/train/p34/mathlib-000965-0000-4904d79e0805ac6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4904d79e0805ac6dba59980cd30c64a30a23aa617c9d8edcdcd9808bf15f88e4"
+    },
+    {
+      "bytes": 46718,
+      "path": "data/internal_test/p34/mathlib-000965-0000-cc760ffd33c024fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cc760ffd33c024fba42aa25f21841a009bc8d241382a5cc612ae44ad3c50c414"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000966.json b/manifests/batches/mathlib/000966.json
index bf0b3ef9ae311d0e8979a55fc77f7799ae4d24b2..26b7b9ec116a6d5788cdcecaa673fad50fdf8dcc 100644
--- a/manifests/batches/mathlib/000966.json
+++ b/manifests/batches/mathlib/000966.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000966",
   "batch_fingerprint": "d2656bc1b0d6857988c22dba90a762b233ef2de96203bf66de4e9f4622b90185",
   "evidence": {
@@ -3067,15 +3066,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000966-0000-1504bfd109595125.parquet",
-      "sha256": "1504bfd109595125f4976aed345d30674f2eb153b04d14891bf908e3e0592e80",
-      "bytes": 88229,
-      "rows": 29,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Nodup.concat",
     "mathlib:List.Nodup.filter",
@@ -3119,5 +3110,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Nodup.lean\",null,null,\"List.nodup_middle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Nodup.lean\",null,null,\"List.nodup_reverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Nodup.lean\",null,null,\"List.not_nodup_of_get_eq_of_ne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88229,
+      "path": "data/train/pa9/mathlib-000966-0000-1504bfd109595125.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1504bfd109595125f4976aed345d30674f2eb153b04d14891bf908e3e0592e80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000967.json b/manifests/batches/mathlib/000967.json
index e7360f0d021166573b36c944d46eff8ab4d0ff1e..0a647f5d9d981e0d6510dbc9e77029188f9434fe 100644
--- a/manifests/batches/mathlib/000967.json
+++ b/manifests/batches/mathlib/000967.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000967",
   "batch_fingerprint": "554ac24fa5e95fe337fddab14cbfddd16fe9ec9da0ba8504652f903d863a0aba",
   "evidence": {
@@ -1528,22 +1527,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000967-0000-b5afcd437e2d8b93.parquet",
-      "sha256": "b5afcd437e2d8b93a0b0e8f20e5b5d572e84866afd45d1e67a534c836cda0a2a",
-      "bytes": 88147,
-      "rows": 26,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000967-0000-c1a47f2bbfe16a37.parquet",
-      "sha256": "c1a47f2bbfe16a37e027a5a274f02ba8c5725e0b2cebbbaae92a0a771981a2db",
-      "bytes": 33704,
-      "rows": 1,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Pairwise.forall_of_forall",
     "mathlib:List.Pairwise.pmap",
@@ -1581,5 +1565,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/OfFn.lean\",null,null,\"List.pairwise_ofFn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Pairwise.lean\",null,null,\"List.Pairwise.forall_of_forall\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Pairwise.lean\",null,null,\"List.Pairwise.pmap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88147,
+      "path": "data/train/p1e/mathlib-000967-0000-b5afcd437e2d8b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b5afcd437e2d8b93a0b0e8f20e5b5d572e84866afd45d1e67a534c836cda0a2a"
+    },
+    {
+      "bytes": 33704,
+      "path": "data/dev/p1e/mathlib-000967-0000-c1a47f2bbfe16a37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c1a47f2bbfe16a37e027a5a274f02ba8c5725e0b2cebbbaae92a0a771981a2db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000968.json b/manifests/batches/mathlib/000968.json
index f336a7c998f1822a80a438a90074a89bb4fcad28..5d9465f58249bb0cfcde29e5ceba696ee36def87 100644
--- a/manifests/batches/mathlib/000968.json
+++ b/manifests/batches/mathlib/000968.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000968",
   "batch_fingerprint": "f5bb346690a650f685f489a825ae81d617ac1ff4d40f2a07758a366cb9623b4c",
   "evidence": {
@@ -3862,29 +3861,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000968-0000-09b3ebc54d3e35d8.parquet",
-      "sha256": "09b3ebc54d3e35d85975061b4c3cfc52f251f11fac2abbbc248828f1af75cd9f",
-      "bytes": 67432,
-      "rows": 18,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000968-0000-82492eba4233a9ba.parquet",
-      "sha256": "82492eba4233a9bab4f2581fa8a52ba7d159d35b304386238cf430ecc93b9c6b",
-      "bytes": 35515,
-      "rows": 4,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000968-0000-3fa5b45f36a3194e.parquet",
-      "sha256": "3fa5b45f36a3194e35005c02b8e98ffd4c2d39f4b3ab09bc56e38cd632bba927",
-      "bytes": 42615,
-      "rows": 4,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.DecEq_eq",
     "mathlib:List.Palindrome.append_reverse",
@@ -3914,5 +3891,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Perm.lean\",null,null,\"List.rel_perm_imp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Perm.lean\",null,null,\"List.subperm_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Perm.lean\",null,null,\"List.subperm_nil\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67432,
+      "path": "data/train/pb7/mathlib-000968-0000-09b3ebc54d3e35d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "09b3ebc54d3e35d85975061b4c3cfc52f251f11fac2abbbc248828f1af75cd9f"
+    },
+    {
+      "bytes": 35515,
+      "path": "data/dev/pb7/mathlib-000968-0000-82492eba4233a9ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "82492eba4233a9bab4f2581fa8a52ba7d159d35b304386238cf430ecc93b9c6b"
+    },
+    {
+      "bytes": 42615,
+      "path": "data/internal_test/pb7/mathlib-000968-0000-3fa5b45f36a3194e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3fa5b45f36a3194e35005c02b8e98ffd4c2d39f4b3ab09bc56e38cd632bba927"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000969.json b/manifests/batches/mathlib/000969.json
index 507e4377022789bbb5f9da29f5137fd1bf404f24..f4733ece67483f14cdf3b25f1e990317ff01de3a 100644
--- a/manifests/batches/mathlib/000969.json
+++ b/manifests/batches/mathlib/000969.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000969",
   "batch_fingerprint": "77721ef1942f68a5acbd63b9df986b3d45371fd8042fc3568d73444561118612",
   "evidence": {
@@ -1087,22 +1086,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000969-0000-6cf5c3c91ddd6dd4.parquet",
-      "sha256": "6cf5c3c91ddd6dd40773c956190792591e82c91c7eeae5bb86ca784cc457ba33",
-      "bytes": 60435,
-      "rows": 12,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000969-0000-ff765c6b4a7a965a.parquet",
-      "sha256": "ff765c6b4a7a965aae6b11d059760dcc9e4e991c5d03d73f7724d326661223d5",
-      "bytes": 38584,
-      "rows": 2,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.length_permutationsAux2",
     "mathlib:List.map_permutations",
@@ -1128,5 +1112,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Permutation.lean\",null,null,\"List.permutations_append\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Permutation.lean\",null,null,\"List.permutations_nil\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Prime.lean\",null,null,\"mem_list_primes_of_dvd_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60435,
+      "path": "data/train/p98/mathlib-000969-0000-6cf5c3c91ddd6dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6cf5c3c91ddd6dd40773c956190792591e82c91c7eeae5bb86ca784cc457ba33"
+    },
+    {
+      "bytes": 38584,
+      "path": "data/dev/p98/mathlib-000969-0000-ff765c6b4a7a965a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ff765c6b4a7a965aae6b11d059760dcc9e4e991c5d03d73f7724d326661223d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000970.json b/manifests/batches/mathlib/000970.json
index be027af959f1f490fec45896038f8d4e26ca3196..fe386517a05d0418d5d26071302109e83cfa5831 100644
--- a/manifests/batches/mathlib/000970.json
+++ b/manifests/batches/mathlib/000970.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000970",
   "batch_fingerprint": "371938c4eb36877a7cfa7d251a548175a5007fd8c58d1fa92a06f7b400aacc60",
   "evidence": {
@@ -1015,22 +1014,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000970-0000-373663aa4c8656b6.parquet",
-      "sha256": "373663aa4c8656b6a2cb66ef06620c9ac4c439a5323e08b98128a9813d275441",
-      "bytes": 68704,
-      "rows": 19,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000970-0000-c460fe79e7d6b271.parquet",
-      "sha256": "c460fe79e7d6b271e6933677ee4377d5e911c52602169e71ede5fca11c3c4e99",
-      "bytes": 41312,
-      "rows": 2,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.chain_range_succ",
     "mathlib:List.finRange_eq_nil",
@@ -1070,5 +1054,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Range.lean\",null,null,\"List.ranges_nodup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Range.lean\",null,null,\"List.unzip_enumFrom_eq_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Range.lean\",null,null,\"List.unzip_enum_eq_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68704,
+      "path": "data/train/p11/mathlib-000970-0000-373663aa4c8656b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "373663aa4c8656b6a2cb66ef06620c9ac4c439a5323e08b98128a9813d275441"
+    },
+    {
+      "bytes": 41312,
+      "path": "data/internal_test/p11/mathlib-000970-0000-c460fe79e7d6b271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c460fe79e7d6b271e6933677ee4377d5e911c52602169e71ede5fca11c3c4e99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000971.json b/manifests/batches/mathlib/000971.json
index 17f3213573b82a9702cb26b180e30bfac80b97d3..46fc417a4c7f3c7367272222ea740fbd7dc600db 100644
--- a/manifests/batches/mathlib/000971.json
+++ b/manifests/batches/mathlib/000971.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000971",
   "batch_fingerprint": "b0f205c460328c527728fb7a2fabb37a6454a23fd1e5297136da02c96ba316c7",
   "evidence": {
@@ -2544,29 +2543,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000971-0000-2b012ec9519ec571.parquet",
-      "sha256": "2b012ec9519ec571bc3a3840a57a0cb51901a5ee7eb09bb4a690d745b0e70c1d",
-      "bytes": 190294,
-      "rows": 68,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000971-0000-e546402d573b3024.parquet",
-      "sha256": "e546402d573b30244bfa01ac0d9cfda2c6e61ec0dc5d8848db473da664a32116",
-      "bytes": 46639,
-      "rows": 6,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000971-0000-bcd308c87f0a8b6e.parquet",
-      "sha256": "bcd308c87f0a8b6e67aac7d7b0f564a9d91b57f6fd5ce0ef40cfc9f04bab3b9d",
-      "bytes": 37063,
-      "rows": 3,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.IsRotated.map",
     "mathlib:List.IsRotated.refl",
@@ -2684,5 +2661,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Rotate.lean\",null,null,\"List.singleton_eq_rotate_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Rotate.lean\",null,null,\"List.zipWith_rotate_distrib\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Rotate.lean\",null,null,\"List.zipWith_rotate_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190294,
+      "path": "data/train/p73/mathlib-000971-0000-2b012ec9519ec571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "2b012ec9519ec571bc3a3840a57a0cb51901a5ee7eb09bb4a690d745b0e70c1d"
+    },
+    {
+      "bytes": 46639,
+      "path": "data/dev/p73/mathlib-000971-0000-e546402d573b3024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e546402d573b30244bfa01ac0d9cfda2c6e61ec0dc5d8848db473da664a32116"
+    },
+    {
+      "bytes": 37063,
+      "path": "data/internal_test/p73/mathlib-000971-0000-bcd308c87f0a8b6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bcd308c87f0a8b6e67aac7d7b0f564a9d91b57f6fd5ce0ef40cfc9f04bab3b9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000972.json b/manifests/batches/mathlib/000972.json
index bac532c6bfcb5c9508d5948c6a4ffba89808cef8..fdb2c4a7f55bf6ca64b8647aad1f231ea323b959 100644
--- a/manifests/batches/mathlib/000972.json
+++ b/manifests/batches/mathlib/000972.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000972",
   "batch_fingerprint": "e7b25b4c7ef51355f6a04d5b8bee3519c851f83d6cb00f28002cc38fa8ae9b22",
   "evidence": {
@@ -3575,22 +3574,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000972-0000-a060bf96128ead1a.parquet",
-      "sha256": "a060bf96128ead1aa8249c8c6c781808f009c2a6ce374f85fa52534398efdf6d",
-      "bytes": 84844,
-      "rows": 30,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000972-0000-39587beacd198456.parquet",
-      "sha256": "39587beacd198456799780fac6731f25895c00a30aaafdcf8d580c985d5d05b1",
-      "bytes": 61783,
-      "rows": 8,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.NodupKeys.eq_of_mk_mem",
     "mathlib:List.Perm.kerase",
@@ -3634,5 +3618,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sigma.lean\",null,null,\"List.not_eq_key\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sigma.lean\",null,null,\"List.perm_dlookup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sigma.lean\",null,null,\"List.perm_lookupAll\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84844,
+      "path": "data/train/pea/mathlib-000972-0000-a060bf96128ead1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a060bf96128ead1aa8249c8c6c781808f009c2a6ce374f85fa52534398efdf6d"
+    },
+    {
+      "bytes": 61783,
+      "path": "data/internal_test/pea/mathlib-000972-0000-39587beacd198456.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "39587beacd198456799780fac6731f25895c00a30aaafdcf8d580c985d5d05b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000973.json b/manifests/batches/mathlib/000973.json
index 0c86da26a64286c4e69eff3c06457a2cb86b9186..6be960aa347ef91778147b64f4904d77d2001d6f 100644
--- a/manifests/batches/mathlib/000973.json
+++ b/manifests/batches/mathlib/000973.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000973",
   "batch_fingerprint": "e3dba04ba6621b6e93291a2199e054d823bb73afca20372e4edb57a2ea2af804",
   "evidence": {
@@ -3598,29 +3597,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000973-0000-134d84cffb2eaaad.parquet",
-      "sha256": "134d84cffb2eaaade781043743f3c24e27d89eef53cf983ad90b2a7da5774399",
-      "bytes": 160280,
-      "rows": 58,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000973-0000-204cfee4d50ed704.parquet",
-      "sha256": "204cfee4d50ed70460b22f042458ae2bd9f7cbb72874a527e48e39c53d1d74c7",
-      "bytes": 43508,
-      "rows": 2,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000973-0000-1a28b742e61076ad.parquet",
-      "sha256": "1a28b742e61076ad9ba69eaf1d2c6b34d053bf2b27ae1e6fa315834e5fadf45f",
-      "bytes": 56630,
-      "rows": 8,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Sorted.gt_of_ge",
     "mathlib:List.Sorted.insertionSort_eq",
@@ -3696,5 +3673,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sublists.lean\",null,null,\"List.sublists_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sublists.lean\",null,null,\"List.sublists_cons_perm_append\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Sublists.lean\",null,null,\"List.sublists_eq_sublists'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160280,
+      "path": "data/train/pf0/mathlib-000973-0000-134d84cffb2eaaad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "134d84cffb2eaaade781043743f3c24e27d89eef53cf983ad90b2a7da5774399"
+    },
+    {
+      "bytes": 43508,
+      "path": "data/dev/pf0/mathlib-000973-0000-204cfee4d50ed704.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "204cfee4d50ed70460b22f042458ae2bd9f7cbb72874a527e48e39c53d1d74c7"
+    },
+    {
+      "bytes": 56630,
+      "path": "data/internal_test/pf0/mathlib-000973-0000-1a28b742e61076ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1a28b742e61076ad9ba69eaf1d2c6b34d053bf2b27ae1e6fa315834e5fadf45f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000974.json b/manifests/batches/mathlib/000974.json
index 74c6af1ebef45794cf4e5fb3a394f64856ea6ce9..8648975798847ae9034be71f091804fa97e919c2 100644
--- a/manifests/batches/mathlib/000974.json
+++ b/manifests/batches/mathlib/000974.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000974",
   "batch_fingerprint": "757dd36a48374976ee7d205fc37937d74db54ec744a4db2a63dd8b06d581e6ab",
   "evidence": {
@@ -1760,22 +1759,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000974-0000-8fd20cc8c01c3eb3.parquet",
-      "sha256": "8fd20cc8c01c3eb3e3ba7e518dc2a42f7bbd978eac9b4b44c558b6757946b000",
-      "bytes": 55669,
-      "rows": 14,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000974-0000-e3ead71c4b043c30.parquet",
-      "sha256": "e3ead71c4b043c306eb6427c4c0fc89d94885329dfc92d4b374a888342b80bb4",
-      "bytes": 48188,
-      "rows": 3,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.Subperm.sym2",
     "mathlib:List.exists_tfae",
@@ -1797,5 +1781,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/TFAE.lean\",null,null,\"List.forall_tfae\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/TFAE.lean\",null,null,\"List.tfae_cons_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/TFAE.lean\",null,null,\"List.tfae_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55669,
+      "path": "data/train/pff/mathlib-000974-0000-8fd20cc8c01c3eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8fd20cc8c01c3eb3e3ba7e518dc2a42f7bbd978eac9b4b44c558b6757946b000"
+    },
+    {
+      "bytes": 48188,
+      "path": "data/dev/pff/mathlib-000974-0000-e3ead71c4b043c30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e3ead71c4b043c306eb6427c4c0fc89d94885329dfc92d4b374a888342b80bb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000975.json b/manifests/batches/mathlib/000975.json
index bd4957b5bcfefa728c33d71cc3aceee424e56039..c9b914bea651fd0ee247207f38a46faa26778be5 100644
--- a/manifests/batches/mathlib/000975.json
+++ b/manifests/batches/mathlib/000975.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000975",
   "batch_fingerprint": "b8fd01dee054887b3b1e13403df45067223e3535af25e7b574c7c662eb1f15fe",
   "evidence": {
@@ -1522,29 +1521,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000975-0000-43841d7cd3cfc6d9.parquet",
-      "sha256": "43841d7cd3cfc6d950cabbb07d0b46dd06dcea3772c929053203241fa5674884",
-      "bytes": 74645,
-      "rows": 31,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/mathlib-000975-0000-3a1744f355bfce80.parquet",
-      "sha256": "3a1744f355bfce80ff1d7423115cfd0a54472dd4ec33d4f8e0f155481fa39685",
-      "bytes": 40605,
-      "rows": 4,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/mathlib-000975-0000-a9b01b9c0531e6d5.parquet",
-      "sha256": "a9b01b9c0531e6d530efe5fcf7b834ba0463547fcf514bcd4ed82635232ec5a2",
-      "bytes": 37091,
-      "rows": 1,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.get?_zip_eq_some",
     "mathlib:List.get?_zip_with",
@@ -1598,5 +1575,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Zip.lean\",null,null,\"List.zipWith_comm_of_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Zip.lean\",null,null,\"List.zip_of_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/List/Zip.lean\",null,null,\"List.zip_unzip\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74645,
+      "path": "data/train/pae/mathlib-000975-0000-43841d7cd3cfc6d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "43841d7cd3cfc6d950cabbb07d0b46dd06dcea3772c929053203241fa5674884"
+    },
+    {
+      "bytes": 40605,
+      "path": "data/dev/pae/mathlib-000975-0000-3a1744f355bfce80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3a1744f355bfce80ff1d7423115cfd0a54472dd4ec33d4f8e0f155481fa39685"
+    },
+    {
+      "bytes": 37091,
+      "path": "data/internal_test/pae/mathlib-000975-0000-a9b01b9c0531e6d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a9b01b9c0531e6d530efe5fcf7b834ba0463547fcf514bcd4ed82635232ec5a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000976.json b/manifests/batches/mathlib/000976.json
index d5c478f4912b0f4cc157d97e5319e420ee176f34..db632eb91fb270d497a1a3b98d66ba894b1bfb7f 100644
--- a/manifests/batches/mathlib/000976.json
+++ b/manifests/batches/mathlib/000976.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000976",
   "batch_fingerprint": "7985240edd9cd2e38b06dcd48ecca2a88e256c4cfd8d33cdaa09268c5212a41b",
   "evidence": {
@@ -5221,29 +5220,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000976-0000-0acef3d712d550e6.parquet",
-      "sha256": "0acef3d712d550e66351d5df2902ec59feafa780003ef4e458945f79436803a5",
-      "bytes": 794284,
-      "rows": 238,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000976-0000-4674592244e50348.parquet",
-      "sha256": "4674592244e503486ea3b90e4dc6c0d559c9c073e9d4effbf745344545e44efe",
-      "bytes": 59860,
-      "rows": 6,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000976-0000-4aea7c5b52cc30f3.parquet",
-      "sha256": "4aea7c5b52cc30f33fb2446c82f3c407446adcfb524ea95b458bbb14d255bdb4",
-      "bytes": 76585,
-      "rows": 13,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.StdBasisMatrix.apply_of_col_ne",
     "mathlib:Matrix.StdBasisMatrix.apply_of_ne",
@@ -5559,5 +5536,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Basis.lean\",null,null,\"Matrix.stdBasisMatrix_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Basis.lean\",null,null,\"Matrix.stdBasisMatrix_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Basis.lean\",null,null,\"Matrix.std_basis_eq_basis_mul_basis\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 794284,
+      "path": "data/train/pd6/mathlib-000976-0000-0acef3d712d550e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 238,
+      "sha256": "0acef3d712d550e66351d5df2902ec59feafa780003ef4e458945f79436803a5"
+    },
+    {
+      "bytes": 59860,
+      "path": "data/dev/pd6/mathlib-000976-0000-4674592244e50348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4674592244e503486ea3b90e4dc6c0d559c9c073e9d4effbf745344545e44efe"
+    },
+    {
+      "bytes": 76585,
+      "path": "data/internal_test/pd6/mathlib-000976-0000-4aea7c5b52cc30f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4aea7c5b52cc30f33fb2446c82f3c407446adcfb524ea95b458bbb14d255bdb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000977.json b/manifests/batches/mathlib/000977.json
index 208c5de6b2e5a4272bff1270d5fe5dd7243c7f64..b2df5bf2b32cd5c793a96c8d9ae71453501c4594 100644
--- a/manifests/batches/mathlib/000977.json
+++ b/manifests/batches/mathlib/000977.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000977",
   "batch_fingerprint": "99adf8871f15cf0cc4241e92920c019ebd99b72923a86e5c999bad647efd7183",
   "evidence": {
@@ -2127,29 +2126,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000977-0000-7f14ec1d7ba50069.parquet",
-      "sha256": "7f14ec1d7ba500694453b8181c38b760719777af21de9ff4e0763fcb22666e94",
-      "bytes": 376045,
-      "rows": 89,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000977-0000-7c08eb4c5abe0b7b.parquet",
-      "sha256": "7c08eb4c5abe0b7b9de3e361effbdb17eaef7ad51c70455e841e684746896d24",
-      "bytes": 108624,
-      "rows": 13,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000977-0000-0fbc251c70e8a5c5.parquet",
-      "sha256": "0fbc251c70e8a5c539cc9776328e39e9a69695402a9a7dea46fdadc7aaeafa1a",
-      "bytes": 95562,
-      "rows": 13,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.blockDiagonal'_add",
     "mathlib:Matrix.blockDiagonal'_apply",
@@ -2273,5 +2250,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/ColumnRowPartitioned.lean\",null,null,\"Matrix.transpose_fromColumns\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/ColumnRowPartitioned.lean\",null,null,\"Matrix.transpose_fromRows\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/ColumnRowPartitioned.lean\",null,null,\"Matrix.vecMul_fromColumns\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376045,
+      "path": "data/train/pe7/mathlib-000977-0000-7f14ec1d7ba50069.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "7f14ec1d7ba500694453b8181c38b760719777af21de9ff4e0763fcb22666e94"
+    },
+    {
+      "bytes": 108624,
+      "path": "data/dev/pe7/mathlib-000977-0000-7c08eb4c5abe0b7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7c08eb4c5abe0b7b9de3e361effbdb17eaef7ad51c70455e841e684746896d24"
+    },
+    {
+      "bytes": 95562,
+      "path": "data/internal_test/pe7/mathlib-000977-0000-0fbc251c70e8a5c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0fbc251c70e8a5c539cc9776328e39e9a69695402a9a7dea46fdadc7aaeafa1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000978.json b/manifests/batches/mathlib/000978.json
index ff88c3435a0853945b3ef70282506b75c84d7079..cba7785a0efd54f56d34bd7deb39e35c16d3bc6a 100644
--- a/manifests/batches/mathlib/000978.json
+++ b/manifests/batches/mathlib/000978.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000978",
   "batch_fingerprint": "c463f0c0f21b21d6cd09c85073fb6452987cf5719725be79f996ebba5e5cca5b",
   "evidence": {
@@ -392,22 +391,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000978-0000-f41cd7238da9824d.parquet",
-      "sha256": "f41cd7238da9824d40841672221f583609c6f29fbdd65e48f638d983f5e33a96",
-      "bytes": 75532,
-      "rows": 13,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000978-0000-de3367856e1c2746.parquet",
-      "sha256": "de3367856e1c27468b256c990549acdd8120a24809c04cac64f942df1a155cab",
-      "bytes": 44973,
-      "rows": 2,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DMatrix.ext_iff",
     "mathlib:DMatrix.map_add",
@@ -427,5 +411,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Hadamard.lean\",null,null,\"Matrix.dotProduct_vecMul_hadamard\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Hadamard.lean\",null,null,\"Matrix.hadamard_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Hadamard.lean\",null,null,\"Matrix.one_hadamard\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75532,
+      "path": "data/train/pa4/mathlib-000978-0000-f41cd7238da9824d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f41cd7238da9824d40841672221f583609c6f29fbdd65e48f638d983f5e33a96"
+    },
+    {
+      "bytes": 44973,
+      "path": "data/internal_test/pa4/mathlib-000978-0000-de3367856e1c2746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de3367856e1c27468b256c990549acdd8120a24809c04cac64f942df1a155cab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000979.json b/manifests/batches/mathlib/000979.json
index ca75016fb487e3468d02f28ca18be8e0d3ced6f0..dfccb6d961c582277a9371243971d28124d6fc40 100644
--- a/manifests/batches/mathlib/000979.json
+++ b/manifests/batches/mathlib/000979.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000979",
   "batch_fingerprint": "a61a670345fde1f3b22b4bc59e009bcfbe1e9172236d6d38bd8d9b3ac4aec6bf",
   "evidence": {
@@ -1396,22 +1395,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000979-0000-55b127d296d306e3.parquet",
-      "sha256": "55b127d296d306e39916cb0234d295c3310c25068db2a826d8a6751686e4e56c",
-      "bytes": 211056,
-      "rows": 25,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000979-0000-910a39068ec32991.parquet",
-      "sha256": "910a39068ec3299193451796cfe5d8d8fb9ebc611dc6039afe3542446f464d72",
-      "bytes": 63536,
-      "rows": 5,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.det_kroneckerTMul",
     "mathlib:Matrix.invOf_mul_self_assoc",
@@ -1447,5 +1431,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Kronecker.lean\",null,null,\"Matrix.natCast_kronecker\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Kronecker.lean\",null,null,\"Matrix.natCast_kronecker_natCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Kronecker.lean\",null,null,\"Matrix.trace_kroneckerMapBilinear\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211056,
+      "path": "data/train/pb5/mathlib-000979-0000-55b127d296d306e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "55b127d296d306e39916cb0234d295c3310c25068db2a826d8a6751686e4e56c"
+    },
+    {
+      "bytes": 63536,
+      "path": "data/internal_test/pb5/mathlib-000979-0000-910a39068ec32991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "910a39068ec3299193451796cfe5d8d8fb9ebc611dc6039afe3542446f464d72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000980.json b/manifests/batches/mathlib/000980.json
index 1cc52983b9daafbd6966f364e761751ba995cde9..509ea69bc1e509390616fa3a9b5b2727cf9ace7d 100644
--- a/manifests/batches/mathlib/000980.json
+++ b/manifests/batches/mathlib/000980.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000980",
   "batch_fingerprint": "14bcb46392d1e3a226d524e8c14cddab97756527bb9bf977d02cd3661e208ae4",
   "evidence": {
@@ -1064,29 +1063,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000980-0000-f0f754c1a23df2a2.parquet",
-      "sha256": "f0f754c1a23df2a24b072fd3c45b99684053c0e8d7f000d223842c616e7cd4fa",
-      "bytes": 219305,
-      "rows": 54,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000980-0000-58b2c4a6ecf27083.parquet",
-      "sha256": "58b2c4a6ecf270832320f97d476ef3c38f94a988c1c4201fdf2256ae02571c84",
-      "bytes": 54019,
-      "rows": 5,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000980-0000-9bbdf17f73098d1d.parquet",
-      "sha256": "9bbdf17f73098d1dbd1671918cd80b0860c0a76aae3031237b8e1107617ed06b",
-      "bytes": 58720,
-      "rows": 7,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.col_cons",
     "mathlib:Matrix.cons_dotProduct",
@@ -1166,5 +1143,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/PEquiv.lean\",null,null,\"PEquiv.toMatrix_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/PEquiv.lean\",null,null,\"PEquiv.toMatrix_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/PEquiv.lean\",null,null,\"PEquiv.toPEquiv_mul_matrix\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219305,
+      "path": "data/train/pf9/mathlib-000980-0000-f0f754c1a23df2a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "f0f754c1a23df2a24b072fd3c45b99684053c0e8d7f000d223842c616e7cd4fa"
+    },
+    {
+      "bytes": 54019,
+      "path": "data/dev/pf9/mathlib-000980-0000-58b2c4a6ecf27083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "58b2c4a6ecf270832320f97d476ef3c38f94a988c1c4201fdf2256ae02571c84"
+    },
+    {
+      "bytes": 58720,
+      "path": "data/internal_test/pf9/mathlib-000980-0000-9bbdf17f73098d1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9bbdf17f73098d1dbd1671918cd80b0860c0a76aae3031237b8e1107617ed06b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000981.json b/manifests/batches/mathlib/000981.json
index c6543874ed72610a16d80722df356355f9a0e4c9..34f36bd37dab27dca2a8c6eceee126921f7c88c6 100644
--- a/manifests/batches/mathlib/000981.json
+++ b/manifests/batches/mathlib/000981.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000981",
   "batch_fingerprint": "5e1ae814a262b511a44930aa16e7636c2d90ba045aa56ff7dd015d1af557de47",
   "evidence": {
@@ -815,29 +814,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000981-0000-84ff18823687f5be.parquet",
-      "sha256": "84ff18823687f5be4caae924822f1b547710ef75733149b7797d54f6ea678884",
-      "bytes": 178411,
-      "rows": 38,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000981-0000-f358eb02077f7ecc.parquet",
-      "sha256": "f358eb02077f7ecc7d75117f4d043d1ed1e7fd0fd270fa183cb0be7a78fd90c0",
-      "bytes": 43788,
-      "rows": 1,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000981-0000-fdf0db867b993fbb.parquet",
-      "sha256": "fdf0db867b993fbbc2cbb549d265b93cfe758d7ed86a9a35c931cad4093490de",
-      "bytes": 57914,
-      "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.dotProduct\u1d63_eq",
     "mathlib:Matrix.etaExpand_eq",
@@ -889,5 +866,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Reflection.lean\",null,null,\"Matrix.mulVec\u1d63_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Reflection.lean\",null,null,\"Matrix.mul\u1d63_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matrix/Reflection.lean\",null,null,\"Matrix.vecMul\u1d63_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178411,
+      "path": "data/train/pae/mathlib-000981-0000-84ff18823687f5be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "84ff18823687f5be4caae924822f1b547710ef75733149b7797d54f6ea678884"
+    },
+    {
+      "bytes": 43788,
+      "path": "data/dev/pae/mathlib-000981-0000-f358eb02077f7ecc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f358eb02077f7ecc7d75117f4d043d1ed1e7fd0fd270fa183cb0be7a78fd90c0"
+    },
+    {
+      "bytes": 57914,
+      "path": "data/internal_test/pae/mathlib-000981-0000-fdf0db867b993fbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fdf0db867b993fbbc2cbb549d265b93cfe758d7ed86a9a35c931cad4093490de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000982.json b/manifests/batches/mathlib/000982.json
index aa70269741adfa24db9eab7d68f79dfe18b9e4e5..7611db12f756fc21b29442f1343f25daf1d3b9b3 100644
--- a/manifests/batches/mathlib/000982.json
+++ b/manifests/batches/mathlib/000982.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000982",
   "batch_fingerprint": "80a7d6030ec2b29b3f75f9eb42dc65d11fd002a6adab70768334f0afb2fb9869",
   "evidence": {
@@ -3741,29 +3740,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000982-0000-2c4641e4cda0e236.parquet",
-      "sha256": "2c4641e4cda0e2362fb3d2f7b4f689711fdce2bf2bf6e4301fd0234bd2599475",
-      "bytes": 397700,
-      "rows": 148,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000982-0000-8556493a0288f03a.parquet",
-      "sha256": "8556493a0288f03a75321d520df9bc0d8f987f0f63a2c28ca35a1b7e9c8739a8",
-      "bytes": 45219,
-      "rows": 5,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000982-0000-21d5e0662ae85323.parquet",
-      "sha256": "21d5e0662ae85323f230cf65de5b3ac7df3a9531b808efbe28f5bcda64c8d2a3",
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-      "rows": 17,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.col_add",
     "mathlib:Matrix.col_mulVec",
@@ -3929,5 +3906,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Basic.lean\",null,null,\"Matroid.setOf_base_eq_maximals_setOf_indep\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Basic.lean\",null,null,\"Matroid.setOf_indep_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397700,
+      "path": "data/train/p32/mathlib-000982-0000-2c4641e4cda0e236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 148,
+      "sha256": "2c4641e4cda0e2362fb3d2f7b4f689711fdce2bf2bf6e4301fd0234bd2599475"
+    },
+    {
+      "bytes": 45219,
+      "path": "data/dev/p32/mathlib-000982-0000-8556493a0288f03a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8556493a0288f03a75321d520df9bc0d8f987f0f63a2c28ca35a1b7e9c8739a8"
+    },
+    {
+      "bytes": 68523,
+      "path": "data/internal_test/p32/mathlib-000982-0000-21d5e0662ae85323.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "21d5e0662ae85323f230cf65de5b3ac7df3a9531b808efbe28f5bcda64c8d2a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000983.json b/manifests/batches/mathlib/000983.json
index 1a561c1909bd605e36bde6f061d176321051353f..b0b2186e3474faf355504db54f739096ac0c113a 100644
--- a/manifests/batches/mathlib/000983.json
+++ b/manifests/batches/mathlib/000983.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000983",
   "batch_fingerprint": "e86937b13b3ca0c369667ac72b50bdb6b2884ea9dd0b1e76cebf136cd1eedd0b",
   "evidence": {
@@ -942,29 +941,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000983-0000-93547d4ae8610929.parquet",
-      "sha256": "93547d4ae8610929e47e4eeeee1e400e4bc66341c1facd932d571f6d4f6d78ae",
-      "bytes": 186159,
-      "rows": 69,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000983-0000-4789e54fb4d52f63.parquet",
-      "sha256": "4789e54fb4d52f637aca1ea079854260da01f3ccb973d5a83bcc1e53d0d70274",
-      "bytes": 30421,
-      "rows": 1,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000983-0000-c02f52e01862e808.parquet",
-      "sha256": "c02f52e01862e808fd4f166d6535c074b15ccd31f43c70ec4178328c0d64ab2d",
-      "bytes": 37058,
-      "rows": 2,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matroid.Base.compl_base_dual",
     "mathlib:Matroid.Base.ssubset_ground",
@@ -1062,5 +1039,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Dual.lean\",null,null,\"Matroid.eq_dual_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Dual.lean\",null,null,\"Matroid.ground_not_base\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Dual.lean\",null,null,\"Matroid.setOf_dual_base_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186159,
+      "path": "data/train/pf9/mathlib-000983-0000-93547d4ae8610929.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "93547d4ae8610929e47e4eeeee1e400e4bc66341c1facd932d571f6d4f6d78ae"
+    },
+    {
+      "bytes": 30421,
+      "path": "data/dev/pf9/mathlib-000983-0000-4789e54fb4d52f63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4789e54fb4d52f637aca1ea079854260da01f3ccb973d5a83bcc1e53d0d70274"
+    },
+    {
+      "bytes": 37058,
+      "path": "data/internal_test/pf9/mathlib-000983-0000-c02f52e01862e808.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c02f52e01862e808fd4f166d6535c074b15ccd31f43c70ec4178328c0d64ab2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000984.json b/manifests/batches/mathlib/000984.json
index f868373c47f7dd10cf10e116b909aaa50f3fe5ba..bf4ea678e2726c1a948beef61a15c7cff8c6c3cf 100644
--- a/manifests/batches/mathlib/000984.json
+++ b/manifests/batches/mathlib/000984.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000984",
   "batch_fingerprint": "7cbddaa875398825dca0580423b9503923aee7ed159bb305a4ba187d0c24ab13",
   "evidence": {
@@ -2147,22 +2146,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000984-0000-7c9920aecefe031f.parquet",
-      "sha256": "7c9920aecefe031fc087ad9b3744274ad380dce7c295a100d0b23125e6533385",
-      "bytes": 150844,
-      "rows": 51,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000984-0000-b4216a2d54063a2a.parquet",
-      "sha256": "b4216a2d54063a2ac6d5b386bf34efa9189395f15dc0f614ae140d126c75b098",
-      "bytes": 41759,
-      "rows": 4,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IndepMatroid.ofFinset_indep",
     "mathlib:IndepMatroid.ofFinset_indep'",
@@ -2226,5 +2210,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Map.lean\",null,null,\"Matroid.restrictSubtype_indep_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Map.lean\",null,null,\"Matroid.restrictSubtype_indep_iff_of_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Matroid/Map.lean\",null,null,\"Matroid.restrictSubtype_inter_indep_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150844,
+      "path": "data/train/p87/mathlib-000984-0000-7c9920aecefe031f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "7c9920aecefe031fc087ad9b3744274ad380dce7c295a100d0b23125e6533385"
+    },
+    {
+      "bytes": 41759,
+      "path": "data/internal_test/p87/mathlib-000984-0000-b4216a2d54063a2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b4216a2d54063a2ac6d5b386bf34efa9189395f15dc0f614ae140d126c75b098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000985.json b/manifests/batches/mathlib/000985.json
index 8124737e8a73da6df3962d12ffa63bb01b154089..37d4b2c464c485ea4da761a6b8c72e35e487a9b9 100644
--- a/manifests/batches/mathlib/000985.json
+++ b/manifests/batches/mathlib/000985.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000985",
   "batch_fingerprint": "8bec7ee68ea9e4450008ebb9675c966a3aa60c1c4a5c88d13c733a470cfd67cb",
   "evidence": {
@@ -829,29 +828,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000985-0000-ee564c38d33bab80.parquet",
-      "sha256": "ee564c38d33bab8015ef4421973148d5907e0cb63361713c4749d7029caf642c",
-      "bytes": 205361,
-      "rows": 83,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000985-0000-ce5f48c60d1a1eb8.parquet",
-      "sha256": "ce5f48c60d1a1eb84d013996acfe6c699c2d677e8473f817721e8dfd4c5cb305",
-      "bytes": 44708,
-      "rows": 6,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000985-0000-a040034e12e4e206.parquet",
-      "sha256": "a040034e12e4e20699e4a13fd517f4473403590c24c30c3c74e3bb0748f396b3",
-      "bytes": 49256,
-      "rows": 5,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matroid.Base.basis_of_restriction",
     "mathlib:Matroid.Basis'.encard_eq_encard",
@@ -943,5 +920,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Antidiagonal.lean\",null,null,\"Multiset.antidiagonal_map_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Antidiagonal.lean\",null,null,\"Multiset.antidiagonal_map_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Antidiagonal.lean\",null,null,\"Multiset.card_antidiagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205361,
+      "path": "data/train/p3a/mathlib-000985-0000-ee564c38d33bab80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 83,
+      "sha256": "ee564c38d33bab8015ef4421973148d5907e0cb63361713c4749d7029caf642c"
+    },
+    {
+      "bytes": 44708,
+      "path": "data/dev/p3a/mathlib-000985-0000-ce5f48c60d1a1eb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ce5f48c60d1a1eb84d013996acfe6c699c2d677e8473f817721e8dfd4c5cb305"
+    },
+    {
+      "bytes": 49256,
+      "path": "data/internal_test/p3a/mathlib-000985-0000-a040034e12e4e206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a040034e12e4e20699e4a13fd517f4473403590c24c30c3c74e3bb0748f396b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000986.json b/manifests/batches/mathlib/000986.json
index 136a81dc59ee5a5b80052de1129e76b9156ef7df..79a25db156d818c02a95e38eb3442ecd2f395f6d 100644
--- a/manifests/batches/mathlib/000986.json
+++ b/manifests/batches/mathlib/000986.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000986",
   "batch_fingerprint": "004b33b5431d6081119c216ef8bb19b4467b5308ca0ec4a8ef57af7ad187f954",
   "evidence": {
@@ -10011,29 +10010,7 @@
     "validation_rejected_proofs": 28,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000986-0000-43683b95abdf1e75.parquet",
-      "sha256": "43683b95abdf1e75f97f4aa2ee818282e6c165e99456d402e896fc041150c78f",
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-      "rows": 197,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/mathlib-000986-0000-36e4dcacf35a5c2e.parquet",
-      "sha256": "36e4dcacf35a5c2ea8ac5eeebbfcae4ecc21c58b99617ca86ad140e3037f8b2d",
-      "bytes": 42631,
-      "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/mathlib-000986-0000-5d91033d95916f81.parquet",
-      "sha256": "5d91033d95916f81f523a688b6d59746460e9ca542e61738bf00ebb0f6b2910f",
-      "bytes": 133199,
-      "rows": 34,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Nodup.product",
     "mathlib:Multiset.Nodup.sigma",
@@ -10361,5 +10338,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Bind.lean\",null,null,\"Multiset.rel_bind\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Bind.lean\",null,null,\"Multiset.sigma_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Bind.lean\",null,null,\"Multiset.singleton_bind\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 545495,
+      "path": "data/train/p67/mathlib-000986-0000-43683b95abdf1e75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 197,
+      "sha256": "43683b95abdf1e75f97f4aa2ee818282e6c165e99456d402e896fc041150c78f"
+    },
+    {
+      "bytes": 42631,
+      "path": "data/dev/p67/mathlib-000986-0000-36e4dcacf35a5c2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "36e4dcacf35a5c2ea8ac5eeebbfcae4ecc21c58b99617ca86ad140e3037f8b2d"
+    },
+    {
+      "bytes": 133199,
+      "path": "data/internal_test/p67/mathlib-000986-0000-5d91033d95916f81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "5d91033d95916f81f523a688b6d59746460e9ca542e61738bf00ebb0f6b2910f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000987.json b/manifests/batches/mathlib/000987.json
index 773dadd9c5fadf61ca1d72c95153e3f6789f6d8a..b1574282269eb9ccfb0a25600c0b8d5c4b626849 100644
--- a/manifests/batches/mathlib/000987.json
+++ b/manifests/batches/mathlib/000987.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000987",
   "batch_fingerprint": "e6dbe794a9b5aeea60aa67bdc9afd1613ef32cd46e31b055c773bdb14a563f42",
   "evidence": {
@@ -1251,22 +1250,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000987-0000-193325897ed0106e.parquet",
-      "sha256": "193325897ed0106ef58a235633f8271e5a33c0eccdf56f107caf0e69c11bf041",
-      "bytes": 62752,
-      "rows": 21,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000987-0000-559561181b9f082f.parquet",
-      "sha256": "559561181b9f082f060dce39d0f7ea74aa34118236a10ef010a2474d2e0115c0",
-      "bytes": 33163,
-      "rows": 1,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Nodup.le_dedup_iff_le",
     "mathlib:Multiset.coe_ndinter",
@@ -1304,5 +1288,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/FinsetOps.lean\",null,null,\"Multiset.mem_ndinter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/FinsetOps.lean\",null,null,\"Multiset.ndinter_cons_of_not_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/FinsetOps.lean\",null,null,\"Multiset.ndinter_eq_zero_iff_disjoint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62752,
+      "path": "data/train/p0b/mathlib-000987-0000-193325897ed0106e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "193325897ed0106ef58a235633f8271e5a33c0eccdf56f107caf0e69c11bf041"
+    },
+    {
+      "bytes": 33163,
+      "path": "data/internal_test/p0b/mathlib-000987-0000-559561181b9f082f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "559561181b9f082f060dce39d0f7ea74aa34118236a10ef010a2474d2e0115c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000988.json b/manifests/batches/mathlib/000988.json
index a578c683937e3f2c6b78e76b55b9cb05b960cb95..9468391e4fdcec0e0bd33ed52376c78fe9d1572f 100644
--- a/manifests/batches/mathlib/000988.json
+++ b/manifests/batches/mathlib/000988.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000988",
   "batch_fingerprint": "d51b1bc01b287f08a7252239f832bc9908d1588130ac5299dff011ea57b46c2a",
   "evidence": {
@@ -750,15 +749,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000988-0000-161cb14f9f9e2a8c.parquet",
-      "sha256": "161cb14f9f9e2a8c1fa0d7d1cea3a51a14a491d2874b559714ca9e7716b817f5",
-      "bytes": 84811,
-      "rows": 32,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.card_toEnumFinset",
     "mathlib:Multiset.coe_fold_l",
@@ -798,5 +789,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Fold.lean\",null,null,\"Multiset.fold_cons'_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Fold.lean\",null,null,\"Multiset.fold_cons_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Fold.lean\",null,null,\"Multiset.fold_union_inter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84811,
+      "path": "data/train/p06/mathlib-000988-0000-161cb14f9f9e2a8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "161cb14f9f9e2a8c1fa0d7d1cea3a51a14a491d2874b559714ca9e7716b817f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000989.json b/manifests/batches/mathlib/000989.json
index 019589542c33061acf1a7d2346bbc9247e2b86d7..897e4060852c2a7ce093bf801c6d42e998e1aa1c 100644
--- a/manifests/batches/mathlib/000989.json
+++ b/manifests/batches/mathlib/000989.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000989",
   "batch_fingerprint": "5e011b3643e849136a7dc35f350facb093f0184f36b040bd04817e198d974ed5",
   "evidence": {
@@ -106,22 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000989-0000-5cfa39ea654500db.parquet",
-      "sha256": "5cfa39ea654500dbd1cb7de598f7cda6acdb6d0fa16f8f1c7a095f09c4c6529f",
-      "bytes": 94618,
-      "rows": 26,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000989-0000-6f93f7819ce97897.parquet",
-      "sha256": "6f93f7819ce978976bcde0d3c0d94e2bd0b260e6ea6bf551e9ebf1f1d414bff4",
-      "bytes": 35585,
-      "rows": 2,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.card_Icc",
     "mathlib:Multiset.card_Ico",
@@ -151,5 +135,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Interval.lean\",null,null,\"Multiset.card_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Interval.lean\",null,null,\"Multiset.card_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Interval.lean\",null,null,\"Multiset.uIcc_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94618,
+      "path": "data/train/p3a/mathlib-000989-0000-5cfa39ea654500db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5cfa39ea654500dbd1cb7de598f7cda6acdb6d0fa16f8f1c7a095f09c4c6529f"
+    },
+    {
+      "bytes": 35585,
+      "path": "data/internal_test/p3a/mathlib-000989-0000-6f93f7819ce97897.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6f93f7819ce978976bcde0d3c0d94e2bd0b260e6ea6bf551e9ebf1f1d414bff4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000990.json b/manifests/batches/mathlib/000990.json
index 10e876fb4a0d8b114926c66090d33ecef09a6e93..d4d65482d9416281ea08683e1a3f61e5c637f441 100644
--- a/manifests/batches/mathlib/000990.json
+++ b/manifests/batches/mathlib/000990.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000990",
   "batch_fingerprint": "4a0bed7db2f1fb95ba5f77fb150f1322675eee1f997e645f11ddef4aaeddc03f",
   "evidence": {
@@ -491,29 +490,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000990-0000-6a0fcb9b6b924bbb.parquet",
-      "sha256": "6a0fcb9b6b924bbb48895e87861fb31490c5a87e4f7547b876b74e071f7b3ffe",
-      "bytes": 57225,
-      "rows": 16,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/dev/mathlib-000990-0000-a2103c1b6fabdb6c.parquet",
-      "sha256": "a2103c1b6fabdb6c6bb9586b25e2b91527e875f8f9862eb45ea85f6e0f9dbfd5",
-      "bytes": 33434,
-      "rows": 1,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000990-0000-55f722922459953a.parquet",
-      "sha256": "55f722922459953a615c4e8784871d80b11eb6c46883b315f3bb2ac914e8c9b0",
-      "bytes": 43394,
-      "rows": 2,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Nat.antidiagonal_succ",
     "mathlib:Multiset.Nat.antidiagonal_succ'",
@@ -543,5 +520,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/NatAntidiagonal.lean\",null,null,\"Multiset.Nat.card_antidiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/NatAntidiagonal.lean\",null,null,\"Multiset.Nat.map_swap_antidiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/NatAntidiagonal.lean\",null,null,\"Multiset.Nat.mem_antidiagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57225,
+      "path": "data/train/pb7/mathlib-000990-0000-6a0fcb9b6b924bbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6a0fcb9b6b924bbb48895e87861fb31490c5a87e4f7547b876b74e071f7b3ffe"
+    },
+    {
+      "bytes": 33434,
+      "path": "data/dev/pb7/mathlib-000990-0000-a2103c1b6fabdb6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a2103c1b6fabdb6c6bb9586b25e2b91527e875f8f9862eb45ea85f6e0f9dbfd5"
+    },
+    {
+      "bytes": 43394,
+      "path": "data/internal_test/pb7/mathlib-000990-0000-55f722922459953a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "55f722922459953a615c4e8784871d80b11eb6c46883b315f3bb2ac914e8c9b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000991.json b/manifests/batches/mathlib/000991.json
index 7a1d9962482860690bbfba9f1777104820151127..80fee2884adacd27139b5787888ef7e9f9302e7e 100644
--- a/manifests/batches/mathlib/000991.json
+++ b/manifests/batches/mathlib/000991.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000991",
   "batch_fingerprint": "735cf8259cc0676686368e3639b8089f7b7b9bb34fed01bf61800eb44eaed5ef",
   "evidence": {
@@ -1643,15 +1642,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000991-0000-fd9cfa8b9d868e85.parquet",
-      "sha256": "fd9cfa8b9d868e852fe41eb5d0fdc99c9d7539472dc60e7b53017fdfd0dfb1d6",
-      "bytes": 56289,
-      "rows": 11,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Nodup.add_iff",
     "mathlib:Multiset.Nodup.mem_erase_iff",
@@ -1669,5 +1660,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Nodup.lean\",null,null,\"Multiset.nodup_iff_count_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Nodup.lean\",null,null,\"Multiset.nodup_iff_ne_cons_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Nodup.lean\",null,null,\"Multiset.nodup_union\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56289,
+      "path": "data/train/p50/mathlib-000991-0000-fd9cfa8b9d868e85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fd9cfa8b9d868e852fe41eb5d0fdc99c9d7539472dc60e7b53017fdfd0dfb1d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000992.json b/manifests/batches/mathlib/000992.json
index 47709ed78ed6e6f66d639250347e9550fdf50ba5..dbdfdb2f91a99c2a6092c8edc8722d3ea226dae0 100644
--- a/manifests/batches/mathlib/000992.json
+++ b/manifests/batches/mathlib/000992.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000992",
   "batch_fingerprint": "8522190422c5cbdef8c66599eaada9050a1611d92c82232ff4fe4c94089dde40",
   "evidence": {
@@ -910,29 +909,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000992-0000-2ac2efb1893239dd.parquet",
-      "sha256": "2ac2efb1893239ddde8faa02b985b38ddea53b4ddccfb4ae729b237a7838e571",
-      "bytes": 131567,
-      "rows": 41,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/dev/mathlib-000992-0000-6f87d78ee10464dd.parquet",
-      "sha256": "6f87d78ee10464ddb4fb5ee974a27c16b397f11076d13808725b7d599d566274",
-      "bytes": 39482,
-      "rows": 4,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000992-0000-1fa4d22ab1a3431b.parquet",
-      "sha256": "1fa4d22ab1a3431b1a1a17b4f031655b0bf635c25d0853ab11cd5cd1e77f1097",
-      "bytes": 54685,
-      "rows": 9,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.bind_powerset_len",
     "mathlib:Multiset.card_powerset",
@@ -988,5 +965,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Range.lean\",null,null,\"Multiset.range_add_eq_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Range.lean\",null,null,\"Multiset.range_disjoint_map_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Range.lean\",null,null,\"Multiset.range_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131567,
+      "path": "data/train/p7a/mathlib-000992-0000-2ac2efb1893239dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "2ac2efb1893239ddde8faa02b985b38ddea53b4ddccfb4ae729b237a7838e571"
+    },
+    {
+      "bytes": 39482,
+      "path": "data/dev/p7a/mathlib-000992-0000-6f87d78ee10464dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f87d78ee10464ddb4fb5ee974a27c16b397f11076d13808725b7d599d566274"
+    },
+    {
+      "bytes": 54685,
+      "path": "data/internal_test/p7a/mathlib-000992-0000-1fa4d22ab1a3431b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1fa4d22ab1a3431b1a1a17b4f031655b0bf635c25d0853ab11cd5cd1e77f1097"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000993.json b/manifests/batches/mathlib/000993.json
index ba35bf354e68c2df50c92e3e6d46f6be2846ad86..29990fd4e3fd6349cd96460e895aa46373c83633 100644
--- a/manifests/batches/mathlib/000993.json
+++ b/manifests/batches/mathlib/000993.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000993",
   "batch_fingerprint": "04d8bd91afa8bf56983fec422a53c8e14f0882ff890ac1bf39254e7bc5fdd4a6",
   "evidence": {
@@ -374,19 +373,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000993-0000-c02da9ade6400728.parquet",
-      "sha256": "c02da9ade6400728ef8fa5a2c3bd44ff2f25f47693d8addbf4d247d14c0ac237",
-      "bytes": 35995,
-      "rows": 1,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.mem_sort"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Sort.lean\",null,null,\"Multiset.mem_sort\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35995,
+      "path": "data/train/p7a/mathlib-000993-0000-c02da9ade6400728.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c02da9ade6400728ef8fa5a2c3bd44ff2f25f47693d8addbf4d247d14c0ac237"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000994.json b/manifests/batches/mathlib/000994.json
index e97e1023bc04c753780d495f4099b9c4a1dcd792..e95192f7a910b1906c0770d3e7f3aa07480a4218 100644
--- a/manifests/batches/mathlib/000994.json
+++ b/manifests/batches/mathlib/000994.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000994",
   "batch_fingerprint": "11ff2049a6c6e0849cea442a1b34c6160c24005c10681b800a37f51f35ba4c41",
   "evidence": {
@@ -356,15 +355,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000994-0000-b5d4700d0f52d0fe.parquet",
-      "sha256": "b5d4700d0f52d0fe4d8ad77687951e0883218a13819f284a3f6c18edc946c77f",
-      "bytes": 58215,
-      "rows": 15,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Nodup.disjSum",
     "mathlib:Multiset.card_disjSum",
@@ -384,5 +375,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Sym.lean\",null,null,\"Multiset.mk_mem_sym2_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Sym.lean\",null,null,\"Multiset.sym2_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Multiset/Sym.lean\",null,null,\"Multiset.sym2_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58215,
+      "path": "data/train/pa6/mathlib-000994-0000-b5d4700d0f52d0fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b5d4700d0f52d0fe4d8ad77687951e0883218a13819f284a3f6c18edc946c77f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000995.json b/manifests/batches/mathlib/000995.json
index 9d7264f4fe7c97be803a7a986e2ea12ef1e7efa8..546e6f07ae052f8eba0aa24c742f0b7c771f3de6 100644
--- a/manifests/batches/mathlib/000995.json
+++ b/manifests/batches/mathlib/000995.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000995",
   "batch_fingerprint": "4f0390e1c97d74cc8f1162f5ca4b62eeab8fe09e8a966cc607f50ae875047451",
   "evidence": {
@@ -1497,22 +1496,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000995-0000-9c57ea8e9d3823c5.parquet",
-      "sha256": "9c57ea8e9d3823c5571619db3e9f0a602e2b58dcb7ab7e7d8753a47185a1f392",
-      "bytes": 111573,
-      "rows": 40,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000995-0000-ba976b0bab5e36a6.parquet",
-      "sha256": "ba976b0bab5e36a626dd8ab683a450ecd1f5209624fe847c3135c1e567d4d615",
-      "bytes": 45487,
-      "rows": 5,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNRat.coe_eq_zero",
     "mathlib:NNRat.coe_sub",
@@ -1570,5 +1554,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNRat/Defs.lean\",null,null,\"Rat.toNNRat_lt_iff_lt_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNRat/Defs.lean\",null,null,\"Rat.toNNRat_lt_toNNRat_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNRat/Defs.lean\",null,null,\"Rat.toNNRat_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111573,
+      "path": "data/train/pfa/mathlib-000995-0000-9c57ea8e9d3823c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9c57ea8e9d3823c5571619db3e9f0a602e2b58dcb7ab7e7d8753a47185a1f392"
+    },
+    {
+      "bytes": 45487,
+      "path": "data/internal_test/pfa/mathlib-000995-0000-ba976b0bab5e36a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ba976b0bab5e36a626dd8ab683a450ecd1f5209624fe847c3135c1e567d4d615"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000996.json b/manifests/batches/mathlib/000996.json
index 7d292b0f5fb87f60ca8f3130e48a9b47515c4bb5..571825b4160185e9552506a23ae98c9ed2db1c1f 100644
--- a/manifests/batches/mathlib/000996.json
+++ b/manifests/batches/mathlib/000996.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000996",
   "batch_fingerprint": "ce022b5c11af68428592a1e51b439297f13243bb81b6bc12b488313aaf225ee3",
   "evidence": {
@@ -3185,29 +3184,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000996-0000-3b60fd60a18b85fe.parquet",
-      "sha256": "3b60fd60a18b85fe0bb43fbdac98b3bf21d6f541c5c9e0c0cb7f9745ce4e051b",
-      "bytes": 169509,
-      "rows": 67,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/dev/mathlib-000996-0000-7c544b6882215495.parquet",
-      "sha256": "7c544b688221549501e424e3f7f503b4b057ba316aa3fd26cde3cd26816d8a1b",
-      "bytes": 38801,
-      "rows": 7,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/mathlib-000996-0000-a8f013e2099636da.parquet",
-      "sha256": "a8f013e2099636daa1ee00a726f4cf0fcdd8035ce770b57ad73e7f7e1705e770",
-      "bytes": 52551,
-      "rows": 16,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNRat.num_div_den",
     "mathlib:NNReal.coe_eq_one",
@@ -3349,5 +3326,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNReal/Basic.lean\",null,null,\"Real.toNNReal_of_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNReal/Basic.lean\",null,null,\"Real.toNNReal_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/NNReal/Basic.lean\",null,null,\"Real.toNNReal_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169509,
+      "path": "data/train/p3b/mathlib-000996-0000-3b60fd60a18b85fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "3b60fd60a18b85fe0bb43fbdac98b3bf21d6f541c5c9e0c0cb7f9745ce4e051b"
+    },
+    {
+      "bytes": 38801,
+      "path": "data/dev/p3b/mathlib-000996-0000-7c544b6882215495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7c544b688221549501e424e3f7f503b4b057ba316aa3fd26cde3cd26816d8a1b"
+    },
+    {
+      "bytes": 52551,
+      "path": "data/internal_test/p3b/mathlib-000996-0000-a8f013e2099636da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a8f013e2099636daa1ee00a726f4cf0fcdd8035ce770b57ad73e7f7e1705e770"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000997.json b/manifests/batches/mathlib/000997.json
index 5806397ffc43c247c0004cb6830d2517ec591bd8..71bc8cef0e759b78dfbc9602ec2785a1b6d111bd 100644
--- a/manifests/batches/mathlib/000997.json
+++ b/manifests/batches/mathlib/000997.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000997",
   "batch_fingerprint": "622a90fdd153c1457ba7bc2d449485386f6865f1cf2ca01513c884f898206fd7",
   "evidence": {
@@ -3919,29 +3918,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000997-0000-da77ab1bc469374c.parquet",
-      "sha256": "da77ab1bc469374c3c73092d7dbc65db45635693fb3801c59f06e5e8a0c77c26",
-      "bytes": 183252,
-      "rows": 67,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/dev/mathlib-000997-0000-ed0cb45b7f17a09f.parquet",
-      "sha256": "ed0cb45b7f17a09f86b714175972107edbbeb779e384f10e0634bfc5d1cb702e",
-      "bytes": 50082,
-      "rows": 8,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000997-0000-83b8cab535835516.parquet",
-      "sha256": "83b8cab535835516133abeb8ade6adce5e1a548d042b5467565299a4cb8db025",
-      "bytes": 46162,
-      "rows": 10,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.binaryRec_decreasing",
     "mathlib:Nat.binaryRec_of_ne_zero",
@@ -4045,5 +4022,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Bitwise.lean\",null,null,\"Nat.xor_right_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Bitwise.lean\",null,null,\"Nat.xor_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Bitwise.lean\",null,null,\"Nat.zero_xor\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183252,
+      "path": "data/train/pab/mathlib-000997-0000-da77ab1bc469374c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "da77ab1bc469374c3c73092d7dbc65db45635693fb3801c59f06e5e8a0c77c26"
+    },
+    {
+      "bytes": 50082,
+      "path": "data/dev/pab/mathlib-000997-0000-ed0cb45b7f17a09f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ed0cb45b7f17a09f86b714175972107edbbeb779e384f10e0634bfc5d1cb702e"
+    },
+    {
+      "bytes": 46162,
+      "path": "data/internal_test/pab/mathlib-000997-0000-83b8cab535835516.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "83b8cab535835516133abeb8ade6adce5e1a548d042b5467565299a4cb8db025"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000998.json b/manifests/batches/mathlib/000998.json
index f18d79a337ca2d80fdb4f77dba376b3c101c3c1a..067a8dff21a9a746d3c6fc9d8c0e0932a7458b90 100644
--- a/manifests/batches/mathlib/000998.json
+++ b/manifests/batches/mathlib/000998.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000998",
   "batch_fingerprint": "5bc362ceb2cc5c5dfb8d279796f88b92305bc60c92c580db85eea59f5d1db01c",
   "evidence": {
@@ -1327,15 +1326,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000998-0000-499b410568c6dcbe.parquet",
-      "sha256": "499b410568c6dcbeb30b5797db6ee23397b5bcd940a219334b0eb905787d8aa3",
-      "bytes": 49090,
-      "rows": 6,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidHom.apply_nat",
     "mathlib:MonoidHom.apply_mnat",
@@ -1351,5 +1342,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Basic.lean\",null,null,\"Nat.cast_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Basic.lean\",null,null,\"NeZero.nat_of_neZero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Basic.lean\",null,null,\"ext_nat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49090,
+      "path": "data/train/pe5/mathlib-000998-0000-499b410568c6dcbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "499b410568c6dcbeb30b5797db6ee23397b5bcd940a219334b0eb905787d8aa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/000999.json b/manifests/batches/mathlib/000999.json
index ef9d534b28c6e87c1f8b7605a8065e1967dfa119..938003f7b41d528f7350ada18483de57722f296a 100644
--- a/manifests/batches/mathlib/000999.json
+++ b/manifests/batches/mathlib/000999.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/000999",
   "batch_fingerprint": "f5c5a7d28a2743c7e4e748ed274bb5050481ec11ae360f2c351fca01de973291",
   "evidence": {
@@ -763,22 +762,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-000999-0000-b5a5af9b86642cd7.parquet",
-      "sha256": "b5a5af9b86642cd752c7c34171a9d44e4f57afe05c2a714d7ab4919514958ea7",
-      "bytes": 43992,
-      "rows": 13,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/mathlib-000999-0000-85de760fc9050412.parquet",
-      "sha256": "85de760fc905041277e51b36d8b190b1ba078a5478ac9579952cbb1860abb23f",
-      "bytes": 32532,
-      "rows": 2,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.cast_bit1",
     "mathlib:Nat.cast_ite",
@@ -796,5 +780,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Defs.lean\",null,null,\"three_add_one_eq_four\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Defs.lean\",null,null,\"two_add_one_eq_three\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Field.lean\",null,null,\"Nat.one_div_pos_of_nat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43992,
+      "path": "data/train/pe7/mathlib-000999-0000-b5a5af9b86642cd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b5a5af9b86642cd752c7c34171a9d44e4f57afe05c2a714d7ab4919514958ea7"
+    },
+    {
+      "bytes": 32532,
+      "path": "data/internal_test/pe7/mathlib-000999-0000-85de760fc9050412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "85de760fc905041277e51b36d8b190b1ba078a5478ac9579952cbb1860abb23f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001000.json b/manifests/batches/mathlib/001000.json
index 4f4ba269cee9f0f11d01856df1a3540778e7842f..f5ea28efe8043259a11bb140192aec71479ec6ec 100644
--- a/manifests/batches/mathlib/001000.json
+++ b/manifests/batches/mathlib/001000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001000",
   "batch_fingerprint": "208f2d0d272aba0c8d277ed3291735c0387ea5db2f5aed394825086c97fbe966",
   "evidence": {
@@ -663,22 +662,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001000-0000-9abb32a32d512c4f.parquet",
-      "sha256": "9abb32a32d512c4f1e4dabdb588f1f3cf7d9f08a0613263ac03840f83f248be0",
-      "bytes": 52460,
-      "rows": 11,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001000-0000-50e387f0522eaf65.parquet",
-      "sha256": "50e387f0522eaf654a8b2b3ca8dea38f0a518a57f2b5fc91ac2c924e0eb6eb9b",
-      "bytes": 44227,
-      "rows": 1,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.cast_add_one_pos",
     "mathlib:Nat.cast_le_one",
@@ -700,5 +684,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Order.lean\",null,null,\"Nat.one_le_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Order.lean\",null,null,\"Nat.one_lt_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/Order.lean\",null,null,\"NeZero.nat_of_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52460,
+      "path": "data/train/ped/mathlib-001000-0000-9abb32a32d512c4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9abb32a32d512c4f1e4dabdb588f1f3cf7d9f08a0613263ac03840f83f248be0"
+    },
+    {
+      "bytes": 44227,
+      "path": "data/internal_test/ped/mathlib-001000-0000-50e387f0522eaf65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "50e387f0522eaf654a8b2b3ca8dea38f0a518a57f2b5fc91ac2c924e0eb6eb9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001001.json b/manifests/batches/mathlib/001001.json
index 14ef8e67d2f7a6222853ccd5015ec67b72660a08..93e27d35bf8eb2256ea124f478fe87c9c21ebe67 100644
--- a/manifests/batches/mathlib/001001.json
+++ b/manifests/batches/mathlib/001001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001001",
   "batch_fingerprint": "d8ffc8b846d65944237bd8a7dbd7586e23b618319417a4978dca999dcaee4a6f",
   "evidence": {
@@ -84,15 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001001-0000-a9c1292d3a23d0eb.parquet",
-      "sha256": "a9c1292d3a23d0eb45c90ea9ebcfa41c08d18dbf59d8ee9275ed30002fb5d5d3",
-      "bytes": 38441,
-      "rows": 12,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.image_cast_int_Icc",
     "mathlib:Nat.image_cast_int_Ici",
@@ -116,5 +107,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/SetInterval.lean\",null,null,\"Nat.image_cast_int_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/SetInterval.lean\",null,null,\"Nat.image_cast_int_Ioi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Cast/SetInterval.lean\",null,null,\"Nat.image_cast_int_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38441,
+      "path": "data/train/p13/mathlib-001001-0000-a9c1292d3a23d0eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a9c1292d3a23d0eb45c90ea9ebcfa41c08d18dbf59d8ee9275ed30002fb5d5d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001002.json b/manifests/batches/mathlib/001002.json
index fd7031a8424f24901d4d279b98ca539022f12b01..70c9f4e2c2dcdb44d3139b21aa670c7dea763b5a 100644
--- a/manifests/batches/mathlib/001002.json
+++ b/manifests/batches/mathlib/001002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001002",
   "batch_fingerprint": "208dfa13ccf55d1bc77c058571f25f30ef8dbdc87a8140ed575d665b48b4cf0b",
   "evidence": {
@@ -217,7 +216,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001003.json b/manifests/batches/mathlib/001003.json
index 1a4ba02078b4523fed8e8e467f0b259dbaa6c228..8adaea3a5309a0ab331402227e65ba781ec0a025 100644
--- a/manifests/batches/mathlib/001003.json
+++ b/manifests/batches/mathlib/001003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001003",
   "batch_fingerprint": "dab36eb04dbe3f31b28e600e3363aea7493ac35f5ab900216950701881d9aff6",
   "evidence": {
@@ -2097,22 +2096,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001003-0000-bf7461ae88a25181.parquet",
-      "sha256": "bf7461ae88a25181ebaf1a3656690cbe3a367911f30b085b0e3ea787b650ba8f",
-      "bytes": 62109,
-      "rows": 25,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001003-0000-7d06919c1235b5cd.parquet",
-      "sha256": "7d06919c1235b5cdbd1d37784af64e65a7bfb67b830995bc05e6b8e3457991f6",
-      "bytes": 47851,
-      "rows": 9,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.add_choose",
     "mathlib:Nat.add_choose_mul_factorial_mul_factorial",
@@ -2154,5 +2138,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Basic.lean\",null,null,\"Nat.multichoose_zero_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Basic.lean\",null,null,\"Nat.multichoose_zero_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Basic.lean\",null,null,\"Nat.triangle_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62109,
+      "path": "data/train/pb3/mathlib-001003-0000-bf7461ae88a25181.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "bf7461ae88a25181ebaf1a3656690cbe3a367911f30b085b0e3ea787b650ba8f"
+    },
+    {
+      "bytes": 47851,
+      "path": "data/internal_test/pb3/mathlib-001003-0000-7d06919c1235b5cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7d06919c1235b5cdbd1d37784af64e65a7bfb67b830995bc05e6b8e3457991f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001004.json b/manifests/batches/mathlib/001004.json
index 198e3f07a88a3a67aab3e9ade29d99eff010cbe3..7eff1aaffd80a6462e644bc923e7e3bb041cb1fe 100644
--- a/manifests/batches/mathlib/001004.json
+++ b/manifests/batches/mathlib/001004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001004",
   "batch_fingerprint": "e42155a19e844d533e5fcb714bcf644f73051651bafa615934aa95b6bea23544",
   "evidence": {
@@ -154,39 +153,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Nat.cast_add_choose",
+    "mathlib:Nat.cast_choose",
+    "mathlib:Nat.cast_choose_eq_ascPochhammer_div",
+    "mathlib:Nat.cast_choose_two"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_add_choose\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose_eq_ascPochhammer_div\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose_two\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001004-0000-7aa333704b6a90e7.parquet",
-      "sha256": "7aa333704b6a90e7582d9e741db2f6f4d80bb37f0b2ddeb4e02a579ef590498b",
       "bytes": 50117,
+      "path": "data/train/p8b/mathlib-001004-0000-7aa333704b6a90e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
+      "sha256": "7aa333704b6a90e7582d9e741db2f6f4d80bb37f0b2ddeb4e02a579ef590498b"
     },
     {
-      "path": "data/dev/mathlib-001004-0000-5474f639bbc16a78.parquet",
-      "sha256": "5474f639bbc16a78ad30f033c75c8dc63fe6fab9c32208750c6e89231fc3dc81",
       "bytes": 35697,
+      "path": "data/dev/p8b/mathlib-001004-0000-5474f639bbc16a78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
+      "sha256": "5474f639bbc16a78ad30f033c75c8dc63fe6fab9c32208750c6e89231fc3dc81"
     },
     {
-      "path": "data/internal_test/mathlib-001004-0000-516c1c8e6030aa92.parquet",
-      "sha256": "516c1c8e6030aa922ca3912948b6ef64ab409ccd5d9a31202ea7566a2b540cb2",
       "bytes": 40840,
+      "path": "data/internal_test/p8b/mathlib-001004-0000-516c1c8e6030aa92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
+      "sha256": "516c1c8e6030aa922ca3912948b6ef64ab409ccd5d9a31202ea7566a2b540cb2"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Nat.cast_add_choose",
-    "mathlib:Nat.cast_choose",
-    "mathlib:Nat.cast_choose_eq_ascPochhammer_div",
-    "mathlib:Nat.cast_choose_two"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_add_choose\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose_eq_ascPochhammer_div\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Cast.lean\",null,null,\"Nat.cast_choose_two\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001005.json b/manifests/batches/mathlib/001005.json
index 8147271ac1b0b42430c1c7880bd2de2fd4d019f7..e72134962b70a0a79633ba4d4ea12585c3c44262 100644
--- a/manifests/batches/mathlib/001005.json
+++ b/manifests/batches/mathlib/001005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001005",
   "batch_fingerprint": "7473f03395b5be9f0536f86f0c81e54d3841552f3398e9ffa04a1f603b91ca97",
   "evidence": {
@@ -483,15 +482,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001005-0000-077453fe5fc8e41c.parquet",
-      "sha256": "077453fe5fc8e41ccdc3b6a522912b9db1dab3171a6529e810c867fed9732399",
-      "bytes": 49398,
-      "rows": 8,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.dvd_choose_add",
     "mathlib:Nat.choose_le_centralBinom",
@@ -503,5 +494,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Central.lean\",null,null,\"Nat.two_dvd_centralBinom_of_one_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Central.lean\",null,null,\"Nat.two_dvd_centralBinom_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Dvd.lean\",null,null,\"Nat.Prime.dvd_choose_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49398,
+      "path": "data/train/p18/mathlib-001005-0000-077453fe5fc8e41c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "077453fe5fc8e41ccdc3b6a522912b9db1dab3171a6529e810c867fed9732399"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001006.json b/manifests/batches/mathlib/001006.json
index ba03cb60b4e613990a958d4705bd39824d11d952..3eaffe788298239f612d2f2080be822cdabdd73f 100644
--- a/manifests/batches/mathlib/001006.json
+++ b/manifests/batches/mathlib/001006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001006",
   "batch_fingerprint": "f0e925ffc888477fd1fa62d4d7d283c1bae25954766435a871519be3a7b0f588",
   "evidence": {
@@ -1387,29 +1386,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001006-0000-fea926e69ef3be86.parquet",
-      "sha256": "fea926e69ef3be8664d2a431206d9a860d8c040fe99321a0abcee3fbc049e530",
-      "bytes": 72129,
-      "rows": 22,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/dev/mathlib-001006-0000-6f50abd4f4dd78b8.parquet",
-      "sha256": "6f50abd4f4dd78b8b6d60247d14cd24ab2fad737c49b293d486417b582b5fa3b",
-      "bytes": 53995,
-      "rows": 4,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001006-0000-5878b8678899dc42.parquet",
-      "sha256": "5878b8678899dc42e71e7e3e434f0c83813ece140243e266cf73b1fe1753070b",
-      "bytes": 39702,
-      "rows": 2,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.sum_pow",
     "mathlib:Multiset.multinomial_zero",
@@ -1443,5 +1420,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Multinomial.lean\",null,null,\"Nat.multinomial_univ_three\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Multinomial.lean\",null,null,\"Nat.multinomial_univ_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Multinomial.lean\",null,null,\"Nat.succ_mul_binomial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72129,
+      "path": "data/train/p0b/mathlib-001006-0000-fea926e69ef3be86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "fea926e69ef3be8664d2a431206d9a860d8c040fe99321a0abcee3fbc049e530"
+    },
+    {
+      "bytes": 53995,
+      "path": "data/dev/p0b/mathlib-001006-0000-6f50abd4f4dd78b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f50abd4f4dd78b8b6d60247d14cd24ab2fad737c49b293d486417b582b5fa3b"
+    },
+    {
+      "bytes": 39702,
+      "path": "data/internal_test/p0b/mathlib-001006-0000-5878b8678899dc42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5878b8678899dc42e71e7e3e434f0c83813ece140243e266cf73b1fe1753070b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001007.json b/manifests/batches/mathlib/001007.json
index 27d33e1b997c319f0ef7e019108ad3991f2b7105..fb31efa0e4c52420e0a02b360a245667167681e6 100644
--- a/manifests/batches/mathlib/001007.json
+++ b/manifests/batches/mathlib/001007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001007",
   "batch_fingerprint": "b7e01b978b214c01f3e315f6b6efd3368f2be4d4d0328bd6fd3724efa1ee6d73",
   "evidence": {
@@ -1203,22 +1202,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001007-0000-f8681688401a7a2c.parquet",
-      "sha256": "f8681688401a7a2c7606942dd70ba1041cf19c0adab246c642a28267ca152604",
-      "bytes": 58025,
-      "rows": 6,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/dev/mathlib-001007-0000-fa3218a1f06da717.parquet",
-      "sha256": "fa3218a1f06da7172a379ae85fb5aef8711486e7a3d093c9c12e441f7dedbf15",
-      "bytes": 34907,
-      "rows": 1,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.sum_antidiagonal_choose_succ_mul",
     "mathlib:Finset.sum_choose_succ_mul",
@@ -1232,5 +1216,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Sum.lean\",null,null,\"Finset.sum_powerset_neg_one_pow_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Sum.lean\",null,null,\"Int.alternating_sum_range_choose_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Choose/Sum.lean\",null,null,\"Nat.sum_range_choose\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58025,
+      "path": "data/train/paf/mathlib-001007-0000-f8681688401a7a2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f8681688401a7a2c7606942dd70ba1041cf19c0adab246c642a28267ca152604"
+    },
+    {
+      "bytes": 34907,
+      "path": "data/dev/paf/mathlib-001007-0000-fa3218a1f06da717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa3218a1f06da7172a379ae85fb5aef8711486e7a3d093c9c12e441f7dedbf15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001008.json b/manifests/batches/mathlib/001008.json
index 4a9f45c9554106a90c6edc11f00a9499978dddf5..a84df28e3f05ce0a44c66bab956ce9f8f6914b27 100644
--- a/manifests/batches/mathlib/001008.json
+++ b/manifests/batches/mathlib/001008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001008",
   "batch_fingerprint": "1d17f1fd6a86cf088807c0a8ae79af414fe378c9a7d37a15ceb800a81d7b99b5",
   "evidence": {
@@ -6637,29 +6636,7 @@
     "validation_rejected_proofs": 22,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001008-0000-e576b379b908e424.parquet",
-      "sha256": "e576b379b908e424423abc1864427c7c8d25b4a97c3b0fe549e5acd474a13763",
-      "bytes": 420226,
-      "rows": 180,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001008-0000-beb68ccb5a4c28ff.parquet",
-      "sha256": "beb68ccb5a4c28ff7ccab039e67b127bc30346c977c2b9fa2c71b73a6b6b59c8",
-      "bytes": 47243,
-      "rows": 10,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001008-0000-aebf47512ad27444.parquet",
-      "sha256": "aebf47512ad27444e6316fa83307d7b7ccde7364f4ef99e26d3a1c44ee18d70f",
-      "bytes": 79605,
-      "rows": 31,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.add_eq_left",
     "mathlib:Nat.add_eq_max_iff",
@@ -6989,5 +6966,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Defs.lean\",null,null,\"Nat.two_mul_odd_div_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Defs.lean\",null,null,\"Nat.two_pow_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Defs.lean\",null,null,\"Nat.zero_eq_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 420226,
+      "path": "data/train/pb7/mathlib-001008-0000-e576b379b908e424.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 180,
+      "sha256": "e576b379b908e424423abc1864427c7c8d25b4a97c3b0fe549e5acd474a13763"
+    },
+    {
+      "bytes": 47243,
+      "path": "data/dev/pb7/mathlib-001008-0000-beb68ccb5a4c28ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "beb68ccb5a4c28ff7ccab039e67b127bc30346c977c2b9fa2c71b73a6b6b59c8"
+    },
+    {
+      "bytes": 79605,
+      "path": "data/internal_test/pb7/mathlib-001008-0000-aebf47512ad27444.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "aebf47512ad27444e6316fa83307d7b7ccde7364f4ef99e26d3a1c44ee18d70f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001009.json b/manifests/batches/mathlib/001009.json
index d0fc2d33259682fae33bd352ae6758c06f0e91bb..abcb7aafc9d6dc3fdf815e8240c688efe136caca 100644
--- a/manifests/batches/mathlib/001009.json
+++ b/manifests/batches/mathlib/001009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001009",
   "batch_fingerprint": "98557e12cdd3de6a4e36b1127fc8851dd3c332423cfe67f462f104aef6629100",
   "evidence": {
@@ -5215,29 +5214,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001009-0000-1927bc0df0daacf4.parquet",
-      "sha256": "1927bc0df0daacf4081b4f7daf0271161b99d2f39dbbfec00891ad7efd121b66",
-      "bytes": 120004,
-      "rows": 38,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001009-0000-eed8008706121051.parquet",
-      "sha256": "eed80087061210513ea726540c7560d8a77556c820795f5787430019c050fc6e",
-      "bytes": 37888,
-      "rows": 2,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001009-0000-fafd6821a9dfb9de.parquet",
-      "sha256": "fafd6821a9dfb9dec22576d38662d7fcc1c938ea7aa8b9c8a052f82adf680cdd",
-      "bytes": 42065,
-      "rows": 6,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.NormDigits.digits_one",
     "mathlib:Nat.base_pow_length_digits_le'",
@@ -5301,5 +5278,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Dist.lean\",null,null,\"Nat.dist_tri_left'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Dist.lean\",null,null,\"Nat.dist_tri_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Dist.lean\",null,null,\"Nat.dist_tri_right'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120004,
+      "path": "data/train/pb8/mathlib-001009-0000-1927bc0df0daacf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "1927bc0df0daacf4081b4f7daf0271161b99d2f39dbbfec00891ad7efd121b66"
+    },
+    {
+      "bytes": 37888,
+      "path": "data/dev/pb8/mathlib-001009-0000-eed8008706121051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eed80087061210513ea726540c7560d8a77556c820795f5787430019c050fc6e"
+    },
+    {
+      "bytes": 42065,
+      "path": "data/internal_test/pb8/mathlib-001009-0000-fafd6821a9dfb9de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fafd6821a9dfb9dec22576d38662d7fcc1c938ea7aa8b9c8a052f82adf680cdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001010.json b/manifests/batches/mathlib/001010.json
index 9171baee7dd256264fec7f7795a6f1642dbe92cb..a783c91e3c4edbb3ef7a69c98ae3ae2721348499 100644
--- a/manifests/batches/mathlib/001010.json
+++ b/manifests/batches/mathlib/001010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001010",
   "batch_fingerprint": "bd492b1240c2039b780587114e6e426c14871fdc115cb47bdcba794e212bae0b",
   "evidence": {
@@ -2389,29 +2388,7 @@
     "validation_rejected_proofs": 23,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001010-0000-d2843286df0aa36a.parquet",
-      "sha256": "d2843286df0aa36a3fdcf45e1fb166b28899c04541bcb8466af6104ce4f5d12c",
-      "bytes": 44291,
-      "rows": 10,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001010-0000-43d8596003cfafa1.parquet",
-      "sha256": "43d8596003cfafa16c72028858cbfa479370c17b9d6187cc7417fd91e5326de1",
-      "bytes": 36352,
-      "rows": 2,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001010-0000-8a05799f1584d1a7.parquet",
-      "sha256": "8a05799f1584d1a7ec3d643115f80ad4298329c6ef786962bd7bdc526367eccc",
-      "bytes": 41886,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.ascFactorial_of_sub",
     "mathlib:Nat.descFactorial_eq_div",
@@ -2433,5 +2410,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/Basic.lean\",null,null,\"Nat.one_ascFactorial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/Basic.lean\",null,null,\"Nat.pow_lt_ascFactorial'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/Basic.lean\",null,null,\"Nat.zero_descFactorial_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44291,
+      "path": "data/train/pa3/mathlib-001010-0000-d2843286df0aa36a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d2843286df0aa36a3fdcf45e1fb166b28899c04541bcb8466af6104ce4f5d12c"
+    },
+    {
+      "bytes": 36352,
+      "path": "data/dev/pa3/mathlib-001010-0000-43d8596003cfafa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "43d8596003cfafa16c72028858cbfa479370c17b9d6187cc7417fd91e5326de1"
+    },
+    {
+      "bytes": 41886,
+      "path": "data/internal_test/pa3/mathlib-001010-0000-8a05799f1584d1a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8a05799f1584d1a7ec3d643115f80ad4298329c6ef786962bd7bdc526367eccc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001011.json b/manifests/batches/mathlib/001011.json
index b0e9a57f32d1653adc0027a68b20aa4c57048e17..07b6b3c378e2918e2bc047b5688ee38fc8b5f3aa 100644
--- a/manifests/batches/mathlib/001011.json
+++ b/manifests/batches/mathlib/001011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001011",
   "batch_fingerprint": "6e0baf6fff1f53a18165d30e3e9b79d9fc70389e7a03d3e5662d5bb7e7fbeb1a",
   "evidence": {
@@ -268,22 +267,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001011-0000-62be49c5432522b6.parquet",
-      "sha256": "62be49c5432522b604c88e57b9fcfd0a260f7667b08ef2e58564636fb7337282",
-      "bytes": 41662,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001011-0000-c22d0245803a5eff.parquet",
-      "sha256": "c22d0245803a5effbf1f6fa9eb019137c1a742868b8856a5807dc78066de363f",
-      "bytes": 23287,
-      "rows": 1,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.cast_ascFactorial",
     "mathlib:Nat.cast_factorial",
@@ -295,5 +279,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/BigOperators.lean\",null,null,\"Nat.prod_factorial_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/Cast.lean\",null,null,\"Nat.cast_ascFactorial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/Cast.lean\",null,null,\"Nat.cast_factorial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41662,
+      "path": "data/train/pa9/mathlib-001011-0000-62be49c5432522b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "62be49c5432522b604c88e57b9fcfd0a260f7667b08ef2e58564636fb7337282"
+    },
+    {
+      "bytes": 23287,
+      "path": "data/dev/pa9/mathlib-001011-0000-c22d0245803a5eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c22d0245803a5effbf1f6fa9eb019137c1a742868b8856a5807dc78066de363f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001012.json b/manifests/batches/mathlib/001012.json
index e48c0abb904d75e170c4804f27b40a932a835246..f4e1f5fe542ae2aef63c914c0f444fd2152d0e24 100644
--- a/manifests/batches/mathlib/001012.json
+++ b/manifests/batches/mathlib/001012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001012",
   "batch_fingerprint": "25b9f61a33fe1b6bfe5592ebaecfb09dc871a1d3d99ce12d23038d4a3f5e2569",
   "evidence": {
@@ -508,22 +507,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001012-0000-c377e15c32d378df.parquet",
-      "sha256": "c377e15c32d378dfd4c5704ede7e0366226c5057642a31149003224abcc178dd",
-      "bytes": 65074,
-      "rows": 15,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001012-0000-d027a6e636c18f50.parquet",
-      "sha256": "d027a6e636c18f504ace2b5de2e72ee55e12a22a00a363a059338606190a214a",
-      "bytes": 33093,
-      "rows": 2,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.doubleFactorial_add_one",
     "mathlib:Nat.doubleFactorial_le_factorial",
@@ -543,5 +527,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/SuperFactorial.lean\",null,null,\"Nat.prod_range_succ_factorial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/SuperFactorial.lean\",null,null,\"Nat.superFactorial_dvd_vandermonde_det\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorial/SuperFactorial.lean\",null,null,\"Nat.superFactorial_two_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65074,
+      "path": "data/train/pbc/mathlib-001012-0000-c377e15c32d378df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c377e15c32d378dfd4c5704ede7e0366226c5057642a31149003224abcc178dd"
+    },
+    {
+      "bytes": 33093,
+      "path": "data/internal_test/pbc/mathlib-001012-0000-d027a6e636c18f50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d027a6e636c18f504ace2b5de2e72ee55e12a22a00a363a059338606190a214a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001013.json b/manifests/batches/mathlib/001013.json
index 09a16aab8ef9fbe9742464002a73fa5eb4922335..b94ce3e2d5b50cff25b5a5d18aa70a00f8c69fa3 100644
--- a/manifests/batches/mathlib/001013.json
+++ b/manifests/batches/mathlib/001013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001013",
   "batch_fingerprint": "ba28ca808b61109fea90b21f2bf0217017020b976d229e8385f9670b1a5f656c",
   "evidence": {
@@ -4792,29 +4791,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001013-0000-555f80eeb85173e2.parquet",
-      "sha256": "555f80eeb85173e27a2e6795c6b6a320612008e56478abf2ce5d5f91a14fd111",
-      "bytes": 203231,
-      "rows": 69,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001013-0000-3ce687f8f3a79f32.parquet",
-      "sha256": "3ce687f8f3a79f32a0fec1f0592360c373c77bcd4fc690932f00c11c5cb46697",
-      "bytes": 39819,
-      "rows": 4,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001013-0000-601367fe472bab6e.parquet",
-      "sha256": "601367fe472bab6e255d30706687ca637680020c747013133f2d6e6d8dcb9668",
-      "bytes": 66565,
-      "rows": 17,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPrimePow.minFac_pow_factorization_eq",
     "mathlib:Nat.Ico_filter_pow_dvd_eq",
@@ -4914,5 +4891,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorization/PrimePow.lean\",null,null,\"IsPrimePow.minFac_pow_factorization_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorization/PrimePow.lean\",null,null,\"isPrimePow_iff_card_primeFactors_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factorization/PrimePow.lean\",null,null,\"isPrimePow_pow_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203231,
+      "path": "data/train/pea/mathlib-001013-0000-555f80eeb85173e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "555f80eeb85173e27a2e6795c6b6a320612008e56478abf2ce5d5f91a14fd111"
+    },
+    {
+      "bytes": 39819,
+      "path": "data/dev/pea/mathlib-001013-0000-3ce687f8f3a79f32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3ce687f8f3a79f32a0fec1f0592360c373c77bcd4fc690932f00c11c5cb46697"
+    },
+    {
+      "bytes": 66565,
+      "path": "data/internal_test/pea/mathlib-001013-0000-601367fe472bab6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "601367fe472bab6e255d30706687ca637680020c747013133f2d6e6d8dcb9668"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001014.json b/manifests/batches/mathlib/001014.json
index fdfe465f243dd361105dbfd1a2ab5d749c6f3c05..d1b911861b014b386a48eebb8eadb7e53dc4a41c 100644
--- a/manifests/batches/mathlib/001014.json
+++ b/manifests/batches/mathlib/001014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001014",
   "batch_fingerprint": "a683c8ceabe3da3fc84f04eccac79b9c1bf84984e65655d37ada1dfed358d1e1",
   "evidence": {
@@ -1836,29 +1835,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001014-0000-0a567eb058398a2c.parquet",
-      "sha256": "0a567eb058398a2ca31fde952907fd1a767b118c4a236874dc9d69020deff5f0",
-      "bytes": 108867,
-      "rows": 37,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001014-0000-844c5e7e7844d845.parquet",
-      "sha256": "844c5e7e7844d845e55f14c7948e6d9be73f19e83a35cbac24f657568575796d",
-      "bytes": 40040,
-      "rows": 6,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001014-0000-c8af914af41264aa.parquet",
-      "sha256": "c8af914af41264aa25dd3f81297970987b71f9ae49d7e36f4b1ac6def3b17dd9",
-      "bytes": 42211,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.factors_pow",
     "mathlib:Nat.ceilRoot_def",
@@ -1916,5 +1893,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factors.lean\",null,null,\"Nat.mem_factors'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factors.lean\",null,null,\"Nat.mem_factors_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Factors.lean\",null,null,\"Nat.mem_factors_mul_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108867,
+      "path": "data/train/p6a/mathlib-001014-0000-0a567eb058398a2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "0a567eb058398a2ca31fde952907fd1a767b118c4a236874dc9d69020deff5f0"
+    },
+    {
+      "bytes": 40040,
+      "path": "data/dev/p6a/mathlib-001014-0000-844c5e7e7844d845.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "844c5e7e7844d845e55f14c7948e6d9be73f19e83a35cbac24f657568575796d"
+    },
+    {
+      "bytes": 42211,
+      "path": "data/internal_test/p6a/mathlib-001014-0000-c8af914af41264aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c8af914af41264aa25dd3f81297970987b71f9ae49d7e36f4b1ac6def3b17dd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001015.json b/manifests/batches/mathlib/001015.json
index 88f728943067d21e7d671d69f5e501b5f5ce0c5f..c738853e254105d605eb84f1f3f853b71b617a91 100644
--- a/manifests/batches/mathlib/001015.json
+++ b/manifests/batches/mathlib/001015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001015",
   "batch_fingerprint": "34b15b80874ee32e434221ab68a6f696b64eb55a3f03af9a9658a8cd9b79deaa",
   "evidence": {
@@ -1614,29 +1613,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001015-0000-051708a40d1c48b6.parquet",
-      "sha256": "051708a40d1c48b690f752b210d67441b44e427a4bd45d02193a4f3b5171ee12",
-      "bytes": 114387,
-      "rows": 29,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001015-0000-af4436f2f2ac43a5.parquet",
-      "sha256": "af4436f2f2ac43a5082005ac940abe5c49565f828891e9f8144640a6c3c95972",
-      "bytes": 30300,
-      "rows": 1,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001015-0000-784ce4514b8471ea.parquet",
-      "sha256": "784ce4514b8471ea6cf7ef21e453868eecc8f8b6f2e76f9f5e94ae5f7468e8fb",
-      "bytes": 33099,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.IsZeckendorfRep.sum_fib_lt",
     "mathlib:List.IsZeckendorfRep_nil",
@@ -1676,5 +1653,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Fib/Zeckendorf.lean\",null,null,\"List.IsZeckendorfRep_nil\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Fib/Zeckendorf.lean\",null,null,\"Nat.greatestFib_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Fib/Zeckendorf.lean\",null,null,\"Nat.sum_zeckendorf_fib\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114387,
+      "path": "data/train/pb9/mathlib-001015-0000-051708a40d1c48b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "051708a40d1c48b690f752b210d67441b44e427a4bd45d02193a4f3b5171ee12"
+    },
+    {
+      "bytes": 30300,
+      "path": "data/dev/pb9/mathlib-001015-0000-af4436f2f2ac43a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "af4436f2f2ac43a5082005ac940abe5c49565f828891e9f8144640a6c3c95972"
+    },
+    {
+      "bytes": 33099,
+      "path": "data/internal_test/pb9/mathlib-001015-0000-784ce4514b8471ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "784ce4514b8471ea6cf7ef21e453868eecc8f8b6f2e76f9f5e94ae5f7468e8fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001016.json b/manifests/batches/mathlib/001016.json
index aa512672b26e8767a3116a377a0f75ef4550af0b..e1f850953c06e441567b0075ceaf34e9ee234c97 100644
--- a/manifests/batches/mathlib/001016.json
+++ b/manifests/batches/mathlib/001016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001016",
   "batch_fingerprint": "f0f6c4067fceebfbb720d3ceac87c3c2f21bd93ed5a8efaa5aec786f886b8158",
   "evidence": {
@@ -602,29 +601,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001016-0000-99e4a968d6334cea.parquet",
-      "sha256": "99e4a968d6334cead4038c91ce379a330de63c77d0ea32cd82dd11d6f9f35e1c",
-      "bytes": 115208,
-      "rows": 48,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001016-0000-8afe244b0164633a.parquet",
-      "sha256": "8afe244b0164633a1dc7d93c46776e7565bfd0a564c9feeb6e4dd14f11ed0486",
-      "bytes": 34508,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001016-0000-291d3cfd5129d1d1.parquet",
-      "sha256": "291d3cfd5129d1d1f88ab81d634a2c676708c372cbf0782e61cacda1956a17a8",
-      "bytes": 47710,
-      "rows": 13,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Coprime.lcm_eq_mul",
     "mathlib:Nat.Coprime.mul_add_mul_ne_mul",
@@ -726,5 +703,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/GCD/BigOperators.lean\",null,null,\"Nat.coprime_multiset_prod_right_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/GCD/BigOperators.lean\",null,null,\"Nat.coprime_prod_left_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/GCD/BigOperators.lean\",null,null,\"Nat.coprime_prod_right_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115208,
+      "path": "data/train/p14/mathlib-001016-0000-99e4a968d6334cea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "99e4a968d6334cead4038c91ce379a330de63c77d0ea32cd82dd11d6f9f35e1c"
+    },
+    {
+      "bytes": 34508,
+      "path": "data/dev/p14/mathlib-001016-0000-8afe244b0164633a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8afe244b0164633a1dc7d93c46776e7565bfd0a564c9feeb6e4dd14f11ed0486"
+    },
+    {
+      "bytes": 47710,
+      "path": "data/internal_test/p14/mathlib-001016-0000-291d3cfd5129d1d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "291d3cfd5129d1d1f88ab81d634a2c676708c372cbf0782e61cacda1956a17a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001017.json b/manifests/batches/mathlib/001017.json
index d7e1870282cb64a8e43f02136028b3248810a9e7..57fd607164243562de5eebd50e23847015d2901c 100644
--- a/manifests/batches/mathlib/001017.json
+++ b/manifests/batches/mathlib/001017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001017",
   "batch_fingerprint": "47f2cfc36d3983d7d3502ba3635ca1b043f95ff2a46175b4e00c186d45f1aad1",
   "evidence": {
@@ -1431,22 +1430,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001017-0000-c58d7aead340ff6e.parquet",
-      "sha256": "c58d7aead340ff6e8f9948ce2c89742f2c5cbb9ac1f03d9c10127a0fb69fe0c4",
-      "bytes": 56667,
-      "rows": 22,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001017-0000-1b4d332a1be0775e.parquet",
-      "sha256": "1b4d332a1be0775e4afea5643eb3191cc8c9c80a22f0257df56b1096f6a034f3",
-      "bytes": 35557,
-      "rows": 1,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.iInf_of_empty",
     "mathlib:Nat.iSup_le_succ",
@@ -1474,5 +1458,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Lattice.lean\",null,null,\"Nat.sInf_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Lattice.lean\",null,null,\"Nat.sInf_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Lattice.lean\",null,null,\"Nat.sInf_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56667,
+      "path": "data/train/p69/mathlib-001017-0000-c58d7aead340ff6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c58d7aead340ff6e8f9948ce2c89742f2c5cbb9ac1f03d9c10127a0fb69fe0c4"
+    },
+    {
+      "bytes": 35557,
+      "path": "data/dev/p69/mathlib-001017-0000-1b4d332a1be0775e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1b4d332a1be0775e4afea5643eb3191cc8c9c80a22f0257df56b1096f6a034f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001018.json b/manifests/batches/mathlib/001018.json
index 3c16a28f20653a7654520491cf8e5011bff72d55..d16d92c8a12e56d16091fad9a63d7a5a23ee6e7c 100644
--- a/manifests/batches/mathlib/001018.json
+++ b/manifests/batches/mathlib/001018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001018",
   "batch_fingerprint": "e8381c4809794879de8bda111e300240a59f890e762aab805b2121e6392e2fc9",
   "evidence": {
@@ -1856,29 +1855,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001018-0000-df0bf9da89a8b0f7.parquet",
-      "sha256": "df0bf9da89a8b0f7615979627d7113f9a41aab5e0bcf7d452fee5243b4baddc0",
-      "bytes": 63110,
-      "rows": 26,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/dev/mathlib-001018-0000-d706e4805332725c.parquet",
-      "sha256": "d706e4805332725c21ce01475071709fb25e08a3fc9b04c68d15d2b79f416cf5",
-      "bytes": 38256,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/mathlib-001018-0000-54077aa16a7b18d2.parquet",
-      "sha256": "54077aa16a7b18d23fe8a90b65184a91ed0ed9dfb29ddbc5f36ebcdac0010666",
-      "bytes": 46849,
-      "rows": 3,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.clog_anti_left",
     "mathlib:Nat.clog_eq_one",
@@ -1918,5 +1895,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Log.lean\",null,null,\"Nat.pow_pred_clog_lt_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/MaxPowDiv.lean\",null,null,\"Nat.maxPowDiv.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/MaxPowDiv.lean\",null,null,\"Nat.maxPowDiv.zero_base\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63110,
+      "path": "data/train/p67/mathlib-001018-0000-df0bf9da89a8b0f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "df0bf9da89a8b0f7615979627d7113f9a41aab5e0bcf7d452fee5243b4baddc0"
+    },
+    {
+      "bytes": 38256,
+      "path": "data/dev/p67/mathlib-001018-0000-d706e4805332725c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d706e4805332725c21ce01475071709fb25e08a3fc9b04c68d15d2b79f416cf5"
+    },
+    {
+      "bytes": 46849,
+      "path": "data/internal_test/p67/mathlib-001018-0000-54077aa16a7b18d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "54077aa16a7b18d23fe8a90b65184a91ed0ed9dfb29ddbc5f36ebcdac0010666"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001019.json b/manifests/batches/mathlib/001019.json
index 7edac48f4f23413c964ed1329edbb7a4535afeef..ea8311d37c4c706563c6472e4669a640eb873ef2 100644
--- a/manifests/batches/mathlib/001019.json
+++ b/manifests/batches/mathlib/001019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001019",
   "batch_fingerprint": "1002840ee463cc1194a51f6320a085b37b73d061052c89a57783d4ffe7bd243a",
   "evidence": {
@@ -2719,29 +2718,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001019-0000-5dd67a52a0395104.parquet",
-      "sha256": "5dd67a52a03951045cd211f0f9d777a61d7696e0915ba86278a5b8a3e284ed1f",
-      "bytes": 132468,
-      "rows": 37,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/dev/mathlib-001019-0000-461f02cd6416d91f.parquet",
-      "sha256": "461f02cd6416d91f5d46fe86cc6401ac0ebb7dc8a34ba83107d9a92df5155a6b",
-      "bytes": 41151,
-      "rows": 4,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001019-0000-e155b302bdc1571e.parquet",
-      "sha256": "e155b302bdc1571e6d39856047d8fc25aeeec98313f8a8941a10fa99dea63e0e",
-      "bytes": 45122,
-      "rows": 13,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.ModEq.add",
     "mathlib:Nat.ModEq.add_left_cancel",
@@ -2809,5 +2786,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Multiplicity.lean\",null,null,\"Nat.Prime.multiplicity_factorial_le_div_pred\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Multiplicity.lean\",null,null,\"Nat.Prime.pow_dvd_factorial_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Multiplicity.lean\",null,null,\"Nat.Prime.sub_one_mul_multiplicity_factorial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132468,
+      "path": "data/train/pec/mathlib-001019-0000-5dd67a52a0395104.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "5dd67a52a03951045cd211f0f9d777a61d7696e0915ba86278a5b8a3e284ed1f"
+    },
+    {
+      "bytes": 41151,
+      "path": "data/dev/pec/mathlib-001019-0000-461f02cd6416d91f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "461f02cd6416d91f5d46fe86cc6401ac0ebb7dc8a34ba83107d9a92df5155a6b"
+    },
+    {
+      "bytes": 45122,
+      "path": "data/internal_test/pec/mathlib-001019-0000-e155b302bdc1571e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e155b302bdc1571e6d39856047d8fc25aeeec98313f8a8941a10fa99dea63e0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001020.json b/manifests/batches/mathlib/001020.json
index 1a9ce53084c4c05c6dcce0dd62099fc6fd7611a8..cc6e9051e36169670ea39c26039e3bc42956ccc1 100644
--- a/manifests/batches/mathlib/001020.json
+++ b/manifests/batches/mathlib/001020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001020",
   "batch_fingerprint": "450669c98d8041785ed661f28c991126f4411f8e3dbf457f21c58419685e9b95",
   "evidence": {
@@ -1566,15 +1565,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001020-0000-dbc00520cdef2813.parquet",
-      "sha256": "dbc00520cdef28132be1d3b637523447d0f052d008c21802ea2be4fc87bb685a",
-      "bytes": 77575,
-      "rows": 31,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.count_nth_succ",
     "mathlib:Nat.count_nth_zero",
@@ -1608,5 +1599,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Nth.lean\",null,null,\"Nat.nth_zero_of_exists\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Nth.lean\",null,null,\"Nat.nth_zero_of_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Order/Lemmas.lean\",null,null,\"Nat.set_eq_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77575,
+      "path": "data/train/pca/mathlib-001020-0000-dbc00520cdef2813.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "dbc00520cdef28132be1d3b637523447d0f052d008c21802ea2be4fc87bb685a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001021.json b/manifests/batches/mathlib/001021.json
index 6e5cb6263d57f8211118c21cda1db2cb0a817556..ee344043ee5c051b4f694e88f9ea662b4e7a92bf 100644
--- a/manifests/batches/mathlib/001021.json
+++ b/manifests/batches/mathlib/001021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001021",
   "batch_fingerprint": "3f20d83ff4422231de15c500aac7c273a9e9d7bbcf835a37fd03d1569991dc66",
   "evidence": {
@@ -1300,15 +1299,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001021-0000-e1cba61756ed0f98.parquet",
-      "sha256": "e1cba61756ed0f982af91da1b6583794250513e6f25c1d547895e8757b242dd2",
-      "bytes": 54175,
-      "rows": 16,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.left_le_pair",
     "mathlib:Nat.pair_lt_max_add_one_sq",
@@ -1334,5 +1325,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Pairing.lean\",null,null,\"Nat.unpair_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Pairing.lean\",null,null,\"Set.iUnion_unpair_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Pairing.lean\",null,null,\"iSup_unpair\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54175,
+      "path": "data/train/pb7/mathlib-001021-0000-e1cba61756ed0f98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e1cba61756ed0f982af91da1b6583794250513e6f25c1d547895e8757b242dd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001022.json b/manifests/batches/mathlib/001022.json
index 72a3da6cb0ae436d3a8989f0ce1387c2bb4169f0..6bd55087216bbe80d7abaeca8379112e22cf08b1 100644
--- a/manifests/batches/mathlib/001022.json
+++ b/manifests/batches/mathlib/001022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001022",
   "batch_fingerprint": "23f7357bc19690d45bf0e8c508fb626957dbe27f94f7c810365358eb78842c61",
   "evidence": {
@@ -2359,29 +2358,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001022-0000-91428d917d861c4c.parquet",
-      "sha256": "91428d917d861c4ccb88fc32977948e1e3b8821af82ebbae7b3ab56252a290f7",
-      "bytes": 136080,
-      "rows": 63,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/dev/mathlib-001022-0000-6518ebcc780f6d11.parquet",
-      "sha256": "6518ebcc780f6d113c8f47c1556710b991e09ee457290dc2a9ba847afea5cfb6",
-      "bytes": 23590,
-      "rows": 1,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001022-0000-409e7e9d9d1ea5e0.parquet",
-      "sha256": "409e7e9d9d1ea5e034ddd5b5b6fa38eeef80b729e253386021fa15cc07a7d182",
-      "bytes": 53261,
-      "rows": 6,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Periodic.map_mod_nat",
     "mathlib:Nat.periodic_coprime",
@@ -2483,5 +2460,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Periodic.lean\",null,null,\"Nat.periodic_coprime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Periodic.lean\",null,null,\"Nat.periodic_gcd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Periodic.lean\",null,null,\"Nat.periodic_mod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136080,
+      "path": "data/train/pe6/mathlib-001022-0000-91428d917d861c4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "91428d917d861c4ccb88fc32977948e1e3b8821af82ebbae7b3ab56252a290f7"
+    },
+    {
+      "bytes": 23590,
+      "path": "data/dev/pe6/mathlib-001022-0000-6518ebcc780f6d11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6518ebcc780f6d113c8f47c1556710b991e09ee457290dc2a9ba847afea5cfb6"
+    },
+    {
+      "bytes": 53261,
+      "path": "data/internal_test/pe6/mathlib-001022-0000-409e7e9d9d1ea5e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "409e7e9d9d1ea5e034ddd5b5b6fa38eeef80b729e253386021fa15cc07a7d182"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001023.json b/manifests/batches/mathlib/001023.json
index 284056292405d6a05a1df37c0f1cfbaf9759168d..01e9f48169f2f1e2132926c5a0bf908e25f36de3 100644
--- a/manifests/batches/mathlib/001023.json
+++ b/manifests/batches/mathlib/001023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001023",
   "batch_fingerprint": "f78d87d06fe268fbfc8c1555fc4fd9f0e4c27bb1f14c09e6cd35d0c57f3d24e3",
   "evidence": {
@@ -3593,29 +3592,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001023-0000-93adcd0cb4567ec9.parquet",
-      "sha256": "93adcd0cb4567ec94b8d715652f843034bedd62d18c19f146293a7fa1974248f",
-      "bytes": 122804,
-      "rows": 52,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/dev/mathlib-001023-0000-45fa7a63c40c17b0.parquet",
-      "sha256": "45fa7a63c40c17b014ed2582d03fc80240e1a6ed5aa3fdf02711c9950467e607",
-      "bytes": 50790,
-      "rows": 9,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001023-0000-9c76578e39178f4d.parquet",
-      "sha256": "9c76578e39178f4de2d2ed6027b90b8f7ff0baff3169a4df43fd376b2c5c252b",
-      "bytes": 35293,
-      "rows": 3,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.coprime_iff_not_dvd",
     "mathlib:Nat.Prime.eq_one_or_self_of_dvd",
@@ -3693,5 +3670,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/PrimeFin.lean\",null,null,\"Nat.primeFactors_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/PrimeFin.lean\",null,null,\"Nat.primeFactors_prime_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/PrimeFin.lean\",null,null,\"Nat.primeFactors_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122804,
+      "path": "data/train/pc9/mathlib-001023-0000-93adcd0cb4567ec9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "93adcd0cb4567ec94b8d715652f843034bedd62d18c19f146293a7fa1974248f"
+    },
+    {
+      "bytes": 50790,
+      "path": "data/dev/pc9/mathlib-001023-0000-45fa7a63c40c17b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "45fa7a63c40c17b014ed2582d03fc80240e1a6ed5aa3fdf02711c9950467e607"
+    },
+    {
+      "bytes": 35293,
+      "path": "data/internal_test/pc9/mathlib-001023-0000-9c76578e39178f4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9c76578e39178f4de2d2ed6027b90b8f7ff0baff3169a4df43fd376b2c5c252b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001024.json b/manifests/batches/mathlib/001024.json
index 495129b263cffac05005a291b517e9c17dbb9236..593d25826dec8273ca847ece6eaf16c04ae71a6b 100644
--- a/manifests/batches/mathlib/001024.json
+++ b/manifests/batches/mathlib/001024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001024",
   "batch_fingerprint": "fe8a28ebc3384bf0e6f3a3228db5d87c5daf92045a3fa3335d32c0b5cfc76ce0",
   "evidence": {
@@ -800,22 +799,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001024-0000-9ca4a237a663200a.parquet",
-      "sha256": "9ca4a237a663200a531824cd7f5fe91a7f3fa8437b95e6b2fffef5861d9d1369",
-      "bytes": 49596,
-      "rows": 14,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001024-0000-4a338b5ce8e32bf6.parquet",
-      "sha256": "4a338b5ce8e32bf6dae77dfaadae051cc227b8a0e8cef0388f1c4c299e18a012",
-      "bytes": 28257,
-      "rows": 2,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.lt_size",
     "mathlib:Nat.range_of_succ",
@@ -843,5 +827,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Size.lean\",null,null,\"Nat.size_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Size.lean\",null,null,\"Nat.size_shiftLeft\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Size.lean\",null,null,\"Nat.size_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49596,
+      "path": "data/train/p37/mathlib-001024-0000-9ca4a237a663200a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9ca4a237a663200a531824cd7f5fe91a7f3fa8437b95e6b2fffef5861d9d1369"
+    },
+    {
+      "bytes": 28257,
+      "path": "data/internal_test/p37/mathlib-001024-0000-4a338b5ce8e32bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4a338b5ce8e32bf6dae77dfaadae051cc227b8a0e8cef0388f1c4c299e18a012"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001025.json b/manifests/batches/mathlib/001025.json
index 81c4bb4058cccee822c2be77320471935a72f1a4..c5144821f44ef9f58ed8261365a600cb31978501 100644
--- a/manifests/batches/mathlib/001025.json
+++ b/manifests/batches/mathlib/001025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001025",
   "batch_fingerprint": "8d9f84df8aa99c3550a0416320a3c536c398b1ffbcfa1369300224f8329e11a6",
   "evidence": {
@@ -2155,22 +2154,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001025-0000-a8490d05945cc6dc.parquet",
-      "sha256": "a8490d05945cc6dc6b916971481f48fc53625b741866e3a6d45e9430a6d35cbc",
-      "bytes": 117634,
-      "rows": 34,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/dev/mathlib-001025-0000-1a6d490740976ac6.parquet",
-      "sha256": "1a6d490740976ac6d023cb6cdc8588c02f57a7502cb34d6c5bebbeb84a082c4c",
-      "bytes": 44063,
-      "rows": 5,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.minSqFac_dvd",
     "mathlib:Nat.minSqFac_prime",
@@ -2202,5 +2186,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Squarefree.lean\",null,null,\"Nat.sum_divisors_filter_squarefree\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/SuccPred.lean\",null,null,\"Nat.pred_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/SuccPred.lean\",null,null,\"Nat.succ_iterate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117634,
+      "path": "data/train/p19/mathlib-001025-0000-a8490d05945cc6dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "a8490d05945cc6dc6b916971481f48fc53625b741866e3a6d45e9430a6d35cbc"
+    },
+    {
+      "bytes": 44063,
+      "path": "data/dev/p19/mathlib-001025-0000-1a6d490740976ac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1a6d490740976ac6d023cb6cdc8588c02f57a7502cb34d6c5bebbeb84a082c4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001026.json b/manifests/batches/mathlib/001026.json
index 6149626c636052e39782de2054e01f9a6cb1b0a6..a56c1c5f9f8b42074c7626ab95cb138bdd0d2de0 100644
--- a/manifests/batches/mathlib/001026.json
+++ b/manifests/batches/mathlib/001026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001026",
   "batch_fingerprint": "7886ff16c642697d9b836cb503af30df693458a86fe144785bace699545a049d",
   "evidence": {
@@ -1922,22 +1921,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001026-0000-432be9475bac7a58.parquet",
-      "sha256": "432be9475bac7a58ee39ecf2b44bd4e7330a16062901f42e2556881a1250ae5d",
-      "bytes": 83831,
-      "rows": 28,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001026-0000-66e3f8fe48ac551c.parquet",
-      "sha256": "66e3f8fe48ac551c220df29b01a278d008de47d7bedcd6ba9ca01c4821cdf095",
-      "bytes": 26452,
-      "rows": 1,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.card_units_zmod_lt_sub_one",
     "mathlib:Nat.dvd_two_of_totient_le_one",
@@ -1967,5 +1951,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Totient.lean\",null,null,\"Nat.totient_prime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Totient.lean\",null,null,\"Nat.totient_prime_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/Totient.lean\",null,null,\"ZMod.card_units_eq_totient\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83831,
+      "path": "data/train/p96/mathlib-001026-0000-432be9475bac7a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "432be9475bac7a58ee39ecf2b44bd4e7330a16062901f42e2556881a1250ae5d"
+    },
+    {
+      "bytes": 26452,
+      "path": "data/internal_test/p96/mathlib-001026-0000-66e3f8fe48ac551c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "66e3f8fe48ac551c220df29b01a278d008de47d7bedcd6ba9ca01c4821cdf095"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001027.json b/manifests/batches/mathlib/001027.json
index 7f493a12fe396f70a3a6139fbe775d8bc6625e4d..9d4c286ab0992236d0267063dbc39d895b572e12 100644
--- a/manifests/batches/mathlib/001027.json
+++ b/manifests/batches/mathlib/001027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001027",
   "batch_fingerprint": "135cf7a3f8a6b662dda7b735ccb95f2d35d4edce29783509e9174ef12d23d195",
   "evidence": {
@@ -596,22 +595,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001027-0000-ef1a8cf0a209dd7a.parquet",
-      "sha256": "ef1a8cf0a209dd7a19ac9216ba71dc3c5c158ad5384c56706dc3831bfda0bb7d",
-      "bytes": 28302,
-      "rows": 2,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/mathlib-001027-0000-d8a66a5909c61cb3.parquet",
-      "sha256": "d8a66a5909c61cb36698b32e9e364834dd07cd7ea1f7a3adbd6015443e37ee85",
-      "bytes": 37047,
-      "rows": 3,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.WithBot.coe_nonneg",
     "mathlib:Nat.WithBot.lt_one_iff_le_zero",
@@ -623,5 +607,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Nat/WithBot.lean\",null,null,\"Nat.WithBot.lt_one_iff_le_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Num/Bitwise.lean\",null,null,\"SNum.bit_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Num/Bitwise.lean\",null,null,\"SNum.bit_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 28302,
+      "path": "data/train/p48/mathlib-001027-0000-ef1a8cf0a209dd7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ef1a8cf0a209dd7a19ac9216ba71dc3c5c158ad5384c56706dc3831bfda0bb7d"
+    },
+    {
+      "bytes": 37047,
+      "path": "data/internal_test/p48/mathlib-001027-0000-d8a66a5909c61cb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d8a66a5909c61cb36698b32e9e364834dd07cd7ea1f7a3adbd6015443e37ee85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001028.json b/manifests/batches/mathlib/001028.json
index b6c41d31758505a77b67b3c9ed10674bcb84ce98..3d23f24049e50f1fb3903c21673afde8f4d5cb25 100644
--- a/manifests/batches/mathlib/001028.json
+++ b/manifests/batches/mathlib/001028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001028",
   "batch_fingerprint": "40f0c7bd4bd32ca72a0b5760d1db70424a96cd8352c194c160764ab2ee57e88c",
   "evidence": {
@@ -8966,7 +8965,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001029.json b/manifests/batches/mathlib/001029.json
index df0a80b3b73075d3d7277785bbcf2b629e7d1aa3..cd4f95171494a9da731e64a8a70c561fe71db720 100644
--- a/manifests/batches/mathlib/001029.json
+++ b/manifests/batches/mathlib/001029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001029",
   "batch_fingerprint": "7f690ed36be90b1dcbe13959b4a82fd58b0e2ae0071510d72dfdafdcb8577f99",
   "evidence": {
@@ -1297,22 +1296,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001029-0000-84a29ca93807dfc0.parquet",
-      "sha256": "84a29ca93807dfc0b7c27dc04bce4546c21a677b84dccaefd20647db413df00f",
-      "bytes": 123967,
-      "rows": 43,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001029-0000-ff5aebc54c96da02.parquet",
-      "sha256": "ff5aebc54c96da0273679cc71225ed29050809d0b2ec57b8968fe466afcd8de5",
-      "bytes": 29247,
-      "rows": 1,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Opposite.unop_injective",
     "mathlib:Option.bind_congr",
@@ -1394,5 +1378,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/Basic.lean\",null,null,\"Option.pmap_eq_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/Basic.lean\",null,null,\"Option.pmap_eq_none_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/Basic.lean\",null,null,\"Option.pmap_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123967,
+      "path": "data/train/p1a/mathlib-001029-0000-84a29ca93807dfc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "84a29ca93807dfc0b7c27dc04bce4546c21a677b84dccaefd20647db413df00f"
+    },
+    {
+      "bytes": 29247,
+      "path": "data/internal_test/p1a/mathlib-001029-0000-ff5aebc54c96da02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ff5aebc54c96da0273679cc71225ed29050809d0b2ec57b8968fe466afcd8de5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001030.json b/manifests/batches/mathlib/001030.json
index e3e7418b6d6af0245e8620a0141918e031b42d8c..37402b2916253b51831250b095b18f22a6b069ef 100644
--- a/manifests/batches/mathlib/001030.json
+++ b/manifests/batches/mathlib/001030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001030",
   "batch_fingerprint": "80062e08c8987b1e16ffecfba9585fec2fedd1e971d50acd39cb64b33eca647e",
   "evidence": {
@@ -194,29 +193,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001030-0000-eaae572e7eebc0f8.parquet",
-      "sha256": "eaae572e7eebc0f8ea17978cbcf5591b199d4477c78bb25bf4ad81792b4c6ccb",
-      "bytes": 76240,
-      "rows": 25,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001030-0000-b3f327a27789fdc5.parquet",
-      "sha256": "b3f327a27789fdc5527612cbd24ae45f4fccb32c1ff632b61fd36a09a0e4aff1",
-      "bytes": 40885,
-      "rows": 2,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001030-0000-9f4742dd4a342114.parquet",
-      "sha256": "9f4742dd4a34211424f5a5fb1111815da2eba321f54cf33d495f88d04d75669b",
-      "bytes": 43273,
-      "rows": 2,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Option.elim'_eq_elim",
     "mathlib:Option.map_map\u2082",
@@ -276,5 +253,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/NAry.lean\",null,null,\"Option.map\u2082_right_identity\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/NAry.lean\",null,null,\"Option.map\u2082_swap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Option/NAry.lean\",null,null,\"Option.mem_map\u2082_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76240,
+      "path": "data/train/p65/mathlib-001030-0000-eaae572e7eebc0f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "eaae572e7eebc0f8ea17978cbcf5591b199d4477c78bb25bf4ad81792b4c6ccb"
+    },
+    {
+      "bytes": 40885,
+      "path": "data/dev/p65/mathlib-001030-0000-b3f327a27789fdc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b3f327a27789fdc5527612cbd24ae45f4fccb32c1ff632b61fd36a09a0e4aff1"
+    },
+    {
+      "bytes": 43273,
+      "path": "data/internal_test/p65/mathlib-001030-0000-9f4742dd4a342114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9f4742dd4a34211424f5a5fb1111815da2eba321f54cf33d495f88d04d75669b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001031.json b/manifests/batches/mathlib/001031.json
index e8c10a0f65d08ce4c04e86369d6c4ab3247d9bb1..f645c1eb69de378648aa034339a45bd613dd6b45 100644
--- a/manifests/batches/mathlib/001031.json
+++ b/manifests/batches/mathlib/001031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001031",
   "batch_fingerprint": "04c8eaa7175da48f6d5c94b69634892176b25c736d260c57ac5f32669e1824de",
   "evidence": {
@@ -7206,29 +7205,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001031-0000-cfb37b8c53540c98.parquet",
-      "sha256": "cfb37b8c53540c9878cdc69aa6efc4cfd0150bfe9b2afcc23ee6fa0cd903030b",
-      "bytes": 270577,
-      "rows": 99,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001031-0000-cb70d89ffb59ebb4.parquet",
-      "sha256": "cb70d89ffb59ebb4b09ed8a4c7e5104ec5e3b9163fc01f4fc65cff53b8d0483a",
-      "bytes": 56466,
-      "rows": 7,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001031-0000-68a0782055a8f1e2.parquet",
-      "sha256": "68a0782055a8f1e27a031bf8b9439b4571bcb686214094da38d0526e6a77b100",
-      "bytes": 69173,
-      "rows": 13,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordnode.Balanced.dual",
     "mathlib:Ordnode.Bounded.dual",
@@ -7390,5 +7367,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Ordmap/Ordset.lean\",null,null,\"Ordnode.splitMax_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Ordmap/Ordset.lean\",null,null,\"Ordnode.splitMin_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Ordmap/Ordset.lean\",null,null,\"Ordnode.toList_node\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270577,
+      "path": "data/train/pbf/mathlib-001031-0000-cfb37b8c53540c98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "cfb37b8c53540c9878cdc69aa6efc4cfd0150bfe9b2afcc23ee6fa0cd903030b"
+    },
+    {
+      "bytes": 56466,
+      "path": "data/dev/pbf/mathlib-001031-0000-cb70d89ffb59ebb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cb70d89ffb59ebb4b09ed8a4c7e5104ec5e3b9163fc01f4fc65cff53b8d0483a"
+    },
+    {
+      "bytes": 69173,
+      "path": "data/internal_test/pbf/mathlib-001031-0000-68a0782055a8f1e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "68a0782055a8f1e27a031bf8b9439b4571bcb686214094da38d0526e6a77b100"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001032.json b/manifests/batches/mathlib/001032.json
index e86886811ce99400b08156ea8fc796e60d7b063e..cce213896a79f1a5ece6d81eb61266a5099a1fe3 100644
--- a/manifests/batches/mathlib/001032.json
+++ b/manifests/batches/mathlib/001032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001032",
   "batch_fingerprint": "a3e64d4568d2493e76b88cd6bea0aa0b461d68bc8e20c5f92dca95cc4b80bad8",
   "evidence": {
@@ -2313,29 +2312,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001032-0000-2732a6fc09682b67.parquet",
-      "sha256": "2732a6fc09682b67cc6de6569344e72bb3e3e9613216013f60399fb36e10a9e6",
-      "bytes": 242902,
-      "rows": 66,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001032-0000-12268dd055aee3b3.parquet",
-      "sha256": "12268dd055aee3b3dcb945ee84d97eb4c6e5673e0bcd91afe28d2b4b9e062177",
-      "bytes": 43606,
-      "rows": 4,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001032-0000-35d1db7201985bf6.parquet",
-      "sha256": "35d1db7201985bf6b1abd66ae29bb32abcf1c3188b5e38df72700ba361acd959",
-      "bytes": 87656,
-      "rows": 20,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PEquiv.bot_trans",
     "mathlib:PEquiv.inj",
@@ -2419,5 +2396,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFun.lean\",null,null,\"PFun.preimage_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFun.lean\",null,null,\"PFun.prodLift_fst_comp_snd_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFun.lean\",null,null,\"PFun.prodMap_id_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242902,
+      "path": "data/train/p04/mathlib-001032-0000-2732a6fc09682b67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "2732a6fc09682b67cc6de6569344e72bb3e3e9613216013f60399fb36e10a9e6"
+    },
+    {
+      "bytes": 43606,
+      "path": "data/dev/p04/mathlib-001032-0000-12268dd055aee3b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "12268dd055aee3b3dcb945ee84d97eb4c6e5673e0bcd91afe28d2b4b9e062177"
+    },
+    {
+      "bytes": 87656,
+      "path": "data/internal_test/p04/mathlib-001032-0000-35d1db7201985bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "35d1db7201985bf6b1abd66ae29bb32abcf1c3188b5e38df72700ba361acd959"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001033.json b/manifests/batches/mathlib/001033.json
index 43b53fe171ddbac6f44a10b797f4854e4dbf0979..f508d599b5b651c5d5038b00718b1ae1ebaaf14b 100644
--- a/manifests/batches/mathlib/001033.json
+++ b/manifests/batches/mathlib/001033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001033",
   "batch_fingerprint": "ae4c9ed201a910b2e68e92884dd72f7759d2be48c2fce77d6e234f1b95d1c09c",
   "evidence": {
@@ -1221,29 +1220,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001033-0000-6bffb781e00962b2.parquet",
-      "sha256": "6bffb781e00962b219d78ef4414a72019cecb717325650c182b3df5e10c5d2db",
-      "bytes": 66272,
-      "rows": 12,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001033-0000-d210faebd87a82f6.parquet",
-      "sha256": "d210faebd87a82f61cb298d0a1bb496962d80f4c08f9b13d64d0849794d7cbca",
-      "bytes": 41173,
-      "rows": 6,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001033-0000-e900b6dd0fbb011e.parquet",
-      "sha256": "e900b6dd0fbb011e9051588c8a4ab0d887a5a5206c222de1317d257664c2cb1a",
-      "bytes": 25343,
-      "rows": 1,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPFunctor.M.dest'_eq_dest'",
     "mathlib:MvPFunctor.M.dest_map",
@@ -1263,5 +1240,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Multivariate/M.lean\",null,null,\"MvPFunctor.M.dest'_eq_dest'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Multivariate/M.lean\",null,null,\"MvPFunctor.M.dest_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Multivariate/M.lean\",null,null,\"MvPFunctor.M.map_dest\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66272,
+      "path": "data/train/p20/mathlib-001033-0000-6bffb781e00962b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6bffb781e00962b219d78ef4414a72019cecb717325650c182b3df5e10c5d2db"
+    },
+    {
+      "bytes": 41173,
+      "path": "data/dev/p20/mathlib-001033-0000-d210faebd87a82f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d210faebd87a82f61cb298d0a1bb496962d80f4c08f9b13d64d0849794d7cbca"
+    },
+    {
+      "bytes": 25343,
+      "path": "data/internal_test/p20/mathlib-001033-0000-e900b6dd0fbb011e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e900b6dd0fbb011e9051588c8a4ab0d887a5a5206c222de1317d257664c2cb1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001034.json b/manifests/batches/mathlib/001034.json
index 50d5e5bbff58c415913f15c65d3e0dae06818d7a..0f36e3126471d5e84ea1e4fae4581f76483d0e87 100644
--- a/manifests/batches/mathlib/001034.json
+++ b/manifests/batches/mathlib/001034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001034",
   "batch_fingerprint": "8a425373a4b3cfa03e6477315fab21e6dafa6a2ad648457466d4587061fdfd0a",
   "evidence": {
@@ -943,22 +942,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001034-0000-0e19d608a5d922f7.parquet",
-      "sha256": "0e19d608a5d922f7900bed2b1a31e072accccc8abd64ff2e81ac64c10721af68",
-      "bytes": 93764,
-      "rows": 28,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001034-0000-0e015105c181cbda.parquet",
-      "sha256": "0e015105c181cbda8e18e61faa1eef7148d86ab72e0ff2f8df31a6e0bf9e108c",
-      "bytes": 55730,
-      "rows": 5,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPFunctor.comp_wPathCasesOn",
     "mathlib:MvPFunctor.map_objAppend1",
@@ -984,5 +968,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Univariate/Basic.lean\",null,null,\"PFunctor.W.mk_dest\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Univariate/Basic.lean\",null,null,\"PFunctor.fst_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PFunctor/Univariate/Basic.lean\",null,null,\"PFunctor.iget_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93764,
+      "path": "data/train/p61/mathlib-001034-0000-0e19d608a5d922f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "0e19d608a5d922f7900bed2b1a31e072accccc8abd64ff2e81ac64c10721af68"
+    },
+    {
+      "bytes": 55730,
+      "path": "data/internal_test/p61/mathlib-001034-0000-0e015105c181cbda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0e015105c181cbda8e18e61faa1eef7148d86ab72e0ff2f8df31a6e0bf9e108c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001035.json b/manifests/batches/mathlib/001035.json
index cc1885ef70296d8629a580c8066ca9cb9ffd8776..7572f2893dad2f9aaa25deaf4d90d5e07733391c 100644
--- a/manifests/batches/mathlib/001035.json
+++ b/manifests/batches/mathlib/001035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001035",
   "batch_fingerprint": "18fb25a1ae69bdc7e6a2d44d0db938db6691ae38e9d4e39446acdc1ab6478539",
   "evidence": {
@@ -4202,22 +4201,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001035-0000-2195ade3b9cdc544.parquet",
-      "sha256": "2195ade3b9cdc544d2c69b9129f06e296750abb7107ad21a04033b374ed5e411",
-      "bytes": 141530,
-      "rows": 51,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001035-0000-62650d52fa700a0c.parquet",
-      "sha256": "62650d52fa700a0c3e97b06ce158548627dbf77e5d2f9e1a0d12b86251834e43",
-      "bytes": 26193,
-      "rows": 1,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PFunctor.Approx.agree_children",
     "mathlib:PFunctor.Approx.agree_trival",
@@ -4263,5 +4247,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Basic.lean\",null,null,\"PNat.mul_div_exact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Basic.lean\",null,null,\"PNat.one_add_natPred\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Basic.lean\",null,null,\"PNat.pos_of_div_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141530,
+      "path": "data/train/p0e/mathlib-001035-0000-2195ade3b9cdc544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "2195ade3b9cdc544d2c69b9129f06e296750abb7107ad21a04033b374ed5e411"
+    },
+    {
+      "bytes": 26193,
+      "path": "data/internal_test/p0e/mathlib-001035-0000-62650d52fa700a0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "62650d52fa700a0c3e97b06ce158548627dbf77e5d2f9e1a0d12b86251834e43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001036.json b/manifests/batches/mathlib/001036.json
index 79a8310a1b6abec5d6b5c4ed48fc7073b94d4532..d4d7fa7711944ebdfb40e2429602d74525474d3c 100644
--- a/manifests/batches/mathlib/001036.json
+++ b/manifests/batches/mathlib/001036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001036",
   "batch_fingerprint": "ed9513eb600580f337db6a6cae9a6b0fc834d4c89948bc25f71d507e3b0d3b26",
   "evidence": {
@@ -1895,29 +1894,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001036-0000-3a06012e513b44b8.parquet",
-      "sha256": "3a06012e513b44b8d61b9629f918fe79653783cd230ea128d6c9f0baadcb5a77",
-      "bytes": 69000,
-      "rows": 22,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001036-0000-5a13be115bd9e94c.parquet",
-      "sha256": "5a13be115bd9e94c540991161ab260ef3a40d8bc188fc9321db5a985c8477123",
-      "bytes": 55860,
-      "rows": 6,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001036-0000-be47bf60665dc1f9.parquet",
-      "sha256": "be47bf60665dc1f90a7c3d8ea253a35d18f9bcb98c106fe84ac09aa4fec29c7c",
-      "bytes": 57317,
-      "rows": 15,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.toPNat'_coe",
     "mathlib:PNat.factorMultiset_le_iff'",
@@ -1955,5 +1932,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Factors.lean\",null,null,\"PrimeMultiset.prod_ofPNatList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Factors.lean\",null,null,\"PrimeMultiset.prod_ofPNatMultiset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Factors.lean\",null,null,\"PrimeMultiset.prod_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69000,
+      "path": "data/train/p96/mathlib-001036-0000-3a06012e513b44b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3a06012e513b44b8d61b9629f918fe79653783cd230ea128d6c9f0baadcb5a77"
+    },
+    {
+      "bytes": 55860,
+      "path": "data/dev/p96/mathlib-001036-0000-5a13be115bd9e94c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5a13be115bd9e94c540991161ab260ef3a40d8bc188fc9321db5a985c8477123"
+    },
+    {
+      "bytes": 57317,
+      "path": "data/internal_test/p96/mathlib-001036-0000-be47bf60665dc1f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "be47bf60665dc1f90a7c3d8ea253a35d18f9bcb98c106fe84ac09aa4fec29c7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001037.json b/manifests/batches/mathlib/001037.json
index 223daafbc8d19b453bc6b152f9d72d7ca529741c..3a03abe1a0d3dbcaced4dc66d9afa161b291d6a3 100644
--- a/manifests/batches/mathlib/001037.json
+++ b/manifests/batches/mathlib/001037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001037",
   "batch_fingerprint": "753210b7be5b6e6d2c6b3666a864cc6f0950d19f15c4f3d58c7bf64617f1a581",
   "evidence": {
@@ -489,29 +488,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001037-0000-07b4c2184b359252.parquet",
-      "sha256": "07b4c2184b359252383cfbf0ecefb1d7ee3608a9425b899cac94aba45929270b",
-      "bytes": 44572,
-      "rows": 18,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001037-0000-a23de01f3e11efb3.parquet",
-      "sha256": "a23de01f3e11efb3f1491f6bd1e8c09344afedd937f77b0b2eb0cd7bd961c13e",
-      "bytes": 35791,
-      "rows": 3,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001037-0000-06a32b6d2e45576e.parquet",
-      "sha256": "06a32b6d2e45576e21c330bea853cb3792b5260f6495e49e89630b8dd45497d0",
-      "bytes": 35049,
-      "rows": 2,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PNat.card_Icc",
     "mathlib:PNat.card_Ico",
@@ -545,5 +522,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Interval.lean\",null,null,\"PNat.card_fintype_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Interval.lean\",null,null,\"PNat.card_fintype_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Interval.lean\",null,null,\"PNat.card_uIcc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44572,
+      "path": "data/train/p42/mathlib-001037-0000-07b4c2184b359252.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "07b4c2184b359252383cfbf0ecefb1d7ee3608a9425b899cac94aba45929270b"
+    },
+    {
+      "bytes": 35791,
+      "path": "data/dev/p42/mathlib-001037-0000-a23de01f3e11efb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a23de01f3e11efb3f1491f6bd1e8c09344afedd937f77b0b2eb0cd7bd961c13e"
+    },
+    {
+      "bytes": 35049,
+      "path": "data/internal_test/p42/mathlib-001037-0000-06a32b6d2e45576e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "06a32b6d2e45576e21c330bea853cb3792b5260f6495e49e89630b8dd45497d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001038.json b/manifests/batches/mathlib/001038.json
index f0cb5ed9c659672c5d9971f246a9e2ba5798ef30..17abf6335946475c7c458dd0cd98bddbce1e31b7 100644
--- a/manifests/batches/mathlib/001038.json
+++ b/manifests/batches/mathlib/001038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001038",
   "batch_fingerprint": "b031611ce14c627998caa21aa6c9bb4fcd939ea1c7c508a28ae7aa5889e28bc6",
   "evidence": {
@@ -2202,22 +2201,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001038-0000-4e69f5af69c46db1.parquet",
-      "sha256": "4e69f5af69c46db14b281b197338a1f9c466a909c81a26ea233d7a161a4d9c3c",
-      "bytes": 172335,
-      "rows": 94,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001038-0000-1e370692d6f3f8ee.parquet",
-      "sha256": "1e370692d6f3f8ee220fd203d244534e4bfed93c78040abd28cd32665c48283e",
-      "bytes": 49015,
-      "rows": 3,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PNat.Coprime.factor_eq_gcd_left",
     "mathlib:PNat.Coprime.factor_eq_gcd_left_right",
@@ -2289,5 +2273,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Xgcd.lean\",null,null,\"PNat.XgcdType.v_eq_succ_vp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Xgcd.lean\",null,null,\"PNat.gcdA'_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/PNat/Xgcd.lean\",null,null,\"PNat.gcdB'_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172335,
+      "path": "data/train/p55/mathlib-001038-0000-4e69f5af69c46db1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "4e69f5af69c46db14b281b197338a1f9c466a909c81a26ea233d7a161a4d9c3c"
+    },
+    {
+      "bytes": 49015,
+      "path": "data/internal_test/p55/mathlib-001038-0000-1e370692d6f3f8ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1e370692d6f3f8ee220fd203d244534e4bfed93c78040abd28cd32665c48283e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001039.json b/manifests/batches/mathlib/001039.json
index ddc0f5bf5d4bae10ae8af0086d3327dacccf4f82..704e92f641acf9d523da877b480715406b8a2e98 100644
--- a/manifests/batches/mathlib/001039.json
+++ b/manifests/batches/mathlib/001039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001039",
   "batch_fingerprint": "6bd1a43566cadab4142c68189a220f4fec326793b00bcf68754756c82c2d1558",
   "evidence": {
@@ -2692,29 +2691,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001039-0000-ace0a65cd7a4ab64.parquet",
-      "sha256": "ace0a65cd7a4ab647a4a68b13bc92a9e13193fc515b0d47edee9f693fbd32512",
-      "bytes": 137342,
-      "rows": 49,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/mathlib-001039-0000-fc1f7522e3e858da.parquet",
-      "sha256": "fc1f7522e3e858daabb4c1a6dbd49edd43df03d75118eeca0a4d6c3515b105ae",
-      "bytes": 44404,
-      "rows": 4,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/mathlib-001039-0000-20e9fc947acf86a8.parquet",
-      "sha256": "20e9fc947acf86a84f099f239f6f0b58e2be06b1506779c8b47bb5a15de85779",
-      "bytes": 43959,
-      "rows": 11,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Part.Dom.bind",
     "mathlib:Part.append_get_eq",
@@ -2800,5 +2777,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Pi/Interval.lean\",null,null,\"Pi.card_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Pi/Interval.lean\",null,null,\"Pi.card_Ioi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Pi/Interval.lean\",null,null,\"Pi.card_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137342,
+      "path": "data/train/p35/mathlib-001039-0000-ace0a65cd7a4ab64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "ace0a65cd7a4ab647a4a68b13bc92a9e13193fc515b0d47edee9f693fbd32512"
+    },
+    {
+      "bytes": 44404,
+      "path": "data/dev/p35/mathlib-001039-0000-fc1f7522e3e858da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fc1f7522e3e858daabb4c1a6dbd49edd43df03d75118eeca0a4d6c3515b105ae"
+    },
+    {
+      "bytes": 43959,
+      "path": "data/internal_test/p35/mathlib-001039-0000-20e9fc947acf86a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "20e9fc947acf86a84f099f239f6f0b58e2be06b1506779c8b47bb5a15de85779"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001040.json b/manifests/batches/mathlib/001040.json
index 757f2ffa5b0c9a28ed2f9baabe75f49d8a9c75a5..53086997646f881e597ed59efdc50a8eb4ee0288 100644
--- a/manifests/batches/mathlib/001040.json
+++ b/manifests/batches/mathlib/001040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001040",
   "batch_fingerprint": "040e0f2af487a3cc08c188fce8c7ce3a687fbffec630913ff86dda90a8b80ad5",
   "evidence": {
@@ -1455,29 +1454,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001040-0000-bac0cef2d6cd921a.parquet",
-      "sha256": "bac0cef2d6cd921ae2b0b2ca5bc540108564a35088f2442c5ce35b5617686c8e",
-      "bytes": 56333,
-      "rows": 8,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001040-0000-0b4f21b528d039e0.parquet",
-      "sha256": "0b4f21b528d039e002459b2005ac69de3cd7f6f4cc0daa616ee42e7b634a64da",
-      "bytes": 44280,
-      "rows": 2,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001040-0000-99a7ad65aa7433f2.parquet",
-      "sha256": "99a7ad65aa7433f242751465cb80635a50b582e7710327a3aa95ca09085875c6",
-      "bytes": 29119,
-      "rows": 1,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.LeftInverse.prodMap",
     "mathlib:Prod.eq_iff_fst_eq_snd_eq",
@@ -1495,5 +1472,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/Basic.lean\",null,null,\"Prod.mk.inj_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/Basic.lean\",null,null,\"Prod.mk.inj_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/Basic.lean\",null,null,\"Prod.snd_eq_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56333,
+      "path": "data/train/p46/mathlib-001040-0000-bac0cef2d6cd921a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bac0cef2d6cd921ae2b0b2ca5bc540108564a35088f2442c5ce35b5617686c8e"
+    },
+    {
+      "bytes": 44280,
+      "path": "data/dev/p46/mathlib-001040-0000-0b4f21b528d039e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0b4f21b528d039e002459b2005ac69de3cd7f6f4cc0daa616ee42e7b634a64da"
+    },
+    {
+      "bytes": 29119,
+      "path": "data/internal_test/p46/mathlib-001040-0000-99a7ad65aa7433f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "99a7ad65aa7433f242751465cb80635a50b582e7710327a3aa95ca09085875c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001041.json b/manifests/batches/mathlib/001041.json
index 111943a4acb317854a9f62a76de370fde4334e8a..97a2e7690cf8b0a7fca13f3021c0ee3cfccd2777 100644
--- a/manifests/batches/mathlib/001041.json
+++ b/manifests/batches/mathlib/001041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001041",
   "batch_fingerprint": "9bdc8045c68889a46a40210904fe844b489fc5e7e7b2399e15bcad454c2634db",
   "evidence": {
@@ -498,15 +497,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001041-0000-bbaa19b6651c37f2.parquet",
-      "sha256": "bbaa19b6651c37f25c585fff690939aa2d17bce1a24132376adcf05d91c9de07",
-      "bytes": 45216,
-      "rows": 6,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.TProd.elim_of_mem",
     "mathlib:List.TProd.elim_of_ne",
@@ -518,5 +509,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/TProd.lean\",null,null,\"List.TProd.elim_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/TProd.lean\",null,null,\"List.TProd.elim_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Prod/TProd.lean\",null,null,\"List.TProd.mk_elim\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45216,
+      "path": "data/train/pb0/mathlib-001041-0000-bbaa19b6651c37f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bbaa19b6651c37f25c585fff690939aa2d17bce1a24132376adcf05d91c9de07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001042.json b/manifests/batches/mathlib/001042.json
index 03588603f1550bcc0b3206ea083fc13952547791..080844cd069ed4e19c885787a49566811719b160 100644
--- a/manifests/batches/mathlib/001042.json
+++ b/manifests/batches/mathlib/001042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001042",
   "batch_fingerprint": "9e4ed58d12ad978cc3ca7b8a0b6841251daedaa8c50aff2728e47689e2590c21",
   "evidence": {
@@ -2031,22 +2030,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001042-0000-bf644d3fc1c171f3.parquet",
-      "sha256": "bf644d3fc1c171f3cfca54ddfb6e71a6ee4c32cc80f0dfdc3f2b386eba9a517d",
-      "bytes": 198300,
-      "rows": 64,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001042-0000-b6f037ed31e7ae58.parquet",
-      "sha256": "b6f037ed31e7ae58076551dc0b2b9f593e5f05c4a8132d82d291d3d98b1e9922",
-      "bytes": 36602,
-      "rows": 2,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvQPF.Cofix.abs_repr",
     "mathlib:MvQPF.Cofix.bisim\u2082",
@@ -2084,5 +2068,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Multivariate/Constructions/Cofix.lean\",null,null,\"MvQPF.corec_roll\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Multivariate/Constructions/Cofix.lean\",null,null,\"MvQPF.liftR_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Multivariate/Constructions/Cofix.lean\",null,null,\"MvQPF.liftR_map_last'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198300,
+      "path": "data/train/p09/mathlib-001042-0000-bf644d3fc1c171f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "bf644d3fc1c171f3cfca54ddfb6e71a6ee4c32cc80f0dfdc3f2b386eba9a517d"
+    },
+    {
+      "bytes": 36602,
+      "path": "data/internal_test/p09/mathlib-001042-0000-b6f037ed31e7ae58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b6f037ed31e7ae58076551dc0b2b9f593e5f05c4a8132d82d291d3d98b1e9922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001043.json b/manifests/batches/mathlib/001043.json
index bc7a3ddcda8a9ecda6b098ace33a96ce5127ca40..911e6ab1edff9b973214d67c4b94909969e16df8 100644
--- a/manifests/batches/mathlib/001043.json
+++ b/manifests/batches/mathlib/001043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001043",
   "batch_fingerprint": "a22ae11089667dda82a6fef4c810391d12c81a41c1b08ead2673060b7c395762",
   "evidence": {
@@ -173,7 +172,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001044.json b/manifests/batches/mathlib/001044.json
index 0ee2fc5b025a8532668376cfb666f9a394178a3a..23fbc8564bcdfe17e7b7fb70b3cf057d1e934aca 100644
--- a/manifests/batches/mathlib/001044.json
+++ b/manifests/batches/mathlib/001044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001044",
   "batch_fingerprint": "05d1fe613ea474b92752f68ba6377692067c58feedaf79c49a118c093af46f97",
   "evidence": {
@@ -3115,29 +3114,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001044-0000-07a597c2f9bb734d.parquet",
-      "sha256": "07a597c2f9bb734df0d9e73e8dea409668baa5c830bf121b1ec2f01a003b11a7",
-      "bytes": 257037,
-      "rows": 85,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001044-0000-b9beab04ed678086.parquet",
-      "sha256": "b9beab04ed678086f0162b9f1214363992d884b7795f79fde43f3b5b7ccc6ff5",
-      "bytes": 41704,
-      "rows": 5,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001044-0000-be32ffe7081117b7.parquet",
-      "sha256": "be32ffe7081117b70290ee34898bc84a7ef93a55a04fc604a64d3aa0171d607f",
-      "bytes": 35589,
-      "rows": 2,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvQPF.Fix.mk_dest",
     "mathlib:MvQPF.recF_eq",
@@ -3183,5 +3160,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Univariate/Basic.lean\",null,null,\"QPF.recF_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Univariate/Basic.lean\",null,null,\"QPF.supp_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/QPF/Univariate/Basic.lean\",null,null,\"QPF.supp_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257037,
+      "path": "data/train/p34/mathlib-001044-0000-07a597c2f9bb734d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "07a597c2f9bb734df0d9e73e8dea409668baa5c830bf121b1ec2f01a003b11a7"
+    },
+    {
+      "bytes": 41704,
+      "path": "data/dev/p34/mathlib-001044-0000-b9beab04ed678086.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b9beab04ed678086f0162b9f1214363992d884b7795f79fde43f3b5b7ccc6ff5"
+    },
+    {
+      "bytes": 35589,
+      "path": "data/internal_test/p34/mathlib-001044-0000-be32ffe7081117b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "be32ffe7081117b70290ee34898bc84a7ef93a55a04fc604a64d3aa0171d607f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001045.json b/manifests/batches/mathlib/001045.json
index 6dbcd4fa3123d624150f235991a2d9af7c8df1a7..9d71194e11415a5d494b09c02c10d43add20452b 100644
--- a/manifests/batches/mathlib/001045.json
+++ b/manifests/batches/mathlib/001045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001045",
   "batch_fingerprint": "9e7fd90d4aee0ccc4e090fa0dd8347542db7518bdedb098ee7415b83f2b08d3a",
   "evidence": {
@@ -1596,22 +1595,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001045-0000-e15e39c54f645978.parquet",
-      "sha256": "e15e39c54f64597815ee17f06e76ef7fb41defbd8297e89c625885cbcd2128f5",
-      "bytes": 49227,
-      "rows": 6,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001045-0000-067fdc31bf55cb6f.parquet",
-      "sha256": "067fdc31bf55cb6fb7dd5a99f28f88ee967dc5decf6cb74fc67028ab4067d521",
-      "bytes": 38857,
-      "rows": 4,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quotient.eq_mk_iff_out",
     "mathlib:Quotient.induction_on_pi",
@@ -1625,5 +1609,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Quot.lean\",null,null,\"Quotient.mk_eq_iff_out\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Quot.lean\",null,null,\"Quotient.out_equiv_out\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Quot.lean\",null,null,\"Setoid.ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49227,
+      "path": "data/train/p7c/mathlib-001045-0000-e15e39c54f645978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e15e39c54f64597815ee17f06e76ef7fb41defbd8297e89c625885cbcd2128f5"
+    },
+    {
+      "bytes": 38857,
+      "path": "data/dev/p7c/mathlib-001045-0000-067fdc31bf55cb6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "067fdc31bf55cb6fb7dd5a99f28f88ee967dc5decf6cb74fc67028ab4067d521"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001046.json b/manifests/batches/mathlib/001046.json
index 9589b134022579b8c33a0fa56ed15987eef4ba7c..25ff1dceaf354b159d28cbc81270c95f7e1783ff 100644
--- a/manifests/batches/mathlib/001046.json
+++ b/manifests/batches/mathlib/001046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001046",
   "batch_fingerprint": "47cbb6a0f8be7bd140d3af2a8c8a952045c0faac7bc5c6b2631305b033eb5dcf",
   "evidence": {
@@ -1280,22 +1279,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001046-0000-dbbfc2993727ba14.parquet",
-      "sha256": "dbbfc2993727ba14d3d325eb20a4a8534e8abe462d3079e6de3e9b09540031bd",
-      "bytes": 75405,
-      "rows": 23,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001046-0000-84305cfb212951d7.parquet",
-      "sha256": "84305cfb212951d7f70f7b77b324b0afa1f95297dcdb671ebcda67e0e983fdb7",
-      "bytes": 49197,
-      "rows": 5,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidWithZeroHom.ext_rat'",
     "mathlib:NNRat.cast_commute",
@@ -1339,5 +1323,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Defs.lean\",null,null,\"eq_ratCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Defs.lean\",null,null,\"map_nnratCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Defs.lean\",null,null,\"map_ratCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75405,
+      "path": "data/train/peb/mathlib-001046-0000-dbbfc2993727ba14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "dbbfc2993727ba14d3d325eb20a4a8534e8abe462d3079e6de3e9b09540031bd"
+    },
+    {
+      "bytes": 49197,
+      "path": "data/dev/peb/mathlib-001046-0000-84305cfb212951d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "84305cfb212951d7f70f7b77b324b0afa1f95297dcdb671ebcda67e0e983fdb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001047.json b/manifests/batches/mathlib/001047.json
index d83ef92a8840cdd66b4760b632746ed4c57af360..f11c4bd847a0d4a75167332003cbdd931fe0a74e 100644
--- a/manifests/batches/mathlib/001047.json
+++ b/manifests/batches/mathlib/001047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001047",
   "batch_fingerprint": "4007b5b341ed8211b4fcea237a2243b2e172dd019bfb7d50a1918e60b256777d",
   "evidence": {
@@ -1022,29 +1021,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001047-0000-68ef79c589a18bb9.parquet",
-      "sha256": "68ef79c589a18bb961b061f714568a619c1bf67bb8435ce5e3d0c3f1e733b8a8",
-      "bytes": 51481,
-      "rows": 11,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001047-0000-179a7dc1b24dfe75.parquet",
-      "sha256": "179a7dc1b24dfe75966842e3f7d85c410c6ccbce55a17c914ad909b76644d8f2",
-      "bytes": 26435,
-      "rows": 1,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001047-0000-85528c007fc68197.parquet",
-      "sha256": "85528c007fc6819778f07cea14fa6f2447b8efcf31d56c554125684228d826ce",
-      "bytes": 26096,
-      "rows": 1,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNRat.cast_lt_zero",
     "mathlib:NNRat.cast_nonpos",
@@ -1072,5 +1049,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Order.lean\",null,null,\"Rat.cast_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Order.lean\",null,null,\"Rat.cast_pos_of_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Cast/Order.lean\",null,null,\"Rat.cast_strictMono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51481,
+      "path": "data/train/p41/mathlib-001047-0000-68ef79c589a18bb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "68ef79c589a18bb961b061f714568a619c1bf67bb8435ce5e3d0c3f1e733b8a8"
+    },
+    {
+      "bytes": 26435,
+      "path": "data/dev/p41/mathlib-001047-0000-179a7dc1b24dfe75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "179a7dc1b24dfe75966842e3f7d85c410c6ccbce55a17c914ad909b76644d8f2"
+    },
+    {
+      "bytes": 26096,
+      "path": "data/internal_test/p41/mathlib-001047-0000-85528c007fc68197.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "85528c007fc6819778f07cea14fa6f2447b8efcf31d56c554125684228d826ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001048.json b/manifests/batches/mathlib/001048.json
index 11cdba97fd55c331cc06fbde34aa0e71474627b4..da94d98106105ee77a256bd31ddb3bd915522fd0 100644
--- a/manifests/batches/mathlib/001048.json
+++ b/manifests/batches/mathlib/001048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001048",
   "batch_fingerprint": "817ff0162f56e753db3a9633a4ac9a0c7d902403c210d9b2f224987c561ad618",
   "evidence": {
@@ -1359,29 +1358,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001048-0000-e762461fd0b9168f.parquet",
-      "sha256": "e762461fd0b9168f454c308d29b112faeaa0e228abf728130b4685efbc749d2d",
-      "bytes": 144619,
-      "rows": 59,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001048-0000-f8aacdaa84c4d6b2.parquet",
-      "sha256": "f8aacdaa84c4d6b2e8c582e5cf6413ce7f57f86d53efb8b9e753c67adeffe13e",
-      "bytes": 30699,
-      "rows": 1,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001048-0000-65a9ed28f79fe06e.parquet",
-      "sha256": "65a9ed28f79fe06e4acf78519df2fbb5eacfeaa12583d5934015a26693efea8b",
-      "bytes": 38252,
-      "rows": 2,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.mkRat",
     "mathlib:Rat.add_assoc",
@@ -1461,5 +1438,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Defs.lean\",null,null,\"Rat.zero_ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Defs.lean\",null,null,\"Rat.zero_of_num_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Denumerable.lean\",null,null,\"Cardinal.mkRat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144619,
+      "path": "data/train/p53/mathlib-001048-0000-e762461fd0b9168f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "e762461fd0b9168f454c308d29b112faeaa0e228abf728130b4685efbc749d2d"
+    },
+    {
+      "bytes": 30699,
+      "path": "data/dev/p53/mathlib-001048-0000-f8aacdaa84c4d6b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f8aacdaa84c4d6b2e8c582e5cf6413ce7f57f86d53efb8b9e753c67adeffe13e"
+    },
+    {
+      "bytes": 38252,
+      "path": "data/internal_test/p53/mathlib-001048-0000-65a9ed28f79fe06e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "65a9ed28f79fe06e4acf78519df2fbb5eacfeaa12583d5934015a26693efea8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001049.json b/manifests/batches/mathlib/001049.json
index 3d39f52933f949f7ee96bba3ae0f285ce400065a..db37b2d8934d2d42a81a071e79b3fbdb30d13aab 100644
--- a/manifests/batches/mathlib/001049.json
+++ b/manifests/batches/mathlib/001049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001049",
   "batch_fingerprint": "88abb9eb3a69d4f5651c04b78cc9b54af8d24728c620ad8ce25d843df051ac4d",
   "evidence": {
@@ -957,22 +956,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001049-0000-0ab0766a6f8118b3.parquet",
-      "sha256": "0ab0766a6f8118b30b50fa9580078b80025d26e168bf102cafab2e97d4afa626",
-      "bytes": 65864,
-      "rows": 11,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/mathlib-001049-0000-1b4d5391b42b12fc.parquet",
-      "sha256": "1b4d5391b42b12fc695d0f5f340c215f54042e38ff188aefa2619defe9b47ede",
-      "bytes": 37413,
-      "rows": 1,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.mod_nat_eq_sub_mul_floor_rat_div",
     "mathlib:Nat.coprime_sub_mul_floor_rat_div_of_coprime",
@@ -986,5 +970,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Floor.lean\",null,null,\"Rat.cast_fract\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Floor.lean\",null,null,\"Rat.ceil_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Floor.lean\",null,null,\"Rat.le_floor\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65864,
+      "path": "data/train/pfb/mathlib-001049-0000-0ab0766a6f8118b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0ab0766a6f8118b30b50fa9580078b80025d26e168bf102cafab2e97d4afa626"
+    },
+    {
+      "bytes": 37413,
+      "path": "data/dev/pfb/mathlib-001049-0000-1b4d5391b42b12fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1b4d5391b42b12fc695d0f5f340c215f54042e38ff188aefa2619defe9b47ede"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001050.json b/manifests/batches/mathlib/001050.json
index 3423cba093c8190da2b575ccd79f95ab1d2f2113..54a3d738442fd642b48fd92caa31a99b13987bcf 100644
--- a/manifests/batches/mathlib/001050.json
+++ b/manifests/batches/mathlib/001050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001050",
   "batch_fingerprint": "4222b599914cb493df782b65717e7f58dff0c2c7bfadee536670d041416c8cae",
   "evidence": {
@@ -1307,22 +1306,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001050-0000-ebd9ee2ff63cf383.parquet",
-      "sha256": "ebd9ee2ff63cf38392bbeb20b4939d5902489996a956287194751459655ba21e",
-      "bytes": 152991,
-      "rows": 54,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/mathlib-001050-0000-c00c5fb6e632a037.parquet",
-      "sha256": "c00c5fb6e632a03762bd7568916f86e519bd7758f8338ea4296e510019d55429",
-      "bytes": 51742,
-      "rows": 7,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Rat.add_den_dvd",
     "mathlib:Rat.add_num_den",
@@ -1380,5 +1364,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Sqrt.lean\",null,null,\"Rat.sqrt_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Sqrt.lean\",null,null,\"Rat.sqrt_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Rat/Sqrt.lean\",null,null,\"Rat.sqrt_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152991,
+      "path": "data/train/pf1/mathlib-001050-0000-ebd9ee2ff63cf383.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "ebd9ee2ff63cf38392bbeb20b4939d5902489996a956287194751459655ba21e"
+    },
+    {
+      "bytes": 51742,
+      "path": "data/internal_test/pf1/mathlib-001050-0000-c00c5fb6e632a037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c00c5fb6e632a03762bd7568916f86e519bd7758f8338ea4296e510019d55429"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001051.json b/manifests/batches/mathlib/001051.json
index 46a4003c37a4cb36af58a29e180c9925f1d76b53..3be2755f346d9bd3acbd10dc35305d4d1cddaae3 100644
--- a/manifests/batches/mathlib/001051.json
+++ b/manifests/batches/mathlib/001051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001051",
   "batch_fingerprint": "e897b28abc0d8e7949f38fcc7b237ce824c3c44f5b520f886fc223b8e790144e",
   "evidence": {
@@ -1630,22 +1629,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001051-0000-9999e7ebed9b28b4.parquet",
-      "sha256": "9999e7ebed9b28b428bb86818b508d0a40849b0b77647fc9f36992b62527e2f6",
-      "bytes": 66719,
-      "rows": 28,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001051-0000-071914eac1b344e8.parquet",
-      "sha256": "071914eac1b344e8df769a3338d92cb0a425fa36896b32537b61cf95e6b88258",
-      "bytes": 38289,
-      "rows": 4,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNRat.addSubmonoid_closure_range_mul_self",
     "mathlib:Rat.addSubmonoid_closure_range_mul_self",
@@ -1679,5 +1663,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Archimedean.lean\",null,null,\"Real.sInf_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Archimedean.lean\",null,null,\"Real.sSup_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Archimedean.lean\",null,null,\"Real.sSup_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66719,
+      "path": "data/train/p3c/mathlib-001051-0000-9999e7ebed9b28b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "9999e7ebed9b28b428bb86818b508d0a40849b0b77647fc9f36992b62527e2f6"
+    },
+    {
+      "bytes": 38289,
+      "path": "data/internal_test/p3c/mathlib-001051-0000-071914eac1b344e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "071914eac1b344e8df769a3338d92cb0a425fa36896b32537b61cf95e6b88258"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001052.json b/manifests/batches/mathlib/001052.json
index c395d427ef2df0a61b5c3570584131abed7c8e34..0ed4c1ae03fda63bac559d5ba28ba31166037933 100644
--- a/manifests/batches/mathlib/001052.json
+++ b/manifests/batches/mathlib/001052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001052",
   "batch_fingerprint": "d5b3567d5156d7f5e54cdf40cd1dce3bd3f76de89e2b4ade728c041dc88eaade",
   "evidence": {
@@ -2763,29 +2762,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001052-0000-9a1449ae7a06ecc4.parquet",
-      "sha256": "9a1449ae7a06ecc46a98ff8b045ab38e12980c0f0cccbb290d25bf04f712f6f7",
-      "bytes": 53893,
-      "rows": 13,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001052-0000-c5bd0d63bea5aaf1.parquet",
-      "sha256": "c5bd0d63bea5aaf15cb305fa049d00deb4deeb61d9b5e74f205f1a638fd08cd4",
-      "bytes": 53005,
-      "rows": 3,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001052-0000-099e2de43c45b99c.parquet",
-      "sha256": "099e2de43c45b99cd1796a9c978f1db531cc1c54305303af118ec078539c7ab9",
-      "bytes": 45013,
-      "rows": 9,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.cantorFunctionAux_eq",
     "mathlib:Cardinal.cantorFunctionAux_false",
@@ -2811,5 +2788,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Cardinality.lean\",null,null,\"Cardinal.mk_univ_real\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Cardinality.lean\",null,null,\"Cardinal.not_countable_real\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Cardinality.lean\",null,null,\"Cardinal.summable_cantor_function\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53893,
+      "path": "data/train/p7d/mathlib-001052-0000-9a1449ae7a06ecc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9a1449ae7a06ecc46a98ff8b045ab38e12980c0f0cccbb290d25bf04f712f6f7"
+    },
+    {
+      "bytes": 53005,
+      "path": "data/dev/p7d/mathlib-001052-0000-c5bd0d63bea5aaf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c5bd0d63bea5aaf15cb305fa049d00deb4deeb61d9b5e74f205f1a638fd08cd4"
+    },
+    {
+      "bytes": 45013,
+      "path": "data/internal_test/p7d/mathlib-001052-0000-099e2de43c45b99c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "099e2de43c45b99cd1796a9c978f1db531cc1c54305303af118ec078539c7ab9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001053.json b/manifests/batches/mathlib/001053.json
index f5c073f8fbee8e949b34a7428cae2c17248e3f5e..c5a90874f35fa2acd76421fb53c4878ddf95c8c6 100644
--- a/manifests/batches/mathlib/001053.json
+++ b/manifests/batches/mathlib/001053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001053",
   "batch_fingerprint": "e4b4f3a59dfa474f196d2a828669da0c6fb761d3d728e67bba08cd8e54c512bc",
   "evidence": {
@@ -1225,22 +1224,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001053-0000-7ce333d115a780cc.parquet",
-      "sha256": "7ce333d115a780cc483b0e5bd6f06b8a371c4b636bd549bd87610ab95ec49189",
-      "bytes": 58507,
-      "rows": 16,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001053-0000-bad2fc78b4d11b5f.parquet",
-      "sha256": "bad2fc78b4d11b5ff335c3eecbc761e348ec133854c92d3796e62f95f00531c5",
-      "bytes": 36981,
-      "rows": 3,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNReal.IsConjExponent.conj_eq",
     "mathlib:NNReal.IsConjExponent.div_conj_eq_sub_one",
@@ -1268,5 +1252,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/ConjExponents.lean\",null,null,\"Real.IsConjExponent.inv_sub_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/ConjExponents.lean\",null,null,\"Real.IsConjExponent.mul_eq_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/ConjExponents.lean\",null,null,\"Real.isConjExponent_one_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58507,
+      "path": "data/train/pbf/mathlib-001053-0000-7ce333d115a780cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7ce333d115a780cc483b0e5bd6f06b8a371c4b636bd549bd87610ab95ec49189"
+    },
+    {
+      "bytes": 36981,
+      "path": "data/internal_test/pbf/mathlib-001053-0000-bad2fc78b4d11b5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bad2fc78b4d11b5ff335c3eecbc761e348ec133854c92d3796e62f95f00531c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001054.json b/manifests/batches/mathlib/001054.json
index b62a60ea25a24f10767ce53769223cc71fd9f9bf..b63cae4477fe6d03e0c407f09e8b63827ce58752 100644
--- a/manifests/batches/mathlib/001054.json
+++ b/manifests/batches/mathlib/001054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001054",
   "batch_fingerprint": "f81be42f10a14434f8ebf5a124e40f8bbd79e158ec741ef94d398ae78c009976",
   "evidence": {
@@ -7056,29 +7055,7 @@
     "validation_rejected_proofs": 17,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001054-0000-29c978965cc6d884.parquet",
-      "sha256": "29c978965cc6d884a0d42ef066ec17313d7ee7a8e0b57370e04ce794bf7df26d",
-      "bytes": 297633,
-      "rows": 142,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001054-0000-ac051a7cfd2f33de.parquet",
-      "sha256": "ac051a7cfd2f33def0c23cac4ff66de561ea7538f67a58bcfa3e4135f7296aa3",
-      "bytes": 50864,
-      "rows": 13,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001054-0000-3073e1ad7fc1d8e6.parquet",
-      "sha256": "3073e1ad7fc1d8e616d35410e8de30dc8c923a287b11ad49c961d1a52934b5dd",
-      "bytes": 66241,
-      "rows": 22,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EReal.abs_mul_sign",
     "mathlib:EReal.abs_neg",
@@ -7242,5 +7219,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/GoldenRatio.lean\",null,null,\"neg_one_lt_goldConj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/GoldenRatio.lean\",null,null,\"one_lt_gold\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/GoldenRatio.lean\",null,null,\"one_sub_gold\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297633,
+      "path": "data/train/pb2/mathlib-001054-0000-29c978965cc6d884.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 142,
+      "sha256": "29c978965cc6d884a0d42ef066ec17313d7ee7a8e0b57370e04ce794bf7df26d"
+    },
+    {
+      "bytes": 50864,
+      "path": "data/dev/pb2/mathlib-001054-0000-ac051a7cfd2f33de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac051a7cfd2f33def0c23cac4ff66de561ea7538f67a58bcfa3e4135f7296aa3"
+    },
+    {
+      "bytes": 66241,
+      "path": "data/internal_test/pb2/mathlib-001054-0000-3073e1ad7fc1d8e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3073e1ad7fc1d8e616d35410e8de30dc8c923a287b11ad49c961d1a52934b5dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001055.json b/manifests/batches/mathlib/001055.json
index 1900d8ca3e3c12f67179934da674f754295e44e6..834c810492dda2cc44a3aa05d1946baaf9993932 100644
--- a/manifests/batches/mathlib/001055.json
+++ b/manifests/batches/mathlib/001055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001055",
   "batch_fingerprint": "35870f8e964930a422c6ae020e999fafc6839e19e710ac06712af264dc53c582",
   "evidence": {
@@ -4739,29 +4738,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001055-0000-ccf7faf0cd2697d7.parquet",
-      "sha256": "ccf7faf0cd2697d71eb68b70e5f49a781c6eb8b6b1aeb12d8473f6a6681ef221",
-      "bytes": 235615,
-      "rows": 96,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001055-0000-107a0314a122de05.parquet",
-      "sha256": "107a0314a122de05685c8f03c887406f38668e807dba5f5738535921439a6164",
-      "bytes": 66089,
-      "rows": 11,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001055-0000-d58f54377f206c9f.parquet",
-      "sha256": "d58f54377f206c9fa606f05888c15bbf4e2a24139810d5c778b623d994341e12",
-      "bytes": 56394,
-      "rows": 10,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Hyperreal.Infinitesimal.add",
     "mathlib:Hyperreal.Infinitesimal.mul",
@@ -4911,5 +4888,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Irrational.lean\",null,null,\"irrational_sqrt_intCast_iff_of_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Irrational.lean\",null,null,\"irrational_sqrt_of_multiplicity_odd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Irrational.lean\",null,null,\"irrational_sqrt_rat_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235615,
+      "path": "data/train/p74/mathlib-001055-0000-ccf7faf0cd2697d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "ccf7faf0cd2697d71eb68b70e5f49a781c6eb8b6b1aeb12d8473f6a6681ef221"
+    },
+    {
+      "bytes": 66089,
+      "path": "data/dev/p74/mathlib-001055-0000-107a0314a122de05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "107a0314a122de05685c8f03c887406f38668e807dba5f5738535921439a6164"
+    },
+    {
+      "bytes": 56394,
+      "path": "data/internal_test/p74/mathlib-001055-0000-d58f54377f206c9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d58f54377f206c9fa606f05888c15bbf4e2a24139810d5c778b623d994341e12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001056.json b/manifests/batches/mathlib/001056.json
index 1db167d6dde3e705276deda7c32bfeb935472a67..d4b6c4c557cd20ce2eff1582c23c6b723f1d4f5b 100644
--- a/manifests/batches/mathlib/001056.json
+++ b/manifests/batches/mathlib/001056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001056",
   "batch_fingerprint": "18541bab1b0953fb32627dc71650f115a1f9f276f3589f8785adf13600900b95",
   "evidence": {
@@ -1066,22 +1065,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001056-0000-79b0e372ef65f0ab.parquet",
-      "sha256": "79b0e372ef65f0ab700dfa3e1d7f327f8754b280b6161421ed840afac6a0ba43",
-      "bytes": 56566,
-      "rows": 21,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001056-0000-0a660ea82e13d878.parquet",
-      "sha256": "0a660ea82e13d8784389d97051d66b11f5989eaa666188f3c525beeb18e6ef75",
-      "bytes": 48169,
-      "rows": 1,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.pi_gt_314",
     "mathlib:Real.pi_gt_31415",
@@ -1103,5 +1087,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pi/Bounds.lean\",null,null,\"Real.pi_lt_315\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pi/Bounds.lean\",null,null,\"Real.sqrtTwoAddSeries_step_down\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pi/Bounds.lean\",null,null,\"Real.sqrtTwoAddSeries_step_up\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56566,
+      "path": "data/train/pd2/mathlib-001056-0000-79b0e372ef65f0ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "79b0e372ef65f0ab700dfa3e1d7f327f8754b280b6161421ed840afac6a0ba43"
+    },
+    {
+      "bytes": 48169,
+      "path": "data/internal_test/pd2/mathlib-001056-0000-0a660ea82e13d878.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0a660ea82e13d8784389d97051d66b11f5989eaa666188f3c525beeb18e6ef75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001057.json b/manifests/batches/mathlib/001057.json
index f057679a3f5839535cf1bba4eae1c0a212d6da5f..4af037e3303399acdbdd12c7d20fe01675e96a53 100644
--- a/manifests/batches/mathlib/001057.json
+++ b/manifests/batches/mathlib/001057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001057",
   "batch_fingerprint": "f583cebc30c14c918f134fdf8e1a0b1c5d3a9bc3b375450979a9b9d5a1b92d3a",
   "evidence": {
@@ -574,15 +573,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001057-0000-31f4528db39717c5.parquet",
-      "sha256": "31f4528db39717c50a1d7b4128cd29473d261c833352f869fcf7823466b20085",
-      "bytes": 55612,
-      "rows": 16,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Real.Wallis.W_eq_integral_sin_pow_div_integral_sin_pow",
     "mathlib:Real.Wallis.W_le",
@@ -600,5 +591,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pointwise.lean\",null,null,\"Real.iInf_mul_of_nonpos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pointwise.lean\",null,null,\"Real.iSup_mul_of_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Pointwise.lean\",null,null,\"Real.iSup_mul_of_nonpos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55612,
+      "path": "data/train/p0d/mathlib-001057-0000-31f4528db39717c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "31f4528db39717c50a1d7b4128cd29473d261c833352f869fcf7823466b20085"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001058.json b/manifests/batches/mathlib/001058.json
index 26a1ddaa0e6834b31e436e81a535002d89aeeab5..9a221672ec2787210307fd8f7c218bcc836632ca 100644
--- a/manifests/batches/mathlib/001058.json
+++ b/manifests/batches/mathlib/001058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001058",
   "batch_fingerprint": "ab11f45dbdd4146b4e35edea3525c7e2611b36b3dcb76db80ed0a027d7755bc2",
   "evidence": {
@@ -1579,29 +1578,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001058-0000-57daf720e4afac86.parquet",
-      "sha256": "57daf720e4afac86357dc1d604199791b8ebe4dc0f2e3c60876995e1184ddc13",
-      "bytes": 117546,
-      "rows": 56,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001058-0000-536beda778a63fa3.parquet",
-      "sha256": "536beda778a63fa33ecc69a4e2b9fb0f06a3888bb7fcf65bd936b59891556863",
-      "bytes": 34939,
-      "rows": 3,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001058-0000-f368ede1ff87ce6a.parquet",
-      "sha256": "f368ede1ff87ce6a65abc1d519d253760ef58d4c70b787750b19edb00b05a668",
-      "bytes": 40647,
-      "rows": 8,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NNReal.mul_self_sqrt",
     "mathlib:NNReal.one_le_sqrt",
@@ -1719,5 +1696,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Sqrt.lean\",null,null,\"Real.sqrt_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Sqrt.lean\",null,null,\"Real.sum_mul_le_sqrt_mul_sqrt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Real/Sqrt.lean\",null,null,\"Real.sum_sqrt_mul_sqrt_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117546,
+      "path": "data/train/pf3/mathlib-001058-0000-57daf720e4afac86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "57daf720e4afac86357dc1d604199791b8ebe4dc0f2e3c60876995e1184ddc13"
+    },
+    {
+      "bytes": 34939,
+      "path": "data/dev/pf3/mathlib-001058-0000-536beda778a63fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "536beda778a63fa33ecc69a4e2b9fb0f06a3888bb7fcf65bd936b59891556863"
+    },
+    {
+      "bytes": 40647,
+      "path": "data/internal_test/pf3/mathlib-001058-0000-f368ede1ff87ce6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f368ede1ff87ce6a65abc1d519d253760ef58d4c70b787750b19edb00b05a668"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001059.json b/manifests/batches/mathlib/001059.json
index afae314bd4054790bba3b825d9bc6b4fb96ecdd2..ac06c1f829636459d1b68ee1914030c99550e48b 100644
--- a/manifests/batches/mathlib/001059.json
+++ b/manifests/batches/mathlib/001059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001059",
   "batch_fingerprint": "804cd7daa5512614e13ac31df6645b40f7f45acb1d00de0ef1160a7ab9868e67",
   "evidence": {
@@ -1459,29 +1458,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001059-0000-8b6f863b7b6a0428.parquet",
-      "sha256": "8b6f863b7b6a0428d7a873f29f9ebbb5a8f8670c75a51c999fbdfb05ca5fcef0",
-      "bytes": 168565,
-      "rows": 68,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001059-0000-3efd9aaa3cea9534.parquet",
-      "sha256": "3efd9aaa3cea95344867a684ee8cbbed74ef625c2c44223f35d322cf30983526",
-      "bytes": 50866,
-      "rows": 9,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001059-0000-8001af5145670ffb.parquet",
-      "sha256": "8001af5145670ffb9157292cbe57ebd457c1f0813fe8af9c56bde7505010556e",
-      "bytes": 50601,
-      "rows": 15,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.graph_inv",
     "mathlib:Function.graph_comp",
@@ -1575,5 +1552,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Semiquot.lean\",null,null,\"Semiquot.liftOn_ofMem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Semiquot.lean\",null,null,\"Semiquot.mem_bind\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Semiquot.lean\",null,null,\"Semiquot.pure_isPure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168565,
+      "path": "data/train/p85/mathlib-001059-0000-8b6f863b7b6a0428.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "8b6f863b7b6a0428d7a873f29f9ebbb5a8f8670c75a51c999fbdfb05ca5fcef0"
+    },
+    {
+      "bytes": 50866,
+      "path": "data/dev/p85/mathlib-001059-0000-3efd9aaa3cea9534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3efd9aaa3cea95344867a684ee8cbbed74ef625c2c44223f35d322cf30983526"
+    },
+    {
+      "bytes": 50601,
+      "path": "data/internal_test/p85/mathlib-001059-0000-8001af5145670ffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8001af5145670ffb9157292cbe57ebd457c1f0813fe8af9c56bde7505010556e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001060.json b/manifests/batches/mathlib/001060.json
index 6e1b505a4a1fd1414e7ba11658ef86a7f0ce9821..b4845af8802eaa2f197226df65fbee59a9bd708e 100644
--- a/manifests/batches/mathlib/001060.json
+++ b/manifests/batches/mathlib/001060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001060",
   "batch_fingerprint": "2d5f4296dbe8d5fb9c2efda390dfdd015ece5b3cb99d6ebbd8bf4c991ab89197",
   "evidence": {
@@ -5670,29 +5669,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001060-0000-1416339f97a51ce8.parquet",
-      "sha256": "1416339f97a51ce86a0ee274f823da1be815781f252a2989c22a287b005e87a2",
-      "bytes": 213116,
-      "rows": 67,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/mathlib-001060-0000-1ea684b6ceeacb3e.parquet",
-      "sha256": "1ea684b6ceeacb3e919d251c55e2a5d064049374902d6ff9bb388b83a37a093a",
-      "bytes": 46565,
-      "rows": 6,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/mathlib-001060-0000-b6f097c8e0407830.parquet",
-      "sha256": "b6f097c8e040783046573e30fb22045f86c2a4d5f229b2af39d4c08fbfadd8e8",
-      "bytes": 60825,
-      "rows": 15,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Computation.LiftRelAux.ret_right",
     "mathlib:Computation.LiftRelAux.swap",
@@ -5766,5 +5743,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/Computation.lean\",null,null,\"Computation.think_bind\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/Parallel.lean\",null,null,\"Computation.mem_parallel\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/Parallel.lean\",null,null,\"Computation.parallel_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213116,
+      "path": "data/train/p17/mathlib-001060-0000-1416339f97a51ce8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "1416339f97a51ce86a0ee274f823da1be815781f252a2989c22a287b005e87a2"
+    },
+    {
+      "bytes": 46565,
+      "path": "data/dev/p17/mathlib-001060-0000-1ea684b6ceeacb3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1ea684b6ceeacb3e919d251c55e2a5d064049374902d6ff9bb388b83a37a093a"
+    },
+    {
+      "bytes": 60825,
+      "path": "data/internal_test/p17/mathlib-001060-0000-b6f097c8e0407830.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b6f097c8e040783046573e30fb22045f86c2a4d5f229b2af39d4c08fbfadd8e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001061.json b/manifests/batches/mathlib/001061.json
index b201b80de3c7c43b6757195618aeb6638354f0e3..22367c8811fa4b4244a79553a22b48f366de80a3 100644
--- a/manifests/batches/mathlib/001061.json
+++ b/manifests/batches/mathlib/001061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001061",
   "batch_fingerprint": "1af792038616f16a6f4db3b82a48e0528eea629e1d5eb82a0dc16f92d2cfa1e5",
   "evidence": {
@@ -9361,29 +9360,7 @@
     "validation_rejected_proofs": 21,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001061-0000-bf5e7ea54c301e58.parquet",
-      "sha256": "bf5e7ea54c301e58acf2f1bea5965cfc41f87440887540ca6fac11fcc4dec968",
-      "bytes": 344987,
-      "rows": 141,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001061-0000-332b3840c8ef1da9.parquet",
-      "sha256": "332b3840c8ef1da930814c018bb261544132b0e6c6fb40990c032b967b61f129",
-      "bytes": 38905,
-      "rows": 1,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001061-0000-1c4066ee3f793544.parquet",
-      "sha256": "1c4066ee3f793544f06525e011ba64540674bb90e22fdabb4e7683aa872cf885",
-      "bytes": 51144,
-      "rows": 12,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Stream'.Seq.coinduction2",
     "mathlib:Stream'.Seq.destruct_cons",
@@ -9539,5 +9516,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/WSeq.lean\",null,null,\"Stream'.WSeq.toList_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/WSeq.lean\",null,null,\"Stream'.WSeq.toList_ofList\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Seq/WSeq.lean\",null,null,\"Stream'.WSeq.toSeq_ofSeq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344987,
+      "path": "data/train/p99/mathlib-001061-0000-bf5e7ea54c301e58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 141,
+      "sha256": "bf5e7ea54c301e58acf2f1bea5965cfc41f87440887540ca6fac11fcc4dec968"
+    },
+    {
+      "bytes": 38905,
+      "path": "data/dev/p99/mathlib-001061-0000-332b3840c8ef1da9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "332b3840c8ef1da930814c018bb261544132b0e6c6fb40990c032b967b61f129"
+    },
+    {
+      "bytes": 51144,
+      "path": "data/internal_test/p99/mathlib-001061-0000-1c4066ee3f793544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1c4066ee3f793544f06525e011ba64540674bb90e22fdabb4e7683aa872cf885"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001062.json b/manifests/batches/mathlib/001062.json
index 79610bd955875553594f7fa06a3500de90b6fa67..6232b98ca1978464c105f2d57476ce07aad25667 100644
--- a/manifests/batches/mathlib/001062.json
+++ b/manifests/batches/mathlib/001062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001062",
   "batch_fingerprint": "0853cec6fd2d0c45deeaf1c12fbebe2dde68360a891980144019cb291ac3fa56",
   "evidence": {
@@ -9689,29 +9688,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001062-0000-c1cfb3145848e912.parquet",
-      "sha256": "c1cfb3145848e912567242ec0625959cf739133261b43bfa079be752eb22a0c6",
-      "bytes": 275017,
-      "rows": 101,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001062-0000-2d8ab9084f82700c.parquet",
-      "sha256": "2d8ab9084f82700ca5928a94213065f86e4bd0c6ab873eb517ef34312ec958da",
-      "bytes": 33994,
-      "rows": 1,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001062-0000-51167d3867df8de2.parquet",
-      "sha256": "51167d3867df8de2c28582e1d7c595ea4e6d6209b16f4e9f7d45bdf4a3950f92",
-      "bytes": 51419,
-      "rows": 10,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Eq.subset",
     "mathlib:Function.Injective.nonempty_apply_iff",
@@ -9879,5 +9856,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Basic.lean\",null,null,\"Set.subset_ite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Basic.lean\",null,null,\"Set.subset_pair_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Basic.lean\",null,null,\"Set.union_empty_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275017,
+      "path": "data/train/p91/mathlib-001062-0000-c1cfb3145848e912.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "c1cfb3145848e912567242ec0625959cf739133261b43bfa079be752eb22a0c6"
+    },
+    {
+      "bytes": 33994,
+      "path": "data/dev/p91/mathlib-001062-0000-2d8ab9084f82700c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2d8ab9084f82700ca5928a94213065f86e4bd0c6ab873eb517ef34312ec958da"
+    },
+    {
+      "bytes": 51419,
+      "path": "data/internal_test/p91/mathlib-001062-0000-51167d3867df8de2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "51167d3867df8de2c28582e1d7c595ea4e6d6209b16f4e9f7d45bdf4a3950f92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001063.json b/manifests/batches/mathlib/001063.json
index 8c1ccc57e50144f8be8ec4618c22f9937b4d725f..6f7872c1f4ee3031def22aadffdf8c4f45bb66ed 100644
--- a/manifests/batches/mathlib/001063.json
+++ b/manifests/batches/mathlib/001063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001063",
   "batch_fingerprint": "38c1997b119c952380a0abb8137a4fc78f9cac51b7d74634ad5ee08c35eb5cdd",
   "evidence": {
@@ -4377,29 +4376,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001063-0000-f549163b1a59497c.parquet",
-      "sha256": "f549163b1a59497c7193cf7155f76e5abab3bb9ffc409f129b34bd6ef0bd96b8",
-      "bytes": 347584,
-      "rows": 138,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001063-0000-d4e14b63b84151ef.parquet",
-      "sha256": "d4e14b63b84151efac319795b3f3cb41581219ab33b86c1d539e7b3c7f37fa64",
-      "bytes": 43419,
-      "rows": 5,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001063-0000-0cf0d940da917106.parquet",
-      "sha256": "0cf0d940da91710682be89a1d313b8d3bb7a36620957ef6472461c9c1e70b275",
-      "bytes": 74639,
-      "rows": 20,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Finite.cast_ncard_eq",
     "mathlib:Set.Finite.encard_eq_coe_toFinset_card",
@@ -4593,5 +4570,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Card.lean\",null,null,\"Set.tsub_encard_le_encard_diff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Card.lean\",null,null,\"Set.two_lt_ncard\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Card.lean\",null,null,\"Set.two_lt_ncard_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347584,
+      "path": "data/train/pb7/mathlib-001063-0000-f549163b1a59497c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 138,
+      "sha256": "f549163b1a59497c7193cf7155f76e5abab3bb9ffc409f129b34bd6ef0bd96b8"
+    },
+    {
+      "bytes": 43419,
+      "path": "data/dev/pb7/mathlib-001063-0000-d4e14b63b84151ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d4e14b63b84151efac319795b3f3cb41581219ab33b86c1d539e7b3c7f37fa64"
+    },
+    {
+      "bytes": 74639,
+      "path": "data/internal_test/pb7/mathlib-001063-0000-0cf0d940da917106.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0cf0d940da91710682be89a1d313b8d3bb7a36620957ef6472461c9c1e70b275"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001064.json b/manifests/batches/mathlib/001064.json
index ccbd468080524cce98685d021a59158e35fe433c..14d6d17f85947497bd28364fb5138a6ba24b05e1 100644
--- a/manifests/batches/mathlib/001064.json
+++ b/manifests/batches/mathlib/001064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001064",
   "batch_fingerprint": "044b55fcfde7a583d56bd14870fc5cda81044281739c35f8bebe1c85a36a6281",
   "evidence": {
@@ -1170,22 +1169,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001064-0000-d33639bf3224ace2.parquet",
-      "sha256": "d33639bf3224ace27ebe3b1ab951b85585323d2965114b12ed793fc54dd65e9b",
-      "bytes": 78357,
-      "rows": 25,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001064-0000-e79c263dcc90f467.parquet",
-      "sha256": "e79c263dcc90f4670da7e2756439ef7292530734972b47ec21ab6b21d2852836",
-      "bytes": 39143,
-      "rows": 3,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Countable.biUnion_iff",
     "mathlib:Set.Countable.exists_eq_range",
@@ -1213,5 +1197,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Countable.lean\",null,null,\"Set.countable_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Countable.lean\",null,null,\"Set.enumerateCountable_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Countable.lean\",null,null,\"Set.subset_range_enumerate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78357,
+      "path": "data/train/p47/mathlib-001064-0000-d33639bf3224ace2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d33639bf3224ace27ebe3b1ab951b85585323d2965114b12ed793fc54dd65e9b"
+    },
+    {
+      "bytes": 39143,
+      "path": "data/internal_test/p47/mathlib-001064-0000-e79c263dcc90f467.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e79c263dcc90f4670da7e2756439ef7292530734972b47ec21ab6b21d2852836"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001065.json b/manifests/batches/mathlib/001065.json
index 0478d3921d8f44bab3e79ea8dcce6a20696f9230..6c83be43ed16ffbea99dc363ba668a6542ad5135 100644
--- a/manifests/batches/mathlib/001065.json
+++ b/manifests/batches/mathlib/001065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001065",
   "batch_fingerprint": "bf5719105f7c3a8b4912aa03a2d3af360a67bce3cfb9e3ca57cd604d14f07872",
   "evidence": {
@@ -1014,28 +1013,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Set.comp_rangeSplitting",
+    "mathlib:Set.mem_univ_pi"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Defs.lean\",null,null,\"Set.comp_rangeSplitting\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Defs.lean\",null,null,\"Set.mem_univ_pi\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001065-0000-f7ea627226ca7570.parquet",
-      "sha256": "f7ea627226ca7570abff13a6e48da44e1ffa3ed127eebd1db8c001433971fc50",
       "bytes": 37923,
+      "path": "data/train/pe8/mathlib-001065-0000-f7ea627226ca7570.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
+      "sha256": "f7ea627226ca7570abff13a6e48da44e1ffa3ed127eebd1db8c001433971fc50"
     },
     {
-      "path": "data/internal_test/mathlib-001065-0000-339724684206eb64.parquet",
-      "sha256": "339724684206eb64e84b40b3cd2f196b397eee4461c562714452a5eac8747d6e",
       "bytes": 28040,
+      "path": "data/internal_test/pe8/mathlib-001065-0000-339724684206eb64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
+      "sha256": "339724684206eb64e84b40b3cd2f196b397eee4461c562714452a5eac8747d6e"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Set.comp_rangeSplitting",
-    "mathlib:Set.mem_univ_pi"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Defs.lean\",null,null,\"Set.comp_rangeSplitting\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Defs.lean\",null,null,\"Set.mem_univ_pi\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001066.json b/manifests/batches/mathlib/001066.json
index 6f68c1f8f88d704c097510f1f685231fb36d1e3c..fdf68bd7b45feb5fbea318199bff9e7ff0c195b0 100644
--- a/manifests/batches/mathlib/001066.json
+++ b/manifests/batches/mathlib/001066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001066",
   "batch_fingerprint": "4670b403856e6e73e95880b739b4e1388b50c43c64819d61c0899e2dc156a111",
   "evidence": {
@@ -4013,29 +4012,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001066-0000-ce5871e2b184c359.parquet",
-      "sha256": "ce5871e2b184c359cc81bc1adacd8a69ab9d5064e368acad1e376050b83b08d8",
-      "bytes": 359603,
-      "rows": 119,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001066-0000-fd1491dc33c38bcb.parquet",
-      "sha256": "fd1491dc33c38bcb5a7f33f9c70daabda9d2fc7e0343a97a88d2e51fbb8ba4b1",
-      "bytes": 63028,
-      "rows": 13,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001066-0000-ddb9ba2bec1109e4.parquet",
-      "sha256": "ddb9ba2bec1109e416c34954dd51acf1907d27b2bdaa1b4760ebfb8e03ee0ad0",
-      "bytes": 81848,
-      "rows": 22,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectedOn.exists_mem_subset_of_finset_subset_biUnion",
     "mathlib:Equiv.set_finite_iff",
@@ -4205,5 +4182,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Finite.lean\",null,null,\"Set.not_injOn_infinite_finite_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Finite.lean\",null,null,\"Set.seq_of_forall_finite_exists\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Finite.lean\",null,null,\"Set.union_finset_finite_of_range_finite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359603,
+      "path": "data/train/pec/mathlib-001066-0000-ce5871e2b184c359.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "ce5871e2b184c359cc81bc1adacd8a69ab9d5064e368acad1e376050b83b08d8"
+    },
+    {
+      "bytes": 63028,
+      "path": "data/dev/pec/mathlib-001066-0000-fd1491dc33c38bcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fd1491dc33c38bcb5a7f33f9c70daabda9d2fc7e0343a97a88d2e51fbb8ba4b1"
+    },
+    {
+      "bytes": 81848,
+      "path": "data/internal_test/pec/mathlib-001066-0000-ddb9ba2bec1109e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ddb9ba2bec1109e416c34954dd51acf1907d27b2bdaa1b4760ebfb8e03ee0ad0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001067.json b/manifests/batches/mathlib/001067.json
index 56be5c6c6f5f44ec9650ea67465255a1b1571f00..1d2887226ff8af0647072c592e3844c412df0080 100644
--- a/manifests/batches/mathlib/001067.json
+++ b/manifests/batches/mathlib/001067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001067",
   "batch_fingerprint": "6da046282ccec21e14c05b9d7f9fd8ca0c9304d1d7fd7c074953e1a4a0942877",
   "evidence": {
@@ -7304,29 +7303,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001067-0000-44ed8a285d285f5f.parquet",
-      "sha256": "44ed8a285d285f5fc0ebd82c1c6d88e2132ce04d8c2aba2bb663a412cff6b3c4",
-      "bytes": 458130,
-      "rows": 133,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001067-0000-724f562fd4b0d175.parquet",
-      "sha256": "724f562fd4b0d175fb1cbaf752d16d249be2a38a27f811e8cae3f9f5922cbf80",
-      "bytes": 52949,
-      "rows": 6,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001067-0000-83268f5677538b2d.parquet",
-      "sha256": "83268f5677538b2d1c6db93eee471e2bc0495bc8414750e33f63fb6cfc4d1666",
-      "bytes": 64424,
-      "rows": 13,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Disjoint.image",
     "mathlib:Equiv.bijOn",
@@ -7498,5 +7475,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Functor.lean\",null,null,\"Set.image_val_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Functor.lean\",null,null,\"Set.mem_of_mem_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Functor.lean\",null,null,\"Set.mem_of_mem_image_val\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 458130,
+      "path": "data/train/p27/mathlib-001067-0000-44ed8a285d285f5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 133,
+      "sha256": "44ed8a285d285f5fc0ebd82c1c6d88e2132ce04d8c2aba2bb663a412cff6b3c4"
+    },
+    {
+      "bytes": 52949,
+      "path": "data/dev/p27/mathlib-001067-0000-724f562fd4b0d175.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "724f562fd4b0d175fb1cbaf752d16d249be2a38a27f811e8cae3f9f5922cbf80"
+    },
+    {
+      "bytes": 64424,
+      "path": "data/internal_test/p27/mathlib-001067-0000-83268f5677538b2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "83268f5677538b2d1c6db93eee471e2bc0495bc8414750e33f63fb6cfc4d1666"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001068.json b/manifests/batches/mathlib/001068.json
index 4587ac45ee9c48fbdb44ecbe81f99bcf17aa5fe4..7976fa4aea0c44d30e5fd0ef7d431f5e77193349 100644
--- a/manifests/batches/mathlib/001068.json
+++ b/manifests/batches/mathlib/001068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001068",
   "batch_fingerprint": "cfb1de31afd8afc13567d831be34844d04516220f8e05a34a142421c364b391e",
   "evidence": {
@@ -10703,29 +10702,7 @@
     "validation_rejected_proofs": 21,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001068-0000-1b8fbca57dde864f.parquet",
-      "sha256": "1b8fbca57dde864ff43463a59948a239c12f813963e1837ea171206519d3f0c5",
-      "bytes": 853342,
-      "rows": 309,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001068-0000-e45ef6bc9b85b763.parquet",
-      "sha256": "e45ef6bc9b85b76314de9efc2a97055b5d3eb2244f9408b0a6786fbe5e189be5",
-      "bytes": 63630,
-      "rows": 18,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001068-0000-e6329d6abc975434.parquet",
-      "sha256": "e6329d6abc9754344240887d0638c721840c38ab456112627cf470a77ce3e132",
-      "bytes": 127730,
-      "rows": 40,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Disjoint.of_preimage",
     "mathlib:Function.Injective.image_injective",
@@ -11217,5 +11194,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Lattice.lean\",null,null,\"iSup_sUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Lattice.lean\",null,null,\"sSup_iUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Lattice.lean\",null,null,\"sSup_sUnion\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 853342,
+      "path": "data/train/pa4/mathlib-001068-0000-1b8fbca57dde864f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 309,
+      "sha256": "1b8fbca57dde864ff43463a59948a239c12f813963e1837ea171206519d3f0c5"
+    },
+    {
+      "bytes": 63630,
+      "path": "data/dev/pa4/mathlib-001068-0000-e45ef6bc9b85b763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e45ef6bc9b85b76314de9efc2a97055b5d3eb2244f9408b0a6786fbe5e189be5"
+    },
+    {
+      "bytes": 127730,
+      "path": "data/internal_test/pa4/mathlib-001068-0000-e6329d6abc975434.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e6329d6abc9754344240887d0638c721840c38ab456112627cf470a77ce3e132"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001069.json b/manifests/batches/mathlib/001069.json
index b8b1fe01396bc408ee9cff41b595cb698cdd7e63..932a15b34b9e7af0b5e9b4202c2798af82d1d5a0 100644
--- a/manifests/batches/mathlib/001069.json
+++ b/manifests/batches/mathlib/001069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001069",
   "batch_fingerprint": "b27fd7085dcf06f9ecee0df2e14e9c2e6c3dac5e6212db8f5d521437d0c9b8dc",
   "evidence": {
@@ -690,15 +689,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001069-0000-8bc1c694b4203217.parquet",
-      "sha256": "8bc1c694b42032171d1e49d21ec038b8bc5d06e187be3cb7921a038d66d80689",
-      "bytes": 59797,
-      "rows": 18,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.range_list_get",
     "mathlib:Set.range_list_get?",
@@ -718,5 +709,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/MemPartition.lean\",null,null,\"memPartitionSet_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/MemPartition.lean\",null,null,\"memPartitionSet_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/MemPartition.lean\",null,null,\"memPartitionSet_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59797,
+      "path": "data/train/p6a/mathlib-001069-0000-8bc1c694b4203217.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8bc1c694b42032171d1e49d21ec038b8bc5d06e187be3cb7921a038d66d80689"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001070.json b/manifests/batches/mathlib/001070.json
index 958d6d74f25954512e950f0ccdd925402595c069..39b4fdceb63083d64286fc0c0bad3d4e1f07e2ab 100644
--- a/manifests/batches/mathlib/001070.json
+++ b/manifests/batches/mathlib/001070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001070",
   "batch_fingerprint": "8c92f6ca8ed2c5c6681db7099d22e6f264314dd47675641755ec0988d730340b",
   "evidence": {
@@ -830,29 +829,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001070-0000-de1a4136aefd9642.parquet",
-      "sha256": "de1a4136aefd9642bbd043bdb5de5a45c6cdf7e16b8e35a8108d17fcb00cbf5f",
-      "bytes": 218008,
-      "rows": 57,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001070-0000-a52f7e2fddb1b2c0.parquet",
-      "sha256": "a52f7e2fddb1b2c0fe9a77989fd3a70425ca2f064176bf8797b4c9c4b1f85623",
-      "bytes": 48319,
-      "rows": 1,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001070-0000-6a2f503310518f04.parquet",
-      "sha256": "6a2f503310518f048b8aea145d75cc350c3d90143016fdcd53618af8e18ccf18",
-      "bytes": 61527,
-      "rows": 6,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Subsingleton.image2",
     "mathlib:Set.image2_assoc",
@@ -948,5 +925,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/NAry.lean\",null,null,\"Set.image_image2_distrib_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/NAry.lean\",null,null,\"Set.image_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/NAry.lean\",null,null,\"Set.mem_image2_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218008,
+      "path": "data/train/p72/mathlib-001070-0000-de1a4136aefd9642.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "de1a4136aefd9642bbd043bdb5de5a45c6cdf7e16b8e35a8108d17fcb00cbf5f"
+    },
+    {
+      "bytes": 48319,
+      "path": "data/dev/p72/mathlib-001070-0000-a52f7e2fddb1b2c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a52f7e2fddb1b2c0fe9a77989fd3a70425ca2f064176bf8797b4c9c4b1f85623"
+    },
+    {
+      "bytes": 61527,
+      "path": "data/internal_test/p72/mathlib-001070-0000-6a2f503310518f04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6a2f503310518f048b8aea145d75cc350c3d90143016fdcd53618af8e18ccf18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001071.json b/manifests/batches/mathlib/001071.json
index c8cc0ceabf47e1b062f0c7fec13ab95d38e1212d..6d5143797c5cbdbc06c2e10e27958e1c1a6b1a96 100644
--- a/manifests/batches/mathlib/001071.json
+++ b/manifests/batches/mathlib/001071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001071",
   "batch_fingerprint": "511d504a48d3071e3cf07428aa78d3da7c6374bd6c49322a9af26442278cacd9",
   "evidence": {
@@ -1693,29 +1692,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001071-0000-8e9da5238f3f36eb.parquet",
-      "sha256": "8e9da5238f3f36ebd89fd243fcf18195a4e467b76e6ad316acc46828e50d85d9",
-      "bytes": 73440,
-      "rows": 19,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/mathlib-001071-0000-6de9f51d2c59c743.parquet",
-      "sha256": "6de9f51d2c59c7439184668f48736ba900d3e05a89c7f15a0e2ba6f864176be7",
-      "bytes": 62013,
-      "rows": 2,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001071-0000-f8c65fca7784d8c7.parquet",
-      "sha256": "f8c65fca7784d8c7eada7e8e5eea6f974a0227996e29ccc1e09d294cb6c3789a",
-      "bytes": 59881,
-      "rows": 6,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.InjOn.pairwise_image",
     "mathlib:Set.PairwiseDisjoint.eq_or_disjoint",
@@ -1757,5 +1734,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pairwise/Basic.lean\",null,null,\"exists_ne_mem_inter_of_not_pairwise_disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pairwise/Basic.lean\",null,null,\"pairwise_on_bool\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pairwise/Basic.lean\",null,null,\"pairwise_subtype_iff_pairwise_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73440,
+      "path": "data/train/p42/mathlib-001071-0000-8e9da5238f3f36eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8e9da5238f3f36ebd89fd243fcf18195a4e467b76e6ad316acc46828e50d85d9"
+    },
+    {
+      "bytes": 62013,
+      "path": "data/dev/p42/mathlib-001071-0000-6de9f51d2c59c743.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6de9f51d2c59c7439184668f48736ba900d3e05a89c7f15a0e2ba6f864176be7"
+    },
+    {
+      "bytes": 59881,
+      "path": "data/internal_test/p42/mathlib-001071-0000-f8c65fca7784d8c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f8c65fca7784d8c7eada7e8e5eea6f974a0227996e29ccc1e09d294cb6c3789a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001072.json b/manifests/batches/mathlib/001072.json
index ce1dc496803c94c7e4947a119b15106cafad061b..93ec44839d63e8e5ff331c5e892b105e23d3c112 100644
--- a/manifests/batches/mathlib/001072.json
+++ b/manifests/batches/mathlib/001072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001072",
   "batch_fingerprint": "95c2f85be9dcfa34a446efdef2cd42ee189c7ac46a10448ee9b44457b6bba1fa",
   "evidence": {
@@ -3526,29 +3525,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001072-0000-46e73147f4f94eff.parquet",
-      "sha256": "46e73147f4f94eff67e69edef6870b854bc89d63b39e7329ff6e10b3d0a7ccf3",
-      "bytes": 151501,
-      "rows": 45,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001072-0000-0e2105393ba6b44e.parquet",
-      "sha256": "0e2105393ba6b44ebc84c8f8bbab893bd473bf220c24d5efee4ea3286a90f925",
-      "bytes": 53092,
-      "rows": 6,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001072-0000-f80bf390933537c4.parquet",
-      "sha256": "f80bf390933537c43c400fcea2336446f256581855bd729e5123a8d9d9618828",
-      "bytes": 44091,
-      "rows": 4,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Nonempty.div_zero",
     "mathlib:Set.Nonempty.mul_zero",
@@ -3632,5 +3609,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Basic.lean\",null,null,\"Set.univ_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Basic.lean\",null,null,\"Set.zero_div_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Basic.lean\",null,null,\"Set.zero_mul_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151501,
+      "path": "data/train/pd0/mathlib-001072-0000-46e73147f4f94eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "46e73147f4f94eff67e69edef6870b854bc89d63b39e7329ff6e10b3d0a7ccf3"
+    },
+    {
+      "bytes": 53092,
+      "path": "data/dev/pd0/mathlib-001072-0000-0e2105393ba6b44e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0e2105393ba6b44ebc84c8f8bbab893bd473bf220c24d5efee4ea3286a90f925"
+    },
+    {
+      "bytes": 44091,
+      "path": "data/internal_test/pd0/mathlib-001072-0000-f80bf390933537c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f80bf390933537c43c400fcea2336446f256581855bd729e5123a8d9d9618828"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001073.json b/manifests/batches/mathlib/001073.json
index f82e86232b166ed983900e953027e3722e1ed21b..06f607bddb566039dc22001bebdcc94d7834b886 100644
--- a/manifests/batches/mathlib/001073.json
+++ b/manifests/batches/mathlib/001073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001073",
   "batch_fingerprint": "1ce66531b44a06c9f5ac3144d627775f4b019923f7b298a0625412182c507f4c",
   "evidence": {
@@ -889,22 +888,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001073-0000-f6338302c2a3d424.parquet",
-      "sha256": "f6338302c2a3d424b44a13220bacf941c19cda433270c038ade64e1c13f3c05c",
-      "bytes": 76162,
-      "rows": 11,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001073-0000-275f878d6ba567c6.parquet",
-      "sha256": "275f878d6ba567c68cd176f956b018eb50e2d04bed59f7dd52d29492ad78080e",
-      "bytes": 53108,
-      "rows": 2,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.image_finset_prod_pi",
     "mathlib:Set.image_fintype_prod_pi",
@@ -922,5 +906,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/BigOperators.lean\",null,null,\"Set.mem_fintype_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/BigOperators.lean\",null,null,\"Set.multiset_prod_mem_multiset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/BigOperators.lean\",null,null,\"Set.multiset_prod_subset_multiset_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76162,
+      "path": "data/train/p45/mathlib-001073-0000-f6338302c2a3d424.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f6338302c2a3d424b44a13220bacf941c19cda433270c038ade64e1c13f3c05c"
+    },
+    {
+      "bytes": 53108,
+      "path": "data/dev/p45/mathlib-001073-0000-275f878d6ba567c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "275f878d6ba567c68cd176f956b018eb50e2d04bed59f7dd52d29492ad78080e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001074.json b/manifests/batches/mathlib/001074.json
index 4bc1e6402314b3e133337250d72eab8633827747..5fea1b250e41677be92c007ecc04079c86a8c403 100644
--- a/manifests/batches/mathlib/001074.json
+++ b/manifests/batches/mathlib/001074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001074",
   "batch_fingerprint": "ccdceac031b620c3e858782f9acfb6690b0cdc0450706a24a80995b5d293bbfa",
   "evidence": {
@@ -1042,29 +1041,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001074-0000-d0f011ae8e56a2d4.parquet",
-      "sha256": "d0f011ae8e56a2d44e3c9f560aba61cbe43a4ec6ac582a2b25da361ad3e5bd78",
-      "bytes": 282631,
-      "rows": 119,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001074-0000-f06bceecde44c98c.parquet",
-      "sha256": "f06bceecde44c98cb50d870e70823391cdfadeb64d8b4d00ea747cbc0f90580f",
-      "bytes": 44564,
-      "rows": 7,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001074-0000-6bb91bf11c8e984e.parquet",
-      "sha256": "6bb91bf11c8e984eae25d4c7a5c6e4d606a3d831c592803e8ae2a27980468ef8",
-      "bytes": 69244,
-      "rows": 14,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Icc_mul_Icc_subset'",
     "mathlib:Set.Icc_mul_Ico_subset'",
@@ -1274,5 +1251,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Interval.lean\",null,null,\"Set.preimage_sub_const_Ioi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Interval.lean\",null,null,\"Set.preimage_sub_const_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/Interval.lean\",null,null,\"Set.preimage_sub_const_uIcc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 282631,
+      "path": "data/train/pdf/mathlib-001074-0000-d0f011ae8e56a2d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "d0f011ae8e56a2d44e3c9f560aba61cbe43a4ec6ac582a2b25da361ad3e5bd78"
+    },
+    {
+      "bytes": 44564,
+      "path": "data/dev/pdf/mathlib-001074-0000-f06bceecde44c98c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f06bceecde44c98cb50d870e70823391cdfadeb64d8b4d00ea747cbc0f90580f"
+    },
+    {
+      "bytes": 69244,
+      "path": "data/internal_test/pdf/mathlib-001074-0000-6bb91bf11c8e984e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6bb91bf11c8e984eae25d4c7a5c6e4d606a3d831c592803e8ae2a27980468ef8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001075.json b/manifests/batches/mathlib/001075.json
index 1678db48d0f72616276483a8fa247f3208423c42..d516937975c53751931cc77bfaef35a46a7f85ac 100644
--- a/manifests/batches/mathlib/001075.json
+++ b/manifests/batches/mathlib/001075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001075",
   "batch_fingerprint": "567c908334f987f81c83883ea0a51e78975ebca4979fa52f9b2403d634bf9934",
   "evidence": {
@@ -3337,29 +3336,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001075-0000-b9c7f7264873adb7.parquet",
-      "sha256": "b9c7f7264873adb7c6504c85ba3f4cf8c5037846f056090b2d1e96124245da25",
-      "bytes": 80689,
-      "rows": 23,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001075-0000-36ac42adfe62469e.parquet",
-      "sha256": "36ac42adfe62469e6eeaf6286a6a344d29f422ea8f7f541a07167c2641fb4778",
-      "bytes": 41722,
-      "rows": 2,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001075-0000-9d4abd87ae8952e3.parquet",
-      "sha256": "9d4abd87ae8952e3f71b8a80c53ae6fc4f5e12b15e8b15673bfdb77f3360d360",
-      "bytes": 58318,
-      "rows": 7,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Nonempty.smul_zero",
     "mathlib:Set.Nonempty.zero_smul",
@@ -3407,5 +3384,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/SMul.lean\",null,null,\"Set.zero_mem_smul_set_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/SMul.lean\",null,null,\"Set.zero_smul_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Pointwise/SMul.lean\",null,null,\"Set.zero_smul_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80689,
+      "path": "data/train/p3c/mathlib-001075-0000-b9c7f7264873adb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b9c7f7264873adb7c6504c85ba3f4cf8c5037846f056090b2d1e96124245da25"
+    },
+    {
+      "bytes": 41722,
+      "path": "data/dev/p3c/mathlib-001075-0000-36ac42adfe62469e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36ac42adfe62469e6eeaf6286a6a344d29f422ea8f7f541a07167c2641fb4778"
+    },
+    {
+      "bytes": 58318,
+      "path": "data/internal_test/p3c/mathlib-001075-0000-9d4abd87ae8952e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9d4abd87ae8952e3f71b8a80c53ae6fc4f5e12b15e8b15673bfdb77f3360d360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001076.json b/manifests/batches/mathlib/001076.json
index c3a8cb00828bdc2442b4650cd37566f387c01de1..6259fdca59c9897299a6cede055265c2c5b6af29 100644
--- a/manifests/batches/mathlib/001076.json
+++ b/manifests/batches/mathlib/001076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001076",
   "batch_fingerprint": "567c470e7fa14f38c113553d44175aaff5520b9e71c9142b917795726703dc6c",
   "evidence": {
@@ -2797,29 +2796,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001076-0000-f86f046f01e6c073.parquet",
-      "sha256": "f86f046f01e6c0739b5aef82cef945a444aa2f2b21a0c8d4fc84dcf579d11369",
-      "bytes": 375764,
-      "rows": 126,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001076-0000-cd13e03902dac33e.parquet",
-      "sha256": "cd13e03902dac33ef45128c2f80e400e1d37ed222813a0d390326b1ce9878975",
-      "bytes": 34054,
-      "rows": 1,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001076-0000-571feaeab272e44a.parquet",
-      "sha256": "571feaeab272e44a9c477c6a9087b10026676ebb35dfae3871525d5b03a93e9d",
-      "bytes": 76335,
-      "rows": 18,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.piCongrLeft_preimage_pi",
     "mathlib:Equiv.piCongrLeft_preimage_univ_pi",
@@ -2995,5 +2972,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Prod.lean\",null,null,\"Set.update_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Prod.lean\",null,null,\"preimage_map_fst_pullbackDiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Prod.lean\",null,null,\"range_toPullbackDiag\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375764,
+      "path": "data/train/pb1/mathlib-001076-0000-f86f046f01e6c073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 126,
+      "sha256": "f86f046f01e6c0739b5aef82cef945a444aa2f2b21a0c8d4fc84dcf579d11369"
+    },
+    {
+      "bytes": 34054,
+      "path": "data/dev/pb1/mathlib-001076-0000-cd13e03902dac33e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cd13e03902dac33ef45128c2f80e400e1d37ed222813a0d390326b1ce9878975"
+    },
+    {
+      "bytes": 76335,
+      "path": "data/internal_test/pb1/mathlib-001076-0000-571feaeab272e44a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "571feaeab272e44a9c477c6a9087b10026676ebb35dfae3871525d5b03a93e9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001077.json b/manifests/batches/mathlib/001077.json
index d3902636f69d995e995dbe9ccbb18e3b7987ad40..fcac61e5f9fab609e651b5b74bfe984b8947dc3b 100644
--- a/manifests/batches/mathlib/001077.json
+++ b/manifests/batches/mathlib/001077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001077",
   "batch_fingerprint": "03a9e35cc27a89d0b96020527fba68f153bf935663e7da2a4ff307acaed66c2c",
   "evidence": {
@@ -1445,22 +1444,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001077-0000-6f038a187f459a6f.parquet",
-      "sha256": "6f038a187f459a6ff41436d309d19bb3bbe0f4949d607aada99aa37a65a8a18f",
-      "bytes": 82387,
-      "rows": 21,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001077-0000-70c6855ecbb250a1.parquet",
-      "sha256": "70c6855ecbb250a1720ce7daf78edd672933d046caaed360e04ab30f29a20d3f",
-      "bytes": 44928,
-      "rows": 1,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.image_sigmaMk_preimage_sigmaMap",
     "mathlib:Set.insert_sigma",
@@ -1488,5 +1472,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Sigma.lean\",null,null,\"Set.sigma_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Sigma.lean\",null,null,\"Set.sigma_univ_range_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Sigma.lean\",null,null,\"Set.singleton_sigma_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82387,
+      "path": "data/train/p23/mathlib-001077-0000-6f038a187f459a6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6f038a187f459a6ff41436d309d19bb3bbe0f4949d607aada99aa37a65a8a18f"
+    },
+    {
+      "bytes": 44928,
+      "path": "data/internal_test/p23/mathlib-001077-0000-70c6855ecbb250a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "70c6855ecbb250a1720ce7daf78edd672933d046caaed360e04ab30f29a20d3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001078.json b/manifests/batches/mathlib/001078.json
index 19915fb6af39ea6bbd810f0dce3433d3a86458b3..6e77f4618e81cd55c33becef7a33c3bd27d6755d 100644
--- a/manifests/batches/mathlib/001078.json
+++ b/manifests/batches/mathlib/001078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001078",
   "batch_fingerprint": "a6818151e665de6b56c06a361d972a6e12be4af98703f82b836fe16573dc8568",
   "evidence": {
@@ -1597,29 +1596,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001078-0000-d560758f7bf4011d.parquet",
-      "sha256": "d560758f7bf4011d15ea41bdc8b08439dd63ca09b270b9b0f31e73d3ba75ca4b",
-      "bytes": 74697,
-      "rows": 23,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001078-0000-c397a739e8340521.parquet",
-      "sha256": "c397a739e8340521e1426b4adc21690e0f5ebb8bd755e1d525c94bba56788378",
-      "bytes": 42185,
-      "rows": 3,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001078-0000-dbb58f4bb8cbe377.parquet",
-      "sha256": "dbb58f4bb8cbe37706525bbc61f54e7c85243e44b3ad10825a968604bd505568",
-      "bytes": 48420,
-      "rows": 6,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Nontrivial.exists_ne",
     "mathlib:Set.Nontrivial.ne_singleton",
@@ -1657,5 +1634,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Subsingleton.lean\",null,null,\"Set.not_nontrivial_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Subsingleton.lean\",null,null,\"Set.subsingleton_or_nontrivial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/Subsingleton.lean\",null,null,\"Set.univ_eq_true_false\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74697,
+      "path": "data/train/p61/mathlib-001078-0000-d560758f7bf4011d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d560758f7bf4011d15ea41bdc8b08439dd63ca09b270b9b0f31e73d3ba75ca4b"
+    },
+    {
+      "bytes": 42185,
+      "path": "data/dev/p61/mathlib-001078-0000-c397a739e8340521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c397a739e8340521e1426b4adc21690e0f5ebb8bd755e1d525c94bba56788378"
+    },
+    {
+      "bytes": 48420,
+      "path": "data/internal_test/p61/mathlib-001078-0000-dbb58f4bb8cbe377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dbb58f4bb8cbe37706525bbc61f54e7c85243e44b3ad10825a968604bd505568"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001079.json b/manifests/batches/mathlib/001079.json
index c424a4e3644d122142356cf18b3c64a90dd99157..eff00e50c58a16b806c073e390cc1418b424ba6c 100644
--- a/manifests/batches/mathlib/001079.json
+++ b/manifests/batches/mathlib/001079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001079",
   "batch_fingerprint": "d6a24b290896eb0c5f65023bd526a1b46b1f1035f5b8a177745a5eb7e186f352",
   "evidence": {
@@ -2286,29 +2285,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001079-0000-6e05f7ff6b0cba7b.parquet",
-      "sha256": "6e05f7ff6b0cba7bf9af68044bb8ff0e5de559f9940c94388a83394f4db3a0f4",
-      "bytes": 56835,
-      "rows": 8,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/dev/mathlib-001079-0000-a33df3dc5df64859.parquet",
-      "sha256": "a33df3dc5df64859059b641959b5765892018bb4721f436f2742f4c6a77a10b6",
-      "bytes": 44823,
-      "rows": 2,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001079-0000-453748c2b56bb1b6.parquet",
-      "sha256": "453748c2b56bb1b69634eeb2575cffb1d651fd7ef953b1e5430c7b44c9ddbb7f",
-      "bytes": 72894,
-      "rows": 3,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.iUnionLift_const",
     "mathlib:Set.iUnionLift_of_mem",
@@ -2322,5 +2299,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/UnionLift.lean\",null,null,\"Set.iUnionLift_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/UnionLift.lean\",null,null,\"Set.iUnionLift_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Set/UnionLift.lean\",null,null,\"Set.preimage_liftCover\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56835,
+      "path": "data/train/p8d/mathlib-001079-0000-6e05f7ff6b0cba7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6e05f7ff6b0cba7bf9af68044bb8ff0e5de559f9940c94388a83394f4db3a0f4"
+    },
+    {
+      "bytes": 44823,
+      "path": "data/dev/p8d/mathlib-001079-0000-a33df3dc5df64859.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a33df3dc5df64859059b641959b5765892018bb4721f436f2742f4c6a77a10b6"
+    },
+    {
+      "bytes": 72894,
+      "path": "data/internal_test/p8d/mathlib-001079-0000-453748c2b56bb1b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "453748c2b56bb1b69634eeb2575cffb1d651fd7ef953b1e5430c7b44c9ddbb7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001080.json b/manifests/batches/mathlib/001080.json
index 5cd6d667a1388adc6370ee1bee3d34ffdd91c84e..2a6cc8c8d6ac12df5ba4fde071ba1e7fe58bf85d 100644
--- a/manifests/batches/mathlib/001080.json
+++ b/manifests/batches/mathlib/001080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001080",
   "batch_fingerprint": "900c5859a11e219cd1a3583bde2099ed433a52520f807b751958080a39048e2f",
   "evidence": {
@@ -1052,22 +1051,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001080-0000-5dd8250fde8423bf.parquet",
-      "sha256": "5dd8250fde8423bff3454128c072b320edee60ba7b00681818df73b425d054eb",
-      "bytes": 124528,
-      "rows": 36,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001080-0000-56a39f96714cce3c.parquet",
-      "sha256": "56a39f96714cce3cb531db9d7769cbdb5c7c346411bcaaa19b69506be3f048a0",
-      "bytes": 42739,
-      "rows": 6,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Quot.subsingleton_iff",
     "mathlib:Quotient.subsingleton_iff",
@@ -1101,5 +1085,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Setoid/Basic.lean\",null,null,\"Setoid.sSup_eq_eqvGen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Setoid/Basic.lean\",null,null,\"Setoid.sup_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Setoid/Basic.lean\",null,null,\"Setoid.sup_eq_eqvGen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124528,
+      "path": "data/train/p83/mathlib-001080-0000-5dd8250fde8423bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "5dd8250fde8423bff3454128c072b320edee60ba7b00681818df73b425d054eb"
+    },
+    {
+      "bytes": 42739,
+      "path": "data/internal_test/p83/mathlib-001080-0000-56a39f96714cce3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "56a39f96714cce3cb531db9d7769cbdb5c7c346411bcaaa19b69506be3f048a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001081.json b/manifests/batches/mathlib/001081.json
index dba6ed2adf37a87a98858c8fcbc9a0886d66eb28..59c3b1522f1cecceed91b56eda051e9737d333bc 100644
--- a/manifests/batches/mathlib/001081.json
+++ b/manifests/batches/mathlib/001081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001081",
   "batch_fingerprint": "685df8a302e8edf35784166a4ec1da3ce0af995ed514d4d993a009da7b1d12f5",
   "evidence": {
@@ -1837,22 +1836,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001081-0000-bae0f8f8f7e85731.parquet",
-      "sha256": "bae0f8f8f7e85731fd730d19b6bcece5e7b9f6ed1a38c27c8bf93234884e4cce",
-      "bytes": 135094,
-      "rows": 36,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/mathlib-001081-0000-4c383574e999669b.parquet",
-      "sha256": "4c383574e999669be748b3350d86d12afdc83c27de6088c171386ded1cd92102",
-      "bytes": 58482,
-      "rows": 5,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.sigma_map",
     "mathlib:Function.Surjective.sigma_map",
@@ -1888,5 +1872,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sigma/Basic.lean\",null,null,\"PSigma.ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sigma/Basic.lean\",null,null,\"Sigma.ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sigma/Basic.lean\",null,null,\"Sigma.fst_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135094,
+      "path": "data/train/p47/mathlib-001081-0000-bae0f8f8f7e85731.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "bae0f8f8f7e85731fd730d19b6bcece5e7b9f6ed1a38c27c8bf93234884e4cce"
+    },
+    {
+      "bytes": 58482,
+      "path": "data/internal_test/p47/mathlib-001081-0000-4c383574e999669b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4c383574e999669be748b3350d86d12afdc83c27de6088c171386ded1cd92102"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001082.json b/manifests/batches/mathlib/001082.json
index 8d219382dcfe141d8a355435017e76f5931eaf98..142d3e2cd404e3e5f48907d87da97a0361b0565d 100644
--- a/manifests/batches/mathlib/001082.json
+++ b/manifests/batches/mathlib/001082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001082",
   "batch_fingerprint": "5a37eed324b3b473923c8071cfd83dd23f9a218ac767e929d0c0b854d56f182b",
   "evidence": {
@@ -633,19 +632,20 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001082-0000-2b45ab70e3ecf15e.parquet",
-      "sha256": "2b45ab70e3ecf15e5fc4e8c4f866ff2307b874d68e0fc8e6cc922b2ade500c57",
-      "bytes": 53091,
-      "rows": 2,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Sigma.lex_swap"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sigma/Lex.lean\",null,null,\"Sigma.lex_swap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53091,
+      "path": "data/train/p7e/mathlib-001082-0000-2b45ab70e3ecf15e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2b45ab70e3ecf15e5fc4e8c4f866ff2307b874d68e0fc8e6cc922b2ade500c57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001083.json b/manifests/batches/mathlib/001083.json
index cfb836a08f45947dd13df65e09813dc43ace186e..fc9ca0529d6546f5db49e35a20914b98ba3d036d 100644
--- a/manifests/batches/mathlib/001083.json
+++ b/manifests/batches/mathlib/001083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001083",
   "batch_fingerprint": "f0b4f178100305e519f952f7e708fb7047f9f9c16694f90eed304b79843da50c",
   "evidence": {
@@ -1330,29 +1329,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001083-0000-38d77a0f5fe64033.parquet",
-      "sha256": "38d77a0f5fe64033cf06cf3f46aa60f33c7e5ee6d290cba6ae587690784bec0f",
-      "bytes": 100633,
-      "rows": 34,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001083-0000-16740665d7557274.parquet",
-      "sha256": "16740665d7557274f23eb85f04f465396fb93be6141e5d8eba10f5ea714c17a1",
-      "bytes": 42845,
-      "rows": 3,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001083-0000-0f004ef9129c2656.parquet",
-      "sha256": "0f004ef9129c2656b32c0e32e0bfbbbd448a83a3d61b52df2c163c9df58ea32b",
-      "bytes": 32012,
-      "rows": 3,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.sign_eq_sign",
     "mathlib:SignType.coe_neg",
@@ -1416,5 +1393,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sign.lean\",null,null,\"sign_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sign.lean\",null,null,\"sign_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sign.lean\",null,null,\"sign_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100633,
+      "path": "data/train/p13/mathlib-001083-0000-38d77a0f5fe64033.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "38d77a0f5fe64033cf06cf3f46aa60f33c7e5ee6d290cba6ae587690784bec0f"
+    },
+    {
+      "bytes": 42845,
+      "path": "data/dev/p13/mathlib-001083-0000-16740665d7557274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "16740665d7557274f23eb85f04f465396fb93be6141e5d8eba10f5ea714c17a1"
+    },
+    {
+      "bytes": 32012,
+      "path": "data/internal_test/p13/mathlib-001083-0000-0f004ef9129c2656.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0f004ef9129c2656b32c0e32e0bfbbbd448a83a3d61b52df2c163c9df58ea32b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001084.json b/manifests/batches/mathlib/001084.json
index dbc363dc25391691ad56f37e783c0a8318469fd8..f40a27f548197031f17194ee15d9392941e29ebf 100644
--- a/manifests/batches/mathlib/001084.json
+++ b/manifests/batches/mathlib/001084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001084",
   "batch_fingerprint": "546b1b02f6807cc08db856d3b6c68711860e810dc787a253e9d67b66bb88eeb6",
   "evidence": {
@@ -3632,29 +3631,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001084-0000-b2af30c00c73c91f.parquet",
-      "sha256": "b2af30c00c73c91f5ecf1153c6d531e449dd31fdb8e74f75d87dfc392f056428",
-      "bytes": 177783,
-      "rows": 67,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001084-0000-609fa99c35258f9c.parquet",
-      "sha256": "609fa99c35258f9c00ac10570153e19bdf23edb605febf1592f7693e271a2e67",
-      "bytes": 33140,
-      "rows": 2,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001084-0000-2463e8b7d11be4d4.parquet",
-      "sha256": "2463e8b7d11be4d4236f0c32a078b44d98959b8257680b7122d036e0bcaa7ec4",
-      "bytes": 45160,
-      "rows": 6,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:List.asString_eq",
     "mathlib:Stream'.append_append_stream",
@@ -3740,5 +3717,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Stream/Init.lean\",null,null,\"Stream'.zip_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Stream/Init.lean\",null,null,\"Stream'.zip_inits_tails\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/String/Basic.lean\",null,null,\"List.asString_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177783,
+      "path": "data/train/p2e/mathlib-001084-0000-b2af30c00c73c91f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "b2af30c00c73c91f5ecf1153c6d531e449dd31fdb8e74f75d87dfc392f056428"
+    },
+    {
+      "bytes": 33140,
+      "path": "data/dev/p2e/mathlib-001084-0000-609fa99c35258f9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "609fa99c35258f9c00ac10570153e19bdf23edb605febf1592f7693e271a2e67"
+    },
+    {
+      "bytes": 45160,
+      "path": "data/internal_test/p2e/mathlib-001084-0000-2463e8b7d11be4d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2463e8b7d11be4d4236f0c32a078b44d98959b8257680b7122d036e0bcaa7ec4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001085.json b/manifests/batches/mathlib/001085.json
index 32e540dc3e403db8e9116955f7fffbfcb5d5c642..5bff6f4fbf8674a0b44049cea40ba64d3b8225f5 100644
--- a/manifests/batches/mathlib/001085.json
+++ b/manifests/batches/mathlib/001085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001085",
   "batch_fingerprint": "53d91fbe2716a688887e403dedb411de9031505d98f4be1da75fa81f28ed8f4c",
   "evidence": {
@@ -854,29 +853,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001085-0000-ac3695765dd499d8.parquet",
-      "sha256": "ac3695765dd499d8a92730bf93fb53c193fe3da14d101b4ead575f60947502b1",
-      "bytes": 66508,
-      "rows": 13,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001085-0000-85b8219d39bf7cc3.parquet",
-      "sha256": "85b8219d39bf7cc33cec27c73941f9a2fad126d8f8b5270169fe710a548d8a0c",
-      "bytes": 37453,
-      "rows": 1,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001085-0000-231166cc85b039fa.parquet",
-      "sha256": "231166cc85b039fa5fdc29d6bf0a59223d320dad69477b61326d4bff608ab378",
-      "bytes": 28388,
-      "rows": 1,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:String.leftpad_length",
     "mathlib:String.leftpad_prefix",
@@ -900,5 +877,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Subtype.lean\",null,null,\"Subtype.restrict_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Subtype.lean\",null,null,\"Subtype.surjective_restrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Subtype.lean\",null,null,\"exists_subtype_mk_eq_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66508,
+      "path": "data/train/pdf/mathlib-001085-0000-ac3695765dd499d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac3695765dd499d8a92730bf93fb53c193fe3da14d101b4ead575f60947502b1"
+    },
+    {
+      "bytes": 37453,
+      "path": "data/dev/pdf/mathlib-001085-0000-85b8219d39bf7cc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "85b8219d39bf7cc33cec27c73941f9a2fad126d8f8b5270169fe710a548d8a0c"
+    },
+    {
+      "bytes": 28388,
+      "path": "data/internal_test/pdf/mathlib-001085-0000-231166cc85b039fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "231166cc85b039fa5fdc29d6bf0a59223d320dad69477b61326d4bff608ab378"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001086.json b/manifests/batches/mathlib/001086.json
index 2f036b7ae85b2a0672bc93e3f80c1d2486b35610..db0a83e99d7438caa68649d4ab5ccdcdd2c9decb 100644
--- a/manifests/batches/mathlib/001086.json
+++ b/manifests/batches/mathlib/001086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001086",
   "batch_fingerprint": "a41545e99260a26802f5bfd5409e2052e331528c7bdc8f7bb05f1efe994e79a8",
   "evidence": {
@@ -1909,29 +1908,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001086-0000-7e055a2f64642c0d.parquet",
-      "sha256": "7e055a2f64642c0d86fb8f79b97d2398a124d964031c93caf21a84e5e5144d19",
-      "bytes": 141160,
-      "rows": 45,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001086-0000-b4a7b0ee78482b86.parquet",
-      "sha256": "b4a7b0ee78482b86f69627113653210207628612bad12c5f8842729c3759353a",
-      "bytes": 45730,
-      "rows": 2,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001086-0000-3190f882e99bcb02.parquet",
-      "sha256": "3190f882e99bcb027b41c55155fbce58da18e8a10667cd2a9692797e5588e3bf",
-      "bytes": 59992,
-      "rows": 7,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.inl_mem_sumLexLift",
     "mathlib:Finset.inr_mem_sumLexLift",
@@ -2001,5 +1978,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sum/Interval.lean\",null,null,\"Sum.Lex.Ioc_inr_inr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sum/Interval.lean\",null,null,\"Sum.Lex.Ioo_inl_inl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sum/Interval.lean\",null,null,\"Sum.Lex.Ioo_inr_inr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141160,
+      "path": "data/train/pe3/mathlib-001086-0000-7e055a2f64642c0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "7e055a2f64642c0d86fb8f79b97d2398a124d964031c93caf21a84e5e5144d19"
+    },
+    {
+      "bytes": 45730,
+      "path": "data/dev/pe3/mathlib-001086-0000-b4a7b0ee78482b86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b4a7b0ee78482b86f69627113653210207628612bad12c5f8842729c3759353a"
+    },
+    {
+      "bytes": 59992,
+      "path": "data/internal_test/pe3/mathlib-001086-0000-3190f882e99bcb02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3190f882e99bcb027b41c55155fbce58da18e8a10667cd2a9692797e5588e3bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001087.json b/manifests/batches/mathlib/001087.json
index a4132d48b826b78373f441e43f88ee26c295f21e..3870d7401d5f9e9cbe648287cafa4a0980ec8e8f 100644
--- a/manifests/batches/mathlib/001087.json
+++ b/manifests/batches/mathlib/001087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001087",
   "batch_fingerprint": "d496703731d84d50a974df442acf0b86f1ba5a0ecbadc6354aef513be80607d0",
   "evidence": {
@@ -1745,7 +1744,8 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001088.json b/manifests/batches/mathlib/001088.json
index 423c96744a55068565a6a8aea0beb3c3a87cb382..e16f6a71028342c18bcb852c767207e50b6584a7 100644
--- a/manifests/batches/mathlib/001088.json
+++ b/manifests/batches/mathlib/001088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001088",
   "batch_fingerprint": "bc75e4c3eaa0bd39a62598c6f8b1c3ce606ee68f4dc84dc58ada86c6097c1ab8",
   "evidence": {
@@ -2118,29 +2117,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001088-0000-27524a3cbec7cce6.parquet",
-      "sha256": "27524a3cbec7cce6ed628d5e66e4524fa05f16f52d0b10136add7a0ba7e8b7d5",
-      "bytes": 75709,
-      "rows": 19,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001088-0000-47854dbde817043c.parquet",
-      "sha256": "47854dbde817043cf97ca6d25ac9f940515b1f924ef3a9b0bc12fb942bf7dd08",
-      "bytes": 48586,
-      "rows": 2,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001088-0000-1379d23a32f93e7a.parquet",
-      "sha256": "1379d23a32f93e7a71a3f6e90d63e0c2c4e75d7dc62b1172075f0e838b322d1c",
-      "bytes": 66755,
-      "rows": 17,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Sym.append_comm",
     "mathlib:Sym.card_sym_eq_choose",
@@ -2178,5 +2155,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sym/Card.lean\",null,null,\"Sym2.card_image_offDiag\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sym/Card.lean\",null,null,\"Sym2.card_subtype_diag\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Sym/Card.lean\",null,null,\"Sym2.card_subtype_not_diag\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75709,
+      "path": "data/train/p7b/mathlib-001088-0000-27524a3cbec7cce6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "27524a3cbec7cce6ed628d5e66e4524fa05f16f52d0b10136add7a0ba7e8b7d5"
+    },
+    {
+      "bytes": 48586,
+      "path": "data/dev/p7b/mathlib-001088-0000-47854dbde817043c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "47854dbde817043cf97ca6d25ac9f940515b1f924ef3a9b0bc12fb942bf7dd08"
+    },
+    {
+      "bytes": 66755,
+      "path": "data/internal_test/p7b/mathlib-001088-0000-1379d23a32f93e7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1379d23a32f93e7a71a3f6e90d63e0c2c4e75d7dc62b1172075f0e838b322d1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001089.json b/manifests/batches/mathlib/001089.json
index b57097aea7ca5bac682afb1555b2747bed0cea02..7ce5817b220ccef011d5fd12e49046a2f6935928 100644
--- a/manifests/batches/mathlib/001089.json
+++ b/manifests/batches/mathlib/001089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001089",
   "batch_fingerprint": "d991937db3bd6ec658936c076fe4e8a78726e5ea19df621abac5a54d145d8ba1",
   "evidence": {
@@ -1494,29 +1493,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001089-0000-0e1fc2ad49d8e1c4.parquet",
-      "sha256": "0e1fc2ad49d8e1c4e7fde124254bdb694030d372146fecddc9712c6a109bf223",
-      "bytes": 122328,
-      "rows": 54,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001089-0000-2a11ce7b8a0301f0.parquet",
-      "sha256": "2a11ce7b8a0301f0130ef71dd3944120c57cafde8eda0439c0250397ba9aa77d",
-      "bytes": 41395,
-      "rows": 4,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001089-0000-9baab3d497839290.parquet",
-      "sha256": "9baab3d497839290616ea96b64ff015a45ecea71d6ff475ebc9c375d10c3e9da",
-      "bytes": 33365,
-      "rows": 3,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Sym2.IsDiag.mem_range_diag",
     "mathlib:Sym2.Rel.symm",
@@ -1584,5 +1561,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Tree/Basic.lean\",null,null,\"Tree.left_node_right_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Tree/Basic.lean\",null,null,\"Tree.numLeaves_eq_numNodes_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Tree/Basic.lean\",null,null,\"Tree.numLeaves_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122328,
+      "path": "data/train/p97/mathlib-001089-0000-0e1fc2ad49d8e1c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "0e1fc2ad49d8e1c4e7fde124254bdb694030d372146fecddc9712c6a109bf223"
+    },
+    {
+      "bytes": 41395,
+      "path": "data/dev/p97/mathlib-001089-0000-2a11ce7b8a0301f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2a11ce7b8a0301f0130ef71dd3944120c57cafde8eda0439c0250397ba9aa77d"
+    },
+    {
+      "bytes": 33365,
+      "path": "data/internal_test/p97/mathlib-001089-0000-9baab3d497839290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9baab3d497839290616ea96b64ff015a45ecea71d6ff475ebc9c375d10c3e9da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001090.json b/manifests/batches/mathlib/001090.json
index 61a7aea29462fbecd24fa91668edf4936deabfba..fbbbf80d0094ed4267cc013755bc782cf1122804 100644
--- a/manifests/batches/mathlib/001090.json
+++ b/manifests/batches/mathlib/001090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001090",
   "batch_fingerprint": "01611582cd7273952cb02f7fd21d14e8caa52bbc1d65ae70c8167e2031dd77bf",
   "evidence": {
@@ -1914,29 +1913,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001090-0000-42066f9430eaadc1.parquet",
-      "sha256": "42066f9430eaadc1c42d6802ddae79631ea19fddd6d14ff276b29c6b4d0081a8",
-      "bytes": 154668,
-      "rows": 41,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001090-0000-44dcaa1ce9ff08f9.parquet",
-      "sha256": "44dcaa1ce9ff08f96f7cd973c0ac5025ea2753fad1757689a93763049003412e",
-      "bytes": 44053,
-      "rows": 5,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001090-0000-242dcf35e2128348.parquet",
-      "sha256": "242dcf35e2128348d39e300af2e8eb4f7cf6cab050fff36ffad1cbe3143a7a10",
-      "bytes": 42516,
-      "rows": 4,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TypeVec.Arrow.ext",
     "mathlib:TypeVec.append1_drop_last",
@@ -1984,5 +1961,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/TypeVec.lean\",null,null,\"TypeVec.toSubtype'_of_subtype'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/TypeVec.lean\",null,null,\"TypeVec.toSubtype_of_subtype\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/TypeVec.lean\",null,null,\"TypeVec.toSubtype_of_subtype_assoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154668,
+      "path": "data/train/pbb/mathlib-001090-0000-42066f9430eaadc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "42066f9430eaadc1c42d6802ddae79631ea19fddd6d14ff276b29c6b4d0081a8"
+    },
+    {
+      "bytes": 44053,
+      "path": "data/dev/pbb/mathlib-001090-0000-44dcaa1ce9ff08f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "44dcaa1ce9ff08f96f7cd973c0ac5025ea2753fad1757689a93763049003412e"
+    },
+    {
+      "bytes": 42516,
+      "path": "data/internal_test/pbb/mathlib-001090-0000-242dcf35e2128348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "242dcf35e2128348d39e300af2e8eb4f7cf6cab050fff36ffad1cbe3143a7a10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001091.json b/manifests/batches/mathlib/001091.json
index ffb997dbbd25ab4357b56d11d5f94c440a098832..18aa6225d7fc5bf7876ebebc69461ef9d1a1c792 100644
--- a/manifests/batches/mathlib/001091.json
+++ b/manifests/batches/mathlib/001091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001091",
   "batch_fingerprint": "0b071877d65944873d75546230af4ac6614d18e0146be06dadafe88d71bb1f89",
   "evidence": {
@@ -657,7 +656,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001092.json b/manifests/batches/mathlib/001092.json
index 527e5c6f7f150f223f7dbddf22a224805cb5885a..b1a8273257c46bb7bcf4c6036e86ce33df2be37f 100644
--- a/manifests/batches/mathlib/001092.json
+++ b/manifests/batches/mathlib/001092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001092",
   "batch_fingerprint": "d7b8366c6c7b459dbc73753227373e7ce48bf5203e64eb4ebd4f9e3bfda3fd14",
   "evidence": {
@@ -2242,29 +2241,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001092-0000-de67405cbfef2530.parquet",
-      "sha256": "de67405cbfef2530a9eb5b1b32265a0b42a877221dde8e378800f124e21ae5fa",
-      "bytes": 167658,
-      "rows": 62,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/mathlib-001092-0000-309cfc50c974c545.parquet",
-      "sha256": "309cfc50c974c54538149d19e3a988fff908e8678044e822b23f928df3e63529",
-      "bytes": 69255,
-      "rows": 6,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/mathlib-001092-0000-54fe2e306d612603.parquet",
-      "sha256": "54fe2e306d612603ce8bd4448315bd75f39e00c910646ffd16b8d184e52417a6",
-      "bytes": 49806,
-      "rows": 7,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UFModel.Agrees.get_eq",
     "mathlib:UFModel.Agrees.size_eq",
@@ -2342,5 +2319,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Basic.lean\",null,null,\"Vector.toList_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Basic.lean\",null,null,\"Vector.traverse_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Basic.lean\",null,null,\"Vector.traverse_eq_map_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167658,
+      "path": "data/train/p6e/mathlib-001092-0000-de67405cbfef2530.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "de67405cbfef2530a9eb5b1b32265a0b42a877221dde8e378800f124e21ae5fa"
+    },
+    {
+      "bytes": 69255,
+      "path": "data/dev/p6e/mathlib-001092-0000-309cfc50c974c545.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "309cfc50c974c54538149d19e3a988fff908e8678044e822b23f928df3e63529"
+    },
+    {
+      "bytes": 49806,
+      "path": "data/internal_test/p6e/mathlib-001092-0000-54fe2e306d612603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "54fe2e306d612603ce8bd4448315bd75f39e00c910646ffd16b8d184e52417a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001093.json b/manifests/batches/mathlib/001093.json
index 43afa7eb2f8455b82db91f0a94baebc74292087d..5b54da34668a653b6ba67a565621f15479c69c22 100644
--- a/manifests/batches/mathlib/001093.json
+++ b/manifests/batches/mathlib/001093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001093",
   "batch_fingerprint": "896d5211d87cfc044c8eddf368df282cb23411099a56633933da2745964f98bf",
   "evidence": {
@@ -532,29 +531,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001093-0000-9c8f19bbc1599ed2.parquet",
-      "sha256": "9c8f19bbc1599ed2f76b4367fbeb0cdc8ada22f6afe72f6d5eb7c6e1ca325f20",
-      "bytes": 168817,
-      "rows": 44,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/mathlib-001093-0000-f153434d6a65fab4.parquet",
-      "sha256": "f153434d6a65fab4663e1cd500d31e64c80137ba39e9702d5763211a76447253",
-      "bytes": 53199,
-      "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001093-0000-127781e38075e7ea.parquet",
-      "sha256": "127781e38075e7ea6c05ca35cf96371ae7934747efc262660788362e9e1d8f91",
-      "bytes": 53760,
-      "rows": 5,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Vector.cons_head_tail",
     "mathlib:Vector.mapAccumr_bisim_tail",
@@ -624,5 +601,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/MapLemmas.lean\",null,null,\"Vector.map\u2082_flip\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/MapLemmas.lean\",null,null,\"Vector.map\u2082_map_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/MapLemmas.lean\",null,null,\"Vector.map\u2082_map_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168817,
+      "path": "data/train/p46/mathlib-001093-0000-9c8f19bbc1599ed2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "9c8f19bbc1599ed2f76b4367fbeb0cdc8ada22f6afe72f6d5eb7c6e1ca325f20"
+    },
+    {
+      "bytes": 53199,
+      "path": "data/dev/p46/mathlib-001093-0000-f153434d6a65fab4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f153434d6a65fab4663e1cd500d31e64c80137ba39e9702d5763211a76447253"
+    },
+    {
+      "bytes": 53760,
+      "path": "data/internal_test/p46/mathlib-001093-0000-127781e38075e7ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "127781e38075e7ea6c05ca35cf96371ae7934747efc262660788362e9e1d8f91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001094.json b/manifests/batches/mathlib/001094.json
index bbf88cb43bb856ec3305eaf252c6f4a34c93ecc5..741779a6b7bf7fdf62a70fc04f8755cba396ed3b 100644
--- a/manifests/batches/mathlib/001094.json
+++ b/manifests/batches/mathlib/001094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001094",
   "batch_fingerprint": "84477bee7b41e8460422d1b747f7f3c98d3696ee0660f63b380bee69d864f3a6",
   "evidence": {
@@ -308,15 +307,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001094-0000-6b24b21b1234ec59.parquet",
-      "sha256": "6b24b21b1234ec5925e4daf7538078904ef970d39d4d853223f73f5a45ab67fe",
-      "bytes": 64638,
-      "rows": 21,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Vector.get_mem",
     "mathlib:Vector.mapAccumr\u2082_snoc",
@@ -344,5 +335,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Snoc.lean\",null,null,\"Vector.map\u2082_snoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Snoc.lean\",null,null,\"Vector.reverse_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector/Snoc.lean\",null,null,\"Vector.reverse_snoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64638,
+      "path": "data/train/p75/mathlib-001094-0000-6b24b21b1234ec59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6b24b21b1234ec5925e4daf7538078904ef970d39d4d853223f73f5a45ab67fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001095.json b/manifests/batches/mathlib/001095.json
index f88c11097ffca9b3604cbd55ab3a2f6f25c2c981..4267d2c60b12db42f052c6a5a1935772d35304d5 100644
--- a/manifests/batches/mathlib/001095.json
+++ b/manifests/batches/mathlib/001095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001095",
   "batch_fingerprint": "937c5ae64bc638e72e29e6d2024ee1a509b489be73bace12d03d322649b2a859",
   "evidence": {
@@ -618,22 +617,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001095-0000-f0140be0f765f619.parquet",
-      "sha256": "f0140be0f765f619aef0ab635068b4cda51a412ce933fb9dfd2ed370f3c338b9",
-      "bytes": 53547,
-      "rows": 9,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001095-0000-d1e95e3d70f53929.parquet",
-      "sha256": "d1e95e3d70f53929c7e8e04b21b8e165e3e3dc51d7cae23c9f0066fad8acc53d",
-      "bytes": 34880,
-      "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Vector.zipWith_get",
     "mathlib:Vector.zipWith_tail",
@@ -649,5 +633,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector3.lean\",null,null,\"Vector3.insert_fs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector3.lean\",null,null,\"Vector3.insert_fz\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Vector3.lean\",null,null,\"exists_vector_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53547,
+      "path": "data/train/p4e/mathlib-001095-0000-f0140be0f765f619.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f0140be0f765f619aef0ab635068b4cda51a412ce933fb9dfd2ed370f3c338b9"
+    },
+    {
+      "bytes": 34880,
+      "path": "data/internal_test/p4e/mathlib-001095-0000-d1e95e3d70f53929.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d1e95e3d70f53929c7e8e04b21b8e165e3e3dc51d7cae23c9f0066fad8acc53d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001096.json b/manifests/batches/mathlib/001096.json
index 54c797397f069c6210210a9ec55889fc98a21f5e..f5be20562eb89708d7a2125ca452d3a3e93faf29 100644
--- a/manifests/batches/mathlib/001096.json
+++ b/manifests/batches/mathlib/001096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001096",
   "batch_fingerprint": "153057b78ed0f18cf4770b090a2a183479d05e9605468af640bd1a8cd540577d",
   "evidence": {
@@ -302,29 +301,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001096-0000-bd11f47cdecc9083.parquet",
-      "sha256": "bd11f47cdecc90836052be98176f31992b3ad6e3ed27e54cfc0b43e6a1f5c3c2",
-      "bytes": 53441,
-      "rows": 12,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/mathlib-001096-0000-e087b6ff4acc5a0e.parquet",
-      "sha256": "e087b6ff4acc5a0e32a79bec0f5fe772fd8b3dd6e52efb20279fbfa51b61d5af",
-      "bytes": 33228,
-      "rows": 2,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001096-0000-6990607630d0a01e.parquet",
-      "sha256": "6990607630d0a01e6cd67f9890b9ae27b7ab5ad2ed0c789839abd7d17bce5dd4",
-      "bytes": 60766,
-      "rows": 3,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WType.cardinal_mk_eq_sum",
     "mathlib:WType.cardinal_mk_eq_sum'",
@@ -342,5 +319,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/W/Cardinal.lean\",null,null,\"WType.cardinal_mk_le_max_aleph0_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/W/Cardinal.lean\",null,null,\"WType.cardinal_mk_le_of_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/W/Cardinal.lean\",null,null,\"WType.cardinal_mk_le_of_le'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53441,
+      "path": "data/train/pe6/mathlib-001096-0000-bd11f47cdecc9083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bd11f47cdecc90836052be98176f31992b3ad6e3ed27e54cfc0b43e6a1f5c3c2"
+    },
+    {
+      "bytes": 33228,
+      "path": "data/dev/pe6/mathlib-001096-0000-e087b6ff4acc5a0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e087b6ff4acc5a0e32a79bec0f5fe772fd8b3dd6e52efb20279fbfa51b61d5af"
+    },
+    {
+      "bytes": 60766,
+      "path": "data/internal_test/pe6/mathlib-001096-0000-6990607630d0a01e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6990607630d0a01e6cd67f9890b9ae27b7ab5ad2ed0c789839abd7d17bce5dd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001097.json b/manifests/batches/mathlib/001097.json
index 3590faade2195c9102e9ecffee153665f712331a..b0f3e7006789429417a82d51522b8f269e08d713 100644
--- a/manifests/batches/mathlib/001097.json
+++ b/manifests/batches/mathlib/001097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001097",
   "batch_fingerprint": "030af594dd8e02b7218bbc7ad9b456d41d24cf43cfa7f8254fd21c90ce15256d",
   "evidence": {
@@ -5707,29 +5706,7 @@
     "validation_rejected_proofs": 31,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001097-0000-d14a9df8f38866a5.parquet",
-      "sha256": "d14a9df8f38866a55f01b81f7fdcaad135eb81365c8df05d65f6fe85ac76068d",
-      "bytes": 202920,
-      "rows": 74,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/mathlib-001097-0000-d21d96f0869fd0f3.parquet",
-      "sha256": "d21d96f0869fd0f30e8bb125fbd2b15a357c802b4f9b05aee1abcef07c12b8d7",
-      "bytes": 36697,
-      "rows": 4,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001097-0000-820015014902a34c.parquet",
-      "sha256": "820015014902a34cc88a2b1e3fbd262f12883060a039b6cf9fab605c6f7ca3da",
-      "bytes": 59197,
-      "rows": 19,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.ext_zmod",
     "mathlib:WType.rightInverse_list",
@@ -5833,5 +5810,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Basic.lean\",null,null,\"ZMod.val_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Basic.lean\",null,null,\"ZMod.val_one_eq_one_mod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Basic.lean\",null,null,\"ZMod.val_unit'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202920,
+      "path": "data/train/pe8/mathlib-001097-0000-d14a9df8f38866a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "d14a9df8f38866a55f01b81f7fdcaad135eb81365c8df05d65f6fe85ac76068d"
+    },
+    {
+      "bytes": 36697,
+      "path": "data/dev/pe8/mathlib-001097-0000-d21d96f0869fd0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d21d96f0869fd0f30e8bb125fbd2b15a357c802b4f9b05aee1abcef07c12b8d7"
+    },
+    {
+      "bytes": 59197,
+      "path": "data/internal_test/pe8/mathlib-001097-0000-820015014902a34c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "820015014902a34cc88a2b1e3fbd262f12883060a039b6cf9fab605c6f7ca3da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001098.json b/manifests/batches/mathlib/001098.json
index a3636059729d1cf127390d54b9cc01be16021caa..4c677738a549e5793554c953e6147738a2382cfb 100644
--- a/manifests/batches/mathlib/001098.json
+++ b/manifests/batches/mathlib/001098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001098",
   "batch_fingerprint": "97d1baefa06c1bee725749751d853f8e13bcb2412e1dc4f580e38e9301a05168",
   "evidence": {
@@ -112,28 +111,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Fin.left_distrib_aux",
+    "mathlib:ZMod.eq_zero_iff_gcd_ne_one"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Coprime.lean\",null,null,\"ZMod.eq_zero_iff_gcd_ne_one\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Defs.lean\",null,null,\"Fin.left_distrib_aux\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001098-0000-5e54915e551d5952.parquet",
-      "sha256": "5e54915e551d595250a4f16c62bc8b42b469a2ed2a85745636b4935c502b181e",
       "bytes": 33025,
+      "path": "data/train/pae/mathlib-001098-0000-5e54915e551d5952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "5e54915e551d595250a4f16c62bc8b42b469a2ed2a85745636b4935c502b181e"
     },
     {
-      "path": "data/internal_test/mathlib-001098-0000-ff53691a47787613.parquet",
-      "sha256": "ff53691a47787613093b233381fd1147c8635741286867f8c57b3125484b0de6",
       "bytes": 33085,
+      "path": "data/internal_test/pae/mathlib-001098-0000-ff53691a47787613.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "ff53691a47787613093b233381fd1147c8635741286867f8c57b3125484b0de6"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Fin.left_distrib_aux",
-    "mathlib:ZMod.eq_zero_iff_gcd_ne_one"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Coprime.lean\",null,null,\"ZMod.eq_zero_iff_gcd_ne_one\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Defs.lean\",null,null,\"Fin.left_distrib_aux\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001099.json b/manifests/batches/mathlib/001099.json
index 05e7dabfa1489f0539557913c253a209f3d88f38..776b709771bc828acd651510e14169747b0e37dc 100644
--- a/manifests/batches/mathlib/001099.json
+++ b/manifests/batches/mathlib/001099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001099",
   "batch_fingerprint": "e0977e6ca1904e788baa9cea35259ac1e90517fe3d8f07d9fdc1e30e2e6673f3",
   "evidence": {
@@ -304,22 +303,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001099-0000-baf14b2f719cfc96.parquet",
-      "sha256": "baf14b2f719cfc96701c5861f354362c4ba9e5f1e4f71db0b49a763d9954ba2c",
-      "bytes": 55534,
-      "rows": 9,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001099-0000-2e70683d509e14f7.parquet",
-      "sha256": "2e70683d509e14f72b5b81accc12af9eaa116e601cd4bd982e59791aea6ce327",
-      "bytes": 48616,
-      "rows": 2,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZMod.cast_descFactorial",
     "mathlib:uzpow_intCast",
@@ -329,5 +313,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Factorial.lean\",null,null,\"ZMod.cast_descFactorial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/IntUnitsPower.lean\",null,null,\"uzpow_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/IntUnitsPower.lean\",null,null,\"uzpow_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55534,
+      "path": "data/train/pa0/mathlib-001099-0000-baf14b2f719cfc96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "baf14b2f719cfc96701c5861f354362c4ba9e5f1e4f71db0b49a763d9954ba2c"
+    },
+    {
+      "bytes": 48616,
+      "path": "data/internal_test/pa0/mathlib-001099-0000-2e70683d509e14f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2e70683d509e14f72b5b81accc12af9eaa116e601cd4bd982e59791aea6ce327"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001100.json b/manifests/batches/mathlib/001100.json
index 4b6c7a16b6017c565b78739b37de63cdc85715f8..e2ea501b0e0ed441cdef87bdd4b0702a5c925f94 100644
--- a/manifests/batches/mathlib/001100.json
+++ b/manifests/batches/mathlib/001100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001100",
   "batch_fingerprint": "fe0d645a00890f1b145c97d67f8bb46f9d89ec1379689d0901263129aed1bda5",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001100-0000-459d03f05d57f435.parquet",
-      "sha256": "459d03f05d57f435103b536d67c11699f5a8cb9006f54ed6475692cb538603eb",
-      "bytes": 51860,
-      "rows": 7,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZMod.eq_one_iff_odd",
     "mathlib:ZMod.map_smul",
@@ -192,5 +183,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Module.lean\",null,null,\"ZMod.smul_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Parity.lean\",null,null,\"ZMod.eq_one_iff_odd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Parity.lean\",null,null,\"ZMod.ne_zero_iff_odd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51860,
+      "path": "data/train/p74/mathlib-001100-0000-459d03f05d57f435.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "459d03f05d57f435103b536d67c11699f5a8cb9006f54ed6475692cb538603eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001101.json b/manifests/batches/mathlib/001101.json
index 7b4ddfde54b550026eb1cb50138146b1a45974e6..6fa0d6dc5ae8c886db77ed46c4bc0ee8466d3c17 100644
--- a/manifests/batches/mathlib/001101.json
+++ b/manifests/batches/mathlib/001101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001101",
   "batch_fingerprint": "9ef5c8fdf86befd9aa1401083cf7a9880c95e5e45e8c49bba71f8d1a32372856",
   "evidence": {
@@ -637,15 +636,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001101-0000-d9326fb78cd8de93.parquet",
-      "sha256": "d9326fb78cd8de93dc1998bb4d55658b4617ee376ca82c2f89cb1ad05561fc2c",
-      "bytes": 77696,
-      "rows": 14,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddAction.orbitZMultiplesEquiv_symm_apply'",
     "mathlib:MulAction.minimalPeriod_eq_card",
@@ -665,5 +656,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Units.lean\",null,null,\"ZMod.not_isUnit_of_mem_primeFactors\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Units.lean\",null,null,\"ZMod.unitsMap_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ZMod/Units.lean\",null,null,\"ZMod.unitsMap_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77696,
+      "path": "data/train/p6d/mathlib-001101-0000-d9326fb78cd8de93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d9326fb78cd8de93dc1998bb4d55658b4617ee376ca82c2f89cb1ad05561fc2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001102.json b/manifests/batches/mathlib/001102.json
index 0339868d7742b92b8edb7bff8211b3bc069a5b0c..c0885d91eb08d6da1a385b3f1c971b620020106f 100644
--- a/manifests/batches/mathlib/001102.json
+++ b/manifests/batches/mathlib/001102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001102",
   "batch_fingerprint": "841f2462a1c8ab74018286855018eebb224492626933fed3ee1ba7d96141f00e",
   "evidence": {
@@ -1151,29 +1150,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001102-0000-a4ca5ad68a679e9b.parquet",
-      "sha256": "a4ca5ad68a679e9b1bf78cd4d07d24862ed3df7bb85e7082920a396fbdff4d82",
-      "bytes": 53099,
-      "rows": 9,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/mathlib-001102-0000-45928ce9f1e6e7a8.parquet",
-      "sha256": "45928ce9f1e6e7a818e272889523d6689629932feba70e0e7bc396113a450a6c",
-      "bytes": 36350,
-      "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001102-0000-ab5f138711ea5e93.parquet",
-      "sha256": "ab5f138711ea5e9371ea6d42a786cf59b43a49aef988426edb630ebdf229166d",
-      "bytes": 36248,
-      "rows": 1,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsAddGroupHom.sub",
     "mathlib:IsGroupHom.map_div",
@@ -1199,5 +1176,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Ring.lean\",null,null,\"IsRingHom.map_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Ring.lean\",null,null,\"IsSemiringHom.id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Ring.lean\",null,null,\"IsSemiringHom.to_isAddMonoidHom\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53099,
+      "path": "data/train/p54/mathlib-001102-0000-a4ca5ad68a679e9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a4ca5ad68a679e9b1bf78cd4d07d24862ed3df7bb85e7082920a396fbdff4d82"
+    },
+    {
+      "bytes": 36350,
+      "path": "data/dev/p54/mathlib-001102-0000-45928ce9f1e6e7a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "45928ce9f1e6e7a818e272889523d6689629932feba70e0e7bc396113a450a6c"
+    },
+    {
+      "bytes": 36248,
+      "path": "data/internal_test/p54/mathlib-001102-0000-ab5f138711ea5e93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ab5f138711ea5e9371ea6d42a786cf59b43a49aef988426edb630ebdf229166d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001103.json b/manifests/batches/mathlib/001103.json
index 1f434f090721b3f98a5522afc991130aee45308b..7024e59566159fa4341bbfc0451d63dd92af266a 100644
--- a/manifests/batches/mathlib/001103.json
+++ b/manifests/batches/mathlib/001103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001103",
   "batch_fingerprint": "37fa16109233a7c2b1562c0a7e7d0470c0bfd1e94ba5aff6f862f4f157009d32",
   "evidence": {
@@ -2335,29 +2334,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001103-0000-dd6431d4dac5e3d4.parquet",
-      "sha256": "dd6431d4dac5e3d40b28e7746e41db8e059bd45cd2136c73fdc67a21699c9afc",
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-      "rows": 36,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/mathlib-001103-0000-fedc6c384e4550ab.parquet",
-      "sha256": "fedc6c384e4550ab188030098b7ab45fc638f2e1455a7e7d2332aeb0aff0db5a",
-      "bytes": 44741,
-      "rows": 3,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/mathlib-001103-0000-0c9b6957e7a418b6.parquet",
-      "sha256": "0c9b6957e7a418b6e4d9b43c3e780863737d05792d0fea451cd2736844396f67",
-      "bytes": 49481,
-      "rows": 4,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Additive.isAddSubgroup_iff",
     "mathlib:Additive.isNormalAddSubgroup_iff",
@@ -2411,5 +2388,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Subgroup.lean\",null,null,\"Multiplicative.isNormalSubgroup_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Subgroup.lean\",null,null,\"Multiplicative.isSubgroup_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Subgroup.lean\",null,null,\"isNormalSubgroup_of_commGroup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149752,
+      "path": "data/train/p7e/mathlib-001103-0000-dd6431d4dac5e3d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "dd6431d4dac5e3d40b28e7746e41db8e059bd45cd2136c73fdc67a21699c9afc"
+    },
+    {
+      "bytes": 44741,
+      "path": "data/dev/p7e/mathlib-001103-0000-fedc6c384e4550ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fedc6c384e4550ab188030098b7ab45fc638f2e1455a7e7d2332aeb0aff0db5a"
+    },
+    {
+      "bytes": 49481,
+      "path": "data/internal_test/p7e/mathlib-001103-0000-0c9b6957e7a418b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0c9b6957e7a418b6e4d9b43c3e780863737d05792d0fea451cd2736844396f67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001104.json b/manifests/batches/mathlib/001104.json
index 681ded40d336d3e12d84d3e7b837824b2edb4fe6..801301092ab2680a3d3a179c609b90a4827b9b4e 100644
--- a/manifests/batches/mathlib/001104.json
+++ b/manifests/batches/mathlib/001104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001104",
   "batch_fingerprint": "b9be32052b02e9eef2de375f6972d340c15e2472dfa1dca599d7026d9fdffd7b",
   "evidence": {
@@ -1404,22 +1403,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001104-0000-ba05ec572af4f96d.parquet",
-      "sha256": "ba05ec572af4f96dca18f7d10b477ada095ecd1230f5a06a4c46f379986f7d7b",
-      "bytes": 47496,
-      "rows": 6,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001104-0000-30b9d2928873d7ea.parquet",
-      "sha256": "30b9d2928873d7ea617a75460b88eb6b47159435e02796a57ea1ee6053194a91",
-      "bytes": 40967,
-      "rows": 2,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsSubmonoid.finset_prod_mem",
     "mathlib:IsSubmonoid.image",
@@ -1437,5 +1421,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Submonoid.lean\",null,null,\"Submonoid.isSubmonoid\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Submonoid.lean\",null,null,\"Univ.isSubmonoid\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Deprecated/Submonoid.lean\",null,null,\"powers.mul_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47496,
+      "path": "data/train/p32/mathlib-001104-0000-ba05ec572af4f96d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ba05ec572af4f96dca18f7d10b477ada095ecd1230f5a06a4c46f379986f7d7b"
+    },
+    {
+      "bytes": 40967,
+      "path": "data/internal_test/p32/mathlib-001104-0000-30b9d2928873d7ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "30b9d2928873d7ea617a75460b88eb6b47159435e02796a57ea1ee6053194a91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001105.json b/manifests/batches/mathlib/001105.json
index 6e40e37a5fd2eb29ba82cd4a339b41bb07416053..08fbcb401110ba646649702f0b30ed5f589183a8 100644
--- a/manifests/batches/mathlib/001105.json
+++ b/manifests/batches/mathlib/001105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001105",
   "batch_fingerprint": "b44db09103d28912d2e15cfe6e93f77e455b1e00151bcfbeffb5bc0fe61c9a47",
   "evidence": {
@@ -238,22 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001105-0000-1b31cd0c04a75da3.parquet",
-      "sha256": "1b31cd0c04a75da3da1ba17a4f834086aa0448cf590e961502a4751d42570381",
-      "bytes": 67739,
-      "rows": 9,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001105-0000-10399eba52e5d9c7.parquet",
-      "sha256": "10399eba52e5d9c724cb291c16162054b41134b71ab9b2ed35985ed617bb7d7f",
-      "bytes": 45870,
-      "rows": 2,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.IsFixedPt.birkhoffAverage_eq",
     "mathlib:Function.IsFixedPt.birkhoffSum_eq",
@@ -275,5 +259,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/BirkhoffSum/Basic.lean\",null,null,\"Function.IsFixedPt.birkhoffSum_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/BirkhoffSum/Basic.lean\",null,null,\"birkhoffSum_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/BirkhoffSum/Basic.lean\",null,null,\"birkhoffSum_apply_sub_birkhoffSum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67739,
+      "path": "data/train/p23/mathlib-001105-0000-1b31cd0c04a75da3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1b31cd0c04a75da3da1ba17a4f834086aa0448cf590e961502a4751d42570381"
+    },
+    {
+      "bytes": 45870,
+      "path": "data/internal_test/p23/mathlib-001105-0000-10399eba52e5d9c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "10399eba52e5d9c724cb291c16162054b41134b71ab9b2ed35985ed617bb7d7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001106.json b/manifests/batches/mathlib/001106.json
index 51c8380cd6cc7b11963475851b5eff42fa4984f9..9042db80252d0931e58ae352eb734655c0174cae 100644
--- a/manifests/batches/mathlib/001106.json
+++ b/manifests/batches/mathlib/001106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001106",
   "batch_fingerprint": "b828751640be86fb10a93a7c8e5aa113ba2bd4812f605be4be7dc5415b236b80",
   "evidence": {
@@ -2282,29 +2281,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001106-0000-262381f994eb326a.parquet",
-      "sha256": "262381f994eb326a7f9e88ea23c8f4e131c7701f5819db6c71e5656eba989047",
-      "bytes": 251946,
-      "rows": 85,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/mathlib-001106-0000-94d160e2a23efc01.parquet",
-      "sha256": "94d160e2a23efc012180f00a8c2b7603205a63a089f1d752d8f698cb5fa3f071",
-      "bytes": 45094,
-      "rows": 2,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001106-0000-6fff3ff71c3a7421.parquet",
-      "sha256": "6fff3ff71c3a74215a400a7a5222d4cf9725d6b274dc143a94d6a32fdab7e08a",
-      "bytes": 40221,
-      "rows": 1,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CircleDeg1Lift.coe_pow",
     "mathlib:CircleDeg1Lift.commute_add_int",
@@ -2404,5 +2381,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean\",null,null,\"CircleDeg1Lift.transnumAuxSeq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean\",null,null,\"CircleDeg1Lift.units_apply_inv_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean\",null,null,\"CircleDeg1Lift.units_inv_apply_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251946,
+      "path": "data/train/p6b/mathlib-001106-0000-262381f994eb326a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "262381f994eb326a7f9e88ea23c8f4e131c7701f5819db6c71e5656eba989047"
+    },
+    {
+      "bytes": 45094,
+      "path": "data/dev/p6b/mathlib-001106-0000-94d160e2a23efc01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "94d160e2a23efc012180f00a8c2b7603205a63a089f1d752d8f698cb5fa3f071"
+    },
+    {
+      "bytes": 40221,
+      "path": "data/internal_test/p6b/mathlib-001106-0000-6fff3ff71c3a7421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6fff3ff71c3a74215a400a7a5222d4cf9725d6b274dc143a94d6a32fdab7e08a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001107.json b/manifests/batches/mathlib/001107.json
index b18efc4b80360433604481aabd198c1e397f8c41..e0d0f8d6e9c20e0c1c7bb31f7792bb375992fee6 100644
--- a/manifests/batches/mathlib/001107.json
+++ b/manifests/batches/mathlib/001107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001107",
   "batch_fingerprint": "698b9d7e37157d37070268bd2c0a67f855af79d50e674874cc5a0a51b42c1b9d",
   "evidence": {
@@ -1323,22 +1322,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001107-0000-44fcb947d17d3109.parquet",
-      "sha256": "44fcb947d17d3109f97c94cdc9cf688153daefa7df2f7caa46be07ae4f0a9d56",
-      "bytes": 83079,
-      "rows": 14,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001107-0000-7bd772e9487e8201.parquet",
-      "sha256": "7bd772e9487e8201f17e2dd07aa40730d4719b75da02eadbd3a8da2521657254",
-      "bytes": 28238,
-      "rows": 1,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCircle.ergodic_nsmul",
     "mathlib:AddCircle.ergodic_nsmul_add",
@@ -1352,5 +1336,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Ergodic/Conservative.lean\",null,null,\"MeasureTheory.Conservative.ae_forall_image_mem_imp_frequently_image_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Ergodic/Conservative.lean\",null,null,\"MeasureTheory.Conservative.ae_frequently_mem_of_mem_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Ergodic/Conservative.lean\",null,null,\"MeasureTheory.Conservative.ae_mem_imp_frequently_image_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83079,
+      "path": "data/train/pfc/mathlib-001107-0000-44fcb947d17d3109.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "44fcb947d17d3109f97c94cdc9cf688153daefa7df2f7caa46be07ae4f0a9d56"
+    },
+    {
+      "bytes": 28238,
+      "path": "data/internal_test/pfc/mathlib-001107-0000-7bd772e9487e8201.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7bd772e9487e8201f17e2dd07aa40730d4719b75da02eadbd3a8da2521657254"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001108.json b/manifests/batches/mathlib/001108.json
index 8b33a2715f1e3423d7e5f1fb8eb273e4d81914ff..a5643d27e18bba97a27334ca6d167af1c3da7013 100644
--- a/manifests/batches/mathlib/001108.json
+++ b/manifests/batches/mathlib/001108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001108",
   "batch_fingerprint": "6394c2322ddea850cb2e251940d2051c12c5ba5b5ba22a07e7a2bc313eb35e68",
   "evidence": {
@@ -572,29 +571,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001108-0000-2d36c463d0ce7ddd.parquet",
-      "sha256": "2d36c463d0ce7ddd352164132dc0a923a4994e5c61b6cfa1eb6a1e62ed5b2fbe",
-      "bytes": 74907,
-      "rows": 11,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/mathlib-001108-0000-99d401db520b3e09.parquet",
-      "sha256": "99d401db520b3e09d3ec1f2b87ca3be006c08397c606f056f43e0b3d8f78ac65",
-      "bytes": 51011,
-      "rows": 2,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001108-0000-7923140d3c77176a.parquet",
-      "sha256": "7923140d3c77176a837cfe20bf66f7f77dde418cb249cf1e94c738ccbe8e698b",
-      "bytes": 64898,
-      "rows": 4,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ergodic.ae_empty_or_univ_of_image_ae_le'",
     "mathlib:Ergodic.ae_empty_or_univ_of_preimage_ae_le'",
@@ -612,5 +589,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Ergodic/Function.lean\",null,null,\"PreErgodic.ae_eq_const_of_ae_eq_comp\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Ergodic/Function.lean\",null,null,\"QuasiErgodic.ae_eq_const_of_ae_eq_comp_of_ae_range\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74907,
+      "path": "data/train/pb6/mathlib-001108-0000-2d36c463d0ce7ddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2d36c463d0ce7ddd352164132dc0a923a4994e5c61b6cfa1eb6a1e62ed5b2fbe"
+    },
+    {
+      "bytes": 51011,
+      "path": "data/dev/pb6/mathlib-001108-0000-99d401db520b3e09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "99d401db520b3e09d3ec1f2b87ca3be006c08397c606f056f43e0b3d8f78ac65"
+    },
+    {
+      "bytes": 64898,
+      "path": "data/internal_test/pb6/mathlib-001108-0000-7923140d3c77176a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7923140d3c77176a837cfe20bf66f7f77dde418cb249cf1e94c738ccbe8e698b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001109.json b/manifests/batches/mathlib/001109.json
index 953015d454d7cf9477431968ee9c3cd21d9c7216..ce7ec5e1f5d593617a28471b51f11a427ade67f7 100644
--- a/manifests/batches/mathlib/001109.json
+++ b/manifests/batches/mathlib/001109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001109",
   "batch_fingerprint": "48ecaa5eba0998e3e4613df8d7e3b2e37c1409bce7b156dea0c76fab86dccd14",
   "evidence": {
@@ -780,22 +779,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001109-0000-bdc6d201c055daf0.parquet",
-      "sha256": "bdc6d201c055daf0b444dd3e2e0b3c821f7343e4d7a17559860bae208b7e27d2",
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-      "rows": 20,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001109-0000-6ba1dca5c8f2e730.parquet",
-      "sha256": "6ba1dca5c8f2e730f9e1fd260b34ca8a0c9a32979d5f4bba8fb78de83598440b",
-      "bytes": 57702,
-      "rows": 4,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Commute.invOn_fixedPoints_comp",
     "mathlib:Function.Commute.left_bijOn_fixedPoints_comp",
@@ -833,5 +817,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/FixedPoints/Basic.lean\",null,null,\"Function.IsFixedPt.preimage_iterate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/FixedPoints/Basic.lean\",null,null,\"Function.fixedPoints_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/FixedPoints/Basic.lean\",null,null,\"Function.mem_fixedPoints_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79960,
+      "path": "data/train/p06/mathlib-001109-0000-bdc6d201c055daf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "bdc6d201c055daf0b444dd3e2e0b3c821f7343e4d7a17559860bae208b7e27d2"
+    },
+    {
+      "bytes": 57702,
+      "path": "data/internal_test/p06/mathlib-001109-0000-6ba1dca5c8f2e730.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6ba1dca5c8f2e730f9e1fd260b34ca8a0c9a32979d5f4bba8fb78de83598440b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001110.json b/manifests/batches/mathlib/001110.json
index ceda251ebe9f91ffeafe45e48706dafc7869d009..e40ff8c4f496191f3fa793fe0b37c33a3380fcf6 100644
--- a/manifests/batches/mathlib/001110.json
+++ b/manifests/batches/mathlib/001110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001110",
   "batch_fingerprint": "8cf1ccb2cb994ac8668b88e95244ddbaf680a33640bcbe18f1c679a30af39e07",
   "evidence": {
@@ -261,22 +260,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001110-0000-53711de6535d8b28.parquet",
-      "sha256": "53711de6535d8b28be4a07e262690ad893b06b976c73110555e1bc22c9853739",
-      "bytes": 55043,
-      "rows": 9,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/mathlib-001110-0000-e59b211f5e30add1.parquet",
-      "sha256": "e59b211f5e30add1bbae688c4eee255a2f115d92b1cacbb88f0df0a957f4c7de",
-      "bytes": 31710,
-      "rows": 1,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Flow.continuous_toFun",
     "mathlib:Flow.ext",
@@ -288,5 +272,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Flow.lean\",null,null,\"Flow.continuous_toFun\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Flow.lean\",null,null,\"Flow.ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Flow.lean\",null,null,\"isInvariant_iff_image\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55043,
+      "path": "data/train/p16/mathlib-001110-0000-53711de6535d8b28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "53711de6535d8b28be4a07e262690ad893b06b976c73110555e1bc22c9853739"
+    },
+    {
+      "bytes": 31710,
+      "path": "data/dev/p16/mathlib-001110-0000-e59b211f5e30add1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e59b211f5e30add1bbae688c4eee255a2f115d92b1cacbb88f0df0a957f4c7de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001111.json b/manifests/batches/mathlib/001111.json
index a65d831b684915cc416e61ce9d59b9ecf3731f10..fda1d30a7ec4e7cf5ea23b3056a37d771b7bea81 100644
--- a/manifests/batches/mathlib/001111.json
+++ b/manifests/batches/mathlib/001111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001111",
   "batch_fingerprint": "fa7bf1741eeb0f9175c452da9cb37dfffe698d4c38470a2b6be82ceceb035167",
   "evidence": {
@@ -611,22 +610,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001111-0000-7e9475220a89ca04.parquet",
-      "sha256": "7e9475220a89ca0472928ba3b99d3086893b7f8655933f4ee2a11612dd980b1b",
-      "bytes": 50246,
-      "rows": 3,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001111-0000-92dc0566bdd18dff.parquet",
-      "sha256": "92dc0566bdd18dff9712194c2d082f448ec4578c89dece1804b275a4cf2e4483",
-      "bytes": 43315,
-      "rows": 1,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.isFixedPt_newtonMap_of_aeval_eq_zero",
     "mathlib:Polynomial.isFixedPt_newtonMap_of_isUnit_iff",
@@ -638,5 +622,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Newton.lean\",null,null,\"Polynomial.isFixedPt_newtonMap_of_isUnit_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Newton.lean\",null,null,\"Polynomial.newtonMap_apply_of_isUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/Newton.lean\",null,null,\"Polynomial.newtonMap_apply_of_not_isUnit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50246,
+      "path": "data/train/pf4/mathlib-001111-0000-7e9475220a89ca04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7e9475220a89ca0472928ba3b99d3086893b7f8655933f4ee2a11612dd980b1b"
+    },
+    {
+      "bytes": 43315,
+      "path": "data/internal_test/pf4/mathlib-001111-0000-92dc0566bdd18dff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "92dc0566bdd18dff9712194c2d082f448ec4578c89dece1804b275a4cf2e4483"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001112.json b/manifests/batches/mathlib/001112.json
index 80edf957e9385caf9f0517805057c6fa3844ed49..70b25d6e7e073a24c8c4b6dbcf21f6f2a94d0996 100644
--- a/manifests/batches/mathlib/001112.json
+++ b/manifests/batches/mathlib/001112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001112",
   "batch_fingerprint": "c1e6bbe6e953aed62efafeb7e5e67954826284e0e45592ccc7ec02bb34ef341a",
   "evidence": {
@@ -2864,29 +2863,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001112-0000-3e676207c5d043dc.parquet",
-      "sha256": "3e676207c5d043dcd790e92891e3be7d784d2643a43893f1cdec06953b88bd9d",
-      "bytes": 245660,
-      "rows": 72,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/mathlib-001112-0000-28c5a84e846ad498.parquet",
-      "sha256": "28c5a84e846ad49808a14df5dfc95c866259f99ff4f028bdf85048edd1a6dc7b",
-      "bytes": 63586,
-      "rows": 11,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001112-0000-f6533645740ecc4f.parquet",
-      "sha256": "f6533645740ecc4fc578bce25145c757ea982b8eb4e1266a051d654e2146e288",
-      "bytes": 72639,
-      "rows": 16,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Flow.isInvariant_omegaLimit",
     "mathlib:Flow.omegaLimit_image_eq",
@@ -3004,5 +2981,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/PeriodicPts.lean\",null,null,\"MulAction.zpow_period_add_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/PeriodicPts.lean\",null,null,\"MulAction.zpow_smul_eq_iff_minimalPeriod_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Dynamics/PeriodicPts.lean\",null,null,\"MulAction.zpow_smul_mod_minimalPeriod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245660,
+      "path": "data/train/p36/mathlib-001112-0000-3e676207c5d043dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 72,
+      "sha256": "3e676207c5d043dcd790e92891e3be7d784d2643a43893f1cdec06953b88bd9d"
+    },
+    {
+      "bytes": 63586,
+      "path": "data/dev/p36/mathlib-001112-0000-28c5a84e846ad498.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "28c5a84e846ad49808a14df5dfc95c866259f99ff4f028bdf85048edd1a6dc7b"
+    },
+    {
+      "bytes": 72639,
+      "path": "data/internal_test/p36/mathlib-001112-0000-f6533645740ecc4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f6533645740ecc4fc578bce25145c757ea982b8eb4e1266a051d654e2146e288"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001113.json b/manifests/batches/mathlib/001113.json
index 8d3c0c414c6773c0eb038341de065c80d5fbda81..e15162b0d52e2c19ed501c103a68c177ad867d17 100644
--- a/manifests/batches/mathlib/001113.json
+++ b/manifests/batches/mathlib/001113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001113",
   "batch_fingerprint": "c3bf216df5893a731495a4f3483a385d1a2ceb0b1120b480e9a8521004a8335e",
   "evidence": {
@@ -5813,29 +5812,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001113-0000-68335c39ce2d8b87.parquet",
-      "sha256": "68335c39ce2d8b87c0fc02c0fd2b56d6a8ad63f77e7db23adea5ab13ca31a92f",
-      "bytes": 355243,
-      "rows": 96,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/dev/mathlib-001113-0000-3297081aeeebf285.parquet",
-      "sha256": "3297081aeeebf2851fba7acb1bf38d7c474cc26b9f6d3bedfb4f3ca276a112c8",
-      "bytes": 44979,
-      "rows": 5,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    },
-    {
-      "path": "data/internal_test/mathlib-001113-0000-5ef19561ce5514b9.parquet",
-      "sha256": "5ef19561ce5514b97a968171197a6efd81f2e43cc0d0ae861ac0a945a3e1fcd3",
-      "bytes": 76204,
-      "rows": 15,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AdjoinRoot.algEquivOfAssociated_apply_root",
     "mathlib:AdjoinRoot.algEquivOfAssociated_toAlgHom",
@@ -5965,5 +5942,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Adjoin.lean\",null,null,\"isSplittingField_iff_intermediateField\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Adjoin.lean\",null,null,\"minpoly.algEquiv_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Adjoin.lean\",null,null,\"minpoly.eq_of_root\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355243,
+      "path": "data/train/p45/mathlib-001113-0000-68335c39ce2d8b87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "68335c39ce2d8b87c0fc02c0fd2b56d6a8ad63f77e7db23adea5ab13ca31a92f"
+    },
+    {
+      "bytes": 44979,
+      "path": "data/dev/p45/mathlib-001113-0000-3297081aeeebf285.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3297081aeeebf2851fba7acb1bf38d7c474cc26b9f6d3bedfb4f3ca276a112c8"
+    },
+    {
+      "bytes": 76204,
+      "path": "data/internal_test/p45/mathlib-001113-0000-5ef19561ce5514b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5ef19561ce5514b97a968171197a6efd81f2e43cc0d0ae861ac0a945a3e1fcd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001114.json b/manifests/batches/mathlib/001114.json
index 1e11553a5141a460e2d6533b5ae54008ca3c8777..3fedddc437d766dea0d6fff0a2bb49521b0376af 100644
--- a/manifests/batches/mathlib/001114.json
+++ b/manifests/batches/mathlib/001114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001114",
   "batch_fingerprint": "1cc09a8d25f49ffe3f635c8530ba3f952e4f2f371dab97a680e5bb03dcec4f62",
   "evidence": {
@@ -402,19 +401,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001114-0000-bff74fb361a09a4b.parquet",
-      "sha256": "bff74fb361a09a4be0666d95391a86fffeb001718bf1b334fbfd927302ae3b77",
-      "bytes": 58808,
-      "rows": 4,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fintype.nonempty_field_iff"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Cardinality.lean\",null,null,\"Fintype.nonempty_field_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58808,
+      "path": "data/train/pa4/mathlib-001114-0000-bff74fb361a09a4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bff74fb361a09a4be0666d95391a86fffeb001718bf1b334fbfd927302ae3b77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001115.json b/manifests/batches/mathlib/001115.json
index 8cc006ed1d09bf53d7735ce5a4d806a3fe1d0496..b4d11f56df5ca2e712ac119d0adf23d3d4a83c4e 100644
--- a/manifests/batches/mathlib/001115.json
+++ b/manifests/batches/mathlib/001115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001115",
   "batch_fingerprint": "9ceba908028ff7081b1306fbd68109942018ecca440f770ccdbd3a7864aa8059",
   "evidence": {
@@ -1157,22 +1156,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001115-0000-f4d81be334b4cc99.parquet",
-      "sha256": "f4d81be334b4cc99f22ed8903507518f0cfe001cf7bb68946538ed32a6f3215f",
-      "bytes": 124167,
-      "rows": 15,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001115-0000-db726898bf7f60b8.parquet",
-      "sha256": "db726898bf7f60b836493a2ee136d8de90bc88ad7177df6a5d1ff9dd6915e889",
-      "bytes": 59177,
-      "rows": 5,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.IsAlgebraic.range_eval_eq_rootSet_minpoly_of_splits",
     "mathlib:IntermediateField.Lifts.exists_lift_of_splits",
@@ -1190,5 +1174,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Extension.lean\",null,null,\"IntermediateField.Lifts.exists_lift_of_splits\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Extension.lean\",null,null,\"IntermediateField.Lifts.exists_lift_of_splits'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Extension.lean\",null,null,\"IntermediateField.exists_algHom_adjoin_of_splits_of_aeval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124167,
+      "path": "data/train/pfd/mathlib-001115-0000-f4d81be334b4cc99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f4d81be334b4cc99f22ed8903507518f0cfe001cf7bb68946538ed32a6f3215f"
+    },
+    {
+      "bytes": 59177,
+      "path": "data/internal_test/pfd/mathlib-001115-0000-db726898bf7f60b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "db726898bf7f60b836493a2ee136d8de90bc88ad7177df6a5d1ff9dd6915e889"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001116.json b/manifests/batches/mathlib/001116.json
index 8c679501ed635b69bdc9f6a2beff7b26f68bf4b8..ed9a0cec6852f7cc565d77329ccbda49977d2029 100644
--- a/manifests/batches/mathlib/001116.json
+++ b/manifests/batches/mathlib/001116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001116",
   "batch_fingerprint": "55e6e8f91e622abcb8c02ad40041cf65017b81b5f6c8684e756578a764b696d7",
   "evidence": {
@@ -3172,29 +3171,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001116-0000-56e777dd9e8099d1.parquet",
-      "sha256": "56e777dd9e8099d13fe10404d9871c93e4a63504f1e263c5a30aa6e06db41bdd",
-      "bytes": 178368,
-      "rows": 40,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001116-0000-2c11db756fca40b1.parquet",
-      "sha256": "2c11db756fca40b10f32ec16602f6a1f940038847dc3053d1f0e3085a605af1b",
-      "bytes": 46447,
-      "rows": 2,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001116-0000-cec905d94c9b6f6c.parquet",
-      "sha256": "cec905d94c9b6f6cec835ca00f4fc084bc79b8c68730fffb584d147b0232c797",
-      "bytes": 35003,
-      "rows": 6,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharP.sq_add_sq",
     "mathlib:FiniteField.card_image_polynomial_eval",
@@ -3234,5 +3211,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/Basic.lean\",null,null,\"card_eq_pow_finrank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/GaloisField.lean\",null,null,\"GaloisField.card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/GaloisField.lean\",null,null,\"galois_poly_separable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178368,
+      "path": "data/train/p5c/mathlib-001116-0000-56e777dd9e8099d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "56e777dd9e8099d13fe10404d9871c93e4a63504f1e263c5a30aa6e06db41bdd"
+    },
+    {
+      "bytes": 46447,
+      "path": "data/dev/p5c/mathlib-001116-0000-2c11db756fca40b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2c11db756fca40b10f32ec16602f6a1f940038847dc3053d1f0e3085a605af1b"
+    },
+    {
+      "bytes": 35003,
+      "path": "data/internal_test/p5c/mathlib-001116-0000-cec905d94c9b6f6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cec905d94c9b6f6cec835ca00f4fc084bc79b8c68730fffb584d147b0232c797"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001117.json b/manifests/batches/mathlib/001117.json
index d9b483a8c0fabe887927c573d1423302e63182a6..08a850f67eb599d776ef5f21ab6d8ee4b55dded5 100644
--- a/manifests/batches/mathlib/001117.json
+++ b/manifests/batches/mathlib/001117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001117",
   "batch_fingerprint": "a4e489849a86aeed6ccc0aa26f2e138a76fcdfc146bcbb238040c2c9f0f05527",
   "evidence": {
@@ -673,22 +672,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001117-0000-de734a7374b49085.parquet",
-      "sha256": "de734a7374b49085d2df378e2aaebd5a9ac1ce99b60c3828a6a24a34cf667452",
-      "bytes": 83764,
-      "rows": 10,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001117-0000-8b6b6b46be27d9c8.parquet",
-      "sha256": "8b6b6b46be27d9c8b16808c9ec910912a004eac8c832449fbbe8bb17cc683aa2",
-      "bytes": 60534,
-      "rows": 4,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FiniteField.trace_to_zmod_nondegenerate",
     "mathlib:MvPolynomial.eq_zero_of_eval_eq_zero",
@@ -702,5 +686,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/Polynomial.lean\",null,null,\"MvPolynomial.ker_eval\u2097\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/Polynomial.lean\",null,null,\"MvPolynomial.range_eval\u1d62\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Finite/Trace.lean\",null,null,\"FiniteField.trace_to_zmod_nondegenerate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83764,
+      "path": "data/train/p1f/mathlib-001117-0000-de734a7374b49085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "de734a7374b49085d2df378e2aaebd5a9ac1ce99b60c3828a6a24a34cf667452"
+    },
+    {
+      "bytes": 60534,
+      "path": "data/internal_test/p1f/mathlib-001117-0000-8b6b6b46be27d9c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8b6b6b46be27d9c8b16808c9ec910912a004eac8c832449fbbe8bb17cc683aa2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001118.json b/manifests/batches/mathlib/001118.json
index b986ee4dcbf690816d07d61b1c94bbced487197b..9b601cd83ae094196aa948af24a4ce38b4ab65b9 100644
--- a/manifests/batches/mathlib/001118.json
+++ b/manifests/batches/mathlib/001118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001118",
   "batch_fingerprint": "57c1df8f124230b561ab7f4ab0b07cc667e8a7b661d48685dd5907f1ba2e6e96",
   "evidence": {
@@ -880,22 +879,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001118-0000-6a297f6cd34ec40b.parquet",
-      "sha256": "6a297f6cd34ec40bb112bdddf97c9e6cd5e4c8dc2526c3986af6767b7c210450",
-      "bytes": 95500,
-      "rows": 13,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001118-0000-f7084de367e58e46.parquet",
-      "sha256": "f7084de367e58e468c9b387ca4998e4ba9ff041f6093603b6ba3e91a2d51ce4f",
-      "bytes": 51803,
-      "rows": 3,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FixedPoints.finrank_le_card",
     "mathlib:FixedPoints.isIntegral",
@@ -915,5 +899,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Fixed.lean\",null,null,\"FixedPoints.minpoly.ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Fixed.lean\",null,null,\"FixedPoints.minpoly.of_eval\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Fixed.lean\",null,null,\"FixedPoints.rank_le_card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95500,
+      "path": "data/train/pf7/mathlib-001118-0000-6a297f6cd34ec40b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6a297f6cd34ec40bb112bdddf97c9e6cd5e4c8dc2526c3986af6767b7c210450"
+    },
+    {
+      "bytes": 51803,
+      "path": "data/internal_test/pf7/mathlib-001118-0000-f7084de367e58e46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f7084de367e58e468c9b387ca4998e4ba9ff041f6093603b6ba3e91a2d51ce4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001119.json b/manifests/batches/mathlib/001119.json
index cce32d9ad27dd819f5192fc6e580c4a389e31275..658c1c50bc5049136726c48b1377cbf152f83809 100644
--- a/manifests/batches/mathlib/001119.json
+++ b/manifests/batches/mathlib/001119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001119",
   "batch_fingerprint": "f06f0ce5f85b618b610940d69d2f63adf6430ab211f04c6558453fd6c8d0b0d5",
   "evidence": {
@@ -3371,29 +3370,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001119-0000-f002be0fac4976da.parquet",
-      "sha256": "f002be0fac4976dafd0543067e3e0cf8b40888810c680797c345f80ecfeea3bd",
-      "bytes": 164289,
-      "rows": 38,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001119-0000-ad82e4edc54bb126.parquet",
-      "sha256": "ad82e4edc54bb12631788848315378e7355389ec5de6ae9d328df78d0eb0f43c",
-      "bytes": 35407,
-      "rows": 1,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001119-0000-0b3bd02d976977bc.parquet",
-      "sha256": "0b3bd02d976977bc1c047ad59779cc701bdb9d1109279661ee61468b674684b8",
-      "bytes": 40674,
-      "rows": 1,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IntermediateField.eq_of_le_of_finrank_le'",
     "mathlib:IntermediateField.eq_of_le_of_finrank_le''",
@@ -3431,5 +3408,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IntermediateField.lean\",null,null,\"toIntermediateField_toSubalgebra\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IntermediateField.lean\",null,null,\"toSubalgebra_toIntermediateField\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IntermediateField.lean\",null,null,\"toSubalgebra_toIntermediateField'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164289,
+      "path": "data/train/p44/mathlib-001119-0000-f002be0fac4976da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "f002be0fac4976dafd0543067e3e0cf8b40888810c680797c345f80ecfeea3bd"
+    },
+    {
+      "bytes": 35407,
+      "path": "data/dev/p44/mathlib-001119-0000-ad82e4edc54bb126.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ad82e4edc54bb12631788848315378e7355389ec5de6ae9d328df78d0eb0f43c"
+    },
+    {
+      "bytes": 40674,
+      "path": "data/internal_test/p44/mathlib-001119-0000-0b3bd02d976977bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0b3bd02d976977bc1c047ad59779cc701bdb9d1109279661ee61468b674684b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001120.json b/manifests/batches/mathlib/001120.json
index a266ed6ebd5367472dae49ee4661ce564da0ba0d..aba73095cda9064b416bfacb39f708cf6e87200f 100644
--- a/manifests/batches/mathlib/001120.json
+++ b/manifests/batches/mathlib/001120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001120",
   "batch_fingerprint": "ae04738aa67136bf9056a901426a2c2816eff6d652fadfb1c5bef4d5f723025f",
   "evidence": {
@@ -1808,15 +1807,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001120-0000-ddca100a547fc903.parquet",
-      "sha256": "ddca100a547fc903edcca7c5c29e2d22bed6600b0d828bcb04f0e89d1a87a2ca",
-      "bytes": 83656,
-      "rows": 13,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IntermediateField.eq_bot_of_isAlgClosed_of_isAlgebraic",
     "mathlib:IsAlgClosed.algebraMap_surjective_of_isIntegral",
@@ -1830,5 +1821,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Basic.lean\",null,null,\"IsAlgClosed.exists_eq_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Basic.lean\",null,null,\"IsAlgClosed.splits_codomain\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Basic.lean\",null,null,\"IsAlgClosure.equivOfEquiv_symm_algebraMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83656,
+      "path": "data/train/p77/mathlib-001120-0000-ddca100a547fc903.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ddca100a547fc903edcca7c5c29e2d22bed6600b0d828bcb04f0e89d1a87a2ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001121.json b/manifests/batches/mathlib/001121.json
index f598e04cb19d021bc43e548057361ab8c84e0a00..0f602e5be62d78a273f938c32887235eb70e384f 100644
--- a/manifests/batches/mathlib/001121.json
+++ b/manifests/batches/mathlib/001121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001121",
   "batch_fingerprint": "07819b737a8a7a15267de4f811c4aa65c8c9a766036b9e8e5170dfe5a3cc6242",
   "evidence": {
@@ -1038,22 +1037,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001121-0000-a928e5d4c7447898.parquet",
-      "sha256": "a928e5d4c744789840979b8110846540fd0b0438259738307f8521b6dea376e5",
-      "bytes": 48657,
-      "rows": 6,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001121-0000-75d173f15ff038f2.parquet",
-      "sha256": "75d173f15ff038f2e2683168fb0d6c34828999ae08df1727dd264da88f975247",
-      "bytes": 38333,
-      "rows": 1,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsAlgClosed.isAlgClosure_of_transcendence_basis",
     "mathlib:spectrum.map_polynomial_aeval_of_nonempty",
@@ -1065,5 +1049,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Spectrum.lean\",null,null,\"spectrum.map_polynomial_aeval_of_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Spectrum.lean\",null,null,\"spectrum.map_pow_of_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsAlgClosed/Spectrum.lean\",null,null,\"spectrum.pow_image_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48657,
+      "path": "data/train/pf8/mathlib-001121-0000-a928e5d4c7447898.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a928e5d4c744789840979b8110846540fd0b0438259738307f8521b6dea376e5"
+    },
+    {
+      "bytes": 38333,
+      "path": "data/dev/pf8/mathlib-001121-0000-75d173f15ff038f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "75d173f15ff038f2e2683168fb0d6c34828999ae08df1727dd264da88f975247"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001122.json b/manifests/batches/mathlib/001122.json
index 0135865deec90e9f0e46d6e0a55c975649012094..2c454b21b267aa50c703eb5ffeeebeb0e9672750 100644
--- a/manifests/batches/mathlib/001122.json
+++ b/manifests/batches/mathlib/001122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001122",
   "batch_fingerprint": "fbadff91b338b8cdadcae1d1d53a1b824f556e91b3585e9fe99da883f75e85d4",
   "evidence": {
@@ -1885,29 +1884,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001122-0000-232cfcfa90d1e50d.parquet",
-      "sha256": "232cfcfa90d1e50de4c60ddd6fe808af4583f8d7a1dc18f63d13af1c7485af1c",
-      "bytes": 129284,
-      "rows": 27,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001122-0000-a83585ded81e6993.parquet",
-      "sha256": "a83585ded81e6993ea6fbe1edc8088654c22d2407323bfbef3668fbc9753f261",
-      "bytes": 54338,
-      "rows": 2,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001122-0000-4fd14f02db3cdf9b.parquet",
-      "sha256": "4fd14f02db3cdf9beb0094f7402f0aded85a1fcba9ec4436966e6a0df88a075f",
-      "bytes": 81476,
-      "rows": 12,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IntermediateField.eq_bot_of_isSepClosed_of_isSeparable",
     "mathlib:IsPRadical.injective_comp_of_pNilradical_eq_bot",
@@ -1945,5 +1922,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsSepClosed.lean\",null,null,\"IsSepClosed.algebraMap_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsSepClosed.lean\",null,null,\"IsSepClosed.exists_eq_mul_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/IsSepClosed.lean\",null,null,\"IsSepClosed.splits_codomain\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129284,
+      "path": "data/train/p3f/mathlib-001122-0000-232cfcfa90d1e50d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "232cfcfa90d1e50de4c60ddd6fe808af4583f8d7a1dc18f63d13af1c7485af1c"
+    },
+    {
+      "bytes": 54338,
+      "path": "data/dev/p3f/mathlib-001122-0000-a83585ded81e6993.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a83585ded81e6993ea6fbe1edc8088654c22d2407323bfbef3668fbc9753f261"
+    },
+    {
+      "bytes": 81476,
+      "path": "data/internal_test/p3f/mathlib-001122-0000-4fd14f02db3cdf9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4fd14f02db3cdf9beb0094f7402f0aded85a1fcba9ec4436966e6a0df88a075f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001123.json b/manifests/batches/mathlib/001123.json
index 36a1a43092e8a66113200aca2e21c72349b1985b..8d27499cf6645eef4a3eab94f301d1f5f3f73cc3 100644
--- a/manifests/batches/mathlib/001123.json
+++ b/manifests/batches/mathlib/001123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001123",
   "batch_fingerprint": "461ad6d2085fe1b71d206e94d4908366b9f954a30bc970d6e32bf222a171be59",
   "evidence": {
@@ -3004,22 +3003,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001123-0000-4f72ce761bfaac88.parquet",
-      "sha256": "4f72ce761bfaac88daa9dcf20eae8d1a089ff34eb140a5418eba0433049ab7c5",
-      "bytes": 90277,
-      "rows": 13,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001123-0000-1c23a6e9892cc778.parquet",
-      "sha256": "1c23a6e9892cc778aa92c4d393647883715957ed00eca064ade247d2bbdbfcb6",
-      "bytes": 42117,
-      "rows": 2,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IntermediateField.fixingSubgroup.antimono",
     "mathlib:IntermediateField.fixingSubgroup.bot",
@@ -3033,5 +3017,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/KrullTopology.lean\",null,null,\"IntermediateField.fixingSubgroup_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/KrullTopology.lean\",null,null,\"IntermediateField.fixingSubgroup_isOpen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/KrullTopology.lean\",null,null,\"IntermediateField.fixingSubgroup_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90277,
+      "path": "data/train/p54/mathlib-001123-0000-4f72ce761bfaac88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4f72ce761bfaac88daa9dcf20eae8d1a089ff34eb140a5418eba0433049ab7c5"
+    },
+    {
+      "bytes": 42117,
+      "path": "data/internal_test/p54/mathlib-001123-0000-1c23a6e9892cc778.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1c23a6e9892cc778aa92c4d393647883715957ed00eca064ade247d2bbdbfcb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001124.json b/manifests/batches/mathlib/001124.json
index 8b5480804a47c08871d46a2b37a63c985446a934..d865e70033318f1dabf398bf59832dda51e90d24 100644
--- a/manifests/batches/mathlib/001124.json
+++ b/manifests/batches/mathlib/001124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001124",
   "batch_fingerprint": "6faa62774bea0e2b85d3796c25f84fa54d276183e897d720b16e6c98ca514ba4",
   "evidence": {
@@ -1297,22 +1296,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001124-0000-bd747a342673a57f.parquet",
-      "sha256": "bd747a342673a57f03761d1c98f9b6bcc3903ca9d320a45adca40d30bbf7a43f",
-      "bytes": 109069,
-      "rows": 26,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001124-0000-2e7e03d324caff12.parquet",
-      "sha256": "2e7e03d324caff123f49c6b9e19e9dccb8dd4d6ad3598d0f3b997b6f2a8f56d3",
-      "bytes": 47476,
-      "rows": 4,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RatFunc.laurentAux_algebraMap",
     "mathlib:RatFunc.laurentAux_div",
@@ -1344,5 +1328,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/Basic.lean\",null,null,\"minpoly.natDegree_eq_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/Basic.lean\",null,null,\"minpoly.ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/Basic.lean\",null,null,\"minpoly.two_le_natDegree_subalgebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109069,
+      "path": "data/train/pd0/mathlib-001124-0000-bd747a342673a57f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "bd747a342673a57f03761d1c98f9b6bcc3903ca9d320a45adca40d30bbf7a43f"
+    },
+    {
+      "bytes": 47476,
+      "path": "data/dev/pd0/mathlib-001124-0000-2e7e03d324caff12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2e7e03d324caff123f49c6b9e19e9dccb8dd4d6ad3598d0f3b997b6f2a8f56d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001125.json b/manifests/batches/mathlib/001125.json
index 0e4cb3da70509f316a7c08748583d65171c8043d..792a03e5539de3718498ae35d18393eb6ad6eb15 100644
--- a/manifests/batches/mathlib/001125.json
+++ b/manifests/batches/mathlib/001125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001125",
   "batch_fingerprint": "8e4b7c1cb8920b49e8eb932ad2380c80cd48e99cdf5b7023ebcf8d352d1a74b6",
   "evidence": {
@@ -1299,29 +1298,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001125-0000-897236b0246dd1c7.parquet",
-      "sha256": "897236b0246dd1c79e0232b00521b5384bd61bc2c32650a632801d0e5ebe1467",
-      "bytes": 185585,
-      "rows": 33,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/mathlib-001125-0000-0cf43899d228f52f.parquet",
-      "sha256": "0cf43899d228f52ff0486ab6350ebee862578c3b34844a26cedf7b00fd21f506",
-      "bytes": 63087,
-      "rows": 2,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001125-0000-c06a4206a66cb287.parquet",
-      "sha256": "c06a4206a66cb28723d394d5f32cbaf138402b96beac096dc5a66cf7621aa2e0",
-      "bytes": 50427,
-      "rows": 2,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.adjoin.powerBasis'_gen",
     "mathlib:PowerBasis.ofGenMemAdjoin'_gen",
@@ -1363,5 +1340,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean\",null,null,\"minpoly.isIntegrallyClosed_eq_field_fractions'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean\",null,null,\"minpoly.ker_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean\",null,null,\"minpoly.prime_of_isIntegrallyClosed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185585,
+      "path": "data/train/p0d/mathlib-001125-0000-897236b0246dd1c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "897236b0246dd1c79e0232b00521b5384bd61bc2c32650a632801d0e5ebe1467"
+    },
+    {
+      "bytes": 63087,
+      "path": "data/dev/p0d/mathlib-001125-0000-0cf43899d228f52f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0cf43899d228f52ff0486ab6350ebee862578c3b34844a26cedf7b00fd21f506"
+    },
+    {
+      "bytes": 50427,
+      "path": "data/internal_test/p0d/mathlib-001125-0000-c06a4206a66cb287.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c06a4206a66cb28723d394d5f32cbaf138402b96beac096dc5a66cf7621aa2e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001126.json b/manifests/batches/mathlib/001126.json
index 0f1b914b2703fa7a3851e31ba72ccc5cf89cbd43..5a5612930bb587061943e04478e1b1e3ca602561 100644
--- a/manifests/batches/mathlib/001126.json
+++ b/manifests/batches/mathlib/001126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001126",
   "batch_fingerprint": "ffd27e33e5c573b7d1e877f25adf980f04f674c165d0c1d96a68c9b416cbc3ba",
   "evidence": {
@@ -925,22 +924,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001126-0000-1f56b8fced48edc9.parquet",
-      "sha256": "1f56b8fced48edc974bd4282e924bc4bf57eb5f30cdadf793ce5628740c8ce72",
-      "bytes": 114727,
-      "rows": 22,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001126-0000-fd2188bc71653c0f.parquet",
-      "sha256": "fd2188bc71653c0fc08dbd32ef0796a4ca418255e320e06b5ca04f4f1643bf7f",
-      "bytes": 55402,
-      "rows": 2,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.quotient_mk_comp_C_injective",
     "mathlib:MvPolynomial.rank_mvPolynomial",
@@ -964,5 +948,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Minpoly/MinpolyDiv.lean\",null,null,\"natDegree_minpolyDiv_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/MvPolynomial.lean\",null,null,\"MvPolynomial.quotient_mk_comp_C_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/MvPolynomial.lean\",null,null,\"MvPolynomial.rank_mvPolynomial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114727,
+      "path": "data/train/p98/mathlib-001126-0000-1f56b8fced48edc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "1f56b8fced48edc974bd4282e924bc4bf57eb5f30cdadf793ce5628740c8ce72"
+    },
+    {
+      "bytes": 55402,
+      "path": "data/internal_test/p98/mathlib-001126-0000-fd2188bc71653c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fd2188bc71653c0fc08dbd32ef0796a4ca418255e320e06b5ca04f4f1643bf7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001127.json b/manifests/batches/mathlib/001127.json
index c85e832ec3dd00c08f3190da2fb75921f1003231..9f3f5cf906159dda87d9bf0ebb20c3bd0c4828c6 100644
--- a/manifests/batches/mathlib/001127.json
+++ b/manifests/batches/mathlib/001127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001127",
   "batch_fingerprint": "85c7b111b5e83bfc9986474825449ba02dc16a53e3f22c36e5130f7bd1a606c8",
   "evidence": {
@@ -1304,29 +1303,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001127-0000-4f2d8cf615b21b64.parquet",
-      "sha256": "4f2d8cf615b21b64c59ffa3a72422d0f0a0bf01403c3d2a78533e347e11f6d5a",
-      "bytes": 119893,
-      "rows": 29,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001127-0000-8241478c5083d287.parquet",
-      "sha256": "8241478c5083d287da574f065ee5666a733963c8a528c5799e36b0b503e3be91",
-      "bytes": 44701,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001127-0000-f84aa554df435fef.parquet",
-      "sha256": "f84aa554df435fefc7b4e7b19b52d89619cd0413172f48cc9ba4d7726d7aaea1",
-      "bytes": 96777,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgEquiv.restrictNormal_trans",
     "mathlib:AlgHom.fieldRange_of_normal",
@@ -1362,5 +1339,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/NormalClosure.lean\",null,null,\"IntermediateField.normal_iff_forall_map_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/NormalClosure.lean\",null,null,\"IntermediateField.normal_iff_forall_map_le'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/NormalClosure.lean\",null,null,\"normalClosure_eq_iSup_adjoin'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119893,
+      "path": "data/train/p4c/mathlib-001127-0000-4f2d8cf615b21b64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4f2d8cf615b21b64c59ffa3a72422d0f0a0bf01403c3d2a78533e347e11f6d5a"
+    },
+    {
+      "bytes": 44701,
+      "path": "data/dev/p4c/mathlib-001127-0000-8241478c5083d287.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8241478c5083d287da574f065ee5666a733963c8a528c5799e36b0b503e3be91"
+    },
+    {
+      "bytes": 96777,
+      "path": "data/internal_test/p4c/mathlib-001127-0000-f84aa554df435fef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f84aa554df435fefc7b4e7b19b52d89619cd0413172f48cc9ba4d7726d7aaea1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001128.json b/manifests/batches/mathlib/001128.json
index f4174ef96078babdf680da65ab5a9bf405d200e0..51df6c0b11c55319bb1c7c76d9cc176d68b44861 100644
--- a/manifests/batches/mathlib/001128.json
+++ b/manifests/batches/mathlib/001128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001128",
   "batch_fingerprint": "325350b294db5ba50259d417c7456b48222749f3e9b27b1a8c45343b14767e9b",
   "evidence": {
@@ -2071,29 +2070,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001128-0000-4ab73022c432b06c.parquet",
-      "sha256": "4ab73022c432b06cdedd3abdd6b200db9f5458b1a89b85ab671ec9d483eea0cd",
-      "bytes": 104054,
-      "rows": 29,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001128-0000-dcf0eb23c9fca852.parquet",
-      "sha256": "dcf0eb23c9fca85282a10cd9b53b7b2adfe4c548c90c70957199376cc9de97ee",
-      "bytes": 36235,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001128-0000-87dff0a61a3b8fc4.parquet",
-      "sha256": "87dff0a61a3b8fc4173357ff9ef33c3b6b0fc8b58d869ce9fcaf349a959e6980",
-      "bytes": 71075,
-      "rows": 5,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.IsAlgebraic.perfectField",
     "mathlib:Polynomial.roots_X_pow_char_pow_sub_C",
@@ -2139,5 +2116,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Perfect.lean\",null,null,\"iterateFrobeniusEquiv_zero_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Perfect.lean\",null,null,\"not_irreducible_expand\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Perfect.lean\",null,null,\"polynomial_expand_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104054,
+      "path": "data/train/p6d/mathlib-001128-0000-4ab73022c432b06c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4ab73022c432b06cdedd3abdd6b200db9f5458b1a89b85ab671ec9d483eea0cd"
+    },
+    {
+      "bytes": 36235,
+      "path": "data/dev/p6d/mathlib-001128-0000-dcf0eb23c9fca852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dcf0eb23c9fca85282a10cd9b53b7b2adfe4c548c90c70957199376cc9de97ee"
+    },
+    {
+      "bytes": 71075,
+      "path": "data/internal_test/p6d/mathlib-001128-0000-87dff0a61a3b8fc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "87dff0a61a3b8fc4173357ff9ef33c3b6b0fc8b58d869ce9fcaf349a959e6980"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001129.json b/manifests/batches/mathlib/001129.json
index 2100bf8dc2a97da025a944c9a7f7d38dcfa693da..3061e15006df6f1a76ebf235f3127a8dc2ceed23 100644
--- a/manifests/batches/mathlib/001129.json
+++ b/manifests/batches/mathlib/001129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001129",
   "batch_fingerprint": "c7e89a0bfed704fa3284ed26d2a0543ca5691d9516bfa330017bee24b21ac371",
   "evidence": {
@@ -2456,22 +2455,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001129-0000-5187dafa70efc8d6.parquet",
-      "sha256": "5187dafa70efc8d6b0e611a1b85e383b1d78c2c4784eeed2aa106a82a6f2b811",
-      "bytes": 276522,
-      "rows": 47,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001129-0000-4d82f8f78e4e4597.parquet",
-      "sha256": "4d82f8f78e4e4597763270d3e47c40433ad63edb0c00938c8812b2225ad89d0c",
-      "bytes": 52912,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.card",
     "mathlib:AlgHom.card_of_splits",
@@ -2501,5 +2485,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/PrimitiveElement.lean\",null,null,\"Field.primitive_element_iff_minpoly_degree_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/PrimitiveElement.lean\",null,null,\"Field.primitive_element_iff_minpoly_natDegree_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/PrimitiveElement.lean\",null,null,\"Field.primitive_element_inf_aux_exists_c\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276522,
+      "path": "data/train/p3d/mathlib-001129-0000-5187dafa70efc8d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "5187dafa70efc8d6b0e611a1b85e383b1d78c2c4784eeed2aa106a82a6f2b811"
+    },
+    {
+      "bytes": 52912,
+      "path": "data/dev/p3d/mathlib-001129-0000-4d82f8f78e4e4597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d82f8f78e4e4597763270d3e47c40433ad63edb0c00938c8812b2225ad89d0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001130.json b/manifests/batches/mathlib/001130.json
index 3c57861c6156a8081e3e0a7c3d8c0ffd0cbdc343..f49fcc5d258850c7cf2a80da0b1735b438c879a7 100644
--- a/manifests/batches/mathlib/001130.json
+++ b/manifests/batches/mathlib/001130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001130",
   "batch_fingerprint": "d252956139b5e5f539319b41cb0697d20523b9f8f46806af98c05c61ed3a9c85",
   "evidence": {
@@ -2735,29 +2734,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001130-0000-e94694bd9dcdf585.parquet",
-      "sha256": "e94694bd9dcdf585f9bb0bf9cfaf9118db4b7a48a3a5d0157d89514ad1084d4e",
-      "bytes": 382819,
-      "rows": 96,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001130-0000-7d29df4820722e73.parquet",
-      "sha256": "7d29df4820722e73aead58c273ff83fd05a1c9314c4f53b109e66016722790c6",
-      "bytes": 68161,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001130-0000-7952ca90e11eab67.parquet",
-      "sha256": "7952ca90e11eab6778b293c2957a72f4d88bce9696bfd3693a678f4be790bd8b",
-      "bytes": 105915,
-      "rows": 21,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Field.finSepDegree_eq",
     "mathlib:Field.rank_mul_sepDegree_of_isSeparable",
@@ -2841,5 +2818,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/AsPolynomial.lean\",null,null,\"RatFunc.eval_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/AsPolynomial.lean\",null,null,\"RatFunc.eval_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/AsPolynomial.lean\",null,null,\"RatFunc.smul_eq_C_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382819,
+      "path": "data/train/pfa/mathlib-001130-0000-e94694bd9dcdf585.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "e94694bd9dcdf585f9bb0bf9cfaf9118db4b7a48a3a5d0157d89514ad1084d4e"
+    },
+    {
+      "bytes": 68161,
+      "path": "data/dev/pfa/mathlib-001130-0000-7d29df4820722e73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7d29df4820722e73aead58c273ff83fd05a1c9314c4f53b109e66016722790c6"
+    },
+    {
+      "bytes": 105915,
+      "path": "data/internal_test/pfa/mathlib-001130-0000-7952ca90e11eab67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7952ca90e11eab6778b293c2957a72f4d88bce9696bfd3693a678f4be790bd8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001131.json b/manifests/batches/mathlib/001131.json
index c9e93165fb4e372bb14f2d19e2e7e884a0e03c55..abc3520e421634b364a40b3377f79c89c3e8cbb2 100644
--- a/manifests/batches/mathlib/001131.json
+++ b/manifests/batches/mathlib/001131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001131",
   "batch_fingerprint": "947c1c5a40ed247010ec81846a7765fe59086102e045bfcd61ad555b455a44af",
   "evidence": {
@@ -3282,15 +3281,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001131-0000-14a3ab2ecdb902c5.parquet",
-      "sha256": "14a3ab2ecdb902c5569292c26926675ae5d6aad121714ef9c7ae40376c637c6f",
-      "bytes": 70339,
-      "rows": 14,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RatFunc.induction_on'",
     "mathlib:RatFunc.liftOn'_mk",
@@ -3316,5 +3307,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/Defs.lean\",null,null,\"RatFunc.mk_one'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/Defs.lean\",null,null,\"RatFunc.mk_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/RatFunc/Defs.lean\",null,null,\"RatFunc.toFractionRing_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70339,
+      "path": "data/train/pe7/mathlib-001131-0000-14a3ab2ecdb902c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "14a3ab2ecdb902c5569292c26926675ae5d6aad121714ef9c7ae40376c637c6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001132.json b/manifests/batches/mathlib/001132.json
index 76e5f561050cde73ae445d6a29bbcd60ff2353bb..841f2f5e8eeda364ea761084903f140f1a0ee689 100644
--- a/manifests/batches/mathlib/001132.json
+++ b/manifests/batches/mathlib/001132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001132",
   "batch_fingerprint": "3518b2612cb39d94372a509897593ddc16dd02d57d9e24a4e1f3d330726d625d",
   "evidence": {
@@ -1943,29 +1942,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001132-0000-71f3451fe2be7386.parquet",
-      "sha256": "71f3451fe2be7386c417b280f8b7361b37d7402039297e4eb7b2b15c0bf23fcc",
-      "bytes": 304947,
-      "rows": 78,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001132-0000-0b9e68763345b108.parquet",
-      "sha256": "0b9e68763345b108c803cb4fb9e0e7f1a121163e8ddc9252df20e0b84b3540ae",
-      "bytes": 54656,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001132-0000-af9780e9ff599678.parquet",
-      "sha256": "af9780e9ff599678dad54668fc26e8c9e4c37326167b20fa2904bfb4c703ff6b",
-      "bytes": 76517,
-      "rows": 16,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgEquiv.isSeparable",
     "mathlib:AlgHom.card_of_powerBasis",
@@ -2049,5 +2026,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Separable.lean\",null,null,\"Polynomial.separable_prod'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Separable.lean\",null,null,\"Polynomial.separable_prod_X_sub_C_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/Separable.lean\",null,null,\"Polynomial.separable_prod_X_sub_C_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304947,
+      "path": "data/train/pf1/mathlib-001132-0000-71f3451fe2be7386.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 78,
+      "sha256": "71f3451fe2be7386c417b280f8b7361b37d7402039297e4eb7b2b15c0bf23fcc"
+    },
+    {
+      "bytes": 54656,
+      "path": "data/dev/pf1/mathlib-001132-0000-0b9e68763345b108.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0b9e68763345b108c803cb4fb9e0e7f1a121163e8ddc9252df20e0b84b3540ae"
+    },
+    {
+      "bytes": 76517,
+      "path": "data/internal_test/pf1/mathlib-001132-0000-af9780e9ff599678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "af9780e9ff599678dad54668fc26e8c9e4c37326167b20fa2904bfb4c703ff6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001133.json b/manifests/batches/mathlib/001133.json
index 066263bbd6d0401a09906f434a628cbce2ebd79d..60aaca060628cabfadace5bae8b3d5b2bb8cecca 100644
--- a/manifests/batches/mathlib/001133.json
+++ b/manifests/batches/mathlib/001133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001133",
   "batch_fingerprint": "419c90fb90c30324a621a3a18cf127de3be8f280bd30d8c46912e7ca80fa51c0",
   "evidence": {
@@ -2816,29 +2815,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001133-0000-e3d1b60401134140.parquet",
-      "sha256": "e3d1b6040113414088eb2e9282ab3b23671f9f6370475b45e56c8e50869c1568",
-      "bytes": 287109,
-      "rows": 66,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001133-0000-afe8d4eb6576f3e5.parquet",
-      "sha256": "afe8d4eb6576f3e558e8ad2b1c3d4e8a1467bca3fa3fe65760af67e7c732bccc",
-      "bytes": 37825,
-      "rows": 2,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001133-0000-f0215f74827bacb6.parquet",
-      "sha256": "f0215f74827bacb61d02cdf92a28b463d858c5a2ab59ae9c1e0ed580acd25539",
-      "bytes": 98519,
-      "rows": 15,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Field.finInsepDegree_eq_of_equiv",
     "mathlib:Field.finInsepDegree_self",
@@ -2936,5 +2913,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SeparableDegree.lean\",null,null,\"Polynomial.natSepDegree_smul_nonzero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SeparableDegree.lean\",null,null,\"Polynomial.natSepDegree_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SeparableDegree.lean\",null,null,\"minpoly.natSepDegree_eq_one_iff_eq_X_pow_sub_C\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287109,
+      "path": "data/train/paf/mathlib-001133-0000-e3d1b60401134140.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "e3d1b6040113414088eb2e9282ab3b23671f9f6370475b45e56c8e50869c1568"
+    },
+    {
+      "bytes": 37825,
+      "path": "data/dev/paf/mathlib-001133-0000-afe8d4eb6576f3e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "afe8d4eb6576f3e558e8ad2b1c3d4e8a1467bca3fa3fe65760af67e7c732bccc"
+    },
+    {
+      "bytes": 98519,
+      "path": "data/internal_test/paf/mathlib-001133-0000-f0215f74827bacb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f0215f74827bacb61d02cdf92a28b463d858c5a2ab59ae9c1e0ed580acd25539"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001134.json b/manifests/batches/mathlib/001134.json
index abd68c4a6fdccf9a2ba67c054e6e854395566f97..9dea31722b14e87c3e43c8bbd047d13f1bca098c 100644
--- a/manifests/batches/mathlib/001134.json
+++ b/manifests/batches/mathlib/001134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001134",
   "batch_fingerprint": "69119b82c5fca4ff25e061898e1821185a51b7c42b0a496871fc5643232d83a4",
   "evidence": {
@@ -663,22 +662,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001134-0000-4d030d271fb5df33.parquet",
-      "sha256": "4d030d271fb5df33fe5170118642ad98449cfbded44ffea74a15d308c7f7ed35",
-      "bytes": 92883,
-      "rows": 11,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001134-0000-aad4457a37a0352e.parquet",
-      "sha256": "aad4457a37a0352e39dfd6102a351c2097434557bcd66ab67ef6b582a6df3540",
-      "bytes": 35890,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IntermediateField.splits_of_splits",
     "mathlib:IsIntegral.mem_intermediateField_of_minpoly_splits",
@@ -696,5 +680,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SplittingField/IsSplittingField.lean\",null,null,\"IsIntegral.mem_intermediateField_of_minpoly_splits\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SplittingField/IsSplittingField.lean\",null,null,\"Polynomial.IsSplittingField.finiteDimensional\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/FieldTheory/SplittingField/IsSplittingField.lean\",null,null,\"Polynomial.IsSplittingField.mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92883,
+      "path": "data/train/pb2/mathlib-001134-0000-4d030d271fb5df33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4d030d271fb5df33fe5170118642ad98449cfbded44ffea74a15d308c7f7ed35"
+    },
+    {
+      "bytes": 35890,
+      "path": "data/internal_test/pb2/mathlib-001134-0000-aad4457a37a0352e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aad4457a37a0352e39dfd6102a351c2097434557bcd66ab67ef6b582a6df3540"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001135.json b/manifests/batches/mathlib/001135.json
index 5c2adecf2738e6954c506d109a0f510622516be5..90156552d8fb61b6ad5edff1a759beb20c553f88 100644
--- a/manifests/batches/mathlib/001135.json
+++ b/manifests/batches/mathlib/001135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001135",
   "batch_fingerprint": "d703ece16bdffef21f06d19003ac9ffec4a5ac56f3a9ef8e9ea130091b77d472",
   "evidence": {
@@ -2011,29 +2010,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001135-0000-4ecc4a4bfa31e847.parquet",
-      "sha256": "4ecc4a4bfa31e84706d082e2ed88954e4ec01877152c63a52b67345f9a430a01",
-      "bytes": 185528,
-      "rows": 53,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001135-0000-7d3991fcc03d0c70.parquet",
-      "sha256": "7d3991fcc03d0c70a0655a86ac1660230b578ecac51144752db8b4eda1f67316",
-      "bytes": 40101,
-      "rows": 2,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001135-0000-4cf9d5985f1ce387.parquet",
-      "sha256": "4cf9d5985f1ce387e07481610e748e7409be33f4f4adef52440d2c59c1c56223",
-      "bytes": 59854,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Collinear.two_zsmul_oangle_eq_right",
     "mathlib:EuclideanGeometry.abs_oangle_right_toReal_lt_pi_div_two_of_dist_eq",
@@ -2119,5 +2096,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 185528,
+      "path": "data/train/p89/mathlib-001135-0000-4ecc4a4bfa31e847.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "4ecc4a4bfa31e84706d082e2ed88954e4ec01877152c63a52b67345f9a430a01"
+    },
+    {
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+      "path": "data/dev/p89/mathlib-001135-0000-7d3991fcc03d0c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7d3991fcc03d0c70a0655a86ac1660230b578ecac51144752db8b4eda1f67316"
+    },
+    {
+      "bytes": 59854,
+      "path": "data/internal_test/p89/mathlib-001135-0000-4cf9d5985f1ce387.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4cf9d5985f1ce387e07481610e748e7409be33f4f4adef52440d2c59c1c56223"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001136.json b/manifests/batches/mathlib/001136.json
index c6ef4fc6e3df5ed7fc9fc859fe48b2731b4740c8..048f2563bdaad04a8f9e7d5637ca10be3aa9f589 100644
--- a/manifests/batches/mathlib/001136.json
+++ b/manifests/batches/mathlib/001136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001136",
   "batch_fingerprint": "4ec8ed347f1017960e9352edb394ed3a03b443e53240cb2ad181e565cc4f9ba7",
   "evidence": {
@@ -6329,29 +6328,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001136-0000-8279874861c3be19.parquet",
-      "sha256": "8279874861c3be19e15d86becc4953b71c870c964421be33f984e0675bb9323e",
-      "bytes": 397475,
-      "rows": 124,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001136-0000-e03425ece02ddb2e.parquet",
-      "sha256": "e03425ece02ddb2ebfc793afa110c65071fc148243c0835cf7e987f9a70775fd",
-      "bytes": 62845,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001136-0000-72c45b5043ccb125.parquet",
-      "sha256": "72c45b5043ccb1259cb4e35431e0026e67bbede393f669a8d00137e2fb584937",
-      "bytes": 87949,
-      "rows": 20,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.oangle",
     "mathlib:Orientation.angle_eq_iff_oangle_eq_of_sign_eq",
@@ -6547,5 +6524,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Angle/Oriented/RightAngle.lean\",null,null,\"Orientation.tan_oangle_add_right_smul_rotation_pi_div_two\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 397475,
+      "path": "data/train/p54/mathlib-001136-0000-8279874861c3be19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 124,
+      "sha256": "8279874861c3be19e15d86becc4953b71c870c964421be33f984e0675bb9323e"
+    },
+    {
+      "bytes": 62845,
+      "path": "data/dev/p54/mathlib-001136-0000-e03425ece02ddb2e.parquet",
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+      "rows": 4,
+      "sha256": "e03425ece02ddb2ebfc793afa110c65071fc148243c0835cf7e987f9a70775fd"
+    },
+    {
+      "bytes": 87949,
+      "path": "data/internal_test/p54/mathlib-001136-0000-72c45b5043ccb125.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "72c45b5043ccb1259cb4e35431e0026e67bbede393f669a8d00137e2fb584937"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001137.json b/manifests/batches/mathlib/001137.json
index 162aca68481d0be27976d32e5a0fbcc994bac926..171312c0b5369181bac4281912a28150e924091e 100644
--- a/manifests/batches/mathlib/001137.json
+++ b/manifests/batches/mathlib/001137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001137",
   "batch_fingerprint": "8e66b69a61eb7be3329f311c5e29d3a3ef194aab24f783cea8328f8a9fb2cf3d",
   "evidence": {
@@ -2159,29 +2158,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001137-0000-72c71c4f84692d9b.parquet",
-      "sha256": "72c71c4f84692d9babffb09ad9faa09752b5ca5f3eb1833bd99391ea5151313c",
-      "bytes": 226950,
-      "rows": 47,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001137-0000-a8c9e5837c22bd60.parquet",
-      "sha256": "a8c9e5837c22bd6062153a9c26a724823a6c38d224379d375d0cc394dafc07f9",
-      "bytes": 66350,
-      "rows": 6,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001137-0000-1839834106c5bea7.parquet",
-      "sha256": "1839834106c5bea7ca09fd69d71f15a89da3707d4e14a5f8d291ab6797b784a2",
-      "bytes": 84136,
-      "rows": 9,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.rotation",
     "mathlib:EuclideanGeometry.Cospherical.two_zsmul_oangle_eq",
@@ -2269,5 +2246,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 226950,
+      "path": "data/train/pda/mathlib-001137-0000-72c71c4f84692d9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "72c71c4f84692d9babffb09ad9faa09752b5ca5f3eb1833bd99391ea5151313c"
+    },
+    {
+      "bytes": 66350,
+      "path": "data/dev/pda/mathlib-001137-0000-a8c9e5837c22bd60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a8c9e5837c22bd6062153a9c26a724823a6c38d224379d375d0cc394dafc07f9"
+    },
+    {
+      "bytes": 84136,
+      "path": "data/internal_test/pda/mathlib-001137-0000-1839834106c5bea7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1839834106c5bea7ca09fd69d71f15a89da3707d4e14a5f8d291ab6797b784a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001138.json b/manifests/batches/mathlib/001138.json
index 2151fe9dd037e6f15c2eaf9f4cb0218b26857aec..59ce774d3f6340c01f65a0b6b36bf5f325ee86cb 100644
--- a/manifests/batches/mathlib/001138.json
+++ b/manifests/batches/mathlib/001138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001138",
   "batch_fingerprint": "a016360af364723db75bfc8078493bc504145ec2422ba3c023267025bfcec495",
   "evidence": {
@@ -2263,29 +2262,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001138-0000-91e1799076b5b164.parquet",
-      "sha256": "91e1799076b5b1645a86483a1d928b99642af9a47eb245b72827aa640001cee5",
-      "bytes": 256186,
-      "rows": 81,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001138-0000-09c0eb83abd34e31.parquet",
-      "sha256": "09c0eb83abd34e31344b45d7026618e075ff6931772f9e69025737108e841235",
-      "bytes": 65277,
-      "rows": 7,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001138-0000-6edbc48aff703a2e.parquet",
-      "sha256": "6edbc48aff703a2efe776444ccc6f1c208433cba6689d6561c6d92f700f0dca0",
-      "bytes": 68069,
-      "rows": 11,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineIsometry.angle_map",
     "mathlib:EuclideanGeometry.angle_add_angle_eq_pi_of_angle_eq_pi",
@@ -2389,5 +2366,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 256186,
+      "path": "data/train/p19/mathlib-001138-0000-91e1799076b5b164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "91e1799076b5b1645a86483a1d928b99642af9a47eb245b72827aa640001cee5"
+    },
+    {
+      "bytes": 65277,
+      "path": "data/dev/p19/mathlib-001138-0000-09c0eb83abd34e31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "09c0eb83abd34e31344b45d7026618e075ff6931772f9e69025737108e841235"
+    },
+    {
+      "bytes": 68069,
+      "path": "data/internal_test/p19/mathlib-001138-0000-6edbc48aff703a2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6edbc48aff703a2efe776444ccc6f1c208433cba6689d6561c6d92f700f0dca0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001139.json b/manifests/batches/mathlib/001139.json
index 59590a38bf824142c4ce4bb0e9248e76372564bb..c103b2c918d9835c05a0bbd17c566cdbdefadc34 100644
--- a/manifests/batches/mathlib/001139.json
+++ b/manifests/batches/mathlib/001139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001139",
   "batch_fingerprint": "ff01851aacec2ef7a56907f2d95cecd3ad7558100050f2ca95a688abdfb95d5f",
   "evidence": {
@@ -777,29 +776,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001139-0000-45399c83e03a674c.parquet",
-      "sha256": "45399c83e03a674ca098f506d3974a72d912c7b53b818b376dbc5aeb4b0ee50a",
-      "bytes": 224319,
-      "rows": 75,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001139-0000-72f93e87f18d77cd.parquet",
-      "sha256": "72f93e87f18d77cd3dc83f42ac7f445018a81d84b0ab96df26a846887b2c6cf1",
-      "bytes": 51768,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001139-0000-e3c1ade6bd7680e4.parquet",
-      "sha256": "e3c1ade6bd7680e48c5c448c61c06289a98590989d306183cd087890402cffc1",
-      "bytes": 79989,
-      "rows": 17,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanGeometry.angle_eq_arccos_of_angle_eq_pi_div_two",
     "mathlib:EuclideanGeometry.angle_eq_arcsin_of_angle_eq_pi_div_two",
@@ -877,5 +854,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 224319,
+      "path": "data/train/p94/mathlib-001139-0000-45399c83e03a674c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "45399c83e03a674ca098f506d3974a72d912c7b53b818b376dbc5aeb4b0ee50a"
+    },
+    {
+      "bytes": 51768,
+      "path": "data/dev/p94/mathlib-001139-0000-72f93e87f18d77cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "72f93e87f18d77cd3dc83f42ac7f445018a81d84b0ab96df26a846887b2c6cf1"
+    },
+    {
+      "bytes": 79989,
+      "path": "data/internal_test/p94/mathlib-001139-0000-e3c1ade6bd7680e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e3c1ade6bd7680e48c5c448c61c06289a98590989d306183cd087890402cffc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001140.json b/manifests/batches/mathlib/001140.json
index 8490ea2195b0f70aad5de4e023490f0e7f4f4f73..74f7bc95001c7e52e21f97d9f9663e79908de0d5 100644
--- a/manifests/batches/mathlib/001140.json
+++ b/manifests/batches/mathlib/001140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001140",
   "batch_fingerprint": "f0c2c547f749113d4c1cc44a91b2c0cd067e46fce99fb6c9ca801d95ea8e6f3c",
   "evidence": {
@@ -5131,22 +5130,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001140-0000-c3f399b1cd1d9065.parquet",
-      "sha256": "c3f399b1cd1d9065d6edb088006f63b508b4c6eae6b79ff3193e1eac3d0d647f",
-      "bytes": 265819,
-      "rows": 41,
-      "revision": "e2ccdf6c58d5edf4d7c19074e191c8dd73320705"
-    },
-    {
-      "path": "data/internal_test/mathlib-001140-0000-0c546da36cd78d8b.parquet",
-      "sha256": "0c546da36cd78d8b92bc34edc2c76b862d91428501969f14102b6e502c9f4500",
-      "bytes": 79123,
-      "rows": 7,
-      "revision": "e2ccdf6c58d5edf4d7c19074e191c8dd73320705"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanGeometry.dist_left_midpoint_eq_dist_right_midpoint",
     "mathlib:EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff",
@@ -5190,5 +5174,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Basic.lean\",null,null,\"EuclideanGeometry.reflection_mem_of_le_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Basic.lean\",null,null,\"EuclideanGeometry.reflection_orthogonal_vadd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Basic.lean\",null,null,\"EuclideanGeometry.reflection_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265819,
+      "path": "data/train/pa9/mathlib-001140-0000-c3f399b1cd1d9065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "c3f399b1cd1d9065d6edb088006f63b508b4c6eae6b79ff3193e1eac3d0d647f"
+    },
+    {
+      "bytes": 79123,
+      "path": "data/internal_test/pa9/mathlib-001140-0000-0c546da36cd78d8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0c546da36cd78d8b92bc34edc2c76b862d91428501969f14102b6e502c9f4500"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001141.json b/manifests/batches/mathlib/001141.json
index 202add4dc084f8989f549207cb44b29519eb35b0..6374e756024a0a0763cedd925a50e0c93ade2945 100644
--- a/manifests/batches/mathlib/001141.json
+++ b/manifests/batches/mathlib/001141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001141",
   "batch_fingerprint": "8d83a7a6aad346b77863ce70b691211fbce68e3ed0cfc332e16687ba30946cc2",
   "evidence": {
@@ -1103,22 +1102,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001141-0000-edaf00d82c88118d.parquet",
-      "sha256": "edaf00d82c88118d991f6d0733e0b3ebf76c0ba3cf252c8efc8bc39f4aa5e610",
-      "bytes": 70276,
-      "rows": 8,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001141-0000-8da5340fd883129c.parquet",
-      "sha256": "8da5340fd883129ca252b53c265d48ecb57ac89f69fc4342f69c92e0c768c5d2",
-      "bytes": 63216,
-      "rows": 3,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DifferentiableAt.inversion",
     "mathlib:EuclideanGeometry.dist_center_inversion",
@@ -1138,5 +1122,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Inversion/Basic.lean\",null,null,\"EuclideanGeometry.inversion_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Inversion/Basic.lean\",null,null,\"EuclideanGeometry.inversion_zero_radius\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Inversion/Calculus.lean\",null,null,\"DifferentiableAt.inversion\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70276,
+      "path": "data/train/pda/mathlib-001141-0000-edaf00d82c88118d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "edaf00d82c88118d991f6d0733e0b3ebf76c0ba3cf252c8efc8bc39f4aa5e610"
+    },
+    {
+      "bytes": 63216,
+      "path": "data/internal_test/pda/mathlib-001141-0000-8da5340fd883129c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8da5340fd883129ca252b53c265d48ecb57ac89f69fc4342f69c92e0c768c5d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001142.json b/manifests/batches/mathlib/001142.json
index e3dcc05f6e6c26f2dad9ff5f5997d7584df13334..73a9c1964a33cdae27be1ee2a3e80768a05f10cc 100644
--- a/manifests/batches/mathlib/001142.json
+++ b/manifests/batches/mathlib/001142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001142",
   "batch_fingerprint": "c676a1b9f550d67aebe9330b574638e1a4905fd191835ff0fb168e23f572ac1c",
   "evidence": {
@@ -3079,22 +3078,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001142-0000-8abd545f1ac9d3aa.parquet",
-      "sha256": "8abd545f1ac9d3aacaeebf8a4b34c89a94ce08bb8081d55e5c615bdd9af96351",
-      "bytes": 145663,
-      "rows": 31,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001142-0000-59dba48d3a3ea54d.parquet",
-      "sha256": "59dba48d3a3ea54dbd22095a859c16cb8358044b3e0dd27b96db7c4afe006ff0",
-      "bytes": 39047,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Affine.Simplex.direction_altitude",
     "mathlib:Affine.Simplex.direction_mongePlane",
@@ -3128,5 +3112,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/MongePoint.lean\",null,null,\"Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/MongePoint.lean\",null,null,\"Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/MongePoint.lean\",null,null,\"EuclideanGeometry.OrthocentricSystem.affineIndependent\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145663,
+      "path": "data/train/p47/mathlib-001142-0000-8abd545f1ac9d3aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8abd545f1ac9d3aacaeebf8a4b34c89a94ce08bb8081d55e5c615bdd9af96351"
+    },
+    {
+      "bytes": 39047,
+      "path": "data/dev/p47/mathlib-001142-0000-59dba48d3a3ea54d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "59dba48d3a3ea54dbd22095a859c16cb8358044b3e0dd27b96db7c4afe006ff0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001143.json b/manifests/batches/mathlib/001143.json
index 4a0928a9687d048d1406b54706f21220f7f9254b..c75522ef1778502662556b93c2ed6a88cda1cbf9 100644
--- a/manifests/batches/mathlib/001143.json
+++ b/manifests/batches/mathlib/001143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001143",
   "batch_fingerprint": "9df2556308cab5d7b58675f2d32af3ef9122e38987fe6f0bd6781ac159982f7d",
   "evidence": {
@@ -1523,29 +1522,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001143-0000-085346ca25f142c0.parquet",
-      "sha256": "085346ca25f142c044de63642710e8c0158d3b43cf5e100eb0719a59ad27fc27",
-      "bytes": 105091,
-      "rows": 29,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001143-0000-0ed2de275f71ec9b.parquet",
-      "sha256": "0ed2de275f71ec9b69705ce68248a18ab73cbf2868a35c5496401d5f3350dfae",
-      "bytes": 50414,
-      "rows": 3,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001143-0000-53c9051833c6ada3.parquet",
-      "sha256": "53c9051833c6ada34b08c1cb2057f494ba186a691cd6e527821abc5702a54d0e",
-      "bytes": 54114,
-      "rows": 5,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineSubspace.direction_perpBisector",
     "mathlib:AffineSubspace.left_mem_perpBisector",
@@ -1595,5 +1572,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Sphere/Basic.lean\",null,null,\"EuclideanGeometry.cospherical_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Sphere/Basic.lean\",null,null,\"EuclideanGeometry.dist_center_eq_dist_center_of_mem_sphere\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Sphere/Basic.lean\",null,null,\"EuclideanGeometry.dist_center_eq_dist_center_of_mem_sphere'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105091,
+      "path": "data/train/p7c/mathlib-001143-0000-085346ca25f142c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "085346ca25f142c044de63642710e8c0158d3b43cf5e100eb0719a59ad27fc27"
+    },
+    {
+      "bytes": 50414,
+      "path": "data/dev/p7c/mathlib-001143-0000-0ed2de275f71ec9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0ed2de275f71ec9b69705ce68248a18ab73cbf2868a35c5496401d5f3350dfae"
+    },
+    {
+      "bytes": 54114,
+      "path": "data/internal_test/p7c/mathlib-001143-0000-53c9051833c6ada3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "53c9051833c6ada34b08c1cb2057f494ba186a691cd6e527821abc5702a54d0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001144.json b/manifests/batches/mathlib/001144.json
index e2db4891c8db53944ab87254817bf44edf266848..d186f9e94463b07f2ae89587804b31af32d3dc17 100644
--- a/manifests/batches/mathlib/001144.json
+++ b/manifests/batches/mathlib/001144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001144",
   "batch_fingerprint": "7eb97238eb4dfb2f7eb49f0c4d1d28ec6537075e8c995c2c03ee52362e3c71d2",
   "evidence": {
@@ -709,19 +708,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001144-0000-d666016a4b15f70e.parquet",
-      "sha256": "d666016a4b15f70e8e30cc2c4ca4cdadb9066164c73887b0168227c495508332",
-      "bytes": 55442,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Sphere/Power.lean\",null,null,\"EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55442,
+      "path": "data/train/p6e/mathlib-001144-0000-d666016a4b15f70e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d666016a4b15f70e8e30cc2c4ca4cdadb9066164c73887b0168227c495508332"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001145.json b/manifests/batches/mathlib/001145.json
index ed007f5c8db5b01b5f8a32abd1f1172e48b1cab2..af231515fe3db8a1f775399a8792823d4a75c83c 100644
--- a/manifests/batches/mathlib/001145.json
+++ b/manifests/batches/mathlib/001145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001145",
   "batch_fingerprint": "bf685b72d395ae289f8fbd5d48324cbb9a0723800206046dfa22a2202cccafb5",
   "evidence": {
@@ -2040,22 +2039,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001145-0000-fc09e93acde28349.parquet",
-      "sha256": "fc09e93acde283492565616b5afba85362ada3d6e55cda9d0ecbcc6da9cb365e",
-      "bytes": 89744,
-      "rows": 21,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001145-0000-257e00253eab31f1.parquet",
-      "sha256": "257e00253eab31f1d5ef35163abeb8579d69a9cea3f0bea103740eba6f161388",
-      "bytes": 55069,
-      "rows": 2,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EuclideanGeometry.Sphere.secondInter_collinear",
     "mathlib:EuclideanGeometry.Sphere.secondInter_mem",
@@ -2081,5 +2065,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Triangle.lean\",null,null,\"InnerProductGeometry.angle_sub_eq_angle_sub_rev_of_norm_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Triangle.lean\",null,null,\"InnerProductGeometry.cos_angle_add_angle_sub_add_angle_sub_eq_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Euclidean/Triangle.lean\",null,null,\"InnerProductGeometry.sin_angle_add_angle_sub_add_angle_sub_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89744,
+      "path": "data/train/p2d/mathlib-001145-0000-fc09e93acde28349.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "fc09e93acde283492565616b5afba85362ada3d6e55cda9d0ecbcc6da9cb365e"
+    },
+    {
+      "bytes": 55069,
+      "path": "data/internal_test/p2d/mathlib-001145-0000-257e00253eab31f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "257e00253eab31f1d5ef35163abeb8579d69a9cea3f0bea103740eba6f161388"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001146.json b/manifests/batches/mathlib/001146.json
index cfc9ba12e5483fedb85a8804442a76d73d46d083..b5756e9b0cb960b6869f0f57b545faf39722f1a7 100644
--- a/manifests/batches/mathlib/001146.json
+++ b/manifests/batches/mathlib/001146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001146",
   "batch_fingerprint": "73b72a12997232842467d380441e188104bffed398682f6986e0f94df254b746",
   "evidence": {
@@ -1140,22 +1139,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001146-0000-6c158842c0498a7b.parquet",
-      "sha256": "6c158842c0498a7b47c42ed4438fde7dcbae68d5f0bc5d0a8f9b87aeceee088b",
-      "bytes": 195988,
-      "rows": 15,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001146-0000-554fa99b25487fc4.parquet",
-      "sha256": "554fa99b25487fc4dfc9b12e2e7fec08e4b2226c990164fff614ed9973fe380f",
-      "bytes": 162895,
-      "rows": 6,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContMDiff.div",
     "mathlib:ContMDiff.div\u2080",
@@ -1181,5 +1165,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/LieGroup.lean\",null,null,\"ContMDiffOn.div\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/LieGroup.lean\",null,null,\"ContMDiffWithinAt.div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/LieGroup.lean\",null,null,\"ContMDiffWithinAt.div\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195988,
+      "path": "data/train/p61/mathlib-001146-0000-6c158842c0498a7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6c158842c0498a7b47c42ed4438fde7dcbae68d5f0bc5d0a8f9b87aeceee088b"
+    },
+    {
+      "bytes": 162895,
+      "path": "data/internal_test/p61/mathlib-001146-0000-554fa99b25487fc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "554fa99b25487fc4dfc9b12e2e7fec08e4b2226c990164fff614ed9973fe380f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001147.json b/manifests/batches/mathlib/001147.json
index 22ea5fc747a932ff914d5b8e54d5ed4075f3a3f6..e69adc38a829d082226b8291c1060948c7c1c344 100644
--- a/manifests/batches/mathlib/001147.json
+++ b/manifests/batches/mathlib/001147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001147",
   "batch_fingerprint": "97e166777b333847b4d6ec0b83c0ef8f4d0773c536d3bbd0d9b9098a09a6e37f",
   "evidence": {
@@ -1345,22 +1344,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001147-0000-4a1619c302a2f11f.parquet",
-      "sha256": "4a1619c302a2f11ff596a1fc266b4b28e5e4ec302d805da4158f6a33c0ccdb20",
-      "bytes": 75951,
-      "rows": 9,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001147-0000-2a81aadeb269c508.parquet",
-      "sha256": "2a81aadeb269c508539bfe572b2c0c8305a0df3db775512f2b9242aeacf2f225",
-      "bytes": 51657,
-      "rows": 2,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContMDiffAt.prod",
     "mathlib:ContMDiffWithinAt.div_const",
@@ -1376,5 +1360,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/Monoid.lean\",null,null,\"R_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/Monoid.lean\",null,null,\"contMDiffWithinAt_finset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Algebra/Monoid.lean\",null,null,\"contMDiff_finprod_cond\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75951,
+      "path": "data/train/p9b/mathlib-001147-0000-4a1619c302a2f11f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4a1619c302a2f11ff596a1fc266b4b28e5e4ec302d805da4158f6a33c0ccdb20"
+    },
+    {
+      "bytes": 51657,
+      "path": "data/internal_test/p9b/mathlib-001147-0000-2a81aadeb269c508.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2a81aadeb269c508539bfe572b2c0c8305a0df3db775512f2b9242aeacf2f225"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001148.json b/manifests/batches/mathlib/001148.json
index 240b5c09f8d7b1bc212ab83aea09430554d88802..ce93b05ed6f60f4422d6542ae002d3112a55a55f 100644
--- a/manifests/batches/mathlib/001148.json
+++ b/manifests/batches/mathlib/001148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001148",
   "batch_fingerprint": "8f8dc413264ef970bc2fa8f7a2a8971fda25b4b4235521b334b8044c8a2c04ce",
   "evidence": {
@@ -370,7 +369,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001149.json b/manifests/batches/mathlib/001149.json
index 69c7f4180b447d9719c8b38da7482ed605d3b494..c332fec6bb722e61b405cec116bee19eab007445 100644
--- a/manifests/batches/mathlib/001149.json
+++ b/manifests/batches/mathlib/001149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001149",
   "batch_fingerprint": "6775a7423b4ca5d728debbdb27f310aeaf1f32d5143e6efeafdf175891cb7657",
   "evidence": {
@@ -2611,29 +2610,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001149-0000-0ffc981ed7f9f188.parquet",
-      "sha256": "0ffc981ed7f9f18865a40fa3557a8319c19617308a7817064995855acc681503",
-      "bytes": 212949,
-      "rows": 53,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001149-0000-309fd76536055675.parquet",
-      "sha256": "309fd76536055675ca612a34e53cc0cd688a7cbd337864af1b1f095524cc269b",
-      "bytes": 47910,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001149-0000-95c5c4fc30d239d1.parquet",
-      "sha256": "95c5c4fc30d239d16bfaf193f89149d6c2bf7c42c9ab376d0b76b2bda30dadf7",
-      "bytes": 53256,
-      "rows": 5,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ChartedSpace.isOpen_iff",
     "mathlib:ChartedSpace.secondCountable_of_countable_cover",
@@ -2687,5 +2664,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ChartedSpace.lean\",null,null,\"groupoid_of_pregroupoid_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ChartedSpace.lean\",null,null,\"mem_pregroupoid_of_eqOnSource\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ChartedSpace.lean\",null,null,\"modelProd_range_prod_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212949,
+      "path": "data/train/p87/mathlib-001149-0000-0ffc981ed7f9f188.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "0ffc981ed7f9f18865a40fa3557a8319c19617308a7817064995855acc681503"
+    },
+    {
+      "bytes": 47910,
+      "path": "data/dev/p87/mathlib-001149-0000-309fd76536055675.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "309fd76536055675ca612a34e53cc0cd688a7cbd337864af1b1f095524cc269b"
+    },
+    {
+      "bytes": 53256,
+      "path": "data/internal_test/p87/mathlib-001149-0000-95c5c4fc30d239d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "95c5c4fc30d239d16bfaf193f89149d6c2bf7c42c9ab376d0b76b2bda30dadf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001150.json b/manifests/batches/mathlib/001150.json
index 49c6de08506fd49e2b74149621d424bc4c81b1e4..b1a8bbdb8f64c58329de695a578f8447d3c2ea6d 100644
--- a/manifests/batches/mathlib/001150.json
+++ b/manifests/batches/mathlib/001150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001150",
   "batch_fingerprint": "cb5d614de2358b5ab4bb7377ccd8356a1fa1f1d9cbeacd79a69d77a543686be9",
   "evidence": {
@@ -1076,22 +1075,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001150-0000-b42161a635913294.parquet",
-      "sha256": "b42161a6359132945b8974fc1f5b6b74b8c2465b3677d8066c1828e50097c36e",
-      "bytes": 65128,
-      "rows": 6,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001150-0000-c7dcd0fb776db636.parquet",
-      "sha256": "c7dcd0fb776db636750f0abc5dfa218b57e6a073eb0a56aa1a0e80e4039c44f2",
-      "bytes": 41768,
-      "rows": 4,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MDifferentiableOn.eqOn_of_isPreconnected_of_isMaxOn_norm",
     "mathlib:contMDiffOn_extChartAt_symm",
@@ -1103,5 +1087,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 65128,
+      "path": "data/train/p62/mathlib-001150-0000-b42161a635913294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b42161a6359132945b8974fc1f5b6b74b8c2465b3677d8066c1828e50097c36e"
+    },
+    {
+      "bytes": 41768,
+      "path": "data/internal_test/p62/mathlib-001150-0000-c7dcd0fb776db636.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c7dcd0fb776db636750f0abc5dfa218b57e6a073eb0a56aa1a0e80e4039c44f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001151.json b/manifests/batches/mathlib/001151.json
index 4ed70070ee07f9140b3fa91273f4719ec3050af8..fd42f46acffa28ee1c43a73f0e02d1df9a1f8430 100644
--- a/manifests/batches/mathlib/001151.json
+++ b/manifests/batches/mathlib/001151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001151",
   "batch_fingerprint": "6ec8f47850d3c059ca8eab72dcaba69d298db759af747af34a8939a6390ec5ee",
   "evidence": {
@@ -4151,29 +4150,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001151-0000-32adb4dee08854d9.parquet",
-      "sha256": "32adb4dee08854d9f9433505d04138adc7011dd02179ef3531b0896e5135e433",
-      "bytes": 377124,
-      "rows": 66,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/mathlib-001151-0000-0de204dde18c5618.parquet",
-      "sha256": "0de204dde18c5618b6a9699001661f4ecb6ed9b9ea1753022493bcb0029f95e7",
-      "bytes": 99592,
-      "rows": 13,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001151-0000-6e24f8ee486db4dc.parquet",
-      "sha256": "6e24f8ee486db4dc570a23944218ee92ecdde920b8d013a607790b558cf42106",
-      "bytes": 61364,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContMDiff.comp",
     "mathlib:ContMDiff.extend_one",
@@ -4239,5 +4216,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiff/Defs.lean\",null,null,\"contMDiffWithinAt_insert_self\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiff/Defs.lean\",null,null,\"contMDiff_iff_target\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 377124,
+      "path": "data/train/p39/mathlib-001151-0000-32adb4dee08854d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "32adb4dee08854d9f9433505d04138adc7011dd02179ef3531b0896e5135e433"
+    },
+    {
+      "bytes": 99592,
+      "path": "data/dev/p39/mathlib-001151-0000-0de204dde18c5618.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0de204dde18c5618b6a9699001661f4ecb6ed9b9ea1753022493bcb0029f95e7"
+    },
+    {
+      "bytes": 61364,
+      "path": "data/internal_test/p39/mathlib-001151-0000-6e24f8ee486db4dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6e24f8ee486db4dc570a23944218ee92ecdde920b8d013a607790b558cf42106"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001152.json b/manifests/batches/mathlib/001152.json
index 8f8cf01f161536e661ca6f73bdaf718de257eec9..cd4ffc625b5e8c7d16d82b76fa123508734b1dea 100644
--- a/manifests/batches/mathlib/001152.json
+++ b/manifests/batches/mathlib/001152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001152",
   "batch_fingerprint": "45dd27285ade1dbf5e0b25238c1a09e9c9261572ae45c82d86b12795463aac18",
   "evidence": {
@@ -2354,22 +2353,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001152-0000-754573065e98996a.parquet",
-      "sha256": "754573065e98996a5284af9da00ca308859b124ea9533061f1702d51e02b9523",
-      "bytes": 121594,
-      "rows": 15,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/internal_test/mathlib-001152-0000-4cafc7511c86c139.parquet",
-      "sha256": "4cafc7511c86c13912dc873ae796ad30d7411da5818a5a205a13a2a12b232472",
-      "bytes": 53925,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContMDiff.prod_map",
     "mathlib:ContMDiffAt.prod_map",
@@ -2391,5 +2375,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiff/Product.lean\",null,null,\"ContMDiffAt.prod_map'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiff/Product.lean\",null,null,\"ContMDiffWithinAt.prod_mk_space\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiff/Product.lean\",null,null,\"contMDiffAt_prod_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121594,
+      "path": "data/train/p1b/mathlib-001152-0000-754573065e98996a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "754573065e98996a5284af9da00ca308859b124ea9533061f1702d51e02b9523"
+    },
+    {
+      "bytes": 53925,
+      "path": "data/internal_test/p1b/mathlib-001152-0000-4cafc7511c86c139.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4cafc7511c86c13912dc873ae796ad30d7411da5818a5a205a13a2a12b232472"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001153.json b/manifests/batches/mathlib/001153.json
index a345d9eb6644fe1b10a607f4b52d40fa08f10447..fa7181f11af5ae636d6a436c24aa555de2648f0b 100644
--- a/manifests/batches/mathlib/001153.json
+++ b/manifests/batches/mathlib/001153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001153",
   "batch_fingerprint": "3e51120b6f002d11147e52279db0cf423817e11b64c44173cc321f09bb426801",
   "evidence": {
@@ -2728,15 +2727,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001153-0000-f555158ef016f661.parquet",
-      "sha256": "f555158ef016f6612385080cc3c53c953769415a85eb3278e455c08bb20f7447",
-      "bytes": 61404,
-      "rows": 7,
-      "revision": "e2ccdf6c58d5edf4d7c19074e191c8dd73320705"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContMDiff.contMDiff_tangentMap",
     "mathlib:ContMDiff.continuous_tangentMap"
@@ -2744,5 +2735,14 @@
   "proof_keys": [
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean\",null,null,\"ContMDiff.continuous_tangentMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61404,
+      "path": "data/train/pdb/mathlib-001153-0000-f555158ef016f661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f555158ef016f6612385080cc3c53c953769415a85eb3278e455c08bb20f7447"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001154.json b/manifests/batches/mathlib/001154.json
index 4bff5be685e446ea396124d70edc04fa3bbe73c4..94c09381de38e730d599d8232ebd50ea84288b4b 100644
--- a/manifests/batches/mathlib/001154.json
+++ b/manifests/batches/mathlib/001154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001154",
   "batch_fingerprint": "021da65a53514ba915be9d1d58680965a8c6e9df8c8204ee524802ada0dd034c",
   "evidence": {
@@ -1653,15 +1652,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001154-0000-fc978db64b39ee64.parquet",
-      "sha256": "fc978db64b39ee64ee13edb3742a8b8891671c232cecad93dc00a1bc1abaa7ac",
-      "bytes": 67315,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Diffeomorph.contMDiffOn_comp_diffeomorph_iff",
     "mathlib:Diffeomorph.range_comp",
@@ -1673,5 +1664,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Diffeomorph.lean\",null,null,\"Diffeomorph.range_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Diffeomorph.lean\",null,null,\"Diffeomorph.uniqueDiffOn_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Diffeomorph.lean\",null,null,\"Diffeomorph.uniqueMDiffOn_image_aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67315,
+      "path": "data/train/pbf/mathlib-001154-0000-fc978db64b39ee64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fc978db64b39ee64ee13edb3742a8b8891671c232cecad93dc00a1bc1abaa7ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001155.json b/manifests/batches/mathlib/001155.json
index 1de68ae32ddb1524704cadc3d9c5f90293de2c47..f1a6bc1d1c088db1e181776f04108c69acc4cf0c 100644
--- a/manifests/batches/mathlib/001155.json
+++ b/manifests/batches/mathlib/001155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001155",
   "batch_fingerprint": "dc7ae4214a4917021a55a7532a4ea227ba7098482dca47b6c9c271e3fee4915d",
   "evidence": {
@@ -1797,22 +1796,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001155-0000-aa01a880c7da6ebf.parquet",
-      "sha256": "aa01a880c7da6ebf536d67025afd13999883daf5ed2dff200b3de38e4701d9d9",
-      "bytes": 99409,
-      "rows": 10,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
-    },
-    {
-      "path": "data/dev/mathlib-001155-0000-d1c8eaffb7281735.parquet",
-      "sha256": "d1c8eaffb7281735de66fb4529953883c495152d9047da337f4e52d861c9bbf7",
-      "bytes": 34884,
-      "rows": 1,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:contMDiff_neg_sphere",
     "mathlib:stereographic'_source",
@@ -1830,5 +1814,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Instances/Sphere.lean\",null,null,\"stereographic_apply_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Instances/Sphere.lean\",null,null,\"stereographic_neg_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Instances/Sphere.lean\",null,null,\"stereographic_source\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99409,
+      "path": "data/train/p08/mathlib-001155-0000-aa01a880c7da6ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "aa01a880c7da6ebf536d67025afd13999883daf5ed2dff200b3de38e4701d9d9"
+    },
+    {
+      "bytes": 34884,
+      "path": "data/dev/p08/mathlib-001155-0000-d1c8eaffb7281735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d1c8eaffb7281735de66fb4529953883c495152d9047da337f4e52d861c9bbf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001156.json b/manifests/batches/mathlib/001156.json
index 226c969b1b097507f4af8daae7e58ad7fa263b75..1197b4627058a8d7f9fa173aa9f6447753e6f85a 100644
--- a/manifests/batches/mathlib/001156.json
+++ b/manifests/batches/mathlib/001156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001156",
   "batch_fingerprint": "ec320e538225f3347b0e770fc8b6d9c476fa8b41bb9f9fc4654041f9c5832b31",
   "evidence": {
@@ -1915,22 +1914,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001156-0000-8adb8df10b8bc067.parquet",
-      "sha256": "8adb8df10b8bc06727fabccefe2ac5461c867140c944ba22e57d3810f1d8bfaf",
-      "bytes": 359258,
-      "rows": 50,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001156-0000-e811a892fb954996.parquet",
-      "sha256": "e811a892fb954996f7b8fc32854262c0fa8790dce2aa2989366556bad69e768c",
-      "bytes": 70357,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsIntegralCurve.comp_add",
     "mathlib:IsIntegralCurve.comp_mul",
@@ -1962,5 +1946,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/IntegralCurve.lean\",null,null,\"isIntegralCurve_comp_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/IntegralCurve.lean\",null,null,\"isIntegralCurve_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/IntegralCurve.lean\",null,null,\"isIntegralCurve_iff_isIntegralCurveAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359258,
+      "path": "data/train/p2d/mathlib-001156-0000-8adb8df10b8bc067.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "8adb8df10b8bc06727fabccefe2ac5461c867140c944ba22e57d3810f1d8bfaf"
+    },
+    {
+      "bytes": 70357,
+      "path": "data/internal_test/p2d/mathlib-001156-0000-e811a892fb954996.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e811a892fb954996f7b8fc32854262c0fa8790dce2aa2989366556bad69e768c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001157.json b/manifests/batches/mathlib/001157.json
index 383cb119db71e660dfcfe51d282fc66fd435ab3f..37042ff741633e95154b63529b4427f6cd937453 100644
--- a/manifests/batches/mathlib/001157.json
+++ b/manifests/batches/mathlib/001157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001157",
   "batch_fingerprint": "d025f541fa705bdbed7b25150c3cc9b162c39a818d72a6ae0fd55f9f66218f62",
   "evidence": {
@@ -414,29 +413,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001157-0000-1017c416c28f82d7.parquet",
-      "sha256": "1017c416c28f82d7b1201cf85a635d1259767347d476c6e1ed16dcda6da2ac5a",
-      "bytes": 87795,
-      "rows": 18,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001157-0000-2a5a6920079852f7.parquet",
-      "sha256": "2a5a6920079852f756ccd7729a647471a5fe91873b2a09725d079b46ea012f63",
-      "bytes": 66519,
-      "rows": 2,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001157-0000-def42014c3ad7087.parquet",
-      "sha256": "def42014c3ad7087a71240cfbbefb7a0f9727b9466ae5f4ccf13b3d7e36df939",
-      "bytes": 60761,
-      "rows": 3,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Diffeomorph.isLocalDiffeomorph",
     "mathlib:IsLocalDiffeomorph.isLocalHomeomorph",
@@ -462,5 +439,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/LocalDiffeomorph.lean\",null,null,\"IsLocalDiffeomorphOn.isLocalHomeomorphOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/LocalDiffeomorph.lean\",null,null,\"isLocalDiffeomorphOn_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/LocalDiffeomorph.lean\",null,null,\"isLocalDiffeomorph_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87795,
+      "path": "data/train/pcb/mathlib-001157-0000-1017c416c28f82d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1017c416c28f82d7b1201cf85a635d1259767347d476c6e1ed16dcda6da2ac5a"
+    },
+    {
+      "bytes": 66519,
+      "path": "data/dev/pcb/mathlib-001157-0000-2a5a6920079852f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2a5a6920079852f756ccd7729a647471a5fe91873b2a09725d079b46ea012f63"
+    },
+    {
+      "bytes": 60761,
+      "path": "data/internal_test/pcb/mathlib-001157-0000-def42014c3ad7087.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "def42014c3ad7087a71240cfbbefb7a0f9727b9466ae5f4ccf13b3d7e36df939"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001158.json b/manifests/batches/mathlib/001158.json
index 44a8d85254f434c96c058a1bf418d5eea6b8c21b..13334411d13af8e2e1c6a7f99235dc335580885f 100644
--- a/manifests/batches/mathlib/001158.json
+++ b/manifests/batches/mathlib/001158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001158",
   "batch_fingerprint": "f818eb58db005ab70dc1454efd529f87b6ec0fdcac946b566b284ea5c27a8e08",
   "evidence": {
@@ -3026,22 +3025,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001158-0000-067d1f7d579e6dfd.parquet",
-      "sha256": "067d1f7d579e6dfd1ccabdc2f3cd695eeaf555965e337e75ae6ad7a3a6a63b64",
-      "bytes": 310869,
-      "rows": 71,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001158-0000-91fbc9b57ac31294.parquet",
-      "sha256": "91fbc9b57ac31294d1838d8a70785d8ce9bec8740d85fa8de7efe8cdfa4cfc8b",
-      "bytes": 55367,
-      "rows": 2,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ChartedSpace.liftPropAt_iff",
     "mathlib:ChartedSpace.liftProp_iff",
@@ -3107,5 +3091,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/LocalInvariantProperties.lean\",null,null,\"StructureGroupoid.LocalInvariantProp.liftProp_subtype_val\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/LocalInvariantProperties.lean\",null,null,\"StructureGroupoid.liftPropOn_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/Atlas.lean\",null,null,\"mfderiv_chartAt_eq_tangentCoordChange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310869,
+      "path": "data/train/p31/mathlib-001158-0000-067d1f7d579e6dfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "067d1f7d579e6dfd1ccabdc2f3cd695eeaf555965e337e75ae6ad7a3a6a63b64"
+    },
+    {
+      "bytes": 55367,
+      "path": "data/internal_test/p31/mathlib-001158-0000-91fbc9b57ac31294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "91fbc9b57ac31294d1838d8a70785d8ce9bec8740d85fa8de7efe8cdfa4cfc8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001159.json b/manifests/batches/mathlib/001159.json
index c05fc41f73bd341e4dbcb98cc0f2856f37005073..8c9661129c2332bd82adcc3706a87cc7d0cfe857 100644
--- a/manifests/batches/mathlib/001159.json
+++ b/manifests/batches/mathlib/001159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001159",
   "batch_fingerprint": "bcd1535010647dcad626b23844919fa2100f313b07fcac91badb0141c43d01d6",
   "evidence": {
@@ -2286,22 +2285,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001159-0000-240efb30107a2c0b.parquet",
-      "sha256": "240efb30107a2c0bc26532e7057eea974a27dbb2813ee5d0f685a225c574217e",
-      "bytes": 463905,
-      "rows": 93,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001159-0000-72e36f26d143eff9.parquet",
-      "sha256": "72e36f26d143eff9ea079c8d300c559c686f2b56d29fef537f8abfccb681db0e",
-      "bytes": 94721,
-      "rows": 12,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyEq.mfderiv_eq",
     "mathlib:HasMFDerivAt.comp",
@@ -2405,5 +2389,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/Basic.lean\",null,null,\"writtenInExtChartAt_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/Defs.lean\",null,null,\"mdifferentiableAt_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/Defs.lean\",null,null,\"mdifferentiableWithinAt_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463905,
+      "path": "data/train/pcf/mathlib-001159-0000-240efb30107a2c0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "240efb30107a2c0bc26532e7057eea974a27dbb2813ee5d0f685a225c574217e"
+    },
+    {
+      "bytes": 94721,
+      "path": "data/internal_test/pcf/mathlib-001159-0000-72e36f26d143eff9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "72e36f26d143eff9ea079c8d300c559c686f2b56d29fef537f8abfccb681db0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001160.json b/manifests/batches/mathlib/001160.json
index 7d3cf30a80b35ea2ec78c7cd466221a196f273c3..bedbd75cfda7024208e05d4ce829746e5f827983 100644
--- a/manifests/batches/mathlib/001160.json
+++ b/manifests/batches/mathlib/001160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001160",
   "batch_fingerprint": "5f0dadbeaa19475daa0b9e095d0cfeda86afd2f6ca5419cf83ed413cdbe9224d",
   "evidence": {
@@ -2081,29 +2080,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001160-0000-9d4b14bbbdc4b4a1.parquet",
-      "sha256": "9d4b14bbbdc4b4a123cf4d6c56c06759b5b6f5f4d7840b25d505df8dd71e79ab",
-      "bytes": 189955,
-      "rows": 24,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001160-0000-383fa6269ea2f8db.parquet",
-      "sha256": "383fa6269ea2f8db39a4933f7b39cc7fe8c562e4d7fca205ad87353fbe418467",
-      "bytes": 76140,
-      "rows": 6,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001160-0000-178fbc4a6cdd8dfa.parquet",
-      "sha256": "178fbc4a6cdd8dfa3e5c58da4f0ec1f2393d1cb232e6e79946614c89361d31c8",
-      "bytes": 66924,
-      "rows": 7,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasMFDerivWithinAt.mul'",
     "mathlib:hasMFDerivAt_iff_hasFDerivAt",
@@ -2149,5 +2126,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean\",null,null,\"tangentMap_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean\",null,null,\"tangentMap_prod_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean\",null,null,\"tangentMap_prod_snd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189955,
+      "path": "data/train/p54/mathlib-001160-0000-9d4b14bbbdc4b4a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9d4b14bbbdc4b4a123cf4d6c56c06759b5b6f5f4d7840b25d505df8dd71e79ab"
+    },
+    {
+      "bytes": 76140,
+      "path": "data/dev/p54/mathlib-001160-0000-383fa6269ea2f8db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "383fa6269ea2f8db39a4933f7b39cc7fe8c562e4d7fca205ad87353fbe418467"
+    },
+    {
+      "bytes": 66924,
+      "path": "data/internal_test/p54/mathlib-001160-0000-178fbc4a6cdd8dfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "178fbc4a6cdd8dfa3e5c58da4f0ec1f2393d1cb232e6e79946614c89361d31c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001161.json b/manifests/batches/mathlib/001161.json
index 69b47c091ff82effd412ea5170da68d5dfa350a1..dadf9af9bd278c56338df9e0630dd605c346a36c 100644
--- a/manifests/batches/mathlib/001161.json
+++ b/manifests/batches/mathlib/001161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001161",
   "batch_fingerprint": "da773d01d1488cff1a0202ff2c23517d67c88a719891f9cba21f68ab86578c5e",
   "evidence": {
@@ -254,15 +253,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001161-0000-3fbc4e6cce541bfb.parquet",
-      "sha256": "3fbc4e6cce541bfbcf33ba83ea431a6de5439690f915ac55d78c7ebea2e6608e",
-      "bytes": 73657,
-      "rows": 14,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ManifoldWithCorners.metrizableSpace",
     "mathlib:UniqueMDiffOn.uniqueDiffOn_inter_preimage",
@@ -274,5 +265,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean\",null,null,\"UniqueMDiffOn.uniqueDiffOn_target_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean\",null,null,\"UniqueMDiffWithinAt.preimage_partialHomeomorph\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Metrizable.lean\",null,null,\"ManifoldWithCorners.metrizableSpace\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73657,
+      "path": "data/train/pb6/mathlib-001161-0000-3fbc4e6cce541bfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3fbc4e6cce541bfbcf33ba83ea431a6de5439690f915ac55d78c7ebea2e6608e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001162.json b/manifests/batches/mathlib/001162.json
index 98156659e32fb13907af781a37367cb06c7dc8d4..8e99e2a8d2b168ae64966a8c30672bc600919e05 100644
--- a/manifests/batches/mathlib/001162.json
+++ b/manifests/batches/mathlib/001162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001162",
   "batch_fingerprint": "4259bdcc625543be52b879bc4df49cfc889de6297d73e0e9da8eee9dee03127d",
   "evidence": {
@@ -2229,22 +2228,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001162-0000-ef23938130648fb1.parquet",
-      "sha256": "ef23938130648fb1eb1ec83e61907ca1a26b08f20aba93f43d8ae683cba3b1a4",
-      "bytes": 140658,
-      "rows": 25,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001162-0000-48aa3ed4fa2cf4fb.parquet",
-      "sha256": "48aa3ed4fa2cf4fbe213c3c6bfb267e7f9775e71b196f27a4e9b1d833f94edd0",
-      "bytes": 57358,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BumpCovering.smooth_toPartitionOfUnity",
     "mathlib:Emetric.exists_smooth_forall_closedBall_subset",
@@ -2274,5 +2258,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/PartitionOfUnity.lean\",null,null,\"SmoothPartitionOfUnity.exists_pos_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/PartitionOfUnity.lean\",null,null,\"exists_contMDiffOn_forall_mem_convex_of_local\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/PartitionOfUnity.lean\",null,null,\"exists_msmooth_zero_iff_one_iff_of_isClosed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140658,
+      "path": "data/train/p01/mathlib-001162-0000-ef23938130648fb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ef23938130648fb1eb1ec83e61907ca1a26b08f20aba93f43d8ae683cba3b1a4"
+    },
+    {
+      "bytes": 57358,
+      "path": "data/internal_test/p01/mathlib-001162-0000-48aa3ed4fa2cf4fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "48aa3ed4fa2cf4fbe213c3c6bfb267e7f9775e71b196f27a4e9b1d833f94edd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001163.json b/manifests/batches/mathlib/001163.json
index 296c233b73714f8f20cc463b33f97ec08a1b7ba1..82836d8000c3e6fef4e781bf29d4d2b9d7c7d4fa 100644
--- a/manifests/batches/mathlib/001163.json
+++ b/manifests/batches/mathlib/001163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001163",
   "batch_fingerprint": "861e9cf8c6498034369b831486f438ad3fb3e8f723deb03834fc605ac92c093c",
   "evidence": {
@@ -573,15 +572,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001163-0000-9817e63a7f8571d8.parquet",
-      "sha256": "9817e63a7f8571d85e85e99b133dcf8d7629543ff33f03d9ec580b0df5f20512",
-      "bytes": 206384,
-      "rows": 21,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:smoothSheaf.eval_surjective",
     "mathlib:smoothSheafCommRing.eval_surjective",
@@ -597,5 +588,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Sheaf/Smooth.lean\",null,null,\"smoothSheafCommRing.forgetStalk_hom_comp_evalHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Sheaf/Smooth.lean\",null,null,\"smoothSheafCommRing.forgetStalk_inv_comp_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/Sheaf/Smooth.lean\",null,null,\"smoothSheafCommRing.\u03b9_forgetStalk_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206384,
+      "path": "data/train/p57/mathlib-001163-0000-9817e63a7f8571d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9817e63a7f8571d85e85e99b133dcf8d7629543ff33f03d9ec580b0df5f20512"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001164.json b/manifests/batches/mathlib/001164.json
index f49f005e087c87815cbbcd4a2319cc23300b4706..dad2f4f5bf277b8c007f9cc01dccb393e50eeaa3 100644
--- a/manifests/batches/mathlib/001164.json
+++ b/manifests/batches/mathlib/001164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001164",
   "batch_fingerprint": "d10ec1e009a6d77f57f4cfe4e9f9e91f60d796ce4fe9e71415c8a2444382072c",
   "evidence": {
@@ -3754,29 +3753,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001164-0000-a3823898a7f50d0e.parquet",
-      "sha256": "a3823898a7f50d0ed873da22b8502757036a490845cb6b36c941787d34c56f84",
-      "bytes": 658059,
-      "rows": 138,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001164-0000-a6e6ae6f04080253.parquet",
-      "sha256": "a6e6ae6f04080253984664f3bb81bdf8f0c33dd7060621337d57ce164da13d89",
-      "bytes": 82326,
-      "rows": 8,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001164-0000-30a07f0e7b15cde5.parquet",
-      "sha256": "30a07f0e7b15cde5b66512737e8bd702c57c44a22f860c77fb792b03d975fe65",
-      "bytes": 108736,
-      "rows": 21,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bundle.contMDiffAt_section",
     "mathlib:Bundle.contMDiffAt_totalSpace",
@@ -3952,5 +3929,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Basic.lean\",null,null,\"Trivialization.smoothOn_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Basic.lean\",null,null,\"VectorPrebundle.smoothVectorBundle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Basic.lean\",null,null,\"smoothOn_symm_coordChangeL\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 658059,
+      "path": "data/train/pae/mathlib-001164-0000-a3823898a7f50d0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 138,
+      "sha256": "a3823898a7f50d0ed873da22b8502757036a490845cb6b36c941787d34c56f84"
+    },
+    {
+      "bytes": 82326,
+      "path": "data/dev/pae/mathlib-001164-0000-a6e6ae6f04080253.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a6e6ae6f04080253984664f3bb81bdf8f0c33dd7060621337d57ce164da13d89"
+    },
+    {
+      "bytes": 108736,
+      "path": "data/internal_test/pae/mathlib-001164-0000-30a07f0e7b15cde5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "30a07f0e7b15cde5b66512737e8bd702c57c44a22f860c77fb792b03d975fe65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001165.json b/manifests/batches/mathlib/001165.json
index 9b1fda1771f858d3bd26e6db2d1a2a25527d1f3c..1e1a56817d739c6561e2288ccf0c2a72e09413e9 100644
--- a/manifests/batches/mathlib/001165.json
+++ b/manifests/batches/mathlib/001165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001165",
   "batch_fingerprint": "5aa2591af40fa84092847aac81005297d2cd984110328bb12c001f0e0dd6598b",
   "evidence": {
@@ -934,15 +933,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001165-0000-f127e7efa8cc4eca.parquet",
-      "sha256": "f127e7efa8cc4ecaab668780822151cd6b2b0e92862f5f19f27c5fd59be7835b",
-      "bytes": 211796,
-      "rows": 4,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:hom_chart",
     "mathlib:smoothOn_continuousLinearMapCoordChange"
@@ -950,5 +941,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Hom.lean\",null,null,\"hom_chart\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Hom.lean\",null,null,\"smoothOn_continuousLinearMapCoordChange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211796,
+      "path": "data/train/p47/mathlib-001165-0000-f127e7efa8cc4eca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f127e7efa8cc4ecaab668780822151cd6b2b0e92862f5f19f27c5fd59be7835b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001166.json b/manifests/batches/mathlib/001166.json
index afa56fc31a064d24c38a961d9ba3e4c184646db6..a41d06d076dedf0daf19ef291f01e16aca18be7a 100644
--- a/manifests/batches/mathlib/001166.json
+++ b/manifests/batches/mathlib/001166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001166",
   "batch_fingerprint": "49cf0b4c92373fb5c1193c5891b90c5c84506ee22de2a6f953975cba4fc6f03a",
   "evidence": {
@@ -1099,29 +1098,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001166-0000-6c07ed89bf6c93c1.parquet",
-      "sha256": "6c07ed89bf6c93c13915b50dd512946cee1d4c93af7dc2a4b11a69d015de679d",
-      "bytes": 102164,
-      "rows": 17,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001166-0000-50c0b5539231be77.parquet",
-      "sha256": "50c0b5539231be77fa18f4312fafba1ce7169bb8446d65cf58f0238b07f91801",
-      "bytes": 55328,
-      "rows": 2,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001166-0000-784247c68059b355.parquet",
-      "sha256": "784247c68059b355b5b3688584b542022ed81a227fed039742b34da70c98972f",
-      "bytes": 47754,
-      "rows": 4,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TangentBundle.continuousLinearMapAt_model_space",
     "mathlib:TangentBundle.coordChange_model_space",
@@ -1149,5 +1126,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean\",null,null,\"tangentBundle_model_space_coe_chartAt_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean\",null,null,\"tangentCoordChange_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean\",null,null,\"tangentCoordChange_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102164,
+      "path": "data/train/p63/mathlib-001166-0000-6c07ed89bf6c93c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6c07ed89bf6c93c13915b50dd512946cee1d4c93af7dc2a4b11a69d015de679d"
+    },
+    {
+      "bytes": 55328,
+      "path": "data/dev/p63/mathlib-001166-0000-50c0b5539231be77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "50c0b5539231be77fa18f4312fafba1ce7169bb8446d65cf58f0238b07f91801"
+    },
+    {
+      "bytes": 47754,
+      "path": "data/internal_test/p63/mathlib-001166-0000-784247c68059b355.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "784247c68059b355b5b3688584b542022ed81a227fed039742b34da70c98972f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001167.json b/manifests/batches/mathlib/001167.json
index bf71995127157a0080b87122d2d96ad1ed925a8f..34ed98a56b0c7e868c8ed1252d3a2252bfde26a4 100644
--- a/manifests/batches/mathlib/001167.json
+++ b/manifests/batches/mathlib/001167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001167",
   "batch_fingerprint": "564f578caab6f3a5668b2f56f557d0ccca1c9c1335bb4bef0bbc88a241ae6e95",
   "evidence": {
@@ -1074,46 +1073,47 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:SmoothBumpCovering.embeddingPiTangent_injOn",
+    "mathlib:SmoothBumpCovering.embeddingPiTangent_ker_mfderiv",
+    "mathlib:SmoothBumpCovering.exists_immersion_euclidean",
+    "mathlib:exists_embedding_euclidean_of_compact"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.embeddingPiTangent_injOn\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.embeddingPiTangent_ker_mfderiv\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.exists_immersion_euclidean\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"exists_embedding_euclidean_of_compact\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001167-0000-3d916c2f41405aba.parquet",
-      "sha256": "3d916c2f41405aba33bf4dd86d765aa5495d39dc16c049c3d3405424b10b4225",
       "bytes": 289498,
+      "path": "data/train/p7b/mathlib-001167-0000-3d916c2f41405aba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
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-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
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-      "sha256": "cdbb1c0ae6e7408b36d1bd444c5d0d957fb5a7af746c9fb8a4d0afbdccfd68bc",
       "bytes": 249883,
+      "path": "data/train/p7b/mathlib-001167-0002-cdbb1c0ae6e7408b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
+      "sha256": "cdbb1c0ae6e7408b36d1bd444c5d0d957fb5a7af746c9fb8a4d0afbdccfd68bc"
     },
     {
-      "path": "data/train/mathlib-001167-0003-98d2702d6aa1a31e.parquet",
-      "sha256": "98d2702d6aa1a31e5f83dbc8652659a56198909d3e8f0fb0e4c93e7bb9895738",
       "bytes": 240558,
+      "path": "data/train/p7b/mathlib-001167-0003-98d2702d6aa1a31e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
+      "sha256": "98d2702d6aa1a31e5f83dbc8652659a56198909d3e8f0fb0e4c93e7bb9895738"
     }
-  ],
-  "proof_ids": [
-    "mathlib:SmoothBumpCovering.embeddingPiTangent_injOn",
-    "mathlib:SmoothBumpCovering.embeddingPiTangent_ker_mfderiv",
-    "mathlib:SmoothBumpCovering.exists_immersion_euclidean",
-    "mathlib:exists_embedding_euclidean_of_compact"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.embeddingPiTangent_injOn\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.embeddingPiTangent_ker_mfderiv\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"SmoothBumpCovering.exists_immersion_euclidean\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/Manifold/WhitneyEmbedding.lean\",null,null,\"exists_embedding_euclidean_of_compact\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001168.json b/manifests/batches/mathlib/001168.json
index 404ae7ea4bd331ad80055190d508e7e1ff5c8e20..56be5214257753aba2ffcf375a25b6299a8eed6b 100644
--- a/manifests/batches/mathlib/001168.json
+++ b/manifests/batches/mathlib/001168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001168",
   "batch_fingerprint": "b3d78b1ac236459641caeabe96cb996b303fb5c82d128bb6e80b4c897ec9f6a6",
   "evidence": {
@@ -680,19 +679,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001168-0000-528b0f4c49176084.parquet",
-      "sha256": "528b0f4c49176084936990fc57bd74a2cc802e36f678a09b7fa3b6612169cd5b",
-      "bytes": 65832,
-      "rows": 6,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.LocallyRingedSpace.basicOpen_zero"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/RingedSpace/LocallyRingedSpace.lean\",null,null,\"AlgebraicGeometry.LocallyRingedSpace.basicOpen_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65832,
+      "path": "data/train/pc6/mathlib-001168-0000-528b0f4c49176084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "528b0f4c49176084936990fc57bd74a2cc802e36f678a09b7fa3b6612169cd5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001169.json b/manifests/batches/mathlib/001169.json
index 6958c6130fc71cbe2d1794ca95f533459f9764f9..ba00b119e375bcaf5dbc11903eaa94b9aeba5121 100644
--- a/manifests/batches/mathlib/001169.json
+++ b/manifests/batches/mathlib/001169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001169",
   "batch_fingerprint": "97e92b60513ea5b15a871416e530e5e25e11ef98bccb7ca7ee2343fe822bd331",
   "evidence": {
@@ -3090,7 +3089,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001170.json b/manifests/batches/mathlib/001170.json
index c9a6fa2fb115842f4a610df46de9fe600a9f4a08..50e23bcb78ffb6afc70b3420628d84c816525a38 100644
--- a/manifests/batches/mathlib/001170.json
+++ b/manifests/batches/mathlib/001170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001170",
   "batch_fingerprint": "aafe54860855394e767f49a7203d51188070e42688f5b21ea567576b7d871dd7",
   "evidence": {
@@ -2324,7 +2323,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001171.json b/manifests/batches/mathlib/001171.json
index e29c8e372979f3411060eee01b93ee1d433a48ca..7c5bfa8014a3c6c849c90b068db072cbea5c637d 100644
--- a/manifests/batches/mathlib/001171.json
+++ b/manifests/batches/mathlib/001171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001171",
   "batch_fingerprint": "f2c127f6222d8454b81592151ec514277131cc6f7762e5da6b2cd44df8361314",
   "evidence": {
@@ -766,29 +765,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001171-0000-37fb4ef390b9cb3c.parquet",
-      "sha256": "37fb4ef390b9cb3c2a517b64597a1ba0468dca2a08a44a0e527c5203dc3d9db8",
-      "bytes": 82681,
-      "rows": 9,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
-    },
-    {
-      "path": "data/dev/mathlib-001171-0000-7ca01a2ccb0037c5.parquet",
-      "sha256": "7ca01a2ccb0037c51ae9c0ac6a9ffb2bb44f304bbe85968f1eec65a72e45ba6e",
-      "bytes": 31247,
-      "rows": 1,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001171-0000-25ede0ba4fd00dde.parquet",
-      "sha256": "25ede0ba4fd00dde72ae4990c644c1c2d6e0e263012121e135c14744cdbd013f",
-      "bytes": 36805,
-      "rows": 2,
-      "revision": "43074ac490818f87d33aa7d44981dfea24bdfab9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicGeometry.PresheafedSpace.restrictStalkIso_inv_eq_germ",
     "mathlib:AlgebraicGeometry.PresheafedSpace.stalkMap.id",
@@ -802,5 +779,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/RingedSpace/Stalks.lean\",null,null,\"AlgebraicGeometry.PresheafedSpace.restrictStalkIso_inv_eq_germ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/RingedSpace/Stalks.lean\",null,null,\"AlgebraicGeometry.PresheafedSpace.stalkMap.id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Geometry/RingedSpace/Stalks.lean\",null,null,\"AlgebraicGeometry.PresheafedSpace.stalkMap_germ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82681,
+      "path": "data/train/pbc/mathlib-001171-0000-37fb4ef390b9cb3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "37fb4ef390b9cb3c2a517b64597a1ba0468dca2a08a44a0e527c5203dc3d9db8"
+    },
+    {
+      "bytes": 31247,
+      "path": "data/dev/pbc/mathlib-001171-0000-7ca01a2ccb0037c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7ca01a2ccb0037c51ae9c0ac6a9ffb2bb44f304bbe85968f1eec65a72e45ba6e"
+    },
+    {
+      "bytes": 36805,
+      "path": "data/internal_test/pbc/mathlib-001171-0000-25ede0ba4fd00dde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "25ede0ba4fd00dde72ae4990c644c1c2d6e0e263012121e135c14744cdbd013f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001172.json b/manifests/batches/mathlib/001172.json
index cb77f55d067c58065eb4e9b20b8b67782158fed1..0cc98f11f2eb7513235bb8e111cd655901bf7a06 100644
--- a/manifests/batches/mathlib/001172.json
+++ b/manifests/batches/mathlib/001172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001172",
   "batch_fingerprint": "37f3c1f094762d730f85261d25f72421113a764a76e6ea56fb7b08a9828848ff",
   "evidence": {
@@ -886,15 +885,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001172-0000-53b1a2bbdcc6aed7.parquet",
-      "sha256": "53b1a2bbdcc6aed79e9380978617aea23fcf3c1c66e20df8d1946fb6b8077b12",
-      "bytes": 61663,
-      "rows": 11,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Abelianization.commutator_subset_ker",
     "mathlib:card_commutatorSet_closureCommutatorRepresentatives",
@@ -910,5 +901,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Abelianization.lean\",null,null,\"commutator_eq_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Abelianization.lean\",null,null,\"commutator_eq_normalClosure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Abelianization.lean\",null,null,\"rank_closureCommutatorRepresentatives_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61663,
+      "path": "data/train/pc7/mathlib-001172-0000-53b1a2bbdcc6aed7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "53b1a2bbdcc6aed79e9380978617aea23fcf3c1c66e20df8d1946fb6b8077b12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001173.json b/manifests/batches/mathlib/001173.json
index 49ef56c44f58c0b6259f6a2a437d2a873491801b..82f381c292527bbe5d9fb2c30c979d2235fcb01b 100644
--- a/manifests/batches/mathlib/001173.json
+++ b/manifests/batches/mathlib/001173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001173",
   "batch_fingerprint": "d45ea13e9f6ab0ef20d18e2f720215a7d4aef7d779a618ec3e31c4e40c052d40",
   "evidence": {
@@ -538,28 +537,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Commensurable.commensurable_inv",
+    "mathlib:Commensurable.refl"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Commensurable.lean\",null,null,\"Commensurable.commensurable_inv\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Commensurable.lean\",null,null,\"Commensurable.refl\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001173-0000-4a64c3708168a5ab.parquet",
-      "sha256": "4a64c3708168a5ab0cf0ec8dd9c1ffeb8118fab176c3ddee6daa4bb6e632502a",
       "bytes": 33994,
+      "path": "data/train/p5e/mathlib-001173-0000-4a64c3708168a5ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
+      "sha256": "4a64c3708168a5ab0cf0ec8dd9c1ffeb8118fab176c3ddee6daa4bb6e632502a"
     },
     {
-      "path": "data/dev/mathlib-001173-0000-72986118cf13ede4.parquet",
-      "sha256": "72986118cf13ede4c517bf22942d99ebf46b3e324a17c24018f8a7675480041b",
       "bytes": 38798,
+      "path": "data/dev/p5e/mathlib-001173-0000-72986118cf13ede4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
+      "sha256": "72986118cf13ede4c517bf22942d99ebf46b3e324a17c24018f8a7675480041b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Commensurable.commensurable_inv",
-    "mathlib:Commensurable.refl"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Commensurable.lean\",null,null,\"Commensurable.commensurable_inv\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Commensurable.lean\",null,null,\"Commensurable.refl\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001174.json b/manifests/batches/mathlib/001174.json
index b549634c2390c46f13114b56945c5cd32f2ea153..900f68d476b9cbf787030a4f1961dd1f7b9b47e7 100644
--- a/manifests/batches/mathlib/001174.json
+++ b/manifests/batches/mathlib/001174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001174",
   "batch_fingerprint": "d798dee5e6791f02a8382b88a61c83ec37a1d205ac43ac8dea7bf3fad29770ec",
   "evidence": {
@@ -1739,29 +1738,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001174-0000-c33595cc6e15ffa8.parquet",
-      "sha256": "c33595cc6e15ffa8d361b72bbf6181ea4c48eb572fe384a45bc9656f6d4fc8db",
-      "bytes": 84976,
-      "rows": 16,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001174-0000-14e5afc2ebb98b56.parquet",
-      "sha256": "14e5afc2ebb98b566d2a0fb2c25e54555801d6ea12a117b372071a8e3262d558",
-      "bytes": 39361,
-      "rows": 2,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001174-0000-47f3b0bf14991b9a.parquet",
-      "sha256": "47f3b0bf14991b9a6c532c8446bfd65bf8bb982807097af7760ca02a6408d0dd",
-      "bytes": 43293,
-      "rows": 4,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DihedralGroup.commProb_cons",
     "mathlib:DihedralGroup.commProb_nil",
@@ -1789,5 +1766,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/CommutingProbability.lean\",null,null,\"commProb_le_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/CommutingProbability.lean\",null,null,\"commProb_pi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/CommutingProbability.lean\",null,null,\"commProb_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84976,
+      "path": "data/train/p15/mathlib-001174-0000-c33595cc6e15ffa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c33595cc6e15ffa8d361b72bbf6181ea4c48eb572fe384a45bc9656f6d4fc8db"
+    },
+    {
+      "bytes": 39361,
+      "path": "data/dev/p15/mathlib-001174-0000-14e5afc2ebb98b56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "14e5afc2ebb98b566d2a0fb2c25e54555801d6ea12a117b372071a8e3262d558"
+    },
+    {
+      "bytes": 43293,
+      "path": "data/internal_test/p15/mathlib-001174-0000-47f3b0bf14991b9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "47f3b0bf14991b9a6c532c8446bfd65bf8bb982807097af7760ca02a6408d0dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001175.json b/manifests/batches/mathlib/001175.json
index 58a1409526bd057149643db61e302688a360c797..cbf08b6df618cc0d6787ead61fc18b29267fff01 100644
--- a/manifests/batches/mathlib/001175.json
+++ b/manifests/batches/mathlib/001175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001175",
   "batch_fingerprint": "dda435439dd4a89d909096bfde32ad55fef3428fe7f2ff653ca9918ef40de5b6",
   "evidence": {
@@ -3809,29 +3808,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001175-0000-2b64e67399dba474.parquet",
-      "sha256": "2b64e67399dba474d6f1ebb134b9d0043880630a4adb1340ec216f46cebcea7a",
-      "bytes": 206040,
-      "rows": 64,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001175-0000-7ec271f66bf64d1b.parquet",
-      "sha256": "7ec271f66bf64d1bcaf249ae55de3701ffe2f6e82402d93c35d4969c20340bd8",
-      "bytes": 49819,
-      "rows": 3,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001175-0000-33bc55b50f0c5d36.parquet",
-      "sha256": "33bc55b50f0c5d36ee59fd274b58679a446d60a13a8b8646e38ec883267db64b",
-      "bytes": 74705,
-      "rows": 14,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Con.coe_iInf",
     "mathlib:Con.coe_sInf",
@@ -3917,5 +3894,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Congruence/Basic.lean\",null,null,\"Con.sSup_eq_conGen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Congruence/Basic.lean\",null,null,\"Con.smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Congruence/Basic.lean\",null,null,\"Con.sup_eq_conGen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206040,
+      "path": "data/train/p4c/mathlib-001175-0000-2b64e67399dba474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "2b64e67399dba474d6f1ebb134b9d0043880630a4adb1340ec216f46cebcea7a"
+    },
+    {
+      "bytes": 49819,
+      "path": "data/dev/p4c/mathlib-001175-0000-7ec271f66bf64d1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7ec271f66bf64d1bcaf249ae55de3701ffe2f6e82402d93c35d4969c20340bd8"
+    },
+    {
+      "bytes": 74705,
+      "path": "data/internal_test/p4c/mathlib-001175-0000-33bc55b50f0c5d36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "33bc55b50f0c5d36ee59fd274b58679a446d60a13a8b8646e38ec883267db64b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001176.json b/manifests/batches/mathlib/001176.json
index 5489fa3a2acf8dd13e79eb90ef31a39dbe6a3986..7b53e26d800afa978d60b8976b85d2b403566b03 100644
--- a/manifests/batches/mathlib/001176.json
+++ b/manifests/batches/mathlib/001176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001176",
   "batch_fingerprint": "ed17fe65d902c663870384641f0f8f0a0d435bd2c54482f202ad59153fe3d2db",
   "evidence": {
@@ -1939,22 +1938,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001176-0000-2f42b444c6c74d84.parquet",
-      "sha256": "2f42b444c6c74d845fae796ca86940be8be2eebefdda69080063d2df79725324",
-      "bytes": 72258,
-      "rows": 19,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001176-0000-9c275cc73c6a8f95.parquet",
-      "sha256": "9c275cc73c6a8f95a1f020239a551bddf8c1907b7649b27e06a99f26c9b7eb2c",
-      "bytes": 34502,
-      "rows": 1,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Con.multiset_prod",
     "mathlib:Monoid.Coprod.fst_comp_toProd",
@@ -1990,5 +1974,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coprod/Basic.lean\",null,null,\"Monoid.Coprod.snd_comp_toProd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coprod/Basic.lean\",null,null,\"Monoid.Coprod.snd_toProd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coprod/Basic.lean\",null,null,\"Monoid.Coprod.toProd_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72258,
+      "path": "data/train/p41/mathlib-001176-0000-2f42b444c6c74d84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2f42b444c6c74d845fae796ca86940be8be2eebefdda69080063d2df79725324"
+    },
+    {
+      "bytes": 34502,
+      "path": "data/dev/p41/mathlib-001176-0000-9c275cc73c6a8f95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9c275cc73c6a8f95a1f020239a551bddf8c1907b7649b27e06a99f26c9b7eb2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001177.json b/manifests/batches/mathlib/001177.json
index 78335db3f292d267300c6c51ae91e01a627571bf..8644877271be227cd69c3a3cff171bbf92c6f0e7 100644
--- a/manifests/batches/mathlib/001177.json
+++ b/manifests/batches/mathlib/001177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001177",
   "batch_fingerprint": "ca6bf1c572d5458751b7ff039426fefa6c17c712fdef97c5f9ce50702397bc57",
   "evidence": {
@@ -4710,29 +4709,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001177-0000-38e35ea2521b5216.parquet",
-      "sha256": "38e35ea2521b5216a4885b8ce31ba1aaa1f1c2fe4a467fd6df90b7e279310c41",
-      "bytes": 177260,
-      "rows": 51,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001177-0000-84384612791ea9d0.parquet",
-      "sha256": "84384612791ea9d0f9e2daef9cd9dacf2ab5637b8b0b70365b0ba7f3e51a6c5d",
-      "bytes": 36432,
-      "rows": 3,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001177-0000-f2cddd4b8f04ddc8.parquet",
-      "sha256": "f2cddd4b8f04ddc8948358e965b9ba36caf8834acc6ed478f275b0fead4fb100",
-      "bytes": 44637,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Monoid.CoprodI.NeWord.append_prod",
     "mathlib:Monoid.CoprodI.NeWord.inv_last",
@@ -4820,5 +4797,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coset.lean\",null,null,\"one_leftCoset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coset.lean\",null,null,\"rightCoset_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coset.lean\",null,null,\"rightCoset_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177260,
+      "path": "data/train/pf3/mathlib-001177-0000-38e35ea2521b5216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "38e35ea2521b5216a4885b8ce31ba1aaa1f1c2fe4a467fd6df90b7e279310c41"
+    },
+    {
+      "bytes": 36432,
+      "path": "data/dev/pf3/mathlib-001177-0000-84384612791ea9d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "84384612791ea9d0f9e2daef9cd9dacf2ab5637b8b0b70365b0ba7f3e51a6c5d"
+    },
+    {
+      "bytes": 44637,
+      "path": "data/internal_test/pf3/mathlib-001177-0000-f2cddd4b8f04ddc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f2cddd4b8f04ddc8948358e965b9ba36caf8834acc6ed478f275b0fead4fb100"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001178.json b/manifests/batches/mathlib/001178.json
index bea7be230c833d73c5ebc51c18531a44f7c17b43..2a312302fcafb0b0f353ef94cfa828b58f63cd2f 100644
--- a/manifests/batches/mathlib/001178.json
+++ b/manifests/batches/mathlib/001178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001178",
   "batch_fingerprint": "5d8e4c4c72212bcec0b71ba4635c0ea26f3f6cfb46c1ece66559be4d90f6c8d8",
   "evidence": {
@@ -3760,29 +3759,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001178-0000-ffa50d341df29599.parquet",
-      "sha256": "ffa50d341df29599d86bf03b0de67bd9980840f0b9e7a54960435cd5d89a2f59",
-      "bytes": 129994,
-      "rows": 42,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001178-0000-86430e5b0365013b.parquet",
-      "sha256": "86430e5b0365013bba5a7da02bb1c4a3a922cd341d5616c9faf01973e2159e97",
-      "bytes": 46825,
-      "rows": 3,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001178-0000-5637136c351dd385.parquet",
-      "sha256": "5637136c351dd385e65b20259265a2c51c580568727df844236bd3dd6bac4988",
-      "bytes": 61200,
-      "rows": 10,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CoxeterSystem.IsReduced.nodup_leftInvSeq",
     "mathlib:CoxeterSystem.IsReflection.conj",
@@ -3844,5 +3821,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Inversion.lean\",null,null,\"CoxeterSystem.length_leftInvSeq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Inversion.lean\",null,null,\"CoxeterSystem.rightInvSeq_reverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Inversion.lean\",null,null,\"CoxeterSystem.rightInvSeq_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129994,
+      "path": "data/train/pf7/mathlib-001178-0000-ffa50d341df29599.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "ffa50d341df29599d86bf03b0de67bd9980840f0b9e7a54960435cd5d89a2f59"
+    },
+    {
+      "bytes": 46825,
+      "path": "data/dev/pf7/mathlib-001178-0000-86430e5b0365013b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "86430e5b0365013bba5a7da02bb1c4a3a922cd341d5616c9faf01973e2159e97"
+    },
+    {
+      "bytes": 61200,
+      "path": "data/internal_test/pf7/mathlib-001178-0000-5637136c351dd385.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5637136c351dd385e65b20259265a2c51c580568727df844236bd3dd6bac4988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001179.json b/manifests/batches/mathlib/001179.json
index 64907e3343fa4ebc4471bc425461a1c5b0b8c2ae..1e6eef477bc04724663ecd6c8a4d13e7b3a7b0aa 100644
--- a/manifests/batches/mathlib/001179.json
+++ b/manifests/batches/mathlib/001179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001179",
   "batch_fingerprint": "8fb11ce89e789cc7e01767fcc164074252e96ecd51a32ad78b85306529ba0fbf",
   "evidence": {
@@ -1502,29 +1501,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001179-0000-250f30baa3035ecd.parquet",
-      "sha256": "250f30baa3035ecd6651f24c4c297b49f6ad16a5581912d3dc4792333e3be483",
-      "bytes": 80882,
-      "rows": 26,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001179-0000-18cd49116151d66c.parquet",
-      "sha256": "18cd49116151d66c511b1737c1ab9911abdcf805b0d5748d8e3c42e904c72bb3",
-      "bytes": 45458,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001179-0000-cf30aeb2ea341058.parquet",
-      "sha256": "cf30aeb2ea341058b6bffb443090459d9d02627659f792409d29e5f354833b93",
-      "bytes": 31084,
-      "rows": 1,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CoxeterSystem.exists_reduced_word",
     "mathlib:CoxeterSystem.exists_reduced_word'",
@@ -1562,5 +1539,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Length.lean\",null,null,\"CoxeterSystem.length_wordProd_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Length.lean\",null,null,\"CoxeterSystem.not_isLeftDescent_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Coxeter/Length.lean\",null,null,\"CoxeterSystem.not_isRightDescent_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80882,
+      "path": "data/train/p7d/mathlib-001179-0000-250f30baa3035ecd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "250f30baa3035ecd6651f24c4c297b49f6ad16a5581912d3dc4792333e3be483"
+    },
+    {
+      "bytes": 45458,
+      "path": "data/dev/p7d/mathlib-001179-0000-18cd49116151d66c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "18cd49116151d66c511b1737c1ab9911abdcf805b0d5748d8e3c42e904c72bb3"
+    },
+    {
+      "bytes": 31084,
+      "path": "data/internal_test/p7d/mathlib-001179-0000-cf30aeb2ea341058.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cf30aeb2ea341058b6bffb443090459d9d02627659f792409d29e5f354833b93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001180.json b/manifests/batches/mathlib/001180.json
index f7db80f4ddb8cc4fd32a35d9c8c200e59a62c36a..6b6ab9532d46d78b8dd6f8c0a0c3dad00a6266f0 100644
--- a/manifests/batches/mathlib/001180.json
+++ b/manifests/batches/mathlib/001180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001180",
   "batch_fingerprint": "13c77efc6a966586ef6e1ba06f5b7309d0c667f9df93d8a7ff4e533205194cb0",
   "evidence": {
@@ -557,22 +556,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001180-0000-dfc8029b08c75786.parquet",
-      "sha256": "dfc8029b08c75786b1234cbb6f8cd4400b4a411cb4d727af1a7c7ec3d7f270ca",
-      "bytes": 135625,
-      "rows": 35,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001180-0000-7db4630bd1c2d076.parquet",
-      "sha256": "7db4630bd1c2d0764d683a329910b4d14638fbf7b47444e9bccd91957b9be29d",
-      "bytes": 46570,
-      "rows": 5,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Doset.disjoint_out'",
     "mathlib:Doset.doset_eq_image2",
@@ -600,5 +584,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/DoubleCoset.lean\",null,null,\"Doset.mk_out'_eq_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/DoubleCoset.lean\",null,null,\"Doset.right_bot_eq_right_quot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/DoubleCoset.lean\",null,null,\"Doset.union_quotToDoset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135625,
+      "path": "data/train/pb7/mathlib-001180-0000-dfc8029b08c75786.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "dfc8029b08c75786b1234cbb6f8cd4400b4a411cb4d727af1a7c7ec3d7f270ca"
+    },
+    {
+      "bytes": 46570,
+      "path": "data/dev/pb7/mathlib-001180-0000-7db4630bd1c2d076.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7db4630bd1c2d0764d683a329910b4d14638fbf7b47444e9bccd91957b9be29d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001181.json b/manifests/batches/mathlib/001181.json
index 38eee7250d651c0ef0e7049f815763baf8a50338..c94890ac5cd734bbfdfc3dd8e924fca9ef5e774e 100644
--- a/manifests/batches/mathlib/001181.json
+++ b/manifests/batches/mathlib/001181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001181",
   "batch_fingerprint": "00b6bb4e2912e3a497d1264ba1d2522347845ec8567c7b8a49349abeb5a90b8b",
   "evidence": {
@@ -2927,29 +2926,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001181-0000-96503c404adc940b.parquet",
-      "sha256": "96503c404adc940ba891cd48e448dd27f310f507cdd1ae905a49cd5a436aa571",
-      "bytes": 83666,
-      "rows": 27,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001181-0000-82de9d7f7af47d1d.parquet",
-      "sha256": "82de9d7f7af47d1d3a13a219236278e5bfd144c04cf8875a699bbd0318b53fa7",
-      "bytes": 37571,
-      "rows": 2,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001181-0000-416dc40bf4b0ed49.parquet",
-      "sha256": "416dc40bf4b0ed490bb7ede7214a21d71bb93d3feb4bb43b7dfbf5bbf27c6651",
-      "bytes": 35720,
-      "rows": 3,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EckmannHilton.mul_assoc",
     "mathlib:EckmannHilton.mul_comm",
@@ -2981,5 +2958,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Exponent.lean\",null,null,\"MonoidHom.exponent_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Exponent.lean\",null,null,\"mul_not_mem_of_orderOf_eq_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Exponent.lean\",null,null,\"orderOf_eq_two_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83666,
+      "path": "data/train/pb9/mathlib-001181-0000-96503c404adc940b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "96503c404adc940ba891cd48e448dd27f310f507cdd1ae905a49cd5a436aa571"
+    },
+    {
+      "bytes": 37571,
+      "path": "data/dev/pb9/mathlib-001181-0000-82de9d7f7af47d1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "82de9d7f7af47d1d3a13a219236278e5bfd144c04cf8875a699bbd0318b53fa7"
+    },
+    {
+      "bytes": 35720,
+      "path": "data/internal_test/pb9/mathlib-001181-0000-416dc40bf4b0ed49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "416dc40bf4b0ed490bb7ede7214a21d71bb93d3feb4bb43b7dfbf5bbf27c6651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001182.json b/manifests/batches/mathlib/001182.json
index 0233e0810586435e359a871db30b96b4ddf76f4a..0c4d49f4a12f72102f8736bb4e95c05a96035206 100644
--- a/manifests/batches/mathlib/001182.json
+++ b/manifests/batches/mathlib/001182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001182",
   "batch_fingerprint": "7d9714bead32e9b6e95f0b144dc4f451209b85278a256dadfb8157feed0d14ca",
   "evidence": {
@@ -1115,15 +1114,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001182-0000-7e64a374a8b25504.parquet",
-      "sha256": "7e64a374a8b255043139bbc25f4e3248432cf8255df372766a77a0d552a3a1b9",
-      "bytes": 85283,
-      "rows": 24,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubgroup.fg_iff_mul_fg",
     "mathlib:AddSubmonoid.fg_iff_mul_fg",
@@ -1147,5 +1138,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Finiteness.lean\",null,null,\"Subgroup.rank_congr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Finiteness.lean\",null,null,\"Submonoid.FG.map_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Finiteness.lean\",null,null,\"Submonoid.fg_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85283,
+      "path": "data/train/p7f/mathlib-001182-0000-7e64a374a8b25504.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7e64a374a8b255043139bbc25f4e3248432cf8255df372766a77a0d552a3a1b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001183.json b/manifests/batches/mathlib/001183.json
index 4da62d1f12138f3a7a745c92e1c582b1d41798a5..88024efab70a485473c55d2ab81c44ce8dc5e813 100644
--- a/manifests/batches/mathlib/001183.json
+++ b/manifests/batches/mathlib/001183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001183",
   "batch_fingerprint": "226c5116cf027350e71568d33d95dc43f8c1852a436b0c358848c3881ce04514",
   "evidence": {
@@ -218,15 +217,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001183-0000-edd8fbc4ada1bf2f.parquet",
-      "sha256": "edd8fbc4ada1bf2fadad9b14a2d6a992aac2cf13fb8070a3d4ba45d9bcf631d8",
-      "bytes": 101360,
-      "rows": 27,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.FixedPointFree.coe_eq_inv_of_sq_eq_one",
     "mathlib:MonoidHom.FixedPointFree.commutatorMap_injective",
@@ -244,5 +235,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FixedPointFree.lean\",null,null,\"MonoidHom.FixedPointFree.prod_pow_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Frattini.lean\",null,null,\"frattini_le_comap_frattini_of_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Frattini.lean\",null,null,\"frattini_nilpotent\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101360,
+      "path": "data/train/p58/mathlib-001183-0000-edd8fbc4ada1bf2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "edd8fbc4ada1bf2fadad9b14a2d6a992aac2cf13fb8070a3d4ba45d9bcf631d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001184.json b/manifests/batches/mathlib/001184.json
index 2d157c112cb27e88d4c06894ba85fefd4f5195ee..41c1d7d70c964fdd3b2e55703043f06c9510c12a 100644
--- a/manifests/batches/mathlib/001184.json
+++ b/manifests/batches/mathlib/001184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001184",
   "batch_fingerprint": "7ecd47932fcbc9cf1135af51fe962d18a4abf3e2dbe2accdc2e880dc56be77a5",
   "evidence": {
@@ -1072,22 +1071,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001184-0000-dc867b4171cb4f0b.parquet",
-      "sha256": "dc867b4171cb4f0b0df566a64bee835f59756c20c0ce2a4e23115d22661b3e72",
-      "bytes": 82989,
-      "rows": 27,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001184-0000-2e69bbcf57f63670.parquet",
-      "sha256": "2e69bbcf57f636706edc427d93acf4d5e02a691411fc55f860326265b2e3a484",
-      "bytes": 43684,
-      "rows": 6,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.toFreeAbelianGroup_comp_singleAddHom",
     "mathlib:Finsupp.toFreeAbelianGroup_comp_toFinsupp",
@@ -1129,5 +1113,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeAbelianGroupFinsupp.lean\",null,null,\"FreeAbelianGroup.toFinsupp_comp_toFreeAbelianGroup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeAbelianGroupFinsupp.lean\",null,null,\"FreeAbelianGroup.toFinsupp_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeAbelianGroupFinsupp.lean\",null,null,\"FreeAbelianGroup.toFinsupp_toFreeAbelianGroup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82989,
+      "path": "data/train/pd1/mathlib-001184-0000-dc867b4171cb4f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "dc867b4171cb4f0b0df566a64bee835f59756c20c0ce2a4e23115d22661b3e72"
+    },
+    {
+      "bytes": 43684,
+      "path": "data/internal_test/pd1/mathlib-001184-0000-2e69bbcf57f63670.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2e69bbcf57f636706edc427d93acf4d5e02a691411fc55f860326265b2e3a484"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001185.json b/manifests/batches/mathlib/001185.json
index 991c67f502b0fde7e38714e4c42cf8d3a1045259..7d8f1ea8ea42c74f1787d34ab078aa3924a9837c 100644
--- a/manifests/batches/mathlib/001185.json
+++ b/manifests/batches/mathlib/001185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001185",
   "batch_fingerprint": "b89403e71e81b0d01ad86af243e7ceef05b7c2251a48869320c995917cef691f",
   "evidence": {
@@ -3891,29 +3890,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001185-0000-6f9754f6a3b43748.parquet",
-      "sha256": "6f9754f6a3b43748bfe3cb6798fad16eea033289b2f20a6b9576f1ffd5b3e834",
-      "bytes": 136090,
-      "rows": 44,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/dev/mathlib-001185-0000-07cafe95d6ce112e.parquet",
-      "sha256": "07cafe95d6ce112eb96557bfcd0eb569a6cfb2f081d21758bfabcb34cfab1ecc",
-      "bytes": 38675,
-      "rows": 1,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001185-0000-818c4383d1428b25.parquet",
-      "sha256": "818c4383d1428b25fc7fe2fe55bb00e9a9b8ae208e20173c3a77d2725dea5609",
-      "bytes": 58121,
-      "rows": 14,
-      "revision": "fe52c70f935589d9be81d06a5900110f02b377a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FreeGroup.Red.Step.append_left",
     "mathlib:FreeGroup.Red.Step.append_right",
@@ -3973,5 +3950,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeGroup/Basic.lean\",null,null,\"FreeGroup.toWord_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeGroup/IsFreeGroup.lean\",null,null,\"FreeGroupBasis.repr_apply_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/FreeGroup/IsFreeGroup.lean\",null,null,\"IsFreeGroup.unique_lift\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136090,
+      "path": "data/train/pbe/mathlib-001185-0000-6f9754f6a3b43748.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "6f9754f6a3b43748bfe3cb6798fad16eea033289b2f20a6b9576f1ffd5b3e834"
+    },
+    {
+      "bytes": 38675,
+      "path": "data/dev/pbe/mathlib-001185-0000-07cafe95d6ce112e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "07cafe95d6ce112eb96557bfcd0eb569a6cfb2f081d21758bfabcb34cfab1ecc"
+    },
+    {
+      "bytes": 58121,
+      "path": "data/internal_test/pbe/mathlib-001185-0000-818c4383d1428b25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "818c4383d1428b25fc7fe2fe55bb00e9a9b8ae208e20173c3a77d2725dea5609"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001186.json b/manifests/batches/mathlib/001186.json
index 4a94b047d9cf7b141acf8652d0a5ad81b0aac6d0..2110caec00a1b57b1aa6a6c7c9b94245024530c5 100644
--- a/manifests/batches/mathlib/001186.json
+++ b/manifests/batches/mathlib/001186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001186",
   "batch_fingerprint": "a39e0f4eb1c9728a772e73098232faeca25991ac21d07e6db1abfff4b088f241",
   "evidence": {
@@ -2445,29 +2444,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001186-0000-046e9cc4c94fe575.parquet",
-      "sha256": "046e9cc4c94fe5757fd832ddecdcb46085e4cc33a0d664124d6324851ccdfb68",
-      "bytes": 164698,
-      "rows": 40,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001186-0000-b3558c8a0a30ef51.parquet",
-      "sha256": "b3558c8a0a30ef511d8c4d9dcbceafca16dce4b59272758779e7f655c201f7a9",
-      "bytes": 36507,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001186-0000-d410ae38cc17a257.parquet",
-      "sha256": "d410ae38cc17a257174bfab46e81aab62f0c166e67e6e7c8f95639140c3a1b6d",
-      "bytes": 50538,
-      "rows": 7,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddAction.stabilizer_vadd_eq_stabilizer_map_conj",
     "mathlib:IsFreeGroupoid.SpanningTree.treeHom_eq",
@@ -2521,5 +2498,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Basic.lean\",null,null,\"MulAction.stabilizer_smul_eq_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Basic.lean\",null,null,\"MulAction.stabilizer_smul_eq_stabilizer_map_conj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Basic.lean\",null,null,\"smul_cancel_of_non_zero_divisor\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164698,
+      "path": "data/train/p21/mathlib-001186-0000-046e9cc4c94fe575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "046e9cc4c94fe5757fd832ddecdcb46085e4cc33a0d664124d6324851ccdfb68"
+    },
+    {
+      "bytes": 36507,
+      "path": "data/dev/p21/mathlib-001186-0000-b3558c8a0a30ef51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b3558c8a0a30ef511d8c4d9dcbceafca16dce4b59272758779e7f655c201f7a9"
+    },
+    {
+      "bytes": 50538,
+      "path": "data/internal_test/p21/mathlib-001186-0000-d410ae38cc17a257.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d410ae38cc17a257174bfab46e81aab62f0c166e67e6e7c8f95639140c3a1b6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001187.json b/manifests/batches/mathlib/001187.json
index f860633945ae9e7e344f2273e44ce193c70e188f..11b2a1d050cca32bd1f33684668d127ba5685c8d 100644
--- a/manifests/batches/mathlib/001187.json
+++ b/manifests/batches/mathlib/001187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001187",
   "batch_fingerprint": "7d9e587edeb26b53801ffdc5e129e7becbb61931caf16c257563146b6243b46d",
   "evidence": {
@@ -1822,15 +1821,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001187-0000-fa6b3d19ce65ba6c.parquet",
-      "sha256": "fa6b3d19ce65ba6cd2dd5db1d80c4103fe74af07162d639fd573412c0d71fda2",
-      "bytes": 134198,
-      "rows": 37,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulAction.IsBlock.def",
     "mathlib:MulAction.IsBlock.iff_subtype_val",
@@ -1864,5 +1855,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Blocks.lean\",null,null,\"MulAction.orbit.eq_or_disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Blocks.lean\",null,null,\"MulAction.orbit.isBlock_of_normal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Blocks.lean\",null,null,\"MulAction.orbit.pairwiseDisjoint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134198,
+      "path": "data/train/p38/mathlib-001187-0000-fa6b3d19ce65ba6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "fa6b3d19ce65ba6cd2dd5db1d80c4103fe74af07162d639fd573412c0d71fda2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001188.json b/manifests/batches/mathlib/001188.json
index f8d6e71043ad85fb48e959e1243a17cd4473e65e..412332253a2adf961d24b47cedd470a97e28ebf2 100644
--- a/manifests/batches/mathlib/001188.json
+++ b/manifests/batches/mathlib/001188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001188",
   "batch_fingerprint": "5e7f7d9ecc3eeca5e48a374ee4f6573b46e6be46b6205dbed969e9d3d510ba31",
   "evidence": {
@@ -722,22 +721,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001188-0000-8cd8427fdb2db34f.parquet",
-      "sha256": "8cd8427fdb2db34f4107eb5690388fbf6d30212665614b5d0d7908c85def36e4",
-      "bytes": 52463,
-      "rows": 9,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001188-0000-c75a112bdd7cf4cb.parquet",
-      "sha256": "c75a112bdd7cf4cb722ca6aa9b9d05a2bdd888e156f756e78079b0c56cb8469a",
-      "bytes": 52659,
-      "rows": 3,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ConjAct.fixedPoints_eq_center",
     "mathlib:ConjAct.mem_orbit_conjAct",
@@ -755,5 +739,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Defs.lean\",null,null,\"smul_ite_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Defs.lean\",null,null,\"smul_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Defs.lean\",null,null,\"smul_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52463,
+      "path": "data/train/pc6/mathlib-001188-0000-8cd8427fdb2db34f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8cd8427fdb2db34f4107eb5690388fbf6d30212665614b5d0d7908c85def36e4"
+    },
+    {
+      "bytes": 52659,
+      "path": "data/dev/pc6/mathlib-001188-0000-c75a112bdd7cf4cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c75a112bdd7cf4cb722ca6aa9b9d05a2bdd888e156f756e78079b0c56cb8469a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001189.json b/manifests/batches/mathlib/001189.json
index bda1339e6ba26afdd6f774ce928703d4ed6bd58e..112cdcaa56913db02558c2c90b811e0921687792 100644
--- a/manifests/batches/mathlib/001189.json
+++ b/manifests/batches/mathlib/001189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001189",
   "batch_fingerprint": "264c1e9f0328e8873d930f1e1ea5ed7258bbb389466f36e4b488c48b64bf6870",
   "evidence": {
@@ -437,7 +436,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001190.json b/manifests/batches/mathlib/001190.json
index a9a7f5357789dc0b38650d586d3ae01cbed51683..9b7990842776d55a3f0123f3253561774f933d4a 100644
--- a/manifests/batches/mathlib/001190.json
+++ b/manifests/batches/mathlib/001190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001190",
   "batch_fingerprint": "dfc301701f92b3411df575d2c0715feb299903b9d34757b26ea12c2c01989be2",
   "evidence": {
@@ -338,15 +337,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001190-0000-a15a85e25ea183ce.parquet",
-      "sha256": "a15a85e25ea183cee27f9776c995b8ff53009aab32d83e1d76cdd42e996e5e89",
-      "bytes": 84655,
-      "rows": 20,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulAction.fixedBy_eq_univ_iff_eq_one",
     "mathlib:MulAction.fixedBy_inv",
@@ -372,5 +363,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/FixedPoints.lean\",null,null,\"MulAction.smul_fixedBy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/FixedPoints.lean\",null,null,\"MulAction.smul_inv_mem_fixedBy_iff_mem_fixedBy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/FixedPoints.lean\",null,null,\"MulAction.smul_mem_fixedBy_iff_mem_fixedBy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84655,
+      "path": "data/train/p34/mathlib-001190-0000-a15a85e25ea183ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a15a85e25ea183cee27f9776c995b8ff53009aab32d83e1d76cdd42e996e5e89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001191.json b/manifests/batches/mathlib/001191.json
index d230827ed032c54d4c0e12b24c41d989625bb175..fcbff85018856666d677bdeed1fd8a140956d97d 100644
--- a/manifests/batches/mathlib/001191.json
+++ b/manifests/batches/mathlib/001191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001191",
   "batch_fingerprint": "7956a196933498fca6c0a5eab768bb2ae27bc1f68987f67165dcb333f4dbb448",
   "evidence": {
@@ -1009,22 +1008,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001191-0000-1cb6bc444294e68e.parquet",
-      "sha256": "1cb6bc444294e68e3504136e19ff13ef1716d685ca8547509678c5b2f6fa5e1e",
-      "bytes": 60871,
-      "rows": 11,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001191-0000-fcec9e1dc0fcb274.parquet",
-      "sha256": "fcec9e1dc0fcb27404136468f70c68426e9cec00ed23acfdcde5b586e104f6aa",
-      "bytes": 42661,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.smul_left_iff",
     "mathlib:inv_smul_smul",
@@ -1044,5 +1028,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Group.lean\",null,null,\"smul_eq_zero_iff_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Group.lean\",null,null,\"smul_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Group.lean\",null,null,\"smul_zpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60871,
+      "path": "data/train/p2d/mathlib-001191-0000-1cb6bc444294e68e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1cb6bc444294e68e3504136e19ff13ef1716d685ca8547509678c5b2f6fa5e1e"
+    },
+    {
+      "bytes": 42661,
+      "path": "data/dev/p2d/mathlib-001191-0000-fcec9e1dc0fcb274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fcec9e1dc0fcb27404136468f70c68426e9cec00ed23acfdcde5b586e104f6aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001192.json b/manifests/batches/mathlib/001192.json
index 42c54ca4ddd9a602bf3d4b3a49a805972682a047..0e7ca2a3e6db549b9beeaa396bb6a548a852c377 100644
--- a/manifests/batches/mathlib/001192.json
+++ b/manifests/batches/mathlib/001192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001192",
   "batch_fingerprint": "7b5e44634a0681321bb99ea8cc8bebbe9b3a8865da1750ca593313c6e455be56",
   "evidence": {
@@ -1074,29 +1073,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001192-0000-9e443178ad8efd7f.parquet",
-      "sha256": "9e443178ad8efd7fb15b405ef14aa7af6e6d5034d70025ee823b089e966896c6",
-      "bytes": 107584,
-      "rows": 19,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001192-0000-d73a030b147df29f.parquet",
-      "sha256": "d73a030b147df29fa7de367fb3508578e746f30ea6c28a89801e165ee2116b4a",
-      "bytes": 43096,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001192-0000-da672c57597c8ccd.parquet",
-      "sha256": "da672c57597c8ccd20eb917af34018711855fae5c48196d01c2a67fa9522a904",
-      "bytes": 43076,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DistribMulActionHom.comp_id",
     "mathlib:DistribMulActionHom.ext_ring",
@@ -1128,5 +1105,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Hom.lean\",null,null,\"MulActionHom.inverse_eq_inverse'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Hom.lean\",null,null,\"MulSemiringActionHom.comp_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Hom.lean\",null,null,\"MulSemiringActionHom.id_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107584,
+      "path": "data/train/pfc/mathlib-001192-0000-9e443178ad8efd7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9e443178ad8efd7fb15b405ef14aa7af6e6d5034d70025ee823b089e966896c6"
+    },
+    {
+      "bytes": 43096,
+      "path": "data/dev/pfc/mathlib-001192-0000-d73a030b147df29f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d73a030b147df29fa7de367fb3508578e746f30ea6c28a89801e165ee2116b4a"
+    },
+    {
+      "bytes": 43076,
+      "path": "data/internal_test/pfc/mathlib-001192-0000-da672c57597c8ccd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "da672c57597c8ccd20eb917af34018711855fae5c48196d01c2a67fa9522a904"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001193.json b/manifests/batches/mathlib/001193.json
index c62dc6904adbfd08787eb7f6cdfbe17de0b678e4..cbef5f3f0a62b0a11638fc1b2a3c195bde794afb 100644
--- a/manifests/batches/mathlib/001193.json
+++ b/manifests/batches/mathlib/001193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001193",
   "batch_fingerprint": "05ced3fee4d130edee98d6eb18c99ad080988342f29ef163a1dd04eba3a82f48",
   "evidence": {
@@ -282,22 +281,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001193-0000-213797fd8e1cedbb.parquet",
-      "sha256": "213797fd8e1cedbbc77e2b65ca5efbab1ac6630b7d9b3dae7de31f1b1338847e",
-      "bytes": 49694,
-      "rows": 7,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001193-0000-ccbf1e5c9013e2a7.parquet",
-      "sha256": "ccbf1e5c9013e2a7416378650611f03092a466b8894e084a94216c797ba17f49",
-      "bytes": 31922,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulAction.period_bounded_of_exponent_pos",
     "mathlib:MulAction.period_dvd_exponent",
@@ -311,5 +295,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Period.lean\",null,null,\"MulAction.period_dvd_orderOf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Period.lean\",null,null,\"MulAction.period_eq_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Period.lean\",null,null,\"MulAction.period_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49694,
+      "path": "data/train/p8b/mathlib-001193-0000-213797fd8e1cedbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "213797fd8e1cedbbc77e2b65ca5efbab1ac6630b7d9b3dae7de31f1b1338847e"
+    },
+    {
+      "bytes": 31922,
+      "path": "data/internal_test/p8b/mathlib-001193-0000-ccbf1e5c9013e2a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ccbf1e5c9013e2a7416378650611f03092a466b8894e084a94216c797ba17f49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001194.json b/manifests/batches/mathlib/001194.json
index d52e420f1703ff11079a7ed476aa82bec3ebdaa2..f64ec1a67700bd2f0e9f1ca63974abd518af1cac 100644
--- a/manifests/batches/mathlib/001194.json
+++ b/manifests/batches/mathlib/001194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001194",
   "batch_fingerprint": "4b8d2eedf4144ebae49177d81e8170480fb6b1cda035a02267d36b924b23b54f",
   "evidence": {
@@ -662,15 +661,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001194-0000-dc6b2eb43a569ee0.parquet",
-      "sha256": "dc6b2eb43a569ee04de16d6b51470e920f4554f18459b6cd49f7ddff2cf49897",
-      "bytes": 59307,
-      "rows": 4,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.extend_smul",
     "mathlib:image_smul_set\u209b\u2097"
@@ -678,5 +669,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Pi.lean\",null,null,\"Function.extend_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Pointwise.lean\",null,null,\"image_smul_set\u209b\u2097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59307,
+      "path": "data/train/p63/mathlib-001194-0000-dc6b2eb43a569ee0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dc6b2eb43a569ee04de16d6b51470e920f4554f18459b6cd49f7ddff2cf49897"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001195.json b/manifests/batches/mathlib/001195.json
index 0ba1576fbbc833feb5e90a7b9482bfb32cf03cc3..704820b2baf397ccd94039d178fd83815d583fba 100644
--- a/manifests/batches/mathlib/001195.json
+++ b/manifests/batches/mathlib/001195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001195",
   "batch_fingerprint": "0e91c9ab2281201e8ba5b00c331da2fee803bd09c5c4c9be6d768d1c4dce94b3",
   "evidence": {
@@ -860,15 +859,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001195-0000-1edd8d2c9170a8f0.parquet",
-      "sha256": "1edd8d2c9170a8f0fde1fb76cdcc2e7873f8f587a27d39044a9024361108b521",
-      "bytes": 63400,
-      "rows": 9,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulAction.Quotient.mk_smul_out'",
     "mathlib:MulAction.injective_ofQuotientStabilizer",
@@ -884,5 +875,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Quotient.lean\",null,null,\"MulAction.stabilizer_quotient\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Quotient.lean\",null,null,\"MulAction.sum_card_fixedBy_eq_card_orbits_mul_card_group\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Quotient.lean\",null,null,\"QuotientGroup.out'_conj_pow_minimalPeriod_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63400,
+      "path": "data/train/p1a/mathlib-001195-0000-1edd8d2c9170a8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1edd8d2c9170a8f0fde1fb76cdcc2e7873f8f587a27d39044a9024361108b521"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001196.json b/manifests/batches/mathlib/001196.json
index f34394430743cb235ddb07375e23ff456a1d8381..2fb827916d95a4d0598ad97ded1602ce48d61318 100644
--- a/manifests/batches/mathlib/001196.json
+++ b/manifests/batches/mathlib/001196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001196",
   "batch_fingerprint": "4fe2435523fa7049b0fcdec997572777a3ae09c97ee5e49436a35a54ae775ad6",
   "evidence": {
@@ -656,29 +655,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001196-0000-49b286c17c95fec3.parquet",
-      "sha256": "49b286c17c95fec3d7faeef37d5514de2037872b9984cb83f35a25e79ebba801",
-      "bytes": 67402,
-      "rows": 13,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001196-0000-6c8a234c0a821829.parquet",
-      "sha256": "6c8a234c0a8218296e85f5e748291f0ef7a886e2f9a37fdf175f168b9561e218",
-      "bytes": 38334,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001196-0000-7dc53f7ce89ff715.parquet",
-      "sha256": "7dc53f7ce89ff715a074ac260b0bef873bcc7a91460ed5bdd556db398296b46f",
-      "bytes": 43437,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SetLike.forall_smul_mem_iff",
     "mathlib:SubMulAction.mem_orbit_subMul_iff",
@@ -700,5 +677,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/SubMulAction.lean\",null,null,\"SubMulAction.stabilizer_of_subMul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/SubMulAction.lean\",null,null,\"SubMulAction.stabilizer_of_subMul.submonoid\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/SubMulAction.lean\",null,null,\"SubMulAction.val_preimage_orbit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67402,
+      "path": "data/train/pa7/mathlib-001196-0000-49b286c17c95fec3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "49b286c17c95fec3d7faeef37d5514de2037872b9984cb83f35a25e79ebba801"
+    },
+    {
+      "bytes": 38334,
+      "path": "data/dev/pa7/mathlib-001196-0000-6c8a234c0a821829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6c8a234c0a8218296e85f5e748291f0ef7a886e2f9a37fdf175f168b9561e218"
+    },
+    {
+      "bytes": 43437,
+      "path": "data/internal_test/pa7/mathlib-001196-0000-7dc53f7ce89ff715.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7dc53f7ce89ff715a074ac260b0bef873bcc7a91460ed5bdd556db398296b46f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001197.json b/manifests/batches/mathlib/001197.json
index 6a34584d45a2822ea6c28555170fe6c20a705ed9..3efdff6c4ad8c416c0b8036f52e1ff859c41d719 100644
--- a/manifests/batches/mathlib/001197.json
+++ b/manifests/batches/mathlib/001197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001197",
   "batch_fingerprint": "13369d81f9b25012aa223772879aee0821fde4bd3d09757b344b2a024073bb1f",
   "evidence": {
@@ -292,19 +291,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001197-0000-44fc1fe9ffc793a7.parquet",
-      "sha256": "44fc1fe9ffc793a78a25de2cc452129c68fc6bf729559edc9b39d6268c700e44",
-      "bytes": 33769,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Sum.smul_swap"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/GroupAction/Sum.lean\",null,null,\"Sum.smul_swap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33769,
+      "path": "data/train/p43/mathlib-001197-0000-44fc1fe9ffc793a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "44fc1fe9ffc793a78a25de2cc452129c68fc6bf729559edc9b39d6268c700e44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001198.json b/manifests/batches/mathlib/001198.json
index fec7ec45b13001d49733684e1a353f71c5cba1a0..923887b987d5fcb6b2e7ed9546bf1f5afb641885 100644
--- a/manifests/batches/mathlib/001198.json
+++ b/manifests/batches/mathlib/001198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001198",
   "batch_fingerprint": "f737b12b67d2f1e033a93cedf43ce09233b57e2a4fa88831a7106ff22c40dad0",
   "evidence": {
@@ -217,7 +216,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001199.json b/manifests/batches/mathlib/001199.json
index 9eacaf93ff5b7c8ce3a20adefd42c49f46ba4f93..5d09bf3b52c3afd2db857dec5570886936a4aee6 100644
--- a/manifests/batches/mathlib/001199.json
+++ b/manifests/batches/mathlib/001199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001199",
   "batch_fingerprint": "299f73013f2da00363e23f42a7b3d874dbe299173c19fa53251d564b83ab0d09",
   "evidence": {
@@ -3004,22 +3003,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001199-0000-a7868ebb42395bf1.parquet",
-      "sha256": "a7868ebb42395bf1063bc7fe906554cee43df55f6ee8201bb7b4b93f1992b968",
-      "bytes": 187441,
-      "rows": 61,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001199-0000-24eb58dbfcb98228.parquet",
-      "sha256": "24eb58dbfcb98228a2e85b18336a03b87ea62d561c38b8a99f01d688a30c739f",
-      "bytes": 77023,
-      "rows": 19,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HNNExtension.NormalWord.ext",
     "mathlib:HNNExtension.NormalWord.not_cancels_of_cons_hyp",
@@ -3113,5 +3097,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Index.lean\",null,null,\"Subgroup.relindex_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Index.lean\",null,null,\"Subgroup.relindex_sup_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Index.lean\",null,null,\"Subgroup.relindex_top_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187441,
+      "path": "data/train/p77/mathlib-001199-0000-a7868ebb42395bf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "a7868ebb42395bf1063bc7fe906554cee43df55f6ee8201bb7b4b93f1992b968"
+    },
+    {
+      "bytes": 77023,
+      "path": "data/internal_test/p77/mathlib-001199-0000-24eb58dbfcb98228.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "24eb58dbfcb98228a2e85b18336a03b87ea62d561c38b8a99f01d688a30c739f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001200.json b/manifests/batches/mathlib/001200.json
index 112094c290b4637eb1c5fdce9ea2d02ddceafb00..7e27db589e72a719e626b3e2f9f99d23f6ea5a98 100644
--- a/manifests/batches/mathlib/001200.json
+++ b/manifests/batches/mathlib/001200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001200",
   "batch_fingerprint": "bbab8ea1944a2ddfaec7ec00efb14d0cfa59118ca1d60e7707481cffb5856202",
   "evidence": {
@@ -5492,29 +5491,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001200-0000-52831622ad20b915.parquet",
-      "sha256": "52831622ad20b915adf6764abf088270400e9764ea440611b95f0c6eff9c93d3",
-      "bytes": 480731,
-      "rows": 139,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001200-0000-1d1646f0ebd82495.parquet",
-      "sha256": "1d1646f0ebd8249551de1a42216115be1e161941b6de12eb4380c1c4c97d6f93",
-      "bytes": 77053,
-      "rows": 7,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001200-0000-8c83c3753726f972.parquet",
-      "sha256": "8c83c3753726f972198c7b414c79b8c388ccf56746273246e79323ac82939359",
-      "bytes": 67368,
-      "rows": 11,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommGroup.nilpotencyClass_le_one",
     "mathlib:Localization.Away.mk_eq_monoidOf_mk'",
@@ -5672,5 +5649,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Nilpotent.lean\",null,null,\"nilpotencyClass_zero_iff_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Nilpotent.lean\",null,null,\"upperCentralSeriesStep_eq_comap_center\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Nilpotent.lean\",null,null,\"upperCentralSeries_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 480731,
+      "path": "data/train/p1d/mathlib-001200-0000-52831622ad20b915.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 139,
+      "sha256": "52831622ad20b915adf6764abf088270400e9764ea440611b95f0c6eff9c93d3"
+    },
+    {
+      "bytes": 77053,
+      "path": "data/dev/p1d/mathlib-001200-0000-1d1646f0ebd82495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1d1646f0ebd8249551de1a42216115be1e161941b6de12eb4380c1c4c97d6f93"
+    },
+    {
+      "bytes": 67368,
+      "path": "data/internal_test/p1d/mathlib-001200-0000-8c83c3753726f972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8c83c3753726f972198c7b414c79b8c388ccf56746273246e79323ac82939359"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001201.json b/manifests/batches/mathlib/001201.json
index ca9f08db1a2f1fccd58a612de47b93d26544d503..b347c252d82bc2f07400bbb022228a0f861388fe 100644
--- a/manifests/batches/mathlib/001201.json
+++ b/manifests/batches/mathlib/001201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001201",
   "batch_fingerprint": "6d2772833197090467fe9b95131262aee1cf3816aa4897f9eca5e73f31d66493",
   "evidence": {
@@ -785,22 +784,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001201-0000-5c7b4443652ec09f.parquet",
-      "sha256": "5c7b4443652ec09fa93744567a2e2eb746fb7759872fcf01cb737655cd56bce0",
-      "bytes": 63423,
-      "rows": 8,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001201-0000-b9782ac5311059e1.parquet",
-      "sha256": "b9782ac5311059e1f2cc8abc811dd753ff361797da63716a4a45e3e3bb98ca56",
-      "bytes": 36435,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MonoidHom.comp_noncommCoprod",
     "mathlib:MonoidHom.noncommCoprod_comp_inl",
@@ -820,5 +804,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/NoncommPiCoprod.lean\",null,null,\"Subgroup.independent_of_coprime_order\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/NoncommPiCoprod.lean\",null,null,\"Subgroup.noncommPiCoprod_mulSingle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/NoncommPiCoprod.lean\",null,null,\"Subgroup.noncommPiCoprod_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63423,
+      "path": "data/train/pfb/mathlib-001201-0000-5c7b4443652ec09f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5c7b4443652ec09fa93744567a2e2eb746fb7759872fcf01cb737655cd56bce0"
+    },
+    {
+      "bytes": 36435,
+      "path": "data/internal_test/pfb/mathlib-001201-0000-b9782ac5311059e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b9782ac5311059e1f2cc8abc811dd753ff361797da63716a4a45e3e3bb98ca56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001202.json b/manifests/batches/mathlib/001202.json
index 1e943e667f42e9fc800b391967043a2dc15e5ebb..0bdacd984a0dd39157020e48851be5687e9e243a 100644
--- a/manifests/batches/mathlib/001202.json
+++ b/manifests/batches/mathlib/001202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001202",
   "batch_fingerprint": "b73a2a4fc4baae531fe46d258a509e51c873cb0f914fd98408903024b0e018e0",
   "evidence": {
@@ -3686,29 +3685,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001202-0000-84dfcffe7919c02e.parquet",
-      "sha256": "84dfcffe7919c02e4f16d60338d7c4f0b1043d8fdc56950d502360232eea5ca7",
-      "bytes": 239634,
-      "rows": 77,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001202-0000-bdf361ca150c75d3.parquet",
-      "sha256": "bdf361ca150c75d307f01724ab15d8bd8880666fc9e40d68b0b2078ca32a9f0b",
-      "bytes": 68412,
-      "rows": 11,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001202-0000-9d0811d5a6603523.parquet",
-      "sha256": "9d0811d5a6603523bafc490b3ffac7e14372d3c255fea3620bd5ec5addfebbeb",
-      "bytes": 54614,
-      "rows": 7,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CharP.addOrderOf_one",
     "mathlib:Commute.orderOf_mul_dvd_lcm",
@@ -3832,5 +3809,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/OrderOfElement.lean\",null,null,\"zpow_mod_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/OrderOfElement.lean\",null,null,\"zpow_mod_natCard\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/OrderOfElement.lean\",null,null,\"zpowersEquivZPowers_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239634,
+      "path": "data/train/p64/mathlib-001202-0000-84dfcffe7919c02e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "84dfcffe7919c02e4f16d60338d7c4f0b1043d8fdc56950d502360232eea5ca7"
+    },
+    {
+      "bytes": 68412,
+      "path": "data/dev/p64/mathlib-001202-0000-bdf361ca150c75d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bdf361ca150c75d307f01724ab15d8bd8880666fc9e40d68b0b2078ca32a9f0b"
+    },
+    {
+      "bytes": 54614,
+      "path": "data/internal_test/p64/mathlib-001202-0000-9d0811d5a6603523.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9d0811d5a6603523bafc490b3ffac7e14372d3c255fea3620bd5ec5addfebbeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001203.json b/manifests/batches/mathlib/001203.json
index 14e811d55b9ea057a5bf6c65f5c47627f1d1308f..efd5006f26ee76465e2455ef38465e65379f5fed 100644
--- a/manifests/batches/mathlib/001203.json
+++ b/manifests/batches/mathlib/001203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001203",
   "batch_fingerprint": "c8ea0c0b0137f8b96c85f0b4404633364550e0b9edef60881f55c0a0ef653059",
   "evidence": {
@@ -3106,29 +3105,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001203-0000-42f79688fc7c4871.parquet",
-      "sha256": "42f79688fc7c487107df2126e2037f901c4a87bd6c9436741ea5c10c90865a02",
-      "bytes": 188944,
-      "rows": 61,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001203-0000-5d63da75d083e90d.parquet",
-      "sha256": "5d63da75d083e90d16c846edfd0f33c62269f5e6d9efb1aacdc134af04a3ceef",
-      "bytes": 34165,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001203-0000-461473bba70310f1.parquet",
-      "sha256": "461473bba70310f17554dd44e53d85b7f694c1ab1f4b9c8d7333f9590cab572c",
-      "bytes": 49299,
-      "rows": 10,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.inv_aux",
     "mathlib:Equiv.Perm.sigmaCongrRightHom_injective",
@@ -3196,5 +3173,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Basic.lean\",null,null,\"Set.BijOn.perm_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Basic.lean\",null,null,\"Set.MapsTo.perm_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Basic.lean\",null,null,\"Set.SurjOn.perm_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188944,
+      "path": "data/train/p01/mathlib-001203-0000-42f79688fc7c4871.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "42f79688fc7c487107df2126e2037f901c4a87bd6c9436741ea5c10c90865a02"
+    },
+    {
+      "bytes": 34165,
+      "path": "data/dev/p01/mathlib-001203-0000-5d63da75d083e90d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5d63da75d083e90d16c846edfd0f33c62269f5e6d9efb1aacdc134af04a3ceef"
+    },
+    {
+      "bytes": 49299,
+      "path": "data/internal_test/p01/mathlib-001203-0000-461473bba70310f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "461473bba70310f17554dd44e53d85b7f694c1ab1f4b9c8d7333f9590cab572c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001204.json b/manifests/batches/mathlib/001204.json
index aaf337a3c937b17e02e6e299bacfb0a808477898..dbde72f14d7966908c144dde51d2fba1cc7c832c 100644
--- a/manifests/batches/mathlib/001204.json
+++ b/manifests/batches/mathlib/001204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001204",
   "batch_fingerprint": "23753b9baf5fa0b6abb7d6b9e437e6326ab22db1b62479b5cb668573935fad56",
   "evidence": {
@@ -968,15 +967,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001204-0000-b33953012b2edcec.parquet",
-      "sha256": "b33953012b2edcec7f6b4178687df05c4008147d63748e7fde922209b7bf7072",
-      "bytes": 63739,
-      "rows": 9,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.IsSwap.finite_compl_fixedBy",
     "mathlib:Equiv.Perm.closure_prime_cycle_swap",
@@ -986,5 +977,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Closure.lean\",null,null,\"Equiv.Perm.closure_prime_cycle_swap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/ClosureSwap.lean\",null,null,\"Equiv.Perm.IsSwap.finite_compl_fixedBy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/ClosureSwap.lean\",null,null,\"closure_of_isSwap_of_isPretransitive\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63739,
+      "path": "data/train/p99/mathlib-001204-0000-b33953012b2edcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b33953012b2edcec7f6b4178687df05c4008147d63748e7fde922209b7bf7072"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001205.json b/manifests/batches/mathlib/001205.json
index 5995fb56f115f2d311f4a7583c4277349b0f9948..69c002c39b706d47d13e9104029b3a9fd21b1cd5 100644
--- a/manifests/batches/mathlib/001205.json
+++ b/manifests/batches/mathlib/001205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001205",
   "batch_fingerprint": "300623ed136f58b034103761b33fabe723cafc037aee88adea4825bc4338b893",
   "evidence": {
@@ -5623,29 +5622,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001205-0000-4f1b3d1492c55e3a.parquet",
-      "sha256": "4f1b3d1492c55e3a9054c696295936f67fda66f1e0d69f6274743ce49c63867c",
-      "bytes": 271727,
-      "rows": 94,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001205-0000-6017056e38f98944.parquet",
-      "sha256": "6017056e38f989441ac1fab8dd4cff855ef7c516c1410ff2c0847b13034527b9",
-      "bytes": 46497,
-      "rows": 4,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001205-0000-7c91d6cde3d7f4de.parquet",
-      "sha256": "7c91d6cde3d7f4dec26f6e7ae29ef85bf90e646225d651bc94cff0bcb840bd91",
-      "bytes": 44136,
-      "rows": 5,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cycle.formPerm_eq_formPerm_iff",
     "mathlib:Cycle.formPerm_eq_self_of_not_mem",
@@ -5769,5 +5746,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Concrete.lean\",null,null,\"Equiv.Perm.toList_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Concrete.lean\",null,null,\"Equiv.Perm.two_le_length_toList_iff_mem_support\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Concrete.lean\",null,null,\"List.formPerm_apply_mem_eq_next\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271727,
+      "path": "data/train/p89/mathlib-001205-0000-4f1b3d1492c55e3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "4f1b3d1492c55e3a9054c696295936f67fda66f1e0d69f6274743ce49c63867c"
+    },
+    {
+      "bytes": 46497,
+      "path": "data/dev/p89/mathlib-001205-0000-6017056e38f98944.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6017056e38f989441ac1fab8dd4cff855ef7c516c1410ff2c0847b13034527b9"
+    },
+    {
+      "bytes": 44136,
+      "path": "data/internal_test/p89/mathlib-001205-0000-7c91d6cde3d7f4de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7c91d6cde3d7f4dec26f6e7ae29ef85bf90e646225d651bc94cff0bcb840bd91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001206.json b/manifests/batches/mathlib/001206.json
index f11451fbdffaa0085f5efcea79606fe3d0beb422..d61da60e04831db18a8e65009707d6761045a62f 100644
--- a/manifests/batches/mathlib/001206.json
+++ b/manifests/batches/mathlib/001206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001206",
   "batch_fingerprint": "7a246e3917b1bd0420e557781d8d10b4d8b71741850b8badb1dade835cc94e24",
   "evidence": {
@@ -3621,29 +3620,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001206-0000-3459609bf841a6f4.parquet",
-      "sha256": "3459609bf841a6f4ae57400a0375aed4c2ae784bb0aa0397350a6a596f758247",
-      "bytes": 82695,
-      "rows": 23,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001206-0000-e6c736fce59e4364.parquet",
-      "sha256": "e6c736fce59e436417039020442678633fc70486dbe3095bcd40d2b8e87929a0",
-      "bytes": 49713,
-      "rows": 3,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001206-0000-19f093462d14e086.parquet",
-      "sha256": "19f093462d14e086327c91399f4d09690b39b483bb221a9a3b5f98dc15dd0d5f",
-      "bytes": 55225,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.card_support_cycleOf_pos_iff",
     "mathlib:Equiv.Perm.cycleFactorsFinset_eq_empty_iff",
@@ -3679,5 +3656,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Factors.lean\",null,null,\"Equiv.Perm.pow_mod_orderOf_cycleOf_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Factors.lean\",null,null,\"Equiv.Perm.support_cycleOf_eq_nil_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Factors.lean\",null,null,\"Equiv.Perm.support_cycleOf_nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82695,
+      "path": "data/train/p6d/mathlib-001206-0000-3459609bf841a6f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "3459609bf841a6f4ae57400a0375aed4c2ae784bb0aa0397350a6a596f758247"
+    },
+    {
+      "bytes": 49713,
+      "path": "data/dev/p6d/mathlib-001206-0000-e6c736fce59e4364.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e6c736fce59e436417039020442678633fc70486dbe3095bcd40d2b8e87929a0"
+    },
+    {
+      "bytes": 55225,
+      "path": "data/internal_test/p6d/mathlib-001206-0000-19f093462d14e086.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "19f093462d14e086327c91399f4d09690b39b483bb221a9a3b5f98dc15dd0d5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001207.json b/manifests/batches/mathlib/001207.json
index e9eb1194a56fd5e4dfebf5148694d3d6093beb3f..ad0851af653fd799b13a628773bc80fa783b46a8 100644
--- a/manifests/batches/mathlib/001207.json
+++ b/manifests/batches/mathlib/001207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001207",
   "batch_fingerprint": "134f7613a71e1e56807e7b2f13e2483106289d723f145c687c6069a84204d94d",
   "evidence": {
@@ -2737,29 +2736,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001207-0000-dfa22910da3c9bf3.parquet",
-      "sha256": "dfa22910da3c9bf3ca675d81e9dd6da7d685a76a1e0599eb0e8c2102d5442366",
-      "bytes": 172133,
-      "rows": 46,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001207-0000-f441bc0c3dfca70c.parquet",
-      "sha256": "f441bc0c3dfca70c2084c728cbc2842f22f3dade9aabae2fc6c1fe181855dc4e",
-      "bytes": 46086,
-      "rows": 3,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001207-0000-03cdae9eaf0fc1d1.parquet",
-      "sha256": "03cdae9eaf0fc1d1cdf25c924928fd890aea20a690ac66e942e2fcaabc5e6649",
-      "bytes": 55523,
-      "rows": 4,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DomMulAct.mem_stabilizer_iff",
     "mathlib:DomMulAct.stabilizerEquiv_invFun_eq",
@@ -2809,5 +2786,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Cycle/Type.lean\",null,null,\"Equiv.Perm.two_le_of_mem_cycleType\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/DomMulAct.lean\",null,null,\"DomMulAct.mem_stabilizer_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/DomMulAct.lean\",null,null,\"DomMulAct.stabilizerEquiv_invFun_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172133,
+      "path": "data/train/p7a/mathlib-001207-0000-dfa22910da3c9bf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "dfa22910da3c9bf3ca675d81e9dd6da7d685a76a1e0599eb0e8c2102d5442366"
+    },
+    {
+      "bytes": 46086,
+      "path": "data/dev/p7a/mathlib-001207-0000-f441bc0c3dfca70c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f441bc0c3dfca70c2084c728cbc2842f22f3dade9aabae2fc6c1fe181855dc4e"
+    },
+    {
+      "bytes": 55523,
+      "path": "data/internal_test/p7a/mathlib-001207-0000-03cdae9eaf0fc1d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "03cdae9eaf0fc1d1cdf25c924928fd890aea20a690ac66e942e2fcaabc5e6649"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001208.json b/manifests/batches/mathlib/001208.json
index 0fac5d9867f86bafa3e707528453317055939bb0..d5c80c2f3969af6ce1aa5135ca3e8ffcfee49466 100644
--- a/manifests/batches/mathlib/001208.json
+++ b/manifests/batches/mathlib/001208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001208",
   "batch_fingerprint": "780c288eab466454f6a1f1b19ec47b045dc46817a71760e060016e8d1cdf2c40",
   "evidence": {
@@ -2185,29 +2184,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001208-0000-4fd1aa3d1f34546e.parquet",
-      "sha256": "4fd1aa3d1f34546e9000ac14274ac23cc2d48cf1263f3a7752605a2530869f3c",
-      "bytes": 83177,
-      "rows": 29,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001208-0000-aa43a7c92d226434.parquet",
-      "sha256": "aa43a7c92d2264349ed01770dfea53cda448410604c7d9ea5059f72a32a0fc6a",
-      "bytes": 45383,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001208-0000-c926dbd2ecbe9b2e.parquet",
-      "sha256": "c926dbd2ecbe9b2ed1988377e10ebb3a034c3532a90d05dd565b18b34874ae57",
-      "bytes": 32839,
-      "rows": 5,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.Disjoint.orderOf",
     "mathlib:Equiv.Perm.decomposeFin.symm_sign",
@@ -2255,5 +2232,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Finite.lean\",null,null,\"Equiv.Perm.perm_inv_mapsTo_of_mapsTo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Finite.lean\",null,null,\"Equiv.Perm.perm_inv_on_of_perm_on_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Finite.lean\",null,null,\"Equiv.Perm.support_pow_coprime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83177,
+      "path": "data/train/p39/mathlib-001208-0000-4fd1aa3d1f34546e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4fd1aa3d1f34546e9000ac14274ac23cc2d48cf1263f3a7752605a2530869f3c"
+    },
+    {
+      "bytes": 45383,
+      "path": "data/dev/p39/mathlib-001208-0000-aa43a7c92d226434.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aa43a7c92d2264349ed01770dfea53cda448410604c7d9ea5059f72a32a0fc6a"
+    },
+    {
+      "bytes": 32839,
+      "path": "data/internal_test/p39/mathlib-001208-0000-c926dbd2ecbe9b2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c926dbd2ecbe9b2ed1988377e10ebb3a034c3532a90d05dd565b18b34874ae57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001209.json b/manifests/batches/mathlib/001209.json
index 7d686857997b42b1bdb37bb634a266ad8d2eb9d9..4bdec314eb36829532f1c02039cf7dc45264b3fc 100644
--- a/manifests/batches/mathlib/001209.json
+++ b/manifests/batches/mathlib/001209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001209",
   "batch_fingerprint": "9f6cf6dd2399fc3f34fb5563c24f5c29b2522d65e02e566f04190689c3d17bbd",
   "evidence": {
@@ -2670,22 +2669,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001209-0000-bfb8390af2995818.parquet",
-      "sha256": "bfb8390af299581829a4c36f25b29789b864e8ade34f70d926193a7e9dd13ce2",
-      "bytes": 85936,
-      "rows": 28,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001209-0000-fcc4e1bb36cd958d.parquet",
-      "sha256": "fcc4e1bb36cd958d27214326bc67d38bc4fda48de3cddb31834f13a1cdb47c6e",
-      "bytes": 34684,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.decomposeOption_symm_of_none_apply",
     "mathlib:Equiv.Perm.decomposeOption_symm_sign",
@@ -2731,5 +2715,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/List.lean\",null,null,\"List.zipWith_swap_prod_support'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Option.lean\",null,null,\"Equiv.Perm.decomposeOption_symm_of_none_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Option.lean\",null,null,\"Equiv.Perm.decomposeOption_symm_sign\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85936,
+      "path": "data/train/p74/mathlib-001209-0000-bfb8390af2995818.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "bfb8390af299581829a4c36f25b29789b864e8ade34f70d926193a7e9dd13ce2"
+    },
+    {
+      "bytes": 34684,
+      "path": "data/internal_test/p74/mathlib-001209-0000-fcc4e1bb36cd958d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fcc4e1bb36cd958d27214326bc67d38bc4fda48de3cddb31834f13a1cdb47c6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001210.json b/manifests/batches/mathlib/001210.json
index 0bd600f29205874965c3803f17544b0d2f6ebdf0..3415730eb40c46c117cd3f107b6d6562442b40bc 100644
--- a/manifests/batches/mathlib/001210.json
+++ b/manifests/batches/mathlib/001210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001210",
   "batch_fingerprint": "2a1c6508dcfe67b87cf4d210a019eddc2ea11141390d55ca9e2ae4768e91cbde",
   "evidence": {
@@ -2823,15 +2822,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001210-0000-d33832f7c55646d4.parquet",
-      "sha256": "d33832f7c55646d41e061fdae4605d1d8537444afec329392eea316b670fe17b",
-      "bytes": 73917,
-      "rows": 18,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.mclosure_isSwap",
     "mathlib:Equiv.Perm.mem_finPairsLT",
@@ -2855,5 +2846,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Sign.lean\",null,null,\"Equiv.Perm.sign_prodCongrLeft\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Sign.lean\",null,null,\"Equiv.Perm.sign_subtypeCongr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Sign.lean\",null,null,\"Equiv.Perm.sign_trans\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73917,
+      "path": "data/train/p76/mathlib-001210-0000-d33832f7c55646d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d33832f7c55646d41e061fdae4605d1d8537444afec329392eea316b670fe17b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001211.json b/manifests/batches/mathlib/001211.json
index 913b5ff80d8e78fa6fecdf0a79177cfade7d7cf8..2bb06a4fd7bc5c57e789ac8ffa005e5475208dd3 100644
--- a/manifests/batches/mathlib/001211.json
+++ b/manifests/batches/mathlib/001211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001211",
   "batch_fingerprint": "10ac808bf0b1a6cca5d3bc4a1509b8d5c5d506b73f307925a7f5a9973efd0568",
   "evidence": {
@@ -2479,29 +2478,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001211-0000-49e179d29112554a.parquet",
-      "sha256": "49e179d29112554a3ee7ea83ca4d511c54283a3d00acf2e273e6159f19f4f610",
-      "bytes": 214945,
-      "rows": 72,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001211-0000-fa90e61ab6b6f771.parquet",
-      "sha256": "fa90e61ab6b6f771037bd6ce61e7b5c39d2516afcff5d387a5bfb5d3b633864b",
-      "bytes": 42368,
-      "rows": 3,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001211-0000-914ab22408332885.parquet",
-      "sha256": "914ab22408332885c192ddf3d5044c3ea4741d1085443274404f0b93331abee7",
-      "bytes": 45780,
-      "rows": 3,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.Disjoint.inv_left",
     "mathlib:Equiv.Perm.Disjoint.mono",
@@ -2589,5 +2566,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Support.lean\",null,null,\"Equiv.Perm.zpow_apply_eq_of_apply_apply_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Support.lean\",null,null,\"Equiv.Perm.zpow_apply_eq_self_of_apply_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Perm/Support.lean\",null,null,\"Equiv.Perm.zpow_apply_mem_support\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214945,
+      "path": "data/train/pdf/mathlib-001211-0000-49e179d29112554a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 72,
+      "sha256": "49e179d29112554a3ee7ea83ca4d511c54283a3d00acf2e273e6159f19f4f610"
+    },
+    {
+      "bytes": 42368,
+      "path": "data/dev/pdf/mathlib-001211-0000-fa90e61ab6b6f771.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fa90e61ab6b6f771037bd6ce61e7b5c39d2516afcff5d387a5bfb5d3b633864b"
+    },
+    {
+      "bytes": 45780,
+      "path": "data/internal_test/pdf/mathlib-001211-0000-914ab22408332885.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "914ab22408332885c192ddf3d5044c3ea4741d1085443274404f0b93331abee7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001212.json b/manifests/batches/mathlib/001212.json
index a43a850824b536b8d6fccdc167691e50dfa121f3..7e48fcff6242bd3b0b0ee65368d160fb0b02a72d 100644
--- a/manifests/batches/mathlib/001212.json
+++ b/manifests/batches/mathlib/001212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001212",
   "batch_fingerprint": "e983f7d55fd7a3067929ead7d70a661d6e6aa7e4d44e99f2d740e7dab45ecbf6",
   "evidence": {
@@ -1491,29 +1490,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001212-0000-0c5e9dd295653e03.parquet",
-      "sha256": "0c5e9dd295653e03376f449e2f43199c37cb839f84bbb8cd1909277c578e3e3a",
-      "bytes": 223998,
-      "rows": 41,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001212-0000-c2fa8ad357f903f2.parquet",
-      "sha256": "c2fa8ad357f903f2b7438aa7004f54abd2d07268f800a976fc99b05dcf268f9c",
-      "bytes": 42178,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001212-0000-c9594cdb683688b7.parquet",
-      "sha256": "c9594cdb683688b7459bd013497c373049744562cad9446d5f539e6f3ee2665f",
-      "bytes": 83134,
-      "rows": 11,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Monoid.PushoutI.NormalWord.base_smul_def",
     "mathlib:Monoid.PushoutI.NormalWord.base_smul_eq_smul",
@@ -1559,5 +1536,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/PushoutI.lean\",null,null,\"Monoid.PushoutI.ofCoprodI_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/PushoutI.lean\",null,null,\"Monoid.PushoutI.of_apply_eq_base\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/PushoutI.lean\",null,null,\"Monoid.PushoutI.of_comp_eq_base\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223998,
+      "path": "data/train/p03/mathlib-001212-0000-0c5e9dd295653e03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "0c5e9dd295653e03376f449e2f43199c37cb839f84bbb8cd1909277c578e3e3a"
+    },
+    {
+      "bytes": 42178,
+      "path": "data/dev/p03/mathlib-001212-0000-c2fa8ad357f903f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c2fa8ad357f903f2b7438aa7004f54abd2d07268f800a976fc99b05dcf268f9c"
+    },
+    {
+      "bytes": 83134,
+      "path": "data/internal_test/p03/mathlib-001212-0000-c9594cdb683688b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c9594cdb683688b7459bd013497c373049744562cad9446d5f539e6f3ee2665f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001213.json b/manifests/batches/mathlib/001213.json
index e7b330547d5dc1f7aa43d54ae520398ed6cac5b6..439ed9003a51ca2dd67473ce7811ce718cd0c96a 100644
--- a/manifests/batches/mathlib/001213.json
+++ b/manifests/batches/mathlib/001213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001213",
   "batch_fingerprint": "12f5f4c542a10304d8785a2d2097f5cb27abd72df75ca1a9e80109ecae4a07f6",
   "evidence": {
@@ -1652,29 +1651,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001213-0000-437bccb6200fcf7e.parquet",
-      "sha256": "437bccb6200fcf7e088af0038f64e831c95de77c44114c6428219f1ed98fe1ef",
-      "bytes": 180305,
-      "rows": 36,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001213-0000-0da026db54161d62.parquet",
-      "sha256": "0da026db54161d62ecc5d7687c63942ed5039324fb608a6e1e3e00baaf68c7c1",
-      "bytes": 59063,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001213-0000-6e06014c1d8e1904.parquet",
-      "sha256": "6e06014c1d8e19040be1d5cf0e4e52cadbea5ba4d5adc6fc0370ba32fb72be70",
-      "bytes": 93661,
-      "rows": 10,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuotientGroup.comap_comap_center",
     "mathlib:QuotientGroup.congr_refl",
@@ -1718,5 +1695,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Schreier.lean\",null,null,\"Subgroup.card_commutator_le_of_finite_commutatorSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Schreier.lean\",null,null,\"Subgroup.closure_mul_image_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Schreier.lean\",null,null,\"Subgroup.closure_mul_image_eq_top'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180305,
+      "path": "data/train/p7b/mathlib-001213-0000-437bccb6200fcf7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "437bccb6200fcf7e088af0038f64e831c95de77c44114c6428219f1ed98fe1ef"
+    },
+    {
+      "bytes": 59063,
+      "path": "data/dev/p7b/mathlib-001213-0000-0da026db54161d62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0da026db54161d62ecc5d7687c63942ed5039324fb608a6e1e3e00baaf68c7c1"
+    },
+    {
+      "bytes": 93661,
+      "path": "data/internal_test/p7b/mathlib-001213-0000-6e06014c1d8e1904.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6e06014c1d8e19040be1d5cf0e4e52cadbea5ba4d5adc6fc0370ba32fb72be70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001214.json b/manifests/batches/mathlib/001214.json
index 5b5734ab3f9d80365185d04f1bd4438b2d9dc891..1c55f1c15f89c091b4d5835435cf226e27d66dc1 100644
--- a/manifests/batches/mathlib/001214.json
+++ b/manifests/batches/mathlib/001214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001214",
   "batch_fingerprint": "fc1d2fed9c8ed622ea37d215c4515a82a5bb39b4fc9f661341983fdce895bafb",
   "evidence": {
@@ -1469,29 +1468,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001214-0000-a4cb9ce9b5e1b1e0.parquet",
-      "sha256": "a4cb9ce9b5e1b1e0dbd72329d4bb08c7264146c50745d53eef70e524bed84db2",
-      "bytes": 229096,
-      "rows": 43,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/dev/mathlib-001214-0000-11f5b15fe6006370.parquet",
-      "sha256": "11f5b15fe60063706ac316cc8538b515496098a9d7e718c19461cdfb93e4a908",
-      "bytes": 42611,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001214-0000-dfc9fdc300f1f5bd.parquet",
-      "sha256": "dfc9fdc300f1f5bda85e4a345b32d025201e250cd0f32c1cfb76acbf54b61aa2",
-      "bytes": 58575,
-      "rows": 1,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SemidirectProduct.hom_ext",
     "mathlib:SemidirectProduct.inl_aut",
@@ -1541,5 +1518,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SemidirectProduct.lean\",null,null,\"SemidirectProduct.rightHom_comp_inl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SemidirectProduct.lean\",null,null,\"SemidirectProduct.rightHom_comp_inr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SemidirectProduct.lean\",null,null,\"SemidirectProduct.rightHom_inr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229096,
+      "path": "data/train/p67/mathlib-001214-0000-a4cb9ce9b5e1b1e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "a4cb9ce9b5e1b1e0dbd72329d4bb08c7264146c50745d53eef70e524bed84db2"
+    },
+    {
+      "bytes": 42611,
+      "path": "data/dev/p67/mathlib-001214-0000-11f5b15fe6006370.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "11f5b15fe60063706ac316cc8538b515496098a9d7e718c19461cdfb93e4a908"
+    },
+    {
+      "bytes": 58575,
+      "path": "data/internal_test/p67/mathlib-001214-0000-dfc9fdc300f1f5bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dfc9fdc300f1f5bda85e4a345b32d025201e250cd0f32c1cfb76acbf54b61aa2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001215.json b/manifests/batches/mathlib/001215.json
index a8262e32f2c3224b850c006b390316ecafcc1e3c..a3e7182636fe291f69073ab3207b63955b84e37c 100644
--- a/manifests/batches/mathlib/001215.json
+++ b/manifests/batches/mathlib/001215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001215",
   "batch_fingerprint": "048e8e3c5197cfb26cab3e129a86d0a6af06f6cbd6675713791cfaebbd2c07bb",
   "evidence": {
@@ -1868,15 +1867,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001215-0000-86eb5686b0de9f43.parquet",
-      "sha256": "86eb5686b0de9f43cb5e867c2ee2b40cb37379a3714bb0061b5e982826d7de69",
-      "bytes": 84695,
-      "rows": 17,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.IsThreeCycle.alternating_normalClosure",
     "mathlib:Equiv.Perm.finRotate_bit1_mem_alternatingGroup",
@@ -1890,5 +1881,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Alternating.lean\",null,null,\"Equiv.Perm.prod_list_swap_mem_alternatingGroup_iff_even_length\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Alternating.lean\",null,null,\"alternatingGroup.isThreeCycle_isConj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Alternating.lean\",null,null,\"two_mul_card_alternatingGroup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84695,
+      "path": "data/train/p1e/mathlib-001215-0000-86eb5686b0de9f43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "86eb5686b0de9f43cb5e867c2ee2b40cb37379a3714bb0061b5e982826d7de69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001216.json b/manifests/batches/mathlib/001216.json
index 05912dd875c59e559ef31461728d59261dd919ba..ba3a5eec9fdfee5ba314ed439819a0a8bfa8f15c 100644
--- a/manifests/batches/mathlib/001216.json
+++ b/manifests/batches/mathlib/001216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001216",
   "batch_fingerprint": "859b123c0aca74e8193c722bf1716f20dea5182e442a9334547e9488eadc1bbf",
   "evidence": {
@@ -2788,22 +2787,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001216-0000-8a357266b09c4868.parquet",
-      "sha256": "8a357266b09c4868b23d19f5b59946a46e75e63ea05c54ccc4001252ef4b7977",
-      "bytes": 185309,
-      "rows": 54,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    },
-    {
-      "path": "data/internal_test/mathlib-001216-0000-29e8176d9f317261.parquet",
-      "sha256": "29e8176d9f31726100b6d5ffbcf55230ee7a5c977c3d3255744822c2fde2030d",
-      "bytes": 59637,
-      "rows": 9,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCyclic.exists_monoid_generator",
     "mathlib:IsCyclic.exists_ofOrder_eq_natCard",
@@ -2847,5 +2831,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Cyclic.lean\",null,null,\"powers_eq_top_of_prime_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Cyclic.lean\",null,null,\"zmultiplesHom_ker_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/Cyclic.lean\",null,null,\"zpowers_eq_top_of_prime_card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185309,
+      "path": "data/train/pdf/mathlib-001216-0000-8a357266b09c4868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "8a357266b09c4868b23d19f5b59946a46e75e63ea05c54ccc4001252ef4b7977"
+    },
+    {
+      "bytes": 59637,
+      "path": "data/internal_test/pdf/mathlib-001216-0000-29e8176d9f317261.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "29e8176d9f31726100b6d5ffbcf55230ee7a5c977c3d3255744822c2fde2030d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001217.json b/manifests/batches/mathlib/001217.json
index 872e0a05ba46cea88fac565406c0500b20f343a8..e9ddbc7a335af904d00cdfb978e285ed2f5554fe 100644
--- a/manifests/batches/mathlib/001217.json
+++ b/manifests/batches/mathlib/001217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001217",
   "batch_fingerprint": "e00da9b7e119593337aaabf7a20db6a88b119826bafc3c4513f5a779afeb5ef4",
   "evidence": {
@@ -1181,15 +1180,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001217-0000-1b6f91a2db987e5b.parquet",
-      "sha256": "1b6f91a2db987e5b4c2dea1a9eddcf7d10766f566e79fbb32a57d174d0ba0e26",
-      "bytes": 29970,
-      "rows": 2,
-      "revision": "906b7b88e1251d7543db52f3953c29ea18db26ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsKleinFour.inv_eq_self",
     "mathlib:IsKleinFour.mul_self"
@@ -1197,5 +1188,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/KleinFour.lean\",null,null,\"IsKleinFour.inv_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/SpecificGroups/KleinFour.lean\",null,null,\"IsKleinFour.mul_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 29970,
+      "path": "data/train/p93/mathlib-001217-0000-1b6f91a2db987e5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1b6f91a2db987e5b4c2dea1a9eddcf7d10766f566e79fbb32a57d174d0ba0e26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001218.json b/manifests/batches/mathlib/001218.json
index 20e0e3392024d353f061720a48de002244297db4..bfebd6c32f5c32a346fc91bd3cd0d8b9d7d0abdc 100644
--- a/manifests/batches/mathlib/001218.json
+++ b/manifests/batches/mathlib/001218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001218",
   "batch_fingerprint": "2d2c4281af028e8e0c9a17455d8862bb93dc889c3a8224a2a24a0e7299c4bd31",
   "evidence": {
@@ -451,15 +450,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001218-0000-34e5e7db8105685f.parquet",
-      "sha256": "34e5e7db8105685f28b1aecc7d95be1fa046c28324d341de72462dad786de9ef",
-      "bytes": 51096,
-      "rows": 11,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommGroup.center_eq_top",
     "mathlib:IsConj.eq_of_left_mem_center",
@@ -473,5 +464,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Subgroup/Center.lean\",null,null,\"Subgroup.center_le_normalizer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Subgroup/Center.lean\",null,null,\"Subgroup.mem_center_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Subgroup/Centralizer.lean\",null,null,\"Subgroup.mem_centralizer_iff_commutator_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51096,
+      "path": "data/train/p02/mathlib-001218-0000-34e5e7db8105685f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "34e5e7db8105685f28b1aecc7d95be1fa046c28324d341de72462dad786de9ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001219.json b/manifests/batches/mathlib/001219.json
index 5e7d541b52ed00d96c6c74be714f59e814aeccc3..0ef3b723ff0eddea5ce2b171e8507505e54ed409 100644
--- a/manifests/batches/mathlib/001219.json
+++ b/manifests/batches/mathlib/001219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001219",
   "batch_fingerprint": "0478cd5d104596ab75546770e757d93927ba947b17cac9cd07ca67810295155b",
   "evidence": {
@@ -266,19 +265,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001219-0000-9974f12304ffcf89.parquet",
-      "sha256": "9974f12304ffcf89618bac70f9cc217e26d8bbd33dabedb3686b36c01c0afc21",
-      "bytes": 49097,
-      "rows": 2,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubgroup.ker_saturated"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Subgroup/Saturated.lean\",null,null,\"AddSubgroup.ker_saturated\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49097,
+      "path": "data/train/p67/mathlib-001219-0000-9974f12304ffcf89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9974f12304ffcf89618bac70f9cc217e26d8bbd33dabedb3686b36c01c0afc21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001220.json b/manifests/batches/mathlib/001220.json
index a6f8a63fc3761b20afb1616faa16b16bc763b673..0008279896115be5ff23ac461e4fd05184ed0273 100644
--- a/manifests/batches/mathlib/001220.json
+++ b/manifests/batches/mathlib/001220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001220",
   "batch_fingerprint": "e05907a1fa9454bfaa0dd91ee3bc1a6898f7178eb9e063b8cc2c0eb851b67d2e",
   "evidence": {
@@ -304,15 +303,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001220-0000-eddd42fbd10d913d.parquet",
-      "sha256": "eddd42fbd10d913de7181709abd426474a153d8e8cfd047b11ff137fec776824",
-      "bytes": 40783,
-      "rows": 4,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Submonoid.centralizer_centralizer_centralizer",
     "mathlib:Submonoid.mem_center_iff"
@@ -320,5 +311,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Submonoid/Center.lean\",null,null,\"Submonoid.mem_center_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Submonoid/Centralizer.lean\",null,null,\"Submonoid.centralizer_centralizer_centralizer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40783,
+      "path": "data/train/pb1/mathlib-001220-0000-eddd42fbd10d913d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "eddd42fbd10d913de7181709abd426474a153d8e8cfd047b11ff137fec776824"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001221.json b/manifests/batches/mathlib/001221.json
index 54e4fadf21687896551754557c8f3aa201152d09..6f613c5e9473116538b83ea70c4349563143619b 100644
--- a/manifests/batches/mathlib/001221.json
+++ b/manifests/batches/mathlib/001221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001221",
   "batch_fingerprint": "3c6595424291cbc30c298de0d1c34713bc218491b06d00a391b7f35c0c77128a",
   "evidence": {
@@ -302,15 +301,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001221-0000-9b2d3a8cb3806865.parquet",
-      "sha256": "9b2d3a8cb38068653097ad50aa56117c12f643c91e93707febe9adf7ef59b8b6",
-      "bytes": 73505,
-      "rows": 15,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Submonoid.fromLeftInv_eq_iff",
     "mathlib:Submonoid.fromLeftInv_eq_inv",
@@ -334,5 +325,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Submonoid/Inverses.lean\",null,null,\"Submonoid.mul_leftInvEquiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Submonoid/Inverses.lean\",null,null,\"Submonoid.mul_leftInvEquiv_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Subsemigroup/Center.lean\",null,null,\"Subsemigroup.mem_center_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73505,
+      "path": "data/train/pe4/mathlib-001221-0000-9b2d3a8cb3806865.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9b2d3a8cb38068653097ad50aa56117c12f643c91e93707febe9adf7ef59b8b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001222.json b/manifests/batches/mathlib/001222.json
index b29219651f0ae8f7b5dc039f04ceb07648e85770..60f0d94d3b48c609372f834429a9f26aab6e8b84 100644
--- a/manifests/batches/mathlib/001222.json
+++ b/manifests/batches/mathlib/001222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001222",
   "batch_fingerprint": "fd37cd7bdbdd04e6707ebba48414d9ebd0836a9e67d5037887f3fccbea678bd4",
   "evidence": {
@@ -1576,29 +1575,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001222-0000-1f8e05cd03e8fb41.parquet",
-      "sha256": "1f8e05cd03e8fb41ae95e5af6e9427c02a95be73a295e2af0fe64b9c27b9cdb2",
-      "bytes": 426058,
-      "rows": 53,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001222-0000-cd1391ae1ce0ba47.parquet",
-      "sha256": "cd1391ae1ce0ba479369fea9dbd32679573c20273b99bf963599661c5d2f2fae",
-      "bytes": 66366,
-      "rows": 11,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001222-0000-be81b130ac9510fa.parquet",
-      "sha256": "be81b130ac9510fa803e5809889247f0b498edc336008ee2b8ae821c458bb010",
-      "bytes": 51160,
-      "rows": 5,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPGroup.exists_le_sylow",
     "mathlib:IsPGroup.sylow_mem_fixedPoints_iff",
@@ -1646,5 +1623,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Sylow.lean\",null,null,\"Sylow.stabilizer_eq_normalizer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Sylow.lean\",null,null,\"Sylow.subtype_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Sylow.lean\",null,null,\"not_dvd_index_sylow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426058,
+      "path": "data/train/p84/mathlib-001222-0000-1f8e05cd03e8fb41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "1f8e05cd03e8fb41ae95e5af6e9427c02a95be73a295e2af0fe64b9c27b9cdb2"
+    },
+    {
+      "bytes": 66366,
+      "path": "data/dev/p84/mathlib-001222-0000-cd1391ae1ce0ba47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cd1391ae1ce0ba479369fea9dbd32679573c20273b99bf963599661c5d2f2fae"
+    },
+    {
+      "bytes": 51160,
+      "path": "data/internal_test/p84/mathlib-001222-0000-be81b130ac9510fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "be81b130ac9510fa803e5809889247f0b498edc336008ee2b8ae821c458bb010"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001223.json b/manifests/batches/mathlib/001223.json
index ec1259cc23779b988a32109d02be8b91c3762bf7..2e103e496b22778e7a90f1819f917acf9643d201 100644
--- a/manifests/batches/mathlib/001223.json
+++ b/manifests/batches/mathlib/001223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001223",
   "batch_fingerprint": "504a44ea163de67ed57a0f7a88f8854b5cb13b579e5791ccccda9197b709a66a",
   "evidence": {
@@ -1026,22 +1025,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001223-0000-81d53c27cfe2a15e.parquet",
-      "sha256": "81d53c27cfe2a15ebe8aaff260756e8ddcdb9c171b6e4484ff57ff01457d807c",
-      "bytes": 177605,
-      "rows": 37,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001223-0000-5da7bfccc1cb42f0.parquet",
-      "sha256": "5da7bfccc1cb42f04d1039e256365e65591705ee0266824abd373879e5fdd86f",
-      "bytes": 46792,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CommMonoid.primaryComponent.exists_orderOf_eq_prime_pow",
     "mathlib:CommMonoid.torsion.isTorsion",
@@ -1081,5 +1065,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Transfer.lean\",null,null,\"MonoidHom.transfer_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Transfer.lean\",null,null,\"Subgroup.leftTransversals.diff_mul_diff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/GroupTheory/Transfer.lean\",null,null,\"Subgroup.leftTransversals.smul_diff_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177605,
+      "path": "data/train/pc5/mathlib-001223-0000-81d53c27cfe2a15e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "81d53c27cfe2a15ebe8aaff260756e8ddcdb9c171b6e4484ff57ff01457d807c"
+    },
+    {
+      "bytes": 46792,
+      "path": "data/internal_test/pc5/mathlib-001223-0000-5da7bfccc1cb42f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5da7bfccc1cb42f04d1039e256365e65591705ee0266824abd373879e5fdd86f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001224.json b/manifests/batches/mathlib/001224.json
index a374bd175d20e02a2a6bcd2f0b49ff93142a324f..8c8c2893754d93c5b81e66ec1e02c10514d9dee6 100644
--- a/manifests/batches/mathlib/001224.json
+++ b/manifests/batches/mathlib/001224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001224",
   "batch_fingerprint": "07ad63b8d6a9ee3d8dc83d548b96023147ae74e49602d495ad7cbabc6fe68579",
   "evidence": {
@@ -1428,29 +1427,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001224-0000-0579ec3b0274c8f7.parquet",
-      "sha256": "0579ec3b0274c8f7b5f7a2c5eb4d3b5193d4d0d3de629da76f0d8e9ed1c8c11a",
-      "bytes": 66034,
-      "rows": 15,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001224-0000-2359bb5a6c3d73f8.parquet",
-      "sha256": "2359bb5a6c3d73f8799e575616391a7c7e5fb2d57f60d7efe218d1fc2f369b4a",
-      "bytes": 48074,
-      "rows": 5,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001224-0000-b9d1f04a71c2b823.parquet",
-      "sha256": "b9d1f04a71c2b823b81cfc2b1cd5cf21f6f5fb427a4834d3434b2777f192ba2b",
-      "bytes": 36422,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:eq_of_hammingDist_eq_zero",
     "mathlib:hammingDist_comm",
@@ -1486,5 +1463,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/InformationTheory/Hamming.lean\",null,null,\"hammingNorm_smul_le_hammingNorm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/InformationTheory/Hamming.lean\",null,null,\"hamming_zero_eq_dist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/InformationTheory/Hamming.lean\",null,null,\"swap_hammingDist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66034,
+      "path": "data/train/p92/mathlib-001224-0000-0579ec3b0274c8f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0579ec3b0274c8f7b5f7a2c5eb4d3b5193d4d0d3de629da76f0d8e9ed1c8c11a"
+    },
+    {
+      "bytes": 48074,
+      "path": "data/dev/p92/mathlib-001224-0000-2359bb5a6c3d73f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2359bb5a6c3d73f8799e575616391a7c7e5fb2d57f60d7efe218d1fc2f369b4a"
+    },
+    {
+      "bytes": 36422,
+      "path": "data/internal_test/p92/mathlib-001224-0000-b9d1f04a71c2b823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b9d1f04a71c2b823b81cfc2b1cd5cf21f6f5fb427a4834d3434b2777f192ba2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001225.json b/manifests/batches/mathlib/001225.json
index a9c3029e0db2e5a3cd5af7f2b42013e37403cd1d..d9e427907e26261fc8bb47e91937024ef1161a6d 100644
--- a/manifests/batches/mathlib/001225.json
+++ b/manifests/batches/mathlib/001225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001225",
   "batch_fingerprint": "1b09661d6b46ceaa5947cd4ac0cb8c7ad8ad1dd28a116b95ef06918438d5182f",
   "evidence": {
@@ -348,19 +347,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001225-0000-86e7799184da0e02.parquet",
-      "sha256": "86e7799184da0e0220c94c715584cb863f490a0ae2aeed0b1be6bff6652fbd55",
-      "bytes": 42635,
-      "rows": 5,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OptionT.run_map"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Control/Lawful.lean\",null,null,\"OptionT.run_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42635,
+      "path": "data/train/peb/mathlib-001225-0000-86e7799184da0e02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "86e7799184da0e0220c94c715584cb863f490a0ae2aeed0b1be6bff6652fbd55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001226.json b/manifests/batches/mathlib/001226.json
index ae1467ec1ecd99b823f2999e7e820f4774854a6c..4504b35df343ce00b65fd35f6bad06c5169317c9 100644
--- a/manifests/batches/mathlib/001226.json
+++ b/manifests/batches/mathlib/001226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001226",
   "batch_fingerprint": "2bb8259f364d9a02fb76dfd01c7fb7be74f660bb322db25adca4418549d3bf4e",
   "evidence": {
@@ -304,29 +303,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001226-0000-92a2f2f269242c3a.parquet",
-      "sha256": "92a2f2f269242c3a5be7f78bf5ca57dccaefafe250d1b62d8a6d3a06cbc11751",
-      "bytes": 34273,
-      "rows": 12,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001226-0000-4418230296377534.parquet",
-      "sha256": "4418230296377534dc13d7813eae022645e535d14d0bf57fd848f37a188ae3dc",
-      "bytes": 28441,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001226-0000-d398a525a9d22d52.parquet",
-      "sha256": "d398a525a9d22d52d6b0d923227aac5a203f60cd07e2123d407135bab08cdd76",
-      "bytes": 35929,
-      "rows": 3,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bool.and_eq_false_eq_eq_false_or_eq_false",
     "mathlib:Bool.and_eq_true_eq_eq_true_and_eq_true",
@@ -362,5 +339,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Bool/Lemmas.lean\",null,null,\"Bool.or_eq_false_eq_eq_false_and_eq_false\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Bool/Lemmas.lean\",null,null,\"Bool.or_eq_true_eq_eq_true_or_eq_true\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Bool/Lemmas.lean\",null,null,\"Bool.true_eq_false_eq_False\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34273,
+      "path": "data/train/p8c/mathlib-001226-0000-92a2f2f269242c3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "92a2f2f269242c3a5be7f78bf5ca57dccaefafe250d1b62d8a6d3a06cbc11751"
+    },
+    {
+      "bytes": 28441,
+      "path": "data/dev/p8c/mathlib-001226-0000-4418230296377534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4418230296377534dc13d7813eae022645e535d14d0bf57fd848f37a188ae3dc"
+    },
+    {
+      "bytes": 35929,
+      "path": "data/internal_test/p8c/mathlib-001226-0000-d398a525a9d22d52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d398a525a9d22d52d6b0d923227aac5a203f60cd07e2123d407135bab08cdd76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001227.json b/manifests/batches/mathlib/001227.json
index cd52be6481e436c179d2e7d0c91e8c25e32da151..601da34ed52d3e741d0dd50431310a6599252de4 100644
--- a/manifests/batches/mathlib/001227.json
+++ b/manifests/batches/mathlib/001227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001227",
   "batch_fingerprint": "40fff2349d1adb03d80ff1f2af71e4ed0dfa8bd48d77c9f2541b086d609dd482",
   "evidence": {
@@ -326,7 +325,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001228.json b/manifests/batches/mathlib/001228.json
index 8415f4e70d92ac229876253f10d4a08e85d49fc2..2f0a5e91c6e745c75242e83edff2d9f844e17779 100644
--- a/manifests/batches/mathlib/001228.json
+++ b/manifests/batches/mathlib/001228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001228",
   "batch_fingerprint": "7cf497db7deecf95e7072e3af8b1de228218f233110c42af326bf01a71e52743",
   "evidence": {
@@ -107,7 +106,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001229.json b/manifests/batches/mathlib/001229.json
index 0b150b4223cd74ad07793a1f9374898e806a8425..5a2435cbbaa12fb170b3e437628ac23f579b1ae2 100644
--- a/manifests/batches/mathlib/001229.json
+++ b/manifests/batches/mathlib/001229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001229",
   "batch_fingerprint": "da53d80521ac25fa49809fe648dd8f332df688edb5014e09add8460928c4d62a",
   "evidence": {
@@ -195,7 +194,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001230.json b/manifests/batches/mathlib/001230.json
index 71bc4078ab206eaca0d3bf2a4e62ffef9311b644..ebad198e66f382b5cc05780fb1866a269e91678e 100644
--- a/manifests/batches/mathlib/001230.json
+++ b/manifests/batches/mathlib/001230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001230",
   "batch_fingerprint": "c2a07deb13090f671ff736a2a745bce2ea89f9fba8046f07b697d7570a58ce9b",
   "evidence": {
@@ -834,22 +833,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001230-0000-d7005c7aaf7d47b7.parquet",
-      "sha256": "d7005c7aaf7d47b77545da22057f83e5d9ee40481fc09f3f7f733b1c4a9622fe",
-      "bytes": 33228,
-      "rows": 3,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001230-0000-f2eb55cce7cf700b.parquet",
-      "sha256": "f2eb55cce7cf700b4c1e1648437355525539e5e9ac5f761fda28564843e5ed9d",
-      "bytes": 35600,
-      "rows": 3,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.bit1_lt_bit0",
     "mathlib:Nat.eq_zero_of_mul_eq_zero",
@@ -859,5 +843,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Nat/GCD.lean\",null,null,\"Nat.gcd_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Nat/Lemmas.lean\",null,null,\"Nat.bit1_lt_bit0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Nat/Lemmas.lean\",null,null,\"Nat.eq_zero_of_mul_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33228,
+      "path": "data/train/p5c/mathlib-001230-0000-d7005c7aaf7d47b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7005c7aaf7d47b77545da22057f83e5d9ee40481fc09f3f7f733b1c4a9622fe"
+    },
+    {
+      "bytes": 35600,
+      "path": "data/internal_test/p5c/mathlib-001230-0000-f2eb55cce7cf700b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f2eb55cce7cf700b4c1e1648437355525539e5e9ac5f761fda28564843e5ed9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001231.json b/manifests/batches/mathlib/001231.json
index 3230f52d0a2e1c38a3ee6ff49c4a0fc6709bf050..91df5a09d3843055b9b3791bec87a759123bb5a6 100644
--- a/manifests/batches/mathlib/001231.json
+++ b/manifests/batches/mathlib/001231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001231",
   "batch_fingerprint": "d1681b0bdc4d1cc19e6684a179adfc84996055df6cbadaa0275b536bd43ee12e",
   "evidence": {
@@ -84,15 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001231-0000-cda9f656e3099597.parquet",
-      "sha256": "cda9f656e309959746faedf81beb5396d8e5297cd4e018b1a67655b2770381ca",
-      "bytes": 39063,
-      "rows": 7,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordering.ite_eq_eq_distrib",
     "mathlib:Ordering.ite_eq_gt_distrib",
@@ -108,5 +99,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Ordering/Lemmas.lean\",null,null,\"cmpUsing_eq_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Ordering/Lemmas.lean\",null,null,\"cmpUsing_eq_gt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Data/Ordering/Lemmas.lean\",null,null,\"cmpUsing_eq_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39063,
+      "path": "data/train/p81/mathlib-001231-0000-cda9f656e3099597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cda9f656e309959746faedf81beb5396d8e5297cd4e018b1a67655b2770381ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001232.json b/manifests/batches/mathlib/001232.json
index 4e80d2e000768a1c7c61fb159243a9d16bd6ff8d..12bea1c4f6340cfd9c034561a0b0c34ea2477102 100644
--- a/manifests/batches/mathlib/001232.json
+++ b/manifests/batches/mathlib/001232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001232",
   "batch_fingerprint": "2733fddfa6817337563b2b07aac825bb589537fcbb788f0227ff92b3e3922e09",
   "evidence": {
@@ -151,7 +150,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001233.json b/manifests/batches/mathlib/001233.json
index 97dcf202b1726cf416bda6ec43b1bd78a811897f..0fd1dfd0f5e6ab2c7f00c8ab70a5c7d64bdbee87 100644
--- a/manifests/batches/mathlib/001233.json
+++ b/manifests/batches/mathlib/001233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001233",
   "batch_fingerprint": "1fb0694f5e7ec209a229037831ac8059116796310e8ccbb302b32bf2febf27dd",
   "evidence": {
@@ -1580,22 +1579,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001233-0000-a95760ec26f7c0a9.parquet",
-      "sha256": "a95760ec26f7c0a9c8c9f846d68eeb7f707d624da6f82785cc48fc1588d3b24c",
-      "bytes": 41467,
-      "rows": 4,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001233-0000-cfb08a23ae0287d5.parquet",
-      "sha256": "cfb08a23ae0287d5fd43e96138e06d2177dd540f45a7ec389b5ba7e7494d5192",
-      "bytes": 34621,
-      "rows": 2,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:decide_False'",
     "mathlib:decide_True'",
@@ -1609,5 +1593,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Logic.lean\",null,null,\"let_body_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Logic.lean\",null,null,\"let_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Logic.lean\",null,null,\"let_value_heq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41467,
+      "path": "data/train/pf0/mathlib-001233-0000-a95760ec26f7c0a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a95760ec26f7c0a9c8c9f846d68eeb7f707d624da6f82785cc48fc1588d3b24c"
+    },
+    {
+      "bytes": 34621,
+      "path": "data/internal_test/pf0/mathlib-001233-0000-cfb08a23ae0287d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cfb08a23ae0287d5fd43e96138e06d2177dd540f45a7ec389b5ba7e7494d5192"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001234.json b/manifests/batches/mathlib/001234.json
index cc4f54fb5eadba1e9ccc63749fef76a15fc1cf0e..79e02f8fc0e9726d0dddb678326bf84f7e96ba85 100644
--- a/manifests/batches/mathlib/001234.json
+++ b/manifests/batches/mathlib/001234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001234",
   "batch_fingerprint": "fb2df0070e828e9284f7f96c6ac7a25fbdd06f10a62b995a6e0bd26d2b591228",
   "evidence": {
@@ -1451,15 +1450,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001234-0000-a280c928fed313b4.parquet",
-      "sha256": "a280c928fed313b44a144e93a64c38bbb1540d0b4657fbfc31f04a98abecf201",
-      "bytes": 39084,
-      "rows": 5,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.lt_add_of_zero_lt_left",
     "mathlib:Nat.zero_lt_one_add",
@@ -1469,5 +1460,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Meta/WellFoundedTactics.lean\",null,null,\"Nat.lt_add_of_zero_lt_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Meta/WellFoundedTactics.lean\",null,null,\"Nat.zero_lt_one_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Order/Defs.lean\",null,null,\"compare_lt_iff_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39084,
+      "path": "data/train/p32/mathlib-001234-0000-a280c928fed313b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a280c928fed313b44a144e93a64c38bbb1540d0b4657fbfc31f04a98abecf201"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001235.json b/manifests/batches/mathlib/001235.json
index 2b38590ecbe9e0474861017f8749bc67dc75540a..4611fecc1b741f4ba835d8001272d5ea2fb59e24 100644
--- a/manifests/batches/mathlib/001235.json
+++ b/manifests/batches/mathlib/001235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001235",
   "batch_fingerprint": "f21ee13bbb0b129109bbf417b02a2d13f7f1f2e874cdfa91e77df60908b2733d",
   "evidence": {
@@ -1081,22 +1080,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001235-0000-7ca5ad138a5255b8.parquet",
-      "sha256": "7ca5ad138a5255b84d5c257ce43392f56217b34bcfed9a48ea54020100f6b41a",
-      "bytes": 38489,
-      "rows": 8,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001235-0000-1f8caaf219518b9b.parquet",
-      "sha256": "1f8caaf219518b9bc4621d4d9e04ae8551ed2e79b788db131a71592cfcc05f13",
-      "bytes": 36639,
-      "rows": 4,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:max_def",
     "mathlib:max_eq_left",
@@ -1112,5 +1096,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Order/LinearOrder.lean\",null,null,\"min_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Order/LinearOrder.lean\",null,null,\"min_eq_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Init/Order/LinearOrder.lean\",null,null,\"min_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38489,
+      "path": "data/train/p2a/mathlib-001235-0000-7ca5ad138a5255b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7ca5ad138a5255b84d5c257ce43392f56217b34bcfed9a48ea54020100f6b41a"
+    },
+    {
+      "bytes": 36639,
+      "path": "data/internal_test/p2a/mathlib-001235-0000-1f8caaf219518b9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1f8caaf219518b9bc4621d4d9e04ae8551ed2e79b788db131a71592cfcc05f13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001236.json b/manifests/batches/mathlib/001236.json
index 56da65f2cd8e656fd95d5801677ca1f8f9b1d309..4ff7dab29aff966adffc39aa6435df2f2d003731 100644
--- a/manifests/batches/mathlib/001236.json
+++ b/manifests/batches/mathlib/001236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001236",
   "batch_fingerprint": "c6414a9fb76a8e96c0977779c85dab5cb4ef4bdb448353de21452268deb7414d",
   "evidence": {
@@ -106,7 +105,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001237.json b/manifests/batches/mathlib/001237.json
index 3cdea9f195da0a7900bf9491fe33ba92f7bf8309..ab8ae2bd75f5ae5e1a8d135fce98f088eb9ef705 100644
--- a/manifests/batches/mathlib/001237.json
+++ b/manifests/batches/mathlib/001237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001237",
   "batch_fingerprint": "ee0e616c1fbd67a14d4cdd252709ee6fc014c42146dfff4f45676affd816b39b",
   "evidence": {
@@ -3620,29 +3619,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001237-0000-a043c3a52abcdb9b.parquet",
-      "sha256": "a043c3a52abcdb9b8a4e30a1600bba27fcc5845b0a8db451b1f1752ad1e076dc",
-      "bytes": 217216,
-      "rows": 42,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001237-0000-8586be634ef9652f.parquet",
-      "sha256": "8586be634ef9652fb84ae170f67fda7ff528f97896a4cc0e2a512ecefe501269",
-      "bytes": 56977,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001237-0000-be4cbcf3694ef1ac.parquet",
-      "sha256": "be4cbcf3694ef1ac8be142610c3878b46b0f12f328621acc3f8fce25dde73a38",
-      "bytes": 55051,
-      "rows": 2,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineEquiv.injective_pointReflection_left_of_module",
     "mathlib:AffineEquiv.toAffineMap_injective",
@@ -3702,5 +3679,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean\",null,null,\"AffineMap.pi_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean\",null,null,\"AffineMap.right_vsub_lineMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean\",null,null,\"Convex.combo_affine_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217216,
+      "path": "data/train/pf2/mathlib-001237-0000-a043c3a52abcdb9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "a043c3a52abcdb9b8a4e30a1600bba27fcc5845b0a8db451b1f1752ad1e076dc"
+    },
+    {
+      "bytes": 56977,
+      "path": "data/dev/pf2/mathlib-001237-0000-8586be634ef9652f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8586be634ef9652fb84ae170f67fda7ff528f97896a4cc0e2a512ecefe501269"
+    },
+    {
+      "bytes": 55051,
+      "path": "data/internal_test/pf2/mathlib-001237-0000-be4cbcf3694ef1ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "be4cbcf3694ef1ac8be142610c3878b46b0f12f328621acc3f8fce25dde73a38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001238.json b/manifests/batches/mathlib/001238.json
index c4b5dd3dafc2a3dde6ff7463dc3bc2b1b5e6ddac..79799cc41642499ec5c040de8a1001966c848761 100644
--- a/manifests/batches/mathlib/001238.json
+++ b/manifests/batches/mathlib/001238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001238",
   "batch_fingerprint": "0ef19780f9775f6fe546ba94fd3225017974817c3fa5740be768af349c54961d",
   "evidence": {
@@ -5274,29 +5273,7 @@
     "validation_rejected_proofs": 17,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001238-0000-a3f99a8d47c18594.parquet",
-      "sha256": "a3f99a8d47c185940f36984a80f44225afe1c8618c8c6661eed8961aa49b8a16",
-      "bytes": 418480,
-      "rows": 122,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001238-0000-31cb2e63bc14634a.parquet",
-      "sha256": "31cb2e63bc14634a78cbefdf93fe5e2b304cd75c0bf847f63182db7c2f3cb320",
-      "bytes": 62269,
-      "rows": 9,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001238-0000-0946687fcf2e2680.parquet",
-      "sha256": "0946687fcf2e2680dbcb20afed111984a70db14604cc9fb4f72faf27134cf9df",
-      "bytes": 171610,
-      "rows": 40,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineBasis.basisOf_apply",
     "mathlib:AffineBasis.basisOf_reindex",
@@ -5450,5 +5427,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Basis.lean\",null,null,\"AffineBasis.ext_elem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Basis.lean\",null,null,\"AffineBasis.linear_combination_coord_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Basis.lean\",null,null,\"AffineBasis.nonempty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 418480,
+      "path": "data/train/p5d/mathlib-001238-0000-a3f99a8d47c18594.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "a3f99a8d47c185940f36984a80f44225afe1c8618c8c6661eed8961aa49b8a16"
+    },
+    {
+      "bytes": 62269,
+      "path": "data/dev/p5d/mathlib-001238-0000-31cb2e63bc14634a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "31cb2e63bc14634a78cbefdf93fe5e2b304cd75c0bf847f63182db7c2f3cb320"
+    },
+    {
+      "bytes": 171610,
+      "path": "data/internal_test/p5d/mathlib-001238-0000-0946687fcf2e2680.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "0946687fcf2e2680dbcb20afed111984a70db14604cc9fb4f72faf27134cf9df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001239.json b/manifests/batches/mathlib/001239.json
index 0f8c5f0f303ac1b2ee24e2160785bb89c96f8143..7f12dc05e0340daff9a0ea2c5d3865954dc4b31f 100644
--- a/manifests/batches/mathlib/001239.json
+++ b/manifests/batches/mathlib/001239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001239",
   "batch_fingerprint": "e65b4b7f5d595d9755c33139a2c8279cfd9b42acdf193cb078cd2abd1ad0f60d",
   "evidence": {
@@ -3508,29 +3507,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001239-0000-bccc3ba4b7ad1320.parquet",
-      "sha256": "bccc3ba4b7ad1320ad58055dfd1f79eb0a6039c1c96831216ebb735b345d9c11",
-      "bytes": 340550,
-      "rows": 85,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001239-0000-e6d32ee72b12121c.parquet",
-      "sha256": "e6d32ee72b12121c8b26558490402b7ce6314c37493e09d7d779db9c706c2a0d",
-      "bytes": 52998,
-      "rows": 3,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001239-0000-eb5c24534a481013.parquet",
-      "sha256": "eb5c24534a48101342376a1fb118b2a7944ab208b1063d2e7af24eaa6497412e",
-      "bytes": 72461,
-      "rows": 9,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAffineEquiv.coe_injective",
     "mathlib:ContinuousAffineEquiv.image_symm_eq_preimage",
@@ -3658,5 +3635,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/ContinuousAffineEquiv.lean\",null,null,\"ContinuousAffineEquiv.image_symm_eq_preimage\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/ContinuousAffineEquiv.lean\",null,null,\"ContinuousAffineEquiv.symm_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/ContinuousAffineEquiv.lean\",null,null,\"ContinuousAffineEquiv.toAffineEquiv_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340550,
+      "path": "data/train/p95/mathlib-001239-0000-bccc3ba4b7ad1320.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 85,
+      "sha256": "bccc3ba4b7ad1320ad58055dfd1f79eb0a6039c1c96831216ebb735b345d9c11"
+    },
+    {
+      "bytes": 52998,
+      "path": "data/dev/p95/mathlib-001239-0000-e6d32ee72b12121c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e6d32ee72b12121c8b26558490402b7ce6314c37493e09d7d779db9c706c2a0d"
+    },
+    {
+      "bytes": 72461,
+      "path": "data/internal_test/p95/mathlib-001239-0000-eb5c24534a481013.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "eb5c24534a48101342376a1fb118b2a7944ab208b1063d2e7af24eaa6497412e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001240.json b/manifests/batches/mathlib/001240.json
index 8f93be37a582d5be063523d695ce8179ab1fbcf5..4a8bb6c1034dd62ffa029a2fceec133961f2b038 100644
--- a/manifests/batches/mathlib/001240.json
+++ b/manifests/batches/mathlib/001240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001240",
   "batch_fingerprint": "e8b63c0b0cff8c67ecbc3ad997a5a85da1342cb24fb31ff71c8f4780039f3db7",
   "evidence": {
@@ -6246,29 +6245,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001240-0000-c9a894270ec159f7.parquet",
-      "sha256": "c9a894270ec159f7df917f6152f4a2764f83b11727672d0c76c0160a9858b8c8",
-      "bytes": 353747,
-      "rows": 94,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001240-0000-eba797c6b1ea7921.parquet",
-      "sha256": "eba797c6b1ea7921f3ca6b721911b7a88e9d5ca1c9bcaec6d77a4518ed09c06f",
-      "bytes": 60603,
-      "rows": 8,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001240-0000-12bc5458e2dfe64d.parquet",
-      "sha256": "12bc5458e2dfe64d903cdd3d9423deedb99a23382bb5e16494b5e0f4f9254480",
-      "bytes": 95826,
-      "rows": 15,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Affine.Simplex.centroid_eq_of_range_eq",
     "mathlib:Affine.Simplex.ext",
@@ -6366,5 +6343,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Independent.lean\",null,null,\"affineIndependent_of_ne_of_mem_of_not_mem_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Independent.lean\",null,null,\"affineIndependent_of_ne_of_not_mem_of_mem_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Independent.lean\",null,null,\"sign_eq_of_affineCombination_mem_affineSpan_pair\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353747,
+      "path": "data/train/pf4/mathlib-001240-0000-c9a894270ec159f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "c9a894270ec159f7df917f6152f4a2764f83b11727672d0c76c0160a9858b8c8"
+    },
+    {
+      "bytes": 60603,
+      "path": "data/dev/pf4/mathlib-001240-0000-eba797c6b1ea7921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eba797c6b1ea7921f3ca6b721911b7a88e9d5ca1c9bcaec6d77a4518ed09c06f"
+    },
+    {
+      "bytes": 95826,
+      "path": "data/internal_test/pf4/mathlib-001240-0000-12bc5458e2dfe64d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "12bc5458e2dfe64d903cdd3d9423deedb99a23382bb5e16494b5e0f4f9254480"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001241.json b/manifests/batches/mathlib/001241.json
index a264fd7ef0380df311a34ec92225e9105bbd40dd..5c79a4d71a05dde61490a6f110de8cde238f06e2 100644
--- a/manifests/batches/mathlib/001241.json
+++ b/manifests/batches/mathlib/001241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001241",
   "batch_fingerprint": "0089bcf4e95b9133a81d9b8e36aa6638371abacb0ee8db8777413f7a4209eb82",
   "evidence": {
@@ -869,29 +868,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001241-0000-01b1b5fa222416b2.parquet",
-      "sha256": "01b1b5fa222416b25d6897cda999348ab75d16819a59adef3ee60187b0731ae9",
-      "bytes": 163492,
-      "rows": 36,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001241-0000-65ac405522e77b5e.parquet",
-      "sha256": "65ac405522e77b5e6f22991fcc69adcfed4cff2a78795a30f769c1b23d5798cb",
-      "bytes": 48041,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001241-0000-4bd5831d12b4f58f.parquet",
-      "sha256": "4bd5831d12b4f58f97df9a7ea2f04ed331b584fb198b311676bcc3b2aa7ffd6d",
-      "bytes": 46840,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineBasis.det_smul_coords_eq_cramer_coords",
     "mathlib:AffineBasis.toMatrix_inv_vecMul_toMatrix",
@@ -945,5 +922,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean\",null,null,\"right_eq_midpoint_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean\",null,null,\"right_vsub_midpoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean\",null,null,\"vsub_midpoint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163492,
+      "path": "data/train/p5d/mathlib-001241-0000-01b1b5fa222416b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "01b1b5fa222416b25d6897cda999348ab75d16819a59adef3ee60187b0731ae9"
+    },
+    {
+      "bytes": 48041,
+      "path": "data/dev/p5d/mathlib-001241-0000-65ac405522e77b5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "65ac405522e77b5e6f22991fcc69adcfed4cff2a78795a30f769c1b23d5798cb"
+    },
+    {
+      "bytes": 46840,
+      "path": "data/internal_test/p5d/mathlib-001241-0000-4bd5831d12b4f58f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4bd5831d12b4f58f97df9a7ea2f04ed331b584fb198b311676bcc3b2aa7ffd6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001242.json b/manifests/batches/mathlib/001242.json
index fd0adee576ee679b4c7d826ad8d85f529ba83d3d..80223ec1be89d686aec54cb16f3674a8fed230cf 100644
--- a/manifests/batches/mathlib/001242.json
+++ b/manifests/batches/mathlib/001242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001242",
   "batch_fingerprint": "73fa8c2745a74c91209a21812cd7db2b0e6716899b8dd44a166f9553d6417096",
   "evidence": {
@@ -574,22 +573,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001242-0000-1dcba82dec594991.parquet",
-      "sha256": "1dcba82dec5949919f11ca1c3e1c434c1797a4039537891984841c98eb68baa6",
-      "bytes": 119852,
-      "rows": 26,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001242-0000-32d64d50321e5f27.parquet",
-      "sha256": "32d64d50321e5f278f4132474ee78d4614e8ce2344124a8e95bac7cd5fbbe89a",
-      "bytes": 42930,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:homothety_one_half",
     "mathlib:left_lt_lineMap_iff_lt",
@@ -621,5 +605,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Ordered.lean\",null,null,\"map_le_lineMap_iff_slope_le_slope\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Ordered.lean\",null,null,\"map_le_lineMap_iff_slope_le_slope_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Ordered.lean\",null,null,\"map_le_lineMap_iff_slope_le_slope_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119852,
+      "path": "data/train/p8f/mathlib-001242-0000-1dcba82dec594991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1dcba82dec5949919f11ca1c3e1c434c1797a4039537891984841c98eb68baa6"
+    },
+    {
+      "bytes": 42930,
+      "path": "data/internal_test/p8f/mathlib-001242-0000-32d64d50321e5f27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "32d64d50321e5f278f4132474ee78d4614e8ce2344124a8e95bac7cd5fbbe89a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001243.json b/manifests/batches/mathlib/001243.json
index 2eb9882ee60af62276b072cdf82b607b3af28f8a..1d514bc04541a2c1d51bc42d1f9d6bd119317df0 100644
--- a/manifests/batches/mathlib/001243.json
+++ b/manifests/batches/mathlib/001243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001243",
   "batch_fingerprint": "4c498a9f4106795905bce8369d9883cd31dd78fc37ef61e483940ac9a10d6ac0",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001243-0000-eda9df019e564955.parquet",
-      "sha256": "eda9df019e5649555369981635ae73f4c3ab95873814c098f6d53417712a4f1a",
-      "bytes": 111598,
-      "rows": 19,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineMap.restrict.injective",
     "mathlib:AffineMap.restrict.linear_aux",
@@ -198,5 +189,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Restrict.lean\",null,null,\"AffineMap.restrict.linear_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Restrict.lean\",null,null,\"AffineMap.restrict.surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AffineSpace/Restrict.lean\",null,null,\"AffineSubspace.nonempty_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111598,
+      "path": "data/train/p02/mathlib-001243-0000-eda9df019e564955.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "eda9df019e5649555369981635ae73f4c3ab95873814c098f6d53417712a4f1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001244.json b/manifests/batches/mathlib/001244.json
index 3ff570a6718207ed409049dcc54db6180521d13c..fe1c4699be8c932eed4a9ef416e88ae0ad1a4444 100644
--- a/manifests/batches/mathlib/001244.json
+++ b/manifests/batches/mathlib/001244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001244",
   "batch_fingerprint": "64e33902a170a9901b79632b0e5ec9747541927719b15eb342a9e9d3b2c1c26a",
   "evidence": {
@@ -2108,29 +2107,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001244-0000-b0a2ef750994ebab.parquet",
-      "sha256": "b0a2ef750994ebabfd774b09a06354748ed9be388ebfc8a6156f655775021239",
-      "bytes": 204179,
-      "rows": 35,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001244-0000-3a2b3efd5109e46c.parquet",
-      "sha256": "3a2b3efd5109e46c5d8593b3ebb92468cdf9b5483cb020a8f999da1b45e3aa74",
-      "bytes": 40370,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001244-0000-04d0bd7ff981c970.parquet",
-      "sha256": "04d0bd7ff981c97081df3905888493e80437b6abdc17e854b474cd0d3b6b5605",
-      "bytes": 34119,
-      "rows": 1,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlternatingMap.add_compLinearMap",
     "mathlib:AlternatingMap.coe_alternatization",
@@ -2180,5 +2157,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Alternating/Basic.lean\",null,null,\"AlternatingMap.zero_compLinearMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Alternating/Basic.lean\",null,null,\"LinearMap.compMultilinearMap_alternatization\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Alternating/Basic.lean\",null,null,\"MultilinearMap.alternatization_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204179,
+      "path": "data/train/p33/mathlib-001244-0000-b0a2ef750994ebab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "b0a2ef750994ebabfd774b09a06354748ed9be388ebfc8a6156f655775021239"
+    },
+    {
+      "bytes": 40370,
+      "path": "data/dev/p33/mathlib-001244-0000-3a2b3efd5109e46c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3a2b3efd5109e46c5d8593b3ebb92468cdf9b5483cb020a8f999da1b45e3aa74"
+    },
+    {
+      "bytes": 34119,
+      "path": "data/internal_test/p33/mathlib-001244-0000-04d0bd7ff981c970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "04d0bd7ff981c97081df3905888493e80437b6abdc17e854b474cd0d3b6b5605"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001245.json b/manifests/batches/mathlib/001245.json
index af63f483dda49190edc5df8765de307ec6bb0732..022c7376fd1a6b77e169e4483a7f8645397131b0 100644
--- a/manifests/batches/mathlib/001245.json
+++ b/manifests/batches/mathlib/001245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001245",
   "batch_fingerprint": "4249c34b7ca3a93da0d4f60626d55d09dd726cc95c3abf51e6c4dd2f460cdbe0",
   "evidence": {
@@ -849,15 +848,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001245-0000-7e28e17cb8cca13e.parquet",
-      "sha256": "7e28e17cb8cca13e8c478e9f202e20c086a7ee942ef1a493f375d99b73a13344",
-      "bytes": 128014,
-      "rows": 11,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MultilinearMap.domCoprod_alternization_coe",
     "mathlib:MultilinearMap.domCoprod_alternization_eq",
@@ -873,5 +864,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean\",null,null,\"Polynomial.mem_iff_annIdealGenerator_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean\",null,null,\"Polynomial.mem_iff_eq_smul_annIdealGenerator\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean\",null,null,\"Polynomial.span_minpoly_eq_annihilator\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128014,
+      "path": "data/train/p2b/mathlib-001245-0000-7e28e17cb8cca13e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7e28e17cb8cca13e8c478e9f202e20c086a7ee942ef1a493f375d99b73a13344"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001246.json b/manifests/batches/mathlib/001246.json
index 1c2aea77748a43c6e9431df33797f8cb0ea204cd..09cf8dddf263a6cc354c266b66402433f0b69562 100644
--- a/manifests/batches/mathlib/001246.json
+++ b/manifests/batches/mathlib/001246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001246",
   "batch_fingerprint": "4bafd6d7f9fdebad5006ffd8c365e1d43b0239c43d87da867fc58908c89857a2",
   "evidence": {
@@ -3017,29 +3016,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001246-0000-a854f9cd405af273.parquet",
-      "sha256": "a854f9cd405af273d30bf03329a89982b4e2ed342bbf3044b34f4e6fd35fb0da",
-      "bytes": 496960,
-      "rows": 99,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001246-0000-469606a9a0cf768c.parquet",
-      "sha256": "469606a9a0cf768cdcebb949c4192a9b75299d0fb5c054dac829dced3143ed25",
-      "bytes": 72533,
-      "rows": 9,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001246-0000-66ff7697e542a46e.parquet",
-      "sha256": "66ff7697e542a46e1133b978738852ed1a9f0f38e862e6ae100e976dec5e287b",
-      "bytes": 106804,
-      "rows": 17,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.coe_mkFinCons",
     "mathlib:Basis.coe_ofEquivFun",
@@ -3177,5 +3154,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Basis.lean\",null,null,\"Basis.total_repr\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Basis/Bilinear.lean\",null,null,\"LinearMap.sum_repr_mul_repr_mul\u209b\u2097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 496960,
+      "path": "data/train/pc5/mathlib-001246-0000-a854f9cd405af273.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "a854f9cd405af273d30bf03329a89982b4e2ed342bbf3044b34f4e6fd35fb0da"
+    },
+    {
+      "bytes": 72533,
+      "path": "data/dev/pc5/mathlib-001246-0000-469606a9a0cf768c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "469606a9a0cf768cdcebb949c4192a9b75299d0fb5c054dac829dced3143ed25"
+    },
+    {
+      "bytes": 106804,
+      "path": "data/internal_test/pc5/mathlib-001246-0000-66ff7697e542a46e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "66ff7697e542a46e1133b978738852ed1a9f0f38e862e6ae100e976dec5e287b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001247.json b/manifests/batches/mathlib/001247.json
index 92d344c6b71dc01d0c797eab4e50f1ddb94cfba4..5a9c873bf34e15ec9e65bce74791e579e78009fd 100644
--- a/manifests/batches/mathlib/001247.json
+++ b/manifests/batches/mathlib/001247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001247",
   "batch_fingerprint": "edeb8d5e177325b9060572109892c84fcf036ac1b3596f94a6a7a50c9ac653b9",
   "evidence": {
@@ -969,15 +968,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001247-0000-415d5918b7a01a3e.parquet",
-      "sha256": "415d5918b7a01a3e4b526341c4cd83099ff1e79c929ca0116d2ff4a4a3c91712",
-      "bytes": 106380,
-      "rows": 27,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.flag_covBy",
     "mathlib:Basis.flag_last",
@@ -1007,5 +998,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Basis/VectorSpace.lean\",null,null,\"Basis.range_extend\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Basis/VectorSpace.lean\",null,null,\"LinearMap.exists_extend\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Basis/VectorSpace.lean\",null,null,\"LinearMap.exists_rightInverse_of_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106380,
+      "path": "data/train/pf3/mathlib-001247-0000-415d5918b7a01a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "415d5918b7a01a3e4b526341c4cd83099ff1e79c929ca0116d2ff4a4a3c91712"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001248.json b/manifests/batches/mathlib/001248.json
index 162f00eb324ad881f7780710c5676c0bb0e162ff..1f320d2ab5b4c204ba35c9ba2f1b851cf7369f9b 100644
--- a/manifests/batches/mathlib/001248.json
+++ b/manifests/batches/mathlib/001248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001248",
   "batch_fingerprint": "42be65b3e7bdf41485e6515da21775214f6f529daeb1d787a259f335e7a3b6ad",
   "evidence": {
@@ -899,22 +898,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001248-0000-f00aca423d11ba09.parquet",
-      "sha256": "f00aca423d11ba0944ab7e93a7e0a5390ec6524067f4384024a030dc6921ac6a",
-      "bytes": 139893,
-      "rows": 15,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001248-0000-8d44dc18828bda83.parquet",
-      "sha256": "8d44dc18828bda8314489828f13a6e08a7ef27e2b2906dfad50e6cee9331b3c0",
-      "bytes": 61479,
-      "rows": 2,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.BilinForm.coe_injective",
     "mathlib:LinearMap.BilinForm.dualSubmoduleToDual_injective",
@@ -932,5 +916,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/Basic.lean\",null,null,\"LinearMap.BilinForm.smul_right_of_tower\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean\",null,null,\"LinearMap.BilinForm.dualSubmoduleToDual_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean\",null,null,\"LinearMap.BilinForm.le_flip_dualSubmodule\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139893,
+      "path": "data/train/p1e/mathlib-001248-0000-f00aca423d11ba09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f00aca423d11ba0944ab7e93a7e0a5390ec6524067f4384024a030dc6921ac6a"
+    },
+    {
+      "bytes": 61479,
+      "path": "data/internal_test/p1e/mathlib-001248-0000-8d44dc18828bda83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8d44dc18828bda8314489828f13a6e08a7ef27e2b2906dfad50e6cee9331b3c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001249.json b/manifests/batches/mathlib/001249.json
index 56a8d6f9ee175e5f37029cf4950b518734e3918a..601ef96397ab78af7ee0988a8e221fe0d8cd19fe 100644
--- a/manifests/batches/mathlib/001249.json
+++ b/manifests/batches/mathlib/001249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001249",
   "batch_fingerprint": "2c2caf87aa2eb1957ff778e7d7f7c04394941d45353574be97802edf0a8596eb",
   "evidence": {
@@ -2256,29 +2255,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001249-0000-7d1724818531098c.parquet",
-      "sha256": "7d1724818531098c440a5e9fbdb8c90b61bda458a1053d487681a375c27bd597",
-      "bytes": 268613,
-      "rows": 40,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/dev/mathlib-001249-0000-63105bb925de03da.parquet",
-      "sha256": "63105bb925de03daf2d60167ef50b7230bf5d073eb568f6ea06fbff248b04308",
-      "bytes": 63636,
-      "rows": 4,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    },
-    {
-      "path": "data/internal_test/mathlib-001249-0000-c3f0d15a3369e18a.parquet",
-      "sha256": "c3f0d15a3369e18a50c192598ccb6995ccd8b81437a92bee49c70dc889710d1e",
-      "bytes": 77564,
-      "rows": 7,
-      "revision": "a8195274ddbf67659b6a0d00a48e612eece12750"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.BilinForm.compLeft_id",
     "mathlib:LinearMap.BilinForm.compRight_id",
@@ -2318,5 +2295,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean\",null,null,\"LinearMap.BilinForm.orthogonal_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean\",null,null,\"LinearMap.BilinForm.orthogonal_orthogonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean\",null,null,\"LinearMap.BilinForm.span_singleton_sup_orthogonal_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268613,
+      "path": "data/train/pee/mathlib-001249-0000-7d1724818531098c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "7d1724818531098c440a5e9fbdb8c90b61bda458a1053d487681a375c27bd597"
+    },
+    {
+      "bytes": 63636,
+      "path": "data/dev/pee/mathlib-001249-0000-63105bb925de03da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "63105bb925de03daf2d60167ef50b7230bf5d073eb568f6ea06fbff248b04308"
+    },
+    {
+      "bytes": 77564,
+      "path": "data/internal_test/pee/mathlib-001249-0000-c3f0d15a3369e18a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c3f0d15a3369e18a50c192598ccb6995ccd8b81437a92bee49c70dc889710d1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001250.json b/manifests/batches/mathlib/001250.json
index 29ef5ef2210a95e7ae3121732b4bff7a77b76856..31ae40c0befd9bb5243d171c5b862931cb3568fa 100644
--- a/manifests/batches/mathlib/001250.json
+++ b/manifests/batches/mathlib/001250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001250",
   "batch_fingerprint": "6aa92570f1c12935a7725201d4b6dbbfb486695f2fa11de12e523ca3a7f88d64",
   "evidence": {
@@ -1179,29 +1178,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001250-0000-46444b2781009212.parquet",
-      "sha256": "46444b2781009212bbd5ba99ffc94bdf05a98c9e119b0d32d428bd56c82f4944",
-      "bytes": 498765,
-      "rows": 36,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001250-0000-92a0836fac9f8d2e.parquet",
-      "sha256": "92a0836fac9f8d2edb7a795a5346a77ba4fd89c691883ec04807383713a8b73e",
-      "bytes": 60397,
-      "rows": 3,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001250-0000-5edb1f61d9e3a328.parquet",
-      "sha256": "5edb1f61d9e3a3289b0260996af81867b11b37307d43ae2068cb4580d4784883",
-      "bytes": 50622,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.BilinForm.IsAdjointPair.add",
     "mathlib:LinearMap.BilinForm.IsAdjointPair.comp",
@@ -1249,5 +1226,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/Properties.lean\",null,null,\"LinearMap.BilinForm.symmCompOfNondegenerate_left_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/TensorProduct.lean\",null,null,\"LinearMap.BilinForm.tensorDistribEquiv_toLinearMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearForm/TensorProduct.lean\",null,null,\"LinearMap.IsSymm.tmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 498765,
+      "path": "data/train/p0a/mathlib-001250-0000-46444b2781009212.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "46444b2781009212bbd5ba99ffc94bdf05a98c9e119b0d32d428bd56c82f4944"
+    },
+    {
+      "bytes": 60397,
+      "path": "data/dev/p0a/mathlib-001250-0000-92a0836fac9f8d2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "92a0836fac9f8d2edb7a795a5346a77ba4fd89c691883ec04807383713a8b73e"
+    },
+    {
+      "bytes": 50622,
+      "path": "data/internal_test/p0a/mathlib-001250-0000-5edb1f61d9e3a328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5edb1f61d9e3a3289b0260996af81867b11b37307d43ae2068cb4580d4784883"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001251.json b/manifests/batches/mathlib/001251.json
index f4fa82982ddbe5cd0688bb49e9fe9887ea6aa868..a371bede5397610f78f10e81a6e76fb72384debc 100644
--- a/manifests/batches/mathlib/001251.json
+++ b/manifests/batches/mathlib/001251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001251",
   "batch_fingerprint": "b1ad6dee95535c18ce212597720857a9f475c4c207c8a1342b8d2ff5cb07da3c",
   "evidence": {
@@ -1046,22 +1045,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001251-0000-d3829fd2c8de8b52.parquet",
-      "sha256": "d3829fd2c8de8b5219edf16fd06fc167741ca156c813b33428d505c07c0a5869",
-      "bytes": 88808,
-      "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001251-0000-db0233d6ae3395d2.parquet",
-      "sha256": "db0233d6ae3395d25b4f5c87989b1149a0d71607c6bac2f2312328b76a6f3ab0",
-      "bytes": 52135,
-      "rows": 3,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.aeval_self_charpoly",
     "mathlib:LinearMap.compl\u2081\u2082_id_id",
@@ -1075,5 +1059,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/BilinearMap.lean\",null,null,\"LinearMap.flip_inj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Charpoly/Basic.lean\",null,null,\"LinearMap.aeval_self_charpoly\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Charpoly/Basic.lean\",null,null,\"LinearMap.pow_eq_aeval_mod_charpoly\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88808,
+      "path": "data/train/pc8/mathlib-001251-0000-d3829fd2c8de8b52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d3829fd2c8de8b5219edf16fd06fc167741ca156c813b33428d505c07c0a5869"
+    },
+    {
+      "bytes": 52135,
+      "path": "data/internal_test/pc8/mathlib-001251-0000-db0233d6ae3395d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "db0233d6ae3395d25b4f5c87989b1149a0d71607c6bac2f2312328b76a6f3ab0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001252.json b/manifests/batches/mathlib/001252.json
index 112a75da8ba95ddd90231b8de508f88da3c9d6ae..94cd9f9554cc7b93f05941cd414f45cd5105485f 100644
--- a/manifests/batches/mathlib/001252.json
+++ b/manifests/batches/mathlib/001252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001252",
   "batch_fingerprint": "00620c73e778ea7888417e5efb9937bd90ccd85509edd34c5dc4f163c24b1fe9",
   "evidence": {
@@ -358,29 +357,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001252-0000-f4a4ce1ec6eef0c2.parquet",
-      "sha256": "f4a4ce1ec6eef0c2b86634164832f3c7278c02598244b851b4711ad61f3491bc",
-      "bytes": 448722,
-      "rows": 20,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/train/mathlib-001252-0001-0f4dcc0bb65f0820.parquet",
-      "sha256": "0f4dcc0bb65f0820276a77526f8133df77b24481e61bc8efa37cd4efdf508ea4",
-      "bytes": 385578,
-      "rows": 10,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001252-0000-436dd4f3e4823e92.parquet",
-      "sha256": "436dd4f3e4823e9268b3e29783f24dbf3b099717f276c7fa6b9b3d84b768915b",
-      "bytes": 58383,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CliffordAlgebra.ofBaseChange_comp_toBaseChange",
     "mathlib:CliffordAlgebra.ofBaseChange_tmul_one",
@@ -402,5 +379,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean\",null,null,\"CliffordAlgebra.toBaseChange_comp_ofBaseChange\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean\",null,null,\"CliffordAlgebra.toBaseChange_comp_reverseOp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean\",null,null,\"CliffordAlgebra.toBaseChange_reverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 448722,
+      "path": "data/train/pf5/mathlib-001252-0000-f4a4ce1ec6eef0c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f4a4ce1ec6eef0c2b86634164832f3c7278c02598244b851b4711ad61f3491bc"
+    },
+    {
+      "bytes": 385578,
+      "path": "data/train/pf5/mathlib-001252-0001-0f4dcc0bb65f0820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0f4dcc0bb65f0820276a77526f8133df77b24481e61bc8efa37cd4efdf508ea4"
+    },
+    {
+      "bytes": 58383,
+      "path": "data/internal_test/pf5/mathlib-001252-0000-436dd4f3e4823e92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "436dd4f3e4823e9268b3e29783f24dbf3b099717f276c7fa6b9b3d84b768915b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001253.json b/manifests/batches/mathlib/001253.json
index ddcea81108d0de1d0851e5f28dd354d9eab9f030..c459e836bd9929eaa407403a60a1a281f510b086 100644
--- a/manifests/batches/mathlib/001253.json
+++ b/manifests/batches/mathlib/001253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001253",
   "batch_fingerprint": "55321cd03f8a08f07d9c29b40ca3f7d2435968d14801d712ece8419cbbbb6fd4",
   "evidence": {
@@ -1180,22 +1179,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001253-0000-26bbef70a1b1079d.parquet",
-      "sha256": "26bbef70a1b1079deb1c4a494fd167f0f233037b6aa84b8460a130e2feaa08e7",
-      "bytes": 292841,
-      "rows": 38,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001253-0000-ec8d8ad6aa7307bd.parquet",
-      "sha256": "ec8d8ad6aa7307bd3e62fddd984fb8a1cab6225a037110589cfd4224d2d59704",
-      "bytes": 91071,
-      "rows": 9,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CliffordAlgebra.comp_\u03b9_sq_scalar",
     "mathlib:CliffordAlgebra.equivOfIsometry_refl",
@@ -1257,5 +1241,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean\",null,null,\"CliffordAlgebra.\u03b9_range_comap_involute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean\",null,null,\"CliffordAlgebra.\u03b9_range_comap_reverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Conjugation.lean\",null,null,\"CliffordAlgebra.\u03b9_range_map_reverse\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292841,
+      "path": "data/train/pc9/mathlib-001253-0000-26bbef70a1b1079d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "26bbef70a1b1079deb1c4a494fd167f0f233037b6aa84b8460a130e2feaa08e7"
+    },
+    {
+      "bytes": 91071,
+      "path": "data/internal_test/pc9/mathlib-001253-0000-ec8d8ad6aa7307bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ec8d8ad6aa7307bd3e62fddd984fb8a1cab6225a037110589cfd4224d2d59704"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001254.json b/manifests/batches/mathlib/001254.json
index 6fc44622799654e1fbcdb8b3c348a4ea5269cb79..d4435cd514e405dc4c47e75f3d27d153c228aff0 100644
--- a/manifests/batches/mathlib/001254.json
+++ b/manifests/batches/mathlib/001254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001254",
   "batch_fingerprint": "5ab941e3899cb73ca243c98c11c8b4031d51a82261d0ddec7bd8c19be1eb4aca",
   "evidence": {
@@ -1901,29 +1900,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001254-0000-0b98c30c0a3ef596.parquet",
-      "sha256": "0b98c30c0a3ef5968ac42aa185b6c341e0c956f14ec7257642a3121cb751eb0f",
-      "bytes": 65375,
-      "rows": 9,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/dev/mathlib-001254-0000-e7421720e6fa05c5.parquet",
-      "sha256": "e7421720e6fa05c5b2122f77d126188cbb6d61f4da3560aba90eae7ae676ac2b",
-      "bytes": 54857,
-      "rows": 3,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001254-0000-353ea58fea2634c7.parquet",
-      "sha256": "353ea58fea2634c7c6cab99f20422d5ffe41bb6cee6d182fcb7ac9345a66e771",
-      "bytes": 43678,
-      "rows": 1,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CliffordAlgebraComplex.ofComplex_I",
     "mathlib:CliffordAlgebraComplex.ofComplex_comp_toComplex",
@@ -1943,5 +1920,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean\",null,null,\"CliffordAlgebraQuaternion.ofQuaternion_star\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean\",null,null,\"CliffordAlgebraQuaternion.toQuaternion_comp_ofQuaternion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean\",null,null,\"CliffordAlgebraRing.involute_eq_id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65375,
+      "path": "data/train/pac/mathlib-001254-0000-0b98c30c0a3ef596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0b98c30c0a3ef5968ac42aa185b6c341e0c956f14ec7257642a3121cb751eb0f"
+    },
+    {
+      "bytes": 54857,
+      "path": "data/dev/pac/mathlib-001254-0000-e7421720e6fa05c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e7421720e6fa05c5b2122f77d126188cbb6d61f4da3560aba90eae7ae676ac2b"
+    },
+    {
+      "bytes": 43678,
+      "path": "data/internal_test/pac/mathlib-001254-0000-353ea58fea2634c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "353ea58fea2634c7c6cab99f20422d5ffe41bb6cee6d182fcb7ac9345a66e771"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001255.json b/manifests/batches/mathlib/001255.json
index 910bb2f63a0965f96b9932e4327907b110ef9f21..0567b0827022a2c77fcf3a8ce9dd11e65d0bf137 100644
--- a/manifests/batches/mathlib/001255.json
+++ b/manifests/batches/mathlib/001255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001255",
   "batch_fingerprint": "dc69c13fb0c1d0991a332f584bcb61af524822afee163da001c9145db72bcdcb",
   "evidence": {
@@ -1289,7 +1288,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001256.json b/manifests/batches/mathlib/001256.json
index 746142e0bc920e2393950ad7c7cc720cd9811939..05e745b8d90f84b5ece572cb3ab1439c23713c25 100644
--- a/manifests/batches/mathlib/001256.json
+++ b/manifests/batches/mathlib/001256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001256",
   "batch_fingerprint": "01cf8cbae2769d8f67afecc008345bc65d94f1cd35b403dff99fb6e8ad6e6573",
   "evidence": {
@@ -1435,15 +1434,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001256-0000-0b8da6426c032861.parquet",
-      "sha256": "0b8da6426c0328610eabc8c8e307fdaca69bccbdbf71366c48dbe60972c628cc",
-      "bytes": 159575,
-      "rows": 8,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CliffordAlgebra.foldl_algebraMap",
     "mathlib:CliffordAlgebra.foldl_mul",
@@ -1459,5 +1450,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Fold.lean\",null,null,\"CliffordAlgebra.foldl_prod_map_\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Fold.lean\",null,null,\"CliffordAlgebra.foldl_\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Fold.lean\",null,null,\"CliffordAlgebra.foldr'Aux_foldr'Aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159575,
+      "path": "data/train/p1c/mathlib-001256-0000-0b8da6426c032861.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0b8da6426c0328610eabc8c8e307fdaca69bccbdbf71366c48dbe60972c628cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001257.json b/manifests/batches/mathlib/001257.json
index 0b502c7d169e714048c5b164df5f301225f37f50..847cf84e08fd51703085ed5ce1a7eb6dc0dc6951 100644
--- a/manifests/batches/mathlib/001257.json
+++ b/manifests/batches/mathlib/001257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001257",
   "batch_fingerprint": "b508537e479304c6ed6ccc67607290ef38eea1e4eac97b5931ed149bd59d1cfd",
   "evidence": {
@@ -375,15 +374,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001257-0000-338004074122e2b4.parquet",
-      "sha256": "338004074122e2b466524e41a6489b98c3aeccc9c2085af8ea81b4056b2c9489",
-      "bytes": 131166,
-      "rows": 17,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CliffordAlgebra.commute_map_mul_map_of_isOrtho_of_mem_evenOdd_zero_left",
     "mathlib:CliffordAlgebra.commute_map_mul_map_of_isOrtho_of_mem_evenOdd_zero_right",
@@ -409,5 +400,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean\",null,null,\"CliffordAlgebra.ofProd_\u03b9_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean\",null,null,\"CliffordAlgebra.toProd_one_tmul_\u03b9\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean\",null,null,\"CliffordAlgebra.toProd_\u03b9_tmul_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131166,
+      "path": "data/train/pf4/mathlib-001257-0000-338004074122e2b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "338004074122e2b466524e41a6489b98c3aeccc9c2085af8ea81b4056b2c9489"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001258.json b/manifests/batches/mathlib/001258.json
index 47a3d26562e94a221c32b0f69ccd50314ed80e3f..ba67924a194c3d4d7de88c68cf7e501ec08692c5 100644
--- a/manifests/batches/mathlib/001258.json
+++ b/manifests/batches/mathlib/001258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001258",
   "batch_fingerprint": "bde1d706e254a9400be1f1783e061120fac4b42d795a398391090614294de436",
   "evidence": {
@@ -62,55 +61,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CliffordAlgebra.star_algebraMap",
+    "mathlib:CliffordAlgebra.star_\u03b9",
+    "mathlib:coevaluation_apply_one",
+    "mathlib:contractLeft_assoc_coevaluation",
+    "mathlib:contractLeft_assoc_coevaluation'"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean\",null,null,\"CliffordAlgebra.star_algebraMap\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean\",null,null,\"CliffordAlgebra.star_\u03b9\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"coevaluation_apply_one\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"contractLeft_assoc_coevaluation\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"contractLeft_assoc_coevaluation'\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001258-0000-b442d7c446ec843b.parquet",
-      "sha256": "b442d7c446ec843b9b6e34df91a86df797c06ca3ffc01afc7bf10bf194fa8c09",
       "bytes": 275484,
+      "path": "data/train/p23/mathlib-001258-0000-b442d7c446ec843b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
+      "sha256": "b442d7c446ec843b9b6e34df91a86df797c06ca3ffc01afc7bf10bf194fa8c09"
     },
     {
-      "path": "data/train/mathlib-001258-0001-e41a9ddb4614e04d.parquet",
-      "sha256": "e41a9ddb4614e04d57e90100fb679037be559deaeac1c7d4aba2806d92d41ada",
       "bytes": 287429,
+      "path": "data/train/p23/mathlib-001258-0001-e41a9ddb4614e04d.parquet",
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       "rows": 4,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
+      "sha256": "e41a9ddb4614e04d57e90100fb679037be559deaeac1c7d4aba2806d92d41ada"
     },
     {
-      "path": "data/train/mathlib-001258-0002-e8c619b47c837cb5.parquet",
-      "sha256": "e8c619b47c837cb5a6134b8a8037e8ea8134c41c6eaa8bb7b137538ba1bd39a8",
       "bytes": 314955,
+      "path": "data/train/p23/mathlib-001258-0002-e8c619b47c837cb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
+      "sha256": "e8c619b47c837cb5a6134b8a8037e8ea8134c41c6eaa8bb7b137538ba1bd39a8"
     },
     {
-      "path": "data/train/mathlib-001258-0003-119233f428bd03bd.parquet",
-      "sha256": "119233f428bd03bd8cac7bdfa7cdef5756d8ec0317b903f3d26486af955d9d35",
       "bytes": 402105,
+      "path": "data/train/p23/mathlib-001258-0003-119233f428bd03bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
+      "sha256": "119233f428bd03bd8cac7bdfa7cdef5756d8ec0317b903f3d26486af955d9d35"
     },
     {
-      "path": "data/train/mathlib-001258-0004-11fec81193cfbf8a.parquet",
-      "sha256": "11fec81193cfbf8a6ebeda6631368f22b12fa5fcbaab02d649a814bbf76e0538",
       "bytes": 140204,
+      "path": "data/train/p23/mathlib-001258-0004-11fec81193cfbf8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
+      "sha256": "11fec81193cfbf8a6ebeda6631368f22b12fa5fcbaab02d649a814bbf76e0538"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CliffordAlgebra.star_algebraMap",
-    "mathlib:CliffordAlgebra.star_\u03b9",
-    "mathlib:coevaluation_apply_one",
-    "mathlib:contractLeft_assoc_coevaluation",
-    "mathlib:contractLeft_assoc_coevaluation'"
-  ],
-  "proof_keys": [
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-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean\",null,null,\"CliffordAlgebra.star_\u03b9\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"coevaluation_apply_one\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"contractLeft_assoc_coevaluation\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Coevaluation.lean\",null,null,\"contractLeft_assoc_coevaluation'\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001259.json b/manifests/batches/mathlib/001259.json
index f1cd38b27ea08d9b5f3975372072606b18906e8a..14ea11d41cc39c6b94aaaf73ef83e392b545f482 100644
--- a/manifests/batches/mathlib/001259.json
+++ b/manifests/batches/mathlib/001259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001259",
   "batch_fingerprint": "e22ed47770150a63eab0adac94e62b9ee4a9d0ff8592519a0aba6149fdb57488",
   "evidence": {
@@ -258,29 +257,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001259-0000-158b2caf6dfad65f.parquet",
-      "sha256": "158b2caf6dfad65f340391b854a388e08483467bc40f473e6ae71b655bd02381",
-      "bytes": 333333,
-      "rows": 26,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001259-0000-790e71275301381d.parquet",
-      "sha256": "790e71275301381d5696df9c1fae571ee74af2539788ceee2174b7755b104421",
-      "bytes": 41187,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001259-0000-a31c26af1c7d679a.parquet",
-      "sha256": "a31c26af1c7d679a199cc590e9ced5d1d2b48f19b71ef55da3930ce8b7435fbd",
-      "bytes": 131176,
-      "rows": 12,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:comp_dualTensorHom",
     "mathlib:cross_anticomm",
@@ -326,5 +303,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CrossProduct.lean\",null,null,\"leibniz_cross\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CrossProduct.lean\",null,null,\"triple_product_eq_det\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/CrossProduct.lean\",null,null,\"triple_product_permutation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333333,
+      "path": "data/train/p8a/mathlib-001259-0000-158b2caf6dfad65f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "158b2caf6dfad65f340391b854a388e08483467bc40f473e6ae71b655bd02381"
+    },
+    {
+      "bytes": 41187,
+      "path": "data/dev/p8a/mathlib-001259-0000-790e71275301381d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "790e71275301381d5696df9c1fae571ee74af2539788ceee2174b7755b104421"
+    },
+    {
+      "bytes": 131176,
+      "path": "data/internal_test/p8a/mathlib-001259-0000-a31c26af1c7d679a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a31c26af1c7d679a199cc590e9ced5d1d2b48f19b71ef55da3930ce8b7435fbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001260.json b/manifests/batches/mathlib/001260.json
index f332cbebab0596bf013e6aeba4b39d414f1f0142..a8fc26edaaa33c025d17efdcb3c4fbbcca7c4390 100644
--- a/manifests/batches/mathlib/001260.json
+++ b/manifests/batches/mathlib/001260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001260",
   "batch_fingerprint": "87f6881b0ec61f8b80448b7a402c8245e807c25cf88d0659258a0d1e2000e14a",
   "evidence": {
@@ -3110,22 +3109,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001260-0000-77df35bf5c8173f2.parquet",
-      "sha256": "77df35bf5c8173f2344523fdf1fcb185e356f8c0cdbfa744c8b7de32ca0dc50d",
-      "bytes": 326504,
-      "rows": 58,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001260-0000-9b3c313aa43b6674.parquet",
-      "sha256": "9b3c313aa43b667436d8088f669928a545e5f3dd7bc2ba32460e9c92636464a2",
-      "bytes": 69189,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlternatingMap.eq_smul_basis_det",
     "mathlib:AlternatingMap.map_basis_eq_zero_iff",
@@ -3195,5 +3179,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Determinant.lean\",null,null,\"Matrix.det_comm'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Determinant.lean\",null,null,\"Matrix.det_conj_of_mul_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Determinant.lean\",null,null,\"Pi.basisFun_det\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326504,
+      "path": "data/train/pe3/mathlib-001260-0000-77df35bf5c8173f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "77df35bf5c8173f2344523fdf1fcb185e356f8c0cdbfa744c8b7de32ca0dc50d"
+    },
+    {
+      "bytes": 69189,
+      "path": "data/internal_test/pe3/mathlib-001260-0000-9b3c313aa43b6674.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9b3c313aa43b667436d8088f669928a545e5f3dd7bc2ba32460e9c92636464a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001261.json b/manifests/batches/mathlib/001261.json
index eb7a90ba48e5fd4bce2f8878af657bbe01194e81..88ab1312f7f3d3866ddfdc353da5a5194f2291ff 100644
--- a/manifests/batches/mathlib/001261.json
+++ b/manifests/batches/mathlib/001261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001261",
   "batch_fingerprint": "9ed1519558bf71233ba1fcf882f56d65b179f6ebab314c8cc1392993f1723c49",
   "evidence": {
@@ -1493,29 +1492,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001261-0000-309d4e096c2deaf7.parquet",
-      "sha256": "309d4e096c2deaf7e514d3e090e38d3d97d592c97936a55f678f7779d13dcd56",
-      "bytes": 407400,
-      "rows": 91,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001261-0000-cf52bb5c20261ff9.parquet",
-      "sha256": "cf52bb5c20261ff9c32d1efae10c4b03741d366eb8f7cdf13fc2e506bc0163ca",
-      "bytes": 62225,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001261-0000-27b9316d04487431.parquet",
-      "sha256": "27b9316d04487431f6ccbdcf92de3d4df41fe39024977e4644357f2e528db358",
-      "bytes": 61612,
-      "rows": 7,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.lift_rank_eq_of_equiv_equiv",
     "mathlib:Algebra.lift_rank_le_of_surjective_injective",
@@ -1637,5 +1614,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Constructions.lean\",null,null,\"rank_tensorProduct'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Constructions.lean\",null,null,\"subalgebra_top_finrank_eq_submodule_top_finrank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Constructions.lean\",null,null,\"subalgebra_top_rank_eq_submodule_top_rank\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407400,
+      "path": "data/train/pa4/mathlib-001261-0000-309d4e096c2deaf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "309d4e096c2deaf7e514d3e090e38d3d97d592c97936a55f678f7779d13dcd56"
+    },
+    {
+      "bytes": 62225,
+      "path": "data/dev/pa4/mathlib-001261-0000-cf52bb5c20261ff9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cf52bb5c20261ff9c32d1efae10c4b03741d366eb8f7cdf13fc2e506bc0163ca"
+    },
+    {
+      "bytes": 61612,
+      "path": "data/internal_test/pa4/mathlib-001261-0000-27b9316d04487431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "27b9316d04487431f6ccbdcf92de3d4df41fe39024977e4644357f2e528db358"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001262.json b/manifests/batches/mathlib/001262.json
index ca6ddb57cfd2ede4e1bbca20336a9591739deaee..64b71aec590f1ebf6edc8565b224cf85e2474290 100644
--- a/manifests/batches/mathlib/001262.json
+++ b/manifests/batches/mathlib/001262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001262",
   "batch_fingerprint": "e1a8a23342e96bfd08dc902bfb17ed057fa606fdc4f3406a4382a7059bf7d0e3",
   "evidence": {
@@ -2611,22 +2610,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001262-0000-1b5cb2d16ccd28bb.parquet",
-      "sha256": "1b5cb2d16ccd28bb76df6632e3185a5d45a9a67ed22293a64e5d7b872966f137",
-      "bytes": 280459,
-      "rows": 66,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001262-0000-dd44244d0fee3999.parquet",
-      "sha256": "dd44244d0fee3999916dc2b1f14ea391a93d94ce834f87a6fdd209c7eec8d1a9",
-      "bytes": 72218,
-      "rows": 8,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.nonempty_fintype_index_of_rank_lt_aleph0",
     "mathlib:CompleteLattice.Independent.subtype_ne_bot_le_finrank",
@@ -2698,5 +2682,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Finite.lean\",null,null,\"rank_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Finite.lean\",null,null,\"rank_pos_iff_exists_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Finite.lean\",null,null,\"rank_zero_iff_forall_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280459,
+      "path": "data/train/p36/mathlib-001262-0000-1b5cb2d16ccd28bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "1b5cb2d16ccd28bb76df6632e3185a5d45a9a67ed22293a64e5d7b872966f137"
+    },
+    {
+      "bytes": 72218,
+      "path": "data/internal_test/p36/mathlib-001262-0000-dd44244d0fee3999.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "dd44244d0fee3999916dc2b1f14ea391a93d94ce834f87a6fdd209c7eec8d1a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001263.json b/manifests/batches/mathlib/001263.json
index ac56c86369a34703c98df1ba7d64e24f583079bc..eaf8955185ac8e627cc436ecdbf455d3bc4a4b67 100644
--- a/manifests/batches/mathlib/001263.json
+++ b/manifests/batches/mathlib/001263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001263",
   "batch_fingerprint": "886c2d4a38f35813f615bcd430a9c153d85f3ec8654668a33a8fb2cb1411fcaf",
   "evidence": {
@@ -542,22 +541,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001263-0000-7cd2925c9ae14269.parquet",
-      "sha256": "7cd2925c9ae14269e568a41a859f230b2eec3aa28b173e92c0575e53fab8c4d0",
-      "bytes": 91625,
-      "rows": 22,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001263-0000-0229231aefdeec7d.parquet",
-      "sha256": "0229231aefdeec7d649970493e0ab18d57970e1927b66ab07ab85ddcaedb1781",
-      "bytes": 67286,
-      "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FiniteDimensional.basisUnique_repr_eq_zero_iff",
     "mathlib:FiniteDimensional.finrank_eq_card_chooseBasisIndex",
@@ -595,5 +579,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Free.lean\",null,null,\"Module.rank_lt_alpeh0_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Free.lean\",null,null,\"lift_rank_mul_lift_rank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/Free.lean\",null,null,\"rank_mul_rank\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91625,
+      "path": "data/train/pb6/mathlib-001263-0000-7cd2925c9ae14269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7cd2925c9ae14269e568a41a859f230b2eec3aa28b173e92c0575e53fab8c4d0"
+    },
+    {
+      "bytes": 67286,
+      "path": "data/internal_test/pb6/mathlib-001263-0000-0229231aefdeec7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0229231aefdeec7d649970493e0ab18d57970e1927b66ab07ab85ddcaedb1781"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001264.json b/manifests/batches/mathlib/001264.json
index 9449f607d50800dd3b281918bfcdc00ce8b479cf..4fab384fb78063457b4a09d719d9b849b85dcc45 100644
--- a/manifests/batches/mathlib/001264.json
+++ b/manifests/batches/mathlib/001264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001264",
   "batch_fingerprint": "a10be1f962924c3972f74cb818d3ee45ae47a5656d039e58dfb9f99be5a734ce",
   "evidence": {
@@ -1852,29 +1851,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001264-0000-eaa45f96bc0e4d3a.parquet",
-      "sha256": "eaa45f96bc0e4d3aa78d52edd086ad9e7e17ab2318d994661939cc779563d58c",
-      "bytes": 90791,
-      "rows": 18,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001264-0000-c995980bd8bb0ed1.parquet",
-      "sha256": "c995980bd8bb0ed15c31ea609bdadc783703a6a1b49f8f018ff4fdd81b0d40b0",
-      "bytes": 50470,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001264-0000-2164bef0406d21d9.parquet",
-      "sha256": "2164bef0406d21d9c25fd748dacaaedc5a1369f0dada921aa05b35d862027eee",
-      "bytes": 73840,
-      "rows": 7,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.lift_rank_comp_le_right",
     "mathlib:LinearMap.rank_add_le",
@@ -1910,5 +1887,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/LinearMap.lean\",null,null,\"LinearMap.rank_comp_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/LinearMap.lean\",null,null,\"LinearMap.rank_comp_le_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/LinearMap.lean\",null,null,\"LinearMap.rank_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90791,
+      "path": "data/train/p9d/mathlib-001264-0000-eaa45f96bc0e4d3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "eaa45f96bc0e4d3aa78d52edd086ad9e7e17ab2318d994661939cc779563d58c"
+    },
+    {
+      "bytes": 50470,
+      "path": "data/dev/p9d/mathlib-001264-0000-c995980bd8bb0ed1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c995980bd8bb0ed15c31ea609bdadc783703a6a1b49f8f018ff4fdd81b0d40b0"
+    },
+    {
+      "bytes": 73840,
+      "path": "data/internal_test/p9d/mathlib-001264-0000-2164bef0406d21d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2164bef0406d21d9c25fd748dacaaedc5a1369f0dada921aa05b35d862027eee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001265.json b/manifests/batches/mathlib/001265.json
index dacd1241b0b5233b5ab96d52db340fef700fa8f5..f8f786aefddebc4ae8785ad1501ee30ea1eb6d75 100644
--- a/manifests/batches/mathlib/001265.json
+++ b/manifests/batches/mathlib/001265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001265",
   "batch_fingerprint": "ed6b532dcc22e71760e251205e4c4819df97a72fa6cf95a5037fff3c1d217bb1",
   "evidence": {
@@ -1022,22 +1021,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001265-0000-d0422ec8ec4e3df6.parquet",
-      "sha256": "d0422ec8ec4e3df6fcbbba9055660a01db76fa270e29c918a7b85cf85ef16c13",
-      "bytes": 127244,
-      "rows": 27,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001265-0000-3d4131f8b275c171.parquet",
-      "sha256": "3d4131f8b275c171bed95149e5c4adab190efdc8c24eed95e13be88551e1ada7",
-      "bytes": 65387,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalizedModule.linearIndependent_lift",
     "mathlib:IsLocalizedModule.rank_eq",
@@ -1063,5 +1047,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/RankNullity.lean\",null,null,\"lift_rank_range_add_rank_ker\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/RankNullity.lean\",null,null,\"rank_eq_of_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Dimension/RankNullity.lean\",null,null,\"rank_range_add_rank_ker\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127244,
+      "path": "data/train/p48/mathlib-001265-0000-d0422ec8ec4e3df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "d0422ec8ec4e3df6fcbbba9055660a01db76fa270e29c918a7b85cf85ef16c13"
+    },
+    {
+      "bytes": 65387,
+      "path": "data/dev/p48/mathlib-001265-0000-3d4131f8b275c171.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3d4131f8b275c171bed95149e5c4adab190efdc8c24eed95e13be88551e1ada7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001266.json b/manifests/batches/mathlib/001266.json
index f99812a978d62f2f3de68fc2b09dc37d9cb4dee3..5650559d86cc783de97aaf0ef4eb8e14718ec676 100644
--- a/manifests/batches/mathlib/001266.json
+++ b/manifests/batches/mathlib/001266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001266",
   "batch_fingerprint": "a52d2d7ccdc04a29d6b85057b890a88565c345f0f6776a2a8fe5540804822227",
   "evidence": {
@@ -2140,29 +2139,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001266-0000-308583fb81b02941.parquet",
-      "sha256": "308583fb81b029410b22a7225ee21e13b3793ccf51b3961d5c51f9b80a86239e",
-      "bytes": 208134,
-      "rows": 49,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
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-      "path": "data/dev/mathlib-001266-0000-3f9cc6cbf5d5af24.parquet",
-      "sha256": "3f9cc6cbf5d5af24039f44d82ca562c590d5438e0f94c235c803351c32eddb9c",
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-      "rows": 2,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001266-0000-fb9f48b001ed5f7a.parquet",
-      "sha256": "fb9f48b001ed5f7a2c12bf2b22f7472e6019a0159f60c66c7e5705b86248644d",
-      "bytes": 60491,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.card_le_card_of_linearIndependent",
     "mathlib:Basis.card_le_card_of_linearIndependent_aux",
@@ -2228,5 +2205,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/Finsupp.lean\",null,null,\"finsuppTensorFinsuppRid_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/Finsupp.lean\",null,null,\"finsuppTensorFinsuppRid_single_tmul_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/Finsupp.lean\",null,null,\"finsuppTensorFinsupp_single\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208134,
+      "path": "data/train/p2f/mathlib-001266-0000-308583fb81b02941.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "308583fb81b029410b22a7225ee21e13b3793ccf51b3961d5c51f9b80a86239e"
+    },
+    {
+      "bytes": 49668,
+      "path": "data/dev/p2f/mathlib-001266-0000-3f9cc6cbf5d5af24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3f9cc6cbf5d5af24039f44d82ca562c590d5438e0f94c235c803351c32eddb9c"
+    },
+    {
+      "bytes": 60491,
+      "path": "data/internal_test/p2f/mathlib-001266-0000-fb9f48b001ed5f7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fb9f48b001ed5f7a2c12bf2b22f7472e6019a0159f60c66c7e5705b86248644d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001267.json b/manifests/batches/mathlib/001267.json
index 4a66834fe93ebd65b8c4cc0994eeda0eecd0490c..75f34823c7d780bdd7ac11525801371b873e4dcc 100644
--- a/manifests/batches/mathlib/001267.json
+++ b/manifests/batches/mathlib/001267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001267",
   "batch_fingerprint": "2c1cc82135694f21499810db1d9459bc5c50fc53e03fa33c95627eea91ef64d7",
   "evidence": {
@@ -6808,22 +6807,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001267-0000-dc9c98921a60adb5.parquet",
-      "sha256": "dc9c98921a60adb537e6a6bcd308528ceea7531eff9d974c8684a40e7d9d4836",
-      "bytes": 85181,
-      "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001267-0000-e68612a1c5853a58.parquet",
-      "sha256": "e68612a1c5853a58e2d1d0d6d2e201c9390e289fe84027b7767abc289220a3db",
-      "bytes": 68625,
-      "rows": 4,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TensorProduct.directSumLeft_symm_lof_tmul",
     "mathlib:TensorProduct.directSumLeft_tmul_lof",
@@ -6839,5 +6823,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean\",null,null,\"TensorProduct.directSumRight_tmul_lof\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean\",null,null,\"TensorProduct.directSum_lof_tmul_lof\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean\",null,null,\"TensorProduct.directSum_symm_lof_tmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85181,
+      "path": "data/train/pf5/mathlib-001267-0000-dc9c98921a60adb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dc9c98921a60adb537e6a6bcd308528ceea7531eff9d974c8684a40e7d9d4836"
+    },
+    {
+      "bytes": 68625,
+      "path": "data/internal_test/pf5/mathlib-001267-0000-e68612a1c5853a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e68612a1c5853a58e2d1d0d6d2e201c9390e289fe84027b7767abc289220a3db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001268.json b/manifests/batches/mathlib/001268.json
index 516a9b400fa5c4b6d145e08114002c86cfdc32ad..91404339bab6c323691f874d0dbdc85950fa2d9f 100644
--- a/manifests/batches/mathlib/001268.json
+++ b/manifests/batches/mathlib/001268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001268",
   "batch_fingerprint": "bc16794e4ff77a55c0c67aeb9728cc5d6fd0254dbf7511e234c67c0d68a89bfb",
   "evidence": {
@@ -1544,29 +1543,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001268-0000-0801c0eb19d7abb2.parquet",
-      "sha256": "0801c0eb19d7abb29cb6ea54cc3550d51884905960738761fa1ff626987b9228",
-      "bytes": 438350,
-      "rows": 66,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001268-0000-fb2a58a65da7ac82.parquet",
-      "sha256": "fb2a58a65da7ac828b9ffe21548067bf1ea5492c8c5eecc4d87add2bddea3b53",
-      "bytes": 36705,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001268-0000-e699436f49c41310.parquet",
-      "sha256": "e699436f49c4131039c366b5b79bd9e36da8b1ef18b39c82d2fc9619beeaaa46",
-      "bytes": 85704,
-      "rows": 11,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Module.End.HasEigenvalue.mem_spectrum",
     "mathlib:Module.End.HasEigenvector.pow_apply",
@@ -1624,5 +1601,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Basic.lean\",null,null,\"Submodule.inf_genEigenspace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Matrix.lean\",null,null,\"hasEigenvector_toLin_diagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Matrix.lean\",null,null,\"spectrum_diagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438350,
+      "path": "data/train/pa2/mathlib-001268-0000-0801c0eb19d7abb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "0801c0eb19d7abb29cb6ea54cc3550d51884905960738761fa1ff626987b9228"
+    },
+    {
+      "bytes": 36705,
+      "path": "data/dev/pa2/mathlib-001268-0000-fb2a58a65da7ac82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fb2a58a65da7ac828b9ffe21548067bf1ea5492c8c5eecc4d87add2bddea3b53"
+    },
+    {
+      "bytes": 85704,
+      "path": "data/internal_test/pa2/mathlib-001268-0000-e699436f49c41310.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e699436f49c4131039c366b5b79bd9e36da8b1ef18b39c82d2fc9619beeaaa46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001269.json b/manifests/batches/mathlib/001269.json
index 6c50b7aa557a5dcc54f3b794e3e8667923aa1f14..7b8296fdad217d5482370aec5baba0b8dd346761 100644
--- a/manifests/batches/mathlib/001269.json
+++ b/manifests/batches/mathlib/001269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001269",
   "batch_fingerprint": "28f700b16d3b3272170ef51296a017475618d747c732eb22f781bd285d5b7fa0",
   "evidence": {
@@ -570,22 +569,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001269-0000-12e48659a0e6dd40.parquet",
-      "sha256": "12e48659a0e6dd402afeab8b848998ec7ee6b0882d0088e10422ac3117cd6568",
-      "bytes": 63131,
-      "rows": 11,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001269-0000-8c6c9702c4ea82b8.parquet",
-      "sha256": "8c6c9702c4ea82b84a32632952bfe2e66349cd9f6f39510a2a2b02472ee2dbfc",
-      "bytes": 65707,
-      "rows": 7,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.finite_spectrum",
     "mathlib:Module.End.IsSemisimple.maxGenEigenspace_eq_eigenspace",
@@ -601,5 +585,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Minpoly.lean\",null,null,\"Module.End.isRoot_of_hasEigenvalue\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Minpoly.lean\",null,null,\"Module.End.ker_aeval_ring_hom'_unit_polynomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Semisimple.lean\",null,null,\"Module.End.IsSemisimple.maxGenEigenspace_eq_eigenspace\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63131,
+      "path": "data/train/p9f/mathlib-001269-0000-12e48659a0e6dd40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "12e48659a0e6dd402afeab8b848998ec7ee6b0882d0088e10422ac3117cd6568"
+    },
+    {
+      "bytes": 65707,
+      "path": "data/internal_test/p9f/mathlib-001269-0000-8c6c9702c4ea82b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8c6c9702c4ea82b84a32632952bfe2e66349cd9f6f39510a2a2b02472ee2dbfc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001270.json b/manifests/batches/mathlib/001270.json
index 7a8feb4795d22ecdf4bff855669603519eb0814e..a6bfefe422f8fb2efccc3d302ca9523c19d722b4 100644
--- a/manifests/batches/mathlib/001270.json
+++ b/manifests/batches/mathlib/001270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001270",
   "batch_fingerprint": "6a826f11518063f361fbaf5f4f8dec41bb68529df8ff6648ad26901015b8b33b",
   "evidence": {
@@ -1874,22 +1873,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001270-0000-9572c91a349c363d.parquet",
-      "sha256": "9572c91a349c363d69bfcb82f52bfb670728964e5f3ea38a90b85d657550a476",
-      "bytes": 107336,
-      "rows": 10,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001270-0000-1416cb91363d8f76.parquet",
-      "sha256": "1416cb91363d8f7687885b1ed4fcdf3d5007591b4c6a80eea7b3094b5f2d8422",
-      "bytes": 47854,
-      "rows": 2,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsNilpotent.charpoly_eq_X_pow_finrank",
     "mathlib:Module.End.exists_eigenvalue",
@@ -1901,5 +1885,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean\",null,null,\"Module.End.iSup_genEigenspace_restrict_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean\",null,null,\"Submodule.eq_iSup_inf_genEigenspace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Eigenspace/Zero.lean\",null,null,\"IsNilpotent.charpoly_eq_X_pow_finrank\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107336,
+      "path": "data/train/p67/mathlib-001270-0000-9572c91a349c363d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9572c91a349c363d69bfcb82f52bfb670728964e5f3ea38a90b85d657550a476"
+    },
+    {
+      "bytes": 47854,
+      "path": "data/internal_test/p67/mathlib-001270-0000-1416cb91363d8f76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1416cb91363d8f7687885b1ed4fcdf3d5007591b4c6a80eea7b3094b5f2d8422"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001271.json b/manifests/batches/mathlib/001271.json
index 6147d01eb8a62fafec61bfa6a8c639f3a8a0656a..19120f07f20b94bda693e76d117366f291a13aff 100644
--- a/manifests/batches/mathlib/001271.json
+++ b/manifests/batches/mathlib/001271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001271",
   "batch_fingerprint": "0558f641525dfe3b31ec445a0ebd2ec16a6db138f22bc09c0272c00a7fa95344",
   "evidence": {
@@ -1047,29 +1046,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001271-0000-e1175859b49e6cfb.parquet",
-      "sha256": "e1175859b49e6cfbaf56851cb0186666484f87b546d3ac7d897f69f869e10ee6",
-      "bytes": 177461,
-      "rows": 27,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001271-0000-d0a7db333a3cd041.parquet",
-      "sha256": "d0a7db333a3cd0416472b169d88c4b4a8ff252fd540e41e4c83edc1c72a05a12",
-      "bytes": 69691,
-      "rows": 2,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001271-0000-8785f22bb938a06f.parquet",
-      "sha256": "8785f22bb938a06f852a07f44806175cf71449ca8d0b3227cae56decd8337ac8",
-      "bytes": 169974,
-      "rows": 17,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ExteriorAlgebra.algebraMap_leftInverse",
     "mathlib:ExteriorAlgebra.comp_\u03b9_sq_zero",
@@ -1103,5 +1080,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean\",null,null,\"ExteriorAlgebra.\u03b9_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean\",null,null,\"ExteriorAlgebra.\u03b9_leftInverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean\",null,null,\"TensorAlgebra.toExterior_\u03b9\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177461,
+      "path": "data/train/pe7/mathlib-001271-0000-e1175859b49e6cfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e1175859b49e6cfbaf56851cb0186666484f87b546d3ac7d897f69f869e10ee6"
+    },
+    {
+      "bytes": 69691,
+      "path": "data/dev/pe7/mathlib-001271-0000-d0a7db333a3cd041.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d0a7db333a3cd0416472b169d88c4b4a8ff252fd540e41e4c83edc1c72a05a12"
+    },
+    {
+      "bytes": 169974,
+      "path": "data/internal_test/pe7/mathlib-001271-0000-8785f22bb938a06f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8785f22bb938a06f852a07f44806175cf71449ca8d0b3227cae56decd8337ac8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001272.json b/manifests/batches/mathlib/001272.json
index c38dc55fb00e707496c34fe32ca234e72b56b59a..53499e2c6f3fcb0f33cb3313ba28e775ccf1a699 100644
--- a/manifests/batches/mathlib/001272.json
+++ b/manifests/batches/mathlib/001272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001272",
   "batch_fingerprint": "b461592ed4955c961026f04916da6347898b91a361223f1948390ac88d238113",
   "evidence": {
@@ -2776,29 +2775,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001272-0000-d935b02a8b9a5abd.parquet",
-      "sha256": "d935b02a8b9a5abd87576b677f216df488bde9db067340a40e9208617bf0a231",
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-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001272-0000-f854c33fdf3a1d11.parquet",
-      "sha256": "f854c33fdf3a1d11e842b353d14245844eb7b48cda48a4c54ac5ecc3eb68a8c2",
-      "bytes": 43840,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001272-0000-70105af6a83a70f2.parquet",
-      "sha256": "70105af6a83a70f225e02b9c402e965f64b64fe297a45628b88149ade15d4a07",
-      "bytes": 65727,
-      "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ExteriorAlgebra.liftAlternating_algebraMap",
     "mathlib:ExteriorAlgebra.liftAlternating_one",
@@ -2854,5 +2831,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FiniteDimensional.lean\",null,null,\"coe_setBasisOfLinearIndependentOfCardEqFinrank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FiniteDimensional.lean\",null,null,\"finrank_eq_one_iff_of_nonzero'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FiniteDimensional.lean\",null,null,\"is_simple_module_of_finrank_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337428,
+      "path": "data/train/pb8/mathlib-001272-0000-d935b02a8b9a5abd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "d935b02a8b9a5abd87576b677f216df488bde9db067340a40e9208617bf0a231"
+    },
+    {
+      "bytes": 43840,
+      "path": "data/dev/pb8/mathlib-001272-0000-f854c33fdf3a1d11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f854c33fdf3a1d11e842b353d14245844eb7b48cda48a4c54ac5ecc3eb68a8c2"
+    },
+    {
+      "bytes": 65727,
+      "path": "data/internal_test/pb8/mathlib-001272-0000-70105af6a83a70f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "70105af6a83a70f225e02b9c402e965f64b64fe297a45628b88149ade15d4a07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001273.json b/manifests/batches/mathlib/001273.json
index db96412bf569252cb24839042c8a09d692009c4f..d7edf4908446e4494d49d813661f447ed542c1f7 100644
--- a/manifests/batches/mathlib/001273.json
+++ b/manifests/batches/mathlib/001273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001273",
   "batch_fingerprint": "788dd2a63f3a6007de463e1647c7878e4b0ce434bddf51ed30396effb1edd8ae",
   "evidence": {
@@ -3509,29 +3508,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001273-0000-3f47f4c929b97bf5.parquet",
-      "sha256": "3f47f4c929b97bf5384e6293da3e0fc0c0ba0a525368f8a2bc6e510c4ac7e375",
-      "bytes": 399480,
-      "rows": 74,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001273-0000-27eef81d2dde5c5d.parquet",
-      "sha256": "27eef81d2dde5c5d045a76ebd8a62a7c8aa77d058e3025d8d4d5f98b6762c42e",
-      "bytes": 51058,
-      "rows": 3,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001273-0000-440148e26731eb51.parquet",
-      "sha256": "440148e26731eb51fb1179faeec6aec45d2063684756b6ff460f4c7e33d8a707",
-      "bytes": 89116,
-      "rows": 13,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finsupp.LinearEquiv.finsuppUnique_symm_apply",
     "mathlib:Finsupp.apply_total",
@@ -3635,5 +3612,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Finsupp.lean\",null,null,\"mem_span_range_iff_exists_fun\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Finsupp.lean\",null,null,\"mem_span_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Finsupp.lean\",null,null,\"top_le_span_range_iff_forall_exists_fun\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399480,
+      "path": "data/train/p93/mathlib-001273-0000-3f47f4c929b97bf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "3f47f4c929b97bf5384e6293da3e0fc0c0ba0a525368f8a2bc6e510c4ac7e375"
+    },
+    {
+      "bytes": 51058,
+      "path": "data/dev/p93/mathlib-001273-0000-27eef81d2dde5c5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "27eef81d2dde5c5d045a76ebd8a62a7c8aa77d058e3025d8d4d5f98b6762c42e"
+    },
+    {
+      "bytes": 89116,
+      "path": "data/internal_test/p93/mathlib-001273-0000-440148e26731eb51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "440148e26731eb51fb1179faeec6aec45d2063684756b6ff460f4c7e33d8a707"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001274.json b/manifests/batches/mathlib/001274.json
index bf4136d3e7fbeb777296dd69947223a9155727f7..29abe1336d864bd4518c0d0c76ef1c7d94789a8c 100644
--- a/manifests/batches/mathlib/001274.json
+++ b/manifests/batches/mathlib/001274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001274",
   "batch_fingerprint": "76244fb7eaec2e39b43c4463e919d807b04960f17facff0524b4a124943e6000",
   "evidence": {
@@ -364,19 +363,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001274-0000-c19078baa7f702c3.parquet",
-      "sha256": "c19078baa7f702c3e53a5582f546d0926058ee70d6471943f87ea4ab8d1f586a",
-      "bytes": 34086,
-      "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FreeAlgebra.rank_eq"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeAlgebra.lean\",null,null,\"FreeAlgebra.rank_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34086,
+      "path": "data/train/p28/mathlib-001274-0000-c19078baa7f702c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c19078baa7f702c3e53a5582f546d0926058ee70d6471943f87ea4ab8d1f586a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001275.json b/manifests/batches/mathlib/001275.json
index 84f38259decc684a5d20379198f3fe143cd0e719..8f8b2cb3101ba12c2b6ff347cdcc2d343d047dcd 100644
--- a/manifests/batches/mathlib/001275.json
+++ b/manifests/batches/mathlib/001275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001275",
   "batch_fingerprint": "29e952615fe22b4a27c5849aa367b07215537a5393d09efa0c13e3a7f3374970",
   "evidence": {
@@ -150,19 +149,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001275-0000-57e3b15f98981938.parquet",
-      "sha256": "57e3b15f989819389aa8a13964af1c8c8d6e3eb48d534b84c1c74452b3c7c0d7",
-      "bytes": 61899,
-      "rows": 3,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.det_zero''"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Determinant.lean\",null,null,\"LinearMap.det_zero''\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61899,
+      "path": "data/train/pb6/mathlib-001275-0000-57e3b15f98981938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "57e3b15f989819389aa8a13964af1c8c8d6e3eb48d534b84c1c74452b3c7c0d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001276.json b/manifests/batches/mathlib/001276.json
index a7b883898c1f17205011e8a6d9ba55986011d798..e26e9e0bff1240320a77d967924fb5f2e2aadb6f 100644
--- a/manifests/batches/mathlib/001276.json
+++ b/manifests/batches/mathlib/001276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001276",
   "batch_fingerprint": "4ec9ae6aeb8cfcdc9994b71790ef1cca860387ec27710fd8b8c8fec6a6f50cb4",
   "evidence": {
@@ -213,15 +212,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001276-0000-7df6ab6fe36fb30c.parquet",
-      "sha256": "7df6ab6fe36fb30c6aebc57d6306d1532a7239284085ae8e48e1af6e9eb44b29",
-      "bytes": 85463,
-      "rows": 9,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FiniteDimensional.finrank_linearMap",
     "mathlib:FiniteDimensional.finrank_linearMap_self",
@@ -235,5 +226,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Finite/Matrix.lean\",null,null,\"FiniteDimensional.rank_linearMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Finite/Matrix.lean\",null,null,\"FiniteDimensional.rank_linearMap_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Finite/Matrix.lean\",null,null,\"Matrix.rank_vecMulVec\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85463,
+      "path": "data/train/p8f/mathlib-001276-0000-7df6ab6fe36fb30c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7df6ab6fe36fb30c6aebc57d6306d1532a7239284085ae8e48e1af6e9eb44b29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001277.json b/manifests/batches/mathlib/001277.json
index 4e616648bb05130f17fa37d43e921937a8ab109c..64fc0f235969718e94f5ff55245ccbaad77b7ae1 100644
--- a/manifests/batches/mathlib/001277.json
+++ b/manifests/batches/mathlib/001277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001277",
   "batch_fingerprint": "ca228d3d8847714f5b65fb4570cdfe88eaddf1770c39cb20e52dc84e45e3aef6",
   "evidence": {
@@ -158,28 +157,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Ideal.finrank_quotient_eq_sum",
+    "mathlib:finrank_quotient_span_eq_natDegree_norm"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/IdealQuotient.lean\",null,null,\"Ideal.finrank_quotient_eq_sum\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Norm.lean\",null,null,\"finrank_quotient_span_eq_natDegree_norm\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001277-0000-191ee671e78fdbf2.parquet",
-      "sha256": "191ee671e78fdbf230b835ceaaea4bbe6f0e9e39fc1a2e89701f9a27cd463027",
       "bytes": 68366,
+      "path": "data/train/p99/mathlib-001277-0000-191ee671e78fdbf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
+      "sha256": "191ee671e78fdbf230b835ceaaea4bbe6f0e9e39fc1a2e89701f9a27cd463027"
     },
     {
-      "path": "data/internal_test/mathlib-001277-0000-4739e0cfac822842.parquet",
-      "sha256": "4739e0cfac822842a266e1fbb629cdec517bef021899fc4fc78cccd8470b7527",
       "bytes": 51175,
+      "path": "data/internal_test/p99/mathlib-001277-0000-4739e0cfac822842.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
+      "sha256": "4739e0cfac822842a266e1fbb629cdec517bef021899fc4fc78cccd8470b7527"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Ideal.finrank_quotient_eq_sum",
-    "mathlib:finrank_quotient_span_eq_natDegree_norm"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/IdealQuotient.lean\",null,null,\"Ideal.finrank_quotient_eq_sum\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/Norm.lean\",null,null,\"finrank_quotient_span_eq_natDegree_norm\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001278.json b/manifests/batches/mathlib/001278.json
index ebef702d7aea5314d9c9f42ab233c4393be332f5..7b247ca6eb59b39638194f547370d14bd61fca7c 100644
--- a/manifests/batches/mathlib/001278.json
+++ b/manifests/batches/mathlib/001278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001278",
   "batch_fingerprint": "9c7187a523aae673945d6a87fba95941d06478dbdedda6309105e232222121ae",
   "evidence": {
@@ -1586,22 +1585,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001278-0000-8370935e92fc6c20.parquet",
-      "sha256": "8370935e92fc6c20decd4c4cbbe129d038955ede995ac9b7ae17cba9198101e4",
-      "bytes": 150991,
-      "rows": 28,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/dev/mathlib-001278-0000-9bdf5fe80c26bf46.parquet",
-      "sha256": "9bdf5fe80c26bf4661183a5821544a4c98fe344295fae7f57a05495dc7c9b58d",
-      "bytes": 101213,
-      "rows": 6,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.SmithNormalForm.coord_apply_embedding_eq_smul_coord",
     "mathlib:Basis.SmithNormalForm.repr_comp_embedding_eq_smul",
@@ -1625,5 +1609,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/PID.lean\",null,null,\"eq_bot_of_generator_maximal_map_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/FreeModule/PID.lean\",null,null,\"eq_bot_of_generator_maximal_submoduleImage_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/GeneralLinearGroup.lean\",null,null,\"LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150991,
+      "path": "data/train/p7f/mathlib-001278-0000-8370935e92fc6c20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "8370935e92fc6c20decd4c4cbbe129d038955ede995ac9b7ae17cba9198101e4"
+    },
+    {
+      "bytes": 101213,
+      "path": "data/dev/p7f/mathlib-001278-0000-9bdf5fe80c26bf46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9bdf5fe80c26bf4661183a5821544a4c98fe344295fae7f57a05495dc7c9b58d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001279.json b/manifests/batches/mathlib/001279.json
index 9c46ab5fdaaf1d2f5d7ab74f34366864adb49a4d..9a156395e29317d86d24aef90c41aec219caa28c 100644
--- a/manifests/batches/mathlib/001279.json
+++ b/manifests/batches/mathlib/001279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001279",
   "batch_fingerprint": "71f02933ea1786cebfefba948d933ae7830b0974ae972cf7c8e3a1a726fdce89",
   "evidence": {
@@ -415,36 +414,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001279-0000-4dc34cd06094b68c.parquet",
-      "sha256": "4dc34cd06094b68c0489d7663b827e344266c7361ecbd9bc074bf87b7923b599",
-      "bytes": 195319,
-      "rows": 14,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/train/mathlib-001279-0001-5c6f5f09a67c8d74.parquet",
-      "sha256": "5c6f5f09a67c8d74db3868289d7dc65102011a9d769a30aa3d88f2769086b4ee",
-      "bytes": 134212,
-      "rows": 6,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/dev/mathlib-001279-0000-aa18fd33d8f8b57d.parquet",
-      "sha256": "aa18fd33d8f8b57db35929dc678164c5516607710ec26239e876387d2276680c",
-      "bytes": 64804,
-      "rows": 1,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001279-0000-7e5bd52a4d871a1f.parquet",
-      "sha256": "7e5bd52a4d871a1f7d22f85f3c0623313974392ae08df1bbf8b80aef0d1a68db",
-      "bytes": 122482,
-      "rows": 6,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.comap_leq_ker_subToSupQuotient",
     "mathlib:LinearMap.quotientInfEquivSupQuotient_injective",
@@ -470,5 +440,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Isomorphisms.lean\",null,null,\"LinearMap.quotientInfEquivSupQuotient_symm_apply_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Isomorphisms.lean\",null,null,\"Submodule.card_quotient_mul_card_quotient\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Isomorphisms.lean\",null,null,\"Submodule.quotientQuotientEquivQuotientAux_mk_mk\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195319,
+      "path": "data/train/pf9/mathlib-001279-0000-4dc34cd06094b68c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4dc34cd06094b68c0489d7663b827e344266c7361ecbd9bc074bf87b7923b599"
+    },
+    {
+      "bytes": 134212,
+      "path": "data/train/pf9/mathlib-001279-0001-5c6f5f09a67c8d74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5c6f5f09a67c8d74db3868289d7dc65102011a9d769a30aa3d88f2769086b4ee"
+    },
+    {
+      "bytes": 64804,
+      "path": "data/dev/pf9/mathlib-001279-0000-aa18fd33d8f8b57d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aa18fd33d8f8b57db35929dc678164c5516607710ec26239e876387d2276680c"
+    },
+    {
+      "bytes": 122482,
+      "path": "data/internal_test/pf9/mathlib-001279-0000-7e5bd52a4d871a1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7e5bd52a4d871a1f7d22f85f3c0623313974392ae08df1bbf8b80aef0d1a68db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001280.json b/manifests/batches/mathlib/001280.json
index 17efc841b660f5c9e842b0ad20027989e663cf9f..d8291a42108edf5b00cba2ef3c0e7aca1e73b526 100644
--- a/manifests/batches/mathlib/001280.json
+++ b/manifests/batches/mathlib/001280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001280",
   "batch_fingerprint": "6e4252996cf36727ab28af53a0a09923248f01282dc44c09d151f9ca75dc129c",
   "evidence": {
@@ -1473,29 +1472,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001280-0000-aa6099869f91f2fb.parquet",
-      "sha256": "aa6099869f91f2fb6178920bf2f63868dbbfa73f5d8e2f97c201df3bc7cd589d",
-      "bytes": 297879,
-      "rows": 74,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/dev/mathlib-001280-0000-4b702dde2e7fe31d.parquet",
-      "sha256": "4b702dde2e7fe31d44264d6a90f9a3daf954f774175b8d44e397a0766c8c98b0",
-      "bytes": 66491,
-      "rows": 6,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001280-0000-8c84d1d7b4585031.parquet",
-      "sha256": "8c84d1d7b458503120d2f15f1f9466dac770c5879731e1d33d108f804ced730a",
-      "bytes": 77665,
-      "rows": 12,
-      "revision": "d9462abbb0a50dc3ff4347c425365b9169cc7ce6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Lagrange.basisDivisor_inj",
     "mathlib:Lagrange.basisDivisor_ne_zero_iff",
@@ -1593,5 +1570,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Lagrange.lean\",null,null,\"Polynomial.eq_of_degrees_lt_of_eval_finset_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Lagrange.lean\",null,null,\"Polynomial.eq_of_degrees_lt_of_eval_index_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Lagrange.lean\",null,null,\"Polynomial.eq_zero_of_degree_lt_of_eval_finset_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297879,
+      "path": "data/train/p49/mathlib-001280-0000-aa6099869f91f2fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "aa6099869f91f2fb6178920bf2f63868dbbfa73f5d8e2f97c201df3bc7cd589d"
+    },
+    {
+      "bytes": 66491,
+      "path": "data/dev/p49/mathlib-001280-0000-4b702dde2e7fe31d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4b702dde2e7fe31d44264d6a90f9a3daf954f774175b8d44e397a0766c8c98b0"
+    },
+    {
+      "bytes": 77665,
+      "path": "data/internal_test/p49/mathlib-001280-0000-8c84d1d7b4585031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8c84d1d7b458503120d2f15f1f9466dac770c5879731e1d33d108f804ced730a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001281.json b/manifests/batches/mathlib/001281.json
index 9aed7ee36f2f3087e13077e4c0e75e1995557d3c..b322fc92542c673ad03f31cf05a70a30fbdbb1fa 100644
--- a/manifests/batches/mathlib/001281.json
+++ b/manifests/batches/mathlib/001281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001281",
   "batch_fingerprint": "31ececdf51d70c68a26883917114c70fae477b5224649f0b5d2ed16dbc9dddee",
   "evidence": {
@@ -9712,29 +9711,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001281-0000-1b4eea6b09f220c2.parquet",
-      "sha256": "1b4eea6b09f220c281eed4979cfe43c95c0b5d7ef59d7989b46775f3a770b24b",
-      "bytes": 408044,
-      "rows": 82,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/dev/mathlib-001281-0000-c21abe1dc35d273a.parquet",
-      "sha256": "c21abe1dc35d273a69f147c0931bc15ed1d998c2b9931d142c54ae475c8bcce6",
-      "bytes": 39761,
-      "rows": 1,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    },
-    {
-      "path": "data/internal_test/mathlib-001281-0000-f15e98bbcbebc2d1.parquet",
-      "sha256": "f15e98bbcbebc2d142899e9833f099a47e1875bdc9c16acf6bd0ef3c035af78e",
-      "bytes": 84671,
-      "rows": 10,
-      "revision": "f3081c93b6423a68ae221b1583ba95b3d39ae80e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fintype.linearIndependent_iff'",
     "mathlib:Fintype.not_linearIndependent_iff",
@@ -9822,5 +9799,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/LinearIndependent.lean\",null,null,\"linearIndependent_subtype_disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/LinearIndependent.lean\",null,null,\"linearIndependent_unique_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/LinearIndependent.lean\",null,null,\"not_linearIndependent_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 408044,
+      "path": "data/train/pfb/mathlib-001281-0000-1b4eea6b09f220c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "1b4eea6b09f220c281eed4979cfe43c95c0b5d7ef59d7989b46775f3a770b24b"
+    },
+    {
+      "bytes": 39761,
+      "path": "data/dev/pfb/mathlib-001281-0000-c21abe1dc35d273a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c21abe1dc35d273a69f147c0931bc15ed1d998c2b9931d142c54ae475c8bcce6"
+    },
+    {
+      "bytes": 84671,
+      "path": "data/internal_test/pfb/mathlib-001281-0000-f15e98bbcbebc2d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f15e98bbcbebc2d142899e9833f099a47e1875bdc9c16acf6bd0ef3c035af78e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001282.json b/manifests/batches/mathlib/001282.json
index 5d751db294a2b91f916bd09c66c4da2f5384ddb8..64797a9addfbf4c2ace2ca65845471d78b81a2ad 100644
--- a/manifests/batches/mathlib/001282.json
+++ b/manifests/batches/mathlib/001282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001282",
   "batch_fingerprint": "286d0c019bdef8f8ad0a7856fd14a0636ab331e44f4cd77dab3f6f910b9ac3c6",
   "evidence": {
@@ -2093,29 +2092,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001282-0000-a1af09c1498ff1bd.parquet",
-      "sha256": "a1af09c1498ff1bd2817a2b16e57e35308a1a6ff433973b46207c180a45d6c6a",
-      "bytes": 211207,
-      "rows": 42,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001282-0000-3046ec4b001eb5be.parquet",
-      "sha256": "3046ec4b001eb5be4c17c8efcebdd235292cf8bc441519c213b5764b68be79dc",
-      "bytes": 48745,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001282-0000-f3ad9dcc43840b3a.parquet",
-      "sha256": "f3ad9dcc43840b3aff5ebc520ff08d76eb180a957b069795195c8b284d2e38df",
-      "bytes": 52633,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.adjugate_apply",
     "mathlib:Matrix.adjugate_conjTranspose",
@@ -2161,5 +2138,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Adjugate.lean\",null,null,\"Matrix.mul_adjugate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Adjugate.lean\",null,null,\"Matrix.mul_adjugate_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Adjugate.lean\",null,null,\"Matrix.sum_cramer_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211207,
+      "path": "data/train/pf7/mathlib-001282-0000-a1af09c1498ff1bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "a1af09c1498ff1bd2817a2b16e57e35308a1a6ff433973b46207c180a45d6c6a"
+    },
+    {
+      "bytes": 48745,
+      "path": "data/dev/pf7/mathlib-001282-0000-3046ec4b001eb5be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3046ec4b001eb5be4c17c8efcebdd235292cf8bc441519c213b5764b68be79dc"
+    },
+    {
+      "bytes": 52633,
+      "path": "data/internal_test/pf7/mathlib-001282-0000-f3ad9dcc43840b3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f3ad9dcc43840b3aff5ebc520ff08d76eb180a957b069795195c8b284d2e38df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001283.json b/manifests/batches/mathlib/001283.json
index 0a50d17b62405f67974a1863fdecbc50654f9f11..b7edb046fc9e715391ce39e2d975e4ab737df47a 100644
--- a/manifests/batches/mathlib/001283.json
+++ b/manifests/batches/mathlib/001283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001283",
   "batch_fingerprint": "6eaadd7f23592d17003ed5f109e3be1b7237b59bc4d2a8922ceace65e9a391ce",
   "evidence": {
@@ -1213,29 +1212,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001283-0000-7cb3dbd49072f756.parquet",
-      "sha256": "7cb3dbd49072f756a05e68848b169c5a4cd51a9320ac56eb302accabb5ca9735",
-      "bytes": 335175,
-      "rows": 47,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001283-0000-cc6cd4916eb1acc9.parquet",
-      "sha256": "cc6cd4916eb1acc959e3a3c5968ba55f83a4495c0e0a41d8bb08b4e250b62b04",
-      "bytes": 58311,
-      "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001283-0000-a927922406b7b6c5.parquet",
-      "sha256": "a927922406b7b6c5d8695d1e9edcffca1ac1b878b62126854c79640a06ccba20",
-      "bytes": 68182,
-      "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.coePiBasisFun.toMatrix_eq_transpose",
     "mathlib:Basis.restrictScalars_toMatrix",
@@ -1297,5 +1274,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/BilinearForm.lean\",null,null,\"mem_selfAdjointMatricesSubmodule'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/BilinearForm.lean\",null,null,\"mem_skewAdjointMatricesSubmodule'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/BilinearForm.lean\",null,null,\"toBilin'Aux_toMatrixAux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335175,
+      "path": "data/train/p7d/mathlib-001283-0000-7cb3dbd49072f756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "7cb3dbd49072f756a05e68848b169c5a4cd51a9320ac56eb302accabb5ca9735"
+    },
+    {
+      "bytes": 58311,
+      "path": "data/dev/p7d/mathlib-001283-0000-cc6cd4916eb1acc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cc6cd4916eb1acc959e3a3c5968ba55f83a4495c0e0a41d8bb08b4e250b62b04"
+    },
+    {
+      "bytes": 68182,
+      "path": "data/internal_test/p7d/mathlib-001283-0000-a927922406b7b6c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a927922406b7b6c5d8695d1e9edcffca1ac1b878b62126854c79640a06ccba20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001284.json b/manifests/batches/mathlib/001284.json
index 279dca9b4ef779240d8d0e8914fa990bb5599546..e0d524c402419d98b130e9a745255a741cc733a7 100644
--- a/manifests/batches/mathlib/001284.json
+++ b/manifests/batches/mathlib/001284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001284",
   "batch_fingerprint": "b3192cfb65efb7f37e53319487ad05e9709360251d6fb05ebfc1604174dc436b",
   "evidence": {
@@ -1520,29 +1519,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001284-0000-04ca8e564e89cf61.parquet",
-      "sha256": "04ca8e564e89cf61b6a32aa2e58f12887ffd6de40ab5784829f819555eabcbdb",
-      "bytes": 191969,
-      "rows": 34,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001284-0000-0dad4aa838586a93.parquet",
-      "sha256": "0dad4aa838586a939197bc628f77321028a95aa73ed5cd5923df81bb948f6c10",
-      "bytes": 55015,
-      "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001284-0000-826e82be899a6866.parquet",
-      "sha256": "826e82be899a6866598c324fc88c904b07d649f93225017dc746c58765a42a0b",
-      "bytes": 77990,
-      "rows": 7,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.BlockTriangular.add",
     "mathlib:Matrix.BlockTriangular.sub",
@@ -1586,5 +1563,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Basic.lean\",null,null,\"Matrix.charpoly_fromBlocks_zero\u2081\u2082\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 191969,
+      "path": "data/train/p3a/mathlib-001284-0000-04ca8e564e89cf61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "04ca8e564e89cf61b6a32aa2e58f12887ffd6de40ab5784829f819555eabcbdb"
+    },
+    {
+      "bytes": 55015,
+      "path": "data/dev/p3a/mathlib-001284-0000-0dad4aa838586a93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0dad4aa838586a939197bc628f77321028a95aa73ed5cd5923df81bb948f6c10"
+    },
+    {
+      "bytes": 77990,
+      "path": "data/internal_test/p3a/mathlib-001284-0000-826e82be899a6866.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "826e82be899a6866598c324fc88c904b07d649f93225017dc746c58765a42a0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001285.json b/manifests/batches/mathlib/001285.json
index 4b340f6fc274555ca188331548a3699349b82db5..ef37e6ea16779a7690a52bff8e702834a4cf9831 100644
--- a/manifests/batches/mathlib/001285.json
+++ b/manifests/batches/mathlib/001285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001285",
   "batch_fingerprint": "b2b12a7d30e8a7699d9ea375c87c56da0f225853c191f3a4333f365e388dd3a0",
   "evidence": {
@@ -1765,22 +1764,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001285-0000-f14188539d691fd7.parquet",
-      "sha256": "f14188539d691fd76a8de4810233331dfb817fe398c52dae61c743e1a86daa4f",
-      "bytes": 110694,
-      "rows": 20,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001285-0000-9e56fe3ea0960176.parquet",
-      "sha256": "9e56fe3ea09601764ad790d10e27718617bbf315ddee8ba588794478790472cb",
-      "bytes": 84149,
-      "rows": 24,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.charmatrix_apply_natDegree_le",
     "mathlib:Matrix.charpoly_coeff_eq_prod_coeff_of_le",
@@ -1812,5 +1796,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean\",null,null,\"Matrix.pow_eq_aeval_mod_charpoly\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean\",null,null,\"Matrix.trace_eq_neg_charpoly_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Eigs.lean\",null,null,\"Matrix.det_eq_prod_roots_charpoly_of_splits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110694,
+      "path": "data/train/p4c/mathlib-001285-0000-f14188539d691fd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f14188539d691fd76a8de4810233331dfb817fe398c52dae61c743e1a86daa4f"
+    },
+    {
+      "bytes": 84149,
+      "path": "data/internal_test/p4c/mathlib-001285-0000-9e56fe3ea0960176.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9e56fe3ea09601764ad790d10e27718617bbf315ddee8ba588794478790472cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001286.json b/manifests/batches/mathlib/001286.json
index 94dcd06fb4483f39b739287ffb5dce48b73a301b..b8f4d81668927fa58f65c25a20a7691feb7974c9 100644
--- a/manifests/batches/mathlib/001286.json
+++ b/manifests/batches/mathlib/001286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001286",
   "batch_fingerprint": "3ff27e3f66e90880181d33a2678a82bb76628d8408f90e3f5e28266bcb9dc1e8",
   "evidence": {
@@ -941,15 +940,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001286-0000-c5b1a4ec3cf11fe8.parquet",
-      "sha256": "c5b1a4ec3cf11fe8e8b727853c5e6301113c2ac4b30fda44d5d4eac9232f5261",
-      "bytes": 246782,
-      "rows": 24,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.exists_monic_and_aeval_eq_zero",
     "mathlib:Matrix.Represents.algebraMap",
@@ -971,5 +962,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean\",null,null,\"Matrix.Represents.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean\",null,null,\"PiToModule.fromEnd_apply_single_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean\",null,null,\"PiToModule.fromMatrix_apply_single_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246782,
+      "path": "data/train/p12/mathlib-001286-0000-c5b1a4ec3cf11fe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c5b1a4ec3cf11fe8e8b727853c5e6301113c2ac4b30fda44d5d4eac9232f5261"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001287.json b/manifests/batches/mathlib/001287.json
index e55e8114f73ecc04a2b2de4402154d868ed10989..dfbea56a28976cc8992249600f362f4520b0739f 100644
--- a/manifests/batches/mathlib/001287.json
+++ b/manifests/batches/mathlib/001287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001287",
   "batch_fingerprint": "1b2d2056f4ae3ab81502f558de8f22743a5e4483a936fc32522fd54809be003d",
   "evidence": {
@@ -488,15 +487,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001287-0000-4d4dd7f04d3c1ff6.parquet",
-      "sha256": "4d4dd7f04d3c1ff6657a00f869906fae07a0343c7eaf0004694343fed6342559",
-      "bytes": 56492,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.charpoly.univ_coeff_eval\u2082Hom",
     "mathlib:Matrix.charpoly.univ_map_eval\u2082Hom",
@@ -506,5 +497,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Univ.lean\",null,null,\"Matrix.charpoly.univ_coeff_eval\u2082Hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Univ.lean\",null,null,\"Matrix.charpoly.univ_map_eval\u2082Hom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Charpoly/Univ.lean\",null,null,\"Matrix.charpoly.univ_map_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56492,
+      "path": "data/train/pef/mathlib-001287-0000-4d4dd7f04d3c1ff6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4d4dd7f04d3c1ff6657a00f869906fae07a0343c7eaf0004694343fed6342559"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001288.json b/manifests/batches/mathlib/001288.json
index 7f82e254a03bfa4d1dd53d3b7fa85352a4ea5d4a..e8137637cc0362446e572867dff7766be3f7f943 100644
--- a/manifests/batches/mathlib/001288.json
+++ b/manifests/batches/mathlib/001288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001288",
   "batch_fingerprint": "228f7f05f0528fce260857428367953072189f5cfb1652c88e99602fb3a22433",
   "evidence": {
@@ -3072,29 +3071,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001288-0000-e4d775a2460d5015.parquet",
-      "sha256": "e4d775a2460d5015e9f915af7f1b411962109a8d33ea80c88d2d323c8ca8e0d6",
-      "bytes": 286989,
-      "rows": 87,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001288-0000-24abfb778814571f.parquet",
-      "sha256": "24abfb778814571f2a37ef7d5db238069165889c35c38226d08222c0dd1a7b30",
-      "bytes": 53478,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001288-0000-0076b123bc97315e.parquet",
-      "sha256": "0076b123bc97315edc95967b69a06a097f7cdaeb474d1ffecb5f2f5642181bdb",
-      "bytes": 59832,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.Fin.circulant_injective",
     "mathlib:Matrix.Fin.circulant_isSymm_iff",
@@ -3198,5 +3175,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean\",null,null,\"Matrix.det_updateRow_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean\",null,null,\"Matrix.det_zero_of_column_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean\",null,null,\"RingHom.map_det\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286989,
+      "path": "data/train/p1c/mathlib-001288-0000-e4d775a2460d5015.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 87,
+      "sha256": "e4d775a2460d5015e9f915af7f1b411962109a8d33ea80c88d2d323c8ca8e0d6"
+    },
+    {
+      "bytes": 53478,
+      "path": "data/dev/p1c/mathlib-001288-0000-24abfb778814571f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "24abfb778814571f2a37ef7d5db238069165889c35c38226d08222c0dd1a7b30"
+    },
+    {
+      "bytes": 59832,
+      "path": "data/internal_test/p1c/mathlib-001288-0000-0076b123bc97315e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0076b123bc97315edc95967b69a06a097f7cdaeb474d1ffecb5f2f5642181bdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001289.json b/manifests/batches/mathlib/001289.json
index f6dd3b8176e5d7b6645dcf5c52adf5144a4137f6..9887fef21c866368235acfdda48dec6dcfc6e2ce 100644
--- a/manifests/batches/mathlib/001289.json
+++ b/manifests/batches/mathlib/001289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001289",
   "batch_fingerprint": "3c9ae14d8e65aa79fb2d4fdd086f2c06c248f281bb1db8e27192ace5c744a48b",
   "evidence": {
@@ -414,15 +413,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001289-0000-9a5d865eeec7f498.parquet",
-      "sha256": "9a5d865eeec7f498cfce7c7b91fb85953b1ebdf804d35f6caf9512c68a2c0fc9",
-      "bytes": 103874,
-      "rows": 8,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.range_diagonal",
     "mathlib:Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_det'"
@@ -430,5 +421,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Determinant/Misc.lean\",null,null,\"Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_det'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Diagonal.lean\",null,null,\"Matrix.range_diagonal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103874,
+      "path": "data/train/pa6/mathlib-001289-0000-9a5d865eeec7f498.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9a5d865eeec7f498cfce7c7b91fb85953b1ebdf804d35f6caf9512c68a2c0fc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001290.json b/manifests/batches/mathlib/001290.json
index 8e7a80b3828a647b443dee5165546f92ddd0c30a..d487073d254cd7fbcd81ac13ca16787a65c1b6bd 100644
--- a/manifests/batches/mathlib/001290.json
+++ b/manifests/batches/mathlib/001290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001290",
   "batch_fingerprint": "265c5fe4d72cda4ff8e8da1796383ad001e9f3d5adfe9a052552b5ee705a79e8",
   "evidence": {
@@ -353,22 +352,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001290-0000-33ccd220fa3223b5.parquet",
-      "sha256": "33ccd220fa3223b568c927fe6e772ec838735e37284914531e889afab8d7c6d1",
-      "bytes": 118482,
-      "rows": 11,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001290-0000-8015535f5cc4a6bf.parquet",
-      "sha256": "8015535f5cc4a6bfbe1bb11330466974bdc68ae565700672d07d1c28e79688e1",
-      "bytes": 101143,
-      "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.toMatrix_transpose",
     "mathlib:Matrix.conjTranspose_mul_self_mulVec_eq_zero",
@@ -398,5 +382,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/DotProduct.lean\",null,null,\"Matrix.vecMul_self_mul_conjTranspose_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Dual.lean\",null,null,\"LinearMap.toMatrix_transpose\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Dual.lean\",null,null,\"Matrix.toLin_transpose\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118482,
+      "path": "data/train/p0c/mathlib-001290-0000-33ccd220fa3223b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "33ccd220fa3223b568c927fe6e772ec838735e37284914531e889afab8d7c6d1"
+    },
+    {
+      "bytes": 101143,
+      "path": "data/dev/p0c/mathlib-001290-0000-8015535f5cc4a6bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8015535f5cc4a6bfbe1bb11330466974bdc68ae565700672d07d1c28e79688e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001291.json b/manifests/batches/mathlib/001291.json
index a511f7f8985cf9040424dcb574251d1bc802c9a7..4ab505dcabba16345f9342032b232eeee596ae3e 100644
--- a/manifests/batches/mathlib/001291.json
+++ b/manifests/batches/mathlib/001291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001291",
   "batch_fingerprint": "a238d2145f14101fa180118d877a0dbd69eac3ec866397129381d6c087f99b2a",
   "evidence": {
@@ -857,7 +856,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001292.json b/manifests/batches/mathlib/001292.json
index 0b2d1151f9ed546d11f5c98d0fa236e80d32a7df..ef34c217f25a6a0108a2872c7e211bf40b198a38 100644
--- a/manifests/batches/mathlib/001292.json
+++ b/manifests/batches/mathlib/001292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001292",
   "batch_fingerprint": "c373d38d2a0d3c223e19a55dbf45900f810fc483571a7896f89adb3cf488cba4",
   "evidence": {
@@ -661,15 +660,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001292-0000-7dadf08d1c5b0cdc.parquet",
-      "sha256": "7dadf08d1c5b0cdc22274847df1ce36a7ba6c505b61b419e8cfbb169fc5846c2",
-      "bytes": 72304,
-      "rows": 19,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.IsHermitian.coe_re_apply_self",
     "mathlib:Matrix.IsHermitian.ext",
@@ -699,5 +690,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Hermitian.lean\",null,null,\"Matrix.isHermitian_submatrix_equiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Hermitian.lean\",null,null,\"Matrix.isHermitian_transpose_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Hermitian.lean\",null,null,\"Matrix.isHermitian_transpose_mul_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72304,
+      "path": "data/train/pf4/mathlib-001292-0000-7dadf08d1c5b0cdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7dadf08d1c5b0cdc22274847df1ce36a7ba6c505b61b419e8cfbb169fc5846c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001293.json b/manifests/batches/mathlib/001293.json
index 30870d9766ce43d08f215c4eacced5b30e0789fb..56dc34fe2901e81c7e4fc857e9d28c11952e6e22 100644
--- a/manifests/batches/mathlib/001293.json
+++ b/manifests/batches/mathlib/001293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001293",
   "batch_fingerprint": "dabfc92c0722fe0a521f6920758b41b90f16c58b0f2575a57849f12a9c842951",
   "evidence": {
@@ -756,29 +755,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001293-0000-c3f8aed18e06aea3.parquet",
-      "sha256": "c3f8aed18e06aea3a146fa67477d92881a4d9aaf7ba5d77e7eab12f6675bd9bf",
-      "bytes": 65787,
-      "rows": 13,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001293-0000-a48bd61d4da27198.parquet",
-      "sha256": "a48bd61d4da2719877af68b36ee99895a25b7b022ac494d53b60292f41a23550",
-      "bytes": 49630,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001293-0000-088646f0e0af2e42.parquet",
-      "sha256": "088646f0e0af2e42889ac9c2fa483fc09fac29c1a9d4602dfb14fabadf5f25be",
-      "bytes": 65705,
-      "rows": 7,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LDL.lowerInv_eq_gramSchmidtBasis",
     "mathlib:LDL.lowerInv_triangular",
@@ -802,5 +779,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/LDL.lean\",null,null,\"LDL.lowerInv_eq_gramSchmidtBasis\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/LDL.lean\",null,null,\"LDL.lowerInv_triangular\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/LDL.lean\",null,null,\"LDL.lower_conj_diag\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65787,
+      "path": "data/train/pf3/mathlib-001293-0000-c3f8aed18e06aea3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c3f8aed18e06aea3a146fa67477d92881a4d9aaf7ba5d77e7eab12f6675bd9bf"
+    },
+    {
+      "bytes": 49630,
+      "path": "data/dev/pf3/mathlib-001293-0000-a48bd61d4da27198.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a48bd61d4da2719877af68b36ee99895a25b7b022ac494d53b60292f41a23550"
+    },
+    {
+      "bytes": 65705,
+      "path": "data/internal_test/pf3/mathlib-001293-0000-088646f0e0af2e42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "088646f0e0af2e42889ac9c2fa483fc09fac29c1a9d4602dfb14fabadf5f25be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001294.json b/manifests/batches/mathlib/001294.json
index d3f40b36f2b2bd0f8d39518f88a78e0ecc7758d7..15f1667fb4d02ccf2883a5dd4224583990ed02c8 100644
--- a/manifests/batches/mathlib/001294.json
+++ b/manifests/batches/mathlib/001294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001294",
   "batch_fingerprint": "fb8a0d2837d3a0b9e68bd30b34b0397c59816df702e9870f19281bee3c566d73",
   "evidence": {
@@ -286,37 +285,38 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Matrix.det_mvPolynomialX_ne_zero",
+    "mathlib:Matrix.eq_zero_of_mulVec_eq_zero",
+    "mathlib:Matrix.eq_zero_of_vecMul_eq_zero"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/MvPolynomial.lean\",null,null,\"Matrix.det_mvPolynomialX_ne_zero\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean\",null,null,\"Matrix.eq_zero_of_mulVec_eq_zero\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean\",null,null,\"Matrix.eq_zero_of_vecMul_eq_zero\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001294-0000-ab2dcab4709903af.parquet",
-      "sha256": "ab2dcab4709903af88064502ca0c8ce7a310f12cda4fae5fe927b47f74029f5d",
       "bytes": 37027,
+      "path": "data/train/pb0/mathlib-001294-0000-ab2dcab4709903af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
+      "sha256": "ab2dcab4709903af88064502ca0c8ce7a310f12cda4fae5fe927b47f74029f5d"
     },
     {
-      "path": "data/dev/mathlib-001294-0000-c2372ad74d8dc2eb.parquet",
-      "sha256": "c2372ad74d8dc2ebee2bc6f7b377a6abbe11ee63907656d678a8dcd560318658",
       "bytes": 43357,
+      "path": "data/dev/pb0/mathlib-001294-0000-c2372ad74d8dc2eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
+      "sha256": "c2372ad74d8dc2ebee2bc6f7b377a6abbe11ee63907656d678a8dcd560318658"
     },
     {
-      "path": "data/internal_test/mathlib-001294-0000-93547f0b98060ec2.parquet",
-      "sha256": "93547f0b98060ec24646017418bf7420c725ba9f62d65c0d9e41daf896e01def",
       "bytes": 64217,
+      "path": "data/internal_test/pb0/mathlib-001294-0000-93547f0b98060ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
+      "sha256": "93547f0b98060ec24646017418bf7420c725ba9f62d65c0d9e41daf896e01def"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Matrix.det_mvPolynomialX_ne_zero",
-    "mathlib:Matrix.eq_zero_of_mulVec_eq_zero",
-    "mathlib:Matrix.eq_zero_of_vecMul_eq_zero"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/MvPolynomial.lean\",null,null,\"Matrix.det_mvPolynomialX_ne_zero\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean\",null,null,\"Matrix.eq_zero_of_mulVec_eq_zero\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean\",null,null,\"Matrix.eq_zero_of_vecMul_eq_zero\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001295.json b/manifests/batches/mathlib/001295.json
index 17f4bc46305b0d1d6428f78871cc24587e0cf5b2..012163ab5b42d5c5a4aec8c5284e357404a541f1 100644
--- a/manifests/batches/mathlib/001295.json
+++ b/manifests/batches/mathlib/001295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001295",
   "batch_fingerprint": "5c0bb0eb184862c2ae6c3dc6210e4f02d8917de5505576d4b75944718094f7e0",
   "evidence": {
@@ -1904,29 +1903,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001295-0000-fc20df5a70adbb01.parquet",
-      "sha256": "fc20df5a70adbb01764bce1324444263586603e48ce3376dea9d30068a9de100",
-      "bytes": 199958,
-      "rows": 46,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001295-0000-359970abe9e1cdfa.parquet",
-      "sha256": "359970abe9e1cdfa0e534c1016e842a3f85af0259ab60ef08814e78f47cf1a6f",
-      "bytes": 55892,
-      "rows": 3,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001295-0000-5c20e306dd00ea1b.parquet",
-      "sha256": "5c20e306dd00ea1bb5c3eaa7b2389a6df9d0781b5b993dae0fd581159b06446d",
-      "bytes": 52783,
-      "rows": 6,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.coe_units_inv",
     "mathlib:Matrix.conjTranspose_nonsing_inv",
@@ -2010,5 +1987,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean\",null,null,\"Matrix.right_inv_eq_right_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean\",null,null,\"Matrix.unitOfDetInvertible_eq_nonsingInvUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean\",null,null,\"Matrix.vecMul_surjective_iff_isUnit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199958,
+      "path": "data/train/pb3/mathlib-001295-0000-fc20df5a70adbb01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "fc20df5a70adbb01764bce1324444263586603e48ce3376dea9d30068a9de100"
+    },
+    {
+      "bytes": 55892,
+      "path": "data/dev/pb3/mathlib-001295-0000-359970abe9e1cdfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "359970abe9e1cdfa0e534c1016e842a3f85af0259ab60ef08814e78f47cf1a6f"
+    },
+    {
+      "bytes": 52783,
+      "path": "data/internal_test/pb3/mathlib-001295-0000-5c20e306dd00ea1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5c20e306dd00ea1bb5c3eaa7b2389a6df9d0781b5b993dae0fd581159b06446d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001296.json b/manifests/batches/mathlib/001296.json
index 34259c8a7c3cbd9ea4b459b8e98960a1a0b1bfe2..b99b06b564cfa83727445bde08a6ce4701ab108c 100644
--- a/manifests/batches/mathlib/001296.json
+++ b/manifests/batches/mathlib/001296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001296",
   "batch_fingerprint": "42124978db2cb32f1304ff9fa517f2b7a814694bf2008ad491a943d333014317",
   "evidence": {
@@ -380,15 +379,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001296-0000-527c07866f7515b6.parquet",
-      "sha256": "527c07866f7515b6c2241137fedce0d0028ad8ac3b5030f3c37c5213e0fad9c0",
-      "bytes": 61771,
-      "rows": 10,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.det_permutation",
     "mathlib:Matrix.trace_permutation",
@@ -398,5 +389,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Permutation.lean\",null,null,\"Matrix.det_permutation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Permutation.lean\",null,null,\"Matrix.trace_permutation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Polynomial.lean\",null,null,\"Polynomial.coeff_det_X_add_C_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61771,
+      "path": "data/train/p6a/mathlib-001296-0000-527c07866f7515b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "527c07866f7515b6c2241137fedce0d0028ad8ac3b5030f3c37c5213e0fad9c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001297.json b/manifests/batches/mathlib/001297.json
index c9f1c429e944eaacbde695ef019dda6f46837a64..98bf3926831ccb82156f36ac57d26f2a92b97546 100644
--- a/manifests/batches/mathlib/001297.json
+++ b/manifests/batches/mathlib/001297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001297",
   "batch_fingerprint": "eafbc4c3ea4fbaee88e6e073e7debf9567701f659cf6c14fb0c7eba290f115f7",
   "evidence": {
@@ -1526,29 +1525,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001297-0000-ad30d5b6323387b3.parquet",
-      "sha256": "ad30d5b6323387b3c4d1b4a5d2615f127c3a7011b76f1f3564286476dbae013d",
-      "bytes": 206981,
-      "rows": 39,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001297-0000-db9e23d9d8864088.parquet",
-      "sha256": "db9e23d9d8864088e5d481fb63eca078b399d4884cd93efde848ecf8d1ac70be",
-      "bytes": 65748,
-      "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001297-0000-e6b98a965fa55c10.parquet",
-      "sha256": "e6b98a965fa55c10d146e6f25f403c106ce508b94c8006205f60a1c3c6b1af80",
-      "bytes": 73396,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.IsHermitian.posSemidef_of_eigenvalues_nonneg",
     "mathlib:Matrix.PosDef.add_posSemidef",
@@ -1598,5 +1575,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/PosDef.lean\",null,null,\"QuadraticForm.posDef_toMatrix'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Reindex.lean\",null,null,\"Matrix.reindexLinearEquiv_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Reindex.lean\",null,null,\"Matrix.reindexLinearEquiv_trans\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206981,
+      "path": "data/train/p02/mathlib-001297-0000-ad30d5b6323387b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "ad30d5b6323387b3c4d1b4a5d2615f127c3a7011b76f1f3564286476dbae013d"
+    },
+    {
+      "bytes": 65748,
+      "path": "data/dev/p02/mathlib-001297-0000-db9e23d9d8864088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "db9e23d9d8864088e5d481fb63eca078b399d4884cd93efde848ecf8d1ac70be"
+    },
+    {
+      "bytes": 73396,
+      "path": "data/internal_test/p02/mathlib-001297-0000-e6b98a965fa55c10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e6b98a965fa55c10d146e6f25f403c106ce508b94c8006205f60a1c3c6b1af80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001298.json b/manifests/batches/mathlib/001298.json
index fecb701895faed9ca60cc66cc3e18a28b7dedb05..8d5e7d65dff21e55319c16d97daca5d15c8e247d 100644
--- a/manifests/batches/mathlib/001298.json
+++ b/manifests/batches/mathlib/001298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001298",
   "batch_fingerprint": "d66d583378f18d675eec86ccf84e910ed428f306bd6f353f5b04e2ce0a28d1eb",
   "evidence": {
@@ -1985,29 +1984,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001298-0000-645d9f6e1793804d.parquet",
-      "sha256": "645d9f6e1793804d4cafd239672fe39da8bd89dcb6e24141ce8fa6dfcc2b3fed",
-      "bytes": 519618,
-      "rows": 55,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001298-0000-5fedd127689cf20b.parquet",
-      "sha256": "5fedd127689cf20be2f198717671355316911264ec25cc948ad6fe720156930d",
-      "bytes": 119915,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001298-0000-555ce93fa3fe0ca1.parquet",
-      "sha256": "555ce93fa3fe0ca104322951d7e6549ab5afa0d387e50a5d365da3227790a724",
-      "bytes": 106196,
-      "rows": 7,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.mul_toMatrix'",
     "mathlib:LinearMap.mul_toMatrix\u2082",
@@ -2101,5 +2078,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean\",null,null,\"Matrix.toMatrix\u2082Aux_toLinearMap\u2082'Aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean\",null,null,\"mem_selfAdjointMatricesSubmodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean\",null,null,\"mem_skewAdjointMatricesSubmodule\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519618,
+      "path": "data/train/p4a/mathlib-001298-0000-645d9f6e1793804d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "645d9f6e1793804d4cafd239672fe39da8bd89dcb6e24141ce8fa6dfcc2b3fed"
+    },
+    {
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+      "path": "data/dev/p4a/mathlib-001298-0000-5fedd127689cf20b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5fedd127689cf20be2f198717671355316911264ec25cc948ad6fe720156930d"
+    },
+    {
+      "bytes": 106196,
+      "path": "data/internal_test/p4a/mathlib-001298-0000-555ce93fa3fe0ca1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "555ce93fa3fe0ca104322951d7e6549ab5afa0d387e50a5d365da3227790a724"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001299.json b/manifests/batches/mathlib/001299.json
index 1d3dc7c993251196c54f33d561e7226f5da22310..6100af3f224b4e7432fcf85df647c9cba27883b1 100644
--- a/manifests/batches/mathlib/001299.json
+++ b/manifests/batches/mathlib/001299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001299",
   "batch_fingerprint": "a21a80ce86b511b18dc99b15dc6e9fcccffdf77ecd0afca8deef22df56535e21",
   "evidence": {
@@ -1663,29 +1662,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001299-0000-4ca8bffa7f65bfae.parquet",
-      "sha256": "4ca8bffa7f65bfae72b2ea9381ec33d0db5da0c265a44c8baf5e871c0703bab1",
-      "bytes": 151839,
-      "rows": 17,
-      "revision": "eb9bceb281fed42b192c26b1a968e3ced92a9265"
-    },
-    {
-      "path": "data/dev/mathlib-001299-0000-46feeef4d958ff38.parquet",
-      "sha256": "46feeef4d958ff3896c6df86ad08e1a62dbe78b427d4952f8af218d8cf277b26",
-      "bytes": 60114,
-      "rows": 3,
-      "revision": "eb9bceb281fed42b192c26b1a968e3ced92a9265"
-    },
-    {
-      "path": "data/internal_test/mathlib-001299-0000-f2a251b1cae60661.parquet",
-      "sha256": "f2a251b1cae6066130bc48cbccf84221dea01da7f6a917ee049e524627362697",
-      "bytes": 49182,
-      "rows": 1,
-      "revision": "eb9bceb281fed42b192c26b1a968e3ced92a9265"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.IsHermitian.det_eq_prod_eigenvalues",
     "mathlib:Matrix.IsHermitian.eigenvalues_eq",
@@ -1709,5 +1686,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Spectrum.lean\",null,null,\"Matrix.IsHermitian.spectral_theorem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Spectrum.lean\",null,null,\"Matrix.IsHermitian.star_eigenvectorUnitary_mulVec\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 151839,
+      "path": "data/train/p97/mathlib-001299-0000-4ca8bffa7f65bfae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4ca8bffa7f65bfae72b2ea9381ec33d0db5da0c265a44c8baf5e871c0703bab1"
+    },
+    {
+      "bytes": 60114,
+      "path": "data/dev/p97/mathlib-001299-0000-46feeef4d958ff38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "46feeef4d958ff3896c6df86ad08e1a62dbe78b427d4952f8af218d8cf277b26"
+    },
+    {
+      "bytes": 49182,
+      "path": "data/internal_test/p97/mathlib-001299-0000-f2a251b1cae60661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f2a251b1cae6066130bc48cbccf84221dea01da7f6a917ee049e524627362697"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001300.json b/manifests/batches/mathlib/001300.json
index 9967f5696594c912c42cc5bc69b9a4c7746832c8..8d38d8ddff5f8f96d40a1bc3f7fb4fc1ab816e3c 100644
--- a/manifests/batches/mathlib/001300.json
+++ b/manifests/batches/mathlib/001300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001300",
   "batch_fingerprint": "01391b2f1164bbc48a0542cf45908f9f0cc68035650e1d3a2798b3813d2a79de",
   "evidence": {
@@ -2374,29 +2373,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001300-0000-3d55898d976c4d0b.parquet",
-      "sha256": "3d55898d976c4d0bbba80c68df09fb4f6322ac058b5aeef9df8bc02162909f93",
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-      "rows": 52,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001300-0000-79e496c1b8f76c99.parquet",
-      "sha256": "79e496c1b8f76c9918ad577e9eba8d2ab433a2e078d5259172bab987f83ea62a",
-      "bytes": 64059,
-      "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001300-0000-0a7b5c78944b8304.parquet",
-      "sha256": "0a7b5c78944b83049e9cd2266297b02403dcc7570a8698a612130fa41788da05",
-      "bytes": 98127,
-      "rows": 11,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.leftMulMatrix_eq_repr_mul",
     "mathlib:Algebra.leftMulMatrix_injective",
@@ -2492,5 +2469,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/ToLin.lean\",null,null,\"Matrix.vecMulLinear_transpose\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 287964,
+      "path": "data/train/p69/mathlib-001300-0000-3d55898d976c4d0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "3d55898d976c4d0bbba80c68df09fb4f6322ac058b5aeef9df8bc02162909f93"
+    },
+    {
+      "bytes": 64059,
+      "path": "data/dev/p69/mathlib-001300-0000-79e496c1b8f76c99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "79e496c1b8f76c9918ad577e9eba8d2ab433a2e078d5259172bab987f83ea62a"
+    },
+    {
+      "bytes": 98127,
+      "path": "data/internal_test/p69/mathlib-001300-0000-0a7b5c78944b8304.parquet",
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+      "rows": 11,
+      "sha256": "0a7b5c78944b83049e9cd2266297b02403dcc7570a8698a612130fa41788da05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001301.json b/manifests/batches/mathlib/001301.json
index a33244ad6cd7fbe58598faba131803989a7b955f..634875eeb9a2068845864afe69ebe0e99aab0316 100644
--- a/manifests/batches/mathlib/001301.json
+++ b/manifests/batches/mathlib/001301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001301",
   "batch_fingerprint": "99060c58902cfa499557dae710dd8356c9055b667fdf79c53bd2ea9e35b63cf3",
   "evidence": {
@@ -1226,29 +1225,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001301-0000-c49b7ced73eac075.parquet",
-      "sha256": "c49b7ced73eac0751816135335bd8d23f17816f87fd2b41162d5e3a46819dbe5",
-      "bytes": 79279,
-      "rows": 14,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001301-0000-01697bbc57b3fa3f.parquet",
-      "sha256": "01697bbc57b3fa3ff8fcbeb3919ab29529d015ade2a4be3cba8cf001a1a24b02",
-      "bytes": 49672,
-      "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001301-0000-90799d0e02c5e91e.parquet",
-      "sha256": "90799d0e02c5e91ed8cbf086f2ce8725026611ec11ca1b2cce5fa53976cafd21",
-      "bytes": 47867,
-      "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.exists_vecMul_eq_zero_iff",
     "mathlib:Matrix.trace_blockDiagonal",
@@ -1276,5 +1253,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/Trace.lean\",null,null,\"Matrix.trace_submatrix_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79279,
+      "path": "data/train/p40/mathlib-001301-0000-c49b7ced73eac075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c49b7ced73eac0751816135335bd8d23f17816f87fd2b41162d5e3a46819dbe5"
+    },
+    {
+      "bytes": 49672,
+      "path": "data/dev/p40/mathlib-001301-0000-01697bbc57b3fa3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "01697bbc57b3fa3ff8fcbeb3919ab29529d015ade2a4be3cba8cf001a1a24b02"
+    },
+    {
+      "bytes": 47867,
+      "path": "data/internal_test/p40/mathlib-001301-0000-90799d0e02c5e91e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "90799d0e02c5e91ed8cbf086f2ce8725026611ec11ca1b2cce5fa53976cafd21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001302.json b/manifests/batches/mathlib/001302.json
index efe761597c033784618a9902db1fa266d130bde7..e666588a875da45f93c2feded83bbbc4ae2b1eb9 100644
--- a/manifests/batches/mathlib/001302.json
+++ b/manifests/batches/mathlib/001302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001302",
   "batch_fingerprint": "8a182b533aa0a039341389126b7b0744dd69c40648cd152131b0102279b7c953",
   "evidence": {
@@ -4189,22 +4188,7 @@
     "validation_rejected_proofs": 22,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001302-0000-00a78bb88c2ed43d.parquet",
-      "sha256": "00a78bb88c2ed43d0980ad096eeeac40f0319aa1338ef5797d09b5a1bb6dcecb",
-      "bytes": 162613,
-      "rows": 39,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001302-0000-5916af27623708b3.parquet",
-      "sha256": "5916af27623708b3ca469f508a9268c9a86ad912ddb9d933a2d97f67f9a4b239",
-      "bytes": 53517,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.IsSymm.zpow",
     "mathlib:Matrix.Pivot.listTransvecCol_mul_last_row",
@@ -4258,5 +4242,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/ZPow.lean\",null,null,\"Matrix.zpow_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/ZPow.lean\",null,null,\"Matrix.zpow_one_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Matrix/ZPow.lean\",null,null,\"Matrix.zpow_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162613,
+      "path": "data/train/pd6/mathlib-001302-0000-00a78bb88c2ed43d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "00a78bb88c2ed43d0980ad096eeeac40f0319aa1338ef5797d09b5a1bb6dcecb"
+    },
+    {
+      "bytes": 53517,
+      "path": "data/internal_test/pd6/mathlib-001302-0000-5916af27623708b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5916af27623708b3ca469f508a9268c9a86ad912ddb9d933a2d97f67f9a4b239"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001303.json b/manifests/batches/mathlib/001303.json
index a34e7c5dc79a132cdfc2caa0109a3359b65c66f4..8068f04849c2d57d8b82c02949212a2de60f2156 100644
--- a/manifests/batches/mathlib/001303.json
+++ b/manifests/batches/mathlib/001303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001303",
   "batch_fingerprint": "733c991fdee479585eddd5fc252c28b0962ba1157d599b856e278351420d3632",
   "evidence": {
@@ -4464,19 +4463,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001303-0000-c15acc26be4e2970.parquet",
-      "sha256": "c15acc26be4e2970676b2e2348d0bff6705f148e372f76ed6634fe8a9012bdbe",
-      "bytes": 67728,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.ext_multilinear"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Multilinear/Basis.lean\",null,null,\"Basis.ext_multilinear\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67728,
+      "path": "data/train/p2a/mathlib-001303-0000-c15acc26be4e2970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c15acc26be4e2970676b2e2348d0bff6705f148e372f76ed6634fe8a9012bdbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001304.json b/manifests/batches/mathlib/001304.json
index 8b9b7faf85990df744427ef4b928376982384f51..10aa1f89ef08e0e314d40e6fd5de0bb8d2cb3fd2 100644
--- a/manifests/batches/mathlib/001304.json
+++ b/manifests/batches/mathlib/001304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001304",
   "batch_fingerprint": "0113a3e76f28c4304d560518bf3fc190fd77157381dc6255017422ec092cbc54",
   "evidence": {
@@ -157,19 +156,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001304-0000-0906cb7badfb1c46.parquet",
-      "sha256": "0906cb7badfb1c461774cbe5f53f6205e604573104fe8c45e072656e814b1c98",
-      "bytes": 63691,
-      "rows": 5,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MultilinearMap.free_and_finite"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Multilinear/FiniteDimensional.lean\",null,null,\"MultilinearMap.free_and_finite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63691,
+      "path": "data/train/p75/mathlib-001304-0000-0906cb7badfb1c46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0906cb7badfb1c461774cbe5f53f6205e604573104fe8c45e072656e814b1c98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001305.json b/manifests/batches/mathlib/001305.json
index 660c2596203a824564367eb9c0c714193977bd7f..619c07984351480b4b7aed53ea9a46b95310d048 100644
--- a/manifests/batches/mathlib/001305.json
+++ b/manifests/batches/mathlib/001305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001305",
   "batch_fingerprint": "f70521f4f3bbeda3f610df8635941b696c9a76a02f3edd6811b9d202fd79f9dd",
   "evidence": {
@@ -1079,22 +1078,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001305-0000-86bab732f562d620.parquet",
-      "sha256": "86bab732f562d6207b28c3a0fdb4b838a79e25df64ab944f9fd4def0bcbf9b05",
-      "bytes": 107600,
-      "rows": 18,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001305-0000-1231f0fa5d4651a6.parquet",
-      "sha256": "1231f0fa5d4651a6c8944040e1a6ae7f32c6ab42da4e9ec843c8b400ed442cbc",
-      "bytes": 57822,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.abs_det_adjustToOrientation",
     "mathlib:Basis.orientation_comp_linearEquiv_eq_iff_det_pos",
@@ -1122,5 +1106,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Orientation.lean\",null,null,\"Basis.orientation_unitsSMul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Orientation.lean\",null,null,\"Orientation.map_refl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Orientation.lean\",null,null,\"Orientation.reindex_refl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107600,
+      "path": "data/train/p1d/mathlib-001305-0000-86bab732f562d620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "86bab732f562d6207b28c3a0fdb4b838a79e25df64ab944f9fd4def0bcbf9b05"
+    },
+    {
+      "bytes": 57822,
+      "path": "data/internal_test/p1d/mathlib-001305-0000-1231f0fa5d4651a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1231f0fa5d4651a6c8944040e1a6ae7f32c6ab42da4e9ec843c8b400ed442cbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001306.json b/manifests/batches/mathlib/001306.json
index 035d609c7eadfd489fe80268b91aeb69038ead5f..9aebdfda722cd6dce62ef7aedf47100222d601d1 100644
--- a/manifests/batches/mathlib/001306.json
+++ b/manifests/batches/mathlib/001306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001306",
   "batch_fingerprint": "36de930990e0147c2cb9b366fe147ac1d1d10b4dde20b72e6356b274ae8e85d2",
   "evidence": {
@@ -1135,29 +1134,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001306-0000-42f26a5779242f2c.parquet",
-      "sha256": "42f26a5779242f2c718180d86aad566a974a09a72c64078719aa6cc7adbd9b0d",
-      "bytes": 306400,
-      "rows": 40,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001306-0000-78b39e00a57af717.parquet",
-      "sha256": "78b39e00a57af71741508351d37c7fef6aef1b30f435bc437adef45a1c1e8630",
-      "bytes": 52507,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001306-0000-0c7404fe6810827b.parquet",
-      "sha256": "0c7404fe6810827b911afca146333b5f4ee104e879173cad91528ace8aa10658",
-      "bytes": 47296,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearEquiv.flip_flip",
     "mathlib:LinearEquiv.isReflexive_of_equiv_dual_of_isReflexive",
@@ -1203,5 +1180,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Pi.lean\",null,null,\"LinearMap.pi_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Pi.lean\",null,null,\"Submodule.biInf_comap_proj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Pi.lean\",null,null,\"Submodule.iInf_comap_proj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306400,
+      "path": "data/train/p17/mathlib-001306-0000-42f26a5779242f2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "42f26a5779242f2c718180d86aad566a974a09a72c64078719aa6cc7adbd9b0d"
+    },
+    {
+      "bytes": 52507,
+      "path": "data/dev/p17/mathlib-001306-0000-78b39e00a57af717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78b39e00a57af71741508351d37c7fef6aef1b30f435bc437adef45a1c1e8630"
+    },
+    {
+      "bytes": 47296,
+      "path": "data/internal_test/p17/mathlib-001306-0000-0c7404fe6810827b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0c7404fe6810827b911afca146333b5f4ee104e879173cad91528ace8aa10658"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001307.json b/manifests/batches/mathlib/001307.json
index dde9f21a30cf4584d8648a1f4b56b426bdf11f93..e25b83efc3e6fc0574c0ff1cd553e79c209e6aa0 100644
--- a/manifests/batches/mathlib/001307.json
+++ b/manifests/batches/mathlib/001307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001307",
   "batch_fingerprint": "500986b4835b4a63206980afad48ebf1d9a0274872c36368b8d9643f879e1f18",
   "evidence": {
@@ -4292,29 +4291,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001307-0000-61e3dda248cbcad0.parquet",
-      "sha256": "61e3dda248cbcad0858d92feb39ace8046b2802a5515d701e7b79d1b62791054",
-      "bytes": 304768,
-      "rows": 73,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001307-0000-57750b85a622791d.parquet",
-      "sha256": "57750b85a622791de3500e8c3e88512ad1c4850473cd510fa46f8edb02300e34",
-      "bytes": 76786,
-      "rows": 7,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001307-0000-264804a5ee5bf2cc.parquet",
-      "sha256": "264804a5ee5bf2ccae1fe9cb6b763da4507d5864d9c19d947bcace3a253d552e",
-      "bytes": 50015,
-      "rows": 3,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearEquiv.fst_comp_prodComm",
     "mathlib:LinearEquiv.snd_comp_prodComm",
@@ -4408,5 +4385,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Prod.lean\",null,null,\"Submodule.snd_map_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Prod.lean\",null,null,\"Submodule.snd_map_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Prod.lean\",null,null,\"Submodule.sup_eq_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304768,
+      "path": "data/train/p4d/mathlib-001307-0000-61e3dda248cbcad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "61e3dda248cbcad0858d92feb39ace8046b2802a5515d701e7b79d1b62791054"
+    },
+    {
+      "bytes": 76786,
+      "path": "data/dev/p4d/mathlib-001307-0000-57750b85a622791d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "57750b85a622791de3500e8c3e88512ad1c4850473cd510fa46f8edb02300e34"
+    },
+    {
+      "bytes": 50015,
+      "path": "data/internal_test/p4d/mathlib-001307-0000-264804a5ee5bf2cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "264804a5ee5bf2ccae1fe9cb6b763da4507d5864d9c19d947bcace3a253d552e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001308.json b/manifests/batches/mathlib/001308.json
index 1849c370dc1312602b23bf6429554acc7834a21d..1d3b82aaf256e9603e0cd180b140716a65b0b8eb 100644
--- a/manifests/batches/mathlib/001308.json
+++ b/manifests/batches/mathlib/001308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001308",
   "batch_fingerprint": "de0466a7eecc64980930e9469082384887c2282c0292bbd691f2a4c4210f77ae",
   "evidence": {
@@ -1347,29 +1346,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001308-0000-53090b58629e9f8f.parquet",
-      "sha256": "53090b58629e9f8f94fe50b5467b7903b44036eac80472ecbcb8d07d3d683da2",
-      "bytes": 195462,
-      "rows": 33,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/dev/mathlib-001308-0000-38decaa0daa771bd.parquet",
-      "sha256": "38decaa0daa771bd361820de9f88ebbbf652329f7552f03f72dbedb5ff6192b6",
-      "bytes": 81700,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001308-0000-83ad542ad2cc3edc.parquet",
-      "sha256": "83ad542ad2cc3edc1deb5c91e316a1f024e6787eb743e4017168d41976da956e",
-      "bytes": 73368,
-      "rows": 2,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.IsProj.codRestrict_apply_cod",
     "mathlib:LinearMap.IsProj.eq_conj_prodMap",
@@ -1409,5 +1386,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Basic.lean\",null,null,\"Projectivization.map_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Basic.lean\",null,null,\"Projectivization.map_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Basic.lean\",null,null,\"Projectivization.submodule_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195462,
+      "path": "data/train/pa6/mathlib-001308-0000-53090b58629e9f8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "53090b58629e9f8f94fe50b5467b7903b44036eac80472ecbcb8d07d3d683da2"
+    },
+    {
+      "bytes": 81700,
+      "path": "data/dev/pa6/mathlib-001308-0000-38decaa0daa771bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "38decaa0daa771bd361820de9f88ebbbf652329f7552f03f72dbedb5ff6192b6"
+    },
+    {
+      "bytes": 73368,
+      "path": "data/internal_test/pa6/mathlib-001308-0000-83ad542ad2cc3edc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "83ad542ad2cc3edc1deb5c91e316a1f024e6787eb743e4017168d41976da956e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001309.json b/manifests/batches/mathlib/001309.json
index e77bea72573bb9a059f9e9e88b0eb0a3144d2f93..15293bebac35be8f00c2ca906e83b1090d925c98 100644
--- a/manifests/batches/mathlib/001309.json
+++ b/manifests/batches/mathlib/001309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001309",
   "batch_fingerprint": "fda95ef69fd5aa7adb479218f866c135a9e1092ddb8f3d866871576fcccb7bc5",
   "evidence": {
@@ -503,22 +502,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001309-0000-eab1ad2c24894eb2.parquet",
-      "sha256": "eab1ad2c24894eb2312d52875c5a7240c5afe5b96de2fbcec1df1294c29b4b9b",
-      "bytes": 54880,
-      "rows": 8,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    },
-    {
-      "path": "data/internal_test/mathlib-001309-0000-791dbb4f3f01a275.parquet",
-      "sha256": "791dbb4f3f01a275ed7693ccea9140c199dc2edeb7f79111de89e13a866b1659",
-      "bytes": 45500,
-      "rows": 4,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Projectivization.Subspace.mem_span",
     "mathlib:Projectivization.Subspace.span_sup",
@@ -536,5 +520,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Subspace.lean\",null,null,\"Projectivization.Subspace.mem_span\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Subspace.lean\",null,null,\"Projectivization.Subspace.span_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Projectivization/Subspace.lean\",null,null,\"Projectivization.Subspace.span_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54880,
+      "path": "data/train/p9f/mathlib-001309-0000-eab1ad2c24894eb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eab1ad2c24894eb2312d52875c5a7240c5afe5b96de2fbcec1df1294c29b4b9b"
+    },
+    {
+      "bytes": 45500,
+      "path": "data/internal_test/p9f/mathlib-001309-0000-791dbb4f3f01a275.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "791dbb4f3f01a275ed7693ccea9140c199dc2edeb7f79111de89e13a866b1659"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001310.json b/manifests/batches/mathlib/001310.json
index d49a63caf84e2f988cc1a028e750ea203042404f..092ffc0cde2db28dcf1e7fe4d9be0a3802e11ff4 100644
--- a/manifests/batches/mathlib/001310.json
+++ b/manifests/batches/mathlib/001310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001310",
   "batch_fingerprint": "3046035ed20686c7041b6b0555f55ba0bb49eebcd4ce34c4e3f14097e44f2a5b",
   "evidence": {
@@ -3526,7 +3525,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001311.json b/manifests/batches/mathlib/001311.json
index b3ccd5a55cb1c06fc2e15570b4a218b29564c8da..42525b2d6b2a68b2526c0201df773b94d3c92ab9 100644
--- a/manifests/batches/mathlib/001311.json
+++ b/manifests/batches/mathlib/001311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001311",
   "batch_fingerprint": "08c9863abe923c95c81f851da838f059c76ffaa5e410dac9a2298839986a94ad",
   "evidence": {
@@ -428,7 +427,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001312.json b/manifests/batches/mathlib/001312.json
index fbb22f3e01e5b220bdf0a3707273029a1b6d2013..112833848e74805515f796cd573673ef10eeb968 100644
--- a/manifests/batches/mathlib/001312.json
+++ b/manifests/batches/mathlib/001312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001312",
   "batch_fingerprint": "777ec53dd2850f6cca3c6e4fb0bfbe4c7a72a5b8ef567b650d5a64df6452a52a",
   "evidence": {
@@ -1079,15 +1078,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001312-0000-e49d66d0e4fcc4a4.parquet",
-      "sha256": "e49d66d0e4fcc4a4378cad9c2b4b6328828b98d78a892b08c18201276a97c75b",
-      "bytes": 260197,
-      "rows": 19,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuadraticForm.Ring.associated_pi",
     "mathlib:QuadraticForm.Ring.polarBilin_pi",
@@ -1109,5 +1100,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/Prod.lean\",null,null,\"QuadraticForm.isOrtho_inr_inr_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/Prod.lean\",null,null,\"QuadraticForm.pi_apply_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/Prod.lean\",null,null,\"QuadraticForm.polar_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260197,
+      "path": "data/train/peb/mathlib-001312-0000-e49d66d0e4fcc4a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e49d66d0e4fcc4a4378cad9c2b4b6328828b98d78a892b08c18201276a97c75b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001313.json b/manifests/batches/mathlib/001313.json
index d71cbcfeae4d8d3890f37cb9b31eebe5b929428f..4c749f0f062ab158029f722c4a1427df71aa328b 100644
--- a/manifests/batches/mathlib/001313.json
+++ b/manifests/batches/mathlib/001313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001313",
   "batch_fingerprint": "1ee594cca0ac18f5b8cf528374a39a30c4caa41458f7f179cad972c24b176454",
   "evidence": {
@@ -348,19 +347,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001313-0000-eb9a5ec36742fcb0.parquet",
-      "sha256": "eb9a5ec36742fcb06a3dc52b407e1241cdfe6d7e608a528c33cd76a007f332ad",
-      "bytes": 30327,
-      "rows": 1,
-      "revision": "a848cfcfee2802644819b115173695347a23b4b1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuadraticModuleCat.Hom.toIsometry_injective"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat.lean\",null,null,\"QuadraticModuleCat.Hom.toIsometry_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 30327,
+      "path": "data/train/pcd/mathlib-001313-0000-eb9a5ec36742fcb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "eb9a5ec36742fcb06a3dc52b407e1241cdfe6d7e608a528c33cd76a007f332ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001314.json b/manifests/batches/mathlib/001314.json
index 01157093abd79d6bdd4403070cdfc2a848ddfa95..01ca05155ce104b795d7569c3a22e04259d01a9b 100644
--- a/manifests/batches/mathlib/001314.json
+++ b/manifests/batches/mathlib/001314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001314",
   "batch_fingerprint": "3afc854e7cc79b7a15615e762910504ad28c365f776ae96312c21e9268a34ca4",
   "evidence": {
@@ -84,22 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001314-0000-2825fa17c7e7b0f2.parquet",
-      "sha256": "2825fa17c7e7b0f23fc90ac92151fb15ff7480e09e4c253d0dd1172767705dd2",
-      "bytes": 128046,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001314-0000-f9c02daa7ac8248c.parquet",
-      "sha256": "f9c02daa7ac8248c243863ab2b5139a5174f5305a4125e1fc7e541b43949d43b",
-      "bytes": 394948,
-      "rows": 7,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuadraticForm.associated_baseChange",
     "mathlib:QuadraticForm.associated_tmul",
@@ -115,5 +99,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/TensorProduct.lean\",null,null,\"QuadraticForm.associated_tmul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/TensorProduct.lean\",null,null,\"QuadraticForm.polarBilin_baseChange\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/QuadraticForm/TensorProduct.lean\",null,null,\"QuadraticForm.polarBilin_tmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128046,
+      "path": "data/train/p23/mathlib-001314-0000-2825fa17c7e7b0f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2825fa17c7e7b0f23fc90ac92151fb15ff7480e09e4c253d0dd1172767705dd2"
+    },
+    {
+      "bytes": 394948,
+      "path": "data/internal_test/p23/mathlib-001314-0000-f9c02daa7ac8248c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f9c02daa7ac8248c243863ab2b5139a5174f5305a4125e1fc7e541b43949d43b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001315.json b/manifests/batches/mathlib/001315.json
index fe2781574a6fd54d1ec5fcaa0063039e901a6b51..21318932058feb35647081dbdeff30393ec37f66 100644
--- a/manifests/batches/mathlib/001315.json
+++ b/manifests/batches/mathlib/001315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001315",
   "batch_fingerprint": "df7c89c042063824bc244bf6cd34a9e4c8981f6b3e57718f27eb4933d610a916",
   "evidence": {
@@ -1325,50 +1324,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001315-0000-f9ecdaa93bf9f3d8.parquet",
-      "sha256": "f9ecdaa93bf9f3d8d3490682673a763c250408b3940710833e17fdc400f0fe5b",
-      "bytes": 290179,
-      "rows": 11,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001315-0001-9f9f8f7802134802.parquet",
-      "sha256": "9f9f8f7802134802b514171602a0b16677d7656d1e1c5d8dce0712c5a5d2858c",
-      "bytes": 198158,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001315-0002-1b45b4114563263c.parquet",
-      "sha256": "1b45b4114563263c79fd6d37edfdc5cd38a4fb012dc92b56908112ed23a0d786",
-      "bytes": 415235,
-      "rows": 11,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001315-0003-1d595ecaf7583340.parquet",
-      "sha256": "1d595ecaf7583340cb1ec8971b9f88888fe468aa87c3b26950bb9379be70e132",
-      "bytes": 273096,
-      "rows": 36,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001315-0000-bc887debefec57e9.parquet",
-      "sha256": "bc887debefec57e976c593a5820d7201b422a0c753c67bd47da29f258b6d1f11",
-      "bytes": 54522,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001315-0000-39e818e670d97059.parquet",
-      "sha256": "39e818e670d970596755db240c014d7423b53e2f4a293bddfcd7290899d26611",
-      "bytes": 56921,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.ker_le_range_iff",
     "mathlib:LinearMap.range_eq_top_of_cancel",
@@ -1428,5 +1384,49 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Quotient.lean\",null,null,\"Submodule.range_liftQ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Quotient.lean\",null,null,\"Submodule.range_mkQ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Quotient.lean\",null,null,\"Submodule.unique_quotient_iff_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290179,
+      "path": "data/train/pd3/mathlib-001315-0000-f9ecdaa93bf9f3d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f9ecdaa93bf9f3d8d3490682673a763c250408b3940710833e17fdc400f0fe5b"
+    },
+    {
+      "bytes": 198158,
+      "path": "data/train/pd3/mathlib-001315-0001-9f9f8f7802134802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9f9f8f7802134802b514171602a0b16677d7656d1e1c5d8dce0712c5a5d2858c"
+    },
+    {
+      "bytes": 415235,
+      "path": "data/train/pd3/mathlib-001315-0002-1b45b4114563263c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1b45b4114563263c79fd6d37edfdc5cd38a4fb012dc92b56908112ed23a0d786"
+    },
+    {
+      "bytes": 273096,
+      "path": "data/train/pd3/mathlib-001315-0003-1d595ecaf7583340.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "1d595ecaf7583340cb1ec8971b9f88888fe468aa87c3b26950bb9379be70e132"
+    },
+    {
+      "bytes": 54522,
+      "path": "data/dev/pd3/mathlib-001315-0000-bc887debefec57e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bc887debefec57e976c593a5820d7201b422a0c753c67bd47da29f258b6d1f11"
+    },
+    {
+      "bytes": 56921,
+      "path": "data/internal_test/pd3/mathlib-001315-0000-39e818e670d97059.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "39e818e670d970596755db240c014d7423b53e2f4a293bddfcd7290899d26611"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001316.json b/manifests/batches/mathlib/001316.json
index abcaa9bf851a2c74511797c856a244e5826939c8..8afae53d690fa6b120b9abf333f70633440da8f8 100644
--- a/manifests/batches/mathlib/001316.json
+++ b/manifests/batches/mathlib/001316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001316",
   "batch_fingerprint": "92709e3328428d9a7137f88342011998d0fbd3f2acf4b78085a6ca5be52552de",
   "evidence": {
@@ -2293,22 +2292,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001316-0000-3eec3557ed29e812.parquet",
-      "sha256": "3eec3557ed29e812a8be87adcccd00e3d8c0bf92c07dbb9ca3a10171eb588c82",
-      "bytes": 213971,
-      "rows": 43,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001316-0000-a29b49735490c9eb.parquet",
-      "sha256": "a29b49735490c9ebe392169683ce85a90626e1258b945b41d6abf023d50db21d",
-      "bytes": 50679,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Injective.sameRay_map_iff",
     "mathlib:Module.Ray.map_neg",
@@ -2358,5 +2342,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Ray.lean\",null,null,\"sameRay_of_mem_orbit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Ray.lean\",null,null,\"sameRay_smul_right_iff_of_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Ray.lean\",null,null,\"units_smul_eq_neg_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213971,
+      "path": "data/train/pc1/mathlib-001316-0000-3eec3557ed29e812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "3eec3557ed29e812a8be87adcccd00e3d8c0bf92c07dbb9ca3a10171eb588c82"
+    },
+    {
+      "bytes": 50679,
+      "path": "data/internal_test/pc1/mathlib-001316-0000-a29b49735490c9eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a29b49735490c9ebe392169683ce85a90626e1258b945b41d6abf023d50db21d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001317.json b/manifests/batches/mathlib/001317.json
index d1ab827da6ac4e6fd0b9cac04165b648474a6ce0..568ab4e1c74bcaecfaf5c61d1dd0286757dbce88 100644
--- a/manifests/batches/mathlib/001317.json
+++ b/manifests/batches/mathlib/001317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001317",
   "batch_fingerprint": "b8241bad693d9ef1fd877e2ee5ad1709fb3afa27f9beb63c87e0919cb27dfc29",
   "evidence": {
@@ -1643,29 +1642,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001317-0000-75d30649b1252b6c.parquet",
-      "sha256": "75d30649b1252b6cbbac749383f6991d246158e1398ca5da040ce2ef86832e7b",
-      "bytes": 144483,
-      "rows": 10,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001317-0000-8f39d284c923548f.parquet",
-      "sha256": "8f39d284c923548fb4c9a27bedf6b75895f48b43460d693fe4e0d3f0c2b6612f",
-      "bytes": 43078,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001317-0000-78c42a354bcd0c3d.parquet",
-      "sha256": "78c42a354bcd0c3dab8546ced34b4ad1e39fce1999567c8388ccba86833fda1e",
-      "bytes": 41835,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Module.involutive_preReflection",
     "mathlib:Module.preReflection_apply",
@@ -1681,5 +1658,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Reflection.lean\",null,null,\"Module.preReflection_preReflection\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/RootSystem/Basic.lean\",null,null,\"RootPairing.choose_choose_eq_of_mapsTo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/RootSystem/Basic.lean\",null,null,\"RootPairing.injOn_dualMap_subtype_span_root_coroot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144483,
+      "path": "data/train/p74/mathlib-001317-0000-75d30649b1252b6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "75d30649b1252b6cbbac749383f6991d246158e1398ca5da040ce2ef86832e7b"
+    },
+    {
+      "bytes": 43078,
+      "path": "data/dev/p74/mathlib-001317-0000-8f39d284c923548f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8f39d284c923548fb4c9a27bedf6b75895f48b43460d693fe4e0d3f0c2b6612f"
+    },
+    {
+      "bytes": 41835,
+      "path": "data/internal_test/p74/mathlib-001317-0000-78c42a354bcd0c3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78c42a354bcd0c3dab8546ced34b4ad1e39fce1999567c8388ccba86833fda1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001318.json b/manifests/batches/mathlib/001318.json
index e8946e1265863f4a4adab78723954e55bcaeb568..7c8c805cc4c42e7195b7135ead296920cc30aa6b 100644
--- a/manifests/batches/mathlib/001318.json
+++ b/manifests/batches/mathlib/001318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001318",
   "batch_fingerprint": "c09aee5bd2fa510d61975e51971c759c3c158c7857e2e16c0c53ce820f073445",
   "evidence": {
@@ -854,22 +853,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001318-0000-c1cbae11f29882ff.parquet",
-      "sha256": "c1cbae11f29882ff4a253ee354df9a9cdc50770225b49dbd2c90015e9116da55",
-      "bytes": 121492,
-      "rows": 24,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001318-0000-c9b6424a3dbd2d2b.parquet",
-      "sha256": "c9b6424a3dbd2d2b2670b89b76b2031f40b15233c685ee04bd2c08b84d1472d5",
-      "bytes": 53066,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RootPairing.IsOrthogonal.symm",
     "mathlib:RootPairing.coroot_eq_coreflection_of_root_eq",
@@ -907,5 +891,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SModEq.lean\",null,null,\"SModEq.smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SModEq.lean\",null,null,\"SModEq.sub_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SModEq.lean\",null,null,\"SModEq.zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121492,
+      "path": "data/train/p53/mathlib-001318-0000-c1cbae11f29882ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c1cbae11f29882ff4a253ee354df9a9cdc50770225b49dbd2c90015e9116da55"
+    },
+    {
+      "bytes": 53066,
+      "path": "data/internal_test/p53/mathlib-001318-0000-c9b6424a3dbd2d2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c9b6424a3dbd2d2b2670b89b76b2031f40b15233c685ee04bd2c08b84d1472d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001319.json b/manifests/batches/mathlib/001319.json
index 50629376941cb034969d98df8f7b38f18e1cca66..f97bd2591c110eace83dbe0abbc92801dda74798 100644
--- a/manifests/batches/mathlib/001319.json
+++ b/manifests/batches/mathlib/001319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001319",
   "batch_fingerprint": "d632568d3e2b2365c33120211bec728ca1cd16a0cbdb207df2d413a883b0d43c",
   "evidence": {
@@ -2857,29 +2856,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001319-0000-4855504f396592f5.parquet",
-      "sha256": "4855504f396592f5a4df437da4390051006931c69c8cb6baf88dcaa43464b468",
-      "bytes": 301660,
-      "rows": 47,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    },
-    {
-      "path": "data/dev/mathlib-001319-0000-56be6a38bce58d0c.parquet",
-      "sha256": "56be6a38bce58d0c3db3af7f261200f903d137be72ec13c6ac50b80cbbdc0f6d",
-      "bytes": 42719,
-      "rows": 3,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    },
-    {
-      "path": "data/internal_test/mathlib-001319-0000-b5cb4d43733632dd.parquet",
-      "sha256": "b5cb4d43733632ddcb6975a378d7554940e04c419037b5c5252b0852d12aa254",
-      "bytes": 124855,
-      "rows": 10,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.IsAdjointPair.add",
     "mathlib:LinearMap.IsAdjointPair.comp",
@@ -2935,5 +2912,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SesquilinearForm.lean\",null,null,\"LinearMap.separatingRight_iff_flip_ker_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SesquilinearForm.lean\",null,null,\"LinearMap.separatingRight_iff_linear_flip_nontrivial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/SesquilinearForm.lean\",null,null,\"LinearMap.span_singleton_sup_orthogonal_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301660,
+      "path": "data/train/p88/mathlib-001319-0000-4855504f396592f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "4855504f396592f5a4df437da4390051006931c69c8cb6baf88dcaa43464b468"
+    },
+    {
+      "bytes": 42719,
+      "path": "data/dev/p88/mathlib-001319-0000-56be6a38bce58d0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "56be6a38bce58d0c3db3af7f261200f903d137be72ec13c6ac50b80cbbdc0f6d"
+    },
+    {
+      "bytes": 124855,
+      "path": "data/internal_test/p88/mathlib-001319-0000-b5cb4d43733632dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b5cb4d43733632ddcb6975a378d7554940e04c419037b5c5252b0852d12aa254"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001320.json b/manifests/batches/mathlib/001320.json
index b1fb9870ade4d8d1596181b2e48a8d1969c782c2..15f4be20ef66f8c65c3e9155dcbaef599300ade0 100644
--- a/manifests/batches/mathlib/001320.json
+++ b/manifests/batches/mathlib/001320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001320",
   "batch_fingerprint": "66adc1311b1bb8bff82205efe6199b0002594cd49d1d92fccce1db5272ba3d00",
   "evidence": {
@@ -4684,29 +4683,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001320-0000-f17d505fa5dcd4ae.parquet",
-      "sha256": "f17d505fa5dcd4aed54acdb4bc105903623296d38e106d79326a8dcc2e760aac",
-      "bytes": 407622,
-      "rows": 90,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001320-0000-ee89226fffc488ba.parquet",
-      "sha256": "ee89226fffc488bad3df2bb3a28363630be8b8b2aaed3b252d88e3be76f3a880",
-      "bytes": 80256,
-      "rows": 13,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001320-0000-95c58abccf2b35d9.parquet",
-      "sha256": "95c58abccf2b35d940e983efef845bf64e8fa063b3fcae2688aabecbafbd53dd",
-      "bytes": 111384,
-      "rows": 25,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearEquiv.coord_self",
     "mathlib:LinearEquiv.toSpanNonzeroSingleton_apply",
@@ -4844,5 +4821,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/StdBasis.lean\",null,null,\"Module.surjective_piEquiv_apply_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/StdBasis.lean\",null,null,\"Pi.basisFun_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/StdBasis.lean\",null,null,\"Pi.basis_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407622,
+      "path": "data/train/pb0/mathlib-001320-0000-f17d505fa5dcd4ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "f17d505fa5dcd4aed54acdb4bc105903623296d38e106d79326a8dcc2e760aac"
+    },
+    {
+      "bytes": 80256,
+      "path": "data/dev/pb0/mathlib-001320-0000-ee89226fffc488ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ee89226fffc488bad3df2bb3a28363630be8b8b2aaed3b252d88e3be76f3a880"
+    },
+    {
+      "bytes": 111384,
+      "path": "data/internal_test/pb0/mathlib-001320-0000-95c58abccf2b35d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "95c58abccf2b35d940e983efef845bf64e8fa063b3fcae2688aabecbafbd53dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001321.json b/manifests/batches/mathlib/001321.json
index 22d8f9fd97e30635cbd2d719fbaa3a095900ae07..4d3de107f79f909260d38929ba3c68ade042cf6d 100644
--- a/manifests/batches/mathlib/001321.json
+++ b/manifests/batches/mathlib/001321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001321",
   "batch_fingerprint": "60a8df5b59e8a1a14d1afdfa7538aa4490e5d56888b9fbdf26582fa42ab3c55b",
   "evidence": {
@@ -630,29 +629,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001321-0000-dcd6890be465189e.parquet",
-      "sha256": "dcd6890be465189e4011c8be6a065c3307c1834caf62fb87138ec595b400c016",
-      "bytes": 128482,
-      "rows": 30,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001321-0000-ccbe276e8e7bf52b.parquet",
-      "sha256": "ccbe276e8e7bf52be8e922f26e532314b4a6e57b848e11ad8e061ab140460650",
-      "bytes": 65154,
-      "rows": 4,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001321-0000-8f38e9c5bf7cd994.parquet",
-      "sha256": "8f38e9c5bf7cd9943d39ab82859105275eac9990471c8bbd2b24120a5246eae9",
-      "bytes": 65135,
-      "rows": 14,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.J_det_mul_J_det",
     "mathlib:Matrix.J_inv",
@@ -700,5 +677,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean\",null,null,\"TensorAlgebra.\u03b9_leftInverse\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean\",null,null,\"TensorAlgebra.\u03b9_ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean\",null,null,\"TensorAlgebra.\u03b9_range_disjoint_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128482,
+      "path": "data/train/pf7/mathlib-001321-0000-dcd6890be465189e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "dcd6890be465189e4011c8be6a065c3307c1834caf62fb87138ec595b400c016"
+    },
+    {
+      "bytes": 65154,
+      "path": "data/dev/pf7/mathlib-001321-0000-ccbe276e8e7bf52b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ccbe276e8e7bf52be8e922f26e532314b4a6e57b848e11ad8e061ab140460650"
+    },
+    {
+      "bytes": 65135,
+      "path": "data/internal_test/pf7/mathlib-001321-0000-8f38e9c5bf7cd994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8f38e9c5bf7cd9943d39ab82859105275eac9990471c8bbd2b24120a5246eae9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001322.json b/manifests/batches/mathlib/001322.json
index c9e21165b47154d9d40f8d3a5e9f019c1a10ce25..d4ffe08a7cfe49f8dfcb614c9797b9de7b690a90 100644
--- a/manifests/batches/mathlib/001322.json
+++ b/manifests/batches/mathlib/001322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001322",
   "batch_fingerprint": "3347144236689833580474093b670b1a97b9367fad19be6a56506827fc9ee4dc",
   "evidence": {
@@ -71,15 +70,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001322-0000-98ce5f31e0fed9df.parquet",
-      "sha256": "98ce5f31e0fed9df021882b97e3005196aa3e6781d5d447cfa09bf2e2a94009d",
-      "bytes": 57494,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TensorAlgebra.equivFreeAlgebra_\u03b9_apply",
     "mathlib:TensorAlgebra.rank_eq"
@@ -87,5 +78,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorAlgebra/Basis.lean\",null,null,\"TensorAlgebra.equivFreeAlgebra_\u03b9_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorAlgebra/Basis.lean\",null,null,\"TensorAlgebra.rank_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57494,
+      "path": "data/train/pfc/mathlib-001322-0000-98ce5f31e0fed9df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "98ce5f31e0fed9df021882b97e3005196aa3e6781d5d447cfa09bf2e2a94009d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001323.json b/manifests/batches/mathlib/001323.json
index e3c6d261cf4df191ca34a0058685bc3e46574470..fa82fdae6e0d987dfa965c66d58c17eb943c3f38 100644
--- a/manifests/batches/mathlib/001323.json
+++ b/manifests/batches/mathlib/001323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001323",
   "batch_fingerprint": "efbc21911aa10b2c37078863050572faf8113461e8d71bc62e80c46f26ffc229",
   "evidence": {
@@ -601,43 +600,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001323-0000-53d47b46d5841ce0.parquet",
-      "sha256": "53d47b46d5841ce0ad803db311de7ccf88a89f5211cb8a18517cd3cced9650f1",
-      "bytes": 642188,
-      "rows": 40,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001323-0001-4455a6503bf7fc27.parquet",
-      "sha256": "4455a6503bf7fc273f074c00a6b5d48733fc7907fc78783c4579c087642bb174",
-      "bytes": 357191,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001323-0002-dc664f1c448457a3.parquet",
-      "sha256": "dc664f1c448457a39d0dc404c03c409b39ebcaa06b2631c92ecc43e270e6dbab",
-      "bytes": 352497,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/train/mathlib-001323-0003-824bef8b07560fd2.parquet",
-      "sha256": "824bef8b07560fd2e3c588d55f7c34a849065ea3add72427cf55c6a8ae60bfc2",
-      "bytes": 429877,
-      "rows": 10,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001323-0000-ae1046f928cb1d76.parquet",
-      "sha256": "ae1046f928cb1d76d6d1f5284caf9500e8c8fc373572554e06cea00e05179a59",
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-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PiTensorProduct.gradedMonoid_eq_of_reindex_cast",
     "mathlib:TensorAlgebra.mk_reindex_fin_cast",
@@ -671,5 +634,42 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorPower.lean\",null,null,\"TensorPower.mul_algebraMap\u2080\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorPower.lean\",null,null,\"TensorPower.tprod_mul_tprod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 642188,
+      "path": "data/train/p49/mathlib-001323-0000-53d47b46d5841ce0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "53d47b46d5841ce0ad803db311de7ccf88a89f5211cb8a18517cd3cced9650f1"
+    },
+    {
+      "bytes": 357191,
+      "path": "data/train/p49/mathlib-001323-0001-4455a6503bf7fc27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4455a6503bf7fc273f074c00a6b5d48733fc7907fc78783c4579c087642bb174"
+    },
+    {
+      "bytes": 352497,
+      "path": "data/train/p49/mathlib-001323-0002-dc664f1c448457a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc664f1c448457a39d0dc404c03c409b39ebcaa06b2631c92ecc43e270e6dbab"
+    },
+    {
+      "bytes": 429877,
+      "path": "data/train/p49/mathlib-001323-0003-824bef8b07560fd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "824bef8b07560fd2e3c588d55f7c34a849065ea3add72427cf55c6a8ae60bfc2"
+    },
+    {
+      "bytes": 54108,
+      "path": "data/internal_test/p49/mathlib-001323-0000-ae1046f928cb1d76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ae1046f928cb1d76d6d1f5284caf9500e8c8fc373572554e06cea00e05179a59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001324.json b/manifests/batches/mathlib/001324.json
index ac5c9adf1d0d32017dc5be1286518d1196b385ca..13210e8d9e4d4160d5e77a4c8df95ed19a5f9335 100644
--- a/manifests/batches/mathlib/001324.json
+++ b/manifests/batches/mathlib/001324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001324",
   "batch_fingerprint": "c34a8db23fdab5ed091f531a51e601652952685b1fbd9555f0937afc9f9cbe80",
   "evidence": {
@@ -4760,22 +4759,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001324-0000-e7c3539f82c65d14.parquet",
-      "sha256": "e7c3539f82c65d14229359cf05b2f83e219781b970a99390c28358029707f398",
-      "bytes": 47153,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001324-0000-4212861b7757e558.parquet",
-      "sha256": "4212861b7757e558a9da7d9be6f66bb5b4eef76be18d5adab030f5b590e62f4b",
-      "bytes": 51386,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.tensorProduct_apply",
     "mathlib:Basis.tensorProduct_apply'",
@@ -4785,5 +4769,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Basis.lean\",null,null,\"Basis.tensorProduct_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Basis.lean\",null,null,\"Basis.tensorProduct_apply'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Basis.lean\",null,null,\"Basis.tensorProduct_repr_tmul_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47153,
+      "path": "data/train/p23/mathlib-001324-0000-e7c3539f82c65d14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e7c3539f82c65d14229359cf05b2f83e219781b970a99390c28358029707f398"
+    },
+    {
+      "bytes": 51386,
+      "path": "data/internal_test/p23/mathlib-001324-0000-4212861b7757e558.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4212861b7757e558a9da7d9be6f66bb5b4eef76be18d5adab030f5b590e62f4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001325.json b/manifests/batches/mathlib/001325.json
index 2f4a0d527f1b1a3fb7318924d7cf3dcdb1afa22c..94aa7a360737a16ae859e55124102b32c4b11695 100644
--- a/manifests/batches/mathlib/001325.json
+++ b/manifests/batches/mathlib/001325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001325",
   "batch_fingerprint": "4b331663b4d7f251930b55545eb927b459fe5b2fa87e2459028fdf135c7599d0",
   "evidence": {
@@ -583,22 +582,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001325-0000-b288030148d8a2e4.parquet",
-      "sha256": "b288030148d8a2e4338648eee7ba9f29ce1a036dc36d54b8fe03f6d2c9d6ee31",
-      "bytes": 185041,
-      "rows": 21,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001325-0000-045221fbcef23037.parquet",
-      "sha256": "045221fbcef23037c0bd997db8a6c4cd0439ecee955b42d039322511409d8501",
-      "bytes": 68486,
-      "rows": 4,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TensorProduct.directLimitRight_symm_of_tmul",
     "mathlib:TensorProduct.directLimitRight_tmul_of",
@@ -618,5 +602,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Finiteness.lean\",null,null,\"TensorProduct.exists_finite_submodule_right_of_finite'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Finiteness.lean\",null,null,\"TensorProduct.exists_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Finiteness.lean\",null,null,\"TensorProduct.exists_finsupp_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185041,
+      "path": "data/train/p69/mathlib-001325-0000-b288030148d8a2e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b288030148d8a2e4338648eee7ba9f29ce1a036dc36d54b8fe03f6d2c9d6ee31"
+    },
+    {
+      "bytes": 68486,
+      "path": "data/internal_test/p69/mathlib-001325-0000-045221fbcef23037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "045221fbcef23037c0bd997db8a6c4cd0439ecee955b42d039322511409d8501"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001326.json b/manifests/batches/mathlib/001326.json
index b7747ad3475ad82ad5e93fe36c9dce9c11af6210..51e94beef6cd8f02cbbf862e8e765398fc3d94f6 100644
--- a/manifests/batches/mathlib/001326.json
+++ b/manifests/batches/mathlib/001326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001326",
   "batch_fingerprint": "020bd474f877016b1e78f0db0d0e0c25f369dbbadd6a26e95d6f45ca36961e00",
   "evidence": {
@@ -1632,7 +1631,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001327.json b/manifests/batches/mathlib/001327.json
index 040e09e18eda7699febe09fed2149c1f1d78041a..819c7747a586c818109e95fad02190e184fd5941 100644
--- a/manifests/batches/mathlib/001327.json
+++ b/manifests/batches/mathlib/001327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001327",
   "batch_fingerprint": "b654ed3a913acb521a1921a5f03fcd8320a6e74e00f9cc04c7a37a3345c048fb",
   "evidence": {
@@ -106,15 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001327-0000-d7a64e2525f5b802.parquet",
-      "sha256": "d7a64e2525f5b80224ab9aa56edd503e38ee987ab75402e5eacd3a8507ec3948",
-      "bytes": 174604,
-      "rows": 8,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.toLin_kronecker",
     "mathlib:TensorProduct.toMatrix_assoc",
@@ -126,5 +117,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Matrix.lean\",null,null,\"TensorProduct.toMatrix_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Matrix.lean\",null,null,\"TensorProduct.toMatrix_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Matrix.lean\",null,null,\"TensorProduct.toMatrix_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174604,
+      "path": "data/train/p1a/mathlib-001327-0000-d7a64e2525f5b802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d7a64e2525f5b80224ab9aa56edd503e38ee987ab75402e5eacd3a8507ec3948"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001328.json b/manifests/batches/mathlib/001328.json
index a12172f94563bc303a8f54ecb55a73c1093b0159..950c0aefae7201488873831eaf319fa27fe4e8db 100644
--- a/manifests/batches/mathlib/001328.json
+++ b/manifests/batches/mathlib/001328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001328",
   "batch_fingerprint": "63d1563db0c80e488a4408de32a45466b5a7be136cd882b31fe855809eb872dc",
   "evidence": {
@@ -1237,36 +1236,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001328-0000-572ef9a76d0949a8.parquet",
-      "sha256": "572ef9a76d0949a83db37f62af1990fe294ed1e80a93c2aa531f6ba21d123a8c",
-      "bytes": 581911,
-      "rows": 24,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    },
-    {
-      "path": "data/train/mathlib-001328-0001-65308ef23c137ae2.parquet",
-      "sha256": "65308ef23c137ae220ed6f2c561183a1406816dd415112a98065b4986a1b98d2",
-      "bytes": 440215,
-      "rows": 40,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    },
-    {
-      "path": "data/dev/mathlib-001328-0000-a6a68204a0760bb2.parquet",
-      "sha256": "a6a68204a0760bb26cbe863121c5fd7c85588860e11932c81c4bc3869718bb24",
-      "bytes": 107624,
-      "rows": 5,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    },
-    {
-      "path": "data/internal_test/mathlib-001328-0000-9d89920eea608431.parquet",
-      "sha256": "9d89920eea608431f85e99f6f75043f536fd0cdc9a6b9df85ae34a791422ee95",
-      "bytes": 107396,
-      "rows": 7,
-      "revision": "4de203cb1cea2b8e360cf108bd67f48a52628cfa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.TensorProduct.lTensor_ker",
     "mathlib:Algebra.TensorProduct.map_ker",
@@ -1310,5 +1280,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/RightExactness.lean\",null,null,\"rTensor.inverse_of_rightInverse_comp_rTensor\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/RightExactness.lean\",null,null,\"rTensor_exact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/RightExactness.lean\",null,null,\"rTensor_mkQ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 581911,
+      "path": "data/train/pa4/mathlib-001328-0000-572ef9a76d0949a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "572ef9a76d0949a83db37f62af1990fe294ed1e80a93c2aa531f6ba21d123a8c"
+    },
+    {
+      "bytes": 440215,
+      "path": "data/train/pa4/mathlib-001328-0001-65308ef23c137ae2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "65308ef23c137ae220ed6f2c561183a1406816dd415112a98065b4986a1b98d2"
+    },
+    {
+      "bytes": 107624,
+      "path": "data/dev/pa4/mathlib-001328-0000-a6a68204a0760bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a6a68204a0760bb26cbe863121c5fd7c85588860e11932c81c4bc3869718bb24"
+    },
+    {
+      "bytes": 107396,
+      "path": "data/internal_test/pa4/mathlib-001328-0000-9d89920eea608431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9d89920eea608431f85e99f6f75043f536fd0cdc9a6b9df85ae34a791422ee95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001329.json b/manifests/batches/mathlib/001329.json
index cd9de6327e4d3c4de8c03f084122005243f8750a..ed159ea85f0f1e05b3254c1610b1eb309f83fa74 100644
--- a/manifests/batches/mathlib/001329.json
+++ b/manifests/batches/mathlib/001329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001329",
   "batch_fingerprint": "c25e606c50ca0ffdde2f595db77d238d641cef08f83cb8bc559b81b8c713e17e",
   "evidence": {
@@ -1380,29 +1379,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001329-0000-c2e429e1de063155.parquet",
-      "sha256": "c2e429e1de063155c2a64eb4a70ea217f79d6871e230286490027c0d72c0e724",
-      "bytes": 230020,
-      "rows": 24,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001329-0000-2989c1409700b606.parquet",
-      "sha256": "2989c1409700b60685fdbe1e68bc5af94f8290d150e648bf40dd5b0277b18176",
-      "bytes": 48413,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001329-0000-fbde9e1dab433977.parquet",
-      "sha256": "fbde9e1dab43397793f96cf6b6cc2bd15862e5531efd79db36bb27d640f36ebc",
-      "bytes": 98579,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Submodule.baseChange_bot",
     "mathlib:Submodule.comm_trans_lTensorOne",
@@ -1436,5 +1413,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Tower.lean\",null,null,\"TensorProduct.AlgebraTensorModule.map_add_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/TensorProduct/Tower.lean\",null,null,\"TensorProduct.AlgebraTensorModule.map_smul_left\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 230020,
+      "path": "data/train/p08/mathlib-001329-0000-c2e429e1de063155.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c2e429e1de063155c2a64eb4a70ea217f79d6871e230286490027c0d72c0e724"
+    },
+    {
+      "bytes": 48413,
+      "path": "data/dev/p08/mathlib-001329-0000-2989c1409700b606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2989c1409700b60685fdbe1e68bc5af94f8290d150e648bf40dd5b0277b18176"
+    },
+    {
+      "bytes": 98579,
+      "path": "data/internal_test/p08/mathlib-001329-0000-fbde9e1dab433977.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fbde9e1dab43397793f96cf6b6cc2bd15862e5531efd79db36bb27d640f36ebc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001330.json b/manifests/batches/mathlib/001330.json
index e7d7e1efcada3f6d69059c0e1399f2016ff9b003..95aa99779cd87c5418df66183bbda28c413fd767 100644
--- a/manifests/batches/mathlib/001330.json
+++ b/manifests/batches/mathlib/001330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001330",
   "batch_fingerprint": "6ac4bb9bb6f470e0b9172ad7833eb2ccd9931f91c40648dd3c6138183694c4a9",
   "evidence": {
@@ -1288,22 +1287,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001330-0000-f5956820c2bf0e19.parquet",
-      "sha256": "f5956820c2bf0e195b87d45066a4533339c173d04bae461148f1005eb76aabef",
-      "bytes": 542173,
-      "rows": 55,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001330-0000-acb3bb964afa94a0.parquet",
-      "sha256": "acb3bb964afa94a08c4d012f72ae533c33cf4fe0c076bc5a09583e265ac25dc8",
-      "bytes": 44073,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.IsProj.trace",
     "mathlib:LinearMap.isNilpotent_trace_of_isNilpotent",
@@ -1349,5 +1333,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Trace.lean\",null,null,\"LinearMap.trace_prodMap'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Trace.lean\",null,null,\"LinearMap.trace_transpose\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Trace.lean\",null,null,\"LinearMap.trace_transpose'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 542173,
+      "path": "data/train/p04/mathlib-001330-0000-f5956820c2bf0e19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "f5956820c2bf0e195b87d45066a4533339c173d04bae461148f1005eb76aabef"
+    },
+    {
+      "bytes": 44073,
+      "path": "data/dev/p04/mathlib-001330-0000-acb3bb964afa94a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "acb3bb964afa94a08c4d012f72ae533c33cf4fe0c076bc5a09583e265ac25dc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001331.json b/manifests/batches/mathlib/001331.json
index 5bc0bad601ec2512cb75636a6619a68cf50bd120..006bce7d3d44e4c06a2b839c22d8222c34e5e38f 100644
--- a/manifests/batches/mathlib/001331.json
+++ b/manifests/batches/mathlib/001331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001331",
   "batch_fingerprint": "cc014070b7b4c923cdff7b21a63c4adebd8209a8313e1bf232df9e0046dad376",
   "evidence": {
@@ -925,22 +924,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001331-0000-d1bf6250c5db7664.parquet",
-      "sha256": "d1bf6250c5db766422d53861669aa42fe69e66fb4c1015d331efc64aa6052c87",
-      "bytes": 120366,
-      "rows": 31,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001331-0000-76e70f9a51a23bcb.parquet",
-      "sha256": "76e70f9a51a23bcbb208a2f9e981f0bef769f470a7f1c0fedd4d07489ba0b53e",
-      "bytes": 49488,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.UnitaryGroup.toGL_mul",
     "mathlib:Matrix.UnitaryGroup.toGL_one",
@@ -974,5 +958,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Vandermonde.lean\",null,null,\"Matrix.vandermonde_mul_vandermonde_transpose\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Vandermonde.lean\",null,null,\"Matrix.vandermonde_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/LinearAlgebra/Vandermonde.lean\",null,null,\"Matrix.vandermonde_transpose_mul_vandermonde\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120366,
+      "path": "data/train/p6d/mathlib-001331-0000-d1bf6250c5db7664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "d1bf6250c5db766422d53861669aa42fe69e66fb4c1015d331efc64aa6052c87"
+    },
+    {
+      "bytes": 49488,
+      "path": "data/internal_test/p6d/mathlib-001331-0000-76e70f9a51a23bcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "76e70f9a51a23bcbb208a2f9e981f0bef769f470a7f1c0fedd4d07489ba0b53e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001332.json b/manifests/batches/mathlib/001332.json
index e30238d3abc154f668accc74cff23830844a9332..b6e563a7a9fe9257d2de35ae3a4eb52d6b97795f 100644
--- a/manifests/batches/mathlib/001332.json
+++ b/manifests/batches/mathlib/001332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001332",
   "batch_fingerprint": "59ea3b4eeb808c7a8399c98644f7c60229a1d6a71f392a3843d4b5fbbb86ed6b",
   "evidence": {
@@ -4187,29 +4186,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001332-0000-42e056f10de4dae5.parquet",
-      "sha256": "42e056f10de4dae5b6371c468fddb3a87bf88136eaaf361c975df2eea04af3ff",
-      "bytes": 217229,
-      "rows": 86,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001332-0000-86e25845a7dd8593.parquet",
-      "sha256": "86e25845a7dd85930393cb63001597e3ec53f8acb52ecb6a96067286e4011250",
-      "bytes": 42436,
-      "rows": 6,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001332-0000-840d8c30284e8a68.parquet",
-      "sha256": "840d8c30284e8a6850b2a99ae3a68d9da63aa5e09a69b2e25c732293cb540327",
-      "bytes": 51048,
-      "rows": 9,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Decidable.and_forall_ne",
     "mathlib:Decidable.forall_or_right",
@@ -4353,5 +4330,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Denumerable.lean\",null,null,\"Nat.Subtype.le_succ_of_forall_lt_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Denumerable.lean\",null,null,\"Nat.Subtype.succ_le_of_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Denumerable.lean\",null,null,\"Nat.Subtype.toFunAux_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217229,
+      "path": "data/train/p58/mathlib-001332-0000-42e056f10de4dae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "42e056f10de4dae5b6371c468fddb3a87bf88136eaaf361c975df2eea04af3ff"
+    },
+    {
+      "bytes": 42436,
+      "path": "data/dev/p58/mathlib-001332-0000-86e25845a7dd8593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "86e25845a7dd85930393cb63001597e3ec53f8acb52ecb6a96067286e4011250"
+    },
+    {
+      "bytes": 51048,
+      "path": "data/internal_test/p58/mathlib-001332-0000-840d8c30284e8a68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "840d8c30284e8a6850b2a99ae3a68d9da63aa5e09a69b2e25c732293cb540327"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001333.json b/manifests/batches/mathlib/001333.json
index 6e9d640f575395f1cea1aa4ae7622c7e4eaf44a9..2cc399c1a55d4f90b69de79ef3964e27b78de687 100644
--- a/manifests/batches/mathlib/001333.json
+++ b/manifests/batches/mathlib/001333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001333",
   "batch_fingerprint": "01895caa3ec787d88f4b4cc01344df6f23726aecd294b925ceebb7b35802e73c",
   "evidence": {
@@ -656,15 +655,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001333-0000-8b389e80c5238e40.parquet",
-      "sha256": "8b389e80c5238e40dde40efa2f1758e7bc48ad0f674a80f1b8dc54a721220572",
-      "bytes": 50207,
-      "rows": 9,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.asEmbedding_range",
     "mathlib:Equiv.embeddingCongr_apply_trans",
@@ -680,5 +671,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Embedding/Basic.lean\",null,null,\"Function.Embedding.equiv_toEmbedding_trans_symm_toEmbedding\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Embedding/Basic.lean\",null,null,\"Function.Embedding.setValue_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Embedding/Set.lean\",null,null,\"Equiv.asEmbedding_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50207,
+      "path": "data/train/pa6/mathlib-001333-0000-8b389e80c5238e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8b389e80c5238e40dde40efa2f1758e7bc48ad0f674a80f1b8dc54a721220572"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001334.json b/manifests/batches/mathlib/001334.json
index ab97cc5ae43012b39d912ba8f5a8bd5e9bb5b178..8621f230f920f7d4a0623e8e041bd6f7cf9d3a08 100644
--- a/manifests/batches/mathlib/001334.json
+++ b/manifests/batches/mathlib/001334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001334",
   "batch_fingerprint": "75cb1410859cfcddad3eff7197075b1f22b33d925ab809db67d322e5390e1f65",
   "evidence": {
@@ -1254,22 +1253,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001334-0000-82134d3c1f53204d.parquet",
-      "sha256": "82134d3c1f53204d955614ecdf04b62856accc58250b517c1ae5dfed9e038c81",
-      "bytes": 50445,
-      "rows": 11,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001334-0000-f1d7c1e986eae7ca.parquet",
-      "sha256": "f1d7c1e986eae7ca19c58d4fd9de62d5c384126a11d211204fe30e6d6b4c11d7",
-      "bytes": 48041,
-      "rows": 4,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Directed.rel_sequence",
     "mathlib:Encodable.Subtype.encode_eq",
@@ -1293,5 +1277,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Encodable/Basic.lean\",null,null,\"Encodable.mem_decode\u2082'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Encodable/Basic.lean\",null,null,\"Encodable.surjective_decode_iget\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Encodable/Lattice.lean\",null,null,\"Encodable.iSup_decode\u2082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50445,
+      "path": "data/train/pa8/mathlib-001334-0000-82134d3c1f53204d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "82134d3c1f53204d955614ecdf04b62856accc58250b517c1ae5dfed9e038c81"
+    },
+    {
+      "bytes": 48041,
+      "path": "data/internal_test/pa8/mathlib-001334-0000-f1d7c1e986eae7ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f1d7c1e986eae7ca19c58d4fd9de62d5c384126a11d211204fe30e6d6b4c11d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001335.json b/manifests/batches/mathlib/001335.json
index a94b311db32f43bf697a8bdb302c1d7466de2b4b..035ac12d217eeccf9eee6545489866dab98d97c1 100644
--- a/manifests/batches/mathlib/001335.json
+++ b/manifests/batches/mathlib/001335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001335",
   "batch_fingerprint": "49d52e4a79437e0ebce003e3dc3e693f4caa97c702517868ac9ac87716483957",
   "evidence": {
@@ -5175,29 +5174,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001335-0000-97ed8e8a8217c9c1.parquet",
-      "sha256": "97ed8e8a8217c9c14ad0e1f06d463f768ab8ffadb2ee24a8c2e6bd6d87d78124",
-      "bytes": 260647,
-      "rows": 94,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001335-0000-04e125885b379f7b.parquet",
-      "sha256": "04e125885b379f7b8cd4e69462ba6204da5329f182b78d398e7ccd7a017a7f11",
-      "bytes": 44135,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001335-0000-94ca5a80008ea32e.parquet",
-      "sha256": "94ca5a80008ea32e35311cbf85d2c4c83a1fae7e4c11459d979cf6f776fcc85a",
-      "bytes": 46296,
-      "rows": 7,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.coe_subsingleton",
     "mathlib:Equiv.Perm.eq_of_prodExtendRight_ne",
@@ -5331,5 +5308,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Defs.lean\",null,null,\"Equiv.symm_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Defs.lean\",null,null,\"Equiv.symm_trans_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Defs.lean\",null,null,\"Equiv.trans_refl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260647,
+      "path": "data/train/pa3/mathlib-001335-0000-97ed8e8a8217c9c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "97ed8e8a8217c9c14ad0e1f06d463f768ab8ffadb2ee24a8c2e6bd6d87d78124"
+    },
+    {
+      "bytes": 44135,
+      "path": "data/dev/pa3/mathlib-001335-0000-04e125885b379f7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "04e125885b379f7b8cd4e69462ba6204da5329f182b78d398e7ccd7a017a7f11"
+    },
+    {
+      "bytes": 46296,
+      "path": "data/internal_test/pa3/mathlib-001335-0000-94ca5a80008ea32e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "94ca5a80008ea32e35311cbf85d2c4c83a1fae7e4c11459d979cf6f776fcc85a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001336.json b/manifests/batches/mathlib/001336.json
index 659c820fa7830ebe37a15715dc25f792c8f813c3..9187167cda36c67b5e4d5948635ecfe2f9c8ff32 100644
--- a/manifests/batches/mathlib/001336.json
+++ b/manifests/batches/mathlib/001336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001336",
   "batch_fingerprint": "8f66d33ca07c32099db3cba3f6a5749de3cced5ec9f9aad52621e5c43afa3e58",
   "evidence": {
@@ -933,29 +932,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001336-0000-d4691534a0bf017b.parquet",
-      "sha256": "d4691534a0bf017be1faab256ec230660faed2858b80e053218a006e60dcd588",
-      "bytes": 153400,
-      "rows": 37,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001336-0000-d5a2b02b0ca68763.parquet",
-      "sha256": "d5a2b02b0ca687634c6cb78406151444ce0008f60edaad29d2d52b8fb8e92c53",
-      "bytes": 43380,
-      "rows": 7,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001336-0000-46385a6a7c0f3b3c.parquet",
-      "sha256": "46385a6a7c0f3b3c319d6f13c84eaa2f88cd42aac54bca19077ff4d06b73ac1c",
-      "bytes": 62678,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Perm.viaFintypeEmbedding_apply_image",
     "mathlib:Equiv.Perm.viaFintypeEmbedding_apply_mem_range",
@@ -1013,5 +990,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Fintype.lean\",null,null,\"Equiv.extendSubtype_not_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Fintype.lean\",null,null,\"Function.Embedding.toEquivRange_eq_ofInjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Fintype.lean\",null,null,\"Function.Embedding.toEquivRange_symm_apply_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153400,
+      "path": "data/train/pba/mathlib-001336-0000-d4691534a0bf017b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d4691534a0bf017be1faab256ec230660faed2858b80e053218a006e60dcd588"
+    },
+    {
+      "bytes": 43380,
+      "path": "data/dev/pba/mathlib-001336-0000-d5a2b02b0ca68763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d5a2b02b0ca687634c6cb78406151444ce0008f60edaad29d2d52b8fb8e92c53"
+    },
+    {
+      "bytes": 62678,
+      "path": "data/internal_test/pba/mathlib-001336-0000-46385a6a7c0f3b3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "46385a6a7c0f3b3c319d6f13c84eaa2f88cd42aac54bca19077ff4d06b73ac1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001337.json b/manifests/batches/mathlib/001337.json
index f491195c324ec7205a341142fca6d9e236bdcd43..527872a2aabddfb873788da3e495b4f9168db3f2 100644
--- a/manifests/batches/mathlib/001337.json
+++ b/manifests/batches/mathlib/001337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001337",
   "batch_fingerprint": "07ba5f09fce2408529aef8f17fd7bce91faf598c4215547a8e909b84ce28ede0",
   "evidence": {
@@ -478,15 +477,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001337-0000-4fc009b65bd60101.parquet",
-      "sha256": "4fc009b65bd601019886bc809a2dc2de61de87d097001e819ec66e5f87000575",
-      "bytes": 70532,
-      "rows": 19,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bifunctor.mapEquiv_refl_refl",
     "mathlib:Denumerable.list_ofNat_succ",
@@ -510,5 +501,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/List.lean\",null,null,\"Denumerable.raise_lower'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/List.lean\",null,null,\"Encodable.decode_list_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/List.lean\",null,null,\"Encodable.decode_list_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70532,
+      "path": "data/train/pbf/mathlib-001337-0000-4fc009b65bd60101.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4fc009b65bd601019886bc809a2dc2de61de87d097001e819ec66e5f87000575"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001338.json b/manifests/batches/mathlib/001338.json
index 63d2c5dc291fdce12084c876138498772c740c86..6b82fdbe74a054002210a6403b62f186e1f6ed13 100644
--- a/manifests/batches/mathlib/001338.json
+++ b/manifests/batches/mathlib/001338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001338",
   "batch_fingerprint": "05494bc1143021de46882b3715b10a3a04dcbb77349348dcf62ad99ef5fa84f4",
   "evidence": {
@@ -605,22 +604,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001338-0000-8e8d2c1dc9f2dd73.parquet",
-      "sha256": "8e8d2c1dc9f2dd736cbe08b0f8fa8f1d8022aa06479c0fc2092f002bb787f16a",
-      "bytes": 53567,
-      "rows": 9,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001338-0000-a62df703ab5d008b.parquet",
-      "sha256": "a62df703ab5d008bf8abe9f1f4d464d94e266019b061a3647d7208b19f4fd083",
-      "bytes": 36890,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.natSumNatEquivNat_apply",
     "mathlib:Equiv.optionSubtypeNe_symm_of_ne",
@@ -640,5 +624,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Option.lean\",null,null,\"Equiv.removeNone_aux_none\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Option.lean\",null,null,\"Equiv.removeNone_aux_some\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/Option.lean\",null,null,\"Equiv.removeNone_optionCongr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53567,
+      "path": "data/train/p23/mathlib-001338-0000-8e8d2c1dc9f2dd73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8e8d2c1dc9f2dd736cbe08b0f8fa8f1d8022aa06479c0fc2092f002bb787f16a"
+    },
+    {
+      "bytes": 36890,
+      "path": "data/internal_test/p23/mathlib-001338-0000-a62df703ab5d008b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a62df703ab5d008bf8abe9f1f4d464d94e266019b061a3647d7208b19f4fd083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001339.json b/manifests/batches/mathlib/001339.json
index 64f329154d0eff5d70695559f56b033ca648368e..63285d4d37a0ae728eedc6d25fca3880b9770236 100644
--- a/manifests/batches/mathlib/001339.json
+++ b/manifests/batches/mathlib/001339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001339",
   "batch_fingerprint": "81b2713d2a423c503e91de9127c9ba1da1763b5ee638ebded2e4d0b6da82df35",
   "evidence": {
@@ -2412,29 +2411,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001339-0000-0ec68f7233c2d228.parquet",
-      "sha256": "0ec68f7233c2d228ee0137945d1813bed008d35d3f8dc438133a376d546f671b",
-      "bytes": 157803,
-      "rows": 45,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001339-0000-389562c6bad6e72b.parquet",
-      "sha256": "389562c6bad6e72b6b0190145e852241f4c9651e36b411e53064fa514b9ebacd",
-      "bytes": 43781,
-      "rows": 4,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001339-0000-b28898c43e86d620.parquet",
-      "sha256": "b28898c43e86d62021ee0c1ab3fe9550acb784bc91bde6a0eb0d59288ef9c95a",
-      "bytes": 36849,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.transPartialEquiv_trans",
     "mathlib:Equiv.trans_toPartialEquiv",
@@ -2514,5 +2491,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/PartialEquiv.lean\",null,null,\"PartialEquiv.trans_source''\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/PartialEquiv.lean\",null,null,\"PartialEquiv.trans_symm_eq_symm_trans_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/PartialEquiv.lean\",null,null,\"PartialEquiv.trans_transEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157803,
+      "path": "data/train/p33/mathlib-001339-0000-0ec68f7233c2d228.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "0ec68f7233c2d228ee0137945d1813bed008d35d3f8dc438133a376d546f671b"
+    },
+    {
+      "bytes": 43781,
+      "path": "data/dev/p33/mathlib-001339-0000-389562c6bad6e72b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "389562c6bad6e72b6b0190145e852241f4c9651e36b411e53064fa514b9ebacd"
+    },
+    {
+      "bytes": 36849,
+      "path": "data/internal_test/p33/mathlib-001339-0000-b28898c43e86d620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b28898c43e86d62021ee0c1ab3fe9550acb784bc91bde6a0eb0d59288ef9c95a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001340.json b/manifests/batches/mathlib/001340.json
index a39e29916d3dd0e31aabdca99935f272ee034eec..f90938bf0543ce9f502df6d46d74ed0094269e43 100644
--- a/manifests/batches/mathlib/001340.json
+++ b/manifests/batches/mathlib/001340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001340",
   "batch_fingerprint": "69be243dfc193f3cc6c6ea0b862e72d0e22ee8fb3d14c9536c4d58dd5a8c4d1e",
   "evidence": {
@@ -1652,29 +1651,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001340-0000-de2f5f2aef041c98.parquet",
-      "sha256": "de2f5f2aef041c98e5f507e75eac70dac08016205cf2d725a9b899721b801c1e",
-      "bytes": 157367,
-      "rows": 34,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001340-0000-2fc0a4969efcb632.parquet",
-      "sha256": "2fc0a4969efcb63220ca2328c3bc8aa1eac2b6123eee29c13695f43d4ed41b4f",
-      "bytes": 61290,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001340-0000-6fe0a3cd211b216e.parquet",
-      "sha256": "6fe0a3cd211b216ecaad021f5815e7e0d80713e73541649ae34341a485e8faac",
-      "bytes": 60453,
-      "rows": 6,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.Set.image_symm_preimage",
     "mathlib:Equiv.Set.sumCompl_symm_apply",
@@ -1718,5 +1695,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/TransferInstance.lean\",null,null,\"Equiv.algebraMap_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/TransferInstance.lean\",null,null,\"Equiv.ringEquiv_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Equiv/TransferInstance.lean\",null,null,\"Finite.exists_type_zero_nonempty_mulEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157367,
+      "path": "data/train/p41/mathlib-001340-0000-de2f5f2aef041c98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "de2f5f2aef041c98e5f507e75eac70dac08016205cf2d725a9b899721b801c1e"
+    },
+    {
+      "bytes": 61290,
+      "path": "data/dev/p41/mathlib-001340-0000-2fc0a4969efcb632.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2fc0a4969efcb63220ca2328c3bc8aa1eac2b6123eee29c13695f43d4ed41b4f"
+    },
+    {
+      "bytes": 60453,
+      "path": "data/internal_test/p41/mathlib-001340-0000-6fe0a3cd211b216e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6fe0a3cd211b216ecaad021f5815e7e0d80713e73541649ae34341a485e8faac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001341.json b/manifests/batches/mathlib/001341.json
index 692b62932d0d7a524502a6592d031e15566d8976..a873e833f19f39533471a19d7617093343ab652e 100644
--- a/manifests/batches/mathlib/001341.json
+++ b/manifests/batches/mathlib/001341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001341",
   "batch_fingerprint": "fea440511e50151b9ea58330fa597674219d6242c9e7e737877683bda90e2735",
   "evidence": {
@@ -3589,29 +3588,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001341-0000-649fd285e569389e.parquet",
-      "sha256": "649fd285e569389ee9c431a0459d76cd343b36c9a42995a4b73f337957ad546f",
-      "bytes": 118350,
-      "rows": 33,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001341-0000-429f288403b7677d.parquet",
-      "sha256": "429f288403b7677d8328fa41fb8410fdf175c6ce420d58eebc23ce9ba967a90d",
-      "bytes": 52072,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001341-0000-afa3d6463ba2bf33.parquet",
-      "sha256": "afa3d6463ba2bf339d6f742e43a4542ffa5390366e2caaec17000c662088bffd",
-      "bytes": 62946,
-      "rows": 11,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompTriple.comp_apply",
     "mathlib:CompTriple.comp_inv",
@@ -3675,5 +3652,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Basic.lean\",null,null,\"forall_existsUnique_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/CompTypeclasses.lean\",null,null,\"CompTriple.comp_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/CompTypeclasses.lean\",null,null,\"CompTriple.comp_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118350,
+      "path": "data/train/p74/mathlib-001341-0000-649fd285e569389e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "649fd285e569389ee9c431a0459d76cd343b36c9a42995a4b73f337957ad546f"
+    },
+    {
+      "bytes": 52072,
+      "path": "data/dev/p74/mathlib-001341-0000-429f288403b7677d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "429f288403b7677d8328fa41fb8410fdf175c6ce420d58eebc23ce9ba967a90d"
+    },
+    {
+      "bytes": 62946,
+      "path": "data/internal_test/p74/mathlib-001341-0000-afa3d6463ba2bf33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "afa3d6463ba2bf339d6f742e43a4542ffa5390366e2caaec17000c662088bffd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001342.json b/manifests/batches/mathlib/001342.json
index f057c69b3a0a3af635bf4b8cf3f74903b9a19e4d..946fd2efe311692ca1ec61c4aa15a93479fb68c5 100644
--- a/manifests/batches/mathlib/001342.json
+++ b/manifests/batches/mathlib/001342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001342",
   "batch_fingerprint": "c2b05b5e002e276d991aca534c32b33bc7ff659bc79b628a0df27fe2e3786531",
   "evidence": {
@@ -568,29 +567,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001342-0000-1c38c96b46e77147.parquet",
-      "sha256": "1c38c96b46e77147d5878e77488ae42491aa3e31e2f717a9ab96eac4106af479",
-      "bytes": 50042,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001342-0000-49837de18cf665a4.parquet",
-      "sha256": "49837de18cf665a4faf8fdeb7422c5ae9457a89a9de3833eaf62d6b97a948c24",
-      "bytes": 48331,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001342-0000-25bf30654df2c307.parquet",
-      "sha256": "25bf30654df2c307801571506411f18ea3f5a7c28279a481b178134ecb3e7e9a",
-      "bytes": 43476,
-      "rows": 1,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Semiconj.comp_right",
     "mathlib:Function.Semiconj.inverse_left",
@@ -612,5 +589,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Conjugate.lean\",null,null,\"Function.Semiconj\u2082.isAssociative_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Conjugate.lean\",null,null,\"Function.Semiconj\u2082.isIdempotent_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Conjugate.lean\",null,null,\"Function.Semiconj\u2082.isIdempotent_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50042,
+      "path": "data/train/p26/mathlib-001342-0000-1c38c96b46e77147.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1c38c96b46e77147d5878e77488ae42491aa3e31e2f717a9ab96eac4106af479"
+    },
+    {
+      "bytes": 48331,
+      "path": "data/dev/p26/mathlib-001342-0000-49837de18cf665a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "49837de18cf665a4faf8fdeb7422c5ae9457a89a9de3833eaf62d6b97a948c24"
+    },
+    {
+      "bytes": 43476,
+      "path": "data/internal_test/p26/mathlib-001342-0000-25bf30654df2c307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "25bf30654df2c307801571506411f18ea3f5a7c28279a481b178134ecb3e7e9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001343.json b/manifests/batches/mathlib/001343.json
index e3413c4a9e4d696308fa22067e3e188479b02bc2..d0fb664ff9881983d9f5f758f5b674bbb9673132 100644
--- a/manifests/batches/mathlib/001343.json
+++ b/manifests/batches/mathlib/001343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001343",
   "batch_fingerprint": "ba077cb5d6f132ecf9d76ee1e223e13e7a271b0b13922a64f1b92683bf3318c0",
   "evidence": {
@@ -845,22 +844,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001343-0000-6506459a868f45ae.parquet",
-      "sha256": "6506459a868f45aeb94803678e7dd3500b204aa48793caacbf3221e6fbe55755",
-      "bytes": 50965,
-      "rows": 15,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/dev/mathlib-001343-0000-8d4b6bf6e9718eba.parquet",
-      "sha256": "8d4b6bf6e9718ebab2410a344945eabc7299b1d7bf3dd029547263c5871e7e58",
-      "bytes": 36358,
-      "rows": 2,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Commute.iterate_eq_of_map_eq",
     "mathlib:Function.LeftInverse.iterate",
@@ -890,5 +874,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Iterate.lean\",null,null,\"Function.iterate_succ'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Iterate.lean\",null,null,\"Function.iterate_succ_apply'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Function/Iterate.lean\",null,null,\"List.foldr_const\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50965,
+      "path": "data/train/pa3/mathlib-001343-0000-6506459a868f45ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6506459a868f45aeb94803678e7dd3500b204aa48793caacbf3221e6fbe55755"
+    },
+    {
+      "bytes": 36358,
+      "path": "data/dev/pa3/mathlib-001343-0000-8d4b6bf6e9718eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8d4b6bf6e9718ebab2410a344945eabc7299b1d7bf3dd029547263c5871e7e58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001344.json b/manifests/batches/mathlib/001344.json
index 29de30f9bf4acac4b88e0742932104bc18a169b6..0e527a40071746cfcfa2d742504d30afcfbb5e56 100644
--- a/manifests/batches/mathlib/001344.json
+++ b/manifests/batches/mathlib/001344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001344",
   "batch_fingerprint": "d0c15b504a72c0c90c31ca067c4da4cd06e05298eb0c64ee6041f6e94a83083f",
   "evidence": {
@@ -1061,15 +1060,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001344-0000-f0f1e5263ff9b6b4.parquet",
-      "sha256": "f0f1e5263ff9b6b499b8d3a5d564de1071d40edc9ee9ebb9673e97820f5a9c4b",
-      "bytes": 41602,
-      "rows": 5,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Relation.cutExpand_add_left",
     "mathlib:Relation.cutExpand_add_right",
@@ -1081,5 +1072,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Hydra.lean\",null,null,\"Relation.cutExpand_add_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Hydra.lean\",null,null,\"Relation.cutExpand_double\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Hydra.lean\",null,null,\"Relation.cutExpand_singleton_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41602,
+      "path": "data/train/p48/mathlib-001344-0000-f0f1e5263ff9b6b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f0f1e5263ff9b6b499b8d3a5d564de1071d40edc9ee9ebb9673e97820f5a9c4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001345.json b/manifests/batches/mathlib/001345.json
index b89e7e131ce86378cdfceddcb6571c139774594c..8bb9ef8554d559d46811ad0be1443a91d17f4e6d 100644
--- a/manifests/batches/mathlib/001345.json
+++ b/manifests/batches/mathlib/001345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001345",
   "batch_fingerprint": "367fad493f778738a7f4ac8e454f73870c8bf266ba8d37ad30463887987dfdd9",
   "evidence": {
@@ -437,22 +436,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001345-0000-e0b29c6a6702b8c3.parquet",
-      "sha256": "e0b29c6a6702b8c329b2c7e7a1c7b8bfdd88e7f21126d4a2a683ae6d1aae7b95",
-      "bytes": 58512,
-      "rows": 17,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    },
-    {
-      "path": "data/internal_test/mathlib-001345-0000-dca0df811de72b07.parquet",
-      "sha256": "dca0df811de72b07d29bded17cd89f41c85909d7d2ad7fe60f1306a4fc4cea00",
-      "bytes": 47678,
-      "rows": 3,
-      "revision": "d298f2bda9def992a40343e44e1c6d6ce84c6519"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Prop.forall",
     "mathlib:dite_dite_distrib_left",
@@ -494,5 +478,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Lemmas.lean\",null,null,\"iff_assoc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Lemmas.lean\",null,null,\"iff_left_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Lemmas.lean\",null,null,\"iff_right_comm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58512,
+      "path": "data/train/p3d/mathlib-001345-0000-e0b29c6a6702b8c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e0b29c6a6702b8c329b2c7e7a1c7b8bfdd88e7f21126d4a2a683ae6d1aae7b95"
+    },
+    {
+      "bytes": 47678,
+      "path": "data/internal_test/p3d/mathlib-001345-0000-dca0df811de72b07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dca0df811de72b07d29bded17cd89f41c85909d7d2ad7fe60f1306a4fc4cea00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001346.json b/manifests/batches/mathlib/001346.json
index bd350e9387e717b53d40e6b9a2da460d7059399c..8b369449efb4a08dee5abcdb78311c65e311c528 100644
--- a/manifests/batches/mathlib/001346.json
+++ b/manifests/batches/mathlib/001346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001346",
   "batch_fingerprint": "0105c2be0add4649a133d59b40d793dda22758962b0fe4f7896546087ff157fd",
   "evidence": {
@@ -676,15 +675,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001346-0000-191a6c3f79d8ecad.parquet",
-      "sha256": "191a6c3f79d8ecad4e62df9a31034e140e8223f332385370a74eef86447fb12f",
-      "bytes": 56591,
-      "rows": 5,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Pi.nontrivial_at",
     "mathlib:Subtype.nontrivial_iff_exists_ne",
@@ -694,5 +685,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Basic.lean\",null,null,\"Pi.nontrivial_at\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Basic.lean\",null,null,\"Subtype.nontrivial_iff_exists_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Basic.lean\",null,null,\"exists_pair_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56591,
+      "path": "data/train/pe9/mathlib-001346-0000-191a6c3f79d8ecad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "191a6c3f79d8ecad4e62df9a31034e140e8223f332385370a74eef86447fb12f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001347.json b/manifests/batches/mathlib/001347.json
index 17c9e3fc5e362f55556f3dd5a3866678802cdd13..8bbcc13b18361e8f39856dbf219f00f734519377 100644
--- a/manifests/batches/mathlib/001347.json
+++ b/manifests/batches/mathlib/001347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001347",
   "batch_fingerprint": "1792268372ad6aad0581b4b375c3bd9c682661d7304d11d4fd4c274ea99d9771",
   "evidence": {
@@ -553,22 +552,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001347-0000-551fe9917ed024be.parquet",
-      "sha256": "551fe9917ed024be5b1841177f97388f722b932c38e4c233b40d113cb997ded1",
-      "bytes": 51912,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001347-0000-aa53ae4b2cd713c9.parquet",
-      "sha256": "aa53ae4b2cd713c98fa871173a26e05245c00e27884ebc200c723d9db4a9be5d",
-      "bytes": 41488,
-      "rows": 1,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:not_nontrivial_iff_subsingleton",
     "mathlib:not_subsingleton_iff_nontrivial",
@@ -578,5 +562,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Defs.lean\",null,null,\"not_nontrivial_iff_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Defs.lean\",null,null,\"not_subsingleton_iff_nontrivial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Nontrivial/Defs.lean\",null,null,\"subsingleton_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51912,
+      "path": "data/train/p29/mathlib-001347-0000-551fe9917ed024be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "551fe9917ed024be5b1841177f97388f722b932c38e4c233b40d113cb997ded1"
+    },
+    {
+      "bytes": 41488,
+      "path": "data/internal_test/p29/mathlib-001347-0000-aa53ae4b2cd713c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aa53ae4b2cd713c98fa871173a26e05245c00e27884ebc200c723d9db4a9be5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001348.json b/manifests/batches/mathlib/001348.json
index 50a922595eacc7fe80bd6d8d342dd9e9b4a280e0..fdff2d23d707e0fed56339af36a4148cc2b0efb6 100644
--- a/manifests/batches/mathlib/001348.json
+++ b/manifests/batches/mathlib/001348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001348",
   "batch_fingerprint": "c32d3f3068a9e061e17296d719774194608e0d898a7cece01119ab2bf8408804",
   "evidence": {
@@ -3437,29 +3436,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001348-0000-a0c432c15df576bb.parquet",
-      "sha256": "a0c432c15df576bb4f9e60e8d344f14412741446f82fdef0b83b89820d9a2bb0",
-      "bytes": 91440,
-      "rows": 27,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001348-0000-65ae7c1e65ba9738.parquet",
-      "sha256": "65ae7c1e65ba9738fd97a5868f72b69f1450217650bf53099d783f86e1fb2b74",
-      "bytes": 41923,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001348-0000-4d93ce935d5c4d46.parquet",
-      "sha256": "4d93ce935d5c4d46828352864e290a30bc296adbbbd64e1d985ebc8e2f8fc7e3",
-      "bytes": 47779,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Acc.TransGen",
     "mathlib:Acc.of_fibration",
@@ -3501,5 +3478,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Relation.lean\",null,null,\"Relation.reflTransGen_reflGen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Relation.lean\",null,null,\"Relation.reflTransGen_transGen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Relation.lean\",null,null,\"Relation.transGen_minimal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91440,
+      "path": "data/train/p01/mathlib-001348-0000-a0c432c15df576bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "a0c432c15df576bb4f9e60e8d344f14412741446f82fdef0b83b89820d9a2bb0"
+    },
+    {
+      "bytes": 41923,
+      "path": "data/dev/p01/mathlib-001348-0000-65ae7c1e65ba9738.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "65ae7c1e65ba9738fd97a5868f72b69f1450217650bf53099d783f86e1fb2b74"
+    },
+    {
+      "bytes": 47779,
+      "path": "data/internal_test/p01/mathlib-001348-0000-4d93ce935d5c4d46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d93ce935d5c4d46828352864e290a30bc296adbbbd64e1d985ebc8e2f8fc7e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001349.json b/manifests/batches/mathlib/001349.json
index 5a047959caf0e767ad09bc42602719c5b1254a3e..f57454f9f0f0d398608e313e89896926a53d304e 100644
--- a/manifests/batches/mathlib/001349.json
+++ b/manifests/batches/mathlib/001349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001349",
   "batch_fingerprint": "b25ae4fd46777f245057f407425701c3653eb45c1f161ee941de1bb74179ca01",
   "evidence": {
@@ -258,28 +257,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Shrink.ext",
+    "mathlib:not_small_type"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Defs.lean\",null,null,\"Shrink.ext\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Defs.lean\",null,null,\"not_small_type\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001349-0000-ca17dc82263f8dca.parquet",
-      "sha256": "ca17dc82263f8dca2f48569922c3a207a7dafdb971ee80b23e797ece27e2bd38",
       "bytes": 29597,
+      "path": "data/train/p8c/mathlib-001349-0000-ca17dc82263f8dca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
+      "sha256": "ca17dc82263f8dca2f48569922c3a207a7dafdb971ee80b23e797ece27e2bd38"
     },
     {
-      "path": "data/internal_test/mathlib-001349-0000-3d2a17dd4df705be.parquet",
-      "sha256": "3d2a17dd4df705be46773b51f35d21e2c9fa174adf06ff4624d29cfaf7807bb6",
       "bytes": 43727,
+      "path": "data/internal_test/p8c/mathlib-001349-0000-3d2a17dd4df705be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
+      "sha256": "3d2a17dd4df705be46773b51f35d21e2c9fa174adf06ff4624d29cfaf7807bb6"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Shrink.ext",
-    "mathlib:not_small_type"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Defs.lean\",null,null,\"Shrink.ext\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Defs.lean\",null,null,\"not_small_type\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001350.json b/manifests/batches/mathlib/001350.json
index 5659e166604bf1fe72993fa84dbaf6cb5da6e41e..62d9e8006aaa9c41bcf755a98dd12f223e60e76d 100644
--- a/manifests/batches/mathlib/001350.json
+++ b/manifests/batches/mathlib/001350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001350",
   "batch_fingerprint": "ab19637a6c1c2c2ea51ded2511716bffdfe71f3b3e7348f902d2ec462488e8b5",
   "evidence": {
@@ -84,29 +83,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001350-0000-58113f5c644384c0.parquet",
-      "sha256": "58113f5c644384c0cb684ccd4bfae44aec80202dece38c8d5daaffcf4051763b",
-      "bytes": 52844,
-      "rows": 14,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001350-0000-0333bf433686dabd.parquet",
-      "sha256": "0333bf433686dabd736eaaa23aaf21cf167333985a3eb75d1b932675ca5bcd96",
-      "bytes": 39341,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001350-0000-27963a4d74869110.parquet",
-      "sha256": "27963a4d74869110be2481635c6327d2226d05053af3f93332d984437affac14",
-      "bytes": 43497,
-      "rows": 6,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:equivShrink_add",
     "mathlib:equivShrink_div",
@@ -132,5 +109,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Group.lean\",null,null,\"equivShrink_symm_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Group.lean\",null,null,\"equivShrink_symm_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Small/Group.lean\",null,null,\"equivShrink_symm_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52844,
+      "path": "data/train/pd7/mathlib-001350-0000-58113f5c644384c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "58113f5c644384c0cb684ccd4bfae44aec80202dece38c8d5daaffcf4051763b"
+    },
+    {
+      "bytes": 39341,
+      "path": "data/dev/pd7/mathlib-001350-0000-0333bf433686dabd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0333bf433686dabd736eaaa23aaf21cf167333985a3eb75d1b932675ca5bcd96"
+    },
+    {
+      "bytes": 43497,
+      "path": "data/internal_test/pd7/mathlib-001350-0000-27963a4d74869110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "27963a4d74869110be2481635c6327d2226d05053af3f93332d984437affac14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001351.json b/manifests/batches/mathlib/001351.json
index ce16e7e498807e5e5ab387b0f7e4dd8cea0154b4..75357188c591d8c5dfacb2a70541711ef381a001 100644
--- a/manifests/batches/mathlib/001351.json
+++ b/manifests/batches/mathlib/001351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001351",
   "batch_fingerprint": "18e1c019142d21dc9e8aa43d8c2f999e56bf6d6d67ae391b36b7e7e11cc816ce",
   "evidence": {
@@ -424,22 +423,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001351-0000-527077bbaa358b54.parquet",
-      "sha256": "527077bbaa358b542dda309362ccc633b4c6f52adecbdbb9018ffcad9d6193b2",
-      "bytes": 43347,
-      "rows": 7,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001351-0000-3895ac29605f8274.parquet",
-      "sha256": "3895ac29605f8274f1fbaa83d7484362cc11a63f70142f66a8b7adc09467fe15",
-      "bytes": 38678,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Unique.bijective",
     "mathlib:Unique.forall_iff",
@@ -453,5 +437,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Unique.lean\",null,null,\"Unique.subsingleton_unique'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Unique.lean\",null,null,\"heq_const_of_unique\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Logic/Unique.lean\",null,null,\"unique_subtype_iff_exists_unique\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43347,
+      "path": "data/train/p75/mathlib-001351-0000-527077bbaa358b54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "527077bbaa358b542dda309362ccc633b4c6f52adecbdbb9018ffcad9d6193b2"
+    },
+    {
+      "bytes": 38678,
+      "path": "data/internal_test/p75/mathlib-001351-0000-3895ac29605f8274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3895ac29605f8274f1fbaa83d7484362cc11a63f70142f66a8b7adc09467fe15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001352.json b/manifests/batches/mathlib/001352.json
index 12ae1a2ea3c1bcb677b212ef9e0a95d53b6f3c89..c3dffdd7d373ae42b4687932814a1c303baae444 100644
--- a/manifests/batches/mathlib/001352.json
+++ b/manifests/batches/mathlib/001352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001352",
   "batch_fingerprint": "9cab63179b7e81c1a9a54c658804027fc14832d01fe0c58e65f3a85cf62e51bf",
   "evidence": {
@@ -1266,22 +1265,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001352-0000-6fc570c898b5ae5b.parquet",
-      "sha256": "6fc570c898b5ae5b0e5760f2e2495fe6d84fe220bd674f277631c4b228fe16ee",
-      "bytes": 80548,
-      "rows": 12,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001352-0000-9b4220c32d121c46.parquet",
-      "sha256": "9b4220c32d121c46531c7a519a72c5897c1dad7c56168d9a1c1aa69e5202d8fe",
-      "bytes": 66438,
-      "rows": 10,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Inseparable.mem_measurableSet_iff",
     "mathlib:IsCompact.closure_subset_measurableSet",
@@ -1301,5 +1285,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean\",null,null,\"measurable_of_isClosed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean\",null,null,\"measurable_of_isOpen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean\",null,null,\"opensMeasurableSpace_iff_forall_measurableSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80548,
+      "path": "data/train/p60/mathlib-001352-0000-6fc570c898b5ae5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6fc570c898b5ae5b0e5760f2e2495fe6d84fe220bd674f277631c4b228fe16ee"
+    },
+    {
+      "bytes": 66438,
+      "path": "data/internal_test/p60/mathlib-001352-0000-9b4220c32d121c46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9b4220c32d121c46531c7a519a72c5897c1dad7c56168d9a1c1aa69e5202d8fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001353.json b/manifests/batches/mathlib/001353.json
index a5ab147a4198737fa2b5f3b6c6215acb14467b0d..e06c7783c9bcfff43fbd52cd75b3af8e2c31c72e 100644
--- a/manifests/batches/mathlib/001353.json
+++ b/manifests/batches/mathlib/001353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001353",
   "batch_fingerprint": "476bc7e8e1d9e349be1b5a74d08a729db94e661d8218aae6c8e4cd6863dd7d15",
   "evidence": {
@@ -914,22 +913,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001353-0000-963b37b02ece2c90.parquet",
-      "sha256": "963b37b02ece2c9069ec5ff9995e45e4a7890e4b8b0485b9b0bd4678a035a4e8",
-      "bytes": 81787,
-      "rows": 11,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001353-0000-e26be5c8bea3c581.parquet",
-      "sha256": "e26be5c8bea3c58129951a9d81569695292a3b4364080481cb928c7a9a77875e",
-      "bytes": 55112,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:exists_borelSpace_of_countablyGenerated_of_separatesPoints",
     "mathlib:exists_opensMeasurableSpace_of_countablySeparated",
@@ -943,5 +927,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Metric.lean\",null,null,\"tendsto_measure_cthickening_of_isClosed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Metric.lean\",null,null,\"tendsto_measure_thickening\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Metric.lean\",null,null,\"tendsto_measure_thickening_of_isClosed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81787,
+      "path": "data/train/p56/mathlib-001353-0000-963b37b02ece2c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "963b37b02ece2c9069ec5ff9995e45e4a7890e4b8b0485b9b0bd4678a035a4e8"
+    },
+    {
+      "bytes": 55112,
+      "path": "data/internal_test/p56/mathlib-001353-0000-e26be5c8bea3c581.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e26be5c8bea3c58129951a9d81569695292a3b4364080481cb928c7a9a77875e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001354.json b/manifests/batches/mathlib/001354.json
index 0fe0571f645cd6dfcc7957753e2e0f737de85696..8c3c5acf31be3baecdd1030fd09f775a4c3c450f 100644
--- a/manifests/batches/mathlib/001354.json
+++ b/manifests/batches/mathlib/001354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001354",
   "batch_fingerprint": "75569c658a1d9b5da96f5bb021c37dce1ba99e684a6cafd150406b19c50b9a48",
   "evidence": {
@@ -4846,22 +4845,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001354-0000-a463e13c2503b384.parquet",
-      "sha256": "a463e13c2503b384b94a8098dcda35520cef1f920bd1e903387d0e73882532d9",
-      "bytes": 223868,
-      "rows": 42,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001354-0000-86a80b837cd96015.parquet",
-      "sha256": "86a80b837cd960156d6905dc695e8996168dedf5205487ca099e16df4069eae6",
-      "bytes": 71164,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Dense.borel_eq_generateFrom_Ico_mem",
     "mathlib:Dense.borel_eq_generateFrom_Ioc_mem",
@@ -4901,5 +4885,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean\",null,null,\"measurable_of_Ici\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean\",null,null,\"measurable_of_Iic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean\",null,null,\"measurable_sSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223868,
+      "path": "data/train/p8a/mathlib-001354-0000-a463e13c2503b384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "a463e13c2503b384b94a8098dcda35520cef1f920bd1e903387d0e73882532d9"
+    },
+    {
+      "bytes": 71164,
+      "path": "data/internal_test/p8a/mathlib-001354-0000-86a80b837cd96015.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "86a80b837cd960156d6905dc695e8996168dedf5205487ca099e16df4069eae6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001355.json b/manifests/batches/mathlib/001355.json
index 7adc143ebb20eac1bf78ac9ec6cc5b1c550330d1..aa6337c4b2206f058ad008112bde3155919bf14c 100644
--- a/manifests/batches/mathlib/001355.json
+++ b/manifests/batches/mathlib/001355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001355",
   "batch_fingerprint": "8bf8845093e6962d762ca7ded79629632bc27bbaf09f1351196927919d0840d8",
   "evidence": {
@@ -2761,22 +2760,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001355-0000-9670b9a491d53d79.parquet",
-      "sha256": "9670b9a491d53d794716e2bf39539f4e1549fa3924040b58816b1925ad6d7051",
-      "bytes": 245459,
-      "rows": 65,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001355-0000-ee8d6e5519c1ab89.parquet",
-      "sha256": "ee8d6e5519c1ab894cceaabf69135331ebe216439ccfedf813482aa30ba11415",
-      "bytes": 52838,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AEMeasurable.ennreal_tsum",
     "mathlib:AEMeasurable.nnreal_tsum",
@@ -2844,5 +2828,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Cylinders.lean\",null,null,\"MeasureTheory.union_cylinder\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Cylinders.lean\",null,null,\"MeasureTheory.union_mem_measurableCylinders\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Cylinders.lean\",null,null,\"MeasureTheory.univ_mem_measurableCylinders\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245459,
+      "path": "data/train/pf0/mathlib-001355-0000-9670b9a491d53d79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "9670b9a491d53d794716e2bf39539f4e1549fa3924040b58816b1925ad6d7051"
+    },
+    {
+      "bytes": 52838,
+      "path": "data/dev/pf0/mathlib-001355-0000-ee8d6e5519c1ab89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ee8d6e5519c1ab894cceaabf69135331ebe216439ccfedf813482aa30ba11415"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001356.json b/manifests/batches/mathlib/001356.json
index 9f54f0ac7183f77dea145605f821ac62f6d43073..4ca23f34b8c15d4a3bb3bd4a040385b7837a40cf 100644
--- a/manifests/batches/mathlib/001356.json
+++ b/manifests/batches/mathlib/001356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001356",
   "batch_fingerprint": "712c7ea64eb81e04ffca70beb8098b10a591674f38f45a11fa16c976ebc612dd",
   "evidence": {
@@ -413,22 +412,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001356-0000-77bca5979d62c001.parquet",
-      "sha256": "77bca5979d62c001c19ac0a13cf2b6e87d3c902f48a63ee5a35b43d9b96af6a5",
-      "bytes": 54312,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001356-0000-ca025fae524a6495.parquet",
-      "sha256": "ca025fae524a6495722989a49b568d772a4b541f384f8dfe20894644c65cf1a4",
-      "bytes": 63391,
-      "rows": 5,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EventuallyMeasurableSet.congr",
     "mathlib:MeasureTheory.Measure.toSphere_apply'",
@@ -442,5 +426,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/HaarToSphere.lean\",null,null,\"MeasureTheory.Measure.toSphere_apply_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/HaarToSphere.lean\",null,null,\"MeasureTheory.Measure.toSphere_apply_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/HaarToSphere.lean\",null,null,\"MeasureTheory.Measure.toSphere_apply_univ'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54312,
+      "path": "data/train/p9e/mathlib-001356-0000-77bca5979d62c001.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "77bca5979d62c001c19ac0a13cf2b6e87d3c902f48a63ee5a35b43d9b96af6a5"
+    },
+    {
+      "bytes": 63391,
+      "path": "data/internal_test/p9e/mathlib-001356-0000-ca025fae524a6495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ca025fae524a6495722989a49b568d772a4b541f384f8dfe20894644c65cf1a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001357.json b/manifests/batches/mathlib/001357.json
index 6d340b6bec9f147a01b2def6dbe49aa9693d4556..21667bd6cd2aa252a703ddbbcac1f6f16dc051fc 100644
--- a/manifests/batches/mathlib/001357.json
+++ b/manifests/batches/mathlib/001357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001357",
   "batch_fingerprint": "70abb3c973025bdfefcf293c449e51f858f4512c1015a363e083eee5e26fa791",
   "evidence": {
@@ -5843,29 +5842,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001357-0000-fe8e579a9e323ee1.parquet",
-      "sha256": "fe8e579a9e323ee12daa71cfcb2463195884db8907bc59bf3656e0a5ef7b2f85",
-      "bytes": 475024,
-      "rows": 110,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001357-0000-997ff243bd3d8f82.parquet",
-      "sha256": "997ff243bd3d8f82f627756a0db53b44203bbfbc8deeb3ce38c615742faa87d5",
-      "bytes": 56119,
-      "rows": 1,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001357-0000-81e2895a448fa8c3.parquet",
-      "sha256": "81e2895a448fa8c34fd8c8137eb8df63de68e29e8842a0d537ea5e93dbf08de1",
-      "bytes": 83430,
-      "rows": 19,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.map_borel_eq",
     "mathlib:Continuous.map_eq_borel",
@@ -5959,5 +5936,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Polish.lean\",null,null,\"MeasureTheory.exists_nat_measurableEquiv_range_coe_fin_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Polish.lean\",null,null,\"MeasureTheory.measurableEquiv_range_coe_nat_of_infinite_of_countable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Polish.lean\",null,null,\"MeasureTheory.measurableSet_tendsto_fun\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 475024,
+      "path": "data/train/p94/mathlib-001357-0000-fe8e579a9e323ee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 110,
+      "sha256": "fe8e579a9e323ee12daa71cfcb2463195884db8907bc59bf3656e0a5ef7b2f85"
+    },
+    {
+      "bytes": 56119,
+      "path": "data/dev/p94/mathlib-001357-0000-997ff243bd3d8f82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "997ff243bd3d8f82f627756a0db53b44203bbfbc8deeb3ce38c615742faa87d5"
+    },
+    {
+      "bytes": 83430,
+      "path": "data/internal_test/p94/mathlib-001357-0000-81e2895a448fa8c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "81e2895a448fa8c34fd8c8137eb8df63de68e29e8842a0d537ea5e93dbf08de1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001358.json b/manifests/batches/mathlib/001358.json
index d21cc12eb616d5af3f5afb60df682cb82e141481..23510c6524004b44131a3e7806c7715a7c73f6b5 100644
--- a/manifests/batches/mathlib/001358.json
+++ b/manifests/batches/mathlib/001358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001358",
   "batch_fingerprint": "3815f5c6e5ec12060590c3f616c661689a2c5e8039d15681894f3f6647262c6e",
   "evidence": {
@@ -4554,29 +4553,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001358-0000-6158a8c107bcd5dd.parquet",
-      "sha256": "6158a8c107bcd5ddf00bee17f780acc62010bfa76f5f266b3feb850b1fb60aea",
-      "bytes": 473703,
-      "rows": 123,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001358-0000-c37ef072b0b1a994.parquet",
-      "sha256": "c37ef072b0b1a9948ce805db72a742b5493820bdec53a29eae98cda69cb38860",
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-      "rows": 8,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001358-0000-7ea1aef43befe752.parquet",
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-      "rows": 14,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AEMeasurable.prod_swap",
     "mathlib:IsCountablySpanning.prod",
@@ -4698,5 +4675,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Prod/Integral.lean\",null,null,\"MeasureTheory.setIntegral_prod\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Constructions/Prod/Integral.lean\",null,null,\"measurableSet_integrable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473703,
+      "path": "data/train/pef/mathlib-001358-0000-6158a8c107bcd5dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 123,
+      "sha256": "6158a8c107bcd5ddf00bee17f780acc62010bfa76f5f266b3feb850b1fb60aea"
+    },
+    {
+      "bytes": 86469,
+      "path": "data/dev/pef/mathlib-001358-0000-c37ef072b0b1a994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c37ef072b0b1a9948ce805db72a742b5493820bdec53a29eae98cda69cb38860"
+    },
+    {
+      "bytes": 83661,
+      "path": "data/internal_test/pef/mathlib-001358-0000-7ea1aef43befe752.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7ea1aef43befe752c6ea00811eb593e1ae5f0caead93b3ec805fd5d459df41a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001359.json b/manifests/batches/mathlib/001359.json
index 127e3d04f390f48573d8e3cf8bd880adce29aee6..917c57207959f076144f6122c5f6b8bf6602bbb4 100644
--- a/manifests/batches/mathlib/001359.json
+++ b/manifests/batches/mathlib/001359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001359",
   "batch_fingerprint": "0fb01706090a1116c35347acf944da6b07ed8a6f6c50827266ed0cb15549d75d",
   "evidence": {
@@ -424,22 +423,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001359-0000-7367df361d1f59e3.parquet",
-      "sha256": "7367df361d1f59e3d81953eb36655511ec3675895c08bc65f15ec8445e3a5769",
-      "bytes": 73997,
-      "rows": 13,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001359-0000-2a7439c10669ef59.parquet",
-      "sha256": "2a7439c10669ef59f50dafcc4dc76e7c6fc27ba16036d77f19e268fbe8bfdaf9",
-      "bytes": 44773,
-      "rows": 1,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.IsProjectiveLimit.isFiniteMeasure",
     "mathlib:MeasureTheory.IsProjectiveLimit.isProbabilityMeasure",
@@ -455,5 +439,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 73997,
+      "path": "data/train/p13/mathlib-001359-0000-7367df361d1f59e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7367df361d1f59e3d81953eb36655511ec3675895c08bc65f15ec8445e3a5769"
+    },
+    {
+      "bytes": 44773,
+      "path": "data/internal_test/p13/mathlib-001359-0000-2a7439c10669ef59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2a7439c10669ef59f50dafcc4dc76e7c6fc27ba16036d77f19e268fbe8bfdaf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001360.json b/manifests/batches/mathlib/001360.json
index 77105f42d77626053d08c3d6c9fd0a7ecdb965a0..879fa8a85990f64a5b921f40df1aec790959680f 100644
--- a/manifests/batches/mathlib/001360.json
+++ b/manifests/batches/mathlib/001360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001360",
   "batch_fingerprint": "65aa64d7263abdc1754400f95d282b4a74dd9c0a71b975d6d28def95c38e3491",
   "evidence": {
@@ -6681,15 +6680,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001360-0000-8c3574c222a71df7.parquet",
-      "sha256": "8c3574c222a71df779c65e58f5926bf341f93a9e32d9ab618fda14c94742448c",
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-      "rows": 20,
-      "revision": "3aeadfe44b1c3e397c8269d92d3e60e423fb8058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Besicovitch.SatelliteConfig.centerAndRescale_center",
     "mathlib:Besicovitch.SatelliteConfig.centerAndRescale_radius",
@@ -6711,5 +6702,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 105266,
+      "path": "data/train/p05/mathlib-001360-0000-8c3574c222a71df7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8c3574c222a71df779c65e58f5926bf341f93a9e32d9ab618fda14c94742448c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001361.json b/manifests/batches/mathlib/001361.json
index 1d3188daa42c1c0341152395c4a75b52bc1aa94a..eb42ad4434073e4d28c55024260c5024de4ba84b 100644
--- a/manifests/batches/mathlib/001361.json
+++ b/manifests/batches/mathlib/001361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001361",
   "batch_fingerprint": "710379be37ab76c818beb98e3bfa14a2e1ebb1b385be54d7598b8d89ea05d8ef",
   "evidence": {
@@ -4479,22 +4478,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001361-0000-30a71442695166f4.parquet",
-      "sha256": "30a71442695166f4ab871b490e76fff9b23f455edb42e21c76e5be8704573dd6",
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-      "rows": 32,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
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-    {
-      "path": "data/internal_test/mathlib-001361-0000-c94db9c8f5cb86d3.parquet",
-      "sha256": "c94db9c8f5cb86d33b8f5a5f5ccfa92c0d036baf3418a45448b77cd277b7e93f",
-      "bytes": 74019,
-      "rows": 6,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUnifLocDoublingMeasure.ae_tendsto_average",
     "mathlib:IsUnifLocDoublingMeasure.ae_tendsto_average_norm_sub",
@@ -4520,5 +4504,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 130484,
+      "path": "data/train/pd2/mathlib-001361-0000-30a71442695166f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "30a71442695166f4ab871b490e76fff9b23f455edb42e21c76e5be8704573dd6"
+    },
+    {
+      "bytes": 74019,
+      "path": "data/internal_test/pd2/mathlib-001361-0000-c94db9c8f5cb86d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c94db9c8f5cb86d33b8f5a5f5ccfa92c0d036baf3418a45448b77cd277b7e93f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001362.json b/manifests/batches/mathlib/001362.json
index 0a3a5b971837d9d6f1ce874b1b36695c1434a95c..9c799b2f8dad97f0f8803a9c3f9759638eb5c2f4 100644
--- a/manifests/batches/mathlib/001362.json
+++ b/manifests/batches/mathlib/001362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001362",
   "batch_fingerprint": "7d1f2e48a2321014dcdc9d597dc0a2669618ff69a58bbf8baf53578088763d12",
   "evidence": {
@@ -1828,7 +1827,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001363.json b/manifests/batches/mathlib/001363.json
index 736fe32f48fcf7a13ed576595ba8e9b7933bd801..f0ff0b33de66e450badb52ad852c055287e916f8 100644
--- a/manifests/batches/mathlib/001363.json
+++ b/manifests/batches/mathlib/001363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001363",
   "batch_fingerprint": "bac0412eb4ef8b43b693d13fe6374c0912fecfac0d900a7170999713e46cab64",
   "evidence": {
@@ -2123,15 +2122,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
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-  "shards": [
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-      "rows": 8,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.HasBasis.vitaliFamily",
     "mathlib:VitaliFamily.eventually_filterAt_measurableSet",
@@ -2147,5 +2138,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 68933,
+      "path": "data/train/p6e/mathlib-001363-0000-f9712a0c61702dfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f9712a0c61702dfe3ba87b75e6347e7eb00c5e099f3ed53228091c41aa3e0284"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001364.json b/manifests/batches/mathlib/001364.json
index 8231c2567e6b4a5ccb12f078987fa6b537a7cb83..f6e7d2d3d02bde9f6f0e7edcc656543f269e77df 100644
--- a/manifests/batches/mathlib/001364.json
+++ b/manifests/batches/mathlib/001364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001364",
   "batch_fingerprint": "5af0428b0d28dd0c967c82d9edb61946576b68effe3180ec9cd2ab8e8b50e92f",
   "evidence": {
@@ -5563,29 +5562,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
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-      "sha256": "74129063ffb2e7459ae6cb1778a136fd053af68ba42e35eb2cb2c51ca1fe18c5",
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-      "rows": 78,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001364-0000-a60a1fbd41ee009c.parquet",
-      "sha256": "a60a1fbd41ee009c874f719ab90fa6d60b241e32499e14cfc38d49b5f2cfa409",
-      "bytes": 72429,
-      "rows": 7,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001364-0000-4213c7e73c80666a.parquet",
-      "sha256": "4213c7e73c80666aea122195c9bfacaa0dd14f426051a3edb628ece863dceb66",
-      "bytes": 68444,
-      "rows": 8,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.JordanDecomposition.coe_smul",
     "mathlib:MeasureTheory.JordanDecomposition.real_smul_negPart_neg",
@@ -5673,5 +5650,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 273098,
+      "path": "data/train/p5a/mathlib-001364-0000-74129063ffb2e745.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "74129063ffb2e7459ae6cb1778a136fd053af68ba42e35eb2cb2c51ca1fe18c5"
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+    {
+      "bytes": 72429,
+      "path": "data/dev/p5a/mathlib-001364-0000-a60a1fbd41ee009c.parquet",
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+      "rows": 7,
+      "sha256": "a60a1fbd41ee009c874f719ab90fa6d60b241e32499e14cfc38d49b5f2cfa409"
+    },
+    {
+      "bytes": 68444,
+      "path": "data/internal_test/p5a/mathlib-001364-0000-4213c7e73c80666a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4213c7e73c80666aea122195c9bfacaa0dd14f426051a3edb628ece863dceb66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001365.json b/manifests/batches/mathlib/001365.json
index a33a267f2f2d83802aaeb08c49a4b7226533d9c6..20b8bced8990384779b06eb0f65ce1c242cfb058 100644
--- a/manifests/batches/mathlib/001365.json
+++ b/manifests/batches/mathlib/001365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001365",
   "batch_fingerprint": "37f8b2f4df2b233fe66449f23d705c54473dcb4ea62edde55bcf113b2de46539",
   "evidence": {
@@ -4135,29 +4134,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001365-0000-ee53659a8369f0b6.parquet",
-      "sha256": "ee53659a8369f0b67397731bea9d2525301c802beae378f7e433ad68c8552c33",
-      "bytes": 209879,
-      "rows": 50,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001365-0000-8cafc2dc57fc5c52.parquet",
-      "sha256": "8cafc2dc57fc5c527f6d6b0f1695263cec6b6e27110a8982dfd3d5178625ec66",
-      "bytes": 72774,
-      "rows": 10,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001365-0000-e92ca2afdef41a95.parquet",
-      "sha256": "e92ca2afdef41a95d9b61a76d43011df8970b52482ee1a197beb7dae37306bae",
-      "bytes": 59130,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableEmbedding.map_withDensity_rnDeriv",
     "mathlib:MeasureTheory.Measure.integrableOn_toReal_rnDeriv",
@@ -4215,5 +4192,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 209879,
+      "path": "data/train/pc0/mathlib-001365-0000-ee53659a8369f0b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "ee53659a8369f0b67397731bea9d2525301c802beae378f7e433ad68c8552c33"
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+    {
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+      "path": "data/dev/pc0/mathlib-001365-0000-8cafc2dc57fc5c52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8cafc2dc57fc5c527f6d6b0f1695263cec6b6e27110a8982dfd3d5178625ec66"
+    },
+    {
+      "bytes": 59130,
+      "path": "data/internal_test/pc0/mathlib-001365-0000-e92ca2afdef41a95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e92ca2afdef41a95d9b61a76d43011df8970b52482ee1a197beb7dae37306bae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001366.json b/manifests/batches/mathlib/001366.json
index e0cd2b487174ad7c80ba7d2075d04a02b75cbb45..360f306c848e74685e9a14a1b2c27e757b81447e 100644
--- a/manifests/batches/mathlib/001366.json
+++ b/manifests/batches/mathlib/001366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001366",
   "batch_fingerprint": "5a6a7dd63d64e023add9916ac59a706fbbd00ced2a173bb40b05930fe741e8ae",
   "evidence": {
@@ -2235,22 +2234,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001366-0000-7aa10b625eb3acb8.parquet",
-      "sha256": "7aa10b625eb3acb86377acc96287f5fc75843d92ca4a7a3054fb9a8d3e2a4cf0",
-      "bytes": 75596,
-      "rows": 11,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001366-0000-be3eeb420a1bb699.parquet",
-      "sha256": "be3eeb420a1bb6993c928697f44fccab055779934d01912806a5db197897621d",
-      "bytes": 71808,
-      "rows": 7,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.ComplexMeasure.integrable_rnDeriv",
     "mathlib:MeasureTheory.SignedMeasure.jordanDecomposition_add_withDensity_mutuallySingular",
@@ -2272,5 +2256,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Decomposition/SignedLebesgue.lean\",null,null,\"MeasureTheory.SignedMeasure.singularPart_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Decomposition/SignedLebesgue.lean\",null,null,\"MeasureTheory.SignedMeasure.singularPart_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Decomposition/SignedLebesgue.lean\",null,null,\"MeasureTheory.SignedMeasure.singularPart_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75596,
+      "path": "data/train/p56/mathlib-001366-0000-7aa10b625eb3acb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7aa10b625eb3acb86377acc96287f5fc75843d92ca4a7a3054fb9a8d3e2a4cf0"
+    },
+    {
+      "bytes": 71808,
+      "path": "data/dev/p56/mathlib-001366-0000-be3eeb420a1bb699.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "be3eeb420a1bb6993c928697f44fccab055779934d01912806a5db197897621d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001367.json b/manifests/batches/mathlib/001367.json
index ef9bd40fec85a8b883140c89c6b7dcdc7a625b09..7ce63d06cd779210c6638700df57e3d8a512e1a2 100644
--- a/manifests/batches/mathlib/001367.json
+++ b/manifests/batches/mathlib/001367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001367",
   "batch_fingerprint": "991fe23f2b66be501cb7ea8c79c3dfc4ddc6bf7599779f5154425d910a7d5247",
   "evidence": {
@@ -1250,29 +1249,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001367-0000-fc59594fa0481d05.parquet",
-      "sha256": "fc59594fa0481d052682bdcd0cf9dc6d7bc52ba16a6282bd2bf204ce391a43ea",
-      "bytes": 187468,
-      "rows": 50,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001367-0000-2bde5afada110088.parquet",
-      "sha256": "2bde5afada11008867841a3423857a30336f3033c527931bdf1ff506aff1ec83",
-      "bytes": 60664,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001367-0000-ffa06023828d995e.parquet",
-      "sha256": "ffa06023828d995e99eb8453797a9912cd80d4e73d09c102d489c730a421cb3c",
-      "bytes": 76778,
-      "rows": 14,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AEEqFun.coeFn_abs",
     "mathlib:MeasureTheory.AEEqFun.coeFn_comp",
@@ -1342,5 +1319,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEEqFun.lean\",null,null,\"MeasureTheory.AEEqFun.pair_eq_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEEqFun.lean\",null,null,\"MeasureTheory.AEEqFun.sup_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEEqFun.lean\",null,null,\"MeasureTheory.AEEqFun.toGerm_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187468,
+      "path": "data/train/p60/mathlib-001367-0000-fc59594fa0481d05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "fc59594fa0481d052682bdcd0cf9dc6d7bc52ba16a6282bd2bf204ce391a43ea"
+    },
+    {
+      "bytes": 60664,
+      "path": "data/dev/p60/mathlib-001367-0000-2bde5afada110088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2bde5afada11008867841a3423857a30336f3033c527931bdf1ff506aff1ec83"
+    },
+    {
+      "bytes": 76778,
+      "path": "data/internal_test/p60/mathlib-001367-0000-ffa06023828d995e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ffa06023828d995e99eb8453797a9912cd80d4e73d09c102d489c730a421cb3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001368.json b/manifests/batches/mathlib/001368.json
index d8171cb572da0ea1f9f47e8e8ef14d59d73bc3ca..28fb5880ade4452c4e1f91141a23ad40048f1b8e 100644
--- a/manifests/batches/mathlib/001368.json
+++ b/manifests/batches/mathlib/001368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001368",
   "batch_fingerprint": "c414d2b9a47ff268bc8d96024e11092742415aa642ebe0be244f72a773e64880",
   "evidence": {
@@ -3302,22 +3301,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001368-0000-862176f6dafcc80a.parquet",
-      "sha256": "862176f6dafcc80af2d92aea25bd44bd5a982cfdf5b84f16cdbd075f9b124f84",
-      "bytes": 194236,
-      "rows": 38,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001368-0000-4f5f78928d0418ca.parquet",
-      "sha256": "4f5f78928d0418ca7cc9516ee2085f7da10426da9e922acc412ddafb562a01cc",
-      "bytes": 67642,
-      "rows": 5,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.aemeasurable_of_exist_almost_disjoint_supersets",
     "mathlib:MeasureTheory.ae_eq_of_forall_setLIntegral_eq_of_sigmaFinite\u2080",
@@ -3339,5 +3323,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean\",null,null,\"MeasureTheory.ae_nonneg_restrict_of_forall_setIntegral_nonneg_inter\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEMeasurableOrder.lean\",null,null,\"ENNReal.aemeasurable_of_exist_almost_disjoint_supersets\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194236,
+      "path": "data/train/pea/mathlib-001368-0000-862176f6dafcc80a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "862176f6dafcc80af2d92aea25bd44bd5a982cfdf5b84f16cdbd075f9b124f84"
+    },
+    {
+      "bytes": 67642,
+      "path": "data/internal_test/pea/mathlib-001368-0000-4f5f78928d0418ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4f5f78928d0418ca7cc9516ee2085f7da10426da9e922acc412ddafb562a01cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001369.json b/manifests/batches/mathlib/001369.json
index dfe620bb9923432b23c02e6a1fb38874e9462749..a0cad386d381e61a627e1ae5a0c84f4144dd10b2 100644
--- a/manifests/batches/mathlib/001369.json
+++ b/manifests/batches/mathlib/001369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001369",
   "batch_fingerprint": "a9f999f2b684293567458393782988ea01f6c1b28900ae804f0c7b4cf04eba0e",
   "evidence": {
@@ -2826,22 +2825,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001369-0000-988d4f7941c4a340.parquet",
-      "sha256": "988d4f7941c4a340cfd58e198c6f89aafc3a791327a8468d374ea3e7f974da73",
-      "bytes": 75505,
-      "rows": 9,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001369-0000-51a575555dfc9209.parquet",
-      "sha256": "51a575555dfc9209e7d97e3019fc33730a5a67ae96b0b563a73d08e8acbc2f24",
-      "bytes": 53603,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:aeSeq.aeSeq_eq_fun_of_mem_aeSeqSet",
     "mathlib:aeSeq.aeSeq_eq_mk_ae",
@@ -2857,5 +2841,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean\",null,null,\"aeSeq.fun_prop_of_mem_aeSeqSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean\",null,null,\"aeSeq.measure_compl_aeSeqSet_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean\",null,null,\"aeSeq.mk_eq_fun_of_mem_aeSeqSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75505,
+      "path": "data/train/pdb/mathlib-001369-0000-988d4f7941c4a340.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "988d4f7941c4a340cfd58e198c6f89aafc3a791327a8468d374ea3e7f974da73"
+    },
+    {
+      "bytes": 53603,
+      "path": "data/dev/pdb/mathlib-001369-0000-51a575555dfc9209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "51a575555dfc9209e7d97e3019fc33730a5a67ae96b0b563a73d08e8acbc2f24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001370.json b/manifests/batches/mathlib/001370.json
index 3f1753802babbcd389c39cfb94772b58b4a175e0..1ba8c18f94c991266db08c6d077a3caca75d0b7d 100644
--- a/manifests/batches/mathlib/001370.json
+++ b/manifests/batches/mathlib/001370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001370",
   "batch_fingerprint": "cce9cd1841274d2f857f3b39ad990dd3855a3dfb95a8fbae2b7d53742f4cbbf8",
   "evidence": {
@@ -4420,22 +4419,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001370-0000-d10bd48ca90fd8b0.parquet",
-      "sha256": "d10bd48ca90fd8b019a1e4e1596dcb77082420e1f1f26de93731632c24c2edaf",
-      "bytes": 124005,
-      "rows": 15,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001370-0000-0e655c2a75160960.parquet",
-      "sha256": "0e655c2a75160960dc8bfcd7aa78d019a7d5710ac3f900c2f6f0d456fcb7c74c",
-      "bytes": 55763,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.ae_eq_condexp_of_forall_setIntegral_eq",
     "mathlib:MeasureTheory.condexp_ae_eq_condexpL1CLM",
@@ -4459,5 +4443,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean\",null,null,\"MeasureTheory.condexp_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean\",null,null,\"MeasureTheory.integral_condexp_indicator\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean\",null,null,\"MeasureTheory.setIntegral_condexp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124005,
+      "path": "data/train/pb7/mathlib-001370-0000-d10bd48ca90fd8b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d10bd48ca90fd8b019a1e4e1596dcb77082420e1f1f26de93731632c24c2edaf"
+    },
+    {
+      "bytes": 55763,
+      "path": "data/internal_test/pb7/mathlib-001370-0000-0e655c2a75160960.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0e655c2a75160960dc8bfcd7aa78d019a7d5710ac3f900c2f6f0d456fcb7c74c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001371.json b/manifests/batches/mathlib/001371.json
index cf182cb9aabb2b3f167ea16b8b69a75ec58d207f..3273ac32b734465f8a565960d90561cfbd94adf8 100644
--- a/manifests/batches/mathlib/001371.json
+++ b/manifests/batches/mathlib/001371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001371",
   "batch_fingerprint": "bda4a4bc81adfe7f34806767043b71334aaaecd2b1b0a2e59fb98a9fe56c478b",
   "evidence": {
@@ -3179,7 +3178,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001372.json b/manifests/batches/mathlib/001372.json
index b8ded87d6f9f5ededb8e719433d21ca8b07335bf..7cafb7dd7e401720b99c88d8c6e76cc9d7deb71e 100644
--- a/manifests/batches/mathlib/001372.json
+++ b/manifests/batches/mathlib/001372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001372",
   "batch_fingerprint": "fa4a7f3a60059de29848de973ff7025e918e2bfec8ee51675056dfef29e94b95",
   "evidence": {
@@ -2924,15 +2923,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001372-0000-ef0f9e06a3743eff.parquet",
-      "sha256": "ef0f9e06a3743effd935a452ddfd738d9f82cc730e5051d3c43e9aa05fad7e61",
-      "bytes": 79739,
-      "rows": 13,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.condexp_stronglyMeasurable_mul_of_bound\u2080",
     "mathlib:MeasureTheory.condexp_stronglyMeasurable_mul\u2080"
@@ -2940,5 +2931,14 @@
   "proof_keys": [
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean\",null,null,\"MeasureTheory.condexp_stronglyMeasurable_mul\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79739,
+      "path": "data/train/pc9/mathlib-001372-0000-ef0f9e06a3743eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ef0f9e06a3743effd935a452ddfd738d9f82cc730e5051d3c43e9aa05fad7e61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001373.json b/manifests/batches/mathlib/001373.json
index f7e60e7ad770ab1390b9ccc173e4085dc272274f..445e8ae41027292a9d021a19e1bd180d914e5085 100644
--- a/manifests/batches/mathlib/001373.json
+++ b/manifests/batches/mathlib/001373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001373",
   "batch_fingerprint": "e4415b21bc826f299afaf308bb3ceedab7c771613550880faf569726f8547df1",
   "evidence": {
@@ -2209,22 +2208,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001373-0000-10b37328a8fd3a6a.parquet",
-      "sha256": "10b37328a8fd3a6abccd0354cdcb3f55e4e87853a2cc348624ef048d8b4cd4fb",
-      "bytes": 280084,
-      "rows": 45,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
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-      "path": "data/internal_test/mathlib-001373-0000-1e6f53f29f4e4cf9.parquet",
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-      "bytes": 72000,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedContinuousFunction.toLp_denseRange",
     "mathlib:ContinuousMap.toLp_denseRange",
@@ -2256,5 +2240,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean\",null,null,\"MeasureTheory.tendstoInMeasure_iff_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean\",null,null,\"MeasureTheory.tendstoInMeasure_of_tendsto_ae\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean\",null,null,\"MeasureTheory.tendstoInMeasure_of_tendsto_snorm_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280084,
+      "path": "data/train/p52/mathlib-001373-0000-10b37328a8fd3a6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "10b37328a8fd3a6abccd0354cdcb3f55e4e87853a2cc348624ef048d8b4cd4fb"
+    },
+    {
+      "bytes": 72000,
+      "path": "data/internal_test/p52/mathlib-001373-0000-1e6f53f29f4e4cf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1e6f53f29f4e4cf947cac198c3ab17a8e04bf94a15dab187e75122efb234321e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001374.json b/manifests/batches/mathlib/001374.json
index 5bf096c2803aacc4690aa8641ee98821ef848195..53a489ff45619eb0532f7e589611cd86fc5ffa61 100644
--- a/manifests/batches/mathlib/001374.json
+++ b/manifests/batches/mathlib/001374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001374",
   "batch_fingerprint": "5594d1f66f42ee96558f955e91b7331c1219726df6a5a174aa23de81659da2fe",
   "evidence": {
@@ -1555,29 +1554,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001374-0000-dc23a1a7b4105fa4.parquet",
-      "sha256": "dc23a1a7b4105fa42ef905c4a0761505c8268a06ac7924d7c215b6c655a6e04e",
-      "bytes": 171292,
-      "rows": 37,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001374-0000-dbddd0126f2c5ea6.parquet",
-      "sha256": "dbddd0126f2c5ea6e50863cd0abb5ef1075be640e6916b460a7c9692bbe751f9",
-      "bytes": 58051,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001374-0000-bd748fb6bb0d8b0d.parquet",
-      "sha256": "bd748fb6bb0d8b0d4cf735e98954a5620728cf0de5908cda30982c7a79be4232",
-      "bytes": 56338,
-      "rows": 2,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.coe_essSup",
     "mathlib:ENNReal.essSup_liminf_le",
@@ -1609,5 +1586,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/EssSup.lean\",null,null,\"essSup_measure_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/EssSup.lean\",null,null,\"meas_essSup_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/EssSup.lean\",null,null,\"meas_lt_essInf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171292,
+      "path": "data/train/p96/mathlib-001374-0000-dc23a1a7b4105fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "dc23a1a7b4105fa42ef905c4a0761505c8268a06ac7924d7c215b6c655a6e04e"
+    },
+    {
+      "bytes": 58051,
+      "path": "data/dev/p96/mathlib-001374-0000-dbddd0126f2c5ea6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dbddd0126f2c5ea6e50863cd0abb5ef1075be640e6916b460a7c9692bbe751f9"
+    },
+    {
+      "bytes": 56338,
+      "path": "data/internal_test/p96/mathlib-001374-0000-bd748fb6bb0d8b0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bd748fb6bb0d8b0d4cf735e98954a5620728cf0de5908cda30982c7a79be4232"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001375.json b/manifests/batches/mathlib/001375.json
index d291053eb2412d6de6f00d161f5cc255ffee8a94..661c15f8d15002d3a889d39d47442a90a699f9ba 100644
--- a/manifests/batches/mathlib/001375.json
+++ b/manifests/batches/mathlib/001375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001375",
   "batch_fingerprint": "c5f43e251f2baf9ed00db6a44c31fd4ca5839c494bd5c565d605a9866cb65277",
   "evidence": {
@@ -4731,22 +4730,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001375-0000-9ebe2e350f4ac38b.parquet",
-      "sha256": "9ebe2e350f4ac38b06e681e15cd286286f36da81b1e4f0b3d8879df6c3580dbe",
-      "bytes": 201649,
-      "rows": 35,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001375-0000-29c42107155c0694.parquet",
-      "sha256": "29c42107155c0694089e24ac76e211509e3a6f367bf19dabdb0f7dd770452a3f",
-      "bytes": 55146,
-      "rows": 4,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.measurable_ceil",
     "mathlib:Int.measurable_floor",
@@ -4786,5 +4770,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/Jacobian.lean\",null,null,\"MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 201649,
+      "path": "data/train/p65/mathlib-001375-0000-9ebe2e350f4ac38b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "9ebe2e350f4ac38b06e681e15cd286286f36da81b1e4f0b3d8879df6c3580dbe"
+    },
+    {
+      "bytes": 55146,
+      "path": "data/dev/p65/mathlib-001375-0000-29c42107155c0694.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "29c42107155c0694089e24ac76e211509e3a6f367bf19dabdb0f7dd770452a3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001376.json b/manifests/batches/mathlib/001376.json
index d73ecdfdb3b3dce03e1ed9f0ccff90a37dca43f9..747d904e7e7bf3b9bf0c41f270197f66d80d0587 100644
--- a/manifests/batches/mathlib/001376.json
+++ b/manifests/batches/mathlib/001376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001376",
   "batch_fingerprint": "c57852ae4a006b2fca95bc6488e25c6e200ff6a42131fa1a7a501cd2786b6fad",
   "evidence": {
@@ -7588,29 +7587,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001376-0000-93d0dcf9fb273988.parquet",
-      "sha256": "93d0dcf9fb27398840e4747a7249bbbae904c2d5c82227797641a375eb65c3dc",
-      "bytes": 336143,
-      "rows": 8,
-      "revision": "3aeadfe44b1c3e397c8269d92d3e60e423fb8058"
-    },
-    {
-      "path": "data/train/mathlib-001376-0001-d0b936b578a284f3.parquet",
-      "sha256": "d0b936b578a284f39db7ec773b58fafae13fe482cce95c754088006fd852b510",
-      "bytes": 334674,
-      "rows": 24,
-      "revision": "3aeadfe44b1c3e397c8269d92d3e60e423fb8058"
-    },
-    {
-      "path": "data/dev/mathlib-001376-0000-86aae83905697057.parquet",
-      "sha256": "86aae83905697057a65973c6cae3e6c0c9b8d0e6a3d9ada16d634c3444e3e9b6",
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-      "rows": 4,
-      "revision": "3aeadfe44b1c3e397c8269d92d3e60e423fb8058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.BoundedContinuousFunction.inner_toLp",
     "mathlib:MeasureTheory.ContinuousMap.inner_toLp",
@@ -7640,5 +7617,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/L2Space.lean\",null,null,\"MeasureTheory.Mem\u2112p.integrable_sq\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 336143,
+      "path": "data/train/pc7/mathlib-001376-0000-93d0dcf9fb273988.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "93d0dcf9fb27398840e4747a7249bbbae904c2d5c82227797641a375eb65c3dc"
+    },
+    {
+      "bytes": 334674,
+      "path": "data/train/pc7/mathlib-001376-0001-d0b936b578a284f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d0b936b578a284f39db7ec773b58fafae13fe482cce95c754088006fd852b510"
+    },
+    {
+      "bytes": 61660,
+      "path": "data/dev/pc7/mathlib-001376-0000-86aae83905697057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "86aae83905697057a65973c6cae3e6c0c9b8d0e6a3d9ada16d634c3444e3e9b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001377.json b/manifests/batches/mathlib/001377.json
index eb40314243625089a0404232f232942110d81120..ca4d18c5057586077934b02dd4f49e77bdefe6ee 100644
--- a/manifests/batches/mathlib/001377.json
+++ b/manifests/batches/mathlib/001377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001377",
   "batch_fingerprint": "f39a9413d27e3c1cd4dd2be7187f2d4dea8a3296bcfd047f4386bf190453d730",
   "evidence": {
@@ -2988,29 +2987,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001377-0000-614687ed92d0294d.parquet",
-      "sha256": "614687ed92d0294d1b2a1ca01497a71cbe39fa6738fcffdc320f779ef0d88caf",
-      "bytes": 221040,
-      "rows": 42,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/dev/mathlib-001377-0000-49e358bb13d6db15.parquet",
-      "sha256": "49e358bb13d6db153ca640905d7e1946b95efa4b9bf948da354a8e5bbe0afdf3",
-      "bytes": 61207,
-      "rows": 6,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    },
-    {
-      "path": "data/internal_test/mathlib-001377-0000-c0273ef668eb70a0.parquet",
-      "sha256": "c0273ef668eb70a0ff47becfe44581e10ec64788e167e61564509ea8eeb9ec63",
-      "bytes": 75281,
-      "rows": 3,
-      "revision": "713c98978a447a41255a0e12f4d34fc2750dd7a8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousOn.integrableOn_compact'",
     "mathlib:MeasureTheory.LocallyIntegrable.aestronglyMeasurable",
@@ -3048,5 +3025,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/LocallyIntegrable.lean\",null,null,\"MeasureTheory.locallyIntegrable_comap\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 221040,
+      "path": "data/train/pb4/mathlib-001377-0000-614687ed92d0294d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "614687ed92d0294d1b2a1ca01497a71cbe39fa6738fcffdc320f779ef0d88caf"
+    },
+    {
+      "bytes": 61207,
+      "path": "data/dev/pb4/mathlib-001377-0000-49e358bb13d6db15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49e358bb13d6db153ca640905d7e1946b95efa4b9bf948da354a8e5bbe0afdf3"
+    },
+    {
+      "bytes": 75281,
+      "path": "data/internal_test/pb4/mathlib-001377-0000-c0273ef668eb70a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c0273ef668eb70a0ff47becfe44581e10ec64788e167e61564509ea8eeb9ec63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001378.json b/manifests/batches/mathlib/001378.json
index 59439f6b596cca692eea614c583d0615ed35a243..2e945b4f815426972fe30c8f6a9462dc86d2b24f 100644
--- a/manifests/batches/mathlib/001378.json
+++ b/manifests/batches/mathlib/001378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001378",
   "batch_fingerprint": "7fc953b72bbba70c52c9283e0f42a47259ba1d4807efab558caef28a20d0632e",
   "evidence": {
@@ -4382,22 +4381,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001378-0000-22e4d9e77dc14fa3.parquet",
-      "sha256": "22e4d9e77dc14fa3ebac6d61816da2185f0d95e50d24ae9020158a9ef9def788",
-      "bytes": 293606,
-      "rows": 88,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001378-0000-dc9860f54d993c91.parquet",
-      "sha256": "dc9860f54d993c9121b3d23a3abb25bc981e9bbcb32b0a5e66cb56c44c31e6fa",
-      "bytes": 72884,
-      "rows": 11,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
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     "mathlib:MeasurableEmbedding.mem\u2112p_map_measure_iff",
@@ -4509,5 +4493,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 293606,
+      "path": "data/train/p08/mathlib-001378-0000-22e4d9e77dc14fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "22e4d9e77dc14fa3ebac6d61816da2185f0d95e50d24ae9020158a9ef9def788"
+    },
+    {
+      "bytes": 72884,
+      "path": "data/internal_test/p08/mathlib-001378-0000-dc9860f54d993c91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "dc9860f54d993c9121b3d23a3abb25bc981e9bbcb32b0a5e66cb56c44c31e6fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001379.json b/manifests/batches/mathlib/001379.json
index e709ce91425529df9a96f1b86b47ce68755fcd4d..2cc4f49e7e3ceafe09038594adc3d752e1dc39f7 100644
--- a/manifests/batches/mathlib/001379.json
+++ b/manifests/batches/mathlib/001379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001379",
   "batch_fingerprint": "66f4ec98c97670906aeb118d169ae53f001f3d56fd33fb84dca0767934b9a777",
   "evidence": {
@@ -2082,29 +2081,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001379-0000-58d799bec2f14f17.parquet",
-      "sha256": "58d799bec2f14f17f7ff62013bb14c49b7494305950878d285bf6632de7c9c72",
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-      "rows": 30,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
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-      "path": "data/dev/mathlib-001379-0000-4042002d25cd78b2.parquet",
-      "sha256": "4042002d25cd78b2af1cfffa9db4410282e2b3d196751b9592d1fb98d089c1e0",
-      "bytes": 39835,
-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001379-0000-fe45fa5a7f4351c1.parquet",
-      "sha256": "fe45fa5a7f4351c12f7100a00c7e1c7a69dc51a714e284e7ccc11ada2cfa73a0",
-      "bytes": 68412,
-      "rows": 4,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.LpAddConst_of_one_le",
     "mathlib:MeasureTheory.LpAddConst_zero",
@@ -2142,5 +2119,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean\",null,null,\"MeasureTheory.snorm_add_lt_top\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 120895,
+      "path": "data/train/pf3/mathlib-001379-0000-58d799bec2f14f17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "58d799bec2f14f17f7ff62013bb14c49b7494305950878d285bf6632de7c9c72"
+    },
+    {
+      "bytes": 39835,
+      "path": "data/dev/pf3/mathlib-001379-0000-4042002d25cd78b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4042002d25cd78b2af1cfffa9db4410282e2b3d196751b9592d1fb98d089c1e0"
+    },
+    {
+      "bytes": 68412,
+      "path": "data/internal_test/pf3/mathlib-001379-0000-fe45fa5a7f4351c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fe45fa5a7f4351c12f7100a00c7e1c7a69dc51a714e284e7ccc11ada2cfa73a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001380.json b/manifests/batches/mathlib/001380.json
index 7134bf3e3df52892646fd864d6306a1ab7147a81..406b6ca82e62623bce9b35e63516e093acb99e12 100644
--- a/manifests/batches/mathlib/001380.json
+++ b/manifests/batches/mathlib/001380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001380",
   "batch_fingerprint": "719a4d26dcafe8cb76cf2db12f301e321525129b04cfb4274a06c14912a287b5",
   "evidence": {
@@ -5817,36 +5816,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001380-0000-7cafb7e5217ea76c.parquet",
-      "sha256": "7cafb7e5217ea76ce9bd1e801b6b0d00b9ef34381785353239bc24283bb1c4e3",
-      "bytes": 797528,
-      "rows": 118,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/train/mathlib-001380-0001-2cee0faf232ddbfe.parquet",
-      "sha256": "2cee0faf232ddbfe9b356ced37a8ed5f0c7ab2cbc97b1cd4e5a066a8d742428d",
-      "bytes": 114600,
-      "rows": 18,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/dev/mathlib-001380-0000-4e85d6df39bb6f59.parquet",
-      "sha256": "4e85d6df39bb6f590caff63df4050cf2002e30455e0359caa3ed622d6fdf38e7",
-      "bytes": 58722,
-      "rows": 3,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/internal_test/mathlib-001380-0000-60ccaee1a3cb55c7.parquet",
-      "sha256": "60ccaee1a3cb55c7e37b8f3b95aea06ac6ffc4c26a5c1970930cbbed543d7031",
-      "bytes": 295614,
-      "rows": 33,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedContinuousFunction.Lp_nnnorm_le",
     "mathlib:BoundedContinuousFunction.mem_Lp",
@@ -5984,5 +5954,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/LpSpace.lean\",null,null,\"MeasureTheory.snormEssSup_indicator_const_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/LpSpace.lean\",null,null,\"MeasureTheory.snormEssSup_indicator_eq_snormEssSup_restrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/LpSpace.lean\",null,null,\"MeasureTheory.snormEssSup_indicator_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 797528,
+      "path": "data/train/pa1/mathlib-001380-0000-7cafb7e5217ea76c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 118,
+      "sha256": "7cafb7e5217ea76ce9bd1e801b6b0d00b9ef34381785353239bc24283bb1c4e3"
+    },
+    {
+      "bytes": 114600,
+      "path": "data/train/pa1/mathlib-001380-0001-2cee0faf232ddbfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2cee0faf232ddbfe9b356ced37a8ed5f0c7ab2cbc97b1cd4e5a066a8d742428d"
+    },
+    {
+      "bytes": 58722,
+      "path": "data/dev/pa1/mathlib-001380-0000-4e85d6df39bb6f59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4e85d6df39bb6f590caff63df4050cf2002e30455e0359caa3ed622d6fdf38e7"
+    },
+    {
+      "bytes": 295614,
+      "path": "data/internal_test/pa1/mathlib-001380-0000-60ccaee1a3cb55c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "60ccaee1a3cb55c7e37b8f3b95aea06ac6ffc4c26a5c1970930cbbed543d7031"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001381.json b/manifests/batches/mathlib/001381.json
index f291efb87f31c022efa629af64a472ded57561a9..f5609d04fbb2157063af462903f348ab898e12fa 100644
--- a/manifests/batches/mathlib/001381.json
+++ b/manifests/batches/mathlib/001381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001381",
   "batch_fingerprint": "57b3b64e9b969318d612fe4ddc4222b761f91c6bd386894d9e1e683833e13fa0",
   "evidence": {
@@ -4007,29 +4006,7 @@
     "validation_rejected_proofs": 15,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001381-0000-31b1947d9ae89d71.parquet",
-      "sha256": "31b1947d9ae89d71219b393d5bbcda76ccff70e24d57b917258b55449e88ffd2",
-      "bytes": 232533,
-      "rows": 64,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001381-0000-f917df068c380a14.parquet",
-      "sha256": "f917df068c380a14c5af5c06a2a1605a441f8e66d221e74d6889108978ee1061",
-      "bytes": 66466,
-      "rows": 2,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001381-0000-c2d589864e2f80d1.parquet",
-      "sha256": "c2d589864e2f80d1a21d824cea281cb5c95ae42c1a5d5b64faf52c4cb6055ec5",
-      "bytes": 59869,
-      "rows": 8,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DomMulAct.dist_smul_Lp",
     "mathlib:DomMulAct.edist_smul_Lp",
@@ -4121,5 +4098,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFunc.lean\",null,null,\"MeasureTheory.SimpleFunc.sum_range_measure_preimage_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFunc.lean\",null,null,\"MeasureTheory.SimpleFunc.support_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFunc.lean\",null,null,\"MeasureTheory.SimpleFunc.tsum_eapproxDiff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232533,
+      "path": "data/train/p0c/mathlib-001381-0000-31b1947d9ae89d71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "31b1947d9ae89d71219b393d5bbcda76ccff70e24d57b917258b55449e88ffd2"
+    },
+    {
+      "bytes": 66466,
+      "path": "data/dev/p0c/mathlib-001381-0000-f917df068c380a14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f917df068c380a14c5af5c06a2a1605a441f8e66d221e74d6889108978ee1061"
+    },
+    {
+      "bytes": 59869,
+      "path": "data/internal_test/p0c/mathlib-001381-0000-c2d589864e2f80d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c2d589864e2f80d1a21d824cea281cb5c95ae42c1a5d5b64faf52c4cb6055ec5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001382.json b/manifests/batches/mathlib/001382.json
index 533b9c830ebc7e3f1ccbe9708bdd06ce6ff20b5e..ce197cf52b47e2ea1aa79959ae86c6b05a393e40 100644
--- a/manifests/batches/mathlib/001382.json
+++ b/manifests/batches/mathlib/001382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001382",
   "batch_fingerprint": "82802f17a6c35edca5f335e63b8552a72bdee40c9d4a550e691d05e0a60b3b45",
   "evidence": {
@@ -4995,15 +4994,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001382-0000-021f9e8fe0144948.parquet",
-      "sha256": "021f9e8fe0144948be05e306e456ff48c60e2024c0c2cef64f26efd5e4aff7b6",
-      "bytes": 87972,
-      "rows": 15,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.SimpleFunc.edist_approxOn_mono",
     "mathlib:MeasureTheory.SimpleFunc.nearestPtInd_succ",
@@ -5015,5 +5006,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFuncDense.lean\",null,null,\"MeasureTheory.SimpleFunc.nearestPtInd_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFuncDense.lean\",null,null,\"MeasureTheory.SimpleFunc.tendsto_approxOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SimpleFuncDense.lean\",null,null,\"MeasureTheory.SimpleFunc.tendsto_nearestPt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87972,
+      "path": "data/train/pe5/mathlib-001382-0000-021f9e8fe0144948.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "021f9e8fe0144948be05e306e456ff48c60e2024c0c2cef64f26efd5e4aff7b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001383.json b/manifests/batches/mathlib/001383.json
index 15857734a1bc24720798da14f97556112e679efc..d4c3c55bf5fb60277395029dc8b458f4c8e20443 100644
--- a/manifests/batches/mathlib/001383.json
+++ b/manifests/batches/mathlib/001383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001383",
   "batch_fingerprint": "f965706dc068ec6bc6a18f36622a9d09c83f8b396519c0b6b0fe55e4bf689460",
   "evidence": {
@@ -903,7 +902,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001384.json b/manifests/batches/mathlib/001384.json
index c32d083cbab56a489366cd7d69abd5818847a70d..de5ddc193fa5f6897c407503c24cd11ab9b1a6a6 100644
--- a/manifests/batches/mathlib/001384.json
+++ b/manifests/batches/mathlib/001384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001384",
   "batch_fingerprint": "f8a14078027936f3679b0b66d88b8ce920356fe1d16088fcb9cdf3702881a00c",
   "evidence": {
@@ -260,15 +259,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001384-0000-7889865551cdfed9.parquet",
-      "sha256": "7889865551cdfed9b4c87c38eaa679dad7ea4bf8ebc05c510c42844899c2b543",
-      "bytes": 66311,
-      "rows": 6,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AEMeasurable.inner",
     "mathlib:measurable_of_re_im"
@@ -276,5 +267,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SpecialFunctions/Inner.lean\",null,null,\"AEMeasurable.inner\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/SpecialFunctions/RCLike.lean\",null,null,\"measurable_of_re_im\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66311,
+      "path": "data/train/paf/mathlib-001384-0000-7889865551cdfed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7889865551cdfed9b4c87c38eaa679dad7ea4bf8ebc05c510c42844899c2b543"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001385.json b/manifests/batches/mathlib/001385.json
index b51f56c81938c07287a63d8c50b97fcb73e627eb..811a506a8fe022bfe21102d2961035aab4c39d58 100644
--- a/manifests/batches/mathlib/001385.json
+++ b/manifests/batches/mathlib/001385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001385",
   "batch_fingerprint": "e41d7332acb4f021ee43224553a2c84f7ac7b7b340058b1c9716870fba84e290",
   "evidence": {
@@ -6311,29 +6310,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001385-0000-26059df47a41f457.parquet",
-      "sha256": "26059df47a41f45742c6dffaae847933d173ded79a5a0ba7d90f7b3c53fc59b9",
-      "bytes": 356386,
-      "rows": 93,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001385-0000-b8efcb67f46e7be5.parquet",
-      "sha256": "b8efcb67f46e7be5e87a9f7a6052e378a6c6eb2e74d74d7a3f410a22c70e5370",
-      "bytes": 77210,
-      "rows": 11,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001385-0000-b77b38f8e418b78e.parquet",
-      "sha256": "b77b38f8e418b78e5e5fb79ff8eea1dfa5e4dfb854f55f643dd27fd8e4211fd4",
-      "bytes": 105262,
-      "rows": 18,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.stronglyMeasurable_of_mulSupport_subset_isCompact",
     "mathlib:Finset.stronglyMeasurable_prod",
@@ -6425,5 +6402,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean\",null,null,\"stronglyMeasurable_const_smul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean\",null,null,\"stronglyMeasurable_iff_measurable_separable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356386,
+      "path": "data/train/pe8/mathlib-001385-0000-26059df47a41f457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "26059df47a41f45742c6dffaae847933d173ded79a5a0ba7d90f7b3c53fc59b9"
+    },
+    {
+      "bytes": 77210,
+      "path": "data/dev/pe8/mathlib-001385-0000-b8efcb67f46e7be5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b8efcb67f46e7be5e87a9f7a6052e378a6c6eb2e74d74d7a3f410a22c70e5370"
+    },
+    {
+      "bytes": 105262,
+      "path": "data/internal_test/pe8/mathlib-001385-0000-b77b38f8e418b78e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b77b38f8e418b78e5e5fb79ff8eea1dfa5e4dfb854f55f643dd27fd8e4211fd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001386.json b/manifests/batches/mathlib/001386.json
index 142c72e6776a4f536ee23b19dc5d8c9f4e90afcf..220d98545c538ac6a794db87b354dbef843b7e71 100644
--- a/manifests/batches/mathlib/001386.json
+++ b/manifests/batches/mathlib/001386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001386",
   "batch_fingerprint": "960a609a1d1f3dba65fe7d58a2881cc60ad03118bc790f30795320639f4cf8e7",
   "evidence": {
@@ -528,19 +527,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-001386-0000-465c76181e96ecb4.parquet",
-      "sha256": "465c76181e96ecb441b2ead8c8269f6dd4ba9399efe1e600d79fe82bdebf4edf",
-      "bytes": 47734,
-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.MeasurePreserving.aestronglyMeasurable_comp_iff"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Function/StronglyMeasurable/Lemmas.lean\",null,null,\"MeasureTheory.MeasurePreserving.aestronglyMeasurable_comp_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47734,
+      "path": "data/internal_test/p68/mathlib-001386-0000-465c76181e96ecb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "465c76181e96ecb441b2ead8c8269f6dd4ba9399efe1e600d79fe82bdebf4edf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001387.json b/manifests/batches/mathlib/001387.json
index 77c3f852dd7a2faee226cffad226aed217ab6952..e32b49d31a62a49c27e00bbda74a913ee043d5f9 100644
--- a/manifests/batches/mathlib/001387.json
+++ b/manifests/batches/mathlib/001387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001387",
   "batch_fingerprint": "9238527b5dde3717f9678bb4488ec8c041580483e41500ae17e1df4b90b353c0",
   "evidence": {
@@ -4736,22 +4735,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001387-0000-054011d01b949e57.parquet",
-      "sha256": "054011d01b949e57dca6c40d4fb21a94ccb982ca270062541f4c4d18a2e50fdb",
-      "bytes": 322181,
-      "rows": 70,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001387-0000-73ab49c3f28f1381.parquet",
-      "sha256": "73ab49c3f28f13814860ff76ba8f86a3386410c72730f9cc16f92ba2f7559cce",
-      "bytes": 48561,
-      "rows": 6,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Mem\u2112p.integral_indicator_norm_ge_nonneg_le",
     "mathlib:MeasureTheory.Mem\u2112p.integral_indicator_norm_ge_nonneg_le_of_meas",
@@ -4797,5 +4781,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Action.lean\",null,null,\"MeasureTheory.measure_smul_null\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Action.lean\",null,null,\"MeasureTheory.vadd_ae_eq_self_of_mem_zmultiples\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322181,
+      "path": "data/train/pde/mathlib-001387-0000-054011d01b949e57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "054011d01b949e57dca6c40d4fb21a94ccb982ca270062541f4c4d18a2e50fdb"
+    },
+    {
+      "bytes": 48561,
+      "path": "data/dev/pde/mathlib-001387-0000-73ab49c3f28f1381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "73ab49c3f28f13814860ff76ba8f86a3386410c72730f9cc16f92ba2f7559cce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001388.json b/manifests/batches/mathlib/001388.json
index 2e08560c4ba8dad0fab898518e7127df019bf6f7..d723b21fc4292f2b674c7f72b1c303d1f9bfe98c 100644
--- a/manifests/batches/mathlib/001388.json
+++ b/manifests/batches/mathlib/001388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001388",
   "batch_fingerprint": "33ebddc1c3b8f0bc1913a41376298b7aa0c4197fcc8570f680f6a617884e61c8",
   "evidence": {
@@ -1928,29 +1927,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001388-0000-8600678e9970b1f6.parquet",
-      "sha256": "8600678e9970b1f693a748695c9ff7f4d4276d398bd829cca6636908cd217c0e",
-      "bytes": 82075,
-      "rows": 18,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001388-0000-e6ec1fed0d74e6d7.parquet",
-      "sha256": "e6ec1fed0d74e6d7ff55e8922250e294f082084eac69e45be221d5edbeb2523f",
-      "bytes": 69328,
-      "rows": 2,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001388-0000-8fe2507cfc60f66a.parquet",
-      "sha256": "8fe2507cfc60f66ab40e5036c99d6bfc01a23cf3da150dc3c3b530f376d10a33",
-      "bytes": 43926,
-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AEMeasurable.mul_iff_right",
     "mathlib:Finset.aemeasurable_prod",
@@ -1988,5 +1965,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Arithmetic.lean\",null,null,\"measurable_inv_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Arithmetic.lean\",null,null,\"measurable_inv_iff\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Arithmetic.lean\",null,null,\"nullMeasurableSet_eq_fun\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82075,
+      "path": "data/train/pfc/mathlib-001388-0000-8600678e9970b1f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8600678e9970b1f693a748695c9ff7f4d4276d398bd829cca6636908cd217c0e"
+    },
+    {
+      "bytes": 69328,
+      "path": "data/dev/pfc/mathlib-001388-0000-e6ec1fed0d74e6d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e6ec1fed0d74e6d7ff55e8922250e294f082084eac69e45be221d5edbeb2523f"
+    },
+    {
+      "bytes": 43926,
+      "path": "data/internal_test/pfc/mathlib-001388-0000-8fe2507cfc60f66a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8fe2507cfc60f66ab40e5036c99d6bfc01a23cf3da150dc3c3b530f376d10a33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001389.json b/manifests/batches/mathlib/001389.json
index b2c13232da00f00c1fcc2cff2c91c58800f23c2a..a4a4367b3f6168492d2fa263c4bdba6560e2d2e7 100644
--- a/manifests/batches/mathlib/001389.json
+++ b/manifests/batches/mathlib/001389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001389",
   "batch_fingerprint": "866a7e3e973ad64ddcc230e673b1653f6c581c75ad79a07fd19ffc5125dd10fd",
   "evidence": {
@@ -1945,22 +1944,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001389-0000-7b5f06add8874fe2.parquet",
-      "sha256": "7b5f06add8874fe20335e198ff9b15272dc52c260086f7a0dfe464a0b6268f2f",
-      "bytes": 298411,
-      "rows": 68,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001389-0000-bdfd3e498b090ff4.parquet",
-      "sha256": "bdfd3e498b090ff4406d5f946b049a7f8ad0462bdaed5f107c2d89371179820e",
-      "bytes": 63636,
-      "rows": 7,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.IsFundamentalDomain.covolume_eq_volume",
     "mathlib:MeasureTheory.IsFundamentalDomain.exists_ne_one_smul_eq",
@@ -2034,5 +2018,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/FundamentalDomain.lean\",null,null,\"MeasureTheory.measure_map_restrict_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/FundamentalDomain.lean\",null,null,\"MeasureTheory.mem_fundamentalFrontier\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/FundamentalDomain.lean\",null,null,\"MeasureTheory.mem_fundamentalInterior\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298411,
+      "path": "data/train/p98/mathlib-001389-0000-7b5f06add8874fe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "7b5f06add8874fe20335e198ff9b15272dc52c260086f7a0dfe464a0b6268f2f"
+    },
+    {
+      "bytes": 63636,
+      "path": "data/internal_test/p98/mathlib-001389-0000-bdfd3e498b090ff4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bdfd3e498b090ff4406d5f946b049a7f8ad0462bdaed5f107c2d89371179820e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001390.json b/manifests/batches/mathlib/001390.json
index efb296e4599e8c9201365319a19864ac4f6609dd..cf26f654902dfd027feecff532dad8134ec23ac2 100644
--- a/manifests/batches/mathlib/001390.json
+++ b/manifests/batches/mathlib/001390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001390",
   "batch_fingerprint": "a25141fc02dd7b577e74b641b4dee49aae23ea072cb8dbb87f02e424aacd20ee",
   "evidence": {
@@ -625,15 +624,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001390-0000-6111b93c1de8e684.parquet",
-      "sha256": "6111b93c1de8e68480639a1adffa90a883b161854bdba76b555b3504abf9b4c8",
-      "bytes": 111447,
-      "rows": 21,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Integrable.comp_div_right",
     "mathlib:MeasureTheory.exists_pair_mem_lattice_not_disjoint_vadd",
@@ -659,5 +650,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Integral.lean\",null,null,\"MeasureTheory.integral_mul_left_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Integral.lean\",null,null,\"MeasureTheory.integral_mul_right_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Integral.lean\",null,null,\"MeasureTheory.integral_smul_eq_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111447,
+      "path": "data/train/p4a/mathlib-001390-0000-6111b93c1de8e684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6111b93c1de8e68480639a1adffa90a883b161854bdba76b555b3504abf9b4c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001391.json b/manifests/batches/mathlib/001391.json
index 46e4b8fca40ff7db72a6abc569926656320c4efd..52d3f73bc9950d23f661e693d7f49eb2c594a6fc 100644
--- a/manifests/batches/mathlib/001391.json
+++ b/manifests/batches/mathlib/001391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001391",
   "batch_fingerprint": "1f227330ae83812a6269de112d167713e76fba46bb47b87c7dfc3e032695a326",
   "evidence": {
@@ -480,15 +479,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001391-0000-5703c3ea3066e8f0.parquet",
-      "sha256": "5703c3ea3066e8f032ab5211fd04716711ecc4e90afb2d75bf976af4525096ce",
-      "bytes": 63367,
-      "rows": 6,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.lintegral_div_right_eq_self",
     "mathlib:MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant",
@@ -500,5 +491,14 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/LIntegral.lean\",null,null,\"MeasureTheory.lintegral_mul_left_eq_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/LIntegral.lean\",null,null,\"MeasureTheory.lintegral_mul_right_eq_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63367,
+      "path": "data/train/p43/mathlib-001391-0000-5703c3ea3066e8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5703c3ea3066e8f032ab5211fd04716711ecc4e90afb2d75bf976af4525096ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001392.json b/manifests/batches/mathlib/001392.json
index a0c310f200a15d1558ffb7cd69ebee6348d2a4b1..0da35db4544af0b31d582526b3c824de4d558efc 100644
--- a/manifests/batches/mathlib/001392.json
+++ b/manifests/batches/mathlib/001392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001392",
   "batch_fingerprint": "408b30c085fd5b711a059fd05ad7d78e9240cc700a924708a59ee8da5e86d4bb",
   "evidence": {
@@ -1586,22 +1585,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001392-0000-48c60da406b045e6.parquet",
-      "sha256": "48c60da406b045e6070c2baacc80169db6542d6f00794e345f7822c07f4097a6",
-      "bytes": 94708,
-      "rows": 22,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001392-0000-7f9d9b2243481b0e.parquet",
-      "sha256": "7f9d9b2243481b0e46b3314ff4b8c5dcff57785890d9308497f55fc33a8e296f",
-      "bytes": 92402,
-      "rows": 19,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableSet.const_smul_of_ne_zero",
     "mathlib:MeasurableSet.const_smul\u2080",
@@ -1637,5 +1621,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Pointwise.lean\",null,null,\"MeasurableSet.const_smul_of_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Group/Pointwise.lean\",null,null,\"MeasurableSet.const_smul\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94708,
+      "path": "data/train/p74/mathlib-001392-0000-48c60da406b045e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "48c60da406b045e6070c2baacc80169db6542d6f00794e345f7822c07f4097a6"
+    },
+    {
+      "bytes": 92402,
+      "path": "data/internal_test/p74/mathlib-001392-0000-7f9d9b2243481b0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7f9d9b2243481b0e46b3314ff4b8c5dcff57785890d9308497f55fc33a8e296f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001393.json b/manifests/batches/mathlib/001393.json
index 1f3a253637f0e3404b01422d1af927a156aee363..52e6115548737fbd3ffb94374a6abdf29ecd3257 100644
--- a/manifests/batches/mathlib/001393.json
+++ b/manifests/batches/mathlib/001393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001393",
   "batch_fingerprint": "a011f251f6d7f12390f43b94b81243efd9d9fa80b698e8b68b586dcf6e567618",
   "evidence": {
@@ -749,29 +748,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001393-0000-178034ad065beaa4.parquet",
-      "sha256": "178034ad065beaa4dcec109a01fa65e8894a0c59d3f217dc8e95b1d781718c2c",
-      "bytes": 339251,
-      "rows": 76,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001393-0000-164e20f38e446841.parquet",
-      "sha256": "164e20f38e446841eb3047fc65b79b45ae4193f8e423343d42e5a1254d37bde0",
-      "bytes": 47605,
-      "rows": 4,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
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-    {
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-      "sha256": "f856223fb259ffbbe2f9108996556d81647759a61d5022e68968621b128a1630",
-      "bytes": 63354,
-      "rows": 7,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Asymptotics.IsBigO.integrableAtFilter",
     "mathlib:MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atBot",
@@ -829,5 +806,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 339251,
+      "path": "data/train/pc5/mathlib-001393-0000-178034ad065beaa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "178034ad065beaa4dcec109a01fa65e8894a0c59d3f217dc8e95b1d781718c2c"
+    },
+    {
+      "bytes": 47605,
+      "path": "data/dev/pc5/mathlib-001393-0000-164e20f38e446841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "164e20f38e446841eb3047fc65b79b45ae4193f8e423343d42e5a1254d37bde0"
+    },
+    {
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+      "path": "data/internal_test/pc5/mathlib-001393-0000-f856223fb259ffbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f856223fb259ffbbe2f9108996556d81647759a61d5022e68968621b128a1630"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001394.json b/manifests/batches/mathlib/001394.json
index 07a3ce2e32788d1000485ba11061a7704499d8b5..a2477b0b0fc5ba5cc21e8c595232130afa750517 100644
--- a/manifests/batches/mathlib/001394.json
+++ b/manifests/batches/mathlib/001394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001394",
   "batch_fingerprint": "933bfb598538a0c1f3101d91cae0b573883a5f1086df679e8901c62cb9596b0d",
   "evidence": {
@@ -12078,29 +12077,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001394-0000-a88e3ba2e27b05b2.parquet",
-      "sha256": "a88e3ba2e27b05b20dcb84141b60d04eb53b2bb588d805c936bf347e60e386a5",
-      "bytes": 236139,
-      "rows": 61,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/dev/mathlib-001394-0000-0c6c37046fdcffc7.parquet",
-      "sha256": "0c6c37046fdcffc7f4ecf10c01b034a7f72a8192f8d1fdd3f291212be30d7f5c",
-      "bytes": 69584,
-      "rows": 7,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
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-    {
-      "path": "data/internal_test/mathlib-001394-0000-5b4038b3950885d8.parquet",
-      "sha256": "5b4038b3950885d858d580232f14a427d45b88c8dc389c945abbcbb82ff74fab",
-      "bytes": 67877,
-      "rows": 4,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.average_add_measure",
     "mathlib:MeasureTheory.average_congr",
@@ -12214,5 +12191,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 236139,
+      "path": "data/train/p71/mathlib-001394-0000-a88e3ba2e27b05b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "a88e3ba2e27b05b20dcb84141b60d04eb53b2bb588d805c936bf347e60e386a5"
+    },
+    {
+      "bytes": 69584,
+      "path": "data/dev/p71/mathlib-001394-0000-0c6c37046fdcffc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0c6c37046fdcffc7f4ecf10c01b034a7f72a8192f8d1fdd3f291212be30d7f5c"
+    },
+    {
+      "bytes": 67877,
+      "path": "data/internal_test/p71/mathlib-001394-0000-5b4038b3950885d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5b4038b3950885d858d580232f14a427d45b88c8dc389c945abbcbb82ff74fab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001395.json b/manifests/batches/mathlib/001395.json
index 28f2b68d2f6b264f8e28cc2d0b645d6707e5bb42..ba8223b0974f2d9056b0adb0da06e77550c1f24d 100644
--- a/manifests/batches/mathlib/001395.json
+++ b/manifests/batches/mathlib/001395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001395",
   "batch_fingerprint": "fb2244586081328d6221d45221fefb8aec3b14ab6d2eb89cf9f0b13ed0b52ab1",
   "evidence": {
@@ -2691,29 +2690,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001395-0000-f8b337ab82f4b573.parquet",
-      "sha256": "f8b337ab82f4b57321047b5eb3dcb8d25ddcfeadfd5b45c1993080311307223e",
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-      "rows": 41,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001395-0000-35d443a4838873dd.parquet",
-      "sha256": "35d443a4838873ddfa820b1d10d62c78989632c7873ac861c1e7d7e99d1cfcdd",
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-      "rows": 4,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001395-0000-93f7a17e6232c76a.parquet",
-      "sha256": "93f7a17e6232c76a477720800b36f8ae175f8e4f91d6ae6d1cf1f03eb8fa3b3d",
-      "bytes": 42335,
-      "rows": 2,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedContinuousFunction.apply_le_nndist_zero",
     "mathlib:BoundedContinuousFunction.integrable",
@@ -2781,5 +2758,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/CircleIntegral.lean\",null,null,\"periodic_circleMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184445,
+      "path": "data/train/p25/mathlib-001395-0000-f8b337ab82f4b573.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f8b337ab82f4b57321047b5eb3dcb8d25ddcfeadfd5b45c1993080311307223e"
+    },
+    {
+      "bytes": 54877,
+      "path": "data/dev/p25/mathlib-001395-0000-35d443a4838873dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "35d443a4838873ddfa820b1d10d62c78989632c7873ac861c1e7d7e99d1cfcdd"
+    },
+    {
+      "bytes": 42335,
+      "path": "data/internal_test/p25/mathlib-001395-0000-93f7a17e6232c76a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "93f7a17e6232c76a477720800b36f8ae175f8e4f91d6ae6d1cf1f03eb8fa3b3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001396.json b/manifests/batches/mathlib/001396.json
index 233198721d5000052cddec105c37319ce9989a97..1857fd7b03d02aa3069a20561c3f26905070c11a 100644
--- a/manifests/batches/mathlib/001396.json
+++ b/manifests/batches/mathlib/001396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001396",
   "batch_fingerprint": "9cc477a40dc9870ed798043233e1f1dacae694bf69cff8cd7ea93de87135d527",
   "evidence": {
@@ -1739,22 +1738,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001396-0000-2497ed938a4ac568.parquet",
-      "sha256": "2497ed938a4ac5684a1920fa7d70a5c5df79ddf935d34d9358f5140b1b374dd6",
-      "bytes": 111639,
-      "rows": 22,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/internal_test/mathlib-001396-0000-22e502f01754732d.parquet",
-      "sha256": "22e502f01754732d8410d4f04b0a2947954f7f8f582b4a756483c49b2926a4b1",
-      "bytes": 44261,
-      "rows": 6,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.circleTransformDeriv_bound",
     "mathlib:Complex.circleTransformDeriv_eq",
@@ -1768,5 +1752,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/CircleTransform.lean\",null,null,\"Complex.integral_circleTransform\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111639,
+      "path": "data/train/p0f/mathlib-001396-0000-2497ed938a4ac568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2497ed938a4ac5684a1920fa7d70a5c5df79ddf935d34d9358f5140b1b374dd6"
+    },
+    {
+      "bytes": 44261,
+      "path": "data/internal_test/p0f/mathlib-001396-0000-22e502f01754732d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "22e502f01754732d8410d4f04b0a2947954f7f8f582b4a756483c49b2926a4b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001397.json b/manifests/batches/mathlib/001397.json
index a9fb4081058ab94c9b616df823cda50fa99aa506..d9309c1e56e75f764e962ba4138ad0e7c26567f7 100644
--- a/manifests/batches/mathlib/001397.json
+++ b/manifests/batches/mathlib/001397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001397",
   "batch_fingerprint": "2ed462ea93113cb89e817820ccab554800d8426d9e297f8ab66ab556b67264a3",
   "evidence": {
@@ -2348,15 +2347,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001397-0000-449ddf62d80b61af.parquet",
-      "sha256": "449ddf62d80b61af19e6326324ab070f4feb3caf7f2af5ecf1ec5ab81b6e185a",
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-      "rows": 16,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:intervalIntegral.continuousOn_primitive_interval'",
     "mathlib:intervalIntegral.continuousOn_primitive_interval_left",
@@ -2370,5 +2361,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 98861,
+      "path": "data/train/p41/mathlib-001397-0000-449ddf62d80b61af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "449ddf62d80b61af19e6326324ab070f4feb3caf7f2af5ecf1ec5ab81b6e185a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001398.json b/manifests/batches/mathlib/001398.json
index 4c73f3082f5959d2500b9f3978fd4fbec870cc14..15d7702c7258e6b53f4f2a6cfd14487adde94ac3 100644
--- a/manifests/batches/mathlib/001398.json
+++ b/manifests/batches/mathlib/001398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001398",
   "batch_fingerprint": "34af6e5e108b603e243d7ead5886a5da32800358d6986a69d8c9b16e30c758fb",
   "evidence": {
@@ -4115,29 +4114,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001398-0000-6f62558774c1751e.parquet",
-      "sha256": "6f62558774c1751e1870ad20ceea45c2a63c5d54708c964587a8206e01474c5f",
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-      "rows": 20,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
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-    {
-      "path": "data/dev/mathlib-001398-0000-346ce8e49fba21e8.parquet",
-      "sha256": "346ce8e49fba21e8674bfca17f57af1a03fe7d52e8164e019b3862aeba684db2",
-      "bytes": 64121,
-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
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-      "rows": 7,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
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     "mathlib:intervalIntegral.integral_comp_mul_deriv''",
@@ -4179,5 +4156,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 121628,
+      "path": "data/train/p37/mathlib-001398-0000-6f62558774c1751e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "6f62558774c1751e1870ad20ceea45c2a63c5d54708c964587a8206e01474c5f"
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+    {
+      "bytes": 64121,
+      "path": "data/dev/p37/mathlib-001398-0000-346ce8e49fba21e8.parquet",
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+      "rows": 1,
+      "sha256": "346ce8e49fba21e8674bfca17f57af1a03fe7d52e8164e019b3862aeba684db2"
+    },
+    {
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+      "path": "data/internal_test/p37/mathlib-001398-0000-ead134263bc3cb14.parquet",
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+      "sha256": "ead134263bc3cb1439a271b7dbc15f96d685321535544960b1cf07cdf0875c44"
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   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001399.json b/manifests/batches/mathlib/001399.json
index d0a6373c69c8f6b07cd862828ef0351dc399409f..aa41910275b4a110f23a19beccfb5edbfe20388c 100644
--- a/manifests/batches/mathlib/001399.json
+++ b/manifests/batches/mathlib/001399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001399",
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   "evidence": {
@@ -2246,29 +2245,7 @@
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-      "sha256": "10cd1c12e57172254e3a8970b46b51ac5d756f438550004ae1db04973a7f3178",
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-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
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-    {
-      "path": "data/internal_test/mathlib-001399-0000-d5812c089cdfe2b9.parquet",
-      "sha256": "d5812c089cdfe2b94f1192a41143f3c7ace706c7887d37af83b6a4dab63bd5d4",
-      "bytes": 54821,
-      "rows": 4,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.integrableAt_nhds",
     "mathlib:ContinuousOn.aemeasurable",
@@ -2352,5 +2329,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/IntegrableOn.lean\",null,null,\"integrableOn_Iic_iff_integrableOn_Iio'\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 289230,
+      "path": "data/train/pd2/mathlib-001399-0000-10cd1c12e5717225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 79,
+      "sha256": "10cd1c12e57172254e3a8970b46b51ac5d756f438550004ae1db04973a7f3178"
+    },
+    {
+      "bytes": 70341,
+      "path": "data/dev/pd2/mathlib-001399-0000-1adf0890bebeecb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1adf0890bebeecb85ad673595091632a69a7f64976c2f70f0aa23b2d1520256d"
+    },
+    {
+      "bytes": 54821,
+      "path": "data/internal_test/pd2/mathlib-001399-0000-d5812c089cdfe2b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d5812c089cdfe2b94f1192a41143f3c7ace706c7887d37af83b6a4dab63bd5d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001400.json b/manifests/batches/mathlib/001400.json
index 61a859ff764316964858ef78579bce8db581eef5..18f7ba1032070767c5e82b2cb66e9a16dbe6bce5 100644
--- a/manifests/batches/mathlib/001400.json
+++ b/manifests/batches/mathlib/001400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001400",
   "batch_fingerprint": "1c8c29e1662ae542984faf773d84dc8bdc4b5f294075d422c47e3060a7911e8a",
   "evidence": {
@@ -4050,29 +4049,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001400-0000-2143a0ada7452805.parquet",
-      "sha256": "2143a0ada74528050fd831dca20322741faed199c6b56af3751dc6fbc79651bf",
-      "bytes": 322012,
-      "rows": 71,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001400-0000-04966167df65b96a.parquet",
-      "sha256": "04966167df65b96ab7af487d4162429e3538866678a59c138d2165498feafd28",
-      "bytes": 65112,
-      "rows": 10,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001400-0000-04c82d575cf1ba09.parquet",
-      "sha256": "04c82d575cf1ba09f829358602a886691674ef2dce5e8eb56d2b441e05ae1cfb",
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-      "rows": 11,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AECover.aemeasurable",
     "mathlib:MeasureTheory.AECover.aestronglyMeasurable",
@@ -4140,5 +4117,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean\",null,null,\"MeasureTheory.intervalIntegral_tendsto_integral_Ioi\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/IntervalAverage.lean\",null,null,\"interval_average_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322012,
+      "path": "data/train/p92/mathlib-001400-0000-2143a0ada7452805.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "2143a0ada74528050fd831dca20322741faed199c6b56af3751dc6fbc79651bf"
+    },
+    {
+      "bytes": 65112,
+      "path": "data/dev/p92/mathlib-001400-0000-04966167df65b96a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "04966167df65b96ab7af487d4162429e3538866678a59c138d2165498feafd28"
+    },
+    {
+      "bytes": 82458,
+      "path": "data/internal_test/p92/mathlib-001400-0000-04c82d575cf1ba09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "04c82d575cf1ba09f829358602a886691674ef2dce5e8eb56d2b441e05ae1cfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001401.json b/manifests/batches/mathlib/001401.json
index 3efa17079bbde1d94b0baf72ee133e0b62630791..cd7e6dcc847815c28bdca7ad83bb9664792afbcb 100644
--- a/manifests/batches/mathlib/001401.json
+++ b/manifests/batches/mathlib/001401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001401",
   "batch_fingerprint": "089066b2e94e6130649cb90751d9ff09150a01f917dc78f99baf5b57c45e05ff",
   "evidence": {
@@ -4675,29 +4674,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001401-0000-75ac2a4dae2af0e6.parquet",
-      "sha256": "75ac2a4dae2af0e616b0f43752abefb7d978aa6c6c5e18c21b37f80b505cb69f",
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-      "rows": 114,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001401-0000-354ba2fb4ca6eede.parquet",
-      "sha256": "354ba2fb4ca6eede5e1c17ccba0aa9c22ef1c10e2d5ad2e0935d282de152beee",
-      "bytes": 74320,
-      "rows": 8,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001401-0000-a09958b705d15206.parquet",
-      "sha256": "a09958b705d15206765217f46dcdbfadd0645f5e4d3c5efb80974641329c7cff",
-      "bytes": 66055,
-      "rows": 9,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.intervalIntegral_apply",
     "mathlib:ContinuousLinearMap.intervalIntegral_comp_comm",
@@ -4885,5 +4862,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 413199,
+      "path": "data/train/pbf/mathlib-001401-0000-75ac2a4dae2af0e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 114,
+      "sha256": "75ac2a4dae2af0e616b0f43752abefb7d978aa6c6c5e18c21b37f80b505cb69f"
+    },
+    {
+      "bytes": 74320,
+      "path": "data/dev/pbf/mathlib-001401-0000-354ba2fb4ca6eede.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "354ba2fb4ca6eede5e1c17ccba0aa9c22ef1c10e2d5ad2e0935d282de152beee"
+    },
+    {
+      "bytes": 66055,
+      "path": "data/internal_test/pbf/mathlib-001401-0000-a09958b705d15206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a09958b705d15206765217f46dcdbfadd0645f5e4d3c5efb80974641329c7cff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001402.json b/manifests/batches/mathlib/001402.json
index 827ef4b8b2156f0fd0bae7e9870a1f26456647c4..e19a823ab67dd4ed467e4ff38630ff0ad25bca90 100644
--- a/manifests/batches/mathlib/001402.json
+++ b/manifests/batches/mathlib/001402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001402",
   "batch_fingerprint": "7cba9aa4689bfb47bb070288d31ce13f7931cb9c541b07b5b095ef855c498db7",
   "evidence": {
@@ -8066,29 +8065,7 @@
     "validation_rejected_proofs": 17,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001402-0000-7ad83d3a5026cf65.parquet",
-      "sha256": "7ad83d3a5026cf6585b0ad44032ccf4d0ad408ec7d9d3a41f943dae34ad79da4",
-      "bytes": 536397,
-      "rows": 147,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001402-0000-7b6ce14a7faea54d.parquet",
-      "sha256": "7b6ce14a7faea54dd60d06395f095489883e2bfeb9c8d8c8b6b3e07f62702e40",
-      "bytes": 67724,
-      "rows": 9,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001402-0000-d4e0d1426d3cd720.parquet",
-      "sha256": "d4e0d1426d3cd720e1eb94c12cd2cf8a885769e4854d4a53c9a61ac0e4353e4f",
-      "bytes": 82815,
-      "rows": 18,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.count_const_le_le_of_tsum_le",
     "mathlib:ENNReal.tsum_const_eq",
@@ -8272,5 +8249,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/Lebesgue.lean\",null,null,\"MeasureTheory.univ_le_of_forall_fin_meas_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 536397,
+      "path": "data/train/pd6/mathlib-001402-0000-7ad83d3a5026cf65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 147,
+      "sha256": "7ad83d3a5026cf6585b0ad44032ccf4d0ad408ec7d9d3a41f943dae34ad79da4"
+    },
+    {
+      "bytes": 67724,
+      "path": "data/dev/pd6/mathlib-001402-0000-7b6ce14a7faea54d.parquet",
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+      "rows": 9,
+      "sha256": "7b6ce14a7faea54dd60d06395f095489883e2bfeb9c8d8c8b6b3e07f62702e40"
+    },
+    {
+      "bytes": 82815,
+      "path": "data/internal_test/pd6/mathlib-001402-0000-d4e0d1426d3cd720.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d4e0d1426d3cd720e1eb94c12cd2cf8a885769e4854d4a53c9a61ac0e4353e4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001403.json b/manifests/batches/mathlib/001403.json
index f710149648c90ae3875d24547db5f61e4c66d285..0d36f34c4876f00e983b577c17b8d57a1d316b9d 100644
--- a/manifests/batches/mathlib/001403.json
+++ b/manifests/batches/mathlib/001403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001403",
   "batch_fingerprint": "99eb4040638caa293d076c660a9f01088418f011221918d1fb93ae640a66ce74",
   "evidence": {
@@ -3049,29 +3048,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001403-0000-f9e884fd2daadadd.parquet",
-      "sha256": "f9e884fd2daadaddc3217f190d2cfd6422d36baa11d0811b52e60a469b7233a0",
-      "bytes": 97068,
-      "rows": 19,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001403-0000-1bd509542d733592.parquet",
-      "sha256": "1bd509542d733592b035b6eb1c5490526a9af967ef40d78261739a211713c16e",
-      "bytes": 57076,
-      "rows": 2,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001403-0000-e0b2254b79f7e3ae.parquet",
-      "sha256": "e0b2254b79f7e3ae5d50e2036bc1e9865d75181dd3102fc1a799ffed1c2242c1",
-      "bytes": 86678,
-      "rows": 10,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.ae_eq_zero_of_lintegral_rpow_eq_zero",
     "mathlib:ENNReal.fun_eq_funMulInvSnorm_mul_snorm",
@@ -3105,5 +3082,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/MeanInequalities.lean\",null,null,\"NNReal.lintegral_mul_le_Lp_mul_Lq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97068,
+      "path": "data/train/pf4/mathlib-001403-0000-f9e884fd2daadadd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f9e884fd2daadaddc3217f190d2cfd6422d36baa11d0811b52e60a469b7233a0"
+    },
+    {
+      "bytes": 57076,
+      "path": "data/dev/pf4/mathlib-001403-0000-1bd509542d733592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1bd509542d733592b035b6eb1c5490526a9af967ef40d78261739a211713c16e"
+    },
+    {
+      "bytes": 86678,
+      "path": "data/internal_test/pf4/mathlib-001403-0000-e0b2254b79f7e3ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e0b2254b79f7e3ae5d50e2036bc1e9865d75181dd3102fc1a799ffed1c2242c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001404.json b/manifests/batches/mathlib/001404.json
index 253c0d224614b88b51296450dc06ca1658ed4474..431836b18831647d8645f3d118d7bf5750c332d3 100644
--- a/manifests/batches/mathlib/001404.json
+++ b/manifests/batches/mathlib/001404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001404",
   "batch_fingerprint": "4351070e47b2bd3e52b71876c26eb52e4db2f284c5c7aad925f6d833c608546e",
   "evidence": {
@@ -3312,22 +3311,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001404-0000-fde64b8a68aeb49c.parquet",
-      "sha256": "fde64b8a68aeb49c0cd72e1a996f691aa3064ea5299ebdd54fbccfb98b2521cd",
-      "bytes": 123619,
-      "rows": 28,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001404-0000-e2ab825f129a6aef.parquet",
-      "sha256": "e2ab825f129a6aefc926c4c2a1c0bebdb4a3b25874551249e8e9aaaf325bf51f",
-      "bytes": 22348,
-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCircle.intervalIntegral_preimage",
     "mathlib:AddCircle.measure_univ",
@@ -3351,5 +3335,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/Periodic.lean\",null,null,\"isAddFundamentalDomain_Ioc\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 123619,
+      "path": "data/train/pd9/mathlib-001404-0000-fde64b8a68aeb49c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "fde64b8a68aeb49c0cd72e1a996f691aa3064ea5299ebdd54fbccfb98b2521cd"
+    },
+    {
+      "bytes": 22348,
+      "path": "data/internal_test/pd9/mathlib-001404-0000-e2ab825f129a6aef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "e2ab825f129a6aefc926c4c2a1c0bebdb4a3b25874551249e8e9aaaf325bf51f"
+    }
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001405.json b/manifests/batches/mathlib/001405.json
index 5445be9402d0af3da224040cab89364c2ce41f06..622d00206321195a07f729dffe1a751c163ef180 100644
--- a/manifests/batches/mathlib/001405.json
+++ b/manifests/batches/mathlib/001405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001405",
   "batch_fingerprint": "c42db383880cfa1eaef2b97b557a948f483b9d44394fae652d0626e36ea739a9",
   "evidence": {
@@ -387,22 +386,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001405-0000-ce2ed158a5ff1d89.parquet",
-      "sha256": "ce2ed158a5ff1d893360c2ca79407443f8d5df21a390f9faff74a0f8ca1b3765",
-      "bytes": 71449,
-      "rows": 7,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001405-0000-a0760ba1c60f120e.parquet",
-      "sha256": "a0760ba1c60f120e6c3f5799d7abc0e79872672344235ac8995989f781218942",
-      "bytes": 47467,
-      "rows": 4,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Integrable.fintype_prod_dep",
     "mathlib:MeasureTheory.integral_fintype_prod_eq_pow",
@@ -414,5 +398,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/Pi.lean\",null,null,\"MeasureTheory.integral_fintype_prod_eq_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/Pi.lean\",null,null,\"MeasureTheory.integral_fintype_prod_eq_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/RieszMarkovKakutani.lean\",null,null,\"exists_lt_rieszContentAux_add_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71449,
+      "path": "data/train/p3f/mathlib-001405-0000-ce2ed158a5ff1d89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ce2ed158a5ff1d893360c2ca79407443f8d5df21a390f9faff74a0f8ca1b3765"
+    },
+    {
+      "bytes": 47467,
+      "path": "data/internal_test/p3f/mathlib-001405-0000-a0760ba1c60f120e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a0760ba1c60f120e6c3f5799d7abc0e79872672344235ac8995989f781218942"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001406.json b/manifests/batches/mathlib/001406.json
index b2fd9cb797eccb66828d5870febd8e660b908236..5464ec33d7a784f58ccdde197c02ce8d134b091a 100644
--- a/manifests/batches/mathlib/001406.json
+++ b/manifests/batches/mathlib/001406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001406",
   "batch_fingerprint": "3d03e00867a246bca2b8b30348df353335c70ed26d86b36e5710beaba4f5c49e",
   "evidence": {
@@ -14324,29 +14323,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001406-0000-4e9bde9d943876d6.parquet",
-      "sha256": "4e9bde9d943876d6a69e8b9f04cb2f52928a74e5d95dda4dedcc2738ee7cfcf3",
-      "bytes": 455470,
-      "rows": 75,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/dev/mathlib-001406-0000-3d5853720247e3e6.parquet",
-      "sha256": "3d5853720247e3e659b60e8e2fe26caced161d5eabb32988665785bc2d871e6b",
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-      "rows": 3,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    },
-    {
-      "path": "data/internal_test/mathlib-001406-0000-c38072a1bedeb1e7.parquet",
-      "sha256": "c38072a1bedeb1e741c445933fb7f06f71b7c7770a371d02d1fb27fcb9f45fba",
-      "bytes": 200457,
-      "rows": 10,
-      "revision": "e7ff2552ac243e516169183c325ad77872d036cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.continuous_integral_comp_L1",
     "mathlib:MeasurableEmbedding.setIntegral_map",
@@ -14432,5 +14409,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/SetIntegral.lean\",null,null,\"setIntegral_withDensity_eq_setIntegral_smul\u2080\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/SetIntegral.lean\",null,null,\"snd_integral\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455470,
+      "path": "data/train/p62/mathlib-001406-0000-4e9bde9d943876d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "4e9bde9d943876d6a69e8b9f04cb2f52928a74e5d95dda4dedcc2738ee7cfcf3"
+    },
+    {
+      "bytes": 65533,
+      "path": "data/dev/p62/mathlib-001406-0000-3d5853720247e3e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d5853720247e3e659b60e8e2fe26caced161d5eabb32988665785bc2d871e6b"
+    },
+    {
+      "bytes": 200457,
+      "path": "data/internal_test/p62/mathlib-001406-0000-c38072a1bedeb1e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c38072a1bedeb1e741c445933fb7f06f71b7c7770a371d02d1fb27fcb9f45fba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001407.json b/manifests/batches/mathlib/001407.json
index 368a56ff0baa505be39b32a4d4001083400b8af0..9565d3209b6437d1cfbea845a5b7b448e44875bd 100644
--- a/manifests/batches/mathlib/001407.json
+++ b/manifests/batches/mathlib/001407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001407",
   "batch_fingerprint": "6de49b79289c0c4ee37f9f651765b0526bed273b283fbfa0bd69b027a79851c7",
   "evidence": {
@@ -2655,22 +2654,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001407-0000-d93ad50f027d6b7a.parquet",
-      "sha256": "d93ad50f027d6b7a0f37e18215498872a999f9c0885675c553e37f02f0b1e7ed",
-      "bytes": 66013,
-      "rows": 11,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001407-0000-d6783557665156f1.parquet",
-      "sha256": "d6783557665156f112bf105675bc1890ca00ef69999d8d32b0d2f8874ad27551",
-      "bytes": 48347,
-      "rows": 2,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TorusIntegrable.torusIntegrable_const",
     "mathlib:TorusIntegrable.torusIntegrable_zero_radius",
@@ -2696,5 +2680,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/TorusIntegral.lean\",null,null,\"torusIntegral_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Integral/TorusIntegral.lean\",null,null,\"torusMap_eq_center_iff\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 66013,
+      "path": "data/train/p58/mathlib-001407-0000-d93ad50f027d6b7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d93ad50f027d6b7a0f37e18215498872a999f9c0885675c553e37f02f0b1e7ed"
+    },
+    {
+      "bytes": 48347,
+      "path": "data/internal_test/p58/mathlib-001407-0000-d6783557665156f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d6783557665156f112bf105675bc1890ca00ef69999d8d32b0d2f8874ad27551"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001408.json b/manifests/batches/mathlib/001408.json
index 099294c8083320687a13a87fa06e8d9fcadbf5cc..3c5e407ea14843200e42db09978f1b5104b8e4d5 100644
--- a/manifests/batches/mathlib/001408.json
+++ b/manifests/batches/mathlib/001408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001408",
   "batch_fingerprint": "c29e9f98ec66f3da6c14a739e438ef5b6622c3877e8d8b25e198033d94f54f78",
   "evidence": {
@@ -5040,29 +5039,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001408-0000-dd03cc0525a2ce96.parquet",
-      "sha256": "dd03cc0525a2ce967946850bf3ac0145f77203811e38f0e333e20e2d4d2382d0",
-      "bytes": 292801,
-      "rows": 82,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/dev/mathlib-001408-0000-8fe83329973c7e19.parquet",
-      "sha256": "8fe83329973c7e198b17b723126e43ee404600409296731f1776bbb34138f9c9",
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-      "rows": 5,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001408-0000-a5a393ac66295306.parquet",
-      "sha256": "a5a393ac66295306de30d3582bf758ab02094c7cc962cd4b6cd80393e51bb4d1",
-      "bytes": 62092,
-      "rows": 7,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.principal_isMeasurablyGenerated_iff",
     "mathlib:Measurable.exists",
@@ -5146,5 +5123,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 292801,
+      "path": "data/train/p38/mathlib-001408-0000-dd03cc0525a2ce96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "dd03cc0525a2ce967946850bf3ac0145f77203811e38f0e333e20e2d4d2382d0"
+    },
+    {
+      "bytes": 54757,
+      "path": "data/dev/p38/mathlib-001408-0000-8fe83329973c7e19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8fe83329973c7e198b17b723126e43ee404600409296731f1776bbb34138f9c9"
+    },
+    {
+      "bytes": 62092,
+      "path": "data/internal_test/p38/mathlib-001408-0000-a5a393ac66295306.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a5a393ac66295306de30d3582bf758ab02094c7cc962cd4b6cd80393e51bb4d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001409.json b/manifests/batches/mathlib/001409.json
index 357e4b9638dbcf33319c5271a2f6e8d70173bedc..a1a928463f4d7b0c913df5de214b0a831a86596c 100644
--- a/manifests/batches/mathlib/001409.json
+++ b/manifests/batches/mathlib/001409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001409",
   "batch_fingerprint": "21502f6caffbca1ae5ab6df8acd4681c9586b649207dfb74fb6859e8e2f5ba34",
   "evidence": {
@@ -2735,29 +2734,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001409-0000-b13dfa4209e1fe4f.parquet",
-      "sha256": "b13dfa4209e1fe4fddd88488cf0e1bff48569cf53349038b98efd5987bc6449a",
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-      "rows": 66,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
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-    {
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-      "sha256": "b328afc62eb143d13d47f9f87bae6cc6fa01adedf0be8fc80e62309dba146823",
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-      "rows": 1,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    },
-    {
-      "path": "data/internal_test/mathlib-001409-0000-68c290b20b492537.parquet",
-      "sha256": "68c290b20b492537fc7137698eb773d368aadb79115b74714e81fcae21b2b063",
-      "bytes": 57512,
-      "rows": 10,
-      "revision": "1fab23f92947446cdef0919a9a4a664bd547a64c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableSet.biInter",
     "mathlib:MeasurableSet.congr",
@@ -2839,5 +2816,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/MeasurableSpace/Defs.lean\",null,null,\"measurableSet_insert\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227635,
+      "path": "data/train/pd4/mathlib-001409-0000-b13dfa4209e1fe4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "b13dfa4209e1fe4fddd88488cf0e1bff48569cf53349038b98efd5987bc6449a"
+    },
+    {
+      "bytes": 43236,
+      "path": "data/dev/pd4/mathlib-001409-0000-b328afc62eb143d1.parquet",
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+      "rows": 1,
+      "sha256": "b328afc62eb143d13d47f9f87bae6cc6fa01adedf0be8fc80e62309dba146823"
+    },
+    {
+      "bytes": 57512,
+      "path": "data/internal_test/pd4/mathlib-001409-0000-68c290b20b492537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "68c290b20b492537fc7137698eb773d368aadb79115b74714e81fcae21b2b063"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001410.json b/manifests/batches/mathlib/001410.json
index 282eec46653a414c21e218513d8cfb8dca57e1af..1a74f3e4cbbc1bfa0a1fd9d3832eb9b08cf15a62 100644
--- a/manifests/batches/mathlib/001410.json
+++ b/manifests/batches/mathlib/001410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001410",
   "batch_fingerprint": "04839dca7eb6e7f4313738e6b390a473e517a048e17265b616b688b92b3d4c37",
   "evidence": {
@@ -1023,29 +1022,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
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-      "sha256": "d3692e1ca861a8a37b1141705c7f88f2cc0ad465fc3d5e1cf2e4d7848e37be68",
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-      "rows": 19,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-    {
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-      "sha256": "4522a9549d19b2542a84dffb41a94c6825099950a14d3076c847f2097a18d8b5",
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-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "sha256": "15e952ba6dbbff8eaa63d639cca07220f42df52cc262d7c6f7fed428aef68d6e",
-      "bytes": 57379,
-      "rows": 6,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableEmbedding.id",
     "mathlib:MeasurableEmbedding.measurableSet_image",
@@ -1091,5 +1068,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 97906,
+      "path": "data/train/pfa/mathlib-001410-0000-d3692e1ca861a8a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "d3692e1ca861a8a37b1141705c7f88f2cc0ad465fc3d5e1cf2e4d7848e37be68"
+    },
+    {
+      "bytes": 46563,
+      "path": "data/dev/pfa/mathlib-001410-0000-4522a9549d19b254.parquet",
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+    {
+      "bytes": 57379,
+      "path": "data/internal_test/pfa/mathlib-001410-0000-15e952ba6dbbff8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "15e952ba6dbbff8eaa63d639cca07220f42df52cc262d7c6f7fed428aef68d6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001411.json b/manifests/batches/mathlib/001411.json
index 77f1fec246339bea0bbda7bd8b4622bd916d643f..5221e96e15e2f7405b23daa773580b7ec7054042 100644
--- a/manifests/batches/mathlib/001411.json
+++ b/manifests/batches/mathlib/001411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001411",
   "batch_fingerprint": "0b27b6a28abdc3ca1d8f69265f2a2d9eb75e7c80e715c992b3718a2fc041894b",
   "evidence": {
@@ -2442,29 +2441,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001411-0000-7cba2acd82293d8a.parquet",
-      "sha256": "7cba2acd82293d8a6bb73371cec5538fc24c0d573a6ad9e98dc99db46d8023b6",
-      "bytes": 161457,
-      "rows": 35,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001411-0000-e77d9d59480194ab.parquet",
-      "sha256": "e77d9d59480194ab0ce88b1cdc626eded247f1e19957846242aea00bd38dcf37",
-      "bytes": 60014,
-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001411-0000-28dc4675271b471f.parquet",
-      "sha256": "28dc4675271b471fef42b96278a8bed5d4d6ca64714e91ef3161dc5c834202ea",
-      "bytes": 32998,
-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AEMeasurable.exists_measurable_nonneg",
     "mathlib:AEMeasurable.map_map_of_aemeasurable",
@@ -2506,5 +2483,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/AEMeasurable.lean\",null,null,\"aemeasurable_restrict_iff_comap_subtype\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/AEMeasurable.lean\",null,null,\"aemeasurable_uIoc_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/AEMeasurable.lean\",null,null,\"aemeasurable_zero_measure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161457,
+      "path": "data/train/p64/mathlib-001411-0000-7cba2acd82293d8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7cba2acd82293d8a6bb73371cec5538fc24c0d573a6ad9e98dc99db46d8023b6"
+    },
+    {
+      "bytes": 60014,
+      "path": "data/dev/p64/mathlib-001411-0000-e77d9d59480194ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e77d9d59480194ab0ce88b1cdc626eded247f1e19957846242aea00bd38dcf37"
+    },
+    {
+      "bytes": 32998,
+      "path": "data/internal_test/p64/mathlib-001411-0000-28dc4675271b471f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "28dc4675271b471fef42b96278a8bed5d4d6ca64714e91ef3161dc5c834202ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001412.json b/manifests/batches/mathlib/001412.json
index 0bf59df96c485151b8ce25771a2ff7bb73743567..03c01186c7823b8e7404f46bb5b247c7bfde8ca6 100644
--- a/manifests/batches/mathlib/001412.json
+++ b/manifests/batches/mathlib/001412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001412",
   "batch_fingerprint": "1416514f627380459a7d4be9233b0fcaf39f04a965fc06efaefdeb4d54a3bd15",
   "evidence": {
@@ -788,19 +787,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001412-0000-f378477294d7ff64.parquet",
-      "sha256": "f378477294d7ff64d7a216fc61200b1cebeab8120c6303bb234265fb4743d902",
-      "bytes": 65610,
-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.le_addContent_diff"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/AddContent.lean\",null,null,\"MeasureTheory.le_addContent_diff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65610,
+      "path": "data/train/pd0/mathlib-001412-0000-f378477294d7ff64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f378477294d7ff64d7a216fc61200b1cebeab8120c6303bb234265fb4743d902"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001413.json b/manifests/batches/mathlib/001413.json
index 83bfc0326b02bc0fc0116a782c2531d3ef637362..b6545bead5f8b276cfa71e7fbdeade621601e14b 100644
--- a/manifests/batches/mathlib/001413.json
+++ b/manifests/batches/mathlib/001413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001413",
   "batch_fingerprint": "390430d1c7943284287d52e2e12b6682986e78f381a5461a996b2c0eb06f763d",
   "evidence": {
@@ -2034,22 +2033,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001413-0000-95fb9f2f17c4a0c4.parquet",
-      "sha256": "95fb9f2f17c4a0c427e6ba42f6f3274ee909047499f41d744ff03f0e0e5af72b",
-      "bytes": 152100,
-      "rows": 34,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001413-0000-044cef88bc367589.parquet",
-      "sha256": "044cef88bc367589ee7d9ae340c44996667749333381988d6024cea0b170280c",
-      "bytes": 60664,
-      "rows": 6,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Content.contentRegular_exists_compact",
     "mathlib:MeasureTheory.Content.empty",
@@ -2093,5 +2077,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Count.lean\",null,null,\"MeasureTheory.Measure.count_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Count.lean\",null,null,\"MeasureTheory.Measure.count_ne_zero'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Count.lean\",null,null,\"MeasureTheory.Measure.count_singleton'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152100,
+      "path": "data/train/p59/mathlib-001413-0000-95fb9f2f17c4a0c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "95fb9f2f17c4a0c427e6ba42f6f3274ee909047499f41d744ff03f0e0e5af72b"
+    },
+    {
+      "bytes": 60664,
+      "path": "data/internal_test/p59/mathlib-001413-0000-044cef88bc367589.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "044cef88bc367589ee7d9ae340c44996667749333381988d6024cea0b170280c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001414.json b/manifests/batches/mathlib/001414.json
index 2bcee5d8ad10187cc2a7c3747e1058bd095dcf1d..2b7869b86d4a04b3990984c4884a556e5c7993b4 100644
--- a/manifests/batches/mathlib/001414.json
+++ b/manifests/batches/mathlib/001414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001414",
   "batch_fingerprint": "df81ed6966b764bb07480bc020e71e8ba9e36bd409af79b7b735c42f1bf6d33e",
   "evidence": {
@@ -1344,29 +1343,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001414-0000-ed23f4e99f19b26e.parquet",
-      "sha256": "ed23f4e99f19b26ed54a1f7db06a4cf6ac07c569f805aec5ce2dece9453cc709",
-      "bytes": 107339,
-      "rows": 32,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001414-0000-045988d2cb3af4db.parquet",
-      "sha256": "045988d2cb3af4db903683648b85b2390ef1cbbe95c05ff02792fe3fb621b20f",
-      "bytes": 52242,
-      "rows": 5,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001414-0000-c36dba04596c0692.parquet",
-      "sha256": "c36dba04596c0692df73879608b0daeaf519d5fa0c714f41a135388af2e15f2d",
-      "bytes": 56707,
-      "rows": 5,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.dirac_apply_of_mem",
     "mathlib:MeasureTheory.Measure.map_dirac",
@@ -1402,5 +1379,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/DiracProba.lean\",null,null,\"MeasureTheory.injective_diracProba\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/DiracProba.lean\",null,null,\"MeasureTheory.injective_diracProba_of_T0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/DiracProba.lean\",null,null,\"MeasureTheory.tendsto_diracProbaEquivSymm_iff_tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107339,
+      "path": "data/train/pdf/mathlib-001414-0000-ed23f4e99f19b26e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "ed23f4e99f19b26ed54a1f7db06a4cf6ac07c569f805aec5ce2dece9453cc709"
+    },
+    {
+      "bytes": 52242,
+      "path": "data/dev/pdf/mathlib-001414-0000-045988d2cb3af4db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "045988d2cb3af4db903683648b85b2390ef1cbbe95c05ff02792fe3fb621b20f"
+    },
+    {
+      "bytes": 56707,
+      "path": "data/internal_test/pdf/mathlib-001414-0000-c36dba04596c0692.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c36dba04596c0692df73879608b0daeaf519d5fa0c714f41a135388af2e15f2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001415.json b/manifests/batches/mathlib/001415.json
index d48060f40ea1ab2f2da3966872820e41df26fe20..6b65aaa7a01a5b4cdaa5ee37ed962e6a78490a86 100644
--- a/manifests/batches/mathlib/001415.json
+++ b/manifests/batches/mathlib/001415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001415",
   "batch_fingerprint": "b9853f8c7f73740f9046521f5ee197595df80a8b7bb65fedcd5435990eb99782",
   "evidence": {
@@ -1604,29 +1603,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001415-0000-3f0c123a61aadab0.parquet",
-      "sha256": "3f0c123a61aadab0b00b1a5ec12f8458cbc1c8091b0b26d275673f329955019d",
-      "bytes": 102716,
-      "rows": 30,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001415-0000-4861a2df75ff23c7.parquet",
-      "sha256": "4861a2df75ff23c759b43c498bb801235bbe21311c025c877aea419a6e4b0c05",
-      "bytes": 45281,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001415-0000-64f7489e75da33a4.parquet",
-      "sha256": "64f7489e75da33a4752dcb2514917baf266a562595cb826ec6e851cca7df8e85",
-      "bytes": 60158,
-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsClosed.everywherePosSubset",
     "mathlib:IsCompact.everywherePosSubset",
@@ -1654,5 +1631,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/EverywherePos.lean\",null,null,\"MeasureTheory.Measure.everywherePosSubset_ae_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/EverywherePos.lean\",null,null,\"MeasureTheory.Measure.everywherePosSubset_ae_eq_of_measure_ne_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/EverywherePos.lean\",null,null,\"MeasureTheory.Measure.isEverywherePos_iff_of_forall_exists_nhds_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102716,
+      "path": "data/train/pac/mathlib-001415-0000-3f0c123a61aadab0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "3f0c123a61aadab0b00b1a5ec12f8458cbc1c8091b0b26d275673f329955019d"
+    },
+    {
+      "bytes": 45281,
+      "path": "data/dev/pac/mathlib-001415-0000-4861a2df75ff23c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4861a2df75ff23c759b43c498bb801235bbe21311c025c877aea419a6e4b0c05"
+    },
+    {
+      "bytes": 60158,
+      "path": "data/internal_test/pac/mathlib-001415-0000-64f7489e75da33a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "64f7489e75da33a4752dcb2514917baf266a562595cb826ec6e851cca7df8e85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001416.json b/manifests/batches/mathlib/001416.json
index d5834472e803eed3b7e303b87618bd2c2db5e1e5..e6675173b3a35a54b3b9600a0a8b88402cc152a7 100644
--- a/manifests/batches/mathlib/001416.json
+++ b/manifests/batches/mathlib/001416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001416",
   "batch_fingerprint": "ed6ef37f9808bc2e9a67f5ed15761be8cfe568fb8aab63e78dfdea2c6bb606a2",
   "evidence": {
@@ -1414,29 +1413,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001416-0000-9c169e3f7d6b8cf1.parquet",
-      "sha256": "9c169e3f7d6b8cf10ad52dd6ea6a5677ce3ce6730b2bd79d25abb0fb9fabd071",
-      "bytes": 324991,
-      "rows": 81,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001416-0000-f3752d90497fa215.parquet",
-      "sha256": "f3752d90497fa2152ed9a35836cded96cf7e5d06abc0b59927fe76f06bdc9370",
-      "bytes": 49715,
-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001416-0000-e00659eb76b0aeb0.parquet",
-      "sha256": "e00659eb76b0aeb073983e3addee801cf1ab78f01421f9aabbd8bec7baf88991",
-      "bytes": 90224,
-      "rows": 20,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.FiniteMeasure.apply_le_mass",
     "mathlib:MeasureTheory.FiniteMeasure.apply_mono",
@@ -1540,5 +1517,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/FiniteMeasureProd.lean\",null,null,\"MeasureTheory.ProbabilityMeasure.prod_apply_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/FiniteMeasureProd.lean\",null,null,\"MeasureTheory.ProbabilityMeasure.prod_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/FiniteMeasureProd.lean\",null,null,\"MeasureTheory.ProbabilityMeasure.prod_swap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324991,
+      "path": "data/train/p21/mathlib-001416-0000-9c169e3f7d6b8cf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "9c169e3f7d6b8cf10ad52dd6ea6a5677ce3ce6730b2bd79d25abb0fb9fabd071"
+    },
+    {
+      "bytes": 49715,
+      "path": "data/dev/p21/mathlib-001416-0000-f3752d90497fa215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f3752d90497fa2152ed9a35836cded96cf7e5d06abc0b59927fe76f06bdc9370"
+    },
+    {
+      "bytes": 90224,
+      "path": "data/internal_test/p21/mathlib-001416-0000-e00659eb76b0aeb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e00659eb76b0aeb073983e3addee801cf1ab78f01421f9aabbd8bec7baf88991"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001417.json b/manifests/batches/mathlib/001417.json
index 8d13bf2542c046983f640d4348509add47850370..0e5d6ed4f0b5ac9f3fac3b93790f9f5b6dadea0b 100644
--- a/manifests/batches/mathlib/001417.json
+++ b/manifests/batches/mathlib/001417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001417",
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   "evidence": {
@@ -2609,29 +2608,7 @@
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     "zero_transition_proofs": 0
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
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     "mathlib:MeasureTheory.Measure.bind_bind",
@@ -2709,5 +2686,28 @@
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+      "path": "data/train/pb4/mathlib-001417-0000-6a919636225a0e37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "6a919636225a0e37207bdf0afaf54570be188fb29905b6de7a76fc5f5741cbf4"
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001418.json b/manifests/batches/mathlib/001418.json
index a347c9ec0c9068e9ccf42aa4c20a96119117a849..3774aa185d52e2238149619c89da1b69016455ad 100644
--- a/manifests/batches/mathlib/001418.json
+++ b/manifests/batches/mathlib/001418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001418",
   "batch_fingerprint": "4fd07fce3b8da0d3789caf163effd5f5448d18be14392c304bb7a42bd4ebd7ef",
   "evidence": {
@@ -913,22 +912,7 @@
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     "zero_transition_proofs": 0
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-    {
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-      "rows": 20,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "rows": 6,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearIsometryEquiv.measurePreserving",
     "mathlib:MeasureTheory.ae_comp_linearMap_mem_iff",
@@ -946,5 +930,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 110930,
+      "path": "data/train/pc6/mathlib-001418-0000-544804266e9dc518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "544804266e9dc518bd1f87662dcfe9841f4a30a7b2541d2f42325dd01877aa07"
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+    {
+      "bytes": 80990,
+      "path": "data/internal_test/pc6/mathlib-001418-0000-bb2021edab4c301b.parquet",
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+      "rows": 6,
+      "sha256": "bb2021edab4c301b5bc66ab48fe8f00c032776eec891473c0fb1384e86fccd41"
+    }
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001419.json b/manifests/batches/mathlib/001419.json
index 466bad7e5b0bc840311d5772770ad8ad4b513f66..285f9cbac84aaddeb9eded516a70779f3e8f0465 100644
--- a/manifests/batches/mathlib/001419.json
+++ b/manifests/batches/mathlib/001419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001419",
   "batch_fingerprint": "c2d5592bb0d89a3df2dbde75e540d7dceb48d3eeeb7314a7ac71a006640346c3",
   "evidence": {
@@ -1699,29 +1698,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001419-0000-0a6bf49e339a93f2.parquet",
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-    {
-      "path": "data/dev/mathlib-001419-0000-f70ea899f4a04abb.parquet",
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-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.addHaar_eq_iff",
     "mathlib:Basis.addHaar_reindex",
@@ -1757,5 +1734,28 @@
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+      "path": "data/train/p1c/mathlib-001419-0000-0a6bf49e339a93f2.parquet",
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+      "sha256": "0a6bf49e339a93f2dc182671e955c1d720612b3411fd999969d5575c78e02ad2"
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+    {
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001420.json b/manifests/batches/mathlib/001420.json
index 8624b57aa900362d3d8a99d2fc4529349fe7024f..6121582ef470fbc6ec6056071de123b466b10405 100644
--- a/manifests/batches/mathlib/001420.json
+++ b/manifests/batches/mathlib/001420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
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   "batch_fingerprint": "26ea9f5a484baa84eabf65166436e5c9d88b57b27ed0f986a897569bff88cd5e",
   "evidence": {
@@ -4673,22 +4672,7 @@
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-  "shards": [
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-      "sha256": "0d7e07ac576d35b45c30e417f89394ddc6fcf69199f57e70d16bb38fa05f4a98",
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-      "rows": 21,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.absolutelyContinuous_isHaarMeasure",
     "mathlib:MeasureTheory.Measure.haarScalarFactor_eq_integral_div",
@@ -4706,5 +4690,21 @@
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+      "path": "data/train/p27/mathlib-001420-0000-0d7e07ac576d35b4.parquet",
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+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ebd2125d9aa80a011b96392a6254cbf95e6d9d906c06e331a538b5b8d23cfbec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001421.json b/manifests/batches/mathlib/001421.json
index 9fdf92fb5c919f7d6fd4aacc52510a17d45ce245..9b228ab55b857691d249617e42c44625e0f87fd5 100644
--- a/manifests/batches/mathlib/001421.json
+++ b/manifests/batches/mathlib/001421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001421",
   "batch_fingerprint": "72c969ecc6ed5b37a0e78c076be1e71bb620613c251712308094e71d9b74f1d9",
   "evidence": {
@@ -4232,29 +4231,7 @@
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
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     "mathlib:Isometry.map_hausdorffMeasure",
@@ -4322,5 +4299,28 @@
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+  ],
+  "shards": [
+    {
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+      "path": "data/train/p4c/mathlib-001421-0000-2e25d9134dc75c2f.parquet",
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+      "sha256": "2e25d9134dc75c2f62f4fc4facd5913ec126f1703790e8f0576f1cee026a8282"
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+    {
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+      "path": "data/dev/p4c/mathlib-001421-0000-f4398d24e1dc17b2.parquet",
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+      "rows": 10,
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+    {
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+      "sha256": "5820d85622d65a3a53af92aeed0667b867fbf71773cf32de68b35996d1733e94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001422.json b/manifests/batches/mathlib/001422.json
index a7ecb2ae6c9e14ef4624da2de9981998dd5c0601..710177533013987ce1d4f7e7ff4a3fd3f69f0d12 100644
--- a/manifests/batches/mathlib/001422.json
+++ b/manifests/batches/mathlib/001422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001422",
   "batch_fingerprint": "4fbe777f40be3559bfee7cb08137421b46ffa322750a5e43a0cf9ff984757a60",
   "evidence": {
@@ -1982,29 +1981,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "rows": 5,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.volume_preserving_equiv_pi",
     "mathlib:Filter.Eventually.volume_pos_of_nhds_real",
@@ -2074,5 +2051,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 134196,
+      "path": "data/train/p5e/mathlib-001422-0000-4d24aba9544b9365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "4d24aba9544b93650441b718b4c84332c7c42f75952ce0ef83fbb0903988196e"
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+    {
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+      "sha256": "a40b459eadfd3a71a87be6e90e395c3a2b62ccebab38fb601814280f7e8ff2a9"
+    }
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-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001423.json b/manifests/batches/mathlib/001423.json
index aff6a7ea069d3490303c20f66c210b24cbb1b9a5..8c1ceeed2ca8d3e74be01965c2b5f2c884c4483f 100644
--- a/manifests/batches/mathlib/001423.json
+++ b/manifests/batches/mathlib/001423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001423",
   "batch_fingerprint": "997e3d481014bf94e16fbf076aabfe5c4fe5fe0af3cc79b1492eec328c21dbef",
   "evidence": {
@@ -3883,22 +3882,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001423-0000-22674e35454a9958.parquet",
-      "sha256": "22674e35454a9958f0953bb7cddd632631b3d71451282af88a832f9ace022bb8",
-      "bytes": 146116,
-      "rows": 24,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001423-0000-5eb12797c725f8da.parquet",
-      "sha256": "5eb12797c725f8da054685ccb2815e7423bf0956b32b096edadb8d458148ca53",
-      "bytes": 68625,
-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlternatingMap.measure_parallelepiped",
     "mathlib:Basis.map_addHaar",
@@ -3932,5 +3916,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean\",null,null,\"MeasureTheory.addHaarMeasure_eq_volume\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean\",null,null,\"MeasureTheory.addHaarMeasure_eq_volume_pi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Lebesgue/Integral.lean\",null,null,\"integral_comp_neg_Ioi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146116,
+      "path": "data/train/p88/mathlib-001423-0000-22674e35454a9958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "22674e35454a9958f0953bb7cddd632631b3d71451282af88a832f9ace022bb8"
+    },
+    {
+      "bytes": 68625,
+      "path": "data/internal_test/p88/mathlib-001423-0000-5eb12797c725f8da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5eb12797c725f8da054685ccb2815e7423bf0956b32b096edadb8d458148ca53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001424.json b/manifests/batches/mathlib/001424.json
index 19a77a27e13fce7760def6cde7dc56814a7cfb94..62e61a1387ce9dd0861a2f5df085c74822886007 100644
--- a/manifests/batches/mathlib/001424.json
+++ b/manifests/batches/mathlib/001424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001424",
   "batch_fingerprint": "2d0699472cb7f14aabf1c6013bbee9b78adafcd26108fc9496e323051bb3f810",
   "evidence": {
@@ -4691,22 +4690,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001424-0000-b169aa276a6599e0.parquet",
-      "sha256": "b169aa276a6599e0a63c0cc9ccef516bc602b6e2a3d40f1b021e43ce5d4533e7",
-      "bytes": 105023,
-      "rows": 24,
-      "revision": "658461d6b56593c447ffa4a846fb862d923808e8"
-    },
-    {
-      "path": "data/dev/mathlib-001424-0000-56dfa887598a8add.parquet",
-      "sha256": "56dfa887598a8adde6ada6a70c63e1b41b5e778261a7d9451d95379a50cb0cb9",
-      "bytes": 66233,
-      "rows": 2,
-      "revision": "658461d6b56593c447ffa4a846fb862d923808e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.left_measure_le_of_levyProkhorovEDist_lt",
     "mathlib:MeasureTheory.levyProkhorovDist_comm",
@@ -4728,5 +4712,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean\",null,null,\"MeasureTheory.levyProkhorovEDist_lt_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean\",null,null,\"MeasureTheory.levyProkhorovEDist_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean\",null,null,\"MeasureTheory.right_measure_le_of_levyProkhorovEDist_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105023,
+      "path": "data/train/p77/mathlib-001424-0000-b169aa276a6599e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b169aa276a6599e0a63c0cc9ccef516bc602b6e2a3d40f1b021e43ce5d4533e7"
+    },
+    {
+      "bytes": 66233,
+      "path": "data/dev/p77/mathlib-001424-0000-56dfa887598a8add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "56dfa887598a8adde6ada6a70c63e1b41b5e778261a7d9451d95379a50cb0cb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001425.json b/manifests/batches/mathlib/001425.json
index 797f458a7d413590678ef01c1e91cf8f4db2520d..604d6fdcb306db8352af0c3b48be2577e4d0929d 100644
--- a/manifests/batches/mathlib/001425.json
+++ b/manifests/batches/mathlib/001425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001425",
   "batch_fingerprint": "8d18cfb33af95cd13dff1f38b3195decd682b3236c08bedf143f525ed0ff6074",
   "evidence": {
@@ -6984,29 +6983,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001425-0000-0cd956ab98dadbf7.parquet",
-      "sha256": "0cd956ab98dadbf78c551973e25b468cb6e0d7c62aa35f33304de8aec2f200ac",
-      "bytes": 649546,
-      "rows": 174,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001425-0000-ba9e59de99dfe4c8.parquet",
-      "sha256": "ba9e59de99dfe4c80d8a2819d271763df934bc77cef5847ac8636ce287068b4c",
-      "bytes": 89048,
-      "rows": 12,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001425-0000-cef9c1905d366798.parquet",
-      "sha256": "cef9c1905d36679847147c2ed86787e8efdee18af34871b74d1157b32eaf6608",
-      "bytes": 89063,
-      "rows": 18,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableEmbedding.comap_add",
     "mathlib:MeasurableEquiv.comap_symm",
@@ -7234,5 +7211,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/MeasureSpace.lean\",null,null,\"MeasureTheory.tsum_measure_le_measure_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/MeasureSpace.lean\",null,null,\"MeasureTheory.tsum_measure_preimage_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/MeasureSpace.lean\",null,null,\"MeasureTheory.union_ae_eq_right_iff_ae_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649546,
+      "path": "data/train/p67/mathlib-001425-0000-0cd956ab98dadbf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 174,
+      "sha256": "0cd956ab98dadbf78c551973e25b468cb6e0d7c62aa35f33304de8aec2f200ac"
+    },
+    {
+      "bytes": 89048,
+      "path": "data/dev/p67/mathlib-001425-0000-ba9e59de99dfe4c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ba9e59de99dfe4c80d8a2819d271763df934bc77cef5847ac8636ce287068b4c"
+    },
+    {
+      "bytes": 89063,
+      "path": "data/internal_test/p67/mathlib-001425-0000-cef9c1905d366798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cef9c1905d36679847147c2ed86787e8efdee18af34871b74d1157b32eaf6608"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001426.json b/manifests/batches/mathlib/001426.json
index 2e7e7cdefad331231a420246d9ef3d7ddc8ef533..8dd7d32495038e1f09e73c0de0ff43ad842c12ad 100644
--- a/manifests/batches/mathlib/001426.json
+++ b/manifests/batches/mathlib/001426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001426",
   "batch_fingerprint": "4c731f6d0335ab0f99408b09b5043aece39fa3f7a61626cbffed4451c96f8118",
   "evidence": {
@@ -1406,22 +1405,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001426-0000-47aa1fb0e144cdb2.parquet",
-      "sha256": "47aa1fb0e144cdb261f4d84d18de3e8b7239c69078dd3777dbca3ed8c7b50cc0",
-      "bytes": 104001,
-      "rows": 32,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001426-0000-c6b59c857283cb8c.parquet",
-      "sha256": "c6b59c857283cb8cb27df7e27fc721dd9c7d7d90250fd3e10dc4a35a27645f66",
-      "bytes": 46089,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableSpace.ae_induction_on_inter",
     "mathlib:MeasureTheory.Measure.MutuallySingular.add_left_iff",
@@ -1469,5 +1453,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/MutuallySingular.lean\",null,null,\"MeasureTheory.Measure.eq_zero_of_absolutelyContinuous_of_mutuallySingular\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104001,
+      "path": "data/train/p02/mathlib-001426-0000-47aa1fb0e144cdb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "47aa1fb0e144cdb261f4d84d18de3e8b7239c69078dd3777dbca3ed8c7b50cc0"
+    },
+    {
+      "bytes": 46089,
+      "path": "data/internal_test/p02/mathlib-001426-0000-c6b59c857283cb8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c6b59c857283cb8cb27df7e27fc721dd9c7d7d90250fd3e10dc4a35a27645f66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001427.json b/manifests/batches/mathlib/001427.json
index 58c13657120848db99248c367c148acf42329ae7..bc2b339edb66874828655072575211b9f8a2b8b2 100644
--- a/manifests/batches/mathlib/001427.json
+++ b/manifests/batches/mathlib/001427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001427",
   "batch_fingerprint": "598721a5ba0cfaa9925a62e558807307e18b3c1be764f6d130173d8fd75d0e0b",
   "evidence": {
@@ -1968,22 +1967,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001427-0000-a4b6dbd4b0bca4dc.parquet",
-      "sha256": "a4b6dbd4b0bca4dc5b7f47c74cc6e8517ccc9bd9e54fb8ed876d0c1306940245",
-      "bytes": 106941,
-      "rows": 24,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001427-0000-8186d7a2bc2297f8.parquet",
-      "sha256": "8186d7a2bc2297f82f090fd9c23a82ee7f17730646f82d8bfef2071a7c81cac8",
-      "bytes": 61528,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.isOpenPosMeasure_map",
     "mathlib:Finset.nullMeasurableSet",
@@ -2021,5 +2005,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/OpenPos.lean\",null,null,\"IsOpen.measure_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/OpenPos.lean\",null,null,\"IsOpen.measure_zero_iff_eq_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/OpenPos.lean\",null,null,\"Metric.measure_closedBall_pos_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106941,
+      "path": "data/train/pd4/mathlib-001427-0000-a4b6dbd4b0bca4dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a4b6dbd4b0bca4dc5b7f47c74cc6e8517ccc9bd9e54fb8ed876d0c1306940245"
+    },
+    {
+      "bytes": 61528,
+      "path": "data/internal_test/pd4/mathlib-001427-0000-8186d7a2bc2297f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8186d7a2bc2297f82f090fd9c23a82ee7f17730646f82d8bfef2071a7c81cac8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001428.json b/manifests/batches/mathlib/001428.json
index 4452d659cf856a8f3334a2d1b586b0821520e10c..9754bb761e11b18c0f75ff606ae971647901263e 100644
--- a/manifests/batches/mathlib/001428.json
+++ b/manifests/batches/mathlib/001428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001428",
   "batch_fingerprint": "0972e67d558d296c23e0fd3f9076bd6b130d99f5ba54d99d3c1e1a9d71e43ca7",
   "evidence": {
@@ -2707,29 +2706,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001428-0000-5b68cce54b79f88b.parquet",
-      "sha256": "5b68cce54b79f88b74321d8128e7b95fb7ff6e44d4e1102e81d768f4dcd0ba7a",
-      "bytes": 154213,
-      "rows": 35,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001428-0000-4d361c658bf05b93.parquet",
-      "sha256": "4d361c658bf05b937420c110eea8088f43ab40e6f0d8013eecb07cd3814da8dc",
-      "bytes": 42407,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001428-0000-75832a06a0cb803f.parquet",
-      "sha256": "75832a06a0cb803fc5a9e2a0aad5a837b507a6dacb1139c2a9830e1e42833b2d",
-      "bytes": 88686,
-      "rows": 8,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.FiniteMeasure.average_eq_integral_normalize",
     "mathlib:MeasureTheory.FiniteMeasure.normalize_eq_inv_mass_smul_of_nonzero",
@@ -2777,5 +2754,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 154213,
+      "path": "data/train/p97/mathlib-001428-0000-5b68cce54b79f88b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "5b68cce54b79f88b74321d8128e7b95fb7ff6e44d4e1102e81d768f4dcd0ba7a"
+    },
+    {
+      "bytes": 42407,
+      "path": "data/dev/p97/mathlib-001428-0000-4d361c658bf05b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4d361c658bf05b937420c110eea8088f43ab40e6f0d8013eecb07cd3814da8dc"
+    },
+    {
+      "bytes": 88686,
+      "path": "data/internal_test/p97/mathlib-001428-0000-75832a06a0cb803f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "75832a06a0cb803fc5a9e2a0aad5a837b507a6dacb1139c2a9830e1e42833b2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001429.json b/manifests/batches/mathlib/001429.json
index 9b12b33fc434a183abd6e4db1cccf0681a8b9540..f9e577061f41743bcf69221d9a87d2e4a19d2fa2 100644
--- a/manifests/batches/mathlib/001429.json
+++ b/manifests/batches/mathlib/001429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001429",
   "batch_fingerprint": "c29daf7967dd2f2b1384862d0202963d14373016ec5b3cbb165b495c8d525313",
   "evidence": {
@@ -4652,29 +4651,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001429-0000-726fe79b5a1d1497.parquet",
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-      "rows": 161,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-      "path": "data/dev/mathlib-001429-0000-4f3caac024a4ede5.parquet",
-      "sha256": "4f3caac024a4ede5a333e779c742951c25dc07aa3c71965f2a92f8603fabf588",
-      "bytes": 49519,
-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001429-0000-83dca19d5ccb815f.parquet",
-      "sha256": "83dca19d5ccb815f1951359a36e1dbe8e24a1f05193e284818a005fb6b2d2684",
-      "bytes": 75434,
-      "rows": 12,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCompact.exists_isOpen_lt_of_lt",
     "mathlib:MeasurableEmbedding.ae_map_iff",
@@ -4862,5 +4839,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Restrict.lean\",null,null,\"volume_preimage_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 603363,
+      "path": "data/train/p8a/mathlib-001429-0000-726fe79b5a1d1497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 161,
+      "sha256": "726fe79b5a1d14971aa2caeafa76802fac77135d77f619874648ca620e4f6f02"
+    },
+    {
+      "bytes": 49519,
+      "path": "data/dev/p8a/mathlib-001429-0000-4f3caac024a4ede5.parquet",
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+      "rows": 2,
+      "sha256": "4f3caac024a4ede5a333e779c742951c25dc07aa3c71965f2a92f8603fabf588"
+    },
+    {
+      "bytes": 75434,
+      "path": "data/internal_test/p8a/mathlib-001429-0000-83dca19d5ccb815f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "83dca19d5ccb815f1951359a36e1dbe8e24a1f05193e284818a005fb6b2d2684"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001430.json b/manifests/batches/mathlib/001430.json
index 4e93827425d967926f31cf0b736047231cf05679..2589c9772dfb92985ffbd9d40b0002b9506281bd 100644
--- a/manifests/batches/mathlib/001430.json
+++ b/manifests/batches/mathlib/001430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001430",
   "batch_fingerprint": "6f39f1a2532d87b94feffaadbeaea0584c20aaa08f64492259b1bb8d8ce71a81",
   "evidence": {
@@ -2703,22 +2702,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001430-0000-671ed4d183b42975.parquet",
-      "sha256": "671ed4d183b429759a5d2b45c89b3cf878e2e85c49076f8c679cf538d13d65a4",
-      "bytes": 121988,
-      "rows": 34,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001430-0000-118ddce613111dcd.parquet",
-      "sha256": "118ddce613111dcd1376fc1fcda68725015b9f53403a4931824d0bcb6c7f96ba",
-      "bytes": 51041,
-      "rows": 6,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.sub_add_cancel_of_le",
     "mathlib:MeasureTheory.Measure.sub_apply_eq_zero_of_restrict_le_restrict",
@@ -2756,5 +2740,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Sub.lean\",null,null,\"MeasureTheory.Measure.sub_add_cancel_of_le\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 121988,
+      "path": "data/train/p50/mathlib-001430-0000-671ed4d183b42975.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "671ed4d183b429759a5d2b45c89b3cf878e2e85c49076f8c679cf538d13d65a4"
+    },
+    {
+      "bytes": 51041,
+      "path": "data/dev/p50/mathlib-001430-0000-118ddce613111dcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "118ddce613111dcd1376fc1fcda68725015b9f53403a4931824d0bcb6c7f96ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001431.json b/manifests/batches/mathlib/001431.json
index bd291493f0fa4a7a4c6e93c4306bb19fc2569963..b44184b58e978ab10eabdaa5dc63fe7fa5d12f47 100644
--- a/manifests/batches/mathlib/001431.json
+++ b/manifests/batches/mathlib/001431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001431",
   "batch_fingerprint": "75ee7a5e4d6be2f163fefd80b67ad30aa3def1a4ec3213a5c6ffc3883ade13c3",
   "evidence": {
@@ -1814,29 +1813,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001431-0000-b9dd0204674a44c5.parquet",
-      "sha256": "b9dd0204674a44c5a656234bf9a0ce6dbdd39b1d83c931040ea8b29dabff0238",
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-      "rows": 22,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-    {
-      "path": "data/dev/mathlib-001431-0000-991f3ae1e551ca6d.parquet",
-      "sha256": "991f3ae1e551ca6d0270efad4f452221e51b2ab1729f3bb77b43173e995f1186",
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-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001431-0000-9b49f7ed86db2e65.parquet",
-      "sha256": "9b49f7ed86db2e6555e168988ca51eae9ad987adb85a8024ec45aac98057cee2",
-      "bytes": 56560,
-      "rows": 7,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.AbsolutelyContinuous.trim",
     "mathlib:MeasureTheory.integral_tilted",
@@ -1882,5 +1859,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Trim.lean\",null,null,\"MeasureTheory.trim_measurableSet_eq\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/Trim.lean\",null,null,\"MeasureTheory.zero_trim\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74236,
+      "path": "data/train/pcf/mathlib-001431-0000-b9dd0204674a44c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b9dd0204674a44c5a656234bf9a0ce6dbdd39b1d83c931040ea8b29dabff0238"
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+    {
+      "bytes": 40000,
+      "path": "data/dev/pcf/mathlib-001431-0000-991f3ae1e551ca6d.parquet",
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+      "sha256": "991f3ae1e551ca6d0270efad4f452221e51b2ab1729f3bb77b43173e995f1186"
+    },
+    {
+      "bytes": 56560,
+      "path": "data/internal_test/pcf/mathlib-001431-0000-9b49f7ed86db2e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9b49f7ed86db2e6555e168988ca51eae9ad987adb85a8024ec45aac98057cee2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001432.json b/manifests/batches/mathlib/001432.json
index a159b5428c5fae4124cbf0c7d9413bb3e13f387b..bd282c7db0ceaf28bbb8dd9b5f4a413a55b003dd 100644
--- a/manifests/batches/mathlib/001432.json
+++ b/manifests/batches/mathlib/001432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001432",
   "batch_fingerprint": "f3369aa7681248c8aefc45f839eefa404e11e8847027458d23554e6ae36e6311",
   "evidence": {
@@ -7593,29 +7592,7 @@
     "validation_rejected_proofs": 22,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001432-0000-8454b9511d1ae946.parquet",
-      "sha256": "8454b9511d1ae946af040df7d9cb3477efbd0e04de76eac5a455cba38ef0065e",
-      "bytes": 425799,
-      "rows": 122,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001432-0000-95d453cc052e58b5.parquet",
-      "sha256": "95d453cc052e58b59b67fc96e2065bd13555a5c0ecbb5318dc4aeb97ab63372e",
-      "bytes": 75211,
-      "rows": 14,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001432-0000-b0ece4547d1f5da5.parquet",
-      "sha256": "b0ece4547d1f5da56bdf8134c213706460dfdd25ef0f0e94dfb2048b1cc811c0",
-      "bytes": 104523,
-      "rows": 26,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCompact.measure_lt_top_of_nhdsWithin",
     "mathlib:IsCompact.measure_zero_of_nhdsWithin",
@@ -7777,5 +7754,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 425799,
+      "path": "data/train/pf5/mathlib-001432-0000-8454b9511d1ae946.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "8454b9511d1ae946af040df7d9cb3477efbd0e04de76eac5a455cba38ef0065e"
+    },
+    {
+      "bytes": 75211,
+      "path": "data/dev/pf5/mathlib-001432-0000-95d453cc052e58b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "95d453cc052e58b59b67fc96e2065bd13555a5c0ecbb5318dc4aeb97ab63372e"
+    },
+    {
+      "bytes": 104523,
+      "path": "data/internal_test/pf5/mathlib-001432-0000-b0ece4547d1f5da5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b0ece4547d1f5da56bdf8134c213706460dfdd25ef0f0e94dfb2048b1cc811c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001433.json b/manifests/batches/mathlib/001433.json
index e9d63f978f6992712aacda25dabe0389ab3ff115..c775ec041da406be4f2faaa2718e710fc1316bf5 100644
--- a/manifests/batches/mathlib/001433.json
+++ b/manifests/batches/mathlib/001433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001433",
   "batch_fingerprint": "696861dbb25cadf23df004be3e830774432eb5d135d63b24e015862c9d795740",
   "evidence": {
@@ -3571,29 +3570,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001433-0000-58425a9915ea1732.parquet",
-      "sha256": "58425a9915ea1732fd0fd936b85cc52081d2653a45f3ca97647fc8db00034529",
-      "bytes": 291186,
-      "rows": 93,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001433-0000-f18965150df6b446.parquet",
-      "sha256": "f18965150df6b44620b9df8630425fa4411f9e16e0873aa7ac7865c68bb95da0",
-      "bytes": 57867,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001433-0000-58bc7d68f367a8ab.parquet",
-      "sha256": "58bc7d68f367a8ab39da115eef1dc5ffbb85ce5e382e61611a24d79f5bd59a07",
-      "bytes": 71429,
-      "rows": 12,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.IsLocallyFiniteMeasure.withDensity_coe",
     "mathlib:MeasureTheory.SigmaFinite.withDensity_of_ne_top'",
@@ -3685,5 +3662,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 291186,
+      "path": "data/train/p54/mathlib-001433-0000-58425a9915ea1732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 93,
+      "sha256": "58425a9915ea1732fd0fd936b85cc52081d2653a45f3ca97647fc8db00034529"
+    },
+    {
+      "bytes": 57867,
+      "path": "data/dev/p54/mathlib-001433-0000-f18965150df6b446.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f18965150df6b44620b9df8630425fa4411f9e16e0873aa7ac7865c68bb95da0"
+    },
+    {
+      "bytes": 71429,
+      "path": "data/internal_test/p54/mathlib-001433-0000-58bc7d68f367a8ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "58bc7d68f367a8ab39da115eef1dc5ffbb85ce5e382e61611a24d79f5bd59a07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001434.json b/manifests/batches/mathlib/001434.json
index 60abe0cb8ad154c450790ccef6f99ea93be48c1e..fae772feb67d911fd8ca0d5b2a0b828761a48c20 100644
--- a/manifests/batches/mathlib/001434.json
+++ b/manifests/batches/mathlib/001434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001434",
   "batch_fingerprint": "ece1dc1437765c30ec773bbff2291d484c13c4632574ca422eedd9127b3442e8",
   "evidence": {
@@ -678,29 +677,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001434-0000-c6b22e22fcd7e2a9.parquet",
-      "sha256": "c6b22e22fcd7e2a98119d3cfb2fe06234b78e25391860c79c84650752b32af35",
-      "bytes": 104657,
-      "rows": 21,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001434-0000-d0a5ba79b2326d9a.parquet",
-      "sha256": "d0a5ba79b2326d9a97f1cd3fc1319673acf09b1cb2b016754e938c8a7aea47f9",
-      "bytes": 68089,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001434-0000-d1bb333da68d7ece.parquet",
-      "sha256": "d1bb333da68d7ece0dda551c6396e1b4133872f1cbcc20dd44827a920f80c64f",
-      "bytes": 50272,
-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Integrable.ae_eq_of_withDensity\u1d65_eq",
     "mathlib:MeasureTheory.Integrable.withDensity\u1d65_trim_eq_integral",
@@ -722,5 +699,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Measure/WithDensityVectorMeasure.lean\",null,null,\"MeasureTheory.withDensity\u1d65_sub\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 104657,
+      "path": "data/train/pb8/mathlib-001434-0000-c6b22e22fcd7e2a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c6b22e22fcd7e2a98119d3cfb2fe06234b78e25391860c79c84650752b32af35"
+    },
+    {
+      "bytes": 68089,
+      "path": "data/dev/pb8/mathlib-001434-0000-d0a5ba79b2326d9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "d0a5ba79b2326d9a97f1cd3fc1319673acf09b1cb2b016754e938c8a7aea47f9"
+    },
+    {
+      "bytes": 50272,
+      "path": "data/internal_test/pb8/mathlib-001434-0000-d1bb333da68d7ece.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d1bb333da68d7ece0dda551c6396e1b4133872f1cbcc20dd44827a920f80c64f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001435.json b/manifests/batches/mathlib/001435.json
index a22f15c35ee07b971c563a9fd181026bb90bdcba..c57f9a5a1e7b90cb1c2fe76a558b8a733482db36 100644
--- a/manifests/batches/mathlib/001435.json
+++ b/manifests/batches/mathlib/001435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001435",
   "batch_fingerprint": "10e48c5f8a4e756cf4b086c291d2ccce994b26956dab84589527f893e6274471",
   "evidence": {
@@ -844,15 +843,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001435-0000-c77f97cf0fad439e.parquet",
-      "sha256": "c77f97cf0fad439eeaf00501ae30265ca2f9357f5d77ffd85801437da7b17e31",
-      "bytes": 70543,
-      "rows": 11,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.measurable_range_sup'",
     "mathlib:Finset.measurable_range_sup''",
@@ -864,5 +855,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Order/Lattice.lean\",null,null,\"Finset.measurable_range_sup''\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Order/UpperLower.lean\",null,null,\"IsAntichain.volume_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/Order/UpperLower.lean\",null,null,\"Set.OrdConnected.null_frontier\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70543,
+      "path": "data/train/p44/mathlib-001435-0000-c77f97cf0fad439e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c77f97cf0fad439eeaf00501ae30265ca2f9357f5d77ffd85801437da7b17e31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001436.json b/manifests/batches/mathlib/001436.json
index d3dcef16380bcf077007ac361c261d17759d18e5..cd0c18cab9a5854f56659b916d21da5aa7e98e98 100644
--- a/manifests/batches/mathlib/001436.json
+++ b/manifests/batches/mathlib/001436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001436",
   "batch_fingerprint": "3d34ede2a380d8fef11bb55cc382daa98a56aaa1a9c378f54f56fe7351431329",
   "evidence": {
@@ -1265,29 +1264,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001436-0000-18814f4577102312.parquet",
-      "sha256": "18814f457710231248bb50569809254a60198e1fc289a32427bdbd2a50d0b44a",
-      "bytes": 166483,
-      "rows": 49,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001436-0000-94bf122ee6c6c9d4.parquet",
-      "sha256": "94bf122ee6c6c9d4eac3cfa8a993c0aa48b37800c043527a8ac95ca63804af6f",
-      "bytes": 39180,
-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001436-0000-82002a40e0a5f3cc.parquet",
-      "sha256": "82002a40e0a5f3cc8cf1b00cb88e0a7ef3a0db560950faa1e329cb1d333dd055",
-      "bytes": 55315,
-      "rows": 3,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.OuterMeasure.ext_nonempty",
     "mathlib:MeasureTheory.OuterMeasure.mono'",
@@ -1357,5 +1334,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/OuterMeasure/Basic.lean\",null,null,\"MeasureTheory.measure_sUnion_null_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/OuterMeasure/Basic.lean\",null,null,\"MeasureTheory.measure_union_null\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 166483,
+      "path": "data/train/pa1/mathlib-001436-0000-18814f4577102312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "18814f457710231248bb50569809254a60198e1fc289a32427bdbd2a50d0b44a"
+    },
+    {
+      "bytes": 39180,
+      "path": "data/dev/pa1/mathlib-001436-0000-94bf122ee6c6c9d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "94bf122ee6c6c9d4eac3cfa8a993c0aa48b37800c043527a8ac95ca63804af6f"
+    },
+    {
+      "bytes": 55315,
+      "path": "data/internal_test/pa1/mathlib-001436-0000-82002a40e0a5f3cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "82002a40e0a5f3cc8cf1b00cb88e0a7ef3a0db560950faa1e329cb1d333dd055"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001437.json b/manifests/batches/mathlib/001437.json
index 48f47f8470b7ec30e29bc6f8ec8a40bd975e9a94..ba453b909c640d4e1208986d5a05b3079f5a719e 100644
--- a/manifests/batches/mathlib/001437.json
+++ b/manifests/batches/mathlib/001437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001437",
   "batch_fingerprint": "b8bfa46ec68dcda6f30634ef770399d0fbbce5b47afa908abedeee82add3232e",
   "evidence": {
@@ -677,29 +676,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001437-0000-f8159e12c59b1bcf.parquet",
-      "sha256": "f8159e12c59b1bcf9b53b4e3cfd287b823ce91e455bb22267c8d8d88b0229fd2",
-      "bytes": 63842,
-      "rows": 14,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001437-0000-da7ae95bd02c9f77.parquet",
-      "sha256": "da7ae95bd02c9f77d61b105fc78fc9c1d0d4bf41a8b8b7b3d5998e1c877ec9d2",
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-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001437-0000-3b8c6b363a3e11b9.parquet",
-      "sha256": "3b8c6b363a3e11b987ff7685474f89c8d49121c38a52d880371a29a3b74b079c",
-      "bytes": 52765,
-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.OuterMeasure.f_iUnion",
     "mathlib:MeasureTheory.OuterMeasure.isCaratheodory_compl",
@@ -723,5 +700,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean\",null,null,\"MeasureTheory.OuterMeasure.le_smul_caratheodory\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 63842,
+      "path": "data/train/p8d/mathlib-001437-0000-f8159e12c59b1bcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f8159e12c59b1bcf9b53b4e3cfd287b823ce91e455bb22267c8d8d88b0229fd2"
+    },
+    {
+      "bytes": 53786,
+      "path": "data/dev/p8d/mathlib-001437-0000-da7ae95bd02c9f77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "da7ae95bd02c9f77d61b105fc78fc9c1d0d4bf41a8b8b7b3d5998e1c877ec9d2"
+    },
+    {
+      "bytes": 52765,
+      "path": "data/internal_test/p8d/mathlib-001437-0000-3b8c6b363a3e11b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3b8c6b363a3e11b987ff7685474f89c8d49121c38a52d880371a29a3b74b079c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001438.json b/manifests/batches/mathlib/001438.json
index 2a5ed5ad9d396266020d11c49fba4717fbbdb363..329825a24d95fd5513b779557eae672754af5923 100644
--- a/manifests/batches/mathlib/001438.json
+++ b/manifests/batches/mathlib/001438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001438",
   "batch_fingerprint": "0b8fca102fd550c4c7033f5f6e70e6254dbad36eac7a3d5ccad35683e8d85bd5",
   "evidence": {
@@ -2349,29 +2348,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001438-0000-f5e9e5b083383ac1.parquet",
-      "sha256": "f5e9e5b083383ac13c9b026e8ed82bcbee8f147101bffa55cfe8ff21611b1ac2",
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-      "rows": 90,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001438-0000-1ceb9b4122e583ba.parquet",
-      "sha256": "1ceb9b4122e583ba93d8f605ada1c3e101c58f126a4eefd32570053f517f8b46",
-      "bytes": 59288,
-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001438-0000-e9cd586b35d3cf09.parquet",
-      "sha256": "e9cd586b35d3cf09b1aae25f07770caa949969d746a0f08f3c18bb80eedebad8",
-      "bytes": 70933,
-      "rows": 15,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.OuterMeasure.biInf_apply",
     "mathlib:MeasureTheory.OuterMeasure.biInf_apply'",
@@ -2457,5 +2434,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean\",null,null,\"MeasureTheory.OuterMeasure.sInf_apply\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 320945,
+      "path": "data/train/p58/mathlib-001438-0000-f5e9e5b083383ac1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 90,
+      "sha256": "f5e9e5b083383ac13c9b026e8ed82bcbee8f147101bffa55cfe8ff21611b1ac2"
+    },
+    {
+      "bytes": 59288,
+      "path": "data/dev/p58/mathlib-001438-0000-1ceb9b4122e583ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1ceb9b4122e583ba93d8f605ada1c3e101c58f126a4eefd32570053f517f8b46"
+    },
+    {
+      "bytes": 70933,
+      "path": "data/internal_test/p58/mathlib-001438-0000-e9cd586b35d3cf09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e9cd586b35d3cf09b1aae25f07770caa949969d746a0f08f3c18bb80eedebad8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001439.json b/manifests/batches/mathlib/001439.json
index ab27c249fda9018bfb97951119ae7ce5bbc65199..fd23beb6306e027a03b9321c1fa889e710c382c4 100644
--- a/manifests/batches/mathlib/001439.json
+++ b/manifests/batches/mathlib/001439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001439",
   "batch_fingerprint": "aa9541817a5d70e6a009adb55a089909f5cf2e4f570eb3bf9694bdf7345340ab",
   "evidence": {
@@ -2840,29 +2839,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001439-0000-4749348441cb6160.parquet",
-      "sha256": "4749348441cb61607e69b305bc4e99dca0d32cfa6336ecc5f9c03f0bdd606e25",
-      "bytes": 229295,
-      "rows": 71,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
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-    {
-      "path": "data/dev/mathlib-001439-0000-3cc1b4a9d686fbb5.parquet",
-      "sha256": "3cc1b4a9d686fbb57184505aebd74cf6db8d4882cbfd7b7e730554b57be5ab6f",
-      "bytes": 39829,
-      "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/internal_test/mathlib-001439-0000-8ccfd8920be09e7d.parquet",
-      "sha256": "8ccfd8920be09e7d7722b35823111f4532182c1845e963f530907a55e848ce39",
-      "bytes": 56147,
-      "rows": 7,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPiSystem.comap",
     "mathlib:IsPiSystem.singleton",
@@ -2948,5 +2925,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/PiSystem.lean\",null,null,\"isPiSystem_image_Iio\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/MeasureTheory/PiSystem.lean\",null,null,\"piiUnionInter_singleton_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229295,
+      "path": "data/train/pa5/mathlib-001439-0000-4749348441cb6160.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "4749348441cb61607e69b305bc4e99dca0d32cfa6336ecc5f9c03f0bdd606e25"
+    },
+    {
+      "bytes": 39829,
+      "path": "data/dev/pa5/mathlib-001439-0000-3cc1b4a9d686fbb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3cc1b4a9d686fbb57184505aebd74cf6db8d4882cbfd7b7e730554b57be5ab6f"
+    },
+    {
+      "bytes": 56147,
+      "path": "data/internal_test/pa5/mathlib-001439-0000-8ccfd8920be09e7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8ccfd8920be09e7d7722b35823111f4532182c1845e963f530907a55e848ce39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001440.json b/manifests/batches/mathlib/001440.json
index 66e8c0068ac3b6189b9313cd8e8eab838c14cc55..df2fd0cc1982a0e0d6e914ea23e8a5911e5a86f7 100644
--- a/manifests/batches/mathlib/001440.json
+++ b/manifests/batches/mathlib/001440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001440",
   "batch_fingerprint": "52a899f87bfb9d66df0af195f789a927e3cb53c8d1cac9455954b582e0093a67",
   "evidence": {
@@ -2227,29 +2226,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001440-0000-3c14a970c9f1276c.parquet",
-      "sha256": "3c14a970c9f1276c8b9e3da3dc5c62c039ed7a771037e76cee4b0b1d1caa6e77",
-      "bytes": 72170,
-      "rows": 25,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
-      "path": "data/dev/mathlib-001440-0000-67ffb983815b0b1a.parquet",
-      "sha256": "67ffb983815b0b1a1a4f2ba39bfcd127e6bc4bdb2f2ad0c6a14e26a74975a729",
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-      "rows": 2,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    },
-    {
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-      "sha256": "4321f40ba9a551ac465812af2625b090ff3c093deb0492a5f9e1e2f56cee08bd",
-      "bytes": 68954,
-      "rows": 4,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.IsSetRing.inter_mem",
     "mathlib:MeasureTheory.IsSetSemiring.disjoint_diffFinset\u2080",
@@ -2273,5 +2250,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 72170,
+      "path": "data/train/p4c/mathlib-001440-0000-3c14a970c9f1276c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+    {
+      "bytes": 38549,
+      "path": "data/dev/p4c/mathlib-001440-0000-67ffb983815b0b1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "67ffb983815b0b1a1a4f2ba39bfcd127e6bc4bdb2f2ad0c6a14e26a74975a729"
+    },
+    {
+      "bytes": 68954,
+      "path": "data/internal_test/p4c/mathlib-001440-0000-4321f40ba9a551ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4321f40ba9a551ac465812af2625b090ff3c093deb0492a5f9e1e2f56cee08bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001441.json b/manifests/batches/mathlib/001441.json
index 84eef52dd6b4dee0e0ab1a07623af7a82d6fd183..92d01a8f928727cdb1c2afb092876781c33917ed 100644
--- a/manifests/batches/mathlib/001441.json
+++ b/manifests/batches/mathlib/001441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001441",
   "batch_fingerprint": "b805a932c391e6739bbacbd0503321d91edcdfa2ad45c1edccac0beac239ddca",
   "evidence": {
@@ -175,28 +174,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:FirstOrder.Field.FieldAxiom.realize_toSentence_iff_toProp",
+    "mathlib:FirstOrder.Field.realize_eqZero"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Field/Basic.lean\",null,null,\"FirstOrder.Field.FieldAxiom.realize_toSentence_iff_toProp\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Field/CharP.lean\",null,null,\"FirstOrder.Field.realize_eqZero\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001441-0000-aa54f762ebd30d28.parquet",
-      "sha256": "aa54f762ebd30d28873691326b1173bf0d29fddff048df2fe074368a08bdda2e",
       "bytes": 36110,
+      "path": "data/train/p5e/mathlib-001441-0000-aa54f762ebd30d28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
+      "sha256": "aa54f762ebd30d28873691326b1173bf0d29fddff048df2fe074368a08bdda2e"
     },
     {
-      "path": "data/dev/mathlib-001441-0000-78b38686b086b26b.parquet",
-      "sha256": "78b38686b086b26b458f13f36efb6f2ccf938fe3cd8e3a1b236dedd154e9fb4f",
       "bytes": 46908,
+      "path": "data/dev/p5e/mathlib-001441-0000-78b38686b086b26b.parquet",
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       "rows": 1,
-      "revision": "830ac97d80762ce731aa98aecd898fdc63363403"
+      "sha256": "78b38686b086b26b458f13f36efb6f2ccf938fe3cd8e3a1b236dedd154e9fb4f"
     }
-  ],
-  "proof_ids": [
-    "mathlib:FirstOrder.Field.FieldAxiom.realize_toSentence_iff_toProp",
-    "mathlib:FirstOrder.Field.realize_eqZero"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Field/Basic.lean\",null,null,\"FirstOrder.Field.FieldAxiom.realize_toSentence_iff_toProp\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Field/CharP.lean\",null,null,\"FirstOrder.Field.realize_eqZero\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001442.json b/manifests/batches/mathlib/001442.json
index a057176764e3d835f2fac6da8f6df27f53c87a3c..053975fc7c3d57525f7aabd13b3e9240600e2a9e 100644
--- a/manifests/batches/mathlib/001442.json
+++ b/manifests/batches/mathlib/001442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001442",
   "batch_fingerprint": "5728e2e294be1c9f34a0b10e695240018a1dc534aaf7509072dea254ece6d204",
   "evidence": {
@@ -264,15 +263,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001442-0000-f4e8d8e72fa82279.parquet",
-      "sha256": "f4e8d8e72fa82279c994888c3488c043045752fd69a4affc2415580eeb604c1c",
-      "bytes": 46410,
-      "rows": 6,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Ring.card_ring",
     "mathlib:FirstOrder.Ring.realize_add",
@@ -286,5 +277,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Ring/Basic.lean\",null,null,\"FirstOrder.Ring.realize_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Ring/Basic.lean\",null,null,\"FirstOrder.Ring.realize_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Algebra/Ring/Basic.lean\",null,null,\"FirstOrder.Ring.realize_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46410,
+      "path": "data/train/p12/mathlib-001442-0000-f4e8d8e72fa82279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f4e8d8e72fa82279c994888c3488c043045752fd69a4affc2415580eeb604c1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001443.json b/manifests/batches/mathlib/001443.json
index c5c7020dc08a44baae9cd6494ad777ca2ea5a384..70d7969a26f3d2b8ab8a2d1536b37305e602a406 100644
--- a/manifests/batches/mathlib/001443.json
+++ b/manifests/batches/mathlib/001443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001443",
   "batch_fingerprint": "44988612be679493053fcb01705fe829cf5f598c9c56ba53d5a5aa62b03c0bb3",
   "evidence": {
@@ -1712,29 +1711,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001443-0000-15a709fd3f1ed370.parquet",
-      "sha256": "15a709fd3f1ed370236ba8b784b63fc2def21387405b1c695197797c1050e69f",
-      "bytes": 135258,
-      "rows": 37,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001443-0000-fcf3c443895b4196.parquet",
-      "sha256": "fcf3c443895b41968173fd2e26ee3f7d322b9746843a661a4138901f94487a3e",
-      "bytes": 39086,
-      "rows": 1,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001443-0000-79aeaca29a255a55.parquet",
-      "sha256": "79aeaca29a255a554d2b9f7b96ae4e80c749eb81091e509f7673786c8f94000e",
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-      "rows": 1,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.Embedding.comp_injective",
     "mathlib:FirstOrder.Language.Embedding.ofInjective_toHom",
@@ -1782,5 +1759,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Basic.lean\",null,null,\"FirstOrder.Language.empty_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Basic.lean\",null,null,\"FirstOrder.Sequence\u2082.lift_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Basic.lean\",null,null,\"FirstOrder.Sequence\u2082.sum_card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135258,
+      "path": "data/train/p65/mathlib-001443-0000-15a709fd3f1ed370.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "15a709fd3f1ed370236ba8b784b63fc2def21387405b1c695197797c1050e69f"
+    },
+    {
+      "bytes": 39086,
+      "path": "data/dev/p65/mathlib-001443-0000-fcf3c443895b4196.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fcf3c443895b41968173fd2e26ee3f7d322b9746843a661a4138901f94487a3e"
+    },
+    {
+      "bytes": 31034,
+      "path": "data/internal_test/p65/mathlib-001443-0000-79aeaca29a255a55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "79aeaca29a255a554d2b9f7b96ae4e80c749eb81091e509f7673786c8f94000e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001444.json b/manifests/batches/mathlib/001444.json
index 7741bf070462e33a78747912a7fe44ac6b8b41da..ef7e000a6f5815e598ea8f593a385883cb95f8f6 100644
--- a/manifests/batches/mathlib/001444.json
+++ b/manifests/batches/mathlib/001444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001444",
   "batch_fingerprint": "7bfb3bbb34c860f850a0eddd24fd113339d6af0e5f3e1b3d7e995d13058ac23c",
   "evidence": {
@@ -2086,29 +2085,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001444-0000-47beadd57ad7dde6.parquet",
-      "sha256": "47beadd57ad7dde6bdc58c64a483f9cb04abe36189ca753f6c75a861c451376c",
-      "bytes": 250511,
-      "rows": 63,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001444-0000-868c429c336b3567.parquet",
-      "sha256": "868c429c336b3567070e967caa25d30ddd5b53b54b8e3acbc1fd673255568d27",
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-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001444-0000-5be62193d67c5331.parquet",
-      "sha256": "5be62193d67c5331ace7a1e2ee8a35a631b9e9b139b650e59b17320516a4245e",
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-      "rows": 5,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.DirectLimit.Equiv_isup_symm_inclusion",
     "mathlib:FirstOrder.Language.DirectLimit.Equiv_isup_symm_inclusion_apply",
@@ -2162,5 +2139,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 250511,
+      "path": "data/train/pb4/mathlib-001444-0000-47beadd57ad7dde6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "47beadd57ad7dde6bdc58c64a483f9cb04abe36189ca753f6c75a861c451376c"
+    },
+    {
+      "bytes": 70350,
+      "path": "data/dev/pb4/mathlib-001444-0000-868c429c336b3567.parquet",
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+      "sha256": "868c429c336b3567070e967caa25d30ddd5b53b54b8e3acbc1fd673255568d27"
+    },
+    {
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+      "path": "data/internal_test/pb4/mathlib-001444-0000-5be62193d67c5331.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5be62193d67c5331ace7a1e2ee8a35a631b9e9b139b650e59b17320516a4245e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001445.json b/manifests/batches/mathlib/001445.json
index 4610394e2d97e0d9cfff21698abe3d5cc86b4322..d3d6e2f64040c69a2a1d8780e672a2356fac7f1c 100644
--- a/manifests/batches/mathlib/001445.json
+++ b/manifests/batches/mathlib/001445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001445",
   "batch_fingerprint": "c87b8d63eb1c96dcae19df0d10a24f7c3862d6fab75c76e590f4322396f14b70",
   "evidence": {
@@ -827,15 +826,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001445-0000-73d0ec7c9b2bad69.parquet",
-      "sha256": "73d0ec7c9b2bad69650521641a7bd29f51ee203a50ae737adfd390490d77c9ce",
-      "bytes": 71723,
-      "rows": 12,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.ElementaryEmbedding.injective",
     "mathlib:FirstOrder.Language.ElementaryEmbedding.map_formula",
@@ -851,5 +842,14 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/ElementaryMaps.lean\",null,null,\"FirstOrder.Language.ElementaryEmbedding.theory_model_iff\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 71723,
+      "path": "data/train/pd6/mathlib-001445-0000-73d0ec7c9b2bad69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "73d0ec7c9b2bad69650521641a7bd29f51ee203a50ae737adfd390490d77c9ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001446.json b/manifests/batches/mathlib/001446.json
index b81d4821af710744356ff099af81c32696ee05f1..1fdc04d95e951e9893443a2ee5e0283dfec927ac 100644
--- a/manifests/batches/mathlib/001446.json
+++ b/manifests/batches/mathlib/001446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001446",
   "batch_fingerprint": "9e8bdb820e27cf983b41cec71667b40a670a4520a61310877cd8823ff766d694",
   "evidence": {
@@ -1612,22 +1611,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001446-0000-67bd4e663bd3664a.parquet",
-      "sha256": "67bd4e663bd3664ae3b302539ab294189fa93eaba1517ce47fd32daea04d590e",
-      "bytes": 153842,
-      "rows": 45,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001446-0000-367e8b10e19b3970.parquet",
-      "sha256": "367e8b10e19b3970ea30382a0f04535a2425b1ebe9edf4c4f66fed443667a0dd",
-      "bytes": 48456,
-      "rows": 8,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.BoundedFormula.card_le",
     "mathlib:FirstOrder.Language.Structure.CG.map_of_surjective",
@@ -1669,5 +1653,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/FinitelyGenerated.lean\",null,null,\"FirstOrder.Language.Substructure.fg_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/FinitelyGenerated.lean\",null,null,\"FirstOrder.Language.Substructure.fg_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/FinitelyGenerated.lean\",null,null,\"FirstOrder.Language.Substructure.fg_def\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153842,
+      "path": "data/train/p88/mathlib-001446-0000-67bd4e663bd3664a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "67bd4e663bd3664ae3b302539ab294189fa93eaba1517ce47fd32daea04d590e"
+    },
+    {
+      "bytes": 48456,
+      "path": "data/internal_test/p88/mathlib-001446-0000-367e8b10e19b3970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "367e8b10e19b3970ea30382a0f04535a2425b1ebe9edf4c4f66fed443667a0dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001447.json b/manifests/batches/mathlib/001447.json
index 075f17cf6ec51e4c893afea4465c1bf2c907ffa4..191a8892b1bc6a8c2732ff164c307f0deb6ed5fe 100644
--- a/manifests/batches/mathlib/001447.json
+++ b/manifests/batches/mathlib/001447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001447",
   "batch_fingerprint": "28953677063a87a05caa933106ce7fcc671f3d96e6ee7cb8012469849a76a2dc",
   "evidence": {
@@ -1064,22 +1063,7 @@
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-  "shards": [
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-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
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-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.IsUltrahomogeneous.amalgamation_age",
     "mathlib:FirstOrder.Language.Theory.simpleGraph_model_iff",
@@ -1089,5 +1073,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Fraisse.lean\",null,null,\"FirstOrder.Language.IsUltrahomogeneous.amalgamation_age\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Graph.lean\",null,null,\"FirstOrder.Language.Theory.simpleGraph_model_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Graph.lean\",null,null,\"SimpleGraph.simpleGraphOfStructure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111036,
+      "path": "data/train/pab/mathlib-001447-0000-bf07867a99631d2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bf07867a99631d2f9fb51333f155c4c785cf17308d0ee054a023d37e4b3270d5"
+    },
+    {
+      "bytes": 37947,
+      "path": "data/internal_test/pab/mathlib-001447-0000-4525fac60542cab0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4525fac60542cab0dcab947971739a031aae444fffbf786318a8e48ce750bebb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001448.json b/manifests/batches/mathlib/001448.json
index 52fdcc0a79a24449b84fc4ca8c28bb114b3f07f9..fb99e45b0e476cb900efb6bc1836d377cd3064fa 100644
--- a/manifests/batches/mathlib/001448.json
+++ b/manifests/batches/mathlib/001448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001448",
   "batch_fingerprint": "c03525d91b6839e6a84474f520cf31961e5bd7b6b83f71ad0c460ba3c5ae326f",
   "evidence": {
@@ -668,22 +667,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001448-0000-14abb28963dcd519.parquet",
-      "sha256": "14abb28963dcd519f1eb8888a9e11acc807978db366b1c3dc29ad7d68e60f0ac",
-      "bytes": 63846,
-      "rows": 11,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001448-0000-fb5dc61fea965635.parquet",
-      "sha256": "fb5dc61fea965635ded786d87ac2d88fb1383fcbd30403efd9838dc7ef6fe993",
-      "bytes": 54696,
-      "rows": 12,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.LHom.comp_id",
     "mathlib:FirstOrder.Language.LHom.funext",
@@ -709,5 +693,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Order.lean\",null,null,\"FirstOrder.Language.realize_denselyOrdered_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Order.lean\",null,null,\"FirstOrder.Language.realize_noBotOrder_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Order.lean\",null,null,\"FirstOrder.Language.relMap_leSymb\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63846,
+      "path": "data/train/pbc/mathlib-001448-0000-14abb28963dcd519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "14abb28963dcd519f1eb8888a9e11acc807978db366b1c3dc29ad7d68e60f0ac"
+    },
+    {
+      "bytes": 54696,
+      "path": "data/internal_test/pbc/mathlib-001448-0000-fb5dc61fea965635.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "fb5dc61fea965635ded786d87ac2d88fb1383fcbd30403efd9838dc7ef6fe993"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001449.json b/manifests/batches/mathlib/001449.json
index b1d2fc54dd4e8fa4dd1178f7e2d16c28d8ca23e2..d928e19664a05023738d2f276ed0914425e723bf 100644
--- a/manifests/batches/mathlib/001449.json
+++ b/manifests/batches/mathlib/001449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001449",
   "batch_fingerprint": "8927ded81e5a92981911a7d53414960307954e3e21037a7af29f065a3047fe29",
   "evidence": {
@@ -1926,22 +1925,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001449-0000-afdbd122d8496172.parquet",
-      "sha256": "afdbd122d84961724639d71475f47b5489f518c66e1ed2764d35ca2428efa9c0",
-      "bytes": 244239,
-      "rows": 67,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001449-0000-66825a35c44ac718.parquet",
-      "sha256": "66825a35c44ac718c060c50cb604b09ff567aa21043f617063d41079c2b106d8",
-      "bytes": 58158,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.Categorical.isComplete",
     "mathlib:Cardinal.empty_infinite_Theory_isComplete",
@@ -1997,5 +1981,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Satisfiability.lean\",null,null,\"FirstOrder.Language.Theory.models_iff_not_satisfiable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Satisfiability.lean\",null,null,\"FirstOrder.Language.Theory.models_of_models_theory\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Satisfiability.lean\",null,null,\"FirstOrder.Language.completeTheory.mem_or_not_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244239,
+      "path": "data/train/p74/mathlib-001449-0000-afdbd122d8496172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "afdbd122d84961724639d71475f47b5489f518c66e1ed2764d35ca2428efa9c0"
+    },
+    {
+      "bytes": 58158,
+      "path": "data/internal_test/p74/mathlib-001449-0000-66825a35c44ac718.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "66825a35c44ac718c060c50cb604b09ff567aa21043f617063d41079c2b106d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001450.json b/manifests/batches/mathlib/001450.json
index 7eb4f2d9d517bdbe8a0616b99c7e6200dd3fc9fc..564e4b60aafe578a3fb504d512a71107f5ef9817 100644
--- a/manifests/batches/mathlib/001450.json
+++ b/manifests/batches/mathlib/001450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001450",
   "batch_fingerprint": "729208798cd2ca78db1403cbd181129d1f3d2d776106146032686891f93e662b",
   "evidence": {
@@ -4798,29 +4797,7 @@
     "validation_rejected_proofs": 25,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001450-0000-036c04916b4c3c57.parquet",
-      "sha256": "036c04916b4c3c5728b38dc6fbfaa90141e06b6673959f5bb8ea64423ae9db28",
-      "bytes": 199422,
-      "rows": 52,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001450-0000-581c63a5d4b43f9e.parquet",
-      "sha256": "581c63a5d4b43f9e857582e12257e274fd2c7a80d2dfde9b9e2b777647013f38",
-      "bytes": 69251,
-      "rows": 5,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001450-0000-db4c8f7cedeb4e00.parquet",
-      "sha256": "db4c8f7cedeb4e00f6045e4b3566e13580fce049298811224b33cac53487fab8",
-      "bytes": 52888,
-      "rows": 4,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.BoundedFormula.realize_castLE_of_eq",
     "mathlib:FirstOrder.Language.BoundedFormula.realize_ex",
@@ -4892,5 +4869,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Semantics.lean\",null,null,\"FirstOrder.Language.model_infiniteTheory_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Semantics.lean\",null,null,\"FirstOrder.Language.model_nonemptyTheory_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Semantics.lean\",null,null,\"FirstOrder.Language.realize_iff_of_model_completeTheory\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199422,
+      "path": "data/train/p93/mathlib-001450-0000-036c04916b4c3c57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "036c04916b4c3c5728b38dc6fbfaa90141e06b6673959f5bb8ea64423ae9db28"
+    },
+    {
+      "bytes": 69251,
+      "path": "data/dev/p93/mathlib-001450-0000-581c63a5d4b43f9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "581c63a5d4b43f9e857582e12257e274fd2c7a80d2dfde9b9e2b777647013f38"
+    },
+    {
+      "bytes": 52888,
+      "path": "data/internal_test/p93/mathlib-001450-0000-db4c8f7cedeb4e00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "db4c8f7cedeb4e00f6045e4b3566e13580fce049298811224b33cac53487fab8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001451.json b/manifests/batches/mathlib/001451.json
index d55106834604157af7dae7096edc9e507b6f91a7..c8970ce4f7a8b171615e231b52bb03d1d42510b0 100644
--- a/manifests/batches/mathlib/001451.json
+++ b/manifests/batches/mathlib/001451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001451",
   "batch_fingerprint": "1e48455333aed1ecf1c2a2563ec097fc4e5a99e5dc2b609067cd93945da1e8b7",
   "evidence": {
@@ -4286,29 +4285,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001451-0000-95e92c7f8774dfc0.parquet",
-      "sha256": "95e92c7f8774dfc0867872a02e137d591760ff2105f05277ba604c146fa84451",
-      "bytes": 191597,
-      "rows": 45,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001451-0000-9b0764a4016ffb76.parquet",
-      "sha256": "9b0764a4016ffb76b02cfca5c70b3696ce59aa056d28ad0fec72a955dbdbd0d6",
-      "bytes": 51931,
-      "rows": 6,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001451-0000-22fc4d26a680f5b8.parquet",
-      "sha256": "22fc4d26a680f5b8055c7ce3e2d4ecf3df3197ea542a9e59d0211b3a2a981e49",
-      "bytes": 46422,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.BoundedFormula.not_all_isAtomic",
     "mathlib:FirstOrder.Language.BoundedFormula.not_all_isQF",
@@ -4366,5 +4343,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Syntax.lean\",null,null,\"FirstOrder.Language.BoundedFormula.relabel_not\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Syntax.lean\",null,null,\"FirstOrder.Language.distinctConstantsTheory_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191597,
+      "path": "data/train/p97/mathlib-001451-0000-95e92c7f8774dfc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "95e92c7f8774dfc0867872a02e137d591760ff2105f05277ba604c146fa84451"
+    },
+    {
+      "bytes": 51931,
+      "path": "data/dev/p97/mathlib-001451-0000-9b0764a4016ffb76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9b0764a4016ffb76b02cfca5c70b3696ce59aa056d28ad0fec72a955dbdbd0d6"
+    },
+    {
+      "bytes": 46422,
+      "path": "data/internal_test/p97/mathlib-001451-0000-22fc4d26a680f5b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "22fc4d26a680f5b8055c7ce3e2d4ecf3df3197ea542a9e59d0211b3a2a981e49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001452.json b/manifests/batches/mathlib/001452.json
index 7c5b4f9bbad0b52e544bad67cfed175f8f7b2d3d..e46350dc60cbf11e144f4e5d2dc5110c953e6b88 100644
--- a/manifests/batches/mathlib/001452.json
+++ b/manifests/batches/mathlib/001452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001452",
   "batch_fingerprint": "abd6aaeed4c101f748dd48257de34947136d171121d4785127b09a9a936ffef3",
   "evidence": {
@@ -692,22 +691,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001452-0000-8197f84bbb8fdf76.parquet",
-      "sha256": "8197f84bbb8fdf76b6175a306e69bb638d7581b12e40ab2eb560374bd93037a9",
-      "bytes": 91086,
-      "rows": 24,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001452-0000-4f183d0781b358eb.parquet",
-      "sha256": "4f183d0781b358ebdd0ec9e79c618b90dd1f7e3061992da887c5d80bc1ab7e21",
-      "bytes": 36023,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FirstOrder.Language.Theory.CompleteType.formula_mem_typeOf",
     "mathlib:FirstOrder.Language.Theory.CompleteType.iInter_setOf_subset",
@@ -731,5 +715,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Ultraproducts.lean\",null,null,\"FirstOrder.Language.Ultraproduct.realize_formula_cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/ModelTheory/Ultraproducts.lean\",null,null,\"FirstOrder.Language.Ultraproduct.sentence_realize\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91086,
+      "path": "data/train/p52/mathlib-001452-0000-8197f84bbb8fdf76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8197f84bbb8fdf76b6175a306e69bb638d7581b12e40ab2eb560374bd93037a9"
+    },
+    {
+      "bytes": 36023,
+      "path": "data/internal_test/p52/mathlib-001452-0000-4f183d0781b358eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f183d0781b358ebdd0ec9e79c618b90dd1f7e3061992da887c5d80bc1ab7e21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001453.json b/manifests/batches/mathlib/001453.json
index 73ab59dcc1d164993f279565985fb9ffff101375..e9f1f58a31a8c836c4847664414b785162fdc5e9 100644
--- a/manifests/batches/mathlib/001453.json
+++ b/manifests/batches/mathlib/001453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001453",
   "batch_fingerprint": "35bd81efa457cc840dccfe4cbc1ae293cf06a4df0e45df44a904d2876ef52980",
   "evidence": {
@@ -5026,29 +5025,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001453-0000-213a277d41cd7288.parquet",
-      "sha256": "213a277d41cd7288ec1b8b48ff6066b2650e2e5a83a2c0a01764b75e2c302ae2",
-      "bytes": 220035,
-      "rows": 74,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001453-0000-2bae53ff7e250b44.parquet",
-      "sha256": "2bae53ff7e250b44390116a61212cf4c746e211bc74af976c16f810d3f7e911a",
-      "bytes": 37015,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001453-0000-d207c7412d7eed98.parquet",
-      "sha256": "d207c7412d7eed98109dd60efeab6a8d4f55b666496f9d04ea2661251560c834",
-      "bytes": 31854,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ADEInequality.sumInv_pqr",
     "mathlib:ArithmeticFunction.IsMultiplicative.prodPrimeFactors",
@@ -5136,5 +5113,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ArithmeticFunction.lean\",null,null,\"ArithmeticFunction.sum_eq_iff_sum_mul_moebius_eq_on\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ArithmeticFunction.lean\",null,null,\"ArithmeticFunction.zeta_mul_pow_eq_sigma\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ArithmeticFunction.lean\",null,null,\"ArithmeticFunction.zeta_pmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220035,
+      "path": "data/train/pdd/mathlib-001453-0000-213a277d41cd7288.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "213a277d41cd7288ec1b8b48ff6066b2650e2e5a83a2c0a01764b75e2c302ae2"
+    },
+    {
+      "bytes": 37015,
+      "path": "data/dev/pdd/mathlib-001453-0000-2bae53ff7e250b44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2bae53ff7e250b44390116a61212cf4c746e211bc74af976c16f810d3f7e911a"
+    },
+    {
+      "bytes": 31854,
+      "path": "data/internal_test/pdd/mathlib-001453-0000-d207c7412d7eed98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d207c7412d7eed98109dd60efeab6a8d4f55b666496f9d04ea2661251560c834"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001454.json b/manifests/batches/mathlib/001454.json
index 38a8066a45bd12b004983d65b48dcb0f300dd297..90aecd2d50759e10c5c2387ca705c5e30858ab0b 100644
--- a/manifests/batches/mathlib/001454.json
+++ b/manifests/batches/mathlib/001454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001454",
   "batch_fingerprint": "d8b9480128feaa9074563b193149fb25d9b8369bf988ebef7caf3bfeb6b5130c",
   "evidence": {
@@ -1945,15 +1944,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001454-0000-04fef950d243b7d7.parquet",
-      "sha256": "04fef950d243b7d702bb054fbc43f0f89cfff40ad082250a6f6a670154559c38",
-      "bytes": 57744,
-      "rows": 12,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:bernoulli'_eq_bernoulli",
     "mathlib:bernoulli'_spec'",
@@ -1971,5 +1962,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Bernoulli.lean\",null,null,\"bernoulli'_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Bernoulli.lean\",null,null,\"bernoulli_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Bernoulli.lean\",null,null,\"bernoulli_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57744,
+      "path": "data/train/pdf/mathlib-001454-0000-04fef950d243b7d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "04fef950d243b7d702bb054fbc43f0f89cfff40ad082250a6f6a670154559c38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001455.json b/manifests/batches/mathlib/001455.json
index 1c03ce08f94abff32dea03cb8b93f61f4e1e909e..e1e4235e0fb9ec538914b02111d9e459fa009526 100644
--- a/manifests/batches/mathlib/001455.json
+++ b/manifests/batches/mathlib/001455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001455",
   "batch_fingerprint": "73121497c08847749ab0d2a9c07eb1d2b278227d806f96f7fa82a2ab96c4c91f",
   "evidence": {
@@ -2228,15 +2227,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001455-0000-30dbda15ef80f124.parquet",
-      "sha256": "30dbda15ef80f1249771d81db1191574495548a497c33ca8bd423e8924bd3c78",
-      "bytes": 46559,
-      "rows": 9,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.bernoulli_def",
     "mathlib:Polynomial.bernoulli_eq_sub_sum",
@@ -2248,5 +2239,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/BernoulliPolynomials.lean\",null,null,\"Polynomial.bernoulli_eq_sub_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/BernoulliPolynomials.lean\",null,null,\"Polynomial.bernoulli_succ_eval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/BernoulliPolynomials.lean\",null,null,\"Polynomial.bernoulli_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46559,
+      "path": "data/train/pbf/mathlib-001455-0000-30dbda15ef80f124.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "30dbda15ef80f1249771d81db1191574495548a497c33ca8bd423e8924bd3c78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001456.json b/manifests/batches/mathlib/001456.json
index fe85389d76afeaafabe15b0cfec50d607d649a7a..1510c34b10718f862784e15f11d5d276376302a9 100644
--- a/manifests/batches/mathlib/001456.json
+++ b/manifests/batches/mathlib/001456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001456",
   "batch_fingerprint": "421ad8468ab3c6af3e21b04c67b27320f57c156008b3df7fb58adde92fe37bc4",
   "evidence": {
@@ -415,28 +414,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:AbsoluteValue.IsAdmissible.exists_approx",
+    "mathlib:AbsoluteValue.IsAdmissible.exists_partition"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean\",null,null,\"AbsoluteValue.IsAdmissible.exists_approx\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean\",null,null,\"AbsoluteValue.IsAdmissible.exists_partition\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001456-0000-82dfc019e5591953.parquet",
-      "sha256": "82dfc019e5591953db08ec22425f95b5d0de0e6ed57d892eb735430403ff8a05",
       "bytes": 67098,
+      "path": "data/train/paf/mathlib-001456-0000-82dfc019e5591953.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
+      "sha256": "82dfc019e5591953db08ec22425f95b5d0de0e6ed57d892eb735430403ff8a05"
     },
     {
-      "path": "data/internal_test/mathlib-001456-0000-0b45ef36f8a50e83.parquet",
-      "sha256": "0b45ef36f8a50e832ebd25454f7e67dbb93c29484520ef4cbb7d257c4ec6462e",
       "bytes": 61519,
+      "path": "data/internal_test/paf/mathlib-001456-0000-0b45ef36f8a50e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
+      "sha256": "0b45ef36f8a50e832ebd25454f7e67dbb93c29484520ef4cbb7d257c4ec6462e"
     }
-  ],
-  "proof_ids": [
-    "mathlib:AbsoluteValue.IsAdmissible.exists_approx",
-    "mathlib:AbsoluteValue.IsAdmissible.exists_partition"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean\",null,null,\"AbsoluteValue.IsAdmissible.exists_approx\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean\",null,null,\"AbsoluteValue.IsAdmissible.exists_partition\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001457.json b/manifests/batches/mathlib/001457.json
index 1408960a662ddcb04f8e224e7bf664149044398c..2fb978dc6bb07e587f48cdd01ee88afc3ae3876c 100644
--- a/manifests/batches/mathlib/001457.json
+++ b/manifests/batches/mathlib/001457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001457",
   "batch_fingerprint": "b8c4e26a84e68430df305d96e9493a31e8202b7b5f2b66a4b470ded9c6b89cec",
   "evidence": {
@@ -2755,15 +2754,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001457-0000-67a367f99d4d1447.parquet",
-      "sha256": "67a367f99d4d14478267d28bb05726fed7575d63ffaa18146c3a5f170399f085",
-      "bytes": 83779,
-      "rows": 10,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClassGroup.mkMMem_surjective",
     "mathlib:ClassGroup.prod_finsetApprox_ne_zero",
@@ -2773,5 +2764,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean\",null,null,\"Polynomial.exists_partition_polynomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/Finite.lean\",null,null,\"ClassGroup.mkMMem_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ClassNumber/Finite.lean\",null,null,\"ClassGroup.prod_finsetApprox_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83779,
+      "path": "data/train/p9f/mathlib-001457-0000-67a367f99d4d1447.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "67a367f99d4d14478267d28bb05726fed7575d63ffaa18146c3a5f170399f085"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001458.json b/manifests/batches/mathlib/001458.json
index de9b31ddda2570e228c1f52c4673f50091a41f12..976b61ab491c8bd001f073b8c6c4bcacf93b6146 100644
--- a/manifests/batches/mathlib/001458.json
+++ b/manifests/batches/mathlib/001458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001458",
   "batch_fingerprint": "2d50b881b3b2b97137ee65e53a9bb3318857bfd350452e144ed78cea1cbad1aa",
   "evidence": {
@@ -1903,22 +1902,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001458-0000-b735b73d1123810e.parquet",
-      "sha256": "b735b73d1123810ed81f7eed6c339b1c3b0d7330202494e7f7de3c36f60af30a",
-      "bytes": 159758,
-      "rows": 35,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001458-0000-3842485c59594f00.parquet",
-      "sha256": "3842485c59594f00a5c005883e55a3df687e8f21f5da8441efb1c57f80072f4d",
-      "bytes": 76674,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CyclotomicRing.eq_adjoin_primitive_root",
     "mathlib:IsAlgClosed.isCyclotomicExtension",
@@ -1948,5 +1932,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Basic.lean\",null,null,\"IsCyclotomicExtension.splits_X_pow_sub_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Basic.lean\",null,null,\"IsCyclotomicExtension.splits_cyclotomic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Basic.lean\",null,null,\"IsCyclotomicExtension.splitting_field_cyclotomic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159758,
+      "path": "data/train/pa9/mathlib-001458-0000-b735b73d1123810e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "b735b73d1123810ed81f7eed6c339b1c3b0d7330202494e7f7de3c36f60af30a"
+    },
+    {
+      "bytes": 76674,
+      "path": "data/internal_test/pa9/mathlib-001458-0000-3842485c59594f00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3842485c59594f00a5c005883e55a3df687e8f21f5da8441efb1c57f80072f4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001459.json b/manifests/batches/mathlib/001459.json
index 7ebcbc95ad58130dfab0b83c911111cb1d48bb6e..4c072b8801f8387fc7b0f365dc10f537fc8e3f0a 100644
--- a/manifests/batches/mathlib/001459.json
+++ b/manifests/batches/mathlib/001459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001459",
   "batch_fingerprint": "5f5bd0280e1d3ce4ddb9be4c5b3715969761b4561cc3ef86ff76c7499ed4577f",
   "evidence": {
@@ -1545,29 +1544,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001459-0000-fb23f4648cdd3ad8.parquet",
-      "sha256": "fb23f4648cdd3ad83ab48c725cf9fc159eeb458b68fc917a02806f6a46857550",
-      "bytes": 105533,
-      "rows": 15,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001459-0000-7f8ba45ad3fed5ee.parquet",
-      "sha256": "7f8ba45ad3fed5ee3bc91828a356650624967b8dc0a29277b74004efbf26d91a",
-      "bytes": 55224,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001459-0000-9af9fece1d83f0c9.parquet",
-      "sha256": "9af9fece1d83f0c9e6dd12e7fc18a6155e67d5eec4303289c54c6ee1e41655b3",
-      "bytes": 56301,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCyclotomicExtension.discr_prime_pow_ne_two'",
     "mathlib:IsPrimitiveRoot.autToPow_eq_ModularCyclotomicCharacter",
@@ -1585,5 +1562,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/CyclotomicCharacter.lean\",null,null,\"rootsOfUnity.integer_power_of_ringEquiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/CyclotomicCharacter.lean\",null,null,\"rootsOfUnity.integer_power_of_ringEquiv'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Discriminant.lean\",null,null,\"IsCyclotomicExtension.discr_prime_pow_ne_two'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105533,
+      "path": "data/train/pca/mathlib-001459-0000-fb23f4648cdd3ad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fb23f4648cdd3ad83ab48c725cf9fc159eeb458b68fc917a02806f6a46857550"
+    },
+    {
+      "bytes": 55224,
+      "path": "data/dev/pca/mathlib-001459-0000-7f8ba45ad3fed5ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7f8ba45ad3fed5ee3bc91828a356650624967b8dc0a29277b74004efbf26d91a"
+    },
+    {
+      "bytes": 56301,
+      "path": "data/internal_test/pca/mathlib-001459-0000-9af9fece1d83f0c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9af9fece1d83f0c9e6dd12e7fc18a6155e67d5eec4303289c54c6ee1e41655b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001460.json b/manifests/batches/mathlib/001460.json
index 4ef20cd91ca35d55ae38bdcb0377ad1986856e79..cc4f9f1fb2fec723845a083ae3fed893bbb186a9 100644
--- a/manifests/batches/mathlib/001460.json
+++ b/manifests/batches/mathlib/001460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001460",
   "batch_fingerprint": "2e31bee8c12af22a1f4f7419b9795357cb1bdd1bbaf055244757d87c2569d3ae",
   "evidence": {
@@ -379,15 +378,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001460-0000-ab2c4ee128d66cf7.parquet",
-      "sha256": "ab2c4ee128d66cf7941bb05fde195c4bb8ee5994bfe29ad3c4e2338b80b1e10d",
-      "bytes": 72465,
-      "rows": 8,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCyclotomicExtension.Rat.nrRealPlaces_eq_zero",
     "mathlib:IsCyclotomicExtension.fromZetaAut_spec"
@@ -395,5 +386,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Embeddings.lean\",null,null,\"IsCyclotomicExtension.Rat.nrRealPlaces_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Gal.lean\",null,null,\"IsCyclotomicExtension.fromZetaAut_spec\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72465,
+      "path": "data/train/p26/mathlib-001460-0000-ab2c4ee128d66cf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ab2c4ee128d66cf7941bb05fde195c4bb8ee5994bfe29ad3c4e2338b80b1e10d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001461.json b/manifests/batches/mathlib/001461.json
index c49c098ce458d4906b73ac8f6922d2ff7fc52a48..174808026cb242438fcf088b2008a9f395d5cc2c 100644
--- a/manifests/batches/mathlib/001461.json
+++ b/manifests/batches/mathlib/001461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001461",
   "batch_fingerprint": "8de28a8d9972cd520d53cae26b633c642c7e2fa210ed05feb58557e1fdd67d7a",
   "evidence": {
@@ -2371,22 +2370,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001461-0000-9b76244b7850db91.parquet",
-      "sha256": "9b76244b7850db91639b78887248c2fe59f20bfee6c229687391753d51a3d187",
-      "bytes": 108203,
-      "rows": 18,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001461-0000-524e5243ce2e3554.parquet",
-      "sha256": "524e5243ce2e3554a190dc9b89909eb0c4e4e8e5a2900aab3b40e5c11bfb5fa7",
-      "bytes": 58505,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCyclotomicExtension.aeval_zeta",
     "mathlib:IsCyclotomicExtension.finrank",
@@ -2404,5 +2388,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/PrimitiveRoots.lean\",null,null,\"IsPrimitiveRoot.norm_eq_one_of_linearly_ordered\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/PrimitiveRoots.lean\",null,null,\"IsPrimitiveRoot.norm_sub_one_of_prime_ne_two\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/PrimitiveRoots.lean\",null,null,\"IsPrimitiveRoot.sub_one_norm_isPrimePow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108203,
+      "path": "data/train/p2b/mathlib-001461-0000-9b76244b7850db91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9b76244b7850db91639b78887248c2fe59f20bfee6c229687391753d51a3d187"
+    },
+    {
+      "bytes": 58505,
+      "path": "data/internal_test/p2b/mathlib-001461-0000-524e5243ce2e3554.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "524e5243ce2e3554a190dc9b89909eb0c4e4e8e5a2900aab3b40e5c11bfb5fa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001462.json b/manifests/batches/mathlib/001462.json
index 11a26e2eba47a9be947f18e5febc0adf556d0604..795ea816a72c7421b3d74608e1837f86213509d0 100644
--- a/manifests/batches/mathlib/001462.json
+++ b/manifests/batches/mathlib/001462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001462",
   "batch_fingerprint": "32c3e15237deba07764e700565235858210d712e4652b6e1207ce0d2245fc96d",
   "evidence": {
@@ -3989,22 +3988,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001462-0000-34d9bf70427c4f92.parquet",
-      "sha256": "34d9bf70427c4f92d6cd1091dc5c6e91c83a4802340932d11a2f10b6f4deef28",
-      "bytes": 207383,
-      "rows": 40,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001462-0000-27dbcb8810e22d41.parquet",
-      "sha256": "27dbcb8810e22d41ce27aed7dc851f925c7893af145b41c55c218f49b2f61df2",
-      "bytes": 43334,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCyclotomicExtension.Rat.Three.eta_sq_add_eta_add_one",
     "mathlib:IsCyclotomicExtension.Rat.absdiscr_prime_pow_succ",
@@ -4046,5 +4030,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Rat.lean\",null,null,\"IsPrimitiveRoot.subOneIntegralPowerBasis_gen_prime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Rat.lean\",null,null,\"IsPrimitiveRoot.toInteger_isPrimitiveRoot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Cyclotomic/Three.lean\",null,null,\"IsCyclotomicExtension.Rat.Three.eta_sq_add_eta_add_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207383,
+      "path": "data/train/p15/mathlib-001462-0000-34d9bf70427c4f92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "34d9bf70427c4f92d6cd1091dc5c6e91c83a4802340932d11a2f10b6f4deef28"
+    },
+    {
+      "bytes": 43334,
+      "path": "data/internal_test/p15/mathlib-001462-0000-27dbcb8810e22d41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "27dbcb8810e22d41ce27aed7dc851f925c7893af145b41c55c218f49b2f61df2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001463.json b/manifests/batches/mathlib/001463.json
index a2a8b077883a7185d466f15d8e385c47ab4d6e61..33561878928a0e40be81e1be8b8b02029da7ea5a 100644
--- a/manifests/batches/mathlib/001463.json
+++ b/manifests/batches/mathlib/001463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001463",
   "batch_fingerprint": "081c94ed5037c0d437b9e99a4efafe27439987b0ac24e1cb6f534e8f1fa45259",
   "evidence": {
@@ -4889,22 +4888,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001463-0000-8d9a8f63604639e6.parquet",
-      "sha256": "8d9a8f63604639e63290ee082b766a1289c646d127c8aab2090bddab063279ad",
-      "bytes": 157761,
-      "rows": 36,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001463-0000-a1c3d46ec74d0cc2.parquet",
-      "sha256": "a1c3d46ec74d0cc2e05da016acc4e7622aeba8ee08240b8526aa643e1811d014",
-      "bytes": 52601,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Dioph.abs_poly_dioph",
     "mathlib:Dioph.diophFn_comp",
@@ -4938,5 +4922,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DiophantineApproximation.lean\",null,null,\"Real.exists_continued_fraction_convergent_eq_rat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DiophantineApproximation.lean\",null,null,\"Real.exists_nat_abs_mul_sub_round_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DiophantineApproximation.lean\",null,null,\"Real.exists_rat_abs_sub_lt_and_lt_of_irrational\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157761,
+      "path": "data/train/p10/mathlib-001463-0000-8d9a8f63604639e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "8d9a8f63604639e63290ee082b766a1289c646d127c8aab2090bddab063279ad"
+    },
+    {
+      "bytes": 52601,
+      "path": "data/internal_test/p10/mathlib-001463-0000-a1c3d46ec74d0cc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a1c3d46ec74d0cc2e05da016acc4e7622aeba8ee08240b8526aa643e1811d014"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001464.json b/manifests/batches/mathlib/001464.json
index 082d5a99e1915d619150dc441dbf259d38271e51..08a47d706fd1ab47b755b81ebde52da70fe88c0f 100644
--- a/manifests/batches/mathlib/001464.json
+++ b/manifests/batches/mathlib/001464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001464",
   "batch_fingerprint": "f7fbe173583afce6b876c1a152cadcbb0b26de50ff6b14bcf4637947531baa23",
   "evidence": {
@@ -800,22 +799,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001464-0000-25abe871dbf1a5a5.parquet",
-      "sha256": "25abe871dbf1a5a5101846621f848a1a16070b453892f3db7443253f27579d05",
-      "bytes": 150687,
-      "rows": 39,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001464-0000-620f8fa1fdb65049.parquet",
-      "sha256": "620f8fa1fdb650499a43dc12ef092715fafa4c7e5bb66d20c34908897bff7499",
-      "bytes": 48632,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirichletCharacter.Even.eval_neg",
     "mathlib:DirichletCharacter.Even.toUnitHom_eval_neg_one",
@@ -861,5 +845,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DirichletCharacter/Basic.lean\",null,null,\"DirichletCharacter.toUnitHom_eq_char'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DirichletCharacter/Basic.lean\",null,null,\"DirichletCharacter.toUnitHom_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/DirichletCharacter/Bounds.lean\",null,null,\"DirichletCharacter.unit_norm_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150687,
+      "path": "data/train/p3c/mathlib-001464-0000-25abe871dbf1a5a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "25abe871dbf1a5a5101846621f848a1a16070b453892f3db7443253f27579d05"
+    },
+    {
+      "bytes": 48632,
+      "path": "data/dev/p3c/mathlib-001464-0000-620f8fa1fdb65049.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "620f8fa1fdb650499a43dc12ef092715fafa4c7e5bb66d20c34908897bff7499"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001465.json b/manifests/batches/mathlib/001465.json
index 3dd613dacc354ce7fe40cac1d94aa220dec3ebaf..c4febc62ede67b7866aec49e5e1ff9d8f345a76a 100644
--- a/manifests/batches/mathlib/001465.json
+++ b/manifests/batches/mathlib/001465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001465",
   "batch_fingerprint": "5dddb3cc36f1eb2b4ccbf433a237cf00e9a0d2b906db9df7305d4ee5e8502caf",
   "evidence": {
@@ -2225,29 +2224,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001465-0000-200978e76f8d28c9.parquet",
-      "sha256": "200978e76f8d28c9eb1df9ab13dd02103f35c404af9b910ecff7c294850d1460",
-      "bytes": 171013,
-      "rows": 63,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001465-0000-db556b4ce92efd99.parquet",
-      "sha256": "db556b4ce92efd99f5e5d7fc02ce6c3f2c84674fdcf451c883129ac7e5bc8222",
-      "bytes": 30792,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001465-0000-4f588f599b93d27e.parquet",
-      "sha256": "4f588f599b93d27ef522e47866f9b65f99ce67d8d70c49d3b835294300fa04ec",
-      "bytes": 55499,
-      "rows": 8,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.divisors",
     "mathlib:Nat.Prime.prod_divisors",
@@ -2329,5 +2306,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Divisors.lean\",null,null,\"Nat.properDivisors_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Divisors.lean\",null,null,\"Nat.snd_mem_divisors_of_mem_antidiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Divisors.lean\",null,null,\"Nat.swap_mem_divisorsAntidiagonal_aux\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171013,
+      "path": "data/train/p73/mathlib-001465-0000-200978e76f8d28c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "200978e76f8d28c9eb1df9ab13dd02103f35c404af9b910ecff7c294850d1460"
+    },
+    {
+      "bytes": 30792,
+      "path": "data/dev/p73/mathlib-001465-0000-db556b4ce92efd99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "db556b4ce92efd99f5e5d7fc02ce6c3f2c84674fdcf451c883129ac7e5bc8222"
+    },
+    {
+      "bytes": 55499,
+      "path": "data/internal_test/p73/mathlib-001465-0000-4f588f599b93d27e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4f588f599b93d27ef522e47866f9b65f99ce67d8d70c49d3b835294300fa04ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001466.json b/manifests/batches/mathlib/001466.json
index 20312252dcc3c43b398fcbc99602c18a9f624623..5b9c0097a46020a0459b89d80c54a61326a4101d 100644
--- a/manifests/batches/mathlib/001466.json
+++ b/manifests/batches/mathlib/001466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001466",
   "batch_fingerprint": "30e65579693523cd94be38a9c1f061bfe40449ec3b5ae46a90a5d4552c502f54",
   "evidence": {
@@ -1156,29 +1155,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001466-0000-ebbc2549aa4d0f1c.parquet",
-      "sha256": "ebbc2549aa4d0f1c0751b88053da0a955ab7ea9d9e6e267f0ca980a9ec175a67",
-      "bytes": 201835,
-      "rows": 48,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001466-0000-8b79a23f451e38f8.parquet",
-      "sha256": "8b79a23f451e38f86da3657df8daf3d0ec04c3ddb8bd1bb026046d4216a0a1dc",
-      "bytes": 71070,
-      "rows": 7,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001466-0000-d88e568f8c619ddc.parquet",
-      "sha256": "d88e568f8c619ddc40556bc8902f3368c29de0d1a8621e11cac61f99b6a53ab5",
-      "bytes": 59523,
-      "rows": 9,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EulerProduct.eulerProduct",
     "mathlib:EulerProduct.eulerProduct_completely_multiplicative",
@@ -1244,5 +1221,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/EulerProduct/Basic.lean\",null,null,\"EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/EulerProduct/Basic.lean\",null,null,\"EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/EulerProduct/Basic.lean\",null,null,\"Summable.norm_lt_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201835,
+      "path": "data/train/pe0/mathlib-001466-0000-ebbc2549aa4d0f1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "ebbc2549aa4d0f1c0751b88053da0a955ab7ea9d9e6e267f0ca980a9ec175a67"
+    },
+    {
+      "bytes": 71070,
+      "path": "data/dev/pe0/mathlib-001466-0000-8b79a23f451e38f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8b79a23f451e38f86da3657df8daf3d0ec04c3ddb8bd1bb026046d4216a0a1dc"
+    },
+    {
+      "bytes": 59523,
+      "path": "data/internal_test/pe0/mathlib-001466-0000-d88e568f8c619ddc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d88e568f8c619ddc40556bc8902f3368c29de0d1a8621e11cac61f99b6a53ab5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001467.json b/manifests/batches/mathlib/001467.json
index 5cbbe1c33b3d659611c03e1f72e35607456b2745..d78435417a8bab6093b13e39835ff27be94d4733 100644
--- a/manifests/batches/mathlib/001467.json
+++ b/manifests/batches/mathlib/001467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001467",
   "batch_fingerprint": "1f2e9454ee37ace86da30903d30893e311cb6c50fa3d1f1dd5da5c182c881821",
   "evidence": {
@@ -1352,22 +1351,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001467-0000-ec43b0f05f8444a5.parquet",
-      "sha256": "ec43b0f05f8444a5851cd3ddf8db4d9a0d1052b74190f705735b8b36b143d9e3",
-      "bytes": 73337,
-      "rows": 18,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001467-0000-e11a9476633683c6.parquet",
-      "sha256": "e11a9476633683c6e127eee0fddccbce18f63cac18f5184f6b0e05f3336ab5f2",
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-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FermatLastTheoremFor.mono",
     "mathlib:FermatLastTheoremWith.mono",
@@ -1389,5 +1373,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Basic.lean\",null,null,\"FermatLastTheoremFor.mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Basic.lean\",null,null,\"FermatLastTheoremWith.mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Basic.lean\",null,null,\"fermatLastTheoremFor_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73337,
+      "path": "data/train/p99/mathlib-001467-0000-ec43b0f05f8444a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ec43b0f05f8444a5851cd3ddf8db4d9a0d1052b74190f705735b8b36b143d9e3"
+    },
+    {
+      "bytes": 48553,
+      "path": "data/internal_test/p99/mathlib-001467-0000-e11a9476633683c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e11a9476633683c6e127eee0fddccbce18f63cac18f5184f6b0e05f3336ab5f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001468.json b/manifests/batches/mathlib/001468.json
index ac11e259ac151448e395bcd44d483a3edfe4af35..2d37b5e9f8df240104cf877e3dc5b3dd570d0100 100644
--- a/manifests/batches/mathlib/001468.json
+++ b/manifests/batches/mathlib/001468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001468",
   "batch_fingerprint": "3c8b966ba0b27802709bd715d22a053b31933e645305536f1f469b860313d404",
   "evidence": {
@@ -3511,29 +3510,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001468-0000-e48792275f63c2b9.parquet",
-      "sha256": "e48792275f63c2b97f75bfe32b4fcb44d3746136b0ff8755c1ec70b4a3d27933",
-      "bytes": 72751,
-      "rows": 16,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001468-0000-4271ef01f510a84c.parquet",
-      "sha256": "4271ef01f510a84c8df82caa12e41f7c2dc2263073e4e91ed1b2c7f60a709a13",
-      "bytes": 36383,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001468-0000-567e15c76c47bf07.parquet",
-      "sha256": "567e15c76c47bf070f3b31405f2d97599e860e2986939c7e00a0e4c8d3e14d47",
-      "bytes": 57653,
-      "rows": 7,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fermat42.comm",
     "mathlib:FermatLastTheoremForThreeGen.Solution'.two_le_multiplicity",
@@ -3555,5 +3532,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Three.lean\",null,null,\"FermatLastTheoremForThreeGen.exists_Solution_of_Solution'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Three.lean\",null,null,\"cube_of_not_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FLT/Three.lean\",null,null,\"fermatLastTheoremThree_case_1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72751,
+      "path": "data/train/p17/mathlib-001468-0000-e48792275f63c2b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e48792275f63c2b97f75bfe32b4fcb44d3746136b0ff8755c1ec70b4a3d27933"
+    },
+    {
+      "bytes": 36383,
+      "path": "data/dev/p17/mathlib-001468-0000-4271ef01f510a84c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4271ef01f510a84c8df82caa12e41f7c2dc2263073e4e91ed1b2c7f60a709a13"
+    },
+    {
+      "bytes": 57653,
+      "path": "data/internal_test/p17/mathlib-001468-0000-567e15c76c47bf07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "567e15c76c47bf070f3b31405f2d97599e860e2986939c7e00a0e4c8d3e14d47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001469.json b/manifests/batches/mathlib/001469.json
index 93ffa4353224b54cec33c2a53444522d01d4383d..a2e80123eb062307db38d3028dafe1c89af86fb3 100644
--- a/manifests/batches/mathlib/001469.json
+++ b/manifests/batches/mathlib/001469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001469",
   "batch_fingerprint": "8cd27cf0a50a5c26a188bea42f08485ec89a39ac096974bed7af2b3d6d7b5e2c",
   "evidence": {
@@ -2224,19 +2223,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001469-0000-2d128eda51f97f23.parquet",
-      "sha256": "2d128eda51f97f23dd8bff324b9b06d633d3b326670f91167951eb9eafcc21a2",
-      "bytes": 42837,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.frequently_atTop_fermatPsp"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/FermatPsp.lean\",null,null,\"Nat.frequently_atTop_fermatPsp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42837,
+      "path": "data/train/p6d/mathlib-001469-0000-2d128eda51f97f23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2d128eda51f97f23dd8bff324b9b06d633d3b326670f91167951eb9eafcc21a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001470.json b/manifests/batches/mathlib/001470.json
index c40b7f2eeb56c0c158c0a921c0cc641899368c1f..693efdedec9175f2c23e47cb3549d0aaa4e999ec 100644
--- a/manifests/batches/mathlib/001470.json
+++ b/manifests/batches/mathlib/001470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001470",
   "batch_fingerprint": "8715689cd98a3bcdd12b0b0beb5e4f4427a96e074c0310b0661537a626e0cca1",
   "evidence": {
@@ -1376,29 +1375,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001470-0000-0a4ac8260768cc63.parquet",
-      "sha256": "0a4ac8260768cc6324aa0efd578152b16f4f40edf3af626306cdac30342cb144",
-      "bytes": 119523,
-      "rows": 25,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/dev/mathlib-001470-0000-4de3b96d19167097.parquet",
-      "sha256": "4de3b96d191670974ec6c4867f180c024cf0e70e49b7f332e0d58d7ebcace9ca",
-      "bytes": 61045,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001470-0000-6aa0c27ed440a3e6.parquet",
-      "sha256": "6aa0c27ed440a3e697f3982e2ea24d9e4679c24ba12197f3907fc662b6f2ff63",
-      "bytes": 60491,
-      "rows": 2,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Char.card_pow_card",
     "mathlib:FunctionField.InftyValuation.map_one'",
@@ -1422,5 +1399,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/GaussSum.lean\",null,null,\"gaussSum_frob\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/GaussSum.lean\",null,null,\"gaussSum_mulShift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/GaussSum.lean\",null,null,\"gaussSum_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119523,
+      "path": "data/train/pb4/mathlib-001470-0000-0a4ac8260768cc63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0a4ac8260768cc6324aa0efd578152b16f4f40edf3af626306cdac30342cb144"
+    },
+    {
+      "bytes": 61045,
+      "path": "data/dev/pb4/mathlib-001470-0000-4de3b96d19167097.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4de3b96d191670974ec6c4867f180c024cf0e70e49b7f332e0d58d7ebcace9ca"
+    },
+    {
+      "bytes": 60491,
+      "path": "data/internal_test/pb4/mathlib-001470-0000-6aa0c27ed440a3e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6aa0c27ed440a3e697f3982e2ea24d9e4679c24ba12197f3907fc662b6f2ff63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001471.json b/manifests/batches/mathlib/001471.json
index b308b327a7cf40ebeae2e673dba2c865e37fb1c6..8446d9ab909d93c1601e14733ce445fa95b1d98a 100644
--- a/manifests/batches/mathlib/001471.json
+++ b/manifests/batches/mathlib/001471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001471",
   "batch_fingerprint": "44153f1fe19d897aac0f6fd1091094f5ce7409d033db71d4b6bca79b2f018125",
   "evidence": {
@@ -487,15 +486,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001471-0000-92b2a95dc64fb9ce.parquet",
-      "sha256": "92b2a95dc64fb9ce47dae9ef1be2c381971447e6fac92b1bf5c011584f762aca",
-      "bytes": 37727,
-      "rows": 5,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:harmonic_eq_sum_Icc",
     "mathlib:harmonic_pos"
@@ -503,5 +494,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/Defs.lean\",null,null,\"harmonic_eq_sum_Icc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/Defs.lean\",null,null,\"harmonic_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 37727,
+      "path": "data/train/pcf/mathlib-001471-0000-92b2a95dc64fb9ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "92b2a95dc64fb9ce47dae9ef1be2c381971447e6fac92b1bf5c011584f762aca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001472.json b/manifests/batches/mathlib/001472.json
index 1370571763420ea7c2b6f23f9de8cfcb2bf88593..af368d4445bbf06d22f680f856e15392a19cc0e6 100644
--- a/manifests/batches/mathlib/001472.json
+++ b/manifests/batches/mathlib/001472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001472",
   "batch_fingerprint": "d5c0f51c389168fa5e0093078bc3a72d725ec57b58964379a7f763703ed12822",
   "evidence": {
@@ -2237,22 +2236,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001472-0000-f23d3814d70ea493.parquet",
-      "sha256": "f23d3814d70ea4932718efce36e2fb9733d01b0a343734efe4b85e3a0a30a802",
-      "bytes": 59837,
-      "rows": 15,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001472-0000-b02901345ffcb6de.parquet",
-      "sha256": "b02901345ffcb6de4f6d499992459d4a187032b3c1b34601badbc9166141ae07",
-      "bytes": 48059,
-      "rows": 3,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.HasDerivAt.complex_of_real",
     "mathlib:Complex.differentiable_at_Gamma_nat_add_one",
@@ -2276,5 +2260,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/GammaDeriv.lean\",null,null,\"Complex.hasDerivAt_Gamma_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/GammaDeriv.lean\",null,null,\"Real.hasDerivAt_Gamma_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/GammaDeriv.lean\",null,null,\"Real.hasDerivAt_Gamma_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59837,
+      "path": "data/train/p72/mathlib-001472-0000-f23d3814d70ea493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f23d3814d70ea4932718efce36e2fb9733d01b0a343734efe4b85e3a0a30a802"
+    },
+    {
+      "bytes": 48059,
+      "path": "data/internal_test/p72/mathlib-001472-0000-b02901345ffcb6de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b02901345ffcb6de4f6d499992459d4a187032b3c1b34601badbc9166141ae07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001473.json b/manifests/batches/mathlib/001473.json
index 04b19e1733b093ccbc65cd2b8f77dbc9331b52f4..d5623842fa28a1b6d1813db97714e0c5ee9a643d 100644
--- a/manifests/batches/mathlib/001473.json
+++ b/manifests/batches/mathlib/001473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001473",
   "batch_fingerprint": "277df681118341a75f8684ae75d10fa8d63ba725a057b70361d69e588b1eeeab",
   "evidence": {
@@ -2680,22 +2679,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001473-0000-d8d2256ebe8a722b.parquet",
-      "sha256": "d8d2256ebe8a722bde348382d0e54cdf0cb218e1e85c67dd284f7a743198e0b2",
-      "bytes": 68386,
-      "rows": 20,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    },
-    {
-      "path": "data/internal_test/mathlib-001473-0000-d239577e7473104a.parquet",
-      "sha256": "d239577e7473104a3fb70fe080e23f5ee44ddbd12bb05b5745b2987b4e875256",
-      "bytes": 53165,
-      "rows": 4,
-      "revision": "d5dbfa822accb872ec9d28d9e3efa53b1d061b81"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gamma\u211d",
     "mathlib:ZetaAsymptotics.term_tsum_one",
@@ -2713,5 +2697,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean\",null,null,\"completedRiemannZeta\u2080_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean\",null,null,\"isBigO_riemannZeta_sub_one_div\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean\",null,null,\"riemannZeta_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68386,
+      "path": "data/train/p69/mathlib-001473-0000-d8d2256ebe8a722b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d8d2256ebe8a722bde348382d0e54cdf0cb218e1e85c67dd284f7a743198e0b2"
+    },
+    {
+      "bytes": 53165,
+      "path": "data/internal_test/p69/mathlib-001473-0000-d239577e7473104a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d239577e7473104a3fb70fe080e23f5ee44ddbd12bb05b5745b2987b4e875256"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001474.json b/manifests/batches/mathlib/001474.json
index 5aba0fda11921fc6444a050f490b224860bae8a0..cda3a8e1f12ea56337617a251045de38bfcf056e 100644
--- a/manifests/batches/mathlib/001474.json
+++ b/manifests/batches/mathlib/001474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001474",
   "batch_fingerprint": "60c7dc5194e112e5e1b4ad06c33d6c686ec3c4f2893a9fd6b7d224260c5ceaea",
   "evidence": {
@@ -2795,15 +2794,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001474-0000-d109e4f3bf87706a.parquet",
-      "sha256": "d109e4f3bf87706aaa2536abbfe2ec31a2e905e03a60274f25966a1bf0a5b496",
-      "bytes": 81818,
-      "rows": 20,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:StrongFEPair.hf_top'",
     "mathlib:StrongFEPair.hf_zero'",
@@ -2821,5 +2812,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/AbstractFuncEq.lean\",null,null,\"WeakFEPair.hasMellin\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/AbstractFuncEq.lean\",null,null,\"WeakFEPair.symm_\u039b\u2080_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/AbstractFuncEq.lean\",null,null,\"WeakFEPair.\u039b\u2080_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81818,
+      "path": "data/train/p88/mathlib-001474-0000-d109e4f3bf87706a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d109e4f3bf87706aaa2536abbfe2ec31a2e905e03a60274f25966a1bf0a5b496"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001475.json b/manifests/batches/mathlib/001475.json
index 58e5b2b07f0c82368b371c1fcd47d419306952db..50f62b18877896620c071c82c3f0f2e0e79bf9d0 100644
--- a/manifests/batches/mathlib/001475.json
+++ b/manifests/batches/mathlib/001475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001475",
   "batch_fingerprint": "8d2a055fc7f60032e84fdbc4198c333c3eddba68af27f40a4ae6158ce2d443d7",
   "evidence": {
@@ -1529,29 +1528,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001475-0000-dc3e4dcdc9ac349b.parquet",
-      "sha256": "dc3e4dcdc9ac349be752f0a34a9f69820e5004f72ceef8d89fd4001fb2e54656",
-      "bytes": 69526,
-      "rows": 20,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001475-0000-4fe7ca0368f77f47.parquet",
-      "sha256": "4fe7ca0368f77f471f40a6960ca2f9d6d2600df9b03a511f5346a77418020de5",
-      "bytes": 57532,
-      "rows": 4,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001475-0000-2c7b4fbca2c1e491.parquet",
-      "sha256": "2c7b4fbca2c1e491494457887224ce921840e7e2ea2c01752386a3640992ccf1",
-      "bytes": 43493,
-      "rows": 7,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LSeries.mul_delta",
     "mathlib:LSeries.mul_delta_eq_smul_delta",
@@ -1583,5 +1560,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Basic.lean\",null,null,\"LSeries_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Convergence.lean\",null,null,\"LSeriesSummable_lt_re_of_abscissaOfAbsConv_lt_re\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Convergence.lean\",null,null,\"LSeriesSummable_of_abscissaOfAbsConv_lt_re\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69526,
+      "path": "data/train/p2a/mathlib-001475-0000-dc3e4dcdc9ac349b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "dc3e4dcdc9ac349be752f0a34a9f69820e5004f72ceef8d89fd4001fb2e54656"
+    },
+    {
+      "bytes": 57532,
+      "path": "data/dev/p2a/mathlib-001475-0000-4fe7ca0368f77f47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4fe7ca0368f77f471f40a6960ca2f9d6d2600df9b03a511f5346a77418020de5"
+    },
+    {
+      "bytes": 43493,
+      "path": "data/internal_test/p2a/mathlib-001475-0000-2c7b4fbca2c1e491.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2c7b4fbca2c1e491494457887224ce921840e7e2ea2c01752386a3640992ccf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001476.json b/manifests/batches/mathlib/001476.json
index 0d1f773e672fa9cc8df5f8c036312927aade48a1..d2dde02986e2f918bd418972dec6d9b141dcb652 100644
--- a/manifests/batches/mathlib/001476.json
+++ b/manifests/batches/mathlib/001476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001476",
   "batch_fingerprint": "eaaf98a339a9da0e5c836eaf3ade698f1ede854fb039ca847529a5586069fa3d",
   "evidence": {
@@ -1032,22 +1031,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001476-0000-59683af27262dc7d.parquet",
-      "sha256": "59683af27262dc7d52c86b906a4878ecf949a091cf2551303a62fe526e276703",
-      "bytes": 73714,
-      "rows": 12,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001476-0000-442664c5c3a00da7.parquet",
-      "sha256": "442664c5c3a00da7861f1e7fe83fd723a6ac5d4d2abb6fdb28c4097e8d510a29",
-      "bytes": 43925,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ArithmeticFunction.coe_mul",
     "mathlib:ArithmeticFunction.toArithmeticFunction_eq_self",
@@ -1063,5 +1047,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Convolution.lean\",null,null,\"LSeries.convolution_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Convolution.lean\",null,null,\"LSeries.convolution_map_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Convolution.lean\",null,null,\"LSeriesHasSum.convolution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73714,
+      "path": "data/train/p96/mathlib-001476-0000-59683af27262dc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "59683af27262dc7d52c86b906a4878ecf949a091cf2551303a62fe526e276703"
+    },
+    {
+      "bytes": 43925,
+      "path": "data/dev/p96/mathlib-001476-0000-442664c5c3a00da7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "442664c5c3a00da7861f1e7fe83fd723a6ac5d4d2abb6fdb28c4097e8d510a29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001477.json b/manifests/batches/mathlib/001477.json
index 9f3920c23fa146b0eac007f792b537cb347799af..1d708ea4a1be255b5a5ea491b8d9bec8856ca3e1 100644
--- a/manifests/batches/mathlib/001477.json
+++ b/manifests/batches/mathlib/001477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001477",
   "batch_fingerprint": "0e4c0aae957f9c8cc170bce533fa91893d320d09aa0db26bfe742366576789dd",
   "evidence": {
@@ -1763,29 +1762,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001477-0000-04f78a5ad483ebd2.parquet",
-      "sha256": "04f78a5ad483ebd258f83c644872c7a9fd803ab97aef4bcde02e8673ad75b832",
-      "bytes": 145655,
-      "rows": 39,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001477-0000-a0244c5ea9d012b5.parquet",
-      "sha256": "a0244c5ea9d012b5a3ef3ca7d2b3bc2dd767193292967f34232afdd403ce8f4b",
-      "bytes": 40910,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001477-0000-894f53f6977f7ca0.parquet",
-      "sha256": "894f53f6977f7ca03bff6897fe87c098be581934e77fbd38e0b3225a88a76e63",
-      "bytes": 38189,
-      "rows": 2,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ArithmeticFunction.LSeries_vonMangoldt_eq",
     "mathlib:ArithmeticFunction.LSeries_zeta_eq",
@@ -1833,5 +1810,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZeta.lean\",null,null,\"HurwitzZeta.hurwitzZetaOdd_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZeta.lean\",null,null,\"HurwitzZeta.sinZeta_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZeta.lean\",null,null,\"HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145655,
+      "path": "data/train/pf8/mathlib-001477-0000-04f78a5ad483ebd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "04f78a5ad483ebd258f83c644872c7a9fd803ab97aef4bcde02e8673ad75b832"
+    },
+    {
+      "bytes": 40910,
+      "path": "data/dev/pf8/mathlib-001477-0000-a0244c5ea9d012b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a0244c5ea9d012b5a3ef3ca7d2b3bc2dd767193292967f34232afdd403ce8f4b"
+    },
+    {
+      "bytes": 38189,
+      "path": "data/internal_test/pf8/mathlib-001477-0000-894f53f6977f7ca0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "894f53f6977f7ca03bff6897fe87c098be581934e77fbd38e0b3225a88a76e63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001478.json b/manifests/batches/mathlib/001478.json
index 21fd366693f01d6c263eb514182c5e5de83cb2dc..2cf915a8a3469b2b31f51b1e303623dc2451d86f 100644
--- a/manifests/batches/mathlib/001478.json
+++ b/manifests/batches/mathlib/001478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001478",
   "batch_fingerprint": "d3a45113036b2f2ea5d3ce50c4fa34c9fb9d972de0168df3ac9ed47a71e6223f",
   "evidence": {
@@ -5336,29 +5335,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001478-0000-ab2072f4c0971b4c.parquet",
-      "sha256": "ab2072f4c0971b4c342435f0b81ed65fa32339e0f5a91c6ffa2962d983e11818",
-      "bytes": 283561,
-      "rows": 75,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001478-0000-f8967ea7a67f64f6.parquet",
-      "sha256": "f8967ea7a67f64f6ddd0861281c80679fa71729a496e9633afb264bdf1a1cc63",
-      "bytes": 50330,
-      "rows": 4,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001478-0000-6224c7f85982f75b.parquet",
-      "sha256": "6224c7f85982f75b1fa6159765569e5f648425c62fe00e2ebb4d970d2cc0f453",
-      "bytes": 45928,
-      "rows": 6,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HurwitzZeta.completedCosZeta_neg",
     "mathlib:HurwitzZeta.completedCosZeta_one_sub",
@@ -5438,5 +5415,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean\",null,null,\"HurwitzZeta.sinKernel_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean\",null,null,\"HurwitzZeta.sinKernel_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean\",null,null,\"HurwitzZeta.sinZeta_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283561,
+      "path": "data/train/p23/mathlib-001478-0000-ab2072f4c0971b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "ab2072f4c0971b4c342435f0b81ed65fa32339e0f5a91c6ffa2962d983e11818"
+    },
+    {
+      "bytes": 50330,
+      "path": "data/dev/p23/mathlib-001478-0000-f8967ea7a67f64f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f8967ea7a67f64f6ddd0861281c80679fa71729a496e9633afb264bdf1a1cc63"
+    },
+    {
+      "bytes": 45928,
+      "path": "data/internal_test/p23/mathlib-001478-0000-6224c7f85982f75b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6224c7f85982f75b1fa6159765569e5f648425c62fe00e2ebb4d970d2cc0f453"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001479.json b/manifests/batches/mathlib/001479.json
index b93ce06689f470b7f8d17aa5e59efbae3851ee6a..97e06d7fc308374121e30c691f947a69dd83828c 100644
--- a/manifests/batches/mathlib/001479.json
+++ b/manifests/batches/mathlib/001479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001479",
   "batch_fingerprint": "232fd308f763d4edf58db17914cf9a4f8f0c706a1c7456d549106daca37661cf",
   "evidence": {
@@ -1230,29 +1229,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001479-0000-af5d87a0897636fb.parquet",
-      "sha256": "af5d87a0897636fb1be478b825446a9e6848c11740df4a1098eed94e014cb13b",
-      "bytes": 45255,
-      "rows": 13,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001479-0000-634ad664109afc21.parquet",
-      "sha256": "634ad664109afc2113ebe0b57035adff9eaf8e836eb527217afee5c7b4826710",
-      "bytes": 39525,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001479-0000-ab1e8883fcc8141a.parquet",
-      "sha256": "ab1e8883fcc8141ad08661c3a0b0ac4f00af58c261623f68e9c99bf346b3605b",
-      "bytes": 43261,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LSeries.term_add_apply",
     "mathlib:LSeries.term_neg_apply",
@@ -1294,5 +1271,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Linearity.lean\",null,null,\"LSeries_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Linearity.lean\",null,null,\"LSeries_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/Linearity.lean\",null,null,\"LSeries_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45255,
+      "path": "data/train/p4d/mathlib-001479-0000-af5d87a0897636fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "af5d87a0897636fb1be478b825446a9e6848c11740df4a1098eed94e014cb13b"
+    },
+    {
+      "bytes": 39525,
+      "path": "data/dev/p4d/mathlib-001479-0000-634ad664109afc21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "634ad664109afc2113ebe0b57035adff9eaf8e836eb527217afee5c7b4826710"
+    },
+    {
+      "bytes": 43261,
+      "path": "data/internal_test/p4d/mathlib-001479-0000-ab1e8883fcc8141a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ab1e8883fcc8141ad08661c3a0b0ac4f00af58c261623f68e9c99bf346b3605b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001480.json b/manifests/batches/mathlib/001480.json
index 666f8e2a5cc9f7528245d6b86c3d78cba9127042..0cdd6b6237d94ff728c7665403965eae783c664d 100644
--- a/manifests/batches/mathlib/001480.json
+++ b/manifests/batches/mathlib/001480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001480",
   "batch_fingerprint": "63fc32b8745fd9c6bbc3b160259d1f778bee4f48cbe5a8d826c1366fbff2a61a",
   "evidence": {
@@ -1328,22 +1327,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001480-0000-14d085ebdadbe9e0.parquet",
-      "sha256": "14d085ebdadbe9e0d5c42dc9d13ac8a5b2d588782fb0b9e89d578f3082145582",
-      "bytes": 49203,
-      "rows": 14,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001480-0000-3e6fc32f74a8ee53.parquet",
-      "sha256": "3e6fc32f74a8ee5357cfa119918ea5edb1efc9886a2fa796e1e35fe3c6ce1518",
-      "bytes": 43220,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HurwitzZeta.completedCosZeta_zero",
     "mathlib:HurwitzZeta.completedCosZeta\u2080_zero",
@@ -1373,5 +1357,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/RiemannZeta.lean\",null,null,\"riemannZeta_residue_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/RiemannZeta.lean\",null,null,\"riemannZeta_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LSeries/RiemannZeta.lean\",null,null,\"zeta_eq_tsum_one_div_nat_cpow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49203,
+      "path": "data/train/p4c/mathlib-001480-0000-14d085ebdadbe9e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "14d085ebdadbe9e0d5c42dc9d13ac8a5b2d588782fb0b9e89d578f3082145582"
+    },
+    {
+      "bytes": 43220,
+      "path": "data/dev/p4c/mathlib-001480-0000-3e6fc32f74a8ee53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3e6fc32f74a8ee5357cfa119918ea5edb1efc9886a2fa796e1e35fe3c6ce1518"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001481.json b/manifests/batches/mathlib/001481.json
index b1809b24c5576c1409b57b68367549e6d1de7627..3b86da1056a40cf753c77e0f636555d01917d24e 100644
--- a/manifests/batches/mathlib/001481.json
+++ b/manifests/batches/mathlib/001481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001481",
   "batch_fingerprint": "09c16cee6707e6d97cb966afbe0eb2973d02022c4d269cea14e62f40de6aa9a7",
   "evidence": {
@@ -1520,29 +1519,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001481-0000-f86090cc5e33abe1.parquet",
-      "sha256": "f86090cc5e33abe1c6d3ddeae3134cfb6867c8d9b52cde6e9c4239a567332220",
-      "bytes": 94249,
-      "rows": 28,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001481-0000-46744c1e677d8b74.parquet",
-      "sha256": "46744c1e677d8b746fe8a5b983f504d87eef373c039297b8dc7a577b8b46a0c6",
-      "bytes": 76673,
-      "rows": 10,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001481-0000-aab55c5c8d54680c.parquet",
-      "sha256": "aab55c5c8d54680c809acf4ad26a933cdb6ab2c79b5c0a397a3636be8514b4dd",
-      "bytes": 52904,
-      "rows": 6,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddChar.FiniteField.primitiveChar_to_Complex_isPrimitive",
     "mathlib:AddChar.IsPrimitive.compMulHom_of_isPrimitive",
@@ -1588,5 +1565,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/Basic.lean\",null,null,\"legendreSym.mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/Basic.lean\",null,null,\"legendreSym.prime_dvd_of_eq_neg_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/Basic.lean\",null,null,\"legendreSym.sq_one'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94249,
+      "path": "data/train/pf7/mathlib-001481-0000-f86090cc5e33abe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f86090cc5e33abe1c6d3ddeae3134cfb6867c8d9b52cde6e9c4239a567332220"
+    },
+    {
+      "bytes": 76673,
+      "path": "data/dev/pf7/mathlib-001481-0000-46744c1e677d8b74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "46744c1e677d8b746fe8a5b983f504d87eef373c039297b8dc7a577b8b46a0c6"
+    },
+    {
+      "bytes": 52904,
+      "path": "data/internal_test/pf7/mathlib-001481-0000-aab55c5c8d54680c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aab55c5c8d54680c809acf4ad26a933cdb6ab2c79b5c0a397a3636be8514b4dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001482.json b/manifests/batches/mathlib/001482.json
index c2438f909995566041c9fe14fdde6805762a6811..c74745bb9df24b2228c2bec59bcc5a7415615896 100644
--- a/manifests/batches/mathlib/001482.json
+++ b/manifests/batches/mathlib/001482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001482",
   "batch_fingerprint": "dd47f4f35380c9c9c7449720822dc11b0970e2630eb974049c699c1a7655fbf5",
   "evidence": {
@@ -3065,29 +3064,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001482-0000-6c99adff3c1a096f.parquet",
-      "sha256": "6c99adff3c1a096faf3bfca129c5d1fb46b49ee634565c51a54e4da0ab862fb3",
-      "bytes": 128054,
-      "rows": 35,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001482-0000-d73157608511abae.parquet",
-      "sha256": "d73157608511abae96d9153ad6d52f43d78ad041ba7c41eea88f4a336bc5dbf3",
-      "bytes": 43930,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001482-0000-e33727ee89b26bb3.parquet",
-      "sha256": "e33727ee89b26bb3d3a3c5e301a6d9f3d0e1fc551b37900950c4c53b944b1151",
-      "bytes": 44634,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZMod.eisenstein_lemma_aux",
     "mathlib:ZMod.isSquare_of_jacobiSym_eq_one",
@@ -3137,5 +3114,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean\",null,null,\"qrSign.mul_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean\",null,null,\"qrSign.sq_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean\",null,null,\"qrSign.symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128054,
+      "path": "data/train/pdb/mathlib-001482-0000-6c99adff3c1a096f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "6c99adff3c1a096faf3bfca129c5d1fb46b49ee634565c51a54e4da0ab862fb3"
+    },
+    {
+      "bytes": 43930,
+      "path": "data/dev/pdb/mathlib-001482-0000-d73157608511abae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d73157608511abae96d9153ad6d52f43d78ad041ba7c41eea88f4a336bc5dbf3"
+    },
+    {
+      "bytes": 44634,
+      "path": "data/internal_test/pdb/mathlib-001482-0000-e33727ee89b26bb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e33727ee89b26bb3d3a3c5e301a6d9f3d0e1fc551b37900950c4c53b944b1151"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001483.json b/manifests/batches/mathlib/001483.json
index 58b9feeeedc3791a79abce141bcdf87fd799644d..7e2fa578fb0faaab0eef3bc3c51e4d68486354ae 100644
--- a/manifests/batches/mathlib/001483.json
+++ b/manifests/batches/mathlib/001483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001483",
   "batch_fingerprint": "f5202763921914ed26b09f08643ddb72fff0659d78fde929aadbc5e989f5e3c3",
   "evidence": {
@@ -1556,22 +1555,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001483-0000-1d9de952bda85adf.parquet",
-      "sha256": "1d9de952bda85adf02969e692864fe6ad7a8c6ff51531fc98a9a1b4e386f0440",
-      "bytes": 82439,
-      "rows": 19,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001483-0000-41e25655d02abd1c.parquet",
-      "sha256": "41e25655d02abd1cae114c12fb26e55592a2c901f512c618f47697257c1947d2",
-      "bytes": 41318,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:quadraticCharFun_eq_one_of_char_two",
     "mathlib:quadraticCharFun_eq_pow_of_char_ne_two",
@@ -1597,5 +1581,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean\",null,null,\"quadraticChar_sq_one'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean\",null,null,\"quadraticChar_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/GaussSum.lean\",null,null,\"quadraticChar_odd_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82439,
+      "path": "data/train/p53/mathlib-001483-0000-1d9de952bda85adf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1d9de952bda85adf02969e692864fe6ad7a8c6ff51531fc98a9a1b4e386f0440"
+    },
+    {
+      "bytes": 41318,
+      "path": "data/internal_test/p53/mathlib-001483-0000-41e25655d02abd1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "41e25655d02abd1cae114c12fb26e55592a2c901f512c618f47697257c1947d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001484.json b/manifests/batches/mathlib/001484.json
index dbfc6b2bef6cce9b73f13ace9b34ad7f11eb4a6f..cad4882eaac05c93143b41e8a89f3bc55fd8b1b7 100644
--- a/manifests/batches/mathlib/001484.json
+++ b/manifests/batches/mathlib/001484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001484",
   "batch_fingerprint": "8fd1551ed7f8025862b4f52d399ecad293c7966d35eead5e9261e3ee958562c3",
   "evidence": {
@@ -1124,15 +1123,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001484-0000-72638bf0f2125592.parquet",
-      "sha256": "72638bf0f21255929b60c03f667203426c154a694fe21ee530cd7c2d0b9fc2db",
-      "bytes": 54516,
-      "rows": 23,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZMod.exists_sq_eq_prime_iff_of_mod_four_eq_three",
     "mathlib:ZMod.isQuadratic_\u03c7\u2084",
@@ -1166,5 +1157,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean\",null,null,\"ZMod.\u03c7\u2088'_eq_\u03c7\u2084_mul_\u03c7\u2088\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean\",null,null,\"ZMod.\u03c7\u2088_int_mod_eight\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean\",null,null,\"ZMod.\u03c7\u2088_nat_mod_eight\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54516,
+      "path": "data/train/p61/mathlib-001484-0000-72638bf0f2125592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "72638bf0f21255929b60c03f667203426c154a694fe21ee530cd7c2d0b9fc2db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001485.json b/manifests/batches/mathlib/001485.json
index 77c45e1725d1cd94d2348b8c7ed5e9b4907c57e7..2a80210c7ace770166bc43cdda55c3d5c31895ca 100644
--- a/manifests/batches/mathlib/001485.json
+++ b/manifests/batches/mathlib/001485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001485",
   "batch_fingerprint": "7fa38ff011475803dd83a2a93a95415df8b2d02f47de5e965dac3570ed83b4de",
   "evidence": {
@@ -1307,19 +1306,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001485-0000-32aba28283ddfae5.parquet",
-      "sha256": "32aba28283ddfae52710f15cfaa4bb01742a1fee53ae26b3b89097f87d2fc207",
-      "bytes": 40296,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LiouvilleNumber.remainder_summable"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Liouville/LiouvilleNumber.lean\",null,null,\"LiouvilleNumber.remainder_summable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40296,
+      "path": "data/train/p8f/mathlib-001485-0000-32aba28283ddfae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "32aba28283ddfae52710f15cfaa4bb01742a1fee53ae26b3b89097f87d2fc207"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001486.json b/manifests/batches/mathlib/001486.json
index 83842374ce0beeee2283ffb5da67b0cc5853b8a7..9d6a60a67b2b1d9014f807924ec9d7bc1e88a7b6 100644
--- a/manifests/batches/mathlib/001486.json
+++ b/manifests/batches/mathlib/001486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001486",
   "batch_fingerprint": "c21df67696fa1669c94b2795f16184af9f0b170e96d1f8eb5722a5ae351a820d",
   "evidence": {
@@ -2084,29 +2083,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001486-0000-0ed26558bcb0a4c3.parquet",
-      "sha256": "0ed26558bcb0a4c399ebc40b47cdef1325e1de83d5dfc9901e9996cd8144de50",
-      "bytes": 118498,
-      "rows": 38,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001486-0000-ce7feca5c12cadda.parquet",
-      "sha256": "ce7feca5c12caddab92ccfc170cb4f3fa0c3e95f8020948a3eaa705ce09bce59",
-      "bytes": 31518,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001486-0000-854023f869ff1e80.parquet",
-      "sha256": "854023f869ff1e80f7c1529d7e71d80f675860918f6fe464974b1a41952e0b70",
-      "bytes": 33907,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Liouville.liouvilleWith",
     "mathlib:LiouvilleWith.add_int_iff",
@@ -2158,5 +2135,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Liouville/Measure.lean\",null,null,\"ae_not_liouville\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Liouville/Measure.lean\",null,null,\"ae_not_liouvilleWith\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Liouville/Measure.lean\",null,null,\"volume_setOf_liouville\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118498,
+      "path": "data/train/p34/mathlib-001486-0000-0ed26558bcb0a4c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "0ed26558bcb0a4c399ebc40b47cdef1325e1de83d5dfc9901e9996cd8144de50"
+    },
+    {
+      "bytes": 31518,
+      "path": "data/dev/p34/mathlib-001486-0000-ce7feca5c12cadda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ce7feca5c12caddab92ccfc170cb4f3fa0c3e95f8020948a3eaa705ce09bce59"
+    },
+    {
+      "bytes": 33907,
+      "path": "data/internal_test/p34/mathlib-001486-0000-854023f869ff1e80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "854023f869ff1e80f7c1529d7e71d80f675860918f6fe464974b1a41952e0b70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001487.json b/manifests/batches/mathlib/001487.json
index c8f5487d303c661bb0904a0e458ac6ff3b9deaac..5f90e642bd73f1d4d9d8a7857a4bb9b1d9f3922c 100644
--- a/manifests/batches/mathlib/001487.json
+++ b/manifests/batches/mathlib/001487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001487",
   "batch_fingerprint": "8311d741d76f2b8cce77b28f1e3611c123a6594f102dcc8b811676fcb489b6fd",
   "evidence": {
@@ -1785,29 +1784,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001487-0000-ea7585fad6afc2c6.parquet",
-      "sha256": "ea7585fad6afc2c69a3fe42d906e885ad2779a9a1fc3301d9d33f919a1824f2c",
-      "bytes": 128551,
-      "rows": 41,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001487-0000-d00a3662f781f85f.parquet",
-      "sha256": "d00a3662f781f85fc6fc8746ab0cd6c481382aaa6dcd0c29c71bfef7c57d3443",
-      "bytes": 26515,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001487-0000-0a161cdb878b45dd.parquet",
-      "sha256": "0a161cdb878b45ddeba59b745d0218a06772371de1d69d6348be88f6efc33313",
-      "bytes": 40075,
-      "rows": 8,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsG\u03b4.setOf_liouville",
     "mathlib:LucasLehmer.Int.coe_nat_two_pow_pred",
@@ -1853,5 +1830,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LucasLehmer.lean\",null,null,\"lucas_lehmer_sufficiency\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LucasLehmer.lean\",null,null,\"modEq_mersenne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/LucasLehmer.lean\",null,null,\"strictMono_mersenne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128551,
+      "path": "data/train/p7a/mathlib-001487-0000-ea7585fad6afc2c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "ea7585fad6afc2c69a3fe42d906e885ad2779a9a1fc3301d9d33f919a1824f2c"
+    },
+    {
+      "bytes": 26515,
+      "path": "data/dev/p7a/mathlib-001487-0000-d00a3662f781f85f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d00a3662f781f85fc6fc8746ab0cd6c481382aaa6dcd0c29c71bfef7c57d3443"
+    },
+    {
+      "bytes": 40075,
+      "path": "data/internal_test/p7a/mathlib-001487-0000-0a161cdb878b45dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0a161cdb878b45ddeba59b745d0218a06772371de1d69d6348be88f6efc33313"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001488.json b/manifests/batches/mathlib/001488.json
index f7a980768781d495ff0b05d377d6b7954b802a19..7bbbfe3c55a5e6ca32e0c84c2249fda72e5de4ae 100644
--- a/manifests/batches/mathlib/001488.json
+++ b/manifests/batches/mathlib/001488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001488",
   "batch_fingerprint": "f1621a18d849c649aba8f36e04ec3c8a1d617a33b6cf4f870635188f75778117",
   "evidence": {
@@ -380,7 +379,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001489.json b/manifests/batches/mathlib/001489.json
index e754badb5d50fb8ab0da1ceae759615be6b9c1a4..586079cf4dd74cc3c7e53f87a8457fc7eab03f23 100644
--- a/manifests/batches/mathlib/001489.json
+++ b/manifests/batches/mathlib/001489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001489",
   "batch_fingerprint": "1043ec2df135f9795cc5ab054797e006c6802635e988aaa7fcf5d5c3c4f9f003",
   "evidence": {
@@ -2798,22 +2797,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001489-0000-03a3493e9d493a18.parquet",
-      "sha256": "03a3493e9d493a182a87ec36f133b267e6c7579f689d92768e43bb29330d23a4",
-      "bytes": 69677,
-      "rows": 20,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001489-0000-c4c78f29358729c1.parquet",
-      "sha256": "c4c78f29358729c16afa729ca13a30fc0e35b240f053dc6861e08e07de020158",
-      "bytes": 43342,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModularForm.gradedMonoid_eq_of_cast",
     "mathlib:ModularGroup.abs_two_mul_re_lt_one_of_mem_fdo",
@@ -2841,5 +2825,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Modular.lean\",null,null,\"ModularGroup.re_T_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Modular.lean\",null,null,\"ModularGroup.re_T_zpow_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/Basic.lean\",null,null,\"ModularForm.gradedMonoid_eq_of_cast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69677,
+      "path": "data/train/pc0/mathlib-001489-0000-03a3493e9d493a18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "03a3493e9d493a182a87ec36f133b267e6c7579f689d92768e43bb29330d23a4"
+    },
+    {
+      "bytes": 43342,
+      "path": "data/dev/pc0/mathlib-001489-0000-c4c78f29358729c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c4c78f29358729c16afa729ca13a30fc0e35b240f053dc6861e08e07de020158"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001490.json b/manifests/batches/mathlib/001490.json
index 9c9a04037e27e52a0ece444796c30055ab5c2887..ced5ea7b2eae17634b36cd90c90a1eec813447fd 100644
--- a/manifests/batches/mathlib/001490.json
+++ b/manifests/batches/mathlib/001490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001490",
   "batch_fingerprint": "1fe246468a9ce5d3dd0680ed2e36af96db64c0313f788f8a107e794d85628586",
   "evidence": {
@@ -629,22 +628,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001490-0000-d3723ffc09e66309.parquet",
-      "sha256": "d3723ffc09e663094fa8e8f9efbcef85537f46db0ae734f4fc0484072740e07c",
-      "bytes": 84522,
-      "rows": 26,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001490-0000-dbcca0d28416f5e0.parquet",
-      "sha256": "dbcca0d28416f5e059f0ae10c922f10a1f6d07268bede884edb4418f7e094ece",
-      "bytes": 39436,
-      "rows": 4,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EisensteinSeries.pairwise_disjoint_gammaSet",
     "mathlib:EisensteinSeries.vecMul_SL2_mem_gammaSet",
@@ -670,5 +654,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean\",null,null,\"isCongruenceSubgroup_trans\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/EisensteinSeries/Basic.lean\",null,null,\"EisensteinSeries.pairwise_disjoint_gammaSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/EisensteinSeries/Basic.lean\",null,null,\"EisensteinSeries.vecMul_SL2_mem_gammaSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84522,
+      "path": "data/train/p77/mathlib-001490-0000-d3723ffc09e66309.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d3723ffc09e663094fa8e8f9efbcef85537f46db0ae734f4fc0484072740e07c"
+    },
+    {
+      "bytes": 39436,
+      "path": "data/internal_test/p77/mathlib-001490-0000-dbcca0d28416f5e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dbcca0d28416f5e059f0ae10c922f10a1f6d07268bede884edb4418f7e094ece"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001491.json b/manifests/batches/mathlib/001491.json
index 1cfae12ab8f2d768605f03631e3d48d0f5d0a22f..555ca312154e8f736cb6e89de2457dc038607cc3 100644
--- a/manifests/batches/mathlib/001491.json
+++ b/manifests/batches/mathlib/001491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001491",
   "batch_fingerprint": "c9105206e3ada7c5de9888e87315a44dae372e67e154f2c86d7150c6c62051fe",
   "evidence": {
@@ -1163,15 +1162,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001491-0000-308262c8240457a2.parquet",
-      "sha256": "308262c8240457a2e633cbbc8362edccd14a6da739ba40e653d90de6606731bc",
-      "bytes": 61233,
-      "rows": 10,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EisensteinSeries.eisSummand_extension_differentiableOn",
     "mathlib:EisensteinSeries.norm_eq_max_natAbs",
@@ -1183,5 +1174,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/EisensteinSeries/UniformConvergence.lean\",null,null,\"EisensteinSeries.norm_eq_max_natAbs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/EisensteinSeries/UniformConvergence.lean\",null,null,\"EisensteinSeries.r1_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/EisensteinSeries/UniformConvergence.lean\",null,null,\"EisensteinSeries.r_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61233,
+      "path": "data/train/pce/mathlib-001491-0000-308262c8240457a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "308262c8240457a2e633cbbc8362edccd14a6da739ba40e653d90de6606731bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001492.json b/manifests/batches/mathlib/001492.json
index 58f5233dda147064dc1a057ece1a07852716345c..ef00efbec2671b3e40801623382430327c16dd69 100644
--- a/manifests/batches/mathlib/001492.json
+++ b/manifests/batches/mathlib/001492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001492",
   "batch_fingerprint": "39f30976fd4e5f832782870f692919f56f32be79bb9d0060dcb9d2c3ddd286bd",
   "evidence": {
@@ -1564,15 +1563,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001492-0000-a33fe177c36cac8f.parquet",
-      "sha256": "a33fe177c36cac8f909b56d27aaf6582681332d153d4c09a31a3fa7273f85151",
-      "bytes": 59017,
-      "rows": 12,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HurwitzKernelBounds.F_nat_zero_le",
     "mathlib:HurwitzKernelBounds.exp_lt_aux",
@@ -1584,5 +1575,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/Bounds.lean\",null,null,\"HurwitzKernelBounds.F_nat_zero_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/Bounds.lean\",null,null,\"HurwitzKernelBounds.exp_lt_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/Bounds.lean\",null,null,\"HurwitzKernelBounds.isBigO_exp_neg_mul_of_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59017,
+      "path": "data/train/pae/mathlib-001492-0000-a33fe177c36cac8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a33fe177c36cac8f909b56d27aaf6582681332d153d4c09a31a3fa7273f85151"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001493.json b/manifests/batches/mathlib/001493.json
index c3db64a57a6e0f51898dc722617e81666cf98d2f..c71de89ca7e51e9209b4e58932a7513f08047535 100644
--- a/manifests/batches/mathlib/001493.json
+++ b/manifests/batches/mathlib/001493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001493",
   "batch_fingerprint": "79b4ae582fd316ba568ac478773c81c839b6dbc8a2159717c002424a95c69370",
   "evidence": {
@@ -728,22 +727,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001493-0000-d11a4ccd216dbb33.parquet",
-      "sha256": "d11a4ccd216dbb3392a65c779f77abd78ab4762893bf0fc2730b84ac7d8a9a38",
-      "bytes": 41168,
-      "rows": 4,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001493-0000-7af84c60dba7de13.parquet",
-      "sha256": "7af84c60dba7de13ad8c1ae411e48f97da8a763c1000b37d4993c1e8c33c9ce9",
-      "bytes": 34977,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:differentiableAt_jacobiTheta",
     "mathlib:jacobiTheta_eq_jacobiTheta\u2082",
@@ -755,5 +739,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/OneVariable.lean\",null,null,\"jacobiTheta_eq_jacobiTheta\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/OneVariable.lean\",null,null,\"jacobiTheta_eq_tsum_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/JacobiTheta/OneVariable.lean\",null,null,\"jacobiTheta_two_add\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41168,
+      "path": "data/train/p96/mathlib-001493-0000-d11a4ccd216dbb33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d11a4ccd216dbb3392a65c779f77abd78ab4762893bf0fc2730b84ac7d8a9a38"
+    },
+    {
+      "bytes": 34977,
+      "path": "data/internal_test/p96/mathlib-001493-0000-7af84c60dba7de13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7af84c60dba7de13ad8c1ae411e48f97da8a763c1000b37d4993c1e8c33c9ce9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001494.json b/manifests/batches/mathlib/001494.json
index b6477b15d3a666bf6b8cb4bdecdbc9cbaf63d89c..0646b9058f91e66f41f2c695acd83b42bee6d5b8 100644
--- a/manifests/batches/mathlib/001494.json
+++ b/manifests/batches/mathlib/001494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001494",
   "batch_fingerprint": "30da420c0a9d837f886329fc29a292673707e2b8cbe6a0a5dd3a4f65a8cad2ef",
   "evidence": {
@@ -2825,22 +2824,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001494-0000-55f7c142163a75b2.parquet",
-      "sha256": "55f7c142163a75b299f072af6b8771eb64acc3a85ff2e1b3c52f118a52a4466a",
-      "bytes": 197273,
-      "rows": 51,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001494-0000-b5344e5ee6ec2f39.parquet",
-      "sha256": "b5344e5ee6ec2f39f6d6d45897ebbb0746cc2d388f3c57de775d239eb1b3f3f2",
-      "bytes": 39411,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModularForm.add_slash",
     "mathlib:ModularForm.is_invariant_const",
@@ -2880,5 +2864,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/SlashActions.lean\",null,null,\"ModularForm.zero_slash\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/SlashActions.lean\",null,null,\"SlashAction.neg_slash\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ModularForms/SlashActions.lean\",null,null,\"SlashAction.smul_slash_of_tower\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197273,
+      "path": "data/train/p34/mathlib-001494-0000-55f7c142163a75b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "55f7c142163a75b299f072af6b8771eb64acc3a85ff2e1b3c52f118a52a4466a"
+    },
+    {
+      "bytes": 39411,
+      "path": "data/internal_test/p34/mathlib-001494-0000-b5344e5ee6ec2f39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b5344e5ee6ec2f39f6d6d45897ebbb0746cc2d388f3c57de775d239eb1b3f3f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001495.json b/manifests/batches/mathlib/001495.json
index 525cf29521478c3c35892c3e17a03653c8d4b2c9..425a1852c2e5ad2544a4b35dc749e9c04b288153 100644
--- a/manifests/batches/mathlib/001495.json
+++ b/manifests/batches/mathlib/001495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001495",
   "batch_fingerprint": "482a8b176b7ff43f79921618be7502df1a556c51f1b4fb5879ad42e974e41e1d",
   "evidence": {
@@ -1500,29 +1499,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001495-0000-1433a306b052b9e1.parquet",
-      "sha256": "1433a306b052b9e1a7a5dffd887d7ecc37282296904de8a47a4e9183a03d80e6",
-      "bytes": 150906,
-      "rows": 33,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001495-0000-9f149ed554283d3c.parquet",
-      "sha256": "9f149ed554283d3ca4ccc216e3415248d6c222ffb8ea137e1c943f7939eadb19",
-      "bytes": 53510,
-      "rows": 7,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001495-0000-efd9b1e47cba4432.parquet",
-      "sha256": "efd9b1e47cba4432614881ed1a43ad214caba49c6906b9770db62e6f7ef0d623",
-      "bytes": 57304,
-      "rows": 6,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MulChar.IsNontrivial.comp",
     "mathlib:MulChar.IsQuadratic.comp",
@@ -1572,5 +1549,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/MulChar/Basic.lean\",null,null,\"MulChar.pow_card_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/MulChar/Basic.lean\",null,null,\"MulChar.sum_eq_zero_of_ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/MulChar/Basic.lean\",null,null,\"MulChar.val_neg_one_eq_one_of_odd_order\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150906,
+      "path": "data/train/pe5/mathlib-001495-0000-1433a306b052b9e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1433a306b052b9e1a7a5dffd887d7ecc37282296904de8a47a4e9183a03d80e6"
+    },
+    {
+      "bytes": 53510,
+      "path": "data/dev/pe5/mathlib-001495-0000-9f149ed554283d3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9f149ed554283d3ca4ccc216e3415248d6c222ffb8ea137e1c943f7939eadb19"
+    },
+    {
+      "bytes": 57304,
+      "path": "data/internal_test/pe5/mathlib-001495-0000-efd9b1e47cba4432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "efd9b1e47cba4432614881ed1a43ad214caba49c6906b9770db62e6f7ef0d623"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001496.json b/manifests/batches/mathlib/001496.json
index 3c5d7c38099b79675578e35bbcfb394de198c864..c4b5433e71f82b5f30123fda6f274792717a0af1 100644
--- a/manifests/batches/mathlib/001496.json
+++ b/manifests/batches/mathlib/001496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001496",
   "batch_fingerprint": "d7956b6743d839343530bbf9a819d2ee9068e863e32fe1e9a9a827d27a601101",
   "evidence": {
@@ -2674,22 +2673,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001496-0000-56c8db50633d02bb.parquet",
-      "sha256": "56c8db50633d02bb1fe8f8f921b0b649bc1335fc25999901b88a0920b5476e38",
-      "bytes": 76994,
-      "rows": 22,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001496-0000-0eca97a5f51af867.parquet",
-      "sha256": "0eca97a5f51af8675b8f9a23f5dc081a60c26e2e9687ada1601b5110087bc6f7",
-      "bytes": 54199,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.not_isField",
     "mathlib:Int.sq_mod_four_eq_one_of_odd",
@@ -2715,5 +2699,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Basic.lean\",null,null,\"NumberField.RingOfIntegers.isIntegral\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Basic.lean\",null,null,\"NumberField.RingOfIntegers.mk_eq_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Basic.lean\",null,null,\"NumberField.RingOfIntegers.not_isField\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76994,
+      "path": "data/train/p8c/mathlib-001496-0000-56c8db50633d02bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "56c8db50633d02bb1fe8f8f921b0b649bc1335fc25999901b88a0920b5476e38"
+    },
+    {
+      "bytes": 54199,
+      "path": "data/internal_test/p8c/mathlib-001496-0000-0eca97a5f51af867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0eca97a5f51af8675b8f9a23f5dc081a60c26e2e9687ada1601b5110087bc6f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001497.json b/manifests/batches/mathlib/001497.json
index e6fc79c86187a0c5b119551ca38bc682a1b381ba..d16d207e9402fae10f6a092c3e3a2cb38652b539 100644
--- a/manifests/batches/mathlib/001497.json
+++ b/manifests/batches/mathlib/001497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001497",
   "batch_fingerprint": "410fc0fe3a11d6ae32b6231590d593cf54df3c42d91a86bfe25349d1baee04c3",
   "evidence": {
@@ -5687,7 +5686,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001498.json b/manifests/batches/mathlib/001498.json
index ea82bbd9997016809e9bcc2b8422474e8e57c923..60fa323c9d2a388c26740f7c8ee4d73cf282b72c 100644
--- a/manifests/batches/mathlib/001498.json
+++ b/manifests/batches/mathlib/001498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001498",
   "batch_fingerprint": "cdf858ff86b28a83168b341e9b6257efd0d86959e35e15eff286a8fb3400701b",
   "evidence": {
@@ -3109,19 +3108,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001498-0000-2c02ec230d1ed977.parquet",
-      "sha256": "2c02ec230d1ed97758f3d5c2f2fd2c37ddf672d6689d4151640062122ef7b520",
-      "bytes": 48920,
-      "rows": 1,
-      "revision": "3c5b41767dd92f26ed9530746794aafc56cb252e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Rat.classNumber_eq"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/ClassNumber.lean\",null,null,\"Rat.classNumber_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48920,
+      "path": "data/train/p0e/mathlib-001498-0000-2c02ec230d1ed977.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2c02ec230d1ed97758f3d5c2f2fd2c37ddf672d6689d4151640062122ef7b520"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001499.json b/manifests/batches/mathlib/001499.json
index 0ee7d3e439f9c746ba78fe4861bf2d9003ba4288..3b77ac852abbbc94c5c81a8644bafcea4a2619e8 100644
--- a/manifests/batches/mathlib/001499.json
+++ b/manifests/batches/mathlib/001499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001499",
   "batch_fingerprint": "b06302804dc29c259288c608a06504da9e499b34c1f13e60a501b3a486d76f61",
   "evidence": {
@@ -3695,29 +3694,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001499-0000-788228cdf99f2e0e.parquet",
-      "sha256": "788228cdf99f2e0e6b369edf153b652a0bb34e139311a8a63970682950af9861",
-      "bytes": 474912,
-      "rows": 94,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001499-0000-d265e351c2aa7bc4.parquet",
-      "sha256": "d265e351c2aa7bc4ff1b0a4707656262ed23a3b5a9eba6a5580b8c6235252b34",
-      "bytes": 46047,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001499-0000-28497b489369a75f.parquet",
-      "sha256": "28497b489369a75fba141600aefd83c3cfafd32f231a166a2e3342bd8adebeaa",
-      "bytes": 88737,
-      "rows": 16,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUnramifiedAtInfinitePlaces.bot",
     "mathlib:NumberField.ComplexEmbedding.IsConj.coe_stabilzer_mk",
@@ -3823,5 +3800,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/FractionalIdeal.lean\",null,null,\"NumberField.fractionalIdeal_rank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/FractionalIdeal.lean\",null,null,\"NumberField.mem_span_basisOfFractionalIdeal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 474912,
+      "path": "data/train/p41/mathlib-001499-0000-788228cdf99f2e0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "788228cdf99f2e0e6b369edf153b652a0bb34e139311a8a63970682950af9861"
+    },
+    {
+      "bytes": 46047,
+      "path": "data/dev/p41/mathlib-001499-0000-d265e351c2aa7bc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d265e351c2aa7bc4ff1b0a4707656262ed23a3b5a9eba6a5580b8c6235252b34"
+    },
+    {
+      "bytes": 88737,
+      "path": "data/internal_test/p41/mathlib-001499-0000-28497b489369a75f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "28497b489369a75fba141600aefd83c3cfafd32f231a166a2e3342bd8adebeaa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001500.json b/manifests/batches/mathlib/001500.json
index b5cc948b5d2f796910175f34a996efc00f22038a..73291f624705ea7c561ea5568c0716ed761aa1ec 100644
--- a/manifests/batches/mathlib/001500.json
+++ b/manifests/batches/mathlib/001500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001500",
   "batch_fingerprint": "6a9bec59b6654ba1f210fb03cf463a7c652b1459f126826024c78eb041096cad",
   "evidence": {
@@ -794,22 +793,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001500-0000-13e7af54be9b976c.parquet",
-      "sha256": "13e7af54be9b976cfc5555a075a5521379649b4c0b1195c3d957f9d0743feb62",
-      "bytes": 56807,
-      "rows": 9,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001500-0000-a6a0361e289779b5.parquet",
-      "sha256": "a6a0361e289779b573b7abf42ae27cd0feec1d319d86bacd720ef9e61d1cae02",
-      "bytes": 56301,
-      "rows": 1,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NumberField.Units.coe_pow",
     "mathlib:NumberField.Units.coe_zpow",
@@ -827,5 +811,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/Basic.lean\",null,null,\"NumberField.Units.norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/Basic.lean\",null,null,\"NumberField.isUnit_iff_norm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/Basic.lean\",null,null,\"Rat.RingOfIntegers.isUnit_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56807,
+      "path": "data/train/p0d/mathlib-001500-0000-13e7af54be9b976c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "13e7af54be9b976cfc5555a075a5521379649b4c0b1195c3d957f9d0743feb62"
+    },
+    {
+      "bytes": 56301,
+      "path": "data/internal_test/p0d/mathlib-001500-0000-a6a0361e289779b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a6a0361e289779b573b7abf42ae27cd0feec1d319d86bacd720ef9e61d1cae02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001501.json b/manifests/batches/mathlib/001501.json
index a60d4c1195a7c7db009fb95dda783055b1df049c..ab171320e676613ce82a3844641489af6b144144 100644
--- a/manifests/batches/mathlib/001501.json
+++ b/manifests/batches/mathlib/001501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001501",
   "batch_fingerprint": "ee3d970746daa7ecd7d03685e3196f2b209e5d98bcdc90ac49647969e73170e7",
   "evidence": {
@@ -1946,15 +1945,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001501-0000-ca454768f9bce0be.parquet",
-      "sha256": "ca454768f9bce0bed3e0b236e5f691334fd30fdbfe311c0dfb74cd4ff2b2c02f",
-      "bytes": 183344,
-      "rows": 13,
-      "revision": "3c5b41767dd92f26ed9530746794aafc56cb252e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NumberField.Units.dirichletUnitTheorem.logEmbedding_component_le",
     "mathlib:NumberField.Units.regulator_eq_det'",
@@ -1970,5 +1961,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean\",null,null,\"logEmbeddingQuot_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean\",null,null,\"rank_modTorsion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/NumberField/Units/Regulator.lean\",null,null,\"NumberField.Units.regulator_eq_det'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183344,
+      "path": "data/train/p1c/mathlib-001501-0000-ca454768f9bce0be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ca454768f9bce0bed3e0b236e5f691334fd30fdbfe311c0dfb74cd4ff2b2c02f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001502.json b/manifests/batches/mathlib/001502.json
index 2cc920aa4454aac61e73c914f65affca12a041e7..1d84707788b9f0a10c4a685c12d7b2685d50b036 100644
--- a/manifests/batches/mathlib/001502.json
+++ b/manifests/batches/mathlib/001502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001502",
   "batch_fingerprint": "467a44c031efd6216ff7dc9b7e99da9e1f696e64cb1507d859acec848e972cf3",
   "evidence": {
@@ -2314,22 +2313,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001502-0000-f754c4e8e87e0567.parquet",
-      "sha256": "f754c4e8e87e0567e7f0f65a30625909c5de75f8feb0e1293c343a2a85a5c5a4",
-      "bytes": 96600,
-      "rows": 20,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001502-0000-4f26489c386a5474.parquet",
-      "sha256": "4f26489c386a54741c6c42bb9794aa323090f8eb8887dfbc967982bdfb8875d8",
-      "bytes": 60740,
-      "rows": 7,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Rat.MulRingNorm.eq_on_nat_iff_eq",
     "mathlib:Rat.MulRingNorm.eq_on_nat_iff_eq_on_Int",
@@ -2363,5 +2347,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/Hensel.lean\",null,null,\"newton_seq_succ_dist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/Hensel.lean\",null,null,\"soln_dist_to_a_lt_deriv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/Hensel.lean\",null,null,\"tendsto_zero_of_norm_tendsto_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96600,
+      "path": "data/train/pf8/mathlib-001502-0000-f754c4e8e87e0567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f754c4e8e87e0567e7f0f65a30625909c5de75f8feb0e1293c343a2a85a5c5a4"
+    },
+    {
+      "bytes": 60740,
+      "path": "data/internal_test/pf8/mathlib-001502-0000-4f26489c386a5474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4f26489c386a54741c6c42bb9794aa323090f8eb8887dfbc967982bdfb8875d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001503.json b/manifests/batches/mathlib/001503.json
index f39bb34e756345a3b411fcaeb621c82e60f99ac5..238909438ab8fe1d4e11bfb558790b416b8124eb 100644
--- a/manifests/batches/mathlib/001503.json
+++ b/manifests/batches/mathlib/001503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001503",
   "batch_fingerprint": "ccb138806e290fb4e48013aa9bccf15f9e27d90c552872b0432e5d6b49ad3fa1",
   "evidence": {
@@ -2937,29 +2936,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001503-0000-d4903b7a1b153f0f.parquet",
-      "sha256": "d4903b7a1b153f0fe5b9524c2459f46218eee0a0d16114400244bc6f0f45d280",
-      "bytes": 126556,
-      "rows": 49,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001503-0000-83b24ea50bd43eba.parquet",
-      "sha256": "83b24ea50bd43eba19b6252ccd89fa9b4ff298a5baf84da776eb50592d95eaa1",
-      "bytes": 37473,
-      "rows": 3,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001503-0000-0ff9fe1f6443ee89.parquet",
-      "sha256": "0ff9fe1f6443ee89afa1993af034c0177041e03c09c1f8c3e53e73240a33b08b",
-      "bytes": 40106,
-      "rows": 5,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PadicInt.coe_eq_zero",
     "mathlib:PadicInt.inv_mul",
@@ -3027,5 +3004,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicNorm.lean\",null,null,\"padicNorm.values_discrete\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicNorm.lean\",null,null,\"padicNorm.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicNorm.lean\",null,null,\"padicNorm.zero_of_padicNorm_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126556,
+      "path": "data/train/pf0/mathlib-001503-0000-d4903b7a1b153f0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "d4903b7a1b153f0fe5b9524c2459f46218eee0a0d16114400244bc6f0f45d280"
+    },
+    {
+      "bytes": 37473,
+      "path": "data/dev/pf0/mathlib-001503-0000-83b24ea50bd43eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "83b24ea50bd43eba19b6252ccd89fa9b4ff298a5baf84da776eb50592d95eaa1"
+    },
+    {
+      "bytes": 40106,
+      "path": "data/internal_test/pf0/mathlib-001503-0000-0ff9fe1f6443ee89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0ff9fe1f6443ee89afa1993af034c0177041e03c09c1f8c3e53e73240a33b08b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001504.json b/manifests/batches/mathlib/001504.json
index f82f0762b27fa7fe60530f17ce24a409a7c4541c..7f0580a7e9e67f6bff67adf3754b7a7ca3cee455 100644
--- a/manifests/batches/mathlib/001504.json
+++ b/manifests/batches/mathlib/001504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001504",
   "batch_fingerprint": "8adfce90de91fd3fef06fb4899f110a28cafb31581d0c57435e1d0709234155e",
   "evidence": {
@@ -6204,29 +6203,7 @@
     "validation_rejected_proofs": 24,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001504-0000-1e2f04b55269dc4d.parquet",
-      "sha256": "1e2f04b55269dc4dcc96a872006cd08b2baa4dc6bc3e84193fcba04734637af4",
-      "bytes": 329835,
-      "rows": 122,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001504-0000-d8784070747ddcfe.parquet",
-      "sha256": "d8784070747ddcfeadadd3dc979203e169b10d11b27f348635f162d88248306a",
-      "bytes": 54780,
-      "rows": 6,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001504-0000-8591cb93c2427b65.parquet",
-      "sha256": "8591cb93c2427b65312ea1074d32342193fd2db5b588bc1dfd2cc6a5c18edf13",
-      "bytes": 48507,
-      "rows": 12,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.max_log_padicValNat_succ_eq_log_succ",
     "mathlib:Padic.AddValuation.map_one",
@@ -6378,5 +6355,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicVal.lean\",null,null,\"pow_succ_padicValNat_not_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicVal.lean\",null,null,\"sub_one_mul_padicValNat_factorial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Padics/PadicVal.lean\",null,null,\"zero_le_padicValRat_of_nat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329835,
+      "path": "data/train/p8a/mathlib-001504-0000-1e2f04b55269dc4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 122,
+      "sha256": "1e2f04b55269dc4dcc96a872006cd08b2baa4dc6bc3e84193fcba04734637af4"
+    },
+    {
+      "bytes": 54780,
+      "path": "data/dev/p8a/mathlib-001504-0000-d8784070747ddcfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d8784070747ddcfeadadd3dc979203e169b10d11b27f348635f162d88248306a"
+    },
+    {
+      "bytes": 48507,
+      "path": "data/internal_test/p8a/mathlib-001504-0000-8591cb93c2427b65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8591cb93c2427b65312ea1074d32342193fd2db5b588bc1dfd2cc6a5c18edf13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001505.json b/manifests/batches/mathlib/001505.json
index 45328fd6b2f6fb4fdb9d9fc07ce57c3cfb0c9c75..d29bf04ad9ef0c6d2bf2827146e648f721314d94 100644
--- a/manifests/batches/mathlib/001505.json
+++ b/manifests/batches/mathlib/001505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001505",
   "batch_fingerprint": "285b283e609fccc6fa59a97a85a57c78efeac81271e9904b4e342f3442b874bb",
   "evidence": {
@@ -5294,29 +5293,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001505-0000-97bbb451c7ff37ad.parquet",
-      "sha256": "97bbb451c7ff37ad03e8b92bbb4523d769eb4ec19e8d55447f530451f48096a2",
-      "bytes": 352814,
-      "rows": 123,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/dev/mathlib-001505-0000-f1badc4bfd952e26.parquet",
-      "sha256": "f1badc4bfd952e2669503225b16db82137805950e420e9d89824d8d79174c0fd",
-      "bytes": 79170,
-      "rows": 17,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    },
-    {
-      "path": "data/internal_test/mathlib-001505-0000-e2c2c2e35461e1e8.parquet",
-      "sha256": "e2c2c2e35461e1e832d640c559e641ab8c73e4866cd08b26c8b98a977b4bdcf4",
-      "bytes": 60313,
-      "rows": 10,
-      "revision": "8bf00a040cb81c9d392797e564a71043d1775ded"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PadicInt.cast_toZModPow",
     "mathlib:PadicInt.denseRange_natCast",
@@ -5392,5 +5369,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Pell.lean\",null,null,\"Pell.exists_iff_not_isSquare\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Pell.lean\",null,null,\"Pell.is_pell_solution_iff_mem_unitary\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Pell.lean\",null,null,\"Pell.pos_generator_iff_fundamental\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352814,
+      "path": "data/train/pc8/mathlib-001505-0000-97bbb451c7ff37ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 123,
+      "sha256": "97bbb451c7ff37ad03e8b92bbb4523d769eb4ec19e8d55447f530451f48096a2"
+    },
+    {
+      "bytes": 79170,
+      "path": "data/dev/pc8/mathlib-001505-0000-f1badc4bfd952e26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f1badc4bfd952e2669503225b16db82137805950e420e9d89824d8d79174c0fd"
+    },
+    {
+      "bytes": 60313,
+      "path": "data/internal_test/pc8/mathlib-001505-0000-e2c2c2e35461e1e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e2c2c2e35461e1e832d640c559e641ab8c73e4866cd08b26c8b98a977b4bdcf4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001506.json b/manifests/batches/mathlib/001506.json
index 0fc3d330eee5209d4336aaea704f4a481533b510..cf9a62aedd5b7df98e097b4d5584e6afa2765ab9 100644
--- a/manifests/batches/mathlib/001506.json
+++ b/manifests/batches/mathlib/001506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001506",
   "batch_fingerprint": "73f928553f3fb84632931a44934f05375cb2a8280cb5d8041a81babdf497979f",
   "evidence": {
@@ -4266,22 +4265,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001506-0000-00dd7bb57a419b44.parquet",
-      "sha256": "00dd7bb57a419b44231c1a1877874ed91004b429bbecbf74cd80712ebcfea2e4",
-      "bytes": 135634,
-      "rows": 60,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001506-0000-2658959649efb5b8.parquet",
-      "sha256": "2658959649efb5b8b7d7ec7912bb26c60a3e007f516f0b1d720a171d5c344374",
-      "bytes": 47980,
-      "rows": 5,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.primesBelow_card_eq_primeCounting'",
     "mathlib:Pell.asq_pos",
@@ -4345,5 +4329,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PellMatiyasevic.lean\",null,null,\"Pell.yz_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PellMatiyasevic.lean\",null,null,\"Pell.yz_succ_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PrimeCounting.lean\",null,null,\"Nat.primesBelow_card_eq_primeCounting'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135634,
+      "path": "data/train/p8a/mathlib-001506-0000-00dd7bb57a419b44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "00dd7bb57a419b44231c1a1877874ed91004b429bbecbf74cd80712ebcfea2e4"
+    },
+    {
+      "bytes": 47980,
+      "path": "data/internal_test/p8a/mathlib-001506-0000-2658959649efb5b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2658959649efb5b8b7d7ec7912bb26c60a3e007f516f0b1d720a171d5c344374"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001507.json b/manifests/batches/mathlib/001507.json
index 3aa285ecde45f5a9e3ee44aecb7755b5e4da5b19..8b86331c480903d4422a51891f95016cac548603 100644
--- a/manifests/batches/mathlib/001507.json
+++ b/manifests/batches/mathlib/001507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001507",
   "batch_fingerprint": "253d11cdc02139adec75538b43c514bde5c09c17ed80d54b0759e53697f09d42",
   "evidence": {
@@ -463,15 +462,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001507-0000-70c205e2e24ae9e4.parquet",
-      "sha256": "70c205e2e24ae9e419e51a34254e4eb0260db15d797b8ddfad9baf3fa66b19e8",
-      "bytes": 64275,
-      "rows": 10,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.frequently_atTop_modEq_one",
     "mathlib:primorial_add",
@@ -483,5 +474,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Primorial.lean\",null,null,\"primorial_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Primorial.lean\",null,null,\"primorial_add_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Primorial.lean\",null,null,\"primorial_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64275,
+      "path": "data/train/p44/mathlib-001507-0000-70c205e2e24ae9e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "70c205e2e24ae9e419e51a34254e4eb0260db15d797b8ddfad9baf3fa66b19e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001508.json b/manifests/batches/mathlib/001508.json
index 74abf6863efc8655c2f24c908fcb4a0dff793fcf..59a25a1afb0dfb4dcf0b7de6c011a1d1673ebf0b 100644
--- a/manifests/batches/mathlib/001508.json
+++ b/manifests/batches/mathlib/001508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001508",
   "batch_fingerprint": "ebca6df9d50e5896eb506d7a6f4c361ea1496e873fe24fbe285bd3455341efff",
   "evidence": {
@@ -6826,15 +6825,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001508-0000-ec923651d5b58ef2.parquet",
-      "sha256": "ec923651d5b58ef2c0f3ca309d67d90717eb8a6709956e0a3e1fc0ba3fbcc37e",
-      "bytes": 77444,
-      "rows": 24,
-      "revision": "ece868597706124994836c6b17c47af8c63ac7ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PythagoreanTriple.coprime_of_coprime",
     "mathlib:PythagoreanTriple.isClassified_of_isPrimitiveClassified",
@@ -6852,5 +6843,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PythagoreanTriples.lean\",null,null,\"PythagoreanTriple.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PythagoreanTriples.lean\",null,null,\"pythagoreanTriple_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/PythagoreanTriples.lean\",null,null,\"sq_ne_two_fin_zmod_four\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77444,
+      "path": "data/train/p51/mathlib-001508-0000-ec923651d5b58ef2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ec923651d5b58ef2c0f3ca309d67d90717eb8a6709956e0a3e1fc0ba3fbcc37e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001509.json b/manifests/batches/mathlib/001509.json
index 113748222f071782080f880c988d38592178832d..69b313e40b9f8d16ee0a74cc1517e670ac17493f 100644
--- a/manifests/batches/mathlib/001509.json
+++ b/manifests/batches/mathlib/001509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001509",
   "batch_fingerprint": "af826b341f8a2c657297a8f9e23deb6135a98cb37ebcdabad788a2ef6305de19",
   "evidence": {
@@ -1284,22 +1283,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001509-0000-8c885fe3aa2a1d23.parquet",
-      "sha256": "8c885fe3aa2a1d23630ab38aec5df7a19cca35efdee647c12c6fba6a96726358",
-      "bytes": 142592,
-      "rows": 44,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001509-0000-b0e3d321ec7fb999.parquet",
-      "sha256": "b0e3d321ec7fb999f751271943890db5cffba27891d18c2e9ce7c09b6b0c41f1",
-      "bytes": 37597,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Beatty.no_anticollision",
     "mathlib:Beatty.no_collision",
@@ -1321,5 +1305,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SiegelsLemma.lean\",null,null,\"Int.Matrix.card_S_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SiegelsLemma.lean\",null,null,\"Int.Matrix.card_T_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SiegelsLemma.lean\",null,null,\"Int.Matrix.one_le_norm_A_of_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142592,
+      "path": "data/train/p6d/mathlib-001509-0000-8c885fe3aa2a1d23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "8c885fe3aa2a1d23630ab38aec5df7a19cca35efdee647c12c6fba6a96726358"
+    },
+    {
+      "bytes": 37597,
+      "path": "data/dev/p6d/mathlib-001509-0000-b0e3d321ec7fb999.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b0e3d321ec7fb999f751271943890db5cffba27891d18c2e9ce7c09b6b0c41f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001510.json b/manifests/batches/mathlib/001510.json
index 0040cbe455215e972c2eb705d173e2a42f0f110c..2f1413f231f287d8dbbd6b67dd7a60f4329c682c 100644
--- a/manifests/batches/mathlib/001510.json
+++ b/manifests/batches/mathlib/001510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001510",
   "batch_fingerprint": "2859b8c9151fd15f099c7cb4f8cf03e9788a68e5037353bfca30d27c374907f3",
   "evidence": {
@@ -2399,29 +2398,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001510-0000-56caee8820627aa6.parquet",
-      "sha256": "56caee8820627aa69735c6fe193800b1931544ca95a006bfd38c0ddfbe4926a8",
-      "bytes": 159852,
-      "rows": 49,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001510-0000-9c971fc202311a61.parquet",
-      "sha256": "9c971fc202311a616825516d5affab80f1750d4d76c74c8179069b285c635c27",
-      "bytes": 44291,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001510-0000-07aac8c2a2f92f5a.parquet",
-      "sha256": "07aac8c2a2f92f5a215fc3d858a2580a33f7cfbd12862d4abe9d6e022a389986",
-      "bytes": 43554,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.factoredNumbers_coprime",
     "mathlib:Nat.Prime.smoothNumbers_coprime",
@@ -2481,5 +2458,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SmoothNumbers.lean\",null,null,\"Nat.smoothNumbers_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SumFourSquares.lean\",null,null,\"Nat.euler_four_squares\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SumFourSquares.lean\",null,null,\"euler_four_squares\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159852,
+      "path": "data/train/p3d/mathlib-001510-0000-56caee8820627aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "56caee8820627aa69735c6fe193800b1931544ca95a006bfd38c0ddfbe4926a8"
+    },
+    {
+      "bytes": 44291,
+      "path": "data/dev/p3d/mathlib-001510-0000-9c971fc202311a61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9c971fc202311a616825516d5affab80f1750d4d76c74c8179069b285c635c27"
+    },
+    {
+      "bytes": 43554,
+      "path": "data/internal_test/p3d/mathlib-001510-0000-07aac8c2a2f92f5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "07aac8c2a2f92f5a215fc3d858a2580a33f7cfbd12862d4abe9d6e022a389986"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001511.json b/manifests/batches/mathlib/001511.json
index f80c9e5ca282fc2c63ca6e7a03c3cb4ae72e95c0..f15b763f77d6cf77335d08d1ef9e3324f79dbc14 100644
--- a/manifests/batches/mathlib/001511.json
+++ b/manifests/batches/mathlib/001511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001511",
   "batch_fingerprint": "a6dc73c4112f4e755988113adc4783117bff415cefb851af25e432eb9f1d8e6c",
   "evidence": {
@@ -1510,29 +1509,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001511-0000-185cf9c88f20bb2d.parquet",
-      "sha256": "185cf9c88f20bb2dcf5a7dcda79632a1805f9edbad5a16a399d6b79db5f6ec99",
-      "bytes": 43637,
-      "rows": 2,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001511-0000-a551fd1ba229823f.parquet",
-      "sha256": "a551fd1ba229823fd6966f6eb4ecb4f0f6938a330b3696e342c255d13609499b",
-      "bytes": 42522,
-      "rows": 6,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001511-0000-d5616708aa02cdbc.parquet",
-      "sha256": "d5616708aa02cdbc874c3eb8c47bfb6b5e0a2726652e5eafef80a0b74b60cbd2",
-      "bytes": 54962,
-      "rows": 8,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Prime.sq_add_sq",
     "mathlib:Nat.Primes.not_summable_one_div",
@@ -1550,5 +1527,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SumTwoSquares.lean\",null,null,\"ZMod.isSquare_neg_one_of_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SumTwoSquares.lean\",null,null,\"ZMod.isSquare_neg_one_of_eq_sq_add_sq_of_coprime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/SumTwoSquares.lean\",null,null,\"sq_add_sq_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43637,
+      "path": "data/train/p95/mathlib-001511-0000-185cf9c88f20bb2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "185cf9c88f20bb2dcf5a7dcda79632a1805f9edbad5a16a399d6b79db5f6ec99"
+    },
+    {
+      "bytes": 42522,
+      "path": "data/dev/p95/mathlib-001511-0000-a551fd1ba229823f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a551fd1ba229823fd6966f6eb4ecb4f0f6938a330b3696e342c255d13609499b"
+    },
+    {
+      "bytes": 54962,
+      "path": "data/internal_test/p95/mathlib-001511-0000-d5616708aa02cdbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d5616708aa02cdbc874c3eb8c47bfb6b5e0a2726652e5eafef80a0b74b60cbd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001512.json b/manifests/batches/mathlib/001512.json
index da6f145010bf76046d7f1f686711a29c5d6b70a5..b2f180e3a3bee84f9c5a76a8642b90f11e385df7 100644
--- a/manifests/batches/mathlib/001512.json
+++ b/manifests/batches/mathlib/001512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001512",
   "batch_fingerprint": "57a659f781b5ab78707eb1b29e704fdffb3d6d4d8de74c68c8184a57e5786c6b",
   "evidence": {
@@ -2065,22 +2064,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001512-0000-b3ecd8f7d580d168.parquet",
-      "sha256": "b3ecd8f7d580d168ffde954ae17d6c79adde55d5c40d68ad4e019b0c49a8132c",
-      "bytes": 41576,
-      "rows": 11,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001512-0000-f53b24eca33cf87d.parquet",
-      "sha256": "f53b24eca33cf87d078248c0d26946e54cd2224533eb35ab7cea0152cfb416cb",
-      "bytes": 47920,
-      "rows": 6,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ArithmeticFunction.log_mul_moebius_eq_vonMangoldt",
     "mathlib:ArithmeticFunction.moebius_mul_log_eq_vonMangoldt",
@@ -2100,5 +2084,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/VonMangoldt.lean\",null,null,\"ArithmeticFunction.zeta_mul_vonMangoldt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/WellApproximable.lean\",null,null,\"approxOrderOf.smul_subset_of_coprime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/WellApproximable.lean\",null,null,\"mem_approxOrderOf_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41576,
+      "path": "data/train/p68/mathlib-001512-0000-b3ecd8f7d580d168.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b3ecd8f7d580d168ffde954ae17d6c79adde55d5c40d68ad4e019b0c49a8132c"
+    },
+    {
+      "bytes": 47920,
+      "path": "data/internal_test/p68/mathlib-001512-0000-f53b24eca33cf87d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f53b24eca33cf87d078248c0d26946e54cd2224533eb35ab7cea0152cfb416cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001513.json b/manifests/batches/mathlib/001513.json
index ee1dbd387671b4abc68b6f86dc1f4d4aca7663df..15394af6fcb900088578eb9fbd89721707f89091 100644
--- a/manifests/batches/mathlib/001513.json
+++ b/manifests/batches/mathlib/001513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001513",
   "batch_fingerprint": "33188653d4fcb35af7f5dedb256c3cb74ad7303b12585a3a7feb9fe5d0bb72dd",
   "evidence": {
@@ -2189,15 +2188,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001513-0000-43d5fc247be24e3c.parquet",
-      "sha256": "43d5fc247be24e3c39c4f680f2e63b818d67d0d9f5f90e961c83563ef27533ed",
-      "bytes": 59163,
-      "rows": 13,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.prime_iff_fac_equiv_neg_one",
     "mathlib:ZMod.prod_Ico_one_prime",
@@ -2217,5 +2208,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ZetaValues.lean\",null,null,\"bernoulliFun_eval_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ZetaValues.lean\",null,null,\"bernoulli_zero_fourier_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/ZetaValues.lean\",null,null,\"hasDerivAt_bernoulliFun\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59163,
+      "path": "data/train/pcc/mathlib-001513-0000-43d5fc247be24e3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "43d5fc247be24e3c39c4f680f2e63b818d67d0d9f5f90e961c83563ef27533ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001514.json b/manifests/batches/mathlib/001514.json
index 9603a9dbde4d757a91f99d94f3d7cb0e6a07dee6..d6821a8251e2f49902733352fb71f4c5b17c74cb 100644
--- a/manifests/batches/mathlib/001514.json
+++ b/manifests/batches/mathlib/001514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001514",
   "batch_fingerprint": "2c038a65e8fbfa8199d961c2212c53eaa6b2f9aa56d3cb429204b8cdb3d03350",
   "evidence": {
@@ -4738,29 +4737,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001514-0000-61a963269335c11a.parquet",
-      "sha256": "61a963269335c11aecd9d5576fa04020335956ab8d5628c549fabef7d48a53cc",
-      "bytes": 60974,
-      "rows": 25,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001514-0000-0cb8b5b926beafe9.parquet",
-      "sha256": "0cb8b5b926beafe938f2b7eb4eadc2f08d486d95fd8e70c14640d0c83cd0317d",
-      "bytes": 35793,
-      "rows": 2,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001514-0000-9b772dffec1772b4.parquet",
-      "sha256": "9b772dffec1772b493fa36ad72e1f46321c3586d47a5ca6a3413eaa284fc292e",
-      "bytes": 39804,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GaussianInt.div_def",
     "mathlib:GaussianInt.intCast_complex_norm",
@@ -4802,5 +4779,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Zsqrtd/GaussianInt.lean\",null,null,\"GaussianInt.toComplex_star\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Zsqrtd/GaussianInt.lean\",null,null,\"GaussianInt.to_real_im\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/NumberTheory/Zsqrtd/GaussianInt.lean\",null,null,\"GaussianInt.to_real_re\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60974,
+      "path": "data/train/p3b/mathlib-001514-0000-61a963269335c11a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "61a963269335c11aecd9d5576fa04020335956ab8d5628c549fabef7d48a53cc"
+    },
+    {
+      "bytes": 35793,
+      "path": "data/dev/p3b/mathlib-001514-0000-0cb8b5b926beafe9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0cb8b5b926beafe938f2b7eb4eadc2f08d486d95fd8e70c14640d0c83cd0317d"
+    },
+    {
+      "bytes": 39804,
+      "path": "data/internal_test/p3b/mathlib-001514-0000-9b772dffec1772b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9b772dffec1772b493fa36ad72e1f46321c3586d47a5ca6a3413eaa284fc292e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001515.json b/manifests/batches/mathlib/001515.json
index 884540e41c6376304619a931ed8885ba1a310ccc..ad04991488324924799abe96b4e13c0792f36fb9 100644
--- a/manifests/batches/mathlib/001515.json
+++ b/manifests/batches/mathlib/001515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001515",
   "batch_fingerprint": "e952d42ce556eefe116a3699900374c9a46b1449b993391381ab4ff6dea77c68",
   "evidence": {
@@ -508,7 +507,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001516.json b/manifests/batches/mathlib/001516.json
index 8fd5f38c0468a8cc05c637079c1f1a04cfc39ad1..bbd271e1c284cca5a49cb53258c4f0d03f12cde2 100644
--- a/manifests/batches/mathlib/001516.json
+++ b/manifests/batches/mathlib/001516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001516",
   "batch_fingerprint": "57ef86b8d3e98a3a43604b80c84749d827875a9e4973e2ffb6969a8c41af4af9",
   "evidence": {
@@ -1898,15 +1897,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001516-0000-70b30e25dbc9e9fe.parquet",
-      "sha256": "70b30e25dbc9e9feffb6565b0afa4a04f3a923ffe871abaed6339c64373fa543",
-      "bytes": 57009,
-      "rows": 11,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsAntichain.image",
     "mathlib:IsStrongAntichain.image",
@@ -1920,5 +1911,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Antichain.lean\",null,null,\"isAntichain_and_greatest_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Antichain.lean\",null,null,\"isAntichain_and_least_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Antisymmetrization.lean\",null,null,\"antisymmetrization_fibration\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57009,
+      "path": "data/train/p9f/mathlib-001516-0000-70b30e25dbc9e9fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "70b30e25dbc9e9feffb6565b0afa4a04f3a923ffe871abaed6339c64373fa543"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001517.json b/manifests/batches/mathlib/001517.json
index bbb97da59e1948590e3f1252a3dddfc4c42466b2..9f296e1abaf7a145ad21ab1a6b525c7d21870847 100644
--- a/manifests/batches/mathlib/001517.json
+++ b/manifests/batches/mathlib/001517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001517",
   "batch_fingerprint": "125bf58a4ed39c3de83aca2d54cada4f12bb14a12585fe9feca89abf2e411988",
   "evidence": {
@@ -2368,29 +2367,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001517-0000-4de382a363bd59a2.parquet",
-      "sha256": "4de382a363bd59a29eddfa2f994fa35647bf0e6d9f67e1940163bb1c3f18cfa5",
-      "bytes": 150457,
-      "rows": 38,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001517-0000-3337665f7056e43a.parquet",
-      "sha256": "3337665f7056e43a0fbcaf04d15f4c273cbe58b034fe35707e29945688eb7b60",
-      "bytes": 33979,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001517-0000-fa2d1d6e8b588166.parquet",
-      "sha256": "fa2d1d6e8b588166574e677c4162bf054b6904fc87a5fac38b454998d712d3b9",
-      "bytes": 41270,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fintype.IsSimpleOrder.univ",
     "mathlib:GaloisInsertion.isAtom_iff",
@@ -2436,5 +2413,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Atoms.lean\",null,null,\"le_iff_atom_le_imp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Atoms.lean\",null,null,\"sSup_atoms_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Atoms/Finite.lean\",null,null,\"Fintype.IsSimpleOrder.univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150457,
+      "path": "data/train/p4a/mathlib-001517-0000-4de382a363bd59a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "4de382a363bd59a29eddfa2f994fa35647bf0e6d9f67e1940163bb1c3f18cfa5"
+    },
+    {
+      "bytes": 33979,
+      "path": "data/dev/p4a/mathlib-001517-0000-3337665f7056e43a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3337665f7056e43a0fbcaf04d15f4c273cbe58b034fe35707e29945688eb7b60"
+    },
+    {
+      "bytes": 41270,
+      "path": "data/internal_test/p4a/mathlib-001517-0000-fa2d1d6e8b588166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa2d1d6e8b588166574e677c4162bf054b6904fc87a5fac38b454998d712d3b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001518.json b/manifests/batches/mathlib/001518.json
index a5b21fa0c0cb41b95903eaf67d397523c043966b..f0f9b6034025bf69256668a9ac91bf4e94a43d35 100644
--- a/manifests/batches/mathlib/001518.json
+++ b/manifests/batches/mathlib/001518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001518",
   "batch_fingerprint": "aaa05a19c5eaf55d9bd4471beb917f3da5e1b120e82021c5a9f8ca50bc81fcfe",
   "evidence": {
@@ -4427,29 +4426,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001518-0000-e3fe09ed0c29bdd6.parquet",
-      "sha256": "e3fe09ed0c29bdd6684edfa051523548d15ccc4f9509ffaa5eb8a505f99c2f5b",
-      "bytes": 186639,
-      "rows": 62,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001518-0000-fc1ab88cfbe58c9b.parquet",
-      "sha256": "fc1ab88cfbe58c9b9bf010831670ae862347bd60a390175a58a331f9d13771e8",
-      "bytes": 34739,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001518-0000-2765c78b2c237a53.parquet",
-      "sha256": "2765c78b2c237a53544c28f4dca7dbbfe344e6f81265b126e10476833bd18597",
-      "bytes": 42278,
-      "rows": 4,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.const_le_const",
     "mathlib:Function.const_lt_const",
@@ -4533,5 +4510,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Birkhoff.lean\",null,null,\"OrderEmbedding.infIrredUpperSet_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Birkhoff.lean\",null,null,\"OrderEmbedding.supIrredLowerSet_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Birkhoff.lean\",null,null,\"UpperSet.infIrred_Ici\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186639,
+      "path": "data/train/pc9/mathlib-001518-0000-e3fe09ed0c29bdd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "e3fe09ed0c29bdd6684edfa051523548d15ccc4f9509ffaa5eb8a505f99c2f5b"
+    },
+    {
+      "bytes": 34739,
+      "path": "data/dev/pc9/mathlib-001518-0000-fc1ab88cfbe58c9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fc1ab88cfbe58c9b9bf010831670ae862347bd60a390175a58a331f9d13771e8"
+    },
+    {
+      "bytes": 42278,
+      "path": "data/internal_test/pc9/mathlib-001518-0000-2765c78b2c237a53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2765c78b2c237a53544c28f4dca7dbbfe344e6f81265b126e10476833bd18597"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001519.json b/manifests/batches/mathlib/001519.json
index 2574cf80f2e9086377918db8c8fad7ca5560ee8c..2e25340a6a8a37f0dd51f73a66ce898e899bb72e 100644
--- a/manifests/batches/mathlib/001519.json
+++ b/manifests/batches/mathlib/001519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001519",
   "batch_fingerprint": "544c4a0925ee77100602e44d9532dd1fff42daadc464875fe3a997489c7b71b5",
   "evidence": {
@@ -2759,29 +2758,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001519-0000-3477028695504cd6.parquet",
-      "sha256": "3477028695504cd6552b9bd694342dcac0f51a50cda6809d559de0617ef8e4ed",
-      "bytes": 140027,
-      "rows": 60,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001519-0000-9cf69fb9c77eec19.parquet",
-      "sha256": "9cf69fb9c77eec19b4872f04cd9784a7db3f6200d41dfbac21b186c009decd9d",
-      "bytes": 52617,
-      "rows": 4,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001519-0000-a32de365224d6110.parquet",
-      "sha256": "a32de365224d6110ebbad7aa4d9bebfdace1ac86c524f81d05f0de3d664edd80",
-      "bytes": 33217,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCompactlyGenerated.BooleanGenerators.isAtomistic_of_sSup_eq_top",
     "mathlib:IsCompactlyGenerated.BooleanGenerators.sSup_le_sSup_iff_of_atoms",
@@ -2865,5 +2842,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/BooleanAlgebra.lean\",null,null,\"sup_sdiff_inf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/BooleanGenerators.lean\",null,null,\"IsCompactlyGenerated.BooleanGenerators.isAtomistic_of_sSup_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/BooleanGenerators.lean\",null,null,\"IsCompactlyGenerated.BooleanGenerators.sSup_le_sSup_iff_of_atoms\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140027,
+      "path": "data/train/p71/mathlib-001519-0000-3477028695504cd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "3477028695504cd6552b9bd694342dcac0f51a50cda6809d559de0617ef8e4ed"
+    },
+    {
+      "bytes": 52617,
+      "path": "data/dev/p71/mathlib-001519-0000-9cf69fb9c77eec19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9cf69fb9c77eec19b4872f04cd9784a7db3f6200d41dfbac21b186c009decd9d"
+    },
+    {
+      "bytes": 33217,
+      "path": "data/internal_test/p71/mathlib-001519-0000-a32de365224d6110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a32de365224d6110ebbad7aa4d9bebfdace1ac86c524f81d05f0de3d664edd80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001520.json b/manifests/batches/mathlib/001520.json
index 8ef148d33902bede3130dff1e237da82483d2793..f771447ff28daa92f65f939f742707a0c67c866e 100644
--- a/manifests/batches/mathlib/001520.json
+++ b/manifests/batches/mathlib/001520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001520",
   "batch_fingerprint": "25758e148f07db35480a19ae15b89ccfbee74fbb178562fe3ac29f172798b969",
   "evidence": {
@@ -1734,29 +1733,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001520-0000-7751f50c0a949796.parquet",
-      "sha256": "7751f50c0a949796133d97aaa45a9067efa648fc4f7465562eb28050f48f5db7",
-      "bytes": 114821,
-      "rows": 37,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001520-0000-0cf3b258ed3d974a.parquet",
-      "sha256": "0cf3b258ed3d974a5167478456941b1e34a4f63aa65fa0e7ca3caf0b9990f8e5",
-      "bytes": 44110,
-      "rows": 2,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001520-0000-4cfdf466047da93b.parquet",
-      "sha256": "4cfdf466047da93b73e9fd411f650c759b060615ff77b6c2c5f35d74341e287f",
-      "bytes": 44231,
-      "rows": 4,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Booleanisation.comp_le_comp",
     "mathlib:Booleanisation.comp_lt_comp",
@@ -1804,5 +1781,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounded.lean\",null,null,\"Set.unbounded_lt_inter_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounded.lean\",null,null,\"Set.unbounded_lt_inter_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounded.lean\",null,null,\"Set.unbounded_lt_inter_not_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114821,
+      "path": "data/train/peb/mathlib-001520-0000-7751f50c0a949796.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "7751f50c0a949796133d97aaa45a9067efa648fc4f7465562eb28050f48f5db7"
+    },
+    {
+      "bytes": 44110,
+      "path": "data/dev/peb/mathlib-001520-0000-0cf3b258ed3d974a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0cf3b258ed3d974a5167478456941b1e34a4f63aa65fa0e7ca3caf0b9990f8e5"
+    },
+    {
+      "bytes": 44231,
+      "path": "data/internal_test/peb/mathlib-001520-0000-4cfdf466047da93b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4cfdf466047da93b73e9fd411f650c759b060615ff77b6c2c5f35d74341e287f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001521.json b/manifests/batches/mathlib/001521.json
index eed787c4c02a14473e776672994deef581596da9..e69691bb620f30b6abd0c77656c7783eaa579ea7 100644
--- a/manifests/batches/mathlib/001521.json
+++ b/manifests/batches/mathlib/001521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001521",
   "batch_fingerprint": "ef4c2a5110fbc9d96ca850bd7d21b9219563aaba31223c0adf663571a5f6bb6c",
   "evidence": {
@@ -7934,29 +7933,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001521-0000-273ba82a626d2aea.parquet",
-      "sha256": "273ba82a626d2aea66ef10ef07a189bea98349e3dbc3e1b59fe6359f718b5ffe",
-      "bytes": 224602,
-      "rows": 75,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001521-0000-da7dcfe3a6b76e55.parquet",
-      "sha256": "da7dcfe3a6b76e555043387a8251d04e59b43241b3330a2cf91d8d1a49235a4f",
-      "bytes": 62162,
-      "rows": 11,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001521-0000-874eee969fd37d04.parquet",
-      "sha256": "874eee969fd37d043f986e54542f0514af38c64de89234f4af7c0bd1ce6a489d",
-      "bytes": 50686,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BddAbove.bddAbove_image2_of_bddBelow",
     "mathlib:BddAbove.bddBelow_image2_of_bddAbove",
@@ -8066,5 +8043,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/Basic.lean\",null,null,\"not_bddAbove_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/Basic.lean\",null,null,\"upperBounds_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/Basic.lean\",null,null,\"upperBounds_insert\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224602,
+      "path": "data/train/p71/mathlib-001521-0000-273ba82a626d2aea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "273ba82a626d2aea66ef10ef07a189bea98349e3dbc3e1b59fe6359f718b5ffe"
+    },
+    {
+      "bytes": 62162,
+      "path": "data/dev/p71/mathlib-001521-0000-da7dcfe3a6b76e55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "da7dcfe3a6b76e555043387a8251d04e59b43241b3330a2cf91d8d1a49235a4f"
+    },
+    {
+      "bytes": 50686,
+      "path": "data/internal_test/p71/mathlib-001521-0000-874eee969fd37d04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "874eee969fd37d043f986e54542f0514af38c64de89234f4af7c0bd1ce6a489d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001522.json b/manifests/batches/mathlib/001522.json
index 86660eb92f0bb2edbc3b3e45fa4b053e53c37cbc..ae6abffee103dfc63f3992f312f22cd18662395a 100644
--- a/manifests/batches/mathlib/001522.json
+++ b/manifests/batches/mathlib/001522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001522",
   "batch_fingerprint": "e4decfde26e480a9f3f6a4106763a2fb5de60522b3e98b3395d204a9fa408e89",
   "evidence": {
@@ -279,15 +278,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001522-0000-463332a3c0154d73.parquet",
-      "sha256": "463332a3c0154d73eb55742a1c4f3d2dfa2c0bd1b4c27c3a7646b90faf1ce365",
-      "bytes": 38496,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderIso.isLUB_image'",
     "mathlib:OrderIso.isLUB_preimage",
@@ -297,5 +288,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/OrderIso.lean\",null,null,\"OrderIso.isLUB_image'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/OrderIso.lean\",null,null,\"OrderIso.isLUB_preimage\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Bounds/OrderIso.lean\",null,null,\"OrderIso.isLUB_preimage'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38496,
+      "path": "data/train/pfe/mathlib-001522-0000-463332a3c0154d73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "463332a3c0154d73eb55742a1c4f3d2dfa2c0bd1b4c27c3a7646b90faf1ce365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001523.json b/manifests/batches/mathlib/001523.json
index 02d06a067e152b0e03eb91e3267a16bb584dd2d2..b4fa82c618688b932fcca457d03c0dd770a0fe2c 100644
--- a/manifests/batches/mathlib/001523.json
+++ b/manifests/batches/mathlib/001523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001523",
   "batch_fingerprint": "920a19c6f47422058c0c102425f2f4f07d99161f9811f1cbc58b741040f1eb95",
   "evidence": {
@@ -349,7 +348,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001524.json b/manifests/batches/mathlib/001524.json
index 206678b09d01776a0cc694070be425fb74adc84b..ba9eb14d9990c20dec405c974aa25ca2e443902f 100644
--- a/manifests/batches/mathlib/001524.json
+++ b/manifests/batches/mathlib/001524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001524",
   "batch_fingerprint": "37093c84a9ad038e93a7692d7241060dea044f8b4fc5f200a0822a298ef7addd",
   "evidence": {
@@ -129,7 +128,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001525.json b/manifests/batches/mathlib/001525.json
index 906512650432f978d6f81d8cfe23c91cd88a6a14..0f42bb97e917237799ebae5a359e5c3d07c78681 100644
--- a/manifests/batches/mathlib/001525.json
+++ b/manifests/batches/mathlib/001525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001525",
   "batch_fingerprint": "e3bde3228f1f32162f28e1f21f85472e70c6b8ec94d781519992631b7920f6ad",
   "evidence": {
@@ -85,7 +84,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001526.json b/manifests/batches/mathlib/001526.json
index 364f1e5aadafcfb92062e7bb68a55d297c9fa129..8b92afc6871e5d3c14ba1160da2056ccf1cb83d2 100644
--- a/manifests/batches/mathlib/001526.json
+++ b/manifests/batches/mathlib/001526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001526",
   "batch_fingerprint": "84e287a86253e51dee913b5643438d8434a6ce19369d87c9f70823e73316a2d4",
   "evidence": {
@@ -107,7 +106,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001527.json b/manifests/batches/mathlib/001527.json
index f2f6fa48ad7d2d8803f768ac4c0ae11fbabac756..efc056963a52d804fee4166a4b0030441f2c67ad 100644
--- a/manifests/batches/mathlib/001527.json
+++ b/manifests/batches/mathlib/001527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001527",
   "batch_fingerprint": "e5a6a041094ee9f6f59ff968878c2f0bad3ea62eb5c926ae0afad155f6cc7fc8",
   "evidence": {
@@ -63,7 +62,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001528.json b/manifests/batches/mathlib/001528.json
index bc4c103c7b0b1193865a41ce72149d47b8ef2fcb..2eb35c6ac10657e5aa1fc1d7c6826800d16b4949 100644
--- a/manifests/batches/mathlib/001528.json
+++ b/manifests/batches/mathlib/001528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001528",
   "batch_fingerprint": "83068c04869c5c567981fb4d6d8245b44d35c7ef2c2edf4e256ada86158c0730",
   "evidence": {
@@ -107,7 +106,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001529.json b/manifests/batches/mathlib/001529.json
index d8ab48947ab61b9ee91e5738ebec53af20184585..ae5e2bc665d9c0b67849755f88169b191b591d07 100644
--- a/manifests/batches/mathlib/001529.json
+++ b/manifests/batches/mathlib/001529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001529",
   "batch_fingerprint": "254bd245e2a3b876e9b8f8afc19889c795e13253114b16fb50b2f4bfb08a4bde",
   "evidence": {
@@ -445,7 +444,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001530.json b/manifests/batches/mathlib/001530.json
index 2e281e1fe611e701ab1c6ca3f354b82ac4bea745..35402425ab3bd8ff46c9b6ee18839df775a6136d 100644
--- a/manifests/batches/mathlib/001530.json
+++ b/manifests/batches/mathlib/001530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001530",
   "batch_fingerprint": "aa66c9d8646f4bff68d592658106322954eefdb8ed14340f6e9245a3b7958d5e",
   "evidence": {
@@ -85,7 +84,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001531.json b/manifests/batches/mathlib/001531.json
index 0b08376afd81586e2d4b6d92d7cbcb0250b02b40..dde42612122c49ca25440e195e3151a8b6ac675a 100644
--- a/manifests/batches/mathlib/001531.json
+++ b/manifests/batches/mathlib/001531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001531",
   "batch_fingerprint": "ac0ff6b05f8bc17cc638a5aa0ff7b69893d45d7ea3b3f8aed9460af816fd11bd",
   "evidence": {
@@ -1112,22 +1111,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001531-0000-705026028bf4b028.parquet",
-      "sha256": "705026028bf4b028e3b2f5f81f6b5065c45d78ff9dd102dbb550188ed369cd15",
-      "bytes": 75752,
-      "rows": 16,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001531-0000-5baf86a7fefbb345.parquet",
-      "sha256": "5baf86a7fefbb345e055accd1095ce946866f921f495412107b688a9d3fb48a0",
-      "bytes": 64886,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsChain.directed",
     "mathlib:IsChain.exists3",
@@ -1147,5 +1131,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Chain.lean\",null,null,\"isChain_univ_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Chain.lean\",null,null,\"subset_succChain\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Chain.lean\",null,null,\"succChain_spec\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75752,
+      "path": "data/train/p92/mathlib-001531-0000-705026028bf4b028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "705026028bf4b028e3b2f5f81f6b5065c45d78ff9dd102dbb550188ed369cd15"
+    },
+    {
+      "bytes": 64886,
+      "path": "data/internal_test/p92/mathlib-001531-0000-5baf86a7fefbb345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5baf86a7fefbb345e055accd1095ce946866f921f495412107b688a9d3fb48a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001532.json b/manifests/batches/mathlib/001532.json
index 5c013e77623dfad6a0e41e648a14696e63559455..a6efe59d98460f07f06b62c10a922adbb8939d93 100644
--- a/manifests/batches/mathlib/001532.json
+++ b/manifests/batches/mathlib/001532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001532",
   "batch_fingerprint": "23ef13cc7e9af3304584d12bb60341ff7a8cf8040473ced6fcfa2665d846eeb8",
   "evidence": {
@@ -1749,22 +1748,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001532-0000-b10c71f68aa08795.parquet",
-      "sha256": "b10c71f68aa0879575543e31a1c4b4992b88c7e5484edcf8e225b7410029bf18",
-      "bytes": 65275,
-      "rows": 15,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001532-0000-0ffed2d716491e81.parquet",
-      "sha256": "0ffed2d716491e8196ba1f56ac4528e816e340a316807fb91275d2a183f343d5",
-      "bytes": 39332,
-      "rows": 2,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosureOperator.IsClosed.closure_le_iff",
     "mathlib:ClosureOperator.closure_sup_closure",
@@ -1790,5 +1774,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Closure.lean\",null,null,\"LowerAdjoint.ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Closure.lean\",null,null,\"LowerAdjoint.mem_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Closure.lean\",null,null,\"closureOperator_gi_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65275,
+      "path": "data/train/p64/mathlib-001532-0000-b10c71f68aa08795.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b10c71f68aa0879575543e31a1c4b4992b88c7e5484edcf8e225b7410029bf18"
+    },
+    {
+      "bytes": 39332,
+      "path": "data/dev/p64/mathlib-001532-0000-0ffed2d716491e81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ffed2d716491e8196ba1f56ac4528e816e340a316807fb91275d2a183f343d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001533.json b/manifests/batches/mathlib/001533.json
index 451b8423e47b2eed190a338a54598217dd4a7ccf..84ed86a39fea9470d9b61d39085d2fb15a72c0b2 100644
--- a/manifests/batches/mathlib/001533.json
+++ b/manifests/batches/mathlib/001533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001533",
   "batch_fingerprint": "0624ab4f8a08ea17753dc0f53a016a2f7f04ef91d1a6536c3c842ee5c9fa4766",
   "evidence": {
@@ -2773,22 +2772,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001533-0000-13db17f5a75d7d9d.parquet",
-      "sha256": "13db17f5a75d7d9ddac427968e8989791736a9e13591902a499178875e0ef518",
-      "bytes": 83052,
-      "rows": 25,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001533-0000-5bbdc425967d8548.parquet",
-      "sha256": "5bbdc425967d8548e32feb9635ad23a9dba064725cf4adc026b6b1c083a65e53",
-      "bytes": 49173,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompleteLattice.IsCompactElement.directed_sSup_lt_of_lt",
     "mathlib:CompleteLattice.WellFounded.finite_ne_bot_of_independent",
@@ -2818,5 +2802,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompactlyGenerated/Basic.lean\",null,null,\"inf_sSup_eq_iSup_inf_sup_finset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompactlyGenerated/Basic.lean\",null,null,\"sSup_compact_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompactlyGenerated/Basic.lean\",null,null,\"sSup_compact_le_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83052,
+      "path": "data/train/p68/mathlib-001533-0000-13db17f5a75d7d9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "13db17f5a75d7d9ddac427968e8989791736a9e13591902a499178875e0ef518"
+    },
+    {
+      "bytes": 49173,
+      "path": "data/dev/p68/mathlib-001533-0000-5bbdc425967d8548.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bbdc425967d8548e32feb9635ad23a9dba064725cf4adc026b6b1c083a65e53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001534.json b/manifests/batches/mathlib/001534.json
index d16878c597d39e815e6942b63cfc16e3bf862d04..61f28fd11b3ce7d94e575dd02546cddb52f20d36 100644
--- a/manifests/batches/mathlib/001534.json
+++ b/manifests/batches/mathlib/001534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001534",
   "batch_fingerprint": "1f182205b844a5379ab8eeb93ff24400471adcf7729ab7b5a2008dc53e3aaa0d",
   "evidence": {
@@ -1484,29 +1483,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001534-0000-892e16e523f0ca69.parquet",
-      "sha256": "892e16e523f0ca69cd33828bb8360d70c5bfe8975054f871a11cf7fcea99e4ae",
-      "bytes": 125432,
-      "rows": 35,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001534-0000-f0ba226665fae4d4.parquet",
-      "sha256": "f0ba226665fae4d4b79a851831d8e4ea11a30f5f622bd6693ae90b6f950fb867",
-      "bytes": 42560,
-      "rows": 1,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001534-0000-37c609c7bcf9fdb2.parquet",
-      "sha256": "37c609c7bcf9fdb21aa81a35f24e6458f07b0a3fe723eddbda2424d165c01530",
-      "bytes": 47132,
-      "rows": 5,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordering.orElse_eq_lt",
     "mathlib:Ordering.swap_eq_iff_eq_swap",
@@ -1570,5 +1547,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteBooleanAlgebra.lean\",null,null,\"sSup_disjoint_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteBooleanAlgebra.lean\",null,null,\"sSup_inf_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteBooleanAlgebra.lean\",null,null,\"sSup_inf_sSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125432,
+      "path": "data/train/p61/mathlib-001534-0000-892e16e523f0ca69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "892e16e523f0ca69cd33828bb8360d70c5bfe8975054f871a11cf7fcea99e4ae"
+    },
+    {
+      "bytes": 42560,
+      "path": "data/dev/p61/mathlib-001534-0000-f0ba226665fae4d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f0ba226665fae4d4b79a851831d8e4ea11a30f5f622bd6693ae90b6f950fb867"
+    },
+    {
+      "bytes": 47132,
+      "path": "data/internal_test/p61/mathlib-001534-0000-37c609c7bcf9fdb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "37c609c7bcf9fdb21aa81a35f24e6458f07b0a3fe723eddbda2424d165c01530"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001535.json b/manifests/batches/mathlib/001535.json
index 250ed466cb8a3c6ddab7b87200d1cf8952fe3039..febbfda4de10bac73c46de78b4ef1d331860f4a7 100644
--- a/manifests/batches/mathlib/001535.json
+++ b/manifests/batches/mathlib/001535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001535",
   "batch_fingerprint": "526bde3a2657b19bd39cee5e3e893f2f1bda620dc5e0a75ad99dbd21c83d9842",
   "evidence": {
@@ -6020,29 +6019,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001535-0000-302a0291c4119a19.parquet",
-      "sha256": "302a0291c4119a1961ecd126a58592eaf884d17d3fa04877e70f27567f4bcb95",
-      "bytes": 331595,
-      "rows": 107,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001535-0000-e0f6b971b831ecd9.parquet",
-      "sha256": "e0f6b971b831ecd9a9dd7f32d97451b1ee84ae00f2e53879664b57123e72b82e",
-      "bytes": 49254,
-      "rows": 6,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001535-0000-c848e0014fd94e59.parquet",
-      "sha256": "c848e0014fd94e591c25bc8c25a164aea530cd580b96a5fb446356c5017bdb10",
-      "bytes": 60841,
-      "rows": 6,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antitone.map_sSup_le",
     "mathlib:Equiv.biSup_comp",
@@ -6214,5 +6191,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteLatticeIntervals.lean\",null,null,\"subset_sSup_emptyset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteLatticeIntervals.lean\",null,null,\"subset_sSup_of_not_bddAbove\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteLatticeIntervals.lean\",null,null,\"subset_sSup_of_within\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331595,
+      "path": "data/train/p51/mathlib-001535-0000-302a0291c4119a19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 107,
+      "sha256": "302a0291c4119a1961ecd126a58592eaf884d17d3fa04877e70f27567f4bcb95"
+    },
+    {
+      "bytes": 49254,
+      "path": "data/dev/p51/mathlib-001535-0000-e0f6b971b831ecd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e0f6b971b831ecd9a9dd7f32d97451b1ee84ae00f2e53879664b57123e72b82e"
+    },
+    {
+      "bytes": 60841,
+      "path": "data/internal_test/p51/mathlib-001535-0000-c848e0014fd94e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c848e0014fd94e591c25bc8c25a164aea530cd580b96a5fb446356c5017bdb10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001536.json b/manifests/batches/mathlib/001536.json
index 2a372e05b3c3b6b156b3b743014d906eff8b11d0..f1baf252b1fe34453b10f0efd652f56dafc86bf3 100644
--- a/manifests/batches/mathlib/001536.json
+++ b/manifests/batches/mathlib/001536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001536",
   "batch_fingerprint": "6f22107389561e197c05da7e707b81571d934d8be654437a51c5f60ffc47c5c0",
   "evidence": {
@@ -421,15 +420,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001536-0000-3ccd3179ba2e04a6.parquet",
-      "sha256": "3ccd3179ba2e04a633b928b37120dff73fbfaca138a025c11ad73bfebed7e9fc",
-      "bytes": 62897,
-      "rows": 8,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompletePartialOrder.scottContinuous",
     "mathlib:CompleteSublattice.codisjoint_iff",
@@ -445,5 +436,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteSublattice.lean\",null,null,\"CompleteSublattice.coe_sSup'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteSublattice.lean\",null,null,\"CompleteSublattice.disjoint_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/CompleteSublattice.lean\",null,null,\"CompleteSublattice.isCompl_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62897,
+      "path": "data/train/p23/mathlib-001536-0000-3ccd3179ba2e04a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3ccd3179ba2e04a633b928b37120dff73fbfaca138a025c11ad73bfebed7e9fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001537.json b/manifests/batches/mathlib/001537.json
index 0cd8caacd682c2613f8f3fd9149261ed240abed2..3ddda92b2d1b189238c20626a8f69151cd1c002a 100644
--- a/manifests/batches/mathlib/001537.json
+++ b/manifests/batches/mathlib/001537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001537",
   "batch_fingerprint": "df468e91ed3b71628dc08220d27f49da4843ca1eee9477e2d52148ecdabf02e8",
   "evidence": {
@@ -6074,29 +6073,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001537-0000-e57ca76cf7d6f1c8.parquet",
-      "sha256": "e57ca76cf7d6f1c8c8f0ecf543b744681394113b75fa7774f436d4d2a881e8a4",
-      "bytes": 169842,
-      "rows": 46,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/dev/mathlib-001537-0000-4bd8b9f2b1b0cd50.parquet",
-      "sha256": "4bd8b9f2b1b0cd50af070ef012cd3a65e5e4cb58ea4e39b4fec0c703765bedf6",
-      "bytes": 42512,
-      "rows": 3,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    },
-    {
-      "path": "data/internal_test/mathlib-001537-0000-19b734a7632aaf49.parquet",
-      "sha256": "19b734a7632aaf4982f785061882b4ac6fe54ec87526ca4cb4abf926849eb86f",
-      "bytes": 53638,
-      "rows": 8,
-      "revision": "504ada6ade9a708ef0393868f005bf429a0291c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Concept.ext'",
     "mathlib:Concept.snd_ssubset_snd_iff",
@@ -6168,5 +6145,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Basic.lean\",null,null,\"isLUB_ciSup_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Basic.lean\",null,null,\"isLeast_csInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Basic.lean\",null,null,\"le_ciSup_iff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169842,
+      "path": "data/train/pb1/mathlib-001537-0000-e57ca76cf7d6f1c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "e57ca76cf7d6f1c8c8f0ecf543b744681394113b75fa7774f436d4d2a881e8a4"
+    },
+    {
+      "bytes": 42512,
+      "path": "data/dev/pb1/mathlib-001537-0000-4bd8b9f2b1b0cd50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4bd8b9f2b1b0cd50af070ef012cd3a65e5e4cb58ea4e39b4fec0c703765bedf6"
+    },
+    {
+      "bytes": 53638,
+      "path": "data/internal_test/pb1/mathlib-001537-0000-19b734a7632aaf49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "19b734a7632aaf4982f785061882b4ac6fe54ec87526ca4cb4abf926849eb86f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001538.json b/manifests/batches/mathlib/001538.json
index eee2d1e9dfcaa0d56d79a5b668e724ae25614a3a..88ea34f80fa2f9835d5d206d99e696120d9693e6 100644
--- a/manifests/batches/mathlib/001538.json
+++ b/manifests/batches/mathlib/001538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001538",
   "batch_fingerprint": "5fbec2a9695fe0e79e770a5eb31932d48c44ea9dbaeedb0cd57fda6e1e25fe73",
   "evidence": {
@@ -326,29 +325,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001538-0000-4d65458a78e99a09.parquet",
-      "sha256": "4d65458a78e99a099497b274503562b07b67ca002d8b15496fef44811ce4cc85",
-      "bytes": 45066,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001538-0000-b3cdae3c6f7c8e8d.parquet",
-      "sha256": "b3cdae3c6f7c8e8df5743fc807958e81ede656a7386a5479df1a7906d4525825",
-      "bytes": 36579,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001538-0000-3bfc2a67be02216a.parquet",
-      "sha256": "3bfc2a67be02216a07a4eb84405691244973bd8166a81bf690a60e8e2527b27b",
-      "bytes": 41216,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Nonempty.csSup_mem",
     "mathlib:Finset.inf'_univ_eq_ciInf",
@@ -364,5 +341,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Finset.lean\",null,null,\"Finset.sup'_id_eq_csSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Finset.lean\",null,null,\"Finset.sup'_univ_eq_ciSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ConditionallyCompleteLattice/Finset.lean\",null,null,\"Set.Nonempty.csSup_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45066,
+      "path": "data/train/pac/mathlib-001538-0000-4d65458a78e99a09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d65458a78e99a099497b274503562b07b67ca002d8b15496fef44811ce4cc85"
+    },
+    {
+      "bytes": 36579,
+      "path": "data/dev/pac/mathlib-001538-0000-b3cdae3c6f7c8e8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b3cdae3c6f7c8e8df5743fc807958e81ede656a7386a5479df1a7906d4525825"
+    },
+    {
+      "bytes": 41216,
+      "path": "data/internal_test/pac/mathlib-001538-0000-3bfc2a67be02216a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3bfc2a67be02216a07a4eb84405691244973bd8166a81bf690a60e8e2527b27b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001539.json b/manifests/batches/mathlib/001539.json
index b2c7020ee2f8c42c928eae6c1d2ab6b01bc5e6f7..093c848c288e3c80c9c7fb213648d9cf8886f9d2 100644
--- a/manifests/batches/mathlib/001539.json
+++ b/manifests/batches/mathlib/001539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001539",
   "batch_fingerprint": "75c82494f1d970d2cb862d90a73fd44749f34ddbe1154d358a514ac9f582e656",
   "evidence": {
@@ -2383,29 +2382,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001539-0000-b157a66d97c4bd1c.parquet",
-      "sha256": "b157a66d97c4bd1caa4212f4c0de8ad3757d5ce76d814d281acb925cf72d70bc",
-      "bytes": 191559,
-      "rows": 43,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001539-0000-d164f45625194afa.parquet",
-      "sha256": "d164f45625194afa00d2b08fdda9f73c01ebfe37fb523d0aa1a048021952870f",
-      "bytes": 46708,
-      "rows": 6,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001539-0000-596f1c045ef5dd94.parquet",
-      "sha256": "596f1c045ef5dd943ee7bc6ddb10cbf628f972daf69fcd2c9071a89fd655ca69",
-      "bytes": 41749,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CovBy.Ioc_eq",
     "mathlib:CovBy.Ioi_eq",
@@ -2457,5 +2434,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Cover.lean\",null,null,\"wcovBy_eq_reflGen_covBy\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Cover.lean\",null,null,\"wcovBy_iff_Ioo_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Cover.lean\",null,null,\"wcovBy_iff_covBy_or_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191559,
+      "path": "data/train/pab/mathlib-001539-0000-b157a66d97c4bd1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "b157a66d97c4bd1caa4212f4c0de8ad3757d5ce76d814d281acb925cf72d70bc"
+    },
+    {
+      "bytes": 46708,
+      "path": "data/dev/pab/mathlib-001539-0000-d164f45625194afa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d164f45625194afa00d2b08fdda9f73c01ebfe37fb523d0aa1a048021952870f"
+    },
+    {
+      "bytes": 41749,
+      "path": "data/internal_test/pab/mathlib-001539-0000-596f1c045ef5dd94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "596f1c045ef5dd943ee7bc6ddb10cbf628f972daf69fcd2c9071a89fd655ca69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001540.json b/manifests/batches/mathlib/001540.json
index a628c65e74ad43527e09f5618bbd35669e07525d..480ba39c2936d4b9da395d932217b79eb9fc6931 100644
--- a/manifests/batches/mathlib/001540.json
+++ b/manifests/batches/mathlib/001540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001540",
   "batch_fingerprint": "5730acf9d33219f4b2a3c28d4ada607ba25545c6f156adbc1d24378ac82bc17b",
   "evidence": {
@@ -3499,29 +3498,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001540-0000-7842556142fcec40.parquet",
-      "sha256": "7842556142fcec40508c3d6348bc15208fe0b9e20ac908485b7983b2a7b0f0c1",
-      "bytes": 77763,
-      "rows": 29,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001540-0000-12d7159b9252b77a.parquet",
-      "sha256": "12d7159b9252b77ae6000fc9a53b1f7fd6f094f2a71557306e363e4ee116e83c",
-      "bytes": 34819,
-      "rows": 2,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001540-0000-442a2f813df216ad.parquet",
-      "sha256": "442a2f813df216ad10e6c0d054a261cc486ff3c7d743f540ba60817aca31fc4c",
-      "bytes": 47584,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Codisjoint.eq_iff",
     "mathlib:Codisjoint.left_le_of_le_inf_left",
@@ -3579,5 +3556,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjoint.lean\",null,null,\"disjoint_sup_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjoint.lean\",null,null,\"disjoint_sup_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjoint.lean\",null,null,\"eq_top_of_isCompl_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77763,
+      "path": "data/train/p25/mathlib-001540-0000-7842556142fcec40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7842556142fcec40508c3d6348bc15208fe0b9e20ac908485b7983b2a7b0f0c1"
+    },
+    {
+      "bytes": 34819,
+      "path": "data/dev/p25/mathlib-001540-0000-12d7159b9252b77a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "12d7159b9252b77ae6000fc9a53b1f7fd6f094f2a71557306e363e4ee116e83c"
+    },
+    {
+      "bytes": 47584,
+      "path": "data/internal_test/p25/mathlib-001540-0000-442a2f813df216ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "442a2f813df216ad10e6c0d054a261cc486ff3c7d743f540ba60817aca31fc4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001541.json b/manifests/batches/mathlib/001541.json
index 45fec20c16eb86ccac206f28c0e3c83b99082de8..86978f75865bf9d98ea3c165fbb1fd6c62d7cd14 100644
--- a/manifests/batches/mathlib/001541.json
+++ b/manifests/batches/mathlib/001541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001541",
   "batch_fingerprint": "cb138151aa005f867315fcc8f9dc0df862357e3512d46c3449f3d600eedb1650",
   "evidence": {
@@ -675,22 +674,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001541-0000-378d643c1c357b0a.parquet",
-      "sha256": "378d643c1c357b0ac56dccc62f3b8fcff42caf8abcc7f2b4823c234c9ca531a5",
-      "bytes": 48215,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001541-0000-c524d3839f81e167.parquet",
-      "sha256": "c524d3839f81e1675d9b492da10d6d937b7ee54620d7b820eea706a8eee16154",
-      "bytes": 34212,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Monotone.disjointed_succ",
     "mathlib:Monotone.disjointed_succ_sup",
@@ -700,5 +684,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjointed.lean\",null,null,\"Monotone.disjointed_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjointed.lean\",null,null,\"Monotone.disjointed_succ_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Disjointed.lean\",null,null,\"preimage_find_eq_disjointed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48215,
+      "path": "data/train/pbf/mathlib-001541-0000-378d643c1c357b0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "378d643c1c357b0ac56dccc62f3b8fcff42caf8abcc7f2b4823c234c9ca531a5"
+    },
+    {
+      "bytes": 34212,
+      "path": "data/internal_test/pbf/mathlib-001541-0000-c524d3839f81e167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c524d3839f81e1675d9b492da10d6d937b7ee54620d7b820eea706a8eee16154"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001542.json b/manifests/batches/mathlib/001542.json
index cb67e034c4680a7afa6fe9217e549ebc473f44fb..35d678b1ba19cd252fec3146d2e25b04ca2ae7a5 100644
--- a/manifests/batches/mathlib/001542.json
+++ b/manifests/batches/mathlib/001542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001542",
   "batch_fingerprint": "81230628aab46505b85c721d57dd3cc9ecaa610c54785a8fef4914a32f701938",
   "evidence": {
@@ -428,7 +427,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001543.json b/manifests/batches/mathlib/001543.json
index 49d722621cec45b725ac1556e9706928a1efbc12..1d7ac03aee7410266f83ae89d3d10403d2dc3dc4 100644
--- a/manifests/batches/mathlib/001543.json
+++ b/manifests/batches/mathlib/001543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001543",
   "batch_fingerprint": "b64cb56e26e45d3b874a85f2efc227a607cd8f39aef4abfe142bf9cc03108ef6",
   "evidence": {
@@ -6393,29 +6392,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001543-0000-9273e70015f7efc9.parquet",
-      "sha256": "9273e70015f7efc9ebe50bdcae712c04bc2012db969a6e908466b2fd5631777f",
-      "bytes": 453312,
-      "rows": 147,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001543-0000-91d29a16aece4028.parquet",
-      "sha256": "91d29a16aece402898fe3935220a50fa668c95fe226bb381f0f834b9d54e1ef0",
-      "bytes": 66322,
-      "rows": 12,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001543-0000-14a181dcc10ece83.parquet",
-      "sha256": "14a181dcc10ece837950cd40d85a7b6b55c64512a7220cede5c98b21142e5b99",
-      "bytes": 97527,
-      "rows": 23,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Eventually.intCast_atBot",
     "mathlib:Filter.Eventually.intCast_atTop",
@@ -6639,5 +6616,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/AtTopBot.lean\",null,null,\"OrderIso.comap_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/AtTopBot.lean\",null,null,\"OrderIso.map_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/AtTopBot.lean\",null,null,\"OrderIso.tendsto_atTop_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 453312,
+      "path": "data/train/p05/mathlib-001543-0000-9273e70015f7efc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 147,
+      "sha256": "9273e70015f7efc9ebe50bdcae712c04bc2012db969a6e908466b2fd5631777f"
+    },
+    {
+      "bytes": 66322,
+      "path": "data/dev/p05/mathlib-001543-0000-91d29a16aece4028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "91d29a16aece402898fe3935220a50fa668c95fe226bb381f0f834b9d54e1ef0"
+    },
+    {
+      "bytes": 97527,
+      "path": "data/internal_test/p05/mathlib-001543-0000-14a181dcc10ece83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "14a181dcc10ece837950cd40d85a7b6b55c64512a7220cede5c98b21142e5b99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001544.json b/manifests/batches/mathlib/001544.json
index 87b8bdd6a09e181d1373184ea5377e65f140b838..3aaeb3fdb1b2001f2da157eeee73980bef18d5a0 100644
--- a/manifests/batches/mathlib/001544.json
+++ b/manifests/batches/mathlib/001544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001544",
   "batch_fingerprint": "5a9ee3f736551a282a4a0262a2e50eb2d803ffc5ca20fa23c5e9b4245471f621",
   "evidence": {
@@ -11824,29 +11823,7 @@
     "validation_rejected_proofs": 25,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001544-0000-72fba44f6d5f9ad0.parquet",
-      "sha256": "72fba44f6d5f9ad05dd0e040ebcec56522a4b828789862dc28fb4d27fb40ef75",
-      "bytes": 833481,
-      "rows": 257,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001544-0000-be45ea00ddb9a9ef.parquet",
-      "sha256": "be45ea00ddb9a9efd3689b3803f3ff863a9e526bfc157f26662eb1028a6d9949",
-      "bytes": 88644,
-      "rows": 24,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001544-0000-d02dac80fb69cbb2.parquet",
-      "sha256": "d02dac80fb69cbb27455798135b87556b856fa06ef84f4ccee639e98a345eb50",
-      "bytes": 99446,
-      "rows": 29,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Eventually.and_frequently",
     "mathlib:Filter.Eventually.choice",
@@ -12286,5 +12263,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Basic.lean\",null,null,\"Set.Finite.eventuallyLE_iInter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Basic.lean\",null,null,\"Set.Finite.eventuallyLE_iUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Basic.lean\",null,null,\"Set.PairwiseDisjoint.exists_mem_filter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 833481,
+      "path": "data/train/pb0/mathlib-001544-0000-72fba44f6d5f9ad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 257,
+      "sha256": "72fba44f6d5f9ad05dd0e040ebcec56522a4b828789862dc28fb4d27fb40ef75"
+    },
+    {
+      "bytes": 88644,
+      "path": "data/dev/pb0/mathlib-001544-0000-be45ea00ddb9a9ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "be45ea00ddb9a9efd3689b3803f3ff863a9e526bfc157f26662eb1028a6d9949"
+    },
+    {
+      "bytes": 99446,
+      "path": "data/internal_test/pb0/mathlib-001544-0000-d02dac80fb69cbb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d02dac80fb69cbb27455798135b87556b856fa06ef84f4ccee639e98a345eb50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001545.json b/manifests/batches/mathlib/001545.json
index 73b3cf9e278c363b9b32593b431427b3071a4ce7..dccca6d295139d73bdfc0e1e9c6148d4bbbd788a 100644
--- a/manifests/batches/mathlib/001545.json
+++ b/manifests/batches/mathlib/001545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001545",
   "batch_fingerprint": "44949b9ed974da40e5b366ea37177dca385901dc27921ca56aaf93ca34f4e82e",
   "evidence": {
@@ -819,22 +818,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001545-0000-0a92cfaae8831a9b.parquet",
-      "sha256": "0a92cfaae8831a9bfc03489c2b3f613ddeb45a8a6e7792f8df5b8f179c9bf7da",
-      "bytes": 75000,
-      "rows": 20,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001545-0000-1bd506185e4aa577.parquet",
-      "sha256": "1bd506185e4aa57749128416dec368b39fd878a3754cd9de3a53320aeb491e0f",
-      "bytes": 52328,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyLE.cardinal_bInter",
     "mathlib:Filter.EventuallyLE.cardinal_bUnion",
@@ -864,5 +848,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Cocardinal.lean\",null,null,\"Filter.eventually_cocardinal_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Cocardinal.lean\",null,null,\"Filter.frequently_cocardinal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Cocardinal.lean\",null,null,\"Filter.mem_cocountable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75000,
+      "path": "data/train/pf7/mathlib-001545-0000-0a92cfaae8831a9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0a92cfaae8831a9bfc03489c2b3f613ddeb45a8a6e7792f8df5b8f179c9bf7da"
+    },
+    {
+      "bytes": 52328,
+      "path": "data/internal_test/pf7/mathlib-001545-0000-1bd506185e4aa577.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1bd506185e4aa57749128416dec368b39fd878a3754cd9de3a53320aeb491e0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001546.json b/manifests/batches/mathlib/001546.json
index 676b79b88ee5c9cb40b575b4303550c2372ed140..923d71d3da69bb7a1e74f37072e50cbafb1ce454 100644
--- a/manifests/batches/mathlib/001546.json
+++ b/manifests/batches/mathlib/001546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001546",
   "batch_fingerprint": "390558fd848dd35fce1f7e5b44b3d774a043161cd4a406b5b1a6808c40fdc4f5",
   "evidence": {
@@ -1111,29 +1110,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001546-0000-8d3f38cccb7a96f8.parquet",
-      "sha256": "8d3f38cccb7a96f87d13346c2ec9d1d8fa074d9e7a3f41c59a403c7cec00e6bf",
-      "bytes": 83799,
-      "rows": 24,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001546-0000-179b6783907369fe.parquet",
-      "sha256": "179b6783907369fe5943190e79c43499ab6ed16880245050a621059fa6dba262",
-      "bytes": 52135,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001546-0000-5eab65d72e3040f9.parquet",
-      "sha256": "5eab65d72e3040f939f2a7d0d7db4e58309e49b78ab38242a81f63d5f8295983",
-      "bytes": 49580,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EventuallyLE.countable_bInter",
     "mathlib:EventuallyLE.countable_bUnion",
@@ -1173,5 +1150,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/CountableInter.lean\",null,null,\"countable_bInter_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/CountableInter.lean\",null,null,\"eventually_countable_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/CountableInter.lean\",null,null,\"eventually_countable_forall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83799,
+      "path": "data/train/p27/mathlib-001546-0000-8d3f38cccb7a96f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8d3f38cccb7a96f87d13346c2ec9d1d8fa074d9e7a3f41c59a403c7cec00e6bf"
+    },
+    {
+      "bytes": 52135,
+      "path": "data/dev/p27/mathlib-001546-0000-179b6783907369fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "179b6783907369fe5943190e79c43499ab6ed16880245050a621059fa6dba262"
+    },
+    {
+      "bytes": 49580,
+      "path": "data/internal_test/p27/mathlib-001546-0000-5eab65d72e3040f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5eab65d72e3040f939f2a7d0d7db4e58309e49b78ab38242a81f63d5f8295983"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001547.json b/manifests/batches/mathlib/001547.json
index e98a3c77bf7f63f0b77277f291daa80d02bf5075..bb625628b42d3e1ee3c2b02a9bc2717f9e5a12e0 100644
--- a/manifests/batches/mathlib/001547.json
+++ b/manifests/batches/mathlib/001547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001547",
   "batch_fingerprint": "848a7f96e05e4c0d18da745254af42f56fc72859b180914b8a88ce27a78bbeda",
   "evidence": {
@@ -841,22 +840,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001547-0000-3c5e0a22f7dfc1a2.parquet",
-      "sha256": "3c5e0a22f7dfc1a2f08a57a0b2ab6aaca887ec69a3d500021e1be7e4cede3798",
-      "bytes": 68261,
-      "rows": 8,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001547-0000-0f6502aeb6c8d92e.parquet",
-      "sha256": "0f6502aeb6c8d92e5d0b7fabd85756ff1a56a5695078ca032eed61091bea37c3",
-      "bytes": 67534,
-      "rows": 6,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyEq.of_eventually_mem_of_forall_separating_mem_iff",
     "mathlib:Filter.frequently_curry_iff",
@@ -868,5 +852,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/CountableSeparatingOn.lean\",null,null,\"HasCountableSeparatingOn.of_subtype\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/CountableSeparatingOn.lean\",null,null,\"exists_seq_separating\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Curry.lean\",null,null,\"Filter.frequently_curry_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68261,
+      "path": "data/train/pab/mathlib-001547-0000-3c5e0a22f7dfc1a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3c5e0a22f7dfc1a2f08a57a0b2ab6aaca887ec69a3d500021e1be7e4cede3798"
+    },
+    {
+      "bytes": 67534,
+      "path": "data/dev/pab/mathlib-001547-0000-0f6502aeb6c8d92e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0f6502aeb6c8d92e5d0b7fabd85756ff1a56a5695078ca032eed61091bea37c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001548.json b/manifests/batches/mathlib/001548.json
index 705b64a5fe304051292bab3c50b0bfdc28cacef3..8d770e9ac32b6dd95be46d648cece0b066901e93 100644
--- a/manifests/batches/mathlib/001548.json
+++ b/manifests/batches/mathlib/001548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001548",
   "batch_fingerprint": "c6302544c6a48b634bb9bfd83e5ac23fab6ccb0a53fce2eb8bdfbf8e3b8aa9b0",
   "evidence": {
@@ -947,29 +946,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001548-0000-393cd661b6bda215.parquet",
-      "sha256": "393cd661b6bda2159f4b1192c2bbf0a745fb6181e7679430f7c5df79fef5f6bf",
-      "bytes": 57527,
-      "rows": 6,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001548-0000-0350d35691c6d243.parquet",
-      "sha256": "0350d35691c6d243c1cbc176529574827201b88e648dd216f15188ccf24f0430",
-      "bytes": 39615,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001548-0000-d7d5051b61f8c180.parquet",
-      "sha256": "d7d5051b61f8c180b465e53089d48f96e15c772fc869a2d39018d4965e4e9c7b",
-      "bytes": 49598,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ENNReal.limsup_liminf_le_liminf_limsup",
     "mathlib:ENNReal.limsup_mul_le",
@@ -989,5 +966,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/EventuallyConst.lean\",null,null,\"Filter.eventuallyConst_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/EventuallyConst.lean\",null,null,\"Filter.eventuallyConst_pred\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/EventuallyConst.lean\",null,null,\"Filter.eventuallyConst_pred'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57527,
+      "path": "data/train/p61/mathlib-001548-0000-393cd661b6bda215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "393cd661b6bda2159f4b1192c2bbf0a745fb6181e7679430f7c5df79fef5f6bf"
+    },
+    {
+      "bytes": 39615,
+      "path": "data/dev/p61/mathlib-001548-0000-0350d35691c6d243.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0350d35691c6d243c1cbc176529574827201b88e648dd216f15188ccf24f0430"
+    },
+    {
+      "bytes": 49598,
+      "path": "data/internal_test/p61/mathlib-001548-0000-d7d5051b61f8c180.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7d5051b61f8c180b465e53089d48f96e15c772fc869a2d39018d4965e4e9c7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001549.json b/manifests/batches/mathlib/001549.json
index 2791d3c73b38613ef1ea6579154ba1709e0b81c2..939830198cb7a15f055e3da6550ba5af660c191e 100644
--- a/manifests/batches/mathlib/001549.json
+++ b/manifests/batches/mathlib/001549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001549",
   "batch_fingerprint": "326e0c6c3f8216462c07a9068e3bcaef463a830990d566090b46452420a12af8",
   "evidence": {
@@ -2143,22 +2142,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001549-0000-632b095e1606128c.parquet",
-      "sha256": "632b095e1606128cadff720b99d6705b0d0b767a5440ae973da99127e5ed3b14",
-      "bytes": 64769,
-      "rows": 14,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001549-0000-f3989b001e0d0c1a.parquet",
-      "sha256": "f3989b001e0d0c1a7e5d91f5c976222b0a8294e372e9453bf31bcf83771e40f6",
-      "bytes": 39365,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyLE.isMaxFilter",
     "mathlib:Filter.Germ.coe_lt",
@@ -2184,5 +2168,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/FilterProduct.lean\",null,null,\"Filter.Germ.const_max\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/FilterProduct.lean\",null,null,\"Filter.Germ.const_min\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/FilterProduct.lean\",null,null,\"Filter.Germ.lt_def\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64769,
+      "path": "data/train/p50/mathlib-001549-0000-632b095e1606128c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "632b095e1606128cadff720b99d6705b0d0b767a5440ae973da99127e5ed3b14"
+    },
+    {
+      "bytes": 39365,
+      "path": "data/dev/p50/mathlib-001549-0000-f3989b001e0d0c1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f3989b001e0d0c1a7e5d91f5c976222b0a8294e372e9453bf31bcf83771e40f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001550.json b/manifests/batches/mathlib/001550.json
index def9e0cc34fb78a95ece34f94c95dbb83ce11aa0..60ad775c08700b96cb93baafa6b2e7842c666f7f 100644
--- a/manifests/batches/mathlib/001550.json
+++ b/manifests/batches/mathlib/001550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001550",
   "batch_fingerprint": "1509af5eb8c4ad4ed7b3b45dd5c6b67ebc85c1b388def2307e5e1213303a36c1",
   "evidence": {
@@ -1590,15 +1589,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001550-0000-66bbf164c65e18c0.parquet",
-      "sha256": "66bbf164c65e18c0db53d65396ed19c9f60c8fef1598552c3909431f3cc505bf",
-      "bytes": 49819,
-      "rows": 8,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyEq.mulIndicator_one",
     "mathlib:Filter.Germ.isConstant_coe_const",
@@ -1612,5 +1603,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Germ.lean\",null,null,\"Filter.Germ.isConstant_comp_tendsto\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Germ.lean\",null,null,\"Filter.Germ.map_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/IndicatorFunction.lean\",null,null,\"Filter.EventuallyEq.mulIndicator_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49819,
+      "path": "data/train/pc7/mathlib-001550-0000-66bbf164c65e18c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "66bbf164c65e18c0db53d65396ed19c9f60c8fef1598552c3909431f3cc505bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001551.json b/manifests/batches/mathlib/001551.json
index 530be47b3b3273204d7b868d9b3256721d210eae..1dc5f0de590c0a4616e72acc69198ac316f97dd6 100644
--- a/manifests/batches/mathlib/001551.json
+++ b/manifests/batches/mathlib/001551.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001551",
   "batch_fingerprint": "204cf5db46ac131723eba9b88ab0b6b52439334dc8ff851c69c6138317671d72",
   "evidence": {
@@ -392,29 +391,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001551-0000-9904061452137345.parquet",
-      "sha256": "9904061452137345a0a6caf1e36d2d75ae67c4bc6c5185900eb1b52ae4760fe4",
-      "bytes": 56844,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001551-0000-0ae992b3e5c276ad.parquet",
-      "sha256": "0ae992b3e5c276ad5b24b2d2e783c638dcbc34fc5bd9f7627172358e296a1abe",
-      "bytes": 36547,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001551-0000-5d6d8fbf1a1f9218.parquet",
-      "sha256": "5d6d8fbf1a1f92187001426879c250783075da0bc3e4881d144069a248d84126",
-      "bytes": 33777,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.ker_comap",
     "mathlib:Filter.ker_eq_univ",
@@ -428,5 +405,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ker.lean\",null,null,\"Filter.ker_comap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ker.lean\",null,null,\"Filter.ker_eq_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ker.lean\",null,null,\"Filter.ker_pure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56844,
+      "path": "data/train/pbf/mathlib-001551-0000-9904061452137345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9904061452137345a0a6caf1e36d2d75ae67c4bc6c5185900eb1b52ae4760fe4"
+    },
+    {
+      "bytes": 36547,
+      "path": "data/dev/pbf/mathlib-001551-0000-0ae992b3e5c276ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0ae992b3e5c276ad5b24b2d2e783c638dcbc34fc5bd9f7627172358e296a1abe"
+    },
+    {
+      "bytes": 33777,
+      "path": "data/internal_test/pbf/mathlib-001551-0000-5d6d8fbf1a1f9218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5d6d8fbf1a1f92187001426879c250783075da0bc3e4881d144069a248d84126"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001552.json b/manifests/batches/mathlib/001552.json
index 2915946279089f4d6b41ab0b8ad800db738d67cf..cc33743473653cf270b24a38c8d9d182ef4abcf1 100644
--- a/manifests/batches/mathlib/001552.json
+++ b/manifests/batches/mathlib/001552.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001552",
   "batch_fingerprint": "4330ef4d1f44b8d20c9a8a9780e9e5137b7ea31e729ae45e876b562502430a1b",
   "evidence": {
@@ -1460,29 +1459,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001552-0000-e3dfc351771f7260.parquet",
-      "sha256": "e3dfc351771f726014ddaecd6d16cdd6a25251ad544c72d707b054234fa67d8b",
-      "bytes": 105880,
-      "rows": 26,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001552-0000-f1a36cbe59fda20c.parquet",
-      "sha256": "f1a36cbe59fda20cfc93caf215ab659a3a029841fa8fd5a30607c2865971bcc3",
-      "bytes": 52333,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001552-0000-a9a1dca5184db9f6.parquet",
-      "sha256": "a9a1dca5184db9f6af7216e59a6df7b83592587688e671a0587a433541de2cc6",
-      "bytes": 38659,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.HasBasis.lift",
     "mathlib:Filter.HasBasis.lift'",
@@ -1532,5 +1509,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Lift.lean\",null,null,\"Filter.tendsto_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Lift.lean\",null,null,\"Filter.tendsto_lift'\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 105880,
+      "path": "data/train/p5f/mathlib-001552-0000-e3dfc351771f7260.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e3dfc351771f726014ddaecd6d16cdd6a25251ad544c72d707b054234fa67d8b"
+    },
+    {
+      "bytes": 52333,
+      "path": "data/dev/p5f/mathlib-001552-0000-f1a36cbe59fda20c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f1a36cbe59fda20cfc93caf215ab659a3a029841fa8fd5a30607c2865971bcc3"
+    },
+    {
+      "bytes": 38659,
+      "path": "data/internal_test/p5f/mathlib-001552-0000-a9a1dca5184db9f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a9a1dca5184db9f6af7216e59a6df7b83592587688e671a0587a433541de2cc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001553.json b/manifests/batches/mathlib/001553.json
index 9fbb0bf59d8e008ddc0d1404197eeb58331c6bcf..5730b8a8a37525b96a14155efa64f3ad81377eb5 100644
--- a/manifests/batches/mathlib/001553.json
+++ b/manifests/batches/mathlib/001553.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001553",
   "batch_fingerprint": "b69517d0c49020b7562e21cb7947a291136a5bc9ab90b2b7f7b89f6cfeef8239",
   "evidence": {
@@ -669,29 +668,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001553-0000-7ca1d675db9f9936.parquet",
-      "sha256": "7ca1d675db9f993652a3dc7bbfe9630715517fde1ad7a9530a16c2f096825316",
-      "bytes": 97487,
-      "rows": 24,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001553-0000-f814a24738dfd520.parquet",
-      "sha256": "f814a24738dfd520c848c22a92658b77790e581083a6b7aae8817ddab574bee0",
-      "bytes": 54879,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001553-0000-d30319eb1fb27683.parquet",
-      "sha256": "d30319eb1fb276838923761172770d4fdb064e5c933245265587eb80f5222843",
-      "bytes": 68295,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.map_map\u2082",
     "mathlib:Filter.map_map\u2082_antidistrib",
@@ -747,5 +724,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/NAry.lean\",null,null,\"Filter.map\u2082_sup_left\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/NAry.lean\",null,null,\"Filter.map\u2082_swap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97487,
+      "path": "data/train/pa5/mathlib-001553-0000-7ca1d675db9f9936.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7ca1d675db9f993652a3dc7bbfe9630715517fde1ad7a9530a16c2f096825316"
+    },
+    {
+      "bytes": 54879,
+      "path": "data/dev/pa5/mathlib-001553-0000-f814a24738dfd520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f814a24738dfd520c848c22a92658b77790e581083a6b7aae8817ddab574bee0"
+    },
+    {
+      "bytes": 68295,
+      "path": "data/internal_test/pa5/mathlib-001553-0000-d30319eb1fb27683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d30319eb1fb276838923761172770d4fdb064e5c933245265587eb80f5222843"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001554.json b/manifests/batches/mathlib/001554.json
index 8f986e3bfd7997e221b31d7d7201a08c1764975e..de044f9913996e3901d08329cf90b7dfdcb93186 100644
--- a/manifests/batches/mathlib/001554.json
+++ b/manifests/batches/mathlib/001554.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001554",
   "batch_fingerprint": "77b301319fe80fd97e2be9cfa33df8834fac53b3e418d73d1c75e7f35ff2adaf",
   "evidence": {
@@ -1178,29 +1177,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001554-0000-4b8928e9493671d0.parquet",
-      "sha256": "4b8928e9493671d04d6eb9d42935110de07cd8879679da699e08ee3dc21308ea",
-      "bytes": 156042,
-      "rows": 41,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001554-0000-8822c98895f67e4e.parquet",
-      "sha256": "8822c98895f67e4ea0d333af70865a7d9b4e8c610d67a1b572e943e52b50f8b5",
-      "bytes": 35284,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001554-0000-6ba0463f9853c514.parquet",
-      "sha256": "6ba0463f9853c514ba4b78cdc9becb8f31ec99553db1c2267a2941ba10d44218",
-      "bytes": 44948,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.compl_mem_coprod\u1d62",
     "mathlib:Filter.coprod\u1d62_eq_bot_iff",
@@ -1254,5 +1231,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Pi.lean\",null,null,\"Filter.pi_principal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Pi.lean\",null,null,\"Filter.pi_pure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Pi.lean\",null,null,\"Filter.tendsto_pi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156042,
+      "path": "data/train/pad/mathlib-001554-0000-4b8928e9493671d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "4b8928e9493671d04d6eb9d42935110de07cd8879679da699e08ee3dc21308ea"
+    },
+    {
+      "bytes": 35284,
+      "path": "data/dev/pad/mathlib-001554-0000-8822c98895f67e4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8822c98895f67e4ea0d333af70865a7d9b4e8c610d67a1b572e943e52b50f8b5"
+    },
+    {
+      "bytes": 44948,
+      "path": "data/internal_test/pad/mathlib-001554-0000-6ba0463f9853c514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6ba0463f9853c514ba4b78cdc9becb8f31ec99553db1c2267a2941ba10d44218"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001555.json b/manifests/batches/mathlib/001555.json
index 6152671975a2f1137cb9ecd7c25e970645fb53e8..b5bff7221bded5a9b107d73af38c722182f2760b 100644
--- a/manifests/batches/mathlib/001555.json
+++ b/manifests/batches/mathlib/001555.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001555",
   "batch_fingerprint": "23bfb695d06de6cdc9386998ffc06d4172712c061b02ccd8c3e28640bf2a24ba",
   "evidence": {
@@ -4326,29 +4325,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001555-0000-93c2e9e83e9a68b7.parquet",
-      "sha256": "93c2e9e83e9a68b70e92bf9f2f7ee2b1952768c6b1e6d18d7f4f5719cec91f76",
-      "bytes": 276368,
-      "rows": 82,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001555-0000-7e758662335d5c32.parquet",
-      "sha256": "7e758662335d5c327ecaf4d111acd5086acb7ab59b4bacadb1caa15d8837c9c1",
-      "bytes": 66348,
-      "rows": 6,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001555-0000-79683a6451d7d8d4.parquet",
-      "sha256": "79683a6451d7d8d40bba26f5dca6fb7f0a7470c2f42d79ea3d40c7f448cacf8f",
-      "bytes": 72119,
-      "rows": 15,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Eventually.curry",
     "mathlib:Filter.Eventually.diag_of_prod",
@@ -4470,5 +4447,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Prod.lean\",null,null,\"Filter.sup_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Prod.lean\",null,null,\"Filter.tendsto_prod_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Prod.lean\",null,null,\"Filter.top_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276368,
+      "path": "data/train/p8e/mathlib-001555-0000-93c2e9e83e9a68b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "93c2e9e83e9a68b70e92bf9f2f7ee2b1952768c6b1e6d18d7f4f5719cec91f76"
+    },
+    {
+      "bytes": 66348,
+      "path": "data/dev/p8e/mathlib-001555-0000-7e758662335d5c32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7e758662335d5c327ecaf4d111acd5086acb7ab59b4bacadb1caa15d8837c9c1"
+    },
+    {
+      "bytes": 72119,
+      "path": "data/internal_test/p8e/mathlib-001555-0000-79683a6451d7d8d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "79683a6451d7d8d40bba26f5dca6fb7f0a7470c2f42d79ea3d40c7f448cacf8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001556.json b/manifests/batches/mathlib/001556.json
index 93bb934b6d64532ad4be22f18e16732c04b1f304..510fc6b72cbe37f8a3d078853c07b9c7e66adcc3 100644
--- a/manifests/batches/mathlib/001556.json
+++ b/manifests/batches/mathlib/001556.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001556",
   "batch_fingerprint": "b84d6594bd48073ac972e673eaf714ca058b912a88ed8581dacb8ba08f0310c3",
   "evidence": {
@@ -437,29 +436,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001556-0000-589fb0ffcaeaa42b.parquet",
-      "sha256": "589fb0ffcaeaa42b133c1cd0bbac0b22bded5cd1527dca38ecc363b60c7ed7fa",
-      "bytes": 71002,
-      "rows": 12,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001556-0000-63943bcb477cd92f.parquet",
-      "sha256": "63943bcb477cd92f7727ffb90b6d203b86b1162c98962eafe6a4638229c975ad",
-      "bytes": 36663,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001556-0000-3c8f8bca41475ca3.parquet",
-      "sha256": "3c8f8bca41475ca3faca9fa0d36541c9a8b991c0cca9e86300d629c1fc7cf9aa",
-      "bytes": 46573,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.EventuallyLE.mul_le_mul",
     "mathlib:Filter.EventuallyLE.mul_nonneg",
@@ -483,5 +460,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/SmallSets.lean\",null,null,\"Filter.smallSets_eq_generate\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/SmallSets.lean\",null,null,\"Filter.smallSets_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/SmallSets.lean\",null,null,\"Filter.tendsto_image_smallSets\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71002,
+      "path": "data/train/p61/mathlib-001556-0000-589fb0ffcaeaa42b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "589fb0ffcaeaa42b133c1cd0bbac0b22bded5cd1527dca38ecc363b60c7ed7fa"
+    },
+    {
+      "bytes": 36663,
+      "path": "data/dev/p61/mathlib-001556-0000-63943bcb477cd92f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "63943bcb477cd92f7727ffb90b6d203b86b1162c98962eafe6a4638229c975ad"
+    },
+    {
+      "bytes": 46573,
+      "path": "data/internal_test/p61/mathlib-001556-0000-3c8f8bca41475ca3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3c8f8bca41475ca3faca9fa0d36541c9a8b991c0cca9e86300d629c1fc7cf9aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001557.json b/manifests/batches/mathlib/001557.json
index 527dae1a38a6164cb2ad78004768d0dd086f263f..7a3a0df1ffaaadbd3df0fe39225683c38b3b40dc 100644
--- a/manifests/batches/mathlib/001557.json
+++ b/manifests/batches/mathlib/001557.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001557",
   "batch_fingerprint": "f7d1a4109ad8a3f851b05a549665912c1628fd644fef3309606dda7addbc68ec",
   "evidence": {
@@ -1583,22 +1582,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001557-0000-765f4873d78c029b.parquet",
-      "sha256": "765f4873d78c029bf6e8f5a142024e4e5a7d89b0320a6a03396b555f421eca96",
-      "bytes": 79180,
-      "rows": 27,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001557-0000-d6c058229e483381.parquet",
-      "sha256": "d6c058229e4833814ca1de73c9d066d4119dee564e95181ad8523fd03f077e8d",
-      "bytes": 53912,
-      "rows": 9,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.NeBot.eq_pure_iff",
     "mathlib:Filter.Subsingleton.exists_eq_pure",
@@ -1644,5 +1628,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ultrafilter.lean\",null,null,\"Ultrafilter.le_sup_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ultrafilter.lean\",null,null,\"Ultrafilter.ofComapInfPrincipal_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Filter/Ultrafilter.lean\",null,null,\"Ultrafilter.union_mem_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79180,
+      "path": "data/train/p8c/mathlib-001557-0000-765f4873d78c029b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "765f4873d78c029bf6e8f5a142024e4e5a7d89b0320a6a03396b555f421eca96"
+    },
+    {
+      "bytes": 53912,
+      "path": "data/internal_test/p8c/mathlib-001557-0000-d6c058229e483381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d6c058229e4833814ca1de73c9d066d4119dee564e95181ad8523fd03f077e8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001558.json b/manifests/batches/mathlib/001558.json
index 4a6051800fc25188124837f5368f459b095a9109..c0b5346459a953182056c75d9510e5f73d40005d 100644
--- a/manifests/batches/mathlib/001558.json
+++ b/manifests/batches/mathlib/001558.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001558",
   "batch_fingerprint": "f9c10e76b46c720a3fddd20859d9cfe676887f1fa5a0ff828a6dc7531bc638fc",
   "evidence": {
@@ -999,15 +998,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001558-0000-1a70ae471e65c04d.parquet",
-      "sha256": "1a70ae471e65c04d45c2e6d6be5ff6fad59773fda2c588661eb837da70ccccce",
-      "bytes": 60748,
-      "rows": 14,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.BoundedAtFilter.add",
     "mathlib:Filter.BoundedAtFilter.mul",
@@ -1029,5 +1020,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Fin.lean\",null,null,\"Fin.castOrderIso_refl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Fin.lean\",null,null,\"Fin.rev_last_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Fin.lean\",null,null,\"Fin.symm_castOrderIso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60748,
+      "path": "data/train/p63/mathlib-001558-0000-1a70ae471e65c04d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1a70ae471e65c04d45c2e6d6be5ff6fad59773fda2c588661eb837da70ccccce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001559.json b/manifests/batches/mathlib/001559.json
index 0758f38bdb9595301201cd0b248ce0ddeed36ef1..d1e3eabc7f7f9ed2128587083dd856151ea6c08b 100644
--- a/manifests/batches/mathlib/001559.json
+++ b/manifests/batches/mathlib/001559.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001559",
   "batch_fingerprint": "edb9a6459942a71a62dfd2dd8a1ba4484f7b00b6993913cce55e7af1bd00f3e8",
   "evidence": {
@@ -2689,29 +2688,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001559-0000-02a74225e0809455.parquet",
-      "sha256": "02a74225e080945572e464e9e689b70730cd3a116588ff41a137f672a7be547b",
-      "bytes": 89937,
-      "rows": 25,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001559-0000-c6563a3b7bf97dff.parquet",
-      "sha256": "c6563a3b7bf97dffd25feb3ff5a8d1b1d30c1d140111544bdf0b9b2c40d61a5b",
-      "bytes": 60134,
-      "rows": 2,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001559-0000-bbb0e56062ce0d26.parquet",
-      "sha256": "bbb0e56062ce0d26b3af930277117548d6c8d9926983c61e2af8238e37dda3cb",
-      "bytes": 43859,
-      "rows": 1,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:GaloisConnection.bddAbove_l_image",
     "mathlib:GaloisConnection.compl",
@@ -2755,5 +2732,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GaloisConnection.lean\",null,null,\"OrderIso.bddAbove_preimage\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GaloisConnection.lean\",null,null,\"sInf_image2_eq_sInf_sInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GaloisConnection.lean\",null,null,\"sSup_image2_eq_sSup_sSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89937,
+      "path": "data/train/pc9/mathlib-001559-0000-02a74225e0809455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "02a74225e080945572e464e9e689b70730cd3a116588ff41a137f672a7be547b"
+    },
+    {
+      "bytes": 60134,
+      "path": "data/dev/pc9/mathlib-001559-0000-c6563a3b7bf97dff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c6563a3b7bf97dffd25feb3ff5a8d1b1d30c1d140111544bdf0b9b2c40d61a5b"
+    },
+    {
+      "bytes": 43859,
+      "path": "data/internal_test/pc9/mathlib-001559-0000-bbb0e56062ce0d26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bbb0e56062ce0d26b3af930277117548d6c8d9926983c61e2af8238e37dda3cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001560.json b/manifests/batches/mathlib/001560.json
index 52d9109a68f27b72ae2999e8cf8cf862ebfcdabe..bb7b8c365361ea5f1a3fdd36b21fa6f50ea15b8e 100644
--- a/manifests/batches/mathlib/001560.json
+++ b/manifests/batches/mathlib/001560.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001560",
   "batch_fingerprint": "1eb8eb3f6c60b3d99f4d1fb4235e62c662a7f9699d856d9bc34f53021c892dc9",
   "evidence": {
@@ -900,22 +899,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001560-0000-aed307d3e355ebb1.parquet",
-      "sha256": "aed307d3e355ebb1ec1b28ca4cc76b1400164439af0603ff208c4ec6bb0f9c74",
-      "bytes": 62201,
-      "rows": 13,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001560-0000-d033e0f810860ac4.parquet",
-      "sha256": "d033e0f810860ac4e1e90b5cf7712b9b8e1987fffca34a78a84ebc94d29512f4",
-      "bytes": 57926,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Acc.prod_gameAdd",
     "mathlib:Prod.gameAdd_swap_swap",
@@ -933,5 +917,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GameAdd.lean\",null,null,\"Sym2.GameAdd.fst_snd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GameAdd.lean\",null,null,\"Sym2.GameAdd.snd_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/GameAdd.lean\",null,null,\"Sym2.gameAdd_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62201,
+      "path": "data/train/pc0/mathlib-001560-0000-aed307d3e355ebb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "aed307d3e355ebb1ec1b28ca4cc76b1400164439af0603ff208c4ec6bb0f9c74"
+    },
+    {
+      "bytes": 57926,
+      "path": "data/internal_test/pc0/mathlib-001560-0000-d033e0f810860ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d033e0f810860ac4e1e90b5cf7712b9b8e1987fffca34a78a84ebc94d29512f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001561.json b/manifests/batches/mathlib/001561.json
index 7bfb6378d6494060986bd28cb184fd0f19b4ee0e..ddcd440532d99dd6fefa904f5e2a3868b784d616 100644
--- a/manifests/batches/mathlib/001561.json
+++ b/manifests/batches/mathlib/001561.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001561",
   "batch_fingerprint": "a9df5eaf6a1ee4b0d1f0d1d2cf85926821f2a08a2f9d463bfe81dc07dd4e2921",
   "evidence": {
@@ -4216,29 +4215,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001561-0000-baebe0b2a88dee71.parquet",
-      "sha256": "baebe0b2a88dee718caf2a3aea36760cc5443da2fb4f4a6cda8264b549ee4d87",
-      "bytes": 250107,
-      "rows": 97,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001561-0000-5987308e43aa9c3f.parquet",
-      "sha256": "5987308e43aa9c3f2c3c1036316679b4c23880b9c795cad5de3b3f52e8319b2d",
-      "bytes": 41197,
-      "rows": 5,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001561-0000-5b2f9e41f39d8b44.parquet",
-      "sha256": "5b2f9e41f39d8b44905f8207b8e26e4fec4969930117e4b2ade4f7549e517288",
-      "bytes": 39924,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Codisjoint.himp_eq_right",
     "mathlib:Codisjoint.himp_inf_cancel_left",
@@ -4404,5 +4381,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Basic.lean\",null,null,\"sup_sdiff_left_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Basic.lean\",null,null,\"sup_sdiff_right_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Basic.lean\",null,null,\"top_himp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250107,
+      "path": "data/train/pda/mathlib-001561-0000-baebe0b2a88dee71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "baebe0b2a88dee718caf2a3aea36760cc5443da2fb4f4a6cda8264b549ee4d87"
+    },
+    {
+      "bytes": 41197,
+      "path": "data/dev/pda/mathlib-001561-0000-5987308e43aa9c3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5987308e43aa9c3f2c3c1036316679b4c23880b9c795cad5de3b3f52e8319b2d"
+    },
+    {
+      "bytes": 39924,
+      "path": "data/internal_test/pda/mathlib-001561-0000-5b2f9e41f39d8b44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5b2f9e41f39d8b44905f8207b8e26e4fec4969930117e4b2ade4f7549e517288"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001562.json b/manifests/batches/mathlib/001562.json
index e748659e0759a98d33d4824a5d679878fbfb5e9a..f8b64fbc6d920964b079944ecddd50498b451ca4 100644
--- a/manifests/batches/mathlib/001562.json
+++ b/manifests/batches/mathlib/001562.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001562",
   "batch_fingerprint": "32277a16d44b6cf4287d47546b599d546b15f2c1ae46d567d40b0e996a221de4",
   "evidence": {
@@ -1201,22 +1200,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001562-0000-350153aacb4cc548.parquet",
-      "sha256": "350153aacb4cc548fc27f05db1d767a1435e76994063f980058fb4ed511c741f",
-      "bytes": 53826,
-      "rows": 13,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001562-0000-afb16e6a5dd42dc2.parquet",
-      "sha256": "afb16e6a5dd42dc250d78741be135da43c362e0fa0c26dec38632bade8606c04",
-      "bytes": 47486,
-      "rows": 6,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BiheytingHom.cancel_left",
     "mathlib:Coheyting.boundary_hnot_hnot",
@@ -1250,5 +1234,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Hom.lean\",null,null,\"map_compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Hom.lean\",null,null,\"map_hnot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Heyting/Hom.lean\",null,null,\"map_symmDiff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53826,
+      "path": "data/train/pf4/mathlib-001562-0000-350153aacb4cc548.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "350153aacb4cc548fc27f05db1d767a1435e76994063f980058fb4ed511c741f"
+    },
+    {
+      "bytes": 47486,
+      "path": "data/internal_test/pf4/mathlib-001562-0000-afb16e6a5dd42dc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "afb16e6a5dd42dc250d78741be135da43c362e0fa0c26dec38632bade8606c04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001563.json b/manifests/batches/mathlib/001563.json
index 3120f086b3470918626d5c8a306f8ed77b22fade..5283a9ff8499013c2a44e0f2537352aee62eef1b 100644
--- a/manifests/batches/mathlib/001563.json
+++ b/manifests/batches/mathlib/001563.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001563",
   "batch_fingerprint": "a4ce73d293dbecb763bcdedc5a24b1fe65569df88d59f3c309c7d6b541d64097",
   "evidence": {
@@ -2981,29 +2980,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001563-0000-9184a99ae4544bb0.parquet",
-      "sha256": "9184a99ae4544bb08180bee3bcd0ea2e0ab51a1c0e8b72818dcbd252d7801331",
-      "bytes": 149651,
-      "rows": 39,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001563-0000-5b71052b999ac840.parquet",
-      "sha256": "5b71052b999ac8409e946ff6a43a9270095fa18044bcd46aab23df9f2d2f4bc3",
-      "bytes": 51891,
-      "rows": 4,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001563-0000-336987a3b92c7ddc.parquet",
-      "sha256": "336987a3b92c7ddc405fc3247e5e624ee1c6e6fc367c0763bd75dc72f631600b",
-      "bytes": 40151,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Codisjoint.map_orderIso",
     "mathlib:Disjoint.map_orderIso",
@@ -3055,5 +3032,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Basic.lean\",null,null,\"lt_map_inv_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Basic.lean\",null,null,\"map_inv_le_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Basic.lean\",null,null,\"map_inv_lt_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149651,
+      "path": "data/train/p4d/mathlib-001563-0000-9184a99ae4544bb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "9184a99ae4544bb08180bee3bcd0ea2e0ab51a1c0e8b72818dcbd252d7801331"
+    },
+    {
+      "bytes": 51891,
+      "path": "data/dev/p4d/mathlib-001563-0000-5b71052b999ac840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5b71052b999ac8409e946ff6a43a9270095fa18044bcd46aab23df9f2d2f4bc3"
+    },
+    {
+      "bytes": 40151,
+      "path": "data/internal_test/p4d/mathlib-001563-0000-336987a3b92c7ddc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "336987a3b92c7ddc405fc3247e5e624ee1c6e6fc367c0763bd75dc72f631600b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001564.json b/manifests/batches/mathlib/001564.json
index 17b9fc5fe0e3af122d033747501970b0485089a2..2907285a5191575b76fa3ab79ab804869d51663d 100644
--- a/manifests/batches/mathlib/001564.json
+++ b/manifests/batches/mathlib/001564.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001564",
   "batch_fingerprint": "c0c865d103541a6c1c29add12e0d73812a330c796cfaa437539c1ec9a7b6ccd3",
   "evidence": {
@@ -2988,22 +2987,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001564-0000-14d2a9657ec6c0fc.parquet",
-      "sha256": "14d2a9657ec6c0fc8a00fdaa6bee8bb9a1789cab6d5e188c721618ae61bf35f7",
-      "bytes": 73703,
-      "rows": 13,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001564-0000-377547402527be00.parquet",
-      "sha256": "377547402527be000970c191f2721ae26a6378128fe2de061e9dbcec33adfa9e",
-      "bytes": 43628,
-      "rows": 2,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BotHom.cancel_left",
     "mathlib:BoundedOrderHom.cancel_left",
@@ -3033,5 +3017,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/CompleteLattice.lean\",null,null,\"map_iSup\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/CompleteLattice.lean\",null,null,\"sInfHom.cancel_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/CompleteLattice.lean\",null,null,\"sSupHom.cancel_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73703,
+      "path": "data/train/pa8/mathlib-001564-0000-14d2a9657ec6c0fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "14d2a9657ec6c0fc8a00fdaa6bee8bb9a1789cab6d5e188c721618ae61bf35f7"
+    },
+    {
+      "bytes": 43628,
+      "path": "data/internal_test/pa8/mathlib-001564-0000-377547402527be00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "377547402527be000970c191f2721ae26a6378128fe2de061e9dbcec33adfa9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001565.json b/manifests/batches/mathlib/001565.json
index 0264f242e15c49bb2e7da11b5b3fb435b9ae754f..9fb2857d9c4d0fb03c78cb6a72a7436a9c1cfe6e 100644
--- a/manifests/batches/mathlib/001565.json
+++ b/manifests/batches/mathlib/001565.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001565",
   "batch_fingerprint": "4988b4993705ab9acc55731fab1f2618cc4052cef78340eac567086684216673",
   "evidence": {
@@ -3990,15 +3989,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001565-0000-1591ad97d51a4349.parquet",
-      "sha256": "1591ad97d51a4349807bea8c2ba34c086fc5f1b51db1ef0a78b34fc95634c829",
-      "bytes": 72991,
-      "rows": 19,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedLatticeHom.cancel_left",
     "mathlib:Codisjoint.map",
@@ -4030,5 +4021,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Lattice.lean\",null,null,\"map_symmDiff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Order.lean\",null,null,\"OrderHom.coe_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Hom/Order.lean\",null,null,\"OrderHom.coe_iSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72991,
+      "path": "data/train/p80/mathlib-001565-0000-1591ad97d51a4349.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1591ad97d51a4349807bea8c2ba34c086fc5f1b51db1ef0a78b34fc95634c829"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001566.json b/manifests/batches/mathlib/001566.json
index 45ea58748137097be3951553157bbca8173ea779..a29fade645ba4e516e5fce30d6fc0da37338cbed 100644
--- a/manifests/batches/mathlib/001566.json
+++ b/manifests/batches/mathlib/001566.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001566",
   "batch_fingerprint": "17bd85a20b4d7e91761884f8dd3da22cea38b469c80b49f5e68ef70e6589b46f",
   "evidence": {
@@ -1266,15 +1265,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001566-0000-795593e54fa8ce1c.parquet",
-      "sha256": "795593e54fa8ce1c82f35a5f9db604d460f1b57f74ea0bf0f12b566635aceeaf",
-      "bytes": 91129,
-      "rows": 29,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCoatom.isMaximal",
     "mathlib:Order.Ideal.IsProper.not_mem_of_compl_mem",
@@ -1302,5 +1293,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Ideal.lean\",null,null,\"Order.Ideal.top_of_top_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Ideal.lean\",null,null,\"Order.isIdeal_sUnion_of_directedOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Ideal.lean\",null,null,\"Order.sequenceOfCofinals.encode_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91129,
+      "path": "data/train/p42/mathlib-001566-0000-795593e54fa8ce1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "795593e54fa8ce1c82f35a5f9db604d460f1b57f74ea0bf0f12b566635aceeaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001567.json b/manifests/batches/mathlib/001567.json
index cdfef66d28528c593fe16facc6b28cea2a552dbe..1adda09c7218b997ddd13a63038008c851dffb8c 100644
--- a/manifests/batches/mathlib/001567.json
+++ b/manifests/batches/mathlib/001567.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001567",
   "batch_fingerprint": "ca6c95b6fd482e8065355414e54c771058beca8326730ae2315d5d7af7246dd7",
   "evidence": {
@@ -2281,22 +2280,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001567-0000-1452cf814e59b354.parquet",
-      "sha256": "1452cf814e59b354de76cdef9bd63ae95fa7e20fbaa5b97914ca742f4cd5e5ba",
-      "bytes": 153699,
-      "rows": 35,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001567-0000-3e7d7000c694486c.parquet",
-      "sha256": "3e7d7000c694486cca08f47de6c85b4650c0dc2b011ecdf99532bd47fbe1103a",
-      "bytes": 40866,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:InitialSeg.acc",
     "mathlib:InitialSeg.eq",
@@ -2334,5 +2318,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Basic.lean\",null,null,\"NonemptyInterval.coe_eq_pure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Basic.lean\",null,null,\"NonemptyInterval.mem_pure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Basic.lean\",null,null,\"NonemptyInterval.toProd_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153699,
+      "path": "data/train/p06/mathlib-001567-0000-1452cf814e59b354.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "1452cf814e59b354de76cdef9bd63ae95fa7e20fbaa5b97914ca742f4cd5e5ba"
+    },
+    {
+      "bytes": 40866,
+      "path": "data/internal_test/p06/mathlib-001567-0000-3e7d7000c694486c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3e7d7000c694486cca08f47de6c85b4650c0dc2b011ecdf99532bd47fbe1103a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001568.json b/manifests/batches/mathlib/001568.json
index 3431d617cca0dcc775b9cc749e2a439397f0b31b..9b80afc607cd0eb98715e70cd2380a5e5aeac4e7 100644
--- a/manifests/batches/mathlib/001568.json
+++ b/manifests/batches/mathlib/001568.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001568",
   "batch_fingerprint": "500f483ae952b5045f40372f6240ee20103f9b7c72082431182734b2fdfec648",
   "evidence": {
@@ -2732,29 +2731,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001568-0000-1b1bdb688712609c.parquet",
-      "sha256": "1b1bdb688712609c66d20a1638130cb5705cc1f73f137f81354471338e759b75",
-      "bytes": 376757,
-      "rows": 134,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001568-0000-9c4a771eef6ea0bf.parquet",
-      "sha256": "9c4a771eef6ea0bfbb0025c1727cbf6f5b6f33d569fd1f03f8aacec378d6f646",
-      "bytes": 47511,
-      "rows": 10,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001568-0000-67b57aa2cd786cb5.parquet",
-      "sha256": "67b57aa2cd786cb5598e66969a707e7e23c4c7b655dc0467e23ed5865b548d79",
-      "bytes": 57079,
-      "rows": 11,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.Icc_diff_Ico_self",
     "mathlib:Finset.Icc_diff_Ioc_self",
@@ -2968,5 +2945,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Box.lean\",null,null,\"Finset.zero_mem_box\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Box.lean\",null,null,\"Int.card_box\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Box.lean\",null,null,\"Prod.card_box_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376757,
+      "path": "data/train/p87/mathlib-001568-0000-1b1bdb688712609c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 134,
+      "sha256": "1b1bdb688712609c66d20a1638130cb5705cc1f73f137f81354471338e759b75"
+    },
+    {
+      "bytes": 47511,
+      "path": "data/dev/p87/mathlib-001568-0000-9c4a771eef6ea0bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9c4a771eef6ea0bfbb0025c1727cbf6f5b6f33d569fd1f03f8aacec378d6f646"
+    },
+    {
+      "bytes": 57079,
+      "path": "data/internal_test/p87/mathlib-001568-0000-67b57aa2cd786cb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "67b57aa2cd786cb5598e66969a707e7e23c4c7b655dc0467e23ed5865b548d79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001569.json b/manifests/batches/mathlib/001569.json
index 8868816f8635ceff3a84c96a3699addff95f138e..0742e4f5f7559321f19eaa24033f88c826e2f9a3 100644
--- a/manifests/batches/mathlib/001569.json
+++ b/manifests/batches/mathlib/001569.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001569",
   "batch_fingerprint": "94d777732423ef89ae784875cea17df472154ce88ca24a91899c1901f7901927",
   "evidence": {
@@ -2337,29 +2336,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001569-0000-e738a87fc4b5dcec.parquet",
-      "sha256": "e738a87fc4b5dcec3578404d315977c5b30caf6a57370db81adb60a16ffe375f",
-      "bytes": 134821,
-      "rows": 59,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/dev/mathlib-001569-0000-25efc110dc843954.parquet",
-      "sha256": "25efc110dc843954351f9bd8c22c685e0a4478c9caa6bbb4997c4f31a5a31e2d",
-      "bytes": 41797,
-      "rows": 2,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    },
-    {
-      "path": "data/internal_test/mathlib-001569-0000-171e529331513972.parquet",
-      "sha256": "171e5293315139726cf028a8c679964c777335aaf6145c633b21969efda91245",
-      "bytes": 38315,
-      "rows": 3,
-      "revision": "fab8253464c6a6aed34e5d5782d2b470cbf88690"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.Ici_eq_finset_subtype",
     "mathlib:Fin.Ioi_eq_finset_subtype",
@@ -2441,5 +2418,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Fin.lean\",null,null,\"Fin.map_valEmbedding_Iio\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Fin.lean\",null,null,\"Fin.map_valEmbedding_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Finset/Fin.lean\",null,null,\"Fin.map_valEmbedding_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134821,
+      "path": "data/train/p92/mathlib-001569-0000-e738a87fc4b5dcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "e738a87fc4b5dcec3578404d315977c5b30caf6a57370db81adb60a16ffe375f"
+    },
+    {
+      "bytes": 41797,
+      "path": "data/dev/p92/mathlib-001569-0000-25efc110dc843954.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "25efc110dc843954351f9bd8c22c685e0a4478c9caa6bbb4997c4f31a5a31e2d"
+    },
+    {
+      "bytes": 38315,
+      "path": "data/internal_test/p92/mathlib-001569-0000-171e529331513972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "171e5293315139726cf028a8c679964c777335aaf6145c633b21969efda91245"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001570.json b/manifests/batches/mathlib/001570.json
index 298835158d027d1af186b3c8e0f215d08244be54..0d886885ab20356129c5e784c5021616e3559ba7 100644
--- a/manifests/batches/mathlib/001570.json
+++ b/manifests/batches/mathlib/001570.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001570",
   "batch_fingerprint": "30fdd9030e793c82e59bf436be8e0de2f70e9454860b8ac0e5ecc2b2deb47f00",
   "evidence": {
@@ -1831,22 +1830,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001570-0000-61e9caca8e213f48.parquet",
-      "sha256": "61e9caca8e213f487ba7331a7b122308c343ce65216f124248586235ef6ad51d",
-      "bytes": 185491,
-      "rows": 70,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001570-0000-207afc88b9053e55.parquet",
-      "sha256": "207afc88b9053e55a2a6879357e588a4cb50587404101c26562b85d39c642e35",
-      "bytes": 48225,
-      "rows": 8,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Multiset.Icc_self",
     "mathlib:Multiset.Ico_add_Ico_eq_Ico",
@@ -1960,5 +1944,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Multiset.lean\",null,null,\"Multiset.mem_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Multiset.lean\",null,null,\"Multiset.mem_Ioi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Multiset.lean\",null,null,\"Multiset.mem_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185491,
+      "path": "data/train/pdb/mathlib-001570-0000-61e9caca8e213f48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "61e9caca8e213f487ba7331a7b122308c343ce65216f124248586235ef6ad51d"
+    },
+    {
+      "bytes": 48225,
+      "path": "data/internal_test/pdb/mathlib-001570-0000-207afc88b9053e55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "207afc88b9053e55a2a6879357e588a4cb50587404101c26562b85d39c642e35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001571.json b/manifests/batches/mathlib/001571.json
index 12b6d303a84a5e0fb12942d6f55627e0f834f39b..ce48cc11941264f34aa9cce524bc4c1f93b4589b 100644
--- a/manifests/batches/mathlib/001571.json
+++ b/manifests/batches/mathlib/001571.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001571",
   "batch_fingerprint": "a4910c4350bc07190ba36b756ce77b4f3b35473f10d1d10b89c9c1030a015fdf",
   "evidence": {
@@ -7324,29 +7323,7 @@
     "validation_rejected_proofs": 20,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001571-0000-7b288e9386986fde.parquet",
-      "sha256": "7b288e9386986fde3c79fced927eb0ce73d79cd5abd4016bffa56b3e4ad9b7f2",
-      "bytes": 295336,
-      "rows": 121,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001571-0000-a2a881459b147c39.parquet",
-      "sha256": "a2a881459b147c392377bf36c884008c359fc512937447197e075f15b6abb3d1",
-      "bytes": 48971,
-      "rows": 5,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001571-0000-a0100c0352d5fcee.parquet",
-      "sha256": "a0100c0352d5fceede704f9ec31cb2e96d1aedbe0289d6762a12b359b3581c62",
-      "bytes": 57907,
-      "rows": 10,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Icc_bot",
     "mathlib:Set.Icc_bot_top",
@@ -7562,5 +7539,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Disjoint.lean\",null,null,\"iUnion_Ici_eq_Ioi_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Disjoint.lean\",null,null,\"iUnion_Iic_of_not_bddAbove_range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Disjoint.lean\",null,null,\"iUnion_Iio_eq_univ_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295336,
+      "path": "data/train/p57/mathlib-001571-0000-7b288e9386986fde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 121,
+      "sha256": "7b288e9386986fde3c79fced927eb0ce73d79cd5abd4016bffa56b3e4ad9b7f2"
+    },
+    {
+      "bytes": 48971,
+      "path": "data/dev/p57/mathlib-001571-0000-a2a881459b147c39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a2a881459b147c392377bf36c884008c359fc512937447197e075f15b6abb3d1"
+    },
+    {
+      "bytes": 57907,
+      "path": "data/internal_test/p57/mathlib-001571-0000-a0100c0352d5fcee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a0100c0352d5fceede704f9ec31cb2e96d1aedbe0289d6762a12b359b3581c62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001572.json b/manifests/batches/mathlib/001572.json
index 634d9874b581aacc2a93218fa9586c5d95913f0f..cc70339e3cf7b7dea7976cabb1ac1cede2973d5f 100644
--- a/manifests/batches/mathlib/001572.json
+++ b/manifests/batches/mathlib/001572.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001572",
   "batch_fingerprint": "a38c7b425d7152288590a45baf762fcc31eb8dd3ac1f2c8c4ed8f00f90d2238a",
   "evidence": {
@@ -2790,22 +2789,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001572-0000-a7fd992d6db7ce92.parquet",
-      "sha256": "a7fd992d6db7ce927c491ead2de2ce37399f723c8b6f455aa43b81516e1e9254",
-      "bytes": 48517,
-      "rows": 5,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001572-0000-8d965cbe40d38bd6.parquet",
-      "sha256": "8d965cbe40d38bd6e5640b9de1a759b7a17aa16a1fcb25d1c8a0201a62f5527d",
-      "bytes": 44057,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntitoneOn.mapsTo_Ici",
     "mathlib:AntitoneOn.mapsTo_Iic",
@@ -2821,5 +2805,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Image.lean\",null,null,\"MonotoneOn.mapsTo_Iic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Image.lean\",null,null,\"Set.image_subtype_val_Ixx_Iix\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Image.lean\",null,null,\"Set.image_subtype_val_Ixx_Ixi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48517,
+      "path": "data/train/p04/mathlib-001572-0000-a7fd992d6db7ce92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a7fd992d6db7ce927c491ead2de2ce37399f723c8b6f455aa43b81516e1e9254"
+    },
+    {
+      "bytes": 44057,
+      "path": "data/dev/p04/mathlib-001572-0000-8d965cbe40d38bd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8d965cbe40d38bd6e5640b9de1a759b7a17aa16a1fcb25d1c8a0201a62f5527d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001573.json b/manifests/batches/mathlib/001573.json
index 821e5226fc90452f804f3940889da6aa1c7a5331..69dc168a0ed893bd6a00e184eec16ab0bd01270d 100644
--- a/manifests/batches/mathlib/001573.json
+++ b/manifests/batches/mathlib/001573.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001573",
   "batch_fingerprint": "d615e618bfbee811ed51242dde9acfcd8d0ff2449e2b6eef412ad762d024301e",
   "evidence": {
@@ -1951,22 +1950,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001573-0000-e19bec73396e7bb8.parquet",
-      "sha256": "e19bec73396e7bb8f3a282f63df17aaea3148b05b28bb32982e1f7871e74b500",
-      "bytes": 79723,
-      "rows": 24,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001573-0000-a9131e62f3051bae.parquet",
-      "sha256": "a9131e62f3051baec4fca66e9819e38235c63ab02d58d0bf45ea924ece8b6145",
-      "bytes": 34443,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsAntichain.ordConnected",
     "mathlib:OrderEmbedding.image_Icc",
@@ -2004,5 +1988,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/OrdConnected.lean\",null,null,\"Set.ordConnected_of_uIcc_subset_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/OrdConnected.lean\",null,null,\"Set.ordConnected_range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/OrdConnected.lean\",null,null,\"Set.ordConnected_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79723,
+      "path": "data/train/p80/mathlib-001573-0000-e19bec73396e7bb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "e19bec73396e7bb8f3a282f63df17aaea3148b05b28bb32982e1f7871e74b500"
+    },
+    {
+      "bytes": 34443,
+      "path": "data/internal_test/p80/mathlib-001573-0000-a9131e62f3051bae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a9131e62f3051baec4fca66e9819e38235c63ab02d58d0bf45ea924ece8b6145"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001574.json b/manifests/batches/mathlib/001574.json
index e6d2d218c31f8c5ca28ab3d6bb3c619c608e5012..a94149b2871850926e5840a62eba658c3b9befbd 100644
--- a/manifests/batches/mathlib/001574.json
+++ b/manifests/batches/mathlib/001574.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001574",
   "batch_fingerprint": "0e1edc2300f41b49a8edb7d171aeea1cf01c74183d686d0834c207a577a77097",
   "evidence": {
@@ -744,29 +743,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001574-0000-127de657af59f278.parquet",
-      "sha256": "127de657af59f27848151777441bdef4afece46f39f7133a1f9736e0f8049aee",
-      "bytes": 63631,
-      "rows": 15,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001574-0000-40685f1dfa221032.parquet",
-      "sha256": "40685f1dfa221032c910d297d2d187e3344b061839326859fbd9a0339c0831e7",
-      "bytes": 54746,
-      "rows": 10,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001574-0000-d5ee0db4619ddc08.parquet",
-      "sha256": "d5ee0db4619ddc08f59a9b83648c7982860548675280a7aad488c0f0a0ce5008",
-      "bytes": 36810,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderEmbedding.preimage_Icc",
     "mathlib:OrderEmbedding.preimage_Ico",
@@ -800,5 +777,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/OrderEmbedding.lean\",null,null,\"OrderEmbedding.preimage_Ioo\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/OrderEmbedding.lean\",null,null,\"OrderEmbedding.preimage_uIoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63631,
+      "path": "data/train/p24/mathlib-001574-0000-127de657af59f278.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "127de657af59f27848151777441bdef4afece46f39f7133a1f9736e0f8049aee"
+    },
+    {
+      "bytes": 54746,
+      "path": "data/dev/p24/mathlib-001574-0000-40685f1dfa221032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "40685f1dfa221032c910d297d2d187e3344b061839326859fbd9a0339c0831e7"
+    },
+    {
+      "bytes": 36810,
+      "path": "data/internal_test/p24/mathlib-001574-0000-d5ee0db4619ddc08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d5ee0db4619ddc08f59a9b83648c7982860548675280a7aad488c0f0a0ce5008"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001575.json b/manifests/batches/mathlib/001575.json
index 3c3a18f9c36d54bdf85b619e3ed80c4860ae58f5..e40d61f5a9a0c91bf812e5dedf01af0b76ca6646 100644
--- a/manifests/batches/mathlib/001575.json
+++ b/manifests/batches/mathlib/001575.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001575",
   "batch_fingerprint": "314611ecf94f561b87e0cb413235f58df9bed6c962e5d515ac94f0d601ebe8b4",
   "evidence": {
@@ -807,29 +806,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001575-0000-de6f61829739c1d7.parquet",
-      "sha256": "de6f61829739c1d722328ea5dd787399aa3d3b07fa21cd9823f9ee7f805d193f",
-      "bytes": 134278,
-      "rows": 39,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001575-0000-b47b86e985a5d1f8.parquet",
-      "sha256": "b47b86e985a5d1f8660eea75365ac80649ab5beff1b071d0d5b1f6de34776eea",
-      "bytes": 40327,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001575-0000-6ac407cf6fc715f5.parquet",
-      "sha256": "6ac407cf6fc715f5bb26ef9fd2e9f40e50d280abf35ae40f48d2925bb1616714",
-      "bytes": 47305,
-      "rows": 6,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OrderIso.image_Icc",
     "mathlib:OrderIso.image_Ico",
@@ -903,5 +880,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Pi.lean\",null,null,\"Set.pi_univ_Ici\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Pi.lean\",null,null,\"Set.pi_univ_Iic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/Pi.lean\",null,null,\"Set.pi_univ_Ioc_update_union\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134278,
+      "path": "data/train/p43/mathlib-001575-0000-de6f61829739c1d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "de6f61829739c1d722328ea5dd787399aa3d3b07fa21cd9823f9ee7f805d193f"
+    },
+    {
+      "bytes": 40327,
+      "path": "data/dev/p43/mathlib-001575-0000-b47b86e985a5d1f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b47b86e985a5d1f8660eea75365ac80649ab5beff1b071d0d5b1f6de34776eea"
+    },
+    {
+      "bytes": 47305,
+      "path": "data/internal_test/p43/mathlib-001575-0000-6ac407cf6fc715f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6ac407cf6fc715f5bb26ef9fd2e9f40e50d280abf35ae40f48d2925bb1616714"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001576.json b/manifests/batches/mathlib/001576.json
index ae945779df2eeb4b84b79933946d90633e2ec077..eaea39fe1c90ceea8f545554b2299f2a8b13064d 100644
--- a/manifests/batches/mathlib/001576.json
+++ b/manifests/batches/mathlib/001576.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001576",
   "batch_fingerprint": "afc1f50c7b5057246e9fecafd42f39aefd951940e6b362718111d112ebede142",
   "evidence": {
@@ -1306,22 +1305,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001576-0000-f412df81125e272d.parquet",
-      "sha256": "f412df81125e272d3e58e3bb5c3b28651dea394a98f8ab738eada651080bd2a1",
-      "bytes": 76541,
-      "rows": 23,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001576-0000-405e5f73dfc89e46.parquet",
-      "sha256": "405e5f73dfc89e4654fb10e1f40d560534e0ae68296724b30d78a7b4300ce5df",
-      "bytes": 48667,
-      "rows": 7,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.IccExtend_range",
     "mathlib:Set.projIcc_eq_left",
@@ -1365,5 +1349,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/SurjOn.lean\",null,null,\"surjOn_Ioc_of_monotone_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/SurjOn.lean\",null,null,\"surjOn_Ioi_of_monotone_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/SurjOn.lean\",null,null,\"surjOn_Ioo_of_monotone_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76541,
+      "path": "data/train/p30/mathlib-001576-0000-f412df81125e272d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f412df81125e272d3e58e3bb5c3b28651dea394a98f8ab738eada651080bd2a1"
+    },
+    {
+      "bytes": 48667,
+      "path": "data/internal_test/p30/mathlib-001576-0000-405e5f73dfc89e46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "405e5f73dfc89e4654fb10e1f40d560534e0ae68296724b30d78a7b4300ce5df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001577.json b/manifests/batches/mathlib/001577.json
index 8f6f859efb44899ddbe093fa5b83f6684a6b2f58..106bf7b23b6ade28a9bea5f9f8aac18917666a6b 100644
--- a/manifests/batches/mathlib/001577.json
+++ b/manifests/batches/mathlib/001577.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001577",
   "batch_fingerprint": "443e8cabf1af37942414155738030049b092fe3860d143de2cfecdcfab711f16",
   "evidence": {
@@ -1379,29 +1378,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001577-0000-429f55f54cc2bc7f.parquet",
-      "sha256": "429f55f54cc2bc7ff504cf990c81d7d24302bcea91fcba21c083028085a9a659",
-      "bytes": 127537,
-      "rows": 54,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001577-0000-d65bb292b788bac8.parquet",
-      "sha256": "d65bb292b788bac832e7d09fddb4a87a2af38256e989a95ca49402584c879179",
-      "bytes": 34184,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001577-0000-a3eeaf3eaebff2c1.parquet",
-      "sha256": "a3eeaf3eaebff2c1216d44196ea503c57ac90c8758eea2af567dc1e08b8439b2",
-      "bytes": 31419,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntitoneOn.mapsTo_uIcc",
     "mathlib:MonotoneOn.mapsTo_uIcc",
@@ -1517,5 +1494,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/WithBotTop.lean\",null,null,\"WithTop.preimage_coe_Ioo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/WithBotTop.lean\",null,null,\"WithTop.preimage_coe_Ioo_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Interval/Set/WithBotTop.lean\",null,null,\"WithTop.range_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127537,
+      "path": "data/train/pa6/mathlib-001577-0000-429f55f54cc2bc7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "429f55f54cc2bc7ff504cf990c81d7d24302bcea91fcba21c083028085a9a659"
+    },
+    {
+      "bytes": 34184,
+      "path": "data/dev/pa6/mathlib-001577-0000-d65bb292b788bac8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d65bb292b788bac832e7d09fddb4a87a2af38256e989a95ca49402584c879179"
+    },
+    {
+      "bytes": 31419,
+      "path": "data/internal_test/pa6/mathlib-001577-0000-a3eeaf3eaebff2c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a3eeaf3eaebff2c1216d44196ea503c57ac90c8758eea2af567dc1e08b8439b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001578.json b/manifests/batches/mathlib/001578.json
index 861638e9f3e1bee6d3b434b7081f2cbc1a86cdc1..27270ebbde61d9b548e0dba1a247080827109528 100644
--- a/manifests/batches/mathlib/001578.json
+++ b/manifests/batches/mathlib/001578.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001578",
   "batch_fingerprint": "8ef8fa23870bf9861f4b0e2ff140c38f21d8af40d161f5238150a036a3cfe348",
   "evidence": {
@@ -1074,29 +1073,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001578-0000-b8a536c2ba842750.parquet",
-      "sha256": "b8a536c2ba8427508919aee694cce5c2c857d039de510e1825356a3a5fcebc66",
-      "bytes": 68076,
-      "rows": 24,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001578-0000-4eef4e8ab1017fe9.parquet",
-      "sha256": "4eef4e8ab1017fe9911013d29e6cbf2adede902262218a67cb95209972322df6",
-      "bytes": 48725,
-      "rows": 6,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001578-0000-73b4a0708ccfee7f.parquet",
-      "sha256": "73b4a0708ccfee7f6a9995faff5a1f9969729e95621d1b760672aa7e9e51ad1f",
-      "bytes": 42272,
-      "rows": 4,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:InfIrred.ne_top",
     "mathlib:InfPrime.infIrred",
@@ -1136,5 +1113,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/IsWellOrderLimitElement.lean\",null,null,\"IsWellOrderLimitElement.wellOrderSucc_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/IsWellOrderLimitElement.lean\",null,null,\"le_of_lt_wellOrderSucc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/IsWellOrderLimitElement.lean\",null,null,\"wellOrderSucc_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68076,
+      "path": "data/train/p75/mathlib-001578-0000-b8a536c2ba842750.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b8a536c2ba8427508919aee694cce5c2c857d039de510e1825356a3a5fcebc66"
+    },
+    {
+      "bytes": 48725,
+      "path": "data/dev/p75/mathlib-001578-0000-4eef4e8ab1017fe9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4eef4e8ab1017fe9911013d29e6cbf2adede902262218a67cb95209972322df6"
+    },
+    {
+      "bytes": 42272,
+      "path": "data/internal_test/p75/mathlib-001578-0000-73b4a0708ccfee7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "73b4a0708ccfee7f6a9995faff5a1f9969729e95621d1b760672aa7e9e51ad1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001579.json b/manifests/batches/mathlib/001579.json
index f12500de821c1a316cb01ee81df4c8ed68799595..10b02f0ef6248c96de2faf62b373528dfd285bcc 100644
--- a/manifests/batches/mathlib/001579.json
+++ b/manifests/batches/mathlib/001579.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001579",
   "batch_fingerprint": "c99c677e2dc14501c4f8621a02158f4cba9718570ae1553109683aa0114e3ae3",
   "evidence": {
@@ -1906,29 +1905,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001579-0000-502412a3548d4087.parquet",
-      "sha256": "502412a3548d4087ad169a7e9280ec49083b113f3e0748872f519dbd6f793e74",
-      "bytes": 89216,
-      "rows": 31,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001579-0000-756698e6322fdef1.parquet",
-      "sha256": "756698e6322fdef168045fb3fdfc45de7db546558e2fbd21c8c2286af9853085",
-      "bytes": 39120,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001579-0000-e86fb05f62b934f6.parquet",
-      "sha256": "e86fb05f62b934f65ff6cdbdd83c2dc57c887f46e5aa47369a05947baa9b1947",
-      "bytes": 37280,
-      "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompositionSeries.Equivalent.length_eq",
     "mathlib:CompositionSeries.Equivalent.symm",
@@ -1968,5 +1945,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/JordanHolder.lean\",null,null,\"CompositionSeries.total\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/JordanHolder.lean\",null,null,\"JordanHolderLattice.isMaximal_of_eq_inf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/JordanHolder.lean\",null,null,\"JordanHolderLattice.second_iso_of_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89216,
+      "path": "data/train/p3e/mathlib-001579-0000-502412a3548d4087.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "502412a3548d4087ad169a7e9280ec49083b113f3e0748872f519dbd6f793e74"
+    },
+    {
+      "bytes": 39120,
+      "path": "data/dev/p3e/mathlib-001579-0000-756698e6322fdef1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "756698e6322fdef168045fb3fdfc45de7db546558e2fbd21c8c2286af9853085"
+    },
+    {
+      "bytes": 37280,
+      "path": "data/internal_test/p3e/mathlib-001579-0000-e86fb05f62b934f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e86fb05f62b934f65ff6cdbdd83c2dc57c887f46e5aa47369a05947baa9b1947"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001580.json b/manifests/batches/mathlib/001580.json
index 523b42ee08a2ba680e6dc24e4f1a44a672b6ed1a..c87b547b8460c6ee6716197baf6c1353b0330cf4 100644
--- a/manifests/batches/mathlib/001580.json
+++ b/manifests/batches/mathlib/001580.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001580",
   "batch_fingerprint": "dc5c128da907388cc8c5ce78a8738d9e843d4ff64c81f3a5d424eb37fbc327b3",
   "evidence": {
@@ -3596,29 +3595,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001580-0000-cbc5795e7c610a80.parquet",
-      "sha256": "cbc5795e7c610a800dae305257b9ffe4bc55041a9cc8b2c44cb0195c80f1e235",
-      "bytes": 124920,
-      "rows": 41,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001580-0000-041c1d24b5abbe75.parquet",
-      "sha256": "041c1d24b5abbe752b5072690a895802073c11b29ec9688887d4ed211cf06a01",
-      "bytes": 30534,
-      "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001580-0000-e953e4d8f0e140db.parquet",
-      "sha256": "e953e4d8f0e140db6696e059f128694f8c9c505432ae92618b056c197761a71b",
-      "bytes": 38230,
-      "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntitoneOn.of_map_inf",
     "mathlib:Function.update_inf",
@@ -3692,5 +3669,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Lattice.lean\",null,null,\"sup_sup_distrib_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Lattice.lean\",null,null,\"sup_sup_distrib_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Lattice.lean\",null,null,\"sup_sup_sup_comm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124920,
+      "path": "data/train/p4a/mathlib-001580-0000-cbc5795e7c610a80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "cbc5795e7c610a800dae305257b9ffe4bc55041a9cc8b2c44cb0195c80f1e235"
+    },
+    {
+      "bytes": 30534,
+      "path": "data/dev/p4a/mathlib-001580-0000-041c1d24b5abbe75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "041c1d24b5abbe752b5072690a895802073c11b29ec9688887d4ed211cf06a01"
+    },
+    {
+      "bytes": 38230,
+      "path": "data/internal_test/p4a/mathlib-001580-0000-e953e4d8f0e140db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e953e4d8f0e140db6696e059f128694f8c9c505432ae92618b056c197761a71b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001581.json b/manifests/batches/mathlib/001581.json
index 7df88e9d4070775eec6f9b1fd7d06762af219f8f..107ddca2c5ab3c596e9453c01ce69029a60d1aa8 100644
--- a/manifests/batches/mathlib/001581.json
+++ b/manifests/batches/mathlib/001581.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001581",
   "batch_fingerprint": "44553a430cf674aed0dc15e89f5f7aa244da3a1695dcabbc5e26febf8ee18fcd",
   "evidence": {
@@ -4337,29 +4336,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001581-0000-48c0142f87534e22.parquet",
-      "sha256": "48c0142f87534e225d1f7cc4bd9d98ec1182509c57fb907789089fbd8598f7e7",
-      "bytes": 354848,
-      "rows": 105,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001581-0000-a9f02d66377f8dc0.parquet",
-      "sha256": "a9f02d66377f8dc0e59a90342c6f12f483716ac6c2e1c59e7fd917063827418c",
-      "bytes": 67268,
-      "rows": 9,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001581-0000-1f93ededc5021dee.parquet",
-      "sha256": "1f93ededc5021deeb51788ac7ad5f3cfe6eb4a0d954dfff3d8e0c0cd4ba8bd5e",
-      "bytes": 58560,
-      "rows": 9,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BddAbove.isBoundedUnder",
     "mathlib:Filter.HasBasis.blimsup_eq_iInf_iSup",
@@ -4499,5 +4476,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/LiminfLimsup.lean\",null,null,\"Monotone.isBoundedUnder_le_comp_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/LiminfLimsup.lean\",null,null,\"OrderIso.isBoundedUnder_le_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/LiminfLimsup.lean\",null,null,\"OrderIso.limsup_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354848,
+      "path": "data/train/p49/mathlib-001581-0000-48c0142f87534e22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "48c0142f87534e225d1f7cc4bd9d98ec1182509c57fb907789089fbd8598f7e7"
+    },
+    {
+      "bytes": 67268,
+      "path": "data/dev/p49/mathlib-001581-0000-a9f02d66377f8dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a9f02d66377f8dc0e59a90342c6f12f483716ac6c2e1c59e7fd917063827418c"
+    },
+    {
+      "bytes": 58560,
+      "path": "data/internal_test/p49/mathlib-001581-0000-1f93ededc5021dee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1f93ededc5021deeb51788ac7ad5f3cfe6eb4a0d954dfff3d8e0c0cd4ba8bd5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001582.json b/manifests/batches/mathlib/001582.json
index 5cdf0a1dcdd6ad50a8f5f110eb03f5aaa82c0fae..8665f0660cedc2fdadb3034e88f23a361dc29d0f 100644
--- a/manifests/batches/mathlib/001582.json
+++ b/manifests/batches/mathlib/001582.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001582",
   "batch_fingerprint": "aeb159eb881dfde7674dba8529ab400379861edd6878eab9dae7a04faae8482e",
   "evidence": {
@@ -2491,15 +2490,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001582-0000-c4e8b25ab7aec100.parquet",
-      "sha256": "c4e8b25ab7aec100c265b47d154c35e1ef4ba272a02d9c1a0de15360179dd11d",
-      "bytes": 53711,
-      "rows": 11,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antitone.map_max",
     "mathlib:Monotone.map_max",
@@ -2523,5 +2514,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/MinMax.lean\",null,null,\"min_choice\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/MinMax.lean\",null,null,\"min_lt_min_left_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/MinMax.lean\",null,null,\"min_lt_min_right_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53711,
+      "path": "data/train/pa3/mathlib-001582-0000-c4e8b25ab7aec100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c4e8b25ab7aec100c265b47d154c35e1ef4ba272a02d9c1a0de15360179dd11d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001583.json b/manifests/batches/mathlib/001583.json
index 9e008fbc5b2520620b8a9415013bd1d6aef99ac0..804337403ce71b1c3156caafbfbc1d4996208073 100644
--- a/manifests/batches/mathlib/001583.json
+++ b/manifests/batches/mathlib/001583.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001583",
   "batch_fingerprint": "dd6ac3d36ba6bef4a3e10ac45a9357ffbfe4c46c33f58d63c713bdc36701a6b5",
   "evidence": {
@@ -1842,29 +1841,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001583-0000-97d4ff14979bbda2.parquet",
-      "sha256": "97d4ff14979bbda2e30a2c38cdf05f141885e8dd1003472a75f11d8e70f8b21e",
-      "bytes": 258334,
-      "rows": 77,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001583-0000-9b520d7016c16ef6.parquet",
-      "sha256": "9b520d7016c16ef6e4336c6074822ad2d86e79d8bf00b361108a2499323facaf",
-      "bytes": 45079,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001583-0000-e8a4c8d3d59f0cd2.parquet",
-      "sha256": "e8a4c8d3d59f0cd25ec52669d4e1f11d2512016fc1b2d3ff831c34d5104d204f",
-      "bytes": 46321,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Disjoint.disjoint_sup_left_of_disjoint_sup_right",
     "mathlib:Disjoint.disjoint_sup_right_of_disjoint_sup_left",
@@ -1946,5 +1923,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ModularLattice.lean\",null,null,\"inf_covBy_of_covBy_sup_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ModularLattice.lean\",null,null,\"inf_sup_assoc_of_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/ModularLattice.lean\",null,null,\"isModularLattice_iff_inf_sup_inf_assoc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258334,
+      "path": "data/train/pfc/mathlib-001583-0000-97d4ff14979bbda2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "97d4ff14979bbda2e30a2c38cdf05f141885e8dd1003472a75f11d8e70f8b21e"
+    },
+    {
+      "bytes": 45079,
+      "path": "data/dev/pfc/mathlib-001583-0000-9b520d7016c16ef6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9b520d7016c16ef6e4336c6074822ad2d86e79d8bf00b361108a2499323facaf"
+    },
+    {
+      "bytes": 46321,
+      "path": "data/internal_test/pfc/mathlib-001583-0000-e8a4c8d3d59f0cd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e8a4c8d3d59f0cd25ec52669d4e1f11d2512016fc1b2d3ff831c34d5104d204f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001584.json b/manifests/batches/mathlib/001584.json
index 548484a482f0b8f74a03d3b99538d46ba8c483b9..9b035fbcb9e10808fba968c3405b63b1af75d4a5 100644
--- a/manifests/batches/mathlib/001584.json
+++ b/manifests/batches/mathlib/001584.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001584",
   "batch_fingerprint": "a1670717329df1af0f3ef68e7f526f409959a9817ab063e99b09d178266858d0",
   "evidence": {
@@ -4239,22 +4238,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001584-0000-dafd051e3f84215f.parquet",
-      "sha256": "dafd051e3f84215f1c0f01b4fae8bb423b166aecb00abfd269cc076071d397c7",
-      "bytes": 80032,
-      "rows": 23,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001584-0000-3697e2be61bb3cd3.parquet",
-      "sha256": "3697e2be61bb3cd3cea20213be1ed0efcc621fa8c9ff8d0169b6ccfe58c37dc0",
-      "bytes": 47653,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antitone.ne_of_lt_of_lt_int",
     "mathlib:Antitone.ne_of_lt_of_lt_nat",
@@ -4290,5 +4274,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Basic.lean\",null,null,\"strictAntiOn_dual_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Basic.lean\",null,null,\"strictAnti_dual_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Basic.lean\",null,null,\"strictMono_dual_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80032,
+      "path": "data/train/p7c/mathlib-001584-0000-dafd051e3f84215f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "dafd051e3f84215f1c0f01b4fae8bb423b166aecb00abfd269cc076071d397c7"
+    },
+    {
+      "bytes": 47653,
+      "path": "data/internal_test/p7c/mathlib-001584-0000-3697e2be61bb3cd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3697e2be61bb3cd3cea20213be1ed0efcc621fa8c9ff8d0169b6ccfe58c37dc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001585.json b/manifests/batches/mathlib/001585.json
index 6efb2453557d311c662bbd48af2cc31dc6a30278..37a9296de4270028c9ad2056f7ee409ec47e855c 100644
--- a/manifests/batches/mathlib/001585.json
+++ b/manifests/batches/mathlib/001585.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001585",
   "batch_fingerprint": "1ded036911071c54801edbfafd840a0c9fdc0737e784f9a405d124e83722e4c1",
   "evidence": {
@@ -1712,15 +1711,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001585-0000-280936319db898bd.parquet",
-      "sha256": "280936319db898bd40b6e6c0d40e41aef34e3b9926b98bd2e574c8e5d97a3d6a",
-      "bytes": 68003,
-      "rows": 6,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:monotone_of_odd_of_monotoneOn_nonneg",
     "mathlib:strictMono_of_odd_strictMonoOn_nonneg"
@@ -1728,5 +1719,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Odd.lean\",null,null,\"monotone_of_odd_of_monotoneOn_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Odd.lean\",null,null,\"strictMono_of_odd_strictMonoOn_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68003,
+      "path": "data/train/p50/mathlib-001585-0000-280936319db898bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "280936319db898bd40b6e6c0d40e41aef34e3b9926b98bd2e574c8e5d97a3d6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001586.json b/manifests/batches/mathlib/001586.json
index aebfbdd5e533555cb0cf5ef660bc594cf74094be..6dab77f4ea8ac643a25f4638a197f4f46f329f1e 100644
--- a/manifests/batches/mathlib/001586.json
+++ b/manifests/batches/mathlib/001586.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001586",
   "batch_fingerprint": "0ae58b625946cf744ff422c51ae5cea2bdf4bf8d046dc17a126c74038ef7b54a",
   "evidence": {
@@ -552,28 +551,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:MonotoneOn.Iic_union_Ici",
+    "mathlib:StrictMonoOn.Iic_union_Ici"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Union.lean\",null,null,\"MonotoneOn.Iic_union_Ici\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Union.lean\",null,null,\"StrictMonoOn.Iic_union_Ici\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001586-0000-fe98d4982d42b1ce.parquet",
-      "sha256": "fe98d4982d42b1ce2170b25a23b446f5919fac466f80ced0ca1a6f959a68fe9a",
       "bytes": 49012,
+      "path": "data/train/p17/mathlib-001586-0000-fe98d4982d42b1ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
+      "sha256": "fe98d4982d42b1ce2170b25a23b446f5919fac466f80ced0ca1a6f959a68fe9a"
     },
     {
-      "path": "data/internal_test/mathlib-001586-0000-b9d5b140d36633c7.parquet",
-      "sha256": "b9d5b140d36633c757d3f7e14f6c7415a37ec1262a129d9ff9c087c1840b70e6",
       "bytes": 49264,
+      "path": "data/internal_test/p17/mathlib-001586-0000-b9d5b140d36633c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
+      "sha256": "b9d5b140d36633c757d3f7e14f6c7415a37ec1262a129d9ff9c087c1840b70e6"
     }
-  ],
-  "proof_ids": [
-    "mathlib:MonotoneOn.Iic_union_Ici",
-    "mathlib:StrictMonoOn.Iic_union_Ici"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Union.lean\",null,null,\"MonotoneOn.Iic_union_Ici\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Monotone/Union.lean\",null,null,\"StrictMonoOn.Iic_union_Ici\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001587.json b/manifests/batches/mathlib/001587.json
index ed10fa7e50d243aff4fc3950588355156b863d90..20bcec2fb652fc1eec7772fc9ca1179376c88403 100644
--- a/manifests/batches/mathlib/001587.json
+++ b/manifests/batches/mathlib/001587.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001587",
   "batch_fingerprint": "bcb58ee629b0e62bf40444ac2f84ff5848075fd1b95a010e81d7c4ceb3cc4e44",
   "evidence": {
@@ -2421,29 +2420,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001587-0000-0d0e6ba9d58361f4.parquet",
-      "sha256": "0d0e6ba9d58361f41bd84341c6c7a7db45e173962ee4c4e3360e9b6ed8a3f1ef",
-      "bytes": 187068,
-      "rows": 55,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001587-0000-38075c619b58d0da.parquet",
-      "sha256": "38075c619b58d0da9556609f9d25f2737298b9e9c8f6537a13e8889540892b70",
-      "bytes": 43534,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001587-0000-a750120c3a04060a.parquet",
-      "sha256": "a750120c3a04060a50b5567f52284ea8f047cc1df5f018532eb14c61ac0a6cda",
-      "bytes": 69057,
-      "rows": 12,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompleteLattice.bot_continuous",
     "mathlib:CompleteLattice.inf_continuous",
@@ -2509,5 +2486,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/OrdContinuous.lean\",null,null,\"LeftOrdContinuous.map_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/OrdContinuous.lean\",null,null,\"LeftOrdContinuous.mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/OrdContinuous.lean\",null,null,\"RightOrdContinuous.id\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187068,
+      "path": "data/train/pf1/mathlib-001587-0000-0d0e6ba9d58361f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "0d0e6ba9d58361f41bd84341c6c7a7db45e173962ee4c4e3360e9b6ed8a3f1ef"
+    },
+    {
+      "bytes": 43534,
+      "path": "data/dev/pf1/mathlib-001587-0000-38075c619b58d0da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "38075c619b58d0da9556609f9d25f2737298b9e9c8f6537a13e8889540892b70"
+    },
+    {
+      "bytes": 69057,
+      "path": "data/internal_test/pf1/mathlib-001587-0000-a750120c3a04060a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a750120c3a04060a50b5567f52284ea8f047cc1df5f018532eb14c61ac0a6cda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001588.json b/manifests/batches/mathlib/001588.json
index e2354f78e980b835b786f9cb3178c15dcd316cbe..06c8f132f321ec3f265b237ddb2a3081c62854ca 100644
--- a/manifests/batches/mathlib/001588.json
+++ b/manifests/batches/mathlib/001588.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001588",
   "batch_fingerprint": "1799cf11724a4e9e7c32e9dadffc629179a4cf918dc2f99545c9c42320b71130",
   "evidence": {
@@ -1206,22 +1205,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001588-0000-a62245f0a449e313.parquet",
-      "sha256": "a62245f0a449e31393f798cacacf309630081ab19325c9736af3d11161f910df",
-      "bytes": 49840,
-      "rows": 8,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001588-0000-5449e44df300ebd4.parquet",
-      "sha256": "5449e44df300ebd4737228b12828b2a55fa991677c58c3b894e0529d11e1d26b",
-      "bytes": 41672,
-      "rows": 4,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Nat.Subtype.orderIsoOfNat_apply",
     "mathlib:Order.PFilter.principal_le_principal_iff",
@@ -1237,5 +1221,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/OrderIsoNat.lean\",null,null,\"WellFounded.monotone_chain_condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PFilter.lean\",null,null,\"Order.PFilter.principal_le_principal_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PFilter.lean\",null,null,\"Order.PFilter.sInf_gc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49840,
+      "path": "data/train/p7b/mathlib-001588-0000-a62245f0a449e313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a62245f0a449e31393f798cacacf309630081ab19325c9736af3d11161f910df"
+    },
+    {
+      "bytes": 41672,
+      "path": "data/dev/p7b/mathlib-001588-0000-5449e44df300ebd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5449e44df300ebd4737228b12828b2a55fa991677c58c3b894e0529d11e1d26b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001589.json b/manifests/batches/mathlib/001589.json
index e0d01ddb4823135ca4cfef2107d236605a899532..e61ead248d8dbab8f1df86fa810f91af32f290b5 100644
--- a/manifests/batches/mathlib/001589.json
+++ b/manifests/batches/mathlib/001589.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001589",
   "batch_fingerprint": "ae1523098cd13322950032dc2704f1251db06afddb0112d2a164806a3fc12b22",
   "evidence": {
@@ -1052,22 +1051,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001589-0000-04a2c43976e87ac4.parquet",
-      "sha256": "04a2c43976e87ac4e86c89785ade55954a995c081cee73212b7c0b317b45137e",
-      "bytes": 80633,
-      "rows": 22,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001589-0000-5a37037a113c37ad.parquet",
-      "sha256": "5a37037a113c37addcec50f43fd46f9d4f00d807c4a075eacf0c2c51a6d9e41e",
-      "bytes": 40471,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finpartition.IsEquipartition.average_le_card_part",
     "mathlib:Finpartition.IsEquipartition.card_part_le_average_add_one",
@@ -1101,5 +1085,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Partition/Equipartition.lean\",null,null,\"Finpartition.bot_isEquipartition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Partition/Equipartition.lean\",null,null,\"Finpartition.indiscrete_isEquipartition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Partition/Equipartition.lean\",null,null,\"Finpartition.isEquipartition_iff_card_parts_eq_average\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80633,
+      "path": "data/train/p69/mathlib-001589-0000-04a2c43976e87ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "04a2c43976e87ac4e86c89785ade55954a995c081cee73212b7c0b317b45137e"
+    },
+    {
+      "bytes": 40471,
+      "path": "data/dev/p69/mathlib-001589-0000-5a37037a113c37ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5a37037a113c37addcec50f43fd46f9d4f00d807c4a075eacf0c2c51a6d9e41e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001590.json b/manifests/batches/mathlib/001590.json
index 58263d07000aa647c8aa6af2bcf0b5faa55c7974..91867af705e85f894552eaad00bce3eb894bc998 100644
--- a/manifests/batches/mathlib/001590.json
+++ b/manifests/batches/mathlib/001590.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001590",
   "batch_fingerprint": "c14b836250df97728a6a061d01ab84c9aba2dc50654a941895b874297b14355a",
   "evidence": {
@@ -1139,22 +1138,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001590-0000-6cfdf98b731d74b4.parquet",
-      "sha256": "6cfdf98b731d74b41568de7e14d4e68c8d6d052486ed8b551f8248e6d4257a10",
-      "bytes": 195365,
-      "rows": 62,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001590-0000-e2bbe9ab28cf5372.parquet",
-      "sha256": "e2bbe9ab28cf53723461a1945e938e64e6aa024e94550e56378c43788eafacd9",
-      "bytes": 48884,
-      "rows": 7,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finpartition.atomise_empty",
     "mathlib:Finpartition.biUnion_filter_atomise",
@@ -1206,5 +1190,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PiLex.lean\",null,null,\"Pi.toLex_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PiLex.lean\",null,null,\"Pi.toLex_strictMono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PiLex.lean\",null,null,\"Pi.toLex_update_le_self_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195365,
+      "path": "data/train/p53/mathlib-001590-0000-6cfdf98b731d74b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "6cfdf98b731d74b41568de7e14d4e68c8d6d052486ed8b551f8248e6d4257a10"
+    },
+    {
+      "bytes": 48884,
+      "path": "data/internal_test/p53/mathlib-001590-0000-e2bbe9ab28cf5372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e2bbe9ab28cf53723461a1945e938e64e6aa024e94550e56378c43788eafacd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001591.json b/manifests/batches/mathlib/001591.json
index e38031b0e2fb7d07b9468e6cc8820d712961944a..84091f275b86f7241fe85486324152de3a5b77b4 100644
--- a/manifests/batches/mathlib/001591.json
+++ b/manifests/batches/mathlib/001591.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001591",
   "batch_fingerprint": "8396d7e0252235295040edbb9de9ad2106a7250f806bb2c9e7375ddf746411ed",
   "evidence": {
@@ -817,15 +816,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001591-0000-d2df7ece232a27e0.parquet",
-      "sha256": "d2df7ece232a27e01b92006b54d2298e6c5610afd3bf364adbb9f98dc15c5fa7",
-      "bytes": 64895,
-      "rows": 17,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Order.Ideal.IsPrime.mem_or_compl_mem",
     "mathlib:Order.Ideal.IsPrime.mem_or_mem",
@@ -839,5 +830,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PrimeIdeal.lean\",null,null,\"Order.Ideal.PrimePair.F_isPrime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PrimeIdeal.lean\",null,null,\"Order.Ideal.PrimePair.I_isProper\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PrimeIdeal.lean\",null,null,\"Order.Ideal.isPrime_of_mem_or_compl_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64895,
+      "path": "data/train/paa/mathlib-001591-0000-d2df7ece232a27e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d2df7ece232a27e01b92006b54d2298e6c5610afd3bf364adbb9f98dc15c5fa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001592.json b/manifests/batches/mathlib/001592.json
index 29bf3e480f6b040bcb5e2cb430eadb0be5f88d04..d01bd13cde158e6b0a7950c3b59059ee6b3114a3 100644
--- a/manifests/batches/mathlib/001592.json
+++ b/manifests/batches/mathlib/001592.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001592",
   "batch_fingerprint": "0c77a3f0324302583438c5bbf23d831ee76a683409c91af44273e737225b56b6",
   "evidence": {
@@ -429,28 +428,29 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Pi.isCompl_iff",
+    "mathlib:Prop.isCompl_iff"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PropInstances.lean\",null,null,\"Pi.isCompl_iff\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PropInstances.lean\",null,null,\"Prop.isCompl_iff\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001592-0000-f0f1a593d9d5dfc3.parquet",
-      "sha256": "f0f1a593d9d5dfc379828c4241ab3778ffb89f58fefd3eb0e5e137ba16e168d1",
       "bytes": 56411,
+      "path": "data/train/pfb/mathlib-001592-0000-f0f1a593d9d5dfc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
+      "sha256": "f0f1a593d9d5dfc379828c4241ab3778ffb89f58fefd3eb0e5e137ba16e168d1"
     },
     {
-      "path": "data/internal_test/mathlib-001592-0000-278f3d15ac43752e.parquet",
-      "sha256": "278f3d15ac43752e15d90203fbe990837d43ecc185d953ddc9ba15b30e6057d5",
       "bytes": 41743,
+      "path": "data/internal_test/pfb/mathlib-001592-0000-278f3d15ac43752e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
+      "sha256": "278f3d15ac43752e15d90203fbe990837d43ecc185d953ddc9ba15b30e6057d5"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Pi.isCompl_iff",
-    "mathlib:Prop.isCompl_iff"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PropInstances.lean\",null,null,\"Pi.isCompl_iff\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/PropInstances.lean\",null,null,\"Prop.isCompl_iff\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001593.json b/manifests/batches/mathlib/001593.json
index d5ac2328c28c6504b8cc93636bf431b0b670aae4..bca19da9e2e39ee5d706b021f22d160d7f05712b 100644
--- a/manifests/batches/mathlib/001593.json
+++ b/manifests/batches/mathlib/001593.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001593",
   "batch_fingerprint": "67e36542ee22df05dcb0bf095db30cf73aacdf724a26308d64f6d3ae248e24a7",
   "evidence": {
@@ -3405,29 +3404,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001593-0000-59b3cf6d266f349b.parquet",
-      "sha256": "59b3cf6d266f349b78af1af279d08302f348dfc52706e4a5e9d61234bf911fe4",
-      "bytes": 84015,
-      "rows": 28,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001593-0000-85b661a8ff3b5d7e.parquet",
-      "sha256": "85b661a8ff3b5d7e1fa9ae777030dd60cd118f3db271e71281d68eda50359871",
-      "bytes": 63814,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001593-0000-7436be955d1a620b.parquet",
-      "sha256": "7436be955d1a620bf5d8345b2215bcb6a6a5ec15a7ee3e3b5b5920ed0bebdf5a",
-      "bytes": 35063,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Surjective.wellFounded_iff",
     "mathlib:IsOrderConnected.neg_trans",
@@ -3467,5 +3444,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/RelIso/Basic.lean\",null,null,\"RelIso.rel_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/RelIso/Basic.lean\",null,null,\"RelIso.symm_apply_rel\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/RelIso/Basic.lean\",null,null,\"RelIso.toEquiv_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84015,
+      "path": "data/train/pac/mathlib-001593-0000-59b3cf6d266f349b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "59b3cf6d266f349b78af1af279d08302f348dfc52706e4a5e9d61234bf911fe4"
+    },
+    {
+      "bytes": 63814,
+      "path": "data/dev/pac/mathlib-001593-0000-85b661a8ff3b5d7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "85b661a8ff3b5d7e1fa9ae777030dd60cd118f3db271e71281d68eda50359871"
+    },
+    {
+      "bytes": 35063,
+      "path": "data/internal_test/pac/mathlib-001593-0000-7436be955d1a620b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7436be955d1a620bf5d8345b2215bcb6a6a5ec15a7ee3e3b5b5920ed0bebdf5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001594.json b/manifests/batches/mathlib/001594.json
index 38008fc29c6c2c7b1f6ff4b9ceba705ae5b81f23..3fa2d584e5aaf1d3f0afd5122d0260603cfa3227 100644
--- a/manifests/batches/mathlib/001594.json
+++ b/manifests/batches/mathlib/001594.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001594",
   "batch_fingerprint": "62097683311f709dbbe49c35f6f625bd2a9141c9d1356d9b3e1722a5ee6ced91",
   "evidence": {
@@ -283,7 +282,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001595.json b/manifests/batches/mathlib/001595.json
index 36ddff51e6b33abbbfaf3754f5411e1367cdf91c..725f17cdec017f301b65771411f17e8686f8ba89 100644
--- a/manifests/batches/mathlib/001595.json
+++ b/manifests/batches/mathlib/001595.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001595",
   "batch_fingerprint": "7c7a6f8d1cc791d70d99408f8f38edd5c3c45211a9bd90acdfba83583e761e1e",
   "evidence": {
@@ -2209,15 +2208,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001595-0000-236bdcf442bfb0ba.parquet",
-      "sha256": "236bdcf442bfb0bae101ace7466686328151c4542e58ddb016ff51ccc14cb43b",
-      "bytes": 73781,
-      "rows": 7,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Semiconj.symm_adjoint",
     "mathlib:IsOrderRightAdjoint.comp_orderIso"
@@ -2225,5 +2216,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SemiconjSup.lean\",null,null,\"Function.Semiconj.symm_adjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SemiconjSup.lean\",null,null,\"IsOrderRightAdjoint.comp_orderIso\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73781,
+      "path": "data/train/pcf/mathlib-001595-0000-236bdcf442bfb0ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "236bdcf442bfb0bae101ace7466686328151c4542e58ddb016ff51ccc14cb43b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001596.json b/manifests/batches/mathlib/001596.json
index d76ac3df742efb49c1f830234861ccd7cc440035..caba4bdb24df11b3572ef6d2d210715c1b53daf0 100644
--- a/manifests/batches/mathlib/001596.json
+++ b/manifests/batches/mathlib/001596.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001596",
   "batch_fingerprint": "723c8b8d60e6b23b6aeeff40818d6d2b23c14345e5f4660c8ed81e095b0f8720",
   "evidence": {
@@ -1448,29 +1447,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001596-0000-aedb171304238ef5.parquet",
-      "sha256": "aedb171304238ef52db95316d8194d7625dcb2e5ea61a4064ecab5b76882f159",
-      "bytes": 62050,
-      "rows": 8,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001596-0000-86472421fde6fe03.parquet",
-      "sha256": "86472421fde6fe03cfc9608eb8d40da8764b037f1ae52f78e134779ae8d465d2",
-      "bytes": 35264,
-      "rows": 1,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001596-0000-5ec67736d3fedd8d.parquet",
-      "sha256": "5ec67736d3fedd8d3c070189a0252c6bebc40e588d7a05cd971586981137a9f9",
-      "bytes": 43134,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Sublattice.coe_eq_empty",
     "mathlib:Sublattice.coe_eq_univ",
@@ -1490,5 +1467,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Sublattice.lean\",null,null,\"Sublattice.map_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Sublattice.lean\",null,null,\"Sublattice.mem_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Sublattice.lean\",null,null,\"Sublattice.mem_sInf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62050,
+      "path": "data/train/p30/mathlib-001596-0000-aedb171304238ef5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "aedb171304238ef52db95316d8194d7625dcb2e5ea61a4064ecab5b76882f159"
+    },
+    {
+      "bytes": 35264,
+      "path": "data/dev/p30/mathlib-001596-0000-86472421fde6fe03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "86472421fde6fe03cfc9608eb8d40da8764b037f1ae52f78e134779ae8d465d2"
+    },
+    {
+      "bytes": 43134,
+      "path": "data/internal_test/p30/mathlib-001596-0000-5ec67736d3fedd8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5ec67736d3fedd8d3c070189a0252c6bebc40e588d7a05cd971586981137a9f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001597.json b/manifests/batches/mathlib/001597.json
index fadad0c2c50ba3d491f3a49c33550d7a48e0af4a..d7a461eeec4fc4545642887d92b6dc60b879f9c0 100644
--- a/manifests/batches/mathlib/001597.json
+++ b/manifests/batches/mathlib/001597.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001597",
   "batch_fingerprint": "97278c8d8fef2cfaff5352e16f34a19e91363fa0de3554544bb9b31d98c1dfc2",
   "evidence": {
@@ -4212,29 +4211,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001597-0000-d701a4c1918b6dad.parquet",
-      "sha256": "d701a4c1918b6dadb6e995472ca244ed04fde8c44c227424234bbfe14824835b",
-      "bytes": 135911,
-      "rows": 40,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001597-0000-1ac2a98aa9f840a2.parquet",
-      "sha256": "1ac2a98aa9f840a28fa3434d54298118e63c78b70e2d54d9a99de009fa6c41f2",
-      "bytes": 38488,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001597-0000-467dc0f147f27c2f.parquet",
-      "sha256": "467dc0f147f27c2f6771967dd4f23f3f60bc61338602fdc2ab8ddd6eff19a620",
-      "bytes": 45404,
-      "rows": 5,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Order.Icc_pred_left",
     "mathlib:Order.Icc_pred_right_of_not_isMin",
@@ -4314,5 +4291,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/Basic.lean\",null,null,\"exists_succ_iterate_iff_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/CompleteLinearOrder.lean\",null,null,\"csSup_mem_of_not_isSuccLimit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/CompleteLinearOrder.lean\",null,null,\"sSup_mem_of_not_isSuccLimit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135911,
+      "path": "data/train/pfb/mathlib-001597-0000-d701a4c1918b6dad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "d701a4c1918b6dadb6e995472ca244ed04fde8c44c227424234bbfe14824835b"
+    },
+    {
+      "bytes": 38488,
+      "path": "data/dev/pfb/mathlib-001597-0000-1ac2a98aa9f840a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1ac2a98aa9f840a28fa3434d54298118e63c78b70e2d54d9a99de009fa6c41f2"
+    },
+    {
+      "bytes": 45404,
+      "path": "data/internal_test/pfb/mathlib-001597-0000-467dc0f147f27c2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "467dc0f147f27c2f6771967dd4f23f3f60bc61338602fdc2ab8ddd6eff19a620"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001598.json b/manifests/batches/mathlib/001598.json
index 3a8774478b8896edbb005f0cabf992d35df52af1..f740e551c03160a7858e753bea34527fddf02450 100644
--- a/manifests/batches/mathlib/001598.json
+++ b/manifests/batches/mathlib/001598.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001598",
   "batch_fingerprint": "4302492c825e48eb725444268ee1ea478b9559c5a4db3277346b8453478ea058",
   "evidence": {
@@ -1388,29 +1387,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001598-0000-02651e695b83102e.parquet",
-      "sha256": "02651e695b83102e6771526983bc398be728644f5de6bbf61e2725a62417f652",
-      "bytes": 134486,
-      "rows": 35,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001598-0000-88ff017484caf290.parquet",
-      "sha256": "88ff017484caf290f3ca09e65d259567049b108447348858106add2fadcc0cad",
-      "bytes": 32428,
-      "rows": 3,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001598-0000-7d45648465e87b62.parquet",
-      "sha256": "7d45648465e87b6293176d7b64338d6db122031bd61a05a89c36702f6e6df583",
-      "bytes": 43271,
-      "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Order.IsPredLimit.isMin",
     "mathlib:Order.IsPredLimit.pred_ne",
@@ -1456,5 +1433,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/Limit.lean\",null,null,\"Order.not_isSuccLimit_succ_of_not_isMax\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/Limit.lean\",null,null,\"PredOrder.limitRecOn_limit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/Limit.lean\",null,null,\"SuccOrder.limitRecOn_limit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134486,
+      "path": "data/train/pad/mathlib-001598-0000-02651e695b83102e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "02651e695b83102e6771526983bc398be728644f5de6bbf61e2725a62417f652"
+    },
+    {
+      "bytes": 32428,
+      "path": "data/dev/pad/mathlib-001598-0000-88ff017484caf290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88ff017484caf290f3ca09e65d259567049b108447348858106add2fadcc0cad"
+    },
+    {
+      "bytes": 43271,
+      "path": "data/internal_test/pad/mathlib-001598-0000-7d45648465e87b62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7d45648465e87b6293176d7b64338d6db122031bd61a05a89c36702f6e6df583"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001599.json b/manifests/batches/mathlib/001599.json
index d4c6bc666270e8c1c978d0245fa3208991b3ba67..37e3aa3f3178b8acac41ea706f06c4aec94d9388 100644
--- a/manifests/batches/mathlib/001599.json
+++ b/manifests/batches/mathlib/001599.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001599",
   "batch_fingerprint": "36c8f914c725581d3b8bfeefc224877ebb65c4dc14188e98fdd37f92c960681a",
   "evidence": {
@@ -1757,22 +1756,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001599-0000-28f6cc6df8cf2ebb.parquet",
-      "sha256": "28f6cc6df8cf2ebb01e3d0797d037d2f2a9271831dd160df04e05fc24aa1f3fe",
-      "bytes": 63707,
-      "rows": 17,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001599-0000-c6e1670d42ad3d6a.parquet",
-      "sha256": "c6e1670d42ad3d6a8632501516de44e1ba84588d904958d00e14ba39ed7f5b8b",
-      "bytes": 51830,
-      "rows": 7,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearLocallyFiniteOrder.le_of_lt_succFn",
     "mathlib:LinearLocallyFiniteOrder.le_succFn",
@@ -1794,5 +1778,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/LinearLocallyFinite.lean\",null,null,\"toZ_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/LinearLocallyFinite.lean\",null,null,\"toZ_of_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SuccPred/Relation.lean\",null,null,\"reflTransGen_of_succ_of_ge\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63707,
+      "path": "data/train/pb7/mathlib-001599-0000-28f6cc6df8cf2ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "28f6cc6df8cf2ebb01e3d0797d037d2f2a9271831dd160df04e05fc24aa1f3fe"
+    },
+    {
+      "bytes": 51830,
+      "path": "data/dev/pb7/mathlib-001599-0000-c6e1670d42ad3d6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c6e1670d42ad3d6a8632501516de44e1ba84588d904958d00e14ba39ed7f5b8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001600.json b/manifests/batches/mathlib/001600.json
index 608fd697ea692d51a04408382085d6d6431bfc2a..5cbea8c07278923663a036718538d95675192324 100644
--- a/manifests/batches/mathlib/001600.json
+++ b/manifests/batches/mathlib/001600.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001600",
   "batch_fingerprint": "faef2854d64baa15e1e8377801dfff6ee8914a317dea873b301a607a0db838b5",
   "evidence": {
@@ -3379,29 +3378,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001600-0000-04e3bd28d1c622ff.parquet",
-      "sha256": "04e3bd28d1c622ff6fb0e8e3c790dcf6ba1b5b0d30733b1563f2f83f4f425867",
-      "bytes": 228289,
-      "rows": 69,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001600-0000-bcd44be2f6a27fd5.parquet",
-      "sha256": "bcd44be2f6a27fd5da1e58caa25aa825f26e211dddab2ef6cb8429f55799ef56",
-      "bytes": 52602,
-      "rows": 6,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001600-0000-35f892e23ffbfaff.parquet",
-      "sha256": "35f892e23ffbfaff2483c4918e4d121b8cd920929158a237703fff5f91653657",
-      "bytes": 38327,
-      "rows": 2,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompleteLattice.Independent.comp",
     "mathlib:CompleteLattice.Independent.comp'",
@@ -3495,5 +3472,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SupIndep.lean\",null,null,\"Finset.supIndep_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SupIndep.lean\",null,null,\"Finset.supIndep_univ_bool\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SupIndep.lean\",null,null,\"Finset.supIndep_univ_fin_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228289,
+      "path": "data/train/p76/mathlib-001600-0000-04e3bd28d1c622ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "04e3bd28d1c622ff6fb0e8e3c790dcf6ba1b5b0d30733b1563f2f83f4f425867"
+    },
+    {
+      "bytes": 52602,
+      "path": "data/dev/p76/mathlib-001600-0000-bcd44be2f6a27fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bcd44be2f6a27fd5da1e58caa25aa825f26e211dddab2ef6cb8429f55799ef56"
+    },
+    {
+      "bytes": 38327,
+      "path": "data/internal_test/p76/mathlib-001600-0000-35f892e23ffbfaff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "35f892e23ffbfaff2483c4918e4d121b8cd920929158a237703fff5f91653657"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001601.json b/manifests/batches/mathlib/001601.json
index d9457853073c5c601ffed5d6bdd6512946433acd..1b81d69b64a1010a7532760663c861322a7cef04 100644
--- a/manifests/batches/mathlib/001601.json
+++ b/manifests/batches/mathlib/001601.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001601",
   "batch_fingerprint": "618443b83e5a6ad7f2b02bb54ce3be1220a9abccc1ea1a77ef4aed38c79c5b0e",
   "evidence": {
@@ -2515,29 +2514,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001601-0000-065695c29fd8c68c.parquet",
-      "sha256": "065695c29fd8c68c72a4c685bd80e26756952515e42c6aae0d76032084d60529",
-      "bytes": 190115,
-      "rows": 66,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/dev/mathlib-001601-0000-414e079d83f6fb01.parquet",
-      "sha256": "414e079d83f6fb017d70ca274f15d02769d08c3ba13de37d6439b91666e0115e",
-      "bytes": 40944,
-      "rows": 4,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    },
-    {
-      "path": "data/internal_test/mathlib-001601-0000-a785382a9028ce82.parquet",
-      "sha256": "a785382a9028ce82688589511b4a39d0ebb9c12196947177e4bf6d59753cc013",
-      "bytes": 51914,
-      "rows": 14,
-      "revision": "88725e42b87347e1f9308a95c2bcfffda65c6826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bool.symmDiff_eq_xor",
     "mathlib:Codisjoint.bihimp_eq_inf",
@@ -2683,5 +2660,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SymmDiff.lean\",null,null,\"symmDiff_triangle\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SymmDiff.lean\",null,null,\"top_bihimp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/SymmDiff.lean\",null,null,\"top_symmDiff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190115,
+      "path": "data/train/p16/mathlib-001601-0000-065695c29fd8c68c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "065695c29fd8c68c72a4c685bd80e26756952515e42c6aae0d76032084d60529"
+    },
+    {
+      "bytes": 40944,
+      "path": "data/dev/p16/mathlib-001601-0000-414e079d83f6fb01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "414e079d83f6fb017d70ca274f15d02769d08c3ba13de37d6439b91666e0115e"
+    },
+    {
+      "bytes": 51914,
+      "path": "data/internal_test/p16/mathlib-001601-0000-a785382a9028ce82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a785382a9028ce82688589511b4a39d0ebb9c12196947177e4bf6d59753cc013"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001602.json b/manifests/batches/mathlib/001602.json
index b6d17d3981e40a0fd4e5bc779ca14095918ebfd0..26996348a8c1876a88933cdf69ac7b04f7dbbeeb 100644
--- a/manifests/batches/mathlib/001602.json
+++ b/manifests/batches/mathlib/001602.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001602",
   "batch_fingerprint": "4cb6b332e198d673c6ac31b14cf24f5b85193cad03488b5a9ab569035d2adf7d",
   "evidence": {
@@ -5366,29 +5365,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001602-0000-97233a9f63b0bead.parquet",
-      "sha256": "97233a9f63b0beadfaf165a0961b1769a5ad327f285af7bf0b99495a328cfb72",
-      "bytes": 330642,
-      "rows": 119,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001602-0000-24100f3042ba274c.parquet",
-      "sha256": "24100f3042ba274cb2243fabfdf235f72c5fb9206c991cf59cd4532898c572d8",
-      "bytes": 73795,
-      "rows": 14,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001602-0000-f0abd0352a30690c.parquet",
-      "sha256": "f0abd0352a30690c5ba793ecd8d8c259eb9d0541de70be90dd7621d924b29b59",
-      "bytes": 69019,
-      "rows": 18,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLowerSet.disjoint_upperClosure_left",
     "mathlib:IsLowerSet.disjoint_upperClosure_right",
@@ -5606,5 +5583,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/UpperLower/Basic.lean\",null,null,\"upperClosure_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/UpperLower/Basic.lean\",null,null,\"upperClosure_sUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/UpperLower/Basic.lean\",null,null,\"upperClosure_singleton\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330642,
+      "path": "data/train/p4b/mathlib-001602-0000-97233a9f63b0bead.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 119,
+      "sha256": "97233a9f63b0beadfaf165a0961b1769a5ad327f285af7bf0b99495a328cfb72"
+    },
+    {
+      "bytes": 73795,
+      "path": "data/dev/p4b/mathlib-001602-0000-24100f3042ba274c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "24100f3042ba274cb2243fabfdf235f72c5fb9206c991cf59cd4532898c572d8"
+    },
+    {
+      "bytes": 69019,
+      "path": "data/internal_test/p4b/mathlib-001602-0000-f0abd0352a30690c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f0abd0352a30690c5ba793ecd8d8c259eb9d0541de70be90dd7621d924b29b59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001603.json b/manifests/batches/mathlib/001603.json
index dc0a317b838e19302c9f61320f601dde263ea847..d2d764c818207260eb587fe2dc5ff415576b8bc6 100644
--- a/manifests/batches/mathlib/001603.json
+++ b/manifests/batches/mathlib/001603.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001603",
   "batch_fingerprint": "5593e14e0605d51955f84f4c81e5724ab45c743fd21098160ed31acff3ba894b",
   "evidence": {
@@ -172,15 +171,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001603-0000-6f56aa77299c9a86.parquet",
-      "sha256": "6f56aa77299c9a86c409e1ca530381c8a3788b104e6b8e126e0b53b5909fed87",
-      "bytes": 40991,
-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.Finite.lowerClosure",
     "mathlib:Set.Finite.upperClosure"
@@ -188,5 +179,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/UpperLower/LocallyFinite.lean\",null,null,\"Set.Finite.lowerClosure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/UpperLower/LocallyFinite.lean\",null,null,\"Set.Finite.upperClosure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40991,
+      "path": "data/train/p2c/mathlib-001603-0000-6f56aa77299c9a86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f56aa77299c9a86c409e1ca530381c8a3788b104e6b8e126e0b53b5909fed87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001604.json b/manifests/batches/mathlib/001604.json
index 0ca9e19a9a988ead065edd02f6fb374a1b3fb2e1..58feeb3199f7fbd5f0709e83b61011578c216c8a 100644
--- a/manifests/batches/mathlib/001604.json
+++ b/manifests/batches/mathlib/001604.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001604",
   "batch_fingerprint": "d2fa8a48f95cf6ca008b1e6c7568915af3e125fed8b6152d9027f40a1a6e5a2e",
   "evidence": {
@@ -4203,29 +4202,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001604-0000-b3afc8e75a302c4b.parquet",
-      "sha256": "b3afc8e75a302c4b4b03193ccf930c7a1a87e0ff024b2cb0fd396414f8ce506c",
-      "bytes": 170100,
-      "rows": 42,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001604-0000-f1e8411bf7c6a469.parquet",
-      "sha256": "f1e8411bf7c6a469b0ca32902c8960e66b80fd24b2c2ed377f956024889afa83",
-      "bytes": 53808,
-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001604-0000-a29f51c32617034c.parquet",
-      "sha256": "a29f51c32617034c80e7814aac4f6f79943471d061df6ae6edcfb51995de3c51",
-      "bytes": 74389,
-      "rows": 14,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BddBelow.wellFoundedOn_lt",
     "mathlib:Finset.partiallyWellOrderedOn_bUnion",
@@ -4279,5 +4256,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/WellFoundedSet.lean\",null,null,\"Set.wellFoundedOn_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/WellFoundedSet.lean\",null,null,\"Set.wellFoundedOn_insert\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/WellFoundedSet.lean\",null,null,\"Set.wellFoundedOn_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170100,
+      "path": "data/train/pfd/mathlib-001604-0000-b3afc8e75a302c4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b3afc8e75a302c4b4b03193ccf930c7a1a87e0ff024b2cb0fd396414f8ce506c"
+    },
+    {
+      "bytes": 53808,
+      "path": "data/dev/pfd/mathlib-001604-0000-f1e8411bf7c6a469.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f1e8411bf7c6a469b0ca32902c8960e66b80fd24b2c2ed377f956024889afa83"
+    },
+    {
+      "bytes": 74389,
+      "path": "data/internal_test/pfd/mathlib-001604-0000-a29f51c32617034c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a29f51c32617034c80e7814aac4f6f79943471d061df6ae6edcfb51995de3c51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001605.json b/manifests/batches/mathlib/001605.json
index 52787fbeeec731ccf228865b60ded40c208d7b39..cd1bbf51d657c047ca0a8ac1161de36d69364333 100644
--- a/manifests/batches/mathlib/001605.json
+++ b/manifests/batches/mathlib/001605.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001605",
   "batch_fingerprint": "071034ab537be4e623c6085bbf3bcdd3913323a21bfef3e316ed540dd1a91109",
   "evidence": {
@@ -4205,29 +4204,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001605-0000-c3a17fa98f4582fe.parquet",
-      "sha256": "c3a17fa98f4582fe0884628d041eae765304d6309d3759792bd0d198bfde5ee6",
-      "bytes": 74073,
-      "rows": 20,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001605-0000-77ba5883316387ef.parquet",
-      "sha256": "77ba5883316387ef0f2d67bd630b4f70cad983b9b03d82d111b89dbfe63ae258",
-      "bytes": 58751,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001605-0000-38194a802b87b13f.parquet",
-      "sha256": "38194a802b87b13f94e2ea605bce372b87da8ce16e0defa0aadbec8529128c8a",
-      "bytes": 34719,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsMin.withTop",
     "mathlib:WithBot.coe_le_coe",
@@ -4267,5 +4244,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/WithBot.lean\",null,null,\"WithTop.strictMono_map_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Zorn.lean\",null,null,\"exists_maximal_of_chains_bounded\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Order/Zorn.lean\",null,null,\"zorn_preorder\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74073,
+      "path": "data/train/p19/mathlib-001605-0000-c3a17fa98f4582fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c3a17fa98f4582fe0884628d041eae765304d6309d3759792bd0d198bfde5ee6"
+    },
+    {
+      "bytes": 58751,
+      "path": "data/dev/p19/mathlib-001605-0000-77ba5883316387ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "77ba5883316387ef0f2d67bd630b4f70cad983b9b03d82d111b89dbfe63ae258"
+    },
+    {
+      "bytes": 34719,
+      "path": "data/internal_test/p19/mathlib-001605-0000-38194a802b87b13f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "38194a802b87b13f94e2ea605bce372b87da8ce16e0defa0aadbec8529128c8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001606.json b/manifests/batches/mathlib/001606.json
index 7093ef573919022b3ebab9ff3a6a70ce6c393272..e20446240b6c713f1f8189365b10402a18fa05d9 100644
--- a/manifests/batches/mathlib/001606.json
+++ b/manifests/batches/mathlib/001606.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001606",
   "batch_fingerprint": "f16c7c78845aa8fb5a0961df7f0d1c553dc22db2abc5c0303a136c5b7e5c218d",
   "evidence": {
@@ -473,19 +472,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001606-0000-f67fe1754378b295.parquet",
-      "sha256": "f67fe1754378b295d79f27884b6971e5de3693e8adefa33895474e060c91cfc5",
-      "bytes": 67104,
-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.iIndepSet.condexp_indicator_filtrationOfSet_ae_eq"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/BorelCantelli.lean\",null,null,\"ProbabilityTheory.iIndepSet.condexp_indicator_filtrationOfSet_ae_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67104,
+      "path": "data/train/p37/mathlib-001606-0000-f67fe1754378b295.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f67fe1754378b295d79f27884b6971e5de3693e8adefa33895474e060c91cfc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001607.json b/manifests/batches/mathlib/001607.json
index b7ab623c0280d28147de90c1ae18f0059d4995d2..7cd24e8561246d48f28641358b01c08dad8553e8 100644
--- a/manifests/batches/mathlib/001607.json
+++ b/manifests/batches/mathlib/001607.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001607",
   "batch_fingerprint": "22df46fbeed9bc244c85981937ef787849e3ccb6e2ee867744afd6b1572ee58c",
   "evidence": {
@@ -743,29 +742,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001607-0000-a18f45da76642f04.parquet",
-      "sha256": "a18f45da76642f047a68110b495a7c8c3da0a3f6fbc45bbb633e50a95029ea3a",
-      "bytes": 67174,
-      "rows": 18,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001607-0000-7751846d6800cc40.parquet",
-      "sha256": "7751846d6800cc40f45b3e6efffecb449fb50f245bd430ee801927c386fca36d",
-      "bytes": 39823,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001607-0000-a9e7f5405832586c.parquet",
-      "sha256": "a9e7f5405832586c0df709180c493103ea55d18aa190a85bf7be85b0df1a8cb8",
-      "bytes": 42939,
-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.cdf_eq_iff",
     "mathlib:MeasureTheory.Measure.eq_of_cdf",
@@ -797,5 +774,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/CondCount.lean\",null,null,\"ProbabilityTheory.condCount_inter_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/CondCount.lean\",null,null,\"ProbabilityTheory.condCount_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/CondCount.lean\",null,null,\"ProbabilityTheory.finite_of_condCount_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67174,
+      "path": "data/train/p0f/mathlib-001607-0000-a18f45da76642f04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a18f45da76642f047a68110b495a7c8c3da0a3f6fbc45bbb633e50a95029ea3a"
+    },
+    {
+      "bytes": 39823,
+      "path": "data/dev/p0f/mathlib-001607-0000-7751846d6800cc40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7751846d6800cc40f45b3e6efffecb449fb50f245bd430ee801927c386fca36d"
+    },
+    {
+      "bytes": 42939,
+      "path": "data/internal_test/p0f/mathlib-001607-0000-a9e7f5405832586c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a9e7f5405832586c0df709180c493103ea55d18aa190a85bf7be85b0df1a8cb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001608.json b/manifests/batches/mathlib/001608.json
index 05d744ca3efe8d6df900450ad48abdae0928fa74..c5bdfa3f5ba581f8c459a8a951b6485571814334 100644
--- a/manifests/batches/mathlib/001608.json
+++ b/manifests/batches/mathlib/001608.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001608",
   "batch_fingerprint": "b97c19a81766c49dec162d15b73563388839060310c78b40e69fc37975ffb43f",
   "evidence": {
@@ -860,29 +859,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001608-0000-08ec3ff0ae96435c.parquet",
-      "sha256": "08ec3ff0ae96435c5a33e6569fd69d27438a921d4dd922fd995e8e83dfaea359",
-      "bytes": 58691,
-      "rows": 11,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001608-0000-14c72be0b120fc2f.parquet",
-      "sha256": "14c72be0b120fc2fa328e1a15737791b7214433a10656fbf5fd830027203ab57",
-      "bytes": 52380,
-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001608-0000-3510f657ad12d620.parquet",
-      "sha256": "3510f657ad12d6208f073c72dfea26013fd29968172cd30476a460ffef3f78d8",
-      "bytes": 46814,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.cond_add_cond_compl_eq",
     "mathlib:ProbabilityTheory.cond_apply",
@@ -904,5 +881,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ConditionalProbability.lean\",null,null,\"ProbabilityTheory.cond_isProbabilityMeasure_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ConditionalProbability.lean\",null,null,\"ProbabilityTheory.cond_pos_of_inter_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ConditionalProbability.lean\",null,null,\"ProbabilityTheory.inter_pos_of_cond_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58691,
+      "path": "data/train/pd7/mathlib-001608-0000-08ec3ff0ae96435c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "08ec3ff0ae96435c5a33e6569fd69d27438a921d4dd922fd995e8e83dfaea359"
+    },
+    {
+      "bytes": 52380,
+      "path": "data/dev/pd7/mathlib-001608-0000-14c72be0b120fc2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "14c72be0b120fc2fa328e1a15737791b7214433a10656fbf5fd830027203ab57"
+    },
+    {
+      "bytes": 46814,
+      "path": "data/internal_test/pd7/mathlib-001608-0000-3510f657ad12d620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3510f657ad12d6208f073c72dfea26013fd29968172cd30476a460ffef3f78d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001609.json b/manifests/batches/mathlib/001609.json
index 899128a786b329868e0d37db60af169c84152a67..57857892e900c0ba8a83fc41cf8077809a6ce438 100644
--- a/manifests/batches/mathlib/001609.json
+++ b/manifests/batches/mathlib/001609.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001609",
   "batch_fingerprint": "9d178e08b2c291741503186378a67e78733b14aaddd3ffec3f9a0d7b57ee3f25",
   "evidence": {
@@ -1491,29 +1490,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001609-0000-ec8d89cb54270dd6.parquet",
-      "sha256": "ec8d89cb54270dd69de347bae546465c669e8fd5e6947acb95c17bc4f910430c",
-      "bytes": 97268,
-      "rows": 24,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001609-0000-fb1a6b7111825b4f.parquet",
-      "sha256": "fb1a6b7111825b4f88b19a043cf0a3fc882cc34a5cdcf8a36c70f0deace93960",
-      "bytes": 46922,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001609-0000-c7221d98619380d6.parquet",
-      "sha256": "c7221d98619380d649ceca0fb4952203df8ad3bf623c991569cb585b877294e6",
-      "bytes": 54530,
-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.aemeasurable_of_pdf_ne_zero",
     "mathlib:MeasureTheory.hasPDF_iff_of_aemeasurable",
@@ -1551,5 +1528,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Exponential.lean\",null,null,\"ProbabilityTheory.exp_neg_integrableOn_Ioc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Exponential.lean\",null,null,\"ProbabilityTheory.exponentialPDF_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Exponential.lean\",null,null,\"ProbabilityTheory.exponentialPDF_of_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97268,
+      "path": "data/train/p21/mathlib-001609-0000-ec8d89cb54270dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ec8d89cb54270dd69de347bae546465c669e8fd5e6947acb95c17bc4f910430c"
+    },
+    {
+      "bytes": 46922,
+      "path": "data/dev/p21/mathlib-001609-0000-fb1a6b7111825b4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fb1a6b7111825b4f88b19a043cf0a3fc882cc34a5cdcf8a36c70f0deace93960"
+    },
+    {
+      "bytes": 54530,
+      "path": "data/internal_test/p21/mathlib-001609-0000-c7221d98619380d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c7221d98619380d649ceca0fb4952203df8ad3bf623c991569cb585b877294e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001610.json b/manifests/batches/mathlib/001610.json
index b546a5069485b458c29803d3ca294d952244b599..300e1940bf7346a7b682dcf69ebffe42f3986125 100644
--- a/manifests/batches/mathlib/001610.json
+++ b/manifests/batches/mathlib/001610.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001610",
   "batch_fingerprint": "d1bb364343aea8d9fecd17066cde5bf64e31bfdd1a6b72b41f21bc90e4608fcb",
   "evidence": {
@@ -1616,29 +1615,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001610-0000-48f4c41ab0b0732d.parquet",
-      "sha256": "48f4c41ab0b0732d810de10cf3509eb9ba878dd0083eb670d7dfda8d77645ebc",
-      "bytes": 130194,
-      "rows": 34,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001610-0000-3c0d74f90c5570e0.parquet",
-      "sha256": "3c0d74f90c5570e085a89028d2665b86db8b09aaba2ae5a11067ef0a6ed74403",
-      "bytes": 50393,
-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001610-0000-3c41a202b4547ed6.parquet",
-      "sha256": "3c41a202b4547ed64850a6316a0c56e6b240cfb8306029e664a9ac6ae039d05d",
-      "bytes": 57709,
-      "rows": 7,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasurableEmbedding.gaussianReal_comap_apply",
     "mathlib:MeasurableEquiv.gaussianReal_map_symm_apply",
@@ -1688,5 +1665,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Gaussian.lean\",null,null,\"ProbabilityTheory.gaussianReal_map_mul_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Gaussian.lean\",null,null,\"ProbabilityTheory.gaussianReal_mul_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Gaussian.lean\",null,null,\"ProbabilityTheory.integral_gaussianPDFReal_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130194,
+      "path": "data/train/p46/mathlib-001610-0000-48f4c41ab0b0732d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "48f4c41ab0b0732d810de10cf3509eb9ba878dd0083eb670d7dfda8d77645ebc"
+    },
+    {
+      "bytes": 50393,
+      "path": "data/dev/p46/mathlib-001610-0000-3c0d74f90c5570e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3c0d74f90c5570e085a89028d2665b86db8b09aaba2ae5a11067ef0a6ed74403"
+    },
+    {
+      "bytes": 57709,
+      "path": "data/internal_test/p46/mathlib-001610-0000-3c41a202b4547ed6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3c41a202b4547ed64850a6316a0c56e6b240cfb8306029e664a9ac6ae039d05d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001611.json b/manifests/batches/mathlib/001611.json
index 08bced193996a7c430b60a4254adefb18af483eb..7469dcb79854d056cd6005de2ba05ae5f79774a6 100644
--- a/manifests/batches/mathlib/001611.json
+++ b/manifests/batches/mathlib/001611.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001611",
   "batch_fingerprint": "a099babc6e8103ef3667832b6b06b811d148368cd5c83dc2bf555ae01d8a1fe2",
   "evidence": {
@@ -188,22 +187,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001611-0000-56619015dac1cdd3.parquet",
-      "sha256": "56619015dac1cdd3069141702eb493b66f691f6d1e5cc6ef7db36258e3ecd47d",
-      "bytes": 55546,
-      "rows": 16,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001611-0000-2fd454f3e04b2e44.parquet",
-      "sha256": "2fd454f3e04b2e44632a489e28a6fa5de45db8a7d1b0e027cff45d3ac2b058d0",
-      "bytes": 31764,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.geometricPMFRealSum",
     "mathlib:ProbabilityTheory.geometricPMFReal_nonneg",
@@ -221,5 +205,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Poisson.lean\",null,null,\"ProbabilityTheory.measurable_poissonPMFReal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Poisson.lean\",null,null,\"ProbabilityTheory.poissonPMFReal_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Distributions/Poisson.lean\",null,null,\"ProbabilityTheory.poissonPMFReal_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55546,
+      "path": "data/train/pbb/mathlib-001611-0000-56619015dac1cdd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "56619015dac1cdd3069141702eb493b66f691f6d1e5cc6ef7db36258e3ecd47d"
+    },
+    {
+      "bytes": 31764,
+      "path": "data/internal_test/pbb/mathlib-001611-0000-2fd454f3e04b2e44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2fd454f3e04b2e44632a489e28a6fa5de45db8a7d1b0e027cff45d3ac2b058d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001612.json b/manifests/batches/mathlib/001612.json
index ecba0a1e4b117836f0131ded794c2f5838f0f766..4793377d3fb9dd4f0cc3f1110e228ed5a3ea7f5a 100644
--- a/manifests/batches/mathlib/001612.json
+++ b/manifests/batches/mathlib/001612.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001612",
   "batch_fingerprint": "bc9c2de6b42bf68c418dee92f443fbb833fd3c2ebe87740108012640ec81a3e0",
   "evidence": {
@@ -1794,29 +1793,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001612-0000-411d9637fdb61566.parquet",
-      "sha256": "411d9637fdb615664d3c9f89a20798ff56658aaaaa56ec91204c5a49800bb6be",
-      "bytes": 196173,
-      "rows": 54,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001612-0000-1bd600a25905ea65.parquet",
-      "sha256": "1bd600a25905ea65a57d3785e126028dcb57fc83016588cebd5c1f8f340b505f",
-      "bytes": 40150,
-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001612-0000-a3dc20ec93e2aa06.parquet",
-      "sha256": "a3dc20ec93e2aa06da00d354f0623f1e7da4a5e6497a6c6c9cc4be9acc6c4baa",
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-      "rows": 5,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.pdf.IsUniform.absolutelyContinuous",
     "mathlib:MeasureTheory.pdf.IsUniform.cond",
@@ -1882,5 +1859,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 196173,
+      "path": "data/train/p6d/mathlib-001612-0000-411d9637fdb61566.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "411d9637fdb615664d3c9f89a20798ff56658aaaaa56ec91204c5a49800bb6be"
+    },
+    {
+      "bytes": 40150,
+      "path": "data/dev/p6d/mathlib-001612-0000-1bd600a25905ea65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1bd600a25905ea65a57d3785e126028dcb57fc83016588cebd5c1f8f340b505f"
+    },
+    {
+      "bytes": 58016,
+      "path": "data/internal_test/p6d/mathlib-001612-0000-a3dc20ec93e2aa06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a3dc20ec93e2aa06da00d354f0623f1e7da4a5e6497a6c6c9cc4be9acc6c4baa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001613.json b/manifests/batches/mathlib/001613.json
index a96ea7cb141a3ecadbf2942c128290f36115659c..4beab8db2fd804971998776aaeff3379c8165d1c 100644
--- a/manifests/batches/mathlib/001613.json
+++ b/manifests/batches/mathlib/001613.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001613",
   "batch_fingerprint": "a0596292503842f01c9cbb8300f1e592951ef045f7ece23210899f9f178b068c",
   "evidence": {
@@ -3906,29 +3905,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001613-0000-f0606be47b9f0ff7.parquet",
-      "sha256": "f0606be47b9f0ff71b7238b8ea17cda5424acdb1ed99cfcee5569682a3496614",
-      "bytes": 172347,
-      "rows": 35,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001613-0000-8bfda03ee24df7a5.parquet",
-      "sha256": "8bfda03ee24df7a556db7d70080598e95ae7daf4eaffa8b65a47b1b37e8b24b3",
-      "bytes": 56399,
-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001613-0000-97abf1238b0b9c95.parquet",
-      "sha256": "97abf1238b0b9c95237e9c465af52d653cc13fc5ea1e9dfda37749250a419cca",
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-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.IndepFun.ae_eq",
     "mathlib:ProbabilityTheory.IndepFun_iff",
@@ -4002,5 +3979,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Independence/Conditional.lean\",null,null,\"ProbabilityTheory.iCondIndepSet_iff\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 172347,
+      "path": "data/train/p6b/mathlib-001613-0000-f0606be47b9f0ff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f0606be47b9f0ff71b7238b8ea17cda5424acdb1ed99cfcee5569682a3496614"
+    },
+    {
+      "bytes": 56399,
+      "path": "data/dev/p6b/mathlib-001613-0000-8bfda03ee24df7a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "8bfda03ee24df7a556db7d70080598e95ae7daf4eaffa8b65a47b1b37e8b24b3"
+    },
+    {
+      "bytes": 58112,
+      "path": "data/internal_test/p6b/mathlib-001613-0000-97abf1238b0b9c95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "97abf1238b0b9c95237e9c465af52d653cc13fc5ea1e9dfda37749250a419cca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001614.json b/manifests/batches/mathlib/001614.json
index 026a55d1eeca23e1e2e822d9b4f4d0b9794cba11..31bfa01375fff9d33b8c75f2855303d3b64c466b 100644
--- a/manifests/batches/mathlib/001614.json
+++ b/manifests/batches/mathlib/001614.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001614",
   "batch_fingerprint": "dcaa8cf1123e4b9f17e8084f2c97195e856b4c6fabee22040ff1d8f943df180a",
   "evidence": {
@@ -5863,22 +5862,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001614-0000-48ae7242e0b3f7ff.parquet",
-      "sha256": "48ae7242e0b3f7ffb7f3de0259a3395616a4fcfe8482c362891ff131610b6674",
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-      "rows": 39,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001614-0000-e9dc1ce06ac9ffa4.parquet",
-      "sha256": "e9dc1ce06ac9ffa41a8537821ea418c3cb83b898da747b9db1c4f8f13806cc09",
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-      "rows": 7,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.kernel.IndepFun.ae_eq",
     "mathlib:ProbabilityTheory.kernel.IndepSets.bInter",
@@ -5926,5 +5910,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Independence/ZeroOne.lean\",null,null,\"ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Independence/ZeroOne.lean\",null,null,\"ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup_atTop\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205398,
+      "path": "data/train/pd5/mathlib-001614-0000-48ae7242e0b3f7ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "48ae7242e0b3f7ffb7f3de0259a3395616a4fcfe8482c362891ff131610b6674"
+    },
+    {
+      "bytes": 75076,
+      "path": "data/internal_test/pd5/mathlib-001614-0000-e9dc1ce06ac9ffa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e9dc1ce06ac9ffa41a8537821ea418c3cb83b898da747b9db1c4f8f13806cc09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001615.json b/manifests/batches/mathlib/001615.json
index cdb33b7edf1afd9de6aced794dacec06bbab7881..af7c5afe6ad8a90807f1f7b76539a7ab38ccda63 100644
--- a/manifests/batches/mathlib/001615.json
+++ b/manifests/batches/mathlib/001615.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001615",
   "batch_fingerprint": "f8eb86ae7423e9c0dc3ade1f4c4ca5ae5354ae4c3a54054893ca876f09540c2e",
   "evidence": {
@@ -1670,29 +1669,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001615-0000-4c35ad02ac7c646d.parquet",
-      "sha256": "4c35ad02ac7c646de168339ea1205917cd450cf44302d54036a2b307376d6ef7",
-      "bytes": 421965,
-      "rows": 105,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001615-0000-5f0edc4e42c921a2.parquet",
-      "sha256": "5f0edc4e42c921a2ad5079146cc9898da35fe3f4cdc9a5b13ef90e45e182e389",
-      "bytes": 77687,
-      "rows": 12,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001615-0000-07685143e4988114.parquet",
-      "sha256": "07685143e49881143c60952a84b7f8535ec4106713c558e8008d3a58ec198e94",
-      "bytes": 90933,
-      "rows": 17,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.IndepFun.integrable_mul",
     "mathlib:ProbabilityTheory.IndepFun.integral_mul_of_integrable",
@@ -1790,5 +1767,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/Basic.lean\",null,null,\"ProbabilityTheory.kernel.sum_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 421965,
+      "path": "data/train/p5b/mathlib-001615-0000-4c35ad02ac7c646d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 105,
+      "sha256": "4c35ad02ac7c646de168339ea1205917cd450cf44302d54036a2b307376d6ef7"
+    },
+    {
+      "bytes": 77687,
+      "path": "data/dev/p5b/mathlib-001615-0000-5f0edc4e42c921a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5f0edc4e42c921a2ad5079146cc9898da35fe3f4cdc9a5b13ef90e45e182e389"
+    },
+    {
+      "bytes": 90933,
+      "path": "data/internal_test/p5b/mathlib-001615-0000-07685143e4988114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "07685143e49881143c60952a84b7f8535ec4106713c558e8008d3a58ec198e94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001616.json b/manifests/batches/mathlib/001616.json
index 0f7cd613efb9c524e8a75fb66dcd8dbf21856a56..fde75a7ccbb63cdd7ce54dca9d9786174a266e58 100644
--- a/manifests/batches/mathlib/001616.json
+++ b/manifests/batches/mathlib/001616.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001616",
   "batch_fingerprint": "f56072c3ef02c5cbe52d0365b271752d0ea334faa465c030aa0c60d45db49f21",
   "evidence": {
@@ -4236,29 +4235,7 @@
     "validation_rejected_proofs": 15,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001616-0000-12da295078116952.parquet",
-      "sha256": "12da295078116952a46543b36be3164cff448edbe9e1218156ff49b7902b2de7",
-      "bytes": 416834,
-      "rows": 77,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001616-0000-b6e5c5d3dd718518.parquet",
-      "sha256": "b6e5c5d3dd718518a090277722d3c9ad21a30d4b96cc4003f75ae56a8088fc5c",
-      "bytes": 67268,
-      "rows": 5,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001616-0000-ff2939a78b7c3b3d.parquet",
-      "sha256": "ff2939a78b7c3b3d37262eb1f6699979c6b72c9fc8d93348bdb2b09c3aee9239",
-      "bytes": 145979,
-      "rows": 21,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff",
     "mathlib:MeasureTheory.AEStronglyMeasurable.integral_condDistrib_map",
@@ -4374,5 +4351,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/CondDistrib.lean\",null,null,\"ProbabilityTheory.setLIntegral_preimage_condDistrib\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416834,
+      "path": "data/train/pdb/mathlib-001616-0000-12da295078116952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "12da295078116952a46543b36be3164cff448edbe9e1218156ff49b7902b2de7"
+    },
+    {
+      "bytes": 67268,
+      "path": "data/dev/pdb/mathlib-001616-0000-b6e5c5d3dd718518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b6e5c5d3dd718518a090277722d3c9ad21a30d4b96cc4003f75ae56a8088fc5c"
+    },
+    {
+      "bytes": 145979,
+      "path": "data/internal_test/pdb/mathlib-001616-0000-ff2939a78b7c3b3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ff2939a78b7c3b3d37262eb1f6699979c6b72c9fc8d93348bdb2b09c3aee9239"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001617.json b/manifests/batches/mathlib/001617.json
index d5bb8f21efbd7dcd9b6f7a8f41b01a49aff3fb1d..128e12f2b9022f3de6c55fc29814bd8a713089ec 100644
--- a/manifests/batches/mathlib/001617.json
+++ b/manifests/batches/mathlib/001617.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001617",
   "batch_fingerprint": "1251d0f476b8bc8bc3423e8387176a9a6363bd8122ede1f8dbc51e18ec3519b0",
   "evidence": {
@@ -1473,29 +1472,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001617-0000-793cf04f2fda693f.parquet",
-      "sha256": "793cf04f2fda693fc944bb8efca2a70d74d4904ea30f90ab0ebd942668c63d41",
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-      "rows": 34,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
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-      "sha256": "9fe6f4d5f4c2e3745794dd9a84a50608128998501c3da44cfe1b9e7b8da561aa",
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-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-      "rows": 7,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AEStronglyMeasurable.comp_snd_map_prod_id",
     "mathlib:MeasureTheory.AEStronglyMeasurable.integral_condexpKernel",
@@ -1535,5 +1512,28 @@
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+  ],
+  "shards": [
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+      "path": "data/train/p9c/mathlib-001617-0000-793cf04f2fda693f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+    {
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+      "path": "data/dev/p9c/mathlib-001617-0000-9fe6f4d5f4c2e374.parquet",
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+      "sha256": "9fe6f4d5f4c2e3745794dd9a84a50608128998501c3da44cfe1b9e7b8da561aa"
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+      "path": "data/internal_test/p9c/mathlib-001617-0000-f7a3bde886e29c00.parquet",
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+      "sha256": "f7a3bde886e29c0066e422e2fe6973ae248ca1ec82dbaece57500d5b1fd4a56b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001618.json b/manifests/batches/mathlib/001618.json
index bff8d227e904e5963df0f017e2f6350f006ea870..bf4a8604f1401ccaf1987dc3d8f13097bf0cf6f1 100644
--- a/manifests/batches/mathlib/001618.json
+++ b/manifests/batches/mathlib/001618.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001618",
   "batch_fingerprint": "1b0eed11bd6d2579daeb3e6ec0f6e33de3eee973eff1419a60370a235478dda6",
   "evidence": {
@@ -4126,29 +4125,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
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-      "sha256": "ab4379a4c378b6d396acf83bd776f68b40cf2f868dee3639ef8f9e809f86f49c",
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-      "rows": 60,
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-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
-      "path": "data/internal_test/mathlib-001618-0000-2a13cc5f10d91281.parquet",
-      "sha256": "2a13cc5f10d91281bea114f802cf43160a22381a2b3f785aa87e4f5788b909ca",
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-      "rows": 9,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.IicSnd_apply",
     "mathlib:MeasureTheory.Measure.IicSnd_le_fst",
@@ -4220,5 +4197,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/Disintegration/CondCdf.lean\",null,null,\"ProbabilityTheory.monotone_preCDF\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 229920,
+      "path": "data/train/pbc/mathlib-001618-0000-ab4379a4c378b6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "ab4379a4c378b6d396acf83bd776f68b40cf2f868dee3639ef8f9e809f86f49c"
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+    {
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+      "path": "data/dev/pbc/mathlib-001618-0000-9a0ee5b9be751abf.parquet",
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+    },
+    {
+      "bytes": 65293,
+      "path": "data/internal_test/pbc/mathlib-001618-0000-2a13cc5f10d91281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2a13cc5f10d91281bea114f802cf43160a22381a2b3f785aa87e4f5788b909ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001619.json b/manifests/batches/mathlib/001619.json
index b9490215192e5359f4278bfebc45a35f94039d66..fb056e06ac9123d363b3bfb83a43d6af4b3d595c 100644
--- a/manifests/batches/mathlib/001619.json
+++ b/manifests/batches/mathlib/001619.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001619",
   "batch_fingerprint": "8bd56aaacaeab8b77128a84aee422cc355e598e6ecc2ead60b77fefc958c906a",
   "evidence": {
@@ -3891,29 +3890,7 @@
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     "zero_transition_proofs": 0
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-    {
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-      "rows": 78,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-      "sha256": "139976d7c1d3315b5ad685356e595e1f8e89bb2390a18e95c0b698760ded7ad3",
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-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-      "sha256": "b4a27b14a09a9df27614c6fa3820527a3d347c38dcde875c35dffc00cdea0975",
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-      "rows": 11,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AEStronglyMeasurable.integral_condKernel",
     "mathlib:MeasureTheory.AEStronglyMeasurable.integral_kernel_condKernel",
@@ -3997,5 +3974,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 424080,
+      "path": "data/train/p08/mathlib-001619-0000-3d93d3c43955efb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+    {
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+      "path": "data/dev/p08/mathlib-001619-0000-139976d7c1d3315b.parquet",
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+    },
+    {
+      "bytes": 95340,
+      "path": "data/internal_test/p08/mathlib-001619-0000-b4a27b14a09a9df2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b4a27b14a09a9df27614c6fa3820527a3d347c38dcde875c35dffc00cdea0975"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001620.json b/manifests/batches/mathlib/001620.json
index b238fbe6f072dd284b639b37e75ab7b44ddbda5f..6dd62c0eaf2fbaad41898638abf7d57cc47fbcb6 100644
--- a/manifests/batches/mathlib/001620.json
+++ b/manifests/batches/mathlib/001620.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001620",
   "batch_fingerprint": "f78d72432d97f645d51c0a7c591dae7a44e89bdb73cba028ac448015f247f851",
   "evidence": {
@@ -2505,29 +2504,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
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-      "sha256": "4d3425c77fcacef0df0b92808b77a2c85b5f64917c2c1422a960b6c9b52ce350",
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-      "rows": 23,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
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-      "sha256": "26424d45027c2e97e614cc54f12ce69969f616b65a94d8e38d7f974dd2bebf6d",
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-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
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-      "rows": 4,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_Iic",
     "mathlib:ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_univ",
@@ -2557,5 +2534,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 94370,
+      "path": "data/train/p4e/mathlib-001620-0000-4d3425c77fcacef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "4d3425c77fcacef0df0b92808b77a2c85b5f64917c2c1422a960b6c9b52ce350"
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+    {
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+      "path": "data/dev/p4e/mathlib-001620-0000-26424d45027c2e97.parquet",
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+    },
+    {
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+      "path": "data/internal_test/p4e/mathlib-001620-0000-02095cb81eccabc1.parquet",
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+      "sha256": "02095cb81eccabc1c55b70906d863fb7273bbb0342305bef9b69f00c3b616e22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001621.json b/manifests/batches/mathlib/001621.json
index cfe822421b1351c65c356bdef4bf6be83861faba..535ed2a45a18722f503d6565ea94b9358fcf0818 100644
--- a/manifests/batches/mathlib/001621.json
+++ b/manifests/batches/mathlib/001621.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001621",
   "batch_fingerprint": "5d4ac1d28acc342edabfe07f0bf49e6b7404c21266a113c0f7b551d377276807",
   "evidence": {
@@ -949,29 +948,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
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-      "sha256": "cb3086fdc9eb56f9a6701aa00c0ff580a905cf12a23cc1aa8e6152e22a89ee55",
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-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
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-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
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     "mathlib:MeasureTheory.AEStronglyMeasurable.integral_kernel_compProd",
@@ -1001,5 +978,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 137383,
+      "path": "data/train/p82/mathlib-001621-0000-cb3086fdc9eb56f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+    {
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+      "path": "data/dev/p82/mathlib-001621-0000-44a6f169e8af813d.parquet",
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+    },
+    {
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+      "path": "data/internal_test/p82/mathlib-001621-0000-cc6145d8870a880f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cc6145d8870a880f42225da4edc65938f192d2e1ef269d1a998563a410af3025"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001622.json b/manifests/batches/mathlib/001622.json
index 865a3f9c81dbf15cc382780b2b06b92fed3e3bc0..ef5e4b293f9a86599cb3fb5b755b2f1fc5bef66e 100644
--- a/manifests/batches/mathlib/001622.json
+++ b/manifests/batches/mathlib/001622.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001622",
   "batch_fingerprint": "bd70343a0991910eb2dd51cb2973cf38e028f46764c79de85e1f0fd555c1451d",
   "evidence": {
@@ -1444,29 +1443,7 @@
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-      "sha256": "c9c1c49fb68c48ff4253286d86cc5d6623f12bc4ef593b6ed6427041b07185c7",
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-      "rows": 48,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
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-    {
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-      "sha256": "9bfc38f4353f6288daaa78bdd489aadd06c1e48ec40b5b32e2fb1a06b06aa68a",
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-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Measurable.lintegral_kernel_prod_right''",
     "mathlib:Measurable.setLIntegral_kernel",
@@ -1520,5 +1497,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 231649,
+      "path": "data/train/pb3/mathlib-001622-0000-c9c1c49fb68c48ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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+      "sha256": "c9c1c49fb68c48ff4253286d86cc5d6623f12bc4ef593b6ed6427041b07185c7"
+    },
+    {
+      "bytes": 64558,
+      "path": "data/dev/pb3/mathlib-001622-0000-66fafb48d3576301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "66fafb48d3576301390dbe059e465b1160e24adbf15f01213c42eba4525888e2"
+    },
+    {
+      "bytes": 32725,
+      "path": "data/internal_test/pb3/mathlib-001622-0000-9bfc38f4353f6288.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9bfc38f4353f6288daaa78bdd489aadd06c1e48ec40b5b32e2fb1a06b06aa68a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001623.json b/manifests/batches/mathlib/001623.json
index 1c2fadcfa89a919ed08ba1861164c52d09bfabd5..ad4501149fa36834bab1ebfb61db2823f9864c08 100644
--- a/manifests/batches/mathlib/001623.json
+++ b/manifests/batches/mathlib/001623.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001623",
   "batch_fingerprint": "7b00d0808e2f423e86dbfd6b77e77ce2d147c4bf6c4655c7dc1cc04215015bb9",
   "evidence": {
@@ -3337,22 +3336,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001623-0000-3f67ed6006890565.parquet",
-      "sha256": "3f67ed6006890565936a8efb3d85bfbe90c439f9be7361779f135ee04227d5c3",
-      "bytes": 168748,
-      "rows": 33,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001623-0000-c48357bb54a58166.parquet",
-      "sha256": "c48357bb54a581669dbd5ad48bd20c264cd77a7c8d660b43cce99de62e00b9a6",
-      "bytes": 87823,
-      "rows": 11,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ProbabilityTheory.kernel.lintegral_withDensity",
     "mathlib:ProbabilityTheory.kernel.measurableSet_absolutelyContinuous",
@@ -3392,5 +3376,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/WithDensity.lean\",null,null,\"ProbabilityTheory.kernel.withDensity_congr_ae\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/WithDensity.lean\",null,null,\"ProbabilityTheory.kernel.withDensity_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Kernel/WithDensity.lean\",null,null,\"ProbabilityTheory.kernel.withDensity_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168748,
+      "path": "data/train/pbf/mathlib-001623-0000-3f67ed6006890565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3f67ed6006890565936a8efb3d85bfbe90c439f9be7361779f135ee04227d5c3"
+    },
+    {
+      "bytes": 87823,
+      "path": "data/internal_test/pbf/mathlib-001623-0000-c48357bb54a58166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c48357bb54a581669dbd5ad48bd20c264cd77a7c8d660b43cce99de62e00b9a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001624.json b/manifests/batches/mathlib/001624.json
index 9ce00dfc7b59fafa3e18740548c20c4c75a543a1..e159cb567bd857c42438bd24905b3edf4a3242fd 100644
--- a/manifests/batches/mathlib/001624.json
+++ b/manifests/batches/mathlib/001624.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001624",
   "batch_fingerprint": "fa572c48cf770b0553f74626a8614bc7d1ac90ddd61bfd9a3c0b42e470177d8c",
   "evidence": {
@@ -2723,29 +2722,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001624-0000-0c8817957c1cad91.parquet",
-      "sha256": "0c8817957c1cad912596d955ee66b79024951f233ac1498a23e7d19c57dae74e",
-      "bytes": 336192,
-      "rows": 70,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001624-0000-c3c5969acd4c1c72.parquet",
-      "sha256": "c3c5969acd4c1c727ebc3255b82e34886bff0d2be3479527809d542a7f8f913c",
-      "bytes": 70660,
-      "rows": 3,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001624-0000-d1fd9f962bdcb8dc.parquet",
-      "sha256": "d1fd9f962bdcb8dc02c635eac812b0bd969443304e1566d00928d539b2a58d64",
-      "bytes": 97458,
-      "rows": 15,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.BorelCantelli.martingalePart_process_ae_eq",
     "mathlib:MeasureTheory.BorelCantelli.predictablePart_process_ae_eq",
@@ -2813,5 +2790,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/BorelCantelli.lean\",null,null,\"MeasureTheory.Submartingale.stoppedValue_leastGE_snorm_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/BorelCantelli.lean\",null,null,\"MeasureTheory.Submartingale.stoppedValue_leastGE_snorm_le'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/BorelCantelli.lean\",null,null,\"MeasureTheory.stoppedValue_stoppedValue_leastGE\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336192,
+      "path": "data/train/pc6/mathlib-001624-0000-0c8817957c1cad91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "0c8817957c1cad912596d955ee66b79024951f233ac1498a23e7d19c57dae74e"
+    },
+    {
+      "bytes": 70660,
+      "path": "data/dev/pc6/mathlib-001624-0000-c3c5969acd4c1c72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3c5969acd4c1c727ebc3255b82e34886bff0d2be3479527809d542a7f8f913c"
+    },
+    {
+      "bytes": 97458,
+      "path": "data/internal_test/pc6/mathlib-001624-0000-d1fd9f962bdcb8dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d1fd9f962bdcb8dc02c635eac812b0bd969443304e1566d00928d539b2a58d64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001625.json b/manifests/batches/mathlib/001625.json
index 31b71ca0806d33acc0ad4f1a76c2bcd223e37d03..d758849f8032c98d95592e7b28b9f431f759aeff 100644
--- a/manifests/batches/mathlib/001625.json
+++ b/manifests/batches/mathlib/001625.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001625",
   "batch_fingerprint": "d4927161fa7a32a78561e1b746dbc8259ae27125a3db0d8fb9ef6d7f4543578f",
   "evidence": {
@@ -1813,15 +1812,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001625-0000-5413191957b68374.parquet",
-      "sha256": "5413191957b6837484e91e3cdc5b14993c7efa1799a7de3aefec3cd85a9dd91c",
-      "bytes": 123419,
-      "rows": 29,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Submartingale.exists_ae_tendsto_of_bdd",
     "mathlib:MeasureTheory.Submartingale.tendsto_snorm_one_limitProcess",
@@ -1843,5 +1834,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/Convergence.lean\",null,null,\"MeasureTheory.Submartingale.upcrossings_ae_lt_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/Convergence.lean\",null,null,\"MeasureTheory.tendsto_ae_condexp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/Convergence.lean\",null,null,\"MeasureTheory.tendsto_snorm_condexp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123419,
+      "path": "data/train/p51/mathlib-001625-0000-5413191957b68374.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "5413191957b6837484e91e3cdc5b14993c7efa1799a7de3aefec3cd85a9dd91c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001626.json b/manifests/batches/mathlib/001626.json
index b4721ee16770be5d1bf464b6bb66e289f0b024d9..c2b0a4d61f24cdf2dc85c7b9bb1ae333ffca2a38 100644
--- a/manifests/batches/mathlib/001626.json
+++ b/manifests/batches/mathlib/001626.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001626",
   "batch_fingerprint": "571eed0d56c288d20202cea55b5956469fcd252ee9563aa8822a8192e07f9fc4",
   "evidence": {
@@ -1453,15 +1452,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001626-0000-ee4a3e3ad08e63af.parquet",
-      "sha256": "ee4a3e3ad08e63af2984c42aa8e132cdb066d88f9d5c32864b9acc74acf62ff5",
-      "bytes": 82531,
-      "rows": 8,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Martingale.condexp_stopping_time_ae_eq_restrict_eq_const",
     "mathlib:MeasureTheory.Martingale.stoppedValue_ae_eq_restrict_eq"
@@ -1469,5 +1460,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/OptionalSampling.lean\",null,null,\"MeasureTheory.Martingale.condexp_stopping_time_ae_eq_restrict_eq_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Martingale/OptionalSampling.lean\",null,null,\"MeasureTheory.Martingale.stoppedValue_ae_eq_restrict_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82531,
+      "path": "data/train/p6f/mathlib-001626-0000-ee4a3e3ad08e63af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ee4a3e3ad08e63af2984c42aa8e132cdb066d88f9d5c32864b9acc74acf62ff5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001627.json b/manifests/batches/mathlib/001627.json
index 5c393f3f9d63922d4c1af5a571a9cf4f7c98b8b2..2a0f0403c4748d3827b9b4f9340ea4bc35050918 100644
--- a/manifests/batches/mathlib/001627.json
+++ b/manifests/batches/mathlib/001627.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001627",
   "batch_fingerprint": "c18225accaff003b831645a4057bffa3826e4eaccaafe45e3a47ef9f270882df",
   "evidence": {
@@ -4042,29 +4041,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001627-0000-aa07350a87d70544.parquet",
-      "sha256": "aa07350a87d70544105b676bb61a0bc053a3dff45a39445ed1e44d3fde3a3ae6",
-      "bytes": 261000,
-      "rows": 76,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001627-0000-1e7e87b35e34d2c6.parquet",
-      "sha256": "1e7e87b35e34d2c66edda2bb722f93de4dbff524c6083f463487aa0c05742c09",
-      "bytes": 56558,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001627-0000-dbeb8140eb03861e.parquet",
-      "sha256": "dbeb8140eb03861e9d773e39e780dfda5008123d015cca8043c7f639e6dbb2c1",
-      "bytes": 53663,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Adapted.integrable_upcrossingsBefore",
     "mathlib:MeasureTheory.Adapted.upcrossingStrat_adapted",
@@ -4154,5 +4131,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Moments.lean\",null,null,\"ProbabilityTheory.mgf_zero_fun\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Moments.lean\",null,null,\"ProbabilityTheory.mgf_zero_measure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Moments.lean\",null,null,\"ProbabilityTheory.moment_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261000,
+      "path": "data/train/pc0/mathlib-001627-0000-aa07350a87d70544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "aa07350a87d70544105b676bb61a0bc053a3dff45a39445ed1e44d3fde3a3ae6"
+    },
+    {
+      "bytes": 56558,
+      "path": "data/dev/pc0/mathlib-001627-0000-1e7e87b35e34d2c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1e7e87b35e34d2c66edda2bb722f93de4dbff524c6083f463487aa0c05742c09"
+    },
+    {
+      "bytes": 53663,
+      "path": "data/internal_test/pc0/mathlib-001627-0000-dbeb8140eb03861e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dbeb8140eb03861e9d773e39e780dfda5008123d015cca8043c7f639e6dbb2c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001628.json b/manifests/batches/mathlib/001628.json
index 42031844e3d2eb19c30fb80522ccd477e1e5fb1b..b2a35d88c10423a4af5e7356c10276f2cc36a15e 100644
--- a/manifests/batches/mathlib/001628.json
+++ b/manifests/batches/mathlib/001628.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001628",
   "batch_fingerprint": "c82d1080ef72196187608561d1f3c3366a070fc62c34eaf948a7680afb2ee181",
   "evidence": {
@@ -950,22 +949,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001628-0000-45745e390af490c4.parquet",
-      "sha256": "45745e390af490c4b3f1d6f1c7c6870ac2a4f260f4127dd1a39995d4743975bb",
-      "bytes": 83340,
-      "rows": 25,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001628-0000-c0a3216e59cc5d53.parquet",
-      "sha256": "c0a3216e59cc5d53d62f003534ec7e6a62d1f043baf0cf2c48e198081584da7e",
-      "bytes": 44935,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Measure.toPMF_toMeasure",
     "mathlib:PMF.apply_eq_zero_iff",
@@ -1005,5 +989,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Binomial.lean\",null,null,\"PMF.binomial_apply_self\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Binomial.lean\",null,null,\"PMF.binomial_apply_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Binomial.lean\",null,null,\"PMF.binomial_one_eq_bernoulli\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83340,
+      "path": "data/train/p37/mathlib-001628-0000-45745e390af490c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "45745e390af490c4b3f1d6f1c7c6870ac2a4f260f4127dd1a39995d4743975bb"
+    },
+    {
+      "bytes": 44935,
+      "path": "data/internal_test/p37/mathlib-001628-0000-c0a3216e59cc5d53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c0a3216e59cc5d53d62f003534ec7e6a62d1f043baf0cf2c48e198081584da7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001629.json b/manifests/batches/mathlib/001629.json
index dd8c3f3c9d1a3e5e47d03d27ad6e1cc30fb88e34..24710ca877b9b0970d33c6862a49797a41be2339 100644
--- a/manifests/batches/mathlib/001629.json
+++ b/manifests/batches/mathlib/001629.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001629",
   "batch_fingerprint": "817b52295cd8b8a93f63985cf187cfefae289f314b94a3e2bff0e0f6b03093be",
   "evidence": {
@@ -604,22 +603,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001629-0000-42c0d664b897d8fa.parquet",
-      "sha256": "42c0d664b897d8fadadc448039fe31483cc364f4ecb45f97cdb29f9338caf5e0",
-      "bytes": 76495,
-      "rows": 25,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001629-0000-4e4f4c4a44d48d53.parquet",
-      "sha256": "4e4f4c4a44d48d530b4d62cf1c20d657cb99dce406022cad73ad7174bf8dfbd6",
-      "bytes": 44355,
-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PMF.bernoulli_expectation",
     "mathlib:PMF.filter_apply",
@@ -663,5 +647,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Constructions.lean\",null,null,\"PMF.toOuterMeasure_map_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Integrals.lean\",null,null,\"PMF.bernoulli_expectation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/ProbabilityMassFunction/Integrals.lean\",null,null,\"PMF.integral_eq_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76495,
+      "path": "data/train/p21/mathlib-001629-0000-42c0d664b897d8fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "42c0d664b897d8fadadc448039fe31483cc364f4ecb45f97cdb29f9338caf5e0"
+    },
+    {
+      "bytes": 44355,
+      "path": "data/internal_test/p21/mathlib-001629-0000-4e4f4c4a44d48d53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e4f4c4a44d48d530b4d62cf1c20d657cb99dce406022cad73ad7174bf8dfbd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001630.json b/manifests/batches/mathlib/001630.json
index 944c8177a47bfdc41342a20b92092275cec4ea2a..060dc73dfe98c8da4e1651ad9a09f4c0adde960c 100644
--- a/manifests/batches/mathlib/001630.json
+++ b/manifests/batches/mathlib/001630.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001630",
   "batch_fingerprint": "b1856e531c3dd744bff15f803cf0ebb65cf969caf3659c9af986df3a098b69c9",
   "evidence": {
@@ -1043,29 +1042,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001630-0000-690739dce724eb9e.parquet",
-      "sha256": "690739dce724eb9ed444c6a748bf3d42efd1ded585bed48b7f90ce8d12c5f22b",
-      "bytes": 185601,
-      "rows": 43,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001630-0000-a886772d5d059fe8.parquet",
-      "sha256": "a886772d5d059fe8756802f99ad50cf07d1ad3353459867e09a764ea462c7ec1",
-      "bytes": 39236,
-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001630-0000-c5e56d31a2614d84.parquet",
-      "sha256": "c5e56d31a2614d849cfef3d374364a6ba8bb42cc9ec942934b6dead032ff7c1b",
-      "bytes": 37556,
-      "rows": 1,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.ProgMeasurable.adapted",
     "mathlib:MeasureTheory.ProgMeasurable.comp",
@@ -1109,5 +1086,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Adapted.lean\",null,null,\"MeasureTheory.ProgMeasurable.comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Adapted.lean\",null,null,\"MeasureTheory.ProgMeasurable.finset_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Adapted.lean\",null,null,\"MeasureTheory.progMeasurable_of_tendsto'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185601,
+      "path": "data/train/pfe/mathlib-001630-0000-690739dce724eb9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "690739dce724eb9ed444c6a748bf3d42efd1ded585bed48b7f90ce8d12c5f22b"
+    },
+    {
+      "bytes": 39236,
+      "path": "data/dev/pfe/mathlib-001630-0000-a886772d5d059fe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a886772d5d059fe8756802f99ad50cf07d1ad3353459867e09a764ea462c7ec1"
+    },
+    {
+      "bytes": 37556,
+      "path": "data/internal_test/pfe/mathlib-001630-0000-c5e56d31a2614d84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c5e56d31a2614d849cfef3d374364a6ba8bb42cc9ec942934b6dead032ff7c1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001631.json b/manifests/batches/mathlib/001631.json
index 00cfcc6425545e3db9d1dbfbaa04af9f1c02f8e1..a177ee244cfadf1f1205a1a4be6b16fab412453a 100644
--- a/manifests/batches/mathlib/001631.json
+++ b/manifests/batches/mathlib/001631.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001631",
   "batch_fingerprint": "fc7cc9042d7fbac88d856c8a511c73005aa28f724ef067007d3fe875cd77cb9e",
   "evidence": {
@@ -2050,15 +2049,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001631-0000-3bfa0dc9ef2311f2.parquet",
-      "sha256": "3bfa0dc9ef2311f20e9338843f3df1a378576afedd73b7f7a4f2d5eec0fd211f",
-      "bytes": 91647,
-      "rows": 24,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.Filtration.ext",
     "mathlib:MeasureTheory.Filtration.stronglyMeasurable_limitProcess",
@@ -2076,5 +2067,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/HittingTime.lean\",null,null,\"MeasureTheory.hitting_le_of_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/HittingTime.lean\",null,null,\"MeasureTheory.le_hitting_of_exists\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/HittingTime.lean\",null,null,\"MeasureTheory.stoppedValue_hitting_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91647,
+      "path": "data/train/pee/mathlib-001631-0000-3bfa0dc9ef2311f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "3bfa0dc9ef2311f20e9338843f3df1a378576afedd73b7f7a4f2d5eec0fd211f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001632.json b/manifests/batches/mathlib/001632.json
index cf1c8016013f6f6b5f34bb896f6963c3741395c0..1611b8435ea8bea8f77570e1b388c65687ebe771 100644
--- a/manifests/batches/mathlib/001632.json
+++ b/manifests/batches/mathlib/001632.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001632",
   "batch_fingerprint": "50221ab23e24e4d29e2ac3ae40abf5496c8a1f76da8ad306ca48171495a2b08c",
   "evidence": {
@@ -5679,29 +5678,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001632-0000-695788d34e70a80b.parquet",
-      "sha256": "695788d34e70a80b8e68631e0c87e12f49eedb39c23eb8f6b6dffc97b7beab55",
-      "bytes": 197787,
-      "rows": 52,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/dev/mathlib-001632-0000-b1af2250595aef8f.parquet",
-      "sha256": "b1af2250595aef8fefb0a14efdfe23f2a6af5e377b0286ce316519d1b79daf9b",
-      "bytes": 70967,
-      "rows": 9,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001632-0000-dde62b1e462bc8df.parquet",
-      "sha256": "dde62b1e462bc8df9bb4fed183eb4bc7b64c174b9243ac232e2742daee505c1f",
-      "bytes": 84023,
-      "rows": 2,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.IsStoppingTime.add_const",
     "mathlib:MeasureTheory.IsStoppingTime.max",
@@ -5757,5 +5734,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Stopping.lean\",null,null,\"MeasureTheory.stoppedValue_piecewise_const'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Stopping.lean\",null,null,\"MeasureTheory.stoppedValue_sub_eq_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Process/Stopping.lean\",null,null,\"MeasureTheory.stoppedValue_sub_eq_sum'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197787,
+      "path": "data/train/pf8/mathlib-001632-0000-695788d34e70a80b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "695788d34e70a80b8e68631e0c87e12f49eedb39c23eb8f6b6dffc97b7beab55"
+    },
+    {
+      "bytes": 70967,
+      "path": "data/dev/pf8/mathlib-001632-0000-b1af2250595aef8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b1af2250595aef8fefb0a14efdfe23f2a6af5e377b0286ce316519d1b79daf9b"
+    },
+    {
+      "bytes": 84023,
+      "path": "data/internal_test/pf8/mathlib-001632-0000-dde62b1e462bc8df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dde62b1e462bc8df9bb4fed183eb4bc7b64c174b9243ac232e2742daee505c1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001633.json b/manifests/batches/mathlib/001633.json
index c824cab916d52dcb245288c38388810dc09a2a33..2a8d6aefd12ab0fe974eaad29cd955b9e96e1569 100644
--- a/manifests/batches/mathlib/001633.json
+++ b/manifests/batches/mathlib/001633.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001633",
   "batch_fingerprint": "2e1a87f76314012f029330f09da9aa50810e3847a6af2d9767f8a3bdfea1a43d",
   "evidence": {
@@ -5865,22 +5864,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001633-0000-315e04ab1e59f788.parquet",
-      "sha256": "315e04ab1e59f788618406a86ba44bc0ecc37b85a6bb3ec726669ddbafdfc04e",
-      "bytes": 96221,
-      "rows": 29,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    },
-    {
-      "path": "data/internal_test/mathlib-001633-0000-01d4b870677b46ff.parquet",
-      "sha256": "01d4b870677b46ffedd1a6f949389fdbcdf007517567168743b6ab4133f28b07",
-      "bytes": 67477,
-      "rows": 6,
-      "revision": "1404dd0d6fa6d3e8cbe30fdd6134ef420abcce8a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MeasureTheory.AEStronglyMeasurable.integrable_truncation",
     "mathlib:MeasureTheory.AEStronglyMeasurable.truncation",
@@ -5910,5 +5894,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Variance.lean\",null,null,\"ProbabilityTheory.evariance_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Variance.lean\",null,null,\"ProbabilityTheory.variance_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Probability/Variance.lean\",null,null,\"ProbabilityTheory.variance_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96221,
+      "path": "data/train/p29/mathlib-001633-0000-315e04ab1e59f788.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "315e04ab1e59f788618406a86ba44bc0ecc37b85a6bb3ec726669ddbafdfc04e"
+    },
+    {
+      "bytes": 67477,
+      "path": "data/internal_test/p29/mathlib-001633-0000-01d4b870677b46ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "01d4b870677b46ffedd1a6f949389fdbcdf007517567168743b6ab4133f28b07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001634.json b/manifests/batches/mathlib/001634.json
index 528c6534db77cb1d1468d7e439b7387aa7ff5e65..9dfbdea67cd841a8f847989d2045e79482bfbd1b 100644
--- a/manifests/batches/mathlib/001634.json
+++ b/manifests/batches/mathlib/001634.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001634",
   "batch_fingerprint": "cb9562e2173e1be8f3cab9098bac061413f52d574346813e62c56646f1de0125",
   "evidence": {
@@ -206,7 +205,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001635.json b/manifests/batches/mathlib/001635.json
index 90fc3c2bbde58f0d6cad8352504066ec45939a98..7ad81ded818c38a26d18ef00e431ecb3813c0c39 100644
--- a/manifests/batches/mathlib/001635.json
+++ b/manifests/batches/mathlib/001635.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001635",
   "batch_fingerprint": "ce425384c659f2dfe3bb7a14895643b3abd7f92126c8e8162bdd10e27007a65d",
   "evidence": {
@@ -807,7 +806,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001636.json b/manifests/batches/mathlib/001636.json
index a82699a6cb78bfece945c963e36c0cf96a38fca2..3742f7868fd12c652364082475aba800c1936bea 100644
--- a/manifests/batches/mathlib/001636.json
+++ b/manifests/batches/mathlib/001636.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001636",
   "batch_fingerprint": "9c6124f524d2663ab28916e8f78e931a0a74ba1baf65f7af1019bbcf174bda0c",
   "evidence": {
@@ -555,15 +554,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001636-0000-06fd2dd307eed128.parquet",
-      "sha256": "06fd2dd307eed1283c81aa255f4dd0199049f0336c6653d3975bac8260f4f4ea",
-      "bytes": 348940,
-      "rows": 38,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FdRep.average_char_eq_finrank_invariants",
     "mathlib:FdRep.char_conj",
@@ -605,5 +596,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Character.lean\",null,null,\"FdRep.char_orthonormal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Character.lean\",null,null,\"FdRep.char_tensor\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Character.lean\",null,null,\"FdRep.char_tensor'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348940,
+      "path": "data/train/pcb/mathlib-001636-0000-06fd2dd307eed128.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "06fd2dd307eed1283c81aa255f4dd0199049f0336c6653d3975bac8260f4f4ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001637.json b/manifests/batches/mathlib/001637.json
index 1ed1764485267552a43f636635ec58a3020d3e2f..66f72e59f20d099e397d959906f7facb9b64f40b 100644
--- a/manifests/batches/mathlib/001637.json
+++ b/manifests/batches/mathlib/001637.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001637",
   "batch_fingerprint": "8dac583683ce286fef2e63a904128f852732840ba7b12b3245135b9bcb1d281f",
   "evidence": {
@@ -242,15 +241,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001637-0000-3688294358a61160.parquet",
-      "sha256": "3688294358a611608b16bae77e5e55ef0e7ed66e04e30b2a17ec4d87c1a6442c",
-      "bytes": 91140,
-      "rows": 5,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FdRep.Iso.conj_\u03c1",
     "mathlib:FdRep.forget\u2082_\u03c1"
@@ -258,5 +249,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/FdRep.lean\",null,null,\"FdRep.Iso.conj_\u03c1\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/FdRep.lean\",null,null,\"FdRep.forget\u2082_\u03c1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91140,
+      "path": "data/train/pbc/mathlib-001637-0000-3688294358a61160.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3688294358a611608b16bae77e5e55ef0e7ed66e04e30b2a17ec4d87c1a6442c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001638.json b/manifests/batches/mathlib/001638.json
index 980259ef333c0fdd4a8f9c9bc89b041abb85e25b..cadaf0e324a7da881b0f990247dce1dabe4f84ee 100644
--- a/manifests/batches/mathlib/001638.json
+++ b/manifests/batches/mathlib/001638.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001638",
   "batch_fingerprint": "1d58487aa9e48af09b90080d63dde03d51bea3ba3880acb41abed598ad58e3c4",
   "evidence": {
@@ -2290,19 +2289,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/mathlib-001638-0000-88deff13e84780b7.parquet",
-      "sha256": "88deff13e84780b7d760a844337760ded88ac5b9cd66d5ade2baadd8c7bbc2af",
-      "bytes": 50314,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:groupCohomology.Hilbert90.aux_ne_zero"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/GroupCohomology/Hilbert90.lean\",null,null,\"groupCohomology.Hilbert90.aux_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50314,
+      "path": "data/dev/p96/mathlib-001638-0000-88deff13e84780b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "88deff13e84780b7d760a844337760ded88ac5b9cd66d5ade2baadd8c7bbc2af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001639.json b/manifests/batches/mathlib/001639.json
index 5de77d8e4274f24bdea60aa95eb86d9ebbf10414..3c7352d6acde1660105514759211cdba927f496f 100644
--- a/manifests/batches/mathlib/001639.json
+++ b/manifests/batches/mathlib/001639.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001639",
   "batch_fingerprint": "56d51eb33cbcf3971153a8455ac33f6b08402d1b9c9c12425e7d8299aff9efbf",
   "evidence": {
@@ -1682,7 +1681,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001640.json b/manifests/batches/mathlib/001640.json
index 526127365d0026bc7cdf5298d9088d6053b0bf66..0a45f0d4c0ebf298743937bb47f0e2a6cc46882a 100644
--- a/manifests/batches/mathlib/001640.json
+++ b/manifests/batches/mathlib/001640.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001640",
   "batch_fingerprint": "a3f8fb40b9b8749e74f3317c9933fe8e2109a0c8502b9cfb71e64ef54eb91ed1",
   "evidence": {
@@ -1233,22 +1232,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001640-0000-ae26d1527588ec8b.parquet",
-      "sha256": "ae26d1527588ec8b39f95b425a91a24f618cade67cc9bc6c96d93dd650a56321",
-      "bytes": 81293,
-      "rows": 6,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001640-0000-3c488b5f7caeb4cd.parquet",
-      "sha256": "3c488b5f7caeb4cd173c964f7b4bc11ecf340eefe6ded37ef70e21ee39ccefc5",
-      "bytes": 60425,
-      "rows": 1,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LinearMap.conjugate_i",
     "mathlib:LinearMap.equivariantProjection_apply",
@@ -1260,5 +1244,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Maschke.lean\",null,null,\"LinearMap.equivariantProjection_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Maschke.lean\",null,null,\"LinearMap.equivariantProjection_condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RepresentationTheory/Maschke.lean\",null,null,\"MonoidAlgebra.Submodule.exists_isCompl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81293,
+      "path": "data/train/pca/mathlib-001640-0000-ae26d1527588ec8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ae26d1527588ec8b39f95b425a91a24f618cade67cc9bc6c96d93dd650a56321"
+    },
+    {
+      "bytes": 60425,
+      "path": "data/dev/pca/mathlib-001640-0000-3c488b5f7caeb4cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3c488b5f7caeb4cd173c964f7b4bc11ecf340eefe6ded37ef70e21ee39ccefc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001641.json b/manifests/batches/mathlib/001641.json
index 166c37957acd30b7166b2d9be0fd5cc88ac3d833..fe7498538d84571b9e29f94290a0bf864515bfd7 100644
--- a/manifests/batches/mathlib/001641.json
+++ b/manifests/batches/mathlib/001641.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001641",
   "batch_fingerprint": "583eae57b05f3c2bd9b1463d1314ab6f364d576ac831a929a48b67b0bb8e1426",
   "evidence": {
@@ -1917,7 +1916,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001642.json b/manifests/batches/mathlib/001642.json
index cc36c41f4813a549dc6482d10c855cfff85d29d6..007423012cc5ff906403cfa13881535dbb0c91ef 100644
--- a/manifests/batches/mathlib/001642.json
+++ b/manifests/batches/mathlib/001642.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001642",
   "batch_fingerprint": "e60368fa9172b215d5bf1911a25b6e4be9eebc7947e892a12ff604135ccb5f59",
   "evidence": {
@@ -852,29 +851,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001642-0000-ca6c5a7adfa542e6.parquet",
-      "sha256": "ca6c5a7adfa542e60b86bf4f78385b44e36cd2bc129490c9a04c386adbd044f9",
-      "bytes": 357034,
-      "rows": 25,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/dev/mathlib-001642-0000-bd909bd44c6ca89d.parquet",
-      "sha256": "bd909bd44c6ca89d0bd9367a83d4a4a4f1ca665c32553570bc2ab96910de7220",
-      "bytes": 149744,
-      "rows": 6,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/internal_test/mathlib-001642-0000-78988f080eb4db95.parquet",
-      "sha256": "78988f080eb4db9509b4234d747dcdfdccd57bae0a0825c1577e568e3e36a5da",
-      "bytes": 62072,
-      "rows": 2,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AdicCompletion.component_sumInv",
     "mathlib:AdicCompletion.map_comp",
@@ -910,5 +887,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/AdicCompletion/Functoriality.lean\",null,null,\"AdicCompletion.sum_of\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/AdicCompletion/Functoriality.lean\",null,null,\"AdicCompletion.transitionMap_comp_reduceModIdeal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/AdicCompletion/Functoriality.lean\",null,null,\"AdicCompletion.val_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357034,
+      "path": "data/train/pc4/mathlib-001642-0000-ca6c5a7adfa542e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ca6c5a7adfa542e60b86bf4f78385b44e36cd2bc129490c9a04c386adbd044f9"
+    },
+    {
+      "bytes": 149744,
+      "path": "data/dev/pc4/mathlib-001642-0000-bd909bd44c6ca89d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bd909bd44c6ca89d0bd9367a83d4a4a4f1ca665c32553570bc2ab96910de7220"
+    },
+    {
+      "bytes": 62072,
+      "path": "data/internal_test/pc4/mathlib-001642-0000-78988f080eb4db95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78988f080eb4db9509b4234d747dcdfdccd57bae0a0825c1577e568e3e36a5da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001643.json b/manifests/batches/mathlib/001643.json
index d38c7bb73ee9b42d790cf3c3b41136615d1d0d43..ea1c71129a38ce5a35e720dfcffea39fa98bb4bd 100644
--- a/manifests/batches/mathlib/001643.json
+++ b/manifests/batches/mathlib/001643.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001643",
   "batch_fingerprint": "87c56af6e69fa0963bd2eed7651f404aacc49e7f6f0d7a999687dd3bb023bd11",
   "evidence": {
@@ -2048,29 +2047,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001643-0000-618dec459e312396.parquet",
-      "sha256": "618dec459e312396d9b97264d4f4d93e0a550897a310dc15c6ae452d016c6ebe",
-      "bytes": 227650,
-      "rows": 43,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001643-0000-0e941f8d3aef583e.parquet",
-      "sha256": "0e941f8d3aef583e868831f7079da562543e4f10cc297bfd6ccd1ccb387d8686",
-      "bytes": 44690,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001643-0000-ea08a1bb8145690f.parquet",
-      "sha256": "ea08a1bb8145690f1b94e818578e667bdb30ad4b8351bda7b2a83812fd58d46a",
-      "bytes": 78643,
-      "rows": 4,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.map_adjoin_singleton",
     "mathlib:Algebra.adjoin_attach_biUnion",
@@ -2112,5 +2089,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/FG.lean\",null,null,\"Subalgebra.fg_of_fg_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/FG.lean\",null,null,\"Subalgebra.fg_of_fg_toSubmodule\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/FG.lean\",null,null,\"Subalgebra.fg_of_submodule_fg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227650,
+      "path": "data/train/p78/mathlib-001643-0000-618dec459e312396.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "618dec459e312396d9b97264d4f4d93e0a550897a310dc15c6ae452d016c6ebe"
+    },
+    {
+      "bytes": 44690,
+      "path": "data/dev/p78/mathlib-001643-0000-0e941f8d3aef583e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e941f8d3aef583e868831f7079da562543e4f10cc297bfd6ccd1ccb387d8686"
+    },
+    {
+      "bytes": 78643,
+      "path": "data/internal_test/p78/mathlib-001643-0000-ea08a1bb8145690f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ea08a1bb8145690f1b94e818578e667bdb30ad4b8351bda7b2a83812fd58d46a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001644.json b/manifests/batches/mathlib/001644.json
index e7915a2099dcf7e9bfd98404f9bfe49d561bb433..7db5255605cad830dce51ab98d6ac5f011415aaf 100644
--- a/manifests/batches/mathlib/001644.json
+++ b/manifests/batches/mathlib/001644.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001644",
   "batch_fingerprint": "93d8b6ff4646d1dea191ab24edd96a7ab896f9ddb5a5699503cff99632e5123c",
   "evidence": {
@@ -577,22 +576,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001644-0000-d47f0c283059b0ce.parquet",
-      "sha256": "d47f0c283059b0ce856ba174246ceec168f1461e6c91afa5cbe53d325911940c",
-      "bytes": 139102,
-      "rows": 18,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001644-0000-c53b87a9e2b5a6f3.parquet",
-      "sha256": "c53b87a9e2b5a6f38e3063f8010e2df650526fc71d8e5ee23fe036f3d689e5fb",
-      "bytes": 50607,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsIntegral.mem_range_algHom_of_minpoly_splits",
     "mathlib:IsIntegral.minpoly_splits_tower_top",
@@ -606,5 +590,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/Field.lean\",null,null,\"Subalgebra.adjoin_rank_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/PowerBasis.lean\",null,null,\"PowerBasis.repr_mul_isIntegral\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/PowerBasis.lean\",null,null,\"PowerBasis.toMatrix_isIntegral\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139102,
+      "path": "data/train/pa9/mathlib-001644-0000-d47f0c283059b0ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d47f0c283059b0ce856ba174246ceec168f1461e6c91afa5cbe53d325911940c"
+    },
+    {
+      "bytes": 50607,
+      "path": "data/dev/pa9/mathlib-001644-0000-c53b87a9e2b5a6f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c53b87a9e2b5a6f38e3063f8010e2df650526fc71d8e5ee23fe036f3d689e5fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001645.json b/manifests/batches/mathlib/001645.json
index 06cd6473434bbcf140f8612f05f68a6665e932be..71357d11e949bf88a7812695f621968028e95c67 100644
--- a/manifests/batches/mathlib/001645.json
+++ b/manifests/batches/mathlib/001645.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001645",
   "batch_fingerprint": "365784d369dd1b7114667559731b2928f8f283cec761973cd34da3991263b8b7",
   "evidence": {
@@ -2431,15 +2430,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001645-0000-f6a1fc575ce18f72.parquet",
-      "sha256": "f6a1fc575ce18f72dba7e6418da654a7508a72d86316980763221f46f4ebb618",
-      "bytes": 61569,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.adjoin_res_eq_adjoin_res",
     "mathlib:Algebra.fg_trans'"
@@ -2447,5 +2438,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/Tower.lean\",null,null,\"Algebra.adjoin_res_eq_adjoin_res\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Adjoin/Tower.lean\",null,null,\"Algebra.fg_trans'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61569,
+      "path": "data/train/p23/mathlib-001645-0000-f6a1fc575ce18f72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f6a1fc575ce18f72dba7e6418da654a7508a72d86316980763221f46f4ebb618"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001646.json b/manifests/batches/mathlib/001646.json
index dd6bd2d892876d15fc49aee50af7a16a31f4a696..8f1fba86d68624176f8b62c981df73d0209a8de3 100644
--- a/manifests/batches/mathlib/001646.json
+++ b/manifests/batches/mathlib/001646.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001646",
   "batch_fingerprint": "3a207116d89b956d0b18d9680eea9fd4a36320f3c4ad9248ebe73d3a160186d5",
   "evidence": {
@@ -1490,22 +1489,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001646-0000-f74d689e2f1cb316.parquet",
-      "sha256": "f74d689e2f1cb3163a17404eabd5a2e8c4d66e75ca6b02d976d56d72e1904482",
-      "bytes": 207531,
-      "rows": 40,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001646-0000-cb7f32e71860c68b.parquet",
-      "sha256": "cb7f32e71860c68b3da35bd7c57bfffdfb155a5db0709fcd2bcd5205a980a981",
-      "bytes": 57586,
-      "rows": 5,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.IsAlgebraic.algHom_bijective",
     "mathlib:Algebra.IsAlgebraic.trans",
@@ -1545,5 +1529,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Algebraic.lean\",null,null,\"isAlgebraic_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Algebraic.lean\",null,null,\"isAlgebraic_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Algebraic.lean\",null,null,\"isAlgebraic_rat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207531,
+      "path": "data/train/p35/mathlib-001646-0000-f74d689e2f1cb316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f74d689e2f1cb3163a17404eabd5a2e8c4d66e75ca6b02d976d56d72e1904482"
+    },
+    {
+      "bytes": 57586,
+      "path": "data/dev/p35/mathlib-001646-0000-cb7f32e71860c68b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cb7f32e71860c68b3da35bd7c57bfffdfb155a5db0709fcd2bcd5205a980a981"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001647.json b/manifests/batches/mathlib/001647.json
index ddda976e2d0c3c27f240a0a4c8091b4da58e15f9..bce19c1dc6bd3919d6dd1bc43c93c939356762c1 100644
--- a/manifests/batches/mathlib/001647.json
+++ b/manifests/batches/mathlib/001647.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001647",
   "batch_fingerprint": "14f584a40cb6a0d4d9778529a591b7cc9dd7966be4418250f615a014b8a9a921",
   "evidence": {
@@ -3181,29 +3180,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001647-0000-74e20a8aa033667c.parquet",
-      "sha256": "74e20a8aa033667ca21fc67695543261d0e9b7655a3cb401e910b56e500fa644",
-      "bytes": 218557,
-      "rows": 47,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001647-0000-5685a9c9ad7d7862.parquet",
-      "sha256": "5685a9c9ad7d786286c8032e75bd3404d34cf489a2987a957c329a711dcfbd56",
-      "bytes": 61406,
-      "rows": 5,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001647-0000-1f13118725b5e2e8.parquet",
-      "sha256": "1f13118725b5e2e81d760d7191de58564f78f7ae112eac068b40581b54456491",
-      "bytes": 60158,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgebraicIndependent.algebraMap_injective",
     "mathlib:AlgebraicIndependent.coe_range",
@@ -3261,5 +3238,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Artinian.lean\",null,null,\"isArtinian_of_tower\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Artinian.lean\",null,null,\"monotone_stabilizes_iff_artinian\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Artinian.lean\",null,null,\"set_has_minimal_iff_artinian\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218557,
+      "path": "data/train/p0f/mathlib-001647-0000-74e20a8aa033667c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "74e20a8aa033667ca21fc67695543261d0e9b7655a3cb401e910b56e500fa644"
+    },
+    {
+      "bytes": 61406,
+      "path": "data/dev/p0f/mathlib-001647-0000-5685a9c9ad7d7862.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5685a9c9ad7d786286c8032e75bd3404d34cf489a2987a957c329a711dcfbd56"
+    },
+    {
+      "bytes": 60158,
+      "path": "data/internal_test/p0f/mathlib-001647-0000-1f13118725b5e2e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1f13118725b5e2e81d760d7191de58564f78f7ae112eac068b40581b54456491"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001648.json b/manifests/batches/mathlib/001648.json
index 5d549cab7af6b7cbb2574fcbf4123d0603ef78ad..84d53ac6ddcd2f010961b03e00fcc72c7b9de3f7 100644
--- a/manifests/batches/mathlib/001648.json
+++ b/manifests/batches/mathlib/001648.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001648",
   "batch_fingerprint": "9b146fc657fdef4587ac9d95d3d626040ee4b17857d426eda083ef459776260e",
   "evidence": {
@@ -637,7 +636,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001649.json b/manifests/batches/mathlib/001649.json
index 12ea60dc33856dcded7d6c7bb6c8192ed10870c5..853771bee2d54e52610308cafa33501a0e54584c 100644
--- a/manifests/batches/mathlib/001649.json
+++ b/manifests/batches/mathlib/001649.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001649",
   "batch_fingerprint": "8e0c87a8945ecd492918de6627a5f9b411d3fff18e78461503d2cdfdc3ace3b5",
   "evidence": {
@@ -1338,22 +1337,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001649-0000-516cfe32f03ba9ee.parquet",
-      "sha256": "516cfe32f03ba9ee69b6c51f4a817f32d9492c0774dee36fefbcf964cba9f2fc",
-      "bytes": 59614,
-      "rows": 3,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001649-0000-eacbf2684f501409.parquet",
-      "sha256": "eacbf2684f501409297b736026808c67c63abe8945c1b762305a24022db58b62",
-      "bytes": 43440,
-      "rows": 1,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BialgHom.coe_coalgHom_mk",
     "mathlib:BialgHom.ext_of_ring",
@@ -1363,5 +1347,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Bialgebra/Hom.lean\",null,null,\"BialgHom.coe_coalgHom_mk\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Bialgebra/Hom.lean\",null,null,\"BialgHom.ext_of_ring\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Bialgebra/Hom.lean\",null,null,\"BialgHom.toAlgHom_toLinearMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59614,
+      "path": "data/train/pa0/mathlib-001649-0000-516cfe32f03ba9ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "516cfe32f03ba9ee69b6c51f4a817f32d9492c0774dee36fefbcf964cba9f2fc"
+    },
+    {
+      "bytes": 43440,
+      "path": "data/internal_test/pa0/mathlib-001649-0000-eacbf2684f501409.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "eacbf2684f501409297b736026808c67c63abe8945c1b762305a24022db58b62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001650.json b/manifests/batches/mathlib/001650.json
index 1bbd5cc40b71b1305135df63097ab75a08c7fdbb..54df656a29f1c8c1cf8d64e527181ff88307f075 100644
--- a/manifests/batches/mathlib/001650.json
+++ b/manifests/batches/mathlib/001650.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001650",
   "batch_fingerprint": "e964db2d675d5c64cba93e0c729a028af084579e575780dd4e996e572c3b5598",
   "evidence": {
@@ -2687,22 +2686,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001650-0000-8b1d608da3e2fa9a.parquet",
-      "sha256": "8b1d608da3e2fa9a857a70f9384c01c930f0a0fa4c5aa633d028ba1b1c725c89",
-      "bytes": 54808,
-      "rows": 9,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001650-0000-ca2da43e4abaf436.parquet",
-      "sha256": "ca2da43e4abaf436078a333cf25a992cb4697571d2ea8487cf084616475ec888",
-      "bytes": 99035,
-      "rows": 16,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.ascPochhammer_smeval_eq_eval",
     "mathlib:Ring.ascPochhammer_succ_succ",
@@ -2724,5 +2708,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Binomial.lean\",null,null,\"Ring.multichoose_zero_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Binomial.lean\",null,null,\"Ring.multichoose_zero_right'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Binomial.lean\",null,null,\"Ring.multichoose_zero_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54808,
+      "path": "data/train/pe6/mathlib-001650-0000-8b1d608da3e2fa9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8b1d608da3e2fa9a857a70f9384c01c930f0a0fa4c5aa633d028ba1b1c725c89"
+    },
+    {
+      "bytes": 99035,
+      "path": "data/internal_test/pe6/mathlib-001650-0000-ca2da43e4abaf436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ca2da43e4abaf436078a333cf25a992cb4697571d2ea8487cf084616475ec888"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001651.json b/manifests/batches/mathlib/001651.json
index ad0f5d8ef0901868c405b1c5eaccc56c8e8c22c4..c0bcbdd9646554490ba994ed8cc343d8879fbaf9 100644
--- a/manifests/batches/mathlib/001651.json
+++ b/manifests/batches/mathlib/001651.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001651",
   "batch_fingerprint": "f63cb7ff786c9d87e4a4d2c28667dc40e001610b822927dae22874a91d82f5b5",
   "evidence": {
@@ -1442,36 +1441,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001651-0000-4e7087fbd4899270.parquet",
-      "sha256": "4e7087fbd48992700e6b14ac60ed9ba8f33629ef93e0c30b8308165b12560fb3",
-      "bytes": 227514,
-      "rows": 9,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/train/mathlib-001651-0001-d7afe054cb76b888.parquet",
-      "sha256": "d7afe054cb76b888b888b12fedb1ed52e2a3ae712592753829859ef1c86461d8",
-      "bytes": 226938,
-      "rows": 32,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/dev/mathlib-001651-0000-5ab23c6da0569541.parquet",
-      "sha256": "5ab23c6da0569541193b7e5824ac277eef451113b918869c2399fef2a48eba28",
-      "bytes": 59059,
-      "rows": 2,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/internal_test/mathlib-001651-0000-b035af96a79cc3f0.parquet",
-      "sha256": "b035af96a79cc3f0905c8ea03c9e9b52c3bcb080d30fb3f03e697ebc77dd6b2c",
-      "bytes": 87670,
-      "rows": 4,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClassGroup.Quot_mk_eq_mk",
     "mathlib:ClassGroup.equiv_mk",
@@ -1515,5 +1485,35 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coalgebra/Basic.lean\",null,null,\"Prod.comul_comp_inr\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coalgebra/Basic.lean\",null,null,\"Prod.counit_comp_inl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coalgebra/Basic.lean\",null,null,\"Prod.counit_comp_inr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227514,
+      "path": "data/train/p79/mathlib-001651-0000-4e7087fbd4899270.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4e7087fbd48992700e6b14ac60ed9ba8f33629ef93e0c30b8308165b12560fb3"
+    },
+    {
+      "bytes": 226938,
+      "path": "data/train/p79/mathlib-001651-0001-d7afe054cb76b888.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "d7afe054cb76b888b888b12fedb1ed52e2a3ae712592753829859ef1c86461d8"
+    },
+    {
+      "bytes": 59059,
+      "path": "data/dev/p79/mathlib-001651-0000-5ab23c6da0569541.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5ab23c6da0569541193b7e5824ac277eef451113b918869c2399fef2a48eba28"
+    },
+    {
+      "bytes": 87670,
+      "path": "data/internal_test/p79/mathlib-001651-0000-b035af96a79cc3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b035af96a79cc3f0905c8ea03c9e9b52c3bcb080d30fb3f03e697ebc77dd6b2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001652.json b/manifests/batches/mathlib/001652.json
index c9a25f2493953548b39ad39827a9579ab0e124eb..922bfed016a0b2b5b96a94398bd23640359a6f06 100644
--- a/manifests/batches/mathlib/001652.json
+++ b/manifests/batches/mathlib/001652.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001652",
   "batch_fingerprint": "05ff929542bf4fc7ab360526dbcc7fec381bc5631aa3dbc77a3dadc20014faf0",
   "evidence": {
@@ -1272,19 +1271,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001652-0000-bdde609d05e24214.parquet",
-      "sha256": "bdde609d05e24214395b7ab25d323576219324f449752864668e7baab9ccdc1e",
-      "bytes": 58695,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CoalgHom.ext_of_ring"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coalgebra/Hom.lean\",null,null,\"CoalgHom.ext_of_ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58695,
+      "path": "data/train/p9d/mathlib-001652-0000-bdde609d05e24214.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bdde609d05e24214395b7ab25d323576219324f449752864668e7baab9ccdc1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001653.json b/manifests/batches/mathlib/001653.json
index 9a3aeb8fd830e02a76701a891ad42acbf3a0cd8a..b376df9c5dc3d6f249d742aa1c21214e7954bf78 100644
--- a/manifests/batches/mathlib/001653.json
+++ b/manifests/batches/mathlib/001653.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001653",
   "batch_fingerprint": "59be9b1d01ef579f29c321d8385f4884ee4301170ec0223a93aa29fe27afc269",
   "evidence": {
@@ -896,15 +895,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001653-0000-e184d5bb98024187.parquet",
-      "sha256": "e184d5bb9802418722aa59ff617b15ed0827c675e9ce019cbdb5ca1272dc165e",
-      "bytes": 80193,
-      "rows": 26,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.norm_complex_apply",
     "mathlib:Algebra.trace_complex_apply",
@@ -930,5 +921,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Congruence/Basic.lean\",null,null,\"RingCon.sSup_eq_ringConGen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Congruence/Basic.lean\",null,null,\"RingCon.sup_def\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Congruence/Basic.lean\",null,null,\"RingCon.sup_eq_ringConGen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80193,
+      "path": "data/train/p87/mathlib-001653-0000-e184d5bb98024187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e184d5bb9802418722aa59ff617b15ed0827c675e9ce019cbdb5ca1272dc165e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001654.json b/manifests/batches/mathlib/001654.json
index 0c40af6d1c45a1409b43a26f18e11e1bb44beb58..76ee0b692c42c55cdc84825552ae4a4b7cdb4044 100644
--- a/manifests/batches/mathlib/001654.json
+++ b/manifests/batches/mathlib/001654.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001654",
   "batch_fingerprint": "bc21851655bc2d90121ffa19c40705daaf95ecffdf357acb41e631e036fc543c",
   "evidence": {
@@ -129,7 +128,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001655.json b/manifests/batches/mathlib/001655.json
index ea1fbeeefaa031d602d80095e667e442e207e17f..1324ef8cb6901578272cc1cc48fa50bc6d5625ab 100644
--- a/manifests/batches/mathlib/001655.json
+++ b/manifests/batches/mathlib/001655.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001655",
   "batch_fingerprint": "0ba315796799aa66586987db838007fae76b3364fc49c2466d2f6b3806c5d371",
   "evidence": {
@@ -2235,29 +2234,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001655-0000-e067b9b57c474616.parquet",
-      "sha256": "e067b9b57c47461626e448d77de26ab1a90b4adb603f3b84109c7fd2878fa7ed",
-      "bytes": 124222,
-      "rows": 58,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/dev/mathlib-001655-0000-8927b74d3d62d9a1.parquet",
-      "sha256": "8927b74d3d62d9a14e17dee5f9e0a82da4a5c14f8cb1e3778c540686e66e679d",
-      "bytes": 38889,
-      "rows": 5,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001655-0000-24644019d6a9b061.parquet",
-      "sha256": "24644019d6a9b0610f1148b53f8c9d09613d070d7a7ea10ac82625e599ee2a76",
-      "bytes": 40672,
-      "rows": 4,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCoprime.add_mul_left_left",
     "mathlib:IsCoprime.add_mul_left_right",
@@ -2331,5 +2308,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Basic.lean\",null,null,\"IsRelPrime.of_add_mul_left_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Basic.lean\",null,null,\"isCoprime_one_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Basic.lean\",null,null,\"isCoprime_one_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124222,
+      "path": "data/train/p62/mathlib-001655-0000-e067b9b57c474616.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "e067b9b57c47461626e448d77de26ab1a90b4adb603f3b84109c7fd2878fa7ed"
+    },
+    {
+      "bytes": 38889,
+      "path": "data/dev/p62/mathlib-001655-0000-8927b74d3d62d9a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8927b74d3d62d9a14e17dee5f9e0a82da4a5c14f8cb1e3778c540686e66e679d"
+    },
+    {
+      "bytes": 40672,
+      "path": "data/internal_test/p62/mathlib-001655-0000-24644019d6a9b061.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "24644019d6a9b0610f1148b53f8c9d09613d070d7a7ea10ac82625e599ee2a76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001656.json b/manifests/batches/mathlib/001656.json
index a1d759607bb48b93efc4dbddec16dceb4fbb3f36..de85f3e89194d0d9e1e8901f8f8d9ebf2c58020d 100644
--- a/manifests/batches/mathlib/001656.json
+++ b/manifests/batches/mathlib/001656.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001656",
   "batch_fingerprint": "5879d77494172ceb1f01e9c9f998ba4a9fe75a34a5a4f7b92bcf7704169658e7",
   "evidence": {
@@ -2875,22 +2874,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001656-0000-ef9499160a5381a6.parquet",
-      "sha256": "ef9499160a5381a6206272840db2c8e73095e1e9a3cd1c596f2c2a534574ddfa",
-      "bytes": 71547,
-      "rows": 22,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001656-0000-3f43d904e1b24d46.parquet",
-      "sha256": "3f43d904e1b24d463dfe1e84d5a067b97364477e39a72690583b2a1e6791f448",
-      "bytes": 35345,
-      "rows": 1,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsCoprime.pow_left",
     "mathlib:IsCoprime.pow_left_iff",
@@ -2920,5 +2904,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Lemmas.lean\",null,null,\"Nat.Coprime.cast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Lemmas.lean\",null,null,\"Nat.isCoprime_iff_coprime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Coprime/Lemmas.lean\",null,null,\"ne_zero_or_ne_zero_of_nat_coprime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71547,
+      "path": "data/train/p8e/mathlib-001656-0000-ef9499160a5381a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ef9499160a5381a6206272840db2c8e73095e1e9a3cd1c596f2c2a534574ddfa"
+    },
+    {
+      "bytes": 35345,
+      "path": "data/internal_test/p8e/mathlib-001656-0000-3f43d904e1b24d46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3f43d904e1b24d463dfe1e84d5a067b97364477e39a72690583b2a1e6791f448"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001657.json b/manifests/batches/mathlib/001657.json
index 23098dc53b8afc14b7df6bb88c51dac1a0e7583a..20a5604a9436e58282b4f07f189598052fa5ceb7 100644
--- a/manifests/batches/mathlib/001657.json
+++ b/manifests/batches/mathlib/001657.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001657",
   "batch_fingerprint": "f83afcbcd9c25a1708b6b68210fa8fef467244f8133948409c775d83f2cdf4f1",
   "evidence": {
@@ -2183,22 +2182,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001657-0000-655017ff6848b12c.parquet",
-      "sha256": "655017ff6848b12c6dff229b401ccf9203490dc08a690211dd67478b3e62a5c4",
-      "bytes": 232779,
-      "rows": 40,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001657-0000-1bf3c35119992758.parquet",
-      "sha256": "1bf3c351199927583aece6e2527bded59dad58d99666431720ae639700f2b62c",
-      "bytes": 89776,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FractionalIdeal.coe_dual",
     "mathlib:FractionalIdeal.coe_dual_one",
@@ -2240,5 +2224,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Different.lean\",null,null,\"aeval_derivative_mem_differentIdeal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Different.lean\",null,null,\"coeIdeal_differentIdeal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Different.lean\",null,null,\"differentialIdeal_le_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232779,
+      "path": "data/train/pf7/mathlib-001657-0000-655017ff6848b12c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "655017ff6848b12c6dff229b401ccf9203490dc08a690211dd67478b3e62a5c4"
+    },
+    {
+      "bytes": 89776,
+      "path": "data/internal_test/pf7/mathlib-001657-0000-1bf3c35119992758.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1bf3c351199927583aece6e2527bded59dad58d99666431720ae639700f2b62c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001658.json b/manifests/batches/mathlib/001658.json
index 690e59f26e5bd0a824be41ce49fc71ef7f6e940a..f9a6bbda169e206981ac4fe9cbb47a328aadec5d 100644
--- a/manifests/batches/mathlib/001658.json
+++ b/manifests/batches/mathlib/001658.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001658",
   "batch_fingerprint": "548efa496352633b1eb0d03e9597d50546b67d86934f521be24e43c8942624b0",
   "evidence": {
@@ -2557,22 +2556,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001658-0000-4e04feff4a5d1883.parquet",
-      "sha256": "4e04feff4a5d1883d74a14b40988128da083fe3892aba34b2da91773dba5a6c5",
-      "bytes": 374940,
-      "rows": 56,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001658-0000-a597da1997b89879.parquet",
-      "sha256": "a597da1997b898793d0ce89d18f8a241eb8911463e0414bfd74be1fc1688058b",
-      "bytes": 77052,
-      "rows": 6,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FractionalIdeal.count_inv",
     "mathlib:FractionalIdeal.count_ne_zero",
@@ -2602,5 +2586,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Factorization.lean\",null,null,\"Ideal.finprod_count\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Factorization.lean\",null,null,\"Ideal.finprod_heightOneSpectrum_factorization_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Factorization.lean\",null,null,\"Ideal.finprod_not_dvd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374940,
+      "path": "data/train/pb3/mathlib-001658-0000-4e04feff4a5d1883.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "4e04feff4a5d1883d74a14b40988128da083fe3892aba34b2da91773dba5a6c5"
+    },
+    {
+      "bytes": 77052,
+      "path": "data/internal_test/pb3/mathlib-001658-0000-a597da1997b89879.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a597da1997b898793d0ce89d18f8a241eb8911463e0414bfd74be1fc1688058b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001659.json b/manifests/batches/mathlib/001659.json
index 55ba27e3ffcb3f7dee50b2aed07c86db938b5ce4..3992764c4365ff3891f84b12861ce33c1e1bc7b6 100644
--- a/manifests/batches/mathlib/001659.json
+++ b/manifests/batches/mathlib/001659.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001659",
   "batch_fingerprint": "152ad1caf2daaf1291b298fd357fc27df3b505f036cc2bf9e28613e3365961ec",
   "evidence": {
@@ -5689,29 +5688,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001659-0000-74d681b8a8240688.parquet",
-      "sha256": "74d681b8a8240688e7335bf1f6ed53a3509158dfd9384712647a5af57ab6a93e",
-      "bytes": 353458,
-      "rows": 60,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/dev/mathlib-001659-0000-772e7197378d38cd.parquet",
-      "sha256": "772e7197378d38cd5bbe3352b0eb8d172cc100bf2b0d1694952ae96ae0d69f08",
-      "bytes": 55482,
-      "rows": 2,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/internal_test/mathlib-001659-0000-72bbeb36de8f0675.parquet",
-      "sha256": "72bbeb36de8f0675daabccf58f10f02a61bc3aa2fdcad6845c3412656864ebf8",
-      "bytes": 78383,
-      "rows": 5,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Associates.le_singleton_iff",
     "mathlib:FractionalIdeal.coe_ideal_span_singleton_div_self",
@@ -5783,5 +5760,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Ideal.lean\",null,null,\"multiplicity_normalizedFactorsEquivSpanNormalizedFactors_symm_eq_multiplicity\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Ideal.lean\",null,null,\"normalizedFactorsEquivOfQuotEquiv_multiplicity_eq_multiplicity\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/Ideal.lean\",null,null,\"one_mem_inv_coe_ideal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353458,
+      "path": "data/train/p88/mathlib-001659-0000-74d681b8a8240688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "74d681b8a8240688e7335bf1f6ed53a3509158dfd9384712647a5af57ab6a93e"
+    },
+    {
+      "bytes": 55482,
+      "path": "data/dev/p88/mathlib-001659-0000-772e7197378d38cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "772e7197378d38cd5bbe3352b0eb8d172cc100bf2b0d1694952ae96ae0d69f08"
+    },
+    {
+      "bytes": 78383,
+      "path": "data/internal_test/p88/mathlib-001659-0000-72bbeb36de8f0675.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "72bbeb36de8f0675daabccf58f10f02a61bc3aa2fdcad6845c3412656864ebf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001660.json b/manifests/batches/mathlib/001660.json
index f934881ba14879a2b2f7d8eda575f8c32e3f8651..9eaeb0fdfacb1a76b2562c6b7a7bd274b21bd124 100644
--- a/manifests/batches/mathlib/001660.json
+++ b/manifests/batches/mathlib/001660.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001660",
   "batch_fingerprint": "b7d4c5c1901ff7c18dc4be4e5e1a24f12e779f8595137167246deccbfb0fd221",
   "evidence": {
@@ -1774,15 +1773,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001660-0000-dd75d40726bfe240.parquet",
-      "sha256": "dd75d40726bfe240b502c78c0d4c7e81f9ac2a92a9dc964d17743b2a4b380f33",
-      "bytes": 268665,
-      "rows": 26,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsDedekindDomain.isPrincipalIdealRing_localization_over_prime",
     "mathlib:IsIntegralClosure.isNoetherian",
@@ -1796,5 +1787,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean\",null,null,\"IsIntegralClosure.rank\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean\",null,null,\"integralClosure_le_span_dualBasis\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/PID.lean\",null,null,\"IsDedekindDomain.isPrincipalIdealRing_localization_over_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268665,
+      "path": "data/train/p3e/mathlib-001660-0000-dd75d40726bfe240.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "dd75d40726bfe240b502c78c0d4c7e81f9ac2a92a9dc964d17743b2a4b380f33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001661.json b/manifests/batches/mathlib/001661.json
index 448914fa865ead753bbcf6bb4a93cf4033c53f71..5928cb3ea5ca1606fe74bf495466717b576cd191 100644
--- a/manifests/batches/mathlib/001661.json
+++ b/manifests/batches/mathlib/001661.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001661",
   "batch_fingerprint": "d4b570062fef2b79a8204e057b32ffa6e3c758beb015132de5abb0ad7242a74a",
   "evidence": {
@@ -591,22 +590,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001661-0000-4055f84133155a69.parquet",
-      "sha256": "4055f84133155a69d69d995b4f98785de1d0a09b2f6889ab267bc195bd7b923f",
-      "bytes": 54476,
-      "rows": 3,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    },
-    {
-      "path": "data/internal_test/mathlib-001661-0000-3c7cc24d57c66b90.parquet",
-      "sha256": "3c7cc24d57c66b90b6fb4ec39c12918488f37effdc8a0ee287b77552ffd66383",
-      "bytes": 138595,
-      "rows": 2,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_mod_eq",
     "mathlib:IsDedekindDomain.selmerGroup.fromUnitLift_injective",
@@ -616,5 +600,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/SInteger.lean\",null,null,\"Set.integer_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/SelmerGroup.lean\",null,null,\"IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_mod_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DedekindDomain/SelmerGroup.lean\",null,null,\"IsDedekindDomain.selmerGroup.fromUnitLift_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54476,
+      "path": "data/train/p7e/mathlib-001661-0000-4055f84133155a69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4055f84133155a69d69d995b4f98785de1d0a09b2f6889ab267bc195bd7b923f"
+    },
+    {
+      "bytes": 138595,
+      "path": "data/internal_test/p7e/mathlib-001661-0000-3c7cc24d57c66b90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3c7cc24d57c66b90b6fb4ec39c12918488f37effdc8a0ee287b77552ffd66383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001662.json b/manifests/batches/mathlib/001662.json
index 5b11621b45298b1c280a2221798c777dae151e15..cd8cafa0e9bbe730b55bf2e03dc4baf64be9cdc2 100644
--- a/manifests/batches/mathlib/001662.json
+++ b/manifests/batches/mathlib/001662.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001662",
   "batch_fingerprint": "fc0bef2c39bbc4e8c62556e0831f4bd0d9b1041c146fe80997081aeef2e3c746",
   "evidence": {
@@ -1158,22 +1157,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001662-0000-7d3f1fd2c2e415b9.parquet",
-      "sha256": "7d3f1fd2c2e415b9c0322200502307a566e6bc2a1cec4a7bff870e5d18f20da0",
-      "bytes": 46711,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001662-0000-644846d9dbb9a031.parquet",
-      "sha256": "644846d9dbb9a031aaf56aa2ef33ab75cf5c75833afe289f318372225c99914e",
-      "bytes": 49972,
-      "rows": 1,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Derivation.map_algebraMap",
     "mathlib:Derivation.map_intCast",
@@ -1183,5 +1167,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Derivation/Basic.lean\",null,null,\"Derivation.map_algebraMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Derivation/Basic.lean\",null,null,\"Derivation.map_intCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Derivation/Basic.lean\",null,null,\"Derivation.map_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46711,
+      "path": "data/train/pc4/mathlib-001662-0000-7d3f1fd2c2e415b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7d3f1fd2c2e415b9c0322200502307a566e6bc2a1cec4a7bff870e5d18f20da0"
+    },
+    {
+      "bytes": 49972,
+      "path": "data/internal_test/pc4/mathlib-001662-0000-644846d9dbb9a031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "644846d9dbb9a031aaf56aa2ef33ab75cf5c75833afe289f318372225c99914e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001663.json b/manifests/batches/mathlib/001663.json
index 40c5c6a2f6d40df6bd960ad4105936e20696c5a3..e71b2140515a48f0a68146d5ec43ef861aee95ab 100644
--- a/manifests/batches/mathlib/001663.json
+++ b/manifests/batches/mathlib/001663.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001663",
   "batch_fingerprint": "151044448945a9a11ea7523fb87575691a9d317d1174a782c84e726e462508f1",
   "evidence": {
@@ -2079,22 +2078,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001663-0000-530fafc348ba7ba4.parquet",
-      "sha256": "530fafc348ba7ba42bbd99129cdb6cffe510cb51535d2b4401988e83c4fcd7c6",
-      "bytes": 168304,
-      "rows": 46,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001663-0000-7cd5a5ab464059c3.parquet",
-      "sha256": "7cd5a5ab464059c393f7fcfb1ad02d459acc64ea33589d6daa7558443c575fca",
-      "bytes": 55267,
-      "rows": 2,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DiscreteValuationRing.HasUnitMulPowIrreducibleFactorization.of_ufd_of_unique_irreducible",
     "mathlib:DiscreteValuationRing.addVal_def",
@@ -2122,5 +2106,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DiscreteValuationRing/Basic.lean\",null,null,\"DiscreteValuationRing.irreducible_iff_uniformizer\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DiscreteValuationRing/Basic.lean\",null,null,\"DiscreteValuationRing.ofHasUnitMulPowIrreducibleFactorization\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/DiscreteValuationRing/Basic.lean\",null,null,\"Irreducible.addVal_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168304,
+      "path": "data/train/p77/mathlib-001663-0000-530fafc348ba7ba4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "530fafc348ba7ba42bbd99129cdb6cffe510cb51535d2b4401988e83c4fcd7c6"
+    },
+    {
+      "bytes": 55267,
+      "path": "data/internal_test/p77/mathlib-001663-0000-7cd5a5ab464059c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cd5a5ab464059c393f7fcfb1ad02d459acc64ea33589d6daa7558443c575fca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001664.json b/manifests/batches/mathlib/001664.json
index 9ddeb7e24b780be42ec8a0927be244f05ce07671..c151bb2ea567af64b60d1c365f8843fa9cd4bc73 100644
--- a/manifests/batches/mathlib/001664.json
+++ b/manifests/batches/mathlib/001664.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001664",
   "batch_fingerprint": "36b0cf61a8e4ed6193bca4901db3c082ae557f2f15f1d75a5fd56e4fb013a2fa",
   "evidence": {
@@ -2570,15 +2569,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001664-0000-da648523ef79a3b7.parquet",
-      "sha256": "da648523ef79a3b72b0e5cf4f84127b6d968e1c2732a712e99447f6aaeade5ca",
-      "bytes": 98075,
-      "rows": 13,
-      "revision": "82bfa16b8fd75900ff81d1d4bbdd1ee1cdcdee37"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.discr_eq_det_embeddingsMatrixReindex_pow_two",
     "mathlib:Algebra.discr_eq_discr_of_algEquiv",
@@ -2594,5 +2585,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Discriminant.lean\",null,null,\"Algebra.discr_of_matrix_mulVec\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Discriminant.lean\",null,null,\"Algebra.discr_of_matrix_vecMul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Discriminant.lean\",null,null,\"Algebra.discr_powerBasis_eq_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98075,
+      "path": "data/train/p2a/mathlib-001664-0000-da648523ef79a3b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "da648523ef79a3b72b0e5cf4f84127b6d968e1c2732a712e99447f6aaeade5ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001665.json b/manifests/batches/mathlib/001665.json
index da75db136fcace8b4f53438b394b3ccbdf8138ad..ae407edbbeb66a0a90d5728da9c13e18e38a22e7 100644
--- a/manifests/batches/mathlib/001665.json
+++ b/manifests/batches/mathlib/001665.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001665",
   "batch_fingerprint": "84d8efcd63fef1c78309f612afc5f4665e5f28b0358688aa7c83d8888432cee9",
   "evidence": {
@@ -623,22 +622,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001665-0000-21020ea7c50d19f7.parquet",
-      "sha256": "21020ea7c50d19f7faae5b24c94ec3fc33e013ba0ece8cb51e9ff267a957345b",
-      "bytes": 71610,
-      "rows": 7,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    },
-    {
-      "path": "data/internal_test/mathlib-001665-0000-1b1d2d2570dd972c.parquet",
-      "sha256": "1b1d2d2570dd972ce5bf4e89044bc23914b43ebd6928e86f0d6a13209c919eb2",
-      "bytes": 53008,
-      "rows": 4,
-      "revision": "df8c9c479578582ca5384c5c62608ea4677707ca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.FormallyEtale.iff_unramified_and_smooth",
     "mathlib:Algebra.FormallyEtale.localization_map",
@@ -652,5 +636,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/EisensteinCriterion.lean\",null,null,\"Polynomial.EisensteinCriterionAux.le_natDegree_of_map_eq_mul_X_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Etale/Basic.lean\",null,null,\"Algebra.FormallyEtale.iff_unramified_and_smooth\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Etale/Basic.lean\",null,null,\"Algebra.FormallyEtale.localization_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71610,
+      "path": "data/train/pd5/mathlib-001665-0000-21020ea7c50d19f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "21020ea7c50d19f7faae5b24c94ec3fc33e013ba0ece8cb51e9ff267a957345b"
+    },
+    {
+      "bytes": 53008,
+      "path": "data/internal_test/pd5/mathlib-001665-0000-1b1d2d2570dd972c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1b1d2d2570dd972ce5bf4e89044bc23914b43ebd6928e86f0d6a13209c919eb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001666.json b/manifests/batches/mathlib/001666.json
index 29a58319129b87b0e00f19184b6eba4ead1e5962..cc31c8589459d7c56836a4bae3b57e7b4ce90da8 100644
--- a/manifests/batches/mathlib/001666.json
+++ b/manifests/batches/mathlib/001666.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001666",
   "batch_fingerprint": "18ae3dc24fd0c6d39c67c16b4fc3c94f9e69ce940b21060a5b1cc026f4cc4609",
   "evidence": {
@@ -1968,29 +1967,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001666-0000-b1d272777fc3e2ce.parquet",
-      "sha256": "b1d272777fc3e2cee8dc0cd0a5b924e2083f4c6cba56050306e65941318d04c1",
-      "bytes": 98968,
-      "rows": 31,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001666-0000-c162b02eb81d848f.parquet",
-      "sha256": "c162b02eb81d848f98c17d7545ebff285162c105a199b9a144739269013cdcdf",
-      "bytes": 50994,
-      "rows": 4,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001666-0000-f03cc2f1e33e1708.parquet",
-      "sha256": "f03cc2f1e33e1708a9d3464f59fe40f5cd3f26bd9dc9d7bbc4c78bd1ff58f861",
-      "bytes": 61767,
-      "rows": 7,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.Filtration.Stable.bounded_difference",
     "mathlib:Ideal.Filtration.inf_submodule",
@@ -2014,5 +1991,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Filtration.lean\",null,null,\"Ideal.iInf_pow_eq_bot_of_localRing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Filtration.lean\",null,null,\"Ideal.iInf_pow_smul_eq_bot_of_localRing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Filtration.lean\",null,null,\"Ideal.stableFiltration_stable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98968,
+      "path": "data/train/p4a/mathlib-001666-0000-b1d272777fc3e2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "b1d272777fc3e2cee8dc0cd0a5b924e2083f4c6cba56050306e65941318d04c1"
+    },
+    {
+      "bytes": 50994,
+      "path": "data/dev/p4a/mathlib-001666-0000-c162b02eb81d848f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c162b02eb81d848f98c17d7545ebff285162c105a199b9a144739269013cdcdf"
+    },
+    {
+      "bytes": 61767,
+      "path": "data/internal_test/p4a/mathlib-001666-0000-f03cc2f1e33e1708.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f03cc2f1e33e1708a9d3464f59fe40f5cd3f26bd9dc9d7bbc4c78bd1ff58f861"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001667.json b/manifests/batches/mathlib/001667.json
index 7a31e2218c49ac1cf48dc874e886bf2e7b4aa0b8..3a0160ed462b443b3e2013f6f8505d3398c8440b 100644
--- a/manifests/batches/mathlib/001667.json
+++ b/manifests/batches/mathlib/001667.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001667",
   "batch_fingerprint": "6cb782f1cd66476c16107691267e802befb4696efc5e7495766a3ab04ffe3df8",
   "evidence": {
@@ -2181,22 +2180,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001667-0000-a763e46037e46073.parquet",
-      "sha256": "a763e46037e46073a77eaaa35fb8eb0859e6d1b3fd07fb5b128095e20d685762",
-      "bytes": 76902,
-      "rows": 11,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001667-0000-31ce89b429fb85d0.parquet",
-      "sha256": "31ce89b429fb85d03752b283dc9bcb533a25d5a44aa295e75c5e21fb299a70ec",
-      "bytes": 67041,
-      "rows": 4,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AlgHom.FinitePresentation.of_surjective",
     "mathlib:Algebra.FinitePresentation.ker_fG_of_surjective",
@@ -2212,5 +2196,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FinitePresentation.lean\",null,null,\"RingHom.FinitePresentation.comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FinitePresentation.lean\",null,null,\"RingHom.FinitePresentation.of_comp_finiteType\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FinitePresentation.lean\",null,null,\"RingHom.FinitePresentation.of_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76902,
+      "path": "data/train/p47/mathlib-001667-0000-a763e46037e46073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a763e46037e46073a77eaaa35fb8eb0859e6d1b3fd07fb5b128095e20d685762"
+    },
+    {
+      "bytes": 67041,
+      "path": "data/internal_test/p47/mathlib-001667-0000-31ce89b429fb85d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "31ce89b429fb85d03752b283dc9bcb533a25d5a44aa295e75c5e21fb299a70ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001668.json b/manifests/batches/mathlib/001668.json
index 1f24a7de5fc072a69fb9e940adeb0a271b05918f..d5b299d8bf6d60f24269d8bccc4c802e0226ab4f 100644
--- a/manifests/batches/mathlib/001668.json
+++ b/manifests/batches/mathlib/001668.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001668",
   "batch_fingerprint": "cf4f9e7eb7c1566cc79fbb00b87f685799b426f99603f2fbfee787af825f357c",
   "evidence": {
@@ -5595,29 +5594,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001668-0000-8dbcd0f2b4b38785.parquet",
-      "sha256": "8dbcd0f2b4b38785b1610bb7b8afea9d17e5f77d39a64f58dfe713d4fc6c86f2",
-      "bytes": 230118,
-      "rows": 60,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001668-0000-80e4f94449414417.parquet",
-      "sha256": "80e4f94449414417063286eaa99a4fa892a2fbfbf105c9ccd96dbed6d892195b",
-      "bytes": 45049,
-      "rows": 1,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001668-0000-96ed68f763d88be4.parquet",
-      "sha256": "96ed68f763d88be41b371758053c672f02523ed7892c93d31c4190049737f78a",
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-      "rows": 11,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddMonoidAlgebra.finiteType_iff_group_fg",
     "mathlib:AddMonoidAlgebra.of'_mem_span",
@@ -5677,5 +5654,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Finiteness.lean\",null,null,\"Submodule.fg_restrictScalars\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Finiteness.lean\",null,null,\"Submodule.fg_span\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Finiteness.lean\",null,null,\"Submodule.fg_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230118,
+      "path": "data/train/p62/mathlib-001668-0000-8dbcd0f2b4b38785.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "8dbcd0f2b4b38785b1610bb7b8afea9d17e5f77d39a64f58dfe713d4fc6c86f2"
+    },
+    {
+      "bytes": 45049,
+      "path": "data/dev/p62/mathlib-001668-0000-80e4f94449414417.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "80e4f94449414417063286eaa99a4fa892a2fbfbf105c9ccd96dbed6d892195b"
+    },
+    {
+      "bytes": 76431,
+      "path": "data/internal_test/p62/mathlib-001668-0000-96ed68f763d88be4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "96ed68f763d88be41b371758053c672f02523ed7892c93d31c4190049737f78a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001669.json b/manifests/batches/mathlib/001669.json
index 051dbd7847fe77ce8a88eb6942b1be1655cb6f9c..80361ccefaa97140c38b2d0466912dfa682ea3cf 100644
--- a/manifests/batches/mathlib/001669.json
+++ b/manifests/batches/mathlib/001669.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001669",
   "batch_fingerprint": "6afee01fd96af815fa32557e1850cb9ea95db64dc640021c6e3aa6e0a975ba24",
   "evidence": {
@@ -410,7 +409,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001670.json b/manifests/batches/mathlib/001670.json
index d27f1d9cb778a697fc364ee0e30cb4d2df41298d..1803473c62559492510d2ef7e733acda15fbbe6c 100644
--- a/manifests/batches/mathlib/001670.json
+++ b/manifests/batches/mathlib/001670.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001670",
   "batch_fingerprint": "9fc6ba378d46aafef8e37f8a23b6c0bb595121a048dbb62e229c6e17779209b6",
   "evidence": {
@@ -1156,22 +1155,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001670-0000-58c331f87bba3458.parquet",
-      "sha256": "58c331f87bba3458a444d6dafa4d922c585137883d4f4bd4825c3018b1b0215d",
-      "bytes": 155458,
-      "rows": 18,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    },
-    {
-      "path": "data/internal_test/mathlib-001670-0000-ada238b526214fff.parquet",
-      "sha256": "ada238b526214fff07d33a0d2bc0fcd51df9d171aa0febff306354835eacf2d6",
-      "bytes": 43885,
-      "rows": 1,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Module.Flat.exists_factorization_of_apply_eq_zero_of_free",
     "mathlib:Module.Flat.iff_characterModule_baer",
@@ -1197,5 +1181,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Flat/EquationalCriterion.lean\",null,null,\"Module.isTrivialRelation_iff_vanishesTrivially\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Flat/EquationalCriterion.lean\",null,null,\"Module.sum_smul_eq_zero_of_isTrivialRelation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155458,
+      "path": "data/train/pcd/mathlib-001670-0000-58c331f87bba3458.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "58c331f87bba3458a444d6dafa4d922c585137883d4f4bd4825c3018b1b0215d"
+    },
+    {
+      "bytes": 43885,
+      "path": "data/internal_test/pcd/mathlib-001670-0000-ada238b526214fff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ada238b526214fff07d33a0d2bc0fcd51df9d171aa0febff306354835eacf2d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001671.json b/manifests/batches/mathlib/001671.json
index aedd2cd44ea7f24810edc5f6ceeececb59732499..cec9aa42c280bd5296dea3e42bdc94447d015022 100644
--- a/manifests/batches/mathlib/001671.json
+++ b/manifests/batches/mathlib/001671.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001671",
   "batch_fingerprint": "4b0de887af93c905e45db602ffc183bd6e2e0f5e56287cfdb5baba2f48c77ca6",
   "evidence": {
@@ -1661,29 +1660,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001671-0000-ea8c4eb01338afc2.parquet",
-      "sha256": "ea8c4eb01338afc22b639c3cc2f03170ad8b92f662c4b7dedbbea4d1c448cfaf",
-      "bytes": 344360,
-      "rows": 43,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001671-0000-4d5a30dbe8e033da.parquet",
-      "sha256": "4d5a30dbe8e033da9335139c7448abec03b9ff6918d0c2bbfa536e9cd7c0f440",
-      "bytes": 56857,
-      "rows": 9,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001671-0000-305ea65cb2fefbba.parquet",
-      "sha256": "305ea65cb2fefbba6f32dbd3c6adce78de79adabb5bd9c7875449e623a4dd5e6",
-      "bytes": 73384,
-      "rows": 8,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FractionalIdeal.coeIdeal_mul",
     "mathlib:FractionalIdeal.coe_mul",
@@ -1737,5 +1714,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FractionalIdeal/Basic.lean\",null,null,\"FractionalIdeal.one_le\"]",
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FractionalIdeal/Basic.lean\",null,null,\"IsFractional.inf_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344360,
+      "path": "data/train/p13/mathlib-001671-0000-ea8c4eb01338afc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "ea8c4eb01338afc22b639c3cc2f03170ad8b92f662c4b7dedbbea4d1c448cfaf"
+    },
+    {
+      "bytes": 56857,
+      "path": "data/dev/p13/mathlib-001671-0000-4d5a30dbe8e033da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4d5a30dbe8e033da9335139c7448abec03b9ff6918d0c2bbfa536e9cd7c0f440"
+    },
+    {
+      "bytes": 73384,
+      "path": "data/internal_test/p13/mathlib-001671-0000-305ea65cb2fefbba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "305ea65cb2fefbba6f32dbd3c6adce78de79adabb5bd9c7875449e623a4dd5e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001672.json b/manifests/batches/mathlib/001672.json
index 37ae0cc3f36738a115e2b399df69d1ef6803c717..0bdbf878e47915512f0f2a21803dcf1d76a7eee0 100644
--- a/manifests/batches/mathlib/001672.json
+++ b/manifests/batches/mathlib/001672.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001672",
   "batch_fingerprint": "975ea98654c6d2a69ba7117c6b3823bf4482f6e670e4e474551140e9ae2beea5",
   "evidence": {
@@ -3455,22 +3454,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001672-0000-92091b0431e9d3df.parquet",
-      "sha256": "92091b0431e9d3dfad62d6ed2555840e450e10834aa348c19820f3f82669fd17",
-      "bytes": 393678,
-      "rows": 82,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001672-0000-67729e77b089eb0c.parquet",
-      "sha256": "67729e77b089eb0ce29abf06a41a76e4dc72f09e23b155df4265bbab935fc0ff",
-      "bytes": 91751,
-      "rows": 15,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FractionalIdeal.absNorm_eq'",
     "mathlib:FractionalIdeal.absNorm_eq_zero_iff",
@@ -3562,5 +3546,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FractionalIdeal/Operations.lean\",null,null,\"FractionalIdeal.spanSingleton_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FractionalIdeal/Operations.lean\",null,null,\"Ideal.fg_of_isUnit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FractionalIdeal/Operations.lean\",null,null,\"IsFractional.map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393678,
+      "path": "data/train/p3b/mathlib-001672-0000-92091b0431e9d3df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 82,
+      "sha256": "92091b0431e9d3dfad62d6ed2555840e450e10834aa348c19820f3f82669fd17"
+    },
+    {
+      "bytes": 91751,
+      "path": "data/internal_test/p3b/mathlib-001672-0000-67729e77b089eb0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "67729e77b089eb0ce29abf06a41a76e4dc72f09e23b155df4265bbab935fc0ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001673.json b/manifests/batches/mathlib/001673.json
index 75b75339a6b594058cb78118742b1c6a7fd39733..04bef99c7b5b7ffd6fe456b2cd03a576b7011960 100644
--- a/manifests/batches/mathlib/001673.json
+++ b/manifests/batches/mathlib/001673.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001673",
   "batch_fingerprint": "4bd3739489c113a69ef69b116b6a5ebde41755f13895d83f4165ffe316913364",
   "evidence": {
@@ -1255,15 +1254,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001673-0000-f51a7dc566532a5e.parquet",
-      "sha256": "f51a7dc566532a5e2c06e955525fe893cf60e44cdbdc816c059dc04144557064",
-      "bytes": 63427,
-      "rows": 9,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FreeCommRing.exists_finset_support",
     "mathlib:FreeCommRing.induction_on",
@@ -1279,5 +1270,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FreeCommRing.lean\",null,null,\"FreeRing.coe_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FreeCommRing.lean\",null,null,\"FreeRing.coe_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/FreeRing.lean\",null,null,\"FreeRing.induction_on\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63427,
+      "path": "data/train/p2f/mathlib-001673-0000-f51a7dc566532a5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f51a7dc566532a5e2c06e955525fe893cf60e44cdbdc816c059dc04144557064"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001674.json b/manifests/batches/mathlib/001674.json
index d10a18dca704af9e9b0cd0729593760b95a9ea16..9ca5b28b0b3528b8bc958bf2015a7d9374997902 100644
--- a/manifests/batches/mathlib/001674.json
+++ b/manifests/batches/mathlib/001674.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001674",
   "batch_fingerprint": "ef0940214b7085745919a498536ce6ccd99af2292ecddca8357c9e1f01a77b1a",
   "evidence": {
@@ -1095,22 +1094,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001674-0000-dd5ff6151b6c87de.parquet",
-      "sha256": "dd5ff6151b6c87de6a89db45348e2b6d44b3b7a45caa0f28b7e16a7c5d168d65",
-      "bytes": 113798,
-      "rows": 18,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001674-0000-0bdf471a2593db27.parquet",
-      "sha256": "0bdf471a2593db27c7b7cea095f342bdc9b305c884da985f31880960fdd05a54",
-      "bytes": 73730,
-      "rows": 2,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirectSum.coe_decompose_mul_add_of_left_mem",
     "mathlib:DirectSum.coe_decompose_mul_add_of_right_mem",
@@ -1136,5 +1120,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/GradedAlgebra/Basic.lean\",null,null,\"GradedRing.projZeroRingHom'_apply_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/GradedAlgebra/Basic.lean\",null,null,\"GradedRing.proj_recompose\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113798,
+      "path": "data/train/p8f/mathlib-001674-0000-dd5ff6151b6c87de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "dd5ff6151b6c87de6a89db45348e2b6d44b3b7a45caa0f28b7e16a7c5d168d65"
+    },
+    {
+      "bytes": 73730,
+      "path": "data/internal_test/p8f/mathlib-001674-0000-0bdf471a2593db27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0bdf471a2593db27c7b7cea095f342bdc9b305c884da985f31880960fdd05a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001675.json b/manifests/batches/mathlib/001675.json
index dc86019a5d2e918d7851b5a04b55603b92caf66a..4cca055e82fca67568967111a23594f921d7d198 100644
--- a/manifests/batches/mathlib/001675.json
+++ b/manifests/batches/mathlib/001675.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001675",
   "batch_fingerprint": "1f7c52aac3b8e51004eb25bcacf89c0874dce9e6797143567a892e0bbf6e20f0",
   "evidence": {
@@ -2815,22 +2814,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001675-0000-569c9325e62a9167.parquet",
-      "sha256": "569c9325e62a9167757ca385e07ec0feb5ce6f6c4323d1f4e549e16f025b6849",
-      "bytes": 187440,
-      "rows": 49,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001675-0000-44a4163100b306ff.parquet",
-      "sha256": "44a4163100b306ffcd14d642edabf9d5c06c0383bab96cfd02dd2da5ba0e9a42",
-      "bytes": 64291,
-      "rows": 8,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HomogeneousIdeal.ext'",
     "mathlib:HomogeneousIdeal.toIdeal_homogeneousCore_eq_self",
@@ -2872,5 +2856,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean\",null,null,\"Ideal.homogeneousCore'_eq_sSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean\",null,null,\"Ideal.homogeneousHull_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean\",null,null,\"Ideal.toIdeal_homogeneousHull_eq_iSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187440,
+      "path": "data/train/pfb/mathlib-001675-0000-569c9325e62a9167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "569c9325e62a9167757ca385e07ec0feb5ce6f6c4323d1f4e549e16f025b6849"
+    },
+    {
+      "bytes": 64291,
+      "path": "data/internal_test/pfb/mathlib-001675-0000-44a4163100b306ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "44a4163100b306ffcd14d642edabf9d5c06c0383bab96cfd02dd2da5ba0e9a42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001676.json b/manifests/batches/mathlib/001676.json
index 23953413afa9aada227b11e9f6221472a87b981a..d77df98ee284ea57213f11f0935a6d45ae91b8e4 100644
--- a/manifests/batches/mathlib/001676.json
+++ b/manifests/batches/mathlib/001676.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001676",
   "batch_fingerprint": "5525decfd60009b489620dfc3e21daeea09aad05b18bbc49ad384232a6f40273",
   "evidence": {
@@ -1169,15 +1168,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001676-0000-1313697e41b65986.parquet",
-      "sha256": "1313697e41b6598693dfb0f560f6efd47dfdced2e1e19c6a26a92ff89ba34d81",
-      "bytes": 71280,
-      "rows": 14,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HahnSeries.order_smul_not_lt",
     "mathlib:HahnSeries.sub_coeff",
@@ -1193,5 +1184,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Addition.lean\",null,null,\"HahnSeries.sub_coeff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Addition.lean\",null,null,\"HahnSeries.support_add_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Addition.lean\",null,null,\"HahnSeries.support_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71280,
+      "path": "data/train/p28/mathlib-001676-0000-1313697e41b65986.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1313697e41b6598693dfb0f560f6efd47dfdced2e1e19c6a26a92ff89ba34d81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001677.json b/manifests/batches/mathlib/001677.json
index 428fb7f6a530626dffc78d88d56e7553ac91fe3c..75a17188fda418d26155714dbd02a6efa356d1e6 100644
--- a/manifests/batches/mathlib/001677.json
+++ b/manifests/batches/mathlib/001677.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001677",
   "batch_fingerprint": "84b0ec74f6aa3b3964e94bcf5f761ace5ed2fdfa9d851edc9fac78a5e8b08053",
   "evidence": {
@@ -3024,22 +3023,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001677-0000-2f8f0be79837d23a.parquet",
-      "sha256": "2f8f0be79837d23a59d5c1f960dcbe873b248ec9815b671859048d5bf8a4d505",
-      "bytes": 200115,
-      "rows": 47,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001677-0000-4fc5ba5fa3a2a595.parquet",
-      "sha256": "4fc5ba5fa3a2a5952e469a59997f0f1698854339fec322f369c889c1e06becde",
-      "bytes": 52969,
-      "rows": 3,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HahnModule.smul_coeff_left",
     "mathlib:HahnModule.smul_coeff_right",
@@ -3083,5 +3067,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Multiplication.lean\",null,null,\"HahnSeries.mul_single_zero_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Multiplication.lean\",null,null,\"HahnSeries.single_zero_mul_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Multiplication.lean\",null,null,\"HahnSeries.single_zero_mul_eq_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200115,
+      "path": "data/train/p49/mathlib-001677-0000-2f8f0be79837d23a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "2f8f0be79837d23a59d5c1f960dcbe873b248ec9815b671859048d5bf8a4d505"
+    },
+    {
+      "bytes": 52969,
+      "path": "data/dev/p49/mathlib-001677-0000-4fc5ba5fa3a2a595.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4fc5ba5fa3a2a5952e469a59997f0f1698854339fec322f369c889c1e06becde"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001678.json b/manifests/batches/mathlib/001678.json
index 76459f9c14bb389c91518cbe8357063f86617d16..667f557b12c1b8ef7f4fe01cb8592c90d7776b84 100644
--- a/manifests/batches/mathlib/001678.json
+++ b/manifests/batches/mathlib/001678.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001678",
   "batch_fingerprint": "6b2f7f87242fed3a483f9bef51070abe67d8d55115fd59778de49ebb3bc92944",
   "evidence": {
@@ -1402,22 +1401,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001678-0000-1e43a7b67aa7efc6.parquet",
-      "sha256": "1e43a7b67aa7efc65bb151717f0175f5bb7f4a85c01daa7cf1ff9c78f6fa0df7",
-      "bytes": 101829,
-      "rows": 27,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001678-0000-b677bc0f08119a2f.parquet",
-      "sha256": "b677bc0f08119a2f6164c015bcccbeda94b04e0bb44851a2fb32ba9b27e41682",
-      "bytes": 42327,
-      "rows": 3,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HahnSeries.SummableFamily.embDomain_image",
     "mathlib:HahnSeries.SummableFamily.embDomain_notin_range",
@@ -1445,5 +1429,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Summable.lean\",null,null,\"HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Summable.lean\",null,null,\"HahnSeries.SummableFamily.support_hsum_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/HahnSeries/Summable.lean\",null,null,\"HahnSeries.addVal_le_of_coeff_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101829,
+      "path": "data/train/p34/mathlib-001678-0000-1e43a7b67aa7efc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "1e43a7b67aa7efc65bb151717f0175f5bb7f4a85c01daa7cf1ff9c78f6fa0df7"
+    },
+    {
+      "bytes": 42327,
+      "path": "data/internal_test/p34/mathlib-001678-0000-b677bc0f08119a2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b677bc0f08119a2f6164c015bcccbeda94b04e0bb44851a2fb32ba9b27e41682"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001679.json b/manifests/batches/mathlib/001679.json
index c13bc2a2b64b79603c4ef7902331ea9bdbd0aac9..f10f0c79543e6a0dda0ef018c65fec3a9aa31f76 100644
--- a/manifests/batches/mathlib/001679.json
+++ b/manifests/batches/mathlib/001679.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001679",
   "batch_fingerprint": "5c362919bd1a6331794e2a20c058c88f17f94c4e6927a098b43a58586db59448",
   "evidence": {
@@ -500,7 +499,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001680.json b/manifests/batches/mathlib/001680.json
index 02743db9059733771869e79e610a039d2823efbe..8f7bb9b21c1de23b33ea36877826d5cafa1e39f7 100644
--- a/manifests/batches/mathlib/001680.json
+++ b/manifests/batches/mathlib/001680.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001680",
   "batch_fingerprint": "2e6e00b2181ea9c167be187475e9d10db45a90cf72fd2403d94a786595d14b71",
   "evidence": {
@@ -3620,29 +3619,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001680-0000-d7fe8d65baea1e36.parquet",
-      "sha256": "d7fe8d65baea1e3688ed801e6ca7e90ef695c3036963005f2d65a92aca014b0c",
-      "bytes": 254950,
-      "rows": 68,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001680-0000-207ef663044f172e.parquet",
-      "sha256": "207ef663044f172ee745c775cbcd858744a61f74671af9d953a408481cf7c21b",
-      "bytes": 43578,
-      "rows": 1,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001680-0000-691aa828eecb1d53.parquet",
-      "sha256": "691aa828eecb1d5366152532f95fbc793a8b50fea0f29fa78337d2666c243ac0",
-      "bytes": 61340,
-      "rows": 7,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.IsMaximal.coprime_of_ne",
     "mathlib:Ideal.IsMaximal.exists_inv",
@@ -3710,5 +3687,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Basic.lean\",null,null,\"Ideal.unit_mul_mem_iff_mem\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Basic.lean\",null,null,\"Ring.exists_not_isUnit_of_not_isField\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Basic.lean\",null,null,\"Ring.ne_bot_of_isMaximal_of_not_isField\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254950,
+      "path": "data/train/pcf/mathlib-001680-0000-d7fe8d65baea1e36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "d7fe8d65baea1e3688ed801e6ca7e90ef695c3036963005f2d65a92aca014b0c"
+    },
+    {
+      "bytes": 43578,
+      "path": "data/dev/pcf/mathlib-001680-0000-207ef663044f172e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "207ef663044f172ee745c775cbcd858744a61f74671af9d953a408481cf7c21b"
+    },
+    {
+      "bytes": 61340,
+      "path": "data/internal_test/pcf/mathlib-001680-0000-691aa828eecb1d53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "691aa828eecb1d5366152532f95fbc793a8b50fea0f29fa78337d2666c243ac0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001681.json b/manifests/batches/mathlib/001681.json
index 82d85ff80213aad8cd68e66a23a78394e4ae052c..871a2ab5c8e515bdecd81eb163d3d5175e1f0669 100644
--- a/manifests/batches/mathlib/001681.json
+++ b/manifests/batches/mathlib/001681.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001681",
   "batch_fingerprint": "2223b8e940e309db3fe7d0ba3b65fb396729a48128a0f5209fee1e0558730762",
   "evidence": {
@@ -204,15 +203,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001681-0000-9ff1ee65ff0bc2a7.parquet",
-      "sha256": "9ff1ee65ff0bc2a7976ef5e4ad5e257e3626a2b67939390fc31b80b7289a9a98",
-      "bytes": 76896,
-      "rows": 8,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.annihilator_quotient",
     "mathlib:Ideal.basisSpanSingleton_apply",
@@ -230,5 +221,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Colon.lean\",null,null,\"Submodule.annihilator_quotient\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Colon.lean\",null,null,\"Submodule.colon_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Colon.lean\",null,null,\"Submodule.colon_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76896,
+      "path": "data/train/pb6/mathlib-001681-0000-9ff1ee65ff0bc2a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9ff1ee65ff0bc2a7976ef5e4ad5e257e3626a2b67939390fc31b80b7289a9a98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001682.json b/manifests/batches/mathlib/001682.json
index f7a9bb9218f7fcac7ed6db50cde5f223fad28d09..93495e94da2d9e4aeb51db682fa1dd30fd08deb6 100644
--- a/manifests/batches/mathlib/001682.json
+++ b/manifests/batches/mathlib/001682.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001682",
   "batch_fingerprint": "77c6402d5764e6ed82de634fdf966fdef96a0f57575c4e7730373052d880cbbd",
   "evidence": {
@@ -876,29 +875,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001682-0000-c19f87ac0f2daf47.parquet",
-      "sha256": "c19f87ac0f2daf47fee94c69a87da1629013806e4be4c2d1689ce3082810795b",
-      "bytes": 192111,
-      "rows": 12,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001682-0000-08d3c945db77180c.parquet",
-      "sha256": "08d3c945db77180c3f119d1b5712df4bb5a430499ab3bb39d0e17971081d197f",
-      "bytes": 42049,
-      "rows": 1,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001682-0000-64177a9fe9dd1614.parquet",
-      "sha256": "64177a9fe9dd161409117ab3c1783451ccf91d60b08f3e9f8e9a29fc7ea8fbca",
-      "bytes": 44038,
-      "rows": 3,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.cotangentEquivIdeal_symm_apply",
     "mathlib:Ideal.map_toCotangent_ker",
@@ -916,5 +893,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Cotangent.lean\",null,null,\"LocalRing.finrank_cotangentSpace_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Cotangent.lean\",null,null,\"LocalRing.finrank_cotangentSpace_le_one_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Cotangent.lean\",null,null,\"LocalRing.subsingleton_cotangentSpace_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192111,
+      "path": "data/train/p4b/mathlib-001682-0000-c19f87ac0f2daf47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c19f87ac0f2daf47fee94c69a87da1629013806e4be4c2d1689ce3082810795b"
+    },
+    {
+      "bytes": 42049,
+      "path": "data/dev/p4b/mathlib-001682-0000-08d3c945db77180c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "08d3c945db77180c3f119d1b5712df4bb5a430499ab3bb39d0e17971081d197f"
+    },
+    {
+      "bytes": 44038,
+      "path": "data/internal_test/p4b/mathlib-001682-0000-64177a9fe9dd1614.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "64177a9fe9dd161409117ab3c1783451ccf91d60b08f3e9f8e9a29fc7ea8fbca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001683.json b/manifests/batches/mathlib/001683.json
index 41ee2d4d83178bbb5532ba8611657e65c0732cd0..ad49ffd3eaac4a6ebe5eb5e2390bd1657603da76 100644
--- a/manifests/batches/mathlib/001683.json
+++ b/manifests/batches/mathlib/001683.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001683",
   "batch_fingerprint": "868a551ab3d3c2c0b9535943c8d94926ac3b87fb0a939eb6df5f77c37fbd0ba1",
   "evidence": {
@@ -262,22 +261,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001683-0000-712c75a520893e0e.parquet",
-      "sha256": "712c75a520893e0e7593e62132f0ea0fb14e7cff84141eaf7987731fdeecc897",
-      "bytes": 57730,
-      "rows": 3,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001683-0000-0b976739e6ebf030.parquet",
-      "sha256": "0b976739e6ebf03045c8131a12c0fc78f39dc1eb278dee0b48d95226d550aea5",
-      "bytes": 32882,
-      "rows": 1,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.associatesEquivIsPrincipal_map_one",
     "mathlib:Ideal.associatesEquivIsPrincipal_map_zero",
@@ -287,5 +271,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/IsPrincipal.lean\",null,null,\"Ideal.associatesEquivIsPrincipal_map_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/IsPrincipal.lean\",null,null,\"Ideal.associatesEquivIsPrincipal_map_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/IsPrincipal.lean\",null,null,\"Ideal.associatesEquivIsPrincipal_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57730,
+      "path": "data/train/p9d/mathlib-001683-0000-712c75a520893e0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "712c75a520893e0e7593e62132f0ea0fb14e7cff84141eaf7987731fdeecc897"
+    },
+    {
+      "bytes": 32882,
+      "path": "data/internal_test/p9d/mathlib-001683-0000-0b976739e6ebf030.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0b976739e6ebf03045c8131a12c0fc78f39dc1eb278dee0b48d95226d550aea5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001684.json b/manifests/batches/mathlib/001684.json
index e541dc582b9d487af36d04cee837b676be7b019a..b6a8ebbec0065836dbe62d7c3066b53f3ed6627e 100644
--- a/manifests/batches/mathlib/001684.json
+++ b/manifests/batches/mathlib/001684.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001684",
   "batch_fingerprint": "8f9da066ccbabae874c902b3ea5b747bd58fe3a302560158253b054c4dee0ad2",
   "evidence": {
@@ -3555,29 +3554,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001684-0000-17ec118dc2022c75.parquet",
-      "sha256": "17ec118dc2022c756e79fbaaa295d6965ec3690d76983a8e7166dd634465be21",
-      "bytes": 274079,
-      "rows": 67,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001684-0000-8d3d95b98ed63f80.parquet",
-      "sha256": "8d3d95b98ed63f80466e14ad63a4b58a7d1d1becc5dc502ba55ca063d18cc649",
-      "bytes": 79734,
-      "rows": 4,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001684-0000-f40486a4edd8f0d4.parquet",
-      "sha256": "f40486a4edd8f0d48c6125acba68f40bc244e9bd778c0e8a03012116a8c3bf46",
-      "bytes": 48378,
-      "rows": 2,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.IsRadical.comap",
     "mathlib:Ideal.comap_bot_le_of_injective",
@@ -3647,5 +3624,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Maps.lean\",null,null,\"RingHom.mem_ker\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Maps.lean\",null,null,\"RingHom.not_one_mem_ker\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Maps.lean\",null,null,\"RingHom.sub_mem_ker_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274079,
+      "path": "data/train/pa1/mathlib-001684-0000-17ec118dc2022c75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "17ec118dc2022c756e79fbaaa295d6965ec3690d76983a8e7166dd634465be21"
+    },
+    {
+      "bytes": 79734,
+      "path": "data/dev/pa1/mathlib-001684-0000-8d3d95b98ed63f80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8d3d95b98ed63f80466e14ad63a4b58a7d1d1becc5dc502ba55ca063d18cc649"
+    },
+    {
+      "bytes": 48378,
+      "path": "data/internal_test/pa1/mathlib-001684-0000-f40486a4edd8f0d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f40486a4edd8f0d48c6125acba68f40bc244e9bd778c0e8a03012116a8c3bf46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001685.json b/manifests/batches/mathlib/001685.json
index 46077f567b9f214cbe83a23cce7d30be689f7cce..3a290d8a95ccfa264583d2603120ea43d6ec9f9a 100644
--- a/manifests/batches/mathlib/001685.json
+++ b/manifests/batches/mathlib/001685.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001685",
   "batch_fingerprint": "02c8077039d1fcc35e21f6d0a7a994914ca6a667e74566f2c62564ef425cbee2",
   "evidence": {
@@ -3510,29 +3509,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001685-0000-5f28262b5a8380be.parquet",
-      "sha256": "5f28262b5a8380beff81c83eea1902bdde7eb97dfe224129fa75e6171412a97a",
-      "bytes": 159845,
-      "rows": 33,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    },
-    {
-      "path": "data/dev/mathlib-001685-0000-40792aa75348a77a.parquet",
-      "sha256": "40792aa75348a77a1b8042565525a081058335b4563ade9a566fcfe9798e3725",
-      "bytes": 37081,
-      "rows": 1,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    },
-    {
-      "path": "data/internal_test/mathlib-001685-0000-98ac99a2859a4eca.parquet",
-      "sha256": "98ac99a2859a4ecabb66dec67b3f4a2ba1518288432cb86d17636e432edc3def",
-      "bytes": 62361,
-      "rows": 5,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.absNorm_bot",
     "mathlib:Ideal.absNorm_dvd_norm_of_mem",
@@ -3582,5 +3559,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Norm.lean\",null,null,\"Ideal.spanNorm_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Norm.lean\",null,null,\"Ideal.span_singleton_absNorm_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Norm.lean\",null,null,\"Submodule.cardQuot_eq_one_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159845,
+      "path": "data/train/p5c/mathlib-001685-0000-5f28262b5a8380be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "5f28262b5a8380beff81c83eea1902bdde7eb97dfe224129fa75e6171412a97a"
+    },
+    {
+      "bytes": 37081,
+      "path": "data/dev/p5c/mathlib-001685-0000-40792aa75348a77a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "40792aa75348a77a1b8042565525a081058335b4563ade9a566fcfe9798e3725"
+    },
+    {
+      "bytes": 62361,
+      "path": "data/internal_test/p5c/mathlib-001685-0000-98ac99a2859a4eca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "98ac99a2859a4ecabb66dec67b3f4a2ba1518288432cb86d17636e432edc3def"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001686.json b/manifests/batches/mathlib/001686.json
index de8cd6c41cff0abb341c9ba7381e4696e600fbaf..aa587424c3d0d9766798c221f96a60cf2dc25ce7 100644
--- a/manifests/batches/mathlib/001686.json
+++ b/manifests/batches/mathlib/001686.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001686",
   "batch_fingerprint": "cb95e0f593d940a9a919cdd9fe75c4dffe75c2f705a5c6e6408ad4547b9f27ce",
   "evidence": {
@@ -6724,22 +6723,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001686-0000-7d405ad7bc787fb0.parquet",
-      "sha256": "7d405ad7bc787fb0537cd4f01504ebb57ae10859fb574b269821f19b7b90317e",
-      "bytes": 378949,
-      "rows": 102,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    },
-    {
-      "path": "data/dev/mathlib-001686-0000-fa06c5f4c3f88ad2.parquet",
-      "sha256": "fa06c5f4c3f88ad2e4eba7d793e8aec034ea969931e05014c7cf7b18fd3a5ca4",
-      "bytes": 63940,
-      "rows": 6,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Associates.mk_ne_zero'",
     "mathlib:Ideal.IsPrime.mul_le",
@@ -6857,5 +6841,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Operations.lean\",null,null,\"Submodule.smul_comap_le_comap_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Operations.lean\",null,null,\"Submodule.smul_induction_on'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Operations.lean\",null,null,\"Submodule.span_smul_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378949,
+      "path": "data/train/p4d/mathlib-001686-0000-7d405ad7bc787fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "7d405ad7bc787fb0537cd4f01504ebb57ae10859fb574b269821f19b7b90317e"
+    },
+    {
+      "bytes": 63940,
+      "path": "data/dev/p4d/mathlib-001686-0000-fa06c5f4c3f88ad2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fa06c5f4c3f88ad2e4eba7d793e8aec034ea969931e05014c7cf7b18fd3a5ca4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001687.json b/manifests/batches/mathlib/001687.json
index 72ab7804b02e0f1673a80af7871619d9cd93e945..ff727d78fb52f67ef47826a6ff253a8472e0c1dc 100644
--- a/manifests/batches/mathlib/001687.json
+++ b/manifests/batches/mathlib/001687.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001687",
   "batch_fingerprint": "fadf146ca008618720b4a32983d0844feb6c8bf9313a9a2cb8b3b1f2c3c1ed0c",
   "evidence": {
@@ -1486,15 +1485,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001687-0000-6cab6d4ebc251490.parquet",
-      "sha256": "6cab6d4ebc25149071832d1a907324edf91c96203cde273bb9f648cf576dd4db",
-      "bytes": 75179,
-      "rows": 16,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.ideal_prod_eq",
     "mathlib:Ideal.isPrime_ideal_prod_top'",
@@ -1510,5 +1501,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Prod.lean\",null,null,\"Ideal.map_prodComm_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Prod.lean\",null,null,\"Ideal.prod.ext_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Ideal/Prod.lean\",null,null,\"Ideal.prod_top_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75179,
+      "path": "data/train/p5c/mathlib-001687-0000-6cab6d4ebc251490.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6cab6d4ebc25149071832d1a907324edf91c96203cde273bb9f648cf576dd4db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001688.json b/manifests/batches/mathlib/001688.json
index 6110e932fcf38951af6afd044b71ab5d88afa1e9..444976249ee214ece05bfd2acb3e41807c3fdcd3 100644
--- a/manifests/batches/mathlib/001688.json
+++ b/manifests/batches/mathlib/001688.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001688",
   "batch_fingerprint": "48624a8bc9a6d16f2bed70b3b9ddf7acbb801f108ea437424a677c070d4fab45",
   "evidence": {
@@ -2168,43 +2167,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001688-0000-64706184e6f4d029.parquet",
-      "sha256": "64706184e6f4d029463fd8447be7cfd298684499cbd596c963a5fd76c158f42e",
-      "bytes": 213482,
-      "rows": 8,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/train/mathlib-001688-0001-a703807856c2616d.parquet",
-      "sha256": "a703807856c2616d20f582f1291fe49bc29459e191c94c3dcef996bc000d378e",
-      "bytes": 397583,
-      "rows": 40,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/train/mathlib-001688-0002-a622d5b31d9d85c4.parquet",
-      "sha256": "a622d5b31d9d85c493bc3883de48b6980ab93394a6253d30768e046e32aaf1de",
-      "bytes": 71546,
-      "rows": 20,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/dev/mathlib-001688-0000-6cdfa451332cc592.parquet",
-      "sha256": "6cdfa451332cc592d81a859b437001b2ae87efebf777fee57b7c7756a4870fc1",
-      "bytes": 153790,
-      "rows": 5,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001688-0000-accca56ace24280f.parquet",
-      "sha256": "accca56ace24280ffd32ed76c97b626514dac9c52bda8f53fcd9c904be39498a",
-      "bytes": 74791,
-      "rows": 14,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DoubleQuot.ker_quotLeftToQuotSup",
     "mathlib:DoubleQuot.ker_quotQuotMk",
@@ -2290,5 +2253,42 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Int/Basic.lean\",null,null,\"Int.exists_prime_and_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Int/Basic.lean\",null,null,\"Int.gcd_ne_one_iff_gcd_mul_right_ne_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Int/Basic.lean\",null,null,\"Int.span_natAbs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213482,
+      "path": "data/train/p6e/mathlib-001688-0000-64706184e6f4d029.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "64706184e6f4d029463fd8447be7cfd298684499cbd596c963a5fd76c158f42e"
+    },
+    {
+      "bytes": 397583,
+      "path": "data/train/p6e/mathlib-001688-0001-a703807856c2616d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "a703807856c2616d20f582f1291fe49bc29459e191c94c3dcef996bc000d378e"
+    },
+    {
+      "bytes": 71546,
+      "path": "data/train/p6e/mathlib-001688-0002-a622d5b31d9d85c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a622d5b31d9d85c493bc3883de48b6980ab93394a6253d30768e046e32aaf1de"
+    },
+    {
+      "bytes": 153790,
+      "path": "data/dev/p6e/mathlib-001688-0000-6cdfa451332cc592.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6cdfa451332cc592d81a859b437001b2ae87efebf777fee57b7c7756a4870fc1"
+    },
+    {
+      "bytes": 74791,
+      "path": "data/internal_test/p6e/mathlib-001688-0000-accca56ace24280f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "accca56ace24280ffd32ed76c97b626514dac9c52bda8f53fcd9c904be39498a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001689.json b/manifests/batches/mathlib/001689.json
index 540748e8cbf7351454dd6b2d1297791955d60d8d..37e78b7973fac43685832902bfd024c7f815df2e 100644
--- a/manifests/batches/mathlib/001689.json
+++ b/manifests/batches/mathlib/001689.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001689",
   "batch_fingerprint": "b3ef917cbabf25cc7c705d77d27e33dcc2467a569dd3df5a944715749a2d24ac",
   "evidence": {
@@ -4721,19 +4720,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001689-0000-5c76e1005a44ed26.parquet",
-      "sha256": "5c76e1005a44ed267755009566ae41a0a0b08aaa45ade59f20fae945cbd93785",
-      "bytes": 50114,
-      "rows": 2,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finite.isField_of_domain"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IntegralDomain.lean\",null,null,\"Finite.isField_of_domain\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50114,
+      "path": "data/train/p71/mathlib-001689-0000-5c76e1005a44ed26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5c76e1005a44ed267755009566ae41a0a0b08aaa45ade59f20fae945cbd93785"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001690.json b/manifests/batches/mathlib/001690.json
index 962291c8d921703066789c18570c4397bbc5042b..cecea9f70fee33ef048f1cf0eb0364fcc597b9a5 100644
--- a/manifests/batches/mathlib/001690.json
+++ b/manifests/batches/mathlib/001690.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001690",
   "batch_fingerprint": "49535405c4acce8efdf9329260ca523962dd09011b199286099402458c4b705c",
   "evidence": {
@@ -2334,15 +2333,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001690-0000-bc65ccbbc27ccb78.parquet",
-      "sha256": "bc65ccbbc27ccb78d621a771d7176d1e0fda11ddf76bcec33f2d48c25a2664c6",
-      "bytes": 71322,
-      "rows": 4,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsIntegralClosure.of_isIntegrallyClosedIn",
     "mathlib:isIntegrallyClosed_iff"
@@ -2350,5 +2341,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IntegrallyClosed.lean\",null,null,\"IsIntegralClosure.of_isIntegrallyClosedIn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IntegrallyClosed.lean\",null,null,\"isIntegrallyClosed_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71322,
+      "path": "data/train/p81/mathlib-001690-0000-bc65ccbbc27ccb78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bc65ccbbc27ccb78d621a771d7176d1e0fda11ddf76bcec33f2d48c25a2664c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001691.json b/manifests/batches/mathlib/001691.json
index 613c57d3b0a2471fa1b6dee82030d4b0e8a42348..b186c3e2964f68e8f325edcb772dd9e679a6da0c 100644
--- a/manifests/batches/mathlib/001691.json
+++ b/manifests/batches/mathlib/001691.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001691",
   "batch_fingerprint": "851292dc3b7d98385e1f19da6f0b3fdb0c3cd0aa2d7c611361bbb8924d855387",
   "evidence": {
@@ -2486,22 +2485,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001691-0000-2f3c9adfecf9c646.parquet",
-      "sha256": "2f3c9adfecf9c6464ea8f8db5c33d461272d68ec56ea23dca64d7dc36521daeb",
-      "bytes": 215434,
-      "rows": 55,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    },
-    {
-      "path": "data/internal_test/mathlib-001691-0000-49fd8b04946f8ec9.parquet",
-      "sha256": "49fd8b04946f8ec9eff8d49329613fb25585055d4b9cd18625d747fdfa5736f2",
-      "bytes": 82951,
-      "rows": 12,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AdjoinRoot.isAdjoinRoot_root_eq_root",
     "mathlib:Algebra.adjoin.powerBasis'_minpoly_gen",
@@ -2583,5 +2567,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IsAdjoinRoot.lean\",null,null,\"IsAdjoinRootMonic.modByMonicHom_root\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IsAdjoinRoot.lean\",null,null,\"IsAdjoinRootMonic.modByMonicHom_root_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/IsAdjoinRoot.lean\",null,null,\"IsAdjoinRootMonic.modByMonic_repr_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215434,
+      "path": "data/train/p16/mathlib-001691-0000-2f3c9adfecf9c646.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "2f3c9adfecf9c6464ea8f8db5c33d461272d68ec56ea23dca64d7dc36521daeb"
+    },
+    {
+      "bytes": 82951,
+      "path": "data/internal_test/p16/mathlib-001691-0000-49fd8b04946f8ec9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "49fd8b04946f8ec9eff8d49329613fb25585055d4b9cd18625d747fdfa5736f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001692.json b/manifests/batches/mathlib/001692.json
index 8faa4e4e87015cc9d5e0c961deb2ec594011d3b4..b7ab6b204e4b706bd2ceaf7387531e461f93b787 100644
--- a/manifests/batches/mathlib/001692.json
+++ b/manifests/batches/mathlib/001692.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001692",
   "batch_fingerprint": "f4235eb91f126ec729eef5bc0c7e03a102cd2eff1e5c8bfa0d3e2e916ebe83e7",
   "evidence": {
@@ -4907,15 +4906,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001692-0000-06fb89b9fa0a25f1.parquet",
-      "sha256": "06fb89b9fa0a25f127f428831d9ed29b5076c4ad9350b8bb8267b1a83dcba8b0",
-      "bytes": 73124,
-      "rows": 13,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.IsLocal.mem_jacobson_or_exists_inv",
     "mathlib:Ideal.exists_mul_sub_mem_of_sub_one_mem_jacobson",
@@ -4929,5 +4920,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/JacobsonIdeal.lean\",null,null,\"Ideal.isPrimary_of_isMaximal_radical\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/JacobsonIdeal.lean\",null,null,\"Ideal.isUnit_of_sub_one_mem_jacobson_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/JacobsonIdeal.lean\",null,null,\"Ideal.jacobson_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73124,
+      "path": "data/train/pc7/mathlib-001692-0000-06fb89b9fa0a25f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "06fb89b9fa0a25f127f428831d9ed29b5076c4ad9350b8bb8267b1a83dcba8b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001693.json b/manifests/batches/mathlib/001693.json
index 568652e842ef9afc90f2de1184bfbccdd89c08eb..5f6737bef97e045ab4f042d269820f79d503be96 100644
--- a/manifests/batches/mathlib/001693.json
+++ b/manifests/batches/mathlib/001693.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001693",
   "batch_fingerprint": "edbbb373058c66674b3821696dd07bbd591bf61273aed5da8b0a875098c8ed0a",
   "evidence": {
@@ -2988,15 +2987,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001693-0000-ed80898572c9b246.parquet",
-      "sha256": "ed80898572c9b246a53eab1362dec3a30b937d5fc5dcd73c7645b7eb4f8a2ecf",
-      "bytes": 84741,
-      "rows": 4,
-      "revision": "36646262e6ae3897494c4dbe02e42ca44a513167"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:KaehlerDifferential.mvPolynomialBasis_repr_D_X",
     "mathlib:KaehlerDifferential.mvPolynomialBasis_repr_symm_single",
@@ -3006,5 +2997,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Kaehler/Polynomial.lean\",null,null,\"KaehlerDifferential.mvPolynomialBasis_repr_D_X\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Kaehler/Polynomial.lean\",null,null,\"KaehlerDifferential.mvPolynomialBasis_repr_symm_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Kaehler/Polynomial.lean\",null,null,\"KaehlerDifferential.polynomial_D_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84741,
+      "path": "data/train/p27/mathlib-001693-0000-ed80898572c9b246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ed80898572c9b246a53eab1362dec3a30b937d5fc5dcd73c7645b7eb4f8a2ecf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001694.json b/manifests/batches/mathlib/001694.json
index 7972db57a5345a882fca014d98c1afb140099649..babb9cca94514401e6d6194b8caabbbfea46dfa5 100644
--- a/manifests/batches/mathlib/001694.json
+++ b/manifests/batches/mathlib/001694.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001694",
   "batch_fingerprint": "1eac85bd17afec95d71873276b743bb829f84962eaa52e61bb875ffde4f94d20",
   "evidence": {
@@ -1742,15 +1741,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001694-0000-cc768fd88f6c1a3b.parquet",
-      "sha256": "cc768fd88f6c1a3b540501e4da60c206bfeb5adae9049e4f34337b0bcaa6dc9d",
-      "bytes": 77273,
-      "rows": 13,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LaurentSeries.coeff_coe_powerSeries",
     "mathlib:LaurentSeries.ofPowerSeries_powerSeriesPart",
@@ -1772,5 +1763,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/LaurentSeries.lean\",null,null,\"RatFunc.coe_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/LaurentSeries.lean\",null,null,\"RatFunc.coe_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/LaurentSeries.lean\",null,null,\"RatFunc.single_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77273,
+      "path": "data/train/p0b/mathlib-001694-0000-cc768fd88f6c1a3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cc768fd88f6c1a3b540501e4da60c206bfeb5adae9049e4f34337b0bcaa6dc9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001695.json b/manifests/batches/mathlib/001695.json
index fcda17bf870d3617e671869b1ff179dee18aa344..b709ee55bf459231843fb6a03092ec71558b8aeb 100644
--- a/manifests/batches/mathlib/001695.json
+++ b/manifests/batches/mathlib/001695.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001695",
   "batch_fingerprint": "b3ddb1ae257fe05240d3f06c2329a9a3620396cc792530b742793b6a4b7d2cac",
   "evidence": {
@@ -2566,22 +2565,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001695-0000-bd787f0eb5cf766f.parquet",
-      "sha256": "bd787f0eb5cf766f3e169de27e49858c238902f236e8f83c6f57a27deb0984ec",
-      "bytes": 231299,
-      "rows": 41,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001695-0000-4230cc59bffa67d7.parquet",
-      "sha256": "4230cc59bffa67d715ea9f0fa404e00479ceb634f1923c446b8bb7a1cb425c59",
-      "bytes": 98721,
-      "rows": 18,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Localization.map_isUnit_of_le",
     "mathlib:Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField",
@@ -2607,5 +2591,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/LocalProperties.lean\",null,null,\"surjective_ofLocalizationSpan\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/AsSubring.lean\",null,null,\"Localization.map_isUnit_of_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/AsSubring.lean\",null,null,\"Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231299,
+      "path": "data/train/pf4/mathlib-001695-0000-bd787f0eb5cf766f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "bd787f0eb5cf766f3e169de27e49858c238902f236e8f83c6f57a27deb0984ec"
+    },
+    {
+      "bytes": 98721,
+      "path": "data/internal_test/pf4/mathlib-001695-0000-4230cc59bffa67d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4230cc59bffa67d715ea9f0fa404e00479ceb634f1923c446b8bb7a1cb425c59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001696.json b/manifests/batches/mathlib/001696.json
index aa4f97bb779664dedfadbda1a98b45e80c069219..0487a0c0744543f810469c5d0eb47e4cab69946b 100644
--- a/manifests/batches/mathlib/001696.json
+++ b/manifests/batches/mathlib/001696.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001696",
   "batch_fingerprint": "4093ecb7126b956907ba11a59fb5564718b2156c44457fc391669c256e4a2a13",
   "evidence": {
@@ -392,22 +391,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001696-0000-4cd293fc9b06327b.parquet",
-      "sha256": "4cd293fc9b06327b0320ff8a14d6a74a84a06f08445f8215c2c0f67753912110",
-      "bytes": 90379,
-      "rows": 18,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    },
-    {
-      "path": "data/internal_test/mathlib-001696-0000-1c0883833f21b22a.parquet",
-      "sha256": "1c0883833f21b22a0344ca0e667aa3088c0e14455f274b756d0857e6afc5e8c5",
-      "bytes": 58495,
-      "rows": 1,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.AtPrime.comap_maximalIdeal",
     "mathlib:IsLocalization.AtPrime.localRing",
@@ -421,5 +405,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/AtPrime.lean\",null,null,\"IsLocalization.AtPrime.mk'_mem_maximal_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/AtPrime.lean\",null,null,\"IsLocalization.AtPrime.to_map_mem_maximal_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/AtPrime.lean\",null,null,\"Localization.le_comap_primeCompl_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90379,
+      "path": "data/train/p8b/mathlib-001696-0000-4cd293fc9b06327b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4cd293fc9b06327b0320ff8a14d6a74a84a06f08445f8215c2c0f67753912110"
+    },
+    {
+      "bytes": 58495,
+      "path": "data/internal_test/p8b/mathlib-001696-0000-1c0883833f21b22a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1c0883833f21b22a0344ca0e667aa3088c0e14455f274b756d0857e6afc5e8c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001697.json b/manifests/batches/mathlib/001697.json
index 90cc15c08799fd4ded3d2e03a322a974fce64781..22abe058e265f911d49fa750eb25a22042b80fac 100644
--- a/manifests/batches/mathlib/001697.json
+++ b/manifests/batches/mathlib/001697.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001697",
   "batch_fingerprint": "f615fea1440a3e42e47d778690fbb2ca160a6a071d1fb60ba7f96ffcfa28579b",
   "evidence": {
@@ -888,15 +887,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001697-0000-7cf4aef204b57f1a.parquet",
-      "sha256": "7cf4aef204b57f1adea5bb4fc99698deb3f7bb1d016d37a7fe245041ecf95f97",
-      "bytes": 91977,
-      "rows": 15,
-      "revision": "d60e29d6cee3c6b2c6967d9f9c90939917c38808"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.Away.mul_invSelf",
     "mathlib:IsLocalization.Away.sec_spec",
@@ -912,5 +903,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Away/Basic.lean\",null,null,\"selfZPow_neg_natCast\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Away/Basic.lean\",null,null,\"selfZPow_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/BaseChange.lean\",null,null,\"isLocalizedModule_iff_isBaseChange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91977,
+      "path": "data/train/pb5/mathlib-001697-0000-7cf4aef204b57f1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7cf4aef204b57f1adea5bb4fc99698deb3f7bb1d016d37a7fe245041ecf95f97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001698.json b/manifests/batches/mathlib/001698.json
index c73684bd61701e4d28d9e78ce778d4a806874cdc..271e90a6fcc536068bc86bc93554a80c5e9536d6 100644
--- a/manifests/batches/mathlib/001698.json
+++ b/manifests/batches/mathlib/001698.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001698",
   "batch_fingerprint": "c08127588cfce8a0bb86a63978a97d731b1a2ee9d0e689fb4810b487dd72495e",
   "evidence": {
@@ -4305,7 +4304,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001699.json b/manifests/batches/mathlib/001699.json
index 24762499ff99559a81d3f8b9ea5576cc6f622e19..703004024c7a676fb390ac35214bd78b085ebe39 100644
--- a/manifests/batches/mathlib/001699.json
+++ b/manifests/batches/mathlib/001699.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001699",
   "batch_fingerprint": "bfec49d385c3c05117626ad8d4d651a1ae665ac389b804dfda2c8e7f653841a2",
   "evidence": {
@@ -806,15 +805,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001699-0000-addf7343dc31c338.parquet",
-      "sha256": "addf7343dc31c338fde890d192e97aee40f5becf16db40c3c828c063f56223bb",
-      "bytes": 90793,
-      "rows": 11,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:FractionRing.mk_eq_div",
     "mathlib:IsFractionRing.div_surjective",
@@ -828,5 +819,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/FractionRing.lean\",null,null,\"IsFractionRing.div_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/FractionRing.lean\",null,null,\"IsFractionRing.lift_mk'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/FractionRing.lean\",null,null,\"IsFractionRing.mul_inv_cancel\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90793,
+      "path": "data/train/p6a/mathlib-001699-0000-addf7343dc31c338.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "addf7343dc31c338fde890d192e97aee40f5becf16db40c3c828c063f56223bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001700.json b/manifests/batches/mathlib/001700.json
index 0ef82dc62c0ab92228bc1805c4a51763dfe76dd6..3984281b97a38e78e7dc3c53b9357c1052a5421e 100644
--- a/manifests/batches/mathlib/001700.json
+++ b/manifests/batches/mathlib/001700.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001700",
   "batch_fingerprint": "e96b131532d2d65d9901a57e1b366f12ffbf3af33b82fcaf14b063196b45dd59",
   "evidence": {
@@ -999,22 +998,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001700-0000-e06893f49ba3fb55.parquet",
-      "sha256": "e06893f49ba3fb551ef71df7b6055a52606b7af2f0a1e2178fdb77dd2ef6ed0b",
-      "bytes": 79452,
-      "rows": 13,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001700-0000-f00a29619117412b.parquet",
-      "sha256": "f00a29619117412b71465223cf081ecca31db3c270ec369aa635676afe8bcbec",
-      "bytes": 61454,
-      "rows": 3,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.bot_lt_comap_prime",
     "mathlib:IsLocalization.exist_integer_multiples_of_finite",
@@ -1030,5 +1014,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Integer.lean\",null,null,\"IsLocalization.exist_integer_multiples_of_finite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Integer.lean\",null,null,\"IsLocalization.exists_integer_multiple\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Integer.lean\",null,null,\"IsLocalization.isInteger_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79452,
+      "path": "data/train/p21/mathlib-001700-0000-e06893f49ba3fb55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e06893f49ba3fb551ef71df7b6055a52606b7af2f0a1e2178fdb77dd2ef6ed0b"
+    },
+    {
+      "bytes": 61454,
+      "path": "data/dev/p21/mathlib-001700-0000-f00a29619117412b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f00a29619117412b71465223cf081ecca31db3c270ec369aa635676afe8bcbec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001701.json b/manifests/batches/mathlib/001701.json
index 43db9915f7d089be32d0c923c6a84f3a94ceff41..c6d5cd606ee03f688babf491e08ea2a126ffc53a 100644
--- a/manifests/batches/mathlib/001701.json
+++ b/manifests/batches/mathlib/001701.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001701",
   "batch_fingerprint": "64abc4c9d908e7ca450230d89661845e582c216a9647f21a4616d9a5d3f95882",
   "evidence": {
@@ -1715,22 +1714,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001701-0000-800d104ef9d29326.parquet",
-      "sha256": "800d104ef9d293261f8ea72bc7bcb43883d40591b218cd31c86e9c9ba19a1b95",
-      "bytes": 116660,
-      "rows": 29,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001701-0000-7d61737667d3f2b1.parquet",
-      "sha256": "7d61737667d3f2b176400a602bdf7a767e57dbf2e09fc60c0aac7319baa87652",
-      "bytes": 62074,
-      "rows": 6,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.coeffIntegerNormalization_mem_support",
     "mathlib:IsLocalization.coeffIntegerNormalization_of_not_mem_support",
@@ -1760,5 +1744,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/InvSubmonoid.lean\",null,null,\"IsLocalization.submonoid_map_le_is_unit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/InvSubmonoid.lean\",null,null,\"IsLocalization.surj''\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/InvSubmonoid.lean\",null,null,\"IsLocalization.toInvSubmonoid_eq_mk'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116660,
+      "path": "data/train/p99/mathlib-001701-0000-800d104ef9d29326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "800d104ef9d293261f8ea72bc7bcb43883d40591b218cd31c86e9c9ba19a1b95"
+    },
+    {
+      "bytes": 62074,
+      "path": "data/internal_test/p99/mathlib-001701-0000-7d61737667d3f2b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7d61737667d3f2b176400a602bdf7a767e57dbf2e09fc60c0aac7319baa87652"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001702.json b/manifests/batches/mathlib/001702.json
index ae2f63daf64d90d90b3f0583b88a9f4d9a13245a..1a4f71eb25dbce0cf1c43cc9edc58a404d897f63 100644
--- a/manifests/batches/mathlib/001702.json
+++ b/manifests/batches/mathlib/001702.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001702",
   "batch_fingerprint": "104edf3fd4346ca7a25ea49ce04a0680b08d4ea837b89c443ebb8fc3baa8afa0",
   "evidence": {
@@ -1394,22 +1393,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001702-0000-6d723e05a6dfd252.parquet",
-      "sha256": "6d723e05a6dfd252b521e5d0b801f5690f39164a096e46411bde389def24d192",
-      "bytes": 109794,
-      "rows": 14,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001702-0000-33acf0f256f57164.parquet",
-      "sha256": "33acf0f256f57164fc252cd504db99d0d9c4af706f4f510b243d461e509457f7",
-      "bytes": 57252,
-      "rows": 7,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Basis.ofIsLocalizedModule_apply",
     "mathlib:IsLocalization.isLocalization_isLocalization_atPrime_isLocalization",
@@ -1425,5 +1409,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Module.lean\",null,null,\"Basis.ofIsLocalizedModule_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Module.lean\",null,null,\"LinearIndependent.localization\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/Module.lean\",null,null,\"span_eq_top_of_isLocalizedModule\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109794,
+      "path": "data/train/pf6/mathlib-001702-0000-6d723e05a6dfd252.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6d723e05a6dfd252b521e5d0b801f5690f39164a096e46411bde389def24d192"
+    },
+    {
+      "bytes": 57252,
+      "path": "data/internal_test/pf6/mathlib-001702-0000-33acf0f256f57164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "33acf0f256f57164fc252cd504db99d0d9c4af706f4f510b243d461e509457f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001703.json b/manifests/batches/mathlib/001703.json
index 5af801d0b92fb033b3f523bff8cef878fb69f143..500e8ad9f8dbcf22ea797382e5d377398008dda0 100644
--- a/manifests/batches/mathlib/001703.json
+++ b/manifests/batches/mathlib/001703.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001703",
   "batch_fingerprint": "27785c82ea4f974639ef406b47035b337a2297bfd53fe73f1e74da20abb4ceac",
   "evidence": {
@@ -402,22 +401,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001703-0000-dd7e77a97aa87ffd.parquet",
-      "sha256": "dd7e77a97aa87ffd04ed51213a15c223bdea1717ec79c166c81f8887961c65ca",
-      "bytes": 110149,
-      "rows": 21,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001703-0000-aa723e358d605d9d.parquet",
-      "sha256": "aa723e358d605d9ddf39be491a2b36010f79d06c01c7a736f168ca6d4d056075",
-      "bytes": 56026,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.discr_localizationLocalization",
     "mathlib:Algebra.traceMatrix_localizationLocalization",
@@ -433,5 +417,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/NumDen.lean\",null,null,\"IsFractionRing.exists_reduced_fraction\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/NumDen.lean\",null,null,\"IsFractionRing.isInteger_of_isUnit_den\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Localization/NumDen.lean\",null,null,\"IsFractionRing.mk'_num_den'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110149,
+      "path": "data/train/p9e/mathlib-001703-0000-dd7e77a97aa87ffd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "dd7e77a97aa87ffd04ed51213a15c223bdea1717ec79c166c81f8887961c65ca"
+    },
+    {
+      "bytes": 56026,
+      "path": "data/internal_test/p9e/mathlib-001703-0000-aa723e358d605d9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aa723e358d605d9ddf39be491a2b36010f79d06c01c7a736f168ca6d4d056075"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001704.json b/manifests/batches/mathlib/001704.json
index b3bc2531ff4d1453f8af2137fc11a4390f5ce80b..f4fa46817f5e0279610ba75c903b3ed0cb0e4333 100644
--- a/manifests/batches/mathlib/001704.json
+++ b/manifests/batches/mathlib/001704.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001704",
   "batch_fingerprint": "536ea6270eab71479949b48731b89cdbe938814ce8c3c232d9d70bc18cb95aa4",
   "evidence": {
@@ -868,22 +867,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001704-0000-8f1d02e7e4eb2d1e.parquet",
-      "sha256": "8f1d02e7e4eb2d1e17bc8b76f4a2c03c3a2ce8b128bd27044b88bfb84d5540dd",
-      "bytes": 93577,
-      "rows": 18,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001704-0000-d107e298fae5a97b.parquet",
-      "sha256": "d107e298fae5a97b641d9e968a7ed983c297889d72b04411473c6de7c0f07df1",
-      "bytes": 47424,
-      "rows": 4,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.coeSubmodule_bot",
     "mathlib:IsLocalization.coeSubmodule_span",
@@ -907,5 +891,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MatrixAlgebra.lean\",null,null,\"MatrixEquivTensor.invFun_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MatrixAlgebra.lean\",null,null,\"MatrixEquivTensor.invFun_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MatrixAlgebra.lean\",null,null,\"MatrixEquivTensor.right_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93577,
+      "path": "data/train/p50/mathlib-001704-0000-8f1d02e7e4eb2d1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8f1d02e7e4eb2d1e17bc8b76f4a2c03c3a2ce8b128bd27044b88bfb84d5540dd"
+    },
+    {
+      "bytes": 47424,
+      "path": "data/internal_test/p50/mathlib-001704-0000-d107e298fae5a97b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d107e298fae5a97b641d9e968a7ed983c297889d72b04411473c6de7c0f07df1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001705.json b/manifests/batches/mathlib/001705.json
index ab5648a8e90f2c2a712091ae8e21d248a827f103..e6bfa732cba725f0fcd4af09cfb373c5ab00d834 100644
--- a/manifests/batches/mathlib/001705.json
+++ b/manifests/batches/mathlib/001705.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001705",
   "batch_fingerprint": "a584f6c6d89d1f64d1280136093659c0f065e163377807c750ed0bc882fec4b8",
   "evidence": {
@@ -2471,22 +2470,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001705-0000-160cc676541f343a.parquet",
-      "sha256": "160cc676541f343aafbfa1554e30c3b1f9076d4568f659bf4922bda77381d9ef",
-      "bytes": 164116,
-      "rows": 43,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001705-0000-18c19f62364a2dd6.parquet",
-      "sha256": "18c19f62364a2dd6340b1579f06d673ba907f992e972b6f91d40625c7fb1f112",
-      "bytes": 38978,
-      "rows": 3,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.mapRange_eq_map",
     "mathlib:MvPolynomial.mem_restrictDegree",
@@ -2536,5 +2520,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Basic.lean\",null,null,\"MvPolynomial.mem_restrictDegree\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Basic.lean\",null,null,\"MvPolynomial.mem_restrictDegree_iff_sup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Basic.lean\",null,null,\"MvPolynomial.mem_restrictTotalDegree\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164116,
+      "path": "data/train/p85/mathlib-001705-0000-160cc676541f343a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "160cc676541f343aafbfa1554e30c3b1f9076d4568f659bf4922bda77381d9ef"
+    },
+    {
+      "bytes": 38978,
+      "path": "data/internal_test/p85/mathlib-001705-0000-18c19f62364a2dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "18c19f62364a2dd6340b1579f06d673ba907f992e972b6f91d40625c7fb1f112"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001706.json b/manifests/batches/mathlib/001706.json
index 003f79b5291a2c5e74ae7b754863cc857249054c..868a7f1b4d1a86bc35d054e8809128c59ba22bc4 100644
--- a/manifests/batches/mathlib/001706.json
+++ b/manifests/batches/mathlib/001706.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001706",
   "batch_fingerprint": "d6b6e3c9bf7d7f52e5ab653e1a5ee6ccfa2164ddca27bd9beedcbaf18224872e",
   "evidence": {
@@ -1802,29 +1801,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001706-0000-3ed74b39b0233b8b.parquet",
-      "sha256": "3ed74b39b0233b8b8e406a63b24aedf0ec6d719123eb62a4314b24900e64f970",
-      "bytes": 209367,
-      "rows": 51,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001706-0000-0aaf8b78909d569a.parquet",
-      "sha256": "0aaf8b78909d569a0a6ba29011268b8ad113bb4cbc213fa03641d45163396038",
-      "bytes": 49280,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001706-0000-81ebfd71bd3accec.parquet",
-      "sha256": "81ebfd71bd3acceca3d04a9ee615964425ae9590a54331f75f19aaddd12bd089",
-      "bytes": 48281,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.IsHomogeneous.C_mul",
     "mathlib:MvPolynomial.IsHomogeneous.coeff_eq_zero",
@@ -1876,5 +1853,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Ideal.lean\",null,null,\"MvPolynomial.mem_ideal_span_X_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Ideal.lean\",null,null,\"MvPolynomial.mem_ideal_span_monomial_image\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Ideal.lean\",null,null,\"MvPolynomial.mem_ideal_span_monomial_image_iff_dvd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209367,
+      "path": "data/train/p8c/mathlib-001706-0000-3ed74b39b0233b8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "3ed74b39b0233b8b8e406a63b24aedf0ec6d719123eb62a4314b24900e64f970"
+    },
+    {
+      "bytes": 49280,
+      "path": "data/dev/p8c/mathlib-001706-0000-0aaf8b78909d569a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0aaf8b78909d569a0a6ba29011268b8ad113bb4cbc213fa03641d45163396038"
+    },
+    {
+      "bytes": 48281,
+      "path": "data/internal_test/p8c/mathlib-001706-0000-81ebfd71bd3accec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "81ebfd71bd3acceca3d04a9ee615964425ae9590a54331f75f19aaddd12bd089"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001707.json b/manifests/batches/mathlib/001707.json
index fce21eec2d10854e4100bb237d361b6f579f1669..21b1651e87df99b0cb1caf9a47a945ecc4b81431 100644
--- a/manifests/batches/mathlib/001707.json
+++ b/manifests/batches/mathlib/001707.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001707",
   "batch_fingerprint": "1cf81aad8c96b538f7e847182aa35fed324457a7e0d1d3e495919b6dfd1d235c",
   "evidence": {
@@ -1157,22 +1156,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001707-0000-c3c6afcab652966b.parquet",
-      "sha256": "c3c6afcab652966b8199b7b556772fc54e092c21bf950246b714597ec070bf7c",
-      "bytes": 98685,
-      "rows": 14,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001707-0000-0c41299cdff3897e.parquet",
-      "sha256": "0c41299cdff3897e29a5ae9dafd4098c67e016622948ee83ff8776b13e429e62",
-      "bytes": 80272,
-      "rows": 9,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalization.Away.auxHom_auxInv",
     "mathlib:MvPolynomial.NewtonIdentities.disjoint_filter_pairs_lt_filter_pairs_eq",
@@ -1200,5 +1184,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/NewtonIdentities.lean\",null,null,\"MvPolynomial.NewtonIdentities.pairMap_of_snd_nmem_fst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/NewtonIdentities.lean\",null,null,\"MvPolynomial.NewtonIdentities.sum_filter_pairs_eq_sum_filter_antidiagonal_powersetCard_sum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/NewtonIdentities.lean\",null,null,\"MvPolynomial.NewtonIdentities.sum_filter_pairs_eq_sum_powersetCard_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98685,
+      "path": "data/train/pe6/mathlib-001707-0000-c3c6afcab652966b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c3c6afcab652966b8199b7b556772fc54e092c21bf950246b714597ec070bf7c"
+    },
+    {
+      "bytes": 80272,
+      "path": "data/internal_test/pe6/mathlib-001707-0000-0c41299cdff3897e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0c41299cdff3897e29a5ae9dafd4098c67e016622948ee83ff8776b13e429e62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001708.json b/manifests/batches/mathlib/001708.json
index 8b65bfefcbdf54bcb03dd19808e5841ceead5907..4d0efb0aa325a1245b5d7d7105f3ede4fdcbed88 100644
--- a/manifests/batches/mathlib/001708.json
+++ b/manifests/batches/mathlib/001708.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001708",
   "batch_fingerprint": "cd5009673f876dc47d2126adbc70b56a9205dd922fb38d84155fbbc483fc95f3",
   "evidence": {
@@ -676,22 +675,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001708-0000-cfc8d905fe29822c.parquet",
-      "sha256": "cfc8d905fe29822c2406626fd989eaa9dc37321a3e39b7292a3dd7366de73931",
-      "bytes": 104514,
-      "rows": 25,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001708-0000-a74e8a9f835b230f.parquet",
-      "sha256": "a74e8a9f835b230f7927b43cf34d134baecb7116da7cf02efecfde4abbe6d52c",
-      "bytes": 60878,
-      "rows": 5,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.esymm_map_val",
     "mathlib:MvPolynomial.IsSymmetric.map",
@@ -733,5 +717,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Tower.lean\",null,null,\"MvPolynomial.aeval_algebraMap_eq_zero_iff_of_injective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Tower.lean\",null,null,\"MvPolynomial.aeval_map_algebraMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPolynomial/Tower.lean\",null,null,\"Subalgebra.mvPolynomial_aeval_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104514,
+      "path": "data/train/p21/mathlib-001708-0000-cfc8d905fe29822c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cfc8d905fe29822c2406626fd989eaa9dc37321a3e39b7292a3dd7366de73931"
+    },
+    {
+      "bytes": 60878,
+      "path": "data/dev/p21/mathlib-001708-0000-a74e8a9f835b230f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a74e8a9f835b230f7927b43cf34d134baecb7116da7cf02efecfde4abbe6d52c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001709.json b/manifests/batches/mathlib/001709.json
index 97a5ed8ef9bbf852aee9661689d4257b88c4a7a7..55b6948ea762c69d5d11657c6b64138f2e20390f 100644
--- a/manifests/batches/mathlib/001709.json
+++ b/manifests/batches/mathlib/001709.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001709",
   "batch_fingerprint": "3e54e72df8838c462250caf2a622f2fa18928f546f1b00f2eced6265e38f1a0e",
   "evidence": {
@@ -4503,29 +4502,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001709-0000-5a054dadb436e67c.parquet",
-      "sha256": "5a054dadb436e67c32b567b2ff2c7aac11075034308a833140607f8a7d95e9c2",
-      "bytes": 180955,
-      "rows": 46,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001709-0000-5f7c8ac85b5c2394.parquet",
-      "sha256": "5f7c8ac85b5c239486cbb82bcf575bb8324db4b6152d61f8125c231f42459308",
-      "bytes": 36619,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001709-0000-f97278bc9a1ffd9d.parquet",
-      "sha256": "f97278bc9a1ffd9d7d56927525c1b2b8e6c80b923cd06aeb3e2198ebccd0f886",
-      "bytes": 60557,
-      "rows": 10,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero",
     "mathlib:MvPolynomial.IsWeightedHomogeneous.inj_right",
@@ -4595,5 +4572,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Basic.lean\",null,null,\"MvPowerSeries.mul_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Basic.lean\",null,null,\"MvPowerSeries.one_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Basic.lean\",null,null,\"MvPowerSeries.smul_eq_C_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180955,
+      "path": "data/train/p2e/mathlib-001709-0000-5a054dadb436e67c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "5a054dadb436e67c32b567b2ff2c7aac11075034308a833140607f8a7d95e9c2"
+    },
+    {
+      "bytes": 36619,
+      "path": "data/dev/p2e/mathlib-001709-0000-5f7c8ac85b5c2394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5f7c8ac85b5c239486cbb82bcf575bb8324db4b6152d61f8125c231f42459308"
+    },
+    {
+      "bytes": 60557,
+      "path": "data/internal_test/p2e/mathlib-001709-0000-f97278bc9a1ffd9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f97278bc9a1ffd9d7d56927525c1b2b8e6c80b923cd06aeb3e2198ebccd0f886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001710.json b/manifests/batches/mathlib/001710.json
index c77c9467ef1c101853a2ceeee1070eedf9f85c7f..41b5b457c422d1b27fe7e6ba5af1bdbc2d83828d 100644
--- a/manifests/batches/mathlib/001710.json
+++ b/manifests/batches/mathlib/001710.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001710",
   "batch_fingerprint": "10ce4f318bc03d6cb9b3be8e5db2759a4f11d96ee0c06cb7b869846d51ba601f",
   "evidence": {
@@ -894,15 +893,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001710-0000-70da31f25431cc93.parquet",
-      "sha256": "70da31f25431cc9324d7114bfb1d14e2cd4fa9a98cce3efa23a22c13a9aa22c5",
-      "bytes": 70338,
-      "rows": 15,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPowerSeries.X_inv",
     "mathlib:MvPowerSeries.coeff_invOfUnit",
@@ -926,5 +917,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Inverse.lean\",null,null,\"MvPowerSeries.mul_inv_cancel\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Inverse.lean\",null,null,\"MvPowerSeries.smul_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/MvPowerSeries/Inverse.lean\",null,null,\"MvPowerSeries.zero_inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70338,
+      "path": "data/train/p95/mathlib-001710-0000-70da31f25431cc93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "70da31f25431cc9324d7114bfb1d14e2cd4fa9a98cce3efa23a22c13a9aa22c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001711.json b/manifests/batches/mathlib/001711.json
index 71aea20886211634936c5bc237d9b9072af491d9..b1dac67ff4bdf661eecdb4c3d58595024e632d46 100644
--- a/manifests/batches/mathlib/001711.json
+++ b/manifests/batches/mathlib/001711.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001711",
   "batch_fingerprint": "d1b8ebe12d652baff00b7dc576b460004fdb98249ae13e3e392af3d5c17ca6f2",
   "evidence": {
@@ -906,29 +905,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001711-0000-f0b23cd8a49b2e24.parquet",
-      "sha256": "f0b23cd8a49b2e24b25680dd9fa9cf9c8a45ead25242a0f6883749646178b9e3",
-      "bytes": 131524,
-      "rows": 34,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001711-0000-185541201a89e12e.parquet",
-      "sha256": "185541201a89e12e8343933b9593eb619d7b95c90a78bdd8ce6807d6096a8550",
-      "bytes": 61739,
-      "rows": 4,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001711-0000-48db36bf44cce2bb.parquet",
-      "sha256": "48db36bf44cce2bb8f3ccc311f568d33104509534fe526492e875d039bcb328f",
-      "bytes": 41989,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.add_pow_add_eq_zero_of_pow_eq_zero",
     "mathlib:Commute.isNilpotent_add",
@@ -962,5 +939,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Basic.lean\",null,null,\"IsRadical.of_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Basic.lean\",null,null,\"isReduced_iff_pow_one_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Basic.lean\",null,null,\"zero_isRadical_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131524,
+      "path": "data/train/p8d/mathlib-001711-0000-f0b23cd8a49b2e24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "f0b23cd8a49b2e24b25680dd9fa9cf9c8a45ead25242a0f6883749646178b9e3"
+    },
+    {
+      "bytes": 61739,
+      "path": "data/dev/p8d/mathlib-001711-0000-185541201a89e12e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "185541201a89e12e8343933b9593eb619d7b95c90a78bdd8ce6807d6096a8550"
+    },
+    {
+      "bytes": 41989,
+      "path": "data/internal_test/p8d/mathlib-001711-0000-48db36bf44cce2bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "48db36bf44cce2bb8f3ccc311f568d33104509534fe526492e875d039bcb328f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001712.json b/manifests/batches/mathlib/001712.json
index 8961fd38ad883cc08dfb4beb5eff961ce66b4b5e..c9186042f276af4fb8caf36a44cf5fc9e851ca2b 100644
--- a/manifests/batches/mathlib/001712.json
+++ b/manifests/batches/mathlib/001712.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001712",
   "batch_fingerprint": "35671b6b616d67fef7033e454a64d4c0823bb385a67691d154148186b8623c3f",
   "evidence": {
@@ -525,22 +524,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001712-0000-7ba635521d1f60a8.parquet",
-      "sha256": "7ba635521d1f60a8315d540e3dfe5fe14bb9c66fb938fa31e3b00edc18fb6239",
-      "bytes": 139635,
-      "rows": 37,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001712-0000-d65a4f8416ce13ac.parquet",
-      "sha256": "d65a4f8416ce13ac1adc6814f801099286d390cabe761f85327821525ca7d969",
-      "bytes": 67241,
-      "rows": 13,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Commute.isNilpotent_mul_left",
     "mathlib:Commute.isNilpotent_mul_right",
@@ -586,5 +570,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Lemmas.lean\",null,null,\"isRadical_iff_span_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Lemmas.lean\",null,null,\"nilpotent_iff_mem_prime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nilpotent/Lemmas.lean\",null,null,\"nilradical_eq_sInf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139635,
+      "path": "data/train/pc9/mathlib-001712-0000-7ba635521d1f60a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "7ba635521d1f60a8315d540e3dfe5fe14bb9c66fb938fa31e3b00edc18fb6239"
+    },
+    {
+      "bytes": 67241,
+      "path": "data/internal_test/pc9/mathlib-001712-0000-d65a4f8416ce13ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d65a4f8416ce13ac1adc6814f801099286d390cabe761f85327821525ca7d969"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001713.json b/manifests/batches/mathlib/001713.json
index f88ebc72e7c00ee22025120ecfc0787122ec8e11..c9618068c7c8cafa21376d721002daa2c926b736 100644
--- a/manifests/batches/mathlib/001713.json
+++ b/manifests/batches/mathlib/001713.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001713",
   "batch_fingerprint": "1be847c2de122e6a8c1b2b8df6434ac46f07ac9bdbdb7be0b29bd145df7a976e",
   "evidence": {
@@ -4605,15 +4604,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001713-0000-59236f7e03a00ddc.parquet",
-      "sha256": "59236f7e03a00ddcab73db2d67a7dcacf9ef16e17a4bcfe4f25ae7eb3a247cce",
-      "bytes": 72145,
-      "rows": 14,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NonUnitalRingHom.map_range",
     "mathlib:NonUnitalRingHom.range_eq_map",
@@ -4641,5 +4632,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/NonUnitalSubring/Basic.lean\",null,null,\"NonUnitalSubring.mem_sSup_of_directedOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/NonUnitalSubring/Basic.lean\",null,null,\"NonUnitalSubring.prod_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/NonUnitalSubring/Basic.lean\",null,null,\"NonUnitalSubring.top_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72145,
+      "path": "data/train/p3d/mathlib-001713-0000-59236f7e03a00ddc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "59236f7e03a00ddcab73db2d67a7dcacf9ef16e17a4bcfe4f25ae7eb3a247cce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001714.json b/manifests/batches/mathlib/001714.json
index 5b0d92cb162d07c8f6d0ff41b50abf2ae31ec21d..8f3e33ccf78b4509735cefa473f4ab6fdb39ac57 100644
--- a/manifests/batches/mathlib/001714.json
+++ b/manifests/batches/mathlib/001714.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001714",
   "batch_fingerprint": "20d05df1b7ab3ef3f83e031a17eabb21b6e80c2a132b3bed17049c5622ce3217",
   "evidence": {
@@ -3698,29 +3697,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001714-0000-3945cc1cf79e14eb.parquet",
-      "sha256": "3945cc1cf79e14ebd55a96ef96db4542b17ab4c3fd5180fd2c43b58c58b3b49b",
-      "bytes": 286538,
-      "rows": 43,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001714-0000-e35db756f7f4c0c4.parquet",
-      "sha256": "e35db756f7f4c0c420844a51e8f6ccf6809193fc09a55a50eef9b508c12d6b48",
-      "bytes": 43263,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001714-0000-894f3c2d93bb013a.parquet",
-      "sha256": "894f3c2d93bb013aeef5b1a570a3b3672a1b7a2aba7000b0888923ba7351a30d",
-      "bytes": 61873,
-      "rows": 8,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.PowerBasis.norm_gen_eq_coeff_zero_minpoly",
     "mathlib:Algebra.PowerBasis.norm_gen_eq_prod_roots",
@@ -3770,5 +3747,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Norm.lean\",null,null,\"Algebra.norm_eq_prod_roots\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Norm.lean\",null,null,\"Algebra.norm_eq_zero_iff_of_basis\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Norm.lean\",null,null,\"Algebra.norm_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286538,
+      "path": "data/train/p20/mathlib-001714-0000-3945cc1cf79e14eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "3945cc1cf79e14ebd55a96ef96db4542b17ab4c3fd5180fd2c43b58c58b3b49b"
+    },
+    {
+      "bytes": 43263,
+      "path": "data/dev/p20/mathlib-001714-0000-e35db756f7f4c0c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e35db756f7f4c0c420844a51e8f6ccf6809193fc09a55a50eef9b508c12d6b48"
+    },
+    {
+      "bytes": 61873,
+      "path": "data/internal_test/p20/mathlib-001714-0000-894f3c2d93bb013a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "894f3c2d93bb013aeef5b1a570a3b3672a1b7a2aba7000b0888923ba7351a30d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001715.json b/manifests/batches/mathlib/001715.json
index 4a63ba1d3f5fd1e6d848904c2fe8223b1ef51ec5..2642b7336b89766f3f2e876f0f6fafc90ca6f4c9 100644
--- a/manifests/batches/mathlib/001715.json
+++ b/manifests/batches/mathlib/001715.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001715",
   "batch_fingerprint": "b1f547ba50b04e7845330067c85d12f1de47f51b6d9af6f9fc2fcae69701519e",
   "evidence": {
@@ -710,19 +709,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001715-0000-120f7d3fbb481ee6.parquet",
-      "sha256": "120f7d3fbb481ee6dcf7a5b3b53dbf45c91ea996921d1f8a5d2df9ee66c53ecc",
-      "bytes": 57615,
-      "rows": 4,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.radical_le_vanishingIdeal_zeroLocus"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Nullstellensatz.lean\",null,null,\"MvPolynomial.radical_le_vanishingIdeal_zeroLocus\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57615,
+      "path": "data/train/p9e/mathlib-001715-0000-120f7d3fbb481ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "120f7d3fbb481ee6dcf7a5b3b53dbf45c91ea996921d1f8a5d2df9ee66c53ecc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001716.json b/manifests/batches/mathlib/001716.json
index a015fde014819d745c0731836c954c4524e5b056..43059dad244aaf9e51fa42e0d3de0cdc471279fa 100644
--- a/manifests/batches/mathlib/001716.json
+++ b/manifests/batches/mathlib/001716.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001716",
   "batch_fingerprint": "af06cf3b225ffe353234be2af48665be643cecf50f68ad89715b689d6d240726",
   "evidence": {
@@ -2574,7 +2573,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001717.json b/manifests/batches/mathlib/001717.json
index 36b9d3ae159dafba8d44448c41a694c8c46f4b6b..6ac1429097592040d56ae39b6a19811db285c892 100644
--- a/manifests/batches/mathlib/001717.json
+++ b/manifests/batches/mathlib/001717.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001717",
   "batch_fingerprint": "2d5452c7022ccaab6b94fe5845ff4d605cec4637710ec65ec43264d54abf3569",
   "evidence": {
@@ -789,15 +788,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001717-0000-0a6304b5da4ac395.parquet",
-      "sha256": "0a6304b5da4ac39574b88f3499e7b9d4c93980b094f7d4585a46026a39dea936",
-      "bytes": 65821,
-      "rows": 11,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:OreLocalization.inv_zero",
     "mathlib:OreLocalization.nontrivial_iff",
@@ -811,5 +802,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/OreLocalization/Ring.lean\",null,null,\"OreLocalization.numeratorHom_inj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/OreLocalization/Ring.lean\",null,null,\"OreLocalization.subsingleton_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/OreLocalization/Ring.lean\",null,null,\"OreLocalization.universalHom_commutes\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65821,
+      "path": "data/train/p78/mathlib-001717-0000-0a6304b5da4ac395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0a6304b5da4ac39574b88f3499e7b9d4c93980b094f7d4585a46026a39dea936"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001718.json b/manifests/batches/mathlib/001718.json
index 9418f9b24dbf8ea9cf5a08bafed76a3531c60fed..185a9cd3a823c68ab0e16c2d69d7ea0728d8b8d7 100644
--- a/manifests/batches/mathlib/001718.json
+++ b/manifests/batches/mathlib/001718.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001718",
   "batch_fingerprint": "856b9fb054071c30b99a6ef2b32c61ed92190be25874432f98316fffa1f16a1e",
   "evidence": {
@@ -2022,29 +2021,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001718-0000-ac3df1a98acd88db.parquet",
-      "sha256": "ac3df1a98acd88dbc2a5312718bab7f8ecfc7c2f0b9b559669d9c46e76bd863b",
-      "bytes": 153392,
-      "rows": 27,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001718-0000-b91823c01efa5805.parquet",
-      "sha256": "b91823c01efa580546077b31107312f60acb8bf6e939cfe443e907fde20029e6",
-      "bytes": 44648,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001718-0000-84660e6bdeb1362e.parquet",
-      "sha256": "84660e6bdeb1362eade5d7cd01721836d306246fe222120c2ff5100e75ec1f06",
-      "bytes": 74041,
-      "rows": 3,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ModP.preVal_eq_zero",
     "mathlib:ModP.preVal_mk",
@@ -2084,5 +2061,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PiTensorProduct.lean\",null,null,\"PiTensorProduct.mul_tprod_tprod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PiTensorProduct.lean\",null,null,\"PiTensorProduct.smul_tprod_mul_smul_tprod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PiTensorProduct.lean\",null,null,\"SemiconjBy.tprod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153392,
+      "path": "data/train/p07/mathlib-001718-0000-ac3df1a98acd88db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ac3df1a98acd88dbc2a5312718bab7f8ecfc7c2f0b9b559669d9c46e76bd863b"
+    },
+    {
+      "bytes": 44648,
+      "path": "data/dev/p07/mathlib-001718-0000-b91823c01efa5805.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b91823c01efa580546077b31107312f60acb8bf6e939cfe443e907fde20029e6"
+    },
+    {
+      "bytes": 74041,
+      "path": "data/internal_test/p07/mathlib-001718-0000-84660e6bdeb1362e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "84660e6bdeb1362eade5d7cd01721836d306246fe222120c2ff5100e75ec1f06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001719.json b/manifests/batches/mathlib/001719.json
index 6ea7f401fe933b61cbea3c7ec2c4f9bfe71c1dc9..84a4cb178ca3078a5beced225d81deb93dd58f02 100644
--- a/manifests/batches/mathlib/001719.json
+++ b/manifests/batches/mathlib/001719.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001719",
   "batch_fingerprint": "b00232a10245e725e1a5e387bfe75219cd4885016cea91d6a26fd1393ab4bce3",
   "evidence": {
@@ -6918,29 +6917,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001719-0000-c9d0a8c2f8295f06.parquet",
-      "sha256": "c9d0a8c2f8295f060ddeb7d571f734c28c11c1e3cfb20317a7b933d0802c0d0b",
-      "bytes": 199944,
-      "rows": 54,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001719-0000-b05e979fca9561ff.parquet",
-      "sha256": "b05e979fca9561ff50b801edb2353a034161f89ef3646fd4f6d1bc006c6180e2",
-      "bytes": 62877,
-      "rows": 9,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001719-0000-0b990ff1b3aaf60e.parquet",
-      "sha256": "0b990ff1b3aaf60e59cee873f4871486b5af2d770461222e68efdd3fbfebcde3",
-      "bytes": 74626,
-      "rows": 11,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.eq_zero_of_constant_mem_of_maximal",
     "mathlib:Ideal.leadingCoeffNth_mono",
@@ -7008,5 +6985,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Bernstein.lean\",null,null,\"bernsteinPolynomial.iterate_derivative_at_1_eq_zero_of_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Bernstein.lean\",null,null,\"bernsteinPolynomial.iterate_derivative_at_1_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Bernstein.lean\",null,null,\"bernsteinPolynomial.map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199944,
+      "path": "data/train/pf2/mathlib-001719-0000-c9d0a8c2f8295f06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "c9d0a8c2f8295f060ddeb7d571f734c28c11c1e3cfb20317a7b933d0802c0d0b"
+    },
+    {
+      "bytes": 62877,
+      "path": "data/dev/pf2/mathlib-001719-0000-b05e979fca9561ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b05e979fca9561ff50b801edb2353a034161f89ef3646fd4f6d1bc006c6180e2"
+    },
+    {
+      "bytes": 74626,
+      "path": "data/internal_test/pf2/mathlib-001719-0000-0b990ff1b3aaf60e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0b990ff1b3aaf60e59cee873f4871486b5af2d770461222e68efdd3fbfebcde3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001720.json b/manifests/batches/mathlib/001720.json
index cfb7e477503bce587955139d86569b11f4fe362e..9cb48070d9f14c2417065c4d2469a53734d71d6a 100644
--- a/manifests/batches/mathlib/001720.json
+++ b/manifests/batches/mathlib/001720.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001720",
   "batch_fingerprint": "fd64e23274c23393f5939ac14f6b2d50446c3d8e0e846d83d56723fededa5234",
   "evidence": {
@@ -3248,29 +3247,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001720-0000-3e4e890faea4fbd8.parquet",
-      "sha256": "3e4e890faea4fbd85a70a5a6de72ba5a594aa2cb1de7f85ecc4bb0094a7c109e",
-      "bytes": 196625,
-      "rows": 63,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001720-0000-da0a3400566c40bc.parquet",
-      "sha256": "da0a3400566c40bc0047c1bc2b0837164bcf34468efc4352359a3b268156065e",
-      "bytes": 38404,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001720-0000-b679a27837a05fdb.parquet",
-      "sha256": "b679a27837a05fdb568462394781913d92bffe312475485af1c8342da9ea311e",
-      "bytes": 50255,
-      "rows": 7,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.Chebyshev.T_add_one",
     "mathlib:Polynomial.Chebyshev.T_eq",
@@ -3346,5 +3323,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Content.lean\",null,null,\"Polynomial.gcd_content_eq_of_dvd_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Content.lean\",null,null,\"Polynomial.isPrimitive_iff_content_eq_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Content.lean\",null,null,\"Polynomial.primPart_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196625,
+      "path": "data/train/pc8/mathlib-001720-0000-3e4e890faea4fbd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "3e4e890faea4fbd85a70a5a6de72ba5a594aa2cb1de7f85ecc4bb0094a7c109e"
+    },
+    {
+      "bytes": 38404,
+      "path": "data/dev/pc8/mathlib-001720-0000-da0a3400566c40bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "da0a3400566c40bc0047c1bc2b0837164bcf34468efc4352359a3b268156065e"
+    },
+    {
+      "bytes": 50255,
+      "path": "data/internal_test/pc8/mathlib-001720-0000-b679a27837a05fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b679a27837a05fdb568462394781913d92bffe312475485af1c8342da9ea311e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001721.json b/manifests/batches/mathlib/001721.json
index f126caafcf552756179dc971996ba449815bfa90..737c3f265ad74a34577d6e11a227a5b49b475723 100644
--- a/manifests/batches/mathlib/001721.json
+++ b/manifests/batches/mathlib/001721.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001721",
   "batch_fingerprint": "342351546766cb426ba225f0b3f46049b02b585091682dbe3ca60364cd407312",
   "evidence": {
@@ -4607,22 +4606,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001721-0000-de2b19bc56fe5609.parquet",
-      "sha256": "de2b19bc56fe560999ad63cd43346cf81f369571ca4cbb2450337b41ea87c5fe",
-      "bytes": 133012,
-      "rows": 35,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001721-0000-a2549071cffee7d5.parquet",
-      "sha256": "a2549071cffee7d5722cb7d5100f3f22e49090294bbecc3eb06a3c838bb91469",
-      "bytes": 44477,
-      "rows": 4,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.X_pow_sub_one_mul_prod_cyclotomic_eq_X_pow_sub_one_of_dvd",
     "mathlib:Polynomial.X_pow_sub_one_splits",
@@ -4672,5 +4656,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean\",null,null,\"Polynomial.eval_one_cyclotomic_prime_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean\",null,null,\"Polynomial.eval\u2082_one_cyclotomic_prime\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean\",null,null,\"Polynomial.eval\u2082_one_cyclotomic_prime_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133012,
+      "path": "data/train/p81/mathlib-001721-0000-de2b19bc56fe5609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "de2b19bc56fe560999ad63cd43346cf81f369571ca4cbb2450337b41ea87c5fe"
+    },
+    {
+      "bytes": 44477,
+      "path": "data/internal_test/p81/mathlib-001721-0000-a2549071cffee7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a2549071cffee7d5722cb7d5100f3f22e49090294bbecc3eb06a3c838bb91469"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001722.json b/manifests/batches/mathlib/001722.json
index a5572ad094a9ee5e0f09e28b619b8b5bfb39e0d5..187204a35868ea4e3556cbb630146356338420ae 100644
--- a/manifests/batches/mathlib/001722.json
+++ b/manifests/batches/mathlib/001722.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001722",
   "batch_fingerprint": "cb52be82ffe6d9bf0a95e3747d18d1235075285d227b648789a2935f4d48f420",
   "evidence": {
@@ -1246,22 +1245,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001722-0000-6b059e827f78a3d1.parquet",
-      "sha256": "6b059e827f78a3d1ee90b23d2aa44e01d141244b4a2cc2f703afbf6e8ed31d79",
-      "bytes": 100749,
-      "rows": 23,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001722-0000-dec7d04f4f0b6a05.parquet",
-      "sha256": "dec7d04f4f0b6a05eb4d4186502d1c24540be89b47aea5d7a158c7b5c9f35d95",
-      "bytes": 45351,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPrimitiveRoot.isRoot_cyclotomic",
     "mathlib:IsPrimitiveRoot.minpoly_dvd_cyclotomic",
@@ -1287,5 +1271,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Roots.lean\",null,null,\"Polynomial.cyclotomic_eq_minpoly_rat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Roots.lean\",null,null,\"Polynomial.isRoot_cyclotomic_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Cyclotomic/Roots.lean\",null,null,\"isRoot_of_unity_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100749,
+      "path": "data/train/pee/mathlib-001722-0000-6b059e827f78a3d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6b059e827f78a3d1ee90b23d2aa44e01d141244b4a2cc2f703afbf6e8ed31d79"
+    },
+    {
+      "bytes": 45351,
+      "path": "data/dev/pee/mathlib-001722-0000-dec7d04f4f0b6a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dec7d04f4f0b6a05eb4d4186502d1c24540be89b47aea5d7a158c7b5c9f35d95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001723.json b/manifests/batches/mathlib/001723.json
index a6b0b0ba19814b59c9aa730ce931bbf21dbceb30..319ba4a2b275d35b0eb5c65d247cdcb7e8efdf9d 100644
--- a/manifests/batches/mathlib/001723.json
+++ b/manifests/batches/mathlib/001723.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001723",
   "batch_fingerprint": "72f8bbfbd2005e4309188e87454cabaed198d63c2f3f2a6cdfa68d0198854499",
   "evidence": {
@@ -1405,22 +1404,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001723-0000-baf0407b27d6e6d8.parquet",
-      "sha256": "baf0407b27d6e6d884fd27b94f7b433ea782c25b3cd2591a1b0daef9c64fcb1b",
-      "bytes": 98577,
-      "rows": 21,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001723-0000-ababf0d1508e79d8.parquet",
-      "sha256": "ababf0d1508e79d8d8d5500c7f20ff77316b1a4d0adaffe021162d682b5c974a",
-      "bytes": 35914,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.C_half_mul_two_eq_one",
     "mathlib:Polynomial.IsWeaklyEisensteinAt.map",
@@ -1444,5 +1428,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Eisenstein/Basic.lean\",null,null,\"Polynomial.IsWeaklyEisensteinAt.map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Eisenstein/Basic.lean\",null,null,\"Polynomial.dvd_pow_natDegree_of_eval\u2082_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Eisenstein/Basic.lean\",null,null,\"Polynomial.scaleRoots.isWeaklyEisensteinAt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98577,
+      "path": "data/train/p89/mathlib-001723-0000-baf0407b27d6e6d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "baf0407b27d6e6d884fd27b94f7b433ea782c25b3cd2591a1b0daef9c64fcb1b"
+    },
+    {
+      "bytes": 35914,
+      "path": "data/dev/p89/mathlib-001723-0000-ababf0d1508e79d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ababf0d1508e79d8d8d5500c7f20ff77316b1a4d0adaffe021162d682b5c974a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001724.json b/manifests/batches/mathlib/001724.json
index 281947d3aa1460463ef2686e42189d4ca50389e7..d756d2492c48aaa2b8fb3d7a111f0e83c1e55737 100644
--- a/manifests/batches/mathlib/001724.json
+++ b/manifests/batches/mathlib/001724.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001724",
   "batch_fingerprint": "2b9d23a6739b77a9706802d3d9b6c0ac3dc9b6bd884d82ee6e2c132a6282a65d",
   "evidence": {
@@ -2803,15 +2802,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001724-0000-5f08e768e1a99eb2.parquet",
-      "sha256": "5f08e768e1a99eb223706aa3d70f2150fea29d8f7aeb3cfcba141a7f543b9afd",
-      "bytes": 72006,
-      "rows": 12,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.IsPrimitive.isUnit_iff_isUnit_map_of_injective",
     "mathlib:mem_adjoin_of_dvd_coeff_of_dvd_aeval"
@@ -2819,5 +2810,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Eisenstein/IsIntegral.lean\",null,null,\"mem_adjoin_of_dvd_coeff_of_dvd_aeval\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/GaussLemma.lean\",null,null,\"Polynomial.IsPrimitive.isUnit_iff_isUnit_map_of_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72006,
+      "path": "data/train/pb2/mathlib-001724-0000-5f08e768e1a99eb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5f08e768e1a99eb223706aa3d70f2150fea29d8f7aeb3cfcba141a7f543b9afd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001725.json b/manifests/batches/mathlib/001725.json
index 183ceb4f84312ce15d9014d587118c19af7347ba..15c0fa0fe5cab7d3f6446166f9b7aa2f4c8dc752 100644
--- a/manifests/batches/mathlib/001725.json
+++ b/manifests/batches/mathlib/001725.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001725",
   "batch_fingerprint": "da15943f0bc2edb9500784c9d110baec733d498efaf74118739b122ee50b65e9",
   "evidence": {
@@ -1132,22 +1131,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001725-0000-3f7fdb9432017d68.parquet",
-      "sha256": "3f7fdb9432017d6818afb33f3f74f4c9772776cf6f41c0058b5fae5a6ed8f9df",
-      "bytes": 51664,
-      "rows": 8,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001725-0000-aa46489efaadb227.parquet",
-      "sha256": "aa46489efaadb227fa7572a29df673fd1139a79a61b0bfaa787060c484893432",
-      "bytes": 28518,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.coeff_hermite_succ_succ",
     "mathlib:Polynomial.coeff_hermite_succ_zero",
@@ -1163,5 +1147,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Hermite/Basic.lean\",null,null,\"Polynomial.hermite_succ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Hermite/Basic.lean\",null,null,\"Polynomial.leadingCoeff_hermite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Hermite/Gaussian.lean\",null,null,\"Polynomial.hermite_eq_deriv_gaussian'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51664,
+      "path": "data/train/p6f/mathlib-001725-0000-3f7fdb9432017d68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3f7fdb9432017d6818afb33f3f74f4c9772776cf6f41c0058b5fae5a6ed8f9df"
+    },
+    {
+      "bytes": 28518,
+      "path": "data/internal_test/p6f/mathlib-001725-0000-aa46489efaadb227.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aa46489efaadb227fa7572a29df673fd1139a79a61b0bfaa787060c484893432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001726.json b/manifests/batches/mathlib/001726.json
index 3e2317af54c40c5164b9489686ec9a506f55599c..d1ed22287037f9f322d5cd9186eca3ce3af21272 100644
--- a/manifests/batches/mathlib/001726.json
+++ b/manifests/batches/mathlib/001726.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001726",
   "batch_fingerprint": "fd41b62682cea14b988be5e5c7a7f20c88a0e5be4db59c2fdf6517932266ad2b",
   "evidence": {
@@ -544,22 +543,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001726-0000-63cd40e036405a96.parquet",
-      "sha256": "63cd40e036405a9683e04aa2aa60c9f2616dc5bcb6edf4cdb8be5fe829fbb200",
-      "bytes": 40613,
-      "rows": 5,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001726-0000-1823af6a23be2732.parquet",
-      "sha256": "1823af6a23be27329326f8d77cff1483a92099d0cd5316dd7501f246fc2f5a81",
-      "bytes": 49794,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.integralNormalization_coeff",
     "mathlib:Polynomial.integralNormalization_coeff_degree",
@@ -573,5 +557,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/IntegralNormalization.lean\",null,null,\"Polynomial.integralNormalization_coeff_ne_degree\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/IntegralNormalization.lean\",null,null,\"Polynomial.integralNormalization_support\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/IntegralNormalization.lean\",null,null,\"Polynomial.integralNormalization_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40613,
+      "path": "data/train/p6c/mathlib-001726-0000-63cd40e036405a96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "63cd40e036405a9683e04aa2aa60c9f2616dc5bcb6edf4cdb8be5fe829fbb200"
+    },
+    {
+      "bytes": 49794,
+      "path": "data/dev/p6c/mathlib-001726-0000-1823af6a23be2732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1823af6a23be27329326f8d77cff1483a92099d0cd5316dd7501f246fc2f5a81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001727.json b/manifests/batches/mathlib/001727.json
index 3464c47ad21b694b7959a68496135745abf9e65e..2b4bc5487faf79f40749a20eebc8edb51a800db9 100644
--- a/manifests/batches/mathlib/001727.json
+++ b/manifests/batches/mathlib/001727.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001727",
   "batch_fingerprint": "dfa387c738c59c5236917d3b8cfee6811aaa4f477583fc40db35e66c52258b8d",
   "evidence": {
@@ -835,22 +834,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001727-0000-a7ec24b4f18d5831.parquet",
-      "sha256": "a7ec24b4f18d58313cc38333a5a053621ed2686c58d90c359b7476624232ec9c",
-      "bytes": 88421,
-      "rows": 26,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001727-0000-bb8fb469586b9f9b.parquet",
-      "sha256": "bb8fb469586b9f9bfbdc9469183cfbaa32f9a34e91c56fcc626abf782c9099fd",
-      "bytes": 60842,
-      "rows": 3,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.coeff_opRingEquiv",
     "mathlib:Polynomial.isNilpotent_C_iff",
@@ -882,5 +866,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Opposites.lean\",null,null,\"Polynomial.opRingEquiv_symm_C_mul_X_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Opposites.lean\",null,null,\"Polynomial.opRingEquiv_symm_monomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Opposites.lean\",null,null,\"Polynomial.support_opRingEquiv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88421,
+      "path": "data/train/pfb/mathlib-001727-0000-a7ec24b4f18d5831.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a7ec24b4f18d58313cc38333a5a053621ed2686c58d90c359b7476624232ec9c"
+    },
+    {
+      "bytes": 60842,
+      "path": "data/dev/pfb/mathlib-001727-0000-bb8fb469586b9f9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bb8fb469586b9f9bfbdc9469183cfbaa32f9a34e91c56fcc626abf782c9099fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001728.json b/manifests/batches/mathlib/001728.json
index 60c6d46bc94f7b9502dc917ec1e93d0ecccdb4b1..809979678547292238ffa4cea47c404f2fa0543e 100644
--- a/manifests/batches/mathlib/001728.json
+++ b/manifests/batches/mathlib/001728.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001728",
   "batch_fingerprint": "0eeb78c390576976a1edaa2944d1509216238b9244006782ac4bb2211846bc74",
   "evidence": {
@@ -2262,29 +2261,7 @@
     "validation_rejected_proofs": 12,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001728-0000-b11c01ce51a02981.parquet",
-      "sha256": "b11c01ce51a029810eeca80c475ba27a35837496c3b0a75f21d3f93c5b5cd7f2",
-      "bytes": 64418,
-      "rows": 18,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001728-0000-f8973453cb82e890.parquet",
-      "sha256": "f8973453cb82e890ddcc3735f1d88e4fe0c22276111d4e6de83c473f7691cb9c",
-      "bytes": 36905,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001728-0000-4a2983eede1ecb05.parquet",
-      "sha256": "4a2983eede1ecb050e0597d3ddfe90977e8a237c9f2f38b4d8bdd899e917123a",
-      "bytes": 27490,
-      "rows": 1,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ascPochhammer_eval_cast",
     "mathlib:ascPochhammer_eval_comp",
@@ -2324,5 +2301,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Pochhammer.lean\",null,null,\"descPochhammer_succ_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Pochhammer.lean\",null,null,\"descPochhammer_zero_eval_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Pochhammer.lean\",null,null,\"factorial_mul_ascPochhammer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64418,
+      "path": "data/train/p4c/mathlib-001728-0000-b11c01ce51a02981.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b11c01ce51a029810eeca80c475ba27a35837496c3b0a75f21d3f93c5b5cd7f2"
+    },
+    {
+      "bytes": 36905,
+      "path": "data/dev/p4c/mathlib-001728-0000-f8973453cb82e890.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f8973453cb82e890ddcc3735f1d88e4fe0c22276111d4e6de83c473f7691cb9c"
+    },
+    {
+      "bytes": 27490,
+      "path": "data/internal_test/p4c/mathlib-001728-0000-4a2983eede1ecb05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4a2983eede1ecb050e0597d3ddfe90977e8a237c9f2f38b4d8bdd899e917123a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001729.json b/manifests/batches/mathlib/001729.json
index 7357f5644024db8da7927269f83b0457f787e1b9..a118640f49bfc34e9f739f6fe9c673fab44fd286 100644
--- a/manifests/batches/mathlib/001729.json
+++ b/manifests/batches/mathlib/001729.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001729",
   "batch_fingerprint": "31c4185bc70dadd46ef094acc9e27bf7fbdfac7561f764c81241fb53c9100330",
   "evidence": {
@@ -1300,29 +1299,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001729-0000-3823aef72228981f.parquet",
-      "sha256": "3823aef72228981f180cc54bcc64f8393fbf7bcfbe6d68d2ce926099a7bfdce8",
-      "bytes": 158474,
-      "rows": 41,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/dev/mathlib-001729-0000-2eb25a7f9d6ed6c9.parquet",
-      "sha256": "2eb25a7f9d6ed6c97839191bea5842ce0155197ccce84864fe5aacf577165c73",
-      "bytes": 58424,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001729-0000-8cc4f626bda15ddb.parquet",
-      "sha256": "8cc4f626bda15ddbd3b9fda52c73c03b09e27fb52fe8441f5c5de75f88f27571",
-      "bytes": 33602,
-      "rows": 2,
-      "revision": "41d2f3897f601a7cd238f067f44d0df1c4e2c96f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Polynomial.coeff_scaleRoots",
     "mathlib:Polynomial.coeff_scaleRoots_natDegree",
@@ -1366,5 +1343,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/ScaleRoots.lean\",null,null,\"Polynomial.support_scaleRoots_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/ScaleRoots.lean\",null,null,\"Polynomial.support_scaleRoots_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/ScaleRoots.lean\",null,null,\"Polynomial.zero_scaleRoots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158474,
+      "path": "data/train/p3c/mathlib-001729-0000-3823aef72228981f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "3823aef72228981f180cc54bcc64f8393fbf7bcfbe6d68d2ce926099a7bfdce8"
+    },
+    {
+      "bytes": 58424,
+      "path": "data/dev/p3c/mathlib-001729-0000-2eb25a7f9d6ed6c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2eb25a7f9d6ed6c97839191bea5842ce0155197ccce84864fe5aacf577165c73"
+    },
+    {
+      "bytes": 33602,
+      "path": "data/internal_test/p3c/mathlib-001729-0000-8cc4f626bda15ddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8cc4f626bda15ddbd3b9fda52c73c03b09e27fb52fe8441f5c5de75f88f27571"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001730.json b/manifests/batches/mathlib/001730.json
index e9304dea898c3c018e71b34f94039de387a34c1c..134019c504110f214eb8e0b24408c7527c80d256 100644
--- a/manifests/batches/mathlib/001730.json
+++ b/manifests/batches/mathlib/001730.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001730",
   "batch_fingerprint": "5eb649d0ce269e5da0d0bb6f863013d696efe9a62ec22037760ae4ac731936ec",
   "evidence": {
@@ -843,28 +842,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:Polynomial.HasSeparableContraction.eq_degree",
+    "mathlib:Polynomial.IsSeparableContraction.dvd_degree'"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/SeparableDegree.lean\",null,null,\"Polynomial.HasSeparableContraction.eq_degree\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/SeparableDegree.lean\",null,null,\"Polynomial.IsSeparableContraction.dvd_degree'\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001730-0000-ef882a16c915b55a.parquet",
-      "sha256": "ef882a16c915b55a6f2446702c2f8bd7faaab4516076ebffd72e7922304bd093",
       "bytes": 46724,
+      "path": "data/train/p65/mathlib-001730-0000-ef882a16c915b55a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
+      "sha256": "ef882a16c915b55a6f2446702c2f8bd7faaab4516076ebffd72e7922304bd093"
     },
     {
-      "path": "data/dev/mathlib-001730-0000-0cb53cc769cbe907.parquet",
-      "sha256": "0cb53cc769cbe9071e4b3e8405405c5108cd1581a2f23df8b2970d2b735df67b",
       "bytes": 49246,
+      "path": "data/dev/p65/mathlib-001730-0000-0cb53cc769cbe907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
+      "sha256": "0cb53cc769cbe9071e4b3e8405405c5108cd1581a2f23df8b2970d2b735df67b"
     }
-  ],
-  "proof_ids": [
-    "mathlib:Polynomial.HasSeparableContraction.eq_degree",
-    "mathlib:Polynomial.IsSeparableContraction.dvd_degree'"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/SeparableDegree.lean\",null,null,\"Polynomial.HasSeparableContraction.eq_degree\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/SeparableDegree.lean\",null,null,\"Polynomial.IsSeparableContraction.dvd_degree'\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001731.json b/manifests/batches/mathlib/001731.json
index e8f194d0c5d2dabc5617d6161e85c3d7d79d125a..18d5a45c0860a532febc5329a2eee58eb7c8173a 100644
--- a/manifests/batches/mathlib/001731.json
+++ b/manifests/batches/mathlib/001731.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001731",
   "batch_fingerprint": "ca64d334c6ed684a2bd6592ee09ab2c2cf6f24f0ba8d7876a4b9f430e2ad3e05",
   "evidence": {
@@ -701,22 +700,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001731-0000-242d8973b554def8.parquet",
-      "sha256": "242d8973b554def8da46b53d4147df75a5836f7f30d34d820b46e9e42b402d68",
-      "bytes": 66218,
-      "rows": 9,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001731-0000-dbd710bdd7cb9fe8.parquet",
-      "sha256": "dbd710bdd7cb9fe860b4fe210fe60246d5de6d9e205e9d9ad628ea1970f417d9",
-      "bytes": 47345,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.prod_X_add_C_coeff",
     "mathlib:Multiset.esymm_neg",
@@ -736,5 +720,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Vieta.lean\",null,null,\"Finset.prod_X_add_C_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Vieta.lean\",null,null,\"Multiset.esymm_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Polynomial/Vieta.lean\",null,null,\"Multiset.prod_X_add_C_coeff'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66218,
+      "path": "data/train/p56/mathlib-001731-0000-242d8973b554def8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "242d8973b554def8da46b53d4147df75a5836f7f30d34d820b46e9e42b402d68"
+    },
+    {
+      "bytes": 47345,
+      "path": "data/internal_test/p56/mathlib-001731-0000-dbd710bdd7cb9fe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dbd710bdd7cb9fe860b4fe210fe60246d5de6d9e205e9d9ad628ea1970f417d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001732.json b/manifests/batches/mathlib/001732.json
index 162fa151fa2c02cb11920c5fe1276ea16701ec6a..09d016bcf5f12fff537dd8e8e79b1cfb1f8086cb 100644
--- a/manifests/batches/mathlib/001732.json
+++ b/manifests/batches/mathlib/001732.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001732",
   "batch_fingerprint": "e0185c22555b5fdbf861870fb1b0baae304a66546fe4237c11d5ab2bf8645d4b",
   "evidence": {
@@ -1805,22 +1804,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001732-0000-2746cdb61a33491c.parquet",
-      "sha256": "2746cdb61a33491ca817a15108ebd88750bc69790b354114bbb543a2c0a57a16",
-      "bytes": 401917,
-      "rows": 66,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001732-0000-d51ea3e09dd3f845.parquet",
-      "sha256": "d51ea3e09dd3f845e998fbef7b409e55972241850cfb8d31c8b27f849b5ae116",
-      "bytes": 56324,
-      "rows": 9,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsIntegral.mem_span_pow",
     "mathlib:PolyEquivTensor.invFun_add",
@@ -1884,5 +1868,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerBasis.lean\",null,null,\"PowerBasis.minpolyGen_map\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerBasis.lean\",null,null,\"PowerBasis.minpolyGen_monic\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerBasis.lean\",null,null,\"PowerBasis.natDegree_minpoly\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 401917,
+      "path": "data/train/pa9/mathlib-001732-0000-2746cdb61a33491c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "2746cdb61a33491ca817a15108ebd88750bc69790b354114bbb543a2c0a57a16"
+    },
+    {
+      "bytes": 56324,
+      "path": "data/internal_test/pa9/mathlib-001732-0000-d51ea3e09dd3f845.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d51ea3e09dd3f845e998fbef7b409e55972241850cfb8d31c8b27f849b5ae116"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001733.json b/manifests/batches/mathlib/001733.json
index b66174a76d8f61072d0c3da913eebb333befc636..23f17efd1b24cc533b72a2212ab679287596c939 100644
--- a/manifests/batches/mathlib/001733.json
+++ b/manifests/batches/mathlib/001733.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001733",
   "batch_fingerprint": "2e2e9a3f4a446643b62a3e376fe9813413ab6bcf74f3bc6d2f42a0975fbff6b1",
   "evidence": {
@@ -4436,22 +4435,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001733-0000-c1cc9aaf677a2df9.parquet",
-      "sha256": "c1cc9aaf677a2df94701d2c8560ba461e3c67ffb009b72c0cdcf4ac63ccd370a",
-      "bytes": 71652,
-      "rows": 15,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001733-0000-990c4f94e263b2c6.parquet",
-      "sha256": "990c4f94e263b2c62fdaabf8745cb004807b866ce8997f6d4055781c0c9aae98",
-      "bytes": 41858,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PowerSeries.coeff_derivativeFun",
     "mathlib:PowerSeries.derivativeFun_C",
@@ -4475,5 +4459,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Derivative.lean\",null,null,\"PowerSeries.derivativeFun_smul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Derivative.lean\",null,null,\"PowerSeries.derivative_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Derivative.lean\",null,null,\"PowerSeries.derivative_invOf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71652,
+      "path": "data/train/p4e/mathlib-001733-0000-c1cc9aaf677a2df9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c1cc9aaf677a2df94701d2c8560ba461e3c67ffb009b72c0cdcf4ac63ccd370a"
+    },
+    {
+      "bytes": 41858,
+      "path": "data/internal_test/p4e/mathlib-001733-0000-990c4f94e263b2c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "990c4f94e263b2c62fdaabf8745cb004807b866ce8997f6d4055781c0c9aae98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001734.json b/manifests/batches/mathlib/001734.json
index 3457b1756ff73d06df3c639e66d50d130a87450e..2dbf42106bc0f3ab0554c4ddf7f2f532f927a3b8 100644
--- a/manifests/batches/mathlib/001734.json
+++ b/manifests/batches/mathlib/001734.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001734",
   "batch_fingerprint": "c2ac3bc9a777e0bf1ff8adc49d2f1f6fefa182fdb7ba240d593ec7502c83cf4f",
   "evidence": {
@@ -2347,29 +2346,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001734-0000-c4ac2905976128f4.parquet",
-      "sha256": "c4ac2905976128f440a2d52475b00c3ef0c0c5c8ca464dfcfb4dc6472ad2febb",
-      "bytes": 82090,
-      "rows": 26,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001734-0000-636eaa293535272a.parquet",
-      "sha256": "636eaa293535272ab45fd3f262bf84e4476b97eba4ddb10517e5708cc19d8dd5",
-      "bytes": 44858,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001734-0000-97556f5cde72dd50.parquet",
-      "sha256": "97556f5cde72dd501fd0059b20e0262a61be4614988526eb996f1d4dc118d433",
-      "bytes": 55006,
-      "rows": 9,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PowerSeries.Inv_divided_by_X_pow_order_leftInv",
     "mathlib:PowerSeries.Unit_of_divided_by_X_pow_order_nonzero",
@@ -2411,5 +2388,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Order.lean\",null,null,\"PowerSeries.order_X_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Order.lean\",null,null,\"PowerSeries.order_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/Order.lean\",null,null,\"PowerSeries.order_zero_of_unit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82090,
+      "path": "data/train/pd1/mathlib-001734-0000-c4ac2905976128f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c4ac2905976128f440a2d52475b00c3ef0c0c5c8ca464dfcfb4dc6472ad2febb"
+    },
+    {
+      "bytes": 44858,
+      "path": "data/dev/pd1/mathlib-001734-0000-636eaa293535272a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "636eaa293535272ab45fd3f262bf84e4476b97eba4ddb10517e5708cc19d8dd5"
+    },
+    {
+      "bytes": 55006,
+      "path": "data/internal_test/pd1/mathlib-001734-0000-97556f5cde72dd50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "97556f5cde72dd501fd0059b20e0262a61be4614988526eb996f1d4dc118d433"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001735.json b/manifests/batches/mathlib/001735.json
index 6fe890b48efa98ac3d3dba8da4c68160f3769efc..33eac997d6d66799a12089814bab9271af29ddaf 100644
--- a/manifests/batches/mathlib/001735.json
+++ b/manifests/batches/mathlib/001735.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001735",
   "batch_fingerprint": "c5f33a4c7a6f680fe3baf92943f691c4e16422f05ea472584ac1ede2a78347b9",
   "evidence": {
@@ -1705,22 +1704,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001735-0000-c237abdbdb8f22c5.parquet",
-      "sha256": "c237abdbdb8f22c5f71d8b312535d2b4a5e28125998ae01d095aa02cb6d6a9ab",
-      "bytes": 94298,
-      "rows": 25,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001735-0000-70a7949d88227697.parquet",
-      "sha256": "70a7949d88227697b5fa1cc14ad8db2cf77d69c7a318fb16f54c0a904ba8e147",
-      "bytes": 60690,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PowerSeries.coeff_coe_trunc_of_lt",
     "mathlib:PowerSeries.coeff_cos_bit0",
@@ -1766,5 +1750,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/WellKnown.lean\",null,null,\"PowerSeries.map_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/WellKnown.lean\",null,null,\"PowerSeries.map_invUnitsSub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PowerSeries/WellKnown.lean\",null,null,\"PowerSeries.map_sin\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94298,
+      "path": "data/train/pd9/mathlib-001735-0000-c237abdbdb8f22c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "c237abdbdb8f22c5f71d8b312535d2b4a5e28125998ae01d095aa02cb6d6a9ab"
+    },
+    {
+      "bytes": 60690,
+      "path": "data/internal_test/pd9/mathlib-001735-0000-70a7949d88227697.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "70a7949d88227697b5fa1cc14ad8db2cf77d69c7a318fb16f54c0a904ba8e147"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001736.json b/manifests/batches/mathlib/001736.json
index 0c09e06cf8a444ac6df61b368b51b4c0d7eacc21..39b305e5f60da4a82fbe0412358856583537060f 100644
--- a/manifests/batches/mathlib/001736.json
+++ b/manifests/batches/mathlib/001736.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001736",
   "batch_fingerprint": "f6ba099736396fded54126c0403a069d98d2fd0e88cd4810eb1de402a3c3c9d9",
   "evidence": {
@@ -893,15 +892,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001736-0000-a8641f80704b2c6d.parquet",
-      "sha256": "a8641f80704b2c6dad76d9612f0df39736afe4c770aa24649c2812036412ae11",
-      "bytes": 52696,
-      "rows": 5,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.Presentation.aeval_val_relation",
     "mathlib:Algebra.Presentation.ideal_fg_of_isFinite",
@@ -911,5 +902,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Presentation.lean\",null,null,\"Algebra.Presentation.aeval_val_relation\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Presentation.lean\",null,null,\"Algebra.Presentation.ideal_fg_of_isFinite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Presentation.lean\",null,null,\"Algebra.Presentation.localizationAway_dimension_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52696,
+      "path": "data/train/p94/mathlib-001736-0000-a8641f80704b2c6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a8641f80704b2c6dad76d9612f0df39736afe4c770aa24649c2812036412ae11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001737.json b/manifests/batches/mathlib/001737.json
index 98e87f4d253dfb44c6ca1a003ba3c3d85af1946a..86db0ee2e46268af37176d6ab141717c742e2625 100644
--- a/manifests/batches/mathlib/001737.json
+++ b/manifests/batches/mathlib/001737.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001737",
   "batch_fingerprint": "b446a9953445c8344b409d999aff10cc479a4fa5f01f6a695db5caac319b4a68",
   "evidence": {
@@ -1190,29 +1189,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001737-0000-9c05b00ae32a474b.parquet",
-      "sha256": "9c05b00ae32a474b3778b76c74d7fe392c1b01db61269e3efdb9e1515266f0e8",
-      "bytes": 202783,
-      "rows": 38,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001737-0000-53dfeffd6e8ff322.parquet",
-      "sha256": "53dfeffd6e8ff322d9cea0ccb64f7bb40458ed6920f5c8fcd3aa972430b7a5d4",
-      "bytes": 38806,
-      "rows": 1,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001737-0000-76f53567e172d9a0.parquet",
-      "sha256": "76f53567e172d9a087ddc8f23571445c3e4b14d9eb929b2961ff3657ee5f4cf2",
-      "bytes": 62672,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.IsPrincipal.of_comap",
     "mathlib:Irreducible.coprime_iff_not_dvd",
@@ -1268,5 +1245,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/PrincipalIdealDomain.lean\",null,null,\"span_gcd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/QuotSMulTop.lean\",null,null,\"QuotSMulTop.map_comp_mkQ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/QuotSMulTop.lean\",null,null,\"QuotSMulTop.map_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202783,
+      "path": "data/train/paf/mathlib-001737-0000-9c05b00ae32a474b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "9c05b00ae32a474b3778b76c74d7fe392c1b01db61269e3efdb9e1515266f0e8"
+    },
+    {
+      "bytes": 38806,
+      "path": "data/dev/paf/mathlib-001737-0000-53dfeffd6e8ff322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "53dfeffd6e8ff322d9cea0ccb64f7bb40458ed6920f5c8fcd3aa972430b7a5d4"
+    },
+    {
+      "bytes": 62672,
+      "path": "data/internal_test/paf/mathlib-001737-0000-76f53567e172d9a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "76f53567e172d9a087ddc8f23571445c3e4b14d9eb929b2961ff3657ee5f4cf2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001738.json b/manifests/batches/mathlib/001738.json
index dae54934be44abc26075845e4443696240d73687..e0f22a68aa0c3280abb2e6c78c3ceeb8080ab76d 100644
--- a/manifests/batches/mathlib/001738.json
+++ b/manifests/batches/mathlib/001738.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001738",
   "batch_fingerprint": "9ccd2681c80eb143a13641d6f57e7bea6a075aeebdf63ce78110b6628564c1ef",
   "evidence": {
@@ -767,15 +766,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001738-0000-03f925d4dde0025c.parquet",
-      "sha256": "03f925d4dde0025c9e6def121bb0e07ab28ec6159fce40223de33950dcea4e90",
-      "bytes": 49999,
-      "rows": 7,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.isRadical_iff_quotient_reduced",
     "mathlib:mem_reesAlgebra_iff_support",
@@ -785,5 +776,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/QuotientNilpotent.lean\",null,null,\"Ideal.isRadical_iff_quotient_reduced\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/ReesAlgebra.lean\",null,null,\"mem_reesAlgebra_iff_support\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/ReesAlgebra.lean\",null,null,\"reesAlgebra.monomial_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49999,
+      "path": "data/train/p86/mathlib-001738-0000-03f925d4dde0025c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "03f925d4dde0025c9e6def121bb0e07ab28ec6159fce40223de33950dcea4e90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001739.json b/manifests/batches/mathlib/001739.json
index ac791b869737147918bdf0efe470478c74867ece..a478c71d1bbe0ebb11dc1766a0dffd2caec6ac6b 100644
--- a/manifests/batches/mathlib/001739.json
+++ b/manifests/batches/mathlib/001739.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001739",
   "batch_fingerprint": "71cdc020927840b1ff1fa09860053a8c726b3e36652c889acbfc3e98d20a2f25",
   "evidence": {
@@ -1702,29 +1701,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001739-0000-1fd6e8790b59304a.parquet",
-      "sha256": "1fd6e8790b59304af83f2fdd2d5298701ca894d6dec65cdccd4eb2f7337ec6c7",
-      "bytes": 248365,
-      "rows": 22,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001739-0000-79435174da2658d0.parquet",
-      "sha256": "79435174da2658d0fa1681d1bb5509f0f843d6ccc700bbc5f27cb255d03a8185",
-      "bytes": 69281,
-      "rows": 4,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001739-0000-09048e753ead93c1.parquet",
-      "sha256": "09048e753ead93c1ca3d96126c7ce6ed8c1127c49c91c9a886eb6157dc9a8c1f",
-      "bytes": 49152,
-      "rows": 1,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddEquiv.isRegular_congr",
     "mathlib:AddEquiv.isWeaklyRegular_congr",
@@ -1754,5 +1731,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Regular/RegularSequence.lean\",null,null,\"RingTheory.Sequence.isRegular_cons_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Regular/RegularSequence.lean\",null,null,\"RingTheory.Sequence.isRegular_cons_iff'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Regular/RegularSequence.lean\",null,null,\"Submodule.top_eq_ofList_cons_smul_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248365,
+      "path": "data/train/pea/mathlib-001739-0000-1fd6e8790b59304a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "1fd6e8790b59304af83f2fdd2d5298701ca894d6dec65cdccd4eb2f7337ec6c7"
+    },
+    {
+      "bytes": 69281,
+      "path": "data/dev/pea/mathlib-001739-0000-79435174da2658d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "79435174da2658d0fa1681d1bb5509f0f843d6ccc700bbc5f27cb255d03a8185"
+    },
+    {
+      "bytes": 49152,
+      "path": "data/internal_test/pea/mathlib-001739-0000-09048e753ead93c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "09048e753ead93c1ca3d96126c7ce6ed8c1127c49c91c9a886eb6157dc9a8c1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001740.json b/manifests/batches/mathlib/001740.json
index 69f57c50aa68658a43bc0ab5906656dda45fadef..c6b270fbb5fd7cbb2c8f3d70591a74661d8c97ac 100644
--- a/manifests/batches/mathlib/001740.json
+++ b/manifests/batches/mathlib/001740.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001740",
   "batch_fingerprint": "344aa0db31cd5419969efcfb820c53edd88ff4e13b972fb8d1c84b28419f0b02",
   "evidence": {
@@ -842,22 +841,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001740-0000-544706d1a8dae78b.parquet",
-      "sha256": "544706d1a8dae78b20cd3a89be1aee9598cba5ae7be149937dd7472c49e905b5",
-      "bytes": 41345,
-      "rows": 5,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001740-0000-c8485966038970f2.parquet",
-      "sha256": "c8485966038970f2f2c739a4e3d89270bc6bb64e73d471746001824ebcff0b95",
-      "bytes": 35971,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.finiteType_stableUnderComposition",
     "mathlib:RingHom.finite_respectsIso",
@@ -867,5 +851,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/Finite.lean\",null,null,\"RingHom.finite_respectsIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/Finite.lean\",null,null,\"RingHom.finite_stableUnderComposition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/FiniteType.lean\",null,null,\"RingHom.finiteType_stableUnderComposition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41345,
+      "path": "data/train/p4f/mathlib-001740-0000-544706d1a8dae78b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "544706d1a8dae78b20cd3a89be1aee9598cba5ae7be149937dd7472c49e905b5"
+    },
+    {
+      "bytes": 35971,
+      "path": "data/internal_test/p4f/mathlib-001740-0000-c8485966038970f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c8485966038970f2f2c739a4e3d89270bc6bb64e73d471746001824ebcff0b95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001741.json b/manifests/batches/mathlib/001741.json
index 042aba88860e85addf06fc49cbf3e7922bdea1e3..94a0aa6c19de47a5b5ef2e76dd6515a429fde428 100644
--- a/manifests/batches/mathlib/001741.json
+++ b/manifests/batches/mathlib/001741.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001741",
   "batch_fingerprint": "de54c8b007744b26872f2c38b7dcb54c777f023cc780f69ba12a903ed3c87d63",
   "evidence": {
@@ -462,15 +461,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001741-0000-428b0c992f98d25a.parquet",
-      "sha256": "428b0c992f98d25abf30f08eb86e44a7fe962b049a708a9a351049453c397955",
-      "bytes": 50063,
-      "rows": 11,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.isIntegral_respectsIso",
     "mathlib:RingHom.isIntegral_stableUnderComposition",
@@ -482,5 +473,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/Integral.lean\",null,null,\"RingHom.isIntegral_stableUnderComposition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/Surjective.lean\",null,null,\"RingHom.surjective_respectsIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHom/Surjective.lean\",null,null,\"RingHom.surjective_stableUnderComposition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50063,
+      "path": "data/train/p5b/mathlib-001741-0000-428b0c992f98d25a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "428b0c992f98d25abf30f08eb86e44a7fe962b049a708a9a351049453c397955"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001742.json b/manifests/batches/mathlib/001742.json
index 42844c23830396a0f9250e2c575ff8bd1976b9dc..1becc79c2f5fd57d2d18cec7dc40ce9b93a6754a 100644
--- a/manifests/batches/mathlib/001742.json
+++ b/manifests/batches/mathlib/001742.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001742",
   "batch_fingerprint": "d33b5b937aee26f4aa2759247a3442c1c58b161a8299ebb9ac7faa5ec5967651",
   "evidence": {
@@ -531,15 +530,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001742-0000-65cf423c12e852f3.parquet",
-      "sha256": "65cf423c12e852f32e0cc13d7456b56a7f8d32aa60de959d49d4e114cdcab10c",
-      "bytes": 67294,
-      "rows": 11,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:RingHom.RespectsIso.cancel_left_isIso",
     "mathlib:RingHom.RespectsIso.cancel_right_isIso",
@@ -549,5 +540,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHomProperties.lean\",null,null,\"RingHom.RespectsIso.cancel_left_isIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHomProperties.lean\",null,null,\"RingHom.RespectsIso.cancel_right_isIso\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RingHomProperties.lean\",null,null,\"RingHom.StableUnderBaseChange.pushout_inl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67294,
+      "path": "data/train/p89/mathlib-001742-0000-65cf423c12e852f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "65cf423c12e852f32e0cc13d7456b56a7f8d32aa60de959d49d4e114cdcab10c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001743.json b/manifests/batches/mathlib/001743.json
index 4219266fe3923b83ee1e1d7b1be57cd75b4fd569..ed44b77d52000a5ea81a5c3ee2ea3700bb515fb6 100644
--- a/manifests/batches/mathlib/001743.json
+++ b/manifests/batches/mathlib/001743.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001743",
   "batch_fingerprint": "7280d5f4b37b1249810da59c2a7ff4f39640cbbc3bea44e63a2206d4d575d731",
   "evidence": {
@@ -5988,15 +5987,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001743-0000-6078fb2c83abfbb9.parquet",
-      "sha256": "6078fb2c83abfbb9abc033a22bdb7db3e33a2cfd16a5f7efc6d2cfce470c2735",
-      "bytes": 44610,
-      "rows": 5,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Complex.isPrimitiveRoot_exp",
     "mathlib:Complex.norm_eq_one_of_mem_rootsOfUnity"
@@ -6004,5 +5995,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Complex.lean\",null,null,\"Complex.isPrimitiveRoot_exp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Complex.lean\",null,null,\"Complex.norm_eq_one_of_mem_rootsOfUnity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44610,
+      "path": "data/train/p6c/mathlib-001743-0000-6078fb2c83abfbb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6078fb2c83abfbb9abc033a22bdb7db3e33a2cfd16a5f7efc6d2cfce470c2735"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001744.json b/manifests/batches/mathlib/001744.json
index 883b2e87dd240d6822668372c5f91f0271a83c35..59e17221b9edb74c6dacd257de5c1a5eb46fb3d7 100644
--- a/manifests/batches/mathlib/001744.json
+++ b/manifests/batches/mathlib/001744.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001744",
   "batch_fingerprint": "a7ed627e555ecefddfe8200bbe1c03a11f8bddaa9fa02eb2e3a8f0781f5c7412",
   "evidence": {
@@ -1391,28 +1390,29 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:IsPrimitiveRoot.pow_isRoot_minpoly",
+    "mathlib:IsPrimitiveRoot.prod_one_sub_pow_eq_order"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Lemmas.lean\",null,null,\"IsPrimitiveRoot.prod_one_sub_pow_eq_order\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Minpoly.lean\",null,null,\"IsPrimitiveRoot.pow_isRoot_minpoly\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001744-0000-873f3d20a48d5b8c.parquet",
-      "sha256": "873f3d20a48d5b8cd4e5ce1f3c6e3543f7a6264076a802bfe2ec0aa14f3e0f5b",
       "bytes": 51845,
+      "path": "data/train/pf5/mathlib-001744-0000-873f3d20a48d5b8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
+      "sha256": "873f3d20a48d5b8cd4e5ce1f3c6e3543f7a6264076a802bfe2ec0aa14f3e0f5b"
     },
     {
-      "path": "data/internal_test/mathlib-001744-0000-50a9f22261697b87.parquet",
-      "sha256": "50a9f22261697b879196e23f58ebba6f1d1f539d3bf42980207a53ce957ed96c",
       "bytes": 52229,
+      "path": "data/internal_test/pf5/mathlib-001744-0000-50a9f22261697b87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
+      "sha256": "50a9f22261697b879196e23f58ebba6f1d1f539d3bf42980207a53ce957ed96c"
     }
-  ],
-  "proof_ids": [
-    "mathlib:IsPrimitiveRoot.pow_isRoot_minpoly",
-    "mathlib:IsPrimitiveRoot.prod_one_sub_pow_eq_order"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Lemmas.lean\",null,null,\"IsPrimitiveRoot.prod_one_sub_pow_eq_order\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/RootsOfUnity/Minpoly.lean\",null,null,\"IsPrimitiveRoot.pow_isRoot_minpoly\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001745.json b/manifests/batches/mathlib/001745.json
index a2a081a8ea89bf3c08ed5d1156647ca4824e09c4..3ee8cef517d6cfd9e57fcdd04b0f8975fae2e645 100644
--- a/manifests/batches/mathlib/001745.json
+++ b/manifests/batches/mathlib/001745.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001745",
   "batch_fingerprint": "6b31f12614480ecce2ad3ac9fd24b4f0622907eb5e814355d45558ca80b45f0d",
   "evidence": {
@@ -1832,29 +1831,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001745-0000-3f56df27f546f75b.parquet",
-      "sha256": "3f56df27f546f75bba7c324bd72989eed9a16a6f883840c7770ea3f8f15c1b21",
-      "bytes": 134234,
-      "rows": 31,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001745-0000-48f9d5cb7e11fe1b.parquet",
-      "sha256": "48f9d5cb7e11fe1b217fe47b629c51ac6794d051703fbd6b574be64cb414c600",
-      "bytes": 78010,
-      "rows": 5,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001745-0000-7c2f1bd327b1a299.parquet",
-      "sha256": "7c2f1bd327b1a299860510229a1c1250ba827c41e6c39a218c4df5492ce86663",
-      "bytes": 84209,
-      "rows": 13,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsSemisimpleModule.annihilator_isRadical",
     "mathlib:IsSemisimpleModule.eq_bot_or_exists_simple_le",
@@ -1902,5 +1879,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/SimpleModule.lean\",null,null,\"isSimpleModule_iff_isCoatom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/SimpleModule.lean\",null,null,\"isSimpleModule_iff_toSpanSingleton_surjective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/SimpleModule.lean\",null,null,\"isSimpleModule_self_iff_isUnit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134234,
+      "path": "data/train/pd6/mathlib-001745-0000-3f56df27f546f75b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "3f56df27f546f75bba7c324bd72989eed9a16a6f883840c7770ea3f8f15c1b21"
+    },
+    {
+      "bytes": 78010,
+      "path": "data/dev/pd6/mathlib-001745-0000-48f9d5cb7e11fe1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "48f9d5cb7e11fe1b217fe47b629c51ac6794d051703fbd6b574be64cb414c600"
+    },
+    {
+      "bytes": 84209,
+      "path": "data/internal_test/pd6/mathlib-001745-0000-7c2f1bd327b1a299.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7c2f1bd327b1a299860510229a1c1250ba827c41e6c39a218c4df5492ce86663"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001746.json b/manifests/batches/mathlib/001746.json
index eaec4423262d65d63c5d99bfbb59471fd169862b..f84c1a72a149e1587e9443ba6fad19f2c5732721 100644
--- a/manifests/batches/mathlib/001746.json
+++ b/manifests/batches/mathlib/001746.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001746",
   "batch_fingerprint": "169dca4d058153127932becf1d50693855a0286809fcd18aee3f088ac3b156c4",
   "evidence": {
@@ -2922,29 +2921,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001746-0000-1e0e3f7501a8cc91.parquet",
-      "sha256": "1e0e3f7501a8cc91a8e1282ab3abc9ec667b7491a785990cc3b4b252a34d5600",
-      "bytes": 122725,
-      "rows": 10,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001746-0000-da866fe8d366b798.parquet",
-      "sha256": "da866fe8d366b7982036cf464da65f032d443ab4d97c3ec835e95d709ff9f55a",
-      "bytes": 66025,
-      "rows": 4,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001746-0000-c3b01bbb37a49c83.parquet",
-      "sha256": "c3b01bbb37a49c83830a6e62e5e768aaa29a4f0f3e4efcb7db3d76f3fcd71ca0",
-      "bytes": 55163,
-      "rows": 1,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:MvPolynomial.algebraTensorAlgEquiv_symm_X",
     "mathlib:MvPolynomial.algebraTensorAlgEquiv_tmul",
@@ -2966,5 +2943,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/TensorProduct/MvPolynomial.lean\",null,null,\"MvPolynomial.rTensor_apply_monomial_tmul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/TensorProduct/MvPolynomial.lean\",null,null,\"MvPolynomial.scalarRTensor_apply_X_tmul_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/TensorProduct/MvPolynomial.lean\",null,null,\"MvPolynomial.scalarRTensor_apply_monomial_tmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122725,
+      "path": "data/train/p81/mathlib-001746-0000-1e0e3f7501a8cc91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1e0e3f7501a8cc91a8e1282ab3abc9ec667b7491a785990cc3b4b252a34d5600"
+    },
+    {
+      "bytes": 66025,
+      "path": "data/dev/p81/mathlib-001746-0000-da866fe8d366b798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "da866fe8d366b7982036cf464da65f032d443ab4d97c3ec835e95d709ff9f55a"
+    },
+    {
+      "bytes": 55163,
+      "path": "data/internal_test/p81/mathlib-001746-0000-c3b01bbb37a49c83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c3b01bbb37a49c83830a6e62e5e768aaa29a4f0f3e4efcb7db3d76f3fcd71ca0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001747.json b/manifests/batches/mathlib/001747.json
index ff0da06a35dac32615fc752c3386095ddfc01623..b7df6a80f57fdc40965e9d852b544acdd6986e16 100644
--- a/manifests/batches/mathlib/001747.json
+++ b/manifests/batches/mathlib/001747.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001747",
   "batch_fingerprint": "f95abf63efc5b383edf4643a04bed08fa43aac3d48d23324050a7ffa584be8d5",
   "evidence": {
@@ -9022,29 +9021,7 @@
     "validation_rejected_proofs": 33,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001747-0000-74104034c4715624.parquet",
-      "sha256": "74104034c471562430f1860fb25bd94a446692676c562330b7e989e6d7334f8b",
-      "bytes": 827664,
-      "rows": 166,
-      "revision": "385ad015451cca5efed963e83a2b03fb8bc5cbcc"
-    },
-    {
-      "path": "data/dev/mathlib-001747-0000-83ba35bcb15023ea.parquet",
-      "sha256": "83ba35bcb15023eaf5d26db22660ba1a615b7c8bf9e5e3d9b0c07c18fd1fc8b9",
-      "bytes": 72504,
-      "rows": 12,
-      "revision": "385ad015451cca5efed963e83a2b03fb8bc5cbcc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001747-0000-b1a2242c311ebc72.parquet",
-      "sha256": "b1a2242c311ebc726ff81fabaec8fca064e05d6b98931494db3e475ae6ccf3de",
-      "bytes": 175380,
-      "rows": 37,
-      "revision": "385ad015451cca5efed963e83a2b03fb8bc5cbcc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.embeddingsMatrixReindex_eq_vandermonde",
     "mathlib:Algebra.traceForm_toMatrix",
@@ -9212,5 +9189,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/UniqueFactorizationDomain.lean\",null,null,\"factorization_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/UniqueFactorizationDomain.lean\",null,null,\"factorization_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/UniqueFactorizationDomain.lean\",null,null,\"support_factorization\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 827664,
+      "path": "data/train/pff/mathlib-001747-0000-74104034c4715624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 166,
+      "sha256": "74104034c471562430f1860fb25bd94a446692676c562330b7e989e6d7334f8b"
+    },
+    {
+      "bytes": 72504,
+      "path": "data/dev/pff/mathlib-001747-0000-83ba35bcb15023ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "83ba35bcb15023eaf5d26db22660ba1a615b7c8bf9e5e3d9b0c07c18fd1fc8b9"
+    },
+    {
+      "bytes": 175380,
+      "path": "data/internal_test/pff/mathlib-001747-0000-b1a2242c311ebc72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "b1a2242c311ebc726ff81fabaec8fca064e05d6b98931494db3e475ae6ccf3de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001748.json b/manifests/batches/mathlib/001748.json
index c050d754399a8957e254abcfaef9d33770e0bbb2..2090cb62a435571e4266e7de94b10c545eaf4ab5 100644
--- a/manifests/batches/mathlib/001748.json
+++ b/manifests/batches/mathlib/001748.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001748",
   "batch_fingerprint": "4416e0f3a3887c8eda59e29a8a01691e905364253dc2b72c33191c9ff90938eb",
   "evidence": {
@@ -552,29 +551,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001748-0000-dec331e5ceb72e15.parquet",
-      "sha256": "dec331e5ceb72e1555400b25dabe669e7032382ae170ad76c93554ad3f6552cd",
-      "bytes": 59388,
-      "rows": 9,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001748-0000-a4420f9e87a945f4.parquet",
-      "sha256": "a4420f9e87a945f4ab5561057dbaa369c0d24781f6873efc687b7fb3bbea3b9c",
-      "bytes": 61926,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001748-0000-9cc1ea9c94a4d0d0.parquet",
-      "sha256": "9cc1ea9c94a4d0d01ef9c0b10e41560f93276451ea6a62faa9359ead9c6815d9",
-      "bytes": 82652,
-      "rows": 11,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Algebra.FormallyUnramified.lift_unique_of_ringHom",
     "mathlib:Algebra.FormallyUnramified.localization_map",
@@ -588,5 +565,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Unramified/Basic.lean\",null,null,\"Algebra.FormallyUnramified.of_comp\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Unramified/Basic.lean\",null,null,\"Algebra.FormallyUnramified.of_equiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Unramified/Basic.lean\",null,null,\"Algebra.FormallyUnramified.of_isLocalization\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59388,
+      "path": "data/train/pb3/mathlib-001748-0000-dec331e5ceb72e15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dec331e5ceb72e1555400b25dabe669e7032382ae170ad76c93554ad3f6552cd"
+    },
+    {
+      "bytes": 61926,
+      "path": "data/dev/pb3/mathlib-001748-0000-a4420f9e87a945f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a4420f9e87a945f4ab5561057dbaa369c0d24781f6873efc687b7fb3bbea3b9c"
+    },
+    {
+      "bytes": 82652,
+      "path": "data/internal_test/pb3/mathlib-001748-0000-9cc1ea9c94a4d0d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9cc1ea9c94a4d0d01ef9c0b10e41560f93276451ea6a62faa9359ead9c6815d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001749.json b/manifests/batches/mathlib/001749.json
index 1c0308bf7fc0232f1e928fd2ff47dffa637dbff1..d27073e97a2667f804e7487681a52007d8cce993 100644
--- a/manifests/batches/mathlib/001749.json
+++ b/manifests/batches/mathlib/001749.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001749",
   "batch_fingerprint": "2ab8a37a59c20f89da6d862a4c5581dce0e4179c72bf05536e2f23ebb55d71a0",
   "evidence": {
@@ -2523,29 +2522,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001749-0000-d1298f94d073c471.parquet",
-      "sha256": "d1298f94d073c47148d4ca6a0b11bac0f5bf997b33a5c15fa4aa7571e72db4f7",
-      "bytes": 103540,
-      "rows": 29,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001749-0000-02db77003438a236.parquet",
-      "sha256": "02db77003438a236b7c016263a426bc30f3002d82d5589336e623c39d2a81556",
-      "bytes": 63813,
-      "rows": 4,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001749-0000-3e60e11b00cccd41.parquet",
-      "sha256": "3e60e11b00cccd4137e674d9ac8ebc8f91b2fd66deb059f24de99ebc113733f2",
-      "bytes": 69147,
-      "rows": 3,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddValuation.map_add'",
     "mathlib:Valuation.IsEquiv.ne_zero",
@@ -2581,5 +2558,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Basic.lean\",null,null,\"Valuation.map_sum_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Basic.lean\",null,null,\"Valuation.map_sum_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Basic.lean\",null,null,\"Valuation.one_lt_val_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103540,
+      "path": "data/train/pf2/mathlib-001749-0000-d1298f94d073c471.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d1298f94d073c47148d4ca6a0b11bac0f5bf997b33a5c15fa4aa7571e72db4f7"
+    },
+    {
+      "bytes": 63813,
+      "path": "data/dev/pf2/mathlib-001749-0000-02db77003438a236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "02db77003438a236b7c016263a426bc30f3002d82d5589336e623c39d2a81556"
+    },
+    {
+      "bytes": 69147,
+      "path": "data/internal_test/pf2/mathlib-001749-0000-3e60e11b00cccd41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3e60e11b00cccd4137e674d9ac8ebc8f91b2fd66deb059f24de99ebc113733f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001750.json b/manifests/batches/mathlib/001750.json
index 56bf5c449064cb484acae24830faca71f36ed40c..323651c4f4b6f8dfa5ab81a7071e1ba2df1110a1 100644
--- a/manifests/batches/mathlib/001750.json
+++ b/manifests/batches/mathlib/001750.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001750",
   "batch_fingerprint": "5122ec6e43461f2cf4cf294616fc1ad216acb25de62d5f8c4be83b8da264eace",
   "evidence": {
@@ -309,22 +308,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001750-0000-784d8cffce62372a.parquet",
-      "sha256": "784d8cffce62372a54437beebda7059b8ccab7ac670304ba53957c30004434a5",
-      "bytes": 70803,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001750-0000-dc85e6f433039b88.parquet",
-      "sha256": "dc85e6f433039b88ff614e6d33c99f860fc7be2836acbb08014a83450615fc34",
-      "bytes": 64837,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Valuation.Integers.dvd_of_le",
     "mathlib:Valuation.Integers.le_of_dvd",
@@ -336,5 +320,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Integers.lean\",null,null,\"Valuation.Integers.le_of_dvd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Integers.lean\",null,null,\"Valuation.Integers.one_of_isUnit'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Integers.lean\",null,null,\"Valuation.mem_integer_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70803,
+      "path": "data/train/p78/mathlib-001750-0000-784d8cffce62372a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "784d8cffce62372a54437beebda7059b8ccab7ac670304ba53957c30004434a5"
+    },
+    {
+      "bytes": 64837,
+      "path": "data/internal_test/p78/mathlib-001750-0000-dc85e6f433039b88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc85e6f433039b88ff614e6d33c99f860fc7be2836acbb08014a83450615fc34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001751.json b/manifests/batches/mathlib/001751.json
index 3ae4cf6b7448b6cf8889544a5b50dca50e2bd304..7ee016c864e343266dbf417a9fd3380a2755b90e 100644
--- a/manifests/batches/mathlib/001751.json
+++ b/manifests/batches/mathlib/001751.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001751",
   "batch_fingerprint": "b321165cd6f39c2f47aeb9a0c409c0d601ffdcc8de0ca312ac726d04e9e0787f",
   "evidence": {
@@ -263,15 +262,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001751-0000-3d78439b61eb4e3c.parquet",
-      "sha256": "3d78439b61eb4e3c8acb6c726859cac5f98e6f73f3e00e48bd458786dcfa6bff",
-      "bytes": 50637,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Valuation.comap_onQuot_eq",
     "mathlib:Valuation.self_le_supp_comap",
@@ -281,5 +272,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Quotient.lean\",null,null,\"Valuation.comap_onQuot_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Quotient.lean\",null,null,\"Valuation.self_le_supp_comap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/Quotient.lean\",null,null,\"Valuation.supp_quot_supp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50637,
+      "path": "data/train/p58/mathlib-001751-0000-3d78439b61eb4e3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3d78439b61eb4e3c8acb6c726859cac5f98e6f73f3e00e48bd458786dcfa6bff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001752.json b/manifests/batches/mathlib/001752.json
index b6eb4c393cf30da29fe2b417b6563c38ce116b02..7f1bc49e97f9ee4dda2287a300a20e1e68969576 100644
--- a/manifests/batches/mathlib/001752.json
+++ b/manifests/batches/mathlib/001752.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001752",
   "batch_fingerprint": "635d61ed79459fc17940d8ad560808c2d11cff93877f772fe4dbc2f3a7476cdb",
   "evidence": {
@@ -1170,15 +1169,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001752-0000-c29abde1c37e4345.parquet",
-      "sha256": "c29abde1c37e434554cfd79f64c2d34870c5300591d722138c10737fe25ab74a",
-      "bytes": 44258,
-      "rows": 3,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Valuation.RankOne.hom_eq_zero_iff",
     "mathlib:Valuation.RankOne.unit_ne_one"
@@ -1186,5 +1177,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/RankOne.lean\",null,null,\"Valuation.RankOne.hom_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/Valuation/RankOne.lean\",null,null,\"Valuation.RankOne.unit_ne_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44258,
+      "path": "data/train/p26/mathlib-001752-0000-c29abde1c37e4345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c29abde1c37e434554cfd79f64c2d34870c5300591d722138c10737fe25ab74a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001753.json b/manifests/batches/mathlib/001753.json
index a722553f0ace6b5d8eb291a5d6bbbb82aff11130..e0ae518e45d962dbcbf7b1342140756b54cacbc8 100644
--- a/manifests/batches/mathlib/001753.json
+++ b/manifests/batches/mathlib/001753.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001753",
   "batch_fingerprint": "36fc614011eef9d77786fc02fda9638aac63cd63256f71daecccaa4cd52aef94",
   "evidence": {
@@ -2963,22 +2962,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001753-0000-b76a26ed51c39438.parquet",
-      "sha256": "b76a26ed51c39438e56e5cbebddee285dd4ade5de0395f5c636e06ebc9e56fe9",
-      "bytes": 75554,
-      "rows": 25,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001753-0000-d18f94c9062ae09a.parquet",
-      "sha256": "d18f94c9062ae09ae1f65233aee69785a672fa1aef1da2d6dc202869f04c0a24",
-      "bytes": 38038,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.ghostFun_add",
     "mathlib:WittVector.ghostFun_intCast",
@@ -3030,5 +3014,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Basic.lean\",null,null,\"WittVector.mapFun.zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Basic.lean\",null,null,\"WittVector.mapFun.zsmul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Basic.lean\",null,null,\"WittVector.matrix_vecEmpty_coeff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75554,
+      "path": "data/train/pe8/mathlib-001753-0000-b76a26ed51c39438.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b76a26ed51c39438e56e5cbebddee285dd4ade5de0395f5c636e06ebc9e56fe9"
+    },
+    {
+      "bytes": 38038,
+      "path": "data/dev/pe8/mathlib-001753-0000-d18f94c9062ae09a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d18f94c9062ae09ae1f65233aee69785a672fa1aef1da2d6dc202869f04c0a24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001754.json b/manifests/batches/mathlib/001754.json
index 41ffeb219b928fcc0e6d25eaf562f57b808a90a6..747475c4b363fe57b87cbe4547d567e8cdcc27f2 100644
--- a/manifests/batches/mathlib/001754.json
+++ b/manifests/batches/mathlib/001754.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001754",
   "batch_fingerprint": "58341dda87d9ec94a71567d700dd6956a8b9128926498041c5a03d27319e1b41",
   "evidence": {
@@ -701,29 +700,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001754-0000-4bacdeb220895984.parquet",
-      "sha256": "4bacdeb2208959843af393c2013bb9173c2ab292091406254813f7c26dc471e1",
-      "bytes": 196842,
-      "rows": 53,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001754-0000-92c9bffb91adb3b6.parquet",
-      "sha256": "92c9bffb91adb3b64b5713a834c05c56543bb37201e14babd39848a494cb9a62",
-      "bytes": 47614,
-      "rows": 3,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001754-0000-604f0e8cc8c57d85.parquet",
-      "sha256": "604f0e8cc8c57d8575b493f722c548f548b1c61c2e32cdb5ecbc40d22cc06321",
-      "bytes": 27282,
-      "rows": 1,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TruncatedWittVector.card_zmod",
     "mathlib:TruncatedWittVector.commutes'",
@@ -787,5 +764,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Defs.lean\",null,null,\"WittVector.wittSub_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Defs.lean\",null,null,\"WittVector.wittZero_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Defs.lean\",null,null,\"WittVector.zero_coeff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196842,
+      "path": "data/train/p68/mathlib-001754-0000-4bacdeb220895984.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "4bacdeb2208959843af393c2013bb9173c2ab292091406254813f7c26dc471e1"
+    },
+    {
+      "bytes": 47614,
+      "path": "data/dev/p68/mathlib-001754-0000-92c9bffb91adb3b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "92c9bffb91adb3b64b5713a834c05c56543bb37201e14babd39848a494cb9a62"
+    },
+    {
+      "bytes": 27282,
+      "path": "data/internal_test/p68/mathlib-001754-0000-604f0e8cc8c57d85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "604f0e8cc8c57d8575b493f722c548f548b1c61c2e32cdb5ecbc40d22cc06321"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001755.json b/manifests/batches/mathlib/001755.json
index 8edc9f961cd0cc6efec68559f326573f9242317d..291f4214a23135763191dcdcec51a18f24ebe39b 100644
--- a/manifests/batches/mathlib/001755.json
+++ b/manifests/batches/mathlib/001755.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001755",
   "batch_fingerprint": "2fd6c9db4d8a92ab846cd64ba02799513739754a8214a2c6b6a85dab514467d4",
   "evidence": {
@@ -687,15 +686,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001755-0000-4a3b2150669974f3.parquet",
-      "sha256": "4a3b2150669974f3976f2d0ad28c25e26dc9efd6fe1bce03204313813e1800e1",
-      "bytes": 71938,
-      "rows": 10,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.discreteValuationRing",
     "mathlib:WittVector.exists_eq_pow_p_mul'",
@@ -705,5 +696,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/DiscreteValuationRing.lean\",null,null,\"WittVector.discreteValuationRing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/DiscreteValuationRing.lean\",null,null,\"WittVector.exists_eq_pow_p_mul'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/DiscreteValuationRing.lean\",null,null,\"WittVector.isUnit_of_coeff_zero_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71938,
+      "path": "data/train/pbb/mathlib-001755-0000-4a3b2150669974f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4a3b2150669974f3976f2d0ad28c25e26dc9efd6fe1bce03204313813e1800e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001756.json b/manifests/batches/mathlib/001756.json
index 2f228ba85c343964fa2e7ea9d7ba0be07df6d203..5ae4f420da9a6942d9ee3ce39015f9eb4c10b16b 100644
--- a/manifests/batches/mathlib/001756.json
+++ b/manifests/batches/mathlib/001756.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001756",
   "batch_fingerprint": "721a1e11d6fc212c1b19f0662aac9e48310c30a2255d886816a823b17117b360",
   "evidence": {
@@ -1357,22 +1356,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001756-0000-d98c31a39a67f202.parquet",
-      "sha256": "d98c31a39a67f2022eef9b54c81b9926ae62b606693cab823ab37d8b96895abd",
-      "bytes": 100794,
-      "rows": 16,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001756-0000-fa2bc953bcc41e6d.parquet",
-      "sha256": "fa2bc953bcc41e6d24c48544bd871c2ea52ac3d9709b791a8f1766490bcc8242",
-      "bytes": 73017,
-      "rows": 8,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.RecursionMain.root_exists",
     "mathlib:WittVector.RecursionMain.succNthVal_spec'",
@@ -1400,5 +1384,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/FrobeniusFractionField.lean\",null,null,\"WittVector.RecursionMain.root_exists\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/FrobeniusFractionField.lean\",null,null,\"WittVector.RecursionMain.succNthVal_spec'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/FrobeniusFractionField.lean\",null,null,\"WittVector.frobeniusRotation_nonzero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100794,
+      "path": "data/train/p59/mathlib-001756-0000-d98c31a39a67f202.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d98c31a39a67f2022eef9b54c81b9926ae62b606693cab823ab37d8b96895abd"
+    },
+    {
+      "bytes": 73017,
+      "path": "data/internal_test/p59/mathlib-001756-0000-fa2bc953bcc41e6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fa2bc953bcc41e6d24c48544bd871c2ea52ac3d9709b791a8f1766490bcc8242"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001757.json b/manifests/batches/mathlib/001757.json
index afd26acc832605cf20360368f8a7bf963090ea97..357f851648038c7663e1e4512727c324727daa8f 100644
--- a/manifests/batches/mathlib/001757.json
+++ b/manifests/batches/mathlib/001757.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001757",
   "batch_fingerprint": "fb1dccfcb800970e5cd8407497c10203ed81633cc07f9fb211af1ff260758e37",
   "evidence": {
@@ -1082,22 +1081,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001757-0000-c6a7a73a52a9a1cd.parquet",
-      "sha256": "c6a7a73a52a9a1cdd478903d50b25acdc4fba2c111da1e91bc98d723df8b50f1",
-      "bytes": 98114,
-      "rows": 29,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001757-0000-fa74a6fa5ff2b696.parquet",
-      "sha256": "fa74a6fa5ff2b696e4451460c0dada122455ce35b7cc0956099e4d812e275f77",
-      "bytes": 32046,
-      "rows": 1,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.FractionRing.p_nonzero",
     "mathlib:WittVector.coeff_p_one",
@@ -1139,5 +1123,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/InitTail.lean\",null,null,\"WittVector.init_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/InitTail.lean\",null,null,\"WittVector.init_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/InitTail.lean\",null,null,\"WittVector.init_zsmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98114,
+      "path": "data/train/pbb/mathlib-001757-0000-c6a7a73a52a9a1cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c6a7a73a52a9a1cdd478903d50b25acdc4fba2c111da1e91bc98d723df8b50f1"
+    },
+    {
+      "bytes": 32046,
+      "path": "data/internal_test/pbb/mathlib-001757-0000-fa74a6fa5ff2b696.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa74a6fa5ff2b696e4451460c0dada122455ce35b7cc0956099e4d812e275f77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001758.json b/manifests/batches/mathlib/001758.json
index 326fa6954c9046ac93b74f20420a4294be50643b..ac7e86e36635cefe2e2dc7a7cd2770b3d3e51138 100644
--- a/manifests/batches/mathlib/001758.json
+++ b/manifests/batches/mathlib/001758.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001758",
   "batch_fingerprint": "a7e0b926b26c6a0c9dfead74106eae5858e24e0611dd88e52b4da782cb40ca6a",
   "evidence": {
@@ -875,22 +874,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001758-0000-ee635fc83e41b816.parquet",
-      "sha256": "ee635fc83e41b816f0d056f4ad62bb7ce2ada1baec7d0f978c5a0e2e718b3871",
-      "bytes": 70816,
-      "rows": 11,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001758-0000-cf3d7158c48012ba.parquet",
-      "sha256": "cf3d7158c48012bab6d86fd35385a71fae57d23c6bf8d633196aae5d798855d0",
-      "bytes": 78740,
-      "rows": 12,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.IsPoly.map",
     "mathlib:WittVector.IsPoly\u2082.map",
@@ -904,5 +888,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/IsPoly.lean\",null,null,\"WittVector.bind\u2081_zero_wittPolynomial\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/IsPoly.lean\",null,null,\"WittVector.poly_eq_of_wittPolynomial_bind_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/IsPoly.lean\",null,null,\"WittVector.poly_eq_of_wittPolynomial_bind_eq'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70816,
+      "path": "data/train/p40/mathlib-001758-0000-ee635fc83e41b816.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ee635fc83e41b816f0d056f4ad62bb7ce2ada1baec7d0f978c5a0e2e718b3871"
+    },
+    {
+      "bytes": 78740,
+      "path": "data/internal_test/p40/mathlib-001758-0000-cf3d7158c48012ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cf3d7158c48012bab6d86fd35385a71fae57d23c6bf8d633196aae5d798855d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001759.json b/manifests/batches/mathlib/001759.json
index 40185104b9cf50f2cf695181a040e7f88f114637..8d0969358c286b5d4c76aae14c38e0753f15b631 100644
--- a/manifests/batches/mathlib/001759.json
+++ b/manifests/batches/mathlib/001759.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001759",
   "batch_fingerprint": "7e7087826a282277d847fb1b45fe1be3b3ecc3b976190aa6a536bfd07f9c6491",
   "evidence": {
@@ -1252,22 +1251,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001759-0000-de13a813e191bd4f.parquet",
-      "sha256": "de13a813e191bd4f27cb773bf58aab34a00ea41179534dbdc6e9169e27d61b97",
-      "bytes": 94021,
-      "rows": 12,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001759-0000-721fd425c6e8e114.parquet",
-      "sha256": "721fd425c6e8e114936ff93c4c96b285925f73c8d93c8bee73ae9eef8f7231c2",
-      "bytes": 60955,
-      "rows": 8,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.mulN_isPoly",
     "mathlib:WittVector.mul_polyOfInterest_aux2",
@@ -1285,5 +1269,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/MulCoeff.lean\",null,null,\"WittVector.peval_polyOfInterest\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/MulCoeff.lean\",null,null,\"WittVector.polyOfInterest_vars\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/MulP.lean\",null,null,\"WittVector.mulN_isPoly\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94021,
+      "path": "data/train/p35/mathlib-001759-0000-de13a813e191bd4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "de13a813e191bd4f27cb773bf58aab34a00ea41179534dbdc6e9169e27d61b97"
+    },
+    {
+      "bytes": 60955,
+      "path": "data/internal_test/p35/mathlib-001759-0000-721fd425c6e8e114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "721fd425c6e8e114936ff93c4c96b285925f73c8d93c8bee73ae9eef8f7231c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001760.json b/manifests/batches/mathlib/001760.json
index c82b5d948fb8258ff1ebdcb67a1db82cd315ab97..61ffd63891952e7985bb67e6c5451a46ebdc625a 100644
--- a/manifests/batches/mathlib/001760.json
+++ b/manifests/batches/mathlib/001760.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001760",
   "batch_fingerprint": "ba32e34b76960e621cee3e3ea17ecd760f74eb5946de7c4483e68d6fb70729df",
   "evidence": {
@@ -1032,29 +1031,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001760-0000-6965a1610c0dbfa1.parquet",
-      "sha256": "6965a1610c0dbfa1c4c63b7f224c74d7d4c005011bf2c08331cd19d63348e8e3",
-      "bytes": 251446,
-      "rows": 36,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001760-0000-0bce00b76240da02.parquet",
-      "sha256": "0bce00b76240da029f9d5a5f002a8b0627da293413d0632c0aa76f40ad26b304",
-      "bytes": 66116,
-      "rows": 10,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001760-0000-c85f84cb0294aea5.parquet",
-      "sha256": "c85f84cb0294aea5e41e8fed088734deebeac1d008cd925d023018719c030d1e",
-      "bytes": 64040,
-      "rows": 2,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:WittVector.teichmuller_mul_aux\u2081",
     "mathlib:WittVector.teichmuller_mul_aux\u2082",
@@ -1078,5 +1055,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Teichmuller.lean\",null,null,\"WittVector.teichmuller_mul_aux\u2081\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Teichmuller.lean\",null,null,\"WittVector.teichmuller_mul_aux\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Teichmuller.lean\",null,null,\"WittVector.teichmuller_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251446,
+      "path": "data/train/p96/mathlib-001760-0000-6965a1610c0dbfa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "6965a1610c0dbfa1c4c63b7f224c74d7d4c005011bf2c08331cd19d63348e8e3"
+    },
+    {
+      "bytes": 66116,
+      "path": "data/dev/p96/mathlib-001760-0000-0bce00b76240da02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0bce00b76240da029f9d5a5f002a8b0627da293413d0632c0aa76f40ad26b304"
+    },
+    {
+      "bytes": 64040,
+      "path": "data/internal_test/p96/mathlib-001760-0000-c85f84cb0294aea5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c85f84cb0294aea5e41e8fed088734deebeac1d008cd925d023018719c030d1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001761.json b/manifests/batches/mathlib/001761.json
index 30cbcc8054cb4e8f1f8c02c090a05e334eeceaba..7aa76858c8d699bf0d968d0e0b88e1595089a7b1 100644
--- a/manifests/batches/mathlib/001761.json
+++ b/manifests/batches/mathlib/001761.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001761",
   "batch_fingerprint": "db4e31b7403ec42bc510bdd92cac813fc39bebf3bad5bbb8c417fa993cd978db",
   "evidence": {
@@ -846,29 +845,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001761-0000-82df185e76b1d834.parquet",
-      "sha256": "82df185e76b1d834b24119545fb8e1027ecec9f72811b2d1c3cbcc7f0dd5a60f",
-      "bytes": 149855,
-      "rows": 37,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/dev/mathlib-001761-0000-4fbbc65aa832d2fe.parquet",
-      "sha256": "4fbbc65aa832d2fe30e478081110da9f6f52460d759650b67a99cb9efdea52e5",
-      "bytes": 50072,
-      "rows": 6,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    },
-    {
-      "path": "data/internal_test/mathlib-001761-0000-46c2344550522834.parquet",
-      "sha256": "46c2344550522834e28ee35df341bd02fad4ad3b48126ca8b4fd282382d4665f",
-      "bytes": 49224,
-      "rows": 8,
-      "revision": "d5c0fcbd39562d094ee580fd7513d531b92b7ad9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TruncatedWittVector.card",
     "mathlib:TruncatedWittVector.coeff_out",
@@ -924,5 +901,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Verschiebung.lean\",null,null,\"WittVector.ghostComponent_verschiebungFun\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Verschiebung.lean\",null,null,\"WittVector.verschiebungFun_coeff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/WittVector/Verschiebung.lean\",null,null,\"WittVector.verschiebungFun_coeff_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149855,
+      "path": "data/train/p35/mathlib-001761-0000-82df185e76b1d834.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "82df185e76b1d834b24119545fb8e1027ecec9f72811b2d1c3cbcc7f0dd5a60f"
+    },
+    {
+      "bytes": 50072,
+      "path": "data/dev/p35/mathlib-001761-0000-4fbbc65aa832d2fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4fbbc65aa832d2fe30e478081110da9f6f52460d759650b67a99cb9efdea52e5"
+    },
+    {
+      "bytes": 49224,
+      "path": "data/internal_test/p35/mathlib-001761-0000-46c2344550522834.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "46c2344550522834e28ee35df341bd02fad4ad3b48126ca8b4fd282382d4665f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001762.json b/manifests/batches/mathlib/001762.json
index 29298c6674aea58420478674f02fbab2077e5c7b..a3408c184813289a98976db51259e1045429651b 100644
--- a/manifests/batches/mathlib/001762.json
+++ b/manifests/batches/mathlib/001762.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001762",
   "batch_fingerprint": "47fce0b37dca03c9890ea34befa30735cf0cc0eeccf32d8a9732de8ea526a464",
   "evidence": {
@@ -532,29 +531,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001762-0000-6132df26eba5d7e7.parquet",
-      "sha256": "6132df26eba5d7e77b66369064deda1261c69115f0a80be776203e6212528af3",
-      "bytes": 188215,
-      "rows": 34,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001762-0000-26d4638b844cc798.parquet",
-      "sha256": "26d4638b844cc7989cbe69583359c45bde27ca72086913f0176985924d4b47f7",
-      "bytes": 62946,
-      "rows": 4,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001762-0000-5b50bf1239704f26.parquet",
-      "sha256": "5b50bf1239704f260eee82ec5e06c7d55ea925b4db3242e44e6de0bbd8ef5bd8",
-      "bytes": 67585,
-      "rows": 12,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ZMod.ker_intCastRingHom",
     "mathlib:ZMod.ringHom_eq_of_ker_eq",
@@ -590,5 +567,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/ZMod.lean\",null,null,\"ZMod.ker_intCastRingHom\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/ZMod.lean\",null,null,\"ZMod.ringHom_eq_of_ker_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/RingTheory/ZMod.lean\",null,null,\"isReduced_zmod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188215,
+      "path": "data/train/p86/mathlib-001762-0000-6132df26eba5d7e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "6132df26eba5d7e77b66369064deda1261c69115f0a80be776203e6212528af3"
+    },
+    {
+      "bytes": 62946,
+      "path": "data/dev/p86/mathlib-001762-0000-26d4638b844cc798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "26d4638b844cc7989cbe69583359c45bde27ca72086913f0176985924d4b47f7"
+    },
+    {
+      "bytes": 67585,
+      "path": "data/internal_test/p86/mathlib-001762-0000-5b50bf1239704f26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5b50bf1239704f260eee82ec5e06c7d55ea925b4db3242e44e6de0bbd8ef5bd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001763.json b/manifests/batches/mathlib/001763.json
index e189235efbc8f79b036d1a5a642ae17899b8c56a..4ed04f89f915bef35543578a20a76ae1f2f1e38f 100644
--- a/manifests/batches/mathlib/001763.json
+++ b/manifests/batches/mathlib/001763.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001763",
   "batch_fingerprint": "f9a02569110b055f737d754520e7750021324f096280bb91f445b21e3a718fd9",
   "evidence": {
@@ -10792,29 +10791,7 @@
     "validation_rejected_proofs": 30,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001763-0000-ed40b7a2b144d74d.parquet",
-      "sha256": "ed40b7a2b144d74d0a8e1b14b2bc5c31689265b58774091f95e87a8d09b8ea0f",
-      "bytes": 806145,
-      "rows": 294,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001763-0000-c793d4b8ff612280.parquet",
-      "sha256": "c793d4b8ff6122808a1865309fd9b3162c419f2797a75f0120891ec7599a92c4",
-      "bytes": 79825,
-      "rows": 26,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001763-0000-f8146239b4451d82.parquet",
-      "sha256": "f8146239b4451d8236b04dfa93455b656bfcde1887eccfa715c358223a8346ef",
-      "bytes": 141881,
-      "rows": 40,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.IsLimit.aleph0_le",
     "mathlib:Cardinal.IsRegular.ord_pos",
@@ -11198,5 +11175,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Cofinality.lean\",null,null,\"Ordinal.unbounded_of_unbounded_iUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Cofinality.lean\",null,null,\"Ordinal.unbounded_of_unbounded_sUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Cofinality.lean\",null,null,\"RelIso.cof_le_lift\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 806145,
+      "path": "data/train/p76/mathlib-001763-0000-ed40b7a2b144d74d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 294,
+      "sha256": "ed40b7a2b144d74d0a8e1b14b2bc5c31689265b58774091f95e87a8d09b8ea0f"
+    },
+    {
+      "bytes": 79825,
+      "path": "data/dev/p76/mathlib-001763-0000-c793d4b8ff612280.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c793d4b8ff6122808a1865309fd9b3162c419f2797a75f0120891ec7599a92c4"
+    },
+    {
+      "bytes": 141881,
+      "path": "data/internal_test/p76/mathlib-001763-0000-f8146239b4451d82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f8146239b4451d8236b04dfa93455b656bfcde1887eccfa715c358223a8346ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001764.json b/manifests/batches/mathlib/001764.json
index 356b59929b08a8f30c548ce61bcc100c0828416d..66756d3e27d28789e3d045e1da4826e27a4cf4e5 100644
--- a/manifests/batches/mathlib/001764.json
+++ b/manifests/batches/mathlib/001764.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001764",
   "batch_fingerprint": "de2e95d8b5aca238789f9b0767cbd95f57d84043785c852ce8cbabe6e450932f",
   "evidence": {
@@ -944,22 +943,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001764-0000-d387c1bc09f5345f.parquet",
-      "sha256": "d387c1bc09f5345f2d1488cff64b053cfa3bd8a2f4b66d26139e660f297087e9",
-      "bytes": 63920,
-      "rows": 9,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001764-0000-c5b691b09e4cf97e.parquet",
-      "sha256": "c5b691b09e4cf97e511aa4516fb837a6385787adde6514edfbc3e7b89d25b95a",
-      "bytes": 54617,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.aleph_one_le_continuum",
     "mathlib:Cardinal.beth_one",
@@ -981,5 +965,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Continuum.lean\",null,null,\"Cardinal.lift_lt_continuum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Continuum.lean\",null,null,\"Cardinal.mk_set_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/CountableCover.lean\",null,null,\"Cardinal.mk_le_of_countable_eventually_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63920,
+      "path": "data/train/pfb/mathlib-001764-0000-d387c1bc09f5345f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d387c1bc09f5345f2d1488cff64b053cfa3bd8a2f4b66d26139e660f297087e9"
+    },
+    {
+      "bytes": 54617,
+      "path": "data/internal_test/pfb/mathlib-001764-0000-c5b691b09e4cf97e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c5b691b09e4cf97e511aa4516fb837a6385787adde6514edfbc3e7b89d25b95a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001765.json b/manifests/batches/mathlib/001765.json
index 766848e3193ce362cb569a51a9595278e1daa62c..605f3b7329d5ad6b98acbf96920334ef898c225d 100644
--- a/manifests/batches/mathlib/001765.json
+++ b/manifests/batches/mathlib/001765.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001765",
   "batch_fingerprint": "4ceee784264df534d7b2c0b7f8c156a08a1ee55ace63faf33c1c922dc2f7deaf",
   "evidence": {
@@ -2106,29 +2105,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001765-0000-81df0f761670026a.parquet",
-      "sha256": "81df0f761670026ab94d94a4ff844734cd590a71c3f526bb6d9e48bf937ae1d3",
-      "bytes": 60311,
-      "rows": 25,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001765-0000-deae8b98e67caed1.parquet",
-      "sha256": "deae8b98e67caed1aca9939d63d179e2a40d056ef0de693b5e717b7c041ae9aa",
-      "bytes": 33698,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001765-0000-4a07ca79eae349bb.parquet",
-      "sha256": "4a07ca79eae349bb0b1d17c09f666ea7ddb1c06e7a20697ed7a59ecd22115683",
-      "bytes": 38976,
-      "rows": 5,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.aleph0_mul_ofENat",
     "mathlib:Cardinal.lift_eq_ofENat",
@@ -2184,5 +2161,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ENat.lean\",null,null,\"Cardinal.toENatAux_eq_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ENat.lean\",null,null,\"Cardinal.toENat_strictMonoOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ENat.lean\",null,null,\"Cardinal.zero_eq_ofENat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60311,
+      "path": "data/train/pbb/mathlib-001765-0000-81df0f761670026a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "81df0f761670026ab94d94a4ff844734cd590a71c3f526bb6d9e48bf937ae1d3"
+    },
+    {
+      "bytes": 33698,
+      "path": "data/dev/pbb/mathlib-001765-0000-deae8b98e67caed1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "deae8b98e67caed1aca9939d63d179e2a40d056ef0de693b5e717b7c041ae9aa"
+    },
+    {
+      "bytes": 38976,
+      "path": "data/internal_test/pbb/mathlib-001765-0000-4a07ca79eae349bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4a07ca79eae349bb0b1d17c09f666ea7ddb1c06e7a20697ed7a59ecd22115683"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001766.json b/manifests/batches/mathlib/001766.json
index 712e1eea5bcb6ed794794bcb662624afacd4ba86..24e3563996aef6f44c6bcdd6b8c673594099e9b8 100644
--- a/manifests/batches/mathlib/001766.json
+++ b/manifests/batches/mathlib/001766.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001766",
   "batch_fingerprint": "f3ea5b756356894035aef4f6f49ed42a1cf872116926f0a0ba4ad61ffca807a9",
   "evidence": {
@@ -6220,29 +6219,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001766-0000-e5b6ee67340dfc09.parquet",
-      "sha256": "e5b6ee67340dfc097e14eab4e8b0fea5d56a21667f232f8177141f86ca02d251",
-      "bytes": 358946,
-      "rows": 136,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001766-0000-09b367d0e64ffda7.parquet",
-      "sha256": "09b367d0e64ffda76704cc0c3e8f0e8cba9a1e65488664fff8b4229791bf220f",
-      "bytes": 44792,
-      "rows": 9,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001766-0000-a974c632e1127304.parquet",
-      "sha256": "a974c632e1127304a446670b9c271bd41471adabb2a059841e4acda380d67e86",
-      "bytes": 70800,
-      "rows": 18,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.add_ciSup",
     "mathlib:Cardinal.add_eq_left",
@@ -6440,5 +6417,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Ordinal.lean\",null,null,\"Cardinal.principal_add_ord\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Ordinal.lean\",null,null,\"Cardinal.succ_aleph0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/Ordinal.lean\",null,null,\"Cardinal.type_cardinal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358946,
+      "path": "data/train/p17/mathlib-001766-0000-e5b6ee67340dfc09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 136,
+      "sha256": "e5b6ee67340dfc097e14eab4e8b0fea5d56a21667f232f8177141f86ca02d251"
+    },
+    {
+      "bytes": 44792,
+      "path": "data/dev/p17/mathlib-001766-0000-09b367d0e64ffda7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "09b367d0e64ffda76704cc0c3e8f0e8cba9a1e65488664fff8b4229791bf220f"
+    },
+    {
+      "bytes": 70800,
+      "path": "data/internal_test/p17/mathlib-001766-0000-a974c632e1127304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a974c632e1127304a446670b9c271bd41471adabb2a059841e4acda380d67e86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001767.json b/manifests/batches/mathlib/001767.json
index 38d4e2bd3b4840896c8d04d1bfda758eefcbde51..be6e8b2f338f27a75645b9fde0ec164abe91bd3a 100644
--- a/manifests/batches/mathlib/001767.json
+++ b/manifests/batches/mathlib/001767.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001767",
   "batch_fingerprint": "7db1d2b4ebeaf0b8180bfc5ec70485f0d1f14c7cf16ae417ea84ad9cd6eb97bd",
   "evidence": {
@@ -653,22 +652,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001767-0000-ec1c91158c3b9b5b.parquet",
-      "sha256": "ec1c91158c3b9b5b890a617abab7ec616317babced1f0ed26dfbb5fa573db92f",
-      "bytes": 49105,
-      "rows": 11,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001767-0000-c668b7e83de2353a.parquet",
-      "sha256": "c668b7e83de2353a746ba2532e966bbc543450be3e142725e11d862bb1e14f10",
-      "bytes": 24776,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.mk_toPartENat_eq_coe_card",
     "mathlib:Cardinal.toPartENat_apply_of_lt_aleph0",
@@ -688,5 +672,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/PartENat.lean\",null,null,\"Cardinal.toPartENat_le_iff_of_lt_aleph0\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/PartENat.lean\",null,null,\"Cardinal.toPartENat_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/PartENat.lean\",null,null,\"Cardinal.toPartENat_natCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49105,
+      "path": "data/train/p1f/mathlib-001767-0000-ec1c91158c3b9b5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ec1c91158c3b9b5b890a617abab7ec616317babced1f0ed26dfbb5fa573db92f"
+    },
+    {
+      "bytes": 24776,
+      "path": "data/internal_test/p1f/mathlib-001767-0000-c668b7e83de2353a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c668b7e83de2353a746ba2532e966bbc543450be3e142725e11d862bb1e14f10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001768.json b/manifests/batches/mathlib/001768.json
index e675ed66da6757b953c69247be9d1f44cc1650fa..dfd733c0b345a89a394d8e9636d050945174b754 100644
--- a/manifests/batches/mathlib/001768.json
+++ b/manifests/batches/mathlib/001768.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001768",
   "batch_fingerprint": "17da08c093854f924c29ed60609fbcd3bafe64ab4f559f89708f19da58d13437",
   "evidence": {
@@ -659,29 +658,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001768-0000-b3987ecc0eeb123e.parquet",
-      "sha256": "b3987ecc0eeb123e467ce9a30012b74dec314a0b291ec628c0d4f2618ebd7d9e",
-      "bytes": 66994,
-      "rows": 22,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001768-0000-f0941941696e9a39.parquet",
-      "sha256": "f0941941696e9a392225eb7e93eb3f6a84603f22e002864a04e6a48fdff6c630",
-      "bytes": 42938,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001768-0000-c2c4fbb6c3fa4f68.parquet",
-      "sha256": "c2c4fbb6c3fa4f687257c5d12da0c5e6314edc307f36687f2e6599f47e0edc92",
-      "bytes": 34644,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.cast_toNat_of_aleph0_le",
     "mathlib:Cardinal.cast_toNat_of_lt_aleph0",
@@ -719,5 +696,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ToNat.lean\",null,null,\"Cardinal.toNat_lift_add_lift\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ToNat.lean\",null,null,\"Cardinal.toNat_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Cardinal/ToNat.lean\",null,null,\"Cardinal.toNat_strictMonoOn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66994,
+      "path": "data/train/p38/mathlib-001768-0000-b3987ecc0eeb123e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b3987ecc0eeb123e467ce9a30012b74dec314a0b291ec628c0d4f2618ebd7d9e"
+    },
+    {
+      "bytes": 42938,
+      "path": "data/dev/p38/mathlib-001768-0000-f0941941696e9a39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f0941941696e9a392225eb7e93eb3f6a84603f22e002864a04e6a48fdff6c630"
+    },
+    {
+      "bytes": 34644,
+      "path": "data/internal_test/p38/mathlib-001768-0000-c2c4fbb6c3fa4f68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c2c4fbb6c3fa4f687257c5d12da0c5e6314edc307f36687f2e6599f47e0edc92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001769.json b/manifests/batches/mathlib/001769.json
index 40f8e4da588aba08af23119de647d472c57e076b..56ae199bb65fd09577bd6781acac89e3d2b32417 100644
--- a/manifests/batches/mathlib/001769.json
+++ b/manifests/batches/mathlib/001769.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001769",
   "batch_fingerprint": "7b3f9d340f0ffea4069d524408f9577e434a88494d4771e4cd0919672554254f",
   "evidence": {
@@ -3269,29 +3268,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001769-0000-273504163a3d8608.parquet",
-      "sha256": "273504163a3d8608c22f677330b7ba3102f0259c609729ad4fbdc65e71286c83",
-      "bytes": 121730,
-      "rows": 34,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001769-0000-cf35c3bc54615c41.parquet",
-      "sha256": "cf35c3bc54615c4190e77733f8b1dfac80a94ff35091fc9ca63b92414bf7b0ca",
-      "bytes": 34475,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001769-0000-189f86f9b3590f67.parquet",
-      "sha256": "189f86f9b3590f6788f9dc80a7e52655f13205b7bc26c640027d9cd395b188a1",
-      "bytes": 54863,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SetTheory.Game.add_lf_add_left",
     "mathlib:SetTheory.Game.add_lf_add_right",
@@ -3331,5 +3308,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Basic.lean\",null,null,\"SetTheory.PGame.quot_neg_mul_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Basic.lean\",null,null,\"SetTheory.PGame.quot_right_distrib\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Basic.lean\",null,null,\"SetTheory.PGame.quot_right_distrib_sub\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121730,
+      "path": "data/train/p82/mathlib-001769-0000-273504163a3d8608.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "273504163a3d8608c22f677330b7ba3102f0259c609729ad4fbdc65e71286c83"
+    },
+    {
+      "bytes": 34475,
+      "path": "data/dev/p82/mathlib-001769-0000-cf35c3bc54615c41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cf35c3bc54615c4190e77733f8b1dfac80a94ff35091fc9ca63b92414bf7b0ca"
+    },
+    {
+      "bytes": 54863,
+      "path": "data/internal_test/p82/mathlib-001769-0000-189f86f9b3590f67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "189f86f9b3590f6788f9dc80a7e52655f13205b7bc26c640027d9cd395b188a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001770.json b/manifests/batches/mathlib/001770.json
index ac054de5f9b569d35c9eb5e2e8ca5554c0059a99..aede9bbd2aa4f6d89d3b078b7ed8cc1a58e352ab 100644
--- a/manifests/batches/mathlib/001770.json
+++ b/manifests/batches/mathlib/001770.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001770",
   "batch_fingerprint": "d1de4805a9119e307ce8526fc5d046311c4d0347f3b6109ec88a986941fd2619",
   "evidence": {
@@ -500,22 +499,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001770-0000-63906823c6beb2a4.parquet",
-      "sha256": "63906823c6beb2a4bb13da13b074ab4ca10f534c5820aeea31928c71256820f0",
-      "bytes": 139400,
-      "rows": 51,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001770-0000-d99db63a0de75900.parquet",
-      "sha256": "d99db63a0de7590096dfe40d6922e4cf6cfd9d3bc3526714a5f44f2a2df810da",
-      "bytes": 49392,
-      "rows": 7,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SetTheory.PGame.Domineering.card_of_mem_left",
     "mathlib:SetTheory.PGame.Domineering.card_of_mem_right",
@@ -571,5 +555,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Domineering.lean\",null,null,\"SetTheory.PGame.Domineering.moveRight_card\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Domineering.lean\",null,null,\"SetTheory.PGame.Domineering.moveRight_smaller\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Domineering.lean\",null,null,\"SetTheory.PGame.Domineering.snd_pred_mem_erase_of_mem_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139400,
+      "path": "data/train/p62/mathlib-001770-0000-63906823c6beb2a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "63906823c6beb2a4bb13da13b074ab4ca10f534c5820aeea31928c71256820f0"
+    },
+    {
+      "bytes": 49392,
+      "path": "data/internal_test/p62/mathlib-001770-0000-d99db63a0de75900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d99db63a0de7590096dfe40d6922e4cf6cfd9d3bc3526714a5f44f2a2df810da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001771.json b/manifests/batches/mathlib/001771.json
index fcccd05e219c28a7f12127f1eda04dfbb8aae6b7..d7d99a5f88ed59e540a24571f889097e3e1261ad 100644
--- a/manifests/batches/mathlib/001771.json
+++ b/manifests/batches/mathlib/001771.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001771",
   "batch_fingerprint": "efb48a71da7cebd1ae99cc4ef649d7ce293dfe15213f079a85264f65fa68b7f5",
   "evidence": {
@@ -1527,29 +1526,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001771-0000-2b8567c98c7c9fdc.parquet",
-      "sha256": "2b8567c98c7c9fdc6c07f16bae936dd15ff632c8424ea1cff6758d2d950d8bd9",
-      "bytes": 152839,
-      "rows": 51,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001771-0000-4d8def486e66c352.parquet",
-      "sha256": "4d8def486e66c352094d2f5a47b40230437650b83e34daa702ff47e433a2f52b",
-      "bytes": 39046,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001771-0000-352c3f58d5c7d504.parquet",
-      "sha256": "352c3f58d5c7d504367484e136368f2e6f7fba7e03b896f534c7c48b8c78a487",
-      "bytes": 42769,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SetTheory.PGame.Impartial.equiv_iff_add_equiv_zero",
     "mathlib:SetTheory.PGame.Impartial.equiv_iff_add_equiv_zero'",
@@ -1615,5 +1592,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Nim.lean\",null,null,\"SetTheory.PGame.rightMoves_nim\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Nim.lean\",null,null,\"SetTheory.PGame.toLeftMovesNim_one_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/Nim.lean\",null,null,\"SetTheory.PGame.toRightMovesNim_one_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152839,
+      "path": "data/train/p52/mathlib-001771-0000-2b8567c98c7c9fdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "2b8567c98c7c9fdc6c07f16bae936dd15ff632c8424ea1cff6758d2d950d8bd9"
+    },
+    {
+      "bytes": 39046,
+      "path": "data/dev/p52/mathlib-001771-0000-4d8def486e66c352.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4d8def486e66c352094d2f5a47b40230437650b83e34daa702ff47e433a2f52b"
+    },
+    {
+      "bytes": 42769,
+      "path": "data/internal_test/p52/mathlib-001771-0000-352c3f58d5c7d504.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "352c3f58d5c7d504367484e136368f2e6f7fba7e03b896f534c7c48b8c78a487"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001772.json b/manifests/batches/mathlib/001772.json
index 0bc7f68477051c48e87089196610845d098a8df8..c71b266b7f4eba947a774e0d34409d82d632d499 100644
--- a/manifests/batches/mathlib/001772.json
+++ b/manifests/batches/mathlib/001772.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001772",
   "batch_fingerprint": "5e7e6a0f75176c778fbd8438605761c80f8477a0a2905985d9626e2753aa44d1",
   "evidence": {
@@ -4724,29 +4723,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001772-0000-5dfffdf733ead78a.parquet",
-      "sha256": "5dfffdf733ead78a0d539049f80fca2a6400f29d151c924a11835cd427fc3f59",
-      "bytes": 249941,
-      "rows": 108,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001772-0000-a0a11b7fc1c854ed.parquet",
-      "sha256": "a0a11b7fc1c854edd19b17860f3c3bbd80b11f04d01d7e75bda88ebd32c7fe4b",
-      "bytes": 45983,
-      "rows": 6,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001772-0000-ae6543d22c64e8d6.parquet",
-      "sha256": "ae6543d22c64e8d65e430da487c31d32185ad812f65bb58240e365380ab34f3c",
-      "bytes": 59614,
-      "rows": 18,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordinal.one_toPGame_moveLeft",
     "mathlib:Ordinal.toPGame_def",
@@ -4910,5 +4887,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/PGame.lean\",null,null,\"SetTheory.PGame.zero_lf_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/PGame.lean\",null,null,\"SetTheory.PGame.zero_lf_neg_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/PGame.lean\",null,null,\"SetTheory.PGame.zero_lt_neg_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249941,
+      "path": "data/train/p73/mathlib-001772-0000-5dfffdf733ead78a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 108,
+      "sha256": "5dfffdf733ead78a0d539049f80fca2a6400f29d151c924a11835cd427fc3f59"
+    },
+    {
+      "bytes": 45983,
+      "path": "data/dev/p73/mathlib-001772-0000-a0a11b7fc1c854ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a0a11b7fc1c854edd19b17860f3c3bbd80b11f04d01d7e75bda88ebd32c7fe4b"
+    },
+    {
+      "bytes": 59614,
+      "path": "data/internal_test/p73/mathlib-001772-0000-ae6543d22c64e8d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ae6543d22c64e8d65e430da487c31d32185ad812f65bb58240e365380ab34f3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001773.json b/manifests/batches/mathlib/001773.json
index 47b3f931ec7dcae63d0743d61ee70f6c1be04609..528d6fd4cb21ae36977ccadd36cde5cfdb99e1a5 100644
--- a/manifests/batches/mathlib/001773.json
+++ b/manifests/batches/mathlib/001773.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001773",
   "batch_fingerprint": "4d55c12128327c675ca9f5df8718d1ff79ca7f16758b254e31bb6e3e2b17e56f",
   "evidence": {
@@ -315,28 +314,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:SetTheory.PGame.turnBound_ne_zero_of_left_move",
+    "mathlib:SetTheory.PGame.turnBound_ne_zero_of_right_move"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/State.lean\",null,null,\"SetTheory.PGame.turnBound_ne_zero_of_left_move\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/State.lean\",null,null,\"SetTheory.PGame.turnBound_ne_zero_of_right_move\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001773-0000-677da1569114d014.parquet",
-      "sha256": "677da1569114d014ccea16e6d6ef4e939c719287cf24c288924a1793ebd94f1a",
       "bytes": 41418,
+      "path": "data/train/p93/mathlib-001773-0000-677da1569114d014.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
+      "sha256": "677da1569114d014ccea16e6d6ef4e939c719287cf24c288924a1793ebd94f1a"
     },
     {
-      "path": "data/dev/mathlib-001773-0000-cec1d2159a7a4415.parquet",
-      "sha256": "cec1d2159a7a44159bfbb96821c14d8cdc7540cfd2a644189adfa67e664b16d7",
       "bytes": 41518,
+      "path": "data/dev/p93/mathlib-001773-0000-cec1d2159a7a4415.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
+      "sha256": "cec1d2159a7a44159bfbb96821c14d8cdc7540cfd2a644189adfa67e664b16d7"
     }
-  ],
-  "proof_ids": [
-    "mathlib:SetTheory.PGame.turnBound_ne_zero_of_left_move",
-    "mathlib:SetTheory.PGame.turnBound_ne_zero_of_right_move"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/State.lean\",null,null,\"SetTheory.PGame.turnBound_ne_zero_of_left_move\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Game/State.lean\",null,null,\"SetTheory.PGame.turnBound_ne_zero_of_right_move\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001774.json b/manifests/batches/mathlib/001774.json
index 598418d40aa585d6e5a4a8fd3bb97110c80221ad..cb9b69d2c612fa83c3cb5a552df8a7df6ea62583 100644
--- a/manifests/batches/mathlib/001774.json
+++ b/manifests/batches/mathlib/001774.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001774",
   "batch_fingerprint": "e3bd5a4c457d4b6a12d15ccc716aa733c9b757edeff1ad237b61127765bad25e",
   "evidence": {
@@ -8542,29 +8541,7 @@
     "validation_rejected_proofs": 37,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001774-0000-86d0dc56ce26135d.parquet",
-      "sha256": "86d0dc56ce26135deb5bf4dccc142108fee0e46a9acd850c7faf1f80ee05b438",
-      "bytes": 596925,
-      "rows": 219,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001774-0000-699168c123ba0ba6.parquet",
-      "sha256": "699168c123ba0ba63456714ee3d79d2ae7a8e269a17ee0983f723e1f100ce833",
-      "bytes": 54318,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001774-0000-b872b52f4bf5515c.parquet",
-      "sha256": "b872b52f4bf5515c5032e2314f0e4e8da254347ef7606709d53335e81ba5bc90",
-      "bytes": 64599,
-      "rows": 19,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Acc.rank_eq",
     "mathlib:Acc.rank_lt_of_rel",
@@ -8856,5 +8833,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Arithmetic.lean\",null,null,\"Ordinal.zero_mod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Arithmetic.lean\",null,null,\"Ordinal.zero_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Arithmetic.lean\",null,null,\"WellFounded.rank_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 596925,
+      "path": "data/train/p35/mathlib-001774-0000-86d0dc56ce26135d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 219,
+      "sha256": "86d0dc56ce26135deb5bf4dccc142108fee0e46a9acd850c7faf1f80ee05b438"
+    },
+    {
+      "bytes": 54318,
+      "path": "data/dev/p35/mathlib-001774-0000-699168c123ba0ba6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "699168c123ba0ba63456714ee3d79d2ae7a8e269a17ee0983f723e1f100ce833"
+    },
+    {
+      "bytes": 64599,
+      "path": "data/internal_test/p35/mathlib-001774-0000-b872b52f4bf5515c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b872b52f4bf5515c5032e2314f0e4e8da254347ef7606709d53335e81ba5bc90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001775.json b/manifests/batches/mathlib/001775.json
index cc8abae3c5327a23091c1ef1db01993846fb8d2d..f9fb34abe1cc59a9b68551ca3b7c4bed62d4a155 100644
--- a/manifests/batches/mathlib/001775.json
+++ b/manifests/batches/mathlib/001775.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001775",
   "batch_fingerprint": "4e443da239604b58234c13727fa5ec5cc30c24332b24d241a56d9a3573d3b58b",
   "evidence": {
@@ -4009,29 +4008,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001775-0000-32fadaf4b3e82980.parquet",
-      "sha256": "32fadaf4b3e829800c15486dcf592a87a8d463b894815e83d80ba9e6ed9cdf9a",
-      "bytes": 246019,
-      "rows": 81,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001775-0000-6769040ae4d53cbd.parquet",
-      "sha256": "6769040ae4d53cbd239778def435fb1c3e73ff8aadd00a63413122abfa5eba8f",
-      "bytes": 32232,
-      "rows": 3,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001775-0000-7115229a3e7db4bd.parquet",
-      "sha256": "7115229a3e7db4bd2256c7b9739747b11bd75d971b2f8c7f07da67e5cbff8c25",
-      "bytes": 72398,
-      "rows": 14,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cardinal.card_le_iff",
     "mathlib:Cardinal.card_le_of_le_ord",
@@ -4163,5 +4140,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/CantorNormalForm.lean\",null,null,\"Ordinal.CNF_of_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/CantorNormalForm.lean\",null,null,\"Ordinal.one_CNF\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/CantorNormalForm.lean\",null,null,\"Ordinal.zero_CNF\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246019,
+      "path": "data/train/pa7/mathlib-001775-0000-32fadaf4b3e82980.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 81,
+      "sha256": "32fadaf4b3e829800c15486dcf592a87a8d463b894815e83d80ba9e6ed9cdf9a"
+    },
+    {
+      "bytes": 32232,
+      "path": "data/dev/pa7/mathlib-001775-0000-6769040ae4d53cbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6769040ae4d53cbd239778def435fb1c3e73ff8aadd00a63413122abfa5eba8f"
+    },
+    {
+      "bytes": 72398,
+      "path": "data/internal_test/pa7/mathlib-001775-0000-7115229a3e7db4bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7115229a3e7db4bd2256c7b9739747b11bd75d971b2f8c7f07da67e5cbff8c25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001776.json b/manifests/batches/mathlib/001776.json
index f998a0efe643b82b21f006edd4cb0ba2108cade6..e9c9a45d38ca9b1542bc0bcb8130e180f1af6e44 100644
--- a/manifests/batches/mathlib/001776.json
+++ b/manifests/batches/mathlib/001776.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001776",
   "batch_fingerprint": "8fea50aecdc5045c3e546ebf980589ddb3d6ca935a6298596cdc8306cd01a9d0",
   "evidence": {
@@ -4921,29 +4920,7 @@
     "validation_rejected_proofs": 25,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001776-0000-efd1419375bb1dc1.parquet",
-      "sha256": "efd1419375bb1dc1b4489df1388a353e1fdbd53ff2904b7f00a050bee88ede25",
-      "bytes": 218951,
-      "rows": 74,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001776-0000-26153fb89669d102.parquet",
-      "sha256": "26153fb89669d1020e0c2bde7346496bbf82e53b1738321e86ef0840528c2528",
-      "bytes": 36164,
-      "rows": 3,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001776-0000-5082bb5ee8360e8c.parquet",
-      "sha256": "5082bb5ee8360e8c62cf1f68c35cf4c7a024678575c38adef2ffe6898f78ebff",
-      "bytes": 52320,
-      "rows": 5,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordinal.IsNormal.apply_le_nfp",
     "mathlib:Ordinal.IsNormal.apply_lt_nfp",
@@ -5029,5 +5006,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/FixedPoint.lean\",null,null,\"Ordinal.nfpFamily_le_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/FixedPoint.lean\",null,null,\"Ordinal.nfp_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/FixedPoint.lean\",null,null,\"Ordinal.nfp_le_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218951,
+      "path": "data/train/pdd/mathlib-001776-0000-efd1419375bb1dc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "efd1419375bb1dc1b4489df1388a353e1fdbd53ff2904b7f00a050bee88ede25"
+    },
+    {
+      "bytes": 36164,
+      "path": "data/dev/pdd/mathlib-001776-0000-26153fb89669d102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "26153fb89669d1020e0c2bde7346496bbf82e53b1738321e86ef0840528c2528"
+    },
+    {
+      "bytes": 52320,
+      "path": "data/internal_test/pdd/mathlib-001776-0000-5082bb5ee8360e8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5082bb5ee8360e8c62cf1f68c35cf4c7a024678575c38adef2ffe6898f78ebff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001777.json b/manifests/batches/mathlib/001777.json
index e87533ae209df4a6fea80da91b4b6982bb144144..dc88e9469a2d88678d05f63cfd27446796cbc6fc 100644
--- a/manifests/batches/mathlib/001777.json
+++ b/manifests/batches/mathlib/001777.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001777",
   "batch_fingerprint": "72d2c02cf4e7261defe37c7f95d4014a28ae4cd664d42f2fbc58a9c3ebc70efe",
   "evidence": {
@@ -3757,22 +3756,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001777-0000-7794ae518571e790.parquet",
-      "sha256": "7794ae518571e7905cf9907088e122c581f256bd7d607889b095de3d3ffdf0e0",
-      "bytes": 128558,
-      "rows": 53,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001777-0000-b2d5368688b73a91.parquet",
-      "sha256": "b2d5368688b73a9171fbb8969e0c512f8bbd5e7119df49dabb6bf6021d049aff",
-      "bytes": 45335,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordinal.le_nadd_self",
     "mathlib:Ordinal.le_self_nadd",
@@ -3842,5 +3826,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/NaturalOps.lean\",null,null,\"Ordinal.toNatOrdinal_cast_nat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/NaturalOps.lean\",null,null,\"Ordinal.zero_nadd\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/NaturalOps.lean\",null,null,\"Ordinal.zero_nmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128558,
+      "path": "data/train/p27/mathlib-001777-0000-7794ae518571e790.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "7794ae518571e7905cf9907088e122c581f256bd7d607889b095de3d3ffdf0e0"
+    },
+    {
+      "bytes": 45335,
+      "path": "data/internal_test/p27/mathlib-001777-0000-b2d5368688b73a91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b2d5368688b73a9171fbb8969e0c512f8bbd5e7119df49dabb6bf6021d049aff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001778.json b/manifests/batches/mathlib/001778.json
index b5ead1b173696b9554ce949805b967bbf1d0c280..56cbc01bde16c63b03723aca9ae39b58db981bea 100644
--- a/manifests/batches/mathlib/001778.json
+++ b/manifests/batches/mathlib/001778.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001778",
   "batch_fingerprint": "615366a4107c80fa8c1e7db58be28d1c49037b544b92b0222a2cc549c0dff3f3",
   "evidence": {
@@ -7032,29 +7031,7 @@
     "validation_rejected_proofs": 14,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001778-0000-387f99598515a9e2.parquet",
-      "sha256": "387f99598515a9e23e94f35dd071ba207484487bdc85760c76e5f42a000610ca",
-      "bytes": 208457,
-      "rows": 71,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001778-0000-6cc67c0523307b73.parquet",
-      "sha256": "6cc67c0523307b7335bed6472dfcf6a74a32ce57c3c40d661f2ce245fce59640",
-      "bytes": 44489,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001778-0000-7fae1d5e46c3f5ba.parquet",
-      "sha256": "7fae1d5e46c3f5ba1dd504647583204c173c94999a40a31c92da3e2432e54ea1",
-      "bytes": 50866,
-      "rows": 6,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ONote.NF.zero_of_zero",
     "mathlib:ONote.NFBelow.fst",
@@ -7128,5 +7105,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Principal.lean\",null,null,\"Ordinal.principal_mul_isLimit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Principal.lean\",null,null,\"Ordinal.principal_mul_omega\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Ordinal/Principal.lean\",null,null,\"Ordinal.principal_mul_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208457,
+      "path": "data/train/p83/mathlib-001778-0000-387f99598515a9e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "387f99598515a9e23e94f35dd071ba207484487bdc85760c76e5f42a000610ca"
+    },
+    {
+      "bytes": 44489,
+      "path": "data/dev/p83/mathlib-001778-0000-6cc67c0523307b73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6cc67c0523307b7335bed6472dfcf6a74a32ce57c3c40d661f2ce245fce59640"
+    },
+    {
+      "bytes": 50866,
+      "path": "data/internal_test/p83/mathlib-001778-0000-7fae1d5e46c3f5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7fae1d5e46c3f5ba1dd504647583204c173c94999a40a31c92da3e2432e54ea1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001779.json b/manifests/batches/mathlib/001779.json
index b555d38db032977fe9e364969ad409fbff6b8dc8..7bcc9f31cef09c371dfa46b9ba32f383c2e912ef 100644
--- a/manifests/batches/mathlib/001779.json
+++ b/manifests/batches/mathlib/001779.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001779",
   "batch_fingerprint": "ed1e775916ccd2dd95f816c20844152217bfcb5a53a1c83ee99fddc09192e53e",
   "evidence": {
@@ -2174,29 +2173,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001779-0000-7f2a61a7c7c184fc.parquet",
-      "sha256": "7f2a61a7c7c184fc813cbdf670ff3e5b1229f4d9b7f0a29d536871ca856b6277",
-      "bytes": 119502,
-      "rows": 35,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001779-0000-a861892e15903674.parquet",
-      "sha256": "a861892e159036748d23b79c18ac108d03e38848d569aef27be25f689e943913",
-      "bytes": 34674,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001779-0000-d186c8804780689d.parquet",
-      "sha256": "d186c8804780689dbeaa3768a47fa0ce4b90fd8e654ab2ba8766d50c618f7ed4",
-      "bytes": 32729,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ordinal.isClosed_iff_sup",
     "mathlib:Ordinal.isLimit_of_mem_frontier",
@@ -2236,5 +2213,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Surreal/Basic.lean\",null,null,\"SetTheory.PGame.numeric_toPGame\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Surreal/Basic.lean\",null,null,\"Surreal.bddAbove_of_small\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/Surreal/Basic.lean\",null,null,\"Surreal.bddBelow_of_small\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119502,
+      "path": "data/train/paf/mathlib-001779-0000-7f2a61a7c7c184fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7f2a61a7c7c184fc813cbdf670ff3e5b1229f4d9b7f0a29d536871ca856b6277"
+    },
+    {
+      "bytes": 34674,
+      "path": "data/dev/paf/mathlib-001779-0000-a861892e15903674.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a861892e159036748d23b79c18ac108d03e38848d569aef27be25f689e943913"
+    },
+    {
+      "bytes": 32729,
+      "path": "data/internal_test/paf/mathlib-001779-0000-d186c8804780689d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d186c8804780689dbeaa3768a47fa0ce4b90fd8e654ab2ba8766d50c618f7ed4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001780.json b/manifests/batches/mathlib/001780.json
index 48a01260d5721a651c07abd52bcb50a11a18d845..0f04d2e3c358a9d105df77c73b1ec24a1a9cb366 100644
--- a/manifests/batches/mathlib/001780.json
+++ b/manifests/batches/mathlib/001780.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001780",
   "batch_fingerprint": "5b1b2884c59795b24e1c5d82d09cf4800677bfd7d8a9839f1d66e8462953e2a0",
   "evidence": {
@@ -3491,7 +3490,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001781.json b/manifests/batches/mathlib/001781.json
index b44082abf850b17dcdea517b0b1e7a9a305b5f96..1ef6c7cdd51b369984919a4763be5d3744fdf14e 100644
--- a/manifests/batches/mathlib/001781.json
+++ b/manifests/batches/mathlib/001781.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001781",
   "batch_fingerprint": "879bbd92e56fe9d5356b9cdfa8b26f62bb28c4412e73b00a688f57ea30d2ba58",
   "evidence": {
@@ -3629,29 +3628,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001781-0000-259102363823f264.parquet",
-      "sha256": "259102363823f264e40b0c5c640eebc3ff8a61398ffd0583725f4e0e0c1fb21b",
-      "bytes": 249922,
-      "rows": 97,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001781-0000-0cfa0fcdc018b7bd.parquet",
-      "sha256": "0cfa0fcdc018b7bd0ca23534b1df8bdf09eeeb8bdf38e63c60293796e8b74a5c",
-      "bytes": 40864,
-      "rows": 9,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001781-0000-850684ce0350f937.parquet",
-      "sha256": "850684ce0350f937f38ee71cddf230e6b4971db7cd2a9795db3a8e43a3a4a6a8",
-      "bytes": 40653,
-      "rows": 6,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Class.classToCong_empty",
     "mathlib:Class.coe_sUnion",
@@ -3769,5 +3746,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/ZFC/Ordinal.lean\",null,null,\"ZFSet.IsTransitive.sUnion'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/ZFC/Ordinal.lean\",null,null,\"ZFSet.IsTransitive.union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/SetTheory/ZFC/Ordinal.lean\",null,null,\"ZFSet.isTransitive_iff_sUnion_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249922,
+      "path": "data/train/p6c/mathlib-001781-0000-259102363823f264.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "259102363823f264e40b0c5c640eebc3ff8a61398ffd0583725f4e0e0c1fb21b"
+    },
+    {
+      "bytes": 40864,
+      "path": "data/dev/p6c/mathlib-001781-0000-0cfa0fcdc018b7bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0cfa0fcdc018b7bd0ca23534b1df8bdf09eeeb8bdf38e63c60293796e8b74a5c"
+    },
+    {
+      "bytes": 40653,
+      "path": "data/internal_test/p6c/mathlib-001781-0000-850684ce0350f937.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "850684ce0350f937f38ee71cddf230e6b4971db7cd2a9795db3a8e43a3a4a6a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001782.json b/manifests/batches/mathlib/001782.json
index cf1a73a58a58b457b6d0c7d4ea82ab292a06186e..00b928ef9d6ff4df1d8ffb7e483f48c7e0db69f4 100644
--- a/manifests/batches/mathlib/001782.json
+++ b/manifests/batches/mathlib/001782.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001782",
   "batch_fingerprint": "527e515b273a8ee149a1c35bf5e0032a029ee31ac88897f0c05fb98d710b2d89",
   "evidence": {
@@ -766,29 +765,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001782-0000-56fa20ec9186721c.parquet",
-      "sha256": "56fa20ec9186721c394a087222034bea94c9ed15dd13927f5a3e7ab4b91f2c58",
-      "bytes": 56812,
-      "rows": 17,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001782-0000-b937ac9681d33b8a.parquet",
-      "sha256": "b937ac9681d33b8a64b34bf0e70c57d83471b391ed664f93a082add44530d033",
-      "bytes": 48873,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001782-0000-4900dc143a7a3823.parquet",
-      "sha256": "4900dc143a7a3823095631cd05278b334632b86c199214419a98727bdfa55478",
-      "bytes": 51297,
-      "rows": 5,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.Abel.const_add_term",
     "mathlib:Mathlib.Tactic.Abel.const_add_termg",
@@ -836,5 +813,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Abel.lean\",null,null,\"Mathlib.Tactic.Abel.zero_smulg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Abel.lean\",null,null,\"Mathlib.Tactic.Abel.zero_term\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Abel.lean\",null,null,\"Mathlib.Tactic.Abel.zero_termg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56812,
+      "path": "data/train/pfd/mathlib-001782-0000-56fa20ec9186721c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "56fa20ec9186721c394a087222034bea94c9ed15dd13927f5a3e7ab4b91f2c58"
+    },
+    {
+      "bytes": 48873,
+      "path": "data/dev/pfd/mathlib-001782-0000-b937ac9681d33b8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b937ac9681d33b8a64b34bf0e70c57d83471b391ed664f93a082add44530d033"
+    },
+    {
+      "bytes": 51297,
+      "path": "data/internal_test/pfd/mathlib-001782-0000-4900dc143a7a3823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4900dc143a7a3823095631cd05278b334632b86c199214419a98727bdfa55478"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001783.json b/manifests/batches/mathlib/001783.json
index 4afb1b054d36f6706d27a73c594c73e0ac832bba..2aa07da9ea28464b232a580a4cf4d70321b2890e 100644
--- a/manifests/batches/mathlib/001783.json
+++ b/manifests/batches/mathlib/001783.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001783",
   "batch_fingerprint": "c12e2ae7c384180970473395e2ecf147c67b50e29e4e02c9609077879a7700b6",
   "evidence": {
@@ -316,22 +315,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001783-0000-8d24c35055177f87.parquet",
-      "sha256": "8d24c35055177f87a98d37c8a42504decb1ed3a49d01e70c7da7341de94eb8e2",
-      "bytes": 50159,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001783-0000-9fdf92a5478142d4.parquet",
-      "sha256": "9fdf92a5478142d49d5f6845176c19aeca738434af48283e449ba91a64b2c8ed",
-      "bytes": 35647,
-      "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CancelDenoms.add_subst",
     "mathlib:CancelDenoms.cancel_factors_eq_div",
@@ -351,5 +335,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CancelDenoms/Core.lean\",null,null,\"CancelDenoms.pow_subst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CancelDenoms/Core.lean\",null,null,\"CancelDenoms.sub_subst\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/BicategoryCoherence.lean\",null,null,\"Mathlib.Tactic.BicategoryCoherence.bicategoricalComp_refl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50159,
+      "path": "data/train/p56/mathlib-001783-0000-8d24c35055177f87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8d24c35055177f87a98d37c8a42504decb1ed3a49d01e70c7da7341de94eb8e2"
+    },
+    {
+      "bytes": 35647,
+      "path": "data/internal_test/p56/mathlib-001783-0000-9fdf92a5478142d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9fdf92a5478142d49d5f6845176c19aeca738434af48283e449ba91a64b2c8ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001784.json b/manifests/batches/mathlib/001784.json
index 193b29bf6c970f0a5b287e58807b04cc350e26d4..236f6e91b38dd6722ad02a33c808d99d2a0008d3 100644
--- a/manifests/batches/mathlib/001784.json
+++ b/manifests/batches/mathlib/001784.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001784",
   "batch_fingerprint": "25b18888fb0d9320dc17e46f1d535e217916cedcff265cc21ffd4a05b4651209",
   "evidence": {
@@ -62,15 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001784-0000-f0ed8bb67e2a7d90.parquet",
-      "sha256": "f0ed8bb67e2a7d90a5cd03d1e14e75164845076cdb994d6662b02f3b49e300b5",
-      "bytes": 34094,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.Coherence.insert_id_rhs",
     "mathlib:Tactic.Elementwise.hom_elementwise"
@@ -78,5 +69,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/Coherence.lean\",null,null,\"Mathlib.Tactic.Coherence.insert_id_rhs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/Elementwise.lean\",null,null,\"Tactic.Elementwise.hom_elementwise\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34094,
+      "path": "data/train/p36/mathlib-001784-0000-f0ed8bb67e2a7d90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f0ed8bb67e2a7d90a5cd03d1e14e75164845076cdb994d6662b02f3b49e300b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001785.json b/manifests/batches/mathlib/001785.json
index 878a52af5c31ecd071d0e09988ed735f89408a52..5213200aff30350a6606afc55f05ba30be9f29d1 100644
--- a/manifests/batches/mathlib/001785.json
+++ b/manifests/batches/mathlib/001785.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001785",
   "batch_fingerprint": "86b00cfaafa7fecb4102804e7cf9d3f87eceadcbd3d8cc2ba2524a9618deee76",
   "evidence": {
@@ -17,28 +16,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "mathlib:CategoryTheory.eq_whisker'",
+    "mathlib:CategoryTheory.monoidalComp_refl"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/MonoidalComp.lean\",null,null,\"CategoryTheory.monoidalComp_refl\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/Reassoc.lean\",null,null,\"CategoryTheory.eq_whisker'\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/mathlib-001785-0000-72e3176a34f99ffd.parquet",
-      "sha256": "72e3176a34f99ffdb64e09f123ea097abd00b147ef4774869f3a2dc4d8da69ae",
       "bytes": 31982,
+      "path": "data/train/p90/mathlib-001785-0000-72e3176a34f99ffd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
+      "sha256": "72e3176a34f99ffdb64e09f123ea097abd00b147ef4774869f3a2dc4d8da69ae"
     },
     {
-      "path": "data/dev/mathlib-001785-0000-3a1aab003478d71d.parquet",
-      "sha256": "3a1aab003478d71d22efd936e851a0c07904ce16bcb6f1fa81abf7a3d472409e",
       "bytes": 29370,
+      "path": "data/dev/p90/mathlib-001785-0000-3a1aab003478d71d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
+      "sha256": "3a1aab003478d71d22efd936e851a0c07904ce16bcb6f1fa81abf7a3d472409e"
     }
-  ],
-  "proof_ids": [
-    "mathlib:CategoryTheory.eq_whisker'",
-    "mathlib:CategoryTheory.monoidalComp_refl"
-  ],
-  "proof_keys": [
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/MonoidalComp.lean\",null,null,\"CategoryTheory.monoidalComp_refl\"]",
-    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/CategoryTheory/Reassoc.lean\",null,null,\"CategoryTheory.eq_whisker'\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001786.json b/manifests/batches/mathlib/001786.json
index aa9f080a234da634f61e795bc91ec99c501ab43c..a80d39956ba950166fe345e3d93bcfe247f9144f 100644
--- a/manifests/batches/mathlib/001786.json
+++ b/manifests/batches/mathlib/001786.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001786",
   "batch_fingerprint": "9a880e5ce1c09aeeae8b66622e7a0941f0107e76df5cc165526d9762dfca9635",
   "evidence": {
@@ -642,15 +641,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001786-0000-7ee0704ed607a85f.parquet",
-      "sha256": "7ee0704ed607a85f89abd3ff983fbdbbe7f349179033c1b775e48dae2c12c28f",
-      "bytes": 46302,
-      "rows": 7,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.ComputeDegree.coeff_add_of_eq",
     "mathlib:Mathlib.Tactic.ComputeDegree.coeff_intCast_ite",
@@ -662,5 +653,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ComputeDegree.lean\",null,null,\"Mathlib.Tactic.ComputeDegree.coeff_intCast_ite\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ComputeDegree.lean\",null,null,\"Mathlib.Tactic.ComputeDegree.coeff_sub_of_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ComputeDegree.lean\",null,null,\"Mathlib.Tactic.ComputeDegree.natDegree_eq_of_le_of_coeff_ne_zero'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46302,
+      "path": "data/train/pd5/mathlib-001786-0000-7ee0704ed607a85f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7ee0704ed607a85f89abd3ff983fbdbbe7f349179033c1b775e48dae2c12c28f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001788.json b/manifests/batches/mathlib/001788.json
index bd94113357858325645187e9f1cdd6a1e2846b12..6f103f7d6935b33e2c2ad55d93297b4db0965a8f 100644
--- a/manifests/batches/mathlib/001788.json
+++ b/manifests/batches/mathlib/001788.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001788",
   "batch_fingerprint": "557035749d6b4b5b05e625a09f192ea666c91620c60336f4adced14381f6d51e",
   "evidence": {
@@ -327,7 +326,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001789.json b/manifests/batches/mathlib/001789.json
index bfd81e0463595553cd499e7e717a2cd028581b73..e01b37f88abbfd30387f028c7ea56bbea3e61660 100644
--- a/manifests/batches/mathlib/001789.json
+++ b/manifests/batches/mathlib/001789.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001789",
   "batch_fingerprint": "bb68606d7a7a0fdf9c38062b264d83b9cb2335861ffaf35ae8579dc341963cd5",
   "evidence": {
@@ -238,15 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001789-0000-310597409e6b0bb5.parquet",
-      "sha256": "310597409e6b0bb5d380680c2a358369cc6aba99049f43a9cf902347bb167a16",
-      "bytes": 35137,
-      "rows": 3,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.Group.zpow_trick",
     "mathlib:Mathlib.Tactic.Group.zpow_trick_one",
@@ -256,5 +247,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Group.lean\",null,null,\"Mathlib.Tactic.Group.zpow_trick\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Group.lean\",null,null,\"Mathlib.Tactic.Group.zpow_trick_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Group.lean\",null,null,\"Mathlib.Tactic.Group.zpow_trick_one'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35137,
+      "path": "data/train/p61/mathlib-001789-0000-310597409e6b0bb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "310597409e6b0bb5d380680c2a358369cc6aba99049f43a9cf902347bb167a16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001790.json b/manifests/batches/mathlib/001790.json
index 3f08e6f56cb8741affa0f23003f5e6c6fbaad427..04290e95afe007163a3e5f062ff48fec7882ace3 100644
--- a/manifests/batches/mathlib/001790.json
+++ b/manifests/batches/mathlib/001790.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001790",
   "batch_fingerprint": "cee9e0a470995390c55fc2107fae05efd1ebf45e9e223fcfcbe23c8d89e74336",
   "evidence": {
@@ -39,19 +38,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001790-0000-2709c01290fc61cb.parquet",
-      "sha256": "2709c01290fc61cbf1f20632a9560ba8355943d5b1d385386251d2688a79cca1",
-      "bytes": 49351,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Subtype.exists_pi_extension"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Lift.lean\",null,null,\"Subtype.exists_pi_extension\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49351,
+      "path": "data/train/p62/mathlib-001790-0000-2709c01290fc61cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2709c01290fc61cbf1f20632a9560ba8355943d5b1d385386251d2688a79cca1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001791.json b/manifests/batches/mathlib/001791.json
index 2e97c9474ed6535a79ee848a14cd488392b449c8..051b6e4235bda4c441cebf3c31bfe357e39a2175 100644
--- a/manifests/batches/mathlib/001791.json
+++ b/manifests/batches/mathlib/001791.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001791",
   "batch_fingerprint": "db59445acc65b754df778040ae32f3e8a0849a69a3ccb416d72d4e2d2f41d4a0",
   "evidence": {
@@ -128,22 +127,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001791-0000-4e86d961f585657a.parquet",
-      "sha256": "4e86d961f585657a51737e259057dbc6921964d06b4b151146bcd6bfa12c30a5",
-      "bytes": 38594,
-      "rows": 8,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001791-0000-d0f27313b0422117.parquet",
-      "sha256": "d0f27313b0422117cfa5259dd151eab8281c9ec69ce7556dea4c9a1d7e9cf325",
-      "bytes": 31866,
-      "rows": 3,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Linarith.eq_of_eq_of_eq",
     "mathlib:Linarith.le_of_eq_of_le",
@@ -169,5 +153,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Linarith/Lemmas.lean\",null,null,\"Linarith.mul_zero_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Linarith/Lemmas.lean\",null,null,\"Linarith.zero_mul_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Linarith/Preprocessing.lean\",null,null,\"Linarith.without_one_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38594,
+      "path": "data/train/p02/mathlib-001791-0000-4e86d961f585657a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4e86d961f585657a51737e259057dbc6921964d06b4b151146bcd6bfa12c30a5"
+    },
+    {
+      "bytes": 31866,
+      "path": "data/internal_test/p02/mathlib-001791-0000-d0f27313b0422117.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d0f27313b0422117cfa5259dd151eab8281c9ec69ce7556dea4c9a1d7e9cf325"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001792.json b/manifests/batches/mathlib/001792.json
index 407b298e86d73201c1a8f745357e1748c7cff802..4c5457573dfdbe52be4bf24072b1304acbc92162 100644
--- a/manifests/batches/mathlib/001792.json
+++ b/manifests/batches/mathlib/001792.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001792",
   "batch_fingerprint": "4037fd289e4d07c6e0e403b0d35e59121318b32bcd2ab8c6dd56c1e472fc91c3",
   "evidence": {
@@ -348,15 +347,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001792-0000-96256d90a000a130.parquet",
-      "sha256": "96256d90a000a1305a790de1e90c6d08656f987278d5e626b3d18b0df9aad36f",
-      "bytes": 49910,
-      "rows": 7,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.LinearCombination.eq_of_add",
     "mathlib:Mathlib.Tactic.LinearCombination.eq_of_add_pow",
@@ -368,5 +359,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/LinearCombination.lean\",null,null,\"Mathlib.Tactic.LinearCombination.eq_of_add_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NoncommRing.lean\",null,null,\"Mathlib.Tactic.NoncommRing.mul_nat_lit_eq_nsmul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NoncommRing.lean\",null,null,\"Mathlib.Tactic.NoncommRing.nat_lit_mul_eq_nsmul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49910,
+      "path": "data/train/pca/mathlib-001792-0000-96256d90a000a130.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "96256d90a000a1305a790de1e90c6d08656f987278d5e626b3d18b0df9aad36f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001793.json b/manifests/batches/mathlib/001793.json
index ffec345e739dd945a31c17010e082d7b73677e6a..1902ff37f9eac343d36b17b7c88bcf0aaa72e399 100644
--- a/manifests/batches/mathlib/001793.json
+++ b/manifests/batches/mathlib/001793.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001793",
   "batch_fingerprint": "a1a940d213de0b81d2da590946ec025e1583bf643b0421d833de214c2c3001aa",
   "evidence": {
@@ -792,29 +791,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001793-0000-a8343752b9b4cd33.parquet",
-      "sha256": "a8343752b9b4cd335c8f08b45a422c69404094ac8cf476fc37f9dcd0d2808549",
-      "bytes": 42340,
-      "rows": 11,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/dev/mathlib-001793-0000-63ba53b8798c8c42.parquet",
-      "sha256": "63ba53b8798c8c4270aa823a1fa1d35d102d9cf74c08402b01f6269c9231dca6",
-      "bytes": 32929,
-      "rows": 2,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    },
-    {
-      "path": "data/internal_test/mathlib-001793-0000-b61e46ccb5c32d7d.parquet",
-      "sha256": "b61e46ccb5c32d7d119eea5314dcb8b7b78b46e9fa51b11f88e9fa3d64395fd4",
-      "bytes": 42501,
-      "rows": 5,
-      "revision": "dd49bc0ea9fd8d920c50bafd699926b1385f802b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.ble_eq_false",
     "mathlib:Mathlib.Meta.NormNum.isNat_natAbs_neg",
@@ -840,5 +817,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Basic.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Basic.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_sub\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Basic.lean\",null,null,\"Mathlib.Meta.NormNum.isintCast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42340,
+      "path": "data/train/pf9/mathlib-001793-0000-a8343752b9b4cd33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a8343752b9b4cd335c8f08b45a422c69404094ac8cf476fc37f9dcd0d2808549"
+    },
+    {
+      "bytes": 32929,
+      "path": "data/dev/pf9/mathlib-001793-0000-63ba53b8798c8c42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "63ba53b8798c8c4270aa823a1fa1d35d102d9cf74c08402b01f6269c9231dca6"
+    },
+    {
+      "bytes": 42501,
+      "path": "data/internal_test/pf9/mathlib-001793-0000-b61e46ccb5c32d7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b61e46ccb5c32d7d119eea5314dcb8b7b78b46e9fa51b11f88e9fa3d64395fd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001794.json b/manifests/batches/mathlib/001794.json
index b5ec333c6788440f9b79393a7fb1331bb0d99e07..600012c85102d0ba55366d71b0963fc0a195d9a3 100644
--- a/manifests/batches/mathlib/001794.json
+++ b/manifests/batches/mathlib/001794.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001794",
   "batch_fingerprint": "6a4ba78f7ba4a1c45b05a0ed70ecab88de3f1e07157eae351c96393a12b66f6c",
   "evidence": {
@@ -62,29 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001794-0000-c68f95c0488abc71.parquet",
-      "sha256": "c68f95c0488abc71e6a5d37639c8a98326bb5dd279848abec117f14a385acb84",
-      "bytes": 61507,
-      "rows": 23,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001794-0000-71742f1e60ea81dc.parquet",
-      "sha256": "71742f1e60ea81dc20dc092d31b856756fbbad327a98863557718f407636198d",
-      "bytes": 32968,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001794-0000-eae5853ea13ad9a9.parquet",
-      "sha256": "eae5853ea13ad9a957c8bef0563cd525b966791082885553b80f2710983477cb",
-      "bytes": 26394,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.Finset.insert_eq_cons",
     "mathlib:Mathlib.Meta.Finset.range_succ'",
@@ -124,5 +101,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/DivMod.lean\",null,null,\"Mathlib.Meta.NormNum.isInt_emod_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/DivMod.lean\",null,null,\"Mathlib.Meta.NormNum.isInt_emod_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/DivMod.lean\",null,null,\"Mathlib.Meta.NormNum.isNat_neg_of_isNegNat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61507,
+      "path": "data/train/pcd/mathlib-001794-0000-c68f95c0488abc71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c68f95c0488abc71e6a5d37639c8a98326bb5dd279848abec117f14a385acb84"
+    },
+    {
+      "bytes": 32968,
+      "path": "data/dev/pcd/mathlib-001794-0000-71742f1e60ea81dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "71742f1e60ea81dc20dc092d31b856756fbbad327a98863557718f407636198d"
+    },
+    {
+      "bytes": 26394,
+      "path": "data/internal_test/pcd/mathlib-001794-0000-eae5853ea13ad9a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "eae5853ea13ad9a957c8bef0563cd525b966791082885553b80f2710983477cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001795.json b/manifests/batches/mathlib/001795.json
index 6451b895016d730a5c78b215f85fd88bccbc11d2..d5f3a8366bb2e32a12e47fe3045d0bdf8a68b3f5 100644
--- a/manifests/batches/mathlib/001795.json
+++ b/manifests/batches/mathlib/001795.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001795",
   "batch_fingerprint": "0a285214c3a89a29c35418b23a3452ab3b311b29c8a0503de97974b0bd76824a",
   "evidence": {
@@ -289,22 +288,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001795-0000-8f69c4870cb4a119.parquet",
-      "sha256": "8f69c4870cb4a11932d19df95625a8444d8209ad1938e323e99e9de583a38ccc",
-      "bytes": 57486,
-      "rows": 13,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001795-0000-b3a3ff00f7cb4cfe.parquet",
-      "sha256": "b3a3ff00f7cb4cfec17aca3fa465f3695972fcad378a8ab171a7a40cdb349adf",
-      "bytes": 29463,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.Rat.invOf_denom_swap",
     "mathlib:Mathlib.Meta.NormNum.isNat_eq_false",
@@ -322,5 +306,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/GCD.lean\",null,null,\"Tactic.NormNum.int_lcm_helper\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/GCD.lean\",null,null,\"Tactic.NormNum.nat_gcd_helper_2\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/GCD.lean\",null,null,\"Tactic.NormNum.nat_lcm_helper\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57486,
+      "path": "data/train/pc9/mathlib-001795-0000-8f69c4870cb4a119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8f69c4870cb4a11932d19df95625a8444d8209ad1938e323e99e9de583a38ccc"
+    },
+    {
+      "bytes": 29463,
+      "path": "data/dev/pc9/mathlib-001795-0000-b3a3ff00f7cb4cfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b3a3ff00f7cb4cfec17aca3fa465f3695972fcad378a8ab171a7a40cdb349adf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001796.json b/manifests/batches/mathlib/001796.json
index 13c8527c76acb5d7a30863bcb2d28bab8e859d82..7d44b2e9af3263ad00e95e8d8f19dda1ab72fb41 100644
--- a/manifests/batches/mathlib/001796.json
+++ b/manifests/batches/mathlib/001796.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001796",
   "batch_fingerprint": "c2e88efa695059ddbd15d3ddeee61cd2776550a284cfd8da98789ed26d928404",
   "evidence": {
@@ -464,22 +463,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001796-0000-996f67b8f9efcb31.parquet",
-      "sha256": "996f67b8f9efcb313d650dd63c26cc0c22e8d8f8c74d8a436ab3616a61c81631",
-      "bytes": 50829,
-      "rows": 12,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001796-0000-ae07571e96c47a89.parquet",
-      "sha256": "ae07571e96c47a897f28a1a0cdd308f159f8f4beac74b5777838b35e7a977223",
-      "bytes": 24778,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.isInt_ratCast",
     "mathlib:Mathlib.Meta.NormNum.isNat_ratCast",
@@ -497,5 +481,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Inv.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_inv_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Inv.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_inv_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Inv.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_mkRat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50829,
+      "path": "data/train/pe5/mathlib-001796-0000-996f67b8f9efcb31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "996f67b8f9efcb313d650dd63c26cc0c22e8d8f8c74d8a436ab3616a61c81631"
+    },
+    {
+      "bytes": 24778,
+      "path": "data/dev/pe5/mathlib-001796-0000-ae07571e96c47a89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ae07571e96c47a897f28a1a0cdd308f159f8f4beac74b5777838b35e7a977223"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001797.json b/manifests/batches/mathlib/001797.json
index fc86aa36288a5796c3ff95037032617d4ed72ff4..2d1cc8921d223b6a1add598188604512fb61ecd0 100644
--- a/manifests/batches/mathlib/001797.json
+++ b/manifests/batches/mathlib/001797.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001797",
   "batch_fingerprint": "04b52152dc09ec269c8f3cbe68ca15b3b7c6df6531e1f03fe195bdff54aee78a",
   "evidence": {
@@ -580,22 +579,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001797-0000-aaeba859d170bbb5.parquet",
-      "sha256": "aaeba859d170bbb5c7030a7bb72aa657cf4268a4a7285cf706deed19ab771037",
-      "bytes": 62103,
-      "rows": 17,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001797-0000-96e1ede7f4cb6dda.parquet",
-      "sha256": "96e1ede7f4cb6ddafaf3d6af31d0b1660879186ae8d8e762dc5763dd2afcb4cc",
-      "bytes": 50844,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.JacobiSym.mod_left",
     "mathlib:Mathlib.Meta.NormNum.LegendreSym.to_jacobiSym",
@@ -623,5 +607,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/LegendreSymbol.lean\",null,null,\"Mathlib.Meta.NormNum.jacobiSymNat.qr\u2081'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/LegendreSymbol.lean\",null,null,\"Mathlib.Meta.NormNum.jacobiSymNat.qr\u2083\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/LegendreSymbol.lean\",null,null,\"Mathlib.Meta.NormNum.jacobiSymNat.zero_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62103,
+      "path": "data/train/p19/mathlib-001797-0000-aaeba859d170bbb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "aaeba859d170bbb5c7030a7bb72aa657cf4268a4a7285cf706deed19ab771037"
+    },
+    {
+      "bytes": 50844,
+      "path": "data/dev/p19/mathlib-001797-0000-96e1ede7f4cb6dda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "96e1ede7f4cb6ddafaf3d6af31d0b1660879186ae8d8e762dc5763dd2afcb4cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001798.json b/manifests/batches/mathlib/001798.json
index 5ec98cbb889225249659a34a2a55b1d14e4e5607..b8a107dd1feaf9a9c6556a7a50bf3f07ace0afb8 100644
--- a/manifests/batches/mathlib/001798.json
+++ b/manifests/batches/mathlib/001798.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001798",
   "batch_fingerprint": "26ed8602e576d7b1ff7c4d92dc99ae26cf67da4d7bc40d0c17a3ea3fe8a662dd",
   "evidence": {
@@ -239,19 +238,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/mathlib-001798-0000-8fe683f9e5165075.parquet",
-      "sha256": "8fe683f9e516507568d1607fef17c52fec6db0f0734be2681b4fbfa70c258631",
-      "bytes": 41346,
-      "rows": 3,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Tactic.NormNum.nat_sqrt_helper"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/NatSqrt.lean\",null,null,\"Tactic.NormNum.nat_sqrt_helper\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41346,
+      "path": "data/dev/p4c/mathlib-001798-0000-8fe683f9e5165075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8fe683f9e516507568d1607fef17c52fec6db0f0734be2681b4fbfa70c258631"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001799.json b/manifests/batches/mathlib/001799.json
index 32b3976a420a4eb573e9226e8b72a13464958f04..93bb4a3583962067e44bec495a67c556123e1012 100644
--- a/manifests/batches/mathlib/001799.json
+++ b/manifests/batches/mathlib/001799.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001799",
   "batch_fingerprint": "e99465fde04fb69f5a90aea246ee4ed1f8e53f868e28c04f254968deb660788f",
   "evidence": {
@@ -150,22 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001799-0000-53a311115c1ad2db.parquet",
-      "sha256": "53a311115c1ad2db318e372cadf5a3f7b34b9264ac0d1bf426a25361aad3541c",
-      "bytes": 74069,
-      "rows": 23,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001799-0000-0782fbb47df2948a.parquet",
-      "sha256": "0782fbb47df2948af032ea04bc27f5ed12b48704d44ddd190543a6a78104425e",
-      "bytes": 27899,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.IsNatPowT.bit0",
     "mathlib:Mathlib.Meta.NormNum.IsNatPowT.bit1",
@@ -201,5 +185,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Pow.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_pow\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Pow.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_zpow_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Pow.lean\",null,null,\"Mathlib.Meta.NormNum.isRat_zpow_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74069,
+      "path": "data/train/p42/mathlib-001799-0000-53a311115c1ad2db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "53a311115c1ad2db318e372cadf5a3f7b34b9264ac0d1bf426a25361aad3541c"
+    },
+    {
+      "bytes": 27899,
+      "path": "data/internal_test/p42/mathlib-001799-0000-0782fbb47df2948a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0782fbb47df2948af032ea04bc27f5ed12b48704d44ddd190543a6a78104425e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001800.json b/manifests/batches/mathlib/001800.json
index ea8a3aa4003da723fdeb5955a7f0dd0855e5ae21..c7a6d088d38ef931d21c96e08dde63db4df316f2 100644
--- a/manifests/batches/mathlib/001800.json
+++ b/manifests/batches/mathlib/001800.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001800",
   "batch_fingerprint": "6fc1a530ab89eb71e3837c55c559dc32d80def71b0fa4adaff3be636c6299764",
   "evidence": {
@@ -738,29 +737,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001800-0000-9ec155ce081a82e5.parquet",
-      "sha256": "9ec155ce081a82e58a4f066393ec0db18018b4ce501368163cc2e5b1de3a6c57",
-      "bytes": 58841,
-      "rows": 20,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001800-0000-83dbff81e09df015.parquet",
-      "sha256": "83dbff81e09df015146de39323a4c21bf38bb46a5bf967e95bdee27634d3c601",
-      "bytes": 25214,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001800-0000-227ab31171fc657a.parquet",
-      "sha256": "227ab31171fc657a9c33606cd6e10bb928fcbe17b9dfd6f075a33b96f80330f3",
-      "bytes": 45119,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.NormNum.IsInt.neg_to_eq",
     "mathlib:Mathlib.Meta.NormNum.IsInt.to_isNat",
@@ -792,5 +769,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Result.lean\",null,null,\"Mathlib.Meta.NormNum.IsRat.to_isInt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Result.lean\",null,null,\"Mathlib.Meta.NormNum.IsRat.to_isNat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/NormNum/Result.lean\",null,null,\"Mathlib.Meta.NormNum.IsRat.to_raw_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58841,
+      "path": "data/train/p91/mathlib-001800-0000-9ec155ce081a82e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9ec155ce081a82e58a4f066393ec0db18018b4ce501368163cc2e5b1de3a6c57"
+    },
+    {
+      "bytes": 25214,
+      "path": "data/dev/p91/mathlib-001800-0000-83dbff81e09df015.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "83dbff81e09df015146de39323a4c21bf38bb46a5bf967e95bdee27634d3c601"
+    },
+    {
+      "bytes": 45119,
+      "path": "data/internal_test/p91/mathlib-001800-0000-227ab31171fc657a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "227ab31171fc657a9c33606cd6e10bb928fcbe17b9dfd6f075a33b96f80330f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001801.json b/manifests/batches/mathlib/001801.json
index 6117b8028ed2997691ea480dfe5791b7c15b685c..d6fa5b8573e96457633b5f8a8ef1c33ae75888bb 100644
--- a/manifests/batches/mathlib/001801.json
+++ b/manifests/batches/mathlib/001801.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001801",
   "batch_fingerprint": "7c3b8af96c766d9e23807a4da8e09db81df5bb1ed01323904fa7a36788b7b9df",
   "evidence": {
@@ -436,22 +435,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001801-0000-8b5b1c0b3f6601a2.parquet",
-      "sha256": "8b5b1c0b3f6601a28244e21508f5ad77fc4363c5c9872d98c242b863f41e8209",
-      "bytes": 47150,
-      "rows": 13,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001801-0000-7b8b2e1cb9bbdf68.parquet",
-      "sha256": "7b8b2e1cb9bbdf68d25df4457a195ee88c57d0fff68d0e65dae907a53c33fbe4",
-      "bytes": 36998,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.Positivity.int_div_self_pos",
     "mathlib:Mathlib.Meta.Positivity.ite_ne_zero",
@@ -473,5 +457,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Basic.lean\",null,null,\"Mathlib.Meta.Positivity.ite_pos\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Basic.lean\",null,null,\"Mathlib.Meta.Positivity.max_ne\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Basic.lean\",null,null,\"Mathlib.Meta.Positivity.min_ne\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47150,
+      "path": "data/train/p77/mathlib-001801-0000-8b5b1c0b3f6601a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8b5b1c0b3f6601a28244e21508f5ad77fc4363c5c9872d98c242b863f41e8209"
+    },
+    {
+      "bytes": 36998,
+      "path": "data/dev/p77/mathlib-001801-0000-7b8b2e1cb9bbdf68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7b8b2e1cb9bbdf68d25df4457a195ee88c57d0fff68d0e65dae907a53c33fbe4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001802.json b/manifests/batches/mathlib/001802.json
index fb0385263df14647d9b803116f247bd3533d09c7..e42dfa2fec13f4f941b2159f66dc87c9eeb418da 100644
--- a/manifests/batches/mathlib/001802.json
+++ b/manifests/batches/mathlib/001802.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001802",
   "batch_fingerprint": "93bee6728e2c8b57eb35799bfc91fc29cc055e105c913a9ccd1dfec96e7ddab1",
   "evidence": {
@@ -474,22 +473,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001802-0000-45533996807f36fc.parquet",
-      "sha256": "45533996807f36fc79cbf8075da20161e4f04fa3ec68b084c789a0b53f344cfc",
-      "bytes": 66045,
-      "rows": 16,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001802-0000-e3623c45355191c1.parquet",
-      "sha256": "e3623c45355191c190206a53de88857344488c114f649eab09d52628197b2a84",
-      "bytes": 52819,
-      "rows": 4,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Meta.Positivity.nonneg_of_isNat",
     "mathlib:Mathlib.Meta.Positivity.nonneg_of_isRat",
@@ -505,5 +489,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Core.lean\",null,null,\"Mathlib.Meta.Positivity.nz_of_isRat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Core.lean\",null,null,\"Mathlib.Meta.Positivity.pos_of_isNat\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Positivity/Core.lean\",null,null,\"Mathlib.Meta.Positivity.pos_of_isRat\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66045,
+      "path": "data/train/pce/mathlib-001802-0000-45533996807f36fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "45533996807f36fc79cbf8075da20161e4f04fa3ec68b084c789a0b53f344cfc"
+    },
+    {
+      "bytes": 52819,
+      "path": "data/internal_test/pce/mathlib-001802-0000-e3623c45355191c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e3623c45355191c190206a53de88857344488c114f649eab09d52628197b2a84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001803.json b/manifests/batches/mathlib/001803.json
index e49dd3d2334f896878fb9d0450b0dfbf19c53b1e..a1d2a75da36fb08689f76ad23df49dc17e03cbc8 100644
--- a/manifests/batches/mathlib/001803.json
+++ b/manifests/batches/mathlib/001803.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001803",
   "batch_fingerprint": "2a2e4193e442bb7312620ca6e635637fe1d236bf88cacb78176860887facddbe",
   "evidence": {
@@ -62,22 +61,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001803-0000-489081fea93210d4.parquet",
-      "sha256": "489081fea93210d4e4825f47c3f22c54e4158a82d2dcd4adbe58ec43ac76ad25",
-      "bytes": 40831,
-      "rows": 5,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001803-0000-b0c7086ecf5d4ea1.parquet",
-      "sha256": "b0c7086ecf5d4ea1e161a22e22307e4df90655c59ccb0ded20d8cf54d597c526",
-      "bytes": 42979,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.Qify.intCast_eq",
     "mathlib:Mathlib.Tactic.Qify.intCast_ne",
@@ -91,5 +75,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ReduceModChar.lean\",null,null,\"Tactic.ReduceModChar.CharP.isInt_of_mod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ReduceModChar.lean\",null,null,\"Tactic.ReduceModChar.CharP.neg_eq_sub_one_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/ReduceModChar.lean\",null,null,\"Tactic.ReduceModChar.CharP.neg_mul_eq_sub_one_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40831,
+      "path": "data/train/pea/mathlib-001803-0000-489081fea93210d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "489081fea93210d4e4825f47c3f22c54e4158a82d2dcd4adbe58ec43ac76ad25"
+    },
+    {
+      "bytes": 42979,
+      "path": "data/internal_test/pea/mathlib-001803-0000-b0c7086ecf5d4ea1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b0c7086ecf5d4ea1e161a22e22307e4df90655c59ccb0ded20d8cf54d597c526"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001804.json b/manifests/batches/mathlib/001804.json
index abcaeba17d70cd7570a46a6706190d68f65dab0b..373a2cb554da102f527466c05cfa2f560bafa7d0 100644
--- a/manifests/batches/mathlib/001804.json
+++ b/manifests/batches/mathlib/001804.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001804",
   "batch_fingerprint": "7bc562c5bfd66e35d56840cf7f5877e44bf3c72cf5aacbd00e7e6150b3db36b1",
   "evidence": {
@@ -150,29 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001804-0000-9aac10a5d411de28.parquet",
-      "sha256": "9aac10a5d411de28061a812356950dcf1bb917cfd07a326431aaced4ce78a2ae",
-      "bytes": 196781,
-      "rows": 86,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001804-0000-bd4a723db5143534.parquet",
-      "sha256": "bd4a723db51435340b40570bcbe91d42b74a40174db1d378b10bc5033a81aed2",
-      "bytes": 43531,
-      "rows": 6,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001804-0000-ccdb5c3101c12af2.parquet",
-      "sha256": "ccdb5c3101c12af27e65c7abf047fab305d55452ccc95456f659312fc0baff71",
-      "bytes": 44079,
-      "rows": 8,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.Rify.ratCast_eq",
     "mathlib:Mathlib.Tactic.Rify.ratCast_le",
@@ -306,5 +283,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/Basic.lean\",null,null,\"Mathlib.Tactic.Ring.toProd_pf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/Basic.lean\",null,null,\"Mathlib.Tactic.Ring.zero_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/Basic.lean\",null,null,\"Mathlib.Tactic.Ring.zero_pow\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196781,
+      "path": "data/train/p70/mathlib-001804-0000-9aac10a5d411de28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "9aac10a5d411de28061a812356950dcf1bb917cfd07a326431aaced4ce78a2ae"
+    },
+    {
+      "bytes": 43531,
+      "path": "data/dev/p70/mathlib-001804-0000-bd4a723db5143534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bd4a723db51435340b40570bcbe91d42b74a40174db1d378b10bc5033a81aed2"
+    },
+    {
+      "bytes": 44079,
+      "path": "data/internal_test/p70/mathlib-001804-0000-ccdb5c3101c12af2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ccdb5c3101c12af27e65c7abf047fab305d55452ccc95456f659312fc0baff71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001805.json b/manifests/batches/mathlib/001805.json
index 91a3d8f4cd63c991f99ee0c74fd65f6f62732e4a..f9f33939f26853289a44a94833a3432a78d4a4db 100644
--- a/manifests/batches/mathlib/001805.json
+++ b/manifests/batches/mathlib/001805.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001805",
   "batch_fingerprint": "06e7949881748dc7465ca9f28686ac7dea629b2a1deda715488df75119897132",
   "evidence": {
@@ -529,15 +528,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001805-0000-aac1dad3aa65e1f5.parquet",
-      "sha256": "aac1dad3aa65e1f521177444719db75c109c64c73cd24be171155b6f29b7ef40",
-      "bytes": 30743,
-      "rows": 6,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Mathlib.Tactic.RingNF.int_rawCast_neg",
     "mathlib:Mathlib.Tactic.RingNF.mul_neg",
@@ -553,5 +544,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/RingNF.lean\",null,null,\"Mathlib.Tactic.RingNF.nat_rawCast_1\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/RingNF.lean\",null,null,\"Mathlib.Tactic.RingNF.rat_rawCast_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Tactic/Ring/RingNF.lean\",null,null,\"Mathlib.Tactic.RingNF.rat_rawCast_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 30743,
+      "path": "data/train/peb/mathlib-001805-0000-aac1dad3aa65e1f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aac1dad3aa65e1f521177444719db75c109c64c73cd24be171155b6f29b7ef40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001806.json b/manifests/batches/mathlib/001806.json
index cd4389ab05b377eb14c1925cab60914730301ef3..5dd992673f5fad270af08ebd5d8358f80c2efb3b 100644
--- a/manifests/batches/mathlib/001806.json
+++ b/manifests/batches/mathlib/001806.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001806",
   "batch_fingerprint": "4edca3f59734d0dc55827f3be8844506117922ce93b7a03e87f248554704d081",
   "evidence": {
@@ -1124,19 +1123,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001806-0000-0c6044d2e64d89a8.parquet",
-      "sha256": "0c6044d2e64d89a8bba093257d88a04a06c6fd2ce61b257f21614afd318622b5",
-      "bytes": 49940,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SlimCheck.InjectiveFunction.List.applyId_cons"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Testing/SlimCheck/Functions.lean\",null,null,\"SlimCheck.InjectiveFunction.List.applyId_cons\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49940,
+      "path": "data/train/pd0/mathlib-001806-0000-0c6044d2e64d89a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0c6044d2e64d89a8bba093257d88a04a06c6fd2ce61b257f21614afd318622b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001807.json b/manifests/batches/mathlib/001807.json
index 48b7582a34e010cfcdbd5255b372feb3a2af4160..8cc51dce0b42f66e6bd590c7bd92b308e9ee02de 100644
--- a/manifests/batches/mathlib/001807.json
+++ b/manifests/batches/mathlib/001807.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001807",
   "batch_fingerprint": "27e56d9a9e175dde008c1eef8db7f01142c5f8f7cba4f81c991d597fe89d2ee1",
   "evidence": {
@@ -731,29 +730,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001807-0000-12fb371e3bd22ff3.parquet",
-      "sha256": "12fb371e3bd22ff3ddd4d5f6ac6547b99db4410aa8cab071e3d317dfa5d9c63b",
-      "bytes": 75906,
-      "rows": 24,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001807-0000-8441569f87087f66.parquet",
-      "sha256": "8441569f87087f663b78146bc37f0672377522dd6fb1b1fd19bb20e75bf1c64c",
-      "bytes": 53988,
-      "rows": 3,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001807-0000-ea6fcf8fad0ba212.parquet",
-      "sha256": "ea6fcf8fad0ba212a3855ce2af34821dae82c2dae2553b6d5db991eccdc8f60e",
-      "bytes": 55857,
-      "rows": 8,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Inducing.alexandrovDiscrete",
     "mathlib:alexandrovDiscrete_coinduced",
@@ -795,5 +772,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/AlexandrovDiscrete.lean\",null,null,\"principal_exterior\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/AlexandrovDiscrete.lean\",null,null,\"specializes_iff_exterior_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/AlexandrovDiscrete.lean\",null,null,\"subset_exterior_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75906,
+      "path": "data/train/pa9/mathlib-001807-0000-12fb371e3bd22ff3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "12fb371e3bd22ff3ddd4d5f6ac6547b99db4410aa8cab071e3d317dfa5d9c63b"
+    },
+    {
+      "bytes": 53988,
+      "path": "data/dev/pa9/mathlib-001807-0000-8441569f87087f66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8441569f87087f663b78146bc37f0672377522dd6fb1b1fd19bb20e75bf1c64c"
+    },
+    {
+      "bytes": 55857,
+      "path": "data/internal_test/pa9/mathlib-001807-0000-ea6fcf8fad0ba212.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ea6fcf8fad0ba212a3855ce2af34821dae82c2dae2553b6d5db991eccdc8f60e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001808.json b/manifests/batches/mathlib/001808.json
index 131041ac36e0d525adba6120c40a74c3a2acf3a3..8df76d2891a96a077e0fa5558f4c1e5a8f13e05a 100644
--- a/manifests/batches/mathlib/001808.json
+++ b/manifests/batches/mathlib/001808.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001808",
   "batch_fingerprint": "e8cb9ec54d1e8bc49985302c5bd5b2d6ad77902afa3f720ac5c0983b010e9bda",
   "evidence": {
@@ -348,29 +347,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001808-0000-1234b2bd4ad14e5e.parquet",
-      "sha256": "1234b2bd4ad14e5e775b19be9bf52335f24221a6ef2eaf42cae1453ea86b8691",
-      "bytes": 62421,
-      "rows": 7,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001808-0000-b0b2ef9b28104097.parquet",
-      "sha256": "b0b2ef9b28104097fd9be84c537ab86deff1d2dd2440c8f83313a82492eda649",
-      "bytes": 42874,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001808-0000-eb2a7d337495a17e.parquet",
-      "sha256": "eb2a7d337495a17ef40ff19b1816c13138295be0be57353b9b2e1e15490e7b93",
-      "bytes": 57975,
-      "rows": 3,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AffineMap.homothety_isOpenMap",
     "mathlib:Subalgebra.isClosed_topologicalClosure",
@@ -384,5 +361,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Algebra.lean\",null,null,\"Subalgebra.topologicalClosure_comap_homeomorph\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Algebra.lean\",null,null,\"continuous_algebraMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Algebra.lean\",null,null,\"continuous_algebraMap_iff_smul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62421,
+      "path": "data/train/pb4/mathlib-001808-0000-1234b2bd4ad14e5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1234b2bd4ad14e5e775b19be9bf52335f24221a6ef2eaf42cae1453ea86b8691"
+    },
+    {
+      "bytes": 42874,
+      "path": "data/dev/pb4/mathlib-001808-0000-b0b2ef9b28104097.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b0b2ef9b28104097fd9be84c537ab86deff1d2dd2440c8f83313a82492eda649"
+    },
+    {
+      "bytes": 57975,
+      "path": "data/internal_test/pb4/mathlib-001808-0000-eb2a7d337495a17e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "eb2a7d337495a17ef40ff19b1816c13138295be0be57353b9b2e1e15490e7b93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001809.json b/manifests/batches/mathlib/001809.json
index 0e6c439886d6115c3ece5a946c0fdf7537775fb6..6f87d57eedc0f41844df8cc2ab68914ef4406c80 100644
--- a/manifests/batches/mathlib/001809.json
+++ b/manifests/batches/mathlib/001809.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001809",
   "batch_fingerprint": "af067ec87d4923cf15a639b5027d41eeb51fdad5cdf5f4ab99d69746e1657046",
   "evidence": {
@@ -1309,15 +1308,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001809-0000-d530d6ea5562d55a.parquet",
-      "sha256": "d530d6ea5562d55a8507eea2bd59168ddc026ade30227b2ec5c183a995543f54",
-      "bytes": 104526,
-      "rows": 23,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Dense.smul",
     "mathlib:Units.embedding_val_mk'",
@@ -1341,5 +1332,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/ConstMulAction.lean\",null,null,\"tendsto_const_smul_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Constructions.lean\",null,null,\"Units.embedding_val_mk'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Constructions.lean\",null,null,\"Units.topology_eq_inf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104526,
+      "path": "data/train/p73/mathlib-001809-0000-d530d6ea5562d55a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d530d6ea5562d55a8507eea2bd59168ddc026ade30227b2ec5c183a995543f54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001810.json b/manifests/batches/mathlib/001810.json
index 93667bd97340b026878f45c54fd1141bb029b9c4..79160eee5f56ca3f5b5e690a98fb83555a59d4d2 100644
--- a/manifests/batches/mathlib/001810.json
+++ b/manifests/batches/mathlib/001810.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001810",
   "batch_fingerprint": "8f6e97212f312226d4daa1c32a1d88134618a42c53f12b6f064f0800de11384d",
   "evidence": {
@@ -700,29 +699,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001810-0000-4cd8985f2d903b72.parquet",
-      "sha256": "4cd8985f2d903b72e1b71c25c14f0e012bf3aa97b387049bdbffaa560a429dd3",
-      "bytes": 81328,
-      "rows": 10,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001810-0000-403665c80ea2f65a.parquet",
-      "sha256": "403665c80ea2f65acd7939f04972eeba8163d72d2953de3f2d628af1706b26c2",
-      "bytes": 54041,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001810-0000-87f7cac3707ea66e.parquet",
-      "sha256": "87f7cac3707ea66e50741dbb83072e62273b641138e1eb799d2283cae7106a92",
-      "bytes": 61089,
-      "rows": 3,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAffineMap.mk_coe",
     "mathlib:ContinuousAffineMap.to_affineMap_injective",
@@ -740,5 +717,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/ContinuousMonoidHom.lean\",null,null,\"ContinuousMonoidHom.closedEmbedding_toContinuousMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/ContinuousMonoidHom.lean\",null,null,\"ContinuousMonoidHom.range_toContinuousMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/ContinuousMonoidHom.lean\",null,null,\"ContinuousMonoidHom.toContinuousMap_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81328,
+      "path": "data/train/p67/mathlib-001810-0000-4cd8985f2d903b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4cd8985f2d903b72e1b71c25c14f0e012bf3aa97b387049bdbffaa560a429dd3"
+    },
+    {
+      "bytes": 54041,
+      "path": "data/dev/p67/mathlib-001810-0000-403665c80ea2f65a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "403665c80ea2f65acd7939f04972eeba8163d72d2953de3f2d628af1706b26c2"
+    },
+    {
+      "bytes": 61089,
+      "path": "data/internal_test/p67/mathlib-001810-0000-87f7cac3707ea66e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "87f7cac3707ea66e50741dbb83072e62273b641138e1eb799d2283cae7106a92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001811.json b/manifests/batches/mathlib/001811.json
index 0164f0a02b055814fa0c094a72494882cba1e57b..3192c225d0dc830cacd65f294bf8ba61d08b0eb4 100644
--- a/manifests/batches/mathlib/001811.json
+++ b/manifests/batches/mathlib/001811.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001811",
   "batch_fingerprint": "29052862d0fc1147cfbef112c5cffd31d4e3e3be527ed813f48e21da7c6ed707",
   "evidence": {
@@ -450,19 +449,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001811-0000-a77e266d949c878d.parquet",
-      "sha256": "a77e266d949c878d7a5e68e2583119e4b986df7d1a18fe1ed646820d444caa19",
-      "bytes": 49814,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalMin.inv"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Field.lean\",null,null,\"IsLocalMin.inv\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49814,
+      "path": "data/train/p52/mathlib-001811-0000-a77e266d949c878d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a77e266d949c878d7a5e68e2583119e4b986df7d1a18fe1ed646820d444caa19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001812.json b/manifests/batches/mathlib/001812.json
index 3c025ceb48e68db3e8e2d87bb80457d5b0698816..9bc0ee0e9af20a82e6524480e7c6eda688dc2637 100644
--- a/manifests/batches/mathlib/001812.json
+++ b/manifests/batches/mathlib/001812.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001812",
   "batch_fingerprint": "23c4df05f0717a9802aa061ad86d1854b2e6f34599397a0ea717bfb089b491f3",
   "evidence": {
@@ -4170,29 +4169,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001812-0000-3ecec5e35dbcb29c.parquet",
-      "sha256": "3ecec5e35dbcb29c889bdd628101ff2f24c52853e1e264de65b236b3f730beb4",
-      "bytes": 411060,
-      "rows": 111,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001812-0000-e11e6d9a4e51696d.parquet",
-      "sha256": "e11e6d9a4e51696dfb171d14dec37d00663fa71892735e9f90c6d831468f4508",
-      "bytes": 63670,
-      "rows": 9,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001812-0000-492186a05bba1490.parquet",
-      "sha256": "492186a05bba14903313af0d01d44a9cb8138e0f50c98e53cc176c8ef37758ec",
-      "bytes": 84271,
-      "rows": 20,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DenseRange.topologicalClosure_map_subgroup",
     "mathlib:Filter.HasBasis.nhds_of_one",
@@ -4326,5 +4303,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Group/Basic.lean\",null,null,\"tendsto_inv_nhdsWithin_Ioi_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Group/Basic.lean\",null,null,\"topologicalGroup_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Group/Basic.lean\",null,null,\"topologicalGroup_inf\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411060,
+      "path": "data/train/p79/mathlib-001812-0000-3ecec5e35dbcb29c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 111,
+      "sha256": "3ecec5e35dbcb29c889bdd628101ff2f24c52853e1e264de65b236b3f730beb4"
+    },
+    {
+      "bytes": 63670,
+      "path": "data/dev/p79/mathlib-001812-0000-e11e6d9a4e51696d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e11e6d9a4e51696dfb171d14dec37d00663fa71892735e9f90c6d831468f4508"
+    },
+    {
+      "bytes": 84271,
+      "path": "data/internal_test/p79/mathlib-001812-0000-492186a05bba1490.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "492186a05bba14903313af0d01d44a9cb8138e0f50c98e53cc176c8ef37758ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001813.json b/manifests/batches/mathlib/001813.json
index 5251e1552a4326fbd5e41b7a7191b4c8b83c6767..bf20f79c7249499954741602955a32a6406e1582 100644
--- a/manifests/batches/mathlib/001813.json
+++ b/manifests/batches/mathlib/001813.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001813",
   "batch_fingerprint": "a77b749d1dd1eca5b9655e7c2778bd7ec55714047f90e54f27482711b01a8ee8",
   "evidence": {
@@ -605,7 +604,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001814.json b/manifests/batches/mathlib/001814.json
index 78b1c510a41fbf0a19d67ffb2599fdaa982ffc15..849a94aa0c1e22f7a4b6a130ce3c0f23781ff63e 100644
--- a/manifests/batches/mathlib/001814.json
+++ b/manifests/batches/mathlib/001814.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001814",
   "batch_fingerprint": "fb9da7cde4215cca8131146e5fb9a11a49a992f917c793f933ca0316d31d7f48",
   "evidence": {
@@ -1255,29 +1254,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001814-0000-c67838ec3c7a225d.parquet",
-      "sha256": "c67838ec3c7a225d69811c4e36140d3e2115af1e2e68348d9abea07117d4fea8",
-      "bytes": 75990,
-      "rows": 12,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001814-0000-b689ddba236c6e17.parquet",
-      "sha256": "b689ddba236c6e179e357113e28d7cf5db2d2755f2205c0138a1f7ec193de6f7",
-      "bytes": 30991,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001814-0000-5ec38214ef38c6de.parquet",
-      "sha256": "5ec38214ef38c6defa4adaf2c85e4f6e0e560f5f06b2733745756a785e54bfe2",
-      "bytes": 49538,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.div",
     "mathlib:Continuous.div_const",
@@ -1303,5 +1280,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/GroupWithZero.lean\",null,null,\"map_mul_right_nhds_one\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/GroupWithZero.lean\",null,null,\"nhds_inv\u2080\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/GroupWithZero.lean\",null,null,\"nhds_translation_mul_inv\u2080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75990,
+      "path": "data/train/p74/mathlib-001814-0000-c67838ec3c7a225d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c67838ec3c7a225d69811c4e36140d3e2115af1e2e68348d9abea07117d4fea8"
+    },
+    {
+      "bytes": 30991,
+      "path": "data/dev/p74/mathlib-001814-0000-b689ddba236c6e17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b689ddba236c6e179e357113e28d7cf5db2d2755f2205c0138a1f7ec193de6f7"
+    },
+    {
+      "bytes": 49538,
+      "path": "data/internal_test/p74/mathlib-001814-0000-5ec38214ef38c6de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5ec38214ef38c6defa4adaf2c85e4f6e0e560f5f06b2733745756a785e54bfe2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001815.json b/manifests/batches/mathlib/001815.json
index a96bb057650ef2baf185aaff4115f435a9be6c5d..0527d50997c9d4d878a273f1b2c4e49fe068c494 100644
--- a/manifests/batches/mathlib/001815.json
+++ b/manifests/batches/mathlib/001815.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001815",
   "batch_fingerprint": "809070aa7573e7353074cbe2adca22edb479fb70058039b5218ab2db04c5658a",
   "evidence": {
@@ -2386,22 +2385,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001815-0000-13aa75acbae599e3.parquet",
-      "sha256": "13aa75acbae599e3f45ee828600dc73b1e327a7c6881d15096759d84037c5c03",
-      "bytes": 222110,
-      "rows": 60,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001815-0000-8ab43840459a058e.parquet",
-      "sha256": "8ab43840459a058ed4834c47e8d95825121d01332dd145ad5261b59767cd2744",
-      "bytes": 82672,
-      "rows": 12,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.hasProd_iff",
     "mathlib:Equiv.hasProd_iff_of_mulSupport",
@@ -2499,5 +2483,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean\",null,null,\"hasProd_pi_single\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean\",null,null,\"tprod_comm'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean\",null,null,\"tprod_setProd_singleton_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222110,
+      "path": "data/train/p48/mathlib-001815-0000-13aa75acbae599e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "13aa75acbae599e3f45ee828600dc73b1e327a7c6881d15096759d84037c5c03"
+    },
+    {
+      "bytes": 82672,
+      "path": "data/internal_test/p48/mathlib-001815-0000-8ab43840459a058e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8ab43840459a058ed4834c47e8d95825121d01332dd145ad5261b59767cd2744"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001816.json b/manifests/batches/mathlib/001816.json
index 065c7768b1d8176dd196cd5ff1fadca9665a231c..fa020c6f7dac67aa81f8589be21347488658ece9 100644
--- a/manifests/batches/mathlib/001816.json
+++ b/manifests/batches/mathlib/001816.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001816",
   "batch_fingerprint": "61896d2ddd379d1ffe0c9afb4c5d45a30b76e6c1548eab08a9cb0495341055de",
   "evidence": {
@@ -1459,29 +1458,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001816-0000-591819c104cc86fd.parquet",
-      "sha256": "591819c104cc86fd4e09a0c3b550562c6c181f7ea681b7ef3b5c6d16d67a955e",
-      "bytes": 93904,
-      "rows": 24,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001816-0000-1d9d192dc24e1240.parquet",
-      "sha256": "1d9d192dc24e1240c93368fab40e45fd6f7117d4ac0ce800acf9b6a95d057020",
-      "bytes": 45199,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001816-0000-1ea955daccc32a2e.parquet",
-      "sha256": "1ea955daccc32a2e28353e3cade2362d411abd4f44d38b53c0183e800557e41c",
-      "bytes": 41792,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Finset.hasProd",
     "mathlib:Finset.hasProd_compl_iff",
@@ -1521,5 +1498,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Group.lean\",null,null,\"multipliable_iff_tprod_vanishing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Group.lean\",null,null,\"multipliable_iff_vanishing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Group.lean\",null,null,\"tprod_eq_mul_tprod_ite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93904,
+      "path": "data/train/pb0/mathlib-001816-0000-591819c104cc86fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "591819c104cc86fd4e09a0c3b550562c6c181f7ea681b7ef3b5c6d16d67a955e"
+    },
+    {
+      "bytes": 45199,
+      "path": "data/dev/pb0/mathlib-001816-0000-1d9d192dc24e1240.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1d9d192dc24e1240c93368fab40e45fd6f7117d4ac0ce800acf9b6a95d057020"
+    },
+    {
+      "bytes": 41792,
+      "path": "data/internal_test/pb0/mathlib-001816-0000-1ea955daccc32a2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1ea955daccc32a2e28353e3cade2362d411abd4f44d38b53c0183e800557e41c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001817.json b/manifests/batches/mathlib/001817.json
index f476f10c14825a8896608d3d161f2ed9a0fa07fa..1ebe1f845d787f12264481e42eeea7a69521ed08 100644
--- a/manifests/batches/mathlib/001817.json
+++ b/manifests/batches/mathlib/001817.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001817",
   "batch_fingerprint": "1bcab65332753cbf7daa1ecc5ee3524bc03214c4a445ad9e6d19b8c4eed8136b",
   "evidence": {
@@ -1058,15 +1057,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001817-0000-b480e7d9cfff981e.parquet",
-      "sha256": "b480e7d9cfff981eb34e4a05a943bc5ec67880410350d0979fed6275a224379d",
-      "bytes": 73369,
-      "rows": 4,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.hasSum'",
     "mathlib:ContinuousLinearEquiv.map_tsum",
@@ -1076,5 +1067,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Module.lean\",null,null,\"ContinuousLinearEquiv.hasSum'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Module.lean\",null,null,\"ContinuousLinearEquiv.map_tsum\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Module.lean\",null,null,\"ContinuousLinearMap.hasSum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73369,
+      "path": "data/train/p0c/mathlib-001817-0000-b480e7d9cfff981e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b480e7d9cfff981eb34e4a05a943bc5ec67880410350d0979fed6275a224379d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001818.json b/manifests/batches/mathlib/001818.json
index 7d0dde997dc5693988ebdf8140f6f715315fd359..a030eb5db4402da1c3e5568231dc5c464c3a4f51 100644
--- a/manifests/batches/mathlib/001818.json
+++ b/manifests/batches/mathlib/001818.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001818",
   "batch_fingerprint": "924e302e6418a08ace0fe90d7d820be455bd57a1279b6203bf0b8a95458dde8f",
   "evidence": {
@@ -1504,29 +1503,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001818-0000-bd48e4c9a52574e2.parquet",
-      "sha256": "bd48e4c9a52574e219a76c0419522ca7ed1d9a765d447a12e12f5c989206d576",
-      "bytes": 111002,
-      "rows": 29,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001818-0000-bfd6006412a296a3.parquet",
-      "sha256": "bfd6006412a296a39b8d5f9371f7aa8351d983f9027743e3432b3189d6758bde",
-      "bytes": 64415,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001818-0000-f6475d66cab09c94.parquet",
-      "sha256": "f6475d66cab09c945c5a6610baf2700e5a30776a29215b7e1521e0e63cf64f52",
-      "bytes": 64651,
-      "rows": 2,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasProd.of_nat_of_neg",
     "mathlib:HasProd.prod_range_mul",
@@ -1558,5 +1535,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/NatInt.lean\",null,null,\"rel_iSup_tprod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/NatInt.lean\",null,null,\"tprod_eq_zero_mul'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Nonarchimedean.lean\",null,null,\"NonarchimedeanGroup.cauchySeq_prod_of_tendsto_cofinite_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111002,
+      "path": "data/train/pbf/mathlib-001818-0000-bd48e4c9a52574e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "bd48e4c9a52574e219a76c0419522ca7ed1d9a765d447a12e12f5c989206d576"
+    },
+    {
+      "bytes": 64415,
+      "path": "data/dev/pbf/mathlib-001818-0000-bfd6006412a296a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bfd6006412a296a39b8d5f9371f7aa8351d983f9027743e3432b3189d6758bde"
+    },
+    {
+      "bytes": 64651,
+      "path": "data/internal_test/pbf/mathlib-001818-0000-f6475d66cab09c94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f6475d66cab09c945c5a6610baf2700e5a30776a29215b7e1521e0e63cf64f52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001819.json b/manifests/batches/mathlib/001819.json
index 7cd2a4f1b91b7f4fe0507d2bc447e9eca50bcbc2..cb4649c23fd225fd5ec9be32253e41a1df4ddffb 100644
--- a/manifests/batches/mathlib/001819.json
+++ b/manifests/batches/mathlib/001819.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001819",
   "batch_fingerprint": "87e60639ff23c9bdbfdd74666d55bc4718a1bb5000113fa3f6845ad2c9b26f50",
   "evidence": {
@@ -1339,22 +1338,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001819-0000-ed428ad6a3bbe57f.parquet",
-      "sha256": "ed428ad6a3bbe57f04ab9758b6e6f0e52e5c26dc91149a16eae38ef840b85827",
-      "bytes": 98581,
-      "rows": 22,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001819-0000-7962ef0aba844982.parquet",
-      "sha256": "7962ef0aba844982f618045961ebab53c2a6522af584f66df00144025f667a4a",
-      "bytes": 42631,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:dist_le_tsum_dist_of_tendsto\u2080",
     "mathlib:dist_le_tsum_of_dist_le_of_tendsto",
@@ -1382,5 +1366,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Real.lean\",null,null,\"summable_of_sum_range_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Real.lean\",null,null,\"summable_partition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Real.lean\",null,null,\"summable_sigma_of_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98581,
+      "path": "data/train/p0b/mathlib-001819-0000-ed428ad6a3bbe57f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ed428ad6a3bbe57f04ab9758b6e6f0e52e5c26dc91149a16eae38ef840b85827"
+    },
+    {
+      "bytes": 42631,
+      "path": "data/dev/p0b/mathlib-001819-0000-7962ef0aba844982.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7962ef0aba844982f618045961ebab53c2a6522af584f66df00144025f667a4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001820.json b/manifests/batches/mathlib/001820.json
index 674187c84f685f6f0b03c92fb887877e5cf164af..3c3255bfe279d720e07cc1b03b44df8fd74c6740 100644
--- a/manifests/batches/mathlib/001820.json
+++ b/manifests/batches/mathlib/001820.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001820",
   "batch_fingerprint": "2d59abd1add65e64c4c2283f379af559f427648f0c3f8e5dc9d3615c946e94c3",
   "evidence": {
@@ -1503,22 +1502,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001820-0000-e79cf987b305c8d2.parquet",
-      "sha256": "e79cf987b305c8d21d832e639725c42265e397019fc0301dfafa55209161e808",
-      "bytes": 92129,
-      "rows": 18,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001820-0000-5a36d64260c3a18d.parquet",
-      "sha256": "5a36d64260c3a18d2002eb4a6f91fbe1cf23dd228a0b6d7e37609a1b73a0b25d",
-      "bytes": 45474,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAlternatingMap.toAlternatingMap_injective",
     "mathlib:HasSum.div_const",
@@ -1550,5 +1534,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Ring.lean\",null,null,\"tsum_div_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/InfiniteSum/Ring.lean\",null,null,\"tsum_mul_tsum_eq_tsum_sum_antidiagonal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Alternating/Basic.lean\",null,null,\"ContinuousAlternatingMap.toAlternatingMap_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92129,
+      "path": "data/train/pf7/mathlib-001820-0000-e79cf987b305c8d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e79cf987b305c8d21d832e639725c42265e397019fc0301dfafa55209161e808"
+    },
+    {
+      "bytes": 45474,
+      "path": "data/dev/pf7/mathlib-001820-0000-5a36d64260c3a18d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5a36d64260c3a18d2002eb4a6f91fbe1cf23dd228a0b6d7e37609a1b73a0b25d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001821.json b/manifests/batches/mathlib/001821.json
index 20780ed6581c183c07721c6906d0611dfade6b58..f474f9b8eef875d77b9551b0d596bc7569fdd3a9 100644
--- a/manifests/batches/mathlib/001821.json
+++ b/manifests/batches/mathlib/001821.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001821",
   "batch_fingerprint": "b6d823d9b53d52c58e41f65e4d150e4837f7402cc290b9b6f19496a2cbac3656",
   "evidence": {
@@ -5462,29 +5461,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001821-0000-32c52c9d0fbbb738.parquet",
-      "sha256": "32c52c9d0fbbb7389a8fd9a2cdc59368962ba4f7e8b0013a24b23ac9fa3b8537",
-      "bytes": 414738,
-      "rows": 77,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001821-0000-db4a1226d031a0a5.parquet",
-      "sha256": "db4a1226d031a0a5bebe8bd4ef4d4b1f5d7346024ac23aa2d8a7d6060044f6b0",
-      "bytes": 61790,
-      "rows": 5,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001821-0000-6853aa86670d518e.parquet",
-      "sha256": "6853aa86670d518e06d7ac5f0b5806d91f6190c1dd606d3e05c7eea89fc8a203",
-      "bytes": 98507,
-      "rows": 12,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearEquiv.ext\u2081",
     "mathlib:ContinuousLinearEquiv.image_symm_eq_preimage",
@@ -5582,5 +5559,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Cardinality.lean\",null,null,\"Set.Countable.dense_compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Cardinality.lean\",null,null,\"cardinal_eq_of_isOpen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Cardinality.lean\",null,null,\"continuum_le_cardinal_of_isOpen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414738,
+      "path": "data/train/p00/mathlib-001821-0000-32c52c9d0fbbb738.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "32c52c9d0fbbb7389a8fd9a2cdc59368962ba4f7e8b0013a24b23ac9fa3b8537"
+    },
+    {
+      "bytes": 61790,
+      "path": "data/dev/p00/mathlib-001821-0000-db4a1226d031a0a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "db4a1226d031a0a5bebe8bd4ef4d4b1f5d7346024ac23aa2d8a7d6060044f6b0"
+    },
+    {
+      "bytes": 98507,
+      "path": "data/internal_test/p00/mathlib-001821-0000-6853aa86670d518e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6853aa86670d518e06d7ac5f0b5806d91f6190c1dd606d3e05c7eea89fc8a203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001822.json b/manifests/batches/mathlib/001822.json
index 661aa45a7232dfbe15a9aea4a2822d02dae8e8a5..07326f65671b8efdf5c29daefe16ad45e3648e9f 100644
--- a/manifests/batches/mathlib/001822.json
+++ b/manifests/batches/mathlib/001822.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001822",
   "batch_fingerprint": "df8f84c138e8c462655a4dda2b50bc9f71a6ecdef091620b6b43dfde91bd094c",
   "evidence": {
@@ -454,7 +453,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001823.json b/manifests/batches/mathlib/001823.json
index 4203057486d7035bf5d97446d2c3786933bbc62a..e8e12ecb791300fa8378a466020da9830386805f 100644
--- a/manifests/batches/mathlib/001823.json
+++ b/manifests/batches/mathlib/001823.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001823",
   "batch_fingerprint": "315560fbcbc4b15156869c239df3b8c6350a6c06cc0396176fff43c07122c21f",
   "evidence": {
@@ -2071,29 +2070,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001823-0000-e36ec32c07c24e3e.parquet",
-      "sha256": "e36ec32c07c24e3e30c1b84ecb0009d406023d2455e1088e3cb01565e9b68bb6",
-      "bytes": 378298,
-      "rows": 34,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/dev/mathlib-001823-0000-4760ed4a20b2bd98.parquet",
-      "sha256": "4760ed4a20b2bd98f89a2add2e7a0601a5997fd12b46e67df884575117701c93",
-      "bytes": 69999,
-      "rows": 4,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    },
-    {
-      "path": "data/internal_test/mathlib-001823-0000-5e501754f698e665.parquet",
-      "sha256": "5e501754f698e6654aaf967ce576d93ebf46845e416c790e45504b439860daaf",
-      "bytes": 45846,
-      "rows": 1,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero",
     "mathlib:LinearEquiv.toLinearEquiv_toContinuousLinearEquiv",
@@ -2123,5 +2100,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/LinearPMap.lean\",null,null,\"LinearPMap.closure_inverse_graph\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/LinearPMap.lean\",null,null,\"LinearPMap.inverse_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378298,
+      "path": "data/train/pb9/mathlib-001823-0000-e36ec32c07c24e3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e36ec32c07c24e3e30c1b84ecb0009d406023d2455e1088e3cb01565e9b68bb6"
+    },
+    {
+      "bytes": 69999,
+      "path": "data/dev/pb9/mathlib-001823-0000-4760ed4a20b2bd98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4760ed4a20b2bd98f89a2add2e7a0601a5997fd12b46e67df884575117701c93"
+    },
+    {
+      "bytes": 45846,
+      "path": "data/internal_test/pb9/mathlib-001823-0000-5e501754f698e665.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5e501754f698e6654aaf967ce576d93ebf46845e416c790e45504b439860daaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001824.json b/manifests/batches/mathlib/001824.json
index 7c093e12ff9609267db1a84bb7b23cbd43a6f686..eeb74a69dc85af5fb7ef9e688dfc93cff04a5563 100644
--- a/manifests/batches/mathlib/001824.json
+++ b/manifests/batches/mathlib/001824.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001824",
   "batch_fingerprint": "c2a423bdff311d5350a86ef1333b4a587f61c26718e3c7cc9bbe5fe60d812c69",
   "evidence": {
@@ -898,15 +897,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001824-0000-fc235f2bb2794ddd.parquet",
-      "sha256": "fc235f2bb2794ddd9709a05d07ce06ee92a78345d2392ea004ac51045ff9063b",
-      "bytes": 203734,
-      "rows": 33,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousLinearMap.compContinuousMultilinearMap_coe",
     "mathlib:ContinuousMultilinearMap.linearDeriv_apply",
@@ -932,5 +923,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean\",null,null,\"ContinuousMultilinearMap.mkPiRing_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean\",null,null,\"ContinuousMultilinearMap.mkPiRing_eq_zero_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean\",null,null,\"ContinuousMultilinearMap.mkPiRing_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203734,
+      "path": "data/train/p9b/mathlib-001824-0000-fc235f2bb2794ddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "fc235f2bb2794ddd9709a05d07ce06ee92a78345d2392ea004ac51045ff9063b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001825.json b/manifests/batches/mathlib/001825.json
index 7d30e22d96f1a10ad7086ab58d131f3d66c6b4e8..92396537a04c98c353ec526a0cd6ba8e8b30fa7f 100644
--- a/manifests/batches/mathlib/001825.json
+++ b/manifests/batches/mathlib/001825.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001825",
   "batch_fingerprint": "ff8bb68fa064798f648cc25002f44445d37ccf55dd0fd7a41c7f09fee85b3461",
   "evidence": {
@@ -722,19 +721,20 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001825-0000-2b2e9eb43cda2b95.parquet",
-      "sha256": "2b2e9eb43cda2b95bb4d2bea86bb63f9a6fe071582cf06b5b6c48577c17efcf5",
-      "bytes": 57032,
-      "rows": 3,
-      "revision": "4dfe66eaa024623085fd7f1ac1f11c2b53001b76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMultilinearMap.continuous_eval_const"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/Multilinear/Topology.lean\",null,null,\"ContinuousMultilinearMap.continuous_eval_const\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57032,
+      "path": "data/train/p24/mathlib-001825-0000-2b2e9eb43cda2b95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b2e9eb43cda2b95bb4d2bea86bb63f9a6fe071582cf06b5b6c48577c17efcf5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001826.json b/manifests/batches/mathlib/001826.json
index d6c457e27f9c5d8922aeceee26c43a855a219503..f7e080f596cd7a372ebb232e02ac2f9adfba6b56 100644
--- a/manifests/batches/mathlib/001826.json
+++ b/manifests/batches/mathlib/001826.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001826",
   "batch_fingerprint": "f6bcad5a755eb54b281dde42c5aef71eb61926edf1d516ea6fddb27aac5de250",
   "evidence": {
@@ -179,7 +178,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001827.json b/manifests/batches/mathlib/001827.json
index 7a90645c391e93a8ccd791119010f193ca9ac645..371667ed308406dee70ce2ba6537a272d76d2007 100644
--- a/manifests/batches/mathlib/001827.json
+++ b/manifests/batches/mathlib/001827.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001827",
   "batch_fingerprint": "71435c96773e7c0e983c080ed17254113b241686e41ea73f2937a233aaf7a3cf",
   "evidence": {
@@ -553,22 +552,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001827-0000-496bd9412d82efbb.parquet",
-      "sha256": "496bd9412d82efbb81ec48a308cf20057819b93a981298da8fd81578613b61ad",
-      "bytes": 116709,
-      "rows": 17,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001827-0000-1790527ceb86cdc6.parquet",
-      "sha256": "1790527ceb86cdc60b4b90d099134d4d94a4eb407b1f03b4e8d16e776d85df08",
-      "bytes": 79581,
-      "rows": 7,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniformConvergenceCLM.continuousSMul",
     "mathlib:UniformConvergenceCLM.hasBasis_nhds_zero_of_basis",
@@ -588,5 +572,21 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Module/StrongTopology.lean\",null,null,\"UniformConvergenceCLM.uniformSpace_mono\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116709,
+      "path": "data/train/p57/mathlib-001827-0000-496bd9412d82efbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "496bd9412d82efbb81ec48a308cf20057819b93a981298da8fd81578613b61ad"
+    },
+    {
+      "bytes": 79581,
+      "path": "data/dev/p57/mathlib-001827-0000-1790527ceb86cdc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1790527ceb86cdc60b4b90d099134d4d94a4eb407b1f03b4e8d16e776d85df08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001828.json b/manifests/batches/mathlib/001828.json
index e215c9bb4a862a56ba7c3ba41e45565c6696d528..f6f65938c4958e58d7989055c180a5b88a782c7e 100644
--- a/manifests/batches/mathlib/001828.json
+++ b/manifests/batches/mathlib/001828.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001828",
   "batch_fingerprint": "8bedd65b87cd0910a4a9ff636c62a301324c1dfa190b770bc79db7ddd771560d",
   "evidence": {
@@ -1801,22 +1800,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001828-0000-3a98f8f8439eed23.parquet",
-      "sha256": "3a98f8f8439eed239b7cc54cff5ac19337bf32784681be1a215b0024149a1915",
-      "bytes": 181166,
-      "rows": 38,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001828-0000-b8ba3e883a3597e6.parquet",
-      "sha256": "b8ba3e883a3597e62e0ed1ba72547b751fe4b7aec62475e5e3c25168fba9999b",
-      "bytes": 59805,
-      "rows": 5,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.tendsto_cocompact_mul_left",
     "mathlib:Filter.tendsto_cocompact_mul_right",
@@ -1854,5 +1838,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Monoid.lean\",null,null,\"exists_open_nhds_one_mul_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Monoid.lean\",null,null,\"le_nhds_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Monoid.lean\",null,null,\"tendsto_multiset_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181166,
+      "path": "data/train/p15/mathlib-001828-0000-3a98f8f8439eed23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "3a98f8f8439eed239b7cc54cff5ac19337bf32784681be1a215b0024149a1915"
+    },
+    {
+      "bytes": 59805,
+      "path": "data/internal_test/p15/mathlib-001828-0000-b8ba3e883a3597e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b8ba3e883a3597e62e0ed1ba72547b751fe4b7aec62475e5e3c25168fba9999b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001829.json b/manifests/batches/mathlib/001829.json
index c250a7e4b14b9148ccda0b296547d4e826fd6107..d580d28c948fa05de476a278167b4550b3be8a7b 100644
--- a/manifests/batches/mathlib/001829.json
+++ b/manifests/batches/mathlib/001829.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001829",
   "batch_fingerprint": "06387c1c5f566d0eb9de9663536599e8d4bd93e9c52bae7fbb9559ade1aafe75",
   "evidence": {
@@ -216,29 +215,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001829-0000-8f38c66b8730bea7.parquet",
-      "sha256": "8f38c66b8730bea7f5dafa98bd3ffdedc9c8db5a09b35b0fbd5fb4abaf5897ad",
-      "bytes": 63418,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001829-0000-352ca4b70b0b85f1.parquet",
-      "sha256": "352ca4b70b0b85f160b3d6ac3de833fc039b63ec000055736b64287801536047",
-      "bytes": 63814,
-      "rows": 2,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001829-0000-292d991ccf35c15f.parquet",
-      "sha256": "292d991ccf35c15fbdff99d92b5f20db5b512b7b493c50e510f5bc46bf222ce7",
-      "bytes": 27544,
-      "rows": 1,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Inducing.continuousSMul",
     "mathlib:IsCompact.smul_set",
@@ -254,5 +231,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/MulAction.lean\",null,null,\"continuousSMul_inf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/MulAction.lean\",null,null,\"continuousSMul_sInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/MvPolynomial.lean\",null,null,\"MvPolynomial.continuous_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63418,
+      "path": "data/train/p23/mathlib-001829-0000-8f38c66b8730bea7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8f38c66b8730bea7f5dafa98bd3ffdedc9c8db5a09b35b0fbd5fb4abaf5897ad"
+    },
+    {
+      "bytes": 63814,
+      "path": "data/dev/p23/mathlib-001829-0000-352ca4b70b0b85f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "352ca4b70b0b85f160b3d6ac3de833fc039b63ec000055736b64287801536047"
+    },
+    {
+      "bytes": 27544,
+      "path": "data/internal_test/p23/mathlib-001829-0000-292d991ccf35c15f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "292d991ccf35c15fbdff99d92b5f20db5b512b7b493c50e510f5bc46bf222ce7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001830.json b/manifests/batches/mathlib/001830.json
index b437ca2b44b2f4539f72c68b95f2faddb1b08696..81e1d4b0b157ee95fb08c3e1eb6ee28fb327ed32 100644
--- a/manifests/batches/mathlib/001830.json
+++ b/manifests/batches/mathlib/001830.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001830",
   "batch_fingerprint": "0d651a8c7d1dfe055db7d2c2a7741842318d3c58ee06b9cbe8eedb939ce0086c",
   "evidence": {
@@ -1218,15 +1217,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001830-0000-283fc9917071458a.parquet",
-      "sha256": "283fc9917071458ad229a510a67a551c014420dc3840a35b5c5c3db2e3b7ea13",
-      "bytes": 98407,
-      "rows": 24,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Ideal.hasBasis_nhds_adic",
     "mathlib:RingFilterBasis.submodulesBasisIsBasis",
@@ -1242,5 +1233,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean\",null,null,\"RingSubgroupsBasis.of_comm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean\",null,null,\"SubmodulesBasis.nonarchimedean\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean\",null,null,\"SubmodulesRingBasis.toRing_subgroups_basis\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98407,
+      "path": "data/train/p33/mathlib-001830-0000-283fc9917071458a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "283fc9917071458ad229a510a67a551c014420dc3840a35b5c5c3db2e3b7ea13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001831.json b/manifests/batches/mathlib/001831.json
index 957b95450b145fb303e182877715f208bf0789d6..d4c5a533f1feebdb0665c3381f8de63ae1904b55 100644
--- a/manifests/batches/mathlib/001831.json
+++ b/manifests/batches/mathlib/001831.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001831",
   "batch_fingerprint": "4dece1ec82e4b75f7d25075a6bd313262547c23dc31650065dee8c589617723e",
   "evidence": {
@@ -157,15 +156,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001831-0000-6311d590bd6da348.parquet",
-      "sha256": "6311d590bd6da348ae0a8f44fd738f2315f1c7270f997d75d14f939fded6c60c",
-      "bytes": 72411,
-      "rows": 16,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:NonarchimedeanGroup.nonarchimedean_of_emb",
     "mathlib:NonarchimedeanGroup.prod_self_subset",
@@ -181,5 +172,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/NormedValued.lean\",null,null,\"Valued.norm_add_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/NormedValued.lean\",null,null,\"Valued.norm_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/NormedValued.lean\",null,null,\"Valued.norm_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72411,
+      "path": "data/train/p49/mathlib-001831-0000-6311d590bd6da348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6311d590bd6da348ae0a8f44fd738f2315f1c7270f997d75d14f939fded6c60c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001832.json b/manifests/batches/mathlib/001832.json
index c101298dd4be990af835bd2a6d0eede672bb73da..5f1551ddec94ad32292f8dad7d0bdca175027eb4 100644
--- a/manifests/batches/mathlib/001832.json
+++ b/manifests/batches/mathlib/001832.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001832",
   "batch_fingerprint": "764598a79366a709c34e4943f5676f89e1e3f175066c2cc3c63cfc608712f629",
   "evidence": {
@@ -813,22 +812,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001832-0000-68d03f8326100b83.parquet",
-      "sha256": "68d03f8326100b83a57dbc1cefd26f937bb892d388cdb6dcd83f883841c68237",
-      "bytes": 60535,
-      "rows": 7,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001832-0000-c25358f5a5fa806e.parquet",
-      "sha256": "c25358f5a5fa806e2f383d3a1cfcc4ac7e7d7e8ebc1a15da0dae19e711fd524a",
-      "bytes": 41724,
-      "rows": 4,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddSubgroup.dense_of_no_min",
     "mathlib:AddSubgroup.dense_or_cyclic",
@@ -838,5 +822,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/OpenSubgroup.lean\",null,null,\"Subgroup.isOpen_of_mem_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Archimedean.lean\",null,null,\"AddSubgroup.dense_of_no_min\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Archimedean.lean\",null,null,\"AddSubgroup.dense_or_cyclic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60535,
+      "path": "data/train/p54/mathlib-001832-0000-68d03f8326100b83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "68d03f8326100b83a57dbc1cefd26f937bb892d388cdb6dcd83f883841c68237"
+    },
+    {
+      "bytes": 41724,
+      "path": "data/internal_test/p54/mathlib-001832-0000-c25358f5a5fa806e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c25358f5a5fa806e2f383d3a1cfcc4ac7e7d7e8ebc1a15da0dae19e711fd524a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001833.json b/manifests/batches/mathlib/001833.json
index 70e5543302642143e111ada8b64a35cf21c44066..723daf0cb0635fa41d66878c20b7df6411476f6c 100644
--- a/manifests/batches/mathlib/001833.json
+++ b/manifests/batches/mathlib/001833.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001833",
   "batch_fingerprint": "c2073b69694d750f1cc8dac5697e5e493baede87b5eaa01eea06a25c34517ad0",
   "evidence": {
@@ -2156,29 +2155,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001833-0000-6fb0eb22a4ca2624.parquet",
-      "sha256": "6fb0eb22a4ca262438b355cf2c8797269585d671569403bb9f836563fd05a2a7",
-      "bytes": 154179,
-      "rows": 43,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001833-0000-0f1e9ce55989b17b.parquet",
-      "sha256": "0f1e9ce55989b17b20de1cd81549d4f80c9283e3dc2ba2fb4bdc47dede206af3",
-      "bytes": 59454,
-      "rows": 5,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001833-0000-e944040be062d563.parquet",
-      "sha256": "e944040be062d56320cae4e34af0c413aed1779d8e302f0c3fba3931dea40dd7",
-      "bytes": 58864,
-      "rows": 4,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompactIccSpace.mk'",
     "mathlib:CompactIccSpace.mk''",
@@ -2226,5 +2203,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Field.lean\",null,null,\"tendsto_const_mul_pow_nhds_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Field.lean\",null,null,\"tendsto_pow_neg_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Field.lean\",null,null,\"tendsto_zpow_atTop_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154179,
+      "path": "data/train/pa6/mathlib-001833-0000-6fb0eb22a4ca2624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "6fb0eb22a4ca262438b355cf2c8797269585d671569403bb9f836563fd05a2a7"
+    },
+    {
+      "bytes": 59454,
+      "path": "data/dev/pa6/mathlib-001833-0000-0f1e9ce55989b17b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0f1e9ce55989b17b20de1cd81549d4f80c9283e3dc2ba2fb4bdc47dede206af3"
+    },
+    {
+      "bytes": 58864,
+      "path": "data/internal_test/pa6/mathlib-001833-0000-e944040be062d563.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e944040be062d56320cae4e34af0c413aed1779d8e302f0c3fba3931dea40dd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001834.json b/manifests/batches/mathlib/001834.json
index 923d15e4898930115811fcba4bcf26da61da4fed..be180a138854f19a056397b08d718a8d650725a5 100644
--- a/manifests/batches/mathlib/001834.json
+++ b/manifests/batches/mathlib/001834.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001834",
   "batch_fingerprint": "be35c5f88fcfa9e891c652c3afafbee60b3c6ece548a57020690d97f2fd33c1d",
   "evidence": {
@@ -788,22 +787,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001834-0000-57f216c75e87a4a6.parquet",
-      "sha256": "57f216c75e87a4a68f5c96f8a11fca03f437c5871a4fd7e291dcce0cdc789417",
-      "bytes": 69591,
-      "rows": 15,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001834-0000-a1190c1d4246e79a.parquet",
-      "sha256": "a1190c1d4246e79ad6a278f9bf25d70251e79f92809b2049cfd1cadf9643cc03",
-      "bytes": 57283,
-      "rows": 5,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:tendsto_ceil_atBot",
     "mathlib:tendsto_ceil_left_pure",
@@ -829,5 +813,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Floor.lean\",null,null,\"tendsto_floor_right_pure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Floor.lean\",null,null,\"tendsto_fract_left'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Group.lean\",null,null,\"tendsto_zero_iff_abs_tendsto_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69591,
+      "path": "data/train/pb0/mathlib-001834-0000-57f216c75e87a4a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "57f216c75e87a4a68f5c96f8a11fca03f437c5871a4fd7e291dcce0cdc789417"
+    },
+    {
+      "bytes": 57283,
+      "path": "data/dev/pb0/mathlib-001834-0000-a1190c1d4246e79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a1190c1d4246e79ad6a278f9bf25d70251e79f92809b2049cfd1cadf9643cc03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001835.json b/manifests/batches/mathlib/001835.json
index c5a4373bbdb3c0b40421c30ae0bc92832b2226e2..99658cecd969759ea133b15b221f6d4236f50b12 100644
--- a/manifests/batches/mathlib/001835.json
+++ b/manifests/batches/mathlib/001835.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001835",
   "batch_fingerprint": "418de5720c5e763986f64bb70fd7a06ab26e2ebaf994a3515625dbf5a388f414",
   "evidence": {
@@ -2278,15 +2277,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001835-0000-1d2b75f3484984ad.parquet",
-      "sha256": "1d2b75f3484984ad17513a659b3345da318fa190fd0dc710dd112483e704132f",
-      "bytes": 77085,
-      "rows": 7,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:exists_isExtrOn_Ioo_of_tendsto",
     "mathlib:iInf_eq_of_forall_le_of_tendsto",
@@ -2296,5 +2287,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/LiminfLimsup.lean\",null,null,\"iInf_eq_of_forall_le_of_tendsto\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/LiminfLimsup.lean\",null,null,\"limsup_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Order/Rolle.lean\",null,null,\"exists_isExtrOn_Ioo_of_tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77085,
+      "path": "data/train/p20/mathlib-001835-0000-1d2b75f3484984ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1d2b75f3484984ad17513a659b3345da318fa190fd0dc710dd112483e704132f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001836.json b/manifests/batches/mathlib/001836.json
index 4f8f780e9d5f7e3bdefbc74d7c667152bd38c3d6..7678486b54a68f26badad320271a6a66a789760f 100644
--- a/manifests/batches/mathlib/001836.json
+++ b/manifests/batches/mathlib/001836.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001836",
   "batch_fingerprint": "513a39960efe046a183fa2133f6ea95b69136eadde2e032abe0ac8e219275a14",
   "evidence": {
@@ -837,22 +836,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001836-0000-884acc6b83895b92.parquet",
-      "sha256": "884acc6b83895b92b6c9bd8d5736740bfbb4d50d0e0868a0547e0d3c94638e03",
-      "bytes": 59769,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001836-0000-49ae2d1b6964d56b.parquet",
-      "sha256": "49ae2d1b6964d56b3466cf5fad77cf4beb4726cf5895ce6fa3579b77035b9b44",
-      "bytes": 64960,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsUpperSet.interior",
     "mathlib:Polynomial.continuous_eval\u2082",
@@ -866,5 +850,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Polynomial.lean\",null,null,\"Polynomial.continuous_eval\u2082\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Polynomial.lean\",null,null,\"Polynomial.eq_one_of_roots_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Polynomial.lean\",null,null,\"Polynomial.tendsto_abv_atTop\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59769,
+      "path": "data/train/pd6/mathlib-001836-0000-884acc6b83895b92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "884acc6b83895b92b6c9bd8d5736740bfbb4d50d0e0868a0547e0d3c94638e03"
+    },
+    {
+      "bytes": 64960,
+      "path": "data/dev/pd6/mathlib-001836-0000-49ae2d1b6964d56b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49ae2d1b6964d56b3466cf5fad77cf4beb4726cf5895ce6fa3579b77035b9b44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001837.json b/manifests/batches/mathlib/001837.json
index 11fa48a61ce6ade961e87db5d82f44214aab3f1e..093d941eaab4d060ff9626daa4d4e0c9eb7c8a20 100644
--- a/manifests/batches/mathlib/001837.json
+++ b/manifests/batches/mathlib/001837.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001837",
   "batch_fingerprint": "f21a5e73d2cbdaae783de6d45497d35d736c431046bdd2b6033ffbc62d0168d0",
   "evidence": {
@@ -129,7 +128,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001838.json b/manifests/batches/mathlib/001838.json
index 75ca56a4822ce9d52700bd9f734ff01d7ee07644..f676ed788c7d8b872101ea188e2d179cdbfcfb6f 100644
--- a/manifests/batches/mathlib/001838.json
+++ b/manifests/batches/mathlib/001838.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001838",
   "batch_fingerprint": "a57e87f65560884ab86dd1fa568a978608f54473e017143a12d762f4ab1a2739",
   "evidence": {
@@ -348,15 +347,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001838-0000-b68b4241804ed4b1.parquet",
-      "sha256": "b68b4241804ed4b1fd7e07124dd711cd91ea150699ccb719060e12ada22481f3",
-      "bytes": 71578,
-      "rows": 12,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:QuotientRing.isOpenMap_coe",
     "mathlib:QuotientRing.quotientMap_coe_coe",
@@ -370,5 +361,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Ring/Basic.lean\",null,null,\"TopologicalSemiring.continuousNeg_of_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Ring/Ideal.lean\",null,null,\"QuotientRing.isOpenMap_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Ring/Ideal.lean\",null,null,\"QuotientRing.quotientMap_coe_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71578,
+      "path": "data/train/p86/mathlib-001838-0000-b68b4241804ed4b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b68b4241804ed4b1fd7e07124dd711cd91ea150699ccb719060e12ada22481f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001839.json b/manifests/batches/mathlib/001839.json
index b90d598f64b8c63b16d287318e54f51050d29f96..c4b2e3d42d21080a259d4c0dd8c7a339e61a192a 100644
--- a/manifests/batches/mathlib/001839.json
+++ b/manifests/batches/mathlib/001839.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001839",
   "batch_fingerprint": "9ecfd6822b0ffb010a2d0bd7186bb80852fbdfaeb9d9a032cc0465f976db1fd8",
   "evidence": {
@@ -559,7 +558,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001840.json b/manifests/batches/mathlib/001840.json
index 728b56e23aa2bca99f0ef83ad8fa723c89634f39..52dfc951be9fbd24fd54071b9121b460eca375e0 100644
--- a/manifests/batches/mathlib/001840.json
+++ b/manifests/batches/mathlib/001840.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001840",
   "batch_fingerprint": "295b1aae92228e164630cabb9c9c2e7bf5fd9417b350111723ddc77819d5b7fd",
   "evidence": {
@@ -1295,15 +1294,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001840-0000-ee63242876651a3d.parquet",
-      "sha256": "ee63242876651a3da8d1ba7393fbce44526e9cea0d4a2730353e0d87f1968646",
-      "bytes": 77449,
-      "rows": 8,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniformFun.hasBasis_nhds_one_of_basis",
     "mathlib:UniformOnFun.hasBasis_nhds_one_of_basis"
@@ -1311,5 +1302,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/UniformConvergence.lean\",null,null,\"UniformFun.hasBasis_nhds_one_of_basis\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/UniformConvergence.lean\",null,null,\"UniformOnFun.hasBasis_nhds_one_of_basis\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77449,
+      "path": "data/train/pb4/mathlib-001840-0000-ee63242876651a3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ee63242876651a3da8d1ba7393fbce44526e9cea0d4a2730353e0d87f1968646"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001841.json b/manifests/batches/mathlib/001841.json
index 6a84e3f9b33829ee09785a8bb88bd47241086a18..271126037e328bae4351eac595f1d1863df59d48 100644
--- a/manifests/batches/mathlib/001841.json
+++ b/manifests/batches/mathlib/001841.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001841",
   "batch_fingerprint": "0ac9446c995d5e4ff92dc87afe8ae2d2decae804ac512be413917e1848ba213d",
   "evidence": {
@@ -695,7 +694,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001842.json b/manifests/batches/mathlib/001842.json
index 830f9f0495a4b0def2d5a9bc27f77a718c94ef57..f7b6134b303e824b65e8523e9032a720db714ce2 100644
--- a/manifests/batches/mathlib/001842.json
+++ b/manifests/batches/mathlib/001842.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001842",
   "batch_fingerprint": "da62eae31f1679287d0c045c4473c1eddd5784aca5d97cc324b4f55114d27e9d",
   "evidence": {
@@ -2022,29 +2021,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001842-0000-fff3142124936308.parquet",
-      "sha256": "fff314212493630805fcae1f1a4fc297a9366d16298ed5bfb2a337f03cce3d26",
-      "bytes": 106273,
-      "rows": 32,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001842-0000-3b23fb74484b6f74.parquet",
-      "sha256": "3b23fb74484b6f743446a958c32f84f3f4567fd082e3be78bf192069d0adc8e3",
-      "bytes": 57904,
-      "rows": 7,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001842-0000-920a6c3316957460.parquet",
-      "sha256": "920a6c33169574602ac6fdc11db45ba2904003329734a0aecbe9c018174dc1dd",
-      "bytes": 55819,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.HasBasis.uniformity_of_nhds_one",
     "mathlib:Filter.HasBasis.uniformity_of_nhds_one_inv_mul",
@@ -2096,5 +2073,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/UniformGroup.lean\",null,null,\"uniformity_eq_comap_inv_mul_nhds_one_swapped\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/UniformGroup.lean\",null,null,\"uniformity_eq_comap_nhds_one_swapped\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/UniformMulAction.lean\",null,null,\"UniformInducing.uniformContinuousConstSMul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106273,
+      "path": "data/train/p3b/mathlib-001842-0000-fff3142124936308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "fff314212493630805fcae1f1a4fc297a9366d16298ed5bfb2a337f03cce3d26"
+    },
+    {
+      "bytes": 57904,
+      "path": "data/dev/p3b/mathlib-001842-0000-3b23fb74484b6f74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3b23fb74484b6f743446a958c32f84f3f4567fd082e3be78bf192069d0adc8e3"
+    },
+    {
+      "bytes": 55819,
+      "path": "data/internal_test/p3b/mathlib-001842-0000-920a6c3316957460.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "920a6c33169574602ac6fdc11db45ba2904003329734a0aecbe9c018174dc1dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001843.json b/manifests/batches/mathlib/001843.json
index bccfb6e9963879712c197a804b116c187629e54b..2c3ee1d715209ed4ca1f31e3838f7c93a3e2b0a8 100644
--- a/manifests/batches/mathlib/001843.json
+++ b/manifests/batches/mathlib/001843.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001843",
   "batch_fingerprint": "bec3eb52d7bea8db2f4312d05184f02c79b7ea2972e73368100c89b9031c1508",
   "evidence": {
@@ -792,22 +791,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001843-0000-544a1213c4568fc0.parquet",
-      "sha256": "544a1213c4568fc0a6914d828c0054eceb81885cd4ed2858862dce1d85f37ca5",
-      "bytes": 65155,
-      "rows": 13,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001843-0000-3ff22db70dc5b676.parquet",
-      "sha256": "3ff22db70dc5b676457176f5df737a5a5829ab0f391739012b0d00b215cf2092",
-      "bytes": 36675,
-      "rows": 1,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Valued.hasBasis_nhds_zero",
     "mathlib:Valued.hasBasis_uniformity",
@@ -823,5 +807,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Valuation.lean\",null,null,\"Valued.loc_const\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Valuation.lean\",null,null,\"Valued.mem_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/Valuation.lean\",null,null,\"Valued.mem_nhds_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65155,
+      "path": "data/train/p10/mathlib-001843-0000-544a1213c4568fc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "544a1213c4568fc0a6914d828c0054eceb81885cd4ed2858862dce1d85f37ca5"
+    },
+    {
+      "bytes": 36675,
+      "path": "data/internal_test/p10/mathlib-001843-0000-3ff22db70dc5b676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3ff22db70dc5b676457176f5df737a5a5829ab0f391739012b0d00b215cf2092"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001844.json b/manifests/batches/mathlib/001844.json
index bb591bf2665475cf3eb63b9c5a8926b6b65fcd76..0b842dcdba522fa0322bbcc609de4968bbbb32ee 100644
--- a/manifests/batches/mathlib/001844.json
+++ b/manifests/batches/mathlib/001844.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001844",
   "batch_fingerprint": "4f7dad5aa362ee7ee879ca1b28ca754d67e8d73a02cc44b19b3ff2d3b04e819c",
   "evidence": {
@@ -1317,15 +1316,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001844-0000-76bd00f338b50661.parquet",
-      "sha256": "76bd00f338b50661e20f2f43a3826de78cb005ca91fe874db269fc7ac6fced06",
-      "bytes": 62585,
-      "rows": 17,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Valued.extension_extends",
     "mathlib:WithZeroTopology.Iio_mem_nhds",
@@ -1351,5 +1342,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/WithZeroTopology.lean\",null,null,\"WithZeroTopology.singleton_mem_nhds_of_units\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/WithZeroTopology.lean\",null,null,\"WithZeroTopology.tendsto_of_ne_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Algebra/WithZeroTopology.lean\",null,null,\"WithZeroTopology.tendsto_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62585,
+      "path": "data/train/pf3/mathlib-001844-0000-76bd00f338b50661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "76bd00f338b50661e20f2f43a3826de78cb005ca91fe874db269fc7ac6fced06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001845.json b/manifests/batches/mathlib/001845.json
index 775cfe4703dbf1e355f642608dbabe8cb4371df9..6d3c17efa0d32a4cdc86c5a80b8a2989a4f7e91a 100644
--- a/manifests/batches/mathlib/001845.json
+++ b/manifests/batches/mathlib/001845.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001845",
   "batch_fingerprint": "0d4b9726ae316995f4753a8207c85dd695550a7f1587ceb57f7c6df4f7967a01",
   "evidence": {
@@ -2617,29 +2616,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001845-0000-720111f549081965.parquet",
-      "sha256": "720111f549081965f0278386197bb343fe60aac643eaebc9248b95c353777f69",
-      "bytes": 299741,
-      "rows": 89,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001845-0000-115714fd30cb35b9.parquet",
-      "sha256": "115714fd30cb35b9ddec6594ffa0947db95ad3de39f81cce41db3f8b97340e48",
-      "bytes": 43878,
-      "rows": 1,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001845-0000-d3641d3ac42ac19d.parquet",
-      "sha256": "d3641d3ac42ac19d2ac9072997852a2dff1411180017da420902e82258432a25",
-      "bytes": 55982,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Dense.exists_countable_dense_subset_bot_top",
     "mathlib:Dense.inter_of_G\u03b4",
@@ -2731,5 +2708,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bases.lean\",null,null,\"TopologicalSpace.separableSpace_iff_countable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bases.lean\",null,null,\"exists_countable_dense_bot_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bases.lean\",null,null,\"isTopologicalBasis_pi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299741,
+      "path": "data/train/p02/mathlib-001845-0000-720111f549081965.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "720111f549081965f0278386197bb343fe60aac643eaebc9248b95c353777f69"
+    },
+    {
+      "bytes": 43878,
+      "path": "data/dev/p02/mathlib-001845-0000-115714fd30cb35b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "115714fd30cb35b9ddec6594ffa0947db95ad3de39f81cce41db3f8b97340e48"
+    },
+    {
+      "bytes": 55982,
+      "path": "data/internal_test/p02/mathlib-001845-0000-d3641d3ac42ac19d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d3641d3ac42ac19d2ac9072997852a2dff1411180017da420902e82258432a25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001846.json b/manifests/batches/mathlib/001846.json
index 061274008b8e2fa5de169a1dbcbb59c29bd21a8c..9965215aa5e1e25820c2ea4f248c9745ceaa896f 100644
--- a/manifests/batches/mathlib/001846.json
+++ b/manifests/batches/mathlib/001846.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001846",
   "batch_fingerprint": "0961bab4ac0dd43f9c937249343ac3298de47991701f738fe242ea297ff5c34b",
   "evidence": {
@@ -5182,29 +5181,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001846-0000-2fc4cdf2bbb04316.parquet",
-      "sha256": "2fc4cdf2bbb04316c53ed62d5e227620b1fd73e9bc67b44198efdb08187df242",
-      "bytes": 447495,
-      "rows": 148,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001846-0000-c8a04c0efd17bfce.parquet",
-      "sha256": "c8a04c0efd17bfce37114888db967ed6e42f96a086c0e9bae4b700193d1d8570",
-      "bytes": 58849,
-      "rows": 9,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001846-0000-835d872967cec73c.parquet",
-      "sha256": "835d872967cec73c5f926d2d595e6d95232fa8cec2af9e993d8f84721209a021",
-      "bytes": 80004,
-      "rows": 20,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Absorbent.absorbs_finite",
     "mathlib:Absorbent.vadd_absorbs",
@@ -5472,5 +5449,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Absorbs.lean\",null,null,\"absorbs_neg_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Absorbs.lean\",null,null,\"absorbs_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Absorbs.lean\",null,null,\"absorbs_zero_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 447495,
+      "path": "data/train/pef/mathlib-001846-0000-2fc4cdf2bbb04316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 148,
+      "sha256": "2fc4cdf2bbb04316c53ed62d5e227620b1fd73e9bc67b44198efdb08187df242"
+    },
+    {
+      "bytes": 58849,
+      "path": "data/dev/pef/mathlib-001846-0000-c8a04c0efd17bfce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c8a04c0efd17bfce37114888db967ed6e42f96a086c0e9bae4b700193d1d8570"
+    },
+    {
+      "bytes": 80004,
+      "path": "data/internal_test/pef/mathlib-001846-0000-835d872967cec73c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "835d872967cec73c5f926d2d595e6d95232fa8cec2af9e993d8f84721209a021"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001847.json b/manifests/batches/mathlib/001847.json
index 8f26987dae3948f8dba373a5a19939fe32ce21d3..aa90312707f7d2402f2f0d691ed9a8c57373062d 100644
--- a/manifests/batches/mathlib/001847.json
+++ b/manifests/batches/mathlib/001847.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001847",
   "batch_fingerprint": "c2b3675ace8a6a768a12aca1a067deab370bb39585b0f71bdce7cbd3823c13c9",
   "evidence": {
@@ -1059,29 +1058,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001847-0000-bcf534e7eea7ac5a.parquet",
-      "sha256": "bcf534e7eea7ac5ab30b9a325f77414aa96093a7c72e476775647d0c573ce4e9",
-      "bytes": 94381,
-      "rows": 30,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001847-0000-e6dbba13c4bea002.parquet",
-      "sha256": "e6dbba13c4bea002c5b999f480a44b7f4e1279591fd43ecdfd0eb2a12f70532a",
-      "bytes": 44968,
-      "rows": 1,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001847-0000-ae70e2d7b98516fc.parquet",
-      "sha256": "ae70e2d7b98516fc3b8f041a12288e87a774c49e13ffd46c122f1562b47e4ed9",
-      "bytes": 41763,
-      "rows": 6,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bornology.cobounded_eq_bot_iff",
     "mathlib:Bornology.comap_cobounded_le_iff",
@@ -1119,5 +1096,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/BoundedOperation.lean\",null,null,\"add_bounded_of_bounded_of_bounded\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/BoundedOperation.lean\",null,null,\"mul_bounded_of_bounded_of_bounded\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/BoundedOperation.lean\",null,null,\"sub_bounded_of_bounded_of_bounded\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94381,
+      "path": "data/train/p12/mathlib-001847-0000-bcf534e7eea7ac5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "bcf534e7eea7ac5ab30b9a325f77414aa96093a7c72e476775647d0c573ce4e9"
+    },
+    {
+      "bytes": 44968,
+      "path": "data/dev/p12/mathlib-001847-0000-e6dbba13c4bea002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e6dbba13c4bea002c5b999f480a44b7f4e1279591fd43ecdfd0eb2a12f70532a"
+    },
+    {
+      "bytes": 41763,
+      "path": "data/internal_test/p12/mathlib-001847-0000-ae70e2d7b98516fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ae70e2d7b98516fc3b8f041a12288e87a774c49e13ffd46c122f1562b47e4ed9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001848.json b/manifests/batches/mathlib/001848.json
index 12bb7aff783c38d788ad46bda572847d0fc983f2..192f3b5100650ea5bd0d0d626a3cf3eee15ad3d6 100644
--- a/manifests/batches/mathlib/001848.json
+++ b/manifests/batches/mathlib/001848.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001848",
   "batch_fingerprint": "8c3c113c4257ae5a383b8edc44164e53c14789c90599a37e9590b4e7348950fe",
   "evidence": {
@@ -825,15 +824,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001848-0000-4ddde4e99d32f038.parquet",
-      "sha256": "4ddde4e99d32f03864ac6cba3c21d0b5324e6553aca205e2ebb579743ffec9fa",
-      "bytes": 48469,
-      "rows": 3,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LocallyBoundedMap.cancel_left",
     "mathlib:boundedSpace_induced_iff",
@@ -843,5 +834,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Constructions.lean\",null,null,\"boundedSpace_induced_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Constructions.lean\",null,null,\"boundedSpace_subtype_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Bornology/Hom.lean\",null,null,\"LocallyBoundedMap.cancel_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48469,
+      "path": "data/train/pd4/mathlib-001848-0000-4ddde4e99d32f038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4ddde4e99d32f03864ac6cba3c21d0b5324e6553aca205e2ebb579743ffec9fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001849.json b/manifests/batches/mathlib/001849.json
index c789e83a658b4ec1d176ec52b3751925616315f9..73f649ec1be86940ea6f2637ce30570c34ae9fa8 100644
--- a/manifests/batches/mathlib/001849.json
+++ b/manifests/batches/mathlib/001849.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001849",
   "batch_fingerprint": "d135d77bd5998d9e8c10d3865646b6ee152277416506cb2ba289757354e05fcd",
   "evidence": {
@@ -1113,7 +1112,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001850.json b/manifests/batches/mathlib/001850.json
index 058b107b4c3591753b05a39c59f1d3a8e036415c..0bf01ae04bc778895a4be0714c41cf6a4f80539c 100644
--- a/manifests/batches/mathlib/001850.json
+++ b/manifests/batches/mathlib/001850.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001850",
   "batch_fingerprint": "e7f77829b87da995249f531440056d554b88bcb49b34edde79c85e7c0e7d6aba",
   "evidence": {
@@ -511,29 +510,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001850-0000-0d6c73ae67aeb8f2.parquet",
-      "sha256": "0d6c73ae67aeb8f2f0f5825302db25fdea8012a45bf0edf18f79f80a5eab9613",
-      "bytes": 75905,
-      "rows": 14,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001850-0000-980f9ce5d55629e6.parquet",
-      "sha256": "980f9ce5d55629e66d9d4ace8e227b1c1f2aaf5105e0a9b4113544dbc55c342e",
-      "bytes": 38620,
-      "rows": 2,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001850-0000-cc6b17f891e3a650.parquet",
-      "sha256": "cc6b17f891e3a650248a89e77c6a5c9fb9633f9fe5ae555519702db61db50762",
-      "bytes": 44933,
-      "rows": 2,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompHaus.Sigma.\u03b9_comp_toFiniteCoproduct",
     "mathlib:CompHaus.finiteCoproduct.hom_ext",
@@ -553,5 +530,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/CompHaus/Limits.lean\",null,null,\"CompHaus.pullback_fst_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/CompHaus/Limits.lean\",null,null,\"CompHaus.pullback_snd_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/CompHausLike/Basic.lean\",null,null,\"CompHausLike.epi_of_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75905,
+      "path": "data/train/p68/mathlib-001850-0000-0d6c73ae67aeb8f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0d6c73ae67aeb8f2f0f5825302db25fdea8012a45bf0edf18f79f80a5eab9613"
+    },
+    {
+      "bytes": 38620,
+      "path": "data/dev/p68/mathlib-001850-0000-980f9ce5d55629e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "980f9ce5d55629e66d9d4ace8e227b1c1f2aaf5105e0a9b4113544dbc55c342e"
+    },
+    {
+      "bytes": 44933,
+      "path": "data/internal_test/p68/mathlib-001850-0000-cc6b17f891e3a650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cc6b17f891e3a650248a89e77c6a5c9fb9633f9fe5ae555519702db61db50762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001851.json b/manifests/batches/mathlib/001851.json
index 735173fc9f976641cb00df66931f12f789df6b7c..f929e2c36099bb81c7315fa51f4f342a43beedfe 100644
--- a/manifests/batches/mathlib/001851.json
+++ b/manifests/batches/mathlib/001851.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001851",
   "batch_fingerprint": "2a6b586504731c0a89ad2fe52a666fa700b9ccc15247e788ccea5726b95587cd",
   "evidence": {
@@ -1330,22 +1329,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001851-0000-1b3f0a369f33fd32.parquet",
-      "sha256": "1b3f0a369f33fd326ed6e0ad67e510cb4792261c0dfc07761a6652d4bd74992a",
-      "bytes": 54953,
-      "rows": 17,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/internal_test/mathlib-001851-0000-7e7ee2926c29d80a.parquet",
-      "sha256": "7e7ee2926c29d80a70d1e56656aeab691b01794fc588c6478b97c182a830fa90",
-      "bytes": 39161,
-      "rows": 5,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Compactum.continuous_of_hom",
     "mathlib:Compactum.isClosed_cl",
@@ -1365,5 +1349,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Compactum.lean\",null,null,\"Compactum.str_hom_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Compactum.lean\",null,null,\"Compactum.str_incl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Compactum.lean\",null,null,\"Compactum.subset_cl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54953,
+      "path": "data/train/pa6/mathlib-001851-0000-1b3f0a369f33fd32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1b3f0a369f33fd326ed6e0ad67e510cb4792261c0dfc07761a6652d4bd74992a"
+    },
+    {
+      "bytes": 39161,
+      "path": "data/internal_test/pa6/mathlib-001851-0000-7e7ee2926c29d80a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7e7ee2926c29d80a70d1e56656aeab691b01794fc588c6478b97c182a830fa90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001852.json b/manifests/batches/mathlib/001852.json
index d8d538b6cbb0257dea56b1242f97d13217bf2382..228671fce7ba2fb36ccebe042addf07d143fc7ff 100644
--- a/manifests/batches/mathlib/001852.json
+++ b/manifests/batches/mathlib/001852.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001852",
   "batch_fingerprint": "dbc9889cdd0bdb0411b7ac8a8523dd9f1b206ad219ea6d4ff379095080658a37",
   "evidence": {
@@ -561,19 +560,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001852-0000-9d6e50a6ca644030.parquet",
-      "sha256": "9d6e50a6ca644030c15f73095d75213f35b0acd5137989f7714e36c2778370a2",
-      "bytes": 38049,
-      "rows": 3,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LightProfinite.effectiveEpi_iff_surjective"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/LightProfinite/EffectiveEpi.lean\",null,null,\"LightProfinite.effectiveEpi_iff_surjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38049,
+      "path": "data/train/pb1/mathlib-001852-0000-9d6e50a6ca644030.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9d6e50a6ca644030c15f73095d75213f35b0acd5137989f7714e36c2778370a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001853.json b/manifests/batches/mathlib/001853.json
index b3efc6a2dba9c228bc4337f624a2b41c5bfb2fbd..e20e208410a7137429b44328a8cb6810db1572df 100644
--- a/manifests/batches/mathlib/001853.json
+++ b/manifests/batches/mathlib/001853.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001853",
   "batch_fingerprint": "583ad94f540afa719818cd553ac0c49a87dbde6af38051c16ee6c76350b0d44d",
   "evidence": {
@@ -233,22 +232,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001853-0000-bd4d25316c057dd7.parquet",
-      "sha256": "bd4d25316c057dd7a3ff40a9a3e8c0a61f81d40197008974c6c6037c789a5207",
-      "bytes": 68934,
-      "rows": 10,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    },
-    {
-      "path": "data/dev/mathlib-001853-0000-0ea8878dbfe4b370.parquet",
-      "sha256": "0ea8878dbfe4b37091aeeb38a88b358e0abbee94ef921c1d59bb682c0488697a",
-      "bytes": 45637,
-      "rows": 2,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:LightProfinite.Sigma.\u03b9_comp_toFiniteCoproduct",
     "mathlib:LightProfinite.finiteCoproduct.\u03b9_desc_apply",
@@ -264,5 +248,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/LightProfinite/Limits.lean\",null,null,\"LightProfinite.pullback.condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/LightProfinite/Limits.lean\",null,null,\"LightProfinite.pullback_fst_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/LightProfinite/Limits.lean\",null,null,\"LightProfinite.pullback_snd_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68934,
+      "path": "data/train/p70/mathlib-001853-0000-bd4d25316c057dd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bd4d25316c057dd7a3ff40a9a3e8c0a61f81d40197008974c6c6037c789a5207"
+    },
+    {
+      "bytes": 45637,
+      "path": "data/dev/p70/mathlib-001853-0000-0ea8878dbfe4b370.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ea8878dbfe4b37091aeeb38a88b358e0abbee94ef921c1d59bb682c0488697a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001854.json b/manifests/batches/mathlib/001854.json
index 3034e3e391b92367dd989d789c49378f270d002c..db7a421ddb68381462422c59785beb07fb6cb454 100644
--- a/manifests/batches/mathlib/001854.json
+++ b/manifests/batches/mathlib/001854.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001854",
   "batch_fingerprint": "e4e19a75d270560cbfe4739bcfa5ad3a7e1ce81c49ea5b1da6564476112b2bfa",
   "evidence": {
@@ -1904,7 +1903,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001855.json b/manifests/batches/mathlib/001855.json
index 9f2e8998408dfbb595230856205ac0d8ada35aea..f37e934303b390d5e95af776707b73e1af8d1be3 100644
--- a/manifests/batches/mathlib/001855.json
+++ b/manifests/batches/mathlib/001855.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001855",
   "batch_fingerprint": "852fb1e99b52166c587ca0df042a02e3325f08ed9e715ca7ee336470d815484b",
   "evidence": {
@@ -463,15 +462,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001855-0000-c39bb5568707f61f.parquet",
-      "sha256": "c39bb5568707f61ffd58fbf60a8f2b29c3f9699d8f0e7c581bf2b3b3a1678e18",
-      "bytes": 66992,
-      "rows": 10,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Profinite.Sigma.\u03b9_comp_toFiniteCoproduct",
     "mathlib:Profinite.finiteCoproduct.\u03b9_desc_apply",
@@ -485,5 +476,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Profinite/Limits.lean\",null,null,\"Profinite.pullback.condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Profinite/Limits.lean\",null,null,\"Profinite.pullback_fst_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Profinite/Limits.lean\",null,null,\"Profinite.pullback_snd_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66992,
+      "path": "data/train/pc7/mathlib-001855-0000-c39bb5568707f61f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c39bb5568707f61ffd58fbf60a8f2b29c3f9699d8f0e7c581bf2b3b3a1678e18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001856.json b/manifests/batches/mathlib/001856.json
index b78823f7b761223418e80947d15921f4e6a691c8..f6f85671985a5d5186f572d8df34f622dc77ebd6 100644
--- a/manifests/batches/mathlib/001856.json
+++ b/manifests/batches/mathlib/001856.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001856",
   "batch_fingerprint": "ad77361d2756812ac59d43046d2e9249bd05d3d136ef88c68141fab5ff4db905",
   "evidence": {
@@ -7765,15 +7764,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001856-0000-a4637529e834483b.parquet",
-      "sha256": "a4637529e834483b80c487edc7bed846459aad202e554790a32b348cd4ebc6e9",
-      "bytes": 63484,
-      "rows": 8,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Profinite.IndexFunctor.eq_of_forall_\u03c0_app_eq",
     "mathlib:Profinite.IndexFunctor.surjective_\u03c0_app"
@@ -7781,5 +7772,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Profinite/Product.lean\",null,null,\"Profinite.IndexFunctor.eq_of_forall_\u03c0_app_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Profinite/Product.lean\",null,null,\"Profinite.IndexFunctor.surjective_\u03c0_app\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63484,
+      "path": "data/train/pd6/mathlib-001856-0000-a4637529e834483b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a4637529e834483b80c487edc7bed846459aad202e554790a32b348cd4ebc6e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001857.json b/manifests/batches/mathlib/001857.json
index 3e1a9f5dcc20c587a97facfa3c13e302fecdcb9b..8a8b78236d2b3ee3d72078f79d6010dbf06f43fc 100644
--- a/manifests/batches/mathlib/001857.json
+++ b/manifests/batches/mathlib/001857.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001857",
   "batch_fingerprint": "c2932aac112814470bc9a0ceb3083147f01cac14c581bbb531f6f513dd09e990",
   "evidence": {
@@ -378,15 +377,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001857-0000-d569c669892ddd05.parquet",
-      "sha256": "d569c669892ddd05ca8ca4d5ee7fc5d60158140feca1fb5e01539c35c92210f9",
-      "bytes": 35817,
-      "rows": 3,
-      "revision": "b6c03dbfa59db0912d87ffaf564c4c58e55a366d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompHaus.lift_lifts",
     "mathlib:Profinite.projective_of_extrDisc"
@@ -394,5 +385,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Stonean/Basic.lean\",null,null,\"CompHaus.lift_lifts\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Stonean/Basic.lean\",null,null,\"Profinite.projective_of_extrDisc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 35817,
+      "path": "data/train/p5e/mathlib-001857-0000-d569c669892ddd05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d569c669892ddd05ca8ca4d5ee7fc5d60158140feca1fb5e01539c35c92210f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001858.json b/manifests/batches/mathlib/001858.json
index 4233545373db0c7f0c0485347df63fbe30fc284c..771232334c46989acd4ee8201c155c0aff586e6a 100644
--- a/manifests/batches/mathlib/001858.json
+++ b/manifests/batches/mathlib/001858.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001858",
   "batch_fingerprint": "84860b62106485c566d77eba4b4be31e54e47883fc36547a840cc04c4c012bf5",
   "evidence": {
@@ -431,22 +430,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001858-0000-250b24fd21d64c1d.parquet",
-      "sha256": "250b24fd21d64c1d02c83ddee99f93d2451c0676e83e4544a76b557b9576b8d7",
-      "bytes": 84385,
-      "rows": 14,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001858-0000-3b715d06bd82974d.parquet",
-      "sha256": "3b715d06bd82974dcc8f8cd00763deb84e3efe4b63fe2b96323d867d1af627db",
-      "bytes": 63744,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Stonean.Sigma.openEmbedding_\u03b9",
     "mathlib:Stonean.finiteCoproduct.hom_ext",
@@ -458,5 +442,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Stonean/Limits.lean\",null,null,\"Stonean.finiteCoproduct.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Stonean/Limits.lean\",null,null,\"Stonean.pullback.condition\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/Stonean/Limits.lean\",null,null,\"Stonean.pullback.hom_ext\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84385,
+      "path": "data/train/pb9/mathlib-001858-0000-250b24fd21d64c1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "250b24fd21d64c1d02c83ddee99f93d2451c0676e83e4544a76b557b9576b8d7"
+    },
+    {
+      "bytes": 63744,
+      "path": "data/internal_test/pb9/mathlib-001858-0000-3b715d06bd82974d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3b715d06bd82974dcc8f8cd00763deb84e3efe4b63fe2b96323d867d1af627db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001859.json b/manifests/batches/mathlib/001859.json
index 1bd58c1ee92e3ab0ab395417c00cf0b05d989d05..f5b22af28a4c53463f29eace587cc74ed983a12b 100644
--- a/manifests/batches/mathlib/001859.json
+++ b/manifests/batches/mathlib/001859.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001859",
   "batch_fingerprint": "2b50c5d6e01c7f62d31d22fe322c63a47b279abbcbfadf1f26724e7dc7195fff",
   "evidence": {
@@ -469,22 +468,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001859-0000-a2bbdeef7f4e4068.parquet",
-      "sha256": "a2bbdeef7f4e4068e74cceba632745df7b875285d4d458af9f545aec6696e29d",
-      "bytes": 57232,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001859-0000-a0efbf3aa8a12f35.parquet",
-      "sha256": "a0efbf3aa8a12f358fcedc2967f8975f044a67c5b93fb44fbe54e9b2fe7ae50f",
-      "bytes": 41538,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopCat.of_homeoOfIso",
     "mathlib:TopCat.of_isoOfHomeo",
@@ -496,5 +480,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Basic.lean\",null,null,\"TopCat.of_isoOfHomeo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Basic.lean\",null,null,\"TopCat.openEmbedding_iff_comp_isIso'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Basic.lean\",null,null,\"TopCat.openEmbedding_iff_isIso_comp'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57232,
+      "path": "data/train/p4a/mathlib-001859-0000-a2bbdeef7f4e4068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a2bbdeef7f4e4068e74cceba632745df7b875285d4d458af9f545aec6696e29d"
+    },
+    {
+      "bytes": 41538,
+      "path": "data/internal_test/p4a/mathlib-001859-0000-a0efbf3aa8a12f35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a0efbf3aa8a12f358fcedc2967f8975f044a67c5b93fb44fbe54e9b2fe7ae50f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001860.json b/manifests/batches/mathlib/001860.json
index 8fe22c15569dd2d7ee6d279ec26ef136a054ed9e..932fe297e3f83c4865bbceea6b94faf41e15270c 100644
--- a/manifests/batches/mathlib/001860.json
+++ b/manifests/batches/mathlib/001860.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001860",
   "batch_fingerprint": "218af1c3fee41fe43372e13944973d67273fc0603fdecc6f6e4b248890ac728c",
   "evidence": {
@@ -727,7 +726,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001861.json b/manifests/batches/mathlib/001861.json
index 5f3422f4773a9f7b7d6e2829e5bdd4bbfa04029a..f93298db1d6cd6ca6224e2556ff8e78837da65e0 100644
--- a/manifests/batches/mathlib/001861.json
+++ b/manifests/batches/mathlib/001861.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001861",
   "batch_fingerprint": "978551727e6c05e827bef8478dfa5377bbe9c957c5bafcb9629399c6dca42035",
   "evidence": {
@@ -1926,7 +1925,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001862.json b/manifests/batches/mathlib/001862.json
index 0a391bb6b659944fa568db9a709210bd165de534..f2519a737a7a27548131d5ccf0498b22b3e8e033 100644
--- a/manifests/batches/mathlib/001862.json
+++ b/manifests/batches/mathlib/001862.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001862",
   "batch_fingerprint": "95c7c150025fe011899e3658beffa50a783553438d20b045dcbbf4d83cfa8a15",
   "evidence": {
@@ -1787,22 +1786,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001862-0000-934e96cf0fabed2f.parquet",
-      "sha256": "934e96cf0fabed2f3be3e9c9481c4aa169267fb527e332731367207aafa5e61b",
-      "bytes": 124742,
-      "rows": 24,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001862-0000-d8e10b40bf47c490.parquet",
-      "sha256": "d8e10b40bf47c490b6d154f32a3db9dfac7cd9537167e2a9667e408bb69e880a",
-      "bytes": 37551,
-      "rows": 1,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopCat.coinduced_of_isColimit",
     "mathlib:TopCat.colimit_isOpen_iff",
@@ -1830,5 +1814,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean\",null,null,\"TopCat.pullback_topology\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/OpenNhds.lean\",null,null,\"TopologicalSpace.OpenNhds.map_id_obj_unop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/OpenNhds.lean\",null,null,\"TopologicalSpace.OpenNhds.op_map_id_obj\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124742,
+      "path": "data/train/pb8/mathlib-001862-0000-934e96cf0fabed2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "934e96cf0fabed2f3be3e9c9481c4aa169267fb527e332731367207aafa5e61b"
+    },
+    {
+      "bytes": 37551,
+      "path": "data/internal_test/pb8/mathlib-001862-0000-d8e10b40bf47c490.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d8e10b40bf47c490b6d154f32a3db9dfac7cd9537167e2a9667e408bb69e880a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001863.json b/manifests/batches/mathlib/001863.json
index 18d61a2c902caeddd4ce2ec1b76e3f432968ac98..0949cfabaaae8ecda83bfaaee74395327f2c4d85 100644
--- a/manifests/batches/mathlib/001863.json
+++ b/manifests/batches/mathlib/001863.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001863",
   "batch_fingerprint": "a63ab36691294efb58297c466f0eb8f9977497e62d0a323b4884abd2e079c20f",
   "evidence": {
@@ -821,29 +820,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001863-0000-0cd9b501e1337ce8.parquet",
-      "sha256": "0cd9b501e1337ce8e95145dd68a8a6da086f9e856b05a1ba2b10a398faceaece",
-      "bytes": 109663,
-      "rows": 17,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001863-0000-9c0f9c4c05138000.parquet",
-      "sha256": "9c0f9c4c05138000e758c5985d55e12f21b3a622cd09a0dde9777a756fa90b9c",
-      "bytes": 28226,
-      "rows": 1,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001863-0000-42aeecb657ab84f6.parquet",
-      "sha256": "42aeecb657ab84f60fa8ae77fbe92ff0971e21a9618dcb4c774ce7f987bf6987",
-      "bytes": 66914,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.piComparison_fac",
     "mathlib:TopologicalSpace.Opens.adjunction_counit_app_self",
@@ -869,5 +846,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Opens.lean\",null,null,\"TopologicalSpace.Opens.op_map_id_obj\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Opens.lean\",null,null,\"TopologicalSpace.Opens.openEmbedding_obj_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/TopCat/Yoneda.lean\",null,null,\"ContinuousMap.piComparison_fac\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109663,
+      "path": "data/train/p62/mathlib-001863-0000-0cd9b501e1337ce8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "0cd9b501e1337ce8e95145dd68a8a6da086f9e856b05a1ba2b10a398faceaece"
+    },
+    {
+      "bytes": 28226,
+      "path": "data/dev/p62/mathlib-001863-0000-9c0f9c4c05138000.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9c0f9c4c05138000e758c5985d55e12f21b3a622cd09a0dde9777a756fa90b9c"
+    },
+    {
+      "bytes": 66914,
+      "path": "data/internal_test/p62/mathlib-001863-0000-42aeecb657ab84f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "42aeecb657ab84f60fa8ae77fbe92ff0971e21a9618dcb4c774ce7f987bf6987"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001864.json b/manifests/batches/mathlib/001864.json
index 5c32d61f7f3bf10a6abb66e7b8d7d522adae5511..1419e427324a0f6f9d317449a5ecf23fc2df55ae 100644
--- a/manifests/batches/mathlib/001864.json
+++ b/manifests/batches/mathlib/001864.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001864",
   "batch_fingerprint": "0748b86b6b0a065924a2680d5a56579c6865f01ee1e64c8cb1655844bc685a03",
   "evidence": {
@@ -194,19 +193,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-001864-0000-048743f223a6fbf5.parquet",
-      "sha256": "048743f223a6fbf52cdb351fc3b63736451dfb3631f06f8e61de93319cfc1fac",
-      "bytes": 46291,
-      "rows": 3,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:UniformSpaceCat.extension_comp_coe"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Category/UniformSpace.lean\",null,null,\"UniformSpaceCat.extension_comp_coe\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46291,
+      "path": "data/internal_test/p38/mathlib-001864-0000-048743f223a6fbf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "048743f223a6fbf52cdb351fc3b63736451dfb3631f06f8e61de93319cfc1fac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001865.json b/manifests/batches/mathlib/001865.json
index 57cc7b30d77f6804e9dd4aa075386f33d995c2ed..bbf73481b512fa6ff1a06fcb95693cc8335f862f 100644
--- a/manifests/batches/mathlib/001865.json
+++ b/manifests/batches/mathlib/001865.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001865",
   "batch_fingerprint": "f2f5a9982a89eb3aadfde7ed289dbda144b4fcfde83fbd3d75f33ae30927dcd2",
   "evidence": {
@@ -959,15 +958,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001865-0000-74f084103ad7bc83.parquet",
-      "sha256": "74f084103ad7bc83a811c76f1eabb3d7830aa450d8b4502c63f5b666d18b796a",
-      "bytes": 59538,
-      "rows": 6,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:continuousOn_boolIndicator_iff_isClopen",
     "mathlib:continuous_boolIndicator_iff_isClopen",
@@ -977,5 +968,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Clopen.lean\",null,null,\"continuousOn_boolIndicator_iff_isClopen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Clopen.lean\",null,null,\"continuous_boolIndicator_iff_isClopen\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Clopen.lean\",null,null,\"isClopen_iff_frontier_eq_empty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59538,
+      "path": "data/train/p2e/mathlib-001865-0000-74f084103ad7bc83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "74f084103ad7bc83a811c76f1eabb3d7830aa450d8b4502c63f5b666d18b796a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001866.json b/manifests/batches/mathlib/001866.json
index 63ba3d62d034f1cbb3d6847372ee8ad7d0ef7318..76ba7f89223c1ecbf321e9f224d80e3f9778b662 100644
--- a/manifests/batches/mathlib/001866.json
+++ b/manifests/batches/mathlib/001866.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001866",
   "batch_fingerprint": "b5d24a83b08f53ad915b6f4eba2208db894c03384d8a750e4bc943c4bf628479",
   "evidence": {
@@ -1905,29 +1904,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001866-0000-e33a9e0e4f280c0d.parquet",
-      "sha256": "e33a9e0e4f280c0d0ecccce47faf29cc4a1fdfd42003addccb1a1d2db4485295",
-      "bytes": 188684,
-      "rows": 52,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001866-0000-42e3a75acfeb557e.parquet",
-      "sha256": "42e3a75acfeb557e446a44beb13eba9479e806e06a7b6636a4918d72c59bc444",
-      "bytes": 41432,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001866-0000-fa5516e3f9f6f5e7.parquet",
-      "sha256": "fa5516e3f9f6f5e76946fda122a0c012f9693c867861947fc59fdbf901cb7af0",
-      "bytes": 41864,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.continuous_comp'",
     "mathlib:ContinuousMap.continuous_eval",
@@ -2011,5 +1988,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactification/OnePoint.lean\",null,null,\"OnePoint.tendsto_nhds_infty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactification/OnePoint.lean\",null,null,\"OnePoint.tendsto_nhds_infty'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactification/OnePoint.lean\",null,null,\"OnePoint.ultrafilter_le_nhds_infty\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188684,
+      "path": "data/train/p6b/mathlib-001866-0000-e33a9e0e4f280c0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "e33a9e0e4f280c0d0ecccce47faf29cc4a1fdfd42003addccb1a1d2db4485295"
+    },
+    {
+      "bytes": 41432,
+      "path": "data/dev/p6b/mathlib-001866-0000-42e3a75acfeb557e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "42e3a75acfeb557e446a44beb13eba9479e806e06a7b6636a4918d72c59bc444"
+    },
+    {
+      "bytes": 41864,
+      "path": "data/internal_test/p6b/mathlib-001866-0000-fa5516e3f9f6f5e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fa5516e3f9f6f5e76946fda122a0c012f9693c867861947fc59fdbf901cb7af0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001867.json b/manifests/batches/mathlib/001867.json
index 381b7ed4899a3311446e456c8ba93910fa9087d4..1a9b53c409d45ff00bce0749e700f1e4959e8726 100644
--- a/manifests/batches/mathlib/001867.json
+++ b/manifests/batches/mathlib/001867.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001867",
   "batch_fingerprint": "31b8553e64d833ec51ef583000ab4c404746b4627fda8a5cba05fa47445a9542",
   "evidence": {
@@ -5735,29 +5734,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001867-0000-ad51a1723abaf593.parquet",
-      "sha256": "ad51a1723abaf593ea3221d36165155d262258c7f8fb0b1c9c0db19c682c224e",
-      "bytes": 582818,
-      "rows": 191,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001867-0000-d37127674dec6761.parquet",
-      "sha256": "d37127674dec67615f66e94af69f869a91b4c7f26252e650edba2c0d2e26a061",
-      "bytes": 55307,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001867-0000-f19f6d8c8cc89334.parquet",
-      "sha256": "f19f6d8c8cc89334c2e4ba858253c222dccc8133c088948e8cd54c80ae60fde4",
-      "bytes": 68245,
-      "rows": 13,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bornology.inCompact.isBounded_iff",
     "mathlib:ClosedEmbedding.LindelofSpace",
@@ -5923,5 +5900,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/Lindelof.lean\",null,null,\"lindelofSpace_of_countable_subfamily_closed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/Lindelof.lean\",null,null,\"mem_coclosedLindelof\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/Lindelof.lean\",null,null,\"mem_coclosed_Lindelof'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 582818,
+      "path": "data/train/pe6/mathlib-001867-0000-ad51a1723abaf593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 191,
+      "sha256": "ad51a1723abaf593ea3221d36165155d262258c7f8fb0b1c9c0db19c682c224e"
+    },
+    {
+      "bytes": 55307,
+      "path": "data/dev/pe6/mathlib-001867-0000-d37127674dec6761.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d37127674dec67615f66e94af69f869a91b4c7f26252e650edba2c0d2e26a061"
+    },
+    {
+      "bytes": 68245,
+      "path": "data/internal_test/pe6/mathlib-001867-0000-f19f6d8c8cc89334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f19f6d8c8cc89334c2e4ba858253c222dccc8133c088948e8cd54c80ae60fde4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001868.json b/manifests/batches/mathlib/001868.json
index 6c008b04476a707f05dd0f3f392fabd6a69e3cbb..63b29fac02dbc3f7b5311dfbf5e586331bbb8f23 100644
--- a/manifests/batches/mathlib/001868.json
+++ b/manifests/batches/mathlib/001868.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001868",
   "batch_fingerprint": "3d2a4d1bb81a615269bf29f2f4ca9139fb9b5ebe66c4616f8f1de9cfacf125e1",
   "evidence": {
@@ -885,22 +884,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001868-0000-e77fab35ade2bd14.parquet",
-      "sha256": "e77fab35ade2bd14ed22e9d97cc686279e97d3fc9e0865d2ef8cbef68edd97b7",
-      "bytes": 79666,
-      "rows": 10,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001868-0000-a578d1ecad2a3edc.parquet",
-      "sha256": "a578d1ecad2a3edcab5f62d32d5f0358d12fc1679f4717587c62938e976082e3",
-      "bytes": 50191,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosedEmbedding.locallyCompactSpace",
     "mathlib:compact_basis_nhds",
@@ -914,5 +898,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/LocallyCompact.lean\",null,null,\"exists_compact_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/LocallyCompact.lean\",null,null,\"exists_compact_superset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/LocallyCompact.lean\",null,null,\"exists_mem_nhdsSet_isCompact_mapsTo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79666,
+      "path": "data/train/pc5/mathlib-001868-0000-e77fab35ade2bd14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e77fab35ade2bd14ed22e9d97cc686279e97d3fc9e0865d2ef8cbef68edd97b7"
+    },
+    {
+      "bytes": 50191,
+      "path": "data/internal_test/pc5/mathlib-001868-0000-a578d1ecad2a3edc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a578d1ecad2a3edcab5f62d32d5f0358d12fc1679f4717587c62938e976082e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001869.json b/manifests/batches/mathlib/001869.json
index 6334cd7aac8753d2864fa4017b893302e37446e9..c847def41c093462ce45c276e54c4d6635239335 100644
--- a/manifests/batches/mathlib/001869.json
+++ b/manifests/batches/mathlib/001869.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001869",
   "batch_fingerprint": "35afe87691d460b8aee9643b76ced122f1805fe80e1b0e5c27e3866940a1e7b3",
   "evidence": {
@@ -980,22 +979,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001869-0000-1fdb0b44593a929f.parquet",
-      "sha256": "1fdb0b44593a929f12cbc316ab4f5beb983a314fd34673ad59f6999fcca9e4da",
-      "bytes": 106516,
-      "rows": 31,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001869-0000-dd19f8f74440bbff.parquet",
-      "sha256": "dd19f8f74440bbffefb1593035edd5790bb0e669094abf4da062daba523e026a",
-      "bytes": 39118,
-      "rows": 1,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosedEmbedding.sigmaCompactSpace",
     "mathlib:CompactExhaustion.mem_diff_shiftr_find",
@@ -1023,5 +1007,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/SigmaCompact.lean\",null,null,\"isSigmaCompact_iff_isSigmaCompact_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/SigmaCompact.lean\",null,null,\"isSigmaCompact_sUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Compactness/SigmaCompact.lean\",null,null,\"isSigmaCompact_sUnion_of_isCompact\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106516,
+      "path": "data/train/pcb/mathlib-001869-0000-1fdb0b44593a929f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "1fdb0b44593a929f12cbc316ab4f5beb983a314fd34673ad59f6999fcca9e4da"
+    },
+    {
+      "bytes": 39118,
+      "path": "data/internal_test/pcb/mathlib-001869-0000-dd19f8f74440bbff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dd19f8f74440bbffefb1593035edd5790bb0e669094abf4da062daba523e026a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001870.json b/manifests/batches/mathlib/001870.json
index ac9d59e366855c0d5a4f02332b4c0976b906d5bc..ea58fea7867b0a85f745bcc21403cb178625245e 100644
--- a/manifests/batches/mathlib/001870.json
+++ b/manifests/batches/mathlib/001870.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001870",
   "batch_fingerprint": "73c3aee3dd519101470303fa22d2a2afa74b805e1beef7d5ec3b9b600b7431dc",
   "evidence": {
@@ -6061,22 +6060,7 @@
     "validation_rejected_proofs": 16,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001870-0000-6c20997905264870.parquet",
-      "sha256": "6c20997905264870393ac859c77adbde5f6e1f4c8bd582aee2a1e76f3b9f6351",
-      "bytes": 217112,
-      "rows": 64,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001870-0000-81955b3eb0a42e82.parquet",
-      "sha256": "81955b3eb0a42e8248ea73ec7e4ee6e23c8ff8e953ad1ee241d0acdf35ceabcd",
-      "bytes": 59774,
-      "rows": 6,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Surjective.connectedSpace",
     "mathlib:IsConnected.iUnion_of_chain",
@@ -6142,5 +6126,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/LocallyConnected.lean\",null,null,\"isOpen_connectedComponent\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/LocallyConnected.lean\",null,null,\"locallyConnectedSpace_iff_connected_basis\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/LocallyConnected.lean\",null,null,\"locallyConnectedSpace_of_connected_bases\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217112,
+      "path": "data/train/p86/mathlib-001870-0000-6c20997905264870.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "6c20997905264870393ac859c77adbde5f6e1f4c8bd582aee2a1e76f3b9f6351"
+    },
+    {
+      "bytes": 59774,
+      "path": "data/dev/p86/mathlib-001870-0000-81955b3eb0a42e82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "81955b3eb0a42e8248ea73ec7e4ee6e23c8ff8e953ad1ee241d0acdf35ceabcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001871.json b/manifests/batches/mathlib/001871.json
index 7dfdd8ea5607da7823522e69d491739aba363b45..a2442708755954c427e70a9d9edf3eafa562eeb7 100644
--- a/manifests/batches/mathlib/001871.json
+++ b/manifests/batches/mathlib/001871.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001871",
   "batch_fingerprint": "3ddc49ab3d8cc40734ce5287e9a2265d3a23c009a4feb2c9696bc8ae17578384",
   "evidence": {
@@ -4862,29 +4861,7 @@
     "validation_rejected_proofs": 8,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001871-0000-5c6d4fdabb212ef6.parquet",
-      "sha256": "5c6d4fdabb212ef6bf2fc4b2d65b4563fe82ee59019840b07362c15c71d4c312",
-      "bytes": 277819,
-      "rows": 91,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001871-0000-f80d229cc8688e26.parquet",
-      "sha256": "f80d229cc8688e262072c4da517726c176d545175979a4c6a362adb53b852c54",
-      "bytes": 48007,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001871-0000-34923641746745a1.parquet",
-      "sha256": "34923641746745a13c514df3ea5d66f2a858f52b26fba416219244139d99ea0f",
-      "bytes": 78497,
-      "rows": 9,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.connectedComponentsLift_continuous",
     "mathlib:Continuous.path_trans",
@@ -4968,5 +4945,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/TotallyDisconnected.lean\",null,null,\"isTotallyDisconnected_of_isTotallySeparated\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/TotallyDisconnected.lean\",null,null,\"totallyDisconnectedSpace_iff_connectedComponent_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Connected/TotallyDisconnected.lean\",null,null,\"totallyDisconnectedSpace_subtype_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277819,
+      "path": "data/train/p5c/mathlib-001871-0000-5c6d4fdabb212ef6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "5c6d4fdabb212ef6bf2fc4b2d65b4563fe82ee59019840b07362c15c71d4c312"
+    },
+    {
+      "bytes": 48007,
+      "path": "data/dev/p5c/mathlib-001871-0000-f80d229cc8688e26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f80d229cc8688e262072c4da517726c176d545175979a4c6a362adb53b852c54"
+    },
+    {
+      "bytes": 78497,
+      "path": "data/internal_test/p5c/mathlib-001871-0000-34923641746745a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "34923641746745a13c514df3ea5d66f2a858f52b26fba416219244139d99ea0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001872.json b/manifests/batches/mathlib/001872.json
index 25c4416263f4fd5b0c4534370238750c34a8537d..a9a6b04650bbefaeacae762ad74b2842e1fc29e7 100644
--- a/manifests/batches/mathlib/001872.json
+++ b/manifests/batches/mathlib/001872.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001872",
   "batch_fingerprint": "7713e0f1ae6933b41f4d284f496772ab9cb782c4be0556e9f7862990efc07a42",
   "evidence": {
@@ -6299,29 +6298,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001872-0000-8aaa3e730d73c2b8.parquet",
-      "sha256": "8aaa3e730d73c2b80b35cedcad0b76b66e47642b3b12881159f46e6dc380c700",
-      "bytes": 386042,
-      "rows": 109,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001872-0000-5191bc1db917c8f5.parquet",
-      "sha256": "5191bc1db917c8f5cf99568774515c8b1b63df3facef247cd29f2d08aada242e",
-      "bytes": 83225,
-      "rows": 11,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001872-0000-d2522dda2c17ac1a.parquet",
-      "sha256": "d2522dda2c17ac1ac0d7392ecf59cf4373a1b950b94b24d77b3bfe26c11dd244",
-      "bytes": 88211,
-      "rows": 18,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CofiniteTopology.isClosed_iff",
     "mathlib:CofiniteTopology.isOpen_iff'",
@@ -6503,5 +6480,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Algebra.lean\",null,null,\"ContinuousMap.prod_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Algebra.lean\",null,null,\"Subalgebra.separatesPoints_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Algebra.lean\",null,null,\"algebraMap_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386042,
+      "path": "data/train/p79/mathlib-001872-0000-8aaa3e730d73c2b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 109,
+      "sha256": "8aaa3e730d73c2b80b35cedcad0b76b66e47642b3b12881159f46e6dc380c700"
+    },
+    {
+      "bytes": 83225,
+      "path": "data/dev/p79/mathlib-001872-0000-5191bc1db917c8f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5191bc1db917c8f5cf99568774515c8b1b63df3facef247cd29f2d08aada242e"
+    },
+    {
+      "bytes": 88211,
+      "path": "data/internal_test/p79/mathlib-001872-0000-d2522dda2c17ac1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d2522dda2c17ac1ac0d7392ecf59cf4373a1b950b94b24d77b3bfe26c11dd244"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001873.json b/manifests/batches/mathlib/001873.json
index 45209e27b1e4ba26d6769e211a7ba343ad51a6d9..a583c4f3c2c102325c15c6690aedbc71a4e8c64e 100644
--- a/manifests/batches/mathlib/001873.json
+++ b/manifests/batches/mathlib/001873.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001873",
   "batch_fingerprint": "4087d7b7b6877dfd557c28d3b106f38fec56d82e4ab20caaa97b7b891896a84c",
   "evidence": {
@@ -3776,29 +3775,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001873-0000-4525a16dda82576c.parquet",
-      "sha256": "4525a16dda82576c94ba1b27ace57a7931cb5f0a9a33ef3fd3f00a88eb3a98e3",
-      "bytes": 193950,
-      "rows": 55,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001873-0000-72e09820f28df04b.parquet",
-      "sha256": "72e09820f28df04bddad60e06395452ee9f776267f0f54a7fdf3ccf35e78c4a0",
-      "bytes": 41264,
-      "rows": 1,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001873-0000-cd0cc4e0d1cd995e.parquet",
-      "sha256": "cd0cc4e0d1cd995ecbf957abb9ddde8bec0d555622a31bfc1ff2d48620651f19",
-      "bytes": 69546,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedContinuousFunction.NNReal.upper_bound",
     "mathlib:BoundedContinuousFunction.abs_diff_coe_le_dist",
@@ -3870,5 +3847,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Bounded.lean\",null,null,\"BoundedContinuousFunction.norm_sub_nonneg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Bounded.lean\",null,null,\"BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Bounded.lean\",null,null,\"BoundedContinuousFunction.sum_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193950,
+      "path": "data/train/p3c/mathlib-001873-0000-4525a16dda82576c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "4525a16dda82576c94ba1b27ace57a7931cb5f0a9a33ef3fd3f00a88eb3a98e3"
+    },
+    {
+      "bytes": 41264,
+      "path": "data/dev/p3c/mathlib-001873-0000-72e09820f28df04b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "72e09820f28df04bddad60e06395452ee9f776267f0f54a7fdf3ccf35e78c4a0"
+    },
+    {
+      "bytes": 69546,
+      "path": "data/internal_test/p3c/mathlib-001873-0000-cd0cc4e0d1cd995e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cd0cc4e0d1cd995ecbf957abb9ddde8bec0d555622a31bfc1ff2d48620651f19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001874.json b/manifests/batches/mathlib/001874.json
index ffa7b44ea1ebd3d013105926eb193468ee6becd4..1f6697974411a0b2e66129397e40ef423d965ab5 100644
--- a/manifests/batches/mathlib/001874.json
+++ b/manifests/batches/mathlib/001874.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001874",
   "batch_fingerprint": "1982b6270559eabb1b92043e9eac1c0069a701b862aab85e1b890c0d0958254f",
   "evidence": {
@@ -1167,15 +1166,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001874-0000-f97bbde348a8f494.parquet",
-      "sha256": "f97bbde348a8f49459049a61cdbabe8d1200938c8fca1c0bf0798371064b0f6d",
-      "bytes": 89086,
-      "rows": 11,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CocompactMap.tendsto_of_forall_preimage",
     "mathlib:ContinuousLinearMap.toLinear_compLeftContinuousCompact",
@@ -1195,5 +1186,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Compact.lean\",null,null,\"ContinuousMap.dist_lt_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Compact.lean\",null,null,\"ContinuousMap.dist_lt_iff_of_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Compact.lean\",null,null,\"ContinuousMap.uniformInducing_equivBoundedOfCompact\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89086,
+      "path": "data/train/p4e/mathlib-001874-0000-f97bbde348a8f494.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f97bbde348a8f49459049a61cdbabe8d1200938c8fca1c0bf0798371064b0f6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001875.json b/manifests/batches/mathlib/001875.json
index a84946afd4df67646aae5df3b8105ec3600b9cd5..af5bc8cbdb9ca8d399a9ec0ce6593afb9bed57a5 100644
--- a/manifests/batches/mathlib/001875.json
+++ b/manifests/batches/mathlib/001875.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001875",
   "batch_fingerprint": "4d8eb6be8336dff58bc258dc5eef7bfdfc2d6dfb9149c21f42831144507a72f1",
   "evidence": {
@@ -1008,15 +1007,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001875-0000-c7d60dfdf582e933.parquet",
-      "sha256": "c7d60dfdf582e9330bbfdbd1e4d36abc2fff2cfb6535fd12dd7a24b73e40d7c0",
-      "bytes": 52289,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompactlySupportedContinuousMap.sum_apply",
     "mathlib:CompactlySupportedContinuousMapClass.of_compactSpace",
@@ -1026,5 +1017,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/CompactlySupported.lean\",null,null,\"CompactlySupportedContinuousMap.sum_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/CompactlySupported.lean\",null,null,\"CompactlySupportedContinuousMapClass.of_compactSpace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/ContinuousMapZero.lean\",null,null,\"ContinuousMapZero.closedEmbedding_toContinuousMap\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52289,
+      "path": "data/train/pf5/mathlib-001875-0000-c7d60dfdf582e933.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c7d60dfdf582e9330bbfdbd1e4d36abc2fff2cfb6535fd12dd7a24b73e40d7c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001876.json b/manifests/batches/mathlib/001876.json
index 5afe1a88d47e3689b25b71951acfee4328418099..a54e9e576cc1e226135e4b720493313183d37a73 100644
--- a/manifests/batches/mathlib/001876.json
+++ b/manifests/batches/mathlib/001876.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001876",
   "batch_fingerprint": "c10716d3130da1c61d17976fb47517ff6fa25cd73da02de6d989dd65b146d3d0",
   "evidence": {
@@ -3076,29 +3075,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001876-0000-892d7ed3e75f88d3.parquet",
-      "sha256": "892d7ed3e75f88d3e7b554de7596dda59a3cbbd8a71fb2f9e1515a5cfcf4279d",
-      "bytes": 293970,
-      "rows": 61,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001876-0000-6f33acaa2900f183.parquet",
-      "sha256": "6f33acaa2900f183ab05758cc9a87b31092d0c53fec31e6c7238cf95a8a58834",
-      "bytes": 48349,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001876-0000-a26d1749384ad227.parquet",
-      "sha256": "a26d1749384ad2279118a0d99930d6c7de46fa3f04249859122e78c783db0311",
-      "bytes": 77848,
-      "rows": 9,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.exists_mul_le_one_eqOn_ge",
     "mathlib:ContinuousMap.idealOfEmpty_eq_bot",
@@ -3200,5 +3177,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Ideals.lean\",null,null,\"ContinuousMap.not_mem_setOfIdeal\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Ideals.lean\",null,null,\"ContinuousMap.setOfIdeal_eq_compl_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Ideals.lean\",null,null,\"ContinuousMap.setOfIdeal_open\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293970,
+      "path": "data/train/p0a/mathlib-001876-0000-892d7ed3e75f88d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "892d7ed3e75f88d3e7b554de7596dda59a3cbbd8a71fb2f9e1515a5cfcf4279d"
+    },
+    {
+      "bytes": 48349,
+      "path": "data/dev/p0a/mathlib-001876-0000-6f33acaa2900f183.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6f33acaa2900f183ab05758cc9a87b31092d0c53fec31e6c7238cf95a8a58834"
+    },
+    {
+      "bytes": 77848,
+      "path": "data/internal_test/p0a/mathlib-001876-0000-a26d1749384ad227.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a26d1749384ad2279118a0d99930d6c7de46fa3f04249859122e78c783db0311"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001877.json b/manifests/batches/mathlib/001877.json
index b9020ae03ca7fcecfa25236d9bf895524a822293..214481a08f239457cb0f4cbb01a5195ec90e08f2 100644
--- a/manifests/batches/mathlib/001877.json
+++ b/manifests/batches/mathlib/001877.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001877",
   "batch_fingerprint": "8a9e2faa6a2d4fab0958cf668c0c00aa5856038e887ba7e4cdd0414191634beb",
   "evidence": {
@@ -2806,15 +2805,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001877-0000-b202e6a8b238fad9.parquet",
-      "sha256": "b202e6a8b238fad92eb95477fbf1288fa97767f3843cbfd72500ec377acc709f",
-      "bytes": 52607,
-      "rows": 4,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.coe_inf'",
     "mathlib:ContinuousMap.coe_sup'"
@@ -2822,5 +2813,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Ordered.lean\",null,null,\"ContinuousMap.coe_inf'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Ordered.lean\",null,null,\"ContinuousMap.coe_sup'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52607,
+      "path": "data/train/p7c/mathlib-001877-0000-b202e6a8b238fad9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b202e6a8b238fad92eb95477fbf1288fa97767f3843cbfd72500ec377acc709f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001878.json b/manifests/batches/mathlib/001878.json
index 79ba31be3e24a1e1e1eb8110e42d334b292ef6e8..bb62a9b2d6e623ddbc86041b986d33b9bcf78ea6 100644
--- a/manifests/batches/mathlib/001878.json
+++ b/manifests/batches/mathlib/001878.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001878",
   "batch_fingerprint": "935a49ce62bd0e91639088984c108741fedd1a9da12f6a3172046b54dadebb02",
   "evidence": {
@@ -533,15 +532,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001878-0000-20406ccba9e8958b.parquet",
-      "sha256": "20406ccba9e8958b9007f242f3612ff07c51cc8896cb1197e2b1dbb3aa1565f3",
-      "bytes": 105160,
-      "rows": 18,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.embedding_sigmaMk_comp",
     "mathlib:Polynomial.toContinuousMapOn_X_eq_restrict_id",
@@ -561,5 +552,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Polynomial.lean\",null,null,\"polynomialFunctions_coe\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Polynomial.lean\",null,null,\"polynomialFunctions_separatesPoints\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Sigma.lean\",null,null,\"ContinuousMap.embedding_sigmaMk_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105160,
+      "path": "data/train/p05/mathlib-001878-0000-20406ccba9e8958b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "20406ccba9e8958b9007f242f3612ff07c51cc8896cb1197e2b1dbb3aa1565f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001879.json b/manifests/batches/mathlib/001879.json
index e98deb7f5dcf5d306bf469dd34d7a81b40ddbc5d..5cb134b5144415b39eba7afd02524418dd1dfc61 100644
--- a/manifests/batches/mathlib/001879.json
+++ b/manifests/batches/mathlib/001879.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001879",
   "batch_fingerprint": "4a1663529451667f636c9832b0dbd3c24af5c910c6b0a50981cf5dd95e127348",
   "evidence": {
@@ -2362,7 +2361,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001880.json b/manifests/batches/mathlib/001880.json
index ae3149857d2e946a4485d09a5887c632e2762df0..4e5aa666c25834715e3b5d7dcbecaf624d5b3f78 100644
--- a/manifests/batches/mathlib/001880.json
+++ b/manifests/batches/mathlib/001880.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001880",
   "batch_fingerprint": "b25264d1eb89fad3ce9bc3ceae95a54d8df17a4c780dae420cd16160132addbf",
   "evidence": {
@@ -1153,15 +1152,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001880-0000-1f83c7768d1593d0.parquet",
-      "sha256": "1f83c7768d1593d064b1a01bd60a3fa959fbb2632c0606c98bbae9eef51b4225",
-      "bytes": 46617,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopologicalSpace.productOfMemOpens_inducing",
     "mathlib:TopologicalSpace.productOfMemOpens_injective"
@@ -1169,5 +1160,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/T0Sierpinski.lean\",null,null,\"TopologicalSpace.productOfMemOpens_inducing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/T0Sierpinski.lean\",null,null,\"TopologicalSpace.productOfMemOpens_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46617,
+      "path": "data/train/pdb/mathlib-001880-0000-1f83c7768d1593d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1f83c7768d1593d064b1a01bd60a3fa959fbb2632c0606c98bbae9eef51b4225"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001881.json b/manifests/batches/mathlib/001881.json
index 719c66f7b5ab565eba1f65e0f6eae91bc49b2d7e..3b03dad14548aaa8afd3f4633cbddbd8fc994643 100644
--- a/manifests/batches/mathlib/001881.json
+++ b/manifests/batches/mathlib/001881.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001881",
   "batch_fingerprint": "0631b7c1714147602e1bf085de0fb32356d27f6d7784a128889ea69b998f71af",
   "evidence": {
@@ -176,22 +175,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001881-0000-7fc7d38a16bfd54c.parquet",
-      "sha256": "7fc7d38a16bfd54cf39c68b390755e46f32dbcec9b1de6bef66137d3d49ff518",
-      "bytes": 146496,
-      "rows": 36,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001881-0000-d3d7311d47d636bf.parquet",
-      "sha256": "d3d7311d47d636bf0d3f6a23978cab082be39a615032533dafa5bb9f9307d00f",
-      "bytes": 36637,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.continuous_isUnit_unit",
     "mathlib:ContinuousMap.isUnit_iff_forall_isUnit",
@@ -215,5 +199,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Weierstrass.lean\",null,null,\"exists_polynomial_near_continuousMap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Weierstrass.lean\",null,null,\"exists_polynomial_near_of_continuousOn\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousFunction/Weierstrass.lean\",null,null,\"polynomialFunctions_closure_eq_top'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146496,
+      "path": "data/train/p74/mathlib-001881-0000-7fc7d38a16bfd54c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "7fc7d38a16bfd54cf39c68b390755e46f32dbcec9b1de6bef66137d3d49ff518"
+    },
+    {
+      "bytes": 36637,
+      "path": "data/internal_test/p74/mathlib-001881-0000-d3d7311d47d636bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d3d7311d47d636bf0d3f6a23978cab082be39a615032533dafa5bb9f9307d00f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001882.json b/manifests/batches/mathlib/001882.json
index f921c17c4e752ce3ef1a8f754dae1ef86e145a92..6cb294919d2466fe037958c8438509cc18e69e25 100644
--- a/manifests/batches/mathlib/001882.json
+++ b/manifests/batches/mathlib/001882.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001882",
   "batch_fingerprint": "f3695a0e00204bc85db1e2afa634c0e1a07a64775c746571a9b68bd384edf046",
   "evidence": {
@@ -4704,29 +4703,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001882-0000-8192fc694c6944ec.parquet",
-      "sha256": "8192fc694c6944ecc7fb1408808c8d3bbf3112c7575c6a34c1e3e32bfcfbb00a",
-      "bytes": 469972,
-      "rows": 134,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001882-0000-612a45a06c73dba7.parquet",
-      "sha256": "612a45a06c73dba7dd4fc55e0f7c3d7f1efd975cd5cad40ab1b83b6b92029d61",
-      "bytes": 52833,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001882-0000-daa4d1f709d8aee0.parquet",
-      "sha256": "daa4d1f709d8aee0e147da510aa7d1e44c40b877d7aedae7cdb91feb1a2f1bb4",
-      "bytes": 93090,
-      "rows": 15,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.continuousOn",
     "mathlib:ContinuousAt.comp\u2082_continuousWithinAt_of_eq",
@@ -4916,5 +4893,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousOn.lean\",null,null,\"preimage_nhdsWithin_coinduced'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousOn.lean\",null,null,\"preimage_nhds_within_coinduced\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ContinuousOn.lean\",null,null,\"tendsto_nhdsWithin_iff_subtype\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 469972,
+      "path": "data/train/pde/mathlib-001882-0000-8192fc694c6944ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 134,
+      "sha256": "8192fc694c6944ecc7fb1408808c8d3bbf3112c7575c6a34c1e3e32bfcfbb00a"
+    },
+    {
+      "bytes": 52833,
+      "path": "data/dev/pde/mathlib-001882-0000-612a45a06c73dba7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "612a45a06c73dba7dd4fc55e0f7c3d7f1efd975cd5cad40ab1b83b6b92029d61"
+    },
+    {
+      "bytes": 93090,
+      "path": "data/internal_test/pde/mathlib-001882-0000-daa4d1f709d8aee0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "daa4d1f709d8aee0e147da510aa7d1e44c40b877d7aedae7cdb91feb1a2f1bb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001883.json b/manifests/batches/mathlib/001883.json
index b7eb5646900acd10a7f11c0b94c5523635bf03bc..a4d1048f7a4b358a98bbfae46c91645fdd5a8a91 100644
--- a/manifests/batches/mathlib/001883.json
+++ b/manifests/batches/mathlib/001883.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001883",
   "batch_fingerprint": "77ec94a5aafb4a46a9c8863e569ece049337e001f1619ac98d9cfca1176d55a3",
   "evidence": {
@@ -639,15 +638,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001883-0000-0d7b07bf8c376e95.parquet",
-      "sha256": "0d7b07bf8c376e9502dfa7e3100a3c8cc0108aa3a6e3a64c6f5ca6860364ef23",
-      "bytes": 49475,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsEvenlyCovered.toTrivialization_apply",
     "mathlib:isCoveringMap_iff_isCoveringMapOn_univ"
@@ -655,5 +646,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Covering.lean\",null,null,\"IsEvenlyCovered.toTrivialization_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Covering.lean\",null,null,\"isCoveringMap_iff_isCoveringMapOn_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49475,
+      "path": "data/train/p3e/mathlib-001883-0000-0d7b07bf8c376e95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0d7b07bf8c376e9502dfa7e3100a3c8cc0108aa3a6e3a64c6f5ca6860364ef23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001884.json b/manifests/batches/mathlib/001884.json
index b8b2c39e38d2bb3e3923b96a3e0e00e70f5ad409..acf7c93586572616ed61d1436cd079daaaa169c3 100644
--- a/manifests/batches/mathlib/001884.json
+++ b/manifests/batches/mathlib/001884.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001884",
   "batch_fingerprint": "2d0869286d72a34ea16baea10d7634d631c72452b2331fd900e8dd9489c5ccb6",
   "evidence": {
@@ -1040,22 +1039,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001884-0000-c7875d9dbd2c0d9d.parquet",
-      "sha256": "c7875d9dbd2c0d9db34a52d3dd876e3333e3b27ffd996ea5623f50a9db7267d1",
-      "bytes": 99304,
-      "rows": 30,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001884-0000-cbf866ce567bd39a.parquet",
-      "sha256": "cbf866ce567bd39a351a01b0c85eb034c23e0958462948b9b030303d6e2bd15e",
-      "bytes": 49635,
-      "rows": 1,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DenseInducing.closure_image_mem_nhds",
     "mathlib:DenseInducing.comap_nhds_neBot",
@@ -1075,5 +1059,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DenseEmbedding.lean\",null,null,\"DenseInducing.interior_compact_eq_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DenseEmbedding.lean\",null,null,\"DenseInducing.mk'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DenseEmbedding.lean\",null,null,\"DenseInducing.tendsto_comap_nhds_nhds\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99304,
+      "path": "data/train/p00/mathlib-001884-0000-c7875d9dbd2c0d9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "c7875d9dbd2c0d9db34a52d3dd876e3333e3b27ffd996ea5623f50a9db7267d1"
+    },
+    {
+      "bytes": 49635,
+      "path": "data/internal_test/p00/mathlib-001884-0000-cbf866ce567bd39a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cbf866ce567bd39a351a01b0c85eb034c23e0958462948b9b030303d6e2bd15e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001885.json b/manifests/batches/mathlib/001885.json
index 5634afb5058de26288f568030e7c59bb68520d8e..9b1afc3793a71ab67000c11559292e8457ad9f25 100644
--- a/manifests/batches/mathlib/001885.json
+++ b/manifests/batches/mathlib/001885.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001885",
   "batch_fingerprint": "257e150469e1316a4c81b87171cac1437b8c3e166ac126f45b2bd6b5ac46e4fd",
   "evidence": {
@@ -928,29 +927,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001885-0000-45f22a1734ca5cb4.parquet",
-      "sha256": "45f22a1734ca5cb4e26ceb609b3c04ba3d2f680fc484f03e138b5d6935cca7e8",
-      "bytes": 131499,
-      "rows": 33,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001885-0000-4787501e3f4ceb68.parquet",
-      "sha256": "4787501e3f4ceb681312bea1176da35c34a9d52e057aa29accbba3a4d5f12a8b",
-      "bytes": 51284,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001885-0000-d6b441d69d6f50f9.parquet",
-      "sha256": "d6b441d69d6f50f9c677c0e9400d831e61a57c21ab9cbde6c5b1c1cc0462b462",
-      "bytes": 53455,
-      "rows": 6,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.discrete_of_tendsto_cofinite_cocompact",
     "mathlib:DiscreteQuotient.LEComap.comp",
@@ -990,5 +967,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DiscreteSubset.lean\",null,null,\"Continuous.discrete_of_tendsto_cofinite_cocompact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DiscreteSubset.lean\",null,null,\"tendsto_cofinite_cocompact_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/DiscreteSubset.lean\",null,null,\"tendsto_cofinite_cocompact_of_discrete\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131499,
+      "path": "data/train/p2e/mathlib-001885-0000-45f22a1734ca5cb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "45f22a1734ca5cb4e26ceb609b3c04ba3d2f680fc484f03e138b5d6935cca7e8"
+    },
+    {
+      "bytes": 51284,
+      "path": "data/dev/p2e/mathlib-001885-0000-4787501e3f4ceb68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4787501e3f4ceb681312bea1176da35c34a9d52e057aa29accbba3a4d5f12a8b"
+    },
+    {
+      "bytes": 53455,
+      "path": "data/internal_test/p2e/mathlib-001885-0000-d6b441d69d6f50f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d6b441d69d6f50f9c677c0e9400d831e61a57c21ab9cbde6c5b1c1cc0462b462"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001886.json b/manifests/batches/mathlib/001886.json
index 669ddbb82b9d49328e46d7f75ed035c86406ab4d..10c7fbca8f2beed30d6fded26773301ffa448ab5 100644
--- a/manifests/batches/mathlib/001886.json
+++ b/manifests/batches/mathlib/001886.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001886",
   "batch_fingerprint": "8fda0047a716f2d72e251fb225e62da392aa6f635a0ed89f6bbedae5bcc08c6f",
   "evidence": {
@@ -3778,29 +3777,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001886-0000-ca904ebd7ad40340.parquet",
-      "sha256": "ca904ebd7ad403402156b7f206e81aae491c680b5da18a64077958241de86d08",
-      "bytes": 316072,
-      "rows": 96,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001886-0000-ca9c00bd65e979c4.parquet",
-      "sha256": "ca9c00bd65e979c4f753a99fbc5e61a2ff0c721fc153e519beb4d2c1e6995b81",
-      "bytes": 75232,
-      "rows": 8,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001886-0000-a2d61e3a4508d019.parquet",
-      "sha256": "a2d61e3a4508d019f6ab921edaaf2f69fa6938a2c61534ffb9d80ace30be94e6",
-      "bytes": 80581,
-      "rows": 13,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EMetric.ball_prod_same",
     "mathlib:EMetric.ball_zero",
@@ -3928,5 +3905,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/EMetricSpace/Lipschitz.lean\",null,null,\"continuous_prod_of_dense_continuous_lipschitzWith\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/EMetricSpace/Lipschitz.lean\",null,null,\"lipschitzOnWith_iff_restrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/EMetricSpace/Lipschitz.lean\",null,null,\"lipschitzOn_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316072,
+      "path": "data/train/p2d/mathlib-001886-0000-ca904ebd7ad40340.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 96,
+      "sha256": "ca904ebd7ad403402156b7f206e81aae491c680b5da18a64077958241de86d08"
+    },
+    {
+      "bytes": 75232,
+      "path": "data/dev/p2d/mathlib-001886-0000-ca9c00bd65e979c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ca9c00bd65e979c4f753a99fbc5e61a2ff0c721fc153e519beb4d2c1e6995b81"
+    },
+    {
+      "bytes": 80581,
+      "path": "data/internal_test/p2d/mathlib-001886-0000-a2d61e3a4508d019.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a2d61e3a4508d019f6ab921edaaf2f69fa6938a2c61534ffb9d80ace30be94e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001887.json b/manifests/batches/mathlib/001887.json
index 5fed2098308fcb7e0815278b0bd53929b91414f5..cc9908188aea43c827ba3faef9ab5513450ceca8 100644
--- a/manifests/batches/mathlib/001887.json
+++ b/manifests/batches/mathlib/001887.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001887",
   "batch_fingerprint": "d014da30d0e7037bab215f4b5ad37439358f4ead49b02d46e63f81b35f3774f8",
   "evidence": {
@@ -1342,15 +1341,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001887-0000-67e290d6b01585de.parquet",
-      "sha256": "67e290d6b01585de4a62b3600f0fdbf7e040a7b61aa5778dbb40c2fbc3a227da",
-      "bytes": 70400,
-      "rows": 11,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:StoneCech.projective",
     "mathlib:extremallyDisconnected_of_homeo"
@@ -1358,5 +1349,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ExtremallyDisconnected.lean\",null,null,\"StoneCech.projective\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/ExtremallyDisconnected.lean\",null,null,\"extremallyDisconnected_of_homeo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70400,
+      "path": "data/train/pcf/mathlib-001887-0000-67e290d6b01585de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "67e290d6b01585de4a62b3600f0fdbf7e040a7b61aa5778dbb40c2fbc3a227da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001888.json b/manifests/batches/mathlib/001888.json
index b0aa216ce8a02ae9e93c68ae9828146875ff0bb7..4222ddb4b3497535497b06b48f39316ac9038bc6 100644
--- a/manifests/batches/mathlib/001888.json
+++ b/manifests/batches/mathlib/001888.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001888",
   "batch_fingerprint": "e786bbf52f3d9f8f0f0236f806631d19af2adc4b2f60ac304f75fd9507e9378f",
   "evidence": {
@@ -1440,22 +1439,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001888-0000-d8fd94007d1e90e8.parquet",
-      "sha256": "d8fd94007d1e90e8bb12d2e1948d4f06767c0e6ab28d19179877e5cac9739a65",
-      "bytes": 216059,
-      "rows": 53,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001888-0000-f88b796e0e43e2eb.parquet",
-      "sha256": "f88b796e0e43e2eb38fe631474ca2eb2e17ba000506a28899b0eb0769a81e9f7",
-      "bytes": 45730,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bundle.Trivial.inducing_toProd",
     "mathlib:FiberBundleCore.localTrivAt_apply",
@@ -1497,5 +1481,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Constructions.lean\",null,null,\"Trivialization.Prod.left_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Constructions.lean\",null,null,\"Trivialization.Prod.right_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Constructions.lean\",null,null,\"inducing_pullbackTotalSpaceEmbedding\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216059,
+      "path": "data/train/pbf/mathlib-001888-0000-d8fd94007d1e90e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "d8fd94007d1e90e8bb12d2e1948d4f06767c0e6ab28d19179877e5cac9739a65"
+    },
+    {
+      "bytes": 45730,
+      "path": "data/internal_test/pbf/mathlib-001888-0000-f88b796e0e43e2eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f88b796e0e43e2eb38fe631474ca2eb2e17ba000506a28899b0eb0769a81e9f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001889.json b/manifests/batches/mathlib/001889.json
index dd94eb42111df5e1b8d2326858e1af97fe35e5ba..b34cbe2cb5fb8e64e787bdf4abdd1e3600e2e03a 100644
--- a/manifests/batches/mathlib/001889.json
+++ b/manifests/batches/mathlib/001889.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001889",
   "batch_fingerprint": "046c7964c3f49635dec8ca895dff4c8ecd23d3f0426da410ba929c56ecaa48cb",
   "evidence": {
@@ -2017,29 +2016,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001889-0000-ce34f9e5d174b5f9.parquet",
-      "sha256": "ce34f9e5d174b5f9eb34f6d51c9b4a70545f6bbf930ceb255e7d91b38fb37feb",
-      "bytes": 118244,
-      "rows": 32,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/dev/mathlib-001889-0000-218b7acab774b2cd.parquet",
-      "sha256": "218b7acab774b2cddb2db32abb44c8f3baad7d6e1c493ca168a172f93c7f0351",
-      "bytes": 62746,
-      "rows": 5,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    },
-    {
-      "path": "data/internal_test/mathlib-001889-0000-436dbeddb39e7b56.parquet",
-      "sha256": "436dbeddb39e7b560ea900e6c7278693369418e8ccf6d0c3317ab6230ecca6fe",
-      "bytes": 50296,
-      "rows": 2,
-      "revision": "29e3dcf12035c0c575309f48c52fc161bb503126"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsHomeomorphicTrivialFiberBundle.continuous_proj",
     "mathlib:IsHomeomorphicTrivialFiberBundle.isOpenMap_proj",
@@ -2095,5 +2072,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Trivialization.lean\",null,null,\"Trivialization.nhds_eq_inf_comap\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Trivialization.lean\",null,null,\"Trivialization.preimageSingletonHomeomorph_symm_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/FiberBundle/Trivialization.lean\",null,null,\"Trivialization.toPretrivialization_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118244,
+      "path": "data/train/p5d/mathlib-001889-0000-ce34f9e5d174b5f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "ce34f9e5d174b5f9eb34f6d51c9b4a70545f6bbf930ceb255e7d91b38fb37feb"
+    },
+    {
+      "bytes": 62746,
+      "path": "data/dev/p5d/mathlib-001889-0000-218b7acab774b2cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "218b7acab774b2cddb2db32abb44c8f3baad7d6e1c493ca168a172f93c7f0351"
+    },
+    {
+      "bytes": 50296,
+      "path": "data/internal_test/p5d/mathlib-001889-0000-436dbeddb39e7b56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "436dbeddb39e7b560ea900e6c7278693369418e8ccf6d0c3317ab6230ecca6fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001890.json b/manifests/batches/mathlib/001890.json
index 864509852e2136f02f2b18277d3e617c96985ac3..e8f0f06b17a257ee55617dc2bac93c2f1eac5bf6 100644
--- a/manifests/batches/mathlib/001890.json
+++ b/manifests/batches/mathlib/001890.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001890",
   "batch_fingerprint": "cd1df28c5cce52c60dc002dea08ec5cda1c78728a778645d28e352719cee6c93",
   "evidence": {
@@ -996,29 +995,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001890-0000-c1972fa2c615cee5.parquet",
-      "sha256": "c1972fa2c615cee5b7bef8822bd4dd172f60a644c5cac178f254308486757461",
-      "bytes": 149867,
-      "rows": 46,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001890-0000-ec2d46f79610687b.parquet",
-      "sha256": "ec2d46f79610687b15332a27c466f927ae5ae87451f721c7108501b818198f22",
-      "bytes": 49249,
-      "rows": 4,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001890-0000-f35b0b81a68df7e9.parquet",
-      "sha256": "f35b0b81a68df7e9349d15e2fa94f52f60c7a14eef8d64f06c1e7e2bb5e38e4c",
-      "bytes": 68933,
-      "rows": 9,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.HasBasis.nhds",
     "mathlib:Filter.HasBasis.nhds'",
@@ -1088,5 +1065,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/GDelta.lean\",null,null,\"meagre_empty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/GDelta.lean\",null,null,\"mem_residual_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/GDelta.lean\",null,null,\"residual_of_dense_G\u03b4\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149867,
+      "path": "data/train/p08/mathlib-001890-0000-c1972fa2c615cee5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c1972fa2c615cee5b7bef8822bd4dd172f60a644c5cac178f254308486757461"
+    },
+    {
+      "bytes": 49249,
+      "path": "data/dev/p08/mathlib-001890-0000-ec2d46f79610687b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ec2d46f79610687b15332a27c466f927ae5ae87451f721c7108501b818198f22"
+    },
+    {
+      "bytes": 68933,
+      "path": "data/internal_test/p08/mathlib-001890-0000-f35b0b81a68df7e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f35b0b81a68df7e9349d15e2fa94f52f60c7a14eef8d64f06c1e7e2bb5e38e4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001891.json b/manifests/batches/mathlib/001891.json
index 95fcafc8f48f8b5292feabb5d0643571d46420f6..f3622260f38b1f4260f729214c9f5962e45094cd 100644
--- a/manifests/batches/mathlib/001891.json
+++ b/manifests/batches/mathlib/001891.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001891",
   "batch_fingerprint": "d59f3f33bada7382cf7dfc9d2e6b5aee59769d93e87142b80f2ed68a89135d51",
   "evidence": {
@@ -1941,22 +1940,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001891-0000-23eceaa6c6e1a48b.parquet",
-      "sha256": "23eceaa6c6e1a48bc58994f95e0fe3358d01f3ba0fba95ed758b750681ff350f",
-      "bytes": 79584,
-      "rows": 19,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001891-0000-a8b8c2790b223e99.parquet",
-      "sha256": "a8b8c2790b223e995e276f6f5e7a235f053d2680af3bad8cef149036e09f82b2",
-      "bytes": 62199,
-      "rows": 6,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Eventually.germ_congr_set",
     "mathlib:IsLocallyConstant.of_germ_isConstant",
@@ -1970,5 +1954,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Germ.lean\",null,null,\"eq_of_germ_isConstant_on\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Germ.lean\",null,null,\"forall_restrictGermPredicate_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Germ.lean\",null,null,\"restrictGermPredicate_congr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79584,
+      "path": "data/train/pe3/mathlib-001891-0000-23eceaa6c6e1a48b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "23eceaa6c6e1a48bc58994f95e0fe3358d01f3ba0fba95ed758b750681ff350f"
+    },
+    {
+      "bytes": 62199,
+      "path": "data/internal_test/pe3/mathlib-001891-0000-a8b8c2790b223e99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a8b8c2790b223e995e276f6f5e7a235f053d2680af3bad8cef149036e09f82b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001892.json b/manifests/batches/mathlib/001892.json
index 2613ce6f153010a9171efeb300e2b7664ac00267..0b4ed1bfba6cfe50aeb279a571799d3cbeb02540 100644
--- a/manifests/batches/mathlib/001892.json
+++ b/manifests/batches/mathlib/001892.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001892",
   "batch_fingerprint": "13388523db7f39833434e598301f2267a3c76335d6ad4cfd4bb2b5a39cf9e3c5",
   "evidence": {
@@ -1859,22 +1858,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001892-0000-f7337f2251fb05d1.parquet",
-      "sha256": "f7337f2251fb05d1c18a22814c8a0f09e8c1ec9fa02d3b1a09c08e44488401a6",
-      "bytes": 141399,
-      "rows": 36,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001892-0000-9d169769cb077891.parquet",
-      "sha256": "9d169769cb0778919fdf48ad7109f46481c076163c6dc6957199a9524c9d3ed8",
-      "bytes": 64147,
-      "rows": 9,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.continuous_symm_of_equiv_compact_to_t2",
     "mathlib:ContinuousOpenMap.cancel_left",
@@ -1934,5 +1918,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homeomorph.lean\",null,null,\"Homeomorph.self_trans_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homeomorph.lean\",null,null,\"Homeomorph.symm_map_nhds_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homeomorph.lean\",null,null,\"Homeomorph.symm_trans_self\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141399,
+      "path": "data/train/pa4/mathlib-001892-0000-f7337f2251fb05d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f7337f2251fb05d1c18a22814c8a0f09e8c1ec9fa02d3b1a09c08e44488401a6"
+    },
+    {
+      "bytes": 64147,
+      "path": "data/internal_test/pa4/mathlib-001892-0000-9d169769cb077891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9d169769cb0778919fdf48ad7109f46481c076163c6dc6957199a9524c9d3ed8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001893.json b/manifests/batches/mathlib/001893.json
index 07524e5abf9f7ab01c9c48a7153617aae5a36f96..b1c04e7adfdab93c9607c3dc5fe5ca672407715a 100644
--- a/manifests/batches/mathlib/001893.json
+++ b/manifests/batches/mathlib/001893.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001893",
   "batch_fingerprint": "91419b9fd924e30fc6ed70323c0c31da90a4e696fa87418f318dc840dce08aad",
   "evidence": {
@@ -1425,29 +1424,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001893-0000-618472d832d61ba4.parquet",
-      "sha256": "618472d832d61ba4b7823b68ff37dccc478366f0b3a255c1e53c55b1b112478e",
-      "bytes": 72765,
-      "rows": 14,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001893-0000-a6dfe1f969b1ec7f.parquet",
-      "sha256": "a6dfe1f969b1ec7fabf171f71df739a503b071547ad7b9faf80b1c761b385244",
-      "bytes": 39169,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001893-0000-7a5ad7ecd1fc7408.parquet",
-      "sha256": "7a5ad7ecd1fc7408327a741316969f165005f1a57456fbf3992501d149dc69c6",
-      "bytes": 48862,
-      "rows": 5,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousMap.Homotopy.extend_apply_of_le_zero",
     "mathlib:ContinuousMap.Homotopy.extend_apply_of_one_le",
@@ -1471,5 +1448,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/Contractible.lean\",null,null,\"ContinuousMap.nullhomotopic_of_constant\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/Contractible.lean\",null,null,\"ContractibleSpace.hequiv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/Contractible.lean\",null,null,\"id_nullhomotopic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72765,
+      "path": "data/train/p0b/mathlib-001893-0000-618472d832d61ba4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "618472d832d61ba4b7823b68ff37dccc478366f0b3a255c1e53c55b1b112478e"
+    },
+    {
+      "bytes": 39169,
+      "path": "data/dev/p0b/mathlib-001893-0000-a6dfe1f969b1ec7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a6dfe1f969b1ec7fabf171f71df739a503b071547ad7b9faf80b1c761b385244"
+    },
+    {
+      "bytes": 48862,
+      "path": "data/internal_test/p0b/mathlib-001893-0000-7a5ad7ecd1fc7408.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7a5ad7ecd1fc7408327a741316969f165005f1a57456fbf3992501d149dc69c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001894.json b/manifests/batches/mathlib/001894.json
index b32bc0a6fa16e80109689d64b7147f0f85e4a785..5360e64fcc377742737d3e920a6ad1b84c30f197 100644
--- a/manifests/batches/mathlib/001894.json
+++ b/manifests/batches/mathlib/001894.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001894",
   "batch_fingerprint": "ea2ca8afdfc827b8b382129a97166f4b3ed206eea076908cd9cefc8c228a3659",
   "evidence": {
@@ -525,29 +524,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001894-0000-849681d871a7ebff.parquet",
-      "sha256": "849681d871a7ebffa1a9c3849fa7562e64cc1c2e94de0ab2fa3e78206fe41598",
-      "bytes": 43679,
-      "rows": 8,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001894-0000-f8c9279b52350072.parquet",
-      "sha256": "f8c9279b523500723ddc83d1e8a4da2da0c997ebcdec93b5a75431ed31ff01d8",
-      "bytes": 31590,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001894-0000-c35edd067672a5c7.parquet",
-      "sha256": "c35edd067672a5c7b509d1056eca8f2755f4029a99a7aff852360a173912368b",
-      "bytes": 43978,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Path.delayReflLeft_one",
     "mathlib:Path.delayReflLeft_zero",
@@ -563,5 +540,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/HSpaces.lean\",null,null,\"unitInterval.qRight_one_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/HSpaces.lean\",null,null,\"unitInterval.qRight_one_right\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Homotopy/HSpaces.lean\",null,null,\"unitInterval.qRight_zero_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43679,
+      "path": "data/train/pa7/mathlib-001894-0000-849681d871a7ebff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "849681d871a7ebffa1a9c3849fa7562e64cc1c2e94de0ab2fa3e78206fe41598"
+    },
+    {
+      "bytes": 31590,
+      "path": "data/dev/pa7/mathlib-001894-0000-f8c9279b52350072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f8c9279b523500723ddc83d1e8a4da2da0c997ebcdec93b5a75431ed31ff01d8"
+    },
+    {
+      "bytes": 43978,
+      "path": "data/internal_test/pa7/mathlib-001894-0000-c35edd067672a5c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c35edd067672a5c7b509d1056eca8f2755f4029a99a7aff852360a173912368b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001895.json b/manifests/batches/mathlib/001895.json
index 9bb9211ede5ff79af44c8c10471e5875811171da..5ca826d8ed73dc67e828cd469c49e43e0877d786 100644
--- a/manifests/batches/mathlib/001895.json
+++ b/manifests/batches/mathlib/001895.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001895",
   "batch_fingerprint": "6095137c1c69bc4a6224585cc29bff752dca91d93ed743aa3451fd9ab486e044",
   "evidence": {
@@ -1890,7 +1889,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001896.json b/manifests/batches/mathlib/001896.json
index f2bb94ce557975cb0c816a6bf20c7481546ede5a..3281446e1bafe93afa0a95804f4e27a3465c1006 100644
--- a/manifests/batches/mathlib/001896.json
+++ b/manifests/batches/mathlib/001896.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001896",
   "batch_fingerprint": "4e90eb72ccd7d2e8792aa09700534c748157516ac2c52507fd78716e16f2bfff",
   "evidence": {
@@ -447,15 +446,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001896-0000-f037c9c50d541171.parquet",
-      "sha256": "f037c9c50d541171135db86b195915018ff9504f673b1f7c13dc62ef46ac559f",
-      "bytes": 157876,
-      "rows": 45,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Path.Homotopic.comp_pi_eq_pi_comp",
     "mathlib:Path.Homotopic.pi_lift",
@@ -479,5 +470,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/IndicatorConstPointwise.lean\",null,null,\"tendsto_indicator_const_iff_forall_eventually'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/IndicatorConstPointwise.lean\",null,null,\"tendsto_indicator_const_iff_tendsto_pi_pure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/IndicatorConstPointwise.lean\",null,null,\"tendsto_indicator_const_iff_tendsto_pi_pure'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157876,
+      "path": "data/train/p3b/mathlib-001896-0000-f037c9c50d541171.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "f037c9c50d541171135db86b195915018ff9504f673b1f7c13dc62ef46ac559f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001897.json b/manifests/batches/mathlib/001897.json
index 51fcdc5dd10aed7c09aa46e4ef92ccd170fcc113..7c74d630e2f36b545e386eeda83d25b059d723ef 100644
--- a/manifests/batches/mathlib/001897.json
+++ b/manifests/batches/mathlib/001897.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001897",
   "batch_fingerprint": "5cf7348885a4f97a01cca89a1f7c1bc83f29daaa536d2d0661dac20d150641b2",
   "evidence": {
@@ -3262,29 +3261,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001897-0000-b5b88dbc0f7b2ee4.parquet",
-      "sha256": "b5b88dbc0f7b2ee49e84d055e1aa3b35ab8c076964dc6ea6c4cebd25787023b5",
-      "bytes": 306480,
-      "rows": 75,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001897-0000-fb68a0886c5d344b.parquet",
-      "sha256": "fb68a0886c5d344b79205b412231d1f23bb499fd6534dbbcb1aab20f035ef5dc",
-      "bytes": 49559,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001897-0000-7b512a5ce1bceea5.parquet",
-      "sha256": "7b512a5ce1bceea5551702938eb776290271a43f682864098241ae6c27df9dfa",
-      "bytes": 76004,
-      "rows": 7,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AddCircle.addOrderOf_div_of_gcd_eq_one",
     "mathlib:AddCircle.coe_add_period",
@@ -3384,5 +3361,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/AddCircle.lean\",null,null,\"AddCircle.liftIco_eq_lift_Icc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/AddCircle.lean\",null,null,\"AddCircle.liftIco_zero_coe_apply\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/AddCircle.lean\",null,null,\"toIcoMod_eventuallyEq_toIocMod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306480,
+      "path": "data/train/p47/mathlib-001897-0000-b5b88dbc0f7b2ee4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "b5b88dbc0f7b2ee49e84d055e1aa3b35ab8c076964dc6ea6c4cebd25787023b5"
+    },
+    {
+      "bytes": 49559,
+      "path": "data/dev/p47/mathlib-001897-0000-fb68a0886c5d344b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fb68a0886c5d344b79205b412231d1f23bb499fd6534dbbcb1aab20f035ef5dc"
+    },
+    {
+      "bytes": 76004,
+      "path": "data/internal_test/p47/mathlib-001897-0000-7b512a5ce1bceea5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7b512a5ce1bceea5551702938eb776290271a43f682864098241ae6c27df9dfa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001898.json b/manifests/batches/mathlib/001898.json
index ce82182bb250a6142dd98e17dba94364f8be4875..9303ca1b5be55b809c7e29fc71d812de512e2937 100644
--- a/manifests/batches/mathlib/001898.json
+++ b/manifests/batches/mathlib/001898.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001898",
   "batch_fingerprint": "feff34b61c4c5dea3a8d44407ea71729812bcf3c70725a240ee8f9849e158ae4",
   "evidence": {
@@ -1003,19 +1002,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001898-0000-9d5575a704158fbd.parquet",
-      "sha256": "9d5575a704158fbdf537c205023c345b2888e527664722351952dc1f45e8e680",
-      "bytes": 40498,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:zero_mem_cantorSet"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/CantorSet.lean\",null,null,\"zero_mem_cantorSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40498,
+      "path": "data/train/p08/mathlib-001898-0000-9d5575a704158fbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9d5575a704158fbdf537c205023c345b2888e527664722351952dc1f45e8e680"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001899.json b/manifests/batches/mathlib/001899.json
index 4a4571eb1470e65b28ff9d47e128b0dd187f8d32..12f4e4fbebdc35e25551f3b3452440531c598c81 100644
--- a/manifests/batches/mathlib/001899.json
+++ b/manifests/batches/mathlib/001899.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001899",
   "batch_fingerprint": "4cf97ba7b7f872654f8d9bd248f9a0a69c5a7cc186b3c87d1c8eafedccf5512b",
   "evidence": {
@@ -6178,29 +6177,7 @@
     "validation_rejected_proofs": 18,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001899-0000-9e6da0a539f94b06.parquet",
-      "sha256": "9e6da0a539f94b065a59ef86fbbecb6dbaa5dbcd2b6fc36541bf03caa757c39c",
-      "bytes": 497581,
-      "rows": 157,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001899-0000-bdb8923c063b86e5.parquet",
-      "sha256": "bdb8923c063b86e55955958193e0fd07252347dd4470dd2f49587da0b19909bf",
-      "bytes": 78737,
-      "rows": 15,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001899-0000-22d05e272cf3ba7a.parquet",
-      "sha256": "22d05e272cf3ba7ade562c706ad9c92b86b4b04af8256107bca3b4d57b332208",
-      "bytes": 87865,
-      "rows": 21,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EMetric.diam_closure",
     "mathlib:ENNReal.Tendsto.const_div",
@@ -6382,5 +6359,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/ENNReal.lean\",null,null,\"isClosed_setOf_lipschitzOnWith\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/ENNReal.lean\",null,null,\"isClosed_setOf_lipschitzWith\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/ENNReal.lean\",null,null,\"tendsto_iff_edist_tendsto_0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497581,
+      "path": "data/train/pda/mathlib-001899-0000-9e6da0a539f94b06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 157,
+      "sha256": "9e6da0a539f94b065a59ef86fbbecb6dbaa5dbcd2b6fc36541bf03caa757c39c"
+    },
+    {
+      "bytes": 78737,
+      "path": "data/dev/pda/mathlib-001899-0000-bdb8923c063b86e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "bdb8923c063b86e55955958193e0fd07252347dd4470dd2f49587da0b19909bf"
+    },
+    {
+      "bytes": 87865,
+      "path": "data/internal_test/pda/mathlib-001899-0000-22d05e272cf3ba7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "22d05e272cf3ba7ade562c706ad9c92b86b4b04af8256107bca3b4d57b332208"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001900.json b/manifests/batches/mathlib/001900.json
index f29a8078775b4de95dedd9990d000775214d1897..42e096d602f842048f663a7869eeeb8f2e895169 100644
--- a/manifests/batches/mathlib/001900.json
+++ b/manifests/batches/mathlib/001900.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001900",
   "batch_fingerprint": "e4fb3f749cf6a4ccf2305d09b72a3a96548febcb062da51d7b37df04bbd8b069",
   "evidence": {
@@ -614,29 +613,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001900-0000-a72d24922abdff5d.parquet",
-      "sha256": "a72d24922abdff5d38ad81459c1e3053ac002557cd65d01a8559d59fa9b6cbf7",
-      "bytes": 127147,
-      "rows": 41,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001900-0000-dc52d631ee6eb744.parquet",
-      "sha256": "dc52d631ee6eb7446b83dec40fb5fbe358ce468fb2fd9212b5b3d97f3768fe7b",
-      "bytes": 45596,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001900-0000-92c7d74a2b512007.parquet",
-      "sha256": "92c7d74a2b51200773ed161973182606c12c8fa1fda0c46b45f8d7bafa94bc27",
-      "bytes": 30891,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EReal.closedEmbedding_coe_ennreal",
     "mathlib:EReal.continuousAt_add_bot_bot",
@@ -686,5 +663,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Int.lean\",null,null,\"Int.cofinite_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Int.lean\",null,null,\"Int.dist_eq'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Int.lean\",null,null,\"Int.pairwise_one_le_dist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127147,
+      "path": "data/train/p44/mathlib-001900-0000-a72d24922abdff5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "a72d24922abdff5d38ad81459c1e3053ac002557cd65d01a8559d59fa9b6cbf7"
+    },
+    {
+      "bytes": 45596,
+      "path": "data/dev/p44/mathlib-001900-0000-dc52d631ee6eb744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dc52d631ee6eb7446b83dec40fb5fbe358ce468fb2fd9212b5b3d97f3768fe7b"
+    },
+    {
+      "bytes": 30891,
+      "path": "data/internal_test/p44/mathlib-001900-0000-92c7d74a2b512007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "92c7d74a2b51200773ed161973182606c12c8fa1fda0c46b45f8d7bafa94bc27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001901.json b/manifests/batches/mathlib/001901.json
index 72897c2d8dcec7eb271d41652d4a4370d4c00896..34b5f395c77370c8ce388aa7f7e8c60a8c61ae84 100644
--- a/manifests/batches/mathlib/001901.json
+++ b/manifests/batches/mathlib/001901.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001901",
   "batch_fingerprint": "c2478a56963959b54bb82cd5b1452b22b9af0879d02549e6d258127b553b50ed",
   "evidence": {
@@ -1593,15 +1592,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001901-0000-81b05bc34484d678.parquet",
-      "sha256": "81b05bc34484d678d48b2a2041fc6e8c86a1ea6a026f322c92a99192d4f0c3e9",
-      "bytes": 61820,
-      "rows": 10,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.matrix_det",
     "mathlib:Continuous.matrix_fromBlocks",
@@ -1613,5 +1604,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Irrational.lean\",null,null,\"dense_irrational\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Matrix.lean\",null,null,\"Continuous.matrix_det\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Matrix.lean\",null,null,\"Continuous.matrix_fromBlocks\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61820,
+      "path": "data/train/p53/mathlib-001901-0000-81b05bc34484d678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "81b05bc34484d678d48b2a2041fc6e8c86a1ea6a026f322c92a99192d4f0c3e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001902.json b/manifests/batches/mathlib/001902.json
index b95f2ba6954f8654c3a936e7f4b20379562b16a1..71cb52138ac0e25ee35882c45cbef6016597f9d6 100644
--- a/manifests/batches/mathlib/001902.json
+++ b/manifests/batches/mathlib/001902.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001902",
   "batch_fingerprint": "02f8273c078ecdb54055ba31a28a18b327daa258791c16db3aedbd86961a4069",
   "evidence": {
@@ -705,22 +704,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001902-0000-e7fa111a43ab3f76.parquet",
-      "sha256": "e7fa111a43ab3f76be8246510f2abf32478f71fded48ef937852c5ecda78f3b9",
-      "bytes": 77899,
-      "rows": 29,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001902-0000-7904c57966641c5b.parquet",
-      "sha256": "7904c57966641c5bc3b1597709551119d5167e8d561507abdd5b8f713b4625e2",
-      "bytes": 36640,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasSum.toNNReal",
     "mathlib:NNReal.coe_tsum",
@@ -756,5 +740,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/NNReal.lean\",null,null,\"Real.tendsto_of_bddAbove_monotone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/NNReal.lean\",null,null,\"Real.tendsto_of_bddBelow_antitone\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/NNReal.lean\",null,null,\"Real.tendsto_toNNReal_atTop_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77899,
+      "path": "data/train/p01/mathlib-001902-0000-e7fa111a43ab3f76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e7fa111a43ab3f76be8246510f2abf32478f71fded48ef937852c5ecda78f3b9"
+    },
+    {
+      "bytes": 36640,
+      "path": "data/internal_test/p01/mathlib-001902-0000-7904c57966641c5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7904c57966641c5bc3b1597709551119d5167e8d561507abdd5b8f713b4625e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001903.json b/manifests/batches/mathlib/001903.json
index dcf9440a1414f22ff3de53fdb080ce335edd1b6b..6ce9f4037326304f9e91e265ade6d1c8cd4cc3fb 100644
--- a/manifests/batches/mathlib/001903.json
+++ b/manifests/batches/mathlib/001903.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001903",
   "batch_fingerprint": "fe5bdcd6c1f571022cdfff0f6f8dcd6b2ceae555156d02b9bd6257585b62935e",
   "evidence": {
@@ -238,15 +237,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001903-0000-24ead88ab3d10206.parquet",
-      "sha256": "24ead88ab3d10206db4241e6d21e3051c9b3bbdbc6d8272ec7854d35dcbef061",
-      "bytes": 41926,
-      "rows": 11,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Int.closedEmbedding_coe_rat",
     "mathlib:Int.dist_cast_rat",
@@ -268,5 +259,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Rat.lean\",null,null,\"Rat.uniformContinuous_abs\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Rat.lean\",null,null,\"Rat.uniformContinuous_add\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Rat.lean\",null,null,\"Rat.uniformContinuous_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41926,
+      "path": "data/train/p37/mathlib-001903-0000-24ead88ab3d10206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "24ead88ab3d10206db4241e6d21e3051c9b3bbdbc6d8272ec7854d35dcbef061"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001904.json b/manifests/batches/mathlib/001904.json
index 1b94bdd2f73d598426f1ab1c36947fc1a4d09a4a..1e5d7b56fc55c55e4da6bfcb9eb4457aef3d911a 100644
--- a/manifests/batches/mathlib/001904.json
+++ b/manifests/batches/mathlib/001904.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001904",
   "batch_fingerprint": "74dc661cce6affebd4b3e7a8452d917e3fb0a7b99670be0797ba75025b5f0a2c",
   "evidence": {
@@ -336,29 +335,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001904-0000-c6ad824fb8ac1598.parquet",
-      "sha256": "c6ad824fb8ac159807281a3bd5fe236103769bd083f52ffb011229a109e6e5db",
-      "bytes": 63449,
-      "rows": 18,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001904-0000-b536e842a240e797.parquet",
-      "sha256": "b536e842a240e7975dd9ccd8fb1a39bea4fb5485ed30d1194f6fdf2b15e46793",
-      "bytes": 41487,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001904-0000-96015c043119a5ca.parquet",
-      "sha256": "96015c043119a5caa9620cf70a92a4b8f7c2ccb2368f2d5c1b23c227b749ef43",
-      "bytes": 35310,
-      "rows": 4,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Function.Periodic.compact_of_continuous",
     "mathlib:Int.tendsto_coe_cofinite",
@@ -382,5 +359,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Real.lean\",null,null,\"Real.mem_closure_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Real.lean\",null,null,\"Real.totallyBounded_ball\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Real.lean\",null,null,\"Real.uniformContinuous_neg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63449,
+      "path": "data/train/p82/mathlib-001904-0000-c6ad824fb8ac1598.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c6ad824fb8ac159807281a3bd5fe236103769bd083f52ffb011229a109e6e5db"
+    },
+    {
+      "bytes": 41487,
+      "path": "data/dev/p82/mathlib-001904-0000-b536e842a240e797.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b536e842a240e7975dd9ccd8fb1a39bea4fb5485ed30d1194f6fdf2b15e46793"
+    },
+    {
+      "bytes": 35310,
+      "path": "data/internal_test/p82/mathlib-001904-0000-96015c043119a5ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "96015c043119a5caa9620cf70a92a4b8f7c2ccb2368f2d5c1b23c227b749ef43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001905.json b/manifests/batches/mathlib/001905.json
index 9b42072f7f2135456aeab3ed0897346a065563a6..dd5a4dd11b32aabc141958809651f46c4f628908 100644
--- a/manifests/batches/mathlib/001905.json
+++ b/manifests/batches/mathlib/001905.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001905",
   "batch_fingerprint": "d8ee73db243654cde6e7ff99ddf63e2afa89658b9c9f79d8fe53d9ccd46b2d49",
   "evidence": {
@@ -117,15 +116,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001905-0000-5fc68d43614a98e1.parquet",
-      "sha256": "5fc68d43614a98e11ddeb5a3c89ec131daad6fa5a40254cc49e93b42523a6a84",
-      "bytes": 60605,
-      "rows": 6,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:continuousAt_sign_of_neg",
     "mathlib:continuousAt_sign_of_pos"
@@ -133,5 +124,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Sign.lean\",null,null,\"continuousAt_sign_of_neg\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Instances/Sign.lean\",null,null,\"continuousAt_sign_of_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60605,
+      "path": "data/train/p40/mathlib-001905-0000-5fc68d43614a98e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5fc68d43614a98e11ddeb5a3c89ec131daad6fa5a40254cc49e93b42523a6a84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001906.json b/manifests/batches/mathlib/001906.json
index dfc375072d8b7d3de283620d827188b3b59010ac..40d9fe9e8a38c93b513d81a77308aa2779f7b55e 100644
--- a/manifests/batches/mathlib/001906.json
+++ b/manifests/batches/mathlib/001906.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001906",
   "batch_fingerprint": "7aaf6c206b9e2850ade135d627b7e0e0d25b72e6c8f0a0eeb03c05930df1fff6",
   "evidence": {
@@ -1392,22 +1391,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001906-0000-38ba3252425c92b9.parquet",
-      "sha256": "38ba3252425c92b9745f55f7fac4f40f71af9462620a1228f6319b72197d199f",
-      "bytes": 88526,
-      "rows": 20,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001906-0000-5e5fedcc7b38a011.parquet",
-      "sha256": "5e5fedcc7b38a01187100cfdd6d31c12c13dd7abd18b521a394d43abced28cb9",
-      "bytes": 54308,
-      "rows": 4,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsPreirreducible.preimage",
     "mathlib:Subtype.preirreducibleSpace",
@@ -1427,5 +1411,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Irreducible.lean\",null,null,\"isPreirreducible_iff_closed_union_closed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Irreducible.lean\",null,null,\"nonempty_preirreducible_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Irreducible.lean\",null,null,\"subset_closure_inter_of_isPreirreducible_of_isOpen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88526,
+      "path": "data/train/p7d/mathlib-001906-0000-38ba3252425c92b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "38ba3252425c92b9745f55f7fac4f40f71af9462620a1228f6319b72197d199f"
+    },
+    {
+      "bytes": 54308,
+      "path": "data/dev/p7d/mathlib-001906-0000-5e5fedcc7b38a011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5e5fedcc7b38a01187100cfdd6d31c12c13dd7abd18b521a394d43abced28cb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001907.json b/manifests/batches/mathlib/001907.json
index 0ebad1c060c72fb6ad687540a75a16b28328b188..8f3617c03181f281f80de5351befdcac3d56f6dd 100644
--- a/manifests/batches/mathlib/001907.json
+++ b/manifests/batches/mathlib/001907.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001907",
   "batch_fingerprint": "e525bd33603d0d8a408842e07539c05a675a74c11430d7f06b8c2abfb9657708",
   "evidence": {
@@ -1798,15 +1797,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001907-0000-a1ea418539ed2d23.parquet",
-      "sha256": "a1ea418539ed2d2365977e62492a17bcf8046cbe160d7b3648c0c56e5e534d98",
-      "bytes": 95224,
-      "rows": 21,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocalHomeomorph.isLocallyInjective",
     "mathlib:IsLocalHomeomorphOn.comp",
@@ -1830,5 +1821,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/List.lean\",null,null,\"Vector.tendsto_insertNth\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/List.lean\",null,null,\"nhds_cons\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/List.lean\",null,null,\"nhds_nil\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95224,
+      "path": "data/train/p2f/mathlib-001907-0000-a1ea418539ed2d23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a1ea418539ed2d2365977e62492a17bcf8046cbe160d7b3648c0c56e5e534d98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001908.json b/manifests/batches/mathlib/001908.json
index d78f393cf7fb398852597fd98afa662a49e239aa..5cd46cdfb663e3daac34cdf98962a4637fd378d8 100644
--- a/manifests/batches/mathlib/001908.json
+++ b/manifests/batches/mathlib/001908.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001908",
   "batch_fingerprint": "ad9b9b6acb9fdfa55c39ee459a4576317283f062a7924786c41bdad862cf6c53",
   "evidence": {
@@ -1190,22 +1189,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001908-0000-5193e8ce22cd2732.parquet",
-      "sha256": "5193e8ce22cd2732f45c45c2d38b2bd6e45d87eb284d5bf8fca7d04da9c41361",
-      "bytes": 49789,
-      "rows": 6,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001908-0000-61e61fb8618daabd.parquet",
-      "sha256": "61e61fb8618daabd58994695899bfe1f404c40e3aa965c0350390f4d0e2a5c73",
-      "bytes": 55921,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.restrictPreimage_inducing",
     "mathlib:isClosed_iff_coe_preimage_of_iSup_eq_top",
@@ -1215,5 +1199,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocalAtTarget.lean\",null,null,\"Set.restrictPreimage_inducing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocalAtTarget.lean\",null,null,\"isClosed_iff_coe_preimage_of_iSup_eq_top\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocalAtTarget.lean\",null,null,\"isOpen_iff_coe_preimage_of_iSup_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49789,
+      "path": "data/train/pe0/mathlib-001908-0000-5193e8ce22cd2732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5193e8ce22cd2732f45c45c2d38b2bd6e45d87eb284d5bf8fca7d04da9c41361"
+    },
+    {
+      "bytes": 55921,
+      "path": "data/internal_test/pe0/mathlib-001908-0000-61e61fb8618daabd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "61e61fb8618daabd58994695899bfe1f404c40e3aa965c0350390f4d0e2a5c73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001909.json b/manifests/batches/mathlib/001909.json
index 1bdebac5ef1e635294a733840f934c9fa53486eb..71e75a2f55be9ecd3880ac1b22bc903769473188 100644
--- a/manifests/batches/mathlib/001909.json
+++ b/manifests/batches/mathlib/001909.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001909",
   "batch_fingerprint": "c1b9519fdf2c0d1c599feda3e6fab267113ccb50cbed10af2d7973fbb31445b5",
   "evidence": {
@@ -2103,29 +2102,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001909-0000-1bb8bd33aad89837.parquet",
-      "sha256": "1bb8bd33aad89837ae2c9d53fc1f36bd188d851acc09c6aafa621bcea61f926a",
-      "bytes": 180275,
-      "rows": 41,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001909-0000-6f05df168f3d58f9.parquet",
-      "sha256": "6f05df168f3d58f942a5ef5ddb938bb9c457a358027584b03fff824fa45dca4b",
-      "bytes": 79706,
-      "rows": 11,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001909-0000-0762f2480bf32bab.parquet",
-      "sha256": "0762f2480bf32babb76f9858c69f43ebe0a1cda6bdaed414f2a6e93f4a8c00d3",
-      "bytes": 70239,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsLocallyConstant.comp",
     "mathlib:IsLocallyConstant.comp_continuous",
@@ -2167,5 +2144,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocallyFinite.lean\",null,null,\"LocallyFinite.exists_forall_eventually_eq_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocallyFinite.lean\",null,null,\"LocallyFinite.isClosed_iUnion\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/LocallyFinite.lean\",null,null,\"locallyFinite_option\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180275,
+      "path": "data/train/pbe/mathlib-001909-0000-1bb8bd33aad89837.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "1bb8bd33aad89837ae2c9d53fc1f36bd188d851acc09c6aafa621bcea61f926a"
+    },
+    {
+      "bytes": 79706,
+      "path": "data/dev/pbe/mathlib-001909-0000-6f05df168f3d58f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6f05df168f3d58f942a5ef5ddb938bb9c457a358027584b03fff824fa45dca4b"
+    },
+    {
+      "bytes": 70239,
+      "path": "data/internal_test/pbe/mathlib-001909-0000-0762f2480bf32bab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0762f2480bf32babb76f9858c69f43ebe0a1cda6bdaed414f2a6e93f4a8c00d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001910.json b/manifests/batches/mathlib/001910.json
index 1bfd8d003dfb5038a2af5c88bb73dd8862a30bfb..4a8ccafe6aab9a5c6652b4bcdb1ebbb0e22b76d9 100644
--- a/manifests/batches/mathlib/001910.json
+++ b/manifests/batches/mathlib/001910.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001910",
   "batch_fingerprint": "5f38eaf2eb14491369bb9aa105372d9af6210fc79b10a1179f0d6b067dd49def",
   "evidence": {
@@ -1722,22 +1721,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001910-0000-ab41f19620ab12ce.parquet",
-      "sha256": "ab41f19620ab12ce3dd3708f78eb845fa8287e9b789366886b3485e76549b174",
-      "bytes": 172885,
-      "rows": 59,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001910-0000-26462095418c4aff.parquet",
-      "sha256": "26462095418c4aff90dd7c95432a033dc51bd00340e3ff12ed3b9519b48d8b66",
-      "bytes": 60354,
-      "rows": 5,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosedEmbedding.closed_iff_image_closed",
     "mathlib:ClosedEmbedding.closed_iff_preimage_closed",
@@ -1823,5 +1807,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Maps.lean\",null,null,\"openEmbedding_of_continuous_injective_open\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Maps.lean\",null,null,\"quotientMap_iff_closed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Algebra.lean\",null,null,\"lipschitz_with_lipschitz_const_mul\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172885,
+      "path": "data/train/p2c/mathlib-001910-0000-ab41f19620ab12ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "ab41f19620ab12ce3dd3708f78eb845fa8287e9b789366886b3485e76549b174"
+    },
+    {
+      "bytes": 60354,
+      "path": "data/dev/p2c/mathlib-001910-0000-26462095418c4aff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "26462095418c4aff90dd7c95432a033dc51bd00340e3ff12ed3b9519b48d8b66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001911.json b/manifests/batches/mathlib/001911.json
index 0fce1ba9f87ef7c245e9362b7ec2a666006fef13..476f35af149f6d9c6a5d10d8fe942e3467e8ffa6 100644
--- a/manifests/batches/mathlib/001911.json
+++ b/manifests/batches/mathlib/001911.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001911",
   "batch_fingerprint": "ab452822f26332e208e7bd2f92a6cac06d3d8409e21db3404067e5d8c17446f9",
   "evidence": {
@@ -1044,29 +1043,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001911-0000-a8bb0d65754da474.parquet",
-      "sha256": "a8bb0d65754da474631ad91e6558a73623d9f930ce7f9932fbf2c229c8d6f264",
-      "bytes": 190203,
-      "rows": 47,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001911-0000-db6d2b788c8dae64.parquet",
-      "sha256": "db6d2b788c8dae6411bdcb19c5dff7b868350a16e42cb8802b021fc937e97905",
-      "bytes": 56010,
-      "rows": 5,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001911-0000-9c65dec9c205ec3e.parquet",
-      "sha256": "9c65dec9c205ec3eed325393b06f236e36044e29c67e2800821b3d6e52cfc1b5",
-      "bytes": 42501,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AntilipschitzWith.comap_uniformity_le",
     "mathlib:AntilipschitzWith.comp",
@@ -1124,5 +1101,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Basic.lean\",null,null,\"nndist_eq_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Basic.lean\",null,null,\"zero_eq_dist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Basic.lean\",null,null,\"zero_eq_nndist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190203,
+      "path": "data/train/p01/mathlib-001911-0000-a8bb0d65754da474.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "a8bb0d65754da474631ad91e6558a73623d9f930ce7f9932fbf2c229c8d6f264"
+    },
+    {
+      "bytes": 56010,
+      "path": "data/dev/p01/mathlib-001911-0000-db6d2b788c8dae64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "db6d2b788c8dae6411bdcb19c5dff7b868350a16e42cb8802b021fc937e97905"
+    },
+    {
+      "bytes": 42501,
+      "path": "data/internal_test/p01/mathlib-001911-0000-9c65dec9c205ec3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9c65dec9c205ec3eed325393b06f236e36044e29c67e2800821b3d6e52cfc1b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001912.json b/manifests/batches/mathlib/001912.json
index f355851a22d6a179e2061a922a99998c048b55e3..adc02def68fe16153906c55f7e02858afaec6046 100644
--- a/manifests/batches/mathlib/001912.json
+++ b/manifests/batches/mathlib/001912.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001912",
   "batch_fingerprint": "b57b99eaf1d7217a626a76d96bcc35faf4005fbf19404887320f655e19b8f916",
   "evidence": {
@@ -2432,15 +2431,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001912-0000-7e66bb09cb938a3b.parquet",
-      "sha256": "7e66bb09cb938a3b2e65b38c015b4db3243a06c99088afcd21780fa9020e93da",
-      "bytes": 146699,
-      "rows": 41,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CantorScheme.map_mem",
     "mathlib:CauchySeq.isBounded_range",
@@ -2492,5 +2483,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Bounded.lean\",null,null,\"Metric.tendsto_dist_right_atTop_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Bounded.lean\",null,null,\"comap_dist_left_atTop_eq_cocompact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/CantorScheme.lean\",null,null,\"CantorScheme.map_mem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146699,
+      "path": "data/train/p73/mathlib-001912-0000-7e66bb09cb938a3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "7e66bb09cb938a3b2e65b38c015b4db3243a06c99088afcd21780fa9020e93da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001913.json b/manifests/batches/mathlib/001913.json
index ab4007f9d0326baaaf31caa0bc795083cc24e69b..3a8b973f001c1c2db582c67de6a1b672f8bc5ca5 100644
--- a/manifests/batches/mathlib/001913.json
+++ b/manifests/batches/mathlib/001913.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001913",
   "batch_fingerprint": "879222ec4d34bd471162a572ce21057f416d4f612d0a4a790073b2d11a8b6d3c",
   "evidence": {
@@ -985,19 +984,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001913-0000-d704ac8d214c8620.parquet",
-      "sha256": "d704ac8d214c86207899eaf27e8db1c4fdc89369dd77253d79a04b24005a11f1",
-      "bytes": 58333,
-      "rows": 10,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CauchySeq.isCauSeq"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/CauSeqFilter.lean\",null,null,\"CauchySeq.isCauSeq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58333,
+      "path": "data/train/p5a/mathlib-001913-0000-d704ac8d214c8620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d704ac8d214c86207899eaf27e8db1c4fdc89369dd77253d79a04b24005a11f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001914.json b/manifests/batches/mathlib/001914.json
index a620650d444e69df912dedb996e9d6e31fdb4143..40b980e672c5998d725afec384120815f3593535 100644
--- a/manifests/batches/mathlib/001914.json
+++ b/manifests/batches/mathlib/001914.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001914",
   "batch_fingerprint": "eb7f936d61299954006bc04358788828aa655144b3033fb9a11367cc4bbdb77a",
   "evidence": {
@@ -1316,22 +1315,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001914-0000-1028149b95b4a767.parquet",
-      "sha256": "1028149b95b4a76745c2ca245855cd60e1dc0eada82c38d212062f0a67c5cd3c",
-      "bytes": 43590,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001914-0000-c8995b731a464f1e.parquet",
-      "sha256": "c8995b731a464f1e1fa280d5342bb96afc2831d623e8100934a167b3eb8f857c",
-      "bytes": 40411,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Metric.lipschitz_infDist",
     "mathlib:Metric.lipschitz_infDist_set",
@@ -1341,5 +1325,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Closeds.lean\",null,null,\"Metric.lipschitz_infDist\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Closeds.lean\",null,null,\"Metric.lipschitz_infDist_set\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Completion.lean\",null,null,\"UniformSpace.Completion.uniformity_dist\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43590,
+      "path": "data/train/pa1/mathlib-001914-0000-1028149b95b4a767.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1028149b95b4a76745c2ca245855cd60e1dc0eada82c38d212062f0a67c5cd3c"
+    },
+    {
+      "bytes": 40411,
+      "path": "data/internal_test/pa1/mathlib-001914-0000-c8995b731a464f1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c8995b731a464f1e1fa280d5342bb96afc2831d623e8100934a167b3eb8f857c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001915.json b/manifests/batches/mathlib/001915.json
index 224f6469bfd58bd3da2b4a259865856d7da8edfa..f1b5570a5df09c2a1deab23cbd6abc16ef1a6e91 100644
--- a/manifests/batches/mathlib/001915.json
+++ b/manifests/batches/mathlib/001915.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001915",
   "batch_fingerprint": "adae538ac36999334c4a5319c52fec35ac1bc2219484cc86838c58ea4b269c33",
   "evidence": {
@@ -2153,29 +2152,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001915-0000-98fdd0915dcd045a.parquet",
-      "sha256": "98fdd0915dcd045ad8f7882512cb5eadd9d267e853df82bcd30903ba1f1f492f",
-      "bytes": 181728,
-      "rows": 37,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001915-0000-082fc5d2624603d7.parquet",
-      "sha256": "082fc5d2624603d7a033e9ce9698f96da8ea76c720a74fb3300c67bf7dd1019e",
-      "bytes": 46951,
-      "rows": 9,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001915-0000-1f10f0c7c4760e65.parquet",
-      "sha256": "1f10f0c7c4760e65420be824b0c24124839e35fb32e2068debefb2f10c013cf9",
-      "bytes": 48908,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContractingWith.aposteriori_dist_iterate_fixedPoint_le",
     "mathlib:ContractingWith.dist_fixedPoint_fixedPoint_of_dist_le'",
@@ -2229,5 +2206,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Dilation.lean\",null,null,\"Dilation.ratio_of_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Dilation.lean\",null,null,\"Dilation.ratio_unique\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Dilation.lean\",null,null,\"Dilation.ratio_unique_of_dist_ne_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181728,
+      "path": "data/train/p85/mathlib-001915-0000-98fdd0915dcd045a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "98fdd0915dcd045ad8f7882512cb5eadd9d267e853df82bcd30903ba1f1f492f"
+    },
+    {
+      "bytes": 46951,
+      "path": "data/dev/p85/mathlib-001915-0000-082fc5d2624603d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "082fc5d2624603d7a033e9ce9698f96da8ea76c720a74fb3300c67bf7dd1019e"
+    },
+    {
+      "bytes": 48908,
+      "path": "data/internal_test/p85/mathlib-001915-0000-1f10f0c7c4760e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1f10f0c7c4760e65420be824b0c24124839e35fb32e2068debefb2f10c013cf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001916.json b/manifests/batches/mathlib/001916.json
index 7322c6fdccaef9656511add15efe93e3cc7e14fb..b61b39af60def4216840e0e0c01610c4d42d6513 100644
--- a/manifests/batches/mathlib/001916.json
+++ b/manifests/batches/mathlib/001916.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001916",
   "batch_fingerprint": "0430dd3191fb33c978411932a1a2b24604fda1e4ce15eee9debf7d345c19e6ad",
   "evidence": {
@@ -1051,15 +1050,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001916-0000-ca52663cef3626d3.parquet",
-      "sha256": "ca52663cef3626d3036ab0e22a2b74a896d48a096d7a2d78cc5e45ac3acafc93",
-      "bytes": 65360,
-      "rows": 8,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DilationEquiv.coe_pow",
     "mathlib:DilationEquiv.map_cobounded",
@@ -1073,5 +1064,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/DilationEquiv.lean\",null,null,\"DilationEquiv.ratio_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/DilationEquiv.lean\",null,null,\"IsometryEquiv.toDilationEquiv_ratio\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Equicontinuity.lean\",null,null,\"Metric.equicontinuousAt_of_continuity_modulus\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65360,
+      "path": "data/train/p4f/mathlib-001916-0000-ca52663cef3626d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ca52663cef3626d3036ab0e22a2b74a896d48a096d7a2d78cc5e45ac3acafc93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001917.json b/manifests/batches/mathlib/001917.json
index 2b68985b3f23cfd18d4e65631e0051e0e6553a7a..468767b46309e6a95264429abf2b672f4ebed885 100644
--- a/manifests/batches/mathlib/001917.json
+++ b/manifests/batches/mathlib/001917.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001917",
   "batch_fingerprint": "1657eaebfd2c2a8e823e7b810561b1bc9a23846373d7be9cd647fa819ca84c1a",
   "evidence": {
@@ -4534,22 +4533,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001917-0000-3de38467278e2282.parquet",
-      "sha256": "3de38467278e22829c8231ca43e9010a400232751ba9c1d64f8f46a8524f39bc",
-      "bytes": 86862,
-      "rows": 25,
-      "revision": "c6610ce470310ffbf1f8001ec4805ce997e93865"
-    },
-    {
-      "path": "data/dev/mathlib-001917-0000-cab9bb4a64f7466e.parquet",
-      "sha256": "cab9bb4a64f7466edc59746466213a819bbc49e5c5e6a88b8848ec84f5ab91ee",
-      "bytes": 55439,
-      "rows": 6,
-      "revision": "c6610ce470310ffbf1f8001ec4805ce997e93865"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Metric.Sigma.dist_same",
     "mathlib:Metric.Sigma.isometry_mk",
@@ -4573,5 +4557,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Gluing.lean\",null,null,\"Metric.toGlue_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Gluing.lean\",null,null,\"Metric.toInductiveLimit_commute\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Gluing.lean\",null,null,\"Metric.toInductiveLimit_isometry\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86862,
+      "path": "data/train/p48/mathlib-001917-0000-3de38467278e2282.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "3de38467278e22829c8231ca43e9010a400232751ba9c1d64f8f46a8524f39bc"
+    },
+    {
+      "bytes": 55439,
+      "path": "data/dev/p48/mathlib-001917-0000-cab9bb4a64f7466e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cab9bb4a64f7466edc59746466213a819bbc49e5c5e6a88b8848ec84f5ab91ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001918.json b/manifests/batches/mathlib/001918.json
index 2d94ae5de3999cb4ef38c7bcc32668348f977ff8..23c9205e10110476f6c02816c416fe1c85425106 100644
--- a/manifests/batches/mathlib/001918.json
+++ b/manifests/batches/mathlib/001918.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001918",
   "batch_fingerprint": "5ca607f8e8d695743d5cfbcbfd34bb57d93bbaa6b21e0a67a117cd2ab2bce37d",
   "evidence": {
@@ -2799,29 +2798,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001918-0000-7b078d70a596320b.parquet",
-      "sha256": "7b078d70a596320b3fe103d9daa46b2217758edce357508a14a304c3765a79c9",
-      "bytes": 210348,
-      "rows": 64,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001918-0000-6c1594f9dd67691f.parquet",
-      "sha256": "6c1594f9dd67691f7c741da3076563145006242820aa1b5868bf3c5bf97f5b37",
-      "bytes": 45449,
-      "rows": 1,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001918-0000-762dce0c25445747.parquet",
-      "sha256": "762dce0c25445747f179f9191bda52dac3bf00de0c7de216e305ecc7588a7730",
-      "bytes": 65725,
-      "rows": 9,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContDiff.dimH_range_le",
     "mathlib:ContinuousLinearEquiv.dimH_image",
@@ -2887,5 +2864,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/HausdorffDimension.lean\",null,null,\"dimH_union\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/HausdorffDimension.lean\",null,null,\"exists_mem_nhdsWithin_lt_dimH_of_lt_dimH\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/HausdorffDimension.lean\",null,null,\"le_dimH_of_hausdorffMeasure_eq_top\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210348,
+      "path": "data/train/p68/mathlib-001918-0000-7b078d70a596320b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "7b078d70a596320b3fe103d9daa46b2217758edce357508a14a304c3765a79c9"
+    },
+    {
+      "bytes": 45449,
+      "path": "data/dev/p68/mathlib-001918-0000-6c1594f9dd67691f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6c1594f9dd67691f7c741da3076563145006242820aa1b5868bf3c5bf97f5b37"
+    },
+    {
+      "bytes": 65725,
+      "path": "data/internal_test/p68/mathlib-001918-0000-762dce0c25445747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "762dce0c25445747f179f9191bda52dac3bf00de0c7de216e305ecc7588a7730"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001919.json b/manifests/batches/mathlib/001919.json
index 4f288070f2089e328b22671808298a30e4b222d7..c5ae8bb710a73e43508409ba67ae99e131f0fc7a 100644
--- a/manifests/batches/mathlib/001919.json
+++ b/manifests/batches/mathlib/001919.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001919",
   "batch_fingerprint": "a277d29c7f033b671acb5cd42251b1f7787cc7dac9c8e32fd4e0488ecc9fb35c",
   "evidence": {
@@ -3053,29 +3052,7 @@
     "validation_rejected_proofs": 10,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001919-0000-c765365619f0a4ba.parquet",
-      "sha256": "c765365619f0a4ba2eb5495f0ef801a0a3e32f2b81e2fad272676939a41d1dbe",
-      "bytes": 267122,
-      "rows": 91,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001919-0000-199e781d4a65f1ef.parquet",
-      "sha256": "199e781d4a65f1efbdacf0b18bbdaf7e276062024ae2fdd68edacdd792fb2c90",
-      "bytes": 40269,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001919-0000-794a9d3c80535e1d.parquet",
-      "sha256": "794a9d3c80535e1df29bfed91248fa9ebbf5c7ba7518fd64ba4b346bccb1263c",
-      "bytes": 59032,
-      "rows": 10,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EMetric.edist_le_infEdist_add_ediam",
     "mathlib:EMetric.exists_real_pos_lt_infEdist_of_not_mem_closure",
@@ -3201,5 +3178,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Holder.lean\",null,null,\"holderOnWith_one\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Holder.lean\",null,null,\"holderOnWith_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Holder.lean\",null,null,\"holderOnWith_univ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267122,
+      "path": "data/train/p8d/mathlib-001919-0000-c765365619f0a4ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 91,
+      "sha256": "c765365619f0a4ba2eb5495f0ef801a0a3e32f2b81e2fad272676939a41d1dbe"
+    },
+    {
+      "bytes": 40269,
+      "path": "data/dev/p8d/mathlib-001919-0000-199e781d4a65f1ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "199e781d4a65f1efbdacf0b18bbdaf7e276062024ae2fdd68edacdd792fb2c90"
+    },
+    {
+      "bytes": 59032,
+      "path": "data/internal_test/p8d/mathlib-001919-0000-794a9d3c80535e1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "794a9d3c80535e1df29bfed91248fa9ebbf5c7ba7518fd64ba4b346bccb1263c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001920.json b/manifests/batches/mathlib/001920.json
index ca4ac000f3c19ada9a206984423c77b6cc7ada72..597d2fe3e40a1f2650e764d49f6f2c7f2e0d6523 100644
--- a/manifests/batches/mathlib/001920.json
+++ b/manifests/batches/mathlib/001920.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001920",
   "batch_fingerprint": "756ec3c4d84f09503fb4df96c98e34aa631556393bd7e582b0b44d1c740dfbd3",
   "evidence": {
@@ -2248,29 +2247,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001920-0000-94030bae3ebdf88e.parquet",
-      "sha256": "94030bae3ebdf88eaab4c90c4a7f92024ee1d3634d2165bb6c749c4fafe8c57c",
-      "bytes": 209531,
-      "rows": 69,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001920-0000-61c3a7fd1e14ae8b.parquet",
-      "sha256": "61c3a7fd1e14ae8b6edc138e56d27a74a0e8fcacb53078438f9dcb1a7d3bed5a",
-      "bytes": 44837,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001920-0000-71ab9261e4148307.parquet",
-      "sha256": "71ab9261e414830724ba12789540533ec575f1aea219975ef4d3c05d69ce742c",
-      "bytes": 50455,
-      "rows": 11,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EMetric.preimage_mul_right_ball",
     "mathlib:EMetric.preimage_mul_right_closedBall",
@@ -2378,5 +2355,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/IsometricSMul.lean\",null,null,\"edist_inv_inv\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/IsometricSMul.lean\",null,null,\"nndist_div_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/IsometricSMul.lean\",null,null,\"nndist_div_right\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209531,
+      "path": "data/train/p3b/mathlib-001920-0000-94030bae3ebdf88e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "94030bae3ebdf88eaab4c90c4a7f92024ee1d3634d2165bb6c749c4fafe8c57c"
+    },
+    {
+      "bytes": 44837,
+      "path": "data/dev/p3b/mathlib-001920-0000-61c3a7fd1e14ae8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "61c3a7fd1e14ae8b6edc138e56d27a74a0e8fcacb53078438f9dcb1a7d3bed5a"
+    },
+    {
+      "bytes": 50455,
+      "path": "data/internal_test/p3b/mathlib-001920-0000-71ab9261e4148307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "71ab9261e414830724ba12789540533ec575f1aea219975ef4d3c05d69ce742c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001921.json b/manifests/batches/mathlib/001921.json
index 997ef102c3a33bc26f5dcc2f65bb15d5e197b5e1..67e6550e9ad3ed3c9b9a68cfba2263883c9be992 100644
--- a/manifests/batches/mathlib/001921.json
+++ b/manifests/batches/mathlib/001921.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001921",
   "batch_fingerprint": "98e01de5876fef77953dbdd16853358ef3f809abd44d92aea7d262245595f6c7",
   "evidence": {
@@ -2011,29 +2010,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001921-0000-0a46624784766f8e.parquet",
-      "sha256": "0a46624784766f8e3530eac5a8d58a6919f3fb8319c352f046927193cbbea0cb",
-      "bytes": 139934,
-      "rows": 33,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/dev/mathlib-001921-0000-8c274fa5bf86effc.parquet",
-      "sha256": "8c274fa5bf86effccb4f000f4ccd507726c66120ba443f63e2dbebf737fc7590",
-      "bytes": 43779,
-      "rows": 2,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    },
-    {
-      "path": "data/internal_test/mathlib-001921-0000-b08bf48482ddb0c2.parquet",
-      "sha256": "b08bf48482ddb0c2a091aeb1883597885a5a521603b828ab4cc113f6e0881adb",
-      "bytes": 53488,
-      "rows": 3,
-      "revision": "d57859923ad954ba87a495431aeba07f4831b74f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Isometry.antilipschitz",
     "mathlib:Isometry.diam_image",
@@ -2095,5 +2072,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Isometry.lean\",null,null,\"isometry_iff_nndist_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Isometry.lean\",null,null,\"isometry_subsingleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Kuratowski.lean\",null,null,\"KuratowskiEmbedding.embeddingOfSubset_dist_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139934,
+      "path": "data/train/pf6/mathlib-001921-0000-0a46624784766f8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0a46624784766f8e3530eac5a8d58a6919f3fb8319c352f046927193cbbea0cb"
+    },
+    {
+      "bytes": 43779,
+      "path": "data/dev/pf6/mathlib-001921-0000-8c274fa5bf86effc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8c274fa5bf86effccb4f000f4ccd507726c66120ba443f63e2dbebf737fc7590"
+    },
+    {
+      "bytes": 53488,
+      "path": "data/internal_test/pf6/mathlib-001921-0000-b08bf48482ddb0c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b08bf48482ddb0c2a091aeb1883597885a5a521603b828ab4cc113f6e0881adb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001922.json b/manifests/batches/mathlib/001922.json
index 7cf1a897efca6c0c3a371eba776629989c1346ec..e12b7815323bde98e609373ae46406f618652657 100644
--- a/manifests/batches/mathlib/001922.json
+++ b/manifests/batches/mathlib/001922.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001922",
   "batch_fingerprint": "853746dcfb7c192a8a53a1b14a8dd79be638d33e501eac1cf257f4973433bbfc",
   "evidence": {
@@ -1456,22 +1455,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001922-0000-9f0759865b0a1387.parquet",
-      "sha256": "9f0759865b0a1387f6aca538ff63d5ad4cbe570b61829f74944daa8969893a79",
-      "bytes": 78893,
-      "rows": 22,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001922-0000-a41d3c4b4bc4370d.parquet",
-      "sha256": "a41d3c4b4bc4370da6a4f070597f90ef6d7d4417b994082b23976a3ea44a29ff",
-      "bytes": 60351,
-      "rows": 7,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsMetricSeparated.disjoint",
     "mathlib:IsMetricSeparated.finite_iUnion_right_iff",
@@ -1519,5 +1503,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Lipschitz.lean\",null,null,\"lipschitzWith_iff_dist_le_mul\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/MetricSeparated.lean\",null,null,\"IsMetricSeparated.disjoint\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/MetricSeparated.lean\",null,null,\"IsMetricSeparated.finite_iUnion_right_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78893,
+      "path": "data/train/p94/mathlib-001922-0000-9f0759865b0a1387.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9f0759865b0a1387f6aca538ff63d5ad4cbe570b61829f74944daa8969893a79"
+    },
+    {
+      "bytes": 60351,
+      "path": "data/internal_test/p94/mathlib-001922-0000-a41d3c4b4bc4370d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a41d3c4b4bc4370da6a4f070597f90ef6d7d4417b994082b23976a3ea44a29ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001923.json b/manifests/batches/mathlib/001923.json
index 49f101b411c5f7e31c92dde6aa6f171f94b760b5..5663b5c63ab32bd4b7b0b82dc283efb7d3274339 100644
--- a/manifests/batches/mathlib/001923.json
+++ b/manifests/batches/mathlib/001923.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001923",
   "batch_fingerprint": "0d118c3512617e6b9d31b5ba1a37beaf42a037a6ade22f0399f0bf15718c4b3b",
   "evidence": {
@@ -774,22 +773,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001923-0000-f2fdfe398e3ae2b8.parquet",
-      "sha256": "f2fdfe398e3ae2b8931af58da638dfe69a4ac94afbbd495f37e02daf9c3798ff",
-      "bytes": 90133,
-      "rows": 13,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001923-0000-3ee37f1c621350d7.parquet",
-      "sha256": "3ee37f1c621350d7a33251b934820df98c4cc4ff29dd390e1266abc796dc8436",
-      "bytes": 71098,
-      "rows": 11,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:EMetric.exists_continuous_nnreal_forall_closedBall_subset",
     "mathlib:EMetric.exists_continuous_real_forall_closedBall_subset",
@@ -805,5 +789,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/PartitionOfUnity.lean\",null,null,\"Metric.exists_continuous_nnreal_forall_closedBall_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Perfect.lean\",null,null,\"IsClosed.exists_nat_bool_injection_of_not_countable\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Perfect.lean\",null,null,\"Perfect.small_diam_splitting\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90133,
+      "path": "data/train/p7f/mathlib-001923-0000-f2fdfe398e3ae2b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f2fdfe398e3ae2b8931af58da638dfe69a4ac94afbbd495f37e02daf9c3798ff"
+    },
+    {
+      "bytes": 71098,
+      "path": "data/internal_test/p7f/mathlib-001923-0000-3ee37f1c621350d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3ee37f1c621350d7a33251b934820df98c4cc4ff29dd390e1266abc796dc8436"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001924.json b/manifests/batches/mathlib/001924.json
index 9a1f4a65369ec1ea8abd8ea4dbcb6eaa9d30ce79..2be1484116c26d1a3f96f9deb8959e0802c8e408 100644
--- a/manifests/batches/mathlib/001924.json
+++ b/manifests/batches/mathlib/001924.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001924",
   "batch_fingerprint": "438f6342b20f6fca7f0f4c45bb4e4f9b95092e5e31625af049dd58f1a4857b42",
   "evidence": {
@@ -3718,29 +3717,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001924-0000-915501fca82c8da5.parquet",
-      "sha256": "915501fca82c8da5b0697be580fb85d01106af783142506b993686501d51626f",
-      "bytes": 157126,
-      "rows": 45,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001924-0000-2b06edb57ad747db.parquet",
-      "sha256": "2b06edb57ad747db3dcd7925a306d1796e49a54a7f239b9d520ff22133c0141b",
-      "bytes": 32863,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001924-0000-de9aa14094af24da.parquet",
-      "sha256": "de9aa14094af24da7b9cde2d696e4105b0711c3593bbaefd0949d70237ba8d23",
-      "bytes": 58536,
-      "rows": 14,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompletePseudometrizable.iInf",
     "mathlib:IsOpen.isClopenable",
@@ -3798,5 +3775,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Polish.lean\",null,null,\"IsOpen.polishSpace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Polish.lean\",null,null,\"PolishSpace.IsClopenable.compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Polish.lean\",null,null,\"complete_polishSpaceMetric\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157126,
+      "path": "data/train/p88/mathlib-001924-0000-915501fca82c8da5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "915501fca82c8da5b0697be580fb85d01106af783142506b993686501d51626f"
+    },
+    {
+      "bytes": 32863,
+      "path": "data/dev/p88/mathlib-001924-0000-2b06edb57ad747db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b06edb57ad747db3dcd7925a306d1796e49a54a7f239b9d520ff22133c0141b"
+    },
+    {
+      "bytes": 58536,
+      "path": "data/internal_test/p88/mathlib-001924-0000-de9aa14094af24da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "de9aa14094af24da7b9cde2d696e4105b0711c3593bbaefd0949d70237ba8d23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001925.json b/manifests/batches/mathlib/001925.json
index ea6907c14a1dd6ccd5524a381a60cfd0508c1656..717583af79312c89c6c92a25b42deea1807f37fc 100644
--- a/manifests/batches/mathlib/001925.json
+++ b/manifests/batches/mathlib/001925.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001925",
   "batch_fingerprint": "a3d0ea8645ac63677f7e8c559015a3e58e38a96d87961a1e5055ad38a702813f",
   "evidence": {
@@ -1280,29 +1279,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001925-0000-9fa36bac28e04902.parquet",
-      "sha256": "9fa36bac28e049029e9af0e77a7c48772c72e9d12556074b7a8678f9edf313ed",
-      "bytes": 140884,
-      "rows": 34,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001925-0000-4a6ec6ec52c55571.parquet",
-      "sha256": "4a6ec6ec52c55571e4baf1c49d2eb245a23f7e0fb6225c603c766330f2d8c1d2",
-      "bytes": 48792,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001925-0000-9da0632328c9fcd3.parquet",
-      "sha256": "9da0632328c9fcd31abae801b78f898f1840887c7e3bd2d8635ba6c3aae44c29",
-      "bytes": 65237,
-      "rows": 5,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Fin.dist_insertNth_insertNth",
     "mathlib:Fin.nndist_insertNth_insertNth",
@@ -1356,5 +1333,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean\",null,null,\"nndist_pi_eq_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean\",null,null,\"nndist_pi_le_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean\",null,null,\"nndist_pi_lt_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140884,
+      "path": "data/train/p59/mathlib-001925-0000-9fa36bac28e04902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "9fa36bac28e049029e9af0e77a7c48772c72e9d12556074b7a8678f9edf313ed"
+    },
+    {
+      "bytes": 48792,
+      "path": "data/dev/p59/mathlib-001925-0000-4a6ec6ec52c55571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4a6ec6ec52c55571e4baf1c49d2eb245a23f7e0fb6225c603c766330f2d8c1d2"
+    },
+    {
+      "bytes": 65237,
+      "path": "data/internal_test/p59/mathlib-001925-0000-9da0632328c9fcd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9da0632328c9fcd31abae801b78f898f1840887c7e3bd2d8635ba6c3aae44c29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001926.json b/manifests/batches/mathlib/001926.json
index e7f2a0d9c8fbdb7b5785dc77aa6978fecddb5251..c9e731064c75ed168c4a89aeeb0cebec7dda0e13 100644
--- a/manifests/batches/mathlib/001926.json
+++ b/manifests/batches/mathlib/001926.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001926",
   "batch_fingerprint": "5608b5630f5e0e9dc1619218bd25bd89f245e78f8b2f5967c8c3d48977fa0612",
   "evidence": {
@@ -3455,29 +3454,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001926-0000-fe8c5e730f278943.parquet",
-      "sha256": "fe8c5e730f2789431b63678438ef9389d04b9a43113bc4d10f84a163b2b9faf1",
-      "bytes": 477662,
-      "rows": 137,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001926-0000-7f8cb660e153ad4f.parquet",
-      "sha256": "7f8cb660e153ad4f919afad5b98eca4b7a12f022d823651fb904a0da24c03f66",
-      "bytes": 45309,
-      "rows": 5,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001926-0000-767e30e476a60b4c.parquet",
-      "sha256": "767e30e476a60b4cfebfd7b75d5f92c6c68004df85d5ed6dae32c63a60106653",
-      "bytes": 64055,
-      "rows": 13,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousOn.isSeparable_image",
     "mathlib:DiscreteTopology.of_forall_le_dist",
@@ -3683,5 +3660,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Lemmas.lean\",null,null,\"Real.dist_left_le_of_mem_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Lemmas.lean\",null,null,\"Real.dist_right_le_of_mem_uIcc\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Pseudo/Lemmas.lean\",null,null,\"eventually_closedBall_subset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 477662,
+      "path": "data/train/pe6/mathlib-001926-0000-fe8c5e730f278943.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 137,
+      "sha256": "fe8c5e730f2789431b63678438ef9389d04b9a43113bc4d10f84a163b2b9faf1"
+    },
+    {
+      "bytes": 45309,
+      "path": "data/dev/pe6/mathlib-001926-0000-7f8cb660e153ad4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7f8cb660e153ad4f919afad5b98eca4b7a12f022d823651fb904a0da24c03f66"
+    },
+    {
+      "bytes": 64055,
+      "path": "data/internal_test/pe6/mathlib-001926-0000-767e30e476a60b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "767e30e476a60b4cfebfd7b75d5f92c6c68004df85d5ed6dae32c63a60106653"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001927.json b/manifests/batches/mathlib/001927.json
index 3c8176bdcb5abde0afe6392d784cfaab4facbdaa..85e86da9f64af4c98098bf001acdc328f2a519b0 100644
--- a/manifests/batches/mathlib/001927.json
+++ b/manifests/batches/mathlib/001927.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001927",
   "batch_fingerprint": "fd42fef7eb0a6f1d81606938f19c0eeefbdc9d5a85d307e48eeb2710f994fbfa",
   "evidence": {
@@ -150,15 +149,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001927-0000-6c28d5f0a3848367.parquet",
-      "sha256": "6c28d5f0a38483679489cf5085e3d16b7c49d62c832cdaa3e9a922fd3505de51",
-      "bytes": 81483,
-      "rows": 12,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:exists_locallyFinite_subset_iUnion_ball_radius_lt",
     "mathlib:exists_subset_iUnion_ball_radius_lt",
@@ -168,5 +159,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/ShrinkingLemma.lean\",null,null,\"exists_locallyFinite_subset_iUnion_ball_radius_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/ShrinkingLemma.lean\",null,null,\"exists_subset_iUnion_ball_radius_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/ShrinkingLemma.lean\",null,null,\"exists_subset_iUnion_ball_radius_pos_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81483,
+      "path": "data/train/p98/mathlib-001927-0000-6c28d5f0a3848367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6c28d5f0a38483679489cf5085e3d16b7c49d62c832cdaa3e9a922fd3505de51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001928.json b/manifests/batches/mathlib/001928.json
index b7220fc99d9da98dc1b51c75b714257c2ffcaf94..5ef32ab9f29ca0465aebc58ac50c0b41db0cbcfb 100644
--- a/manifests/batches/mathlib/001928.json
+++ b/manifests/batches/mathlib/001928.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001928",
   "batch_fingerprint": "f63a9f2faf584f6e59e018ae21d94d41af1a606a78f4436f14d9a6a70fb8be42",
   "evidence": {
@@ -2914,29 +2913,7 @@
     "validation_rejected_proofs": 9,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001928-0000-edf03bcdad32af60.parquet",
-      "sha256": "edf03bcdad32af6011c2fe2661961d373f1fd920b1d53b71cbbb5953716adf8e",
-      "bytes": 269500,
-      "rows": 94,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001928-0000-53b1cdb3597c9309.parquet",
-      "sha256": "53b1cdb3597c9309864fec798051366bd2768258a6e51ae44628a9fccb0635bc",
-      "bytes": 52280,
-      "rows": 5,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001928-0000-1c844995236dab6a.parquet",
-      "sha256": "1c844995236dab6a2f72bb369943b1f21c76a1f2e9d24e9559d2224fd3667da1",
-      "bytes": 59763,
-      "rows": 7,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bornology.IsBounded.cthickening",
     "mathlib:Disjoint.exists_cthickenings",
@@ -3036,5 +3013,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Thickening.lean\",null,null,\"Metric.thickening_singleton\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Thickening.lean\",null,null,\"Metric.thickening_subset_cthickening\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/MetricSpace/Thickening.lean\",null,null,\"Metric.thickening_union\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269500,
+      "path": "data/train/p6d/mathlib-001928-0000-edf03bcdad32af60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "edf03bcdad32af6011c2fe2661961d373f1fd920b1d53b71cbbb5953716adf8e"
+    },
+    {
+      "bytes": 52280,
+      "path": "data/dev/p6d/mathlib-001928-0000-53b1cdb3597c9309.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "53b1cdb3597c9309864fec798051366bd2768258a6e51ae44628a9fccb0635bc"
+    },
+    {
+      "bytes": 59763,
+      "path": "data/internal_test/p6d/mathlib-001928-0000-1c844995236dab6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1c844995236dab6a2f72bb369943b1f21c76a1f2e9d24e9559d2224fd3667da1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001929.json b/manifests/batches/mathlib/001929.json
index 9131298d29031accb6d662936f1c62e50c10969e..59288cc736dfe3cfee1a53859e199012b80954a5 100644
--- a/manifests/batches/mathlib/001929.json
+++ b/manifests/batches/mathlib/001929.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001929",
   "batch_fingerprint": "773183cafbcc99bc3d8bba986be62ee1f2a9a57ca0468d25e2fccf2aab268b7d",
   "evidence": {
@@ -994,15 +993,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001929-0000-35c891145320f532.parquet",
-      "sha256": "35c891145320f53247a65d45152bef2d4aadb4c1ddc7fe2df388323ac1e59717",
-      "bytes": 51356,
-      "rows": 6,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:PseudoMetricSpace.dist_ofPreNNDist_le",
     "mathlib:TopologicalSpace.IsSeparable.secondCountableTopology",
@@ -1012,5 +1003,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Metrizable/Basic.lean\",null,null,\"TopologicalSpace.IsSeparable.secondCountableTopology\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Metrizable/Uniformity.lean\",null,null,\"PseudoMetricSpace.dist_ofPreNNDist_le\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Metrizable/Uniformity.lean\",null,null,\"UniformSpace.metrizableSpace\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51356,
+      "path": "data/train/p90/mathlib-001929-0000-35c891145320f532.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "35c891145320f53247a65d45152bef2d4aadb4c1ddc7fe2df388323ac1e59717"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001930.json b/manifests/batches/mathlib/001930.json
index 18d626e7525c7b878500ed1e0674d3139d958e77..c453463a05ceeea7661d75990366116a7a260de4 100644
--- a/manifests/batches/mathlib/001930.json
+++ b/manifests/batches/mathlib/001930.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001930",
   "batch_fingerprint": "96f1ee65463241fae109fdaa05b92ff5464446fd33e373011762868236dabcc3",
   "evidence": {
@@ -892,29 +891,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001930-0000-950d9aef78cecbe5.parquet",
-      "sha256": "950d9aef78cecbe5e2d739433e75efbfec81d17a8db22faf33022570b31b32ba",
-      "bytes": 73417,
-      "rows": 22,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001930-0000-b93a91acbb7bb24d.parquet",
-      "sha256": "b93a91acbb7bb24dd8707a3a074090a153d500dedb7fb0e7f171a8e138f68981",
-      "bytes": 31627,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001930-0000-f2801bd9874c30f1.parquet",
-      "sha256": "f2801bd9874c30f166be60a7ae80de43a748c15bd44ec4fc516733fed3b01428",
-      "bytes": 41833,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.tendsto_nhdsSet_nhds",
     "mathlib:Filter.Eventually.union_nhdsSet",
@@ -964,5 +941,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/NhdsSet.lean\",null,null,\"nhdsSet_univ\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/NhdsSet.lean\",null,null,\"subset_interior_iff_mem_nhdsSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/NhdsSet.lean\",null,null,\"union_mem_nhdsSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73417,
+      "path": "data/train/p5f/mathlib-001930-0000-950d9aef78cecbe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "950d9aef78cecbe5e2d739433e75efbfec81d17a8db22faf33022570b31b32ba"
+    },
+    {
+      "bytes": 31627,
+      "path": "data/dev/p5f/mathlib-001930-0000-b93a91acbb7bb24d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b93a91acbb7bb24dd8707a3a074090a153d500dedb7fb0e7f171a8e138f68981"
+    },
+    {
+      "bytes": 41833,
+      "path": "data/internal_test/p5f/mathlib-001930-0000-f2801bd9874c30f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f2801bd9874c30f166be60a7ae80de43a748c15bd44ec4fc516733fed3b01428"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001931.json b/manifests/batches/mathlib/001931.json
index 13906841228bfeeb172f639dd538caf1e1d871e3..e9ecfe5f2777d24c9ab882f439e8b064402ed403 100644
--- a/manifests/batches/mathlib/001931.json
+++ b/manifests/batches/mathlib/001931.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001931",
   "batch_fingerprint": "126dfaa81561dab1b673357c45cbc26449d315549bef790bc9963d3a51b938d0",
   "evidence": {
@@ -754,22 +753,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001931-0000-a1afc16f3d2a7418.parquet",
-      "sha256": "a1afc16f3d2a7418cb94b92e9d29a15a252cd2238641c0d5903d6ba0d1573548",
-      "bytes": 108654,
-      "rows": 32,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001931-0000-e66148aff12a13ef.parquet",
-      "sha256": "e66148aff12a13ef85417760b6eec364d978f68000e4b014bd507b4105734010",
-      "bytes": 62239,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Scott.isOpen_sUnion",
     "mathlib:Scott.is\u03c9Sup_iff_isLUB",
@@ -795,5 +779,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/OmegaCompletePartialOrder.lean\",null,null,\"Scott.is\u03c9Sup_iff_isLUB\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/OmegaCompletePartialOrder.lean\",null,null,\"continuous_of_scottContinuous\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/OmegaCompletePartialOrder.lean\",null,null,\"notBelow_isOpen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108654,
+      "path": "data/train/p52/mathlib-001931-0000-a1afc16f3d2a7418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a1afc16f3d2a7418cb94b92e9d29a15a252cd2238641c0d5903d6ba0d1573548"
+    },
+    {
+      "bytes": 62239,
+      "path": "data/internal_test/p52/mathlib-001931-0000-e66148aff12a13ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e66148aff12a13ef85417760b6eec364d978f68000e4b014bd507b4105734010"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001932.json b/manifests/batches/mathlib/001932.json
index 72070d22e0cceae4441f67ac1ac2c31f96a3205a..28f9fed18961415a72fb807c50f6d9e88c06d53a 100644
--- a/manifests/batches/mathlib/001932.json
+++ b/manifests/batches/mathlib/001932.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001932",
   "batch_fingerprint": "5be62ab49a3982186aef492accc63d1fd6132b155aaf3c526f2bd8b1b53892e6",
   "evidence": {
@@ -4794,29 +4793,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001932-0000-39b64c7d76a7bc36.parquet",
-      "sha256": "39b64c7d76a7bc3681e45845fb9f38df91376ac8614be6ba750049da11f72e81",
-      "bytes": 366706,
-      "rows": 99,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001932-0000-4e76f2f98ee5adb8.parquet",
-      "sha256": "4e76f2f98ee5adb8cd01a9adee0c052abb4f5444c2283c976a7430ff92f5f79f",
-      "bytes": 49437,
-      "rows": 6,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001932-0000-67dbf1149c3270bf.parquet",
-      "sha256": "67dbf1149c3270bf01b912d3e0d707a3963fd93d68f33594096df004fa60a1e2",
-      "bytes": 44559,
-      "rows": 4,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.induced_symm",
     "mathlib:TopologicalSpace.tendsto_nhds_generateFrom_iff",
@@ -4946,5 +4923,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Basic.lean\",null,null,\"tendsto_nhds_top_mono\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Basic.lean\",null,null,\"tendsto_order\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Basic.lean\",null,null,\"tendsto_order_unbounded\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366706,
+      "path": "data/train/pad/mathlib-001932-0000-39b64c7d76a7bc36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "39b64c7d76a7bc3681e45845fb9f38df91376ac8614be6ba750049da11f72e81"
+    },
+    {
+      "bytes": 49437,
+      "path": "data/dev/pad/mathlib-001932-0000-4e76f2f98ee5adb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4e76f2f98ee5adb8cd01a9adee0c052abb4f5444c2283c976a7430ff92f5f79f"
+    },
+    {
+      "bytes": 44559,
+      "path": "data/internal_test/pad/mathlib-001932-0000-67dbf1149c3270bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "67dbf1149c3270bf01b912d3e0d707a3963fd93d68f33594096df004fa60a1e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001933.json b/manifests/batches/mathlib/001933.json
index 09297472a126aad2999765e7b4b913c84a79bfb0..97af01c10e5bee6ae9acc5154e38b9b5a0442f40 100644
--- a/manifests/batches/mathlib/001933.json
+++ b/manifests/batches/mathlib/001933.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001933",
   "batch_fingerprint": "c944ddea3eb9976a4a8c8059f8d7b14c8f094a99c75b17765086dcb6e1577ab9",
   "evidence": {
@@ -354,7 +353,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001934.json b/manifests/batches/mathlib/001934.json
index 3bd524dea9c13972a813ca8c5adb774d3adc7eb4..63a0c8ffc61e123304c166cea3357790d89869ec 100644
--- a/manifests/batches/mathlib/001934.json
+++ b/manifests/batches/mathlib/001934.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001934",
   "batch_fingerprint": "9d6082bae3b939fe9100e9f94f660ecb01012dada8db7aec5cdddde46f344d4d",
   "evidence": {
@@ -107,7 +106,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001935.json b/manifests/batches/mathlib/001935.json
index 38aca8e251204318934026a1ae38a1856534a5ca..e6bf494846ae1aa288d7d6508188deb5317862d5 100644
--- a/manifests/batches/mathlib/001935.json
+++ b/manifests/batches/mathlib/001935.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001935",
   "batch_fingerprint": "72b9d2705f7196b208ce7f1f4143e7a70a8fc98e7a0d1b93cd77a51992d55b05",
   "evidence": {
@@ -1606,22 +1605,7 @@
     "validation_rejected_proofs": 11,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001935-0000-80d68bc6eb2729e6.parquet",
-      "sha256": "80d68bc6eb2729e6dfe8ea51c5b1eb85d8e0faf78cdc216b6d017aab268a3226",
-      "bytes": 134292,
-      "rows": 34,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001935-0000-33eee8444496267b.parquet",
-      "sha256": "33eee8444496267bfbd40e3af4d9dbeb987225120bc381027c3893ba9a7679d2",
-      "bytes": 70148,
-      "rows": 6,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Icc_mem_nhds_iff",
     "mathlib:Ico_mem_nhds_iff",
@@ -1683,5 +1667,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/DenselyOrdered.lean\",null,null,\"tendsto_comp_coe_Ioo_atBot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/DenselyOrdered.lean\",null,null,\"tendsto_comp_coe_Ioo_atTop\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/ExtendFrom.lean\",null,null,\"continuousOn_Ioc_extendFrom_Ioo\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134292,
+      "path": "data/train/paf/mathlib-001935-0000-80d68bc6eb2729e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "80d68bc6eb2729e6dfe8ea51c5b1eb85d8e0faf78cdc216b6d017aab268a3226"
+    },
+    {
+      "bytes": 70148,
+      "path": "data/internal_test/paf/mathlib-001935-0000-33eee8444496267b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "33eee8444496267bfbd40e3af4d9dbeb987225120bc381027c3893ba9a7679d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001936.json b/manifests/batches/mathlib/001936.json
index dfd726744939b23a16aa8d8d272031fbd9cbc42c..d80da720ffbc5369e77af06806b5ba489478c8a0 100644
--- a/manifests/batches/mathlib/001936.json
+++ b/manifests/batches/mathlib/001936.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001936",
   "batch_fingerprint": "fa5fa70c43e5a9c5abb0f614608b3db99d513714e63484c11a1178383a69bf5b",
   "evidence": {
@@ -307,7 +306,8 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001937.json b/manifests/batches/mathlib/001937.json
index e24ac4b2b0b3cc98f17c51e70665ec2beac013d5..5252afdd6693581f24c0514b8587d178d993be17 100644
--- a/manifests/batches/mathlib/001937.json
+++ b/manifests/batches/mathlib/001937.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001937",
   "batch_fingerprint": "9f50e267bb2e30235b5596bcd6539c68ae78d14679063e3449b90b4218a487f5",
   "evidence": {
@@ -986,15 +985,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001937-0000-bc879af216b56b80.parquet",
-      "sha256": "bc879af216b56b80da53497b6725f04d46c695f7f145df2aff32ed391c1f7556",
-      "bytes": 48317,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousOrderHom.cancel_left",
     "mathlib:PseudoEpimorphism.cancel_left"
@@ -1002,5 +993,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Hom/Basic.lean\",null,null,\"ContinuousOrderHom.cancel_left\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Hom/Esakia.lean\",null,null,\"PseudoEpimorphism.cancel_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48317,
+      "path": "data/train/p92/mathlib-001937-0000-bc879af216b56b80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bc879af216b56b80da53497b6725f04d46c695f7f145df2aff32ed391c1f7556"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001938.json b/manifests/batches/mathlib/001938.json
index 02ddf67b99c22f6713e9e2e06b4d149d3b595825..3bb3631543544abb37355483a66404be4d218cd2 100644
--- a/manifests/batches/mathlib/001938.json
+++ b/manifests/batches/mathlib/001938.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001938",
   "batch_fingerprint": "45b47ff5caac1dea65191d5cf01b454f1dfe0a5f9e2e86d1919c2898b22ddb51",
   "evidence": {
@@ -3172,29 +3171,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001938-0000-26a8e7a0a116a70d.parquet",
-      "sha256": "26a8e7a0a116a70d54e1ced4a2b616b64986f5fe72014aa6bc410ff60b0ca7ed",
-      "bytes": 199244,
-      "rows": 34,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001938-0000-a987550afc728d1a.parquet",
-      "sha256": "a987550afc728d1a4563c7171a6b42a9512b6014f83e1038fbee95657a81c343",
-      "bytes": 67074,
-      "rows": 6,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001938-0000-bdadcc279b8a1149.parquet",
-      "sha256": "bdadcc279b8a11492e189a54ef0f8a78a39735dfc089bb663310e6237372fadb",
-      "bytes": 63420,
-      "rows": 4,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousOn.strictMonoOn_of_injOn_Ioo",
     "mathlib:ContinuousOn.surjOn_uIcc",
@@ -3232,5 +3209,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/IsLUB.lean\",null,null,\"exists_seq_strictMono_tendsto'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/IsLUB.lean\",null,null,\"exists_seq_tendsto_sSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/IsLUB.lean\",null,null,\"isLUB_of_mem_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199244,
+      "path": "data/train/pee/mathlib-001938-0000-26a8e7a0a116a70d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "26a8e7a0a116a70d54e1ced4a2b616b64986f5fe72014aa6bc410ff60b0ca7ed"
+    },
+    {
+      "bytes": 67074,
+      "path": "data/dev/pee/mathlib-001938-0000-a987550afc728d1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a987550afc728d1a4563c7171a6b42a9512b6014f83e1038fbee95657a81c343"
+    },
+    {
+      "bytes": 63420,
+      "path": "data/internal_test/pee/mathlib-001938-0000-bdadcc279b8a1149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bdadcc279b8a11492e189a54ef0f8a78a39735dfc089bb663310e6237372fadb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001939.json b/manifests/batches/mathlib/001939.json
index ae78f128e37f86762be0b12a80ee0fec4504f493..49c8579309e9d6bdd040cf25776e7eb8271d4fda 100644
--- a/manifests/batches/mathlib/001939.json
+++ b/manifests/batches/mathlib/001939.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001939",
   "batch_fingerprint": "23acc18a354f0b8a9610738ac919837fda180c938bfecc3277438472a86b9fa2",
   "evidence": {
@@ -1698,22 +1697,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001939-0000-b703cc3b7215c9a9.parquet",
-      "sha256": "b703cc3b7215c9a9213b33bc00da6dccb5ef9c4656436c534c72ce66335c571f",
-      "bytes": 73308,
-      "rows": 22,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001939-0000-d8a34aa9a86a6582.parquet",
-      "sha256": "d8a34aa9a86a6582d9c235a4ef3f4c60db5a5b88e3323a52d77206d81aa23fee",
-      "bytes": 49432,
-      "rows": 1,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAt.finset_inf",
     "mathlib:ContinuousAt.finset_inf'",
@@ -1749,5 +1733,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LawsonTopology.lean\",null,null,\"Topology.lawsonClosed_iff_scottClosed_of_isLowerSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LawsonTopology.lean\",null,null,\"Topology.lawsonOpen_iff_scottOpen_of_isUpperSet'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LawsonTopology.lean\",null,null,\"Topology.scottHausdorff_le_isLawson\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73308,
+      "path": "data/train/pe6/mathlib-001939-0000-b703cc3b7215c9a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b703cc3b7215c9a9213b33bc00da6dccb5ef9c4656436c534c72ce66335c571f"
+    },
+    {
+      "bytes": 49432,
+      "path": "data/internal_test/pe6/mathlib-001939-0000-d8a34aa9a86a6582.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "d8a34aa9a86a6582d9c235a4ef3f4c60db5a5b88e3323a52d77206d81aa23fee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001940.json b/manifests/batches/mathlib/001940.json
index 8947f2c84089435d5f49f46d15b64323e0de2d1c..5d2bf466073d8bf0e70fe2c3df208df058029d9b 100644
--- a/manifests/batches/mathlib/001940.json
+++ b/manifests/batches/mathlib/001940.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001940",
   "batch_fingerprint": "f29f1f47c1ef3575daa0d6e63cd2cbd203ceca26ad0f1d42249f73e522fc2630",
   "evidence": {
@@ -1646,22 +1645,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001940-0000-c1b25c2cb3cdbd83.parquet",
-      "sha256": "c1b25c2cb3cdbd83e8438426381b2c8eb109ea412e8d8bf60e7604b35b189356",
-      "bytes": 81227,
-      "rows": 18,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001940-0000-1cd6c04a45b55731.parquet",
-      "sha256": "1cd6c04a45b5573169c1873f4aa2a92a286037bfe9739a8fc1aa547c235234e7",
-      "bytes": 61135,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsAntichain.interior_eq_empty",
     "mathlib:Monotone.countable_not_continuousAt",
@@ -1687,5 +1671,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightLim.lean\",null,null,\"Monotone.countable_not_continuousAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightLim.lean\",null,null,\"Monotone.tendsto_leftLim_within\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightLim.lean\",null,null,\"leftLim_eq_of_eq_bot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81227,
+      "path": "data/train/p0a/mathlib-001940-0000-c1b25c2cb3cdbd83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c1b25c2cb3cdbd83e8438426381b2c8eb109ea412e8d8bf60e7604b35b189356"
+    },
+    {
+      "bytes": 61135,
+      "path": "data/dev/p0a/mathlib-001940-0000-1cd6c04a45b55731.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1cd6c04a45b5573169c1873f4aa2a92a286037bfe9739a8fc1aa547c235234e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001941.json b/manifests/batches/mathlib/001941.json
index b2c186314528e9329489c37cec48ed144afd0cc1..5eba42b8cc6a7d5635717d699f4d7b5be0e93680 100644
--- a/manifests/batches/mathlib/001941.json
+++ b/manifests/batches/mathlib/001941.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001941",
   "batch_fingerprint": "02dd375fdb3d09cd6b3a871abae7ec6de59e7bd561fbd0cb292e854a1cff5861",
   "evidence": {
@@ -3373,29 +3372,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001941-0000-82d94e1d0e85f06e.parquet",
-      "sha256": "82d94e1d0e85f06ef46761c9174a48e5cd8b4008cffa5103ed86e2964caf36e9",
-      "bytes": 106408,
-      "rows": 26,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001941-0000-307e1c6bd30e7291.parquet",
-      "sha256": "307e1c6bd30e729108f97f74cae217f4f46b6847a1972e56ec40c393348842db",
-      "bytes": 58017,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001941-0000-2ff44c6b52e76b67.parquet",
-      "sha256": "2ff44c6b52e76b674faf77495f510d2b0b8d736504b0bdd5f79dc40c94dc9874",
-      "bytes": 65542,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Tendsto.add_atTop",
     "mathlib:Filter.Tendsto.atBot_add",
@@ -3429,5 +3406,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightNhds.lean\",null,null,\"nhds_basis_abs_sub_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightNhds.lean\",null,null,\"nhds_basis_zero_abs_sub_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/LeftRightNhds.lean\",null,null,\"orderTopology_of_nhds_abs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106408,
+      "path": "data/train/p9b/mathlib-001941-0000-82d94e1d0e85f06e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "82d94e1d0e85f06ef46761c9174a48e5cd8b4008cffa5103ed86e2964caf36e9"
+    },
+    {
+      "bytes": 58017,
+      "path": "data/dev/p9b/mathlib-001941-0000-307e1c6bd30e7291.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "307e1c6bd30e729108f97f74cae217f4f46b6847a1972e56ec40c393348842db"
+    },
+    {
+      "bytes": 65542,
+      "path": "data/internal_test/p9b/mathlib-001941-0000-2ff44c6b52e76b67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2ff44c6b52e76b674faf77495f510d2b0b8d736504b0bdd5f79dc40c94dc9874"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001942.json b/manifests/batches/mathlib/001942.json
index 87c98ca936c4e965a9a825cca84dec8cc95591cd..cbb1fa92c09715d5c8b92096d85d4795fa81ae16 100644
--- a/manifests/batches/mathlib/001942.json
+++ b/manifests/batches/mathlib/001942.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001942",
   "batch_fingerprint": "cba3eecca4ef1cebb7c89f98e4f78a45442bd3b95d0fb0c2fa044dcce93ee48e",
   "evidence": {
@@ -1614,22 +1613,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001942-0000-b1d876cd4542da56.parquet",
-      "sha256": "b1d876cd4542da561895b6646012c3b0c0c9274b0639290c24755245dc583091",
-      "bytes": 98932,
-      "rows": 24,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001942-0000-ace933c4c3c07e50.parquet",
-      "sha256": "ace933c4c3c07e50881aad0d060fef9cc1c80bdd5959dc292799132a576e418f",
-      "bytes": 61308,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Antitone.map_iInf_of_continuousAt'",
     "mathlib:Antitone.map_iSup_of_continuousAt'",
@@ -1657,5 +1641,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Monotone.lean\",null,null,\"Monotone.map_iInf_of_continuousAt'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Monotone.lean\",null,null,\"Monotone.map_iSup_of_continuousAt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/Monotone.lean\",null,null,\"Monotone.map_iSup_of_continuousAt'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98932,
+      "path": "data/train/pfb/mathlib-001942-0000-b1d876cd4542da56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b1d876cd4542da561895b6646012c3b0c0c9274b0639290c24755245dc583091"
+    },
+    {
+      "bytes": 61308,
+      "path": "data/dev/pfb/mathlib-001942-0000-ace933c4c3c07e50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ace933c4c3c07e50881aad0d060fef9cc1c80bdd5959dc292799132a576e418f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001943.json b/manifests/batches/mathlib/001943.json
index 3b55bb8f05176e44aa9f5fbb3733ec53dca5285b..e471c9b4e012ecea4b4a0165a0aa62e15cc2a5d3 100644
--- a/manifests/batches/mathlib/001943.json
+++ b/manifests/batches/mathlib/001943.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001943",
   "batch_fingerprint": "b64bc5844fd6bf9a31f319fbb9d593f3a6e153c4c940042b08e3f51c42777a03",
   "evidence": {
@@ -1289,22 +1288,7 @@
     "validation_rejected_proofs": 5,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001943-0000-c1582bd180c4e2ff.parquet",
-      "sha256": "c1582bd180c4e2ff95e785ddcbca51c0017b98cd01682913ee3dd671dfc6fa5b",
-      "bytes": 75618,
-      "rows": 15,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001943-0000-b148e10070d6f52d.parquet",
-      "sha256": "b148e10070d6f52da4b8087302334651ce38ca9fee7451d80b61dd532347d36f",
-      "bytes": 38284,
-      "rows": 1,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Monotone.continuous_of_denseRange",
     "mathlib:continuousWithinAt_right_of_monotoneOn_of_closure_image_mem_nhdsWithin",
@@ -1328,5 +1312,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/MonotoneConvergence.lean\",null,null,\"tendsto_atTop_ciSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/MonotoneConvergence.lean\",null,null,\"tendsto_atTop_isGLB\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/MonotoneConvergence.lean\",null,null,\"tendsto_atTop_isLUB\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75618,
+      "path": "data/train/pb7/mathlib-001943-0000-c1582bd180c4e2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c1582bd180c4e2ff95e785ddcbca51c0017b98cd01682913ee3dd671dfc6fa5b"
+    },
+    {
+      "bytes": 38284,
+      "path": "data/internal_test/pb7/mathlib-001943-0000-b148e10070d6f52d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b148e10070d6f52da4b8087302334651ce38ca9fee7451d80b61dd532347d36f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001944.json b/manifests/batches/mathlib/001944.json
index 5e5705ece55db43cbc81962c351c1374d090417c..242417ded50f2a7eb3da1219ad5d27796edd7e22 100644
--- a/manifests/batches/mathlib/001944.json
+++ b/manifests/batches/mathlib/001944.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001944",
   "batch_fingerprint": "0bb46e6d604df0d85db3737e9a3748bcba8cdb2533efff5642653b2da525e968",
   "evidence": {
@@ -3475,22 +3474,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001944-0000-68d65639302cfc18.parquet",
-      "sha256": "68d65639302cfc18ce33a01135b577520b8c27f81ba1a06102fdb39bce2645a0",
-      "bytes": 149970,
-      "rows": 47,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001944-0000-582ea8f420bca75b.parquet",
-      "sha256": "582ea8f420bca75b2cacb9801b232ea012020610418d9c0b1e0717757f5e3c68",
-      "bytes": 43472,
-      "rows": 4,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.min",
     "mathlib:Dense.Ioi_eq_biUnion",
@@ -3558,5 +3542,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/OrderClosed.lean\",null,null,\"isOpen_lt\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/OrderClosed.lean\",null,null,\"lowerBounds_closure\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/OrderClosed.lean\",null,null,\"upperBounds_closure\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149970,
+      "path": "data/train/pa2/mathlib-001944-0000-68d65639302cfc18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "68d65639302cfc18ce33a01135b577520b8c27f81ba1a06102fdb39bce2645a0"
+    },
+    {
+      "bytes": 43472,
+      "path": "data/internal_test/pa2/mathlib-001944-0000-582ea8f420bca75b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "582ea8f420bca75b2cacb9801b232ea012020610418d9c0b1e0717757f5e3c68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001945.json b/manifests/batches/mathlib/001945.json
index 46187b8f19434716dcbf383043cba00735b50790..352421e5783a6f6a0ac88e387390fc4540324894 100644
--- a/manifests/batches/mathlib/001945.json
+++ b/manifests/batches/mathlib/001945.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001945",
   "batch_fingerprint": "f745b025ce93773ac53fe37f74f2312136d84afd17c803865acf3ea9947cb866",
   "evidence": {
@@ -258,15 +257,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001945-0000-227ce0395ab06688.parquet",
-      "sha256": "227ce0395ab0668840def56d10bd3e4c2fbecfeff969b201ebf57af0585769a3",
-      "bytes": 60535,
-      "rows": 6,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAt.partialSups",
     "mathlib:ContinuousWithinAt.partialSups",
@@ -278,5 +269,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/PartialSups.lean\",null,null,\"ContinuousWithinAt.partialSups\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/PartialSups.lean\",null,null,\"Filter.Tendsto.partialSups\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/PartialSups.lean\",null,null,\"Filter.Tendsto.partialSups_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 60535,
+      "path": "data/train/pdf/mathlib-001945-0000-227ce0395ab06688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "227ce0395ab0668840def56d10bd3e4c2fbecfeff969b201ebf57af0585769a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001946.json b/manifests/batches/mathlib/001946.json
index e28bbd0d1a31b93ad020003796b4bb79297b7679..96cf184ee5aa2919684e6de6a48c508f6b3c67da 100644
--- a/manifests/batches/mathlib/001946.json
+++ b/manifests/batches/mathlib/001946.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001946",
   "batch_fingerprint": "2780dc7a1ebc4430e1500131c9adbec5cb6effdd948395872be4cbc2ef974afb",
   "evidence": {
@@ -855,22 +854,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001946-0000-6ff3e2aec05489c9.parquet",
-      "sha256": "6ff3e2aec05489c92a69b3c9291a4845f4c113587bfc08d14aa0fb35ad08446c",
-      "bytes": 73296,
-      "rows": 19,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001946-0000-3c1b2af74417db77.parquet",
-      "sha256": "3c1b2af74417db77785040add90aa6041a2011b97b7c14b0096d871a754e2ad8",
-      "bytes": 31437,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:DirSupInacc.union",
     "mathlib:Topology.IsScott.isClosed_iff_isLowerSet_and_dirSupClosed",
@@ -900,5 +884,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/ScottTopology.lean\",null,null,\"dirSupClosed_iff_forall_sSup\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/ScottTopology.lean\",null,null,\"dirSupInacc_compl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/ScottTopology.lean\",null,null,\"dirSupInacc_iff_forall_sSup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73296,
+      "path": "data/train/pd2/mathlib-001946-0000-6ff3e2aec05489c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6ff3e2aec05489c92a69b3c9291a4845f4c113587bfc08d14aa0fb35ad08446c"
+    },
+    {
+      "bytes": 31437,
+      "path": "data/dev/pd2/mathlib-001946-0000-3c1b2af74417db77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3c1b2af74417db77785040add90aa6041a2011b97b7c14b0096d871a754e2ad8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001947.json b/manifests/batches/mathlib/001947.json
index 8b2ef7c1e6880a26c28e5b4f3e8fee367cbaaecf..f601b3716a46d90eca65bd7b7286023783744a14 100644
--- a/manifests/batches/mathlib/001947.json
+++ b/manifests/batches/mathlib/001947.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001947",
   "batch_fingerprint": "6ab5985a8d2888151ea5b80dd37f3530e37061fbb5ebe287b490034c1c1bd353",
   "evidence": {
@@ -1076,29 +1075,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001947-0000-60bb7e0740666138.parquet",
-      "sha256": "60bb7e07406661384873359c1c8790b798494c844a5cf4c709a032be6cab4bc2",
-      "bytes": 92794,
-      "rows": 28,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001947-0000-554e04dfa3854ba0.parquet",
-      "sha256": "554e04dfa3854ba08f454704651a0de66f7aba74ac4f0013ecefbce4027d6115",
-      "bytes": 44266,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001947-0000-f9f8fae708e4e52b.parquet",
-      "sha256": "f9f8fae708e4e52b89493ab4574f183d06da65b209ca5d8d4c8125ab0159eacf",
-      "bytes": 42645,
-      "rows": 1,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Set.compl_section_ordSeparatingSet_mem_nhds",
     "mathlib:Set.compl_section_ordSeparatingSet_mem_nhdsWithin_Iic",
@@ -1134,5 +1111,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/UpperLowerSetTopology.lean\",null,null,\"Topology.IsUpperSet.upperSet_le_upper\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/UpperLowerSetTopology.lean\",null,null,\"Topology.WithLowerSet.toLowerSet_specializes_toLowerSet\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Order/UpperLowerSetTopology.lean\",null,null,\"Topology.WithUpperSet.toUpperSet_specializes_toUpperSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92794,
+      "path": "data/train/p8c/mathlib-001947-0000-60bb7e0740666138.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "60bb7e07406661384873359c1c8790b798494c844a5cf4c709a032be6cab4bc2"
+    },
+    {
+      "bytes": 44266,
+      "path": "data/dev/p8c/mathlib-001947-0000-554e04dfa3854ba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "554e04dfa3854ba08f454704651a0de66f7aba74ac4f0013ecefbce4027d6115"
+    },
+    {
+      "bytes": 42645,
+      "path": "data/internal_test/p8c/mathlib-001947-0000-f9f8fae708e4e52b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f9f8fae708e4e52b89493ab4574f183d06da65b209ca5d8d4c8125ab0159eacf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001948.json b/manifests/batches/mathlib/001948.json
index a984638eaa9f7d6019190f0982bdf409e4d4ea9d..b21f3a7f7684287c0d7e74f6feef52b404445828 100644
--- a/manifests/batches/mathlib/001948.json
+++ b/manifests/batches/mathlib/001948.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001948",
   "batch_fingerprint": "237ea0aad24eede33c1d29e010495376223059a9dc9f54326794777212fd1595",
   "evidence": {
@@ -3738,29 +3737,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001948-0000-f5d1d6e7e444d006.parquet",
-      "sha256": "f5d1d6e7e444d006e020f2d1b4d59393302bf55d1f1e20b49b88e72e8016a686",
-      "bytes": 258288,
-      "rows": 67,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001948-0000-f70dada11dc91c23.parquet",
-      "sha256": "f70dada11dc91c23f6fc12f8930ba0d5110a8f3123e7781e4e39158b59469c73",
-      "bytes": 51513,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001948-0000-b1f1e65ce51d63f7.parquet",
-      "sha256": "b1f1e65ce51d63f7487959ac70bec0418143e01bf239f3b2a112794195537f06",
-      "bytes": 56426,
-      "rows": 7,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Homeomorph.transPartialHomeomorph_trans",
     "mathlib:Homeomorph.trans_transPartialHomeomorph",
@@ -3850,5 +3827,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/PartialHomeomorph.lean\",null,null,\"PartialHomeomorph.trans_of_set'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/PartialHomeomorph.lean\",null,null,\"PartialHomeomorph.trans_transHomeomorph\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/PartialHomeomorph.lean\",null,null,\"TopologicalSpace.Opens.partialHomeomorphSubtypeCoe_target\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258288,
+      "path": "data/train/p6c/mathlib-001948-0000-f5d1d6e7e444d006.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "f5d1d6e7e444d006e020f2d1b4d59393302bf55d1f1e20b49b88e72e8016a686"
+    },
+    {
+      "bytes": 51513,
+      "path": "data/dev/p6c/mathlib-001948-0000-f70dada11dc91c23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f70dada11dc91c23f6fc12f8930ba0d5110a8f3123e7781e4e39158b59469c73"
+    },
+    {
+      "bytes": 56426,
+      "path": "data/internal_test/p6c/mathlib-001948-0000-b1f1e65ce51d63f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b1f1e65ce51d63f7487959ac70bec0418143e01bf239f3b2a112794195537f06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001949.json b/manifests/batches/mathlib/001949.json
index 5a36d6b7134ef66b36a38b82d058783236c0050f..dccd0d7a676b1732ad984c408e8fef7f152f4a97 100644
--- a/manifests/batches/mathlib/001949.json
+++ b/manifests/batches/mathlib/001949.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001949",
   "batch_fingerprint": "798bffc7c51eaaceee11cc0a2b2ea06aac65dd1a2c0419799ab7e258b018fc74",
   "evidence": {
@@ -1861,29 +1860,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001949-0000-862dec3fe87d0ae4.parquet",
-      "sha256": "862dec3fe87d0ae4e90316f0a26c4428cbedbffc3dcbc851905b8cf823a6672f",
-      "bytes": 226471,
-      "rows": 60,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001949-0000-e05a77d1e6b8c94a.parquet",
-      "sha256": "e05a77d1e6b8c94a540ba0034434f7dc46640e4c69b1e2d87cd5e1cc06f274af",
-      "bytes": 63506,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001949-0000-f87c407a4e91d88d.parquet",
-      "sha256": "f87c407a4e91d88d9173b636932f3ae0c733d3ad4406345eed37ca0c5bacb40b",
-      "bytes": 51095,
-      "rows": 1,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BumpCovering.continuous_toPOUFun",
     "mathlib:BumpCovering.exists_finset_toPOUFun_eventuallyEq",
@@ -1927,5 +1904,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Perfect.lean\",null,null,\"Preperfect.open_inter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Perfect.lean\",null,null,\"perfectSpace_iff_forall_not_isolated\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Perfect.lean\",null,null,\"preperfect_iff_nhds\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226471,
+      "path": "data/train/pf2/mathlib-001949-0000-862dec3fe87d0ae4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "862dec3fe87d0ae4e90316f0a26c4428cbedbffc3dcbc851905b8cf823a6672f"
+    },
+    {
+      "bytes": 63506,
+      "path": "data/dev/pf2/mathlib-001949-0000-e05a77d1e6b8c94a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e05a77d1e6b8c94a540ba0034434f7dc46640e4c69b1e2d87cd5e1cc06f274af"
+    },
+    {
+      "bytes": 51095,
+      "path": "data/internal_test/pf2/mathlib-001949-0000-f87c407a4e91d88d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f87c407a4e91d88d9173b636932f3ae0c733d3ad4406345eed37ca0c5bacb40b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001950.json b/manifests/batches/mathlib/001950.json
index fcaa6e3964c6fc9bcabaad128a630b43caa1e0e1..8267162a9e158687df183e7653dae775b15bc7fb 100644
--- a/manifests/batches/mathlib/001950.json
+++ b/manifests/batches/mathlib/001950.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001950",
   "batch_fingerprint": "7e1d59fc180f8bcaa5f4c61eacb89771761675553aafced1e03f9beac1b49bd5",
   "evidence": {
@@ -1491,29 +1490,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001950-0000-e5fee1aefbbf0899.parquet",
-      "sha256": "e5fee1aefbbf0899fcc971c2404b16e6d367f24cb5bd7ffd4526e835fe0db26e",
-      "bytes": 79410,
-      "rows": 20,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001950-0000-ec835a8167b4a37b.parquet",
-      "sha256": "ec835a8167b4a37b5dde4beb8c19c37db508116d253cb0963b64bf74ac2ed004",
-      "bytes": 70825,
-      "rows": 8,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001950-0000-393c1e3ec01d1969.parquet",
-      "sha256": "393c1e3ec01d196962c2e3e0ba277c2184fd0fd7e83f34fd6a9cbb1555272b1f",
-      "bytes": 75679,
-      "rows": 14,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Continuous.isProperMap",
     "mathlib:IsProperMap.isClosedMap",
@@ -1541,5 +1518,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/QuasiSeparated.lean\",null,null,\"IsQuasiSeparated.of_subset\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/QuasiSeparated.lean\",null,null,\"OpenEmbedding.isQuasiSeparated_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/QuasiSeparated.lean\",null,null,\"isQuasiSeparated_iff_quasiSeparatedSpace\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79410,
+      "path": "data/train/p59/mathlib-001950-0000-e5fee1aefbbf0899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e5fee1aefbbf0899fcc971c2404b16e6d367f24cb5bd7ffd4526e835fe0db26e"
+    },
+    {
+      "bytes": 70825,
+      "path": "data/dev/p59/mathlib-001950-0000-ec835a8167b4a37b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ec835a8167b4a37b5dde4beb8c19c37db508116d253cb0963b64bf74ac2ed004"
+    },
+    {
+      "bytes": 75679,
+      "path": "data/internal_test/p59/mathlib-001950-0000-393c1e3ec01d1969.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "393c1e3ec01d196962c2e3e0ba277c2184fd0fd7e83f34fd6a9cbb1555272b1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001951.json b/manifests/batches/mathlib/001951.json
index e8ecdfc4835f526cb0a76dab2099b1d4fa4f4ccb..5f0223f5e0af705b660f7ea22a632078d9dc72f0 100644
--- a/manifests/batches/mathlib/001951.json
+++ b/manifests/batches/mathlib/001951.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001951",
   "batch_fingerprint": "7a835760581ad2f9a49380e4cadde79a33790fa3bfe47c10eeb710175ffab6e6",
   "evidence": {
@@ -3794,29 +3793,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001951-0000-a96979b9e8628f05.parquet",
-      "sha256": "a96979b9e8628f051c9be0ed6d045be985f51b2ca7504f2ed63b154e18e6b1ef",
-      "bytes": 161277,
-      "rows": 35,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001951-0000-49bf094a04fc6b3f.parquet",
-      "sha256": "49bf094a04fc6b3f2597b8c443f67ff58a71796248ac37887d740cf014f24364",
-      "bytes": 67164,
-      "rows": 2,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001951-0000-ca1422f3a782e463.parquet",
-      "sha256": "ca1422f3a782e463fee91992684c1f29f9aae65a6e46df47cb3e8dacbca2fc65",
-      "bytes": 56679,
-      "rows": 3,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ContinuousAt.comp_lowerSemicontinuousAt",
     "mathlib:LowerSemicontinuousAt.add'",
@@ -3872,5 +3849,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Semicontinuous.lean\",null,null,\"upperSemicontinuousOn_univ_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Semicontinuous.lean\",null,null,\"upperSemicontinuousWithinAt_univ_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Semicontinuous.lean\",null,null,\"upperSemicontinuous_iff_isClosed_preimage\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161277,
+      "path": "data/train/pa6/mathlib-001951-0000-a96979b9e8628f05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "a96979b9e8628f051c9be0ed6d045be985f51b2ca7504f2ed63b154e18e6b1ef"
+    },
+    {
+      "bytes": 67164,
+      "path": "data/dev/pa6/mathlib-001951-0000-49bf094a04fc6b3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "49bf094a04fc6b3f2597b8c443f67ff58a71796248ac37887d740cf014f24364"
+    },
+    {
+      "bytes": 56679,
+      "path": "data/internal_test/pa6/mathlib-001951-0000-ca1422f3a782e463.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ca1422f3a782e463fee91992684c1f29f9aae65a6e46df47cb3e8dacbca2fc65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001952.json b/manifests/batches/mathlib/001952.json
index beae2cc914986dbac8a0a5e41b239929f75b2b9d..c74f5e69dd4d9591b62dc837fc2c4e61037e0d8d 100644
--- a/manifests/batches/mathlib/001952.json
+++ b/manifests/batches/mathlib/001952.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001952",
   "batch_fingerprint": "556cffc44e9159ef09cda43c9e17f21462692b899e450fa56e74206a06063d92",
   "evidence": {
@@ -7782,29 +7781,7 @@
     "validation_rejected_proofs": 15,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001952-0000-1fd4b178492340a0.parquet",
-      "sha256": "1fd4b178492340a014018034c1fca7b827ef92fc04deacfe462553238219d539",
-      "bytes": 578375,
-      "rows": 170,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/dev/mathlib-001952-0000-4104e30d5379a899.parquet",
-      "sha256": "4104e30d5379a8998e443b656b4d299a930c305cc1d495baf3063d673388e70a",
-      "bytes": 70315,
-      "rows": 14,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001952-0000-62407ef9dc4df5eb.parquet",
-      "sha256": "62407ef9dc4df5eb3e21d35a5ae6226bf751e7be77af11dc4c26442833fa8286",
-      "bytes": 73961,
-      "rows": 14,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosedEmbedding.normalSpace",
     "mathlib:Continuous.mapPullback",
@@ -7998,5 +7975,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Separation.lean\",null,null,\"t2_separation_compact_nhds\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Separation.lean\",null,null,\"tendsto_const_nhds_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Separation.lean\",null,null,\"totallySeparatedSpace_of_t1_of_basis_clopen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 578375,
+      "path": "data/train/p33/mathlib-001952-0000-1fd4b178492340a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 170,
+      "sha256": "1fd4b178492340a014018034c1fca7b827ef92fc04deacfe462553238219d539"
+    },
+    {
+      "bytes": 70315,
+      "path": "data/dev/p33/mathlib-001952-0000-4104e30d5379a899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4104e30d5379a8998e443b656b4d299a930c305cc1d495baf3063d673388e70a"
+    },
+    {
+      "bytes": 73961,
+      "path": "data/internal_test/p33/mathlib-001952-0000-62407ef9dc4df5eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "62407ef9dc4df5eb3e21d35a5ae6226bf751e7be77af11dc4c26442833fa8286"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001953.json b/manifests/batches/mathlib/001953.json
index 9175fe7cfb61dece509b3596b4b105dcf14d9912..c801e845f520a3692dfa638d32983a76a41262dc 100644
--- a/manifests/batches/mathlib/001953.json
+++ b/manifests/batches/mathlib/001953.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001953",
   "batch_fingerprint": "baa6795843315209844ae40dcaba1e74782223d40693dba7a94ee8c19fada42e",
   "evidence": {
@@ -1156,22 +1155,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001953-0000-6f8f8531aacf3353.parquet",
-      "sha256": "6f8f8531aacf33539f69b63dfc15a87218ec439304f9db2a21ee607dd090f35b",
-      "bytes": 68822,
-      "rows": 10,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    },
-    {
-      "path": "data/internal_test/mathlib-001953-0000-9072109eedf144ca.parquet",
-      "sha256": "9072109eedf144ca049201b9a96126ef18ae405f1a39a9842ea432d7b5dd2afa",
-      "bytes": 68761,
-      "rows": 4,
-      "revision": "3b24a1cae9b52e2312093fce28268e8106673ba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SequentialSpace.iSup",
     "mathlib:SequentialSpace.sup",
@@ -1185,5 +1169,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sequences.lean\",null,null,\"UniformSpace.compactSpace_iff_seqCompactSpace\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sequences.lean\",null,null,\"mem_closure_iff_seq_limit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sequences.lean\",null,null,\"tendsto_nhds_iff_seq_tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68822,
+      "path": "data/train/p4c/mathlib-001953-0000-6f8f8531aacf3353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6f8f8531aacf33539f69b63dfc15a87218ec439304f9db2a21ee607dd090f35b"
+    },
+    {
+      "bytes": 68761,
+      "path": "data/internal_test/p4c/mathlib-001953-0000-9072109eedf144ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9072109eedf144ca049201b9a96126ef18ae405f1a39a9842ea432d7b5dd2afa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001954.json b/manifests/batches/mathlib/001954.json
index 9b0390b7bb35d3f60295ac13026e19b1c2350eae..274d35568d7fc35c1ae9ab6676a3d87d2e3f0e53 100644
--- a/manifests/batches/mathlib/001954.json
+++ b/manifests/batches/mathlib/001954.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001954",
   "batch_fingerprint": "c1ec5939623b076c66cc48d1b57034aa61610d88fc96b269628228edb51ddd2f",
   "evidence": {
@@ -1800,29 +1799,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001954-0000-0e75e975cb57f603.parquet",
-      "sha256": "0e75e975cb57f603f30e1c27e95f8932ac649cf9aa6ac0c6682f9358b43484f4",
-      "bytes": 74072,
-      "rows": 15,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001954-0000-b8e34c797fc3ec14.parquet",
-      "sha256": "b8e34c797fc3ec14abfa505b4059aab4ff1fc382dfe54c1cb4ec76c55b96fbb3",
-      "bytes": 46758,
-      "rows": 2,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001954-0000-8570afa295aedd41.parquet",
-      "sha256": "8570afa295aedd41fd732688c5a7bc5d77587c46a30bd633c8e5d82877fb89ed",
-      "bytes": 37014,
-      "rows": 2,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopologicalSpace.Closeds.coe_eq_singleton_of_isAtom",
     "mathlib:TopologicalSpace.Closeds.coe_iInf",
@@ -1846,5 +1823,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Closeds.lean\",null,null,\"TopologicalSpace.Closeds.mem_iInf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Closeds.lean\",null,null,\"TopologicalSpace.Opens.isCoatom_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Compacts.lean\",null,null,\"TopologicalSpace.Compacts.coe_finset_sup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74072,
+      "path": "data/train/p2a/mathlib-001954-0000-0e75e975cb57f603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0e75e975cb57f603f30e1c27e95f8932ac649cf9aa6ac0c6682f9358b43484f4"
+    },
+    {
+      "bytes": 46758,
+      "path": "data/dev/p2a/mathlib-001954-0000-b8e34c797fc3ec14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b8e34c797fc3ec14abfa505b4059aab4ff1fc382dfe54c1cb4ec76c55b96fbb3"
+    },
+    {
+      "bytes": 37014,
+      "path": "data/internal_test/p2a/mathlib-001954-0000-8570afa295aedd41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8570afa295aedd41fd732688c5a7bc5d77587c46a30bd633c8e5d82877fb89ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001955.json b/manifests/batches/mathlib/001955.json
index d85735eef5ee91df27407c991186dac65a66cf43..06a1af9333940926b5bb5703cfd2b2e341d6d772 100644
--- a/manifests/batches/mathlib/001955.json
+++ b/manifests/batches/mathlib/001955.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001955",
   "batch_fingerprint": "e017205c49fa6ebeb20f4d977d0584293f22a3eff3ad4a83daf94a80c01f84f7",
   "evidence": {
@@ -1432,22 +1431,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001955-0000-832424df99b1a968.parquet",
-      "sha256": "832424df99b1a9686b8f1dfe7c4fa86abd2edb8789595f9025de29129503b8a6",
-      "bytes": 58765,
-      "rows": 11,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001955-0000-e2935930967edd40.parquet",
-      "sha256": "e2935930967edd40afce27e9169740c5fd601828861a3a38d56ce3f541691593",
-      "bytes": 42258,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopologicalSpace.Opens.coe_iSup",
     "mathlib:TopologicalSpace.Opens.eq_bot_or_top",
@@ -1465,5 +1449,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Opens.lean\",null,null,\"TopologicalSpace.Opens.ne_bot_iff_nonempty\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Opens.lean\",null,null,\"TopologicalSpace.Opens.not_nonempty_iff_eq_bot\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sets/Opens.lean\",null,null,\"TopologicalSpace.Opens.openEmbedding_of_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58765,
+      "path": "data/train/p29/mathlib-001955-0000-832424df99b1a968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "832424df99b1a9686b8f1dfe7c4fa86abd2edb8789595f9025de29129503b8a6"
+    },
+    {
+      "bytes": 42258,
+      "path": "data/internal_test/p29/mathlib-001955-0000-e2935930967edd40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e2935930967edd40afce27e9169740c5fd601828861a3a38d56ce3f541691593"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001956.json b/manifests/batches/mathlib/001956.json
index 2187ee071ed5540768851222e66f66360f97c8fc..bb0e6d6b3c964f13acd297cea8cd0174830d573d 100644
--- a/manifests/batches/mathlib/001956.json
+++ b/manifests/batches/mathlib/001956.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001956",
   "batch_fingerprint": "053cd539b5645d8b5a1ba5ad37adb5870c2551ee45ef8737300c01495bfc0b31",
   "evidence": {
@@ -151,7 +150,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001957.json b/manifests/batches/mathlib/001957.json
index 7c11c0f91d931d893824bf3021ed78a92a7a5e30..ebe73e415971dbb58be16b124b64ab352592aeb1 100644
--- a/manifests/batches/mathlib/001957.json
+++ b/manifests/batches/mathlib/001957.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001957",
   "batch_fingerprint": "c011b6af585ddde8c6707cecbc883fd0afd800bca559426280dea0a0bd02e751",
   "evidence": {
@@ -398,15 +397,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001957-0000-650ddf8beafeb938.parquet",
-      "sha256": "650ddf8beafeb938c96353a9f3089ea8c2f7795c5202721c54dba0039acfa80e",
-      "bytes": 129474,
-      "rows": 7,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopCat.PrelocalPredicate.sheafifyOf",
     "mathlib:TopCat.isSheaf_of_isLimit",
@@ -416,5 +407,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Limits.lean\",null,null,\"TopCat.isSheaf_of_isLimit\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/LocalPredicate.lean\",null,null,\"TopCat.PrelocalPredicate.sheafifyOf\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/LocalPredicate.lean\",null,null,\"TopCat.stalkToFiber_germ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129474,
+      "path": "data/train/pbd/mathlib-001957-0000-650ddf8beafeb938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "650ddf8beafeb938c96353a9f3089ea8c2f7795c5202721c54dba0039acfa80e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001958.json b/manifests/batches/mathlib/001958.json
index 786945a6bc2ddf6555d92a472fb9ec36590cbd37..b2b54e908ca600239ca11bdbebedfc7eb6026427 100644
--- a/manifests/batches/mathlib/001958.json
+++ b/manifests/batches/mathlib/001958.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001958",
   "batch_fingerprint": "ff65685f75a93285149632d34c3221bfce57c1490a8d8cf8614c1237e1efaebb",
   "evidence": {
@@ -477,7 +476,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001959.json b/manifests/batches/mathlib/001959.json
index de2be7269d4b79b71060138dfc32b4ff3f04f4ff..ca6057db14b6f472bf79949771d03476abb5d28a 100644
--- a/manifests/batches/mathlib/001959.json
+++ b/manifests/batches/mathlib/001959.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001959",
   "batch_fingerprint": "f8f0f69b8a3f7a355df4cc422dda310b8a88b99bb0cf9e403a8893f2a5a197d7",
   "evidence": {
@@ -692,22 +691,7 @@
     "validation_rejected_proofs": 6,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001959-0000-e149a5cef7db068c.parquet",
-      "sha256": "e149a5cef7db068cbca12b3a7e19e4009a50d9f4ea69e58256ae06b6f181c0fa",
-      "bytes": 110933,
-      "rows": 18,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001959-0000-891d49081a918332.parquet",
-      "sha256": "891d49081a918332a0ac6cae5a5bdf37954094e284ea7a9b113bc3cdf9cc9e06",
-      "bytes": 35954,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:TopCat.Presheaf.Pushforward.comp_hom_app",
     "mathlib:TopCat.Presheaf.Pushforward.comp_inv_app",
@@ -731,5 +715,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Presheaf.lean\",null,null,\"TopCat.Presheaf.pushforwardEq_rfl\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Presheaf.lean\",null,null,\"TopCat.Presheaf.pushforward_eq'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Presheaf.lean\",null,null,\"TopCat.Presheaf.restrict_restrict\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110933,
+      "path": "data/train/p9a/mathlib-001959-0000-e149a5cef7db068c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e149a5cef7db068cbca12b3a7e19e4009a50d9f4ea69e58256ae06b6f181c0fa"
+    },
+    {
+      "bytes": 35954,
+      "path": "data/internal_test/p9a/mathlib-001959-0000-891d49081a918332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "891d49081a918332a0ac6cae5a5bdf37954094e284ea7a9b113bc3cdf9cc9e06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001960.json b/manifests/batches/mathlib/001960.json
index 536ac43ad96c9832eb35490c78dba824580677e4..0bbf9f1d94e639ab9b52e609aa66b343fd7b929e 100644
--- a/manifests/batches/mathlib/001960.json
+++ b/manifests/batches/mathlib/001960.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001960",
   "batch_fingerprint": "3dff13dad860c1fe76b61301b79e1307f2fd9653a6470dcfa94e86e0f21d038b",
   "evidence": {
@@ -360,7 +359,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001961.json b/manifests/batches/mathlib/001961.json
index f798e83ba9b5e371cf0895854cb70aaac8ae8f8f..9930b499861c16cd0e7beadfcdb06bc67f2ae41a 100644
--- a/manifests/batches/mathlib/001961.json
+++ b/manifests/batches/mathlib/001961.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001961",
   "batch_fingerprint": "634b7ca43c1048914c5045840ba00d01d221f5486ce89b8096ec929f38b5e0f8",
   "evidence": {
@@ -501,7 +500,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001962.json b/manifests/batches/mathlib/001962.json
index 45125c69c41e0e5ecbb258fcd2cca48d35d34537..2376423d11b451f7456708cbeab0f0c6aae5ceb7 100644
--- a/manifests/batches/mathlib/001962.json
+++ b/manifests/batches/mathlib/001962.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001962",
   "batch_fingerprint": "d4dff8170e457bdd90c6d2dd76e4467b7ae8089fa24778db5fe0822b09ce636d",
   "evidence": {
@@ -1240,29 +1239,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001962-0000-9271b0e75ac85883.parquet",
-      "sha256": "9271b0e75ac858838b4447e6a0c65e2bc01fadb1fe20763eee467f9a215005ff",
-      "bytes": 111621,
-      "rows": 18,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001962-0000-52e7168727080047.parquet",
-      "sha256": "52e7168727080047137680c09b81ddbddb784228c63496d210459c1f57348f75",
-      "bytes": 59316,
-      "rows": 4,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001962-0000-4077dcea23e20eb9.parquet",
-      "sha256": "4077dcea23e20eb97b543345efe6493ba1a8766cd7f791140704277689c2d0f7",
-      "bytes": 66942,
-      "rows": 2,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsOpenMap.coverPreserving",
     "mathlib:OpenEmbedding.compatiblePreserving",
@@ -1280,5 +1257,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/SheafCondition/Sites.lean\",null,null,\"TopCat.Sheaf.extend_hom_app\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/SheafCondition/Sites.lean\",null,null,\"TopCat.Sheaf.hom_ext\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/SheafCondition/Sites.lean\",null,null,\"coverPreserving_opens_map\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111621,
+      "path": "data/train/pb0/mathlib-001962-0000-9271b0e75ac85883.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9271b0e75ac858838b4447e6a0c65e2bc01fadb1fe20763eee467f9a215005ff"
+    },
+    {
+      "bytes": 59316,
+      "path": "data/dev/pb0/mathlib-001962-0000-52e7168727080047.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "52e7168727080047137680c09b81ddbddb784228c63496d210459c1f57348f75"
+    },
+    {
+      "bytes": 66942,
+      "path": "data/internal_test/pb0/mathlib-001962-0000-4077dcea23e20eb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4077dcea23e20eb97b543345efe6493ba1a8766cd7f791140704277689c2d0f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001963.json b/manifests/batches/mathlib/001963.json
index 66bbfe546472d00eed35c888a475311f879126b8..beea2281165df527cef58221e45168144f067a25 100644
--- a/manifests/batches/mathlib/001963.json
+++ b/manifests/batches/mathlib/001963.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001963",
   "batch_fingerprint": "d90a8b30659aec47e752222adc9e5fde9487d58baf29959c5529890b1172f08b",
   "evidence": {
@@ -479,7 +478,8 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/mathlib/001964.json b/manifests/batches/mathlib/001964.json
index 3ed72f95e819e1d809e48cf6ba2754d21f7a7ad2..a971c8afb4c55402206e280a128f0e6457a373dd 100644
--- a/manifests/batches/mathlib/001964.json
+++ b/manifests/batches/mathlib/001964.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001964",
   "batch_fingerprint": "ca018d07c7a9ea531971d75985e1ad525e893cc6cee9ab2b77cd31a9a3c64687",
   "evidence": {
@@ -1842,15 +1841,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001964-0000-f93ae8ef0e5d20fa.parquet",
-      "sha256": "f93ae8ef0e5d20fabf9dfea4a272fa1fa1b31b7a009c24fd40fb08bed476b242",
-      "bytes": 129725,
-      "rows": 13,
-      "revision": "6664e9748a8c6d1a28b4c6b463acabcd7d42d180"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SkyscraperPresheafFunctor.map'_comp",
     "mathlib:SkyscraperPresheafFunctor.map'_id",
@@ -1862,5 +1853,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Skyscraper.lean\",null,null,\"SkyscraperPresheafFunctor.map'_id\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Skyscraper.lean\",null,null,\"StalkSkyscraperPresheafAdjunctionAuxs.fromStalk_to_skyscraper\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sheaves/Skyscraper.lean\",null,null,\"skyscraperPresheaf_eq_pushforward\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129725,
+      "path": "data/train/p5c/mathlib-001964-0000-f93ae8ef0e5d20fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f93ae8ef0e5d20fabf9dfea4a272fa1fa1b31b7a009c24fd40fb08bed476b242"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001965.json b/manifests/batches/mathlib/001965.json
index 3459fc179fb5502c006f24f96ccd05e6391b19c8..1812416348eb9b5cb37b4f3669e02088eceeef3e 100644
--- a/manifests/batches/mathlib/001965.json
+++ b/manifests/batches/mathlib/001965.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001965",
   "batch_fingerprint": "7db680a747c5ea84185170b3ae2bf0f6e5a7e6023b652296ae2cdbbc78dc264e",
   "evidence": {
@@ -1279,22 +1278,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001965-0000-95c2b7eadfd72e9c.parquet",
-      "sha256": "95c2b7eadfd72e9caa16be049bc7c3fa2b007478ea8854402fe5ad0f9b340493",
-      "bytes": 66730,
-      "rows": 16,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001965-0000-db7d4f4980aae225.parquet",
-      "sha256": "db7d4f4980aae225cf9d9b9f27d1a834624979fc74b2ce160d69907a07dbda17",
-      "bytes": 41934,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:ClosedEmbedding.quasiSober",
     "mathlib:IsGenericPoint.disjoint_iff",
@@ -1316,5 +1300,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sober.lean\",null,null,\"genericPoint_specializes\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sober.lean\",null,null,\"isGenericPoint_iff_forall_closed\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Sober.lean\",null,null,\"isGenericPoint_iff_specializes\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66730,
+      "path": "data/train/p7a/mathlib-001965-0000-95c2b7eadfd72e9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "95c2b7eadfd72e9caa16be049bc7c3fa2b007478ea8854402fe5ad0f9b340493"
+    },
+    {
+      "bytes": 41934,
+      "path": "data/dev/p7a/mathlib-001965-0000-db7d4f4980aae225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "db7d4f4980aae225cf9d9b9f27d1a834624979fc74b2ce160d69907a07dbda17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001966.json b/manifests/batches/mathlib/001966.json
index d8e905af945296f9c03d53cb8d26ef37fdbea8f7..21a041d5cfac80757938bff94bfa8862a6b2554b 100644
--- a/manifests/batches/mathlib/001966.json
+++ b/manifests/batches/mathlib/001966.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001966",
   "batch_fingerprint": "2d388e45cb304a46123cac3c9e0c7a5dc2156ad0bb292e5da4a360c3b41dc87d",
   "evidence": {
@@ -678,19 +677,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001966-0000-67a517aa58c8aed4.parquet",
-      "sha256": "67a517aa58c8aed4088d048e7273e04ec4e3dbe664ff320831d788bfb09844b2",
-      "bytes": 44473,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:SpectralMap.cancel_left"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Spectral/Hom.lean\",null,null,\"SpectralMap.cancel_left\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44473,
+      "path": "data/train/pbb/mathlib-001966-0000-67a517aa58c8aed4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "67a517aa58c8aed4088d048e7273e04ec4e3dbe664ff320831d788bfb09844b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001967.json b/manifests/batches/mathlib/001967.json
index 0702f81da211703d7bf70558a1f3dbbf84097357..9cbd9d531cc6c871bc6e42e4f5a895cafb735287 100644
--- a/manifests/batches/mathlib/001967.json
+++ b/manifests/batches/mathlib/001967.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001967",
   "batch_fingerprint": "093228b99eba326ad6bb8a2780c7abf34f777defcd27658287523a9dbeb589fd",
   "evidence": {
@@ -1773,29 +1772,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001967-0000-1ddfb40c9021da6b.parquet",
-      "sha256": "1ddfb40c9021da6b2924ec48d4011d54563ecd6466e267cc7f65becab768d6df",
-      "bytes": 189730,
-      "rows": 62,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001967-0000-252959d9fd311d86.parquet",
-      "sha256": "252959d9fd311d86b8a59ff456a871ed85ac0d725a5fc674cb4348868e30644e",
-      "bytes": 34298,
-      "rows": 4,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001967-0000-0b7b5a940be2c65d.parquet",
-      "sha256": "0b7b5a940be2c65d6efd3008e83d260aef60840c43ec2596f027a9bdeb7f182e",
-      "bytes": 45634,
-      "rows": 2,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:HasCompactMulSupport.comp_closedEmbedding",
     "mathlib:HasCompactMulSupport.isCompact_preimage",
@@ -1843,5 +1820,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Support.lean\",null,null,\"isCompact_range_of_mulSupport_subset_isCompact\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Support.lean\",null,null,\"mulTSupport_eq_empty_iff\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/Support.lean\",null,null,\"not_mem_mulTSupport_iff_eventuallyEq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189730,
+      "path": "data/train/p30/mathlib-001967-0000-1ddfb40c9021da6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "1ddfb40c9021da6b2924ec48d4011d54563ecd6466e267cc7f65becab768d6df"
+    },
+    {
+      "bytes": 34298,
+      "path": "data/dev/p30/mathlib-001967-0000-252959d9fd311d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "252959d9fd311d86b8a59ff456a871ed85ac0d725a5fc674cb4348868e30644e"
+    },
+    {
+      "bytes": 45634,
+      "path": "data/internal_test/p30/mathlib-001967-0000-0b7b5a940be2c65d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0b7b5a940be2c65d6efd3008e83d260aef60840c43ec2596f027a9bdeb7f182e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001968.json b/manifests/batches/mathlib/001968.json
index 17e2023fe395fc490b4a9523a38a7ce51d448d6a..efc20912bd5bf47fa23e52eaafa91e48339f58f9 100644
--- a/manifests/batches/mathlib/001968.json
+++ b/manifests/batches/mathlib/001968.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001968",
   "batch_fingerprint": "c1e3817d11f3513218ad6eeebee5e57efb793e503b891e1b23ba5a1c8c72bc1e",
   "evidence": {
@@ -1379,15 +1378,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001968-0000-f7bc827b0c52fc14.parquet",
-      "sha256": "f7bc827b0c52fc14a02395b8ff1621117858a74434af0590704edb49522bc607",
-      "bytes": 78208,
-      "rows": 13,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:BoundedContinuousFunction.exists_extension_norm_eq_of_closedEmbedding",
     "mathlib:BoundedContinuousFunction.exists_forall_mem_restrict_eq_of_closed",
@@ -1401,5 +1392,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/TietzeExtension.lean\",null,null,\"ContinuousMap.exists_extension'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/TietzeExtension.lean\",null,null,\"TietzeExtension.of_homeo\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/TietzeExtension.lean\",null,null,\"TietzeExtension.of_retract\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78208,
+      "path": "data/train/p4c/mathlib-001968-0000-f7bc827b0c52fc14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f7bc827b0c52fc14a02395b8ff1621117858a74434af0590704edb49522bc607"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001969.json b/manifests/batches/mathlib/001969.json
index d227d7ace6a9a35723bf4481d113ed6a7b24fa93..1991fffd0024acbd9e101600970974ee8a88dc61 100644
--- a/manifests/batches/mathlib/001969.json
+++ b/manifests/batches/mathlib/001969.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001969",
   "batch_fingerprint": "95930e791edafc6494b5735151d892d3b989abfb385aaae601d387c26efc039f",
   "evidence": {
@@ -1547,22 +1546,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001969-0000-62d45ea7188d658b.parquet",
-      "sha256": "62d45ea7188d658bf6cdec4ac8f83220c8227032829aa92bb8ce03bec675cf90",
-      "bytes": 109477,
-      "rows": 26,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001969-0000-3b41038d939bf96c.parquet",
-      "sha256": "3b41038d939bf96c97c14458b2b9d1b90a9249a9532352011a8e90550ce4deaa",
-      "bytes": 72038,
-      "rows": 5,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:AbstractCompletion.extend_coe",
     "mathlib:AbstractCompletion.extend_map",
@@ -1588,5 +1572,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Ascoli.lean\",null,null,\"EquicontinuousOn.isClosed_range_uniformOnFun_iff_pi\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Ascoli.lean\",null,null,\"EquicontinuousOn.tendsto_uniformOnFun_iff_pi'\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Ascoli.lean\",null,null,\"EquicontinuousOn.uniformInducing_uniformOnFun_iff_pi'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109477,
+      "path": "data/train/p56/mathlib-001969-0000-62d45ea7188d658b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "62d45ea7188d658bf6cdec4ac8f83220c8227032829aa92bb8ce03bec675cf90"
+    },
+    {
+      "bytes": 72038,
+      "path": "data/internal_test/p56/mathlib-001969-0000-3b41038d939bf96c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3b41038d939bf96c97c14458b2b9d1b90a9249a9532352011a8e90550ce4deaa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001970.json b/manifests/batches/mathlib/001970.json
index 8a472c1a66a49944178136a309bdbeeb7bea8056..1d80b242df2df15f1ee8c31187c4faf971211a47 100644
--- a/manifests/batches/mathlib/001970.json
+++ b/manifests/batches/mathlib/001970.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001970",
   "batch_fingerprint": "cddbf2a364b82ea40fa4aa214a0c2001ba24f27053970e83ff799dbb84f43af1",
   "evidence": {
@@ -7046,29 +7045,7 @@
     "validation_rejected_proofs": 13,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001970-0000-48b7dd23167561de.parquet",
-      "sha256": "48b7dd23167561dee74946fb228c841bb8f1feb0aaaa8d828956b29d3b5da38f",
-      "bytes": 652941,
-      "rows": 193,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001970-0000-84be51365d1afdfe.parquet",
-      "sha256": "84be51365d1afdfed9560439694a29498ba406ddf1f315ca2ade6b079e19d2da",
-      "bytes": 60415,
-      "rows": 10,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001970-0000-0b3349fe9e8b66da.parquet",
-      "sha256": "0b3349fe9e8b66dae60aa24d99f67d10a45ad22ca62c58ffec177c7096dcaab1",
-      "bytes": 74956,
-      "rows": 18,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cauchy.prod",
     "mathlib:Cauchy.ultrafilter_of",
@@ -7290,5 +7267,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Cauchy.lean\",null,null,\"le_nhds_of_cauchy_adhp_aux\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Cauchy.lean\",null,null,\"totallyBounded_iff_ultrafilter\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Cauchy.lean\",null,null,\"totallyBounded_of_forall_symm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 652941,
+      "path": "data/train/pc6/mathlib-001970-0000-48b7dd23167561de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 193,
+      "sha256": "48b7dd23167561dee74946fb228c841bb8f1feb0aaaa8d828956b29d3b5da38f"
+    },
+    {
+      "bytes": 60415,
+      "path": "data/dev/pc6/mathlib-001970-0000-84be51365d1afdfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "84be51365d1afdfed9560439694a29498ba406ddf1f315ca2ade6b079e19d2da"
+    },
+    {
+      "bytes": 74956,
+      "path": "data/internal_test/pc6/mathlib-001970-0000-0b3349fe9e8b66da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0b3349fe9e8b66dae60aa24d99f67d10a45ad22ca62c58ffec177c7096dcaab1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001971.json b/manifests/batches/mathlib/001971.json
index eb37e99fd3161b76a2b6ab8f5248f6b6655eb874..ec5fb4950446111c333709233f696d9b03bce18b 100644
--- a/manifests/batches/mathlib/001971.json
+++ b/manifests/batches/mathlib/001971.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001971",
   "batch_fingerprint": "28a19cc964b18ac361efd7b97c4fb8a3726710d6c1cdd6d6f5d4ed4ae9451d14",
   "evidence": {
@@ -1072,29 +1071,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001971-0000-00eafa3af73a52b5.parquet",
-      "sha256": "00eafa3af73a52b5eaec7b06e64ceac8ca4043b4426d2a26f87b358fd72010ac",
-      "bytes": 95436,
-      "rows": 22,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001971-0000-5c7e130490dc37e8.parquet",
-      "sha256": "5c7e130490dc37e8d69f20b53025f188679f16110c305866cae0b44c969e8571",
-      "bytes": 69073,
-      "rows": 7,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001971-0000-73c4e1b8e3b8e804.parquet",
-      "sha256": "73c4e1b8e3b8e804c6238b2851bfff650a8b59e656a33ba2327a9c98bd1eb9b3",
-      "bytes": 66517,
-      "rows": 4,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CompactSpace.uniformContinuous_of_continuous",
     "mathlib:CompactSpace.uniformEquicontinuous_of_equicontinuous",
@@ -1118,5 +1095,28 @@
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     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/CompactConvergence.lean\",null,null,\"ContinuousMap.tendsto_of_tendstoLocallyUniformly\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/CompactConvergence.lean\",null,null,\"Filter.HasBasis.compactConvergenceUniformity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95436,
+      "path": "data/train/pe3/mathlib-001971-0000-00eafa3af73a52b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "00eafa3af73a52b5eaec7b06e64ceac8ca4043b4426d2a26f87b358fd72010ac"
+    },
+    {
+      "bytes": 69073,
+      "path": "data/dev/pe3/mathlib-001971-0000-5c7e130490dc37e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5c7e130490dc37e8d69f20b53025f188679f16110c305866cae0b44c969e8571"
+    },
+    {
+      "bytes": 66517,
+      "path": "data/internal_test/pe3/mathlib-001971-0000-73c4e1b8e3b8e804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "73c4e1b8e3b8e804c6238b2851bfff650a8b59e656a33ba2327a9c98bd1eb9b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001972.json b/manifests/batches/mathlib/001972.json
index 13d991b58b4e03b46ce7395ec4dfc574665c3612..3f8f09fd2a6deb7a39dff62ed7dede7d2a910009 100644
--- a/manifests/batches/mathlib/001972.json
+++ b/manifests/batches/mathlib/001972.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001972",
   "batch_fingerprint": "f80b21035b44c14ca34feda2745f37a46fab72ea244b4f5aaab6f5d4f4d9c8c3",
   "evidence": {
@@ -106,15 +105,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001972-0000-e420337e49a725e5.parquet",
-      "sha256": "e420337e49a725e58125cc99290de6d9ec57655286bbdea2a61a4f8926f37803",
-      "bytes": 62494,
-      "rows": 7,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:IsComplete.isClosed",
     "mathlib:Rat.uniformSpace_eq"
@@ -122,5 +113,14 @@
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/CompareReals.lean\",null,null,\"Rat.uniformSpace_eq\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/CompleteSeparated.lean\",null,null,\"IsComplete.isClosed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62494,
+      "path": "data/train/pc1/mathlib-001972-0000-e420337e49a725e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e420337e49a725e58125cc99290de6d9ec57655286bbdea2a61a4f8926f37803"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001973.json b/manifests/batches/mathlib/001973.json
index 2516e6b66e48f4aeb7bab293648faf64c9079d42..868e15d882542e766e7d61f992555f8229d78615 100644
--- a/manifests/batches/mathlib/001973.json
+++ b/manifests/batches/mathlib/001973.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001973",
   "batch_fingerprint": "5372245bcccccd2a62a927f12f2280930b3750cfbf796ede20463b409cec26c9",
   "evidence": {
@@ -2842,29 +2841,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001973-0000-6d5f60031440e2e2.parquet",
-      "sha256": "6d5f60031440e2e203cc1cd2ff1348094aeb622caeba00443762155f3ee041d8",
-      "bytes": 452314,
-      "rows": 125,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001973-0000-bacddc039518dbfa.parquet",
-      "sha256": "bacddc039518dbfaca61e5db855a9fb59c11158901df8b30af6f8ece2bdd799f",
-      "bytes": 69230,
-      "rows": 6,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001973-0000-f0274ff4dc7a490e.parquet",
-      "sha256": "f0274ff4dc7a490e1cf75152807b9acdc6295a54e045714eb1f1812e982762c8",
-      "bytes": 75529,
-      "rows": 8,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:CauchyFilter.cauchyFilter_eq",
     "mathlib:CauchyFilter.extend_pureCauchy",
@@ -2990,5 +2967,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Equicontinuity.lean\",null,null,\"uniformEquicontinuous_iff_range\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Equicontinuity.lean\",null,null,\"uniformEquicontinuous_iff_uniformContinuous\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Equicontinuity.lean\",null,null,\"uniformEquicontinuous_restrict_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 452314,
+      "path": "data/train/p16/mathlib-001973-0000-6d5f60031440e2e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 125,
+      "sha256": "6d5f60031440e2e203cc1cd2ff1348094aeb622caeba00443762155f3ee041d8"
+    },
+    {
+      "bytes": 69230,
+      "path": "data/dev/p16/mathlib-001973-0000-bacddc039518dbfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bacddc039518dbfaca61e5db855a9fb59c11158901df8b30af6f8ece2bdd799f"
+    },
+    {
+      "bytes": 75529,
+      "path": "data/internal_test/p16/mathlib-001973-0000-f0274ff4dc7a490e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f0274ff4dc7a490e1cf75152807b9acdc6295a54e045714eb1f1812e982762c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001974.json b/manifests/batches/mathlib/001974.json
index f68fc1624af932a8aaf31f49a3ac9a4ce7e5b042..1fcf0c0da5173a27c98a19b9ef097acbbbc5c778 100644
--- a/manifests/batches/mathlib/001974.json
+++ b/manifests/batches/mathlib/001974.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001974",
   "batch_fingerprint": "823b96713260dc30ac74f1eb97c70b94dce3c1cd8fc5c7d44e70678e48006ad8",
   "evidence": {
@@ -766,15 +765,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001974-0000-fb7fed368914c11f.parquet",
-      "sha256": "fb7fed368914c11fc7e4aaad342f28eb2c5137b8e37be779397151f466291193",
-      "bytes": 55536,
-      "rows": 7,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Matrix.uniformContinuous",
     "mathlib:Matrix.uniformity",
@@ -786,5 +777,14 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Equiv.lean\",null,null,\"UniformEquiv.uniformInducing\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Matrix.lean\",null,null,\"Matrix.uniformContinuous\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Matrix.lean\",null,null,\"Matrix.uniformity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55536,
+      "path": "data/train/p6e/mathlib-001974-0000-fb7fed368914c11f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fb7fed368914c11fc7e4aaad342f28eb2c5137b8e37be779397151f466291193"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001975.json b/manifests/batches/mathlib/001975.json
index 8e4bf0a64cb5043289b8039bd6e1e8b16e5f5677..30c3e8f1ee22bd55fd00dfc4ffe3506afe76b1b9 100644
--- a/manifests/batches/mathlib/001975.json
+++ b/manifests/batches/mathlib/001975.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001975",
   "batch_fingerprint": "5f55d7eca3b67b0c57e25972ced63880de38012b4a1e5f0ce042971472bdad56",
   "evidence": {
@@ -773,22 +772,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001975-0000-c61f6bcce198ec63.parquet",
-      "sha256": "c61f6bcce198ec631d8bbb650c6cba629555bba36c57a0ef0df0acd59d546fd8",
-      "bytes": 151688,
-      "rows": 33,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001975-0000-cbd725c974ae5ebe.parquet",
-      "sha256": "cbd725c974ae5ebe649c34a45198dfc4ea926058cbb561ef1162604a0d382125",
-      "bytes": 46713,
-      "rows": 4,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Cauchy.pi",
     "mathlib:Filter.Tendsto.inseparable_iff_uniformity",
@@ -834,5 +818,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Separation.lean\",null,null,\"isClosed_range_of_spaced_out\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Separation.lean\",null,null,\"t0Space_iff_ker_uniformity\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/Separation.lean\",null,null,\"t0Space_iff_uniformity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151688,
+      "path": "data/train/p62/mathlib-001975-0000-c61f6bcce198ec63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "c61f6bcce198ec631d8bbb650c6cba629555bba36c57a0ef0df0acd59d546fd8"
+    },
+    {
+      "bytes": 46713,
+      "path": "data/internal_test/p62/mathlib-001975-0000-cbd725c974ae5ebe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cbd725c974ae5ebe649c34a45198dfc4ea926058cbb561ef1162604a0d382125"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001976.json b/manifests/batches/mathlib/001976.json
index b5294bcbc3efafcb379dc2de87cbb5b892277246..57e5071a701db5ddeee6e7438b90bbf95ac6c7e8 100644
--- a/manifests/batches/mathlib/001976.json
+++ b/manifests/batches/mathlib/001976.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001976",
   "batch_fingerprint": "9f90f1306891fb96e2231f4f4fc874ff182406a78e9642b503be6facbb3c1159",
   "evidence": {
@@ -2592,29 +2591,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001976-0000-c065a4af2c1f8af4.parquet",
-      "sha256": "c065a4af2c1f8af4ccd16f5c8059419c569e13ab48c4004bb06dbb1a8de7feb2",
-      "bytes": 742893,
-      "rows": 192,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001976-0000-bcf540586642afa4.parquet",
-      "sha256": "bcf540586642afa44b303fbfbba78a0190a1df3a0d1fc02922df11bf3f47c436",
-      "bytes": 89185,
-      "rows": 16,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001976-0000-aab190a76ae13ba0.parquet",
-      "sha256": "aab190a76ae13ba05debfcfe0800661270ba77ab9c05d9f0e9701ba02d14a02b",
-      "bytes": 108737,
-      "rows": 23,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Filter.Tendsto.tendstoUniformlyOnFilter_const",
     "mathlib:IsOpen.tendstoLocallyUniformlyOn_iff_forall_tendsto",
@@ -2796,5 +2773,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean\",null,null,\"UniformOnFun.uniformContinuous_restrict\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean\",null,null,\"UniformOnFun.uniformContinuous_restrict_toFun\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean\",null,null,\"UniformOnFun.uniformity_eq_of_basis\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 742893,
+      "path": "data/train/pfe/mathlib-001976-0000-c065a4af2c1f8af4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 192,
+      "sha256": "c065a4af2c1f8af4ccd16f5c8059419c569e13ab48c4004bb06dbb1a8de7feb2"
+    },
+    {
+      "bytes": 89185,
+      "path": "data/dev/pfe/mathlib-001976-0000-bcf540586642afa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bcf540586642afa44b303fbfbba78a0190a1df3a0d1fc02922df11bf3f47c436"
+    },
+    {
+      "bytes": 108737,
+      "path": "data/internal_test/pfe/mathlib-001976-0000-aab190a76ae13ba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "aab190a76ae13ba05debfcfe0800661270ba77ab9c05d9f0e9701ba02d14a02b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001977.json b/manifests/batches/mathlib/001977.json
index f74302f807dea1dc1b673fd6406f4e6f776ecbe6..3654f99f6bbf83fe0c3205c326b6cea31b9ae850 100644
--- a/manifests/batches/mathlib/001977.json
+++ b/manifests/batches/mathlib/001977.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001977",
   "batch_fingerprint": "46dfbd98d57118acafa8f9de50a68ce377a123833ac3b1af8bb1539bf9a58864",
   "evidence": {
@@ -1605,29 +1604,7 @@
     "validation_rejected_proofs": 3,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001977-0000-5e88400143ab46bd.parquet",
-      "sha256": "5e88400143ab46bd7ddf12de4ceb04f788c3f5ec71048a6caa39c73f7fbeb701",
-      "bytes": 303184,
-      "rows": 74,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001977-0000-4d4fcad52cae97e7.parquet",
-      "sha256": "4d4fcad52cae97e73828e9feeaedd96ecdd594c5e39bb0c3f517f404363eb053",
-      "bytes": 45818,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001977-0000-37f551e2018f3c97.parquet",
-      "sha256": "37f551e2018f3c97a3a07fe90010b17066c86f65365b06e2e2dca4978f7ac7a0",
-      "bytes": 57607,
-      "rows": 8,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Equiv.uniformEmbedding",
     "mathlib:Filter.HasBasis.uniformEmbedding_iff",
@@ -1715,5 +1692,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UnitInterval.lean\",null,null,\"unitInterval.symm_symm\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UnitInterval.lean\",null,null,\"unitInterval.symm_zero\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UnitInterval.lean\",null,null,\"unitInterval.two_mul_sub_one_mem_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303184,
+      "path": "data/train/p50/mathlib-001977-0000-5e88400143ab46bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "5e88400143ab46bd7ddf12de4ceb04f788c3f5ec71048a6caa39c73f7fbeb701"
+    },
+    {
+      "bytes": 45818,
+      "path": "data/dev/p50/mathlib-001977-0000-4d4fcad52cae97e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4d4fcad52cae97e73828e9feeaedd96ecdd594c5e39bb0c3f517f404363eb053"
+    },
+    {
+      "bytes": 57607,
+      "path": "data/internal_test/p50/mathlib-001977-0000-37f551e2018f3c97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "37f551e2018f3c97a3a07fe90010b17066c86f65365b06e2e2dca4978f7ac7a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001978.json b/manifests/batches/mathlib/001978.json
index 9b96790eb4ead9c0ad56bffbe55d677bdf2631c2..a4ed08c7abd3ed6c6a6d03763bf515b5d01788cf 100644
--- a/manifests/batches/mathlib/001978.json
+++ b/manifests/batches/mathlib/001978.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001978",
   "batch_fingerprint": "4bdee8ce1e1f6cf50acdfb9447cdbacba8be8e9fc5006d93221dd5a616ce6b0b",
   "evidence": {
@@ -1537,22 +1536,7 @@
     "validation_rejected_proofs": 7,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001978-0000-3eeae17655aec2fd.parquet",
-      "sha256": "3eeae17655aec2fdada694febd823afbb654a280ff5dbe1d68be457197a48c58",
-      "bytes": 57302,
-      "rows": 10,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001978-0000-b98e9dfbe9f88716.parquet",
-      "sha256": "b98e9dfbe9f88716934dd7fe19d74d573b9d017c209c607637c68f57243b07b4",
-      "bytes": 39697,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Urysohns.CU.lim_eq_midpoint",
     "mathlib:Urysohns.CU.lim_of_mem_C",
@@ -1564,5 +1548,21 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UrysohnsLemma.lean\",null,null,\"Urysohns.CU.lim_of_mem_C\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UrysohnsLemma.lean\",null,null,\"Urysohns.CU.lim_of_nmem_U\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/UrysohnsLemma.lean\",null,null,\"exists_continuous_nonneg_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57302,
+      "path": "data/train/p57/mathlib-001978-0000-3eeae17655aec2fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3eeae17655aec2fdada694febd823afbb654a280ff5dbe1d68be457197a48c58"
+    },
+    {
+      "bytes": 39697,
+      "path": "data/internal_test/p57/mathlib-001978-0000-b98e9dfbe9f88716.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b98e9dfbe9f88716934dd7fe19d74d573b9d017c209c607637c68f57243b07b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001979.json b/manifests/batches/mathlib/001979.json
index a17b366645f27635552e1013671f5b7b02cfb170..1f10ebb99cccb26172bfd351eb82329ba74b01e4 100644
--- a/manifests/batches/mathlib/001979.json
+++ b/manifests/batches/mathlib/001979.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001979",
   "batch_fingerprint": "0bca19c5464553d254cc619176dc95f79c23411988a84f480d1dddb8a84924e3",
   "evidence": {
@@ -1484,29 +1483,7 @@
     "validation_rejected_proofs": 4,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/mathlib-001979-0000-6e7427a7bdf53508.parquet",
-      "sha256": "6e7427a7bdf535088e410ce4264541a038bad1523a1a181f7f947068bf66451b",
-      "bytes": 286255,
-      "rows": 41,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/dev/mathlib-001979-0000-8d5edadb26cca0b3.parquet",
-      "sha256": "8d5edadb26cca0b3f3bc41ac43ec777e767fad23a735e07a351ff4db7146b2ad",
-      "bytes": 53084,
-      "rows": 1,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    },
-    {
-      "path": "data/internal_test/mathlib-001979-0000-50b20522e14ca26a.parquet",
-      "sha256": "50b20522e14ca26a2a8ad176d769726d27fcbd057c10715d7530c893fd339f1a",
-      "bytes": 74531,
-      "rows": 3,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Bundle.Trivial.trivialization.coordChangeL",
     "mathlib:ContinuousLinearMap.inCoordinates_eq",
@@ -1554,5 +1531,28 @@
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/VectorBundle/Constructions.lean\",null,null,\"Bundle.Trivial.trivialization.coordChangeL\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/VectorBundle/Constructions.lean\",null,null,\"Trivialization.continuousLinearEquivAt_prod\"]",
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/VectorBundle/Constructions.lean\",null,null,\"Trivialization.coordChangeL_prod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286255,
+      "path": "data/train/p72/mathlib-001979-0000-6e7427a7bdf53508.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "6e7427a7bdf535088e410ce4264541a038bad1523a1a181f7f947068bf66451b"
+    },
+    {
+      "bytes": 53084,
+      "path": "data/dev/p72/mathlib-001979-0000-8d5edadb26cca0b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8d5edadb26cca0b3f3bc41ac43ec777e767fad23a735e07a351ff4db7146b2ad"
+    },
+    {
+      "bytes": 74531,
+      "path": "data/internal_test/p72/mathlib-001979-0000-50b20522e14ca26a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "50b20522e14ca26a2a8ad176d769726d27fcbd057c10715d7530c893fd339f1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001980.json b/manifests/batches/mathlib/001980.json
index 759c47d96d0577bddfd86b4ac82deef330d1689a..fe74c72c9322f6d61a0a0e172d883879588495f0 100644
--- a/manifests/batches/mathlib/001980.json
+++ b/manifests/batches/mathlib/001980.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001980",
   "batch_fingerprint": "386db8c1332e9927865a94e08dc51febe716ee5e24da2d00d771662dd56bb907",
   "evidence": {
@@ -391,19 +390,20 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/mathlib-001980-0000-2fc4cae060d4d62d.parquet",
-      "sha256": "2fc4cae060d4d62d1dcf59c0a4ad040cf96c0f63fa20dde64ccfcf5e24e713c4",
-      "bytes": 108409,
-      "rows": 4,
-      "revision": "76af66454ce8713b116e7400f8c36f1a1f8bfafc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "mathlib:Pretrivialization.continuousLinearMapCoordChange_apply"
   ],
   "proof_keys": [
     "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Topology/VectorBundle/Hom.lean\",null,null,\"Pretrivialization.continuousLinearMapCoordChange_apply\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108409,
+      "path": "data/internal_test/p2a/mathlib-001980-0000-2fc4cae060d4d62d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2fc4cae060d4d62d1dcf59c0a4ad040cf96c0f63fa20dde64ccfcf5e24e713c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/mathlib/001981.json b/manifests/batches/mathlib/001981.json
index 7fc03e3e88b77bf2306ba55abb76b34ef22a59f6..55e08e38f7e2bbc05cd09c9a8dba9820de79d4f7 100644
--- a/manifests/batches/mathlib/001981.json
+++ b/manifests/batches/mathlib/001981.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "mathlib/001981",
   "batch_fingerprint": "a6fda1f90fcc931e2a229a5aee61a4d16605691cfad663c23fe8b615d57a52b7",
   "evidence": {
@@ -41,7 +40,8 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [],
-  "proof_keys": []
-}
\ No newline at end of file
+  "proof_keys": [],
+  "shards": []
+}
diff --git a/manifests/batches/numina/000000.json b/manifests/batches/numina/000000.json
index 223e2471f9cf9fe3a36f6922eb187913aff9e33f..c042164846700210c7f487aee742e4da375b99fc 100644
--- a/manifests/batches/numina/000000.json
+++ b/manifests/batches/numina/000000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000000",
   "batch_fingerprint": "59e037603c30ac23163ca8e4dc6fe4d899baa4048a8bf234b4dd043f8e7cc06b",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 60,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000000-0000-197e5c7246e56b45.parquet",
-      "sha256": "197e5c7246e56b45e41b905fbe0b83f9b11ddac387d0defb3f03c12dfa33111e",
-      "bytes": 369643,
-      "rows": 60,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:66fc288f-6119-50bf-adf7-58c0dd297e11",
     "numina:75dd8bba-5a00-5353-8ddb-6a95ea2fec1f",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000002.lean\",\"21096a7cdfe02b52b18ecb2ca977264d7ee0fc5f322de60e2bfdaee9822a1bea\",0,\"algebra_4015\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000003.lean\",\"0fbd954c463d1bce7e001076c5354c4b6b70a99b95944a56f727773656e153f1\",0,\"algebra_4016\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000004.lean\",\"c97b1ffe29d1173369fd13eb16b36151f869e6cad7c9e97980325763b4fa677f\",0,\"algebra_4017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369643,
+      "path": "data/train/p7f/numina-000000-0000-197e5c7246e56b45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "197e5c7246e56b45e41b905fbe0b83f9b11ddac387d0defb3f03c12dfa33111e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000001.json b/manifests/batches/numina/000001.json
index 7f5647e9b3c8deab52a3b9dba65804cdce72fabd..4d601e315ca4e73df8aced925162245c241f64a4 100644
--- a/manifests/batches/numina/000001.json
+++ b/manifests/batches/numina/000001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000001",
   "batch_fingerprint": "ddde25bf51c01969ab3165f7d7bf04eac7691cf3392c81e63e71238704051818",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 25,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000001-0000-61cb316995918ff7.parquet",
-      "sha256": "61cb316995918ff73889cb1b50f97500ef8b42a9138d100cef31ad04cb876803",
-      "bytes": 230357,
-      "rows": 23,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000001-0000-ec6c9f4b32117704.parquet",
-      "sha256": "ec6c9f4b3211770495fab9496ebd8cd245c0eeed64c4fbd8ba2b01966564a106",
-      "bytes": 35969,
-      "rows": 1,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000001-0001-bf21c1123d986223.parquet",
-      "sha256": "bf21c1123d986223b7ad2ca25d9e6da747600fda0f6598ce03be3948f73438d1",
-      "bytes": 1384280,
-      "rows": 1,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:296bdb56-e181-55b4-b0cc-a6e351572ad9",
     "numina:2b3d1c1f-26a4-5c56-add3-313a92c19676",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000007.lean\",\"59b1497442edc8618f39acf7bcfe50d012e8845f578f9ce6a2132984b8a778a9\",1,\"int_val_poly\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000008.lean\",\"a4874b0807da79b2b334031908f1e6406888c185f7953233c5722bfc177b81ed\",0,\"algebra_4021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000009.lean\",\"a53ec040965258d769e97ad8c17f018ad1145f15fead0db205bedc7bf25ac048\",1,\"algebra_4022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230357,
+      "path": "data/train/p62/numina-000001-0000-61cb316995918ff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "61cb316995918ff73889cb1b50f97500ef8b42a9138d100cef31ad04cb876803"
+    },
+    {
+      "bytes": 35969,
+      "path": "data/internal_test/p62/numina-000001-0000-ec6c9f4b32117704.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ec6c9f4b3211770495fab9496ebd8cd245c0eeed64c4fbd8ba2b01966564a106"
+    },
+    {
+      "bytes": 1384280,
+      "path": "data/internal_test/p62/numina-000001-0001-bf21c1123d986223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bf21c1123d986223b7ad2ca25d9e6da747600fda0f6598ce03be3948f73438d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000002.json b/manifests/batches/numina/000002.json
index 8dd69ff28064f76f67efa5cc001cbe489d924b45..4c68dadb9c0844f32d13b463f886a0fb6f79c5a6 100644
--- a/manifests/batches/numina/000002.json
+++ b/manifests/batches/numina/000002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000002",
   "batch_fingerprint": "2b15a2bdfb2da1f04b4b9c790a03743010fb472277eafa5aff913d9fae3c6313",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 44,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000002-0000-03c4b88854ae1b7a.parquet",
-      "sha256": "03c4b88854ae1b7a3a40b8ca3dcad7f3e5fc31448fbf281e223b8c34c688a93f",
-      "bytes": 116117,
-      "rows": 25,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/dev/numina-000002-0000-6ccc4c18f9c0cac3.parquet",
-      "sha256": "6ccc4c18f9c0cac3f518a40bb18af834349471d02f0472f6e66dcea8eccae22c",
-      "bytes": 97257,
-      "rows": 12,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000002-0000-9445658db00ece60.parquet",
-      "sha256": "9445658db00ece60b8ee0b39eaedff430360f25cdeab61476c26688c76e36445",
-      "bytes": 52878,
-      "rows": 7,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a069612-12c5-570a-91cc-6b213866749a",
     "numina:858655a5-3df7-5be6-b5b2-400b9c9a3158",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000012.lean\",\"6f9303199371230d6af086967f446fc44bfcc6e8abec98a6d174f2d42936f889\",0,\"algebra_4025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000013.lean\",\"fdd58da6571d79dac22700db064810847b5d9dc74f206680a8188128de736580\",0,\"algebra_4026\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000014.lean\",\"674ad57a9cbcc3120f0a93f60c0b574993327f434d94f695d10e52f610d55f2d\",2,\"algebra_4027\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116117,
+      "path": "data/train/p01/numina-000002-0000-03c4b88854ae1b7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "03c4b88854ae1b7a3a40b8ca3dcad7f3e5fc31448fbf281e223b8c34c688a93f"
+    },
+    {
+      "bytes": 97257,
+      "path": "data/dev/p01/numina-000002-0000-6ccc4c18f9c0cac3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6ccc4c18f9c0cac3f518a40bb18af834349471d02f0472f6e66dcea8eccae22c"
+    },
+    {
+      "bytes": 52878,
+      "path": "data/internal_test/p01/numina-000002-0000-9445658db00ece60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9445658db00ece60b8ee0b39eaedff430360f25cdeab61476c26688c76e36445"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000003.json b/manifests/batches/numina/000003.json
index 54316efee1b88a2c4ef85960c9b6c939f7e23d35..66cb3b46664530c5cd8a897b7be13c71845c5bdb 100644
--- a/manifests/batches/numina/000003.json
+++ b/manifests/batches/numina/000003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000003",
   "batch_fingerprint": "5fc4f2a3ba0af5b63236c52e82e63212854f3784b3d56ec236266a758f18eae2",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 118,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000003-0000-aff2cb75df3ff6fb.parquet",
-      "sha256": "aff2cb75df3ff6fbfc583906c71b2b8af35dfca9763ee87b11e4713476c0cb2b",
-      "bytes": 552782,
-      "rows": 118,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:221193b0-a0d3-5cd5-ab60-28ac4271669b",
     "numina:33201a4f-9c28-54fa-b7f7-a989ca00460c",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000017.lean\",\"aa7bfead86390b5ce0af599bb49b937fe326e5d82df856f1d5ec251ac5094a7e\",1,\"algebra_4030\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000018.lean\",\"2baf8b1aa7ddbec39fa0a906055aae9eb455e029e33d3a818969e4db24e0e30b\",0,\"algebra_4031\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000019.lean\",\"f7ea37306d73ab283c18775fd5a9985d73e4f611c4fd0f3585a437be7d4242cd\",0,\"algebra_4032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552782,
+      "path": "data/train/p23/numina-000003-0000-aff2cb75df3ff6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 118,
+      "sha256": "aff2cb75df3ff6fbfc583906c71b2b8af35dfca9763ee87b11e4713476c0cb2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000004.json b/manifests/batches/numina/000004.json
index 141b78302553b929a7bb8b87345915b5ec973700..b9118650acae3d68ee2d9735cf93edb44d0ea860 100644
--- a/manifests/batches/numina/000004.json
+++ b/manifests/batches/numina/000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000004",
   "batch_fingerprint": "2a3bba66da2d64110be93aec95976d08ca0d9c5353f15ae6e5fd96eebc81ad2d",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 129,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000004-0000-3e7971fe35d13960.parquet",
-      "sha256": "3e7971fe35d139605ecb2dfe83ea3773eafb79111c1ccb945a869da332669a59",
-      "bytes": 516613,
-      "rows": 104,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/train/numina-000004-0001-f04a6a3f4bd1db74.parquet",
-      "sha256": "f04a6a3f4bd1db74620d3597cd99e304a2232288013401b5319b07c9fe8cb757",
-      "bytes": 275129,
-      "rows": 25,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1eda8138-3341-549d-aee3-0eed710bd7d7",
     "numina:21c956ed-123d-5f17-a4eb-aa758d340859",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000022.lean\",\"e7793653e90a7dbe3bbeb1b9e72d379e721d9fa1e0513d06ee4e1cb5293a48a7\",0,\"algebra_4034\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000023.lean\",\"f1f1a3d0fc2938a9dce2697bf464f3454df8c9b15bbefbb676655315ca639f0d\",0,\"algebra_4035\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000024.lean\",\"ac31741b59edca8da13fa182f938d7bf5343c0d011be78b9deb801ad62cca64a\",0,\"algebra_4036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 516613,
+      "path": "data/train/p11/numina-000004-0000-3e7971fe35d13960.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "3e7971fe35d139605ecb2dfe83ea3773eafb79111c1ccb945a869da332669a59"
+    },
+    {
+      "bytes": 275129,
+      "path": "data/train/p11/numina-000004-0001-f04a6a3f4bd1db74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f04a6a3f4bd1db74620d3597cd99e304a2232288013401b5319b07c9fe8cb757"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000005.json b/manifests/batches/numina/000005.json
index e0038b375f5c95a16ae51166d27fa34a75b6ff19..e66c21dadf99acc96f43dcea70fcb3e44bb724ec 100644
--- a/manifests/batches/numina/000005.json
+++ b/manifests/batches/numina/000005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000005",
   "batch_fingerprint": "39b81a40b07410b1ee3e90d3fd0b280f45d02378fe341da2bf790157c9a68d4a",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 14,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000005-0000-2a7dd38790afdd02.parquet",
-      "sha256": "2a7dd38790afdd027ce5b3cdde6f441d16857cd7d203d02eaa376146266d9463",
-      "bytes": 291740,
-      "rows": 4,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000005-0000-9113637f1d781a05.parquet",
-      "sha256": "9113637f1d781a052d8f060317b29cb9d2197799eb4db546403b39b6997478b6",
-      "bytes": 37199,
-      "rows": 10,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26deec45-b04c-54ab-a7a4-b799fc7ac070",
     "numina:38492b36-b625-5206-889f-d1b9f99571f3",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000027.lean\",\"cd8504b2ef9b268298b25ecf16c8cc5fb2f89568e6dc45b12cd9479ac93c6f91\",1,\"combinatorics_4040_b\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000028.lean\",\"f16a645dee7efd44ebda03572b4453d940747c7ee2006e2bccfcad91e7813c50\",0,\"combinatorics_4056\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000029.lean\",\"3302a15394ea6b3b52cad936c0f9dbd77b892ce6f571090cd932feaf0bdc14d7\",7,\"number_theory_4058\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291740,
+      "path": "data/train/p0f/numina-000005-0000-2a7dd38790afdd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2a7dd38790afdd027ce5b3cdde6f441d16857cd7d203d02eaa376146266d9463"
+    },
+    {
+      "bytes": 37199,
+      "path": "data/internal_test/p0f/numina-000005-0000-9113637f1d781a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9113637f1d781a052d8f060317b29cb9d2197799eb4db546403b39b6997478b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000006.json b/manifests/batches/numina/000006.json
index 5cbcc8861b9f8ab006bba24f0c7d4851b8d054cd..9ab993d175e3c59492eb54545670b161532d03b4 100644
--- a/manifests/batches/numina/000006.json
+++ b/manifests/batches/numina/000006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000006",
   "batch_fingerprint": "c5b3df4d22781c2f37b871834a88d431c6b7ae3887bba9b74cce25c427cbbaef",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000006-0000-32a2c5f362e78dc8.parquet",
-      "sha256": "32a2c5f362e78dc893e3179e8b1bd470deeebc309ec586b48218347de94497d3",
-      "bytes": 219985,
-      "rows": 35,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000006-0000-288a61a5d52efbec.parquet",
-      "sha256": "288a61a5d52efbec8b3813b17c2e5b3aa035d350d5dfb9f8835ba57cc13f5363",
-      "bytes": 32186,
-      "rows": 3,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:099b2c9c-65ef-52a0-a507-51e722a137bc",
     "numina:0a8ff9db-ea81-5f3a-a666-d3cd9ce73b17",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000032.lean\",\"9ceb3dc342d186bf7b8f784302780a657a20e227cf0be6171eb80a9364b7f790\",11,\"number_theory_2_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000033.lean\",\"22b4770ac1b2f311c6097c29b436684f28dd5318b44956d6994c2e68619ed016\",1,\"number_theory_4063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000034.lean\",\"f3f31e9eb50878cc707efbd60d98ce1431acaa363f040b68b3cef81fc13a4056\",1,\"number_theory_4066\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219985,
+      "path": "data/train/pcb/numina-000006-0000-32a2c5f362e78dc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "32a2c5f362e78dc893e3179e8b1bd470deeebc309ec586b48218347de94497d3"
+    },
+    {
+      "bytes": 32186,
+      "path": "data/internal_test/pcb/numina-000006-0000-288a61a5d52efbec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "288a61a5d52efbec8b3813b17c2e5b3aa035d350d5dfb9f8835ba57cc13f5363"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000007.json b/manifests/batches/numina/000007.json
index 7dd653ee2efad9017b921b608a9a7d43195453b2..4a36c79e4316e24f46936599dc39679c7ccc4107 100644
--- a/manifests/batches/numina/000007.json
+++ b/manifests/batches/numina/000007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000007",
   "batch_fingerprint": "d3cf1176e753bcbae27cc98490c114dbeb69d1f634400ebc97a1cfb8f866229d",
   "evidence": {
@@ -41,38 +40,39 @@
       }
     ]
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:5f18b2d5-573e-50de-8401-b593be1b1093",
+    "numina:df866f62-78fe-5b0f-a8a9-ca5373e9436f",
+    "numina:f1184a71-4456-54e8-affb-87fb5bb36ec5"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000035.lean\",\"a4d745b996bcba441f66f024c3c49a905d7e11031baedbc4c6a9b1104b3efc86\",1,\"number_theory_4067\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000037.lean\",\"8d674627ea9747b7b3aba9a7fff55db241a582ea96eaed84fcb815ced11642bb\",1,\"precalculus_4077\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000038.lean\",\"70847abd650f68e09974a88627c664296db70c679432b03e09b26c77f8ca7b63\",0,\"precalculus_4077\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000039.lean\",\"2e3bdcba966837fd0d6b52a65cb6b33607f687d24eb06a7c90341bf655389c96\",5,\"intermediate_algebra_4086\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000007-0000-da935074994f27a3.parquet",
-      "sha256": "da935074994f27a3db6c5e980b15eba1690e022f20ed698db9d1b9248311d920",
       "bytes": 73438,
+      "path": "data/train/p28/numina-000007-0000-da935074994f27a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "da935074994f27a3db6c5e980b15eba1690e022f20ed698db9d1b9248311d920"
     },
     {
-      "path": "data/dev/numina-000007-0000-2eed3ee6a6c0885b.parquet",
-      "sha256": "2eed3ee6a6c0885bcda2b64700851e906bf2dc724466c81881f0793cabd1be97",
       "bytes": 135329,
+      "path": "data/dev/p28/numina-000007-0000-2eed3ee6a6c0885b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "2eed3ee6a6c0885bcda2b64700851e906bf2dc724466c81881f0793cabd1be97"
     },
     {
-      "path": "data/internal_test/numina-000007-0000-a24961645b220877.parquet",
-      "sha256": "a24961645b2208776bafe7b560699dfc3e201dd96b2edab7eee2f71eff57d289",
       "bytes": 52167,
+      "path": "data/internal_test/p28/numina-000007-0000-a24961645b220877.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "a24961645b2208776bafe7b560699dfc3e201dd96b2edab7eee2f71eff57d289"
     }
-  ],
-  "proof_ids": [
-    "numina:5f18b2d5-573e-50de-8401-b593be1b1093",
-    "numina:df866f62-78fe-5b0f-a8a9-ca5373e9436f",
-    "numina:f1184a71-4456-54e8-affb-87fb5bb36ec5"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000035.lean\",\"a4d745b996bcba441f66f024c3c49a905d7e11031baedbc4c6a9b1104b3efc86\",1,\"number_theory_4067\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000037.lean\",\"8d674627ea9747b7b3aba9a7fff55db241a582ea96eaed84fcb815ced11642bb\",1,\"precalculus_4077\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000038.lean\",\"70847abd650f68e09974a88627c664296db70c679432b03e09b26c77f8ca7b63\",0,\"precalculus_4077\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000039.lean\",\"2e3bdcba966837fd0d6b52a65cb6b33607f687d24eb06a7c90341bf655389c96\",5,\"intermediate_algebra_4086\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000008.json b/manifests/batches/numina/000008.json
index b716731b5092a3bb185b74d1a3ffd835a6dab1d0..63897e441872ac078b304564ca1b01d5678093c7 100644
--- a/manifests/batches/numina/000008.json
+++ b/manifests/batches/numina/000008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000008",
   "batch_fingerprint": "829d94dc8b6609e09ca4594314de68171e4e9b7e448faa4391c3a690dd5d8813",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 56,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000008-0000-8dcf66ce33960331.parquet",
-      "sha256": "8dcf66ce3396033135be5a1d1c7660765a978e178c01b88e1230dc499c0d6e1a",
-      "bytes": 334882,
-      "rows": 56,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06467b1e-cc9e-59c6-bc98-bc7fe8dbeb98",
     "numina:9c692d28-98c9-5fbf-bc22-f89f0fbecf43",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000042.lean\",\"725ad263b0996f24af0eb3d48bc1d5055f18f414f77ca3e30c2611afc9381f63\",0,\"Trigonometry_4175\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000043.lean\",\"06cac39ca62bd8ae024b748b50e396e53a2b895de5e8c107458160356217105c\",0,\"Trigonometry_4176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000044.lean\",\"4c52c7d720ba37472f0ae45ede648a6f426aa0d66118b5ccb8eedb2345009e22\",0,\"Arithmetic_4181\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334882,
+      "path": "data/train/pb6/numina-000008-0000-8dcf66ce33960331.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "8dcf66ce3396033135be5a1d1c7660765a978e178c01b88e1230dc499c0d6e1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000009.json b/manifests/batches/numina/000009.json
index 90202edfe00d8b5fbe145b498fb5fc02540b570a..95afe80a5fa94179eddb6909fd48c01d248eebbc 100644
--- a/manifests/batches/numina/000009.json
+++ b/manifests/batches/numina/000009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000009",
   "batch_fingerprint": "67f4990d0b5477faed28ebb789375d1d515934cf56649aeebc1da2d3d68ba676",
   "evidence": {
@@ -35,15 +34,7 @@
     "transitions": 10,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000009-0000-7553ee189671eab2.parquet",
-      "sha256": "7553ee189671eab290e09527cf20b9133acf7339ad8d3cd4efad4607ce3fef6a",
-      "bytes": 38436,
-      "rows": 10,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f311a87-4306-5b7e-abb2-b03330456256",
     "numina:46fabc43-c74d-5fc6-ad3c-10e5112d0038",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000046.lean\",\"737e54ba8de3e5a2c79a0d82728f15ba5f6155adbaf7f66174c268b5c96a850e\",0,\"Arithmetic_4182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000048.lean\",\"cb2c0bb7b3e109ef7a3e17da46fc9d6980c2a486a32d3521f89ed001a7dd32b4\",0,\"arithmetic_4185\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000049.lean\",\"921c96b151b69bae2dea155dde0d43cf9aaf5a958075ebdd62b8fe13d3224e5c\",0,\"arithmetic_4186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 38436,
+      "path": "data/train/p0c/numina-000009-0000-7553ee189671eab2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7553ee189671eab290e09527cf20b9133acf7339ad8d3cd4efad4607ce3fef6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000010.json b/manifests/batches/numina/000010.json
index 7fe5bbcb70d41d18ecd7ce9c5eb52dc05936b073..f00fb7b6d575abf31c4f0d7ec9f0590fd823621a 100644
--- a/manifests/batches/numina/000010.json
+++ b/manifests/batches/numina/000010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000010",
   "batch_fingerprint": "a5612508f550d65c3ce673194301a8ddf68f36487e74db2959057f9dd08eb603",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 73,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000010-0000-07648327794c3107.parquet",
-      "sha256": "07648327794c3107ddeae448ffd0a63c1eb1615f17e5cabf655e91338e1ef73e",
-      "bytes": 411932,
-      "rows": 61,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000010-0000-69e7ad285b5f726b.parquet",
-      "sha256": "69e7ad285b5f726b1f7900141be9e3adea02fbed2b6abf3aa604f100eb0f28a9",
-      "bytes": 187135,
-      "rows": 12,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:49c9d139-5ba6-5411-93be-f8215bb76ea9",
     "numina:680fa9f8-e821-56bd-8707-76173d520a57",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000052.lean\",\"7e809b8987033e5794e28fb5863f0d4b92b76b6a03c347419da82ba7798769f8\",0,\"functional_equations_4190\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000053.lean\",\"0ca83883c12df11056132278a6ee944bd69ff124a210e33ee8f5e11fa97ea65d\",2,\"functional_equations_4191\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000054.lean\",\"d67fdeb2145763ba250ac5740ee67e17a26e933952e0107cb88ec99e738868e8\",0,\"functional_equations_4192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411932,
+      "path": "data/train/p6a/numina-000010-0000-07648327794c3107.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "07648327794c3107ddeae448ffd0a63c1eb1615f17e5cabf655e91338e1ef73e"
+    },
+    {
+      "bytes": 187135,
+      "path": "data/internal_test/p6a/numina-000010-0000-69e7ad285b5f726b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "69e7ad285b5f726b1f7900141be9e3adea02fbed2b6abf3aa604f100eb0f28a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000011.json b/manifests/batches/numina/000011.json
index 09ee8c8cfa786529367c21d15280fd66773e9c80..6d13cea5fecf47632200d3eea49059dc89597d01 100644
--- a/manifests/batches/numina/000011.json
+++ b/manifests/batches/numina/000011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000011",
   "batch_fingerprint": "98fda08100b6e26b9b039fa2d58e77e1d24886308c400a37369e1b18d1d7b8ca",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 61,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000011-0000-ca59db86922b5d66.parquet",
-      "sha256": "ca59db86922b5d666c236e0b45d31a6ab600d5f5cc1c57541365bcd2243afdc9",
-      "bytes": 348893,
-      "rows": 61,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d100790-c144-50ed-ad0a-8335d4d85b07",
     "numina:49c9d139-5ba6-5411-93be-f8215bb76ea9",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000057.lean\",\"95a7474e3ba9c5d69053e459061acd5021a3cf89c1ffdb0152f0dcb1fe6a2ffc\",1,\"inequalities_4198\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000058.lean\",\"a2d2982b3de995b63f944c76c59c36559d3be13372592f4a44dcc91dbe15f6c5\",0,\"recursion_4201\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000059.lean\",\"28861bd0f21903667a0a944d10d2416565d108471020aee2b352e2cb4c25e57b\",0,\"RecursionOther_4202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348893,
+      "path": "data/train/p5f/numina-000011-0000-ca59db86922b5d66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "ca59db86922b5d666c236e0b45d31a6ab600d5f5cc1c57541365bcd2243afdc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000012.json b/manifests/batches/numina/000012.json
index 4504d59760552c1a78201d285a1cc0981b6488f3..cdb82a89f593cb8231147d68b425bde8dad0e524 100644
--- a/manifests/batches/numina/000012.json
+++ b/manifests/batches/numina/000012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000012",
   "batch_fingerprint": "c7a0e3f8b7831bf81c5de0a66c185cb4237801bfa61d3c1a0c8bf40e7fe767b5",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000012-0000-c79af79ea1246d38.parquet",
-      "sha256": "c79af79ea1246d389db91eb5d7c3bdc3f722929a234304a5f402621d63786995",
-      "bytes": 260588,
-      "rows": 30,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/dev/numina-000012-0000-9fa893fe1f02e27e.parquet",
-      "sha256": "9fa893fe1f02e27e6811bf564cc2951138baecd96b5c4a2f6599b8e68ab7887e",
-      "bytes": 70853,
-      "rows": 5,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/internal_test/numina-000012-0000-322a2a223eb3a67a.parquet",
-      "sha256": "322a2a223eb3a67ae2d4749cc4317cf249001ceee42eba27f88ccd93e4c626eb",
-      "bytes": 36324,
-      "rows": 2,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02a03739-76fd-5714-8ecb-eb0828304c0e",
     "numina:34bf2e67-187d-5a45-b0ff-cb8bef68cfc6",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000062.lean\",\"907475ec69a85c97e18020591f23b815ef0f40ad448b1e30e2183337ce322b35\",0,\"Calculus_4205\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000063.lean\",\"4d9b31821878673c3b2645d587eb4ce46ada31a3d35567027bb2cb39a2ebc1a7\",0,\"algebra_4207\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000064.lean\",\"49061606e4568fd5c90d95d6bab13de3c72f1c3a0debae9d1fb3307b25b48b48\",0,\"algebra_4209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260588,
+      "path": "data/train/p20/numina-000012-0000-c79af79ea1246d38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "c79af79ea1246d389db91eb5d7c3bdc3f722929a234304a5f402621d63786995"
+    },
+    {
+      "bytes": 70853,
+      "path": "data/dev/p20/numina-000012-0000-9fa893fe1f02e27e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9fa893fe1f02e27e6811bf564cc2951138baecd96b5c4a2f6599b8e68ab7887e"
+    },
+    {
+      "bytes": 36324,
+      "path": "data/internal_test/p20/numina-000012-0000-322a2a223eb3a67a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "322a2a223eb3a67ae2d4749cc4317cf249001ceee42eba27f88ccd93e4c626eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000013.json b/manifests/batches/numina/000013.json
index 8f5a425a8375d8ccd2a14cab3b3e48d42a46da15..ec38b8cb31df57fd507bbf3669ca6652648ed9d3 100644
--- a/manifests/batches/numina/000013.json
+++ b/manifests/batches/numina/000013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000013",
   "batch_fingerprint": "b80073ea5afe45d4cd873a9cc4ccc218ffa23caf63a76291bc4c0ee7dceba53b",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 55,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000013-0000-5bc011f8d6788e46.parquet",
-      "sha256": "5bc011f8d6788e46d07b555008e5675cb9c85efca55ff69d6c684e740a625b13",
-      "bytes": 356518,
-      "rows": 55,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07a29f49-4d6a-528d-9823-67eb9afe1a96",
     "numina:6385f6d3-5302-5086-ba50-01f8d407e37f",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000067.lean\",\"334033ed89d20c035ae649dc3dcb8e18c3624686ae1f6933e7ef459e987fbc90\",9,\"id4214_case2a\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000068.lean\",\"a1f8a47741e9db41c0d1240edd485887f438452485f2062c45fd9c2440bfe3d2\",0,\"logic_nd_puzzles_4216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000069.lean\",\"8fa71c93b7c4d6f741e8c72730c21b7c22662e993e311ad066aa9e7df0cf3d16\",2,\"statistics_4219\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356518,
+      "path": "data/train/pd2/numina-000013-0000-5bc011f8d6788e46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "5bc011f8d6788e46d07b555008e5675cb9c85efca55ff69d6c684e740a625b13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000014.json b/manifests/batches/numina/000014.json
index dcd9dc0ff298f38485b4b828d5f4cf9f0e280045..1cc51f6efe344aabc500527f562d7c26ac6cf789 100644
--- a/manifests/batches/numina/000014.json
+++ b/manifests/batches/numina/000014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000014",
   "batch_fingerprint": "1a7248f2d289ce4a25bbdf627ebb0ab9ef9be7d2eaf1585ec4fac8eeebcc1d39",
   "evidence": {
@@ -15,55 +14,56 @@
     "transitions": 70,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0a8b04bd-edb2-50cb-8288-3cb0d4f5ebd9",
+    "numina:3839bfc3-c140-52ce-b08c-7274434edb47",
+    "numina:9c94b7f1-87c4-594c-aed1-c7b65ba74245",
+    "numina:9f20c216-30f1-58cf-81ca-358846bce8de",
+    "numina:e53b9646-93d9-529f-a227-c39168bb1eef"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000070.lean\",\"7517f0ee61fffcb081cdc1ef9f240ec5ba598582abcf71d0b9d2d6b2240daae8\",1,\"linear_algebra_4228\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000071.lean\",\"41dac2aa5e2309d8e543b0aaf721c3a4a73923ea28c82e708df2a153be53e770\",0,\"linear_algebra_4229\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000072.lean\",\"93dfc92da54dce5344defc93de11999a8eca38504ff54063fd97206005a59001\",0,\"linear_algebra_4230\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000073.lean\",\"773a49c7f2ac0fe9dec2e68a83f553ad22f53576d7664a518276bcab91d0f9ea\",0,\"linear_algebra_4231\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000074.lean\",\"73d0e84db78b464243668933f7676a09440732c57852e20daf92268143e3cc61\",0,\"linear_algebra_4232\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000014-0000-89f4f532f9632e3b.parquet",
-      "sha256": "89f4f532f9632e3bd9b789495bc1a0c9c64604ff011b7e9b374edeb93de59e4c",
       "bytes": 170715,
+      "path": "data/train/p0f/numina-000014-0000-89f4f532f9632e3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "89f4f532f9632e3bd9b789495bc1a0c9c64604ff011b7e9b374edeb93de59e4c"
     },
     {
-      "path": "data/dev/numina-000014-0000-bd9f57596e7a379b.parquet",
-      "sha256": "bd9f57596e7a379bba6baa828bc5c48ac18567a9760c8456095633e052962fd8",
       "bytes": 105329,
+      "path": "data/dev/p0f/numina-000014-0000-bd9f57596e7a379b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "bd9f57596e7a379bba6baa828bc5c48ac18567a9760c8456095633e052962fd8"
     },
     {
-      "path": "data/internal_test/numina-000014-0000-c3f0ea44841d3515.parquet",
-      "sha256": "c3f0ea44841d3515eb363e945ad1cda75611ea9f6222e7a5820d58fc3bea440f",
       "bytes": 787917,
+      "path": "data/internal_test/p0f/numina-000014-0000-c3f0ea44841d3515.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "c3f0ea44841d3515eb363e945ad1cda75611ea9f6222e7a5820d58fc3bea440f"
     },
     {
-      "path": "data/internal_test/numina-000014-0001-f9b52dc0b3a71d37.parquet",
-      "sha256": "f9b52dc0b3a71d37cfc6558415feb662b03a7dbed05e4772d7440e7bf2d9d361",
       "bytes": 819347,
+      "path": "data/internal_test/p0f/numina-000014-0001-f9b52dc0b3a71d37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "f9b52dc0b3a71d37cfc6558415feb662b03a7dbed05e4772d7440e7bf2d9d361"
     },
     {
-      "path": "data/internal_test/numina-000014-0002-75981e88cc9064fa.parquet",
-      "sha256": "75981e88cc9064fa3fb7cc01a03fb1e3d52f2206126d1404292e39e83fa4cba2",
       "bytes": 349186,
+      "path": "data/internal_test/p0f/numina-000014-0002-75981e88cc9064fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "75981e88cc9064fa3fb7cc01a03fb1e3d52f2206126d1404292e39e83fa4cba2"
     }
-  ],
-  "proof_ids": [
-    "numina:0a8b04bd-edb2-50cb-8288-3cb0d4f5ebd9",
-    "numina:3839bfc3-c140-52ce-b08c-7274434edb47",
-    "numina:9c94b7f1-87c4-594c-aed1-c7b65ba74245",
-    "numina:9f20c216-30f1-58cf-81ca-358846bce8de",
-    "numina:e53b9646-93d9-529f-a227-c39168bb1eef"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000070.lean\",\"7517f0ee61fffcb081cdc1ef9f240ec5ba598582abcf71d0b9d2d6b2240daae8\",1,\"linear_algebra_4228\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000071.lean\",\"41dac2aa5e2309d8e543b0aaf721c3a4a73923ea28c82e708df2a153be53e770\",0,\"linear_algebra_4229\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000072.lean\",\"93dfc92da54dce5344defc93de11999a8eca38504ff54063fd97206005a59001\",0,\"linear_algebra_4230\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000073.lean\",\"773a49c7f2ac0fe9dec2e68a83f553ad22f53576d7664a518276bcab91d0f9ea\",0,\"linear_algebra_4231\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000074.lean\",\"73d0e84db78b464243668933f7676a09440732c57852e20daf92268143e3cc61\",0,\"linear_algebra_4232\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000015.json b/manifests/batches/numina/000015.json
index f8193482d476319f956e5fff6518d847b72df099..7f080aced1ed9b2a75ba177f1a9b5be71981ba12 100644
--- a/manifests/batches/numina/000015.json
+++ b/manifests/batches/numina/000015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000015",
   "batch_fingerprint": "253cfe95fdd62f102bb2856f01da1d005bef077f4c315cfe617f02c4af89deb5",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000015-0000-21c2f1137aacaa20.parquet",
-      "sha256": "21c2f1137aacaa201d03b1d6312708e915b31bcc29f38eaddce6dc5fc8f74042",
-      "bytes": 184363,
-      "rows": 38,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:232fb046-2167-5fa0-b00e-5ed2fe1705cb",
     "numina:6e1f1b06-d9d7-5a2a-897e-e7ee50678684",
@@ -53,5 +44,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000077.lean\",\"834409862faca8f64148eb5cdbc45d481d991f04345023535bb7cd6a38d4ee26\",0,\"number_theory_4483\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000078.lean\",\"2bf4852f2bdf646fe124100088b0428dcdc2ad4f70d62b69c0114cee8baffbb7\",0,\"number_theory_4487\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000079.lean\",\"16bae3f2a3182bf1c2433d6532a2c7a12e786f3b3e722537c8e830e2d24b25ec\",0,\"number_theory_4487\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184363,
+      "path": "data/train/p1c/numina-000015-0000-21c2f1137aacaa20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "21c2f1137aacaa201d03b1d6312708e915b31bcc29f38eaddce6dc5fc8f74042"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000016.json b/manifests/batches/numina/000016.json
index de65e563417eb1b700bfe795bf6df09122438577..70927381d709a65817209ad81e74a58cc8ffd461 100644
--- a/manifests/batches/numina/000016.json
+++ b/manifests/batches/numina/000016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000016",
   "batch_fingerprint": "c7af276ad5afb86674eae91530cb9439f001b29691384255963ec9f595ee5cde",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000016-0000-dda7ba9dfdb182d8.parquet",
-      "sha256": "dda7ba9dfdb182d85073e964a5d00cca162bf946cdb80342e2c68c7e0eab2b88",
-      "bytes": 104861,
-      "rows": 30,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    },
-    {
-      "path": "data/dev/numina-000016-0000-2668db71affd601e.parquet",
-      "sha256": "2668db71affd601e8a51eeab258e84c450bce84b00b18098df80c691b2788162",
-      "bytes": 68050,
-      "rows": 7,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c0a5d90-a562-570d-8ee8-cd5414bdb826",
     "numina:30d7f2fb-0c21-5999-a181-a72908b692cb",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000082.lean\",\"1df42c7f6fe67cb492680515d78becf7f4073278ce3101cbbc3ec9e76e31a7ff\",0,\"number_theory_4509\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000083.lean\",\"378a54c9688c53fd12ce65d4416d7c6c27daff3e77f52be23adddf7ef19c0b2e\",0,\"number_theory_4517\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000084.lean\",\"7301aa64a629583494ffc8f360555e76ae9a150e7b86708e04703dc72f9fa7ba\",0,\"number_theory_4518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104861,
+      "path": "data/train/pdf/numina-000016-0000-dda7ba9dfdb182d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "dda7ba9dfdb182d85073e964a5d00cca162bf946cdb80342e2c68c7e0eab2b88"
+    },
+    {
+      "bytes": 68050,
+      "path": "data/dev/pdf/numina-000016-0000-2668db71affd601e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2668db71affd601e8a51eeab258e84c450bce84b00b18098df80c691b2788162"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000017.json b/manifests/batches/numina/000017.json
index ba2a7a42f361fcba66a49977898c7650eab1ab5d..068bbb9f2e062f3d26a724b740e1a94050253827 100644
--- a/manifests/batches/numina/000017.json
+++ b/manifests/batches/numina/000017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000017",
   "batch_fingerprint": "5240b9e625e52d6daaf42b88d9735317d5fd3337af3064c051185982018fc1f6",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 16,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000017-0000-8ffee414aa5a2eae.parquet",
-      "sha256": "8ffee414aa5a2eaefce0fbaa467dadcc5d5b73077f4a82bbbfe15a24bd6da26e",
-      "bytes": 113677,
-      "rows": 16,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21281fa6-f6a4-5a75-ac6a-7b615289187f",
     "numina:3e47a6ad-c134-5114-a9f2-b13326c6bd53",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000087.lean\",\"78f1be135f2ce067c53156189e7051b8ef2eaa5cb47fec5c30b963f23f13897c\",1,\"number_theory_4526\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000088.lean\",\"012a1227d55a4eccc317e1e595e3c1484da7cc1dee6a54480288bfef137ab8d3\",0,\"number_theory_4532\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000089.lean\",\"9ef83ad805f5758ab2604e1e9f452748021989513ea2fcd2a567a504ed65c632\",3,\"number_theory_4536_4\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113677,
+      "path": "data/train/pea/numina-000017-0000-8ffee414aa5a2eae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8ffee414aa5a2eaefce0fbaa467dadcc5d5b73077f4a82bbbfe15a24bd6da26e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000018.json b/manifests/batches/numina/000018.json
index 6f14b91e7c58fd781835ff864bcff13014a0c3b5..6a93dfb9d2944ebb030dcfe0fe0147065a5a45d8 100644
--- a/manifests/batches/numina/000018.json
+++ b/manifests/batches/numina/000018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000018",
   "batch_fingerprint": "1a390ed130c3287c75be6eb78b866a4655176bb96aaef584d222a1330e1886b2",
   "evidence": {
@@ -42,15 +41,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000018-0000-fec722e711cc6422.parquet",
-      "sha256": "fec722e711cc6422c241976493f102dcb80cd4f3113569bd8d967736eb2434ee",
-      "bytes": 139980,
-      "rows": 28,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11766c6a-f015-5412-90ee-12696d757c4c",
     "numina:78f6c5a8-ab8c-591f-abf5-455d7188b0b6",
@@ -62,5 +53,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000092.lean\",\"448001c19d7c6dbbfdca2809e6e780b89fdde05438ad33c2d81031dc030f753f\",0,\"number_theory_4550\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000093.lean\",\"707428eda452d10729f4d8890a4e6c101dfd052a43ef165043e75ab419f9e6a7\",3,\"number_theory_4578_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000094.lean\",\"9dcf6d41e18781b2dd90d96310c330afd523680af7e0ce7484c8973f96cd315c\",0,\"number_theory_4583\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139980,
+      "path": "data/train/pe3/numina-000018-0000-fec722e711cc6422.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "fec722e711cc6422c241976493f102dcb80cd4f3113569bd8d967736eb2434ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000019.json b/manifests/batches/numina/000019.json
index 68e655a791a8696496433a12502338017be74512..74f90fcf3ef0dd7c961544146e7c8a93f0005986 100644
--- a/manifests/batches/numina/000019.json
+++ b/manifests/batches/numina/000019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000019",
   "batch_fingerprint": "93c10efe1b3af9bf243fceaa10ebe42380e97e2b953e97f2398114516cef1042",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 69,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:9f783c2d-2734-5276-bdb0-5b443b7c307e",
+    "numina:ceb8d4b3-3e3b-5973-a5a5-f69523b66f6a",
+    "numina:e8d50968-5813-5b88-84ea-7cb3246d3c60",
+    "numina:f1e783ed-aa6d-5afd-80f6-8f07ae461efb",
+    "numina:fd2e7c32-e0bf-5f19-9bb3-fb97871104e0"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000095.lean\",\"0140119c09da4bb1ceed40436ddf0f4bdf8a8bfbd30e23326e380f5d52c85e31\",1,\"number_theory_4584_2\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000096.lean\",\"9bb42a44c3c64e9f3949759c8531407bb7109229a2ef5d12b50303df511cbfc3\",0,\"number_theory_4588\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000097.lean\",\"393a44c321263219bd3429f7a6a4e0cde938ed37706382383f738511e43ca04f\",0,\"number_theory_4604\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000098.lean\",\"dcd18b45ed1ed27c0c63dbc85fd90d8b43502a7319a1ee618f1f9c3d3cbae2e0\",0,\"number_theory_4609\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000099.lean\",\"e84db8a7118fe92205f2b68b7f1bbd09e4efd158da08b6b97b14d81767b12ea8\",0,\"number_theory_4615\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000019-0000-4c9980e138f7f653.parquet",
-      "sha256": "4c9980e138f7f6538045de6e40f9dd6d10430cab549fae03dd2de626d65849b7",
       "bytes": 207640,
+      "path": "data/train/pda/numina-000019-0000-4c9980e138f7f653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "4c9980e138f7f6538045de6e40f9dd6d10430cab549fae03dd2de626d65849b7"
     },
     {
-      "path": "data/train/numina-000019-0001-0e27e5a816e473e2.parquet",
-      "sha256": "0e27e5a816e473e2eb90b80c72afa0a3df1b2df821ec13a7caa4bde2b67cb9c6",
       "bytes": 151685,
+      "path": "data/train/pda/numina-000019-0001-0e27e5a816e473e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "0e27e5a816e473e2eb90b80c72afa0a3df1b2df821ec13a7caa4bde2b67cb9c6"
     },
     {
-      "path": "data/train/numina-000019-0002-80f7bb3d0a06d9e1.parquet",
-      "sha256": "80f7bb3d0a06d9e1de67b09d1083bfc16326ea4cf39120c3a657714d819fdbb0",
       "bytes": 200429,
+      "path": "data/train/pda/numina-000019-0002-80f7bb3d0a06d9e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 26,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "80f7bb3d0a06d9e1de67b09d1083bfc16326ea4cf39120c3a657714d819fdbb0"
     },
     {
-      "path": "data/train/numina-000019-0003-18b506238f78f7c5.parquet",
-      "sha256": "18b506238f78f7c541207c25194748d6e09c806b232151a1a029075a321ac877",
       "bytes": 52282,
+      "path": "data/train/pda/numina-000019-0003-18b506238f78f7c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
+      "sha256": "18b506238f78f7c541207c25194748d6e09c806b232151a1a029075a321ac877"
     }
-  ],
-  "proof_ids": [
-    "numina:9f783c2d-2734-5276-bdb0-5b443b7c307e",
-    "numina:ceb8d4b3-3e3b-5973-a5a5-f69523b66f6a",
-    "numina:e8d50968-5813-5b88-84ea-7cb3246d3c60",
-    "numina:f1e783ed-aa6d-5afd-80f6-8f07ae461efb",
-    "numina:fd2e7c32-e0bf-5f19-9bb3-fb97871104e0"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000095.lean\",\"0140119c09da4bb1ceed40436ddf0f4bdf8a8bfbd30e23326e380f5d52c85e31\",1,\"number_theory_4584_2\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000096.lean\",\"9bb42a44c3c64e9f3949759c8531407bb7109229a2ef5d12b50303df511cbfc3\",0,\"number_theory_4588\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000097.lean\",\"393a44c321263219bd3429f7a6a4e0cde938ed37706382383f738511e43ca04f\",0,\"number_theory_4604\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000098.lean\",\"dcd18b45ed1ed27c0c63dbc85fd90d8b43502a7319a1ee618f1f9c3d3cbae2e0\",0,\"number_theory_4609\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000099.lean\",\"e84db8a7118fe92205f2b68b7f1bbd09e4efd158da08b6b97b14d81767b12ea8\",0,\"number_theory_4615\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000020.json b/manifests/batches/numina/000020.json
index d79066a7766279a367cd77a0ea7fd08aa1e740b5..bac89f1b6103119f9c93c6d79c72ab49f1089767 100644
--- a/manifests/batches/numina/000020.json
+++ b/manifests/batches/numina/000020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000020",
   "batch_fingerprint": "dce64ca56c52ba5a8a1bc766cde855c88d4421d52fe34ec172d7c76514cb5f84",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000020-0000-58565a66b1eb83cb.parquet",
-      "sha256": "58565a66b1eb83cb7e022fcf73ae7138f09ca62a17adec0feecdb3b1b765f1d7",
-      "bytes": 124236,
-      "rows": 22,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04c493a3-1b40-5a29-a32c-08beeaba9437",
     "numina:4ae8bfe3-dbc5-5b3a-9afd-8895766bc01f",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000102.lean\",\"7ed717f5589dd0fa3bbe2e135e214283c7a60f08f4881d61a497ceb99aee7089\",4,\"number_theory_4625_3_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000103.lean\",\"8a32ecb3c041b19661cc1dfd609fec3a7912840dfcc1f570cff5436c633641f5\",4,\"formal_3280_3\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000104.lean\",\"0a7c40e3260c060c1899d50302c93aa54afe0a35b5ccfdc1b14df98034d7a5a6\",2,\"number_theory_4630_3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124236,
+      "path": "data/train/pce/numina-000020-0000-58565a66b1eb83cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "58565a66b1eb83cb7e022fcf73ae7138f09ca62a17adec0feecdb3b1b765f1d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000021.json b/manifests/batches/numina/000021.json
index 7ac32f6bf702f77b5e802092ff0f608cb3545f5b..c4f8c2cd5f214ad5a773257d949397c770a66995 100644
--- a/manifests/batches/numina/000021.json
+++ b/manifests/batches/numina/000021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000021",
   "batch_fingerprint": "884f26ba9534e96c5e13c090486412080aeaaeedae7109a4aec3ba3ec1a68700",
   "evidence": {
@@ -35,22 +34,7 @@
     "transitions": 15,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000021-0000-ce01f0e344135c0f.parquet",
-      "sha256": "ce01f0e344135c0fded3d1df13f22de403f810309b5ac1a3e4a4247ba646cbf9",
-      "bytes": 67467,
-      "rows": 5,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000021-0000-1c91f9e569ee2583.parquet",
-      "sha256": "1c91f9e569ee2583dfdac7b907cbf13bfd3e1cf975955d85b62e7f930eb85365",
-      "bytes": 51671,
-      "rows": 10,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c7b9cbb-a3dc-556d-a1da-2b7c24a83cf3",
     "numina:6582ca00-f32c-5ec2-a1c1-161f3df69eae",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000107.lean\",\"95d305237e4affbf7d8f9bdba4eef4562fd26c2fb705a3dde2fe64c8f621c6c1\",0,\"number_theory_4646\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000108.lean\",\"badcc1da130bc2e4bf478a503543bbe90294be8f1e4e7cf6bb1c8a3b692e35ce\",0,\"number_theory_4649\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000109.lean\",\"e79f124ffbc747b1a6b6e49e893690cd055864754400fc9d2db7f2150f8b2bb2\",0,\"number_theory_4649\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67467,
+      "path": "data/train/pca/numina-000021-0000-ce01f0e344135c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ce01f0e344135c0fded3d1df13f22de403f810309b5ac1a3e4a4247ba646cbf9"
+    },
+    {
+      "bytes": 51671,
+      "path": "data/internal_test/pca/numina-000021-0000-1c91f9e569ee2583.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1c91f9e569ee2583dfdac7b907cbf13bfd3e1cf975955d85b62e7f930eb85365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000022.json b/manifests/batches/numina/000022.json
index 32235964afdb51cf2bca3bbee736d39feb9159f2..c065c841af84b1baeb23d5425bc62f5a3319299e 100644
--- a/manifests/batches/numina/000022.json
+++ b/manifests/batches/numina/000022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000022",
   "batch_fingerprint": "8e36d2747b588894e72263ec10d4cf454d23b162b5ae20e8535f652c7ad1cd66",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 23,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000022-0000-92e85ef6e57977af.parquet",
-      "sha256": "92e85ef6e57977aff555c8e3768357626b3f767edfd0b300c67c65790a23d24a",
-      "bytes": 140006,
-      "rows": 23,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2de3d32c-3473-55f5-9c28-2eb55df8ce96",
     "numina:38735a94-43a9-5102-b261-701e8f1fad69",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000112.lean\",\"5abd04242de1e8ece1932b6f64c6cc1cf84905363116880e0fee40d0ae25d140\",0,\"number_theory_4681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000113.lean\",\"c2eb56bca8a4b38066052e6af969b2176ba965492ca41b85325ebfbea67ed264\",0,\"number_theory_4687\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000114.lean\",\"df4cc610fc69c2b274ef735a3e9df224b0f8ccadea31b584528336e92b444049\",0,\"number_theory_4690\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140006,
+      "path": "data/train/p94/numina-000022-0000-92e85ef6e57977af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "92e85ef6e57977aff555c8e3768357626b3f767edfd0b300c67c65790a23d24a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000023.json b/manifests/batches/numina/000023.json
index aedfb317023eca4edaa06c981fd16be3d968fca5..9e482391edb3ea319097487e252e1ac8d7495512 100644
--- a/manifests/batches/numina/000023.json
+++ b/manifests/batches/numina/000023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000023",
   "batch_fingerprint": "a07e3ec2cf3061f3f48cd2bb16a06b7f211fdcbae9a0e1fb3dce30de5fbe9b74",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000023-0000-88bdf981bd82d29d.parquet",
-      "sha256": "88bdf981bd82d29d22fa47e5c61c76def6d8b20193c89b4a0cde6df382e82ffb",
-      "bytes": 96565,
-      "rows": 18,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000023-0000-eed495fa20938ec2.parquet",
-      "sha256": "eed495fa20938ec241a8fe0862215a4e59b508ce2392e3d512021dc85b281e03",
-      "bytes": 63055,
-      "rows": 11,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0403ad33-0760-545a-96df-2cbb69fecbcd",
     "numina:0a6fcadb-070e-5d7e-8b9d-65921af3b9b6",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000117.lean\",\"b8ee5156f97a6c3af627db4e7477dde6baa9e605c4e12c6c4d719af1154f3116\",0,\"number_theory_4726\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000118.lean\",\"886566452903e47d084a970b3761acf21199129959ce81ddfb6168c1e76f79a6\",1,\"number_theory_4728_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000119.lean\",\"da263659c276b5b6b15bc69076b60f70400459d779d02e6723d592bd33deb95a\",0,\"number_theory_4730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96565,
+      "path": "data/train/p29/numina-000023-0000-88bdf981bd82d29d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "88bdf981bd82d29d22fa47e5c61c76def6d8b20193c89b4a0cde6df382e82ffb"
+    },
+    {
+      "bytes": 63055,
+      "path": "data/internal_test/p29/numina-000023-0000-eed495fa20938ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "eed495fa20938ec241a8fe0862215a4e59b508ce2392e3d512021dc85b281e03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000024.json b/manifests/batches/numina/000024.json
index 6f57584d2b6e57182a8b7b9ba6ba689d7d6e20dd..f54f00663397d256a36a2d67bf9f88d58b5e4ea8 100644
--- a/manifests/batches/numina/000024.json
+++ b/manifests/batches/numina/000024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000024",
   "batch_fingerprint": "2df103dd442ede4005886ef9d4d7677ae49e2210b1b933f9322e7f637f3c7b90",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 18,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000024-0000-35329f89ad52f445.parquet",
-      "sha256": "35329f89ad52f445dbd83119fb123a9eae6e55ce8f3920d5436b45afdcb1f589",
-      "bytes": 100580,
-      "rows": 18,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:024ec201-efb4-5e90-a6bf-2c5a58d5cd64",
     "numina:3767b88f-815e-5344-bd8f-2a591dd77638",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000122.lean\",\"9ebb93f4f734bd28741727ff387273d51f3c3c6b59d83a081b348e88850a7cc5\",0,\"number_theory_4740\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000123.lean\",\"49d70d9259a96ed4bae66caeeca0ebbaf5fdcee96b6160ce0c0e0438a1828ddc\",0,\"number_theory_4741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000124.lean\",\"ef302f6d3b3891d13b38ef14ff1461a43dc1cb460bec4022753fb1da839ff8c1\",0,\"number_theory_4744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100580,
+      "path": "data/train/p85/numina-000024-0000-35329f89ad52f445.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "35329f89ad52f445dbd83119fb123a9eae6e55ce8f3920d5436b45afdcb1f589"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000025.json b/manifests/batches/numina/000025.json
index 5fea66d5b86f23d6115b374bc35f5cc2376811bb..cf7ca981eba86f4360721714fc44c961a31d3090 100644
--- a/manifests/batches/numina/000025.json
+++ b/manifests/batches/numina/000025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000025",
   "batch_fingerprint": "7a99b9adfca355e4718d7a47b648abbcf20f7f0ef39b94b1cbddb3d2c7a118ed",
   "evidence": {
@@ -54,22 +53,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000025-0000-4b07bffa69b4b67d.parquet",
-      "sha256": "4b07bffa69b4b67df80cdcfe6c31cf93c95fcfbc7cfd034772558a6ad2a21ef1",
-      "bytes": 86626,
-      "rows": 24,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000025-0000-8ddcd70c27ead2c9.parquet",
-      "sha256": "8ddcd70c27ead2c9b87148bfd329d86187b19067577e6e283ffa13342210b654",
-      "bytes": 35591,
-      "rows": 3,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:60539619-2125-5117-a535-cb47ae9b0336",
     "numina:c5d0b932-6322-51c7-b5ab-1ae628935993",
@@ -79,5 +63,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000125.lean\",\"e11c2def9c77fe2e1eeb650840b743afed82e6944e588d83c320e0e7aaee77de\",0,\"number_theory_4745\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000126.lean\",\"9448ebf43e5ee83a6f8e515c13892cec1f28baf2ff30389183f910b232aade8e\",3,\"number_theory_4753_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000127.lean\",\"d145d6206a7b2d43671b001123b7b8a3f9925a312907ffad7a9fde7c75e6580c\",1,\"number_theory_4771_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86626,
+      "path": "data/train/pd2/numina-000025-0000-4b07bffa69b4b67d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "4b07bffa69b4b67df80cdcfe6c31cf93c95fcfbc7cfd034772558a6ad2a21ef1"
+    },
+    {
+      "bytes": 35591,
+      "path": "data/internal_test/pd2/numina-000025-0000-8ddcd70c27ead2c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8ddcd70c27ead2c9b87148bfd329d86187b19067577e6e283ffa13342210b654"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000026.json b/manifests/batches/numina/000026.json
index d65f792ed0c1d0dc67d92870c4adfffb222e7eb1..036005007a5d7c2e53660117db55518c92eca2b2 100644
--- a/manifests/batches/numina/000026.json
+++ b/manifests/batches/numina/000026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000026",
   "batch_fingerprint": "380a00e0e57702839938e42c875982d0f53c58c01b6ca76da16a496ef9256030",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 54,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000026-0000-8f87b27101e84ba3.parquet",
-      "sha256": "8f87b27101e84ba30dcaf384e9a8ab71eae74a43ea9a3373034f33beb4e1160e",
-      "bytes": 210076,
-      "rows": 54,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22e03f43-8bf3-57a6-aa90-75a16714c62a",
     "numina:5011a519-fd22-57e2-bea3-3c0c631ee9ae",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000132.lean\",\"f0f8dfe025357df263c8694e6cfe6bb4109c0985ef80eeb73f6362ed68ccec9e\",3,\"number_theory_4790_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000133.lean\",\"d36c9838c43774707a1c823ccc941ba2e9a62b73d31567558087ae73d369b58c\",0,\"number_theory_4799\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000134.lean\",\"e09a7f3f8ad7287f195fa3ca10ef3b4c987cf17288e6a27d6334b3b33bfcd66a\",1,\"number_theory_4811\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210076,
+      "path": "data/train/p5a/numina-000026-0000-8f87b27101e84ba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "8f87b27101e84ba30dcaf384e9a8ab71eae74a43ea9a3373034f33beb4e1160e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000027.json b/manifests/batches/numina/000027.json
index 06a652e604b962081ce96e0e8ff441f461d78d13..c610559ce45ff8067837d68c8aedb673bd87271b 100644
--- a/manifests/batches/numina/000027.json
+++ b/manifests/batches/numina/000027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000027",
   "batch_fingerprint": "16e5063767f6510bb30cb29fd1e719a4d32d3b264673bbf60bf2d8acab3acd7a",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 69,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000027-0000-cb8a233a32340f0b.parquet",
-      "sha256": "cb8a233a32340f0bcd4b05b1e58a004b2b0ba91bf02e6184295a716b7d8b6c6d",
-      "bytes": 163612,
-      "rows": 58,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/dev/numina-000027-0000-fca87abda8a03423.parquet",
-      "sha256": "fca87abda8a03423794145458f89fb723aa52cdca4a08759978bed7153039cd0",
-      "bytes": 55404,
-      "rows": 11,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f84536d-9730-57bc-8a56-c4359018c177",
     "numina:2b0c17ea-e820-5892-ba8b-9a5f697bea5d",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000137.lean\",\"78c5d5f33c39e9d3cb9adae2882e7f2a0c0f290378fb660564303eb9dedd7d87\",0,\"number_theory_4820\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000138.lean\",\"73d6354d296fd0fa71035596f76324fe7c782e0b00d6a1224c2b7fb53d9008dc\",1,\"number_theory_4846_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000139.lean\",\"16dd19f98ce6b1ead70c6d48cd7dde024f48f02309717cbce2aac7c069245fe4\",0,\"number_theory_4866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163612,
+      "path": "data/train/pbd/numina-000027-0000-cb8a233a32340f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "cb8a233a32340f0bcd4b05b1e58a004b2b0ba91bf02e6184295a716b7d8b6c6d"
+    },
+    {
+      "bytes": 55404,
+      "path": "data/dev/pbd/numina-000027-0000-fca87abda8a03423.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fca87abda8a03423794145458f89fb723aa52cdca4a08759978bed7153039cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000028.json b/manifests/batches/numina/000028.json
index 23152f180a1f68097f88d29001d909d5b5227572..4a048e7547fb1e7ea22d60758185f85d165d6095 100644
--- a/manifests/batches/numina/000028.json
+++ b/manifests/batches/numina/000028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000028",
   "batch_fingerprint": "9d11d9b4ced0ee34bb954b13447579e31b179b92e4c39b2b97fbb68c97d0069b",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000028-0000-46a474f86261fcb9.parquet",
-      "sha256": "46a474f86261fcb972e1e1047fe604e01bbf870bf89e3d8de7ddac0f701ab2d8",
-      "bytes": 80401,
-      "rows": 32,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:270c271c-fdfb-5528-b9d1-8c7f54e4aad0",
     "numina:400aa77f-ca8f-5078-9c67-48ac69db828f",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000142.lean\",\"7518d51e6945212be3376a31a90abd0d053d68ced097ab4f84be8f654ede772c\",1,\"number_theory_4924_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000143.lean\",\"3ae47d92ec73574e5bf70f678afe51268c2d6d0cfbf83523196203bc2cad273b\",3,\"number_theory_4926_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000144.lean\",\"24754785f52a60e50d78087741f5011e460f0e8dd7d0f1d2ac9790955070e597\",0,\"number_theory_4973\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80401,
+      "path": "data/train/p65/numina-000028-0000-46a474f86261fcb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "46a474f86261fcb972e1e1047fe604e01bbf870bf89e3d8de7ddac0f701ab2d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000029.json b/manifests/batches/numina/000029.json
index a86f107403c8b1cd2e3bd616bb05299b4a6af36f..891ac4cd04f4cde96b8ac423fad29a7faf74a429 100644
--- a/manifests/batches/numina/000029.json
+++ b/manifests/batches/numina/000029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000029",
   "batch_fingerprint": "641e91510aef294955e3538b1c1a68f76c37b3cb4841f175ad449f199709c143",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 46,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000029-0000-37c3ab45e148bac8.parquet",
-      "sha256": "37c3ab45e148bac852cb1c06f42b1873d3c278e5faf29378517c13e17699e3fb",
-      "bytes": 332316,
-      "rows": 42,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000029-0000-31c705d57ef49e72.parquet",
-      "sha256": "31c705d57ef49e726c327c676a3aeefbccae717fe9f0d28d9a29d0d04f534cbb",
-      "bytes": 79427,
-      "rows": 4,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2036a0ec-8616-512f-8d6d-4c153b05e1ff",
     "numina:2fc40566-bf52-5a6d-bbaf-b482c93aa927",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000147.lean\",\"d52be064b6719a92ace1e81e7db6f538f87b24258e9647fdd6ba3694892661de\",3,\"number_theory_4991_d\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000148.lean\",\"db02952af2cb9d54579a3cddc4bf5fe2a169951b60d56fcc5c1521dace77a1d7\",0,\"number_theory_4993\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000149.lean\",\"a80101012164533d88a438b00e029277bba5b596543d6041a274d3e353f5971f\",0,\"number_theory_5005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332316,
+      "path": "data/train/pfc/numina-000029-0000-37c3ab45e148bac8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "37c3ab45e148bac852cb1c06f42b1873d3c278e5faf29378517c13e17699e3fb"
+    },
+    {
+      "bytes": 79427,
+      "path": "data/internal_test/pfc/numina-000029-0000-31c705d57ef49e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "31c705d57ef49e726c327c676a3aeefbccae717fe9f0d28d9a29d0d04f534cbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000030.json b/manifests/batches/numina/000030.json
index 3a292841764b89045a9b685223162ec2053e8ae5..ac5f3f005e68f0bf4f3eba9dc2f963d099e518fd 100644
--- a/manifests/batches/numina/000030.json
+++ b/manifests/batches/numina/000030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000030",
   "batch_fingerprint": "094f51e169103c0538c8bab669a707c520dd8781c72230d3bfb7ce1b2b49d688",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 26,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000030-0000-6ab259fac69b4d0a.parquet",
-      "sha256": "6ab259fac69b4d0a126e627147ac5b4529c352e70f7f95b632e0b6ea0e467ecf",
-      "bytes": 465816,
-      "rows": 24,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000030-0001-7336a3ec96415278.parquet",
-      "sha256": "7336a3ec96415278a825d9bd99f2732a152900b7f6dba2ceb4101180b98bb113",
-      "bytes": 96827,
-      "rows": 2,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38c12882-8c43-557b-9665-5a184c3968aa",
     "numina:c019886a-3cb5-5625-9880-78ca68199bf1",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000152.lean\",\"b07f3c06104ade0cd2a592d7462f5a4674f250a347b928453573aa20e0a79c70\",0,\"number_theory_5461\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000153.lean\",\"5d40227e1fc4a8ae5691e47765ec5bd3555d79a28cb1fd99f08ab80bf4a05f21\",0,\"algebra_5638\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000154.lean\",\"ea308aeec1e71fc201b45acc0ed8509e8c42f8b2e31aec582a8269f970011ce9\",0,\"my_favorite_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465816,
+      "path": "data/train/p5c/numina-000030-0000-6ab259fac69b4d0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6ab259fac69b4d0a126e627147ac5b4529c352e70f7f95b632e0b6ea0e467ecf"
+    },
+    {
+      "bytes": 96827,
+      "path": "data/train/p5c/numina-000030-0001-7336a3ec96415278.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7336a3ec96415278a825d9bd99f2732a152900b7f6dba2ceb4101180b98bb113"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000031.json b/manifests/batches/numina/000031.json
index f6e6e3500dc52440ab463bf4370d5619f0a2e9e3..d29fd644e95111ca37d29a5bb0db16f927582059 100644
--- a/manifests/batches/numina/000031.json
+++ b/manifests/batches/numina/000031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000031",
   "batch_fingerprint": "6c53f0765e22912be917d836e094fb10eaa0e52eee2bba405659098892393c7d",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000031-0000-0e05ed0ac1711de0.parquet",
-      "sha256": "0e05ed0ac1711de0e0e04a6fa6b4aa094c2abcf20d6de97433841e571e1010dd",
-      "bytes": 261460,
-      "rows": 31,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000031-0000-c9cc7623027f268d.parquet",
-      "sha256": "c9cc7623027f268d7bb2a39e52820e6eacb25e21e4f3982d4bdc481137284e0a",
-      "bytes": 35889,
-      "rows": 3,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26764dee-9c02-5b5a-9223-5241359b510c",
     "numina:50e6ab5a-a54b-50c8-8d89-b1554bb00127",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000157.lean\",\"a19224babe07364e5b7893d8ef7976e96eaeac7d85c35829bb34ae926027d923\",0,\"number_theory_7732\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000158.lean\",\"93c5690d30351b3ae3dfe71c86c9c11869ef3d9b34b6b8e72f63ef8e577f1eb8\",2,\"number_theory_7766\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000159.lean\",\"bef22045d0b9d0d16046ab89ed219c8f6374d775c1bf4e95baaf8fc0545ab96f\",0,\"number_theory_8046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261460,
+      "path": "data/train/p3f/numina-000031-0000-0e05ed0ac1711de0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "0e05ed0ac1711de0e0e04a6fa6b4aa094c2abcf20d6de97433841e571e1010dd"
+    },
+    {
+      "bytes": 35889,
+      "path": "data/internal_test/p3f/numina-000031-0000-c9cc7623027f268d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c9cc7623027f268d7bb2a39e52820e6eacb25e21e4f3982d4bdc481137284e0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000032.json b/manifests/batches/numina/000032.json
index 38394a8f257a9806b3f00dfc5a2095ac3feebda5..dd7ccff6c002b467f96006aad750f5c754650d10 100644
--- a/manifests/batches/numina/000032.json
+++ b/manifests/batches/numina/000032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000032",
   "batch_fingerprint": "d742d3e97ea51216a140442791f456fb8a281aa01dcd43389749a0180aa22699",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 79,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000032-0000-4bfbe7398227219d.parquet",
-      "sha256": "4bfbe7398227219d6cb35e59fdbe64bcb78a4b59320fe3c852e095bdb0bb5272",
-      "bytes": 731451,
-      "rows": 34,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000032-0001-a55050f49f28168e.parquet",
-      "sha256": "a55050f49f28168ede9877d852c778d2bc1360ff7f278929387bca09fa1514fe",
-      "bytes": 314050,
-      "rows": 30,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/internal_test/numina-000032-0000-d9f186af8547c868.parquet",
-      "sha256": "d9f186af8547c8685e03e5cd67b8be5363029a56b06ca739706c55e61e072f59",
-      "bytes": 627172,
-      "rows": 15,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3622eecf-ea20-5c18-900f-c48bac3944ec",
     "numina:5d5b99e9-1693-5fa9-84d2-f541e1a4b43f",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000162.lean\",\"85608cfae6f7b91d8c8b4ae699067094513725ebc4003933faab3110eed9c58c\",2,\"number_theory_8489\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000163.lean\",\"e9ed3a151e629ca09569e8f631789143a6be4a907b244858872d576661d1a83b\",0,\"number_theory_8494\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000164.lean\",\"88d37ee5a697b773a0bd4a3c157ebdcfa3111cdc30790992db950732958fc6c5\",0,\"number_theory_8495\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 731451,
+      "path": "data/train/pd2/numina-000032-0000-4bfbe7398227219d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "4bfbe7398227219d6cb35e59fdbe64bcb78a4b59320fe3c852e095bdb0bb5272"
+    },
+    {
+      "bytes": 314050,
+      "path": "data/train/pd2/numina-000032-0001-a55050f49f28168e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a55050f49f28168ede9877d852c778d2bc1360ff7f278929387bca09fa1514fe"
+    },
+    {
+      "bytes": 627172,
+      "path": "data/internal_test/pd2/numina-000032-0000-d9f186af8547c868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d9f186af8547c8685e03e5cd67b8be5363029a56b06ca739706c55e61e072f59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000033.json b/manifests/batches/numina/000033.json
index b07cb23045cfa24e65e27d0ec4f54a3ac4bfdb54..ce9c82c770c91cc49d442ccec968f9c46ecde270 100644
--- a/manifests/batches/numina/000033.json
+++ b/manifests/batches/numina/000033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000033",
   "batch_fingerprint": "d3291e304ba9ca0bcb043ce9af2601ac978b0671da968919d288684aa525b7b9",
   "evidence": {
@@ -52,37 +51,38 @@
     "transitions": 44,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0850141f-a261-50db-99c6-1a6fff6033b0",
+    "numina:4384f678-72af-578f-955d-f7ed0231c741",
+    "numina:9ca98596-604b-5012-adab-f090f229068b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000166.lean\",\"12c07f9d3df6b1dea70fafd0cae24d386c138cf781c1bf967d0de6185810861f\",1,\"number_theory_8500\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000167.lean\",\"ad33510b248c117f8c23a9a7b2ed10fdb3017065301de2427720f17faafc5040\",0,\"number_theory_8502\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000168.lean\",\"862b62f3785bd4a275a653f55648d8d290e63e9d4e080b630265acca700c3231\",0,\"number_theory_8504\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000033-0000-7cac7bdf7a5dfba9.parquet",
-      "sha256": "7cac7bdf7a5dfba9d34e8e1202d56c34ab521d3e6c73dd46d9e2c8c4e36505d6",
       "bytes": 61755,
+      "path": "data/train/p28/numina-000033-0000-7cac7bdf7a5dfba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "7cac7bdf7a5dfba9d34e8e1202d56c34ab521d3e6c73dd46d9e2c8c4e36505d6"
     },
     {
-      "path": "data/train/numina-000033-0001-afc2eeba371cd82a.parquet",
-      "sha256": "afc2eeba371cd82a00f6c4791e45699b13a01b5553e5e790586866239bf299da",
       "bytes": 1860022,
+      "path": "data/train/p28/numina-000033-0001-afc2eeba371cd82a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "afc2eeba371cd82a00f6c4791e45699b13a01b5553e5e790586866239bf299da"
     },
     {
-      "path": "data/internal_test/numina-000033-0000-6e5e1aeab72e59c6.parquet",
-      "sha256": "6e5e1aeab72e59c69fd2015dce4f591617b1602bd5487c70008563cd8d17c6cf",
       "bytes": 256309,
+      "path": "data/internal_test/p28/numina-000033-0000-6e5e1aeab72e59c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 40,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "6e5e1aeab72e59c69fd2015dce4f591617b1602bd5487c70008563cd8d17c6cf"
     }
-  ],
-  "proof_ids": [
-    "numina:0850141f-a261-50db-99c6-1a6fff6033b0",
-    "numina:4384f678-72af-578f-955d-f7ed0231c741",
-    "numina:9ca98596-604b-5012-adab-f090f229068b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000166.lean\",\"12c07f9d3df6b1dea70fafd0cae24d386c138cf781c1bf967d0de6185810861f\",1,\"number_theory_8500\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000167.lean\",\"ad33510b248c117f8c23a9a7b2ed10fdb3017065301de2427720f17faafc5040\",0,\"number_theory_8502\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000168.lean\",\"862b62f3785bd4a275a653f55648d8d290e63e9d4e080b630265acca700c3231\",0,\"number_theory_8504\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000034.json b/manifests/batches/numina/000034.json
index ca3e1e5ad0857842e033e4825bb4df6d92509893..4a07e9fe902e5aefae97ccfe82aa4c381cfd69b5 100644
--- a/manifests/batches/numina/000034.json
+++ b/manifests/batches/numina/000034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000034",
   "batch_fingerprint": "59516a8923ac1789219535cadf3dbb9dcd1a1bc92201265976213192d26260ca",
   "evidence": {
@@ -15,54 +14,55 @@
     "transitions": 125,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:040581b8-405c-5573-829a-3ff17935c10c",
+    "numina:276c8b10-583b-514f-8ab8-19a53f3176ff",
+    "numina:7c0b313d-804e-500b-bc57-cbc448d50230",
+    "numina:976bc8c3-97a8-581c-a54b-137cf418bb8d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000170.lean\",\"e523ea82327c5d049a3001bcc7cfe8b87133a5df75bdc86e865a78b4d464119d\",0,\"number_theory_8506\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000171.lean\",\"190e61780f47ed4cf9ba9257b3014bb9ba3f770fce6cbfaef5de2ba185bf941a\",0,\"number_theory_629\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000172.lean\",\"290374249900593dc9c2da8f292d95d85f675289c646d775ea814da0e605ca3c\",0,\"number_theory_8507\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000173.lean\",\"068379a1bc04b2467810ed23cc7df65e9c673365bf7fa6e7ba65b27ecb5b89b7\",1,\"number_theory_8513_2\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000174.lean\",\"96c8fe1d800fe049bbd7932e00e4283f511fd228937954313fe35de465d2bcb8\",1,\"number_theory_8517_2\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000034-0000-4e68a223e3057f99.parquet",
-      "sha256": "4e68a223e3057f9925a0559c028b8afea58270581afc5eebd5bfe80bbc898865",
       "bytes": 667377,
+      "path": "data/train/p67/numina-000034-0000-4e68a223e3057f99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 100,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "4e68a223e3057f9925a0559c028b8afea58270581afc5eebd5bfe80bbc898865"
     },
     {
-      "path": "data/train/numina-000034-0001-3b555f86f4d98239.parquet",
-      "sha256": "3b555f86f4d9823978b3a6f5212aa8eb23dc781c327a4b69f6a36a4ce98b6618",
       "bytes": 329990,
+      "path": "data/train/p67/numina-000034-0001-3b555f86f4d98239.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "3b555f86f4d9823978b3a6f5212aa8eb23dc781c327a4b69f6a36a4ce98b6618"
     },
     {
-      "path": "data/train/numina-000034-0002-d8e7cf0734d225be.parquet",
-      "sha256": "d8e7cf0734d225be3d481f4d3a5b896649e2a59e43c2b4d0a8c53b59156cc4d9",
       "bytes": 335255,
+      "path": "data/train/p67/numina-000034-0002-d8e7cf0734d225be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "d8e7cf0734d225be3d481f4d3a5b896649e2a59e43c2b4d0a8c53b59156cc4d9"
     },
     {
-      "path": "data/train/numina-000034-0003-c5db050df8990216.parquet",
-      "sha256": "c5db050df89902168ef684057ee240da4ef509f38fd2a79cc9400c56d4f6db17",
       "bytes": 318284,
+      "path": "data/train/p67/numina-000034-0003-c5db050df8990216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "c5db050df89902168ef684057ee240da4ef509f38fd2a79cc9400c56d4f6db17"
     },
     {
-      "path": "data/train/numina-000034-0004-682447b14cc9f8bb.parquet",
-      "sha256": "682447b14cc9f8bb8cadc52090030f18f4d39d07a3f6623be17ee8b878ef7eb8",
       "bytes": 420787,
+      "path": "data/train/p67/numina-000034-0004-682447b14cc9f8bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "682447b14cc9f8bb8cadc52090030f18f4d39d07a3f6623be17ee8b878ef7eb8"
     }
-  ],
-  "proof_ids": [
-    "numina:040581b8-405c-5573-829a-3ff17935c10c",
-    "numina:276c8b10-583b-514f-8ab8-19a53f3176ff",
-    "numina:7c0b313d-804e-500b-bc57-cbc448d50230",
-    "numina:976bc8c3-97a8-581c-a54b-137cf418bb8d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000170.lean\",\"e523ea82327c5d049a3001bcc7cfe8b87133a5df75bdc86e865a78b4d464119d\",0,\"number_theory_8506\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000171.lean\",\"190e61780f47ed4cf9ba9257b3014bb9ba3f770fce6cbfaef5de2ba185bf941a\",0,\"number_theory_629\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000172.lean\",\"290374249900593dc9c2da8f292d95d85f675289c646d775ea814da0e605ca3c\",0,\"number_theory_8507\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000173.lean\",\"068379a1bc04b2467810ed23cc7df65e9c673365bf7fa6e7ba65b27ecb5b89b7\",1,\"number_theory_8513_2\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000174.lean\",\"96c8fe1d800fe049bbd7932e00e4283f511fd228937954313fe35de465d2bcb8\",1,\"number_theory_8517_2\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000035.json b/manifests/batches/numina/000035.json
index 18734eaa8072bdbe0fcafe3b96e9ba8c189c6a7b..75501573166ec2a3e0c1c627452acf191fe85159 100644
--- a/manifests/batches/numina/000035.json
+++ b/manifests/batches/numina/000035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000035",
   "batch_fingerprint": "9fcc33d5e0493dfe0c66621f6fd2311e1e9485e4677941a601a82dcfb7663cfc",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 116,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:43646bbd-3091-5e88-b403-4ce9e5878399",
+    "numina:7dcf1d43-f892-504a-afc3-cfde77c1d8cb",
+    "numina:8e1a276f-d516-55b3-b5cb-9309bb08bb26",
+    "numina:9b519dc3-987c-5b74-9d43-fcc5851d3377",
+    "numina:d6f67153-ea3f-5a92-8991-84576f8198f2"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000175.lean\",\"bc4ca25e1977aa74e2934d254351f1e89485b213317a8d9109dcf779ed64d781\",0,\"number_theory_8521\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000176.lean\",\"62c0872b90576fc1f227755e6b7a94f94e95a8ee7308c4f757f905510d97561e\",0,\"number_theory_8522\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000177.lean\",\"cc63ec0a6b2ccecd08eeac3f7002fd43831a06f1f3711f293945f708f41c94a1\",0,\"number_theory_8524\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000178.lean\",\"dd423cc2ee485ff3a48cfe5d1f07b46a686778635da7eb7ae8864af18259a82b\",0,\"number_theory_8528\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000179.lean\",\"bd9d541ab538f96c8fdc2f08b974756392edf082e5fc6471accc8d6f2a344fcb\",1,\"number_theory_8530_2\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000035-0000-cf3a5741dec977e0.parquet",
-      "sha256": "cf3a5741dec977e0b4f5b9ff0b9fd17db6f4e04f4d589885370b2550e7b652ee",
       "bytes": 649269,
+      "path": "data/train/pee/numina-000035-0000-cf3a5741dec977e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 61,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "cf3a5741dec977e0b4f5b9ff0b9fd17db6f4e04f4d589885370b2550e7b652ee"
     },
     {
-      "path": "data/dev/numina-000035-0000-cbd85d7e521a2b4d.parquet",
-      "sha256": "cbd85d7e521a2b4d5fe2b6709b6c6000cf5b11dbfd64935365dd128df1679a2b",
       "bytes": 114108,
+      "path": "data/dev/pee/numina-000035-0000-cbd85d7e521a2b4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "cbd85d7e521a2b4d5fe2b6709b6c6000cf5b11dbfd64935365dd128df1679a2b"
     },
     {
-      "path": "data/dev/numina-000035-0001-aa510daf33c34fb0.parquet",
-      "sha256": "aa510daf33c34fb03cbb71d3a10b06881ea12d2fd9dc71b78c3e766e271160f4",
       "bytes": 665848,
+      "path": "data/dev/pee/numina-000035-0001-aa510daf33c34fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "aa510daf33c34fb03cbb71d3a10b06881ea12d2fd9dc71b78c3e766e271160f4"
     },
     {
-      "path": "data/dev/numina-000035-0002-0704c74c82c30e0d.parquet",
-      "sha256": "0704c74c82c30e0dd6c33380b4502a995b96022b3850957f59d59f3308d498bc",
       "bytes": 345572,
+      "path": "data/dev/pee/numina-000035-0002-0704c74c82c30e0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "0704c74c82c30e0dd6c33380b4502a995b96022b3850957f59d59f3308d498bc"
     }
-  ],
-  "proof_ids": [
-    "numina:43646bbd-3091-5e88-b403-4ce9e5878399",
-    "numina:7dcf1d43-f892-504a-afc3-cfde77c1d8cb",
-    "numina:8e1a276f-d516-55b3-b5cb-9309bb08bb26",
-    "numina:9b519dc3-987c-5b74-9d43-fcc5851d3377",
-    "numina:d6f67153-ea3f-5a92-8991-84576f8198f2"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000175.lean\",\"bc4ca25e1977aa74e2934d254351f1e89485b213317a8d9109dcf779ed64d781\",0,\"number_theory_8521\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000176.lean\",\"62c0872b90576fc1f227755e6b7a94f94e95a8ee7308c4f757f905510d97561e\",0,\"number_theory_8522\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000177.lean\",\"cc63ec0a6b2ccecd08eeac3f7002fd43831a06f1f3711f293945f708f41c94a1\",0,\"number_theory_8524\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000178.lean\",\"dd423cc2ee485ff3a48cfe5d1f07b46a686778635da7eb7ae8864af18259a82b\",0,\"number_theory_8528\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000179.lean\",\"bd9d541ab538f96c8fdc2f08b974756392edf082e5fc6471accc8d6f2a344fcb\",1,\"number_theory_8530_2\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000036.json b/manifests/batches/numina/000036.json
index 0e653c37f6d761b7bc5c2d83702e84b6463fdf7b..e50a30a6dd093b6fa8e57badb5c38df9909a3236 100644
--- a/manifests/batches/numina/000036.json
+++ b/manifests/batches/numina/000036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000036",
   "batch_fingerprint": "02e6e60717220538f1ddc43414a925621b44e48d3cc9cadbd5b683d0097e032e",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 85,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000036-0000-948ab708a3057048.parquet",
-      "sha256": "948ab708a30570483e48bbf62720c39d4fe37900743225e1698f7ac111109a2d",
-      "bytes": 457827,
-      "rows": 53,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000036-0001-040c5002d93b9938.parquet",
-      "sha256": "040c5002d93b993832b579aad312e61bc3151fb30fbe2da4007d9c9f081ad180",
-      "bytes": 596288,
-      "rows": 2,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000036-0002-9aea9d7a38a4d465.parquet",
-      "sha256": "9aea9d7a38a4d465f0bfcfc72c8042a563daea12ebf67c3eb887df49b3ee30ec",
-      "bytes": 437972,
-      "rows": 30,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ea985d1-857f-58e2-85d6-ef50e680a56c",
     "numina:210668e4-c162-532c-a6b1-a6454a1a013e",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000182.lean\",\"699b29625610efb097524db78d5a332a263552742ca72087b30b938fb9902876\",0,\"number_theory_8537\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000183.lean\",\"c767880537c9a55faf17abf61cbbcb7c0dcf9fcd7668f92187942f941a814cfd\",0,\"number_theory_8538\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000184.lean\",\"b3d81a965c0972934a9c160c4970571037638343c4b70a3b89a97ae7e0b803d1\",0,\"number_theory_8539\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 457827,
+      "path": "data/train/p8c/numina-000036-0000-948ab708a3057048.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "948ab708a30570483e48bbf62720c39d4fe37900743225e1698f7ac111109a2d"
+    },
+    {
+      "bytes": 596288,
+      "path": "data/train/p8c/numina-000036-0001-040c5002d93b9938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "040c5002d93b993832b579aad312e61bc3151fb30fbe2da4007d9c9f081ad180"
+    },
+    {
+      "bytes": 437972,
+      "path": "data/train/p8c/numina-000036-0002-9aea9d7a38a4d465.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9aea9d7a38a4d465f0bfcfc72c8042a563daea12ebf67c3eb887df49b3ee30ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000037.json b/manifests/batches/numina/000037.json
index ce3bcc95ca63214e718d5fa73a583c1846009b48..94665a9bd13f78dcdf3c72b54880eb1952cfec25 100644
--- a/manifests/batches/numina/000037.json
+++ b/manifests/batches/numina/000037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000037",
   "batch_fingerprint": "8b0f6d994650b2f2c1707579507b081c30603306af8e95e5f460b312625d0bb6",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 58,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000037-0000-309be8dee5c2f2b7.parquet",
-      "sha256": "309be8dee5c2f2b725e6118a00dd8f26fb7556997e168143d1be5342bdada2f4",
-      "bytes": 424056,
-      "rows": 27,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000037-0001-0cc214ae64825854.parquet",
-      "sha256": "0cc214ae64825854241a51f0646f66a4e9558e0ac05b0466ec1ede59f7856d6e",
-      "bytes": 442761,
-      "rows": 31,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15b9d7c3-9afa-5d82-b2e6-7dd5e114b9b8",
     "numina:7608de6c-5cf6-5d78-be23-c1b36ea9e3f5",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000186.lean\",\"d52841b339ae4d3190abd72b4df5ed7420b2476457df7a8b4741663de82d47a7\",0,\"number_theory_8545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000188.lean\",\"4ce6c9e895e7ad4ce82b26aa1068783986c0b857a51b0fd43129e2f4345a32fe\",0,\"number_theory_8550\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000189.lean\",\"2e284e408be83b231fc090c8691b5ff5bb0b09430e84fc3345be9d71d022eac7\",0,\"number_theory_8557\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424056,
+      "path": "data/train/p99/numina-000037-0000-309be8dee5c2f2b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "309be8dee5c2f2b725e6118a00dd8f26fb7556997e168143d1be5342bdada2f4"
+    },
+    {
+      "bytes": 442761,
+      "path": "data/train/p99/numina-000037-0001-0cc214ae64825854.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "0cc214ae64825854241a51f0646f66a4e9558e0ac05b0466ec1ede59f7856d6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000038.json b/manifests/batches/numina/000038.json
index 186b84862f448bcb8001c8ba5973b792c464077f..8664ef75aa481477a6d5b976d006ff417baf075e 100644
--- a/manifests/batches/numina/000038.json
+++ b/manifests/batches/numina/000038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000038",
   "batch_fingerprint": "c8c66792b0954eebb89550272b517e477c7e62f48497e60cadb806f86b6baff0",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 64,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000038-0000-03ebfa76d6f7350f.parquet",
-      "sha256": "03ebfa76d6f7350f9400c1b823fddcda28100249409c0f1de7ea458ae67ba223",
-      "bytes": 679778,
-      "rows": 61,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    },
-    {
-      "path": "data/train/numina-000038-0001-6eab704dbe918fc2.parquet",
-      "sha256": "6eab704dbe918fc23e234c76635132ea19f87471358de7b56abb02e2eaa20c2d",
-      "bytes": 69164,
-      "rows": 3,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00cc50c4-3908-5b65-be84-9bb13c449b54",
     "numina:384da7a0-b4aa-5e93-ba91-9d14c0c20fc8",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000192.lean\",\"434ef0932b587cf05869b291e3bb7dd1732622aa94508baf4569a5841ef5d7b1\",0,\"number_theory_8564\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000193.lean\",\"c1223b008268a09af3dfc96b2f80fd20883410b033be596148fb5c525fe28e90\",0,\"number_theory_8572\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000194.lean\",\"80a7c5ec41521c3cc7d59d79e8faaa35fad07844fc30211202e1b8bf85140fbb\",0,\"number_theory_8574\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 679778,
+      "path": "data/train/paf/numina-000038-0000-03ebfa76d6f7350f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "03ebfa76d6f7350f9400c1b823fddcda28100249409c0f1de7ea458ae67ba223"
+    },
+    {
+      "bytes": 69164,
+      "path": "data/train/paf/numina-000038-0001-6eab704dbe918fc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6eab704dbe918fc23e234c76635132ea19f87471358de7b56abb02e2eaa20c2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000039.json b/manifests/batches/numina/000039.json
index 8c774fa8cd49dec8826f03afa84a392a8325f9a8..430c2821c6824af3e8fa032e253c1eb6407100ec 100644
--- a/manifests/batches/numina/000039.json
+++ b/manifests/batches/numina/000039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000039",
   "batch_fingerprint": "1d70d324aef07eb8336771a939694c2797e20dc4a0dd6dcd2d7f01a77eb0f565",
   "evidence": {
@@ -34,38 +33,39 @@
     "transitions": 76,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:227f17e1-a8c3-59d5-a6cc-16e89a959f6e",
+    "numina:c5dd6d0d-6e21-51aa-b2fd-64e5c54b4790",
+    "numina:ea6a5138-2e1f-56af-8080-03367d12df8e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000195.lean\",\"31c2207649e4fa07119fb00dc0c6f191939cf86e36a82155a4e46154a1c79189\",0,\"number_theory_8575\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000196.lean\",\"c2466e9afa072d879b0af1d2cccb12bfdb7e35227fece56ee54f5c24c6e7696b\",0,\"number_theory_8583\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000197.lean\",\"38eb9a4f9e1423e6ce5a23a348cc80c11b694a34cdc3e895153384dd8d77271b\",0,\"number_theory_8583\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000198.lean\",\"73343df1b5a75b789d6d96089b1497fccfee7c1415146083e5297e8fddc3e658\",0,\"number_theory_8586\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000039-0000-9da692625cd96960.parquet",
-      "sha256": "9da692625cd96960a45e7c8138380774f31faeecd519306f4c03091ec0dda334",
       "bytes": 566769,
+      "path": "data/train/pc0/numina-000039-0000-9da692625cd96960.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "9da692625cd96960a45e7c8138380774f31faeecd519306f4c03091ec0dda334"
     },
     {
-      "path": "data/train/numina-000039-0001-a5ba215dc4c52e3c.parquet",
-      "sha256": "a5ba215dc4c52e3c8faf9fe82e062e1f5ba8acf2a446738e81fe10d68f47021f",
       "bytes": 283960,
+      "path": "data/train/pc0/numina-000039-0001-a5ba215dc4c52e3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "a5ba215dc4c52e3c8faf9fe82e062e1f5ba8acf2a446738e81fe10d68f47021f"
     },
     {
-      "path": "data/dev/numina-000039-0000-005979f4bef0f356.parquet",
-      "sha256": "005979f4bef0f3569dddaa6422aff64f19d5223149a1179cef5b65cf6f51eef3",
       "bytes": 436357,
+      "path": "data/dev/pc0/numina-000039-0000-005979f4bef0f356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "2bfa22b7a36edd2613e6384003d4fdeaa9cf21e1"
+      "sha256": "005979f4bef0f3569dddaa6422aff64f19d5223149a1179cef5b65cf6f51eef3"
     }
-  ],
-  "proof_ids": [
-    "numina:227f17e1-a8c3-59d5-a6cc-16e89a959f6e",
-    "numina:c5dd6d0d-6e21-51aa-b2fd-64e5c54b4790",
-    "numina:ea6a5138-2e1f-56af-8080-03367d12df8e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000195.lean\",\"31c2207649e4fa07119fb00dc0c6f191939cf86e36a82155a4e46154a1c79189\",0,\"number_theory_8575\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000196.lean\",\"c2466e9afa072d879b0af1d2cccb12bfdb7e35227fece56ee54f5c24c6e7696b\",0,\"number_theory_8583\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000197.lean\",\"38eb9a4f9e1423e6ce5a23a348cc80c11b694a34cdc3e895153384dd8d77271b\",0,\"number_theory_8583\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000198.lean\",\"73343df1b5a75b789d6d96089b1497fccfee7c1415146083e5297e8fddc3e658\",0,\"number_theory_8586\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000040.json b/manifests/batches/numina/000040.json
index 8e627c7e2c1816559b2889659328b01b7c01525c..591424d67ee69030d53996bc3f961e596056217e 100644
--- a/manifests/batches/numina/000040.json
+++ b/manifests/batches/numina/000040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000040",
   "batch_fingerprint": "c4794ae1943376cc623740fbd610fcb5b08c49558dbcc5e2c730d0da1c6f1c2f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 62,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000040-0000-ec0d8406cf964773.parquet",
-      "sha256": "ec0d8406cf9647737ae70ff6bfb16e0740e7de0add21c125e8bdc7b3518ffd9f",
-      "bytes": 596048,
-      "rows": 62,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ae2354f-c34c-5d30-8726-ad8f563fba9a",
     "numina:44efdbfa-aeb6-5bd3-bdf1-e7b0a23c67af",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000202.lean\",\"34b423637009ce1549f4637863fd030f81146110b798f05c520e3f351b9d6a3a\",0,\"number_theory_8604\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000203.lean\",\"4ceca6cb1b1fa19b21627c139fdd6775d83dfcd5d627bcf9fcb0576199e2a14f\",0,\"number_theory_8611\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000204.lean\",\"45366220e73d44ebf9b9c52f53ee55f67ad555d230d4af9cd5c20b956fb742d0\",0,\"number_theory_8612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 596048,
+      "path": "data/train/p83/numina-000040-0000-ec0d8406cf964773.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "ec0d8406cf9647737ae70ff6bfb16e0740e7de0add21c125e8bdc7b3518ffd9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000041.json b/manifests/batches/numina/000041.json
index 17086633700723aa2074a53bacdfdc439f0fca46..416bfee7c1d08739c0bb5fe3ff2b8f09377f682b 100644
--- a/manifests/batches/numina/000041.json
+++ b/manifests/batches/numina/000041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000041",
   "batch_fingerprint": "a99e959859e74cc136709c11dff9954806de75826f0460a6db1c0ecf4c310856",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000041-0000-2d8997879c334e19.parquet",
-      "sha256": "2d8997879c334e19eb93a0e98b77122cdae4df5bf9bcad9535a391a3e917842b",
-      "bytes": 177156,
-      "rows": 18,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/dev/numina-000041-0000-1a3489f003303099.parquet",
-      "sha256": "1a3489f00330309958ee928b2f2c2f0fc700c5a6763d252cb75116b716641ccb",
-      "bytes": 101778,
-      "rows": 6,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/internal_test/numina-000041-0000-ddedaded81b1ff5a.parquet",
-      "sha256": "ddedaded81b1ff5a037869e2e81bcc2a306abd30540808d4d1ac8089e5f0d805",
-      "bytes": 39571,
-      "rows": 10,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9365cc32-3ef6-564d-98f3-19bdfc415dd9",
     "numina:980192a2-50ba-5767-9d4b-4ce50f6dab56",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000207.lean\",\"40af5353b6e7dd515e95321c2607ddc4629dd3a891140c24b195f28a5fe3b022\",0,\"number_theory_8619\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000208.lean\",\"bca6fd4d3494e2b0cf5cc52296db966857fdd7f11b300c6b8ccab9da22218c5c\",0,\"number_theory_8625\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000209.lean\",\"e0d40a7bebd36f7a49ad242179464b6b0e6c6b4a7bc581294f4884b24a543720\",0,\"number_theory_8629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177156,
+      "path": "data/train/pe3/numina-000041-0000-2d8997879c334e19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2d8997879c334e19eb93a0e98b77122cdae4df5bf9bcad9535a391a3e917842b"
+    },
+    {
+      "bytes": 101778,
+      "path": "data/dev/pe3/numina-000041-0000-1a3489f003303099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1a3489f00330309958ee928b2f2c2f0fc700c5a6763d252cb75116b716641ccb"
+    },
+    {
+      "bytes": 39571,
+      "path": "data/internal_test/pe3/numina-000041-0000-ddedaded81b1ff5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ddedaded81b1ff5a037869e2e81bcc2a306abd30540808d4d1ac8089e5f0d805"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000042.json b/manifests/batches/numina/000042.json
index 4c5b436da9a44dc7c5dfd9c87970cea6c2a51e33..8cb364e5c8dfc32ad641adb4202382146139da74 100644
--- a/manifests/batches/numina/000042.json
+++ b/manifests/batches/numina/000042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000042",
   "batch_fingerprint": "250d32f6d8801401095d30abdd8790b35ca13ad60d246d41a6598d692bce5ef0",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 57,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000042-0000-938735c57434e411.parquet",
-      "sha256": "938735c57434e41196c75aa37a3c01fd2df520babf0c65659ece96bd5f06cdae",
-      "bytes": 383198,
-      "rows": 57,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:860296ed-18b4-5bd4-b25c-ed4dceec24ef",
     "numina:bba0f2fc-59ac-52cf-9986-d51c95493c44",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000211.lean\",\"a99d971a21d7850a008dbbd2e79d41aaf7e42aa8cc27b761084c45e16fd2f90f\",0,\"number_theory_8633\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000212.lean\",\"805c9e2d0188a2b0044241b6fac3aa83ca16711d1fedf33081a31b227d1a5f50\",0,\"number_theory_8637\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000214.lean\",\"ae5b52e1e3db160db0c13441fe417a18ee340a7bae8b25e6b2b4c8ecff4ddffd\",1,\"number_theory_8642_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383198,
+      "path": "data/train/p82/numina-000042-0000-938735c57434e411.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "938735c57434e41196c75aa37a3c01fd2df520babf0c65659ece96bd5f06cdae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000043.json b/manifests/batches/numina/000043.json
index 22b6b20f7bd970818e7512faaabeb26a1dc4236e..9b352daec71818cd93440ec4e7a83e11a1e231d3 100644
--- a/manifests/batches/numina/000043.json
+++ b/manifests/batches/numina/000043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000043",
   "batch_fingerprint": "812f4072434f1e5e0a82a2c7b72aa23d2e1a3159a46d9796299c2e6887d6cda5",
   "evidence": {
@@ -34,60 +33,61 @@
     "transitions": 63,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0f45b1dc-81ea-57f3-a5e1-ad2f4d13c604",
+    "numina:13c3630a-7ddd-57aa-8736-dba05a67e0b8",
+    "numina:3d067cb1-8d91-58da-b62a-4ee1c5331393",
+    "numina:ec480838-02d0-5921-9c66-7fd591f52ae5"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000215.lean\",\"2d2c5c7b71ba6f34d22d7d3900b8c6b92171384070f86b4e9c470c8e51d4ae4e\",0,\"number_theory_8648\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000216.lean\",\"692952340c9248d99b4265cca65102245f7df375033f516696c24cab9751bd80\",1,\"number_theory_8651\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000217.lean\",\"294b7f91aba14cc809ac92282e63d8656039f086077a76692026ef62eb4ea969\",1,\"number_theory_8657\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000218.lean\",\"ae8dc74e8332f5bcfaabaf31509e07ba08397d2d8be7365cb3ef385021560643\",0,\"number_theory_8659\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000043-0000-691c848f1ae4f4f4.parquet",
-      "sha256": "691c848f1ae4f4f48c03bb9b91c724a35a248122b0fdaad1eac691d08cf9b589",
       "bytes": 174083,
+      "path": "data/train/p67/numina-000043-0000-691c848f1ae4f4f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "691c848f1ae4f4f48c03bb9b91c724a35a248122b0fdaad1eac691d08cf9b589"
     },
     {
-      "path": "data/train/numina-000043-0001-06fbb47804b164b3.parquet",
-      "sha256": "06fbb47804b164b38007cea3035a35a1128914b93c72827f12af189d2fc114c7",
       "bytes": 497902,
+      "path": "data/train/p67/numina-000043-0001-06fbb47804b164b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "06fbb47804b164b38007cea3035a35a1128914b93c72827f12af189d2fc114c7"
     },
     {
-      "path": "data/train/numina-000043-0002-d183470fcbcb6ba9.parquet",
-      "sha256": "d183470fcbcb6ba906227a3f0083d133c8066ea3226c40f40cf1c58b336a806d",
       "bytes": 441843,
+      "path": "data/train/p67/numina-000043-0002-d183470fcbcb6ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "d183470fcbcb6ba906227a3f0083d133c8066ea3226c40f40cf1c58b336a806d"
     },
     {
-      "path": "data/train/numina-000043-0003-b484b0f4e469da7b.parquet",
-      "sha256": "b484b0f4e469da7bcb95e05437085c3ac0348dfa3adb3bf88ff56a494f129155",
       "bytes": 870699,
+      "path": "data/train/p67/numina-000043-0003-b484b0f4e469da7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "b484b0f4e469da7bcb95e05437085c3ac0348dfa3adb3bf88ff56a494f129155"
     },
     {
-      "path": "data/train/numina-000043-0004-fed2263a5567a8bf.parquet",
-      "sha256": "fed2263a5567a8bff79413f6b2e98700436f464706d38eaeb9b6615215969169",
       "bytes": 380854,
+      "path": "data/train/p67/numina-000043-0004-fed2263a5567a8bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "fed2263a5567a8bff79413f6b2e98700436f464706d38eaeb9b6615215969169"
     },
     {
-      "path": "data/train/numina-000043-0005-bb2246c0d138a633.parquet",
-      "sha256": "bb2246c0d138a633df9d875cb21e5ce78bee411c774972329857b368756a1cc9",
       "bytes": 84816,
+      "path": "data/train/p67/numina-000043-0005-bb2246c0d138a633.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "bb2246c0d138a633df9d875cb21e5ce78bee411c774972329857b368756a1cc9"
     }
-  ],
-  "proof_ids": [
-    "numina:0f45b1dc-81ea-57f3-a5e1-ad2f4d13c604",
-    "numina:13c3630a-7ddd-57aa-8736-dba05a67e0b8",
-    "numina:3d067cb1-8d91-58da-b62a-4ee1c5331393",
-    "numina:ec480838-02d0-5921-9c66-7fd591f52ae5"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000215.lean\",\"2d2c5c7b71ba6f34d22d7d3900b8c6b92171384070f86b4e9c470c8e51d4ae4e\",0,\"number_theory_8648\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000216.lean\",\"692952340c9248d99b4265cca65102245f7df375033f516696c24cab9751bd80\",1,\"number_theory_8651\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000217.lean\",\"294b7f91aba14cc809ac92282e63d8656039f086077a76692026ef62eb4ea969\",1,\"number_theory_8657\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000218.lean\",\"ae8dc74e8332f5bcfaabaf31509e07ba08397d2d8be7365cb3ef385021560643\",0,\"number_theory_8659\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000044.json b/manifests/batches/numina/000044.json
index b33fd7d73c043894ae8d44393a9c12549aeefddd..520c9bf6273f0595dfb5f53bf7835f562b8702c8 100644
--- a/manifests/batches/numina/000044.json
+++ b/manifests/batches/numina/000044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000044",
   "batch_fingerprint": "ffa4dc7fe0df40c66c9c535e01c0b40d5cf964ce148652efaed04bd082a45ccc",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 68,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:408e6f83-ec3d-5040-8b99-68e75ced8535",
+    "numina:603959a0-dd87-569d-8782-2cdb2eedf149",
+    "numina:6e956bf4-eac1-5a22-9608-84e56291d5bf",
+    "numina:b30a21cb-7901-55db-8df3-0c5b973cc62c",
+    "numina:ebb71a50-4f4e-5660-83f1-81b74e2fd715"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000220.lean\",\"7a725afd57d6993d2f308d551f9e39d787e8ebb07dcc74138b0bf877eb9c4fcd\",0,\"number_theory_8663\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000221.lean\",\"a947c56eec72362ae1db718c6c68c8d0231e2af0b8eb88b7ef9b02406f2ce9ae\",0,\"number_theory_8665\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000222.lean\",\"67cf2795e17f1195be53e001a80cff259443745ce9e3059ef0683add7c1aca14\",0,\"number_theory_8670\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000223.lean\",\"89852adc79048f641e97669a7dfa3c9be52b45234112860ad52e3346205f2504\",0,\"number_theory_8676\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000224.lean\",\"cea90664d33d40c3aa22412609af5cd257899cb6296aa0e8fa4499dff4f6c7a4\",0,\"number_theory_8680\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000044-0000-910947e2392513c7.parquet",
-      "sha256": "910947e2392513c746629c0f4b8b407663f525d4e7966447eaa674f427b10fa9",
       "bytes": 532077,
+      "path": "data/train/p77/numina-000044-0000-910947e2392513c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 33,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "910947e2392513c746629c0f4b8b407663f525d4e7966447eaa674f427b10fa9"
     },
     {
-      "path": "data/train/numina-000044-0001-ec82367ee432ff23.parquet",
-      "sha256": "ec82367ee432ff2349769f93fae33be24a38026c9b56856b6b928316fc04fec1",
       "bytes": 383120,
+      "path": "data/train/p77/numina-000044-0001-ec82367ee432ff23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "ec82367ee432ff2349769f93fae33be24a38026c9b56856b6b928316fc04fec1"
     },
     {
-      "path": "data/train/numina-000044-0002-ca31da2f23550c22.parquet",
-      "sha256": "ca31da2f23550c22b1c2613536234923d74109145166171a86a4b79db0251784",
       "bytes": 217016,
+      "path": "data/train/p77/numina-000044-0002-ca31da2f23550c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "ca31da2f23550c22b1c2613536234923d74109145166171a86a4b79db0251784"
     },
     {
-      "path": "data/train/numina-000044-0003-62b255be3665b296.parquet",
-      "sha256": "62b255be3665b29683feca8515135831b74838419e62fc445b59b1ed213bd0bd",
       "bytes": 526670,
+      "path": "data/train/p77/numina-000044-0003-62b255be3665b296.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "62b255be3665b29683feca8515135831b74838419e62fc445b59b1ed213bd0bd"
     }
-  ],
-  "proof_ids": [
-    "numina:408e6f83-ec3d-5040-8b99-68e75ced8535",
-    "numina:603959a0-dd87-569d-8782-2cdb2eedf149",
-    "numina:6e956bf4-eac1-5a22-9608-84e56291d5bf",
-    "numina:b30a21cb-7901-55db-8df3-0c5b973cc62c",
-    "numina:ebb71a50-4f4e-5660-83f1-81b74e2fd715"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000220.lean\",\"7a725afd57d6993d2f308d551f9e39d787e8ebb07dcc74138b0bf877eb9c4fcd\",0,\"number_theory_8663\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000221.lean\",\"a947c56eec72362ae1db718c6c68c8d0231e2af0b8eb88b7ef9b02406f2ce9ae\",0,\"number_theory_8665\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000222.lean\",\"67cf2795e17f1195be53e001a80cff259443745ce9e3059ef0683add7c1aca14\",0,\"number_theory_8670\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000223.lean\",\"89852adc79048f641e97669a7dfa3c9be52b45234112860ad52e3346205f2504\",0,\"number_theory_8676\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000224.lean\",\"cea90664d33d40c3aa22412609af5cd257899cb6296aa0e8fa4499dff4f6c7a4\",0,\"number_theory_8680\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000045.json b/manifests/batches/numina/000045.json
index c2ac7b96fd845dadc3fbb77f16695810c0e6dbde..a022f8852263c8e637177039b78f77641917f04b 100644
--- a/manifests/batches/numina/000045.json
+++ b/manifests/batches/numina/000045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000045",
   "batch_fingerprint": "ebca2f3bf636f95b9d7020181df346c9a597c834633bc95b07bc19042d1abf6a",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 61,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000045-0000-84d4b327bbfbd4af.parquet",
-      "sha256": "84d4b327bbfbd4afc30f99cab39b5b52196c3070747357f17f228c44f55e3094",
-      "bytes": 352872,
-      "rows": 30,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000045-0001-fc12ffcf2193292e.parquet",
-      "sha256": "fc12ffcf2193292e5e17a32423993d9e9b0aa179625a9eb96881257b51c1320e",
-      "bytes": 733779,
-      "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000045-0002-06f349e90d62f9c8.parquet",
-      "sha256": "06f349e90d62f9c8eafd5af64cc1416c5e4640ec4e91cb57eb72931681ecfd2e",
-      "bytes": 462078,
-      "rows": 30,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f2a4c18-85be-511a-928a-50016154d619",
     "numina:6744d2d0-96cb-59af-a8e1-51faa320249e",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000227.lean\",\"61c0c7b0020850de7792bda50345af3780834ed8fa5ab51d019bcb77c945e8d3\",0,\"number_theory_8692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000228.lean\",\"5c4d0a5db5fd5e3c6d0b96f6050ab471d3649935849de455242fe029c8384c32\",0,\"number_theory_8697\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000229.lean\",\"f6b03aea79c1e1c80baa1e698554e59445a0f6024f3c3479c474d3217b3eb405\",0,\"number_theory_8698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352872,
+      "path": "data/train/pc2/numina-000045-0000-84d4b327bbfbd4af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "84d4b327bbfbd4afc30f99cab39b5b52196c3070747357f17f228c44f55e3094"
+    },
+    {
+      "bytes": 733779,
+      "path": "data/train/pc2/numina-000045-0001-fc12ffcf2193292e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fc12ffcf2193292e5e17a32423993d9e9b0aa179625a9eb96881257b51c1320e"
+    },
+    {
+      "bytes": 462078,
+      "path": "data/train/pc2/numina-000045-0002-06f349e90d62f9c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "06f349e90d62f9c8eafd5af64cc1416c5e4640ec4e91cb57eb72931681ecfd2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000046.json b/manifests/batches/numina/000046.json
index 64db42c2db5118818793bc6c323e5596ba1ee6f4..9f09132e2ef513dd7fd026b73cdfd3b3bcb4f07f 100644
--- a/manifests/batches/numina/000046.json
+++ b/manifests/batches/numina/000046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000046",
   "batch_fingerprint": "39aa2d3720ea73f7aab546179564b7d0d283990bc59cdafec0917490e8ba6034",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 121,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000046-0000-71f1357ff333d1a8.parquet",
-      "sha256": "71f1357ff333d1a808f51dba392a01ff1080165322c9b0696b5f562fe0cb5224",
-      "bytes": 629237,
-      "rows": 36,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000046-0001-3e47b033d3479892.parquet",
-      "sha256": "3e47b033d34798920589f7ce0c5cc7a2d762bd91e5bb68302cc7dca0675932e1",
-      "bytes": 630062,
-      "rows": 62,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000046-0002-e8f0ae70a314f4fd.parquet",
-      "sha256": "e8f0ae70a314f4fd8baaf514b6fede64a292c8e6bd079287252389d0335f9738",
-      "bytes": 233717,
-      "rows": 23,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a9db84d-3399-5276-8f5f-35a15d9d8ece",
     "numina:4e88db3e-bca0-5839-becf-8d363e9091e5",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000232.lean\",\"8f42d3ccdb77c66a43de440d3b45e050ae4e7886d101c99cd8dcfeed56d5cc77\",0,\"number_theory_8707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000233.lean\",\"bec888b077a20e85dad4f7af220e397ea4a81edb75c7e375cc7ea5f56e3aa0aa\",0,\"number_theory_8710\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000234.lean\",\"bbddcb1cf1e504303c674198241eaa641ca92ba1a63fd751c01876872f4e8b3c\",0,\"number_theory_8718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 629237,
+      "path": "data/train/p2d/numina-000046-0000-71f1357ff333d1a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "71f1357ff333d1a808f51dba392a01ff1080165322c9b0696b5f562fe0cb5224"
+    },
+    {
+      "bytes": 630062,
+      "path": "data/train/p2d/numina-000046-0001-3e47b033d3479892.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "3e47b033d34798920589f7ce0c5cc7a2d762bd91e5bb68302cc7dca0675932e1"
+    },
+    {
+      "bytes": 233717,
+      "path": "data/train/p2d/numina-000046-0002-e8f0ae70a314f4fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "e8f0ae70a314f4fd8baaf514b6fede64a292c8e6bd079287252389d0335f9738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000047.json b/manifests/batches/numina/000047.json
index badc176aba36021096afb7aaf69a61e23addb097..895f1d57162a04fb6855a3de74cca3c78d924c9d 100644
--- a/manifests/batches/numina/000047.json
+++ b/manifests/batches/numina/000047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000047",
   "batch_fingerprint": "7a2eb57d4fd03479888aa72b74ec251dbf667faacc7b6008b35de9e2846db467",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 23,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000047-0000-1dc647b8bfed63b1.parquet",
-      "sha256": "1dc647b8bfed63b1449b8ca93f80e7b6b2fe241cc9d0c34f65ccae0a4000f21b",
-      "bytes": 287459,
-      "rows": 23,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13f2688a-8deb-5db1-9f89-54c4cd037b8e",
     "numina:7635675c-3ecb-51b3-a73b-caf24b452294",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000237.lean\",\"727c0e1c03564990be815eb283568deca73fce6dd6439c74e99d66cb634445ac\",0,\"number_theory_8721\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000238.lean\",\"8267300dc024603b8b140a5f1d13baf7ccacd83687e62d88b331d43ff4c8983b\",0,\"number_theory_8735\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000239.lean\",\"8267300dc024603b8b140a5f1d13baf7ccacd83687e62d88b331d43ff4c8983b\",0,\"number_theory_8735\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287459,
+      "path": "data/train/pb6/numina-000047-0000-1dc647b8bfed63b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "1dc647b8bfed63b1449b8ca93f80e7b6b2fe241cc9d0c34f65ccae0a4000f21b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000048.json b/manifests/batches/numina/000048.json
index 9572ed803638563b8c6a2a10badbe7fb9cfdb448..619358b2f704ed1267c5f53012688c18973177eb 100644
--- a/manifests/batches/numina/000048.json
+++ b/manifests/batches/numina/000048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000048",
   "batch_fingerprint": "c01554cc57bc67f5ba3629c89ff2567b364979e36772f4901490991d33ba142f",
   "evidence": {
@@ -14,55 +13,56 @@
     "transitions": 209,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:02889cb6-e15c-5c12-b826-60de1009f35c",
+    "numina:28b2ed1e-4976-53f7-a558-0cc216a332e8",
+    "numina:57054eca-404f-52d5-9e3d-62e475e9ddee",
+    "numina:a9b2a7a4-5a76-5af7-85da-94d2a00d15e4",
+    "numina:db11c282-1c5e-562c-b502-a0476bdb5b48"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000240.lean\",\"48c390924d0eb48971f58ab4ae3248671e77ed52aad9f7fd295073fc151e8968\",0,\"number_theory_8736\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000241.lean\",\"5e6809365be6356a4b37cb2af52e723c64253cf56bb82e12bd1dc5f3ecaf4d68\",0,\"number_theory_8737\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000242.lean\",\"13df4e9c0d40893a5e794d54638805444a9bc730fec113eddcc125aaa328c70f\",0,\"number_theory_8741\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000243.lean\",\"0ab4a8157963ffbaf7984a28f2c63bbed7478eb8fde1836fddab0bb89a477113\",0,\"number_theory_8747\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000244.lean\",\"8a2031304791cf8315d5b40b60bb0fa05c510f24a83351a6098123a3247644e1\",0,\"number_theory_8749\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000048-0000-057bb125055f39af.parquet",
-      "sha256": "057bb125055f39af661d878b855a1c21361eedbe6895de2890da6ad86b68fa4b",
       "bytes": 670104,
+      "path": "data/train/pd3/numina-000048-0000-057bb125055f39af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 70,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "057bb125055f39af661d878b855a1c21361eedbe6895de2890da6ad86b68fa4b"
     },
     {
-      "path": "data/train/numina-000048-0001-5c6ccf0b729046a7.parquet",
-      "sha256": "5c6ccf0b729046a751607fe5d4c5ed9dd99c0f7827e29c3e6d7c8f658d82f97c",
       "bytes": 765812,
+      "path": "data/train/pd3/numina-000048-0001-5c6ccf0b729046a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 34,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "5c6ccf0b729046a751607fe5d4c5ed9dd99c0f7827e29c3e6d7c8f658d82f97c"
     },
     {
-      "path": "data/train/numina-000048-0002-e6f1446f065ca0b5.parquet",
-      "sha256": "e6f1446f065ca0b50d30e5033d32d57e5605615adafc0ea62b333c1ff80c01b5",
       "bytes": 728635,
+      "path": "data/train/pd3/numina-000048-0002-e6f1446f065ca0b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 34,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "e6f1446f065ca0b50d30e5033d32d57e5605615adafc0ea62b333c1ff80c01b5"
     },
     {
-      "path": "data/train/numina-000048-0003-ecc1242f5130865f.parquet",
-      "sha256": "ecc1242f5130865fb03db096b1270420babd30fbdcf165d6e1ff1a67f9a0ec6f",
       "bytes": 578924,
+      "path": "data/train/pd3/numina-000048-0003-ecc1242f5130865f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 46,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "ecc1242f5130865fb03db096b1270420babd30fbdcf165d6e1ff1a67f9a0ec6f"
     },
     {
-      "path": "data/train/numina-000048-0004-e3ef8a7ea1cee1b2.parquet",
-      "sha256": "e3ef8a7ea1cee1b2ff7c303b95717450c97fe0d864b80b15d72a2795104101a4",
       "bytes": 538200,
+      "path": "data/train/pd3/numina-000048-0004-e3ef8a7ea1cee1b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "e3ef8a7ea1cee1b2ff7c303b95717450c97fe0d864b80b15d72a2795104101a4"
     }
-  ],
-  "proof_ids": [
-    "numina:02889cb6-e15c-5c12-b826-60de1009f35c",
-    "numina:28b2ed1e-4976-53f7-a558-0cc216a332e8",
-    "numina:57054eca-404f-52d5-9e3d-62e475e9ddee",
-    "numina:a9b2a7a4-5a76-5af7-85da-94d2a00d15e4",
-    "numina:db11c282-1c5e-562c-b502-a0476bdb5b48"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000240.lean\",\"48c390924d0eb48971f58ab4ae3248671e77ed52aad9f7fd295073fc151e8968\",0,\"number_theory_8736\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000241.lean\",\"5e6809365be6356a4b37cb2af52e723c64253cf56bb82e12bd1dc5f3ecaf4d68\",0,\"number_theory_8737\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000242.lean\",\"13df4e9c0d40893a5e794d54638805444a9bc730fec113eddcc125aaa328c70f\",0,\"number_theory_8741\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000243.lean\",\"0ab4a8157963ffbaf7984a28f2c63bbed7478eb8fde1836fddab0bb89a477113\",0,\"number_theory_8747\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000244.lean\",\"8a2031304791cf8315d5b40b60bb0fa05c510f24a83351a6098123a3247644e1\",0,\"number_theory_8749\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000049.json b/manifests/batches/numina/000049.json
index 680a422a91dede3731bc60fe268ab4e5f07a0431..adb6c05d97ae73d0039c7346b6c03f022e5b07a4 100644
--- a/manifests/batches/numina/000049.json
+++ b/manifests/batches/numina/000049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000049",
   "batch_fingerprint": "3b39d27f187c1ad671269e45b630010c7801df056ec02f87d84cdbb28e424dcb",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000049-0000-246defff752105ef.parquet",
-      "sha256": "246defff752105ef6c213b54bb374ab21e0a18ea7dc5f3c18cb9c23037312e82",
-      "bytes": 543226,
-      "rows": 30,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000049-0001-e3bdfbce1228fb5c.parquet",
-      "sha256": "e3bdfbce1228fb5cc74c4b0cd2fbc1dfecf511c0ab3673469d4d48fc290bb88b",
-      "bytes": 201913,
-      "rows": 2,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/dev/numina-000049-0000-05e40eeff85c1bfe.parquet",
-      "sha256": "05e40eeff85c1bfe99c7aab271f2b30dea50439d018f3a7f9fefd73cd33a2c8c",
-      "bytes": 98365,
-      "rows": 7,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:35d3697f-aac0-57e4-a68d-ef0d7e7907e8",
     "numina:3a6eb927-e75a-57f6-ba20-e353c4cd4e05",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000247.lean\",\"5b43e1f18cab8a5163dc630ec010464632f17e16e5604de1729a7bce67d219cf\",0,\"number_theory_610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000248.lean\",\"85342b5d7320f171d64832f98250e21fc9140522a9aeb6a7bedebf1536010d31\",0,\"number_theory_8770\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000249.lean\",\"665b178fba769798b11f374c299c071d9bc520a886d19370d3b99052fa3abe8d\",1,\"number_theory_8779\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543226,
+      "path": "data/train/pe2/numina-000049-0000-246defff752105ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "246defff752105ef6c213b54bb374ab21e0a18ea7dc5f3c18cb9c23037312e82"
+    },
+    {
+      "bytes": 201913,
+      "path": "data/train/pe2/numina-000049-0001-e3bdfbce1228fb5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e3bdfbce1228fb5cc74c4b0cd2fbc1dfecf511c0ab3673469d4d48fc290bb88b"
+    },
+    {
+      "bytes": 98365,
+      "path": "data/dev/pe2/numina-000049-0000-05e40eeff85c1bfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "05e40eeff85c1bfe99c7aab271f2b30dea50439d018f3a7f9fefd73cd33a2c8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000050.json b/manifests/batches/numina/000050.json
index 34eeb22e9b0a09c2e3655183a24c3b27746336ab..807eba3c82004a77120f3dbff8e2ca5748672dea 100644
--- a/manifests/batches/numina/000050.json
+++ b/manifests/batches/numina/000050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000050",
   "batch_fingerprint": "6ba7cc79fbc1bcaa648aa97a355e41e486f753589329d78b61fe85d1854dfd6e",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 75,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000050-0000-eec0ec12b6859fe7.parquet",
-      "sha256": "eec0ec12b6859fe710513d33a23de851b42affb09f9cad84a30276c4168fa796",
-      "bytes": 285246,
-      "rows": 49,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/dev/numina-000050-0000-427c26a1e708470d.parquet",
-      "sha256": "427c26a1e708470db9d01ed576f4fe303bfffeb432ad657ee3639642490c3089",
-      "bytes": 99765,
-      "rows": 26,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17f65a5e-86a5-58be-b3df-c98b731eb82e",
     "numina:763ea78c-e105-52c7-8023-5aa6d9ae52cb",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000252.lean\",\"1b92054fa9d8c69b13e24a52271b9d680c26293ffaeab06d8e345f0a95ec607c\",1,\"number_theory_8793_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000253.lean\",\"6c950f59b6a38a49bd52f00ff814c58ba6f2f65c1832b3e3168df1b755a2815b\",0,\"number_theory_8796\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000254.lean\",\"2ca5272b8576acde4f77e0073e4883f6259d0022c75bd678d8f9e12ace36b2bb\",0,\"number_theory_8799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285246,
+      "path": "data/train/pf4/numina-000050-0000-eec0ec12b6859fe7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "eec0ec12b6859fe710513d33a23de851b42affb09f9cad84a30276c4168fa796"
+    },
+    {
+      "bytes": 99765,
+      "path": "data/dev/pf4/numina-000050-0000-427c26a1e708470d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "427c26a1e708470db9d01ed576f4fe303bfffeb432ad657ee3639642490c3089"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000051.json b/manifests/batches/numina/000051.json
index 62ba78d8f536f6d7c059b8f4a594308072c1ecf5..bda59559447ab239392698c2d3ab8e339391556f 100644
--- a/manifests/batches/numina/000051.json
+++ b/manifests/batches/numina/000051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000051",
   "batch_fingerprint": "760c20eb359ea75213a9d34e58dd9b8f4b7228b251b76e0dcca54c1f0f7bf9dc",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 50,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:79552041-4b41-5cf6-a186-6011488b2573",
+    "numina:80b2b481-8d85-522a-a37f-1429045f5127",
+    "numina:8ce17ca8-e2c5-52e9-86df-b95a0a3b8dd1",
+    "numina:9bad1006-d641-5cc0-a49e-3517f8851a5f",
+    "numina:d173cef0-5435-5269-95ee-4728d979fd41"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000255.lean\",\"2fe8fbcbdb8f8ffd0afc45fcf8b00aaa0f197390efc347814867e5c875666cf3\",0,\"number_theory_8800\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000256.lean\",\"04b1cff014433367df5e91e210738a15b1c2e33e7204c057e0162b603d608ff1\",0,\"number_theory_8808\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000257.lean\",\"eb15e8b33b2ebf2a423de0c231b751248b20ba2a3f51528c938f7a73f309a1f9\",0,\"number_theory_8812\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000258.lean\",\"423e0c6dc6e7f759b0ae464f36c3a874c5e9e0e67f2fdd8461de67d452a6e40b\",0,\"number_theory_8821\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000259.lean\",\"35d2aa01b9dbd341aa2a6f4f16a28e761f2e34dae121e204ec2b4e5ea85f9ccf\",0,\"number_theory_8822\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000051-0000-40b4463612d2963c.parquet",
-      "sha256": "40b4463612d2963c66c81abbc60d77fa34f94af3d72f6f00bd26f3f164523c5f",
       "bytes": 672294,
+      "path": "data/train/p9a/numina-000051-0000-40b4463612d2963c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 45,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "40b4463612d2963c66c81abbc60d77fa34f94af3d72f6f00bd26f3f164523c5f"
     },
     {
-      "path": "data/internal_test/numina-000051-0000-aa4ee88e68e5c2d4.parquet",
-      "sha256": "aa4ee88e68e5c2d4e9642b1c09c752b506e46af57a233949592cf98dfc9e882f",
       "bytes": 32597,
+      "path": "data/internal_test/p9a/numina-000051-0000-aa4ee88e68e5c2d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "aa4ee88e68e5c2d4e9642b1c09c752b506e46af57a233949592cf98dfc9e882f"
     },
     {
-      "path": "data/internal_test/numina-000051-0001-bc0daca0aee645da.parquet",
-      "sha256": "bc0daca0aee645daab0411c05eac02c28774fcdb752d3c2ca302c8b54a01b91b",
       "bytes": 938048,
+      "path": "data/internal_test/p9a/numina-000051-0001-bc0daca0aee645da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "bc0daca0aee645daab0411c05eac02c28774fcdb752d3c2ca302c8b54a01b91b"
     },
     {
-      "path": "data/internal_test/numina-000051-0002-3ec1b1775e7c82f7.parquet",
-      "sha256": "3ec1b1775e7c82f7aef823704e4e72a5f828352071adb85246f7662e53eb8a62",
       "bytes": 55183,
+      "path": "data/internal_test/p9a/numina-000051-0002-3ec1b1775e7c82f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "3ec1b1775e7c82f7aef823704e4e72a5f828352071adb85246f7662e53eb8a62"
     }
-  ],
-  "proof_ids": [
-    "numina:79552041-4b41-5cf6-a186-6011488b2573",
-    "numina:80b2b481-8d85-522a-a37f-1429045f5127",
-    "numina:8ce17ca8-e2c5-52e9-86df-b95a0a3b8dd1",
-    "numina:9bad1006-d641-5cc0-a49e-3517f8851a5f",
-    "numina:d173cef0-5435-5269-95ee-4728d979fd41"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000255.lean\",\"2fe8fbcbdb8f8ffd0afc45fcf8b00aaa0f197390efc347814867e5c875666cf3\",0,\"number_theory_8800\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000256.lean\",\"04b1cff014433367df5e91e210738a15b1c2e33e7204c057e0162b603d608ff1\",0,\"number_theory_8808\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000257.lean\",\"eb15e8b33b2ebf2a423de0c231b751248b20ba2a3f51528c938f7a73f309a1f9\",0,\"number_theory_8812\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000258.lean\",\"423e0c6dc6e7f759b0ae464f36c3a874c5e9e0e67f2fdd8461de67d452a6e40b\",0,\"number_theory_8821\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000259.lean\",\"35d2aa01b9dbd341aa2a6f4f16a28e761f2e34dae121e204ec2b4e5ea85f9ccf\",0,\"number_theory_8822\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000052.json b/manifests/batches/numina/000052.json
index 2fae9da4168f85c643e14575a22a73971b8ab8a6..8a48a3eda9bb08181f2cc6247736c212c4aef84f 100644
--- a/manifests/batches/numina/000052.json
+++ b/manifests/batches/numina/000052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000052",
   "batch_fingerprint": "c0d5e45c53403d1f9cdfbdefad4a2228f10a610f98518605d863ccad74fb6d00",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 44,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000052-0000-788deaa790532a32.parquet",
-      "sha256": "788deaa790532a325a556dc60ce43cfa961650df64d75750841733840388e5b7",
-      "bytes": 544949,
-      "rows": 33,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/dev/numina-000052-0000-6a09a70013734bb0.parquet",
-      "sha256": "6a09a70013734bb08d530fea1ae80ad190becfadec9e9d58e9f4ea97ed96f848",
-      "bytes": 176301,
-      "rows": 11,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15af775a-0076-565d-8e88-becfca568409",
     "numina:35b2eb64-1a9e-5bed-bbe7-b7bf07ee1482",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000262.lean\",\"864fb4d35376cb1cd5ab9f772ab4e9dfe390ffa8a0518cabb0003a10caf9198a\",0,\"number_theory_8836\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000263.lean\",\"c34846b695cd2808cb4daa2b218760579e84a45433b612392d8077290c00545a\",0,\"number_theory_8840\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000264.lean\",\"98320a13012e078e5f5cc923c815d47a2956bcf06fbec910747645d016e3c824\",1,\"number_theory_8841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544949,
+      "path": "data/train/p15/numina-000052-0000-788deaa790532a32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "788deaa790532a325a556dc60ce43cfa961650df64d75750841733840388e5b7"
+    },
+    {
+      "bytes": 176301,
+      "path": "data/dev/p15/numina-000052-0000-6a09a70013734bb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6a09a70013734bb08d530fea1ae80ad190becfadec9e9d58e9f4ea97ed96f848"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000053.json b/manifests/batches/numina/000053.json
index 7ecaac9cbe12d2bf1db884f701427b851f63d3dc..68788a141b340668d674883060c265c2e09a3399 100644
--- a/manifests/batches/numina/000053.json
+++ b/manifests/batches/numina/000053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000053",
   "batch_fingerprint": "63c9ed64329bdd71e233f3cafb81355ec4bb65e3f29b4772cb0aefd9726f6105",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 36,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:09411bf2-a255-5107-ac5a-95825e7751c9",
+    "numina:1a74278c-6ffc-5475-84ef-d16b225435cb",
+    "numina:aeb7431f-4c2e-585b-a507-b28d45a3dbf0",
+    "numina:b4b6d22e-6a4f-564e-8ce3-a61518fdb645",
+    "numina:de3f8951-764d-5035-bc1e-37dd9619038f"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000265.lean\",\"9a9f2acc5a8d17762158e4e19ff580b036bc52fdc949b6d3a1a455f8e4919539\",0,\"number_theory_8844\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000266.lean\",\"654b26d222f93ea1118469444b19120323d6c104ded8dc44539d46176993845d\",0,\"number_theory_8849\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000267.lean\",\"1abb713fc060b56e6b585a8d5d81eb9985a9d428b88d03f74eacb3214ea3abfe\",0,\"number_theory_8850\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000268.lean\",\"6a6d2e48f904f330208b0476d6fd53a1727c40b2083097de3925b0ad6baa6b89\",0,\"number_theory_8854\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000269.lean\",\"ecc70e2b03b45c396d7ef1354d93ccf19c0be00d00c4a3a53555a1f963b40b9e\",0,\"number_theory_8856\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000053-0000-e2001b142d7fcb57.parquet",
-      "sha256": "e2001b142d7fcb57f3eebfd094cbfde41d147135f5d2be2950840139560e07c9",
       "bytes": 421288,
+      "path": "data/train/p6c/numina-000053-0000-e2001b142d7fcb57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "e2001b142d7fcb57f3eebfd094cbfde41d147135f5d2be2950840139560e07c9"
     },
     {
-      "path": "data/train/numina-000053-0001-1a9ec6889402ba3b.parquet",
-      "sha256": "1a9ec6889402ba3b2a484185a041521e15a52447a3f37478b289dec262602e23",
       "bytes": 221091,
+      "path": "data/train/p6c/numina-000053-0001-1a9ec6889402ba3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "1a9ec6889402ba3b2a484185a041521e15a52447a3f37478b289dec262602e23"
     },
     {
-      "path": "data/dev/numina-000053-0000-c54ff3b82e1fd6c1.parquet",
-      "sha256": "c54ff3b82e1fd6c1c8d5881c47582f8b4dab4729428d45847fd1fa4529ed15c9",
       "bytes": 113984,
+      "path": "data/dev/p6c/numina-000053-0000-c54ff3b82e1fd6c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "c54ff3b82e1fd6c1c8d5881c47582f8b4dab4729428d45847fd1fa4529ed15c9"
     },
     {
-      "path": "data/internal_test/numina-000053-0000-30bee95c1aba902e.parquet",
-      "sha256": "30bee95c1aba902ece153d889a41f7d2a2d90e8b98c5d599b8e59029279f8f57",
       "bytes": 86736,
+      "path": "data/internal_test/p6c/numina-000053-0000-30bee95c1aba902e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "30bee95c1aba902ece153d889a41f7d2a2d90e8b98c5d599b8e59029279f8f57"
     }
-  ],
-  "proof_ids": [
-    "numina:09411bf2-a255-5107-ac5a-95825e7751c9",
-    "numina:1a74278c-6ffc-5475-84ef-d16b225435cb",
-    "numina:aeb7431f-4c2e-585b-a507-b28d45a3dbf0",
-    "numina:b4b6d22e-6a4f-564e-8ce3-a61518fdb645",
-    "numina:de3f8951-764d-5035-bc1e-37dd9619038f"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000265.lean\",\"9a9f2acc5a8d17762158e4e19ff580b036bc52fdc949b6d3a1a455f8e4919539\",0,\"number_theory_8844\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000266.lean\",\"654b26d222f93ea1118469444b19120323d6c104ded8dc44539d46176993845d\",0,\"number_theory_8849\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000267.lean\",\"1abb713fc060b56e6b585a8d5d81eb9985a9d428b88d03f74eacb3214ea3abfe\",0,\"number_theory_8850\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000268.lean\",\"6a6d2e48f904f330208b0476d6fd53a1727c40b2083097de3925b0ad6baa6b89\",0,\"number_theory_8854\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000269.lean\",\"ecc70e2b03b45c396d7ef1354d93ccf19c0be00d00c4a3a53555a1f963b40b9e\",0,\"number_theory_8856\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000054.json b/manifests/batches/numina/000054.json
index 58286f47e7494f36ec4752b603cab2cc03f26452..ab030efca3301afb1ed305cb36860bb5b102e455 100644
--- a/manifests/batches/numina/000054.json
+++ b/manifests/batches/numina/000054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000054",
   "batch_fingerprint": "89b8182fe4d658fbbeac2070a71ed93ab704ef8bf3feb7e12781e7968c1ba622",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000054-0000-afa94cc01bd09560.parquet",
-      "sha256": "afa94cc01bd0956009b22a115394bcdb5cc112d92a334dc85bacde5aed65ca23",
-      "bytes": 193149,
-      "rows": 28,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f9ca213-2558-5f85-9be0-2aed42dcb362",
     "numina:39ab51c5-2d01-53e2-a85d-874b4e79010d",
@@ -53,5 +44,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000271.lean\",\"9127548f109418039ec28d1693a4aba0b8b3edf91213688319a32f27fef45040\",0,\"number_theory_8861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000272.lean\",\"027ec3e8d2b1ea427d0ab041b379c718d3546d54e24a1fecfdb517bbf28a9fd0\",0,\"number_theory_8861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000274.lean\",\"78f346c00b22b25583bc8856e16dea1d7498029a1dd1b714c6faa9e6ccd3ebd7\",0,\"number_theory_8868\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193149,
+      "path": "data/train/pb2/numina-000054-0000-afa94cc01bd09560.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "afa94cc01bd0956009b22a115394bcdb5cc112d92a334dc85bacde5aed65ca23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000055.json b/manifests/batches/numina/000055.json
index 41850f535179a05665ab2106034ba04448777de0..42372526fbc4e497d03d4019132b807b2260d0c5 100644
--- a/manifests/batches/numina/000055.json
+++ b/manifests/batches/numina/000055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000055",
   "batch_fingerprint": "a7e4179a913817deee56054580d639920cac70622519120e6411f266f2664903",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 56,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000055-0000-6e18f338be21fad6.parquet",
-      "sha256": "6e18f338be21fad64aa2b817bc6aa952fa484791f4d687638d3a05ccec100b36",
-      "bytes": 331126,
-      "rows": 48,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/dev/numina-000055-0000-79649020860b63b6.parquet",
-      "sha256": "79649020860b63b61417a665034c35d8587c47c18ff6dc128b43532c30452777",
-      "bytes": 98159,
-      "rows": 8,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6558ce37-af41-5337-861d-b4302db8a810",
     "numina:96e242be-a983-5517-9f08-a320516ae722",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000277.lean\",\"865de6f1abafe4f47d4f699b38c6d4a2f8522c54a9076bccdd7243d628db0cad\",0,\"number_theory_8876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000278.lean\",\"46c508d927988a05aff9495995f4c9c26c36353838c4c623c25c5900d802ec6c\",0,\"number_theory_8878\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000279.lean\",\"90efdf8c267e0b156930a8fbe224a2a6b7333fe622cd3af2c46157a83e207a35\",0,\"number_theory_8880\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331126,
+      "path": "data/train/p2b/numina-000055-0000-6e18f338be21fad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "6e18f338be21fad64aa2b817bc6aa952fa484791f4d687638d3a05ccec100b36"
+    },
+    {
+      "bytes": 98159,
+      "path": "data/dev/p2b/numina-000055-0000-79649020860b63b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "79649020860b63b61417a665034c35d8587c47c18ff6dc128b43532c30452777"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000056.json b/manifests/batches/numina/000056.json
index 06e9b7882bcbfabc280dc26f3b6aed9a35619d8b..042f7abfff18da431a65c6b8b5a60556af50b672 100644
--- a/manifests/batches/numina/000056.json
+++ b/manifests/batches/numina/000056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000056",
   "batch_fingerprint": "ff97c74bfb9e5155a0d4fea8497ef44a301568a9ba8e1736474ab9b43191b28e",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 65,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000056-0000-116136bd290e2fdf.parquet",
-      "sha256": "116136bd290e2fdff5e97354dd9589cee702447dd9ed1c56dfda3a8b2695f486",
-      "bytes": 557771,
-      "rows": 64,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000056-0001-49b76a466b58640e.parquet",
-      "sha256": "49b76a466b58640e94f8724b8a99bfa0b336bdfb94dbbb5906eb5ae5f3a16363",
-      "bytes": 343846,
-      "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c38eb9b-5dbe-551a-b5f4-57bc9c12b5ae",
     "numina:4ab54ef2-f75a-5389-ab8d-41582abfca59",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000282.lean\",\"0ef69a1d902afeb7eb519b8dd17354776d2912e572745b698596064fd146aa20\",0,\"number_theory_8893\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000283.lean\",\"344cb414433d1c374f44b292e3d855c4870b0a7ac7f6f638b20a42b33f37427c\",0,\"number_theory_8898\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000284.lean\",\"e875fe4d91f9a4347c12f25607f18298adfc56c735b83e05723ae29a3d1c1533\",0,\"number_theory_8905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 557771,
+      "path": "data/train/pe4/numina-000056-0000-116136bd290e2fdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "116136bd290e2fdff5e97354dd9589cee702447dd9ed1c56dfda3a8b2695f486"
+    },
+    {
+      "bytes": 343846,
+      "path": "data/train/pe4/numina-000056-0001-49b76a466b58640e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "49b76a466b58640e94f8724b8a99bfa0b336bdfb94dbbb5906eb5ae5f3a16363"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000057.json b/manifests/batches/numina/000057.json
index 5fc8fb1bca68f3e82b662728d64ad8a306bc018c..5c85c421ea4ab35be6bc054583489e54689e10d8 100644
--- a/manifests/batches/numina/000057.json
+++ b/manifests/batches/numina/000057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000057",
   "batch_fingerprint": "fd53365e35b5bd672bb4e636435e63ff600c6994dab1146a13ca7f72d3026ccf",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 54,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000057-0000-876d48e99c171802.parquet",
-      "sha256": "876d48e99c1718028fc35583d7213b7bae8590dd1769d479169cb66b4295254e",
-      "bytes": 664064,
-      "rows": 8,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/train/numina-000057-0001-21aa137bd14658ed.parquet",
-      "sha256": "21aa137bd14658ed86cc8c685e2616d56f4ca1c1ee8f2749983e8c478543f854",
-      "bytes": 596624,
-      "rows": 46,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e3aa532-eea2-515d-82ba-54f87e1ae393",
     "numina:79ec1299-cd29-563f-987a-b96e493acbd6",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000287.lean\",\"bf7a06eaca6ab6f90afef2367d6f85407b62ea2a9d4164cfa06351ff5158e7b4\",0,\"number_theory_8921\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000288.lean\",\"2a578b5f6d3b888d3b09e86dadaff512e91f38911e535ef826a338377579fe13\",0,\"number_theory_8925\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000289.lean\",\"6e6e490e4a36b1916d70eb1765340d7475c40da8565e3526ed032806bbe441d8\",0,\"number_theory_8930\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 664064,
+      "path": "data/train/p20/numina-000057-0000-876d48e99c171802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "876d48e99c1718028fc35583d7213b7bae8590dd1769d479169cb66b4295254e"
+    },
+    {
+      "bytes": 596624,
+      "path": "data/train/p20/numina-000057-0001-21aa137bd14658ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "21aa137bd14658ed86cc8c685e2616d56f4ca1c1ee8f2749983e8c478543f854"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000058.json b/manifests/batches/numina/000058.json
index e55f36ae782d43615bbe50426566a0c4ea60909a..45f1b991c9df4ded997aead2b6f4c00375a0c544 100644
--- a/manifests/batches/numina/000058.json
+++ b/manifests/batches/numina/000058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000058",
   "batch_fingerprint": "f59e5bbe1c59b62494148002b26966b6e3d6ee0f499feb5e30ee20e7055fb1be",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 55,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000058-0000-a76d0e304683f8af.parquet",
-      "sha256": "a76d0e304683f8af806113af1dd806a10c7187716e7a5363310e33b614bf61f6",
-      "bytes": 699403,
-      "rows": 27,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    },
-    {
-      "path": "data/internal_test/numina-000058-0000-c54c965a505e8fa1.parquet",
-      "sha256": "c54c965a505e8fa13cf0083567723a9b2f64ed931e2880f55173972b4bff1916",
-      "bytes": 144557,
-      "rows": 28,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04e5baaf-9c75-536b-86e3-c96aa89e36d5",
     "numina:26984c8e-0fc7-55be-a31f-664e75aa6a9c",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000292.lean\",\"4703f8538a8eefa64ab28ba4305e4185dfe065f9c1877b5dfe4fa58b9175c536\",1,\"number_theory_8939_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000293.lean\",\"33bb2f16490807336bcce2e9da3029f0695719e20428b3395e199fc9b079bec6\",0,\"number_theory_8946\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000294.lean\",\"936ac5237dafe500244f8ae529803ce33d8ca6b5bdeb7ec69bbe5117733735d8\",0,\"number_theory_8949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 699403,
+      "path": "data/train/pa4/numina-000058-0000-a76d0e304683f8af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "a76d0e304683f8af806113af1dd806a10c7187716e7a5363310e33b614bf61f6"
+    },
+    {
+      "bytes": 144557,
+      "path": "data/internal_test/pa4/numina-000058-0000-c54c965a505e8fa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "c54c965a505e8fa13cf0083567723a9b2f64ed931e2880f55173972b4bff1916"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000059.json b/manifests/batches/numina/000059.json
index bd41717613f9aedc6fcf5e7378040a258848337b..e5744ed9a9e34112a336b41e721d91956ae0199d 100644
--- a/manifests/batches/numina/000059.json
+++ b/manifests/batches/numina/000059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000059",
   "batch_fingerprint": "776dcb8262dd1283815fb758a0c2ad5f6f6b10f6ce1df176d04497c79918dff8",
   "evidence": {
@@ -15,55 +14,56 @@
     "transitions": 43,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1bbfa029-1f82-5902-8cb5-0ecf543a1fc1",
+    "numina:2ee44ab2-ecc1-5c36-bde4-e2c216a5d377",
+    "numina:38408b1e-0a6a-5867-a8f9-37909542a038",
+    "numina:4710f467-e2a7-5ce2-a816-a3b3ea1f9082",
+    "numina:4e516a1f-0c61-5a46-9138-0c4083f82c4d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000295.lean\",\"3998e4415af492beb999c9b880aef8d6f0f8725bd8096f8a8af489bf18a2c9df\",1,\"number_theory_8950_2\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000296.lean\",\"0baf3c47e83e821076f47c63e9b3bb8597c4c8865de043958660293e0531234f\",0,\"number_theory_8956\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000297.lean\",\"56c5ed2aa0887c6e7ee93f5e73c89fbc2e2b0ce6a07017fef6a89cfb66aa334b\",0,\"number_theory_8959\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000298.lean\",\"3db28863f0243e401a0020d626a809794cec026c6bc8bc8b66e46a3f8093b7b7\",0,\"number_theory_8963\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000299.lean\",\"24c7e6f3b5a74c14beb8107a7e382c8ffca33f13f6e8e8b6523f524d8035794b\",0,\"number_theory_8966\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000059-0000-01fa4c47d5ee2232.parquet",
-      "sha256": "01fa4c47d5ee22324ff49c5f4c20fc7c31e8f4ba5b3d84d8ca46fc7353535889",
       "bytes": 689521,
+      "path": "data/train/pa8/numina-000059-0000-01fa4c47d5ee2232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "01fa4c47d5ee22324ff49c5f4c20fc7c31e8f4ba5b3d84d8ca46fc7353535889"
     },
     {
-      "path": "data/train/numina-000059-0001-8636eb9134d67a79.parquet",
-      "sha256": "8636eb9134d67a79b539481eddbf0be25a4a18c86ac16e05de4ba9bb561b8231",
       "bytes": 422511,
+      "path": "data/train/pa8/numina-000059-0001-8636eb9134d67a79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "8636eb9134d67a79b539481eddbf0be25a4a18c86ac16e05de4ba9bb561b8231"
     },
     {
-      "path": "data/train/numina-000059-0002-d68dbd82ded92829.parquet",
-      "sha256": "d68dbd82ded9282984d602f6bb2ae9491911b3d0d3e43af5026e61df7edf1a4c",
       "bytes": 652426,
+      "path": "data/train/pa8/numina-000059-0002-d68dbd82ded92829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "d68dbd82ded9282984d602f6bb2ae9491911b3d0d3e43af5026e61df7edf1a4c"
     },
     {
-      "path": "data/train/numina-000059-0003-19a88468b4baa56c.parquet",
-      "sha256": "19a88468b4baa56cf10901510b712de9e60a2817d9c624ac6f04264bb4b1fc5f",
       "bytes": 258014,
+      "path": "data/train/pa8/numina-000059-0003-19a88468b4baa56c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "19a88468b4baa56cf10901510b712de9e60a2817d9c624ac6f04264bb4b1fc5f"
     },
     {
-      "path": "data/internal_test/numina-000059-0000-072ce3755de9df1c.parquet",
-      "sha256": "072ce3755de9df1c0f7832e73b674061e463f0e8128924de3a6e5275dbecb1aa",
       "bytes": 186646,
+      "path": "data/internal_test/pa8/numina-000059-0000-072ce3755de9df1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "bc717c016711d0bbbc84caeadf399f11631a9774"
+      "sha256": "072ce3755de9df1c0f7832e73b674061e463f0e8128924de3a6e5275dbecb1aa"
     }
-  ],
-  "proof_ids": [
-    "numina:1bbfa029-1f82-5902-8cb5-0ecf543a1fc1",
-    "numina:2ee44ab2-ecc1-5c36-bde4-e2c216a5d377",
-    "numina:38408b1e-0a6a-5867-a8f9-37909542a038",
-    "numina:4710f467-e2a7-5ce2-a816-a3b3ea1f9082",
-    "numina:4e516a1f-0c61-5a46-9138-0c4083f82c4d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000295.lean\",\"3998e4415af492beb999c9b880aef8d6f0f8725bd8096f8a8af489bf18a2c9df\",1,\"number_theory_8950_2\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000296.lean\",\"0baf3c47e83e821076f47c63e9b3bb8597c4c8865de043958660293e0531234f\",0,\"number_theory_8956\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000297.lean\",\"56c5ed2aa0887c6e7ee93f5e73c89fbc2e2b0ce6a07017fef6a89cfb66aa334b\",0,\"number_theory_8959\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000298.lean\",\"3db28863f0243e401a0020d626a809794cec026c6bc8bc8b66e46a3f8093b7b7\",0,\"number_theory_8963\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000299.lean\",\"24c7e6f3b5a74c14beb8107a7e382c8ffca33f13f6e8e8b6523f524d8035794b\",0,\"number_theory_8966\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000060.json b/manifests/batches/numina/000060.json
index 53120b5874e5830ae34de50889a63b37d46f43f2..6bfdde642a9d20860ea2ab4b44bf40b1632d6be8 100644
--- a/manifests/batches/numina/000060.json
+++ b/manifests/batches/numina/000060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000060",
   "batch_fingerprint": "1fabc51175d3f7c8de7b9c63c089e531c439060c92f200ec72c6cf7e11deb4f3",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 46,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000060-0000-07e037273d172921.parquet",
-      "sha256": "07e037273d17292172f9da470a5e20f25dc1c5ee8d0cba7db04caf2cf0d29695",
-      "bytes": 257265,
-      "rows": 46,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0247bbf8-4030-5721-a177-ef592404fc6f",
     "numina:28a14941-eef7-5499-8d6e-d695d78016ba",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000302.lean\",\"5aac71dcdf74a0881a8b1665a914b09f475a1906dd5cbc97e1530c225ca5b026\",0,\"number_theory_8970\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000303.lean\",\"24f39e2f5002882b645a55c52fc623c390ed5955a33c10d7716d871e9f0fbae7\",0,\"algebra_8975\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000304.lean\",\"32390f272270efbee643dbfbbaaae4a45945001b0a8f98883aaf37d4f8da30af\",0,\"algebra_8997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257265,
+      "path": "data/train/p14/numina-000060-0000-07e037273d172921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "07e037273d17292172f9da470a5e20f25dc1c5ee8d0cba7db04caf2cf0d29695"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000061.json b/manifests/batches/numina/000061.json
index e34fddd46db96da09fca056fef283fc347692f60..555aea54e091539219229b62cfd54353a344f583 100644
--- a/manifests/batches/numina/000061.json
+++ b/manifests/batches/numina/000061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000061",
   "batch_fingerprint": "e95fe3dcbbcfee5b79884ad57ed10a72cb50afea41fd3463ffe542800d15d3ce",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 49,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000061-0000-cfed537bc1f51df5.parquet",
-      "sha256": "cfed537bc1f51df5a8f652317c08f0b9a2e0094fa0136e4520e5535ab9f2f4da",
-      "bytes": 200548,
-      "rows": 44,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000061-0000-8de290387fb12605.parquet",
-      "sha256": "8de290387fb12605bb57b9103618accf91f5e45498aa0fe4b32f9eba9442a069",
-      "bytes": 64742,
-      "rows": 5,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2eec5e55-6ca2-5418-91d0-77fd1d6145cd",
     "numina:77168538-49d4-5257-8636-178f6bdf1173",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000307.lean\",\"de351ddda7f58f1c481a7d8f6f0f5fd851b347034dad46a85e9a4d3d00d6928a\",0,\"algebra_9006\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000308.lean\",\"302d4222aa7fe74ab4943762e8a015b8c25fd4211d2d8b948955888d7334bc1b\",0,\"algebra_9019\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000309.lean\",\"fa9c78da9128c5e18c212025014c0a7bfb62f735e7eaa560aeca549a8b1ebd90\",0,\"algebra_9022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200548,
+      "path": "data/train/pef/numina-000061-0000-cfed537bc1f51df5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "cfed537bc1f51df5a8f652317c08f0b9a2e0094fa0136e4520e5535ab9f2f4da"
+    },
+    {
+      "bytes": 64742,
+      "path": "data/internal_test/pef/numina-000061-0000-8de290387fb12605.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8de290387fb12605bb57b9103618accf91f5e45498aa0fe4b32f9eba9442a069"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000062.json b/manifests/batches/numina/000062.json
index afce0cbd1916236e4274fea6e41841de484535b8..7448f253a829305ccfcc63023180cd44e2c3c5a7 100644
--- a/manifests/batches/numina/000062.json
+++ b/manifests/batches/numina/000062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000062",
   "batch_fingerprint": "f1c1ed6435151600e0bb7597b7d115c7fc250d615594b05dc0868b4accb796b2",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000062-0000-ba3fe5e24b68058a.parquet",
-      "sha256": "ba3fe5e24b68058a04e280fa00ad413d49597d948b6d2f4d054f19250b83e9bb",
-      "bytes": 291300,
-      "rows": 22,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02f6c577-d273-590f-810c-57c71671bc66",
     "numina:1d542590-2aef-5538-9a6c-0e6958d85051",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000312.lean\",\"888cf1b56e7c0b2930ed0d2c57d1d09b1bee2bbe27926ca2847f6185d092d907\",0,\"algebra_9042\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000313.lean\",\"2531ede84ac560295d96243f473c3113f46c41e2cdba835773dbc8d0443fb435\",0,\"algebra_9052\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000314.lean\",\"f4149d43429481bed81418d2ea9dc11fb1bab9ff64b80976dc3e09c774db90a8\",0,\"algebra_9063\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291300,
+      "path": "data/train/p3f/numina-000062-0000-ba3fe5e24b68058a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ba3fe5e24b68058a04e280fa00ad413d49597d948b6d2f4d054f19250b83e9bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000063.json b/manifests/batches/numina/000063.json
index a020ea977b0c524ca19a415ef7f48da7d72a21dd..05c00e48749c2e8fbf0b16ecac41e5f14fb18bf8 100644
--- a/manifests/batches/numina/000063.json
+++ b/manifests/batches/numina/000063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000063",
   "batch_fingerprint": "5a98648b575154a3843b4128250db7b8ac8bc943bba1d880cae37529de1f66f2",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000063-0000-d028be032e289844.parquet",
-      "sha256": "d028be032e2898447cef64e03cebf0421e3ca68b434bff21fb710854c9ba752e",
-      "bytes": 327136,
-      "rows": 27,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/train/numina-000063-0001-5e8f689718fa50ec.parquet",
-      "sha256": "5e8f689718fa50ec870a3284b30f6af710de9aa6dfce86e6b11625c320b0d0cc",
-      "bytes": 552673,
-      "rows": 1,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/train/numina-000063-0002-54ba848c110d7776.parquet",
-      "sha256": "54ba848c110d7776f03d4f9dccc89bc7db564baeca7331c49cce291cc025bde9",
-      "bytes": 275123,
-      "rows": 10,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16bd7010-d161-5d02-8d41-66808b1d4259",
     "numina:4f7936c4-dcd7-54b2-8769-f369ca25ec0d",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000317.lean\",\"1b7b52dd392e9ae9c355474d9521e32855feecaa614444a3e1078f08f267634c\",0,\"algebra_9087\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000318.lean\",\"74b630656fd446fa0f2ecd8f434435e366913f4f2c560923649f148002e61bd7\",0,\"algebra_9091\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000319.lean\",\"53492f44d985a5964f242b8b9cd209fb71f7205e2b868b93ce11465253918785\",0,\"algebra_9093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327136,
+      "path": "data/train/p07/numina-000063-0000-d028be032e289844.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "d028be032e2898447cef64e03cebf0421e3ca68b434bff21fb710854c9ba752e"
+    },
+    {
+      "bytes": 552673,
+      "path": "data/train/p07/numina-000063-0001-5e8f689718fa50ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5e8f689718fa50ec870a3284b30f6af710de9aa6dfce86e6b11625c320b0d0cc"
+    },
+    {
+      "bytes": 275123,
+      "path": "data/train/p07/numina-000063-0002-54ba848c110d7776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "54ba848c110d7776f03d4f9dccc89bc7db564baeca7331c49cce291cc025bde9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000064.json b/manifests/batches/numina/000064.json
index ca525c8fbf573dd70d932198a7c7bc91de784afe..8ce4c1415f081b6a04ea6ec31bbafa20a4459e66 100644
--- a/manifests/batches/numina/000064.json
+++ b/manifests/batches/numina/000064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000064",
   "batch_fingerprint": "345d92c5f46f40c6f99750e121e130976903f37726804b9face34811527879ea",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 75,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000064-0000-db3e52efd8523e0f.parquet",
-      "sha256": "db3e52efd8523e0f8a45c8ff917bb31299e15f9e5124a235cf8b93397cfc6c8b",
-      "bytes": 252096,
-      "rows": 70,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000064-0000-d4f4c4bb3567115a.parquet",
-      "sha256": "d4f4c4bb3567115a82eda64863946930be23feda15e3a03600b22e069fc153f4",
-      "bytes": 111078,
-      "rows": 5,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d43fe1a-624b-5268-afb5-76aca5772c4e",
     "numina:5923f39e-8a9b-5d3d-b84d-4d453316ef75",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000322.lean\",\"38b944f88b042cee507379b347dce098b012bfba0ed96a36ceef2012281c7752\",0,\"algebra_9114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000323.lean\",\"bff5cd9e845d33401962ba5a6c047ccb8cce756ae150ed1e21acd167e7d9f823\",0,\"algebra_9120\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000324.lean\",\"1e62358306230396f73e197eb517181cf86bad13b1fa679e72297e98297bd0a6\",2,\"algebra_9126_3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252096,
+      "path": "data/train/p8b/numina-000064-0000-db3e52efd8523e0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "db3e52efd8523e0f8a45c8ff917bb31299e15f9e5124a235cf8b93397cfc6c8b"
+    },
+    {
+      "bytes": 111078,
+      "path": "data/internal_test/p8b/numina-000064-0000-d4f4c4bb3567115a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d4f4c4bb3567115a82eda64863946930be23feda15e3a03600b22e069fc153f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000065.json b/manifests/batches/numina/000065.json
index 3306603d1ff86500ce181bfd869a157d2af3a20b..b26f2c741efeeb29e13e7900d90a1331d3328be3 100644
--- a/manifests/batches/numina/000065.json
+++ b/manifests/batches/numina/000065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000065",
   "batch_fingerprint": "d8aebaa7fae53c82f6878008dd5d017ff9b4afb01df5f8a25408c5520a6a6499",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000065-0000-b52fa2f4b3b68a5b.parquet",
-      "sha256": "b52fa2f4b3b68a5b0d4c9833e6bfec1c9c336baafebe7ba50651d2f1ff116268",
-      "bytes": 199997,
-      "rows": 18,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000065-0000-0f9ec4b2d0b365e8.parquet",
-      "sha256": "0f9ec4b2d0b365e871f9954cd5aeb1af7d55ec269c8f355ddbd4eb79f5fa6ee9",
-      "bytes": 65171,
-      "rows": 16,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f1c2268-aa84-5290-b6c9-c270efccdee0",
     "numina:7722a5fe-42c1-5d72-821c-a71fda61c25e",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000327.lean\",\"72d3a8a783a861007da70c6995e304a6ec957b700d8bf279e282e1b9aff42244\",0,\"algebra_9173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000328.lean\",\"f4bf13bedab281bdd63773d536a6247be59dc1dc1479c68b081f307230bb6304\",0,\"algebra_9177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000329.lean\",\"050f1e0374ef8d5fc6f2c21866baeb536583634acfe48d96faf1d64fa4daf888\",0,\"algebra_9180\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199997,
+      "path": "data/train/pc8/numina-000065-0000-b52fa2f4b3b68a5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b52fa2f4b3b68a5b0d4c9833e6bfec1c9c336baafebe7ba50651d2f1ff116268"
+    },
+    {
+      "bytes": 65171,
+      "path": "data/internal_test/pc8/numina-000065-0000-0f9ec4b2d0b365e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0f9ec4b2d0b365e871f9954cd5aeb1af7d55ec269c8f355ddbd4eb79f5fa6ee9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000066.json b/manifests/batches/numina/000066.json
index bcee075d8ea44fd52fde7904393652ca3596b946..9b2ee32d98fb2757f9957170d560ee3816bb9858 100644
--- a/manifests/batches/numina/000066.json
+++ b/manifests/batches/numina/000066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000066",
   "batch_fingerprint": "e39208f436f1e3418cd13e805731b68c8f035cec798debe30b2dfd72a28097a8",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000066-0000-bc40240ee9c0f875.parquet",
-      "sha256": "bc40240ee9c0f875f31956d2379a1d5e3d8f3d823def522be14ac64fcfc6ae9f",
-      "bytes": 286494,
-      "rows": 41,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:75992bbb-9823-5567-b97e-29fea138301b",
     "numina:8a2150a7-f919-5163-8543-7861da98c3ff",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000332.lean\",\"f293ec47ddfd3b29c255232bcb51cfc6dc0f1ea589a4684ee617003d5d758df1\",0,\"algebra_9245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000333.lean\",\"f9819b1debd15b62847fe83bc65672bed64f80e94c40fdf6eaefc8ca7574954c\",0,\"algebra_9245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000334.lean\",\"690369c0cf229a01555387f82e59fb0be32d7d673346048221a8d59f8704254a\",0,\"algebra_9246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286494,
+      "path": "data/train/p98/numina-000066-0000-bc40240ee9c0f875.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "bc40240ee9c0f875f31956d2379a1d5e3d8f3d823def522be14ac64fcfc6ae9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000067.json b/manifests/batches/numina/000067.json
index 1ab3976d097b319e0d0c38daee7bd321b33908e2..161dc1b17c6f0fb8f6c589dd5c0e112eeb702e8a 100644
--- a/manifests/batches/numina/000067.json
+++ b/manifests/batches/numina/000067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000067",
   "batch_fingerprint": "ec54b18b3c68ad8392e0631219d1547be1202ea41f56da63020999e03ceaa6f8",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 43,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000067-0000-907cb6b51408ec37.parquet",
-      "sha256": "907cb6b51408ec37931a366fdb514d48c843d7dc21700719449ff2e5b03a1f08",
-      "bytes": 253313,
-      "rows": 43,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02b4dfb2-3454-50cf-bedb-d085d3172023",
     "numina:4d988932-7681-55d3-8edd-ff138496f4eb",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000337.lean\",\"8deaa363fc54e15194a0f9fc1dbefe9615f87302dee8bd06e4bd373554dbcfac\",0,\"algebra_9260\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000338.lean\",\"27c0e4d3694c24cc8ef316fc3ed0126addeaadb8c9cee8bed94e29fabbc373f2\",0,\"algebra_9262\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000339.lean\",\"b7ff342ca873a29b18fdf87109657b4c82fd8943937e29f6f22aa57a3182dad1\",4,\"algebra_9268_5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253313,
+      "path": "data/train/pc4/numina-000067-0000-907cb6b51408ec37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "907cb6b51408ec37931a366fdb514d48c843d7dc21700719449ff2e5b03a1f08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000068.json b/manifests/batches/numina/000068.json
index 593ea654bb45b3efa055680c3462edab601905c7..baba5ddfe1f8386280f26e7b390670c54353b460 100644
--- a/manifests/batches/numina/000068.json
+++ b/manifests/batches/numina/000068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000068",
   "batch_fingerprint": "2650b563bdeb2554367f9404617b928c0771ce27d9b0d1e37b3770ac071b5632",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000068-0000-9f941f964f2d7b41.parquet",
-      "sha256": "9f941f964f2d7b4150be240ceb8f61df51d33a6ee0b83c6df66a02d5723a8a44",
-      "bytes": 113058,
-      "rows": 30,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/dev/numina-000068-0000-81e62c3b90aba272.parquet",
-      "sha256": "81e62c3b90aba272cb52085f2f08f8979b34b0df76e24046cb0a97bc689ba6c0",
-      "bytes": 83305,
-      "rows": 5,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46873794-78ea-554e-9e99-a49d9c32bb64",
     "numina:6d8b8b78-7a74-5faa-91f7-f9590e9143ac",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000342.lean\",\"76493cfeae7ec3f691100442301d79bb30c9eea4a2a433ac3a934eaba03976a3\",0,\"algebra_9289\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000343.lean\",\"e88385d8990cbf96659bb582379e4f110bcaa638e18a98c186912d79e2a7826d\",0,\"algebra_9302\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000344.lean\",\"6e19d892bdf6f38b4fceffac396fb5417e621ca0d3c437357a9ebd6239a8a50d\",0,\"algebra_9304\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113058,
+      "path": "data/train/p41/numina-000068-0000-9f941f964f2d7b41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9f941f964f2d7b4150be240ceb8f61df51d33a6ee0b83c6df66a02d5723a8a44"
+    },
+    {
+      "bytes": 83305,
+      "path": "data/dev/p41/numina-000068-0000-81e62c3b90aba272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "81e62c3b90aba272cb52085f2f08f8979b34b0df76e24046cb0a97bc689ba6c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000069.json b/manifests/batches/numina/000069.json
index b04d65f00d236fc6d8fb253a82606c25b940fb79..81ee0e84d9e0f1349fd9aa659d6854b5fd73b3fa 100644
--- a/manifests/batches/numina/000069.json
+++ b/manifests/batches/numina/000069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000069",
   "batch_fingerprint": "a426f558697b8d9a474837a58efd29caa0df9e3e0145c6540cf195998ccc01c2",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 110,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000069-0000-03d62587f81d058c.parquet",
-      "sha256": "03d62587f81d058c82cbba47e077f82fcdc8c56d29f3a889cc214907b8046d0f",
-      "bytes": 601435,
-      "rows": 64,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/train/numina-000069-0001-6dbdb868f3f64b9d.parquet",
-      "sha256": "6dbdb868f3f64b9dae7b78aa3527a16d27bd1e5a627e53b17e089847f9ac86ab",
-      "bytes": 173396,
-      "rows": 46,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:58b3da11-40f1-5995-b628-f2729c6bc704",
     "numina:ba97bef1-ae72-5934-bc12-aa13bfca2441",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000347.lean\",\"3c4bfa38105fd6082869cb18de001530906a1940b89120160178b665a1160867\",0,\"algebra_9343\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000348.lean\",\"aba93b3a78ec90eecc5c9599cb93c90c3f7e1036ce5499c47facbf44e739bdba\",0,\"algebra_9345\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000349.lean\",\"75440a4151e18ed24defaab87f9c7d7e6ce2f21ca46ab38b079b600894cf07ea\",0,\"algebra_9348\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601435,
+      "path": "data/train/p0d/numina-000069-0000-03d62587f81d058c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "03d62587f81d058c82cbba47e077f82fcdc8c56d29f3a889cc214907b8046d0f"
+    },
+    {
+      "bytes": 173396,
+      "path": "data/train/p0d/numina-000069-0001-6dbdb868f3f64b9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "6dbdb868f3f64b9dae7b78aa3527a16d27bd1e5a627e53b17e089847f9ac86ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000070.json b/manifests/batches/numina/000070.json
index 8e98f2393ddcd6c3742a8bad59abc20054d1269e..f44279809f01569d97b843a2f037049e00bc5431 100644
--- a/manifests/batches/numina/000070.json
+++ b/manifests/batches/numina/000070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000070",
   "batch_fingerprint": "f84d02e30bec2ea544bb490b006f0df4b6c4c6bdc4582cac64b48324700e9bd1",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 21,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000070-0000-481d43df423b96bf.parquet",
-      "sha256": "481d43df423b96bf99c0fc7c53b7537d96376bc25113bd9448f5b55a55a00f1e",
-      "bytes": 155532,
-      "rows": 18,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/dev/numina-000070-0000-16245f5ff842960e.parquet",
-      "sha256": "16245f5ff842960ec36b526658aa2e0a01c0f4cb4764c4c43362a77320b6f865",
-      "bytes": 39387,
-      "rows": 3,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24b97139-ac5e-56e8-bc87-452921673c29",
     "numina:70259a07-4cd2-5040-9d28-f8f64ca88db5",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000352.lean\",\"b04f2717c1a093f1bc4c241ea941571b76a4b3524cbf6832b0b25150e0e36406\",0,\"algebra_9351\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000353.lean\",\"58f94dd3155d88b506f4a4dfd3a1a3da6b4563979650f4098f29af09feaa49fc\",0,\"algebra_9359\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000354.lean\",\"7ff53045653e9fc00d2d4f08c554e662357f2b6ed310c7fca57a216058aa1889\",0,\"algebra_9381\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155532,
+      "path": "data/train/p9a/numina-000070-0000-481d43df423b96bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "481d43df423b96bf99c0fc7c53b7537d96376bc25113bd9448f5b55a55a00f1e"
+    },
+    {
+      "bytes": 39387,
+      "path": "data/dev/p9a/numina-000070-0000-16245f5ff842960e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "16245f5ff842960ec36b526658aa2e0a01c0f4cb4764c4c43362a77320b6f865"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000071.json b/manifests/batches/numina/000071.json
index 25118096b53968101fff60d1427d31a1eba686d2..d621fe3254ee437b111a3ce9652dc501299656db 100644
--- a/manifests/batches/numina/000071.json
+++ b/manifests/batches/numina/000071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000071",
   "batch_fingerprint": "61020284d80671df7338eaddfa6c6454d3251c636747413840b57203d3025d61",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 19,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000071-0000-958305229c1274a1.parquet",
-      "sha256": "958305229c1274a18e6d628a016b82d78689bb5666eb78e0eb7c68c6c4d0ffc3",
-      "bytes": 65195,
-      "rows": 10,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/dev/numina-000071-0000-9bb8dd88cb01b2d2.parquet",
-      "sha256": "9bb8dd88cb01b2d28ae2a2ec0eb5e276d23c9e58690e910c5a97cdde205b7690",
-      "bytes": 54274,
-      "rows": 4,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000071-0000-b5461db415081ff9.parquet",
-      "sha256": "b5461db415081ff906c3743c46929ecb03e7a9c42b861a5ec7662e61893163e8",
-      "bytes": 46414,
-      "rows": 5,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4abe095f-74a5-57e6-83c1-ba74f7cc5b90",
     "numina:513b70b5-5eac-5b79-9191-0c817938797c",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000357.lean\",\"b1fd5d77900179f772628e392e757e38166e42eb271832dd89f32b27d60bed89\",1,\"algebra_9396_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000358.lean\",\"c4b53f66f628f3a39278fcca908e63fb87ee35a16bc4fc3fdbfa06d75405c7a2\",0,\"algebra_9399\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000359.lean\",\"0bd1860551c4377c7eb863e72ac3678f4d9b9bf8005365bc30c2ee5c5e956e81\",0,\"algebra_9423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65195,
+      "path": "data/train/p60/numina-000071-0000-958305229c1274a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "958305229c1274a18e6d628a016b82d78689bb5666eb78e0eb7c68c6c4d0ffc3"
+    },
+    {
+      "bytes": 54274,
+      "path": "data/dev/p60/numina-000071-0000-9bb8dd88cb01b2d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9bb8dd88cb01b2d28ae2a2ec0eb5e276d23c9e58690e910c5a97cdde205b7690"
+    },
+    {
+      "bytes": 46414,
+      "path": "data/internal_test/p60/numina-000071-0000-b5461db415081ff9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b5461db415081ff906c3743c46929ecb03e7a9c42b861a5ec7662e61893163e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000072.json b/manifests/batches/numina/000072.json
index 9ea0c7bc126c07f5b6b9a8f72c80d7588daecbaf..15fbee7147dfa5723b25b136982b261e1ceb1a96 100644
--- a/manifests/batches/numina/000072.json
+++ b/manifests/batches/numina/000072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000072",
   "batch_fingerprint": "afc2920251e214daa739447301e20e87233a6a05dcb503d5e8a2ca60e4533cc7",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 42,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000072-0000-b7d4ee226fec8ebb.parquet",
-      "sha256": "b7d4ee226fec8ebb2d0941a0c150fe3e65bb22a455fa10741da827567dd80578",
-      "bytes": 267013,
-      "rows": 42,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ba56f0b-b80a-57fb-9bb8-7ac5e0bddaa2",
     "numina:3fb9e9af-9584-5a90-9637-951ff11aff92",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000362.lean\",\"b37c562d2e5acb68d879c177ce6054fbc6d0e42cba13d6b3d025f9fe974eba16\",0,\"algebra_9451\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000363.lean\",\"88eed913a5fd0db274b05dce555303542f869deec2858e3b2a7a887233f0cccc\",0,\"algebra_9457\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000364.lean\",\"3a309b394e711610b314ceb179fb58b3151136b72b5b5822a6f4d1c0871000e5\",0,\"algebra_9463\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267013,
+      "path": "data/train/pb0/numina-000072-0000-b7d4ee226fec8ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b7d4ee226fec8ebb2d0941a0c150fe3e65bb22a455fa10741da827567dd80578"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000073.json b/manifests/batches/numina/000073.json
index 1edf44832e2f263bea2022d38272276cc82be38d..bd8320b17110730303278ce62e315ba0ab9a6215 100644
--- a/manifests/batches/numina/000073.json
+++ b/manifests/batches/numina/000073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000073",
   "batch_fingerprint": "418ba3f85f8b4706dfec8d4a8fedd3ae5deb56ec9fa831cebffe94305698fae0",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000073-0000-729841393d657f03.parquet",
-      "sha256": "729841393d657f03c839824858aac20956163ed1cff9eeb044e735812b414014",
-      "bytes": 210833,
-      "rows": 23,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000073-0000-6475833012b6331b.parquet",
-      "sha256": "6475833012b6331bf32b41e763fcb16672ad770a28809c64a897fc1c3983f0f9",
-      "bytes": 68402,
-      "rows": 11,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2a178d22-5853-50fb-b735-9ae89fecee8b",
     "numina:48b4ba4e-782b-5295-aedc-5460138b0293",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000367.lean\",\"9a7c7b99ebe8f8fd46296cdb5ccb117e96ea1c600ccfe72e076b83912ab83b5a\",0,\"algebra_10326\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000368.lean\",\"aff2d913e9224d293f309fd5939fa166a03fc8d6aea84c318778053187acaf4f\",0,\"algebra_10346\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000369.lean\",\"7fa00b1bba2a9259d1323b5af1c9d0b74431688082606969bab2f2549336eb1c\",0,\"algebra_10356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210833,
+      "path": "data/train/p8f/numina-000073-0000-729841393d657f03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "729841393d657f03c839824858aac20956163ed1cff9eeb044e735812b414014"
+    },
+    {
+      "bytes": 68402,
+      "path": "data/internal_test/p8f/numina-000073-0000-6475833012b6331b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6475833012b6331bf32b41e763fcb16672ad770a28809c64a897fc1c3983f0f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000074.json b/manifests/batches/numina/000074.json
index f76c3d945314d70aa589a2bb1349ea1f90f4c104..e0f25a0577717ee0df5032501c329290973cdb4f 100644
--- a/manifests/batches/numina/000074.json
+++ b/manifests/batches/numina/000074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000074",
   "batch_fingerprint": "cd6624b25698094747390fef0e4712efd5fabfd2216083731001d5bb9a9bacfd",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000074-0000-ad41eae1512e7e84.parquet",
-      "sha256": "ad41eae1512e7e849fa2b6bf5dca913e8bdfd6c3a92ac26cf5497aa067cab073",
-      "bytes": 175004,
-      "rows": 39,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1fd74906-fd7e-5af5-a5e5-3ada173935af",
     "numina:3c1c3369-ae28-5e0d-882b-d57f7ce757da",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000372.lean\",\"39eab49b9d1287321d736265b16287d079320a145dfbdfda6e783f703c5e8d16\",0,\"algebra_10458\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000373.lean\",\"d5eefe31c4b5a0c7386b11377b6cfc6db1a052049d1820b8a37d054770943778\",0,\"algebra_10480\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000374.lean\",\"3bfd115a6f5d4ffc3aac95749f24474c674d478a9efdb1639796842cbf16dd72\",0,\"algebra_10513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175004,
+      "path": "data/train/p69/numina-000074-0000-ad41eae1512e7e84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "ad41eae1512e7e849fa2b6bf5dca913e8bdfd6c3a92ac26cf5497aa067cab073"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000075.json b/manifests/batches/numina/000075.json
index 917cbab5c0e0c198894ea21fa83a1385651bdad1..f6cc68515e81ffdaec9933a66c0ed8cb8ebba0ec 100644
--- a/manifests/batches/numina/000075.json
+++ b/manifests/batches/numina/000075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000075",
   "batch_fingerprint": "c091138ede400bb47eea472088ec5d0b96a89aa6a4eeabf1af1711dae1d1d192",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 19,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000075-0000-00a1cfb09095327a.parquet",
-      "sha256": "00a1cfb09095327a6e6da8a8b55f75fba44f6bd862b28924f15d1a6786b403e8",
-      "bytes": 82824,
-      "rows": 19,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:282cea33-7b55-58bd-933e-aa1f028853da",
     "numina:37e0f92e-e552-5664-ab83-d7c3e07fee7c",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000377.lean\",\"bacefbd272d177196c3c2977a3b211baec124c3549865cb36709e4c0d385e6f9\",0,\"algebra_10557\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000378.lean\",\"b7897596845fbf5a578c395fc9f8adc6962aecb4e19e0dd9650a52f8d2b19574\",0,\"algebra_422\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000379.lean\",\"c5747c38ac97dca58d088b8a8346e1766329f93e2f5ff0dde850e9bfc5e1520c\",0,\"algebra_10604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82824,
+      "path": "data/train/p63/numina-000075-0000-00a1cfb09095327a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "00a1cfb09095327a6e6da8a8b55f75fba44f6bd862b28924f15d1a6786b403e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000076.json b/manifests/batches/numina/000076.json
index 6533889babc85507180b52cc3b20666a928acb0b..7555eea0f0d9d8b095e61bd807e0b2f7219c3e47 100644
--- a/manifests/batches/numina/000076.json
+++ b/manifests/batches/numina/000076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000076",
   "batch_fingerprint": "b150338971eb7ed9bc3b1531f8f77b0cd78e2dfab4418874f40d8233b1ccc664",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000076-0000-910ab3b21c236e18.parquet",
-      "sha256": "910ab3b21c236e18dc4de6276b4e554ebd2af0018dfaa065c6c66b30e49e68c4",
-      "bytes": 213620,
-      "rows": 24,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0935baf8-a8af-5173-a511-6e2bc3cf4894",
     "numina:1aba7a19-394f-584f-90b9-5e0dca56ff5f",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000382.lean\",\"31c28595236579b3b858647651d86877d690682e37c53f4c6c3ceb9e8218263c\",0,\"algebra_10679\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000383.lean\",\"e6a1c92086be5b29c6b95e8dfae0e24a73f69db4971e00dc484f2ef4a92d99a0\",0,\"algebra_10681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000384.lean\",\"0057a48d096d9bfa2298b916430b319dee49d175f65e570b832784ecabc9776f\",0,\"algebra_10708\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213620,
+      "path": "data/train/pef/numina-000076-0000-910ab3b21c236e18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "910ab3b21c236e18dc4de6276b4e554ebd2af0018dfaa065c6c66b30e49e68c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000077.json b/manifests/batches/numina/000077.json
index 9847d935ecb5a85c7830a51aba9d3ce059b47f48..4d3391d3b207331bff7606b1fca8f06f5ad01587 100644
--- a/manifests/batches/numina/000077.json
+++ b/manifests/batches/numina/000077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000077",
   "batch_fingerprint": "67b00a7727b429505bcc8b84f814d94e6c9b5f9db7ee57dbd7306fb2e8d7b2e6",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 76,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000077-0000-a93dd61de4fef8bc.parquet",
-      "sha256": "a93dd61de4fef8bce6543a6ac6c79b0b0c91128e5525b0515a570b7d1fc13c42",
-      "bytes": 424911,
-      "rows": 76,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11530cb3-a5c9-5dfc-b5ac-1aec3dd189b1",
     "numina:445059b3-aa1d-564a-9a09-37b0a484db9b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000387.lean\",\"0a55a7487d91162b2cf1a42d1f09e1f42169f7df45c535c3a71fab362b2a680c\",0,\"algebra_10993\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000388.lean\",\"c0cb2b52d0e2fd7981d303880450df04924f7095f8b8ecd35e2b305268c58a57\",0,\"algebra_11003\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000389.lean\",\"d08adbed7ef1d947d6cd16b73de93e2d554b621984b7aff99d2d5f4e5be9e9a8\",0,\"algebra_11007\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424911,
+      "path": "data/train/pae/numina-000077-0000-a93dd61de4fef8bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "a93dd61de4fef8bce6543a6ac6c79b0b0c91128e5525b0515a570b7d1fc13c42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000078.json b/manifests/batches/numina/000078.json
index f65422fe24ec4e5b4be35204c5056f6f6cdf7b54..28b6ba0866f205467e7c9edfd0fcf3e048527ede 100644
--- a/manifests/batches/numina/000078.json
+++ b/manifests/batches/numina/000078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000078",
   "batch_fingerprint": "ca28142c78e8b1222cb41b38b2cc89aecf0de5d3035e95f524540340b2260312",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 79,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000078-0000-3858c505c62c7687.parquet",
-      "sha256": "3858c505c62c7687b201a2c188f76a94569ca6873f76dbdae21690e9b89bb198",
-      "bytes": 637002,
-      "rows": 52,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/train/numina-000078-0001-27aaeb9bc7bb6d6d.parquet",
-      "sha256": "27aaeb9bc7bb6d6de18322e1aed8ed6201dc7b725d3a6b70e0500c82f9e26096",
-      "bytes": 85324,
-      "rows": 14,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    },
-    {
-      "path": "data/internal_test/numina-000078-0000-4e5fdb8e2f131525.parquet",
-      "sha256": "4e5fdb8e2f131525adf6e8968d9ce0cf4eb70d110034681b8adcdc89d10813cd",
-      "bytes": 122907,
-      "rows": 13,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05299169-510d-5978-9e96-5e593a15033e",
     "numina:314da220-f91f-5c3e-a04d-81f724572a69",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000392.lean\",\"d7e7b300c4e71430490b0620fedde78c4fd8f181bc98cd670a56d1e06c7fc1b4\",0,\"algebra_3798\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000393.lean\",\"43f49dfe3ebc0356ed3cdd248cf1c54613b455f5d547e12b7ef2b834a2474b6a\",0,\"algebra_11206\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000394.lean\",\"633c6bb43ac3c5e021e34a516c71a6cbd2226ac9db5a0d8b5ed3816394674d83\",0,\"algebra_11221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 637002,
+      "path": "data/train/p21/numina-000078-0000-3858c505c62c7687.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "3858c505c62c7687b201a2c188f76a94569ca6873f76dbdae21690e9b89bb198"
+    },
+    {
+      "bytes": 85324,
+      "path": "data/train/p21/numina-000078-0001-27aaeb9bc7bb6d6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "27aaeb9bc7bb6d6de18322e1aed8ed6201dc7b725d3a6b70e0500c82f9e26096"
+    },
+    {
+      "bytes": 122907,
+      "path": "data/internal_test/p21/numina-000078-0000-4e5fdb8e2f131525.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4e5fdb8e2f131525adf6e8968d9ce0cf4eb70d110034681b8adcdc89d10813cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000079.json b/manifests/batches/numina/000079.json
index 9aa0860f9200e94f519b733dc628b5194a811002..1edc462c175d74babc44fc1c145122418fff665b 100644
--- a/manifests/batches/numina/000079.json
+++ b/manifests/batches/numina/000079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000079",
   "batch_fingerprint": "00991b101d0ea27b192ad7ffc43edc6c5c56435ae1852bdc9a77101dba9d321f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000079-0000-40fa48f21f26d2b9.parquet",
-      "sha256": "40fa48f21f26d2b907d025a868ed900975eb8a64f1c768bca2e5d9f4dfc991ca",
-      "bytes": 222419,
-      "rows": 28,
-      "revision": "ba6fdf07b42030c29c66f221b0e1b8d9df3140f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:83049d28-226f-5da0-9b6c-b15bec73fe4a",
     "numina:9df0fe30-3126-543a-a284-67049a8fd046",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000397.lean\",\"c1ae004491c29a85ea22ba90362801b17e2c4b0865acb09511edd588f24fc486\",0,\"algebra_11454\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000398.lean\",\"30a70c49f00a7ae023cda324e20fd57f5fef46e63f243a4136a57416391d873c\",0,\"algebra_11479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000399.lean\",\"c045ae28c8c84e326b02da58a95c5a47fd0d0c9f8f535f5031b0ffc146c7a477\",0,\"algebra_11493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222419,
+      "path": "data/train/pae/numina-000079-0000-40fa48f21f26d2b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "40fa48f21f26d2b907d025a868ed900975eb8a64f1c768bca2e5d9f4dfc991ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000080.json b/manifests/batches/numina/000080.json
index 31a2ed2bfb23204a0c06c25ff20dba1ed75f4f08..704e8783dff1d90ce24d75382d3538624f2777b9 100644
--- a/manifests/batches/numina/000080.json
+++ b/manifests/batches/numina/000080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000080",
   "batch_fingerprint": "781ade2f0006780eaf8df54bf29d15ce0284657c512aa76192e881b66124306c",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000080-0000-a742d514ea34d52e.parquet",
-      "sha256": "a742d514ea34d52e7b3b5a977d64db69480cf6fd860e5b39ef4220ad20b1b414",
-      "bytes": 116699,
-      "rows": 18,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000080-0000-9519b1fb09f1ae11.parquet",
-      "sha256": "9519b1fb09f1ae11e48bd22dc257c99087231dccd47e350e7408ebee60abc756",
-      "bytes": 157618,
-      "rows": 14,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12f7566b-b4a5-59cc-8547-82f4bdda33ec",
     "numina:6cfa11e2-dd9f-5a44-96de-a8b31d7a0ea7",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000401.lean\",\"dc8b5c27e677fb3d7f313fd5949567ea79be9ee41187d909ff34195f1df68a99\",0,\"algebra_11610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000402.lean\",\"7e6ac7c9bd0c83b053f6ef087d24ef4529ceaa5a884e218d4a9951ecd8532055\",0,\"number_theory_11618\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000403.lean\",\"f5ac07626ceb6d7bb8efd3d53fd0dfde71f9ae8e2ba503318d9ae544f20464a9\",0,\"algebra_11745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116699,
+      "path": "data/train/p1b/numina-000080-0000-a742d514ea34d52e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a742d514ea34d52e7b3b5a977d64db69480cf6fd860e5b39ef4220ad20b1b414"
+    },
+    {
+      "bytes": 157618,
+      "path": "data/internal_test/p1b/numina-000080-0000-9519b1fb09f1ae11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9519b1fb09f1ae11e48bd22dc257c99087231dccd47e350e7408ebee60abc756"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000081.json b/manifests/batches/numina/000081.json
index 753027de0d94ad022d88387607efa51ce3c96bc5..4097848cad5771dac73df29e0eefe3f557d85aff 100644
--- a/manifests/batches/numina/000081.json
+++ b/manifests/batches/numina/000081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000081",
   "batch_fingerprint": "64ac0376b167894bc6ab86e1402b8dc85fe883adafdfe76b9bb95cbd21b29e7d",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 49,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000081-0000-fc4b5f2edc36648a.parquet",
-      "sha256": "fc4b5f2edc36648a9f8c3de4466e482b4cdd8b7dbf205d042f4707e1e3fe9c95",
-      "bytes": 363138,
-      "rows": 47,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/dev/numina-000081-0000-dc887a7e5873a416.parquet",
-      "sha256": "dc887a7e5873a4163639fff86cf70e2aff8dae0b7c714a39f1686cc9c6c597ef",
-      "bytes": 31536,
-      "rows": 2,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57964272-d828-5574-a570-c483db664cdb",
     "numina:7ac71ce8-d00f-5905-9b40-cf62c30e8f6c",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000407.lean\",\"e1b68518aa513e24d5a0172c84111ee1d72c982e53c7dea480d62df423ee2448\",0,\"algebra_11985\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000408.lean\",\"58bca0e60335951c37a3027f9eb050f4add1e3be7e65c64a196333ee9c625202\",0,\"algebra_1392\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000409.lean\",\"ce997cd0d9ccdf3a8b15c85d20649773e7f1775beffbfd5186cdf377754e6501\",0,\"algebra_12246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363138,
+      "path": "data/train/pa5/numina-000081-0000-fc4b5f2edc36648a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "fc4b5f2edc36648a9f8c3de4466e482b4cdd8b7dbf205d042f4707e1e3fe9c95"
+    },
+    {
+      "bytes": 31536,
+      "path": "data/dev/pa5/numina-000081-0000-dc887a7e5873a416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc887a7e5873a4163639fff86cf70e2aff8dae0b7c714a39f1686cc9c6c597ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000082.json b/manifests/batches/numina/000082.json
index b0788da804c280b2effe35418ddc5748b7920f89..754e3267bd89bd637141ba3ec530a3d67078f288 100644
--- a/manifests/batches/numina/000082.json
+++ b/manifests/batches/numina/000082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000082",
   "batch_fingerprint": "9798bdcb78e22e569d715936ac7cde4c7162df7153a68d285112bf9478e1157a",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 50,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000082-0000-b5059a665b75c19c.parquet",
-      "sha256": "b5059a665b75c19c4619074241e8a2f686737b2879819243add7bd0ff2352e5d",
-      "bytes": 347006,
-      "rows": 45,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000082-0000-c73ee8e210e59024.parquet",
-      "sha256": "c73ee8e210e590241c3fc8e0a156563afc36347532cafe84a336159b45b83161",
-      "bytes": 39406,
-      "rows": 5,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:50559a31-a0b9-5eb7-b935-6789d2377626",
     "numina:68da1c35-0008-5626-aabb-cd853fcde1d8",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000412.lean\",\"1041080655a630404742d008166a3f3475fb85719e55da04d3247a249ade9ffa\",0,\"algebra_12308\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000413.lean\",\"a3da0302639f166b35078e4d8cae0a8de8b027ccba66b2656709a7598db3b76d\",0,\"algebra_12350\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000414.lean\",\"d5e2edd1341bf40e1507795d8ade50111a3cb46107ba391e7c577f7c83cf6186\",0,\"algebra_12370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347006,
+      "path": "data/train/pe8/numina-000082-0000-b5059a665b75c19c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "b5059a665b75c19c4619074241e8a2f686737b2879819243add7bd0ff2352e5d"
+    },
+    {
+      "bytes": 39406,
+      "path": "data/internal_test/pe8/numina-000082-0000-c73ee8e210e59024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c73ee8e210e590241c3fc8e0a156563afc36347532cafe84a336159b45b83161"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000083.json b/manifests/batches/numina/000083.json
index d3c2f2294483ad915e74dd3b8ca7de739c0fb4ce..f2230ebb43f15be86c763c46e3c8145c9724fb06 100644
--- a/manifests/batches/numina/000083.json
+++ b/manifests/batches/numina/000083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000083",
   "batch_fingerprint": "348678ff8f4625a14689731f79c68f5334f1f9d24655264b5870246d29026086",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000083-0000-64867e81013f624b.parquet",
-      "sha256": "64867e81013f624bd22f06760bc1c6614330417b11380c26ff6570b2bdcf343a",
-      "bytes": 361260,
-      "rows": 35,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000083-0000-f38297cd972c7f00.parquet",
-      "sha256": "f38297cd972c7f00cda6606377e6d8ce95bfee2eafebcd210806679041fa299a",
-      "bytes": 36370,
-      "rows": 3,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47c01858-a9e6-52e1-ac75-ff23d3295783",
     "numina:8f5ab77b-92a7-52ab-9123-3a42948d8b8d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000417.lean\",\"6afa393611d5bda0a297d4d7b50baecfcb586f8eacf4104efa9124c779968b01\",0,\"algebra_12596\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000418.lean\",\"681ed7e24fb4ea9bdd87a0490ef1c952e98386380d01b992a5ff7cab66f25d97\",0,\"algebra_12601\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000419.lean\",\"08e1e867d5daaaa7a6da3d85a7a47d9dcf768037d8fb8c286fe0a7f07a9efa99\",0,\"algebra_1436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361260,
+      "path": "data/train/p04/numina-000083-0000-64867e81013f624b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "64867e81013f624bd22f06760bc1c6614330417b11380c26ff6570b2bdcf343a"
+    },
+    {
+      "bytes": 36370,
+      "path": "data/internal_test/p04/numina-000083-0000-f38297cd972c7f00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f38297cd972c7f00cda6606377e6d8ce95bfee2eafebcd210806679041fa299a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000084.json b/manifests/batches/numina/000084.json
index d96d713c18ce9d1e8866a4e6c8feee1bf0ad89b9..fa65469d95a7a26596c8323f7d7437931aef7998 100644
--- a/manifests/batches/numina/000084.json
+++ b/manifests/batches/numina/000084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000084",
   "batch_fingerprint": "976470fa0395201542f5f88ffe28e1bb015fdb0d29986aa551c6f911fe6067e3",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000084-0000-42489f7ea1c27df2.parquet",
-      "sha256": "42489f7ea1c27df2891b0b98d72ba5d89c3fc439da8593f587634ae3c30cac1b",
-      "bytes": 297227,
-      "rows": 38,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f927de2-4da1-534f-b863-30bb17d4f528",
     "numina:2b34bcff-9ee7-5a95-9258-aed286f46aa7",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000422.lean\",\"d89dddb6d8432caed6ded5802dc39ebdaba92aac26dda16903c68a5a89cec572\",0,\"algebra_12866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000423.lean\",\"c57653f0e873c008781b813b326f70c8523d0a4cf6ae37ac9313aa316aa9a4aa\",0,\"calculus_12883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000424.lean\",\"8de2d9a7b8ad5130f3c8c79b313010acce86ca4d71c99e8754f94a898448ac5d\",0,\"algebra_12884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297227,
+      "path": "data/train/pe9/numina-000084-0000-42489f7ea1c27df2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "42489f7ea1c27df2891b0b98d72ba5d89c3fc439da8593f587634ae3c30cac1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000085.json b/manifests/batches/numina/000085.json
index ed424a9716076ca3873c3d096c571cae29e3bdf8..6bc049f3aacb76cfafc3df7b52f9edf42d7f1220 100644
--- a/manifests/batches/numina/000085.json
+++ b/manifests/batches/numina/000085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000085",
   "batch_fingerprint": "4afbe5fb3fdfcdc580bf8e511e3463e1640baca4011c1039f93aab29a370cb1e",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000085-0000-465d9131495c82f1.parquet",
-      "sha256": "465d9131495c82f1a742e218b3aa21cd30e4244744515f9e30d878237363b4c3",
-      "bytes": 662533,
-      "rows": 38,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9e1c4689-2c2a-5f69-ae8f-d5328c668823",
     "numina:c455106e-8474-5ff2-a0f7-2519f10b6a18",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000427.lean\",\"364bcd1554116ca98728bd700540d8c5da75a7e3d9e0e62886cc04c53506bfe6\",0,\"algebra_12970\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000428.lean\",\"0731be0215f78727cb2c2db09ecc3f884374e955ffa6c14caf581ca86e31d635\",0,\"algebra_13034\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000429.lean\",\"060da8578df34d5396a73cb39cbc18a3ae2e08b2f09e6640891f3358b37f2709\",0,\"algebra_13062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662533,
+      "path": "data/train/pba/numina-000085-0000-465d9131495c82f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "465d9131495c82f1a742e218b3aa21cd30e4244744515f9e30d878237363b4c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000086.json b/manifests/batches/numina/000086.json
index ebf92fe409567baadfac5d0aac34130ba918d20e..5ff0c2b274301c0100288fc22ba9fee766e7f41f 100644
--- a/manifests/batches/numina/000086.json
+++ b/manifests/batches/numina/000086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000086",
   "batch_fingerprint": "f39b0ab752ff52b7f587d626d233347fb8700d3fa7872cd7de081e649a46582a",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 62,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1fd93acc-28dd-51a7-b2ab-291a7c2be935",
+    "numina:21baff01-e377-5899-9dbd-056cf6b1e3b7",
+    "numina:37e39db1-f020-5504-a194-00e23f118a76",
+    "numina:bedec4b0-0be6-54cb-8fb2-595c1a6f2393",
+    "numina:d76a1fbb-8509-5748-9753-acafcd562b6c"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000430.lean\",\"22a3d37f4b1deb69271b05c5edfdb5885515b49e3bec14dcdfea95c325b1fe4f\",0,\"algebra_13092\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000431.lean\",\"e69732ad322dcf5f94c0f7c5c6e442ebb5e729b239b31fb606505f8db5abc71e\",0,\"algebra_13189\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000432.lean\",\"7f732c9426c01dfb42e1536ab4dd88f848002c0878b299644eaba95110c836a5\",0,\"algebra_13276\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000433.lean\",\"cbcb3d0ecd08b3942e8aabc6c9038a9afd3242c2777188cc57d8bfcae073ad69\",0,\"algebra_13312\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000434.lean\",\"15b27cb5414daac9fec457c4f085fedc3449a983119662d617651efde0939c57\",0,\"algebra_13322\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000086-0000-b3f20e0e644b351d.parquet",
-      "sha256": "b3f20e0e644b351d72ccb1cfd7730602679bfc6a9e3d347a157ecfdfc1f7cea0",
       "bytes": 339640,
+      "path": "data/train/p5e/numina-000086-0000-b3f20e0e644b351d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
+      "sha256": "b3f20e0e644b351d72ccb1cfd7730602679bfc6a9e3d347a157ecfdfc1f7cea0"
     },
     {
-      "path": "data/train/numina-000086-0001-f480dfd245d76656.parquet",
-      "sha256": "f480dfd245d766561d8729d5b2c07b923c94f66e9d58625e43cf11495e5c9ee0",
       "bytes": 696010,
+      "path": "data/train/p5e/numina-000086-0001-f480dfd245d76656.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
+      "sha256": "f480dfd245d766561d8729d5b2c07b923c94f66e9d58625e43cf11495e5c9ee0"
     },
     {
-      "path": "data/train/numina-000086-0002-f3b8562a393174ff.parquet",
-      "sha256": "f3b8562a393174ff91f90c0bbae6cf038a183622dad397e363d4d4e3f18ba7ec",
       "bytes": 501986,
+      "path": "data/train/p5e/numina-000086-0002-f3b8562a393174ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
+      "sha256": "f3b8562a393174ff91f90c0bbae6cf038a183622dad397e363d4d4e3f18ba7ec"
     },
     {
-      "path": "data/internal_test/numina-000086-0000-3088ce5ecf5f2c00.parquet",
-      "sha256": "3088ce5ecf5f2c00a1fdee3b8fe080f8f705115d80894ce1f9bb4ea34120c4dc",
       "bytes": 155994,
+      "path": "data/internal_test/p5e/numina-000086-0000-3088ce5ecf5f2c00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
+      "sha256": "3088ce5ecf5f2c00a1fdee3b8fe080f8f705115d80894ce1f9bb4ea34120c4dc"
     }
-  ],
-  "proof_ids": [
-    "numina:1fd93acc-28dd-51a7-b2ab-291a7c2be935",
-    "numina:21baff01-e377-5899-9dbd-056cf6b1e3b7",
-    "numina:37e39db1-f020-5504-a194-00e23f118a76",
-    "numina:bedec4b0-0be6-54cb-8fb2-595c1a6f2393",
-    "numina:d76a1fbb-8509-5748-9753-acafcd562b6c"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000430.lean\",\"22a3d37f4b1deb69271b05c5edfdb5885515b49e3bec14dcdfea95c325b1fe4f\",0,\"algebra_13092\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000431.lean\",\"e69732ad322dcf5f94c0f7c5c6e442ebb5e729b239b31fb606505f8db5abc71e\",0,\"algebra_13189\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000432.lean\",\"7f732c9426c01dfb42e1536ab4dd88f848002c0878b299644eaba95110c836a5\",0,\"algebra_13276\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000433.lean\",\"cbcb3d0ecd08b3942e8aabc6c9038a9afd3242c2777188cc57d8bfcae073ad69\",0,\"algebra_13312\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000434.lean\",\"15b27cb5414daac9fec457c4f085fedc3449a983119662d617651efde0939c57\",0,\"algebra_13322\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000087.json b/manifests/batches/numina/000087.json
index 3b158d4b95809c2e68fb6fd432c24aad6ade46a3..5ba1d5a54547604b0eaef7db2adbaf85e9d7fdfd 100644
--- a/manifests/batches/numina/000087.json
+++ b/manifests/batches/numina/000087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000087",
   "batch_fingerprint": "82e6119c07418f62e4334daafd74f76b53618ef468c98e71ad61ae8f45802a2d",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 47,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000087-0000-0443e5692e866cf4.parquet",
-      "sha256": "0443e5692e866cf4ed7e284c923f3f1a71db14a9c4f6ec565f4f3176f578d710",
-      "bytes": 314368,
-      "rows": 34,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000087-0000-30b423e1caa3f673.parquet",
-      "sha256": "30b423e1caa3f67327a8446158936765294d0a5d7ce038525ee66e5b26c9281c",
-      "bytes": 184825,
-      "rows": 13,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3218a2c2-19a8-58e8-a972-5aef9f6ddecc",
     "numina:5a27edfc-32fd-5f09-b26f-d3454d1d7265",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000437.lean\",\"5e52ab8981a841738f99b6785c55072033cb8eb66f68dd17170fd8769cf97530\",0,\"algebra_13511\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000438.lean\",\"187a8d1746de14cc6d1241d1b84673cba1f1c0c848f31d1919021878e164dcf5\",0,\"algebra_13554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000439.lean\",\"cd7c6edaa4d9dcdf8fdbbf30ff93d0b6265ffe1b995750d0d4eee38eed226fce\",0,\"algebra_13588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314368,
+      "path": "data/train/p35/numina-000087-0000-0443e5692e866cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "0443e5692e866cf4ed7e284c923f3f1a71db14a9c4f6ec565f4f3176f578d710"
+    },
+    {
+      "bytes": 184825,
+      "path": "data/internal_test/p35/numina-000087-0000-30b423e1caa3f673.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "30b423e1caa3f67327a8446158936765294d0a5d7ce038525ee66e5b26c9281c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000088.json b/manifests/batches/numina/000088.json
index 902d43a05dc9d4cf64cecdb943692958c6d145a5..11de042eb726c66cdcc8418bb3e879267a55ab6d 100644
--- a/manifests/batches/numina/000088.json
+++ b/manifests/batches/numina/000088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000088",
   "batch_fingerprint": "124e98d523333d27e1b4293aab1267b57be250bb214b853b44d568055634663d",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 84,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000088-0000-9e2c34788b0526ca.parquet",
-      "sha256": "9e2c34788b0526cae8ecc9a9bc3bfe9faa2724dd706679ba8dcc96c3570d4196",
-      "bytes": 624747,
-      "rows": 78,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/train/numina-000088-0001-fb216ea3e125357a.parquet",
-      "sha256": "fb216ea3e125357a79a9bdb768b780c6ffe7a58194232f3796923b75afcfd8ca",
-      "bytes": 66299,
-      "rows": 6,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d7512f4-6947-5345-bb26-b4f22bdc17cb",
     "numina:618e594e-08c9-551c-99ee-f6ec59e820d4",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000442.lean\",\"8c16d18f9b53789289f0820eb1e717bf45bfcd29ac3defcb5139f08fac6ed222\",0,\"algebra_13755\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000443.lean\",\"4badedf405cea8a578ce4e631e2628446aba1be308153b04d4fc02b76eac3686\",0,\"algebra_13755\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000444.lean\",\"6a43437f7bc5e9d4d54dc90ff2988506a18edb3dc434f4401212785dca16ced5\",0,\"algebra_13766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624747,
+      "path": "data/train/p58/numina-000088-0000-9e2c34788b0526ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 78,
+      "sha256": "9e2c34788b0526cae8ecc9a9bc3bfe9faa2724dd706679ba8dcc96c3570d4196"
+    },
+    {
+      "bytes": 66299,
+      "path": "data/train/p58/numina-000088-0001-fb216ea3e125357a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fb216ea3e125357a79a9bdb768b780c6ffe7a58194232f3796923b75afcfd8ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000089.json b/manifests/batches/numina/000089.json
index 3dd21cfb73000a92a367d20079bcf8b2258f011b..c27b2a6988ea81ef022195fc4a6e421b4902dca3 100644
--- a/manifests/batches/numina/000089.json
+++ b/manifests/batches/numina/000089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000089",
   "batch_fingerprint": "2871eec1a76eabac7244718e680cb868af2ac0438674dfb39e8b7482ee09021b",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000089-0000-d8fc8294247595dc.parquet",
-      "sha256": "d8fc8294247595dcd09e0234d5c1fdee82cfc96ef1aefa202837f0e3a9a5cba9",
-      "bytes": 379524,
-      "rows": 27,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6077475f-826b-5d91-8f6a-51512b96683e",
     "numina:9985f971-9ef0-524a-86e0-99c89b0a8dae",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000447.lean\",\"1893aae90f18f4b5349480c7250ae46549d6b752ef03428e48043b8c36395861\",0,\"algebra_13884\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000448.lean\",\"e5c5cc9c649e93b3265d2e4f9ef20012fbbefca627b2de33b0d97226748f0ae5\",0,\"algebra_13902\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000449.lean\",\"aef122e0aa9c3b351575e8fd4152e7feba5b46084226a10d2b2c4deb0c7fe3a4\",0,\"algebra_13960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379524,
+      "path": "data/train/pc3/numina-000089-0000-d8fc8294247595dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "d8fc8294247595dcd09e0234d5c1fdee82cfc96ef1aefa202837f0e3a9a5cba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000090.json b/manifests/batches/numina/000090.json
index a000c7b3820b183a5011d2f3a2e85cdfdfc87d05..ffe2efe582246e981aa5a00d974b2da94878d6e8 100644
--- a/manifests/batches/numina/000090.json
+++ b/manifests/batches/numina/000090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000090",
   "batch_fingerprint": "c528019bfee131bcfaaf0aad4ef42e62ec269d6d18923787b84b20496440ac96",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 18,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000090-0000-f76db53d4dcade84.parquet",
-      "sha256": "f76db53d4dcade84d77153cd4ba3bb107fd6bee86547d84f3d412b2d6381fed2",
-      "bytes": 104080,
-      "rows": 10,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/dev/numina-000090-0000-6a4f6eef0e65d13a.parquet",
-      "sha256": "6a4f6eef0e65d13ad96058b068f4b74b5f8d4e5e71c5d32b2770b3c1cc0dbb6c",
-      "bytes": 40745,
-      "rows": 6,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000090-0000-9f271db4ce69147b.parquet",
-      "sha256": "9f271db4ce69147b92cbd3ada7c69f87ded9821e557a8f7f05c267034d658838",
-      "bytes": 43327,
-      "rows": 2,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b38d9cb-0b1d-5ef8-9fe6-4baa1f581ff7",
     "numina:216d823d-ea6a-5b6d-8b73-c7613cf15f30",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000452.lean\",\"fbaeebbf80afb7fe925f1a526aa8a5748480cfb759cd415b1ae540ac48bb4870\",0,\"algebra_6559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000453.lean\",\"a00d7717a3319c6d96648626519503361b791dc5a67f6aa52f8dc25a016d1158\",0,\"algebra_14036\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000454.lean\",\"4bc613c3572faeda0e7283e06bfc3c657ffccf45b7256c659663373bc86723e0\",0,\"algebra_14085\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104080,
+      "path": "data/train/pb3/numina-000090-0000-f76db53d4dcade84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f76db53d4dcade84d77153cd4ba3bb107fd6bee86547d84f3d412b2d6381fed2"
+    },
+    {
+      "bytes": 40745,
+      "path": "data/dev/pb3/numina-000090-0000-6a4f6eef0e65d13a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6a4f6eef0e65d13ad96058b068f4b74b5f8d4e5e71c5d32b2770b3c1cc0dbb6c"
+    },
+    {
+      "bytes": 43327,
+      "path": "data/internal_test/pb3/numina-000090-0000-9f271db4ce69147b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9f271db4ce69147b92cbd3ada7c69f87ded9821e557a8f7f05c267034d658838"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000091.json b/manifests/batches/numina/000091.json
index 0721d397d7dbac9acfcc63214065965204dc02f0..5936b1c39d623ab75aa96d1dc5341590e341fca1 100644
--- a/manifests/batches/numina/000091.json
+++ b/manifests/batches/numina/000091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000091",
   "batch_fingerprint": "048539a5b021cce1a269c38e5fa170d770118870ae592f0ddab8a639c96c61fd",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 33,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000091-0000-760af94e1040a3f0.parquet",
-      "sha256": "760af94e1040a3f0eb64e98d9c19266ff60a180958289563c757d5c32ff8a0fb",
-      "bytes": 140914,
-      "rows": 17,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000091-0000-804d506d2e4a5764.parquet",
-      "sha256": "804d506d2e4a5764aab5a9dde078560702cf692f39d9ca37bd3ca545d3784f33",
-      "bytes": 107420,
-      "rows": 16,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c7b6dab-c09d-5b3a-b78d-6b41fb44df98",
     "numina:30453ec4-2607-5cc7-a000-a8501a4694c6",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000457.lean\",\"7050c3a7d4509261b794748112cd8f0378ce06204bc9ad23c68dfba8ecf138d0\",0,\"number_theory_14215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000458.lean\",\"9e1327116dd09c6571301305b3a018f8b2fcb021bfc0dd3236f589bd86ceaa7f\",0,\"algebra_14222.algebra_14222\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000459.lean\",\"3676eab23b969f9d8dbc4af22627a954189447c1dc5ecdda90e83fb017f60066\",0,\"algebra_14224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140914,
+      "path": "data/train/pb1/numina-000091-0000-760af94e1040a3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "760af94e1040a3f0eb64e98d9c19266ff60a180958289563c757d5c32ff8a0fb"
+    },
+    {
+      "bytes": 107420,
+      "path": "data/internal_test/pb1/numina-000091-0000-804d506d2e4a5764.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "804d506d2e4a5764aab5a9dde078560702cf692f39d9ca37bd3ca545d3784f33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000092.json b/manifests/batches/numina/000092.json
index 04be559b358dca8913a48cce7ecb99285a0b0697..938c704dc187c598e606b03e3a319fb5dc3cd9e6 100644
--- a/manifests/batches/numina/000092.json
+++ b/manifests/batches/numina/000092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000092",
   "batch_fingerprint": "60d0aa1c9b7d6b41ca6d8600a71351a2ba0ce27668f4ac69c073488365d2a12f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000092-0000-7efdb2d01dc26045.parquet",
-      "sha256": "7efdb2d01dc26045e99251cfcbab40980b813842f0618ab2919d7c95f4385d19",
-      "bytes": 422498,
-      "rows": 28,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:613e4da5-ef25-5784-906c-f0f4412667c4",
     "numina:6a8295c8-7ccd-50ca-98a1-b0078369b1d3",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000462.lean\",\"c01a0969d2c49fa61093c1aa4f75249869de06b47486ffcac99cb3346abd8856\",0,\"algebra_14264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000463.lean\",\"349ad2d01f8dd350670666290e3de91d190f9d5b15bdc82b4264470f7546a86c\",0,\"algebra_14267\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000464.lean\",\"5470bc694fc71f7e86726f200f532c171c50bf49651b48fc8dd94c9f4b443546\",0,\"algebra_14287\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422498,
+      "path": "data/train/pb2/numina-000092-0000-7efdb2d01dc26045.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "7efdb2d01dc26045e99251cfcbab40980b813842f0618ab2919d7c95f4385d19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000093.json b/manifests/batches/numina/000093.json
index 66073fdf0372b6ae4f2dd99df5166ef4493dc4bc..a19b88e0b84dbe5b14d1b74b10c877ae36cca159 100644
--- a/manifests/batches/numina/000093.json
+++ b/manifests/batches/numina/000093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000093",
   "batch_fingerprint": "e7729e0f480a4e59de8ff5bdc9a5927550628e7714239794b044d6514ab90bb0",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 56,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000093-0000-14728de21bdcb14f.parquet",
-      "sha256": "14728de21bdcb14f6a6cd4b5487b723c40b87ad0855b6f25bac1531bfdceba20",
-      "bytes": 394978,
-      "rows": 23,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/train/numina-000093-0001-f8e2e1e806edba8b.parquet",
-      "sha256": "f8e2e1e806edba8b5e872e42a3a114f25760e411211ae6870a5d98d76519774e",
-      "bytes": 127145,
-      "rows": 25,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/dev/numina-000093-0000-96267aa64df5308b.parquet",
-      "sha256": "96267aa64df5308b1c341e0a708a774e53f870547dc617857a3496bc374efa61",
-      "bytes": 52923,
-      "rows": 8,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c6c614e-3a25-5bc3-8907-518503027478",
     "numina:3a380031-fccd-508e-a30e-40827f97a622",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000467.lean\",\"c64e6fef888b442b19b75f03aa300b12d1115ea002041f43b418a111d66b1946\",0,\"algebra_14310\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000468.lean\",\"8459d9419e3d01c6b8e8f4767dd569823b7c3ecd701ee1ffff10aa0cf0d25403\",0,\"algebra_14358\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000469.lean\",\"416eae6f9947f1f6aeee34f76548cc1f975b4b0113745fd53e237509e62ccd87\",0,\"algebra_14430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394978,
+      "path": "data/train/pd1/numina-000093-0000-14728de21bdcb14f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "14728de21bdcb14f6a6cd4b5487b723c40b87ad0855b6f25bac1531bfdceba20"
+    },
+    {
+      "bytes": 127145,
+      "path": "data/train/pd1/numina-000093-0001-f8e2e1e806edba8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f8e2e1e806edba8b5e872e42a3a114f25760e411211ae6870a5d98d76519774e"
+    },
+    {
+      "bytes": 52923,
+      "path": "data/dev/pd1/numina-000093-0000-96267aa64df5308b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "96267aa64df5308b1c341e0a708a774e53f870547dc617857a3496bc374efa61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000094.json b/manifests/batches/numina/000094.json
index bf9bbe9ba64638c1c6cfb0e4ee1e26dbb4efac39..44e902b4b72cd06a3f1d5cb9cc29fbd51ea4009f 100644
--- a/manifests/batches/numina/000094.json
+++ b/manifests/batches/numina/000094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000094",
   "batch_fingerprint": "3c082eeb150612adaa3fc03f497c396b48515909910f69ba9e12f182a81fe935",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 17,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000094-0000-b7d4eb169eb6694c.parquet",
-      "sha256": "b7d4eb169eb6694cd5d69d0ec0ee111bf65adf9681db122753fbf6bfe7f23c66",
-      "bytes": 105327,
-      "rows": 11,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000094-0000-089eafe10cd0735b.parquet",
-      "sha256": "089eafe10cd0735b4bb6812fea27a666aa55be142453bae62bc4a682b5af149e",
-      "bytes": 62747,
-      "rows": 6,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3528d1d7-bbbd-524d-9784-3d0309e4601b",
     "numina:3cf864b5-afd9-559e-956f-ec95bbc3cc64",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000472.lean\",\"57462bfddf095e1c1af55aca6e348d85997ef7a8b1e27a0459d5ae0089b3c2e3\",0,\"algebra_14497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000473.lean\",\"984ea8903a734d26875ffe2fe53fe35ad362f20ab56bd9d9bc7ad62c3bbb6ccc\",0,\"algebra_14546\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000474.lean\",\"118c030b6153ecb5d2d841ab44c08fb32845e04592b0c7260c99e3f3ceb2288f\",0,\"number_theory_14568\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105327,
+      "path": "data/train/pbf/numina-000094-0000-b7d4eb169eb6694c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b7d4eb169eb6694cd5d69d0ec0ee111bf65adf9681db122753fbf6bfe7f23c66"
+    },
+    {
+      "bytes": 62747,
+      "path": "data/internal_test/pbf/numina-000094-0000-089eafe10cd0735b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "089eafe10cd0735b4bb6812fea27a666aa55be142453bae62bc4a682b5af149e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000095.json b/manifests/batches/numina/000095.json
index 402c08caa53821d6d3e700d2fc433b7b7953fb5d..6059cdd45b8b2b4d52f431d3bc7ef98392b43242 100644
--- a/manifests/batches/numina/000095.json
+++ b/manifests/batches/numina/000095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000095",
   "batch_fingerprint": "afe2a57d73fd1f080734ec0e98e5045c6b6cd5e11c85481d3d3e8933bdfaf018",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 44,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000095-0000-efd01b12f232359e.parquet",
-      "sha256": "efd01b12f232359e11212e478c79b18867f633184142d0cdc2c702709112ae7a",
-      "bytes": 382666,
-      "rows": 44,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c48ea3b-6485-589c-a19a-89f69b42776b",
     "numina:b06a3a98-d1da-59b0-a3ee-6f188cb0aa68",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000477.lean\",\"0b3df4b086e759920d58264eb5546d5f4e6511968b2a1d9418b5184432787d24\",0,\"algebra_14789\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000478.lean\",\"e8ab9a6019c56c602f00fe268448aa01e324474f269b02a05d662064ec102abb\",0,\"algebra_14887\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000479.lean\",\"ccf6fad6ff4d9027cb1fd9cb18fc8a66de8431967820a73f2df2efc458398346\",0,\"algebra_14900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382666,
+      "path": "data/train/pba/numina-000095-0000-efd01b12f232359e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "efd01b12f232359e11212e478c79b18867f633184142d0cdc2c702709112ae7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000096.json b/manifests/batches/numina/000096.json
index dedb96607c7a17c1a9a2b8bf0d12e032c317851e..8cb5bce3ce8613202d32f7157973db0ec8494131 100644
--- a/manifests/batches/numina/000096.json
+++ b/manifests/batches/numina/000096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000096",
   "batch_fingerprint": "4b702d289da72c5f2f9df194bcc8d67bd2057010b93a4f10806d8591d6227e0f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 60,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000096-0000-38b958a432a5bd5d.parquet",
-      "sha256": "38b958a432a5bd5d56a7a3b5a51d1948aae92429c0b39b6550185feda19d8152",
-      "bytes": 658604,
-      "rows": 60,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0055c4af-6cd3-5e77-b62a-5e5fa799d53a",
     "numina:2f319bec-0fe1-527e-821f-dae0c68b835b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000482.lean\",\"43d4bbad2967a911b2b22a0a381d47ccbb911c1ce9f3ff127983a645c223729a\",0,\"algebra_15282\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000483.lean\",\"2c7f0ca855cb27ede907b4ef1bd8d46ac933b9bbf464bafe0fc6a3348743dd57\",0,\"algebra_15416\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000484.lean\",\"4207912fbcf228674c163a7b835f1433b90870ff6757384a699b488f3ca06111\",0,\"algebra_15427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 658604,
+      "path": "data/train/pa8/numina-000096-0000-38b958a432a5bd5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "38b958a432a5bd5d56a7a3b5a51d1948aae92429c0b39b6550185feda19d8152"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000097.json b/manifests/batches/numina/000097.json
index 8a89633e618a43b2904178e91dcb202899dd58c2..ef1db7a6f73967c9833a077bd80bf418b0ce4a00 100644
--- a/manifests/batches/numina/000097.json
+++ b/manifests/batches/numina/000097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000097",
   "batch_fingerprint": "35ac141588e82281df5912432735857e9ae425c3c2999f588f383ca7efab0f2e",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000097-0000-4d03ee7c8616436a.parquet",
-      "sha256": "4d03ee7c8616436afb0d64e1b2f6166314db24abe1e5a06796d88124a9e926a9",
-      "bytes": 531412,
-      "rows": 36,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27a5d6db-9a32-5e16-bb38-502056a489ef",
     "numina:5ac0f7b4-cd93-58f1-a132-3132acf53a8a",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000487.lean\",\"e74a7b9bf9af416e1ca1c409fe44af8144da923a69b0fb0dd6721c046e41c541\",0,\"number_theory_15524\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000488.lean\",\"8635333f899e308ae11ee95a3008353d5895c56315ca00a322655c2f2b2261b8\",0,\"algebra_15783\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000489.lean\",\"77327e8ad316308b657ad0519fff05282a73b7601123ad3ba6f4702722ef09d7\",1,\"algebra_15800\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531412,
+      "path": "data/train/pc6/numina-000097-0000-4d03ee7c8616436a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "4d03ee7c8616436afb0d64e1b2f6166314db24abe1e5a06796d88124a9e926a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000098.json b/manifests/batches/numina/000098.json
index 0407d48be52fc8d5f322f31f460c48951002c2cf..762ebdbcdfdc67c591e22e5b87bdc342c58f1f72 100644
--- a/manifests/batches/numina/000098.json
+++ b/manifests/batches/numina/000098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000098",
   "batch_fingerprint": "d5b595d22234a3326613eacd94dba6fbb25c877a0aa0d9be4b29ab87e1df1ace",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 63,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000098-0000-8fc000b60b8fdf50.parquet",
-      "sha256": "8fc000b60b8fdf50180fabe517cc9cc7549372dff14a317e2f156d212c382545",
-      "bytes": 99876,
-      "rows": 14,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/dev/numina-000098-0000-1d378788c47e3998.parquet",
-      "sha256": "1d378788c47e3998334ed91819e4e16b505d9427ab63471c61c78744eecc96d0",
-      "bytes": 306433,
-      "rows": 33,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000098-0000-d70368a91c45a0b1.parquet",
-      "sha256": "d70368a91c45a0b18ae4d02ab026e2bc1379f402e375cee90097e5e38a1a580f",
-      "bytes": 298943,
-      "rows": 16,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ce85fba-cf22-5936-a374-bffc6306ff38",
     "numina:2330c051-edbd-59ad-a924-b537e36e8cde",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000492.lean\",\"03f91d795552e5182ea046884efb1ef2bc4b9ab0cd9aadd5e1962e2953aedea5\",0,\"algebra_16237\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000493.lean\",\"81c2bdea0fda35406fe011401abee871178964909da858cfa277c910b247017d\",0,\"number_theory_16239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000494.lean\",\"7a66bc667d37deb05a498baf011d8662075c22f950fa976923d7ff19ad779a22\",0,\"calculus_16316\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99876,
+      "path": "data/train/p8b/numina-000098-0000-8fc000b60b8fdf50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8fc000b60b8fdf50180fabe517cc9cc7549372dff14a317e2f156d212c382545"
+    },
+    {
+      "bytes": 306433,
+      "path": "data/dev/p8b/numina-000098-0000-1d378788c47e3998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1d378788c47e3998334ed91819e4e16b505d9427ab63471c61c78744eecc96d0"
+    },
+    {
+      "bytes": 298943,
+      "path": "data/internal_test/p8b/numina-000098-0000-d70368a91c45a0b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d70368a91c45a0b18ae4d02ab026e2bc1379f402e375cee90097e5e38a1a580f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000099.json b/manifests/batches/numina/000099.json
index 1b95825dc65ea5219ffe7881bd0508c63b5f8fd2..91dc4fe112d971511ffd79c2582fbdbf4cef00b1 100644
--- a/manifests/batches/numina/000099.json
+++ b/manifests/batches/numina/000099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000099",
   "batch_fingerprint": "125c82dd1d262434930ce59b2bfe4cbbc44b08897f69e8dfa7efa7b3a4ac3d1d",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000099-0000-17b290403dcd01eb.parquet",
-      "sha256": "17b290403dcd01ebd6fec30f20cd784f79997598927b88954abbc3675f89d15c",
-      "bytes": 105522,
-      "rows": 17,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    },
-    {
-      "path": "data/internal_test/numina-000099-0000-237f6061bdbcadb0.parquet",
-      "sha256": "237f6061bdbcadb00271a317f32876b6aa452e24aa6d315dab80d19a3274c70d",
-      "bytes": 423520,
-      "rows": 21,
-      "revision": "12c8bf0b0fa04549f88b18a76ebf529b157ebbb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c6f847d-c9c1-52e3-ba2c-832c2549d7f4",
     "numina:70768c80-15e2-5284-a65e-737aabc4e92d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000497.lean\",\"21e094422e888e6470076d1116fa95fc0453767bb3342b4b92f05b8e84839b12\",0,\"algebra_16876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000498.lean\",\"21e094422e888e6470076d1116fa95fc0453767bb3342b4b92f05b8e84839b12\",0,\"algebra_16876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000499.lean\",\"9aef8bc035f1d6901571bb25d04f7af611101a9511ce29a07a85bfc866a06f8a\",0,\"algebra_17198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105522,
+      "path": "data/train/p4f/numina-000099-0000-17b290403dcd01eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "17b290403dcd01ebd6fec30f20cd784f79997598927b88954abbc3675f89d15c"
+    },
+    {
+      "bytes": 423520,
+      "path": "data/internal_test/p4f/numina-000099-0000-237f6061bdbcadb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "237f6061bdbcadb00271a317f32876b6aa452e24aa6d315dab80d19a3274c70d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000100.json b/manifests/batches/numina/000100.json
index d3dd40878c9c5a2d87be08b0091d4ce94a0f4456..0fde0ed2491ad369bddcf6fe6754fd75961805c0 100644
--- a/manifests/batches/numina/000100.json
+++ b/manifests/batches/numina/000100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000100",
   "batch_fingerprint": "c32d918659cb63cfc8ea054f034bd123af58cfc8d6ae9c93f9049e8ef28e0da8",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000100-0000-f48872e54a4a1980.parquet",
-      "sha256": "f48872e54a4a198005af139c12872a68a9f1585dbc90dac1f0a1f3568acf4f7f",
-      "bytes": 163888,
-      "rows": 24,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000100-0000-45b5bc6d118e9c88.parquet",
-      "sha256": "45b5bc6d118e9c8895abed6acc749fc26d37013788b0da2561c70224e91462f4",
-      "bytes": 141808,
-      "rows": 12,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15f0c7f4-4196-541c-ab49-289e44a07bf5",
     "numina:41593993-2d58-563f-8daf-e77eb4ac3e53",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000502.lean\",\"eeaba6a3505bd08ccfe3063d2e48e71d504a65b1ceb2b9185ad0eb3588d98717\",0,\"algebra_18544\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000503.lean\",\"2e28f54e649d046ac9e96e0cce8f1affe1202c5f22b9b75c37c0bc0eda550db5\",0,\"algebra_18569\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000504.lean\",\"719595c7780c6c9487dfcff7297ceda7a3bb05a6b9b2f2407c4ace8804c8fddc\",0,\"algebra_18577\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163888,
+      "path": "data/train/pdb/numina-000100-0000-f48872e54a4a1980.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f48872e54a4a198005af139c12872a68a9f1585dbc90dac1f0a1f3568acf4f7f"
+    },
+    {
+      "bytes": 141808,
+      "path": "data/internal_test/pdb/numina-000100-0000-45b5bc6d118e9c88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "45b5bc6d118e9c8895abed6acc749fc26d37013788b0da2561c70224e91462f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000101.json b/manifests/batches/numina/000101.json
index c6ddaf3098c856586f42d480c4df769fd6cd1637..b771c5516acf23bdb91f6558338d19e0ad3a706b 100644
--- a/manifests/batches/numina/000101.json
+++ b/manifests/batches/numina/000101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000101",
   "batch_fingerprint": "bad95d49e8b7e1145c90f501fe9f29a3253a93f46800df0d4eecd8dc608673ad",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000101-0000-4e93233d8723dd2f.parquet",
-      "sha256": "4e93233d8723dd2f755fc1b12bd355371ad165a66d957085d230eda4a58adcfa",
-      "bytes": 139026,
-      "rows": 29,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000101-0000-758994e93a18f291.parquet",
-      "sha256": "758994e93a18f291a6506e440d1328a88585da0a2a4f8b93448b1d485a51e988",
-      "bytes": 59799,
-      "rows": 5,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24bdc684-a804-51fe-8d86-07760da12691",
     "numina:2cbe61e1-9885-5057-a685-2f009b15d192",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000507.lean\",\"90e0a88707cdb433e8a7eac61ab161d82c15e87b6137c1b6a698d07571ad55bc\",0,\"algebra_18605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000508.lean\",\"d811261b4b6d6a69a4eaecc8a46e122370e1278ee8c2f3eaabaa37b9ac496120\",0,\"algebra_3754\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000509.lean\",\"17504f4949c18e2a876dc5f7be923d37e23b5c67c36fdd9092a619b5d7e1ef02\",0,\"number_theory_18620\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139026,
+      "path": "data/train/pfa/numina-000101-0000-4e93233d8723dd2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4e93233d8723dd2f755fc1b12bd355371ad165a66d957085d230eda4a58adcfa"
+    },
+    {
+      "bytes": 59799,
+      "path": "data/internal_test/pfa/numina-000101-0000-758994e93a18f291.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "758994e93a18f291a6506e440d1328a88585da0a2a4f8b93448b1d485a51e988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000102.json b/manifests/batches/numina/000102.json
index 21712b88a55e3eaabe883597a88108e385c2fa8c..146792e36f2f50a19cb0cad2201e162c59f73eaf 100644
--- a/manifests/batches/numina/000102.json
+++ b/manifests/batches/numina/000102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000102",
   "batch_fingerprint": "887483344967f16bc558b43186f7bb3963607317d541c293eeb9cd0f8161d0d4",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 30,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000102-0000-558be4774faa7068.parquet",
-      "sha256": "558be4774faa7068a6907c3e7fbf6e31f87c6e994c20186b144816420222dde3",
-      "bytes": 150698,
-      "rows": 8,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000102-0000-ee5f4456e3150dda.parquet",
-      "sha256": "ee5f4456e3150dda8ca73b4843498ea0344a2e369e79dad7abde5ff63cddae56",
-      "bytes": 165268,
-      "rows": 22,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a8420ad-2566-5af9-b072-58d94ddccdaa",
     "numina:3e7d6124-92df-57e8-9f77-e3905051015e",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000512.lean\",\"5147e4fa1563dd217d82714603dbd335a3dbbe6ed131e320dc041f22e11491ed\",0,\"algebra_18659\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000513.lean\",\"f62f2a4f4a0463ef6d92d4ff3575b236d19cd8e0f2926c583a9bbb2f500441e2\",0,\"algebra_18680\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000514.lean\",\"fd630bca05e51d5d4c57fd98ef44f7e6d942f37f671b1392c80c586803b877ca\",0,\"algebra_18692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150698,
+      "path": "data/train/p71/numina-000102-0000-558be4774faa7068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "558be4774faa7068a6907c3e7fbf6e31f87c6e994c20186b144816420222dde3"
+    },
+    {
+      "bytes": 165268,
+      "path": "data/internal_test/p71/numina-000102-0000-ee5f4456e3150dda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ee5f4456e3150dda8ca73b4843498ea0344a2e369e79dad7abde5ff63cddae56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000103.json b/manifests/batches/numina/000103.json
index f006d7b49dbaf708e7521953a3a6b6affbc9dc25..baf9cb0cf4e1402fea4304defa5c79ec1d93e29e 100644
--- a/manifests/batches/numina/000103.json
+++ b/manifests/batches/numina/000103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000103",
   "batch_fingerprint": "7b430871bf634e3402853915ec2f47e5eb194a9a0c81e30261114e04da0137aa",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000103-0000-fdde78fd05e6b9d0.parquet",
-      "sha256": "fdde78fd05e6b9d045f2d250fef4aaeb8e3324b43531cb5e13bb144d446c4077",
-      "bytes": 953683,
-      "rows": 39,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0edff352-3b95-52de-b86b-c26d432686e3",
     "numina:17021eef-ca37-5a6d-b868-13af73178797",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000517.lean\",\"635358415876b65ef39acd2fb33a3a71524adea2d6fe1a39ae797b38b44ff8ec\",0,\"algebra_18749\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000518.lean\",\"712d65a96f8ab02f528b62ea620f544901d22ee55a3eade0a8c679d593736673\",0,\"algebra_18750\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000519.lean\",\"dc1bbba2fb8a7798074c53d893328d9831cd65bf942abb00937fd73d2b14695c\",0,\"algebra_18756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 953683,
+      "path": "data/train/p60/numina-000103-0000-fdde78fd05e6b9d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "fdde78fd05e6b9d045f2d250fef4aaeb8e3324b43531cb5e13bb144d446c4077"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000104.json b/manifests/batches/numina/000104.json
index 76b561dbdc07f1e333626d92f735e3fb67184f3b..9598a0c24bfdae8ec0a906eef6f1615ea7b01a76 100644
--- a/manifests/batches/numina/000104.json
+++ b/manifests/batches/numina/000104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000104",
   "batch_fingerprint": "8558cbf8704734910d02d12c9576b0b6c1ccfa74eeabb635ff8244c330812aab",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 23,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000104-0000-5f991bd4d1e01181.parquet",
-      "sha256": "5f991bd4d1e011814b8c627369d9fc2d4bd8968f157c9eae6847cc33f0536e54",
-      "bytes": 102838,
-      "rows": 23,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:135295c1-90ac-5a1e-b38a-c69b97c7b41a",
     "numina:9b62fec1-cf14-5fd3-bcd0-1adc814e204c",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000522.lean\",\"9fd8f3baef807b7a0cbba152104ab087c3c5f092088365eb26de23a5ff2edfc7\",0,\"algebra_18784\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000523.lean\",\"832cada380ffb3c634db49aef91bc4e4c1d11f993e6250aaac3fb8d1cf82cadb\",0,\"algebra_18793\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000524.lean\",\"78abfc8017c3363bf953ea64ac8d03fd3195e62351341023dbe47fa306d2bf56\",0,\"algebra_18795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102838,
+      "path": "data/train/pba/numina-000104-0000-5f991bd4d1e01181.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5f991bd4d1e011814b8c627369d9fc2d4bd8968f157c9eae6847cc33f0536e54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000105.json b/manifests/batches/numina/000105.json
index 3d220794aecacf0ba8a76aa2d88ca603c7459b02..8bc4bd027bb1d88327f0391bd4aa591be3eea403 100644
--- a/manifests/batches/numina/000105.json
+++ b/manifests/batches/numina/000105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000105",
   "batch_fingerprint": "5bb616de4eafcd904cd2cad5d9961f07c2d48510938528e7bdebca005e35f23d",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 71,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000105-0000-355cd04a86c83558.parquet",
-      "sha256": "355cd04a86c83558450169a7577ea21a55ad3dad9bb8b986072ed2f552505db8",
-      "bytes": 679493,
-      "rows": 69,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/train/numina-000105-0001-6dccdebf07419897.parquet",
-      "sha256": "6dccdebf07419897993b393c11b0cfcfc86f2980ef15cdbb9a7d219acc25e1ce",
-      "bytes": 71173,
-      "rows": 2,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:40ad8850-8b02-591f-8216-4dc35e6f622d",
     "numina:52958380-1e7c-5e7e-b904-1efa624aac71",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000527.lean\",\"6fe4dad6ded0ce0812986f20c29423b95141b31229678853626436f09fbce14f\",0,\"algebra_18864\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000528.lean\",\"5cd16bd2b702df91f297e63e533eb89c8fa1376800a14886347030bfdfc19e9c\",0,\"algebra_18909\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000529.lean\",\"6e08d58cf598404cc317627f5d3a0ee38da3c948ab0a9728e2037d214c4666f8\",0,\"algebra_18912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 679493,
+      "path": "data/train/p48/numina-000105-0000-355cd04a86c83558.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "355cd04a86c83558450169a7577ea21a55ad3dad9bb8b986072ed2f552505db8"
+    },
+    {
+      "bytes": 71173,
+      "path": "data/train/p48/numina-000105-0001-6dccdebf07419897.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6dccdebf07419897993b393c11b0cfcfc86f2980ef15cdbb9a7d219acc25e1ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000106.json b/manifests/batches/numina/000106.json
index 50a783b846d264425ebc01891c0a02a9ae522a65..7a00edd23969f62aa96c98a5e6848533f7a3ad98 100644
--- a/manifests/batches/numina/000106.json
+++ b/manifests/batches/numina/000106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000106",
   "batch_fingerprint": "77a228239e9902a94c215489591c176ef51277e3ac92901209b6d6ffb2ba9ac3",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 42,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000106-0000-546b3b864b291d31.parquet",
-      "sha256": "546b3b864b291d3182b9ce2a8b4c46dd33c1dd2939e684d5653c10a2619331f2",
-      "bytes": 99974,
-      "rows": 23,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/dev/numina-000106-0000-ddd8b6e34883afb7.parquet",
-      "sha256": "ddd8b6e34883afb7d2acd550dfa2eac9f9c57fad246b0a45ed5a9a33f82451ca",
-      "bytes": 86520,
-      "rows": 7,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000106-0000-6997e7300a6c3ae5.parquet",
-      "sha256": "6997e7300a6c3ae5ee4d234b8450872bffdcb5446014d2b39ebd2df2213351e0",
-      "bytes": 75042,
-      "rows": 12,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b2b4960-7e3b-5680-98ec-d9bb9c047286",
     "numina:6002310c-f750-511e-bb29-3bebf61f8c25",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000532.lean\",\"5720992c5b02a262ea12d348347c1560798c60ca1f1d05f2c820b213c976fd83\",0,\"algebra_18940\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000533.lean\",\"11de66328ae6426d75c8f9fad57e318de415b15f82ee8c572a822fdd4343e4d0\",0,\"algebra_18951\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000534.lean\",\"bb34c7040ba329ee214b2e538071bc22b450abf570be58314073261d1e6136e2\",0,\"algebra_18965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99974,
+      "path": "data/train/p81/numina-000106-0000-546b3b864b291d31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "546b3b864b291d3182b9ce2a8b4c46dd33c1dd2939e684d5653c10a2619331f2"
+    },
+    {
+      "bytes": 86520,
+      "path": "data/dev/p81/numina-000106-0000-ddd8b6e34883afb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ddd8b6e34883afb7d2acd550dfa2eac9f9c57fad246b0a45ed5a9a33f82451ca"
+    },
+    {
+      "bytes": 75042,
+      "path": "data/internal_test/p81/numina-000106-0000-6997e7300a6c3ae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6997e7300a6c3ae5ee4d234b8450872bffdcb5446014d2b39ebd2df2213351e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000107.json b/manifests/batches/numina/000107.json
index eb6d1445f26e5008911a4518468731cf6977f840..4e2d34b89d44c34b80e4946df605a434c1e6e2f6 100644
--- a/manifests/batches/numina/000107.json
+++ b/manifests/batches/numina/000107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000107",
   "batch_fingerprint": "066a7238046a964e530e821580033de83963646dfdb8428230b9c4a8e9ef593b",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 23,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000107-0000-56ef6782ab9d0fad.parquet",
-      "sha256": "56ef6782ab9d0fad09186865d616107c7c21fa5251dd819899765ef34190e0eb",
-      "bytes": 129972,
-      "rows": 20,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000107-0000-4e5f0ac846d084aa.parquet",
-      "sha256": "4e5f0ac846d084aa545bf1fe5bc2c3817b8c4bb2e1f75d78736f8c6f0ae73ff1",
-      "bytes": 27822,
-      "rows": 3,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f20fce6-1676-504c-8fec-056df0abc47d",
     "numina:341f2bdd-d3da-5992-a691-dd85e766ed32",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000537.lean\",\"a5696ddb569f173ebcce8698d4a1260490c4b603eb7e0372ce48884bd7f05a14\",0,\"number_theory_19001\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000538.lean\",\"1fc326e9a4d5ab317a2b8932cb5504bf8ba8ea7eabdefde4413a9bc2dd9c26a2\",0,\"number_theory_19007\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000539.lean\",\"853beb689aa4780d9d80afe8b38551b9cc71149ddb687864abf815af278a3a20\",0,\"number_theory_19011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129972,
+      "path": "data/train/p40/numina-000107-0000-56ef6782ab9d0fad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "56ef6782ab9d0fad09186865d616107c7c21fa5251dd819899765ef34190e0eb"
+    },
+    {
+      "bytes": 27822,
+      "path": "data/internal_test/p40/numina-000107-0000-4e5f0ac846d084aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4e5f0ac846d084aa545bf1fe5bc2c3817b8c4bb2e1f75d78736f8c6f0ae73ff1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000108.json b/manifests/batches/numina/000108.json
index 48bcd606d5df16ac0e5fa15b3a52b975c9a0a548..0f5ba6b09bb557612b47dec4e723fdd9a41611bc 100644
--- a/manifests/batches/numina/000108.json
+++ b/manifests/batches/numina/000108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000108",
   "batch_fingerprint": "478b1acf0870599b8dd97fcddef2c0e55413cc2546124e55db739d7632fe0b16",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 34,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000108-0000-d936b7a301740965.parquet",
-      "sha256": "d936b7a301740965ef31b12fa9c6a0b6374209d074fadd867125b33a9ef61a70",
-      "bytes": 373113,
-      "rows": 34,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0190d1d0-77f2-56a7-95bd-b2d8dc3b7743",
     "numina:6bb1319f-852b-5b40-b318-50b1700f3fed",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000542.lean\",\"a93aef9052807d18a1b75bfe4e215e1cffd3dfd1af9c3ee8f57502e1d450965a\",0,\"number_theory_19050\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000543.lean\",\"58df73aa747fa5b4d5978e68290b57ba2dc4ff8d9f83ab81a948b008affad74c\",0,\"algebra_19089\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000544.lean\",\"3cf5401d905bd2c0f16a7044b50b2ee6837062fcf64cf58c1091da852ef7376c\",0,\"algebra_19098\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373113,
+      "path": "data/train/p12/numina-000108-0000-d936b7a301740965.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "d936b7a301740965ef31b12fa9c6a0b6374209d074fadd867125b33a9ef61a70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000109.json b/manifests/batches/numina/000109.json
index 44515c11c14cfa585a8d00c3de98d5db24a17fe7..80a4f5f4a7a11ee18edefc5ae2a65441bbc391e1 100644
--- a/manifests/batches/numina/000109.json
+++ b/manifests/batches/numina/000109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000109",
   "batch_fingerprint": "3b0aefca5236d473e1b8e6ef6a1b7f288f0473c05b1a8a77c4a8bd51da97b1a7",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 77,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000109-0000-bce56eeae750d2ab.parquet",
-      "sha256": "bce56eeae750d2ab82a787ccd2a0eba083bd23ca1f7f0116e0b8a7998735c7f3",
-      "bytes": 527233,
-      "rows": 62,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/train/numina-000109-0001-5a3a51e050c59585.parquet",
-      "sha256": "5a3a51e050c5958565b5e20e43fbdc6f9a2b7bf46b0063af08c8812f617603a1",
-      "bytes": 108666,
-      "rows": 14,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000109-0000-09893b959fbcbcf6.parquet",
-      "sha256": "09893b959fbcbcf6b594cb38f72684cd4b818822ed02ccc532c31b5e6c301497",
-      "bytes": 25004,
-      "rows": 1,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41cfec24-d63e-5278-8c24-d5588e41fee6",
     "numina:51a40bd3-c428-51a9-95c8-8b16db72ac1b",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000547.lean\",\"d5ffa6ab6a62855191cdac107ac2e88a629166dbddddfd281af13d9941392bcc\",0,\"algebra_19139\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000548.lean\",\"3338d1f93d13adf46a3369e8e3d39baec5f08a314bddaf5f88cb2849d165e6db\",0,\"number_theory_19141\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000549.lean\",\"b4c9703370b560a59e47187cab4b08db10cdb0b14b16a569ae3068df91d365c4\",0,\"number_theory_19144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 527233,
+      "path": "data/train/p5b/numina-000109-0000-bce56eeae750d2ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "bce56eeae750d2ab82a787ccd2a0eba083bd23ca1f7f0116e0b8a7998735c7f3"
+    },
+    {
+      "bytes": 108666,
+      "path": "data/train/p5b/numina-000109-0001-5a3a51e050c59585.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5a3a51e050c5958565b5e20e43fbdc6f9a2b7bf46b0063af08c8812f617603a1"
+    },
+    {
+      "bytes": 25004,
+      "path": "data/internal_test/p5b/numina-000109-0000-09893b959fbcbcf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "09893b959fbcbcf6b594cb38f72684cd4b818822ed02ccc532c31b5e6c301497"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000110.json b/manifests/batches/numina/000110.json
index 58c9af4c840bccbee44c528d410ff5ff7095ab37..32d01d90045a8bf09358ba0ccae16ab345db449a 100644
--- a/manifests/batches/numina/000110.json
+++ b/manifests/batches/numina/000110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000110",
   "batch_fingerprint": "6ff0b2fbff53cc4467c2b9ac89e8e90c3a0f91efdc7aa5beb28ac75e15f1fbed",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000110-0000-dd5cffcdc0af5d64.parquet",
-      "sha256": "dd5cffcdc0af5d6405fafffad1acdada44691cea764af3d1a161f4d552fb022a",
-      "bytes": 245852,
-      "rows": 41,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39494187-33b4-5948-8063-95b69c368b4e",
     "numina:3a6ec420-9cd4-5616-92e6-1db59dfbbb0b",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000552.lean\",\"860bc3cd8813ff7d248a78db2985fb761c37cc8b47f6ea04d631234e64f01f69\",0,\"number_theory_19181\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000553.lean\",\"ceebbadb3af24c6b1be10fb9e77b39ab60878ab56b845468527af0b89fa2a25e\",0,\"algebra_19188\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000554.lean\",\"5d44f5269caa8218eee4ef1be16c01fbf983d4f6ff3cc1d2cb1c78b5c82bf2a0\",0,\"algebra_19195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245852,
+      "path": "data/train/p83/numina-000110-0000-dd5cffcdc0af5d64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "dd5cffcdc0af5d6405fafffad1acdada44691cea764af3d1a161f4d552fb022a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000111.json b/manifests/batches/numina/000111.json
index 67acec77f9f0369de8c289f7d92bf0cb7e480333..28b7420f4ec40b2818d3ab258865bb09ad5ae1ba 100644
--- a/manifests/batches/numina/000111.json
+++ b/manifests/batches/numina/000111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000111",
   "batch_fingerprint": "fd610d55902c1cbad13fa8ad1b0a4e6bf3f1b7be30fe40741b15023e47e03b1b",
   "evidence": {
@@ -23,22 +22,7 @@
     "transitions": 19,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000111-0000-ba807a459234b244.parquet",
-      "sha256": "ba807a459234b24459e2902238f63094c7cb327d273a6c0a078cef85849800e8",
-      "bytes": 128453,
-      "rows": 14,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000111-0000-4a30d26f7d424761.parquet",
-      "sha256": "4a30d26f7d42476163836b8e1f5b85c2887b416946984c6a8f9677b78185ad87",
-      "bytes": 89248,
-      "rows": 5,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23a57a34-f340-5a9f-94cd-fc2b4f99e44b",
     "numina:33ac91c2-3c8e-5371-b5a4-824ad9c53b0c",
@@ -52,5 +36,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000557.lean\",\"d295a4de51b36213e39788f2462e498dba7e34635129bd201aed5e524ddbf102\",0,\"algebra_19256\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000558.lean\",\"ad3896fd4e25a34a568728bed0ac4d2e1aae8b2d4daab5b1413bb0968a93aabb\",0,\"algebra_19259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000559.lean\",\"f4c9a21a47ae4b33e30c02b1063ddf50cf78ef38d12414f1bfc75784b6fd91a7\",0,\"number_theory_19291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128453,
+      "path": "data/train/p11/numina-000111-0000-ba807a459234b244.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ba807a459234b24459e2902238f63094c7cb327d273a6c0a078cef85849800e8"
+    },
+    {
+      "bytes": 89248,
+      "path": "data/internal_test/p11/numina-000111-0000-4a30d26f7d424761.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4a30d26f7d42476163836b8e1f5b85c2887b416946984c6a8f9677b78185ad87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000112.json b/manifests/batches/numina/000112.json
index 4c40ce05823ea878e572d0b655bf89afad1853cc..83d5abfa647168fe0b992862e2ef6a9303d89976 100644
--- a/manifests/batches/numina/000112.json
+++ b/manifests/batches/numina/000112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000112",
   "batch_fingerprint": "1fc5cb4dc2bd539866efce6bcaed31d419fe6569296dc9d3d076af59931adcbc",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 16,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000112-0000-1ab3de5e82eae6c9.parquet",
-      "sha256": "1ab3de5e82eae6c94bf26216ab2724fe1a13fb127338e457fae4d5014ba544f6",
-      "bytes": 114775,
-      "rows": 16,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:188ad52e-60bf-5752-bbfc-6e8ab1b1648f",
     "numina:1d2afafb-a386-5f0a-8205-a40aaa835bd9",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000562.lean\",\"9e015aac24fde078872ec4097c7df331be7c84f61b735e68c7b597995ea8ce81\",0,\"number_theory_19314\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000563.lean\",\"d3a256c4e2795f07100de6f9b3b37a1ce89e03b62812a2f698219f53ec00a36a\",0,\"algebra_19316\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000564.lean\",\"777b6c291e4386fef93c4902637d6087e578349e8d6bc34438f9045ea0aaff13\",0,\"algebra_19334\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114775,
+      "path": "data/train/p9e/numina-000112-0000-1ab3de5e82eae6c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "1ab3de5e82eae6c94bf26216ab2724fe1a13fb127338e457fae4d5014ba544f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000113.json b/manifests/batches/numina/000113.json
index 6b3d568483f809a5b586a44a78b581dcb1f0ae9e..b95ef25ec35a75240d40131b51a296aff90c12c3 100644
--- a/manifests/batches/numina/000113.json
+++ b/manifests/batches/numina/000113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000113",
   "batch_fingerprint": "b1e704a3ee1a4c3ed76ff7739964d1eacbc4827c05825597eed90aef9908737e",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 25,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000113-0000-9c63240ff10f9fa0.parquet",
-      "sha256": "9c63240ff10f9fa0418847abce2f55e4e03f2213440533e56a9ac99925728afd",
-      "bytes": 69069,
-      "rows": 15,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/dev/numina-000113-0000-ff5c1c10fec61529.parquet",
-      "sha256": "ff5c1c10fec61529cdbf69609a024199f4801b1c1522df053433b7bbe63577a6",
-      "bytes": 29401,
-      "rows": 3,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000113-0000-cd7d9a3d190beb5a.parquet",
-      "sha256": "cd7d9a3d190beb5a2ce643a31060d251fdb05f390ff27706c7ddd81448c90689",
-      "bytes": 53015,
-      "rows": 7,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07fa1c4f-c115-5d82-9eed-2254d9d19c44",
     "numina:646f8db8-ab1c-523a-bd37-d7a45c12f374",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000567.lean\",\"070d39f58ee25f5654c9ba34b66feff9596299dbf2fd2458f11c5bbc40b4ceec\",0,\"algebra_19378\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000568.lean\",\"7014db1e9b078a998d26d021fb12c47fa6c8e36b0b8ebf562dbeea9d264d717b\",0,\"algebra_19385\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000569.lean\",\"f4e5b2edc889eebf337ab1abe37d7a66a959675b08e1f6d54d595c1dc1bbf516\",0,\"algebra_19418\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69069,
+      "path": "data/train/pf4/numina-000113-0000-9c63240ff10f9fa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9c63240ff10f9fa0418847abce2f55e4e03f2213440533e56a9ac99925728afd"
+    },
+    {
+      "bytes": 29401,
+      "path": "data/dev/pf4/numina-000113-0000-ff5c1c10fec61529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ff5c1c10fec61529cdbf69609a024199f4801b1c1522df053433b7bbe63577a6"
+    },
+    {
+      "bytes": 53015,
+      "path": "data/internal_test/pf4/numina-000113-0000-cd7d9a3d190beb5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cd7d9a3d190beb5a2ce643a31060d251fdb05f390ff27706c7ddd81448c90689"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000114.json b/manifests/batches/numina/000114.json
index e3a8ca1a1a58df371750ce8419c772fba11f7619..0c5e07958b366c2e7a4e2f960cdf29c91c0ac0bd 100644
--- a/manifests/batches/numina/000114.json
+++ b/manifests/batches/numina/000114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000114",
   "batch_fingerprint": "3c53588f05fd89c8099f0091079ab16dea5a823c1b6b325637bd37a3735ef715",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 12,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000114-0000-34625cf08c5ae734.parquet",
-      "sha256": "34625cf08c5ae734e9bb1a11b51a07f1909a089c200825c61f7d6675bd396483",
-      "bytes": 69162,
-      "rows": 12,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d75223a-e303-505a-b887-63927b66584b",
     "numina:7e82fe9d-1baa-522c-918e-e1e8dcf4a14b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000572.lean\",\"2b29f40d2a51587196043446b099ac0065d79f2bc94b3a654c96635b9ba76043\",0,\"algebra_19473\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000573.lean\",\"f830b67f3ab3cbc022197d3c8128e207ffd24aed8b3dc5758cc90d2092a4c861\",0,\"algebra_19476\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000574.lean\",\"7bba2fcbf093ad8f5f3c2f1a9d3579d94555e3b7071e2bc7568e22629aad0a62\",0,\"number_theory_19502\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69162,
+      "path": "data/train/p0f/numina-000114-0000-34625cf08c5ae734.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "34625cf08c5ae734e9bb1a11b51a07f1909a089c200825c61f7d6675bd396483"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000115.json b/manifests/batches/numina/000115.json
index e9fc58ea10cc3a485bd6335eb7682e8724eb66aa..83d29eab05cc9fd571cd09ba6ecd498a456fc068 100644
--- a/manifests/batches/numina/000115.json
+++ b/manifests/batches/numina/000115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000115",
   "batch_fingerprint": "473e62177eadc843fd6e39c6f4d1be11ed6abbccad5fef59023c1aeac5a1571b",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 26,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000115-0000-56c47cc4fc4aa83c.parquet",
-      "sha256": "56c47cc4fc4aa83c763558e685925ada2e3697cf906f403867941d3a355fd2b0",
-      "bytes": 123068,
-      "rows": 13,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/dev/numina-000115-0000-cc204353f0a2a925.parquet",
-      "sha256": "cc204353f0a2a925da2f7bf711d1e128e99a4bc61e0f234e37515fa3ac7d565c",
-      "bytes": 68872,
-      "rows": 6,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000115-0000-b1b069e108e61e33.parquet",
-      "sha256": "b1b069e108e61e33b58f0de68f660c7045ff43483800e4f05a04aa0ff631299d",
-      "bytes": 106384,
-      "rows": 7,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ead03bd-f819-547f-8d16-cdd1bc0a712c",
     "numina:2df51cf3-4560-5d4f-b0fe-3b7fab252bf2",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000577.lean\",\"65b25b91184302ddf31b911477b63d5fa0f40130f83685ffde9f39a2e092abf3\",0,\"algebra_19566\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000578.lean\",\"1c23953fb998023e7d4d571881ab8eb5e32a6c1482a7bdf9f1d90fc842e4dc8f\",0,\"number_theory_19577\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000579.lean\",\"a76c2e0d9cd19811b497e302190683eebea49ce7150effc527cb25c0551c835b\",0,\"algebra_19582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123068,
+      "path": "data/train/pd8/numina-000115-0000-56c47cc4fc4aa83c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "56c47cc4fc4aa83c763558e685925ada2e3697cf906f403867941d3a355fd2b0"
+    },
+    {
+      "bytes": 68872,
+      "path": "data/dev/pd8/numina-000115-0000-cc204353f0a2a925.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cc204353f0a2a925da2f7bf711d1e128e99a4bc61e0f234e37515fa3ac7d565c"
+    },
+    {
+      "bytes": 106384,
+      "path": "data/internal_test/pd8/numina-000115-0000-b1b069e108e61e33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b1b069e108e61e33b58f0de68f660c7045ff43483800e4f05a04aa0ff631299d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000116.json b/manifests/batches/numina/000116.json
index 663803a98c40446fbd25c1a84e453bb27f6e9acb..063252fd4c9df2b57e65d01ed912bbb0fcb3fa86 100644
--- a/manifests/batches/numina/000116.json
+++ b/manifests/batches/numina/000116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000116",
   "batch_fingerprint": "4ab275dbaaab90173536a7f28c0adb171c3e1277a530fdc9ad7747f6ed5a5701",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000116-0000-84ba5d27b00e388d.parquet",
-      "sha256": "84ba5d27b00e388d8589b59a1b52093ae1ff88af23d5a510a9c2fd6172a99796",
-      "bytes": 137716,
-      "rows": 27,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000116-0000-ebd89ed69a590ec5.parquet",
-      "sha256": "ebd89ed69a590ec556aee3e078462efc0a2561f462d1ef44e8cf7a8383e80e90",
-      "bytes": 26846,
-      "rows": 2,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d757e81-75ef-5862-80cc-8f2e3240f127",
     "numina:1dd9b9c3-f785-5f15-9d6b-8f95e8431f5d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000582.lean\",\"e4558dcae54758757308d51aa09330749085cc76f0405d04157d0519e6b13ccb\",0,\"number_theory_19596\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000583.lean\",\"da92c3f70ba833f0fbd358a04513c5d897f42ff78e78c45f90b8de427caf142e\",0,\"number_theory_19601\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000584.lean\",\"de5adec61e92a27b88bd3877e5bd484a90a0cff9c2941b0439e64b5a0b164339\",0,\"number_theory_19618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137716,
+      "path": "data/train/p46/numina-000116-0000-84ba5d27b00e388d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "84ba5d27b00e388d8589b59a1b52093ae1ff88af23d5a510a9c2fd6172a99796"
+    },
+    {
+      "bytes": 26846,
+      "path": "data/internal_test/p46/numina-000116-0000-ebd89ed69a590ec5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ebd89ed69a590ec556aee3e078462efc0a2561f462d1ef44e8cf7a8383e80e90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000117.json b/manifests/batches/numina/000117.json
index f6023ba018a1d87578d6c161541375104832df61..3cca72992f8b463ef765c32ac57eb75f85f6e99f 100644
--- a/manifests/batches/numina/000117.json
+++ b/manifests/batches/numina/000117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000117",
   "batch_fingerprint": "8ba0c003ced66d64c318f458d95b6b1240a9fbfebae13608e3ee3361e55eb658",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000117-0000-6b9bd7e47261c26a.parquet",
-      "sha256": "6b9bd7e47261c26ad27985c511e92fd2a99e2b5962132ac99d54bdfde1a34fbf",
-      "bytes": 163706,
-      "rows": 31,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e1047d0-4173-5a0f-a89d-98e0e3624808",
     "numina:5af70549-622d-58b1-a17e-a447ed11b9c7",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000587.lean\",\"6720f338c87cdc71caf46be062e688fabba23286ae2febb9477b32592958ae3e\",0,\"algebra_19665\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000588.lean\",\"9fa43078613e940a388152640824a3b645120630c28669a4ca3be5172075e5ec\",0,\"algebra_19681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000589.lean\",\"4504c9fd51ea50d0d72ebc3ea2826d34b7522e1c290c5b6ab7009dfcfecdf1be\",0,\"algebra_19686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163706,
+      "path": "data/train/pa5/numina-000117-0000-6b9bd7e47261c26a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6b9bd7e47261c26ad27985c511e92fd2a99e2b5962132ac99d54bdfde1a34fbf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000118.json b/manifests/batches/numina/000118.json
index c2a9f0c984d5757aacc72a612cb0b8566f6a5402..66cd6a801736bacb9f550fdba58eced5bb46418f 100644
--- a/manifests/batches/numina/000118.json
+++ b/manifests/batches/numina/000118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000118",
   "batch_fingerprint": "a81d533d1c1e2fd22b7f0101ebe640eae8c8bdfd454112c19bf71a1facf66708",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000118-0000-153caf867723c69a.parquet",
-      "sha256": "153caf867723c69ab6047f05abc88a19e15e91dabef415cde8211fceaa85e021",
-      "bytes": 175887,
-      "rows": 28,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    },
-    {
-      "path": "data/internal_test/numina-000118-0000-eacb512df6c7e8f9.parquet",
-      "sha256": "eacb512df6c7e8f9e52fe46390d83dbe80cd4d099af0b718263f6207294698ae",
-      "bytes": 61715,
-      "rows": 8,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07768c37-1a29-5726-9332-1948a93c670c",
     "numina:0d2bcdcd-a003-55ec-b463-99a9cfb9460c",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000592.lean\",\"565210dfbf80342b4f0c9b3dc30849e6d01150f39564f994e2020ea3d8e26e9c\",0,\"algebra_19713\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000593.lean\",\"4f04a45432584a6e1b6b2bc4abedb89f172a9b3ff07b3a6e96f56b9c8a14e42f\",0,\"algebra_19773\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000594.lean\",\"2989870406e162fbfdc9383e7319effea76c4506b3c6700d4ce6da4efc8cb95a\",0,\"algebra_19774\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175887,
+      "path": "data/train/pcf/numina-000118-0000-153caf867723c69a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "153caf867723c69ab6047f05abc88a19e15e91dabef415cde8211fceaa85e021"
+    },
+    {
+      "bytes": 61715,
+      "path": "data/internal_test/pcf/numina-000118-0000-eacb512df6c7e8f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eacb512df6c7e8f9e52fe46390d83dbe80cd4d099af0b718263f6207294698ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000119.json b/manifests/batches/numina/000119.json
index e04862789fd010f79584b7bf3387269dd2dd5033..33f2b0d13f84347dda0313c57f4940699fa89de7 100644
--- a/manifests/batches/numina/000119.json
+++ b/manifests/batches/numina/000119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000119",
   "batch_fingerprint": "f39e742b969461862834f096935357669bfd31e52d127f0946569defbfac3a27",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 14,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000119-0000-1a85ee0bc287be4a.parquet",
-      "sha256": "1a85ee0bc287be4a6031b41d0af6af4b2a306a8a92d31b47cd3728bda9e53f86",
-      "bytes": 122020,
-      "rows": 14,
-      "revision": "5dc1a56c393231e8f9894552a6c559f470ee7419"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:032c9f5c-9a41-5d0e-a0f4-34a3045fbef1",
     "numina:4864eb09-06ba-59e9-885e-a7dc1d78151d",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000597.lean\",\"78670716a1a744d8aa8d0ddc5398e2d35662a4be6688f30618510bd366a413f0\",0,\"algebra_19809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000598.lean\",\"19959f2080f55698a749c4b6f6e377342dbef3841658606c8b067f9164b43729\",0,\"algebra_19845\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000599.lean\",\"652fa384acc199adbf7f736d6616a2005e0b9eb18931841201e6c7a1fd59e81f\",0,\"algebra_19848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122020,
+      "path": "data/train/pc0/numina-000119-0000-1a85ee0bc287be4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1a85ee0bc287be4a6031b41d0af6af4b2a306a8a92d31b47cd3728bda9e53f86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000120.json b/manifests/batches/numina/000120.json
index e54c3be6a122f5c3a63f6556263058e4aa00a525..99a31132da53796dd6504c7e4cd7f48f09638c70 100644
--- a/manifests/batches/numina/000120.json
+++ b/manifests/batches/numina/000120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000120",
   "batch_fingerprint": "ff269a6e8a861b46e8c90a792b035ee07e7c6fdee1af0b836417921c00df3a91",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000120-0000-4bbe386e5920893d.parquet",
-      "sha256": "4bbe386e5920893ddcda8f94c16ae7379d2a82f000c1aadb6f6dbc7cd9b9f772",
-      "bytes": 205679,
-      "rows": 19,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000120-0000-9dfa3daa53bdd5da.parquet",
-      "sha256": "9dfa3daa53bdd5da90753e0528c9b5e273d80ab6107e885a8e6e2715d01f33a4",
-      "bytes": 38607,
-      "rows": 5,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a5e2da7-e623-5ef0-90c9-dcface15f78d",
     "numina:64cd460a-26c2-5da7-b624-7d5d247de20b",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000602.lean\",\"ddec575e232002525e37ab4830b9ee9db81f32c0f084ec784b1dc28c257c81f1\",0,\"algebra_19904\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000603.lean\",\"5695959e3f5ffb6ba35e37ab054e20736a48704afaff35b5b556bbfc2c325ef7\",0,\"algebra_19926\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000604.lean\",\"b1f56c17166de33f052046fdd4929a2944db3e24da5b22161236a0b6f36aa6c8\",0,\"algebra_19934\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205679,
+      "path": "data/train/pa7/numina-000120-0000-4bbe386e5920893d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4bbe386e5920893ddcda8f94c16ae7379d2a82f000c1aadb6f6dbc7cd9b9f772"
+    },
+    {
+      "bytes": 38607,
+      "path": "data/internal_test/pa7/numina-000120-0000-9dfa3daa53bdd5da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9dfa3daa53bdd5da90753e0528c9b5e273d80ab6107e885a8e6e2715d01f33a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000121.json b/manifests/batches/numina/000121.json
index dd147001b5c0e033ac8c8060818ba416d20fcf2f..d5d96018774bef6250d4716922b42007e3923229 100644
--- a/manifests/batches/numina/000121.json
+++ b/manifests/batches/numina/000121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000121",
   "batch_fingerprint": "1b807d45f1119f6c82040c60f026328b769e47039dce18a0bc86c5c5a28d1b3e",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 20,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000121-0000-40ea729b8a20a8cd.parquet",
-      "sha256": "40ea729b8a20a8cd1a974f15f1e0386b8f91c2bfe1d8e8a9fc4f83bd9b5c21a6",
-      "bytes": 66600,
-      "rows": 20,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6db019b1-708c-5ef4-a860-bad9b71a4807",
     "numina:702c2a75-0942-5d50-acdb-bd1d6e0d81b7",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000607.lean\",\"a984e78c21f1ae6d4531ad088b68a66600239558ec851d74434612bc512d9e78\",0,\"algebra_19956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000608.lean\",\"177be554cf3c834f0cb4c0b8a73080b9bbcaee4e0f70acc442658464d333924b\",0,\"algebra_19972\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000609.lean\",\"3ceffeb1422ff078b6d2e35e83a6b803f8e8432473125a3860d1a3caba346e5d\",0,\"algebra_19988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66600,
+      "path": "data/train/p57/numina-000121-0000-40ea729b8a20a8cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "40ea729b8a20a8cd1a974f15f1e0386b8f91c2bfe1d8e8a9fc4f83bd9b5c21a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000122.json b/manifests/batches/numina/000122.json
index a343892ccdc36889225041d00dafaa4b281d3a55..919d70dbd20699fa8c883fef25fe7b61eec99d32 100644
--- a/manifests/batches/numina/000122.json
+++ b/manifests/batches/numina/000122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000122",
   "batch_fingerprint": "a4a9bd5ed9d29f015abecfcdf32d7ddca0a4963a37b9dad96682e190d3951013",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 13,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000122-0000-cad128e3d478a1c6.parquet",
-      "sha256": "cad128e3d478a1c609eba6a0fb65aa6fd654a33a23357d65b32e7a8e668c8ef9",
-      "bytes": 49282,
-      "rows": 9,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/dev/numina-000122-0000-fc3a7ae97dc511e4.parquet",
-      "sha256": "fc3a7ae97dc511e49366bf318629799993334f3a8bf6b39cb671635b571b53e2",
-      "bytes": 30379,
-      "rows": 1,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000122-0000-c538825335126322.parquet",
-      "sha256": "c538825335126322c49d06af50f8942f2a18238f9a367b34101d56e52d5f6b64",
-      "bytes": 38541,
-      "rows": 3,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:356f7708-14a6-5589-aa47-8f9d048e6027",
     "numina:6f0de04e-6d6c-554e-a149-de807274cc83",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000612.lean\",\"0daf705b6b55ae3e59b5378e5e1bbc1fb95421c038892dca708fa7b42fad53f0\",0,\"algebra_20004\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000613.lean\",\"46a224c80296fd41f67938fa5333baacf24280e0ec6a2a77ef01ad4b28234a3b\",0,\"algebra_20028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000614.lean\",\"e529fe83e2882d0aab81e6883fbbf720ca72a9fabbf00c0ad77b78ffc9543fcd\",0,\"algebra_20051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49282,
+      "path": "data/train/pe0/numina-000122-0000-cad128e3d478a1c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cad128e3d478a1c609eba6a0fb65aa6fd654a33a23357d65b32e7a8e668c8ef9"
+    },
+    {
+      "bytes": 30379,
+      "path": "data/dev/pe0/numina-000122-0000-fc3a7ae97dc511e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fc3a7ae97dc511e49366bf318629799993334f3a8bf6b39cb671635b571b53e2"
+    },
+    {
+      "bytes": 38541,
+      "path": "data/internal_test/pe0/numina-000122-0000-c538825335126322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c538825335126322c49d06af50f8942f2a18238f9a367b34101d56e52d5f6b64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000123.json b/manifests/batches/numina/000123.json
index 618fe05396bb53c15a44b5a59229e505c5b59184..b8d31a550d040c4f5e9f35db1130f7c2def8dd1b 100644
--- a/manifests/batches/numina/000123.json
+++ b/manifests/batches/numina/000123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000123",
   "batch_fingerprint": "13c740b10ab77316a7275e9dc8c3d4dd33eb7243a249dc1123e48c3b1b6ac2e6",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000123-0000-0f630f1c4e516e72.parquet",
-      "sha256": "0f630f1c4e516e72e8de2662c40f7d8f4cbad0b4dbc37b4e7839967f06aa137e",
-      "bytes": 161477,
-      "rows": 25,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/dev/numina-000123-0000-6a672376bd1fd918.parquet",
-      "sha256": "6a672376bd1fd918af573cad9dddd04fa5829b1df9463da280237656e6bab1e8",
-      "bytes": 91411,
-      "rows": 4,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07514e4e-b33a-598d-9069-9ab7fa83a866",
     "numina:1efdf825-357c-5f51-8e28-2657ad1747c4",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000617.lean\",\"86ef4737cf6e7cf66c16a56f2420168142c73c4034fe90c3e368592745b23fae\",0,\"algebra_20086\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000618.lean\",\"d095aba3b23c27c5e0ab4ff80e5102c77f879d675925974240de2c4d1c114a44\",0,\"algebra_20088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000619.lean\",\"e3733ab043f0e6aaa2083c0c61d657b561bf2f7e9472e2eea0a040621ce3fcbd\",0,\"algebra_20090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161477,
+      "path": "data/train/pb5/numina-000123-0000-0f630f1c4e516e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0f630f1c4e516e72e8de2662c40f7d8f4cbad0b4dbc37b4e7839967f06aa137e"
+    },
+    {
+      "bytes": 91411,
+      "path": "data/dev/pb5/numina-000123-0000-6a672376bd1fd918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a672376bd1fd918af573cad9dddd04fa5829b1df9463da280237656e6bab1e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000124.json b/manifests/batches/numina/000124.json
index fc40d64c23588b7b7db587fc52c9bd19cef9d659..93f71ba12d3bc3a1b44f76feaedd1d4a1eab57fc 100644
--- a/manifests/batches/numina/000124.json
+++ b/manifests/batches/numina/000124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000124",
   "batch_fingerprint": "e72edb3839fde73b62258daecbd080d7a39d27313e8f13bf915f4e4964bfcef9",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000124-0000-80c83094ff4ffd62.parquet",
-      "sha256": "80c83094ff4ffd62d76a1fcfaa33208884247d613134b703035f07dab4ac7d0b",
-      "bytes": 88148,
-      "rows": 13,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/dev/numina-000124-0000-11c6f753c1f8a6cc.parquet",
-      "sha256": "11c6f753c1f8a6cc06b632d2f6eb4554b452a24adf53743deda27e073c5046d0",
-      "bytes": 106862,
-      "rows": 9,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0190cd82-ea5c-520c-b4b6-d7027795281f",
     "numina:622c4a16-b954-57dc-9e3e-41718ce36b21",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000622.lean\",\"c78a2f9c98e0c613b28e52d7f7a2550fb61aaf64a5aa505411ba3a0ba25e976d\",0,\"algebra_20127\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000623.lean\",\"671a6b570d96c5a36c2cbd6f1084dae63766a3129a61dbd6e573ddb3ad829a77\",0,\"algebra_20157\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000624.lean\",\"2611be7773abee1c641efaa0cb7b4ca316d69f95b48d08ed719bf3edff727545\",0,\"algebra_20175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88148,
+      "path": "data/train/paf/numina-000124-0000-80c83094ff4ffd62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "80c83094ff4ffd62d76a1fcfaa33208884247d613134b703035f07dab4ac7d0b"
+    },
+    {
+      "bytes": 106862,
+      "path": "data/dev/paf/numina-000124-0000-11c6f753c1f8a6cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "11c6f753c1f8a6cc06b632d2f6eb4554b452a24adf53743deda27e073c5046d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000125.json b/manifests/batches/numina/000125.json
index 5a02b2baa627e76ac3ee35d5905747e688f87c2d..a10374f813a77445ae2cdccbed897fc8359c8f36 100644
--- a/manifests/batches/numina/000125.json
+++ b/manifests/batches/numina/000125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000125",
   "batch_fingerprint": "fea946b71afd1fe7892c3235c10d3e4463d114c90505567a40542f88fddb1311",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 15,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000125-0000-d48123d01fa68caa.parquet",
-      "sha256": "d48123d01fa68caaf5a7c03f93f84158e1b33424707bb7c13f60bd805e84370a",
-      "bytes": 74902,
-      "rows": 15,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:108e9256-6663-5dcb-988b-8602a758d907",
     "numina:7e65d3ae-df45-5ae7-9bc5-83b85617bdc5",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000627.lean\",\"288fc28f718e4a1acf222956abb22ed835ef4583339f68df3af3f5ba8f33fa59\",0,\"algebra_20231\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000628.lean\",\"b1c889e9f38b92bad59a0b25194376e1aa27e4d35a95c39d04cc73a5b87bd16d\",0,\"algebra_20237\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000629.lean\",\"47392ed5f740db7953ffd5b2a81240af17f918e5d9472d867cc8f8b91f9783ca\",0,\"algebra_20243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74902,
+      "path": "data/train/pc9/numina-000125-0000-d48123d01fa68caa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d48123d01fa68caaf5a7c03f93f84158e1b33424707bb7c13f60bd805e84370a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000126.json b/manifests/batches/numina/000126.json
index ed7333b129d068f36c88d5c8c5ea706302019394..5bf54610d9df70b2807ad952f7f51c351e90cf5d 100644
--- a/manifests/batches/numina/000126.json
+++ b/manifests/batches/numina/000126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000126",
   "batch_fingerprint": "3bbc5e2f5b414cac09a59db086a291e7596c3fff4e99c3ecf187351a062b4f80",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 62,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000126-0000-93ccc6880bbca4a9.parquet",
-      "sha256": "93ccc6880bbca4a9484b67c4ca41710f0c2d84bfbf3516a25728d35cd0aedc23",
-      "bytes": 310918,
-      "rows": 44,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000126-0000-d686ca017ae11c21.parquet",
-      "sha256": "d686ca017ae11c21c5a79ab4a84cb21eb0f6e8855a3e22c186bb5878e310ba7b",
-      "bytes": 156486,
-      "rows": 18,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1355ae66-b3e2-5cdd-a50c-74e4ca4e4305",
     "numina:14a2b3ad-7cda-5963-8055-b72bd08b88b7",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000632.lean\",\"307ef0430982bed3001ccdc424b9bc9541c18ac14e8c18d33b2378dd163e11b1\",0,\"algebra_20268\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000633.lean\",\"0e3db16fe882109f6bdb59e6ac87dfe1553fdcd0b4b9892f700544f380a0c666\",0,\"algebra_20271\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000634.lean\",\"754484982e9193da97b276b57fc3a47f59a79179ad145560de4bf90174728444\",0,\"algebra_20281\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310918,
+      "path": "data/train/p09/numina-000126-0000-93ccc6880bbca4a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "93ccc6880bbca4a9484b67c4ca41710f0c2d84bfbf3516a25728d35cd0aedc23"
+    },
+    {
+      "bytes": 156486,
+      "path": "data/internal_test/p09/numina-000126-0000-d686ca017ae11c21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d686ca017ae11c21c5a79ab4a84cb21eb0f6e8855a3e22c186bb5878e310ba7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000127.json b/manifests/batches/numina/000127.json
index 0f78c6071f41ec3b51afdd7d29376a1ea9c9b0f8..af74623f42c74fe1304221b2aa711a3963e6630b 100644
--- a/manifests/batches/numina/000127.json
+++ b/manifests/batches/numina/000127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000127",
   "batch_fingerprint": "9864eaf760a566b7b34bf69c80685e8ef9dd9e985defd7963c60cceeaa528672",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000127-0000-7e29f0ce17777c79.parquet",
-      "sha256": "7e29f0ce17777c792597c3099921f4657fcc18ccb4a8c83d5f1a5f9a75610661",
-      "bytes": 521902,
-      "rows": 31,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f4472f2-f9cf-59ec-85e5-f71f4b2b8624",
     "numina:3ea11fa4-a7be-559d-8c60-ac1f4e63a624",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000637.lean\",\"4790eeab990442cf415bbc9b937d2e233e7776d3fe926b093bcc2825b5d1c7ac\",0,\"algebra_20326\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000638.lean\",\"a2e28ec0ed28403f4b07f896310c65058e378c465502ee58d4c6befeee9b4447\",0,\"algebra_20331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000639.lean\",\"1d39d1786c5a9743f81a0c80c936e2660a6d1a14cec36127a2c966bec56f1681\",0,\"algebra_20336\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521902,
+      "path": "data/train/p2d/numina-000127-0000-7e29f0ce17777c79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7e29f0ce17777c792597c3099921f4657fcc18ccb4a8c83d5f1a5f9a75610661"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000128.json b/manifests/batches/numina/000128.json
index 8e8285d8403154fc5680bd0e559508022be9423f..dd9289ff9587abf41230f14c06ff4abcc52d4f5b 100644
--- a/manifests/batches/numina/000128.json
+++ b/manifests/batches/numina/000128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000128",
   "batch_fingerprint": "28f4d3dff7e4505daea2ddb383f802069e9bfdd3f81629eb4685f1faed8e560c",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 18,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000128-0000-da72a3baa4c064b6.parquet",
-      "sha256": "da72a3baa4c064b6c090fde06f60dd3b2f63610e98168642028ec3e7581834f8",
-      "bytes": 63916,
-      "rows": 13,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000128-0000-fb847e0838105291.parquet",
-      "sha256": "fb847e0838105291d1036f74b0e89beed5c4050e26b0f2ae00168291a1617e0c",
-      "bytes": 35414,
-      "rows": 5,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01a49d64-99a0-5d4c-8384-576fa35057c5",
     "numina:23eceee8-87fa-5d8d-a947-87c79341d9db",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000642.lean\",\"53e75d8b5e04946a33a4bd50e2a564132e9d46a784e515b6759582b25784e4d8\",0,\"algebra_20348\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000643.lean\",\"db72f536ec3a6ab2d8d4f6c11e951ec86c3ffd590d17f5b1c5b8d4e6c25af04d\",0,\"algebra_20371\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000644.lean\",\"998dc5e02daedb144fd83a61778f5756c247a4007d331de909cdba6530b35b25\",0,\"algebra_20372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63916,
+      "path": "data/train/p6a/numina-000128-0000-da72a3baa4c064b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "da72a3baa4c064b6c090fde06f60dd3b2f63610e98168642028ec3e7581834f8"
+    },
+    {
+      "bytes": 35414,
+      "path": "data/internal_test/p6a/numina-000128-0000-fb847e0838105291.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fb847e0838105291d1036f74b0e89beed5c4050e26b0f2ae00168291a1617e0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000129.json b/manifests/batches/numina/000129.json
index 0c7d825d8f5e62233faf719afad294079fc2c401..43af11a2c520dc3dc2b65b53026f8cce0ce0f169 100644
--- a/manifests/batches/numina/000129.json
+++ b/manifests/batches/numina/000129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000129",
   "batch_fingerprint": "e34bdb30d252d65f4883ef170957e32315f525e5dbcdae9f0cc9ced5626b81c7",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 20,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000129-0000-d2afffe9fa220b2a.parquet",
-      "sha256": "d2afffe9fa220b2a6c9b2ef51e82dbb2cab5a13db7dce88583457123993b6ddc",
-      "bytes": 125329,
-      "rows": 20,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23bdecad-b0d3-51d4-810b-cd757f33bc58",
     "numina:2ad6e2c7-fc8e-5952-8ef6-8d6af6245904",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000647.lean\",\"ede7594dd0c59fc4349ddb85c021d2bd590987b22906bbdb6d3bd4f553e78eec\",0,\"algebra_20391\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000648.lean\",\"fe0f7c8d33d11dcff6d14fb10d8ce94999569867823ab180a7a894ac47f8016b\",0,\"algebra_20393\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000649.lean\",\"bbaeca8b75cf80bfad18497e845abf08347ec11f1a24a0a440365443bc3d2c0b\",0,\"algebra_20394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125329,
+      "path": "data/train/p11/numina-000129-0000-d2afffe9fa220b2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d2afffe9fa220b2a6c9b2ef51e82dbb2cab5a13db7dce88583457123993b6ddc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000130.json b/manifests/batches/numina/000130.json
index b80807d39c5ccae86cb1368b213459e9fc1e9d39..480aeee147d8bfb5f23322342a04e4b6b3a9fa21 100644
--- a/manifests/batches/numina/000130.json
+++ b/manifests/batches/numina/000130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000130",
   "batch_fingerprint": "cf22c46dad6cfe4270fed94723639b327c1c38e0629e2fd7d3451d602df5b934",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000130-0000-581baef2997ccf64.parquet",
-      "sha256": "581baef2997ccf64d8cac3af9d15ae56fdeaf7262b4549e6aa2fadc9f4f5639d",
-      "bytes": 71335,
-      "rows": 17,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000130-0000-ab5da631e761286f.parquet",
-      "sha256": "ab5da631e761286fa8c8978abb5a5747568decd8fe585c806c008778ccb02e59",
-      "bytes": 89214,
-      "rows": 14,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41e3748d-7bf4-5c58-bc1e-2431a243b685",
     "numina:7f5014b6-a103-533a-b2b6-01fc8962511d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000652.lean\",\"9db7f168ebf0d053b4ca18b65dd0b3b32636a79f27592f0dcd49bbaeed291b1c\",0,\"algebra_20412\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000653.lean\",\"10d5bce3f053e6e4c405f1d206215a5b1a2ca2b6f533f8821a8d3840f68ee19f\",0,\"algebra_20429\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000654.lean\",\"05c907b6e0e8ce55db8f8f7c75631eb4620edd0ae4da4f485c39d29623816cdb\",0,\"algebra_20430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71335,
+      "path": "data/train/p9b/numina-000130-0000-581baef2997ccf64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "581baef2997ccf64d8cac3af9d15ae56fdeaf7262b4549e6aa2fadc9f4f5639d"
+    },
+    {
+      "bytes": 89214,
+      "path": "data/internal_test/p9b/numina-000130-0000-ab5da631e761286f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ab5da631e761286fa8c8978abb5a5747568decd8fe585c806c008778ccb02e59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000131.json b/manifests/batches/numina/000131.json
index 8d6b23dec5b1493771c66ca6edd25bbbf3925c88..0ac58e430cf091b80cdfabcc438ee697f6288345 100644
--- a/manifests/batches/numina/000131.json
+++ b/manifests/batches/numina/000131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000131",
   "batch_fingerprint": "fbf4dfbd98cfad2eb89618d798cfd825a48303fa0a9b988ffe1ac67de3928172",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000131-0000-1dfa26fb922a7b35.parquet",
-      "sha256": "1dfa26fb922a7b35abc050f0e8e4ca4ff10a087ba46de67e8b67ebdb4bb060d9",
-      "bytes": 105542,
-      "rows": 27,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47b09255-0e33-5274-b798-1b5862b9cc7f",
     "numina:59f183bd-4bb8-5fdf-8a23-cc079b0a6ccd",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000657.lean\",\"b972ff954daf6918297b2925ae0bbe3246c43eee5788100bef86e446b0650430\",0,\"algebra_20478\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000658.lean\",\"a73e7f7d26e8b216b1ccb30978f2447ef53da50cf820115638a3e82c1467ff43\",0,\"algebra_20482\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000659.lean\",\"b94dd49801e540dffda55de6cae0edb127766efa36eacc7b64612b643995faef\",0,\"algebra_20485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105542,
+      "path": "data/train/pe5/numina-000131-0000-1dfa26fb922a7b35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "1dfa26fb922a7b35abc050f0e8e4ca4ff10a087ba46de67e8b67ebdb4bb060d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000132.json b/manifests/batches/numina/000132.json
index db9911430a7a919c4649f8ee96ffa95460285cc4..46fd52beb0ce76865c2209d3c21ded603462ad06 100644
--- a/manifests/batches/numina/000132.json
+++ b/manifests/batches/numina/000132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000132",
   "batch_fingerprint": "a8db787932d5fe78ee443991b506d5b3f1774bfb30d7a7bfcb6b162de40965ca",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 68,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000132-0000-f715e002927828f6.parquet",
-      "sha256": "f715e002927828f6f97abb5effd1035d64d2666ebd069e58f2d16939badb5772",
-      "bytes": 224154,
-      "rows": 47,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000132-0000-57c0e5ac7ababae3.parquet",
-      "sha256": "57c0e5ac7ababae3091744d3e818595d1f538aa51608ec3076521665b4afc52e",
-      "bytes": 103014,
-      "rows": 21,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8de1d1dd-1734-5895-aa07-2990fe338f1f",
     "numina:ec3546ad-d856-5989-bfbf-b01c8a445de0",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000662.lean\",\"0a16ad64d65c9cb68e85fe870ab7f23afdfa258fb58946512af83522b2b170ff\",0,\"algebra_20519\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000663.lean\",\"9670543bb3185df48e7d9a35f4fad9092f9f68a0b5e0d7ce80e20a5cbc9cc32d\",0,\"AIME_Algebra_20549\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000664.lean\",\"ff4ab8204d02fb51267da39366b62396dcb2e731b2ac24a7c81fa03acb1a899d\",0,\"algebra_20569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224154,
+      "path": "data/train/p53/numina-000132-0000-f715e002927828f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f715e002927828f6f97abb5effd1035d64d2666ebd069e58f2d16939badb5772"
+    },
+    {
+      "bytes": 103014,
+      "path": "data/internal_test/p53/numina-000132-0000-57c0e5ac7ababae3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "57c0e5ac7ababae3091744d3e818595d1f538aa51608ec3076521665b4afc52e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000133.json b/manifests/batches/numina/000133.json
index fedf39e8d2b5d808a944597646a695f370363db2..6db52b0c011050fa6ac876a3c97610079a5de3c5 100644
--- a/manifests/batches/numina/000133.json
+++ b/manifests/batches/numina/000133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000133",
   "batch_fingerprint": "80d4122d9c48dcb584d0dc86dba69442219e92681595391e7b561edfecbbefa7",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 50,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:11d7648b-c765-55aa-ab57-8240bf01ebc6",
+    "numina:613cd60d-faee-5676-8770-5df06c229a19",
+    "numina:76b26c58-b407-57ff-847b-05311e909c61",
+    "numina:b3b2ef65-f2ca-5fb9-857d-dad41f49781c",
+    "numina:c00371b6-6c60-5ed2-81d3-b6275d58d3df"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000665.lean\",\"5bb4a855272b0bb61e63d7ce7fca7a579932cff09dcfa85fc0cadf7be48c558f\",0,\"algebra_20575\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000666.lean\",\"cd422b87b510f727c1f3471f6ac34b9828d3af8b436c88a87700bcdeb11364f6\",0,\"algebra_20616\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000667.lean\",\"0ffe73a00833d5e3c5551cda1d3ef51d5625f33c98210b569f4677ed8d1805b5\",0,\"algebra_20626\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000668.lean\",\"2cc071e93e3c46d0f98993b71c600836f1ce40f28cc1db3323c08b19832304e9\",0,\"algebra_20627\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000669.lean\",\"d110b0db96e1bfb21bf76b21bebfed363419d0750bc796cb93a9e9b44508363f\",0,\"algebra_20649\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000133-0000-5e53129560d0592b.parquet",
-      "sha256": "5e53129560d0592bcca3727e9ccf8cf1402976a57ecb54a1c139378ff65b71c7",
       "bytes": 237428,
+      "path": "data/train/p31/numina-000133-0000-5e53129560d0592b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 33,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
+      "sha256": "5e53129560d0592bcca3727e9ccf8cf1402976a57ecb54a1c139378ff65b71c7"
     },
     {
-      "path": "data/train/numina-000133-0001-95769e06631eed05.parquet",
-      "sha256": "95769e06631eed056dc54f48201d98a599a2ea7ca6cfad74a0f4cf93c97daca0",
       "bytes": 977750,
+      "path": "data/train/p31/numina-000133-0001-95769e06631eed05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
+      "sha256": "95769e06631eed056dc54f48201d98a599a2ea7ca6cfad74a0f4cf93c97daca0"
     },
     {
-      "path": "data/train/numina-000133-0002-dab046b12cff037b.parquet",
-      "sha256": "dab046b12cff037b6da1dbc3f9c78e15c6efb224f8d9f7520f50c6d7461244ec",
       "bytes": 92941,
+      "path": "data/train/p31/numina-000133-0002-dab046b12cff037b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
+      "sha256": "dab046b12cff037b6da1dbc3f9c78e15c6efb224f8d9f7520f50c6d7461244ec"
     },
     {
-      "path": "data/dev/numina-000133-0000-3e1686419f32615e.parquet",
-      "sha256": "3e1686419f32615e82747c18930fb35cb7b58b96e5c46664da7a9831701fa732",
       "bytes": 40407,
+      "path": "data/dev/p31/numina-000133-0000-3e1686419f32615e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
+      "sha256": "3e1686419f32615e82747c18930fb35cb7b58b96e5c46664da7a9831701fa732"
     }
-  ],
-  "proof_ids": [
-    "numina:11d7648b-c765-55aa-ab57-8240bf01ebc6",
-    "numina:613cd60d-faee-5676-8770-5df06c229a19",
-    "numina:76b26c58-b407-57ff-847b-05311e909c61",
-    "numina:b3b2ef65-f2ca-5fb9-857d-dad41f49781c",
-    "numina:c00371b6-6c60-5ed2-81d3-b6275d58d3df"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000665.lean\",\"5bb4a855272b0bb61e63d7ce7fca7a579932cff09dcfa85fc0cadf7be48c558f\",0,\"algebra_20575\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000666.lean\",\"cd422b87b510f727c1f3471f6ac34b9828d3af8b436c88a87700bcdeb11364f6\",0,\"algebra_20616\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000667.lean\",\"0ffe73a00833d5e3c5551cda1d3ef51d5625f33c98210b569f4677ed8d1805b5\",0,\"algebra_20626\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000668.lean\",\"2cc071e93e3c46d0f98993b71c600836f1ce40f28cc1db3323c08b19832304e9\",0,\"algebra_20627\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000669.lean\",\"d110b0db96e1bfb21bf76b21bebfed363419d0750bc796cb93a9e9b44508363f\",0,\"algebra_20649\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000134.json b/manifests/batches/numina/000134.json
index eb25cf4119a59edae3ec89da431e138847c7e650..bd73508a285950ff975e7fded0443a04ba210de6 100644
--- a/manifests/batches/numina/000134.json
+++ b/manifests/batches/numina/000134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000134",
   "batch_fingerprint": "19a7d010f59a46e9aca64e778857cef9f9fcdfd081a94f2aa3bd61935fe253e0",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000134-0000-8de6ad9500392173.parquet",
-      "sha256": "8de6ad95003921730eeb836a0d5684251afebc0b2a30a93e18d6ef959bd034be",
-      "bytes": 104070,
-      "rows": 29,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000134-0000-93038003abf54384.parquet",
-      "sha256": "93038003abf543849d96e17a213d02163e0cb32fc9706c8d6a828cd303383110",
-      "bytes": 112545,
-      "rows": 12,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03020640-2cb8-5ea7-bffd-9852d64e03fc",
     "numina:17a5c4b3-98e8-5d3e-ad80-2cdd10e42a77",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000672.lean\",\"387e222a15d6cf84147e5b53f24e48faf21d0c6418aae61cdc42a39f1753eeb9\",0,\"algebra_20675\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000673.lean\",\"6c09e82e43cad79bfc2a196120866bab70057409dc029a1ff7da4c28a3d0979f\",0,\"algebra_20676\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000674.lean\",\"8f9bd40d114938400a778106c35dc2816be0e35116936364b749008ce8359c65\",0,\"algebra_20682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104070,
+      "path": "data/train/p70/numina-000134-0000-8de6ad9500392173.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "8de6ad95003921730eeb836a0d5684251afebc0b2a30a93e18d6ef959bd034be"
+    },
+    {
+      "bytes": 112545,
+      "path": "data/internal_test/p70/numina-000134-0000-93038003abf54384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "93038003abf543849d96e17a213d02163e0cb32fc9706c8d6a828cd303383110"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000135.json b/manifests/batches/numina/000135.json
index 70ae464b6da4e50c3d6f71857fcdbda2bd798d8d..8dd675770933439ffd5a17b8cbbc9b1322da52c1 100644
--- a/manifests/batches/numina/000135.json
+++ b/manifests/batches/numina/000135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000135",
   "batch_fingerprint": "a740dfb2398486707bd8bf60d34e0bcb359ed21c466af7600e0db950b3f38d00",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 30,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000135-0000-f94507ba601c05b1.parquet",
-      "sha256": "f94507ba601c05b1c930c66615640d2e975d8ebd9092e51e15636bd06d5cdc5a",
-      "bytes": 170097,
-      "rows": 24,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000135-0000-b9fad8f497569a4f.parquet",
-      "sha256": "b9fad8f497569a4f5816885a8d41d496fb6f1dfb2e28b975c33c7121efafbd3f",
-      "bytes": 46451,
-      "rows": 6,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00b04543-aa2a-5e44-8f06-d3d02991da71",
     "numina:13c62e42-4ab2-577e-bf70-32ccc11904da",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000677.lean\",\"526863fff51e37475e6cf37fb7a42c73d5660331b0cf724e76c7fd231cf03086\",0,\"algebra_20693\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000678.lean\",\"29ced92855fe66582432cbefdc116fa65abe47077a9e0e35d999993b99b55f4e\",0,\"algebra_20696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000679.lean\",\"d7056870ba0d1839ec0827540add03bade8445018348bd39504727ffa54598be\",0,\"algebra_20712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170097,
+      "path": "data/train/pa5/numina-000135-0000-f94507ba601c05b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f94507ba601c05b1c930c66615640d2e975d8ebd9092e51e15636bd06d5cdc5a"
+    },
+    {
+      "bytes": 46451,
+      "path": "data/internal_test/pa5/numina-000135-0000-b9fad8f497569a4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b9fad8f497569a4f5816885a8d41d496fb6f1dfb2e28b975c33c7121efafbd3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000136.json b/manifests/batches/numina/000136.json
index 1f6b6cd24b55fd4d14fa8d894bc77b18d15f5082..f16c67d986bfd8dcf32b1a29af62116b17204e8e 100644
--- a/manifests/batches/numina/000136.json
+++ b/manifests/batches/numina/000136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000136",
   "batch_fingerprint": "f176d37bde3cd65e6d3eaa30980f0e6071e7265ded25852fd5cb0acb372ead58",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000136-0000-8abc3b11a578427b.parquet",
-      "sha256": "8abc3b11a578427b43e5ce6d27cc1ccee3d22c53e631cff33ac30c8772b255ab",
-      "bytes": 326690,
-      "rows": 48,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:394b369b-ba0b-555f-87b9-36e1ba1485cc",
     "numina:502b2d5a-24d6-5afa-a8b8-a39b84c13eeb",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000682.lean\",\"6af30afa6a10bc0ff0424a54ed900a95a7fb1e44d4a4e9186413b2f9eca74914\",0,\"algebra_20751\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000683.lean\",\"1bb564690920bed0fd800413e6836cc7034a07ae39c813fcb566fbb6e0fd7350\",0,\"algebra_20751\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000684.lean\",\"d7216b60122e5bb13321baf868c0390567278f33c1bf213f6830ccc23c2274fb\",0,\"algebra_20772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326690,
+      "path": "data/train/pcc/numina-000136-0000-8abc3b11a578427b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "8abc3b11a578427b43e5ce6d27cc1ccee3d22c53e631cff33ac30c8772b255ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000137.json b/manifests/batches/numina/000137.json
index 83e2863c6b318dc0cc55bbc3d103f62e480b456e..f5ac8c8d4cb4fd54dce44835a504759afc20521e 100644
--- a/manifests/batches/numina/000137.json
+++ b/manifests/batches/numina/000137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000137",
   "batch_fingerprint": "9fb2d318a4150986ac7aa508124bc033d0e183de06f3df4e73644abb360c2909",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 18,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000137-0000-7b322cbb91eb8538.parquet",
-      "sha256": "7b322cbb91eb85384603098c566a0766125f6a743591793834283c51884d57c0",
-      "bytes": 116361,
-      "rows": 18,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:258db498-966a-59a8-a6d7-9f2d2934369d",
     "numina:278f5d12-36d8-5374-8a1c-cedf3a46fc09",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000687.lean\",\"c4e1eb3f79d5e6b4ad495af8bafdc6b864a242e3086c99eda79b43d446ddb04f\",0,\"algebra_20787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000688.lean\",\"5423a9dc32e171cecc8602536c168f4c8c768dd178a2d562ace2541dbc783b0d\",0,\"algebra_20794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000689.lean\",\"3a0ecf6fef8ef6ad72c6ff336849dd76b19b384948391235054086f3c1a350cd\",0,\"algebra_20797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116361,
+      "path": "data/train/p95/numina-000137-0000-7b322cbb91eb8538.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7b322cbb91eb85384603098c566a0766125f6a743591793834283c51884d57c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000138.json b/manifests/batches/numina/000138.json
index 439d488e12542e47c9407e3cbf95c38850428817..856329455d2ed5c6c30d5ad9cd6325138c16d545 100644
--- a/manifests/batches/numina/000138.json
+++ b/manifests/batches/numina/000138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000138",
   "batch_fingerprint": "875f15ddd0ecc1cb3d903711e6029d82b0a5ec79c66fa4831a4b19991dead9b7",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000138-0000-5295e87b71333a23.parquet",
-      "sha256": "5295e87b71333a2360496686de4377acb10996d67fd69102ef54611d6509ac8f",
-      "bytes": 261885,
-      "rows": 21,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000138-0000-90b8faecb68d7a06.parquet",
-      "sha256": "90b8faecb68d7a064d83f4687f7bf23b0eb5c7b7c97f2bb78044db9858c0826e",
-      "bytes": 33531,
-      "rows": 3,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:341be9c6-22a2-5690-979c-23c38f31512a",
     "numina:5f3bb1f5-b540-5730-ab10-ce4f0c915fc4",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000692.lean\",\"20d3467e93b5d2e620c244677710b188e49e22052f81582772300c430959b855\",0,\"algebra_20825\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000693.lean\",\"2ae79b22b394c92cf26f8c99fb83dbda687f1644a97ef756acc227c29ba78b4b\",0,\"algebra_20843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000694.lean\",\"4e6a549ddaf1f28c9bcd23228e70413751ca54783ba0da49f72edab3915f3cb0\",0,\"algebra_20848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261885,
+      "path": "data/train/pa9/numina-000138-0000-5295e87b71333a23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5295e87b71333a2360496686de4377acb10996d67fd69102ef54611d6509ac8f"
+    },
+    {
+      "bytes": 33531,
+      "path": "data/internal_test/pa9/numina-000138-0000-90b8faecb68d7a06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "90b8faecb68d7a064d83f4687f7bf23b0eb5c7b7c97f2bb78044db9858c0826e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000139.json b/manifests/batches/numina/000139.json
index f23c7edc7e6f6de7f7763942c28a364fff6763c6..f9b6211b19f64f9b70f7737817a4d1de796fc32a 100644
--- a/manifests/batches/numina/000139.json
+++ b/manifests/batches/numina/000139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000139",
   "batch_fingerprint": "16385860c2e9e01828b7312c9850f8d24e0cbf4b38ceffa8c60aa273817cfc41",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000139-0000-e72b6991e95ff7c3.parquet",
-      "sha256": "e72b6991e95ff7c3da56b028f09ecb43bbb967d616bef66268cb226cccdbdea6",
-      "bytes": 169357,
-      "rows": 25,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    },
-    {
-      "path": "data/internal_test/numina-000139-0000-9318a215c2334e49.parquet",
-      "sha256": "9318a215c2334e496365389f570177e8e2bb6350ec8b8c5916bea42ba5beaa56",
-      "bytes": 91038,
-      "rows": 12,
-      "revision": "129e4809d67c56ec7e6ffb34a93b53f84f1d69f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27265815-f20b-55c0-9153-11ee88d801cd",
     "numina:390f118d-7d48-5834-900c-9b0d76d227f5",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000697.lean\",\"b2cfcf5dbc361f8bc7dc2e407ee878798a060fb959d83b998207539a4492cc11\",0,\"algebra_20883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000698.lean\",\"072d613a14434fec02cfa86f8975321b77c17a2ccd80d1ef80b10e820124fd55\",0,\"algebra_20887\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000699.lean\",\"52e6c4ce50b5b73bb280364309f887b4f82a2cb96424d854334cc67f0851a881\",0,\"algebra_20894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169357,
+      "path": "data/train/pee/numina-000139-0000-e72b6991e95ff7c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e72b6991e95ff7c3da56b028f09ecb43bbb967d616bef66268cb226cccdbdea6"
+    },
+    {
+      "bytes": 91038,
+      "path": "data/internal_test/pee/numina-000139-0000-9318a215c2334e49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9318a215c2334e496365389f570177e8e2bb6350ec8b8c5916bea42ba5beaa56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000140.json b/manifests/batches/numina/000140.json
index 59a9879620663a04d781200cc342f153e0b27164..5c210632555fad017abd1aacccf2565c9a7598c2 100644
--- a/manifests/batches/numina/000140.json
+++ b/manifests/batches/numina/000140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000140",
   "batch_fingerprint": "b9b3a50fa8473597027eb9ee57b4353d7811b7dcbda84c0e36099977588ef5d2",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000140-0000-cc8706bc5e2bea9f.parquet",
-      "sha256": "cc8706bc5e2bea9f762f88d20500d22f7668b79c6a5845dc488e2871d214c9ca",
-      "bytes": 234794,
-      "rows": 48,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14733e9e-9aa2-58f4-9c4c-46c89c0b8824",
     "numina:310587c3-8684-5954-81f5-1b51f237a28b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000702.lean\",\"3e272a2273f839f09eb8629b44251ba6a2b781df6cf540b119606b0b064e7751\",0,\"algebra_20947\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000703.lean\",\"d1bb353957ab4a8204f42af4c4cc0e646660627c866d8ae8441117bac94c3f59\",0,\"algebra_20968\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000704.lean\",\"f4fd28bf3bf14efa8394cdd6646df570172bc5952b9935d1629cde6f9de97526\",0,\"algebra_20972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234794,
+      "path": "data/train/pd3/numina-000140-0000-cc8706bc5e2bea9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "cc8706bc5e2bea9f762f88d20500d22f7668b79c6a5845dc488e2871d214c9ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000141.json b/manifests/batches/numina/000141.json
index 0986b99d788268840bff23d8e01f53f9a25f53e7..37bc87ed1944df97f7ad19578ce31e08a3529081 100644
--- a/manifests/batches/numina/000141.json
+++ b/manifests/batches/numina/000141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000141",
   "batch_fingerprint": "d8f6d88108ac1d08dd7212358627497035db03027bff25286fa51c6647690bc8",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 15,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000141-0000-19a2efe63781c255.parquet",
-      "sha256": "19a2efe63781c2555db98ccb12f09f81e869902f7fe58d436d01b58c03101c64",
-      "bytes": 47831,
-      "rows": 6,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/train/numina-000141-0001-293139fc712b1cc5.parquet",
-      "sha256": "293139fc712b1cc530c159221670b82b3e883316011a8c30b47fded8f46cbe13",
-      "bytes": 1105272,
-      "rows": 1,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/train/numina-000141-0002-64c039bcb9911e17.parquet",
-      "sha256": "64c039bcb9911e1798350ea87e1934eed533f46097221516d52e2737b6ae97f8",
-      "bytes": 62674,
-      "rows": 8,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6e231782-37be-5ade-a6e9-61ae395451ac",
     "numina:b2cd45df-dbb1-5218-86cf-c0ae1bf60554",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000707.lean\",\"6f0c0d933f1e23e6dc413c45b4aab0d0dabfd4ea622c1b2fda8511eb13b05cff\",0,\"algebra_21043\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000708.lean\",\"0b1b89539270c01804a2e20f88efdf878cfd76286619eb4105e06b245ac1db50\",0,\"algebra_21066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000709.lean\",\"4a309a042db74d8686a873095edba3a4dbe834d0b46ab6920036bcaebde52c9c\",0,\"algebra_21086\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47831,
+      "path": "data/train/pb9/numina-000141-0000-19a2efe63781c255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "19a2efe63781c2555db98ccb12f09f81e869902f7fe58d436d01b58c03101c64"
+    },
+    {
+      "bytes": 1105272,
+      "path": "data/train/pb9/numina-000141-0001-293139fc712b1cc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "293139fc712b1cc530c159221670b82b3e883316011a8c30b47fded8f46cbe13"
+    },
+    {
+      "bytes": 62674,
+      "path": "data/train/pb9/numina-000141-0002-64c039bcb9911e17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "64c039bcb9911e1798350ea87e1934eed533f46097221516d52e2737b6ae97f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000142.json b/manifests/batches/numina/000142.json
index 7acca02368fcf6d37cf8320af38464bff6724860..c87f8201f7375b3a74d4ebf670611e88091fe972 100644
--- a/manifests/batches/numina/000142.json
+++ b/manifests/batches/numina/000142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000142",
   "batch_fingerprint": "683c047b157d2b3d95d001563d6064b038f298704728a19da24ca82fd27d1a53",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 45,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000142-0000-960c7a0b9c9f900d.parquet",
-      "sha256": "960c7a0b9c9f900d749e30998ea7cd4aeda745234dbfeb2c8141be059ebe333f",
-      "bytes": 110815,
-      "rows": 22,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/dev/numina-000142-0000-decf611a3759efef.parquet",
-      "sha256": "decf611a3759efef3948e52b11b1ef94a5f73e2e46f13d0cd98822240c3740ad",
-      "bytes": 565921,
-      "rows": 17,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000142-0000-5e391f9ae8e95737.parquet",
-      "sha256": "5e391f9ae8e95737c7f1c4c10673d1c8dbda6fde54cce2675751e37f1811c0bb",
-      "bytes": 89944,
-      "rows": 6,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1004bf56-2fc1-591b-8e56-4ee8e01bc3d5",
     "numina:341a4a84-2cd1-5484-8adb-d3530dceb95f",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000712.lean\",\"6fc0e4892e96be28a59a6458908c5a487bc031ae42810cc05ed7db078c015119\",0,\"algebra_21174\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000713.lean\",\"24201da90e7732547e38bb4df2ed5c0b554e7bedbc9eb3fd97a34112519ace13\",0,\"algebra_21176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000714.lean\",\"0e68b1791ca91013df3ad5311abf2f6888d0930801933d5ad6b2a3b065eedf1e\",0,\"algebra_21181\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110815,
+      "path": "data/train/pb1/numina-000142-0000-960c7a0b9c9f900d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "960c7a0b9c9f900d749e30998ea7cd4aeda745234dbfeb2c8141be059ebe333f"
+    },
+    {
+      "bytes": 565921,
+      "path": "data/dev/pb1/numina-000142-0000-decf611a3759efef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "decf611a3759efef3948e52b11b1ef94a5f73e2e46f13d0cd98822240c3740ad"
+    },
+    {
+      "bytes": 89944,
+      "path": "data/internal_test/pb1/numina-000142-0000-5e391f9ae8e95737.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5e391f9ae8e95737c7f1c4c10673d1c8dbda6fde54cce2675751e37f1811c0bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000143.json b/manifests/batches/numina/000143.json
index 24f3e497354aece9baf5a9b98137a6d7c4718f8e..033e58aa5654d1b39fc29446dee7d98779426c52 100644
--- a/manifests/batches/numina/000143.json
+++ b/manifests/batches/numina/000143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000143",
   "batch_fingerprint": "0fc1aed913963ab505731e22ebddc508b04a8d15cf423391ca320d0f8647627c",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000143-0000-f4ef3f2602d40934.parquet",
-      "sha256": "f4ef3f2602d409342d848ba87aa80d5ab1f3d97762bbfd14be4d660a98065166",
-      "bytes": 120377,
-      "rows": 24,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10ab9a1e-112d-5a89-a392-5b9b514335aa",
     "numina:a12b5ac9-ddd0-5592-ad67-b429d9018628",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000717.lean\",\"c3f28e89385a97ee63f19f31f9477001888b606eb98bbcb0882cc831d6a25d5d\",0,\"algebra_21353\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000718.lean\",\"df6473f44a5af28447de25773edf2a9f85bf089bd2033c4368ffbed95385f587\",0,\"algebra_21357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000719.lean\",\"a30724740cedb241d39256bdf53199a9dd9640e8e44aa72a3503faf9b236efa3\",0,\"algebra_21362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120377,
+      "path": "data/train/p51/numina-000143-0000-f4ef3f2602d40934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f4ef3f2602d409342d848ba87aa80d5ab1f3d97762bbfd14be4d660a98065166"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000144.json b/manifests/batches/numina/000144.json
index d188123993cfd1f202154037526846b3c4d921b0..ab6f670b32de7b70a5dbab9be5284e273bbf63aa 100644
--- a/manifests/batches/numina/000144.json
+++ b/manifests/batches/numina/000144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000144",
   "batch_fingerprint": "87b88c65027f915bde5b9b427613a7f1f5fabd30230c4721cd7f27663f8a903a",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 47,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000144-0000-f993e3fef5c25675.parquet",
-      "sha256": "f993e3fef5c256752000cc17512afa86d860e3a2259f0a6e810d2c83c8bd1aaa",
-      "bytes": 172239,
-      "rows": 47,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:519960ac-ab2a-53ee-b0a6-3bdaa202ebe6",
     "numina:83840332-557e-559c-bd39-8e1424f1635e",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000722.lean\",\"bbf3a9dbbdf30b568fc5742f31ee0cb9c9d315ddb2f862d61e1f9ebd03c2fc58\",0,\"algebra_21371\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000723.lean\",\"fbd70f451af77ea5bb3c19694078bf068914a3acdf0c0f59d05a259aabfa2fe2\",0,\"algebra_21386\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000724.lean\",\"b978ae8b2a633b90e9e6deff04d7fb8e9f851b2e82718dc174cc6bcee1a1a89a\",0,\"algebra_21391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172239,
+      "path": "data/train/p06/numina-000144-0000-f993e3fef5c25675.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f993e3fef5c256752000cc17512afa86d860e3a2259f0a6e810d2c83c8bd1aaa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000145.json b/manifests/batches/numina/000145.json
index 4485118458cc7f2aebddb5263cd87ea910fc7b10..fd666d31b2fac65a87ade810622694edbcabd55b 100644
--- a/manifests/batches/numina/000145.json
+++ b/manifests/batches/numina/000145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000145",
   "batch_fingerprint": "152765d552a19590cb77b788ef35055dabad9a34bde197c1f0004539f17d7e75",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 50,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000145-0000-535ceffbef31ffd9.parquet",
-      "sha256": "535ceffbef31ffd9216d8f6d1312e35e42d117699bd103252058679a0343da82",
-      "bytes": 544152,
-      "rows": 26,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/train/numina-000145-0001-e2b6480a9bdb2861.parquet",
-      "sha256": "e2b6480a9bdb28610e5cf3ab80f6c7308b401a40aadca963eb5d6e06f9bdfa18",
-      "bytes": 227022,
-      "rows": 8,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000145-0000-f6dae4444eab5448.parquet",
-      "sha256": "f6dae4444eab5448de8b81265b6eafd674e62d4f6687005a1595c62c523cf072",
-      "bytes": 364186,
-      "rows": 16,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e7aa0e8-26e3-5589-a45f-a9cf1942006e",
     "numina:1e8d3a46-97b4-5d83-bd85-86f1d6238e50",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000727.lean\",\"bb797b168a5e126ff083d48fd641deecccbe623c42bc35c2a10889d7c043a594\",0,\"algebra_21563\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000728.lean\",\"cc03e9b33f2a790e25e8b15d5384be442c6bc5ab7d061d80023a4d07e2149d0c\",0,\"algebra_21582\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000729.lean\",\"142f7afdf41fbb0ca199e1e21dd621ccdbfc10bb3b09b67157db18292feb7f9e\",0,\"algebra_21590\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544152,
+      "path": "data/train/p7c/numina-000145-0000-535ceffbef31ffd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "535ceffbef31ffd9216d8f6d1312e35e42d117699bd103252058679a0343da82"
+    },
+    {
+      "bytes": 227022,
+      "path": "data/train/p7c/numina-000145-0001-e2b6480a9bdb2861.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e2b6480a9bdb28610e5cf3ab80f6c7308b401a40aadca963eb5d6e06f9bdfa18"
+    },
+    {
+      "bytes": 364186,
+      "path": "data/internal_test/p7c/numina-000145-0000-f6dae4444eab5448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f6dae4444eab5448de8b81265b6eafd674e62d4f6687005a1595c62c523cf072"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000146.json b/manifests/batches/numina/000146.json
index 01af8e45fa88f3ad175fdb3b8febf35ad24e5578..37448b641f3a588e07b6dcdc9e5a10db01c31f9a 100644
--- a/manifests/batches/numina/000146.json
+++ b/manifests/batches/numina/000146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000146",
   "batch_fingerprint": "f6b3e66f4f72b446932aa3002a8dbbc21cfacceeb5afba0b5c6c72ecc71ad89f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000146-0000-2e13febeb9fc80b5.parquet",
-      "sha256": "2e13febeb9fc80b525bd7d8d1fc9e2188bd92240225d4ffb599de3a2d5351e0b",
-      "bytes": 153206,
-      "rows": 32,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08ca323e-4cf9-5443-8851-528502f72d1b",
     "numina:0dec5aae-ca97-5355-9ac6-c9d2294b6d67",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000732.lean\",\"2f2750e9e86fe4780f05beee8c056d59000520df325d8931eb2a992861b2a043\",0,\"algebra_21774\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000733.lean\",\"88288e87a2e80a81fdbedb553e7025810c5000efac4c241771df5efbad5e35e9\",0,\"algebra_21824\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000734.lean\",\"a6729e29aeb81e4e5c892eb86f568fed99a7b02525ad43af7c0217756b699f6a\",0,\"algebra_21833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153206,
+      "path": "data/train/p3c/numina-000146-0000-2e13febeb9fc80b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "2e13febeb9fc80b525bd7d8d1fc9e2188bd92240225d4ffb599de3a2d5351e0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000147.json b/manifests/batches/numina/000147.json
index 817aa35d1cfc0c919818f3cb58efc5ae9ad232e2..a9291e40eb3c8670aa1ac90296c4fa015dc1588b 100644
--- a/manifests/batches/numina/000147.json
+++ b/manifests/batches/numina/000147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000147",
   "batch_fingerprint": "3a3fef796704a693c9303767366e49442ff4b15aecb39f2b787f927e86bf704b",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 50,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000147-0000-64acdb714b49aa7d.parquet",
-      "sha256": "64acdb714b49aa7df98ccab439bfc85b61340c8be9a16493cbc2690650e6fa75",
-      "bytes": 85746,
-      "rows": 22,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/dev/numina-000147-0000-29b262f6b303ea4b.parquet",
-      "sha256": "29b262f6b303ea4bd739b72f7796f9f54929a6aaca899c8e5be1c878c7f09861",
-      "bytes": 78073,
-      "rows": 17,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000147-0000-77392de88d6c3176.parquet",
-      "sha256": "77392de88d6c31763e1b8b1e52f8402f75ffd9ee0745d9ae7b1028f212e7d8ef",
-      "bytes": 144985,
-      "rows": 11,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0093e4fb-5df2-5b88-974d-726f916a2bab",
     "numina:4b2c4244-7a0c-564c-8678-fa8fe808ef4e",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000737.lean\",\"d8423f0a484a5732fe6977389bbb47dc3622cfac7abb19a67db9e3dd6c71c0ec\",0,\"algebra_21888\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000738.lean\",\"ebab4eb521fd70f5c84ceea2599f46beb72e15f039ce75652651f4d1e0d89a33\",0,\"algebra_21896\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000739.lean\",\"6d07df9700fd99c1221cba3fa6affc08811be8f42e9b946577fc346a73f286f4\",0,\"algebra_21906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85746,
+      "path": "data/train/pa4/numina-000147-0000-64acdb714b49aa7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "64acdb714b49aa7df98ccab439bfc85b61340c8be9a16493cbc2690650e6fa75"
+    },
+    {
+      "bytes": 78073,
+      "path": "data/dev/pa4/numina-000147-0000-29b262f6b303ea4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "29b262f6b303ea4bd739b72f7796f9f54929a6aaca899c8e5be1c878c7f09861"
+    },
+    {
+      "bytes": 144985,
+      "path": "data/internal_test/pa4/numina-000147-0000-77392de88d6c3176.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "77392de88d6c31763e1b8b1e52f8402f75ffd9ee0745d9ae7b1028f212e7d8ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000148.json b/manifests/batches/numina/000148.json
index a5a5feb3f8c8460a16ba251163422819dade42a6..a49af27d76e4867174d2445f3000546ea5570f1d 100644
--- a/manifests/batches/numina/000148.json
+++ b/manifests/batches/numina/000148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000148",
   "batch_fingerprint": "07209f69dbbec2c86963dd83bcb1ac6dc1ab620a53dd1cefda10cd5ef8870701",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000148-0000-ff1a0459cc463b0b.parquet",
-      "sha256": "ff1a0459cc463b0bda41ae84a788d44f7f8127a1e8cd0aa0debff0806ceedb45",
-      "bytes": 235867,
-      "rows": 27,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000148-0000-c3f3f56a6bd37e65.parquet",
-      "sha256": "c3f3f56a6bd37e657529a9370d878ec2cb9b0d48ee8d8a758503f58c2894b64c",
-      "bytes": 62947,
-      "rows": 10,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:278cc34a-4be3-5a29-ba60-bd61a137ad70",
     "numina:60352091-ace2-562f-8904-d24ea533286d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000742.lean\",\"127fe3b7191ab30004abbf84e05a9aeea36919b66973e49c1caa17d3f6c99a80\",0,\"algebra_22142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000743.lean\",\"e8b4a999fe70e986af934b418d6c10a1d671c46ca4398ce57f851961ebbb353a\",0,\"algebra_22229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000744.lean\",\"70a67faaada16752e90e09b709a3c13cef9cda3942c442445794b538f2fce8df\",0,\"algebra_22316\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235867,
+      "path": "data/train/p43/numina-000148-0000-ff1a0459cc463b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ff1a0459cc463b0bda41ae84a788d44f7f8127a1e8cd0aa0debff0806ceedb45"
+    },
+    {
+      "bytes": 62947,
+      "path": "data/internal_test/p43/numina-000148-0000-c3f3f56a6bd37e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c3f3f56a6bd37e657529a9370d878ec2cb9b0d48ee8d8a758503f58c2894b64c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000149.json b/manifests/batches/numina/000149.json
index ae768a237b097dc8cd7c227098362e65516bb3e4..52b7749a91a54f0391a3e1053b81ac918f2ebbe0 100644
--- a/manifests/batches/numina/000149.json
+++ b/manifests/batches/numina/000149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000149",
   "batch_fingerprint": "93ac69379a2303a3c953c2cad6d351ac07a66348b8e112c006b483b8d6c1d1ca",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 60,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000149-0000-69ca09ad418b0215.parquet",
-      "sha256": "69ca09ad418b02159a231d9d7eb42a77e6a09f0ef1fa221d690833c521066e1c",
-      "bytes": 461320,
-      "rows": 34,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/dev/numina-000149-0000-f9a92e0f4289bd42.parquet",
-      "sha256": "f9a92e0f4289bd42f31712e4fa80ccf1340df1013a6db1d31bef0786465783e1",
-      "bytes": 190874,
-      "rows": 16,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000149-0000-2e86f948be16015a.parquet",
-      "sha256": "2e86f948be16015a2e7565e6e756b1e71b3e00e992a21692655725f7612c660d",
-      "bytes": 263829,
-      "rows": 10,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32f2946e-c2e8-5b5d-9bef-6ba15e56196a",
     "numina:aa75f56f-5ae2-53f2-aec1-f9cad23319f3",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000747.lean\",\"2675650af4d09edafe4c6876166adbc25641af247dbcec9d5abe3452539542d7\",0,\"algebra_22451\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000748.lean\",\"8ef7c750a117582e4951eda3d87fe095fcb22bb2155b7f15debd070d433c810c\",0,\"calculus_22456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000749.lean\",\"a20ef384819b62ae980f64e68dd1ed9ac3273e72bc670d64adc03436550d87ba\",0,\"calculus_22588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461320,
+      "path": "data/train/p8c/numina-000149-0000-69ca09ad418b0215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "69ca09ad418b02159a231d9d7eb42a77e6a09f0ef1fa221d690833c521066e1c"
+    },
+    {
+      "bytes": 190874,
+      "path": "data/dev/p8c/numina-000149-0000-f9a92e0f4289bd42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f9a92e0f4289bd42f31712e4fa80ccf1340df1013a6db1d31bef0786465783e1"
+    },
+    {
+      "bytes": 263829,
+      "path": "data/internal_test/p8c/numina-000149-0000-2e86f948be16015a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2e86f948be16015a2e7565e6e756b1e71b3e00e992a21692655725f7612c660d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000150.json b/manifests/batches/numina/000150.json
index c6171c4c4f532b9d65840976eec2fa3267d9eaa4..82bee2856850c6d3199f665dffc6ab1388e14e33 100644
--- a/manifests/batches/numina/000150.json
+++ b/manifests/batches/numina/000150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000150",
   "batch_fingerprint": "f0151e25442995480290fca17e876450aa4da6a2fbce6ddd8307ecc5d57b83e1",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000150-0000-b3cbfa08f3e21a86.parquet",
-      "sha256": "b3cbfa08f3e21a86a3a3e32f89dca14e03790ddaa850cf84cc28f4af18db57f2",
-      "bytes": 109177,
-      "rows": 16,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000150-0000-b894f0369333ed40.parquet",
-      "sha256": "b894f0369333ed405228f3bd528a60bcab72adbe71174fcb859e81ac84ea273b",
-      "bytes": 34978,
-      "rows": 6,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:60cbdb60-f27d-5b4c-96dd-5bcaf5d810d5",
     "numina:622922df-2428-5c16-ab7e-dc8cae67a54f",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000751.lean\",\"3078b01d3f8391598b4c9444e2ab4b3b34dcaf2b9ada3cc47fa1b5c1bcc259ab\",0,\"calculus_22734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000752.lean\",\"4e8bae8d5a2600dc68b7b0050e7d70b5e5db0476c0127a5ebee51e66f968636a\",0,\"number_theory_22744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000753.lean\",\"5e1e359d50af1d3ad6653b0135a6ddfbcb8e64913027ff98492ba994c7c777b9\",0,\"number_theory_22809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109177,
+      "path": "data/train/p8c/numina-000150-0000-b3cbfa08f3e21a86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b3cbfa08f3e21a86a3a3e32f89dca14e03790ddaa850cf84cc28f4af18db57f2"
+    },
+    {
+      "bytes": 34978,
+      "path": "data/internal_test/p8c/numina-000150-0000-b894f0369333ed40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b894f0369333ed405228f3bd528a60bcab72adbe71174fcb859e81ac84ea273b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000151.json b/manifests/batches/numina/000151.json
index a6a2554143ccf020de4b1f31afeb308ba07e2906..f6dd7541998eedb9ac3b281be5c41726aa9467f3 100644
--- a/manifests/batches/numina/000151.json
+++ b/manifests/batches/numina/000151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000151",
   "batch_fingerprint": "6f10ac77d96bf85c9fcf187ac3ef76517bfb51b12d9ffc79e7725c589a8fb0fa",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 54,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:37e2f6ad-5dfb-519e-a7d5-5df8ffa29acd",
+    "numina:5214dc5b-60e8-52bd-b8f4-35110538e88d",
+    "numina:62bcf686-bf2f-57ec-a03f-34d2dfbcf1f7",
+    "numina:b852ddda-bb8c-5b3b-bba1-7302e5fd75bb",
+    "numina:f24c2f84-ed49-5d74-820a-c655f5e9a3cd"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000755.lean\",\"32bfc733e2cf74beaee9f9a0079b9c74de9c8ea17ab9bb85376f8d8753513f51\",0,\"number_theory_22946\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000756.lean\",\"652e61c9805d307aaf5d9c60a2139a4663a7aa8aa0bb24a91fb839ec41f41960\",0,\"number_theory_23008\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000757.lean\",\"d913fc3d7eb832d1ad17be6866ed61c94ce881b6d8b9bbff00df167a09273209\",0,\"calculus_23012\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000758.lean\",\"ddc928cb17f253ebd5d2f0241c6e57b272e8094dd0c008a8aca372b34d2d2156\",0,\"calculus_23056\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000759.lean\",\"8a4548023ce0e87443de225c7fec96bf4f05ee3e6ed8204c4f41258e45da48f4\",0,\"number_theory_23062\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000151-0000-9c276a8e0943f14b.parquet",
-      "sha256": "9c276a8e0943f14b3a0c005488b4d7db61ce0645fb01dbba23f9e702a52a3d44",
       "bytes": 780008,
+      "path": "data/train/p8d/numina-000151-0000-9c276a8e0943f14b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 33,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "9c276a8e0943f14b3a0c005488b4d7db61ce0645fb01dbba23f9e702a52a3d44"
     },
     {
-      "path": "data/train/numina-000151-0001-03c48025b6271d82.parquet",
-      "sha256": "03c48025b6271d8266b10ce0b4bc07c8c420c2b5e9d5b664074a60a70c141250",
       "bytes": 870337,
+      "path": "data/train/p8d/numina-000151-0001-03c48025b6271d82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "03c48025b6271d8266b10ce0b4bc07c8c420c2b5e9d5b664074a60a70c141250"
     },
     {
-      "path": "data/train/numina-000151-0002-674166f158fb5094.parquet",
-      "sha256": "674166f158fb5094137b5e7fd8d761297e4e8e721901a89ec535ddc01d96a100",
       "bytes": 801210,
+      "path": "data/train/p8d/numina-000151-0002-674166f158fb5094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "674166f158fb5094137b5e7fd8d761297e4e8e721901a89ec535ddc01d96a100"
     },
     {
-      "path": "data/internal_test/numina-000151-0000-0c1e76065fe79505.parquet",
-      "sha256": "0c1e76065fe795052e894b1d37321a670887a37dd320bc6cbf618fa0f5ed2a2c",
       "bytes": 37722,
+      "path": "data/internal_test/p8d/numina-000151-0000-0c1e76065fe79505.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "0c1e76065fe795052e894b1d37321a670887a37dd320bc6cbf618fa0f5ed2a2c"
     }
-  ],
-  "proof_ids": [
-    "numina:37e2f6ad-5dfb-519e-a7d5-5df8ffa29acd",
-    "numina:5214dc5b-60e8-52bd-b8f4-35110538e88d",
-    "numina:62bcf686-bf2f-57ec-a03f-34d2dfbcf1f7",
-    "numina:b852ddda-bb8c-5b3b-bba1-7302e5fd75bb",
-    "numina:f24c2f84-ed49-5d74-820a-c655f5e9a3cd"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000755.lean\",\"32bfc733e2cf74beaee9f9a0079b9c74de9c8ea17ab9bb85376f8d8753513f51\",0,\"number_theory_22946\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000756.lean\",\"652e61c9805d307aaf5d9c60a2139a4663a7aa8aa0bb24a91fb839ec41f41960\",0,\"number_theory_23008\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000757.lean\",\"d913fc3d7eb832d1ad17be6866ed61c94ce881b6d8b9bbff00df167a09273209\",0,\"calculus_23012\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000758.lean\",\"ddc928cb17f253ebd5d2f0241c6e57b272e8094dd0c008a8aca372b34d2d2156\",0,\"calculus_23056\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000759.lean\",\"8a4548023ce0e87443de225c7fec96bf4f05ee3e6ed8204c4f41258e45da48f4\",0,\"number_theory_23062\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000152.json b/manifests/batches/numina/000152.json
index f9db8b7603bb3240e222f07d467fcd56814e7cbf..1efa86479dc2d6c4b2a762fb53e15a35b752594a 100644
--- a/manifests/batches/numina/000152.json
+++ b/manifests/batches/numina/000152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000152",
   "batch_fingerprint": "10ab24d3db89287e81419c6a7f4553bf5e22c059bca69a9ecccb0d4ebb03f7f4",
   "evidence": {
@@ -23,22 +22,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000152-0000-38babe6fae323ea2.parquet",
-      "sha256": "38babe6fae323ea268e50bcd53ba1206396f124bb21e5fda2ebd62930aec2db1",
-      "bytes": 111604,
-      "rows": 27,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000152-0000-06876f065aae65be.parquet",
-      "sha256": "06876f065aae65bea9900872c3c443bdd90aef9ddd096f520994d82633c16044",
-      "bytes": 22932,
-      "rows": 1,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:183c74f7-2e84-57d8-bcaf-cc1625742182",
     "numina:29b412a3-47fa-521b-ae12-e3bae168a09a",
@@ -52,5 +36,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000762.lean\",\"158c1bcd8109fe2e4c8c33739679036e84e6a33a82823f601f303dfd294a5fbe\",0,\"number_theory_23216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000763.lean\",\"12fb7ccc1fabf8088bb6e5907c290575bfbe04d6f2adc010fdd64b0015d07dd3\",0,\"number_theory_23240\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000764.lean\",\"c5fd7b132df8863bfe5fe389dd6f53435a3df82464f8ec70bab452698d8925ef\",0,\"number_theory_23246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111604,
+      "path": "data/train/p3f/numina-000152-0000-38babe6fae323ea2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "38babe6fae323ea268e50bcd53ba1206396f124bb21e5fda2ebd62930aec2db1"
+    },
+    {
+      "bytes": 22932,
+      "path": "data/internal_test/p3f/numina-000152-0000-06876f065aae65be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "06876f065aae65bea9900872c3c443bdd90aef9ddd096f520994d82633c16044"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000153.json b/manifests/batches/numina/000153.json
index cc28c7e004be788437c889eeec63fcd0ed7a0c87..16783a33af3ded3c97ee1f6e1ace8f7cb611b08a 100644
--- a/manifests/batches/numina/000153.json
+++ b/manifests/batches/numina/000153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000153",
   "batch_fingerprint": "5d630a07d12abf068917bdbe9350582224f42f72ce4f2583666c0c78c319e997",
   "evidence": {
@@ -31,22 +30,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000153-0000-b9a06ee517d22c1d.parquet",
-      "sha256": "b9a06ee517d22c1d574818bdd0390d3d93a02fb014119d054fda0cd14043e642",
-      "bytes": 578540,
-      "rows": 32,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/internal_test/numina-000153-0000-30957e33034d8d6a.parquet",
-      "sha256": "30957e33034d8d6afa4419c523cf7cd176415b6d35db8afce19b24a4f4da04b0",
-      "bytes": 45267,
-      "rows": 8,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a35b8b0-aaaa-50e2-be4d-5ec88ceea30e",
     "numina:28053115-8c31-57ca-b968-d73d54318163",
@@ -60,5 +44,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000767.lean\",\"3235a76ff7615ec464eca45f5e001a4f1e23df445665a8ac15456d23b518a944\",0,\"number_theory_23437\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000768.lean\",\"ededb1eac7a7d764249a9d95e64b383dddd018699e7e3c4aae86c27ef65d66d2\",0,\"number_theory_23439\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000769.lean\",\"4202e3b55a5774bf6aa24d176e0515501b4ae655b4979c958f207ff0547bce0f\",0,\"number_theory_23466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 578540,
+      "path": "data/train/p54/numina-000153-0000-b9a06ee517d22c1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "b9a06ee517d22c1d574818bdd0390d3d93a02fb014119d054fda0cd14043e642"
+    },
+    {
+      "bytes": 45267,
+      "path": "data/internal_test/p54/numina-000153-0000-30957e33034d8d6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "30957e33034d8d6afa4419c523cf7cd176415b6d35db8afce19b24a4f4da04b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000154.json b/manifests/batches/numina/000154.json
index f8fe71e75ffaeee1002d345688a1d7ae6167a25e..b3e0b4513d6620f95e1dad3d82f8f9f3bbf52630 100644
--- a/manifests/batches/numina/000154.json
+++ b/manifests/batches/numina/000154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000154",
   "batch_fingerprint": "89b1487b29fec341831d8fb53df22e94a6c1058e6bfee5addc41128f7cd69cef",
   "evidence": {
@@ -34,60 +33,61 @@
     "transitions": 52,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0830bc99-d374-5dab-9ca1-8eae566d2ab8",
+    "numina:93c0c0a5-8c34-584e-aea7-3c10cd4a4bdb",
+    "numina:97991e21-d750-5cc7-8c28-71a3edab1fa5",
+    "numina:eef2899b-7965-5392-ac9a-0bbc2a8b9f82"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000771.lean\",\"58624c61bbf07db028c277b48fc8afc4b06a4dfece177508ee4cf116bbce2093\",0,\"algebra_23547\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000772.lean\",\"8cd3f773cc797edae7225040921d2f7b1af6a581a996d9a0de17413f784f67db\",0,\"combinatorics_23564\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000773.lean\",\"3a6ad5bac7747cf35cb38674001f1e766a3c6d5d538bacfeb13c6ee40467cfed\",10,\"number_theory_23606\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000774.lean\",\"d3961865fd0a93cd4931635720191cd8755faf97473c1daa0de330360b032b60\",0,\"Number_Theory_n5\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000154-0000-ce67be422f1b3529.parquet",
-      "sha256": "ce67be422f1b3529c1929040aafd20c035c1522d905093110d27d53e7c97fadd",
       "bytes": 216814,
+      "path": "data/train/pac/numina-000154-0000-ce67be422f1b3529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "ce67be422f1b3529c1929040aafd20c035c1522d905093110d27d53e7c97fadd"
     },
     {
-      "path": "data/train/numina-000154-0001-18b432212fe7229e.parquet",
-      "sha256": "18b432212fe7229efc42e93e74f22766af4285d391dcede6d1234a06f2fcb62b",
       "bytes": 1907840,
+      "path": "data/train/pac/numina-000154-0001-18b432212fe7229e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "18b432212fe7229efc42e93e74f22766af4285d391dcede6d1234a06f2fcb62b"
     },
     {
-      "path": "data/train/numina-000154-0002-968e84125671241e.parquet",
-      "sha256": "968e84125671241e76ee001aa35cd3d13d0bd101626184ffa69f9a1fb50738d6",
       "bytes": 721414,
+      "path": "data/train/pac/numina-000154-0002-968e84125671241e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "968e84125671241e76ee001aa35cd3d13d0bd101626184ffa69f9a1fb50738d6"
     },
     {
-      "path": "data/train/numina-000154-0003-1b047489b067dfdc.parquet",
-      "sha256": "1b047489b067dfdc5e6a8f3fa76563416ab2da9a55c44944ca045f5854bda684",
       "bytes": 790290,
+      "path": "data/train/pac/numina-000154-0003-1b047489b067dfdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "1b047489b067dfdc5e6a8f3fa76563416ab2da9a55c44944ca045f5854bda684"
     },
     {
-      "path": "data/train/numina-000154-0004-31b0ab7e255121c3.parquet",
-      "sha256": "31b0ab7e255121c3cce9dea78f3cc210439b9c5be22c37737c01adb5a5ad2179",
       "bytes": 456864,
+      "path": "data/train/pac/numina-000154-0004-31b0ab7e255121c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "31b0ab7e255121c3cce9dea78f3cc210439b9c5be22c37737c01adb5a5ad2179"
     },
     {
-      "path": "data/dev/numina-000154-0000-ad0b8ebe8b924634.parquet",
-      "sha256": "ad0b8ebe8b9246340d2b64a77534a832e267df30148c529ad0031f12819d6e18",
       "bytes": 51171,
+      "path": "data/dev/pac/numina-000154-0000-ad0b8ebe8b924634.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "ad0b8ebe8b9246340d2b64a77534a832e267df30148c529ad0031f12819d6e18"
     }
-  ],
-  "proof_ids": [
-    "numina:0830bc99-d374-5dab-9ca1-8eae566d2ab8",
-    "numina:93c0c0a5-8c34-584e-aea7-3c10cd4a4bdb",
-    "numina:97991e21-d750-5cc7-8c28-71a3edab1fa5",
-    "numina:eef2899b-7965-5392-ac9a-0bbc2a8b9f82"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000771.lean\",\"58624c61bbf07db028c277b48fc8afc4b06a4dfece177508ee4cf116bbce2093\",0,\"algebra_23547\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000772.lean\",\"8cd3f773cc797edae7225040921d2f7b1af6a581a996d9a0de17413f784f67db\",0,\"combinatorics_23564\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000773.lean\",\"3a6ad5bac7747cf35cb38674001f1e766a3c6d5d538bacfeb13c6ee40467cfed\",10,\"number_theory_23606\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000774.lean\",\"d3961865fd0a93cd4931635720191cd8755faf97473c1daa0de330360b032b60\",0,\"Number_Theory_n5\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000155.json b/manifests/batches/numina/000155.json
index 4df5b86c2fae1c4f18aa0d16790199e4cb55b2ea..595fc89d010aca88167400c42c3ac6c900985e5d 100644
--- a/manifests/batches/numina/000155.json
+++ b/manifests/batches/numina/000155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000155",
   "batch_fingerprint": "d1772505acd5e8494552adc8c58ce8384119f62117f8151658b3df3dfc3393d3",
   "evidence": {
@@ -52,37 +51,38 @@
     "transitions": 18,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0ad33a32-afdb-5669-83cd-dd67dffa39b4",
+    "numina:750d4052-da0a-58b0-bd92-8f49796e8f11",
+    "numina:8c42c86c-1c46-589f-91e4-476a764e15fa"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000776.lean\",\"14f2e6961e5de6f7b6c57d8f421024031dea24f1ee2bd4f0a2d228798e740594\",1,\"number_theory_23682\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000778.lean\",\"2d4f2107efe0ec7cc9cd1d5192e294ed8c475f18cda81ea9cdc93425fa87d68e\",0,\"algebra_23686\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000779.lean\",\"d85b95f64d8831e9d2ce3a13ef7afd52975acb9e3cf3e2eac4679846ef94c30b\",4,\"number_theory_23688\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000155-0000-f1e12bb8d8ad7ed9.parquet",
-      "sha256": "f1e12bb8d8ad7ed933bc999ea20ca0018f0c9a3c0af8694c65b0367f7cb40e4c",
       "bytes": 35167,
+      "path": "data/train/pf7/numina-000155-0000-f1e12bb8d8ad7ed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "f1e12bb8d8ad7ed933bc999ea20ca0018f0c9a3c0af8694c65b0367f7cb40e4c"
     },
     {
-      "path": "data/train/numina-000155-0001-89c914cb70e41ad7.parquet",
-      "sha256": "89c914cb70e41ad7ac1b1b031d6558bd3777664aa2cc3a661c56f63daf6160b5",
       "bytes": 978769,
+      "path": "data/train/pf7/numina-000155-0001-89c914cb70e41ad7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "89c914cb70e41ad7ac1b1b031d6558bd3777664aa2cc3a661c56f63daf6160b5"
     },
     {
-      "path": "data/train/numina-000155-0002-745832c1da1eed09.parquet",
-      "sha256": "745832c1da1eed09d2fcecb735db8fb5ec019739c489b7c5c22d50ee4206d36e",
       "bytes": 136821,
+      "path": "data/train/pf7/numina-000155-0002-745832c1da1eed09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "745832c1da1eed09d2fcecb735db8fb5ec019739c489b7c5c22d50ee4206d36e"
     }
-  ],
-  "proof_ids": [
-    "numina:0ad33a32-afdb-5669-83cd-dd67dffa39b4",
-    "numina:750d4052-da0a-58b0-bd92-8f49796e8f11",
-    "numina:8c42c86c-1c46-589f-91e4-476a764e15fa"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000776.lean\",\"14f2e6961e5de6f7b6c57d8f421024031dea24f1ee2bd4f0a2d228798e740594\",1,\"number_theory_23682\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000778.lean\",\"2d4f2107efe0ec7cc9cd1d5192e294ed8c475f18cda81ea9cdc93425fa87d68e\",0,\"algebra_23686\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000779.lean\",\"d85b95f64d8831e9d2ce3a13ef7afd52975acb9e3cf3e2eac4679846ef94c30b\",4,\"number_theory_23688\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000156.json b/manifests/batches/numina/000156.json
index 0b8558c65a746894138fe36155b1800434029cd4..53db8a762a2ad7269f0066d3e0324773aad730d0 100644
--- a/manifests/batches/numina/000156.json
+++ b/manifests/batches/numina/000156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000156",
   "batch_fingerprint": "5b8aa8685d0ceb7740444e388ea12b6665974397c52b943820527b52e8977692",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 26,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000156-0000-60e769a7cf957da8.parquet",
-      "sha256": "60e769a7cf957da8913a7996529baf9d8065a998b1cde6ffcc02f181fee61c8c",
-      "bytes": 519320,
-      "rows": 19,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    },
-    {
-      "path": "data/train/numina-000156-0001-4a3cb82706bf9452.parquet",
-      "sha256": "4a3cb82706bf94522da2d3b54b8d72fd9d3d0fe2e4fcff2a4919ae2063a967a0",
-      "bytes": 290559,
-      "rows": 7,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:619ed4e7-aff4-585a-81f6-a29e4175d43c",
     "numina:6a196064-2fd5-5d48-a6c0-54e26243237e",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000781.lean\",\"cffd43b13d294dd6041a5e3978b4f874dcee3eac1fd483437621c016e59a5e6b\",2,\"algebra_23704\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000782.lean\",\"fd99ee7074c3ed41332c2b1477789370bc6096637593e955c20230a490eaee81\",0,\"algebra_23716\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000784.lean\",\"d967b83850088d97e367191d653e7aeb6b8ba64d86364eb8c800f2298a968cdf\",0,\"socks_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519320,
+      "path": "data/train/pae/numina-000156-0000-60e769a7cf957da8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "60e769a7cf957da8913a7996529baf9d8065a998b1cde6ffcc02f181fee61c8c"
+    },
+    {
+      "bytes": 290559,
+      "path": "data/train/pae/numina-000156-0001-4a3cb82706bf9452.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4a3cb82706bf94522da2d3b54b8d72fd9d3d0fe2e4fcff2a4919ae2063a967a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000157.json b/manifests/batches/numina/000157.json
index 392503847ff687d0cd547a4888104837a84a23d9..07ce5217d36a5446f68754c9eae10e339ed146bc 100644
--- a/manifests/batches/numina/000157.json
+++ b/manifests/batches/numina/000157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000157",
   "batch_fingerprint": "630408b774a131756125b79838e81a900d44ee14684ecf902af78d93c7a8247b",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 58,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000157-0000-2ff866039d8ae5a1.parquet",
-      "sha256": "2ff866039d8ae5a19ed114e927709f1007f459c3c33c3a85ef8cc8f78ed362d0",
-      "bytes": 692822,
-      "rows": 58,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1dade684-86ef-5686-8320-67b30cfdd7da",
     "numina:28d15375-0d0d-5f05-8fd4-c7319cee0420",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000787.lean\",\"583943390aeb9a0cb3f6085ca014eca44ed4cb497916eb89f8434c1566098ee2\",0,\"number_theory_23787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000788.lean\",\"39d563826ded03904942f8cc06b07d61533b09ec38c85004c24e2775f16f39fc\",0,\"algebra_23804\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000789.lean\",\"27469234920cb3b9bc569590313e90719f8d79fa89b71c558147b2ef7f8dfcfa\",0,\"algebra_23808\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 692822,
+      "path": "data/train/p78/numina-000157-0000-2ff866039d8ae5a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "2ff866039d8ae5a19ed114e927709f1007f459c3c33c3a85ef8cc8f78ed362d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000158.json b/manifests/batches/numina/000158.json
index 489145e97acd50a8b98376098328454985ef7547..fa1ac7b33f1127f7f32e28f4cdf1594a6797dd56 100644
--- a/manifests/batches/numina/000158.json
+++ b/manifests/batches/numina/000158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000158",
   "batch_fingerprint": "429096e2a4dede9a329006e8d55e1ff50bef530c77736b6d2334f74abde80f5f",
   "evidence": {
@@ -34,45 +33,46 @@
     "transitions": 47,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:5a2c767c-0a44-5f31-bcc8-50c0bc507e2b",
+    "numina:70dee911-2d86-56bc-8c39-085b29a02f60",
+    "numina:addd6693-9cef-5341-88d7-647147933199"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000791.lean\",\"f71d225772bc9d62b97d7f947b4f2886237e17baea5ba89616d3a029d5989704\",0,\"Combinatorics_5659\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000792.lean\",\"281e9f5c5bf711599d8dd5861a8c4497333437efa2dafe1dd178c963f26ee541\",0,\"Combinatorics_5659\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000793.lean\",\"436ac17f933d510591ca497dd795b0a2e6a466cebc4e499c87543195af2a9c18\",5,\"combinatorics_23826\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000794.lean\",\"374ff784311ced1ecfd9c68379459643fcc6119a6498327249cfbf605c04b33b\",0,\"algebra_23868\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000158-0000-af492fd6de0f2616.parquet",
-      "sha256": "af492fd6de0f2616737312bc642f08ea21e83cbe886995d2b27e6404fad73e4f",
       "bytes": 521459,
+      "path": "data/train/p89/numina-000158-0000-af492fd6de0f2616.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "af492fd6de0f2616737312bc642f08ea21e83cbe886995d2b27e6404fad73e4f"
     },
     {
-      "path": "data/train/numina-000158-0001-6bf36bc688829fe1.parquet",
-      "sha256": "6bf36bc688829fe114ef0466e8392f245d267c5c1a88cc9779da8c9dcbcfc1e0",
       "bytes": 120916,
+      "path": "data/train/p89/numina-000158-0001-6bf36bc688829fe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "6bf36bc688829fe114ef0466e8392f245d267c5c1a88cc9779da8c9dcbcfc1e0"
     },
     {
-      "path": "data/internal_test/numina-000158-0000-f3d26c1a22a63b81.parquet",
-      "sha256": "f3d26c1a22a63b811500e0bbd1508de4d1a8c9df152cdfa3bce7d491a5757cf3",
       "bytes": 664589,
+      "path": "data/internal_test/p89/numina-000158-0000-f3d26c1a22a63b81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "f3d26c1a22a63b811500e0bbd1508de4d1a8c9df152cdfa3bce7d491a5757cf3"
     },
     {
-      "path": "data/internal_test/numina-000158-0001-a7a7f00e8f9f9a7b.parquet",
-      "sha256": "a7a7f00e8f9f9a7b403582dfbc6663fd0d2424da9d6b2a68bda53c4ef565b4c4",
       "bytes": 812185,
+      "path": "data/internal_test/p89/numina-000158-0001-a7a7f00e8f9f9a7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "a7a7f00e8f9f9a7b403582dfbc6663fd0d2424da9d6b2a68bda53c4ef565b4c4"
     }
-  ],
-  "proof_ids": [
-    "numina:5a2c767c-0a44-5f31-bcc8-50c0bc507e2b",
-    "numina:70dee911-2d86-56bc-8c39-085b29a02f60",
-    "numina:addd6693-9cef-5341-88d7-647147933199"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000791.lean\",\"f71d225772bc9d62b97d7f947b4f2886237e17baea5ba89616d3a029d5989704\",0,\"Combinatorics_5659\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000792.lean\",\"281e9f5c5bf711599d8dd5861a8c4497333437efa2dafe1dd178c963f26ee541\",0,\"Combinatorics_5659\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000793.lean\",\"436ac17f933d510591ca497dd795b0a2e6a466cebc4e499c87543195af2a9c18\",5,\"combinatorics_23826\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000794.lean\",\"374ff784311ced1ecfd9c68379459643fcc6119a6498327249cfbf605c04b33b\",0,\"algebra_23868\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000159.json b/manifests/batches/numina/000159.json
index c7050591c2aa963ba11f98603ad4e19541b3aebb..a1359158ee4dbb56cbeb71dc21b5a3b0e6e6b1eb 100644
--- a/manifests/batches/numina/000159.json
+++ b/manifests/batches/numina/000159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000159",
   "batch_fingerprint": "46c405ed35a567b4c14f1b5ca44067a01ffc77abe327e4bdb5d23ac9bb006976",
   "evidence": {
@@ -15,40 +14,41 @@
     "transitions": 75,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3968ebc2-4de1-5b92-8005-544540d2c10c",
+    "numina:62bff8be-5f75-57f2-9534-daadd554ee30",
+    "numina:a5264b8d-8eca-58db-8a7e-f4419f80dc6f",
+    "numina:d8790b10-927d-547c-9952-3f2304fd3385"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000795.lean\",\"4f05a7b550e515c2102d809742161272f3124ca4a784f62a6c3ab73f53c84d98\",0,\"number_theory_23903\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000796.lean\",\"45e07846979a102109c9dbf5dad654fb8c59c345e9529bb8428d8084cc6b1a5b\",8,\"other_23904\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000797.lean\",\"4d142c8b536c13b717a0bd345baae49f750cba3098acd5ccc2e4f0b0d3a0c3b2\",0,\"algebra_23905\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000798.lean\",\"0dfe9f0c6441a20ae8fc4e87bf8d9c988d9cf89aba158ba3f39be36ef6078c2a\",0,\"other_23925\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000799.lean\",\"0dfe9f0c6441a20ae8fc4e87bf8d9c988d9cf89aba158ba3f39be36ef6078c2a\",0,\"other_23925\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000159-0000-36618896106691f1.parquet",
-      "sha256": "36618896106691f1d3990498484b5c8f20aea8d0ec38a0acf6c7f5028c928163",
       "bytes": 593621,
+      "path": "data/train/p7d/numina-000159-0000-36618896106691f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 51,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "36618896106691f1d3990498484b5c8f20aea8d0ec38a0acf6c7f5028c928163"
     },
     {
-      "path": "data/train/numina-000159-0001-0304394da58ec2db.parquet",
-      "sha256": "0304394da58ec2db9cc81e79b6ffd035cad042129b784e7d19130248f97c2bc0",
       "bytes": 237122,
+      "path": "data/train/p7d/numina-000159-0001-0304394da58ec2db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "0304394da58ec2db9cc81e79b6ffd035cad042129b784e7d19130248f97c2bc0"
     },
     {
-      "path": "data/internal_test/numina-000159-0000-9d5a3bbae33bc468.parquet",
-      "sha256": "9d5a3bbae33bc468c1571be5a387e378cb8c4e77b40a483f11bcf8217df52437",
       "bytes": 417976,
+      "path": "data/internal_test/p7d/numina-000159-0000-9d5a3bbae33bc468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "1cee1424acced2f6e5a98e66cf72ac94ce777314"
+      "sha256": "9d5a3bbae33bc468c1571be5a387e378cb8c4e77b40a483f11bcf8217df52437"
     }
-  ],
-  "proof_ids": [
-    "numina:3968ebc2-4de1-5b92-8005-544540d2c10c",
-    "numina:62bff8be-5f75-57f2-9534-daadd554ee30",
-    "numina:a5264b8d-8eca-58db-8a7e-f4419f80dc6f",
-    "numina:d8790b10-927d-547c-9952-3f2304fd3385"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000795.lean\",\"4f05a7b550e515c2102d809742161272f3124ca4a784f62a6c3ab73f53c84d98\",0,\"number_theory_23903\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000796.lean\",\"45e07846979a102109c9dbf5dad654fb8c59c345e9529bb8428d8084cc6b1a5b\",8,\"other_23904\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000797.lean\",\"4d142c8b536c13b717a0bd345baae49f750cba3098acd5ccc2e4f0b0d3a0c3b2\",0,\"algebra_23905\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000798.lean\",\"0dfe9f0c6441a20ae8fc4e87bf8d9c988d9cf89aba158ba3f39be36ef6078c2a\",0,\"other_23925\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000799.lean\",\"0dfe9f0c6441a20ae8fc4e87bf8d9c988d9cf89aba158ba3f39be36ef6078c2a\",0,\"other_23925\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000160.json b/manifests/batches/numina/000160.json
index 9edb5534694242b9f114a8889d0b3404423feb50..0df75e0663b2f5ef02892e03856adeb6a8974630 100644
--- a/manifests/batches/numina/000160.json
+++ b/manifests/batches/numina/000160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000160",
   "batch_fingerprint": "5e39f69a29d9547d13de5b12a3ccfdd445566236d491aef37c1de6aeb799dead",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 62,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:01152158-3321-54a1-845c-af957b6a3927",
+    "numina:18762c45-5369-5b38-bb1a-98d0f14e9209",
+    "numina:1e7e5ee0-cf0d-5d8c-b1ea-771fbc5117b2",
+    "numina:569fb5d7-2c57-5044-847b-5c4fee20f7b1",
+    "numina:94400678-c130-5c1a-9e6f-0d9547ab74a7"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000800.lean\",\"4e3dce625211e97d6ee23d2bfccb04e102923243aeeb66fe85527d0ae8091588\",6,\"algebra_23929\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000801.lean\",\"69d8ccd1e8cd9e2134ae33ed1c0cd1e2a17b60be7abf738c66980721169f6fc5\",0,\"other_23942\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000802.lean\",\"075fa543ae7fc7fa08f7ef6bd2305f9e2a2df7f0909609b1d4a38824756940a6\",3,\"other_23948\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000803.lean\",\"b339e40d9e90afa3a582bb6fc287b67594539bca75b3ff996fbb7d65b3ee9217\",0,\"algebra_24010\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000804.lean\",\"0dc24033cc2c16b66796c2dea343e9e24226d39c5b51b62e84286a867158fa77\",0,\"combinatorics_24012\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000160-0000-6443672fc4d0919c.parquet",
-      "sha256": "6443672fc4d0919c1db00e6ff9c9f589164854fffd7269008dd139a57a936624",
       "bytes": 904419,
+      "path": "data/train/p74/numina-000160-0000-6443672fc4d0919c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "6443672fc4d0919c1db00e6ff9c9f589164854fffd7269008dd139a57a936624"
     },
     {
-      "path": "data/train/numina-000160-0001-59106e2399660d82.parquet",
-      "sha256": "59106e2399660d82213898720e776286ef47fc6b0b462dd64c08e402bf311c08",
       "bytes": 534308,
+      "path": "data/train/p74/numina-000160-0001-59106e2399660d82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 37,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "59106e2399660d82213898720e776286ef47fc6b0b462dd64c08e402bf311c08"
     },
     {
-      "path": "data/train/numina-000160-0002-ccf14a8b74864e12.parquet",
-      "sha256": "ccf14a8b74864e124f942f42e4f617926c9e054b2d6f923b97f3240f79f62133",
       "bytes": 230865,
+      "path": "data/train/p74/numina-000160-0002-ccf14a8b74864e12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "ccf14a8b74864e124f942f42e4f617926c9e054b2d6f923b97f3240f79f62133"
     },
     {
-      "path": "data/internal_test/numina-000160-0000-e6d49eef9bfc07f6.parquet",
-      "sha256": "e6d49eef9bfc07f6996c05672be1a5f57d8c8d647b9e46a68359fa726848d0ef",
       "bytes": 242334,
+      "path": "data/internal_test/p74/numina-000160-0000-e6d49eef9bfc07f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "e6d49eef9bfc07f6996c05672be1a5f57d8c8d647b9e46a68359fa726848d0ef"
     }
-  ],
-  "proof_ids": [
-    "numina:01152158-3321-54a1-845c-af957b6a3927",
-    "numina:18762c45-5369-5b38-bb1a-98d0f14e9209",
-    "numina:1e7e5ee0-cf0d-5d8c-b1ea-771fbc5117b2",
-    "numina:569fb5d7-2c57-5044-847b-5c4fee20f7b1",
-    "numina:94400678-c130-5c1a-9e6f-0d9547ab74a7"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000800.lean\",\"4e3dce625211e97d6ee23d2bfccb04e102923243aeeb66fe85527d0ae8091588\",6,\"algebra_23929\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000801.lean\",\"69d8ccd1e8cd9e2134ae33ed1c0cd1e2a17b60be7abf738c66980721169f6fc5\",0,\"other_23942\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000802.lean\",\"075fa543ae7fc7fa08f7ef6bd2305f9e2a2df7f0909609b1d4a38824756940a6\",3,\"other_23948\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000803.lean\",\"b339e40d9e90afa3a582bb6fc287b67594539bca75b3ff996fbb7d65b3ee9217\",0,\"algebra_24010\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000804.lean\",\"0dc24033cc2c16b66796c2dea343e9e24226d39c5b51b62e84286a867158fa77\",0,\"combinatorics_24012\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000161.json b/manifests/batches/numina/000161.json
index 8775e739f197f702659cb8f9ccbdc69d4d7b73cc..88278af17d9c731633a8caadfc218dbcb761a0ce 100644
--- a/manifests/batches/numina/000161.json
+++ b/manifests/batches/numina/000161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000161",
   "batch_fingerprint": "4d78ed679e3dc731e4923709e6edc11a57bc9c104f209f9d5931d29cb52d60e4",
   "evidence": {
@@ -34,39 +33,40 @@
     "transitions": 71,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:6a023b19-0c3c-52b3-a0d4-148eecfa5f95",
+    "numina:8522d02b-1e10-5eaf-a949-304fc0f8c224",
+    "numina:b4018ac1-1683-5d8b-96dc-a9986f26073c",
+    "numina:bb26df36-57e8-56c7-99a1-489c48a2793b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000805.lean\",\"b214b56726414ac8306fff2ca16eec18fc5a5740fe6ff6e954e3efbc32d1d893\",0,\"number_theory_24021\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000807.lean\",\"4cbee95b456d98fd069b9bca982072ac6115114b614066b244197d7e3da0fd53\",0,\"number_theory_24044\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000808.lean\",\"ebff7dd2d33eccbb31d2ebf2c202cd2e6fc193186406e113dcd4644e9448c0af\",0,\"algebra_24054\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000809.lean\",\"6e705a735717b32ff7d1cdf27a11bb54e26b73bee7cc176fd321adf08cb30e11\",2,\"algebra_24068\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000161-0000-5790fb21f6159b43.parquet",
-      "sha256": "5790fb21f6159b43f4cfcc61b09fd8c5e57b46b9504e0603416886d509d03ff8",
       "bytes": 673304,
+      "path": "data/train/p8e/numina-000161-0000-5790fb21f6159b43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 57,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "5790fb21f6159b43f4cfcc61b09fd8c5e57b46b9504e0603416886d509d03ff8"
     },
     {
-      "path": "data/train/numina-000161-0001-fbe2d0ca2431721d.parquet",
-      "sha256": "fbe2d0ca2431721dd0742554622ba45782a818a2a36db287a8dafd0bab58555a",
       "bytes": 321944,
+      "path": "data/train/p8e/numina-000161-0001-fbe2d0ca2431721d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "fbe2d0ca2431721dd0742554622ba45782a818a2a36db287a8dafd0bab58555a"
     },
     {
-      "path": "data/internal_test/numina-000161-0000-aa8743739fe0b42f.parquet",
-      "sha256": "aa8743739fe0b42f31f9f74aff14c8901d9f9135c0901e64f8dcd8232143d960",
       "bytes": 39985,
+      "path": "data/internal_test/p8e/numina-000161-0000-aa8743739fe0b42f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "aa8743739fe0b42f31f9f74aff14c8901d9f9135c0901e64f8dcd8232143d960"
     }
-  ],
-  "proof_ids": [
-    "numina:6a023b19-0c3c-52b3-a0d4-148eecfa5f95",
-    "numina:8522d02b-1e10-5eaf-a949-304fc0f8c224",
-    "numina:b4018ac1-1683-5d8b-96dc-a9986f26073c",
-    "numina:bb26df36-57e8-56c7-99a1-489c48a2793b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000805.lean\",\"b214b56726414ac8306fff2ca16eec18fc5a5740fe6ff6e954e3efbc32d1d893\",0,\"number_theory_24021\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000807.lean\",\"4cbee95b456d98fd069b9bca982072ac6115114b614066b244197d7e3da0fd53\",0,\"number_theory_24044\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000808.lean\",\"ebff7dd2d33eccbb31d2ebf2c202cd2e6fc193186406e113dcd4644e9448c0af\",0,\"algebra_24054\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000809.lean\",\"6e705a735717b32ff7d1cdf27a11bb54e26b73bee7cc176fd321adf08cb30e11\",2,\"algebra_24068\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000162.json b/manifests/batches/numina/000162.json
index cf8ce2c5801fd1bbd6b286c27cd062bba9738cab..db6f33e0f9f10b39363ddb90339b76ae1346ce5a 100644
--- a/manifests/batches/numina/000162.json
+++ b/manifests/batches/numina/000162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000162",
   "batch_fingerprint": "0b64ef9d8516afb6b317ef5579abf92592e6cadf939e9de0489b008a2e7ca940",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 55,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000162-0000-595d87145fb5bf9f.parquet",
-      "sha256": "595d87145fb5bf9f484f3b04f294f109791961d6e302647cc4c60de2f7937823",
-      "bytes": 681434,
-      "rows": 53,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000162-0001-66cab4badee72505.parquet",
-      "sha256": "66cab4badee72505a5630af49f07f8a8de90bc3c8c1c84907b5fdd88a2be8d2f",
-      "bytes": 103697,
-      "rows": 2,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57d3bfa8-091e-58d7-b2ec-0efdd008ab6c",
     "numina:90dce008-e677-5dab-a4ed-a6835bea86fd",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000811.lean\",\"36526788038e52becd34145bc6eae86d0697b1898bb317ffc6a4134fa89eeedd\",0,\"number_theory_24103\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000812.lean\",\"4ea45019c4380274e4f44e3963dc0771ce0cfcdbb92c0886ec22cef576a3da35\",2,\"algebra_24106\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000813.lean\",\"98ce39f40b6c63cf33f65e00ccbaef5968b56efb1879d3276e03e9b90499ad64\",8,\"inequalities_24109\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 681434,
+      "path": "data/train/p1b/numina-000162-0000-595d87145fb5bf9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "595d87145fb5bf9f484f3b04f294f109791961d6e302647cc4c60de2f7937823"
+    },
+    {
+      "bytes": 103697,
+      "path": "data/train/p1b/numina-000162-0001-66cab4badee72505.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66cab4badee72505a5630af49f07f8a8de90bc3c8c1c84907b5fdd88a2be8d2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000163.json b/manifests/batches/numina/000163.json
index 879dbe0266809943e059c3aead10af19da04406a..041f52a5077fac10301b70e1e8bdc3037cf1be67 100644
--- a/manifests/batches/numina/000163.json
+++ b/manifests/batches/numina/000163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000163",
   "batch_fingerprint": "2b91710a573ec43e352f7b8d457949b3647b5f9435c044662aac9ef59794293a",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 101,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:5cc674e5-b3f2-5b50-98da-c03f86fbfd56",
+    "numina:88ee7985-2eb6-5793-89f6-85818f9ec7e6",
+    "numina:a623dfad-2098-57a6-b699-3ac1de818bb9",
+    "numina:cc488605-6756-5071-9c40-b178afd33fe5",
+    "numina:f8ca1321-fbae-5fb7-af24-674bc75678fc"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000815.lean\",\"73f4a2ee9ec78ec2f32557fceb65fe32e3a8774d90263109cccd538b3e2dc437\",0,\"algebra_24138\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000816.lean\",\"a82350512fe2099d38d2be1a9e728d653c91ba3b39385f98220cb9dcb904876c\",1,\"A2_a\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000817.lean\",\"93e83101390820fd70af696f453844fa79cb05a29daa263614358cd4dd0e12ee\",0,\"number_theory_24148\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000818.lean\",\"abf092f66617d718850c00f05666692623ac9e1b97149ec2cfcf78f218afb80c\",5,\"number_theory_24177\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000819.lean\",\"717c93f306b8a5f64678cfe3cc967abb5f91a35764c03c4041b105c8ed634ec2\",0,\"algebra_24204\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000163-0000-6daca7cb5db75cc4.parquet",
-      "sha256": "6daca7cb5db75cc4d52f7084d8074b62d045cd745ad7e109bfd4abcff944779f",
       "bytes": 584925,
+      "path": "data/train/p44/numina-000163-0000-6daca7cb5db75cc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "6daca7cb5db75cc4d52f7084d8074b62d045cd745ad7e109bfd4abcff944779f"
     },
     {
-      "path": "data/train/numina-000163-0001-d018b1c5822a6f3e.parquet",
-      "sha256": "d018b1c5822a6f3e4e69e4d9792e0455055e0a8eb633bce29f73a61a15167d0a",
       "bytes": 578417,
+      "path": "data/train/p44/numina-000163-0001-d018b1c5822a6f3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 26,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "d018b1c5822a6f3e4e69e4d9792e0455055e0a8eb633bce29f73a61a15167d0a"
     },
     {
-      "path": "data/internal_test/numina-000163-0000-bc741c12f882fd2f.parquet",
-      "sha256": "bc741c12f882fd2f952ba2bcbbdf22949bea4db5a0bf1e321014ecfd5e20e62b",
       "bytes": 602027,
+      "path": "data/internal_test/p44/numina-000163-0000-bc741c12f882fd2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 68,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "bc741c12f882fd2f952ba2bcbbdf22949bea4db5a0bf1e321014ecfd5e20e62b"
     },
     {
-      "path": "data/internal_test/numina-000163-0001-7b607c34675e93b5.parquet",
-      "sha256": "7b607c34675e93b5739fec0ddd47c67e433b331553f175d325cd54cd944a24c1",
       "bytes": 223781,
+      "path": "data/internal_test/p44/numina-000163-0001-7b607c34675e93b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "7b607c34675e93b5739fec0ddd47c67e433b331553f175d325cd54cd944a24c1"
     }
-  ],
-  "proof_ids": [
-    "numina:5cc674e5-b3f2-5b50-98da-c03f86fbfd56",
-    "numina:88ee7985-2eb6-5793-89f6-85818f9ec7e6",
-    "numina:a623dfad-2098-57a6-b699-3ac1de818bb9",
-    "numina:cc488605-6756-5071-9c40-b178afd33fe5",
-    "numina:f8ca1321-fbae-5fb7-af24-674bc75678fc"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000815.lean\",\"73f4a2ee9ec78ec2f32557fceb65fe32e3a8774d90263109cccd538b3e2dc437\",0,\"algebra_24138\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000816.lean\",\"a82350512fe2099d38d2be1a9e728d653c91ba3b39385f98220cb9dcb904876c\",1,\"A2_a\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000817.lean\",\"93e83101390820fd70af696f453844fa79cb05a29daa263614358cd4dd0e12ee\",0,\"number_theory_24148\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000818.lean\",\"abf092f66617d718850c00f05666692623ac9e1b97149ec2cfcf78f218afb80c\",5,\"number_theory_24177\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000819.lean\",\"717c93f306b8a5f64678cfe3cc967abb5f91a35764c03c4041b105c8ed634ec2\",0,\"algebra_24204\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000164.json b/manifests/batches/numina/000164.json
index 081d59261745e4300a66b2e9036f72ba9cffd0db..1283e79e0430d1fb9b4032123e066f4046ae6267 100644
--- a/manifests/batches/numina/000164.json
+++ b/manifests/batches/numina/000164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000164",
   "batch_fingerprint": "3e741c24de64308e2c5c930534761089372e7e9f350d46f6fde5b3347d24567c",
   "evidence": {
@@ -34,39 +33,40 @@
     "transitions": 47,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:9d8963bb-5848-5a24-b567-3a7e7679cfec",
+    "numina:a3ab6a51-85a9-5517-a38b-24200da0cfae",
+    "numina:db4303f4-a36e-539d-b28c-e1825a899009",
+    "numina:f00140b2-b729-5390-9f25-3f3ae3206e19"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000820.lean\",\"52fbea00a3cfdd886a90c1c23d5bb4b898335f3fcc2e204dabbb2dd6f1fc7ada\",0,\"N1\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000821.lean\",\"6c68bdf0d83e2ffe2b1a4707afe7756e9952e47e559da9b51d133c9b85ca33c8\",1,\"number_theorey_4\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000823.lean\",\"36fc88efe3ad843b1f4341f1e4ee648a91e450d3a01eefc3c21796be2ddf5a2d\",3,\"number_theory_24236\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000824.lean\",\"d80b6385822d2222d2a92b834e61e316ba667eed7802e9dbdafdd5bf5e509130\",0,\"other_24247\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000164-0000-329115e19d13a79a.parquet",
-      "sha256": "329115e19d13a79a4f3355f50648fe93681e46759b8508572ba31ba0d6ccc8a8",
       "bytes": 642087,
+      "path": "data/train/p70/numina-000164-0000-329115e19d13a79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "329115e19d13a79a4f3355f50648fe93681e46759b8508572ba31ba0d6ccc8a8"
     },
     {
-      "path": "data/train/numina-000164-0001-0d1119e1a3ecca85.parquet",
-      "sha256": "0d1119e1a3ecca85e3f33933c552f1c012301002023a01d319a8409f290deff0",
       "bytes": 344080,
+      "path": "data/train/p70/numina-000164-0001-0d1119e1a3ecca85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "0d1119e1a3ecca85e3f33933c552f1c012301002023a01d319a8409f290deff0"
     },
     {
-      "path": "data/dev/numina-000164-0000-039a2a99b5628d26.parquet",
-      "sha256": "039a2a99b5628d2640e1a2dacd042619b560c2b084a6592e386ff4f140d0a189",
       "bytes": 93187,
+      "path": "data/dev/p70/numina-000164-0000-039a2a99b5628d26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "039a2a99b5628d2640e1a2dacd042619b560c2b084a6592e386ff4f140d0a189"
     }
-  ],
-  "proof_ids": [
-    "numina:9d8963bb-5848-5a24-b567-3a7e7679cfec",
-    "numina:a3ab6a51-85a9-5517-a38b-24200da0cfae",
-    "numina:db4303f4-a36e-539d-b28c-e1825a899009",
-    "numina:f00140b2-b729-5390-9f25-3f3ae3206e19"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000820.lean\",\"52fbea00a3cfdd886a90c1c23d5bb4b898335f3fcc2e204dabbb2dd6f1fc7ada\",0,\"N1\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000821.lean\",\"6c68bdf0d83e2ffe2b1a4707afe7756e9952e47e559da9b51d133c9b85ca33c8\",1,\"number_theorey_4\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000823.lean\",\"36fc88efe3ad843b1f4341f1e4ee648a91e450d3a01eefc3c21796be2ddf5a2d\",3,\"number_theory_24236\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000824.lean\",\"d80b6385822d2222d2a92b834e61e316ba667eed7802e9dbdafdd5bf5e509130\",0,\"other_24247\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000165.json b/manifests/batches/numina/000165.json
index 1ec12747e12aea2e2ef8c4cca99192d6e036eaa9..0bd44259af379e07d2123b256ff957bdd57b5825 100644
--- a/manifests/batches/numina/000165.json
+++ b/manifests/batches/numina/000165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000165",
   "batch_fingerprint": "6f3a706a76ade2b346a5826b8c187b6c7de158f181a7c6c9aca7d7e4ff1dd324",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 70,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000165-0000-d33503181dcd442d.parquet",
-      "sha256": "d33503181dcd442dbbadecd8171d38ece9431bd1794b18375dc9c854ffd821fb",
-      "bytes": 655734,
-      "rows": 60,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000165-0001-cea12f94c326593b.parquet",
-      "sha256": "cea12f94c326593bb1b5d890653d7e2c19ac82a9061eab4ec1ac71b90d575229",
-      "bytes": 222057,
-      "rows": 10,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ce82997-869e-50c0-924c-a119d5b78a7b",
     "numina:0ed2437b-29cb-5694-b71a-e14334e4e026",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000827.lean\",\"d79ffcd93cebe662fd5112a494bb9a2da999b79dc53dad6a876de1a0fbf1f32b\",0,\"inequalities_24305\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000828.lean\",\"c5ac38ada05f33876918afc8db4c004849c0184ad114e1969f905e835f9bd9df\",5,\"number_theory_24349\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000829.lean\",\"75889077c80cd0d9e4d2216459bedffafdb95f69988644d143708068027943be\",2,\"algebra_24360\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 655734,
+      "path": "data/train/pba/numina-000165-0000-d33503181dcd442d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "d33503181dcd442dbbadecd8171d38ece9431bd1794b18375dc9c854ffd821fb"
+    },
+    {
+      "bytes": 222057,
+      "path": "data/train/pba/numina-000165-0001-cea12f94c326593b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cea12f94c326593bb1b5d890653d7e2c19ac82a9061eab4ec1ac71b90d575229"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000166.json b/manifests/batches/numina/000166.json
index bdc38d6f5715b20c6c857abcd87ac2b2df28bcd0..b618ffaefc6585630a84626c24f6889f514dcb4e 100644
--- a/manifests/batches/numina/000166.json
+++ b/manifests/batches/numina/000166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000166",
   "batch_fingerprint": "26d12a4a4aac43f3de6b69dbd6c6578542ce11f24e82c58ec8c82fbd81fc9535",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 68,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000166-0000-d2c4e81627b728a8.parquet",
-      "sha256": "d2c4e81627b728a8c2aa2394c73b095aff92177b4f481e165de1431572070627",
-      "bytes": 601291,
-      "rows": 58,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000166-0001-195bc2b1e442b534.parquet",
-      "sha256": "195bc2b1e442b53463e5607fd1e17987b3a7f155d57a6f9b3b1a12f6d1747826",
-      "bytes": 182522,
-      "rows": 10,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63aee327-71e6-547e-a4b9-bdb3e9dae6bc",
     "numina:72262a8f-e700-564a-aba9-7539f9da6db7",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000832.lean\",\"425a8f744fa21702c0833417ab55950f615e92867b21feaade43e93f076cfbfe\",15,\"number_theory_24463\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000833.lean\",\"dbc7f2513f06a0703e5065b65af19eee3893201d29e5e2b4665fad27b9dfdfd3\",0,\"algebra_24473\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000834.lean\",\"15a649d3248fb87ea9c4ef9fb63e85c13fa2a08acffbfd53f71c106b2dcdb6e5\",0,\"other_24486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601291,
+      "path": "data/train/p54/numina-000166-0000-d2c4e81627b728a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "d2c4e81627b728a8c2aa2394c73b095aff92177b4f481e165de1431572070627"
+    },
+    {
+      "bytes": 182522,
+      "path": "data/train/p54/numina-000166-0001-195bc2b1e442b534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "195bc2b1e442b53463e5607fd1e17987b3a7f155d57a6f9b3b1a12f6d1747826"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000167.json b/manifests/batches/numina/000167.json
index c5aa2546418aa55057c025efd41d255b1039227f..53fc621e4defc41dbf8baac2b3eba45c3ac378d3 100644
--- a/manifests/batches/numina/000167.json
+++ b/manifests/batches/numina/000167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000167",
   "batch_fingerprint": "f4e4145497dae2e447e903c2d4514dc27167f8633ffd8572d7409ca0d48167e6",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 122,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000167-0000-ba89a2b373815a25.parquet",
-      "sha256": "ba89a2b373815a251e2733e3b816c7ce9465ad30f3c3df9c0f96c19a21fa84d1",
-      "bytes": 656375,
-      "rows": 73,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000167-0001-55d58571bfadd581.parquet",
-      "sha256": "55d58571bfadd581a721be6c137e6ddccf2b029abfc3f102d5575c44bdf2f626",
-      "bytes": 866337,
-      "rows": 40,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000167-0002-5c64c166260a76d2.parquet",
-      "sha256": "5c64c166260a76d23d2c4907dea776b52d0502bc4c1b84d3ca4a7535b5cb438b",
-      "bytes": 99716,
-      "rows": 9,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7b19061b-cdac-51b6-83db-c38805bb8852",
     "numina:a940b0c8-3499-5d3a-bf08-4c33c38622d9",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000837.lean\",\"e32f8704c59086e082d5d9f6d05cda73f8495bbc1eaf2fec4cd2b3bb28b0fd74\",0,\"number_theory_24542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000838.lean\",\"aa5cb9f6ddbdc87dc8faeceba29bcf39d7f6f2b094c4682a3b0e9ea2ce1cb99e\",1,\"Other_24556\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000839.lean\",\"4a335b488e32eac646a0c85bd2a2ee6c55530f1e30ccf9e62d645ba193abd5b4\",0,\"algebra_24562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 656375,
+      "path": "data/train/p58/numina-000167-0000-ba89a2b373815a25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "ba89a2b373815a251e2733e3b816c7ce9465ad30f3c3df9c0f96c19a21fa84d1"
+    },
+    {
+      "bytes": 866337,
+      "path": "data/train/p58/numina-000167-0001-55d58571bfadd581.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "55d58571bfadd581a721be6c137e6ddccf2b029abfc3f102d5575c44bdf2f626"
+    },
+    {
+      "bytes": 99716,
+      "path": "data/train/p58/numina-000167-0002-5c64c166260a76d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5c64c166260a76d23d2c4907dea776b52d0502bc4c1b84d3ca4a7535b5cb438b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000168.json b/manifests/batches/numina/000168.json
index ec013f7880eca08fae94f1198998ba208f15084e..f875f1f0f1efc327e0d5daeacfb565c3773505f6 100644
--- a/manifests/batches/numina/000168.json
+++ b/manifests/batches/numina/000168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000168",
   "batch_fingerprint": "d0831bb53152fd6bb7db02b9a393b494df4f39e133334dca5fff6ce95662da5b",
   "evidence": {
@@ -34,39 +33,40 @@
     "transitions": 58,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0824b379-a95f-5598-82c9-6fe10a60a60e",
+    "numina:0df2c23d-c02a-50eb-b41f-82aabe98a196",
+    "numina:3ae83170-b6c0-5d94-aea0-afdc5290ac91",
+    "numina:a6ddbd4f-77b8-597c-b0df-366d7d25bee1"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000841.lean\",\"38d37188d648bbeb0a2c4b716d3712988e7a56b6f9743b36318ae66cbb323892\",0,\"algebra_24569\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000842.lean\",\"b869715ec5ae44dd8bbae074aee7dbb846c28528dfb1ca4f256b6340ea84a4b9\",0,\"inequalities_24572\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000843.lean\",\"7b69fe62b04c638e05f9bfc738d8d19e20b48f485fed48bb67c045b79b9a46cb\",0,\"algebra_24574\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000844.lean\",\"ec6c58a622458be0be41c0f8f8fb7c834ea5ed3edb563e5c9218affa11dc2fb8\",3,\"number_theory_24605\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000168-0000-9304506269fef5c6.parquet",
-      "sha256": "9304506269fef5c690800e853ad64e9a08686515ae6442cdff21ff6d1bcecae3",
       "bytes": 560782,
+      "path": "data/train/p7e/numina-000168-0000-9304506269fef5c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "9304506269fef5c690800e853ad64e9a08686515ae6442cdff21ff6d1bcecae3"
     },
     {
-      "path": "data/train/numina-000168-0001-6785a35f177044a6.parquet",
-      "sha256": "6785a35f177044a672ffecdab0a250c45f7632c5c86ee261c6e69eb376c439f8",
       "bytes": 658428,
+      "path": "data/train/p7e/numina-000168-0001-6785a35f177044a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "6785a35f177044a672ffecdab0a250c45f7632c5c86ee261c6e69eb376c439f8"
     },
     {
-      "path": "data/train/numina-000168-0002-1f7492affb07ee44.parquet",
-      "sha256": "1f7492affb07ee44676ffeaecd9dd7241f78fea039e39c7f6cba12da79295a69",
       "bytes": 475346,
+      "path": "data/train/p7e/numina-000168-0002-1f7492affb07ee44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "1f7492affb07ee44676ffeaecd9dd7241f78fea039e39c7f6cba12da79295a69"
     }
-  ],
-  "proof_ids": [
-    "numina:0824b379-a95f-5598-82c9-6fe10a60a60e",
-    "numina:0df2c23d-c02a-50eb-b41f-82aabe98a196",
-    "numina:3ae83170-b6c0-5d94-aea0-afdc5290ac91",
-    "numina:a6ddbd4f-77b8-597c-b0df-366d7d25bee1"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000841.lean\",\"38d37188d648bbeb0a2c4b716d3712988e7a56b6f9743b36318ae66cbb323892\",0,\"algebra_24569\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000842.lean\",\"b869715ec5ae44dd8bbae074aee7dbb846c28528dfb1ca4f256b6340ea84a4b9\",0,\"inequalities_24572\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000843.lean\",\"7b69fe62b04c638e05f9bfc738d8d19e20b48f485fed48bb67c045b79b9a46cb\",0,\"algebra_24574\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000844.lean\",\"ec6c58a622458be0be41c0f8f8fb7c834ea5ed3edb563e5c9218affa11dc2fb8\",3,\"number_theory_24605\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000169.json b/manifests/batches/numina/000169.json
index 4923caba234e08cb20ba30881dd25e298726f8b6..8c22114d446955d677e290770b4776d8327cdfa7 100644
--- a/manifests/batches/numina/000169.json
+++ b/manifests/batches/numina/000169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000169",
   "batch_fingerprint": "3654ba3b6f3f8c1a722020c3e75612bf6971d288de9ef7febba936b47f851379",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 25,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000169-0000-844d57f3679505e9.parquet",
-      "sha256": "844d57f3679505e9abc123f829b4799e7fb7580de3a6c919c74312dd0a65585b",
-      "bytes": 394375,
-      "rows": 25,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f4e4114-1ba0-5cf7-be19-8c7d4cc42d7a",
     "numina:24261854-b9a1-5f0b-9139-26f89400c879",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000847.lean\",\"31c6f01dcb70e69f25eb588ed0e2f13d46880f64cbe815d1ab4545424210d039\",0,\"algebra_24668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000848.lean\",\"3557b243ce3d1e1d709fb507e844577ca9b630c3b6196256556816a1af9b5174\",1,\"other_24672_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000849.lean\",\"57f39515c994c3bbd210bdebabdb7c578af1bd3ed607c81bb71a37eafc8a3a8e\",0,\"imo_24677\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394375,
+      "path": "data/train/p23/numina-000169-0000-844d57f3679505e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "844d57f3679505e9abc123f829b4799e7fb7580de3a6c919c74312dd0a65585b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000170.json b/manifests/batches/numina/000170.json
index 17d2013963de8ef4536d7df27034795c26852e65..21be7037b66e0875f8da0f3bffa00795bbb6cf10 100644
--- a/manifests/batches/numina/000170.json
+++ b/manifests/batches/numina/000170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000170",
   "batch_fingerprint": "3ac43135d1788111cbca8b560be58500bd8ee9dd3a2bf50d248930e2b5422e0e",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 65,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000170-0000-b4fb744d7b683f6a.parquet",
-      "sha256": "b4fb744d7b683f6a795240409e287f6ef29768f378d6e762910c7f81ce54748c",
-      "bytes": 592675,
-      "rows": 29,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000170-0001-9f35c747a29d1bed.parquet",
-      "sha256": "9f35c747a29d1bedfd9ab32c41b16fbdb378ed549d6af5f09133886c6c30df68",
-      "bytes": 362320,
-      "rows": 26,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/internal_test/numina-000170-0000-54bca9b322c42613.parquet",
-      "sha256": "54bca9b322c4261335806119ccd33c45a5fad9666b19a5eb42d836c6150f8e54",
-      "bytes": 58988,
-      "rows": 10,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6077fa7f-18f5-579f-b15b-0a03307ec3e2",
     "numina:85243814-4095-5af9-82c2-38265fc4e6aa",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000852.lean\",\"89deb9bae20c8c56ead9c3f2a1b2669caf99945b0e8b9c029ec4a98a4793903f\",4,\"algebra_24703\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000853.lean\",\"f1280ddbb1fd9a98ab08beb1de2eddb29b5dd2924dca6a097137276405c5e5e6\",1,\"imo_24705_b\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000854.lean\",\"ea93c21ff2c7e91692d1d533667f5ed95c47635975bfee0024465f26a2706c42\",2,\"algebra_24710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592675,
+      "path": "data/train/pce/numina-000170-0000-b4fb744d7b683f6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b4fb744d7b683f6a795240409e287f6ef29768f378d6e762910c7f81ce54748c"
+    },
+    {
+      "bytes": 362320,
+      "path": "data/train/pce/numina-000170-0001-9f35c747a29d1bed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "9f35c747a29d1bedfd9ab32c41b16fbdb378ed549d6af5f09133886c6c30df68"
+    },
+    {
+      "bytes": 58988,
+      "path": "data/internal_test/pce/numina-000170-0000-54bca9b322c42613.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "54bca9b322c4261335806119ccd33c45a5fad9666b19a5eb42d836c6150f8e54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000171.json b/manifests/batches/numina/000171.json
index 758de79c715b520ff4354fc52fc42789796fb27d..8540db8f3684ee712a0c4159874d7793761829c3 100644
--- a/manifests/batches/numina/000171.json
+++ b/manifests/batches/numina/000171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000171",
   "batch_fingerprint": "99ff71b147a444bce5ec2139fdd13fc2d537477c942690f6a9d503df8fa5fa8a",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000171-0000-53b79251fc5a9dc5.parquet",
-      "sha256": "53b79251fc5a9dc5815f88966bdbec728b64ae93b2805e450a824640bac43408",
-      "bytes": 516332,
-      "rows": 19,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/dev/numina-000171-0000-95509c281d8fdf59.parquet",
-      "sha256": "95509c281d8fdf59f8d0c5bd111bf8cd50956fddce2493cea1cca8c3957a7891",
-      "bytes": 266300,
-      "rows": 3,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:79fbb675-834d-5421-b1e6-19f07d2b48e1",
     "numina:add7425b-b217-5a09-a9d4-19539f52a3d5",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000856.lean\",\"a234677b35574de3133516f65e36c12cb2daf3ac5b47c98b3ca3fe64ede3197d\",0,\"other_24713\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000857.lean\",\"e331e5090d7341a094f582ba1f68c64cde3042b82b6ab24e53f6512b9dc8ec25\",1,\"algebra_24724_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000859.lean\",\"499e04d176fc8bf7b6d4dcc000bcce862c97a30317e029989951824a8a330016\",0,\"algebra_24735\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 516332,
+      "path": "data/train/p64/numina-000171-0000-53b79251fc5a9dc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "53b79251fc5a9dc5815f88966bdbec728b64ae93b2805e450a824640bac43408"
+    },
+    {
+      "bytes": 266300,
+      "path": "data/dev/p64/numina-000171-0000-95509c281d8fdf59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "95509c281d8fdf59f8d0c5bd111bf8cd50956fddce2493cea1cca8c3957a7891"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000172.json b/manifests/batches/numina/000172.json
index 7cccca7515d361c909a782931427427a5164e52b..6ede198d66c22e3927262764894a433534002dae 100644
--- a/manifests/batches/numina/000172.json
+++ b/manifests/batches/numina/000172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000172",
   "batch_fingerprint": "c09669b7305543b2e6bfe92439242d6bcfd183c1b1ae1760d5c92b81cdbdc7dc",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000172-0000-57b9609c52add368.parquet",
-      "sha256": "57b9609c52add3683c5e338b62bd25bba8e6145e19ba5253a06f5fe18b57f221",
-      "bytes": 592330,
-      "rows": 28,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:70d9edc0-ec6a-5fcb-b619-77c256acb708",
     "numina:93d9cb7c-426d-543e-9db5-a3a1138b2f5a",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000862.lean\",\"2b4c21a35fbfaf67561b0ca4a43767948b016a5fb3d0c9c952d258dfba3be6e3\",4,\"algebra_24753\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000863.lean\",\"c16e4e6284b4ecbba807b6d08eb6cbf9e33a29f16225e7d821b650853148bfca\",1,\"number_theory_24778\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000864.lean\",\"816696a4c5748caa733e5c2c76524319c510eb4b00f424aeef47073ebf24d88a\",0,\"Other_24797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592330,
+      "path": "data/train/p2c/numina-000172-0000-57b9609c52add368.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "57b9609c52add3683c5e338b62bd25bba8e6145e19ba5253a06f5fe18b57f221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000173.json b/manifests/batches/numina/000173.json
index a673274b68e5f68e1c42393a55267473182afb60..55ae559d6b85560e42b112c3044f29f71e580250 100644
--- a/manifests/batches/numina/000173.json
+++ b/manifests/batches/numina/000173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000173",
   "batch_fingerprint": "b64d5100b452e88e867b3622e65f10211854c7634636c9399006eac5c5d3d672",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 56,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000173-0000-e962da32f22a803b.parquet",
-      "sha256": "e962da32f22a803b88511e6cd5829d2573116c9523f7d1930a3e7e7f3613c159",
-      "bytes": 502747,
-      "rows": 33,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000173-0001-45413ca1b429b5a2.parquet",
-      "sha256": "45413ca1b429b5a25a78f69557312802d3e056b0174629a80d1a175cf2503fd2",
-      "bytes": 514719,
-      "rows": 8,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000173-0002-f83c3ed728cec1f3.parquet",
-      "sha256": "f83c3ed728cec1f37319e4b23f9c3177a2b61987e740d53e0fbc09960ffd9c12",
-      "bytes": 455750,
-      "rows": 15,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10b45882-5d73-508b-bfef-938e3e7a0252",
     "numina:4cc1e46c-93f9-5aaa-aaea-49f281ddfd44",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000867.lean\",\"5896025a1828651c5d8c965129067c6eb2eb50775d1facd036a327480b500864\",0,\"inequalities_24843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000868.lean\",\"66743f01c62359ca96ae42293039e584268b694602b1606e7ab8b73ed3d17223\",1,\"Other_24851_b\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000869.lean\",\"6c1c5d7c02eefd084faa186dec5c00d0180d168d90725117cfa2a787b3059ec8\",0,\"algebra_24857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 502747,
+      "path": "data/train/p5a/numina-000173-0000-e962da32f22a803b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e962da32f22a803b88511e6cd5829d2573116c9523f7d1930a3e7e7f3613c159"
+    },
+    {
+      "bytes": 514719,
+      "path": "data/train/p5a/numina-000173-0001-45413ca1b429b5a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "45413ca1b429b5a25a78f69557312802d3e056b0174629a80d1a175cf2503fd2"
+    },
+    {
+      "bytes": 455750,
+      "path": "data/train/p5a/numina-000173-0002-f83c3ed728cec1f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f83c3ed728cec1f37319e4b23f9c3177a2b61987e740d53e0fbc09960ffd9c12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000174.json b/manifests/batches/numina/000174.json
index 691876c74be7cb3ec626269a466de5c5c5b94c0c..c76d5f7c6df8889ea1ffcc9e31cc5bdee763e28f 100644
--- a/manifests/batches/numina/000174.json
+++ b/manifests/batches/numina/000174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000174",
   "batch_fingerprint": "4b52b802770cb08fc43f07e796f96534a785f8bbcfbe2948aa61524b5b04fa7b",
   "evidence": {
@@ -34,46 +33,47 @@
     "transitions": 37,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:8fff0ec9-9c67-5381-8131-0c50c6d8042b",
+    "numina:c9142e41-d44b-5cee-a1b7-2f9c92b8c48d",
+    "numina:d0483a95-5898-5610-9caf-22a7d65b088f",
+    "numina:ef45c76f-d7eb-52d3-b1fe-976ce84c1d01"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000871.lean\",\"5420f532ee60274ce20e61d31f5f242e234554bdd9556b30c3e549984bd35886\",8,\"algebra_24860\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000872.lean\",\"c93699a6cbe8a83f220314aaec3b0f365bd20d93505fffe91f09fbc41b01b98c\",0,\"Other_24861\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000873.lean\",\"5a00abf810c051143ed2cd8e0fd89e32486e828158e32017680d0f39b67b254f\",0,\"other_24864\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000874.lean\",\"1888593b8dff416931de59779fdc9a6a349cfa2c7b51de62dc101ca28761d3a2\",1,\"inequalities_24885\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000174-0000-8ecb17de9685ad8e.parquet",
-      "sha256": "8ecb17de9685ad8eb302902db540d0e6c80cda16291336add71c504dab640685",
       "bytes": 374705,
+      "path": "data/train/p32/numina-000174-0000-8ecb17de9685ad8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "8ecb17de9685ad8eb302902db540d0e6c80cda16291336add71c504dab640685"
     },
     {
-      "path": "data/train/numina-000174-0001-76ae44f55f2eba6c.parquet",
-      "sha256": "76ae44f55f2eba6c05c8c5fa034e703d9f0b773ae162b625de04bcc2329e4d47",
       "bytes": 1015905,
+      "path": "data/train/p32/numina-000174-0001-76ae44f55f2eba6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "76ae44f55f2eba6c05c8c5fa034e703d9f0b773ae162b625de04bcc2329e4d47"
     },
     {
-      "path": "data/train/numina-000174-0002-13c6ba04c8fc64e3.parquet",
-      "sha256": "13c6ba04c8fc64e38b15ab949fbaec885db041b917e9edc10cbeddca235196da",
       "bytes": 149046,
+      "path": "data/train/p32/numina-000174-0002-13c6ba04c8fc64e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "13c6ba04c8fc64e38b15ab949fbaec885db041b917e9edc10cbeddca235196da"
     },
     {
-      "path": "data/internal_test/numina-000174-0000-94342e831779c6ed.parquet",
-      "sha256": "94342e831779c6ed35c3ef55b0528681ba4c96ab181df76f5417e765330db83f",
       "bytes": 209001,
+      "path": "data/internal_test/p32/numina-000174-0000-94342e831779c6ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "94342e831779c6ed35c3ef55b0528681ba4c96ab181df76f5417e765330db83f"
     }
-  ],
-  "proof_ids": [
-    "numina:8fff0ec9-9c67-5381-8131-0c50c6d8042b",
-    "numina:c9142e41-d44b-5cee-a1b7-2f9c92b8c48d",
-    "numina:d0483a95-5898-5610-9caf-22a7d65b088f",
-    "numina:ef45c76f-d7eb-52d3-b1fe-976ce84c1d01"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000871.lean\",\"5420f532ee60274ce20e61d31f5f242e234554bdd9556b30c3e549984bd35886\",8,\"algebra_24860\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000872.lean\",\"c93699a6cbe8a83f220314aaec3b0f365bd20d93505fffe91f09fbc41b01b98c\",0,\"Other_24861\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000873.lean\",\"5a00abf810c051143ed2cd8e0fd89e32486e828158e32017680d0f39b67b254f\",0,\"other_24864\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000874.lean\",\"1888593b8dff416931de59779fdc9a6a349cfa2c7b51de62dc101ca28761d3a2\",1,\"inequalities_24885\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000175.json b/manifests/batches/numina/000175.json
index c372302beb59831bed28124365e823f2fd2dd00b..787fa7a63a0addf1c05adae1ae3d8f7dffad081a 100644
--- a/manifests/batches/numina/000175.json
+++ b/manifests/batches/numina/000175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000175",
   "batch_fingerprint": "dab902f1b6391968914afcb1da7f63b04d0b3c5b72174c3714bb614c632582f8",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 78,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0741b8a0-b65b-53b3-acd9-eb06285def7d",
+    "numina:0b5ea90d-5192-58c4-b0d2-7032c3ef1ff3",
+    "numina:130492f3-d9f0-5737-bbf3-f041409f9808",
+    "numina:40dbef6c-8d96-56e4-81a6-6376d20ecaf8",
+    "numina:f77af781-4c77-5ab2-b907-c3f4ad98ba76"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000875.lean\",\"8d700725b512ce562cfc9ade4991094a107cab115d42b635052bd1f4e5f7b824\",7,\"inequalities_24904\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000876.lean\",\"26d50727c90c264c4a1ff86f197c0f656aabb907e7c22d1fcd745e017ef4fc76\",0,\"algebra_24917\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000877.lean\",\"6d717edadaf77c7a53bea2199c1d44c63c0903b91f777a8cfd4d72ea4a47353f\",12,\"algebra_24920\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000878.lean\",\"039b89c55ff82716aacb8b01ef520e202c84ce81beee226f83bc2e70c5fd6ab0\",0,\"other_24922\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000879.lean\",\"71e6c02f9630bd2ec777356beef06d3987d95e4a3f82e1576240f51c4a43128e\",0,\"inequalities_24941\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000175-0000-08cbcff8710a6af7.parquet",
-      "sha256": "08cbcff8710a6af760567e4b831c71504b57d02131979dc43d8193236c5feedc",
       "bytes": 532523,
+      "path": "data/train/p55/numina-000175-0000-08cbcff8710a6af7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 48,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "08cbcff8710a6af760567e4b831c71504b57d02131979dc43d8193236c5feedc"
     },
     {
-      "path": "data/internal_test/numina-000175-0000-d905f2d78f7753c6.parquet",
-      "sha256": "d905f2d78f7753c6a7ff17b50c3c5eef87699dbe6b369fb2e88833f21023d2e3",
       "bytes": 747691,
+      "path": "data/internal_test/p55/numina-000175-0000-d905f2d78f7753c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "d905f2d78f7753c6a7ff17b50c3c5eef87699dbe6b369fb2e88833f21023d2e3"
     },
     {
-      "path": "data/internal_test/numina-000175-0001-0bf4c3781ca929db.parquet",
-      "sha256": "0bf4c3781ca929dba6bd66ee9dd9c117b71381d501751b1ccca5042ba73b7924",
       "bytes": 1700665,
+      "path": "data/internal_test/p55/numina-000175-0001-0bf4c3781ca929db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "0bf4c3781ca929dba6bd66ee9dd9c117b71381d501751b1ccca5042ba73b7924"
     },
     {
-      "path": "data/internal_test/numina-000175-0002-62886777dba0103d.parquet",
-      "sha256": "62886777dba0103da751eb0a55c5afda6b70ef88b073189bc915995d2934fc2e",
       "bytes": 315344,
+      "path": "data/internal_test/p55/numina-000175-0002-62886777dba0103d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "62886777dba0103da751eb0a55c5afda6b70ef88b073189bc915995d2934fc2e"
     }
-  ],
-  "proof_ids": [
-    "numina:0741b8a0-b65b-53b3-acd9-eb06285def7d",
-    "numina:0b5ea90d-5192-58c4-b0d2-7032c3ef1ff3",
-    "numina:130492f3-d9f0-5737-bbf3-f041409f9808",
-    "numina:40dbef6c-8d96-56e4-81a6-6376d20ecaf8",
-    "numina:f77af781-4c77-5ab2-b907-c3f4ad98ba76"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000875.lean\",\"8d700725b512ce562cfc9ade4991094a107cab115d42b635052bd1f4e5f7b824\",7,\"inequalities_24904\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000876.lean\",\"26d50727c90c264c4a1ff86f197c0f656aabb907e7c22d1fcd745e017ef4fc76\",0,\"algebra_24917\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000877.lean\",\"6d717edadaf77c7a53bea2199c1d44c63c0903b91f777a8cfd4d72ea4a47353f\",12,\"algebra_24920\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000878.lean\",\"039b89c55ff82716aacb8b01ef520e202c84ce81beee226f83bc2e70c5fd6ab0\",0,\"other_24922\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000879.lean\",\"71e6c02f9630bd2ec777356beef06d3987d95e4a3f82e1576240f51c4a43128e\",0,\"inequalities_24941\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000176.json b/manifests/batches/numina/000176.json
index a23bc55fcc573d1ecf1cb0c2c79e1bf82143ea0c..d1d0c52141fd94fcb17f2311df56813b70c10542 100644
--- a/manifests/batches/numina/000176.json
+++ b/manifests/batches/numina/000176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000176",
   "batch_fingerprint": "17c690508cec00a20abb974066b76ddba17deb01c3edaf2eb68606224f75579b",
   "evidence": {
@@ -52,22 +51,7 @@
     "transitions": 13,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000176-0000-7eee1c4f0e5fad63.parquet",
-      "sha256": "7eee1c4f0e5fad63431c1d917c5826716b8772ad3d263253fbfbd14b4ee9fbef",
-      "bytes": 609331,
-      "rows": 6,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000176-0001-f9a5460aedc4fd24.parquet",
-      "sha256": "f9a5460aedc4fd24dd7ec6c3852bfce97d1a872138dc753f5e2dacb8f19dbda2",
-      "bytes": 287534,
-      "rows": 7,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2bb2a93c-19e8-569a-a942-18dd9717a620",
     "numina:bc4e94ec-a9a1-5eda-8a2d-7ebae7bab13d",
@@ -77,5 +61,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000882.lean\",\"6f96d76522b566610c364501edd1ce8c62c34c97523822cb1bae6dc7cd6aae8c\",7,\"number_theory_24974\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000883.lean\",\"c6474ef04d7f0a43ae9e5b0a624750f09b1e772556b72e401a3d430d88fedb66\",6,\"algebra_24978\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000884.lean\",\"af8ea254ee0cdc1b0d4621d38278f5eefba0d4db964cdf251866592ad6edb126\",8,\"algebra_25019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 609331,
+      "path": "data/train/p2a/numina-000176-0000-7eee1c4f0e5fad63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7eee1c4f0e5fad63431c1d917c5826716b8772ad3d263253fbfbd14b4ee9fbef"
+    },
+    {
+      "bytes": 287534,
+      "path": "data/train/p2a/numina-000176-0001-f9a5460aedc4fd24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f9a5460aedc4fd24dd7ec6c3852bfce97d1a872138dc753f5e2dacb8f19dbda2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000177.json b/manifests/batches/numina/000177.json
index fd94df4f021ecc7bfc0be5b542ac1a2b0c241ea3..9dc185eba0ff66e134197659e197f843490f29c6 100644
--- a/manifests/batches/numina/000177.json
+++ b/manifests/batches/numina/000177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000177",
   "batch_fingerprint": "86a78d0f7b4558201f03037b90e69868b5f757596d117d68bf929c4249435915",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 59,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:18b5dba1-c3ca-5e53-9c87-6212532b9b89",
+    "numina:3f1b76d4-a832-586a-a2f3-c62ab6245bfa",
+    "numina:ae1d04f1-5c31-5baa-9c38-e184266086d6",
+    "numina:b116ed54-b962-51f7-b740-e323b6578358",
+    "numina:ce1c16aa-ee8d-5d8c-a942-fc53f2ddc5c4"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000885.lean\",\"0765a15685ac0cb85f04683961731b43b3a6bcb793d79ef82361c05afea7dd54\",0,\"algebra_25031\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000886.lean\",\"5e6c0964f680ed67fea21c41b8514f2ea117dfb26e6f8d82da666bd199e8e8c2\",6,\"algebra_25035\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000887.lean\",\"434e1edbc31d6c66208592efe055c2b3b850942de34036bf13b30ebef04f7db4\",4,\"algebra_25041\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000888.lean\",\"da9874fa8bb28fd3a2c5dd6aad2040a4de20978b800872172b10b546c074a252\",0,\"other_25059\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000889.lean\",\"b595936f238823f997405a7125adfd2e6fb6c16f9977625ec46cc2ad13de3534\",0,\"inequalities_25062\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000177-0000-0ee7ef8209d16964.parquet",
-      "sha256": "0ee7ef8209d16964000055121f946a37c28809c58157ef8e809426f20c6b145c",
       "bytes": 544348,
+      "path": "data/train/p4a/numina-000177-0000-0ee7ef8209d16964.parquet",
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       "rows": 16,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "0ee7ef8209d16964000055121f946a37c28809c58157ef8e809426f20c6b145c"
     },
     {
-      "path": "data/train/numina-000177-0001-59ff0367672393bb.parquet",
-      "sha256": "59ff0367672393bb95b45b0d4140822c5098071da0977247e2392172b8f83f61",
       "bytes": 477650,
+      "path": "data/train/p4a/numina-000177-0001-59ff0367672393bb.parquet",
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       "rows": 14,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "59ff0367672393bb95b45b0d4140822c5098071da0977247e2392172b8f83f61"
     },
     {
-      "path": "data/train/numina-000177-0002-21a436424412a822.parquet",
-      "sha256": "21a436424412a822616d00ddd67cf5c7a8b1de0f214ebbad690e31bb25e8f9cb",
       "bytes": 694438,
+      "path": "data/train/p4a/numina-000177-0002-21a436424412a822.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "21a436424412a822616d00ddd67cf5c7a8b1de0f214ebbad690e31bb25e8f9cb"
     },
     {
-      "path": "data/train/numina-000177-0003-e8a00389340105c2.parquet",
-      "sha256": "e8a00389340105c2b0acd9e0b01b30c466b94e80cb017021d151011fcff78c8f",
       "bytes": 68402,
+      "path": "data/train/p4a/numina-000177-0003-e8a00389340105c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
+      "sha256": "e8a00389340105c2b0acd9e0b01b30c466b94e80cb017021d151011fcff78c8f"
     }
-  ],
-  "proof_ids": [
-    "numina:18b5dba1-c3ca-5e53-9c87-6212532b9b89",
-    "numina:3f1b76d4-a832-586a-a2f3-c62ab6245bfa",
-    "numina:ae1d04f1-5c31-5baa-9c38-e184266086d6",
-    "numina:b116ed54-b962-51f7-b740-e323b6578358",
-    "numina:ce1c16aa-ee8d-5d8c-a942-fc53f2ddc5c4"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000885.lean\",\"0765a15685ac0cb85f04683961731b43b3a6bcb793d79ef82361c05afea7dd54\",0,\"algebra_25031\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000886.lean\",\"5e6c0964f680ed67fea21c41b8514f2ea117dfb26e6f8d82da666bd199e8e8c2\",6,\"algebra_25035\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000887.lean\",\"434e1edbc31d6c66208592efe055c2b3b850942de34036bf13b30ebef04f7db4\",4,\"algebra_25041\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000888.lean\",\"da9874fa8bb28fd3a2c5dd6aad2040a4de20978b800872172b10b546c074a252\",0,\"other_25059\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000889.lean\",\"b595936f238823f997405a7125adfd2e6fb6c16f9977625ec46cc2ad13de3534\",0,\"inequalities_25062\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000178.json b/manifests/batches/numina/000178.json
index 0eb72392db32103636e97678192d8c7e1c38ddb9..afebcafd872a1d15612bc9b3af785c89ab69a64d 100644
--- a/manifests/batches/numina/000178.json
+++ b/manifests/batches/numina/000178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000178",
   "batch_fingerprint": "48176935717d6368af432a215e23836d21136a2cd1569b3df85fbc22ff58cdec",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000178-0000-c5ff22b94fd863e4.parquet",
-      "sha256": "c5ff22b94fd863e4168aa2afa306045ea05847c58b20cce32183ec564793b03a",
-      "bytes": 727961,
-      "rows": 44,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    },
-    {
-      "path": "data/train/numina-000178-0001-e914126dc5ea8ba7.parquet",
-      "sha256": "e914126dc5ea8ba7a94ce40993e7323d4088ffd9be96dc40fcc1ac9e2604e751",
-      "bytes": 126545,
-      "rows": 4,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d83d22e-b32e-5129-b152-b8a98f546c18",
     "numina:bc99d88c-f992-520a-88f7-cb6a5f33dfc1",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000892.lean\",\"8c0f6504e6fd1dd56c637f59ce837775939d40e12fe6e6d9eb84aa4523bd51d2\",1,\"number_theory_25083\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000893.lean\",\"f5e8fbb333627729ca529f132329bf3be1c39a59cd6682f62c5a239b5d8799d2\",0,\"algebra_25091\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000894.lean\",\"e0095ab50290d9892b0e7490057e0106dca1742a3a480e3df932eb0176e6a589\",1,\"algebra_25093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 727961,
+      "path": "data/train/p43/numina-000178-0000-c5ff22b94fd863e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "c5ff22b94fd863e4168aa2afa306045ea05847c58b20cce32183ec564793b03a"
+    },
+    {
+      "bytes": 126545,
+      "path": "data/train/p43/numina-000178-0001-e914126dc5ea8ba7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e914126dc5ea8ba7a94ce40993e7323d4088ffd9be96dc40fcc1ac9e2604e751"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000179.json b/manifests/batches/numina/000179.json
index 849ae295d68aabf422779c5acb0ee9facd86e144..5426641e7fe05004337de2cbfa880a8152b2c199 100644
--- a/manifests/batches/numina/000179.json
+++ b/manifests/batches/numina/000179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000179",
   "batch_fingerprint": "3f8f4223d46b82a223a627833a132c4ae83edcfabb95375b2f7d3308c31255fe",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000179-0000-5333198a7d580ae5.parquet",
-      "sha256": "5333198a7d580ae5898d27ff73e6f51b3690b9fd469efb8c13e8e5c9786a9cbf",
-      "bytes": 481368,
-      "rows": 31,
-      "revision": "cef45e74e1271bb8067d5dedfb686b8aea791100"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7616a3ee-0b99-5385-be6c-e7ef8d81803a",
     "numina:8d1a0f40-652b-5fb5-88d1-ec150e3fb272",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000896.lean\",\"99598aacbbaff942c6372b863bb8f08f01c721f8e1bbb6ea7c409bf50164a4e9\",4,\"number_theory_25119\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000898.lean\",\"82554608f01e7bdd2f23003b466c03156c4410759a3e78dc438c4a51bfabdd8f\",0,\"algebra_25414\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000899.lean\",\"ece5712f69234f48322f2cebf7089f6de680d9d0fff5643ff3880c1ddba8a332\",11,\"number_theory_26417\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 481368,
+      "path": "data/train/pa9/numina-000179-0000-5333198a7d580ae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5333198a7d580ae5898d27ff73e6f51b3690b9fd469efb8c13e8e5c9786a9cbf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000180.json b/manifests/batches/numina/000180.json
index 16bc5e52b47fdb79eb2c039bf6be0eb6d8bbf7c4..588d2e85f735b402eb86d161c1be6c431afa3479 100644
--- a/manifests/batches/numina/000180.json
+++ b/manifests/batches/numina/000180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000180",
   "batch_fingerprint": "de091f753663d26e82d124910ce7ad906acac0eece12b8835d95a5676ba1fc57",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 76,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000180-0000-b510c3dbcd75e641.parquet",
-      "sha256": "b510c3dbcd75e641b8002c7ce1decb71acccc37c211324c6c83fd13fd060ec75",
-      "bytes": 753334,
-      "rows": 45,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/train/numina-000180-0001-e612369d60054f87.parquet",
-      "sha256": "e612369d60054f8758193e176b58d0a2e540c7c8ec853651b105cb92f6327a87",
-      "bytes": 176050,
-      "rows": 31,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:062d1f38-1184-546d-82b6-f5614dce708e",
     "numina:25b27a18-08b1-5ee2-b834-09249ac9dc96",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000902.lean\",\"6bf1c0befe0ed89fde92b7e81601034dcf6ac68266f17be113045bacae085024\",0,\"number_theory_30467\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000903.lean\",\"0dc4771b53207e747f6fe9470621cca0e856121768dad2b4a0ac34b729aa535d\",0,\"number_theory_30933\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000904.lean\",\"f5d1fa9b596bb7345d6cb4ace6d0924c685f4de0f5d69fb50fb7916a7b00d34c\",0,\"number_theory_30963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753334,
+      "path": "data/train/pa1/numina-000180-0000-b510c3dbcd75e641.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "b510c3dbcd75e641b8002c7ce1decb71acccc37c211324c6c83fd13fd060ec75"
+    },
+    {
+      "bytes": 176050,
+      "path": "data/train/pa1/numina-000180-0001-e612369d60054f87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e612369d60054f8758193e176b58d0a2e540c7c8ec853651b105cb92f6327a87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000181.json b/manifests/batches/numina/000181.json
index b465763e90446d539b9ab82c70671d7cea2c717c..52f9c902660d8d1c5138c302c1bf51574e49df46 100644
--- a/manifests/batches/numina/000181.json
+++ b/manifests/batches/numina/000181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000181",
   "batch_fingerprint": "06c6686c71e061e6dd1c0b87a94b1e8df625e6e4e67e238058f82f422f6df329",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 59,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000181-0000-a185e48f57b1c88a.parquet",
-      "sha256": "a185e48f57b1c88a70eff4705f926da3bb228216f170e08b57f950bf60b0159f",
-      "bytes": 640191,
-      "rows": 31,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/train/numina-000181-0001-756cebdb230ea86c.parquet",
-      "sha256": "756cebdb230ea86caa55a55db2e4d86975a491eea9423c38720cbc0442067979",
-      "bytes": 554139,
-      "rows": 28,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55b9897f-e526-5fe6-a8fd-7f93dc9c731c",
     "numina:5658a4fb-7282-5f1f-af1c-c2747ffb13ad",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000907.lean\",\"a46f6e675db0fe60e2f5eaa91d74e388977240f3286858ba11546598e29af0db\",2,\"number_theory_33214\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000908.lean\",\"38a0dcc7a666a889b57a960cc0ccb652806cd656735a92ee2c911a292e387d5a\",0,\"inequalities_33402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000909.lean\",\"00233423437582eb7c015307752ba7e7e6f8a1664af77994af85354febdba505\",0,\"algebra_33612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 640191,
+      "path": "data/train/p33/numina-000181-0000-a185e48f57b1c88a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "a185e48f57b1c88a70eff4705f926da3bb228216f170e08b57f950bf60b0159f"
+    },
+    {
+      "bytes": 554139,
+      "path": "data/train/p33/numina-000181-0001-756cebdb230ea86c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "756cebdb230ea86caa55a55db2e4d86975a491eea9423c38720cbc0442067979"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000182.json b/manifests/batches/numina/000182.json
index 9cde4eb2696d1a46d179895fbc92a63677e1fe22..5115d5af437b23029423df6cb29303083c3f12cd 100644
--- a/manifests/batches/numina/000182.json
+++ b/manifests/batches/numina/000182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000182",
   "batch_fingerprint": "591c1352d24d9ec0a7c005d8e9ccfe48de4dcf146aa4eaeb69232a4154adf92c",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 42,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000182-0000-602d90a640929ad5.parquet",
-      "sha256": "602d90a640929ad58b3cba7eae30c2f1caa354c443850b4634506b11341d1324",
-      "bytes": 575675,
-      "rows": 38,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000182-0000-1586319bf6f9a71e.parquet",
-      "sha256": "1586319bf6f9a71e020a6ee8734091136559e78b2d49c2087e3677e797526b7b",
-      "bytes": 72046,
-      "rows": 4,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c0451c4-d92b-5ce7-b8d6-e7f6239a30ec",
     "numina:3d4252d2-538d-5fbf-b7a8-c5bc8e8f81c5",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000912.lean\",\"2f112d5796a1ebe4a0f858269d78541ca556edcdd3611f03ee2f544a43b132da\",0,\"algebra_35179\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000913.lean\",\"880bcc3d059546b0ee492ea162451a2bd0aa090f39d60b99271f07716f78bb99\",0,\"algebra_35621\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000914.lean\",\"56ebee2fdc46b15059fda02bb491e20670fd0f33d7991a6e50aae575721d1792\",0,\"algebra_35777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 575675,
+      "path": "data/train/pc5/numina-000182-0000-602d90a640929ad5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "602d90a640929ad58b3cba7eae30c2f1caa354c443850b4634506b11341d1324"
+    },
+    {
+      "bytes": 72046,
+      "path": "data/dev/pc5/numina-000182-0000-1586319bf6f9a71e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1586319bf6f9a71e020a6ee8734091136559e78b2d49c2087e3677e797526b7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000183.json b/manifests/batches/numina/000183.json
index c4e06cddaa6e80db90ca2c54d31ba3c4ed66550e..55d151ad8b3d034e017ef938fd7fba4ee7faf27a 100644
--- a/manifests/batches/numina/000183.json
+++ b/manifests/batches/numina/000183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000183",
   "batch_fingerprint": "8597ee92f46dfdd14ac8ea04730abecb478a053036f548f6dea74df0ee202ba9",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 33,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000183-0000-25fe9f348d33dd63.parquet",
-      "sha256": "25fe9f348d33dd632058c8f4a8716ae63dd48b96595ed3112983f2b240702086",
-      "bytes": 153388,
-      "rows": 18,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000183-0000-b4eb1d36a76c5dbd.parquet",
-      "sha256": "b4eb1d36a76c5dbd81b788e2619aa1ce360b8a36cff76d4794cc695a5212da91",
-      "bytes": 194818,
-      "rows": 9,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000183-0000-b82a776ff314a630.parquet",
-      "sha256": "b82a776ff314a6302057acc7c3294a3dc3e41b3bfc4120d99a505c34b07518d5",
-      "bytes": 51283,
-      "rows": 6,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:20e42267-ff3d-5fdf-a10b-b0e7c0b643dc",
     "numina:7778686c-e306-5c94-8bf5-1defc7b8d343",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000917.lean\",\"559aeb095f893f4213c1b781b62aaf5ed4a18942b15715634bf4dd4111fd1298\",0,\"algebra_37396\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000918.lean\",\"4676e1a1e3f66478dc39403c5124373b183783bcc4ca451d298988852437719f\",0,\"algebra_37470\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000919.lean\",\"a0b7376bd7d49919431319d3eb0a6c64cc0c0ff35a858f909b703c55d90b21e0\",0,\"algebra_37651\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153388,
+      "path": "data/train/pf5/numina-000183-0000-25fe9f348d33dd63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "25fe9f348d33dd632058c8f4a8716ae63dd48b96595ed3112983f2b240702086"
+    },
+    {
+      "bytes": 194818,
+      "path": "data/dev/pf5/numina-000183-0000-b4eb1d36a76c5dbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b4eb1d36a76c5dbd81b788e2619aa1ce360b8a36cff76d4794cc695a5212da91"
+    },
+    {
+      "bytes": 51283,
+      "path": "data/internal_test/pf5/numina-000183-0000-b82a776ff314a630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b82a776ff314a6302057acc7c3294a3dc3e41b3bfc4120d99a505c34b07518d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000184.json b/manifests/batches/numina/000184.json
index 621ff71480eedd4dc8f4eca461e180f120653aa3..ce3c347ee154f11f4111a269520dd8b3a56ae6bb 100644
--- a/manifests/batches/numina/000184.json
+++ b/manifests/batches/numina/000184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000184",
   "batch_fingerprint": "f6d6770b8b6755a87a7a2c01bb259becd45e348fe1cadc795847899efe1b64d0",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 54,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000184-0000-d911187be71f1ee6.parquet",
-      "sha256": "d911187be71f1ee6cc574ef7afb2f8c6f6fdf7721e16a2795d32c857a1232d42",
-      "bytes": 635727,
-      "rows": 54,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c1a41ed-841d-5754-bd75-4169c45eebc1",
     "numina:5db1f4ed-9236-527d-a8db-0a06c8303f56",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000922.lean\",\"a11995daca4a9662961534065a51cb5e3fcaa788598392340f9fc9e588f7f376\",0,\"algebra_39264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000923.lean\",\"ec4712e3cdf6761382bf0500a3dfc9d1812e8ad847b792e2aed0d24838e4cace\",5,\"number_theory_39481\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000924.lean\",\"e8b89e956ab098abf4104fbae1b73b1fd8a66281c0e35927d90b61acf3703174\",0,\"algebra_41370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 635727,
+      "path": "data/train/pcc/numina-000184-0000-d911187be71f1ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "d911187be71f1ee6cc574ef7afb2f8c6f6fdf7721e16a2795d32c857a1232d42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000185.json b/manifests/batches/numina/000185.json
index 0723ad5e31c32c1c998c3bff5a068d9c8a44a457..6d6cb0dd9198992e2e36731795f82d5c02582594 100644
--- a/manifests/batches/numina/000185.json
+++ b/manifests/batches/numina/000185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000185",
   "batch_fingerprint": "aa16e11760b53207976cac9d1047e85b3e99b35a78842b7920c7c4561446715b",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 59,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000185-0000-9a7fb5714da0fb3f.parquet",
-      "sha256": "9a7fb5714da0fb3ff882921cd76a5a2fd98cda7733dc81ff0b7fde18a8f59cd6",
-      "bytes": 341981,
-      "rows": 47,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000185-0000-c637827714da0038.parquet",
-      "sha256": "c637827714da0038df7bae8d230f5b167562aaf7f906982f4489aa3a6755dace",
-      "bytes": 197861,
-      "rows": 12,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:277c8b06-c8aa-5709-ba25-a26064315417",
     "numina:2f24ea07-58cf-5daa-bb16-f19bb4e1c005",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000926.lean\",\"6190e61700757b6885dd06e0684ab61d2262f2697f74f19d836aae9bb091227f\",0,\"inequalities_42334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000928.lean\",\"a8583de1f1a717a2fc322c775809a1974642ea46ef9210d71d4074b21d93fa74\",0,\"number_theory_43033\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000929.lean\",\"efe8e158f3cffa128a38b024c7f1015ed1af5fbe1ef2629042eeb5cbb9b98a76\",1,\"number_theory_43620\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341981,
+      "path": "data/train/p10/numina-000185-0000-9a7fb5714da0fb3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "9a7fb5714da0fb3ff882921cd76a5a2fd98cda7733dc81ff0b7fde18a8f59cd6"
+    },
+    {
+      "bytes": 197861,
+      "path": "data/dev/p10/numina-000185-0000-c637827714da0038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c637827714da0038df7bae8d230f5b167562aaf7f906982f4489aa3a6755dace"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000186.json b/manifests/batches/numina/000186.json
index 7066f80f96fd287fc3c952532d1ebf74871757e6..fce01e0507dd63cb756494b0d8713d7da8461aef 100644
--- a/manifests/batches/numina/000186.json
+++ b/manifests/batches/numina/000186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000186",
   "batch_fingerprint": "d4646452665da890dcb91100e2f33f91f85be34db857812910397ef4d96ac308",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000186-0000-c280cbf7eb110246.parquet",
-      "sha256": "c280cbf7eb110246eaafe1f969660baf9ea93c5791b9106c6fcfbf72a405b75d",
-      "bytes": 480107,
-      "rows": 41,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f068235-9ef9-5bca-aba3-9839aaeae19f",
     "numina:47b79cb9-6a93-5836-a123-aa211fa01006",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000932.lean\",\"c97fa2d002bf326655378687e6c4651eb634aa165c09720df92bc95641dab183\",5,\"number_theory_44187\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000933.lean\",\"6684146b76b9a49546ebfc959cfd010450fae26ef02120ae145e91ed6441d180\",0,\"inequalities_44974\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000934.lean\",\"1d45f2f711735ac5f48ba8ca1836acc63412ee2b8b8ca3d204f801e2fe2d516a\",5,\"number_theory_45210\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 480107,
+      "path": "data/train/p41/numina-000186-0000-c280cbf7eb110246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "c280cbf7eb110246eaafe1f969660baf9ea93c5791b9106c6fcfbf72a405b75d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000187.json b/manifests/batches/numina/000187.json
index d6fe3368d94aacf6058f3a8aefb5c234eae1b016..0dca9fc3014106280e445c1506aaeccf8dc6294c 100644
--- a/manifests/batches/numina/000187.json
+++ b/manifests/batches/numina/000187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000187",
   "batch_fingerprint": "1c9029ed006b72fc89ef542c010ab71c1606c076e0b9255b88d7a703c9850620",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 86,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000187-0000-b2bbe0480700ce3c.parquet",
-      "sha256": "b2bbe0480700ce3cdd7756377edc4e49307db8931fd0953f1058e7292a766e19",
-      "bytes": 511540,
-      "rows": 74,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/train/numina-000187-0001-e24a7d09b2eee680.parquet",
-      "sha256": "e24a7d09b2eee68035e1634c784ebf422375b4a514f5a10b4ffab9a9d33a824f",
-      "bytes": 477083,
-      "rows": 5,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000187-0000-eb2b019e0cc52757.parquet",
-      "sha256": "eb2b019e0cc52757e3c1895acc48b7e0f7ca30f8ca4952c3c2a8beb5b3b1ce90",
-      "bytes": 84303,
-      "rows": 7,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:357a755f-beea-5619-a2c6-d04affb1e6cc",
     "numina:372a2e55-133b-591a-b7df-4f72934772cf",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000937.lean\",\"b6c417952b34d60d408f35711d2091fce0c9e63d0a11c4438e2d0a543b9aee6a\",6,\"number_theory_46251\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000938.lean\",\"f3c8a82b14ee7772d2bf2798056bbde467d2cde7ab0f96f65e9c1e3056a13b75\",0,\"number_theory_46833\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000939.lean\",\"2448cd9606a672f0a1a7a2243596829795ed1ce67cad588c4d1bca1d99804469\",0,\"algebra_47500\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511540,
+      "path": "data/train/p96/numina-000187-0000-b2bbe0480700ce3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "b2bbe0480700ce3cdd7756377edc4e49307db8931fd0953f1058e7292a766e19"
+    },
+    {
+      "bytes": 477083,
+      "path": "data/train/p96/numina-000187-0001-e24a7d09b2eee680.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e24a7d09b2eee68035e1634c784ebf422375b4a514f5a10b4ffab9a9d33a824f"
+    },
+    {
+      "bytes": 84303,
+      "path": "data/internal_test/p96/numina-000187-0000-eb2b019e0cc52757.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "eb2b019e0cc52757e3c1895acc48b7e0f7ca30f8ca4952c3c2a8beb5b3b1ce90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000188.json b/manifests/batches/numina/000188.json
index 96df4b26a6580d023f23873388bf26d103bcbedf..f77af896a64f98aaa5906e97b8a5204dde73b8b5 100644
--- a/manifests/batches/numina/000188.json
+++ b/manifests/batches/numina/000188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000188",
   "batch_fingerprint": "b1a95f5c22e595d9acaf77f4e8276ac66ddb162d3315ee9ecd14caaacb7104cf",
   "evidence": {
@@ -34,39 +33,40 @@
     "transitions": 17,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1295a6be-f205-503b-acc8-63c0228b0935",
+    "numina:9383b5e1-1e9c-5cd6-8144-83ee606978ed",
+    "numina:e653e14f-8d07-540b-bd41-e2aa1d8efacb",
+    "numina:fb97533f-6edd-5efa-b996-41b974b4c735"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000940.lean\",\"e7ee91c97e659723e7ce0abdc7f7e9ff1103c9e15b842c44ed49c3ad553d4239\",0,\"other_47513\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000941.lean\",\"d337fb013e31e3651208ad0c5b4fce72fee60a221f59c4d5414e3f2af1078b0d\",0,\"algebra_48023\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000942.lean\",\"4bd3c0cec6ceb8944210e3491cbaf26c8f85d2967a67bd29526fcc7d1a1e5558\",0,\"algebra_48662\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000944.lean\",\"1d5489ad04a9d06ca358bb5984bf2ebe2a29ca9bdf6c5a03b69f040c5446e088\",2,\"calculus_52172\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000188-0000-8c84a96c0e030eaa.parquet",
-      "sha256": "8c84a96c0e030eaa0d7a5e28509acc7319ccbaf76135bf3572f9fc7563e9a53e",
       "bytes": 76412,
+      "path": "data/train/p65/numina-000188-0000-8c84a96c0e030eaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
+      "sha256": "8c84a96c0e030eaa0d7a5e28509acc7319ccbaf76135bf3572f9fc7563e9a53e"
     },
     {
-      "path": "data/dev/numina-000188-0000-23db063b3c815a09.parquet",
-      "sha256": "23db063b3c815a096e2c215dc5c2598d06e1c53d128e64da5eb76355dd9e9c8b",
       "bytes": 31170,
+      "path": "data/dev/p65/numina-000188-0000-23db063b3c815a09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
+      "sha256": "23db063b3c815a096e2c215dc5c2598d06e1c53d128e64da5eb76355dd9e9c8b"
     },
     {
-      "path": "data/internal_test/numina-000188-0000-3ffa1de63898bcec.parquet",
-      "sha256": "3ffa1de63898bcecf3bd6af311c76cd908eba34f4010b7ae6f58012eab9057eb",
       "bytes": 97116,
+      "path": "data/internal_test/p65/numina-000188-0000-3ffa1de63898bcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
+      "sha256": "3ffa1de63898bcecf3bd6af311c76cd908eba34f4010b7ae6f58012eab9057eb"
     }
-  ],
-  "proof_ids": [
-    "numina:1295a6be-f205-503b-acc8-63c0228b0935",
-    "numina:9383b5e1-1e9c-5cd6-8144-83ee606978ed",
-    "numina:e653e14f-8d07-540b-bd41-e2aa1d8efacb",
-    "numina:fb97533f-6edd-5efa-b996-41b974b4c735"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000940.lean\",\"e7ee91c97e659723e7ce0abdc7f7e9ff1103c9e15b842c44ed49c3ad553d4239\",0,\"other_47513\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000941.lean\",\"d337fb013e31e3651208ad0c5b4fce72fee60a221f59c4d5414e3f2af1078b0d\",0,\"algebra_48023\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000942.lean\",\"4bd3c0cec6ceb8944210e3491cbaf26c8f85d2967a67bd29526fcc7d1a1e5558\",0,\"algebra_48662\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000944.lean\",\"1d5489ad04a9d06ca358bb5984bf2ebe2a29ca9bdf6c5a03b69f040c5446e088\",2,\"calculus_52172\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000189.json b/manifests/batches/numina/000189.json
index bf719601e20a404dc655ebaf04b3f81a625c72f0..0ea16f18f2615cdf189c833c1760d90f457ec99d 100644
--- a/manifests/batches/numina/000189.json
+++ b/manifests/batches/numina/000189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000189",
   "batch_fingerprint": "f0cc17594dcce61264bd038c10f0895c496fde9b306af2bdf9c6121627e43520",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000189-0000-db52301056a90748.parquet",
-      "sha256": "db52301056a90748c940e986c00c439d028622e3ddd5a6636f2bef2e0338247e",
-      "bytes": 682897,
-      "rows": 36,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000189-0000-24a661706cba9e7c.parquet",
-      "sha256": "24a661706cba9e7c42536b38fc5c456620f2930842a557b54b2e0e12cacb4f02",
-      "bytes": 67713,
-      "rows": 4,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45478c25-72f0-5ae7-94ef-a92358a6bf18",
     "numina:56d47186-513f-5046-8cfb-e6b419d17862",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000947.lean\",\"aa832573472d4175b63339166a746090d517ac174770b19ddd0440bb513fdbb4\",0,\"algebra_97717\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000948.lean\",\"e5a176a432759dfaa53e2466c949af8db55d2b9413a782444c62be8db1f6966a\",4,\"number_theory_53765\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000949.lean\",\"884737ee0b8cda0f256e0c567f84f61fa874b6df1b18d01aa47c78fd441b57a9\",0,\"algebra_53827\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 682897,
+      "path": "data/train/p9f/numina-000189-0000-db52301056a90748.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "db52301056a90748c940e986c00c439d028622e3ddd5a6636f2bef2e0338247e"
+    },
+    {
+      "bytes": 67713,
+      "path": "data/internal_test/p9f/numina-000189-0000-24a661706cba9e7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "24a661706cba9e7c42536b38fc5c456620f2930842a557b54b2e0e12cacb4f02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000190.json b/manifests/batches/numina/000190.json
index 9a77fa90ce165923b2f23e15477dcb121d253745..20475335b94bd8ca1d24e6257530e0774eb8d51c 100644
--- a/manifests/batches/numina/000190.json
+++ b/manifests/batches/numina/000190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000190",
   "batch_fingerprint": "0cb84aa46d6b5e467641c21437ab4a1d83b5f555c196df91b20dd4c01e59bce9",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 20,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000190-0000-cc911f022d92e254.parquet",
-      "sha256": "cc911f022d92e254205b5358f816e01d28440af22d380cfd3875e0422f4b4083",
-      "bytes": 395756,
-      "rows": 20,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:463c7f84-cd56-5983-8bf5-4c2dd0d353e5",
     "numina:6790cc49-c6fc-5f06-abb4-3a71f8d3bd18",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000951.lean\",\"335bb0221688208e194e37a96ea92efb2c342011d12de7d4d02ba283e34398aa\",0,\"number_theory_54394\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000953.lean\",\"5d395146e9850f363bf8b4f134b37baa947eae07220f6c4975bfdc67bca92b4e\",0,\"number_theory_55998\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000954.lean\",\"5c4d5e71c3a4617d5ad7a924492de23d4f29a08a1a012b98bb5ab02ab141feca\",0,\"number_Theory_56714\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395756,
+      "path": "data/train/p3b/numina-000190-0000-cc911f022d92e254.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cc911f022d92e254205b5358f816e01d28440af22d380cfd3875e0422f4b4083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000191.json b/manifests/batches/numina/000191.json
index c241519354a02b3238e07f07dbef78c0087f8972..472d262164b67bb3cd747f3e7f7ef481e3047408 100644
--- a/manifests/batches/numina/000191.json
+++ b/manifests/batches/numina/000191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000191",
   "batch_fingerprint": "348ac4b3aa5a648be9159fa1402f854800ed75e1ebc492f406b878ad6353cfbd",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000191-0000-062082e6cb21fd21.parquet",
-      "sha256": "062082e6cb21fd21299578a0f3705795e5bfed89a5e2684f663225ac1b317d45",
-      "bytes": 384360,
-      "rows": 32,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000191-0000-4c72b46d4061db4f.parquet",
-      "sha256": "4c72b46d4061db4fc45acaf69aaa6d4393e854d7fd1466d07d06b1ef3e9e0338",
-      "bytes": 48638,
-      "rows": 5,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c497cde-2f20-529f-924f-9db3679e0f98",
     "numina:71258ab2-349e-5101-8dab-8545e819566e",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000957.lean\",\"b394a942734f63e1da03760cdeedb9e427a528c25f3a8c691b87196e835ef356\",0,\"number_theory_58473\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000958.lean\",\"3105dfb2c803ffd5b0f7e8e017ae2cc48396ba27c9a06782c455d8a59642f5a2\",0,\"algebra_58993\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000959.lean\",\"5b8870a94930e5ebd0b3b9c371cd2c6df01ce6e88c5369eee5ffc34d788753c1\",0,\"inequalities_59132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384360,
+      "path": "data/train/pb3/numina-000191-0000-062082e6cb21fd21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "062082e6cb21fd21299578a0f3705795e5bfed89a5e2684f663225ac1b317d45"
+    },
+    {
+      "bytes": 48638,
+      "path": "data/internal_test/pb3/numina-000191-0000-4c72b46d4061db4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4c72b46d4061db4fc45acaf69aaa6d4393e854d7fd1466d07d06b1ef3e9e0338"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000192.json b/manifests/batches/numina/000192.json
index cc20c1a6e2a350fe1a41da1ff7c68153d0fad884..bf2176f5ec936dcdea5569a72034482fb32c4ba8 100644
--- a/manifests/batches/numina/000192.json
+++ b/manifests/batches/numina/000192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000192",
   "batch_fingerprint": "a17470ba02307179d7ca0f5f326b853f7234ba0deb6865483c4eaef57ae7359d",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 16,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000192-0000-27669edb17fbafce.parquet",
-      "sha256": "27669edb17fbafce261b88914cdaff00cf766f8dfe55d70e2bdbd7016fe18df1",
-      "bytes": 330124,
-      "rows": 15,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000192-0000-aad8696b40b937e9.parquet",
-      "sha256": "aad8696b40b937e90875228b253bb5c8041883f17d8902e15a44d3fa16074551",
-      "bytes": 25372,
-      "rows": 1,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1df3b27b-9df9-520f-a367-ac006ce7a7b0",
     "numina:5736d971-05c2-5ee0-9c17-c97469d92543",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000962.lean\",\"1949cf41f91bd147b8a474d4b9e0a6b0fa8b1d6b041d683ea885676891191918\",0,\"number_theory_59962\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000963.lean\",\"b3b555ff5e5ddb6705e031fddbc5fddd91b13dd3cf2210aafef57f5d8b3eff7a\",0,\"algebra_60213\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000964.lean\",\"b008b23fe0b808dec0df8c81f6e84208f698512591fe422b2022860b3d0e6534\",0,\"number_theory_61392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330124,
+      "path": "data/train/pa4/numina-000192-0000-27669edb17fbafce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "27669edb17fbafce261b88914cdaff00cf766f8dfe55d70e2bdbd7016fe18df1"
+    },
+    {
+      "bytes": 25372,
+      "path": "data/internal_test/pa4/numina-000192-0000-aad8696b40b937e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "aad8696b40b937e90875228b253bb5c8041883f17d8902e15a44d3fa16074551"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000193.json b/manifests/batches/numina/000193.json
index 3658e61624391611402d09e01c36e9c8190c9792..90c06f200718c75d49b93bde3a4ba9ed16a676e5 100644
--- a/manifests/batches/numina/000193.json
+++ b/manifests/batches/numina/000193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000193",
   "batch_fingerprint": "cf6f896528753dd893fcd3f2f37aeac70342140e9a6e327597f8ee3d8587fd9b",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000193-0000-583811d041929923.parquet",
-      "sha256": "583811d0419299233e06e0ecfd53fef7febb93799d611309d8962ab598e93f5c",
-      "bytes": 161380,
-      "rows": 15,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000193-0000-417034ccddb801b9.parquet",
-      "sha256": "417034ccddb801b97c20c8da6c347ec404a6ae343d1bbafe7a4e2920824086ca",
-      "bytes": 295598,
-      "rows": 20,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1cb226db-1ee6-562c-8912-87a03f755344",
     "numina:3451d5a7-046e-57b3-918f-d1a5f22bc7cc",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000967.lean\",\"ed7c1d959b17de152ed0e01c5ce03d53d952774c8f5aba9ad4fa06ef7e9099ae\",0,\"number_theory_62389\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000968.lean\",\"e1266932788050c55c43e610496f4055737c938660746336f5c6c9cff91d270b\",0,\"inequalities_62960\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000969.lean\",\"3f0df23cbe6f9adb4749a772760c85864e8a8f03af5d3f80eaf38b222397634d\",1,\"number_theory_63188\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161380,
+      "path": "data/train/p94/numina-000193-0000-583811d041929923.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "583811d0419299233e06e0ecfd53fef7febb93799d611309d8962ab598e93f5c"
+    },
+    {
+      "bytes": 295598,
+      "path": "data/dev/p94/numina-000193-0000-417034ccddb801b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "417034ccddb801b97c20c8da6c347ec404a6ae343d1bbafe7a4e2920824086ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000194.json b/manifests/batches/numina/000194.json
index 9099401c4383b8e188bc109492592cc47e394ae1..9f293f447f650b3703402223803d8a148d13202b 100644
--- a/manifests/batches/numina/000194.json
+++ b/manifests/batches/numina/000194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000194",
   "batch_fingerprint": "8a9911d519783ab1aba71babca4b7bb0b127cc36f3aed5261f2ed5b1453d2968",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000194-0000-0c7abcb4bd33df40.parquet",
-      "sha256": "0c7abcb4bd33df4008d82df655f751a13ed2ca0bb8f0fd2d6f985fe6fe25e9d3",
-      "bytes": 366839,
-      "rows": 38,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:899c224c-50be-52d1-b59c-b2fb98874a39",
     "numina:a64bffcb-61d8-5673-a563-68d00a383e5c",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000972.lean\",\"d1a1ecf728c78b5bae71f9f5e6811e852a7c48ce7d60319069ddd4ebbb607db2\",0,\"number_theory_64261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000973.lean\",\"a910e24ed9d5b91054552f879f292304e711628d5c3a8ca7de6891d296dcdd83\",0,\"number_theory_64261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000974.lean\",\"915506f89ac64979c3245a4b5c78a452863c2db445eaddda1746dcd9f3a05afb\",0,\"number_theory_65005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366839,
+      "path": "data/train/p40/numina-000194-0000-0c7abcb4bd33df40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "0c7abcb4bd33df4008d82df655f751a13ed2ca0bb8f0fd2d6f985fe6fe25e9d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000195.json b/manifests/batches/numina/000195.json
index da4f0a01d97617ac6e4eaa60d0b5bb615e0f77b3..088f766c31b84421f9bfe5949a06ce4318a28f67 100644
--- a/manifests/batches/numina/000195.json
+++ b/manifests/batches/numina/000195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000195",
   "batch_fingerprint": "d634366e8dd4c5fa028729ca9b522b877bf12298f58651735bcb4ea295faa509",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000195-0000-8c1035f199627a62.parquet",
-      "sha256": "8c1035f199627a625b83d2cf2599a24ad92cb6f1ebefbfe78d9cdbd4199eebcc",
-      "bytes": 528893,
-      "rows": 31,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000195-0000-56ce7b4fdd04ebf6.parquet",
-      "sha256": "56ce7b4fdd04ebf6403c79facd4aa7ba313fba112bda8b504ed7f29deff006a8",
-      "bytes": 80837,
-      "rows": 8,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e70bfe1-cbdf-5977-8d7d-bf71f3ce2764",
     "numina:2fb697bd-c028-59b5-b8bd-4fdcd7244f42",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000977.lean\",\"fa251e5893131d57cda78f112ad9db59be2168fa157dd6b42b87ab53a8fbb67f\",0,\"algebra_68013\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000978.lean\",\"005acb2e0e9b7515697cf72ff0f9b4e4c460770871ba3f28e829ba8041b3b443\",0,\"number_theory_68056\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000979.lean\",\"270e097cdb833703f6ccd38606ad2660538becf4c81d5abc24ab0f8c203580f3\",0,\"inequalities_68070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528893,
+      "path": "data/train/pd2/numina-000195-0000-8c1035f199627a62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8c1035f199627a625b83d2cf2599a24ad92cb6f1ebefbfe78d9cdbd4199eebcc"
+    },
+    {
+      "bytes": 80837,
+      "path": "data/internal_test/pd2/numina-000195-0000-56ce7b4fdd04ebf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "56ce7b4fdd04ebf6403c79facd4aa7ba313fba112bda8b504ed7f29deff006a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000196.json b/manifests/batches/numina/000196.json
index 566c6f5ec6418617d673efb813bb821a1a034d88..bb662cc4dc9ff72ee75887c2572fec85572fcc4f 100644
--- a/manifests/batches/numina/000196.json
+++ b/manifests/batches/numina/000196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000196",
   "batch_fingerprint": "ec4e317aab99117340eee6e7e326b94f96a8024b8f4695be51830d9e065c8adc",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 45,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000196-0000-1079fb214b7a0939.parquet",
-      "sha256": "1079fb214b7a09394876da97538440491a6941bbcaa2e3d3ef149613f6ad05e7",
-      "bytes": 276661,
-      "rows": 41,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000196-0000-b188ec44fa33a1bd.parquet",
-      "sha256": "b188ec44fa33a1bda39996667f4a95873c7841d011fa162b24dd3882890749a7",
-      "bytes": 117469,
-      "rows": 4,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0411f78a-17f1-526e-a300-20d0c17d1191",
     "numina:6dc0bdc6-60d7-5c98-a315-12e2e2514744",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000982.lean\",\"4556da6a0ad4a0dc10bd7feb21eda21d2bc77714513362a676a8636766d420d8\",0,\"Algebra_70569\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000983.lean\",\"0c212da3b41cdfd02f4e3c65bcd425667ea6cee8d5b4f22681ed88205f26d253\",2,\"number_theory_71689\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000984.lean\",\"f1dfa01c29d69531f01e54bdbb916f0fa8d0b22ca5654686dc168711f7cb9f25\",0,\"negated_number_theory_71739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276661,
+      "path": "data/train/p14/numina-000196-0000-1079fb214b7a0939.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "1079fb214b7a09394876da97538440491a6941bbcaa2e3d3ef149613f6ad05e7"
+    },
+    {
+      "bytes": 117469,
+      "path": "data/internal_test/p14/numina-000196-0000-b188ec44fa33a1bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b188ec44fa33a1bda39996667f4a95873c7841d011fa162b24dd3882890749a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000197.json b/manifests/batches/numina/000197.json
index 45cfc5f2dac67e30671d0442ff0cde6f26ab8488..eed47380830d9f5a19c5fc1cd58a9eec591ebd33 100644
--- a/manifests/batches/numina/000197.json
+++ b/manifests/batches/numina/000197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000197",
   "batch_fingerprint": "f418d1049091cbd66ce849684acbc874fb0cc89abfa1acd4e07ff36550e1a932",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 63,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000197-0000-decfdb4b7908c19e.parquet",
-      "sha256": "decfdb4b7908c19ebacc85a9e134111470ea07d1db1b07a7ef70a1d4597ccc12",
-      "bytes": 598711,
-      "rows": 56,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000197-0000-f4c0d8871ca672c1.parquet",
-      "sha256": "f4c0d8871ca672c136088063fc0b94cfac4ca3adc4d0b8044031b7b1df544739",
-      "bytes": 155862,
-      "rows": 7,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:131b4414-b3db-564c-8e56-df7c4d42016e",
     "numina:63ffe89c-f262-55e9-a8f7-92aacb7c7adf",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000987.lean\",\"d60ab441a66adaa709f006aff5cde6b2f1f519f59bec30fa0d476124992571d4\",0,\"algebra_73099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000988.lean\",\"4978c24a6009856ca3ca256ee3858b537b68a26f6d253871de9cbe516d677db3\",0,\"algebra_73100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000989.lean\",\"e6918a4e2955b2f3c7b801bc521ce98bdf0da9a7281a1ddd51bf1e0e3d674950\",0,\"number_theory_74213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598711,
+      "path": "data/train/p6b/numina-000197-0000-decfdb4b7908c19e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "decfdb4b7908c19ebacc85a9e134111470ea07d1db1b07a7ef70a1d4597ccc12"
+    },
+    {
+      "bytes": 155862,
+      "path": "data/dev/p6b/numina-000197-0000-f4c0d8871ca672c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f4c0d8871ca672c136088063fc0b94cfac4ca3adc4d0b8044031b7b1df544739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000198.json b/manifests/batches/numina/000198.json
index a1ae246d4e9cd1bdc1caa1c685a0a1e45f9561a4..2ee9681284ef3fd43ef88ebe1a35dfe39c6635cb 100644
--- a/manifests/batches/numina/000198.json
+++ b/manifests/batches/numina/000198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000198",
   "batch_fingerprint": "4246900f01941ba23be799d3af8b8a8318ac081165f2c4f963740cbed220841f",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000198-0000-8155b13b00847fc5.parquet",
-      "sha256": "8155b13b00847fc5b5662520838679273c884bb38c76cb951697e8f9207f90be",
-      "bytes": 261378,
-      "rows": 27,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/internal_test/numina-000198-0000-29446f42e44ac064.parquet",
-      "sha256": "29446f42e44ac0641efe5532eaf9ae3d095b5aa69776a7746dfcc0fdf8a87798",
-      "bytes": 72783,
-      "rows": 11,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a1eec6e-635a-52ca-b61f-c826e6a6b732",
     "numina:284253a3-8461-5099-a404-535db8ff1259",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000992.lean\",\"b7ca2941f2d706eaade18c4997400ea7d321be5f047d7f6d41f190a07e9e9e15\",0,\"algebra_75217\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000993.lean\",\"d9b767ff4be6d8f4031055f196995bd416cc4b64d5f7e0ba9991c3d8c56ffef7\",0,\"inequalities_75933\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000994.lean\",\"4282c8034732eeaca5f9f1c15f3bc9ca687a9685a95461fb05217e4b0155e8e2\",0,\"number_theory_76050\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261378,
+      "path": "data/train/pb8/numina-000198-0000-8155b13b00847fc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8155b13b00847fc5b5662520838679273c884bb38c76cb951697e8f9207f90be"
+    },
+    {
+      "bytes": 72783,
+      "path": "data/internal_test/pb8/numina-000198-0000-29446f42e44ac064.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "29446f42e44ac0641efe5532eaf9ae3d095b5aa69776a7746dfcc0fdf8a87798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000199.json b/manifests/batches/numina/000199.json
index 1482525f4b1bf5bd9ab613a45c3c6ea8f0cc1c42..1ee724c8f977e025d1bfec289280be70c9efd793 100644
--- a/manifests/batches/numina/000199.json
+++ b/manifests/batches/numina/000199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000199",
   "batch_fingerprint": "b35300cad63445025038e437473990cb5743a15471803ba85ef4ec8b807eb501",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 33,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000199-0000-857a95e8bb29f7a0.parquet",
-      "sha256": "857a95e8bb29f7a0203b8b7ed8b61f1ce2ecb94a7202990aa843217b32776700",
-      "bytes": 200397,
-      "rows": 32,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    },
-    {
-      "path": "data/dev/numina-000199-0000-f24fc3c731cb57cf.parquet",
-      "sha256": "f24fc3c731cb57cf391138127a9d8e283bb317ea257ebb3a0d5a3879d878e53d",
-      "bytes": 31025,
-      "rows": 1,
-      "revision": "69d0a48e20f6e064c29a03fea22e564b61c991ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24f1d015-b80c-5308-bcce-d401857a2e8b",
     "numina:2ff49cea-95de-5d5e-af75-bcbe0ecdd4b1",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000997.lean\",\"de97cb9d31024259c8ed37a4a8e8c4c74da7a2d18aafa6df80492a637dbca63d\",0,\"number_theory_77607\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000998.lean\",\"1026dff87a4087f0a0e3583c79e756357be7e4d3e9ed0ce0027a628ee8afeaee\",0,\"inequalities_78038\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000999.lean\",\"783b1080673cc160fab0c74192f0d7200915c36a116b87718d87070767df76ab\",0,\"inequalities_80308\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200397,
+      "path": "data/train/pa9/numina-000199-0000-857a95e8bb29f7a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "857a95e8bb29f7a0203b8b7ed8b61f1ce2ecb94a7202990aa843217b32776700"
+    },
+    {
+      "bytes": 31025,
+      "path": "data/dev/pa9/numina-000199-0000-f24fc3c731cb57cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f24fc3c731cb57cf391138127a9d8e283bb317ea257ebb3a0d5a3879d878e53d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000200.json b/manifests/batches/numina/000200.json
index 34f2f27305fa261617547b56d8f293bd5809b413..8c4f24379bf61dce216d0af940191ca94cbf30c8 100644
--- a/manifests/batches/numina/000200.json
+++ b/manifests/batches/numina/000200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000200",
   "batch_fingerprint": "3ab6fa7ce4795fa336238a7f838f383eb0fb7e8c70f30eebe91241180f6a9c39",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 73,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000200-0000-3f10509b259764d4.parquet",
-      "sha256": "3f10509b259764d466e5bb7caaad2aeb27d8703222a8450d6602eb826f221a99",
-      "bytes": 205082,
-      "rows": 53,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000200-0000-9a226688d8deacf0.parquet",
-      "sha256": "9a226688d8deacf065282fe9b507f9f57ce70a6766ea58e79453ae3995421bbf",
-      "bytes": 110305,
-      "rows": 17,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000200-0000-68f52568639faa4a.parquet",
-      "sha256": "68f52568639faa4ac1484df46cb8cc766bec1e7b48d7340981f81ae143262660",
-      "bytes": 41515,
-      "rows": 3,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ecedac8-078e-53df-b59b-a9d9ce3abaaa",
     "numina:16149aa9-a339-5c57-b4d2-91282035b33b",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001002.lean\",\"fe5175ffd451b87adcfef699464e2df1ddbfc8281fe00538b0deb60a1a64df4f\",0,\"algebra_81458\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001003.lean\",\"b13617209f3021114f64696db3ec5d2241881b203be035495ca662f449669a3b\",0,\"algebra_82405\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001004.lean\",\"e90edc8bce8a09f9c8cda5acb27b4e119ce8a0ddb6a781940f4c04ff6737aec0\",0,\"inequalities_82582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205082,
+      "path": "data/train/p5e/numina-000200-0000-3f10509b259764d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "3f10509b259764d466e5bb7caaad2aeb27d8703222a8450d6602eb826f221a99"
+    },
+    {
+      "bytes": 110305,
+      "path": "data/dev/p5e/numina-000200-0000-9a226688d8deacf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9a226688d8deacf065282fe9b507f9f57ce70a6766ea58e79453ae3995421bbf"
+    },
+    {
+      "bytes": 41515,
+      "path": "data/internal_test/p5e/numina-000200-0000-68f52568639faa4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "68f52568639faa4ac1484df46cb8cc766bec1e7b48d7340981f81ae143262660"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000201.json b/manifests/batches/numina/000201.json
index 49b8ee7a092c37f0017aef32aa806b157779b174..88291011806291127fe5a632556c06acc851ecb5 100644
--- a/manifests/batches/numina/000201.json
+++ b/manifests/batches/numina/000201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000201",
   "batch_fingerprint": "d64abe7ecafc39dd8136ae19647cfb6a662bd2b07c98acc78cf88181930e8501",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000201-0000-e6c6a9505135774d.parquet",
-      "sha256": "e6c6a9505135774d9f086bfe919f2ce306da4d360a5ea09cd7387021594ad28d",
-      "bytes": 378632,
-      "rows": 27,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26a7b9b5-279c-5edf-b159-e193218345e0",
     "numina:3171f402-81da-5896-a33f-7fe55dfb7164",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001007.lean\",\"3a5799d0bbe0bca997f8820cf9fb6e11806cc798038355f0f755ad417317c671\",1,\"number_theory_84728\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001008.lean\",\"bda7c4b8b4c2742ab28106b39f93636a0709e528f6e0a7cdb427435a8f865579\",0,\"inequalities_84743\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001009.lean\",\"fb7662bc738668d0a2ad733304b2fffe0d9676c8dee1311468a38aa95aac4b8c\",0,\"algebra_85726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378632,
+      "path": "data/train/paf/numina-000201-0000-e6c6a9505135774d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e6c6a9505135774d9f086bfe919f2ce306da4d360a5ea09cd7387021594ad28d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000202.json b/manifests/batches/numina/000202.json
index 15c3c6e1d0234dcd6400199fc4eebb9e7a0f2812..38bb06d2793fe8f41cc53c32da34b2fda5046bb3 100644
--- a/manifests/batches/numina/000202.json
+++ b/manifests/batches/numina/000202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000202",
   "batch_fingerprint": "b6d7662602da5dd8c34d8378a4c419f236947e2cdd24f2ceb8f6819580204e39",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 44,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000202-0000-bb51dbaf73b1a8e7.parquet",
-      "sha256": "bb51dbaf73b1a8e7c344ff1085a3977d342d4b924d3817f70883c2a30a9cd632",
-      "bytes": 259662,
-      "rows": 26,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/train/numina-000202-0001-1212121548cef003.parquet",
-      "sha256": "1212121548cef003e7a9aa794f469aeca5f8454f2c298b932ad1fe589d1711a4",
-      "bytes": 161729,
-      "rows": 18,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:462d2eb1-c903-5602-9352-654f04ef6200",
     "numina:4cda22f0-8a90-5b7c-849e-3db38dd3f57c",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001012.lean\",\"5c7cb3237becd440ec2b8d12524e68b01b673de50e2a1b9bef2d8a789de8e313\",4,\"algebra_86363\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001013.lean\",\"e814ede678124462d524fe992504d60488df36ce5ef48f9e292e2dcfe17a99af\",0,\"negated_number_theory_86530\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001014.lean\",\"20874e7592d7db0880ad2e18e0e805acac9ceb86b6c96f649ce761c28d1120b0\",0,\"algebra_87029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259662,
+      "path": "data/train/pfd/numina-000202-0000-bb51dbaf73b1a8e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "bb51dbaf73b1a8e7c344ff1085a3977d342d4b924d3817f70883c2a30a9cd632"
+    },
+    {
+      "bytes": 161729,
+      "path": "data/train/pfd/numina-000202-0001-1212121548cef003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1212121548cef003e7a9aa794f469aeca5f8454f2c298b932ad1fe589d1711a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000203.json b/manifests/batches/numina/000203.json
index 3dc93594cd5077d9f6eb63322b0fd5a54d690e8c..6f844ebbd9bdc8dd7240896c7e72a19a39ede227 100644
--- a/manifests/batches/numina/000203.json
+++ b/manifests/batches/numina/000203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000203",
   "batch_fingerprint": "939ef3028266dc38f41b33769de2c07d55ee041bba70674da4301b0fd563422b",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 31,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000203-0000-fe6e62d4404658c3.parquet",
-      "sha256": "fe6e62d4404658c3a4f4431be4f9a189fc553291e3b2947090a97b31812f519e",
-      "bytes": 176267,
-      "rows": 17,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000203-0000-938b784ebc92cdab.parquet",
-      "sha256": "938b784ebc92cdab06eacaadd7ea36cbb7b7f10ccef045cce755c8d7ea90c387",
-      "bytes": 193085,
-      "rows": 14,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:183bfa0d-8d30-599f-b013-d230c6ddbe3c",
     "numina:4b386b6b-7b20-5670-9f0a-1cc422c1b5fd",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001017.lean\",\"417645d3563bfddd262f9070b0214c44bc33b7aad6770abe46cfe833dad49f50\",0,\"algebra_88255\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001018.lean\",\"d90bd22f6dac00b02d17bfe9c7802e16a4903843f72bf772647945ce6033025d\",2,\"number_theory_88630\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001019.lean\",\"a71d25912e06787153c35a0f7b398b656d3a279b5b72045b28b899bccfcfef0b\",0,\"number_theory_89171\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176267,
+      "path": "data/train/p0f/numina-000203-0000-fe6e62d4404658c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fe6e62d4404658c3a4f4431be4f9a189fc553291e3b2947090a97b31812f519e"
+    },
+    {
+      "bytes": 193085,
+      "path": "data/dev/p0f/numina-000203-0000-938b784ebc92cdab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "938b784ebc92cdab06eacaadd7ea36cbb7b7f10ccef045cce755c8d7ea90c387"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000204.json b/manifests/batches/numina/000204.json
index a56de559752da54d807afd1ee7b25951395c46bf..d03d9d280c752a5c55a9989c7a9b7a8cda08f745 100644
--- a/manifests/batches/numina/000204.json
+++ b/manifests/batches/numina/000204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000204",
   "batch_fingerprint": "7bcc140b3fecefbfa46b3db1a91843686adfa24814d569cbc6716da3c5c38fb7",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000204-0000-220ef1c7f6112bd5.parquet",
-      "sha256": "220ef1c7f6112bd554f4cb985c583004c7f9815b73adf8b4f2677fab2009332b",
-      "bytes": 229410,
-      "rows": 12,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000204-0000-b8df0d2fea411652.parquet",
-      "sha256": "b8df0d2fea411652ff121084c8a00a713c5b87c76e7fdc02aed1f96425b69772",
-      "bytes": 115013,
-      "rows": 12,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:48052361-741a-5db3-9eb7-6467d9d174cc",
     "numina:9fc577c1-e9de-58a0-bea2-60bbbe04eaa2",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001022.lean\",\"b313e98f81a1938710e514ccbb2ede021f85baaf54a6d97d18151e9099c9a36e\",1,\"number_theory_90289\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001023.lean\",\"ffec369e8106dd8783587d76d43ec389b88f696a667b1421f9fe717dbbf6cf00\",0,\"number_theory_90468\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001024.lean\",\"8ceab7b49c9f73dd09b732845163e6bd3f11521cc1a71f83776b4387c49f0d67\",0,\"number_theory_90500\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229410,
+      "path": "data/train/p6e/numina-000204-0000-220ef1c7f6112bd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "220ef1c7f6112bd554f4cb985c583004c7f9815b73adf8b4f2677fab2009332b"
+    },
+    {
+      "bytes": 115013,
+      "path": "data/internal_test/p6e/numina-000204-0000-b8df0d2fea411652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b8df0d2fea411652ff121084c8a00a713c5b87c76e7fdc02aed1f96425b69772"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000205.json b/manifests/batches/numina/000205.json
index 1d0046bf33998a516c6315dd0ff2e81883635074..7bf67125adbf994950e50af9034206b757eaa25d 100644
--- a/manifests/batches/numina/000205.json
+++ b/manifests/batches/numina/000205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000205",
   "batch_fingerprint": "a00c1a34f814cba51601b6e472aa4d23592179f014e89aa4f1104b7e1379463d",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 75,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000205-0000-a10d12bb9351b2be.parquet",
-      "sha256": "a10d12bb9351b2beec367ab1eb17beef9c8f3038da6eb5df2a8aaca9a347a7ef",
-      "bytes": 857722,
-      "rows": 66,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/train/numina-000205-0001-cfb8722d056b2c25.parquet",
-      "sha256": "cfb8722d056b2c2525fff37a1496a3c00ecafab3927c081d26d198bb6a05938f",
-      "bytes": 569809,
-      "rows": 4,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000205-0000-ccebc2f627435654.parquet",
-      "sha256": "ccebc2f6274356541ebd7ec07c34d65f15e967bc48512a421ac0e491c36286ff",
-      "bytes": 73682,
-      "rows": 5,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31104676-54eb-533e-baa3-12915c6d59cb",
     "numina:330f3996-1aa0-5ccf-830a-a5433aa50fe8",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001027.lean\",\"009bf2d5dda387b985754db530c533d37ec8777e616934bb0da1a3818015d103\",3,\"number_theory_92685\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001028.lean\",\"872626e6ae394c0dd6c067a8b7ce9ffac0dc3aad2b1fce99afe4f7dc305468ca\",0,\"algebra_92934\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001029.lean\",\"3ced0b8e8676c67934b9b48b7a1fa177d56ab579a3cd98457bc28518319818dc\",0,\"AIME_Algebra_729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 857722,
+      "path": "data/train/p5d/numina-000205-0000-a10d12bb9351b2be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "a10d12bb9351b2beec367ab1eb17beef9c8f3038da6eb5df2a8aaca9a347a7ef"
+    },
+    {
+      "bytes": 569809,
+      "path": "data/train/p5d/numina-000205-0001-cfb8722d056b2c25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cfb8722d056b2c2525fff37a1496a3c00ecafab3927c081d26d198bb6a05938f"
+    },
+    {
+      "bytes": 73682,
+      "path": "data/internal_test/p5d/numina-000205-0000-ccebc2f627435654.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ccebc2f6274356541ebd7ec07c34d65f15e967bc48512a421ac0e491c36286ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000206.json b/manifests/batches/numina/000206.json
index d710a6fe498dfc6dba35bdeae65fd8f400b94dc3..6771a29b656e6213fa948f615cab2d38db59b5dd 100644
--- a/manifests/batches/numina/000206.json
+++ b/manifests/batches/numina/000206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000206",
   "batch_fingerprint": "27ced4dc1b00c203c82891be8df24576d5fd4803c3ce5184d02b543e8725c267",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000206-0000-12ef85d0c678dc13.parquet",
-      "sha256": "12ef85d0c678dc13c06ff673e1c1a859fa949e8f612f4c449400150c4b0f57cc",
-      "bytes": 387550,
-      "rows": 33,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000206-0000-baa956fd2e21cf3a.parquet",
-      "sha256": "baa956fd2e21cf3a294ef7346238018c4ef7efe3f649ebd3d3698bda623307f4",
-      "bytes": 30270,
-      "rows": 2,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000206-0000-a3b3725c7b6e6e98.parquet",
-      "sha256": "a3b3725c7b6e6e98691cd922e1d8a974e9291b318d188fd54b8fb3cc662877d5",
-      "bytes": 63170,
-      "rows": 4,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:186fd2f7-1089-5542-b7a2-00c97de7939c",
     "numina:778e29a3-b1b6-5001-8cb0-ebf4a8b89a50",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001032.lean\",\"bfd457405d02a0e65402605689cd6b2f0bb0828f55bd15feb1e2ec6e0d1be1c3\",0,\"number_theory_92976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001033.lean\",\"84f30e1fbab2a20fe25b41376bee8f911d3bfb0d0a5980a3e5baad4dfc67f8d5\",0,\"algebra_92978\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001034.lean\",\"5de5037eb712fc456a02279894b94c4003cba0b78d894afe229f31fe81ce322d\",0,\"algebra_92981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387550,
+      "path": "data/train/p76/numina-000206-0000-12ef85d0c678dc13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "12ef85d0c678dc13c06ff673e1c1a859fa949e8f612f4c449400150c4b0f57cc"
+    },
+    {
+      "bytes": 30270,
+      "path": "data/dev/p76/numina-000206-0000-baa956fd2e21cf3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "baa956fd2e21cf3a294ef7346238018c4ef7efe3f649ebd3d3698bda623307f4"
+    },
+    {
+      "bytes": 63170,
+      "path": "data/internal_test/p76/numina-000206-0000-a3b3725c7b6e6e98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a3b3725c7b6e6e98691cd922e1d8a974e9291b318d188fd54b8fb3cc662877d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000207.json b/manifests/batches/numina/000207.json
index ef99f1ed28c62e878c63221d27189bdf331c1c29..56f73082850b31e7e83c18d70c9ce30a170fc409 100644
--- a/manifests/batches/numina/000207.json
+++ b/manifests/batches/numina/000207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000207",
   "batch_fingerprint": "d92d42832f54923255dc769f31f0db39de072c8a9f3c728e1c5419641bf9de02",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000207-0000-15026e8ee1a88e61.parquet",
-      "sha256": "15026e8ee1a88e61e76384812ef51faaf70f8f5aa742d0b47a83b2fbedc785b0",
-      "bytes": 42891,
-      "rows": 7,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000207-0000-c84df31ac4c6a212.parquet",
-      "sha256": "c84df31ac4c6a21218b1dfd63b9da74bde17578c329179d2b05ea58516481e6e",
-      "bytes": 283637,
-      "rows": 34,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5522c079-b660-5e1a-878e-33fb657ecadb",
     "numina:b4bdafe6-9a80-59f8-aaf7-9d6551c76d78",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001037.lean\",\"7ccad339e2a561ce3d8c15a8a4314f8b48faa45140054a896fc0808d5a10554a\",0,\"algebra_93021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001038.lean\",\"c7f24ab7f0b76d122013b50bf0b90a4e696b65600837aaf5f3dc4e9f19ee0d59\",0,\"algebra_93059\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001039.lean\",\"0006969e790bb2428559926e0615b47e4a288b8a13c660719d63697c18ec5636\",0,\"algebra_93067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 42891,
+      "path": "data/train/p16/numina-000207-0000-15026e8ee1a88e61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "15026e8ee1a88e61e76384812ef51faaf70f8f5aa742d0b47a83b2fbedc785b0"
+    },
+    {
+      "bytes": 283637,
+      "path": "data/internal_test/p16/numina-000207-0000-c84df31ac4c6a212.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "c84df31ac4c6a21218b1dfd63b9da74bde17578c329179d2b05ea58516481e6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000208.json b/manifests/batches/numina/000208.json
index c521a0e10526fd7020db4755386d808d6005c330..959ae8efb4de49f0f93bebcd0969612167f6cb89 100644
--- a/manifests/batches/numina/000208.json
+++ b/manifests/batches/numina/000208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000208",
   "batch_fingerprint": "6c311227e1462411ccf1bf0d211684bc0ab41f207967c60e193d7bf73548de06",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 10,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000208-0000-abc6691586c0a634.parquet",
-      "sha256": "abc6691586c0a634955720c6c72392f0ab2d2ef081c3c1303ceb8622a6a911ae",
-      "bytes": 39673,
-      "rows": 5,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000208-0000-6e80a148ef456234.parquet",
-      "sha256": "6e80a148ef456234f8d4f77e8be47087c58ef9c68e9fdff811d679286945ce8f",
-      "bytes": 46867,
-      "rows": 5,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:040cba84-17df-52d1-9af8-ee1834c05f77",
     "numina:27b2b23a-b7be-5b11-87c9-ac6d47189538",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001042.lean\",\"f85a4ee90c793cdb13d015287df8e1ac0c0e69537bd4128ad490d5a51a624946\",0,\"algebra_93126\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001043.lean\",\"9bd782ad5c664beb54681cda957bebe3eb6a3e87fe3728c504ba453522d09ea9\",0,\"algebra_93151\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001044.lean\",\"905e3ceaa5cf263c41618ac683bac5063aacbb88761dc869cfd5aee6aa721ff5\",0,\"algebra_93168\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39673,
+      "path": "data/train/p3b/numina-000208-0000-abc6691586c0a634.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "abc6691586c0a634955720c6c72392f0ab2d2ef081c3c1303ceb8622a6a911ae"
+    },
+    {
+      "bytes": 46867,
+      "path": "data/dev/p3b/numina-000208-0000-6e80a148ef456234.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6e80a148ef456234f8d4f77e8be47087c58ef9c68e9fdff811d679286945ce8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000209.json b/manifests/batches/numina/000209.json
index 7d08ce8a1e6dcc72ce575b22d270ebc408ccff09..452e4315dead92f362088e4aec5a4b8ffb9c210e 100644
--- a/manifests/batches/numina/000209.json
+++ b/manifests/batches/numina/000209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000209",
   "batch_fingerprint": "781f25cd12b73eca11a022d8922a323740d6e871504503aab8b9793f2c7e8153",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 75,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000209-0000-8b7044433cf86b50.parquet",
-      "sha256": "8b7044433cf86b50fca5b3807c2176d5b9d7d7b3168eb21a57162512ae201561",
-      "bytes": 717883,
-      "rows": 71,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/train/numina-000209-0001-02762bf457ddc35e.parquet",
-      "sha256": "02762bf457ddc35e50e9567d1028ad643048faeed41ea28775421739a7a80fd8",
-      "bytes": 136726,
-      "rows": 4,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c4c0936-749b-5f1a-be6c-1fb8dc1f67f8",
     "numina:59e036e9-8bd6-5782-ace8-656a2affd49a",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001047.lean\",\"5ede8c7df42a4d9595c42f634677f5e2745da5dfac3b95054bff747d6e1f5cc5\",0,\"algebra_93189\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001048.lean\",\"1ec520ad3229606cff1bb0a96b37befdc7f2c21de7e002acb37cc194a32cbaca\",0,\"number_theory_93204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001049.lean\",\"30381e78a9b6ef031ced2862b04acfa21a8ca97415369c92afed98094975b753\",0,\"algebra_93207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 717883,
+      "path": "data/train/p83/numina-000209-0000-8b7044433cf86b50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "8b7044433cf86b50fca5b3807c2176d5b9d7d7b3168eb21a57162512ae201561"
+    },
+    {
+      "bytes": 136726,
+      "path": "data/train/p83/numina-000209-0001-02762bf457ddc35e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "02762bf457ddc35e50e9567d1028ad643048faeed41ea28775421739a7a80fd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000210.json b/manifests/batches/numina/000210.json
index ab841a0973e682ffd5e29b38e4d86fac74fbdc10..87649a88981b3c5737315bdbd9bfd76f0fc3510b 100644
--- a/manifests/batches/numina/000210.json
+++ b/manifests/batches/numina/000210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000210",
   "batch_fingerprint": "45b84a18d2789f013e4e78f4f96639aaee752d638478e8940d4c95b1d13136b5",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 43,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000210-0000-ff1428e37dfa07ec.parquet",
-      "sha256": "ff1428e37dfa07ec625669543ebe0610ffdb0c60e3af39696735938560ed4bb5",
-      "bytes": 910264,
-      "rows": 25,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/train/numina-000210-0001-63cfcdab7f186ec3.parquet",
-      "sha256": "63cfcdab7f186ec3d01398e2e837c21e114d86f588d563329cc551afc67a93a6",
-      "bytes": 70550,
-      "rows": 3,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000210-0000-1a7f2ee01a19add1.parquet",
-      "sha256": "1a7f2ee01a19add182395fb7a48475db2289d1b4e436d76e461743c2b252784b",
-      "bytes": 131145,
-      "rows": 15,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:169f8817-9c85-5fa7-b0b7-a9544c09596b",
     "numina:3779b183-97a0-59f7-9e1d-07357e6bd565",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001052.lean\",\"3296ab1dc97dc3d5c227cb847af1c8c77ed94a444a43250117aee2ded28c75df\",0,\"algebra_93251\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001053.lean\",\"4186e7573809872cc41737ea441453ef239dd97472609ba48f7776941e1ba68f\",0,\"algebra_93287\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001054.lean\",\"d05731980ca66e3810960346c2c7bad99b43edd380f94c4bbee8f62d0e3fa68a\",0,\"number_theory_93335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 910264,
+      "path": "data/train/p50/numina-000210-0000-ff1428e37dfa07ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ff1428e37dfa07ec625669543ebe0610ffdb0c60e3af39696735938560ed4bb5"
+    },
+    {
+      "bytes": 70550,
+      "path": "data/train/p50/numina-000210-0001-63cfcdab7f186ec3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "63cfcdab7f186ec3d01398e2e837c21e114d86f588d563329cc551afc67a93a6"
+    },
+    {
+      "bytes": 131145,
+      "path": "data/dev/p50/numina-000210-0000-1a7f2ee01a19add1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1a7f2ee01a19add182395fb7a48475db2289d1b4e436d76e461743c2b252784b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000211.json b/manifests/batches/numina/000211.json
index f7bf53614a420efc064ee7fba6e2b0b06532a4fd..2dd0123e280eeda5d493b64d72528a1ee8d38818 100644
--- a/manifests/batches/numina/000211.json
+++ b/manifests/batches/numina/000211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000211",
   "batch_fingerprint": "0299c42aad578142276ae18ea7fddf0289ab8faf2dd3d3828f4c0512d46d7cf3",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000211-0000-a9bc42ec53f85a6f.parquet",
-      "sha256": "a9bc42ec53f85a6fe1f6f0259eccb729f9a39b9cc66bfd70c25b2768e150c765",
-      "bytes": 324165,
-      "rows": 32,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2344d8e1-93d8-534f-881b-066b40eca2b2",
     "numina:348d1876-670a-5064-a307-a5da1d1dfded",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001057.lean\",\"76022445d5adbd136e2b851e642257283864f391163300a429a1222c75b1abc6\",0,\"algebra_93383\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001058.lean\",\"a4a8eea2d10bafc3a4a9b6d63ad5cfa24ac10ca4ae2ded1b55157c735400e062\",0,\"algebra_93389\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001059.lean\",\"78dda3c4d3d206c60ccb5f70758f3b125efa8f733e2ef7378a8057fd99b3c1fb\",0,\"algebra_93412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324165,
+      "path": "data/train/pb0/numina-000211-0000-a9bc42ec53f85a6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a9bc42ec53f85a6fe1f6f0259eccb729f9a39b9cc66bfd70c25b2768e150c765"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000212.json b/manifests/batches/numina/000212.json
index 30c7fbf7f608afd0c01f008c9eabfb7e15d13c08..4f71ec171b1e433a0554518dc9f19360f46ccfbc 100644
--- a/manifests/batches/numina/000212.json
+++ b/manifests/batches/numina/000212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000212",
   "batch_fingerprint": "8dd002ffdcfeb7318f96a558185ea5a06ad9479b8a48d229a5a2199ca6f92dde",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 25,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000212-0000-65cb4a199897f942.parquet",
-      "sha256": "65cb4a199897f9427dfbc6bc2f4d508590058102daba936b89fc451bfbfbdf46",
-      "bytes": 130511,
-      "rows": 25,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e27d151-a96a-59d4-a5ac-a4c8547e75ec",
     "numina:25f349eb-0e4a-51df-8c92-e821b05c7520",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001062.lean\",\"203bf41acdefed5a625ab48d8ea0a6f79b6738c8cb265e5ac0164ff28f014afc\",0,\"algebra_93424\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001063.lean\",\"c65b416aaa27781f552a409c91b0d64dbc21daedfc5aefa7430816e052b47cdc\",0,\"algebra_93429\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001064.lean\",\"5360b661e2f96750b72ead80f00f9c927ada3b61aebc5c1cdc09d487374535b2\",0,\"number_theory_94547\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130511,
+      "path": "data/train/p53/numina-000212-0000-65cb4a199897f942.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "65cb4a199897f9427dfbc6bc2f4d508590058102daba936b89fc451bfbfbdf46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000213.json b/manifests/batches/numina/000213.json
index 16d421d3149ff22538501f765db5312c457d9dd7..7ea6481efd8e8e21dd650204966caff886f88c41 100644
--- a/manifests/batches/numina/000213.json
+++ b/manifests/batches/numina/000213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000213",
   "batch_fingerprint": "71a1b3268058b84e90d3ba4e3f4c9ad4e70988a105ca2e4ffdedc04292535897",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 21,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000213-0000-7eb5f4bdb8b68670.parquet",
-      "sha256": "7eb5f4bdb8b686701084121b490505e332fafd8f2d533a3dd07d245c2c410191",
-      "bytes": 198598,
-      "rows": 17,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/internal_test/numina-000213-0000-9edd751a8295ccae.parquet",
-      "sha256": "9edd751a8295ccae2dd51995313f680dda238078aa6eef4e766a8d762efcb001",
-      "bytes": 28533,
-      "rows": 4,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6af5eda2-dd5b-58f7-a616-1e1d679d9217",
     "numina:931a3494-c240-5f83-9cf9-dbf4a2f9d137",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001067.lean\",\"279eddfcb027d6e11b643d0872c44fc70fcfea5cfedcaf5f9d50e3c7ddfedea0\",0,\"algebra_1203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001068.lean\",\"9e908eee776f13bd3b3c5f9a42f14f440121da49e9f755ccd892517babacd778\",0,\"algebra_93545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001069.lean\",\"de511e00ceeb2dfdaa23083a7fa88b02a80b342455e679d6eb04b4a6c8fc53ed\",0,\"number_theory_93555\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198598,
+      "path": "data/train/p83/numina-000213-0000-7eb5f4bdb8b68670.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7eb5f4bdb8b686701084121b490505e332fafd8f2d533a3dd07d245c2c410191"
+    },
+    {
+      "bytes": 28533,
+      "path": "data/internal_test/p83/numina-000213-0000-9edd751a8295ccae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9edd751a8295ccae2dd51995313f680dda238078aa6eef4e766a8d762efcb001"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000214.json b/manifests/batches/numina/000214.json
index 122c943120ed86fe271a23a8c9f9b066046b8f87..87d64b85c3fa8397dc8147a66e51a304a90505b9 100644
--- a/manifests/batches/numina/000214.json
+++ b/manifests/batches/numina/000214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000214",
   "batch_fingerprint": "aaa79018070d37139180751d5a32d5ecceac158ebcec71c9818969dff052739f",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000214-0000-108cc1e24df80386.parquet",
-      "sha256": "108cc1e24df8038643d096328f6928731f83b06507bb4e78555736ea7959447f",
-      "bytes": 302459,
-      "rows": 36,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2931b4f2-fa9f-5780-a78b-61a0f7a06900",
     "numina:607b9225-6324-5251-932a-a41c0ef1da2e",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001072.lean\",\"3c48e4506f6486eeca0f0d127e6a029f6368912b3af8f209ddb92ee3f1f012de\",0,\"algebra_93618\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001073.lean\",\"ef6e0baef51941ea2a7eecc8f8a53fce578ce746b00b3308ac69c2cbb273b17c\",0,\"number_theory_93624\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001074.lean\",\"0b7a57e6f49e731c103366767d2d75dadb3f751f82bc4a9def472ba8177eadf7\",0,\"number_theory_93636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302459,
+      "path": "data/train/pd7/numina-000214-0000-108cc1e24df80386.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "108cc1e24df8038643d096328f6928731f83b06507bb4e78555736ea7959447f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000215.json b/manifests/batches/numina/000215.json
index b74fbb1ebf087969fe12daf68a055dac1771baf6..55cae065ede35de91c9988d18c63be2c0bd63338 100644
--- a/manifests/batches/numina/000215.json
+++ b/manifests/batches/numina/000215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000215",
   "batch_fingerprint": "86f997373ddab3a3ec7019e692c2c1aea09c47e8b990be216b2a900cd3afc0c0",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 30,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000215-0000-f36c6530e2cce115.parquet",
-      "sha256": "f36c6530e2cce115a094276b19896a62554092c7fd03e36aa1ce648a569d9d0c",
-      "bytes": 227608,
-      "rows": 30,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:82cad128-1e23-5472-8984-cca629bfab30",
     "numina:bdc13536-3c7e-5bb5-b6ed-747daa5d417a",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001077.lean\",\"260cb4301f5337460cec4584370ea265ddd5530c9fa9151d233693b2702d6db8\",0,\"algebra_93661\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001078.lean\",\"96421e2a897e2aa219e24ff495e61af5dabcb61beae3bb4fbe80af0598f8ca25\",0,\"algebra_93671\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001079.lean\",\"1276131d80dac26ae3398a95234376dd6c2ab21e3843e0d1dcc8f11a6dd42c97\",0,\"algebra_93679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227608,
+      "path": "data/train/pd1/numina-000215-0000-f36c6530e2cce115.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "f36c6530e2cce115a094276b19896a62554092c7fd03e36aa1ce648a569d9d0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000216.json b/manifests/batches/numina/000216.json
index b6779e40aeadb054019aed84aaed3181b1257e46..156417f62265cc42d24d8fbab150918832d5f680 100644
--- a/manifests/batches/numina/000216.json
+++ b/manifests/batches/numina/000216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000216",
   "batch_fingerprint": "8ac7c47ef5d90e3e8a9555fa28651f99e153dc1d96f627b659c89052d9d88e2e",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000216-0000-c4262d01253230d5.parquet",
-      "sha256": "c4262d01253230d542feea8a9878eb0e7f91935577101e5f05f0d1f69a1ed70f",
-      "bytes": 364679,
-      "rows": 33,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000216-0000-30a41ccf6b9e0e01.parquet",
-      "sha256": "30a41ccf6b9e0e018e8a7bc41d856220f73f9bcf8b646003fc4b3674d710a35a",
-      "bytes": 429653,
-      "rows": 15,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0eb5304c-8e35-5adc-bba2-f142dce4e15c",
     "numina:16153ef5-b056-5878-8383-cbc52a0fe52d",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001082.lean\",\"d8f18a47d8e0d19bb043a35d5ee285969d0992a0b694adf66fdeee64b032e231\",0,\"aime_735\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001083.lean\",\"0458036133d711bd0b36365ac1336e42602608fa3895e6af9ba7a07b661a9b5e\",0,\"number_theory_93817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001084.lean\",\"31b52d3df4782fbd403fb576eeb21ba1da2c5aa704f205a5dd5a009b02d58d72\",0,\"number_theory_93827\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 364679,
+      "path": "data/train/p39/numina-000216-0000-c4262d01253230d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "c4262d01253230d542feea8a9878eb0e7f91935577101e5f05f0d1f69a1ed70f"
+    },
+    {
+      "bytes": 429653,
+      "path": "data/dev/p39/numina-000216-0000-30a41ccf6b9e0e01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "30a41ccf6b9e0e018e8a7bc41d856220f73f9bcf8b646003fc4b3674d710a35a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000217.json b/manifests/batches/numina/000217.json
index a7f12d58f49adb5ef89322ac9d7bf9d8c079a8ad..281d26fdc4593e0eac1ce21ed9f348e3472b5843 100644
--- a/manifests/batches/numina/000217.json
+++ b/manifests/batches/numina/000217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000217",
   "batch_fingerprint": "8bf6c9151e12fbb851841b8326ccbae072da76d3cbf6b0cdf1e97d632b01e1b0",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000217-0000-10074fe5ea7d838d.parquet",
-      "sha256": "10074fe5ea7d838da06f645cbe7b6a53ffc8483e1460fd3f1432ada673132d5a",
-      "bytes": 88990,
-      "rows": 25,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    },
-    {
-      "path": "data/dev/numina-000217-0000-c8d6b28132279521.parquet",
-      "sha256": "c8d6b28132279521b2b93d6c9706cdcabc6ad65b00dce67185b40b9f9171c3a1",
-      "bytes": 67268,
-      "rows": 4,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03da364c-f212-5d0e-9e87-dfec9f9ca7b5",
     "numina:331472a5-41be-5f85-8460-097003895971",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001087.lean\",\"e8a2d2ea3b520f0538674b4588f4f328235f9956834b3965f3dea4736738e79f\",0,\"algebra_93880\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001088.lean\",\"15ab2eb1a2fd7489db1a4b6bd5edfbbff728b4050d85d1e0d2fd7d772d171dd3\",0,\"algebra_93886\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001089.lean\",\"4a31e2cc5949e380ea8e7da30041df2cc78ed2a6bd2dfe61f4f5105877ea647b\",0,\"algebra_93918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88990,
+      "path": "data/train/pd7/numina-000217-0000-10074fe5ea7d838d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "10074fe5ea7d838da06f645cbe7b6a53ffc8483e1460fd3f1432ada673132d5a"
+    },
+    {
+      "bytes": 67268,
+      "path": "data/dev/pd7/numina-000217-0000-c8d6b28132279521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c8d6b28132279521b2b93d6c9706cdcabc6ad65b00dce67185b40b9f9171c3a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000218.json b/manifests/batches/numina/000218.json
index fc2e070d66e6e4ea86c2a1ed2e344066ac838f28..a2567f67f3129fbb21ca435b601446cf6774b50c 100644
--- a/manifests/batches/numina/000218.json
+++ b/manifests/batches/numina/000218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000218",
   "batch_fingerprint": "01a0e27e0a57142f0578a8495fe29f70305541e1a72b7b2e533674d5e374da93",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 46,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000218-0000-3ed3c91b9034c194.parquet",
-      "sha256": "3ed3c91b9034c194874fcdf33e114fe74466fa389551c42647ed37af8db43f92",
-      "bytes": 535867,
-      "rows": 46,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29c4e782-0734-5b32-a548-4332d2636e54",
     "numina:672e2397-7ea7-5231-a0d1-642bcd6e9335",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001092.lean\",\"ab6410eada5d01e045a820a7bc6e13687548d11f71e35c4b5582e104fff02b36\",0,\"algebra_93957\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001093.lean\",\"530fca984f641cc099337bc029c3cd5c7789f3c2fb7f22993e437a9514f5d08e\",0,\"algebra_93959\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001094.lean\",\"837375806bc151a0980c7aa7e9f4be7e64bf047932e73af2fd9e903f55fd15f9\",0,\"algebra_93963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 535867,
+      "path": "data/train/pfa/numina-000218-0000-3ed3c91b9034c194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "3ed3c91b9034c194874fcdf33e114fe74466fa389551c42647ed37af8db43f92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000219.json b/manifests/batches/numina/000219.json
index 0776ae31880a3f74e39d29f2bc792451e1a9c84c..b257ea36165acde1cece3b8b3f4588ad74a90f1a 100644
--- a/manifests/batches/numina/000219.json
+++ b/manifests/batches/numina/000219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000219",
   "batch_fingerprint": "89581956d6bb8fa0e9f14fb337ff5c53e455bbea8dc32b4933ef404609d31f15",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000219-0000-f4ccdd502b3d2608.parquet",
-      "sha256": "f4ccdd502b3d26083464fa91a9ca23600848e0700730a32f5eca3aec6c4a84ab",
-      "bytes": 511605,
-      "rows": 40,
-      "revision": "431d3fe5bf222b17b314c042f1592456200fb16c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f7e5bb4-9f92-579f-be30-180d61d7bf92",
     "numina:411dfdad-a0b7-5d2f-9d81-3b719bab7771",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001097.lean\",\"3e02de27f437b4042837eb8468141d8419d5c18aaf9a4d4fc8c8285fe199ba25\",0,\"number_theory_94013\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001098.lean\",\"acee084af26547708522b629f89c2c876d71621754b4c139d5dfa32df38df649\",0,\"algebra_94041\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001099.lean\",\"4313d90cbcba14fc4912840a46e1dea0b362e16394d9988ce03f587ec72fd62c\",0,\"number_theory_94043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511605,
+      "path": "data/train/p3d/numina-000219-0000-f4ccdd502b3d2608.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f4ccdd502b3d26083464fa91a9ca23600848e0700730a32f5eca3aec6c4a84ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000220.json b/manifests/batches/numina/000220.json
index a61c3721c0688c6a81d683076a63f9af92cee733..039ad2cd8104a512cea2f4e320d05fa88d37419c 100644
--- a/manifests/batches/numina/000220.json
+++ b/manifests/batches/numina/000220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000220",
   "batch_fingerprint": "79464c43cf46279141e47d167c251d0fdd7b1eebd0f52fa581bb5271ad407f43",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 71,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000220-0000-d033bf3efcf6aa37.parquet",
-      "sha256": "d033bf3efcf6aa37ab9aed519b0c1404af37cfc15cbc23586e8147d16c3f7975",
-      "bytes": 415740,
-      "rows": 64,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/dev/numina-000220-0000-ddf435451fce0f28.parquet",
-      "sha256": "ddf435451fce0f28e470037ce73294917682ec08ebc1017054f396bbc86725c0",
-      "bytes": 132791,
-      "rows": 7,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:095a9cae-03a3-54c9-93c6-09a490fdc6fe",
     "numina:3ebde08f-5a52-5904-b852-34f524e8ecde",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001102.lean\",\"4f81ffd4cec42caa0c94157656536a567cc6d86d2dfbb8266316f17096289b7c\",0,\"algebra_94130\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001103.lean\",\"1b30180bbebb3311aad391d5ffa6ebab3396ed669a904b738df58f37e500243a\",0,\"algebra_94131\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001104.lean\",\"e8007d41642f32352407d1d8526ed4a6c0e797163a5d6f12e4f7b783ded2b7fd\",0,\"number_theory_94142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415740,
+      "path": "data/train/pd7/numina-000220-0000-d033bf3efcf6aa37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "d033bf3efcf6aa37ab9aed519b0c1404af37cfc15cbc23586e8147d16c3f7975"
+    },
+    {
+      "bytes": 132791,
+      "path": "data/dev/pd7/numina-000220-0000-ddf435451fce0f28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ddf435451fce0f28e470037ce73294917682ec08ebc1017054f396bbc86725c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000221.json b/manifests/batches/numina/000221.json
index 02baa2c9daf5a9d1201e95fe71ab15135a06972f..df48d6d6c8e60900df684c5bed47ffd8192e7614 100644
--- a/manifests/batches/numina/000221.json
+++ b/manifests/batches/numina/000221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000221",
   "batch_fingerprint": "8c643033dd8877a40b1c37d9b845562e3fa1558ebb40fb1a59a4368487313fa5",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 26,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000221-0000-51e9a66d166d4683.parquet",
-      "sha256": "51e9a66d166d46838b9b2f220e1188b145de442b0df89dafea9bff9446b9a00c",
-      "bytes": 152201,
-      "rows": 26,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3de64994-d3e2-5eb4-b72f-d34dd14b5c66",
     "numina:68f0088a-5637-58b8-a78b-e74a805ac39e",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001107.lean\",\"5412f96059c126815a09a30fff8746012f519fa4e132e1057119e7df06ccbac2\",0,\"algebra_1122\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001108.lean\",\"083934c32113041d5690581f328a1ae9bb7990c71dfa47ac9a6f8c2ac87149cd\",0,\"algebra_94203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001109.lean\",\"a5cd8996758593ce111f3afb4f6cf298efeb7c4c80b797d7c3ed787c3598eeb6\",0,\"algebra_94214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152201,
+      "path": "data/train/p2f/numina-000221-0000-51e9a66d166d4683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "51e9a66d166d46838b9b2f220e1188b145de442b0df89dafea9bff9446b9a00c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000222.json b/manifests/batches/numina/000222.json
index 1036b5e2f17c4b8da261bd141e72e8ec0bc148a7..ffd3fb64fc60b50e3a078bb4a6c865fe2ff9884b 100644
--- a/manifests/batches/numina/000222.json
+++ b/manifests/batches/numina/000222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000222",
   "batch_fingerprint": "768e4e20f3b124fe1a22ed9a178147eb11fbb5d2e64928e2b4846ecff6e45781",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000222-0000-4bda4233a571630f.parquet",
-      "sha256": "4bda4233a571630ff9c5955eb75bcd5834b02fc0f215948bc603b13869494b4f",
-      "bytes": 228377,
-      "rows": 32,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47a57ce1-079b-5ee3-9f95-89008f375365",
     "numina:638de746-dfea-57ff-a0cc-b481d3538c7b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001112.lean\",\"bf3bcb28cd004c2745cbc4d52dbd7c0ac93fe232f5fb4b83c2b812a7631ada55\",0,\"algebra_94245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001113.lean\",\"09e40d561c5a224d89de0d73f1a3f36c76f1da603cfd59d6845134843be869e8\",0,\"number_theory_94247\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001114.lean\",\"31a28cbdc5811a30bc753bb43a215a8aa2b10e1167b6c0ae0ffe3d52fe745314\",0,\"algebra_94259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228377,
+      "path": "data/train/p72/numina-000222-0000-4bda4233a571630f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "4bda4233a571630ff9c5955eb75bcd5834b02fc0f215948bc603b13869494b4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000223.json b/manifests/batches/numina/000223.json
index ac2cb628731ae2499dfa7e15c34494db346df3ed..acba6d1fd16fd66e41b3b88d997c917309d2b89b 100644
--- a/manifests/batches/numina/000223.json
+++ b/manifests/batches/numina/000223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000223",
   "batch_fingerprint": "5add39ad375523673678b7c7469fe8b1b4c7ef9eb3284e0496bfc646c6e20502",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 33,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000223-0000-0b54909b8de6c062.parquet",
-      "sha256": "0b54909b8de6c0627f52d56b5fdfda6d5fbb6982f634c49599c9dd2c571029d6",
-      "bytes": 485955,
-      "rows": 33,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:335a54ff-8750-5c03-9010-4f2f323ffbe7",
     "numina:c8082f8f-15ca-503c-a4cc-6d293531d21d",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001117.lean\",\"55505daac58034a22ce0139cefc303ab47608830e2b02a498b37e46b278fc38f\",0,\"number_theory_1125\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001118.lean\",\"1d95518ba2a45d1101c4a87f6863c4e68cfbb96054a4b20e24830348092584f2\",0,\"algebra_94317\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001119.lean\",\"cefe834cf58561de164f8b55abf0285b8c937cf05ed9f394bbf54e86f4bb802d\",0,\"algebra_94324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 485955,
+      "path": "data/train/p9d/numina-000223-0000-0b54909b8de6c062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0b54909b8de6c0627f52d56b5fdfda6d5fbb6982f634c49599c9dd2c571029d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000224.json b/manifests/batches/numina/000224.json
index 1b8cf31061071d6ea6fde4e36659931c63cd46af..906b60469f389ba315df57ff7b624ca3efa6634c 100644
--- a/manifests/batches/numina/000224.json
+++ b/manifests/batches/numina/000224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000224",
   "batch_fingerprint": "fb92d6e27d1d9ab30d803110d556ed2418ca97e8d117a5d0fbf84dd4d60fc63b",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 78,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000224-0000-f2821f0e7b9d5912.parquet",
-      "sha256": "f2821f0e7b9d5912e0c982395a73c5dc1f3cc269b1d7298c929d9e051615923c",
-      "bytes": 742125,
-      "rows": 53,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000224-0000-04bf7b0da7edc1ec.parquet",
-      "sha256": "04bf7b0da7edc1ec6bb49c1de8a217170f6bb9f6852c4de7fa49d3a7519ef970",
-      "bytes": 146358,
-      "rows": 25,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:d0824217-5dbc-53de-9632-0a9656104b76",
     "numina:dedf226a-bd61-566c-b981-d8b5ede4d88e",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001122.lean\",\"490f8874154f238c55cbb92b4b1293885c76d744bc2120f092f3ce821a66d52f\",0,\"number_theory_691\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001123.lean\",\"f4d6d66513c4061cff708713ed29d9377edf66a82ca5a8bf159fd81a549dc786\",0,\"number_theory_94402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001124.lean\",\"6ce8fb753a37fc179dd4ff67f69bce869006bfc632a0e9df1fcfa6fd5e3f8828\",0,\"algebra_94404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 742125,
+      "path": "data/train/p7c/numina-000224-0000-f2821f0e7b9d5912.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "f2821f0e7b9d5912e0c982395a73c5dc1f3cc269b1d7298c929d9e051615923c"
+    },
+    {
+      "bytes": 146358,
+      "path": "data/internal_test/p7c/numina-000224-0000-04bf7b0da7edc1ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "04bf7b0da7edc1ec6bb49c1de8a217170f6bb9f6852c4de7fa49d3a7519ef970"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000225.json b/manifests/batches/numina/000225.json
index 6d79c7ace4abdd564e7f645707838f8609b05d98..195ca5c7bb8998820e4e1845160ce1b33b94630d 100644
--- a/manifests/batches/numina/000225.json
+++ b/manifests/batches/numina/000225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000225",
   "batch_fingerprint": "e63c8a4cc85268f684dcf817a581737d3ddbd790335a9df943054015123b8e6d",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 44,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000225-0000-29ece0b0543bf903.parquet",
-      "sha256": "29ece0b0543bf90385b7b21efb09286adf3a71a2404ad2f708dee5ce0f87646c",
-      "bytes": 84864,
-      "rows": 21,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/dev/numina-000225-0000-28a87a6f5df332f1.parquet",
-      "sha256": "28a87a6f5df332f1f11264fa82568567011d16fd3ca6e8c2daf176ab559a6203",
-      "bytes": 46788,
-      "rows": 10,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000225-0000-ebf0701a042d0c51.parquet",
-      "sha256": "ebf0701a042d0c51f3c1ee24d12d8fef0bfce4d556672299f5d06c755975c12f",
-      "bytes": 450967,
-      "rows": 13,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:002afc7f-0c69-5ca5-920e-d18ec508e450",
     "numina:16364ea0-2c3d-5ee0-bcf7-2b063ce7e435",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001127.lean\",\"59aa56e1167b34f8a4abfcb8f8b7761f618f194ba38636c708da17474df6f46d\",0,\"algebra_94434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001128.lean\",\"3dd3845df0157d2021e5994f8363d9c06fd107978d678dd04519026d0610f259\",0,\"number_theory_1124\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001129.lean\",\"b2805ac3cef9c7c49e7aa13b4291503cc37ba391168d5db9b8fb311500f063e4\",0,\"algebra_94456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84864,
+      "path": "data/train/p90/numina-000225-0000-29ece0b0543bf903.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "29ece0b0543bf90385b7b21efb09286adf3a71a2404ad2f708dee5ce0f87646c"
+    },
+    {
+      "bytes": 46788,
+      "path": "data/dev/p90/numina-000225-0000-28a87a6f5df332f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "28a87a6f5df332f1f11264fa82568567011d16fd3ca6e8c2daf176ab559a6203"
+    },
+    {
+      "bytes": 450967,
+      "path": "data/internal_test/p90/numina-000225-0000-ebf0701a042d0c51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ebf0701a042d0c51f3c1ee24d12d8fef0bfce4d556672299f5d06c755975c12f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000226.json b/manifests/batches/numina/000226.json
index 213a9869107355eb417cdff4a5971c51d4e90dd5..d6ea4b001c8a4bab46be7ba2e7c22b986b11e763 100644
--- a/manifests/batches/numina/000226.json
+++ b/manifests/batches/numina/000226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000226",
   "batch_fingerprint": "3f34224a7374efc5e8a109d2310e87c3c58d48db09fdcd426ed5c4d54b43cd7b",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000226-0000-f0f29583082381fc.parquet",
-      "sha256": "f0f29583082381fc8407fe6ce64191238a76b1a686856817df6df4b1120376a2",
-      "bytes": 184564,
-      "rows": 25,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/dev/numina-000226-0000-677b8b02a2657ff5.parquet",
-      "sha256": "677b8b02a2657ff5aceeb354a93656ff1d9fff1c0a64301b63984feb4829545f",
-      "bytes": 46896,
-      "rows": 10,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000226-0000-dc7f48edf249f4e8.parquet",
-      "sha256": "dc7f48edf249f4e8a3b1267ef19fc1b2b37c20ce97fb38144a66f0a6c496e3e0",
-      "bytes": 224085,
-      "rows": 5,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:061d5fd5-723b-5997-96dd-950b28daf228",
     "numina:27efd39c-06fa-5559-9287-3935a6f6f116",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001132.lean\",\"820fa7e860fb3c0a5d4cc90e56fcce3dd0931b5711dcd2130bf817c3f241afb3\",0,\"AIME_number_theory_94495\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001133.lean\",\"68027b2ccf2d08d725388ca973ebb7ebe92beb30a946441978ff85f1690de60b\",0,\"combinatorics_94512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001134.lean\",\"12e0974e2adc54eaf895ceb7beed9b329548287313342e6bc8a200fcd25d0ae3\",0,\"algebra_94516\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184564,
+      "path": "data/train/p3f/numina-000226-0000-f0f29583082381fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f0f29583082381fc8407fe6ce64191238a76b1a686856817df6df4b1120376a2"
+    },
+    {
+      "bytes": 46896,
+      "path": "data/dev/p3f/numina-000226-0000-677b8b02a2657ff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "677b8b02a2657ff5aceeb354a93656ff1d9fff1c0a64301b63984feb4829545f"
+    },
+    {
+      "bytes": 224085,
+      "path": "data/internal_test/p3f/numina-000226-0000-dc7f48edf249f4e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dc7f48edf249f4e8a3b1267ef19fc1b2b37c20ce97fb38144a66f0a6c496e3e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000227.json b/manifests/batches/numina/000227.json
index 53e79d9d5dfb7b9af29c0f6512d383699c6a8e99..d77ed687ad1c725de43cee59cdaf7f24dbd5c28f 100644
--- a/manifests/batches/numina/000227.json
+++ b/manifests/batches/numina/000227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000227",
   "batch_fingerprint": "4d5408dad56a5fc7887c57f1e7fd9fcab6e4e0fc5dd9dc1206a83ef22938df62",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000227-0000-c176d72f13577f9e.parquet",
-      "sha256": "c176d72f13577f9e1be7ae91dc327943a42f2d87be2cc854a22a499766d7740f",
-      "bytes": 299599,
-      "rows": 32,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000227-0000-9cbd84ac345be564.parquet",
-      "sha256": "9cbd84ac345be5642a99a6d31b3202e1cb27f43c2af418e18f1c31bd84be57a6",
-      "bytes": 54253,
-      "rows": 4,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9c5ea65d-3f6f-5b9d-9456-0fc2263d8990",
     "numina:c85f39fa-931b-5f79-a31a-80e27720ccbe",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001136.lean\",\"cd2130c65115aae4dd0130c5966361f5526abcbd6880c21e28b55ac8f31d6da8\",0,\"algebra_94528\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001138.lean\",\"53849ac3187303c0e8e955f57978b4c338f2982e29a73a4d2955c7e22633a419\",0,\"algebra_94686\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001139.lean\",\"40603a77048690a53286c53775e2db4279adeb11a82d991b7959c258e67abb79\",0,\"other_94695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299599,
+      "path": "data/train/pf0/numina-000227-0000-c176d72f13577f9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "c176d72f13577f9e1be7ae91dc327943a42f2d87be2cc854a22a499766d7740f"
+    },
+    {
+      "bytes": 54253,
+      "path": "data/internal_test/pf0/numina-000227-0000-9cbd84ac345be564.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9cbd84ac345be5642a99a6d31b3202e1cb27f43c2af418e18f1c31bd84be57a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000228.json b/manifests/batches/numina/000228.json
index 89f0d294c01d6f38e6c42fb051560a861e2aa003..712ad0aa8d5d8b77557524fa181a15bd00ce18dc 100644
--- a/manifests/batches/numina/000228.json
+++ b/manifests/batches/numina/000228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000228",
   "batch_fingerprint": "a082c62e28304de1072d8bfc0de30985858895608074804217ad19613fbb3a86",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 56,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000228-0000-ddee4c3a4041ae00.parquet",
-      "sha256": "ddee4c3a4041ae0095b01288b528c2db09849c53a50efc2e09bcb04c8f7a7592",
-      "bytes": 374361,
-      "rows": 53,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000228-0000-a7afc08d95099856.parquet",
-      "sha256": "a7afc08d95099856618d36de3dd09aa30a9c69d1c2758976e7cfaad7943e9742",
-      "bytes": 50212,
-      "rows": 3,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ff38ffb-0192-573a-8cf7-2fba18e1ef75",
     "numina:13087d58-bdb7-5e01-a4ff-6518bf39aa68",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001142.lean\",\"2a0c4d9427b27b37acd6bce111a1dc9aa34e31b03b995c9a5dd82e2c25af6d2e\",0,\"AIME_algebra_94794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001143.lean\",\"0fa2938b23b287b19deeeec368c55abb8e64da68411b24203596caee9152c73d\",0,\"algebra_94813\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001144.lean\",\"caee1573319525cc9bc1828af3cc3a9177f247f05857889472daa5322f2cd80e\",0,\"AIME_Algebra_94817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374361,
+      "path": "data/train/p76/numina-000228-0000-ddee4c3a4041ae00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "ddee4c3a4041ae0095b01288b528c2db09849c53a50efc2e09bcb04c8f7a7592"
+    },
+    {
+      "bytes": 50212,
+      "path": "data/internal_test/p76/numina-000228-0000-a7afc08d95099856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a7afc08d95099856618d36de3dd09aa30a9c69d1c2758976e7cfaad7943e9742"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000229.json b/manifests/batches/numina/000229.json
index 2720bfcaf66ffe319eae98458cb604037757e30a..e60fa2aaf8ead6249f034571fa9984fb2aba05c4 100644
--- a/manifests/batches/numina/000229.json
+++ b/manifests/batches/numina/000229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000229",
   "batch_fingerprint": "39fc2192e7fdc5ff0714ec97d05abbde9ade3a6be35ead49aeb5cf7bbc3b1251",
   "evidence": {
@@ -14,55 +13,56 @@
     "transitions": 121,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:038d7406-ee45-5960-b892-ee0a2903e9ce",
+    "numina:81ba86f8-f9c9-5518-811f-ae38ed107271",
+    "numina:9f21d373-12a7-5c04-9c2c-e27e3ffedf76",
+    "numina:e6df7288-c6e5-58d8-96bd-a93d659ba79d",
+    "numina:fc1a9dba-c3ac-5feb-9fdd-fddd0288a8d2"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001145.lean\",\"8c59affbe5b25f9bccd5a79dd1094cbd2bef3dc2b00a9a27fc678e1177634a6a\",0,\"algebra_94828\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001146.lean\",\"cb1993a4d2d458aa2b3bf1190af3bfef6086d4bba1aa47a4be5cca5905bf97b0\",0,\"numbertheory_1147\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001147.lean\",\"19da5aeb9a623f02136d6ceb7528861f7699615d1a0db3a2d02d3ec25033f122\",0,\"algebra_94902\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001148.lean\",\"f4a8f9dbb9ef1a7c749e736c6a89ecd380384cd5529431d5094a124fc0a4411d\",0,\"algebra_94910\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001149.lean\",\"e5b1de7db01bea2ae2cd41bac8f6237a8336cf249de66ae8f1310424848a70a9\",0,\"geometry_94936\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000229-0000-71d40eff33cce93f.parquet",
-      "sha256": "71d40eff33cce93f64d624e50573fe3b08a9c618f0f6a07e72b2fbcc1bfe0871",
       "bytes": 651367,
+      "path": "data/train/p94/numina-000229-0000-71d40eff33cce93f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 82,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
+      "sha256": "71d40eff33cce93f64d624e50573fe3b08a9c618f0f6a07e72b2fbcc1bfe0871"
     },
     {
-      "path": "data/train/numina-000229-0001-ece4ba8817944685.parquet",
-      "sha256": "ece4ba8817944685d61299d0a6e2c28de084efd717deef093e02bd166212b1d5",
       "bytes": 466168,
+      "path": "data/train/p94/numina-000229-0001-ece4ba8817944685.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
+      "sha256": "ece4ba8817944685d61299d0a6e2c28de084efd717deef093e02bd166212b1d5"
     },
     {
-      "path": "data/train/numina-000229-0002-97441f01cd31bc13.parquet",
-      "sha256": "97441f01cd31bc13332d7420958f8b22b69d6de760355efc4a8478c4e3f0c14c",
       "bytes": 467836,
+      "path": "data/train/p94/numina-000229-0002-97441f01cd31bc13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
+      "sha256": "97441f01cd31bc13332d7420958f8b22b69d6de760355efc4a8478c4e3f0c14c"
     },
     {
-      "path": "data/train/numina-000229-0003-45141279523b4234.parquet",
-      "sha256": "45141279523b4234d1cae5daa7853480830168b0e38acfe1d0cf85351405dc77",
       "bytes": 491342,
+      "path": "data/train/p94/numina-000229-0003-45141279523b4234.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
+      "sha256": "45141279523b4234d1cae5daa7853480830168b0e38acfe1d0cf85351405dc77"
     },
     {
-      "path": "data/train/numina-000229-0004-fadc7739a9fe8a2d.parquet",
-      "sha256": "fadc7739a9fe8a2dc5e1593118cdacb003e41277a58c2a6922bb077b2583e34c",
       "bytes": 51330,
+      "path": "data/train/p94/numina-000229-0004-fadc7739a9fe8a2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
+      "sha256": "fadc7739a9fe8a2dc5e1593118cdacb003e41277a58c2a6922bb077b2583e34c"
     }
-  ],
-  "proof_ids": [
-    "numina:038d7406-ee45-5960-b892-ee0a2903e9ce",
-    "numina:81ba86f8-f9c9-5518-811f-ae38ed107271",
-    "numina:9f21d373-12a7-5c04-9c2c-e27e3ffedf76",
-    "numina:e6df7288-c6e5-58d8-96bd-a93d659ba79d",
-    "numina:fc1a9dba-c3ac-5feb-9fdd-fddd0288a8d2"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001145.lean\",\"8c59affbe5b25f9bccd5a79dd1094cbd2bef3dc2b00a9a27fc678e1177634a6a\",0,\"algebra_94828\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001146.lean\",\"cb1993a4d2d458aa2b3bf1190af3bfef6086d4bba1aa47a4be5cca5905bf97b0\",0,\"numbertheory_1147\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001147.lean\",\"19da5aeb9a623f02136d6ceb7528861f7699615d1a0db3a2d02d3ec25033f122\",0,\"algebra_94902\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001148.lean\",\"f4a8f9dbb9ef1a7c749e736c6a89ecd380384cd5529431d5094a124fc0a4411d\",0,\"algebra_94910\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001149.lean\",\"e5b1de7db01bea2ae2cd41bac8f6237a8336cf249de66ae8f1310424848a70a9\",0,\"geometry_94936\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000230.json b/manifests/batches/numina/000230.json
index e5288f41dbad77e7f41f4a960ff1dfc227dbb3c8..b061dbcd29c8da4ba21709a6525ba2024092a2ad 100644
--- a/manifests/batches/numina/000230.json
+++ b/manifests/batches/numina/000230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000230",
   "batch_fingerprint": "e709de7631f18c8834b77fa58f529012664dce6b44f8b9771e0ce849eac28931",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000230-0000-278870caf476c29c.parquet",
-      "sha256": "278870caf476c29c482218e4a9b9024a8e7fb859a33d1f4e223f4290252e1951",
-      "bytes": 121893,
-      "rows": 11,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000230-0000-0b67f0610a0e52a4.parquet",
-      "sha256": "0b67f0610a0e52a479c3fbb640a4198e76f66423a5eb8b32dc27a721f0b4d3eb",
-      "bytes": 221838,
-      "rows": 24,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:53be6301-ad2f-585e-9aab-25ee85c22862",
     "numina:58eb435e-baba-597a-8bc8-cf3ed6b9344f",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001152.lean\",\"64ac6d8f1920dd7918f849fcb11a5a8eecd0ca56aea3e4a4281f3068c75b0f19\",0,\"algebra_95071\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001153.lean\",\"1749503cf70c6306a051e7cf6deae0e4506fddb60f489620b87dc4af326dfb12\",0,\"number_theory_95080\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001154.lean\",\"d09ae7b199ec0d53e4b97e667d17b617b6eeed41a39ffe5d9955322b35042483\",0,\"algebra_95094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121893,
+      "path": "data/train/p00/numina-000230-0000-278870caf476c29c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "278870caf476c29c482218e4a9b9024a8e7fb859a33d1f4e223f4290252e1951"
+    },
+    {
+      "bytes": 221838,
+      "path": "data/internal_test/p00/numina-000230-0000-0b67f0610a0e52a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0b67f0610a0e52a479c3fbb640a4198e76f66423a5eb8b32dc27a721f0b4d3eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000231.json b/manifests/batches/numina/000231.json
index e8825271c5abd72e8615f1443ed84b32c075ca29..4ba07151eeb5cc3981b2a4d7d88b3035063e908f 100644
--- a/manifests/batches/numina/000231.json
+++ b/manifests/batches/numina/000231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000231",
   "batch_fingerprint": "c8f4b8fb0fcc87f649a227995318e1168fa8be14751ffdaf8367eb52d4f339e3",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 61,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000231-0000-d0e7ec0b01c55bee.parquet",
-      "sha256": "d0e7ec0b01c55bee11dead0451d94bec288ed42d8ddb4e61a28da9d2c0b75867",
-      "bytes": 466712,
-      "rows": 61,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1245bee7-9e60-5106-8bf1-d7b4b1bf2038",
     "numina:2655db2e-d6bd-5a62-9692-773b41bd5874",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001157.lean\",\"613e4f1ae561ab81bb83da7b7ed905f11744fc0954b90c673a2625801cc96320\",0,\"algebra_95117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001158.lean\",\"0afe71e01e5eb9fa7eb3108bda44863769c8c55b3d18611b4d650550a1d0576d\",0,\"algebra_1149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001159.lean\",\"1aaf0637c852196549e2b5f8a9474e6e43bde292be58718a753990b370ac14aa\",0,\"algebra_95136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466712,
+      "path": "data/train/p94/numina-000231-0000-d0e7ec0b01c55bee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "d0e7ec0b01c55bee11dead0451d94bec288ed42d8ddb4e61a28da9d2c0b75867"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000232.json b/manifests/batches/numina/000232.json
index 023ae9ec01f76239702202b17406e98f9af15344..b6a51c7a65d3e2c3b15e1ca7ada4f6f67154051e 100644
--- a/manifests/batches/numina/000232.json
+++ b/manifests/batches/numina/000232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000232",
   "batch_fingerprint": "591295994c5ec6fb9fd7e6ed1c0944e1563551bbaba43e44d89ee9a81e59720a",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 42,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000232-0000-2e02a83b384b9be1.parquet",
-      "sha256": "2e02a83b384b9be13a23c02b8048cf2d945b525fd71f14a00d67b4f71e963e3e",
-      "bytes": 819575,
-      "rows": 33,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000232-0000-fec00b1774078264.parquet",
-      "sha256": "fec00b17740782645430a01249a089cbc0f12c374f5d8ff741dc73b80abebbb9",
-      "bytes": 69306,
-      "rows": 9,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4fceecce-572a-5a3e-8e3b-68b57914ad30",
     "numina:5198b681-ba0a-5036-837a-217e9ea74918",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001162.lean\",\"55bb15a8a1d8b8962a461bdf8eed7312e46f8f37db7842a6d36f23b0bc9b7c65\",0,\"number_theory_95263\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001163.lean\",\"6749d1c9480ef2ffa9f22a4aa81a05d6f3593c4fa91d02427b5fdc08d09dcba0\",0,\"number_theory_95271\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001164.lean\",\"36f8979c9ecc69cf2d851b340d78ca7887fa93b46a4fbe500c04778a2e05d3d4\",0,\"algebra_95282\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 819575,
+      "path": "data/train/p14/numina-000232-0000-2e02a83b384b9be1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2e02a83b384b9be13a23c02b8048cf2d945b525fd71f14a00d67b4f71e963e3e"
+    },
+    {
+      "bytes": 69306,
+      "path": "data/internal_test/p14/numina-000232-0000-fec00b1774078264.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fec00b17740782645430a01249a089cbc0f12c374f5d8ff741dc73b80abebbb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000233.json b/manifests/batches/numina/000233.json
index dc46f48520ad66f1f5dd393c903b5a467cf726c0..4098c9c5d63e85b9a369d2ab7da0d3f011c8f79c 100644
--- a/manifests/batches/numina/000233.json
+++ b/manifests/batches/numina/000233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000233",
   "batch_fingerprint": "1055274577d25c3f4b6117d95975b9cc1b3670737e244ac1498a17d5a0f92fcd",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000233-0000-00c017fa5c099372.parquet",
-      "sha256": "00c017fa5c099372effda4dc968283628d2288c147fcc6f8bf933818d80ac350",
-      "bytes": 753427,
-      "rows": 30,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/dev/numina-000233-0000-43036eb064b66999.parquet",
-      "sha256": "43036eb064b669991effa62e1936174b5ce8da58bc9a839f6a71bee8a1721ce9",
-      "bytes": 64596,
-      "rows": 4,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000233-0000-0c9fd38f1fc719fc.parquet",
-      "sha256": "0c9fd38f1fc719fc2cadeba32a01364f6fc4cf186ef50887ff6c3ad98ea68656",
-      "bytes": 129569,
-      "rows": 14,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dd8fa4d-0b09-5327-a710-e655904084d1",
     "numina:2ecb6e8f-fe3f-5f58-a9fb-e6165842188f",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001167.lean\",\"bb88abb2d4ea6de94e90cbf5318f3bef2501e6c32896b90825f029eb9fc27b8c\",0,\"algebra_95318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001168.lean\",\"d249c7b6db31d5466be2c67b92ce3f93e82651b28a87b1199ca13425986a6bba\",0,\"algebra_95395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001169.lean\",\"a3e09bf46fd4c6f0af51df5cbb2e8436cfdc8551856cb8ff9628a2e3ae07cc3c\",0,\"algebra_95412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753427,
+      "path": "data/train/pc7/numina-000233-0000-00c017fa5c099372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "00c017fa5c099372effda4dc968283628d2288c147fcc6f8bf933818d80ac350"
+    },
+    {
+      "bytes": 64596,
+      "path": "data/dev/pc7/numina-000233-0000-43036eb064b66999.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "43036eb064b669991effa62e1936174b5ce8da58bc9a839f6a71bee8a1721ce9"
+    },
+    {
+      "bytes": 129569,
+      "path": "data/internal_test/pc7/numina-000233-0000-0c9fd38f1fc719fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0c9fd38f1fc719fc2cadeba32a01364f6fc4cf186ef50887ff6c3ad98ea68656"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000234.json b/manifests/batches/numina/000234.json
index 964e60a06ca6ce0e87bb6f055a6dc359d779ffc9..b09d4497a9e2f96f264b4e5784fdb214549823da 100644
--- a/manifests/batches/numina/000234.json
+++ b/manifests/batches/numina/000234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000234",
   "batch_fingerprint": "5da1f0afde19f5ed985b7d17cb47fc088959380bd65dbb5cb9978007f218cc5c",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000234-0000-49718b71ba1aa9d5.parquet",
-      "sha256": "49718b71ba1aa9d5c51aed2b59bc1bb5700447902390ddb845ec917d140602d2",
-      "bytes": 155943,
-      "rows": 8,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/dev/numina-000234-0000-a28f6482159b6ae3.parquet",
-      "sha256": "a28f6482159b6ae32e620c67060c853f7ab2cb312d11abed34d08fc7e25ae8e2",
-      "bytes": 168455,
-      "rows": 13,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000234-0000-87a394e408e22707.parquet",
-      "sha256": "87a394e408e227072a7b47ab45bd50c6f3ff9633cfcfc8026d9bdd356279254f",
-      "bytes": 534336,
-      "rows": 8,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:066db3f9-95df-5875-ab59-701c52f1e340",
     "numina:325ee1b6-e7cb-517c-a3d7-e79ab5ecafc6",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001172.lean\",\"348f90de31f426e85cf8d3c45cb80a7f0766908d5c12c8a7450198ca784d98a4\",0,\"number_theory_95434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001173.lean\",\"6b357b7d39711a3f65b669837e9c4340321b81e6670b0a1a09ba61e14f2c7ecf\",0,\"number_theory_95455\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001174.lean\",\"7b693278bc6fbea58e8c84efde3262e085591d88b429f22a0f98a200cc206b3b\",0,\"number_theory_95482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155943,
+      "path": "data/train/pa0/numina-000234-0000-49718b71ba1aa9d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "49718b71ba1aa9d5c51aed2b59bc1bb5700447902390ddb845ec917d140602d2"
+    },
+    {
+      "bytes": 168455,
+      "path": "data/dev/pa0/numina-000234-0000-a28f6482159b6ae3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a28f6482159b6ae32e620c67060c853f7ab2cb312d11abed34d08fc7e25ae8e2"
+    },
+    {
+      "bytes": 534336,
+      "path": "data/internal_test/pa0/numina-000234-0000-87a394e408e22707.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "87a394e408e227072a7b47ab45bd50c6f3ff9633cfcfc8026d9bdd356279254f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000235.json b/manifests/batches/numina/000235.json
index d38dea60c053a232fee043cf573714ba46548925..8d653db86b9565bddc4c159107cbc06b01c18d79 100644
--- a/manifests/batches/numina/000235.json
+++ b/manifests/batches/numina/000235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000235",
   "batch_fingerprint": "314866846206369b53485cc0ea2c03182749196676642cbcc5da5830cd4a16df",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 54,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000235-0000-e3c9f8418f65891f.parquet",
-      "sha256": "e3c9f8418f65891f2078e85598c20d18498ab8ff365772fdd27fd4c1b4ff4dc4",
-      "bytes": 151815,
-      "rows": 33,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000235-0000-688ba1a3c37954bb.parquet",
-      "sha256": "688ba1a3c37954bb15f08f77a546d45703d3d70d983d74d49e43711257e1f294",
-      "bytes": 68595,
-      "rows": 21,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dbe0e4a-7c9e-509a-b523-5610a9e64890",
     "numina:235cd3b3-2e7b-5310-b92b-a0f8ee02c67f",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001177.lean\",\"4c5d6585c0711a19c21944d14539c55f99792a48b0b39df57413e42438ef4519\",0,\"combinatorics_95509\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001178.lean\",\"11debff7b551f75340040e64819984d8b3e73a583e22b9c3d6f684dff0d8b1f0\",0,\"alg_1152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001179.lean\",\"d7d7dc87a06bb6806b58e6e2930790f61ea577860f899c29826c40b2da3c83dd\",0,\"algebra_95560\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151815,
+      "path": "data/train/p9f/numina-000235-0000-e3c9f8418f65891f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e3c9f8418f65891f2078e85598c20d18498ab8ff365772fdd27fd4c1b4ff4dc4"
+    },
+    {
+      "bytes": 68595,
+      "path": "data/internal_test/p9f/numina-000235-0000-688ba1a3c37954bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "688ba1a3c37954bb15f08f77a546d45703d3d70d983d74d49e43711257e1f294"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000236.json b/manifests/batches/numina/000236.json
index c6804f4e6f10d140a33eaaefa6c0612358eb4dd3..fef1f7c42bd821e60bae16689a1681740621b258 100644
--- a/manifests/batches/numina/000236.json
+++ b/manifests/batches/numina/000236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000236",
   "batch_fingerprint": "b0fd2149c92c4eb8e418f20cdb741dd2c077bc841e76a6c99ef13b8942335ce7",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 58,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000236-0000-c7986cab0df22bd2.parquet",
-      "sha256": "c7986cab0df22bd278daba14dffa3a8aaad3a772e9109e5ed539b02784789e8a",
-      "bytes": 740595,
-      "rows": 32,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/train/numina-000236-0001-0adf913dd8f945e5.parquet",
-      "sha256": "0adf913dd8f945e594cfa20b2f64bf10722b061328b4860d5ef914fae411c2da",
-      "bytes": 328405,
-      "rows": 19,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000236-0000-0d2f53123b66ac29.parquet",
-      "sha256": "0d2f53123b66ac29b4ef130df9908764ffbfd3f2669c246ee350a301dcbcc6d3",
-      "bytes": 76870,
-      "rows": 7,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38831c0b-28d5-5fdf-bbf4-faf4367a7491",
     "numina:4dda4a24-9fcc-5bda-826b-0d6a731bede6",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001182.lean\",\"75dfe6331780d90b363cf6e6959b3dcc2678e8c8292b0d5b63f6b2f8af49048e\",0,\"number_theory_95605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001183.lean\",\"1c600e665a2a026d2b2a765144691a2c4c358717a0d593ebad2807964ee8fc5e\",0,\"number_theory_95611\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001184.lean\",\"c8246c634f2140df1a8c454af1d95e9710f925b73530163dc9a43c7166ec61e1\",0,\"algebra_95644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 740595,
+      "path": "data/train/p62/numina-000236-0000-c7986cab0df22bd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "c7986cab0df22bd278daba14dffa3a8aaad3a772e9109e5ed539b02784789e8a"
+    },
+    {
+      "bytes": 328405,
+      "path": "data/train/p62/numina-000236-0001-0adf913dd8f945e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0adf913dd8f945e594cfa20b2f64bf10722b061328b4860d5ef914fae411c2da"
+    },
+    {
+      "bytes": 76870,
+      "path": "data/internal_test/p62/numina-000236-0000-0d2f53123b66ac29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0d2f53123b66ac29b4ef130df9908764ffbfd3f2669c246ee350a301dcbcc6d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000237.json b/manifests/batches/numina/000237.json
index 7c59472a099d965681d5c4e7f07dce398fe3e5cf..b6955dae7e7d6ca94d7ed5678042b2e4b553e8bd 100644
--- a/manifests/batches/numina/000237.json
+++ b/manifests/batches/numina/000237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000237",
   "batch_fingerprint": "38ebaadcf7ba03a42a1c507e00d5aaf204e76c30b151f13a88b948cc2e12b0e2",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000237-0000-e8472996c3b78e0c.parquet",
-      "sha256": "e8472996c3b78e0c58119c13f2b21d315dd4124c0447bba9b01c1a97077a3b94",
-      "bytes": 430688,
-      "rows": 27,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f3e3a32-7ce8-537e-8c0b-9edebf850c35",
     "numina:7d18b915-0644-54a1-9250-d8151aed9769",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001187.lean\",\"9869a224e0c17d480a25c4d3a7452ec4d585b8d5783ad7f912b09399680811e5\",4,\"algebra_95687\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001188.lean\",\"7b8a55e91e9de2f1cff38dfa2b385484f53d6ecbed11a678d8ab2508a3479ccc\",0,\"algebra_95692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001189.lean\",\"51cb19485fda6a83649f730d442a3536ad617cc189c2fb92948d642eb34df168\",0,\"algebra_95701\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 430688,
+      "path": "data/train/p2a/numina-000237-0000-e8472996c3b78e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e8472996c3b78e0c58119c13f2b21d315dd4124c0447bba9b01c1a97077a3b94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000238.json b/manifests/batches/numina/000238.json
index 53aa1faac211c69c486dc39d1216de9bb1f66a98..3349bc1769e48002dc526b282afa847447521845 100644
--- a/manifests/batches/numina/000238.json
+++ b/manifests/batches/numina/000238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000238",
   "batch_fingerprint": "640e83f72c4e91d565ec8fe859a74534d76f3174022cfc69f72521704a65d4ed",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 65,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000238-0000-f8e265df49f6f866.parquet",
-      "sha256": "f8e265df49f6f866ee93a39ce0d5d0ff4c921d005699954b47c4d1694cf28d87",
-      "bytes": 753195,
-      "rows": 62,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/train/numina-000238-0001-3d8c15756cd71902.parquet",
-      "sha256": "3d8c15756cd7190276b7033e271fc0fb525b4ed45d983813c06e9e17dd574cd9",
-      "bytes": 89170,
-      "rows": 3,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41a8c5f8-1a24-5405-bde4-bd1a613a4fba",
     "numina:4672f5e1-c1ff-521f-85b4-60a118812365",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001192.lean\",\"12326e5bde124ec50e8c489c96af5a224e20cd577abdcb8ac6cecb720861d754\",0,\"number_theory_95815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001193.lean\",\"8e64218ce700c4089816dd3acdef8c06a75ca79cf580773379d71ee0d2807b47\",0,\"number_theory_1132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001194.lean\",\"809cc9a1e0abfca7a1a4207571845dffd0f4750c5f7d51ccb423288f62ee2c20\",0,\"number_theory_702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753195,
+      "path": "data/train/pa3/numina-000238-0000-f8e265df49f6f866.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "f8e265df49f6f866ee93a39ce0d5d0ff4c921d005699954b47c4d1694cf28d87"
+    },
+    {
+      "bytes": 89170,
+      "path": "data/train/pa3/numina-000238-0001-3d8c15756cd71902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d8c15756cd7190276b7033e271fc0fb525b4ed45d983813c06e9e17dd574cd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000239.json b/manifests/batches/numina/000239.json
index 7363d0e9d8795eefc39b57ff76192640d9361c13..e2d0e041d29c055bc4f669131d26b902a42de5f4 100644
--- a/manifests/batches/numina/000239.json
+++ b/manifests/batches/numina/000239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000239",
   "batch_fingerprint": "b27766b5f4e27bf6013f7719909744fa438faf29bfc86e4daedc69a87b734d76",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 30,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000239-0000-6144e34bb1d7881a.parquet",
-      "sha256": "6144e34bb1d7881a815db409ffac47ca88e8a9d559682071d1787a599c340da3",
-      "bytes": 685152,
-      "rows": 11,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/train/numina-000239-0001-04f3def0e053cdae.parquet",
-      "sha256": "04f3def0e053cdaec44d9fd8d2eed0688b8457cffe4b7921ea442052c3d12249",
-      "bytes": 410550,
-      "rows": 17,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    },
-    {
-      "path": "data/internal_test/numina-000239-0000-2967d01bbbcdf74a.parquet",
-      "sha256": "2967d01bbbcdf74a97fa8506a4cd95b825b499d3e7698ce4fef59cf43eb2c0d0",
-      "bytes": 35151,
-      "rows": 2,
-      "revision": "1c6fed516f72618843c2e673b0d3b76bbd331f32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4029a0c5-7ac7-5e48-94d1-33fc4a55dbd7",
     "numina:6076c1be-3eb6-5043-8aab-782b27def14c",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001197.lean\",\"9b29c14429c5eaf8727970c58a1bb49ff38049eba24509480d06c8918192ec26\",0,\"calculus_1135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001198.lean\",\"513eeb7e9efd6a0229a83e9e85b5ea0246adb3cc1e53c1cebecff312f46e1d95\",0,\"number_theory_95883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001199.lean\",\"13b1fba477f22b46b45c80a66d228e32f084a1ce0923fdbb7e9b0abcb2bc7f83\",0,\"algebra_95915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 685152,
+      "path": "data/train/p8e/numina-000239-0000-6144e34bb1d7881a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6144e34bb1d7881a815db409ffac47ca88e8a9d559682071d1787a599c340da3"
+    },
+    {
+      "bytes": 410550,
+      "path": "data/train/p8e/numina-000239-0001-04f3def0e053cdae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "04f3def0e053cdaec44d9fd8d2eed0688b8457cffe4b7921ea442052c3d12249"
+    },
+    {
+      "bytes": 35151,
+      "path": "data/internal_test/p8e/numina-000239-0000-2967d01bbbcdf74a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2967d01bbbcdf74a97fa8506a4cd95b825b499d3e7698ce4fef59cf43eb2c0d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000240.json b/manifests/batches/numina/000240.json
index cebec1a64e3c34b611e2391f69defae938d35e20..54bf24b930559e3230c40597f36a05996392e0a6 100644
--- a/manifests/batches/numina/000240.json
+++ b/manifests/batches/numina/000240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000240",
   "batch_fingerprint": "834f9c1b25c3d6d5518f8db9fe08ffe31161e2e008f8879ef9f49bcdc0852c19",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000240-0000-dd18a764d691dac4.parquet",
-      "sha256": "dd18a764d691dac491b10926c62e73d6a87804aba5024ed110f201dad15164f8",
-      "bytes": 62767,
-      "rows": 6,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/dev/numina-000240-0000-244875edfc9382a5.parquet",
-      "sha256": "244875edfc9382a54f391c3c2d9c8f76d002349a61649775c3f69c7e6f87364e",
-      "bytes": 222713,
-      "rows": 24,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000240-0000-fac2b53a9269b210.parquet",
-      "sha256": "fac2b53a9269b210d67ef3fef1be201b4708298b95f8f48dde0ecc1c018c73a0",
-      "bytes": 168264,
-      "rows": 11,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d0a8543-c755-5f57-a850-b93947be6e77",
     "numina:23ba0c07-049d-5062-9c63-a1a1de98e897",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001202.lean\",\"8d4e529518d4b61da3c4b71003e553651679320cc575ceacfe683da7ce8a1db6\",0,\"number_theory_95964\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001203.lean\",\"0eb8cad52b42dffd4a44992461d7d683755a5c8e76c8e32f0e6e8bf2f5eca4ed\",0,\"algebra_96009\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001204.lean\",\"9b21a5ab160f407b0a747135d2b31e1c78376acf29e67fa6c018b23889be1dd6\",0,\"algebra_96021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62767,
+      "path": "data/train/p5e/numina-000240-0000-dd18a764d691dac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dd18a764d691dac491b10926c62e73d6a87804aba5024ed110f201dad15164f8"
+    },
+    {
+      "bytes": 222713,
+      "path": "data/dev/p5e/numina-000240-0000-244875edfc9382a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "244875edfc9382a54f391c3c2d9c8f76d002349a61649775c3f69c7e6f87364e"
+    },
+    {
+      "bytes": 168264,
+      "path": "data/internal_test/p5e/numina-000240-0000-fac2b53a9269b210.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fac2b53a9269b210d67ef3fef1be201b4708298b95f8f48dde0ecc1c018c73a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000241.json b/manifests/batches/numina/000241.json
index aab60cdea330d7e28969e0f42367948996f82c99..8ca11fe8b356bdac43e7b32fb420353ab34f0fdb 100644
--- a/manifests/batches/numina/000241.json
+++ b/manifests/batches/numina/000241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000241",
   "batch_fingerprint": "9d12b58be18df928fa28cb46fc25095ded7f213239d34b958adedba46ef8cc94",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000241-0000-dc0f3d30cd69d6c8.parquet",
-      "sha256": "dc0f3d30cd69d6c828ac72a5e37167a242d7556158e9deb9c38d22d50fa2b936",
-      "bytes": 243857,
-      "rows": 40,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:d349f776-03ba-505e-853c-07c71dc7c86e",
     "numina:d4794cf3-83c0-5ce6-86a9-1a9c9cf7f90b",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001207.lean\",\"85084f066bbcb2c74e556c52adef936a24a2a921ce0fc83efc4c2bb347e018be\",0,\"algebra_96112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001208.lean\",\"085e1ca82db666d3f0f1bf38064980931e76ef9379d8a3cd151cda65f564c914\",0,\"algebra_96164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001209.lean\",\"c50ee9b320a49812fe37b08e9c5c54dba3846f01511d19a64f11e1bffbcb34ec\",0,\"algebra_96182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243857,
+      "path": "data/train/pcb/numina-000241-0000-dc0f3d30cd69d6c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "dc0f3d30cd69d6c828ac72a5e37167a242d7556158e9deb9c38d22d50fa2b936"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000242.json b/manifests/batches/numina/000242.json
index c9ccd7a00f6f3cfef83b38dffe6589b8f9ae8fbc..4cb90e536ab2de6a154498b2100807f467fa5f9a 100644
--- a/manifests/batches/numina/000242.json
+++ b/manifests/batches/numina/000242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000242",
   "batch_fingerprint": "ebba23944b94ee2938591fba7a16ea7b2f19ebd9c7be3e15b1d1e92fa90a2d28",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 25,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000242-0000-70b4a0c5260d4c0c.parquet",
-      "sha256": "70b4a0c5260d4c0c4f65f8355f85a6cb14b13e4e5fdc97cc9fcf05e6d960e492",
-      "bytes": 78866,
-      "rows": 22,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000242-0000-4a749294fbdf33c8.parquet",
-      "sha256": "4a749294fbdf33c8374a861e6201623e5444329a273936b13ff9ff390a3a2417",
-      "bytes": 35489,
-      "rows": 3,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:092990f4-50ee-51ef-a499-9039cd785197",
     "numina:4209c299-1b32-5bb2-85fd-726128fe0ea1",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001212.lean\",\"c6673b666c814b8fb802e24787c9dd61c1f54f0d5c247eda13ce637b1f5a3086\",1,\"number_theory_705\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001213.lean\",\"495f7a295436625d7aac8130a1deb46d07f14e6787e64702a9dca46ee754e89a\",0,\"algebra_96249\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001214.lean\",\"b12072425ae8d1a1cb3ca61000d807fbb102c8957cc306fd9943a86a47275a4b\",0,\"algebra_96271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78866,
+      "path": "data/train/pe0/numina-000242-0000-70b4a0c5260d4c0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "70b4a0c5260d4c0c4f65f8355f85a6cb14b13e4e5fdc97cc9fcf05e6d960e492"
+    },
+    {
+      "bytes": 35489,
+      "path": "data/internal_test/pe0/numina-000242-0000-4a749294fbdf33c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a749294fbdf33c8374a861e6201623e5444329a273936b13ff9ff390a3a2417"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000243.json b/manifests/batches/numina/000243.json
index 27059f55c96814e80396f2cadcfc71894324867a..592fbb0b420bfd40e6a098ec9c8d50d8a44e9b0b 100644
--- a/manifests/batches/numina/000243.json
+++ b/manifests/batches/numina/000243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000243",
   "batch_fingerprint": "2c60c0acd551d1bc34d79066c260f14779dbaa2b8bedd38874309a3af8419fd6",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 20,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000243-0000-2fffd3fd0501fdd0.parquet",
-      "sha256": "2fffd3fd0501fdd004671805212c33aef6e252b64e9b63fb316cf9ea51494197",
-      "bytes": 270109,
-      "rows": 17,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000243-0000-8a336a115708c3d2.parquet",
-      "sha256": "8a336a115708c3d26cb1bfdb0e6969eb60e670b552216670d98d3cdadf01f91d",
-      "bytes": 33560,
-      "rows": 3,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:037d5717-5352-552c-a163-aa7f8016e51f",
     "numina:4bab645c-7087-567f-aed9-f054e5bffda1",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001217.lean\",\"21146ea66f1b89c09fa3b3a1fe971117b945238f4661102f102981c2b04d799a\",0,\"AMC_Number_Theory_1168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001218.lean\",\"d13b26b40974bbb837ff58dd8040a48a29bc0c4bccc1381c8cd6b2b9336531fc\",0,\"number_theory_96349\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001219.lean\",\"3c77520109cb98bcd229957a6b0e0e845f1fc7973f382fe7b96ff34b7373b995\",0,\"number_theory_96414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270109,
+      "path": "data/train/p53/numina-000243-0000-2fffd3fd0501fdd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2fffd3fd0501fdd004671805212c33aef6e252b64e9b63fb316cf9ea51494197"
+    },
+    {
+      "bytes": 33560,
+      "path": "data/internal_test/p53/numina-000243-0000-8a336a115708c3d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8a336a115708c3d26cb1bfdb0e6969eb60e670b552216670d98d3cdadf01f91d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000244.json b/manifests/batches/numina/000244.json
index 83f131025ed4cfd625a0f4338932f67cb98c544b..2d7ca5fb0affe01d6f0a9673049ad493ec4158e2 100644
--- a/manifests/batches/numina/000244.json
+++ b/manifests/batches/numina/000244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000244",
   "batch_fingerprint": "20c074944ec1dbc43676342a0efb3fa7adebe96dad702ea5b864f853a1ecb2fd",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 50,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000244-0000-488ff4d5e46dcc07.parquet",
-      "sha256": "488ff4d5e46dcc07c74f01968d39920e2acf0cd29f5361305d2d228b1a5899c7",
-      "bytes": 617674,
-      "rows": 43,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000244-0000-0119d4d06c722250.parquet",
-      "sha256": "0119d4d06c722250b4e08c7ebc708f12ba7c59d192aacda7af8c71c7ce979725",
-      "bytes": 65236,
-      "rows": 7,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09f6e4e5-6a2d-5205-bd89-44cfbb79edb5",
     "numina:28d8131b-8e22-58f3-9c20-de15c3a96510",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001222.lean\",\"069128cf1800d61cf923ccab93c9b207429acf11678880f454cdfffba0728f6e\",0,\"algebra_96588\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001223.lean\",\"8c317126bdab33b6e26995aa9add23ca75d6c6c86931630347f67dc6c8ffafce\",0,\"algebra_96613\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001224.lean\",\"cfbd5d01bedcde029ed235f22f06897f66b903e55d8271212b7bd603cb687d33\",0,\"algebra_96627\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617674,
+      "path": "data/train/p97/numina-000244-0000-488ff4d5e46dcc07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "488ff4d5e46dcc07c74f01968d39920e2acf0cd29f5361305d2d228b1a5899c7"
+    },
+    {
+      "bytes": 65236,
+      "path": "data/internal_test/p97/numina-000244-0000-0119d4d06c722250.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0119d4d06c722250b4e08c7ebc708f12ba7c59d192aacda7af8c71c7ce979725"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000245.json b/manifests/batches/numina/000245.json
index 7cad5e97820b62579518757307af8e1ebe275cff..a42338b1fd141589a6b61b229ce1a6e6afb377ac 100644
--- a/manifests/batches/numina/000245.json
+++ b/manifests/batches/numina/000245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000245",
   "batch_fingerprint": "d2b1fb319b5a16b62618d193ae35950a9bf3171a514d07fb912e0ee23106221f",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000245-0000-f16a3770e4cc4839.parquet",
-      "sha256": "f16a3770e4cc4839200084b24566153fa62564fc3d1120548b485a11f3949c2f",
-      "bytes": 413603,
-      "rows": 36,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/dev/numina-000245-0000-64bfd0195b8a3220.parquet",
-      "sha256": "64bfd0195b8a32208c515172e462861bf19a1b5842bb075ddecff157f3f198ea",
-      "bytes": 39473,
-      "rows": 5,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f8fb81b-cff2-5a99-894d-0438d205e096",
     "numina:44704db1-69da-505a-ae70-6d52e9fb51dc",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001227.lean\",\"a6f8f1c9b15086a3c2972e536904af3a7bd27101822941df9dc9fcdfef49766d\",0,\"algebra_96975\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001228.lean\",\"d043515c2a16f7ae6a969ec49c12be8b004bef408521825690059cf45694ad4c\",1,\"algebra_96995\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001229.lean\",\"287e00a108a48bf5c8b5f8e3c9c58c8b2babd0d19ed7a22de2d8065c52eb80a8\",0,\"alg_1184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 413603,
+      "path": "data/train/pc1/numina-000245-0000-f16a3770e4cc4839.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f16a3770e4cc4839200084b24566153fa62564fc3d1120548b485a11f3949c2f"
+    },
+    {
+      "bytes": 39473,
+      "path": "data/dev/pc1/numina-000245-0000-64bfd0195b8a3220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "64bfd0195b8a32208c515172e462861bf19a1b5842bb075ddecff157f3f198ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000246.json b/manifests/batches/numina/000246.json
index ca9b93cc42c5dced2422459e23b78bcec8f0a445..4759bd1aa9f1ae258f6c4ddd5e43c7b345c11336 100644
--- a/manifests/batches/numina/000246.json
+++ b/manifests/batches/numina/000246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000246",
   "batch_fingerprint": "533186097849e60d15311b08c3697adbea330921c7df369ab9286c9206682377",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 63,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0f6e6bd4-528a-59b3-b0a4-2843bf3a4efe",
+    "numina:29bce7bc-8b20-54ac-a8f5-e19ced415cd9",
+    "numina:9610d2e6-35b8-5e78-9993-f036a720db2d",
+    "numina:aa806651-dcb1-536a-8405-c8c6cc78878a",
+    "numina:cc76e2a3-9f24-58e3-8106-6b3320977a29"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001230.lean\",\"1739eac4e66eca6bb717fb22e2621326cd673ed80b36eabee42636a30f6ec66b\",0,\"number_theory_97041\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001231.lean\",\"ddefcf5f2d4c93b83d077a47a94894132a02fe1360f10fb26ede800e4f3652fa\",0,\"number_theory_97068\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001232.lean\",\"249c1ba9be5c461c5c00e8d16ed535038cc27d5cf9a8740e57c5b94f90043f95\",0,\"number_theory_97077_third\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001233.lean\",\"def12fda666fb4a48b4385cd16e112b72db1cb2421037848dd183221e10172b7\",0,\"number_theory_97145\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001234.lean\",\"6e51d84ab20d0ab6c95af85fb44fc8c315cf4fe6ff367e70658a1aed46d596f2\",0,\"number_theory_1154\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000246-0000-6ffff411a9ec1e72.parquet",
-      "sha256": "6ffff411a9ec1e72a7c5ee44f36e9440013b2304e01bd3c10f9c120ea9444124",
       "bytes": 438112,
+      "path": "data/train/p9f/numina-000246-0000-6ffff411a9ec1e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "6ffff411a9ec1e72a7c5ee44f36e9440013b2304e01bd3c10f9c120ea9444124"
     },
     {
-      "path": "data/train/numina-000246-0001-f7bda99a8f99cf19.parquet",
-      "sha256": "f7bda99a8f99cf191476014ea071ae3e2b85dd03e1a97cb2243d3e10faf93a2c",
       "bytes": 45209,
+      "path": "data/train/p9f/numina-000246-0001-f7bda99a8f99cf19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "f7bda99a8f99cf191476014ea071ae3e2b85dd03e1a97cb2243d3e10faf93a2c"
     },
     {
-      "path": "data/dev/numina-000246-0000-48b3f47aace2c92a.parquet",
-      "sha256": "48b3f47aace2c92a770c1ff1f8a1a42c483775e5b421ecdfd6375c0d37cd3e46",
       "bytes": 632253,
+      "path": "data/dev/p9f/numina-000246-0000-48b3f47aace2c92a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 39,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "48b3f47aace2c92a770c1ff1f8a1a42c483775e5b421ecdfd6375c0d37cd3e46"
     },
     {
-      "path": "data/internal_test/numina-000246-0000-4e20834a0ba48c44.parquet",
-      "sha256": "4e20834a0ba48c44b6730867c71fe9e57e549da48b8c1f169da99084584a6e1c",
       "bytes": 140083,
+      "path": "data/internal_test/p9f/numina-000246-0000-4e20834a0ba48c44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "4e20834a0ba48c44b6730867c71fe9e57e549da48b8c1f169da99084584a6e1c"
     }
-  ],
-  "proof_ids": [
-    "numina:0f6e6bd4-528a-59b3-b0a4-2843bf3a4efe",
-    "numina:29bce7bc-8b20-54ac-a8f5-e19ced415cd9",
-    "numina:9610d2e6-35b8-5e78-9993-f036a720db2d",
-    "numina:aa806651-dcb1-536a-8405-c8c6cc78878a",
-    "numina:cc76e2a3-9f24-58e3-8106-6b3320977a29"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001230.lean\",\"1739eac4e66eca6bb717fb22e2621326cd673ed80b36eabee42636a30f6ec66b\",0,\"number_theory_97041\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001231.lean\",\"ddefcf5f2d4c93b83d077a47a94894132a02fe1360f10fb26ede800e4f3652fa\",0,\"number_theory_97068\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001232.lean\",\"249c1ba9be5c461c5c00e8d16ed535038cc27d5cf9a8740e57c5b94f90043f95\",0,\"number_theory_97077_third\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001233.lean\",\"def12fda666fb4a48b4385cd16e112b72db1cb2421037848dd183221e10172b7\",0,\"number_theory_97145\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001234.lean\",\"6e51d84ab20d0ab6c95af85fb44fc8c315cf4fe6ff367e70658a1aed46d596f2\",0,\"number_theory_1154\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000247.json b/manifests/batches/numina/000247.json
index 05a205fb97e22e5ebd2f09e1775ac4e27a7c2061..bed0af2d8407c402d5f979623f81f001fee0893b 100644
--- a/manifests/batches/numina/000247.json
+++ b/manifests/batches/numina/000247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000247",
   "batch_fingerprint": "67e5be3fc56ab7acf3e00f94d767f40f0a42b8c8b331fe9f18157e39d9a3e464",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 30,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000247-0000-aa67a8489b0bf0b2.parquet",
-      "sha256": "aa67a8489b0bf0b242216c8f010dff7d8d4836733ec787e75a1495bca00d9a4b",
-      "bytes": 278496,
-      "rows": 30,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11893d36-a002-59f7-a373-a83cd06324b9",
     "numina:37b0c0ec-2ab3-5ede-8986-c9728c6a99f6",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001237.lean\",\"b29739b68d226a5d52e1b8be53e034a56a53845ffef4fdd5e97ff459dd55840d\",0,\"number_theory_712\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001238.lean\",\"ffd69e483e063a98253ab4772f683379af43425981b71b7c2769f10ced788c9c\",0,\"algebra_97274\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001239.lean\",\"cd3f70f53ddd6fc881290e2eba3ecaac27db62a8f5b7a8b7620b23b005450dba\",0,\"algebra_713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278496,
+      "path": "data/train/p0d/numina-000247-0000-aa67a8489b0bf0b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "aa67a8489b0bf0b242216c8f010dff7d8d4836733ec787e75a1495bca00d9a4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000248.json b/manifests/batches/numina/000248.json
index 3637ed8eaba2d208d001e6bcd966c7b7ab0fbd7b..0548a4fedfe99284ec9f75c10ce518fca491305a 100644
--- a/manifests/batches/numina/000248.json
+++ b/manifests/batches/numina/000248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000248",
   "batch_fingerprint": "4bc8037be3dd402c37f0edf47db8cdbf0b5dae453c809822b9f1e5fdbd2f928e",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 66,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000248-0000-8fc06ce23c320bc4.parquet",
-      "sha256": "8fc06ce23c320bc48d3115af6e5a3615a6ebf050206ddcba5159682b07b22236",
-      "bytes": 404819,
-      "rows": 66,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:37b0c0ec-2ab3-5ede-8986-c9728c6a99f6",
     "numina:822c1ae1-0842-5815-a701-0089fed0d06d",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001242.lean\",\"c6c96a9d3102fc3d2bc2ece89abdf01d2d1e7b480b986ee78c69c88c422a5892\",0,\"problem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001243.lean\",\"431c14a8dc06ec86d1872c7a49b25c34af4079819d74d2be6cb06bc2deb75a6d\",0,\"algebra_97515\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001244.lean\",\"f3095aa3198d92e0a58d009c36c37c35e93557dcd2193dec41fef1a118f8592b\",0,\"algebra_97534\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404819,
+      "path": "data/train/p4f/numina-000248-0000-8fc06ce23c320bc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "8fc06ce23c320bc48d3115af6e5a3615a6ebf050206ddcba5159682b07b22236"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000249.json b/manifests/batches/numina/000249.json
index f00380f10e3dd97160182750de6293ce3071fa98..16bb8b369f3be4db4d1e8f333508285966f21ef0 100644
--- a/manifests/batches/numina/000249.json
+++ b/manifests/batches/numina/000249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000249",
   "batch_fingerprint": "b95d42dd905ed444d4bdfc32da4af14b23fd216dc13d0458101c28bd6c984f97",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000249-0000-cafe7608f54d62d2.parquet",
-      "sha256": "cafe7608f54d62d202783c0a6ea2a22ed430e534b84cb3b179a29d2a441d30d9",
-      "bytes": 275695,
-      "rows": 26,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/train/numina-000249-0001-0ad39ee98f6ffa35.parquet",
-      "sha256": "0ad39ee98f6ffa3581a2180f700a1a03a56dd60e81f197994f3df94ecbc45d39",
-      "bytes": 788490,
-      "rows": 7,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/train/numina-000249-0002-48a73ba0898deb61.parquet",
-      "sha256": "48a73ba0898deb6112651c9cd155f759f44b750b4c57ec8cd3c6fba905f1dfa4",
-      "bytes": 280279,
-      "rows": 15,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23632c47-0850-5dce-b7e3-0d91e4632874",
     "numina:2e36a9b3-3bd4-551c-bf4f-8aad7d6247f0",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001247.lean\",\"6b7380998aec58b218a016d4103079ff5f2b6ec1ae21dbd15f0c12ed36d645ef\",0,\"other_97727\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001248.lean\",\"8b028e2b8fc72f9110729158a0a31a366f77fe2097cd44d1a1e0e2490159fbd1\",0,\"alg_1167\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001249.lean\",\"15b04b02571be6f293da35297d6d06321c859bed9b93a34f25407c9d8bea8cf7\",0,\"number_theory_93358\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275695,
+      "path": "data/train/p64/numina-000249-0000-cafe7608f54d62d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "cafe7608f54d62d202783c0a6ea2a22ed430e534b84cb3b179a29d2a441d30d9"
+    },
+    {
+      "bytes": 788490,
+      "path": "data/train/p64/numina-000249-0001-0ad39ee98f6ffa35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0ad39ee98f6ffa3581a2180f700a1a03a56dd60e81f197994f3df94ecbc45d39"
+    },
+    {
+      "bytes": 280279,
+      "path": "data/train/p64/numina-000249-0002-48a73ba0898deb61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "48a73ba0898deb6112651c9cd155f759f44b750b4c57ec8cd3c6fba905f1dfa4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000250.json b/manifests/batches/numina/000250.json
index c23df8687d130c4bc81e2a3be8bb8090a1d2e936..2075b37c539007ae2e41d21ab1d04bc7e0c7f8dd 100644
--- a/manifests/batches/numina/000250.json
+++ b/manifests/batches/numina/000250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000250",
   "batch_fingerprint": "05a56de737d707e8991fb230bbb085733faeb31290c301e7586259e65402c20c",
   "evidence": {
@@ -52,22 +51,7 @@
     "transitions": 45,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000250-0000-90bbc547f734caff.parquet",
-      "sha256": "90bbc547f734caff3dfad0714b0fd976e96b8c9760123e633adf5f2d5bcd087f",
-      "bytes": 568199,
-      "rows": 39,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/train/numina-000250-0001-3616006f179cf581.parquet",
-      "sha256": "3616006f179cf581e1146599987f55dd4d16f2ca9c5a2cfcb6558b840b3f75b8",
-      "bytes": 416787,
-      "rows": 6,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0934d969-248f-5f54-85b5-de2082b98fab",
     "numina:9e0d8083-e798-5bdb-b63f-04efc52b6477",
@@ -77,5 +61,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001250.lean\",\"4d30386f0086ca83b39f48c3737519e1ec4662b3a3cc23322218a1889ddd62cc\",0,\"algebra_97849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001251.lean\",\"065896a0645e0857e4c5561e8b7f07fce6e7771155ba05653f686c74d07cfedd\",0,\"AMC_Number_Theory_1170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001254.lean\",\"13113331610da0d677ba0c411628477c60037c5009559d7d84b0d1ac11b76f19\",0,\"number_theory_98033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 568199,
+      "path": "data/train/p11/numina-000250-0000-90bbc547f734caff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "90bbc547f734caff3dfad0714b0fd976e96b8c9760123e633adf5f2d5bcd087f"
+    },
+    {
+      "bytes": 416787,
+      "path": "data/train/p11/numina-000250-0001-3616006f179cf581.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3616006f179cf581e1146599987f55dd4d16f2ca9c5a2cfcb6558b840b3f75b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000251.json b/manifests/batches/numina/000251.json
index b7a46b6880b2be9ad2a61d3f75359de876d35380..6bf3571a6f06c0aa1843b0dd1ce2cf2fe68e5916 100644
--- a/manifests/batches/numina/000251.json
+++ b/manifests/batches/numina/000251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000251",
   "batch_fingerprint": "31e6d75d583718e14361d075ee17865f547aed9fe2a570106226a171e851e8c4",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 22,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000251-0000-f6fb920d30cb409f.parquet",
-      "sha256": "f6fb920d30cb409f88730728055705c0cb5865837acb56c701370086a8f47f4e",
-      "bytes": 105673,
-      "rows": 19,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000251-0000-b29acfbc264807a7.parquet",
-      "sha256": "b29acfbc264807a70acd3155c0f31e456ef4b3e23ee6e9601b58297d43dbeb29",
-      "bytes": 172467,
-      "rows": 3,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:292cc42d-fd38-5643-bd5d-4f8dfabe7d29",
     "numina:326d59f6-ff8a-5922-87e3-132317b44de2",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001256.lean\",\"c858529e4569c22f9b96aadd3255f702c317181f66fa5dd285d2c22c2c182673\",0,\"number_theory_98043\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001258.lean\",\"0d975420647ef459755d7f1afd35afc528c235a1e13f6839d8ed5323abaabc5b\",0,\"algebra_98057\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001259.lean\",\"320f579d4e885e1fcb72f17fb84147dc8090b6c07b3d464d87015be3f6f03ac3\",0,\"algebra_98101\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105673,
+      "path": "data/train/p84/numina-000251-0000-f6fb920d30cb409f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f6fb920d30cb409f88730728055705c0cb5865837acb56c701370086a8f47f4e"
+    },
+    {
+      "bytes": 172467,
+      "path": "data/internal_test/p84/numina-000251-0000-b29acfbc264807a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b29acfbc264807a70acd3155c0f31e456ef4b3e23ee6e9601b58297d43dbeb29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000252.json b/manifests/batches/numina/000252.json
index 40a69a120e06f9ff54e5d119f05bb796a4a72011..14d24483e767dfda0d78cb6f7602d6a50bce6287 100644
--- a/manifests/batches/numina/000252.json
+++ b/manifests/batches/numina/000252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000252",
   "batch_fingerprint": "5e1c8311164cd6514a4fc103ee52055a6dd79fe34d8267a050994c149eab0ab0",
   "evidence": {
@@ -14,48 +13,49 @@
     "transitions": 77,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:01110e10-7321-5fab-8c12-7bf02e840f2a",
+    "numina:4fdc7f09-f7b0-50f0-89d8-0c1bc4fc2fc1",
+    "numina:8e59c36a-dae2-5e3b-a239-29abdf9efa86",
+    "numina:9a9985ee-65a7-5595-a019-de420ae41bd5",
+    "numina:e62538f7-1c77-5e67-96e6-f89a33a478a1"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001260.lean\",\"e6f379fa8877c3211a09710906f0bf4c912b1247b702a7993169175b032405d1\",0,\"AIME_Algebra_724\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001261.lean\",\"e0ef6e36fa63c5cd3c7bb06b951ef33a9dfb82d9d93d6b95a4c3d71070fa40e8\",0,\"algebra_98422\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001262.lean\",\"3e929205265707e42c2486e0b5b0a4cca4a1eff842a92ec77bc306d705586b45\",0,\"number_theory_98433\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001263.lean\",\"468fbb2c448d1b3b08ddd0735ca4c1bf7677e8b30cc59fbe5fbce37aa0b19e5c\",0,\"algebra_98434\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001264.lean\",\"7a097e0fe778b6b66bb1ed57dc0eab2aa4b95c3d43ccba1e5500c53a95047554\",0,\"algebra_98506\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000252-0000-dd4f125d49a0d83d.parquet",
-      "sha256": "dd4f125d49a0d83dc99c1db12be7f68133e1831eefc81c624cab1c02da60f48d",
       "bytes": 1078525,
+      "path": "data/train/p1a/numina-000252-0000-dd4f125d49a0d83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "dd4f125d49a0d83dc99c1db12be7f68133e1831eefc81c624cab1c02da60f48d"
     },
     {
-      "path": "data/train/numina-000252-0001-869863bac7ecf684.parquet",
-      "sha256": "869863bac7ecf684a0181828eb2ecbb794a52105bdf2256e13ab50be8fa3f426",
       "bytes": 854923,
+      "path": "data/train/p1a/numina-000252-0001-869863bac7ecf684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 35,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "869863bac7ecf684a0181828eb2ecbb794a52105bdf2256e13ab50be8fa3f426"
     },
     {
-      "path": "data/train/numina-000252-0002-fcf5d4c9f4dab760.parquet",
-      "sha256": "fcf5d4c9f4dab760c14da71a6225e403a4fc150b61c004cbee33f4d403430158",
       "bytes": 393060,
+      "path": "data/train/p1a/numina-000252-0002-fcf5d4c9f4dab760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "fcf5d4c9f4dab760c14da71a6225e403a4fc150b61c004cbee33f4d403430158"
     },
     {
-      "path": "data/internal_test/numina-000252-0000-7227d5a72bd84812.parquet",
-      "sha256": "7227d5a72bd8481226d41d174d1fe479f9643f7f31397909fe7b7cca0178078a",
       "bytes": 137163,
+      "path": "data/internal_test/p1a/numina-000252-0000-7227d5a72bd84812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "7227d5a72bd8481226d41d174d1fe479f9643f7f31397909fe7b7cca0178078a"
     }
-  ],
-  "proof_ids": [
-    "numina:01110e10-7321-5fab-8c12-7bf02e840f2a",
-    "numina:4fdc7f09-f7b0-50f0-89d8-0c1bc4fc2fc1",
-    "numina:8e59c36a-dae2-5e3b-a239-29abdf9efa86",
-    "numina:9a9985ee-65a7-5595-a019-de420ae41bd5",
-    "numina:e62538f7-1c77-5e67-96e6-f89a33a478a1"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001260.lean\",\"e6f379fa8877c3211a09710906f0bf4c912b1247b702a7993169175b032405d1\",0,\"AIME_Algebra_724\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001261.lean\",\"e0ef6e36fa63c5cd3c7bb06b951ef33a9dfb82d9d93d6b95a4c3d71070fa40e8\",0,\"algebra_98422\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001262.lean\",\"3e929205265707e42c2486e0b5b0a4cca4a1eff842a92ec77bc306d705586b45\",0,\"number_theory_98433\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001263.lean\",\"468fbb2c448d1b3b08ddd0735ca4c1bf7677e8b30cc59fbe5fbce37aa0b19e5c\",0,\"algebra_98434\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001264.lean\",\"7a097e0fe778b6b66bb1ed57dc0eab2aa4b95c3d43ccba1e5500c53a95047554\",0,\"algebra_98506\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000253.json b/manifests/batches/numina/000253.json
index 7efc62b6a0d9ed120a8a2e9db1511b447210f6e5..f36f45281e9eebcc6ecdfa767d7fd74e847d9832 100644
--- a/manifests/batches/numina/000253.json
+++ b/manifests/batches/numina/000253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000253",
   "batch_fingerprint": "8954636d5c6a403922fcbdfe168fa6f361c9948ded0ed4bb609e6642d6f08f54",
   "evidence": {
@@ -15,55 +14,56 @@
     "transitions": 112,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:19c06115-86c2-5ef9-ac88-81ebfd00be7e",
+    "numina:351fd3c6-a3a0-5c80-94e4-af8a171ab2e0",
+    "numina:3b9f5cff-5568-5603-b76d-207ea906aef0",
+    "numina:899acf85-1c94-5c55-a0e7-59da13be5a1d",
+    "numina:d2ec6959-03c8-52ff-968c-f136930e6421"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001265.lean\",\"484c0dbf4061cd0fbbce73bc89d3680c17c39c7cc48a9198167ec7d4692e3782\",0,\"number_theory_98536\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001266.lean\",\"67e5b516247d9a202f75f30d729bb45f701bb346d782e40c4b789d2c73e1f32c\",0,\"algebra_98584\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001267.lean\",\"c69640234545a99de1a5c55e945d00766e7208e3506179bf39c2b5f884dff845\",0,\"AIME_Algebra_727\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001268.lean\",\"265ec4d947d968b8a4c030a7f38766c9174c93384e22a80f36178a479dabba65\",0,\"algebra_98605\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001269.lean\",\"955c5c136e91a5851cfb6580fb5644798fdc4b0331d75710ce5ae6f35cf8856a\",0,\"algebra_98610\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000253-0000-04c93acb865d2661.parquet",
-      "sha256": "04c93acb865d26616b089f4531b71cb90cbc0ffe9168962524dce3726414ce91",
       "bytes": 534234,
+      "path": "data/train/p6d/numina-000253-0000-04c93acb865d2661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 57,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "04c93acb865d26616b089f4531b71cb90cbc0ffe9168962524dce3726414ce91"
     },
     {
-      "path": "data/train/numina-000253-0001-f7248da61bcb2626.parquet",
-      "sha256": "f7248da61bcb26263e65dd2639d956b5a65a0b71e4f98df5e7ac3cab5694efe1",
       "bytes": 499615,
+      "path": "data/train/p6d/numina-000253-0001-f7248da61bcb2626.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "f7248da61bcb26263e65dd2639d956b5a65a0b71e4f98df5e7ac3cab5694efe1"
     },
     {
-      "path": "data/train/numina-000253-0002-90c63dedebcc86ef.parquet",
-      "sha256": "90c63dedebcc86efe1272e6435a4fd6c82828f54574e84276b35bbb746cfa633",
       "bytes": 532368,
+      "path": "data/train/p6d/numina-000253-0002-90c63dedebcc86ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "90c63dedebcc86efe1272e6435a4fd6c82828f54574e84276b35bbb746cfa633"
     },
     {
-      "path": "data/train/numina-000253-0003-b4c7e3a436a966c0.parquet",
-      "sha256": "b4c7e3a436a966c0d5bf5ce4eabe0bf12b6547898a17ae6e0b8e4f1d3a6a1704",
       "bytes": 611369,
+      "path": "data/train/p6d/numina-000253-0003-b4c7e3a436a966c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 43,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "b4c7e3a436a966c0d5bf5ce4eabe0bf12b6547898a17ae6e0b8e4f1d3a6a1704"
     },
     {
-      "path": "data/train/numina-000253-0004-b503acb0766f5b2c.parquet",
-      "sha256": "b503acb0766f5b2cdb198e3423f5c0cbc197f6472246140a51ba76e07e43f6e6",
       "bytes": 62345,
+      "path": "data/train/p6d/numina-000253-0004-b503acb0766f5b2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
+      "sha256": "b503acb0766f5b2cdb198e3423f5c0cbc197f6472246140a51ba76e07e43f6e6"
     }
-  ],
-  "proof_ids": [
-    "numina:19c06115-86c2-5ef9-ac88-81ebfd00be7e",
-    "numina:351fd3c6-a3a0-5c80-94e4-af8a171ab2e0",
-    "numina:3b9f5cff-5568-5603-b76d-207ea906aef0",
-    "numina:899acf85-1c94-5c55-a0e7-59da13be5a1d",
-    "numina:d2ec6959-03c8-52ff-968c-f136930e6421"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001265.lean\",\"484c0dbf4061cd0fbbce73bc89d3680c17c39c7cc48a9198167ec7d4692e3782\",0,\"number_theory_98536\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001266.lean\",\"67e5b516247d9a202f75f30d729bb45f701bb346d782e40c4b789d2c73e1f32c\",0,\"algebra_98584\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001267.lean\",\"c69640234545a99de1a5c55e945d00766e7208e3506179bf39c2b5f884dff845\",0,\"AIME_Algebra_727\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001268.lean\",\"265ec4d947d968b8a4c030a7f38766c9174c93384e22a80f36178a479dabba65\",0,\"algebra_98605\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001269.lean\",\"955c5c136e91a5851cfb6580fb5644798fdc4b0331d75710ce5ae6f35cf8856a\",0,\"algebra_98610\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000254.json b/manifests/batches/numina/000254.json
index e36c169a9e0a35d1584b2922112f577d33adb295..fda0a2929e54aa51296a2a64abb5ae7ef9a9b354 100644
--- a/manifests/batches/numina/000254.json
+++ b/manifests/batches/numina/000254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000254",
   "batch_fingerprint": "6982b2253c6868e47ed563501fe0b46634a8353b53eb472cf62fd67cdf033d89",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 50,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000254-0000-a5eeb7b3720c90ea.parquet",
-      "sha256": "a5eeb7b3720c90ea6e38dd8a703b944d910abb34f553ca8cd0ee3cc3f8eeb5cf",
-      "bytes": 411124,
-      "rows": 50,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24793a04-830e-591e-b690-3806a50f3a71",
     "numina:508d039d-47fa-5e9a-ab72-642a85a8e45d",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001272.lean\",\"d420e27e5e603c4850500047cce05214da44c28f7256ec7554326f601d5c15c7\",0,\"algebra_98926\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001273.lean\",\"f8caa7e05a9286937442b293b357e82c528ef1525463ab99217f1c76bc54ccf6\",4,\"number_theory_99019\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001274.lean\",\"da6442bd7e64324eeb3006667d3725b153d7d3393d5d617566d0e5557df5e185\",0,\"number_theory_99705\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411124,
+      "path": "data/train/p5b/numina-000254-0000-a5eeb7b3720c90ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "a5eeb7b3720c90ea6e38dd8a703b944d910abb34f553ca8cd0ee3cc3f8eeb5cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000255.json b/manifests/batches/numina/000255.json
index 8b1641b5335a79973590ac81aeeb3792fcfc5c39..329642e2c156a64649a1e54a2f5e36c9e5f5c538 100644
--- a/manifests/batches/numina/000255.json
+++ b/manifests/batches/numina/000255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000255",
   "batch_fingerprint": "0f707ab5626fd1c7ac54fae6d14b9245f5d486bbd6f3cefced67717015741124",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 47,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000255-0000-626ee2dd994af682.parquet",
-      "sha256": "626ee2dd994af682d1f166d66a5ea0dd779f04a3227c965fb23b5441aa3d8365",
-      "bytes": 392677,
-      "rows": 47,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5dfff651-aa18-5d2b-870e-f2e92a203c82",
     "numina:6264d66c-6d0b-5f0b-b236-0d401282c478",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001276.lean\",\"560120d13690e385629cf75b32870424d468a5b9f13ee08c74133c2f8dc95515\",0,\"algebra_100350\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001277.lean\",\"b76e065e745b91cd0929d6b3c42b3e3b3e43cd1809d896c14bcd73b0e2f68a33\",2,\"algebra_100587\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001278.lean\",\"db00f49bb0894df9385d0be43e1c6e2d5589caf5037386cd144572e5d65c880d\",1,\"number_theory_100604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392677,
+      "path": "data/train/pb8/numina-000255-0000-626ee2dd994af682.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "626ee2dd994af682d1f166d66a5ea0dd779f04a3227c965fb23b5441aa3d8365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000256.json b/manifests/batches/numina/000256.json
index 261e89d7fc865a5144af55563f2ceaa0dcaf8bae..8a144b096dce1d08a09d2ffa9510257546bb10fe 100644
--- a/manifests/batches/numina/000256.json
+++ b/manifests/batches/numina/000256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000256",
   "batch_fingerprint": "2606ec1c79659061c0bfca72171a6a6a81932f297b803a0706a70377a1b8c031",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 85,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000256-0000-80c28c197874d4dc.parquet",
-      "sha256": "80c28c197874d4dce5bbbe54592aaa1e2e120379111cd88751b023e7b5c67f41",
-      "bytes": 412602,
-      "rows": 71,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000256-0000-f867b10f2287aded.parquet",
-      "sha256": "f867b10f2287aded026db39d94c3e8e7076e5e089ab37ddf927ad26ebd0c02b4",
-      "bytes": 80239,
-      "rows": 14,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2182671b-0cbb-5de3-be28-f4084551b5e0",
     "numina:6e036a07-a0fa-5fc4-a931-757c306faaba",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001282.lean\",\"4bb9cb8abe6641232f5910beb4d73f9cfc8d95e51627275a5b8daf40156226b0\",0,\"algebra_101399\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001283.lean\",\"296e7a18b70f0da563fd7e2bc1eaac3e8352381a78d7048a798bbbf018c7045e\",0,\"algebra_101522\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001284.lean\",\"81902e7f761c166f2130931817af7fddfbb7e7a8fe5c9f665d68dc9ee1206de9\",0,\"algebra_101522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412602,
+      "path": "data/train/pd7/numina-000256-0000-80c28c197874d4dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "80c28c197874d4dce5bbbe54592aaa1e2e120379111cd88751b023e7b5c67f41"
+    },
+    {
+      "bytes": 80239,
+      "path": "data/internal_test/pd7/numina-000256-0000-f867b10f2287aded.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f867b10f2287aded026db39d94c3e8e7076e5e089ab37ddf927ad26ebd0c02b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000257.json b/manifests/batches/numina/000257.json
index edf357830030d948a335146837d5492413a7fdb2..a31b08fcf7763ba4b6becc6fe16a4cc53b6b2c42 100644
--- a/manifests/batches/numina/000257.json
+++ b/manifests/batches/numina/000257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000257",
   "batch_fingerprint": "66beaf7dffbad0cf74c2ba916e542c70e356b58cc561b2b457d48fb7279fa8a4",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 70,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000257-0000-f12a3d94fa2b582a.parquet",
-      "sha256": "f12a3d94fa2b582aea7cd4050c74063f476960e77dd6e14c58714c82ac2b31d2",
-      "bytes": 528556,
-      "rows": 70,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0505610a-4155-5410-97c7-bedb45f91f2e",
     "numina:510fac85-608c-55e8-9b1a-27d205f2c948",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001287.lean\",\"2c4792d90c61accee0c05404622634bd011301a46bee169d01482cabc98264f4\",0,\"number_theory_101857\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001288.lean\",\"bddbbed753af4145cdf51dc982393cda9c302692edba49303f6371acfa0d5c03\",0,\"number_theory_101946\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001289.lean\",\"a509fa937ffe7a0da4440ed914ec091a710ed1911e795df803c623fed16eae86\",1,\"algebra_2034567\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528556,
+      "path": "data/train/pf5/numina-000257-0000-f12a3d94fa2b582a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "f12a3d94fa2b582aea7cd4050c74063f476960e77dd6e14c58714c82ac2b31d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000258.json b/manifests/batches/numina/000258.json
index a639b415fc9ce74656f474c593890d873e2e0119..8cff25a5f75017cc2fb7c4036c53de6e35167a34 100644
--- a/manifests/batches/numina/000258.json
+++ b/manifests/batches/numina/000258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000258",
   "batch_fingerprint": "158213a526975b382572ba3cdc8ad04b9a6c379f2c7dae1aa27d776927e9465c",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 72,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000258-0000-4a70427a52467f91.parquet",
-      "sha256": "4a70427a52467f91e085dac59f1119112e79a6e2a6570d2a14b3e2f9d1c1917e",
-      "bytes": 306363,
-      "rows": 41,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/dev/numina-000258-0000-911595e8c19793b3.parquet",
-      "sha256": "911595e8c19793b3c7905524a7a4691fde0fa0f8e000d1e4f559489faadc1344",
-      "bytes": 240129,
-      "rows": 25,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    },
-    {
-      "path": "data/internal_test/numina-000258-0000-a8d8e94691b47cc2.parquet",
-      "sha256": "a8d8e94691b47cc21f4f143d07067e59e793c703f22f71e71b9f03e650fd4a0b",
-      "bytes": 46284,
-      "rows": 6,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:311da9a7-2190-595f-a0cf-ab798699c92b",
     "numina:669535e8-5818-5dc9-9bc4-8b70a240345e",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001292.lean\",\"ff444ce9fe765c3f287bad8f21cfd5fdf51f60cff4ee1e6d67e397e888a56f1c\",0,\"algebra_102610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001293.lean\",\"2b88cdf2be6176a192f3c5a24f92ebfe7a838463a527551c7f5725b12602f369\",0,\"number_theory_102636\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001294.lean\",\"feb9f042e1d4c419b1ed7d60fa1c63657c5415dbdce3fe3bd5c2fac035ec2f03\",0,\"number_theory_103047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306363,
+      "path": "data/train/p6c/numina-000258-0000-4a70427a52467f91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "4a70427a52467f91e085dac59f1119112e79a6e2a6570d2a14b3e2f9d1c1917e"
+    },
+    {
+      "bytes": 240129,
+      "path": "data/dev/p6c/numina-000258-0000-911595e8c19793b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "911595e8c19793b3c7905524a7a4691fde0fa0f8e000d1e4f559489faadc1344"
+    },
+    {
+      "bytes": 46284,
+      "path": "data/internal_test/p6c/numina-000258-0000-a8d8e94691b47cc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a8d8e94691b47cc21f4f143d07067e59e793c703f22f71e71b9f03e650fd4a0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000259.json b/manifests/batches/numina/000259.json
index 637670c7e4062911c40069abaf894d74598a40e7..fcb12a7e6d746bb7ee64fe0f5f3a8c5415f0489d 100644
--- a/manifests/batches/numina/000259.json
+++ b/manifests/batches/numina/000259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000259",
   "batch_fingerprint": "dcc2415923ba89a29ccb9d60a19c37e47bbb12e1422e11e61b8899304029395a",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000259-0000-803cac7fcec4146f.parquet",
-      "sha256": "803cac7fcec4146fa5e6549aa8023b253ce82002bfc153fd7322a724d48fb013",
-      "bytes": 604659,
-      "rows": 39,
-      "revision": "1803b170a37eb7f5d96273ecb1963f0f5696c5d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:72b1d12b-9987-57ff-8f32-85f5085fce43",
     "numina:80f27ed2-348a-5639-82af-309021f41f21",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001297.lean\",\"4d28ece64bdb992d5381bcbf3cf894485953e86fde193ec8213eb17760d2ce8c\",0,\"inequalities_104610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001298.lean\",\"8bf91d14987f5f1f8efad561cd4a4ed6c67bce65efffb1c96450199904a45e14\",0,\"inequalities_104713\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001299.lean\",\"9a2ec1ad55ac38fd7a230d3da53d408d99825a8686898195e2bee83fa0eeb559\",0,\"inequalities_104726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 604659,
+      "path": "data/train/pcf/numina-000259-0000-803cac7fcec4146f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "803cac7fcec4146fa5e6549aa8023b253ce82002bfc153fd7322a724d48fb013"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000260.json b/manifests/batches/numina/000260.json
index d3493c64b2e47d92d7eef54c0337ecf95456f404..b5f5f1fe359137f466a24a81032964abb090f7f0 100644
--- a/manifests/batches/numina/000260.json
+++ b/manifests/batches/numina/000260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000260",
   "batch_fingerprint": "04d268bdd6b5b580230bd71914ff092b21e2df54d0b56f407415fad89b2fdb7b",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 36,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000260-0000-399a3ab572c71294.parquet",
-      "sha256": "399a3ab572c71294fd9f156ccd56f5f1f5f601216ac25e668594c8d646862b39",
-      "bytes": 387696,
-      "rows": 31,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/dev/numina-000260-0000-a37440df9e617dac.parquet",
-      "sha256": "a37440df9e617dac28166105c34730a498c99efa699e72d654a6e1ddc39058cd",
-      "bytes": 93655,
-      "rows": 5,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16c22756-3afb-5923-a11e-85789c63b4c3",
     "numina:43e54434-8de4-5fd3-b4cd-9e9d8e01d8a2",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001302.lean\",\"d187193c55a4a8de0695566778e9869617cae50937a12fad487e9f58c280e469\",0,\"algebra_104988\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001303.lean\",\"7de23abb8d36583af8bbb320c53b75a84743bde266d8a97c2c62e09be3cf3b89\",0,\"number_theory_105342\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001304.lean\",\"cdb49556962644db51e439945933106f88278bb292d84533d36ed22ba09db1d3\",0,\"algebra_105511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387696,
+      "path": "data/train/pdf/numina-000260-0000-399a3ab572c71294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "399a3ab572c71294fd9f156ccd56f5f1f5f601216ac25e668594c8d646862b39"
+    },
+    {
+      "bytes": 93655,
+      "path": "data/dev/pdf/numina-000260-0000-a37440df9e617dac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a37440df9e617dac28166105c34730a498c99efa699e72d654a6e1ddc39058cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000261.json b/manifests/batches/numina/000261.json
index c5b5365ff01a10816514cb372e14b9711fb64084..03941c600bdd9d6ab3989b7798f24656519aff31 100644
--- a/manifests/batches/numina/000261.json
+++ b/manifests/batches/numina/000261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000261",
   "batch_fingerprint": "26a28152cab50de6bb0e20f0512090d31f132d20e3b36ce27756018014176998",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000261-0000-ce6ea900bd617fe2.parquet",
-      "sha256": "ce6ea900bd617fe23a16dd2f37ddf2f59a27272104cddfa848fc69bd3461154d",
-      "bytes": 216871,
-      "rows": 35,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1146caa5-d09f-5157-864e-a0894f5576e2",
     "numina:1fcf5c15-8341-5d2e-a001-1d13945d6802",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001307.lean\",\"c66e4672c11ab4ad791bbc9b6855e6a6e1d464ea2b96f136cb6a56b5f40c7a4b\",0,\"number_theory_106436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001308.lean\",\"bb69b957d5f09192ba592ef5d96f69fae06bb6f8d27135a898c454718fadd08d\",0,\"number_theory_106683\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001309.lean\",\"28f00655642f317e4faa0179276c94799880c023e0fb59b003037465677dd724\",3,\"calculus_106855\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216871,
+      "path": "data/train/pcf/numina-000261-0000-ce6ea900bd617fe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "ce6ea900bd617fe23a16dd2f37ddf2f59a27272104cddfa848fc69bd3461154d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000262.json b/manifests/batches/numina/000262.json
index 0bb8e1e2d0f39d62ce6475d8a1e25f25981252d0..cebeed6483d56578f0277623e2418d1fad39b80e 100644
--- a/manifests/batches/numina/000262.json
+++ b/manifests/batches/numina/000262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000262",
   "batch_fingerprint": "04d935e264000ac35759926347a6c623b310bc78d9d0574eda134ddd6bd6d4a7",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000262-0000-0c482a4f165db543.parquet",
-      "sha256": "0c482a4f165db54358847f9519b92c8b5004491638da518547ec892e1a419e9a",
-      "bytes": 351641,
-      "rows": 27,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:283939be-9bb0-52ad-9548-2461ec1c74cd",
     "numina:295a2ed0-75ee-58f7-b149-f762718b25a3",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001312.lean\",\"f2477c50175c815a92a3bdd9c9f16cefc3f7533ccd9a83d3297cdd3bf51c2644\",2,\"calculus_108192\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001313.lean\",\"10d73aa3823b841c5bd7a97a3909c183504fc68b5e7d25deee6ae356d2768f82\",0,\"algebra_108528\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001314.lean\",\"8aaa1bf08d346811185681c0883cff08e6d2eb5f48f771cfd016084f4c2377d2\",0,\"algebra_108732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351641,
+      "path": "data/train/pba/numina-000262-0000-0c482a4f165db543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0c482a4f165db54358847f9519b92c8b5004491638da518547ec892e1a419e9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000263.json b/manifests/batches/numina/000263.json
index df1e380f83b7c4a3cfbf34f27715cbdb42150ae1..44445c05b582ae679e2dd7d80ebcf9af49f3f3e1 100644
--- a/manifests/batches/numina/000263.json
+++ b/manifests/batches/numina/000263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000263",
   "batch_fingerprint": "435202c433ee8c5b23ff515c4709d4715dfd124238fc87ada3b30fdfeedab6cc",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000263-0000-af61707b9bf91af6.parquet",
-      "sha256": "af61707b9bf91af6e57ed2b2e70684b13942a6ff817a1f0391e5b1ab563cbc77",
-      "bytes": 394497,
-      "rows": 35,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000263-0000-9291a9acd8637852.parquet",
-      "sha256": "9291a9acd8637852d3829bc5a3a9057cdcb1a85a2a534ac90430d1659781292d",
-      "bytes": 117698,
-      "rows": 3,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:274bdb7d-50f7-595d-b36f-086809c3a2fa",
     "numina:51bacc6a-c5a7-5050-9871-fbc933a6b8da",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001317.lean\",\"0c529a906db6e0fd7880c0805898eff81d06e32bd99fdbb6c5a3e7e1b930b863\",0,\"algebra_109290\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001318.lean\",\"5da8e4c7ee268165dd821e914e9e464eb59acd2def77113514b008c9d01157dc\",5,\"number_theory_109751\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001319.lean\",\"a707413febd248a17785a091547d8b7ad597739a5128a82e693d57dd485f051b\",0,\"number_theory_109919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394497,
+      "path": "data/train/p4f/numina-000263-0000-af61707b9bf91af6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "af61707b9bf91af6e57ed2b2e70684b13942a6ff817a1f0391e5b1ab563cbc77"
+    },
+    {
+      "bytes": 117698,
+      "path": "data/internal_test/p4f/numina-000263-0000-9291a9acd8637852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9291a9acd8637852d3829bc5a3a9057cdcb1a85a2a534ac90430d1659781292d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000264.json b/manifests/batches/numina/000264.json
index 924911221d02b1d5db0fbd3e68b016a6debd9dc2..8259b39fe613a6f305e95dca3fe19cce3fd2cb59 100644
--- a/manifests/batches/numina/000264.json
+++ b/manifests/batches/numina/000264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000264",
   "batch_fingerprint": "e7c142217127f0bb26f398d86b5b0c3a2bd3b157f42c6ad0ca07c91317924852",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 17,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000264-0000-75f28cedd74a1885.parquet",
-      "sha256": "75f28cedd74a18850b46498ae29802b65d5229c86dbf3c8e4f0423495ed593af",
-      "bytes": 398995,
-      "rows": 17,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3cdc9209-bf25-5d2f-b13d-0b123dbff5db",
     "numina:9f1e111f-900a-519f-9adc-6f9866a1fab1",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001322.lean\",\"9f65fddf5ac0e29bbdfa4aa070e31a8b7be60b5610260389212eb3d1c8afe10e\",1,\"number_theory_110168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001323.lean\",\"13991b94a50985a1a00f2d971ed2303f85a1a7a6627f47d0994987db9de4e2cc\",1,\"number_theory_110174\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001324.lean\",\"b39b622e10227d036e94c515ed1e1fbf1fe973a76c64aed0d73544e27f6c0490\",0,\"algebra_110286\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398995,
+      "path": "data/train/p67/numina-000264-0000-75f28cedd74a1885.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "75f28cedd74a18850b46498ae29802b65d5229c86dbf3c8e4f0423495ed593af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000265.json b/manifests/batches/numina/000265.json
index ab276f577015db222e8125e8030f723b81bf9959..725b10464517111c9049b2a4872e8c7e84e0742a 100644
--- a/manifests/batches/numina/000265.json
+++ b/manifests/batches/numina/000265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000265",
   "batch_fingerprint": "03ddd770a78baf657d858f6517828d4bb01c0c6d434c3ded9308c838eb6fe862",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000265-0000-aea1f2607b1ed3b1.parquet",
-      "sha256": "aea1f2607b1ed3b101ea834de3c4a7e02b6fcd8db471c0c9fdcc56581e499035",
-      "bytes": 541535,
-      "rows": 18,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000265-0000-5c3065d6b7f95f36.parquet",
-      "sha256": "5c3065d6b7f95f365e7a375a62e7348eed2312d863b15c9fedbe8a9f4a41f5ef",
-      "bytes": 1081807,
-      "rows": 17,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a7fe00b-28bf-5b83-ad0d-33b31dbc023e",
     "numina:5c6d121f-6816-5d04-a3c0-ef0bf07b61b9",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001327.lean\",\"23db637f2fb32e6ac5f2b7115b5d4b1eb25bdaeeeb378cf0ad614cbbd8b2a6be\",4,\"inequalities_110997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001328.lean\",\"83bc144804b9e56ed7822fc7cb1e0e18da65f1f7ce98b0c7d71db997b68c844a\",0,\"number_theory_111051\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001329.lean\",\"bd007ac5dddebe734145d7fb56e9463dd117ce19b68ddea9cae7dbaf262a87d3\",0,\"algebra_111245\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541535,
+      "path": "data/train/p3c/numina-000265-0000-aea1f2607b1ed3b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "aea1f2607b1ed3b101ea834de3c4a7e02b6fcd8db471c0c9fdcc56581e499035"
+    },
+    {
+      "bytes": 1081807,
+      "path": "data/internal_test/p3c/numina-000265-0000-5c3065d6b7f95f36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5c3065d6b7f95f365e7a375a62e7348eed2312d863b15c9fedbe8a9f4a41f5ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000266.json b/manifests/batches/numina/000266.json
index f05973d95e7eb4492900279723864b315c219daf..f246946e7f2637a18e455e0cacee411f40b04dad 100644
--- a/manifests/batches/numina/000266.json
+++ b/manifests/batches/numina/000266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000266",
   "batch_fingerprint": "c9f1f0cf46e4c49dedd48d6328f813e83138fbc0ac3a6e165c091297ca178ad6",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 63,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000266-0000-515731d5a24f5849.parquet",
-      "sha256": "515731d5a24f5849b8e36efab997db54a8e59762ebddf0b59e5892f043a8a412",
-      "bytes": 590420,
-      "rows": 42,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000266-0001-fcfd2fa3507be22f.parquet",
-      "sha256": "fcfd2fa3507be22fd7de49063f271aadd7669d2f5f63db942c2218b9b5fcf69c",
-      "bytes": 526916,
-      "rows": 21,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3be1bee6-1e7b-5e9f-9360-75aa095973d6",
     "numina:696aa541-acc9-5559-9dbb-e0264303f853",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001332.lean\",\"dfab0757da6161ea7247d512a4942b0921df15088af52c54bc7ca6c1fd30fb11\",0,\"algebra_111609\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001333.lean\",\"ee2a7e92cfe7cc177df8cd1e10abba0a68439d25540ffcfacc959f63af01258d\",0,\"algebra_111921\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001334.lean\",\"a58bb1cdc4f3725eb4310c32379ba92d0effa8d60d996f91d5435329acfe4ca5\",6,\"number_theory_112214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590420,
+      "path": "data/train/p11/numina-000266-0000-515731d5a24f5849.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "515731d5a24f5849b8e36efab997db54a8e59762ebddf0b59e5892f043a8a412"
+    },
+    {
+      "bytes": 526916,
+      "path": "data/train/p11/numina-000266-0001-fcfd2fa3507be22f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "fcfd2fa3507be22fd7de49063f271aadd7669d2f5f63db942c2218b9b5fcf69c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000267.json b/manifests/batches/numina/000267.json
index a3410129fb1499b2181beb70be95de47d923a6f2..4cc2e777922e66b9974375b342b9f5c8e8eef684 100644
--- a/manifests/batches/numina/000267.json
+++ b/manifests/batches/numina/000267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000267",
   "batch_fingerprint": "e69f43055013a7473bfb9e322ae879c6cc9f73adcd6cc40ea4a2d29cff721cd8",
   "evidence": {
@@ -42,22 +41,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000267-0000-971e2189cbf267c8.parquet",
-      "sha256": "971e2189cbf267c8601d18163b3d9000e9112a6585fce9cb5999dec45f527299",
-      "bytes": 100373,
-      "rows": 8,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/dev/numina-000267-0000-5f9f26b071521c22.parquet",
-      "sha256": "5f9f26b071521c228784cec4b9027aa4743839a381aceda739f65161f9813f43",
-      "bytes": 144256,
-      "rows": 7,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e3259a5-5075-52bf-aa32-e6a178c1cbda",
     "numina:6ef51c34-e605-55f7-bc5f-a95a1661e750",
@@ -69,5 +53,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001336.lean\",\"7257f231be8143146496f58fd5722abb0d8eea7db34c2e3e74964d3eac7a88b0\",0,\"algebra_112821\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001337.lean\",\"b0778b2e8d5ae72852bf2cb03376c0aa76d97893de990a75463e84914d9a9e29\",1,\"algebra_112861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001338.lean\",\"71d6ca7291a0ff221dd270cde7bc450ce6f2c68f2eb2f7071afdb814f6da07d2\",4,\"algebra_112983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100373,
+      "path": "data/train/p2c/numina-000267-0000-971e2189cbf267c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "971e2189cbf267c8601d18163b3d9000e9112a6585fce9cb5999dec45f527299"
+    },
+    {
+      "bytes": 144256,
+      "path": "data/dev/p2c/numina-000267-0000-5f9f26b071521c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5f9f26b071521c228784cec4b9027aa4743839a381aceda739f65161f9813f43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000268.json b/manifests/batches/numina/000268.json
index 89dc472f8287fc51319a4ffd5781c6ea9e0c4d38..8a3fa4e20d94181e3f8b43f7e9a4d0dd5394609e 100644
--- a/manifests/batches/numina/000268.json
+++ b/manifests/batches/numina/000268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000268",
   "batch_fingerprint": "46a7193579ee3e60bc92af8f3c203eb35be7233b6c94affa5bcd4366c1c7896b",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 24,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000268-0000-930c59bf122751e6.parquet",
-      "sha256": "930c59bf122751e6c96d6fdade0881223e25b42f4f823f174fd19876a681ad38",
-      "bytes": 423225,
-      "rows": 11,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000268-0001-e43eef35a1dbf530.parquet",
-      "sha256": "e43eef35a1dbf530405de9b3981a94c286990034edc04a2f0045cd722f454640",
-      "bytes": 550611,
-      "rows": 6,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000268-0002-b08e55276476c7c1.parquet",
-      "sha256": "b08e55276476c7c1342b3f169e9e9c47c0e75172f2ef6d3b393b69ff1b4e24af",
-      "bytes": 186335,
-      "rows": 7,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d93ea54-d541-5894-8c01-0914cc205400",
     "numina:307461c4-e24d-5964-8929-ddf940c68450",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001342.lean\",\"e5b7c70bd057eb16fe57b3768d4e7bfdfd301f48cb352066f59b2f9b0a91617d\",0,\"calculus_114864\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001343.lean\",\"c40d3221d71b5da09d5bfc675d29edd7792d80b778bcf017959093467b159eb1\",1,\"number_theory_115283\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001344.lean\",\"41e67e43798d9ff09279fdf179f28759fc9ec6c85b5f64f3c99280a06de78702\",1,\"inequalities_115490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423225,
+      "path": "data/train/p1a/numina-000268-0000-930c59bf122751e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "930c59bf122751e6c96d6fdade0881223e25b42f4f823f174fd19876a681ad38"
+    },
+    {
+      "bytes": 550611,
+      "path": "data/train/p1a/numina-000268-0001-e43eef35a1dbf530.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e43eef35a1dbf530405de9b3981a94c286990034edc04a2f0045cd722f454640"
+    },
+    {
+      "bytes": 186335,
+      "path": "data/train/p1a/numina-000268-0002-b08e55276476c7c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b08e55276476c7c1342b3f169e9e9c47c0e75172f2ef6d3b393b69ff1b4e24af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000269.json b/manifests/batches/numina/000269.json
index 539128a04744e89fc56b5e47c8954fa4021800e3..547e6c0b667a4f535dbd27efa53e60a23c8317ee 100644
--- a/manifests/batches/numina/000269.json
+++ b/manifests/batches/numina/000269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000269",
   "batch_fingerprint": "22aae89d0123ba9ddbd6f19b6761236d0ba797386afb86ebaffb80e732cca351",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 48,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000269-0000-26c2a6c5b95466f5.parquet",
-      "sha256": "26c2a6c5b95466f58bcab704a65345807364db7eccd0329d3b8d4a848da02f08",
-      "bytes": 262856,
-      "rows": 36,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000269-0000-bf3193357cc862f8.parquet",
-      "sha256": "bf3193357cc862f86c7a8dd5a6c73392a7e4427013f2274a9e40f410cb71a6cc",
-      "bytes": 384836,
-      "rows": 12,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26d41a0c-693c-5dec-a256-69e5484f4a5f",
     "numina:3b08b038-6fc3-5315-9dbf-21907ed58ce2",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001347.lean\",\"7934efd072f4a50a9de5d3dd6b05598adcf7949de4b0103663ed5e7112b99b97\",0,\"algebra_115997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001348.lean\",\"5b4b37910745c2b1ead6609286d0404e6e3be7d2d10704054164f41ceea14cf1\",0,\"algebra_116235\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001349.lean\",\"f87e7fb9645d4b97f31c1bae2a46335f6b73cca8d35681b9d9eb3257c5c66632\",3,\"algebra_116589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262856,
+      "path": "data/train/pcb/numina-000269-0000-26c2a6c5b95466f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "26c2a6c5b95466f58bcab704a65345807364db7eccd0329d3b8d4a848da02f08"
+    },
+    {
+      "bytes": 384836,
+      "path": "data/internal_test/pcb/numina-000269-0000-bf3193357cc862f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bf3193357cc862f86c7a8dd5a6c73392a7e4427013f2274a9e40f410cb71a6cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000270.json b/manifests/batches/numina/000270.json
index 209271eb7baa99c6e413131d7c799804f852a720..55b6f89186988f6b1721a43299fff7922b8b0c97 100644
--- a/manifests/batches/numina/000270.json
+++ b/manifests/batches/numina/000270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000270",
   "batch_fingerprint": "8b376c7527b948a6f336204579759854ec5c506ddbe91dafd5f3764f259b588a",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000270-0000-e9e3a7b2f8a3fe33.parquet",
-      "sha256": "e9e3a7b2f8a3fe338914e63db63cbb134a7ca9ad93e2e3fc61689aef3cdab17b",
-      "bytes": 536332,
-      "rows": 29,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:688f7980-15e7-509f-8829-e49189dbec0a",
     "numina:6932df0d-9a28-58df-a2bb-d0de30ec474b",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001352.lean\",\"5554a12a73b0c16f37cc02feccc07230abb556c2d21df012d2c5f677ac0992c9\",0,\"algebra_117248\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001353.lean\",\"643ff2ed2d55d5d69cee3bee0e3f0f9b78ccab94ddee3897ba077b6c2b3ce3cb\",0,\"number_theory_117512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001354.lean\",\"f3968edb85a770bb060eb1c06729e89a2a1f1973d23efcb40eec97ae088313bf\",2,\"inequalities_117769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 536332,
+      "path": "data/train/p79/numina-000270-0000-e9e3a7b2f8a3fe33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e9e3a7b2f8a3fe338914e63db63cbb134a7ca9ad93e2e3fc61689aef3cdab17b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000271.json b/manifests/batches/numina/000271.json
index b0d335789edb4e2a60106644ee61aacaf3854ef7..715e11105c69517e48474d17a59cd8e9bfe44569 100644
--- a/manifests/batches/numina/000271.json
+++ b/manifests/batches/numina/000271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000271",
   "batch_fingerprint": "b3ff83ce2fca244af4be596711cce64dd18b17ed72e627ccabd7d9b2832edf84",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 55,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000271-0000-1231ab7f1aa2352c.parquet",
-      "sha256": "1231ab7f1aa2352ca94e6999d60a0f54729d5ef711008d615f12cf013bcc6977",
-      "bytes": 681036,
-      "rows": 53,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000271-0001-76657f85a05f0b18.parquet",
-      "sha256": "76657f85a05f0b189a8042f9660a763da4ea2332f0b31d8964fb41cf1113b7e9",
-      "bytes": 95068,
-      "rows": 2,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1999dba2-a84c-5516-9640-53c9aa32591b",
     "numina:206a26cd-a6bb-50f0-b89a-e95e88f2d0c2",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001357.lean\",\"5a0a87feb62f5ccc3a8f8105ef613eb8a0490271325ba4ba537b811b2b7e784f\",0,\"number_theory_118807\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001358.lean\",\"a18fc5d1228d4f6633b7acf87226ed2bb94c96188b02903670744781760f1f4e\",1,\"algebra_118901\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001359.lean\",\"61a3e187f651b700bbef0dd772629548114545d6c4b11cc1f04b763d19993c7e\",0,\"algebra_119107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 681036,
+      "path": "data/train/pd1/numina-000271-0000-1231ab7f1aa2352c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "1231ab7f1aa2352ca94e6999d60a0f54729d5ef711008d615f12cf013bcc6977"
+    },
+    {
+      "bytes": 95068,
+      "path": "data/train/pd1/numina-000271-0001-76657f85a05f0b18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "76657f85a05f0b189a8042f9660a763da4ea2332f0b31d8964fb41cf1113b7e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000272.json b/manifests/batches/numina/000272.json
index edce5d79dc3c6f38401b10c236f24b5de6f15fab..ab8be1e4b1603fa2bb3dc1e2017092b859a02cdb 100644
--- a/manifests/batches/numina/000272.json
+++ b/manifests/batches/numina/000272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000272",
   "batch_fingerprint": "0945244c1b427b928c5bddb4c0c0ccb77f674cb1f4ffbfdafc6a9e4836f5db5b",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 77,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000272-0000-a6e294d6c31f1edc.parquet",
-      "sha256": "a6e294d6c31f1edcd8adbaf4f7dfa2fdac513086f951e9ddcfd25bf3b127fc11",
-      "bytes": 213129,
-      "rows": 21,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000272-0000-e02bc2f6ae622383.parquet",
-      "sha256": "e02bc2f6ae622383168c0a34d4156db9e9a2ec082d1d244200884b7e97de8c6c",
-      "bytes": 465856,
-      "rows": 56,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:430fa62f-69c2-5fa0-98a0-ee9aaf6a85e3",
     "numina:ab6047b5-256a-524f-9482-8883a7b19928",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001362.lean\",\"5e9c4cef0d7c14f216389d5b9bc0b15376e99738e022a81ea0caa6a48116aeab\",1,\"number_theory_119616_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001363.lean\",\"0d2359c79def02a724aff0ec70e2578fdb2954b3a3bb60bec8db1e3467782bb1\",0,\"algebra_119778\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001364.lean\",\"4493234818054ba96a4ffd1e500d3aa2bd969285fa31e3d81bbf6214da56aa7a\",0,\"number_theory_119815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213129,
+      "path": "data/train/pb0/numina-000272-0000-a6e294d6c31f1edc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a6e294d6c31f1edcd8adbaf4f7dfa2fdac513086f951e9ddcfd25bf3b127fc11"
+    },
+    {
+      "bytes": 465856,
+      "path": "data/internal_test/pb0/numina-000272-0000-e02bc2f6ae622383.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "e02bc2f6ae622383168c0a34d4156db9e9a2ec082d1d244200884b7e97de8c6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000273.json b/manifests/batches/numina/000273.json
index 451b9fcd9b902ccc082f91609309d8676db5484e..7466d5a8266cfde72c20bd6b317983906ec44f21 100644
--- a/manifests/batches/numina/000273.json
+++ b/manifests/batches/numina/000273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000273",
   "batch_fingerprint": "24781527f2f23155aaf6de016a35433e524b624ef5a189b5c68c11bcfb33c06d",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 40,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000273-0000-e59fb6f7788af8eb.parquet",
-      "sha256": "e59fb6f7788af8eb9bd2ffd9fef34967f1abb5f3d32c800eb36bc8d2286791f1",
-      "bytes": 138925,
-      "rows": 17,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000273-0000-2921003a8150eb93.parquet",
-      "sha256": "2921003a8150eb93ff2155c2f226bfa056114df54e4ec57fcaec428743d2bacd",
-      "bytes": 221375,
-      "rows": 23,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1200d92e-fcc0-5786-83c7-63b8b460be10",
     "numina:79f0506c-35e6-5868-a2bb-4f8562b19a46",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001367.lean\",\"7d34cd014c3ab59bbbd5afd76307b16ec4774bae07c52dd1f2ea01ed0acfff05\",1,\"number_theory_120171\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001368.lean\",\"12f468ba50073462e62fb255252715ad4e1f588f0db24ac6ae2833199922ae3d\",0,\"number_theory_120202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001369.lean\",\"c0651643d5252e7ffaa30f1b30a0fbe6d7917c830a9c4c39f12ea70fd9e17b71\",2,\"number_theory_120853\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138925,
+      "path": "data/train/p2f/numina-000273-0000-e59fb6f7788af8eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e59fb6f7788af8eb9bd2ffd9fef34967f1abb5f3d32c800eb36bc8d2286791f1"
+    },
+    {
+      "bytes": 221375,
+      "path": "data/internal_test/p2f/numina-000273-0000-2921003a8150eb93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2921003a8150eb93ff2155c2f226bfa056114df54e4ec57fcaec428743d2bacd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000274.json b/manifests/batches/numina/000274.json
index 863ed3d32f816fec42c07d547e9c94b2e34411f5..9775bca3e15e3d75e5c74e7868943a658dbc8f44 100644
--- a/manifests/batches/numina/000274.json
+++ b/manifests/batches/numina/000274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000274",
   "batch_fingerprint": "c6111778f71e57887d2be15a65fd496fed40e6f0a093d521cae6801e42787e90",
   "evidence": {
@@ -61,22 +60,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000274-0000-d3e85592573ec6eb.parquet",
-      "sha256": "d3e85592573ec6eba77ff92a34f39ea28ff004528135879bd1a448c43b0246df",
-      "bytes": 454468,
-      "rows": 37,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000274-0001-06c99ed90c902aff.parquet",
-      "sha256": "06c99ed90c902aff12adc506ffa0c91a28aa20018c69e2af86936f30c2b3a044",
-      "bytes": 329150,
-      "rows": 5,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3df06db1-1bf4-5af0-9795-f3ec7ad6b94f",
     "numina:5ded5356-cd91-536a-95fd-5d7cec5ae60b",
@@ -86,5 +70,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001370.lean\",\"673c7245a4809bc4f3ce81d70d1456a41a721d852f0d569bb19be405b6227651\",0,\"algebra_121163\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001371.lean\",\"fd0565de15f4fd9aba418ba9cb376be1c8afa1c27b3058f60bbaf51272ab0104\",3,\"algebra_121244\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001374.lean\",\"864d99d238dfc2d4068606175562af609ee7bff16ede99982eec233f953e4b18\",0,\"number_theory_121989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 454468,
+      "path": "data/train/p17/numina-000274-0000-d3e85592573ec6eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d3e85592573ec6eba77ff92a34f39ea28ff004528135879bd1a448c43b0246df"
+    },
+    {
+      "bytes": 329150,
+      "path": "data/train/p17/numina-000274-0001-06c99ed90c902aff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "06c99ed90c902aff12adc506ffa0c91a28aa20018c69e2af86936f30c2b3a044"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000275.json b/manifests/batches/numina/000275.json
index 699a4c9d23989002fdbe14d4f65db5647e0ef5c5..3b167216fe54ede277f641d7a7a2be9f5457251a 100644
--- a/manifests/batches/numina/000275.json
+++ b/manifests/batches/numina/000275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000275",
   "batch_fingerprint": "e4ab711d992d577d85fa2becbb1f315b90b241ee3030cc3cd8382807b66eb458",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000275-0000-026fd8e767666066.parquet",
-      "sha256": "026fd8e767666066cf962c80708947bc5a0f51965ff6b0e356903e9d97725dda",
-      "bytes": 149286,
-      "rows": 25,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/internal_test/numina-000275-0000-f974338d83cf4e79.parquet",
-      "sha256": "f974338d83cf4e79c74be912a5f4b00ae6be1eafb41311ba495a72034b5e48a2",
-      "bytes": 99183,
-      "rows": 14,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08f03cac-2829-558a-95b6-8e01a89cb83c",
     "numina:09a8a7dc-ee28-56fa-9024-46213751c604",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001377.lean\",\"74ec726cae717228748fc17fedd5cdc4054f6a8a721f7f9de8163f6e00fa2a6f\",5,\"number_theory_122216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001378.lean\",\"11f0d3b8c7f7a936a6da7c395fec5291607683b105013ca7f4fb038dd3cfd603\",0,\"number_theory_122341\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001379.lean\",\"708546dbc7e9dce16e1250237b1be271056badcb1db0d4083a863c51c1d88b95\",2,\"number_theory_122851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149286,
+      "path": "data/train/pda/numina-000275-0000-026fd8e767666066.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "026fd8e767666066cf962c80708947bc5a0f51965ff6b0e356903e9d97725dda"
+    },
+    {
+      "bytes": 99183,
+      "path": "data/internal_test/pda/numina-000275-0000-f974338d83cf4e79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f974338d83cf4e79c74be912a5f4b00ae6be1eafb41311ba495a72034b5e48a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000276.json b/manifests/batches/numina/000276.json
index 762bd5a0876f97a2f45e4b715dd9f1e61868e387..face4d82b801925ab9fdcf9f4a42787e28fbfddb 100644
--- a/manifests/batches/numina/000276.json
+++ b/manifests/batches/numina/000276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000276",
   "batch_fingerprint": "ba4cb85e40791e3c6d3da1fdef61e035bbdf86c30bf32a0bd5176e057205c8da",
   "evidence": {
@@ -34,53 +33,54 @@
     "transitions": 191,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:53d8138e-cc69-58b5-a027-b148e871fe64",
+    "numina:9fc551b0-9651-5f5e-b54d-e1e8aeb0c501",
+    "numina:b0c1968e-058a-578a-9b27-52681ae24a57",
+    "numina:e44983b5-620d-5ed5-a507-b366430cfb14"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001381.lean\",\"5685a21570931e992b67ebbdae0432ab0da1f23d1feca05bad3c2a348085d15d\",0,\"inequalities_123191\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001382.lean\",\"5db93071c1074ac344e32fdf1a60edc6f45799930f386309ccb1699f3d98c9fb\",5,\"algebra_123407\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001383.lean\",\"8d4613ce115156be58ee447512b9ced11ee1ef5642701960b7cd67ec7f586c7c\",1,\"number_theory_123408\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001384.lean\",\"f4910540358d361fe91c79aa098106edfaa8ba71c01bd91c46a976914a7902e7\",0,\"algebra_123604\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000276-0000-5ab07b1abc6a54e3.parquet",
-      "sha256": "5ab07b1abc6a54e3a3b655c7a38a3a0e6f62816f06bf4d73748ee076eda4b8d2",
       "bytes": 127256,
+      "path": "data/train/pb3/numina-000276-0000-5ab07b1abc6a54e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "5ab07b1abc6a54e3a3b655c7a38a3a0e6f62816f06bf4d73748ee076eda4b8d2"
     },
     {
-      "path": "data/train/numina-000276-0001-a402f0d9bd4a59fb.parquet",
-      "sha256": "a402f0d9bd4a59fb41acd53923e87b9396e0291a0c6caa982c3ed30c761829e0",
       "bytes": 1154604,
+      "path": "data/train/pb3/numina-000276-0001-a402f0d9bd4a59fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "a402f0d9bd4a59fb41acd53923e87b9396e0291a0c6caa982c3ed30c761829e0"
     },
     {
-      "path": "data/train/numina-000276-0002-1c803d23df061c9f.parquet",
-      "sha256": "1c803d23df061c9f280f7e4f741f56f1c3a64f0e111daca4fe8763df201c342d",
       "bytes": 635201,
+      "path": "data/train/pb3/numina-000276-0002-1c803d23df061c9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 137,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "1c803d23df061c9f280f7e4f741f56f1c3a64f0e111daca4fe8763df201c342d"
     },
     {
-      "path": "data/train/numina-000276-0003-135e0116a02ce308.parquet",
-      "sha256": "135e0116a02ce3087959e0aadcf4c555d99825b78587f65987fc6c1ab87d3bc4",
       "bytes": 210232,
+      "path": "data/train/pb3/numina-000276-0003-135e0116a02ce308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 45,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "135e0116a02ce3087959e0aadcf4c555d99825b78587f65987fc6c1ab87d3bc4"
     },
     {
-      "path": "data/internal_test/numina-000276-0000-77e4924f2ea40537.parquet",
-      "sha256": "77e4924f2ea4053783bda03a49c15d33a8ae040e40e6b6befbd4c6309b1da2c9",
       "bytes": 80364,
+      "path": "data/internal_test/pb3/numina-000276-0000-77e4924f2ea40537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "77e4924f2ea4053783bda03a49c15d33a8ae040e40e6b6befbd4c6309b1da2c9"
     }
-  ],
-  "proof_ids": [
-    "numina:53d8138e-cc69-58b5-a027-b148e871fe64",
-    "numina:9fc551b0-9651-5f5e-b54d-e1e8aeb0c501",
-    "numina:b0c1968e-058a-578a-9b27-52681ae24a57",
-    "numina:e44983b5-620d-5ed5-a507-b366430cfb14"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001381.lean\",\"5685a21570931e992b67ebbdae0432ab0da1f23d1feca05bad3c2a348085d15d\",0,\"inequalities_123191\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001382.lean\",\"5db93071c1074ac344e32fdf1a60edc6f45799930f386309ccb1699f3d98c9fb\",5,\"algebra_123407\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001383.lean\",\"8d4613ce115156be58ee447512b9ced11ee1ef5642701960b7cd67ec7f586c7c\",1,\"number_theory_123408\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001384.lean\",\"f4910540358d361fe91c79aa098106edfaa8ba71c01bd91c46a976914a7902e7\",0,\"algebra_123604\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000277.json b/manifests/batches/numina/000277.json
index cacc12639a270e4d274c43eddab19189f67e5f7a..3aad6eae106684873df09042328b29eff54300e5 100644
--- a/manifests/batches/numina/000277.json
+++ b/manifests/batches/numina/000277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000277",
   "batch_fingerprint": "4a1b876504de0ab91c42320dd9db34f757d8d6faab63484f6638f5edda36334a",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 83,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000277-0000-b3803dd6a43cf998.parquet",
-      "sha256": "b3803dd6a43cf9987a026cb8dbff534addb9315000ac391cdde870c70c854815",
-      "bytes": 428573,
-      "rows": 68,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000277-0001-c9f5b20f072a70e2.parquet",
-      "sha256": "c9f5b20f072a70e29a501a01a7f7e001d2996963768321aa50e9111f5bd1652b",
-      "bytes": 432624,
-      "rows": 1,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000277-0002-20f86a01afbc7601.parquet",
-      "sha256": "20f86a01afbc76017e559ba8c5e1714916c3995f1b254bdc628b1fc11e7d8fd1",
-      "bytes": 297132,
-      "rows": 14,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22ac81f2-e78f-52bd-8ea7-301a13c7a3e9",
     "numina:4399e60a-361e-5312-9ce3-6c1bfa5155a3",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001387.lean\",\"e6245062a657044eabe158d8526f560610224028f53984ca6fbe89d6b16def8b\",0,\"number_theory_123989\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001388.lean\",\"ebc9606ca24bc436575d036b82c8632f007e2ca7bf2f637c1679617ee1e33d4c\",0,\"algebra_124100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001389.lean\",\"88f875806209c4b9961ea9762a2dd36316a9c0941c41d8537e2d4397fb25bb29\",0,\"number_theory_124540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428573,
+      "path": "data/train/p15/numina-000277-0000-b3803dd6a43cf998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "b3803dd6a43cf9987a026cb8dbff534addb9315000ac391cdde870c70c854815"
+    },
+    {
+      "bytes": 432624,
+      "path": "data/train/p15/numina-000277-0001-c9f5b20f072a70e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c9f5b20f072a70e29a501a01a7f7e001d2996963768321aa50e9111f5bd1652b"
+    },
+    {
+      "bytes": 297132,
+      "path": "data/train/p15/numina-000277-0002-20f86a01afbc7601.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "20f86a01afbc76017e559ba8c5e1714916c3995f1b254bdc628b1fc11e7d8fd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000278.json b/manifests/batches/numina/000278.json
index a5e5ebafc1061a930c6cf58b5bc25303532931dd..9d23f223689efe9d98e0904517fafdfac134bfe3 100644
--- a/manifests/batches/numina/000278.json
+++ b/manifests/batches/numina/000278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000278",
   "batch_fingerprint": "d78284ce9c90906212c3ca47f190773b59920aef1440bf6a352d33cadd828dd3",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 51,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000278-0000-76224f9bfb18526b.parquet",
-      "sha256": "76224f9bfb18526bc59ec4cefa720e2e2db197b7f78dca42d7bb052063822880",
-      "bytes": 567432,
-      "rows": 46,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    },
-    {
-      "path": "data/train/numina-000278-0001-1ea40959304c41fd.parquet",
-      "sha256": "1ea40959304c41fde830eb0834d2fb91adde65bd62e65191213f1fecdd8cd743",
-      "bytes": 177256,
-      "rows": 5,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00745621-0389-56ae-8e75-2ace562c0859",
     "numina:147b802d-14c2-5bd7-b9f4-2877e579fc0d",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001392.lean\",\"af119f4d1120ebd1f301a546f035c2ea2d28da506b48faef520471ee4ebda662\",0,\"number_theory_125129\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001393.lean\",\"ef4a26467e83c4adc0aaccf72a4a6b5c13f5fca0ceff5a1a666d4520c4e6184a\",0,\"number_theory_125487\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001394.lean\",\"1fedd7359c0a314d8439b55d3a380bb5bcb73b59c69c1d752b47a0d407c204e2\",5,\"number_theory_125542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 567432,
+      "path": "data/train/p4d/numina-000278-0000-76224f9bfb18526b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "76224f9bfb18526bc59ec4cefa720e2e2db197b7f78dca42d7bb052063822880"
+    },
+    {
+      "bytes": 177256,
+      "path": "data/train/p4d/numina-000278-0001-1ea40959304c41fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1ea40959304c41fde830eb0834d2fb91adde65bd62e65191213f1fecdd8cd743"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000279.json b/manifests/batches/numina/000279.json
index 4ebd51d5666bb7de22dab0fe6b2e16ae4be1cdd6..524a2d518ba98d76688131c18c561e77b9563635 100644
--- a/manifests/batches/numina/000279.json
+++ b/manifests/batches/numina/000279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000279",
   "batch_fingerprint": "f979efd1ad985fc653003e923a59c06de5f3b7508e7ff85550c55b5132af7dbb",
   "evidence": {
@@ -15,55 +14,56 @@
     "transitions": 33,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:33ba1d1e-73e2-5106-86d4-3bb9cd018ddd",
+    "numina:c9f09b94-a9bd-5239-892e-a65c94123bed",
+    "numina:df4f9faa-79dc-5c13-8e22-7f52b44dfc6d",
+    "numina:f2086b87-3551-5719-ba6b-7157eabfc4f4",
+    "numina:f6e4684a-60c9-563f-9841-cc4ddbf1d61c"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001395.lean\",\"69db228247669027b8f871c9356992ae5153678671b4621ff2b5b784b550b173\",0,\"algebra_125569\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001396.lean\",\"bdfd5c9a04e45dfd0b91a710e7c4380a0e9bc05be735e0582220d5407858bab8\",1,\"number_theory_126507\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001397.lean\",\"f14193f04561c8a5d22d199f9b71a45c1d4f07cec2fa2b6364e982f9282ff78a\",0,\"number_theory_606666\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001398.lean\",\"8526fbeb942a2e0e88dc696943ecdba014aaccb88590fb1c18de6731a146359c\",6,\"algebra_126792\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001399.lean\",\"ae39a99233f98bca5899fd78ba99befaf9955b7dff4082a1a9f92721465e3912\",0,\"algebra_126895\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000279-0000-1f156540734a969d.parquet",
-      "sha256": "1f156540734a969dde23ba444fe2bbdfb613a8acb9d9e6b968afd5e34e95f5cd",
       "bytes": 452568,
+      "path": "data/train/p39/numina-000279-0000-1f156540734a969d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "1f156540734a969dde23ba444fe2bbdfb613a8acb9d9e6b968afd5e34e95f5cd"
     },
     {
-      "path": "data/train/numina-000279-0001-aa6944b8b0a6c016.parquet",
-      "sha256": "aa6944b8b0a6c0166ea58175d7a3f950fb254ce99b1816c82f1e18c9824fd753",
       "bytes": 249687,
+      "path": "data/train/p39/numina-000279-0001-aa6944b8b0a6c016.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "aa6944b8b0a6c0166ea58175d7a3f950fb254ce99b1816c82f1e18c9824fd753"
     },
     {
-      "path": "data/train/numina-000279-0002-1fcafb4b20009844.parquet",
-      "sha256": "1fcafb4b20009844fcd31f8b6e7c6946327b84b95aa93fe546590933610a1bf3",
       "bytes": 362629,
+      "path": "data/train/p39/numina-000279-0002-1fcafb4b20009844.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "1fcafb4b20009844fcd31f8b6e7c6946327b84b95aa93fe546590933610a1bf3"
     },
     {
-      "path": "data/train/numina-000279-0003-5a98e66d6ff5192c.parquet",
-      "sha256": "5a98e66d6ff5192ccbbe083214df9fb355b44e1b1b812fda4d8f6e613860bb40",
       "bytes": 177770,
+      "path": "data/train/p39/numina-000279-0003-5a98e66d6ff5192c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "5a98e66d6ff5192ccbbe083214df9fb355b44e1b1b812fda4d8f6e613860bb40"
     },
     {
-      "path": "data/internal_test/numina-000279-0000-b22cf1cb0cd000b9.parquet",
-      "sha256": "b22cf1cb0cd000b9bb7c2592df30045f0c3bf94ea24d47213cbacd0dad9241b8",
       "bytes": 162529,
+      "path": "data/internal_test/p39/numina-000279-0000-b22cf1cb0cd000b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "8596ca126c8289ff266f7d6fe062fc1a37202427"
+      "sha256": "b22cf1cb0cd000b9bb7c2592df30045f0c3bf94ea24d47213cbacd0dad9241b8"
     }
-  ],
-  "proof_ids": [
-    "numina:33ba1d1e-73e2-5106-86d4-3bb9cd018ddd",
-    "numina:c9f09b94-a9bd-5239-892e-a65c94123bed",
-    "numina:df4f9faa-79dc-5c13-8e22-7f52b44dfc6d",
-    "numina:f2086b87-3551-5719-ba6b-7157eabfc4f4",
-    "numina:f6e4684a-60c9-563f-9841-cc4ddbf1d61c"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001395.lean\",\"69db228247669027b8f871c9356992ae5153678671b4621ff2b5b784b550b173\",0,\"algebra_125569\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001396.lean\",\"bdfd5c9a04e45dfd0b91a710e7c4380a0e9bc05be735e0582220d5407858bab8\",1,\"number_theory_126507\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001397.lean\",\"f14193f04561c8a5d22d199f9b71a45c1d4f07cec2fa2b6364e982f9282ff78a\",0,\"number_theory_606666\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001398.lean\",\"8526fbeb942a2e0e88dc696943ecdba014aaccb88590fb1c18de6731a146359c\",6,\"algebra_126792\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001399.lean\",\"ae39a99233f98bca5899fd78ba99befaf9955b7dff4082a1a9f92721465e3912\",0,\"algebra_126895\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000280.json b/manifests/batches/numina/000280.json
index aa0c26b615e260482ca5f655966b0a0b93ff7d07..d3adff1cec311689478c803512ac5fb58825997c 100644
--- a/manifests/batches/numina/000280.json
+++ b/manifests/batches/numina/000280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000280",
   "batch_fingerprint": "9bb518a5aa799c15ec500bab86a336c9ce8253a691e4c8613ef9496a0146c8b8",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000280-0000-76d47b4371b9ce1d.parquet",
-      "sha256": "76d47b4371b9ce1d6b0d32757b4458cd9937ad101451218ebfcba2ebcd267212",
-      "bytes": 222279,
-      "rows": 23,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    },
-    {
-      "path": "data/internal_test/numina-000280-0000-94d3e3cdfad053d8.parquet",
-      "sha256": "94d3e3cdfad053d81bc856cf034fe6a20ba514de7418f5bc60d3b939defc976d",
-      "bytes": 299359,
-      "rows": 12,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03d3f2c3-2dfb-5ff8-a4ff-676e1eede548",
     "numina:0ab2d8f4-cb57-5d6c-bb58-730bfa465889",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001401.lean\",\"dbc6d91cc8b1baff89456e5b12b44bbb146957551f04947bb7a3f9d20a16dcef\",0,\"algebra_127452\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001403.lean\",\"80877cdc4812fea32f57a25cbda29e06471726b5fe4773c96f10cbca2d8c4a18\",0,\"inequalities_127821\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001404.lean\",\"2ee724a233bfe591552170f7e05be44725d998333ab16d30c839d85ae5663990\",0,\"calculus_127941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222279,
+      "path": "data/train/p40/numina-000280-0000-76d47b4371b9ce1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "76d47b4371b9ce1d6b0d32757b4458cd9937ad101451218ebfcba2ebcd267212"
+    },
+    {
+      "bytes": 299359,
+      "path": "data/internal_test/p40/numina-000280-0000-94d3e3cdfad053d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "94d3e3cdfad053d81bc856cf034fe6a20ba514de7418f5bc60d3b939defc976d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000281.json b/manifests/batches/numina/000281.json
index 5ef5358f57f8c8e94884b4188cfac040c461455e..1b2d66cd42ec7f3b026a796cf7b986b391bde5b1 100644
--- a/manifests/batches/numina/000281.json
+++ b/manifests/batches/numina/000281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000281",
   "batch_fingerprint": "2315548b7e2dbb567a3bf0f49572c94730b3081207a700442715b9fea60976d5",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 32,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000281-0000-4f5dfb4bf94fc2f7.parquet",
-      "sha256": "4f5dfb4bf94fc2f76f7d7f23b7968b2dc6c506aca3f13b1809862394aef0fd55",
-      "bytes": 447644,
-      "rows": 32,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0903ccc5-6ef0-5daf-8d49-33aea4beb89a",
     "numina:1de71cd9-a99a-5947-9082-3d6eefe7b61c",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001407.lean\",\"a947d2417943c4b02761dd2dc12c836d858b3f3e28c4be1ca57f2d1606471fa6\",0,\"algebra_128360\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001408.lean\",\"f20bc9744bea38dfa6b30c9e5c5173083bc289324d47fa936cf5fbb074db0d25\",0,\"number_theory_128507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001409.lean\",\"7bea38027b24d0a58358030605cdebf6eb19c8d3d6442e0b57651a1513cb2e33\",0,\"calculus_129004\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 447644,
+      "path": "data/train/p29/numina-000281-0000-4f5dfb4bf94fc2f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "4f5dfb4bf94fc2f76f7d7f23b7968b2dc6c506aca3f13b1809862394aef0fd55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000282.json b/manifests/batches/numina/000282.json
index c3ca41fbb0d108ae5f111554ac637fa9d1e49c8f..eb8151d3d721db4d2040e5c0a1a2517febdf8bb5 100644
--- a/manifests/batches/numina/000282.json
+++ b/manifests/batches/numina/000282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000282",
   "batch_fingerprint": "6d59d6cff800aec39432816b438475877221b9da5f5299c70e739517a5811824",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 49,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000282-0000-498449bbc767276c.parquet",
-      "sha256": "498449bbc767276c9a20a297a196c5660cb5855c40fa8e3a26dd715bfba5389a",
-      "bytes": 532925,
-      "rows": 37,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    },
-    {
-      "path": "data/train/numina-000282-0001-ca9939e28e245b4c.parquet",
-      "sha256": "ca9939e28e245b4cc3c7d0b07adf21a593a33e8773a204130cbca63a781984a8",
-      "bytes": 465128,
-      "rows": 12,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0720b039-1561-5863-a055-fa80c6aff520",
     "numina:67f14853-8604-5abb-9879-1feacc40fd4e",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001412.lean\",\"d96e6162e6894e267f70164c95ca812a7b183fb8b97471da6d3dc22f55d36c89\",0,\"algebra_129596\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001413.lean\",\"f00a7860cdcee15acccdcac59a42196a98fbc34710530d273bfc9cdf93497b34\",5,\"algebra_129707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001414.lean\",\"f0684ced7ba309cef41038acc1ee7e635f44d6bc62b68323476cf6826cd37321\",2,\"algebra_129968.algebra_129968\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 532925,
+      "path": "data/train/p67/numina-000282-0000-498449bbc767276c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "498449bbc767276c9a20a297a196c5660cb5855c40fa8e3a26dd715bfba5389a"
+    },
+    {
+      "bytes": 465128,
+      "path": "data/train/p67/numina-000282-0001-ca9939e28e245b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ca9939e28e245b4cc3c7d0b07adf21a593a33e8773a204130cbca63a781984a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000283.json b/manifests/batches/numina/000283.json
index 3fdb7dba3317b5e9e100f289ba54d49f15001f39..b7f34367f9af7e059609f89dfdcb4e37832b1321 100644
--- a/manifests/batches/numina/000283.json
+++ b/manifests/batches/numina/000283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000283",
   "batch_fingerprint": "53c4f133721e992cadd20a419cf4c68c6f7cedf4bf14d948f9466930c1e3bb81",
   "evidence": {
@@ -34,22 +33,7 @@
     "transitions": 37,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000283-0000-f98340e1d0cc13c6.parquet",
-      "sha256": "f98340e1d0cc13c69dc855be55bdbcfdfb77ac25acc365d513ef5baf4c331489",
-      "bytes": 487318,
-      "rows": 29,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    },
-    {
-      "path": "data/internal_test/numina-000283-0000-7acfb245dd74a751.parquet",
-      "sha256": "7acfb245dd74a751b1b08fe97237ceceb0d7378debeeb802061ebab2eec9235b",
-      "bytes": 99557,
-      "rows": 8,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14301531-460d-5782-8098-6fa08b428e8c",
     "numina:61fdad76-b725-57d9-aeb7-bb8f4fbe2f18",
@@ -61,5 +45,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001416.lean\",\"139976648347f29771b170de74ccd4f8f3289e64f85ffa91f19801ecffc46c19\",0,\"algebra_130548\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001417.lean\",\"aadd957f29fb9b2494071926b380e19a7993376cc4e734ade0f85a8784378e9e\",0,\"calculus_130853\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001419.lean\",\"a54edea9e8654ee54a4f26edc63e450460e82c9687294f53a38ce0f54b2094e2\",0,\"algebra_131054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487318,
+      "path": "data/train/p37/numina-000283-0000-f98340e1d0cc13c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f98340e1d0cc13c69dc855be55bdbcfdfb77ac25acc365d513ef5baf4c331489"
+    },
+    {
+      "bytes": 99557,
+      "path": "data/internal_test/p37/numina-000283-0000-7acfb245dd74a751.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7acfb245dd74a751b1b08fe97237ceceb0d7378debeeb802061ebab2eec9235b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000284.json b/manifests/batches/numina/000284.json
index 0cba4fd9e1795f6eaf6ff2e4aeb6b73cc71e9056..d1014bd30ca1c37b0db8ccd6b5c93923ba5fef62 100644
--- a/manifests/batches/numina/000284.json
+++ b/manifests/batches/numina/000284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000284",
   "batch_fingerprint": "8d437b3f437ee127ff134a187d78a1abb67b3cc2efc9eb1baa9a4aa357759646",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 39,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000284-0000-c49b4215e63261d0.parquet",
-      "sha256": "c49b4215e63261d050b39e92b2ecded9a63a15ead56dd8a2850efc31561dbd3d",
-      "bytes": 235572,
-      "rows": 26,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    },
-    {
-      "path": "data/dev/numina-000284-0000-0283ce8128c69281.parquet",
-      "sha256": "0283ce8128c692816bf8aaebfa8097324f964b42caff5c8919f0f5f23aa74343",
-      "bytes": 60320,
-      "rows": 13,
-      "revision": "52257ea342ebfffc86968762cab62f081df5bb3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dbcd5f1-2df4-5e97-9eb1-1abf51268bbd",
     "numina:1e3928b6-10fc-5d47-903f-4dc873d0ba85",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001422.lean\",\"03556525f49d3988c75568d94dda6be4defca10e8ae35be760dd4c54bf456e8d\",0,\"algebra_131959\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001423.lean\",\"c23f5904ee619e1fda2723148c021bc2dca38d9e63de64b7f8b2bdd8755221b2\",0,\"calculus_132790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001424.lean\",\"97243af8b4aecde4d0ee36b5af4ea6e4f7860720b13436b43e5072a769882adb\",0,\"algebra_132825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235572,
+      "path": "data/train/pa6/numina-000284-0000-c49b4215e63261d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c49b4215e63261d050b39e92b2ecded9a63a15ead56dd8a2850efc31561dbd3d"
+    },
+    {
+      "bytes": 60320,
+      "path": "data/dev/pa6/numina-000284-0000-0283ce8128c69281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0283ce8128c692816bf8aaebfa8097324f964b42caff5c8919f0f5f23aa74343"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000285.json b/manifests/batches/numina/000285.json
index 5090973f10341cb943ad10f26291edf7d784dbdc..9fdda000d1d5d8afdd7200b09dbab83fa4f17543 100644
--- a/manifests/batches/numina/000285.json
+++ b/manifests/batches/numina/000285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000285",
   "batch_fingerprint": "8de16e50fefe8b27461397232801eee9266c48a845e544cc228993e5651f32c8",
   "evidence": {
@@ -15,48 +14,49 @@
     "transitions": 59,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0469ca23-3db3-55f0-bbc2-c3bbe8c9e65f",
+    "numina:0cfc94ec-54bc-5174-b80a-b3d10bf1125b",
+    "numina:57fb7dd2-45f5-595f-847b-dfcc9fe5fe05",
+    "numina:73700055-6b84-5891-b316-0223836b726a",
+    "numina:d3e04c7d-1e29-55ef-9def-f88a6e2613f7"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001425.lean\",\"295b7641bd7f237b3395b59199217fbc84c5584d71083283645fcf6ae851b40c\",0,\"inequalities_602032\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001426.lean\",\"8261367fbabc3993a89468480d42c4c11a748b45f1fcc1d4da37940bb4992188\",4,\"number_theory_133431\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001427.lean\",\"73a2e6f5ae6f9b8382db0e2147e8a268a7430f23b94b40b7b4fe5cb8ee73fcde\",0,\"number_theory_133637\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001428.lean\",\"cdb633edd7d57c2dc95100e9fd8eafa16a5d400601b87bc354e5599543a5820e\",1,\"algebra_133687\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001429.lean\",\"a5ff062e9a8a1051c4fb7136a7926d6d45356efac06d0555fb4417ab73d7e74b\",0,\"number_theory_134288\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000285-0000-eb3930cb71f7db13.parquet",
-      "sha256": "eb3930cb71f7db13e436304ff2bdf5b8bf883600bc0abb297ea0083ad373891e",
       "bytes": 348778,
+      "path": "data/train/p26/numina-000285-0000-eb3930cb71f7db13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "47f701ee97f1efc3f7e298f7c8cdf869edb4444b"
+      "sha256": "eb3930cb71f7db13e436304ff2bdf5b8bf883600bc0abb297ea0083ad373891e"
     },
     {
-      "path": "data/train/numina-000285-0001-5b80a805a6673b50.parquet",
-      "sha256": "5b80a805a6673b50d255cfd027c46a246239fed430d6b0550a99a5f3864aa92a",
       "bytes": 407343,
+      "path": "data/train/p26/numina-000285-0001-5b80a805a6673b50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "47f701ee97f1efc3f7e298f7c8cdf869edb4444b"
+      "sha256": "5b80a805a6673b50d255cfd027c46a246239fed430d6b0550a99a5f3864aa92a"
     },
     {
-      "path": "data/train/numina-000285-0002-fe64e47e913703ff.parquet",
-      "sha256": "fe64e47e913703ff4f6bb768c99536b4fc28dfb8a54e50025bfcbebebac8497d",
       "bytes": 89867,
+      "path": "data/train/p26/numina-000285-0002-fe64e47e913703ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "47f701ee97f1efc3f7e298f7c8cdf869edb4444b"
+      "sha256": "fe64e47e913703ff4f6bb768c99536b4fc28dfb8a54e50025bfcbebebac8497d"
     },
     {
-      "path": "data/dev/numina-000285-0000-750fb995e1f42149.parquet",
-      "sha256": "750fb995e1f42149774113fef6e7f12fb2e1148d9cc862a64ea51c6c9a4ada82",
       "bytes": 167636,
+      "path": "data/dev/p26/numina-000285-0000-750fb995e1f42149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "47f701ee97f1efc3f7e298f7c8cdf869edb4444b"
+      "sha256": "750fb995e1f42149774113fef6e7f12fb2e1148d9cc862a64ea51c6c9a4ada82"
     }
-  ],
-  "proof_ids": [
-    "numina:0469ca23-3db3-55f0-bbc2-c3bbe8c9e65f",
-    "numina:0cfc94ec-54bc-5174-b80a-b3d10bf1125b",
-    "numina:57fb7dd2-45f5-595f-847b-dfcc9fe5fe05",
-    "numina:73700055-6b84-5891-b316-0223836b726a",
-    "numina:d3e04c7d-1e29-55ef-9def-f88a6e2613f7"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001425.lean\",\"295b7641bd7f237b3395b59199217fbc84c5584d71083283645fcf6ae851b40c\",0,\"inequalities_602032\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001426.lean\",\"8261367fbabc3993a89468480d42c4c11a748b45f1fcc1d4da37940bb4992188\",4,\"number_theory_133431\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001427.lean\",\"73a2e6f5ae6f9b8382db0e2147e8a268a7430f23b94b40b7b4fe5cb8ee73fcde\",0,\"number_theory_133637\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001428.lean\",\"cdb633edd7d57c2dc95100e9fd8eafa16a5d400601b87bc354e5599543a5820e\",1,\"algebra_133687\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001429.lean\",\"a5ff062e9a8a1051c4fb7136a7926d6d45356efac06d0555fb4417ab73d7e74b\",0,\"number_theory_134288\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000286.json b/manifests/batches/numina/000286.json
index de8d54719612c082b242d1193c4641502d2a36a0..ea8497cf0dc450c99ac28d2fb03f54d72dbfaeb9 100644
--- a/manifests/batches/numina/000286.json
+++ b/manifests/batches/numina/000286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000286",
   "batch_fingerprint": "76ab5c86118f59611fa0421cde64b04a9ae87305ecb694733e007de33f502b62",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 47,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000286-0000-9fc66c1d2c4dfaa0.parquet",
-      "sha256": "9fc66c1d2c4dfaa0ae2a59c2b366c46efc989fce6f4c4be33de0c0df531362b0",
-      "bytes": 526823,
-      "rows": 47,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27d528ec-bdef-5773-9284-80852f6ace58",
     "numina:4beaf8c6-f9b6-5a59-80f9-fd8bf2325d18",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001432.lean\",\"90be5aaedac4673cff63b5586290692bc2895c3847efa13b2617628c7160cc1e\",2,\"number_theory_134979\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001433.lean\",\"8b077b313d75d26baaf694a005ae48a2fdac71e4396b2f2570e14fe875b67252\",0,\"calculus_135033\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001434.lean\",\"e16bfb21de0703b823eb5012f625935a424ffb26bafceda249fd7466d677f4be\",0,\"algebra_135202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 526823,
+      "path": "data/train/pda/numina-000286-0000-9fc66c1d2c4dfaa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "9fc66c1d2c4dfaa0ae2a59c2b366c46efc989fce6f4c4be33de0c0df531362b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000287.json b/manifests/batches/numina/000287.json
index eef6f351d2e14e273811c764e8ce96cd56aae5b8..0ab59498bb8871252c28c5d74bfcf4d56f193d33 100644
--- a/manifests/batches/numina/000287.json
+++ b/manifests/batches/numina/000287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000287",
   "batch_fingerprint": "a0423b8a7a38c715cefc22e1ee9a2c52efdee1e53fde02cc7a0f39863f20921f",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000287-0000-b6629f05ae054f86.parquet",
-      "sha256": "b6629f05ae054f86e84908acea45c19a0d39a05aeb975cf0784cb47263509290",
-      "bytes": 484540,
-      "rows": 27,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1464dfba-f3bc-5757-8dbf-6be1b1c02ce3",
     "numina:1874befa-6702-51ff-a6ae-7d04772c49b8",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001437.lean\",\"b9c7dc40f7678f783199fdc7675a56492fac23f39b1a93ae4f31f2882927cb29\",0,\"algebra_135377\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001438.lean\",\"efd678a0e8b9f4a2d93d04dd10a86304e389a4155208ef8630ae201bc8f11934\",0,\"algebra_135377\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001439.lean\",\"ebea25eca06f1be0f8a9fe65aa6b5e6c64665be1a49363487511be2f5ab06b9c\",0,\"number_theory_135430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484540,
+      "path": "data/train/p10/numina-000287-0000-b6629f05ae054f86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "b6629f05ae054f86e84908acea45c19a0d39a05aeb975cf0784cb47263509290"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000288.json b/manifests/batches/numina/000288.json
index c9063d7bd2515478366408f2853bdcf88a727713..b4e28c27a10eee00be6983e65dfe698e57a5c602 100644
--- a/manifests/batches/numina/000288.json
+++ b/manifests/batches/numina/000288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000288",
   "batch_fingerprint": "65bfd86e7dfcb12ef3af5edfc028baa36bbf59d64e514a5203d4d3d4a98d1556",
   "evidence": {
@@ -35,15 +34,7 @@
     "transitions": 45,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000288-0000-948a31866bacf037.parquet",
-      "sha256": "948a31866bacf037201ab90ced353d2093e1ec9e05460e2418387770fe75f7ef",
-      "bytes": 490824,
-      "rows": 45,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27595efa-f248-5817-91b4-2ac2fd98f2ce",
     "numina:4353eb8a-38eb-57bd-ab00-8559e1519488",
@@ -55,5 +46,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001441.lean\",\"dac6d60199bc21cd24cac260ce0593356d250bb3645d0be0b1a015f02cc9b1b3\",0,\"algebra_135929\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001442.lean\",\"2db5e03eae72b9c35cf83129bd5ace8d1a2c0f1d7a6704645b3d3243fd48f5d3\",0,\"algebra_137371\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001444.lean\",\"bc5b861e1833693d6b05c44f53e052e0edb0b7f8e8763f430f55d879615e86d0\",0,\"calculus_138023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 490824,
+      "path": "data/train/p28/numina-000288-0000-948a31866bacf037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "948a31866bacf037201ab90ced353d2093e1ec9e05460e2418387770fe75f7ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000289.json b/manifests/batches/numina/000289.json
index 3d5767fd97616416fdd9da8af18a12011905c8c4..7d8223681b8350949d497795cabc472e5c6dc81e 100644
--- a/manifests/batches/numina/000289.json
+++ b/manifests/batches/numina/000289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000289",
   "batch_fingerprint": "c9e096e9e3921f530670def44fe38cabc6f7c44ffdc5a5a428c70aff0801962f",
   "evidence": {
@@ -41,15 +40,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000289-0000-eb4d2cd64ec8bd4e.parquet",
-      "sha256": "eb4d2cd64ec8bd4e8beeda8c628d0816304f3b791a1b7295b8d31d534c2a23ff",
-      "bytes": 337136,
-      "rows": 34,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a591d0f-a6f9-58cf-be67-4d96f68b1914",
     "numina:61a16d1b-6baf-516d-8589-80c8564b9fe6",
@@ -61,5 +52,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001446.lean\",\"6369043350b800ca622c6ee677b109f0d21d94c19649e61ffabf4739e98ea5e7\",0,\"number_theory_138924\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001448.lean\",\"206612e74f0ae5515ba38a831ff3ba545c8745ac304ce1c9c56c8329d99ca348\",0,\"calculus_139752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001449.lean\",\"0c799612b06a926b28c171eef7de6cd5d85a6284445ff43142099d588edd2e03\",7,\"calculus_139988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337136,
+      "path": "data/train/pf1/numina-000289-0000-eb4d2cd64ec8bd4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "eb4d2cd64ec8bd4e8beeda8c628d0816304f3b791a1b7295b8d31d534c2a23ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000290.json b/manifests/batches/numina/000290.json
index 8995fbe15fdf12663a23d53fe0ea345a7af30eea..964bd6b310e67169f58eb483da63c51901e209a5 100644
--- a/manifests/batches/numina/000290.json
+++ b/manifests/batches/numina/000290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000290",
   "batch_fingerprint": "3d03248586b8eda203813b897e8835fb648003b9963e8fd8411ba63b62647d9c",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 27,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000290-0000-d01d582a7082c2cb.parquet",
-      "sha256": "d01d582a7082c2cbd8b612cab24d6ede738e7e9468edb042a0ed5608e64839e3",
-      "bytes": 236272,
-      "rows": 18,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    },
-    {
-      "path": "data/dev/numina-000290-0000-4792babb3e0d87a4.parquet",
-      "sha256": "4792babb3e0d87a4a1f1d988a42114bf6c8133a37cb5068106e53fd066085273",
-      "bytes": 57090,
-      "rows": 4,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    },
-    {
-      "path": "data/internal_test/numina-000290-0000-9bc454e3a94eaa7d.parquet",
-      "sha256": "9bc454e3a94eaa7da6b8465d637e4d485c1cc93e9c7c750c3b8a5f1f57743ddd",
-      "bytes": 120579,
-      "rows": 5,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:306630ff-1a1b-560d-a740-e1e8a3bfeaba",
     "numina:34ca29fc-0487-5228-8c7c-f81e2e88f423",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001452.lean\",\"e128f72957bc7108686924da98e10ef4a68c79ece46200618d9ac6d0f6dfe31f\",0,\"inequalities_140388\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001453.lean\",\"8329b1ba4ffafb751939ab2aec29a2ea6bd170c7a0a586bd4614dc213da09eca\",0,\"inequalities_140880\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001454.lean\",\"cc6807041016e2cfbdeba4ef332a165bd005341bb2581ac52010c52c9f5caf49\",0,\"number_theory_141300\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236272,
+      "path": "data/train/pc4/numina-000290-0000-d01d582a7082c2cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d01d582a7082c2cbd8b612cab24d6ede738e7e9468edb042a0ed5608e64839e3"
+    },
+    {
+      "bytes": 57090,
+      "path": "data/dev/pc4/numina-000290-0000-4792babb3e0d87a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4792babb3e0d87a4a1f1d988a42114bf6c8133a37cb5068106e53fd066085273"
+    },
+    {
+      "bytes": 120579,
+      "path": "data/internal_test/pc4/numina-000290-0000-9bc454e3a94eaa7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9bc454e3a94eaa7da6b8465d637e4d485c1cc93e9c7c750c3b8a5f1f57743ddd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000291.json b/manifests/batches/numina/000291.json
index f46efb72521a56c7e97bf508db95811e9bb607c8..dc1f6a9a7e0d16689643a5b8cffb1498a35ea56f 100644
--- a/manifests/batches/numina/000291.json
+++ b/manifests/batches/numina/000291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000291",
   "batch_fingerprint": "53c4a27980fa3fc8f04ea369b576508a0ced235721c282b197c93d1e2ee90988",
   "evidence": {
@@ -42,15 +41,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000291-0000-a601aee4099077f7.parquet",
-      "sha256": "a601aee4099077f72e5f260c49744b61542423c562a84c86750e7cab97bca362",
-      "bytes": 156382,
-      "rows": 28,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ea30635-b6c7-533c-bca6-1b1bd2d6ec61",
     "numina:8fc891cc-5277-5a29-bd3d-d690d17a42ec",
@@ -62,5 +53,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001456.lean\",\"65f7c65841074c8d17c2a80ef5d8c03f18c18c9a3a786c25a52ea326ad109300\",0,\"algebra_141794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001457.lean\",\"a409ae17b2aabdc1193e4f29b151498c821f6de08a5906e2c4c3e5e3cfa48f72\",1,\"calculus_142098\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001459.lean\",\"0919bf0dd84f17dac3b7584d43a9e4753d08e92843c21d192e94beca0a2976fe\",0,\"number_theory_142997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156382,
+      "path": "data/train/pd1/numina-000291-0000-a601aee4099077f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a601aee4099077f72e5f260c49744b61542423c562a84c86750e7cab97bca362"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000292.json b/manifests/batches/numina/000292.json
index 3f97455d79b6f8a86ba6dc6d42499ab5358644d0..9035c19b2d5d010b7ab331a0cdcc142410051d6b 100644
--- a/manifests/batches/numina/000292.json
+++ b/manifests/batches/numina/000292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000292",
   "batch_fingerprint": "c4b6f9cfa69cd1f765e0ba505342452c4a3558ce0f45059b53d55c8b23ec83ca",
   "evidence": {
@@ -14,15 +13,7 @@
     "transitions": 46,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000292-0000-c33104fb342b5b8b.parquet",
-      "sha256": "c33104fb342b5b8b09bea025c11c060adc6ada9b4a637f7fc1830edff9de8937",
-      "bytes": 324358,
-      "rows": 46,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:50df2350-ebf6-5b21-9c8a-225e39ff7878",
     "numina:c56ac44d-e5f0-556c-95fc-3eeaa73bd146",
@@ -36,5 +27,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001462.lean\",\"51abf83ebf552c36467baa6b37796a109afb144c4db20e34729ad31ee227f740\",0,\"calculus_143988\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001463.lean\",\"36d5b86f8f4201a54f106d729f5355084af78e185d8f0f69caaf0aca29d4744b\",0,\"algebra_144153\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001464.lean\",\"1045a7418a7f913eaec9e08b3ea4b7c207e92fe2a8a179e913182f7a6c17337b\",0,\"number_theory_144504\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324358,
+      "path": "data/train/p44/numina-000292-0000-c33104fb342b5b8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c33104fb342b5b8b09bea025c11c060adc6ada9b4a637f7fc1830edff9de8937"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000293.json b/manifests/batches/numina/000293.json
index 1c55acc845da4762444e5248d4e95654450d0084..be54f13b6b957c187699e49ed90529d28f1ce542 100644
--- a/manifests/batches/numina/000293.json
+++ b/manifests/batches/numina/000293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000293",
   "batch_fingerprint": "aae17d55337b2fe387e754f5edfd35b72ffbc2c172780561c464bb982905e1dd",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 35,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000293-0000-7e7d651dd9f2d661.parquet",
-      "sha256": "7e7d651dd9f2d66147d54b77f01f31426d856b92df2698773fd47d5c72c51d70",
-      "bytes": 518442,
-      "rows": 35,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6c490d48-74c4-507c-b0f8-3b7882757b0b",
     "numina:a2606861-2305-5419-ab86-e61bb922eede",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001466.lean\",\"003ef03099b6ba2055764d80005d8676d85c1d51dd0fbab405a765b2f89bb352\",0,\"algebra_146586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001467.lean\",\"c8f49bd9c01fafb884ac63f37fc4a7d5f7aeeff85b783f5ed260f6506a755386\",0,\"algebra_146641\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001468.lean\",\"f9decffc9d3a1f30475a4c94bc2250ca3e66c3f48a53ab76c65a5aebdf8334c8\",5,\"inequalities_146933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 518442,
+      "path": "data/train/p2f/numina-000293-0000-7e7d651dd9f2d661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7e7d651dd9f2d66147d54b77f01f31426d856b92df2698773fd47d5c72c51d70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000294.json b/manifests/batches/numina/000294.json
index cf13d0c5ac4450ed2b7e11e086587b213aa8fc8e..f303245c01ac44b5e3844f65a84d49c5bfc4cf03 100644
--- a/manifests/batches/numina/000294.json
+++ b/manifests/batches/numina/000294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000294",
   "batch_fingerprint": "071c25cb9ad8102a16d9f19e45b194742e5edc5d9b7c03ec21a496d3281902d5",
   "evidence": {
@@ -15,29 +14,7 @@
     "transitions": 41,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000294-0000-e8867280b6651583.parquet",
-      "sha256": "e8867280b6651583d56cba455f97261caee0a4174cb8b4dd151d66f0ceadbb16",
-      "bytes": 399632,
-      "rows": 13,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/dev/numina-000294-0000-2b4bfbc6a2daef87.parquet",
-      "sha256": "2b4bfbc6a2daef8759b0d7e6730d22906bdca85810117c697eb9cc5cde013b61",
-      "bytes": 176728,
-      "rows": 9,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/internal_test/numina-000294-0000-db3a4ae347a85465.parquet",
-      "sha256": "db3a4ae347a8546554b5ba7120d637dcaac7481983b303693bf496a9c593d536",
-      "bytes": 554439,
-      "rows": 19,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b83bb0e-5043-5f8c-8104-7fd9e04d646d",
     "numina:2283e2de-76b9-5023-8523-0183851f9d6a",
@@ -51,5 +28,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001472.lean\",\"746305b9aa8764da918c7ddb8396d754601aedf85630ee12ca6e35cb6e094588\",0,\"inequalities_148219\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001473.lean\",\"e6e75b86c078d30b828dd514fe93788ba8aafd3de6d34c681cc847a1bb0c7cc8\",0,\"inequalities_148288\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001474.lean\",\"e8ead85c61d1440f56d58db30f72ff7fea5e77489086a952d196c433b3cc8f73\",0,\"number_theory_148731.number_theory_148731\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399632,
+      "path": "data/train/pb7/numina-000294-0000-e8867280b6651583.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e8867280b6651583d56cba455f97261caee0a4174cb8b4dd151d66f0ceadbb16"
+    },
+    {
+      "bytes": 176728,
+      "path": "data/dev/pb7/numina-000294-0000-2b4bfbc6a2daef87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2b4bfbc6a2daef8759b0d7e6730d22906bdca85810117c697eb9cc5cde013b61"
+    },
+    {
+      "bytes": 554439,
+      "path": "data/internal_test/pb7/numina-000294-0000-db3a4ae347a85465.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "db3a4ae347a8546554b5ba7120d637dcaac7481983b303693bf496a9c593d536"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000295.json b/manifests/batches/numina/000295.json
index bd5987fb87e6f915d35440df898e5191b27dc1fe..70786710cec7ef89448e3cc9bb042784d91743fb 100644
--- a/manifests/batches/numina/000295.json
+++ b/manifests/batches/numina/000295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000295",
   "batch_fingerprint": "0fca217e3a309a04117fcb34473a9f2f357390f5a360df742c30e8526cc340fc",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 47,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000295-0000-c6be7d8a6559b64f.parquet",
-      "sha256": "c6be7d8a6559b64f93edbd916dbd14721790943c2a4242bfa6c5cae561376cdc",
-      "bytes": 370392,
-      "rows": 47,
-      "revision": "08de9f8c132751606363ffb558ff009737074f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13ff37e0-90b9-5f4c-906e-97a44fdc3904",
     "numina:186bc59f-cffe-53c6-9d6e-b5db4578378c",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001477.lean\",\"18aa0d01346b2ae741adfc5bcd54cb2ddcaaa2871aed185718e20d891c7540d7\",0,\"number_theory_148993\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001478.lean\",\"922992e9bd40fd031b18c4d5fd8a6259104fd1506d2864b55438ed5a9cc0cdd6\",0,\"algebra_149194\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001479.lean\",\"2231962f748f097ea20ee8ba80b19a5909b30910c32d7a0616c22b73e958bcdf\",0,\"algebra_149577\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370392,
+      "path": "data/train/pab/numina-000295-0000-c6be7d8a6559b64f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "c6be7d8a6559b64f93edbd916dbd14721790943c2a4242bfa6c5cae561376cdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000296.json b/manifests/batches/numina/000296.json
index cbc4a1b12841e96d8e3b281838a8ecccd92da583..4fcdbc082ef2cdac710a5ea07814837fa929e4b6 100644
--- a/manifests/batches/numina/000296.json
+++ b/manifests/batches/numina/000296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000296",
   "batch_fingerprint": "cc972f759ba558a5c8dd9c784a527dc8dcbb4a5e3cc73e15621d5f02944bd40b",
   "evidence": {
@@ -34,39 +33,40 @@
     "transitions": 28,
     "validation_failures": []
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1749bd6f-481b-5536-a28a-f5140321e7f8",
+    "numina:3f9fa8ab-3a80-50da-9bf8-46e7c2e529fb",
+    "numina:449f619e-51eb-5d01-9e1d-1fb072b2c311",
+    "numina:c23d0e91-0456-5c4e-875d-6a614cb260d7"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001480.lean\",\"99debe9b52d54175a6034afa0e5c1fd3d99436aaecef1f77a8c10479dbf6899b\",0,\"algebra_149681\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001481.lean\",\"6bb700e8be9595b8dd78b709091ee809ff5b15681575b25c573584491472e7f2\",0,\"number_theory_149724\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001483.lean\",\"a580a9927ec76763b8341bc01697a9c845f97e4a79f7ac5373dd4c1c89fea153\",0,\"number_theory_149913\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001484.lean\",\"ecaa7ca0cb6e9bf78377499cb0cc10f2ef202b4c7807238a8cf00ced0f9ae59c\",0,\"algebra_150149\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000296-0000-37bb4446e51c51ed.parquet",
-      "sha256": "37bb4446e51c51edd4e33f4f1e948a8d1ef5ecfb9f22958340a244d8750c7384",
       "bytes": 98008,
+      "path": "data/train/p91/numina-000296-0000-37bb4446e51c51ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
+      "sha256": "37bb4446e51c51edd4e33f4f1e948a8d1ef5ecfb9f22958340a244d8750c7384"
     },
     {
-      "path": "data/dev/numina-000296-0000-9f39c3bfac920fec.parquet",
-      "sha256": "9f39c3bfac920feced5db9de627627c2337909fc84ab9a05d880289b6a0b04e4",
       "bytes": 55549,
+      "path": "data/dev/p91/numina-000296-0000-9f39c3bfac920fec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
+      "sha256": "9f39c3bfac920feced5db9de627627c2337909fc84ab9a05d880289b6a0b04e4"
     },
     {
-      "path": "data/internal_test/numina-000296-0000-f5a5ee18b1b491b0.parquet",
-      "sha256": "f5a5ee18b1b491b0a8600cfc0d28e2404f1811fe6d19e314ded5c79d6ff07f84",
       "bytes": 202360,
+      "path": "data/internal_test/p91/numina-000296-0000-f5a5ee18b1b491b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
+      "sha256": "f5a5ee18b1b491b0a8600cfc0d28e2404f1811fe6d19e314ded5c79d6ff07f84"
     }
-  ],
-  "proof_ids": [
-    "numina:1749bd6f-481b-5536-a28a-f5140321e7f8",
-    "numina:3f9fa8ab-3a80-50da-9bf8-46e7c2e529fb",
-    "numina:449f619e-51eb-5d01-9e1d-1fb072b2c311",
-    "numina:c23d0e91-0456-5c4e-875d-6a614cb260d7"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001480.lean\",\"99debe9b52d54175a6034afa0e5c1fd3d99436aaecef1f77a8c10479dbf6899b\",0,\"algebra_149681\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001481.lean\",\"6bb700e8be9595b8dd78b709091ee809ff5b15681575b25c573584491472e7f2\",0,\"number_theory_149724\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001483.lean\",\"a580a9927ec76763b8341bc01697a9c845f97e4a79f7ac5373dd4c1c89fea153\",0,\"number_theory_149913\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001484.lean\",\"ecaa7ca0cb6e9bf78377499cb0cc10f2ef202b4c7807238a8cf00ced0f9ae59c\",0,\"algebra_150149\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000297.json b/manifests/batches/numina/000297.json
index ca71ee41f976db51e039ad828948f434e6129fe5..0099c6e9fa6cb7b8e5730784ad763f3f456c1ee1 100644
--- a/manifests/batches/numina/000297.json
+++ b/manifests/batches/numina/000297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000297",
   "batch_fingerprint": "0c9af79396064af29eb926b1b25be1168d3097ede53a3cbda22b76a56846ecfe",
   "evidence": {
@@ -35,15 +34,7 @@
     "transitions": 26,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000297-0000-ea59bf54ca1d7c19.parquet",
-      "sha256": "ea59bf54ca1d7c1961d9a4c92f0ea19016a0bc06611d5d1d4722974974fd1e33",
-      "bytes": 592565,
-      "rows": 26,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a85f9c6-b902-5ba1-8980-d2f96b85621e",
     "numina:bdb4fa69-e2d8-5223-8346-420785b3c006",
@@ -55,5 +46,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001487.lean\",\"54aafa5bb3b138cf466e29d2f8e1390a15c739c21e742eae4f3d30474f19e504\",6,\"algebra_150646_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001488.lean\",\"4996173e892a5e9a3d2d1bdd82feef0f84bb435460771998af868ca4ade8a484\",2,\"number_theory_150655\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001489.lean\",\"2a53e06da87d3a9766618d3d8598b94a430e34139f56552b65f74081d5f51936\",2,\"number_theory_151154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592565,
+      "path": "data/train/p40/numina-000297-0000-ea59bf54ca1d7c19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ea59bf54ca1d7c1961d9a4c92f0ea19016a0bc06611d5d1d4722974974fd1e33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000298.json b/manifests/batches/numina/000298.json
index 513d55e9bcea2d251a2b0f797d35ce04fca32d5b..329ddbac6fa15c380f919f1a7be91cafb84bd15a 100644
--- a/manifests/batches/numina/000298.json
+++ b/manifests/batches/numina/000298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000298",
   "batch_fingerprint": "d93316dbf1aad5d9f27630740cfcc881182308674785d8db3f04b2978312c860",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 67,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000298-0000-05d0be0c9bf5e596.parquet",
-      "sha256": "05d0be0c9bf5e5969df8a9ea3c0ec1c6208aed3b98fffaa922fe408edc5deb17",
-      "bytes": 355060,
-      "rows": 59,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/internal_test/numina-000298-0000-a00b3fd01cdd6777.parquet",
-      "sha256": "a00b3fd01cdd6777297d22a0b68bb3e4886396e0d35e7ba60035c285a578cfeb",
-      "bytes": 66308,
-      "rows": 8,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6db1af14-dfb5-5e5b-8556-b5a7a4913e4c",
     "numina:6f41b0b2-0d88-5598-a31c-332145603428",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001492.lean\",\"ae369d34ab81a6d4c1c4c5c8008f986a11c04ddb19ed21f0f8fe2b5c3795f709\",0,\"number_theory_151527\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001493.lean\",\"ad936d7d21e7c2adbc707dd4befa86b095cd564aef41e1fb3778de8fb90ab63e\",1,\"algebra_152076\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001494.lean\",\"f37bb273ccc1e04f1ecf5e5107299c7de4baea684f4793dd7e736791fb43017f\",0,\"calculus_152795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355060,
+      "path": "data/train/p9e/numina-000298-0000-05d0be0c9bf5e596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "05d0be0c9bf5e5969df8a9ea3c0ec1c6208aed3b98fffaa922fe408edc5deb17"
+    },
+    {
+      "bytes": 66308,
+      "path": "data/internal_test/p9e/numina-000298-0000-a00b3fd01cdd6777.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a00b3fd01cdd6777297d22a0b68bb3e4886396e0d35e7ba60035c285a578cfeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000299.json b/manifests/batches/numina/000299.json
index 5a63c50fc44ab430ec776358f359929e1da05d03..ab2ba2a5e44c3e52f1eae956adac5e50387dc3a9 100644
--- a/manifests/batches/numina/000299.json
+++ b/manifests/batches/numina/000299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000299",
   "batch_fingerprint": "bb82c07d998ac0fb449f2e9a00dfdf996d3988507c5db0a5273fb1735edc8f46",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 54,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000299-0000-7f99fc99df6e0ea0.parquet",
-      "sha256": "7f99fc99df6e0ea0776647c815436b0033366e8e5ddf2c611840b7f51989a74b",
-      "bytes": 593314,
-      "rows": 54,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6b0d3455-a8d5-5ade-abe4-16717a5a3b0e",
     "numina:6b33a8f0-607d-5821-8c64-14d51435bbaf",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001497.lean\",\"8205a2ba7ba70eed8e0d700412c6c7d272f69d9c2b40beb326f0d833b63bcdfe\",1,\"algebra_152974\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001498.lean\",\"f1120962e1d1aa74671416678577a8543906ff679ba0fc7af646516d3f247627\",0,\"inequalities_153029\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001499.lean\",\"69d962bb29fbc67d5c78f070eb893bd5caac2f5ff1002f4665828e41894ce3b4\",0,\"algebra_153485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 593314,
+      "path": "data/train/p4e/numina-000299-0000-7f99fc99df6e0ea0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "7f99fc99df6e0ea0776647c815436b0033366e8e5ddf2c611840b7f51989a74b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000300.json b/manifests/batches/numina/000300.json
index 88077a3449d1523b3dc8707e427e44337dd7e5dc..bfaba5b02ef25fbbe5983931febabccf7bae8d11 100644
--- a/manifests/batches/numina/000300.json
+++ b/manifests/batches/numina/000300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000300",
   "batch_fingerprint": "e71e5405ef3913d3d393337d99b9782445560db1fba1401450d7e0f4fd37e6cf",
   "evidence": {
@@ -61,22 +60,7 @@
       }
     ]
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000300-0000-cb6c9adabd0127ca.parquet",
-      "sha256": "cb6c9adabd0127ca01f4d6cbb8394ae36cbde788bfe6234cae4a99f5ab739219",
-      "bytes": 262251,
-      "rows": 28,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/dev/numina-000300-0000-9927b3b2d93c1e20.parquet",
-      "sha256": "9927b3b2d93c1e2019023cec4f626c4099a29dde428f6e1bd004483525b0e8d7",
-      "bytes": 150945,
-      "rows": 22,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27bd8ac4-d867-56f2-ba38-7765e9f66a41",
     "numina:408589fb-99a7-5743-9549-5e4be4256086",
@@ -86,5 +70,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001501.lean\",\"5e70d95887c7773218016d37b05b5335aa4160d4790937be10e9734c9ed2341c\",0,\"algebra_153570\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001502.lean\",\"519b950aa51f4ef859f8b411edae06bf4e90c99ce76941eb88fcf10c6c6d32ee\",2,\"number_theory_153606\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001504.lean\",\"220a2bc54119ac36453da8425548c6e98d1039ae85f338532b9cbd9befded4e0\",0,\"algebra_153676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262251,
+      "path": "data/train/pf7/numina-000300-0000-cb6c9adabd0127ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "cb6c9adabd0127ca01f4d6cbb8394ae36cbde788bfe6234cae4a99f5ab739219"
+    },
+    {
+      "bytes": 150945,
+      "path": "data/dev/pf7/numina-000300-0000-9927b3b2d93c1e20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9927b3b2d93c1e2019023cec4f626c4099a29dde428f6e1bd004483525b0e8d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000301.json b/manifests/batches/numina/000301.json
index c709cb5524218ded6df1c56dd5643879d77ac04e..75a6d13fc991622a7d829c24787646079e61664a 100644
--- a/manifests/batches/numina/000301.json
+++ b/manifests/batches/numina/000301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000301",
   "batch_fingerprint": "4df8ab3a225ed28d260be82d719bc5ae4d10afa3ddc24d4323ab0ab28535fef0",
   "evidence": {
@@ -14,22 +13,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000301-0000-1acdeca560955081.parquet",
-      "sha256": "1acdeca5609550811d8a5a5a1255eebfefc9843cecd544454f7d294f7250f2f0",
-      "bytes": 150809,
-      "rows": 19,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/dev/numina-000301-0000-2d392b263534fb63.parquet",
-      "sha256": "2d392b263534fb63bfe5d5677b8c1b151fb46106d78ae6674ee1cac4eab750bf",
-      "bytes": 54362,
-      "rows": 10,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6eb8ff12-d4ae-5684-9c97-51c784faa25a",
     "numina:b3aa41e5-3e32-5c36-834f-ad383df86ac9",
@@ -43,5 +27,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001507.lean\",\"1282a0d18c66f2b1dacec295ec07861f7012a51dc7d75a713031b93e5f5bb0da\",0,\"algebra_154295\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001508.lean\",\"993941769dc5812229b9768370354f86ec7c2a298fcfcb94af9a4460d2857d13\",0,\"number_theory_154411\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001509.lean\",\"3c039974db4f543b07b3b3791dea8fd45858f52d0d9aeac6f9b19a91250824b4\",0,\"number_theory_154758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150809,
+      "path": "data/train/p11/numina-000301-0000-1acdeca560955081.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1acdeca5609550811d8a5a5a1255eebfefc9843cecd544454f7d294f7250f2f0"
+    },
+    {
+      "bytes": 54362,
+      "path": "data/dev/p11/numina-000301-0000-2d392b263534fb63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2d392b263534fb63bfe5d5677b8c1b151fb46106d78ae6674ee1cac4eab750bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000302.json b/manifests/batches/numina/000302.json
index 34a6c8f81ef24f6fd3f661a6383c2a2fe521bb6e..a5418e6ffa32c1e7f0569a865e3e240c5b0d3977 100644
--- a/manifests/batches/numina/000302.json
+++ b/manifests/batches/numina/000302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000302",
   "batch_fingerprint": "0b6bb8f05f7955e337914e57816f085a8a374f8fa0532600118c66c9bce203fd",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 29,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000302-0000-5b98f71c96498856.parquet",
-      "sha256": "5b98f71c964988561e20b003ddd43fb0f5cc37cb322647a6664982f779b7dec5",
-      "bytes": 340038,
-      "rows": 25,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    },
-    {
-      "path": "data/internal_test/numina-000302-0000-0c89ee0c74b610a0.parquet",
-      "sha256": "0c89ee0c74b610a04ec5040fb3f10c92313676514d995afd4e38250ebc668412",
-      "bytes": 167009,
-      "rows": 4,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:652b7b18-5cf7-5b10-a197-4ad733ca811b",
     "numina:a1854b40-6cac-5591-adca-e7b55b2a4491",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001512.lean\",\"2a91a48cbd41e3d52d5e2283a132c468cc27194c99dd1f5d9bb67efa62c37acd\",0,\"number_theory_609999\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001513.lean\",\"fe10c122035f519b1f302d56b0498f7dbba2226dc9073dbc62105d9807898207\",0,\"algebra_156316\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001514.lean\",\"3a31629b854b3a0a79e87dd47adae1b4de091d73e4add6c1436fe087a41b2571\",0,\"algebra_156398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340038,
+      "path": "data/train/p83/numina-000302-0000-5b98f71c96498856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5b98f71c964988561e20b003ddd43fb0f5cc37cb322647a6664982f779b7dec5"
+    },
+    {
+      "bytes": 167009,
+      "path": "data/internal_test/p83/numina-000302-0000-0c89ee0c74b610a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0c89ee0c74b610a04ec5040fb3f10c92313676514d995afd4e38250ebc668412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000303.json b/manifests/batches/numina/000303.json
index ba35babf14cbdac1283b11ed99e8822df3390223..96037b200ff45163c92eaf3d9f893f1926aefb6d 100644
--- a/manifests/batches/numina/000303.json
+++ b/manifests/batches/numina/000303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000303",
   "batch_fingerprint": "5eb163660f8190aa1332e9f1419feddb87ca83e7670c58b3462f51b54ff97704",
   "evidence": {
@@ -15,15 +14,7 @@
     "transitions": 38,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000303-0000-1c5617f966aea183.parquet",
-      "sha256": "1c5617f966aea1836367e4a53bf5bc9422b5a8c308030e629405e2d314e9646b",
-      "bytes": 394291,
-      "rows": 38,
-      "revision": "ac7f3ef727d70fc3212a38f42bfb4ead4a78eff9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51097f41-09a0-52eb-a974-63b5ad91d1f1",
     "numina:72597e08-0e81-5d57-bbfe-1b08c1d7c247",
@@ -37,5 +28,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001517.lean\",\"245d199d98ce8187b9156877174bb5027554e909471c403f6c36c4683bb5d976\",3,\"inequalities_156758\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001518.lean\",\"bbeecf13aa715080a12d0c85e851bb5a05bd41e041122edd664ba112fdcfaef4\",0,\"algebra_156849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001519.lean\",\"0c80b1348c04b7d15254940ee03989ea7aa1c085af94d00d600bec960327dbc2\",3,\"algebra_157369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394291,
+      "path": "data/train/p22/numina-000303-0000-1c5617f966aea183.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "1c5617f966aea1836367e4a53bf5bc9422b5a8c308030e629405e2d314e9646b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000304.json b/manifests/batches/numina/000304.json
index 9e0b50742e074816092d5f172be2ed452622e733..d683ebddf317a5d62ed49853bd68ea54d20003e3 100644
--- a/manifests/batches/numina/000304.json
+++ b/manifests/batches/numina/000304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000304",
   "batch_fingerprint": "48360da52a9109a67f809e8bd68c5518093c4e6516de3ffa318892505534af30",
   "evidence": {
@@ -15,22 +14,7 @@
     "transitions": 61,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000304-0000-1c58c96469b46922.parquet",
-      "sha256": "1c58c96469b46922d4011596ff81cf2a32fbc35abca87d7a3dc808285f9c1978",
-      "bytes": 599243,
-      "rows": 57,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    },
-    {
-      "path": "data/train/numina-000304-0001-434c546dbfba05cb.parquet",
-      "sha256": "434c546dbfba05cbbc547af60ff106d59dd0d99da44fa5f8d58b90bf77e18d20",
-      "bytes": 478900,
-      "rows": 4,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7464808e-5273-5a88-9295-6622ef23bfe3",
     "numina:94ed3d7c-d406-503e-9272-b6999289132a",
@@ -44,5 +28,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001522.lean\",\"0f6f8ce31bb1828e0ccb47f82877fcb3f7189c9e3316b3abe0bbe4bb7fece983\",0,\"inequalities_157684\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001523.lean\",\"7a148235dbd15ae6c68b4f33990d5ba2168305e65e1028d2950e2771224751c2\",1,\"number_theory_600999\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001524.lean\",\"caec04cc59567d970c38fbdf2b65221ca09a437b0ad99a3efd4adc3407e13307\",0,\"algebra_157782\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 599243,
+      "path": "data/train/p90/numina-000304-0000-1c58c96469b46922.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "1c58c96469b46922d4011596ff81cf2a32fbc35abca87d7a3dc808285f9c1978"
+    },
+    {
+      "bytes": 478900,
+      "path": "data/train/p90/numina-000304-0001-434c546dbfba05cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "434c546dbfba05cbbc547af60ff106d59dd0d99da44fa5f8d58b90bf77e18d20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000305.json b/manifests/batches/numina/000305.json
index 4c5ff1e86bf164e298a458d0caf58d56965d9038..cfc363c6c1673558215876899a1beef0cca1977a 100644
--- a/manifests/batches/numina/000305.json
+++ b/manifests/batches/numina/000305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000305",
   "batch_fingerprint": "5bf109cc850407be0292376476719e2ad1f777c3a644f64151349c07da98a5dc",
   "evidence": {
@@ -34,15 +33,7 @@
     "transitions": 28,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000305-0000-accdfdcfd7953af9.parquet",
-      "sha256": "accdfdcfd7953af971ef4633d8a7e56824f40f57219b4f7ed3c8907932a714b2",
-      "bytes": 323968,
-      "rows": 28,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6722535c-ee33-5183-a769-9760dadf9e49",
     "numina:92b4104f-9bfc-5f86-bcca-85a5f2526b2c",
@@ -54,5 +45,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001526.lean\",\"4de91e8c1826e4e0d24b26f4e19b11a789bcfc3f8a6ce434f4a589ad0e4a41a0\",1,\"number_theory_158421\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001528.lean\",\"55782daae0289b8c88b7ac247900f5aa32368f5ff2b0c8249afc6b7066dd0f34\",0,\"calculus_158497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001529.lean\",\"0cabfa7fbdb5d875a304d54a6f8bac66af8f046eb9408344bcad40aa54fb3a68\",0,\"number_theory_158617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323968,
+      "path": "data/train/pf9/numina-000305-0000-accdfdcfd7953af9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "accdfdcfd7953af971ef4633d8a7e56824f40f57219b4f7ed3c8907932a714b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000306.json b/manifests/batches/numina/000306.json
index 831d101a1c7b79ab63b480974039c305370b1488..20f815039c18778635c5509a207a75d0a58cbdb8 100644
--- a/manifests/batches/numina/000306.json
+++ b/manifests/batches/numina/000306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000306",
   "batch_fingerprint": "e7a9874d2aa72a78454c80dc7b28cd36887de07d42a86ff18a4065a923f3cf21",
   "evidence": {
@@ -14,29 +13,7 @@
     "transitions": 62,
     "validation_failures": []
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000306-0000-1f0f63d857a10886.parquet",
-      "sha256": "1f0f63d857a10886ae80056981807d6310bb2a7478320c3efd002db8d1c018fa",
-      "bytes": 610054,
-      "rows": 37,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    },
-    {
-      "path": "data/train/numina-000306-0001-e34dce286baf2251.parquet",
-      "sha256": "e34dce286baf2251c5dd75192b6617a6c469eb73988b3cfe5754e42381f9f3dd",
-      "bytes": 265679,
-      "rows": 18,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    },
-    {
-      "path": "data/internal_test/numina-000306-0000-f1a772ccd6d9d961.parquet",
-      "sha256": "f1a772ccd6d9d9613070a8b9f031b5c8e6c61330747f33b91bef36e0aade28e2",
-      "bytes": 86062,
-      "rows": 7,
-      "revision": "59fae5ae77a5eaa2c692cfae2ec5bcce1373a83a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38a9e88e-a85f-5ef0-ae52-4dceb1b137fd",
     "numina:44881712-66e3-527f-80d5-47e1ad85d936",
@@ -50,5 +27,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001532.lean\",\"72a96c8bb652ba1a2b7bc55e5e59652b2637990c0cb1a07ff073c7139a14800f\",0,\"algebra_159092\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001533.lean\",\"87ec17532e46a992cc7b2d7e8cdff90249c4eeb4fa8ded5f81f557f8a7882266\",0,\"algebra_159261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001534.lean\",\"bee05738c4452cb50fe420e43003c87d8ea836c281f7945ecaa40c0cfa767dcd\",0,\"algebra_159347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 610054,
+      "path": "data/train/p5e/numina-000306-0000-1f0f63d857a10886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "1f0f63d857a10886ae80056981807d6310bb2a7478320c3efd002db8d1c018fa"
+    },
+    {
+      "bytes": 265679,
+      "path": "data/train/p5e/numina-000306-0001-e34dce286baf2251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e34dce286baf2251c5dd75192b6617a6c469eb73988b3cfe5754e42381f9f3dd"
+    },
+    {
+      "bytes": 86062,
+      "path": "data/internal_test/p5e/numina-000306-0000-f1a772ccd6d9d961.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f1a772ccd6d9d9613070a8b9f031b5c8e6c61330747f33b91bef36e0aade28e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000307.json b/manifests/batches/numina/000307.json
index 8c050e4de9f98d8a865e8d3b4f4415898cbadabb..f1918578f781ac92ff6e0b9596b6bcdfa0c6661d 100644
--- a/manifests/batches/numina/000307.json
+++ b/manifests/batches/numina/000307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000307",
   "batch_fingerprint": "6146030211c72f891b8e61772950edd8fa03b9d1a66452810043595d3f7c22aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000307-0000-e485741bb6b80309.parquet",
-      "sha256": "e485741bb6b803097611260648c6bd143c4223026d23374cb763d51940f083eb",
-      "bytes": 437804,
-      "rows": 12,
-      "revision": "ee89c3a6a5825f98ce0268d5db82c18b71b7c85a"
-    },
-    {
-      "path": "data/internal_test/numina-000307-0000-701c8a4d4cdb83f2.parquet",
-      "sha256": "701c8a4d4cdb83f20bd17fa64e8cae318ee98b7505d3a51686f3ad6f3ae1351b",
-      "bytes": 192053,
-      "rows": 14,
-      "revision": "ee89c3a6a5825f98ce0268d5db82c18b71b7c85a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47875820-c4db-5fe7-918a-95bbd4d9a783",
     "numina:50eafa52-c906-5624-8bb9-58c1b0fae431",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001537.lean\",\"b648bebe5911b71fadc9b44181cf412a77782db4ee0d5efb39c8c71a61162311\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001538.lean\",\"f591be0457b3612d71794ddcd1fb556b5be4ebf1bbbf607ce494666ffdd19a29\",0,\"number_theory_160090\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001539.lean\",\"170d9e25be3b2bbd129669991dec2cd77975829f29a85bed28ca68b207cd77c4\",1,\"number_theory_160897\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 437804,
+      "path": "data/train/p9f/numina-000307-0000-e485741bb6b80309.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e485741bb6b803097611260648c6bd143c4223026d23374cb763d51940f083eb"
+    },
+    {
+      "bytes": 192053,
+      "path": "data/internal_test/p9f/numina-000307-0000-701c8a4d4cdb83f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "701c8a4d4cdb83f20bd17fa64e8cae318ee98b7505d3a51686f3ad6f3ae1351b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000308.json b/manifests/batches/numina/000308.json
index 1736c9ab457cad30f46836444f495da90d1d0853..993dd84441810174410192d57d79854ae2456f37 100644
--- a/manifests/batches/numina/000308.json
+++ b/manifests/batches/numina/000308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000308",
   "batch_fingerprint": "f6d1b66e794e40ecfdfee13ae34ab98699b78cbda04f1e27787d1dd09b4f1a1e",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000308-0000-e5816b6cd68d6f0e.parquet",
-      "sha256": "e5816b6cd68d6f0e899931c24382a25355aa4bb095eea5860f8ac9e2f67662ec",
-      "bytes": 313490,
-      "rows": 35,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32691ae8-1849-5363-9f50-a07c80412f69",
     "numina:6b4dad7f-c76c-5fbe-8c12-3e54a5922850",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001541.lean\",\"f6c0630823cb13888f4f64ad882d3990e12cae176d95cb831fd77e2d16235522\",0,\"algebra_161117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001542.lean\",\"3cd811c501911356bfa208a82b0549d1c26f5805dd48fbf74633dc35ca517f41\",4,\"number_theory_161501\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001544.lean\",\"8e316b4c75f6e531df630faa0c22d17b3a95218721d612e7e9e600a9c6f7b2cb\",9,\"number_theory_161938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313490,
+      "path": "data/train/pa3/numina-000308-0000-e5816b6cd68d6f0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "e5816b6cd68d6f0e899931c24382a25355aa4bb095eea5860f8ac9e2f67662ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000309.json b/manifests/batches/numina/000309.json
index 206dc4353f921f53a87df64f04dffa91ba7bb877..dd78379208b90489e04f55907238aa936de218ed 100644
--- a/manifests/batches/numina/000309.json
+++ b/manifests/batches/numina/000309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000309",
   "batch_fingerprint": "7116e192a68812206429158a8c35eb5825b24b9a276015cc0a48eed9da827805",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000309-0000-7e923ba233abe028.parquet",
-      "sha256": "7e923ba233abe028cff1dacc495e00966762f88aa53aa287ae203bc906e96120",
-      "bytes": 379638,
-      "rows": 27,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/train/numina-000309-0001-562e67036685678e.parquet",
-      "sha256": "562e67036685678e9482b418f11b0ef8e1aaef2fa52fdbc89ee2b8fe7234be03",
-      "bytes": 466565,
-      "rows": 2,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:050dbc11-65c3-50d2-aa10-59d941f62f15",
     "numina:776b7ae3-1186-565e-a647-0b6de52b4278",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001547.lean\",\"f982713aad1d95dfc47ef9e1082642a8aa1b97e7816d46d2bbfb2154efe5dba2\",0,\"algebra_162953\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001548.lean\",\"3cc6c9dd36e8e977dd657cd4daf488227953b518539c64df9ec150ebc4fd4a27\",1,\"inequalities_162998\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001549.lean\",\"9155696ca6df35079641e1406d7975fc3d789c1bf9c985745ec68e83668a6da1\",0,\"number_theory_163312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379638,
+      "path": "data/train/p51/numina-000309-0000-7e923ba233abe028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "7e923ba233abe028cff1dacc495e00966762f88aa53aa287ae203bc906e96120"
+    },
+    {
+      "bytes": 466565,
+      "path": "data/train/p51/numina-000309-0001-562e67036685678e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "562e67036685678e9482b418f11b0ef8e1aaef2fa52fdbc89ee2b8fe7234be03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000310.json b/manifests/batches/numina/000310.json
index 15f9187872e777855e1d15854646d48e16a8134b..53c99d408552fa7b2ade3cadbfd9a0ccde7b0e8b 100644
--- a/manifests/batches/numina/000310.json
+++ b/manifests/batches/numina/000310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000310",
   "batch_fingerprint": "c1e0a235542ce8a758b9dedda160f321a9da6fe8f703e0d840692f3f2494402a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000310-0000-7352bb03b76ccd8d.parquet",
-      "sha256": "7352bb03b76ccd8d3f9e261efadea6c3b4efd10d9417adf63521759f9b4d2d1e",
-      "bytes": 95060,
-      "rows": 20,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/dev/numina-000310-0000-e6e096c8b9a26dc9.parquet",
-      "sha256": "e6e096c8b9a26dc97b09f3444f2b0b88279f97659753293703cef0f68c318252",
-      "bytes": 137858,
-      "rows": 11,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1128468f-1b90-5622-9450-560239f9fa3d",
     "numina:788e7aea-ac08-5c67-81b0-134f3df60d8a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001552.lean\",\"aac3990ffebbbe35ef192427e8a7f5e2f8fde2cc4849ecac0b5db99de58d1189\",0,\"algebra_164641\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001553.lean\",\"aeb6ced506cdacff927f3951cc3952177c8fd5b80b291e6d418d9ccd435330de\",0,\"algebra_165347\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001554.lean\",\"9cd1d79b3c8acced7f0d19c8577ce42635ac13da52fffb57b3c51c8ada78edf9\",0,\"algebra_165479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95060,
+      "path": "data/train/pb0/numina-000310-0000-7352bb03b76ccd8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7352bb03b76ccd8d3f9e261efadea6c3b4efd10d9417adf63521759f9b4d2d1e"
+    },
+    {
+      "bytes": 137858,
+      "path": "data/dev/pb0/numina-000310-0000-e6e096c8b9a26dc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e6e096c8b9a26dc97b09f3444f2b0b88279f97659753293703cef0f68c318252"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000311.json b/manifests/batches/numina/000311.json
index 4cfd8b66f331f80a8a43b6bc27cee5a42904c4a0..6b81f4aaf359c0dbb6fe984dce91d46a90b8ada2 100644
--- a/manifests/batches/numina/000311.json
+++ b/manifests/batches/numina/000311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000311",
   "batch_fingerprint": "c34d3c16f13678c32cd69ae4c4359f50e8a8ea1447dc8aba4686a3f01a770757",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:17cb24ed-45e6-5d04-8b9c-9179abe1a87c",
+    "numina:1dc5e7fb-4de4-5aa8-84c7-c075ded71f7b",
+    "numina:2035ad2c-c28d-56b0-ace7-9b663a12c28b",
+    "numina:5b729b12-6a22-5050-874a-348a6e314817",
+    "numina:b8400cad-7456-5d08-be56-ae0ae3767b73"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001555.lean\",\"b8ca508c50d2380f2026d126b9fca7d9e3bdc8e4f8de455c6b7ff3d3d4850bf7\",0,\"number_theory_165566\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001556.lean\",\"80bbea570e34b07c2dc3b2c5e8a81bdd679a97c74ad7298edfb3cd94bb7bee7d\",0,\"inequalities_165649\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001557.lean\",\"46ed0bd359640cdb371fdc9bca5d619df99de18d26c53b7e8aabf2521c30e252\",0,\"algebra_166098\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001558.lean\",\"c29249eb8c2baa1f22c65772899cd3c236627b3b3fe68b2e04d114f39a7bc88e\",0,\"inequalities_166495\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001559.lean\",\"2e05c1ee52b58769251d760134236443683b11af114656a71fa78d1fc282fc5c\",0,\"algebra_166659\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000311-0000-824e4cb3c683538c.parquet",
-      "sha256": "824e4cb3c683538c15dd5f499f6893d874c253cf871fcc05a942f0bcfd8836e8",
       "bytes": 313278,
+      "path": "data/train/pec/numina-000311-0000-824e4cb3c683538c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
+      "sha256": "824e4cb3c683538c15dd5f499f6893d874c253cf871fcc05a942f0bcfd8836e8"
     },
     {
-      "path": "data/train/numina-000311-0001-0c4211c4fb196cb5.parquet",
-      "sha256": "0c4211c4fb196cb50c500a60f3b3ffd80a0db515aca371b7c30995ab5c83e3d2",
       "bytes": 1245772,
+      "path": "data/train/pec/numina-000311-0001-0c4211c4fb196cb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
+      "sha256": "0c4211c4fb196cb50c500a60f3b3ffd80a0db515aca371b7c30995ab5c83e3d2"
     },
     {
-      "path": "data/train/numina-000311-0002-5153093c7cd79fa4.parquet",
-      "sha256": "5153093c7cd79fa40bd5686744d5df99b5c0e279c49414e8e0c4125aa9f90f14",
       "bytes": 442692,
+      "path": "data/train/pec/numina-000311-0002-5153093c7cd79fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
+      "sha256": "5153093c7cd79fa40bd5686744d5df99b5c0e279c49414e8e0c4125aa9f90f14"
     },
     {
-      "path": "data/train/numina-000311-0003-484184a5e8e353e8.parquet",
-      "sha256": "484184a5e8e353e80da2fccf897e91686b923c40acb56a2e0f440b3bc032248c",
       "bytes": 495027,
+      "path": "data/train/pec/numina-000311-0003-484184a5e8e353e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "4cc125f46423d1c96e6a0e440625197bcf2333b8"
+      "sha256": "484184a5e8e353e80da2fccf897e91686b923c40acb56a2e0f440b3bc032248c"
     }
-  ],
-  "proof_ids": [
-    "numina:17cb24ed-45e6-5d04-8b9c-9179abe1a87c",
-    "numina:1dc5e7fb-4de4-5aa8-84c7-c075ded71f7b",
-    "numina:2035ad2c-c28d-56b0-ace7-9b663a12c28b",
-    "numina:5b729b12-6a22-5050-874a-348a6e314817",
-    "numina:b8400cad-7456-5d08-be56-ae0ae3767b73"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001555.lean\",\"b8ca508c50d2380f2026d126b9fca7d9e3bdc8e4f8de455c6b7ff3d3d4850bf7\",0,\"number_theory_165566\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001556.lean\",\"80bbea570e34b07c2dc3b2c5e8a81bdd679a97c74ad7298edfb3cd94bb7bee7d\",0,\"inequalities_165649\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001557.lean\",\"46ed0bd359640cdb371fdc9bca5d619df99de18d26c53b7e8aabf2521c30e252\",0,\"algebra_166098\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001558.lean\",\"c29249eb8c2baa1f22c65772899cd3c236627b3b3fe68b2e04d114f39a7bc88e\",0,\"inequalities_166495\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001559.lean\",\"2e05c1ee52b58769251d760134236443683b11af114656a71fa78d1fc282fc5c\",0,\"algebra_166659\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000312.json b/manifests/batches/numina/000312.json
index 0e110e995b53842e7a9c75a5c3f563641c5a4184..e7e02095815b1018cd1f86f77f7660289bcee86f 100644
--- a/manifests/batches/numina/000312.json
+++ b/manifests/batches/numina/000312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000312",
   "batch_fingerprint": "0f8606d6484fab32d36f6e3ad31739f02612f48ae39493fad64e163da1f713a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000312-0000-1bf422f761d88a05.parquet",
-      "sha256": "1bf422f761d88a05af828803a30cb6e0f1fa9b01abca690f84422b7a46a84f7f",
-      "bytes": 746828,
-      "rows": 52,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:66e848ba-7976-5310-a8ff-a85a995dbb66",
     "numina:70f62e7c-11e1-532f-9e51-a1c4c73c8054",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001562.lean\",\"6d64ac769a3f7a585a03939264b605ce6ad8b92abcc2b3f78e0fc045efc024e6\",0,\"algebra_167498\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001563.lean\",\"bc3bdbac0bbd27c64444f9eea0f74cf877b57caff0bcd23a2f0cbf64df1d5072\",0,\"algebra_167544\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001564.lean\",\"8587f3f22b2f60bf702fbe30ed8bd4f7a618519778b652cf1318cc780cc63259\",0,\"distinct_squares_and_cubes_mod_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 746828,
+      "path": "data/train/pc3/numina-000312-0000-1bf422f761d88a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "1bf422f761d88a05af828803a30cb6e0f1fa9b01abca690f84422b7a46a84f7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000313.json b/manifests/batches/numina/000313.json
index 988b9fd16b9628abdf7af8cd2180316c3cdf460f..96ec9d26357715602f142ec4a89e2f8328268927 100644
--- a/manifests/batches/numina/000313.json
+++ b/manifests/batches/numina/000313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000313",
   "batch_fingerprint": "7c675311071be282e833372dcb706d07d6e0ffcf8703899fa3259b381622260a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000313-0000-29ff976b7773dcdf.parquet",
-      "sha256": "29ff976b7773dcdf8138f2e7e8c3de8c5cec2320ee563e138e958f3097c45175",
-      "bytes": 110417,
-      "rows": 18,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    },
-    {
-      "path": "data/internal_test/numina-000313-0000-7f6d393b6c5b6fdb.parquet",
-      "sha256": "7f6d393b6c5b6fdb7e6458b497196752600e705bacb16d98d962f22899bb182b",
-      "bytes": 237591,
-      "rows": 28,
-      "revision": "512815666a8e065602d4db1445775ba25fa1d511"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e417d79-4253-5224-849e-3658530deb9f",
     "numina:74a3710f-8b3d-5615-91f8-b64569c59958",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001567.lean\",\"11c12499bcb560e5142f0825f95b33a6f87d4edb48b4bbdbc648b1d1f0018211\",0,\"calculus_168957\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001568.lean\",\"77779a383e127c4e387cb6dcda55cb4aac5cafe3ff4af72858120c4d25d60f6b\",2,\"inequalities_169123\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001569.lean\",\"54cf27cfbb8284d214f0b4bef44d199fe3c6dc35015192f8cfb275e20602a055\",4,\"algebra_169126\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110417,
+      "path": "data/train/p56/numina-000313-0000-29ff976b7773dcdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "29ff976b7773dcdf8138f2e7e8c3de8c5cec2320ee563e138e958f3097c45175"
+    },
+    {
+      "bytes": 237591,
+      "path": "data/internal_test/p56/numina-000313-0000-7f6d393b6c5b6fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "7f6d393b6c5b6fdb7e6458b497196752600e705bacb16d98d962f22899bb182b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000314.json b/manifests/batches/numina/000314.json
index 8e997ca09d4af620b196d6d0ac6b0e58416166e8..808771a4452dbfd2a4060429c75dd35ed902773c 100644
--- a/manifests/batches/numina/000314.json
+++ b/manifests/batches/numina/000314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000314",
   "batch_fingerprint": "bb13f4972b05c2637bd06166e9c437f7c9447e5eab6e530898d335e6bb49ea2d",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000314-0000-a45c6ed772a62124.parquet",
-      "sha256": "a45c6ed772a6212438c35d94a623ce4a964a6057893ba3e48afc295c08d1fb72",
-      "bytes": 577889,
-      "rows": 51,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/dev/numina-000314-0000-601875d79bb3847a.parquet",
-      "sha256": "601875d79bb3847a97aca9a211fbd236890a27b3bb43335a4a4d8dbdf6f8f14b",
-      "bytes": 89984,
-      "rows": 15,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/internal_test/numina-000314-0000-895c8715b288ce6d.parquet",
-      "sha256": "895c8715b288ce6de86bd731aa324a0dc9aad8332ce9aac7584b4670de59ffbb",
-      "bytes": 251472,
-      "rows": 19,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f42cb4c-ff17-5d81-9ff4-f8681fe125bc",
     "numina:583440eb-de07-5e3c-a928-9c00d9dbfe04",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001572.lean\",\"b072d4b7b21b4966d5767cd9187e94e3a599105a16dc78fc3ab672f001b75e48\",0,\"number_theory_169624\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001573.lean\",\"deb69585e3d7a7174d244c7906fe65954d145d9624db21adcf353c03481d16fa\",0,\"algebra_169978\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001574.lean\",\"45119f4080ff3b08bb5dc2504b0ca92a60593bc56fe7af9b82bd7b3b12db148e\",6,\"algebra_170002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577889,
+      "path": "data/train/pfd/numina-000314-0000-a45c6ed772a62124.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "a45c6ed772a6212438c35d94a623ce4a964a6057893ba3e48afc295c08d1fb72"
+    },
+    {
+      "bytes": 89984,
+      "path": "data/dev/pfd/numina-000314-0000-601875d79bb3847a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "601875d79bb3847a97aca9a211fbd236890a27b3bb43335a4a4d8dbdf6f8f14b"
+    },
+    {
+      "bytes": 251472,
+      "path": "data/internal_test/pfd/numina-000314-0000-895c8715b288ce6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "895c8715b288ce6de86bd731aa324a0dc9aad8332ce9aac7584b4670de59ffbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000315.json b/manifests/batches/numina/000315.json
index 17c8afa0abff4d153e1ae110d55e940cade0c88e..283d0de543c1d1c994097a3fb0d9e7cdbe2e9c2a 100644
--- a/manifests/batches/numina/000315.json
+++ b/manifests/batches/numina/000315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000315",
   "batch_fingerprint": "8f639ba022b836c8bb6601473d2a4dd054251606b30813182f5f97983b4185ae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000315-0000-b81a47aeff194bb7.parquet",
-      "sha256": "b81a47aeff194bb7aa743b0a100171f5ef55b9ac69d25d44a22ec4d36bdf8569",
-      "bytes": 536826,
-      "rows": 61,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:100713e1-5f38-50ca-bd6a-bd9e4fae105a",
     "numina:18585a8b-0319-5c1a-99cc-22bb45b78d48",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001577.lean\",\"fe1714cdbc4d854fe0b669c060acbee04b530aeb41a8690e0ddb4bdf427307c6\",3,\"algebra_170698\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001578.lean\",\"bbdbda464814234c1e7995ef3167d3cff91a9165354393055efed26950fb4cbe\",1,\"number_theory_170796\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001579.lean\",\"88adb3ac85e3d04ce3597918407c019cd9840d8e161ea49ff91046d184408804\",0,\"inequalities_171327\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 536826,
+      "path": "data/train/pbb/numina-000315-0000-b81a47aeff194bb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "b81a47aeff194bb7aa743b0a100171f5ef55b9ac69d25d44a22ec4d36bdf8569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000316.json b/manifests/batches/numina/000316.json
index e718a3fb1c58efda8963530e73b20c9e08a5549c..c6ace7019fc61f37271f4d3f6d69d54c48064cbb 100644
--- a/manifests/batches/numina/000316.json
+++ b/manifests/batches/numina/000316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000316",
   "batch_fingerprint": "6bae85d9d943c99a27c7fb37c7a3869210e35c634f30a3611302cb62a64365a4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000316-0000-ab06d97de733328d.parquet",
-      "sha256": "ab06d97de733328da696a990c4d767a4b589c5b25d44c0bd2ca2b3831b9e5e5c",
-      "bytes": 233568,
-      "rows": 30,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    },
-    {
-      "path": "data/internal_test/numina-000316-0000-baa72913f56defbf.parquet",
-      "sha256": "baa72913f56defbf3792df7cf47e8d4bb042afe2d751e9192e289c7b74644699",
-      "bytes": 37331,
-      "rows": 3,
-      "revision": "dada67761e8ce6d875d3bab6218b5a9a7829e4e1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57e5fb68-453a-5b4c-9df2-097538ea371b",
     "numina:78be0181-a3a0-5c1f-9ad6-8455fa3a373e",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001582.lean\",\"6c72fb1a47928135437e86390563a27061e22e156eaf5dd763909cced36d130c\",0,\"algebra_171942\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001583.lean\",\"3952b0074e0d38a3d9034bc9a8b1458e3265d1b9814f708fbb2b741cad83261e\",0,\"number_theory_172697\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001584.lean\",\"f1266590f55c0b0c6f2e73450e8bbbd9912ddb4984becbad0e7ad1b89f80b997\",0,\"algebra_172809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233568,
+      "path": "data/train/p78/numina-000316-0000-ab06d97de733328d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ab06d97de733328da696a990c4d767a4b589c5b25d44c0bd2ca2b3831b9e5e5c"
+    },
+    {
+      "bytes": 37331,
+      "path": "data/internal_test/p78/numina-000316-0000-baa72913f56defbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "baa72913f56defbf3792df7cf47e8d4bb042afe2d751e9192e289c7b74644699"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000317.json b/manifests/batches/numina/000317.json
index 792d6c7f7ca9bba1d43cecb9e5940e128572ae83..b493ce22db52c1ac2cf3894cf86101ecee6b3967 100644
--- a/manifests/batches/numina/000317.json
+++ b/manifests/batches/numina/000317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000317",
   "batch_fingerprint": "15a7715ec1a300fa806db49a96b497f95616c8111c93a3dd740442bd261e00c6",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000317-0000-6a615f662d98c77d.parquet",
-      "sha256": "6a615f662d98c77d165eac0996b3b5df5ff4825a9de9dcb16ab7a9924ffb1e67",
-      "bytes": 756155,
-      "rows": 33,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/train/numina-000317-0001-31fbf108b6c36abb.parquet",
-      "sha256": "31fbf108b6c36abbd7273d756d56ee320f82566a05e419f7d3b2fe20e62c9088",
-      "bytes": 240766,
-      "rows": 15,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    },
-    {
-      "path": "data/internal_test/numina-000317-0000-ad0b5536c30ed71c.parquet",
-      "sha256": "ad0b5536c30ed71c5f81868e315d904124b2e8ebc5a662716afb3c8803e15787",
-      "bytes": 86729,
-      "rows": 4,
-      "revision": "85f0770064bf15e12aaa0cad6b9711c39183de80"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4d8743ee-244f-5833-bf9d-dff778ee4976",
     "numina:7ecbc0a1-e8d3-56a5-af40-ebb7c8a982aa",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001587.lean\",\"1f0661b62f9902fb5a8f71fa43c7e418afa685176050a6b2cd93ddfb83be6ed9\",2,\"algebra_173885\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001588.lean\",\"51da35d343fef4443b179a429862c7927dc5d1b39b3102bf5c6f01fb4d26b3e3\",2,\"inequalities_173899\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001589.lean\",\"bc3ee814b4a292832fcad86fbfa46d6cd85d6f7ad96fa1faaf7b5dd28e7ef7f9\",0,\"unique_prime_pair\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 756155,
+      "path": "data/train/pdc/numina-000317-0000-6a615f662d98c77d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "6a615f662d98c77d165eac0996b3b5df5ff4825a9de9dcb16ab7a9924ffb1e67"
+    },
+    {
+      "bytes": 240766,
+      "path": "data/train/pdc/numina-000317-0001-31fbf108b6c36abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "31fbf108b6c36abbd7273d756d56ee320f82566a05e419f7d3b2fe20e62c9088"
+    },
+    {
+      "bytes": 86729,
+      "path": "data/internal_test/pdc/numina-000317-0000-ad0b5536c30ed71c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ad0b5536c30ed71c5f81868e315d904124b2e8ebc5a662716afb3c8803e15787"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000318.json b/manifests/batches/numina/000318.json
index 5fba827f8ccafbbbbf682041fe7e2fe968c0c64b..1791658e070942c9326658d98a8179681c8c3d98 100644
--- a/manifests/batches/numina/000318.json
+++ b/manifests/batches/numina/000318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000318",
   "batch_fingerprint": "ca553d86fe46db34275bcd69d449d03c9fa4fc8eebab30e2452547e04e7a1586",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000318-0000-fb63e89176ac4370.parquet",
-      "sha256": "fb63e89176ac43709865e31e5bd8b06b1be6aaa4cafd62133e742580dac8edc7",
-      "bytes": 103136,
-      "rows": 9,
-      "revision": "80f4ffcc47cced3661abbdfbbfb39793f030424d"
-    },
-    {
-      "path": "data/internal_test/numina-000318-0000-1ba260e1e4e9901c.parquet",
-      "sha256": "1ba260e1e4e9901c52cc567917e3e2524fd0a0fde4801d06a6e5a2c215a79919",
-      "bytes": 71749,
-      "rows": 6,
-      "revision": "80f4ffcc47cced3661abbdfbbfb39793f030424d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a170e7e-118c-59f6-a03e-ea98dd86cff1",
     "numina:912c6d6a-8474-5c62-bb8b-9466fee643e2",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001591.lean\",\"bdd05b7927fff1110ce2ae109e0be8b27fa1da8b8918fda0ad081e10f2d22ab1\",0,\"number_theory_174971\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001592.lean\",\"8367b15418a2fc53fcaafc114f66c2ab40f5771666227a61e0f10b73f69cb312\",1,\"number_theory_175158\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001593.lean\",\"f2a999d6cda1fe85aa7cf57838f22c268570e5076cebe1b17cf71c419084a3e7\",0,\"number_theory_175198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103136,
+      "path": "data/train/p94/numina-000318-0000-fb63e89176ac4370.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fb63e89176ac43709865e31e5bd8b06b1be6aaa4cafd62133e742580dac8edc7"
+    },
+    {
+      "bytes": 71749,
+      "path": "data/internal_test/p94/numina-000318-0000-1ba260e1e4e9901c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1ba260e1e4e9901c52cc567917e3e2524fd0a0fde4801d06a6e5a2c215a79919"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000319.json b/manifests/batches/numina/000319.json
index c239031dd60a34249c11e21cf78cf4b7fb1e53b6..6602f549be85e67e0a5f2c72c53affb728a13e92 100644
--- a/manifests/batches/numina/000319.json
+++ b/manifests/batches/numina/000319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000319",
   "batch_fingerprint": "1b2ee221f4472b218b953804b1094050d29e563f3ec37db8698f68f0327e3a1f",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000319-0000-1f3e942072caed72.parquet",
-      "sha256": "1f3e942072caed72d752f83c8ae7d84e6952ef5bd1ff72e8d914cd3009a106bf",
-      "bytes": 547992,
-      "rows": 17,
-      "revision": "80f4ffcc47cced3661abbdfbbfb39793f030424d"
-    },
-    {
-      "path": "data/train/numina-000319-0001-c357356b7a256c89.parquet",
-      "sha256": "c357356b7a256c8945cc7df0f244c805aab9ee8e7685f323e0c3cc20ebd44c47",
-      "bytes": 384158,
-      "rows": 20,
-      "revision": "80f4ffcc47cced3661abbdfbbfb39793f030424d"
-    },
-    {
-      "path": "data/dev/numina-000319-0000-1bf938325505087c.parquet",
-      "sha256": "1bf938325505087c9709fd5752fcfe49068e384fe5fb449f8ead396b6f9040f1",
-      "bytes": 197417,
-      "rows": 4,
-      "revision": "80f4ffcc47cced3661abbdfbbfb39793f030424d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0382fe34-1bef-5a21-89b9-be3c3d371e8a",
     "numina:0a0b7cc6-b9c0-5ddf-b9e7-88eed7d33194",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001597.lean\",\"adb6cee36eac81a0a90415a984e99ca56c5b091e7771728d148f1ab13fd4c8c1\",0,\"prob_13_230\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001598.lean\",\"26ffb8a993c2923f5eabc5a33ee3376b64e653563621d46b60f05cccef23f141\",0,\"inequalities_176553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001599.lean\",\"a80fc974270c35a19a44889079af4982d0a843822a1d573063abe4abe02f2021\",0,\"number_theory_176912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 547992,
+      "path": "data/train/pfa/numina-000319-0000-1f3e942072caed72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1f3e942072caed72d752f83c8ae7d84e6952ef5bd1ff72e8d914cd3009a106bf"
+    },
+    {
+      "bytes": 384158,
+      "path": "data/train/pfa/numina-000319-0001-c357356b7a256c89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c357356b7a256c8945cc7df0f244c805aab9ee8e7685f323e0c3cc20ebd44c47"
+    },
+    {
+      "bytes": 197417,
+      "path": "data/dev/pfa/numina-000319-0000-1bf938325505087c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1bf938325505087c9709fd5752fcfe49068e384fe5fb449f8ead396b6f9040f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000320.json b/manifests/batches/numina/000320.json
index a0441da7bfb0de25021fbc361b561586540f5f78..585292815c83a79474e80ef781a9c74029d70a6e 100644
--- a/manifests/batches/numina/000320.json
+++ b/manifests/batches/numina/000320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000320",
   "batch_fingerprint": "a78c64204e451346a006265941a905ae18c5ae486f674304bfe7153a2da4fbee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000320-0000-7efb1ed04a86a6f4.parquet",
-      "sha256": "7efb1ed04a86a6f4c17ab2dae8c5a8d0d908f793722a21e00091de8c72432b6a",
-      "bytes": 963129,
-      "rows": 48,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/train/numina-000320-0001-8e86432c4fa985f5.parquet",
-      "sha256": "8e86432c4fa985f530033b7c7c8b4f7854ec4f35a5b6b386a91c637a1ab984d4",
-      "bytes": 262319,
-      "rows": 10,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ca00311-6de5-5a3c-8e25-810b02888afa",
     "numina:794177d9-7fa3-5e12-a024-c1732606f281",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001602.lean\",\"018ba547babc0db48934512bb08c3aff14d9af6cf215d08ee41981bf58cab688\",0,\"algebra_177224\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001603.lean\",\"9a20c1a75a647818ea6dea8dcd5b4783d12d9327abe2c2578777e977996dc2aa\",0,\"algebra_177572\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001604.lean\",\"cf60cd706f0cfd21e7108c34da250b1e81910be218eba33085ebd7a2a9f32e22\",0,\"number_theory_178104\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 963129,
+      "path": "data/train/p2f/numina-000320-0000-7efb1ed04a86a6f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "7efb1ed04a86a6f4c17ab2dae8c5a8d0d908f793722a21e00091de8c72432b6a"
+    },
+    {
+      "bytes": 262319,
+      "path": "data/train/p2f/numina-000320-0001-8e86432c4fa985f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8e86432c4fa985f530033b7c7c8b4f7854ec4f35a5b6b386a91c637a1ab984d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000321.json b/manifests/batches/numina/000321.json
index 2458f2a03e24525043b8691a6272031504143160..9a75f685c819b5ecefa2d5eb55c130ec143d7a60 100644
--- a/manifests/batches/numina/000321.json
+++ b/manifests/batches/numina/000321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000321",
   "batch_fingerprint": "8b0216ae81480db2dea5e88f98f26962a6e7265c432fc989f7ca26a1f86dfa3f",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000321-0000-82d93659abf97440.parquet",
-      "sha256": "82d93659abf974402a5ca6ed0f859ba5207682d485a89ded85e4f2466ae6b544",
-      "bytes": 487570,
-      "rows": 43,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17dcfb7c-6e55-5feb-9bcd-7063dfd4cee9",
     "numina:f8372e94-f82b-5eba-bc94-b3054a1b36f3",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001606.lean\",\"697e65605f6ddaca3daccb95c5b98cb2fa0e32ff8ae8aa723899b5b6fce8a582\",6,\"algebra_178584\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001607.lean\",\"16f47310fb8766dba0ba43c8bab3997e087879e4625197d3be935020081ee7dd\",2,\"algebra_178646\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001608.lean\",\"94c9113385fcd78f478371c82a46e68872035c9d59a5c9c53c461bc61f525066\",1,\"number_theory_178946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487570,
+      "path": "data/train/p17/numina-000321-0000-82d93659abf97440.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "82d93659abf974402a5ca6ed0f859ba5207682d485a89ded85e4f2466ae6b544"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000322.json b/manifests/batches/numina/000322.json
index 180621f03fa937d479ebeec23c0c787829a1be27..d0cda5b715c01c167d4fdd6e4c37aa5d454567ec 100644
--- a/manifests/batches/numina/000322.json
+++ b/manifests/batches/numina/000322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000322",
   "batch_fingerprint": "a3e0a3db2aab1de7a9eb894e2a594684c2115e429a013c2d1c6912f5335d3dcf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000322-0000-841f099aa5b32eb2.parquet",
-      "sha256": "841f099aa5b32eb2aebd83ae3681ffab8daf3f482f37fe69e8bcc51586442656",
-      "bytes": 576993,
-      "rows": 38,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/train/numina-000322-0001-a96bf8a93bbdf934.parquet",
-      "sha256": "a96bf8a93bbdf93457e97652fb6094f4ef1eed59a0c47567cf360654c287894e",
-      "bytes": 329825,
-      "rows": 2,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08d696ca-e38f-5444-b016-b4e2545024c9",
     "numina:5c0e3279-b5f3-50e5-9311-ddbb55c78ffc",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001612.lean\",\"88ccb3e38cd8ded9fb7f6ca51f2dd58870414e56603e970e46a5613cf6fadff6\",0,\"number_theory_179916\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001613.lean\",\"67bc8e6e5b26905630634a9f66c959e2f324ee45dc92a2b42f6568f0ea4b30df\",0,\"algebra_179977\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001614.lean\",\"f082c731990c37a3dd870945633d1907719e8c728ce517780621a00efe1834b0\",0,\"algebra_180979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576993,
+      "path": "data/train/p62/numina-000322-0000-841f099aa5b32eb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "841f099aa5b32eb2aebd83ae3681ffab8daf3f482f37fe69e8bcc51586442656"
+    },
+    {
+      "bytes": 329825,
+      "path": "data/train/p62/numina-000322-0001-a96bf8a93bbdf934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a96bf8a93bbdf93457e97652fb6094f4ef1eed59a0c47567cf360654c287894e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000323.json b/manifests/batches/numina/000323.json
index 2472ce2bf7af6f82981772dfaf205082f48dd90b..03afede7f01969c713d12d86b6a3bda9d2c293a0 100644
--- a/manifests/batches/numina/000323.json
+++ b/manifests/batches/numina/000323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000323",
   "batch_fingerprint": "9afbfb219d42d924a9e5ef3042e8028588660d48a8efba33fb5fabd0972b5045",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000323-0000-79fa71acbf353f26.parquet",
-      "sha256": "79fa71acbf353f26dff35da1ef655adf2a1170c5216363855e675dd302bf105e",
-      "bytes": 267415,
-      "rows": 37,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/dev/numina-000323-0000-33746e83fb367a08.parquet",
-      "sha256": "33746e83fb367a08a72cf16c3a22eb71fdf3bb422a7d8bf11b53aec31806ef16",
-      "bytes": 48714,
-      "rows": 5,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:53e40f6a-ae67-5a41-93c2-2f807aa07919",
     "numina:689f65e8-fcd1-539f-a0dd-f9b5a583c95f",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001617.lean\",\"ae6326f5349e6936d41a85541d3717915d2859c065c81fc06d7c270e7160f6c9\",0,\"algebra_182664\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001618.lean\",\"c17adb019ae41ec76d271cb7eafca266062ee207d22571c60fec61378d0b0142\",2,\"inequalities_183491\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001619.lean\",\"851f3048fe56e9a3de534542524b81cbf00b37968729c0b29e55885001c5a5f3\",0,\"number_theory_184359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267415,
+      "path": "data/train/p21/numina-000323-0000-79fa71acbf353f26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "79fa71acbf353f26dff35da1ef655adf2a1170c5216363855e675dd302bf105e"
+    },
+    {
+      "bytes": 48714,
+      "path": "data/dev/p21/numina-000323-0000-33746e83fb367a08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "33746e83fb367a08a72cf16c3a22eb71fdf3bb422a7d8bf11b53aec31806ef16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000324.json b/manifests/batches/numina/000324.json
index c3bce7774ad0b36a8a1a53890d1e0b839a56288e..5fa04eb6f3bf8445178ec1a8852a7a85fe8ea8ae 100644
--- a/manifests/batches/numina/000324.json
+++ b/manifests/batches/numina/000324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000324",
   "batch_fingerprint": "e5f42908e4abfe20994af1762341a059f95a7f83a571017ee8eff7957bd72b2a",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000324-0000-ff372cf88128abf1.parquet",
-      "sha256": "ff372cf88128abf1a2d1921d94b29c263a9be86abf9b2a9f2a7ad3f9dd0c2cc8",
-      "bytes": 152903,
-      "rows": 29,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3796d618-543d-54f6-9b30-1b7889b4e2f4",
     "numina:4ae59a15-99c4-5f8f-97c9-881f3c4539d1",
@@ -59,5 +50,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001621.lean\",\"8b1aadf251b6b828ad2b4e4ce974df8883300a44eaf8bfb4031214ec7ba41c6c\",1,\"number_theorem_184824\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001622.lean\",\"963096fd60924ff4a5bf372d8e8e44dec21da0c2f51a5caef11ac98b94224ad1\",1,\"number_theory_184865\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001623.lean\",\"fb931914b283b9e8f45089e11fb3511a7b7b485f8998857e4cae43e5fe27c381\",0,\"number_theory_184975\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152903,
+      "path": "data/train/pac/numina-000324-0000-ff372cf88128abf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ff372cf88128abf1a2d1921d94b29c263a9be86abf9b2a9f2a7ad3f9dd0c2cc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000325.json b/manifests/batches/numina/000325.json
index 0f7333b59b6573044433accbd4f3a5acc71293ba..575119a3cbe3d3b679a15a5f5fff1c9cbf6a9ab7 100644
--- a/manifests/batches/numina/000325.json
+++ b/manifests/batches/numina/000325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000325",
   "batch_fingerprint": "75e5200800f453dfec235970a7dd469fc9f0a9854fbd3d49bf1e7b20c3de9400",
   "evidence": {
@@ -46,22 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000325-0000-f4be9f63038a2e31.parquet",
-      "sha256": "f4be9f63038a2e31957678ffff322fc54bb4069e9880ac7ca96a1eecc9c289ce",
-      "bytes": 139138,
-      "rows": 26,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    },
-    {
-      "path": "data/internal_test/numina-000325-0000-d344190de7aede5a.parquet",
-      "sha256": "d344190de7aede5ae7db43036539c702bc12d3c36affd855320ce7b98828c853",
-      "bytes": 81226,
-      "rows": 18,
-      "revision": "26078386a543de32fa20c65bacba3c6d24d51eac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:80ba917e-b139-52fc-b701-01d42faf37f6",
     "numina:979fe0eb-0caf-5536-8a36-6d4cd5fff2bd",
@@ -73,5 +57,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001626.lean\",\"b099b36b3f09b48994c03b9e1b75c2f842f7dbc19ae487c364234f256a6f6efc\",5,\"number_theory_185512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001627.lean\",\"52bfb737bbe06a2bef04f554bf2d51334e2c5f366afe2387ec477a0bd3205922\",0,\"algebra_185698\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001629.lean\",\"6a1c380d966346db58723ce489e797d6696b3a768274f83a43ef104eed374c39\",1,\"number_theory_185918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139138,
+      "path": "data/train/p12/numina-000325-0000-f4be9f63038a2e31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f4be9f63038a2e31957678ffff322fc54bb4069e9880ac7ca96a1eecc9c289ce"
+    },
+    {
+      "bytes": 81226,
+      "path": "data/internal_test/p12/numina-000325-0000-d344190de7aede5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d344190de7aede5ae7db43036539c702bc12d3c36affd855320ce7b98828c853"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000326.json b/manifests/batches/numina/000326.json
index 818b9018ecfb487ebaf315448c8ad1578417397d..e841bccb7dbc3c47ab438aff557d429de0c4be5b 100644
--- a/manifests/batches/numina/000326.json
+++ b/manifests/batches/numina/000326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000326",
   "batch_fingerprint": "cf5a882917259a0f80fee9abc80bbdf0e9fda97b96d766746d3634d6db3f1d22",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000326-0000-51b599cfe4f3de62.parquet",
-      "sha256": "51b599cfe4f3de62d457937a441a6af2f1448f61eb01276c1e4821dc612aa7d8",
-      "bytes": 263489,
-      "rows": 40,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    },
-    {
-      "path": "data/dev/numina-000326-0000-a4bedbf03bde365a.parquet",
-      "sha256": "a4bedbf03bde365a6e950a52a9dbab3fb371b605c2411334145707fed67529a6",
-      "bytes": 289132,
-      "rows": 3,
-      "revision": "9cfc476e2768c62ede68f6ea926145df2c4b9e9e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d3efb9f-eeca-51bb-b16b-dd901119e091",
     "numina:1f2b267f-7a1f-58d1-ab9d-ea65bc878598",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001632.lean\",\"e459b94229d0177afd5ae7c13e92ac2d4d2de4cf53833a0dd14ef79c8d3ded66\",0,\"number_theory_186518\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001633.lean\",\"2407d9af17d48536019e20e7ff8987485d57ef1905e8a8f73cc057fedf5a0c39\",0,\"number_theory_186951\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001634.lean\",\"381fb03d8b97c30358a7f64b7b71bfc6037df482ee961d000aba0307306a0a10\",2,\"algebra_187138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263489,
+      "path": "data/train/pd6/numina-000326-0000-51b599cfe4f3de62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "51b599cfe4f3de62d457937a441a6af2f1448f61eb01276c1e4821dc612aa7d8"
+    },
+    {
+      "bytes": 289132,
+      "path": "data/dev/pd6/numina-000326-0000-a4bedbf03bde365a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a4bedbf03bde365a6e950a52a9dbab3fb371b605c2411334145707fed67529a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000327.json b/manifests/batches/numina/000327.json
index b313186ddf0a11a97fd57ab2de99b9ea8bf48346..085496af25ec700defa68913eb137d247b01aca1 100644
--- a/manifests/batches/numina/000327.json
+++ b/manifests/batches/numina/000327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000327",
   "batch_fingerprint": "ecb8809987e720800d49099e68bfafa16166004ca59700a2cda69e5e977d8262",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000327-0000-55bcdb555b4aaa1d.parquet",
-      "sha256": "55bcdb555b4aaa1d8c6d888e3ea4c088f95998f05034a77ec043e8318d88efb7",
-      "bytes": 329147,
-      "rows": 28,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/internal_test/numina-000327-0000-7d89dd3ff6ba010b.parquet",
-      "sha256": "7d89dd3ff6ba010b21f2a05b999017ca6a678f48294929da3784a142ba74fc84",
-      "bytes": 165449,
-      "rows": 4,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34cf4692-9868-545f-8bfb-db1212c62295",
     "numina:6dff952d-5f93-509d-a318-28bc2d0c1513",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001637.lean\",\"6744302de361f7d8f2ece2e4063dae9c0ee0ebc1776bb4494ce8ba8484ee76ee\",3,\"calculus_188291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001638.lean\",\"aecad6a16e8e3914c4234b01b87d97bb4c82ead54a1d85bea762d65d5c9ebd56\",2,\"algebra_188682\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001639.lean\",\"a19676ec9b58dfa1a02d68f1a994a0bf91164cf183233e2ca62c6b857216c181\",2,\"number_theory_188736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329147,
+      "path": "data/train/p24/numina-000327-0000-55bcdb555b4aaa1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "55bcdb555b4aaa1d8c6d888e3ea4c088f95998f05034a77ec043e8318d88efb7"
+    },
+    {
+      "bytes": 165449,
+      "path": "data/internal_test/p24/numina-000327-0000-7d89dd3ff6ba010b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7d89dd3ff6ba010b21f2a05b999017ca6a678f48294929da3784a142ba74fc84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000328.json b/manifests/batches/numina/000328.json
index b0fbbd19dfd515f8fa008b9f173de9df3109e9d6..5f0efb19d2a6e58093181b9e0d9491896ae4b87c 100644
--- a/manifests/batches/numina/000328.json
+++ b/manifests/batches/numina/000328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000328",
   "batch_fingerprint": "f6f3bd85a0eba3ae333b5fec08a7b8bdd42df623c2f8a6bfaf22a57fd4910f31",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000328-0000-a3c8f9e3b78d1a54.parquet",
-      "sha256": "a3c8f9e3b78d1a54b0a6e9f42a9b752d1865f46d2822d29b242ee1c6bcfbc789",
-      "bytes": 76461,
-      "rows": 12,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/internal_test/numina-000328-0000-7d32c10b2c65a1f1.parquet",
-      "sha256": "7d32c10b2c65a1f151525e4e168afeaad27b77eb1a707f8b2dd3a20c61bdef5c",
-      "bytes": 146705,
-      "rows": 21,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:178a7e62-5740-5a1e-b7df-51ae4c8441fd",
     "numina:48996aea-1763-5020-85da-8fd2282d2e49",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001642.lean\",\"8d46ef2297b9442de158da8d544c1f375d9b2fe2a11b784c5842c841c3989611\",0,\"algebra_188862\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001643.lean\",\"fc4cdefaa64ab2a2b0e4b3bcd37bf7686372f55582327d50c15f20870d4f4db1\",0,\"algebra_188966\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001644.lean\",\"8744fd542da7e437d0b1e56a5e9cc3c1c94034e708b20fbb10d3aa0ba1340b09\",8,\"algebra_189042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76461,
+      "path": "data/train/pef/numina-000328-0000-a3c8f9e3b78d1a54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a3c8f9e3b78d1a54b0a6e9f42a9b752d1865f46d2822d29b242ee1c6bcfbc789"
+    },
+    {
+      "bytes": 146705,
+      "path": "data/internal_test/pef/numina-000328-0000-7d32c10b2c65a1f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7d32c10b2c65a1f151525e4e168afeaad27b77eb1a707f8b2dd3a20c61bdef5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000329.json b/manifests/batches/numina/000329.json
index ec9c820ae9fbe67a7a3bab9b0cd33ea8187f0076..83c9fa68b88aaff72d7be493b80f708049f4787b 100644
--- a/manifests/batches/numina/000329.json
+++ b/manifests/batches/numina/000329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000329",
   "batch_fingerprint": "3ecc9a0ac4a4e1732a1fc3a7f547d2f9308043902459897ba85346d1a8cd53fb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000329-0000-7347d69f0251b430.parquet",
-      "sha256": "7347d69f0251b4304f057912d428ae7db61cb9c8e969c4616639a66302f20fbb",
-      "bytes": 536039,
-      "rows": 25,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/internal_test/numina-000329-0000-2ba7215b01b55028.parquet",
-      "sha256": "2ba7215b01b55028adbbb3276230c525f9a94c90efe008b4c193ac7bdb46176e",
-      "bytes": 75389,
-      "rows": 15,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:038ba8f8-0e1a-5a90-aa98-6b042f1d35fc",
     "numina:54f3bc8a-adf9-5087-9bd9-d586e62523be",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001647.lean\",\"9a7aeb27a3764ce0c1ddb046c78ebaea94fb8c747f4ef677d5bd70a7456c99cb\",0,\"algebra_189387\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001648.lean\",\"6053348990bd697f9461081f11eded15f450cc0f30b2726b768b34fdd9796e98\",3,\"algebra_189394\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001649.lean\",\"d605b85ab3a5ca480822d8b916d82427db5a4c0e0e69618467bf09b60c4742aa\",0,\"number_theory_189526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 536039,
+      "path": "data/train/p7b/numina-000329-0000-7347d69f0251b430.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7347d69f0251b4304f057912d428ae7db61cb9c8e969c4616639a66302f20fbb"
+    },
+    {
+      "bytes": 75389,
+      "path": "data/internal_test/p7b/numina-000329-0000-2ba7215b01b55028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2ba7215b01b55028adbbb3276230c525f9a94c90efe008b4c193ac7bdb46176e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000330.json b/manifests/batches/numina/000330.json
index af222972d36f127ff46cd93703b754aa7cd263aa..c82d1f4a59b2660c238fd402a4a50fbef083a49c 100644
--- a/manifests/batches/numina/000330.json
+++ b/manifests/batches/numina/000330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000330",
   "batch_fingerprint": "0b21bf8f53246800c0d32ae92c996eec33765aec0762c2a0d77ed369e1e84b95",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000330-0000-48f3d50d4be840ab.parquet",
-      "sha256": "48f3d50d4be840abda02863d601d5a1983ba95f24287f03fd7cceae990f37276",
-      "bytes": 762832,
-      "rows": 43,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/train/numina-000330-0001-8c8bc0c8ce6fc5a2.parquet",
-      "sha256": "8c8bc0c8ce6fc5a2c626d4e4e447c1f01db4aaa2a94b1dd54c3be06d60cacc6f",
-      "bytes": 488782,
-      "rows": 32,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30bdfbc0-2c11-5791-bc34-6e49f07b365c",
     "numina:7d790260-d0a5-52a2-be7f-6a9541a11147",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001652.lean\",\"a905d45e6272779a63092829e0bb617730eb4027c9377317bbfac3e08c7cc10b\",0,\"algebra_189898\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001653.lean\",\"ca09412fbfb8d3e9fe925f9de19391da74c91458858498936853ac8c97097051\",0,\"inequalities_189973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001654.lean\",\"c843c4a1f9ee2fdc26af2e114bb3eea95bbc717b426e0a5316ec807dc122d827\",0,\"algebra_190047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 762832,
+      "path": "data/train/pcd/numina-000330-0000-48f3d50d4be840ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "48f3d50d4be840abda02863d601d5a1983ba95f24287f03fd7cceae990f37276"
+    },
+    {
+      "bytes": 488782,
+      "path": "data/train/pcd/numina-000330-0001-8c8bc0c8ce6fc5a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "8c8bc0c8ce6fc5a2c626d4e4e447c1f01db4aaa2a94b1dd54c3be06d60cacc6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000331.json b/manifests/batches/numina/000331.json
index 02fe4127c2760bbf30fc200ef50beb5225312e71..a5a580ab7b7b5a134e7b2cdd09a937037c0daa58 100644
--- a/manifests/batches/numina/000331.json
+++ b/manifests/batches/numina/000331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000331",
   "batch_fingerprint": "ebbaa935555fe2adb91bc29c302b66ca93fe743166dadae1583f37722e19d433",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000331-0000-d1e4a485b3855e8f.parquet",
-      "sha256": "d1e4a485b3855e8f3a7b7e18b051f3240d58d7b5228ae5e3cf994d2d0adef4cf",
-      "bytes": 205310,
-      "rows": 24,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/dev/numina-000331-0000-0e8b7c0055b1fdcf.parquet",
-      "sha256": "0e8b7c0055b1fdcfec126f96bdc98308636172c33f79ff7dbae02fd295206107",
-      "bytes": 555780,
-      "rows": 14,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2906703f-6064-5063-881b-e9e22f0c6f47",
     "numina:584adbfb-dc91-5792-8f04-34fa46e4e795",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001657.lean\",\"34b7c352116da41f8baefae5baa7440e85adfc440186772efac7860774c6380e\",5,\"number_theory_191759\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001658.lean\",\"6d3f38fb13a3a07ef3dcba4ff5a3736e82a5cd751e25c1e4d13ba6e3d406966a\",0,\"number_theory_192070\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001659.lean\",\"afd035d72c7d2a8a3d719d3091a664840fec2f6332e93593bd944d29b2e80855\",4,\"number_theory_192459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205310,
+      "path": "data/train/pe0/numina-000331-0000-d1e4a485b3855e8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d1e4a485b3855e8f3a7b7e18b051f3240d58d7b5228ae5e3cf994d2d0adef4cf"
+    },
+    {
+      "bytes": 555780,
+      "path": "data/dev/pe0/numina-000331-0000-0e8b7c0055b1fdcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0e8b7c0055b1fdcfec126f96bdc98308636172c33f79ff7dbae02fd295206107"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000332.json b/manifests/batches/numina/000332.json
index 81925304cccd205f567a76c2a22774601eecdd79..a38df174bf445d8e2490de8b1bba6354ac094d91 100644
--- a/manifests/batches/numina/000332.json
+++ b/manifests/batches/numina/000332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000332",
   "batch_fingerprint": "5dfbcc3457437467278da72da505e978b835007025b7ed035c8ae42e57706e2c",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000332-0000-e9c8cf3ca05da9eb.parquet",
-      "sha256": "e9c8cf3ca05da9eb58fee7e50f5865c50f08934b5e4af5e832d0c45fdc2b17af",
-      "bytes": 465876,
-      "rows": 16,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/train/numina-000332-0001-1bcdd82f7e5f398e.parquet",
-      "sha256": "1bcdd82f7e5f398e8951a99119d7766824dd90fd266b2d90b6e4f3190db45db8",
-      "bytes": 367561,
-      "rows": 5,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/internal_test/numina-000332-0000-d51f50cb8ea9b153.parquet",
-      "sha256": "d51f50cb8ea9b1537f4eac8c22cff86b4491a664455c07725ceab9ab049eb671",
-      "bytes": 47966,
-      "rows": 7,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:220daa1b-9ae6-58a1-8a6d-64ef2604a8eb",
     "numina:8e20db90-072a-56a3-8710-9cc4e83717b0",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001662.lean\",\"efea9309d2782936162335d48e86c9f5391644b332c3e6f514b73e8215dd802b\",0,\"algebra_192945\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001663.lean\",\"b695d0cce9f9b08629f5c076d1f9addd5eb191a4c09d99ffd4b996aa75df458a\",0,\"algebra_193239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001664.lean\",\"eb6b0dddfdf3c0b69099863c53e8b866e878fd50bc510c26d44e71a4dea125a3\",0,\"algebra_193512\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465876,
+      "path": "data/train/p4a/numina-000332-0000-e9c8cf3ca05da9eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e9c8cf3ca05da9eb58fee7e50f5865c50f08934b5e4af5e832d0c45fdc2b17af"
+    },
+    {
+      "bytes": 367561,
+      "path": "data/train/p4a/numina-000332-0001-1bcdd82f7e5f398e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1bcdd82f7e5f398e8951a99119d7766824dd90fd266b2d90b6e4f3190db45db8"
+    },
+    {
+      "bytes": 47966,
+      "path": "data/internal_test/p4a/numina-000332-0000-d51f50cb8ea9b153.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d51f50cb8ea9b1537f4eac8c22cff86b4491a664455c07725ceab9ab049eb671"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000333.json b/manifests/batches/numina/000333.json
index 00259640c67955f86b5777845b45835d162b5426..66a347157816d451c31aefafc2c88674b5e99b0c 100644
--- a/manifests/batches/numina/000333.json
+++ b/manifests/batches/numina/000333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000333",
   "batch_fingerprint": "2d3e6bc2ed1893ae2396a4aef3bd45b59c5c1f4317d48d9e25a07c944c9f747f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000333-0000-5c6755f43889d787.parquet",
-      "sha256": "5c6755f43889d787a5dc155dd69c3849c6c3fd4d4a7e1630cb761e2d73198b11",
-      "bytes": 453903,
-      "rows": 66,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:165ee543-916c-5e61-a75e-05585887c5a2",
     "numina:47c10d89-7984-509e-b046-a584a7d9093c",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001667.lean\",\"3e4a998e2dfcccf2ce70836ffa472631d12e676f55dbaeecb1539da1995d8e06\",1,\"number_theory_195227\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001668.lean\",\"41cef834117e4814e6a58099e490d50e45ff3b5d80f403fce2e8ff030c5fb109\",0,\"algebra_195340\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001669.lean\",\"6b63a24698e386c9e46f44b37704a58d27b23efff61496055edccaad721791bb\",0,\"number_theory_195666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 453903,
+      "path": "data/train/p2b/numina-000333-0000-5c6755f43889d787.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "5c6755f43889d787a5dc155dd69c3849c6c3fd4d4a7e1630cb761e2d73198b11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000334.json b/manifests/batches/numina/000334.json
index 5519dd7ce2e928727edae624774da68368dfd8d4..402bbae0ae9a9a5e4b0e3c0d708b8801f1907d08 100644
--- a/manifests/batches/numina/000334.json
+++ b/manifests/batches/numina/000334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000334",
   "batch_fingerprint": "aa8f1832afad9701e0e8cd29bf4d82c3d590fbf8003890859562c3a710e8dc86",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000334-0000-52bcd09384e0dd61.parquet",
-      "sha256": "52bcd09384e0dd61bcaa31ff85565092a2460bcba31819b2f04146974efd8850",
-      "bytes": 602450,
-      "rows": 20,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/train/numina-000334-0001-22d558756fdb9ac8.parquet",
-      "sha256": "22d558756fdb9ac8d3c322a657358f51c17f60df0715f8a987d586a55380bdca",
-      "bytes": 795400,
-      "rows": 20,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/train/numina-000334-0002-3f394e53d6140dba.parquet",
-      "sha256": "3f394e53d6140dba01f67c10b0ecc7a12b7e8ebaaca5f7629367dfb17c5b58e8",
-      "bytes": 296830,
-      "rows": 15,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1cefaedb-3026-501e-99d6-6e493ce480f7",
     "numina:500b2d37-7dbb-5120-8014-bd1b60893b7b",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001672.lean\",\"9856ae77c25419ccc24e38844b6b2ba6e3eebbe0d76d87a5b305e23107285272\",0,\"algebra_195930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001673.lean\",\"0ec6f7b377f84e57431173c313af02b6f1773fa24fba68f42832eb2cd107b68b\",0,\"algebra_196013\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001674.lean\",\"c3a4c3dfb4aca8d03fd5e5a6e2afa9f13f7efb354c5c7a5150067e6435cc02b3\",5,\"number_theory_196023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 602450,
+      "path": "data/train/p04/numina-000334-0000-52bcd09384e0dd61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "52bcd09384e0dd61bcaa31ff85565092a2460bcba31819b2f04146974efd8850"
+    },
+    {
+      "bytes": 795400,
+      "path": "data/train/p04/numina-000334-0001-22d558756fdb9ac8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "22d558756fdb9ac8d3c322a657358f51c17f60df0715f8a987d586a55380bdca"
+    },
+    {
+      "bytes": 296830,
+      "path": "data/train/p04/numina-000334-0002-3f394e53d6140dba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3f394e53d6140dba01f67c10b0ecc7a12b7e8ebaaca5f7629367dfb17c5b58e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000335.json b/manifests/batches/numina/000335.json
index 7e88eb8628d0628aaaac99b71ddbde88ea1215ed..d7f70bfee96a0c08f85951539e44ba59de857b10 100644
--- a/manifests/batches/numina/000335.json
+++ b/manifests/batches/numina/000335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000335",
   "batch_fingerprint": "1731877c93b44e601d087e7d6b8b6594dba118da082c0d7ee19b930931401ba2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000335-0000-f3a1f5fcaa13cd42.parquet",
-      "sha256": "f3a1f5fcaa13cd425c1646c9049c63ff64a38c313fdd854fcedf7fcf1444ed88",
-      "bytes": 406857,
-      "rows": 41,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f91b71e-d9be-5d31-8674-6fe38ec586aa",
     "numina:7cf47efc-d434-52ec-8744-aab7d1f767d7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001677.lean\",\"96027ed8dcecce7e400110f29fd00acaede77ff5b23cf09dfeaae2354b2273ca\",0,\"algebra_197414\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001678.lean\",\"7d96aad12c2718f3bd3b605513b8c71fa9832741ae632071a8711d94ba17d09c\",0,\"number_theory_197739\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001679.lean\",\"3d0b50f8f0cb1f9ac11cd1902cb5fdb2a465001a6f4dffbbd84ba222afece910\",0,\"algebra_198122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406857,
+      "path": "data/train/p8a/numina-000335-0000-f3a1f5fcaa13cd42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f3a1f5fcaa13cd425c1646c9049c63ff64a38c313fdd854fcedf7fcf1444ed88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000336.json b/manifests/batches/numina/000336.json
index 36e830f5cc6b2844da4d742ed9f7a7f6ed5450f4..ad47002a0bad6cbc354d3b96c6df173a249b018d 100644
--- a/manifests/batches/numina/000336.json
+++ b/manifests/batches/numina/000336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000336",
   "batch_fingerprint": "b12b861f73ab941871f1847529a632b86c8a4cf01633f0406d78ac0c6ab3b579",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000336-0000-35181ee3f5955437.parquet",
-      "sha256": "35181ee3f5955437897d888a1d56f7cd76aac3e773c764237cc8395e06916b91",
-      "bytes": 623268,
-      "rows": 40,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    },
-    {
-      "path": "data/train/numina-000336-0001-6010b5018556b3b0.parquet",
-      "sha256": "6010b5018556b3b040524687c8bc49a83b1eeacc9e9a48f914772ab5d04aafc5",
-      "bytes": 267194,
-      "rows": 5,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:255930d6-11d3-5706-aafc-863d9c9480b6",
     "numina:6d8af8c3-aa69-5254-aa17-806e87d6bebe",
@@ -48,5 +32,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001683.lean\",\"0aeda0136efea19b01fabc46e765a0caf736512f76cf4fbee571ba0757fa0365\",0,\"number_theory_199190\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001684.lean\",\"a573aa45ee4f6fe547e49a71fe62a1e3120b7d970c83e2feebce421f03aefd8a\",0,\"number_theory_199432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 623268,
+      "path": "data/train/p42/numina-000336-0000-35181ee3f5955437.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "35181ee3f5955437897d888a1d56f7cd76aac3e773c764237cc8395e06916b91"
+    },
+    {
+      "bytes": 267194,
+      "path": "data/train/p42/numina-000336-0001-6010b5018556b3b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6010b5018556b3b040524687c8bc49a83b1eeacc9e9a48f914772ab5d04aafc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000337.json b/manifests/batches/numina/000337.json
index ea0c2092b266d91eaa315b70281eecae546728e5..d423174a2a4d46ff23f303a8ce930597c1703657 100644
--- a/manifests/batches/numina/000337.json
+++ b/manifests/batches/numina/000337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000337",
   "batch_fingerprint": "b1b024cec459ec44af43f503355c1509465562f151a62c155c427ac470e48d8c",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000337-0000-083aa6a9bef4f597.parquet",
-      "sha256": "083aa6a9bef4f597049270eba2f851e4cf41c83cf0e4055d77e72a4774ffe754",
-      "bytes": 317097,
-      "rows": 55,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/dev/numina-000337-0000-3fdbc2c0532528b7.parquet",
-      "sha256": "3fdbc2c0532528b7a7b14af48855ded4c3e8ad0f84096ade491b7630c442b574",
-      "bytes": 563108,
-      "rows": 44,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/dev/numina-000337-0001-8e0ba773d9c97f87.parquet",
-      "sha256": "8e0ba773d9c97f870d7edc0fb301759a57b99968e81dcacf00f9e1b7fdbd21ee",
-      "bytes": 336723,
-      "rows": 63,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:657c3fed-f45b-5313-ad0f-8838d4e5b01d",
     "numina:952b3025-62dd-595c-85e9-b26b1253359d",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001687.lean\",\"7d4a24a56638bb00a38e94dda49e76011accd480eac1f608b78c547c97ee5ebc\",4,\"number_theory_200378\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001688.lean\",\"cf31aea2ffb18680761ca0807d8389e9857b7fee1a7b3b9a8f1e80dd5fa9372a\",0,\"algebra_200444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001689.lean\",\"b2258beb176826eb047265289c49be827ab94a9d8cec8b9ccedc85ddbe021075\",1,\"number_theory_200648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317097,
+      "path": "data/train/p17/numina-000337-0000-083aa6a9bef4f597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "083aa6a9bef4f597049270eba2f851e4cf41c83cf0e4055d77e72a4774ffe754"
+    },
+    {
+      "bytes": 563108,
+      "path": "data/dev/p17/numina-000337-0000-3fdbc2c0532528b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "3fdbc2c0532528b7a7b14af48855ded4c3e8ad0f84096ade491b7630c442b574"
+    },
+    {
+      "bytes": 336723,
+      "path": "data/dev/p17/numina-000337-0001-8e0ba773d9c97f87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "8e0ba773d9c97f870d7edc0fb301759a57b99968e81dcacf00f9e1b7fdbd21ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000338.json b/manifests/batches/numina/000338.json
index 661b24cfd4d8ccc6bfa8d7abc75536b492503a60..189fdd037e034fe8ed3dbd3fcc98587ee6592b6f 100644
--- a/manifests/batches/numina/000338.json
+++ b/manifests/batches/numina/000338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000338",
   "batch_fingerprint": "f90bab06a6d5276c06b68c0960da63c6f6efbac0d542fc25d89b536e8e30cc2d",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000338-0000-21d1dd652826d6c6.parquet",
-      "sha256": "21d1dd652826d6c609995f1be52c9178b7347af20761f8025276f306c37ad7b0",
-      "bytes": 634539,
-      "rows": 59,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/train/numina-000338-0001-3d0c08ae9d3e69df.parquet",
-      "sha256": "3d0c08ae9d3e69df8ca97dc3f41abdecf409109734b1d3e2f83afcc9144f02b7",
-      "bytes": 74903,
-      "rows": 3,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6b286495-f21e-56a1-bf2e-e9b0706a4601",
     "numina:808d6d43-2f67-5633-982e-d7c482fab687",
@@ -65,5 +49,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001692.lean\",\"3bc2690bd0f78900aa45109a8f79e624e8dd4e5d8cb0898c87e5f3afec161295\",0,\"algebra_202115\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001694.lean\",\"09378bc4174e7c0912261b80c3df862b63e12371484b476707a98f83eeca3c94\",0,\"algebra_202287\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634539,
+      "path": "data/train/p5e/numina-000338-0000-21d1dd652826d6c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "21d1dd652826d6c609995f1be52c9178b7347af20761f8025276f306c37ad7b0"
+    },
+    {
+      "bytes": 74903,
+      "path": "data/train/p5e/numina-000338-0001-3d0c08ae9d3e69df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d0c08ae9d3e69df8ca97dc3f41abdecf409109734b1d3e2f83afcc9144f02b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000339.json b/manifests/batches/numina/000339.json
index e35b60e53ba85e91d6087f775a1874b308a60fa2..cdf7772392c041265b921c9a1e21316c4eac66e9 100644
--- a/manifests/batches/numina/000339.json
+++ b/manifests/batches/numina/000339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000339",
   "batch_fingerprint": "ce409d109e906e2d2e859a42391053511a0ae3a997aa1e12c7327536c69618f9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000339-0000-fe80ff8ac8c2cae5.parquet",
-      "sha256": "fe80ff8ac8c2cae54940899a6a0c16a81dda8f2db41a9f32c0ca9788b67913bb",
-      "bytes": 337863,
-      "rows": 43,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21488a2d-530e-53d6-bb8a-47882f11d059",
     "numina:586103ca-367d-5c57-817e-28cf3c86745a",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001698.lean\",\"814030b177a74c542a2d41177d6a3da487577ddd0850ad192ae53cd689793958\",0,\"algebra_202661\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001699.lean\",\"4b777e376ce56d0cc06cfd39626840267a847aa00e3794ee2e5cba09c7ebede4\",0,\"algebra_202777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337863,
+      "path": "data/train/p3f/numina-000339-0000-fe80ff8ac8c2cae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "fe80ff8ac8c2cae54940899a6a0c16a81dda8f2db41a9f32c0ca9788b67913bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000340.json b/manifests/batches/numina/000340.json
index 961e38712c3740a252bf41cebc828848280e8b34..c45bfb8ad4fd7f20656b6b9edaaa8f001aabfd2a 100644
--- a/manifests/batches/numina/000340.json
+++ b/manifests/batches/numina/000340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000340",
   "batch_fingerprint": "e44b91c923846f81b3c4a9f63fa2ae0c08b3941b84257e40e5457225a3dab73c",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000340-0000-fb2caf2de945a088.parquet",
-      "sha256": "fb2caf2de945a0882d24fa1076e344bdeffb3c7985582d07b95b9c5be37a707d",
-      "bytes": 420683,
-      "rows": 35,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47d4e803-6acc-522f-9cd4-c7f448720361",
     "numina:70a66be6-443d-5b28-aa35-7725599affd2",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001701.lean\",\"4fe137e1c729b92bb01263df937b7aa8c992c3b5362952663ce326aa77665a2a\",6,\"algebra_203357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001703.lean\",\"5ea07b5f3faf0861378413e03c2d6f12b1a6a83603788349cafd2d521a47efc6\",0,\"algebra_203488\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001704.lean\",\"8af2ba5a40beadf920063ad6bc7f0b541e3390accd0633a975095a9c9165ace8\",0,\"inequalities_203593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 420683,
+      "path": "data/train/p55/numina-000340-0000-fb2caf2de945a088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "fb2caf2de945a0882d24fa1076e344bdeffb3c7985582d07b95b9c5be37a707d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000341.json b/manifests/batches/numina/000341.json
index ca1d7d9517134989940f21c43ead21dddecb4e3f..5a0a79b852db6ee155c0f344fdbdb81746a241e9 100644
--- a/manifests/batches/numina/000341.json
+++ b/manifests/batches/numina/000341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000341",
   "batch_fingerprint": "6baf0de41fae9d48e4f87a9875eb52894ac8fe195b60f319314d0ab31790a625",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000341-0000-8ecc32332eb75187.parquet",
-      "sha256": "8ecc32332eb751875afeb29c4071a36e0ca207a776c2fbc1c7b836f9bf276989",
-      "bytes": 663801,
-      "rows": 47,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/train/numina-000341-0001-c0842f0f272fdff1.parquet",
-      "sha256": "c0842f0f272fdff1fbc4c99f770737f690436f04ccafbf1b4f9e79bd13241941",
-      "bytes": 474877,
-      "rows": 36,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/internal_test/numina-000341-0000-ec82d03f7a39af97.parquet",
-      "sha256": "ec82d03f7a39af97033b6d35137c4341404f50892b2e16e47cf337f8a07edef2",
-      "bytes": 113339,
-      "rows": 8,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c705259-56ff-58ec-87ef-bf2fca71cb1e",
     "numina:79d572db-b86f-5c16-9388-bc436100efd9",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001707.lean\",\"f5381e79d93f93f0bf8c8fcb958c4e5be2310c11cd8c125fb2f6b6ebee74305b\",5,\"algebra_203968\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001708.lean\",\"0525535f196a7c6aad68781ad8b1f0555ebf8c12c0df54c417152c73fd7e2f15\",0,\"number_theory_204056\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001709.lean\",\"b4407743a2ad24b23c4e39e7db537217fc7b996c34becbfbce988cd11e21f3a8\",1,\"algebra_205122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 663801,
+      "path": "data/train/p82/numina-000341-0000-8ecc32332eb75187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "8ecc32332eb751875afeb29c4071a36e0ca207a776c2fbc1c7b836f9bf276989"
+    },
+    {
+      "bytes": 474877,
+      "path": "data/train/p82/numina-000341-0001-c0842f0f272fdff1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "c0842f0f272fdff1fbc4c99f770737f690436f04ccafbf1b4f9e79bd13241941"
+    },
+    {
+      "bytes": 113339,
+      "path": "data/internal_test/p82/numina-000341-0000-ec82d03f7a39af97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ec82d03f7a39af97033b6d35137c4341404f50892b2e16e47cf337f8a07edef2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000342.json b/manifests/batches/numina/000342.json
index 4effeb34d085701bca1827577038ef41dcc0d02b..8b17e22f0576a739008135896ad05fea03a8489b 100644
--- a/manifests/batches/numina/000342.json
+++ b/manifests/batches/numina/000342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000342",
   "batch_fingerprint": "fce3fce4f96a75c84de407b971d966183832601f0891fa8b359a60948078b997",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1f677741-42a4-5876-9e68-b9143f0008de",
+    "numina:44a8e1c6-c7bc-51df-9aaa-d9d6faab4997",
+    "numina:6c10eaf5-686b-5a85-8ff6-16146678bfd0",
+    "numina:8ce73f3d-96d5-5c9a-ae5b-f883f723d4e5"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001710.lean\",\"b2a2b955099a8b4f1b3f3534be03dfb94bc4dfbfef36c165d97e88756fb80403\",0,\"algebra_205300\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001711.lean\",\"d596f294b207533f879fa202d4114b0c0cb461147c5d15304b531666dad78a73\",0,\"algebra_205511\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001713.lean\",\"00db5e31bec916b2dcf1b3ecf94697352ed6efb408594ab049abef2fb636ee62\",0,\"algebra_205642\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001714.lean\",\"f36b24f3f6d5a3bf4bea1d74b5fcdaf8bf0693907e89a1be616cff6b8318a02f\",0,\"inequalities_205694\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000342-0000-7d9bc7c1f1f297ad.parquet",
-      "sha256": "7d9bc7c1f1f297ade06049c6e564bd3f7371aa7139fc07f3e1845cc95617728b",
       "bytes": 358967,
+      "path": "data/train/pfe/numina-000342-0000-7d9bc7c1f1f297ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
+      "sha256": "7d9bc7c1f1f297ade06049c6e564bd3f7371aa7139fc07f3e1845cc95617728b"
     },
     {
-      "path": "data/dev/numina-000342-0000-f830d980af964405.parquet",
-      "sha256": "f830d980af96440589b714ebc26163c8d96ba33679dd1a9b8580f0b84d25e4a0",
       "bytes": 201222,
+      "path": "data/dev/pfe/numina-000342-0000-f830d980af964405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
+      "sha256": "f830d980af96440589b714ebc26163c8d96ba33679dd1a9b8580f0b84d25e4a0"
     },
     {
-      "path": "data/internal_test/numina-000342-0000-7cf2277793a01bd6.parquet",
-      "sha256": "7cf2277793a01bd6342e851c2cfed7a91d9cf4ea825683f6af114abb4382dc4f",
       "bytes": 92914,
+      "path": "data/internal_test/pfe/numina-000342-0000-7cf2277793a01bd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
+      "sha256": "7cf2277793a01bd6342e851c2cfed7a91d9cf4ea825683f6af114abb4382dc4f"
     }
-  ],
-  "proof_ids": [
-    "numina:1f677741-42a4-5876-9e68-b9143f0008de",
-    "numina:44a8e1c6-c7bc-51df-9aaa-d9d6faab4997",
-    "numina:6c10eaf5-686b-5a85-8ff6-16146678bfd0",
-    "numina:8ce73f3d-96d5-5c9a-ae5b-f883f723d4e5"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001710.lean\",\"b2a2b955099a8b4f1b3f3534be03dfb94bc4dfbfef36c165d97e88756fb80403\",0,\"algebra_205300\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001711.lean\",\"d596f294b207533f879fa202d4114b0c0cb461147c5d15304b531666dad78a73\",0,\"algebra_205511\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001713.lean\",\"00db5e31bec916b2dcf1b3ecf94697352ed6efb408594ab049abef2fb636ee62\",0,\"algebra_205642\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001714.lean\",\"f36b24f3f6d5a3bf4bea1d74b5fcdaf8bf0693907e89a1be616cff6b8318a02f\",0,\"inequalities_205694\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000343.json b/manifests/batches/numina/000343.json
index 3d704790a5b97284cc6afb937dd4155887a32088..9bb5f37507a5ab3a0b4010ce934b4d8156866918 100644
--- a/manifests/batches/numina/000343.json
+++ b/manifests/batches/numina/000343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000343",
   "batch_fingerprint": "309ec223951c036fab4e3240201b938943eb13bfab5cf978978a4decafef0c94",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000343-0000-c6e3297a32cbee5e.parquet",
-      "sha256": "c6e3297a32cbee5e213fc0c4fc7023df9b1abc3e7ba23740264844bdcc139cd7",
-      "bytes": 510395,
-      "rows": 23,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/dev/numina-000343-0000-faf7a989327ad002.parquet",
-      "sha256": "faf7a989327ad00217f6f5160c03cce81b51ea2778eb27c9b245436be970aebb",
-      "bytes": 346185,
-      "rows": 24,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1aa411fa-9ebd-5747-8e16-76e549298fde",
     "numina:37254c35-9ede-5b49-a5b0-95e189e8bd3d",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001716.lean\",\"9ecff1cac76f8c96f059a24099828b20adbbf2cb2eda358cc7cd4f8da9f8b0bf\",0,\"algebra_205805\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001717.lean\",\"bc2069d0a69c2cda2f1154771f25f24a34590a1670e807078a38233a7053784e\",0,\"number_theory_205856\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001719.lean\",\"4d0ef843890ee250ec32fa4c75c528403d0e163bd89b10c2758d79f543fe3139\",0,\"number_theory_206846\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 510395,
+      "path": "data/train/p40/numina-000343-0000-c6e3297a32cbee5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c6e3297a32cbee5e213fc0c4fc7023df9b1abc3e7ba23740264844bdcc139cd7"
+    },
+    {
+      "bytes": 346185,
+      "path": "data/dev/p40/numina-000343-0000-faf7a989327ad002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "faf7a989327ad00217f6f5160c03cce81b51ea2778eb27c9b245436be970aebb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000344.json b/manifests/batches/numina/000344.json
index c249197e65711fbafde434abcfb64c56c62db871..2ab77cea2da027f4dfa6d0887b1f8590431f124c 100644
--- a/manifests/batches/numina/000344.json
+++ b/manifests/batches/numina/000344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000344",
   "batch_fingerprint": "e51b79b749ef4fdc9d0d930eeaf9c582c05e29e09f228eb91eed8d3483ccdde0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000344-0000-c59c62c817596dfc.parquet",
-      "sha256": "c59c62c817596dfc698d9b5465dc665eef088ff2d7f9fc94752548a7aa8dbed1",
-      "bytes": 436099,
-      "rows": 60,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6d758b50-5375-529d-a5dd-5c1d8e4913e6",
     "numina:842b9c09-801b-57da-a5d2-edf333d0b5ef",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001722.lean\",\"dd440a783e696dd4a802b6d067e4b97fa01bcd990dee674df9dae86977046949\",3,\"inequalities_207337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001723.lean\",\"12b3f518674cb3543ddd8d6111bd5d81637a5dc09ae98bd2b28f66e057ff9616\",0,\"algebra_207361\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001724.lean\",\"854034bd719b475ad47f0024fae66aa413fc37ac569ccb08b0a2a7774ad31bbc\",0,\"algebra_207486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436099,
+      "path": "data/train/p52/numina-000344-0000-c59c62c817596dfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "c59c62c817596dfc698d9b5465dc665eef088ff2d7f9fc94752548a7aa8dbed1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000345.json b/manifests/batches/numina/000345.json
index af18a304867669fda971d35f0a48143573518a36..dceb9607faaccee54dd9e2f26bc7e84cfe4d17a7 100644
--- a/manifests/batches/numina/000345.json
+++ b/manifests/batches/numina/000345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000345",
   "batch_fingerprint": "1036d46466523f52fe0101b86b3d8d1e6e1c0fa1d61701f0e714cc8bdc8f1f16",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:20ba34db-23f3-5102-8b1b-9709dfc06e8c",
+    "numina:27451282-ddb7-5ccb-bd72-9f67914a2b8d",
+    "numina:7c54a4a6-ac85-5e4d-ab23-b7905437a450",
+    "numina:cf0a0987-cc47-5c94-b9fd-e1260147e287"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001726.lean\",\"db5ee08fa4ac82c905ed3d6820788efc71edca95945e2ea638e4145d56ccb3c5\",0,\"algebra_207891\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001727.lean\",\"8eea45dedefc38e751a9200d706652b419a9448149e396aa35cae9946f95dbe7\",0,\"inequalities_208046\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001728.lean\",\"c666661dd18741b84cae2c6500a641e7eee1a361785d171c43fb52bf56cac471\",0,\"my_favorite_theorem\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001729.lean\",\"2fd7742360560094b49d38ada2db498957f774e940907995351ca92d469bfaa5\",0,\"algebra_208522\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000345-0000-88b1f9e7b4431e5c.parquet",
-      "sha256": "88b1f9e7b4431e5c406d1e5f5c859cafe5ba22ed3654506be3d3a91db8d27abc",
       "bytes": 552528,
+      "path": "data/train/pf6/numina-000345-0000-88b1f9e7b4431e5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "88b1f9e7b4431e5c406d1e5f5c859cafe5ba22ed3654506be3d3a91db8d27abc"
     },
     {
-      "path": "data/train/numina-000345-0001-8075157fee0b0178.parquet",
-      "sha256": "8075157fee0b0178f594d05c3e4f9c5ccf7e2cb1dc1d1129ef06fe188328d325",
       "bytes": 323088,
+      "path": "data/train/pf6/numina-000345-0001-8075157fee0b0178.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "8075157fee0b0178f594d05c3e4f9c5ccf7e2cb1dc1d1129ef06fe188328d325"
     },
     {
-      "path": "data/internal_test/numina-000345-0000-b103ff96e153aa1c.parquet",
-      "sha256": "b103ff96e153aa1caa927f9314a44f86f493c84db428196c5aeec60dc27b0178",
       "bytes": 200604,
+      "path": "data/internal_test/pf6/numina-000345-0000-b103ff96e153aa1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "b103ff96e153aa1caa927f9314a44f86f493c84db428196c5aeec60dc27b0178"
     }
-  ],
-  "proof_ids": [
-    "numina:20ba34db-23f3-5102-8b1b-9709dfc06e8c",
-    "numina:27451282-ddb7-5ccb-bd72-9f67914a2b8d",
-    "numina:7c54a4a6-ac85-5e4d-ab23-b7905437a450",
-    "numina:cf0a0987-cc47-5c94-b9fd-e1260147e287"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001726.lean\",\"db5ee08fa4ac82c905ed3d6820788efc71edca95945e2ea638e4145d56ccb3c5\",0,\"algebra_207891\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001727.lean\",\"8eea45dedefc38e751a9200d706652b419a9448149e396aa35cae9946f95dbe7\",0,\"inequalities_208046\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001728.lean\",\"c666661dd18741b84cae2c6500a641e7eee1a361785d171c43fb52bf56cac471\",0,\"my_favorite_theorem\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001729.lean\",\"2fd7742360560094b49d38ada2db498957f774e940907995351ca92d469bfaa5\",0,\"algebra_208522\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000346.json b/manifests/batches/numina/000346.json
index 93cd6710b5cafeec1ead27662bd7c9e64e026178..6dcf6ef890449a42c8ef1cc4ee1526eb7c3fc4db 100644
--- a/manifests/batches/numina/000346.json
+++ b/manifests/batches/numina/000346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000346",
   "batch_fingerprint": "90d3fcc0a6718294f91dec0c0ae6535454eb0bfbe60304e98be11688e9129a37",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000346-0000-700c457994908c1e.parquet",
-      "sha256": "700c457994908c1ed3de6217161a26769b5e82e28b9cba3598786d5b1ffba819",
-      "bytes": 549279,
-      "rows": 49,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0aa28b98-c2f2-5137-8640-8d8fb1f9ff18",
     "numina:31dbf5c3-4626-5a1d-bc49-fc01874da10d",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001732.lean\",\"2d4862ba61b0d61117b5025038be709c4e5916354851b670d44bbe5b2e18799f\",0,\"number_theory_209357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001733.lean\",\"61145d2a13fff26959781a73634f03c2b93e41b00aaaa9945865692d9856973c\",0,\"number_theory_209507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001734.lean\",\"05b29a1716218e91a092651d4ee93c8e50b29987c36618fc93d85b7b0fc76499\",0,\"algebra_209626\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 549279,
+      "path": "data/train/paa/numina-000346-0000-700c457994908c1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "700c457994908c1ed3de6217161a26769b5e82e28b9cba3598786d5b1ffba819"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000347.json b/manifests/batches/numina/000347.json
index dabc4e093953f58481ec483e0027e4366749c275..14a519d041da4b0bc2d258347a59bcf077cfcd5b 100644
--- a/manifests/batches/numina/000347.json
+++ b/manifests/batches/numina/000347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000347",
   "batch_fingerprint": "dd9a4c3d7aac3bc254be99c87fb0b81ef9e2a81bec6e7d7e682854ea218fdceb",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000347-0000-09140b5cc47a5d20.parquet",
-      "sha256": "09140b5cc47a5d20567d2c3fd90848d675955d8f49a94a3cbf12f361677d5add",
-      "bytes": 419084,
-      "rows": 35,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:252f237a-e656-5524-869a-f4a4e5d6dc65",
     "numina:4ca4b2db-9222-5c7d-96ab-bc2de73863b6",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001736.lean\",\"bceb5544392908df89f54f8319470d00d8ed26cf9b1523f5542fbe8dae41e59c\",0,\"number_theory_210109\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001738.lean\",\"0471cac13fcbdddb0fbf4a1ee03033cd3c65d55b8278262349c710b468cb8ff4\",1,\"algebra_210643'\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001739.lean\",\"54d5df3b339ea51d53e649baf26e3eccf77297628cee1379d6c2149270f30c6f\",0,\"algebra_211041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419084,
+      "path": "data/train/p4b/numina-000347-0000-09140b5cc47a5d20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "09140b5cc47a5d20567d2c3fd90848d675955d8f49a94a3cbf12f361677d5add"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000348.json b/manifests/batches/numina/000348.json
index ab435f299ba9a734a73f2f5bb9544f984dea34b1..7c4a4f57bb9ccddd18cb53e89a5713e3a40daaf0 100644
--- a/manifests/batches/numina/000348.json
+++ b/manifests/batches/numina/000348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000348",
   "batch_fingerprint": "8e6cc1fc92fc2e41fdf03cf41ecc7c8381db7d0be85919005d735f5df974c27c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000348-0000-c6ab12c601940a0a.parquet",
-      "sha256": "c6ab12c601940a0afb33dcf76b6018044e5d1b77a819ad20f8e2d8885926b20d",
-      "bytes": 257919,
-      "rows": 46,
-      "revision": "394a94256af8855be49b28be979d66d52eb7be6a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bd5b1aa-3e7b-5ada-a21e-ef4db1589f28",
     "numina:1e511d63-ef8a-5cab-aa94-5b675edba7aa",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001742.lean\",\"8422a7e372ee82d39c918f488aa57fa2871fe2fd6dd3abf1ee4e58fd7f3f1e7c\",0,\"number_theory_211440\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001743.lean\",\"ed1c9027f96805766674064e42b3acf39d9c6b7110c41d07cfc89d861beb6055\",0,\"algebra_211550\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001744.lean\",\"b519d0cbffacbd6c0cc7c72b365b3162fd17b40ffc393d4b432d1a06fd2ccdc9\",0,\"algebra_211931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257919,
+      "path": "data/train/pe8/numina-000348-0000-c6ab12c601940a0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c6ab12c601940a0afb33dcf76b6018044e5d1b77a819ad20f8e2d8885926b20d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000349.json b/manifests/batches/numina/000349.json
index f731ad3b34e2fe535ac8c54ae79178cf6116f756..e6f470d281f2d2f03841ba2cea9f15bc1f6268b7 100644
--- a/manifests/batches/numina/000349.json
+++ b/manifests/batches/numina/000349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000349",
   "batch_fingerprint": "9925d3a08223434b7d4c6bfb9e32bf7b3cfc537a728c2a0adc27ecb367e3440d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000349-0000-83ada1e3f10157d4.parquet",
-      "sha256": "83ada1e3f10157d4ee9425402566b12c95d460122223b22db1787ccdee35e71f",
-      "bytes": 538765,
-      "rows": 17,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/train/numina-000349-0001-7b64b3f1e90d9352.parquet",
-      "sha256": "7b64b3f1e90d93524b1786aad5e6bc57debf4a727557f9f6756d2d94c60acf6d",
-      "bytes": 363159,
-      "rows": 47,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5e8d6751-4fdb-5ae9-b9e8-1a406c431eeb",
     "numina:679fc6f1-194d-5f1f-9ce1-10ddcda6ba8f",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001747.lean\",\"567177749a03f40dbafed648dfccdf799a5b956dd6d3dc5ad0097999e91b3290\",0,\"algebra_213460\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001748.lean\",\"3c5bc9fc34a49d2b0b5eff7c452ad0b5f09b0cb7a7b7651a15db712dda463f2b\",0,\"inequalities_213857\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001749.lean\",\"a2111fb24d58f648a1c0f8eb672697e863617d56053c4c7d817bfd7dadfdb7fa\",1,\"algebra_214020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 538765,
+      "path": "data/train/p7f/numina-000349-0000-83ada1e3f10157d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "83ada1e3f10157d4ee9425402566b12c95d460122223b22db1787ccdee35e71f"
+    },
+    {
+      "bytes": 363159,
+      "path": "data/train/p7f/numina-000349-0001-7b64b3f1e90d9352.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "7b64b3f1e90d93524b1786aad5e6bc57debf4a727557f9f6756d2d94c60acf6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000350.json b/manifests/batches/numina/000350.json
index 9fa6edcf44ee9efbee4bd1f92fd3a324bf58e9e4..094634ac284fd85d9c5f8feb83955dcb75bcde49 100644
--- a/manifests/batches/numina/000350.json
+++ b/manifests/batches/numina/000350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000350",
   "batch_fingerprint": "9f71a65881bf07f0fc0c8d1ca4257eae462fa27a9dd0e8c63ba0b96f58d7140c",
   "evidence": {
@@ -82,22 +81,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000350-0000-511e3a1d00dae318.parquet",
-      "sha256": "511e3a1d00dae318d04ed18f1f2ffbcf3dc520c168d828f1fa23f5a2cc080950",
-      "bytes": 48724,
-      "rows": 4,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/internal_test/numina-000350-0000-c3cc4e9994fec852.parquet",
-      "sha256": "c3cc4e9994fec852bba0eaf62abb26fd504bbb8d777ab7432f64d6ba18db0aa9",
-      "bytes": 41468,
-      "rows": 8,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a0677a6-eb6d-59b7-a15c-4914fdec453f",
     "numina:2d7447d9-a9c1-5554-a81c-e3e406dd4196",
@@ -107,5 +91,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001750.lean\",\"bee29350abadd2d9e965da793e783f5727230bee2ed73d6f175878977bbc831f\",11,\"number_theory_214215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001753.lean\",\"629639041b6654925848a2ecc40a03c10236088bacb7efc200742eda58e3a1f9\",0,\"number_theory_214766\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001754.lean\",\"ba7aa5ba906698c7929ae2534f65bd792bd13c64bc2f3d68de032abd4b98d13a\",0,\"algebra_215003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48724,
+      "path": "data/train/p7c/numina-000350-0000-511e3a1d00dae318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "511e3a1d00dae318d04ed18f1f2ffbcf3dc520c168d828f1fa23f5a2cc080950"
+    },
+    {
+      "bytes": 41468,
+      "path": "data/internal_test/p7c/numina-000350-0000-c3cc4e9994fec852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c3cc4e9994fec852bba0eaf62abb26fd504bbb8d777ab7432f64d6ba18db0aa9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000351.json b/manifests/batches/numina/000351.json
index 5ad9899ebdbcae626199e86dcefddd676a9141c1..8680d6ab50db2ae62a2c2177c3390d204d55332c 100644
--- a/manifests/batches/numina/000351.json
+++ b/manifests/batches/numina/000351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000351",
   "batch_fingerprint": "0cda649fa5259eab9817ce461b2e7091ec15a457e6dd78d01f7f26182f29c17b",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:315e37f7-cccc-5868-8584-c932693c1946",
+    "numina:769c46c4-eaca-5d37-b918-510cb8510593",
+    "numina:96d8abf1-997a-5648-8269-8d086573bcc6",
+    "numina:fda8809f-d1ad-5465-b258-48e3e0d7d93a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001755.lean\",\"4710975c92458eee71e69cd1baf1b56e906cf5d845456440eed095a1a018f987\",0,\"algebra_215098\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001756.lean\",\"a766b762a057eb3feb39f6ff43788ed81cf4f4f5651d0cc4340b0e22cfce0d26\",0,\"inequalities_215140\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001758.lean\",\"809efddf6d42cd6dd909b5757c905f640b56d9cec1a64d720ed525a77d631862\",0,\"algebra_215519\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001759.lean\",\"c2760974e704699c4a918912e030d0c09367ea49babce8bf53c5907f9b2b82c2\",0,\"algebra_215890\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000351-0000-477b40af0f15d063.parquet",
-      "sha256": "477b40af0f15d063c08db0c35b17e55bf31559a6cf2d24dadab580efd1ca109d",
       "bytes": 779751,
+      "path": "data/train/p39/numina-000351-0000-477b40af0f15d063.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "477b40af0f15d063c08db0c35b17e55bf31559a6cf2d24dadab580efd1ca109d"
     },
     {
-      "path": "data/train/numina-000351-0001-af5c4dcd2d304c8f.parquet",
-      "sha256": "af5c4dcd2d304c8f871596406534965e27bb427ba8a8611bece2dbf05f0a435b",
       "bytes": 455014,
+      "path": "data/train/p39/numina-000351-0001-af5c4dcd2d304c8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "af5c4dcd2d304c8f871596406534965e27bb427ba8a8611bece2dbf05f0a435b"
     },
     {
-      "path": "data/internal_test/numina-000351-0000-6aaea086f613192c.parquet",
-      "sha256": "6aaea086f613192cce192a483c165ec247a8897e90c4b5e377bc1079f310175d",
       "bytes": 74472,
+      "path": "data/internal_test/p39/numina-000351-0000-6aaea086f613192c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "6aaea086f613192cce192a483c165ec247a8897e90c4b5e377bc1079f310175d"
     }
-  ],
-  "proof_ids": [
-    "numina:315e37f7-cccc-5868-8584-c932693c1946",
-    "numina:769c46c4-eaca-5d37-b918-510cb8510593",
-    "numina:96d8abf1-997a-5648-8269-8d086573bcc6",
-    "numina:fda8809f-d1ad-5465-b258-48e3e0d7d93a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001755.lean\",\"4710975c92458eee71e69cd1baf1b56e906cf5d845456440eed095a1a018f987\",0,\"algebra_215098\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001756.lean\",\"a766b762a057eb3feb39f6ff43788ed81cf4f4f5651d0cc4340b0e22cfce0d26\",0,\"inequalities_215140\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001758.lean\",\"809efddf6d42cd6dd909b5757c905f640b56d9cec1a64d720ed525a77d631862\",0,\"algebra_215519\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001759.lean\",\"c2760974e704699c4a918912e030d0c09367ea49babce8bf53c5907f9b2b82c2\",0,\"algebra_215890\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000352.json b/manifests/batches/numina/000352.json
index fe7439ac2096c9c536ed8b76fabf54ef43cc1cfa..9315014228222394e16f751d9f829f0d37401f8c 100644
--- a/manifests/batches/numina/000352.json
+++ b/manifests/batches/numina/000352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000352",
   "batch_fingerprint": "9cc67b60d0bbbaf8c5d296d74c60e2bbcff32fe69d5ec1a7abd4dd7a729f9a0c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000352-0000-b75e3541b8aeeba7.parquet",
-      "sha256": "b75e3541b8aeeba7ddf411ff417db25ecc23b9d2e6a6d9956ba16352a1d52bd3",
-      "bytes": 360546,
-      "rows": 39,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:101eed20-ab72-5fcc-b5e4-b8343feb3a9b",
     "numina:253f8057-6e88-534e-959c-bc464ea23da3",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001762.lean\",\"f471cc227acfba4defeb1455e02c20cd78654aa49bc4ca0134a90384e8201489\",0,\"algebra_216228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001763.lean\",\"daa7ac2a86b3444784219bb4b8ff55bf542f4e3b45b795df2deaecb01e227be6\",1,\"algebra_216466\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001764.lean\",\"26c4af9f8ca23833b4e278d3294b5bce4f7241e6ee0720fb7c5507feed11c04e\",0,\"algebra_216783\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360546,
+      "path": "data/train/p8f/numina-000352-0000-b75e3541b8aeeba7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "b75e3541b8aeeba7ddf411ff417db25ecc23b9d2e6a6d9956ba16352a1d52bd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000353.json b/manifests/batches/numina/000353.json
index 6155d6634c25b24119e3e71331a3bd1c8aa96ad5..9b7ec1077104f7ea860fc30d70a66947ac3ab1fc 100644
--- a/manifests/batches/numina/000353.json
+++ b/manifests/batches/numina/000353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000353",
   "batch_fingerprint": "56e75baf61d901666f457e6aee64f1582e6a98fc12d44be30962b0ca267fe23b",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000353-0000-3cb5a41a7a852dfa.parquet",
-      "sha256": "3cb5a41a7a852dfa440abc813fe2801883e950b63cab038bb7985295c67f586d",
-      "bytes": 632529,
-      "rows": 67,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/train/numina-000353-0001-b3405c785aa4b160.parquet",
-      "sha256": "b3405c785aa4b1601a18a33e3515b8c175aa40eb187f80eabce16ef6e6932a73",
-      "bytes": 211113,
-      "rows": 2,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/internal_test/numina-000353-0000-5e8ad4b28695418e.parquet",
-      "sha256": "5e8ad4b28695418eabf4ca88e3f5e611d74d349f3b1ebda93a5bd58d20dae5af",
-      "bytes": 348573,
-      "rows": 54,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d187f13-e1f3-5bcf-b35c-2bfa6dce5221",
     "numina:2aa38755-286f-54a3-9f76-0bfbaa4073d5",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001767.lean\",\"686ad5dd0b31b947b1e733969f977bf029f59feb5078c708c732b2eb45e1d0b9\",0,\"algebra_217121\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001768.lean\",\"4d273b19f47459efe42a8620b45b0b5f34b1829c2a298bdf15308488fce77555\",0,\"algebra_217209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001769.lean\",\"8e6a99d849f96f8252ca161a8f9763fd3bb9f723d32e67bd1f1b78b9e8d43787\",2,\"algebra_217955\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 632529,
+      "path": "data/train/p0c/numina-000353-0000-3cb5a41a7a852dfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "3cb5a41a7a852dfa440abc813fe2801883e950b63cab038bb7985295c67f586d"
+    },
+    {
+      "bytes": 211113,
+      "path": "data/train/p0c/numina-000353-0001-b3405c785aa4b160.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b3405c785aa4b1601a18a33e3515b8c175aa40eb187f80eabce16ef6e6932a73"
+    },
+    {
+      "bytes": 348573,
+      "path": "data/internal_test/p0c/numina-000353-0000-5e8ad4b28695418e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "5e8ad4b28695418eabf4ca88e3f5e611d74d349f3b1ebda93a5bd58d20dae5af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000354.json b/manifests/batches/numina/000354.json
index 0f4c2999a218c9c1054b65d598a81e39fcc23978..f1c8ce54bd27530f726968a014afeafe5b6cb23f 100644
--- a/manifests/batches/numina/000354.json
+++ b/manifests/batches/numina/000354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000354",
   "batch_fingerprint": "a23d0b60e38c6430c61fe1d2232dccfbdd31736560907b2e824aeb4fe18cd8eb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000354-0000-b04ded4d6dbc6d98.parquet",
-      "sha256": "b04ded4d6dbc6d9805f7eba30936fcc9a94fc36506ebb1ef4e622027718b2e06",
-      "bytes": 765558,
-      "rows": 36,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    },
-    {
-      "path": "data/dev/numina-000354-0000-1f8653dc09bb5a70.parquet",
-      "sha256": "1f8653dc09bb5a70660f0db3ae3c5ac297090e561a54f08e7ad7516900a04f3c",
-      "bytes": 229910,
-      "rows": 3,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:70ba7d47-6fb7-54df-b04a-186cd0373b26",
     "numina:ae87948b-5ce3-5d90-8935-d396b0d4ee93",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001772.lean\",\"fe6bbcf00ef22200321be34d5fe133a0543cca8219fe05503c00df5ee7106366\",1,\"number_theory_218117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001773.lean\",\"ed20afdff407ad3838437de397184a01643e5ca830712af3db56c28784db56ce\",1,\"inequalities_218478\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001774.lean\",\"aaee76048e6ca09e0c51365a3e56cd4a7fca5999f3362aed23db47eca5fc3bcc\",0,\"algebra_218542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 765558,
+      "path": "data/train/p9e/numina-000354-0000-b04ded4d6dbc6d98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b04ded4d6dbc6d9805f7eba30936fcc9a94fc36506ebb1ef4e622027718b2e06"
+    },
+    {
+      "bytes": 229910,
+      "path": "data/dev/p9e/numina-000354-0000-1f8653dc09bb5a70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1f8653dc09bb5a70660f0db3ae3c5ac297090e561a54f08e7ad7516900a04f3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000355.json b/manifests/batches/numina/000355.json
index 3ddff8c88e4df993c69b324bbce239609ee3db92..7fa8a1c46aad8d91ac100582e0a730d6fb9cadc0 100644
--- a/manifests/batches/numina/000355.json
+++ b/manifests/batches/numina/000355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000355",
   "batch_fingerprint": "2323a9d73b35537d0a2a6c70f6c76f6d6a37019822b9488043df4d1913701ef1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000355-0000-6ad7738b012ca427.parquet",
-      "sha256": "6ad7738b012ca427174a170baebb0ca01c0535035f8134392935a6d576c2ceca",
-      "bytes": 512466,
-      "rows": 24,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/dev/numina-000355-0000-db183a43362693ba.parquet",
-      "sha256": "db183a43362693baaa06e88281501e522576c961f44da8f82ec9de72213ff449",
-      "bytes": 88300,
-      "rows": 5,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e41803c-cab1-599d-8be5-b2ffbbffc2d1",
     "numina:5df777ce-0813-5cb2-9dfb-60358bfef544",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001777.lean\",\"015932765b13b9897a13596cf61a15ad4eafbb5c0412c3f73f51b64c4a9a7648\",11,\"algebra_219068\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001778.lean\",\"dbc74f1dfb93a348d1408284fb14ac59dee56f086c746b7d03058085b77aca93\",0,\"number_theory_144357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001779.lean\",\"e490227d27929701d9bec9097ffce3e501aeed43d878a481db2a95a9aa3b81d3\",0,\"number_theory_219381\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512466,
+      "path": "data/train/p05/numina-000355-0000-6ad7738b012ca427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6ad7738b012ca427174a170baebb0ca01c0535035f8134392935a6d576c2ceca"
+    },
+    {
+      "bytes": 88300,
+      "path": "data/dev/p05/numina-000355-0000-db183a43362693ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "db183a43362693baaa06e88281501e522576c961f44da8f82ec9de72213ff449"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000356.json b/manifests/batches/numina/000356.json
index 1906755dcd5fd2cb3db8f7e460994a436348fb94..ab7b9c0ac5bcceb48dc30bc555c37d2f37adcf7f 100644
--- a/manifests/batches/numina/000356.json
+++ b/manifests/batches/numina/000356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000356",
   "batch_fingerprint": "77464a7ecb05a124eeccb30d7de1797d346f70ee5d2bd0223b129d9db0d4690e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000356-0000-2a9b3f7d094ad366.parquet",
-      "sha256": "2a9b3f7d094ad366b5f2d7ca7ac4e0321afb845f772f8bbd18bce44dd198fe9d",
-      "bytes": 236691,
-      "rows": 23,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    },
-    {
-      "path": "data/internal_test/numina-000356-0000-061140a26a44f711.parquet",
-      "sha256": "061140a26a44f711a15d43db6bc59721b6d796b7df2efa137754baa7e4e9f795",
-      "bytes": 98940,
-      "rows": 13,
-      "revision": "7ee5fac5834126885806b5cae306bc90227e4ec2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14ad3fcd-6eb5-5463-83d5-9e53d7ce1d03",
     "numina:8d0120cb-67c8-55d6-9917-01e9e7b666ad",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001782.lean\",\"27fd82c539ebf0e981801069fe76051e71047064ab209c08b6c592bc811a465b\",0,\"number_theory_219619\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001783.lean\",\"8cf014e72c8cce36e9765620700b69ab544e4c8e35fe45206789b7f1ead30f79\",0,\"algebra_219817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001784.lean\",\"aae2640a43f05c6f79f04ab25d41529a09f323d036f1a3ee53ae74edded7891e\",3,\"inequalities_220049\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236691,
+      "path": "data/train/pa8/numina-000356-0000-2a9b3f7d094ad366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2a9b3f7d094ad366b5f2d7ca7ac4e0321afb845f772f8bbd18bce44dd198fe9d"
+    },
+    {
+      "bytes": 98940,
+      "path": "data/internal_test/pa8/numina-000356-0000-061140a26a44f711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "061140a26a44f711a15d43db6bc59721b6d796b7df2efa137754baa7e4e9f795"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000357.json b/manifests/batches/numina/000357.json
index 8840af95cf81ff8053f3ab2ccce549deb6aa3304..3e725fd92b0b7ff1412ebc02231c53dca6c428d7 100644
--- a/manifests/batches/numina/000357.json
+++ b/manifests/batches/numina/000357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000357",
   "batch_fingerprint": "7d011b21d3a3d2ad580c70f26b542ced1d724aba5ee3c845d1ab324a5523693b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000357-0000-a152795a99ef4256.parquet",
-      "sha256": "a152795a99ef4256304ab65214109333849204a0a500c121fbc450532cc0d617",
-      "bytes": 157981,
-      "rows": 18,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/internal_test/numina-000357-0000-48dfaa5dc47dd603.parquet",
-      "sha256": "48dfaa5dc47dd603d5cc637d052c1783f71573b86cf539776dd6c6e06605857e",
-      "bytes": 305911,
-      "rows": 32,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1be9f1ea-c93e-5119-b014-a7291c2b5030",
     "numina:4c454dcc-9795-50de-b588-add8b25c0b90",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001787.lean\",\"4026988a7e48f5a6c02ad0c1c842892e13a21816c5ffa912561a9be735ef712f\",0,\"number_theory_222156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001788.lean\",\"815834cb33d3f45214377c0ec4927b0b997acceebe1a2bf92ab6fbdaf82f9f19\",0,\"number_theory_222398\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001789.lean\",\"4b96d56d7f02489b0d968823b4734f931034cad9ebf4c290cd23fca79fafab4a\",0,\"number_theory_222434\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157981,
+      "path": "data/train/p43/numina-000357-0000-a152795a99ef4256.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a152795a99ef4256304ab65214109333849204a0a500c121fbc450532cc0d617"
+    },
+    {
+      "bytes": 305911,
+      "path": "data/internal_test/p43/numina-000357-0000-48dfaa5dc47dd603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "48dfaa5dc47dd603d5cc637d052c1783f71573b86cf539776dd6c6e06605857e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000358.json b/manifests/batches/numina/000358.json
index 3f4af49b8ef6a7b4c4033c2b2a8ec2008f0de0d7..a86e5184bd855aa5afaa5ea3a9918e99e9cd0e87 100644
--- a/manifests/batches/numina/000358.json
+++ b/manifests/batches/numina/000358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000358",
   "batch_fingerprint": "5c280f8eb06db5f5c3ab723ac22a19a68215c72de92a26468e8b347efde3bd8d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000358-0000-ab1682e81b4a5a7d.parquet",
-      "sha256": "ab1682e81b4a5a7df1734f63b709c27e42f0a0a788146d0e7b4a15ebe3fdf902",
-      "bytes": 712283,
-      "rows": 18,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/train/numina-000358-0001-6890b9c84d9b59c1.parquet",
-      "sha256": "6890b9c84d9b59c1c514cf393a22d946bddf06555162a54ab12d0e7dfa0e1a94",
-      "bytes": 446090,
-      "rows": 8,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0cb93986-c407-5e7d-90cb-2f40a494fcca",
     "numina:1d641370-2387-5add-8cc5-2bfd15e8853c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001792.lean\",\"258fdeb89e6263697e4531d0a00424cf3c584fe3a359b8e0501e970bcea49310\",0,\"algebra_223098\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001793.lean\",\"e08055e1c3e229ea84987d74ae415dfd7dca286dcf584a41abe61128bac53f82\",0,\"number_theory_223203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001794.lean\",\"438420599e90a4768b99118564aa2581d3edc9ac9d704a270d7a5f6e90ee315b\",0,\"algebra_223772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 712283,
+      "path": "data/train/pff/numina-000358-0000-ab1682e81b4a5a7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ab1682e81b4a5a7df1734f63b709c27e42f0a0a788146d0e7b4a15ebe3fdf902"
+    },
+    {
+      "bytes": 446090,
+      "path": "data/train/pff/numina-000358-0001-6890b9c84d9b59c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6890b9c84d9b59c1c514cf393a22d946bddf06555162a54ab12d0e7dfa0e1a94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000359.json b/manifests/batches/numina/000359.json
index a7057eb5e7617c737a9e114b0eac99279912eb6d..a031bd2327e484889e91d5f6a1cf053ce951a027 100644
--- a/manifests/batches/numina/000359.json
+++ b/manifests/batches/numina/000359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000359",
   "batch_fingerprint": "6c04ec45b1c693def6d1e2253bfd4acce44264d7f9d5fb02ef0b1011cd022dae",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000359-0000-d1db3ade268c438f.parquet",
-      "sha256": "d1db3ade268c438fe373aced8ff1b826060c1e69d78002cee1c67cb155dd8af8",
-      "bytes": 92945,
-      "rows": 15,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/internal_test/numina-000359-0000-3109ce1cbd090b9d.parquet",
-      "sha256": "3109ce1cbd090b9d68903577f37cd424ea4bc33b379f7c74996f1703b299e256",
-      "bytes": 421993,
-      "rows": 35,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/internal_test/numina-000359-0001-5ceef1b390981d30.parquet",
-      "sha256": "5ceef1b390981d30878695b01228ba62386286033431a296cb8efcc146ae2282",
-      "bytes": 299358,
-      "rows": 1,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0897df2a-1923-5e36-9904-1b25d36e7f8a",
     "numina:597e752e-b2a0-56f0-a1be-af96cc5af9ac",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001797.lean\",\"24eb5a332d9963eb8db7d6946d6d166abdd9df344a00debfe081c11382d4260a\",0,\"number_theory_224437\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001798.lean\",\"0c58cce583ca88ccf0158b76aa15a7c7328468665ad349984c0327e6e5cbc2f5\",0,\"inequalities_224831\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001799.lean\",\"360694e78e65ad04e8d99c5d63c2864fbfaa4a804a14cc6a92532650b63376b2\",2,\"inequalities_224873\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92945,
+      "path": "data/train/p44/numina-000359-0000-d1db3ade268c438f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d1db3ade268c438fe373aced8ff1b826060c1e69d78002cee1c67cb155dd8af8"
+    },
+    {
+      "bytes": 421993,
+      "path": "data/internal_test/p44/numina-000359-0000-3109ce1cbd090b9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "3109ce1cbd090b9d68903577f37cd424ea4bc33b379f7c74996f1703b299e256"
+    },
+    {
+      "bytes": 299358,
+      "path": "data/internal_test/p44/numina-000359-0001-5ceef1b390981d30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5ceef1b390981d30878695b01228ba62386286033431a296cb8efcc146ae2282"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000360.json b/manifests/batches/numina/000360.json
index b728131273832e23288527979d352835f5ba9b0c..8e37b16b4d1c94c7fd454b32848ef749b81e3170 100644
--- a/manifests/batches/numina/000360.json
+++ b/manifests/batches/numina/000360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000360",
   "batch_fingerprint": "d260e6ae3a2b8f931c029868513c1b35645685a2578b7466fecc654465c6fb7f",
   "evidence": {
@@ -60,22 +59,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000360-0000-e9cd0f472a6c46f8.parquet",
-      "sha256": "e9cd0f472a6c46f8325ec235bf02b7e4a0e32db8c440451785ef77245bb16da8",
-      "bytes": 224837,
-      "rows": 34,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/internal_test/numina-000360-0000-94539df6322a665a.parquet",
-      "sha256": "94539df6322a665af4a5e44d0565fdd2ee1ace9b556b4b4a610b64f0082a676c",
-      "bytes": 148723,
-      "rows": 20,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1172a86a-293b-522c-a904-d5882af46aac",
     "numina:470087ba-8070-5a55-949d-8d1e4f32d6cf",
@@ -87,5 +71,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001802.lean\",\"363f5b4199c34c8b68e553cf63a961e7b341da64cddd8d2d4141087c6667ecca\",3,\"algebra_225556\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001803.lean\",\"28c9a10537cef621490b68df5e46fab2f5b594c991af0c0fe2d8a44dbe47c77a\",8,\"algebra_225644\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001804.lean\",\"ae57daed8b6d97d3feae365c7c130b68a40bb46d663b0b3c43eea17862fc03a9\",4,\"number_theory_225950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224837,
+      "path": "data/train/p65/numina-000360-0000-e9cd0f472a6c46f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e9cd0f472a6c46f8325ec235bf02b7e4a0e32db8c440451785ef77245bb16da8"
+    },
+    {
+      "bytes": 148723,
+      "path": "data/internal_test/p65/numina-000360-0000-94539df6322a665a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "94539df6322a665af4a5e44d0565fdd2ee1ace9b556b4b4a610b64f0082a676c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000361.json b/manifests/batches/numina/000361.json
index aaf7b9d2ef07c938c360863293d960737c3664a7..117d2a32abe4443958b0a12432fabb7eef64edfa 100644
--- a/manifests/batches/numina/000361.json
+++ b/manifests/batches/numina/000361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000361",
   "batch_fingerprint": "cf112104565f58dbc1fe2355d0362cb42b389f43c9e4773cd2d79c53310bb609",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000361-0000-e62b200b745a6f55.parquet",
-      "sha256": "e62b200b745a6f557b85ac456088185a60cb9c379954a77bfa14e32875882a9f",
-      "bytes": 1072589,
-      "rows": 26,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/train/numina-000361-0001-73d1f2d8fe6cd9bb.parquet",
-      "sha256": "73d1f2d8fe6cd9bbcd326d586318a0a04647997ea9bed6e138831f913d5e7a70",
-      "bytes": 576422,
-      "rows": 27,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:128666d7-96ae-5d7b-9b5a-e3ccd2edf30e",
     "numina:1b054fd8-f1c8-525d-a950-1e2e908d7157",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001807.lean\",\"e384e5f49697be4a660ec4f4382e2ac6a82f5284761957b7ab49794e6b03ab0f\",0,\"number_theory_226605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001808.lean\",\"585c63a247f6218bd44e1e26f9f546cd27ae492ed6cc1f82b593276502159883\",0,\"inequalities_226874\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001809.lean\",\"cb17d0783e9d4e0b1f2c0f64f7c3121891739b76892f6fa3aa1e7e0ba4986722\",0,\"algebra_227266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1072589,
+      "path": "data/train/p07/numina-000361-0000-e62b200b745a6f55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e62b200b745a6f557b85ac456088185a60cb9c379954a77bfa14e32875882a9f"
+    },
+    {
+      "bytes": 576422,
+      "path": "data/train/p07/numina-000361-0001-73d1f2d8fe6cd9bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "73d1f2d8fe6cd9bbcd326d586318a0a04647997ea9bed6e138831f913d5e7a70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000362.json b/manifests/batches/numina/000362.json
index b1aa259cb39f0c0eba5e5bbe293f73f71d9d927d..c3496bd014203adb2b7171fb19bd8d23170d11d0 100644
--- a/manifests/batches/numina/000362.json
+++ b/manifests/batches/numina/000362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000362",
   "batch_fingerprint": "f833f470d5d866217e3f7bb4b196654b0cdc218566a284de08ab1ef12db1e7fb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000362-0000-22f91d993febbb3b.parquet",
-      "sha256": "22f91d993febbb3becfb061a7d617a546bcf8f4a89a15905739fb4f263e1803b",
-      "bytes": 341838,
-      "rows": 40,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    },
-    {
-      "path": "data/dev/numina-000362-0000-c171daa68a59da1b.parquet",
-      "sha256": "c171daa68a59da1bf089f8d94dc58f5356bccae38a6369b2d57050f812f55d69",
-      "bytes": 97339,
-      "rows": 15,
-      "revision": "834813777f60ff9cae23d03c6848663c2e33ab2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4eba084d-df90-5f0d-bea7-ce656094f79d",
     "numina:5ba46966-9878-5f81-8ac1-485cb3ca984d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001812.lean\",\"1b23074ef7d0e45e2cdb0cb5b8b29086b5e22c37ac45b40210d2cadb70a91849\",0,\"number_theory_227688\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001813.lean\",\"d75343b4dbd2ca6836c5d5109db140d5c41bd59a3f86253d07d0b6ed13a65f0e\",0,\"number_theory_228146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001814.lean\",\"fe72b84134942d5ffbe3a7303e36750ce4838bb0f879b1abc5a84d8565571a9b\",0,\"algebra_228296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341838,
+      "path": "data/train/p91/numina-000362-0000-22f91d993febbb3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "22f91d993febbb3becfb061a7d617a546bcf8f4a89a15905739fb4f263e1803b"
+    },
+    {
+      "bytes": 97339,
+      "path": "data/dev/p91/numina-000362-0000-c171daa68a59da1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c171daa68a59da1bf089f8d94dc58f5356bccae38a6369b2d57050f812f55d69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000363.json b/manifests/batches/numina/000363.json
index 08b7e6eaf9e776fb0ffe7748d6869bead28c39ba..813a6a8b5076f682235bfcf2f50d67aeefb855e4 100644
--- a/manifests/batches/numina/000363.json
+++ b/manifests/batches/numina/000363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000363",
   "batch_fingerprint": "0e587f3e3c1a02891f2eb1b43a32df309cb0aade48a7c42c6dccec2523a5091a",
   "evidence": {
@@ -39,39 +38,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:111a45c6-9937-5402-a04f-ff02e20a5090",
+    "numina:49e9fda1-9b18-516e-8c6d-20b35252798a",
+    "numina:7151abc8-34af-506d-adc2-66d688d46198",
+    "numina:efdb5827-069a-5258-80d8-7b4b6fda1716"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001815.lean\",\"ff73229205ab0b0891fe4474b28d335f2e5aebc1b38124c34535a1d1a1923d7b\",0,\"number_theory_228453\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001816.lean\",\"00e568c43be0bfecbd7fecb32bba21ed3666d6dad8c4f617039aa668066ed54e\",0,\"number_theory_228539\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001817.lean\",\"83a24ec45e5294cbadf23aab655b1dfaef2d0f2c4392882ed10df8b07028d3a0\",0,\"calculus_229334\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001819.lean\",\"09576f44854189036fc1a2a62b8869bc5815f4cfe3536fbe7abeb4d65bf39f1a\",6,\"inequalities_229514\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000363-0000-bb11cde35f9f4030.parquet",
-      "sha256": "bb11cde35f9f4030e4fbd4d529de9aa194652a5ac46f8379b7ae62fb435d7982",
       "bytes": 219089,
+      "path": "data/train/pf8/numina-000363-0000-bb11cde35f9f4030.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 35,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "bb11cde35f9f4030e4fbd4d529de9aa194652a5ac46f8379b7ae62fb435d7982"
     },
     {
-      "path": "data/train/numina-000363-0001-505e5146462530b5.parquet",
-      "sha256": "505e5146462530b530808ec09b19906108a88be302e777d5c5d7f357848b7b68",
       "bytes": 1282891,
+      "path": "data/train/pf8/numina-000363-0001-505e5146462530b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "505e5146462530b530808ec09b19906108a88be302e777d5c5d7f357848b7b68"
     },
     {
-      "path": "data/internal_test/numina-000363-0000-00487be4aef3f311.parquet",
-      "sha256": "00487be4aef3f311ac2e5fde4155f2a0e872292427dfef8d85d3622453425b6d",
       "bytes": 164729,
+      "path": "data/internal_test/pf8/numina-000363-0000-00487be4aef3f311.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
+      "sha256": "00487be4aef3f311ac2e5fde4155f2a0e872292427dfef8d85d3622453425b6d"
     }
-  ],
-  "proof_ids": [
-    "numina:111a45c6-9937-5402-a04f-ff02e20a5090",
-    "numina:49e9fda1-9b18-516e-8c6d-20b35252798a",
-    "numina:7151abc8-34af-506d-adc2-66d688d46198",
-    "numina:efdb5827-069a-5258-80d8-7b4b6fda1716"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001815.lean\",\"ff73229205ab0b0891fe4474b28d335f2e5aebc1b38124c34535a1d1a1923d7b\",0,\"number_theory_228453\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001816.lean\",\"00e568c43be0bfecbd7fecb32bba21ed3666d6dad8c4f617039aa668066ed54e\",0,\"number_theory_228539\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001817.lean\",\"83a24ec45e5294cbadf23aab655b1dfaef2d0f2c4392882ed10df8b07028d3a0\",0,\"calculus_229334\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001819.lean\",\"09576f44854189036fc1a2a62b8869bc5815f4cfe3536fbe7abeb4d65bf39f1a\",6,\"inequalities_229514\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000364.json b/manifests/batches/numina/000364.json
index b83cb0f883ede9a6d85005af0456752ee891a268..4ca8d217e77ff857addccc1c597a7d714f57bc65 100644
--- a/manifests/batches/numina/000364.json
+++ b/manifests/batches/numina/000364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000364",
   "batch_fingerprint": "402736f6e1ad0df132d07f2b099cf8241882a7d6afd3526aad24c8e82fdcafe1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000364-0000-6d75529229938394.parquet",
-      "sha256": "6d75529229938394070e429f394990634ab6a3428668fd69b289e4da6209a6f6",
-      "bytes": 244204,
-      "rows": 22,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    },
-    {
-      "path": "data/internal_test/numina-000364-0000-0da8cd164dd13aaf.parquet",
-      "sha256": "0da8cd164dd13aaf421abc2926df858e5c3883dd2af7053264e4219b42c5d57d",
-      "bytes": 44645,
-      "rows": 5,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fec759e-c84e-5a21-ad31-2943ad1dbb36",
     "numina:4182eb41-de80-5ad0-9391-56b2738f64c6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001822.lean\",\"0de811b72baf3269da363d9b185de8ed0a6410e53980eff69b4b873908163335\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001823.lean\",\"5bc0a7663aad583f09652112a671186e6b36d55304be161ddab4925a3fa98467\",2,\"calculus_230040\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001824.lean\",\"31070afdd7dcd778dd53eec2232395953ae1f2921dd37aabe55223b5d161c558\",2,\"algebra_230093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244204,
+      "path": "data/train/p3d/numina-000364-0000-6d75529229938394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6d75529229938394070e429f394990634ab6a3428668fd69b289e4da6209a6f6"
+    },
+    {
+      "bytes": 44645,
+      "path": "data/internal_test/p3d/numina-000364-0000-0da8cd164dd13aaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0da8cd164dd13aaf421abc2926df858e5c3883dd2af7053264e4219b42c5d57d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000365.json b/manifests/batches/numina/000365.json
index acee9a687ccf6b29c9b9d2ede5f6b57c17a2f056..8ce43a2339ac031dc14f5428ca7872ae22fcc4e5 100644
--- a/manifests/batches/numina/000365.json
+++ b/manifests/batches/numina/000365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000365",
   "batch_fingerprint": "650e3f8f8d6c0a313aadc442af66afc2e9251a1f02cfb17aef10449fc30af320",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000365-0000-d322ce322e1ff68c.parquet",
-      "sha256": "d322ce322e1ff68c703bca1e7245f97ce9140960b1b50480125bad8aab691842",
-      "bytes": 476238,
-      "rows": 56,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c2885ee-6bef-55d9-ac86-85d189a0674b",
     "numina:4ee3bd7c-158d-5e89-a390-1771e99a7b85",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001827.lean\",\"68c091455457ad06f8248aacb39ee8099ab86e2c906aa9f6f55985fd885f42c7\",0,\"number_theory_230387\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001828.lean\",\"e392b000da5029a8b313f80e4118f2167b3b80bd200dceb2cd9acfd7b066180b\",0,\"algebra_230433\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001829.lean\",\"88059bcb6aa88a01cfde4ffba74ec5c353de91a891f2440cc18eab059e10965e\",0,\"number_theory_230602\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476238,
+      "path": "data/train/p70/numina-000365-0000-d322ce322e1ff68c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "d322ce322e1ff68c703bca1e7245f97ce9140960b1b50480125bad8aab691842"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000366.json b/manifests/batches/numina/000366.json
index cc335d50304ef508e72c8c59579b6ca4a7cf2835..fa3d44e895700756e99316883127075715486d54 100644
--- a/manifests/batches/numina/000366.json
+++ b/manifests/batches/numina/000366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000366",
   "batch_fingerprint": "a209ccec658da6829a2cd9a2c25ebe36804e00ef4ddf443e09e361549b5a3197",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000366-0000-3f73354dd3bf8c0c.parquet",
-      "sha256": "3f73354dd3bf8c0cbba53e8f9e41af865b8e39bb3d7aef59cd05a7dce9e643dc",
-      "bytes": 348448,
-      "rows": 17,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    },
-    {
-      "path": "data/internal_test/numina-000366-0000-d08810d7ab7ae8e8.parquet",
-      "sha256": "d08810d7ab7ae8e8462f107b1cb162713bbdd363782936df0416b6d88615a822",
-      "bytes": 155740,
-      "rows": 15,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:122ff534-748a-5fc1-9ebe-67151d7e3a3f",
     "numina:370e94be-381c-5543-8de3-60b50e2f5d5d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001832.lean\",\"a5f8395f7dd8c144fdc6a9f43fcacc53507e17dded10b8975917af4e54bff2c8\",0,\"number_theory_231458\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001833.lean\",\"1c87569002e68a359f0d18d8c1eb8b05e0fe23e5263ef89397a2a07bce88a4e3\",1,\"algebra_231685\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001834.lean\",\"da8886627098ef7f32a954e121142586b889bdecde154fe6ffe7d57b531de876\",0,\"algebra_232003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348448,
+      "path": "data/train/p6b/numina-000366-0000-3f73354dd3bf8c0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3f73354dd3bf8c0cbba53e8f9e41af865b8e39bb3d7aef59cd05a7dce9e643dc"
+    },
+    {
+      "bytes": 155740,
+      "path": "data/internal_test/p6b/numina-000366-0000-d08810d7ab7ae8e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d08810d7ab7ae8e8462f107b1cb162713bbdd363782936df0416b6d88615a822"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000367.json b/manifests/batches/numina/000367.json
index 0e21d4189340e3aef384e567779fbffe49bfcd16..42da2e6056af053fce10edd99faf18f6c444fe0a 100644
--- a/manifests/batches/numina/000367.json
+++ b/manifests/batches/numina/000367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000367",
   "batch_fingerprint": "3e1440cd583b3863f9ad61863c58c743207caefc273c978c480b6c67cc84e7a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000367-0000-9e87be813029afe8.parquet",
-      "sha256": "9e87be813029afe816e5c4e7cbcbd6c07e08ce56f6b23b6d2b688f47e957ee8c",
-      "bytes": 433171,
-      "rows": 25,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:220682f1-9d7f-599a-81b1-47bec48eb301",
     "numina:c4cb6433-ed75-51c1-a446-26bfc4918400",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001837.lean\",\"0d921106718ce6ac0a73d8254e95481953233c8192e873089a04c324ae9aa43e\",0,\"algebra_232657\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001838.lean\",\"841fcf8fad9b3f2f4673184372c78da83c2e20e3f147a4800400834a774a55ba\",2,\"number_theory_232757\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001839.lean\",\"7c4a259b8c15f8724f406f8f12f160e37eefe59b4fc32b5dc6820d90a4e795c7\",0,\"inequalities_232783\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433171,
+      "path": "data/train/pf5/numina-000367-0000-9e87be813029afe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9e87be813029afe816e5c4e7cbcbd6c07e08ce56f6b23b6d2b688f47e957ee8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000368.json b/manifests/batches/numina/000368.json
index d3c80acaf9a1803d786d4f9a372d98cd6cac8fca..a02e89646b08ae1960088b75470f3a0637b18154 100644
--- a/manifests/batches/numina/000368.json
+++ b/manifests/batches/numina/000368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000368",
   "batch_fingerprint": "9e3a47a934eb0d829ee24ed88cd2e08af3a5de49107005f9a099ef6ce8f01f64",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000368-0000-ebe432ead94a6627.parquet",
-      "sha256": "ebe432ead94a66278d90199b35f0f497985d28bf3985375dcce331e6b596ad1c",
-      "bytes": 296752,
-      "rows": 20,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b79b137-3d28-5d70-a81c-43577d24b8be",
     "numina:a9a9a04a-9d54-5c71-bd0a-4ae99ffdf708",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001842.lean\",\"b9db593ad17dec1475a05e4c0f617f54e2228e44ab905ad6001e8378b38a6a48\",0,\"other_233151\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001843.lean\",\"5a51ad024a265ceb6cd182ea45a13b6d254ec37e095d438c966f922b51948fba\",2,\"number_theory_233364\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001844.lean\",\"0c7610d320d5b4218e1fc23e96de0aafbfd593b74b8a5e592df59fb544e41a63\",0,\"number_theory_233368\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296752,
+      "path": "data/train/p02/numina-000368-0000-ebe432ead94a6627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ebe432ead94a66278d90199b35f0f497985d28bf3985375dcce331e6b596ad1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000369.json b/manifests/batches/numina/000369.json
index 6df28fb5d509e303f4ee29f965559fcb49ef165c..ed346e2e2247eb9b4efe5a04763b10bac80c1aa9 100644
--- a/manifests/batches/numina/000369.json
+++ b/manifests/batches/numina/000369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000369",
   "batch_fingerprint": "420dcc4d5dab1fe4c617e63af7f398cd983099d3633bc2c9a3320d2c3076d42e",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000369-0000-09ca23673c031740.parquet",
-      "sha256": "09ca23673c031740e01fea1c9077c8a9be3ce366eb3a56d33a15ffc8ba3a59ae",
-      "bytes": 675457,
-      "rows": 45,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/train/numina-000369-0001-a1e6c8f731ed3367.parquet",
-      "sha256": "a1e6c8f731ed3367e49ca65430cd8dc1ee3a06a2966fa6cceecf93e9af6596ff",
-      "bytes": 567626,
-      "rows": 8,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/train/numina-000369-0002-f07a5ee1a2ea1a45.parquet",
-      "sha256": "f07a5ee1a2ea1a453e3e1c25bc11d99189162c974ca62cb62bb85dcc13974e95",
-      "bytes": 221358,
-      "rows": 32,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f228cb3-fe58-5bd5-934a-206f28393ae3",
     "numina:5937f706-19b9-56f6-b212-d3d4414a0ff4",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001847.lean\",\"f3225cc56c69bfd205820aacbf46dc722593d78c0c421d8931dc8111607cf795\",0,\"number_theory_233600\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001848.lean\",\"cc89c5e23c656826daa3c6d1d2284b2cbf298898dd22ad4b5b1e942d909e36ac\",0,\"algebra_233802\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001849.lean\",\"b23624bb3f1596d541c547a3d488557a77b0ae8bf8c92db2fcaffd965aac6dda\",0,\"algebra_233846\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 675457,
+      "path": "data/train/pf5/numina-000369-0000-09ca23673c031740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "09ca23673c031740e01fea1c9077c8a9be3ce366eb3a56d33a15ffc8ba3a59ae"
+    },
+    {
+      "bytes": 567626,
+      "path": "data/train/pf5/numina-000369-0001-a1e6c8f731ed3367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a1e6c8f731ed3367e49ca65430cd8dc1ee3a06a2966fa6cceecf93e9af6596ff"
+    },
+    {
+      "bytes": 221358,
+      "path": "data/train/pf5/numina-000369-0002-f07a5ee1a2ea1a45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f07a5ee1a2ea1a453e3e1c25bc11d99189162c974ca62cb62bb85dcc13974e95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000370.json b/manifests/batches/numina/000370.json
index 18ce636354cfd38897f88b77cae78e386d42cc22..c2501959da1b20ad7358d3bc6181db94290a1bca 100644
--- a/manifests/batches/numina/000370.json
+++ b/manifests/batches/numina/000370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000370",
   "batch_fingerprint": "87884d9b469a16c0f0de6504bc7fb1563f529610e1d71c956c14a9ce6fc0a8ce",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000370-0000-ff7fc443c8a2d356.parquet",
-      "sha256": "ff7fc443c8a2d3562768ad68c6aac01e4b00664417d4e5f872155c8ee30bc415",
-      "bytes": 243979,
-      "rows": 36,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    },
-    {
-      "path": "data/internal_test/numina-000370-0000-d41f9f2f9ad23914.parquet",
-      "sha256": "d41f9f2f9ad239144b99c262c721188ce6c7e9ec3554f6273aa0fb3764559338",
-      "bytes": 267768,
-      "rows": 20,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15536658-1d31-58e1-bb1f-563ea3f1c4f0",
     "numina:2a0cac67-9b81-5aab-abbb-bf07911a35bc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001852.lean\",\"dffa244aa8bd2e4a52ed1d982c3f40d9217935be3c15e0c394ea4df2b09b5058\",0,\"algebra_234232\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001853.lean\",\"b7ff1c3df4e4c76662296f22680ba291f5033ff92e2db18e792b73f0875aeabf\",0,\"algebra_234233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001854.lean\",\"7c76304b7822b2be822314fac58016b928e3a37481d6dfed1be6477348788284\",0,\"algebra_234731\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243979,
+      "path": "data/train/p14/numina-000370-0000-ff7fc443c8a2d356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "ff7fc443c8a2d3562768ad68c6aac01e4b00664417d4e5f872155c8ee30bc415"
+    },
+    {
+      "bytes": 267768,
+      "path": "data/internal_test/p14/numina-000370-0000-d41f9f2f9ad23914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d41f9f2f9ad239144b99c262c721188ce6c7e9ec3554f6273aa0fb3764559338"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000371.json b/manifests/batches/numina/000371.json
index df30ea84145ac12dfddc97ac9242524bf65cd5eb..4cf06993c22e627763a146f52df96886ca68a4da 100644
--- a/manifests/batches/numina/000371.json
+++ b/manifests/batches/numina/000371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000371",
   "batch_fingerprint": "59251db10d4c7036b31cf12b65856e274fe0cf594046bce1cbc01958072aedd6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000371-0000-682ee23b0c0cf553.parquet",
-      "sha256": "682ee23b0c0cf553adca703f6b8d63679bd0b4e393ccbb43bc9fc45dcafd7fd6",
-      "bytes": 522952,
-      "rows": 16,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    },
-    {
-      "path": "data/dev/numina-000371-0000-24f67bffd26d90af.parquet",
-      "sha256": "24f67bffd26d90af28c0665d75b85b29521021527724b4abebf2f5a67168dd91",
-      "bytes": 22375,
-      "rows": 1,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0662f35a-9cd0-5022-9261-91a0de2f9937",
     "numina:6fbdf2f5-1b77-5369-b90c-5d86016eb82e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001857.lean\",\"381876f688b8b814d9501c162ac601a90bde7bea52d8e239553a4e6c9f8812da\",0,\"algebra_235778\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001858.lean\",\"57ccc109e25e32dfc201e7323f83e0a18bfbc9ac70b490fcaa2d6921587c9abe\",0,\"algebra_235968\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001859.lean\",\"997fdeeb8d822bbb3462145fc0935d4ec3e578e576b625a9aa24b5c0af1cfa83\",0,\"number_theory_236037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 522952,
+      "path": "data/train/p81/numina-000371-0000-682ee23b0c0cf553.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "682ee23b0c0cf553adca703f6b8d63679bd0b4e393ccbb43bc9fc45dcafd7fd6"
+    },
+    {
+      "bytes": 22375,
+      "path": "data/dev/p81/numina-000371-0000-24f67bffd26d90af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "24f67bffd26d90af28c0665d75b85b29521021527724b4abebf2f5a67168dd91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000372.json b/manifests/batches/numina/000372.json
index 35631313b19e2a8808d2d23a5fa0fd590c4f3056..9952c779425132fae2f3b186d937f6f79607a638 100644
--- a/manifests/batches/numina/000372.json
+++ b/manifests/batches/numina/000372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000372",
   "batch_fingerprint": "9279271ee7b9d9e4eef1b2802cdb1146d4e15bc10a15a3665244b9fa4386858f",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000372-0000-b331a9a2197aa83d.parquet",
-      "sha256": "b331a9a2197aa83d28279d64bdde7445741e5371028c82bc986e9df6b8a869db",
-      "bytes": 573406,
-      "rows": 33,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/train/numina-000372-0001-3a11544be304ebb7.parquet",
-      "sha256": "3a11544be304ebb73bec8844a1902ea834d6bae36891eef2b2c7b752a841ec53",
-      "bytes": 663984,
-      "rows": 17,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/internal_test/numina-000372-0000-9d92da5fc0b850e5.parquet",
-      "sha256": "9d92da5fc0b850e509b1ed77e7a299e8066c8c5b273d5a06a11e7b0660f1797b",
-      "bytes": 58991,
-      "rows": 10,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32bec099-3b45-5152-9c6f-65e850882b1f",
     "numina:afb5125b-b5e9-581b-8cd3-95906529c47f",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001862.lean\",\"4a8d95f8720114f79da563e9f8706fed681aab67a7d248cff9c86812056c58d1\",0,\"algebra_236479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001863.lean\",\"3e54b99e1123ace740bde3d19ab57bda3221191e494b4562c239d9087ee1be1c\",0,\"algebra_236558\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001864.lean\",\"809599de5df5b0ccb0caf2eb296721d29dceba82edce1345c71d4ad270ca85e1\",0,\"number_theory_236652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 573406,
+      "path": "data/train/p2a/numina-000372-0000-b331a9a2197aa83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b331a9a2197aa83d28279d64bdde7445741e5371028c82bc986e9df6b8a869db"
+    },
+    {
+      "bytes": 663984,
+      "path": "data/train/p2a/numina-000372-0001-3a11544be304ebb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3a11544be304ebb73bec8844a1902ea834d6bae36891eef2b2c7b752a841ec53"
+    },
+    {
+      "bytes": 58991,
+      "path": "data/internal_test/p2a/numina-000372-0000-9d92da5fc0b850e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9d92da5fc0b850e509b1ed77e7a299e8066c8c5b273d5a06a11e7b0660f1797b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000373.json b/manifests/batches/numina/000373.json
index f2175086e5731a9772fb4549b6700ccab260da30..4e6c38d08da6cedd52d203f441fe982b576c4ad1 100644
--- a/manifests/batches/numina/000373.json
+++ b/manifests/batches/numina/000373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000373",
   "batch_fingerprint": "a9f6137ad22700a750c610db7fff349edf1e176b08a1e1e029be064f3b72d280",
   "evidence": {
@@ -74,15 +73,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000373-0000-5dc83454827b2011.parquet",
-      "sha256": "5dc83454827b20112d4ceb9024a93f24176e15d39fdf44124a78465c14065c75",
-      "bytes": 110715,
-      "rows": 8,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7d5e1445-31e9-5be2-83a0-21db4d6fd979",
     "numina:f9aeecbe-d005-5cb1-8042-18df887a7fbb"
@@ -90,5 +81,14 @@
   "proof_keys": [
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001866.lean\",\"f01fb229579e19771eb54c54deaeca132a2c6038bc0537d836033fa6dde35330\",0,\"number_theory_237067\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001869.lean\",\"ee98ee1c70cf08304ce6b0d0a7d22a285dde39ccd77aa26b769512b1eec81f2b\",1,\"calculus_237734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110715,
+      "path": "data/train/p18/numina-000373-0000-5dc83454827b2011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5dc83454827b20112d4ceb9024a93f24176e15d39fdf44124a78465c14065c75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000374.json b/manifests/batches/numina/000374.json
index e19923186c32e79863cb418f8cd55279c77a099b..a0b210666ae066a20e82be038d3032c70542d07f 100644
--- a/manifests/batches/numina/000374.json
+++ b/manifests/batches/numina/000374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000374",
   "batch_fingerprint": "39d7b3c6d13de10c81608ed9e538f2e79040960285d05fd2fe64166feb10b01d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000374-0000-e36d876e54ca6ca0.parquet",
-      "sha256": "e36d876e54ca6ca06577e2b1ee83f2d2107649bb5383e5fec6cc39b2a9d1a3cc",
-      "bytes": 467583,
-      "rows": 22,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/train/numina-000374-0001-92fa5084c48d4a2d.parquet",
-      "sha256": "92fa5084c48d4a2d27f6f6a5ba29cd08b37c0031f75d0678c420ace711c7ec30",
-      "bytes": 248184,
-      "rows": 21,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22679e43-32c5-5a64-b03e-fa5b8504a500",
     "numina:5d5cf930-8a10-5bf1-8800-0b6f138700f6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001872.lean\",\"7fe7308a588ca5d05659f78fc964aca60c1385b8b11bf820c5f082f4ed6fa0ca\",0,\"number_theory_238324\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001873.lean\",\"bdbebe9e78c9c917214b80c2f4513446d8c8d45db6b9a2ae17636b79d6ef12ad\",0,\"number_theory_238432\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001874.lean\",\"b4553a159e2789ad41b3041747c1978151b0758b73eac0a4235a845f9b3fbe38\",0,\"algebra_238673\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 467583,
+      "path": "data/train/pb8/numina-000374-0000-e36d876e54ca6ca0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e36d876e54ca6ca06577e2b1ee83f2d2107649bb5383e5fec6cc39b2a9d1a3cc"
+    },
+    {
+      "bytes": 248184,
+      "path": "data/train/pb8/numina-000374-0001-92fa5084c48d4a2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "92fa5084c48d4a2d27f6f6a5ba29cd08b37c0031f75d0678c420ace711c7ec30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000375.json b/manifests/batches/numina/000375.json
index e7c34865a901da64e73d470a1fbc893d20ef3d95..1e3af5c7acd1886d39246d780e4ff6d44f6ddef5 100644
--- a/manifests/batches/numina/000375.json
+++ b/manifests/batches/numina/000375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000375",
   "batch_fingerprint": "017c11bd1f718bc436537750d450f2f2756b2fbd00531ef7c31b5f9ca1f06fd6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000375-0000-d462e6f1a0e02444.parquet",
-      "sha256": "d462e6f1a0e0244482cccad59004112debed2851aa3cd1754e5b209b0a0b1935",
-      "bytes": 305961,
-      "rows": 27,
-      "revision": "c1d95fd04d0e5f1bd192d6081286fe81ec35ac60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d1573d2-65cf-5ab2-942c-bbbcf2183368",
     "numina:1b82c0ac-3321-5635-9672-229a52add446",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001877.lean\",\"030544300ea68fc8ba8e42e4dbaed0f5329e0a96bbbe4bc3f0543f96a619c849\",0,\"number_theory_238792\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001878.lean\",\"00f3409850cdaa4df32e108002aa98f5fdd84b3640198b8a786b774731f96efb\",0,\"number_theory_238809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001879.lean\",\"6046faad007c82e60df6f43a8adcf639983215071aa66a22a3cd5b41fa410021\",0,\"number_theory_238818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305961,
+      "path": "data/train/p33/numina-000375-0000-d462e6f1a0e02444.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "d462e6f1a0e0244482cccad59004112debed2851aa3cd1754e5b209b0a0b1935"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000376.json b/manifests/batches/numina/000376.json
index f5aa4b80febfab9225872ff1ef0dcfa8e127fcd6..866754882e5cb7a0155e9d7f0222f1700ae80ee8 100644
--- a/manifests/batches/numina/000376.json
+++ b/manifests/batches/numina/000376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000376",
   "batch_fingerprint": "982bf31513a5dcb600ba4a18e0526afea27499350ccd21be22264cb1cdc28fb1",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000376-0000-55329c4d045cb14e.parquet",
-      "sha256": "55329c4d045cb14e807d172a5d28e5a42348518749b6dc6339983a584bd12002",
-      "bytes": 71912,
-      "rows": 15,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/dev/numina-000376-0000-3bb11b511f9b394b.parquet",
-      "sha256": "3bb11b511f9b394ba29bdf2e5575e91ab674d2955b2a13e5cf518855496c35bf",
-      "bytes": 527267,
-      "rows": 27,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/internal_test/numina-000376-0000-88f725586ec18833.parquet",
-      "sha256": "88f725586ec18833ae5787fa2b02d504bd4d7d255396d1ec5a8723f7503326d8",
-      "bytes": 199939,
-      "rows": 37,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:43b380c1-2b7f-5d0d-9159-76df148b9c5b",
     "numina:5985c23f-960b-571f-8693-fe5e85b0675a",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001882.lean\",\"b5ff4571936fdff8009ad345fbc27415983e8d6fa560aff31c357da46214af92\",1,\"algebra_239028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001883.lean\",\"96cac289c0fe7025ca83450b98c82d46ea58a8d83c42926de0f9fa1418cb61db\",0,\"combinatorics_239111\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001884.lean\",\"4574d314b1d2b3164324a72760534c30f96622708ab501e26087f58d5b7035fa\",0,\"number_theory_239133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71912,
+      "path": "data/train/p54/numina-000376-0000-55329c4d045cb14e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "55329c4d045cb14e807d172a5d28e5a42348518749b6dc6339983a584bd12002"
+    },
+    {
+      "bytes": 527267,
+      "path": "data/dev/p54/numina-000376-0000-3bb11b511f9b394b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3bb11b511f9b394ba29bdf2e5575e91ab674d2955b2a13e5cf518855496c35bf"
+    },
+    {
+      "bytes": 199939,
+      "path": "data/internal_test/p54/numina-000376-0000-88f725586ec18833.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "88f725586ec18833ae5787fa2b02d504bd4d7d255396d1ec5a8723f7503326d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000377.json b/manifests/batches/numina/000377.json
index 0565a4dead545deec06a47bd69322a12f3f3117b..62fc8b97ea03731dd5a0df1ae99ac43741058c2c 100644
--- a/manifests/batches/numina/000377.json
+++ b/manifests/batches/numina/000377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000377",
   "batch_fingerprint": "d25757dfc44297304b38b1463fe74932c512f88bf08e136316b36683c8b71739",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000377-0000-b609bd5b714e2e32.parquet",
-      "sha256": "b609bd5b714e2e32075616cec0ecc6bfc0154d0eab43760848a429799f7582c4",
-      "bytes": 624242,
-      "rows": 42,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/train/numina-000377-0001-0068ff3808f1baac.parquet",
-      "sha256": "0068ff3808f1baaced533c7deaa5c0ec7137f968bca2a46a06b2d291d76c6057",
-      "bytes": 174453,
-      "rows": 2,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/dev/numina-000377-0000-d11d3b02df668975.parquet",
-      "sha256": "d11d3b02df66897537ee37b5ba0a39f34d732e6bb46a599118f6cc0fc63d516d",
-      "bytes": 133907,
-      "rows": 7,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23d81a73-f392-5665-9077-8587e8f49022",
     "numina:2fc11caf-d590-57c2-bb99-60da48edbbfd",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001887.lean\",\"1fa75e1904cbd00a85e02c0ff102b586c983cdf46b57b51f1b7729dc159c7e63\",0,\"inequalities_239340\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001888.lean\",\"c085cf4d49a6180197c9073b5a2270c8f53f587f0ad17f3c4516a512efdbf073\",0,\"combinatorics_239551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001889.lean\",\"ceb0ca6372db37641f2d71cb0882cf4e8b3d4e7cb1b1f252e365fd2606366358\",7,\"number_theory_239914\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624242,
+      "path": "data/train/p6a/numina-000377-0000-b609bd5b714e2e32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b609bd5b714e2e32075616cec0ecc6bfc0154d0eab43760848a429799f7582c4"
+    },
+    {
+      "bytes": 174453,
+      "path": "data/train/p6a/numina-000377-0001-0068ff3808f1baac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0068ff3808f1baaced533c7deaa5c0ec7137f968bca2a46a06b2d291d76c6057"
+    },
+    {
+      "bytes": 133907,
+      "path": "data/dev/p6a/numina-000377-0000-d11d3b02df668975.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d11d3b02df66897537ee37b5ba0a39f34d732e6bb46a599118f6cc0fc63d516d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000378.json b/manifests/batches/numina/000378.json
index d3ee96e48d22d91a07447673599b49742f95863c..45bfd8f551c26c65d8db8500cc50b771ccb962d2 100644
--- a/manifests/batches/numina/000378.json
+++ b/manifests/batches/numina/000378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000378",
   "batch_fingerprint": "3d110497bb68b759a298a31110a7c2aef5538a7cb94d0bdc439f46bf62b6013f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000378-0000-14493d8eb73e0503.parquet",
-      "sha256": "14493d8eb73e0503470bf1d700e90dfa9102669aab7876d2016687dea3f8d061",
-      "bytes": 730211,
-      "rows": 38,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/train/numina-000378-0001-89e58ac3cb3ab0ff.parquet",
-      "sha256": "89e58ac3cb3ab0ff8b421d69bfa99f78e2c6c103e3de30a91ee1343797da38ef",
-      "bytes": 420096,
-      "rows": 26,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b778b4a-4f12-5169-9a74-958671cedee3",
     "numina:316d3633-64b3-5913-a882-033261197b3b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001892.lean\",\"d78d8af5bd1c6b739c44a922a4a106f1678b5c320402fdfd871e967d40acb8ae\",0,\"number_theory_240211\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001893.lean\",\"ea180ad0de61180fa37f2761448da1082dfc56528f3343a3f8f6777735ec9f4d\",0,\"inequalities_240219\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001894.lean\",\"f28a2b51955630a6bf419c0d0cd52f4e8a7a1187eef0310841be95b1696396ac\",0,\"number_theory_240230\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 730211,
+      "path": "data/train/p43/numina-000378-0000-14493d8eb73e0503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "14493d8eb73e0503470bf1d700e90dfa9102669aab7876d2016687dea3f8d061"
+    },
+    {
+      "bytes": 420096,
+      "path": "data/train/p43/numina-000378-0001-89e58ac3cb3ab0ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "89e58ac3cb3ab0ff8b421d69bfa99f78e2c6c103e3de30a91ee1343797da38ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000379.json b/manifests/batches/numina/000379.json
index cbaac81fe3813dca60ca587873882f6e9960991f..f31cbfb40820fef7e18fcb2b55ab555f11f5c953 100644
--- a/manifests/batches/numina/000379.json
+++ b/manifests/batches/numina/000379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000379",
   "batch_fingerprint": "3573534c843cf6ea5e3c1c3d63adb60d6f8eab01f61775dd419b00a663b1f446",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000379-0000-768c9a3732afd1c9.parquet",
-      "sha256": "768c9a3732afd1c90a71c949f38044741a3e5d0f451d507c91c7e6dece2ed87d",
-      "bytes": 631336,
-      "rows": 58,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7da00b4c-854e-502f-a83e-c67569e5cb93",
     "numina:a378adb0-4d8f-5c3a-8e2a-96b1debbf2a7",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001897.lean\",\"23624745dfc26b3b4edc3a79013a8d472160dacc2721bad62059b3363fe90fbe\",0,\"number_theory_240680\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001898.lean\",\"06f67394599f077f0bb12678e3b39cf5af23f757ff593e955971798c34c10c83\",0,\"algebra_240752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001899.lean\",\"47d83e95015f27e84b30b1fa48095f96932e1a690ceb846e044f33e8c9cf5663\",2,\"inequalities_240754\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 631336,
+      "path": "data/train/p03/numina-000379-0000-768c9a3732afd1c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "768c9a3732afd1c90a71c949f38044741a3e5d0f451d507c91c7e6dece2ed87d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000380.json b/manifests/batches/numina/000380.json
index 6c3e09f159b4402a61aa9831b162851b9b51687f..6f2227c83834f486bbb36f235830655c8e15b3ee 100644
--- a/manifests/batches/numina/000380.json
+++ b/manifests/batches/numina/000380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000380",
   "batch_fingerprint": "ae1cf35d5d31433a6c5154ae7eaac7887b9358eb1b8aa97f7d7b3ac09fbb0588",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000380-0000-8da6e75f6357746f.parquet",
-      "sha256": "8da6e75f6357746f863695b6477689ea85017f9a7f2ddc9ed2d92deb49b98f19",
-      "bytes": 518524,
-      "rows": 54,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/dev/numina-000380-0000-b76e7b62323de3f7.parquet",
-      "sha256": "b76e7b62323de3f72526e23f891c4ce11d734cdeaef996eb157eaaa7ff6507a9",
-      "bytes": 208236,
-      "rows": 32,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:228da894-1a7d-50fe-bb4d-4f5a1f23ae44",
     "numina:315cdaba-53c4-54bc-96d5-72bbb3dcd64c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001902.lean\",\"f920d2389cc6529ebb67a81da6f662ce99c7845697db785492eb22bab9437fbd\",0,\"algebra_241112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001903.lean\",\"4efef78b02a3cf88afc6da4d14a09f36d8ed9a0aa40fa16a19a9675c942134d3\",1,\"number_theory_241156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001904.lean\",\"ee461b8a244b8b12f97ad7763110aa61bc51be34746df232e1877ccf3a028841\",0,\"algebra_241161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 518524,
+      "path": "data/train/p56/numina-000380-0000-8da6e75f6357746f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "8da6e75f6357746f863695b6477689ea85017f9a7f2ddc9ed2d92deb49b98f19"
+    },
+    {
+      "bytes": 208236,
+      "path": "data/dev/p56/numina-000380-0000-b76e7b62323de3f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "b76e7b62323de3f72526e23f891c4ce11d734cdeaef996eb157eaaa7ff6507a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000381.json b/manifests/batches/numina/000381.json
index 470e3145b1dbc55bd10a5d94517e9fdabc9774a9..69bef9d7650c4f9164ea75453c197b18401d2d32 100644
--- a/manifests/batches/numina/000381.json
+++ b/manifests/batches/numina/000381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000381",
   "batch_fingerprint": "36e5c9d2bab7953a61fe9290dbcf1110853df0e1d0e94a0fb0031662c94491d3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000381-0000-12fc6d1334104ddc.parquet",
-      "sha256": "12fc6d1334104ddc9a648fe1cf9e24e78cb4c9e3cee30c4e15cf2479e5dafe28",
-      "bytes": 297690,
-      "rows": 40,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c2ef12c-c4c4-51a7-bec8-5234100c2a7f",
     "numina:859eeb95-6ced-585d-9291-4d511547ac2b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001907.lean\",\"eaf0523b9b465b557fc6287f64c58b576d81d895f5e98cae144c3be0e31c7c01\",0,\"algebra_241567\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001908.lean\",\"46a859644402538032a16aaef3776f7299bdf8091ffd9edd14f540c71b27f4c1\",0,\"number_theory_241647\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001909.lean\",\"c551846316400eb8b939886f8b8f7a0525363a37db5efd7018519922c4cda8b7\",0,\"algebra_241777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297690,
+      "path": "data/train/p49/numina-000381-0000-12fc6d1334104ddc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "12fc6d1334104ddc9a648fe1cf9e24e78cb4c9e3cee30c4e15cf2479e5dafe28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000382.json b/manifests/batches/numina/000382.json
index 24a99937c09dea0f3b6ad855f3d47a22df51d1fb..17ada289333394f5e89765619f57ceaf57f4b452 100644
--- a/manifests/batches/numina/000382.json
+++ b/manifests/batches/numina/000382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000382",
   "batch_fingerprint": "05c0c6b374b4e01e225d4af9735d2a0a07ea6fa8bddcd2782bb5ff86d28c6dec",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000382-0000-ada9865f8c7fbce4.parquet",
-      "sha256": "ada9865f8c7fbce468bc50e728184e470afa07e5d2bbc78ca70fc45d73eea440",
-      "bytes": 543669,
-      "rows": 16,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/train/numina-000382-0001-84cc62c93ab228c0.parquet",
-      "sha256": "84cc62c93ab228c043e97e92a449540692a88d9302ff3ba3b53669756f5c3fbb",
-      "bytes": 113270,
-      "rows": 8,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04756da2-7032-5651-922a-632cb3216bee",
     "numina:2f18abb7-414f-5fc9-84cd-fc65f9d310c3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001912.lean\",\"076a5bbc54351f66b07ec06c7cc31824ce801a1117f3772804d86e7741e6a49f\",0,\"algebra_242561\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001913.lean\",\"3de4107f66beb938e6c0093d035b974b4d8504a3e46919be986e7b6a5c105cc2\",0,\"number_theory_242562\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001914.lean\",\"b1022de712caf913b5f109d6ff9c540173ed9eb672cb9dc3c0444ea937455f90\",0,\"inequalities_242589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543669,
+      "path": "data/train/pbb/numina-000382-0000-ada9865f8c7fbce4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ada9865f8c7fbce468bc50e728184e470afa07e5d2bbc78ca70fc45d73eea440"
+    },
+    {
+      "bytes": 113270,
+      "path": "data/train/pbb/numina-000382-0001-84cc62c93ab228c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "84cc62c93ab228c043e97e92a449540692a88d9302ff3ba3b53669756f5c3fbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000383.json b/manifests/batches/numina/000383.json
index 8553d9f87ed43f972bf9d46e04befb132bde5127..c4eafd24dc5bdb0fab6a96279fd34223a79dd9b3 100644
--- a/manifests/batches/numina/000383.json
+++ b/manifests/batches/numina/000383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000383",
   "batch_fingerprint": "664d250125b28e23d2d4eb96a516e4012bf609194968dbd653c123d35431f5a8",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000383-0000-c8391d30a237deae.parquet",
-      "sha256": "c8391d30a237deae34c30d88f659c4ca51b4dfd1550bf740be4107fb21f6d0e2",
-      "bytes": 291455,
-      "rows": 36,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:286012c2-203b-5526-9f72-eb53a5f1ab60",
     "numina:38ffcb89-cf5c-5bca-8132-1f6eadd9286c",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001916.lean\",\"b0762f874d2c83cfefa2175ddf16d9d895d6f15ff26e8403f3d3fcfc8ca023ec\",2,\"number_theory_243387\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001917.lean\",\"480f1efd84f005be0476b36d656afcd9814df6e82ac2e0ce3c6ae0d2dba96151\",0,\"algebra_243538\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001919.lean\",\"7b3c56374e6f7c11a092203fcb6b95502516cc4e886270facb3310ee6d3617c7\",0,\"number_theory_243844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291455,
+      "path": "data/train/pa0/numina-000383-0000-c8391d30a237deae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "c8391d30a237deae34c30d88f659c4ca51b4dfd1550bf740be4107fb21f6d0e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000384.json b/manifests/batches/numina/000384.json
index c2ea408f51a6f3373dc3d1dd9d42d24fe8e0e67f..4502dffa8e922c0146b1a78a3d45eb7485ad2efe 100644
--- a/manifests/batches/numina/000384.json
+++ b/manifests/batches/numina/000384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000384",
   "batch_fingerprint": "9b0408191f0029fb910730f755afd88f8ca181925aeae3bd92303638803c9305",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000384-0000-9ac77c16657d5bc6.parquet",
-      "sha256": "9ac77c16657d5bc66fafb75e1681186521962d073bacaed07c50f61a74e7b2fe",
-      "bytes": 612523,
-      "rows": 7,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/train/numina-000384-0001-77ad66177a3837b5.parquet",
-      "sha256": "77ad66177a3837b535942cf0beeafc7a177174437f780322c5ca738783dff60c",
-      "bytes": 619039,
-      "rows": 13,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:645aa94c-051c-5fb9-a624-aa51cf4acab1",
     "numina:a0e08ea3-bd8a-5146-b3a4-dd8ce238a803",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001922.lean\",\"3def945c58a8c74916d79b399447b3be59463fbcd44ef5b9ba6caa4281e89c9f\",0,\"algebra_244376\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001923.lean\",\"11aa9f24ebd71de36c15d89d969722fe44f108c04b57ab60fa45e670ea836dff\",1,\"algebra_244434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001924.lean\",\"84252a2e46691a3aee48934d3634b2ae6fdee8b06a07a93e45ec3c43af8a6db1\",0,\"number_theory_244585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612523,
+      "path": "data/train/p07/numina-000384-0000-9ac77c16657d5bc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9ac77c16657d5bc66fafb75e1681186521962d073bacaed07c50f61a74e7b2fe"
+    },
+    {
+      "bytes": 619039,
+      "path": "data/train/p07/numina-000384-0001-77ad66177a3837b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "77ad66177a3837b535942cf0beeafc7a177174437f780322c5ca738783dff60c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000385.json b/manifests/batches/numina/000385.json
index e76b242caf8ddd5556d2bcd6ea3389276a751e41..8ecda143fcff0f137a26fe5923f9552049621bb1 100644
--- a/manifests/batches/numina/000385.json
+++ b/manifests/batches/numina/000385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000385",
   "batch_fingerprint": "ee1ba907dd1a653f74b35ad52de64e8dd4bd913b46f81bfcb213313bd9e545d7",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000385-0000-1db39d0f2968a022.parquet",
-      "sha256": "1db39d0f2968a022779d5ef3d3f336fd73d2c8b8108fe91c3919bc2e672941d0",
-      "bytes": 141327,
-      "rows": 28,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/dev/numina-000385-0000-7cf0dd126f005e51.parquet",
-      "sha256": "7cf0dd126f005e51eea81c4d8ec3eee6d84a6986fd3922686c2dd28a24f0eae6",
-      "bytes": 45528,
-      "rows": 7,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    },
-    {
-      "path": "data/internal_test/numina-000385-0000-cb60d57d082e90a7.parquet",
-      "sha256": "cb60d57d082e90a7a95a9601993b42dafe9e57047ce335f17b694a7475de5b3d",
-      "bytes": 122255,
-      "rows": 8,
-      "revision": "76601c7ac85697c0e3b67b77766de898e40d91df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b6768f1-33c6-58f1-88c6-fd3a9741bd69",
     "numina:27bc7ed0-46ea-517f-9ef2-0e582509cfcc",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001927.lean\",\"0b44d4bfa3e9543c7035065c2b942428b0f799752c4da654968304b1c25d6d01\",0,\"algebra_244793\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001928.lean\",\"732c5ba35c38210d6f0d77790ce4eae283ba7475c01473c66b513560aaa73ea5\",0,\"number_theory_245162\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001929.lean\",\"803ba04e7e8073c770932b7f2609afa945496c412705204e6f20dcfbf287dd96\",1,\"number_theory_245520\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141327,
+      "path": "data/train/p6e/numina-000385-0000-1db39d0f2968a022.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1db39d0f2968a022779d5ef3d3f336fd73d2c8b8108fe91c3919bc2e672941d0"
+    },
+    {
+      "bytes": 45528,
+      "path": "data/dev/p6e/numina-000385-0000-7cf0dd126f005e51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7cf0dd126f005e51eea81c4d8ec3eee6d84a6986fd3922686c2dd28a24f0eae6"
+    },
+    {
+      "bytes": 122255,
+      "path": "data/internal_test/p6e/numina-000385-0000-cb60d57d082e90a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cb60d57d082e90a7a95a9601993b42dafe9e57047ce335f17b694a7475de5b3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000386.json b/manifests/batches/numina/000386.json
index 7ada3c6da5ca40d99283263b0688ca429e85b989..0c0acf8e1539dd6bd7f8e297b4f74edbab7b403d 100644
--- a/manifests/batches/numina/000386.json
+++ b/manifests/batches/numina/000386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000386",
   "batch_fingerprint": "f65dd2c2ecbd3aceaff6c576b6350727ecbc45303e0c748e0efd9c23abf18344",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000386-0000-28212aa24a83f0e1.parquet",
-      "sha256": "28212aa24a83f0e12475c8b731dab2c9ce4a9ce025a2a8561b1c4d081b045eb0",
-      "bytes": 237187,
-      "rows": 19,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/dev/numina-000386-0000-0f0329f1e9c2ec54.parquet",
-      "sha256": "0f0329f1e9c2ec54afa90f7dc429554b8ed206762985d34de203fadc1da8ce5d",
-      "bytes": 208439,
-      "rows": 27,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/internal_test/numina-000386-0000-bbaacc0f5db8cb73.parquet",
-      "sha256": "bbaacc0f5db8cb73c560a896be6cfd0ca5d6e0ff05cfaf5bf9a62ca324482133",
-      "bytes": 104173,
-      "rows": 6,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2cd606e3-0045-54be-bd71-2f451c042970",
     "numina:2f366dd1-1b23-5e90-ac5a-6ad0c3c89a97",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001932.lean\",\"73b9b4ae7842fe94498fda8e96c06179285f1b93abd23977b1ff73cce63ebf4a\",0,\"number_theory_245602\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001933.lean\",\"55934c738aa064b7e3de72f28f3564b99958f8a8d691347159b4e81cf8d996a5\",0,\"algebra_245610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001934.lean\",\"15993e8e723b7304d830d243f23dad942236afb50550988b362ae08d96ba12b4\",0,\"number_theory_245799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237187,
+      "path": "data/train/pad/numina-000386-0000-28212aa24a83f0e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "28212aa24a83f0e12475c8b731dab2c9ce4a9ce025a2a8561b1c4d081b045eb0"
+    },
+    {
+      "bytes": 208439,
+      "path": "data/dev/pad/numina-000386-0000-0f0329f1e9c2ec54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0f0329f1e9c2ec54afa90f7dc429554b8ed206762985d34de203fadc1da8ce5d"
+    },
+    {
+      "bytes": 104173,
+      "path": "data/internal_test/pad/numina-000386-0000-bbaacc0f5db8cb73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bbaacc0f5db8cb73c560a896be6cfd0ca5d6e0ff05cfaf5bf9a62ca324482133"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000387.json b/manifests/batches/numina/000387.json
index 8385803df025eb79d5bd434113a73715fb648164..6ce28f9f138f4bc8e536857045f1d42b5d3ed974 100644
--- a/manifests/batches/numina/000387.json
+++ b/manifests/batches/numina/000387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000387",
   "batch_fingerprint": "8fd8af715874abcb8003b4431f93958254490375d04b319df6ee4bff15dead83",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000387-0000-94252969250c0bc5.parquet",
-      "sha256": "94252969250c0bc58d88d14b392b473442713d763a45d2da6093c296f0acd439",
-      "bytes": 432481,
-      "rows": 41,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ae27e57-e7e4-5361-b017-5305d383ad4b",
     "numina:613bec47-2887-52b0-bb39-bc66c8cddbaf",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001937.lean\",\"6497c020fdfbce7a39110749b96047acaaa2a20d0dd7f580f78d1cb32f70f514\",0,\"number_theory_246671\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001938.lean\",\"8b6023917a91022fe8fb53aebbc7fa2038e092603c6f5933ec1945626b15327e\",2,\"number_theory_246699\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001939.lean\",\"55fdc94b6522fb386ef256f02b7353c35915212412bc16da22871208af57cf3b\",0,\"algebra_246821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432481,
+      "path": "data/train/pa6/numina-000387-0000-94252969250c0bc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "94252969250c0bc58d88d14b392b473442713d763a45d2da6093c296f0acd439"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000388.json b/manifests/batches/numina/000388.json
index e021de4ed979a1d89a6ff3f3568c86f420ddac05..b78a76ee1e6760d1e14b8fcde4eb445650f536ea 100644
--- a/manifests/batches/numina/000388.json
+++ b/manifests/batches/numina/000388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000388",
   "batch_fingerprint": "c92b742108a396610ef85c3677644062ff73e22471a07001e27e5d2324ed41a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000388-0000-f9bee6b094d9c7ea.parquet",
-      "sha256": "f9bee6b094d9c7ea0d6fe135603c814a69e181749417f51dc4129b1087bb43c2",
-      "bytes": 685294,
-      "rows": 5,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/train/numina-000388-0001-86126878218d8290.parquet",
-      "sha256": "86126878218d8290565ea6843795c4373c2b16cd49dc860e585a67bac1193209",
-      "bytes": 386217,
-      "rows": 37,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a598af6-b386-5e16-978b-41ef79651285",
     "numina:30390e15-9162-5899-a02b-24fdfa9f3a0a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001942.lean\",\"41a0579f6940d422ef4583888c6592ba670bb4b4b6809d88e5f74032c71830ab\",0,\"number_theory_247395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001943.lean\",\"9569c82a9a5b1f445d5e9c47bbc6d8672d82713a272eff524b8c5442fe04fe28\",1,\"algebra_247618\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001944.lean\",\"55e8cfb8edf96fb5ebd86aa827a4e5fc8b94b8954c4926152cf71950e0097023\",10,\"number_theory_247811\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 685294,
+      "path": "data/train/p56/numina-000388-0000-f9bee6b094d9c7ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f9bee6b094d9c7ea0d6fe135603c814a69e181749417f51dc4129b1087bb43c2"
+    },
+    {
+      "bytes": 386217,
+      "path": "data/train/p56/numina-000388-0001-86126878218d8290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "86126878218d8290565ea6843795c4373c2b16cd49dc860e585a67bac1193209"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000389.json b/manifests/batches/numina/000389.json
index 3fea2051a575725208205776f20153b6562b10e6..742e32baa037fbf559ec10fb86fdf6dce0119704 100644
--- a/manifests/batches/numina/000389.json
+++ b/manifests/batches/numina/000389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000389",
   "batch_fingerprint": "bc1d7f65d858839b2471b0d8d8e0a899e08ca67896a4830a165e8a9b917ac205",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000389-0000-263e67735cbe0dc4.parquet",
-      "sha256": "263e67735cbe0dc4b5a7d035a55f1f37750bbac65e2d6efb442fa3e3543c8c9b",
-      "bytes": 991572,
-      "rows": 6,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/dev/numina-000389-0000-14670e03005eb086.parquet",
-      "sha256": "14670e03005eb086b62ffdbc60c8271cf516abaf7083124914edc666b056bd5f",
-      "bytes": 211334,
-      "rows": 17,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/internal_test/numina-000389-0000-2eb0498d6119ddd8.parquet",
-      "sha256": "2eb0498d6119ddd8e2f1284ba6039dabe1a1d0c0ae13677df6d0b7988fbe5223",
-      "bytes": 171453,
-      "rows": 4,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45927172-7720-57c4-a7c3-118f12175206",
     "numina:7b16c6e3-2a84-579d-8a8d-a5624c4b57f2",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001947.lean\",\"bcc8dcf0ab7e253c2962cd133dcd86e33cc17467fcce0b8c417bc964b1e16bd2\",0,\"number_theory_248425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001948.lean\",\"9a07689ff14f7bdcc63195437495225d95925ea26f049da86bdd51bd63490a99\",0,\"number_theory_248527\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001949.lean\",\"6a1d3401fcfc681631deecc889285ea6d074a4cc94b5cee950358e0fb322ac18\",0,\"inequalities_248985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 991572,
+      "path": "data/train/p7b/numina-000389-0000-263e67735cbe0dc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "263e67735cbe0dc4b5a7d035a55f1f37750bbac65e2d6efb442fa3e3543c8c9b"
+    },
+    {
+      "bytes": 211334,
+      "path": "data/dev/p7b/numina-000389-0000-14670e03005eb086.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "14670e03005eb086b62ffdbc60c8271cf516abaf7083124914edc666b056bd5f"
+    },
+    {
+      "bytes": 171453,
+      "path": "data/internal_test/p7b/numina-000389-0000-2eb0498d6119ddd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2eb0498d6119ddd8e2f1284ba6039dabe1a1d0c0ae13677df6d0b7988fbe5223"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000390.json b/manifests/batches/numina/000390.json
index 5cc445401ba5daaba17ee7679b84dce3fd9da8c3..e1e55f90e91d474f059a0ad404defec434ccdde7 100644
--- a/manifests/batches/numina/000390.json
+++ b/manifests/batches/numina/000390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000390",
   "batch_fingerprint": "1714cd1c3155b75ebb543ae738afd83a4e63884c6d16a475a5399aeebcff7994",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000390-0000-f262c9059f9bd379.parquet",
-      "sha256": "f262c9059f9bd379fed7be0584637003843b9a552eaf601261316a2f0f8d50b3",
-      "bytes": 232009,
-      "rows": 25,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/dev/numina-000390-0000-f845e2a1fc612427.parquet",
-      "sha256": "f845e2a1fc6124273702bcefdf554838fc4ed995de9f80bb79fe21aaccaf59f5",
-      "bytes": 644494,
-      "rows": 47,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/internal_test/numina-000390-0000-36895f6456eed449.parquet",
-      "sha256": "36895f6456eed44981b7765375a56815b00b5bc7780513919f26c1c40b7e7a3a",
-      "bytes": 535759,
-      "rows": 18,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13bcf9fb-20a4-5b58-a31b-45081ea05e77",
     "numina:3efdf83c-d80e-5d0e-957e-fba322f776f0",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001952.lean\",\"ba257439babcbe93e59f54caaac0638f7c5cb31351b2927c38b69e62aa0a8e1c\",1,\"number_theory_249508\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001953.lean\",\"1717de4c88137f235a1f7aed60c79db66a040460341b72c9a38fe93dbc1efcd9\",0,\"number_theory_249742\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001954.lean\",\"34dc7532c164915eceeb9c601584a2844ab51cce77cdc316e1995c1d74f834a4\",0,\"number_theory_250018\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232009,
+      "path": "data/train/pb2/numina-000390-0000-f262c9059f9bd379.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f262c9059f9bd379fed7be0584637003843b9a552eaf601261316a2f0f8d50b3"
+    },
+    {
+      "bytes": 644494,
+      "path": "data/dev/pb2/numina-000390-0000-f845e2a1fc612427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f845e2a1fc6124273702bcefdf554838fc4ed995de9f80bb79fe21aaccaf59f5"
+    },
+    {
+      "bytes": 535759,
+      "path": "data/internal_test/pb2/numina-000390-0000-36895f6456eed449.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "36895f6456eed44981b7765375a56815b00b5bc7780513919f26c1c40b7e7a3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000391.json b/manifests/batches/numina/000391.json
index 2793d21851e7bbc9aa9545fdcd2eedb54274827e..a1d51360cbbefedeef944edb74b1de7183f921f7 100644
--- a/manifests/batches/numina/000391.json
+++ b/manifests/batches/numina/000391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000391",
   "batch_fingerprint": "550858f37bba60f0cf612cecad9849aeb58a7b902bf45bccd49c6ff5a8407a3f",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000391-0000-e1e8b8e1e4f39c5a.parquet",
-      "sha256": "e1e8b8e1e4f39c5a1e4ed2b0cd66950f4fd785a89511b53715d02690fa2dccb3",
-      "bytes": 451073,
-      "rows": 3,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/train/numina-000391-0001-12c78528f1b5123a.parquet",
-      "sha256": "12c78528f1b5123a35ed5fe1ee511c2b2d2b4a8b7f51c87dbf8edbcc1c5ebb5f",
-      "bytes": 465300,
-      "rows": 11,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21d9bdc5-5014-5b0c-b8f2-c45c5f87562b",
     "numina:3e4b18cc-964b-583b-90c3-0d6379f68981",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001956.lean\",\"7b4c0765776a6135da6d0d3ee9d98dbe343092f8c5f9102c16f3398792afea42\",1,\"number_theory_250679\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001958.lean\",\"bf4f4703082d661a78d87b7ea9db658ad41bad6af3cbb941bea8950a735558f2\",4,\"number_theory_251213\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001959.lean\",\"b706b9361aa7516e73543ba6ad31e2daeeeb2a225a7a9ed765b0ace544268545\",0,\"number_theory_251637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 451073,
+      "path": "data/train/peb/numina-000391-0000-e1e8b8e1e4f39c5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e1e8b8e1e4f39c5a1e4ed2b0cd66950f4fd785a89511b53715d02690fa2dccb3"
+    },
+    {
+      "bytes": 465300,
+      "path": "data/train/peb/numina-000391-0001-12c78528f1b5123a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "12c78528f1b5123a35ed5fe1ee511c2b2d2b4a8b7f51c87dbf8edbcc1c5ebb5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000392.json b/manifests/batches/numina/000392.json
index 8558fcc6e851d7308bcd7541ef8b9f782dc25104..f8d7ae310a1c826f08c1b6cc7065388177d12da6 100644
--- a/manifests/batches/numina/000392.json
+++ b/manifests/batches/numina/000392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000392",
   "batch_fingerprint": "3d63b1716139c229275e249bfc296807f49237682856c622c1f820f738b8e7b4",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000392-0000-e9c6b32071b1abb8.parquet",
-      "sha256": "e9c6b32071b1abb81f1a40e79625785b4f4199633aa61caa3576839759c6561d",
-      "bytes": 873151,
-      "rows": 37,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/train/numina-000392-0001-b753a4ad3011c550.parquet",
-      "sha256": "b753a4ad3011c550645596a71b77d2f6331f1095e0d54a0dee4edbb6d1564dd2",
-      "bytes": 151678,
-      "rows": 4,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    },
-    {
-      "path": "data/internal_test/numina-000392-0000-c190f2a0238ffc3d.parquet",
-      "sha256": "c190f2a0238ffc3ddda87a783aab04931fefe2da26d9b9b10ad6b22737818031",
-      "bytes": 65767,
-      "rows": 12,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:479141d0-7a07-5ba1-8880-ebee516530f4",
     "numina:633769fd-1ec8-5a8a-82fa-363240f7bbd0",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001962.lean\",\"7ce97760da57f6a34a2bf1abf7049e40505287ecb49141717f7880c643878c51\",4,\"number_theory_607777\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001963.lean\",\"5e7c7fb307db03f345778a2a8fb0313018071096fd5f1f9ef2644736421bea4e\",0,\"number_theory_252395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001964.lean\",\"04d17adcf6bf7a9f094aeac93f768a172617b73082114967181754bd9a32724a\",0,\"number_theory_252652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 873151,
+      "path": "data/train/peb/numina-000392-0000-e9c6b32071b1abb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "e9c6b32071b1abb81f1a40e79625785b4f4199633aa61caa3576839759c6561d"
+    },
+    {
+      "bytes": 151678,
+      "path": "data/train/peb/numina-000392-0001-b753a4ad3011c550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b753a4ad3011c550645596a71b77d2f6331f1095e0d54a0dee4edbb6d1564dd2"
+    },
+    {
+      "bytes": 65767,
+      "path": "data/internal_test/peb/numina-000392-0000-c190f2a0238ffc3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c190f2a0238ffc3ddda87a783aab04931fefe2da26d9b9b10ad6b22737818031"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000393.json b/manifests/batches/numina/000393.json
index b2bd1092a15438b9ef371c95ff4e3a3bbc382b52..0b9ba3f07c6a0721ca932a154152e8db5838ced4 100644
--- a/manifests/batches/numina/000393.json
+++ b/manifests/batches/numina/000393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000393",
   "batch_fingerprint": "cc30a133aaef24e002b2db98e0503a89de4c8ea24e84b2fa9dadab2c97e14949",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000393-0000-57dae695e2ce45b2.parquet",
-      "sha256": "57dae695e2ce45b20e7b4dc53f602f84f7ef6b104005bd5e68b9cd747d9f78c1",
-      "bytes": 170273,
-      "rows": 15,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/dev/numina-000393-0000-c54ff864a65e2ecd.parquet",
-      "sha256": "c54ff864a65e2ecd84244c8f7e24e4add2fd18da18a4be1d67e110b7a1704066",
-      "bytes": 37674,
-      "rows": 3,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    },
-    {
-      "path": "data/internal_test/numina-000393-0000-69ee6a379b038412.parquet",
-      "sha256": "69ee6a379b038412a5f6c760b3adf833ec94d4f3c2c87b74616550945a8518fb",
-      "bytes": 189439,
-      "rows": 26,
-      "revision": "43c2f425e904ff0ff9a7eb42dd2aaa7eaf327075"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09998819-54a8-5482-85e3-4c207d51b164",
     "numina:16c6af9f-93d2-5312-ab69-56fbeb090019",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001967.lean\",\"427c6f20a7d72bacf239aed64bd23f3aded5c0ec582a750008712bd5b08c951b\",0,\"number_theory_253102\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001968.lean\",\"cb2ea299d42322d19ca77b9880b3ab7c37e6b0588ce2fe2029f24f0d6a9c65bb\",0,\"number_theory_253115\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001969.lean\",\"3f5239a41c8aab6bb4349483aabf5f861761154717abdc556d423ddb6ae1ab34\",0,\"algebra_253311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170273,
+      "path": "data/train/p29/numina-000393-0000-57dae695e2ce45b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "57dae695e2ce45b20e7b4dc53f602f84f7ef6b104005bd5e68b9cd747d9f78c1"
+    },
+    {
+      "bytes": 37674,
+      "path": "data/dev/p29/numina-000393-0000-c54ff864a65e2ecd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c54ff864a65e2ecd84244c8f7e24e4add2fd18da18a4be1d67e110b7a1704066"
+    },
+    {
+      "bytes": 189439,
+      "path": "data/internal_test/p29/numina-000393-0000-69ee6a379b038412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "69ee6a379b038412a5f6c760b3adf833ec94d4f3c2c87b74616550945a8518fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000394.json b/manifests/batches/numina/000394.json
index 3c28c001aea44e67807d1a93c9358e3a778a3b27..bd7d869d311ca9436a453ff9dd3067e208615063 100644
--- a/manifests/batches/numina/000394.json
+++ b/manifests/batches/numina/000394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000394",
   "batch_fingerprint": "bdd359ef29eca48cb94e44659acf83d28456c0c8ef6b5cde5235b64a79755f40",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000394-0000-7cb5d316b503ca73.parquet",
-      "sha256": "7cb5d316b503ca73de1164adcd9aa79b376b2edb1112e4db718c890a8147fbc1",
-      "bytes": 522242,
-      "rows": 39,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c55c967-95ec-506e-a598-5a950bf40227",
     "numina:7943e5d0-1085-51b8-ae77-f4ad63991514",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001972.lean\",\"bc51df59fd27f40ed93c8503f6033398bc69e256061a36a6b11610388e90a832\",0,\"algebra_254237\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001973.lean\",\"4a7d44dd8b10e274deb624aaf6c863f71d850155b9ee412f283118c03566f91e\",1,\"algebra_254279\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001974.lean\",\"e91e62c66d39eb50e612f2a3904c20c57062b2271c08ee6fcc685e83b2dfe455\",0,\"inequalities_254459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 522242,
+      "path": "data/train/pc5/numina-000394-0000-7cb5d316b503ca73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7cb5d316b503ca73de1164adcd9aa79b376b2edb1112e4db718c890a8147fbc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000395.json b/manifests/batches/numina/000395.json
index 6298a1a289e2e0054c44353f837dc88b0275f3f8..dd02d9135d875aded94e9862033dcc94875f2aa7 100644
--- a/manifests/batches/numina/000395.json
+++ b/manifests/batches/numina/000395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000395",
   "batch_fingerprint": "89a74657200a152d6b29fafa8193f6d2038baa1d337c4ee3cb6773b496f06192",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000395-0000-5cfa6eacd9a06e32.parquet",
-      "sha256": "5cfa6eacd9a06e329ecbcde3875e4fa3e1611e75cb3ca985a8e8cdab8e209776",
-      "bytes": 755213,
-      "rows": 35,
-      "revision": "ce1b852b9dac4482fe8385abc81b257281bc75bc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d9c347b-a0dd-5a17-9258-71773f79a5ee",
     "numina:870daf9c-57c0-531c-b9b9-c5fab027184b",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001977.lean\",\"56ca8df68b9511e61a92677a3547d73d27e1952ca87c19339c4c2cdaf6e8ae45\",2,\"number_theory_255479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001978.lean\",\"cf9fbd191c3d6d16c8f52fd6a4020ebfd4135e1f37c72980e5c315e18cb238ca\",13,\"number_theory_60777\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001979.lean\",\"595aa224c040323c51ec53c50708237a544e5b3dfe7bd1c2e96d86f6f2e673bd\",0,\"number_theory_255881\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 755213,
+      "path": "data/train/p13/numina-000395-0000-5cfa6eacd9a06e32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "5cfa6eacd9a06e329ecbcde3875e4fa3e1611e75cb3ca985a8e8cdab8e209776"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000396.json b/manifests/batches/numina/000396.json
index 2c4763c48f0c6d87fea12c2c94ded2fb58382f5d..ad117d66390a357743ab88b438dec892c452b8c7 100644
--- a/manifests/batches/numina/000396.json
+++ b/manifests/batches/numina/000396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000396",
   "batch_fingerprint": "77c34d5b882fe1b55ad2c33e20392b11630a014938f5b6132f9ee9b31b904ce9",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000396-0000-2b0f73185b6a87d3.parquet",
-      "sha256": "2b0f73185b6a87d33c36a2d65683fd0ca6d438835e88d7210073db0ab9e2d188",
-      "bytes": 226293,
-      "rows": 32,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05b00272-d154-57e1-a3f9-9c59b7f98a86",
     "numina:2130d1e6-09a2-5c52-a566-3b6c1252c990",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001981.lean\",\"c90870ae91ad982508f0642b5c7859f3cfd62f95c8b8094dc65433669dfd4e11\",0,\"algebra_256146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001982.lean\",\"2ac07be3e90c00da13340b8e209a2db078e835d7e838e65e2c3efccab8192e2b\",0,\"algebra_256837\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001983.lean\",\"3a6a3529a3bc8e553ee148b6488de26d5f7966521caa1e55fc511bca2c26f0ca\",1,\"number_theory_256910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226293,
+      "path": "data/train/p84/numina-000396-0000-2b0f73185b6a87d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "2b0f73185b6a87d33c36a2d65683fd0ca6d438835e88d7210073db0ab9e2d188"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000397.json b/manifests/batches/numina/000397.json
index 4923fd2e182a9e9a4545043a45188f62ee8d4ef2..4009a11f48f136e1c322767adfbba41ad534f52e 100644
--- a/manifests/batches/numina/000397.json
+++ b/manifests/batches/numina/000397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000397",
   "batch_fingerprint": "c1438bbdd8ab21e9c3012b184f3c00e9145debdc962e3a31d9f5faf406a19fc8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000397-0000-d547cb28dfe6ad21.parquet",
-      "sha256": "d547cb28dfe6ad21b7af45adff8ed44829268b8237271b3c2be6d2ce023d3a74",
-      "bytes": 574751,
-      "rows": 56,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:58829e37-afeb-53c3-bf8f-95dc4887089c",
     "numina:5ae3e9a4-42f3-5b90-8159-819e853c27ab",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001987.lean\",\"5fbcde9462543d0fdcca31566f89cbefbcca96b4c61104b7500be58e710f5c16\",0,\"inequalities_257990\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001988.lean\",\"2a03ad6a73eaefcf411ca149b1c40adeb142eb4e11cf525c0b64b605ca997732\",0,\"number_theory_258161\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001989.lean\",\"dce68abb25012eeb7a04f78ac73200df15ca1f0db92331d7bad92768e6995be4\",0,\"number_theory_258749\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 574751,
+      "path": "data/train/p9f/numina-000397-0000-d547cb28dfe6ad21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "d547cb28dfe6ad21b7af45adff8ed44829268b8237271b3c2be6d2ce023d3a74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000398.json b/manifests/batches/numina/000398.json
index 407da8e6c427366867cd01fde331ca01263bdf0e..cd52278f1876c73b8bb6a27d173d0023b7cb7b0e 100644
--- a/manifests/batches/numina/000398.json
+++ b/manifests/batches/numina/000398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000398",
   "batch_fingerprint": "9a7c44f1da75077bb331112e5ad60314881085aaa3d95377450de3973bf3ff7e",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000398-0000-d771891eb5edd37c.parquet",
-      "sha256": "d771891eb5edd37c8261329362a48152e0c484533eee3da92172e513cac71cf1",
-      "bytes": 553571,
-      "rows": 67,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:33552183-5949-5ca1-93fc-9b00eecb6150",
     "numina:940e0148-ee93-51d8-90e0-6227c0631efa",
@@ -59,5 +50,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001991.lean\",\"6ff900d065782a0cbfc2ce134e6cd4bd95bfa45fc012c87b8c86cdee99674df9\",4,\"inequalities_259333\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001992.lean\",\"4f8ee363604d6436be51676434445d6f21709ae73aa40dd012053f98f8347579\",0,\"number_theory_259691\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001994.lean\",\"f860b1f56b37dfa5d74e14182055831feb5d9b720cdb1c0251767ab0e5f23793\",0,\"number_theory_259954\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 553571,
+      "path": "data/train/p9d/numina-000398-0000-d771891eb5edd37c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "d771891eb5edd37c8261329362a48152e0c484533eee3da92172e513cac71cf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000399.json b/manifests/batches/numina/000399.json
index 32e3c57f8e1692e74dc6ff6343b065bc258312dd..2e0918a4a276b32038d6ed3597ef66031acb30c7 100644
--- a/manifests/batches/numina/000399.json
+++ b/manifests/batches/numina/000399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000399",
   "batch_fingerprint": "b168c5c24b3b8fa42d526dac6e40744ff6d82305d8b04837e1829e9e88521770",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0069fb2e-318c-55db-a9a7-b0b46b6285ad",
+    "numina:07cca576-b89c-56f7-b7b2-d157bf8e9193",
+    "numina:872290ff-118a-5b86-a061-fa3ac649655c",
+    "numina:955429b3-757b-5e2c-9ea6-d95dd5f1b931",
+    "numina:cfe7004d-57a0-5476-8abe-c1753e0393e1"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001995.lean\",\"0b030ddccc16e379273b74c454c05fe54ee4506051373d4162692b3a7813e67e\",0,\"number_theory_260083\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001996.lean\",\"7c7114dc8b39989b45fcae1834d115de4d19e46aaa59c15682a198cfc84462d5\",0,\"algebra_260552\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001997.lean\",\"1a3398ef8e4dbffbf55bed302a6120c7cdb5e86720d3807b77d45cc4dd658f2d\",0,\"algebra_260562\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001998.lean\",\"044c51738bfd17711c0f86f423685d509b1afa9a7b5a5ad50e39f1b3e7530d70\",5,\"number_theory_260669\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001999.lean\",\"3f4bbb61717bb2e0bed726502eb1b2a1dfd948ddb08539ca9c12b0e0fea5a497\",0,\"number_theory_260851\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000399-0000-bc46f0813eec16fa.parquet",
-      "sha256": "bc46f0813eec16fa8ab32b9b5e118f5d73f48781a9ae00ebe11a9f6eb62a052a",
       "bytes": 77240,
+      "path": "data/train/pc6/numina-000399-0000-bc46f0813eec16fa.parquet",
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       "rows": 5,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
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-      "sha256": "98f916a6c2e774f4d170fc3412279dad656a1142b4ab6d8cc9ee0771ab07d3aa",
       "bytes": 802987,
+      "path": "data/train/pc6/numina-000399-0001-98f916a6c2e774f4.parquet",
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       "rows": 1,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "98f916a6c2e774f4d170fc3412279dad656a1142b4ab6d8cc9ee0771ab07d3aa"
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     {
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-      "sha256": "e08590a89815beca949519f74c984c1e2d45b4fdc0de971c642a677439338119",
       "bytes": 368341,
+      "path": "data/train/pc6/numina-000399-0002-e08590a89815beca.parquet",
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       "rows": 29,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "e08590a89815beca949519f74c984c1e2d45b4fdc0de971c642a677439338119"
     },
     {
-      "path": "data/dev/numina-000399-0000-5db7e0ee802c6b2f.parquet",
-      "sha256": "5db7e0ee802c6b2f9d9db63a6ad22d4a3a84c6f1e965691139405a354fe9e5c9",
       "bytes": 161730,
+      "path": "data/dev/pc6/numina-000399-0000-5db7e0ee802c6b2f.parquet",
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       "rows": 18,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "5db7e0ee802c6b2f9d9db63a6ad22d4a3a84c6f1e965691139405a354fe9e5c9"
     }
-  ],
-  "proof_ids": [
-    "numina:0069fb2e-318c-55db-a9a7-b0b46b6285ad",
-    "numina:07cca576-b89c-56f7-b7b2-d157bf8e9193",
-    "numina:872290ff-118a-5b86-a061-fa3ac649655c",
-    "numina:955429b3-757b-5e2c-9ea6-d95dd5f1b931",
-    "numina:cfe7004d-57a0-5476-8abe-c1753e0393e1"
-  ],
-  "proof_keys": [
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-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001997.lean\",\"1a3398ef8e4dbffbf55bed302a6120c7cdb5e86720d3807b77d45cc4dd658f2d\",0,\"algebra_260562\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001998.lean\",\"044c51738bfd17711c0f86f423685d509b1afa9a7b5a5ad50e39f1b3e7530d70\",5,\"number_theory_260669\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_001999.lean\",\"3f4bbb61717bb2e0bed726502eb1b2a1dfd948ddb08539ca9c12b0e0fea5a497\",0,\"number_theory_260851\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000400.json b/manifests/batches/numina/000400.json
index c8d2352b07ec71d23a461de1eac452ad68fa9b83..4ea463b677680dced6083879d70063fb58bbadb2 100644
--- a/manifests/batches/numina/000400.json
+++ b/manifests/batches/numina/000400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000400",
   "batch_fingerprint": "fec320ff3787e16068e594827189f7617c6925c1388da9a836a8a2ff1b549c47",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000400-0000-81bd9f845a18b18b.parquet",
-      "sha256": "81bd9f845a18b18b9aff90cab05594124a986cc66ef168d4ced9a5e35e3d1595",
-      "bytes": 612102,
-      "rows": 47,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/dev/numina-000400-0000-f29dd7bf43539bb8.parquet",
-      "sha256": "f29dd7bf43539bb80fb03a51a92d5542a3ea8074a0f0c0718d410f258eae3bf1",
-      "bytes": 210358,
-      "rows": 4,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09b3e1f1-1502-5baa-acda-9f851a337065",
     "numina:256298f2-038c-53c9-b8ca-0f4a996e8333",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002002.lean\",\"b402e35e5b451475ecdd7b051e63e70398f0521c0d4ca40fd36b2950f24171b8\",0,\"algebra_261609\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002003.lean\",\"a242c1da133544e067c3df3afc725118bc47748600b69a449750d45660156b6d\",2,\"algebra_261956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002004.lean\",\"d645b4d36a24c026ced831a449579c66879eae2d1d5b0d3c4d3b9e5d9742acb2\",0,\"algebra_262162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612102,
+      "path": "data/train/p70/numina-000400-0000-81bd9f845a18b18b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "81bd9f845a18b18b9aff90cab05594124a986cc66ef168d4ced9a5e35e3d1595"
+    },
+    {
+      "bytes": 210358,
+      "path": "data/dev/p70/numina-000400-0000-f29dd7bf43539bb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f29dd7bf43539bb80fb03a51a92d5542a3ea8074a0f0c0718d410f258eae3bf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000401.json b/manifests/batches/numina/000401.json
index 0104eb2b78152f0d12d0a05f90d8c991e7d71b7f..d91d680bf7a61ac3f05d234649d5c280e45c79ca 100644
--- a/manifests/batches/numina/000401.json
+++ b/manifests/batches/numina/000401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000401",
   "batch_fingerprint": "7d018b37a149416da88f4f099cc191659bd91c186ef2821ab2db75e156a8ed5d",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000401-0000-508dc4f4c391917f.parquet",
-      "sha256": "508dc4f4c391917fc3c8c03629cb55eecd459a240d0769a33dc95367783a9e2b",
-      "bytes": 891834,
-      "rows": 35,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0634ef86-07e9-53ee-92cf-82f9631bda23",
     "numina:3fef53dd-58eb-5436-b87f-a89a0d5b2957",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002006.lean\",\"2362e3786801b93b8b3540e3f391d53714ca7eb4cf6352a4670cac028ac7f0ee\",0,\"algebra_262876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002008.lean\",\"eaae5c146b1d36e2e049b115fd8e4e42c04643fdd9b5a95d38edf42af986abdc\",0,\"algebra_263261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002009.lean\",\"cabcac67368349b81b8acbaba75a97e7b0a6317ea094feac4ac0f20a41e15b52\",0,\"algebra_263785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 891834,
+      "path": "data/train/p79/numina-000401-0000-508dc4f4c391917f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "508dc4f4c391917fc3c8c03629cb55eecd459a240d0769a33dc95367783a9e2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000402.json b/manifests/batches/numina/000402.json
index 7fa02e2871a1aa89a242ab8daecb7eb10b94bb8d..9c4b207d48bb583bcc86a7f0e87ab15a30c44680 100644
--- a/manifests/batches/numina/000402.json
+++ b/manifests/batches/numina/000402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000402",
   "batch_fingerprint": "cdb7140e9ffdcaa7fc0a5d1f51707ecb42462785b201c0fd0c125f2bd14b5ee8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000402-0000-522b7db8a1e29ec0.parquet",
-      "sha256": "522b7db8a1e29ec002201e06028d2d865343102ac3e0d23346b021f8536ad950",
-      "bytes": 224526,
-      "rows": 28,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/internal_test/numina-000402-0000-f3d995f0a3ee414c.parquet",
-      "sha256": "f3d995f0a3ee414c805d0137b9d8741d3cd46f656439235cb16fa02ae5c2b66e",
-      "bytes": 142762,
-      "rows": 3,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00c4cc18-1136-5ef2-be00-4a380c50a348",
     "numina:65c71c0f-3759-5391-8159-74e6d92278cd",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002012.lean\",\"420c15cc83b9fc7f01966aced86aac1b7e3ff3b55cca5b2ecb3a0eb179f9904e\",0,\"algebra_264625\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002013.lean\",\"30d497dd2f3cddbe004e893759bfdc1ed9d2597aa6a26dd888adf888b8e7a263\",1,\"inequalities_264692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002014.lean\",\"d658a661c6292759a722139d6d5fd70f27bdc2ee67a386cc1425e6989e7fbda9\",0,\"number_theory_264877\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224526,
+      "path": "data/train/p35/numina-000402-0000-522b7db8a1e29ec0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "522b7db8a1e29ec002201e06028d2d865343102ac3e0d23346b021f8536ad950"
+    },
+    {
+      "bytes": 142762,
+      "path": "data/internal_test/p35/numina-000402-0000-f3d995f0a3ee414c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f3d995f0a3ee414c805d0137b9d8741d3cd46f656439235cb16fa02ae5c2b66e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000403.json b/manifests/batches/numina/000403.json
index 28478b06a1b100ad371798f4c97cacf168fe9646..09329a62efb8bdaf9862050533288ff5ede6b10f 100644
--- a/manifests/batches/numina/000403.json
+++ b/manifests/batches/numina/000403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000403",
   "batch_fingerprint": "2dbf8f5baa98adcde6ab8a3dd044ed59a8f439cfb9fb7c8ea2b099548a3ff192",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000403-0000-58054e23eba518e6.parquet",
-      "sha256": "58054e23eba518e63e6a387373491c64c4055fba67ef4a75ec92531fc6bd5840",
-      "bytes": 594663,
-      "rows": 37,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b193311-656c-51cc-ac1e-a214391a5e90",
     "numina:77d56423-a46e-5282-8461-a0df9de2136c",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002017.lean\",\"f8901aa5c4bbca9ae560e8c14290a7dde879f518118399397e2befc7cbce784d\",1,\"number_theory_603333\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002018.lean\",\"d843ef114de8c170379660477eda669a68c52a1fade52c854667b630acb985ec\",1,\"number_theory_265551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002019.lean\",\"232331e69e36ab3d858d5f90e22d3c9320168f1cde72702133f0dacf86ba6d33\",0,\"number_theory_6012123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 594663,
+      "path": "data/train/pa7/numina-000403-0000-58054e23eba518e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "58054e23eba518e63e6a387373491c64c4055fba67ef4a75ec92531fc6bd5840"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000404.json b/manifests/batches/numina/000404.json
index 17e35178e15ef5aa290ed8b53f4998b81090285d..deb3b801d37439d3cd87ff4fbdb230e61f8f74c7 100644
--- a/manifests/batches/numina/000404.json
+++ b/manifests/batches/numina/000404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000404",
   "batch_fingerprint": "fd5ef5ad29a63229f2ef65563f223fa99b2cd66adaa27521f6ce7dd4b0fb90e9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000404-0000-1fde304b8d8ab9a8.parquet",
-      "sha256": "1fde304b8d8ab9a8038863c9f5ed5f5ec189a21f241dda0e05525d3ffa4b85b7",
-      "bytes": 525763,
-      "rows": 38,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05851e5b-07e8-5445-b45e-cf7f40bee7af",
     "numina:1a6d84a0-21ad-5439-b25d-0007390af7dd",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002022.lean\",\"96d1e1bdf2ff372ca6a2b97fbd2fd2941b23a20c5f6c0b2e0d4ad8f5f09ba0c6\",0,\"number_theory_266457\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002023.lean\",\"4f99ed0c3e1926a12a0c49249d8b84de2c2efe883af8b0ba01b12994b70e1e85\",0,\"algebra_266734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002024.lean\",\"37423f14eb26f24f17048d8cd13d0c3ff2be53222bb188843c1684e8dffbff08\",0,\"number_theory_266812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525763,
+      "path": "data/train/p40/numina-000404-0000-1fde304b8d8ab9a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "1fde304b8d8ab9a8038863c9f5ed5f5ec189a21f241dda0e05525d3ffa4b85b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000405.json b/manifests/batches/numina/000405.json
index 41f59fa1a2fd7ed49f1697d7825a6d7bd2244d0a..c07b2e2c412c777a771d7bc1fe832a3fc385d889 100644
--- a/manifests/batches/numina/000405.json
+++ b/manifests/batches/numina/000405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000405",
   "batch_fingerprint": "7eb2f5141863e15816fe79cc3f99ac92c53659bc859117890f830c6f168dce2b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000405-0000-7bcc9bc318d8e0ea.parquet",
-      "sha256": "7bcc9bc318d8e0ea51317680f6064f76aa1a6d1ee59e11c303003c48a29b7a29",
-      "bytes": 427878,
-      "rows": 23,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/train/numina-000405-0001-ea1c3ea023b23bff.parquet",
-      "sha256": "ea1c3ea023b23bff50ea5bd90853ede84d1fb67cf061d2ba490c33b784f2cf45",
-      "bytes": 407524,
-      "rows": 4,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:031dc716-c6e1-573b-8af5-328c83b5ab0d",
     "numina:038334ce-75c0-5b83-93e4-7fa866bfcbae",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002027.lean\",\"341ad8a5b7de5803b53dba129e2abd29a89bbca60018ae634209a53dd274f41c\",0,\"number_theory_267636\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002028.lean\",\"2b7a90038178f409a3898740f5940daa9b7c8f75203a712c02f3a8389bb548d4\",0,\"algebra_268175\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002029.lean\",\"c3f08f5845b6d5e92f02752defecf3018b799a75062c44805d087eccd2c84c23\",0,\"number_theory_269047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 427878,
+      "path": "data/train/p40/numina-000405-0000-7bcc9bc318d8e0ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7bcc9bc318d8e0ea51317680f6064f76aa1a6d1ee59e11c303003c48a29b7a29"
+    },
+    {
+      "bytes": 407524,
+      "path": "data/train/p40/numina-000405-0001-ea1c3ea023b23bff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ea1c3ea023b23bff50ea5bd90853ede84d1fb67cf061d2ba490c33b784f2cf45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000406.json b/manifests/batches/numina/000406.json
index 11a4a17b7bc5fa3dca54a4847f4936a69adb5919..9671a91da41428bcccb2c90a3e2b1ce140a997a2 100644
--- a/manifests/batches/numina/000406.json
+++ b/manifests/batches/numina/000406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000406",
   "batch_fingerprint": "20823e4f2a0a6aaf240137823e63459ce6f62adc35a2fd5f9b74204a8a7e7227",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000406-0000-36fbd0fda73b48ca.parquet",
-      "sha256": "36fbd0fda73b48ca12b0d9354bed12de4f3fa2f14d54719c836a78f8fd58188b",
-      "bytes": 324858,
-      "rows": 31,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:654c66c2-7ca9-5d93-9ed3-1786c782d654",
     "numina:c1a68514-edfb-5e74-95fd-9d487f6d4587",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002030.lean\",\"cf7383693af26b415ca46b2588500e2a59ebfa9ad897b48ea012f702df264869\",1,\"number_theory_269084\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002032.lean\",\"42630a2549f48363d9c297c115d4971ef623104b78bd31b24fd37f8bef520123\",0,\"number_theory_609447\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002033.lean\",\"39c4749e748b48901fb48a19397da53d4d8d21b88a0fd3458b4f5dcb2b2f711a\",0,\"number_theory_269893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324858,
+      "path": "data/train/p5e/numina-000406-0000-36fbd0fda73b48ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "36fbd0fda73b48ca12b0d9354bed12de4f3fa2f14d54719c836a78f8fd58188b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000407.json b/manifests/batches/numina/000407.json
index db17c7994f21f758c6a7505be024677da878191e..01f653ea3573635b882a767969174742d5f64e38 100644
--- a/manifests/batches/numina/000407.json
+++ b/manifests/batches/numina/000407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000407",
   "batch_fingerprint": "1fc4a6822b33bc46a45a51c17565c27d3a278c5afabdcbf2a3509baf9a55c8e6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000407-0000-4d9f9d4de3d066ed.parquet",
-      "sha256": "4d9f9d4de3d066edfec97b35888f101d0acc3b2e3baaa3c29d1d52b5832162e7",
-      "bytes": 432337,
-      "rows": 77,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    },
-    {
-      "path": "data/internal_test/numina-000407-0000-4ca533f6f5f59c7b.parquet",
-      "sha256": "4ca533f6f5f59c7b401df6ff5d68144a54b5600fba91af15680af5f0bf4df7da",
-      "bytes": 102962,
-      "rows": 18,
-      "revision": "fc9dfbf36fda4d82898a08a589bf28f691822f49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e8c02ae-f727-58fa-95f8-977c79af6a04",
     "numina:0f856138-f664-52ea-9490-2402f86e39db",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002037.lean\",\"6f11b17e99b835c6a3ea8615d94d9720fd3f406c92fcce66132ca1c78ca4e607\",0,\"algebra_270786\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002038.lean\",\"df9538b188133c4db530ad30590575c555467d08dda162811e340d70a03a8bc0\",0,\"algebra_270790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002039.lean\",\"6ef8582fb3690caf7d33eac492338cf61b9262b00d15a3db6a229f63d0d7ee7d\",0,\"algebra_271198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432337,
+      "path": "data/train/p5d/numina-000407-0000-4d9f9d4de3d066ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "4d9f9d4de3d066edfec97b35888f101d0acc3b2e3baaa3c29d1d52b5832162e7"
+    },
+    {
+      "bytes": 102962,
+      "path": "data/internal_test/p5d/numina-000407-0000-4ca533f6f5f59c7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4ca533f6f5f59c7b401df6ff5d68144a54b5600fba91af15680af5f0bf4df7da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000408.json b/manifests/batches/numina/000408.json
index 9325d1d38effea5d06eb4bd33035e71230bb531e..fc336887b4dc652fe1e1d8166a9994922d083f31 100644
--- a/manifests/batches/numina/000408.json
+++ b/manifests/batches/numina/000408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000408",
   "batch_fingerprint": "142c60124ba5399f7b028c41a6c4cf4b93f777385b6c35849ca4163d2ccd1e8f",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3cfae0dd-40b2-58c1-a1fe-c14fba4d1972",
+    "numina:3f17ddcb-3203-58b7-807a-7c57a4053002",
+    "numina:c4456560-b241-5f88-9e5f-9b35a837a2b7",
+    "numina:e8767ced-040f-545f-9a36-f0407b660845",
+    "numina:e94fdf7f-dcb1-5c1a-a154-c7a599ae5e1b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002040.lean\",\"8c7d4ae2622bbf2b3086db9c3535a98a0c48bee706c762d4388a69deafb0744a\",4,\"number_theory_271677\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002041.lean\",\"b16f2974aeed4466020964aeaa7813a6adf88da063672192a62d6fb48032c18b\",0,\"number_theory_271817\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002042.lean\",\"4037ce68bda9cce271a3732d3e6a1f156b6666eb54bdd6152a66126579374c2f\",0,\"algebra_272387\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002043.lean\",\"ef21c77c218ee9da8cdccd689aa493e60018dd095384c40b410ccbfea45bf487\",0,\"number_theory_272462\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002044.lean\",\"99487db3c0eacffc87522e908c2dab57ff8bcd1b29ea4de8fcc58e9ca770a0b8\",0,\"algebra_272515\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000408-0000-2b3af3980babc304.parquet",
-      "sha256": "2b3af3980babc304bc20bff87435d55712b791528a1c9c2700ca228d271e4cc9",
       "bytes": 273098,
+      "path": "data/train/p47/numina-000408-0000-2b3af3980babc304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "2b3af3980babc304bc20bff87435d55712b791528a1c9c2700ca228d271e4cc9"
     },
     {
-      "path": "data/internal_test/numina-000408-0000-a8a4a6a3d5e245c6.parquet",
-      "sha256": "a8a4a6a3d5e245c6cf5dc1d73825c05a5e51e85f8f970eca3f602a8270427be3",
       "bytes": 693125,
+      "path": "data/internal_test/p47/numina-000408-0000-a8a4a6a3d5e245c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 39,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "a8a4a6a3d5e245c6cf5dc1d73825c05a5e51e85f8f970eca3f602a8270427be3"
     },
     {
-      "path": "data/internal_test/numina-000408-0001-4a5291ba7b4cf72b.parquet",
-      "sha256": "4a5291ba7b4cf72b9d0e38987fd52f5ef6661c7e94eeaa219172568cfa01b6c3",
       "bytes": 1212726,
+      "path": "data/internal_test/p47/numina-000408-0001-4a5291ba7b4cf72b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "4a5291ba7b4cf72b9d0e38987fd52f5ef6661c7e94eeaa219172568cfa01b6c3"
     },
     {
-      "path": "data/internal_test/numina-000408-0002-ae34c0c6988e54bd.parquet",
-      "sha256": "ae34c0c6988e54bd18c3f4444fabb44a6d19657d0acd0ecb73576f0ea6908fd1",
       "bytes": 209224,
+      "path": "data/internal_test/p47/numina-000408-0002-ae34c0c6988e54bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
+      "sha256": "ae34c0c6988e54bd18c3f4444fabb44a6d19657d0acd0ecb73576f0ea6908fd1"
     }
-  ],
-  "proof_ids": [
-    "numina:3cfae0dd-40b2-58c1-a1fe-c14fba4d1972",
-    "numina:3f17ddcb-3203-58b7-807a-7c57a4053002",
-    "numina:c4456560-b241-5f88-9e5f-9b35a837a2b7",
-    "numina:e8767ced-040f-545f-9a36-f0407b660845",
-    "numina:e94fdf7f-dcb1-5c1a-a154-c7a599ae5e1b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002040.lean\",\"8c7d4ae2622bbf2b3086db9c3535a98a0c48bee706c762d4388a69deafb0744a\",4,\"number_theory_271677\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002041.lean\",\"b16f2974aeed4466020964aeaa7813a6adf88da063672192a62d6fb48032c18b\",0,\"number_theory_271817\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002042.lean\",\"4037ce68bda9cce271a3732d3e6a1f156b6666eb54bdd6152a66126579374c2f\",0,\"algebra_272387\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002043.lean\",\"ef21c77c218ee9da8cdccd689aa493e60018dd095384c40b410ccbfea45bf487\",0,\"number_theory_272462\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002044.lean\",\"99487db3c0eacffc87522e908c2dab57ff8bcd1b29ea4de8fcc58e9ca770a0b8\",0,\"algebra_272515\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000409.json b/manifests/batches/numina/000409.json
index 8a87112f7340e56a89be48a2a6c7597b2823f4e2..c50155f0cc8e0660c4d4ed40e52a59469086cb7d 100644
--- a/manifests/batches/numina/000409.json
+++ b/manifests/batches/numina/000409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000409",
   "batch_fingerprint": "c50b9a8f0a912238affd77b10053d09191d5809e9d4ac6cddf1807d58d190bc5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000409-0000-d20145bc0dd34746.parquet",
-      "sha256": "d20145bc0dd347460b1fe7d4cde5bf5067e3788354027083cdc94851f8386071",
-      "bytes": 325438,
-      "rows": 20,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/internal_test/numina-000409-0000-ae52baea68de14cf.parquet",
-      "sha256": "ae52baea68de14cf021181950cff4c7ab8516eb6c2eb7c940eeecae1210fbb7c",
-      "bytes": 380673,
-      "rows": 24,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28c78d44-ec79-5840-94d3-abce867fb6db",
     "numina:54451ea3-88bf-5ea2-9a7d-c82e7f8050a0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002047.lean\",\"9c44b71a4f5c9cd903a01208b67523502bf5a6ebf730281e3b051f7b5c0f7417\",0,\"algebra_273106\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002048.lean\",\"9912871b7427f900f6cf5a90ec79befe876f03187c0c924eb1d6204cfd541e60\",0,\"algebra_274290\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002049.lean\",\"0ad7c4e4113010a4bf84912f674b5e83c6a001e2808229e489dc6ce462b3e588\",0,\"algebra_274465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325438,
+      "path": "data/train/p2b/numina-000409-0000-d20145bc0dd34746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d20145bc0dd347460b1fe7d4cde5bf5067e3788354027083cdc94851f8386071"
+    },
+    {
+      "bytes": 380673,
+      "path": "data/internal_test/p2b/numina-000409-0000-ae52baea68de14cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ae52baea68de14cf021181950cff4c7ab8516eb6c2eb7c940eeecae1210fbb7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000410.json b/manifests/batches/numina/000410.json
index d456f38c19917bc97a8aed7689f783aa571c82fe..5e70a4e83f8b2379d0ed974758c669bb2eb64f35 100644
--- a/manifests/batches/numina/000410.json
+++ b/manifests/batches/numina/000410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000410",
   "batch_fingerprint": "b815ad415a40efef00ca604202974c00cd1062f23d0ca5be4f764a7ed46c1549",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000410-0000-79a5223e367383e2.parquet",
-      "sha256": "79a5223e367383e23fef60deb5f598851d1418be9161bff832445a7fa31ef357",
-      "bytes": 543015,
-      "rows": 25,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    },
-    {
-      "path": "data/dev/numina-000410-0000-b968bd982a6ba5f0.parquet",
-      "sha256": "b968bd982a6ba5f0122dcd3001eeba1ae3c76bfe78ddbad1551ca357cd9f0352",
-      "bytes": 529296,
-      "rows": 17,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:053bd152-359d-5cf6-8562-80185647a2b5",
     "numina:2e5a23db-9797-5812-adf3-8b53e265b6d5",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002052.lean\",\"be3e8edcf63a7ffd22bd93faa514083874d3b8d433ae1ea9212d2bb388303b9f\",0,\"algebra_275202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002053.lean\",\"0c3dee41b4eae6cbe2278b906fcc14237c0f0c4b44b06af11a83c38007e95d75\",0,\"algebra_275453\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002054.lean\",\"edc58dd2059cfe49756f225a38ae6180c21c591cc9c6c6724c97c3d3199b1fa3\",0,\"algebra_275657\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543015,
+      "path": "data/train/p2d/numina-000410-0000-79a5223e367383e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "79a5223e367383e23fef60deb5f598851d1418be9161bff832445a7fa31ef357"
+    },
+    {
+      "bytes": 529296,
+      "path": "data/dev/p2d/numina-000410-0000-b968bd982a6ba5f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b968bd982a6ba5f0122dcd3001eeba1ae3c76bfe78ddbad1551ca357cd9f0352"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000411.json b/manifests/batches/numina/000411.json
index 704fea073a6635f238338acafaeca23841e98823..9dc2f30bc24e7525290aa72f1df2564e39b98f08 100644
--- a/manifests/batches/numina/000411.json
+++ b/manifests/batches/numina/000411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000411",
   "batch_fingerprint": "9e5ac9bf8177c01cdbbe0128a9734cbf4b7c5f403315ac32f3633d36d13709e3",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000411-0000-ff1c0b744b9d1524.parquet",
-      "sha256": "ff1c0b744b9d1524a05dc8df64db358024039e9e610893b50ce6ef556a255d3b",
-      "bytes": 124532,
-      "rows": 20,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3504f902-4711-5abe-869d-b4080060cd23",
     "numina:569d4a4b-91de-5a48-bb15-09c62f6d090a",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002057.lean\",\"1ec9063921230d5231d1b91b6fd831759fb7b962f0cbd3788a42cff65cff3d1d\",2,\"number_theory_276742\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002058.lean\",\"5aee3e5d95f808f84b4ec841814900f35cedf6af82f0cffb3a41d1a9641a7871\",0,\"algebra_276935\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002059.lean\",\"4783af91ffb5c692faa2767a564ae76964966b040cc8a3df996fe80b2945696f\",0,\"algebra_277170\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124532,
+      "path": "data/train/p3a/numina-000411-0000-ff1c0b744b9d1524.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ff1c0b744b9d1524a05dc8df64db358024039e9e610893b50ce6ef556a255d3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000412.json b/manifests/batches/numina/000412.json
index f9ab664be104f4e27762ac1a52228a759e10aa44..a6b6ff2b0eb44c2575704166f4afb2ec88307d7c 100644
--- a/manifests/batches/numina/000412.json
+++ b/manifests/batches/numina/000412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000412",
   "batch_fingerprint": "0fbc5dc35902943598b8c31304fc981a6d2e8700aa09d639c773ea0e97c34f63",
   "evidence": {
@@ -48,22 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000412-0000-c834b9bad8afc6a6.parquet",
-      "sha256": "c834b9bad8afc6a67bec62c1a2c1c9d2aa34fc78e055fc0a9a13d6c0f96a6823",
-      "bytes": 174419,
-      "rows": 7,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    },
-    {
-      "path": "data/internal_test/numina-000412-0000-7cee695f3abb5ab3.parquet",
-      "sha256": "7cee695f3abb5ab3b8b7fd1bdabc11b008c858e1c5d810b96a6eb657c383c262",
-      "bytes": 106084,
-      "rows": 2,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a5838d8-dc29-5df1-83d8-9311ad65d022",
     "numina:34e65df8-97c6-5ae9-b3f5-93e54d1845a7",
@@ -75,5 +59,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002061.lean\",\"5809f8e788f28bb8bb1318c90f1389f7f1e102bde490af6dc1fa86e12f622be3\",0,\"algebra_277589\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002063.lean\",\"16e22351cc0c06f9c2d0af221f3a1277228b56e35e06fcc95262d68c6b23fd6f\",1,\"algebra_277945\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002064.lean\",\"33e716f8d4116d0e4ca8f20293d920c2636a10fed3a7a9f1b7950fa330f8bb5d\",0,\"algebra_278855\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174419,
+      "path": "data/train/p63/numina-000412-0000-c834b9bad8afc6a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c834b9bad8afc6a67bec62c1a2c1c9d2aa34fc78e055fc0a9a13d6c0f96a6823"
+    },
+    {
+      "bytes": 106084,
+      "path": "data/internal_test/p63/numina-000412-0000-7cee695f3abb5ab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7cee695f3abb5ab3b8b7fd1bdabc11b008c858e1c5d810b96a6eb657c383c262"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000413.json b/manifests/batches/numina/000413.json
index 84d7683824c296e53ae2f604a90de9c976cbe8d2..a8675e5adc490586e5d9af75a400964e0d534de2 100644
--- a/manifests/batches/numina/000413.json
+++ b/manifests/batches/numina/000413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000413",
   "batch_fingerprint": "140bee8c6741c2ce87c4567800dd2858a4370666123d5c334baa10914707a2dc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000413-0000-1f0de764ab5ad83b.parquet",
-      "sha256": "1f0de764ab5ad83bed3037f45b0b4456c0beaadb39fd8ca83eade172637b5714",
-      "bytes": 235882,
-      "rows": 9,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    },
-    {
-      "path": "data/internal_test/numina-000413-0000-1ba5898e3c9aa3e4.parquet",
-      "sha256": "1ba5898e3c9aa3e40dd903fc4bc41f32b2a693d264503f3c03315675c055233e",
-      "bytes": 255593,
-      "rows": 29,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c692e8c-fd45-54a0-ab38-3d751a373c24",
     "numina:5bad94b0-212b-56d3-9da7-8a18b4ca0f50",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002067.lean\",\"641638f80492169b27fc284349615e140888dedba26ffb0a2ae01110786d82d6\",0,\"number_theory_279007\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002068.lean\",\"b4bec81541f8b56818ebb182f03e78a1b605838ff9551fa74b1c80a42810db12\",0,\"algebra_279061\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002069.lean\",\"0c00718434efa9bb40b3f181d1d773fd09efd539ef5e63193ce91f730220ce5f\",0,\"algebra_279681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235882,
+      "path": "data/train/p14/numina-000413-0000-1f0de764ab5ad83b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1f0de764ab5ad83bed3037f45b0b4456c0beaadb39fd8ca83eade172637b5714"
+    },
+    {
+      "bytes": 255593,
+      "path": "data/internal_test/p14/numina-000413-0000-1ba5898e3c9aa3e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1ba5898e3c9aa3e40dd903fc4bc41f32b2a693d264503f3c03315675c055233e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000414.json b/manifests/batches/numina/000414.json
index e0809f0a9f612e010380e1e31a3edf0c4115983d..8eb2899996bee6aa932fea2a85394beb9e899774 100644
--- a/manifests/batches/numina/000414.json
+++ b/manifests/batches/numina/000414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000414",
   "batch_fingerprint": "7f932d1609ea1a37e4cda2d8fecff69b867229a31cd7c590d28c5f441fba296b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000414-0000-9474d7bcb02727b6.parquet",
-      "sha256": "9474d7bcb02727b6be208795e79957fb0e30355dc432b404bba861cdb6344d11",
-      "bytes": 285268,
-      "rows": 20,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    },
-    {
-      "path": "data/dev/numina-000414-0000-26043711bec4d32e.parquet",
-      "sha256": "26043711bec4d32e3410b7c80618c3ae222fc7892ac5a884b6e9a9dc0cdae50a",
-      "bytes": 96806,
-      "rows": 3,
-      "revision": "d1828d5bda17d1283650afe61da8a6702a34dfbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57c3b192-34bc-5150-b261-cf40bc3e7954",
     "numina:9219cbfd-cc2c-56a7-8c40-4915a1a0b64c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002072.lean\",\"fa23e6783786955924796f6504cc48c5feca6d3eb0d3048dbc1b7977ffc2818a\",0,\"algebra_280831\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002073.lean\",\"29adeb0c8896b4af28fdb27848dee953eea9e5080f575e052ef5cbe7ca1acf95\",0,\"algebra_281275\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002074.lean\",\"d6827bbbe82c9ed70c3cc52a61720eb80cbe946dd48f31fc1752770b730e02ef\",3,\"algebra_281591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285268,
+      "path": "data/train/p72/numina-000414-0000-9474d7bcb02727b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9474d7bcb02727b6be208795e79957fb0e30355dc432b404bba861cdb6344d11"
+    },
+    {
+      "bytes": 96806,
+      "path": "data/dev/p72/numina-000414-0000-26043711bec4d32e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "26043711bec4d32e3410b7c80618c3ae222fc7892ac5a884b6e9a9dc0cdae50a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000415.json b/manifests/batches/numina/000415.json
index 00bc09288ef38a18808540f9a458effd6530eba2..37da972cf7afa9093042c06f35e32f74df147239 100644
--- a/manifests/batches/numina/000415.json
+++ b/manifests/batches/numina/000415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000415",
   "batch_fingerprint": "3be4116a6c2c92359bd1ab4d81cddc643ddaeb00e8fde6148e1a2e9596f71389",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000415-0000-74e4aa55b8789c25.parquet",
-      "sha256": "74e4aa55b8789c256b44e1db9b37d157f8fb197a75e69691ac2056903c0a02ad",
-      "bytes": 251503,
-      "rows": 22,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/dev/numina-000415-0000-d40b3f431ec22184.parquet",
-      "sha256": "d40b3f431ec22184650f8b599c3952c155fec434b098c5a8be94be1fe552f26c",
-      "bytes": 111882,
-      "rows": 7,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44336d50-3002-5770-8097-048a7f8cf11a",
     "numina:49e7938b-7ee7-5988-b491-761653afeda2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002077.lean\",\"10c7341693040b16035b58172e55312ab2a0f7f503cbec8927c69ff91dc84b6d\",0,\"number_theory_283033\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002078.lean\",\"3d526545bbf9858bbb170ceae1ea56fba0953e6a3d8a2b7549de654791f916c0\",0,\"algebra_283209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002079.lean\",\"6199e8adfe533b27f0f4918e9642317d4dd2dc93e39fd839cd5ea7cedabc06e6\",0,\"algebra_283669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251503,
+      "path": "data/train/pb4/numina-000415-0000-74e4aa55b8789c25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "74e4aa55b8789c256b44e1db9b37d157f8fb197a75e69691ac2056903c0a02ad"
+    },
+    {
+      "bytes": 111882,
+      "path": "data/dev/pb4/numina-000415-0000-d40b3f431ec22184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d40b3f431ec22184650f8b599c3952c155fec434b098c5a8be94be1fe552f26c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000416.json b/manifests/batches/numina/000416.json
index cc18892dc1b14fa41e27add3c5d3ffe50a5f39a3..75d8fb221c8ab5b6ecf2e2be08b384b8fcee3cd5 100644
--- a/manifests/batches/numina/000416.json
+++ b/manifests/batches/numina/000416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000416",
   "batch_fingerprint": "6e5ac18b1128b5b6a9ab6c76fde17288adcb1031ca1c2c4f6d05e03d11085a32",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000416-0000-9c6e77c5fee498e2.parquet",
-      "sha256": "9c6e77c5fee498e2f62b93db04b342e7e924f376e37d6587ea0d299773f870ea",
-      "bytes": 118540,
-      "rows": 11,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:75dfc9fa-42a9-5e5a-acef-aa997d8647d8",
     "numina:7f070670-e4d3-58f8-b922-9b489df6fee2",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002080.lean\",\"bb8ff9241c905d558c7b769648c53e22b7d5bd7e31749205cb6ce8e6ddfd5f49\",6,\"number_theory_283863\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002081.lean\",\"4b6b27853c6806110c9a63fcc250c14eb2f67382a283bce649adb50169eb5884\",0,\"algebra_284058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002083.lean\",\"5ccbb5e0c632d221e1eef9221fd84fca81d5f5cd2cdda3b5d3f138300cc452bc\",0,\"algebra_284363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118540,
+      "path": "data/train/pe1/numina-000416-0000-9c6e77c5fee498e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9c6e77c5fee498e2f62b93db04b342e7e924f376e37d6587ea0d299773f870ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000417.json b/manifests/batches/numina/000417.json
index 36060cdac1a1e6ca850a4615ce133aa551e7c7b2..d9e5247d7a80b322821888e2c079e362d189d586 100644
--- a/manifests/batches/numina/000417.json
+++ b/manifests/batches/numina/000417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000417",
   "batch_fingerprint": "94613ed7692f480ad716ae0c9972087243e40870f742872ee82d9e4235646cfd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000417-0000-4cdb0bb378e434e8.parquet",
-      "sha256": "4cdb0bb378e434e856370c755b6170bfbbcb3b1c89924c12a2a1ad70485f67c6",
-      "bytes": 624268,
-      "rows": 4,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/train/numina-000417-0001-b9b84989d2fd435e.parquet",
-      "sha256": "b9b84989d2fd435ec03f93ff8654f7cc3ece95d0be5fb23be0ef1027296fb2d1",
-      "bytes": 102283,
-      "rows": 16,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4957efa7-2e3f-50f6-ae71-55643efe5b19",
     "numina:574a3709-fa5c-530f-8e6e-96dda4d43683",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002087.lean\",\"990205f1dcfe9156afc1b43a14f4776b2c310711aad44a76a6425c515bff4749\",0,\"algebra_285332\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002088.lean\",\"428e7238624e8ac36ca7295faed5bb77b3fcf7716e121bd9791647bc3f505398\",2,\"number_theory_285545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002089.lean\",\"72234e507421dbae1a51e0bef69360099611782d85711b4c174c64ff23706a36\",0,\"number_theory_286001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624268,
+      "path": "data/train/p71/numina-000417-0000-4cdb0bb378e434e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4cdb0bb378e434e856370c755b6170bfbbcb3b1c89924c12a2a1ad70485f67c6"
+    },
+    {
+      "bytes": 102283,
+      "path": "data/train/p71/numina-000417-0001-b9b84989d2fd435e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b9b84989d2fd435ec03f93ff8654f7cc3ece95d0be5fb23be0ef1027296fb2d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000418.json b/manifests/batches/numina/000418.json
index e5a5145fac871439e2573291647ec847581f9f3d..e9fb17a8b5f27c1a6af7441cd43eff4457b7210e 100644
--- a/manifests/batches/numina/000418.json
+++ b/manifests/batches/numina/000418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000418",
   "batch_fingerprint": "53af713ebfd8931986adba5d8dc5127581c79f2a6a20db309c34bb5f2d687a97",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000418-0000-ce955c2e94f9e2bc.parquet",
-      "sha256": "ce955c2e94f9e2bcb617ab8bc8b2eca9cf79f6edc4f6f29f7f5d92c39b80243c",
-      "bytes": 249624,
-      "rows": 35,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/internal_test/numina-000418-0000-8e7168714bd4ade4.parquet",
-      "sha256": "8e7168714bd4ade49364cd8ade1f577d907267664902319d83fe2594ff125d52",
-      "bytes": 90317,
-      "rows": 18,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3169cfed-7656-5598-8108-4a25c05cfc3b",
     "numina:649b3ed4-d9ab-5d70-9639-7608822c4065",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002092.lean\",\"1188d44a1b1e511d1ebd5de4c9a12c4f34739c7f7c975949b73a43ab69efff35\",0,\"algebra_286339\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002093.lean\",\"06fae955a21b46ffe0b1a6b1db628f78a556ac13e681c591248001d7e4e6fe06\",0,\"number_theory_286497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002094.lean\",\"2a23c3e5a67c2fe104118a116378021a3277600f8b8f7a518f5242d23b45e5aa\",0,\"number_theory_286577\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249624,
+      "path": "data/train/p59/numina-000418-0000-ce955c2e94f9e2bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "ce955c2e94f9e2bcb617ab8bc8b2eca9cf79f6edc4f6f29f7f5d92c39b80243c"
+    },
+    {
+      "bytes": 90317,
+      "path": "data/internal_test/p59/numina-000418-0000-8e7168714bd4ade4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8e7168714bd4ade49364cd8ade1f577d907267664902319d83fe2594ff125d52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000419.json b/manifests/batches/numina/000419.json
index 956ace66ce11913eabc61d66c913558cff03c412..5aa2c2418eae8bce486694f62780afe326840777 100644
--- a/manifests/batches/numina/000419.json
+++ b/manifests/batches/numina/000419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000419",
   "batch_fingerprint": "16e418bfd9946048b2bf728ca6f19ff5ccab671b6177b26134dc5a9b833f6845",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000419-0000-3ac49e96717946a5.parquet",
-      "sha256": "3ac49e96717946a58b99f2202f171f2c1c49f38ad59e16e9969129347d521ace",
-      "bytes": 671293,
-      "rows": 46,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    },
-    {
-      "path": "data/train/numina-000419-0001-931f60fa13364d76.parquet",
-      "sha256": "931f60fa13364d768b0172d2eb6a49aa6d0637a65e021e69f700ccbc17ffb8aa",
-      "bytes": 236739,
-      "rows": 14,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2bc9cbe3-a342-5fe7-8fda-0d2f76c98c66",
     "numina:675038ea-8acb-5de5-a708-425914eb10fb",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002097.lean\",\"bfeaf53bea4da53fefcc913d6b5625c65d02a86e03ee0c6fbeefeb31312e500a\",0,\"algebra_288202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002098.lean\",\"284f678d62fb35dad9e94644697ef50a7ab0da613fafd4c92b37793abb43da07\",3,\"algebra_288410\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002099.lean\",\"c6820a5bca8f296baf1babe4413205ca4e964645d2daa20ac6114c66ab3f0f69\",4,\"calculus_289777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 671293,
+      "path": "data/train/p90/numina-000419-0000-3ac49e96717946a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "3ac49e96717946a58b99f2202f171f2c1c49f38ad59e16e9969129347d521ace"
+    },
+    {
+      "bytes": 236739,
+      "path": "data/train/p90/numina-000419-0001-931f60fa13364d76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "931f60fa13364d768b0172d2eb6a49aa6d0637a65e021e69f700ccbc17ffb8aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000420.json b/manifests/batches/numina/000420.json
index f9adbcb15864f7a7053809fa1f4737cb8d750dc7..dc425cf9a13b58395aa9008aa89813c7a5b70f07 100644
--- a/manifests/batches/numina/000420.json
+++ b/manifests/batches/numina/000420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000420",
   "batch_fingerprint": "012aad458d08ba5ba1924018864dad044a4fc43a5da84ac72dbecfe84701bc38",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000420-0000-75f1aec8a53859e5.parquet",
-      "sha256": "75f1aec8a53859e5f70a4de118d4012aa7fc774e3666d542b98456da1c574ebf",
-      "bytes": 121200,
-      "rows": 15,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b330339-3cab-5c99-ab6b-e6d5a73b0189",
     "numina:74cc6821-b566-5c13-bcc0-deda8203ca4d",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002100.lean\",\"ea64fbb39260477bdf1f510177ceb378574e7d2f8fed497aea20c92698ae945b\",0,\"number_theory_289784\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002102.lean\",\"199e1f95db6e0433559d97315b89d935dc241a7b576bd31604716d99f349f5c6\",0,\"number_theory_290683\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002104.lean\",\"bacd57510607edc121be96c72e8909c96ad6088a7933df55f022c15ddcc16823\",0,\"algebra_290876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121200,
+      "path": "data/train/p5c/numina-000420-0000-75f1aec8a53859e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "75f1aec8a53859e5f70a4de118d4012aa7fc774e3666d542b98456da1c574ebf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000421.json b/manifests/batches/numina/000421.json
index 278c589f68d06f03993cbc40493edafce438e969..86ab8ba5b9539f7c49cd629d0d558fbefa2f4c94 100644
--- a/manifests/batches/numina/000421.json
+++ b/manifests/batches/numina/000421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000421",
   "batch_fingerprint": "483138426b675d338e2970ec20c900efa6c2d95143a24b69aff3500f525e42ed",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0cbaeac5-d32e-5c9a-b43e-444e54461da0",
+    "numina:461d1709-2e41-5985-8d4a-4a0095e43842",
+    "numina:60d9ef43-aa17-5f40-8cd6-4f04133f2e27",
+    "numina:b458610e-e574-5406-b8ca-de60f3af1151",
+    "numina:dade72ea-a65a-568d-bff8-6ad353e164e3"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002105.lean\",\"e99abe645b989eed2e2769d950fcb63ac1a819eddac76c6710d3f7ef8af18291\",0,\"algebra_290898\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002106.lean\",\"5bc0fecdb51b694d64ba7c34541f5492e145b51b230830a072a8225ded2cc511\",5,\"number_theory_291009\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002107.lean\",\"3a73aef47635165d5a7875d1c81d02d2465d3f457dbac223d50c498bdfb85076\",0,\"number_theory_291025\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002108.lean\",\"6125413faf07bda59bc037440938dc86db3e168972271d07be7b92e57827de27\",0,\"number_theory_291417\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002109.lean\",\"0a1a02ba9255ea91587f477b88caa1fad418925534a2d819c7da8ff0192be7c0\",0,\"algebra_291614\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000421-0000-5aab1e0841db2056.parquet",
-      "sha256": "5aab1e0841db2056632a564829880e88677e90d1222739fdf49fc1f4dd2451a8",
       "bytes": 296246,
+      "path": "data/train/p05/numina-000421-0000-5aab1e0841db2056.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
+      "sha256": "5aab1e0841db2056632a564829880e88677e90d1222739fdf49fc1f4dd2451a8"
     },
     {
-      "path": "data/internal_test/numina-000421-0000-47cf16d0fe0470e6.parquet",
-      "sha256": "47cf16d0fe0470e6ed93c9ad646dc5e197a430e95ef5d5117af726fde4a9b740",
       "bytes": 580590,
+      "path": "data/internal_test/p05/numina-000421-0000-47cf16d0fe0470e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
+      "sha256": "47cf16d0fe0470e6ed93c9ad646dc5e197a430e95ef5d5117af726fde4a9b740"
     },
     {
-      "path": "data/internal_test/numina-000421-0001-8a59965954aeda16.parquet",
-      "sha256": "8a59965954aeda167ad371f2c6c59178637ac49d4a2471df5a040724923ad115",
       "bytes": 604608,
+      "path": "data/internal_test/p05/numina-000421-0001-8a59965954aeda16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 29,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
+      "sha256": "8a59965954aeda167ad371f2c6c59178637ac49d4a2471df5a040724923ad115"
     },
     {
-      "path": "data/internal_test/numina-000421-0002-9569942775fae82b.parquet",
-      "sha256": "9569942775fae82b734ea2214e6ddc5857b4705d123c4c70dfa69b0d66988a0c",
       "bytes": 617071,
+      "path": "data/internal_test/p05/numina-000421-0002-9569942775fae82b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 95,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
+      "sha256": "9569942775fae82b734ea2214e6ddc5857b4705d123c4c70dfa69b0d66988a0c"
     }
-  ],
-  "proof_ids": [
-    "numina:0cbaeac5-d32e-5c9a-b43e-444e54461da0",
-    "numina:461d1709-2e41-5985-8d4a-4a0095e43842",
-    "numina:60d9ef43-aa17-5f40-8cd6-4f04133f2e27",
-    "numina:b458610e-e574-5406-b8ca-de60f3af1151",
-    "numina:dade72ea-a65a-568d-bff8-6ad353e164e3"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002105.lean\",\"e99abe645b989eed2e2769d950fcb63ac1a819eddac76c6710d3f7ef8af18291\",0,\"algebra_290898\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002106.lean\",\"5bc0fecdb51b694d64ba7c34541f5492e145b51b230830a072a8225ded2cc511\",5,\"number_theory_291009\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002107.lean\",\"3a73aef47635165d5a7875d1c81d02d2465d3f457dbac223d50c498bdfb85076\",0,\"number_theory_291025\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002108.lean\",\"6125413faf07bda59bc037440938dc86db3e168972271d07be7b92e57827de27\",0,\"number_theory_291417\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002109.lean\",\"0a1a02ba9255ea91587f477b88caa1fad418925534a2d819c7da8ff0192be7c0\",0,\"algebra_291614\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000422.json b/manifests/batches/numina/000422.json
index 8eef0f03f11fb35e2712b93ddd5d11d7e7de5846..f4fbdf4895036f1cf593da0b779c93667b290b03 100644
--- a/manifests/batches/numina/000422.json
+++ b/manifests/batches/numina/000422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000422",
   "batch_fingerprint": "c05c22f406b42dfa52b508cb95c0a959af65dca8e0bda7e64c85a4e7199a3f1d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000422-0000-700f19b1302f34dd.parquet",
-      "sha256": "700f19b1302f34dd21c6491312edc997710bb188af94f976b37ac2a8149debbf",
-      "bytes": 328116,
-      "rows": 31,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05b8ff41-8a24-5d8f-b684-7808596f35f8",
     "numina:7eacf9b6-0ec2-578e-bad1-4cf0aba327c5",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002112.lean\",\"09eb60c29f7c2cb649530b8f63ae8db273265188dd5d7cacda6cd68ae810982c\",3,\"number_theory_292012.number_theory_292012_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002113.lean\",\"bd09d5df2a64463176af3e6ec3dc80f7270523bbdbc8ae15387e25acb1446a9a\",0,\"algebra_292383\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002114.lean\",\"3c31935e7655cc7968c65f900583f83066023729f7acbaafca51944affee100e\",0,\"algebra_292427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328116,
+      "path": "data/train/p51/numina-000422-0000-700f19b1302f34dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "700f19b1302f34dd21c6491312edc997710bb188af94f976b37ac2a8149debbf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000423.json b/manifests/batches/numina/000423.json
index f0efc7568f46781e090d84722373b037b807f613..cdd89d4afc884ac57d8a7d8ca468ca9421dd9054 100644
--- a/manifests/batches/numina/000423.json
+++ b/manifests/batches/numina/000423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000423",
   "batch_fingerprint": "5afe9c50b860a17240f9f08c1082ff247a5caf33386138f42020ed9fef9aa929",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000423-0000-87909a3963810513.parquet",
-      "sha256": "87909a3963810513f964ca257b527eb00e61f275d5f5adf53dfd6347e04e9a8d",
-      "bytes": 473341,
-      "rows": 74,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/dev/numina-000423-0000-fcfaa23cf683428f.parquet",
-      "sha256": "fcfaa23cf683428fa8b9f31dd636638cd97266ec0cbca559405f8814f59fcd54",
-      "bytes": 79182,
-      "rows": 3,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    },
-    {
-      "path": "data/internal_test/numina-000423-0000-8a618f5d8952a61e.parquet",
-      "sha256": "8a618f5d8952a61efe9a1bf90e77995d9f089daec56f827fb3717e8044ba62da",
-      "bytes": 52741,
-      "rows": 8,
-      "revision": "46146c87cb1fbed4703d89f28027a10415e3117c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2781d61f-0a88-558e-b60c-dae767c56f02",
     "numina:45e58e3f-cf89-53de-a4e0-7f3220e5828a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002117.lean\",\"62aa7ffa597b483c597c35e563e6ad3bc0d5b6e7641ff1352074d2c9b957d692\",0,\"algebra_292736\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002118.lean\",\"59f957c74eccf132bc5a931deec569c43c6ad53fec5604d5b1a864dfd872a973\",0,\"number_theory_292888\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002119.lean\",\"d6161f268909979107ed630f465c83c5b68ca5cacf5c679bf8e253e1a0d3ae04\",0,\"number_theory_293643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473341,
+      "path": "data/train/p25/numina-000423-0000-87909a3963810513.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "87909a3963810513f964ca257b527eb00e61f275d5f5adf53dfd6347e04e9a8d"
+    },
+    {
+      "bytes": 79182,
+      "path": "data/dev/p25/numina-000423-0000-fcfaa23cf683428f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fcfaa23cf683428fa8b9f31dd636638cd97266ec0cbca559405f8814f59fcd54"
+    },
+    {
+      "bytes": 52741,
+      "path": "data/internal_test/p25/numina-000423-0000-8a618f5d8952a61e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8a618f5d8952a61efe9a1bf90e77995d9f089daec56f827fb3717e8044ba62da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000424.json b/manifests/batches/numina/000424.json
index 198e9a284ede03fe60befe7cad544c3da1ad9ec0..031b3114cf6957f5e43f8baf4cc9b5b1bf71e4a9 100644
--- a/manifests/batches/numina/000424.json
+++ b/manifests/batches/numina/000424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000424",
   "batch_fingerprint": "be8544d030ba7599348bff880475ed37b9397937e9ef434b4cec52805bf018ed",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:25c5783f-c814-5d30-933c-d31fbcc7e5a6",
+    "numina:48237d3b-4b8e-5024-bc1d-72164ca95136",
+    "numina:665b729a-8c16-54c7-9cec-4880ce46a1cb",
+    "numina:991c6f5f-bb27-555c-9590-84eed07de67d",
+    "numina:a4384fa2-6d2f-5b94-8331-693c70ad858b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002120.lean\",\"f8d9f6b1361d244844170c670004e18ddf588d27f6445e72f0fdeaedc543d3f5\",3,\"inequalities_294107\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002121.lean\",\"d7fd2cb46e97ec2d514dbe15924bc5dd41f846bb8f528eb61fbe5376d4e63f8c\",0,\"number_theory_294332\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002122.lean\",\"5c2638bce112e1f66400fc625d49b12df2cacab8e490ebb11526c5f843f16d04\",0,\"algebra_294898\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002123.lean\",\"641512a9d0b0d16bb18ac7aae726f65323212fc29cd45d0d9dafeea51989655d\",3,\"algebra_294975\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002124.lean\",\"aebeb5d7f2dff8f8ce70bd2c22dc4d91fd4021ee66a449c4407a11a3fdd54995\",1,\"algebra_295526\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000424-0000-e74f526189db5f92.parquet",
-      "sha256": "e74f526189db5f921f51ee1b86c92298d9f6851aea2d5083fe1f71f7018895db",
       "bytes": 382385,
+      "path": "data/train/pbe/numina-000424-0000-e74f526189db5f92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
+      "sha256": "e74f526189db5f921f51ee1b86c92298d9f6851aea2d5083fe1f71f7018895db"
     },
     {
-      "path": "data/train/numina-000424-0001-247f83c2efcea34d.parquet",
-      "sha256": "247f83c2efcea34dd58f1f6ea3b6d1bbddbfa8fb31f90e7a73113fefc286faed",
       "bytes": 629353,
+      "path": "data/train/pbe/numina-000424-0001-247f83c2efcea34d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
+      "sha256": "247f83c2efcea34dd58f1f6ea3b6d1bbddbfa8fb31f90e7a73113fefc286faed"
     },
     {
-      "path": "data/dev/numina-000424-0000-b66fa1d97c652e8c.parquet",
-      "sha256": "b66fa1d97c652e8c74218d02a92d149862ff5886dfe69fb4e3a5e1b424507054",
       "bytes": 58322,
+      "path": "data/dev/pbe/numina-000424-0000-b66fa1d97c652e8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
+      "sha256": "b66fa1d97c652e8c74218d02a92d149862ff5886dfe69fb4e3a5e1b424507054"
     },
     {
-      "path": "data/internal_test/numina-000424-0000-0111a38a2e172868.parquet",
-      "sha256": "0111a38a2e172868b53368471623cffc42405f97a034da780ee395e7744cd4c6",
       "bytes": 88318,
+      "path": "data/internal_test/pbe/numina-000424-0000-0111a38a2e172868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
+      "sha256": "0111a38a2e172868b53368471623cffc42405f97a034da780ee395e7744cd4c6"
     }
-  ],
-  "proof_ids": [
-    "numina:25c5783f-c814-5d30-933c-d31fbcc7e5a6",
-    "numina:48237d3b-4b8e-5024-bc1d-72164ca95136",
-    "numina:665b729a-8c16-54c7-9cec-4880ce46a1cb",
-    "numina:991c6f5f-bb27-555c-9590-84eed07de67d",
-    "numina:a4384fa2-6d2f-5b94-8331-693c70ad858b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002120.lean\",\"f8d9f6b1361d244844170c670004e18ddf588d27f6445e72f0fdeaedc543d3f5\",3,\"inequalities_294107\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002121.lean\",\"d7fd2cb46e97ec2d514dbe15924bc5dd41f846bb8f528eb61fbe5376d4e63f8c\",0,\"number_theory_294332\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002122.lean\",\"5c2638bce112e1f66400fc625d49b12df2cacab8e490ebb11526c5f843f16d04\",0,\"algebra_294898\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002123.lean\",\"641512a9d0b0d16bb18ac7aae726f65323212fc29cd45d0d9dafeea51989655d\",3,\"algebra_294975\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002124.lean\",\"aebeb5d7f2dff8f8ce70bd2c22dc4d91fd4021ee66a449c4407a11a3fdd54995\",1,\"algebra_295526\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000425.json b/manifests/batches/numina/000425.json
index 580b1635057d38d5a28188c0b8e0edca1129aea9..c94c411442a7addb692849e40f83492c93c6e600 100644
--- a/manifests/batches/numina/000425.json
+++ b/manifests/batches/numina/000425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000425",
   "batch_fingerprint": "c2492a56df191426257aecf645d744799f98d12f922343380a774541f42eb544",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:722cf042-6f82-50d6-8484-85620ed6a8dc",
+    "numina:bc0d5db8-fdc6-592b-bf78-943dd8b5a8c6",
+    "numina:d3caa29a-b147-5f62-8825-cdf9039669c4",
+    "numina:f2dc67ef-58f1-5359-82d8-e1b49a1033a4"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002125.lean\",\"e79fd3347704d06139827f4dd163d2c2aabf51790281989a48180b6ddfaaf873\",0,\"number_theory_295773\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002126.lean\",\"868eea33a4f42890491ccae5c94beed46dae333af5034e634c810ff422492b42\",0,\"inequalities_295855\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002128.lean\",\"d193d624ba7cf098e4e13ff8b954d1e1bacbade64c4b3a05587aacbae231b6f1\",0,\"algebra_296413\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002129.lean\",\"99cd71e6c7b9e2a875dcae6c81c150f9f788df4c3b37b245bca11dd7404168de\",2,\"number_theory_296536\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000425-0000-f94990ff92527712.parquet",
-      "sha256": "f94990ff925277129b784c1958e14c3029db720f959db6d8b4da2749ba6e599e",
       "bytes": 416100,
+      "path": "data/train/p27/numina-000425-0000-f94990ff92527712.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
+      "sha256": "f94990ff925277129b784c1958e14c3029db720f959db6d8b4da2749ba6e599e"
     },
     {
-      "path": "data/train/numina-000425-0001-a432ebb5c59beedf.parquet",
-      "sha256": "a432ebb5c59beedf4399b0279fa0e65d9b4409047eb57f960e407a40fb9e166a",
       "bytes": 433777,
+      "path": "data/train/p27/numina-000425-0001-a432ebb5c59beedf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
+      "sha256": "a432ebb5c59beedf4399b0279fa0e65d9b4409047eb57f960e407a40fb9e166a"
     },
     {
-      "path": "data/dev/numina-000425-0000-2c8a6ae25624c70e.parquet",
-      "sha256": "2c8a6ae25624c70e2a84486e5ac0b5276acf9c06ae2f92dd0a3d2eab40db072e",
       "bytes": 34945,
+      "path": "data/dev/p27/numina-000425-0000-2c8a6ae25624c70e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
+      "sha256": "2c8a6ae25624c70e2a84486e5ac0b5276acf9c06ae2f92dd0a3d2eab40db072e"
     }
-  ],
-  "proof_ids": [
-    "numina:722cf042-6f82-50d6-8484-85620ed6a8dc",
-    "numina:bc0d5db8-fdc6-592b-bf78-943dd8b5a8c6",
-    "numina:d3caa29a-b147-5f62-8825-cdf9039669c4",
-    "numina:f2dc67ef-58f1-5359-82d8-e1b49a1033a4"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002125.lean\",\"e79fd3347704d06139827f4dd163d2c2aabf51790281989a48180b6ddfaaf873\",0,\"number_theory_295773\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002126.lean\",\"868eea33a4f42890491ccae5c94beed46dae333af5034e634c810ff422492b42\",0,\"inequalities_295855\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002128.lean\",\"d193d624ba7cf098e4e13ff8b954d1e1bacbade64c4b3a05587aacbae231b6f1\",0,\"algebra_296413\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002129.lean\",\"99cd71e6c7b9e2a875dcae6c81c150f9f788df4c3b37b245bca11dd7404168de\",2,\"number_theory_296536\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000426.json b/manifests/batches/numina/000426.json
index 233b5209601e66124c569b071a3872ed7f995dc5..800bbda2e33ae9c939d250c00316d97e06595600 100644
--- a/manifests/batches/numina/000426.json
+++ b/manifests/batches/numina/000426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000426",
   "batch_fingerprint": "eca49598f52b84c7f6148285ca5d2150aad303dab559cb983ff624a4ee94f2ee",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000426-0000-8a805956e4ebbc54.parquet",
-      "sha256": "8a805956e4ebbc549f5b90f031f55960148eb169d5d0a1b0cf86fa3f38b669d8",
-      "bytes": 720605,
-      "rows": 65,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    },
-    {
-      "path": "data/train/numina-000426-0001-c251c153bd3a34bd.parquet",
-      "sha256": "c251c153bd3a34bdd61876931b2ed9ecf771bd09184628dfbd33394eb82acaed",
-      "bytes": 366372,
-      "rows": 11,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:001121d1-f08d-5b3f-9679-5194c82207f9",
     "numina:935f289d-abfe-5f16-a30c-a8f6d8c6afcd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002132.lean\",\"bf4ee62cb5c82fc6f73ce17c3f6da5de347aabd32cbc76da9f2635449b1d9e74\",0,\"algebra_297135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002133.lean\",\"392cc7214c83d0efcc97a0df6f954cc8f224cea46fd190e9d3e1c9d1b931bf6c\",0,\"algebra_297235\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002134.lean\",\"374d2fada3ddb3e11099fe6363dcd5da3c2bee53a20972691cee468caa139902\",0,\"number_theory_297739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 720605,
+      "path": "data/train/p01/numina-000426-0000-8a805956e4ebbc54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "8a805956e4ebbc549f5b90f031f55960148eb169d5d0a1b0cf86fa3f38b669d8"
+    },
+    {
+      "bytes": 366372,
+      "path": "data/train/p01/numina-000426-0001-c251c153bd3a34bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c251c153bd3a34bdd61876931b2ed9ecf771bd09184628dfbd33394eb82acaed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000427.json b/manifests/batches/numina/000427.json
index 795ac483108ad2b1b4ff30192cc5bed6980fe5b3..4fa069b47dbc587b3ebfd9fb652716d218a4d970 100644
--- a/manifests/batches/numina/000427.json
+++ b/manifests/batches/numina/000427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000427",
   "batch_fingerprint": "bf9f3671392759582477d5bb9b1d32dc6c42ab77b4612459817f863ce2d75a6a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000427-0000-25f5386f25f4bd4e.parquet",
-      "sha256": "25f5386f25f4bd4e7e48d53786ec6d28442d489184c8de5f631982bff79397c7",
-      "bytes": 531069,
-      "rows": 54,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22e45695-8f7d-5dec-ad14-4c6b26a6d176",
     "numina:8a85fedb-da2f-5e70-a62e-1c0dec9461c0",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002137.lean\",\"88c7a3ed2e0d63567d22c779b9bfc7b58bc7ade14dcdda155f0b6d9d793a3bce\",0,\"algebra_299301\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002138.lean\",\"12c96ce2394f15fb7602db6acee652dc3176cffb9a019549e39d7fb9e05667b4\",3,\"number_theory_299352\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002139.lean\",\"c1999640ed652f902d1cece592a19e082715ddabf5a8d987831542d7f91be631\",0,\"algebra_299402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531069,
+      "path": "data/train/pd2/numina-000427-0000-25f5386f25f4bd4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "25f5386f25f4bd4e7e48d53786ec6d28442d489184c8de5f631982bff79397c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000428.json b/manifests/batches/numina/000428.json
index cdd58d187d1b0bebdd0bc21e7a4ac0c285bb6db5..f92f6b9f3719ab231dfe32d8fe9660d41c41f72f 100644
--- a/manifests/batches/numina/000428.json
+++ b/manifests/batches/numina/000428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000428",
   "batch_fingerprint": "d0fb9da7bf1c7bce1218bf1b57bc89b69257485b5a6925f12642710e30c6d970",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000428-0000-88b06a38084002c8.parquet",
-      "sha256": "88b06a38084002c865d7c8bb2b46f3a6d298b4abe4195eb6aa3fc86c3cebc10e",
-      "bytes": 512115,
-      "rows": 52,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:389073b9-268d-5a51-b900-7dd3fc0c5026",
     "numina:39c46e80-5634-57d3-b9a2-7010dc5ac117",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002142.lean\",\"7ac77dddb2b70d4d7a16d6ac008ab0df8753fbdb59c0ea544b54779bc279f1eb\",0,\"number_theory_300674\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002143.lean\",\"43a22973c52dca91a2f56ea3c38538e6b162fcebb6b38733d3aadeeddf2c4927\",0,\"inequalities_300987\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002144.lean\",\"3c66c542b3088403e75acb45997800e4c178bf58c287d2646c340712f4edb3d1\",5,\"number_theory_301849\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512115,
+      "path": "data/train/pd0/numina-000428-0000-88b06a38084002c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "88b06a38084002c865d7c8bb2b46f3a6d298b4abe4195eb6aa3fc86c3cebc10e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000429.json b/manifests/batches/numina/000429.json
index 435a46e72a71df21986e4bdd32a6f409381791db..84f25bed19f9e18ce9b1ff6f6b5ba9b2d700ff8a 100644
--- a/manifests/batches/numina/000429.json
+++ b/manifests/batches/numina/000429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000429",
   "batch_fingerprint": "656c5f0ea1d5819d9733062fe9674f64d172a8b7c035dab5bf64bc2a51abb0f0",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000429-0000-d2517d43fcb3f338.parquet",
-      "sha256": "d2517d43fcb3f338db277ec76a64d93b932a582c89b18d6cf072e68b80096694",
-      "bytes": 318204,
-      "rows": 21,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    },
-    {
-      "path": "data/dev/numina-000429-0000-57bba3fa82714d86.parquet",
-      "sha256": "57bba3fa82714d86581bd6a878a203106d0ad0d3a366457d45c33eb100f6719b",
-      "bytes": 161315,
-      "rows": 4,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    },
-    {
-      "path": "data/internal_test/numina-000429-0000-1695e6d77cf2972e.parquet",
-      "sha256": "1695e6d77cf2972e2c434dcbfdc8518e0e64cfc8d72fedb65023cfa0891f0a4a",
-      "bytes": 188169,
-      "rows": 8,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e48a893-cb6e-59a5-bfb9-50569c108512",
     "numina:8a83ada8-56e5-5bc3-94fd-4b3d3a279e92",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002147.lean\",\"cbe929f635f41c1a2f923bad79890aa1b2f71df94371f6e5e5c3462b5634c117\",0,\"algebra_303368\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002148.lean\",\"ef5aefe3608bc20f6d7a0092437de410f5e506f96b7926929717625da1780217\",0,\"number_theory_303763\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002149.lean\",\"841a3551a78169ffd3617607f5d9075d8d39808978130668a33959c7b54c3b1f\",0,\"algebra_303790\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318204,
+      "path": "data/train/p6e/numina-000429-0000-d2517d43fcb3f338.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d2517d43fcb3f338db277ec76a64d93b932a582c89b18d6cf072e68b80096694"
+    },
+    {
+      "bytes": 161315,
+      "path": "data/dev/p6e/numina-000429-0000-57bba3fa82714d86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "57bba3fa82714d86581bd6a878a203106d0ad0d3a366457d45c33eb100f6719b"
+    },
+    {
+      "bytes": 188169,
+      "path": "data/internal_test/p6e/numina-000429-0000-1695e6d77cf2972e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1695e6d77cf2972e2c434dcbfdc8518e0e64cfc8d72fedb65023cfa0891f0a4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000430.json b/manifests/batches/numina/000430.json
index e5d38404847183e069e00fb359641aba078a9a7b..249f74d5f9a397516775680322ac31921744c2a4 100644
--- a/manifests/batches/numina/000430.json
+++ b/manifests/batches/numina/000430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000430",
   "batch_fingerprint": "d939a1e4dde6f533987a0288fce12ca61f4b6331999a4f71c1edebb98b7bdbe6",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000430-0000-ac9d1f499166a568.parquet",
-      "sha256": "ac9d1f499166a568e6c465fc08621ad010d255b1f5dc395522bd17b36916f0a0",
-      "bytes": 673968,
-      "rows": 13,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/dev/numina-000430-0000-e7e5b336241657e0.parquet",
-      "sha256": "e7e5b336241657e036a3c61b06122871935dcf0decdec427dce1faa492ae27ee",
-      "bytes": 29626,
-      "rows": 3,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/internal_test/numina-000430-0000-2f6f4f671cd234c8.parquet",
-      "sha256": "2f6f4f671cd234c8760a639152146da7444d4a19c8fe2fdca2ff0dbaa238fc94",
-      "bytes": 238310,
-      "rows": 4,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0eef63fa-b6a7-5771-bd41-264357dbfa17",
     "numina:3a8e6d76-d41c-5bb7-b586-1dd2416aef26",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002152.lean\",\"475b85847ba13f819cc5402fd4c6306615830a95dba592c06f5dbecf3afe69cf\",0,\"number_theory_304640\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002153.lean\",\"950fe5f1a1de2b24be89c091db4f7ee836f1a44d64c4dbe4cea57755cec0c62e\",0,\"algebra_304904\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002154.lean\",\"0ded70757647444d9c74237d48c8caa86cc4940f5c5f1b98c6eb3539b7ee278f\",3,\"number_theory_305100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 673968,
+      "path": "data/train/p56/numina-000430-0000-ac9d1f499166a568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac9d1f499166a568e6c465fc08621ad010d255b1f5dc395522bd17b36916f0a0"
+    },
+    {
+      "bytes": 29626,
+      "path": "data/dev/p56/numina-000430-0000-e7e5b336241657e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e7e5b336241657e036a3c61b06122871935dcf0decdec427dce1faa492ae27ee"
+    },
+    {
+      "bytes": 238310,
+      "path": "data/internal_test/p56/numina-000430-0000-2f6f4f671cd234c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2f6f4f671cd234c8760a639152146da7444d4a19c8fe2fdca2ff0dbaa238fc94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000431.json b/manifests/batches/numina/000431.json
index f250486ab954197802cdada8a2608032e0b1c3b9..8b64d08061b0409dc525c4b7f120e886541c11c6 100644
--- a/manifests/batches/numina/000431.json
+++ b/manifests/batches/numina/000431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000431",
   "batch_fingerprint": "f9f155a54ec5929ed1a92d01325bc14934c61a1efecbdad4052235e4c3aeea58",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000431-0000-a216c140518b5e64.parquet",
-      "sha256": "a216c140518b5e649d6e809da485501ef3f5f6b4f1faaf27591ea648f2e8e8f5",
-      "bytes": 343467,
-      "rows": 19,
-      "revision": "97215d24460a1689db8983e61c63a39e87a93810"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d747a91-f1c1-5467-9b38-b2626e79a2ed",
     "numina:54c9ef6c-cced-51e7-a63b-c673b35bf6ad",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002157.lean\",\"388f25dcd2de735d3e8bd03349918a0b747424613b88c556fdf3e9c12870a22d\",0,\"number_theory_306545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002158.lean\",\"95a9740d7112b586b7bc926397e4aefe4ca5ca235a3d79bce6cec7e1142e4cc2\",0,\"algebra_306943\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002159.lean\",\"1ee2ee7c1560ee2e2ade12f96e7f673f9c60ab47a3c34f9819c7057a6c352d2f\",0,\"algebra_306980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343467,
+      "path": "data/train/pe5/numina-000431-0000-a216c140518b5e64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a216c140518b5e649d6e809da485501ef3f5f6b4f1faaf27591ea648f2e8e8f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000432.json b/manifests/batches/numina/000432.json
index c50fd7c73f369f28dc1a38e3066d04c4d8a55a52..c578a60c7925b30ba1c3b034e0279bd46c2f4e54 100644
--- a/manifests/batches/numina/000432.json
+++ b/manifests/batches/numina/000432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000432",
   "batch_fingerprint": "f636138a24cc483906ce9dcf5881ae13c7a048548a5ef7587e0f73fe7bbcd064",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1e1e6baa-5c62-507d-adba-6f3d24382ee7",
+    "numina:4c6fd5b6-744a-58d7-861c-3761425141ad",
+    "numina:a2f2a4ae-3601-5af3-a0b4-ff5a46706b22",
+    "numina:ce693fa9-bda2-56c7-8f88-6ca347a7a0f0",
+    "numina:d001132b-956d-5bd3-9860-a4e185595f87"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002160.lean\",\"2d9d03bc5aca0406c2645e37b4377e1dd3c1e0aae101c82bab35059b3dd6f195\",0,\"algebra_307317\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002161.lean\",\"4be0c0d8f71d4b0d429a418d042aad70bfd916cda95eb35881df652ee6b2bfb8\",0,\"algebra_308075\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002162.lean\",\"787ff4c74e1adf6e5a228fa74842c643ceb6dfb716cf265670122ba6d2bdbb4e\",5,\"number_theory_308158\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002163.lean\",\"4afa92aadc4990a3f36c870a762c89775de53cabd9e88786d4b569345eea0046\",0,\"algebra_308204\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002164.lean\",\"2951bb4151984725c6bc65d4a2d52f573d4fc8a128a51aed1b20a8221b17e4bd\",1,\"algebra_308277\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000432-0000-d6aa874b884cccb7.parquet",
-      "sha256": "d6aa874b884cccb7f97721e4bf258d95f383cbf86f68a55b50647251b753df54",
       "bytes": 708901,
+      "path": "data/train/p6f/numina-000432-0000-d6aa874b884cccb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
+      "sha256": "d6aa874b884cccb7f97721e4bf258d95f383cbf86f68a55b50647251b753df54"
     },
     {
-      "path": "data/train/numina-000432-0001-1581388ef6e6da73.parquet",
-      "sha256": "1581388ef6e6da73992c392e7b3daf746a85ba0ad3c7fe085774dccea3fc166b",
       "bytes": 911092,
+      "path": "data/train/p6f/numina-000432-0001-1581388ef6e6da73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 56,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
+      "sha256": "1581388ef6e6da73992c392e7b3daf746a85ba0ad3c7fe085774dccea3fc166b"
     },
     {
-      "path": "data/train/numina-000432-0002-5e18574fb510996c.parquet",
-      "sha256": "5e18574fb510996c2babd305c5d9d64bba199cbee04e6abfab00226bde1ed234",
       "bytes": 1601240,
+      "path": "data/train/p6f/numina-000432-0002-5e18574fb510996c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
+      "sha256": "5e18574fb510996c2babd305c5d9d64bba199cbee04e6abfab00226bde1ed234"
     },
     {
-      "path": "data/internal_test/numina-000432-0000-da2994c20af14af3.parquet",
-      "sha256": "da2994c20af14af3051344373ea469ee7296c4a61db84df7d7e74f2e31d95ae1",
       "bytes": 116426,
+      "path": "data/internal_test/p6f/numina-000432-0000-da2994c20af14af3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
+      "sha256": "da2994c20af14af3051344373ea469ee7296c4a61db84df7d7e74f2e31d95ae1"
     }
-  ],
-  "proof_ids": [
-    "numina:1e1e6baa-5c62-507d-adba-6f3d24382ee7",
-    "numina:4c6fd5b6-744a-58d7-861c-3761425141ad",
-    "numina:a2f2a4ae-3601-5af3-a0b4-ff5a46706b22",
-    "numina:ce693fa9-bda2-56c7-8f88-6ca347a7a0f0",
-    "numina:d001132b-956d-5bd3-9860-a4e185595f87"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002160.lean\",\"2d9d03bc5aca0406c2645e37b4377e1dd3c1e0aae101c82bab35059b3dd6f195\",0,\"algebra_307317\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002161.lean\",\"4be0c0d8f71d4b0d429a418d042aad70bfd916cda95eb35881df652ee6b2bfb8\",0,\"algebra_308075\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002162.lean\",\"787ff4c74e1adf6e5a228fa74842c643ceb6dfb716cf265670122ba6d2bdbb4e\",5,\"number_theory_308158\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002163.lean\",\"4afa92aadc4990a3f36c870a762c89775de53cabd9e88786d4b569345eea0046\",0,\"algebra_308204\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002164.lean\",\"2951bb4151984725c6bc65d4a2d52f573d4fc8a128a51aed1b20a8221b17e4bd\",1,\"algebra_308277\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000433.json b/manifests/batches/numina/000433.json
index 72134c2589dfcd36db67abca6a30200b1ac89f24..23e13eb6f282ac14c5a64b29ead61e8fe92a67c4 100644
--- a/manifests/batches/numina/000433.json
+++ b/manifests/batches/numina/000433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000433",
   "batch_fingerprint": "8c9e83f8a38012fa0015377b571905132c325c158eafdbed6d7c2045dde43ee4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000433-0000-09daa8fdb9624b14.parquet",
-      "sha256": "09daa8fdb9624b1436c410324f286976b4a86072147e49350cbd1a12a40da774",
-      "bytes": 623626,
-      "rows": 25,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/train/numina-000433-0001-9d171e1ecd43ea4f.parquet",
-      "sha256": "9d171e1ecd43ea4fc8e9826a7f64420327e7346d1ae59332afadac121476f8c4",
-      "bytes": 827918,
-      "rows": 21,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c55855f-2e00-5f5c-8afe-3b617a07ee76",
     "numina:4dbf2215-4755-55b3-a0d7-db626dc088a5",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002167.lean\",\"41f7c62f57bf7350893031a24b1f4de3b0c8e4655023fa01acd170cff58986f8\",0,\"calculus_309058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002168.lean\",\"d057474f08a1f0c4d669ae860ff651df394225bbdf80a4124e86264cee6046df\",0,\"number_theory_309228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002169.lean\",\"cfb5652cb0d184417670ff47f1978875ff7373929aa653bf902d56d879010170\",0,\"prod_divisors_eq_n_cube_iff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 623626,
+      "path": "data/train/p7b/numina-000433-0000-09daa8fdb9624b14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "09daa8fdb9624b1436c410324f286976b4a86072147e49350cbd1a12a40da774"
+    },
+    {
+      "bytes": 827918,
+      "path": "data/train/p7b/numina-000433-0001-9d171e1ecd43ea4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9d171e1ecd43ea4fc8e9826a7f64420327e7346d1ae59332afadac121476f8c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000434.json b/manifests/batches/numina/000434.json
index 212a67e47c7f86629cfbc1654465270e1eda68e4..a339fbb1621f730df4c405212b5961b2cd39982b 100644
--- a/manifests/batches/numina/000434.json
+++ b/manifests/batches/numina/000434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000434",
   "batch_fingerprint": "25494e8e8a74644cf08f77fe434a2118a23eacd5edf7c1491eac907d092faeb5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000434-0000-e9d1559f896b44c5.parquet",
-      "sha256": "e9d1559f896b44c5b8f0b769db007b2a74b57cf95cefead2828ca4deb615b63c",
-      "bytes": 806886,
-      "rows": 28,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    },
-    {
-      "path": "data/train/numina-000434-0001-652a24c075299091.parquet",
-      "sha256": "652a24c07529909163597e7d8f80288cb97c0eeb7ad4b088b6963dda9db5aa1c",
-      "bytes": 209871,
-      "rows": 29,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a562217-7111-525b-8738-e024aeca1aac",
     "numina:8a91c967-b3a7-5ae6-9e80-84d6a7ef08d3",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002172.lean\",\"a190241797b558d110e0be099736c86ce3bb33fa1c7527aa7f662337cc2d8b0c\",1,\"algebra_311554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002173.lean\",\"a39da2e3525fbb61730dc858071dbbb72eee97c3520f014fe868fb1c0a5c081f\",0,\"algebra_311612\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002174.lean\",\"e7357ce38c8833f95bde6f71841fc760df63f3ea82a4e93f9364d046850d8e14\",0,\"algebra_311949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 806886,
+      "path": "data/train/pe5/numina-000434-0000-e9d1559f896b44c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "e9d1559f896b44c5b8f0b769db007b2a74b57cf95cefead2828ca4deb615b63c"
+    },
+    {
+      "bytes": 209871,
+      "path": "data/train/pe5/numina-000434-0001-652a24c075299091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "652a24c07529909163597e7d8f80288cb97c0eeb7ad4b088b6963dda9db5aa1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000435.json b/manifests/batches/numina/000435.json
index 07bf8d4916da2689de177ecce34286df7ec6142e..1ce08f8026e168210066415e2c1efd000930ff01 100644
--- a/manifests/batches/numina/000435.json
+++ b/manifests/batches/numina/000435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000435",
   "batch_fingerprint": "c9ce2c274ba6596bc88dba9b900e63206cd2661dc4e6817635ce90f061745905",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000435-0000-908b7ab1481b1ac4.parquet",
-      "sha256": "908b7ab1481b1ac45d4c20c6756a8ab65d5a2b49d6c7989fcd78247423f65bc5",
-      "bytes": 207966,
-      "rows": 12,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a94a4c6-b3d8-5ff9-a611-1ed5420383b6",
     "numina:533b26f0-d8fa-5c40-a6f5-14468d263f6d",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002176.lean\",\"39c73e8f5e83368892cb88df2552c7a664a4415720ad45dea2d675eb8af1153b\",3,\"algebra_312331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002178.lean\",\"16bf12e1f87f5e1d11e0296849e9bd7d8c1365632cca57941723c00b546a0620\",0,\"algebra_312693\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002179.lean\",\"0b32e5594591e68840a7d62bc39611499655f231b369fc688463be443e0f8ce7\",0,\"algebra_312786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207966,
+      "path": "data/train/p12/numina-000435-0000-908b7ab1481b1ac4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "908b7ab1481b1ac45d4c20c6756a8ab65d5a2b49d6c7989fcd78247423f65bc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000436.json b/manifests/batches/numina/000436.json
index a64d49263e20ee22fe9763e22750ed2c6f422de8..2d66666ef905b5991680866787deb236f882030c 100644
--- a/manifests/batches/numina/000436.json
+++ b/manifests/batches/numina/000436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000436",
   "batch_fingerprint": "e9ecbc290e8f93ca4256bdcf23032220afecd166163a6cf67e65c47d82f5cd70",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000436-0000-c66449bff277991c.parquet",
-      "sha256": "c66449bff277991ccf3cf6f4536a618822885a14d9407d48fdef4411273eb5c3",
-      "bytes": 673242,
-      "rows": 26,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    },
-    {
-      "path": "data/train/numina-000436-0001-cfc0eff01e5e9ae8.parquet",
-      "sha256": "cfc0eff01e5e9ae8044b12a14db7526324fdd6e800e3ef3d7354d173e8e8c1e1",
-      "bytes": 294929,
-      "rows": 10,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:077ee0a3-a702-52b2-8fbd-56134d68c7a3",
     "numina:1260e6f0-7ec1-5859-84b4-5325e9ded9ba",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002182.lean\",\"e9ab7501664dc5b692fd4c0688a5ff2b218079f1e4fc1c919b23520627bc890e\",0,\"algebra_313936\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002183.lean\",\"864d97b23b069a200511d0f96d4b931a748ae6c38fe230e7cf57cfb505b455db\",0,\"algebra_314637\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002184.lean\",\"37f37660da11120dc22df87e9162f71fe886fbfdb261dbdbc86a00f618623de3\",0,\"algebra_314732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 673242,
+      "path": "data/train/p4a/numina-000436-0000-c66449bff277991c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c66449bff277991ccf3cf6f4536a618822885a14d9407d48fdef4411273eb5c3"
+    },
+    {
+      "bytes": 294929,
+      "path": "data/train/p4a/numina-000436-0001-cfc0eff01e5e9ae8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cfc0eff01e5e9ae8044b12a14db7526324fdd6e800e3ef3d7354d173e8e8c1e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000437.json b/manifests/batches/numina/000437.json
index 58c77b78e227f2fc3e238c862df4d7c42343606f..6f6acd415c7d991bbc11cdb12a2112041f9fab74 100644
--- a/manifests/batches/numina/000437.json
+++ b/manifests/batches/numina/000437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000437",
   "batch_fingerprint": "4c516ae2ac4b895ba0eaab0aab8afe8fa4a1cac73f9c48f84176c71adf45e72b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000437-0000-5f8e1fce7cc9b84f.parquet",
-      "sha256": "5f8e1fce7cc9b84f8170fda6ef882093a63b3b5265ba0c6a621bd21653dc1ca2",
-      "bytes": 537711,
-      "rows": 27,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/internal_test/numina-000437-0000-81f5c7dce8035a43.parquet",
-      "sha256": "81f5c7dce8035a439b2029cbe49d5b84461a7215438c915d80ac25437a324252",
-      "bytes": 171354,
-      "rows": 4,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e87f48b-08bb-5de3-9bde-09af042c5e6f",
     "numina:4a91c577-0314-5441-b106-d070e22718ee",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002187.lean\",\"c29fc946f8c20e269a43fd4eab2f5d281f7af2e045c85f1227675eb88e346c90\",20,\"number_theory_315382\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002188.lean\",\"02f60e7890771cc77bbf8770eaf3a0542afb7918350be26ceba73bbc393d643e\",0,\"number_theory_248298\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002189.lean\",\"9e9903d3229d103f0fac72a14c16cc6091e0176ad13dd6be766867e53512a5fc\",0,\"algebra_316350\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 537711,
+      "path": "data/train/p5e/numina-000437-0000-5f8e1fce7cc9b84f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "5f8e1fce7cc9b84f8170fda6ef882093a63b3b5265ba0c6a621bd21653dc1ca2"
+    },
+    {
+      "bytes": 171354,
+      "path": "data/internal_test/p5e/numina-000437-0000-81f5c7dce8035a43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "81f5c7dce8035a439b2029cbe49d5b84461a7215438c915d80ac25437a324252"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000438.json b/manifests/batches/numina/000438.json
index 984a2abdd3729681a5ff287020eb80019c7a877e..60362fe517ca1d22edc1fa3135e70d502b519b7f 100644
--- a/manifests/batches/numina/000438.json
+++ b/manifests/batches/numina/000438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000438",
   "batch_fingerprint": "2b993892770453176c888c716360bcdb09ef3c0bfc06fb908e8d500bd9eca086",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000438-0000-bb634e2261ba9596.parquet",
-      "sha256": "bb634e2261ba9596c76b1a7ea18c0779fb68546397a521ac874d4c5c6ccf09f6",
-      "bytes": 409779,
-      "rows": 54,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0657659e-07d8-5b96-86e7-7a64d02556ab",
     "numina:12f7e06d-b36c-57aa-a2c4-94cecae7210d",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002192.lean\",\"603d5f9456334ddb5b02965ad7cc98854f4d4d8e31fb5d866922721668f81671\",0,\"number_theory_317323\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002193.lean\",\"8c53fb215fd4003638e686c27ca33815d157756740cb0b0c308559def1f8c2eb\",2,\"number_theory_317482\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002194.lean\",\"14ac359d0e51fae05cb6febc0968a4652464adae81e6fd7a0a8ff3d3e0fd7d3f\",0,\"algebra_317524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409779,
+      "path": "data/train/p4c/numina-000438-0000-bb634e2261ba9596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "bb634e2261ba9596c76b1a7ea18c0779fb68546397a521ac874d4c5c6ccf09f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000439.json b/manifests/batches/numina/000439.json
index acbdc2491cd4c8613bf1318e287fa23d48702087..10d43ceb793730bd7eddd3844d6f14273edfae1c 100644
--- a/manifests/batches/numina/000439.json
+++ b/manifests/batches/numina/000439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000439",
   "batch_fingerprint": "81f4d714b45317735533f3a76c7d73d2a49275a537cc07185368271ece2ac54e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000439-0000-f313a66c528cce40.parquet",
-      "sha256": "f313a66c528cce402f90640324de8cc5dcd744138b45f0cd71bfc4d34e3ea7a8",
-      "bytes": 218772,
-      "rows": 12,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    },
-    {
-      "path": "data/internal_test/numina-000439-0000-590ea21ca61f4223.parquet",
-      "sha256": "590ea21ca61f422373b37e75fecf7fc782e8013d2d065913e3317cd2d59df62e",
-      "bytes": 338993,
-      "rows": 6,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0614128d-f377-5122-aa79-67674f34337e",
     "numina:7d3a6848-a9e8-5ac6-83c9-341188642bb9",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002197.lean\",\"09568c787f294ff2051635af009f14a8a79ad5b9d28098d03aa7050ae50a8c43\",0,\"algebra_318031\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002198.lean\",\"0e9f5364613650d77c0cf963683e11adef13545ac4872aec4967830b9d1dace6\",0,\"algebra_318040\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002199.lean\",\"f52d5511002c0fc38795bb6f8a8ec8fdccbac6fd31ccdb58da0d55a84200db58\",0,\"algebra_318478\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218772,
+      "path": "data/train/pff/numina-000439-0000-f313a66c528cce40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f313a66c528cce402f90640324de8cc5dcd744138b45f0cd71bfc4d34e3ea7a8"
+    },
+    {
+      "bytes": 338993,
+      "path": "data/internal_test/pff/numina-000439-0000-590ea21ca61f4223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "590ea21ca61f422373b37e75fecf7fc782e8013d2d065913e3317cd2d59df62e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000440.json b/manifests/batches/numina/000440.json
index c18432c94b4ca70acae49e97573f9449d22e2663..173ea5e7991230c27660b029ae800353b2894bbd 100644
--- a/manifests/batches/numina/000440.json
+++ b/manifests/batches/numina/000440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000440",
   "batch_fingerprint": "c8a403674f33d1d6a53ac18321a989c573986bad5ba56162da6a91819bca7683",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000440-0000-a85f71998112c3ed.parquet",
-      "sha256": "a85f71998112c3ed71bd3a9d324f98b491a25798388dbd211a9ed5fec9569722",
-      "bytes": 242570,
-      "rows": 25,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e823469-84e8-5cf6-9a91-ff154782bca6",
     "numina:15f53b87-afc3-577e-a109-097bcb29aa67",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002202.lean\",\"31c474c91336be66e74fc9c6bcf740009f588a2b76355bb6c5db5535e31e284e\",0,\"algebra_319216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002203.lean\",\"e3fa07fbd4505705dd21023f91d7d800a6084087af86086999587fb707da3fcd\",0,\"algebra_319351\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002204.lean\",\"13dc96a0e35ce2c3acc8f12db0483f35da0173df929be67f27c78bf073751914\",0,\"algebra_320250\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242570,
+      "path": "data/train/p6e/numina-000440-0000-a85f71998112c3ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "a85f71998112c3ed71bd3a9d324f98b491a25798388dbd211a9ed5fec9569722"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000441.json b/manifests/batches/numina/000441.json
index 48d0330843ea75027e29359f61db3e2196cf4f98..b6c7e97e73dead0fbdb3a460eb1ce2f51b453467 100644
--- a/manifests/batches/numina/000441.json
+++ b/manifests/batches/numina/000441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000441",
   "batch_fingerprint": "0c314fb6e1414e0702a6f0ca4bfa1683a8df5bfa70b0f70dbdc21eaaa83bb89c",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000441-0000-494d71c98f0d6cc8.parquet",
-      "sha256": "494d71c98f0d6cc877f077eab0ed2c81df5c7c38872abf57bb3bc3fdc85776ba",
-      "bytes": 326604,
-      "rows": 18,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    },
-    {
-      "path": "data/internal_test/numina-000441-0000-8413bd266def2196.parquet",
-      "sha256": "8413bd266def219685f8bb5d3e2495ab212165c6623b9d565e67d6d8cf069123",
-      "bytes": 38530,
-      "rows": 3,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36317e0d-fc09-50dd-be9f-fdb7a9fe948b",
     "numina:564c80c0-ca21-5fc8-835f-218eae530ea0",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002206.lean\",\"7dca9d84b82d60c4567d87e386b7a060e61da91e143b5aee0124fc96ccd6634c\",2,\"number_theory_320449\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002207.lean\",\"265d55bf408e61f8bbf37dfb27a130557dc11484856d7e71b603d3eb7e44175a\",0,\"algebra_321261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002208.lean\",\"2dba973dd099fe1b8172bed0738c0db7196eacbbc4f0cd36fb6b259550885c5e\",0,\"algebra_321531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326604,
+      "path": "data/train/p52/numina-000441-0000-494d71c98f0d6cc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "494d71c98f0d6cc877f077eab0ed2c81df5c7c38872abf57bb3bc3fdc85776ba"
+    },
+    {
+      "bytes": 38530,
+      "path": "data/internal_test/p52/numina-000441-0000-8413bd266def2196.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8413bd266def219685f8bb5d3e2495ab212165c6623b9d565e67d6d8cf069123"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000442.json b/manifests/batches/numina/000442.json
index 1a6e883407a3f7c2a75e0162495f1963a9fcc792..ca6b305d400531941eb9f0f34a904a8ee278f570 100644
--- a/manifests/batches/numina/000442.json
+++ b/manifests/batches/numina/000442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000442",
   "batch_fingerprint": "c7035357bc3c7df246dcdb691ec19337b43191211c23e8071d365a9c3196c6be",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000442-0000-3df9a7a8a492892c.parquet",
-      "sha256": "3df9a7a8a492892cba88b9c5d9968b5c1ecdb174fb068ac53525868a05eace07",
-      "bytes": 704393,
-      "rows": 33,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    },
-    {
-      "path": "data/train/numina-000442-0001-e0ae58dbbf6d2e43.parquet",
-      "sha256": "e0ae58dbbf6d2e43e943b9c261c36058fc37f6df1e2440231b770ded94c028b4",
-      "bytes": 346343,
-      "rows": 13,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    },
-    {
-      "path": "data/internal_test/numina-000442-0000-20c0e56e0287559e.parquet",
-      "sha256": "20c0e56e0287559e3a794dca5312d621c0dceacb6112f23cda3e0877cc01b5b4",
-      "bytes": 491662,
-      "rows": 3,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f750d3f-5902-5af1-b12e-e4323ba153e2",
     "numina:9e2bead3-1f6a-5e1f-953a-74e48c31f61f",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002212.lean\",\"f268c1b018aafd42adb622cee770c2a8f8b6565a19ff3b6c2f21f45b9e403121\",0,\"algebra_322593\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002213.lean\",\"62b5583f077cdc23042bb58ee41012a28df74807dffb0311154fe2f07f6e476c\",1,\"inequalities_323089\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002214.lean\",\"2656f89cf6099c9011f8bba124e64956b6d12c17e75ceb10764060e1879271c6\",0,\"algebra_323320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 704393,
+      "path": "data/train/p1f/numina-000442-0000-3df9a7a8a492892c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "3df9a7a8a492892cba88b9c5d9968b5c1ecdb174fb068ac53525868a05eace07"
+    },
+    {
+      "bytes": 346343,
+      "path": "data/train/p1f/numina-000442-0001-e0ae58dbbf6d2e43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e0ae58dbbf6d2e43e943b9c261c36058fc37f6df1e2440231b770ded94c028b4"
+    },
+    {
+      "bytes": 491662,
+      "path": "data/internal_test/p1f/numina-000442-0000-20c0e56e0287559e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "20c0e56e0287559e3a794dca5312d621c0dceacb6112f23cda3e0877cc01b5b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000443.json b/manifests/batches/numina/000443.json
index 3affd8b4e2bdbd54de9c198dd2968bc70a7dff5f..ba5f35c41115b12e357cfe2149e53e92839a5d4e 100644
--- a/manifests/batches/numina/000443.json
+++ b/manifests/batches/numina/000443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000443",
   "batch_fingerprint": "fce0fffaa95e5d748d9e1422ef9d50b64394b7c892481dba84207196aa55b23d",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000443-0000-955c1ce34629ce03.parquet",
-      "sha256": "955c1ce34629ce03ede6aeee2f2c016493facbb1ff97e31350f37267d43c0cc9",
-      "bytes": 290945,
-      "rows": 43,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2630db1b-37ac-51d7-88c8-7b25106b5b81",
     "numina:8581c669-632d-51e5-9343-671f223a71b3",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002216.lean\",\"736067e4bbb1f963c4e74332e31df358faa0aa091a75a9150a0a96082041b487\",0,\"algebra_323740\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002217.lean\",\"ee090f05c191049038877e0eb33c582da60d504e4346ea4e88031b667d9a13a3\",0,\"number_theory_324136.number_theory_324136\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002218.lean\",\"61c11418eb625f599f3971ed42901ac6f25c691a520fb3aa7b60a15403d6d698\",0,\"algebra_324455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290945,
+      "path": "data/train/p5a/numina-000443-0000-955c1ce34629ce03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "955c1ce34629ce03ede6aeee2f2c016493facbb1ff97e31350f37267d43c0cc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000444.json b/manifests/batches/numina/000444.json
index 2cc731d8f6896ce34d2b3f6cd235a9b0e657295b..3e7c3934459882cfea208aff65f7b592474a78b1 100644
--- a/manifests/batches/numina/000444.json
+++ b/manifests/batches/numina/000444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000444",
   "batch_fingerprint": "8e03f18f3e6d02dd13736c80eb7ca4ab68d9119fadc4b2b2bce5600d36f7fa0b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000444-0000-92e1920cf3124f99.parquet",
-      "sha256": "92e1920cf3124f99c354a0f9fd0c317104d2f50582f72d3a60c2eb430a30c563",
-      "bytes": 244544,
-      "rows": 14,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/internal_test/numina-000444-0000-7694bd47cad1969f.parquet",
-      "sha256": "7694bd47cad1969f3faee18cd3a88119b2db7de1d2cd498d3cb295f499401ffa",
-      "bytes": 212520,
-      "rows": 23,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:183f3495-1fca-54ac-9078-9a34ce0e0c2b",
     "numina:2662aa66-1dce-5559-8f0b-6416484c8039",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002222.lean\",\"ded4140b42bb7ca6505f3cb1b96deecc9417cab5a053cc1bdb28dad82dba03ab\",0,\"algebra_325876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002223.lean\",\"33240e280e3d2411a2e866cbbbdd7d0c8e51439f57384a29f5e74a4f7475ba26\",0,\"algebra_326112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002224.lean\",\"37cf182b97e5986321b12ad4e9c1e0b71af4575eeda9f49d45c6ba9284a48f86\",2,\"number_theory_326648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244544,
+      "path": "data/train/pae/numina-000444-0000-92e1920cf3124f99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "92e1920cf3124f99c354a0f9fd0c317104d2f50582f72d3a60c2eb430a30c563"
+    },
+    {
+      "bytes": 212520,
+      "path": "data/internal_test/pae/numina-000444-0000-7694bd47cad1969f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7694bd47cad1969f3faee18cd3a88119b2db7de1d2cd498d3cb295f499401ffa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000445.json b/manifests/batches/numina/000445.json
index 57f6033d9608e8c92237240e57e5f7d22680d877..4ee8b718aab1d653768124c7e1dfc06e25b1db53 100644
--- a/manifests/batches/numina/000445.json
+++ b/manifests/batches/numina/000445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000445",
   "batch_fingerprint": "a92c3f2cab7ea19f8013f174a138a742c1169ae6f2074e06b8eb1cdd0dd096b1",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000445-0000-65a455a2465a1db5.parquet",
-      "sha256": "65a455a2465a1db5d4a7ee9d370b805d85d3d477e723fe5983f18f3e27325a8e",
-      "bytes": 90108,
-      "rows": 11,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/dev/numina-000445-0000-776d721c068c9da6.parquet",
-      "sha256": "776d721c068c9da60d5275fe77efdc2db506bac7853b405eb1d4759a1c75ac32",
-      "bytes": 45436,
-      "rows": 3,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/internal_test/numina-000445-0000-59a3fdfb996193e6.parquet",
-      "sha256": "59a3fdfb996193e6f49f7f36e8ebc6fb2469b9c9ff35cccfc03e630b313bce1b",
-      "bytes": 173421,
-      "rows": 12,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:767de124-9df1-559b-82d6-c512e60bfbb7",
     "numina:7d074ab3-8d33-5ecb-8d4f-a4d6187701ce",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002227.lean\",\"f7100a442f950f7bd2bb508ed060732c7f6d91e485504639f54ff28ddc4d07d7\",2,\"number_theory_327957\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002228.lean\",\"10169d2fceb089cb4847e7b606909cacca9681436d52bf22ccfefceff9a5f550\",0,\"algebra_328008\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002229.lean\",\"3d6f1a57ac1356c478d46b737017c782be6a429e5fe496b54948e9a3f9e19699\",0,\"algebra_328060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90108,
+      "path": "data/train/p0a/numina-000445-0000-65a455a2465a1db5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "65a455a2465a1db5d4a7ee9d370b805d85d3d477e723fe5983f18f3e27325a8e"
+    },
+    {
+      "bytes": 45436,
+      "path": "data/dev/p0a/numina-000445-0000-776d721c068c9da6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "776d721c068c9da60d5275fe77efdc2db506bac7853b405eb1d4759a1c75ac32"
+    },
+    {
+      "bytes": 173421,
+      "path": "data/internal_test/p0a/numina-000445-0000-59a3fdfb996193e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "59a3fdfb996193e6f49f7f36e8ebc6fb2469b9c9ff35cccfc03e630b313bce1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000446.json b/manifests/batches/numina/000446.json
index 903ceaff3d975177add0559f903957ee4c4a1de9..9b7e3e1f41023b319b3b1c2da750a13aac0300f0 100644
--- a/manifests/batches/numina/000446.json
+++ b/manifests/batches/numina/000446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000446",
   "batch_fingerprint": "32a686291432087caa4e49d3ed843f105d664cae34f1f92cf7e9d20c7f4f7f8f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000446-0000-015c6b3f64bf4e05.parquet",
-      "sha256": "015c6b3f64bf4e057426e0adb5c7f23f7c4793dc9ae59a8e199e3f05740eb773",
-      "bytes": 266576,
-      "rows": 21,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/dev/numina-000446-0000-1ae770517a6462a1.parquet",
-      "sha256": "1ae770517a6462a1b5cea258f1b2b61c39e1377f73f9754ac6d9fff4624fce98",
-      "bytes": 108163,
-      "rows": 9,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:172f460b-0aca-5716-b6b4-528c1454ef6a",
     "numina:30641cd1-5f69-5fc7-9e0b-8eef52d2c4db",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002232.lean\",\"307253543487276ba3c611b02173d1ef2fe5d226ae72fc2320c64d05f2f6c148\",0,\"algebra_328477\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002233.lean\",\"24dfb909c91cf4a5c14782ae591524afb6701ad043a2fb0c339bfeb9f194c895\",0,\"algebra_358043\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002234.lean\",\"7cb93cb4ae528c3f77d2b9a225e84da41704b7f2c27c073e7e67f13b9a137721\",0,\"algebra_376983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266576,
+      "path": "data/train/pa5/numina-000446-0000-015c6b3f64bf4e05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "015c6b3f64bf4e057426e0adb5c7f23f7c4793dc9ae59a8e199e3f05740eb773"
+    },
+    {
+      "bytes": 108163,
+      "path": "data/dev/pa5/numina-000446-0000-1ae770517a6462a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1ae770517a6462a1b5cea258f1b2b61c39e1377f73f9754ac6d9fff4624fce98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000447.json b/manifests/batches/numina/000447.json
index 9c1c40a0a379e1e9748bb89e5d2b77a417d709d8..08ae0f5845c29eb9755fa0cd8eccca8e242e69f6 100644
--- a/manifests/batches/numina/000447.json
+++ b/manifests/batches/numina/000447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000447",
   "batch_fingerprint": "8b9fa1106f928a545813c8ddf763290a9c427146d0f0c2539b5bcb0d49e79812",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000447-0000-2d829f6ef3fe9c10.parquet",
-      "sha256": "2d829f6ef3fe9c10e19f0badf6fda581ca3ed0513febe1b3c8839a2f99972667",
-      "bytes": 103757,
-      "rows": 20,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    },
-    {
-      "path": "data/internal_test/numina-000447-0000-9015fec465568294.parquet",
-      "sha256": "9015fec465568294acfaf9dd858cddecb499a4d5ae2f9a93386ce791ec34412f",
-      "bytes": 42265,
-      "rows": 2,
-      "revision": "6e7145207de62da5526fbe0e69ba7569181cea71"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32941861-f9f2-5baf-8e9b-ed855a00a2a4",
     "numina:44ad8252-a94e-525e-9288-ef2c253524bf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002237.lean\",\"8a07c680ed1b0b3163709c01d6f40bc962f2f49a1524dddffff4843ebe334784\",0,\"algebra_428495\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002238.lean\",\"77e97de0e4002576ad8423cba78310717371d3dc534ee9c23b41c70ef83831a3\",0,\"algebra_443050\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002239.lean\",\"79ff3e81f5427128df42670700c1fc1db58f5f3eac7a9012c8171905c8174524\",0,\"algebra_448190\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103757,
+      "path": "data/train/p3b/numina-000447-0000-2d829f6ef3fe9c10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2d829f6ef3fe9c10e19f0badf6fda581ca3ed0513febe1b3c8839a2f99972667"
+    },
+    {
+      "bytes": 42265,
+      "path": "data/internal_test/p3b/numina-000447-0000-9015fec465568294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9015fec465568294acfaf9dd858cddecb499a4d5ae2f9a93386ce791ec34412f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000448.json b/manifests/batches/numina/000448.json
index 4ecb7541cbbf84b909e085f7b1ba44e4f17121e1..747a7c187fb963f50476587ce36edad55665ce84 100644
--- a/manifests/batches/numina/000448.json
+++ b/manifests/batches/numina/000448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000448",
   "batch_fingerprint": "1c9069df67432a25eb99e8cf9fba80bf8434975a07b7502ae2dac0adcb7d18d3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000448-0000-6b251d83fb3a5e29.parquet",
-      "sha256": "6b251d83fb3a5e29c210586d0af4e0b5515c1c1154829868d63e8554aa7be5bf",
-      "bytes": 185185,
-      "rows": 27,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    },
-    {
-      "path": "data/internal_test/numina-000448-0000-6f54594f3a7a4ec6.parquet",
-      "sha256": "6f54594f3a7a4ec626844352d7fa29514c346f90fb9886bfd4b0307a1b2b35d0",
-      "bytes": 64300,
-      "rows": 10,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71d9f19c-6c01-56b1-bd01-91e8567ed656",
     "numina:7a941a32-3635-528a-949c-b5dd5278baa1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002242.lean\",\"0c6e235be59aa331f2096c43122c989dd2c20b4ed5e8e16a2a73581f51a04906\",0,\"algebra_533152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002243.lean\",\"f853a4c740b0113b41ab018840022300397de5d6b1d80c577b96a44573ee1099\",0,\"algebra_535046\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002244.lean\",\"ef505477b1844fe6b5562b5cc46576412dfbab3cf245ff50ff34fd8164e942a3\",0,\"algebra_541477\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185185,
+      "path": "data/train/p05/numina-000448-0000-6b251d83fb3a5e29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "6b251d83fb3a5e29c210586d0af4e0b5515c1c1154829868d63e8554aa7be5bf"
+    },
+    {
+      "bytes": 64300,
+      "path": "data/internal_test/p05/numina-000448-0000-6f54594f3a7a4ec6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6f54594f3a7a4ec626844352d7fa29514c346f90fb9886bfd4b0307a1b2b35d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000449.json b/manifests/batches/numina/000449.json
index 9b2177085e83443bdeb0bc9950aaf2b4dca76924..12284728acd5275387b42eb83aba95a39a1af584 100644
--- a/manifests/batches/numina/000449.json
+++ b/manifests/batches/numina/000449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000449",
   "batch_fingerprint": "c3cfd80f7abcc5ee901b16a42c0b612aadbfed172cebc8bacc9694db84a20ec7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000449-0000-11e55b1b617da335.parquet",
-      "sha256": "11e55b1b617da3356394cf5af11108afa21523e4ee5687b959969273b06882d1",
-      "bytes": 514668,
-      "rows": 60,
-      "revision": "528c8fc399373e342404aa323f50b301e496d3c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ff3491a-a0d1-5fa4-8754-5348821fe70a",
     "numina:1c0d0230-aa00-5790-8746-050029827745",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002247.lean\",\"2cf27c3d6ec3761e7ac9ad47862587c73c9e59e6b29180893212c99a156b4c5e\",0,\"algebra_594514\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002248.lean\",\"d813d58ca697aa65247b87e773090b7af035767f1feba85fed50e1d72818813d\",0,\"inequalities_597186\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002249.lean\",\"dc3a0bd28fb84d6db49accee9f5cbb7da46af1e4f8ebbdf69397eef7023bc8c6\",0,\"number_theory_597395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 514668,
+      "path": "data/train/p0d/numina-000449-0000-11e55b1b617da335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "11e55b1b617da3356394cf5af11108afa21523e4ee5687b959969273b06882d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000450.json b/manifests/batches/numina/000450.json
index ac14e60669c80d0b6a28c9825038075e3b4f1129..4b7379cfcf21066d9d4f302b6876ccc5c2fa9191 100644
--- a/manifests/batches/numina/000450.json
+++ b/manifests/batches/numina/000450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000450",
   "batch_fingerprint": "230d5cc128d4cba243e80900aaa0e9183760c8def641be7d90bffa61798c1fed",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000450-0000-1281c87011c91d87.parquet",
-      "sha256": "1281c87011c91d87e9932665b8a673969e9d8be27fd6d948927c5ddf5d6ebbee",
-      "bytes": 415689,
-      "rows": 43,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:048b3e25-0a53-5e48-99d7-ffc0492e3152",
     "numina:6fd9a6f2-055a-56b6-bcfc-17753826b4f4",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002251.lean\",\"0ed11c85729c8a6da89919aa6cb98ebc597553d12c00406bad8f3a94336241ca\",0,\"inequalities_202307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002253.lean\",\"779e6ff3953939aacbd25ea1204e19f5e14c7b4a9a2300ee478dfd69d3757f7f\",1,\"inequalities_600668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002254.lean\",\"d5292f3874cb8f41f6ab357e23c0807b06ae1fbe5be2440bf9aaa9ad2248d1c9\",0,\"algebra_600793'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415689,
+      "path": "data/train/p5d/numina-000450-0000-1281c87011c91d87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "1281c87011c91d87e9932665b8a673969e9d8be27fd6d948927c5ddf5d6ebbee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000451.json b/manifests/batches/numina/000451.json
index d5250aa9a0295ec5bde7397228be6de3146e502c..a35c0548c1f032fb55b2ca5da243e64a3b82963a 100644
--- a/manifests/batches/numina/000451.json
+++ b/manifests/batches/numina/000451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000451",
   "batch_fingerprint": "d97596f70951cff922e586a330137d99d32ebbcb06b9354633379638967220fd",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000451-0000-320e609a5ce0dc72.parquet",
-      "sha256": "320e609a5ce0dc723c8948c7c778990be3782e502d75d641edea1472aec674e6",
-      "bytes": 291776,
-      "rows": 45,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/dev/numina-000451-0000-d74e879deb580d46.parquet",
-      "sha256": "d74e879deb580d46872f1e7860a9399c19be0686678dd4035ca7fa2884026f5f",
-      "bytes": 55122,
-      "rows": 4,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b723d7b-c2be-5cc4-ad44-986d716a4aa5",
     "numina:480c5bfd-9dc3-54da-b48b-d1465104c6ad",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002257.lean\",\"8de969b2fb2a38bc7e5a7cc866688942a3e7bba3bdac0e10006fd8ebd02db839\",0,\"algebra_601311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002258.lean\",\"e4fdd9dfcbc72f11bf247af16e0abfbe0e2b1f14eae67b6121824b217fdcc797\",4,\"algebra_601369\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002259.lean\",\"8ed0a67127322562e6332c9450f70c59cf89bb7386ac8faab82c3e8f4f14eefa\",0,\"algebra_602810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291776,
+      "path": "data/train/pf7/numina-000451-0000-320e609a5ce0dc72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "320e609a5ce0dc723c8948c7c778990be3782e502d75d641edea1472aec674e6"
+    },
+    {
+      "bytes": 55122,
+      "path": "data/dev/pf7/numina-000451-0000-d74e879deb580d46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d74e879deb580d46872f1e7860a9399c19be0686678dd4035ca7fa2884026f5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000452.json b/manifests/batches/numina/000452.json
index e5debddff8097cd0c711d3b49d21f76ec9ba0347..01724d50c0d87743cbfa716cfb715950a74da2c1 100644
--- a/manifests/batches/numina/000452.json
+++ b/manifests/batches/numina/000452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000452",
   "batch_fingerprint": "cde2cd19be9bf70a976b85625fef34ac3e978c9f3138963e9f1402f2233e910a",
   "evidence": {
@@ -83,15 +82,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000452-0000-09a273d7d51af7c4.parquet",
-      "sha256": "09a273d7d51af7c40ac31a15e44f641b7fcebaac78fe207404b6ddf495c4865a",
-      "bytes": 184195,
-      "rows": 15,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12041413-1f01-5d1c-ad15-baf7d87e014e",
     "numina:1dcb273b-444d-5138-8caf-8c4dbb0da621"
@@ -99,5 +90,14 @@
   "proof_keys": [
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002262.lean\",\"d5d15d0f533540440345dc5117a8ddf8cb59742b5545b025809fff205fcd7edc\",0,\"algebra_603787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002263.lean\",\"2db6bf1f01fd792c2f31d764a528e5833992173f677292e4fdca29cbc5cea08a\",0,\"algebra_604176\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184195,
+      "path": "data/train/p6c/numina-000452-0000-09a273d7d51af7c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "09a273d7d51af7c40ac31a15e44f641b7fcebaac78fe207404b6ddf495c4865a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000453.json b/manifests/batches/numina/000453.json
index f443b3c0a08da646463514b02ee5bc2e71c2049e..3f1e667c8e627da0eece7fbabb7850f68758954b 100644
--- a/manifests/batches/numina/000453.json
+++ b/manifests/batches/numina/000453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000453",
   "batch_fingerprint": "b26e6783db97cbd4469ee8ad5aa6a676d92cc7fd7c840f8ec3b3cd51fc8bcf1e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000453-0000-092ad013385309d8.parquet",
-      "sha256": "092ad013385309d82de23e371481c16c1ac13c2dad31f203820cc46054c712fd",
-      "bytes": 712162,
-      "rows": 34,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    },
-    {
-      "path": "data/train/numina-000453-0001-8b4254d9166e3d5a.parquet",
-      "sha256": "8b4254d9166e3d5ad115db4b7a7bc241ada6148da09197b9c364b29ddd3ad188",
-      "bytes": 293455,
-      "rows": 7,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:152874d1-fc2d-5ab7-a15b-afba6892feb0",
     "numina:2e2146ad-708f-5c69-84a2-f0c64ae3262d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002267.lean\",\"ab57e7fec49fd458b062b66803485dfe34f22a64e546d008ad2cc7a5deabc9ef\",0,\"algebra_604214\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002268.lean\",\"4a280ddf3996fdce06cb464f95efda969a5dc9697acc73a24ef099fb3e00e2b6\",0,\"Number_Theory_604274\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002269.lean\",\"24a9c54a5d6180fae9ec009795d1b5eaac5723868186d1ed8a703b6e8fcf845d\",0,\"number_theory_604288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 712162,
+      "path": "data/train/pba/numina-000453-0000-092ad013385309d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "092ad013385309d82de23e371481c16c1ac13c2dad31f203820cc46054c712fd"
+    },
+    {
+      "bytes": 293455,
+      "path": "data/train/pba/numina-000453-0001-8b4254d9166e3d5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8b4254d9166e3d5ad115db4b7a7bc241ada6148da09197b9c364b29ddd3ad188"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000454.json b/manifests/batches/numina/000454.json
index f733938d897d5af83532a9076f1c443b66108d24..aaaea0115f38a6ed676c5a7157f5e8b4849f043a 100644
--- a/manifests/batches/numina/000454.json
+++ b/manifests/batches/numina/000454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000454",
   "batch_fingerprint": "3a58ba96d4b5dd7ca7b0e116701c85a9071200679fd389517f6b48431d89f7bd",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000454-0000-ab71696a71c57ff7.parquet",
-      "sha256": "ab71696a71c57ff778b9415f989f223c4dcb2d9c7257b7d27265a3a36f4090f2",
-      "bytes": 171382,
-      "rows": 24,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c3ea1d0-28ed-5a70-80d3-867e5b4c9034",
     "numina:8dde16d8-b7ed-592e-9f9b-7781a0aab6eb",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002271.lean\",\"37ca80112b1a5947e260db0ef2cdfd90ed7ceb3763bf74b7ef62e64cd0e81163\",0,\"number_theory_604304.number_theory_604304\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002273.lean\",\"634946fe8fc33a348abc577ca35710b472bfeb97bc35dc7956ed9b2c7f32cb1e\",0,\"number_theory_604311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002274.lean\",\"bc0e425a5799635a96f995ed16e88534c7fa1030d45f46280e7989000b9c281b\",0,\"algebra_604312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171382,
+      "path": "data/train/p10/numina-000454-0000-ab71696a71c57ff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ab71696a71c57ff778b9415f989f223c4dcb2d9c7257b7d27265a3a36f4090f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000455.json b/manifests/batches/numina/000455.json
index 719c5442fe3e0fe244232c2a59472e159b5b7a30..8d18037cf5f0c27c86b85c1ad097ee43d9374e96 100644
--- a/manifests/batches/numina/000455.json
+++ b/manifests/batches/numina/000455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000455",
   "batch_fingerprint": "1c1b240764b71f0f3a1d67e59a1dd311b718a2682416f494efd339d620604dc0",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:54869478-48bc-55ce-adb5-0a5e9c2bab1f",
+    "numina:eb0844f2-1223-523a-9ddd-c2697944cf95",
+    "numina:f5a4a29b-5d99-5178-b013-e2d0ba8eb362",
+    "numina:fcee84e6-2a06-5c8f-969f-a9cf18571763"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002276.lean\",\"52840189657d59dd38d66298a054951ce3dc67277e4ed164489bbcf6e3311bb1\",0,\"number_theory_604334\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002277.lean\",\"406c0d5946e15326e1e34c9d11500e151bff3b6b05af522de86383c0fb18dcaa\",0,\"inequalities_604335\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002278.lean\",\"805055a5f3da11142c74dac59f69083069337bf55f5c49128484a409d7abf37d\",0,\"number_theory_604340\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002279.lean\",\"7ea03df1f68d596bcef100983c3b37a9debb539ac4a83ff8b3beb3affe4a9caf\",0,\"number_theory_604354\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000455-0000-311e9b67a9c72ee8.parquet",
-      "sha256": "311e9b67a9c72ee863911033473808d35ec85fa72f6e5f028a8c75485acb5f23",
       "bytes": 319374,
+      "path": "data/train/pbd/numina-000455-0000-311e9b67a9c72ee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
+      "sha256": "311e9b67a9c72ee863911033473808d35ec85fa72f6e5f028a8c75485acb5f23"
     },
     {
-      "path": "data/train/numina-000455-0001-e2811b73792e10a1.parquet",
-      "sha256": "e2811b73792e10a1890d546fb5dde1defc4059125642a4bbde5b900d74046df0",
       "bytes": 752684,
+      "path": "data/train/pbd/numina-000455-0001-e2811b73792e10a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
+      "sha256": "e2811b73792e10a1890d546fb5dde1defc4059125642a4bbde5b900d74046df0"
     },
     {
-      "path": "data/train/numina-000455-0002-904197e08a51eddf.parquet",
-      "sha256": "904197e08a51eddfc2110ac6a91905c85616d984094797f65b7097857945d193",
       "bytes": 423332,
+      "path": "data/train/pbd/numina-000455-0002-904197e08a51eddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
+      "sha256": "904197e08a51eddfc2110ac6a91905c85616d984094797f65b7097857945d193"
     }
-  ],
-  "proof_ids": [
-    "numina:54869478-48bc-55ce-adb5-0a5e9c2bab1f",
-    "numina:eb0844f2-1223-523a-9ddd-c2697944cf95",
-    "numina:f5a4a29b-5d99-5178-b013-e2d0ba8eb362",
-    "numina:fcee84e6-2a06-5c8f-969f-a9cf18571763"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002276.lean\",\"52840189657d59dd38d66298a054951ce3dc67277e4ed164489bbcf6e3311bb1\",0,\"number_theory_604334\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002277.lean\",\"406c0d5946e15326e1e34c9d11500e151bff3b6b05af522de86383c0fb18dcaa\",0,\"inequalities_604335\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002278.lean\",\"805055a5f3da11142c74dac59f69083069337bf55f5c49128484a409d7abf37d\",0,\"number_theory_604340\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002279.lean\",\"7ea03df1f68d596bcef100983c3b37a9debb539ac4a83ff8b3beb3affe4a9caf\",0,\"number_theory_604354\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000456.json b/manifests/batches/numina/000456.json
index e5ad2b9a359ae0dc19f2f17022e0bd79d816bc40..3de06a8930d13cf6afc95699d887907055d55003 100644
--- a/manifests/batches/numina/000456.json
+++ b/manifests/batches/numina/000456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000456",
   "batch_fingerprint": "3f9f541c724e418e79ad71a999d40a4fe8527eebf210dd34ec780f448ae5365b",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000456-0000-77302c21b281ff09.parquet",
-      "sha256": "77302c21b281ff09990a8dd050de5e03ec825f3c733fbbcf91e5d387751e5dce",
-      "bytes": 320012,
-      "rows": 16,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/internal_test/numina-000456-0000-85acd45b98bee164.parquet",
-      "sha256": "85acd45b98bee1642b7aa9dc99725afd1288a0999a9f461da02c0f991dae73c3",
-      "bytes": 70379,
-      "rows": 4,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:295b9a23-78c0-5498-8bde-fc4c695e571a",
     "numina:d0724e69-a7d6-529b-8372-a2fbb21cfa88",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002282.lean\",\"dacc7ab3a7422c67952e90e603ddd707726b02731b4e9b40bd2a4882c5a0ca9b\",0,\"inequalities_604382\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002283.lean\",\"1099a0757899236c3ef4c655617958a5e9ea35eb379c763e384509c94ef2dddd\",2,\"number_theory_604395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002284.lean\",\"75a049532fbb5a8a04cfc2434234d91af64aab153b88fa70ae220e484d012e31\",0,\"number_theory_604405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320012,
+      "path": "data/train/p26/numina-000456-0000-77302c21b281ff09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "77302c21b281ff09990a8dd050de5e03ec825f3c733fbbcf91e5d387751e5dce"
+    },
+    {
+      "bytes": 70379,
+      "path": "data/internal_test/p26/numina-000456-0000-85acd45b98bee164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "85acd45b98bee1642b7aa9dc99725afd1288a0999a9f461da02c0f991dae73c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000457.json b/manifests/batches/numina/000457.json
index 3f126227f213d640ace649fb516a364c6d2177c9..744c8de9b7527ac0df0097e040b9d0d295637184 100644
--- a/manifests/batches/numina/000457.json
+++ b/manifests/batches/numina/000457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000457",
   "batch_fingerprint": "c733ec626b29eb9138a9b6ddbce674ab65613913b2198603c6d0c085c92155fa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000457-0000-1833d9fcabc1840a.parquet",
-      "sha256": "1833d9fcabc1840ad356e3438d0ac71b8bc8eabf040dcfd6da10661376d2e0db",
-      "bytes": 503718,
-      "rows": 41,
-      "revision": "3a033e5d872e05bee82dd6dab60cca774c483b83"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d83425a-5973-5968-9de6-5a0c5e88ceeb",
     "numina:57acea83-31cb-5e01-b41c-79f3c322f3e6",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002287.lean\",\"a273523e824d910f36fb2217f1d6bae116cfe53e1974222d688120cc93bfda6c\",8,\"algebra_604459_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002288.lean\",\"5a5faf22c7739a6d78a666fa87353bd8cd56073b0b618ab7842f288825ef2bd9\",0,\"inequalities_604479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002289.lean\",\"0098bf3272d8356fcb649f48480f0342c705c550262592a3425eb06b0f57abf6\",0,\"combinatorics_604481\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503718,
+      "path": "data/train/p3f/numina-000457-0000-1833d9fcabc1840a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "1833d9fcabc1840ad356e3438d0ac71b8bc8eabf040dcfd6da10661376d2e0db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000458.json b/manifests/batches/numina/000458.json
index 46fdd2abee73ab89bc88e3830e87aec7d16ce4f4..e3eace2ce882aee0528f589877b209a57c92dc61 100644
--- a/manifests/batches/numina/000458.json
+++ b/manifests/batches/numina/000458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000458",
   "batch_fingerprint": "f766186025ba8138e273d9b6e365de135dd6e94c8ad1df0c90dd12ff29d4d93d",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:183bf274-deeb-514f-a096-e1a670d2171c",
+    "numina:2ca9de9f-fa00-595c-9503-9a4869ada3c1",
+    "numina:2f782f0a-30c9-5309-987e-9b05fbe357de",
+    "numina:a427b534-58ac-5be2-a523-e9c701e6428d",
+    "numina:d7443d9f-3ab1-5ab3-b2b7-d2f030558bfa"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002290.lean\",\"f36196cf96bd220bda53a8cbf4cf9da6d5a2fde2795c186365740dfa7640e843\",1,\"number_theory_604488\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002291.lean\",\"258f167054cda2b992b30f8b76ccaac9726a909995c2de86b0c3a9bd993b730b\",0,\"number_theory_604490\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002292.lean\",\"aac9639b820e64989b0072ef8fb46b88ea55be540084b2cd5646e268cd522e7c\",0,\"algebra_604510\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002293.lean\",\"7e200937475a6f28449c7ed0014de43251bc52446f17dd9f77bb1dfdf1afd40b\",0,\"algebra_604525\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002294.lean\",\"fd24ddb2ab98bedc55f5d0ae069e7a5072f2fa71ad0c8f6bc72d71cb777c584d\",0,\"algebra_604532\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000458-0000-a83623bfb960cd9b.parquet",
-      "sha256": "a83623bfb960cd9b1ac8862027dd0223187fd0d2c3637119d05516fd7c8dc015",
       "bytes": 562588,
+      "path": "data/train/p02/numina-000458-0000-a83623bfb960cd9b.parquet",
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       "rows": 15,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
+      "sha256": "a83623bfb960cd9b1ac8862027dd0223187fd0d2c3637119d05516fd7c8dc015"
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-      "sha256": "a767b241657454af738c404e51f46634d93ce9726808974c7a319b9b20c9709f",
       "bytes": 594807,
+      "path": "data/train/p02/numina-000458-0001-a767b241657454af.parquet",
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       "rows": 10,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
+      "sha256": "a767b241657454af738c404e51f46634d93ce9726808974c7a319b9b20c9709f"
     },
     {
-      "path": "data/train/numina-000458-0002-de444ee77f108f93.parquet",
-      "sha256": "de444ee77f108f93032714ce78629ca5ff4b977b8d89ca774716b1c043dc356e",
       "bytes": 58333,
+      "path": "data/train/p02/numina-000458-0002-de444ee77f108f93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
+      "sha256": "de444ee77f108f93032714ce78629ca5ff4b977b8d89ca774716b1c043dc356e"
     },
     {
-      "path": "data/dev/numina-000458-0000-0669297e2694b5df.parquet",
-      "sha256": "0669297e2694b5dfee93e7ef2caf474b2359974e00897a23ba316c6ac82b5a63",
       "bytes": 150434,
+      "path": "data/dev/p02/numina-000458-0000-0669297e2694b5df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
+      "sha256": "0669297e2694b5dfee93e7ef2caf474b2359974e00897a23ba316c6ac82b5a63"
     }
-  ],
-  "proof_ids": [
-    "numina:183bf274-deeb-514f-a096-e1a670d2171c",
-    "numina:2ca9de9f-fa00-595c-9503-9a4869ada3c1",
-    "numina:2f782f0a-30c9-5309-987e-9b05fbe357de",
-    "numina:a427b534-58ac-5be2-a523-e9c701e6428d",
-    "numina:d7443d9f-3ab1-5ab3-b2b7-d2f030558bfa"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002290.lean\",\"f36196cf96bd220bda53a8cbf4cf9da6d5a2fde2795c186365740dfa7640e843\",1,\"number_theory_604488\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002291.lean\",\"258f167054cda2b992b30f8b76ccaac9726a909995c2de86b0c3a9bd993b730b\",0,\"number_theory_604490\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002292.lean\",\"aac9639b820e64989b0072ef8fb46b88ea55be540084b2cd5646e268cd522e7c\",0,\"algebra_604510\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002293.lean\",\"7e200937475a6f28449c7ed0014de43251bc52446f17dd9f77bb1dfdf1afd40b\",0,\"algebra_604525\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002294.lean\",\"fd24ddb2ab98bedc55f5d0ae069e7a5072f2fa71ad0c8f6bc72d71cb777c584d\",0,\"algebra_604532\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000459.json b/manifests/batches/numina/000459.json
index bdb3f998a0c822c7a950c46d4b7b5550ae7146f4..39c272430093c7b7eddc407e68b81f190a4a95c1 100644
--- a/manifests/batches/numina/000459.json
+++ b/manifests/batches/numina/000459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000459",
   "batch_fingerprint": "e61f62971de93dce99ca629c09e62c6c656a6ef87528ce2a03f516911d35c41e",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000459-0000-4ac912d141553be0.parquet",
-      "sha256": "4ac912d141553be024e3bf73ffc5dddabe42a3891ba9efeb00e85074ff4528d2",
-      "bytes": 390403,
-      "rows": 25,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/internal_test/numina-000459-0000-869ae62d6093661e.parquet",
-      "sha256": "869ae62d6093661e09d6a99ce1cf85e6649e6386ea9f8c13f93049d97cd6d221",
-      "bytes": 228242,
-      "rows": 26,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06dc2431-ed66-5b93-bd69-385a0b157be4",
     "numina:1261cb95-743b-5903-b5b2-36f751eda26a",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002297.lean\",\"1ff1630f2c1bdab0a12e3639c7ebd33ba6d885329381aaee1915c2fc2f9acd4d\",2,\"not_divisible\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002298.lean\",\"75801d6f7881286f7839b270622b5be450bf9d2c4fc7a10750c39065ac406f24\",1,\"number_theory_604570\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002299.lean\",\"5b214324adbb20c37c974c6a8fae49eeb3c8a046a643cbd1d123c9ef0aebca85\",0,\"combinatorics_604573\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390403,
+      "path": "data/train/p97/numina-000459-0000-4ac912d141553be0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4ac912d141553be024e3bf73ffc5dddabe42a3891ba9efeb00e85074ff4528d2"
+    },
+    {
+      "bytes": 228242,
+      "path": "data/internal_test/p97/numina-000459-0000-869ae62d6093661e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "869ae62d6093661e09d6a99ce1cf85e6649e6386ea9f8c13f93049d97cd6d221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000460.json b/manifests/batches/numina/000460.json
index 71a9ff67976c5eedfda71757a9e52323f0543567..0755ad079df0ac6d313bf43665c94f001c19ede0 100644
--- a/manifests/batches/numina/000460.json
+++ b/manifests/batches/numina/000460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000460",
   "batch_fingerprint": "aadcb31f5c1b1589e25c0d8bc95f7dce21ae7219b8d41ae9b6597802aa28df71",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000460-0000-8d9eb8c583d9ca74.parquet",
-      "sha256": "8d9eb8c583d9ca74ca34ca16cc7d675066b31acafaf60167539368fe653093ba",
-      "bytes": 547661,
-      "rows": 32,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/dev/numina-000460-0000-831d1aca6d701194.parquet",
-      "sha256": "831d1aca6d7011942634b3fe25cf0a316968aaf32789d1d795fd8bee0741e521",
-      "bytes": 107852,
-      "rows": 3,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3df27df4-2bde-5ed8-ae99-bca6dd2e2f4a",
     "numina:536268e9-b502-549e-990e-f5e6635b56fe",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002302.lean\",\"aac29b10ac9afa3d9bcdf91b280ab59325d4a80796f3d2b0db425c41533002c0\",4,\"number_theory_604639\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002303.lean\",\"226d4f3a64446c57a40986118f13ac84662f17177f55d7e028ee1f5364f0ad8b\",0,\"number_theory_604640\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002304.lean\",\"8b2db1bde787ac224c9388c057d8fda19041be510f83540f4f1827b5cb33e400\",0,\"algebra_604643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 547661,
+      "path": "data/train/p39/numina-000460-0000-8d9eb8c583d9ca74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "8d9eb8c583d9ca74ca34ca16cc7d675066b31acafaf60167539368fe653093ba"
+    },
+    {
+      "bytes": 107852,
+      "path": "data/dev/p39/numina-000460-0000-831d1aca6d701194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "831d1aca6d7011942634b3fe25cf0a316968aaf32789d1d795fd8bee0741e521"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000461.json b/manifests/batches/numina/000461.json
index a3f768afecdf86957c81aa1614651224fb10eea6..20afd8cc79fbb4ad9761bbd5c5e550b7053ff925 100644
--- a/manifests/batches/numina/000461.json
+++ b/manifests/batches/numina/000461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000461",
   "batch_fingerprint": "42bf2b4e59eb69b68cef43441d18d684f07f4b506fe3d43a2d86bc3538c195c9",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000461-0000-2daffaf50b838989.parquet",
-      "sha256": "2daffaf50b838989ada53772c8c52964ee4fa39851484e06097a27c4f03d1a47",
-      "bytes": 538131,
-      "rows": 38,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bdc485d-d27a-5072-821b-ceef3a15d7ec",
     "numina:2b064b65-5764-50a4-aaaf-18dcc2829667",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002306.lean\",\"f69108d763a35b9a92c1dc6183589fa2fd35501241ea8f2fd935f9fbdf968e2c\",0,\"algebra_604655\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002307.lean\",\"1b484f7718a086738667051feecacba8bf250907b9fd908b3df2bb5e68527dde\",0,\"number_theory_604657\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002308.lean\",\"6392a8b3ea45e7c458179a6afa26af98614a4274889026ea549d35ec93570cd3\",0,\"algebra_604659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 538131,
+      "path": "data/train/p8f/numina-000461-0000-2daffaf50b838989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "2daffaf50b838989ada53772c8c52964ee4fa39851484e06097a27c4f03d1a47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000462.json b/manifests/batches/numina/000462.json
index cb56571d9721216025d92104e906820e12046265..327a456de6c18a050e4d04a92a5eb8d1d678979b 100644
--- a/manifests/batches/numina/000462.json
+++ b/manifests/batches/numina/000462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000462",
   "batch_fingerprint": "690c6ae6cd6fb810712891169b57144f1f1e27ddeddc5dbb01bd93378fb08662",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000462-0000-9eb0a213ccd479a4.parquet",
-      "sha256": "9eb0a213ccd479a429cfbaa392bd01767aaf1cef087b84eee3263125ff18c2d7",
-      "bytes": 725193,
-      "rows": 40,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/train/numina-000462-0001-ab9361ef867cb93f.parquet",
-      "sha256": "ab9361ef867cb93f937fd3ba742bb78a52a1a8e086707d7d6bc980e94040fc2a",
-      "bytes": 166502,
-      "rows": 2,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54de7089-b41e-588c-95ae-dbb1f20fde3d",
     "numina:ba3b682b-f7bb-5060-9e8f-8a4a0fb0983d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002312.lean\",\"11c473ecacb7665cb1b3bb41b3c4b7f6754ad0ecdbfffead18278d10b62b903c\",0,\"algebra_604690\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002313.lean\",\"1221832a265e79f7870c921bfa5ae4aead7ecb63cc2bda358da8e6f35df3548e\",0,\"algebra_604699\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002314.lean\",\"2f5e0294fd9e4a80cf806fe2e5f3a911a852bacf382c0fbc6bf8baa7d7a959da\",0,\"number_theory_604700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 725193,
+      "path": "data/train/pa4/numina-000462-0000-9eb0a213ccd479a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9eb0a213ccd479a429cfbaa392bd01767aaf1cef087b84eee3263125ff18c2d7"
+    },
+    {
+      "bytes": 166502,
+      "path": "data/train/pa4/numina-000462-0001-ab9361ef867cb93f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ab9361ef867cb93f937fd3ba742bb78a52a1a8e086707d7d6bc980e94040fc2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000463.json b/manifests/batches/numina/000463.json
index 3877ca39595a87b3e9b49191a9098f1a4697e256..c90564bc23a3e3c71f167ffea03e2f4bf3cf655c 100644
--- a/manifests/batches/numina/000463.json
+++ b/manifests/batches/numina/000463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000463",
   "batch_fingerprint": "c1d19cf8284a2e7434b3ced36e74d8fbb2515cb31624baee5f76a607e99fb1e3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000463-0000-040e06706853af16.parquet",
-      "sha256": "040e06706853af16f082c12cb58876f85d0c13d1739d597bfa5683986689c2e2",
-      "bytes": 690903,
-      "rows": 54,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/train/numina-000463-0001-8db6d8aeebe293ce.parquet",
-      "sha256": "8db6d8aeebe293ce919100f47bbd7bb3a95a787ae927c79daf13424264fe0e01",
-      "bytes": 270921,
-      "rows": 64,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07668341-d7f4-565d-89e8-b1fa5ca7b1ad",
     "numina:355a613d-8bb8-5ac8-bfc5-9134703a639a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002317.lean\",\"c09c41b4a09fa85f7a9c68092c32ba19931cb35ab9513a9fe004939dd3abcbeb\",0,\"algebra_604724\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002318.lean\",\"640e5f3f79cab7b887a42ba93f029167dc38d961514f68b83695e85349e3ac82\",0,\"number_theory_604726\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002319.lean\",\"dfea5aa760cfcbc94e0e40df7fc8429071ae358bc650d760a1b1055a2b4b0499\",0,\"inequalities_604729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 690903,
+      "path": "data/train/p5c/numina-000463-0000-040e06706853af16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "040e06706853af16f082c12cb58876f85d0c13d1739d597bfa5683986689c2e2"
+    },
+    {
+      "bytes": 270921,
+      "path": "data/train/p5c/numina-000463-0001-8db6d8aeebe293ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "8db6d8aeebe293ce919100f47bbd7bb3a95a787ae927c79daf13424264fe0e01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000464.json b/manifests/batches/numina/000464.json
index 4f89fcf113e7858a3e0de384a6680f36d6cf38d9..3e627685b4260ab93375769c5edd3b2f093fa76e 100644
--- a/manifests/batches/numina/000464.json
+++ b/manifests/batches/numina/000464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000464",
   "batch_fingerprint": "b01df1df0c629ad4a3824f937acc1577541e7b8f84712a840db5c2d1f6d7cddc",
   "evidence": {
@@ -37,22 +36,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000464-0000-5c6201bb24882ac3.parquet",
-      "sha256": "5c6201bb24882ac3cff5b31feb4e2a1d2c4f7a69ab1a3d260767b21ef833f3a2",
-      "bytes": 270498,
-      "rows": 19,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/dev/numina-000464-0000-bf440f2a6e137d0e.parquet",
-      "sha256": "bf440f2a6e137d0e5b1089d52064383a336fb174a49987eea7e91634e13f3077",
-      "bytes": 107558,
-      "rows": 14,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4b7e05f6-2241-5fd2-ab48-8ca397bf2139",
     "numina:8b4f9a5b-bea8-597a-b0a6-a6d928c44182",
@@ -64,5 +48,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002322.lean\",\"6031f6840313ad52842d6353d2f04940b3f6da04baec3a526d55d996ad185e33\",0,\"number_theory_604757\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002323.lean\",\"8801fec4175c66ad37dff7cfbdb52c5d3519da8702b73c113dcfd5aa85a0d66b\",0,\"algebra_604758\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002324.lean\",\"790913e35ebf8ca5d7acb7efa44edc07902c88d190ad92c131b29ba4a51d7b16\",0,\"algebra_604763\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270498,
+      "path": "data/train/pbf/numina-000464-0000-5c6201bb24882ac3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5c6201bb24882ac3cff5b31feb4e2a1d2c4f7a69ab1a3d260767b21ef833f3a2"
+    },
+    {
+      "bytes": 107558,
+      "path": "data/dev/pbf/numina-000464-0000-bf440f2a6e137d0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bf440f2a6e137d0e5b1089d52064383a336fb174a49987eea7e91634e13f3077"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000465.json b/manifests/batches/numina/000465.json
index 11d6c245402ac4137ae11dc9b41c6edc3746567f..683cfa860f9f9a81330ae1e5c0f314307c58e84b 100644
--- a/manifests/batches/numina/000465.json
+++ b/manifests/batches/numina/000465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000465",
   "batch_fingerprint": "5441f9d478c10fb010121ba9ae56b30efd6b6b8b9c815a0b1329e32f669c5e76",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000465-0000-256e7772d755a41c.parquet",
-      "sha256": "256e7772d755a41cc1662ca1f1bba64557d34b84fdf8459cf23dde0227655804",
-      "bytes": 741930,
-      "rows": 26,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/train/numina-000465-0001-074d2999e83d83c1.parquet",
-      "sha256": "074d2999e83d83c11dac267f617f5e5ff1659bbcb088ba3ff16608dec0771b8f",
-      "bytes": 357326,
-      "rows": 8,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c4ced2a-9a36-5965-8c33-40663f196b1c",
     "numina:2edbcc26-60db-5d4c-9947-7e5d15642d79",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002327.lean\",\"a4a3d81c2810f648f254a3c8e102f23a9219588797f7b9961a84a220a84400b6\",0,\"algebra_604794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002328.lean\",\"1a8de0d4f6b5192f941876da807da7df28d002af6b6c48f856c17b6b8d5c0fc9\",0,\"number_theory_604802\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002329.lean\",\"c3afcd07483f5e86a04651791fb908d3bc9cef7115daa1ddb1154f501c3099f2\",32,\"algebra_604824\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 741930,
+      "path": "data/train/p70/numina-000465-0000-256e7772d755a41c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "256e7772d755a41cc1662ca1f1bba64557d34b84fdf8459cf23dde0227655804"
+    },
+    {
+      "bytes": 357326,
+      "path": "data/train/p70/numina-000465-0001-074d2999e83d83c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "074d2999e83d83c11dac267f617f5e5ff1659bbcb088ba3ff16608dec0771b8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000466.json b/manifests/batches/numina/000466.json
index 500e9ef8871b405849716c2d77182689ec9e575e..21a35a08278c887cd0c2b0c31a5bd4e9d676bdf2 100644
--- a/manifests/batches/numina/000466.json
+++ b/manifests/batches/numina/000466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000466",
   "batch_fingerprint": "beb89d3560f2e42bf980faf666d868aafd8e15632e7fd72c5684b46f3ee14ca8",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000466-0000-a2b532ba42e60ef8.parquet",
-      "sha256": "a2b532ba42e60ef84ad2238c6bc5ec8f19e6ea6a0a6cdc28ad64b82b9ac72b0b",
-      "bytes": 199930,
-      "rows": 30,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8464d95a-ce8e-5d00-9b65-6a27f44b9f3d",
     "numina:8ba77af6-ae4e-5558-8869-b930f4abfd0e",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002331.lean\",\"fb8f999fc81c7960df32b7821467c86be89ab76dc5b4e92f3cfd9a152c1cb48c\",0,\"combinatorics_604843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002332.lean\",\"95b95b9e8e3d38c67c4a689e2698abdb83644b056d00459bf0cee460e2c3810e\",0,\"geometry_604846\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002334.lean\",\"1fb133ea756217d06cf60b705724dfcd7fc75f51c6c7ae3decce9643a24cb4a4\",0,\"number_theory_604859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199930,
+      "path": "data/train/p05/numina-000466-0000-a2b532ba42e60ef8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a2b532ba42e60ef84ad2238c6bc5ec8f19e6ea6a0a6cdc28ad64b82b9ac72b0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000467.json b/manifests/batches/numina/000467.json
index 9dd5b1efdc968ec950fc5f4975b08325d5a57791..dd284c5e6cd7ce2397e4a2bad279f87cea8f92a6 100644
--- a/manifests/batches/numina/000467.json
+++ b/manifests/batches/numina/000467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000467",
   "batch_fingerprint": "e0b69199d2004431dc91d815d5accf3af2a9360b1b71ece02ce081ff42f6d5e5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000467-0000-2399eec75bb0638c.parquet",
-      "sha256": "2399eec75bb0638cfab3d4f53bb77fabeef37e718a019d4262411cda3284ea4e",
-      "bytes": 325998,
-      "rows": 18,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/internal_test/numina-000467-0000-ef1ed7eb78d1ed1b.parquet",
-      "sha256": "ef1ed7eb78d1ed1b8cf57bed6fecd9ccd48d08c7e45aa9e0d6ee623b3dcb18ad",
-      "bytes": 498205,
-      "rows": 36,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:66320537-0bec-5060-8699-f93c59c4071b",
     "numina:85c2e20c-c2c5-5955-a346-fe489616b284",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002337.lean\",\"aa5275be3810186cc92f536794e805666d4f083faa0e2f36c26943aaf56af213\",0,\"algebra_604906\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002338.lean\",\"aaca95a08706e37b146395f4d6a364b21b91cc1b4b3ba716ce7f27a1edfcadc7\",0,\"inequalities_604913\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002339.lean\",\"1b1da6236995001e627813a68dce4a181a938616199ac3edd67d2ffae84d13ab\",3,\"NumberTheory_604916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325998,
+      "path": "data/train/pf9/numina-000467-0000-2399eec75bb0638c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2399eec75bb0638cfab3d4f53bb77fabeef37e718a019d4262411cda3284ea4e"
+    },
+    {
+      "bytes": 498205,
+      "path": "data/internal_test/pf9/numina-000467-0000-ef1ed7eb78d1ed1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "ef1ed7eb78d1ed1b8cf57bed6fecd9ccd48d08c7e45aa9e0d6ee623b3dcb18ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000468.json b/manifests/batches/numina/000468.json
index 08d4f629d578d3321569b6f024ff12ce46ef3556..bdf8b2d02c87810adbcc3218d0e3b8f9a5b59c66 100644
--- a/manifests/batches/numina/000468.json
+++ b/manifests/batches/numina/000468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000468",
   "batch_fingerprint": "cff61257f0fcb46facb602b91a94e713f237573ae5697a2a4a0ea90fedc9cf9d",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000468-0000-08dd6b02de9cdbc4.parquet",
-      "sha256": "08dd6b02de9cdbc442a6cff92a30e2ae23f93ddcbc3a95794be0e52ed38cd22b",
-      "bytes": 506067,
-      "rows": 17,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:62e924b4-6d70-563a-9c8e-191a2c7a2396",
     "numina:8a2674de-ede6-5585-8a42-d21dcbb915ee",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002341.lean\",\"0758867ea9d90152d2c8c4f5b9de732187148ac92a934d261a975290fdb7109f\",0,\"number_theory_604935\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002343.lean\",\"8952e0fbc2d7efd659ec265580287ae292ae80c78f27dee98eaf82f10a55cda8\",0,\"algebra_604945\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002344.lean\",\"9677dbc7a9b3fe316f2a5d329d1b6c54fe79b915d6b718622209924243f9eb21\",0,\"number_theory_604949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506067,
+      "path": "data/train/pdb/numina-000468-0000-08dd6b02de9cdbc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "08dd6b02de9cdbc442a6cff92a30e2ae23f93ddcbc3a95794be0e52ed38cd22b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000469.json b/manifests/batches/numina/000469.json
index c0317afcaca7c79125c54c6d84f4b96648b1f19a..a0606889648bec8ad2f560d30b16bc47e6ddb629 100644
--- a/manifests/batches/numina/000469.json
+++ b/manifests/batches/numina/000469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000469",
   "batch_fingerprint": "3aa2eabbc924381e359c62ac0340007c748cb0f9d1c1d87157bcdfc03816bf5e",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000469-0000-6c573f15d7e79ade.parquet",
-      "sha256": "6c573f15d7e79ade386e21f7290869fabd1c405d0eabf945f7c2e574e98a083e",
-      "bytes": 601551,
-      "rows": 50,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/train/numina-000469-0001-4516a93c6f08366a.parquet",
-      "sha256": "4516a93c6f08366ae5c5c45ff260e38c563fa65fd626b21e22bd0daa4522add4",
-      "bytes": 365575,
-      "rows": 30,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/dev/numina-000469-0000-fa7aaafd0c6f9df8.parquet",
-      "sha256": "fa7aaafd0c6f9df8bcce455aaeca07c19e06aa6b6fe3422a5f799e7365b128b7",
-      "bytes": 53225,
-      "rows": 3,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:52164dac-417d-5992-a9a7-8760c297572b",
     "numina:60959c51-8989-58d7-9bd3-169ede09c305",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002347.lean\",\"bcb4e1867511929f79d3fbc0d03a5b50d9ca84de2a8d091d0210254eaae9f14f\",1,\"combinatorics_604992\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002348.lean\",\"a51e92af8b4fb2ce4428e51c1e8ae59ce75bcacd788aa4102071fc1633c920b3\",0,\"algebra_605011\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002349.lean\",\"7d0d4aab9875ed2aa5bcdf8a32dbb8f7a4c8d5957bdf29ef4210ef020bf994e9\",0,\"number_theory_605042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601551,
+      "path": "data/train/pf6/numina-000469-0000-6c573f15d7e79ade.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "6c573f15d7e79ade386e21f7290869fabd1c405d0eabf945f7c2e574e98a083e"
+    },
+    {
+      "bytes": 365575,
+      "path": "data/train/pf6/numina-000469-0001-4516a93c6f08366a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4516a93c6f08366ae5c5c45ff260e38c563fa65fd626b21e22bd0daa4522add4"
+    },
+    {
+      "bytes": 53225,
+      "path": "data/dev/pf6/numina-000469-0000-fa7aaafd0c6f9df8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fa7aaafd0c6f9df8bcce455aaeca07c19e06aa6b6fe3422a5f799e7365b128b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000470.json b/manifests/batches/numina/000470.json
index 6f307ac2efc2128904e574a179c85109c98d4c0f..c167451a30558fd02ca31c3b95998bb54607b9df 100644
--- a/manifests/batches/numina/000470.json
+++ b/manifests/batches/numina/000470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000470",
   "batch_fingerprint": "f5ce6a8b8dc253ff34ad90871362bc73b8b1fc8be2122ba7c770311a1cedb55b",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000470-0000-32522ec75651b8f0.parquet",
-      "sha256": "32522ec75651b8f0a292b291751a837f06d8090c78c8f20fdc6338fb3463dd75",
-      "bytes": 195309,
-      "rows": 7,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/internal_test/numina-000470-0000-f44e78b6828eb3a0.parquet",
-      "sha256": "f44e78b6828eb3a0f084a3b64590fde0a97054c1b09b603a92fa056e5c7dd081",
-      "bytes": 78667,
-      "rows": 10,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:b7da83d9-cb95-533f-b84b-2d1438fba24b",
     "numina:bd5d0a0a-45e5-5439-8fee-386b96dcc29a",
@@ -81,5 +65,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002350.lean\",\"0165a642ec4871e4725b565e2ef24f4b90c506bc5f722e46f68ea7d138f284df\",0,\"algebra_605045\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002352.lean\",\"63d6537578a9bbeb1244c78690753cdd473c25d7c55bd4f42ec7ce0ea82007da\",0,\"algebra_605071\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002354.lean\",\"6baf396ea5f1f46211ee279df2f7264aeae3f9fb94945560e05c0b942ee461f1\",0,\"algebra_605092\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195309,
+      "path": "data/train/p99/numina-000470-0000-32522ec75651b8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "32522ec75651b8f0a292b291751a837f06d8090c78c8f20fdc6338fb3463dd75"
+    },
+    {
+      "bytes": 78667,
+      "path": "data/internal_test/p99/numina-000470-0000-f44e78b6828eb3a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f44e78b6828eb3a0f084a3b64590fde0a97054c1b09b603a92fa056e5c7dd081"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000471.json b/manifests/batches/numina/000471.json
index 24f68e4efbfc52fbcecbf7a4ecad668f10f9095c..11571016c132a7ac8a288ea1df4ba263ae6f4c8d 100644
--- a/manifests/batches/numina/000471.json
+++ b/manifests/batches/numina/000471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000471",
   "batch_fingerprint": "93b3291a2d83a3cec3f64ef2801227561070af976f5b66e793e810f14224ae12",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000471-0000-e0dc2404546d37bf.parquet",
-      "sha256": "e0dc2404546d37bf5354aab368c37f6da9fe376aa3dc4bc691877590f044c8d4",
-      "bytes": 274645,
-      "rows": 33,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    },
-    {
-      "path": "data/dev/numina-000471-0000-eb53e8eae2353044.parquet",
-      "sha256": "eb53e8eae235304435ae4443e7cf0185fcc41eaac8b06edbfbddcd24619de4a1",
-      "bytes": 27843,
-      "rows": 1,
-      "revision": "484a634374427720edbb34c5514c85345b426db4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46d684aa-f7ec-52fa-9333-fe9f762e7867",
     "numina:60afcc44-95be-55cc-9a7b-22489ab96619",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002357.lean\",\"ada40acf6e1b97f2810b816e8ef697ec6ab120721664d6f0efb1e2d9be67f918\",0,\"number_theory_605112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002358.lean\",\"d24ee242a897e220355f2b637b99c9cd50c6d6e8c86b212f0248927da42b1565\",0,\"number_theory_605114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002359.lean\",\"d5befe8f2b5476d7bcab51f0e70958bf1102aa0918d7eb1d7fa066e3f06374fd\",0,\"algebra_605136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274645,
+      "path": "data/train/p9d/numina-000471-0000-e0dc2404546d37bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e0dc2404546d37bf5354aab368c37f6da9fe376aa3dc4bc691877590f044c8d4"
+    },
+    {
+      "bytes": 27843,
+      "path": "data/dev/p9d/numina-000471-0000-eb53e8eae2353044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "eb53e8eae235304435ae4443e7cf0185fcc41eaac8b06edbfbddcd24619de4a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000472.json b/manifests/batches/numina/000472.json
index 54cee386c9d9c2c9eb330a437c0ca60fc70d88d5..4bc4292ea9a15eceff2561a688de443a0e1794e4 100644
--- a/manifests/batches/numina/000472.json
+++ b/manifests/batches/numina/000472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000472",
   "batch_fingerprint": "a3d6933b2991988e0d00222a860db395083b8e41f75563da4260c78bb7f7dbac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000472-0000-059650bf362c7271.parquet",
-      "sha256": "059650bf362c72714ae83b1a076b99e39b7753b315a39c9e3b21516006ec8053",
-      "bytes": 579042,
-      "rows": 29,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    },
-    {
-      "path": "data/internal_test/numina-000472-0000-0ac3e6857e516445.parquet",
-      "sha256": "0ac3e6857e516445862b2e9fc5b6f1b8f414bf6b9f5f95c226b80c44e4e5eedc",
-      "bytes": 96546,
-      "rows": 8,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:118a1234-e30b-5b48-88aa-a38264a08f39",
     "numina:2e853c6a-23d3-5656-b863-9a445f0cd46a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002362.lean\",\"44e046b60b994ea310e1e96db892065f8b387b963bd48fe165de1370a6217ed3\",0,\"algebra_605169\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002363.lean\",\"1709346b7df557281e7a7819a1e88734449165cee200b1869bc08a7a15151671\",0,\"number_theory_605170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002364.lean\",\"fc360204641971c8c4747b5ac30dd635db6cac04623c0ff3b7ebc072da52a32b\",0,\"trial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 579042,
+      "path": "data/train/p95/numina-000472-0000-059650bf362c7271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "059650bf362c72714ae83b1a076b99e39b7753b315a39c9e3b21516006ec8053"
+    },
+    {
+      "bytes": 96546,
+      "path": "data/internal_test/p95/numina-000472-0000-0ac3e6857e516445.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0ac3e6857e516445862b2e9fc5b6f1b8f414bf6b9f5f95c226b80c44e4e5eedc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000473.json b/manifests/batches/numina/000473.json
index bf93c8d1e0dcc3b8f4dd8eef93768ef69641ac22..c8e22a09e02e30517d085acb78c2c1803422801f 100644
--- a/manifests/batches/numina/000473.json
+++ b/manifests/batches/numina/000473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000473",
   "batch_fingerprint": "15dabeebf968c90e90d588ca19fa443bb2f7730f610f420e509fd4531abff5c1",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000473-0000-34052b74db3665c9.parquet",
-      "sha256": "34052b74db3665c999ba64971f17d515395fc51a576f95690785d73c9bf18e73",
-      "bytes": 394579,
-      "rows": 24,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/train/numina-000473-0001-fe82624b4d0b6d6b.parquet",
-      "sha256": "fe82624b4d0b6d6be73a25a6fc9c833fc88776d9c6db77eee7f96bda93584053",
-      "bytes": 507700,
-      "rows": 8,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/train/numina-000473-0002-84feef8b9d9b99f9.parquet",
-      "sha256": "84feef8b9d9b99f9c2d2c001a64c55f98c9d9211c2804d6171151d8a802af2a8",
-      "bytes": 293343,
-      "rows": 12,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c61b424-a3d1-5203-af48-a2ab9df1106a",
     "numina:66d2e9be-bb6e-598f-87ef-e2d58b4dc929",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002367.lean\",\"33586ab8c1e7956e9fc073d23b651e8c12fcc3ecd8ba93d2c30ac3c88633bf6d\",0,\"number_theory_605247\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002368.lean\",\"819212d70e6355b8125982d49a99a76df83abaa6546462e0e5f7ecfb45a6ea11\",0,\"number_theory_605259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002369.lean\",\"b3b93a88768506c11e542af96662d113fb0b7a3e26b156d20727f9c970cc9cc9\",0,\"number_theory_605284\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394579,
+      "path": "data/train/pec/numina-000473-0000-34052b74db3665c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "34052b74db3665c999ba64971f17d515395fc51a576f95690785d73c9bf18e73"
+    },
+    {
+      "bytes": 507700,
+      "path": "data/train/pec/numina-000473-0001-fe82624b4d0b6d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fe82624b4d0b6d6be73a25a6fc9c833fc88776d9c6db77eee7f96bda93584053"
+    },
+    {
+      "bytes": 293343,
+      "path": "data/train/pec/numina-000473-0002-84feef8b9d9b99f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "84feef8b9d9b99f9c2d2c001a64c55f98c9d9211c2804d6171151d8a802af2a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000474.json b/manifests/batches/numina/000474.json
index 4261d0773c35edf2ec757764b6e578afe88ffc56..dd28a656030f70eb9d613dbc24ced79dbb970b6b 100644
--- a/manifests/batches/numina/000474.json
+++ b/manifests/batches/numina/000474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000474",
   "batch_fingerprint": "436dcc61783043e05aea4028f6689ff9e666e194a29f71841b73a58fca548c0a",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000474-0000-c1eb9ddf15b13ef7.parquet",
-      "sha256": "c1eb9ddf15b13ef75345568ee4bbe2c9deef21f294c04f6d3015d12c4f36903d",
-      "bytes": 577429,
-      "rows": 10,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/internal_test/numina-000474-0000-237736909c709038.parquet",
-      "sha256": "237736909c7090388c3059ee4ad13ddad3101be468aa940507305de740a08bc3",
-      "bytes": 221396,
-      "rows": 3,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4855c5d1-f08d-5a54-82fd-1a115a4e55d1",
     "numina:8963e995-c48c-5048-8c76-1e238c4b5b35",
@@ -81,5 +65,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002371.lean\",\"16592b6198fd54d4264b2f78fc715bb4a4e7ac10e277d218b1e093a81124b6f5\",1,\"number_theory_605333\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002372.lean\",\"ae5319e157f6417f6e70c87b98ef4027020dc6e84dc3d463d9f9207727b7c685\",0,\"algebra_605337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002373.lean\",\"dc336e5b0a196daa78873c527ac0e44952291def881bfa5c46b1234f3614aa4c\",0,\"number_theory_605347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577429,
+      "path": "data/train/pdf/numina-000474-0000-c1eb9ddf15b13ef7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c1eb9ddf15b13ef75345568ee4bbe2c9deef21f294c04f6d3015d12c4f36903d"
+    },
+    {
+      "bytes": 221396,
+      "path": "data/internal_test/pdf/numina-000474-0000-237736909c709038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "237736909c7090388c3059ee4ad13ddad3101be468aa940507305de740a08bc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000475.json b/manifests/batches/numina/000475.json
index 57a12d4c96dd56fb390056b2b622872fb51efd62..ced4bec40b763de55d82b8e5d2fc0ed733e54407 100644
--- a/manifests/batches/numina/000475.json
+++ b/manifests/batches/numina/000475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000475",
   "batch_fingerprint": "b6789010e25f5d6b26fa47713445162df6a6ebebce2c014b7d4283bd685d9cf7",
   "evidence": {
@@ -87,15 +86,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000475-0000-ab3b7434e0326b61.parquet",
-      "sha256": "ab3b7434e0326b61dbcfc17b3ee6225fdfadc3f78ff5d46132c5f8463194b78c",
-      "bytes": 219172,
-      "rows": 30,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:74951eb5-04ec-5412-bd60-a1ef331a8f63",
     "numina:fbb5f373-6876-52ae-b01b-95681c978be4"
@@ -103,5 +94,14 @@
   "proof_keys": [
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002377.lean\",\"6765db173a42b7999622fc478ba9362ac400ab5c37261c5b2fc640f9665ca3f3\",1,\"number_theory_605353\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002379.lean\",\"196956b3ad4709811150e3e8f1cf7e73df17dff382a6917a83a32945cb1dd7a8\",0,\"algebra_605363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219172,
+      "path": "data/train/p7e/numina-000475-0000-ab3b7434e0326b61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ab3b7434e0326b61dbcfc17b3ee6225fdfadc3f78ff5d46132c5f8463194b78c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000476.json b/manifests/batches/numina/000476.json
index 05a7ab13d07a0831494ad5bf0e4a64518fa514b6..0ac25d9acc48154a2af06b1fa80c62af07ef362f 100644
--- a/manifests/batches/numina/000476.json
+++ b/manifests/batches/numina/000476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000476",
   "batch_fingerprint": "7a32181cec62e720931d177dccd7af81befc838669a6b509e198774efaf01df2",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000476-0000-ed743dfd3b5d6537.parquet",
-      "sha256": "ed743dfd3b5d65375fa404e2d555c6a70821901d872db7d8b49d1a63d53d2c90",
-      "bytes": 250257,
-      "rows": 13,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/train/numina-000476-0001-14362452cbe6551e.parquet",
-      "sha256": "14362452cbe6551e645bca729bc5fa36485ab011347ded5328cef9d990f601f3",
-      "bytes": 1429409,
-      "rows": 1,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/train/numina-000476-0002-be775c01c4c036d0.parquet",
-      "sha256": "be775c01c4c036d013a1c003cffe672be8b2ea15d6b8429e46e661c920c01c05",
-      "bytes": 312527,
-      "rows": 18,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e4292a1-51a9-570f-83ed-b6609084098a",
     "numina:45a295cc-d9dd-5e5c-8512-ca197480f01d",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002382.lean\",\"fc9502a617dcd89416ec0399c1da18fd363a7a99f0ee7198c07589bd01d08080\",0,\"number_theory_605390\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002383.lean\",\"04ef13a492cf7b8133084a7b609cd14df8921bb8d12ab42dbfe3c5e061b27355\",0,\"combinatorics_605392\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002384.lean\",\"693e33505e637dbf8b4e2ec8166b7a801c2555686f6b6745874ebf1b59c543ca\",0,\"number_theory_605406\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250257,
+      "path": "data/train/p43/numina-000476-0000-ed743dfd3b5d6537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ed743dfd3b5d65375fa404e2d555c6a70821901d872db7d8b49d1a63d53d2c90"
+    },
+    {
+      "bytes": 1429409,
+      "path": "data/train/p43/numina-000476-0001-14362452cbe6551e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "14362452cbe6551e645bca729bc5fa36485ab011347ded5328cef9d990f601f3"
+    },
+    {
+      "bytes": 312527,
+      "path": "data/train/p43/numina-000476-0002-be775c01c4c036d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "be775c01c4c036d013a1c003cffe672be8b2ea15d6b8429e46e661c920c01c05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000477.json b/manifests/batches/numina/000477.json
index 781ea4059fadc5a6092f01dc0ec21125d1267660..e04688dca353011727bc7f1dee88a8ad13ef9efd 100644
--- a/manifests/batches/numina/000477.json
+++ b/manifests/batches/numina/000477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000477",
   "batch_fingerprint": "a9610709c01b49b028fe1b395cd5e1cc4b8a08cf9233d9cbe3634cdb1a3d2691",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000477-0000-b766cb094c17bc37.parquet",
-      "sha256": "b766cb094c17bc3752e32745d0b43c1abe9321d93453316be7605f1c5776f1cb",
-      "bytes": 237166,
-      "rows": 16,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/internal_test/numina-000477-0000-45cf7e0999893fca.parquet",
-      "sha256": "45cf7e0999893fca0238ba5caf9761b16ef7bad0517d1ca208c6b7396075c576",
-      "bytes": 626285,
-      "rows": 48,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/internal_test/numina-000477-0001-2a74a156e0257bde.parquet",
-      "sha256": "2a74a156e0257bde09ca8a24aac09ad6da1959f6d9109e08096a3384a3d113bf",
-      "bytes": 230549,
-      "rows": 27,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:183a3979-ee58-55ca-82a6-63bf9b63c568",
     "numina:38425ca8-71e6-5970-a0fd-0c17305c1ef1",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002387.lean\",\"12a6ec1a767020f98f75cf6e7b36c8a5bf90c301022795cdaddef3668863d1f6\",0,\"number_theory_605416\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002388.lean\",\"18470cd7d2271d2da88f674c4a6bf0365d10e2d8330a29b27b377c4a6540791f\",0,\"number_theory_605357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002389.lean\",\"2027bd7aa7ae4cea84fdf11363323c841bc7b5642d9e32e73836910556b1f5a1\",0,\"number_theory_605439\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237166,
+      "path": "data/train/p12/numina-000477-0000-b766cb094c17bc37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b766cb094c17bc3752e32745d0b43c1abe9321d93453316be7605f1c5776f1cb"
+    },
+    {
+      "bytes": 626285,
+      "path": "data/internal_test/p12/numina-000477-0000-45cf7e0999893fca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "45cf7e0999893fca0238ba5caf9761b16ef7bad0517d1ca208c6b7396075c576"
+    },
+    {
+      "bytes": 230549,
+      "path": "data/internal_test/p12/numina-000477-0001-2a74a156e0257bde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2a74a156e0257bde09ca8a24aac09ad6da1959f6d9109e08096a3384a3d113bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000478.json b/manifests/batches/numina/000478.json
index bf07b261d9924de0de75ee025bc97a491aafeb25..03a85b596c61ff84c34b8aa185c41b23ac3f991b 100644
--- a/manifests/batches/numina/000478.json
+++ b/manifests/batches/numina/000478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000478",
   "batch_fingerprint": "e447dfbf47c7538b6c40bdd56b75a7c21192c40c7d14c1b7abe82170442e5485",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000478-0000-71c06dc34a9d2f0a.parquet",
-      "sha256": "71c06dc34a9d2f0a1ffef4e00d9a10a75f8b0bfee461fce953d7506636b015b5",
-      "bytes": 634058,
-      "rows": 57,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/train/numina-000478-0001-9525e1fa293c5920.parquet",
-      "sha256": "9525e1fa293c5920c0fdc903434052db725017cc8fa084654f5a1a00861c6b65",
-      "bytes": 636404,
-      "rows": 37,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/train/numina-000478-0002-100e3ddd161eb032.parquet",
-      "sha256": "100e3ddd161eb0325b80e103be93ed4719b60f5720bbce7ca220022ba27326c8",
-      "bytes": 569620,
-      "rows": 29,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b386c5a-4a5f-5a5c-b242-a91743be5472",
     "numina:0e5c5fc2-1b05-5f1f-bcc8-f57dac50d8e0",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002392.lean\",\"e2f5b325bf230225aac7e28fcaeb3e0c6c0d9bdbf67426f1685cecb1858c4c71\",0,\"algebra_605462\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002393.lean\",\"35802d22702cf2183833ac57ec76fe65a89e42fb1b5b6fcf2bc31a05ce4575fa\",0,\"inequalities_605477\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002394.lean\",\"325e3d98808f890d5cfd44c7269eb03b060fb505104119f6e6c2c5534b05e987\",0,\"number_theory_605491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634058,
+      "path": "data/train/p74/numina-000478-0000-71c06dc34a9d2f0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "71c06dc34a9d2f0a1ffef4e00d9a10a75f8b0bfee461fce953d7506636b015b5"
+    },
+    {
+      "bytes": 636404,
+      "path": "data/train/p74/numina-000478-0001-9525e1fa293c5920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "9525e1fa293c5920c0fdc903434052db725017cc8fa084654f5a1a00861c6b65"
+    },
+    {
+      "bytes": 569620,
+      "path": "data/train/p74/numina-000478-0002-100e3ddd161eb032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "100e3ddd161eb0325b80e103be93ed4719b60f5720bbce7ca220022ba27326c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000479.json b/manifests/batches/numina/000479.json
index 6926f7dd63f6542d93dd4c18e53fd292142ff710..f2a24a886e9a2533529f4fa6bff96d179aafdd26 100644
--- a/manifests/batches/numina/000479.json
+++ b/manifests/batches/numina/000479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000479",
   "batch_fingerprint": "80e7b551c8f7a216d042e92b5bffd580ad9097449e9f56f4f1ba6573032c269a",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000479-0000-12f100ab24e28e06.parquet",
-      "sha256": "12f100ab24e28e06f5e5d1b23e4b72bf24a7665c8545aa6b73489c89dc7e3b06",
-      "bytes": 639930,
-      "rows": 44,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b6bb3b0-c925-5dcc-937b-c073c7271090",
     "numina:1ddc2f3b-efd6-5592-aaa5-eb36fde23bdb",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002396.lean\",\"f8e9f17183761d2fc44b230156f34e7d4a3be3d52937acbc76cdfd463accf5da\",0,\"inequalities_605500\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002397.lean\",\"c7f152a4e7f1db4b23704afa0a8f2073aff4ab742b52641a1c24827fb1e3d9a5\",0,\"algebra_32769\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002398.lean\",\"312fbe8a084c4d3f13da906e326e21ceb88b5220db35c0118e96843f1b997ee2\",0,\"number_theory_605526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 639930,
+      "path": "data/train/p9e/numina-000479-0000-12f100ab24e28e06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "12f100ab24e28e06f5e5d1b23e4b72bf24a7665c8545aa6b73489c89dc7e3b06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000480.json b/manifests/batches/numina/000480.json
index 4e6e93d56ce8bf174e0302792307240262bd9e0f..10ae03b446fce84d41368350115c86f0722a13d6 100644
--- a/manifests/batches/numina/000480.json
+++ b/manifests/batches/numina/000480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000480",
   "batch_fingerprint": "970636cc7ebed7f5a9647eac9a6bf0d1fe844b478536d220e856868ca4c56890",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000480-0000-780e9004e47984a1.parquet",
-      "sha256": "780e9004e47984a1cf0f64d1afb995621bfbbbbc96490dc1782895db8ecb1459",
-      "bytes": 491732,
-      "rows": 28,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:524c3fd7-685a-5c1f-9da1-ecad91e9f512",
     "numina:994428fa-b170-512b-a1cd-746ba8b4d3a0",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002401.lean\",\"576121bdeb7174adea623855ebe2520015d033d0be20a9f4b707cc4f84bdb84b\",0,\"number_theory_605578\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002403.lean\",\"1edde442c219fb6c071b7e56681a30bffbe5494083c117a96c51356300fa552b\",0,\"number_theory_605597\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002404.lean\",\"69998ccb0cbcaf73070ce04b20ae320c31ddc35838c40face93671a705b888e7\",0,\"number_theory_605607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 491732,
+      "path": "data/train/pcb/numina-000480-0000-780e9004e47984a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "780e9004e47984a1cf0f64d1afb995621bfbbbbc96490dc1782895db8ecb1459"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000481.json b/manifests/batches/numina/000481.json
index a2a5ee2112d879f5d06d3ad22d14bf2273109583..16b360cf9ef3618340b34a0e6894ad15c2ef7daa 100644
--- a/manifests/batches/numina/000481.json
+++ b/manifests/batches/numina/000481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000481",
   "batch_fingerprint": "09ba45c8d9c071d84edcadae4e798011a4c18f59eabec9b420f7e961494f0cec",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:09f5abf9-be1a-54f2-be64-cb24cac952ef",
+    "numina:18de8ec4-14c9-58c3-9d5e-74049d2bc129",
+    "numina:28499edb-ddd1-5c48-83f2-a5d0cd555339",
+    "numina:6284536d-155f-5663-96b1-736efcf30164"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002405.lean\",\"64828da9a8a889f3a01d5cf23fb76c5e29408a26a855f5bdeccf289ef66ce82e\",0,\"algebra_605609\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002406.lean\",\"41983dd18f88aa7723cf74789215ca07b315db7079522636547b599ad369a8c5\",0,\"algebra_605622\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002407.lean\",\"bca59f354f79e731cf63d4f0c185a98fbee96d478d216b60013906cc34b4f837\",0,\"Algebra_605623\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002409.lean\",\"9dc6d0f1715828568ac7b658d71fa26774991a4e6ddcaa079b361b17193a5641\",0,\"number_theory_605634\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000481-0000-1c40048ab598d080.parquet",
-      "sha256": "1c40048ab598d08097ed747e5a19bfc10ea47f6798c761eb376a3db00b136d99",
       "bytes": 646861,
+      "path": "data/train/pbf/numina-000481-0000-1c40048ab598d080.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
+      "sha256": "1c40048ab598d08097ed747e5a19bfc10ea47f6798c761eb376a3db00b136d99"
     },
     {
-      "path": "data/train/numina-000481-0001-ca23a82bb385e475.parquet",
-      "sha256": "ca23a82bb385e4754b66fd40e47887d723bdd1c4ed3eaaa201f13f09f677fc81",
       "bytes": 317474,
+      "path": "data/train/pbf/numina-000481-0001-ca23a82bb385e475.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
+      "sha256": "ca23a82bb385e4754b66fd40e47887d723bdd1c4ed3eaaa201f13f09f677fc81"
     },
     {
-      "path": "data/internal_test/numina-000481-0000-03c12b57c8cbe5f2.parquet",
-      "sha256": "03c12b57c8cbe5f25a4781c6aaae6745078caeca77c3f212566dff3cfcc1072c",
       "bytes": 268881,
+      "path": "data/internal_test/pbf/numina-000481-0000-03c12b57c8cbe5f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
+      "sha256": "03c12b57c8cbe5f25a4781c6aaae6745078caeca77c3f212566dff3cfcc1072c"
     }
-  ],
-  "proof_ids": [
-    "numina:09f5abf9-be1a-54f2-be64-cb24cac952ef",
-    "numina:18de8ec4-14c9-58c3-9d5e-74049d2bc129",
-    "numina:28499edb-ddd1-5c48-83f2-a5d0cd555339",
-    "numina:6284536d-155f-5663-96b1-736efcf30164"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002405.lean\",\"64828da9a8a889f3a01d5cf23fb76c5e29408a26a855f5bdeccf289ef66ce82e\",0,\"algebra_605609\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002406.lean\",\"41983dd18f88aa7723cf74789215ca07b315db7079522636547b599ad369a8c5\",0,\"algebra_605622\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002407.lean\",\"bca59f354f79e731cf63d4f0c185a98fbee96d478d216b60013906cc34b4f837\",0,\"Algebra_605623\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002409.lean\",\"9dc6d0f1715828568ac7b658d71fa26774991a4e6ddcaa079b361b17193a5641\",0,\"number_theory_605634\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000482.json b/manifests/batches/numina/000482.json
index 475c7a60a58ef580dfe1776db69472bf15c6c38a..4782d6227ddd9d7bebb968b6e758ba04ca63811d 100644
--- a/manifests/batches/numina/000482.json
+++ b/manifests/batches/numina/000482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000482",
   "batch_fingerprint": "a7753f8904a6b146eeb5ad5f0a3bf22a8df5af739acf137046f84bd43f9040b6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000482-0000-a9c98aa1b5991a77.parquet",
-      "sha256": "a9c98aa1b5991a7797f29e315ee7a439032bd51743e47195e4c909e817052ea9",
-      "bytes": 702142,
-      "rows": 51,
-      "revision": "9e69a1a22c24a25cc53e66e62db49476cbbb5fcb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:a0924b6e-a0c7-5111-ad49-337ad1a98810",
     "numina:ab54b694-a709-5800-ac81-5798886ef285",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002412.lean\",\"f480971a07f2f902e2c5e7004eb2535683bad00b3597cd3c49be138eaccd09ea\",0,\"combinatorics_605695\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002413.lean\",\"e07458ef7f59ca9ed9ffe6a3375eb29c050a903ae69030dff3010a5b490327e7\",0,\"number_theory_605712\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002414.lean\",\"4601dacb07376b4bbb5655de01acebb50197abdb522908d57c84fdc78240833d\",0,\"number_theory_605715\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 702142,
+      "path": "data/train/p1a/numina-000482-0000-a9c98aa1b5991a77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "a9c98aa1b5991a7797f29e315ee7a439032bd51743e47195e4c909e817052ea9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000483.json b/manifests/batches/numina/000483.json
index bbc1ce4676dd2be24cedb60d8912c6b81fb508b3..57b246434b701b5e9f7206746f1b90048c65e379 100644
--- a/manifests/batches/numina/000483.json
+++ b/manifests/batches/numina/000483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000483",
   "batch_fingerprint": "5669c4297286f90882206b09b0101de83705d4aa82b8c4653c89b9da925dae5f",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000483-0000-455690fc88191cbb.parquet",
-      "sha256": "455690fc88191cbbedb64baac44b0e78fe8a31fb717840aad7920c477ddc1c68",
-      "bytes": 612434,
-      "rows": 41,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38685123-687d-52c8-af0e-392ebab42a1d",
     "numina:9c1fa06f-01bf-5b95-abb5-dca6250b4490",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002416.lean\",\"d57172487e39e60ded50ddc4102fccb1a71ddd3e84acb853654334a98f6ffcec\",0,\"algebra_605732\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002417.lean\",\"a85b0a11b60f9cda6a12ff03be904b3aa0bfe5b756b18fdd3477f92124aae45f\",0,\"number_theory_605742\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002418.lean\",\"c029e644eb57d1ad8a3c08b377493765065fe772264a01660e25fd312df2011d\",0,\"number_theory_605764\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612434,
+      "path": "data/train/p83/numina-000483-0000-455690fc88191cbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "455690fc88191cbbedb64baac44b0e78fe8a31fb717840aad7920c477ddc1c68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000484.json b/manifests/batches/numina/000484.json
index 561986cc573123d7a50f4adca2b67475766c068c..c2aeeee85a09d68e1bb4973ac69e144ac84cf8cd 100644
--- a/manifests/batches/numina/000484.json
+++ b/manifests/batches/numina/000484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000484",
   "batch_fingerprint": "5258593872395d95bc30c7e406807304965b83fae164db0024dadec11de6bd3a",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000484-0000-b8531b6fa003485b.parquet",
-      "sha256": "b8531b6fa003485b3bcb5cc0af3bda00d0c4f1dc4175167e91787e379bc7e72c",
-      "bytes": 564660,
-      "rows": 51,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/train/numina-000484-0001-29790172ade38313.parquet",
-      "sha256": "29790172ade383137a2e5c6322eb24bdb99acf570c1c638822ea8235258f5902",
-      "bytes": 631546,
-      "rows": 13,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/internal_test/numina-000484-0000-930903e8ec413207.parquet",
-      "sha256": "930903e8ec4132078fa33bf0b0f4652c2a3b2a6eb74a2265084e7d82387baa9f",
-      "bytes": 126244,
-      "rows": 9,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c63d421-1cdb-5ea3-9b50-e755b3df3a90",
     "numina:84d4aa20-44c5-5553-9a1a-d85951b2b76c",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002422.lean\",\"1c5e53cde4c38827c292e86ac63aadd870fe4196c9853af24fb15cbd46ac181c\",0,\"number_theory_605820\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002423.lean\",\"d3c1d7cd75139fca81c62e0dd3d0e81d2fcd8176b10b19e611cf9a537f56360c\",0,\"algebra_605836\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002424.lean\",\"f19961340988084372a9970827b598436d49b6b30706bcfb353dea4836c7605d\",0,\"algebra_605864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 564660,
+      "path": "data/train/p74/numina-000484-0000-b8531b6fa003485b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "b8531b6fa003485b3bcb5cc0af3bda00d0c4f1dc4175167e91787e379bc7e72c"
+    },
+    {
+      "bytes": 631546,
+      "path": "data/train/p74/numina-000484-0001-29790172ade38313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "29790172ade383137a2e5c6322eb24bdb99acf570c1c638822ea8235258f5902"
+    },
+    {
+      "bytes": 126244,
+      "path": "data/internal_test/p74/numina-000484-0000-930903e8ec413207.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "930903e8ec4132078fa33bf0b0f4652c2a3b2a6eb74a2265084e7d82387baa9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000485.json b/manifests/batches/numina/000485.json
index 9a33503ddfa4bebda6449edc2ea7682df0d3d633..bfbfc827bff2f8554aebe67b9f7aba36887a09d5 100644
--- a/manifests/batches/numina/000485.json
+++ b/manifests/batches/numina/000485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000485",
   "batch_fingerprint": "fc431bb14f593a63d7972f28cc69974a996832757abcc83c812a73cffb9e68bf",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000485-0000-1fad4f8457970e97.parquet",
-      "sha256": "1fad4f8457970e97794c2943c882a49de4dd60094b1c67578ad6dd3cc6738318",
-      "bytes": 533424,
-      "rows": 11,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/train/numina-000485-0001-26eb387e6f54d322.parquet",
-      "sha256": "26eb387e6f54d322890df1b8bbfab415c9df4244b172dc90f34fe99948f2911e",
-      "bytes": 366719,
-      "rows": 20,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    },
-    {
-      "path": "data/internal_test/numina-000485-0000-f91b212122d95ae0.parquet",
-      "sha256": "f91b212122d95ae006fde1f35d452bcb350980161f236b57d6b3eddcfe3d9fb9",
-      "bytes": 75898,
-      "rows": 10,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01fa14c7-a33f-5f4f-9fe7-2d893c01170b",
     "numina:33968beb-60ad-5cc9-9e6a-a004f381bf11",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002427.lean\",\"dc06eea10b1cc666dde534c89776c22ede8269e994a75cd3746fc4b4d9463341\",0,\"algebra_605902\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002428.lean\",\"3d07ccaba126b3266e98e5107fb1c226274166ee63c90b7a1f8eb589e21f1058\",0,\"number_theory_605932\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002429.lean\",\"06639a756cc46a90be198b0cc63539d0fda11acf9f07f4677ed6338762522d44\",0,\"number_theory_605940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533424,
+      "path": "data/train/pf2/numina-000485-0000-1fad4f8457970e97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1fad4f8457970e97794c2943c882a49de4dd60094b1c67578ad6dd3cc6738318"
+    },
+    {
+      "bytes": 366719,
+      "path": "data/train/pf2/numina-000485-0001-26eb387e6f54d322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "26eb387e6f54d322890df1b8bbfab415c9df4244b172dc90f34fe99948f2911e"
+    },
+    {
+      "bytes": 75898,
+      "path": "data/internal_test/pf2/numina-000485-0000-f91b212122d95ae0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f91b212122d95ae006fde1f35d452bcb350980161f236b57d6b3eddcfe3d9fb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000486.json b/manifests/batches/numina/000486.json
index 1ad366ca07e895aafce2b2b78e47955beae1cc96..5265fbd3ebf5cb05f2c03bb7afe186dbada78f18 100644
--- a/manifests/batches/numina/000486.json
+++ b/manifests/batches/numina/000486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000486",
   "batch_fingerprint": "a9961c0faa810de1a7ce2004f3147ccf11fcc18ecf2c38450dd1561e8230b73e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000486-0000-38bbcaf1ed5654d6.parquet",
-      "sha256": "38bbcaf1ed5654d627cfdae0419e2f5def3e7c99c9f534eccd7fe270c642fb89",
-      "bytes": 558839,
-      "rows": 20,
-      "revision": "6d87178b5fc7920a0634cff382fd7099bf9e38d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f98e4ec-f061-54a9-ba38-831c7f2c80d8",
     "numina:6153a381-e07e-53b5-80de-558f60948be5",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002432.lean\",\"5ab8b069656bb13af864a834873d58ecf8b2c0ea7184f8b7a2c807fe68dabafd\",1,\"number_theory_606021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002433.lean\",\"f331262ecc7d1f75eb501f6dc77116dba40aa7e342f0afeddbd362bdff51f826\",0,\"algebra_606027\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002434.lean\",\"c3742cc1ad02d5748062f14a0ca86c42328443c89dfd22522cb17f6b732e9ea1\",2,\"inequalities_606096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558839,
+      "path": "data/train/p05/numina-000486-0000-38bbcaf1ed5654d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "38bbcaf1ed5654d627cfdae0419e2f5def3e7c99c9f534eccd7fe270c642fb89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000487.json b/manifests/batches/numina/000487.json
index 095b3b0ae9b57e6db0b8db62c1744982d66834a6..104acf7b38e4899aaa8aa849d43a44885e707ca0 100644
--- a/manifests/batches/numina/000487.json
+++ b/manifests/batches/numina/000487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000487",
   "batch_fingerprint": "5fc99cc297ad79458191c2a994e4ac7095039484b4fc61609d22ed3aa911f5ae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000487-0000-7052ab219a568e23.parquet",
-      "sha256": "7052ab219a568e23513749ea1120ac8959c146ed0bd5e25724d0a6db07982c3d",
-      "bytes": 712273,
-      "rows": 36,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10b4c627-a7fe-517c-8822-9ee5343556fa",
     "numina:4f36b06d-7c54-57d0-8b6f-5100d0474c05",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002437.lean\",\"a49590e002a289df7f4635e967f3b346a5cf5b33250c00e9906f68ecba127b3a\",0,\"number_theory_606126\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002438.lean\",\"776f8ccc46f7ab9f0e31187da4b1a008aa3342b3b41bc4e19958e33f4824e259\",6,\"number_theory_606152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002439.lean\",\"9ead915509b726f119c85cf4fd65cdf68dda0aa4398b568e0b27ead5bdb80938\",0,\"number_theory_606153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 712273,
+      "path": "data/train/ped/numina-000487-0000-7052ab219a568e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "7052ab219a568e23513749ea1120ac8959c146ed0bd5e25724d0a6db07982c3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000488.json b/manifests/batches/numina/000488.json
index 652d8fd64f810437bc90cc514fed007a5be92f7e..b781d6fc7a1d5d949661cdde19b505944fdf9a7e 100644
--- a/manifests/batches/numina/000488.json
+++ b/manifests/batches/numina/000488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000488",
   "batch_fingerprint": "491726c9181807cd454c86d3b7614f81184c7b0609f0834f546a984308ba607d",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000488-0000-c950f596e2bd8980.parquet",
-      "sha256": "c950f596e2bd89804ac059fcf34fae66d8716ca945c01940f379cda8a5846c47",
-      "bytes": 680432,
-      "rows": 44,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/train/numina-000488-0001-e1dcc765dfbbd2ac.parquet",
-      "sha256": "e1dcc765dfbbd2ac29d8c9a6fff69b7a0a0d5a1228e8676e7b5a3391239e1e35",
-      "bytes": 137343,
-      "rows": 12,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/internal_test/numina-000488-0000-696e847a6cab7c2a.parquet",
-      "sha256": "696e847a6cab7c2a038af6ad821925667212b9cd37232e39aceefec1b7b06cc3",
-      "bytes": 44845,
-      "rows": 4,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6c726acd-7c5f-56e3-8c41-96274f3501a1",
     "numina:88d0b1f8-7155-52e5-b2eb-51d1e93dbc3e",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002442.lean\",\"addb5bb09a6f8fd4c9fd649a6ec49d8e27351d54df479848914568190e85daac\",1,\"number_theory_606173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002443.lean\",\"9ff13a930bb1d1cf0caf10ed70af6118e750803145c64d0ecf59d97629e46c0b\",0,\"algebra_606203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002444.lean\",\"e861e8bc73d94741f95dfd22c87b3d737528f78521f18805ec1e03bad9cf2bd4\",0,\"number_theory_606243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 680432,
+      "path": "data/train/p65/numina-000488-0000-c950f596e2bd8980.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "c950f596e2bd89804ac059fcf34fae66d8716ca945c01940f379cda8a5846c47"
+    },
+    {
+      "bytes": 137343,
+      "path": "data/train/p65/numina-000488-0001-e1dcc765dfbbd2ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e1dcc765dfbbd2ac29d8c9a6fff69b7a0a0d5a1228e8676e7b5a3391239e1e35"
+    },
+    {
+      "bytes": 44845,
+      "path": "data/internal_test/p65/numina-000488-0000-696e847a6cab7c2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "696e847a6cab7c2a038af6ad821925667212b9cd37232e39aceefec1b7b06cc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000489.json b/manifests/batches/numina/000489.json
index 4d53cc575664b014a70be5fbb41e8b3e9b9d24a0..8fa9ce88eaf7512fc04ba96a4d79ebeffc5ce846 100644
--- a/manifests/batches/numina/000489.json
+++ b/manifests/batches/numina/000489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000489",
   "batch_fingerprint": "abf1b2fed5e814de74e4639e231d7af6ed28b4cad8662d2a393412e76991ac1b",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000489-0000-9a97783c5caf129b.parquet",
-      "sha256": "9a97783c5caf129bc5e9cf8d5e2594b7592cb751cac49c80641dc6cc18f9cc00",
-      "bytes": 470719,
-      "rows": 55,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/train/numina-000489-0001-927cb093a1149fb2.parquet",
-      "sha256": "927cb093a1149fb2f24479e12f362755f554fab1d6a89a3e60a61be376b2ff5a",
-      "bytes": 537041,
-      "rows": 43,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/internal_test/numina-000489-0000-ee7eda0a3bb21940.parquet",
-      "sha256": "ee7eda0a3bb21940a56f2da02adc7771b4e042078d6a79a209522dafde767794",
-      "bytes": 142449,
-      "rows": 16,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:218b4183-bc2e-5b73-af9e-adcca502cfc8",
     "numina:40ed6a3f-2c4e-5779-976c-41b2b8f49301",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002447.lean\",\"7626cb455d543ffa79235d3ec3a9d92e4a9af38b2da202d8154abdb692d91f2e\",0,\"inequalities_606309\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002448.lean\",\"30e7b73ad18d7cb84cc30ac17ee59646fecfac58365134b01e88df6706cb571f\",0,\"number_theory_606313\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002449.lean\",\"94a0db934d21c2892550007fcc32941a54215d4caaa55f600a8ef18804d62dd0\",0,\"combinatorics_606324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470719,
+      "path": "data/train/pfd/numina-000489-0000-9a97783c5caf129b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "9a97783c5caf129bc5e9cf8d5e2594b7592cb751cac49c80641dc6cc18f9cc00"
+    },
+    {
+      "bytes": 537041,
+      "path": "data/train/pfd/numina-000489-0001-927cb093a1149fb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "927cb093a1149fb2f24479e12f362755f554fab1d6a89a3e60a61be376b2ff5a"
+    },
+    {
+      "bytes": 142449,
+      "path": "data/internal_test/pfd/numina-000489-0000-ee7eda0a3bb21940.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ee7eda0a3bb21940a56f2da02adc7771b4e042078d6a79a209522dafde767794"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000490.json b/manifests/batches/numina/000490.json
index 58b67e09668d20f802b21f74b39511b3aa7e76de..bab2605971176853b5a40454ae263f63b1aaa855 100644
--- a/manifests/batches/numina/000490.json
+++ b/manifests/batches/numina/000490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000490",
   "batch_fingerprint": "c6879bf53ecaaefb98e4b147fde2e34059d9847b8f09a98cad390c72232d378e",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000490-0000-a790a45d12c78fcd.parquet",
-      "sha256": "a790a45d12c78fcd3a401858db854a9df4a0e1b59d0f0d596f0bc2e2a863266c",
-      "bytes": 427417,
-      "rows": 11,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/train/numina-000490-0001-05885a9968e689c1.parquet",
-      "sha256": "05885a9968e689c196d85de74d30cb0d42ccfbb21d3f29af9cab70687da4cef5",
-      "bytes": 412973,
-      "rows": 22,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/dev/numina-000490-0000-24b79aca5941e3ea.parquet",
-      "sha256": "24b79aca5941e3ea6c96eeb6f21c3d3cb3a5f264a6285306924641ca4f01d56a",
-      "bytes": 77041,
-      "rows": 4,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12919dcd-8d50-5d19-88e1-23c388c127ef",
     "numina:67c7a472-dfa5-5c5b-ba9f-fd065e3b0768",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002452.lean\",\"1ef9dbe6e906143cb6762fc2d135a0ce9b3ceb6becf8a43d0a63cbc25fb28053\",0,\"algebra_606348\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002453.lean\",\"20a2ce85674124ef2c0effe34af33dd2cbea10b561e2708639febe7580c24f3a\",0,\"algebra_606349\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002454.lean\",\"5f3f1989fc6d15ae53948ced4f59bc524190bfdc405e310999147a1b23c90d8b\",0,\"geometry_606364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 427417,
+      "path": "data/train/p44/numina-000490-0000-a790a45d12c78fcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a790a45d12c78fcd3a401858db854a9df4a0e1b59d0f0d596f0bc2e2a863266c"
+    },
+    {
+      "bytes": 412973,
+      "path": "data/train/p44/numina-000490-0001-05885a9968e689c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "05885a9968e689c196d85de74d30cb0d42ccfbb21d3f29af9cab70687da4cef5"
+    },
+    {
+      "bytes": 77041,
+      "path": "data/dev/p44/numina-000490-0000-24b79aca5941e3ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "24b79aca5941e3ea6c96eeb6f21c3d3cb3a5f264a6285306924641ca4f01d56a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000491.json b/manifests/batches/numina/000491.json
index f50aa261b60de1073815877d257977b216b4ef86..c91c616659f75993953c30dc81dd45eee3b22200 100644
--- a/manifests/batches/numina/000491.json
+++ b/manifests/batches/numina/000491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000491",
   "batch_fingerprint": "fff0eb61f8d958b84cc6b6721886edcdeabac5f4ce236d2b9a8b684f3fa9f25f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000491-0000-3c18663d3981d4ea.parquet",
-      "sha256": "3c18663d3981d4ea04943b9ae7887dbf4c347512c3cc6de8431594f2a9ff828a",
-      "bytes": 649514,
-      "rows": 34,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/dev/numina-000491-0000-af56e8af9a8937cd.parquet",
-      "sha256": "af56e8af9a8937cdb6cd213bdc5759bc2bced65d13787b38d59bccb8991f41e6",
-      "bytes": 157061,
-      "rows": 5,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fae4fb0-81d0-5185-8b76-70c08d1a7f03",
     "numina:45f381bc-5685-57ea-8d89-2b7ff2925a36",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002457.lean\",\"dc165bcb70782252090df37a0587a839cfae6b408f41d2c888266516d22592e9\",0,\"algebra_606376\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002458.lean\",\"770371f0318cd164450ef2501e035d8c35744e1fd4b8f66726663ce4b0fa1942\",0,\"inequalities_606386\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002459.lean\",\"cd8d2785bf5d345c09724f10a0443423d067df84a13c326364977a61f8da64e6\",1,\"number_theory_606393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649514,
+      "path": "data/train/p48/numina-000491-0000-3c18663d3981d4ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "3c18663d3981d4ea04943b9ae7887dbf4c347512c3cc6de8431594f2a9ff828a"
+    },
+    {
+      "bytes": 157061,
+      "path": "data/dev/p48/numina-000491-0000-af56e8af9a8937cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "af56e8af9a8937cdb6cd213bdc5759bc2bced65d13787b38d59bccb8991f41e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000492.json b/manifests/batches/numina/000492.json
index 2bf3c3b923f393cbf1534f3398b516dc42b7b723..8dcfd4c54dfec528fad86896bfa191122e776d17 100644
--- a/manifests/batches/numina/000492.json
+++ b/manifests/batches/numina/000492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000492",
   "batch_fingerprint": "f238f9efe5b5e7abbe701bc039b42f75210ec63d73411836712184d6b4087b5d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000492-0000-e32231801323e49d.parquet",
-      "sha256": "e32231801323e49deb3364a0272bd64e747ebc0edc883f1693e5f05ebd5e1a3e",
-      "bytes": 505105,
-      "rows": 50,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/train/numina-000492-0001-fb6a27ff4fd2d1f2.parquet",
-      "sha256": "fb6a27ff4fd2d1f29f600c25e55acf52eea2e7b781cb42e022727170271ec45f",
-      "bytes": 260799,
-      "rows": 19,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:293d8275-a3b7-56e6-8a79-708458aeba3a",
     "numina:2ce20b58-70b3-5744-a593-c218e443a610",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002462.lean\",\"e82ca0e2599c331aa4314a0f2a08354957764772459b259b45359b5a71988fd2\",0,\"algebra_607117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002463.lean\",\"fa4d38b96f2e13b16c7879f55ae09101d827138d03e2753f085b91e9288cdffc\",0,\"algebra_607118\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002464.lean\",\"b9a8cb344526653df5efe10049eddb59dc81433c3227598274d9181246b08254\",0,\"number_theory_607142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 505105,
+      "path": "data/train/p7d/numina-000492-0000-e32231801323e49d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "e32231801323e49deb3364a0272bd64e747ebc0edc883f1693e5f05ebd5e1a3e"
+    },
+    {
+      "bytes": 260799,
+      "path": "data/train/p7d/numina-000492-0001-fb6a27ff4fd2d1f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fb6a27ff4fd2d1f29f600c25e55acf52eea2e7b781cb42e022727170271ec45f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000493.json b/manifests/batches/numina/000493.json
index 1fcca6d1e17d8bd875f7c4441c0d147fa01270ab..c10a1af1de25347d3cbed17cc6367b128997ae6b 100644
--- a/manifests/batches/numina/000493.json
+++ b/manifests/batches/numina/000493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000493",
   "batch_fingerprint": "991d285254fdd85ac81ff292fc9adf7d3d29ecbcdf8d1ad2e53f4eb81b10bb55",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000493-0000-e95e3e1d8ad46b02.parquet",
-      "sha256": "e95e3e1d8ad46b0242fe19387597afe1c85745b633837d9c1207de688a785c14",
-      "bytes": 286234,
-      "rows": 34,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4fe2819c-1a4a-5142-960f-1a3b9bb52d8a",
     "numina:7234cdb9-3c7a-5d34-b1d8-be78b6306307",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002467.lean\",\"819003131946fd767d5395e53b9bd11b9df8526c1c967f7559908522783edbf0\",0,\"number_theory_607191\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002468.lean\",\"9f4a0410d2792d32ce5f3f84c6afed8edcc72306b54a94833c49c6d57fc6457d\",4,\"inequalities_607194\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002469.lean\",\"0524211038f566546ddc45ecedeff4724ad257d2ad7a0e6cafef7235e9ae71d4\",0,\"number_theory_607208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286234,
+      "path": "data/train/p4d/numina-000493-0000-e95e3e1d8ad46b02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e95e3e1d8ad46b0242fe19387597afe1c85745b633837d9c1207de688a785c14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000494.json b/manifests/batches/numina/000494.json
index 78606195bd28dc8dd24e7d9355c20df3705792b4..ab80ae9d3158b39f3a83b27833bd367f5f7190da 100644
--- a/manifests/batches/numina/000494.json
+++ b/manifests/batches/numina/000494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000494",
   "batch_fingerprint": "34c20353fe47c7fb522bb5d5a80d770ca2225e417961a29ed5b0fa0807384e3d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000494-0000-03ca81aa678b0dd4.parquet",
-      "sha256": "03ca81aa678b0dd444a420945d0b221b31b79927065129467aba1ea0028b3bac",
-      "bytes": 298225,
-      "rows": 21,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    },
-    {
-      "path": "data/internal_test/numina-000494-0000-2fabc4d95dc0603b.parquet",
-      "sha256": "2fabc4d95dc0603b606fae3e55aa6ac5a9c7a1c8a9494e2caca49e3699d67328",
-      "bytes": 148643,
-      "rows": 20,
-      "revision": "9f75843fae2aa2daed98ced6726ad3592ac41101"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1835e260-8acf-57c9-b2b5-1fe2786e41b7",
     "numina:2fcbb172-c1b6-59a9-85a3-7b060d19f112",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002472.lean\",\"62f6a06367a09b1b0e6d799d2c0c530981a68e974a861ef8f8b17f842b3ff899\",0,\"number_theory_607218\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002473.lean\",\"f8111fab0b03378f29a91b289f61b0be97805c7b01f8e43cf3c5bfecb192e8ba\",0,\"algebra_607235\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002474.lean\",\"09bead1dbbc324bee43a93beff55e51a45a2e53ca5420fcd88cbcfc9508b5f48\",0,\"number_theory_607238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298225,
+      "path": "data/train/pa2/numina-000494-0000-03ca81aa678b0dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "03ca81aa678b0dd444a420945d0b221b31b79927065129467aba1ea0028b3bac"
+    },
+    {
+      "bytes": 148643,
+      "path": "data/internal_test/pa2/numina-000494-0000-2fabc4d95dc0603b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2fabc4d95dc0603b606fae3e55aa6ac5a9c7a1c8a9494e2caca49e3699d67328"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000495.json b/manifests/batches/numina/000495.json
index a3aed6a9acff81fc029f59557db648b56860f2ee..35e4283a090aa8436af5a468b0849744a87661b0 100644
--- a/manifests/batches/numina/000495.json
+++ b/manifests/batches/numina/000495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000495",
   "batch_fingerprint": "d7bed28cd01b979398a6afdb789da9038c4f73d7396592595970863917e4fbc3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000495-0000-2a6f641dfd71f949.parquet",
-      "sha256": "2a6f641dfd71f9493d980865d943d518ab4e93370f60f6593019aa10c38a5d7d",
-      "bytes": 372998,
-      "rows": 23,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/internal_test/numina-000495-0000-64b50fc7f9c72b02.parquet",
-      "sha256": "64b50fc7f9c72b02dc3a2bdc4e1a1cd3a8d166fa20a86e3ab839b0c8d1a1a477",
-      "bytes": 91822,
-      "rows": 5,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d0e47d3-1d74-52fb-a32c-91430059cdf5",
     "numina:a270ee65-162f-51dc-8143-e973161d1972",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002477.lean\",\"9afd5f1f9d0de929f7701b1ef2c8b8092447a4c85eb93cb5fe9a89d32dc7d18e\",0,\"algebra_607253\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002478.lean\",\"8362e8dac1a4f2aa3ddca37223e86afbee82f4e0f880750a3a4199ae832c4ad4\",0,\"algebra_607260\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002479.lean\",\"b8e65677e6e1881a4de253cf6353c71982b1169f81454416e28ac152963f10d6\",0,\"algebra_607261\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372998,
+      "path": "data/train/p02/numina-000495-0000-2a6f641dfd71f949.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2a6f641dfd71f9493d980865d943d518ab4e93370f60f6593019aa10c38a5d7d"
+    },
+    {
+      "bytes": 91822,
+      "path": "data/internal_test/p02/numina-000495-0000-64b50fc7f9c72b02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "64b50fc7f9c72b02dc3a2bdc4e1a1cd3a8d166fa20a86e3ab839b0c8d1a1a477"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000496.json b/manifests/batches/numina/000496.json
index 11e32e75c8a6f1bbd6468a9cf044490525c53c94..aacc0fdb2d5c31f94b4e6b16dc256a72eb85ff83 100644
--- a/manifests/batches/numina/000496.json
+++ b/manifests/batches/numina/000496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000496",
   "batch_fingerprint": "9e5f18ada419c62ded373233a8d7163e60a657906dc625527a3dad60fe5fec8b",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000496-0000-3eb6167b82947554.parquet",
-      "sha256": "3eb6167b829475547c436e1de59296ddf902aa9a449009d26f69d4348c316f76",
-      "bytes": 517872,
-      "rows": 41,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:c0097a66-3f26-55d0-93ce-76353452f352",
     "numina:c7b17c37-ee82-5e5d-8a7b-b1c7b57f9a72",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002482.lean\",\"8d6a03ebf9d8ffc46227301648ad24f6001f26351ff2d353a3a81d6b30a31c2c\",0,\"number_theory_607284\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002483.lean\",\"a5ca910fcbb144bce602f4739d762b28ddc593317b0d4dcf6495297d6bc7c61f\",0,\"number_theory_607288\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002484.lean\",\"8ad4c92dc1ee719bfb5016081ee787125f65fe0557363f32c1e193b22b560847\",0,\"number_theory_607290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517872,
+      "path": "data/train/p60/numina-000496-0000-3eb6167b82947554.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "3eb6167b829475547c436e1de59296ddf902aa9a449009d26f69d4348c316f76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000497.json b/manifests/batches/numina/000497.json
index dfe7669e9f926ce5caa43cb167e1acc4d9d637ce..3f47e87b7913f68e6ca82c0ae4b118925a0c514b 100644
--- a/manifests/batches/numina/000497.json
+++ b/manifests/batches/numina/000497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000497",
   "batch_fingerprint": "574c3a5559740a9d8d3a5b93f3e4cac10837c4070aece89f9b2ed0afe64b12ea",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000497-0000-0181a25178f482f2.parquet",
-      "sha256": "0181a25178f482f2aa1247ea7df8c032e5da423352a4cae5a06420f51a0e7716",
-      "bytes": 641407,
-      "rows": 20,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/train/numina-000497-0001-2f3319b9c9a60bf2.parquet",
-      "sha256": "2f3319b9c9a60bf25762ff1526a6851ce8ec31fd99db33aa95107cb1b748eb15",
-      "bytes": 64262,
-      "rows": 9,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/internal_test/numina-000497-0000-a5fba9ddb48c3218.parquet",
-      "sha256": "a5fba9ddb48c3218beec3c8256deabcc1fdfc204e77bd4122a945a2ddd7505b7",
-      "bytes": 220161,
-      "rows": 32,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ae854da-c2d2-51ec-b3ff-feb989691253",
     "numina:5e2d5e79-3493-5fca-bfe9-fff91483320b",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002487.lean\",\"9fc735508d760e75341512d8589c1dec96e53c71f78cb7860f1a0b28f7e3d9de\",0,\"number_theory_607322\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002488.lean\",\"62c369cd2b0231ed413c52b3afe72329884e9f1ac6ce34d23687910b3c956027\",0,\"number_theory_607325\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002489.lean\",\"29a3bccf72409ed1007ccdd46bcf8c479f17d7cacdcd2ee2b578d30aff219145\",0,\"inequalities_607364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 641407,
+      "path": "data/train/p3d/numina-000497-0000-0181a25178f482f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0181a25178f482f2aa1247ea7df8c032e5da423352a4cae5a06420f51a0e7716"
+    },
+    {
+      "bytes": 64262,
+      "path": "data/train/p3d/numina-000497-0001-2f3319b9c9a60bf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2f3319b9c9a60bf25762ff1526a6851ce8ec31fd99db33aa95107cb1b748eb15"
+    },
+    {
+      "bytes": 220161,
+      "path": "data/internal_test/p3d/numina-000497-0000-a5fba9ddb48c3218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a5fba9ddb48c3218beec3c8256deabcc1fdfc204e77bd4122a945a2ddd7505b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000498.json b/manifests/batches/numina/000498.json
index 48b8114e9aadd48e523874b4d75f72aa7f3a25f8..b61cc7da1d1cd1605b4df57c97fe81946cb701ae 100644
--- a/manifests/batches/numina/000498.json
+++ b/manifests/batches/numina/000498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000498",
   "batch_fingerprint": "f5a5cbc2533b80ef30e58dde6b6e14021818bdc48ceca72c4c033480c76bd3e5",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000498-0000-d939ef09d025dbc9.parquet",
-      "sha256": "d939ef09d025dbc9c676595a3737568c1348297dbebc76265c404fcd339d0533",
-      "bytes": 251880,
-      "rows": 17,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/dev/numina-000498-0000-78f7e0af423de87d.parquet",
-      "sha256": "78f7e0af423de87dbc299224a010970635c23c7910a02c1e6ba295c02baee2a4",
-      "bytes": 109246,
-      "rows": 12,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    },
-    {
-      "path": "data/internal_test/numina-000498-0000-b01f724332975486.parquet",
-      "sha256": "b01f724332975486a58925ff095c7cc2226e21c395d3e668d891f47b1366ec70",
-      "bytes": 118719,
-      "rows": 18,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:003fa970-1edf-5f1a-afb9-77e784a15b71",
     "numina:a684a277-4837-53b7-87f7-6670a2bfaee9",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002492.lean\",\"2654def70778842775630c912c8ca7efc276c5998307a58f4b8e5969ea5d6726\",0,\"number_theory_607380\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002493.lean\",\"76d696ff75ca3081313f51e42025b6b876731e094d359b3e5662c6427c429100\",0,\"number_theory_607388\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002494.lean\",\"d9d66ce7a0315dff27a615e738264c8c1bd96924c2d77815329781fb733bb684\",0,\"algebra_607410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251880,
+      "path": "data/train/pb2/numina-000498-0000-d939ef09d025dbc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d939ef09d025dbc9c676595a3737568c1348297dbebc76265c404fcd339d0533"
+    },
+    {
+      "bytes": 109246,
+      "path": "data/dev/pb2/numina-000498-0000-78f7e0af423de87d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "78f7e0af423de87dbc299224a010970635c23c7910a02c1e6ba295c02baee2a4"
+    },
+    {
+      "bytes": 118719,
+      "path": "data/internal_test/pb2/numina-000498-0000-b01f724332975486.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b01f724332975486a58925ff095c7cc2226e21c395d3e668d891f47b1366ec70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000499.json b/manifests/batches/numina/000499.json
index 33cc6d5a2cfff1dcf261235dc4763df04eb33458..39e71ef2e5adb724d8b3606a7ddc5624d4ecb49f 100644
--- a/manifests/batches/numina/000499.json
+++ b/manifests/batches/numina/000499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000499",
   "batch_fingerprint": "b6d3bc3b04d25500d63bb4201d53950b17a8dc043be8c15e0527336b5e30c588",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000499-0000-9a76fef5cc5ce8f0.parquet",
-      "sha256": "9a76fef5cc5ce8f0843c91b0e0bcd807c16174634d38c85cafc7ffbfb6257adc",
-      "bytes": 217799,
-      "rows": 24,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/internal_test/numina-000499-0000-90a09d1c3545f7da.parquet",
-      "sha256": "90a09d1c3545f7da2b960e2f2b0266408fdb6324aad8dde1c1ac0a724134a931",
-      "bytes": 119908,
-      "rows": 20,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14107eff-01d1-555f-ae63-f69e594e3988",
     "numina:c7f735da-58c2-580c-b598-d5091ed08d09",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002496.lean\",\"2d9cd5f38cd33631131fe5b3d7b765f6fb90a4810b1f9aebc4ee2877665ac185\",0,\"number_theory_607420\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002497.lean\",\"f34e41be30246d279088c3a893bf5240bd4c08a73703f0b5d30cc7bb392cc3fe\",0,\"number_theory_607430\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002499.lean\",\"503a56fd5f1c0a527a163d1ce75e1fb86fbb6e3a277b04d01bd13b4d0086d8e1\",0,\"logic_and_puzzles_607451\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217799,
+      "path": "data/train/p40/numina-000499-0000-9a76fef5cc5ce8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9a76fef5cc5ce8f0843c91b0e0bcd807c16174634d38c85cafc7ffbfb6257adc"
+    },
+    {
+      "bytes": 119908,
+      "path": "data/internal_test/p40/numina-000499-0000-90a09d1c3545f7da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "90a09d1c3545f7da2b960e2f2b0266408fdb6324aad8dde1c1ac0a724134a931"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000500.json b/manifests/batches/numina/000500.json
index b7bb5d92649cdf7579435d43726b27c1b1ff105f..6701308d0111941b1a11dc6a760e8d53143a0ed9 100644
--- a/manifests/batches/numina/000500.json
+++ b/manifests/batches/numina/000500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000500",
   "batch_fingerprint": "4e4711ce02b6fdf443d54bee72753f0924c487f1a1f31a1392968a5548c2a0c0",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3148926d-e2d0-5606-9d88-7dbe263db6eb",
+    "numina:40f22942-0fb9-5292-99d2-6f39519c757f",
+    "numina:54295987-cb3e-5efc-969f-ae3d977f6021",
+    "numina:c55e9991-934c-59bb-b93c-54a51f54f13a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002500.lean\",\"3986e9c305997999f2c460070743c6f48a7b8d2c852ef3455a9349d2d3749c96\",1,\"logic_and_puzzles_2012345\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002501.lean\",\"8a7a1ff95c4626a32325d7c9cec87c8196fcb79b750a5e3df18a0ef71cff5f40\",0,\"number_theory_607457\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002502.lean\",\"462f67f01b9f5ccc1139d8dbc3fd348a09369b53877efb72b5f82db55c6dc73c\",0,\"number_theory_108637\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002504.lean\",\"5fe0ff8864a01fdd257de3b57498419999bf5818131d24997d1b181e80d43228\",0,\"algebra_607471\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000500-0000-018c471a84340ce9.parquet",
-      "sha256": "018c471a84340ce9b267586912e8edcdcf049b154f2a0736895429eabe2d9e12",
       "bytes": 863919,
+      "path": "data/train/p2a/numina-000500-0000-018c471a84340ce9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
+      "sha256": "018c471a84340ce9b267586912e8edcdcf049b154f2a0736895429eabe2d9e12"
     },
     {
-      "path": "data/train/numina-000500-0001-b02df2e9ecc2c8f6.parquet",
-      "sha256": "b02df2e9ecc2c8f66d53b0d316f6d724ae5e53b451352dc589a9c80c708a6eec",
       "bytes": 119132,
+      "path": "data/train/p2a/numina-000500-0001-b02df2e9ecc2c8f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
+      "sha256": "b02df2e9ecc2c8f66d53b0d316f6d724ae5e53b451352dc589a9c80c708a6eec"
     },
     {
-      "path": "data/internal_test/numina-000500-0000-516f271ea1a4ea71.parquet",
-      "sha256": "516f271ea1a4ea713abdb48abc7c31cf2744cc7212942d5222114f4ea2ec4d4b",
       "bytes": 109969,
+      "path": "data/internal_test/p2a/numina-000500-0000-516f271ea1a4ea71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
+      "sha256": "516f271ea1a4ea713abdb48abc7c31cf2744cc7212942d5222114f4ea2ec4d4b"
     }
-  ],
-  "proof_ids": [
-    "numina:3148926d-e2d0-5606-9d88-7dbe263db6eb",
-    "numina:40f22942-0fb9-5292-99d2-6f39519c757f",
-    "numina:54295987-cb3e-5efc-969f-ae3d977f6021",
-    "numina:c55e9991-934c-59bb-b93c-54a51f54f13a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002500.lean\",\"3986e9c305997999f2c460070743c6f48a7b8d2c852ef3455a9349d2d3749c96\",1,\"logic_and_puzzles_2012345\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002501.lean\",\"8a7a1ff95c4626a32325d7c9cec87c8196fcb79b750a5e3df18a0ef71cff5f40\",0,\"number_theory_607457\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002502.lean\",\"462f67f01b9f5ccc1139d8dbc3fd348a09369b53877efb72b5f82db55c6dc73c\",0,\"number_theory_108637\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002504.lean\",\"5fe0ff8864a01fdd257de3b57498419999bf5818131d24997d1b181e80d43228\",0,\"algebra_607471\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000501.json b/manifests/batches/numina/000501.json
index 6bbb1ebf7cc8468b0ec6c6e9ffbd811de24d3944..dfeac9b07156ec3918eb8213a4a858d4bfb17cf0 100644
--- a/manifests/batches/numina/000501.json
+++ b/manifests/batches/numina/000501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000501",
   "batch_fingerprint": "f2e85608337cb9dde1b2b4ff5158b9e6e484e2bcaaa3473bdfcab815712df0dc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000501-0000-7e895fa93e46215b.parquet",
-      "sha256": "7e895fa93e46215b44efedffa1a06733c988fc6e7c59a8a29f6cf80cda68ab19",
-      "bytes": 602826,
-      "rows": 58,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0043e66b-a3e2-503c-ac8d-d7303c7b0d89",
     "numina:aafbb671-d192-589e-b265-d059b8c60e05",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002507.lean\",\"1d6a569226aadf942b5b3ebe7a96ebf30792d149e0384da2a945aa321c18babe\",0,\"algebra_607512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002508.lean\",\"30ba4c4194eb698ae8697d3d1131d57b276fbbce9cc9c6bd4060602defc57929\",0,\"number_theory_607518\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002509.lean\",\"2a2f6244b00fd967fc82cc6adbc0c42c4faa988f078cdae02467c15a8c865438\",2,\"number_theory_607539\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 602826,
+      "path": "data/train/p70/numina-000501-0000-7e895fa93e46215b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "7e895fa93e46215b44efedffa1a06733c988fc6e7c59a8a29f6cf80cda68ab19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000502.json b/manifests/batches/numina/000502.json
index 023a18fd866fd5f53a9eca3fcfc72f7243936ff8..6087ce5b4249bc96c9e1923447fc93532a1b5119 100644
--- a/manifests/batches/numina/000502.json
+++ b/manifests/batches/numina/000502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000502",
   "batch_fingerprint": "32d792e2f7524e2249552394d2d9351c594ab68da9ddc0f2683404fe0437b7bd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000502-0000-2db4042cae2d4be0.parquet",
-      "sha256": "2db4042cae2d4be04876f7b693796ec8d6c1edd9107e1bc9fec9d3703550a3f6",
-      "bytes": 375525,
-      "rows": 22,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b44b2fb-d39a-5227-80e6-15ebd093d616",
     "numina:22984ace-1c86-55fb-a894-ef6566c9c718",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002512.lean\",\"7e006a324452524f5db5595485595b1612a73fc480955d354681212b2ca852a8\",0,\"algebra_607573\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002513.lean\",\"457298bb3c1fd6f55d7a044141796ee32126c7b309eab5cae99f98cb447bf0db\",0,\"inequalities_607575\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002514.lean\",\"a6085f55429a556fa2bc9a50fe1717145e13e8c852a6d960b22d7c1018038d4c\",0,\"algebra_607592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375525,
+      "path": "data/train/p65/numina-000502-0000-2db4042cae2d4be0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2db4042cae2d4be04876f7b693796ec8d6c1edd9107e1bc9fec9d3703550a3f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000503.json b/manifests/batches/numina/000503.json
index 7f0471b29dac954e5a9dc997d5ce09841fdff852..15caf794b0b414bd76dc40419bf717ec7da6a39e 100644
--- a/manifests/batches/numina/000503.json
+++ b/manifests/batches/numina/000503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000503",
   "batch_fingerprint": "da6eecacff0634bd5d5ee215f43281a7459affb237d261a45c573d431c0fc43e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000503-0000-3dfd0aca809bd1ff.parquet",
-      "sha256": "3dfd0aca809bd1ffb0d0558354da18547a56c92543f692d3a9b9b29ef6489205",
-      "bytes": 436621,
-      "rows": 45,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/train/numina-000503-0001-a127068dc12266ee.parquet",
-      "sha256": "a127068dc12266ee717d342d2c18df3d0bbdf74d20c9f6c57d9676f6324e5335",
-      "bytes": 335983,
-      "rows": 7,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2cdc2e8a-a498-57aa-8158-657061821486",
     "numina:2f7abe22-5b5e-58c5-bd69-0cb41194da82",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002517.lean\",\"d53815178b806a768ddb8b53be6dea4a3ed0e2eaad6b67b2b0621d887e7550ef\",0,\"number_theory_607608\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002518.lean\",\"7a43478a8c12fb839f7a0d147c94bfbdb5fbba141a4eb8b3900752ea473f12e0\",0,\"number_theory_607639\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002519.lean\",\"c877c7b989c68d88ad4045e1d1411ca22cd2bb82610a080e9aa92c9bc4d669b3\",2,\"number_theory_607647\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436621,
+      "path": "data/train/p02/numina-000503-0000-3dfd0aca809bd1ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "3dfd0aca809bd1ffb0d0558354da18547a56c92543f692d3a9b9b29ef6489205"
+    },
+    {
+      "bytes": 335983,
+      "path": "data/train/p02/numina-000503-0001-a127068dc12266ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a127068dc12266ee717d342d2c18df3d0bbdf74d20c9f6c57d9676f6324e5335"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000504.json b/manifests/batches/numina/000504.json
index 5c35d794f2de10aa8731c90fc7f3a8e1d15ab5c3..4c3eff117d51e8cfa53a309e9e556e7757b36b07 100644
--- a/manifests/batches/numina/000504.json
+++ b/manifests/batches/numina/000504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000504",
   "batch_fingerprint": "18aacb869a74564f6bd99009bacda7bcd05c94ef3d18868b3bb0384172b3836a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000504-0000-b43c4e645271a9c3.parquet",
-      "sha256": "b43c4e645271a9c3cd3b6c642c6ad02839c60d1202b26aea0c0674058133aa1a",
-      "bytes": 432718,
-      "rows": 32,
-      "revision": "0bab5004d9a9e6419ea24010b0bc3a4950e48179"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3487b01e-08da-5114-a811-21acc6d3d2de",
     "numina:63b5ea29-ef36-5e47-8efc-e3f1f5571289",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002522.lean\",\"2f502b3f7c2cb993571c40e34abe27120111990b329cc6a185370aeddeeb5494\",0,\"algebra_607709\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002523.lean\",\"a386fb4e11b012f1496d2223cb7bd8a6102059a366ed1570eab4f02ff7a61359\",0,\"number_theory_607710\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002524.lean\",\"c9c6f86e7d777810574b32ff2672113cf58c326fbd58657e44f831131e2df58c\",0,\"number_theory_607783\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432718,
+      "path": "data/train/pd6/numina-000504-0000-b43c4e645271a9c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "b43c4e645271a9c3cd3b6c642c6ad02839c60d1202b26aea0c0674058133aa1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000505.json b/manifests/batches/numina/000505.json
index f47bd1922a9d352d96b1ebf6d751c4e21d5b9675..7641440b03261e82aebcf34b730d29adb4b92a35 100644
--- a/manifests/batches/numina/000505.json
+++ b/manifests/batches/numina/000505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000505",
   "batch_fingerprint": "4c63a9bbc7f7cc876369f4576138c19afc2dc1326c7cf65d9b53733893706242",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000505-0000-cfb8a8d11b25072a.parquet",
-      "sha256": "cfb8a8d11b25072a6a4010e55d4937d11a6519fb982d2afeb2cc5161aab02c0e",
-      "bytes": 546959,
-      "rows": 26,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/train/numina-000505-0001-3403c34ad51f552d.parquet",
-      "sha256": "3403c34ad51f552d4f256a5f5374e6e628889e1501bfe6e3a4f5e091c838f392",
-      "bytes": 79767,
-      "rows": 1,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07fa5dad-9da4-5050-a391-5dc62457b970",
     "numina:117d5a26-0706-56d8-ba1f-eb94c606684a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002527.lean\",\"828f330c8f748792fc9d861a6f445c65a6390ed0129e2204644430537684eeb4\",0,\"inequalities_607799\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002528.lean\",\"b9817df60deb1e810254f35ef99291adc65525c2f59df3b37bd896851e3d64b6\",0,\"algebra_607801\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002529.lean\",\"ece7bcb806e72dc2024c052e8ac020bc8699e8c1909391cae11f3e463760376a\",0,\"algebra_607810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 546959,
+      "path": "data/train/pb5/numina-000505-0000-cfb8a8d11b25072a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "cfb8a8d11b25072a6a4010e55d4937d11a6519fb982d2afeb2cc5161aab02c0e"
+    },
+    {
+      "bytes": 79767,
+      "path": "data/train/pb5/numina-000505-0001-3403c34ad51f552d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "3403c34ad51f552d4f256a5f5374e6e628889e1501bfe6e3a4f5e091c838f392"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000506.json b/manifests/batches/numina/000506.json
index 6421ebe0a7cf6c89107fd5b7a7d6ef3fbb205aa7..e2963823c81445d91532fc70e8ed0e954a8307cc 100644
--- a/manifests/batches/numina/000506.json
+++ b/manifests/batches/numina/000506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000506",
   "batch_fingerprint": "f9a01cc283940d1ec4f5fbf70e8167ce9160d4ee7dd9c9e6aa9e4bc43c532e15",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000506-0000-008fd957660d91fd.parquet",
-      "sha256": "008fd957660d91fd353df14f348e8f1a4c0944d7486f2329dfebce93458cf87f",
-      "bytes": 438212,
-      "rows": 14,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/internal_test/numina-000506-0000-041c96460d9830df.parquet",
-      "sha256": "041c96460d9830dfe55fbb814a2e9e08c511453eceec0a8bfe0371dfd56abeff",
-      "bytes": 256387,
-      "rows": 19,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11e1beff-984a-53f4-bd9a-8f7413abf1cb",
     "numina:341c1820-abc2-5be1-91b6-869cbd52188a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002532.lean\",\"c317f3eb46e3edc07af447fdc0185da13eb0b97f1c42c5dcae429ecec4122fbe\",1,\"number_theory_607857\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002533.lean\",\"23c102b462e011e2a6ede25a84697d2fb96bb186733080520b2dca5a2c609e76\",0,\"algebra_607883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002534.lean\",\"23e35d7a79ae90edb27b7794ef9e1ffd3d6a3e33ea2a59c7b3b38ee1837733f8\",0,\"algebra_607909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438212,
+      "path": "data/train/p5d/numina-000506-0000-008fd957660d91fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "008fd957660d91fd353df14f348e8f1a4c0944d7486f2329dfebce93458cf87f"
+    },
+    {
+      "bytes": 256387,
+      "path": "data/internal_test/p5d/numina-000506-0000-041c96460d9830df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "041c96460d9830dfe55fbb814a2e9e08c511453eceec0a8bfe0371dfd56abeff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000507.json b/manifests/batches/numina/000507.json
index cb3bdfc185d80504f67181502d1a9753bd50e882..603e12c3ebde7e40134cdadcc3928c44875590df 100644
--- a/manifests/batches/numina/000507.json
+++ b/manifests/batches/numina/000507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000507",
   "batch_fingerprint": "d015c3e9443197ba560cc3f8fe8739cd2b709caab07075012619c7c5b01be1b3",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:a6416400-1c99-5919-9041-5b6e711b6164",
+    "numina:c9068a50-81af-5efc-a9b6-21053def76c4",
+    "numina:d40aeb1c-9bf8-5d03-ace6-0d9ab57a49ac",
+    "numina:e9fc8e04-cccc-5d55-b00a-51158cdd558e",
+    "numina:edebe7f1-e636-5d56-962d-78ace5d71ca7"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002535.lean\",\"d6eb5aae106bc1c5960d37dd20a8ab00e6f7d4642e54950708ea42b6f7db05be\",0,\"number_theory_607913\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002536.lean\",\"ad24eb6e267709755073882b37bfad30a4da434c949cb94e6f2cf6b7e588c0f8\",0,\"number_theory_8655\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002537.lean\",\"68e446f610f0bda5704e1b223edd886bdf9e2f56af4841fb4a2259a4389bbff6\",0,\"number_theory_607952\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002538.lean\",\"f92289deaf48c0c1c3191052b1ba48ca76222b841f33a4b2d6ec865f10d31017\",0,\"number_theory_607959\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002539.lean\",\"6e199a56325ab0ca4fd739888e0a4a290ca69314a3add2068c4f7c5d78155050\",0,\"combinatorics_607963\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000507-0000-4b5f80cb5d0bfca2.parquet",
-      "sha256": "4b5f80cb5d0bfca2a3442615d7d313794eb2e016c13571a0cbeb631f293b96d0",
       "bytes": 649140,
+      "path": "data/train/p23/numina-000507-0000-4b5f80cb5d0bfca2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 31,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
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     },
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-      "path": "data/train/numina-000507-0001-3bf1c6389f9a0c1e.parquet",
-      "sha256": "3bf1c6389f9a0c1ec87571ade474e90a7c4ba4834875c1206a1fa8a135aea0e2",
       "bytes": 707910,
+      "path": "data/train/p23/numina-000507-0001-3bf1c6389f9a0c1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 45,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "3bf1c6389f9a0c1ec87571ade474e90a7c4ba4834875c1206a1fa8a135aea0e2"
     },
     {
-      "path": "data/train/numina-000507-0002-573f36aaf4580fe0.parquet",
-      "sha256": "573f36aaf4580fe0d5935ea0e0a387f389d753e1694a52347209b89593a23492",
       "bytes": 465333,
+      "path": "data/train/p23/numina-000507-0002-573f36aaf4580fe0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "573f36aaf4580fe0d5935ea0e0a387f389d753e1694a52347209b89593a23492"
     },
     {
-      "path": "data/train/numina-000507-0003-f4bd84eb8d99516c.parquet",
-      "sha256": "f4bd84eb8d99516c7419c243bff28a0b731cc69e088cef2a6f9f5b7e2e638dfa",
       "bytes": 311411,
+      "path": "data/train/p23/numina-000507-0003-f4bd84eb8d99516c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "f4bd84eb8d99516c7419c243bff28a0b731cc69e088cef2a6f9f5b7e2e638dfa"
     }
-  ],
-  "proof_ids": [
-    "numina:a6416400-1c99-5919-9041-5b6e711b6164",
-    "numina:c9068a50-81af-5efc-a9b6-21053def76c4",
-    "numina:d40aeb1c-9bf8-5d03-ace6-0d9ab57a49ac",
-    "numina:e9fc8e04-cccc-5d55-b00a-51158cdd558e",
-    "numina:edebe7f1-e636-5d56-962d-78ace5d71ca7"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002535.lean\",\"d6eb5aae106bc1c5960d37dd20a8ab00e6f7d4642e54950708ea42b6f7db05be\",0,\"number_theory_607913\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002536.lean\",\"ad24eb6e267709755073882b37bfad30a4da434c949cb94e6f2cf6b7e588c0f8\",0,\"number_theory_8655\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002537.lean\",\"68e446f610f0bda5704e1b223edd886bdf9e2f56af4841fb4a2259a4389bbff6\",0,\"number_theory_607952\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002538.lean\",\"f92289deaf48c0c1c3191052b1ba48ca76222b841f33a4b2d6ec865f10d31017\",0,\"number_theory_607959\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002539.lean\",\"6e199a56325ab0ca4fd739888e0a4a290ca69314a3add2068c4f7c5d78155050\",0,\"combinatorics_607963\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000508.json b/manifests/batches/numina/000508.json
index b9a3e5c449e5241466ac6f87fd8a3a3ff1364ba5..3e3740619c16ddc2c2196eca67ea26d2d2ab6c85 100644
--- a/manifests/batches/numina/000508.json
+++ b/manifests/batches/numina/000508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000508",
   "batch_fingerprint": "308c4fcefdd4cdb65aba64ab0741a3395813373be8e3edb0e29c61af0ee0cb00",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000508-0000-f7b5303a161978e6.parquet",
-      "sha256": "f7b5303a161978e6759a28e1bc264252690662254f9f78327dd95ee44fec0e60",
-      "bytes": 602247,
-      "rows": 46,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000508-0000-5218cf7b94e0a315.parquet",
-      "sha256": "5218cf7b94e0a31511e530969bfb7a4047c4a6631b7d8b1fd251152074697832",
-      "bytes": 142136,
-      "rows": 7,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44f13abc-4be2-5958-81bd-f9ed60b7ce2d",
     "numina:83447f6e-9d96-54fe-a1ea-937f0cc95bc1",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002542.lean\",\"a1bc743a598fbf1a44d8a7a3752d14967d602ea048d90ae799f0bcc80c8e3a25\",0,\"algebra_607712\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002543.lean\",\"7296f18defa8f712ccd4291870c6d42bcf48e1b52b24770169bb4e3887ccfb6d\",0,\"algebra_608003\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002544.lean\",\"1d6829ad6c26a7d3c101f3b97f9461097a70719c541a7c62490682f7586c41a0\",0,\"number_theory_608022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 602247,
+      "path": "data/train/pea/numina-000508-0000-f7b5303a161978e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "f7b5303a161978e6759a28e1bc264252690662254f9f78327dd95ee44fec0e60"
+    },
+    {
+      "bytes": 142136,
+      "path": "data/internal_test/pea/numina-000508-0000-5218cf7b94e0a315.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5218cf7b94e0a31511e530969bfb7a4047c4a6631b7d8b1fd251152074697832"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000509.json b/manifests/batches/numina/000509.json
index 2f32ee3fbbaddceb3c83630708c7006c9b294c6c..0e776d0936f97d42ffa3b71814a0c2b0dad3682d 100644
--- a/manifests/batches/numina/000509.json
+++ b/manifests/batches/numina/000509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000509",
   "batch_fingerprint": "d9fa059e5ace2630d0ea2b7b46f72a2509fe83380bc01df215d0b5441cbc6e0f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000509-0000-277c016e0761ab1a.parquet",
-      "sha256": "277c016e0761ab1a80dff91370a73c09b075990635cd2fb7b348781fc3a4e50d",
-      "bytes": 442490,
-      "rows": 27,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04a4830a-0df6-5c09-b3b1-fe92b3e4c9bb",
     "numina:17bd54b1-9611-5180-a540-72438c003ae2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002547.lean\",\"69611de7322e5e1bc66e386a10a04f7c752e870603547abf5c4ea122a72e5473\",0,\"algebra_608046\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002548.lean\",\"22935b195b7521531de89efaf073042f62e6b04296615a175bb44b6b0d28a9c6\",0,\"number_theory_608101\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002549.lean\",\"8ffc4f78d00e254f1d041f80f51ae46e19230ebb6685fdbf3c949abf5edb8d82\",0,\"algebra_608133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 442490,
+      "path": "data/train/p3c/numina-000509-0000-277c016e0761ab1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "277c016e0761ab1a80dff91370a73c09b075990635cd2fb7b348781fc3a4e50d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000510.json b/manifests/batches/numina/000510.json
index 5e524a295631367963bb6e0108b615e8cf253164..97a553cfed6a4e5b6366eaf23d7e34f5e0992404 100644
--- a/manifests/batches/numina/000510.json
+++ b/manifests/batches/numina/000510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000510",
   "batch_fingerprint": "30f12df98a95c7793ab53555b70665257595266fd8a7617ecf867956ca5ec075",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000510-0000-4b7df9e20c360ec2.parquet",
-      "sha256": "4b7df9e20c360ec2f0fb1aa15b808313304482abab97e064bd1ae3667654e5e5",
-      "bytes": 499552,
-      "rows": 39,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09c876fb-35d6-53df-bcbd-12fd2106b9b1",
     "numina:0f433c7e-6cc9-55ff-9ffc-9093ef22aad4",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002551.lean\",\"d5d9991b07eddf5f84765931e3ee3b07773e09a9cc6463b1e9e23ce13af7f254\",0,\"geometry_608136\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002552.lean\",\"9f13c84a0bfebbabde21919845f4e212cdef43ef30b9a9908c01c94a8e56c1ef\",0,\"algebra_608137\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002554.lean\",\"9ab3b70360e849f74862518693fd50697ed141a5d6ee0bfa51545a4eca04d704\",0,\"combinatorics_608153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 499552,
+      "path": "data/train/p21/numina-000510-0000-4b7df9e20c360ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "4b7df9e20c360ec2f0fb1aa15b808313304482abab97e064bd1ae3667654e5e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000511.json b/manifests/batches/numina/000511.json
index 1734f715015faac206e3f7413c7f455c1ddd0b12..c877c8ac29be0101e6f102e5479d159051672f49 100644
--- a/manifests/batches/numina/000511.json
+++ b/manifests/batches/numina/000511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000511",
   "batch_fingerprint": "328f272f24e8419d6310201d9e5b3e0eb845bbbe957355e1f6efedc4e5b79eca",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000511-0000-56e370d47ba38cd2.parquet",
-      "sha256": "56e370d47ba38cd259133d1b6f6da056d10c7eab2e58e73d4cf548d23711f38d",
-      "bytes": 107999,
-      "rows": 18,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/internal_test/numina-000511-0000-d92e139017de4756.parquet",
-      "sha256": "d92e139017de4756d30bb83e7c8bf28e9c92a8f4f3f508f9b1d38413ce4644f3",
-      "bytes": 40694,
-      "rows": 6,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46d51471-7ace-5214-8660-d3005dd8fbeb",
     "numina:4bc7db40-54c8-5f81-aeb1-76356042ea7b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002557.lean\",\"d14f8c791b45eebf0a7bcacf8b5b8722a5ab11e33d952974e6c605760b3306ef\",0,\"combinatorics_608160\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002558.lean\",\"91053eba292733bf98a30054d901c8bc4bca60560160f0559a9128ddf43a7f35\",0,\"combinatorics_608162\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002559.lean\",\"3f300b61c99547565d488e44772976396e67947b851ec5664f097c17eb856af5\",0,\"geometry_608164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107999,
+      "path": "data/train/pe6/numina-000511-0000-56e370d47ba38cd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "56e370d47ba38cd259133d1b6f6da056d10c7eab2e58e73d4cf548d23711f38d"
+    },
+    {
+      "bytes": 40694,
+      "path": "data/internal_test/pe6/numina-000511-0000-d92e139017de4756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d92e139017de4756d30bb83e7c8bf28e9c92a8f4f3f508f9b1d38413ce4644f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000512.json b/manifests/batches/numina/000512.json
index 107dd2692681418686993ba8f4aa7f1a7f5d198f..3ee42ab6c9eba4a1cf5e1b8d9073759450f662bd 100644
--- a/manifests/batches/numina/000512.json
+++ b/manifests/batches/numina/000512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000512",
   "batch_fingerprint": "15445e751472cc07d27fce834ca6e0ae4fda008bcc900b4faf0f133a048f2cdc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000512-0000-f3f520e431df229b.parquet",
-      "sha256": "f3f520e431df229bfd8d70292979552f682a5510bc231acc233ddfc5f237e31f",
-      "bytes": 149699,
-      "rows": 20,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/dev/numina-000512-0000-d20d139ee64e0dc6.parquet",
-      "sha256": "d20d139ee64e0dc68e7dfed1c20ebc9b1dace23467d9a4f90a6c4ac27fd03d4e",
-      "bytes": 80944,
-      "rows": 3,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f3e9dca-316d-5362-8864-1a7224c4de8b",
     "numina:61a6f484-5f49-5842-af25-500075b580bd",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002562.lean\",\"e6c095c5e09ce1fa85796979eaa7c5f6e4b8c117f9628081bc9be95c693952bc\",1,\"logic_and_puzzles_608175\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002563.lean\",\"06c5385a21d784972dc7e78e59f4ef2a451d78d52697f0a4da49408d961d1c34\",0,\"combinatorics_608176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002564.lean\",\"5febd9090f8470cf9aff687fd57d1dd57933973f2624b48363d819fdb230b6e6\",0,\"Combinatorics_608188\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149699,
+      "path": "data/train/pb4/numina-000512-0000-f3f520e431df229b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f3f520e431df229bfd8d70292979552f682a5510bc231acc233ddfc5f237e31f"
+    },
+    {
+      "bytes": 80944,
+      "path": "data/dev/pb4/numina-000512-0000-d20d139ee64e0dc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d20d139ee64e0dc68e7dfed1c20ebc9b1dace23467d9a4f90a6c4ac27fd03d4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000513.json b/manifests/batches/numina/000513.json
index 736a4199bd7c58ac10061d43ac5d769dd78f0f78..40f0a3c42b952a46afd0fae0ecdbf7db52d7abb3 100644
--- a/manifests/batches/numina/000513.json
+++ b/manifests/batches/numina/000513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000513",
   "batch_fingerprint": "cf20b18212e5ed6599733e8af9a15f3cf9cfd7dacd69f5c5888193d1952e9a4f",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000513-0000-570e8994cdf39de8.parquet",
-      "sha256": "570e8994cdf39de8cd13ce74e949f25ec7550d72f2c7b01b3f2735600c456f64",
-      "bytes": 441841,
-      "rows": 26,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0530b3c6-b441-5b2d-a130-c43b9eaa1328",
     "numina:12adc283-acb7-5ec9-af76-65a8e31408da",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002567.lean\",\"b72a23a1a062d04e576560664f51ce7712725611fb15565b4083dfff799b391e\",0,\"number_theory_608195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002568.lean\",\"1815a8c8660c746f1a2d6b2300891fdada77a09bed15863c544a68b97f1d886c\",0,\"geometry_608197\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002569.lean\",\"7ab483862b25156fc83ac3a5c57bcf2f6c8081bd10b67e1c81d4b0d6ed9618ca\",0,\"number_theory_608208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441841,
+      "path": "data/train/p44/numina-000513-0000-570e8994cdf39de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "570e8994cdf39de8cd13ce74e949f25ec7550d72f2c7b01b3f2735600c456f64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000514.json b/manifests/batches/numina/000514.json
index adc4a8f226baf2884f409bd74617487316d991bb..908d0937b7044f7eb05563a758c4f34fed6b3851 100644
--- a/manifests/batches/numina/000514.json
+++ b/manifests/batches/numina/000514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000514",
   "batch_fingerprint": "a87c251233d1554b450d338e95e29d00623103e89ed9ef759aa69ba2af33f5ed",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000514-0000-b6837074dbd7d11e.parquet",
-      "sha256": "b6837074dbd7d11e5e345f80c53b69051627a37ccc38dc7f8db1ffeded694065",
-      "bytes": 290436,
-      "rows": 40,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/dev/numina-000514-0000-bbd07eef30b1f09d.parquet",
-      "sha256": "bbd07eef30b1f09d4f955797e8971eda3c241e6d8e116f38df72a8a72dd54d2d",
-      "bytes": 355932,
-      "rows": 26,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c4c7f91-e527-5802-91a4-8d827803e252",
     "numina:51af65b5-a913-52cd-abb0-7a7e65c0ee44",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002572.lean\",\"859c778bcb8e36a928ef2f77b324a7be51c0665d2463415b2ab853581892ab1e\",0,\"number_theory_608228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002573.lean\",\"6b3090d17fbe31f34a5a284b30ea9b69f588e6f675a8dbbafab082c0f4bb2f55\",0,\"number_theory_608229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002574.lean\",\"f86dd555c990daf30b68e79f3cd16068646591509f476946adb061280e41668c\",3,\"algebra_608240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290436,
+      "path": "data/train/p69/numina-000514-0000-b6837074dbd7d11e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "b6837074dbd7d11e5e345f80c53b69051627a37ccc38dc7f8db1ffeded694065"
+    },
+    {
+      "bytes": 355932,
+      "path": "data/dev/p69/numina-000514-0000-bbd07eef30b1f09d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "bbd07eef30b1f09d4f955797e8971eda3c241e6d8e116f38df72a8a72dd54d2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000515.json b/manifests/batches/numina/000515.json
index 40e10fbf53a4c18d6a058ed766cbfa5c71fd1b77..4cf665542f5753c265d2c3428baec27fa1d6fb9a 100644
--- a/manifests/batches/numina/000515.json
+++ b/manifests/batches/numina/000515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000515",
   "batch_fingerprint": "95e1d4fdd58ba77d79123246d8a9942f4374d3e92cd8cffa50b0e15d21c187cb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000515-0000-0c11c70605c5af5d.parquet",
-      "sha256": "0c11c70605c5af5d1eace8fd837c55a8c4402933616ee1ac9a7a03b33cc5e9cc",
-      "bytes": 538780,
-      "rows": 39,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/internal_test/numina-000515-0000-2b7a14cba4969462.parquet",
-      "sha256": "2b7a14cba4969462c36f7b264815dc421bde28a75370da4ce9453585e8a0e672",
-      "bytes": 42497,
-      "rows": 4,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39bcdf9c-c563-5242-816a-f75762275b45",
     "numina:6ec7118f-a6c4-524f-8b5b-b9ca25e17545",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002577.lean\",\"7778e2888856461f4678e28dee113f7e2aaf2e82d3c9f2165f2057602bb4695e\",0,\"algebra_608256\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002578.lean\",\"f3b578e949570cd0c2006673596288572fb58251147be6d229590523082dc41c\",0,\"calculus_608262\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002579.lean\",\"eb830d8a6f4ec8ca437e72257a22222b1c158faac511cfe08d9092042206181a\",0,\"calculus_608269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 538780,
+      "path": "data/train/pd3/numina-000515-0000-0c11c70605c5af5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "0c11c70605c5af5d1eace8fd837c55a8c4402933616ee1ac9a7a03b33cc5e9cc"
+    },
+    {
+      "bytes": 42497,
+      "path": "data/internal_test/pd3/numina-000515-0000-2b7a14cba4969462.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2b7a14cba4969462c36f7b264815dc421bde28a75370da4ce9453585e8a0e672"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000516.json b/manifests/batches/numina/000516.json
index 5e9bafd321a41d9e116b6119d4b32f48a44ef5a9..2f56343fc2836b890972c4cfa1cd56165a045652 100644
--- a/manifests/batches/numina/000516.json
+++ b/manifests/batches/numina/000516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000516",
   "batch_fingerprint": "a9f7fe10458bd8483f9500d64d64bf3bd0d1190f80885a292398625f483a0d40",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000516-0000-d713dd92801a22e9.parquet",
-      "sha256": "d713dd92801a22e9ef9bbeeeb5fc24c76587586690ea89048647ba75c1a3b6bb",
-      "bytes": 125830,
-      "rows": 20,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71bfca02-16cd-5ea0-978a-0c90a9b0b968",
     "numina:88663306-ccaa-5986-8184-362b38be429e",
@@ -59,5 +50,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002581.lean\",\"dfa25cc86e87866a429fc0fee132ab6f7712a3b376ceb92a46accd66267e34fd\",0,\"algebra_608293\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002582.lean\",\"de62dd0bb7c552612a824941945a36034ef9a9da3101d1be124d99bd8b4db28e\",0,\"combinatorics_608296\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002583.lean\",\"689e061222c31c0417f040dcf1ba47b7d009324db766043cd976d6306eeafeba\",0,\"geometry_608299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125830,
+      "path": "data/train/p48/numina-000516-0000-d713dd92801a22e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d713dd92801a22e9ef9bbeeeb5fc24c76587586690ea89048647ba75c1a3b6bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000517.json b/manifests/batches/numina/000517.json
index 71f7b8bbf57fac057fe1e82f3ba7279885c6042a..d8943fd429aadadc44c75c912b3db400f5c3b778 100644
--- a/manifests/batches/numina/000517.json
+++ b/manifests/batches/numina/000517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000517",
   "batch_fingerprint": "4d781fc19f2cfccfdfa0958e95399513fb30ccaf0b92d145e5f6835e791d6b43",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000517-0000-23d25b4cf6d7ed1e.parquet",
-      "sha256": "23d25b4cf6d7ed1e94096187589880e17c6763d11b12d8a311e3a466d48e8aec",
-      "bytes": 235846,
-      "rows": 19,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:054f1d7b-5fb0-53ce-a203-4ad88cf0cdea",
     "numina:2ed36278-c798-59c3-8339-236a4aaca455",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002586.lean\",\"e437d444bbd4635f78ab4b68b0cba6389d29ab57bf71efa666702c3a3b6ae726\",0,\"Combinatorics_608318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002588.lean\",\"3c40b43eff7f9b8b22a336c8a47f3e0f0f4e8f35263025fcba869f0f59d72143\",0,\"truncated_octahedron_vertex_region_volume\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002589.lean\",\"d69aa516e930eede648e71fc06a1e2310acb86c4c7b95a4ce43cb7d4c561d051\",0,\"algebra_608332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235846,
+      "path": "data/train/p33/numina-000517-0000-23d25b4cf6d7ed1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "23d25b4cf6d7ed1e94096187589880e17c6763d11b12d8a311e3a466d48e8aec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000518.json b/manifests/batches/numina/000518.json
index ff0d766aa91f6ae47f4878dc7338937eb97049e7..6369cac9f9419a9b0261895bd8f0b368f9bf02c9 100644
--- a/manifests/batches/numina/000518.json
+++ b/manifests/batches/numina/000518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000518",
   "batch_fingerprint": "15aa88bd90300fe03119c75f5635d93d45ca92dc62b05b7d7a3ed31bebe7858e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000518-0000-bdaf80351bbafaa7.parquet",
-      "sha256": "bdaf80351bbafaa7691183f372fdd73c7439182f3652faaf696899044d811e4f",
-      "bytes": 225277,
-      "rows": 48,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1278f55e-8ef3-5297-bdd8-3fc21bad9a66",
     "numina:55f22d09-14eb-5a7b-bc4a-c4e6b6dceb53",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002592.lean\",\"2791967822822d98371101038e5df1855ec4f55a86173d2849911b67f074e12f\",0,\"combinatorics_608360\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002593.lean\",\"d32933dc6bf7fd36b4be026f6e1d1dd8901f9c566d72ac81440dbb3755bf062f\",0,\"geometry_608363\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002594.lean\",\"9a419b8fa0f5010971f262fa30316006ee4720841d541cd582d8c98dfb87fe01\",0,\"algebra_608369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225277,
+      "path": "data/train/p3f/numina-000518-0000-bdaf80351bbafaa7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "bdaf80351bbafaa7691183f372fdd73c7439182f3652faaf696899044d811e4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000519.json b/manifests/batches/numina/000519.json
index 473805fb714f8a068cfb0b60e885898bf531f8e6..678fd30fc79891529f0f004f6b630bd38a765804 100644
--- a/manifests/batches/numina/000519.json
+++ b/manifests/batches/numina/000519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000519",
   "batch_fingerprint": "81428087bd0590dbf4678589173694d3d17f6ad416719681e11fd6b6792c860e",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000519-0000-053d8ec86662e629.parquet",
-      "sha256": "053d8ec86662e629cbc501fa60b00913f1b13285004611d4343454b35706b3b4",
-      "bytes": 568937,
-      "rows": 32,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:53a30336-e104-5a36-ab68-7fea5cd5577c",
     "numina:99fdbb07-aca5-5a93-b23b-337013c17c2c",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002597.lean\",\"e1ae1026f4709caccb7b98017b04ba03e3ea4abdcb747c2032e4781e4c70f8b4\",0,\"number_theory_608375.number_theory_608375\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002598.lean\",\"f99f3f6bc7d8dbc7ee9eee4b594015522d09d9e461a732695ac3344d06f72e30\",0,\"algebra_608376\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002599.lean\",\"879ca13dd31345925048aec630d0f4a2a97a8f7383bc022f8dd6cafaf0975d6f\",0,\"number_theory_608377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 568937,
+      "path": "data/train/pee/numina-000519-0000-053d8ec86662e629.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "053d8ec86662e629cbc501fa60b00913f1b13285004611d4343454b35706b3b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000520.json b/manifests/batches/numina/000520.json
index 55f84e6e41e92c71ccde98fb1506c9309c7b5dc5..494567068452a57beed09de2fadb8fd2a7d50dcd 100644
--- a/manifests/batches/numina/000520.json
+++ b/manifests/batches/numina/000520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000520",
   "batch_fingerprint": "d7594eeaa6fdfe8ab45809f6d5c0a3aca0f3645e6500b456c42c77155f1f2fcb",
   "evidence": {
@@ -46,22 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000520-0000-9b8d6c8b8f7f5283.parquet",
-      "sha256": "9b8d6c8b8f7f5283e5ad53cbbca891e8607562dfef0457ad6c372a9c1fb2143f",
-      "bytes": 89663,
-      "rows": 12,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    },
-    {
-      "path": "data/dev/numina-000520-0000-5a0c2fe02b0224bf.parquet",
-      "sha256": "5a0c2fe02b0224bf271944802953b1a0559daef4e7fe49032e77e01d2209d996",
-      "bytes": 104042,
-      "rows": 5,
-      "revision": "8622fb0a7df3d9edb2add421396c707895ca7ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d449504-5e21-5364-81f7-34e3378f9b8f",
     "numina:ac8757d5-3ce3-54ae-b208-c85345a6972d",
@@ -73,5 +57,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002602.lean\",\"34f7629841d4e7efda625c0ee5ea393220def5dd7c94a07cab4f86010b672abe\",0,\"algebra_608385\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002603.lean\",\"724993a7951ad71efdaf7711134a85d611de5d46303c15877e607ea6990375ca\",0,\"calculus_608391\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002604.lean\",\"28a6d5780fe4719dd69236e389be719f0135f496feece0d0c74799d0f27cbe85\",1,\"calculus_608392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89663,
+      "path": "data/train/p04/numina-000520-0000-9b8d6c8b8f7f5283.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9b8d6c8b8f7f5283e5ad53cbbca891e8607562dfef0457ad6c372a9c1fb2143f"
+    },
+    {
+      "bytes": 104042,
+      "path": "data/dev/p04/numina-000520-0000-5a0c2fe02b0224bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5a0c2fe02b0224bf271944802953b1a0559daef4e7fe49032e77e01d2209d996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000521.json b/manifests/batches/numina/000521.json
index 0ff13397949f94a45c7b4df0d9754c915dc24cee..a0c92a5f8997974f9d48aefc544dbcc157069065 100644
--- a/manifests/batches/numina/000521.json
+++ b/manifests/batches/numina/000521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000521",
   "batch_fingerprint": "3126c5e5f09044f291ae6ac76262d855e288744380fde959b51750c514f59540",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000521-0000-4a4c593c550f8e77.parquet",
-      "sha256": "4a4c593c550f8e772089aac297403ef0b3b8ccc20e1fcd0732cb154ff4958b1d",
-      "bytes": 503423,
-      "rows": 55,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d866cb7-87fd-50c5-8f2f-11e75a3c2ebb",
     "numina:43a698a2-d5e7-59cf-9fd5-43a62f8ac206",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002607.lean\",\"431454406cb3ddf8cff8d076d474ba32a8178e3ab2a9eabeb424a0a1eeb7764a\",0,\"Geometry_608402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002608.lean\",\"07449e075f69cfe82cecada9d3ae40262f626e5ea0247bed338c111de0804e67\",0,\"algebra_608418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002609.lean\",\"b699b61d68d2829d445ec663d922f081b1a104b243e4966499228612f4d65268\",0,\"algebra_608419\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503423,
+      "path": "data/train/p05/numina-000521-0000-4a4c593c550f8e77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "4a4c593c550f8e772089aac297403ef0b3b8ccc20e1fcd0732cb154ff4958b1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000522.json b/manifests/batches/numina/000522.json
index 3413b96825096e06c68abf00b06a1d885dfb2ebe..e7f4372a2fde2be59fb7a61e62eb0b8ad4a9cd27 100644
--- a/manifests/batches/numina/000522.json
+++ b/manifests/batches/numina/000522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000522",
   "batch_fingerprint": "6b0e752353a3d9571c3d9e59157bcbb56fd9202b87cb08e1c472dc1419adf015",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000522-0000-6b79401580f33eb0.parquet",
-      "sha256": "6b79401580f33eb0fbdcb5d44315b6ebddb5cbdd9963fe318954fd5e460e3c1c",
-      "bytes": 83308,
-      "rows": 12,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/internal_test/numina-000522-0000-ca8cffa1bc1c1c35.parquet",
-      "sha256": "ca8cffa1bc1c1c3572f09d82a3efdb6fee953e47b2c3a961c12f17d5a25c766e",
-      "bytes": 67784,
-      "rows": 3,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a167cfe-9d6b-5f2d-ad84-f449ecabab62",
     "numina:5c5d7f9d-6462-54b2-bb02-4b099e20af5f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002612.lean\",\"ebc9adf88ba0bcfc767c00bb4752e70883176ad0d86b45b106edc24078367f85\",0,\"combinatorics_608425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002613.lean\",\"bf353a2b8ceb98602cc45fae25806e46d39d37b4dccd4fbdff4436bc4c9b8222\",0,\"algebra_608426\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002614.lean\",\"7b29786e21c6718775deee35d69d58df97526d74d91281d338fc1661850f27bd\",0,\"algebra_608429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83308,
+      "path": "data/train/p84/numina-000522-0000-6b79401580f33eb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6b79401580f33eb0fbdcb5d44315b6ebddb5cbdd9963fe318954fd5e460e3c1c"
+    },
+    {
+      "bytes": 67784,
+      "path": "data/internal_test/p84/numina-000522-0000-ca8cffa1bc1c1c35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ca8cffa1bc1c1c3572f09d82a3efdb6fee953e47b2c3a961c12f17d5a25c766e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000523.json b/manifests/batches/numina/000523.json
index 7ea63c298d0668c1b7dc3f6ac54af06c7d94e5e2..a0e1699488f6eef1102a58ecc972f5dabad50758 100644
--- a/manifests/batches/numina/000523.json
+++ b/manifests/batches/numina/000523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000523",
   "batch_fingerprint": "3b32f50327cc13c329da8bf260ace4d02171dd276e9942b4b6fecab546e053a1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000523-0000-870df9d4567980c1.parquet",
-      "sha256": "870df9d4567980c1ee019e0bb35940acf8e50aa44898fd4ce0903bbc48f69329",
-      "bytes": 207225,
-      "rows": 21,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:75744558-966a-57e0-9844-41bbd2fa7877",
     "numina:82af504d-2f4f-5b4b-94f6-b81d8b5b1f0c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002617.lean\",\"d546bf4d51a7ebc6efaf8937729c71ec5f4aa5205f76b80378c1dc9fe4c7833e\",0,\"number_theory_608438\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002618.lean\",\"382a7e4b9987c012938b188b6ba41e65c403a0cab618b6bc7dd139afe20bdea4\",0,\"hmit\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002619.lean\",\"065ca85bea42f402cef5c740048647ddcfeccffdfbb426c849e8ac8ee3f353de\",0,\"number_theory_608454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207225,
+      "path": "data/train/p13/numina-000523-0000-870df9d4567980c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "870df9d4567980c1ee019e0bb35940acf8e50aa44898fd4ce0903bbc48f69329"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000524.json b/manifests/batches/numina/000524.json
index bdfe84988a6ad746bc4a3caa231b674cc05708d9..cafe92fdfea2f62aed521c34fcf4cadb0b6b40b3 100644
--- a/manifests/batches/numina/000524.json
+++ b/manifests/batches/numina/000524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000524",
   "batch_fingerprint": "cd1f10d49796379548d14edec1b3d9b4bd4c0b6600762f2ba7e30c295ed1edfd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000524-0000-a6302b7c3b4bd472.parquet",
-      "sha256": "a6302b7c3b4bd472f4ee55e196f31ec21fe1a66161a312885d9821c7b9256d7d",
-      "bytes": 230598,
-      "rows": 32,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24ac4e28-232f-5185-af08-8ec1c7ebf67a",
     "numina:2f56ba43-1e22-52f8-ba8d-58bd133b704d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002622.lean\",\"04fcda7fb02447c227e3dc97f288d158303b5857a099645962962a647e2aff10\",0,\"number_theory_608464\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002623.lean\",\"b04e1db607d9b0ca9363857fc140b92631c510f3863088bd0c3967c855f1b164\",0,\"algebra_608467\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002624.lean\",\"291918676ccd11c76a1b668aed723680f0d16c35a1509935209fc3dbb8e5369e\",0,\"algebra_608470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230598,
+      "path": "data/train/p37/numina-000524-0000-a6302b7c3b4bd472.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a6302b7c3b4bd472f4ee55e196f31ec21fe1a66161a312885d9821c7b9256d7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000525.json b/manifests/batches/numina/000525.json
index f2ed27284a29c54447c32c476fb747f5b3fc46ed..5d3ef57dd5a71ff0d89727a0f45aae908b25b1bb 100644
--- a/manifests/batches/numina/000525.json
+++ b/manifests/batches/numina/000525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000525",
   "batch_fingerprint": "f4cf1959b87198a9df132bb29468fd6821690e72bf12610a15ee728561552996",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000525-0000-b6c89c527ae5ca1b.parquet",
-      "sha256": "b6c89c527ae5ca1b1b917009afacc4a8d1137c908595d8bb4f2d9906cdfe3a40",
-      "bytes": 471751,
-      "rows": 44,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1887a55a-6086-5043-ab7c-9a7c6cd0a285",
     "numina:1a60c1a0-5511-5ff8-a754-03ed5fe71864",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002627.lean\",\"23b3f9c2bf6cb6ac56f40b714f8eabb80c257ff57fc480143892d98ccad10628\",10,\"number_theory_608491\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002628.lean\",\"1781890db3070ec4d178818f5a76b0f9a20203ac22da9457aff471a31034650a\",0,\"number_theory_608493\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002629.lean\",\"70ceac5250a9cebea65aafeef8fea6a74bf5d9881884b96718675ee9b0269956\",0,\"algebra_608511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471751,
+      "path": "data/train/p79/numina-000525-0000-b6c89c527ae5ca1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "b6c89c527ae5ca1b1b917009afacc4a8d1137c908595d8bb4f2d9906cdfe3a40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000526.json b/manifests/batches/numina/000526.json
index 2dd88484633491cc82b9fd1767fbe1772e0f8ad3..f71eecc31d4126aaaba22a382d1f3fd77810b2a2 100644
--- a/manifests/batches/numina/000526.json
+++ b/manifests/batches/numina/000526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000526",
   "batch_fingerprint": "d639be204953ca9e81ede92ad162cc3d493bb1bac01d2973294e940b4852bfa3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000526-0000-524c355414e48848.parquet",
-      "sha256": "524c355414e48848c45a7a17dffa893cff413977e1ba308bbd25285883e9f48a",
-      "bytes": 634232,
-      "rows": 67,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/train/numina-000526-0001-22a1d3a496bddfab.parquet",
-      "sha256": "22a1d3a496bddfab2faf157cdc63f0ae67f2669027897f99c0a3b098b90e587e",
-      "bytes": 285375,
-      "rows": 22,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000526-0000-0d39b18291a8b735.parquet",
-      "sha256": "0d39b18291a8b735c7b3aebc744b970cf292cf10777de78c6994575143f6ee6e",
-      "bytes": 37659,
-      "rows": 7,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:61beb2f0-db34-5815-b3b0-5319358c32a8",
     "numina:d216d06e-fa09-5caa-8b05-782589d6cf32",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002632.lean\",\"6dda384e665d5364c1c4caa0866daf72bde95d8cf3f57d0da579b6f1ea89df88\",0,\"number_theory_608527\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002633.lean\",\"d7bb2ad15489d4dee3f68ff87618778224003013fa459ef84ee99447348f0f3a\",0,\"algebra_608528\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002634.lean\",\"565a8d49353b7079ce468359bfa8b61f3621364a260aa75e14ec95382f82cfde\",0,\"algebra_608531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634232,
+      "path": "data/train/p52/numina-000526-0000-524c355414e48848.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "524c355414e48848c45a7a17dffa893cff413977e1ba308bbd25285883e9f48a"
+    },
+    {
+      "bytes": 285375,
+      "path": "data/train/p52/numina-000526-0001-22a1d3a496bddfab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "22a1d3a496bddfab2faf157cdc63f0ae67f2669027897f99c0a3b098b90e587e"
+    },
+    {
+      "bytes": 37659,
+      "path": "data/internal_test/p52/numina-000526-0000-0d39b18291a8b735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0d39b18291a8b735c7b3aebc744b970cf292cf10777de78c6994575143f6ee6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000527.json b/manifests/batches/numina/000527.json
index 10914a3cd07ba90f49566a5bea47d846173c9d5e..be158ed88661b479ec6111cdefc778fd1948e2e1 100644
--- a/manifests/batches/numina/000527.json
+++ b/manifests/batches/numina/000527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000527",
   "batch_fingerprint": "c159470db29b47de8fddfe8470fb8ba138a34583c8a91fff16fd00842b37516e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000527-0000-3f9ecf062f57478a.parquet",
-      "sha256": "3f9ecf062f57478ad56612eeb1728467b29d8e39de1f410a748ee5d2df60ed57",
-      "bytes": 40312,
-      "rows": 3,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/dev/numina-000527-0000-b7b9a4220096879e.parquet",
-      "sha256": "b7b9a4220096879e0b9ca83f40409600f2212f81b689c904348ce4f6cf6df054",
-      "bytes": 23874,
-      "rows": 1,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/internal_test/numina-000527-0000-5c7ea211ee628fb2.parquet",
-      "sha256": "5c7ea211ee628fb22901457732ed9c44f6455e5c8fc38f0eea5fc85ef70f9f50",
-      "bytes": 40803,
-      "rows": 2,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9adce821-ffcb-5c33-941c-f6be2b0437f1",
     "numina:ad5a4e6b-434a-5637-9eae-0412c94116da",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002637.lean\",\"e19145aad3bd84dc4461fcb9c3c352da83499c17b9c2088f7d3a1c81f8aafd91\",0,\"combinatorics_608571\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002638.lean\",\"a5ee95d0e28f209d4615009093ead03087841d8282a34a616c4437a2ced26144\",0,\"logic_and_puzzles_608575\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002639.lean\",\"193a91a483084c5074552134e96884d5b1107375d47ef15fd3871869f3e5116a\",0,\"combinatorics_608576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40312,
+      "path": "data/train/pcd/numina-000527-0000-3f9ecf062f57478a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3f9ecf062f57478ad56612eeb1728467b29d8e39de1f410a748ee5d2df60ed57"
+    },
+    {
+      "bytes": 23874,
+      "path": "data/dev/pcd/numina-000527-0000-b7b9a4220096879e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b7b9a4220096879e0b9ca83f40409600f2212f81b689c904348ce4f6cf6df054"
+    },
+    {
+      "bytes": 40803,
+      "path": "data/internal_test/pcd/numina-000527-0000-5c7ea211ee628fb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5c7ea211ee628fb22901457732ed9c44f6455e5c8fc38f0eea5fc85ef70f9f50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000528.json b/manifests/batches/numina/000528.json
index fa58accd2f17c9b55bdea2c128ff8df14a991561..1a7f9798f8b0029b756c8bf845cbcd03ac612908 100644
--- a/manifests/batches/numina/000528.json
+++ b/manifests/batches/numina/000528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000528",
   "batch_fingerprint": "34d20f6c9bb3b092587b0da241767e4d110e2c0c0e915766c18a58d544e0badf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000528-0000-70dabc238781582b.parquet",
-      "sha256": "70dabc238781582b41b67aee212a3edb77b2f35b3728488f42ab2de28c2694e1",
-      "bytes": 489074,
-      "rows": 30,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6230c9ec-4fab-5256-9f57-35af6388b26b",
     "numina:72843d95-b930-57e2-9a72-683bd62d171e",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002642.lean\",\"371278a27387b146eb313a6f361f0d4a8f56fb5ff68f7aada610ca2ce398bf68\",0,\"Geometry_608581\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002643.lean\",\"81b770cc1ea2a171a8ae5b49dd82b9eb7f69b173eaf24e2fc213887a45ebb1db\",0,\"combinatorics_608583\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002644.lean\",\"9f9252af9909af012eb5d069aa5207cb4610fb1cf9b28ef8cca26864c47c8fe2\",0,\"combinatorics_608585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 489074,
+      "path": "data/train/pd1/numina-000528-0000-70dabc238781582b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "70dabc238781582b41b67aee212a3edb77b2f35b3728488f42ab2de28c2694e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000529.json b/manifests/batches/numina/000529.json
index 50a9442b5cff19713d0afecfc775a200571615f1..54fa8de89c2baaafea3ce171fae6f5aaa917d2e4 100644
--- a/manifests/batches/numina/000529.json
+++ b/manifests/batches/numina/000529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000529",
   "batch_fingerprint": "0263acfc282b79f6383d52ecfdc71e0bbab6714708e6bdf420a350a36a57ae91",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000529-0000-44d0b1347a30a944.parquet",
-      "sha256": "44d0b1347a30a94456e7b68948836ae02322d2a50049ae2acc496bda5f3522d6",
-      "bytes": 587596,
-      "rows": 30,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/train/numina-000529-0001-85de2bc7122cd4e3.parquet",
-      "sha256": "85de2bc7122cd4e319e50968a2aa19a8b36741f57602ab9d4f2731b827748d74",
-      "bytes": 435692,
-      "rows": 26,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28577635-2c05-5a2b-879e-7a06f04c22f5",
     "numina:289d106c-c45c-562f-8050-81f8afff99cf",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002646.lean\",\"a02ff3e712c385c0560ceb6172061349c6d61705c53c76882655c065cff96360\",0,\"algebra_608593\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002648.lean\",\"a3e3aacac5df66e9bb060443c0497b57230a67cf4fc27139dee9b35e5f804915\",0,\"combinatorics_608620\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002649.lean\",\"8bdfb738a8f39f861eec3c5076470bb2fb94adcef76b8fe6e2b2e9073a55f4ba\",0,\"number_theory_608624\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 587596,
+      "path": "data/train/p0b/numina-000529-0000-44d0b1347a30a944.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "44d0b1347a30a94456e7b68948836ae02322d2a50049ae2acc496bda5f3522d6"
+    },
+    {
+      "bytes": 435692,
+      "path": "data/train/p0b/numina-000529-0001-85de2bc7122cd4e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "85de2bc7122cd4e319e50968a2aa19a8b36741f57602ab9d4f2731b827748d74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000530.json b/manifests/batches/numina/000530.json
index 862ebe6396a1fe79706f21fd58082e6acf5a6a6e..b5d8fa47cfbbbcd1691703d0d8a5c89be2612144 100644
--- a/manifests/batches/numina/000530.json
+++ b/manifests/batches/numina/000530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000530",
   "batch_fingerprint": "26d9500b258357344eb4028d4775b976da7e0b19516aa1096b221f2fc9a3b684",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000530-0000-5f4449f72b1a0e84.parquet",
-      "sha256": "5f4449f72b1a0e84e3c4e5ab87ac2a6500df500c5ab9c9d5d023eb6d9bf254b0",
-      "bytes": 560944,
-      "rows": 63,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d07772c-6939-5582-8c71-20aaa133f1d1",
     "numina:56ddd9ea-2f32-530c-9360-a850a6c7d7df",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002652.lean\",\"773bc4fa8f1f69f314b4c1f16633e9af8fb823b3d364d1add3ce9281fa6613b4\",0,\"combinatorics_608647\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002653.lean\",\"c31d238f5ee9f5430ae2574601e181824d5e53dcafeeeda2d65786be20423b10\",0,\"number_theory_608658\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002654.lean\",\"e041f6d95ac42604c74cb02ffdaeb1265069edf1ffc0c6fe9f01f505c99d5745\",0,\"algebra_608667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 560944,
+      "path": "data/train/p35/numina-000530-0000-5f4449f72b1a0e84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "5f4449f72b1a0e84e3c4e5ab87ac2a6500df500c5ab9c9d5d023eb6d9bf254b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000531.json b/manifests/batches/numina/000531.json
index 5aac985227d46255322ddab5d815116627a95a9a..f7eacfb6530bf462486d1c2a996516f0d74346cf 100644
--- a/manifests/batches/numina/000531.json
+++ b/manifests/batches/numina/000531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000531",
   "batch_fingerprint": "d33ebc4b4452af83be66bd724090eabdc72b630c68d199f30d150713db5d1841",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000531-0000-a64931e3e42ffa42.parquet",
-      "sha256": "a64931e3e42ffa42cc70165ba4e72eeb91dc106928285cef73cc0aba21fb9c5e",
-      "bytes": 111007,
-      "rows": 26,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f0b4124-c0b1-5f56-b6fe-46ea6d29fcb5",
     "numina:18c7b78f-9179-5655-8028-69b7ce4a32c4",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002657.lean\",\"47988fe26175cc97fc0f8a1fd72961be7ec80feb09a4452372b776b8bc2cc5b4\",1,\"combinatorics_608691\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002658.lean\",\"96372e57f76391eeb8aea27e3cd970664152a22866b73acbcff109db9f67e897\",0,\"Combinatorics_608696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002659.lean\",\"47c7473f50b68b4a65c9169853d5f629597cf5f2dfd76aa54ee5fdc3e6944958\",0,\"combinatorics_608712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111007,
+      "path": "data/train/pb5/numina-000531-0000-a64931e3e42ffa42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a64931e3e42ffa42cc70165ba4e72eeb91dc106928285cef73cc0aba21fb9c5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000532.json b/manifests/batches/numina/000532.json
index a2201dc2186ea530f1336c62404fcd37964cfffd..7cb6ea90e351f050b2b3450272020e7044bf9fa0 100644
--- a/manifests/batches/numina/000532.json
+++ b/manifests/batches/numina/000532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000532",
   "batch_fingerprint": "48951601ab6c36e0ee675ce8a699a7e47685acd6b840086d672ad767777ac47b",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000532-0000-3bda236c3bc85b0b.parquet",
-      "sha256": "3bda236c3bc85b0b96492e2b4e6b13333bb0f0a800085d2780673b9be02c730a",
-      "bytes": 262844,
-      "rows": 32,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000532-0000-a01bfc667ef4e9a0.parquet",
-      "sha256": "a01bfc667ef4e9a0fb9bb4738d950601c3e983e1c4f737eb20c3ad5b3cb819e3",
-      "bytes": 486897,
-      "rows": 38,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:88d54f36-6289-5289-84ef-b7924275eed7",
     "numina:94d17d17-f7b8-5370-bafa-d09aa694c92b",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002662.lean\",\"87fa10475ad41dd72b97d367a3a093317d215e4b49dd83e948c2dede137ce53f\",0,\"algebra_608726\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002663.lean\",\"abdb92d405d6665c7f3ead167a08582aa64b05ff4542585fa8a8fd3cdc00fa7e\",0,\"combinatorics_608738\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002664.lean\",\"13e77193799ad1c6a525a263c96ad1cb0eb6f34cac54b63ee07864685081c40a\",0,\"combinatorics_608740\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262844,
+      "path": "data/train/p7e/numina-000532-0000-3bda236c3bc85b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "3bda236c3bc85b0b96492e2b4e6b13333bb0f0a800085d2780673b9be02c730a"
+    },
+    {
+      "bytes": 486897,
+      "path": "data/internal_test/p7e/numina-000532-0000-a01bfc667ef4e9a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "a01bfc667ef4e9a0fb9bb4738d950601c3e983e1c4f737eb20c3ad5b3cb819e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000533.json b/manifests/batches/numina/000533.json
index 8eb501fc671423751e6ac7680acd119f2e23b902..c8a7860b91529ca0f40eaecb6041fa772655439c 100644
--- a/manifests/batches/numina/000533.json
+++ b/manifests/batches/numina/000533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000533",
   "batch_fingerprint": "8860d96de530e827ef3499984bea82ff7080fbc4c3a0513d6890e4651b83a72a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000533-0000-5680efe8eb1fc76b.parquet",
-      "sha256": "5680efe8eb1fc76b7616f51b74f37070a493ca969b920415041a4947dbcb7e50",
-      "bytes": 300969,
-      "rows": 45,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09adf546-789a-552c-babd-9dedef7c4414",
     "numina:193fe2d6-83c8-53e2-aff5-fba1ee54e625",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002667.lean\",\"ccbc00ecad5f4eb7a3ce668e7627eb8a1d4e23533e57e954cf9c214130ce6bba\",0,\"combinatorics_608752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002668.lean\",\"f9b2e4101e34bc184fb01ecf08d05ea7b927bcc8db4594e9e6af2260b7737564\",0,\"combinatorics_608753\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002669.lean\",\"98c3fa77d05ddfa98c9b593100463a03e27946b72e6761c970253f02168d5b9f\",0,\"Combinatorics_608761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300969,
+      "path": "data/train/p37/numina-000533-0000-5680efe8eb1fc76b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "5680efe8eb1fc76b7616f51b74f37070a493ca969b920415041a4947dbcb7e50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000534.json b/manifests/batches/numina/000534.json
index d919e7eca14ff389a507066e7dcfc4fbd0a2ed1e..44c27969cc2c80f16ec7e50b2905a64b8f73aa0e 100644
--- a/manifests/batches/numina/000534.json
+++ b/manifests/batches/numina/000534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000534",
   "batch_fingerprint": "adcea7e2b43d399316f18b7de462db19817889458051f08f4def79914bf3a4f6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000534-0000-2ca7e0a2c6b4c99b.parquet",
-      "sha256": "2ca7e0a2c6b4c99bbc2514106ed768d0b432498b20dacbf34d03e735ac35befb",
-      "bytes": 165914,
-      "rows": 11,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/dev/numina-000534-0000-35a1c6b73fc2bebf.parquet",
-      "sha256": "35a1c6b73fc2bebf245b56303eb38dba903e70161d5f312eee5d3c7d4e2eff35",
-      "bytes": 99279,
-      "rows": 8,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    },
-    {
-      "path": "data/internal_test/numina-000534-0000-c7a37bdb6a040421.parquet",
-      "sha256": "c7a37bdb6a040421e0c1f31152c2e0291d448b576edc6abd424902a9bf16ab84",
-      "bytes": 430359,
-      "rows": 16,
-      "revision": "cc18b4c63771ec598a060a31a81d8f2134c100f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f4a257d-ddbe-52ff-bd6f-2791b528d0d5",
     "numina:7233b15a-7c38-5b9f-adde-a7f809640d74",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002672.lean\",\"da5a731572db2f6125340bc83596f4684b6c70a0ea3f1398478ef4bbb21a62a9\",0,\"combinatorics_608780\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002673.lean\",\"9cc559cfaeef66ca980762bfed50d040349a4e1e8a20a3e3b9707bc6592b2d82\",0,\"algebra_608784\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002674.lean\",\"1282248c8e69c63277fd88397d00908fea4451ede3f2430954edc0538f6a8dfb\",0,\"algebra_608785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165914,
+      "path": "data/train/p94/numina-000534-0000-2ca7e0a2c6b4c99b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2ca7e0a2c6b4c99bbc2514106ed768d0b432498b20dacbf34d03e735ac35befb"
+    },
+    {
+      "bytes": 99279,
+      "path": "data/dev/p94/numina-000534-0000-35a1c6b73fc2bebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "35a1c6b73fc2bebf245b56303eb38dba903e70161d5f312eee5d3c7d4e2eff35"
+    },
+    {
+      "bytes": 430359,
+      "path": "data/internal_test/p94/numina-000534-0000-c7a37bdb6a040421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c7a37bdb6a040421e0c1f31152c2e0291d448b576edc6abd424902a9bf16ab84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000535.json b/manifests/batches/numina/000535.json
index bb767f4c38643012d02243724135d11f43531444..62eed790dfa9e5ae9874bf5608529615bffd4106 100644
--- a/manifests/batches/numina/000535.json
+++ b/manifests/batches/numina/000535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000535",
   "batch_fingerprint": "ffc5c6866c8b4555266f16bcdd596eb2fe6caf13af09df68da4a995f03a9cfef",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000535-0000-23ae02dc62b9a092.parquet",
-      "sha256": "23ae02dc62b9a092d496b9aa5822c5fb5f0f28e76528723a88d38dd1376bfcdd",
-      "bytes": 330496,
-      "rows": 16,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000535-0000-782c8819e2e9ea60.parquet",
-      "sha256": "782c8819e2e9ea60caca3a4e7a05c4558910953b2fecc4e3a6e14a39b3127e95",
-      "bytes": 87280,
-      "rows": 18,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:25de320b-0be5-5135-ab21-5f1d4b7a4e15",
     "numina:5c5270c8-d7b2-5fea-802f-980391fd128c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002677.lean\",\"2061fdbb7bafd9da6063d7f47ae5269bb322bcd59eadc9b20f5222cb144e1101\",0,\"combinatorics_608849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002678.lean\",\"3a0db5a0332da59ea50bb742f4867aea0fc134370d07149508c08fc879bbd9bc\",0,\"combinatorics_608870\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002679.lean\",\"90e4c0b4b2f0f629a20f5400db4f83f781cc0b6eeedc0be2741cd9b5258c10a0\",0,\"number_theory_608900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330496,
+      "path": "data/train/pdd/numina-000535-0000-23ae02dc62b9a092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "23ae02dc62b9a092d496b9aa5822c5fb5f0f28e76528723a88d38dd1376bfcdd"
+    },
+    {
+      "bytes": 87280,
+      "path": "data/internal_test/pdd/numina-000535-0000-782c8819e2e9ea60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "782c8819e2e9ea60caca3a4e7a05c4558910953b2fecc4e3a6e14a39b3127e95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000536.json b/manifests/batches/numina/000536.json
index dd4910266103471c4dab168b70ff6546e4c2896c..9f6a298b8696d10516622370b901c034c73b67e5 100644
--- a/manifests/batches/numina/000536.json
+++ b/manifests/batches/numina/000536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000536",
   "batch_fingerprint": "0d0bc342dd99c3c1ef32622cafe6fd47a41b793b40f28920ecc61945b9ed0c48",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000536-0000-92b0b7a072fdd8e7.parquet",
-      "sha256": "92b0b7a072fdd8e7cec6ce2c21c5ec2cc0f8d84d10d7c6e92943c81fdedee34a",
-      "bytes": 48447,
-      "rows": 12,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000536-0000-48904c8bb1ec1892.parquet",
-      "sha256": "48904c8bb1ec1892800a8c0d16e3d5779fb796b282099d06980fe4e60d078e13",
-      "bytes": 231679,
-      "rows": 12,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07d7667f-8456-50a9-b2a4-4b431b8e627f",
     "numina:2bebdaae-2ac9-5168-a6a6-f1548d127a0c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002682.lean\",\"ca92cfb7977de7d9016659e21930dd3a60c71a548989a20813a2571750651bcd\",0,\"algebra_608905\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002683.lean\",\"0b223d1025ad519429950fbbda1967c9ed4b01cbea4dbfa82dd4643d7f5c5ab9\",0,\"number_theory_608913\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002684.lean\",\"9239d2fcff93eae9d3298ebc172ce5580ba87fec7e6a70ba289a7a1d32d13119\",0,\"combinatorics_608914\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48447,
+      "path": "data/train/paf/numina-000536-0000-92b0b7a072fdd8e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "92b0b7a072fdd8e7cec6ce2c21c5ec2cc0f8d84d10d7c6e92943c81fdedee34a"
+    },
+    {
+      "bytes": 231679,
+      "path": "data/internal_test/paf/numina-000536-0000-48904c8bb1ec1892.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "48904c8bb1ec1892800a8c0d16e3d5779fb796b282099d06980fe4e60d078e13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000537.json b/manifests/batches/numina/000537.json
index 0bd98953d20c356e02fa171ec673437527401545..7ded7fd9f43f7ee25df472d75793bf24bf824a99 100644
--- a/manifests/batches/numina/000537.json
+++ b/manifests/batches/numina/000537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000537",
   "batch_fingerprint": "a627c92f24c3d16f08bf8d41f0383f1ccfe349944494e9f7ccf0248bbd6efa9a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000537-0000-f9184defe81ca2be.parquet",
-      "sha256": "f9184defe81ca2bec826407cc8af4ead9bfdf4e190015119d7e025d63703fbf7",
-      "bytes": 184261,
-      "rows": 15,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000537-0000-5c14a62980561794.parquet",
-      "sha256": "5c14a62980561794e0b663c88f11da97fbe8ebe5baeb1837d070a6d47b068431",
-      "bytes": 44477,
-      "rows": 3,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:699e4b69-ae80-5d83-9329-f2d59c1ab479",
     "numina:91dc32fd-7dab-5c9b-9329-4cb8f6423b82",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002687.lean\",\"459415f690362422d66351f6b38a28ac063139e3e8ce6e7c8738e324fad0810e\",0,\"number_theory_608939\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002688.lean\",\"892113bc4c9d461cf8c67ba547b33849b3e36d4ce0d25c248ca8954eb20c4c49\",0,\"algebra_608941\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002689.lean\",\"0a50292827d03cd88a5e301711974bb26f4310f5e625dcbcddf1ae22960d8ce9\",3,\"final_answer_is_222480_comp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184261,
+      "path": "data/train/p8c/numina-000537-0000-f9184defe81ca2be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f9184defe81ca2bec826407cc8af4ead9bfdf4e190015119d7e025d63703fbf7"
+    },
+    {
+      "bytes": 44477,
+      "path": "data/internal_test/p8c/numina-000537-0000-5c14a62980561794.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5c14a62980561794e0b663c88f11da97fbe8ebe5baeb1837d070a6d47b068431"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000538.json b/manifests/batches/numina/000538.json
index ee9e3fcd46c93464c0341afff5cf3a1e3c0b3085..5a4c7eb7306c23e5d2c221ead171497e7b5e2ffc 100644
--- a/manifests/batches/numina/000538.json
+++ b/manifests/batches/numina/000538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000538",
   "batch_fingerprint": "a8aa5a0ac4e28e579844ff56427c0cd6f335d2099e1e08cc1676398fef41fe5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000538-0000-5d5cfdb1c386c4a7.parquet",
-      "sha256": "5d5cfdb1c386c4a795ec6ada98e7cf03c6ed75076e6a39cacf6c30389499f51d",
-      "bytes": 618448,
-      "rows": 14,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/train/numina-000538-0001-993d17cc98682a90.parquet",
-      "sha256": "993d17cc98682a90bdf46cfd4179a4dc875bc1810a110365ce5458b0a82e55d0",
-      "bytes": 242522,
-      "rows": 41,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0712d1d8-b099-5115-9cc4-5f7a737bbca3",
     "numina:67f25b97-76ee-5f66-b325-690b0b6b9394",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002692.lean\",\"9703a7c28c1410e24fbbc177d6e88a6e49eff6a034ab0a7bbcac1b1b175a54cc\",0,\"combinatorics_608976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002693.lean\",\"28fdcbefa6a994f545b7d82fa82bf31c28ac3ea2023fe3b10a7c8745a227f88b\",0,\"algebra_608991\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002694.lean\",\"d392542cfd233e9ae25b0eb529848a5e9d810e8686f589ac27d410868b9c15dd\",0,\"algebra_608998\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 618448,
+      "path": "data/train/p29/numina-000538-0000-5d5cfdb1c386c4a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5d5cfdb1c386c4a795ec6ada98e7cf03c6ed75076e6a39cacf6c30389499f51d"
+    },
+    {
+      "bytes": 242522,
+      "path": "data/train/p29/numina-000538-0001-993d17cc98682a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "993d17cc98682a90bdf46cfd4179a4dc875bc1810a110365ce5458b0a82e55d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000539.json b/manifests/batches/numina/000539.json
index f75f0e8f9feb5c3893a5b113cd64952fdd1c60fd..0b7c6a8f623d4beb60228c65de570b474007c525 100644
--- a/manifests/batches/numina/000539.json
+++ b/manifests/batches/numina/000539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000539",
   "batch_fingerprint": "65ebeac970110a214f4069b291b2cbfd506e9b4d5fb73737cb08ec1c5d917009",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000539-0000-0f357638c6f6bf1e.parquet",
-      "sha256": "0f357638c6f6bf1e564446ec066ec44faabda4e7185a3763933d97dfb6d944a7",
-      "bytes": 46792,
-      "rows": 6,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000539-0000-90bf907f1ef0652e.parquet",
-      "sha256": "90bf907f1ef0652e840a6d303f157fc9ef3d3c452ba26dfaaeba30ac218d9fd6",
-      "bytes": 140123,
-      "rows": 16,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:644e9d00-ee49-5950-87c1-20b1731f53cd",
     "numina:7328e8bc-b488-5dfc-a133-91fb9f0c7948",
@@ -66,5 +50,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002696.lean\",\"732edbc46771666d57a7a93130ccd76185d08ea6acfaa5d180f1fc8ddcc7ff45\",0,\"number_theory_609021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002697.lean\",\"b1f5237923104b9b9805eaa957a645b99626456e2969cac814b123c5c2fb1315\",2,\"minimal_seats_is_29\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002698.lean\",\"0dd856d433af8b7060f547148a1d5f664e2ed284b7a0d18fd50a10784bda6ef3\",0,\"algebra_10268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46792,
+      "path": "data/train/p22/numina-000539-0000-0f357638c6f6bf1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0f357638c6f6bf1e564446ec066ec44faabda4e7185a3763933d97dfb6d944a7"
+    },
+    {
+      "bytes": 140123,
+      "path": "data/internal_test/p22/numina-000539-0000-90bf907f1ef0652e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "90bf907f1ef0652e840a6d303f157fc9ef3d3c452ba26dfaaeba30ac218d9fd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000540.json b/manifests/batches/numina/000540.json
index 31b2896274220c4568d2d5b1ad733c8f719ef77e..8d6c146dac7a3bbb55011a6296e3c73b57428739 100644
--- a/manifests/batches/numina/000540.json
+++ b/manifests/batches/numina/000540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000540",
   "batch_fingerprint": "27d0a4e673ec4386372b625b263d778354e861024edea9f2d0fcebb8962b5504",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000540-0000-8836232cc67ddd02.parquet",
-      "sha256": "8836232cc67ddd02d247bea6c6844c9e1f6f155f464c82a58de3111c0ef9ad7d",
-      "bytes": 369340,
-      "rows": 45,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b740519-988d-54db-b832-3bca18e6c7e5",
     "numina:58326895-c7d8-5ba3-83bb-2d3a3e6a198f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002702.lean\",\"d27fff395e67012b016ced9c5beda720ad707866034a70aabbcca0f8ed3c52b4\",0,\"algebra_609063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002703.lean\",\"b1851980ab77539272ad92ec2c3404fa071566b8721b89f5c60f6989388b3160\",0,\"Combinatorics_609066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002704.lean\",\"2712cf53a804bf36adbc8ec89e27d118445d4b740ee9a1cd8fcfb5e307073f2c\",0,\"combinatorics_609069_derived\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369340,
+      "path": "data/train/p5b/numina-000540-0000-8836232cc67ddd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "8836232cc67ddd02d247bea6c6844c9e1f6f155f464c82a58de3111c0ef9ad7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000541.json b/manifests/batches/numina/000541.json
index 5247db9a102de48c91383581396aaaf7076b9308..ea228ebbe6e06cd5b61ecf05777c050b2892d270 100644
--- a/manifests/batches/numina/000541.json
+++ b/manifests/batches/numina/000541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000541",
   "batch_fingerprint": "a544fb41c508ec870cb656c4696c64b1aec171a083b5f6c412135c86667363e2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000541-0000-dbe8fcb013035536.parquet",
-      "sha256": "dbe8fcb01303553631c515c94977a551cb18188da809d7d743b7564ec352f8c6",
-      "bytes": 566011,
-      "rows": 54,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2116f144-7fda-5167-bafe-f6bbe6840b8a",
     "numina:3a43afe7-0035-538c-be5d-052682749f74",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002707.lean\",\"cfc4dc8ece41bbcefe429002994acce31def223bcba4fc3fe3c157274dd0deda\",0,\"number_theory_609075\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002708.lean\",\"5e913c214dcd73f9013ac9713acd9f8ab84f925396f15c015d66c9a05fec503d\",6,\"algebra_609078\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002709.lean\",\"23f11d98a2a0b1691eab245e23298c990c4b3e7d58226529b9af57d02709f6d6\",0,\"algebra_609081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 566011,
+      "path": "data/train/p25/numina-000541-0000-dbe8fcb013035536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "dbe8fcb01303553631c515c94977a551cb18188da809d7d743b7564ec352f8c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000542.json b/manifests/batches/numina/000542.json
index df5afb9a863dafd2111bf9b7fa0610e59f856bc4..7143b2cb2ef0a3770cfa55e0885d5981943b88f8 100644
--- a/manifests/batches/numina/000542.json
+++ b/manifests/batches/numina/000542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000542",
   "batch_fingerprint": "e50bb0606ae3ff29cce5f3cea1f5c698f6638f94b4a325ae60822c04e0a910d2",
   "evidence": {
@@ -74,15 +73,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000542-0000-87f6110b4911fa91.parquet",
-      "sha256": "87f6110b4911fa91642208a86909df931dbedccb79bd5e11c79a9fe19503dc9a",
-      "bytes": 170127,
-      "rows": 11,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38bca082-a4a5-5254-b9a1-77242417ae2c",
     "numina:9cf2e7ab-97a3-555b-8fde-9891f487a7a3"
@@ -90,5 +81,14 @@
   "proof_keys": [
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002710.lean\",\"eced8ad6ccb3e7ef98dbd6170303e9cf7cd8a0e00350ffe4f93bb8d999e95c5a\",0,\"combinatorics_609083\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002713.lean\",\"6e7d39780494cf71183ade08ce9f079b0e9a93c080e4519dcbd5867c72e36fa7\",0,\"combinatorics_609112\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170127,
+      "path": "data/train/p4e/numina-000542-0000-87f6110b4911fa91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "87f6110b4911fa91642208a86909df931dbedccb79bd5e11c79a9fe19503dc9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000543.json b/manifests/batches/numina/000543.json
index 4110db8b2f95e66acd43a0e9bd392248fe0901d3..e79fa471e66671a34fcf474da5e9ed07b0f708cd 100644
--- a/manifests/batches/numina/000543.json
+++ b/manifests/batches/numina/000543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000543",
   "batch_fingerprint": "9d8bd17790d97b68728216e7d85279ec17ae600880df4371b648a68afac17a9c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000543-0000-910099bcb80299ba.parquet",
-      "sha256": "910099bcb80299ba7c2d0da31e27cd7be96534a1a2d3baeb210df3caf2c22e88",
-      "bytes": 376600,
-      "rows": 16,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000543-0000-64b384789a4910e1.parquet",
-      "sha256": "64b384789a4910e1440039aeafae418b2f5f131046a363f7e3fd536f641a1a55",
-      "bytes": 37673,
-      "rows": 2,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:117a942e-7400-5933-8edc-27a988be730f",
     "numina:1eeb00de-a635-5488-86e0-71b37fc84476",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002717.lean\",\"765a432f7e5d0623969e8717e354185a84daafd373606a2a4b695acfc5ea4fb5\",1,\"combinatorics_609149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002718.lean\",\"fc58b079dc6af6fb39fb17a44b7430ae2bda740dcbe07a123cda8286df758450\",4,\"combinatorics_609150\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002719.lean\",\"c296fc7b039c6cf5e7c50f276eb4fe097ed78cab06309fbda1c3251fded250cb\",0,\"number_theory_609540\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376600,
+      "path": "data/train/p0d/numina-000543-0000-910099bcb80299ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "910099bcb80299ba7c2d0da31e27cd7be96534a1a2d3baeb210df3caf2c22e88"
+    },
+    {
+      "bytes": 37673,
+      "path": "data/internal_test/p0d/numina-000543-0000-64b384789a4910e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "64b384789a4910e1440039aeafae418b2f5f131046a363f7e3fd536f641a1a55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000544.json b/manifests/batches/numina/000544.json
index 19fbef9ff48b50454cae1dce6d254c71605220d0..405fbb4f0460d74e1860d4d6d17384551fac35bd 100644
--- a/manifests/batches/numina/000544.json
+++ b/manifests/batches/numina/000544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000544",
   "batch_fingerprint": "6cef762ece9bbd6ffd9c6c3b9a6078551cdd0682021a1a1bdfa09eccefc19697",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000544-0000-0082930e3d86ebd0.parquet",
-      "sha256": "0082930e3d86ebd086515893fee1998cf9005c8047a25a5a56b6a82f56f914e6",
-      "bytes": 73617,
-      "rows": 8,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/dev/numina-000544-0000-799de42fea9d68ed.parquet",
-      "sha256": "799de42fea9d68ed314531fdabebaa7d818db24d4318d90d944f7342a0709aee",
-      "bytes": 32895,
-      "rows": 4,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000544-0000-2ae188f9e4328e22.parquet",
-      "sha256": "2ae188f9e4328e22aca67cd8522b3d1bb6ea2bfdba5ce8ef58b67927670a2051",
-      "bytes": 28663,
-      "rows": 2,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28619230-152c-54bd-95c7-4d93d573e9d0",
     "numina:51dd08d5-ac62-5633-bf7c-edff6135311b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002722.lean\",\"3d083c47ea374b984467c27b0c69d322b07c53cef4d4a459dcbed3ffa2f4613a\",0,\"Logic_theory_612345\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002723.lean\",\"beffef969b52fdafc49ffa0fd579891f16c985d1b48bc96543a9dccad565e396\",0,\"algebra_609164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002724.lean\",\"c9af12d3a23251189ac71bd74db1a08c28e72b4f1126afb60d1717abb0fbb29e\",0,\"number_theory_609165\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73617,
+      "path": "data/train/pf1/numina-000544-0000-0082930e3d86ebd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0082930e3d86ebd086515893fee1998cf9005c8047a25a5a56b6a82f56f914e6"
+    },
+    {
+      "bytes": 32895,
+      "path": "data/dev/pf1/numina-000544-0000-799de42fea9d68ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "799de42fea9d68ed314531fdabebaa7d818db24d4318d90d944f7342a0709aee"
+    },
+    {
+      "bytes": 28663,
+      "path": "data/internal_test/pf1/numina-000544-0000-2ae188f9e4328e22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2ae188f9e4328e22aca67cd8522b3d1bb6ea2bfdba5ce8ef58b67927670a2051"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000545.json b/manifests/batches/numina/000545.json
index 1df0228059739ace80c70bb9341165660b571b2f..40f743a9244eaec3065c07e888cd5d60fb0a77ac 100644
--- a/manifests/batches/numina/000545.json
+++ b/manifests/batches/numina/000545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000545",
   "batch_fingerprint": "48b52a4d7dde83bc43cc808d97df5ee042cbdcef122ca98925e5fdc45b9dfd1d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000545-0000-6f031b0328037d51.parquet",
-      "sha256": "6f031b0328037d51ea9ff15892187283d785dc1396a1d26fb30c394242496d92",
-      "bytes": 481345,
-      "rows": 48,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000545-0000-c668549b24f15b91.parquet",
-      "sha256": "c668549b24f15b918087ad81b18ff38bd5ed7270b8d56b0f9616c40acc5554a8",
-      "bytes": 43300,
-      "rows": 7,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6ef0b690-10db-552c-9abe-b3ee1a5e46e5",
     "numina:d6a8893d-8104-5252-9eac-7cd80ecdae8a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002727.lean\",\"e4b9569d80b280fc3abd1ee33d8986d98e6739a2a9b458604c68a0b9d4013777\",0,\"algebra_609182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002728.lean\",\"7df3d425f7ca89c951b05081f9ac9e2befc9a9f0d9c8365caffe4a17f7e6cbc6\",0,\"number_theory_609191\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002729.lean\",\"ca011dd4aa5f747cf3966e4f9a85c3b649d4d525b854cf371052b4fba738937c\",0,\"algebra_609199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 481345,
+      "path": "data/train/p23/numina-000545-0000-6f031b0328037d51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "6f031b0328037d51ea9ff15892187283d785dc1396a1d26fb30c394242496d92"
+    },
+    {
+      "bytes": 43300,
+      "path": "data/internal_test/p23/numina-000545-0000-c668549b24f15b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c668549b24f15b918087ad81b18ff38bd5ed7270b8d56b0f9616c40acc5554a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000546.json b/manifests/batches/numina/000546.json
index 4d7c96f5b131f5d08417ce04b5452edd21c2af69..10e2d66411f4065439e2798666fc16f993211453 100644
--- a/manifests/batches/numina/000546.json
+++ b/manifests/batches/numina/000546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000546",
   "batch_fingerprint": "30712585687bdc79d6294851d31de3f9d15aabd6fe9190c4f62c4722c9872573",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000546-0000-561b440c194a3a46.parquet",
-      "sha256": "561b440c194a3a4688551e85b73d9624b2f32b080aadda54fa8754a35507bf76",
-      "bytes": 851731,
-      "rows": 63,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/train/numina-000546-0001-8899060138ea0388.parquet",
-      "sha256": "8899060138ea03889254c301553247cbf31e26d787ada1a76272ec3032861335",
-      "bytes": 175751,
-      "rows": 3,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24f3dbe7-a7b3-57b1-8803-62b1089fbf40",
     "numina:26976e03-0c87-54ea-8d59-53ff96b2bc0d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002732.lean\",\"aee27a7e55e3b9d77132e0283e17fed6f58c48c4f442ab6961bd61e74aff6a96\",0,\"algebra_609213\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002733.lean\",\"021e4b967fba8dcf1ead5c898cf371da46a3e7d949d8bd3990921338d2d54b5e\",0,\"algebra_609214\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002734.lean\",\"1c092d2c61197c71646f5a8ccfc49560b1fc22f15447ae7aa642b4491ce769e5\",0,\"combinatorics_609221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 851731,
+      "path": "data/train/p90/numina-000546-0000-561b440c194a3a46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "561b440c194a3a4688551e85b73d9624b2f32b080aadda54fa8754a35507bf76"
+    },
+    {
+      "bytes": 175751,
+      "path": "data/train/p90/numina-000546-0001-8899060138ea0388.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8899060138ea03889254c301553247cbf31e26d787ada1a76272ec3032861335"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000547.json b/manifests/batches/numina/000547.json
index e557f57df48f39115f592007c6251019bc457369..fe0f9ad958d14560e732fe774c959712d8aa2bc3 100644
--- a/manifests/batches/numina/000547.json
+++ b/manifests/batches/numina/000547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000547",
   "batch_fingerprint": "155f6f553dc53378ba3f31fbbfc7fb14522575dfb99ef24ee76fe81e5484b05a",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2116d55a-e26e-5c3f-837b-887309c2ae5f",
+    "numina:acb9bf5c-d0e3-51bf-a04b-8d27b51756b2",
+    "numina:b1c46a2b-7634-5ec1-b9af-9ee9a8c5a14c",
+    "numina:bd94bff9-34ea-5fbe-801a-15f47a0ec8c0"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002735.lean\",\"8d3b231cdb158b257f98e404bddd5a408f326fb427902c70979041cfe7161abe\",0,\"combinatorics_609222\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002736.lean\",\"cef137061625fc58ba0948a727d6423016e4297e15f94096a860e834afd56704\",6,\"combinatorics_609223\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002737.lean\",\"fec5cb1955c8cb3d7e5eeac90ae243501f6eec211ed3003077c9aa0e3c1cf007\",0,\"geometry_609231\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002739.lean\",\"44d99b05d24740ad4d24a022428764800e75be32bbb50f0c2cb56379db9e7f03\",0,\"combinatorics_609245\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000547-0000-e8289171dc18eb1a.parquet",
-      "sha256": "e8289171dc18eb1af936888fd2cc6baf9579270ef76c5eeb5d96a65c288a131d",
       "bytes": 57780,
+      "path": "data/train/pc2/numina-000547-0000-e8289171dc18eb1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "e8289171dc18eb1af936888fd2cc6baf9579270ef76c5eeb5d96a65c288a131d"
     },
     {
-      "path": "data/dev/numina-000547-0000-f91197d2f701072d.parquet",
-      "sha256": "f91197d2f701072da597fe22d23faf6549e5fa1ce256ba8ac39c590cf8d9012c",
       "bytes": 28709,
+      "path": "data/dev/pc2/numina-000547-0000-f91197d2f701072d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "f91197d2f701072da597fe22d23faf6549e5fa1ce256ba8ac39c590cf8d9012c"
     },
     {
-      "path": "data/internal_test/numina-000547-0000-5bc0912836efd1bb.parquet",
-      "sha256": "5bc0912836efd1bb51677075ca7cb4740f18817f4194c1d7be680bb662cec37b",
       "bytes": 256299,
+      "path": "data/internal_test/pc2/numina-000547-0000-5bc0912836efd1bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
+      "sha256": "5bc0912836efd1bb51677075ca7cb4740f18817f4194c1d7be680bb662cec37b"
     }
-  ],
-  "proof_ids": [
-    "numina:2116d55a-e26e-5c3f-837b-887309c2ae5f",
-    "numina:acb9bf5c-d0e3-51bf-a04b-8d27b51756b2",
-    "numina:b1c46a2b-7634-5ec1-b9af-9ee9a8c5a14c",
-    "numina:bd94bff9-34ea-5fbe-801a-15f47a0ec8c0"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002735.lean\",\"8d3b231cdb158b257f98e404bddd5a408f326fb427902c70979041cfe7161abe\",0,\"combinatorics_609222\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002736.lean\",\"cef137061625fc58ba0948a727d6423016e4297e15f94096a860e834afd56704\",6,\"combinatorics_609223\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002737.lean\",\"fec5cb1955c8cb3d7e5eeac90ae243501f6eec211ed3003077c9aa0e3c1cf007\",0,\"geometry_609231\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002739.lean\",\"44d99b05d24740ad4d24a022428764800e75be32bbb50f0c2cb56379db9e7f03\",0,\"combinatorics_609245\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000548.json b/manifests/batches/numina/000548.json
index 5cfcaf4ad07d44a7d78af9b7506c3d7e190cc7fb..f70af738ab6b641e734fed87458231d9280c7fe2 100644
--- a/manifests/batches/numina/000548.json
+++ b/manifests/batches/numina/000548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000548",
   "batch_fingerprint": "feeee08f4e42a134c29f211a4616996a9861f3f81d3cee5bed9495547a71cadb",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000548-0000-405e7ad5e84518a6.parquet",
-      "sha256": "405e7ad5e84518a6cd33a7d73baea24e972ab6dfd5478c7b3372682beb01303f",
-      "bytes": 62759,
-      "rows": 3,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000548-0000-eb867b58034d1682.parquet",
-      "sha256": "eb867b58034d16823af708745744b801cd804dcca4da9603096e73f06ca60053",
-      "bytes": 35891,
-      "rows": 2,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4050e216-0619-56f6-80ba-254340240fe9",
     "numina:938ce06b-bb5a-5f69-8cc0-fc57c9b9f1db",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002742.lean\",\"6876af054ff58d1df8fe05052180d16e26d0f5472b14ba46784c6a88c0ec80ef\",0,\"number_theory_609291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002743.lean\",\"2f5375e082badcd831beb635862f216925067cb6b13788e86d3ab07c23d7a1f3\",0,\"combinatorics_609295\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002744.lean\",\"00e2dfea6755f36bebf4092a05712142d676ba36fe02b4f99ab76d2da51ba6de\",0,\"algebra_609296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62759,
+      "path": "data/train/pc4/numina-000548-0000-405e7ad5e84518a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "405e7ad5e84518a6cd33a7d73baea24e972ab6dfd5478c7b3372682beb01303f"
+    },
+    {
+      "bytes": 35891,
+      "path": "data/internal_test/pc4/numina-000548-0000-eb867b58034d1682.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eb867b58034d16823af708745744b801cd804dcca4da9603096e73f06ca60053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000549.json b/manifests/batches/numina/000549.json
index 86e09cfd98e52f94534028bcc208326457ae4b21..330cb73a7c21e2a2c5741ce1ca63e25f11dea660 100644
--- a/manifests/batches/numina/000549.json
+++ b/manifests/batches/numina/000549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000549",
   "batch_fingerprint": "3c3f8105875dd345f270b47bff1e33cdfdf75f3e76b46c70ccca8e02911c75b5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000549-0000-1073f11301135bfa.parquet",
-      "sha256": "1073f11301135bfaec66d4d2b4bcff31184931b5e5b9ea728af1cf90d3f73a8a",
-      "bytes": 58775,
-      "rows": 8,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    },
-    {
-      "path": "data/internal_test/numina-000549-0000-4de2beae8516ad02.parquet",
-      "sha256": "4de2beae8516ad029d6249a12bb199f7878b15b4a8a619185f99d05080207048",
-      "bytes": 38678,
-      "rows": 7,
-      "revision": "e89d2d5409535a04afd22f4eb0d0562539baf94a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dd0a9d0-cc4a-5626-a831-d5312d59d65a",
     "numina:13ef983f-6591-5a0d-9ed8-dbb1f958b8c7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002747.lean\",\"cd2f18ed9bb599485cf0ca0a97976f2c2ec61f3a08ae5cd674ac88f63a849fb1\",0,\"algebra_609303\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002748.lean\",\"5da6f79887beb9c7849e32acf654fa5ec1db0378df2a97f8753db1f88f745ca3\",0,\"algebra_609306\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002749.lean\",\"4d3205a0d24cd446cb7c61525979faa56f2f42f8de6681221ba02807261ee0ad\",0,\"number_theory_609310\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58775,
+      "path": "data/train/p65/numina-000549-0000-1073f11301135bfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1073f11301135bfaec66d4d2b4bcff31184931b5e5b9ea728af1cf90d3f73a8a"
+    },
+    {
+      "bytes": 38678,
+      "path": "data/internal_test/p65/numina-000549-0000-4de2beae8516ad02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4de2beae8516ad029d6249a12bb199f7878b15b4a8a619185f99d05080207048"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000550.json b/manifests/batches/numina/000550.json
index 55cb19c800c392d3ff173a14855c93d98688bc36..a5a38944abcda28ab833c26a931a944fcd514063 100644
--- a/manifests/batches/numina/000550.json
+++ b/manifests/batches/numina/000550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000550",
   "batch_fingerprint": "2c617835390f5218514d3759c90e94982642c8941026c344e76be25830933d39",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000550-0000-e8206f6d4e8439a3.parquet",
-      "sha256": "e8206f6d4e8439a38139d5503ac0641035cf1fdaf378219202db13e6eb896ece",
-      "bytes": 108984,
-      "rows": 20,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000550-0000-40905fb562dc4429.parquet",
-      "sha256": "40905fb562dc4429542dd1e517004fa87c251c2cf81cacd8c6bfe66377fd391f",
-      "bytes": 197988,
-      "rows": 4,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29bae572-3b06-53a9-9dbd-405789ce233c",
     "numina:475d31a9-6d7d-58fc-a5ff-43305a5aeaf2",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002752.lean\",\"e3c14fcc1be84356e4ce397c8a2ff76dee63ebc056bace0bfd0a2d304d62c8b8\",0,\"algebra_609326\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002753.lean\",\"d8f3a90fcbc3b027b5bbade827605b5b56a94a9c425211922d3bced1922e5573\",0,\"algebra_609330\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002754.lean\",\"a8f55034a9dd69630ea03c2c89df4960caf2281c2ac553b35562f4e62dbdafe0\",0,\"number_theory_609335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108984,
+      "path": "data/train/p71/numina-000550-0000-e8206f6d4e8439a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e8206f6d4e8439a38139d5503ac0641035cf1fdaf378219202db13e6eb896ece"
+    },
+    {
+      "bytes": 197988,
+      "path": "data/internal_test/p71/numina-000550-0000-40905fb562dc4429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "40905fb562dc4429542dd1e517004fa87c251c2cf81cacd8c6bfe66377fd391f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000551.json b/manifests/batches/numina/000551.json
index 59db3f39cef9703cdebbd7051a630bb7143e75a1..a2c0712b5e7b16db90a818de8c43594a29747c69 100644
--- a/manifests/batches/numina/000551.json
+++ b/manifests/batches/numina/000551.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000551",
   "batch_fingerprint": "86f95ee546bdf35076fcb96dc4ef52cde2006bcc6f7d1841aad534949e6eaafd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000551-0000-5df27d30614bde64.parquet",
-      "sha256": "5df27d30614bde643b0995f826ffdaf25cf80aeee0d4f1f790bd6e263acdbb9b",
-      "bytes": 437271,
-      "rows": 74,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2e1cb5da-6a53-5e07-b95a-563572b62e02",
     "numina:39b83a3f-159d-515b-b859-dd82701d4123",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002757.lean\",\"1b01f0c6f10b77b2a4fbe1d6e8acb5477103878a1a8176bb3f77184523de0fda\",0,\"Combinatorics_609347\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002758.lean\",\"4c7902e0e2c1adbb0c270c3ec2b258559fdac5fbd92d342fc5fc92dcdf668534\",0,\"geometry_609352\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002759.lean\",\"85aa15fabe9b1230c4f6f8529dee7013b8b6016a83c4978bcc45e3b4477d8c62\",0,\"algebra_609355\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 437271,
+      "path": "data/train/p01/numina-000551-0000-5df27d30614bde64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "5df27d30614bde643b0995f826ffdaf25cf80aeee0d4f1f790bd6e263acdbb9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000552.json b/manifests/batches/numina/000552.json
index f68bc2da1641311a0963751eefd959c8aa6f3959..8d577dd6b3b5b4f137797f0fdeea2678227de2f0 100644
--- a/manifests/batches/numina/000552.json
+++ b/manifests/batches/numina/000552.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000552",
   "batch_fingerprint": "41c24f5ef36065297322f8d2ee04313699152251653cda88a71565347d99556e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000552-0000-aefce792c8c23365.parquet",
-      "sha256": "aefce792c8c233659c9042d79a5f27a7417f645cb8c2a2ca5786d30d6d7c6a20",
-      "bytes": 104737,
-      "rows": 14,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/dev/numina-000552-0000-58a39d9577e2711b.parquet",
-      "sha256": "58a39d9577e2711b0198e703831ff6f46a0f7b96d8d512fcaccca89b5bf6d9d5",
-      "bytes": 495710,
-      "rows": 4,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:008bea1b-6173-5d66-b7e3-e27e52038f82",
     "numina:2f3fc209-5650-5a6f-a780-da16afd45fa9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002762.lean\",\"3b98fec4d3487b816f14b8679b5c5379a16053ebc864c461890125ec9c9cdc08\",0,\"Combinatorics_609366\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002763.lean\",\"88ab10369d11d1ef8035ab7b5b96ac52056cbd350d690dbaa12e365d7a753f12\",0,\"number_theory_609371\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002764.lean\",\"5dc72eac24fae1ed600544012e273acf620ba0637bf7b8a47fe59d1de7d22a46\",0,\"combinatorics_609372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104737,
+      "path": "data/train/pfe/numina-000552-0000-aefce792c8c23365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "aefce792c8c233659c9042d79a5f27a7417f645cb8c2a2ca5786d30d6d7c6a20"
+    },
+    {
+      "bytes": 495710,
+      "path": "data/dev/pfe/numina-000552-0000-58a39d9577e2711b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "58a39d9577e2711b0198e703831ff6f46a0f7b96d8d512fcaccca89b5bf6d9d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000553.json b/manifests/batches/numina/000553.json
index 18763f27127cfedd6ad3ae676024c0c498803512..0be28c47e3db1034362dcd98290285a55916c3ed 100644
--- a/manifests/batches/numina/000553.json
+++ b/manifests/batches/numina/000553.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000553",
   "batch_fingerprint": "3c1d74d3e098aa2ebcfd9c1d272eab36532280328c3c0b1e548fe690313cccc9",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0c4688b6-4d04-5081-a9ee-05a869efbc5d",
+    "numina:13e45de9-28cc-545d-aefa-839ae3e5427c",
+    "numina:5655c9dc-23f0-545c-a206-38a340c2eed6",
+    "numina:79465ba7-18c0-54ae-a812-9d7cc5620a81",
+    "numina:ccd5f983-c06d-5558-b62f-bfe461053abf"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002765.lean\",\"57fda682fc0fae06d9238efb615e46f856f18a6cd5bdec3a0fcb68a3a9044388\",0,\"Combinatorics_609387\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002766.lean\",\"4a90eadb3e2b6d0431f5e9910d4244193ca96e02ae74df70a6b044e3b3737cd6\",0,\"my_favorite_theorem\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002767.lean\",\"b37b60b58249246911fa0b4314caf41fa81d473ea71ec53641217acb8f0a0273\",0,\"algebra_609390\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002768.lean\",\"8758550d23afb5632e39caace7792ee827f44c85af04f4cc3f727dccb37b86c8\",0,\"number_theory_609393\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002769.lean\",\"d7d2f14d4204701000b4a48db344b81c704897ead3feb1778cd8ffdef8f4b2a8\",4,\"number_theory_609403\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000553-0000-794ce5d0935bf252.parquet",
-      "sha256": "794ce5d0935bf252cc381195ad51bbf55467db5e59cb5d9803e7f2f02ba15480",
       "bytes": 544422,
+      "path": "data/train/p36/numina-000553-0000-794ce5d0935bf252.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
+      "sha256": "794ce5d0935bf252cc381195ad51bbf55467db5e59cb5d9803e7f2f02ba15480"
     },
     {
-      "path": "data/dev/numina-000553-0000-802ec63d0bd8aa62.parquet",
-      "sha256": "802ec63d0bd8aa62b4a526b61a49cede2cdf7f31a80a9d31157da2737bae2740",
       "bytes": 237414,
+      "path": "data/dev/p36/numina-000553-0000-802ec63d0bd8aa62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
+      "sha256": "802ec63d0bd8aa62b4a526b61a49cede2cdf7f31a80a9d31157da2737bae2740"
     },
     {
-      "path": "data/dev/numina-000553-0001-7ac68076f8466e9f.parquet",
-      "sha256": "7ac68076f8466e9fe1aa085d349ccdc3291658eecb93e09bb0f5b40d3f137eef",
       "bytes": 721739,
+      "path": "data/dev/p36/numina-000553-0001-7ac68076f8466e9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
+      "sha256": "7ac68076f8466e9fe1aa085d349ccdc3291658eecb93e09bb0f5b40d3f137eef"
     },
     {
-      "path": "data/internal_test/numina-000553-0000-a015857933daffc8.parquet",
-      "sha256": "a015857933daffc8d562c04edca7b350374cf7721c7e157ae5808964b067d04f",
       "bytes": 40334,
+      "path": "data/internal_test/p36/numina-000553-0000-a015857933daffc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
+      "sha256": "a015857933daffc8d562c04edca7b350374cf7721c7e157ae5808964b067d04f"
     }
-  ],
-  "proof_ids": [
-    "numina:0c4688b6-4d04-5081-a9ee-05a869efbc5d",
-    "numina:13e45de9-28cc-545d-aefa-839ae3e5427c",
-    "numina:5655c9dc-23f0-545c-a206-38a340c2eed6",
-    "numina:79465ba7-18c0-54ae-a812-9d7cc5620a81",
-    "numina:ccd5f983-c06d-5558-b62f-bfe461053abf"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002765.lean\",\"57fda682fc0fae06d9238efb615e46f856f18a6cd5bdec3a0fcb68a3a9044388\",0,\"Combinatorics_609387\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002766.lean\",\"4a90eadb3e2b6d0431f5e9910d4244193ca96e02ae74df70a6b044e3b3737cd6\",0,\"my_favorite_theorem\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002767.lean\",\"b37b60b58249246911fa0b4314caf41fa81d473ea71ec53641217acb8f0a0273\",0,\"algebra_609390\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002768.lean\",\"8758550d23afb5632e39caace7792ee827f44c85af04f4cc3f727dccb37b86c8\",0,\"number_theory_609393\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002769.lean\",\"d7d2f14d4204701000b4a48db344b81c704897ead3feb1778cd8ffdef8f4b2a8\",4,\"number_theory_609403\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000554.json b/manifests/batches/numina/000554.json
index 3263f85a3e3eafdd56b85cd789f7e2720f7d3dd5..7c4f5b5d4944577137fc2d31515cd5e9941a4ef9 100644
--- a/manifests/batches/numina/000554.json
+++ b/manifests/batches/numina/000554.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000554",
   "batch_fingerprint": "b6f3c7587608b78e34bec99a3570c46176ddc6c3a08d32a218f281123b9156bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000554-0000-c54e6e9a48f84477.parquet",
-      "sha256": "c54e6e9a48f84477c5cd65f61d1254a914ddac86938e6a223186a5995cc02041",
-      "bytes": 63336,
-      "rows": 9,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/dev/numina-000554-0000-b2804ac2b84d7577.parquet",
-      "sha256": "b2804ac2b84d75776a1ae6e4a8ca57be9973b86deb657565277fcafcc9bf843f",
-      "bytes": 45618,
-      "rows": 7,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:64147744-507b-5976-83a5-aa133e5b4646",
     "numina:7919920b-6fd0-5e15-ae78-964713bd09b2",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002772.lean\",\"af4078ef080ad5fcd61d75a0521beefef9528af1075e157a214453ac74cfb48a\",3,\"number_theory_609419\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002773.lean\",\"4da97de466d0000246689884ef35ab839c8b5009844b5fe8bcdece5cf1faeb3c\",0,\"algebra_609436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002774.lean\",\"848d545233f932225c71f497ac35c559ee594268a0e842b56b454d3d6e11e50c\",0,\"combinatorics_609441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63336,
+      "path": "data/train/p65/numina-000554-0000-c54e6e9a48f84477.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c54e6e9a48f84477c5cd65f61d1254a914ddac86938e6a223186a5995cc02041"
+    },
+    {
+      "bytes": 45618,
+      "path": "data/dev/p65/numina-000554-0000-b2804ac2b84d7577.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b2804ac2b84d75776a1ae6e4a8ca57be9973b86deb657565277fcafcc9bf843f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000555.json b/manifests/batches/numina/000555.json
index 96bd5dc4a913cf4c104adbca7bbcd1580ca3c3ff..594638af90d596adc06aaeb17dc8814fad538e0f 100644
--- a/manifests/batches/numina/000555.json
+++ b/manifests/batches/numina/000555.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000555",
   "batch_fingerprint": "9ab9e457031d0a0bbd18b2d24f76c48746daaee7936d1e01fc52d0033ab43d2c",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000555-0000-c7551c9106c0fe39.parquet",
-      "sha256": "c7551c9106c0fe3918b08c7665160a039b13ad0088e84d3aca8407ec076c98c2",
-      "bytes": 465537,
-      "rows": 17,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/train/numina-000555-0001-a7114006c458caca.parquet",
-      "sha256": "a7114006c458caca04d6ae86d03c734935a460cc92e3f2d239666ae8af34f08e",
-      "bytes": 71813,
-      "rows": 2,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/dev/numina-000555-0000-9b177b1625216ef7.parquet",
-      "sha256": "9b177b1625216ef7a6f67ac4ad70f028dda4c799564093b41817821484f0e27c",
-      "bytes": 515974,
-      "rows": 26,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c525679-8d54-5378-956f-74b5988e92e9",
     "numina:1dbdf9be-eb59-5278-bd4e-48c98e025172",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002777.lean\",\"1ccacf277b61af6af9804b22cda5af360679b18076dd17b0e6b360d266f0482c\",0,\"combinatorics_609459\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002778.lean\",\"fe77133e485ea63a46a2639480b4a0af93114d57e866d267ce1f7f27fb7a8a82\",0,\"Combinatorics_609461\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002779.lean\",\"0d74fa3ced21797ec475b58260d35170cdfa5cbd43d05dd8da5ae692a97cf7c2\",0,\"algebra_609462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465537,
+      "path": "data/train/p94/numina-000555-0000-c7551c9106c0fe39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c7551c9106c0fe3918b08c7665160a039b13ad0088e84d3aca8407ec076c98c2"
+    },
+    {
+      "bytes": 71813,
+      "path": "data/train/p94/numina-000555-0001-a7114006c458caca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a7114006c458caca04d6ae86d03c734935a460cc92e3f2d239666ae8af34f08e"
+    },
+    {
+      "bytes": 515974,
+      "path": "data/dev/p94/numina-000555-0000-9b177b1625216ef7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "9b177b1625216ef7a6f67ac4ad70f028dda4c799564093b41817821484f0e27c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000556.json b/manifests/batches/numina/000556.json
index 199c1d1bff40c601a06667b610f0b519ba992b7b..4d26aea9ac4e3a18e2ea7a80a5b0ae2a36baab49 100644
--- a/manifests/batches/numina/000556.json
+++ b/manifests/batches/numina/000556.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000556",
   "batch_fingerprint": "ada7df0e19bc9691546edc40fb20297029b4d3ae693ad6320edffceb1c23d991",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000556-0000-9e3b1c2805c45326.parquet",
-      "sha256": "9e3b1c2805c4532671fe326ad48e69aaa128819ffde893244c3aa4b67d109a88",
-      "bytes": 169522,
-      "rows": 23,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/dev/numina-000556-0000-805f97b555dff32d.parquet",
-      "sha256": "805f97b555dff32d8b93c90c3b73e84195a4f57bd762e043cceefcb038a85ebd",
-      "bytes": 97393,
-      "rows": 15,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000556-0000-060ed8f4393b9049.parquet",
-      "sha256": "060ed8f4393b9049dc2724efd7214e8bf18c2ffb2c1715b51171fe5e6fc62218",
-      "bytes": 254549,
-      "rows": 3,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0deb7368-b33d-5c46-822d-14f86df9bc4f",
     "numina:52dd3dae-5401-52f6-98ed-2703783b9f29",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002782.lean\",\"f7fd2e340e0eb5cf3c4d477f21940da8423ab5818ec82e27a200bf35f69bf93d\",0,\"number_theory_609479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002783.lean\",\"e07ab8dc420ca7c39bfb0ee89738880c8ce5575604b42c32e538618c25010839\",3,\"combinatorics_609491\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002784.lean\",\"b78b630dd96f6b7665f66a5fdfb697092d9f89c144f92cac0471b2fe8cadc0a8\",0,\"algebra_609495\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169522,
+      "path": "data/train/pde/numina-000556-0000-9e3b1c2805c45326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "9e3b1c2805c4532671fe326ad48e69aaa128819ffde893244c3aa4b67d109a88"
+    },
+    {
+      "bytes": 97393,
+      "path": "data/dev/pde/numina-000556-0000-805f97b555dff32d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "805f97b555dff32d8b93c90c3b73e84195a4f57bd762e043cceefcb038a85ebd"
+    },
+    {
+      "bytes": 254549,
+      "path": "data/internal_test/pde/numina-000556-0000-060ed8f4393b9049.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "060ed8f4393b9049dc2724efd7214e8bf18c2ffb2c1715b51171fe5e6fc62218"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000557.json b/manifests/batches/numina/000557.json
index a309754b907d4f4efa87a39a07c6004075808526..05b84a77be592e1760d587e15640856ca49b616b 100644
--- a/manifests/batches/numina/000557.json
+++ b/manifests/batches/numina/000557.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000557",
   "batch_fingerprint": "72686f570fbd32dca3b87485143f4a541b34a41308bab8703e171427df52e339",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000557-0000-82725acc11e44020.parquet",
-      "sha256": "82725acc11e440200a681d9777da165ca6252cb7c9d1b83d1c92406b3f9e1025",
-      "bytes": 102995,
-      "rows": 21,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000557-0000-49ef0920a58a1e60.parquet",
-      "sha256": "49ef0920a58a1e605b74ab993de992002ecce6c1efc199d524c6d5dade90bc2f",
-      "bytes": 82715,
-      "rows": 8,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:50b98a3b-e5ca-59df-8517-0f160acaf7c4",
     "numina:676b4573-adf6-5052-b26e-c5430d80b110",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002787.lean\",\"a7f9e75efad13df0d2edaad6a7d384ee651f58eb891027734570e71154250b10\",0,\"algebra_609504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002788.lean\",\"cabb9d1d839c541846f6be2f8b969e43104056182fd75d4926b31c6f68352f3e\",0,\"Number_Theory_609507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002789.lean\",\"760fa87a39afe16757c8f99ccc4a0d4fa9f17c2bd919cf9f307c9e69de97bee2\",0,\"algebra_609525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102995,
+      "path": "data/train/pf7/numina-000557-0000-82725acc11e44020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "82725acc11e440200a681d9777da165ca6252cb7c9d1b83d1c92406b3f9e1025"
+    },
+    {
+      "bytes": 82715,
+      "path": "data/internal_test/pf7/numina-000557-0000-49ef0920a58a1e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "49ef0920a58a1e605b74ab993de992002ecce6c1efc199d524c6d5dade90bc2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000558.json b/manifests/batches/numina/000558.json
index f10e09639be460b3d66e0bfc861665a003b16abd..c807e7c98dd5c9084cf8242e11f208e9afc56157 100644
--- a/manifests/batches/numina/000558.json
+++ b/manifests/batches/numina/000558.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000558",
   "batch_fingerprint": "b97d279940db51477515e24da8532629d3c48a24b79fb0d50b2a49211145e4a8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000558-0000-e98a1f5cfb980eb3.parquet",
-      "sha256": "e98a1f5cfb980eb369b01ae4df64cd6f2921e4f6ca8e08c368f74cc848d96225",
-      "bytes": 291018,
-      "rows": 16,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/dev/numina-000558-0000-f6c179e8c698759a.parquet",
-      "sha256": "f6c179e8c698759a014f26e77fe09751e295b01c9dc111daf3a3a964bb22cc60",
-      "bytes": 125595,
-      "rows": 14,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8f291cbb-24b3-5e05-a206-e69432f6913f",
     "numina:97b360d8-7556-579a-8bb8-3c0983d65a0c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002792.lean\",\"c9933a6bde31df13ef2d854b7e8996f3f0f2a898d45f39f2af16c12c2ff866fd\",0,\"number_theory_609532\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002793.lean\",\"48ba3e4050acff6ae18c527dc12384d8ad8fd1002c819bb061bd2b089b85bbb9\",0,\"algebra_609539\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002794.lean\",\"73109a80d8fdcb0d9fe71971c2e912666048a1ee16d8b97edd5b74fd9e91e1df\",0,\"combinatorics_609552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291018,
+      "path": "data/train/p19/numina-000558-0000-e98a1f5cfb980eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e98a1f5cfb980eb369b01ae4df64cd6f2921e4f6ca8e08c368f74cc848d96225"
+    },
+    {
+      "bytes": 125595,
+      "path": "data/dev/p19/numina-000558-0000-f6c179e8c698759a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f6c179e8c698759a014f26e77fe09751e295b01c9dc111daf3a3a964bb22cc60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000559.json b/manifests/batches/numina/000559.json
index c436b8b6a6d335d869749f5c9132587ad1f6158c..b775c099655328d00044ed104c5be14b7ab54132 100644
--- a/manifests/batches/numina/000559.json
+++ b/manifests/batches/numina/000559.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000559",
   "batch_fingerprint": "e9667f9e61068c5d3ce87c027c2c540dcebc4839c0317bb5e20e563c93199c73",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000559-0000-f36271440a7340f7.parquet",
-      "sha256": "f36271440a7340f7cc1c81cac9893371f7b5daabd495ea762b1caafd09c84896",
-      "bytes": 77309,
-      "rows": 16,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000559-0000-e1bca3fa02335614.parquet",
-      "sha256": "e1bca3fa023356146e133471cfedede4f70102dbb9ffb44836b49212c15fc06e",
-      "bytes": 66833,
-      "rows": 9,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5d2b4a5b-bf3e-5dbe-964a-3dcb4d828c94",
     "numina:84dc4891-29a0-503e-9997-ef6ebf0bfb85",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002797.lean\",\"08accd47d6417388bbc2398f73a53ccfb888b85b850720876fb119a8d17892f6\",0,\"combinatorics_609586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002798.lean\",\"63810d76efabdbdae3a587a8c8c68f44d8139f42147b5c95b65447362d695c1c\",0,\"algebra_609588\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002799.lean\",\"de639e18a9d27322c5ca25c4fa7a4c0a581dac45241c7d02320601ac8e5504a2\",0,\"number_theory_609591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77309,
+      "path": "data/train/p9c/numina-000559-0000-f36271440a7340f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f36271440a7340f7cc1c81cac9893371f7b5daabd495ea762b1caafd09c84896"
+    },
+    {
+      "bytes": 66833,
+      "path": "data/internal_test/p9c/numina-000559-0000-e1bca3fa02335614.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e1bca3fa023356146e133471cfedede4f70102dbb9ffb44836b49212c15fc06e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000560.json b/manifests/batches/numina/000560.json
index 6a29b5e0a11ba0b51fa479eaebd4b6443851cd51..94ad470e05a0284c00c4b86cd453f7e08786a166 100644
--- a/manifests/batches/numina/000560.json
+++ b/manifests/batches/numina/000560.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000560",
   "batch_fingerprint": "e632cdef793ef204564b7d41f0a135486f1d5e0b3231a71170f38bea7163841f",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000560-0000-d90d867cb6bff5ad.parquet",
-      "sha256": "d90d867cb6bff5ad6f068c7f7e965cb83ef5360a69d74bc53ff31f3cfdc03fbf",
-      "bytes": 197161,
-      "rows": 16,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/dev/numina-000560-0000-6ee60641a9601ab7.parquet",
-      "sha256": "6ee60641a9601ab7a03c79cb326d645de1b4e58191a6da06948e294683ff4624",
-      "bytes": 40700,
-      "rows": 7,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    },
-    {
-      "path": "data/internal_test/numina-000560-0000-b9db1a0d0a4b990c.parquet",
-      "sha256": "b9db1a0d0a4b990cbcb1bf7f60372b7caa9c03bda5b5ba75a8cd430bab266188",
-      "bytes": 27642,
-      "rows": 1,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f9144ec-88e8-50d7-9c6c-856877ee268c",
     "numina:456c105d-6538-5d31-aba2-a3720ef2541b",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002802.lean\",\"ee7a9d1d77195d8c996e33d991885be75486ab343a48e28a5a5ac64d8292837f\",0,\"number_theory_609596\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002803.lean\",\"4dd5c7b7d0386265c7be46682abf26c20be59f7b990c0927f0d254e9f1aac765\",0,\"algebra_609600\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002804.lean\",\"f9910b86822451e8b54f9c6d5aac4c785dd03142715013dad61d4ec9a61f5790\",0,\"combinatorics_609601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197161,
+      "path": "data/train/p5f/numina-000560-0000-d90d867cb6bff5ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d90d867cb6bff5ad6f068c7f7e965cb83ef5360a69d74bc53ff31f3cfdc03fbf"
+    },
+    {
+      "bytes": 40700,
+      "path": "data/dev/p5f/numina-000560-0000-6ee60641a9601ab7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6ee60641a9601ab7a03c79cb326d645de1b4e58191a6da06948e294683ff4624"
+    },
+    {
+      "bytes": 27642,
+      "path": "data/internal_test/p5f/numina-000560-0000-b9db1a0d0a4b990c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b9db1a0d0a4b990cbcb1bf7f60372b7caa9c03bda5b5ba75a8cd430bab266188"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000561.json b/manifests/batches/numina/000561.json
index 5b918d3d2273a17a4e03bf046d6437fc6bc52677..36cc6b8effeaaf42b704fa681910750c0c5ad595 100644
--- a/manifests/batches/numina/000561.json
+++ b/manifests/batches/numina/000561.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000561",
   "batch_fingerprint": "823f4e2b3642eb692f5b18faaf0980a33e7fd5257a0fa3c8a9a9e4a86e418804",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000561-0000-9251f2ada97240a5.parquet",
-      "sha256": "9251f2ada97240a5eba7bd40c73c8dd5442e091848f8fd680eb60600e2513f0b",
-      "bytes": 140023,
-      "rows": 14,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/dev/numina-000561-0000-e55dc4900ffd9f25.parquet",
-      "sha256": "e55dc4900ffd9f25a09bfa633b37e0f73ab22b404da8f60c8681ad2361905c52",
-      "bytes": 57971,
-      "rows": 13,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11686489-f2f1-56c1-99ea-7b872e912d26",
     "numina:4a8cf86d-6fe7-5a95-aad4-5b522236b334",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002807.lean\",\"3bb4ce0698f3de9e4e012920b2ae6e02eaeb781c0ed8729f6f94619ae0018f75\",3,\"combinatorics_609623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002808.lean\",\"3d6458af9fa4fbc792a2f28f56fb9c5ba234129a7ee3c455c47ef4b2e197d7f0\",0,\"combinatorics_609633\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002809.lean\",\"b557c08d4e8847244f303072c935c6e39bad01723905fa757da112302dd15f8f\",0,\"combinatorics_609635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140023,
+      "path": "data/train/pb0/numina-000561-0000-9251f2ada97240a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9251f2ada97240a5eba7bd40c73c8dd5442e091848f8fd680eb60600e2513f0b"
+    },
+    {
+      "bytes": 57971,
+      "path": "data/dev/pb0/numina-000561-0000-e55dc4900ffd9f25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e55dc4900ffd9f25a09bfa633b37e0f73ab22b404da8f60c8681ad2361905c52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000562.json b/manifests/batches/numina/000562.json
index 2f139daadb02acf54ecc49899ff71f5978956484..e0ea0dbe0500c7ac1dc33f1dc17d19831c8a9b22 100644
--- a/manifests/batches/numina/000562.json
+++ b/manifests/batches/numina/000562.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000562",
   "batch_fingerprint": "0e6a47bec0c924df4f5531ff32a027c1a28b25146a31523581461938f0fa6245",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000562-0000-0a2a32a44d76ed0d.parquet",
-      "sha256": "0a2a32a44d76ed0dcf247cfafc96f1de7a0a97f2b29f7811d80e41f1b6f1fe9c",
-      "bytes": 734873,
-      "rows": 33,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/train/numina-000562-0001-154c9d39ee8951d1.parquet",
-      "sha256": "154c9d39ee8951d155c2b1bbbdeca8ed956d00a679fc801c213930ced96928a4",
-      "bytes": 355848,
-      "rows": 7,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2723e3bf-e096-5ddc-914c-50c16197e8d0",
     "numina:58d9216e-862a-5f6e-95f5-3ebfbbd92843",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002812.lean\",\"3b3341d10c9dbcadf22fd40b0aff6c903c0f9c7098444f16473f55b5d02d2be1\",0,\"algebra_609668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002813.lean\",\"4073d10e1542db683a8901ed35dd6322122e44ae0fab82001c54c2f9202f5382\",0,\"inequality_609670\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002814.lean\",\"657dab366e8d130d3962aa2e3d0f0af7349d3f88255aa9a6b4d29defa517fb8c\",0,\"combinatorics_609674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734873,
+      "path": "data/train/pa9/numina-000562-0000-0a2a32a44d76ed0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0a2a32a44d76ed0dcf247cfafc96f1de7a0a97f2b29f7811d80e41f1b6f1fe9c"
+    },
+    {
+      "bytes": 355848,
+      "path": "data/train/pa9/numina-000562-0001-154c9d39ee8951d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "154c9d39ee8951d155c2b1bbbdeca8ed956d00a679fc801c213930ced96928a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000563.json b/manifests/batches/numina/000563.json
index ab0f627529fb8cdd93dc3002215caea7dd1f2256..6380e4234e37a4739bf8e7d85b04999325d8d9db 100644
--- a/manifests/batches/numina/000563.json
+++ b/manifests/batches/numina/000563.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000563",
   "batch_fingerprint": "879d22677dd797c62459805349db404085c57306d8ebddc0e23a44885b4ef9f9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000563-0000-93e881b640079d8c.parquet",
-      "sha256": "93e881b640079d8c0b89ba7e28926873702bc66495dc448c91b80981b04c0344",
-      "bytes": 342913,
-      "rows": 44,
-      "revision": "e4ce5771794ec50765a1c03bc3272dd69d4c6e63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e37a1b4-baec-5240-a838-b226509ea4be",
     "numina:4d298216-b12c-5b83-a909-fe513fc7f431",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002817.lean\",\"5fb10f0ebdff02f04789e2510857eb617cc352ade928eaf5da2ba1408bb43c10\",0,\"number_theory_609730\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002818.lean\",\"4c5c1bf8b2b42fbec0d96a79c7643b39986ccc63365275551227daa924132b70\",0,\"logic_and_puzzles_609734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002819.lean\",\"a40cf90693b33e6d6b12824229c7ff6b1de47df1091d090a6702deb6632ddc32\",0,\"algebra_609735\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342913,
+      "path": "data/train/p3c/numina-000563-0000-93e881b640079d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "93e881b640079d8c0b89ba7e28926873702bc66495dc448c91b80981b04c0344"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000564.json b/manifests/batches/numina/000564.json
index 717e961d8967280f861c5effcd4d823459f7dbe5..98c5f9cc95dba84ec446e1d0836d8b394d8443d6 100644
--- a/manifests/batches/numina/000564.json
+++ b/manifests/batches/numina/000564.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000564",
   "batch_fingerprint": "7682a12e003f6c6a723840ba0b5d9304d410c369702fc94bec54729db2db7799",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000564-0000-4bb6b4226e5c91af.parquet",
-      "sha256": "4bb6b4226e5c91afd01a6583c89df8d45ee84a9d431ead47c0fcdf0baabaf897",
-      "bytes": 79831,
-      "rows": 9,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/dev/numina-000564-0000-a94994cb7db910cb.parquet",
-      "sha256": "a94994cb7db910cb56f7e6f7e28742f8ae56f6e3011046d1ce62f24ae5623c52",
-      "bytes": 310088,
-      "rows": 3,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/internal_test/numina-000564-0000-f3851f98667e3251.parquet",
-      "sha256": "f3851f98667e32512b6645aec5f88cecd22d8bab1558941e12c48b824b4b6835",
-      "bytes": 124270,
-      "rows": 10,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09648599-a82c-5481-aa84-8695bdb460ce",
     "numina:7245a5c2-9d9b-5666-83f9-0cebca81b85d",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002822.lean\",\"432bfac521fe0bea4836a3aa5a94a1e4a05470b13a77ea7b919101904445d56a\",9,\"combinatorics_609745\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002823.lean\",\"b191419aab06951397e470516e5324c254e8f11dbf10582badd5a38f6df3bf7c\",0,\"algebra_609747\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002824.lean\",\"5615d0516d10c5a614532dfdafddd7d4c490f34166578ff14057949ef3cc23fd\",0,\"geometry_609751\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79831,
+      "path": "data/train/pe5/numina-000564-0000-4bb6b4226e5c91af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4bb6b4226e5c91afd01a6583c89df8d45ee84a9d431ead47c0fcdf0baabaf897"
+    },
+    {
+      "bytes": 310088,
+      "path": "data/dev/pe5/numina-000564-0000-a94994cb7db910cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a94994cb7db910cb56f7e6f7e28742f8ae56f6e3011046d1ce62f24ae5623c52"
+    },
+    {
+      "bytes": 124270,
+      "path": "data/internal_test/pe5/numina-000564-0000-f3851f98667e3251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f3851f98667e32512b6645aec5f88cecd22d8bab1558941e12c48b824b4b6835"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000565.json b/manifests/batches/numina/000565.json
index 7550ce3900d59fc13d7b1426ca042e508d8d1371..d4240d270d4885a6f1ca5401298b83921ee4e7d5 100644
--- a/manifests/batches/numina/000565.json
+++ b/manifests/batches/numina/000565.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000565",
   "batch_fingerprint": "8408fbb02d4da2b63f253f9be17d7c6172d4e01caf9b98ccaf41b879ff5f68ec",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:7994d7f9-9f89-5bee-9b85-3f302e4139cf",
+    "numina:88780cbd-bafe-56de-8ad9-bc650e30bb26",
+    "numina:89d10760-aa21-5799-9f74-8f0f506715da",
+    "numina:d1b75126-b531-5fde-93f9-e5ebc8bd4e8d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002825.lean\",\"0768b3b178ecc3945dfd7ae38d909f6a60c1b85fade20e20932cafb2935a5130\",0,\"geometry_609756\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002826.lean\",\"c6d4372a6d5fe81ab16d34806c3f7bebced22695e9d19330331dafb55ba6ab56\",0,\"count_valid_dna_sequences\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002827.lean\",\"7d3dd8618d94af31061e2b74bf8c968f4f91d9e22f8ad58ba6239d31dc9b260a\",0,\"Combinatorics_609780\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002828.lean\",\"ff5a941d0f13d22c3bd1f69abaf8f7b50cb8acf6e7aeca56b11011d1f22902a4\",0,\"number_theory_609785\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000565-0000-4fb124e8d450afbe.parquet",
-      "sha256": "4fb124e8d450afbe8cf9a2946e3d1d4b1617d4d8c05bd0700f9794f3f2e3460c",
       "bytes": 235374,
+      "path": "data/train/p3b/numina-000565-0000-4fb124e8d450afbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 37,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
+      "sha256": "4fb124e8d450afbe8cf9a2946e3d1d4b1617d4d8c05bd0700f9794f3f2e3460c"
     },
     {
-      "path": "data/internal_test/numina-000565-0000-8b7b18856025944b.parquet",
-      "sha256": "8b7b18856025944bac6cead09cecd84343d1d4fb05f3d10b85876b76ce43efff",
       "bytes": 592020,
+      "path": "data/internal_test/p3b/numina-000565-0000-8b7b18856025944b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
+      "sha256": "8b7b18856025944bac6cead09cecd84343d1d4fb05f3d10b85876b76ce43efff"
     },
     {
-      "path": "data/internal_test/numina-000565-0001-6bac6abff2de05f1.parquet",
-      "sha256": "6bac6abff2de05f1a76b3875887da6380a90ea24ffb0b4704ad0309de2595a43",
       "bytes": 148723,
+      "path": "data/internal_test/p3b/numina-000565-0001-6bac6abff2de05f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
+      "sha256": "6bac6abff2de05f1a76b3875887da6380a90ea24ffb0b4704ad0309de2595a43"
     }
-  ],
-  "proof_ids": [
-    "numina:7994d7f9-9f89-5bee-9b85-3f302e4139cf",
-    "numina:88780cbd-bafe-56de-8ad9-bc650e30bb26",
-    "numina:89d10760-aa21-5799-9f74-8f0f506715da",
-    "numina:d1b75126-b531-5fde-93f9-e5ebc8bd4e8d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002825.lean\",\"0768b3b178ecc3945dfd7ae38d909f6a60c1b85fade20e20932cafb2935a5130\",0,\"geometry_609756\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002826.lean\",\"c6d4372a6d5fe81ab16d34806c3f7bebced22695e9d19330331dafb55ba6ab56\",0,\"count_valid_dna_sequences\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002827.lean\",\"7d3dd8618d94af31061e2b74bf8c968f4f91d9e22f8ad58ba6239d31dc9b260a\",0,\"Combinatorics_609780\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002828.lean\",\"ff5a941d0f13d22c3bd1f69abaf8f7b50cb8acf6e7aeca56b11011d1f22902a4\",0,\"number_theory_609785\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000566.json b/manifests/batches/numina/000566.json
index ade924155ff04960b850e186dbdfba3688ad22b2..4af8ff0f593e9dda2598a764e56b302c59a8e432 100644
--- a/manifests/batches/numina/000566.json
+++ b/manifests/batches/numina/000566.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000566",
   "batch_fingerprint": "03689d88c9cdd7baaaf29faf73c4109af7a0fcd0ef222d8ba0036b8403ef7bc7",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000566-0000-603f7f892d1c7da8.parquet",
-      "sha256": "603f7f892d1c7da898209c9deaba8c609eb7736ec65adc5028333b851ef7df64",
-      "bytes": 228931,
-      "rows": 12,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/internal_test/numina-000566-0000-991173b4492b5aa2.parquet",
-      "sha256": "991173b4492b5aa26c3aa26eeea37332325e23b3a969bfc1c37d845cedca9e1e",
-      "bytes": 38508,
-      "rows": 5,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1db1cdca-6779-501f-a4ac-9a4c7eb558fc",
     "numina:6605db18-5aca-51d0-9d0e-0744aab984e5",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002831.lean\",\"1ffe5beb2a9960e75493c50f8c1737fbdb65bd2a69151aa8ace29d925262bc30\",0,\"combinatorics_609812\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002832.lean\",\"226eeaf360699dfe29d090493b382bf04d607ccc4ee5b086182d6a7f88cdbe2f\",0,\"number_theory_609813\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002833.lean\",\"18201d1b9ffa023da3ff43d5ff983fb2587d3712c0f34ba0423c8b95c9ced1ec\",0,\"algebra_609817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228931,
+      "path": "data/train/p47/numina-000566-0000-603f7f892d1c7da8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "603f7f892d1c7da898209c9deaba8c609eb7736ec65adc5028333b851ef7df64"
+    },
+    {
+      "bytes": 38508,
+      "path": "data/internal_test/p47/numina-000566-0000-991173b4492b5aa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "991173b4492b5aa26c3aa26eeea37332325e23b3a969bfc1c37d845cedca9e1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000567.json b/manifests/batches/numina/000567.json
index aeb47517a6fcea68b340e44f898951c77d0d4955..a7790a67ab842f8e635ab040f7fe2f8b7f110b4e 100644
--- a/manifests/batches/numina/000567.json
+++ b/manifests/batches/numina/000567.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000567",
   "batch_fingerprint": "30f650d47986f316c97586c04adaf4f3573631df873b90a0632bce4a613041f7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000567-0000-d6ce1715ec847912.parquet",
-      "sha256": "d6ce1715ec847912fc0b76fdbbfe78edf67bd4dfed6149b0ce27ef45b5893ff8",
-      "bytes": 101534,
-      "rows": 17,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/internal_test/numina-000567-0000-f1e282153ee9b12e.parquet",
-      "sha256": "f1e282153ee9b12ed0d4dacab3db493c47e094808999f7bd2d0e1a9c72ccf008",
-      "bytes": 122651,
-      "rows": 5,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:066cfb4a-d936-5327-90c2-7c35cf510895",
     "numina:61344240-4ea8-5893-9825-b3aa4de618f5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002837.lean\",\"ed0ecc543e38f79a7362b40be237c00dc5e5e16fa1f67c926d5fe721ccb77b23\",0,\"number_theory_609859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002838.lean\",\"2ec95e5789750cf977b70001956dfa329594a0e9656916368eab11f2467bc51e\",0,\"number_theory_609879\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002839.lean\",\"c7d991988e2f2476e1232fd017b6b47421785f9b991ad743336d612ad62549e6\",0,\"combinatorics_2345678\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101534,
+      "path": "data/train/p80/numina-000567-0000-d6ce1715ec847912.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d6ce1715ec847912fc0b76fdbbfe78edf67bd4dfed6149b0ce27ef45b5893ff8"
+    },
+    {
+      "bytes": 122651,
+      "path": "data/internal_test/p80/numina-000567-0000-f1e282153ee9b12e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f1e282153ee9b12ed0d4dacab3db493c47e094808999f7bd2d0e1a9c72ccf008"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000568.json b/manifests/batches/numina/000568.json
index ae5c9a950a9d53ffbe039c96e9c011364dac6eba..a7aa132a3bf8e21cbe66915ae6877e296594df0c 100644
--- a/manifests/batches/numina/000568.json
+++ b/manifests/batches/numina/000568.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000568",
   "batch_fingerprint": "41ef669a482e13e506bc2562a4ead428330b1aa30c497dd4fda34b77bd7b2b7d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000568-0000-40da74e02994bc08.parquet",
-      "sha256": "40da74e02994bc0845f7357a3a98c4a709aebff4801799ea95b439221826f42b",
-      "bytes": 140186,
-      "rows": 24,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/internal_test/numina-000568-0000-0c0b0e1a9e4452f9.parquet",
-      "sha256": "0c0b0e1a9e4452f998965eaacbc36d56fc499de070bf9e4f88adc54b3b155801",
-      "bytes": 96443,
-      "rows": 19,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:96fefe8b-9141-5ef6-a968-9b47768840a9",
     "numina:c5d952fb-c0a0-5241-9aaa-ee45aff340ca",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002842.lean\",\"8e6d679a6315845b2be6c17b16914c43e4561bd2bbf1564f1fc2c43d7438be13\",0,\"number_theory_609900\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002843.lean\",\"6e503904edb81649e559842c0c3f2c9b34a9f89c11f62a35ff4e187987ed2485\",0,\"algebra_609907\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002844.lean\",\"29a98da4baf4cc5e2745cc22cd48a32e1d1e43d69cc69c3ab3af75d4b35b2c9a\",0,\"combination_609908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140186,
+      "path": "data/train/p8f/numina-000568-0000-40da74e02994bc08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "40da74e02994bc0845f7357a3a98c4a709aebff4801799ea95b439221826f42b"
+    },
+    {
+      "bytes": 96443,
+      "path": "data/internal_test/p8f/numina-000568-0000-0c0b0e1a9e4452f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0c0b0e1a9e4452f998965eaacbc36d56fc499de070bf9e4f88adc54b3b155801"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000569.json b/manifests/batches/numina/000569.json
index 3d90ed7670019695a30185eb91fdf4867c76b0a4..54c502fc3055db36c6d94d19d01fb60a669efda4 100644
--- a/manifests/batches/numina/000569.json
+++ b/manifests/batches/numina/000569.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000569",
   "batch_fingerprint": "1aeae81a8421b75f4382fa7080843fbd7c7ec1631f128bb643744b37a55581a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000569-0000-e2977213b3214b7d.parquet",
-      "sha256": "e2977213b3214b7d5d65c397a0c2e0433290e826aac5caa7de0e36f64fb7800e",
-      "bytes": 389793,
-      "rows": 15,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    },
-    {
-      "path": "data/internal_test/numina-000569-0000-a34728155dff34cf.parquet",
-      "sha256": "a34728155dff34cf0514edf4e9cb67d2f2a2367cda60fba6b8e45a36df3165a0",
-      "bytes": 118279,
-      "rows": 11,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1fd40f3a-24de-5583-8346-c3d2f7ddb5b9",
     "numina:414ac6b1-d0f6-5921-bf00-ccf0a4408514",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002847.lean\",\"d5f539a89728da1510e846e155dc489840a243b1ff49db48b22588f3d9cdf14f\",1,\"combinatorics_609930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002848.lean\",\"b3d6783ea8b0c805312743e76c5406c2115ffe7b4c09ecb1a69c197d490f95da\",0,\"geometry_609931\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002849.lean\",\"7ab14ea9ff87388f0a397a63557b38202f8c311c2d086638cc4998056cb77cf0\",0,\"number_theory_609936\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 389793,
+      "path": "data/train/p29/numina-000569-0000-e2977213b3214b7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e2977213b3214b7d5d65c397a0c2e0433290e826aac5caa7de0e36f64fb7800e"
+    },
+    {
+      "bytes": 118279,
+      "path": "data/internal_test/p29/numina-000569-0000-a34728155dff34cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a34728155dff34cf0514edf4e9cb67d2f2a2367cda60fba6b8e45a36df3165a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000570.json b/manifests/batches/numina/000570.json
index 278272fd6e3673859b5b96efbf58674f72a90c23..8b9421595064e2a9f44e4e8dfd58a78fda456120 100644
--- a/manifests/batches/numina/000570.json
+++ b/manifests/batches/numina/000570.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000570",
   "batch_fingerprint": "37beedfa7eb351e3d701cc186fafad5bd5566c4d17c4995bc5e1bb5700201908",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000570-0000-ab9030b252323995.parquet",
-      "sha256": "ab9030b252323995cd5c8cf6dc9f038e7ecf345aff1fb2cccb4e7b77f9776095",
-      "bytes": 277732,
-      "rows": 51,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000570-0000-510df7e564bb80c0.parquet",
-      "sha256": "510df7e564bb80c094d454d2fbef3555fda6aa36605a0628a03cc0b64e1118bf",
-      "bytes": 95202,
-      "rows": 5,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:328cd7e5-904b-570a-a0da-0d948e5f7e00",
     "numina:4eea85a5-d8d2-5ccd-adbb-27723804eec8",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002852.lean\",\"21a0c6eba86e79711a6c4badde822ccf33a68c8682193483acb8713680344b06\",0,\"number_theory_609946\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002853.lean\",\"881b82efe90a52f091fef716b039372309f94109bed9ae3f0fb454f8d8b15c41\",5,\"combinatorics_609954\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002854.lean\",\"7e7c1052f696e86ade544e79e066beac3e8a46b5ceffcfdfc46a4efc44f51b0d\",0,\"geometry_609963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277732,
+      "path": "data/train/pb2/numina-000570-0000-ab9030b252323995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "ab9030b252323995cd5c8cf6dc9f038e7ecf345aff1fb2cccb4e7b77f9776095"
+    },
+    {
+      "bytes": 95202,
+      "path": "data/internal_test/pb2/numina-000570-0000-510df7e564bb80c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "510df7e564bb80c094d454d2fbef3555fda6aa36605a0628a03cc0b64e1118bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000571.json b/manifests/batches/numina/000571.json
index ee71a161ee03047e391b3e4f7363dbe8f7c9c243..64a034a8a65fd1fd4368f9c6c5212f88e58f954d 100644
--- a/manifests/batches/numina/000571.json
+++ b/manifests/batches/numina/000571.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000571",
   "batch_fingerprint": "26bca3c1f6ddb4c82604deaca533547478f2971a57e5cc4284b35e56d3655ee1",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000571-0000-c978439caae9ab29.parquet",
-      "sha256": "c978439caae9ab29649f79741387fc9f854c99c190a970d81cd1ee0965814ea7",
-      "bytes": 166312,
-      "rows": 14,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/dev/numina-000571-0000-234b429685e8f2a0.parquet",
-      "sha256": "234b429685e8f2a0d774b6f4bedc39a9b045926292ba0012f5e76125568fcebd",
-      "bytes": 30002,
-      "rows": 4,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000571-0000-5a5565a9b99f2dac.parquet",
-      "sha256": "5a5565a9b99f2dac11bbaed0022abf030921bdb9579e377c876207cf308b00a5",
-      "bytes": 169358,
-      "rows": 7,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0efc919a-f6b4-556a-8128-2163389a0342",
     "numina:163979af-3efa-5923-9ea3-7a9ba93934ac",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002857.lean\",\"1ccf718038a42486f4dcb301742c4715cccb781d39d147aa3825254775d2b558\",0,\"algebra_609982\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002858.lean\",\"e88e78c1ccf19a5e2b96781b779a77b56b9ef1e4ad0e2e0ea7a9590c9e1a13e2\",0,\"combinatorics_609984\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002859.lean\",\"18635e36a25c8798c12b31dddbd12cf8626661d7cd95b9f97341f001ea77e442\",1,\"combinatorics_609990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166312,
+      "path": "data/train/p2e/numina-000571-0000-c978439caae9ab29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c978439caae9ab29649f79741387fc9f854c99c190a970d81cd1ee0965814ea7"
+    },
+    {
+      "bytes": 30002,
+      "path": "data/dev/p2e/numina-000571-0000-234b429685e8f2a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "234b429685e8f2a0d774b6f4bedc39a9b045926292ba0012f5e76125568fcebd"
+    },
+    {
+      "bytes": 169358,
+      "path": "data/internal_test/p2e/numina-000571-0000-5a5565a9b99f2dac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5a5565a9b99f2dac11bbaed0022abf030921bdb9579e377c876207cf308b00a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000572.json b/manifests/batches/numina/000572.json
index a0e0d8004886e3af163a762bdc6371c537f337de..f41c13a7773a65967075dfa839536fbc0596f22a 100644
--- a/manifests/batches/numina/000572.json
+++ b/manifests/batches/numina/000572.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000572",
   "batch_fingerprint": "b4c562b29953535b122a3645cf3e39a5c001efcefd7e97669870ac7c74132c55",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000572-0000-266b3e5b6de02c9e.parquet",
-      "sha256": "266b3e5b6de02c9eb8a46d0ee56ad8ac46321d31685c900fd7662a11d292b806",
-      "bytes": 71853,
-      "rows": 14,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000572-0000-85e979789b2cb6e1.parquet",
-      "sha256": "85e979789b2cb6e13fc10ef42a6c2e9210af66cfaa29b466b51a882505e45c43",
-      "bytes": 261300,
-      "rows": 6,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8d905a03-4207-5e80-a624-4b4a36de4a68",
     "numina:a4335600-7f0d-5fd3-89af-6c83e9073000",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002862.lean\",\"77e15428cfd9cf45045cbbf7a53b3efc9900c5d00d0db3ce345141c401f5edf3\",0,\"number_theory_610013\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002863.lean\",\"cb78dd272ba5e788ca3edb2e8bac72c7ffc0be7e3014805962a7309c3c36e91c\",0,\"algebra_610016\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002864.lean\",\"cac97b98fbf60cd195346ca74d5b4637c04d13ab7879c9354d8d917745912ed9\",0,\"Combinatorics_610027\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71853,
+      "path": "data/train/p65/numina-000572-0000-266b3e5b6de02c9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "266b3e5b6de02c9eb8a46d0ee56ad8ac46321d31685c900fd7662a11d292b806"
+    },
+    {
+      "bytes": 261300,
+      "path": "data/internal_test/p65/numina-000572-0000-85e979789b2cb6e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "85e979789b2cb6e13fc10ef42a6c2e9210af66cfaa29b466b51a882505e45c43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000573.json b/manifests/batches/numina/000573.json
index a5e8db9254aa93b9c9448115401dc160caae61c7..4dfbb0d5be757a5a489b03c527d7cc120b629406 100644
--- a/manifests/batches/numina/000573.json
+++ b/manifests/batches/numina/000573.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000573",
   "batch_fingerprint": "a95f8462f5fb79f2369c336d7ef216754b6d2f464852fe5444799c067cd4bba5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000573-0000-6436f1582014316f.parquet",
-      "sha256": "6436f1582014316f2af7daf14a5e2ebb27889d08f7a712560f8d4a9e46e5c7c3",
-      "bytes": 152812,
-      "rows": 17,
-      "revision": "eb46585f0d7fcf65197db9af119f1a182af6e6a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03c2f0e8-f413-589c-bbbb-ac3783d701a9",
     "numina:1a1a967a-80da-5183-b899-c999810e3823",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002867.lean\",\"b4aefede45bdca04540d24bae181fedb74305964a41faf5fd787be36ce36299b\",0,\"Number_theory_610053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002868.lean\",\"1f6a6d319552949259975b5917e992059cc4fb8b31320140520a73e8d6a75379\",0,\"algebra_610058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002869.lean\",\"1083594aab0be5da916a0a9cde06fbb7861e1037fd445a50b9d3f29a151db657\",0,\"algebra_610060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152812,
+      "path": "data/train/pa4/numina-000573-0000-6436f1582014316f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6436f1582014316f2af7daf14a5e2ebb27889d08f7a712560f8d4a9e46e5c7c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000574.json b/manifests/batches/numina/000574.json
index 857e6d107b91db0fe87f92867424d0c88fa36076..25dd65aff045afeee6eff2912d11362747dab6e1 100644
--- a/manifests/batches/numina/000574.json
+++ b/manifests/batches/numina/000574.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000574",
   "batch_fingerprint": "9302353043d8510e4ee6e1e289b7cc47f95d76b1b427eb223241e0ac31b42dcd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000574-0000-18a91a0dbe1f04b2.parquet",
-      "sha256": "18a91a0dbe1f04b2dd968dfc8d2d5b2035be723df1bbd9a138d04583019135bf",
-      "bytes": 301001,
-      "rows": 57,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2cf9722b-81b5-510c-8182-b8717d4af775",
     "numina:4d5959e4-4031-542a-a79c-9f459279053e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002872.lean\",\"fe3d4b8c5f92a7a66c75b3ae26eab9aefa322e4c3dcc44f269b9909b97eb4c29\",0,\"combinatorics_610069\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002873.lean\",\"c7d33eb29843a4d5945ae0c34ac024946c5a94d964b6f648504f838ff4d35dfb\",0,\"number_theory_610072\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002874.lean\",\"b6bbeb9a92ad48697b3c81459a833d5846ade4080606a2c7252793cfe8eff0b4\",0,\"algebra_610075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301001,
+      "path": "data/train/p58/numina-000574-0000-18a91a0dbe1f04b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "18a91a0dbe1f04b2dd968dfc8d2d5b2035be723df1bbd9a138d04583019135bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000575.json b/manifests/batches/numina/000575.json
index 3bec9774f060bf40d290faadce8d33f60f390e11..c231b5ea59ecc43d71b5e60678286468a1f04167 100644
--- a/manifests/batches/numina/000575.json
+++ b/manifests/batches/numina/000575.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000575",
   "batch_fingerprint": "bef24bd2731431999f04c6d38e14b5f97439db6209c658b329cf71fb3bb456ea",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000575-0000-90f9e93dcd148367.parquet",
-      "sha256": "90f9e93dcd14836738a3b3e940e3a10311ed7dcce244bede026feb3c348627d8",
-      "bytes": 242444,
-      "rows": 47,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4af7d15d-b017-52ea-a8eb-d03df17bcd4a",
     "numina:826806e2-b178-5ce2-9d60-69e8ddf4f56f",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002877.lean\",\"6cd49e0616fc0da32dcf1a5a538c18b4b3052a15e85f74d90169b9bf6bbe3efe\",0,\"algebra_610103\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002878.lean\",\"a2f0e258eb0fbe510f6171c4280b8a24fa7680105b989290e01463eb92232e2a\",0,\"number_theory_610105\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002879.lean\",\"9256c4baa17f8d1b31142dab9a4c1c17121f5dd0dc7a4937ab0ef1d6931f0e8e\",0,\"algebra_610112\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242444,
+      "path": "data/train/p78/numina-000575-0000-90f9e93dcd148367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "90f9e93dcd14836738a3b3e940e3a10311ed7dcce244bede026feb3c348627d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000576.json b/manifests/batches/numina/000576.json
index da00973d857bd571222deac6ec0461c57d1eb081..99373adf64aa0573ec2cec469205c66a6058b757 100644
--- a/manifests/batches/numina/000576.json
+++ b/manifests/batches/numina/000576.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000576",
   "batch_fingerprint": "b40c2a7a1839e230f2597f6356fd8d7ae9f9f2d50d3d54883418a7549728e495",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000576-0000-8a66ec1d1684b162.parquet",
-      "sha256": "8a66ec1d1684b162b927f0ac99335b9e22716974525fe8fef4583d9167f7c5cd",
-      "bytes": 463925,
-      "rows": 34,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000576-0000-f0f4b8ae79e804b4.parquet",
-      "sha256": "f0f4b8ae79e804b42c3f24be764150e7e9861cc3326d7c8b8d3aa65d4f9eeb97",
-      "bytes": 25944,
-      "rows": 3,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05d8cdc7-ca5b-5c17-aaf0-4f62596465e7",
     "numina:2cbd2664-645d-5a94-962b-2dacc7baa5f3",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002881.lean\",\"f8d9ed43ae58e74cf175b84288f6038a90a667b2e0f48f752549a59d2cfb2a9f\",4,\"Combinatorics_610146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002882.lean\",\"6dec8472afabdb93841b4c1cae568366fb51c46f8504b0c74d63a47c7e43bcfe\",0,\"algebra_610150\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002884.lean\",\"4b413787040f82e8c2eb032ad6d6d25b1c6d7ae409e9117c587946a398481b1f\",0,\"algebra_610162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463925,
+      "path": "data/train/p36/numina-000576-0000-8a66ec1d1684b162.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "8a66ec1d1684b162b927f0ac99335b9e22716974525fe8fef4583d9167f7c5cd"
+    },
+    {
+      "bytes": 25944,
+      "path": "data/internal_test/p36/numina-000576-0000-f0f4b8ae79e804b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f0f4b8ae79e804b42c3f24be764150e7e9861cc3326d7c8b8d3aa65d4f9eeb97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000577.json b/manifests/batches/numina/000577.json
index 696d53b495cff11294341cdc10a1d3e3bde07912..be8bd06966208e9fc9892b54ad968cdf56ad0446 100644
--- a/manifests/batches/numina/000577.json
+++ b/manifests/batches/numina/000577.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000577",
   "batch_fingerprint": "f3a1fa9d60d15d331ae284fb1947ae80ad32e65f394bd795639b171a342d47ce",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000577-0000-a1b8af52da5d1688.parquet",
-      "sha256": "a1b8af52da5d16886757148f6648acadf1f4cd29e81008e0affff1058f589c61",
-      "bytes": 43848,
-      "rows": 8,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/dev/numina-000577-0000-85be436d61acf3cc.parquet",
-      "sha256": "85be436d61acf3cc1dad78f5e90b30a31ba0b0b8eb40bf0da7fba9cfa9536a4f",
-      "bytes": 163070,
-      "rows": 8,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    },
-    {
-      "path": "data/internal_test/numina-000577-0000-9d33fa4380faee86.parquet",
-      "sha256": "9d33fa4380faee8678aa56548abaa3eee7fba9b0d91513d64a92fdcbadfdb524",
-      "bytes": 127414,
-      "rows": 4,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19ee5660-033f-597b-a98b-8e985fbb1209",
     "numina:4332619b-7bdb-566d-931d-cfb521160a46",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002887.lean\",\"e8f134edb392e0482124597f57b1e6ba96ecc456077a09a76a7dc9422e1f34fc\",0,\"Pascal_Triangle\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002888.lean\",\"a1b6473615fe7fac4d33a9475268a16fd1b2d48f3f9c1a0a24748d069a76e8c7\",0,\"number_theory_610223\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002889.lean\",\"2adf41d2d2ed4b955b271ab7880633b8e05e4aacb8b30e24b4ce4f9a0c21f72b\",0,\"combinatroics_610234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43848,
+      "path": "data/train/pc9/numina-000577-0000-a1b8af52da5d1688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a1b8af52da5d16886757148f6648acadf1f4cd29e81008e0affff1058f589c61"
+    },
+    {
+      "bytes": 163070,
+      "path": "data/dev/pc9/numina-000577-0000-85be436d61acf3cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "85be436d61acf3cc1dad78f5e90b30a31ba0b0b8eb40bf0da7fba9cfa9536a4f"
+    },
+    {
+      "bytes": 127414,
+      "path": "data/internal_test/pc9/numina-000577-0000-9d33fa4380faee86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9d33fa4380faee8678aa56548abaa3eee7fba9b0d91513d64a92fdcbadfdb524"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000578.json b/manifests/batches/numina/000578.json
index 581ac35c2272b1fa59cf796bde9515691ff3eca5..f895c9d49ad94a29a4a294d39393bdd52315c1b1 100644
--- a/manifests/batches/numina/000578.json
+++ b/manifests/batches/numina/000578.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000578",
   "batch_fingerprint": "25ced23af61be22186e172803a4813045eab283308cd0542c5d3fdf9b964e42c",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000578-0000-88240d74832ccb4d.parquet",
-      "sha256": "88240d74832ccb4df943535057b93eebeb051b981dafd4468ed496947ce98368",
-      "bytes": 376386,
-      "rows": 32,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000578-0000-2b4a6ed7fbb089e6.parquet",
-      "sha256": "2b4a6ed7fbb089e6367884cbad5a402a1e84ad8119302dd7453a41ff926791b7",
-      "bytes": 59363,
-      "rows": 3,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55395588-b607-5a27-93a4-ff6d39334342",
     "numina:74cecdd9-039e-5e3c-9a62-a21f2f2a0a98",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002892.lean\",\"0b6ff41a8441df3cf16ce9bcffc0bde56957f5b8ae4de2688cff7b72f3ffd5b9\",0,\"number_theory_610260\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002893.lean\",\"bc21c77d95656e256fef5c52845b1671c41c985403c8376dde00381ed95cd26a\",0,\"combinatorics_610276\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002894.lean\",\"c6670b4838b882175fa2a6f662a607eab443afdd56cfa2811221ac496156fa09\",0,\"geometry_610278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376386,
+      "path": "data/train/p21/numina-000578-0000-88240d74832ccb4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "88240d74832ccb4df943535057b93eebeb051b981dafd4468ed496947ce98368"
+    },
+    {
+      "bytes": 59363,
+      "path": "data/internal_test/p21/numina-000578-0000-2b4a6ed7fbb089e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b4a6ed7fbb089e6367884cbad5a402a1e84ad8119302dd7453a41ff926791b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000579.json b/manifests/batches/numina/000579.json
index 100e371834539ade0aff50ffa039a72542b7953c..5bbcf8b0bd92a180a1dfef1b2be6d09a209774c1 100644
--- a/manifests/batches/numina/000579.json
+++ b/manifests/batches/numina/000579.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000579",
   "batch_fingerprint": "5466476aa6ab72ca45e50097c27c6972eed40f3350fe48604c198bf6ab347084",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000579-0000-c415ce660ff42417.parquet",
-      "sha256": "c415ce660ff42417a14b34aefe4cc4cc5799a608d027ea093eca8ef19a7158b8",
-      "bytes": 859689,
-      "rows": 30,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/train/numina-000579-0001-e7755b2056e4930e.parquet",
-      "sha256": "e7755b2056e4930e0fb617122ced17a058ed9f5b75c84d71599d60b0611300ed",
-      "bytes": 453276,
-      "rows": 37,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44bd8505-7066-5fca-a4b8-907c3ec4c4ec",
     "numina:8b42d953-8daf-5e40-836c-0a76af1da35d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002897.lean\",\"49167b6d7b351a990c02dd881e3c14ab1f49505f83ab9d9bddb1e8ecd611c07f\",0,\"number_theory_610304\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002898.lean\",\"8ae86a293fdc5432a9943e2af298df82feef003f46f2c323324ccf4752548e23\",0,\"algebra_610307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002899.lean\",\"ffe48a109fc14093fcabc5ed381d02266679cb4e28d22ad6f13be7c6186fa836\",0,\"algebra_610324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 859689,
+      "path": "data/train/p2c/numina-000579-0000-c415ce660ff42417.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "c415ce660ff42417a14b34aefe4cc4cc5799a608d027ea093eca8ef19a7158b8"
+    },
+    {
+      "bytes": 453276,
+      "path": "data/train/p2c/numina-000579-0001-e7755b2056e4930e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "e7755b2056e4930e0fb617122ced17a058ed9f5b75c84d71599d60b0611300ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000580.json b/manifests/batches/numina/000580.json
index 9dcdb51db3e99bb443f836c12385f51d20fd9fad..c5f3dd3a6faa746f3402e624a56ee43798d0b313 100644
--- a/manifests/batches/numina/000580.json
+++ b/manifests/batches/numina/000580.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000580",
   "batch_fingerprint": "510b99026e490b0fb4ab766c1e7a748f62f79585c58486ebfaae00c7e93a859f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000580-0000-50de8c7d95525f07.parquet",
-      "sha256": "50de8c7d95525f07c648d3310eec9d7044e2cb20aae92c113643de3bd341406c",
-      "bytes": 286971,
-      "rows": 29,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4753a1e5-e621-5e70-95a9-f450fe9d353f",
     "numina:83216262-08f4-5dcc-9f06-23b377395cc9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002902.lean\",\"c89dd13b413ae450a060e32113076721da6cddfbb4e8f07264ca80abb0453db8\",0,\"algebra_610348\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002903.lean\",\"c93010a479b1119873f1ecb8546fdd4ee12d374004bbfb8cceab3705e9687b38\",0,\"number_theory_610353\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002904.lean\",\"aab41df288bfae24513981b4622d3dafe80df61192ab32b67b16bce0f512dee7\",0,\"number_theory_610356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286971,
+      "path": "data/train/pa5/numina-000580-0000-50de8c7d95525f07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "50de8c7d95525f07c648d3310eec9d7044e2cb20aae92c113643de3bd341406c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000581.json b/manifests/batches/numina/000581.json
index ab2f230a893d3ee0210b19ef66eeaff6d0aadbc7..38153d109146056096100932d3427b3b2d3bd6d9 100644
--- a/manifests/batches/numina/000581.json
+++ b/manifests/batches/numina/000581.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000581",
   "batch_fingerprint": "158c33fe0476a9fb932bc97372b3b32214359193f19976979688d2bf6414b3aa",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000581-0000-be3f3996ed91923b.parquet",
-      "sha256": "be3f3996ed91923b376be3961a351cce1baeca9be3638e99d89406a489fa5448",
-      "bytes": 288669,
-      "rows": 39,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/internal_test/numina-000581-0000-8a5c7363ec2f2053.parquet",
-      "sha256": "8a5c7363ec2f20531dca9342f8abaf6b05621e96d7252dea4aa632c1a9383bfd",
-      "bytes": 64330,
-      "rows": 8,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:33d39bf8-e8d7-5cb9-9e50-a637d43a66b3",
     "numina:4bac941d-6f5d-514d-aed7-1a46594809a3",
@@ -66,5 +50,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002906.lean\",\"51e89dd1a6d0221a604ec59bdb77581725ff119ec3e2438f77afcc66474de6b5\",0,\"algebra_610370\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002908.lean\",\"14722081905208acabe9e7b7ad9bf3095d3eb423644124989759872136821bc6\",21,\"DigitSumDate.combinatorics_610395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002909.lean\",\"f1817d95a6fed8d0678c7eaa5a24a84a177a93bb04cd272599b62a9b544d4662\",0,\"number_theory_610403\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288669,
+      "path": "data/train/p49/numina-000581-0000-be3f3996ed91923b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "be3f3996ed91923b376be3961a351cce1baeca9be3638e99d89406a489fa5448"
+    },
+    {
+      "bytes": 64330,
+      "path": "data/internal_test/p49/numina-000581-0000-8a5c7363ec2f2053.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8a5c7363ec2f20531dca9342f8abaf6b05621e96d7252dea4aa632c1a9383bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000582.json b/manifests/batches/numina/000582.json
index 6e40cc116f699ca06572316fb96f49053bfae44d..1ea78d7d4d84dd300d0a9711be09ce8104d45a90 100644
--- a/manifests/batches/numina/000582.json
+++ b/manifests/batches/numina/000582.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000582",
   "batch_fingerprint": "9470357844993f5c80fa9ca282587dc3cdb084f62ebc1319c90cf204c586009f",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000582-0000-a3806b0760522d9f.parquet",
-      "sha256": "a3806b0760522d9f063a6805dc539583f530fdcbbe8c58391be6cfdc6d19576a",
-      "bytes": 459915,
-      "rows": 43,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/train/numina-000582-0001-604fa9ca950e88bc.parquet",
-      "sha256": "604fa9ca950e88bc7d9900917a1faaac56688cb685043a7f6b80ad1cb1d532df",
-      "bytes": 523558,
-      "rows": 43,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/train/numina-000582-0002-ae44038cca2b4f23.parquet",
-      "sha256": "ae44038cca2b4f237891b40ed862374af4a418189f68b6b2b5fa4c2cd2a7037e",
-      "bytes": 297798,
-      "rows": 14,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b32c6cc-d375-5ac6-881d-ad2af7baa21e",
     "numina:25e5aefe-e322-5204-9df0-1258d6eb5321",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002912.lean\",\"9ebbf57715722d3fe1e7727754a9342b79ba5da85e7da65b150f24f7a222b4e8\",0,\"Algebra_610434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002913.lean\",\"26c963fb08a8406a5315aa86668a7f52712332b423078150f4234c348c934303\",0,\"number_theory_610436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002914.lean\",\"bbe471d993672ba26c6fa5807858943e2ba4f9f64390a74ba1852b7887fc622a\",0,\"number_theory_610439\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 459915,
+      "path": "data/train/p65/numina-000582-0000-a3806b0760522d9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "a3806b0760522d9f063a6805dc539583f530fdcbbe8c58391be6cfdc6d19576a"
+    },
+    {
+      "bytes": 523558,
+      "path": "data/train/p65/numina-000582-0001-604fa9ca950e88bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "604fa9ca950e88bc7d9900917a1faaac56688cb685043a7f6b80ad1cb1d532df"
+    },
+    {
+      "bytes": 297798,
+      "path": "data/train/p65/numina-000582-0002-ae44038cca2b4f23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ae44038cca2b4f237891b40ed862374af4a418189f68b6b2b5fa4c2cd2a7037e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000583.json b/manifests/batches/numina/000583.json
index b3fd71aa15ecdafe7fdc8479f35160c0f9c92c94..8d925b0bd4b81b6d1546b05d779797b21e6e7941 100644
--- a/manifests/batches/numina/000583.json
+++ b/manifests/batches/numina/000583.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000583",
   "batch_fingerprint": "161d0057bab924ad4717f4a477dde19bea3092ca1119e0a48d37d82248209e99",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000583-0000-0b69887fa35c83bd.parquet",
-      "sha256": "0b69887fa35c83bd8f47ed1399a350c5f3e588d510d1ead695518e689427bfa0",
-      "bytes": 151227,
-      "rows": 26,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a434720-96bc-5768-9af1-d2f3af12d0bd",
     "numina:112331f0-252a-53e3-bb70-8e3303a50c3e",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002917.lean\",\"fd98fb8de0c66a291b225ed49604998b5363d75cc7f8330d49aad6cf69029780\",2,\"final_answer_is_12\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002918.lean\",\"2738d5c2ff43604728451e72afc100a0cfa70729af68487649ef7d42c3ddb1c2\",0,\"algebra_610506\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002919.lean\",\"8e5a35548b9644d5adb9693d63d13f7dc01632047f650b0ecd29c2a662ef296d\",0,\"algebra_610523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151227,
+      "path": "data/train/p48/numina-000583-0000-0b69887fa35c83bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "0b69887fa35c83bd8f47ed1399a350c5f3e588d510d1ead695518e689427bfa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000584.json b/manifests/batches/numina/000584.json
index 9a7a19b3eaa34cf769823bd91f0d11b7f510cb9e..5b6776ba9d262a8b123b89e8600ee3620f016bee 100644
--- a/manifests/batches/numina/000584.json
+++ b/manifests/batches/numina/000584.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000584",
   "batch_fingerprint": "3a66ffef513d529990f599c51a78910bb79742fe619650e406c56e86e34c9ac2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000584-0000-f93d9d92b76fd66f.parquet",
-      "sha256": "f93d9d92b76fd66f82a34ac171945dc6f9ae4d6d5d327cf91ce53e0932187a92",
-      "bytes": 677117,
-      "rows": 41,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/train/numina-000584-0001-3d8a62ee468ed644.parquet",
-      "sha256": "3d8a62ee468ed6445837cb4e96a66546c05653a527bc58e4f893fdbd7a7aa6fb",
-      "bytes": 124861,
-      "rows": 22,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/internal_test/numina-000584-0000-63354149b473655c.parquet",
-      "sha256": "63354149b473655cb3823a44e8d8648ba7f6135a7b9984fd85a2fd2d98f47872",
-      "bytes": 43910,
-      "rows": 2,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:130d0958-2819-5948-ba71-a0e965257f1a",
     "numina:1cb6cbd7-7fbc-5c09-8d40-f9f5bb331837",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002922.lean\",\"a9939cf09438a4d65b423fea1407c8842f23d83990b086838cda1ccc19bfb469\",0,\"number_theory_610585\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002923.lean\",\"83d4e2dec4a9e52edc3c6a5d2b73279b68e1488bd6afb19ea20dbc62b1a7efee\",0,\"algebra_610629\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002924.lean\",\"d34c3876ebd18ce1a9bd1ca230be4f131e5dff163e9c54fc8a533758449f7a9f\",0,\"geometry_610638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 677117,
+      "path": "data/train/pa1/numina-000584-0000-f93d9d92b76fd66f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f93d9d92b76fd66f82a34ac171945dc6f9ae4d6d5d327cf91ce53e0932187a92"
+    },
+    {
+      "bytes": 124861,
+      "path": "data/train/pa1/numina-000584-0001-3d8a62ee468ed644.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3d8a62ee468ed6445837cb4e96a66546c05653a527bc58e4f893fdbd7a7aa6fb"
+    },
+    {
+      "bytes": 43910,
+      "path": "data/internal_test/pa1/numina-000584-0000-63354149b473655c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "63354149b473655cb3823a44e8d8648ba7f6135a7b9984fd85a2fd2d98f47872"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000585.json b/manifests/batches/numina/000585.json
index 9d37ad10b4d0dd1b8bdba31451f5b2ee4588e8d4..805e0d27728b912e413bde4d15bbbb270c4b467f 100644
--- a/manifests/batches/numina/000585.json
+++ b/manifests/batches/numina/000585.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000585",
   "batch_fingerprint": "3b6345ec8a66c42880bc6c92d9db96a3fe525241ecbe3e6fcc8056972b29353e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000585-0000-47a2da944617d25a.parquet",
-      "sha256": "47a2da944617d25ab15e6b812106b1e2bcd157084562c6215f360027ca2c4c76",
-      "bytes": 383103,
-      "rows": 56,
-      "revision": "e1fd8ac024ecf302290105c5b0bbf264892559cd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:69317d54-2e52-57a8-a8d2-e40ad7042d2b",
     "numina:cf6577b5-050e-5b34-8f2e-c7df979a3473",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002927.lean\",\"dfa2704964460ecc9502dac42b1939555d6078cc58e9af054ece5f13fc9d945c\",2,\"smallest_k_choose_div_49\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002928.lean\",\"6a99d66967798e6f91ac121e94c1c9572257c679018eda04e3a847af48789be6\",0,\"algebra_610673\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002929.lean\",\"c1a0b11ed9a0fa75f06bad779b6a0e157055f92444eb524445c2fcb9f7c8eba1\",0,\"combinatorics_610680\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383103,
+      "path": "data/train/p2e/numina-000585-0000-47a2da944617d25a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "47a2da944617d25ab15e6b812106b1e2bcd157084562c6215f360027ca2c4c76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000586.json b/manifests/batches/numina/000586.json
index e36bc99f21686e2eb860ab2e5a1f368d147e1ed7..91de8c5416acb0ad48de40b86e4f91abfe7240ff 100644
--- a/manifests/batches/numina/000586.json
+++ b/manifests/batches/numina/000586.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000586",
   "batch_fingerprint": "6f9adc139d82db50ea87d9d0047357122c4acfc44104ec8c30e3368db638ab8a",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000586-0000-f3856f94b6fe8e5c.parquet",
-      "sha256": "f3856f94b6fe8e5c7a30af02ddeffb202c96f3d6b093d4162a94caffe57a52ec",
-      "bytes": 350377,
-      "rows": 52,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/internal_test/numina-000586-0000-2c221640d8ff72a4.parquet",
-      "sha256": "2c221640d8ff72a44b906d9d50c022bf3036694c01e102ff9be75fcb703a3c46",
-      "bytes": 108257,
-      "rows": 3,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0055d5af-15f5-5bff-bbb9-df0d6a032dcf",
     "numina:5b4c6879-dc67-5a46-a434-b14ad0f6053c",
@@ -66,5 +50,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002931.lean\",\"73c2973acb20f10f9c72390e50a54ab64382b181757ab5bd2ae86264ba5e8c24\",0,\"algebra_610692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002932.lean\",\"09bf9124defa90461c8c560a8183622af6a55b3409574a6b7044422a7df9464c\",0,\"algebra_610695\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002934.lean\",\"337d0f3d03f5c0dbe4ba946150006d94c180cb1e1f9251cc8cf02cbbd9d23e62\",0,\"number_theory_610722\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350377,
+      "path": "data/train/p59/numina-000586-0000-f3856f94b6fe8e5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "f3856f94b6fe8e5c7a30af02ddeffb202c96f3d6b093d4162a94caffe57a52ec"
+    },
+    {
+      "bytes": 108257,
+      "path": "data/internal_test/p59/numina-000586-0000-2c221640d8ff72a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2c221640d8ff72a44b906d9d50c022bf3036694c01e102ff9be75fcb703a3c46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000587.json b/manifests/batches/numina/000587.json
index 8e2f6e1858b5f7a7441047ae1313bc58eb60bd96..000ff4f6c700a7c755651b690a1b19c80d6c7293 100644
--- a/manifests/batches/numina/000587.json
+++ b/manifests/batches/numina/000587.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000587",
   "batch_fingerprint": "b573641821162dab3ed1715119552ab3f116dcf8b884c0055a105cfbe36bafc7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000587-0000-8e532290b8b19795.parquet",
-      "sha256": "8e532290b8b19795dc21baabcffadf3a94f8e4f31ceb3fee38ba6cc17fecd6f3",
-      "bytes": 287212,
-      "rows": 16,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/train/numina-000587-0001-1275a55e886df127.parquet",
-      "sha256": "1275a55e886df12738318b21ec9dbf31dc0fc5f36db7b24101072a63ebe5cb75",
-      "bytes": 306484,
-      "rows": 46,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6fb23fab-74d4-5cdb-bdd5-7ab690aba27f",
     "numina:bce73de8-854b-5a1b-9e43-b0084460e563",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002937.lean\",\"e6e0fa93c5fc9f1cd2ccd44ddabcf88cff174fdab04de18ac92c6f804dbd4e59\",0,\"algebra_610741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002938.lean\",\"ef09b46a9f96e32795213593fb8917d32f18a2ec7882e3ff3baab978223478eb\",0,\"algebra_610743\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002939.lean\",\"d5f7e19b19c3e71a8dac735ce06106509606d312f42fd8bc3d4ef349492a9cb3\",0,\"number_theory_610749\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287212,
+      "path": "data/train/pd8/numina-000587-0000-8e532290b8b19795.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8e532290b8b19795dc21baabcffadf3a94f8e4f31ceb3fee38ba6cc17fecd6f3"
+    },
+    {
+      "bytes": 306484,
+      "path": "data/train/pd8/numina-000587-0001-1275a55e886df127.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "1275a55e886df12738318b21ec9dbf31dc0fc5f36db7b24101072a63ebe5cb75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000588.json b/manifests/batches/numina/000588.json
index 3e2d604c7e23c6dd4237aedb6911a4f0998aa5d4..899399f9695b6c638e9536b3988b88fd09387188 100644
--- a/manifests/batches/numina/000588.json
+++ b/manifests/batches/numina/000588.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000588",
   "batch_fingerprint": "f4fddc14f6be192db73677e605922b974f4ae8a86fc6f1b60e5000b75209d144",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000588-0000-dc864c09cb472315.parquet",
-      "sha256": "dc864c09cb472315747367f9ca5831a16b68d00596324f19f085a15b76399ce7",
-      "bytes": 217587,
-      "rows": 6,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/train/numina-000588-0001-c2e338571b9de267.parquet",
-      "sha256": "c2e338571b9de2675b5f746244b8603225b5ff6d3db3794543ac5f2cef96c58a",
-      "bytes": 653107,
-      "rows": 10,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000588-0000-51e2c6d7305ffdc8.parquet",
-      "sha256": "51e2c6d7305ffdc81ecdb63c969f10e64e1534ebffc1ea847a59f028801b41a1",
-      "bytes": 21011,
-      "rows": 1,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d552008-e3d6-5b75-8ba6-6318119aceba",
     "numina:5b2105ed-f7db-5637-bc5a-38e48539b94c",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002942.lean\",\"5c36220536c2963d19ad62464999bd30e1aa07128999ec568332daf47589ddf9\",0,\"algebra_610780\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002943.lean\",\"c708eb4b336ff1731862a53e85dbdb0ae8801a7e51bd9b314c80691ad5518dd0\",0,\"number_theory_610791\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002944.lean\",\"a1c850e053ce8f6006506f9089f14f51ce5cd91605ceff9973de83ad01a02585\",0,\"largest_prime_factor_of_expression\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217587,
+      "path": "data/train/pe3/numina-000588-0000-dc864c09cb472315.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dc864c09cb472315747367f9ca5831a16b68d00596324f19f085a15b76399ce7"
+    },
+    {
+      "bytes": 653107,
+      "path": "data/train/pe3/numina-000588-0001-c2e338571b9de267.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c2e338571b9de2675b5f746244b8603225b5ff6d3db3794543ac5f2cef96c58a"
+    },
+    {
+      "bytes": 21011,
+      "path": "data/internal_test/pe3/numina-000588-0000-51e2c6d7305ffdc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "51e2c6d7305ffdc81ecdb63c969f10e64e1534ebffc1ea847a59f028801b41a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000589.json b/manifests/batches/numina/000589.json
index a68234ca8fe61024df3f152efcd28dd84853e55d..de479b3efccade8d205aac87c6800aa033a7dc2b 100644
--- a/manifests/batches/numina/000589.json
+++ b/manifests/batches/numina/000589.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000589",
   "batch_fingerprint": "64a7b1ff844204f38d9bbe0e9b71c4d964a930f0ef0122d96327849db04b9a07",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000589-0000-bbe7c0923c03af09.parquet",
-      "sha256": "bbe7c0923c03af09a31531d1e6cdccdabf610cc6d37344698cea6ff1c81f3f73",
-      "bytes": 81769,
-      "rows": 13,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000589-0000-3ce609d459a3393a.parquet",
-      "sha256": "3ce609d459a3393aa4d2017cd923f924306333bc817723be8aabc70e6511f926",
-      "bytes": 40704,
-      "rows": 3,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:404a4df3-83e9-53e5-9025-be8e0b3540c6",
     "numina:68f39f1e-78ba-5350-8323-c51c4781f5e4",
@@ -81,5 +65,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002946.lean\",\"14134a4968cbc82ab4abe63bd36add6951725646ca9bfa2e81e06aadc7d85f50\",0,\"combinatorics_610809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002948.lean\",\"fae91a8aa1a556e61e409426a61d0abf74d5300d22566752a540b4755fb38a45\",9,\"combinatorics_610815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002949.lean\",\"94d0ce3eb0cd5ef49bd8569fe537bba7f57947fb0aa2fe2589f1178c1c031c8d\",0,\"algebra_610826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81769,
+      "path": "data/train/p8f/numina-000589-0000-bbe7c0923c03af09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bbe7c0923c03af09a31531d1e6cdccdabf610cc6d37344698cea6ff1c81f3f73"
+    },
+    {
+      "bytes": 40704,
+      "path": "data/internal_test/p8f/numina-000589-0000-3ce609d459a3393a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3ce609d459a3393aa4d2017cd923f924306333bc817723be8aabc70e6511f926"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000590.json b/manifests/batches/numina/000590.json
index 08bc4b719d89321d63301df5462b9aa639a26b24..3aacd7ab72d7d5d804c6ccef7ca3c75639acaf39 100644
--- a/manifests/batches/numina/000590.json
+++ b/manifests/batches/numina/000590.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000590",
   "batch_fingerprint": "c861647c33eb9108e6635e5426b14f6190d5df8e3cf562fe09adb6100ce685ed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000590-0000-d71e5549d3a6cf1d.parquet",
-      "sha256": "d71e5549d3a6cf1d80d09c191a92c1529a78ba88ccbc569ef8202f04d5c64290",
-      "bytes": 96054,
-      "rows": 24,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/dev/numina-000590-0000-39f3a8799f00ef43.parquet",
-      "sha256": "39f3a8799f00ef4391a9c3a73eb39d653ec03f313bdd2dacc6ec4ebc78ff1d08",
-      "bytes": 53123,
-      "rows": 3,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a7cf41c-7338-5f2c-9f76-78c8e151413b",
     "numina:54ff73ec-11b9-550c-bc3f-689db659b766",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002952.lean\",\"49a7167a09ff94a573bbe8836006fd3b832b02bfd56b7a06acec7720bdac8bb2\",0,\"number_theory_610851\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002953.lean\",\"d104797e9b07963fd235728a28f70e54db7a8cb5ca6e15ce0080bd8a5a4cd847\",0,\"algebra_610853\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002954.lean\",\"25a6cedcfce5385faf280fc3c1c0d6ea3d043bb5ec9af2762991c2c55f344633\",6,\"calculus_610862\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96054,
+      "path": "data/train/p72/numina-000590-0000-d71e5549d3a6cf1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d71e5549d3a6cf1d80d09c191a92c1529a78ba88ccbc569ef8202f04d5c64290"
+    },
+    {
+      "bytes": 53123,
+      "path": "data/dev/p72/numina-000590-0000-39f3a8799f00ef43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "39f3a8799f00ef4391a9c3a73eb39d653ec03f313bdd2dacc6ec4ebc78ff1d08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000591.json b/manifests/batches/numina/000591.json
index cf071be1a98c560390a9d769f6384de8a101a876..a8cbb7b984013bf1651d42356fe45812d6dcf04c 100644
--- a/manifests/batches/numina/000591.json
+++ b/manifests/batches/numina/000591.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000591",
   "batch_fingerprint": "48e03043786dc44af99b5139d4f1cb91df77dd2b2249db472a7bdc5d16bdd240",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000591-0000-0bca1af50c5806fe.parquet",
-      "sha256": "0bca1af50c5806fe811ea7771dbf680b0fde2e7bc9e31c4bc4f2c76c25be3e57",
-      "bytes": 139710,
-      "rows": 20,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    },
-    {
-      "path": "data/dev/numina-000591-0000-dcd4c614692a82ce.parquet",
-      "sha256": "dcd4c614692a82ce09b0fbed2837854e29d4d636efa9039eec68b897ba7e6d3f",
-      "bytes": 35916,
-      "rows": 4,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10827f06-9c70-5f63-b406-0fe025a3d393",
     "numina:7a8b04a4-68de-5685-8577-f83a5333ba05",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002957.lean\",\"d97da82497bcbc930f677de85b61c5962e0066069b2328feec0019ed35541267\",0,\"geometry_610879\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002958.lean\",\"ed5501d00e88ae08e0e486ea16dc67d247e051cd4ea15e4f89057fae8a58bc8d\",0,\"algebra_610898\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002959.lean\",\"c730a391512ae6bc567b443ec0a1b0473f3b54c89ea1312c4a988585a1e497bd\",0,\"numina.combinatocis_610904\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139710,
+      "path": "data/train/p6c/numina-000591-0000-0bca1af50c5806fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0bca1af50c5806fe811ea7771dbf680b0fde2e7bc9e31c4bc4f2c76c25be3e57"
+    },
+    {
+      "bytes": 35916,
+      "path": "data/dev/p6c/numina-000591-0000-dcd4c614692a82ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dcd4c614692a82ce09b0fbed2837854e29d4d636efa9039eec68b897ba7e6d3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000592.json b/manifests/batches/numina/000592.json
index a9529c4f9ee1eb803e3c2356a90ce67b6ab5975b..c7ceda36b3bec66fcb2230a1c9f55b00a2011e90 100644
--- a/manifests/batches/numina/000592.json
+++ b/manifests/batches/numina/000592.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000592",
   "batch_fingerprint": "2eebd6e16a0bd2480af17745d084562e363767ed15a039b0a478c73643f0f5a5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000592-0000-a053bca5a7f18acd.parquet",
-      "sha256": "a053bca5a7f18acd11ee79c93dbfc9e7039da1fafe2f026f6a5e6e3c442f321d",
-      "bytes": 145853,
-      "rows": 24,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:167ecfbe-a5fe-5669-bc7c-e7b71e629654",
     "numina:4ac5eb0c-d22e-5d41-9a0c-47dac2734d48",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002962.lean\",\"33fd1320b16cf0775f832db39e6d9a8402ea72c4b557aa31761e62337390621f\",0,\"combinatorics_610912\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002963.lean\",\"227459061e3190fc6b2a7478f3672e879c4994057f757adcb3a3b7e8515e54eb\",0,\"number_theory_610914\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002964.lean\",\"f33064b750240483d74e3dc02f0b2e33efac8e3d0bab3727e4ca57784d64726e\",0,\"combinatorics_610917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145853,
+      "path": "data/train/p6c/numina-000592-0000-a053bca5a7f18acd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a053bca5a7f18acd11ee79c93dbfc9e7039da1fafe2f026f6a5e6e3c442f321d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000593.json b/manifests/batches/numina/000593.json
index f8b20581a0b77a9dbee94fc2f19f1b2e3e5c47a0..b57225aef91804d946eb3c71dd7af93598491dfc 100644
--- a/manifests/batches/numina/000593.json
+++ b/manifests/batches/numina/000593.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000593",
   "batch_fingerprint": "0db46835dfc35f26246c3989a863621c8f360363fbec021bf4f3583d56dc45a4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000593-0000-1343428644d78109.parquet",
-      "sha256": "1343428644d781090888c4cddba22426ac8272b6bc033afb93ede3b0c9e5b0e9",
-      "bytes": 144222,
-      "rows": 25,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:193a78db-8fcc-5c33-ace6-d2330930828e",
     "numina:1f888d13-14f0-55fa-a4c6-15e461a1cb86",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002967.lean\",\"c16299d99040c4ec79f95265f47d13131e5405c8fc743fe4cdb456afd5c20c0d\",0,\"logic_and_puzzles_610922\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002968.lean\",\"645248ec58381a49e21fbf8d083e172f31547394acfbb7c04763a4a9c1408db5\",0,\"algebra_610924\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002969.lean\",\"a5215ee20dd23b546e4e8c4bb619f070d33dd2c2c46fa83d96afd9175efea212\",0,\"combinatorics_610925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144222,
+      "path": "data/train/p5a/numina-000593-0000-1343428644d78109.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1343428644d781090888c4cddba22426ac8272b6bc033afb93ede3b0c9e5b0e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000594.json b/manifests/batches/numina/000594.json
index b9276a2301bd536b6518d1d78e427bfda833cb64..c922305022671aa06bb2209879cf55b241cafa58 100644
--- a/manifests/batches/numina/000594.json
+++ b/manifests/batches/numina/000594.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000594",
   "batch_fingerprint": "7a85c358db8ff77a849c3e432d776e6218f287029bd858928e3539f2f9631d48",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000594-0000-0b438d3bdb774ef9.parquet",
-      "sha256": "0b438d3bdb774ef9d756f90a2807a6b40a6d549fa12ac18741575b910afee78d",
-      "bytes": 293426,
-      "rows": 33,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000594-0000-7ea55493104335e8.parquet",
-      "sha256": "7ea55493104335e87da846490bbfa28cb572bb7f29bcaa16ea65cfc973884b0d",
-      "bytes": 320504,
-      "rows": 34,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:540fed94-d9b5-5932-8334-53f975dc4fa7",
     "numina:5da84596-8573-5e49-a37f-7021c25c527c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002972.lean\",\"6ad9eec43879f407f106fa30ad7fbacdd49fe39ca8b9ad80ccb303c0bbaf405a\",0,\"algebra_610930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002973.lean\",\"ca6190377154ff4eb9ebb9cd55fac75fbf7030fa903de68ab899e63a4d98ec7b\",0,\"algebra_610931\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002974.lean\",\"5a5802329d620eef01626666e1efd5b2721cac6bcc6c90d3c714485abe95000d\",0,\"algebra_610932\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293426,
+      "path": "data/train/p99/numina-000594-0000-0b438d3bdb774ef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "0b438d3bdb774ef9d756f90a2807a6b40a6d549fa12ac18741575b910afee78d"
+    },
+    {
+      "bytes": 320504,
+      "path": "data/internal_test/p99/numina-000594-0000-7ea55493104335e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "7ea55493104335e87da846490bbfa28cb572bb7f29bcaa16ea65cfc973884b0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000595.json b/manifests/batches/numina/000595.json
index f056f56a33400a7ce888b6ba9366d2d74f9aab68..a23088b4594ddf2f19167e1a91fd3cb68f67f6b8 100644
--- a/manifests/batches/numina/000595.json
+++ b/manifests/batches/numina/000595.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000595",
   "batch_fingerprint": "fc4ef96805bd99c9df386111c4545e377c1d4909fd3081cb466c7b5e8ca3561e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000595-0000-cf99c7521b1688b9.parquet",
-      "sha256": "cf99c7521b1688b9a303645ed1a8b2a9f2bed75411339a2ed6638321587f30c8",
-      "bytes": 172412,
-      "rows": 23,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7cb7ca1c-e146-5d4d-a85f-488b9993d7ab",
     "numina:a422ba9d-b817-53b9-b925-ab12137b572d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002977.lean\",\"1cf0f681d624754953b90b266a78ff8adf929938e1c8a1628e299a381bc7c1b7\",0,\"algebra_610938\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002978.lean\",\"19b3d5818d997bc08633077be7a92fcf13c8781794f896b6b7bbc2e0831957e2\",0,\"number_theory_610941\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002979.lean\",\"fbe550c611f27ab62e22858f7e9a6c9627a91f90a6953f97ee618cc9a0a0a2b3\",0,\"number_theory_610944\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172412,
+      "path": "data/train/p27/numina-000595-0000-cf99c7521b1688b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "cf99c7521b1688b9a303645ed1a8b2a9f2bed75411339a2ed6638321587f30c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000596.json b/manifests/batches/numina/000596.json
index ca539a6c7d6939b72f09712335c094a160de7808..6b0ead438a7bc04daf11ab6e0d4c1ca9aaed3bda 100644
--- a/manifests/batches/numina/000596.json
+++ b/manifests/batches/numina/000596.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000596",
   "batch_fingerprint": "57258c804c5092f9de508213a732bb80cc0e253a65a08b9b3f61b97b0d3dd40a",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:4573833b-1174-53fc-a798-964cc933036e",
+    "numina:49d08953-ca77-574d-bbce-fc852fceefa8",
+    "numina:597b366c-85d0-5d92-8de5-54757e5fafb4",
+    "numina:cbc9c73c-bf16-55e4-9d5d-b9b6419b5a5d",
+    "numina:ce6ccc4d-1768-5271-85d7-bfe910dcb73a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002980.lean\",\"2ff03576f1d924111ee5a0af5451aee6571a086981b6017d6bb3c0b884e8e342\",0,\"algebra_610946\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002981.lean\",\"12c6fbea8566f8932da1c5b0a57b104cdb6a86e218633dcb09084060bde90ea3\",0,\"number_theory_610949\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002982.lean\",\"68e3423e8c959069697ca46e324835be5679e7d6c66593d4b00963e108e42a57\",0,\"number_theory_610950\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002983.lean\",\"9944473e2a82f4e2c777e895f155cb0fd5c64a0f8b247e509553467b168c581c\",1,\"algebra_610957\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002984.lean\",\"74e56754c3c5cde9610093ea784e4677fb20d81b64115f15b6f0ee7dd064d0a0\",0,\"algebra_610958\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000596-0000-1d3d27914ff11a5d.parquet",
-      "sha256": "1d3d27914ff11a5d42f47605e1b43af25a99a52b917df58693b9e803d227fa36",
       "bytes": 703672,
+      "path": "data/train/p98/numina-000596-0000-1d3d27914ff11a5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
+      "sha256": "1d3d27914ff11a5d42f47605e1b43af25a99a52b917df58693b9e803d227fa36"
     },
     {
-      "path": "data/train/numina-000596-0001-9604907fc9cb8d16.parquet",
-      "sha256": "9604907fc9cb8d1620255bfc8d43ae7339528cd56ec6149d8db8e8865579d95b",
       "bytes": 74731,
+      "path": "data/train/p98/numina-000596-0001-9604907fc9cb8d16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
+      "sha256": "9604907fc9cb8d1620255bfc8d43ae7339528cd56ec6149d8db8e8865579d95b"
     },
     {
-      "path": "data/dev/numina-000596-0000-53c42e44795124a6.parquet",
-      "sha256": "53c42e44795124a659b09cafd39388546030604f5912306cb23ec795dcef9757",
       "bytes": 44738,
+      "path": "data/dev/p98/numina-000596-0000-53c42e44795124a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
+      "sha256": "53c42e44795124a659b09cafd39388546030604f5912306cb23ec795dcef9757"
     },
     {
-      "path": "data/internal_test/numina-000596-0000-df2df4e712877a23.parquet",
-      "sha256": "df2df4e712877a2347c00bfd9b4a406fa83111e8fac3d7450cfaf6305cf18966",
       "bytes": 33491,
+      "path": "data/internal_test/p98/numina-000596-0000-df2df4e712877a23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
+      "sha256": "df2df4e712877a2347c00bfd9b4a406fa83111e8fac3d7450cfaf6305cf18966"
     }
-  ],
-  "proof_ids": [
-    "numina:4573833b-1174-53fc-a798-964cc933036e",
-    "numina:49d08953-ca77-574d-bbce-fc852fceefa8",
-    "numina:597b366c-85d0-5d92-8de5-54757e5fafb4",
-    "numina:cbc9c73c-bf16-55e4-9d5d-b9b6419b5a5d",
-    "numina:ce6ccc4d-1768-5271-85d7-bfe910dcb73a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002980.lean\",\"2ff03576f1d924111ee5a0af5451aee6571a086981b6017d6bb3c0b884e8e342\",0,\"algebra_610946\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002981.lean\",\"12c6fbea8566f8932da1c5b0a57b104cdb6a86e218633dcb09084060bde90ea3\",0,\"number_theory_610949\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002982.lean\",\"68e3423e8c959069697ca46e324835be5679e7d6c66593d4b00963e108e42a57\",0,\"number_theory_610950\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002983.lean\",\"9944473e2a82f4e2c777e895f155cb0fd5c64a0f8b247e509553467b168c581c\",1,\"algebra_610957\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002984.lean\",\"74e56754c3c5cde9610093ea784e4677fb20d81b64115f15b6f0ee7dd064d0a0\",0,\"algebra_610958\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000597.json b/manifests/batches/numina/000597.json
index b16ef35aff8ac0f877f6b4530ad2884b54c05836..9a3f628cc8e79b3e211b2fe80c74fe5a4903b13e 100644
--- a/manifests/batches/numina/000597.json
+++ b/manifests/batches/numina/000597.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000597",
   "batch_fingerprint": "0c0b3aaffcde1144a446bd9e8cf7028a21c5e2c1d684c2c2f23d78ee8e2785e2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000597-0000-c571e85b322200da.parquet",
-      "sha256": "c571e85b322200daa36af6201f37889c4082b921f76b16afed6580284627825e",
-      "bytes": 264093,
-      "rows": 50,
-      "revision": "60340c7a37a2513ec16d613af160bac6af9b941a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b9bb901-6065-5222-b368-b61fac1ee66e",
     "numina:593b93b5-b608-537c-a286-44b01d5cc85b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002987.lean\",\"4a75c293bc3a84327182b98c49cdf4d35318ab3ede3320913c2ec678613f6ac4\",0,\"combinatorics_610967\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002988.lean\",\"b2ec33a8c409d56f0945203d6083d3aae7009ff2a7b6b0826759886f64c86c72\",0,\"Combinatorics_610969\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002989.lean\",\"7de5b117a085b0ba7db89fd3c73f0c56fd48071408c3d9fb711480792fee6544\",0,\"number_theory_610971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264093,
+      "path": "data/train/pb1/numina-000597-0000-c571e85b322200da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "c571e85b322200daa36af6201f37889c4082b921f76b16afed6580284627825e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000598.json b/manifests/batches/numina/000598.json
index db8cb24fee403b571229ab0d3ec307101e31132e..7749c271024b85573fac62ea1f760002508224ab 100644
--- a/manifests/batches/numina/000598.json
+++ b/manifests/batches/numina/000598.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000598",
   "batch_fingerprint": "02d4601a28e1684f6a096427c013c2e13f0915b6013c72cc4b008fbc70ffa525",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000598-0000-cd72f8c08e8dddd1.parquet",
-      "sha256": "cd72f8c08e8dddd128aec11468c80e7210c2b9120171b8beded8bde8b6ef89bb",
-      "bytes": 214809,
-      "rows": 30,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/internal_test/numina-000598-0000-e1425f49d71debae.parquet",
-      "sha256": "e1425f49d71debae81dcf2b1b71919b4f6182c6761703776a68380cd70fed410",
-      "bytes": 49604,
-      "rows": 4,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07f7baf1-9690-5960-90c7-1dd0fa49c36b",
     "numina:347c7ac7-b7fe-5b24-baa1-2fabdb392af9",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002991.lean\",\"249c9f771ab1e76502a8cdb21711c66d16250ebc3236bbaa4380240cdf4bb987\",0,\"number_theory_60864\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002993.lean\",\"67989c8fbaa2ad173bc3fd971f235a1b114e76f3ddae54410b28d2b98df812e7\",0,\"algebra_610977\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002994.lean\",\"121fe45de1033e0d3907b5b41ef3bd7cf4285a202f5d07cfa98bddd217dc9e56\",0,\"number_theory_610978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214809,
+      "path": "data/train/p17/numina-000598-0000-cd72f8c08e8dddd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "cd72f8c08e8dddd128aec11468c80e7210c2b9120171b8beded8bde8b6ef89bb"
+    },
+    {
+      "bytes": 49604,
+      "path": "data/internal_test/p17/numina-000598-0000-e1425f49d71debae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e1425f49d71debae81dcf2b1b71919b4f6182c6761703776a68380cd70fed410"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000599.json b/manifests/batches/numina/000599.json
index 810af3faf3b0734e48c66acc2299568c1187f972..16a3879a65715f173e5eb5798afcfaea734ac492 100644
--- a/manifests/batches/numina/000599.json
+++ b/manifests/batches/numina/000599.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000599",
   "batch_fingerprint": "3d248213d4aa05544d6d103c9a32ea478a38bf845269f6de3cf29ced7f431244",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000599-0000-4cfb5c5ba81424a8.parquet",
-      "sha256": "4cfb5c5ba81424a8069b3cf0d235ec9017d514119078e65f0e2c9dcf19bf7233",
-      "bytes": 199252,
-      "rows": 21,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08242c3b-91ef-5f9c-aba1-d8d78cef9a10",
     "numina:086caa26-1592-50e4-b1ca-cf90709fb0d2",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002997.lean\",\"01c11d0586f097085785a586a653b682a5bce00a475918eea0f42487e7deb777\",1,\"combinatorics_611009\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002998.lean\",\"ab6f9cf3420765efd5a0b322cb6e5fc21cc6d36ef802001981f1db293705557e\",0,\"combinatorics_611013\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_002999.lean\",\"e200641f6289cfc5557e83f46343f50d3ed0985dcdbaba99faf0eff841444e14\",0,\"logic_puzzle_611015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199252,
+      "path": "data/train/p07/numina-000599-0000-4cfb5c5ba81424a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4cfb5c5ba81424a8069b3cf0d235ec9017d514119078e65f0e2c9dcf19bf7233"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000600.json b/manifests/batches/numina/000600.json
index 5dd5eeb85b2f59caf991429410e99e2252ceca17..a5caa7d3b5f42de9916827d4a49ad0ca457f380d 100644
--- a/manifests/batches/numina/000600.json
+++ b/manifests/batches/numina/000600.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000600",
   "batch_fingerprint": "669a2d647ead0aa6bde089a776c3c4f1d5195642822f37d24f2677685416d1cd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000600-0000-90d4a04d449a8cbc.parquet",
-      "sha256": "90d4a04d449a8cbc23a9a056632ce57ff0e95b303afb18365ec341a26e8077ee",
-      "bytes": 264848,
-      "rows": 17,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000600-0000-888b3ad551a4084f.parquet",
-      "sha256": "888b3ad551a4084f3ade40cf36191409437ef79fb49646a25ec27bc7806057e8",
-      "bytes": 59270,
-      "rows": 6,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dc73851-0a6b-5930-8274-b39278fd8b1c",
     "numina:83648f60-58c6-50bd-9b58-cb144999acba",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003002.lean\",\"c80452327c56d321051803481d638a660d46c020cf70d080a85bf412e7ae80a9\",0,\"combinatorics_611023\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003003.lean\",\"89a342df60e4ce11b7407f42c0af179a3346deb3a0e7884ec6c6dd0b0503d85d\",0,\"number_theory_611027\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003004.lean\",\"a92bb1505ee7e76bedbbde4b92e45ab61f970d5b3336041a1526c24b79dd8e87\",0,\"combinatorics_611029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264848,
+      "path": "data/train/pd3/numina-000600-0000-90d4a04d449a8cbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "90d4a04d449a8cbc23a9a056632ce57ff0e95b303afb18365ec341a26e8077ee"
+    },
+    {
+      "bytes": 59270,
+      "path": "data/internal_test/pd3/numina-000600-0000-888b3ad551a4084f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "888b3ad551a4084f3ade40cf36191409437ef79fb49646a25ec27bc7806057e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000601.json b/manifests/batches/numina/000601.json
index 8c9caae9349aabdf6af9daf3d423c142125cf9af..8cff92be69ea52271483a4f32226f68cab45407b 100644
--- a/manifests/batches/numina/000601.json
+++ b/manifests/batches/numina/000601.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000601",
   "batch_fingerprint": "6e2812fc5abe84c0fa2aeba203aee43c930c6dd8b835030e04502e61d4956a5a",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000601-0000-10367d2203c6c2d8.parquet",
-      "sha256": "10367d2203c6c2d86c4bdcce67b46dc925bf26eb386a4d5c43fc0dcbddb3f601",
-      "bytes": 161066,
-      "rows": 27,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36a5a2e9-0354-540f-8cbb-e03607e05bc6",
     "numina:55e0f4b1-ffce-5b67-a4ac-101fb21936fc",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003007.lean\",\"c063f1083f6d60ab9997e1ec0dbfcfd1f3d31a6a669d71dc6f70711ced7e27a8\",5,\"final_answer\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003008.lean\",\"91c3da179472762c878e7d412e40d996bddfdb5d77c947b39ea821cb203b3308\",0,\"calculus_611095\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003009.lean\",\"10b77bd035f7c14b2eb48b838db36e80ab60cb4e99d865839cfcc5f998b6e180\",0,\"algebra_611097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161066,
+      "path": "data/train/pd1/numina-000601-0000-10367d2203c6c2d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "10367d2203c6c2d86c4bdcce67b46dc925bf26eb386a4d5c43fc0dcbddb3f601"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000602.json b/manifests/batches/numina/000602.json
index 06c2336dc70629cd6289cef721a2555e4e9275e2..8381185e34acba866bdda20fe4cd0626d288b01e 100644
--- a/manifests/batches/numina/000602.json
+++ b/manifests/batches/numina/000602.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000602",
   "batch_fingerprint": "fd9c7f78ed6b9442084d2314a6c6e8e6ae65240a5ab7154b717230f20bf57c92",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000602-0000-a8c0134d2e31b031.parquet",
-      "sha256": "a8c0134d2e31b03158110b3d4ecaec7e9b04acc82d847d44e881dfd4ace97963",
-      "bytes": 152121,
-      "rows": 23,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000602-0000-9eb5414f9844b810.parquet",
-      "sha256": "9eb5414f9844b810455d91eec2c9dd17271a44802c63adf7ce50f905be753edd",
-      "bytes": 37871,
-      "rows": 1,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57ede10b-223b-568b-8b10-513afc245f4d",
     "numina:6d67ad51-fc69-5b85-8457-df719352cc45",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003012.lean\",\"f24859709a3b87bfeab4352424a8f6a2e21789848a1dfb60600ec54d53f4052d\",0,\"combinatorics_611114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003013.lean\",\"fa146c1c6ce291bebcedcb6134d385f518b5707f6ca21f2a2a6ebd8b0ade7dbb\",0,\"number_theory_611121\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003014.lean\",\"ae1015a907fd9380cf38b2b29cbf2bae32c7146a13de815b2a233c2462838a59\",0,\"Combination_611123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152121,
+      "path": "data/train/p59/numina-000602-0000-a8c0134d2e31b031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "a8c0134d2e31b03158110b3d4ecaec7e9b04acc82d847d44e881dfd4ace97963"
+    },
+    {
+      "bytes": 37871,
+      "path": "data/internal_test/p59/numina-000602-0000-9eb5414f9844b810.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9eb5414f9844b810455d91eec2c9dd17271a44802c63adf7ce50f905be753edd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000603.json b/manifests/batches/numina/000603.json
index ba368bf5534e353bc724d0588147a9576a095336..7aff30fdbdf15041106f84be1c49c21e001df2eb 100644
--- a/manifests/batches/numina/000603.json
+++ b/manifests/batches/numina/000603.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000603",
   "batch_fingerprint": "dedc5bdaa5f37f6772eaceb36063c99ae913e259def34ede7fb9f575bfe9b620",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000603-0000-782d6e260956622a.parquet",
-      "sha256": "782d6e260956622a645f8f39212c7d74ea12ac64755c6fc2a9fc58fca3f4db10",
-      "bytes": 354695,
-      "rows": 28,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000603-0000-2ac5f9ab6de650dc.parquet",
-      "sha256": "2ac5f9ab6de650dc9b8bf228ac9a88eb75d0009f7f25eed7cb75f666b68e04b3",
-      "bytes": 28930,
-      "rows": 1,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b852de0-74a0-56a4-b012-ed3212bbcdde",
     "numina:403c9094-21bc-54f1-ac68-8991e02164b7",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003017.lean\",\"496c090d15b4c455f66338af9b808b1feb54fc537d4e09aa8b080882829bcc98\",0,\"number_theory_611152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003018.lean\",\"368ec223b31c820b0ec56548bf3985e70ce4ca32f4709b2f7405ae989b251442\",0,\"combinatorics_611153\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003019.lean\",\"e48be6f255677957ca7184aaa09f923e1379289a6000301a438232aaf4d744d7\",0,\"algebra_611157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354695,
+      "path": "data/train/p33/numina-000603-0000-782d6e260956622a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "782d6e260956622a645f8f39212c7d74ea12ac64755c6fc2a9fc58fca3f4db10"
+    },
+    {
+      "bytes": 28930,
+      "path": "data/internal_test/p33/numina-000603-0000-2ac5f9ab6de650dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2ac5f9ab6de650dc9b8bf228ac9a88eb75d0009f7f25eed7cb75f666b68e04b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000604.json b/manifests/batches/numina/000604.json
index aadbb128794e7464950f1b7b819b9da958504cb8..7d79493f91a3c2e4f5bb4371c19c700be9173167 100644
--- a/manifests/batches/numina/000604.json
+++ b/manifests/batches/numina/000604.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000604",
   "batch_fingerprint": "bc8037fb559e416db065ed42e158a436669c90440b26d58126d3e0a3a91bc86d",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000604-0000-93367d1bdfb633bc.parquet",
-      "sha256": "93367d1bdfb633bc3e911c45b7cda86678aa701f6eb27051766cc21b461c2bed",
-      "bytes": 160423,
-      "rows": 15,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/dev/numina-000604-0000-bb4f5c72c240b543.parquet",
-      "sha256": "bb4f5c72c240b54369b640fc0738efe4ebef0cacbd01161a25e1d56c36b17218",
-      "bytes": 158471,
-      "rows": 41,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000604-0000-81ba7d7a7d9fa3ca.parquet",
-      "sha256": "81ba7d7a7d9fa3ca208ad79bbcfd63bae480a35938faac826234649914852a54",
-      "bytes": 241354,
-      "rows": 26,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c2cbf8a-d8d5-5153-bc96-b3c251e82b2f",
     "numina:6feaddac-5f78-505f-94aa-117e5fec57a3",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003022.lean\",\"df1ff7f3d182fa55ce497b2c90f98649a47d9db81a71d22025a683c9e250f8e0\",0,\"number_theory_611199\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003023.lean\",\"4a2d3aab25bfad45ce19a5f538805100369bf4d9f24646d13259a11d88657d0e\",0,\"calculus_611201\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003024.lean\",\"4a6e4831f40a3d1a740936d796dbba4aaa0fa48e9e58c76b54400030a0d7cede\",4,\"calculus_611204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160423,
+      "path": "data/train/pe6/numina-000604-0000-93367d1bdfb633bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "93367d1bdfb633bc3e911c45b7cda86678aa701f6eb27051766cc21b461c2bed"
+    },
+    {
+      "bytes": 158471,
+      "path": "data/dev/pe6/numina-000604-0000-bb4f5c72c240b543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "bb4f5c72c240b54369b640fc0738efe4ebef0cacbd01161a25e1d56c36b17218"
+    },
+    {
+      "bytes": 241354,
+      "path": "data/internal_test/pe6/numina-000604-0000-81ba7d7a7d9fa3ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "81ba7d7a7d9fa3ca208ad79bbcfd63bae480a35938faac826234649914852a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000605.json b/manifests/batches/numina/000605.json
index 0d1aabe73002e29fbe6d50fc8c5a08dbdb0754db..b4fdbf033d6b74e9ed581c101c934017a6d530f9 100644
--- a/manifests/batches/numina/000605.json
+++ b/manifests/batches/numina/000605.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000605",
   "batch_fingerprint": "de75c0d1c2205be9203a2f1bb1cb998cf40a9f1b6388c6129cc78a72d248804a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000605-0000-7c3fbb474b8084a4.parquet",
-      "sha256": "7c3fbb474b8084a43711d593373801856f1ef0f272f26c87c948d5af6495e7de",
-      "bytes": 61584,
-      "rows": 13,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36fef509-8684-5776-bfb6-443d5f917190",
     "numina:490655e6-7bdb-5245-822b-5355a7d5dddf",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003027.lean\",\"970e4223d87428cdc6f47422cd7e199b8fb7b10db9cbcf185c69f9f14ec0373f\",0,\"combinatorics_611215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003028.lean\",\"595fc1a2c125920f370e37b92c93d8347e96ad28721006a5d355beac303ea3a9\",0,\"algebra_611218\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003029.lean\",\"b4b12264ff6ae949f394684a75988f12bb8ebc74f1606a88ccf7a612b935ce87\",0,\"geometry_611219\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61584,
+      "path": "data/train/p0a/numina-000605-0000-7c3fbb474b8084a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7c3fbb474b8084a43711d593373801856f1ef0f272f26c87c948d5af6495e7de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000606.json b/manifests/batches/numina/000606.json
index a3eb2582c986d21987f429f6342a9366dc9748bd..f7419c55a246d2501b64957fe2b9323cfb18681e 100644
--- a/manifests/batches/numina/000606.json
+++ b/manifests/batches/numina/000606.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000606",
   "batch_fingerprint": "87c6fce0308cc042209112449ecc2821312867c650a3b3e325d00ede0d5e2668",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000606-0000-836f9f54cb7783fe.parquet",
-      "sha256": "836f9f54cb7783feae043c89fc2cd52c4b126c5870e1e1f19cd5fa6ad09c41d3",
-      "bytes": 158043,
-      "rows": 17,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/dev/numina-000606-0000-7022508808428a86.parquet",
-      "sha256": "7022508808428a86b75ba5a82ea847d9203f9bf8a9a132abc1d3ea667d2998d2",
-      "bytes": 236285,
-      "rows": 8,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c9fdc68-f128-54ac-987c-d331beac2578",
     "numina:405dc982-920c-5fd1-8754-64fb7fbfe96f",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003032.lean\",\"14f2ebde0b4aa7562e0052953200faf7139e08f10da5d2481164a3b7e758524e\",2,\"combinatorics_611227\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003033.lean\",\"14fd8fcf92b7b2416b5e19d8ecc3481b524571c37244e997217640291c0c6bf2\",0,\"combinatorics_23456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003034.lean\",\"f2f8ce1876fa9af0c206b3d01b3a513894d884742b78c3447cea786572f12838\",0,\"number_theory_611255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158043,
+      "path": "data/train/p6c/numina-000606-0000-836f9f54cb7783fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "836f9f54cb7783feae043c89fc2cd52c4b126c5870e1e1f19cd5fa6ad09c41d3"
+    },
+    {
+      "bytes": 236285,
+      "path": "data/dev/p6c/numina-000606-0000-7022508808428a86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7022508808428a86b75ba5a82ea847d9203f9bf8a9a132abc1d3ea667d2998d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000607.json b/manifests/batches/numina/000607.json
index c7245e808023cdf9acafddf120bf4b7e0e0557a8..b711c96cbc62db106206db131af0b7b7f81f02eb 100644
--- a/manifests/batches/numina/000607.json
+++ b/manifests/batches/numina/000607.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000607",
   "batch_fingerprint": "8aee2e4fcd204c3929f67abb81aeefceeb9a3686b3175e5f404fc701a322c7c2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000607-0000-2c8c327b5a1ea3c8.parquet",
-      "sha256": "2c8c327b5a1ea3c8b0e7f805ab0761a9fe2e1889fd4c734cdae6d051083ac250",
-      "bytes": 113375,
-      "rows": 11,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000607-0000-308a84f352f17208.parquet",
-      "sha256": "308a84f352f17208a9b4cda304c45764e5e549726b5b9e3d80ecbcd230bfa467",
-      "bytes": 69592,
-      "rows": 1,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ea623e4-8f94-5d02-822f-de40c8f6309f",
     "numina:566b543d-1172-5d72-a7d9-049790da2c68",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003037.lean\",\"54e97c5d1ce256ef263537cc7ca08b451b7a6959eed6c5729bb69e603694de85\",0,\"number_theory_611264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003038.lean\",\"77ea3463e2c4cb1f0020d09a8ee32137dcf8abb322ef2d5a439c4d42233795cb\",0,\"number_theory_611274\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003039.lean\",\"5e71bf6cc371498e712d3880e8a63e5a79d8e28e1e4061b6ccea2f18a7daec85\",0,\"combinatorics_611278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113375,
+      "path": "data/train/p66/numina-000607-0000-2c8c327b5a1ea3c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2c8c327b5a1ea3c8b0e7f805ab0761a9fe2e1889fd4c734cdae6d051083ac250"
+    },
+    {
+      "bytes": 69592,
+      "path": "data/internal_test/p66/numina-000607-0000-308a84f352f17208.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "308a84f352f17208a9b4cda304c45764e5e549726b5b9e3d80ecbcd230bfa467"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000608.json b/manifests/batches/numina/000608.json
index 5fafaa3cf7666c75f833be13bc455c50d0f4fc20..2d567926f40b679f2e2321adf3a84964fef448c4 100644
--- a/manifests/batches/numina/000608.json
+++ b/manifests/batches/numina/000608.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000608",
   "batch_fingerprint": "bc4dc6374ec15d87f53c1203491191b6e46773eec098beaffd0267a4bb462cbc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000608-0000-4505388bc67b3ec9.parquet",
-      "sha256": "4505388bc67b3ec924b4ea53ed9f3e3564cda2e4aa47fa264312e28982466e34",
-      "bytes": 811934,
-      "rows": 38,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/train/numina-000608-0001-ec7a8610b71097a6.parquet",
-      "sha256": "ec7a8610b71097a6ee98a0f207ecf01c01fa6a2175f46465960fc388fa115ef8",
-      "bytes": 1327436,
-      "rows": 9,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000608-0000-fae10f6d1fdebc46.parquet",
-      "sha256": "fae10f6d1fdebc46579206b9ae3f36fd14f49ad3faf4ac23e9289f56a8867a9a",
-      "bytes": 66138,
-      "rows": 4,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7d788c6c-e102-5575-aaf3-2332caeb43e6",
     "numina:ebe91856-ef22-54a8-a5e2-eaa78c37648d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003042.lean\",\"2903ac9b8ba0611f483f8f89eb14afc046a5b667facdcebd778c97008023f953\",0,\"calculus_611315\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003043.lean\",\"7f01ef4a17434d7bfbf6f123745797d2fbf4b558a488f9e5872d813a2a371523\",0,\"algebra_611319\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003044.lean\",\"46cbe3157ec8c61ac9411f3a9e37819f7742ebd008a418bae57ec89298147515\",0,\"combinatorics_611327\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 811934,
+      "path": "data/train/p7a/numina-000608-0000-4505388bc67b3ec9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "4505388bc67b3ec924b4ea53ed9f3e3564cda2e4aa47fa264312e28982466e34"
+    },
+    {
+      "bytes": 1327436,
+      "path": "data/train/p7a/numina-000608-0001-ec7a8610b71097a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ec7a8610b71097a6ee98a0f207ecf01c01fa6a2175f46465960fc388fa115ef8"
+    },
+    {
+      "bytes": 66138,
+      "path": "data/internal_test/p7a/numina-000608-0000-fae10f6d1fdebc46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fae10f6d1fdebc46579206b9ae3f36fd14f49ad3faf4ac23e9289f56a8867a9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000609.json b/manifests/batches/numina/000609.json
index 0bd8e5249307603e95b1042a46407ebea36d70c2..010b90903d084606f6bafa9e8ac888ec075c1478 100644
--- a/manifests/batches/numina/000609.json
+++ b/manifests/batches/numina/000609.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000609",
   "batch_fingerprint": "59df589eda3eed5c9394c640b21baabd2ecb93a48359485b4cd81f65bc3cafe4",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000609-0000-d1df9cf0da5204b6.parquet",
-      "sha256": "d1df9cf0da5204b67d2be9c5c2650de1802c2d11229f63fbd7207115986c3aba",
-      "bytes": 86401,
-      "rows": 14,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/internal_test/numina-000609-0000-119582e6ab988c06.parquet",
-      "sha256": "119582e6ab988c06494a08669c5cebb67918477d4ff6054d091b0a591c0d567f",
-      "bytes": 69376,
-      "rows": 9,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2266dc5f-518f-5bf1-b875-7093eba46f40",
     "numina:7f6a8d83-d903-5d29-a4aa-437c3f66260f",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003046.lean\",\"a7e03428ff85623aa67781f0cc4fa78bf48acfed322fb0a8bbc6ba169c740d7a\",0,\"combinatorics_611330\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003047.lean\",\"8b8c4f67a4c93d5fc7eef032553eb8f5819c43da142f3e0ca38eaa881b621654\",0,\"algebra_611334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003049.lean\",\"dd3502a92acac190b3ec67574012a80866dc423b56208d852a32a247451914b9\",0,\"algebra_611368\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86401,
+      "path": "data/train/pdf/numina-000609-0000-d1df9cf0da5204b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d1df9cf0da5204b67d2be9c5c2650de1802c2d11229f63fbd7207115986c3aba"
+    },
+    {
+      "bytes": 69376,
+      "path": "data/internal_test/pdf/numina-000609-0000-119582e6ab988c06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "119582e6ab988c06494a08669c5cebb67918477d4ff6054d091b0a591c0d567f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000610.json b/manifests/batches/numina/000610.json
index 24f787b991e65df4d3a4039a7b4cf2111c43aea5..c752f723c7b103694f94d6b40d5441e3f5e00da0 100644
--- a/manifests/batches/numina/000610.json
+++ b/manifests/batches/numina/000610.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000610",
   "batch_fingerprint": "6d7746cc74086c020d739801b9912f1983b5475b00604eb7302eb9d8cac1055d",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000610-0000-8dffdbe5137ca2f3.parquet",
-      "sha256": "8dffdbe5137ca2f3d907ea5d51d606997c8a980ae729319dee4fa2422d17afef",
-      "bytes": 293770,
-      "rows": 15,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4b9c9927-d032-5324-8867-2989053fc242",
     "numina:69eadb86-7ecf-570e-b6db-d179a07c4666",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003052.lean\",\"d5e4681a43bc646f5382f9ea7c75c962948666a65c12bccd09f293a076ff9fe8\",0,\"algebra_611425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003053.lean\",\"75cfba8c613f4c0cfa4ea97ac9b4fc067a10e41c70aac0550ee533a07906d2fd\",0,\"combinatorics_611426\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003054.lean\",\"335b2179af22501bd4bb7b5a9766c1409e64c0ecb25eff820167870142e7c4d1\",0,\"Algebra_611442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293770,
+      "path": "data/train/p5a/numina-000610-0000-8dffdbe5137ca2f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8dffdbe5137ca2f3d907ea5d51d606997c8a980ae729319dee4fa2422d17afef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000611.json b/manifests/batches/numina/000611.json
index b815313628e275dfecf5183b4e59987d7c889de3..e0415789780c7a3b4a4fce97e7b0b54593e191be 100644
--- a/manifests/batches/numina/000611.json
+++ b/manifests/batches/numina/000611.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000611",
   "batch_fingerprint": "aba44a883557eb2377eca70eda68a5c62ff41ee925ac9c422cb662547b5f1302",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000611-0000-d178878ecb270585.parquet",
-      "sha256": "d178878ecb2705853f142587b54ad5a7227dd08dca506ce3c66296c298298d4f",
-      "bytes": 101756,
-      "rows": 17,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    },
-    {
-      "path": "data/internal_test/numina-000611-0000-962ca044358174d0.parquet",
-      "sha256": "962ca044358174d07bc74933f83e994c3bc21e451906d5259220003360b1f004",
-      "bytes": 50786,
-      "rows": 1,
-      "revision": "2f2ed200da90fa5b0e318935d727d4ea21b084a1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2240d846-80dc-57d9-998f-af092ddb6572",
     "numina:5320c49d-c7e7-5a86-bb1c-a37ef54be9fb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003057.lean\",\"1b2cba8814f5c3d7768da4c2d8be3fcd9564d01f2293c6c42c3acf6aef010ba9\",0,\"combinatorics_611448\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003058.lean\",\"8a910419f0bf0ef384f1e95e562c8855a877a22740c37ad6fa6b3d3b3afea3f2\",0,\"combinatorics_611454\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003059.lean\",\"aae852f2678eb73f59cc22d8b0003fee69f9b79f0aaa67d2c079015549aaa025\",0,\"geometry_611462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101756,
+      "path": "data/train/p5a/numina-000611-0000-d178878ecb270585.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d178878ecb2705853f142587b54ad5a7227dd08dca506ce3c66296c298298d4f"
+    },
+    {
+      "bytes": 50786,
+      "path": "data/internal_test/p5a/numina-000611-0000-962ca044358174d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "962ca044358174d07bc74933f83e994c3bc21e451906d5259220003360b1f004"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000612.json b/manifests/batches/numina/000612.json
index f3c863d68c5c983094ba7d7ac007aff576a9cb02..5017e4cc0298984e0720eb9aa53bc11a19bb5ef4 100644
--- a/manifests/batches/numina/000612.json
+++ b/manifests/batches/numina/000612.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000612",
   "batch_fingerprint": "4d1cb3f98af9607b9c95d98d803222f4c76030d0203083ab6abfa0662dc616e0",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000612-0000-b23859f861749b0b.parquet",
-      "sha256": "b23859f861749b0bacb7b272de69dd4aa33ee0c2fba9790ea32570c61cb59acf",
-      "bytes": 589974,
-      "rows": 33,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01e9e21a-4428-577e-9ef4-c0aaa3e7cfbe",
     "numina:154c6346-7e13-5011-a284-1a849b0bb4fd",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003062.lean\",\"0dbf83d3cf65c8e9f075b03a3d8bcb10b2df03fddbb38dabfac5f3965c96c03e\",0,\"algebra_611482\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003063.lean\",\"0d778412d0d13d9ecef626e89972959593eca2a7b21c0a2becc14e07435b6574\",0,\"combinatorics_611521\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003064.lean\",\"e5bc575260c813f99bf437b2599884101ccf07823bc19c8228e2e6abdda40033\",0,\"number_theory_611546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589974,
+      "path": "data/train/p9d/numina-000612-0000-b23859f861749b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b23859f861749b0bacb7b272de69dd4aa33ee0c2fba9790ea32570c61cb59acf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000613.json b/manifests/batches/numina/000613.json
index 1fca601a8f8416c9bcd44d58edf1598d0a9e4234..0c217705ed266337ab16193564a2a67f48a639d9 100644
--- a/manifests/batches/numina/000613.json
+++ b/manifests/batches/numina/000613.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000613",
   "batch_fingerprint": "fba5dc23d2b3eca23977cb4cb485846bce18b033de05ec31f95d3e1fa8dede88",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000613-0000-98fbd0c9e09a859c.parquet",
-      "sha256": "98fbd0c9e09a859c39a64ab84ad91e8e9f16baa931f2969e40f51528d5c0fb68",
-      "bytes": 200136,
-      "rows": 26,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000613-0000-624cc0f70b1c97ae.parquet",
-      "sha256": "624cc0f70b1c97ae02c04f528a92147bf3d2dc390e8674f2820e5321f22d0d46",
-      "bytes": 83895,
-      "rows": 3,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16f86aa9-26f8-5eed-8eca-62e5eb0bf088",
     "numina:5784ab87-976b-51f1-b6cc-9b9e46fe561d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003067.lean\",\"d3347554e38443e57772c3ab830ed8822305b54b360fc9ee590f53a4bf00f018\",1,\"number_theory_611880\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003068.lean\",\"35d2da6ce6f4656874866efcaebecb6ff630fae2a4a042adce102a5c9dc40258\",0,\"my_favorite_theorem_prop_is_abelian\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003069.lean\",\"69e0cd07128920d52410bf8ee25e3edd122f476cf5be50f0db1fb5f8582505af\",2,\"number_theory_612576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200136,
+      "path": "data/train/pc5/numina-000613-0000-98fbd0c9e09a859c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "98fbd0c9e09a859c39a64ab84ad91e8e9f16baa931f2969e40f51528d5c0fb68"
+    },
+    {
+      "bytes": 83895,
+      "path": "data/internal_test/pc5/numina-000613-0000-624cc0f70b1c97ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "624cc0f70b1c97ae02c04f528a92147bf3d2dc390e8674f2820e5321f22d0d46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000614.json b/manifests/batches/numina/000614.json
index 768b1b05132ef5b915a0913c8acd73c18071cc71..091cb938ad5270de3c70eeba9904dc09fe41dd56 100644
--- a/manifests/batches/numina/000614.json
+++ b/manifests/batches/numina/000614.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000614",
   "batch_fingerprint": "75c03b3c3651658ce6329c840e031ae934a6165c8553162b3529905419d80f32",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000614-0000-b64872feec3ceae7.parquet",
-      "sha256": "b64872feec3ceae72dacf000565d4cb38261d6246cc745e08b4825b9cf32df81",
-      "bytes": 653308,
-      "rows": 29,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5bc74a02-670a-58b8-b71c-ffdeae50d9fc",
     "numina:5e0fc268-5c59-56a6-b001-8501b6ffc5bb",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003072.lean\",\"319aafb655a2b392d5cc299b81f132abc74a0090fd576a9943aaa11c5f3840c0\",2,\"n_equal_exactly_one\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003073.lean\",\"044163b5c3d77f6974b03dbb0a8e96c53d58410077775fcfffc2e0afca37ee20\",0,\"number_theory_613261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003074.lean\",\"36d288d3f1c151b5374a149fe566e927a898f343e12c2475a6cfdf6d77944ae7\",0,\"number_theory_613635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 653308,
+      "path": "data/train/p4b/numina-000614-0000-b64872feec3ceae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b64872feec3ceae72dacf000565d4cb38261d6246cc745e08b4825b9cf32df81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000615.json b/manifests/batches/numina/000615.json
index 77970266cb612aa447c2f16740edc291f64ca1ca..1a411c7860b0926bf00b1cb17cef2198c00ada19 100644
--- a/manifests/batches/numina/000615.json
+++ b/manifests/batches/numina/000615.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000615",
   "batch_fingerprint": "7e6efec29dad860b4f393ecbf529abf59d3e1987ba8f1fc5762f1347dde83593",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000615-0000-b2b52e1725226c2c.parquet",
-      "sha256": "b2b52e1725226c2cc7145c5484b88e0e727ba1ce9f443ac84954742b5cb4d8d7",
-      "bytes": 1300531,
-      "rows": 42,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/train/numina-000615-0001-04c8867d181bba6d.parquet",
-      "sha256": "04c8867d181bba6db00e27218af755ba3a84e2b25807b555cb29c169542396a2",
-      "bytes": 1062830,
-      "rows": 28,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31701e61-12f5-54e5-8414-1e61efe36fdd",
     "numina:b54d8321-7160-55eb-8351-882234112143",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003077.lean\",\"0412edd46bbb79c4674d7016de9116f0470cc617fcdf8baa4684ca20c2c2cf88\",0,\"algebra_2467\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003078.lean\",\"1d028f3018ea27185850847377898c2e24182ca2341e72fa99639d4f0fa68a3e\",0,\"algebra_2589\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003079.lean\",\"ce6ceeca71aa8fbc0b1df16eecc40836d4be9bf7b82df5e7219e0485f817a608\",0,\"algebra_615798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1300531,
+      "path": "data/train/p9b/numina-000615-0000-b2b52e1725226c2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "b2b52e1725226c2cc7145c5484b88e0e727ba1ce9f443ac84954742b5cb4d8d7"
+    },
+    {
+      "bytes": 1062830,
+      "path": "data/train/p9b/numina-000615-0001-04c8867d181bba6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "04c8867d181bba6db00e27218af755ba3a84e2b25807b555cb29c169542396a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000616.json b/manifests/batches/numina/000616.json
index 6bfc47fae1b67ca5e972ab4b4366514197c9e67d..4d2ddc74e6870f2cffca6fa7821e9261c7f66356 100644
--- a/manifests/batches/numina/000616.json
+++ b/manifests/batches/numina/000616.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000616",
   "batch_fingerprint": "56eb265c78848d9578429d9840b63d16de36d3e9756e8d5eb4ecf46587fdd85d",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000616-0000-c25250465ca99b38.parquet",
-      "sha256": "c25250465ca99b389fee0b7f43260af62a65af08ea3f7a799984d8ba5b7c4910",
-      "bytes": 291084,
-      "rows": 17,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/internal_test/numina-000616-0000-75a2e18ac0da6e21.parquet",
-      "sha256": "75a2e18ac0da6e21e1229796411ace51138e54335726e936568da1974b0f202c",
-      "bytes": 42303,
-      "rows": 4,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3553b3f6-2562-57aa-b977-9ebf0e1b5bfc",
     "numina:39b00e7e-d0ea-5f97-b350-02a331d1c374",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003081.lean\",\"2c98ce8ee4b78eab908a3bb72bf5fbea2eb1d1926fa36dc1f1a077f02246d129\",3,\"number_theory_616990\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003082.lean\",\"3fc6f347f4900fec3e996bd70d0ac861fd145d9fa1fac0f15bda162822e213ab\",0,\"inequalities_617513\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003083.lean\",\"0ff17566cd5de291dce1ded363abfa82aefa79a0a767db499b6106cde1a1fb46\",0,\"number_theory_617801\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291084,
+      "path": "data/train/pe2/numina-000616-0000-c25250465ca99b38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c25250465ca99b389fee0b7f43260af62a65af08ea3f7a799984d8ba5b7c4910"
+    },
+    {
+      "bytes": 42303,
+      "path": "data/internal_test/pe2/numina-000616-0000-75a2e18ac0da6e21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "75a2e18ac0da6e21e1229796411ace51138e54335726e936568da1974b0f202c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000617.json b/manifests/batches/numina/000617.json
index 66571d9dcfaf636735f496e8055cf6a052366331..2b18870be56d7a63efc139dd97d4381a43310f09 100644
--- a/manifests/batches/numina/000617.json
+++ b/manifests/batches/numina/000617.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000617",
   "batch_fingerprint": "dbc141670218a04f702eba5962bc554c3b628f1883d54a4646af463545d5a1a7",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000617-0000-812bb8b2dec7d94b.parquet",
-      "sha256": "812bb8b2dec7d94b62261e59470100a0a19ee71e0dac46c8f608ebba08819b5a",
-      "bytes": 329608,
-      "rows": 16,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/dev/numina-000617-0000-8f419816259fcdc7.parquet",
-      "sha256": "8f419816259fcdc710b0ae6c1f60c0fb916d4f80e9171479ea379a083614c5c5",
-      "bytes": 57061,
-      "rows": 3,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:109efa44-b440-50fc-9162-1b1e664aaca6",
     "numina:59b7151e-95f9-57ce-80d3-deaf7356cd27",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003087.lean\",\"0d88f3d80088f97b41ea30ba6a036593c324b888574ed2ffa72e988b49d64a6f\",0,\"number_theory_619229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003088.lean\",\"39cce2f2ee4205bd2ba466a163fcc3f77a5eb4ddc236bafd959485782e5ac6af\",2,\"number_theory_619280.number_theory_619280\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003089.lean\",\"62b628cc300eece32f51dc432caa15d62b590f0f9eafba35dca87bc2cfea808b\",1,\"algebra_619416\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329608,
+      "path": "data/train/p63/numina-000617-0000-812bb8b2dec7d94b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "812bb8b2dec7d94b62261e59470100a0a19ee71e0dac46c8f608ebba08819b5a"
+    },
+    {
+      "bytes": 57061,
+      "path": "data/dev/p63/numina-000617-0000-8f419816259fcdc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8f419816259fcdc710b0ae6c1f60c0fb916d4f80e9171479ea379a083614c5c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000618.json b/manifests/batches/numina/000618.json
index 84ae3999d7dfd03a239d0360c3c924e7ebb0b11e..1a263b357aa47fa25e7ad78ce3e02bcaec354b74 100644
--- a/manifests/batches/numina/000618.json
+++ b/manifests/batches/numina/000618.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000618",
   "batch_fingerprint": "2a97334396407dc4addb797b9d88d992f8cd6efd73d87fa40142a86765440b28",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000618-0000-4eef739c40980294.parquet",
-      "sha256": "4eef739c40980294456e55f733b1d10f32e02edb1c5a5ab5c455318cae430ad3",
-      "bytes": 517043,
-      "rows": 27,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    },
-    {
-      "path": "data/internal_test/numina-000618-0000-e4403d4727751e60.parquet",
-      "sha256": "e4403d4727751e6071e8bbab282a3ffe2fa358b439b82ada1b8746afb83175be",
-      "bytes": 193578,
-      "rows": 4,
-      "revision": "92016396d2588ccc2fdf4a5f53dc339082b884fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08c7050a-1911-559a-b204-dd2279b3109c",
     "numina:5579e84c-4038-5682-8480-d2a1ef50c5d2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003092.lean\",\"999fa9dac19032cb4e00c42b106d830190cadd3c2f5a324437bbc768a588a195\",0,\"algebra_620312\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003093.lean\",\"ac76b2931ba6684c0075b165af3c0c72a49d019051a497507646764b4409219c\",0,\"algebra_621988\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003094.lean\",\"d3e46a447ccb73703f8d34a1aa5e4fb6894223c9e572c57f5f7cf3610fa4dbc0\",0,\"algebra_13478\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517043,
+      "path": "data/train/pa8/numina-000618-0000-4eef739c40980294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "4eef739c40980294456e55f733b1d10f32e02edb1c5a5ab5c455318cae430ad3"
+    },
+    {
+      "bytes": 193578,
+      "path": "data/internal_test/pa8/numina-000618-0000-e4403d4727751e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e4403d4727751e6071e8bbab282a3ffe2fa358b439b82ada1b8746afb83175be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000619.json b/manifests/batches/numina/000619.json
index ce664fe9da46206ddd8e5bbc629f16580c67563f..4577fec08e452ac4942aa05aa73e39b66fef9137 100644
--- a/manifests/batches/numina/000619.json
+++ b/manifests/batches/numina/000619.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000619",
   "batch_fingerprint": "1b641d5c92abe6eab75b386a7d41a8224f9779ce0e0c482d75b4012200280897",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:6f30b1a1-9374-5139-83c5-6be5cdf969fe",
+    "numina:752d6046-f99e-568a-beae-553789b1b8b4",
+    "numina:8253e589-abde-5f49-a783-bde19d16d4c0",
+    "numina:bd2775f8-46fb-53d5-9664-4708d4711abf"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003095.lean\",\"c75b4a6a4beeaa0f6bdbb4201bd27ccba5b14fdc33afbbc2424275f59d3eac3d\",2,\"number_theory_623031\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003096.lean\",\"ae624ad285be69baea6fb49bfd0003fd114db9a097d6852a106c71d64a520ea3\",0,\"my_favorite_theorem\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003097.lean\",\"c1be7a4e46dc328e67684182a97287f97c869b03d6a56173861be5a6a87d469e\",0,\"algebra_623538\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003098.lean\",\"571e31854a5dbed7ecfe38a099c04656fed8c5f7c2e835d6223358a9a02feb9f\",0,\"algebra_623595\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000619-0000-f3fe58d8e8441e92.parquet",
-      "sha256": "f3fe58d8e8441e92e5b082345fa45032cd98d9fa97607fe260bce8f88b5b4795",
       "bytes": 348403,
+      "path": "data/train/pce/numina-000619-0000-f3fe58d8e8441e92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
+      "sha256": "f3fe58d8e8441e92e5b082345fa45032cd98d9fa97607fe260bce8f88b5b4795"
     },
     {
-      "path": "data/train/numina-000619-0001-f525d18bc0aed470.parquet",
-      "sha256": "f525d18bc0aed470d4f60932e4908d614090c057437e9bd53d5f610734b8b585",
       "bytes": 598542,
+      "path": "data/train/pce/numina-000619-0001-f525d18bc0aed470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
+      "sha256": "f525d18bc0aed470d4f60932e4908d614090c057437e9bd53d5f610734b8b585"
     },
     {
-      "path": "data/train/numina-000619-0002-a707f9b3105cb8b0.parquet",
-      "sha256": "a707f9b3105cb8b04542e3c3e208411fc20f874d649a6eb18ba996f584884bc5",
       "bytes": 272632,
+      "path": "data/train/pce/numina-000619-0002-a707f9b3105cb8b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
+      "sha256": "a707f9b3105cb8b04542e3c3e208411fc20f874d649a6eb18ba996f584884bc5"
     }
-  ],
-  "proof_ids": [
-    "numina:6f30b1a1-9374-5139-83c5-6be5cdf969fe",
-    "numina:752d6046-f99e-568a-beae-553789b1b8b4",
-    "numina:8253e589-abde-5f49-a783-bde19d16d4c0",
-    "numina:bd2775f8-46fb-53d5-9664-4708d4711abf"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003095.lean\",\"c75b4a6a4beeaa0f6bdbb4201bd27ccba5b14fdc33afbbc2424275f59d3eac3d\",2,\"number_theory_623031\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003096.lean\",\"ae624ad285be69baea6fb49bfd0003fd114db9a097d6852a106c71d64a520ea3\",0,\"my_favorite_theorem\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003097.lean\",\"c1be7a4e46dc328e67684182a97287f97c869b03d6a56173861be5a6a87d469e\",0,\"algebra_623538\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003098.lean\",\"571e31854a5dbed7ecfe38a099c04656fed8c5f7c2e835d6223358a9a02feb9f\",0,\"algebra_623595\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000620.json b/manifests/batches/numina/000620.json
index 8c34fa4efaa8eb1aff5a9ce5260bb51b3bf6ae24..f510a953c17bf43f1e18d53f4e5ab2e79495821a 100644
--- a/manifests/batches/numina/000620.json
+++ b/manifests/batches/numina/000620.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000620",
   "batch_fingerprint": "fabb59722b3d76349a33f73982af016310c678317cfddb8eae5b620823d77d8a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000620-0000-df20f1c5fbdc6d06.parquet",
-      "sha256": "df20f1c5fbdc6d065b9089ab6f5462b4db5410aa012d1ab0a64db8126ee2d87c",
-      "bytes": 709852,
-      "rows": 66,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/train/numina-000620-0001-71053ab950947627.parquet",
-      "sha256": "71053ab9509476276f2d391f4388c1a66fedaf9cfb82f4f9829469745f959a34",
-      "bytes": 249230,
-      "rows": 40,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5d85d496-773d-5fbc-a6a1-d9fb8da87adb",
     "numina:88e6b627-6fe9-556a-9ef9-fc6e3a42a69d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003102.lean\",\"2ac9786d5b023f296ae594ad49f2469157d91a4b2883f962a9d8cea516d6d902\",0,\"algebra_624323\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003103.lean\",\"7b8ec7c20a80200bb02404b965b2623efcce62242cd2d2e1b85ccf33392fa23e\",2,\"algebra_624393\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003104.lean\",\"e17cb7ce4d74c97dcfcbbc9c4517749ce8f3ca944868e6530795e1973a9cbb34\",0,\"algebra_624531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 709852,
+      "path": "data/train/pd6/numina-000620-0000-df20f1c5fbdc6d06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "df20f1c5fbdc6d065b9089ab6f5462b4db5410aa012d1ab0a64db8126ee2d87c"
+    },
+    {
+      "bytes": 249230,
+      "path": "data/train/pd6/numina-000620-0001-71053ab950947627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "71053ab9509476276f2d391f4388c1a66fedaf9cfb82f4f9829469745f959a34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000621.json b/manifests/batches/numina/000621.json
index 952728a389a46fd2499b7e267ad34c1110c04cbe..05398c8cef45b28fde52da171274e3ba24c9c7ad 100644
--- a/manifests/batches/numina/000621.json
+++ b/manifests/batches/numina/000621.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000621",
   "batch_fingerprint": "04b33714ba3551cc33a7138b1428f3107b4814b93453184263c74de080f8375d",
   "evidence": {
@@ -19,69 +18,70 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:51750097-b115-5c31-a68e-40c836fb17c4",
+    "numina:afd88c54-6c38-537a-888b-85dc44e4ce01",
+    "numina:de86ee3c-0076-58ed-9fae-2fc85f38737b",
+    "numina:e091955b-df5c-5846-83be-de2fb544a3bc",
+    "numina:febe5b07-d496-589a-8701-6eda79b201ef"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003105.lean\",\"6db358c6c0b61126134a2fd1785ea63e0bbd572a8939e9b654dd22b050351c62\",0,\"number_theory_2351\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003106.lean\",\"a46067bd3baaa5a24eab2558b740e100700349edf62930e1dcbed97cdb7914e7\",0,\"algebra_624715\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003107.lean\",\"be7dc826c9c1ab7b08369dcb812e94e7ea2ac2ee21fe2cb7a4b2b44d7fe33b12\",0,\"algebra_624858\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003108.lean\",\"a1534a0d40930dd881eec585ec1c5b899f3062532a473d2d21c39da9cd009428\",0,\"number_theory_624864\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003109.lean\",\"f2e65a67b0b71a4bc348d8a1c760fc89b01d7aadc5c3c44a598ebf92b05adf73\",0,\"algebra_624931\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000621-0000-93126fe40024d8b7.parquet",
-      "sha256": "93126fe40024d8b73d33c6e879cb3f582ca5908752cc6ad59131e4172308cf6d",
       "bytes": 390802,
+      "path": "data/train/p6c/numina-000621-0000-93126fe40024d8b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 32,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "93126fe40024d8b73d33c6e879cb3f582ca5908752cc6ad59131e4172308cf6d"
     },
     {
-      "path": "data/train/numina-000621-0001-32b70d77c6b53a55.parquet",
-      "sha256": "32b70d77c6b53a55a6fa5796c62709db9f97ab5c625db814df87ec3323a26a12",
       "bytes": 193012,
+      "path": "data/train/p6c/numina-000621-0001-32b70d77c6b53a55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "32b70d77c6b53a55a6fa5796c62709db9f97ab5c625db814df87ec3323a26a12"
     },
     {
-      "path": "data/dev/numina-000621-0000-d1def951b8cd9b57.parquet",
-      "sha256": "d1def951b8cd9b57c4c2cda54eff30ac179aa4d26386ede737460535910fbcdc",
       "bytes": 829695,
+      "path": "data/dev/p6c/numina-000621-0000-d1def951b8cd9b57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 47,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "d1def951b8cd9b57c4c2cda54eff30ac179aa4d26386ede737460535910fbcdc"
     },
     {
-      "path": "data/dev/numina-000621-0001-d2641cba2959ef4d.parquet",
-      "sha256": "d2641cba2959ef4d023d841dbc69e8f9f863ee03e0784f3a1179240d9314d214",
       "bytes": 943933,
+      "path": "data/dev/p6c/numina-000621-0001-d2641cba2959ef4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 34,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "d2641cba2959ef4d023d841dbc69e8f9f863ee03e0784f3a1179240d9314d214"
     },
     {
-      "path": "data/dev/numina-000621-0002-21a7848558a8a1f6.parquet",
-      "sha256": "21a7848558a8a1f6fba0fe6f148a6d5df0e1bba76992d3638b83ad506538dfc2",
       "bytes": 857940,
+      "path": "data/dev/p6c/numina-000621-0002-21a7848558a8a1f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "21a7848558a8a1f6fba0fe6f148a6d5df0e1bba76992d3638b83ad506538dfc2"
     },
     {
-      "path": "data/dev/numina-000621-0003-973af24727f66d19.parquet",
-      "sha256": "973af24727f66d19dcbe480aca7f56022519dd6757ad9df76433453e3958a015",
       "bytes": 214972,
+      "path": "data/dev/p6c/numina-000621-0003-973af24727f66d19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 29,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "973af24727f66d19dcbe480aca7f56022519dd6757ad9df76433453e3958a015"
     },
     {
-      "path": "data/internal_test/numina-000621-0000-764f78fa7e6a9096.parquet",
-      "sha256": "764f78fa7e6a9096d6d8a86565db114244d04e8ce7d7c1944618453befd953ae",
       "bytes": 43270,
+      "path": "data/internal_test/p6c/numina-000621-0000-764f78fa7e6a9096.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
+      "sha256": "764f78fa7e6a9096d6d8a86565db114244d04e8ce7d7c1944618453befd953ae"
     }
-  ],
-  "proof_ids": [
-    "numina:51750097-b115-5c31-a68e-40c836fb17c4",
-    "numina:afd88c54-6c38-537a-888b-85dc44e4ce01",
-    "numina:de86ee3c-0076-58ed-9fae-2fc85f38737b",
-    "numina:e091955b-df5c-5846-83be-de2fb544a3bc",
-    "numina:febe5b07-d496-589a-8701-6eda79b201ef"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003105.lean\",\"6db358c6c0b61126134a2fd1785ea63e0bbd572a8939e9b654dd22b050351c62\",0,\"number_theory_2351\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003106.lean\",\"a46067bd3baaa5a24eab2558b740e100700349edf62930e1dcbed97cdb7914e7\",0,\"algebra_624715\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003107.lean\",\"be7dc826c9c1ab7b08369dcb812e94e7ea2ac2ee21fe2cb7a4b2b44d7fe33b12\",0,\"algebra_624858\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003108.lean\",\"a1534a0d40930dd881eec585ec1c5b899f3062532a473d2d21c39da9cd009428\",0,\"number_theory_624864\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003109.lean\",\"f2e65a67b0b71a4bc348d8a1c760fc89b01d7aadc5c3c44a598ebf92b05adf73\",0,\"algebra_624931\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000622.json b/manifests/batches/numina/000622.json
index f87030a24a930703d93f5b639f4d359bc924044e..1f347e146f8f8e39f3de563562ae189aeffe7f20 100644
--- a/manifests/batches/numina/000622.json
+++ b/manifests/batches/numina/000622.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000622",
   "batch_fingerprint": "ba22fa4a15613f3ce54d67e10e6f1c3a8f45cf4243a276c126128af901f020cf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000622-0000-f8ed3b6e94e86c90.parquet",
-      "sha256": "f8ed3b6e94e86c90ef5880f9bcf9ab8b6f11c6c75902d024b4d1daf55d2d8b6a",
-      "bytes": 571125,
-      "rows": 45,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45bc7111-bf15-5b68-9e17-bd4fe3391d91",
     "numina:508edfdc-5687-577f-997e-8919191a3975",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003112.lean\",\"397da04679ae4e5bb3d71117ebd2c16e9785b768af6fa07debd88a17dede609e\",3,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003113.lean\",\"2d151230676edbcea4dd7a2807c41af4449c00202453d902de3e3f4c58fe2d79\",0,\"number_theory_182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003114.lean\",\"9cdae2999488e4ad7daa0acb9ed7408ad50458f19d0c68ae55eff0aad72fd33d\",0,\"number_theory_626126\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 571125,
+      "path": "data/train/paa/numina-000622-0000-f8ed3b6e94e86c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "f8ed3b6e94e86c90ef5880f9bcf9ab8b6f11c6c75902d024b4d1daf55d2d8b6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000623.json b/manifests/batches/numina/000623.json
index f52d06ed2cb0653e4cae5e7bf54e8fcc65d922b3..3f59c29be4b582ac68e188f1ecb701bcea1c8417 100644
--- a/manifests/batches/numina/000623.json
+++ b/manifests/batches/numina/000623.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000623",
   "batch_fingerprint": "521cd4aca5d52cd116a138180ab4699e281ef71fb8a53e5b86629bcd6b54782d",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:115ef4f4-ca44-5809-9343-2847c0333cca",
+    "numina:21365095-0ceb-55d3-a266-732750bcaf43",
+    "numina:5e16df47-7ec5-543c-9f88-518894a0178a",
+    "numina:8be84774-78e6-5415-a819-15695d67eaec",
+    "numina:a2ecff49-bd23-546d-b09c-f3f11bef816b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003115.lean\",\"e35558fdb83aa298221ae59b2a1fd4ae1530d97bcf5c8a5946dbfaab87bb2c60\",0,\"inequalities_626874\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003116.lean\",\"ac487a651459292a5258fea1efa5701c43fafd24edce4a3eeba6d71959e9dc5d\",0,\"number_theory_627254\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003117.lean\",\"aa4bbc85645a19cd8ae548967200e01b941f91dbc6113bfe662d2d4524dedb15\",0,\"algebra_9720\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003118.lean\",\"16d416ec2b4a860cbed9ff4cb7fe69c6801c3773db3e20b91fee20998a0d6832\",0,\"number_theory_6216\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003119.lean\",\"c685beeea825691c93a53b6c3285d613dadcac60a559cf4f0f4b0e67c47fa870\",0,\"number_theory_627826\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000623-0000-e9529c9cf82ce83d.parquet",
-      "sha256": "e9529c9cf82ce83d6a8ca1705c6841fcecc8a3da7c6e3037375527bc3d23040c",
       "bytes": 617463,
+      "path": "data/train/p7b/numina-000623-0000-e9529c9cf82ce83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 98,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
+      "sha256": "e9529c9cf82ce83d6a8ca1705c6841fcecc8a3da7c6e3037375527bc3d23040c"
     },
     {
-      "path": "data/train/numina-000623-0001-e0cd4077ebb15b5b.parquet",
-      "sha256": "e0cd4077ebb15b5bacfc956080f57262415af49b1b8acff192aad529f518d701",
       "bytes": 533788,
+      "path": "data/train/p7b/numina-000623-0001-e0cd4077ebb15b5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 74,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
+      "sha256": "e0cd4077ebb15b5bacfc956080f57262415af49b1b8acff192aad529f518d701"
     },
     {
-      "path": "data/dev/numina-000623-0000-b4f6eefa412ebf86.parquet",
-      "sha256": "b4f6eefa412ebf86199c9032dfeb200dbac92e8af6c93ac05c5911144e505d92",
       "bytes": 69860,
+      "path": "data/dev/p7b/numina-000623-0000-b4f6eefa412ebf86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
+      "sha256": "b4f6eefa412ebf86199c9032dfeb200dbac92e8af6c93ac05c5911144e505d92"
     },
     {
-      "path": "data/internal_test/numina-000623-0000-7f61ca56f681adb8.parquet",
-      "sha256": "7f61ca56f681adb879ba28824b875f6485ea4436121ee0f5b0b3e63f11b46774",
       "bytes": 40490,
+      "path": "data/internal_test/p7b/numina-000623-0000-7f61ca56f681adb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
+      "sha256": "7f61ca56f681adb879ba28824b875f6485ea4436121ee0f5b0b3e63f11b46774"
     }
-  ],
-  "proof_ids": [
-    "numina:115ef4f4-ca44-5809-9343-2847c0333cca",
-    "numina:21365095-0ceb-55d3-a266-732750bcaf43",
-    "numina:5e16df47-7ec5-543c-9f88-518894a0178a",
-    "numina:8be84774-78e6-5415-a819-15695d67eaec",
-    "numina:a2ecff49-bd23-546d-b09c-f3f11bef816b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003115.lean\",\"e35558fdb83aa298221ae59b2a1fd4ae1530d97bcf5c8a5946dbfaab87bb2c60\",0,\"inequalities_626874\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003116.lean\",\"ac487a651459292a5258fea1efa5701c43fafd24edce4a3eeba6d71959e9dc5d\",0,\"number_theory_627254\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003117.lean\",\"aa4bbc85645a19cd8ae548967200e01b941f91dbc6113bfe662d2d4524dedb15\",0,\"algebra_9720\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003118.lean\",\"16d416ec2b4a860cbed9ff4cb7fe69c6801c3773db3e20b91fee20998a0d6832\",0,\"number_theory_6216\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003119.lean\",\"c685beeea825691c93a53b6c3285d613dadcac60a559cf4f0f4b0e67c47fa870\",0,\"number_theory_627826\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000624.json b/manifests/batches/numina/000624.json
index ad66d6f002a5b7eab5ed7b17bd3e821507719bdf..5c97cf3ee76d2546453ca043c32d90e49d1d796e 100644
--- a/manifests/batches/numina/000624.json
+++ b/manifests/batches/numina/000624.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000624",
   "batch_fingerprint": "5592c6fb8b7cfffe24b13eb181390b0ba944b739fe926ec62d1166d19a29a306",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:28d35e87-c0f5-5969-9b0a-94c690d6c7db",
+    "numina:9473a2f6-c951-5852-b0d3-a421538facad",
+    "numina:afd6d79b-dfcd-54c8-ace0-a2783b4de46b",
+    "numina:b5cf7651-6cb3-5f1d-a190-2c0ececaf697",
+    "numina:fe5ffc33-237d-526c-92dd-1c461b815f0a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003120.lean\",\"0acaf682c6faa51b727359aa72d9cb4006217aead210e3200c26a308709406d9\",0,\"number_theory_628053\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003121.lean\",\"92e8b8c3edabf53938a58dd0ec78f43357ea0d242d3dc34a2897b367db0c1ce5\",0,\"algebra_628232\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003122.lean\",\"f90ed4e9bcc82e5e7e46696e54a02c242a366b93f6c5536f43333c27d9a1227f\",0,\"algebra_628288\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003123.lean\",\"7df4e89f080388b6db5a0f760e9aa28861b4d88b1535acfb3f6756ee2f5d3dfb\",0,\"algebra_628368\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003124.lean\",\"57d7936a16bb82f5103084e5e4a3756d4cb2e244130222ba1bcb1697b99a83da\",0,\"algebra_12184\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000624-0000-9f36bd5242d5b4c7.parquet",
-      "sha256": "9f36bd5242d5b4c7aeeb45423208447be1a2febea3445e627879052fff67be9d",
       "bytes": 317619,
+      "path": "data/train/p9b/numina-000624-0000-9f36bd5242d5b4c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
+      "sha256": "9f36bd5242d5b4c7aeeb45423208447be1a2febea3445e627879052fff67be9d"
     },
     {
-      "path": "data/train/numina-000624-0001-23c975f7958c8bed.parquet",
-      "sha256": "23c975f7958c8bed4dd8e322176054f6b4e15a85b63b59e54427a3e5ec443c3f",
       "bytes": 630702,
+      "path": "data/train/p9b/numina-000624-0001-23c975f7958c8bed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
+      "sha256": "23c975f7958c8bed4dd8e322176054f6b4e15a85b63b59e54427a3e5ec443c3f"
     },
     {
-      "path": "data/train/numina-000624-0002-e58785aac51e5571.parquet",
-      "sha256": "e58785aac51e55717d906aaad989f68a4878bbb597234579e5da859a2d3c7455",
       "bytes": 58933,
+      "path": "data/train/p9b/numina-000624-0002-e58785aac51e5571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
+      "sha256": "e58785aac51e55717d906aaad989f68a4878bbb597234579e5da859a2d3c7455"
     },
     {
-      "path": "data/internal_test/numina-000624-0000-2195adee1e797842.parquet",
-      "sha256": "2195adee1e797842b31ffa806f26edbb4060763e2f4bc47749abd20cec69537d",
       "bytes": 44686,
+      "path": "data/internal_test/p9b/numina-000624-0000-2195adee1e797842.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
+      "sha256": "2195adee1e797842b31ffa806f26edbb4060763e2f4bc47749abd20cec69537d"
     }
-  ],
-  "proof_ids": [
-    "numina:28d35e87-c0f5-5969-9b0a-94c690d6c7db",
-    "numina:9473a2f6-c951-5852-b0d3-a421538facad",
-    "numina:afd6d79b-dfcd-54c8-ace0-a2783b4de46b",
-    "numina:b5cf7651-6cb3-5f1d-a190-2c0ececaf697",
-    "numina:fe5ffc33-237d-526c-92dd-1c461b815f0a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003120.lean\",\"0acaf682c6faa51b727359aa72d9cb4006217aead210e3200c26a308709406d9\",0,\"number_theory_628053\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003121.lean\",\"92e8b8c3edabf53938a58dd0ec78f43357ea0d242d3dc34a2897b367db0c1ce5\",0,\"algebra_628232\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003122.lean\",\"f90ed4e9bcc82e5e7e46696e54a02c242a366b93f6c5536f43333c27d9a1227f\",0,\"algebra_628288\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003123.lean\",\"7df4e89f080388b6db5a0f760e9aa28861b4d88b1535acfb3f6756ee2f5d3dfb\",0,\"algebra_628368\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003124.lean\",\"57d7936a16bb82f5103084e5e4a3756d4cb2e244130222ba1bcb1697b99a83da\",0,\"algebra_12184\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000625.json b/manifests/batches/numina/000625.json
index 7cc290e749c0b9e0b9c89518d72f9fa3908f8819..d2e3b7e71f30af1265024a900465492966d21fd8 100644
--- a/manifests/batches/numina/000625.json
+++ b/manifests/batches/numina/000625.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000625",
   "batch_fingerprint": "d49720c15dff78b08d815301b74be3eef904b7ceea01805f2c04d42384d2e4df",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000625-0000-3c8de3192c8312be.parquet",
-      "sha256": "3c8de3192c8312befecb9962ba20c051b502c7de768775cf7b793b390b9f91ff",
-      "bytes": 230405,
-      "rows": 27,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4505fdb1-3706-5f6e-b4c7-f38fbb526181",
     "numina:77b57cf3-53f2-5ed5-a488-a52fe88fb003",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003127.lean\",\"9e912c8a8452f5413347fa80b413ada30f0d704e9b11246dc50817ef1b791191\",0,\"algebra_586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003128.lean\",\"417988c10a414a80c61f2ffcf13ea3c9342e3458de91471befe39b9029b694e3\",0,\"inequalities_12365\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003129.lean\",\"ab340fcfe7e0e3e264b22a3b9a1d0c20ca899bf518cd259f86410536fcd1900a\",0,\"algebra_1837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230405,
+      "path": "data/train/pe1/numina-000625-0000-3c8de3192c8312be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3c8de3192c8312befecb9962ba20c051b502c7de768775cf7b793b390b9f91ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000626.json b/manifests/batches/numina/000626.json
index b46d8b61898f38382c6d68efce1137c4eefde434..b95d8a2e99750412abe6e0837790496d9bd9f50c 100644
--- a/manifests/batches/numina/000626.json
+++ b/manifests/batches/numina/000626.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000626",
   "batch_fingerprint": "9f30c175824d67e577506ceaa5dafd64cd91be7334c51b952580de727161b3db",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000626-0000-37bc5669b476bf03.parquet",
-      "sha256": "37bc5669b476bf03fedb890a182c6b7a6f046dc212666e2da150a44557703606",
-      "bytes": 623532,
-      "rows": 49,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/train/numina-000626-0001-c985835cb0cf98b9.parquet",
-      "sha256": "c985835cb0cf98b947192f4f4c226f10fb519a027dd834ba7cb7b4679f073e3b",
-      "bytes": 252140,
-      "rows": 9,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:209d8eb8-de46-59ec-b175-6919365f4747",
     "numina:342f3a9c-7a92-5b81-8167-e939109e95b7",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003132.lean\",\"c7325790b8c59e38d6b31a9f1df7eec9b8292be41d5e88d3b2bbf04d35956d96\",0,\"number_theory_60112233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003133.lean\",\"e608b8db5bed649f4fd1853941f67094453004592839ffb94e72f75075fd041d\",0,\"number_theory_631067\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003134.lean\",\"85c21875485deacedd31a9f358092c4c6256cf52fe01835f0f49c18d0eeb972d\",0,\"number_theory_631106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 623532,
+      "path": "data/train/p08/numina-000626-0000-37bc5669b476bf03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "37bc5669b476bf03fedb890a182c6b7a6f046dc212666e2da150a44557703606"
+    },
+    {
+      "bytes": 252140,
+      "path": "data/train/p08/numina-000626-0001-c985835cb0cf98b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c985835cb0cf98b947192f4f4c226f10fb519a027dd834ba7cb7b4679f073e3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000627.json b/manifests/batches/numina/000627.json
index 2fba909f84936b66b01bfeed255a718c92573dbd..e02ca4c2a58f985ffae1e1811aa2e9855af1a18d 100644
--- a/manifests/batches/numina/000627.json
+++ b/manifests/batches/numina/000627.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000627",
   "batch_fingerprint": "0eef9d3091316879e59c76bda717443af358395b779950dafd65c071a0c45446",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000627-0000-048f9ecc39337c5a.parquet",
-      "sha256": "048f9ecc39337c5ac3f34e5f37264117e7abd5c5821e895597b045169ea236e8",
-      "bytes": 625804,
-      "rows": 61,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000627-0000-678943bc78798d13.parquet",
-      "sha256": "678943bc78798d132a3455f25e1b979b3f50a486556fa5fa15e3ab939050774b",
-      "bytes": 52466,
-      "rows": 5,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08a20f57-6fb6-55db-85c9-68a9ac0c2ff9",
     "numina:2c9a2664-7017-595c-b4b2-5a9ef16333a7",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003137.lean\",\"f716fb4bf7972c96e9865b2ec437607c0bd5c946e70a0f4ac67aa71b95a1ba9f\",0,\"number_theory_601111\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003138.lean\",\"3783d3f480f25595d3d4ae4af80321bea64d55d2912a70c5c33f617913b210f0\",0,\"algebra_631543\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003139.lean\",\"3dc4580cc0a52b4593ab207a41e451e65a8a471d61d99d358cf80a4bc0a15869\",1,\"algebra_632102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625804,
+      "path": "data/train/p3d/numina-000627-0000-048f9ecc39337c5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "048f9ecc39337c5ac3f34e5f37264117e7abd5c5821e895597b045169ea236e8"
+    },
+    {
+      "bytes": 52466,
+      "path": "data/internal_test/p3d/numina-000627-0000-678943bc78798d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "678943bc78798d132a3455f25e1b979b3f50a486556fa5fa15e3ab939050774b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000628.json b/manifests/batches/numina/000628.json
index 55ce9d96686e6862e528604f3aeb89564ab62716..2f2409d551e23e0b49e7001add2b7946fa6b2181 100644
--- a/manifests/batches/numina/000628.json
+++ b/manifests/batches/numina/000628.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000628",
   "batch_fingerprint": "18d628bb76645b9de7aba6128b6ccce479e22a4d3ed76359e2987903bc2f8472",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000628-0000-e61798781388754e.parquet",
-      "sha256": "e61798781388754e133eb7f81a8b396724637ca56c1d9321023a36329e3dfe90",
-      "bytes": 92661,
-      "rows": 13,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/internal_test/numina-000628-0000-f6f96a9a65d95599.parquet",
-      "sha256": "f6f96a9a65d955991be0010fa221abf86b5fa6a8a92d08ba1f21a5dcf71add03",
-      "bytes": 87646,
-      "rows": 9,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fde167f-6340-574a-9d96-8d4af01bb610",
     "numina:22c72147-cd24-5bd6-854d-79e54b9d1128",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003142.lean\",\"9ef3c5ed3bac45369a82b7afaf4a25d1618d6a4887004c46ffe8bc287735b05f\",0,\"number_theory_633119\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003143.lean\",\"7297ebf662864af98277413925176c9ecab1d02f07c962e9a25f0ea981ea7bf6\",0,\"algebra_633379\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003144.lean\",\"aec2cbc96cda863263ffec3993b8416b208f88e041638494baf5b0eb8d9381c3\",0,\"algebra_2211\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92661,
+      "path": "data/train/p38/numina-000628-0000-e61798781388754e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e61798781388754e133eb7f81a8b396724637ca56c1d9321023a36329e3dfe90"
+    },
+    {
+      "bytes": 87646,
+      "path": "data/internal_test/p38/numina-000628-0000-f6f96a9a65d95599.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f6f96a9a65d955991be0010fa221abf86b5fa6a8a92d08ba1f21a5dcf71add03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000629.json b/manifests/batches/numina/000629.json
index a9917063123e8e55f1dfc8cb13cf75e3048ae2d5..d4fca17018ff3b8b86f097aea147e232e567d943 100644
--- a/manifests/batches/numina/000629.json
+++ b/manifests/batches/numina/000629.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000629",
   "batch_fingerprint": "006f908ed7d0cedb4b9768adeff545e1400e2938f2d3e63aee137e836c29c558",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000629-0000-e55481c58e039121.parquet",
-      "sha256": "e55481c58e039121ecc7a6bf3b512374dba43a6c6db66d73d1b65e72f1fb4cdf",
-      "bytes": 541604,
-      "rows": 29,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/train/numina-000629-0001-5e16b4510f2b8c4b.parquet",
-      "sha256": "5e16b4510f2b8c4b340a4b3c7f15c5b0bd025446de51a1ae1ac95437cdd873e3",
-      "bytes": 397991,
-      "rows": 11,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d5ca3f9-6992-56cd-b082-419a07cec5a5",
     "numina:3a9513e9-f708-5a57-bd0f-eeaf3172d1d7",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003147.lean\",\"ec223b4d6b4d125edde022b45069e4c8ae81336f2546d3b189f72a8857f4a492\",0,\"algebra_634193\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003148.lean\",\"753add0806b441daac0424f8d9e7930fec922f383f2df67e0f1b256cdb6b5806\",0,\"algebra_12842\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003149.lean\",\"91f8915bcbe80a9c0279d508874f6d2ec305e2f2b85587e919dfafe478b209fc\",0,\"algebra_634303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541604,
+      "path": "data/train/pb2/numina-000629-0000-e55481c58e039121.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e55481c58e039121ecc7a6bf3b512374dba43a6c6db66d73d1b65e72f1fb4cdf"
+    },
+    {
+      "bytes": 397991,
+      "path": "data/train/pb2/numina-000629-0001-5e16b4510f2b8c4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5e16b4510f2b8c4b340a4b3c7f15c5b0bd025446de51a1ae1ac95437cdd873e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000630.json b/manifests/batches/numina/000630.json
index bf6f2a3c2621b9e2314ef5185aca3ba8b652cf1d..6bc523e0e528a35f68cf48161458fb23dc429b23 100644
--- a/manifests/batches/numina/000630.json
+++ b/manifests/batches/numina/000630.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000630",
   "batch_fingerprint": "60809fcc14e51977155ffe24c0b1423ee9b49542b1d8cfbec854f22aa6c543d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000630-0000-010ba2d4195f0d75.parquet",
-      "sha256": "010ba2d4195f0d759c3247428dc141ab569f7e9d0dff75f51486bafbcf03a1c8",
-      "bytes": 631320,
-      "rows": 48,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/train/numina-000630-0001-6f6927fbef26e8a6.parquet",
-      "sha256": "6f6927fbef26e8a6bb1257805ca5fc7e50ac1571925b16ee8d1ee37c6bd0e4eb",
-      "bytes": 578867,
-      "rows": 39,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0317e17c-c2a1-51de-a612-ce66a69d8567",
     "numina:50f2eae9-55a4-5113-844d-9ca797838ad4",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003152.lean\",\"cb84bddcbbd6d70977b578af74c41fe755934a0286903db009c059d11df6158d\",2,\"useful_lemma_634573\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003153.lean\",\"e625b08abb0b2870ff73287e0107cec0be59198cc37fba6b7100ef6cce97fd81\",0,\"useful_lemma_634638\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003154.lean\",\"f1b587d3078cf9da84efd428ebe1d5109f2c163212a6e1fcdc17fce1c75efeb1\",1,\"number_theory_634639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 631320,
+      "path": "data/train/p22/numina-000630-0000-010ba2d4195f0d75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "010ba2d4195f0d759c3247428dc141ab569f7e9d0dff75f51486bafbcf03a1c8"
+    },
+    {
+      "bytes": 578867,
+      "path": "data/train/p22/numina-000630-0001-6f6927fbef26e8a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "6f6927fbef26e8a6bb1257805ca5fc7e50ac1571925b16ee8d1ee37c6bd0e4eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000631.json b/manifests/batches/numina/000631.json
index 3ca29ad6d3c4ddbca2f98152c25de5f66cb2d82d..70893623c562126e4a9fc056ebf70401a999fd96 100644
--- a/manifests/batches/numina/000631.json
+++ b/manifests/batches/numina/000631.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000631",
   "batch_fingerprint": "6b9476b6f66195fb292c5e76cc525c055b995edc9ffba63e53a85765a8ad8fd3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000631-0000-a7a7485ba11edd5a.parquet",
-      "sha256": "a7a7485ba11edd5a52df291835e0b28a8decae5904206cd6e1f020199f9e4a76",
-      "bytes": 436243,
-      "rows": 33,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    },
-    {
-      "path": "data/internal_test/numina-000631-0000-3564b9c27d28730e.parquet",
-      "sha256": "3564b9c27d28730ef767fd191cbe6d9e0a89d24fd852f16217afbda159845317",
-      "bytes": 127822,
-      "rows": 11,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:075631e8-814d-5aae-8bbc-a5bfd2c3ee0b",
     "numina:1a4a260b-3fdd-5017-a4f2-0fc600318e9f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003157.lean\",\"c8ab72c598759610b7f79b29aba15824c949496098747198baba8fdbaa025f73\",0,\"Algebra_608942\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003158.lean\",\"f8c3a0f7782fedc30db3cb3c844addb05b601c8473b906b1438ec8d0b1680989\",0,\"number_theory_634662\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003159.lean\",\"9886e4a903e0f997b0128385af604353ce9c74d3187b5d3296966e15bbe11e4a\",0,\"number_theory_634666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436243,
+      "path": "data/train/p48/numina-000631-0000-a7a7485ba11edd5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a7a7485ba11edd5a52df291835e0b28a8decae5904206cd6e1f020199f9e4a76"
+    },
+    {
+      "bytes": 127822,
+      "path": "data/internal_test/p48/numina-000631-0000-3564b9c27d28730e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3564b9c27d28730ef767fd191cbe6d9e0a89d24fd852f16217afbda159845317"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000632.json b/manifests/batches/numina/000632.json
index 1f47b894803384132de8f6b0cd18d365e7793b38..9ae505dbf85aa6142c6fc6f4d4584f92a5fd5904 100644
--- a/manifests/batches/numina/000632.json
+++ b/manifests/batches/numina/000632.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000632",
   "batch_fingerprint": "69f9875e91fd03e92fb310618a39c724cf9da3f77bffb58b6f2bdf7bf7d3226a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000632-0000-d53b61fa866e0ff5.parquet",
-      "sha256": "d53b61fa866e0ff5086bb3a39c1bab0689552ac84c78f40abaede818e398e71b",
-      "bytes": 240004,
-      "rows": 32,
-      "revision": "ae4f92d06f9e9d9fbd110d4551e9b2f77be00ace"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:887cfcd3-1ccf-5faa-be47-a483a2e5fe7b",
     "numina:908be06a-2d83-5ed0-a71b-af71767db3b0",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003162.lean\",\"df692b091b459da7aef485b906ff498278b405eb2f6f873685a560490d4befd9\",1,\"number_theory_634703\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003163.lean\",\"dd3121197e952b255f90cd01d20cdd4b91e4e56cce7fae3182f01d0b93481bf6\",0,\"algebra_634706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003164.lean\",\"fb6da61ae9aa2b4c9612356f6dbcb7fee36b6b5ea821a57c3d2191eb2fc003f6\",0,\"number_theory_634712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240004,
+      "path": "data/train/pe0/numina-000632-0000-d53b61fa866e0ff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "d53b61fa866e0ff5086bb3a39c1bab0689552ac84c78f40abaede818e398e71b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000633.json b/manifests/batches/numina/000633.json
index ce832e01a1815a44214f156688c51783dd49d595..54fb56a6e6fd659720c564762426cf00cd14fe31 100644
--- a/manifests/batches/numina/000633.json
+++ b/manifests/batches/numina/000633.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000633",
   "batch_fingerprint": "da14af7af4ac9057b540c9ed1b08c3e70ddcdee4150fd840f00bac8f770bf82f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000633-0000-576257bbd11350ea.parquet",
-      "sha256": "576257bbd11350ea305c52adf558359803b6140bd6c94ccd44e23ef717a2f238",
-      "bytes": 358495,
-      "rows": 36,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06943236-99cb-5ad1-ac56-2b47ee73651b",
     "numina:13a44636-3f2a-52e9-b0dd-47ded4e25184",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003167.lean\",\"9f73d4464f560482759d8c3c43121ee6f04dad89c4db6976c53ae8ca778acf6a\",0,\"number_theory_634778\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003168.lean\",\"00f08fec246dc215f9d428324be60423e81b9e9591540729a4e59935a3f10c5a\",0,\"number_theory_634782\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003169.lean\",\"eb325f592f5ff698ef57783d6740c0df3fce2d5fe499d327e78d924ffc5193fe\",2,\"number_theory_634787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358495,
+      "path": "data/train/pb8/numina-000633-0000-576257bbd11350ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "576257bbd11350ea305c52adf558359803b6140bd6c94ccd44e23ef717a2f238"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000634.json b/manifests/batches/numina/000634.json
index a8deb600bcd7aa2d5da0954b5d409d9bebdc0ea0..5c7e21a2f54d8c8d8ad58e1b1f6cefd95ed233ce 100644
--- a/manifests/batches/numina/000634.json
+++ b/manifests/batches/numina/000634.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000634",
   "batch_fingerprint": "71c6047d33ef93cc50461e0579556652dd275038b1c7b05b7de493aa797a7466",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000634-0000-026ad5482f582c4e.parquet",
-      "sha256": "026ad5482f582c4e6d45c54adbadc8edd2a8dcbbe0db5b51cff7683ba7a349bf",
-      "bytes": 427604,
-      "rows": 36,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00dcc2ed-3680-5f9a-9547-24c63a01b850",
     "numina:3731bc0c-ca00-55d2-8fb6-f02b63b04414",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003172.lean\",\"4c9ddd5abadc82c2282348c2c97128b530187678d5edc89a63a224d2cba06b71\",0,\"unique_solution\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003173.lean\",\"188b5e420d2a790c6fe46cafa63206cf26aa529418edefb223860830d0ca0670\",0,\"algebra_634839\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003174.lean\",\"6772880926642bec09eb273e12f5202deaa2682d8f6300596e8a741a3b14e9f1\",0,\"algebra_634899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 427604,
+      "path": "data/train/p90/numina-000634-0000-026ad5482f582c4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "026ad5482f582c4e6d45c54adbadc8edd2a8dcbbe0db5b51cff7683ba7a349bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000635.json b/manifests/batches/numina/000635.json
index d66402160cf1ab7f03c7c815a68e04e68ca292c4..9ddaf7e47cf9b772b4c957ce82243c9c490ca916 100644
--- a/manifests/batches/numina/000635.json
+++ b/manifests/batches/numina/000635.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000635",
   "batch_fingerprint": "f40b145fb6a9672b8e8b76d03bf567511d565a4be4f7867e54e5cea63d75bc08",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000635-0000-410db20d0812c114.parquet",
-      "sha256": "410db20d0812c1140c5bc52f1cd108058e1a8342054fc5927efd27b2d2659367",
-      "bytes": 466320,
-      "rows": 31,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/train/numina-000635-0001-bae4398cbc92fd93.parquet",
-      "sha256": "bae4398cbc92fd93e861cd5fe69b5c52a2bbafc6dabcfc79210f2490489c86a1",
-      "bytes": 131291,
-      "rows": 1,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:656dc1dd-fa26-5701-9afd-eb1a45a52e05",
     "numina:6fd8732a-7c4c-5cf4-92fe-062f3ba4d56c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003177.lean\",\"89946507822074d389150ab7071f8861f99bdb4c533893c129bea0e0d5b8b6f6\",0,\"number_theory_634973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003178.lean\",\"8b6343267536c206767a5be4449c0cd80d5040e922fe3a1e081bf5817f368cd5\",0,\"number_theory_634975\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003179.lean\",\"542c9ad3d5e88142569d4cc3ec68c07a99f15437fad0cda99d4fcba974b7b409\",0,\"number_theory_635032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466320,
+      "path": "data/train/pe3/numina-000635-0000-410db20d0812c114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "410db20d0812c1140c5bc52f1cd108058e1a8342054fc5927efd27b2d2659367"
+    },
+    {
+      "bytes": 131291,
+      "path": "data/train/pe3/numina-000635-0001-bae4398cbc92fd93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "bae4398cbc92fd93e861cd5fe69b5c52a2bbafc6dabcfc79210f2490489c86a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000636.json b/manifests/batches/numina/000636.json
index a7c0e102269ba2cfbfcf1ecf22409f7f6a474421..c8e760bab5d06f119ad513794d100df09edcc13c 100644
--- a/manifests/batches/numina/000636.json
+++ b/manifests/batches/numina/000636.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000636",
   "batch_fingerprint": "e09bf64892e55a37c8227d4359cac25cc1e5d26eb4ab8258532a10f049c998e5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000636-0000-ef62b9b8eb9bc79a.parquet",
-      "sha256": "ef62b9b8eb9bc79a5500154343352fedd42380422dec281a51fdd4b109a58a39",
-      "bytes": 550275,
-      "rows": 43,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000636-0000-424c783c01f87360.parquet",
-      "sha256": "424c783c01f87360181494fd5c12c3f117cda01c47e5639f78f94ad8bba2ad35",
-      "bytes": 38708,
-      "rows": 2,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1942b6ca-8d1c-52c0-bcc7-83cd2c46042f",
     "numina:81288b7c-9660-55e6-91a8-ce483868cacc",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003182.lean\",\"4ab5977c9a1fabc753a8543adc5872d65ddc28f77962e1a38430b5ce02a1a795\",0,\"number_theory_635053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003183.lean\",\"3855f79dd0924a2ae9a205549894b0c35fc0d2be05d795a32177f8b861147910\",0,\"algebra_635057\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003184.lean\",\"bb933ee0063b84b98d0e662e0936ac6bc5721a9586a7a0d3f94a5d15e0386397\",6,\"number_theory_635084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 550275,
+      "path": "data/train/p22/numina-000636-0000-ef62b9b8eb9bc79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "ef62b9b8eb9bc79a5500154343352fedd42380422dec281a51fdd4b109a58a39"
+    },
+    {
+      "bytes": 38708,
+      "path": "data/internal_test/p22/numina-000636-0000-424c783c01f87360.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "424c783c01f87360181494fd5c12c3f117cda01c47e5639f78f94ad8bba2ad35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000637.json b/manifests/batches/numina/000637.json
index fca62352e4aba57898d87731906e09faa1440292..f3601751540179a122cbe084a5a3711929a85a30 100644
--- a/manifests/batches/numina/000637.json
+++ b/manifests/batches/numina/000637.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000637",
   "batch_fingerprint": "ba3e2ad2fc4886f880ec1a41d2f37576812d78f15c3fd74eccad23eb38dd64b6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000637-0000-91766b8b143565bf.parquet",
-      "sha256": "91766b8b143565bfe632f79aa5d56a3727b5180ea20c0e5f4c0e9ff872ecb20c",
-      "bytes": 757208,
-      "rows": 53,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10496f00-e60f-5059-9299-a8f56aded207",
     "numina:19d1588d-649e-5627-ad33-c03612ac4600",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003187.lean\",\"762b0c67737324f43679ab707b0a0e0bf65ff6daf107d97aa60b51b47044f9b4\",0,\"number_theory_635098\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003188.lean\",\"7ddda2d62ee2d4c3c897f1bd4824c246ca8921d755762e1a6789ecf2395504ab\",0,\"number_theory_635100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003189.lean\",\"e9867f8b0f34c355c1d75456ebbd3c0c94f7a3991780d979c05c0331a9f67823\",0,\"number_theory_635102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 757208,
+      "path": "data/train/pe1/numina-000637-0000-91766b8b143565bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "91766b8b143565bfe632f79aa5d56a3727b5180ea20c0e5f4c0e9ff872ecb20c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000638.json b/manifests/batches/numina/000638.json
index 5d5ba7c5f12910e7b8d4bcd774e0dbbc35d39bc1..d07f064fb76139a75cefc27c4b17bc76c31ec8f4 100644
--- a/manifests/batches/numina/000638.json
+++ b/manifests/batches/numina/000638.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000638",
   "batch_fingerprint": "0a811f78c68949011afe544fd696c5df9a55fe29f96ca08bd443e334612c286d",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000638-0000-f890cc0827a6cc31.parquet",
-      "sha256": "f890cc0827a6cc31142fca9342348db85005f6ae220d32ee545335c609c7fbdd",
-      "bytes": 350703,
-      "rows": 37,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/dev/numina-000638-0000-1ee625976a956669.parquet",
-      "sha256": "1ee625976a95666915cb919d09d5250376b5969d7448c7026e27772b8ec12434",
-      "bytes": 97044,
-      "rows": 4,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000638-0000-a237d209bfcbd89f.parquet",
-      "sha256": "a237d209bfcbd89f02c0e35f8330d089c5d6aa45c797633c82c8a38fb606d773",
-      "bytes": 53453,
-      "rows": 11,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e79c83c-9dbb-5e30-a38f-2f2a3549964b",
     "numina:3d997fce-32cd-54eb-a5b4-b5dbe70f8ce4",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003192.lean\",\"580bb95424bdc27e6c30d4cd5458081340f7810c1329a34fb8fe18403138e655\",0,\"number_theory_635118\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003193.lean\",\"cea367e2144bad644ed1fe40ff55c45cd2d3afcb72ead4bf12389912e01e1fbf\",2,\"number_theory_635135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003194.lean\",\"90873e8d78edc0ff871e8d586fba565d8a5aa0d7cbd422bcda527192e8b814fc\",7,\"number_theory_635147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350703,
+      "path": "data/train/p30/numina-000638-0000-f890cc0827a6cc31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "f890cc0827a6cc31142fca9342348db85005f6ae220d32ee545335c609c7fbdd"
+    },
+    {
+      "bytes": 97044,
+      "path": "data/dev/p30/numina-000638-0000-1ee625976a956669.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1ee625976a95666915cb919d09d5250376b5969d7448c7026e27772b8ec12434"
+    },
+    {
+      "bytes": 53453,
+      "path": "data/internal_test/p30/numina-000638-0000-a237d209bfcbd89f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a237d209bfcbd89f02c0e35f8330d089c5d6aa45c797633c82c8a38fb606d773"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000639.json b/manifests/batches/numina/000639.json
index 57d706213bbd5fc4fd372a510a9207710dce7e4c..f524f809a93c65981cef333c0aba3132f1eb5214 100644
--- a/manifests/batches/numina/000639.json
+++ b/manifests/batches/numina/000639.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000639",
   "batch_fingerprint": "5e7e3e4615541b7809bc91cabf7c923636398ca72a69bbed9a3a8fda8d71ef7e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000639-0000-eee09df350a6d732.parquet",
-      "sha256": "eee09df350a6d732b3f23dd670fed3a6a492cb96230bdd2112d3f4e165bdee9b",
-      "bytes": 49176,
-      "rows": 6,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000639-0000-d579a6376386e381.parquet",
-      "sha256": "d579a6376386e381babc7cb7feb2c4a03de5a36afafa87da50e571690bcc4c71",
-      "bytes": 170272,
-      "rows": 25,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ad2308e-f9a3-5a58-ac50-5a4d3e78fe1e",
     "numina:5a1fb351-a6ae-54c3-bdc2-c4f86897883f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003197.lean\",\"34622f604c906a4d60de6a05e999bdce9595d109e19401be0bd3398099391ec3\",0,\"number_theory_635167\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003198.lean\",\"e88e5d43bbfc61d11ed1859160cdaece9c6c20f3ce522018ab20e23408564e8b\",0,\"number_theory_635173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003199.lean\",\"acd23604b5cad8fd6f57bb1cb3b63c21bc6aea1bc203f4a9f565f2b740b69c57\",0,\"number_theory_635175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49176,
+      "path": "data/train/pc7/numina-000639-0000-eee09df350a6d732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "eee09df350a6d732b3f23dd670fed3a6a492cb96230bdd2112d3f4e165bdee9b"
+    },
+    {
+      "bytes": 170272,
+      "path": "data/internal_test/pc7/numina-000639-0000-d579a6376386e381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d579a6376386e381babc7cb7feb2c4a03de5a36afafa87da50e571690bcc4c71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000640.json b/manifests/batches/numina/000640.json
index aebd746ced260cf6f0be466e46aabe0c22069ee1..70f87a6ed8432e14f8827d51919012394e7c475e 100644
--- a/manifests/batches/numina/000640.json
+++ b/manifests/batches/numina/000640.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000640",
   "batch_fingerprint": "5414e8495baaf97e5203b7b148a44cfcd44ea086425c94d2b4b863483ca71299",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000640-0000-877282c98487e954.parquet",
-      "sha256": "877282c98487e9544f74f7691f8ee8c5523777b6673f4e8530f8d17f4eb78a63",
-      "bytes": 81812,
-      "rows": 17,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/dev/numina-000640-0000-5d443d92016362f1.parquet",
-      "sha256": "5d443d92016362f10bfd2c540ac6b8c14c0c7173315bb87dd907c35a002d3223",
-      "bytes": 68488,
-      "rows": 3,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63dba230-6ec8-5bcb-a934-2e07bc298bdd",
     "numina:7bbf0072-7a8a-5d19-9f70-09a5fa5d3793",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003202.lean\",\"e4b1d44a81f5b91a4d89e5b4573c92ea988ae463aa63e3aa28938fe9f286645c\",0,\"number_theory_635201\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003203.lean\",\"14c3a913d9a6630996bdd1e4d1dbb6759ea4988176ebd79f74df6abbabed50a6\",0,\"number_theory_635205\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003204.lean\",\"22a73bd143f576ce65248149953021d238c8421a0bb8f301f6d8323f5aee72ff\",0,\"number_theory_635223\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81812,
+      "path": "data/train/pe2/numina-000640-0000-877282c98487e954.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "877282c98487e9544f74f7691f8ee8c5523777b6673f4e8530f8d17f4eb78a63"
+    },
+    {
+      "bytes": 68488,
+      "path": "data/dev/pe2/numina-000640-0000-5d443d92016362f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5d443d92016362f10bfd2c540ac6b8c14c0c7173315bb87dd907c35a002d3223"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000641.json b/manifests/batches/numina/000641.json
index 3ce9b027c3fefdd51dd18c4b320abad4f51b2bdd..3189a075f6f8775728d74f198bbba30c1f7e5372 100644
--- a/manifests/batches/numina/000641.json
+++ b/manifests/batches/numina/000641.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000641",
   "batch_fingerprint": "fa9b4369157d79887ca8210509fcdc0046dabd143b28b250b0b373ae887dce1a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000641-0000-001ec2bdf29b6330.parquet",
-      "sha256": "001ec2bdf29b63302066ec0743ad964063d31a066b68f5fbadf24741bf450b5b",
-      "bytes": 83595,
-      "rows": 8,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000641-0000-19eaed7778e3febe.parquet",
-      "sha256": "19eaed7778e3febe1b7a4e4f24c9bbf459471d5485a657630113fda4d2e861f2",
-      "bytes": 44000,
-      "rows": 5,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:014eeb80-b950-5674-afa0-90ddf4241c0a",
     "numina:02bbe3cf-4e14-5667-8926-bca72d0eeac3",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003207.lean\",\"05114836f07ee139e15761a37286f882569d8be11040f69d293cee44cdad4ae7\",0,\"number_theory_635260\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003208.lean\",\"5548b4a103d7233a0f72428a537117c95afbbc3cc85bd243e19b494753f6b3e3\",0,\"number_theory_635265\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003209.lean\",\"8c378e096e489616424e55d894c190a7d8eff7ac4180b65a3ab7f82aa9de239e\",2,\"number_theory_635295\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83595,
+      "path": "data/train/pae/numina-000641-0000-001ec2bdf29b6330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "001ec2bdf29b63302066ec0743ad964063d31a066b68f5fbadf24741bf450b5b"
+    },
+    {
+      "bytes": 44000,
+      "path": "data/internal_test/pae/numina-000641-0000-19eaed7778e3febe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "19eaed7778e3febe1b7a4e4f24c9bbf459471d5485a657630113fda4d2e861f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000642.json b/manifests/batches/numina/000642.json
index 45fdebd51e37c78ee60437bc654be4e92d96565e..2bcb0eb5f7ae64b38ab571aaf4f1f6b0368545ef 100644
--- a/manifests/batches/numina/000642.json
+++ b/manifests/batches/numina/000642.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000642",
   "batch_fingerprint": "b37c3efe86afaf01346af0a2052dff8302da243f806b2d498f654bb52667fb66",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000642-0000-e642aaee7f1b0daf.parquet",
-      "sha256": "e642aaee7f1b0dafbdd2fae7552450dbba62c1ef2c16db03f7900fbd170776f2",
-      "bytes": 338130,
-      "rows": 60,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c97931f-0c47-5020-b7b2-491c3523e034",
     "numina:0fd17338-9357-5bb1-9404-1c29ae355e8d",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003212.lean\",\"949581604fb36d688c43987c4b7b40efdaca70cfa842291a252df3d471ffacbb\",1,\"number_theory_635344\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003213.lean\",\"918eca8131a4459cc9f533d9e6ddc55a13a36d833a9c22814957ac10358dfa3f\",0,\"number_theory_635347\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003214.lean\",\"50b9cb26e3b3c83605efa625fc33abffdde8498870d0877d3365a4fdf6d17fe5\",1,\"number_theory_635376\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338130,
+      "path": "data/train/p2f/numina-000642-0000-e642aaee7f1b0daf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "e642aaee7f1b0dafbdd2fae7552450dbba62c1ef2c16db03f7900fbd170776f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000643.json b/manifests/batches/numina/000643.json
index 4f09260d8a1123393f1a6b722ba77c8fa2e7f8dc..14fbd27c7788e018d070ac281d702818f187fadf 100644
--- a/manifests/batches/numina/000643.json
+++ b/manifests/batches/numina/000643.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000643",
   "batch_fingerprint": "9c569e0fd3994c656188ee906c374185e5000111cff1dfa9ef5fa2b9ad3e1cd3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000643-0000-0d351fbb082c602a.parquet",
-      "sha256": "0d351fbb082c602a75b94158d1a452c951bbec9ad0f659d5e76cb419cddf4bb6",
-      "bytes": 260833,
-      "rows": 28,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:67aac43e-bee8-5254-aafb-74d208fd7564",
     "numina:767334f7-4337-52ef-ab21-e8c5fc2f4f1b",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003217.lean\",\"39109927c423450eadfde86726499f3d2e19f7e566d7bc2560fc28eab3029c32\",1,\"number_theory_635425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003218.lean\",\"16d0ea381e406cb26fd1240f66426becaa60b652de1479af273075a5580dd8f2\",1,\"number_theory_635434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003219.lean\",\"acdf68cfa524bb65fd20e3a5a211d08de661bb43f20ece86d6aa8a082ce5c71a\",0,\"number_theory_635441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260833,
+      "path": "data/train/pac/numina-000643-0000-0d351fbb082c602a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "0d351fbb082c602a75b94158d1a452c951bbec9ad0f659d5e76cb419cddf4bb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000644.json b/manifests/batches/numina/000644.json
index ba81935c814dd52f48e7bc392ad794b45a862804..35f905504104bbc8a68b815e219c816e930a850b 100644
--- a/manifests/batches/numina/000644.json
+++ b/manifests/batches/numina/000644.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000644",
   "batch_fingerprint": "086a38a11e241d719ec19008a2efadd0282c508f7bd3ebb46ac3cdde3259bb46",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000644-0000-0b2acc3fac4ce3de.parquet",
-      "sha256": "0b2acc3fac4ce3deb1a83ebc46d0c3ddb98e8052b365ce013ae156ffdf8fcd40",
-      "bytes": 145469,
-      "rows": 27,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000644-0000-b9679f7ced30aa2d.parquet",
-      "sha256": "b9679f7ced30aa2da5428357ca7df74225a1f699395c0305ce430403a6c89899",
-      "bytes": 44671,
-      "rows": 6,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:37d571e6-97f7-5116-aede-5fa3c4cb08b6",
     "numina:526da6bd-ddc0-55e3-8389-66c0979b105b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003222.lean\",\"75fb0148d9222942fc2dba232e3c73da3224bae6d3051961c5f46218a8ebfdf7\",0,\"number_theory_635471\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003223.lean\",\"e5cd8c2835f58e4ebc744973585a5d7acf87b40d1b688f5350c7423f41275df8\",0,\"number_theory_635473\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003224.lean\",\"306a002822aa726a5d6a4886e2448d22df2497a3cc68437d3a0e5d114b588f2a\",0,\"number_theory_635488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145469,
+      "path": "data/train/p78/numina-000644-0000-0b2acc3fac4ce3de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0b2acc3fac4ce3deb1a83ebc46d0c3ddb98e8052b365ce013ae156ffdf8fcd40"
+    },
+    {
+      "bytes": 44671,
+      "path": "data/internal_test/p78/numina-000644-0000-b9679f7ced30aa2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b9679f7ced30aa2da5428357ca7df74225a1f699395c0305ce430403a6c89899"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000645.json b/manifests/batches/numina/000645.json
index a87b803f1e6ed1b5928343340e8472ee376b0f06..ff8cbc22b81709a5cd8c5bbc9dc1d102789efdca 100644
--- a/manifests/batches/numina/000645.json
+++ b/manifests/batches/numina/000645.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000645",
   "batch_fingerprint": "18baa4595937ed3be8e776c0fb8aa4064cb2f4750cda07c4673a01114e3a3f2f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000645-0000-eb10350a2a8fe038.parquet",
-      "sha256": "eb10350a2a8fe03853a6c0ede387a1406cabc889450c98a0fb117120b5b95d9a",
-      "bytes": 387305,
-      "rows": 45,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05ff3eed-7d6a-5aa2-9041-64f56ded0759",
     "numina:7a3a1a05-bcd3-578c-8a1e-c12d77b05a80",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003227.lean\",\"276c47a5730cc254688ebd4b7bacbabe1f76d41fd3bdd5acf69c5fc92b1a8d43\",0,\"number_theory_635521\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003228.lean\",\"a7186e10b4f1b170594ff500e73002ea464dbdae519a259a2a0e7c422d051bbf\",0,\"algebra_635522\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003229.lean\",\"2fbc41710f359236f1424d7981db52c16478c952e0adc634982d5f6e2409aadc\",0,\"number_theory_635534\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387305,
+      "path": "data/train/p36/numina-000645-0000-eb10350a2a8fe038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "eb10350a2a8fe03853a6c0ede387a1406cabc889450c98a0fb117120b5b95d9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000646.json b/manifests/batches/numina/000646.json
index 245608f5d428dd2750612b3d7d8e83db6c33b690..c238e0440be3c8bf57806ed3438335a17358e63b 100644
--- a/manifests/batches/numina/000646.json
+++ b/manifests/batches/numina/000646.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000646",
   "batch_fingerprint": "b7ddce044bd1f46b1943f3eea8f2394d5711e6a0902806efd1421912f1a9a5c3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000646-0000-55c0b4ab05c3b3f4.parquet",
-      "sha256": "55c0b4ab05c3b3f4eb64a69d36c703bb17c9bacbd8b19e3784671d805044e5b6",
-      "bytes": 139556,
-      "rows": 28,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0605dd58-94e2-5f87-9488-7a08680e4ce2",
     "numina:84520fb4-6228-5fe0-8403-3366f5e3aa95",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003232.lean\",\"27a5cdbc01caf680059c6d950311a1f0cecbaea5d5436786fcea4a790c164d07\",0,\"number_theory_635560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003233.lean\",\"6d723d36983359835fcde3e856ea1bf65452af400035d49cd2279f483e6c67dc\",0,\"number_theory_635579\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003234.lean\",\"75efe816e516f4018dd42674d81aa6011b2214ff82ce2a06cf327268759cfe69\",0,\"number_theory_635581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139556,
+      "path": "data/train/pde/numina-000646-0000-55c0b4ab05c3b3f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "55c0b4ab05c3b3f4eb64a69d36c703bb17c9bacbd8b19e3784671d805044e5b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000647.json b/manifests/batches/numina/000647.json
index 42da43c2d787b599fa2006162de05d3cd8c787e3..bd75d24422a4ad036d449d58e93cd1e6003963b4 100644
--- a/manifests/batches/numina/000647.json
+++ b/manifests/batches/numina/000647.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000647",
   "batch_fingerprint": "c4aa11646c97a946b6666c428a41a2d01b1c5d32f5d1dc4458afaa568f8c05f9",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000647-0000-07ce18a1a3f550eb.parquet",
-      "sha256": "07ce18a1a3f550eb0cf91062e637f75f5f535523169c1fb833c203ebbec10d34",
-      "bytes": 577798,
-      "rows": 22,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/dev/numina-000647-0000-bfa092b52d092b1a.parquet",
-      "sha256": "bfa092b52d092b1a0afe59d95c0adce9490df282641dd27670483b62ab05346b",
-      "bytes": 112083,
-      "rows": 11,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/internal_test/numina-000647-0000-ce20e913f24741eb.parquet",
-      "sha256": "ce20e913f24741eb1dbfb6881b112521699785fe2dd8a3202abaabea61f87368",
-      "bytes": 75480,
-      "rows": 3,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3512ca74-45c5-5112-89d3-123c5fe65ddb",
     "numina:456f3c9e-7b17-54fd-8f5b-a9d36b6ee6b1",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003237.lean\",\"215bde074aba03ba675d0c540aff03c3aeaa73713311915dedfc442e00941a10\",0,\"number_theory_635616\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003238.lean\",\"1412a56c3ebff1ffe662937458e2fc157bafff03989233dcbb55a57fe270daa8\",0,\"number_theory_635623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003239.lean\",\"7c51a0caeefd0eedff8da095ff93dc34dad51d7193b690527a9c02b263d8e79e\",5,\"number_theory_635626\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577798,
+      "path": "data/train/p70/numina-000647-0000-07ce18a1a3f550eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "07ce18a1a3f550eb0cf91062e637f75f5f535523169c1fb833c203ebbec10d34"
+    },
+    {
+      "bytes": 112083,
+      "path": "data/dev/p70/numina-000647-0000-bfa092b52d092b1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bfa092b52d092b1a0afe59d95c0adce9490df282641dd27670483b62ab05346b"
+    },
+    {
+      "bytes": 75480,
+      "path": "data/internal_test/p70/numina-000647-0000-ce20e913f24741eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce20e913f24741eb1dbfb6881b112521699785fe2dd8a3202abaabea61f87368"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000648.json b/manifests/batches/numina/000648.json
index e732b047b3b6366c732fc0dfba3e9df8cd3417d0..2d90e75574dc742802937fa9ce7de4ba5d1f5f26 100644
--- a/manifests/batches/numina/000648.json
+++ b/manifests/batches/numina/000648.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000648",
   "batch_fingerprint": "ec82625a22cfe43571ba0cbe11361b6464d85156ab5e0a1243b63436bc1c8a17",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000648-0000-b0c1d9714e7d50de.parquet",
-      "sha256": "b0c1d9714e7d50de72b1beb50418c3a9d3e3fb77e88d6efa8d2a86e5e117f6d4",
-      "bytes": 694552,
-      "rows": 36,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/train/numina-000648-0001-6f6984a9195fedab.parquet",
-      "sha256": "6f6984a9195fedabfa70dd22ecdb21d1e347466ab1c112a64333a52038b442f8",
-      "bytes": 59880,
-      "rows": 6,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03118d58-aa0a-52c4-8c5f-31b1f1751947",
     "numina:4129a201-2700-55d0-bee8-8e465bba4fb6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003242.lean\",\"cdf24706918384ed1127d79cf4c4ab6b0c55ee7e147f11e18592fb6135ad2f21\",0,\"Number_Theory_635648\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003243.lean\",\"e86bee66448cf5fd0b7b8e5b3b6894e709c71202e431ff9ed0598e8dca026199\",0,\"number_theory_635662\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003244.lean\",\"93df012e1806788128d4c6337291eeb0eb121e247c20c75eff9afcbfd1b492ef\",2,\"number_theory_635663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 694552,
+      "path": "data/train/p0c/numina-000648-0000-b0c1d9714e7d50de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b0c1d9714e7d50de72b1beb50418c3a9d3e3fb77e88d6efa8d2a86e5e117f6d4"
+    },
+    {
+      "bytes": 59880,
+      "path": "data/train/p0c/numina-000648-0001-6f6984a9195fedab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6f6984a9195fedabfa70dd22ecdb21d1e347466ab1c112a64333a52038b442f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000649.json b/manifests/batches/numina/000649.json
index c31e0cf124630baac7e9c85f4d96da7c660da648..2027c0767647efab7c40a72219dd836e5e171bb7 100644
--- a/manifests/batches/numina/000649.json
+++ b/manifests/batches/numina/000649.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000649",
   "batch_fingerprint": "dc0fb95676940b1cb8512fe1a8a5742876f7aa5c5bafa635a8e490eccaf4fe20",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000649-0000-9b5602a2c9b0a07b.parquet",
-      "sha256": "9b5602a2c9b0a07bb9230f403eb37d2b40751b3bf2da1c85454a2b3001612c1b",
-      "bytes": 349660,
-      "rows": 23,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/dev/numina-000649-0000-ee77b423e9e62090.parquet",
-      "sha256": "ee77b423e9e6209023455a4a58610441d32e38cda56fc4d7ddba79dd41ba51e3",
-      "bytes": 26137,
-      "rows": 1,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1501bb8c-c0f2-52b7-8509-6c92c3cedd06",
     "numina:3e21afe9-2498-5122-b047-d40f6da2d809",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003247.lean\",\"5ef2301de6f5ca9f59fd7026fdece72935363110f10a9c75b33d75f8ded0e033\",0,\"number_theory_635686\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003248.lean\",\"5226e6c525abf56d418fa4f618a0c77d224cc8fc86ac5252b45e2a85a0895fc3\",0,\"number_theory_635700\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003249.lean\",\"47412ac57b7bf905bf302b01c757a3fb1061e9fc27f942d95799d12869ecd1b7\",0,\"algebra_635713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349660,
+      "path": "data/train/p3d/numina-000649-0000-9b5602a2c9b0a07b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "9b5602a2c9b0a07bb9230f403eb37d2b40751b3bf2da1c85454a2b3001612c1b"
+    },
+    {
+      "bytes": 26137,
+      "path": "data/dev/p3d/numina-000649-0000-ee77b423e9e62090.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ee77b423e9e6209023455a4a58610441d32e38cda56fc4d7ddba79dd41ba51e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000650.json b/manifests/batches/numina/000650.json
index 843f95a01536ea5c06f0ef02970dc98183463cc3..2729b4b9d25d507e792718ed831af2ab86c08c66 100644
--- a/manifests/batches/numina/000650.json
+++ b/manifests/batches/numina/000650.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000650",
   "batch_fingerprint": "6e2407afb90cd3f94ce3001a490363ce62b1816551c8fbfe4f7dd7925626eb6f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000650-0000-a8ca58564a4d8cb0.parquet",
-      "sha256": "a8ca58564a4d8cb031d0d3768bdefab36aafae6725f62013710c13c3e69f8fda",
-      "bytes": 85643,
-      "rows": 17,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    },
-    {
-      "path": "data/internal_test/numina-000650-0000-91e7a623a2f86a17.parquet",
-      "sha256": "91e7a623a2f86a1778b030adbfd5356085f0bbc6898c6e22b4eaa70554c7745f",
-      "bytes": 86275,
-      "rows": 16,
-      "revision": "26c884cbcfa29b9ef45c9550ed42778e57e50e73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:627550a6-ca65-58c0-991f-da5c21021506",
     "numina:8963fab0-df1b-51ed-846a-c803db4b8322",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003252.lean\",\"efb4fc6ce71cf1d7a744a2164f600fdad7396be76dc3dbc13ea8f9e826c08f11\",0,\"Number_Theory_635749\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003253.lean\",\"1987231bd305a5b9e1c15a89e98a1c832d01d6321b360cb5f9d402e8afb860ad\",0,\"number_theory_635752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003254.lean\",\"a6000a8494305c930c22d60714a62a5ea8c35658ec86bde014774736c6c675d5\",0,\"number_theory_635773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85643,
+      "path": "data/train/p89/numina-000650-0000-a8ca58564a4d8cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a8ca58564a4d8cb031d0d3768bdefab36aafae6725f62013710c13c3e69f8fda"
+    },
+    {
+      "bytes": 86275,
+      "path": "data/internal_test/p89/numina-000650-0000-91e7a623a2f86a17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "91e7a623a2f86a1778b030adbfd5356085f0bbc6898c6e22b4eaa70554c7745f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000651.json b/manifests/batches/numina/000651.json
index 47670db326a4f4e15fea85efd58fa9d0a081864b..bcf2a06a8439303ee31bfb01216c8e2e0f1704c4 100644
--- a/manifests/batches/numina/000651.json
+++ b/manifests/batches/numina/000651.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000651",
   "batch_fingerprint": "68e0939ac886cea51efd1d09d593bd60c40822b9d1a1db373912c7f3779044ee",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000651-0000-ba99e1a5778d054c.parquet",
-      "sha256": "ba99e1a5778d054cdde46fd76db30070a774571f01a3babfa31a2b4e65e8a690",
-      "bytes": 707042,
-      "rows": 38,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/train/numina-000651-0001-178e4c40b9fc294b.parquet",
-      "sha256": "178e4c40b9fc294b3a9d2097ee20a8367c1144a245fe29903537a818f70cfd3c",
-      "bytes": 384609,
-      "rows": 49,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2679173d-d7bf-5304-b1ea-2405c73763d8",
     "numina:565cde36-f61c-5546-9ded-573dd9d6b691",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003257.lean\",\"bd734886a6b55d4a358c350730ba1f84ec012b6b632c873e67019d3cc493f891\",0,\"base_b\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003258.lean\",\"8ebb2ffe2e68fc23611a28314937241812598939b9c1308cfe7867a14db8e2d0\",0,\"number_theory_635805\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003259.lean\",\"fe34b76c19c78e6f34c67da2687490f77c6176650817eb39d282f5c9f12e87c9\",0,\"number_theory_635817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707042,
+      "path": "data/train/p70/numina-000651-0000-ba99e1a5778d054c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "ba99e1a5778d054cdde46fd76db30070a774571f01a3babfa31a2b4e65e8a690"
+    },
+    {
+      "bytes": 384609,
+      "path": "data/train/p70/numina-000651-0001-178e4c40b9fc294b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "178e4c40b9fc294b3a9d2097ee20a8367c1144a245fe29903537a818f70cfd3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000652.json b/manifests/batches/numina/000652.json
index 0f413dd9814c82ecaac16e5e8d2ae71e27ac132c..fc6fa5851a6f82938ae605e599e2cb775f44b17b 100644
--- a/manifests/batches/numina/000652.json
+++ b/manifests/batches/numina/000652.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000652",
   "batch_fingerprint": "a5e06f75c213c8f944744124f471f1e83ed5883326663e7d4e1dd92adc08d541",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000652-0000-27f5ad7c3769bf5e.parquet",
-      "sha256": "27f5ad7c3769bf5e84777f189729e0d5270b9f741f768bde63556d89d84102b9",
-      "bytes": 390821,
-      "rows": 20,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    },
-    {
-      "path": "data/internal_test/numina-000652-0000-5f8018ccdc590972.parquet",
-      "sha256": "5f8018ccdc59097280c84bf799a6ef8b184947ac1a9f9bfff4eacff0e4db65bf",
-      "bytes": 61407,
-      "rows": 8,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a84dd86-d6e0-530c-a393-94c05bb9db2c",
     "numina:4a139c78-9d34-5aa6-864a-9f2e16eff014",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003262.lean\",\"f6318d9c33246b2f06db03b7782ddf58d8d4886829f60df023164f3ccd95a3eb\",1,\"number_theory_635849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003263.lean\",\"7324f52b269c92e61919cb036279a7721e87832735e2d0067dddc644689b36c1\",0,\"number_theory_635861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003264.lean\",\"35126d784dc316438907829cb54660e6d7ad10a04d619a0fed053bfd7b572de9\",0,\"algebra_635864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390821,
+      "path": "data/train/pf6/numina-000652-0000-27f5ad7c3769bf5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "27f5ad7c3769bf5e84777f189729e0d5270b9f741f768bde63556d89d84102b9"
+    },
+    {
+      "bytes": 61407,
+      "path": "data/internal_test/pf6/numina-000652-0000-5f8018ccdc590972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5f8018ccdc59097280c84bf799a6ef8b184947ac1a9f9bfff4eacff0e4db65bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000653.json b/manifests/batches/numina/000653.json
index 9b5e3b6bd58850d95e186b8d99fbd306ee16fbb6..b3d9b5f4472a85475a0ec44a9680df8c3ca489a3 100644
--- a/manifests/batches/numina/000653.json
+++ b/manifests/batches/numina/000653.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000653",
   "batch_fingerprint": "4f576fcc994dc179d3fec115705e8551e1ce2bc5fd16e3b5715fd0f436a5ef42",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000653-0000-47244f08922c71be.parquet",
-      "sha256": "47244f08922c71be66fe389f681c3d2106a5f2b5b1588af943b47005f0acc549",
-      "bytes": 174639,
-      "rows": 27,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:167619ba-0c7f-5678-9153-9a293c3bce7d",
     "numina:c5c27e8b-444c-501f-9721-a7ea2dee90c9",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003267.lean\",\"2c3cafb88cba34c4d66e4f243fb897c493e41fc92e82fcaeff53d345cf22230c\",0,\"number_theory_635891\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003268.lean\",\"79d1556dc15abcad7ba3da4f7abb839b4ea044af9b8555269cc07e9bf46ea57c\",1,\"number_theory_635895\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003269.lean\",\"8a6c837a72a524ba1a70238dfece196d264d900fa16ee24db514d7e81ef924c6\",1,\"number_theory_635900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174639,
+      "path": "data/train/pe4/numina-000653-0000-47244f08922c71be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "47244f08922c71be66fe389f681c3d2106a5f2b5b1588af943b47005f0acc549"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000654.json b/manifests/batches/numina/000654.json
index 2ac8b596d915772b75f5f93accd73685020ad16e..bb16c9ae1d18d7c4b2fe65e3ee308ecb180a3857 100644
--- a/manifests/batches/numina/000654.json
+++ b/manifests/batches/numina/000654.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000654",
   "batch_fingerprint": "af2394fc0429017ee1ab65400cd043cb7d0a368c63724f2d6bed6806c4a2877b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000654-0000-d0d8a2b62e5ace71.parquet",
-      "sha256": "d0d8a2b62e5ace715a499e586b57bdf35cb234f687ba90bc838f3523ec9362f4",
-      "bytes": 909971,
-      "rows": 30,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/train/numina-000654-0001-1b59470fbf6a8950.parquet",
-      "sha256": "1b59470fbf6a8950f5e0cb4cb1f4078fa39ca98aaebfba0db94a24c73e36ffef",
-      "bytes": 145049,
-      "rows": 16,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/dev/numina-000654-0000-403a243c33ed6f18.parquet",
-      "sha256": "403a243c33ed6f18d23a6f53326cfb7c948e1fb68ce3e92a9c261d8a181b3593",
-      "bytes": 38251,
-      "rows": 7,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6edbf41c-ec9a-5f3c-8009-fc7ed4bd18df",
     "numina:8de93fe2-3d30-58b5-ad06-4ec416388e8c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003272.lean\",\"0e3c40988a108d9e8dc3630d0143c96ac55ef6d6a3250c4ec0576c3ded1453ff\",0,\"number_theory_635948\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003273.lean\",\"0ee0941bacde44baa4c4102fab17a34105799dd7dd929c3ffecf9289d2d98284\",0,\"a_minus_b_eq_perfect_square\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003274.lean\",\"c2285f628e2c7f8cc7a727b5fb4cb6da3a12f4bb9ec40dec6934720924b28fc4\",0,\"number_theory_635964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 909971,
+      "path": "data/train/p01/numina-000654-0000-d0d8a2b62e5ace71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d0d8a2b62e5ace715a499e586b57bdf35cb234f687ba90bc838f3523ec9362f4"
+    },
+    {
+      "bytes": 145049,
+      "path": "data/train/p01/numina-000654-0001-1b59470fbf6a8950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "1b59470fbf6a8950f5e0cb4cb1f4078fa39ca98aaebfba0db94a24c73e36ffef"
+    },
+    {
+      "bytes": 38251,
+      "path": "data/dev/p01/numina-000654-0000-403a243c33ed6f18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "403a243c33ed6f18d23a6f53326cfb7c948e1fb68ce3e92a9c261d8a181b3593"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000655.json b/manifests/batches/numina/000655.json
index 7b80adf8daa6bf21dff0e621c016101aa6115398..79236129e524752d1fd060d2810a849b5b624a3a 100644
--- a/manifests/batches/numina/000655.json
+++ b/manifests/batches/numina/000655.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000655",
   "batch_fingerprint": "d197c1aa3f7bc21c52efc88061e8bdfbf522cab2dcbde6a09d40234c8002cb19",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000655-0000-85b78fef63d4e1ed.parquet",
-      "sha256": "85b78fef63d4e1eda0633705620c60d54507f5ac1032cfd336417044c1dc419d",
-      "bytes": 392123,
-      "rows": 31,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2499a610-c11e-52e0-b599-1521cc69b284",
     "numina:24dbc951-360a-5cbb-849c-4e229d7ee7b8",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003276.lean\",\"538f8a3bfd6286b5d2c12a0a8fdeee1721e419c597b0c6597eb158a0571e883b\",0,\"number_theory_636000\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003277.lean\",\"7ab3b79e661112983f4480641014a407cb5542967fe472614ca782b702f31fe4\",0,\"number_theory_636029\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003278.lean\",\"5f62b4bc77b5cfefafe0f5394ebfcc77e35bc6700be21496891e36c58d41f721\",0,\"number_theory_636052\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392123,
+      "path": "data/train/p56/numina-000655-0000-85b78fef63d4e1ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "85b78fef63d4e1eda0633705620c60d54507f5ac1032cfd336417044c1dc419d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000656.json b/manifests/batches/numina/000656.json
index 6f1bdc838d96d6a0992944a381e60c5bfeb3052c..06e1af84e7ff073bd12b1ab1606aea9feccb2bc8 100644
--- a/manifests/batches/numina/000656.json
+++ b/manifests/batches/numina/000656.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000656",
   "batch_fingerprint": "cd716b18ceb1faca1d21534b06f9671851c79c48ac9f9b3f054c82d4a584f232",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000656-0000-a5f03d3b406aa9ca.parquet",
-      "sha256": "a5f03d3b406aa9cab7c2944af5974a55d07d20e46f82ed493258dbaba2f9ffa8",
-      "bytes": 468230,
-      "rows": 18,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1de6e1a3-72b8-5b75-9a2c-b355b0bdecf2",
     "numina:3319a8e8-5014-557d-9147-e2452405d089",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003282.lean\",\"e1b0487f832f990bdb376f4ed201e9b74b506f17a88048645b5f7b3be1612ab4\",0,\"number_theory_636084\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003283.lean\",\"8e7f92ca154191d2e88dc35cbdeacd0b2651b0e6a44214dc5c06c36a26342a9e\",0,\"number_theory_636091\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003284.lean\",\"1698149ba62ce8824b63b8bd4fef3003371ef8ef13eafdd51f36e3de0fbf479b\",0,\"total_value_currency\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468230,
+      "path": "data/train/p70/numina-000656-0000-a5f03d3b406aa9ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a5f03d3b406aa9cab7c2944af5974a55d07d20e46f82ed493258dbaba2f9ffa8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000657.json b/manifests/batches/numina/000657.json
index 2518befb724d9583b8cb90b260c4afc9a23ab75a..a66e1f54bd2253b8e22895fb3ab0129703d55d2a 100644
--- a/manifests/batches/numina/000657.json
+++ b/manifests/batches/numina/000657.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000657",
   "batch_fingerprint": "3e0c245edbb8968d48ff1e181cf118cb18656f4852fd5ea3055e5a3e3a5c4658",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000657-0000-654da66f654bb9e3.parquet",
-      "sha256": "654da66f654bb9e3144cbfd688456d7209344ff5343146fee6dafe3a73215e98",
-      "bytes": 305648,
-      "rows": 43,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17f64a9c-b990-54ef-9e1f-df0c20bf55a5",
     "numina:243cac38-861c-58c7-b7c5-95d6bfd2bb48",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003287.lean\",\"3a809be03d7d6b868ec9240200a8be4bcd1a947d964b954fd0052039cb5e182a\",0,\"number_theory_636132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003288.lean\",\"2217b260367a008788a1fc74c90e5c4544d037f85f0d417924cec77d7fea4abf\",0,\"number_theory_636143\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003289.lean\",\"7b78c88cf1381f5763b0b794312f05b3d08f3594b7214d82c8a9943086a53a3c\",0,\"number_theory\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305648,
+      "path": "data/train/pe3/numina-000657-0000-654da66f654bb9e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "654da66f654bb9e3144cbfd688456d7209344ff5343146fee6dafe3a73215e98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000658.json b/manifests/batches/numina/000658.json
index 0195e6665c9141a8861fcae2521c85117cebd1a2..9a04b2559a04c2e11e9dd952db2e589690d7c4c0 100644
--- a/manifests/batches/numina/000658.json
+++ b/manifests/batches/numina/000658.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000658",
   "batch_fingerprint": "8c833594f790784e7b56a389c29dcbd9a3a3301ada8e9ea61ef0891b09350e8f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000658-0000-7808ae36b0e31b2b.parquet",
-      "sha256": "7808ae36b0e31b2bd3c5fba0173d61ac052c2a52eee520f35b311e610c13b113",
-      "bytes": 784490,
-      "rows": 29,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/dev/numina-000658-0000-34ddfad5d813928b.parquet",
-      "sha256": "34ddfad5d813928bdea6d370ba8d2b9ee09ebc518f15694e71f6a16e22292bd9",
-      "bytes": 353254,
-      "rows": 17,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:711c3300-aada-521d-acea-9fd969040e73",
     "numina:850fb40f-e96a-552b-8815-c8f875e40081",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003292.lean\",\"25ff2b77953c1d356f9fea22fcca51ac03145aaccdc6d6a84d649625bf2a7c41\",0,\"number_theory_636168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003293.lean\",\"40b5c3e46a487ebe58d68599a93c7bca591905db0db2c1e9ba29ae1a57a748c6\",0,\"number_theory_636183\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003294.lean\",\"ab669327bcac2310f6a9384c8b6f5a1f940a02f28296cc3576ce2a0b2a4df209\",0,\"number_theory_636187\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 784490,
+      "path": "data/train/pd6/numina-000658-0000-7808ae36b0e31b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7808ae36b0e31b2bd3c5fba0173d61ac052c2a52eee520f35b311e610c13b113"
+    },
+    {
+      "bytes": 353254,
+      "path": "data/dev/pd6/numina-000658-0000-34ddfad5d813928b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "34ddfad5d813928bdea6d370ba8d2b9ee09ebc518f15694e71f6a16e22292bd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000659.json b/manifests/batches/numina/000659.json
index 30a3b42074e9c84e3445123c881b8c1b0afc8e50..2950328b4511896f1998564460a5d3eb24e07978 100644
--- a/manifests/batches/numina/000659.json
+++ b/manifests/batches/numina/000659.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000659",
   "batch_fingerprint": "549653554442b311cfbdb153c4fd1c9756038dea2a753d24fceb6300577c24f9",
   "evidence": {
@@ -19,55 +18,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:00f0589d-1f11-5ce3-b319-f7f03f220f37",
+    "numina:0bbd0f93-1698-5ec9-a07b-b0e3bff5b8fd",
+    "numina:559c8e02-e831-5b7d-a0a2-0a790a05eeb0",
+    "numina:7299befa-e5c1-5fd2-90b8-e7456ab03eee",
+    "numina:993fcd76-5c88-5286-9520-1317c992f5de"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003295.lean\",\"10f7d63a750e5c580792e90ced0a8e05b713b4da87679c55ecfb177995c77b4a\",0,\"number_theory_636196\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003296.lean\",\"b46eeba84bb99ca34d372fbd594332a63f3b9cd5449475c8de6a7792a1d7a1a3\",0,\"algebra_636197\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003297.lean\",\"ec12297fda5decdd19c3138d2b1b9aafff3a8e56acefe1d9dbfae6c1eae5f952\",0,\"my_favorite_theorem\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003298.lean\",\"eea285f502fcefd7f00faa516431e6cf6fdc5bacbab27954f5c47e2dcaace285\",0,\"number_theory_636223\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003299.lean\",\"33dbf197473f57a16df4a7631809c46e56b675fb0e0e5305cc7e985a6282c55d\",0,\"number_theory_636233\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000659-0000-b79b67019ad93490.parquet",
-      "sha256": "b79b67019ad93490f94684e547213014157a5e7e191431b3d5c8dfd1ad5f1fc7",
       "bytes": 162698,
+      "path": "data/train/pfb/numina-000659-0000-b79b67019ad93490.parquet",
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       "rows": 33,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
+      "sha256": "b79b67019ad93490f94684e547213014157a5e7e191431b3d5c8dfd1ad5f1fc7"
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-      "path": "data/train/numina-000659-0001-269fb5145e79b8a9.parquet",
-      "sha256": "269fb5145e79b8a98372c5954902728082c854285c8b3e639a50e7cf10d49e82",
       "bytes": 1288883,
+      "path": "data/train/pfb/numina-000659-0001-269fb5145e79b8a9.parquet",
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       "rows": 1,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
+      "sha256": "269fb5145e79b8a98372c5954902728082c854285c8b3e639a50e7cf10d49e82"
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     {
-      "path": "data/train/numina-000659-0002-01255c6ca6d2a6ce.parquet",
-      "sha256": "01255c6ca6d2a6cede15a04bcc27b3acaa2d8846c875923dd7beb3adc8f3d661",
       "bytes": 144793,
+      "path": "data/train/pfb/numina-000659-0002-01255c6ca6d2a6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
+      "sha256": "01255c6ca6d2a6cede15a04bcc27b3acaa2d8846c875923dd7beb3adc8f3d661"
     },
     {
-      "path": "data/internal_test/numina-000659-0000-d6ed9dd4cce0a753.parquet",
-      "sha256": "d6ed9dd4cce0a753ec23bbf6db3d0bb6cdbef561e93c885677cc95c9bb1cc241",
       "bytes": 436199,
+      "path": "data/internal_test/pfb/numina-000659-0000-d6ed9dd4cce0a753.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
+      "sha256": "d6ed9dd4cce0a753ec23bbf6db3d0bb6cdbef561e93c885677cc95c9bb1cc241"
     },
     {
-      "path": "data/internal_test/numina-000659-0001-f48b4c6dff0906e5.parquet",
-      "sha256": "f48b4c6dff0906e5ee9fd4e9024b95861d0bfc0795c86f3f1c80e7ceb160dcbe",
       "bytes": 402753,
+      "path": "data/internal_test/pfb/numina-000659-0001-f48b4c6dff0906e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
+      "sha256": "f48b4c6dff0906e5ee9fd4e9024b95861d0bfc0795c86f3f1c80e7ceb160dcbe"
     }
-  ],
-  "proof_ids": [
-    "numina:00f0589d-1f11-5ce3-b319-f7f03f220f37",
-    "numina:0bbd0f93-1698-5ec9-a07b-b0e3bff5b8fd",
-    "numina:559c8e02-e831-5b7d-a0a2-0a790a05eeb0",
-    "numina:7299befa-e5c1-5fd2-90b8-e7456ab03eee",
-    "numina:993fcd76-5c88-5286-9520-1317c992f5de"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003295.lean\",\"10f7d63a750e5c580792e90ced0a8e05b713b4da87679c55ecfb177995c77b4a\",0,\"number_theory_636196\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003296.lean\",\"b46eeba84bb99ca34d372fbd594332a63f3b9cd5449475c8de6a7792a1d7a1a3\",0,\"algebra_636197\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003297.lean\",\"ec12297fda5decdd19c3138d2b1b9aafff3a8e56acefe1d9dbfae6c1eae5f952\",0,\"my_favorite_theorem\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003298.lean\",\"eea285f502fcefd7f00faa516431e6cf6fdc5bacbab27954f5c47e2dcaace285\",0,\"number_theory_636223\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003299.lean\",\"33dbf197473f57a16df4a7631809c46e56b675fb0e0e5305cc7e985a6282c55d\",0,\"number_theory_636233\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000660.json b/manifests/batches/numina/000660.json
index d8530a932cb77894427e88c0a518e1d6197c383d..f875f80cbc281b3e0f5e337cb37e8a7b2d7bf55f 100644
--- a/manifests/batches/numina/000660.json
+++ b/manifests/batches/numina/000660.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000660",
   "batch_fingerprint": "b700b1fe65948a2134476faafc35a1ec8dfdb9558f4854acdef4641762d8fc56",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000660-0000-bc965b0627e4a9d8.parquet",
-      "sha256": "bc965b0627e4a9d8c92e2ce3b2d2839da0e2ba255cc93a382fd8629b71be38f6",
-      "bytes": 489580,
-      "rows": 26,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/internal_test/numina-000660-0000-282998beee18a5ae.parquet",
-      "sha256": "282998beee18a5ae0556b2ddd2558ea02320c88d10b01ab416ccfedde57e9645",
-      "bytes": 143112,
-      "rows": 33,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e2979b6-03c1-5365-aa21-5577ce6f41a0",
     "numina:5d6fd956-ad57-55ec-acc3-aef4a6b7f6d0",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003302.lean\",\"95ac308b4b8826fe2d9f5eeb3f793c1d5c29e270d86acc1599329f2fdca0232d\",0,\"number_theory_636266\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003303.lean\",\"e70bda1d173fb79678954a7434c62c24191cef5f7256f20023c3295185dfe4cb\",0,\"divisibility_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003304.lean\",\"8e43e8c8ad43db0b74bb9e2ab15b571dc647bb3516095310cd9aca93ba01f453\",0,\"number_theory_636283\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 489580,
+      "path": "data/train/pb2/numina-000660-0000-bc965b0627e4a9d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "bc965b0627e4a9d8c92e2ce3b2d2839da0e2ba255cc93a382fd8629b71be38f6"
+    },
+    {
+      "bytes": 143112,
+      "path": "data/internal_test/pb2/numina-000660-0000-282998beee18a5ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "282998beee18a5ae0556b2ddd2558ea02320c88d10b01ab416ccfedde57e9645"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000661.json b/manifests/batches/numina/000661.json
index a34eafb74ad04beeb92ecc4a58d3dbb6932a1cff..22c7ff682e8373a4b225f1874b1144070fd4db1e 100644
--- a/manifests/batches/numina/000661.json
+++ b/manifests/batches/numina/000661.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000661",
   "batch_fingerprint": "56f53c8ca0f11b21051dc0a0ac969e8182aef84780f4c50a3bbfcabb4c67e0fd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000661-0000-f4afc44cfe0a8a6e.parquet",
-      "sha256": "f4afc44cfe0a8a6eabfe261e0a22d6ba97ab6bb25b3fb9698521acf156dc9db6",
-      "bytes": 288132,
-      "rows": 29,
-      "revision": "e3890682a5e2e10697e098d86df1ce738bd221c3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:255c4ca8-41b7-5f26-a4d1-340dfe55dd88",
     "numina:3923717c-06d6-5dec-a650-017757702c23",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003307.lean\",\"78d0a8539300d64aa278f00236505399d1d5d1d676078ff7dca5d4fa83c870b4\",0,\"number_theory_636357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003308.lean\",\"97293495a2287d98a516773920459e5e1de4c118200d5a9dc649de10751658e4\",0,\"number_theory_636373\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003309.lean\",\"7ec86302135894bb40e19089d6c74a7cb43724f873e9d1abdc54a5459e3f8cad\",0,\"algebra_636388\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288132,
+      "path": "data/train/p2d/numina-000661-0000-f4afc44cfe0a8a6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f4afc44cfe0a8a6eabfe261e0a22d6ba97ab6bb25b3fb9698521acf156dc9db6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000662.json b/manifests/batches/numina/000662.json
index 3756cc5ac29f7f527a70856f88bbea61fb853d65..5f157717d646ba60a737bcc5313a84c7d5f9db6c 100644
--- a/manifests/batches/numina/000662.json
+++ b/manifests/batches/numina/000662.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000662",
   "batch_fingerprint": "2225fc378b572afef0ef59829a5005e2a7ad7f92fa5d3da17723c642029fb694",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000662-0000-463e6293886f8762.parquet",
-      "sha256": "463e6293886f876243272e739501764f817a50c7b8215d4746de7042df4702ff",
-      "bytes": 415344,
-      "rows": 28,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:236010e0-41d7-5318-ac49-70dbc89f217d",
     "numina:83ec11d6-6e00-5f7d-9f51-82da299693fe",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003312.lean\",\"74a7e98776592056088f20a8144bf4f2f9945fa7ee26085c34db92558b3b7222\",0,\"number_theory_636422\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003313.lean\",\"49a142a66aa0c32db23a6384586919a98f8e6e73143218ebc8feb623cb9ff5c3\",0,\"number_theory_636425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003314.lean\",\"1915ef728622599903f90f9e8c64908dbe7de68cbe7943ccf0c1d97d44067721\",0,\"number_theory_636434\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415344,
+      "path": "data/train/p6b/numina-000662-0000-463e6293886f8762.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "463e6293886f876243272e739501764f817a50c7b8215d4746de7042df4702ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000663.json b/manifests/batches/numina/000663.json
index b6039822b528606320bf006d9b0876c03461aeac..ef617e057fa5062d1d82d51ac3cee1d11207b620 100644
--- a/manifests/batches/numina/000663.json
+++ b/manifests/batches/numina/000663.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000663",
   "batch_fingerprint": "81ea4be2ac109c8685a85c46492de92fc4f225b75ac1215d843babdc947498c3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000663-0000-a6257619ede32eb1.parquet",
-      "sha256": "a6257619ede32eb198cbee9074542639f8e028cfce0107478750d00d0e099f6b",
-      "bytes": 138980,
-      "rows": 21,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/internal_test/numina-000663-0000-3d49a219e0dce3f1.parquet",
-      "sha256": "3d49a219e0dce3f13b8a6f715363febd06400a03d3426e18bdf4a2ffaac2cd67",
-      "bytes": 78145,
-      "rows": 4,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:357044e9-6d92-58c9-90c4-801049214dee",
     "numina:40d3b5b7-6039-5172-a551-80b042bbeffb",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003317.lean\",\"8067054971a6e5d72639250d23b7c4a384f0a8379171f5de27464763dc6ba8b2\",13,\"number_theory_636855\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003318.lean\",\"d6c00f0ac4ce2c0a4186c5d2d2a5c2fcc5ae621d6ceea059c48ac124e28f8803\",0,\"number_theory_636481\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003319.lean\",\"e93d766f75243e26978e17b44a8f3d03bc868e6a1851889046f5fbae4d5ddde1\",0,\"number_theory_636482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138980,
+      "path": "data/train/p7c/numina-000663-0000-a6257619ede32eb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a6257619ede32eb198cbee9074542639f8e028cfce0107478750d00d0e099f6b"
+    },
+    {
+      "bytes": 78145,
+      "path": "data/internal_test/p7c/numina-000663-0000-3d49a219e0dce3f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3d49a219e0dce3f13b8a6f715363febd06400a03d3426e18bdf4a2ffaac2cd67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000664.json b/manifests/batches/numina/000664.json
index 754ac91ab1a0a2109529031f2c56eef3cdd3741f..e0b833e4a588c3ad7f421cc37b3d4aa76a4cdd89 100644
--- a/manifests/batches/numina/000664.json
+++ b/manifests/batches/numina/000664.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000664",
   "batch_fingerprint": "869c8e3f1f3d51721ce94728a5e33c970f54920f1f6df318a2e264c4987818ea",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000664-0000-1df1e72aeae02363.parquet",
-      "sha256": "1df1e72aeae02363ee284b6a23abc7835143a3acd7978242d836b0bc0f6656a0",
-      "bytes": 512787,
-      "rows": 44,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/dev/numina-000664-0000-6d349ac6a7783723.parquet",
-      "sha256": "6d349ac6a77837239d990f227e001d0adc53bb72851013c4fd77a1f445ff7987",
-      "bytes": 35451,
-      "rows": 5,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/internal_test/numina-000664-0000-bda469e25e88f737.parquet",
-      "sha256": "bda469e25e88f73707127f0499eabbb772a9b2581bdeb225027c7fb4736bf8e2",
-      "bytes": 74316,
-      "rows": 14,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04a9c973-5a09-5441-a7b6-611703b904bd",
     "numina:13f41de8-97e1-5bc1-b17e-7be0b12b6e76",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003322.lean\",\"779e296537d0bc14718e50c242affa255c1f056be848238c252ae757609db987\",0,\"number_theory_636529\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003323.lean\",\"7a8e385c9770921f3f71a7e154639b209fa0b9b35f5b04f8f3a08244eaeb27b8\",0,\"number_theory_636551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003324.lean\",\"75499acf89c24eb1d0d539bee3f114e6f74c199d16c6bbcd0971e59e1fe6bc8f\",0,\"number_theory_636553\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512787,
+      "path": "data/train/p1b/numina-000664-0000-1df1e72aeae02363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "1df1e72aeae02363ee284b6a23abc7835143a3acd7978242d836b0bc0f6656a0"
+    },
+    {
+      "bytes": 35451,
+      "path": "data/dev/p1b/numina-000664-0000-6d349ac6a7783723.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6d349ac6a77837239d990f227e001d0adc53bb72851013c4fd77a1f445ff7987"
+    },
+    {
+      "bytes": 74316,
+      "path": "data/internal_test/p1b/numina-000664-0000-bda469e25e88f737.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bda469e25e88f73707127f0499eabbb772a9b2581bdeb225027c7fb4736bf8e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000665.json b/manifests/batches/numina/000665.json
index 026f5dcc6761879e06a8666fad364ed107f5260b..38a57b9e10ad177253afd030f64fc73224124342 100644
--- a/manifests/batches/numina/000665.json
+++ b/manifests/batches/numina/000665.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000665",
   "batch_fingerprint": "ad6482faf005d04dc70190864b77fe437b7ce2362d85a242b5a80293c5965028",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000665-0000-89aea32bd2366a44.parquet",
-      "sha256": "89aea32bd2366a44e383f9326325a25f180bceaafc1a93767704a38281f76f26",
-      "bytes": 223490,
-      "rows": 17,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1328b121-c165-564a-ad76-07417bd8b0b6",
     "numina:1755b8c1-41bf-59ba-bb3d-0201e282b413",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003327.lean\",\"88070dd243e92a3e4ac7b63b55b68da25d9ebfd39a8428874f091544ddf50f0c\",1,\"method2.number_theory_636586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003328.lean\",\"de9c0ad03e97ed54981f50331febed3caa4c7c93de2626e243faf0edd6d8fcb1\",0,\"number_theory_636587\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003329.lean\",\"a9e2921a2d1122b503244adc04929075858535ad4f117641f1738237582b5bb8\",1,\"number_theory_636589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223490,
+      "path": "data/train/p24/numina-000665-0000-89aea32bd2366a44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "89aea32bd2366a44e383f9326325a25f180bceaafc1a93767704a38281f76f26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000666.json b/manifests/batches/numina/000666.json
index 094f16fd1ee68e7428326fd017e3ebf8621df71b..88e10cb6b75e163e664329f2b21259d3937a5c59 100644
--- a/manifests/batches/numina/000666.json
+++ b/manifests/batches/numina/000666.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000666",
   "batch_fingerprint": "83a00e24358aa5448b7ba022ba6bc61dbeaac623fc8e733c40e425f3db68621c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000666-0000-249d4713c0d146e3.parquet",
-      "sha256": "249d4713c0d146e395b2e1d3be5d601afc178446e3908591e840fef1d348c610",
-      "bytes": 151856,
-      "rows": 42,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/internal_test/numina-000666-0000-80b9edae8f0fa61b.parquet",
-      "sha256": "80b9edae8f0fa61b7cd75d58a172527b8c0005a9e3a8fe8a938fa86ee793f1a2",
-      "bytes": 35001,
-      "rows": 3,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0dcbc15e-2cf1-56ac-afe4-281723e8b08d",
     "numina:24c21efb-665a-56f1-a1b0-31c977bd110d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003332.lean\",\"2a886f00366543cd42f450c6f39ee5d98d67f1b3df64b2dcc20738c82b418129\",0,\"number_theory_636610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003333.lean\",\"aa5862ba34b570605a0e385c7f420f60c39273b95c7b6879f85d0154840fb69d\",0,\"number_theory_636613\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003334.lean\",\"a401ee9005f15fd42122a76ee720afe06fd9fbdb991ab28f879adb61e9d6b339\",1,\"number_theory_636619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151856,
+      "path": "data/train/p1e/numina-000666-0000-249d4713c0d146e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "249d4713c0d146e395b2e1d3be5d601afc178446e3908591e840fef1d348c610"
+    },
+    {
+      "bytes": 35001,
+      "path": "data/internal_test/p1e/numina-000666-0000-80b9edae8f0fa61b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "80b9edae8f0fa61b7cd75d58a172527b8c0005a9e3a8fe8a938fa86ee793f1a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000667.json b/manifests/batches/numina/000667.json
index 2ed2f5c065a15297d22ab07f0a1bb9d37dcb61a8..f9d65ed0d470b904b1a13fca0244fa2d7a3b8ed5 100644
--- a/manifests/batches/numina/000667.json
+++ b/manifests/batches/numina/000667.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000667",
   "batch_fingerprint": "3f561a643f3d647faa79d041a7b9546d8c47f4d3ce0670c25223833bcdf4eaca",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000667-0000-d2195bc65c47283b.parquet",
-      "sha256": "d2195bc65c47283b3e9f522607882cec6f687a892e164f5dd158c3bc9d8e3741",
-      "bytes": 118237,
-      "rows": 24,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/internal_test/numina-000667-0000-f820e1371a7c6bec.parquet",
-      "sha256": "f820e1371a7c6bec847eaa007065a94af2609597b4266a6550cb8ba028f4cd53",
-      "bytes": 49164,
-      "rows": 11,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22c16c7e-8520-5108-b300-62951bd05c07",
     "numina:29cb5152-d7fb-5558-8233-00a263d8a61b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003337.lean\",\"ec23c224dc97d7eed84f0fa068b84fa65c6d8a413f47df6fd2b063dede1836a7\",6,\"number_theory_636687\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003338.lean\",\"7f0fc967fa2fadd07996532f0ffbc609f4acb8a0512eb7ab1268eff55e51a896\",0,\"number_theory_636697\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003339.lean\",\"fbd2d419b853959f7a292caa044b998b65c68948cba1b2fe4887598d103a5312\",0,\"exists_digits_for_1089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118237,
+      "path": "data/train/pea/numina-000667-0000-d2195bc65c47283b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d2195bc65c47283b3e9f522607882cec6f687a892e164f5dd158c3bc9d8e3741"
+    },
+    {
+      "bytes": 49164,
+      "path": "data/internal_test/pea/numina-000667-0000-f820e1371a7c6bec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f820e1371a7c6bec847eaa007065a94af2609597b4266a6550cb8ba028f4cd53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000668.json b/manifests/batches/numina/000668.json
index 5b50060f463897b5c6a86a68027d8a36eced8d12..367f5bbcf8cd5b169ce525d918b3edb178186e07 100644
--- a/manifests/batches/numina/000668.json
+++ b/manifests/batches/numina/000668.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000668",
   "batch_fingerprint": "cf51c3e5c8fcc9ba2ed3ea0e2c5de405f4057f9d625be8724d90970f2c29ff0c",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000668-0000-6bc17495edadd365.parquet",
-      "sha256": "6bc17495edadd365dfafa466cb8a36b645f9891219de39424222b7945d23eb43",
-      "bytes": 78994,
-      "rows": 20,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2efe5f81-e72e-5ded-861a-f09dd0a90129",
     "numina:392d98d9-541f-5c80-a071-f9dcff098996",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003341.lean\",\"cd20aa19b48b5cafa67bec9db968e3fb7142c39dd1041f03235b9b73f09f30e3\",0,\"integer_base_problem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003343.lean\",\"dbdd152d500583873c9567c1632d136bc64098765348e14544d8193115c5f803\",0,\"number_theory_636731\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003344.lean\",\"840557575fcddb4daec726fee396961410e54fae0910eb64f3270ddc1cbf6e8c\",0,\"Number_Theory_636732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78994,
+      "path": "data/train/p23/numina-000668-0000-6bc17495edadd365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6bc17495edadd365dfafa466cb8a36b645f9891219de39424222b7945d23eb43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000669.json b/manifests/batches/numina/000669.json
index 02aa48638198b2938403f4f173f05fc777ca1839..fd83ad5a4c3c6b12ed3852679b06efd44a381482 100644
--- a/manifests/batches/numina/000669.json
+++ b/manifests/batches/numina/000669.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000669",
   "batch_fingerprint": "1063904178cb52d6ab91073bd6282e739f72748561a911cc208fc1282b0797b4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000669-0000-e7873d617884a12c.parquet",
-      "sha256": "e7873d617884a12c66d97ca87e21d203d7b9f0690cff47645f829507381e8b22",
-      "bytes": 195304,
-      "rows": 29,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:50f22074-6be4-5c0a-94ca-2229c1723154",
     "numina:5dbaf637-b1c2-5c6e-bdf5-921236b929cb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003347.lean\",\"a4967b9648297689f56e0c5025769ad541160a2557865649027bf92891cb6e60\",0,\"number_theory_636754\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003348.lean\",\"01519bd8e8686062702fc69cff3f47e53e81229a5b0d1c19fda6f869e2d8dc6f\",0,\"number_theory_636777\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003349.lean\",\"125539de1624dae184c1c613ca45f4b80bb2add06edc200b95844390e0595f19\",0,\"number_theory_636788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195304,
+      "path": "data/train/pf4/numina-000669-0000-e7873d617884a12c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e7873d617884a12c66d97ca87e21d203d7b9f0690cff47645f829507381e8b22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000670.json b/manifests/batches/numina/000670.json
index e8d56cd4dba31267172e090b6b97384a5554b3e9..bc72d0f73c10b1f527bc1b847a9a3b60915f646f 100644
--- a/manifests/batches/numina/000670.json
+++ b/manifests/batches/numina/000670.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000670",
   "batch_fingerprint": "7bdd4a7ba7fd8cdc128bf0d37df5893bd2d06ee46551fd6e017711c4cc133253",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0c00cc72-0554-5bbe-a231-2224a5c2e8f0",
+    "numina:2e75d9c4-563a-5952-ac3e-7ba8e396c708",
+    "numina:4c117f89-b242-5ea8-b14a-5e5ea37db264",
+    "numina:50de7e79-95e7-5616-aa76-424ba7fa0aa7",
+    "numina:73834de8-ff58-52db-b49f-355e481c7fdf"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003350.lean\",\"4c98420db754966ac90fc95bbab48e31487ff3bb47c50cc52fd5a31cabea704d\",0,\"number_theory_636792\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003351.lean\",\"e3f2427bcd1237d03a5f56023c17feb0b6fb9f901aa1416d9488344d7ca0ed46\",0,\"number_theory_636834\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003352.lean\",\"268b101b3db50439dff3bc5d486245f296f1393377e64fd2af37c9483b82ede9\",13,\"number_theory_636855\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003353.lean\",\"36163df6b9581301e253e5690c38031542a69a49727560f88935c943e0206ff9\",0,\"number_theory_636861\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003354.lean\",\"df9ef9de8894f700889473d52919f308352033f47996a1ce66957952b3e0403b\",0,\"a_p_plus_three_eq_three_of_prime_7_mod12\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000670-0000-9f0ddde6c4b5691e.parquet",
-      "sha256": "9f0ddde6c4b5691ec718bfdf6a86c068219b770b85af40660c9bced87737de1b",
       "bytes": 471813,
+      "path": "data/train/pdf/numina-000670-0000-9f0ddde6c4b5691e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 50,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
+      "sha256": "9f0ddde6c4b5691ec718bfdf6a86c068219b770b85af40660c9bced87737de1b"
     },
     {
-      "path": "data/train/numina-000670-0001-cde04c5e74b1261f.parquet",
-      "sha256": "cde04c5e74b1261f61c48b5f64d33654f56e209316eb386896bcde650d5ceb43",
       "bytes": 343166,
+      "path": "data/train/pdf/numina-000670-0001-cde04c5e74b1261f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
+      "sha256": "cde04c5e74b1261f61c48b5f64d33654f56e209316eb386896bcde650d5ceb43"
     },
     {
-      "path": "data/train/numina-000670-0002-79141af910b77bb1.parquet",
-      "sha256": "79141af910b77bb168b4f83fb051a735b95bcceac36a489a5219a5fc5a7a5781",
       "bytes": 176559,
+      "path": "data/train/pdf/numina-000670-0002-79141af910b77bb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
+      "sha256": "79141af910b77bb168b4f83fb051a735b95bcceac36a489a5219a5fc5a7a5781"
     },
     {
-      "path": "data/internal_test/numina-000670-0000-1c21f4bbbe72776d.parquet",
-      "sha256": "1c21f4bbbe72776de99d2f2469db1464a9238508310264e7e083a2942b3faa01",
       "bytes": 159983,
+      "path": "data/internal_test/pdf/numina-000670-0000-1c21f4bbbe72776d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
+      "sha256": "1c21f4bbbe72776de99d2f2469db1464a9238508310264e7e083a2942b3faa01"
     }
-  ],
-  "proof_ids": [
-    "numina:0c00cc72-0554-5bbe-a231-2224a5c2e8f0",
-    "numina:2e75d9c4-563a-5952-ac3e-7ba8e396c708",
-    "numina:4c117f89-b242-5ea8-b14a-5e5ea37db264",
-    "numina:50de7e79-95e7-5616-aa76-424ba7fa0aa7",
-    "numina:73834de8-ff58-52db-b49f-355e481c7fdf"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003350.lean\",\"4c98420db754966ac90fc95bbab48e31487ff3bb47c50cc52fd5a31cabea704d\",0,\"number_theory_636792\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003351.lean\",\"e3f2427bcd1237d03a5f56023c17feb0b6fb9f901aa1416d9488344d7ca0ed46\",0,\"number_theory_636834\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003352.lean\",\"268b101b3db50439dff3bc5d486245f296f1393377e64fd2af37c9483b82ede9\",13,\"number_theory_636855\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003353.lean\",\"36163df6b9581301e253e5690c38031542a69a49727560f88935c943e0206ff9\",0,\"number_theory_636861\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003354.lean\",\"df9ef9de8894f700889473d52919f308352033f47996a1ce66957952b3e0403b\",0,\"a_p_plus_three_eq_three_of_prime_7_mod12\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000671.json b/manifests/batches/numina/000671.json
index a8d70503c1c8a41d5a5260112ecfb75553024a0f..525da1b10849222c2789d411b765b6b5748eb076 100644
--- a/manifests/batches/numina/000671.json
+++ b/manifests/batches/numina/000671.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000671",
   "batch_fingerprint": "c1569b388f64e68531f3efe83676f9dd6473f37cf8d9e618753ab25d40ee171a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000671-0000-b4ac91c77d72cfb2.parquet",
-      "sha256": "b4ac91c77d72cfb28591c638b31a2883a3596d3e82ddaccf5ae2a2b06a23538f",
-      "bytes": 322354,
-      "rows": 37,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000671-0000-3edf4025d0779aae.parquet",
-      "sha256": "3edf4025d0779aae019fa42cacaba80a0f07018399bf8d55bcb1aa93941c1609",
-      "bytes": 156624,
-      "rows": 6,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ec54a3e-915e-5e56-9d93-ee7eec22a06a",
     "numina:650778d7-0bb4-5a87-8f15-68691f7c4456",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003357.lean\",\"7fc833b0ced55463bfbb39366727bc71f7954b4dfe63a4839392754765bd095a\",1,\"number_theory_636896\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003358.lean\",\"50ef478238bee7f1411d27f80f0b590ea8614c9cb30dd56bd75b98fd50312b69\",0,\"number_theory_636901\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003359.lean\",\"343cc355113ff0a95f23dec1c11cef0be05a6892ba80c0dcf3b943f175a0793a\",0,\"minimal_x\u2081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322354,
+      "path": "data/train/pbe/numina-000671-0000-b4ac91c77d72cfb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "b4ac91c77d72cfb28591c638b31a2883a3596d3e82ddaccf5ae2a2b06a23538f"
+    },
+    {
+      "bytes": 156624,
+      "path": "data/internal_test/pbe/numina-000671-0000-3edf4025d0779aae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3edf4025d0779aae019fa42cacaba80a0f07018399bf8d55bcb1aa93941c1609"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000672.json b/manifests/batches/numina/000672.json
index 085bb55b87629b020628dd9a8144728dbc8925db..e34554ec0dfc112242d81f3acdbb89da5732a496 100644
--- a/manifests/batches/numina/000672.json
+++ b/manifests/batches/numina/000672.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000672",
   "batch_fingerprint": "5e0c4aa34bd70b2502862c3f6813338e4a4821fb1043bf2f9e7dfdc70ca47aa6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000672-0000-1522934bf2310a7a.parquet",
-      "sha256": "1522934bf2310a7a0565926239cf217f178e39d49954e888c579edd092cf5713",
-      "bytes": 395078,
-      "rows": 49,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000672-0000-cd5ad8e0c8f07aa4.parquet",
-      "sha256": "cd5ad8e0c8f07aa4f3377090d2c60df318436b6c4370d963cf378acfb672410b",
-      "bytes": 59558,
-      "rows": 11,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07d77c9b-f87d-5c31-accb-79c1d5068c54",
     "numina:7af622b1-c5ff-54b2-946f-bc1f57d83480",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003362.lean\",\"019a757e47e744dcf1cd5a0a9be2e5e571750b191d3c2db2ea01240d5205a0fe\",0,\"exists_m_divisible_by_D\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003363.lean\",\"377b4da7652ed32cbeafde2b7cce2f9d7f779c6e193f4724e24a0fd739a99a5d\",0,\"number_theory_636980\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003364.lean\",\"4aa3ae19eaf58a24e85f2e422dcd7e1874a9ae8a3534e78c49d748e2e7bdd2ca\",0,\"number_theory_636993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395078,
+      "path": "data/train/p64/numina-000672-0000-1522934bf2310a7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "1522934bf2310a7a0565926239cf217f178e39d49954e888c579edd092cf5713"
+    },
+    {
+      "bytes": 59558,
+      "path": "data/internal_test/p64/numina-000672-0000-cd5ad8e0c8f07aa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cd5ad8e0c8f07aa4f3377090d2c60df318436b6c4370d963cf378acfb672410b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000673.json b/manifests/batches/numina/000673.json
index 336367f809e1fd4829a30e24e5d80e28f126b12c..408f359fe843533a876551e77a98c67522333e75 100644
--- a/manifests/batches/numina/000673.json
+++ b/manifests/batches/numina/000673.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000673",
   "batch_fingerprint": "d00090d8d69428f858f036f1dd98f0f0cbe73ffd2b1d8fb57ba40d8ef28fbdab",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000673-0000-5353ad3d14904f16.parquet",
-      "sha256": "5353ad3d14904f1623f36ba82cf6e0647dcbe91f80970c780a6734a4b7b6d303",
-      "bytes": 399705,
-      "rows": 37,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000673-0000-5513692d053c53b1.parquet",
-      "sha256": "5513692d053c53b1de487b31d3ba991a6507674b6816d2da3464c1108ad09a8e",
-      "bytes": 44339,
-      "rows": 6,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:102d4957-fff8-5b61-9a1c-bd5aa1dc713f",
     "numina:3769119f-f649-5488-9e92-7f6443c0f3f3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003367.lean\",\"fa01ec18d95aeee48b00a54787d9046cd9af5cf9f850f9f69cafd5c355023ef4\",0,\"number_theory_637024\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003368.lean\",\"eb9465a820243548ae73913272921df4a78f25a89f4a5fbb866d713ce48cffad\",0,\"number_theory_637031\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003369.lean\",\"8b1ed9b7528770a5dbc8dccfc82b6165d806317a4d230908fb31c74f6fa822b2\",0,\"number_theory_637049\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399705,
+      "path": "data/train/p0a/numina-000673-0000-5353ad3d14904f16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "5353ad3d14904f1623f36ba82cf6e0647dcbe91f80970c780a6734a4b7b6d303"
+    },
+    {
+      "bytes": 44339,
+      "path": "data/internal_test/p0a/numina-000673-0000-5513692d053c53b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5513692d053c53b1de487b31d3ba991a6507674b6816d2da3464c1108ad09a8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000674.json b/manifests/batches/numina/000674.json
index 1bc9f5e525af0dbbee1c1aac1548ee3854a95cda..dd05d29720b61b91183494a7ab3fada6d38e8b4e 100644
--- a/manifests/batches/numina/000674.json
+++ b/manifests/batches/numina/000674.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000674",
   "batch_fingerprint": "c268cdcd4ac5badcd038ab81b58c0f9e69932656f6439e7de49b28604bac6f3e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000674-0000-5fa793bd7112b253.parquet",
-      "sha256": "5fa793bd7112b25367c2455ba5fdd12b6664b7ee95e72cb33a3a5e9049a88722",
-      "bytes": 154516,
-      "rows": 37,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    },
-    {
-      "path": "data/dev/numina-000674-0000-ed7f384a5f47995d.parquet",
-      "sha256": "ed7f384a5f47995d3b66a1636f6de9da3609a264165c868613017f0c7dd2d125",
-      "bytes": 45404,
-      "rows": 4,
-      "revision": "6f03a35ad3a68fad3d1be866a14abed04d6e2ea5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a8b9b14-2164-545a-91c8-45c7bf4bf9c2",
     "numina:12346ec5-fb43-5b34-ab17-03d25aa75db1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003372.lean\",\"7b66115d7c17596913c41b83a422413861651dbad4bc9ad3af2abe36a25a57c6\",0,\"number_theory_637094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003373.lean\",\"582643260893da70072d700bed0a1b62f2c57368598c848d89ba8d2679c1f30a\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003374.lean\",\"79709debff0ec544f9842a30fae2abc121a412cf436b0a10401cf543c950d830\",0,\"number_theory_637117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154516,
+      "path": "data/train/p5e/numina-000674-0000-5fa793bd7112b253.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "5fa793bd7112b25367c2455ba5fdd12b6664b7ee95e72cb33a3a5e9049a88722"
+    },
+    {
+      "bytes": 45404,
+      "path": "data/dev/p5e/numina-000674-0000-ed7f384a5f47995d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ed7f384a5f47995d3b66a1636f6de9da3609a264165c868613017f0c7dd2d125"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000675.json b/manifests/batches/numina/000675.json
index 5736c8d28e5c50dcfc043b6bb12310cd9224ec7d..1216ef981c680b2d6d0084c20490cb4bdb358738 100644
--- a/manifests/batches/numina/000675.json
+++ b/manifests/batches/numina/000675.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000675",
   "batch_fingerprint": "6a813307c05801d0501bd5c3e57241904f4684fa88310a17c39a53937b9d4d9e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000675-0000-b824d272276f4b5c.parquet",
-      "sha256": "b824d272276f4b5ca04c1fbbf1587de5834f12096b849bb1058c52fc5b51f280",
-      "bytes": 707877,
-      "rows": 48,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/train/numina-000675-0001-c622d3fb031b1f59.parquet",
-      "sha256": "c622d3fb031b1f59686e98adaff2defd3cc3580698b097641af94babe539cfba",
-      "bytes": 200062,
-      "rows": 16,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08d7f2b4-a2b5-5817-94ab-7255db9a5c91",
     "numina:54181bc4-a6dd-5e43-b99c-1aabd48f974f",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003377.lean\",\"369e9d3da54d92327cfaf3e5e5161e50a1f6f81fdb40f1c5e4f46c690b1fef8a\",1,\"number_theory_637156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003378.lean\",\"a412152db33ddbd4feb068849c8aeeb155ea304190737c39e0cab12ea9ce17bf\",0,\"number_theory_637159\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003379.lean\",\"abfbba85d83b7f9bdd084e3b1de020cdda1e208c4eb86abbf4ef7bc5848550d0\",0,\"number_theory_637163\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707877,
+      "path": "data/train/pca/numina-000675-0000-b824d272276f4b5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "b824d272276f4b5ca04c1fbbf1587de5834f12096b849bb1058c52fc5b51f280"
+    },
+    {
+      "bytes": 200062,
+      "path": "data/train/pca/numina-000675-0001-c622d3fb031b1f59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c622d3fb031b1f59686e98adaff2defd3cc3580698b097641af94babe539cfba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000676.json b/manifests/batches/numina/000676.json
index eb4d54d512e9de7874397e33b543572b77bd7c81..b604fd11d220044ee63bc33ad4c9c53671d158bd 100644
--- a/manifests/batches/numina/000676.json
+++ b/manifests/batches/numina/000676.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000676",
   "batch_fingerprint": "ef1763497b179a11405a42905984f113002ca8e958406cb3e00f40e52683b463",
   "evidence": {
@@ -45,22 +44,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000676-0000-1d195fc0b6fabaec.parquet",
-      "sha256": "1d195fc0b6fabaeca5f0bfcc71eb259904f00b880899da3afa0837e5c7f6e8f5",
-      "bytes": 157915,
-      "rows": 15,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000676-0000-cef066ba2094acfa.parquet",
-      "sha256": "cef066ba2094acfa8dc455c95f55e02d6b2f499988b441ae1e0c7db8868179f9",
-      "bytes": 108104,
-      "rows": 12,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d1626c4-e16a-5c72-bd46-b2489269aa5c",
     "numina:544f8a36-ef19-597f-9401-5ff90356647e",
@@ -72,5 +56,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003382.lean\",\"4c2f4cda4bf1cdbea04beb11337e3e5d8870b79e8fdc122e3da748f477af9e73\",0,\"number_theory_637246\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003383.lean\",\"fe7fa9f2dfcb8fc05e864e71b3ea11baec448e777f25255d19854ab087dcfc93\",0,\"number_theory_637257\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003384.lean\",\"594d3a35bc42905bd144f546deb1c86b1f8af7912338fc70fe8b6a23a7467b0a\",0,\"algebra_637259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157915,
+      "path": "data/train/p75/numina-000676-0000-1d195fc0b6fabaec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1d195fc0b6fabaeca5f0bfcc71eb259904f00b880899da3afa0837e5c7f6e8f5"
+    },
+    {
+      "bytes": 108104,
+      "path": "data/internal_test/p75/numina-000676-0000-cef066ba2094acfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cef066ba2094acfa8dc455c95f55e02d6b2f499988b441ae1e0c7db8868179f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000677.json b/manifests/batches/numina/000677.json
index b24e8c468c410208e4e0c077403155ef6bc09ba0..642f49b355129bf0f417712a5d6a23320b0ebb23 100644
--- a/manifests/batches/numina/000677.json
+++ b/manifests/batches/numina/000677.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000677",
   "batch_fingerprint": "ebe66f7713f7d7ace5e8d0ca0dd6307a9e368dcc6cd537227760082833f83fbe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000677-0000-4d51a2e722188bda.parquet",
-      "sha256": "4d51a2e722188bda339f65970be5b22b77c5abad1e0cda71c85bbe04765adc89",
-      "bytes": 411409,
-      "rows": 51,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02cd679b-de8a-5be6-b8f5-ef1cf6ece11c",
     "numina:6d20ccad-2007-52d1-999c-4e85fb4f0158",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003387.lean\",\"a038d6b9ac1426238df20b7b5a08c30898ffe15eee161fdeff2309c6bc9b47d1\",0,\"algebra_637334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003388.lean\",\"39676ad726417ca4523efd7e02b30e3112d0c2ba435c1b4bee74e8ded3eb1f1a\",0,\"algebra_637351\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003389.lean\",\"000917138ad80c046ef096d8907496641eb4de84f85e8dcf9feab6206b2ec894\",1,\"number_theory_637353\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411409,
+      "path": "data/train/pc3/numina-000677-0000-4d51a2e722188bda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "4d51a2e722188bda339f65970be5b22b77c5abad1e0cda71c85bbe04765adc89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000678.json b/manifests/batches/numina/000678.json
index 7aed6ef2e0f8cd92bfdac0a828a7893448ccb0e9..8d44cdfaa11c6f010d5b5655be03df15158b7de4 100644
--- a/manifests/batches/numina/000678.json
+++ b/manifests/batches/numina/000678.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000678",
   "batch_fingerprint": "7ce472223ec11499ed5d843d2a2f72b018a9ea12e446431fc8b10d1207b58d33",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000678-0000-4660d91ebc761e06.parquet",
-      "sha256": "4660d91ebc761e06625db9ff37f15ab4eecc8bcf19d80c494659f029b9dc007c",
-      "bytes": 159047,
-      "rows": 26,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5811b3d1-6e9d-534c-bd70-d7a3728e0f7f",
     "numina:994b3c92-35fc-5339-8b39-7915e4dcfdec",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003391.lean\",\"d42d5515fe27aa441beefa4c128c5e41f9769f093826592268830b58f400d0e1\",0,\"number_theory_637374\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003392.lean\",\"0ae785554fafbaf4c6d1a7cfb0c2d12406b1275c62f185eb0afcbf60c860fa21\",0,\"number_theory_637388\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003394.lean\",\"79931a2eea89a2879ecb5d4837d7e9e2cb69726516eb364d6f4e446b9001a5ea\",0,\"number_theory_637404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159047,
+      "path": "data/train/p03/numina-000678-0000-4660d91ebc761e06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "4660d91ebc761e06625db9ff37f15ab4eecc8bcf19d80c494659f029b9dc007c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000679.json b/manifests/batches/numina/000679.json
index 556e664cc9b08a522f3a291085f4951c45868373..fd47dbe16e343b9fabe673e8f3500533c72ee88c 100644
--- a/manifests/batches/numina/000679.json
+++ b/manifests/batches/numina/000679.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000679",
   "batch_fingerprint": "c7bb25591243f5e74998d9ac0f56ffeb9d9ab5ce3ef4e17673e61cd5d0380c10",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000679-0000-b594e877d24b9027.parquet",
-      "sha256": "b594e877d24b9027e10732b4e97e05acd448df884d0ac740f2c26b7d8ceda180",
-      "bytes": 638485,
-      "rows": 61,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/internal_test/numina-000679-0000-edc3c8bbea9e82b7.parquet",
-      "sha256": "edc3c8bbea9e82b757c4b3997d616c885c0fc79685b803c9e76425391c505f82",
-      "bytes": 240171,
-      "rows": 15,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11b85cd8-2452-53c2-bfa5-2d9aa9121277",
     "numina:3bceb6fc-e4a8-5498-be94-1dfa390b5f7c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003397.lean\",\"cc3881fd6179cf5f919b5b0f55bdaa140b22159a612b1fbaf9d0bbe99116dfc7\",0,\"number_theory_637441\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003398.lean\",\"67907c3b1b259204654d0de16c333f8fbb3cfc426c9b0272f043627dc148d0df\",0,\"number_theory_637443\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003399.lean\",\"d86d0f741b12d7ef1b0e619aa348ee81181c7ab2ad79c33b03238f2bf6dbf5f5\",0,\"number_theory_637454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 638485,
+      "path": "data/train/p3c/numina-000679-0000-b594e877d24b9027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "b594e877d24b9027e10732b4e97e05acd448df884d0ac740f2c26b7d8ceda180"
+    },
+    {
+      "bytes": 240171,
+      "path": "data/internal_test/p3c/numina-000679-0000-edc3c8bbea9e82b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "edc3c8bbea9e82b757c4b3997d616c885c0fc79685b803c9e76425391c505f82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000680.json b/manifests/batches/numina/000680.json
index 63933e1ebcb6c14af516f6ec182fa145cf9abd39..6d1a928bff0fe3db89048cda6137541d3907983d 100644
--- a/manifests/batches/numina/000680.json
+++ b/manifests/batches/numina/000680.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000680",
   "batch_fingerprint": "38551bd8a690c7fbf1b3411936eaa0c6b0cee798357ece2a719780ece3da3f1b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000680-0000-706f6e05d35d10f2.parquet",
-      "sha256": "706f6e05d35d10f2247adb15ea811e9c2afe1258e75c09d66f02e18abf6b6c4a",
-      "bytes": 678865,
-      "rows": 49,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    },
-    {
-      "path": "data/train/numina-000680-0001-cefbc11c895724fe.parquet",
-      "sha256": "cefbc11c895724fee10b2c3ee10a562756d0b3c7ec2ba7709837cfa13ea39809",
-      "bytes": 528807,
-      "rows": 1,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02f8df0c-36e0-53b1-a470-2ceef9dbd3d3",
     "numina:266d1939-2590-5374-9045-5249bd4b9ac8",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003402.lean\",\"16282ae166ef0e76fff3efc75024a37fa4d96f6c19452ac7666d68e5eaccaa80\",0,\"isbn_fourth_digit_eq_zero\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003403.lean\",\"1597ce20a0f5f0be47284eb863f2a8ccd286275bf0c860e9e5a8069ddd592b34\",0,\"number_theory_637486\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003404.lean\",\"6cc4a52b0847bff4bbab2f649cef17e251ce4c5f0a349f9467109a3697904c8b\",0,\"smallest_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 678865,
+      "path": "data/train/pea/numina-000680-0000-706f6e05d35d10f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "706f6e05d35d10f2247adb15ea811e9c2afe1258e75c09d66f02e18abf6b6c4a"
+    },
+    {
+      "bytes": 528807,
+      "path": "data/train/pea/numina-000680-0001-cefbc11c895724fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cefbc11c895724fee10b2c3ee10a562756d0b3c7ec2ba7709837cfa13ea39809"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000681.json b/manifests/batches/numina/000681.json
index 2402c217077c6485fc5a947e79cd5155158e7a05..edfaf1386e77e6c5703090e478a5cfd706904f74 100644
--- a/manifests/batches/numina/000681.json
+++ b/manifests/batches/numina/000681.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000681",
   "batch_fingerprint": "4353abfa04e2b51fac470f3007fc1ecaeb39e2b89536ddc030b390db653cae0a",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000681-0000-50ef12e124453f9f.parquet",
-      "sha256": "50ef12e124453f9f7c034d39fd69993407c5abd0dc5bfa44a9373d935e01be17",
-      "bytes": 438520,
-      "rows": 57,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:59695d1c-e811-5f23-a19a-8083c5473a66",
     "numina:60755e64-2722-5bde-ba09-05b99ecf00b7",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003406.lean\",\"757cada18abe75b273b278eadcae694c708b3bbe7c29333735bf85a301c4c96c\",0,\"number_theory_637579\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003407.lean\",\"23cc4454273979e78119d81e7428a6a8295def83ae38e4b0bc8966a6db38ea65\",0,\"number_theory_637596\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003409.lean\",\"a576a44dcc6256081285c5f1c01ee4aaca571aa7f3f4c7dea39af2e4673a9696\",0,\"number_theory_637611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438520,
+      "path": "data/train/p79/numina-000681-0000-50ef12e124453f9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "50ef12e124453f9f7c034d39fd69993407c5abd0dc5bfa44a9373d935e01be17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000682.json b/manifests/batches/numina/000682.json
index 001be3f9f44b723c5387af24bd2c8d6b7bf7c722..8331d7b3aec3549d486e1b381106beaad27861f1 100644
--- a/manifests/batches/numina/000682.json
+++ b/manifests/batches/numina/000682.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000682",
   "batch_fingerprint": "9f9018ece3526c6e4a40d33b170ea3c9c69d84c4f9730b9aac9b62f32047895a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000682-0000-0166e179aedb9d5c.parquet",
-      "sha256": "0166e179aedb9d5ccc2b536d227f593486ac2ea31d3e91df6df89edce1d45cb7",
-      "bytes": 620553,
-      "rows": 97,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000682-0000-fbb36e96904789c4.parquet",
-      "sha256": "fbb36e96904789c48f724d1868fb6e63e70779332a3325c236140d25a17468c6",
-      "bytes": 181759,
-      "rows": 3,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0840f31f-d7c9-5cf5-9760-1d624333e23c",
     "numina:1fa7da2c-e485-5fb9-ad01-3af9054a102b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003412.lean\",\"5592971918ac8f6d80ccae3928b6504e05dfe571d42fbe9775049de17b9422d4\",0,\"number_theory_637653\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003413.lean\",\"45524756d510347760fa5fad1d1df485d0b0009b3b96dd26d3161e0f6fd6d925\",0,\"number_theory_637663\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003414.lean\",\"8caf6047483330c645226ca485dce2f611ca3e3c120053ad9145b61e9761e3d2\",0,\"number_theory_637665\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 620553,
+      "path": "data/train/pf0/numina-000682-0000-0166e179aedb9d5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "0166e179aedb9d5ccc2b536d227f593486ac2ea31d3e91df6df89edce1d45cb7"
+    },
+    {
+      "bytes": 181759,
+      "path": "data/internal_test/pf0/numina-000682-0000-fbb36e96904789c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fbb36e96904789c48f724d1868fb6e63e70779332a3325c236140d25a17468c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000683.json b/manifests/batches/numina/000683.json
index c768e816d0c13f6e657b09b0b9b94de5aedc71bb..980a937f40169aad2bbfd62d5f8b048e3998042c 100644
--- a/manifests/batches/numina/000683.json
+++ b/manifests/batches/numina/000683.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000683",
   "batch_fingerprint": "154a65fa5677cbaa9b4b5df2752af79eb65f8a3ac8006cc309743f44daf3edc4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000683-0000-f62a48ca3629f310.parquet",
-      "sha256": "f62a48ca3629f3101fbc6b8b3bbbb98f29fcbf6687060378de75e4ec3bc769b7",
-      "bytes": 218667,
-      "rows": 31,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e53b5b2-3c70-55c3-a954-02f21fb871ae",
     "numina:86d585d1-67f0-5404-8b9a-388e74eeb176",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003417.lean\",\"4fc33d7b669e65ddcaf972fe01ea774f4f0d20c5a839587fe3b10984473cff20\",0,\"number_theory_637674\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003418.lean\",\"7c70bd35446ede9f0c70850608587ef207da3b1136926f8ae36ca31266a51d7f\",0,\"number_theory_637681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003419.lean\",\"0de4d51889bf159b4da43be83a30aefee9dccf3e16be554b18d08758df92f8ef\",0,\"algebra_637746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218667,
+      "path": "data/train/p8d/numina-000683-0000-f62a48ca3629f310.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "f62a48ca3629f3101fbc6b8b3bbbb98f29fcbf6687060378de75e4ec3bc769b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000684.json b/manifests/batches/numina/000684.json
index 5f02fb72a19dfbba5aab3896b94c6d3d84731a72..32af476e0478cfae00b80a74646ca86f7ee61ad5 100644
--- a/manifests/batches/numina/000684.json
+++ b/manifests/batches/numina/000684.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000684",
   "batch_fingerprint": "4bd8dc99f169485c0864d59cc30cb69f9a8f8a87d32cbdd0af24fb8e53fde7cc",
   "evidence": {
@@ -19,55 +18,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:4613a8d7-84c7-5aa9-bd81-78a0df7bac3c",
+    "numina:4d884b6a-ceff-52f8-b32a-1158e8dfcb7e",
+    "numina:9edebb2e-d5f3-51d5-ac30-116d78ea3fa3",
+    "numina:b444ce33-026b-5db9-b219-30afdafd5a34",
+    "numina:fcc74ca2-1d07-5457-a1f4-fad28d856ba8"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003420.lean\",\"1cdaa53292e7a187006a862a018b309024b67bce329dada97afa9c3c8e3371a1\",0,\"number_theory_637775\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003421.lean\",\"ff875fddeb2d2ac7685e5f88a4bb09a4f1bb376c1243ac094c93d838bd32da01\",0,\"number_theory_637789\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003422.lean\",\"fb895c8a01c4e028cf39d0a5aa3554abbe57f8415e64a524661c920f00695bfa\",4,\"number_theory_637803\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003423.lean\",\"385b38ca5bdc7b82ed035272244517b60453791f4630ecdc4ee2c22c624f486d\",0,\"number_theory_637810\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003424.lean\",\"02705d39ab41f21cb6dabf386e91cf5c9af1256bbfad3464a78b2d9023c80c41\",0,\"number_theory_637811\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000684-0000-a2ff5ac5abd18671.parquet",
-      "sha256": "a2ff5ac5abd18671871bfab0dce6b4f7b12ae0c11db8791175d7ef827de09d11",
       "bytes": 401495,
+      "path": "data/train/p7d/numina-000684-0000-a2ff5ac5abd18671.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
+      "sha256": "a2ff5ac5abd18671871bfab0dce6b4f7b12ae0c11db8791175d7ef827de09d11"
     },
     {
-      "path": "data/train/numina-000684-0001-a44abbca69b8c1f2.parquet",
-      "sha256": "a44abbca69b8c1f22277946c543a3a3566d071fac10d3a6ae3b5a7f90821b952",
       "bytes": 853086,
+      "path": "data/train/p7d/numina-000684-0001-a44abbca69b8c1f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
+      "sha256": "a44abbca69b8c1f22277946c543a3a3566d071fac10d3a6ae3b5a7f90821b952"
     },
     {
-      "path": "data/train/numina-000684-0002-e62888ff217b9d28.parquet",
-      "sha256": "e62888ff217b9d284fe8c6da49e58a68d15d322ee23037285a16a8410ee6bb76",
       "bytes": 422257,
+      "path": "data/train/p7d/numina-000684-0002-e62888ff217b9d28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 39,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
+      "sha256": "e62888ff217b9d284fe8c6da49e58a68d15d322ee23037285a16a8410ee6bb76"
     },
     {
-      "path": "data/dev/numina-000684-0000-e5e8a1f4348a42e4.parquet",
-      "sha256": "e5e8a1f4348a42e4cf42c6d115e894acd33fff79dc8720ae91bcc62709b0f6d0",
       "bytes": 62722,
+      "path": "data/dev/p7d/numina-000684-0000-e5e8a1f4348a42e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
+      "sha256": "e5e8a1f4348a42e4cf42c6d115e894acd33fff79dc8720ae91bcc62709b0f6d0"
     },
     {
-      "path": "data/internal_test/numina-000684-0000-33113e500f50c5e2.parquet",
-      "sha256": "33113e500f50c5e2a25a08b4f1bb12ef70e2d51af8ea1d36b4050bf25e0e5ec1",
       "bytes": 90714,
+      "path": "data/internal_test/p7d/numina-000684-0000-33113e500f50c5e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
+      "sha256": "33113e500f50c5e2a25a08b4f1bb12ef70e2d51af8ea1d36b4050bf25e0e5ec1"
     }
-  ],
-  "proof_ids": [
-    "numina:4613a8d7-84c7-5aa9-bd81-78a0df7bac3c",
-    "numina:4d884b6a-ceff-52f8-b32a-1158e8dfcb7e",
-    "numina:9edebb2e-d5f3-51d5-ac30-116d78ea3fa3",
-    "numina:b444ce33-026b-5db9-b219-30afdafd5a34",
-    "numina:fcc74ca2-1d07-5457-a1f4-fad28d856ba8"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003420.lean\",\"1cdaa53292e7a187006a862a018b309024b67bce329dada97afa9c3c8e3371a1\",0,\"number_theory_637775\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003421.lean\",\"ff875fddeb2d2ac7685e5f88a4bb09a4f1bb376c1243ac094c93d838bd32da01\",0,\"number_theory_637789\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003422.lean\",\"fb895c8a01c4e028cf39d0a5aa3554abbe57f8415e64a524661c920f00695bfa\",4,\"number_theory_637803\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003423.lean\",\"385b38ca5bdc7b82ed035272244517b60453791f4630ecdc4ee2c22c624f486d\",0,\"number_theory_637810\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003424.lean\",\"02705d39ab41f21cb6dabf386e91cf5c9af1256bbfad3464a78b2d9023c80c41\",0,\"number_theory_637811\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000685.json b/manifests/batches/numina/000685.json
index 5b95930a3aac17d5216ed0fcc045796e95efa4e4..f5a5e49c9b7b9dedd8ee114e1f8fc89d3da7f622 100644
--- a/manifests/batches/numina/000685.json
+++ b/manifests/batches/numina/000685.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000685",
   "batch_fingerprint": "06f8e979af56b9a0216f61f0d4190dd042d1b8647b9dc2a5ea38b128683180cf",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000685-0000-101a77bae1b90b4c.parquet",
-      "sha256": "101a77bae1b90b4c2c53e073847b992a4ec929b8f0212fbab5e8642e263d3f76",
-      "bytes": 81865,
-      "rows": 8,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/dev/numina-000685-0000-ec9d0f3b34634e16.parquet",
-      "sha256": "ec9d0f3b34634e16ea43119a60d8748ce2ab5d0232cc7924db7b484377dfb9f2",
-      "bytes": 82040,
-      "rows": 4,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    },
-    {
-      "path": "data/internal_test/numina-000685-0000-4e67c8df7d88ca40.parquet",
-      "sha256": "4e67c8df7d88ca40eeb77d1c84bfc214d90b0d6c4f9a0ee1d681f3d54d94e234",
-      "bytes": 22972,
-      "rows": 1,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a3f8f56-162b-5064-ade6-922dc84e717f",
     "numina:511a169e-70fc-5591-bb86-42c34160b977",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003427.lean\",\"f8c5cc83047378b5712e58e5c445c4d7060adcb7a4d1ff9edc2328a5bedfead2\",0,\"number_theory_637832\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003428.lean\",\"ac631771824abeabffc7eb6521635558f372896bf194ca0b35beb02662683f12\",0,\"number_theory_637841\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003429.lean\",\"d4a0f6ac485fb427e3670d41a434a47a54ec113ce46842c2f7fef1fe9e18b732\",0,\"algebra_637843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81865,
+      "path": "data/train/pe2/numina-000685-0000-101a77bae1b90b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "101a77bae1b90b4c2c53e073847b992a4ec929b8f0212fbab5e8642e263d3f76"
+    },
+    {
+      "bytes": 82040,
+      "path": "data/dev/pe2/numina-000685-0000-ec9d0f3b34634e16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ec9d0f3b34634e16ea43119a60d8748ce2ab5d0232cc7924db7b484377dfb9f2"
+    },
+    {
+      "bytes": 22972,
+      "path": "data/internal_test/pe2/numina-000685-0000-4e67c8df7d88ca40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e67c8df7d88ca40eeb77d1c84bfc214d90b0d6c4f9a0ee1d681f3d54d94e234"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000686.json b/manifests/batches/numina/000686.json
index aab80f75e91187542f923bf1121b1f427e40c384..7b7497207c444a9581b1bd13abd0abb0cf2be9bf 100644
--- a/manifests/batches/numina/000686.json
+++ b/manifests/batches/numina/000686.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000686",
   "batch_fingerprint": "cd214e42b55dc4f1330b5cb95b4a176b17cb067621ecce176682b5417541c2bb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000686-0000-3c3264c356b373e6.parquet",
-      "sha256": "3c3264c356b373e646a514738aa632b15d2e2262b35bc1766c2827acbd8eeb78",
-      "bytes": 405269,
-      "rows": 10,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/internal_test/numina-000686-0000-0b2af471cc679c51.parquet",
-      "sha256": "0b2af471cc679c51d5113dc16ec84b0edd9db9f6bd6ca478766abc1edc3f612c",
-      "bytes": 118224,
-      "rows": 7,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0906341c-093a-5a84-8eee-8c03f7cd20e2",
     "numina:2e660134-8bb8-526b-a989-a91e31deab43",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003432.lean\",\"9a22eb38917974ef77427265948e0425d916a72dd67e58cc7a9cdaf57ffa8bd0\",0,\"number_theory_637939\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003433.lean\",\"372758efc4c69277f98823259960b3a5a772d802f455d23597929bc79c78efb3\",0,\"number_theory_637942\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003434.lean\",\"268e548b85e173556103dab120ba135b0822b7cddc0c9ad818fa99e36e73abf6\",1,\"number_theory_637950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 405269,
+      "path": "data/train/p19/numina-000686-0000-3c3264c356b373e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3c3264c356b373e646a514738aa632b15d2e2262b35bc1766c2827acbd8eeb78"
+    },
+    {
+      "bytes": 118224,
+      "path": "data/internal_test/p19/numina-000686-0000-0b2af471cc679c51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0b2af471cc679c51d5113dc16ec84b0edd9db9f6bd6ca478766abc1edc3f612c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000687.json b/manifests/batches/numina/000687.json
index e391d76286d7cd28616024fa510a447283932bdf..10bf7972c65dfb6703ccebe222ec67f42ea3aaad 100644
--- a/manifests/batches/numina/000687.json
+++ b/manifests/batches/numina/000687.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000687",
   "batch_fingerprint": "861fc09678e6dcb2fbd8f724205d395b311031bc8923abc0eb8089248f15417e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000687-0000-39e1308e2ca137e1.parquet",
-      "sha256": "39e1308e2ca137e18fee2afac4bdf56d3b4c8ffe9132109882d4ce4b1344a17e",
-      "bytes": 345330,
-      "rows": 37,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/dev/numina-000687-0000-ff5f76a556bc0c63.parquet",
-      "sha256": "ff5f76a556bc0c63d44c760af7cdd7796c62f4fd8139472d4b8d92248a9d4906",
-      "bytes": 491961,
-      "rows": 10,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44b8bd56-79aa-5d38-a44f-f86c516363d1",
     "numina:95da8473-75c6-5b92-9656-8788f5a40c16",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003437.lean\",\"221dc341a66ff61165d56d9c9c3706934e28c6ba675e2c05321d366c64d7c77c\",9,\"number_theory_638031\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003438.lean\",\"62bc5f2395fa52eb4e4bf90781e2216a5735540cd751d242f2bf5e922db28a5f\",2,\"number_theory_638038\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003439.lean\",\"b258bc93f7dfc801ea1759574de43a269a1537b295c530fd8b63412c0a6346a9\",0,\"number_theory_638044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345330,
+      "path": "data/train/pde/numina-000687-0000-39e1308e2ca137e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "39e1308e2ca137e18fee2afac4bdf56d3b4c8ffe9132109882d4ce4b1344a17e"
+    },
+    {
+      "bytes": 491961,
+      "path": "data/dev/pde/numina-000687-0000-ff5f76a556bc0c63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ff5f76a556bc0c63d44c760af7cdd7796c62f4fd8139472d4b8d92248a9d4906"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000688.json b/manifests/batches/numina/000688.json
index 43b8eeb26d0ab37fada8d8583d24d8f86db79eb6..6d16672659b458bd1407e18d8d4f753794d15d43 100644
--- a/manifests/batches/numina/000688.json
+++ b/manifests/batches/numina/000688.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000688",
   "batch_fingerprint": "3399f50604ce4ea85ba4917375ca83658caa0007a721c58459d02b25fe9aa3b2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000688-0000-70dcf20086a9ea55.parquet",
-      "sha256": "70dcf20086a9ea5537e2119b0d7c677aaf50fa1fd32f1afc376046db623a6a14",
-      "bytes": 284868,
-      "rows": 43,
-      "revision": "0d311c62d1d795c63dd33cd95d5ccbdf6af8aac3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1110e36c-823b-5914-8723-f46b2b3549e8",
     "numina:1fc54603-0064-5c57-96a3-ef3a228ec880",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003442.lean\",\"a10a79b26d5560d92c2eecd05ff056285092c1b47a763cd745f3b3a0812869fa\",0,\"number_theory_638059\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003443.lean\",\"2d8e90e4606a2644a036426a9285edc79e88975f12189460a6115fbcc912885a\",0,\"number_theory_638065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003444.lean\",\"aee50886da696048d238733f76efe356bde3a31b2d35f7b2b760f6217c404aa8\",0,\"odd_fraction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284868,
+      "path": "data/train/pb5/numina-000688-0000-70dcf20086a9ea55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "70dcf20086a9ea5537e2119b0d7c677aaf50fa1fd32f1afc376046db623a6a14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000689.json b/manifests/batches/numina/000689.json
index fe8be14a8e8eb9398104152d7bbc06e8ef8177d2..7e9bacea8440445b37a4daa8f394fd7fe4b00abd 100644
--- a/manifests/batches/numina/000689.json
+++ b/manifests/batches/numina/000689.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000689",
   "batch_fingerprint": "13d35cec72dc7acfa7083456f5567d29d2cb0c190c07fa3cac263032d381aab4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000689-0000-4b62d19940f7558b.parquet",
-      "sha256": "4b62d19940f7558bae1c9b31220022e8019d5bbfe39d6151a6a9a4f9aec30e3a",
-      "bytes": 629252,
-      "rows": 35,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/train/numina-000689-0001-f4b3e58477b4144d.parquet",
-      "sha256": "f4b3e58477b4144d2c06202e7d56a1295751f247c74269404b02d98243e6283c",
-      "bytes": 163447,
-      "rows": 5,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14992757-24df-5ecf-b2f5-e7cebeb4fa6f",
     "numina:195c9d80-687c-5e0e-9537-dced4e06248b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003447.lean\",\"399a81ac5b85c2140fc6099136bde5cb8641f1857f65f9269183c109dfa1dee4\",0,\"number_theory_638117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003448.lean\",\"168c0a88a1170345407fbd88e2d65a4a6619c9f28169e2688592dc143701079e\",0,\"number_theory_638133\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003449.lean\",\"29958f2fb0eccdc5a7d1953c033aee05df9ec8eecab61a013ef8d0d6f5e023cb\",0,\"units_digit_of_sum_is_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 629252,
+      "path": "data/train/p3f/numina-000689-0000-4b62d19940f7558b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "4b62d19940f7558bae1c9b31220022e8019d5bbfe39d6151a6a9a4f9aec30e3a"
+    },
+    {
+      "bytes": 163447,
+      "path": "data/train/p3f/numina-000689-0001-f4b3e58477b4144d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f4b3e58477b4144d2c06202e7d56a1295751f247c74269404b02d98243e6283c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000690.json b/manifests/batches/numina/000690.json
index 6b506ebe460f05f3e59fae4c1018dd7b14a27fa4..5dcc1be59f9973a32a1c88777435a15389fb90df 100644
--- a/manifests/batches/numina/000690.json
+++ b/manifests/batches/numina/000690.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000690",
   "batch_fingerprint": "7002f33b349738366d64ea33e33e13a23b76d973be08ea908940d11d457f7b9e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000690-0000-8c2d24b27e40ee37.parquet",
-      "sha256": "8c2d24b27e40ee37cbf76e2f9f1216030513d1ed52e823789393b2842e5b2a80",
-      "bytes": 272307,
-      "rows": 35,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/internal_test/numina-000690-0000-0d59669885cde1bb.parquet",
-      "sha256": "0d59669885cde1bb8acf9b37d0f3288b33f4ec59c7c2d1ad5a37b555b19bca03",
-      "bytes": 81335,
-      "rows": 15,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03c06722-42e6-5893-9749-38ff4bcd1af5",
     "numina:3889fd68-5588-5fa6-b094-f45edf93e850",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003452.lean\",\"1e44a8f70c7cc362551400d11e5803782f0cd6bfd232bd5abeeba7d022b46393\",0,\"number_theory_638238\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003453.lean\",\"8cbd29c164e3aa7cf49112b6fc04d54f75cedc927f0776269126b554939cb55a\",0,\"number_theory_638292\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003454.lean\",\"9c39786b3af7c6a1ac98fe518af7c249dfd25d4b3c902dd7589f6548e61d9e1b\",0,\"number_theory_638307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272307,
+      "path": "data/train/pc6/numina-000690-0000-8c2d24b27e40ee37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "8c2d24b27e40ee37cbf76e2f9f1216030513d1ed52e823789393b2842e5b2a80"
+    },
+    {
+      "bytes": 81335,
+      "path": "data/internal_test/pc6/numina-000690-0000-0d59669885cde1bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0d59669885cde1bb8acf9b37d0f3288b33f4ec59c7c2d1ad5a37b555b19bca03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000691.json b/manifests/batches/numina/000691.json
index 86c3a5d16814d8b257d9c0408e01a42dd970630b..823e7e9600d30f6fe9a2d5e7c60b44b56bbc80d2 100644
--- a/manifests/batches/numina/000691.json
+++ b/manifests/batches/numina/000691.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000691",
   "batch_fingerprint": "68ab2fc8c1e28662a0bf20e6581a4403cff0a884710d003871730433cb0dbb8d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000691-0000-ee125c5dd552649a.parquet",
-      "sha256": "ee125c5dd552649ab62ace71d81c08355475041083a1d346d96bc2e964136477",
-      "bytes": 296141,
-      "rows": 49,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/internal_test/numina-000691-0000-b9f9fbef9a156804.parquet",
-      "sha256": "b9f9fbef9a15680490ba64d90f353d78ee3ffa94052d78b75c44126f89283779",
-      "bytes": 95394,
-      "rows": 6,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4247a8c9-75b3-5fe8-ae64-26f516f59602",
     "numina:502a4e01-d783-5891-bff7-3cd2e63a25c5",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003457.lean\",\"859eeaf20d7105fd55f48757a48fb3a05449a0588e90bd554cc6bd643693f565\",1,\"number_theory_638351\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003458.lean\",\"183d5ddf40d11f9f15a9ba142ce345671ad8003a27c37fca2231d47a29ad9219\",0,\"number_theory_638356\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003459.lean\",\"1bfa4b6a1ca67383c049f5754ca09d156f2dfe39107300e43e64ae1ba9afa647\",2,\"number_theory_638360\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296141,
+      "path": "data/train/p43/numina-000691-0000-ee125c5dd552649a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "ee125c5dd552649ab62ace71d81c08355475041083a1d346d96bc2e964136477"
+    },
+    {
+      "bytes": 95394,
+      "path": "data/internal_test/p43/numina-000691-0000-b9f9fbef9a156804.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b9f9fbef9a15680490ba64d90f353d78ee3ffa94052d78b75c44126f89283779"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000692.json b/manifests/batches/numina/000692.json
index 7703e2beff09da8568419188847d8999cd89a9e0..f04c8c5657bc39e0206eff251ca1f344d4afd9d3 100644
--- a/manifests/batches/numina/000692.json
+++ b/manifests/batches/numina/000692.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000692",
   "batch_fingerprint": "5817b762add2c3d1bf9796483878aa4076ff15c6992db1f64afce70254618ef8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000692-0000-5078c22061c37c1c.parquet",
-      "sha256": "5078c22061c37c1c3689658f6df055bf44298e4a7163d2db5ce85269d67ed757",
-      "bytes": 263279,
-      "rows": 18,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    },
-    {
-      "path": "data/internal_test/numina-000692-0000-f6ea3ff3d0509826.parquet",
-      "sha256": "f6ea3ff3d0509826ab923ed9c20cfb549d38bb04bf3260dfd3f1963313a0b5a3",
-      "bytes": 32697,
-      "rows": 2,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0431f4ee-cbc3-5015-a373-0714fc3673a5",
     "numina:42e3310f-20f6-5586-b7fd-d59b5f195e95",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003462.lean\",\"314dc22550f4ae8a273ac3fad4af3b1e6f42e21451d6f9c8723f5d6ab84fd45e\",0,\"number_theory_638427\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003463.lean\",\"eee8122953b8b481508859d8de13865b8a8532604866cd41c5ac93526bff0cd6\",0,\"number_theory_638433\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003464.lean\",\"0fdbddbd5782e72e18957b64ccb940cd15d0c2c7b5c141e538fe207e40432ec0\",0,\"number_theory_638440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263279,
+      "path": "data/train/pe1/numina-000692-0000-5078c22061c37c1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5078c22061c37c1c3689658f6df055bf44298e4a7163d2db5ce85269d67ed757"
+    },
+    {
+      "bytes": 32697,
+      "path": "data/internal_test/pe1/numina-000692-0000-f6ea3ff3d0509826.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f6ea3ff3d0509826ab923ed9c20cfb549d38bb04bf3260dfd3f1963313a0b5a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000693.json b/manifests/batches/numina/000693.json
index 480d96eeafa455002cafadd49fa4791cd6c32c99..a42b091c4732dca9ce69d03a9c8a31e331622dbd 100644
--- a/manifests/batches/numina/000693.json
+++ b/manifests/batches/numina/000693.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000693",
   "batch_fingerprint": "08a1a3bff95d9924601109160fb8d74bcb2813b851513b3b079c6ff1dee8724c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000693-0000-3667d8490154cf2c.parquet",
-      "sha256": "3667d8490154cf2c49f49c71101c577bcd65c0dd0b7e7d36e8eeda0762e5a4ae",
-      "bytes": 265113,
-      "rows": 64,
-      "revision": "b5cba6196398816d5decb62ea77e652a9471f395"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d3aea9f-7e40-5194-a91d-1ceb138d668a",
     "numina:3e39f307-5d08-55d6-b373-e0162cc90b72",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003467.lean\",\"f5a223fd5aa1b1cd92804422e6d16f7c140fbe896c9d65d624476eb0badd9c40\",0,\"number_theory_638449\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003468.lean\",\"0567befddac3dfb3a1125d8513c0655b0c0abe197618a5b549201299561b01d6\",2,\"number_theory_638457\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003469.lean\",\"eb1a281f02896faf8e7664a61167112c6d9a8e81ce80d4ff696ee50e8d818a14\",0,\"number_theory_638461\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265113,
+      "path": "data/train/p88/numina-000693-0000-3667d8490154cf2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "3667d8490154cf2c49f49c71101c577bcd65c0dd0b7e7d36e8eeda0762e5a4ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000694.json b/manifests/batches/numina/000694.json
index 4052e89fb7cc6caa4ef5c8cc82f5306fca11e4f7..f913b4d6cea23c9885dd37a3f484642f7eac2f5e 100644
--- a/manifests/batches/numina/000694.json
+++ b/manifests/batches/numina/000694.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000694",
   "batch_fingerprint": "07983990c87a6a440fb00457ab4aed2eb48875483222223abc931a2664015b91",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000694-0000-8b7ef2d8f237751b.parquet",
-      "sha256": "8b7ef2d8f237751b356819f05c54cbe0d8c062748b253e3a4d872bc7d49cb109",
-      "bytes": 135275,
-      "rows": 20,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/internal_test/numina-000694-0000-a3a7d3f3f2051627.parquet",
-      "sha256": "a3a7d3f3f20516272376bf5f847aaee04c6a80be7051b44e2c79767528227a46",
-      "bytes": 576245,
-      "rows": 36,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39b9fe4f-b1f2-538d-a845-3c7885ef2300",
     "numina:aa8c5766-7bce-5aaa-a571-4f33f1dc3173",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003472.lean\",\"e425a1274bc4a66fe100e813ca030915efb505d5b6acd279653055350d7a32e5\",1,\"number_theory_638482\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003473.lean\",\"bb8278160149763184780b1ad027ef3b35541fd43dc6b6132e61a8b52a75025a\",0,\"number_theory_638487\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003474.lean\",\"363b5cee7768104b1dda1d79da42f41fbb0f4c364b2930d94153cbc5b5de92e8\",0,\"number_theory_638495\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135275,
+      "path": "data/train/p77/numina-000694-0000-8b7ef2d8f237751b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8b7ef2d8f237751b356819f05c54cbe0d8c062748b253e3a4d872bc7d49cb109"
+    },
+    {
+      "bytes": 576245,
+      "path": "data/internal_test/p77/numina-000694-0000-a3a7d3f3f2051627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "a3a7d3f3f20516272376bf5f847aaee04c6a80be7051b44e2c79767528227a46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000695.json b/manifests/batches/numina/000695.json
index d8ed36e5358eae219ae2bbb33399d7cad2bdb3ed..843032582c262593aa47408ae73397460858252f 100644
--- a/manifests/batches/numina/000695.json
+++ b/manifests/batches/numina/000695.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000695",
   "batch_fingerprint": "ecfcfd4a8625f327a9b37cf97a8fb3a9a2fc928f4db6e6692d1cce058b0aaa5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000695-0000-004535b8c31f0b5c.parquet",
-      "sha256": "004535b8c31f0b5c5fd1a62403df90269354b3a22794739ddf29a020c758093d",
-      "bytes": 739565,
-      "rows": 84,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/train/numina-000695-0001-6007d79096a02305.parquet",
-      "sha256": "6007d79096a0230504d5d4b9b60880ff7545c600881656a28dfb8ad763e6c757",
-      "bytes": 96421,
-      "rows": 5,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ab52131-3b4f-5699-b638-eb979fa60dc0",
     "numina:87be50d3-8c95-594f-b394-8fd02d965927",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003477.lean\",\"315730c3815817e367f9fe8f44077ca7dcadaacf436f98c6a666c2d71a168c19\",0,\"number_theory_638559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003478.lean\",\"94d93cc6e766553c17dd27b9df16f0548d4c3f99a6b2637cd8c3376391483a22\",0,\"number_theory_638582\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003479.lean\",\"1fc44ae3019e5b511ad26af4dacf69a3be151388b537c983370c0ebf44166b84\",0,\"number_theory_2000\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 739565,
+      "path": "data/train/p29/numina-000695-0000-004535b8c31f0b5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 84,
+      "sha256": "004535b8c31f0b5c5fd1a62403df90269354b3a22794739ddf29a020c758093d"
+    },
+    {
+      "bytes": 96421,
+      "path": "data/train/p29/numina-000695-0001-6007d79096a02305.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6007d79096a0230504d5d4b9b60880ff7545c600881656a28dfb8ad763e6c757"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000696.json b/manifests/batches/numina/000696.json
index 9484746918b84aa713ca200c71c3502e51672288..c594c3a5c72abe64f2730d35c9c3492f532975df 100644
--- a/manifests/batches/numina/000696.json
+++ b/manifests/batches/numina/000696.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000696",
   "batch_fingerprint": "6e8962264ddfa1be5ea604ddeb7ffd4aad973f83da154e3bdafc28a8565c07ff",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000696-0000-009c4e4451833dae.parquet",
-      "sha256": "009c4e4451833daebfdebb4e9b961a7b043ea1f26c4fde03965fa1bfba0c449d",
-      "bytes": 647983,
-      "rows": 37,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    },
-    {
-      "path": "data/train/numina-000696-0001-057c4241b1cfd1bb.parquet",
-      "sha256": "057c4241b1cfd1bb35e65e949a30d45e4e61a8458f643ae2021cabe063deb888",
-      "bytes": 592712,
-      "rows": 41,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    },
-    {
-      "path": "data/dev/numina-000696-0000-c684ec149be70f35.parquet",
-      "sha256": "c684ec149be70f35b30221c273d420233b3ecc999b0ebf2f5c3f1056579a52b9",
-      "bytes": 167107,
-      "rows": 18,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6f9ba38f-a5cb-57c1-a636-5b532700d004",
     "numina:b57dd566-138e-5682-84de-b9781fa82b0f",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003482.lean\",\"62403949f6ddaffb87c10551c9edc2c814ca70ecc6526d57d24f0b98a3012e4d\",1,\"number_theory_638623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003483.lean\",\"a01b60ba2f039cbeac3e75ee6794b3aad6177d20bfa9a417bfd8ed3c16e9b93f\",0,\"algebra_638646\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003484.lean\",\"df8009c183487f927102977bd08157c7900de095c855ec740d5d5a42b365c18b\",5,\"my_favorite_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 647983,
+      "path": "data/train/p62/numina-000696-0000-009c4e4451833dae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "009c4e4451833daebfdebb4e9b961a7b043ea1f26c4fde03965fa1bfba0c449d"
+    },
+    {
+      "bytes": 592712,
+      "path": "data/train/p62/numina-000696-0001-057c4241b1cfd1bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "057c4241b1cfd1bb35e65e949a30d45e4e61a8458f643ae2021cabe063deb888"
+    },
+    {
+      "bytes": 167107,
+      "path": "data/dev/p62/numina-000696-0000-c684ec149be70f35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c684ec149be70f35b30221c273d420233b3ecc999b0ebf2f5c3f1056579a52b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000697.json b/manifests/batches/numina/000697.json
index 4ee13a948a0ea097044485737fd69aee5f962e87..e601d8c74cab4ffa67cca3e33b240a886d717780 100644
--- a/manifests/batches/numina/000697.json
+++ b/manifests/batches/numina/000697.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000697",
   "batch_fingerprint": "9434db13b6ac09cc806d51d94b69afcd2201c54e02b66e963de7fd02db4ca00e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000697-0000-5e10b45c981a5d4d.parquet",
-      "sha256": "5e10b45c981a5d4dba81ba97ab40a2e45acf9dfbf460c4aaec19842f030ebb30",
-      "bytes": 663094,
-      "rows": 55,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/train/numina-000697-0001-6d738eefc679c4bf.parquet",
-      "sha256": "6d738eefc679c4bfde72c19b184df4734d2e85fcbcbc38f1c0115792e2d27eed",
-      "bytes": 403626,
-      "rows": 17,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d4318fd-eab5-5758-a41a-8a4edd4003d4",
     "numina:335d0d64-4b0a-5e8c-8cca-0a153a113826",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003487.lean\",\"cc87858a3fc229248f55f8df345a8b1c8a4f70dc5dc6f8c5411c31d16e89f7b1\",0,\"divides_all_N\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003488.lean\",\"fed5efa664b8b6d43cc7f76c018c949b2e80a92da215dcf19844e6f4a482b4f7\",7,\"number_theory_638697\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003489.lean\",\"0d466eda6812d160163d3104144a7bd190931a15c112c1e5e2eda6cff4882eb8\",3,\"number_theory_638700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 663094,
+      "path": "data/train/p46/numina-000697-0000-5e10b45c981a5d4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "5e10b45c981a5d4dba81ba97ab40a2e45acf9dfbf460c4aaec19842f030ebb30"
+    },
+    {
+      "bytes": 403626,
+      "path": "data/train/p46/numina-000697-0001-6d738eefc679c4bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6d738eefc679c4bfde72c19b184df4734d2e85fcbcbc38f1c0115792e2d27eed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000698.json b/manifests/batches/numina/000698.json
index 3f9d5cb07f527b8d33076d2cc52f54cb65bedf96..963460d34d038757500695018419dd227758ac6f 100644
--- a/manifests/batches/numina/000698.json
+++ b/manifests/batches/numina/000698.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000698",
   "batch_fingerprint": "85b35db63920fe39a1b933cf7fec817098df47255a21f31d186e9eba092347c9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000698-0000-08ceef8b9ffc433f.parquet",
-      "sha256": "08ceef8b9ffc433fc80a0835a5e0ce8bc32b7e8328faf7446dd1da33de8a3760",
-      "bytes": 269495,
-      "rows": 11,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/dev/numina-000698-0000-a42eadc5f3a69b84.parquet",
-      "sha256": "a42eadc5f3a69b8496452fb413225c67208bfdf9e21c8abc9a2fb1f011876d72",
-      "bytes": 46279,
-      "rows": 3,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/internal_test/numina-000698-0000-951b1415162511aa.parquet",
-      "sha256": "951b1415162511aad0a690b724d7656423fe8895ce47dcc2b29fe38f93e2f65c",
-      "bytes": 63521,
-      "rows": 10,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02a75cd7-a795-5a59-9497-c3b62f9e4ce9",
     "numina:477146d2-a193-58b3-b95e-fac4173e8574",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003492.lean\",\"74f66f684f9acdb381baecfc4af82ca70988143199e43f5ea6bdd2acb2e405d9\",0,\"number_theory_638842\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003493.lean\",\"46c878e001eb3481b830a6119a3a9b3f18b5f33280b5f017823b0108ee3bb9b8\",0,\"Number_Theory_638849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003494.lean\",\"003669ae052fdefbb620ecb09b018c3a7b613971b4682d311db16a1009fa05d1\",0,\"number_theory_638898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269495,
+      "path": "data/train/pdc/numina-000698-0000-08ceef8b9ffc433f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "08ceef8b9ffc433fc80a0835a5e0ce8bc32b7e8328faf7446dd1da33de8a3760"
+    },
+    {
+      "bytes": 46279,
+      "path": "data/dev/pdc/numina-000698-0000-a42eadc5f3a69b84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a42eadc5f3a69b8496452fb413225c67208bfdf9e21c8abc9a2fb1f011876d72"
+    },
+    {
+      "bytes": 63521,
+      "path": "data/internal_test/pdc/numina-000698-0000-951b1415162511aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "951b1415162511aad0a690b724d7656423fe8895ce47dcc2b29fe38f93e2f65c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000699.json b/manifests/batches/numina/000699.json
index 9894efd8b1046f69f6b166a7ad237f510327fdaa..15dcda7ab2b8e393af36bd1a1e6a67e74c021d7c 100644
--- a/manifests/batches/numina/000699.json
+++ b/manifests/batches/numina/000699.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000699",
   "batch_fingerprint": "e06e68c9fd38762ec8ac7aa5d59384b978e5829d1be297365a4b3312dbc7d068",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000699-0000-4fdb84ced1e5b5c2.parquet",
-      "sha256": "4fdb84ced1e5b5c289efe844382e19b60f50e655c4601c0a18743c1fb5d70ba8",
-      "bytes": 649752,
-      "rows": 51,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1fbd198c-9e47-5c96-a718-db98d68be932",
     "numina:4ca7207a-58df-52a2-8572-e0711b464598",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003497.lean\",\"41f65706b6c3ec24645cefb2431753cbed49089143a64556a4dc2f51c85a5b6e\",0,\"number_theory_638963\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003498.lean\",\"e266ba15b3adaa8e3639a900d040e2ad8c3bca41175011a477b46212084a18f5\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003499.lean\",\"8065175a7263b61b65752ec1d315b2b35d019c5cc1dbfd5fb0b75f212adfdf28\",1,\"number_theory_638980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649752,
+      "path": "data/train/p9e/numina-000699-0000-4fdb84ced1e5b5c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "4fdb84ced1e5b5c289efe844382e19b60f50e655c4601c0a18743c1fb5d70ba8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000700.json b/manifests/batches/numina/000700.json
index 0da3837f7b643bfc8710e9a06151156bf4dbcafe..6bbc40bc1c572ab2e4efbda69e27cc1e6b69a88c 100644
--- a/manifests/batches/numina/000700.json
+++ b/manifests/batches/numina/000700.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000700",
   "batch_fingerprint": "2943cf599ddaa6e7498ceb3f497bdb72c47b0c1e0894bad1dff5bf89e0ad0ab2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000700-0000-257123891024b7ff.parquet",
-      "sha256": "257123891024b7ffd313784ee46e70653986eb10a01ff3d12fe73cd275dd75b6",
-      "bytes": 614938,
-      "rows": 33,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02967431-e54f-5317-91ab-23e489a3356f",
     "numina:5cc623f7-6e40-5249-881a-d4fad84fa5df",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003502.lean\",\"c2eb20f27f6826e547a035aab73f569391117406099f7e36b615b8fad53815b9\",0,\"Number_Theory_638987\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003503.lean\",\"2ee0fed3670d3a712db95ba1f131248771f78eb9d118a9d19af0aff4629481d6\",0,\"number_theory_638990\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003504.lean\",\"dcf46c949f33a901620409b0dd2a10fec725ebe6528ba6090a865a9ddb8cc1a9\",0,\"number_theory_638998\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 614938,
+      "path": "data/train/p2f/numina-000700-0000-257123891024b7ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "257123891024b7ffd313784ee46e70653986eb10a01ff3d12fe73cd275dd75b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000701.json b/manifests/batches/numina/000701.json
index bc5928f76d5bc7e4aabd3386e2e209b84a38de98..580ca49f6f0b8ac3cea2f6c2c92e7d93777f395f 100644
--- a/manifests/batches/numina/000701.json
+++ b/manifests/batches/numina/000701.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000701",
   "batch_fingerprint": "b3e5ed9d8eae5f073a709b2ae139c4b16751d14d113acf7c8908cfbda95205eb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000701-0000-9e3b58e9976e36d0.parquet",
-      "sha256": "9e3b58e9976e36d010c4eb4557fcdbe94a093d910fc81e904b61887055d171bc",
-      "bytes": 266969,
-      "rows": 40,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10353aad-2d74-5d7d-b80b-14fd7f512366",
     "numina:3f22338c-56b1-55ee-8e6e-4c345cd9c378",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003507.lean\",\"0e2f5631d1331f7c3c924f57af4a6ff6ded7ce79f5b34faacae51f31ae8d7c5f\",0,\"number_theory_639037\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003508.lean\",\"56d171732b6fbf399f65006e77f11956434fb153d43dd5e9fbe5ae9aad04e810\",0,\"number_theory_639044\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003509.lean\",\"c55036d2f0136b071d5ac8ef02823a3e35746fb209f960c88621c5bd5d90d35f\",0,\"algebra_639058\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266969,
+      "path": "data/train/p66/numina-000701-0000-9e3b58e9976e36d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9e3b58e9976e36d010c4eb4557fcdbe94a093d910fc81e904b61887055d171bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000702.json b/manifests/batches/numina/000702.json
index 959206c9f86bd42521e1ed355af98dfd68d5f540..fdfc15774f1b97783ff44f207fb4ae4bb47ebaa9 100644
--- a/manifests/batches/numina/000702.json
+++ b/manifests/batches/numina/000702.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000702",
   "batch_fingerprint": "07ba81de4c1216733bc68e9865bc9d24662f9b190badaee78c33725278f7cbee",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000702-0000-241d0701f8ef3205.parquet",
-      "sha256": "241d0701f8ef32052a4849f18429393327bc5c218350f0d9f3576808fe90cff1",
-      "bytes": 394237,
-      "rows": 44,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2cc52737-d8cf-5869-a14d-1b382fe51967",
     "numina:3e3ce225-93d7-5cab-aa69-81781973b32a",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003512.lean\",\"5bf03e874a744043f26781b2c5ed30fc873192815d8fed7a729fa45d70228b65\",0,\"number_theory_639116\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003513.lean\",\"fa3d49a4876c677e1befd61b8439b0e5989575dded93da900bf89b61c385fb04\",1,\"number_theory_639125\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003514.lean\",\"84a5b68163cfbec131e031dcdf393be59a7025180f9697f65eaf49afaeb566d0\",0,\"algebra_639129\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394237,
+      "path": "data/train/pec/numina-000702-0000-241d0701f8ef3205.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "241d0701f8ef32052a4849f18429393327bc5c218350f0d9f3576808fe90cff1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000703.json b/manifests/batches/numina/000703.json
index 27543fac41031ba6ec7066b7f8dc7a81e58eb6c7..8199e9021f9c89318c39166075fb5b49af62b0a2 100644
--- a/manifests/batches/numina/000703.json
+++ b/manifests/batches/numina/000703.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000703",
   "batch_fingerprint": "1162abb77016afa3209e135b26e5b8c4d5e625ad28e302e87adcf2a9e5a35dad",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000703-0000-433dfe5bd15fcdfc.parquet",
-      "sha256": "433dfe5bd15fcdfc9607450b2ec4566c4b79486ebded665919b868009ee95975",
-      "bytes": 579119,
-      "rows": 53,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:257f6a89-cfc7-56a4-85cc-1f5e95d2837a",
     "numina:3708cb27-1e30-592b-bd66-f3ed10c5c497",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003517.lean\",\"9a5ba1c929a4887df380b0230bad2956ce175dc4986059280b509ca44617c7aa\",0,\"number_theory_639164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003518.lean\",\"8baf2bc984180947f232f5d1e0bf01fe4f2a51a04aaecd0c8ecd26994f961764\",0,\"number_theory_639166\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003519.lean\",\"1b4365370d41b163b461704a79966c49f9a38fdbfefc0252d2eb95a13d9f0043\",0,\"number_theory_639169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 579119,
+      "path": "data/train/pd7/numina-000703-0000-433dfe5bd15fcdfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "433dfe5bd15fcdfc9607450b2ec4566c4b79486ebded665919b868009ee95975"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000704.json b/manifests/batches/numina/000704.json
index 1fb293089559c716a92b0bc69969f9268b211a28..566401605cffd726c8a73786ac4e8f6e80000ced 100644
--- a/manifests/batches/numina/000704.json
+++ b/manifests/batches/numina/000704.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000704",
   "batch_fingerprint": "0898b908881fd9db35baab91c5739e795e04390dc095cedc2954c7ff6a99740d",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:07b331b9-8ce8-5f8f-a03d-83faf21c75e6",
+    "numina:22abc830-9358-5902-b149-ff723a18f421",
+    "numina:56deaa10-bdd0-56bf-8015-059a8a6fc8bc",
+    "numina:a3ef606d-2ec7-500e-aa23-9f85a500ea40",
+    "numina:c4ac98e0-6542-5376-9bac-3dbf284503f6"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003520.lean\",\"e7f2673546204ae4a983ac214b8599a3ccffa9506d06c33e5ca7b9a4e460c743\",0,\"algebra_639231\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003521.lean\",\"d7915f8911c6dc8211c3759512e8d2f67b8223e40e69a1046dde289c8a64bc29\",0,\"number_theory_639232\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003522.lean\",\"5e479933eea9b0bb03c98b0c475a0bb4c740289871dfa678dd43e0864f7ed365\",0,\"number_theory_639236\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003523.lean\",\"cba6bccd41721aa200459f796da3e1da1946864da5cf7e7fd32a3c64dfbd8e48\",0,\"number_theory_639253\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003524.lean\",\"e79874b8fdd8954d391f184244f1fd4d733a62f9965f6a9cfbef7fc35b66a3c4\",0,\"mod14_of_modN_modNplus1\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000704-0000-a63cc1d5c467e01b.parquet",
-      "sha256": "a63cc1d5c467e01b9da7a088bb0d0d4e8543e493a5c6fb36df470a61d2818d3c",
       "bytes": 58193,
+      "path": "data/train/p71/numina-000704-0000-a63cc1d5c467e01b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "78e713781b209fdf09d181951a2c2288744b2dbf"
+      "sha256": "a63cc1d5c467e01b9da7a088bb0d0d4e8543e493a5c6fb36df470a61d2818d3c"
     },
     {
-      "path": "data/train/numina-000704-0001-11bc2e20424c79ad.parquet",
-      "sha256": "11bc2e20424c79ad6775fd2efd724eccfaa5dd11123cfbf2ba8b5f3e0268815c",
       "bytes": 770679,
+      "path": "data/train/p71/numina-000704-0001-11bc2e20424c79ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "78e713781b209fdf09d181951a2c2288744b2dbf"
+      "sha256": "11bc2e20424c79ad6775fd2efd724eccfaa5dd11123cfbf2ba8b5f3e0268815c"
     },
     {
-      "path": "data/train/numina-000704-0002-e4c9239e2ef1f550.parquet",
-      "sha256": "e4c9239e2ef1f550387a14d28c8bd7c409967b16c79da8952bb488d2695b8e40",
       "bytes": 547175,
+      "path": "data/train/p71/numina-000704-0002-e4c9239e2ef1f550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 44,
-      "revision": "78e713781b209fdf09d181951a2c2288744b2dbf"
+      "sha256": "e4c9239e2ef1f550387a14d28c8bd7c409967b16c79da8952bb488d2695b8e40"
     },
     {
-      "path": "data/dev/numina-000704-0000-7bba78559cbbd1c8.parquet",
-      "sha256": "7bba78559cbbd1c82838903604ef4f8d01ba3367f2ca472336e6b74ac8b76992",
       "bytes": 58261,
+      "path": "data/dev/p71/numina-000704-0000-7bba78559cbbd1c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "78e713781b209fdf09d181951a2c2288744b2dbf"
+      "sha256": "7bba78559cbbd1c82838903604ef4f8d01ba3367f2ca472336e6b74ac8b76992"
     }
-  ],
-  "proof_ids": [
-    "numina:07b331b9-8ce8-5f8f-a03d-83faf21c75e6",
-    "numina:22abc830-9358-5902-b149-ff723a18f421",
-    "numina:56deaa10-bdd0-56bf-8015-059a8a6fc8bc",
-    "numina:a3ef606d-2ec7-500e-aa23-9f85a500ea40",
-    "numina:c4ac98e0-6542-5376-9bac-3dbf284503f6"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003520.lean\",\"e7f2673546204ae4a983ac214b8599a3ccffa9506d06c33e5ca7b9a4e460c743\",0,\"algebra_639231\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003521.lean\",\"d7915f8911c6dc8211c3759512e8d2f67b8223e40e69a1046dde289c8a64bc29\",0,\"number_theory_639232\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003522.lean\",\"5e479933eea9b0bb03c98b0c475a0bb4c740289871dfa678dd43e0864f7ed365\",0,\"number_theory_639236\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003523.lean\",\"cba6bccd41721aa200459f796da3e1da1946864da5cf7e7fd32a3c64dfbd8e48\",0,\"number_theory_639253\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003524.lean\",\"e79874b8fdd8954d391f184244f1fd4d733a62f9965f6a9cfbef7fc35b66a3c4\",0,\"mod14_of_modN_modNplus1\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000705.json b/manifests/batches/numina/000705.json
index 3db29174c4ab403cd95df9d5dbf796fdc0cd634b..4730a720b314e81f1eb3db33f7a74754da08d673 100644
--- a/manifests/batches/numina/000705.json
+++ b/manifests/batches/numina/000705.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000705",
   "batch_fingerprint": "749842182c45052a94b70445b5f609978537b38a0b8ac381965c52964b93a641",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000705-0000-094a081565de5385.parquet",
-      "sha256": "094a081565de5385a29a173aca3572e3c7ce3bd7380ea7b5110d80af38f76b00",
-      "bytes": 340126,
-      "rows": 59,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:67fceceb-9707-550a-997d-834c65b83c33",
     "numina:6b81575b-2c9d-5d76-92ef-b6a4de8cbdc0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003527.lean\",\"d28d099934f4332b87d1f98350e354c1ee31cc136b754838931156efa7b57591\",0,\"number_theory_639343\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003528.lean\",\"e96d821ba571ac4534184241cc006a58e11ceec1584f802c584f3c2830e1f530\",0,\"number_theory_639356\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003529.lean\",\"d7f982bf830cc812cba90c6249fd5dceff60b664baf97b2fc896f8c3f3944f1b\",0,\"number_theory_639401\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340126,
+      "path": "data/train/p7a/numina-000705-0000-094a081565de5385.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "094a081565de5385a29a173aca3572e3c7ce3bd7380ea7b5110d80af38f76b00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000706.json b/manifests/batches/numina/000706.json
index 09fcd8c06c1b29672d9297ea7c9603a38f7add9c..a6446950979924ab8ab675509dd804371232d71c 100644
--- a/manifests/batches/numina/000706.json
+++ b/manifests/batches/numina/000706.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000706",
   "batch_fingerprint": "97c4916592469ee61bffaf76ab644ffc5a8dbead13b4bdb8b4e2f7f9fa6e3f4b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000706-0000-e2b7ff21718bb7a5.parquet",
-      "sha256": "e2b7ff21718bb7a52a823dc384bb36815b36526859aaadf5f3186be54a8f957e",
-      "bytes": 171181,
-      "rows": 25,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/internal_test/numina-000706-0000-476fe092471fd00e.parquet",
-      "sha256": "476fe092471fd00eb903d422f55a1fb1278f145e6311c5742bfcb07df3192aee",
-      "bytes": 56834,
-      "rows": 12,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24068bf8-8f6f-54a6-b403-3f2364129422",
     "numina:6a85102d-d40b-562b-b52f-e4d420421541",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003532.lean\",\"d5594407928f2fa4794ab7f160eb7a50100a24e9b255e851d184464c92004925\",0,\"number_theory_639453\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003533.lean\",\"b1257f8a8941407e8732a7454ae18d0c94aa4f560fe17b7894a9057bc21902d7\",0,\"number_theory_639463\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003534.lean\",\"09e325ac5a4bae3cdb3d3785da08ecaa166b1e363cae6b6ea608aa1725a09ed3\",0,\"number_theory_639468\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171181,
+      "path": "data/train/pc4/numina-000706-0000-e2b7ff21718bb7a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e2b7ff21718bb7a52a823dc384bb36815b36526859aaadf5f3186be54a8f957e"
+    },
+    {
+      "bytes": 56834,
+      "path": "data/internal_test/pc4/numina-000706-0000-476fe092471fd00e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "476fe092471fd00eb903d422f55a1fb1278f145e6311c5742bfcb07df3192aee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000707.json b/manifests/batches/numina/000707.json
index 583fc7b83d3c26fcdf36a7e1648f21f03ba6a91d..5fd40c4ed7eb38e7496358cd782f8a335f2070ed 100644
--- a/manifests/batches/numina/000707.json
+++ b/manifests/batches/numina/000707.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000707",
   "batch_fingerprint": "a28dfbd46fe5dd8bf51d139f06b11a7f241b00e945dc02cf76b4531c82475a3f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000707-0000-53dea3941a0d7a20.parquet",
-      "sha256": "53dea3941a0d7a209a24a19b52a8a2fccf20bad560222d197d33a8b21fc70744",
-      "bytes": 397045,
-      "rows": 37,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/dev/numina-000707-0000-2d091e14264259ab.parquet",
-      "sha256": "2d091e14264259abec8080ca866e9060276fe5bcfa2885ad10a39b79d578b70d",
-      "bytes": 400918,
-      "rows": 24,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3eb376c3-519f-5594-8496-c1c24f48688d",
     "numina:49f6d14c-e981-553e-b9dd-5ac5d6752538",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003537.lean\",\"7e17ed4e5323deeaf60b16106e38a827eb5f45599637d13e6278ec755afcc644\",0,\"number_theory_639489\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003538.lean\",\"0ef3fc7a0f38b6595b2b01cb9fbf9c31d9ccf350d741755497222e60b89d644f\",0,\"algebra_639495\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003539.lean\",\"b3063518114174f66402f3605e57904e1198d342d27eae792e72f1d2b7be0afe\",0,\"number_theory_639500\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397045,
+      "path": "data/train/p0e/numina-000707-0000-53dea3941a0d7a20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "53dea3941a0d7a209a24a19b52a8a2fccf20bad560222d197d33a8b21fc70744"
+    },
+    {
+      "bytes": 400918,
+      "path": "data/dev/p0e/numina-000707-0000-2d091e14264259ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2d091e14264259abec8080ca866e9060276fe5bcfa2885ad10a39b79d578b70d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000708.json b/manifests/batches/numina/000708.json
index d0f5de0986fabd8fb443b0a9e0242a51aadc58d0..cb9d33851b54252dd36509e2365102866110e3e2 100644
--- a/manifests/batches/numina/000708.json
+++ b/manifests/batches/numina/000708.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000708",
   "batch_fingerprint": "fb06c3c68005c860a3d112486834a3c98a295b465f5319f7be1072c4e1fd879a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000708-0000-d3ab8d19736b8818.parquet",
-      "sha256": "d3ab8d19736b8818178ad4161a45e895c1b42f9bb1a6397d4519ab62adc31917",
-      "bytes": 655482,
-      "rows": 43,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d46e674-8a99-54ea-91f8-bb5392d07aca",
     "numina:571d811b-62a9-55e9-b730-33b8d090a5fe",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003542.lean\",\"97d3a0f47f9bbcd93907aa9b120d5ca440e5aec16f46a9b95bea86e77e5ef718\",4,\"number_theory_639516\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003543.lean\",\"1e6e6be72831b5f98b6092e44c59757e7725dfc8bb887c450f5da89d32b05b82\",0,\"number_theory_639535\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003544.lean\",\"0ce20e1d47c5c8be0c3b98b9140a524c126ea57feb28f750e5bb0c419d828912\",0,\"number_theory_639542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 655482,
+      "path": "data/train/p90/numina-000708-0000-d3ab8d19736b8818.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "d3ab8d19736b8818178ad4161a45e895c1b42f9bb1a6397d4519ab62adc31917"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000709.json b/manifests/batches/numina/000709.json
index 4b945b9da75850c2d4f7d1d0c481124741d54011..ace6d7f96164fd6b2dbba39e91d8d1afa933b886 100644
--- a/manifests/batches/numina/000709.json
+++ b/manifests/batches/numina/000709.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000709",
   "batch_fingerprint": "2fde7dc652bd01491f14cfc8d8142a5f2f61220d8e109c6383ce35c80ea136a5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000709-0000-71ac17a72e9d127a.parquet",
-      "sha256": "71ac17a72e9d127a016e1b7a11def835d337b4b22074b0cbf4f724c535a37815",
-      "bytes": 111411,
-      "rows": 19,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/dev/numina-000709-0000-0c975856a9455173.parquet",
-      "sha256": "0c975856a9455173c4be382151d0d182b4cd965dfd3bc0929611d77fabe1fb4e",
-      "bytes": 175482,
-      "rows": 3,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    },
-    {
-      "path": "data/internal_test/numina-000709-0000-31abfc475bad4ac0.parquet",
-      "sha256": "31abfc475bad4ac0598b8dad2736e66b415a5ecc908d13a1d00c92ece1c831de",
-      "bytes": 37797,
-      "rows": 1,
-      "revision": "e52acd9f6baa8693d54da43286e8a5a661391138"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29aa9a37-47e4-54a5-a1df-67d5542eb73a",
     "numina:87942be2-8169-5189-941f-998d08988926",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003547.lean\",\"3c91816c559c5890a0f45b0883ab19cf3029d6f12b309dbe28a71942ea577c85\",0,\"number_theory_639575\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003548.lean\",\"49db864b48e0b56b619975ad697d8e5532ac57e0d67c029af34e3ee2e629a807\",0,\"number_theory_639588\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003549.lean\",\"a3f90c78f016b01edbd5123ecc97128f0317580a0f31a48636bcc3a9b8dbbba3\",0,\"number_theory_639639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111411,
+      "path": "data/train/p0b/numina-000709-0000-71ac17a72e9d127a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "71ac17a72e9d127a016e1b7a11def835d337b4b22074b0cbf4f724c535a37815"
+    },
+    {
+      "bytes": 175482,
+      "path": "data/dev/p0b/numina-000709-0000-0c975856a9455173.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0c975856a9455173c4be382151d0d182b4cd965dfd3bc0929611d77fabe1fb4e"
+    },
+    {
+      "bytes": 37797,
+      "path": "data/internal_test/p0b/numina-000709-0000-31abfc475bad4ac0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "31abfc475bad4ac0598b8dad2736e66b415a5ecc908d13a1d00c92ece1c831de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000710.json b/manifests/batches/numina/000710.json
index f42a866ae76dd5e08c64971e50a751f118052479..2df5dd5fbb9dd3a22bb69bec45081a127e8fa888 100644
--- a/manifests/batches/numina/000710.json
+++ b/manifests/batches/numina/000710.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000710",
   "batch_fingerprint": "e5e27a305f8de2d52b3bc8e5c6168198ee83c22f7f6b01bed37b7d0382b02bb4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000710-0000-a0ebec9c35f0d0e3.parquet",
-      "sha256": "a0ebec9c35f0d0e3ae68eb8b80dbdc2d52d6219ece1066dc04d31f5e4f566b97",
-      "bytes": 179834,
-      "rows": 26,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3b2bbbc3-8a13-52dd-97cc-aff2269a7763",
     "numina:5b236642-87ed-5e54-a78b-9cbec7f8fc11",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003552.lean\",\"05ee21f7ae166721118e322071bb13475a15603867f03258a057645d8379d151\",0,\"number_theory_639668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003553.lean\",\"1035400d39bf3bb2c2127b6b7304708fa103ba824a61fcd3e71d2cfbadbfa0c8\",0,\"number_theory_639678\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003554.lean\",\"79c259062d41fc6dceeb748d67e8dec7fa51f74528a45f9cd20e4a1a353a5f55\",0,\"number_theory_639681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179834,
+      "path": "data/train/p70/numina-000710-0000-a0ebec9c35f0d0e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a0ebec9c35f0d0e3ae68eb8b80dbdc2d52d6219ece1066dc04d31f5e4f566b97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000711.json b/manifests/batches/numina/000711.json
index 3b2a5143cd1acd9bd35d6132a74834e0f10b3357..22c3ea088d1f784cce0779ea719c2bd0dcaa155b 100644
--- a/manifests/batches/numina/000711.json
+++ b/manifests/batches/numina/000711.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000711",
   "batch_fingerprint": "d8471c87dafec7d2cf6a506891647cab5dadc09a1138465e84f6e0e1610f94ab",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000711-0000-3f6bba5eb9536f69.parquet",
-      "sha256": "3f6bba5eb9536f695b497fa1cadf62474fdd5cfb886851c8c84643b80a1e472e",
-      "bytes": 236888,
-      "rows": 18,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fe711b5-de27-5fa1-b91b-e42208f57cce",
     "numina:31279461-20a6-5b50-94f8-74f14fc681ec",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003557.lean\",\"d2888401554106cb7b15c8a48bd631dea17efe56459f2a784e89c949a69f85bb\",0,\"digit_congruence\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003558.lean\",\"9021bd6ef819ac1a22185d143245a8e04273dc2c1b021aee0e094623928cfe1b\",0,\"algebra_639715\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003559.lean\",\"fbe7048096ce0c10d97daeb1fc3049a6d68395a327b17a5e9f7b3abea8fcc9cf\",0,\"number_theory_639727\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236888,
+      "path": "data/train/p82/numina-000711-0000-3f6bba5eb9536f69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3f6bba5eb9536f695b497fa1cadf62474fdd5cfb886851c8c84643b80a1e472e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000712.json b/manifests/batches/numina/000712.json
index 87d235eff0dfdf936d2d9f6134da0b0dd60576c9..b93cdbce7e820faa3e80fb870ad85440e621773f 100644
--- a/manifests/batches/numina/000712.json
+++ b/manifests/batches/numina/000712.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000712",
   "batch_fingerprint": "4e8600c74f9955fa5e1bc86c60f0f4c90e1c73646bf0842febbc591a311be496",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000712-0000-e7934c368ab1fc4b.parquet",
-      "sha256": "e7934c368ab1fc4b2e74fbbdacc69428cac39167c3d68c42b0d1812a5196006a",
-      "bytes": 463006,
-      "rows": 36,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000712-0000-03416dca775ec311.parquet",
-      "sha256": "03416dca775ec3111da5601b81aeb4c448a2b39cd01d1995221c8edb65622e26",
-      "bytes": 1316871,
-      "rows": 42,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a27a683-4a1b-5c48-9a1b-5cc92dc820fd",
     "numina:37821630-3aeb-5650-b8fb-0124fc7edd0e",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003562.lean\",\"39ad21e94f02b89e893ffc3ece3a178ca8c2185e5d1c976e87290be133efd626\",1,\"number_theory_639794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003563.lean\",\"0b495f4535badaaf2ea4c55f76abe0b96aae67dbeb38da850cfbf2c2169510af\",0,\"number_theory_639795\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003564.lean\",\"ce935b638bd942db54083bf7c8ee684e697cd533ab141f6f2690eb1da1e28a65\",0,\"number_theory_639821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463006,
+      "path": "data/train/p2f/numina-000712-0000-e7934c368ab1fc4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "e7934c368ab1fc4b2e74fbbdacc69428cac39167c3d68c42b0d1812a5196006a"
+    },
+    {
+      "bytes": 1316871,
+      "path": "data/internal_test/p2f/numina-000712-0000-03416dca775ec311.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "03416dca775ec3111da5601b81aeb4c448a2b39cd01d1995221c8edb65622e26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000713.json b/manifests/batches/numina/000713.json
index bc5729c4477fda47c36786bb94b4946df1adcf06..0fbc44c8c8fa0a2b26c201b5b0d7288fd6df83d5 100644
--- a/manifests/batches/numina/000713.json
+++ b/manifests/batches/numina/000713.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000713",
   "batch_fingerprint": "0641bcab68086a01ed9b332eaaa6629923dc44172f1d9d1db94e1d9b4b484b3c",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1eb2c383-06dc-5b02-88ab-53beb8d2c588",
+    "numina:60f8e02e-ccab-512e-a351-b91fa7d43a32",
+    "numina:c3300dfe-4fd1-514e-83d8-16eedb11b077",
+    "numina:ff20dce9-c227-56b1-96f3-868f702d6944"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003566.lean\",\"3cf10aa29902195e88674b201e7ad67cb328b9e1b6b99f76de3e6eb3d3b1089b\",0,\"number_theory_639851\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003567.lean\",\"7f701583cad7937b23a33d221aa4d673accf4d4daae469a9a7e8a36cd072e6d4\",1,\"number_theory_639854\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003568.lean\",\"6ea950fff7e142e20759f63cd282af349c0da272b89d7d2a8b5b9d5628f4d933\",0,\"number_theory_639863\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003569.lean\",\"882727ba69b493903b552958a1d6cae585c8aa90b8a753c1bf8372836a07daad\",0,\"number_theory_639881\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000713-0000-4d47f1d25b7eca5f.parquet",
-      "sha256": "4d47f1d25b7eca5f28d64145fced7e577f64f20aef5c931c5860e8c95180f66f",
       "bytes": 73259,
+      "path": "data/train/pf7/numina-000713-0000-4d47f1d25b7eca5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "4d47f1d25b7eca5f28d64145fced7e577f64f20aef5c931c5860e8c95180f66f"
     },
     {
-      "path": "data/dev/numina-000713-0000-1f67196f2ba07fb4.parquet",
-      "sha256": "1f67196f2ba07fb40ecd526d22b72fb32295cd3af6c2c3346575c45bee53386c",
       "bytes": 110923,
+      "path": "data/dev/pf7/numina-000713-0000-1f67196f2ba07fb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "1f67196f2ba07fb40ecd526d22b72fb32295cd3af6c2c3346575c45bee53386c"
     },
     {
-      "path": "data/internal_test/numina-000713-0000-32722f791771c56a.parquet",
-      "sha256": "32722f791771c56aba9fb126f1c38d0facd9e92d91858f8e19a7a2f5d2c7afee",
       "bytes": 85016,
+      "path": "data/internal_test/pf7/numina-000713-0000-32722f791771c56a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "32722f791771c56aba9fb126f1c38d0facd9e92d91858f8e19a7a2f5d2c7afee"
     }
-  ],
-  "proof_ids": [
-    "numina:1eb2c383-06dc-5b02-88ab-53beb8d2c588",
-    "numina:60f8e02e-ccab-512e-a351-b91fa7d43a32",
-    "numina:c3300dfe-4fd1-514e-83d8-16eedb11b077",
-    "numina:ff20dce9-c227-56b1-96f3-868f702d6944"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003566.lean\",\"3cf10aa29902195e88674b201e7ad67cb328b9e1b6b99f76de3e6eb3d3b1089b\",0,\"number_theory_639851\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003567.lean\",\"7f701583cad7937b23a33d221aa4d673accf4d4daae469a9a7e8a36cd072e6d4\",1,\"number_theory_639854\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003568.lean\",\"6ea950fff7e142e20759f63cd282af349c0da272b89d7d2a8b5b9d5628f4d933\",0,\"number_theory_639863\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003569.lean\",\"882727ba69b493903b552958a1d6cae585c8aa90b8a753c1bf8372836a07daad\",0,\"number_theory_639881\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000714.json b/manifests/batches/numina/000714.json
index 18e6534c1d126b40d5c82100c2394c1fad9bdc5d..bcbcd781e9544d6e38ac0e5518133111c51b7ca5 100644
--- a/manifests/batches/numina/000714.json
+++ b/manifests/batches/numina/000714.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000714",
   "batch_fingerprint": "29fc9fcdb9edb2d78054db9f43fec51802937d244c89432d8181a441810f7f86",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000714-0000-805fc0ce9b42bdcf.parquet",
-      "sha256": "805fc0ce9b42bdcfcb7a3449e8bcf46a1c4844a3d9827fde5d45f4d1f75777f6",
-      "bytes": 157757,
-      "rows": 31,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a947dd6-3a75-51a8-860e-8150f78fce23",
     "numina:279f2e16-5cd8-5d5c-bbe0-564739285cd1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003572.lean\",\"50c922b7abcdb9ba13aeeebad66f6fa7eb7f55da8a1a762338d2caa268f3dd54\",0,\"algebra_639913\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003573.lean\",\"039fd251f60f6d0202a234604d13c84c7692e4afb2b2e09a0f812219b632d57b\",0,\"algebra_639939\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003574.lean\",\"63f27d7b7675832434859f1ab3531bde179c5bb46d1ed5a167aaa7fe19f24af6\",0,\"number_theory_639974\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157757,
+      "path": "data/train/p1d/numina-000714-0000-805fc0ce9b42bdcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "805fc0ce9b42bdcfcb7a3449e8bcf46a1c4844a3d9827fde5d45f4d1f75777f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000715.json b/manifests/batches/numina/000715.json
index a65e65750062ae63ee5579efa3bce357cbabd9df..7cc7668dd53d91b074b7554eb93aacd1703a1b59 100644
--- a/manifests/batches/numina/000715.json
+++ b/manifests/batches/numina/000715.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000715",
   "batch_fingerprint": "533e68550658e9927bdcf6f8b49aa412f380339f233a226715bba589f81b5bf0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000715-0000-9bc560fd053c6a36.parquet",
-      "sha256": "9bc560fd053c6a36e4406e1687d547e3da8a92b1558272a50e8860d3c47b0cbd",
-      "bytes": 314360,
-      "rows": 30,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19e176e3-1496-5200-be45-16876279aba4",
     "numina:3324fc6b-a8c0-5f70-9d0e-95d0e3325d8c",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003577.lean\",\"b71d73f9484a0f6f5d8de0108cc25030e84efced72f9a2c293857759cc845f4a\",0,\"number_theory_640007\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003578.lean\",\"e53087a59a8ed2ebd6ba5d12e94d78965bda318cbc7372739df971b95e1fc203\",0,\"number_theory_640025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003579.lean\",\"09d488b2b88f34b7d58a36fde5829c0686bcd77c53cb019e1f8b7113076501bc\",0,\"number_theory_640028\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314360,
+      "path": "data/train/p30/numina-000715-0000-9bc560fd053c6a36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9bc560fd053c6a36e4406e1687d547e3da8a92b1558272a50e8860d3c47b0cbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000716.json b/manifests/batches/numina/000716.json
index d63c66dc8d685bd825efa2f208fcb53d4c8b1889..6cff956fd5e8ea2bfb54c71930ac5bc2fe74b505 100644
--- a/manifests/batches/numina/000716.json
+++ b/manifests/batches/numina/000716.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000716",
   "batch_fingerprint": "00b476c48422b1d34e13b1e53ec2e099cd498cfb29f6c9db64edbd59ca0fa6a7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000716-0000-efba61d325893a0e.parquet",
-      "sha256": "efba61d325893a0e81daba2bac3b7b8bae42bddbab2d24338777542a8753b48d",
-      "bytes": 134196,
-      "rows": 20,
-      "revision": "e20ffed76fc2ba759ad1f3774482eee42ab4c330"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:076e92f8-8623-51a0-b140-cf2cff925861",
     "numina:30cdaab5-1eec-5c67-942b-bac9c56c0709",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003582.lean\",\"a3fabe078dae75c9cf012692c634192817a74a81782bddb477e1d50eee01a8fa\",0,\"number_theory_640136\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003583.lean\",\"620acdbbd1bd83f260e246a295c79d29197c0503bcf0f9c309f9fde28606ed6c\",1,\"number_theory_640148.number_theory_640148\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003584.lean\",\"ae5b926a6d876a0a2b6cbd74aa3d6a1509649d99376afc091967156f763d0862\",1,\"number_theory_640164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134196,
+      "path": "data/train/p3e/numina-000716-0000-efba61d325893a0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "efba61d325893a0e81daba2bac3b7b8bae42bddbab2d24338777542a8753b48d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000717.json b/manifests/batches/numina/000717.json
index 26b04bd29e85103385b3109f1d7a527283d1e6e6..dd1788a930a9265edd9dc7bbed0eef4066497e68 100644
--- a/manifests/batches/numina/000717.json
+++ b/manifests/batches/numina/000717.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000717",
   "batch_fingerprint": "f12e61d631886bea191cd9b51cbff1c83007912310d5223bdb5e11429510d697",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000717-0000-30c5f8d0a5fee163.parquet",
-      "sha256": "30c5f8d0a5fee163e8cf3292c22d0ea805258361f58ce3e238ac70f5ba630a53",
-      "bytes": 298397,
-      "rows": 48,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/dev/numina-000717-0000-5c98575f0a36bb55.parquet",
-      "sha256": "5c98575f0a36bb559cf1764a7615da462e0a9c5c3424e5eb4dc6ad304fbc16a2",
-      "bytes": 644217,
-      "rows": 23,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/dev/numina-000717-0001-f1f153a6cc631389.parquet",
-      "sha256": "f1f153a6cc631389ec586698e323e4e6c37cb6a4fa84437dab3371da4e2e2dd2",
-      "bytes": 185939,
-      "rows": 13,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15addf7d-34e1-53e0-8fbd-4d40e01cad4b",
     "numina:22d7f19b-bc45-5e30-a13c-0caf112bc468",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003587.lean\",\"542b1de831d127e8beabb377859859e822b3cec4f3bb351510936d5c14cc903c\",0,\"number_theory_640192\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003588.lean\",\"127194464cdae41e6d26a9dd45c10cf9ed1988a2de87629f605db8778db2fba0\",0,\"algebra_640208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003589.lean\",\"58d60c011e013d8c9951bcfe3551a3fe319ce9970407bf2f11c5f2aef4cc9a8a\",0,\"number_theory_640246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298397,
+      "path": "data/train/pc1/numina-000717-0000-30c5f8d0a5fee163.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "30c5f8d0a5fee163e8cf3292c22d0ea805258361f58ce3e238ac70f5ba630a53"
+    },
+    {
+      "bytes": 644217,
+      "path": "data/dev/pc1/numina-000717-0000-5c98575f0a36bb55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5c98575f0a36bb559cf1764a7615da462e0a9c5c3424e5eb4dc6ad304fbc16a2"
+    },
+    {
+      "bytes": 185939,
+      "path": "data/dev/pc1/numina-000717-0001-f1f153a6cc631389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f1f153a6cc631389ec586698e323e4e6c37cb6a4fa84437dab3371da4e2e2dd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000718.json b/manifests/batches/numina/000718.json
index b6afe2444a2f8f1eb5a506e28b89a42d11f8d238..37f7f6b4b381429db1260a15e00bd8b34f130727 100644
--- a/manifests/batches/numina/000718.json
+++ b/manifests/batches/numina/000718.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000718",
   "batch_fingerprint": "95284fd36ff00be0aaf4c95998edd39842dfb39b76ec1074fb9fc2327d80b705",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000718-0000-3070c166d013e65a.parquet",
-      "sha256": "3070c166d013e65a808f373bd4fbf1800d74a195b63d06c365aa7f4ec335a242",
-      "bytes": 257240,
-      "rows": 18,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000718-0000-b7a734955c24c470.parquet",
-      "sha256": "b7a734955c24c470c5a1769728fd8d0c108573168e7266bca93d2440408815e7",
-      "bytes": 30899,
-      "rows": 6,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6814a78e-245f-5ce8-bf90-9bfbb7866146",
     "numina:874daab6-9b68-5e37-90ab-9df7f2d939ac",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003592.lean\",\"08bdd36e1efdca29a516aed242853bcdeb4b48cf5503e9927e2597bd81845109\",0,\"number_theory_640262\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003593.lean\",\"314110f2fd92ed0f2a917ee2ebc549a8dbebd09c63b0c274052532410734fea4\",0,\"number_theory_640273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003594.lean\",\"d29f83d363017d4bd3ae1bc8fcb984998bb84b67cca71fb02e3d3e96f067d606\",2,\"number_theory_640280.number_theory_640280\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257240,
+      "path": "data/train/p3b/numina-000718-0000-3070c166d013e65a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3070c166d013e65a808f373bd4fbf1800d74a195b63d06c365aa7f4ec335a242"
+    },
+    {
+      "bytes": 30899,
+      "path": "data/internal_test/p3b/numina-000718-0000-b7a734955c24c470.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b7a734955c24c470c5a1769728fd8d0c108573168e7266bca93d2440408815e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000719.json b/manifests/batches/numina/000719.json
index 8d9376f84f3d17038e5af8aa425d59be30f1a60d..6089b07dd5037833cb9bad607bb5ffc4e3e8b11f 100644
--- a/manifests/batches/numina/000719.json
+++ b/manifests/batches/numina/000719.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000719",
   "batch_fingerprint": "fb96c5a25ae0696a73ab91bb2cfb88f0fe9c008107c9d2540d53aef17f3dad53",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000719-0000-dd54805a077fecbe.parquet",
-      "sha256": "dd54805a077fecbef50ab877f3ff86ba6d498757c7814aad36e76ceb093ed56a",
-      "bytes": 369034,
-      "rows": 43,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000719-0000-b94db406d141ce67.parquet",
-      "sha256": "b94db406d141ce67b244292bcc68cd7702aa28f14ca3d94ef478617b96645665",
-      "bytes": 28349,
-      "rows": 1,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:215ff2cd-6151-58b9-81a3-b039e0514b2c",
     "numina:41da3f3a-9fdc-5025-b4e0-db60d4971fd8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003597.lean\",\"266259780b819400609cc14f7b97a30552b1cf6be72b9bd764e18e8fab562084\",0,\"number_theory_640311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003598.lean\",\"1048ba63a6bb4c3dd36da6fcca8cfbeaf307820c0a1d6118a06ca5dd83a2c435\",0,\"number_theory_640330\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003599.lean\",\"82613366d0615dd9d2aec1801db334d4da0bb29864d3988d231ac751c0aa748b\",0,\"number_theory_640339\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369034,
+      "path": "data/train/pfd/numina-000719-0000-dd54805a077fecbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "dd54805a077fecbef50ab877f3ff86ba6d498757c7814aad36e76ceb093ed56a"
+    },
+    {
+      "bytes": 28349,
+      "path": "data/internal_test/pfd/numina-000719-0000-b94db406d141ce67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b94db406d141ce67b244292bcc68cd7702aa28f14ca3d94ef478617b96645665"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000720.json b/manifests/batches/numina/000720.json
index e7fecff29619896c6c9cff3fa00ae5d13be73c3d..39c8268ca887b90213133c5124f9c226b63cbdb4 100644
--- a/manifests/batches/numina/000720.json
+++ b/manifests/batches/numina/000720.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000720",
   "batch_fingerprint": "7c966f5d6353dc4b37ffcd24dd9532cebc41e0cc5629e42ca5215245a8f5bbcf",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:03c42179-bd8b-5916-9fb2-f139434dc511",
+    "numina:12f7fbce-7e46-5813-b7f9-bab289ba62c4",
+    "numina:4a21c5c1-0375-58f7-b975-5b2f032a0c9f",
+    "numina:53984ebc-239f-5d13-a16b-b880ee288dfd",
+    "numina:81b12dae-9e38-5477-b989-2f5409e338f4"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003600.lean\",\"b3f9b372abbd3491f76c8c6986ca02cfcde1f1c2b15b510fa3b6879c85208417\",0,\"Number_Theory_640343\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003601.lean\",\"3474445daaf32d07f045be3d8b439312d212b2c55a678d786d261ca002cee6d7\",0,\"number_theory_640350\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003602.lean\",\"88f5b6b5af61468127a2d694390b5405163454c48afdca41e7b6fe0cf65834b0\",3,\"number_theory_640357\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003603.lean\",\"f18aff4ec25de8c7992eb6677621f6523cdc20cfe4a98253677852ca6d98694a\",0,\"number_theory_640361\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003604.lean\",\"458eb0348959949eebe5ad427abaa8ded6012ca22d8f50fb95c72f41ffa4dd22\",0,\"number_theory_640373\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000720-0000-12bce6b1b6ed8f1a.parquet",
-      "sha256": "12bce6b1b6ed8f1a14b466586ec22de80a0a1b6a802259d52a146ab601253a11",
       "bytes": 72416,
+      "path": "data/train/p5d/numina-000720-0000-12bce6b1b6ed8f1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "12bce6b1b6ed8f1a14b466586ec22de80a0a1b6a802259d52a146ab601253a11"
     },
     {
-      "path": "data/train/numina-000720-0001-0e650099bae6f114.parquet",
-      "sha256": "0e650099bae6f114a5c857d336674a9a0455a57cfe831d1d60c28fa3d8011b02",
       "bytes": 1332794,
+      "path": "data/train/p5d/numina-000720-0001-0e650099bae6f114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "0e650099bae6f114a5c857d336674a9a0455a57cfe831d1d60c28fa3d8011b02"
     },
     {
-      "path": "data/train/numina-000720-0002-060001753861739d.parquet",
-      "sha256": "060001753861739db430b2ca73f79b421b476e87d18c9cf54f82a1a8662e4241",
       "bytes": 397266,
+      "path": "data/train/p5d/numina-000720-0002-060001753861739d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 48,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "060001753861739db430b2ca73f79b421b476e87d18c9cf54f82a1a8662e4241"
     },
     {
-      "path": "data/internal_test/numina-000720-0000-730c97b0b3f90e33.parquet",
-      "sha256": "730c97b0b3f90e330222fdc002f2c5e93c0a4390237d07e87d2bb6cb4d38d846",
       "bytes": 64314,
+      "path": "data/internal_test/p5d/numina-000720-0000-730c97b0b3f90e33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
+      "sha256": "730c97b0b3f90e330222fdc002f2c5e93c0a4390237d07e87d2bb6cb4d38d846"
     }
-  ],
-  "proof_ids": [
-    "numina:03c42179-bd8b-5916-9fb2-f139434dc511",
-    "numina:12f7fbce-7e46-5813-b7f9-bab289ba62c4",
-    "numina:4a21c5c1-0375-58f7-b975-5b2f032a0c9f",
-    "numina:53984ebc-239f-5d13-a16b-b880ee288dfd",
-    "numina:81b12dae-9e38-5477-b989-2f5409e338f4"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003600.lean\",\"b3f9b372abbd3491f76c8c6986ca02cfcde1f1c2b15b510fa3b6879c85208417\",0,\"Number_Theory_640343\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003601.lean\",\"3474445daaf32d07f045be3d8b439312d212b2c55a678d786d261ca002cee6d7\",0,\"number_theory_640350\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003602.lean\",\"88f5b6b5af61468127a2d694390b5405163454c48afdca41e7b6fe0cf65834b0\",3,\"number_theory_640357\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003603.lean\",\"f18aff4ec25de8c7992eb6677621f6523cdc20cfe4a98253677852ca6d98694a\",0,\"number_theory_640361\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003604.lean\",\"458eb0348959949eebe5ad427abaa8ded6012ca22d8f50fb95c72f41ffa4dd22\",0,\"number_theory_640373\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000721.json b/manifests/batches/numina/000721.json
index 5047d083c0a8b68a9db7c959bfb593b080a306ca..949c800341ef642fddf93ee406d98438ffdbabc1 100644
--- a/manifests/batches/numina/000721.json
+++ b/manifests/batches/numina/000721.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000721",
   "batch_fingerprint": "d265188673d8935a8fc00b2ba7fdb9d828f409f147ca6b685f567330e31c9327",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000721-0000-5da9439f7bd423ea.parquet",
-      "sha256": "5da9439f7bd423ea7531a11e69aad5cbbf86b3ac3edd1cc2d1856edbb77a2073",
-      "bytes": 321760,
-      "rows": 36,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2a098b2b-9981-5205-98e6-89456752bda6",
     "numina:4874997c-b9d9-502c-a0d9-2e68978b0cf0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003607.lean\",\"1532af540d0acda0401d4d545af1ed17fa1e1282289ca00a6f4c2723aabb6de9\",0,\"eleven_compute\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003608.lean\",\"8f4f06a1047be17bf3797450476a1c10b760a693d96d38b7478cab1cb0070c05\",0,\"number_theory_40428\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003609.lean\",\"868ff71ff4112b5f85fab32225aeaa05390926393cf675d15af5cd1d0a3da8da\",0,\"number_theory_640462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321760,
+      "path": "data/train/p49/numina-000721-0000-5da9439f7bd423ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "5da9439f7bd423ea7531a11e69aad5cbbf86b3ac3edd1cc2d1856edbb77a2073"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000722.json b/manifests/batches/numina/000722.json
index e3c33ecb9809cd9d35f9994523d5e54914932380..c5b8954c7dccb0d445de827567d30043b300b3ef 100644
--- a/manifests/batches/numina/000722.json
+++ b/manifests/batches/numina/000722.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000722",
   "batch_fingerprint": "d329984d81c58910d74a4f87791bdf20153eb00b8488b2fdb2d1e0a3219ca313",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000722-0000-89eaed0c55f6f5d2.parquet",
-      "sha256": "89eaed0c55f6f5d28f399aeb38488de9648cb4345800bca41850f264905a3e14",
-      "bytes": 469165,
-      "rows": 43,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/dev/numina-000722-0000-4c848d265fad2bce.parquet",
-      "sha256": "4c848d265fad2bcefedc97655f451cef0a1076d48c0f63c5d638a668e2a90946",
-      "bytes": 161240,
-      "rows": 9,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:089afa06-8b12-57df-b65e-894ded450ce0",
     "numina:33e3850d-9a39-537d-8a4a-c56d7ddda8bb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003612.lean\",\"b000a76547755fe88e61125dfa303d81f368eb2dfa249f50c199db640994f9ab\",0,\"number_theory_640512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003613.lean\",\"bbd98c9d270ca20a724cafa4d2fb4655deab9e8dceb59ac650b61dd7b7313b3a\",0,\"fermat_number_prime_factors\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003614.lean\",\"93dee7cab02f233b76457263085c904127d1b1ae8fa6527cc0ce0e5e1960ae41\",0,\"number_theory_640534\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 469165,
+      "path": "data/train/p67/numina-000722-0000-89eaed0c55f6f5d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "89eaed0c55f6f5d28f399aeb38488de9648cb4345800bca41850f264905a3e14"
+    },
+    {
+      "bytes": 161240,
+      "path": "data/dev/p67/numina-000722-0000-4c848d265fad2bce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4c848d265fad2bcefedc97655f451cef0a1076d48c0f63c5d638a668e2a90946"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000723.json b/manifests/batches/numina/000723.json
index 11375cc07a72b30511b812c804f7f0e0832d9f20..2eb0e95b03fee232e810bca325e51c5789493c6b 100644
--- a/manifests/batches/numina/000723.json
+++ b/manifests/batches/numina/000723.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000723",
   "batch_fingerprint": "465d3e362038d7f641bdf42b8574dfe4ef530d30a192f6cfe66fe5a78fa002b1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000723-0000-012bed6057487f94.parquet",
-      "sha256": "012bed6057487f946da777aeea75f0e75b36c49e563a95022198975d2ed2e8ef",
-      "bytes": 97486,
-      "rows": 13,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/dev/numina-000723-0000-42a3bf75b664689d.parquet",
-      "sha256": "42a3bf75b664689df7a7d47ba8a61f266243b9d68cd527d729b13d5e09768454",
-      "bytes": 374468,
-      "rows": 8,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/internal_test/numina-000723-0000-d22039793b8ba2ef.parquet",
-      "sha256": "d22039793b8ba2ef7a1ad2a838d1eb98e1f08b56835b3261ef39d81aeafe4c45",
-      "bytes": 38862,
-      "rows": 5,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:103454cc-bf1d-5212-a68e-987ae8bf0179",
     "numina:2bbb384d-62c6-5a62-b59c-a3641a4e163a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003617.lean\",\"f1e829e8b3619e968b141f1f6f1bf9e778bbc26397941c2010212f43604ae11e\",0,\"number_theory_6010101\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003618.lean\",\"d4ddd41c6bdd349d9c4a46c953a4aee60f36a6cdd5bc66efc51b260296c0ba2a\",0,\"number_theory_640586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003619.lean\",\"b9f41d7e7139ac2c885d465102e1bea1f37cbdff03af063707d17bda8d37ad18\",0,\"number_theory_640587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97486,
+      "path": "data/train/p08/numina-000723-0000-012bed6057487f94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "012bed6057487f946da777aeea75f0e75b36c49e563a95022198975d2ed2e8ef"
+    },
+    {
+      "bytes": 374468,
+      "path": "data/dev/p08/numina-000723-0000-42a3bf75b664689d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "42a3bf75b664689df7a7d47ba8a61f266243b9d68cd527d729b13d5e09768454"
+    },
+    {
+      "bytes": 38862,
+      "path": "data/internal_test/p08/numina-000723-0000-d22039793b8ba2ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d22039793b8ba2ef7a1ad2a838d1eb98e1f08b56835b3261ef39d81aeafe4c45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000724.json b/manifests/batches/numina/000724.json
index a5970648de4958b9ac48205434b9de25d5ba1fe2..8ec941ab0b6752536942a24151cabdc61076d48f 100644
--- a/manifests/batches/numina/000724.json
+++ b/manifests/batches/numina/000724.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000724",
   "batch_fingerprint": "0bf3223bf528eb554d52820732baf8c90fe423ed9e0b84dfa12d3fbf0b368eca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000724-0000-85985f6439811dd2.parquet",
-      "sha256": "85985f6439811dd26db3a89ecd036c4334fd0137e4eed33996741f4d3e0306e3",
-      "bytes": 273049,
-      "rows": 25,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11c9e30a-d7ea-58d6-a844-bc37d0574b83",
     "numina:12a366eb-142b-5c0d-ab85-60320df0ca40",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003622.lean\",\"905b34d5508708fcf9aa2136f9a4c98a33c60ff0fa755e16ab6f124fee0269bf\",3,\"number_theory_640612\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003623.lean\",\"35f14849d478f4bc7d0ad648cf8bc4193241d10acf5a330433d8b2c059e1a951\",0,\"number_theory_640613\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003624.lean\",\"480396426f88780ce6233cbc9b1a89eb3e538401e786ba8bc0e2e17d2716d112\",0,\"gcd_fib_succ\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273049,
+      "path": "data/train/p52/numina-000724-0000-85985f6439811dd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "85985f6439811dd26db3a89ecd036c4334fd0137e4eed33996741f4d3e0306e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000725.json b/manifests/batches/numina/000725.json
index 087d3c181f40c9114858342aa93eee7531bd1392..58fe4cc43efa04a0b8b024545f15beca6feb528a 100644
--- a/manifests/batches/numina/000725.json
+++ b/manifests/batches/numina/000725.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000725",
   "batch_fingerprint": "b2f0badcf1da8312840c98ed52c5ae8af2e5b6696fc7b5e448d67c9c9c207591",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000725-0000-20fe06f86b676fa6.parquet",
-      "sha256": "20fe06f86b676fa6c41e99fbdea99a5160a2c40061025ceac90864eb45f60e49",
-      "bytes": 394462,
-      "rows": 44,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6e62118d-e31a-58c3-b7a9-993d99a06c6d",
     "numina:cc811d66-de0b-5bd0-b929-d1a757d23e84",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003627.lean\",\"cfd824ab3478c90f64f6142e2c95e9be887ded8cb59f3b0776e74bd636fe12e7\",0,\"number_theory_640642\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003628.lean\",\"80ac9069b47eea0dd6386f96cafea9b65a327249a1452abe48d64294f16fd15d\",0,\"number_theory_640658\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003629.lean\",\"2304498e02ee86c3c2b03dc3d046bce547963fed18ac9722952783ea458fc711\",1,\"number_theory_640661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394462,
+      "path": "data/train/p35/numina-000725-0000-20fe06f86b676fa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "20fe06f86b676fa6c41e99fbdea99a5160a2c40061025ceac90864eb45f60e49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000726.json b/manifests/batches/numina/000726.json
index 687da6a09ac6ac1dacb1fd545a21c845fbe4e95e..1afc505e03be9ea105e427f09240774cfe5d9bf3 100644
--- a/manifests/batches/numina/000726.json
+++ b/manifests/batches/numina/000726.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000726",
   "batch_fingerprint": "4e6dc971970b64b8d9b0879c67579531af3fb91737f250eafc1cf93c78f42f9b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000726-0000-079e4e1b7b4c3298.parquet",
-      "sha256": "079e4e1b7b4c3298336f589ec47c77675c39628d589f54df961e762f177aa356",
-      "bytes": 212679,
-      "rows": 58,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000726-0000-2f20dab44dbc40a7.parquet",
-      "sha256": "2f20dab44dbc40a782cd891224b1c7d7879dabfdf58a384ec4823af0adf973d4",
-      "bytes": 328819,
-      "rows": 11,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17b29708-fe3d-5d01-88c3-178bff77025e",
     "numina:17fb9561-98cf-56da-a2ba-3abb7931fddd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003632.lean\",\"0c15eeb78ded2149d2c5d46c04368f914b77d5f42252586285845574dec7b49c\",0,\"prime_dvd_even_pow_sum\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003633.lean\",\"5ad4e1841b7bb2c5f527a937c72c7a67b8753d79c17a3f9ac5a5ba9cc3f27807\",0,\"number_theory_640714\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003634.lean\",\"07dd174dcd0ee45307912cc18acee3bbbcabb1b6140f42562bf3306fd819b58a\",0,\"number_theory_640720\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212679,
+      "path": "data/train/p64/numina-000726-0000-079e4e1b7b4c3298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "079e4e1b7b4c3298336f589ec47c77675c39628d589f54df961e762f177aa356"
+    },
+    {
+      "bytes": 328819,
+      "path": "data/internal_test/p64/numina-000726-0000-2f20dab44dbc40a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2f20dab44dbc40a782cd891224b1c7d7879dabfdf58a384ec4823af0adf973d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000727.json b/manifests/batches/numina/000727.json
index 0097dd06ae4c444a816eba27c4256aa33ba09367..725b5da2f6d9954ed27e67d8658ae447181e7de1 100644
--- a/manifests/batches/numina/000727.json
+++ b/manifests/batches/numina/000727.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000727",
   "batch_fingerprint": "9815951f163710eb94451f7d16656cd35ded683e0345ba5f00158ff97f49775a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000727-0000-fa31a2705baf4c93.parquet",
-      "sha256": "fa31a2705baf4c9343654382d7f7a25cee7450209e1c8e1d54df5c432da2aeff",
-      "bytes": 309405,
-      "rows": 35,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/dev/numina-000727-0000-79ea4a101b928cd2.parquet",
-      "sha256": "79ea4a101b928cd22aabba99edd41ee1fac105bc956c4fc631eea636501666fb",
-      "bytes": 53849,
-      "rows": 8,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10130d2f-b22e-525f-9695-56a15f964cb6",
     "numina:45eaae28-4206-598f-b581-7746f8e07b3e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003637.lean\",\"74443ac429a220365bde0f6585926dc0562dec65e5bf9590806ff776961d739a\",0,\"NYD_date_correct\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003638.lean\",\"d80beb8aa578431adcd1674d1f5bf295140b035a0f32497643fd926940914234\",0,\"number_theory_640756\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003639.lean\",\"910e74f1b3505d86d295e7a56345ab89fe67921cb0116f5201f356989abf92a2\",0,\"number_theory_640769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309405,
+      "path": "data/train/p04/numina-000727-0000-fa31a2705baf4c93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "fa31a2705baf4c9343654382d7f7a25cee7450209e1c8e1d54df5c432da2aeff"
+    },
+    {
+      "bytes": 53849,
+      "path": "data/dev/p04/numina-000727-0000-79ea4a101b928cd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "79ea4a101b928cd22aabba99edd41ee1fac105bc956c4fc631eea636501666fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000728.json b/manifests/batches/numina/000728.json
index f9c42dd24512512686154d6d24eddf255d425afc..58afc6d15430d0ed1285d577bfa227d7e9445558 100644
--- a/manifests/batches/numina/000728.json
+++ b/manifests/batches/numina/000728.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000728",
   "batch_fingerprint": "651f397699a6f6a420f1586904450f95ae440d537d16adef88898378ed5ab078",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000728-0000-6ba3356af588d0c5.parquet",
-      "sha256": "6ba3356af588d0c52dfb2b9cd6a5a1b03d434006ad99217231c80329d594c8a9",
-      "bytes": 201302,
-      "rows": 31,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000728-0000-e87597b72e61d43f.parquet",
-      "sha256": "e87597b72e61d43f215bb10e7d1f37f93e4c563db182795f3d9c4629e598e36a",
-      "bytes": 148675,
-      "rows": 9,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10ed1183-47b4-51b4-b581-c56a65b6d563",
     "numina:25071e7d-b7b9-538e-8be9-eae5329523cb",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003642.lean\",\"a14ae9c3b94659ef0b16c1852d69af768658fbc1acafca83fe141aad87e8b973\",1,\"number_theory_640801\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003643.lean\",\"0b4cc4113f0ea8e4bef8dc5aa592b3a44147257769b1817e7d2aa31721a40197\",0,\"number_theory_640815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003644.lean\",\"bcb193e1c66e8699d29745ae780b9edaf270a9148509b3c3a33a10e0e7b0cbd4\",0,\"algebra_640824\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201302,
+      "path": "data/train/p33/numina-000728-0000-6ba3356af588d0c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "6ba3356af588d0c52dfb2b9cd6a5a1b03d434006ad99217231c80329d594c8a9"
+    },
+    {
+      "bytes": 148675,
+      "path": "data/internal_test/p33/numina-000728-0000-e87597b72e61d43f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e87597b72e61d43f215bb10e7d1f37f93e4c563db182795f3d9c4629e598e36a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000729.json b/manifests/batches/numina/000729.json
index 4ec33641f1d8512af5927faa92c1927e90707467..42e6cc42acceb12b01536e32a27af8da3d6e400d 100644
--- a/manifests/batches/numina/000729.json
+++ b/manifests/batches/numina/000729.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000729",
   "batch_fingerprint": "29ebc3f5cfee5961d5e7ae552d1ad94cdc547b6c3438c446e3536de9bbc03d68",
   "evidence": {
@@ -48,15 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000729-0000-17175db1169d8136.parquet",
-      "sha256": "17175db1169d8136292be8cc20c37bd91049a1097b304f54b4b0c3e2726ffde9",
-      "bytes": 508858,
-      "rows": 19,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03e5ba86-b070-55b4-ba89-feb5791e4e16",
     "numina:be1f3219-7000-5056-9d84-7753ded33bb3",
@@ -68,5 +59,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003646.lean\",\"70e68d83577a4bc12426321439a92e76739025d71375de837ed00a6a0648fc60\",2,\"number_theory_640843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003648.lean\",\"4a2a6a9af1d8801dc718b3c2fd35ff6a82e09317fac3332136672faf0244a95b\",0,\"number_theory_640853\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003649.lean\",\"d88d23ce8bee6452937a269c5866b4b7f84e93f0abc955878d3f072011f83c03\",0,\"number_theory_640866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 508858,
+      "path": "data/train/pd7/numina-000729-0000-17175db1169d8136.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "17175db1169d8136292be8cc20c37bd91049a1097b304f54b4b0c3e2726ffde9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000730.json b/manifests/batches/numina/000730.json
index a426543f54190a345b8f92076b0a0315863219f2..ba8e6240167a47bb7a4ca6e004aad6655acf6f55 100644
--- a/manifests/batches/numina/000730.json
+++ b/manifests/batches/numina/000730.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000730",
   "batch_fingerprint": "2934a2ca142bca352dcaa22c29a516f63efc939c56bba3716377193680f0ea85",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000730-0000-7b8f63a6e66ad5d8.parquet",
-      "sha256": "7b8f63a6e66ad5d884a30f30319ecd6eb2e1288ec7fec8ffc3cc5cd7efbb4388",
-      "bytes": 251002,
-      "rows": 22,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/dev/numina-000730-0000-fa574f9f582729d8.parquet",
-      "sha256": "fa574f9f582729d8d4d7e054e5390baafd28fd98437bfe9ba2c417b51eb334c6",
-      "bytes": 54715,
-      "rows": 12,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:354863a4-bd06-56cf-8ecb-1dacaddd0c92",
     "numina:488364fe-1502-5561-b8fa-d8c3a8a28756",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003652.lean\",\"eb1e6a88abb83b16709149a8f3eca5e9c021e5fbd36377128fee99563a7f9403\",0,\"number_theory_640904\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003653.lean\",\"cbb5ba179110ad500d2304391c018d7004843adffb1e17debf3eef1432159baa\",5,\"number_theory_640918\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003654.lean\",\"e457e3ca22dcdf0a0f20974957fcf99ef38c7de4ce124617633c2a476e567701\",0,\"number_theory_640926\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251002,
+      "path": "data/train/pc0/numina-000730-0000-7b8f63a6e66ad5d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7b8f63a6e66ad5d884a30f30319ecd6eb2e1288ec7fec8ffc3cc5cd7efbb4388"
+    },
+    {
+      "bytes": 54715,
+      "path": "data/dev/pc0/numina-000730-0000-fa574f9f582729d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "fa574f9f582729d8d4d7e054e5390baafd28fd98437bfe9ba2c417b51eb334c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000731.json b/manifests/batches/numina/000731.json
index f86cb8e16437349f5a143167ebf7c2807b2fd98a..965745ae655fa4d7fc943b871eaaa7b4d3beffae 100644
--- a/manifests/batches/numina/000731.json
+++ b/manifests/batches/numina/000731.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000731",
   "batch_fingerprint": "34f0fe876dedd553ebb643c28311ec4a28c00714ad4b12fd99eeef95449ccac7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000731-0000-13f0a96e380b38c9.parquet",
-      "sha256": "13f0a96e380b38c97db312687ee734f3e297f9a15e8a4fae1618ba3e6300c372",
-      "bytes": 543192,
-      "rows": 48,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/dev/numina-000731-0000-2ff26b95b7703db3.parquet",
-      "sha256": "2ff26b95b7703db3834875c3707db0fd90920735db1b064e1e66a2fd2054ebe7",
-      "bytes": 184368,
-      "rows": 24,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0425f637-b0cd-5a74-adc6-9d5b4d55329b",
     "numina:6d374016-95d1-5e5d-a632-619732495e41",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003657.lean\",\"240d04f11b4dd774aeaf7912ee9fb9f14873dad7766e5f3a7e6061f5e0557b5b\",0,\"algebra_640988\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003658.lean\",\"c9204d096a3f3b2b1bc184d232905b63142bbcec684e25617193e274108a5ab3\",0,\"prime_dvd_geom_quotient\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003659.lean\",\"d2b72b4b38a5c9b8e6004e8dc1b0f4ecd2ddda0865c7cb0a17c1b8c35f73d27c\",0,\"number_theory_641048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543192,
+      "path": "data/train/p69/numina-000731-0000-13f0a96e380b38c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "13f0a96e380b38c97db312687ee734f3e297f9a15e8a4fae1618ba3e6300c372"
+    },
+    {
+      "bytes": 184368,
+      "path": "data/dev/p69/numina-000731-0000-2ff26b95b7703db3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2ff26b95b7703db3834875c3707db0fd90920735db1b064e1e66a2fd2054ebe7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000732.json b/manifests/batches/numina/000732.json
index 7fcc375f590b35d5a000600574f3b7cb844bd76c..e2413c529dba2b47f45b1b387920fdaf9e7f2d12 100644
--- a/manifests/batches/numina/000732.json
+++ b/manifests/batches/numina/000732.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000732",
   "batch_fingerprint": "ac97ac69894fb57d143b18e33ca71b2084b820fde9e54a9385048000201b55b1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000732-0000-af43e71e67ed3630.parquet",
-      "sha256": "af43e71e67ed3630621ea46f34ed52e62774e49276295613e244b469cf302077",
-      "bytes": 75014,
-      "rows": 20,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    },
-    {
-      "path": "data/internal_test/numina-000732-0000-576c71db88b91ca9.parquet",
-      "sha256": "576c71db88b91ca948412dadbca190a542b0ea112b401937c636a1f4be3a55a8",
-      "bytes": 55022,
-      "rows": 11,
-      "revision": "3ee3174afb48e3f531e47fc6ad1c41dd812977ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2e99b7d6-772c-599a-9e10-1287d85c3f0d",
     "numina:3e897b01-b2d5-5320-81a1-461a24ac9e7d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003662.lean\",\"11bbe28a66856debe5b89c6eadda99afc751167b1f7f8ce94587b938c4175bc7\",0,\"number_theory_641069\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003663.lean\",\"e2374a0302f9bd83f8a3b1030275ee7962e314fd73e473dd4aa3a4e6b4657c0c\",0,\"algebra_641075\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003664.lean\",\"d0554fc86dca76e0362db8b9c77f25774d36d90a3a807d6c8ea30b914d420eac\",0,\"algebra_641084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75014,
+      "path": "data/train/pb8/numina-000732-0000-af43e71e67ed3630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "af43e71e67ed3630621ea46f34ed52e62774e49276295613e244b469cf302077"
+    },
+    {
+      "bytes": 55022,
+      "path": "data/internal_test/pb8/numina-000732-0000-576c71db88b91ca9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "576c71db88b91ca948412dadbca190a542b0ea112b401937c636a1f4be3a55a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000733.json b/manifests/batches/numina/000733.json
index dba53d28dc37153fbb73aa2f93bc8ebd2d37ab67..786a4a8b90bccd97d976e00840201eab19481136 100644
--- a/manifests/batches/numina/000733.json
+++ b/manifests/batches/numina/000733.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000733",
   "batch_fingerprint": "172d247bf4581d9baa424b1bce428f7bb355d71b25ff0f969cce8e8280125e1b",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000733-0000-d62c7c2d0a883e83.parquet",
-      "sha256": "d62c7c2d0a883e83d50d56cdc99abd573f607e5d2207f4a8d636a98c84698040",
-      "bytes": 180223,
-      "rows": 10,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/dev/numina-000733-0000-6a4d5a5702caa4a9.parquet",
-      "sha256": "6a4d5a5702caa4a9e4aa2a7ddf3ac101e08d4b6b24870f9e47bbe08ae095540c",
-      "bytes": 161877,
-      "rows": 5,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/internal_test/numina-000733-0000-e74bd482c649aa3d.parquet",
-      "sha256": "e74bd482c649aa3ddc4f47496aa157096542c6514ecb79bce1cd7befe901a861",
-      "bytes": 672442,
-      "rows": 15,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41303784-2992-52c3-a5fb-0efe447847e3",
     "numina:5b4d1412-a6da-5d81-ba23-566e41c73051",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003667.lean\",\"1921e25b65af8f27abb0fbe4d5fc0d2578f0e5388e1a09a934a39d77f81a5f26\",0,\"number_theory_641097\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003668.lean\",\"16a168d0a1d7c0a06c26991238745d0ee29a810681dc4478d2fdac884f1006e0\",2,\"number_theory_641120\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003669.lean\",\"5842a8fef0932e0a0945f19a0c7c93c505c2784271a3230c71b7c5e3930f7816\",0,\"number_theory_641121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180223,
+      "path": "data/train/pa8/numina-000733-0000-d62c7c2d0a883e83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d62c7c2d0a883e83d50d56cdc99abd573f607e5d2207f4a8d636a98c84698040"
+    },
+    {
+      "bytes": 161877,
+      "path": "data/dev/pa8/numina-000733-0000-6a4d5a5702caa4a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6a4d5a5702caa4a9e4aa2a7ddf3ac101e08d4b6b24870f9e47bbe08ae095540c"
+    },
+    {
+      "bytes": 672442,
+      "path": "data/internal_test/pa8/numina-000733-0000-e74bd482c649aa3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e74bd482c649aa3ddc4f47496aa157096542c6514ecb79bce1cd7befe901a861"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000734.json b/manifests/batches/numina/000734.json
index 0f8586d48ba4d04d128e3c37960da8e5c0fe6d99..9e1fd15b4c2f8bc2f4aeaf3464962a123c7ec3fb 100644
--- a/manifests/batches/numina/000734.json
+++ b/manifests/batches/numina/000734.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000734",
   "batch_fingerprint": "cd393b477c40b730ed907e96806723fb7ae0036312cdfa981828e2117f618112",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000734-0000-c3640b60a9f7d3c0.parquet",
-      "sha256": "c3640b60a9f7d3c03d8d5f2f0b4f86e2cfd45c9cb281b2d6f5db0236da091437",
-      "bytes": 471626,
-      "rows": 71,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fc19330-0cb0-5e26-ad8a-134f16292b02",
     "numina:2bd3a800-92b6-5411-99fd-5ad45e19350e",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003672.lean\",\"6c86b0a5fe04efbce0478f2271844ce4cac64e7df92f5f42437593ccef75cd59\",0,\"number_theory_641149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003673.lean\",\"dd363faf3bc145068fcb470aa100d8ee707febd15dce3bac625087c51b68d156\",0,\"number_theory_641162\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003674.lean\",\"3652b2810da1379213b95e5289a3a0fa43c54c74012d26efadb5d9ef650e3b77\",0,\"nubmer_theory_641164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471626,
+      "path": "data/train/p01/numina-000734-0000-c3640b60a9f7d3c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "c3640b60a9f7d3c03d8d5f2f0b4f86e2cfd45c9cb281b2d6f5db0236da091437"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000735.json b/manifests/batches/numina/000735.json
index f21729662d157a42fe409974adc43342bb9d0520..33e0d8ae65111088555966ac0c0ec27e0de956bf 100644
--- a/manifests/batches/numina/000735.json
+++ b/manifests/batches/numina/000735.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000735",
   "batch_fingerprint": "97bc8205c66cd0fc8ec0f40bcc7183ba80a5f6ee12b3989bbae417c088468014",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000735-0000-f3799e9b9c71e223.parquet",
-      "sha256": "f3799e9b9c71e2231c3301ee8ea9110ecbea192cfdec6faeeae3e03aab623f65",
-      "bytes": 645660,
-      "rows": 72,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21377f31-0b2a-55fe-9459-186a2010a63b",
     "numina:2e036627-aca7-5882-bffe-f1256e6b1471",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003677.lean\",\"2bed786d6f177efffb41c7ef76d188d020fb6527e213e91729b8bdc0819d1593\",0,\"factorial_mod_half\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003678.lean\",\"a76d7030c14c15aa8c65c05ab37d9d23596da74924731d5b64e08a3f90edd572\",0,\"number_theory_641225\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003679.lean\",\"27767c6be548b6200c643472040ea9835e8e08e25d39c88bf812b49e033a30ca\",0,\"number_theory_641227\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 645660,
+      "path": "data/train/p90/numina-000735-0000-f3799e9b9c71e223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 72,
+      "sha256": "f3799e9b9c71e2231c3301ee8ea9110ecbea192cfdec6faeeae3e03aab623f65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000736.json b/manifests/batches/numina/000736.json
index 80eb24cf527301d79b735bb38ae33667b07d7e12..854b5b2ae179fe3cf46b34a3c4a8737348bc34b1 100644
--- a/manifests/batches/numina/000736.json
+++ b/manifests/batches/numina/000736.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000736",
   "batch_fingerprint": "45f28c7add27749c113b81ddecc1af388abf1296567faaa762621d5f3766d125",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000736-0000-8b047651d3ae0f52.parquet",
-      "sha256": "8b047651d3ae0f52c774c4466b3549e334937b77ceb95c6b0ce42112e85a1d72",
-      "bytes": 374989,
-      "rows": 60,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:301c1594-41db-5c65-a23e-b09356ab5628",
     "numina:5a192ba9-7bf7-5cd8-b373-6545919f49e5",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003682.lean\",\"cce2cdcabaff3e984b0ef85456d69cf24709e20ff1c053fa448c92bc4cbaea6f\",3,\"number_theory_641249\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003683.lean\",\"2c38b77c43ddf6e786612eaa4df327141f72314c2186981c72863e92b5c12c48\",0,\"number_theory_641275\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003684.lean\",\"007498bcff310380265ede7dba910afe8bcf09a44b0cb52335073579a27e9aa9\",1,\"number_theory_641307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374989,
+      "path": "data/train/p5d/numina-000736-0000-8b047651d3ae0f52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "8b047651d3ae0f52c774c4466b3549e334937b77ceb95c6b0ce42112e85a1d72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000737.json b/manifests/batches/numina/000737.json
index 7db331e5993c6357c1676e296428b0415ad0d1a1..98c717e16702c7f07b5bc4e4faf7d929dd6d6418 100644
--- a/manifests/batches/numina/000737.json
+++ b/manifests/batches/numina/000737.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000737",
   "batch_fingerprint": "3ce2aa60912ce9587fa5b1cfcacc504b16899183fa21fff09bc1a000cdb5b492",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000737-0000-914d322e69d89a90.parquet",
-      "sha256": "914d322e69d89a906a92c93f02292212771b25544f40b7cf9a1dc1db604756f1",
-      "bytes": 436105,
-      "rows": 28,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    },
-    {
-      "path": "data/internal_test/numina-000737-0000-4f822b5bf5f36517.parquet",
-      "sha256": "4f822b5bf5f365173ac47ad6fb43c94349a2e1a459bc989e743d1c1dffe7467a",
-      "bytes": 93562,
-      "rows": 5,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0977fbfe-380e-57a4-84a6-ee8d17bc8a06",
     "numina:5224ecc8-e9ac-5e7c-a67e-c0a48136df26",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003687.lean\",\"2b29386190d04546898edf90a07cb54b4a538c00af80178b6971d4cccdcc2ef8\",0,\"number_theory_641334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003688.lean\",\"026dc03f415ee44b6800dfaba7e4f5b2243fa985b0aa80bd507ad4f6d22423b7\",0,\"algebra_641342\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003689.lean\",\"aea7526d8fba67c2b994b2873ead08c03c375f55084ea1e7a69982132f1fac7b\",0,\"number_theory_641346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436105,
+      "path": "data/train/pb7/numina-000737-0000-914d322e69d89a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "914d322e69d89a906a92c93f02292212771b25544f40b7cf9a1dc1db604756f1"
+    },
+    {
+      "bytes": 93562,
+      "path": "data/internal_test/pb7/numina-000737-0000-4f822b5bf5f36517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4f822b5bf5f365173ac47ad6fb43c94349a2e1a459bc989e743d1c1dffe7467a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000738.json b/manifests/batches/numina/000738.json
index 67a2f231efd34cda88b6fae7f0f77b21037097f1..413b64ee45cbe34f7da36255fb4d75b9e21ce937 100644
--- a/manifests/batches/numina/000738.json
+++ b/manifests/batches/numina/000738.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000738",
   "batch_fingerprint": "41972e159e5fa680969d45934574dae7883f79087060245ddf81d6fe5ebca867",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000738-0000-b720c1f2d8455346.parquet",
-      "sha256": "b720c1f2d8455346d73fe2cbc34d75162568837a2f5ea3bdffd68d8a459cbdc9",
-      "bytes": 381310,
-      "rows": 45,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c0cfc88-922f-57eb-9b80-e81eb9c31bfc",
     "numina:1e048571-66f5-588a-9ccf-c0787d526530",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003692.lean\",\"d050e54478ff95732b3dced3dad3e5d45820e59b7441c4209a175e0ab6530f2c\",0,\"number_theory_641391\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003693.lean\",\"4202f719c2e78f5ba81143a0858579f290d94adb4e9302a04208790a93d969c9\",0,\"number_theory_641399\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003694.lean\",\"f8d783eabe20918f412cfca9870237bc80ffbd7379405e593756ff935e5a5454\",0,\"Number_Theory_641407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381310,
+      "path": "data/train/p0f/numina-000738-0000-b720c1f2d8455346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "b720c1f2d8455346d73fe2cbc34d75162568837a2f5ea3bdffd68d8a459cbdc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000739.json b/manifests/batches/numina/000739.json
index 844e1945107282b84528cf813901879830b06da6..268d23563901c0b8c99aa4e955fd7b82b2dc8c64 100644
--- a/manifests/batches/numina/000739.json
+++ b/manifests/batches/numina/000739.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000739",
   "batch_fingerprint": "c3030c50ead0463ce8b179c00ed3a660b91155e809da4ddf8b70a45f32ad19c2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000739-0000-c1bf9bb63064670a.parquet",
-      "sha256": "c1bf9bb63064670a82a488aa107a9906a2287c76a7b947525009e14f1555c4be",
-      "bytes": 616836,
-      "rows": 50,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f97ca3a-806c-5ad9-a989-a7976ec57594",
     "numina:36db6d59-d6ce-50c6-a013-e791134321a0",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003697.lean\",\"6622de616c2572305807f26345a4e6786caf82cc03cf17940e0633deb6449570\",0,\"number_theory_641421\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003698.lean\",\"34eca8762e8af13fc0c54e52c7ebf54082c9e8caf86c40640006f757d6430456\",3,\"number_theory_641429\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003699.lean\",\"44d99d1f2596505f36ce52e073f527fd799cb82b35edcf16c812aa6fde14b678\",0,\"number_theory_641431\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 616836,
+      "path": "data/train/p74/numina-000739-0000-c1bf9bb63064670a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "c1bf9bb63064670a82a488aa107a9906a2287c76a7b947525009e14f1555c4be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000740.json b/manifests/batches/numina/000740.json
index a6edc9a976f9b1ac7ada7b06262865479c9b78c7..a3a50ba4963d8ed22aa04a724e66e8f11431fdf4 100644
--- a/manifests/batches/numina/000740.json
+++ b/manifests/batches/numina/000740.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000740",
   "batch_fingerprint": "1c4b980ecd13a126b0e3be1719885fe85db476374059b461e3365ecc9dbb2d09",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000740-0000-a4af57daaa24cb16.parquet",
-      "sha256": "a4af57daaa24cb16047387a426e2fff96e352b4763e605925d01f61b4567aaab",
-      "bytes": 433230,
-      "rows": 49,
-      "revision": "bbabb97159ccda7832ac39a474d1fdc0de9aa1fc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f734066-d7bc-5084-b2fe-86df7801a057",
     "numina:bb6d4f30-c436-50d5-ab6a-a42baf8774ba",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003702.lean\",\"5940e7ac6dcd0abd812547697322127d9b2e20689b44083e6c399be5cb840f10\",0,\"number_theory_641444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003703.lean\",\"62117b398bb3759ee1548a77a6303217798b69a0a833246774ea211a30d7c51c\",0,\"number_theory_641466\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003704.lean\",\"5edaf37e0d9bd8deaf8a75a131a6d7d74687a27dc736a53c00d403479870d12a\",0,\"number_theory_641472\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433230,
+      "path": "data/train/pea/numina-000740-0000-a4af57daaa24cb16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "a4af57daaa24cb16047387a426e2fff96e352b4763e605925d01f61b4567aaab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000741.json b/manifests/batches/numina/000741.json
index b68186c44df97d8a905d24e77d36268245e268cb..18d719abcc5981067752283fb1f619fcc1eb5bb4 100644
--- a/manifests/batches/numina/000741.json
+++ b/manifests/batches/numina/000741.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000741",
   "batch_fingerprint": "72a7194f2da4ba56387da7d315ea3053fefe17bf8a106a88ec9156c9fef2c7de",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000741-0000-4862a3c43e351d5a.parquet",
-      "sha256": "4862a3c43e351d5a5f7fcf793d4206afe22fdc516c7313f8d0c0308609cc778e",
-      "bytes": 435035,
-      "rows": 46,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34f38b67-7b56-5d68-a96f-a532ff5c5e6b",
     "numina:e8b66213-9e98-5f04-bd5c-0871fa1c58a1",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003707.lean\",\"856ec164bcfc20963dae9fa85541fe5e1c95b73158df5fad550a6a9208ee6d7c\",0,\"number_theory_641539\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003708.lean\",\"0764456feb38918766d98dab7e1736b4f6f77c5d4da33d7c8801132642a4598a\",0,\"number_theory_641542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003709.lean\",\"fd6bdb03c412ce4bb8a8364bc331953a772f99f90f24e534ca22fc9be61cab43\",0,\"number_theory_641575\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435035,
+      "path": "data/train/p2b/numina-000741-0000-4862a3c43e351d5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "4862a3c43e351d5a5f7fcf793d4206afe22fdc516c7313f8d0c0308609cc778e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000742.json b/manifests/batches/numina/000742.json
index 6be09e55ab8b96c7b860cfdbb68226af3e5ba7cd..1a9393f607efc27edd31764eb26f15e611dbd599 100644
--- a/manifests/batches/numina/000742.json
+++ b/manifests/batches/numina/000742.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000742",
   "batch_fingerprint": "c3ccd9ccd986f9b74dff5b5cc4b4d9c46f2d1164e8ba62d8a1a398a7921f50bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000742-0000-da6dc58653a9c510.parquet",
-      "sha256": "da6dc58653a9c5109da61c945269142324fcfa6691004d14fe6422f8989c70df",
-      "bytes": 177904,
-      "rows": 30,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/internal_test/numina-000742-0000-ce42402682f38446.parquet",
-      "sha256": "ce42402682f38446ea3adacdf7b032979a8acd4c5d37d80a9e46cbcba543c587",
-      "bytes": 93802,
-      "rows": 9,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a2fe3ea-6e67-563d-bd9a-c169bed6d8ed",
     "numina:84212de9-c91f-5bed-abd8-9d95ffcfed29",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003712.lean\",\"72e0d293af3db6a3543926e8d28544a6128a6bb230565111853572849d90338a\",0,\"algebra_641591\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003713.lean\",\"b39a4115e69ad69895af22f621a59586f2318e8452e14a62682a2129b14631a4\",2,\"number_theory_641592\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003714.lean\",\"3434fc0af0e6d00d00a0454189a4df6ee384a7d98be663c29878f5ff25b74a9f\",0,\"number_theory_641593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177904,
+      "path": "data/train/pa6/numina-000742-0000-da6dc58653a9c510.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "da6dc58653a9c5109da61c945269142324fcfa6691004d14fe6422f8989c70df"
+    },
+    {
+      "bytes": 93802,
+      "path": "data/internal_test/pa6/numina-000742-0000-ce42402682f38446.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ce42402682f38446ea3adacdf7b032979a8acd4c5d37d80a9e46cbcba543c587"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000743.json b/manifests/batches/numina/000743.json
index e2f5a16490eb55a418d0bb7295e4157c5469d782..f209f03a0fb6c0e4a849ba24609aab89e353142e 100644
--- a/manifests/batches/numina/000743.json
+++ b/manifests/batches/numina/000743.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000743",
   "batch_fingerprint": "5a0721cafe2bd9689ee8e422ed0b1c6b3ab1a0762dec4a478433564fe34858d2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000743-0000-db305a5cbb617569.parquet",
-      "sha256": "db305a5cbb617569cc40522cbfed88fbc9d9fd5ec743cbc7194fa6c828109c71",
-      "bytes": 505337,
-      "rows": 42,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/dev/numina-000743-0000-4a78081ccbf388a2.parquet",
-      "sha256": "4a78081ccbf388a228cdc6d4086239511f4a629c9e14e0e5e296ebae95450bee",
-      "bytes": 152860,
-      "rows": 7,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/internal_test/numina-000743-0000-d37ef43a03688cfe.parquet",
-      "sha256": "d37ef43a03688cfef3ac42bf058fc5093d206e5fe1f0cb9450b628a4329a663f",
-      "bytes": 113106,
-      "rows": 4,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:038b86c4-fae2-535c-b465-60d2f844965e",
     "numina:2df59b98-6c9b-5128-be3d-fefb5a30d57d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003717.lean\",\"befd29f2fcc407aafc66bba677c857c2775c34adbe1c78b47dd579dcafc9a843\",0,\"number_theory_641627\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003718.lean\",\"6cd8fa6f484f30cdc78bf9e93d75d37eae6afbae573264c6fea7a1c3e597aff2\",0,\"Number_Theory_641629\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003719.lean\",\"552e08ad8fb8d00da85bb0ac47f698fcc02c2e7fc6d999b50384ee0c8b59325c\",0,\"number_theory_641639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 505337,
+      "path": "data/train/p59/numina-000743-0000-db305a5cbb617569.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "db305a5cbb617569cc40522cbfed88fbc9d9fd5ec743cbc7194fa6c828109c71"
+    },
+    {
+      "bytes": 152860,
+      "path": "data/dev/p59/numina-000743-0000-4a78081ccbf388a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4a78081ccbf388a228cdc6d4086239511f4a629c9e14e0e5e296ebae95450bee"
+    },
+    {
+      "bytes": 113106,
+      "path": "data/internal_test/p59/numina-000743-0000-d37ef43a03688cfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d37ef43a03688cfef3ac42bf058fc5093d206e5fe1f0cb9450b628a4329a663f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000744.json b/manifests/batches/numina/000744.json
index 070ccba6618b04217bc6092dc75328c17f60b78d..33f920f5014a850bc35d5838fed8489acbbeb09f 100644
--- a/manifests/batches/numina/000744.json
+++ b/manifests/batches/numina/000744.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000744",
   "batch_fingerprint": "148efbcf1845bcdc08fbf1ff3d6bd60df6a156ac800af6bc010a363da149bd23",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000744-0000-a57786e9b45d9dba.parquet",
-      "sha256": "a57786e9b45d9dbad6d222d16a319c8d6654929e54795266c9e3809d8437e36a",
-      "bytes": 717935,
-      "rows": 73,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1213fb56-1a59-5e76-b2b3-1dc18f6187b9",
     "numina:582ec691-1168-5b8c-88fd-2e3d83194340",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003721.lean\",\"4ee5869010ab0acd5ca3690dd96913600e2ec3075ee3d57db2c262d6977e598f\",0,\"number_theory_641653\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003722.lean\",\"f1e81d7890238200531aedaca7d125dd13d0da980cf521c1e4ba3f29951f89b0\",2,\"number_theory_641659\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003723.lean\",\"75d4f7a0c9fa95e48e946adbc4aaa892abc0f324c3f6ed0cbd66dbf0c6a6bb2b\",4,\"number_theory_641689\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 717935,
+      "path": "data/train/pce/numina-000744-0000-a57786e9b45d9dba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "a57786e9b45d9dbad6d222d16a319c8d6654929e54795266c9e3809d8437e36a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000745.json b/manifests/batches/numina/000745.json
index fa634ee03f6f0de010b8235d4c86f13e84d918db..b4cb8f59517266ed3f1dc5d0bee15c557801638d 100644
--- a/manifests/batches/numina/000745.json
+++ b/manifests/batches/numina/000745.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000745",
   "batch_fingerprint": "7c54b8cbc6da2bb398f820b2317fccf0d2fe58d00fa47582e423c278a2ddbf09",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000745-0000-a40ca09b86536f5b.parquet",
-      "sha256": "a40ca09b86536f5bf6aa51171b9d2718b39e896c10ac4ba8a301ba23538166e8",
-      "bytes": 344300,
-      "rows": 33,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2cd376ff-5d61-51dd-96cb-9343a841a7c7",
     "numina:8f307b25-d2ce-5296-b126-8d2f70785967",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003726.lean\",\"3dfb51ca5dd5fc23217b8ed2b0f98dc746d0bfc4ec6d98e4a77dd74560c53603\",0,\"algebra_641706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003728.lean\",\"ef8be2eb3fd2492f7e669450a95d24b442f456f9a6e7bf7376262faf24c797ae\",2,\"number_theory_641727\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003729.lean\",\"c7f90660195c0995c088bdcfba621a8f864d7765bfa0e621c0de027af37dd80e\",0,\"number_theory_641735\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344300,
+      "path": "data/train/p8b/numina-000745-0000-a40ca09b86536f5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a40ca09b86536f5bf6aa51171b9d2718b39e896c10ac4ba8a301ba23538166e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000746.json b/manifests/batches/numina/000746.json
index 9becbae5fa44745fcc0b7d9940803fbf8fee549e..4db3666938325d0fcf8fb6d023a37db5449835a0 100644
--- a/manifests/batches/numina/000746.json
+++ b/manifests/batches/numina/000746.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000746",
   "batch_fingerprint": "bbbb271cab18c3412e6daeffc424d1bcaf4ab636227274c8d81b8591e04cde70",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000746-0000-91199d368b59d038.parquet",
-      "sha256": "91199d368b59d0380c5c85db81a5266ce21bb62f8f17a8ac7b0d57c7cbe23155",
-      "bytes": 460886,
-      "rows": 70,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/dev/numina-000746-0000-8602ddd85879fd02.parquet",
-      "sha256": "8602ddd85879fd02a422c8735fc82198a8b4e643d04a2e206f0b0d861107feb0",
-      "bytes": 65491,
-      "rows": 17,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/internal_test/numina-000746-0000-7b677be6c270e551.parquet",
-      "sha256": "7b677be6c270e5515bfe9a820e5a47162bdd598e3867cd79c697d991e548bf4d",
-      "bytes": 44496,
-      "rows": 8,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05113f0f-ae57-553c-8d89-c6bed3af6772",
     "numina:621b1c6e-b113-5d50-a35c-a1bc71850743",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003732.lean\",\"a2d0e901cc5b5a62cae8d796bee6c278a5d11803281dc5fef852425348ecdbce\",0,\"algebra_20005\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003733.lean\",\"b72199849a94a8c848fb3aad488b68a36369a171d0c10e6e7755486cb3238391\",0,\"number_theory_641816\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003734.lean\",\"5026af87cc348f2985c0edc67cf37280f067dd31f4e97075a7391bfe4552a06f\",1,\"number_theory_641820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 460886,
+      "path": "data/train/p90/numina-000746-0000-91199d368b59d038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "91199d368b59d0380c5c85db81a5266ce21bb62f8f17a8ac7b0d57c7cbe23155"
+    },
+    {
+      "bytes": 65491,
+      "path": "data/dev/p90/numina-000746-0000-8602ddd85879fd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8602ddd85879fd02a422c8735fc82198a8b4e643d04a2e206f0b0d861107feb0"
+    },
+    {
+      "bytes": 44496,
+      "path": "data/internal_test/p90/numina-000746-0000-7b677be6c270e551.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7b677be6c270e5515bfe9a820e5a47162bdd598e3867cd79c697d991e548bf4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000747.json b/manifests/batches/numina/000747.json
index 9b925f7a26d7deba6a176b3b85ae841af562e81c..03fcb51a6e362116e71afba64d5d05a586f6432e 100644
--- a/manifests/batches/numina/000747.json
+++ b/manifests/batches/numina/000747.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000747",
   "batch_fingerprint": "c3c9c3485b43f9b699c51a865392d3324c125c86fa0abfede3b00caa7933672e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000747-0000-baa845aaaf1d9aae.parquet",
-      "sha256": "baa845aaaf1d9aaee016e516c2dc692192f17de354bb646711bed4bcfeee48f0",
-      "bytes": 494336,
-      "rows": 28,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/internal_test/numina-000747-0000-cf286941d0cba322.parquet",
-      "sha256": "cf286941d0cba322f6ea165cf0a2d089a9ec2e00b14ecab6c84913241290c8d1",
-      "bytes": 212018,
-      "rows": 15,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:032404bd-c259-57f9-af04-d3dab5a308c4",
     "numina:1d344dbb-bf76-544e-9b16-c4b86ab82066",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003737.lean\",\"a5abfcd0d3df3a03001fbe60f44d5949ca34390e9c780ae7206c27985a4cf409\",0,\"number_theory_641855\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003738.lean\",\"2a95acfdc2c4c01a09d67a20356d80a0a32b0b5cfc20084c88555f2ada498681\",0,\"number_theory_641870\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003739.lean\",\"374edde22b7a39bbc9bf9e00f0ea720e74443001f425caed4e5934d6c0804f62\",0,\"number_theory_641878\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 494336,
+      "path": "data/train/pf7/numina-000747-0000-baa845aaaf1d9aae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "baa845aaaf1d9aaee016e516c2dc692192f17de354bb646711bed4bcfeee48f0"
+    },
+    {
+      "bytes": 212018,
+      "path": "data/internal_test/pf7/numina-000747-0000-cf286941d0cba322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "cf286941d0cba322f6ea165cf0a2d089a9ec2e00b14ecab6c84913241290c8d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000748.json b/manifests/batches/numina/000748.json
index 6f72121030831755c1d26652f446278d68c20cd1..4af3702ba063bebfdd6f1f5dc0e5a20e929c885e 100644
--- a/manifests/batches/numina/000748.json
+++ b/manifests/batches/numina/000748.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000748",
   "batch_fingerprint": "5fb2a49f9c69e86125d2cf796838160067445cc26d935d3eac5158f96f11ec44",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000748-0000-e5ea64d4a38567d4.parquet",
-      "sha256": "e5ea64d4a38567d4bdb3183aac0ba2a7817c4d66c13fa1d318ff6dba4411ca87",
-      "bytes": 606791,
-      "rows": 36,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6f47d935-764a-5188-8955-81e0853410b0",
     "numina:6f5b5eae-4029-53ad-8b57-1e1d00662950",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003742.lean\",\"834ab33cc627be6f66b63759f1c1f3b27fa986b9556a6e980105b2eb55b33701\",0,\"number_theory_641917\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003743.lean\",\"4ae789c104bc50b9e39cea12987a48e88eb032cdd9b503c6e81789741fee93f4\",0,\"number_theory_641945\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003744.lean\",\"2fa4a4fb5cd1d889e53f4435c179db93b326c9723a7003bb39a6a4dcdbc8628b\",0,\"number_theory_641948\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 606791,
+      "path": "data/train/pca/numina-000748-0000-e5ea64d4a38567d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "e5ea64d4a38567d4bdb3183aac0ba2a7817c4d66c13fa1d318ff6dba4411ca87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000749.json b/manifests/batches/numina/000749.json
index 3ba72f988a39a7861980cd9901f45ea1185d08c7..e1ed4e08c23503d291f827b161dfe66f27c6c681 100644
--- a/manifests/batches/numina/000749.json
+++ b/manifests/batches/numina/000749.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000749",
   "batch_fingerprint": "2f220e5c3e97063f510b951115018521037f2114c73d5bd0ab2562be4492cb15",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000749-0000-3a1a0c644d2540ca.parquet",
-      "sha256": "3a1a0c644d2540ca4ed125f775070eee1a8be48815ec904a4acc7957c6c9bcd9",
-      "bytes": 105084,
-      "rows": 25,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b354779-c1db-561b-8d25-2174c42c6b15",
     "numina:80cd17c5-1097-59dc-8946-b1a3310831c2",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003747.lean\",\"0f240d67b3edcea79d4aff7170131160beab6da943ed0aee7e7efd0756b56277\",4,\"number_theory_641956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003748.lean\",\"5d347c02426a7e59b1496db4d6be2989ba0af2e162e11198e597dbcaccee8aee\",0,\"number_theory_641986\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003749.lean\",\"d2d0128accd05c39742055a460d2fa9481197a6ef477c01e97a8e24f1f45f134\",2,\"number_theory_641988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105084,
+      "path": "data/train/p15/numina-000749-0000-3a1a0c644d2540ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "3a1a0c644d2540ca4ed125f775070eee1a8be48815ec904a4acc7957c6c9bcd9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000750.json b/manifests/batches/numina/000750.json
index 3a3a68dce85d8d4f17c9529b4bd8790a13a82102..e796012e833098c9f38aaa9487390392d69dcbe8 100644
--- a/manifests/batches/numina/000750.json
+++ b/manifests/batches/numina/000750.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000750",
   "batch_fingerprint": "a152fc3b26d3d62eda9d1f228be2356bbdc0299dc888576c72c9f4cfb228961b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000750-0000-5de1bc48f2269644.parquet",
-      "sha256": "5de1bc48f2269644477a0c32c7d033d09dffebf18d5ab0dc0559e16d22bba518",
-      "bytes": 492983,
-      "rows": 25,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/internal_test/numina-000750-0000-b63daa932ab52e40.parquet",
-      "sha256": "b63daa932ab52e4051d8767bc0e8050ae19fd9377993609c1cb26ee718e3bc23",
-      "bytes": 129604,
-      "rows": 8,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:540b8f6e-b770-5db2-81a2-868b064bea83",
     "numina:6e481064-7d7b-55fb-bcb2-97d809e3072e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003752.lean\",\"992a692b1545f83c48626e243492de3936b5424b75e832964f19aab21836038b\",0,\"number_theory_642002\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003753.lean\",\"13b0ff4c357d89fa52795ad3ca19527c49f4d28a9e2fb76e96562240ccc31d91\",0,\"divisors_between_60_70\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003754.lean\",\"074d550bdd26f3ff73b42f2e09a65fd814d5904861a6bee4682004712b4c5ca3\",0,\"number_theory_642036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492983,
+      "path": "data/train/p85/numina-000750-0000-5de1bc48f2269644.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5de1bc48f2269644477a0c32c7d033d09dffebf18d5ab0dc0559e16d22bba518"
+    },
+    {
+      "bytes": 129604,
+      "path": "data/internal_test/p85/numina-000750-0000-b63daa932ab52e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b63daa932ab52e4051d8767bc0e8050ae19fd9377993609c1cb26ee718e3bc23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000751.json b/manifests/batches/numina/000751.json
index 21f99ffb1aaf8e45f9d1baa1ce954256ae5d3fe5..55009541781eae0c4701ce5eb073607b5e368709 100644
--- a/manifests/batches/numina/000751.json
+++ b/manifests/batches/numina/000751.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000751",
   "batch_fingerprint": "c94a93c820c26c1f5689a37e57ad974ff45f2de62ace64901bfa2c6be566c77f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000751-0000-9009e6f2778dbee3.parquet",
-      "sha256": "9009e6f2778dbee373dd1b28391d348a1845ce8bc95753199f62a8529a9d76a4",
-      "bytes": 438691,
-      "rows": 70,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:184c340b-f819-5763-ac41-4b3f2d37af2d",
     "numina:44597328-250d-5238-ae3c-67282cf73bd3",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003757.lean\",\"43a09ec19281b6b178bb8063ebb43b2c9e26c8c38830757365af380df11c0c20\",3,\"number_theory_642074\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003758.lean\",\"8e6eeeb10bd73cf76daf3ae3bc25dc9d339d73ab2690c4d1ea32ef3e1bc6ea88\",0,\"number_theory_642097\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003759.lean\",\"cd1a6da14a0d6bad7358529d505f6e7a07ade84dfd4e73b314d856acc9bc2fdb\",3,\"number_theory_642103\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438691,
+      "path": "data/train/pdf/numina-000751-0000-9009e6f2778dbee3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "9009e6f2778dbee373dd1b28391d348a1845ce8bc95753199f62a8529a9d76a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000752.json b/manifests/batches/numina/000752.json
index 5803edcfbb299bba720f35e9fd6d45fe1896e861..19a1764a79e3bb3c3ebb10b56c8a44f3c132718d 100644
--- a/manifests/batches/numina/000752.json
+++ b/manifests/batches/numina/000752.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000752",
   "batch_fingerprint": "477a944493f84ac75d78b198dfa7ed4d9288d44fa4edb548934ff94f4951d4b2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000752-0000-8be8d534a433b3e5.parquet",
-      "sha256": "8be8d534a433b3e578fe9a6f95915bb3fd3c84c47cd1bdfa4311e858dd1dbe09",
-      "bytes": 655148,
-      "rows": 36,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/internal_test/numina-000752-0000-8d610be2f74cd950.parquet",
-      "sha256": "8d610be2f74cd9509e6568e96096389f376984e722172410a7b388dd95f29ec8",
-      "bytes": 219140,
-      "rows": 3,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b539a42-3731-5977-969a-a974020bd442",
     "numina:a8296652-6691-5d73-acf8-64025c25d7b9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003762.lean\",\"8c9c5b9adf64d02c772cfcbad327fb3df724d45f3c9b8a239ea3e50efe530852\",0,\"number_theory_642160\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003763.lean\",\"eb9a107682ce3dc74a0fdf822b4ddddc7c436c874fc5299278402ddc5b9b341e\",0,\"algebra_642235\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003764.lean\",\"4bda259f4288dca55a00a47788441e3972bf0c031caee0371b19d6392517d8e9\",0,\"mod1000_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 655148,
+      "path": "data/train/p0f/numina-000752-0000-8be8d534a433b3e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "8be8d534a433b3e578fe9a6f95915bb3fd3c84c47cd1bdfa4311e858dd1dbe09"
+    },
+    {
+      "bytes": 219140,
+      "path": "data/internal_test/p0f/numina-000752-0000-8d610be2f74cd950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8d610be2f74cd9509e6568e96096389f376984e722172410a7b388dd95f29ec8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000753.json b/manifests/batches/numina/000753.json
index 15688b93bfc0d9480d491ea2092821173bde65c3..21121ef85e6755c8c6271acdb34851bb2499e547 100644
--- a/manifests/batches/numina/000753.json
+++ b/manifests/batches/numina/000753.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000753",
   "batch_fingerprint": "0a7e79357d9c8a02d090fabfc43163310f98fbea3a6da66af2bf304109b12e2b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000753-0000-7c13713788652679.parquet",
-      "sha256": "7c13713788652679ad52eb0774dee9d0760796f71940b2a91a225f549eb309d9",
-      "bytes": 240799,
-      "rows": 50,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/dev/numina-000753-0000-40fd8870d7ee7648.parquet",
-      "sha256": "40fd8870d7ee76487539cb2cf0a2930cc55692f35f0fa7c6ec5af0707d821f87",
-      "bytes": 868981,
-      "rows": 41,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/dev/numina-000753-0001-c43def2086563a69.parquet",
-      "sha256": "c43def2086563a6921bba47405fe9bf86d66bfbb5f224b2ed8d9f3cfa27ac52a",
-      "bytes": 286253,
-      "rows": 27,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6c1e0ed4-1b1c-590e-988d-abc50427d440",
     "numina:a2599662-2f3e-5f80-9db7-3496890745c4",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003767.lean\",\"2f00ccf506c2416437cb2dda0a289a6f20ecb6cfb7edabe42970e6ba5e9f3b28\",0,\"algebra_20800\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003768.lean\",\"19f2eb5b3f82048070266b32ea5c758abdb7cec96e60a04795b35f6699cdc731\",0,\"algebra_18913\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003769.lean\",\"e9912a09f591e2b4b0fd59fb3d9e53a21244b3a2e5caa874ce1e31905fef6055\",0,\"number_theory_241332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240799,
+      "path": "data/train/ped/numina-000753-0000-7c13713788652679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "7c13713788652679ad52eb0774dee9d0760796f71940b2a91a225f549eb309d9"
+    },
+    {
+      "bytes": 868981,
+      "path": "data/dev/ped/numina-000753-0000-40fd8870d7ee7648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "40fd8870d7ee76487539cb2cf0a2930cc55692f35f0fa7c6ec5af0707d821f87"
+    },
+    {
+      "bytes": 286253,
+      "path": "data/dev/ped/numina-000753-0001-c43def2086563a69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "c43def2086563a6921bba47405fe9bf86d66bfbb5f224b2ed8d9f3cfa27ac52a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000754.json b/manifests/batches/numina/000754.json
index d68511d9189dc990ccc9f9367de6e036e6c1c68a..82d32d7b46f109fec59d8a119fb3e3c7fdc0b6e1 100644
--- a/manifests/batches/numina/000754.json
+++ b/manifests/batches/numina/000754.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000754",
   "batch_fingerprint": "2c34d3bedd3ba260f1ec65bc599f89fb7fc77839b721f3b8c146009dde4f3528",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000754-0000-a32769e4f32bf246.parquet",
-      "sha256": "a32769e4f32bf246ec04ccdcf3618804d51cfcd5ffe3439d67a9d7f31161846b",
-      "bytes": 142836,
-      "rows": 22,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02ebf693-3300-56be-bb03-c2698fed047b",
     "numina:45521fff-bad3-5eed-a946-174b357a3df3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003772.lean\",\"c2ebdca61f6181060ee20982fc014c7e1523f3bcdc0724dfdbbc152675c0fd35\",0,\"algebra_20418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003773.lean\",\"aeb29473d4c2b6184ba1d496e5940c6411d6ab06ab1218e070ae9bae7ce3a4fa\",0,\"algebra_609216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003774.lean\",\"37313ea64e2228204e21599f307ef9a227c4432f5c5c5b910d6cff1edb1bf4e0\",0,\"algebra_196221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142836,
+      "path": "data/train/pdb/numina-000754-0000-a32769e4f32bf246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "a32769e4f32bf246ec04ccdcf3618804d51cfcd5ffe3439d67a9d7f31161846b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000755.json b/manifests/batches/numina/000755.json
index ae31910e853c3c6fd3b8cf939044635d63f11594..fb32d98e58caf3966c4978b15ecdd466eb71fcf6 100644
--- a/manifests/batches/numina/000755.json
+++ b/manifests/batches/numina/000755.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000755",
   "batch_fingerprint": "e79b2ae6ed1cf955e93b545031c1ba06c3b422eed568b11a45cb9921dff74432",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000755-0000-de467fe7048eb7d9.parquet",
-      "sha256": "de467fe7048eb7d9267039be52960552563717245c7f3d5bbd4f6ef679b45824",
-      "bytes": 731855,
-      "rows": 47,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/train/numina-000755-0001-0dfa7f55024d7fe3.parquet",
-      "sha256": "0dfa7f55024d7fe3a896a10da7c3725182270f18026688f3a88c1701e5f48581",
-      "bytes": 136352,
-      "rows": 1,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f82c912-e154-5c72-900b-e1aba095ec1b",
     "numina:4405505c-0163-5323-a825-e1e469f2065b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003777.lean\",\"9c270a85763d86ad4f1c94279d3d4ed08887734c97d10e713c7554f83297dc05\",0,\"number_theory_226094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003778.lean\",\"62508926ae76f88b1ba46d0a78a8f631020fb672b9e97655c26ce9adc1bfb4cc\",0,\"algebra_18700\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003779.lean\",\"804a59a05bfb84d37017ebf5cd944469eb47ad6c704732ac62987e5002b5a9dd\",0,\"algebra_98656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 731855,
+      "path": "data/train/p00/numina-000755-0000-de467fe7048eb7d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "de467fe7048eb7d9267039be52960552563717245c7f3d5bbd4f6ef679b45824"
+    },
+    {
+      "bytes": 136352,
+      "path": "data/train/p00/numina-000755-0001-0dfa7f55024d7fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0dfa7f55024d7fe3a896a10da7c3725182270f18026688f3a88c1701e5f48581"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000756.json b/manifests/batches/numina/000756.json
index d1c8b3b47738b0f0318024856340bce0f259571c..7ace7035f5773b52be4762010fbb236748a96165 100644
--- a/manifests/batches/numina/000756.json
+++ b/manifests/batches/numina/000756.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000756",
   "batch_fingerprint": "923d46d8da624fdbf8deb0f25c2b02fd8ff4bb9d70e388c89e59a83221bd7386",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000756-0000-e77100a952714f80.parquet",
-      "sha256": "e77100a952714f80fafe871182259e6b3e62eb16359c98c08d981275971b108f",
-      "bytes": 373964,
-      "rows": 23,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/dev/numina-000756-0000-55c62dd0140aa8ec.parquet",
-      "sha256": "55c62dd0140aa8ec26a91bb79f1df03dcaaccd1635122e4438a249fef7e03748",
-      "bytes": 219831,
-      "rows": 9,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e90e290-b6b2-5ad1-bcca-c0ac23e09742",
     "numina:1d2e954c-8281-5205-baa2-684ff0393326",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003782.lean\",\"b3c68bbc9d5c9a1a56d4f341711ffe6bd9927781d717320d9bee772c48a93dba\",0,\"algebra_190762\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003783.lean\",\"cdcf92c560fdffdd756fe60303546c918779a9ff3a095e48e84318cd58a75a29\",0,\"algebra_20891\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003784.lean\",\"2dc2e8efcd339cedc108557c1a4f6be94ca6e1e8b1fdc91667889e85ce45b299\",0,\"number_theory_610239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373964,
+      "path": "data/train/p46/numina-000756-0000-e77100a952714f80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "e77100a952714f80fafe871182259e6b3e62eb16359c98c08d981275971b108f"
+    },
+    {
+      "bytes": 219831,
+      "path": "data/dev/p46/numina-000756-0000-55c62dd0140aa8ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "55c62dd0140aa8ec26a91bb79f1df03dcaaccd1635122e4438a249fef7e03748"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000757.json b/manifests/batches/numina/000757.json
index acf2b54d772239134068457f222093308c81463a..b420fe7e3f326c01107f7731cd6828c2c2d491e0 100644
--- a/manifests/batches/numina/000757.json
+++ b/manifests/batches/numina/000757.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000757",
   "batch_fingerprint": "c0795ab1e3580eaf5f8d0a17e10b5eef2fbf2f1ce1dc575ed9da62e63f045296",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000757-0000-fa7a9f88d265f508.parquet",
-      "sha256": "fa7a9f88d265f50812252452e7498bca7afb3372a0ff326ab73f1664dac34fab",
-      "bytes": 440404,
-      "rows": 49,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:466c68e8-debf-5327-9d95-8ed9602189ab",
     "numina:48cfef30-32bf-5bb9-a383-bbc92dca3aa7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003787.lean\",\"ea23523b00ec7158614eaeb1deae0064d90386bebc0ec93abf39022cd5c7341b\",0,\"number_theory_610259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003788.lean\",\"da0641229a79c6c3883a8709976b1f7ce275de9439769ce77b135938f0bb4615\",0,\"number_theory_84195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003789.lean\",\"52a532520ba8e2fd3f871d3a3c8d02cb10d8018386335a163ac49a14c2268c28\",0,\"number_theory_103808\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440404,
+      "path": "data/train/p8f/numina-000757-0000-fa7a9f88d265f508.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "fa7a9f88d265f50812252452e7498bca7afb3372a0ff326ab73f1664dac34fab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000758.json b/manifests/batches/numina/000758.json
index 97134ecba8aecbba5086bbaf364c035f24d8a34f..71911dfe5c855e9e511dfb2b675fc15dfeba1809 100644
--- a/manifests/batches/numina/000758.json
+++ b/manifests/batches/numina/000758.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000758",
   "batch_fingerprint": "5e100807979f5c3accee7c1117bb11a296122b387f32b5072c3b4cfde88aa1c2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000758-0000-0af1f96f2aff6035.parquet",
-      "sha256": "0af1f96f2aff6035ab6b0056cef91d7e22dcc390fcab8b21defbb9c61c6f909b",
-      "bytes": 189919,
-      "rows": 18,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    },
-    {
-      "path": "data/internal_test/numina-000758-0000-5a365a7b89e23a79.parquet",
-      "sha256": "5a365a7b89e23a7958e1fd7d1aab5581559139be55aa634dcba1515783739c73",
-      "bytes": 126386,
-      "rows": 20,
-      "revision": "889a9ad06ef8a972ddc9ce6d50282b4349f3393b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30c4e753-1525-5a50-bbad-fbaa501aa103",
     "numina:50f65147-64d0-5b1d-89a0-b0ae27003f88",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003792.lean\",\"f868abafd34361d312b4ef62b70397942f8e80a2dd0a19a3d9f63ed959582d89\",0,\"number_theory_168484\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003793.lean\",\"653af7550e8ed03be7d02cfe98f3cd7517e6887310a1588f45a0e6b1815135f6\",0,\"algebra_20147\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003794.lean\",\"470a878d617ea4b4dbdc74bb956a2bbc16a5f337e697ae850c95746bcdead4a4\",0,\"algebra_246362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189919,
+      "path": "data/train/pc6/numina-000758-0000-0af1f96f2aff6035.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0af1f96f2aff6035ab6b0056cef91d7e22dcc390fcab8b21defbb9c61c6f909b"
+    },
+    {
+      "bytes": 126386,
+      "path": "data/internal_test/pc6/numina-000758-0000-5a365a7b89e23a79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5a365a7b89e23a7958e1fd7d1aab5581559139be55aa634dcba1515783739c73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000759.json b/manifests/batches/numina/000759.json
index edadf7bb5f6995c5ea5ed72f676795801b61ce68..9224a39617f0f59cb48d3818a67b173211061f92 100644
--- a/manifests/batches/numina/000759.json
+++ b/manifests/batches/numina/000759.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000759",
   "batch_fingerprint": "323c3dd7071748478a7e903a8fae8140bd0042154cb8618ccf4e7f8cdf8e5ad7",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:61bf3264-277b-5d26-8ea1-ca801410e131",
+    "numina:66c949a3-5217-593a-a3a6-cf65e5a2ddb5",
+    "numina:b1d15b93-013d-5203-8891-01d5c806ecd0",
+    "numina:b1d45eb0-9525-5e03-b20f-b214843db67c",
+    "numina:d4744189-a1c3-51fa-8a3a-d0ce7ebdc5a5"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003795.lean\",\"fd86394e40b0179e74b6f0b45305266bb9469ba7ae7af92e8e294538bbf0a279\",0,\"number_theory_246769\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003796.lean\",\"6e67085963a4dd4243ab2d5dd88f01ac5dd3c74a0da42d6a2835f8ecfd7704da\",0,\"inequalities_605091\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003797.lean\",\"518270028622b5d86e0b0d73ed2161bdaa96c2a46b1da4ea183d1e964cecd5fd\",0,\"algebra_24773\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003798.lean\",\"6b7b4bcd516f4624153cb69937f18fb602053b62f5b8a9120a5b392d1f69bd0c\",0,\"algebra_240758\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003799.lean\",\"74e6eebc0199c955afd598021e9ba37b331876324c9c438eb3c9f7f885cdf132\",0,\"algebra_20396\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000759-0000-ece14a38cc7e7245.parquet",
-      "sha256": "ece14a38cc7e724511602873dbe02be4bea75aa3a6104d9fe6b020b96bb300d7",
       "bytes": 665802,
+      "path": "data/train/p3d/numina-000759-0000-ece14a38cc7e7245.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
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-      "path": "data/train/numina-000759-0001-40eec25e9f1bf818.parquet",
-      "sha256": "40eec25e9f1bf81832d618691ae14dcfbbe7c57ff9ac467cfcb3f08ab73ee5f6",
       "bytes": 513112,
+      "path": "data/train/p3d/numina-000759-0001-40eec25e9f1bf818.parquet",
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       "rows": 8,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
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     {
-      "path": "data/train/numina-000759-0002-72e9b04ed7ea2ef1.parquet",
-      "sha256": "72e9b04ed7ea2ef1a3cb99f80a9c80173862871ad8d9c021eb65d24d55942208",
       "bytes": 731670,
+      "path": "data/train/p3d/numina-000759-0002-72e9b04ed7ea2ef1.parquet",
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       "rows": 23,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
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     {
-      "path": "data/dev/numina-000759-0000-0bbb3c19e606413e.parquet",
-      "sha256": "0bbb3c19e606413e91e1b21736e289cd02c7ff707f9fac862976a8764d719baa",
       "bytes": 91056,
+      "path": "data/dev/p3d/numina-000759-0000-0bbb3c19e606413e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
+      "sha256": "0bbb3c19e606413e91e1b21736e289cd02c7ff707f9fac862976a8764d719baa"
     },
     {
-      "path": "data/internal_test/numina-000759-0000-c6f7feff407fa530.parquet",
-      "sha256": "c6f7feff407fa5304cd644da7835894647084e2818502b6dec9e8b8d94b49078",
       "bytes": 205010,
+      "path": "data/internal_test/p3d/numina-000759-0000-c6f7feff407fa530.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 33,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
+      "sha256": "c6f7feff407fa5304cd644da7835894647084e2818502b6dec9e8b8d94b49078"
     }
-  ],
-  "proof_ids": [
-    "numina:61bf3264-277b-5d26-8ea1-ca801410e131",
-    "numina:66c949a3-5217-593a-a3a6-cf65e5a2ddb5",
-    "numina:b1d15b93-013d-5203-8891-01d5c806ecd0",
-    "numina:b1d45eb0-9525-5e03-b20f-b214843db67c",
-    "numina:d4744189-a1c3-51fa-8a3a-d0ce7ebdc5a5"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003795.lean\",\"fd86394e40b0179e74b6f0b45305266bb9469ba7ae7af92e8e294538bbf0a279\",0,\"number_theory_246769\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003796.lean\",\"6e67085963a4dd4243ab2d5dd88f01ac5dd3c74a0da42d6a2835f8ecfd7704da\",0,\"inequalities_605091\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003797.lean\",\"518270028622b5d86e0b0d73ed2161bdaa96c2a46b1da4ea183d1e964cecd5fd\",0,\"algebra_24773\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003798.lean\",\"6b7b4bcd516f4624153cb69937f18fb602053b62f5b8a9120a5b392d1f69bd0c\",0,\"algebra_240758\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003799.lean\",\"74e6eebc0199c955afd598021e9ba37b331876324c9c438eb3c9f7f885cdf132\",0,\"algebra_20396\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000760.json b/manifests/batches/numina/000760.json
index 4baaeb3c61fea3b91a0ff6bfa105034ed2465e7e..ad66c11a5aa1a565fcc225fe6e5cfcfa11a758bf 100644
--- a/manifests/batches/numina/000760.json
+++ b/manifests/batches/numina/000760.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000760",
   "batch_fingerprint": "898b32c54fc6d39faf0780a6ac42fe1f60f3f769f02590c86f03a7499bd1e8d8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000760-0000-e2356c718e99ba6a.parquet",
-      "sha256": "e2356c718e99ba6a1e0707307044f0a77258d750ddbbae866623a7fffe136982",
-      "bytes": 598589,
-      "rows": 18,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/train/numina-000760-0001-20a4b297ab2696f6.parquet",
-      "sha256": "20a4b297ab2696f6be2f33d856fbd07fa77fb790ecabb36b8fd8e81c67429967",
-      "bytes": 150632,
-      "rows": 11,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02526116-cf7a-5372-bb51-f742bf2af74b",
     "numina:0e32bcce-0ea0-5fe3-be4f-3ab4d9bd72f6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003802.lean\",\"89d5553c7c45036031bdd830d63f29ac6c5cd97d5607fccfb0ad98b6b5622229\",0,\"algebra_246883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003803.lean\",\"e4c1af839801f000a673c5a664c3b9f5e61d032fea2fc257db5af36066e25603\",0,\"algebra_94594\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003804.lean\",\"b0deda2926ec36c837a79ea9b4504cd95984ea4e8097aa3bd1566fe43ee14fec\",0,\"algebra_604614\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598589,
+      "path": "data/train/pf7/numina-000760-0000-e2356c718e99ba6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e2356c718e99ba6a1e0707307044f0a77258d750ddbbae866623a7fffe136982"
+    },
+    {
+      "bytes": 150632,
+      "path": "data/train/pf7/numina-000760-0001-20a4b297ab2696f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "20a4b297ab2696f6be2f33d856fbd07fa77fb790ecabb36b8fd8e81c67429967"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000761.json b/manifests/batches/numina/000761.json
index cb1b3cf23bbbce501ef598e148681c6a59b72a79..c88f0ec95d61b2e3126695fe2dd0c75e91540173 100644
--- a/manifests/batches/numina/000761.json
+++ b/manifests/batches/numina/000761.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000761",
   "batch_fingerprint": "94f2271c71c99e714924b80a79a49a79f459ef9fa74444e8bb8f084cdb94082c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000761-0000-7429f132defe2d0d.parquet",
-      "sha256": "7429f132defe2d0d4b4c81e6ff5f7843fe4b003ee949f477897606d5c85e5fda",
-      "bytes": 68233,
-      "rows": 10,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/internal_test/numina-000761-0000-859e4755043abeed.parquet",
-      "sha256": "859e4755043abeedf90de0d8342b429f8e6670b212dd9c62f06b040d2db8fefc",
-      "bytes": 345018,
-      "rows": 31,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:286d0d0e-b62a-5e54-902e-b8bf687a630f",
     "numina:894581ef-3eb6-58e6-9c9c-8ea209604db8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003807.lean\",\"a0a7c039ac14c6161d4d8ceacba8a0b233b216e640d3ec4325727b22ff5e1083\",0,\"algebra_22001\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003808.lean\",\"8b47dc3dc221e7517f6ec618cb1d6ecf5f744b0d12ae489531bdae44181ac193\",0,\"number_theory_607424\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003809.lean\",\"54be91da316c0475816642f7473b88f42452274ec102d1c4c23e4cfe01dabce2\",0,\"algebra_604948\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68233,
+      "path": "data/train/pd2/numina-000761-0000-7429f132defe2d0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7429f132defe2d0d4b4c81e6ff5f7843fe4b003ee949f477897606d5c85e5fda"
+    },
+    {
+      "bytes": 345018,
+      "path": "data/internal_test/pd2/numina-000761-0000-859e4755043abeed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "859e4755043abeedf90de0d8342b429f8e6670b212dd9c62f06b040d2db8fefc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000762.json b/manifests/batches/numina/000762.json
index 598a2758e63164b44ce670013c16ba7ec2a2c7a5..4fba23b65514bef36c8026210af4a6a3aa78a996 100644
--- a/manifests/batches/numina/000762.json
+++ b/manifests/batches/numina/000762.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000762",
   "batch_fingerprint": "3e90b9816c1078881c343894ca829f4c6ba2043594954cfbc107b5cba862a3fc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000762-0000-be087286887b4ec7.parquet",
-      "sha256": "be087286887b4ec73355546b314bc47846e1b4a687394ef137e71bc42cfe8f9e",
-      "bytes": 285219,
-      "rows": 21,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14c04549-c56e-58ed-8d62-420d5bff04af",
     "numina:2cad8875-02a0-5807-85dd-f3387690ca60",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003812.lean\",\"bf7186ff4564451d73fa84989f33b33a0a6b09b547887106547db979ef59cfe0\",0,\"algebra_21862\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003813.lean\",\"105033ce1d73cfd1a7e916a634d1ae80943fdd746981dce94fe9299367fce9de\",0,\"inequalities_185544\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003814.lean\",\"2544e1651bb3535bb37d40872d518cb4a9c746340190ac18a36b27b30f822da6\",0,\"algebra_21865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285219,
+      "path": "data/train/pfb/numina-000762-0000-be087286887b4ec7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "be087286887b4ec73355546b314bc47846e1b4a687394ef137e71bc42cfe8f9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000763.json b/manifests/batches/numina/000763.json
index 1073d32187d8f2c49b60146f228260096d3ba4a6..3184ab6e300054af4dd146562c671a576823d6c3 100644
--- a/manifests/batches/numina/000763.json
+++ b/manifests/batches/numina/000763.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000763",
   "batch_fingerprint": "ff11ba8c7383a6f29fae4d96e93e833a365883fc4a16d0b50b891b785155f5ba",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000763-0000-9242aeabb442dd0b.parquet",
-      "sha256": "9242aeabb442dd0b399ab153d7af430b5cab87100333651da2b79d06d3adfa24",
-      "bytes": 231857,
-      "rows": 40,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1286e618-d292-5d56-a44b-a54004b5d692",
     "numina:3f05e6e5-3236-5bd8-86e2-0f751170ef71",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003817.lean\",\"0bb1c11bbcd2792c3f9a8e149accf7285b4699ac188165a7e160a574ff04af00\",0,\"number_theory_97963\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003818.lean\",\"c9799428177e7760d385fa6dc54c49d324b9e537e4add0861f3e76df584d29cc\",0,\"inequalities_150250\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003819.lean\",\"ba4ede078992fa14e6c4840da1c40d38856a62a2d2798c6ae0a43af42780fd87\",0,\"number_theory_181835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231857,
+      "path": "data/train/p0c/numina-000763-0000-9242aeabb442dd0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "9242aeabb442dd0b399ab153d7af430b5cab87100333651da2b79d06d3adfa24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000764.json b/manifests/batches/numina/000764.json
index 067c94e936cef2fa1555b2f8f385ad34468be8f8..a3845a29a0fa478576ae3a8a10d26b88ceca2b56 100644
--- a/manifests/batches/numina/000764.json
+++ b/manifests/batches/numina/000764.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000764",
   "batch_fingerprint": "44fa50891834ad5898fbdc93f1346dd43793ed08651897f3ea689797b82f0eff",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000764-0000-eea725b19f13b842.parquet",
-      "sha256": "eea725b19f13b84275a6c49bc5923c575dfea33225297bea43cc856295940d44",
-      "bytes": 348159,
-      "rows": 34,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/dev/numina-000764-0000-4893e88893a4ab0e.parquet",
-      "sha256": "4893e88893a4ab0eb5f38646c60341e93896b68c0d81d87190b8975b493713d9",
-      "bytes": 37097,
-      "rows": 6,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/internal_test/numina-000764-0000-6eff6227686dc2b5.parquet",
-      "sha256": "6eff6227686dc2b587db8d3c2f9e589160db5d77dada2ee7d50a47f781094a54",
-      "bytes": 22971,
-      "rows": 1,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30156fe4-968e-5c1d-bb14-60cab886ee4d",
     "numina:9a3cfccb-47cd-5f74-833c-faf45dc1786a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003822.lean\",\"70321d0768e37eaba5ee93243cfafae74ad4ae40e42c3aaa2f992d08746f7486\",0,\"algebra_608379\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003823.lean\",\"fe3a59468de118505727af945aef9599089fbb7833a20d87c1d92405077e132d\",0,\"algebra_19095\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003824.lean\",\"91dba08be986a822f3304fbfac0446e2bd0fdb432bacae2e16e5b01ce8589167\",0,\"algebra_97984\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348159,
+      "path": "data/train/p56/numina-000764-0000-eea725b19f13b842.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "eea725b19f13b84275a6c49bc5923c575dfea33225297bea43cc856295940d44"
+    },
+    {
+      "bytes": 37097,
+      "path": "data/dev/p56/numina-000764-0000-4893e88893a4ab0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4893e88893a4ab0eb5f38646c60341e93896b68c0d81d87190b8975b493713d9"
+    },
+    {
+      "bytes": 22971,
+      "path": "data/internal_test/p56/numina-000764-0000-6eff6227686dc2b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6eff6227686dc2b587db8d3c2f9e589160db5d77dada2ee7d50a47f781094a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000765.json b/manifests/batches/numina/000765.json
index 5aa84f5137e1a35def40f49ece00d781a324028b..b82eed0d791d23c9440062bfbd8608ee849c3595 100644
--- a/manifests/batches/numina/000765.json
+++ b/manifests/batches/numina/000765.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000765",
   "batch_fingerprint": "8f56bbcb494f602131b6f8321cff405e94468fcbd1df19a77ef1c828268addb7",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1d169678-9557-5ac2-8e9c-56eca07f4832",
+    "numina:1d5f9f4b-d5bc-5125-b0a5-b85a3cdfdb2f",
+    "numina:20a80c6e-6dd8-5334-93d3-0d8e8532ce01",
+    "numina:378ccf81-24e3-5297-b855-18f864d3105a",
+    "numina:9551fce6-5c2d-507d-a35a-7d58e9d52cdc"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003825.lean\",\"0d9ea6cae0927b50467122f70673c8ab51468aaa5c549eab6793364f49b424ba\",0,\"number_theory_4757\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003826.lean\",\"5c1bcef57619458e8dbd2fc3343304a55b203dfa38565def7e2d6bac3608a4e9\",0,\"algebra_18728\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003827.lean\",\"7c2430d6dcdd3b5af835941241a19816aa686d1752b957330f1e7725d3bbe02c\",0,\"algebra_454\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003828.lean\",\"4f2dad0d2d97fcfc7880f74ddce2da1a9b73f7c2976103cf0c1d195358105553\",0,\"inequalities_607477\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003829.lean\",\"554103f21879275c82b5027620c5425d45f0fce6f3cca2f1bcddef1ea7074054\",0,\"algebra_17190\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000765-0000-f55b576f047baf0c.parquet",
-      "sha256": "f55b576f047baf0c3a375c1e0114e2292b3bd6feb6d5ea96f7674972da8bf5c5",
       "bytes": 99768,
+      "path": "data/train/p78/numina-000765-0000-f55b576f047baf0c.parquet",
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       "rows": 15,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
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-      "path": "data/train/numina-000765-0001-645e2ff9f8458a00.parquet",
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       "bytes": 698235,
+      "path": "data/train/p78/numina-000765-0001-645e2ff9f8458a00.parquet",
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       "rows": 1,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
+      "sha256": "645e2ff9f8458a005fb171c8e916f4f56f5011b21a10b37c8215e6a5febeec89"
     },
     {
-      "path": "data/train/numina-000765-0002-271706759ec882f3.parquet",
-      "sha256": "271706759ec882f3e0008ba69a0f090c1ad49e194edad615ac6bcd2725961f6d",
       "bytes": 102479,
+      "path": "data/train/p78/numina-000765-0002-271706759ec882f3.parquet",
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       "rows": 11,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
+      "sha256": "271706759ec882f3e0008ba69a0f090c1ad49e194edad615ac6bcd2725961f6d"
     },
     {
-      "path": "data/internal_test/numina-000765-0000-04eb04fb757a2d9e.parquet",
-      "sha256": "04eb04fb757a2d9e1b2cda3309551fdb889ad0caa2a27f24f0555b0657a65c00",
       "bytes": 648584,
+      "path": "data/internal_test/p78/numina-000765-0000-04eb04fb757a2d9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 26,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
+      "sha256": "04eb04fb757a2d9e1b2cda3309551fdb889ad0caa2a27f24f0555b0657a65c00"
     },
     {
-      "path": "data/internal_test/numina-000765-0001-99449f41f45e82c6.parquet",
-      "sha256": "99449f41f45e82c6491e2b37e3b67184c9aa5251425341d8177631e011e48972",
       "bytes": 77813,
+      "path": "data/internal_test/p78/numina-000765-0001-99449f41f45e82c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
+      "sha256": "99449f41f45e82c6491e2b37e3b67184c9aa5251425341d8177631e011e48972"
     }
-  ],
-  "proof_ids": [
-    "numina:1d169678-9557-5ac2-8e9c-56eca07f4832",
-    "numina:1d5f9f4b-d5bc-5125-b0a5-b85a3cdfdb2f",
-    "numina:20a80c6e-6dd8-5334-93d3-0d8e8532ce01",
-    "numina:378ccf81-24e3-5297-b855-18f864d3105a",
-    "numina:9551fce6-5c2d-507d-a35a-7d58e9d52cdc"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003825.lean\",\"0d9ea6cae0927b50467122f70673c8ab51468aaa5c549eab6793364f49b424ba\",0,\"number_theory_4757\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003826.lean\",\"5c1bcef57619458e8dbd2fc3343304a55b203dfa38565def7e2d6bac3608a4e9\",0,\"algebra_18728\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003827.lean\",\"7c2430d6dcdd3b5af835941241a19816aa686d1752b957330f1e7725d3bbe02c\",0,\"algebra_454\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003828.lean\",\"4f2dad0d2d97fcfc7880f74ddce2da1a9b73f7c2976103cf0c1d195358105553\",0,\"inequalities_607477\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003829.lean\",\"554103f21879275c82b5027620c5425d45f0fce6f3cca2f1bcddef1ea7074054\",0,\"algebra_17190\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000766.json b/manifests/batches/numina/000766.json
index df01d97e010afe04befa64c22da0bf0c450e2151..4ea7edc784f8a818e11480305132de5e52d7ed77 100644
--- a/manifests/batches/numina/000766.json
+++ b/manifests/batches/numina/000766.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000766",
   "batch_fingerprint": "c5a18c617fb0bf8ba47850ac9cc659335f1833b245610a5b4f28a926e0019c94",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0f0984d3-5571-545b-8504-072d99f1ba49",
+    "numina:16925e40-9a32-5b34-a435-9dd177013b8a",
+    "numina:84746526-60f5-58bf-8611-5b2be0844b24",
+    "numina:b644b50b-9116-546d-aa46-8e57d5a5a7de",
+    "numina:f557d384-1d6e-5b02-bc51-ea35c9e72407"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003830.lean\",\"4b448b1e5fbb8d9a604bcbd58e19a707ab08a8c621834d14192014579d1acadf\",0,\"number_theory_124518\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003831.lean\",\"54791bcbe6d95526ee97105fcd3a253bf097512ed9a9324fc8e560b56bb5a25a\",0,\"algebra_12394\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003832.lean\",\"184d9142679e737f344ef24696e9d993d559647131ececa8e6dd7874f8853a02\",0,\"algebra_607426\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003833.lean\",\"5f2e0c4a9aff48c494ac7eb5c6b2f2260632712120c76a9c38052b10f29ca903\",0,\"algebra_292877\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003834.lean\",\"65911089c11ef5435c5b8b3945cba4a1e8bb98c3b4ceca609bcc8854a5234b66\",0,\"number_theory_607427\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000766-0000-74b9e4e4e4613888.parquet",
-      "sha256": "74b9e4e4e4613888e158f8449260bcfd8882afe99f087747486630088ef337b2",
       "bytes": 671978,
+      "path": "data/train/p44/numina-000766-0000-74b9e4e4e4613888.parquet",
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       "rows": 34,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
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     {
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-      "sha256": "2d83602a97bbf561bc2cd3a60105a57022296b5fb1ba58a9b8bc3b5e908b5f78",
       "bytes": 143418,
+      "path": "data/train/p44/numina-000766-0001-2d83602a97bbf561.parquet",
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       "rows": 15,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
+      "sha256": "2d83602a97bbf561bc2cd3a60105a57022296b5fb1ba58a9b8bc3b5e908b5f78"
     },
     {
-      "path": "data/dev/numina-000766-0000-d1723a8d70b2a6ee.parquet",
-      "sha256": "d1723a8d70b2a6ee86a6e32335a59f487e604769787321221ae43f5871b10c2b",
       "bytes": 208309,
+      "path": "data/dev/p44/numina-000766-0000-d1723a8d70b2a6ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
+      "sha256": "d1723a8d70b2a6ee86a6e32335a59f487e604769787321221ae43f5871b10c2b"
     },
     {
-      "path": "data/internal_test/numina-000766-0000-228c911042388573.parquet",
-      "sha256": "228c91104238857330410e805c9305ac79b6c6e8477b86cea0c2967718821a50",
       "bytes": 106767,
+      "path": "data/internal_test/p44/numina-000766-0000-228c911042388573.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "ccd8655082af72bd846360fbf0ccb248e89d2d67"
+      "sha256": "228c91104238857330410e805c9305ac79b6c6e8477b86cea0c2967718821a50"
     }
-  ],
-  "proof_ids": [
-    "numina:0f0984d3-5571-545b-8504-072d99f1ba49",
-    "numina:16925e40-9a32-5b34-a435-9dd177013b8a",
-    "numina:84746526-60f5-58bf-8611-5b2be0844b24",
-    "numina:b644b50b-9116-546d-aa46-8e57d5a5a7de",
-    "numina:f557d384-1d6e-5b02-bc51-ea35c9e72407"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003830.lean\",\"4b448b1e5fbb8d9a604bcbd58e19a707ab08a8c621834d14192014579d1acadf\",0,\"number_theory_124518\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003831.lean\",\"54791bcbe6d95526ee97105fcd3a253bf097512ed9a9324fc8e560b56bb5a25a\",0,\"algebra_12394\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003832.lean\",\"184d9142679e737f344ef24696e9d993d559647131ececa8e6dd7874f8853a02\",0,\"algebra_607426\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003833.lean\",\"5f2e0c4a9aff48c494ac7eb5c6b2f2260632712120c76a9c38052b10f29ca903\",0,\"algebra_292877\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003834.lean\",\"65911089c11ef5435c5b8b3945cba4a1e8bb98c3b4ceca609bcc8854a5234b66\",0,\"number_theory_607427\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000767.json b/manifests/batches/numina/000767.json
index 61a49f39e60c02e4a7f08f4f285a890c76e5cada..a57130a12209bee414b2d56887e8199ec7f112e0 100644
--- a/manifests/batches/numina/000767.json
+++ b/manifests/batches/numina/000767.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000767",
   "batch_fingerprint": "5676b867bfef9f2802d92df8a4dca344938581634443e37f1d70d6f2bdb349c6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000767-0000-b961f69d2c829092.parquet",
-      "sha256": "b961f69d2c82909217393367f6d94cd97e2725fc03edbd7e918e5e11e05194de",
-      "bytes": 160787,
-      "rows": 17,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1260ffed-624b-5447-88a5-25709ede4697",
     "numina:323a3adb-81d4-5e40-ba57-81b0571aa8d9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003837.lean\",\"8a3de8889d3fde1370f71ef6537d68c7e082f3d483a1d714f3d61952b780f643\",0,\"number_theory_12400\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003838.lean\",\"00fc81e3f93ea51a1866e1cc26eda088fdb148b6a658daa3e97675d25acff899\",0,\"algebra_19787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003839.lean\",\"163c2e800f5e3d12489cb56d80782ff0f229b350bcf80a34827f57edce12b49d\",0,\"algebra_609698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160787,
+      "path": "data/train/pdd/numina-000767-0000-b961f69d2c829092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b961f69d2c82909217393367f6d94cd97e2725fc03edbd7e918e5e11e05194de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000768.json b/manifests/batches/numina/000768.json
index 7bc65b97dc13bdf6c74ffe75734f57e125bde9a7..4cd10c080707196db64bf9a6ca2eeba355d6c34c 100644
--- a/manifests/batches/numina/000768.json
+++ b/manifests/batches/numina/000768.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000768",
   "batch_fingerprint": "0eda74443868bdc59c1f156af7ed8ad80c5602454453dc9422e8c808e611bbdb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000768-0000-072bae3a9c358fbb.parquet",
-      "sha256": "072bae3a9c358fbbacb0b2a4c1e19146292044cc28c418499b6a73804efa7149",
-      "bytes": 736908,
-      "rows": 33,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/dev/numina-000768-0000-4ef792d098bc2d6b.parquet",
-      "sha256": "4ef792d098bc2d6b6df6d276135cd1dfd71ae2b01cac352217c4f265683bf534",
-      "bytes": 28707,
-      "rows": 1,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bf21e78-6c09-5013-90f3-57ff49952d90",
     "numina:303b3b6f-35d9-5722-9b39-1d16eefe7a52",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003842.lean\",\"626dc16e7e57caedf48a8bbb6c78bd767929a5d74ed57806f16189280b430914\",0,\"number_theory_187355\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003843.lean\",\"9b9a61a6e60a784524d3efdf673db668a6ba260bdc6136ba17aee826f0208d94\",0,\"algebra_35871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003844.lean\",\"c375cdc2510d8475a4db8fe0433534ec4c24a16c7ded5930554cf7877c2231b5\",0,\"algebra_610798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 736908,
+      "path": "data/train/p22/numina-000768-0000-072bae3a9c358fbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "072bae3a9c358fbbacb0b2a4c1e19146292044cc28c418499b6a73804efa7149"
+    },
+    {
+      "bytes": 28707,
+      "path": "data/dev/p22/numina-000768-0000-4ef792d098bc2d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4ef792d098bc2d6b6df6d276135cd1dfd71ae2b01cac352217c4f265683bf534"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000769.json b/manifests/batches/numina/000769.json
index c6408f602a2ca12c331a392764988d52f2ef9ce4..b9df6fbd71f59a0e84b5fe1947873746798511c3 100644
--- a/manifests/batches/numina/000769.json
+++ b/manifests/batches/numina/000769.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000769",
   "batch_fingerprint": "fa6cb699bb0609492fa7e9fbad631c156a6f90b266eeedebe788b484a1311722",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000769-0000-71fb7df6e39a199c.parquet",
-      "sha256": "71fb7df6e39a199c138db511f6b32b553f318df191239c91858bf3f8b751108d",
-      "bytes": 226154,
-      "rows": 11,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/train/numina-000769-0001-5f35ceceff32d8ef.parquet",
-      "sha256": "5f35ceceff32d8efb34c13d93e6a9b23c552881eb90d05af80c1894f679ebf43",
-      "bytes": 864223,
-      "rows": 3,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    },
-    {
-      "path": "data/train/numina-000769-0002-0d0f92c11fd74e05.parquet",
-      "sha256": "0d0f92c11fd74e05fad5ff79e0e53cadcfd6957cc5c110c010b4fa9109633add",
-      "bytes": 197631,
-      "rows": 8,
-      "revision": "17948ce89050a3c26fa80bf17f276929128985a9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07105fca-c692-59a7-999b-fde32e698f6d",
     "numina:36d04b32-0ac2-5a88-b58c-fc7afc62ccfe",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003847.lean\",\"4ae60e52daf27c4577b98f512edcba7647b4a1ab17edee3cb935114e9fe9f8ba\",0,\"algebra_20355\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003848.lean\",\"9482964197a81c2348a5ded2fa861229af38cfc96cae4522cc68bf30f1e15b5a\",0,\"algebra_10629\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003849.lean\",\"b59e30c2ab00179eb510dfd72a8ac573a7898caf256934e60c6b824e7af66664\",0,\"algebra_20509\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226154,
+      "path": "data/train/pd8/numina-000769-0000-71fb7df6e39a199c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "71fb7df6e39a199c138db511f6b32b553f318df191239c91858bf3f8b751108d"
+    },
+    {
+      "bytes": 864223,
+      "path": "data/train/pd8/numina-000769-0001-5f35ceceff32d8ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5f35ceceff32d8efb34c13d93e6a9b23c552881eb90d05af80c1894f679ebf43"
+    },
+    {
+      "bytes": 197631,
+      "path": "data/train/pd8/numina-000769-0002-0d0f92c11fd74e05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0d0f92c11fd74e05fad5ff79e0e53cadcfd6957cc5c110c010b4fa9109633add"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000770.json b/manifests/batches/numina/000770.json
index 93795569199bae0397866ac59e546614eda31b4d..1cb0d88085914e9e98d19c331216590750bff290 100644
--- a/manifests/batches/numina/000770.json
+++ b/manifests/batches/numina/000770.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000770",
   "batch_fingerprint": "ba238cdf503e36857405a6623703db1552ca97cf9879877eb2bbc93c0c945cb9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000770-0000-d18abffa7c70bde7.parquet",
-      "sha256": "d18abffa7c70bde758f7d2c20b32408edb3118452f1276489e08de3e2595eb7d",
-      "bytes": 118834,
-      "rows": 14,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/dev/numina-000770-0000-392a89a72701495b.parquet",
-      "sha256": "392a89a72701495b95b74a3463a80a8571075609e53e5512f5fb9b4171345c8f",
-      "bytes": 26125,
-      "rows": 1,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:450cb727-9b7d-565b-95d4-3da247b75690",
     "numina:4c8a2a5e-233b-5ff3-915c-302608426232",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003852.lean\",\"fd4942c974191e0c4ba42a8df882ee9a4fa17be964d4ffad23d59aea4ab23958\",0,\"algebra_17251\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003853.lean\",\"06a1cd7dba26b7b8d282697ec14a5f6e25e96c33a179386e064ae16f8af720b7\",0,\"algebra_14975\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003854.lean\",\"e14323736a155c1f40dd6109ff21bb357d4a36656784c5147003983f675ee346\",0,\"number_theory_14863\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118834,
+      "path": "data/train/pab/numina-000770-0000-d18abffa7c70bde7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d18abffa7c70bde758f7d2c20b32408edb3118452f1276489e08de3e2595eb7d"
+    },
+    {
+      "bytes": 26125,
+      "path": "data/dev/pab/numina-000770-0000-392a89a72701495b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "392a89a72701495b95b74a3463a80a8571075609e53e5512f5fb9b4171345c8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000771.json b/manifests/batches/numina/000771.json
index f996b3770e7845488425ee1478b6b9583a312dc6..e831a79f8a903617a99faa0586eb8f93ab399d70 100644
--- a/manifests/batches/numina/000771.json
+++ b/manifests/batches/numina/000771.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000771",
   "batch_fingerprint": "5838e4a4b5da43de8942cf36e5b1a7537fc4238f3ae456e9a3473cb4186e68e2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000771-0000-72d5e988efef6924.parquet",
-      "sha256": "72d5e988efef6924bc6a0e34f89e7b8fcd985a738cf2eefac270f1fbedf6070a",
-      "bytes": 709032,
-      "rows": 36,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b668267-474d-535d-b645-696fdd1f21db",
     "numina:b2e7ea8d-ca62-5027-bd26-b5036c69ea1e",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003857.lean\",\"e916720ff0cd5da39a9236774f2f8be05905c6b823351c9766b15f5d6598feae\",0,\"number_theory_604329\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003858.lean\",\"118d5971000b1085c77c1b7321eab105a5c1455d760ddb5fc427a3394cbde991\",0,\"number_theory_4714\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003859.lean\",\"69c3e70e492fee000feba399cd87d302e9603fdfead3fddc6e0e799e1db7b48e\",0,\"algebra_238749\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 709032,
+      "path": "data/train/pda/numina-000771-0000-72d5e988efef6924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "72d5e988efef6924bc6a0e34f89e7b8fcd985a738cf2eefac270f1fbedf6070a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000772.json b/manifests/batches/numina/000772.json
index 4d6b115783db53d333055f82bb2e06f2e448d8db..227a88fda3f2169690cf8510108ea5c96f707a63 100644
--- a/manifests/batches/numina/000772.json
+++ b/manifests/batches/numina/000772.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000772",
   "batch_fingerprint": "f18b722296d93724d1dc7c8ac62bd8a66a3fb58405d2dc64d3f6772574b52cda",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000772-0000-815ebf954840d4c5.parquet",
-      "sha256": "815ebf954840d4c5285f2657ff446a2e344fbbd9bef01a00e00c2cae613398ef",
-      "bytes": 37052,
-      "rows": 9,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5d026d45-4b96-5236-a612-e6b2ffb58392",
     "numina:768ae39e-9aa4-5091-be68-61b297065323",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003862.lean\",\"2ac3c56c9b6ede29cfd22c5436ea486596848a12c3764a1463385c75529f1b97\",0,\"algebra_10252\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003863.lean\",\"05878bb68f65da04139a5f2bf83e3e1e2e8857edf7bce87a898cf60da052ad76\",0,\"number_theory_233111\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003864.lean\",\"7d44849ff67e7abd7b9ba48c973d3e9e2835a9fadbbd1aba7261125cb246eeba\",0,\"algebra_11270\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 37052,
+      "path": "data/train/pf1/numina-000772-0000-815ebf954840d4c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "815ebf954840d4c5285f2657ff446a2e344fbbd9bef01a00e00c2cae613398ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000773.json b/manifests/batches/numina/000773.json
index 95f8da96f17d89df6a579c546d8e0d569a064a9d..b67d17cb9892fbe818a4042ed953ede3a5c2ba71 100644
--- a/manifests/batches/numina/000773.json
+++ b/manifests/batches/numina/000773.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000773",
   "batch_fingerprint": "a580acf4d09aafb23a625844bbab67f7df6da131eb88ecd67e80497c6510a328",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2111c1ca-65ae-5e30-91e8-fc7c4fc98b2b",
+    "numina:25a9af7d-3994-5872-a103-5f7dd3f78ad7",
+    "numina:52aea08b-2c54-5299-96a4-25d67d276641",
+    "numina:b9c2180f-a17a-50f9-90cd-78c04bcdda8e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003865.lean\",\"4590e1cdfb4c616b39ca2e00671aa8905de15711b996e1c3863d43743aeaf257\",0,\"algebra_605533\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003866.lean\",\"96d1f004f60753082b1c701b80197a688f8327c9e6eacb6d794264f80d19439f\",0,\"algebra_17241\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003868.lean\",\"239b7923c633eda03a49be73930ffc6999bff0ad36349eb7c60ee10eefa4b979\",0,\"algebra_1192\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003869.lean\",\"051a3f6b507b0947f420e70619efe75220b1d32c644c0f3e879bfbb46f0ff2d6\",0,\"algebra_607937\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000773-0000-bfe18e19ad7ae1a1.parquet",
-      "sha256": "bfe18e19ad7ae1a198b0e0742f7b0d419e9f73ba094adcd5cf844cf972dc711d",
       "bytes": 338008,
+      "path": "data/train/p93/numina-000773-0000-bfe18e19ad7ae1a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
+      "sha256": "bfe18e19ad7ae1a198b0e0742f7b0d419e9f73ba094adcd5cf844cf972dc711d"
     },
     {
-      "path": "data/train/numina-000773-0001-ab14f3d438ce3fc5.parquet",
-      "sha256": "ab14f3d438ce3fc5471a398122d459f442a27988df0ac5346feb92cbe96f9d0c",
       "bytes": 428262,
+      "path": "data/train/p93/numina-000773-0001-ab14f3d438ce3fc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
+      "sha256": "ab14f3d438ce3fc5471a398122d459f442a27988df0ac5346feb92cbe96f9d0c"
     },
     {
-      "path": "data/internal_test/numina-000773-0000-6099512352f80304.parquet",
-      "sha256": "6099512352f80304ed80fdf02b101e258e6aba3646518ddf1680eb7066126fb7",
       "bytes": 33688,
+      "path": "data/internal_test/p93/numina-000773-0000-6099512352f80304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
+      "sha256": "6099512352f80304ed80fdf02b101e258e6aba3646518ddf1680eb7066126fb7"
     }
-  ],
-  "proof_ids": [
-    "numina:2111c1ca-65ae-5e30-91e8-fc7c4fc98b2b",
-    "numina:25a9af7d-3994-5872-a103-5f7dd3f78ad7",
-    "numina:52aea08b-2c54-5299-96a4-25d67d276641",
-    "numina:b9c2180f-a17a-50f9-90cd-78c04bcdda8e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003865.lean\",\"4590e1cdfb4c616b39ca2e00671aa8905de15711b996e1c3863d43743aeaf257\",0,\"algebra_605533\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003866.lean\",\"96d1f004f60753082b1c701b80197a688f8327c9e6eacb6d794264f80d19439f\",0,\"algebra_17241\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003868.lean\",\"239b7923c633eda03a49be73930ffc6999bff0ad36349eb7c60ee10eefa4b979\",0,\"algebra_1192\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003869.lean\",\"051a3f6b507b0947f420e70619efe75220b1d32c644c0f3e879bfbb46f0ff2d6\",0,\"algebra_607937\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000774.json b/manifests/batches/numina/000774.json
index 8e5c4c10761707804d04d736eae99665f7e8c470..63d6a0b6f2a2ac3b179fdcb336151819ebeda2ad 100644
--- a/manifests/batches/numina/000774.json
+++ b/manifests/batches/numina/000774.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000774",
   "batch_fingerprint": "20bbfa29550306e1d0b9fd000c6d2b5d72028d77b2fe783f472ba951796639ef",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000774-0000-ac75cfb966031206.parquet",
-      "sha256": "ac75cfb9660312062c276e8508185e1abe37a5045a7f682ef8a77d54cea9034d",
-      "bytes": 113324,
-      "rows": 20,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    },
-    {
-      "path": "data/dev/numina-000774-0000-c0a02fc5bfc479ac.parquet",
-      "sha256": "c0a02fc5bfc479ac03e06ebd09f84caa902a99c0f605560047ed48f704d70886",
-      "bytes": 24135,
-      "rows": 1,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08f791c1-0d9f-50b5-a8b4-4d77411b5dd8",
     "numina:4a3a5691-6299-5049-be7d-0d3cd2ccf230",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003872.lean\",\"d5ef088176834621e870cf26ca1d6e3faf7c3e3ff3a986d1332c64dd1e61a903\",0,\"number_theory_4747\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003873.lean\",\"96ae1c44928153edf508f564566f13877b59c5026d5377557f1f0debc9517ae5\",0,\"calculus_22866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003874.lean\",\"021a2e3360ed7f8e1ed9d23df3fd23a7f1b0797d344b5cc2e8f2cd42ba71f1a8\",0,\"algebra_94748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113324,
+      "path": "data/train/peb/numina-000774-0000-ac75cfb966031206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ac75cfb9660312062c276e8508185e1abe37a5045a7f682ef8a77d54cea9034d"
+    },
+    {
+      "bytes": 24135,
+      "path": "data/dev/peb/numina-000774-0000-c0a02fc5bfc479ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c0a02fc5bfc479ac03e06ebd09f84caa902a99c0f605560047ed48f704d70886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000775.json b/manifests/batches/numina/000775.json
index b934206214655ef88dab106b6fd6ffdcfe671c4d..69c81c28f6db8857f204d8b01a223f2fe4ca528c 100644
--- a/manifests/batches/numina/000775.json
+++ b/manifests/batches/numina/000775.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000775",
   "batch_fingerprint": "288a8c18aa15aeadb4197c4ddb4ab934f65b991fe5f4680043bbbe7acf91100a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000775-0000-468fd9072a3bc8a0.parquet",
-      "sha256": "468fd9072a3bc8a08f9263dbdffe9bcb39172c2dfd00be636d81cc16c1c7cb48",
-      "bytes": 468422,
-      "rows": 52,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a81bfe9-09fb-591b-92a4-9cea1e7fa988",
     "numina:1ea88ff1-54fa-5ae4-9927-774ff48bc18b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003877.lean\",\"28b18421833b7f7eb9389aef07881b2072e376aa87da0c9de8c496fbffde2e21\",0,\"algebra_18892\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003878.lean\",\"7e0470fd38be09d176bb6a4697b406bd16286454522f4f601d1f0ddf69704953\",0,\"number_theory_121121\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003879.lean\",\"10dccaae97b50c1733c30da56db73a70c8efa23dcd7e571a601212a1ee30f532\",0,\"algebra_13850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468422,
+      "path": "data/train/p3c/numina-000775-0000-468fd9072a3bc8a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "468fd9072a3bc8a08f9263dbdffe9bcb39172c2dfd00be636d81cc16c1c7cb48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000776.json b/manifests/batches/numina/000776.json
index 1326a1a871791cff1b984ae7db18469c4312f83f..02046116fb85d331b8b58e062591e3dc7db01b92 100644
--- a/manifests/batches/numina/000776.json
+++ b/manifests/batches/numina/000776.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000776",
   "batch_fingerprint": "f2b3931e4a2af5acbabe7fc69ea38f093ff2a9f988e5227f319aa910e854e15d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000776-0000-996243b0ba4caa02.parquet",
-      "sha256": "996243b0ba4caa02e100317dd148d9aed7583524f1e3e7c34649372e1c0b1ca8",
-      "bytes": 163835,
-      "rows": 26,
-      "revision": "3ad8e1f5818fd3566cae341cd7c92f4e50b26f73"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51120e2b-1316-565b-8794-95534232cf46",
     "numina:7ccb55ac-8206-577c-bdbd-dc7cf0cb90a8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003882.lean\",\"19eadbeccab8c66ca763c1c720d16f1789de2deddd32a3a0bc0f0f5cbab20728\",0,\"amc_algebra_1193\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003883.lean\",\"9403b63a935af3e31fa0fc85d33ad391d9a5ed806c76d55f5b3621e69e8c047d\",0,\"algebra_214355\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003884.lean\",\"be746fc335e722373143b2cf01a2245f47425f47db41c8a65d31a6b38d96ae4e\",0,\"algebra_12197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163835,
+      "path": "data/train/p44/numina-000776-0000-996243b0ba4caa02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "996243b0ba4caa02e100317dd148d9aed7583524f1e3e7c34649372e1c0b1ca8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000777.json b/manifests/batches/numina/000777.json
index 6a4391329f2f3fc13f5ed3ff6055e933bdfcb3a0..e8d64bf9c8e08ccb192f2632138a5f219304b4ce 100644
--- a/manifests/batches/numina/000777.json
+++ b/manifests/batches/numina/000777.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000777",
   "batch_fingerprint": "f0cdb7f9221108e0cb8806dfa17b1fed4e959beb4eb0f1406aa3851cf963143e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000777-0000-92ca0323b21d2a18.parquet",
-      "sha256": "92ca0323b21d2a1838aee6feebe0b6860e1fd721b92b0ab8e23d82585dc12c8a",
-      "bytes": 559170,
-      "rows": 32,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11b24520-b407-5a18-9f92-0ce53a238964",
     "numina:2ecd6360-01fc-54c3-b518-a02baa353e51",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003887.lean\",\"6d8e3c4172cf1a9ccc7be02b479729bccdd86a625667f07a8472369b4384d70b\",0,\"algebra_12200\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003888.lean\",\"012c66066626b9ca3b76ad870b92fb27aec0aeede565f097501083f48eefb257\",0,\"number_theory_605046\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003889.lean\",\"3f75abd7bfb1182f3e594c5a00257b9a2865d306d04c287394626dba86575cb7\",0,\"algebra_13086\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 559170,
+      "path": "data/train/p8f/numina-000777-0000-92ca0323b21d2a18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "92ca0323b21d2a1838aee6feebe0b6860e1fd721b92b0ab8e23d82585dc12c8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000778.json b/manifests/batches/numina/000778.json
index 5593c74f99dc9661a6f173c4b35f3e57e3169c3c..e32cf6a935764c393f56d467884e08f179f9c0d6 100644
--- a/manifests/batches/numina/000778.json
+++ b/manifests/batches/numina/000778.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000778",
   "batch_fingerprint": "cb7566604b34b22e7514aabfe47e62ff1aa529900eadd609bf55cf43f1dcebdf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000778-0000-9932ead4b0bcbca9.parquet",
-      "sha256": "9932ead4b0bcbca960f89dbda9f9786cbc97c33e2d0b4d8520b3d206b768cf13",
-      "bytes": 716630,
-      "rows": 25,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000778-0000-d8ec4578d0b163b2.parquet",
-      "sha256": "d8ec4578d0b163b2d1feadb05790b0b3de0c0f55425cb073c4a2014e4fe2acf8",
-      "bytes": 37296,
-      "rows": 7,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:56bc3427-b58f-545e-8d2a-152a4bf600dc",
     "numina:8ae25e9c-1927-58cb-9613-639a12f7c2c8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003892.lean\",\"81e6bcf56e0395e7b605619e72b70521ffaa215e3288aab7a574e294be493715\",0,\"algebra_215374\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003893.lean\",\"10d099cf0fadb13244b971c66e6fbe50f3baa53ab2ede39bf821ef59cf1ab6fa\",0,\"algebra_15954\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003894.lean\",\"7e2fc94f2a7448f736c53f507c6abd86ab283c3ccffb795e9c293fce6dcf2684\",0,\"algebra_98449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 716630,
+      "path": "data/train/pde/numina-000778-0000-9932ead4b0bcbca9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9932ead4b0bcbca960f89dbda9f9786cbc97c33e2d0b4d8520b3d206b768cf13"
+    },
+    {
+      "bytes": 37296,
+      "path": "data/internal_test/pde/numina-000778-0000-d8ec4578d0b163b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d8ec4578d0b163b2d1feadb05790b0b3de0c0f55425cb073c4a2014e4fe2acf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000779.json b/manifests/batches/numina/000779.json
index 49925cad8701d03a07bccf091fb3d70db5eed130..f8c8f2305dc0b3ac38f5acdcc08612a469e3d8db 100644
--- a/manifests/batches/numina/000779.json
+++ b/manifests/batches/numina/000779.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000779",
   "batch_fingerprint": "d663721fa31e64d86f787d63e16fa335ac34c63f39f83e6998000c9a5dc8c5c0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000779-0000-a0aa2bf806f2f900.parquet",
-      "sha256": "a0aa2bf806f2f900d99a621c6ba786294d87954300386f80f86ec1e6844d54b1",
-      "bytes": 178757,
-      "rows": 28,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000779-0000-d7a28ebb1c5b023e.parquet",
-      "sha256": "d7a28ebb1c5b023ed0a7ada8e1fae5dda9010fa824bbfc0acd248e563e49773d",
-      "bytes": 35849,
-      "rows": 2,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:350d6834-3231-5d23-89e9-c7dc0f3fde0b",
     "numina:413b51a8-2c44-5d03-90f3-9058321ebf58",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003897.lean\",\"15a352a1e2a3148569398b68a77445469eafacc2e22e564ddcfc0dd1490acc0d\",0,\"number_theory_11171\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003898.lean\",\"0bf623c179c6c3d9e33119c7f01a5f29ed943855318b36626acfb63ff801948b\",0,\"algebra_11173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003899.lean\",\"99c022cdb10393d8e9488c292f59e2b5f16fc2a29a9938e1fc30d5b9682b2c5e\",0,\"algebra_98485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178757,
+      "path": "data/train/p29/numina-000779-0000-a0aa2bf806f2f900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a0aa2bf806f2f900d99a621c6ba786294d87954300386f80f86ec1e6844d54b1"
+    },
+    {
+      "bytes": 35849,
+      "path": "data/internal_test/p29/numina-000779-0000-d7a28ebb1c5b023e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d7a28ebb1c5b023ed0a7ada8e1fae5dda9010fa824bbfc0acd248e563e49773d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000780.json b/manifests/batches/numina/000780.json
index dc6966769aa09560a20e5bf27c114a526102f534..469fbddbe702c6523bbcf2cb193144a81229a301 100644
--- a/manifests/batches/numina/000780.json
+++ b/manifests/batches/numina/000780.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000780",
   "batch_fingerprint": "ce51f02b93334d56c56a33f79c896fab1133c93b25cd4d2a1e9bb8024402284c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000780-0000-97cece73ee527a6b.parquet",
-      "sha256": "97cece73ee527a6b1079b840203ef30d645b5b72ccdef1cacf08cb052c556695",
-      "bytes": 148315,
-      "rows": 23,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000780-0000-a4c633c64e066d61.parquet",
-      "sha256": "a4c633c64e066d617aec758b68ab2946624fe2cd9d07dbad622bde6e73035c70",
-      "bytes": 37326,
-      "rows": 2,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:009b138f-d887-5015-aabc-4907a8dfed98",
     "numina:13391edf-eea4-590b-99c3-ab8b3b68b2c2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003902.lean\",\"e7e89bab200674e55e39c94fd246860eddc43f1baab90bbdcd71faf5f565fac4\",0,\"algebra_22032\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003903.lean\",\"7887ab9718b78f8a5c8f96337eeb22b15c0f8a8bfd83a0ced864ce36715a33d9\",0,\"algebra_11174\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003904.lean\",\"bcbcc03cbc8cfde4b2260ccd5b101b0eb70661e520ab7594db32fda2e0078713\",0,\"algebra_22038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148315,
+      "path": "data/train/p6f/numina-000780-0000-97cece73ee527a6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "97cece73ee527a6b1079b840203ef30d645b5b72ccdef1cacf08cb052c556695"
+    },
+    {
+      "bytes": 37326,
+      "path": "data/internal_test/p6f/numina-000780-0000-a4c633c64e066d61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a4c633c64e066d617aec758b68ab2946624fe2cd9d07dbad622bde6e73035c70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000781.json b/manifests/batches/numina/000781.json
index eec2c34764882a07043d1f7f627a1e2975208221..12db5ba0415600fb8c170513a476930d134e9a5f 100644
--- a/manifests/batches/numina/000781.json
+++ b/manifests/batches/numina/000781.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000781",
   "batch_fingerprint": "b4357b499525e2979eba657e6c930a8e2f3da0dfc870bd66b3c45baa04218388",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000781-0000-c9115afe3e31e11f.parquet",
-      "sha256": "c9115afe3e31e11fec1f0b16e17b6d71571fbd34c3ddda575c857c2e4db645b7",
-      "bytes": 103494,
-      "rows": 20,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000781-0000-2db45a954df4dc19.parquet",
-      "sha256": "2db45a954df4dc19563521fc6be5a80c93ed59ca6f35ac3b4f4d98ed7311a576",
-      "bytes": 48919,
-      "rows": 5,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d67a32e-6f7e-5894-8945-358c1d297032",
     "numina:3dcb5edd-2d1d-5eca-a81c-56cfb5d8f926",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003907.lean\",\"9536f2a97ed612c0472738084d59055e374ae12335153c1cf30296b34c1bfe1b\",0,\"algebra_204210\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003908.lean\",\"b0e8c8f32f355926cd77adeea1ca1a36b8f9961fe87362830f3e95b2eb40c10c\",0,\"algebra_13906\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003909.lean\",\"9d38b8f9c0f2b08844bdbf5acb32f75ce5e9575774201a684c9991ef0055c4dd\",0,\"number_theory_11989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103494,
+      "path": "data/train/p1d/numina-000781-0000-c9115afe3e31e11f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c9115afe3e31e11fec1f0b16e17b6d71571fbd34c3ddda575c857c2e4db645b7"
+    },
+    {
+      "bytes": 48919,
+      "path": "data/internal_test/p1d/numina-000781-0000-2db45a954df4dc19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2db45a954df4dc19563521fc6be5a80c93ed59ca6f35ac3b4f4d98ed7311a576"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000782.json b/manifests/batches/numina/000782.json
index c27f2dbf843fdd78c3c6370d693143293a5f70b0..c1bc77a88cb56da8a15e82e7a47fa2a1161f951e 100644
--- a/manifests/batches/numina/000782.json
+++ b/manifests/batches/numina/000782.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000782",
   "batch_fingerprint": "99514a05d04aa4fc7d51699c5b19b8efb838f6479490bf60dcad3737fb837abd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000782-0000-42a2ed2cf4a1e838.parquet",
-      "sha256": "42a2ed2cf4a1e838eb81d526ae94cda99ac4405607f81f8d8a4f391563ff4501",
-      "bytes": 85135,
-      "rows": 16,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/internal_test/numina-000782-0000-15ad6784999849ed.parquet",
-      "sha256": "15ad6784999849ed7ca5337ef040ffc8dc1fff8a2f2abd9769deb6a1f797cf3d",
-      "bytes": 150979,
-      "rows": 6,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:359f2631-afce-56e1-975d-19ab577cbbb6",
     "numina:500f70cd-b0b6-57e4-bb7c-7aa550873963",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003912.lean\",\"096ff67be01e5710d70b2bba76d2fe5e026f1c6abf2da8c6e7e52d3a629c2bfd\",0,\"algebra_24606\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003913.lean\",\"f37ec2f6fcf06cebe507cfc30f016612d039d76d4379f8a11c5a28e9c745c6d9\",0,\"algebra_305870\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003914.lean\",\"ef84c2bc5d44810a57ec1b6d119c78e9e2a90b8fa3769d7960c7714e8469cf40\",0,\"inequalities_221986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85135,
+      "path": "data/train/p37/numina-000782-0000-42a2ed2cf4a1e838.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "42a2ed2cf4a1e838eb81d526ae94cda99ac4405607f81f8d8a4f391563ff4501"
+    },
+    {
+      "bytes": 150979,
+      "path": "data/internal_test/p37/numina-000782-0000-15ad6784999849ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "15ad6784999849ed7ca5337ef040ffc8dc1fff8a2f2abd9769deb6a1f797cf3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000783.json b/manifests/batches/numina/000783.json
index 146f0914de472c9529878eafa9dbef4ba8aca981..8a1b5b6b1f0971af39e839492a58c094cc2e5f3a 100644
--- a/manifests/batches/numina/000783.json
+++ b/manifests/batches/numina/000783.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000783",
   "batch_fingerprint": "6ea0f85aa46fad3317746f161d841e0d128b29447754597f706c43d91b33d3d4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000783-0000-e3d10403a23a0c52.parquet",
-      "sha256": "e3d10403a23a0c526908de1af78846e31536aa1509166b35a7bbb2fafc627780",
-      "bytes": 331300,
-      "rows": 29,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e559ffc-4a54-5567-a617-411f1e1d5dfc",
     "numina:26e84fcd-fc50-58c0-b09e-1db5a111afdc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003917.lean\",\"bf6f3946c97033f96af661b50d273ce360fa132f8d5d7928226b3f943eebafd6\",0,\"algebra_20427\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003918.lean\",\"1c8edfc43e1c136a5c00073d2a82d523f4044f999dd40209002de6f2f427b74f\",0,\"algebra_14207\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003919.lean\",\"9ff8b2c403909c57fc3197c7d34913f0cc7be7d4d50520a3ee7f8a6e485532ab\",0,\"number_theory_15019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331300,
+      "path": "data/train/p60/numina-000783-0000-e3d10403a23a0c52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e3d10403a23a0c526908de1af78846e31536aa1509166b35a7bbb2fafc627780"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000784.json b/manifests/batches/numina/000784.json
index 6e40aca5aa1b833fa2141512223dff7758e0dc0c..53668cd4541b02e70b7f4eb47fe437c7fed2ae06 100644
--- a/manifests/batches/numina/000784.json
+++ b/manifests/batches/numina/000784.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000784",
   "batch_fingerprint": "fa399a3830bcb2f907bbefa826f6d9b7cb77e6d7363723fc8c9606bb1b0955c5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000784-0000-09b8eff27782e2e4.parquet",
-      "sha256": "09b8eff27782e2e4e2896d81e1e72bfe59af234fc99e7a29a1370660fbdaedb7",
-      "bytes": 316316,
-      "rows": 8,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/train/numina-000784-0001-2cbb0c92a8adc3d2.parquet",
-      "sha256": "2cbb0c92a8adc3d2c5d2991e8f82fe0bbec5856fe586f7de0ac40f8acbe5b0a0",
-      "bytes": 926547,
-      "rows": 5,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    },
-    {
-      "path": "data/train/numina-000784-0002-f3d1d955bc70e93a.parquet",
-      "sha256": "f3d1d955bc70e93a6c6f99e4cf18b3b76591347fab218fb59ff24838c18dcf2f",
-      "bytes": 82180,
-      "rows": 24,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:42c29e70-5bf1-5dc8-a14e-2359529c65cc",
     "numina:ac911f03-01a5-5457-88ec-692562415673",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003922.lean\",\"c18160a0d3a061cbb788889146687a5b92de69b0779336af4a66316452651563\",0,\"algebra_112573\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003923.lean\",\"1a65acba1665e0d340f4faa17d9475fd977925de2c56bc7a039e83333f17e7b9\",0,\"algebra_126114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003924.lean\",\"572907fc011c20b2e77c504e5c16b40c90da45b50f76709deafc8d66e8936613\",0,\"algebra_22224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316316,
+      "path": "data/train/pb9/numina-000784-0000-09b8eff27782e2e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "09b8eff27782e2e4e2896d81e1e72bfe59af234fc99e7a29a1370660fbdaedb7"
+    },
+    {
+      "bytes": 926547,
+      "path": "data/train/pb9/numina-000784-0001-2cbb0c92a8adc3d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2cbb0c92a8adc3d2c5d2991e8f82fe0bbec5856fe586f7de0ac40f8acbe5b0a0"
+    },
+    {
+      "bytes": 82180,
+      "path": "data/train/pb9/numina-000784-0002-f3d1d955bc70e93a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f3d1d955bc70e93a6c6f99e4cf18b3b76591347fab218fb59ff24838c18dcf2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000785.json b/manifests/batches/numina/000785.json
index e8e9edd1e0a98c21355dc6aa6220611e17be3105..7681341a3b2e7d9e0001db1cc056a3c48ab25429 100644
--- a/manifests/batches/numina/000785.json
+++ b/manifests/batches/numina/000785.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000785",
   "batch_fingerprint": "1f9ed797d89de2f4e40a18d7d9de5ca1616c93058e378c16379f2a8d057a4367",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000785-0000-3e649ae78f60ad5d.parquet",
-      "sha256": "3e649ae78f60ad5df2a0fad2bbdf925741d4641202a3acf806f9c1c4226cbcab",
-      "bytes": 53811,
-      "rows": 5,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000785-0000-a37fe21637bc4609.parquet",
-      "sha256": "a37fe21637bc46095d04951354dbfb0c625c00fcc29af4c73bebc7345b614762",
-      "bytes": 147142,
-      "rows": 20,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ecad089-e39c-504d-8c9e-6563e0c37b2a",
     "numina:29346059-06b2-5801-9113-e9eb2e2ab6f7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003927.lean\",\"6a725c9c3451ce4bea9d62cd2cc529f42178a43c08b645f90436206884ff62c5\",0,\"inequalities_283376\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003928.lean\",\"6821769cfe755bda4fea0ecac63c7c3760d05a604457cc2cc2773607f869a725\",0,\"algebra_95958\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003929.lean\",\"a516d31ac40b91e614436e9f4c7beb3ae1ef58e04a6a09a88a6335f22e4a2394\",0,\"inequalities_126189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53811,
+      "path": "data/train/p22/numina-000785-0000-3e649ae78f60ad5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3e649ae78f60ad5df2a0fad2bbdf925741d4641202a3acf806f9c1c4226cbcab"
+    },
+    {
+      "bytes": 147142,
+      "path": "data/internal_test/p22/numina-000785-0000-a37fe21637bc4609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a37fe21637bc46095d04951354dbfb0c625c00fcc29af4c73bebc7345b614762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000786.json b/manifests/batches/numina/000786.json
index 89a004b55be11d0dc37044e6e85bf2b8015d67f9..24304c80dc56d1dd8ab19e61aec7fac83f62769f 100644
--- a/manifests/batches/numina/000786.json
+++ b/manifests/batches/numina/000786.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000786",
   "batch_fingerprint": "7509635abac824e430ca94d514b4ac4b4f937a21b2b36cf100e6ee4dc481a240",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000786-0000-24a185a52c3b33ed.parquet",
-      "sha256": "24a185a52c3b33ed67678ab41b21fd4829873b68a1d209b5f3d85fee773139f6",
-      "bytes": 99937,
-      "rows": 22,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000786-0000-9218a0952a513c90.parquet",
-      "sha256": "9218a0952a513c90982fd6e758dbee27a78a3727171eeb59b4d8da05e4d1884f",
-      "bytes": 112055,
-      "rows": 7,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13d805d4-e5b2-58f0-8039-d2d58a3672f1",
     "numina:60c6cbd7-4e66-54ea-a6b8-cb70507f2cdb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003932.lean\",\"1fce2e3774cd71a2d064651b603324a5c23a37d94d5b2d5b155f435f58c5d594\",0,\"algebra_283515\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003933.lean\",\"bfb302d8045d731ae29c8b7025f625399183e8ebfb18e525c4190242ee207a15\",0,\"algebra_1142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003934.lean\",\"6d62ad9319872b08fb58e030be8861cd3ed567f2ceb2e3166ff836f4e2ab9b97\",0,\"algebra_10618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99937,
+      "path": "data/train/pce/numina-000786-0000-24a185a52c3b33ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "24a185a52c3b33ed67678ab41b21fd4829873b68a1d209b5f3d85fee773139f6"
+    },
+    {
+      "bytes": 112055,
+      "path": "data/internal_test/pce/numina-000786-0000-9218a0952a513c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9218a0952a513c90982fd6e758dbee27a78a3727171eeb59b4d8da05e4d1884f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000787.json b/manifests/batches/numina/000787.json
index b0ae6191946441e59eb63cf8def983d665f11df0..d3af7ed45cf885161491d4465d01ec42b6fe0e20 100644
--- a/manifests/batches/numina/000787.json
+++ b/manifests/batches/numina/000787.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000787",
   "batch_fingerprint": "56ab5cb9aa537e24ae44425cbc2c758169e8cc8e0160cdb62fa619a15aa7eb22",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000787-0000-ccc8aff379583761.parquet",
-      "sha256": "ccc8aff379583761d1f118b7d9dcb9419c59b8e64f601fd882f9b1ab4584792d",
-      "bytes": 525926,
-      "rows": 56,
-      "revision": "64fc8efdeb33cf46a3852cb793e2b41c944cbb32"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3b543602-87f2-54d5-884b-19ac1c567c8f",
     "numina:7b35714e-57c5-5e5b-91cd-c50682986ae5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003937.lean\",\"7d72b59733eb0be2bf375ab8ff005de543e4c80728a9b0ab81494a9817047e27\",0,\"algebra_605750\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003938.lean\",\"187bbedadcf6f4164f34e737e349f2809ba93ceda7215952f207e7c363e69498\",0,\"algebra_274527\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003939.lean\",\"08ef982a27b16878f5546f0840fa3ddaa8a37640aace36fdd1dd162f731354cb\",0,\"AIME_Algebra_94679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525926,
+      "path": "data/train/p53/numina-000787-0000-ccc8aff379583761.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "ccc8aff379583761d1f118b7d9dcb9419c59b8e64f601fd882f9b1ab4584792d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000788.json b/manifests/batches/numina/000788.json
index 6667090ec31abef2146dbe29aeba499ad3cd3fc5..d2f200fd5c4760d871b34d82aa903af7e54e865b 100644
--- a/manifests/batches/numina/000788.json
+++ b/manifests/batches/numina/000788.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000788",
   "batch_fingerprint": "41c42431fd6e3338085e5ec2ef408390c61169efa502d104534290d47ce89418",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000788-0000-1c7db3ec6763a4a4.parquet",
-      "sha256": "1c7db3ec6763a4a414663fb53bbd760f37056208e558cebb569886d7efb5019e",
-      "bytes": 69889,
-      "rows": 20,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d9a7d36-3b52-5e34-b14b-76080cb225b1",
     "numina:442ba594-69f5-5dbb-923c-f92fd417e47f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003942.lean\",\"c7bc29b04acc674bc0b35b9f0de721b5280f5d87233806d4afc0a371628ac506\",0,\"algebra_22239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003943.lean\",\"15980d963e08ab951a192d78c401b5e97753ed398e4dfce17d3257f1c8a08f21\",0,\"inequalities_182345\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003944.lean\",\"a3e7ddd1b96e8203d2f5002a7ceeaf66f6ea34d615774a29ae958825dec7bfdc\",0,\"algebra_22243\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69889,
+      "path": "data/train/p2c/numina-000788-0000-1c7db3ec6763a4a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1c7db3ec6763a4a414663fb53bbd760f37056208e558cebb569886d7efb5019e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000789.json b/manifests/batches/numina/000789.json
index 9f424ae48e545878cf9156a586cf61bc3085577f..b84851b19b40f7592df653b4a6e454a4d1b58f83 100644
--- a/manifests/batches/numina/000789.json
+++ b/manifests/batches/numina/000789.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000789",
   "batch_fingerprint": "16afe1d965aabbeac208c7e231eab0a1db4faab1c5583f20baa4c9c321923beb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000789-0000-8edaca0d9410d966.parquet",
-      "sha256": "8edaca0d9410d966769cbeb51a7a284664541adfcd61aac04ce227f70b70f4cf",
-      "bytes": 249763,
-      "rows": 51,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bc405d7-950d-5ac2-a176-cb10301033fc",
     "numina:221c417d-df6f-5af8-9a92-6854d6ee30e5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003947.lean\",\"2d132ec52baba69db8487ac230f7df20d375d76a5fe7f1eb7a56ba6f10b35e4f\",0,\"algebra_93859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003948.lean\",\"83a737e9a5ea927fccbb4ae2d6b92434002d1a9d1a8e85662e1e38cb88fba36e\",0,\"number_theory_605548\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003949.lean\",\"0e0bf77ed12a398190aa23407ead2d48f12a2ce31931e96c9cfac71a5172b229\",0,\"number_theory_4920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249763,
+      "path": "data/train/pe4/numina-000789-0000-8edaca0d9410d966.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "8edaca0d9410d966769cbeb51a7a284664541adfcd61aac04ce227f70b70f4cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000790.json b/manifests/batches/numina/000790.json
index 08eff8ca868f010e2f619aea7ebc0845de7c823e..3a0c18778485b1b5892fddde1968dfe39e57796e 100644
--- a/manifests/batches/numina/000790.json
+++ b/manifests/batches/numina/000790.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000790",
   "batch_fingerprint": "721f08646b1e15f35eb983ab5d3af18a6d8a5ebf45a9e3c054a106fade1a1174",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000790-0000-dd1ba39c1890d361.parquet",
-      "sha256": "dd1ba39c1890d361d279decc95335986125dbaf61029c05f6e2c7032ba745bc7",
-      "bytes": 156843,
-      "rows": 10,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/dev/numina-000790-0000-671de852724d3fdf.parquet",
-      "sha256": "671de852724d3fdf2e821e5ae39d9d1a9f237ef36276f8a3c01b7330bbcd3b2d",
-      "bytes": 30047,
-      "rows": 1,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5144efb1-f07f-5a9b-ac34-9f39ef7328bc",
     "numina:62b5a896-c882-5733-a9bb-cd2b741cb0e8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003952.lean\",\"398c861c92fe043c2a64f81757dd82e2c02e8656b5689484918a07c23d020180\",0,\"algebra_10318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003953.lean\",\"d55ada79f21f05eaf808579a53461b7e13ec3c5c8235d035db99c5ddbb24fcec\",0,\"number_theory_605553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003954.lean\",\"ca73931b510db595febada5c87a49d4ac7283780131f5a0837fbf8490f7b3d7d\",0,\"number_theory_274635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156843,
+      "path": "data/train/p08/numina-000790-0000-dd1ba39c1890d361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "dd1ba39c1890d361d279decc95335986125dbaf61029c05f6e2c7032ba745bc7"
+    },
+    {
+      "bytes": 30047,
+      "path": "data/dev/p08/numina-000790-0000-671de852724d3fdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "671de852724d3fdf2e821e5ae39d9d1a9f237ef36276f8a3c01b7330bbcd3b2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000791.json b/manifests/batches/numina/000791.json
index d97f62dc06dd09b174ce6dfa113350f3c8ff1788..9664c1a839ee201bac09691eef67b6819c31050a 100644
--- a/manifests/batches/numina/000791.json
+++ b/manifests/batches/numina/000791.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000791",
   "batch_fingerprint": "7d1edf12bd50f8ab2a921f9f630ee394f57e6f71fdf142b76a711600571f186b",
   "evidence": {
@@ -67,15 +66,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000791-0000-c2826f34ca7a3c1e.parquet",
-      "sha256": "c2826f34ca7a3c1e42470b1e8dfd98476a802d06ad5f5d0ee73083b72ea31abb",
-      "bytes": 636032,
-      "rows": 88,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bedad70-1390-5602-9f96-118630d84815",
     "numina:917764ed-7766-5813-a919-c18ff0fce42b",
@@ -87,5 +78,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003956.lean\",\"e78a8bba53faa68b438abc5dadc376e1166b73a7be5d6b90b2337b458b59bc33\",0,\"algebra_13209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003957.lean\",\"0f072204881666cb1bde477dc32e9b9b12b2831b7169686e242b915583d78775\",0,\"inequalities_9164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003958.lean\",\"e867d598cf923738e6fd0c7b0dc092d770e4e8ecb01592ac9ed2c1d955facae9\",0,\"number_theory_604390\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 636032,
+      "path": "data/train/p5f/numina-000791-0000-c2826f34ca7a3c1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 88,
+      "sha256": "c2826f34ca7a3c1e42470b1e8dfd98476a802d06ad5f5d0ee73083b72ea31abb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000792.json b/manifests/batches/numina/000792.json
index f303fca696e1347b98e1b0e5e4da4baef162721a..ad56257260befd242968988bec8564fb44a5f401 100644
--- a/manifests/batches/numina/000792.json
+++ b/manifests/batches/numina/000792.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000792",
   "batch_fingerprint": "7921224c42052040833389886b173785d113483b9309991ecea2b80efa71a4aa",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000792-0000-6c64f97a40f33aa9.parquet",
-      "sha256": "6c64f97a40f33aa9570d202b1ed7e445826a581949523f593bc20611b416c28b",
-      "bytes": 448094,
-      "rows": 21,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/train/numina-000792-0001-41aa553576a835e9.parquet",
-      "sha256": "41aa553576a835e9a86a3087b513092920a420658aa5a1760fb9e74da7404a08",
-      "bytes": 272920,
-      "rows": 5,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/numina-000792-0000-7f33590f5e94b507.parquet",
-      "sha256": "7f33590f5e94b5073d942ec8cf363f7bc960020c0ebb544121aaead24fd860a9",
-      "bytes": 34812,
-      "rows": 3,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10f9247b-7ed0-5dd9-8b54-9b03da13e61d",
     "numina:259d8367-7c00-5cce-99ea-78296c56054a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003962.lean\",\"a7cd9f0798812a7ed81c8e85a5c9cc92de952a5a7ee5e50b907f6b82f2d172b4\",0,\"algebra_10332\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003963.lean\",\"f2e86432a2de5e72429ed9dc81b45b18c1d495b5c4745426d4c71152aece72cc\",0,\"algebra_93152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003964.lean\",\"e1be132f41ce8331f1b163bb71cf9ce0d559d0db959f3f7b974a6c3b29b75a20\",0,\"number_theory_14889\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 448094,
+      "path": "data/train/p4b/numina-000792-0000-6c64f97a40f33aa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6c64f97a40f33aa9570d202b1ed7e445826a581949523f593bc20611b416c28b"
+    },
+    {
+      "bytes": 272920,
+      "path": "data/train/p4b/numina-000792-0001-41aa553576a835e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "41aa553576a835e9a86a3087b513092920a420658aa5a1760fb9e74da7404a08"
+    },
+    {
+      "bytes": 34812,
+      "path": "data/internal_test/p4b/numina-000792-0000-7f33590f5e94b507.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7f33590f5e94b5073d942ec8cf363f7bc960020c0ebb544121aaead24fd860a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000793.json b/manifests/batches/numina/000793.json
index debc4c560ebc723e154ef4a60b51538a400970b9..c47deb83b4dc333e4c1b1a25b1f7e5574e5c9bb7 100644
--- a/manifests/batches/numina/000793.json
+++ b/manifests/batches/numina/000793.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000793",
   "batch_fingerprint": "23db0f48f322b657772238962faff43c0820aa8c098659b5db8fe51f8273a0d0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000793-0000-ab2622b8e7854220.parquet",
-      "sha256": "ab2622b8e7854220b04b84d880397098088e5895f4c7c2913b7feefc9a200329",
-      "bytes": 116819,
-      "rows": 28,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000793-0000-56336f07b308d57f.parquet",
-      "sha256": "56336f07b308d57fa240ecabf5db55d2a3a3f1c9d66c24480709dbb0d50aa7aa",
-      "bytes": 30585,
-      "rows": 5,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b907c78-366c-5708-8d16-b152a98daba9",
     "numina:58716395-592d-5c9b-8057-5368f2d987ef",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003967.lean\",\"247d4f8e12504bf65a4c229a57df08ceafac4c1e00be4be408ae34dda75a9827\",0,\"number_theory_66595\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003968.lean\",\"47cfa12a8b002fd5ac71580ea6e242ea9aacedb8d179665238a85d93f7e0f262\",0,\"number_theory_13474\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003969.lean\",\"6d855beebf5c491c496b51622af87aa22c22b134f5b95449555f3d8f08b1f15b\",0,\"algebra_20593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116819,
+      "path": "data/train/pf8/numina-000793-0000-ab2622b8e7854220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "ab2622b8e7854220b04b84d880397098088e5895f4c7c2913b7feefc9a200329"
+    },
+    {
+      "bytes": 30585,
+      "path": "data/internal_test/pf8/numina-000793-0000-56336f07b308d57f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "56336f07b308d57fa240ecabf5db55d2a3a3f1c9d66c24480709dbb0d50aa7aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000794.json b/manifests/batches/numina/000794.json
index c3d39b5e3c3b7934a99904c255025b947e451dee..2f94ccc5722cd43bcfb0e697728469b418583a0e 100644
--- a/manifests/batches/numina/000794.json
+++ b/manifests/batches/numina/000794.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000794",
   "batch_fingerprint": "4c1427048bcbb050f591f2ef8a59cd6134909d0ab9812eb511723c5f8fd61ba6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000794-0000-f54c8309da24427d.parquet",
-      "sha256": "f54c8309da24427daf1483d7658c813d7e834c09ec55fd56d2625881e88a1428",
-      "bytes": 249273,
-      "rows": 12,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/dev/numina-000794-0000-70a1323697e6f20c.parquet",
-      "sha256": "70a1323697e6f20c8bf6c4d52ded755e862296cd171f968499f2ff41d2b42b51",
-      "bytes": 176301,
-      "rows": 8,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/numina-000794-0000-b52960ebcf668542.parquet",
-      "sha256": "b52960ebcf668542672d25dcb14b11229359c8745fb839d7697aa07c1d7f095d",
-      "bytes": 148387,
-      "rows": 3,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e7604ad-5bf5-5706-beac-f4362021da04",
     "numina:54e92391-6066-5a23-99f4-44fceecdc931",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003972.lean\",\"878e6535fcfb9ddc2e08f2c8daa351d1a0d8bb7ef45c5e56230d6b792699dd64\",0,\"algebra_237218\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003973.lean\",\"fd90bd61752d9872b5595baf1566c637760f7c9b204319d9c38118d5a5cbb82a\",0,\"algebra_10197\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003974.lean\",\"704b9f0df627cd3a13a16a8660314e61b088085052011d3ea5c2d725594a3fcb\",0,\"algebra_610068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249273,
+      "path": "data/train/p5c/numina-000794-0000-f54c8309da24427d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f54c8309da24427daf1483d7658c813d7e834c09ec55fd56d2625881e88a1428"
+    },
+    {
+      "bytes": 176301,
+      "path": "data/dev/p5c/numina-000794-0000-70a1323697e6f20c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "70a1323697e6f20c8bf6c4d52ded755e862296cd171f968499f2ff41d2b42b51"
+    },
+    {
+      "bytes": 148387,
+      "path": "data/internal_test/p5c/numina-000794-0000-b52960ebcf668542.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b52960ebcf668542672d25dcb14b11229359c8745fb839d7697aa07c1d7f095d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000795.json b/manifests/batches/numina/000795.json
index c02a4b8b85b1c1c7ddbb713130b90436e3887c10..112a9457daf47ff91849e79ba97913062a5744c1 100644
--- a/manifests/batches/numina/000795.json
+++ b/manifests/batches/numina/000795.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000795",
   "batch_fingerprint": "0a0643cf049093a63128deda60a9cb678dadf064e92d938a85d4d1557af727c6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000795-0000-8a774059069b101b.parquet",
-      "sha256": "8a774059069b101be4d959c379ed12a6098c0ad2c4afd1ecb9ad40a469563e02",
-      "bytes": 148734,
-      "rows": 19,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22f16324-e228-5b78-a185-f6ac3624ca26",
     "numina:440f2c7c-8bbd-5708-927c-ef053fd35bd3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003977.lean\",\"16049b5e4024d414430fb7102640bf72f266065dd8482024972b30182e6645cd\",0,\"algebra_607365\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003978.lean\",\"69fb52adf321691d97fd6fc1bbb9ea7c5487adef334fcda49d4453e637c9e0d1\",0,\"algebra_93094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003979.lean\",\"6d553b6f0db1dd12fdabcd3da46bc4eef7a642c82dd008ecd45282d0b28c1a8e\",0,\"algebra_14137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148734,
+      "path": "data/train/pb8/numina-000795-0000-8a774059069b101b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8a774059069b101be4d959c379ed12a6098c0ad2c4afd1ecb9ad40a469563e02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000796.json b/manifests/batches/numina/000796.json
index 5c4abe56c4ff06eef68b8475fa066b2ac884244f..7fd01095ddcc6807a55fbef6d3519d04be9f6199 100644
--- a/manifests/batches/numina/000796.json
+++ b/manifests/batches/numina/000796.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000796",
   "batch_fingerprint": "93e9c1d410de15024fdc63e9817d0464e2fb590df03e72da998109a28714df89",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000796-0000-c36f920104f87f64.parquet",
-      "sha256": "c36f920104f87f648faea8b7e504ffd3171105c0764286c4e6a7944d3673a704",
-      "bytes": 142094,
-      "rows": 17,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    },
-    {
-      "path": "data/internal_test/numina-000796-0000-e8211bc9c5f64c45.parquet",
-      "sha256": "e8211bc9c5f64c454507ec95018be7d99ab44a77e1332ab4de019a8c5016431f",
-      "bytes": 59729,
-      "rows": 13,
-      "revision": "72f9dd5fbc51641d5598011e33b051ead62bf343"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:072b0804-bf6f-51fe-a4d1-adb4cc3dc3b0",
     "numina:4b08b471-8764-524d-b300-269e610ad084",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003982.lean\",\"5438971f0ce0f2cb33c5b4e388ae4e6df00532448d25112778d69458d6772608\",0,\"algebra_11817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003983.lean\",\"69bf97fab9b3a0d8b0408e5dae285b46235ec0b3d9b60fe856630e7c5259e96b\",0,\"algebra_12592\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003984.lean\",\"ad14722c47cf58af372c97335a4b8c6f266a3e5854aee915ea7da8dfddc431ce\",0,\"number_theory_607371\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142094,
+      "path": "data/train/p89/numina-000796-0000-c36f920104f87f64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c36f920104f87f648faea8b7e504ffd3171105c0764286c4e6a7944d3673a704"
+    },
+    {
+      "bytes": 59729,
+      "path": "data/internal_test/p89/numina-000796-0000-e8211bc9c5f64c45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e8211bc9c5f64c454507ec95018be7d99ab44a77e1332ab4de019a8c5016431f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000797.json b/manifests/batches/numina/000797.json
index 31f3e11b0b121e2943b863f28657ec3b40d411aa..403c7b3e82473f26b9a848594edc04aade721366 100644
--- a/manifests/batches/numina/000797.json
+++ b/manifests/batches/numina/000797.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000797",
   "batch_fingerprint": "785c008db3248318a8042e8372b3d9aff706182a3146b41fdd172cfc58c153b7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000797-0000-dae191feb774b66f.parquet",
-      "sha256": "dae191feb774b66ff456a3f529786e9265219833fb9f1f04c7bf269657186b00",
-      "bytes": 178594,
-      "rows": 13,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    },
-    {
-      "path": "data/internal_test/numina-000797-0000-b4e30b9ba9b2d91d.parquet",
-      "sha256": "b4e30b9ba9b2d91d53088b28f02c6e20653601f422f4e6cf69f6b80ff21d296f",
-      "bytes": 125854,
-      "rows": 5,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5cfbe343-b06d-5fce-83c8-141f9db35588",
     "numina:5dd09853-8e90-59a5-a638-8a10a21d4b97",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003987.lean\",\"39ba6bbbe6e45f72336d690b0e1868e50181f105a54ed1068655369b854bf23e\",0,\"algebra_9429\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003988.lean\",\"702884f3d3ef0c27ac68548228850cdd69f6df95e9758a2289944970433e9f4d\",0,\"algebra_15079\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003989.lean\",\"d6b74a44e1ef5f28d8fe12cc83f78de339a4d27cfb59859edddb9bd99eebf3a6\",0,\"algebra_607861\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178594,
+      "path": "data/train/p08/numina-000797-0000-dae191feb774b66f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dae191feb774b66ff456a3f529786e9265219833fb9f1f04c7bf269657186b00"
+    },
+    {
+      "bytes": 125854,
+      "path": "data/internal_test/p08/numina-000797-0000-b4e30b9ba9b2d91d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b4e30b9ba9b2d91d53088b28f02c6e20653601f422f4e6cf69f6b80ff21d296f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000798.json b/manifests/batches/numina/000798.json
index 042cb4767e0eee42c5e20ce4432d0d687b639c38..0c9c0ad95ec018a96cc5fff29952312b88305d81 100644
--- a/manifests/batches/numina/000798.json
+++ b/manifests/batches/numina/000798.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000798",
   "batch_fingerprint": "dd398e9fc207ee8e26b964b2f06903c82b72edd5e24c1f6e0e25b3a466414c2e",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:063f4c29-a172-5fac-9182-4c00cff1ce40",
+    "numina:12908f67-47e7-5c53-abe2-6e327126b37d",
+    "numina:481caef2-3dc2-5625-b141-f5026d33d4d4",
+    "numina:8e1bd63f-3951-5e75-8ab8-0214df47f607",
+    "numina:dfb63cd4-6f1b-5257-ba1f-e3c06e244410"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003990.lean\",\"a77a2a882f88b47129f94c09eb4c4be7321a896776ee8379c2c143512c2a9d5f\",0,\"inequalities_103505\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003991.lean\",\"c08d12a8ca8e8bc39e74987ad7a518ac9934d367d61775dfffc59dcdce219a82\",0,\"algebra_604971\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003992.lean\",\"b5aa9ea9a656be98c6fbf2cd67c3a56aeb5071bd866647a5bf0355fee2ab0211\",0,\"calculus_15083\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003993.lean\",\"8d8da0c6523f971b61a1669b7f286d66f3a8e4b5f160ce2ffe970d06b5ab9488\",0,\"number_theory_607874\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003994.lean\",\"3f2d4e1969e9a2922764c09a52d52d0dfbdb6d25834cb57d72fe640cdae323ec\",0,\"inequalities_604973\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000798-0000-bee8895fcf6440e1.parquet",
-      "sha256": "bee8895fcf6440e1056d822155c9b25ae49cf9182921c7c835772b738cd0df24",
       "bytes": 306897,
+      "path": "data/train/pb0/numina-000798-0000-bee8895fcf6440e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 31,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
+      "sha256": "bee8895fcf6440e1056d822155c9b25ae49cf9182921c7c835772b738cd0df24"
     },
     {
-      "path": "data/train/numina-000798-0001-15e6b29d73890156.parquet",
-      "sha256": "15e6b29d738901561498c17912f86ce7b30582f1614bf948eefb32e11635a235",
       "bytes": 652085,
+      "path": "data/train/pb0/numina-000798-0001-15e6b29d73890156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
+      "sha256": "15e6b29d738901561498c17912f86ce7b30582f1614bf948eefb32e11635a235"
     },
     {
-      "path": "data/train/numina-000798-0002-3d7ee325f2f7e024.parquet",
-      "sha256": "3d7ee325f2f7e02492d15d00ddd794959ad57a7a7640569846cdcc59bd596316",
       "bytes": 472561,
+      "path": "data/train/pb0/numina-000798-0002-3d7ee325f2f7e024.parquet",
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       "rows": 14,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
+      "sha256": "3d7ee325f2f7e02492d15d00ddd794959ad57a7a7640569846cdcc59bd596316"
     },
     {
-      "path": "data/train/numina-000798-0003-57df606fad709da9.parquet",
-      "sha256": "57df606fad709da9daba308bdcb49c8803386fefd1ec918fb1e20be862a3e5a8",
       "bytes": 522700,
+      "path": "data/train/pb0/numina-000798-0003-57df606fad709da9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 64,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
+      "sha256": "57df606fad709da9daba308bdcb49c8803386fefd1ec918fb1e20be862a3e5a8"
     },
     {
-      "path": "data/train/numina-000798-0004-62c6b60c07f11eca.parquet",
-      "sha256": "62c6b60c07f11eca7267a617d81f45c163c476f7395b04be758c4a833ae23462",
       "bytes": 449676,
+      "path": "data/train/pb0/numina-000798-0004-62c6b60c07f11eca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5cdfe377d964d5ff906a298ec47870774a2b1244"
+      "sha256": "62c6b60c07f11eca7267a617d81f45c163c476f7395b04be758c4a833ae23462"
     }
-  ],
-  "proof_ids": [
-    "numina:063f4c29-a172-5fac-9182-4c00cff1ce40",
-    "numina:12908f67-47e7-5c53-abe2-6e327126b37d",
-    "numina:481caef2-3dc2-5625-b141-f5026d33d4d4",
-    "numina:8e1bd63f-3951-5e75-8ab8-0214df47f607",
-    "numina:dfb63cd4-6f1b-5257-ba1f-e3c06e244410"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003990.lean\",\"a77a2a882f88b47129f94c09eb4c4be7321a896776ee8379c2c143512c2a9d5f\",0,\"inequalities_103505\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003991.lean\",\"c08d12a8ca8e8bc39e74987ad7a518ac9934d367d61775dfffc59dcdce219a82\",0,\"algebra_604971\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003992.lean\",\"b5aa9ea9a656be98c6fbf2cd67c3a56aeb5071bd866647a5bf0355fee2ab0211\",0,\"calculus_15083\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003993.lean\",\"8d8da0c6523f971b61a1669b7f286d66f3a8e4b5f160ce2ffe970d06b5ab9488\",0,\"number_theory_607874\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003994.lean\",\"3f2d4e1969e9a2922764c09a52d52d0dfbdb6d25834cb57d72fe640cdae323ec\",0,\"inequalities_604973\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000799.json b/manifests/batches/numina/000799.json
index 603959d73722a2147305cac43e56a111b6220c72..5f192fa2d1e306eb1175f24e4e7d175eb13ae92f 100644
--- a/manifests/batches/numina/000799.json
+++ b/manifests/batches/numina/000799.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000799",
   "batch_fingerprint": "a909e883e2a4d483011fe2f49842f1f04b6bb4784a0eb3fe15190f22ec1aa125",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000799-0000-1fa9e0e314ef9f3a.parquet",
-      "sha256": "1fa9e0e314ef9f3ab3f796840c84e16d0753828b97de4f88700958bc6d1277af",
-      "bytes": 347272,
-      "rows": 43,
-      "revision": "956b2dde35a9448a262ee67f2360b082fa8a917f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:549c747c-c184-53c0-a936-cb91556b90de",
     "numina:982ffec9-d92a-52c3-bc5b-544e8c51c210",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003997.lean\",\"bd6962d750cf6aca0f39dbb8dc770fd31f85203368080bdcf73fde39da26508c\",0,\"algebra_9434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003998.lean\",\"6273c01377e59b8057b6888133e37518b73bdceb0005250c6f3f43581a22e032\",0,\"algebra_85760\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_003999.lean\",\"f29666961cf9f30ba58c88b186904341856d36a7b6fd1c3d91b59e97822ab26c\",0,\"number_theory_115152\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347272,
+      "path": "data/train/pbd/numina-000799-0000-1fa9e0e314ef9f3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "1fa9e0e314ef9f3ab3f796840c84e16d0753828b97de4f88700958bc6d1277af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000800.json b/manifests/batches/numina/000800.json
index f5042dac50e6679e20fb458318ed422db8b26f93..87c4c5597f888b4d9934d7254d8baf3e6a1ea967 100644
--- a/manifests/batches/numina/000800.json
+++ b/manifests/batches/numina/000800.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000800",
   "batch_fingerprint": "1e2e66a5d7dfd6c09315793ebcf952c08591aac4f571400fdf7eb15c820655c6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000800-0000-661387e447a8bec0.parquet",
-      "sha256": "661387e447a8bec018c30f9afa322636f9f2e37c68db599cb4580dd4c3aba8c3",
-      "bytes": 51298,
-      "rows": 5,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/numina-000800-0000-7ab518e4d7ba2fc8.parquet",
-      "sha256": "7ab518e4d7ba2fc8cdb4ae54303abe6ba3fc0592179b3f1c5c3cde68b484c2bd",
-      "bytes": 22176,
-      "rows": 1,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/numina-000800-0000-4e22c4daa3607c1c.parquet",
-      "sha256": "4e22c4daa3607c1cb86248e3209cee46e66ef4bade39bc0daef2695105655bee",
-      "bytes": 241209,
-      "rows": 15,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ba40a15-a510-5182-b605-5b9165a44b9a",
     "numina:2d4cb206-5d68-5d7f-92aa-d758a5de180a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004002.lean\",\"70ce36e627b3b4d6df16fdab17f090a87d0fa7e2bf13122bc142d6493ac10346\",0,\"number_theory_4521\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004003.lean\",\"6d7ac99266ff862b6853807196bfeb492c21514d265bbf7376f889a7ee739033\",0,\"algebra_13577\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004004.lean\",\"e58bc4cc8d5a0812da55bb065185d260cd8a66d06b087de29f9335c4900203bf\",0,\"algebra_12285\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51298,
+      "path": "data/train/p6d/numina-000800-0000-661387e447a8bec0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "661387e447a8bec018c30f9afa322636f9f2e37c68db599cb4580dd4c3aba8c3"
+    },
+    {
+      "bytes": 22176,
+      "path": "data/dev/p6d/numina-000800-0000-7ab518e4d7ba2fc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7ab518e4d7ba2fc8cdb4ae54303abe6ba3fc0592179b3f1c5c3cde68b484c2bd"
+    },
+    {
+      "bytes": 241209,
+      "path": "data/internal_test/p6d/numina-000800-0000-4e22c4daa3607c1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4e22c4daa3607c1cb86248e3209cee46e66ef4bade39bc0daef2695105655bee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000801.json b/manifests/batches/numina/000801.json
index 624d7e4bffd70fcbebdca9497378bea61c5d5ef9..5784048b8a9ff99d33954a7a9f5d1c156d906eff 100644
--- a/manifests/batches/numina/000801.json
+++ b/manifests/batches/numina/000801.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000801",
   "batch_fingerprint": "02fcedd974c7559d33527666219475f9b3a9ac2d85538d195c5839008cf98f90",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000801-0000-3bfa1545eb71cf15.parquet",
-      "sha256": "3bfa1545eb71cf155d37af030e99ff51f716c67ac717a7f9c3c38b1c8baf61ce",
-      "bytes": 140913,
-      "rows": 27,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:366dc139-db25-534b-9f62-70bb32f13f71",
     "numina:3ff0af1e-8635-564d-b637-318acfeed9cd",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004007.lean\",\"dfa8da0ea48b3cecf4e5d8fde956900acedc7802977314de68ce3476437f0482\",0,\"number_theory_15276\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004008.lean\",\"6a3910c646a01aa064cae97a08dd8f419a98f4320f872dbafd906c4199717823\",0,\"algebra_12290\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004009.lean\",\"92bec63cdda8971ee9a44cc5805b6835347ecd597937fb88c6e9589b2cccafb1\",0,\"number_theory_202717\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140913,
+      "path": "data/train/p9c/numina-000801-0000-3bfa1545eb71cf15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3bfa1545eb71cf155d37af030e99ff51f716c67ac717a7f9c3c38b1c8baf61ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000802.json b/manifests/batches/numina/000802.json
index 42b194b5b64c6112a30570d2dc95be1eed1333e7..e5e684c3c886157aaf5ed59b05900340ac41730a 100644
--- a/manifests/batches/numina/000802.json
+++ b/manifests/batches/numina/000802.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000802",
   "batch_fingerprint": "49c86141d8ec4c8ec18fec98d4b59a74cd19525ff71625478600e089b13780f1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000802-0000-83238c93d19d8bcf.parquet",
-      "sha256": "83238c93d19d8bcff2240d1930715b4e01321ad8eda6f1f39bb228efedeadcb3",
-      "bytes": 192218,
-      "rows": 31,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/numina-000802-0000-1348d88e91a873fa.parquet",
-      "sha256": "1348d88e91a873fa339939caac57a6acf4a60ee9ac0a75f088653713f26cc025",
-      "bytes": 110910,
-      "rows": 6,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5d156a5d-0bf6-5dc2-8146-7b2418c2bce9",
     "numina:620f0c92-1257-5f58-815c-75d91322d0b8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004012.lean\",\"faba64a1893f3ff1cfd67e9bcbce10a56ef0766ed89dfeb353be52e59307a224\",0,\"algebra_22343\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004013.lean\",\"8cc8db8b5c25eb2757f6bafb60120e6af8dcde58921f6f3a6b8f675d6fa215a4\",0,\"algebra_15279\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004014.lean\",\"bf43a4524dc47d97c1c400a6aa490a02550f51f75b63faf0c5dcc20aa642b681\",0,\"Algebra_610435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192218,
+      "path": "data/train/p37/numina-000802-0000-83238c93d19d8bcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "83238c93d19d8bcff2240d1930715b4e01321ad8eda6f1f39bb228efedeadcb3"
+    },
+    {
+      "bytes": 110910,
+      "path": "data/internal_test/p37/numina-000802-0000-1348d88e91a873fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1348d88e91a873fa339939caac57a6acf4a60ee9ac0a75f088653713f26cc025"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000803.json b/manifests/batches/numina/000803.json
index efb40d4c9a37694ae0f611adf8f5e60b98922b52..3954967972ab3596a5188d5fd610b6c2e9f916fb 100644
--- a/manifests/batches/numina/000803.json
+++ b/manifests/batches/numina/000803.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000803",
   "batch_fingerprint": "92ff1b031e47888899deb59a96e60b8c9d597b6595b231681cb667195dc6fab8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000803-0000-68dd4b02b825cde5.parquet",
-      "sha256": "68dd4b02b825cde5f9b58bc916f5ddde00b948a4f728b5b0c5d185482bb9962a",
-      "bytes": 51386,
-      "rows": 13,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/dev/numina-000803-0000-ccdc3bca4be72985.parquet",
-      "sha256": "ccdc3bca4be729850d7a1f5d9cbe194a0195f2b4d9976f9f6d865f24003f76ac",
-      "bytes": 135023,
-      "rows": 3,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    },
-    {
-      "path": "data/internal_test/numina-000803-0000-6f2c08509f7dcd62.parquet",
-      "sha256": "6f2c08509f7dcd62e90ab7dab8caa814192010f9d9d3e4ee455bff04b4c4e282",
-      "bytes": 256370,
-      "rows": 3,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:058b547e-31e9-5ebc-b0e4-c0e52ed29fe4",
     "numina:56eb12a8-bb5c-5321-9011-bdfe7741b926",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004017.lean\",\"257e2cc3d84e06d3a28bdc1b5bdf779f56d4bccda74ffa353256a66857385ab3\",0,\"number_theory_15616\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004018.lean\",\"c679b7fcec23946c65561a96b2ed75311f3136ecd1130414a137be02279217a0\",0,\"algebra_20715\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004019.lean\",\"f2bbe242602f0f0d21c7efa7eb52cac902cfa658ca98cfbdba434ad701145c7b\",0,\"number_theory_15761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51386,
+      "path": "data/train/p2f/numina-000803-0000-68dd4b02b825cde5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "68dd4b02b825cde5f9b58bc916f5ddde00b948a4f728b5b0c5d185482bb9962a"
+    },
+    {
+      "bytes": 135023,
+      "path": "data/dev/p2f/numina-000803-0000-ccdc3bca4be72985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ccdc3bca4be729850d7a1f5d9cbe194a0195f2b4d9976f9f6d865f24003f76ac"
+    },
+    {
+      "bytes": 256370,
+      "path": "data/internal_test/p2f/numina-000803-0000-6f2c08509f7dcd62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6f2c08509f7dcd62e90ab7dab8caa814192010f9d9d3e4ee455bff04b4c4e282"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000804.json b/manifests/batches/numina/000804.json
index cf5297985366343240cc6f201f6e1fe798fce1d0..6e0ea51ba84aa19893ab94a81f29a9ae55682444 100644
--- a/manifests/batches/numina/000804.json
+++ b/manifests/batches/numina/000804.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000804",
   "batch_fingerprint": "d3724f27a3e9bee7ee7c3406a5a3939ab4216aae205fcef5a24e52134411733c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000804-0000-06100bf458f48c5b.parquet",
-      "sha256": "06100bf458f48c5b59e7858fad55beb0ec41bb5248dfb8c6f2a2591f2797956e",
-      "bytes": 254418,
-      "rows": 32,
-      "revision": "ce92adc8419e579145c7ebf24e7986f7b0b47845"
-    },
-    {
-      "path": "data/dev/numina-000804-0000-36d2bb49603ddaed.parquet",
-      "sha256": "36d2bb49603ddaedbe3472f3da77d748ddd578154276e901b5dee803d48202f9",
-      "bytes": 22633,
-      "rows": 1,
-      "revision": "ce92adc8419e579145c7ebf24e7986f7b0b47845"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08acb0c8-2768-56e5-9032-c92b0ce67260",
     "numina:aa761cbd-938e-59e2-82be-2ce6f5c701c7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004022.lean\",\"61b9ca7ddc097f21fd7e9225f72d386b833425b00ee2a19f0fbeed0ecd4233ce\",0,\"number_theory_17170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004023.lean\",\"ef321dada8e2c5bc9f2a4c9021e4fc2c3354aae600cf2bd9e8580a0764234135\",0,\"number_theory_263061\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004024.lean\",\"b401e1eb0fcde9bfea59587873d12861eabcf435b4958bc1f7c6d4862f2630a1\",0,\"algebra_15765\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254418,
+      "path": "data/train/p08/numina-000804-0000-06100bf458f48c5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "06100bf458f48c5b59e7858fad55beb0ec41bb5248dfb8c6f2a2591f2797956e"
+    },
+    {
+      "bytes": 22633,
+      "path": "data/dev/p08/numina-000804-0000-36d2bb49603ddaed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "36d2bb49603ddaedbe3472f3da77d748ddd578154276e901b5dee803d48202f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000805.json b/manifests/batches/numina/000805.json
index 369572aabc7d801d3bfae72931d4eac04acbe226..f21f0ebaf19dd44b778c7e1f07015932129b63f8 100644
--- a/manifests/batches/numina/000805.json
+++ b/manifests/batches/numina/000805.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000805",
   "batch_fingerprint": "d34d4a1521e90300ecded072dabac4beb24143b2ac3524f35cc9facb5fccc2c8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000805-0000-0e377b50a601ee9d.parquet",
-      "sha256": "0e377b50a601ee9d7ffad7011a1e337eb213537e585adb9538505d36d7cf086c",
-      "bytes": 388524,
-      "rows": 51,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:78c01904-da93-5a07-818d-a50d3b668b7c",
     "numina:9492d22f-de60-5b08-b9b4-3e85fe38d846",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004027.lean\",\"d2207792c1698eb62b8d4ca7d299896a2d3f7a8c260a55a3cb361ceff177c44f\",0,\"number_theory_38027\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004028.lean\",\"e95533be04ec49ce732e74bce96f9a5d13bb769109f6b05a9f0a46ceb9e66ad2\",0,\"Algebra_696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004029.lean\",\"2eaff3ed0c5e67b56f9f14e2eb92c9c4bb4e769576e383671a4ff7c2fe396e05\",0,\"algebra_85320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388524,
+      "path": "data/train/pbf/numina-000805-0000-0e377b50a601ee9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "0e377b50a601ee9d7ffad7011a1e337eb213537e585adb9538505d36d7cf086c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000806.json b/manifests/batches/numina/000806.json
index 987e532a2ad483996850170bb5a232a70b0e61a2..91f196681f0fdce7287eca1d3f5533e0226f47e0 100644
--- a/manifests/batches/numina/000806.json
+++ b/manifests/batches/numina/000806.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000806",
   "batch_fingerprint": "cf503f14ba0f721f4bceeaf48a0658aff5fe3b49703e51ed3fe887ef9f3d1eab",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000806-0000-88d864ae81d86100.parquet",
-      "sha256": "88d864ae81d86100128f3fd725329e408e440e57c27e1ad87ffb1df80ac8ca2a",
-      "bytes": 39443,
-      "rows": 2,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/train/numina-000806-0001-fc4e08e650282ae0.parquet",
-      "sha256": "fc4e08e650282ae0ce256258c49d6b493f5736c751677a23f8fa4e5e60fd3a37",
-      "bytes": 980317,
-      "rows": 1,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/train/numina-000806-0002-c6e2ed456c71a37b.parquet",
-      "sha256": "c6e2ed456c71a37b0ce7988dcc4379393535cc7f95304cc206fba6313396edf9",
-      "bytes": 322888,
-      "rows": 53,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:243a71cf-b2e6-5c09-8f81-3a92ffd78497",
     "numina:271c44a4-2f9e-5cbc-95e3-edb48ad057f2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004032.lean\",\"ad984c0c14327578c6b4d9f92539ef2523212c272b938389cb0e3cf2aafaced2\",0,\"number_theory_4997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004033.lean\",\"11c37bbc5137882603c5a5dd0d0d6bc8f7ade930fa867d69d4ec096fdf34723c\",0,\"algebra_93459\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004034.lean\",\"e2bfbd11fc46bdc8c441a75329303da68e4ab18c7494f7097caae515114dfae6\",0,\"algebra_95002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39443,
+      "path": "data/train/p53/numina-000806-0000-88d864ae81d86100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "88d864ae81d86100128f3fd725329e408e440e57c27e1ad87ffb1df80ac8ca2a"
+    },
+    {
+      "bytes": 980317,
+      "path": "data/train/p53/numina-000806-0001-fc4e08e650282ae0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fc4e08e650282ae0ce256258c49d6b493f5736c751677a23f8fa4e5e60fd3a37"
+    },
+    {
+      "bytes": 322888,
+      "path": "data/train/p53/numina-000806-0002-c6e2ed456c71a37b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "c6e2ed456c71a37b0ce7988dcc4379393535cc7f95304cc206fba6313396edf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000807.json b/manifests/batches/numina/000807.json
index 57b84f5c6ec129763a2211561a1b30aa910dbc40..861bdf5d5ca2e6343c616d80e5cb5e81cb4b8ca9 100644
--- a/manifests/batches/numina/000807.json
+++ b/manifests/batches/numina/000807.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000807",
   "batch_fingerprint": "13cd8e9bdd41c45ac51c92da2139dd3bd45fc82c8693452dc299f462571e3e82",
   "evidence": {
@@ -27,15 +26,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000807-0000-ca4b40fd2522e5c5.parquet",
-      "sha256": "ca4b40fd2522e5c50230e35b7be3c4f0123f5a2e7eca1f07d8a01d754b893fba",
-      "bytes": 515686,
-      "rows": 47,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15fb314a-fdbb-52d8-8e27-827ca6f99159",
     "numina:2ca21479-97c4-5263-aa89-9c4da7ef58ec",
@@ -49,5 +40,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004037.lean\",\"f23af56c5e3e7db3019ce5a8ea8e0dd50e99e0cd2f1dfbdfe548f3b774b85f37\",0,\"number_theory_213453\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004038.lean\",\"3e1122070fea3064468bf0d9a2361c66d514959b0ea8026f12bf9a0d7db062f2\",0,\"algebra_608633\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004039.lean\",\"a9879e37c373ca111e179ea2ab51906b968b0b2c2ec48ea37fbc3c1ca2b44bea\",0,\"algebra_113064\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515686,
+      "path": "data/train/pf6/numina-000807-0000-ca4b40fd2522e5c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "ca4b40fd2522e5c50230e35b7be3c4f0123f5a2e7eca1f07d8a01d754b893fba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000808.json b/manifests/batches/numina/000808.json
index bdd9f21368e585ee1f86ec5a3a2228998b099ba5..d3c3d52f3171b9d085309e94ebafb0bfedc6c203 100644
--- a/manifests/batches/numina/000808.json
+++ b/manifests/batches/numina/000808.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000808",
   "batch_fingerprint": "0cb3d4abbc05f8388780569b0024b8b5d45ad95bb2daea98c471239c96b46275",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000808-0000-8bb3b883e7bd8f0b.parquet",
-      "sha256": "8bb3b883e7bd8f0b42e4d418fcb8172dcb167d965f7fe565723bb09f055a8822",
-      "bytes": 606616,
-      "rows": 57,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/train/numina-000808-0001-b9529073d3001114.parquet",
-      "sha256": "b9529073d30011148d19e2e9f1d7a856499d126da8c00695b1ccc3982cfd3d7f",
-      "bytes": 249517,
-      "rows": 5,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36f3bed5-4f3e-595f-a286-128f7b6014ae",
     "numina:84235504-cabd-55e4-a150-176180c1b2cd",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004042.lean\",\"4181419903730df4fdbd2a8ba79b28031d59fa8926e3686bc540929c8fda87b2\",0,\"number_theory_5003\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004043.lean\",\"87b11db26b189d31958cfffd02c7cc509b515eba8a6699c9f394037c364e548c\",0,\"calculus_608264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004044.lean\",\"cf871f4294812e3558eff84b2874750d8f520c775139cd5ac635c81abff70f49\",1,\"number_theory_5013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 606616,
+      "path": "data/train/pbe/numina-000808-0000-8bb3b883e7bd8f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "8bb3b883e7bd8f0b42e4d418fcb8172dcb167d965f7fe565723bb09f055a8822"
+    },
+    {
+      "bytes": 249517,
+      "path": "data/train/pbe/numina-000808-0001-b9529073d3001114.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b9529073d30011148d19e2e9f1d7a856499d126da8c00695b1ccc3982cfd3d7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000809.json b/manifests/batches/numina/000809.json
index e3a741496e9f86190930f254a272e261b25a9133..9813985f55cdcdd5f2ba3b6712c17323a45ccde0 100644
--- a/manifests/batches/numina/000809.json
+++ b/manifests/batches/numina/000809.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000809",
   "batch_fingerprint": "b16d4ed105ece595e11ec038e182b0d6327a07f022033a62e323056a45264b09",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000809-0000-f285a480e7b646c3.parquet",
-      "sha256": "f285a480e7b646c3c32e3c511a5ff11da331b40c5f27fe3bacfb182072dcaade",
-      "bytes": 226189,
-      "rows": 35,
-      "revision": "70ee00ac877c5531f089679b81400f33489743ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4ff58f19-5939-565d-91e2-137ea573db97",
     "numina:9b9e57b5-7f76-5227-b983-7508003d066a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004047.lean\",\"30513c3d44df7e512cdda6debde74a1517f091e043f18fb2f00e1b30c24bc322\",0,\"algebra_14092\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004048.lean\",\"ba06fb38069349dc737c83ae97997c67539209b14ed966df91196b82ebee07c3\",0,\"number_theory_5014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004049.lean\",\"290eab36e9bd584b8e5c292b63aa8f4f51d6bad867e8031854e2439a134a3a41\",0,\"algebra_9465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226189,
+      "path": "data/train/p4a/numina-000809-0000-f285a480e7b646c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "f285a480e7b646c3c32e3c511a5ff11da331b40c5f27fe3bacfb182072dcaade"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000810.json b/manifests/batches/numina/000810.json
index 01ecd291f8cd9355d2c7828acbe0f6ad1d4bf451..9d82b092054c787cb016114b195071e3e7d3a566 100644
--- a/manifests/batches/numina/000810.json
+++ b/manifests/batches/numina/000810.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000810",
   "batch_fingerprint": "554c7752398de5fd020eb3be518e3c3bb7e0363c5b82a026028906843ec8f5f4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000810-0000-10b60fc2abd455b5.parquet",
-      "sha256": "10b60fc2abd455b59947541ee0b2282d909744aa09ddc3869593586c770f421e",
-      "bytes": 114078,
-      "rows": 18,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/dev/numina-000810-0000-da74b5e057e5aa48.parquet",
-      "sha256": "da74b5e057e5aa4814e749e44a8d5f4c4ae8cd2f1ab04c9e7cf5c725d9253749",
-      "bytes": 96965,
-      "rows": 11,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    },
-    {
-      "path": "data/internal_test/numina-000810-0000-5fcf9819b76cbc57.parquet",
-      "sha256": "5fcf9819b76cbc57f42571bd08ba1359a1c9acea3e73f0490b24fc381d77dc16",
-      "bytes": 267712,
-      "rows": 5,
-      "revision": "d61dfb00717c6a4d71c5c76bb065fc056fe2930b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:99a1fdc3-13aa-555e-8fec-bb2a8ac3658f",
     "numina:af519c75-f168-538b-bbce-b7b7822f6443",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004052.lean\",\"22439cd918c7cbfe94fcd6e2494528f2b497c31e9847b0279f225cf5eb9fdeec\",0,\"algebra_3951\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004053.lean\",\"c27922402232713d5d10a313c67526fa3e10a955ccdab1a32902f066851e4f15\",0,\"algebra_15145\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004054.lean\",\"5e79554095acac072b8301065df0e629648371fa3ea45c46152806c39c4e915b\",0,\"inequalities_183895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114078,
+      "path": "data/train/p3c/numina-000810-0000-10b60fc2abd455b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "10b60fc2abd455b59947541ee0b2282d909744aa09ddc3869593586c770f421e"
+    },
+    {
+      "bytes": 96965,
+      "path": "data/dev/p3c/numina-000810-0000-da74b5e057e5aa48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "da74b5e057e5aa4814e749e44a8d5f4c4ae8cd2f1ab04c9e7cf5c725d9253749"
+    },
+    {
+      "bytes": 267712,
+      "path": "data/internal_test/p3c/numina-000810-0000-5fcf9819b76cbc57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5fcf9819b76cbc57f42571bd08ba1359a1c9acea3e73f0490b24fc381d77dc16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000811.json b/manifests/batches/numina/000811.json
index 5a6e40e966baab05ede6936251dad348351cbfef..4c6caf7fa5e9216578139144d5a4d7b58cb0849c 100644
--- a/manifests/batches/numina/000811.json
+++ b/manifests/batches/numina/000811.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000811",
   "batch_fingerprint": "1159d44bb9f9eb4e1a6bdd115df188918fff83bf809c3da23ccd64532b08bf89",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000811-0000-a41337d365fa8e9f.parquet",
-      "sha256": "a41337d365fa8e9f4e1e55558f4d59a0a5123425236370c54396b20e791017e8",
-      "bytes": 33024,
-      "rows": 4,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/numina-000811-0000-5395fb9e015bfea1.parquet",
-      "sha256": "5395fb9e015bfea103a3e015f776006d16256d30e1923ae99e279908f1e72811",
-      "bytes": 239635,
-      "rows": 14,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3121ac65-c67f-57a7-8730-69d48e5e641a",
     "numina:57b2e6ef-c84b-54c8-bebf-356ebbb5a57f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004057.lean\",\"0e21dbeec2141c78d95b71daa25cfa71c257c35a5afc427557b8c676143229f0\",0,\"algebra_1136\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004058.lean\",\"8b4eb88658d69cf28cc055c18d9616e315aac917b52e559bd1c0b63b36e07bca\",0,\"algebra_167474\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004059.lean\",\"18470cd7d2271d2da88f674c4a6bf0365d10e2d8330a29b27b377c4a6540791f\",0,\"number_theory_605357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 33024,
+      "path": "data/train/p31/numina-000811-0000-a41337d365fa8e9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a41337d365fa8e9f4e1e55558f4d59a0a5123425236370c54396b20e791017e8"
+    },
+    {
+      "bytes": 239635,
+      "path": "data/internal_test/p31/numina-000811-0000-5395fb9e015bfea1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5395fb9e015bfea103a3e015f776006d16256d30e1923ae99e279908f1e72811"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000812.json b/manifests/batches/numina/000812.json
index c1af793525d635499a27316ca2300a5265763c11..06a69530ebf83efb0b63cc5cdb055124612e7ef7 100644
--- a/manifests/batches/numina/000812.json
+++ b/manifests/batches/numina/000812.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000812",
   "batch_fingerprint": "b443f0af2632561d5786d4cbab828827058c4e5ce6f0817dfefc4feec0a898fd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000812-0000-f2d226dc65a9315b.parquet",
-      "sha256": "f2d226dc65a9315b8d856da9f4d99c21bea03868260e8fdc72fa34cf49164bdd",
-      "bytes": 292090,
-      "rows": 47,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:525fdfcb-447d-55b1-ad07-65cff18c607a",
     "numina:5cd26bd6-420b-5bb1-91a8-8cce9a8479e7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004062.lean\",\"74e03f02c844abb2eec1fffeca0b8dee2bb53db862f9a353d4e6d050225479ac\",0,\"algebra_20801\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004063.lean\",\"cd45d3ac421eb08934a7cc54b2aef35091be6605526c8010cd117975e0f70434\",0,\"algebra_95199\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004064.lean\",\"8e7037452fb6a112e780908921f5ea5df42711b35d6e2c6f5088c4df90578632\",0,\"algebra_15153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292090,
+      "path": "data/train/p25/numina-000812-0000-f2d226dc65a9315b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "f2d226dc65a9315b8d856da9f4d99c21bea03868260e8fdc72fa34cf49164bdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000813.json b/manifests/batches/numina/000813.json
index d36e83559e2f5b6468086183d753966e5b128015..05d98faafcf464907459a19112919e79eb5cd74d 100644
--- a/manifests/batches/numina/000813.json
+++ b/manifests/batches/numina/000813.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000813",
   "batch_fingerprint": "3696d50d4749a4191811db4067ccd35ddae864025f0bcad3fba96d2989d2c5cf",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3d6e1aef-5917-5895-b2b9-80b4f511be33",
+    "numina:3fcca4a6-6dfd-536e-9551-b7ec4b192713",
+    "numina:51f232e8-e80b-56c6-8fc2-a7cfff3b1048",
+    "numina:6e161779-4ad8-52ac-9be3-96c340a0061a",
+    "numina:f841dc19-ae32-5f0d-8a0f-916f2ffd7c6e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004065.lean\",\"e5391828ebd17fc7b073a0eee22132805c688032331a1ba070a25a8cbbd04da5\",0,\"algebra_607796\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004066.lean\",\"71ac7e5c517cbaacc913fc2cc24772cbf644aab97a95308098cb6af3a27edf8e\",0,\"algebra_156880\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004067.lean\",\"be26fb344e753c9b76c1d422f0f5fe5d36c6c2cb795382d0e1744e058c1c3969\",0,\"algebra_16261\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004068.lean\",\"b927775e8e4ada575cd38fe0dac55436e00d5570e64a00f533dcab51ba556b73\",0,\"number_theory_609585\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004069.lean\",\"a39f97c946bd0fbca5f3bdb223362729033b25a0da5387459056a5307367a1f7\",0,\"algebra_16266\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000813-0000-9f1aa82c575c9ed0.parquet",
-      "sha256": "9f1aa82c575c9ed0ad3259b50b2be87fe8c4f7d33bdb511c0e0e6b1272df1902",
       "bytes": 650460,
+      "path": "data/train/ped/numina-000813-0000-9f1aa82c575c9ed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
+      "sha256": "9f1aa82c575c9ed0ad3259b50b2be87fe8c4f7d33bdb511c0e0e6b1272df1902"
     },
     {
-      "path": "data/train/numina-000813-0001-8467efe5747bcd45.parquet",
-      "sha256": "8467efe5747bcd4568a99359aa8059db1e208585da802dbfd8a80f7d7387c33e",
       "bytes": 1182880,
+      "path": "data/train/ped/numina-000813-0001-8467efe5747bcd45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
+      "sha256": "8467efe5747bcd4568a99359aa8059db1e208585da802dbfd8a80f7d7387c33e"
     },
     {
-      "path": "data/train/numina-000813-0002-f2747f9fdd623ea8.parquet",
-      "sha256": "f2747f9fdd623ea89f24331028f33a94b5fac2c79e31c21b94e2390bd60e7f2a",
       "bytes": 1675610,
+      "path": "data/train/ped/numina-000813-0002-f2747f9fdd623ea8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
+      "sha256": "f2747f9fdd623ea89f24331028f33a94b5fac2c79e31c21b94e2390bd60e7f2a"
     },
     {
-      "path": "data/train/numina-000813-0003-c4bb06d84f76ef60.parquet",
-      "sha256": "c4bb06d84f76ef6030ad18b6e9dacd09f81371fe56f9cf4be78ec7454bb7a968",
       "bytes": 958556,
+      "path": "data/train/ped/numina-000813-0003-c4bb06d84f76ef60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
+      "sha256": "c4bb06d84f76ef6030ad18b6e9dacd09f81371fe56f9cf4be78ec7454bb7a968"
     }
-  ],
-  "proof_ids": [
-    "numina:3d6e1aef-5917-5895-b2b9-80b4f511be33",
-    "numina:3fcca4a6-6dfd-536e-9551-b7ec4b192713",
-    "numina:51f232e8-e80b-56c6-8fc2-a7cfff3b1048",
-    "numina:6e161779-4ad8-52ac-9be3-96c340a0061a",
-    "numina:f841dc19-ae32-5f0d-8a0f-916f2ffd7c6e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004065.lean\",\"e5391828ebd17fc7b073a0eee22132805c688032331a1ba070a25a8cbbd04da5\",0,\"algebra_607796\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004066.lean\",\"71ac7e5c517cbaacc913fc2cc24772cbf644aab97a95308098cb6af3a27edf8e\",0,\"algebra_156880\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004067.lean\",\"be26fb344e753c9b76c1d422f0f5fe5d36c6c2cb795382d0e1744e058c1c3969\",0,\"algebra_16261\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004068.lean\",\"b927775e8e4ada575cd38fe0dac55436e00d5570e64a00f533dcab51ba556b73\",0,\"number_theory_609585\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004069.lean\",\"a39f97c946bd0fbca5f3bdb223362729033b25a0da5387459056a5307367a1f7\",0,\"algebra_16266\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000814.json b/manifests/batches/numina/000814.json
index f59ddf7b558d29b81163c00ec83649d55fd13c2f..373ac0fe8c656f384dabdc0bd8048b551f3b6e8c 100644
--- a/manifests/batches/numina/000814.json
+++ b/manifests/batches/numina/000814.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000814",
   "batch_fingerprint": "bc121579df53aa597d64adaabb23fc24c5d685d822b58afd92b01b648603a693",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000814-0000-e8f890f6e5e0c412.parquet",
-      "sha256": "e8f890f6e5e0c412258523fbe040778ebba0a2db8d638da2835ae884a62de791",
-      "bytes": 87059,
-      "rows": 19,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/train/numina-000814-0001-a358d556cb266be5.parquet",
-      "sha256": "a358d556cb266be57d6cb96d7c6bbf50eca1c8d378095a47a50bfefb39808451",
-      "bytes": 817341,
-      "rows": 1,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    },
-    {
-      "path": "data/train/numina-000814-0002-eed2b9064d272c6e.parquet",
-      "sha256": "eed2b9064d272c6ec61ad106c82ef76c4576b72fc7c6f9cb98cfb3cc9c665bed",
-      "bytes": 31780,
-      "rows": 1,
-      "revision": "b4baf7f2ae1728e06b8bcc1a68d75fb89179addb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11d27565-3387-5925-9953-5060d507f194",
     "numina:535c413d-0937-590e-abf0-70002259f009",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004072.lean\",\"808ed834246fde6eb795c664a5e6ddc1e8e82ddc1025ed42ef25d9bf1fdee20c\",0,\"number_theory_16272\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004073.lean\",\"fd686b963e2e2b9fbd516dc9810d359f41d4d8e1f67a6cd8b4552b0db62a3e49\",0,\"algebra_20809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004074.lean\",\"c1f3893d3aa52e75e42c442f32275f0e07af3290ae3d8785c06e98e1adaf4ae5\",0,\"algebra_605098\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87059,
+      "path": "data/train/pfc/numina-000814-0000-e8f890f6e5e0c412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e8f890f6e5e0c412258523fbe040778ebba0a2db8d638da2835ae884a62de791"
+    },
+    {
+      "bytes": 817341,
+      "path": "data/train/pfc/numina-000814-0001-a358d556cb266be5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a358d556cb266be57d6cb96d7c6bbf50eca1c8d378095a47a50bfefb39808451"
+    },
+    {
+      "bytes": 31780,
+      "path": "data/train/pfc/numina-000814-0002-eed2b9064d272c6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "eed2b9064d272c6ec61ad106c82ef76c4576b72fc7c6f9cb98cfb3cc9c665bed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000815.json b/manifests/batches/numina/000815.json
index 742b99df38d43d47d12860f7e9c8f7bf64a28318..78d55b51c04c16a4d2309c885740c18399502a85 100644
--- a/manifests/batches/numina/000815.json
+++ b/manifests/batches/numina/000815.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000815",
   "batch_fingerprint": "1b289528f2afd57be0500e4ba140109245a85c4c8ae1e02e88dbd90999c69091",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000815-0000-e74d0583a0e419a3.parquet",
-      "sha256": "e74d0583a0e419a32e4a7bb9e023e33bce1a86ab8d932311aabac5073e3d680f",
-      "bytes": 66036,
-      "rows": 18,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16646841-6ad2-526c-aaa7-235ee3f46212",
     "numina:5e323eec-d402-533d-b892-dfe7b940dfe0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004077.lean\",\"544b1d54c383add63cca16a6917a23500698916af29c37a3333b0404137c9338\",0,\"algebra_12912\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004078.lean\",\"61ba012e32f11580e323d07ed1e22a2f25ac4203a30c4e55c7ef7af8a79c89e4\",0,\"number_theory_4560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004079.lean\",\"39aa28c625e38696cd3060ce036375880416d3fb0845296197b77be543e71259\",0,\"number_theory_127918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66036,
+      "path": "data/train/pb4/numina-000815-0000-e74d0583a0e419a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e74d0583a0e419a32e4a7bb9e023e33bce1a86ab8d932311aabac5073e3d680f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000816.json b/manifests/batches/numina/000816.json
index aa3474f016f7b62670af70dadf7519edd1b785fb..5a015dd011ddb9ca5481c096553f41e6a26aead0 100644
--- a/manifests/batches/numina/000816.json
+++ b/manifests/batches/numina/000816.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000816",
   "batch_fingerprint": "44cab17c227d3d2969ccac4a40590fe948b41e81407de50057831ea5d0af4abe",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000816-0000-9e9dbd346ee9ae9a.parquet",
-      "sha256": "9e9dbd346ee9ae9ae617ff9cbd0c317038b7485e6038d9e9c6eae8a161e36dd7",
-      "bytes": 39955,
-      "rows": 7,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/numina-000816-0000-faf15eeaa4b6305f.parquet",
-      "sha256": "faf15eeaa4b6305fc6d8f645b79856455d9789cb2cf00ccf85bfcee2b9be16d8",
-      "bytes": 105487,
-      "rows": 20,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34b2dbc3-33e9-52a6-b6bd-8bfaca9cead2",
     "numina:46d59402-f13a-5e6e-94bb-31ec15fa38d1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004082.lean\",\"1895eb654051aa592b96050d9414585ab33f1bce76df2425c3df7f6406ce0c54\",0,\"algebra_12921\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004083.lean\",\"1bf8ac72fba62e86db616a02e9f90f6856ce7b1d8a540970d35acb53618f7632\",0,\"number_theory_15219\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004084.lean\",\"f94bca47c8e78a98651d1863e3e9edf50ca66b38800e4bb8fa2d5fdf9542e982\",0,\"number_theory_264578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39955,
+      "path": "data/train/p18/numina-000816-0000-9e9dbd346ee9ae9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9e9dbd346ee9ae9ae617ff9cbd0c317038b7485e6038d9e9c6eae8a161e36dd7"
+    },
+    {
+      "bytes": 105487,
+      "path": "data/internal_test/p18/numina-000816-0000-faf15eeaa4b6305f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "faf15eeaa4b6305fc6d8f645b79856455d9789cb2cf00ccf85bfcee2b9be16d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000817.json b/manifests/batches/numina/000817.json
index f8b559013a96b03b403c3ef5f57e69e4bd799e93..df812a15aa1d88940d045f39d9569314b2bdd8e7 100644
--- a/manifests/batches/numina/000817.json
+++ b/manifests/batches/numina/000817.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000817",
   "batch_fingerprint": "ae15efe246560b710ceb66b3a1869629f355a43d67a32f77cbc06cb6618f241b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000817-0000-54ecdaa5095006b5.parquet",
-      "sha256": "54ecdaa5095006b583170cabf047d01b2fc95ec6b56f9c817118097b30397109",
-      "bytes": 273023,
-      "rows": 16,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:58a834a6-5e8c-55ee-94d8-6facb69ed37f",
     "numina:5a7fc501-05ee-5093-ae1e-f40fa482b2bc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004087.lean\",\"eaba6f28213d855bdd4fcd2900c935299d5cb31e2ace6d59296d7965b7bfcd70\",0,\"inequalities_2236\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004088.lean\",\"bc5e797f4776bce62ca1405dd216d25cd013f9c27d84014c2da07102de2f97a9\",0,\"algebra_609926\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004089.lean\",\"09f594e7b65c8fe6728adb22600e48d0d385846a5152987ef825d617cf621d97\",0,\"number_theory_96331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273023,
+      "path": "data/train/p49/numina-000817-0000-54ecdaa5095006b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "54ecdaa5095006b583170cabf047d01b2fc95ec6b56f9c817118097b30397109"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000818.json b/manifests/batches/numina/000818.json
index c719432e4f79ded009a25dd362f8f5f6b9d3553c..ee7591bac3d6d7d8e4266c27e9560f62345182f9 100644
--- a/manifests/batches/numina/000818.json
+++ b/manifests/batches/numina/000818.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000818",
   "batch_fingerprint": "ac49a76ccc5d2bd4a8aae80d95412f53a2ef11a5e5ce492a346afc91f33f656f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000818-0000-1fdd3d681791392b.parquet",
-      "sha256": "1fdd3d681791392bdd11dabb9317283372dad96476b9ddc437690f273a47dcc1",
-      "bytes": 82475,
-      "rows": 17,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/internal_test/numina-000818-0000-1439d778c459bc16.parquet",
-      "sha256": "1439d778c459bc16c68793159d11ff3f24d52b63a80c2994c1c4661e6091327a",
-      "bytes": 38041,
-      "rows": 2,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5e987250-9d05-56ce-ba34-21dacf0af756",
     "numina:7bb2672b-4964-5979-9308-d33380c3fa8d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004092.lean\",\"88ba62462957a30835697d2f8d6978884f661c3431c630854736d9ae2e41d882\",0,\"number_theory_4506\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004093.lean\",\"08ec8d4dc9cc78272108a802445a2a0b3a468957f455b6e04421866138b83fe7\",0,\"number_theory_4507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004094.lean\",\"3d178c1ddb9e28d8561ca6859c1eef03eab0e32f136e0a942a61bbf8f4c16d3e\",0,\"algebra_9347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82475,
+      "path": "data/train/pf8/numina-000818-0000-1fdd3d681791392b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1fdd3d681791392bdd11dabb9317283372dad96476b9ddc437690f273a47dcc1"
+    },
+    {
+      "bytes": 38041,
+      "path": "data/internal_test/pf8/numina-000818-0000-1439d778c459bc16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1439d778c459bc16c68793159d11ff3f24d52b63a80c2994c1c4661e6091327a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000819.json b/manifests/batches/numina/000819.json
index 22d0f8d5cc30cc0c74c2b1c26e56a75fcedbf7de..f72fb5dfeae25be9c09e12381416c90c183cf232 100644
--- a/manifests/batches/numina/000819.json
+++ b/manifests/batches/numina/000819.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000819",
   "batch_fingerprint": "64c7d11d2561ec60dfc7509f3968089390f240ffb4ed4a86edbcf1303b4cacc2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000819-0000-b9a154de7f38f1bc.parquet",
-      "sha256": "b9a154de7f38f1bcb7da1410776f6772f9090e3a1f51dad115081f13bec4c94d",
-      "bytes": 66799,
-      "rows": 20,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    },
-    {
-      "path": "data/dev/numina-000819-0000-2a23018ce8eae4a5.parquet",
-      "sha256": "2a23018ce8eae4a5d0d61f8296fabd71e5bc5dbb268c7d87fa2f7c859d1d6c71",
-      "bytes": 105777,
-      "rows": 19,
-      "revision": "52619317f58e21d0a4477eb8784038b301eae80c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:95cc16d3-0dbe-5ea7-8a67-94f493c0292c",
     "numina:a81a9e35-aab0-5029-8b6f-7dd84cc30c7f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004097.lean\",\"f8f5062ab94b24f0f1c8fb51e010cd36e7748d733e9136017cb45f010e76fa10\",0,\"algebra_9352\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004098.lean\",\"e2bc406784d31431ae8c6e4a695b9bfd2b121b9998a3eb88af9c0415e99b7a11\",0,\"algebra_11246\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004099.lean\",\"76400025cd2141f5ffd1c34df1011e663a6a32e6ca8f93ffa5358717e2c6498e\",0,\"algebra_254040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66799,
+      "path": "data/train/p2e/numina-000819-0000-b9a154de7f38f1bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "b9a154de7f38f1bcb7da1410776f6772f9090e3a1f51dad115081f13bec4c94d"
+    },
+    {
+      "bytes": 105777,
+      "path": "data/dev/p2e/numina-000819-0000-2a23018ce8eae4a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2a23018ce8eae4a5d0d61f8296fabd71e5bc5dbb268c7d87fa2f7c859d1d6c71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000820.json b/manifests/batches/numina/000820.json
index f25c74b36b6d2072b3634af53b1fdbc2e16f692a..27d1faa010caf0287eded4e1f44b28e764b5580b 100644
--- a/manifests/batches/numina/000820.json
+++ b/manifests/batches/numina/000820.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000820",
   "batch_fingerprint": "19a3e5101b3e208b95137dd2190b5f9e9730442590944455654d1814673a3f5f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000820-0000-9ee171c21be4b7e2.parquet",
-      "sha256": "9ee171c21be4b7e2eb5b17f2913d43a625ee98d4d04a25e6ca67647a74c9b875",
-      "bytes": 41727,
-      "rows": 7,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/numina-000820-0000-67fa05f29348af50.parquet",
-      "sha256": "67fa05f29348af50a91a621300dbe5ab105c15c6f0b6c84b1bf5aae6282945c2",
-      "bytes": 444096,
-      "rows": 77,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02867743-998e-58c9-9f0c-b7a1ff917deb",
     "numina:4260e68a-c655-55b1-b377-10576fb84908",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004102.lean\",\"216052f89904b6e3aa0484ee0431e376ed4d7e7bf3776fb4a4419f571c02ee39\",0,\"number_theory_16067\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004103.lean\",\"ec107444ab6ed77583702c49755948f659df7ea0cab4f35ca7d3cd7eb2093417\",0,\"algebra_11252\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004104.lean\",\"435477337de02d2e342d64ad37c50c4aa996b09446e785bc889cd15bc3b67967\",0,\"number_theory_16076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41727,
+      "path": "data/train/p8f/numina-000820-0000-9ee171c21be4b7e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9ee171c21be4b7e2eb5b17f2913d43a625ee98d4d04a25e6ca67647a74c9b875"
+    },
+    {
+      "bytes": 444096,
+      "path": "data/internal_test/p8f/numina-000820-0000-67fa05f29348af50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "67fa05f29348af50a91a621300dbe5ab105c15c6f0b6c84b1bf5aae6282945c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000821.json b/manifests/batches/numina/000821.json
index 46f0438aae9de35613adc84d264a1e8af4e8b360..2eab6dacf254dddf1a3c941901b4375f43806489 100644
--- a/manifests/batches/numina/000821.json
+++ b/manifests/batches/numina/000821.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000821",
   "batch_fingerprint": "e02e9ae480437eef298db64bc13c96359e223a8623964dfc744ada2b9f7f705a",
   "evidence": {
@@ -51,39 +50,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:464663e7-2107-5bf1-9f58-ee5abf820ed1",
+    "numina:80de1ec1-dcf4-5b11-b777-080ba54d9e11",
+    "numina:f960eb42-b31d-572e-a814-3d07654fe7f8",
+    "numina:ffbe59fd-53d2-54c7-9a5b-966a3cb40e8f"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004105.lean\",\"4d5fa163e41fbfa3bd39907bf4ba4e873562a9bd41a3c3c86edd0e58e3389cdd\",0,\"number_theory_209992\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004107.lean\",\"1e481caa2f42405bb010793b816813d6283f572fa0b8eb7ea8b8cd10c89cdde0\",0,\"number_theory_22769\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004108.lean\",\"00477f61474ba295cfee81f921486f10fc57a76c1903757404f3d25acc3a1c5d\",0,\"algebra_20734\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004109.lean\",\"800418e653dea023af17ee82b61ba02f9b618f840608c8cc8886d8e1875b36d4\",0,\"algebra_9357\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000821-0000-84f3ec5b202dca18.parquet",
-      "sha256": "84f3ec5b202dca1824f1822dbc8314d761f72588b47c3d786ec4f66cfcddac1a",
       "bytes": 78225,
+      "path": "data/train/p5d/numina-000821-0000-84f3ec5b202dca18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
+      "sha256": "84f3ec5b202dca1824f1822dbc8314d761f72588b47c3d786ec4f66cfcddac1a"
     },
     {
-      "path": "data/dev/numina-000821-0000-94f4e4dac18e3f7a.parquet",
-      "sha256": "94f4e4dac18e3f7a336d3b87048024bd9d5b271d09189f20367c1d1cf3c6c117",
       "bytes": 76290,
+      "path": "data/dev/p5d/numina-000821-0000-94f4e4dac18e3f7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
+      "sha256": "94f4e4dac18e3f7a336d3b87048024bd9d5b271d09189f20367c1d1cf3c6c117"
     },
     {
-      "path": "data/internal_test/numina-000821-0000-fb6de41918079c25.parquet",
-      "sha256": "fb6de41918079c255d89c0663404f8064fdceaf28de4f7a1f8ed10a4a32f5a27",
       "bytes": 29589,
+      "path": "data/internal_test/p5d/numina-000821-0000-fb6de41918079c25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
+      "sha256": "fb6de41918079c255d89c0663404f8064fdceaf28de4f7a1f8ed10a4a32f5a27"
     }
-  ],
-  "proof_ids": [
-    "numina:464663e7-2107-5bf1-9f58-ee5abf820ed1",
-    "numina:80de1ec1-dcf4-5b11-b777-080ba54d9e11",
-    "numina:f960eb42-b31d-572e-a814-3d07654fe7f8",
-    "numina:ffbe59fd-53d2-54c7-9a5b-966a3cb40e8f"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004105.lean\",\"4d5fa163e41fbfa3bd39907bf4ba4e873562a9bd41a3c3c86edd0e58e3389cdd\",0,\"number_theory_209992\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004107.lean\",\"1e481caa2f42405bb010793b816813d6283f572fa0b8eb7ea8b8cd10c89cdde0\",0,\"number_theory_22769\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004108.lean\",\"00477f61474ba295cfee81f921486f10fc57a76c1903757404f3d25acc3a1c5d\",0,\"algebra_20734\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004109.lean\",\"800418e653dea023af17ee82b61ba02f9b618f840608c8cc8886d8e1875b36d4\",0,\"algebra_9357\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000822.json b/manifests/batches/numina/000822.json
index 74c64383d19500df94a78186937a3dcdb16a883d..80ab0181cc83da60d3f7235577bd2676b0e44225 100644
--- a/manifests/batches/numina/000822.json
+++ b/manifests/batches/numina/000822.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000822",
   "batch_fingerprint": "9c7bec5efb1f298b61663f754cb58baf7dc9871e268b1af1fb85c7d496222ca8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000822-0000-ae7637a831bc4a89.parquet",
-      "sha256": "ae7637a831bc4a891d87b277a62f0be67a8fc5aa3b26a7abb2f6f1f6fcd5d73a",
-      "bytes": 206823,
-      "rows": 18,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/dev/numina-000822-0000-8440ac4f2f00b208.parquet",
-      "sha256": "8440ac4f2f00b2085dc38e72093cc6d21fa5c4bdfe7735e04fe617868223f0cf",
-      "bytes": 28809,
-      "rows": 3,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/internal_test/numina-000822-0000-7a01c32bcb62af86.parquet",
-      "sha256": "7a01c32bcb62af8616a0b91873a7e77520871eb413666c7a4f537226ac8c2f83",
-      "bytes": 538958,
-      "rows": 54,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63662bcd-26c3-51ba-9f30-203283c4d5ba",
     "numina:7415487b-4d1c-5225-b41d-187e2103b8a5",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004112.lean\",\"f36d8bb71c1f5b6781a788264271c6d1879e7ee6ae32fd03be20de653aebb1e5\",0,\"algebra_605625\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004113.lean\",\"fb1ec6950874415a2805a7056538087be00194ab6811d858be8e4c5424533c16\",0,\"algebra_221911\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004114.lean\",\"5238b4f378515247250e6163dc6cafd83a0581206d2ddc51b497387375740930\",0,\"number_theory_285108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206823,
+      "path": "data/train/p3c/numina-000822-0000-ae7637a831bc4a89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ae7637a831bc4a891d87b277a62f0be67a8fc5aa3b26a7abb2f6f1f6fcd5d73a"
+    },
+    {
+      "bytes": 28809,
+      "path": "data/dev/p3c/numina-000822-0000-8440ac4f2f00b208.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8440ac4f2f00b2085dc38e72093cc6d21fa5c4bdfe7735e04fe617868223f0cf"
+    },
+    {
+      "bytes": 538958,
+      "path": "data/internal_test/p3c/numina-000822-0000-7a01c32bcb62af86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "7a01c32bcb62af8616a0b91873a7e77520871eb413666c7a4f537226ac8c2f83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000823.json b/manifests/batches/numina/000823.json
index d7aa60be3145a1d3f018e7600c4b0741e90184a5..30ca745712b201a1d198acaa6c87e9887be67476 100644
--- a/manifests/batches/numina/000823.json
+++ b/manifests/batches/numina/000823.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000823",
   "batch_fingerprint": "b8aeff71e9a814e61da81c63e54eff5602cc0de10e7b7e56a04f840cb512d733",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000823-0000-5b057c11746341ec.parquet",
-      "sha256": "5b057c11746341eca11b99bc3bc5c287d9210a3a74472334094950627d212f78",
-      "bytes": 84588,
-      "rows": 16,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/numina-000823-0000-da8054235efebfca.parquet",
-      "sha256": "da8054235efebfca0505ce9f0634b4f04ab6ba861d6541da93cab705a2ec7351",
-      "bytes": 25433,
-      "rows": 1,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:149fe16f-5e4d-586c-aea5-aafc6a7e9dea",
     "numina:2b98a46f-a1cc-56ab-acef-d98e3a04d8e6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004117.lean\",\"77204c35598ec1ccac5982183817957f2e94ed94f46fa6df2dda80314de07259\",0,\"algebra_11291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004118.lean\",\"28436e66c1403ba1637edfcce8203762537f373ce013a9912f6bca385d16a3f6\",0,\"algebra_10571\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004119.lean\",\"edf59ef1c9d7134e91405834fb3eeeb1662bdab6735899a8854b435d04a9a9ce\",0,\"algebra_1153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84588,
+      "path": "data/train/pdb/numina-000823-0000-5b057c11746341ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5b057c11746341eca11b99bc3bc5c287d9210a3a74472334094950627d212f78"
+    },
+    {
+      "bytes": 25433,
+      "path": "data/internal_test/pdb/numina-000823-0000-da8054235efebfca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "da8054235efebfca0505ce9f0634b4f04ab6ba861d6541da93cab705a2ec7351"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000824.json b/manifests/batches/numina/000824.json
index 01abf2aa7bdfa6e16f7268a0617ea30b18dc3b56..ff067dda33aa8b6dfa10d7ffa54eb4e5e7ca8344 100644
--- a/manifests/batches/numina/000824.json
+++ b/manifests/batches/numina/000824.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000824",
   "batch_fingerprint": "aa1b2339f8d4d5d86a53060ff5af8dc8178201c8919aebcae994cc2093614bbb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000824-0000-a584d209d976b913.parquet",
-      "sha256": "a584d209d976b9138df7e696e2a5bd7064391f841feb92d726adf304725bd19a",
-      "bytes": 54666,
-      "rows": 11,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/dev/numina-000824-0000-8a8e29957585ebba.parquet",
-      "sha256": "8a8e29957585ebba9ad2bc72db0affbdf99e08e5d232115c65d5cd1b3a1836ac",
-      "bytes": 127853,
-      "rows": 3,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/numina-000824-0000-e214a497ec64c532.parquet",
-      "sha256": "e214a497ec64c532242b7264e990d297b9c80ce5397b03688812a3c37d238c85",
-      "bytes": 35979,
-      "rows": 3,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c432470-c0d6-54bc-bc96-c692626417f6",
     "numina:86bc99ec-643a-52f3-b882-d5f9f4299bc9",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004122.lean\",\"f5a3b26e450104d5465de17e9f1677c9157380028f5064f4600d5b9f0323303f\",0,\"algebra_19678\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004123.lean\",\"49986bcba635742cad1a8bdc2cb41f9ef3987c3398b032402e8b5d20e5766f12\",0,\"algebra_13529\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004124.lean\",\"4c0187769cd9f8ea1fa2d5327a087c0662d485f9b69f7cea695e53c2265b5b2f\",0,\"algebra_9444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54666,
+      "path": "data/train/p2f/numina-000824-0000-a584d209d976b913.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a584d209d976b9138df7e696e2a5bd7064391f841feb92d726adf304725bd19a"
+    },
+    {
+      "bytes": 127853,
+      "path": "data/dev/p2f/numina-000824-0000-8a8e29957585ebba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8a8e29957585ebba9ad2bc72db0affbdf99e08e5d232115c65d5cd1b3a1836ac"
+    },
+    {
+      "bytes": 35979,
+      "path": "data/internal_test/p2f/numina-000824-0000-e214a497ec64c532.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e214a497ec64c532242b7264e990d297b9c80ce5397b03688812a3c37d238c85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000825.json b/manifests/batches/numina/000825.json
index 4f0c6820eb17a9efa0e6e61a993f87da7d04bd94..2e787be36a6f35a1ff6319a3ac3e884ba9cadf70 100644
--- a/manifests/batches/numina/000825.json
+++ b/manifests/batches/numina/000825.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000825",
   "batch_fingerprint": "5a67bc40a8cfc6bb0d1f7439368c1d7dab36372b363a3dd5fc2cbc68757b3c71",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000825-0000-24560b5601d930ad.parquet",
-      "sha256": "24560b5601d930ad7aeab97cb2a3366633bb4305eaefe27f410807ab4ee8c3b0",
-      "bytes": 381610,
-      "rows": 31,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    },
-    {
-      "path": "data/internal_test/numina-000825-0000-1d4b2c1e6bf2e301.parquet",
-      "sha256": "1d4b2c1e6bf2e301fe1ba134a12e033585e5a23e5f4e59e3a5f585643fd96598",
-      "bytes": 68634,
-      "rows": 5,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0050c84f-982b-5ce6-af0b-12058a59920a",
     "numina:2c4bd84d-a4e8-5203-b76f-c824a3809ba1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004127.lean\",\"c95b2a75f922ac41e51078bdfabcfdf5518185187458181f3cac3fee055f091a\",0,\"algebra_21085\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004129.lean\",\"f6301a130a810e58e91c17faf605732ed0b95584c253dab0b68ea15499d16733\",0,\"algebra_20991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381610,
+      "path": "data/train/pbf/numina-000825-0000-24560b5601d930ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "24560b5601d930ad7aeab97cb2a3366633bb4305eaefe27f410807ab4ee8c3b0"
+    },
+    {
+      "bytes": 68634,
+      "path": "data/internal_test/pbf/numina-000825-0000-1d4b2c1e6bf2e301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1d4b2c1e6bf2e301fe1ba134a12e033585e5a23e5f4e59e3a5f585643fd96598"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000826.json b/manifests/batches/numina/000826.json
index 353515da542a556f3a53a44a15e78299be4c00f2..06e9be46afb0021bf5d43ca5aa21238651f41162 100644
--- a/manifests/batches/numina/000826.json
+++ b/manifests/batches/numina/000826.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000826",
   "batch_fingerprint": "09eba4cfb27c5c6985898ddf5a08e292309b8b6367e08af62ed038aff1fde804",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000826-0000-964d601501033235.parquet",
-      "sha256": "964d601501033235f19299e329fff2597e92d5409f48b8115e778b6fc98791e0",
-      "bytes": 261537,
-      "rows": 24,
-      "revision": "43ceee9b41a0ed0694b923f67147bed43c0d622d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08bd7807-eaa3-54c2-9611-d978c04f4a1a",
     "numina:093cd86a-eb80-502d-95b6-af29a6769f38",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004132.lean\",\"0b4b4d64e70324d9d64e4a8f6abc8ab398cf07927c045c28b0c47f468575f019\",0,\"algebra_13490\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004133.lean\",\"c8c822f1c1ee64afe6e47c0ff84c5741e5e078d9aba3cf3d217e30758bb52546\",0,\"algebra_96084\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004134.lean\",\"fce24823587f9ebe0914b8b4652ed8195e12898ddb2c23c75a776d17f3ee7563\",0,\"algebra_20996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261537,
+      "path": "data/train/p77/numina-000826-0000-964d601501033235.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "964d601501033235f19299e329fff2597e92d5409f48b8115e778b6fc98791e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000827.json b/manifests/batches/numina/000827.json
index 45fd7f92612d2e4b4816e191626631b1139e8553..9a78f21ba993ceb0485c229ae28b637de08ad0d0 100644
--- a/manifests/batches/numina/000827.json
+++ b/manifests/batches/numina/000827.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000827",
   "batch_fingerprint": "609602513f22f9321e39dd99be2caa73d46915cc1ffd7678102a00155359ef01",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000827-0000-fe66cf2b4fe82b77.parquet",
-      "sha256": "fe66cf2b4fe82b7757507a3b2e336592fb46afc49f9ad33a0695815a1c5e8d0a",
-      "bytes": 1241045,
-      "rows": 10,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/train/numina-000827-0001-7f72ed90bead9d28.parquet",
-      "sha256": "7f72ed90bead9d287b4797a86141397dc003543662c257e4afec8aeb9979508c",
-      "bytes": 813312,
-      "rows": 24,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    },
-    {
-      "path": "data/train/numina-000827-0002-a7fc740b3d5c7732.parquet",
-      "sha256": "a7fc740b3d5c77325ab3d2629cc65718b85b30a4a0e6be074a4f67a737fa5b70",
-      "bytes": 550919,
-      "rows": 14,
-      "revision": "83898a0a3aa00d8675003d341ec7c1d1ee1a5159"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:479d7e25-2da1-5d1d-8104-48ea2913701e",
     "numina:528abce9-312e-5683-ad33-b04d525640d9",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004137.lean\",\"200b9270db8879448b1c80543776b0343165412f71d7976863899400f746c2d0\",0,\"number_theory_14683\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004138.lean\",\"bf1769f55521b691e7b7d492537f731d38dc2375c73055d77df7725b21e7b17c\",0,\"algebra_13229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004139.lean\",\"3f562e1f22d0ddcfce7cacf64e765153dab4fe84a2781e9e2242da266f560a68\",0,\"algebra_24137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1241045,
+      "path": "data/train/p47/numina-000827-0000-fe66cf2b4fe82b77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fe66cf2b4fe82b7757507a3b2e336592fb46afc49f9ad33a0695815a1c5e8d0a"
+    },
+    {
+      "bytes": 813312,
+      "path": "data/train/p47/numina-000827-0001-7f72ed90bead9d28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7f72ed90bead9d287b4797a86141397dc003543662c257e4afec8aeb9979508c"
+    },
+    {
+      "bytes": 550919,
+      "path": "data/train/p47/numina-000827-0002-a7fc740b3d5c7732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a7fc740b3d5c77325ab3d2629cc65718b85b30a4a0e6be074a4f67a737fa5b70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000828.json b/manifests/batches/numina/000828.json
index 104f918b1d972c2609b47fa89f1077950c6f9ed2..6e886725eaf0002bed098a28c09cdc612e4dd139 100644
--- a/manifests/batches/numina/000828.json
+++ b/manifests/batches/numina/000828.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000828",
   "batch_fingerprint": "a66756b0e66a399692a4e776b42fa5e52b4b6c4516f153a6352d39fb2e6eb890",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2ea5a05c-d47b-50b0-be95-2775baea2c78",
+    "numina:2f0c61c8-a8f7-54be-8c18-babaa91b1821",
+    "numina:4d8e52f8-f3a4-59a2-9cf9-0ee2f72b1572",
+    "numina:59f31c2b-7d2e-5cdf-82c9-e6d7d58b0a7d",
+    "numina:d23932f1-bd7c-534a-a272-43b049dba80d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004140.lean\",\"895cd0a6aed34496e9e46f8c8efc0c96e0f978fbfdf0c5d4ea8dfa56aea2e7d3\",0,\"calculus_23021\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004141.lean\",\"4c19d3367deee5498d7ea04f4197f004bebaabe208d5f5f695308f7b7a26f050\",0,\"inequalities_205729\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004142.lean\",\"a3a6df94bf344c471f10e178a2cc36a46a4c62d9a10d7f634376f1527be101c5\",0,\"algebra_13239\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004143.lean\",\"a1da1b81bad504f81e0b81d4b282f836d0ac1794383bb1eb8200085623688e70\",0,\"number_theory_19379\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004144.lean\",\"65b6cb66eeddc0fe641512eec74dcf8b41d0832e7f7f9ae4d7194c21ede7187c\",0,\"algebra_10800\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000828-0000-77f64e273a1a3405.parquet",
-      "sha256": "77f64e273a1a34053aaa919a8a884a201bff7558924bbda934ff8c950a45c762",
       "bytes": 247211,
+      "path": "data/train/p0e/numina-000828-0000-77f64e273a1a3405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
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-      "path": "data/train/numina-000828-0001-516764a1b5b87ced.parquet",
-      "sha256": "516764a1b5b87cedbfb781ff1c4d2710ddf53b4ffce78ef48744b0e472a0196d",
       "bytes": 213085,
+      "path": "data/train/p0e/numina-000828-0001-516764a1b5b87ced.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
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     },
     {
-      "path": "data/train/numina-000828-0002-f3f26ddb8913d6cc.parquet",
-      "sha256": "f3f26ddb8913d6ccc40fbcc9e3a719af12deb9e69f3c0347f32ca5c345a730ec",
       "bytes": 256719,
+      "path": "data/train/p0e/numina-000828-0002-f3f26ddb8913d6cc.parquet",
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       "rows": 5,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
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-      "path": "data/dev/numina-000828-0000-3e1c986bb45dafd4.parquet",
-      "sha256": "3e1c986bb45dafd4e3b3aacfb1846740c4a04f4feeb3d8fd1cc5a7c45030e435",
       "bytes": 426932,
+      "path": "data/dev/p0e/numina-000828-0000-3e1c986bb45dafd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
+      "sha256": "3e1c986bb45dafd4e3b3aacfb1846740c4a04f4feeb3d8fd1cc5a7c45030e435"
     },
     {
-      "path": "data/internal_test/numina-000828-0000-1568f5a6f53af128.parquet",
-      "sha256": "1568f5a6f53af1280be0320508f3d28e389faaaede412e5af3b5593e4530ac0d",
       "bytes": 42225,
+      "path": "data/internal_test/p0e/numina-000828-0000-1568f5a6f53af128.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
+      "sha256": "1568f5a6f53af1280be0320508f3d28e389faaaede412e5af3b5593e4530ac0d"
     }
-  ],
-  "proof_ids": [
-    "numina:2ea5a05c-d47b-50b0-be95-2775baea2c78",
-    "numina:2f0c61c8-a8f7-54be-8c18-babaa91b1821",
-    "numina:4d8e52f8-f3a4-59a2-9cf9-0ee2f72b1572",
-    "numina:59f31c2b-7d2e-5cdf-82c9-e6d7d58b0a7d",
-    "numina:d23932f1-bd7c-534a-a272-43b049dba80d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004140.lean\",\"895cd0a6aed34496e9e46f8c8efc0c96e0f978fbfdf0c5d4ea8dfa56aea2e7d3\",0,\"calculus_23021\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004141.lean\",\"4c19d3367deee5498d7ea04f4197f004bebaabe208d5f5f695308f7b7a26f050\",0,\"inequalities_205729\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004142.lean\",\"a3a6df94bf344c471f10e178a2cc36a46a4c62d9a10d7f634376f1527be101c5\",0,\"algebra_13239\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004143.lean\",\"a1da1b81bad504f81e0b81d4b282f836d0ac1794383bb1eb8200085623688e70\",0,\"number_theory_19379\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004144.lean\",\"65b6cb66eeddc0fe641512eec74dcf8b41d0832e7f7f9ae4d7194c21ede7187c\",0,\"algebra_10800\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000829.json b/manifests/batches/numina/000829.json
index 10fb9dd3329b055ec2108857fe383f43785b7c69..efc60a5f6f7f3f6295d23a6a53865c71af555a60 100644
--- a/manifests/batches/numina/000829.json
+++ b/manifests/batches/numina/000829.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000829",
   "batch_fingerprint": "4459200b84997d6d39103050a143ff0ee82969cc829767ddb83f665c00382a58",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:4350b7b7-4873-5ca1-9ec6-cf902310c447",
+    "numina:5caf71c7-cbc3-5ca2-a796-83f01336dab6",
+    "numina:7f25083e-d944-547c-bfed-77570ed80ce7",
+    "numina:dbf5c9a1-f1fa-5160-9b65-96aa3f10b76e",
+    "numina:e3adca00-1d26-58ce-8ea4-618f679d8d70"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004145.lean\",\"d12f54b4ddf822a3712cd4163109585682f89617a715304972c552a7f9230503\",0,\"imo_a3\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004146.lean\",\"41226924a650347fe189168138ce1dbdace28cbe46bb4b639dfe62586aea502d\",0,\"algebra_13726\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004147.lean\",\"72d518945b8705232b0c18e4f952c1b62fae31d7d3b5c24ed71cfbabf29fea71\",0,\"algebra_609171\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004148.lean\",\"eea8708dd80f225f6068248d0cefeaf3fd5b79c93c4dbe03c7928b8575747ac8\",0,\"number_theory_4502\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004149.lean\",\"683f87156dda3d4569d6c0810e4f3e21fbfef350211882a936bed9baabddbebd\",0,\"algebra_13843\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000829-0000-7e6e2617e0eade2d.parquet",
-      "sha256": "7e6e2617e0eade2dc88b17fc4eb63e1663dd905ea09f008451d671c4db6fea13",
       "bytes": 47711,
+      "path": "data/train/p11/numina-000829-0000-7e6e2617e0eade2d.parquet",
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       "rows": 8,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
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-      "sha256": "b362510fb45c671e1523ed43870f2d1ea98312b9f4110eebb33a6131bed4529f",
       "bytes": 631023,
+      "path": "data/dev/p11/numina-000829-0000-b362510fb45c671e.parquet",
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       "rows": 7,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
+      "sha256": "b362510fb45c671e1523ed43870f2d1ea98312b9f4110eebb33a6131bed4529f"
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-      "path": "data/dev/numina-000829-0001-a7874e7c88a1652f.parquet",
-      "sha256": "a7874e7c88a1652fdce027f198af5b75dbe389f88996304cb4e52b0c3cf84738",
       "bytes": 432607,
+      "path": "data/dev/p11/numina-000829-0001-a7874e7c88a1652f.parquet",
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       "rows": 3,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
+      "sha256": "a7874e7c88a1652fdce027f198af5b75dbe389f88996304cb4e52b0c3cf84738"
     },
     {
-      "path": "data/internal_test/numina-000829-0000-78f9a76ea5a6f542.parquet",
-      "sha256": "78f9a76ea5a6f54294290b166f8b1ba0f83db7730130f1b1f9addaac09e9932b",
       "bytes": 113813,
+      "path": "data/internal_test/p11/numina-000829-0000-78f9a76ea5a6f542.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
+      "sha256": "78f9a76ea5a6f54294290b166f8b1ba0f83db7730130f1b1f9addaac09e9932b"
     }
-  ],
-  "proof_ids": [
-    "numina:4350b7b7-4873-5ca1-9ec6-cf902310c447",
-    "numina:5caf71c7-cbc3-5ca2-a796-83f01336dab6",
-    "numina:7f25083e-d944-547c-bfed-77570ed80ce7",
-    "numina:dbf5c9a1-f1fa-5160-9b65-96aa3f10b76e",
-    "numina:e3adca00-1d26-58ce-8ea4-618f679d8d70"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004145.lean\",\"d12f54b4ddf822a3712cd4163109585682f89617a715304972c552a7f9230503\",0,\"imo_a3\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004146.lean\",\"41226924a650347fe189168138ce1dbdace28cbe46bb4b639dfe62586aea502d\",0,\"algebra_13726\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004147.lean\",\"72d518945b8705232b0c18e4f952c1b62fae31d7d3b5c24ed71cfbabf29fea71\",0,\"algebra_609171\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004148.lean\",\"eea8708dd80f225f6068248d0cefeaf3fd5b79c93c4dbe03c7928b8575747ac8\",0,\"number_theory_4502\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004149.lean\",\"683f87156dda3d4569d6c0810e4f3e21fbfef350211882a936bed9baabddbebd\",0,\"algebra_13843\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000830.json b/manifests/batches/numina/000830.json
index 50e465dd939c07caed09581c76f22d434cde17f3..a88f884f2028d4d478817c2451f5e687f9af2309 100644
--- a/manifests/batches/numina/000830.json
+++ b/manifests/batches/numina/000830.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000830",
   "batch_fingerprint": "af5b9f3ca1a2de573c997cfa2f0ddf2eb8ff86ea6084cb2f196641342a655e12",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000830-0000-9e568acdef95f31b.parquet",
-      "sha256": "9e568acdef95f31b49d87c2610c5a221218ccc6b9a9c91e0b8c967dd40b6d662",
-      "bytes": 255091,
-      "rows": 24,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71afce1b-53bb-5e45-bbfd-36256e01245e",
     "numina:a20ef352-b1e8-5417-8280-cf96d6ee293f",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004151.lean\",\"416b92ec56f8aa022fa421dd0a14b00c2a809e9799508afacc5fb6795a3e783e\",0,\"algebra_20664\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004153.lean\",\"bc725d7bd76447ae247565afcfe6eecbc9a345876924f3b8782e1a98925808ed\",0,\"algebra_609575\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004154.lean\",\"e9ee2176fe581200da2b9c722d13f93be47fbdeacebbcf4303c9ac196badd1b7\",0,\"algebra_16399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255091,
+      "path": "data/train/pc0/numina-000830-0000-9e568acdef95f31b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9e568acdef95f31b49d87c2610c5a221218ccc6b9a9c91e0b8c967dd40b6d662"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000831.json b/manifests/batches/numina/000831.json
index 07bcf17ffd21c50ee30b2b65e9bcd9f12890719a..3dac9959b92a9531b1e6e584db1cab0c520d8463 100644
--- a/manifests/batches/numina/000831.json
+++ b/manifests/batches/numina/000831.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000831",
   "batch_fingerprint": "849bf8921a1fe4ab477d265e8adef8d93bb246e7bae59bb96c5d8a06b46ab5e5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000831-0000-2233ac017e51864f.parquet",
-      "sha256": "2233ac017e51864fad7ac97de8b70a3dc04e8f6135f2928ae75367acf4b140dd",
-      "bytes": 176258,
-      "rows": 24,
-      "revision": "6fe9508d5a959f616e9d1d04067fb50c2219aefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f659025-4d31-5ece-a320-405d6bb3f946",
     "numina:34ed3643-a460-55e9-ac10-c654c8f31723",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004157.lean\",\"0f6c8c6a23b8b4fe20576e7f4d15e0ecb95e010d960084604f7368b904810d19\",0,\"number_theory_16401\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004158.lean\",\"b808e7a5295cf8c49d0962b97fc5f7ff5a3c8020915e8c71299b269f77c8635a\",0,\"algebra_14895\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004159.lean\",\"624901979b9f0fcc56301f41b225513f1b39cc7dc35a0e64653ae08acd7652f8\",0,\"algebra_10823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176258,
+      "path": "data/train/pec/numina-000831-0000-2233ac017e51864f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2233ac017e51864fad7ac97de8b70a3dc04e8f6135f2928ae75367acf4b140dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000832.json b/manifests/batches/numina/000832.json
index e9b932e56ee0ace3a57abfaf20b88b41db28fd6d..7e717c243ec9edbaba1b470b3cd8c8cb3737e4cd 100644
--- a/manifests/batches/numina/000832.json
+++ b/manifests/batches/numina/000832.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000832",
   "batch_fingerprint": "09e0559a0bc0cdf2fdeb5df292df6909fe572199863a90dd0169324983e59ecf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000832-0000-334bd2bd0f03edae.parquet",
-      "sha256": "334bd2bd0f03edae5ee9c1411c44b106c94681c4f919c70178f3323fead312d0",
-      "bytes": 425202,
-      "rows": 46,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    },
-    {
-      "path": "data/internal_test/numina-000832-0000-d4db4077e0d4b872.parquet",
-      "sha256": "d4db4077e0d4b872110e05f1a264d4f1c4bc066e887a170cfa6eedf545555a54",
-      "bytes": 157525,
-      "rows": 4,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3eaf1908-388c-5c22-b2c2-72920de9783e",
     "numina:76777376-709c-5e59-ab47-bf84dd86aa5f",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004163.lean\",\"deef8f25188934ef6db96ac09c4356aa3dcd26cc11bf3c2f924eba111f14c960\",0,\"algebra_608386\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004164.lean\",\"7d823e0f663c8cddd234a498605b44a01de1f4c2846f872217ace1300cf070e4\",0,\"algebra_16405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425202,
+      "path": "data/train/pdc/numina-000832-0000-334bd2bd0f03edae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "334bd2bd0f03edae5ee9c1411c44b106c94681c4f919c70178f3323fead312d0"
+    },
+    {
+      "bytes": 157525,
+      "path": "data/internal_test/pdc/numina-000832-0000-d4db4077e0d4b872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d4db4077e0d4b872110e05f1a264d4f1c4bc066e887a170cfa6eedf545555a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000833.json b/manifests/batches/numina/000833.json
index 226c63a0708c97857d5a60d99bdb70fd55afd2a4..d48bd44cf4fe9863974ae18da03fd4c509760019 100644
--- a/manifests/batches/numina/000833.json
+++ b/manifests/batches/numina/000833.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000833",
   "batch_fingerprint": "b20365e794322a223b350f85eb76cd13578e13c04d0842c39cc14aa093e8adaf",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000833-0000-ec3162f08510fbdc.parquet",
-      "sha256": "ec3162f08510fbdc96fbd1fb54f42ec06cbb55d2cb622d7ee9a49183b306b930",
-      "bytes": 371262,
-      "rows": 13,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b9b2693-2b1c-5377-a62a-aec889dd1157",
     "numina:4a37fb26-bae1-55bf-bf42-99eb4685156a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004167.lean\",\"cb7fcf63d8a788911a58ee00f3076e930d5fc7ed11677d51623f084267305c98\",0,\"algebra_11703\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004168.lean\",\"a9fc6c473c4df2745de90ccfcd9c52066bead3774e4a2a55948c73a721ed6c32\",0,\"number_theory_606261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004169.lean\",\"e131ccd5e4da041d2a8c121e70e5554cc35997852c48ffb6acc49131eda963bd\",0,\"inequalities_605430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371262,
+      "path": "data/train/p3f/numina-000833-0000-ec3162f08510fbdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ec3162f08510fbdc96fbd1fb54f42ec06cbb55d2cb622d7ee9a49183b306b930"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000834.json b/manifests/batches/numina/000834.json
index 770f33f1905217802609ec30b816e532390d7312..e632d5c26e2e11671a0e8ab4ebcfe5aea1a28b9b 100644
--- a/manifests/batches/numina/000834.json
+++ b/manifests/batches/numina/000834.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000834",
   "batch_fingerprint": "289353e4ce2f6fbb697fb814f27fa3f3f5b57b833756cc96378fc340ba60845f",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000834-0000-71914ee406f5ac1c.parquet",
-      "sha256": "71914ee406f5ac1ca6e4852d55683e320b0326cfc643618c7cb91d184b773bcb",
-      "bytes": 439193,
-      "rows": 28,
-      "revision": "698bfd9af74b1eec9cda2a097ef740de52e6a84f"
-    },
-    {
-      "path": "data/internal_test/numina-000834-0000-c8d70f0c03ffb1f3.parquet",
-      "sha256": "c8d70f0c03ffb1f3a70ed5ea2d006205cfff9e0d44140b866171a8985e167f48",
-      "bytes": 354309,
-      "rows": 43,
-      "revision": "698bfd9af74b1eec9cda2a097ef740de52e6a84f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54523906-3a39-5099-b375-216390266b37",
     "numina:744b2318-d5b5-5538-a068-04e9bd993766",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004172.lean\",\"c516110897c27647563cd72b09fc348816c682b71d4d281eeb4cab881cb99a0d\",0,\"algebra_21552\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004173.lean\",\"8892dffbe7f5c2edc6eedc066330e28f26feffb6e7276df04f17e08020cd730c\",0,\"AMC_Algebra_96191\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004174.lean\",\"c501030143542329ef176a07263ac4ed0f1bf2ccb734d3c099a22a7e585def7c\",0,\"calculus_23032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 439193,
+      "path": "data/train/pc1/numina-000834-0000-71914ee406f5ac1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "71914ee406f5ac1ca6e4852d55683e320b0326cfc643618c7cb91d184b773bcb"
+    },
+    {
+      "bytes": 354309,
+      "path": "data/internal_test/pc1/numina-000834-0000-c8d70f0c03ffb1f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "c8d70f0c03ffb1f3a70ed5ea2d006205cfff9e0d44140b866171a8985e167f48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000835.json b/manifests/batches/numina/000835.json
index 2bc9e9bd33c3b7affdc76f3819a0af88ff8202c7..6932c5c87f62cbea89a5924896a922318fe57b79 100644
--- a/manifests/batches/numina/000835.json
+++ b/manifests/batches/numina/000835.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000835",
   "batch_fingerprint": "8213f2432bbb94ded5dbb83a537308d6cdc61f833557767dbfa81eb1182fcf54",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000835-0000-dd3cb50e85ad8b55.parquet",
-      "sha256": "dd3cb50e85ad8b55bc25331e058184e2b466fcfcfce2ced58949fc180a937c06",
-      "bytes": 563213,
-      "rows": 63,
-      "revision": "8c4a30de76c07ee6ad0cdd4a0871404464048a61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0de7eec2-12dc-5fda-a7d9-e18d7c133a68",
     "numina:39fc8a2b-def8-5a6e-97c1-29c7c0ebec95",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004177.lean\",\"a304eab870db9a13ddc90fa53435a1aa2552c5084152c865b589b41cc5263403\",0,\"calculus_611209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004178.lean\",\"6b5afccf3bd481c63cfa344f1f9029c8abc899c2c29d9bb0cffe7c62e7d62ffa\",0,\"inequalities_264161\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004179.lean\",\"a949dbf711f228c7089085278ec95dd8897f9b36ab786d3f0aa9d3590006a305\",0,\"algebra_16414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 563213,
+      "path": "data/train/p06/numina-000835-0000-dd3cb50e85ad8b55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "dd3cb50e85ad8b55bc25331e058184e2b466fcfcfce2ced58949fc180a937c06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000836.json b/manifests/batches/numina/000836.json
index 855ccc05ea7e4fa0812954ece8dcf285e24c1897..e2cadcca0ad72dd80e9552c6361a151aa779fdf3 100644
--- a/manifests/batches/numina/000836.json
+++ b/manifests/batches/numina/000836.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000836",
   "batch_fingerprint": "a78094fef74f5f4e570c5c510fb04941d8e82d3a85915d75e4bde98fa4155a40",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000836-0000-ed9ac3e78b848166.parquet",
-      "sha256": "ed9ac3e78b8481668de26903d5c5bd43968c5c05675801945685fee487c0355f",
-      "bytes": 558144,
-      "rows": 46,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29b6459c-dddf-570a-a965-389f01da2156",
     "numina:677749e1-a5df-520c-a393-4d2bc19245e1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004182.lean\",\"2561d15905d5974b41576c1084faa84fddc3ea3dae254928daa593a0de2fe1d8\",0,\"algrebra_608132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004183.lean\",\"63977402659c7835c3ce08bcd38d48781d22bcf4b8fae8d3c1a7ea6bc8569c63\",0,\"number_theory_23059\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004184.lean\",\"a91d2f9f2154eb54774441aee56441dfc6d92efd140b7c4b8900f790d914c642\",0,\"algebra_96240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558144,
+      "path": "data/train/p17/numina-000836-0000-ed9ac3e78b848166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "ed9ac3e78b8481668de26903d5c5bd43968c5c05675801945685fee487c0355f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000837.json b/manifests/batches/numina/000837.json
index 32d3da10f1b3045b678d9da67113f596723a4158..1180c77137dcb7cff156bac0930b12032264d318 100644
--- a/manifests/batches/numina/000837.json
+++ b/manifests/batches/numina/000837.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000837",
   "batch_fingerprint": "478b7ed4dce683bfe13e0a437228c1cd779e096489e82182b7865b265614ff0f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000837-0000-fa11399738b623af.parquet",
-      "sha256": "fa11399738b623afc51efd8d0df077b4b017c922dd59e5fed0d83303234eb140",
-      "bytes": 45205,
-      "rows": 9,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/numina-000837-0000-531be2e0ff3f4425.parquet",
-      "sha256": "531be2e0ff3f4425e459931e9b1632d62138a583bf5d866d4cce774dec55325e",
-      "bytes": 84866,
-      "rows": 12,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5bd30240-d09e-587e-b3ea-7f53b65393eb",
     "numina:7ecc9032-1cda-5b85-8741-4f082e635035",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004187.lean\",\"d0a3f480e32393a29e22e0317858a12adddb5454c1f78c4dc99d2b2579f76bb9\",0,\"algebra_1148\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004188.lean\",\"121a5a5a6db5d5b7e53dc5e6275edb6c6aa7cb5a99520b4a0c75c6c0dd8b7a05\",0,\"number_theory_23070\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004189.lean\",\"f08ef67f06e33800ab01f2a74100f81d59e650d97a610febbb4f353abf0205bf\",0,\"number_theory_176833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45205,
+      "path": "data/train/pe3/numina-000837-0000-fa11399738b623af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fa11399738b623afc51efd8d0df077b4b017c922dd59e5fed0d83303234eb140"
+    },
+    {
+      "bytes": 84866,
+      "path": "data/dev/pe3/numina-000837-0000-531be2e0ff3f4425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "531be2e0ff3f4425e459931e9b1632d62138a583bf5d866d4cce774dec55325e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000838.json b/manifests/batches/numina/000838.json
index cfe5d2fd673e5e0141187a0adc7b0fd904b59381..7dfe5d7c8708b4df5dd490dd5fce41b3f21a7da4 100644
--- a/manifests/batches/numina/000838.json
+++ b/manifests/batches/numina/000838.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000838",
   "batch_fingerprint": "ce723c6c30f8c8c71afad23c77f72e5cf04f546ab9a2b15a756eb114054f7167",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000838-0000-c8f8e08886f7a60d.parquet",
-      "sha256": "c8f8e08886f7a60dc382e43a70e0093173f31f6eaa2657db3371a841329f0181",
-      "bytes": 643765,
-      "rows": 40,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2072024a-27d9-5774-bdcf-dbbbfe913763",
     "numina:6e4ea7ef-105a-5f46-9724-b8f5820e57e5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004192.lean\",\"d8ee5b988703e7b6fdd6120c71b2f07eac9b39b6b3e35df1e9cba20dc559f1aa\",0,\"algebra_21566\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004193.lean\",\"87bfb6de07d6e489c28d29d22a1eb59561b80d52ea93f53a000ab037208ad326\",0,\"algebra_23651\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004194.lean\",\"5452fa182649ba2ad0eed77e69775fcb71981ecb9540d4f4b242ba71dd983a59\",0,\"algebra_96297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 643765,
+      "path": "data/train/pa2/numina-000838-0000-c8f8e08886f7a60d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "c8f8e08886f7a60dc382e43a70e0093173f31f6eaa2657db3371a841329f0181"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000839.json b/manifests/batches/numina/000839.json
index a3ce33410c6e4f9363913d11d969f9b326839666..8eff764fe0c36d4c9aa6f25bef867dac70d8a1b3 100644
--- a/manifests/batches/numina/000839.json
+++ b/manifests/batches/numina/000839.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000839",
   "batch_fingerprint": "d8a1c0a29a6500d3de853faddd895f341c03bddee4d65714586b1c8ae734fe0f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000839-0000-07fd241e9abd0dde.parquet",
-      "sha256": "07fd241e9abd0ddeaeb6476f04fe51cd50a4cbd270c7eef5bee5e9c880abb5c6",
-      "bytes": 258195,
-      "rows": 51,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/numina-000839-0000-125e209a4235de49.parquet",
-      "sha256": "125e209a4235de494d5e7aa3368a4764b640098642fbf937bf325680d4a15229",
-      "bytes": 21431,
-      "rows": 1,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:48881c66-0ff2-5b04-b9b8-7c62ba081dd1",
     "numina:6c0af0ff-15d4-5789-a0a7-c75631416239",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004197.lean\",\"cf990d8a1ae21fd8350cbbb5dc8265ada6218744d741011b1401d1abb12aed82\",0,\"number_theory_12030\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004198.lean\",\"63e88740975c297abf2a43ef5d4b4964f54f3ce07dfeb91508dde69afee02753\",0,\"Algebra_609499\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004199.lean\",\"c1182aa25806851d904120160195b5cd47f16a95132453d5064e966a9b4f48c3\",0,\"algebra_238020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258195,
+      "path": "data/train/p3c/numina-000839-0000-07fd241e9abd0dde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "07fd241e9abd0ddeaeb6476f04fe51cd50a4cbd270c7eef5bee5e9c880abb5c6"
+    },
+    {
+      "bytes": 21431,
+      "path": "data/dev/p3c/numina-000839-0000-125e209a4235de49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "125e209a4235de494d5e7aa3368a4764b640098642fbf937bf325680d4a15229"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000840.json b/manifests/batches/numina/000840.json
index 5113be323d7b834b10087d33703297da5a58b4f2..1c4520180ee5bbc54096a40a501d787bf46c3eb3 100644
--- a/manifests/batches/numina/000840.json
+++ b/manifests/batches/numina/000840.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000840",
   "batch_fingerprint": "d8150ab47b829bf6c11b6c1160575339388a94478453db01aea9bcf9e6d17997",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000840-0000-865b272675a26646.parquet",
-      "sha256": "865b272675a266466b3deaee23b29fc6a99d371fc2d1d1d9caae87fb45ba8566",
-      "bytes": 139104,
-      "rows": 15,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/internal_test/numina-000840-0000-b149e7e7a91753e9.parquet",
-      "sha256": "b149e7e7a91753e90689146793dac6e3298ad997621269168ba46270cc858e2d",
-      "bytes": 28322,
-      "rows": 2,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08a52a63-e01c-5b62-b4b2-a83dd874dfa9",
     "numina:104f7cd4-5f52-58c2-8ee9-9b4f22ca74a0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004202.lean\",\"fff951fc6897201119d05b04be3d5266c0137eedc5e067c88fcc2de872de0a77\",0,\"number_theory_97342\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004203.lean\",\"8a5594df8609414d3a26d6a7e8617bf7254d3952ccf1bb794f060e5ef0edd777\",0,\"algebra_10559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004204.lean\",\"7d7b7972ad7a4cb9f4e3d1d1bdb885a8721a20ba152ef573b9ff17945f5f5247\",0,\"algebra_238086\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139104,
+      "path": "data/train/p98/numina-000840-0000-865b272675a26646.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "865b272675a266466b3deaee23b29fc6a99d371fc2d1d1d9caae87fb45ba8566"
+    },
+    {
+      "bytes": 28322,
+      "path": "data/internal_test/p98/numina-000840-0000-b149e7e7a91753e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b149e7e7a91753e90689146793dac6e3298ad997621269168ba46270cc858e2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000841.json b/manifests/batches/numina/000841.json
index 8430117103cb441c916cecf13372eff5342aa47a..c2ba126f24d22fa2555f5f37c67a17945f3bf5cb 100644
--- a/manifests/batches/numina/000841.json
+++ b/manifests/batches/numina/000841.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000841",
   "batch_fingerprint": "a640d82e20c3ef1efaf6dc3540c1eb22d6ff355a0ac4ec1f2fdef7598f00d429",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3d18ef8b-e560-53f5-8de5-6c38c0ccf174",
+    "numina:851a5ece-2314-57be-8f9b-4372e6c62326",
+    "numina:a4ca7ac0-e438-5389-8b74-a7a91825363f",
+    "numina:fec805f0-ea96-541a-9f9b-a152d0b61a98"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004205.lean\",\"6e860ccc7bd9b6d5bd0a886512443d493697db7612edf7054a92bd77719765b8\",0,\"number_theory_274831\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004206.lean\",\"ac66d25ac79682675faed8eefa4913be06a68680f0214b56b233272598b5ceca\",0,\"number_theory_605567\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004207.lean\",\"9b3f4ec5c4ccb9c8ff0aaa0ceee0b501363dad113792faa7440615864f3db65e\",0,\"algebra_13796\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004209.lean\",\"373061e8793872ea346e3ba8ca7220fdcaed46af5c917bc8ac9f8990e0714432\",0,\"algebra_20347\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000841-0000-e831fd20d09ff757.parquet",
-      "sha256": "e831fd20d09ff7570523188ccc7624dbfc79e55fab8d72f0c5967877dff29526",
       "bytes": 43741,
+      "path": "data/train/p5e/numina-000841-0000-e831fd20d09ff757.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
+      "sha256": "e831fd20d09ff7570523188ccc7624dbfc79e55fab8d72f0c5967877dff29526"
     },
     {
-      "path": "data/dev/numina-000841-0000-cdec4ae0df9485d7.parquet",
-      "sha256": "cdec4ae0df9485d7a07ce94549828152786b8e921495d31b37f12b05620bd888",
       "bytes": 284554,
+      "path": "data/dev/p5e/numina-000841-0000-cdec4ae0df9485d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
+      "sha256": "cdec4ae0df9485d7a07ce94549828152786b8e921495d31b37f12b05620bd888"
     },
     {
-      "path": "data/internal_test/numina-000841-0000-e6cbf9a2c664b3eb.parquet",
-      "sha256": "e6cbf9a2c664b3ebf78b39e2ff2465357c0b39eee1a3333bbf902bef06c32b15",
       "bytes": 37594,
+      "path": "data/internal_test/p5e/numina-000841-0000-e6cbf9a2c664b3eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ac27640f407385fd1ffcd6678e776f98e776dd35"
+      "sha256": "e6cbf9a2c664b3ebf78b39e2ff2465357c0b39eee1a3333bbf902bef06c32b15"
     }
-  ],
-  "proof_ids": [
-    "numina:3d18ef8b-e560-53f5-8de5-6c38c0ccf174",
-    "numina:851a5ece-2314-57be-8f9b-4372e6c62326",
-    "numina:a4ca7ac0-e438-5389-8b74-a7a91825363f",
-    "numina:fec805f0-ea96-541a-9f9b-a152d0b61a98"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004205.lean\",\"6e860ccc7bd9b6d5bd0a886512443d493697db7612edf7054a92bd77719765b8\",0,\"number_theory_274831\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004206.lean\",\"ac66d25ac79682675faed8eefa4913be06a68680f0214b56b233272598b5ceca\",0,\"number_theory_605567\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004207.lean\",\"9b3f4ec5c4ccb9c8ff0aaa0ceee0b501363dad113792faa7440615864f3db65e\",0,\"algebra_13796\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004209.lean\",\"373061e8793872ea346e3ba8ca7220fdcaed46af5c917bc8ac9f8990e0714432\",0,\"algebra_20347\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000842.json b/manifests/batches/numina/000842.json
index d41e98c67315499b25523ccc2807177303ec6405..132f478a119b363ce0ae8c5e68ed38121847e83b 100644
--- a/manifests/batches/numina/000842.json
+++ b/manifests/batches/numina/000842.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000842",
   "batch_fingerprint": "26f4eae7f85152d5c0f046a0add10d8d1f373c1b961a838c3085953fec822dc2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000842-0000-69c2c1b198384160.parquet",
-      "sha256": "69c2c1b198384160155ba886ffb069ef2e0c3083d806d5e1016fc7211a5d6f74",
-      "bytes": 153629,
-      "rows": 10,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/numina-000842-0000-7fb03adcf5b5f8bf.parquet",
-      "sha256": "7fb03adcf5b5f8bf6ef407afd5721999b39799647cd6723a4bb9f683d7c8af09",
-      "bytes": 28261,
-      "rows": 3,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08a92869-afe8-5079-8819-d2abb0cfe831",
     "numina:1a0e69c5-b488-5319-9224-e076131bd7d3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004212.lean\",\"b9ed824274a82416bbc9201cecf643bc0b3e3f2d29781ee76c37bffc5f6b9e80\",0,\"algebra_12651\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004213.lean\",\"65d1eaeb6cce60c8c34d56bfe9b006ecc9cea44bc2e31ae90fc558e43cc81bd9\",0,\"algebra_274875\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004214.lean\",\"75d5a5cb6c68704522099e76fec77a711e3cf720f0331f55c088f693536decab\",0,\"algebra_142338\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153629,
+      "path": "data/train/p0b/numina-000842-0000-69c2c1b198384160.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "69c2c1b198384160155ba886ffb069ef2e0c3083d806d5e1016fc7211a5d6f74"
+    },
+    {
+      "bytes": 28261,
+      "path": "data/dev/p0b/numina-000842-0000-7fb03adcf5b5f8bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7fb03adcf5b5f8bf6ef407afd5721999b39799647cd6723a4bb9f683d7c8af09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000843.json b/manifests/batches/numina/000843.json
index 70b4bff2a65872119dc1559f14690c5c0c7a0e85..7efccc3d5127f6fc5d1547f793e461bbc8fb83cf 100644
--- a/manifests/batches/numina/000843.json
+++ b/manifests/batches/numina/000843.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000843",
   "batch_fingerprint": "3f918c52a65e1e5033688d4b7243f9f01f44b55a2e02066b7f30d02d9507dc44",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000843-0000-7a73830cce183db4.parquet",
-      "sha256": "7a73830cce183db44df35843589be54899ab0449520a61658e0f49d365da1885",
-      "bytes": 68901,
-      "rows": 9,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    },
-    {
-      "path": "data/dev/numina-000843-0000-40cc2ebf168c46a4.parquet",
-      "sha256": "40cc2ebf168c46a45acd272e3477124d1543db31e233f6bfc5af5351f965d66a",
-      "bytes": 118769,
-      "rows": 7,
-      "revision": "245cb325dc449e5f52470baa7b2d9518d7860cbd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11bdfb8e-3a96-509c-9017-83c0f6e33e4c",
     "numina:29059eae-5efb-578b-9535-08ae7d6cec00",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004217.lean\",\"b9c303d14afdd528ca263bd6597a12302878454f9f61c9a9468c3eeaf3def867\",0,\"calculus_22746\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004218.lean\",\"c9a2c64e9d3852abcd927ce3703a6341177bba24bb024fda18b49e73e1d532ab\",0,\"algebra_285866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004219.lean\",\"756b45ff45af35ff0421d09e1ff7fa08659f4ce27b186f3f63216c938e90dfeb\",0,\"algebra_15301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68901,
+      "path": "data/train/p8e/numina-000843-0000-7a73830cce183db4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7a73830cce183db44df35843589be54899ab0449520a61658e0f49d365da1885"
+    },
+    {
+      "bytes": 118769,
+      "path": "data/dev/p8e/numina-000843-0000-40cc2ebf168c46a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "40cc2ebf168c46a45acd272e3477124d1543db31e233f6bfc5af5351f965d66a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000844.json b/manifests/batches/numina/000844.json
index a70edf87e53be4404264593aa116050474f0e13c..1a54b6ad2157347a2f2f1afc1c441a69f2199a1b 100644
--- a/manifests/batches/numina/000844.json
+++ b/manifests/batches/numina/000844.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000844",
   "batch_fingerprint": "a2cb378dc7617e6ee5364f69e4d5d2684762aa3e0f620dad1f5df895d6435590",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000844-0000-0d65f30fadcfa3a6.parquet",
-      "sha256": "0d65f30fadcfa3a6b3e9394c5d5deb1cc34343bad27a70c9d8ae344f4a52a572",
-      "bytes": 341409,
-      "rows": 39,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1719c11d-7859-55eb-96dd-574b8ac640ae",
     "numina:2ab4acb7-3c90-5b62-976a-a3de7377c93a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004222.lean\",\"5be2a003d68fcaf7da32b48a528c723da971ecfce328b2be319629c69e985425\",0,\"number_theory_22922\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004223.lean\",\"0d3bb905e825b375bedcf7105cb25d34a62ab8bab83b2b09feb1d511df5e9eee\",0,\"algebra_20958\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004224.lean\",\"78d7d610c527b5c2d8cf8e2a55c45140814a06f2b391b958adecaa59a80c0e36\",0,\"number_theory_13269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341409,
+      "path": "data/train/pd0/numina-000844-0000-0d65f30fadcfa3a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "0d65f30fadcfa3a6b3e9394c5d5deb1cc34343bad27a70c9d8ae344f4a52a572"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000845.json b/manifests/batches/numina/000845.json
index f0e0923fd2c22dc27d290be81c5f6f948299f290..134376674ae9fb6de07d85adc23e4c345598f67e 100644
--- a/manifests/batches/numina/000845.json
+++ b/manifests/batches/numina/000845.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000845",
   "batch_fingerprint": "69842f2be4a515f1b7d53aca64ac0f5a64b3e2eaa196c98cbb5e93b18f08f742",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000845-0000-ec0e12d47a8b93e1.parquet",
-      "sha256": "ec0e12d47a8b93e1b2e2c1384e0eb616b75a69220c711e34c87593fffec89991",
-      "bytes": 262163,
-      "rows": 21,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05689e6a-feb5-5ab7-8080-ae5fb555e9ff",
     "numina:56181f7d-f2b3-55ff-b56d-87d3e31fe880",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004227.lean\",\"0382071a4d60d7b70365245cb6810c3f3509e1d7d55404f18eaf4e5060359ee9\",0,\"algebra_21803\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004228.lean\",\"48bd2bd423174e4d6b0012fc0cd8aedb90509ed033856167788697f02395259b\",0,\"algebra_199707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004229.lean\",\"bf8570208c0d8e8148a403ae10d74110295ec8add60e56ec3f8ac05f23c30d9d\",0,\"algebra_19122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262163,
+      "path": "data/train/p3c/numina-000845-0000-ec0e12d47a8b93e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ec0e12d47a8b93e1b2e2c1384e0eb616b75a69220c711e34c87593fffec89991"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000846.json b/manifests/batches/numina/000846.json
index 141c730ac77d890eefda4fc0ff9d18991ba07e98..172c8213099ac41d9d8b208aec80eff7746a7c42 100644
--- a/manifests/batches/numina/000846.json
+++ b/manifests/batches/numina/000846.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000846",
   "batch_fingerprint": "1748e16b20883014d8eeac972ccbec3d83fa2ec900a10e511a699e419a57be77",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000846-0000-4624a069ae7c3e88.parquet",
-      "sha256": "4624a069ae7c3e88ada0cb4cc301b9ba2f317cdbf1e50f21fa6efb5dc6b8fbe4",
-      "bytes": 221476,
-      "rows": 29,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/numina-000846-0000-54bc9fb6f7005994.parquet",
-      "sha256": "54bc9fb6f7005994bedbaf26a274ef1f067d5fca57cfd92a96cadfe9460a35e7",
-      "bytes": 88251,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a4c80fd-0ab9-57ec-a6bd-bb7332933b8a",
     "numina:208d0e07-60fb-5609-9e01-b4c916d900b7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004232.lean\",\"cb886669d72d0f177d6fc35231c8c88a9a33f10cc4d0e2330c537462d18d4294\",0,\"algebra_9422\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004233.lean\",\"2795b420f0f7a42127e28ed71e44b5069dc40e68946c5b59a952d506e22c4052\",0,\"algebra_24188\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004234.lean\",\"679b5b047171a56d56a180ab97c89c5f132cf776d4012c28f9478e9dd194cd58\",0,\"algebra_23933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221476,
+      "path": "data/train/p84/numina-000846-0000-4624a069ae7c3e88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4624a069ae7c3e88ada0cb4cc301b9ba2f317cdbf1e50f21fa6efb5dc6b8fbe4"
+    },
+    {
+      "bytes": 88251,
+      "path": "data/internal_test/p84/numina-000846-0000-54bc9fb6f7005994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "54bc9fb6f7005994bedbaf26a274ef1f067d5fca57cfd92a96cadfe9460a35e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000847.json b/manifests/batches/numina/000847.json
index 63fb1f240a247a99fed7aeed21b3aa43ebb8f162..c518f3502f896ab7bc445dd5fb0f626072865528 100644
--- a/manifests/batches/numina/000847.json
+++ b/manifests/batches/numina/000847.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000847",
   "batch_fingerprint": "dc637dee3e91ebba193240b84bbcd81d329d9a0f386077041c7ad2e919c530cb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000847-0000-1f6dc32ef64c58f6.parquet",
-      "sha256": "1f6dc32ef64c58f62cd06a73e7beacd396ae5d4b8154be12308392e6ed62aea5",
-      "bytes": 41696,
-      "rows": 7,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/numina-000847-0000-fe3a0165df4ca8e4.parquet",
-      "sha256": "fe3a0165df4ca8e4b7a4c8320bd5d1be8a84483444ecbae6e6fcc8ce2e2baf40",
-      "bytes": 76419,
-      "rows": 3,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/dev/numina-000847-0001-832d3729d6989d37.parquet",
-      "sha256": "832d3729d6989d37eb6fef0176f7bb67d1f3983a9835990c6e5b3978cf05e4c2",
-      "bytes": 1135816,
-      "rows": 1,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f40f95a-27ba-5865-b2de-c26dfe053358",
     "numina:445ab2ce-e25e-5b0f-a55d-6703f1859a7a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004237.lean\",\"6f43bdb451d334e1cd4c87501a598373e987dc8af0bd65bbc554b985113e3264\",0,\"algebra_15068\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004238.lean\",\"4976e0001b1598f3b8bafd11333b372a75b5b596545cf7a8b3a64926de4246b9\",0,\"inequalities_23559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004239.lean\",\"6fd08e0878c3206d525028a444c67e9e2172aa4d9fdbde2acad35519aaf31edd\",0,\"number_theory_22832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 41696,
+      "path": "data/train/p39/numina-000847-0000-1f6dc32ef64c58f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1f6dc32ef64c58f62cd06a73e7beacd396ae5d4b8154be12308392e6ed62aea5"
+    },
+    {
+      "bytes": 76419,
+      "path": "data/dev/p39/numina-000847-0000-fe3a0165df4ca8e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fe3a0165df4ca8e4b7a4c8320bd5d1be8a84483444ecbae6e6fcc8ce2e2baf40"
+    },
+    {
+      "bytes": 1135816,
+      "path": "data/dev/p39/numina-000847-0001-832d3729d6989d37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "832d3729d6989d37eb6fef0176f7bb67d1f3983a9835990c6e5b3978cf05e4c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000848.json b/manifests/batches/numina/000848.json
index 062682fcbc3db6e67bffa34a9c07951ec5693123..3d250c2fadf68b249e01fbe73957d4ba2cb77b97 100644
--- a/manifests/batches/numina/000848.json
+++ b/manifests/batches/numina/000848.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000848",
   "batch_fingerprint": "cad5d2cbc5f4d4ad3c08400eb0b5808f8b2b666401c2ea674609a376b7ab84d9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000848-0000-d8eff76f5e40d1a6.parquet",
-      "sha256": "d8eff76f5e40d1a60e4555f7ad06250aca7f701314d40c366fe598c1b4c51ee5",
-      "bytes": 290016,
-      "rows": 30,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:063eff41-715f-5f9e-a20f-7252fa9cb33a",
     "numina:2c821640-2e95-5d81-afc7-b8afe71eb996",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004242.lean\",\"f0239ef323248098e2a73969d1531b3f2f5e5357e4f4d58d59eb9cd4b76050ea\",0,\"algebra_9044\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004243.lean\",\"736999f985dbda84ac200250e6550ba4a3f69588ba9aa0c39d25d19d5aa45034\",0,\"number_theory_128954\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004244.lean\",\"4673de48790882c31869fcd4b58395f264d563d699cec3e78606c0af11aa397a\",0,\"algebra_9425\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290016,
+      "path": "data/train/pf5/numina-000848-0000-d8eff76f5e40d1a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d8eff76f5e40d1a60e4555f7ad06250aca7f701314d40c366fe598c1b4c51ee5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000849.json b/manifests/batches/numina/000849.json
index 04fc18b4118b078edcf61256e258b98b968dfc5d..c774d8c0dc75832b96c2d118bad21f634ca14830 100644
--- a/manifests/batches/numina/000849.json
+++ b/manifests/batches/numina/000849.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000849",
   "batch_fingerprint": "9472878ed65d32676d5b37089cf5083e6a20a2fbc5c6789df4f47c54c7e93845",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000849-0000-5ed3bbcb25b3ea6b.parquet",
-      "sha256": "5ed3bbcb25b3ea6b186287bf482355c0ce8b8eee4ee444cd09818aaae6370cf9",
-      "bytes": 409645,
-      "rows": 26,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07e2be72-abc6-5fd9-9165-52989a54e196",
     "numina:109c3a73-bd71-50a9-baeb-f57b0bf38256",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004247.lean\",\"8c3558e4f4b2c1895ee8fdea294b4bf3e2673c161e284cd34e05e28ce292d825\",0,\"number_theory_14834\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004248.lean\",\"e6feb223318f802fe2a30ae57d7f7a16425819e349c7efcfb778138c8caaadd2\",0,\"algebra_19173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004249.lean\",\"0c787e420a42126e07de9232f760526be0231638787459d7b29ead288f569a3f\",0,\"algebra_95580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409645,
+      "path": "data/train/p31/numina-000849-0000-5ed3bbcb25b3ea6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5ed3bbcb25b3ea6b186287bf482355c0ce8b8eee4ee444cd09818aaae6370cf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000850.json b/manifests/batches/numina/000850.json
index 3c073786aae7bbc84546355d679b783403ed3397..799689047fda163e7c2c99976837bd1c34b7fbc2 100644
--- a/manifests/batches/numina/000850.json
+++ b/manifests/batches/numina/000850.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000850",
   "batch_fingerprint": "71e0fc59b15af5accd49069597e352739743b30592ae0de126b3268f0f8ad68c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000850-0000-82f9de900f9f347d.parquet",
-      "sha256": "82f9de900f9f347d7fae7fe836ef0ba092f7ce81f91469925db4f9d6e1eabeeb",
-      "bytes": 184557,
-      "rows": 19,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    },
-    {
-      "path": "data/internal_test/numina-000850-0000-b1dd2f9b12669594.parquet",
-      "sha256": "b1dd2f9b126695948bf73ac697babf609cf29c2306495195f0a2629f9bc7415f",
-      "bytes": 69272,
-      "rows": 6,
-      "revision": "e8affec01139df07338267e3d98c0f6581e015c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39f693fd-c0e7-58ab-8d90-31df242af4b1",
     "numina:45335461-a969-56ab-a677-bdd491ca0267",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004252.lean\",\"e72749cb79cb332ed44f747933bf8fab6c93e94ff81f75df4daf2402183e09af\",0,\"algebra_611230\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004253.lean\",\"1823dbaf36668e0ba1e12e405ff1bdc651c72ca9dff20b51cddbc56d1d83946c\",0,\"algebra_11063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004254.lean\",\"fe19430e2998cc60861352e0b227a4a3d73f4d1784daa68f1536c6f59f8f0eb2\",0,\"algebra_9051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184557,
+      "path": "data/train/pf5/numina-000850-0000-82f9de900f9f347d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "82f9de900f9f347d7fae7fe836ef0ba092f7ce81f91469925db4f9d6e1eabeeb"
+    },
+    {
+      "bytes": 69272,
+      "path": "data/internal_test/pf5/numina-000850-0000-b1dd2f9b12669594.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b1dd2f9b126695948bf73ac697babf609cf29c2306495195f0a2629f9bc7415f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000851.json b/manifests/batches/numina/000851.json
index 4773dec1dba1cd94985a6b83e5e4191726cae5d7..e04b9aeee36482cc2193e6dde03b70cc60298f26 100644
--- a/manifests/batches/numina/000851.json
+++ b/manifests/batches/numina/000851.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000851",
   "batch_fingerprint": "aa1c3f89f030d778281d3ef3e861efabed2f5aa3a2182a50f5a7185b7387a3db",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000851-0000-6eef12a67485b75a.parquet",
-      "sha256": "6eef12a67485b75a980bda7158eddff62f6e2091178815cc6da27d17e441184a",
-      "bytes": 230328,
-      "rows": 35,
-      "revision": "a5fea4a54bb3933eb6d8ee841fbcc3d6d5053599"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1352702d-c8e1-510e-a3cc-b7504d294706",
     "numina:56151c6e-6d94-55cf-a412-7630e5e2ed0e",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004257.lean\",\"ecbb1173bce525c97e401402344a01413847f59ae7505e1d3d166f9e0d685615\",0,\"number_theory_12345\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004258.lean\",\"68e9fdbb0a7638628cf9e77f89ce67d2419952e5bd82813542e519806a31bea4\",0,\"algebra_14535\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004259.lean\",\"70886a2c2f1f5fda517de2e48e19bbbb6a210c84a718046078044d897cdee563\",0,\"algebra_611245\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230328,
+      "path": "data/train/p3f/numina-000851-0000-6eef12a67485b75a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "6eef12a67485b75a980bda7158eddff62f6e2091178815cc6da27d17e441184a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000852.json b/manifests/batches/numina/000852.json
index f8bbf4542e913bbc32e9f91c46d917ad86a7ee32..d8ad7c2bb4f41b1d223eaf33a86b88fa1df06e88 100644
--- a/manifests/batches/numina/000852.json
+++ b/manifests/batches/numina/000852.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000852",
   "batch_fingerprint": "789e2ee06ab34d94d598fa9cc847608014636992a5be85b6b0b06fbd25bce217",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000852-0000-c93b65a9d9bfc78c.parquet",
-      "sha256": "c93b65a9d9bfc78c84f5a6c17cb9f27de3879346dd8d67516889784b503b00bf",
-      "bytes": 330486,
-      "rows": 19,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14dd15f2-29b4-5f5b-927a-12eed3ab894a",
     "numina:33f8d99b-271e-5163-8677-f386aa7b6350",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004262.lean\",\"6eaba173e51b688961d91ec78b419f1ce241da78570c1becfaf215da29fe44f9\",0,\"algebra_178093\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004263.lean\",\"1027c5d53e18c254954525bcd8f19c9b2a31cf8ee034efe66d670bf83161f155\",0,\"algebra_98593\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004264.lean\",\"6668bc6d74e92069b0d9c0fd593af4c6abcdc6d716c81aa81fd0e27c45d3a00f\",0,\"number_theory_607725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330486,
+      "path": "data/train/p19/numina-000852-0000-c93b65a9d9bfc78c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c93b65a9d9bfc78c84f5a6c17cb9f27de3879346dd8d67516889784b503b00bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000853.json b/manifests/batches/numina/000853.json
index 99c379d83cfe5bcbfd90cdd4e6399c049787694f..345c8a5b077ae658663ef2822825ddfed54971af 100644
--- a/manifests/batches/numina/000853.json
+++ b/manifests/batches/numina/000853.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000853",
   "batch_fingerprint": "78bf3805433d7a8372eb751e90afbc7c991294129466c4b02b761bb50026fc2f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000853-0000-f6e447f5130d8f2e.parquet",
-      "sha256": "f6e447f5130d8f2e647d01547d55d3bad508b7e36013a6fce48c1894f9f9da65",
-      "bytes": 102365,
-      "rows": 13,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:155c7ff8-742b-5658-8c72-4a5eba6a87d7",
     "numina:17a1b79b-a52f-517b-92e4-b4a5fe21a8cc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004267.lean\",\"59b7c7db6d78dcb7336daf56e09269ce20cc41609a79e3463f1dd022be82a0af\",0,\"number_theory_574\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004268.lean\",\"c13535c5ef944dcb081626965cd3827a7066261fe80d017a0cc0b7e8e1036c72\",0,\"algebra_232922\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004269.lean\",\"84e87ff6e66f71cd9201147d1531d919673ac2f8d07456f8722553bc3baf8fb4\",0,\"algebra_11084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102365,
+      "path": "data/train/p23/numina-000853-0000-f6e447f5130d8f2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f6e447f5130d8f2e647d01547d55d3bad508b7e36013a6fce48c1894f9f9da65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000854.json b/manifests/batches/numina/000854.json
index c2700d2011135ef825347837abf804400d64736b..99cbcbbaaaa4dbc9042c2c87e70d7f5e3a7d0a07 100644
--- a/manifests/batches/numina/000854.json
+++ b/manifests/batches/numina/000854.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000854",
   "batch_fingerprint": "f5450e62250ecd8ab1540b37a4d82037ae176d058d518e8e40317dea5faaa9c4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000854-0000-0fd24153eecf6582.parquet",
-      "sha256": "0fd24153eecf6582fe98f60cadb163e74c5dc191930968d25e7d3383fcf2bfad",
-      "bytes": 104672,
-      "rows": 22,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02cae9ff-6d99-5d76-8d0f-477155c7d66a",
     "numina:4aea7a0a-aace-5627-bf82-81c556a12757",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004272.lean\",\"eb23cfcb9cbf47ba5daa7e61ab61a8f48d7209eeff71149d3270961221389397\",0,\"number_theory_12355\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004273.lean\",\"8fc6a8108685327aa0e54e0faf9af58da4d81605b17f8caa1c4416a98ac8019b\",0,\"algebra_10569\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004274.lean\",\"14db1fa6d2fafc44fd2b04a843cbc85554bf8df41e96f9ef42954ccb2051e5c7\",0,\"AIME_Algebra_12361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104672,
+      "path": "data/train/p81/numina-000854-0000-0fd24153eecf6582.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0fd24153eecf6582fe98f60cadb163e74c5dc191930968d25e7d3383fcf2bfad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000855.json b/manifests/batches/numina/000855.json
index 2711b558689ffa9f3c21fe2698d196e90a923927..684833654f6c877b4c20510c1fc258120f153e82 100644
--- a/manifests/batches/numina/000855.json
+++ b/manifests/batches/numina/000855.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000855",
   "batch_fingerprint": "f97c8f0518828d393c82c260c39cf133f6fa6a48f8fe78f225075606415be883",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000855-0000-7d27f62ff44bf199.parquet",
-      "sha256": "7d27f62ff44bf1997e51d0c078a2708f7f0a286682512595433b59bae629e727",
-      "bytes": 66203,
-      "rows": 15,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/numina-000855-0000-cde2fb6f3afc89e7.parquet",
-      "sha256": "cde2fb6f3afc89e77680c3b2cad532c5c05b83b88fc173b77320219386f14e5d",
-      "bytes": 24970,
-      "rows": 2,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54b9a1f3-06fe-5f9f-b18f-2613200641f0",
     "numina:8cf171b5-b26c-5e28-9957-1800f8b46855",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004277.lean\",\"d05bb28f996d3e588e1870af7733c8679cf0affa69d9c00bafbdedc6a267b7a5\",0,\"number_theory_128088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004278.lean\",\"4f8c3a513444efa9612df807cd118e4ab32524496d96bc27b941d9bdbe159ca0\",0,\"algebra_15391\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004279.lean\",\"1daaa2a43398930208f08279233754e454cd60fbb4eb1caf09006dcd79d87b9b\",0,\"number_theory_15394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66203,
+      "path": "data/train/p82/numina-000855-0000-7d27f62ff44bf199.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7d27f62ff44bf1997e51d0c078a2708f7f0a286682512595433b59bae629e727"
+    },
+    {
+      "bytes": 24970,
+      "path": "data/dev/p82/numina-000855-0000-cde2fb6f3afc89e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cde2fb6f3afc89e77680c3b2cad532c5c05b83b88fc173b77320219386f14e5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000856.json b/manifests/batches/numina/000856.json
index ed698442c6bd3dbfec2cac82966404b1d081a030..c37dc23ad75b8fe180526c97594a8ed5f3e2f58a 100644
--- a/manifests/batches/numina/000856.json
+++ b/manifests/batches/numina/000856.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000856",
   "batch_fingerprint": "ea68781046f3fcfa71c5e3668e13d89c07cb0a472e68dc93f4e43a638eef2932",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000856-0000-d66b16bf54b8adfc.parquet",
-      "sha256": "d66b16bf54b8adfc811188f83e44bde51be79c46496b847697de0d86cf7007f4",
-      "bytes": 508446,
-      "rows": 26,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/train/numina-000856-0001-b4302dbe91db811b.parquet",
-      "sha256": "b4302dbe91db811b97fcd448693cbec1f7eb6451c96c951544392c06088c61b8",
-      "bytes": 203133,
-      "rows": 5,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/numina-000856-0000-57f31e1c77c9060f.parquet",
-      "sha256": "57f31e1c77c9060febc5cf9ec9f28fd8098a08b5c9ef3588a8d1a379255de07b",
-      "bytes": 137613,
-      "rows": 14,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8b90965a-fcfb-5fc9-a6fe-207def4a2f92",
     "numina:931dd76e-62a3-5792-a37c-f2433387ab2b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004282.lean\",\"b57f103534e0d02a58820a9ab336ee7ed0da20664ffd1d5ed7810fffdb08a577\",0,\"algebra_21208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004283.lean\",\"0a34b9a9d481489e9c3a7a3738fe1bfa700396ebf9065ce3c5e461d35beab97c\",0,\"algebra_13008\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004284.lean\",\"f788742acfb0e483159a2ca1fa18ff10f7dd24bb687b2adff11807a4986a4b60\",0,\"algebra_15397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 508446,
+      "path": "data/train/pfb/numina-000856-0000-d66b16bf54b8adfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d66b16bf54b8adfc811188f83e44bde51be79c46496b847697de0d86cf7007f4"
+    },
+    {
+      "bytes": 203133,
+      "path": "data/train/pfb/numina-000856-0001-b4302dbe91db811b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b4302dbe91db811b97fcd448693cbec1f7eb6451c96c951544392c06088c61b8"
+    },
+    {
+      "bytes": 137613,
+      "path": "data/internal_test/pfb/numina-000856-0000-57f31e1c77c9060f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "57f31e1c77c9060febc5cf9ec9f28fd8098a08b5c9ef3588a8d1a379255de07b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000857.json b/manifests/batches/numina/000857.json
index 6c0b4522d79a869bdb8fda6c8794df370e9d9406..bc75735c2ac9c9f5993061480781e17306346538 100644
--- a/manifests/batches/numina/000857.json
+++ b/manifests/batches/numina/000857.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000857",
   "batch_fingerprint": "955c61fa26ba7bce5e534fd2c762fbf05f28f0bb541ed63f7103438574cde7a6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000857-0000-366275a3a057ec83.parquet",
-      "sha256": "366275a3a057ec83efb0e66e78a4eb4c57fdce7fd6a16256e7c6ca85a3938ada",
-      "bytes": 357747,
-      "rows": 31,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26a3a9a4-9600-53c9-974f-4d6e24a4a2da",
     "numina:63f93fa4-71cf-5cdc-8320-539cb768009a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004287.lean\",\"1b9197d1eef24c71d102a28532d7ba228a0ad9c5571c0307ece3b2044fe4e02a\",0,\"algebra_12053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004288.lean\",\"d4a5c4aa29a7823228053c022a92bf3b9a199084f2e2bf1ac0d5bbea0c9efad4\",0,\"algebra_19278\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004289.lean\",\"b79e2ef96fce0a4c4779388da8261a0fb9f26f4b0187a15c8107477c587a4610\",0,\"inequalities_127839\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357747,
+      "path": "data/train/p9d/numina-000857-0000-366275a3a057ec83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "366275a3a057ec83efb0e66e78a4eb4c57fdce7fd6a16256e7c6ca85a3938ada"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000858.json b/manifests/batches/numina/000858.json
index 26fae42e34e581f96fba6614aa16304cd1f909b3..1e1a13c71db138c10158976df34407e851e0820f 100644
--- a/manifests/batches/numina/000858.json
+++ b/manifests/batches/numina/000858.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000858",
   "batch_fingerprint": "e6525d76225dee8a366944c9cbc11753a083c64f09b29559dbf4aa073728839b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000858-0000-b6c26201e776ba17.parquet",
-      "sha256": "b6c26201e776ba17c188985232e8b0225f7339ec50271b8d3c8173a44898e8fa",
-      "bytes": 43620,
-      "rows": 8,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/numina-000858-0000-a5daf787f546487d.parquet",
-      "sha256": "a5daf787f546487d0d0e991aab480367d708b74e63e472eced98925c0e8569c3",
-      "bytes": 267505,
-      "rows": 18,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14c80bca-0c2f-522a-b02c-b07e38894a67",
     "numina:8932c016-bf88-506b-9361-c6c4b4a3c9d0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004292.lean\",\"e01d044a32ac45f981bee3bd5e81ab1e7d3793607d9062dd715df34106deba68\",0,\"algebra_14380\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004293.lean\",\"1068b5db552edc617543770a1e1e12cfe70f2b6b2b5468d026366ee99a0d9f66\",0,\"algebra_1552\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004294.lean\",\"3d8a0eecdc26741cd7a1ce24586ec30f702ee419e621ee0b4bdb72e9f5d500da\",0,\"algebra_12692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43620,
+      "path": "data/train/p95/numina-000858-0000-b6c26201e776ba17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b6c26201e776ba17c188985232e8b0225f7339ec50271b8d3c8173a44898e8fa"
+    },
+    {
+      "bytes": 267505,
+      "path": "data/dev/p95/numina-000858-0000-a5daf787f546487d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a5daf787f546487d0d0e991aab480367d708b74e63e472eced98925c0e8569c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000859.json b/manifests/batches/numina/000859.json
index 654407071317236d2dbf44bb74747dbb30f73c95..eea870f7266843f50aadd89a2779c18d5161f9dd 100644
--- a/manifests/batches/numina/000859.json
+++ b/manifests/batches/numina/000859.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000859",
   "batch_fingerprint": "ee3177486a4d2da33aa710a08748b3961e022f9f30e389c8f02a3f173d059607",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000859-0000-64fae662c3695b92.parquet",
-      "sha256": "64fae662c3695b9252d648aa9a427b95e56e96c9463c2e25bdb91cc15349bdab",
-      "bytes": 31729,
-      "rows": 4,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/dev/numina-000859-0000-a07b1714a0a15bf5.parquet",
-      "sha256": "a07b1714a0a15bf5b691318780ff28568e024461495e1585895c20850437308c",
-      "bytes": 161739,
-      "rows": 6,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    },
-    {
-      "path": "data/internal_test/numina-000859-0000-19f08f65b1fb6e6b.parquet",
-      "sha256": "19f08f65b1fb6e6baff8541ffd116753a2492fd9d0286dcb4e6a1e78dfcde363",
-      "bytes": 49636,
-      "rows": 4,
-      "revision": "bf500296febebd8b7d4a271988aca1ca5bb639d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:016bf3f3-1893-50d0-a4e4-38b9ee3074ba",
     "numina:1a9098cd-18e8-5aef-a548-aebc56e454b6",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004297.lean\",\"f942a65b01e345d82419ddd33f7938596a90458533b73e9aeb64cdf10fc9cd02\",0,\"number_theory_607933\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004298.lean\",\"c30b2927981c15b714acd621983baa2dd092c8b330079232961c9828c6aa36cc\",0,\"algebra_22256\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004299.lean\",\"3ada14567790f88c7049cf15ae75c67f3e2bd3bc4ec7d0ee5309409e872c99ec\",0,\"algebra_234514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 31729,
+      "path": "data/train/p0f/numina-000859-0000-64fae662c3695b92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "64fae662c3695b9252d648aa9a427b95e56e96c9463c2e25bdb91cc15349bdab"
+    },
+    {
+      "bytes": 161739,
+      "path": "data/dev/p0f/numina-000859-0000-a07b1714a0a15bf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a07b1714a0a15bf5b691318780ff28568e024461495e1585895c20850437308c"
+    },
+    {
+      "bytes": 49636,
+      "path": "data/internal_test/p0f/numina-000859-0000-19f08f65b1fb6e6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "19f08f65b1fb6e6baff8541ffd116753a2492fd9d0286dcb4e6a1e78dfcde363"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000860.json b/manifests/batches/numina/000860.json
index f464cc823cc4038d1de3334b7e63c3b846a69166..c37b33f201d00f868d27fc8936fbf7473dbcfd72 100644
--- a/manifests/batches/numina/000860.json
+++ b/manifests/batches/numina/000860.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000860",
   "batch_fingerprint": "e5ca9413244eb8d4bb319b5ebea19a08af392b977197c3a49576971e4c7960ba",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000860-0000-ba07afaaf570255a.parquet",
-      "sha256": "ba07afaaf570255a54fc31e2719229e40f6fbcfb380190637e5377b8d267f08a",
-      "bytes": 198867,
-      "rows": 29,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/dev/numina-000860-0000-6c340a7787ca4f7c.parquet",
-      "sha256": "6c340a7787ca4f7cc625f6a7fee5afeccba525bea0a1efaa0d59263597840636",
-      "bytes": 22190,
-      "rows": 1,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:108b1870-f795-5b8b-9bdd-bfd7224bc204",
     "numina:7631bb8f-e3e1-54d1-934c-1b6ce1a4965b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004302.lean\",\"aaf7e8f293ddd445d42312b04f9c6daf2848c6aa77cd8c46b47eb4725f05520c\",0,\"algebra_12254\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004303.lean\",\"1fa643c65e70279f0e760a8eaf0e287ed0d8ff7c3148b968a862623a1905d1fb\",0,\"algebra_12638\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004304.lean\",\"c55a6c8ccd46029b429389ad3728603ee97f3b1b825adfbdf8167ee313306dc6\",0,\"algebra_9428\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198867,
+      "path": "data/train/pb2/numina-000860-0000-ba07afaaf570255a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ba07afaaf570255a54fc31e2719229e40f6fbcfb380190637e5377b8d267f08a"
+    },
+    {
+      "bytes": 22190,
+      "path": "data/dev/pb2/numina-000860-0000-6c340a7787ca4f7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6c340a7787ca4f7cc625f6a7fee5afeccba525bea0a1efaa0d59263597840636"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000861.json b/manifests/batches/numina/000861.json
index 97b9afc785d164d97f6b19d35f571f7132645bed..37b2fba1fe51b50aed02559267cb5a09eab406f7 100644
--- a/manifests/batches/numina/000861.json
+++ b/manifests/batches/numina/000861.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000861",
   "batch_fingerprint": "1753a7bce51addc7c297093e7ca4001ff18c2b9fc8903423ec27dcf278440bfc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000861-0000-c6fdb4d96867ac68.parquet",
-      "sha256": "c6fdb4d96867ac6802b5e7054bb44513fcf94fe813b2cb259456935df16fd7ea",
-      "bytes": 195143,
-      "rows": 37,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:33135e91-c3ff-5973-b403-451b83eb6b49",
     "numina:621d5eb0-bac3-5995-b943-1be00baefff8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004307.lean\",\"b862d9500c4f91c9aa55359ab8a5b914157406872b77a46aecd1bcb693a79dfa\",0,\"calculus_156790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004308.lean\",\"b034a814e0d8aeeeebc5f8d34c62090554f719f7a0087d691b2dca8c30ac9d69\",0,\"number_theory_15910\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004309.lean\",\"73ce0e6b716080d6c8c9b6dfc48e4c83de80064bbf9acd70a517bb1a023eca41\",0,\"calculus_22967\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195143,
+      "path": "data/train/pd4/numina-000861-0000-c6fdb4d96867ac68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c6fdb4d96867ac6802b5e7054bb44513fcf94fe813b2cb259456935df16fd7ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000862.json b/manifests/batches/numina/000862.json
index 83bba9676c53161bfbd2b9878c9ff2e85ecbb2a4..87c16cb89346b80d592f4b521c4a264ac362b77c 100644
--- a/manifests/batches/numina/000862.json
+++ b/manifests/batches/numina/000862.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000862",
   "batch_fingerprint": "d1e546158b12067210ab1c3bb1c73924282436bb80637733ad449080c011307a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000862-0000-2c71fb5f8b093090.parquet",
-      "sha256": "2c71fb5f8b0930907f9090c8cec77c1730120addb6bc2856235ec920fc69da55",
-      "bytes": 140012,
-      "rows": 16,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e9d1f1e-c9a4-5f6e-9ace-355affd66dc0",
     "numina:81285f9e-48e2-5696-aa1d-3fb4c775d17a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004312.lean\",\"1d895ef5c1ff339f37696904cccb0acfd2075afc3172a3ba2030b30052d476d1\",0,\"algebra_21325\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004314.lean\",\"83b5341cba60c949b243cc593e93645f9255f62c661ae2c71abb96f4e8cdbcb7\",0,\"number_theory_11758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140012,
+      "path": "data/train/p7a/numina-000862-0000-2c71fb5f8b093090.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2c71fb5f8b0930907f9090c8cec77c1730120addb6bc2856235ec920fc69da55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000863.json b/manifests/batches/numina/000863.json
index 2485742f0741f2f315d7b8cbb22bf19b3df7d60d..5a32aa956b294bb0145b15196884c470a7fba9dc 100644
--- a/manifests/batches/numina/000863.json
+++ b/manifests/batches/numina/000863.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000863",
   "batch_fingerprint": "902583d84dfa72d7eab46f780b56f043b06f14b1836df42dd9682f6fb4d59a23",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000863-0000-f6875594a56dad78.parquet",
-      "sha256": "f6875594a56dad7849852c4719bbe0283fca00117cb53c3afa982ed36f546c11",
-      "bytes": 238128,
-      "rows": 26,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01dbae1d-8ed1-5b77-bba8-d79d97df9ccc",
     "numina:6978d00d-c8db-55a7-bf28-78b7278438b8",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004318.lean\",\"7a1476b5d0809c9fc0e99605beaaa456b9b4f5df96f4c9e6dd07300f7839839a\",0,\"algebra_167673\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004319.lean\",\"a55865db66e9b0f85c4232a848e4d1abe14721748d97c0eab6d30c375f52a807\",0,\"number_theory_15542\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238128,
+      "path": "data/train/p68/numina-000863-0000-f6875594a56dad78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f6875594a56dad7849852c4719bbe0283fca00117cb53c3afa982ed36f546c11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000864.json b/manifests/batches/numina/000864.json
index 7eb48812d3b4e98956e62386e00a0ead58454547..63a5793d6e314a79587688fbc1a60b7d9d6affe6 100644
--- a/manifests/batches/numina/000864.json
+++ b/manifests/batches/numina/000864.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000864",
   "batch_fingerprint": "49898e42bac821ecb24a9f23700ca27e284e859a0f5f788f0eb309b14eba3824",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000864-0000-c2ce5b1d0185bf09.parquet",
-      "sha256": "c2ce5b1d0185bf094957162b5b4a6984564ffb5342c865efad928f134c04fc0d",
-      "bytes": 74864,
-      "rows": 17,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:190fcb9e-7fa4-52cd-9e88-48b7499781e4",
     "numina:7c8c1f43-7bcb-5209-961c-cd3386a477a6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004322.lean\",\"2a8e57c5ec1dfdfaded7b943afc03af53243acc699cb5fa0cc7e4a6eed7f74af\",0,\"algebra_109804\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004323.lean\",\"5432adaa3aca484580acae47b63fc56b0cb761197660b43aea2bbe0aeeb94afe\",0,\"algebra_12590\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004324.lean\",\"dfed1e17242759ca05a9d3153f34a9e6dc80f9c610b54076a509a8e8be14ba5f\",0,\"number_theory_23002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74864,
+      "path": "data/train/p27/numina-000864-0000-c2ce5b1d0185bf09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c2ce5b1d0185bf094957162b5b4a6984564ffb5342c865efad928f134c04fc0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000865.json b/manifests/batches/numina/000865.json
index 91c7a179b754f33a6b9785aa6fc692512031d737..467f6e46a685dab56312fb728e9b5bee374c98d1 100644
--- a/manifests/batches/numina/000865.json
+++ b/manifests/batches/numina/000865.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000865",
   "batch_fingerprint": "a3382a8e6ade8c47383a45f5ccddd4e8919716389aec93fb72190d531f3c60eb",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000865-0000-1932f7cbbd2249e5.parquet",
-      "sha256": "1932f7cbbd2249e500918e42ba88684d0c1688a6e0f78289614be04b66595076",
-      "bytes": 553662,
-      "rows": 15,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/dev/numina-000865-0000-f280d6070a03b5de.parquet",
-      "sha256": "f280d6070a03b5de9a2cd2c8efae1038a7857d558c8b6f2eee9db87a756807b1",
-      "bytes": 254176,
-      "rows": 6,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    },
-    {
-      "path": "data/internal_test/numina-000865-0000-4dfd27bc2d45d5bb.parquet",
-      "sha256": "4dfd27bc2d45d5bb4748d392f92d98fdb17b7563bf44f972f66d10242e245491",
-      "bytes": 311525,
-      "rows": 28,
-      "revision": "123821808577c09df0d70f9be15ae201d6ea812f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19072a0a-7f76-54a5-8ae0-3cd066ec38a8",
     "numina:2976be20-c465-5a41-b660-ed93dce21add",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004327.lean\",\"8d3959ef247289482849c86137b9fc4db7448db7cb2851088fc1c9fec5f700c9\",0,\"inequalities_605165\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004328.lean\",\"c3af97e114d7765629dadfbb101d80d353b1b9ecf95c02eb2a62e471341a6bcf\",0,\"algebra_608881\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004329.lean\",\"f67105bbacb5b9a77d24ff66828bd7d0ad6431926e59ccff7d556ee856520492\",2,\"algebra_9394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 553662,
+      "path": "data/train/pb0/numina-000865-0000-1932f7cbbd2249e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1932f7cbbd2249e500918e42ba88684d0c1688a6e0f78289614be04b66595076"
+    },
+    {
+      "bytes": 254176,
+      "path": "data/dev/pb0/numina-000865-0000-f280d6070a03b5de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f280d6070a03b5de9a2cd2c8efae1038a7857d558c8b6f2eee9db87a756807b1"
+    },
+    {
+      "bytes": 311525,
+      "path": "data/internal_test/pb0/numina-000865-0000-4dfd27bc2d45d5bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4dfd27bc2d45d5bb4748d392f92d98fdb17b7563bf44f972f66d10242e245491"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000866.json b/manifests/batches/numina/000866.json
index c3be303451934225c3db10d9a871ab2a9f9efc09..8d6136d08e42ce9f11b386583147733f7d1948f6 100644
--- a/manifests/batches/numina/000866.json
+++ b/manifests/batches/numina/000866.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000866",
   "batch_fingerprint": "6b8eb714b7aae51623cceb7d400ba587fd903efdb178d1a1cabf7cb7464aeab6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000866-0000-c3e43974af98beb5.parquet",
-      "sha256": "c3e43974af98beb520f2f931bef52db13d2c2d82a84a7f9c146e236d85602758",
-      "bytes": 130656,
-      "rows": 21,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/numina-000866-0000-e5e8b23181e1c626.parquet",
-      "sha256": "e5e8b23181e1c6264d42888a3803ca6ed19c40807c4a546d5800caabd0e9ddcf",
-      "bytes": 65298,
-      "rows": 5,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d2c868d-040b-5f95-8049-83a435b407a5",
     "numina:3ebcad82-667b-501a-8a53-575c17d201e9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004332.lean\",\"781dbb906a95b91900bcbcdb496c342feefccbac4935fb5b7804b51ee01ad523\",0,\"algebra_8996\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004333.lean\",\"2eaf415e69217404df3704e4ae718a0839b2b23f027e05404fe15346056cc6b9\",0,\"algebra_9313\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004334.lean\",\"95890265d8fe64043e6862121303fa6b5738e7d898d4ae273d56da648fc6b50c\",0,\"number_theory_131848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130656,
+      "path": "data/train/pe4/numina-000866-0000-c3e43974af98beb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c3e43974af98beb520f2f931bef52db13d2c2d82a84a7f9c146e236d85602758"
+    },
+    {
+      "bytes": 65298,
+      "path": "data/internal_test/pe4/numina-000866-0000-e5e8b23181e1c626.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e5e8b23181e1c6264d42888a3803ca6ed19c40807c4a546d5800caabd0e9ddcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000867.json b/manifests/batches/numina/000867.json
index 10036ce5d6aaf003de738482e4368f81135670b6..e5242d7ac255255d2888af6845e0d6a5ba4f8a2f 100644
--- a/manifests/batches/numina/000867.json
+++ b/manifests/batches/numina/000867.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000867",
   "batch_fingerprint": "044d590b3b7cd24d6ecacf163f962a67be99d51c1b1cdd8dcbb93727be361c01",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000867-0000-09274cd101ba04e1.parquet",
-      "sha256": "09274cd101ba04e11dc7e784099107ebf06454eadbc3360c9807dc6bc1ea10f4",
-      "bytes": 199647,
-      "rows": 13,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    },
-    {
-      "path": "data/internal_test/numina-000867-0000-4ea2e0ba93674d0a.parquet",
-      "sha256": "4ea2e0ba93674d0a38e4f5fa96fc20b1b2282e79615cad55292710385bd6f086",
-      "bytes": 139393,
-      "rows": 28,
-      "revision": "aa134f5871222b97f78089dff9ca86abd776a514"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:42f55e69-e454-528d-853d-c1f046849f7f",
     "numina:47f9799b-15a3-5677-a00a-5c4e96c7ffcd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004337.lean\",\"275580ee9bd7f19e326ec5b367f2ddab645b536ac0f346338282642de871d475\",0,\"algebra_91553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004338.lean\",\"8976b69a07da7a8048ada5be14acadee6b840fb575d902c94d425d46cce032c6\",0,\"algebra_96117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004339.lean\",\"cad0b2e0470bd65e32a7c2438645619cd2755de02b49dca87871d585d6f3b8e5\",0,\"algebra_15505\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199647,
+      "path": "data/train/p63/numina-000867-0000-09274cd101ba04e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "09274cd101ba04e11dc7e784099107ebf06454eadbc3360c9807dc6bc1ea10f4"
+    },
+    {
+      "bytes": 139393,
+      "path": "data/internal_test/p63/numina-000867-0000-4ea2e0ba93674d0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4ea2e0ba93674d0a38e4f5fa96fc20b1b2282e79615cad55292710385bd6f086"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000868.json b/manifests/batches/numina/000868.json
index 7b8b23fdf77856b82ddf99ac5356a2a02f1f0807..3e08839103ccacc507232b27659ba8ad08bb584f 100644
--- a/manifests/batches/numina/000868.json
+++ b/manifests/batches/numina/000868.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000868",
   "batch_fingerprint": "4564c50a036e3a5c022689709a9bbf7d8568640e4d0916a97240223da991c6b6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000868-0000-192b46e27a142ac6.parquet",
-      "sha256": "192b46e27a142ac6285926e6c0aafb33802fe588ee1782f0ffc453e2dfaa28ab",
-      "bytes": 52669,
-      "rows": 10,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/numina-000868-0000-5fac527c7b5c4008.parquet",
-      "sha256": "5fac527c7b5c40084ab0c753b1a59f5b4aa0cee60d6057a77aedd6bbbebb8277",
-      "bytes": 34364,
-      "rows": 5,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00f46d63-9e6e-568a-bfd1-21907aabf790",
     "numina:65a273ef-53fa-58a7-95c4-8c67dd8104e5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004342.lean\",\"69658875a0dea5d20887ba195950127370308e6c85a8b2193e87fdf0e58aff54\",0,\"algebra_9318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004343.lean\",\"9fa0d66a332589a85bcc50f66e824be9ae1dab137750e3a0cac18461367ec4da\",0,\"algebra_14837\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004344.lean\",\"165cbbab839a8be260b9ec57795ec5494b9927594a42b0c77abd2d8f41f5641c\",0,\"algebra_15508\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52669,
+      "path": "data/train/p2a/numina-000868-0000-192b46e27a142ac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "192b46e27a142ac6285926e6c0aafb33802fe588ee1782f0ffc453e2dfaa28ab"
+    },
+    {
+      "bytes": 34364,
+      "path": "data/internal_test/p2a/numina-000868-0000-5fac527c7b5c4008.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5fac527c7b5c40084ab0c753b1a59f5b4aa0cee60d6057a77aedd6bbbebb8277"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000869.json b/manifests/batches/numina/000869.json
index b74bcbcd017dfeefe1613aca0105a8aba51753af..6233764c52717f30235bd1a652c93f8b5475763f 100644
--- a/manifests/batches/numina/000869.json
+++ b/manifests/batches/numina/000869.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000869",
   "batch_fingerprint": "2c0eeb84d90a23f4fed9812b59a6a9e3e773f75d53c77b4e2fdcb2f117003b0c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000869-0000-c4c1761bd8769c56.parquet",
-      "sha256": "c4c1761bd8769c56b4fe8f08a9c7009019672ec81a895f65e0013be34272d228",
-      "bytes": 287125,
-      "rows": 24,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/internal_test/numina-000869-0000-1ba431b3dceca750.parquet",
-      "sha256": "1ba431b3dceca7507652c8e3d20e11206c938fbf755fed0338f67e8e98b6be6a",
-      "bytes": 158124,
-      "rows": 20,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1db80b11-d79d-56d1-9eff-17a111f4b2c5",
     "numina:2485b25b-3b50-512d-a5d8-3a814b960f4e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004347.lean\",\"626f76df64f2c16ea4610dbc3f167bbea524c6dba9b19635389074ac4a1a853a\",0,\"algebra_314130\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004348.lean\",\"2f3bd4a8c2b2a19e16662ecd82a776143f075ed8408a95fcb4803c31e616ba26\",0,\"algebra_96146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004349.lean\",\"ecde7b2e53446f0d412041283e71262493857e8a91f6a34ac5460abd5c1699a5\",0,\"number_theory_7246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287125,
+      "path": "data/train/p31/numina-000869-0000-c4c1761bd8769c56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c4c1761bd8769c56b4fe8f08a9c7009019672ec81a895f65e0013be34272d228"
+    },
+    {
+      "bytes": 158124,
+      "path": "data/internal_test/p31/numina-000869-0000-1ba431b3dceca750.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1ba431b3dceca7507652c8e3d20e11206c938fbf755fed0338f67e8e98b6be6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000870.json b/manifests/batches/numina/000870.json
index 91121160b76db5c79e6d67e7660561f04b280e82..a93264bfbaabbc24237d5528ec2459bf8dcb6e1b 100644
--- a/manifests/batches/numina/000870.json
+++ b/manifests/batches/numina/000870.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000870",
   "batch_fingerprint": "e228cf81f51879a28793e1aa3f6555d621f8270fa0a2fdec866d5c10b45f75e5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000870-0000-edf203cbf5efe6c8.parquet",
-      "sha256": "edf203cbf5efe6c8b42b0524841f4d8e1bb29b30082d5a7ecdf46de829fa9c7e",
-      "bytes": 137334,
-      "rows": 35,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31efc93a-e2b5-5cb2-ba5f-f5443a35b62c",
     "numina:435ff129-e432-5fa4-84b7-806fbfa11f85",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004352.lean\",\"a8bf6b67024d1218ee194ba030f97b85a4ce4f23c514c7f05d70c0e3de72835b\",0,\"algebra_9321\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004353.lean\",\"bbc44092e2606b99704ba4fdeac0143ed72cc748fb86eebef6d61ef22eea212e\",0,\"algebra_14842\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004354.lean\",\"49aae37e004c95ca77b447fc59ebc6cb59f127c9621b0618aeb15beb4a195a76\",0,\"algebra_21265\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137334,
+      "path": "data/train/p70/numina-000870-0000-edf203cbf5efe6c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "edf203cbf5efe6c8b42b0524841f4d8e1bb29b30082d5a7ecdf46de829fa9c7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000871.json b/manifests/batches/numina/000871.json
index e9d05d47d35992fc561146e5953732ee21052a39..f586d8a305ffcb6c9767cea75fae27053ccd7496 100644
--- a/manifests/batches/numina/000871.json
+++ b/manifests/batches/numina/000871.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000871",
   "batch_fingerprint": "9213572296877307a2975dc422be544f087ded210f019ba7953db8cb25c4ee6e",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:01574a48-793b-5efe-86ca-f9c6a8e58e96",
+    "numina:67381ef5-9828-5e94-a381-15459cac240e",
+    "numina:ac854115-e733-5bff-8740-8d36f44ea197",
+    "numina:b526ea6a-4010-5490-ba87-4b10d79c3139",
+    "numina:ec2f2451-4ac7-5e28-99c6-967feccc2f70"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004355.lean\",\"5446bf73d0dbc1388d3eefce34036e2108d6a8a377575ac5eb160b9c4b1718e3\",0,\"number_theory_93405\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004356.lean\",\"07e8340606767efbb0f1a8320938547b7fe27749f8aea52ae2bf2f8e937071e5\",0,\"alg_1208\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004357.lean\",\"7fb9a0292b7ad1e9a1dde6b7a872679dbe35a474423c0148b0b32aa2c7acb505\",0,\"number_theory_15521\"]",
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+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004359.lean\",\"3224d1f7f48d06604abb6a584c90bd7d25767d9dd74741df5afca8770594f27b\",0,\"number_theory_25178\"]"
+  ],
   "shards": [
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-      "path": "data/train/numina-000871-0000-6766bceda7db50c7.parquet",
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       "bytes": 203728,
+      "path": "data/train/pb1/numina-000871-0000-6766bceda7db50c7.parquet",
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-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
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       "rows": 1,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "03f598b2649bf9a96e798e453a3e3d22946c3b8f17afbeed47be5e26518db810"
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-      "sha256": "46731cfa9216fcff53cd77fd8e92a0ebef575320bf840cc836b57e0677afa31f",
       "bytes": 221038,
+      "path": "data/train/pb1/numina-000871-0002-46731cfa9216fcff.parquet",
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       "rows": 20,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "46731cfa9216fcff53cd77fd8e92a0ebef575320bf840cc836b57e0677afa31f"
     },
     {
-      "path": "data/internal_test/numina-000871-0000-f98a5895c92dccdf.parquet",
-      "sha256": "f98a5895c92dccdf432a88c0207e6507c4b510882b3070c406d4e0a48a9c01fd",
       "bytes": 543804,
+      "path": "data/internal_test/pb1/numina-000871-0000-f98a5895c92dccdf.parquet",
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       "rows": 48,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "f98a5895c92dccdf432a88c0207e6507c4b510882b3070c406d4e0a48a9c01fd"
     }
-  ],
-  "proof_ids": [
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-    "numina:67381ef5-9828-5e94-a381-15459cac240e",
-    "numina:ac854115-e733-5bff-8740-8d36f44ea197",
-    "numina:b526ea6a-4010-5490-ba87-4b10d79c3139",
-    "numina:ec2f2451-4ac7-5e28-99c6-967feccc2f70"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004355.lean\",\"5446bf73d0dbc1388d3eefce34036e2108d6a8a377575ac5eb160b9c4b1718e3\",0,\"number_theory_93405\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004356.lean\",\"07e8340606767efbb0f1a8320938547b7fe27749f8aea52ae2bf2f8e937071e5\",0,\"alg_1208\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004357.lean\",\"7fb9a0292b7ad1e9a1dde6b7a872679dbe35a474423c0148b0b32aa2c7acb505\",0,\"number_theory_15521\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004358.lean\",\"db10578ded14e30c02af51a8ec04ad2aa6b49f45f40c8e279ec8422182be1c9a\",0,\"calculus_23208\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004359.lean\",\"3224d1f7f48d06604abb6a584c90bd7d25767d9dd74741df5afca8770594f27b\",0,\"number_theory_25178\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000872.json b/manifests/batches/numina/000872.json
index d319ea9465695d0a057a2345e1b8d7cd9894271e..f7623d7a5225d8bc2d3c792772855125ec38f501 100644
--- a/manifests/batches/numina/000872.json
+++ b/manifests/batches/numina/000872.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000872",
   "batch_fingerprint": "d0aa50999f17d27aec79de3f33e0968612fdbda74b58866dc956f6463c7a644d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000872-0000-6e670a241b1b2f7e.parquet",
-      "sha256": "6e670a241b1b2f7e664c82132568ceb9837f77a9104435d10e40208d5660452a",
-      "bytes": 253995,
-      "rows": 37,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:204ad520-ba1a-5dd5-87f6-d8ff5522ec1b",
     "numina:63a3f3f5-12cc-520c-9f94-005e053459b3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004362.lean\",\"e44f95727b87d91eb9b7cb6cf7028641b73037d9df52c0716e743a134f41003e\",0,\"inequalities_575707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004363.lean\",\"9a613c903086f6af826a6f52b8a9a819b02c6f3e80253e67620c95a1f8226fde\",0,\"algebra_47550\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004364.lean\",\"fd0e145028c057e7a98f3636643c94512c4826e1dc00660abd37de85da23943b\",0,\"algebra_608728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253995,
+      "path": "data/train/p37/numina-000872-0000-6e670a241b1b2f7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "6e670a241b1b2f7e664c82132568ceb9837f77a9104435d10e40208d5660452a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000873.json b/manifests/batches/numina/000873.json
index 8e00016712aff91e2e77019ab92d6f97a37e4454..5086a257ac4c61bb101360ecd2c733bf807c0f2e 100644
--- a/manifests/batches/numina/000873.json
+++ b/manifests/batches/numina/000873.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000873",
   "batch_fingerprint": "35971ac485bb50f22327fd8d1776f7132c442dd365ed50c482411a51da596e55",
   "evidence": {
@@ -49,53 +48,54 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2fe3edb5-e17d-5b26-8aea-b919c490721a",
+    "numina:708db7e6-9946-5ea4-8c90-379156d0c30c",
+    "numina:a3f82c75-6aad-5392-aea7-01ffe1034571",
+    "numina:cb3749e9-bb43-5420-b51b-baa8e593440b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004365.lean\",\"00685c803b6d7d5e72921af61745e43ede8f04c142c11da6b6370af745484437\",0,\"number_theory_42854\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004366.lean\",\"2319517f97efe3457a237ff989f80cb6d0caf87485aea261ce803999b68455fc\",0,\"number_theory_608445\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004367.lean\",\"d2727109f4171a4338ae5755eab54b6f7b39f27b98ee4813afca496f4b9f0e34\",0,\"algebra_24912\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004368.lean\",\"4eb3919021c426f90f8252e42ddfae69839b135b4f7f9e51affaab511163ffcd\",0,\"algebra_122742\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000873-0000-b037cb62c0bf8059.parquet",
-      "sha256": "b037cb62c0bf805942d9c73400942e3ef85bf17cd153b133013754c5e616c74e",
       "bytes": 217524,
+      "path": "data/train/p59/numina-000873-0000-b037cb62c0bf8059.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "b037cb62c0bf805942d9c73400942e3ef85bf17cd153b133013754c5e616c74e"
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     {
-      "path": "data/train/numina-000873-0001-1aeabe24ef62aa45.parquet",
-      "sha256": "1aeabe24ef62aa4594d34db24286ef9a64996b17537121031007d5aedcc658f8",
       "bytes": 507000,
+      "path": "data/train/p59/numina-000873-0001-1aeabe24ef62aa45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "1aeabe24ef62aa4594d34db24286ef9a64996b17537121031007d5aedcc658f8"
     },
     {
-      "path": "data/train/numina-000873-0002-7be45773c426aec6.parquet",
-      "sha256": "7be45773c426aec6462f5e6d7b030f8330101ab147fb840fdd4cbd933b2a6a12",
       "bytes": 638080,
+      "path": "data/train/p59/numina-000873-0002-7be45773c426aec6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "7be45773c426aec6462f5e6d7b030f8330101ab147fb840fdd4cbd933b2a6a12"
     },
     {
-      "path": "data/train/numina-000873-0003-bcea7d9620aa6b4c.parquet",
-      "sha256": "bcea7d9620aa6b4c0d405df55e10ec67ddc8218229de223cc8ecb1bb837be04a",
       "bytes": 162185,
+      "path": "data/train/p59/numina-000873-0003-bcea7d9620aa6b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "bcea7d9620aa6b4c0d405df55e10ec67ddc8218229de223cc8ecb1bb837be04a"
     },
     {
-      "path": "data/dev/numina-000873-0000-4e604525f3bf22bf.parquet",
-      "sha256": "4e604525f3bf22bfa2b81dd27ec0718d65ce1c863cf94d0d9f50e5966aed413e",
       "bytes": 36039,
+      "path": "data/dev/p59/numina-000873-0000-4e604525f3bf22bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "06bf72e515ab25a414f48b1c1b2d4e6c450fdc4e"
+      "sha256": "4e604525f3bf22bfa2b81dd27ec0718d65ce1c863cf94d0d9f50e5966aed413e"
     }
-  ],
-  "proof_ids": [
-    "numina:2fe3edb5-e17d-5b26-8aea-b919c490721a",
-    "numina:708db7e6-9946-5ea4-8c90-379156d0c30c",
-    "numina:a3f82c75-6aad-5392-aea7-01ffe1034571",
-    "numina:cb3749e9-bb43-5420-b51b-baa8e593440b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004365.lean\",\"00685c803b6d7d5e72921af61745e43ede8f04c142c11da6b6370af745484437\",0,\"number_theory_42854\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004366.lean\",\"2319517f97efe3457a237ff989f80cb6d0caf87485aea261ce803999b68455fc\",0,\"number_theory_608445\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004367.lean\",\"d2727109f4171a4338ae5755eab54b6f7b39f27b98ee4813afca496f4b9f0e34\",0,\"algebra_24912\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004368.lean\",\"4eb3919021c426f90f8252e42ddfae69839b135b4f7f9e51affaab511163ffcd\",0,\"algebra_122742\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000874.json b/manifests/batches/numina/000874.json
index 810e6a3aa0d04ddb7ccb9496e1e7aef0b588dadc..800aaea61783d0f9349da0089cc48e1781593e24 100644
--- a/manifests/batches/numina/000874.json
+++ b/manifests/batches/numina/000874.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000874",
   "batch_fingerprint": "74cd807027357ce23312681bcaf02d84ce06345cfd258481a484be9f1172119a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000874-0000-222f8fa3e2023448.parquet",
-      "sha256": "222f8fa3e20234482fc66dff40257ce64f23aae1fe59bceca12610ba28822631",
-      "bytes": 118741,
-      "rows": 13,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/train/numina-000874-0001-c915105882a60a1f.parquet",
-      "sha256": "c915105882a60a1f397657df36bef251eb6763dd2a2bea82cf09064d950b6152",
-      "bytes": 549675,
-      "rows": 1,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05d55f6d-3cfc-596d-ad62-4f053cfdacb1",
     "numina:113d6c87-4c16-5ca1-92cb-a81bd6e7ccf9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004372.lean\",\"8126089b86c35f446b71d48c5f3902d24c4671404679681f50e08a6c2e00eb6c\",0,\"algebra_9417\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004373.lean\",\"e70c7cc0cbfbddea0d329c2ceac48d88522b3a00384cd2849c38c53bdf99ba13\",0,\"number_theory_14927\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004374.lean\",\"171ad0a141c213681ff0b0b255cce063c0aea2ceeed1328aea785e03ca9e78f9\",0,\"algebra_608450\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118741,
+      "path": "data/train/pef/numina-000874-0000-222f8fa3e2023448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "222f8fa3e20234482fc66dff40257ce64f23aae1fe59bceca12610ba28822631"
+    },
+    {
+      "bytes": 549675,
+      "path": "data/train/pef/numina-000874-0001-c915105882a60a1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c915105882a60a1f397657df36bef251eb6763dd2a2bea82cf09064d950b6152"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000875.json b/manifests/batches/numina/000875.json
index 44ec3bd781605a5dcdfd6defcdf383907b95b977..0fa5778af9e0004ca4099bd8c22f02eae2a7a33e 100644
--- a/manifests/batches/numina/000875.json
+++ b/manifests/batches/numina/000875.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000875",
   "batch_fingerprint": "34e16f048c0944c1566e532e27b847914edb9215a4760af75a3ad207f377ef59",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000875-0000-8d20da7659903584.parquet",
-      "sha256": "8d20da7659903584369b198853b14c5593b0cf14e6186101a0d7a81208fbfd6d",
-      "bytes": 78787,
-      "rows": 11,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    },
-    {
-      "path": "data/dev/numina-000875-0000-084b59b689bd1c1e.parquet",
-      "sha256": "084b59b689bd1c1e3aa2d359bc85ba9306909252b6d30804e995747b331f8240",
-      "bytes": 38111,
-      "rows": 3,
-      "revision": "a53545e0e428f2bb160d1200aac378e5b2d35510"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bf16405-c17d-5fa4-bbf8-e7463eab3a1d",
     "numina:8b41bd4b-6d71-5ac8-b33d-f2b550d092f0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004377.lean\",\"28da1a77333df0cb5caaf2e8b3f2e22020da6ca94a958eefbc9f995e57c7aaa9\",0,\"number_theory_13385\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004378.lean\",\"b629107f56dbbf0dcb840642af1db6c8c3bb680d557e79dcfcb6a73e7d4ae20d\",0,\"algebra_96704\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004379.lean\",\"389192f302930f56d3e369ad46aa43a6c62859791067fba51fa0efce4817f32d\",0,\"algebra_202281\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78787,
+      "path": "data/train/p48/numina-000875-0000-8d20da7659903584.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8d20da7659903584369b198853b14c5593b0cf14e6186101a0d7a81208fbfd6d"
+    },
+    {
+      "bytes": 38111,
+      "path": "data/dev/p48/numina-000875-0000-084b59b689bd1c1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "084b59b689bd1c1e3aa2d359bc85ba9306909252b6d30804e995747b331f8240"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000876.json b/manifests/batches/numina/000876.json
index d5f5ab7f271a8d1936a10f318fbff58b4714d3d7..b6e030660b80c73a33b6f8d6d68b0d8d57412744 100644
--- a/manifests/batches/numina/000876.json
+++ b/manifests/batches/numina/000876.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000876",
   "batch_fingerprint": "a1904b9d65a448595ea8540c5f5698aae4bdd544f5c17204520ffbd0b5c3ec40",
   "evidence": {
@@ -19,62 +18,63 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1712b204-d919-5196-95e8-e6580fc3ccc5",
+    "numina:18fcf9b6-bb65-5565-aaa6-264aad17665c",
+    "numina:26dcecc4-f0a4-5155-b5f7-675b94459a42",
+    "numina:74a9abb7-d649-5f27-8a97-a00dc97f3888",
+    "numina:beaea8ed-30d8-5c92-980d-2454186ec2e6"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004380.lean\",\"7767b3f69c977acd676d10c34f3538da6983b33f3f40456e55bff7de968dda1f\",0,\"algebra_270364\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004381.lean\",\"33c0f40a50a5cf8af5d86b4737b954619843b6dfca43cbfb28e0035097855370\",0,\"number_theory_604378\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004382.lean\",\"03a4422502d23162a4c08d6c1bb0691a7a61f3cfb4e7f742c14b9b8388920a35\",0,\"algebra_604384\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004383.lean\",\"a8bc8eade2231b29f9e034f69a176afe1a03ded257a12530d4bbd4c17a2e5e84\",0,\"algebra_21738\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004384.lean\",\"90a3b9746ca8f96bd752cf5d17db83c6d1f98094499e2e45d7ab081cc8cc3749\",0,\"algebra_93027\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000876-0000-b0405e73963f689c.parquet",
-      "sha256": "b0405e73963f689c2afe2c39e91fc4cc1ed1e5f88dcdde56743243c92d017dc1",
       "bytes": 654931,
+      "path": "data/train/p5e/numina-000876-0000-b0405e73963f689c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 48,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
+      "sha256": "b0405e73963f689c2afe2c39e91fc4cc1ed1e5f88dcdde56743243c92d017dc1"
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     {
-      "path": "data/train/numina-000876-0001-0696d148042cc56b.parquet",
-      "sha256": "0696d148042cc56b438210e5d83cb94cf4ef0032db1c489bc2a1fb2a8ddc31c6",
       "bytes": 1647321,
+      "path": "data/train/p5e/numina-000876-0001-0696d148042cc56b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
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     {
-      "path": "data/train/numina-000876-0002-6416257bc3e939ae.parquet",
-      "sha256": "6416257bc3e939ae80436eac67e027cf878bdca39ad8f93c2079039be6538251",
       "bytes": 2242784,
+      "path": "data/train/p5e/numina-000876-0002-6416257bc3e939ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
+      "sha256": "6416257bc3e939ae80436eac67e027cf878bdca39ad8f93c2079039be6538251"
     },
     {
-      "path": "data/train/numina-000876-0003-bcaa008aa8c296fb.parquet",
-      "sha256": "bcaa008aa8c296fb267913f98929e5bf0bda8001095656ce8ff1a8bb941f1e3a",
       "bytes": 759512,
+      "path": "data/train/p5e/numina-000876-0003-bcaa008aa8c296fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
+      "sha256": "bcaa008aa8c296fb267913f98929e5bf0bda8001095656ce8ff1a8bb941f1e3a"
     },
     {
-      "path": "data/train/numina-000876-0004-e8455855469135f3.parquet",
-      "sha256": "e8455855469135f3183d0802664c327cdb119ff07e51207179d6055398e094fb",
       "bytes": 593628,
+      "path": "data/train/p5e/numina-000876-0004-e8455855469135f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
+      "sha256": "e8455855469135f3183d0802664c327cdb119ff07e51207179d6055398e094fb"
     },
     {
-      "path": "data/train/numina-000876-0005-983b20989872ab96.parquet",
-      "sha256": "983b20989872ab96a72d0c182a16983af05ed23f2b6e3b2090aaf62216b78308",
       "bytes": 593106,
+      "path": "data/train/p5e/numina-000876-0005-983b20989872ab96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "4e9587b99684741577817b8e521bbeb17248f8c6"
+      "sha256": "983b20989872ab96a72d0c182a16983af05ed23f2b6e3b2090aaf62216b78308"
     }
-  ],
-  "proof_ids": [
-    "numina:1712b204-d919-5196-95e8-e6580fc3ccc5",
-    "numina:18fcf9b6-bb65-5565-aaa6-264aad17665c",
-    "numina:26dcecc4-f0a4-5155-b5f7-675b94459a42",
-    "numina:74a9abb7-d649-5f27-8a97-a00dc97f3888",
-    "numina:beaea8ed-30d8-5c92-980d-2454186ec2e6"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004380.lean\",\"7767b3f69c977acd676d10c34f3538da6983b33f3f40456e55bff7de968dda1f\",0,\"algebra_270364\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004381.lean\",\"33c0f40a50a5cf8af5d86b4737b954619843b6dfca43cbfb28e0035097855370\",0,\"number_theory_604378\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004382.lean\",\"03a4422502d23162a4c08d6c1bb0691a7a61f3cfb4e7f742c14b9b8388920a35\",0,\"algebra_604384\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004383.lean\",\"a8bc8eade2231b29f9e034f69a176afe1a03ded257a12530d4bbd4c17a2e5e84\",0,\"algebra_21738\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004384.lean\",\"90a3b9746ca8f96bd752cf5d17db83c6d1f98094499e2e45d7ab081cc8cc3749\",0,\"algebra_93027\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000877.json b/manifests/batches/numina/000877.json
index c00765af79f25d33ce2f7f3d5b13d08cc25bb70a..d5ed35ad46b42937deb198bdb267cce7f85aefab 100644
--- a/manifests/batches/numina/000877.json
+++ b/manifests/batches/numina/000877.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000877",
   "batch_fingerprint": "56fa0532e9850473c273d91e2637fd2ff0ad32a979f987ba7389299a714b62e3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000877-0000-8ac322175594fcb5.parquet",
-      "sha256": "8ac322175594fcb5548a579c562bd9990ce1e7a97e7e2b00cf85b1e2d99b991e",
-      "bytes": 182835,
-      "rows": 20,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26741d23-193e-59bf-a84f-53db441ea0e9",
     "numina:5351e245-e9aa-58ee-8c9e-d58da6c2e74b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004387.lean\",\"08436f71d7579c3bc77743da546e101c9049715c6fda116b8665239fad76038f\",0,\"algebra_20775\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004388.lean\",\"117f36f5bc577dac2228037f363c9e607ab9259c8a3e45402a461b018ed540b1\",0,\"algebra_21740\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004389.lean\",\"e8702de1d53f9a315a659c58767faf59edc0f1c706f25e725e564ce4ab225f20\",0,\"algebra_1194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182835,
+      "path": "data/train/pde/numina-000877-0000-8ac322175594fcb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8ac322175594fcb5548a579c562bd9990ce1e7a97e7e2b00cf85b1e2d99b991e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000878.json b/manifests/batches/numina/000878.json
index 06a70453c6c64488204e497e7fc88923791b45ae..3067e1efe0457a038bb6ab4dd7799afdac58fdb1 100644
--- a/manifests/batches/numina/000878.json
+++ b/manifests/batches/numina/000878.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000878",
   "batch_fingerprint": "2ee4aeab757d1fbe975c1fc9c5d3cdaa57f04a2c668c29d37fc3b5fe86487612",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000878-0000-b71ed548f1ff7b43.parquet",
-      "sha256": "b71ed548f1ff7b43ed19253b396a1b5bc62c46cbc7c23d1db777513f0d057e2c",
-      "bytes": 170129,
-      "rows": 26,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/numina-000878-0000-6be749d7cf7c672d.parquet",
-      "sha256": "6be749d7cf7c672de0a2cd6c058b8a9c66e753eb9121f31735d336b9660ac5d4",
-      "bytes": 26811,
-      "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:18b36cf5-8371-50cd-8d59-9fea28520ef6",
     "numina:1e7043e2-fc10-559a-be71-370009f83ac3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004392.lean\",\"fec220e65530e227fa19e2ceb26ddfc8d42446c12f1e7e6f0e2ea897bf5b1aca\",0,\"algebra_15619\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004393.lean\",\"173af824be7c4762b8a57120e00da9fd296bb09f2a604de0adb92ea097587bd2\",0,\"algebra_94497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004394.lean\",\"740a19d2452da6b3da73f00f0ed263245686eb34837f09b419de7519a901a6e0\",0,\"number_theory_69875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170129,
+      "path": "data/train/pc5/numina-000878-0000-b71ed548f1ff7b43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b71ed548f1ff7b43ed19253b396a1b5bc62c46cbc7c23d1db777513f0d057e2c"
+    },
+    {
+      "bytes": 26811,
+      "path": "data/internal_test/pc5/numina-000878-0000-6be749d7cf7c672d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6be749d7cf7c672de0a2cd6c058b8a9c66e753eb9121f31735d336b9660ac5d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000879.json b/manifests/batches/numina/000879.json
index 10ba36a3583646ab5af62293e87c300121898727..001811904e43342dd7e37a428d19ce44c6e8a992 100644
--- a/manifests/batches/numina/000879.json
+++ b/manifests/batches/numina/000879.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000879",
   "batch_fingerprint": "a43d3a2c24429ddf5b45664d19d0b9302352033bd576f0dbb6fa0c013967e571",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000879-0000-a22c438b25606ab1.parquet",
-      "sha256": "a22c438b25606ab13f118a62b4bcb565f01ee0c5200d0878600e540255ad1180",
-      "bytes": 302621,
-      "rows": 47,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bb6d05d-c4a8-5326-b1fe-939121916fe9",
     "numina:14da2adf-2035-5131-a3e5-58d937ad518b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004397.lean\",\"4a3cf88bee1ef02eadf2f5e5eac6691f75a0af2330913f5f2e17d25edc5e1d15\",0,\"number_theory_4480\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004398.lean\",\"b48362d1dc1765d11c5fd0e8709a5386219db0e2d47e358bda6d8c06018c2e2c\",0,\"algebra_94502\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004399.lean\",\"77a974edb4491486dc9a6e75544ee3312084fdee09e1b33e4e6d342144ef1f31\",0,\"number_theory_4484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302621,
+      "path": "data/train/p48/numina-000879-0000-a22c438b25606ab1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "a22c438b25606ab13f118a62b4bcb565f01ee0c5200d0878600e540255ad1180"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000880.json b/manifests/batches/numina/000880.json
index 76f2a542049d41292813595779f62b062061403b..7bf41c538a07b56d7731558ac3bf54abb82a66d1 100644
--- a/manifests/batches/numina/000880.json
+++ b/manifests/batches/numina/000880.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000880",
   "batch_fingerprint": "8746cd95b7417032a1150e3aa0dba6f6ed07ed1bcd676961eae7322565c74692",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000880-0000-331773cd6dc16506.parquet",
-      "sha256": "331773cd6dc16506e404bf360581c89447842c8c7a65671583ea588b1ae5383e",
-      "bytes": 70907,
-      "rows": 8,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/dev/numina-000880-0000-ac74db64a82ddeb2.parquet",
-      "sha256": "ac74db64a82ddeb2934d90b0b089e737f7c6c0b79a63dcbc0df1753081044a2e",
-      "bytes": 26948,
-      "rows": 2,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/numina-000880-0000-5ea55c04a9d278c7.parquet",
-      "sha256": "5ea55c04a9d278c70e5839dbd6f6b18a3a0b0ccc53a915bc310a4d1ae666d1ea",
-      "bytes": 356264,
-      "rows": 10,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:571a4f53-b575-533a-90dc-107d8525685b",
     "numina:85852c44-f5ec-5be6-8eaf-40d9da883448",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004402.lean\",\"b9c68718e04824fc9993712f859eaee12840642045e4d3ac2cb1c14cd1348a2e\",0,\"algebra_15627\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004403.lean\",\"490f8f98b27a32131144c6af706825e64b0ed3c249af91d6762a53e1b9ae56dd\",0,\"algebra_21648\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004404.lean\",\"b2d551420a2d8eedca55c6ab0b1c263b7fa11fc3329d1c581ed5def1caa5138a\",0,\"algebra_93068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70907,
+      "path": "data/train/p77/numina-000880-0000-331773cd6dc16506.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "331773cd6dc16506e404bf360581c89447842c8c7a65671583ea588b1ae5383e"
+    },
+    {
+      "bytes": 26948,
+      "path": "data/dev/p77/numina-000880-0000-ac74db64a82ddeb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ac74db64a82ddeb2934d90b0b089e737f7c6c0b79a63dcbc0df1753081044a2e"
+    },
+    {
+      "bytes": 356264,
+      "path": "data/internal_test/p77/numina-000880-0000-5ea55c04a9d278c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5ea55c04a9d278c70e5839dbd6f6b18a3a0b0ccc53a915bc310a4d1ae666d1ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000881.json b/manifests/batches/numina/000881.json
index 05fb09854ab0b92fc92752f3167482c7f9e5e20e..7a5290757eef3783a6a94cf6b4fe818e4403e1ee 100644
--- a/manifests/batches/numina/000881.json
+++ b/manifests/batches/numina/000881.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000881",
   "batch_fingerprint": "f17ba2a52d7b3ec5651afe313cc65da5d3f4f01dec5debba50265d28c35ac08f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000881-0000-f129722a9a4dcae5.parquet",
-      "sha256": "f129722a9a4dcae5781929dc250a26b7a5d42281267003f0d8506e09d945a7ae",
-      "bytes": 225337,
-      "rows": 25,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16f848fe-9d1f-53de-899c-daa87518c04a",
     "numina:2351c5bf-c093-5c15-8965-7c91561fa3db",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004407.lean\",\"0dcc2b04c16603637e266cc72ca8c7ed373af078311729c65f7b9028a992753e\",0,\"algebra_15630\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004408.lean\",\"9398108a453ad38d5054ef5cd9232e96923278f044140a2643298a3e5af150a3\",0,\"algebra_12858\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004409.lean\",\"1832e85810ca14ed8ce4b2eef835762750e5249479706b46a8e492ae3d29c4b0\",0,\"algebra_607974\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225337,
+      "path": "data/train/pfd/numina-000881-0000-f129722a9a4dcae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f129722a9a4dcae5781929dc250a26b7a5d42281267003f0d8506e09d945a7ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000882.json b/manifests/batches/numina/000882.json
index 1997cd57fc486cf25f71a048df25d96b28872e3d..19835b8af88578f1712454a0e8caef8de9ee46d9 100644
--- a/manifests/batches/numina/000882.json
+++ b/manifests/batches/numina/000882.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000882",
   "batch_fingerprint": "05484976c33551f29c772539c80ee522009ff3fa7453bca6442b7bf3dd53870d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000882-0000-2b682ef3b3fce52d.parquet",
-      "sha256": "2b682ef3b3fce52d0e42104c6993452ec2c4b697c84f6cd354e0ebc7a4ba7f54",
-      "bytes": 505380,
-      "rows": 24,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39d5b650-3735-5e64-9029-c2d6a4260f5e",
     "numina:4a280a59-fa89-584d-becd-72a064f8f9c6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004412.lean\",\"2acf8365be109c406dacafc3036ed3d327db6a65c9b9d5fdf2571508a5775088\",0,\"algebra_10306\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004413.lean\",\"176e0fe5d5334cfccba11a48b282d41cbef8e2bb1fc3f0112eaf08d8b2535941\",0,\"algebra_21631\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004414.lean\",\"6e40a46c6f0804387458f71fef2100059b5a5025d3295c2a0de9bc76301f7908\",0,\"algebra_10308\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 505380,
+      "path": "data/train/p98/numina-000882-0000-2b682ef3b3fce52d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2b682ef3b3fce52d0e42104c6993452ec2c4b697c84f6cd354e0ebc7a4ba7f54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000883.json b/manifests/batches/numina/000883.json
index 86c6bc6319c34adbf1beae47dd861b90bd7cd166..9a0aa6e0295d20f815ce7d488b02db5a12b2aa35 100644
--- a/manifests/batches/numina/000883.json
+++ b/manifests/batches/numina/000883.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000883",
   "batch_fingerprint": "398214f0ada5f13c2f0d14bf16ab307e1209d419ca0cdfb3c6a32c568b4a52ef",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000883-0000-606c6ab80549eaab.parquet",
-      "sha256": "606c6ab80549eaab872c26a5a32203f307b904170bbb355dd6b1d2c1216cf9c1",
-      "bytes": 185103,
-      "rows": 16,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    },
-    {
-      "path": "data/internal_test/numina-000883-0000-ddb39e3f5a35a48d.parquet",
-      "sha256": "ddb39e3f5a35a48d5d8e619b5c80dcab867ed04449c976ab2b3f672259abecea",
-      "bytes": 23059,
-      "rows": 1,
-      "revision": "2724ca87965eb93b92ebc27360ea585252124c49"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a1db50a-2b22-5907-9299-3aca70b3e6aa",
     "numina:afd1b0b9-6219-53af-b5b3-0edd3349095d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004417.lean\",\"45e84e5e6975b12f30205906bf6c04c4822279fa3ee69368eec31dc6476dc99f\",0,\"algebra_19434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004418.lean\",\"7544b4c5c00be46a96475ffc0659dab1a562988216faf05dcf35c721066403f1\",0,\"number_theory_323859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004419.lean\",\"9e9e75f92b5b4fa1025ce1486bb4486b591e0164cf48748f98ce649c414c3996\",0,\"number_theory_23249\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185103,
+      "path": "data/train/p22/numina-000883-0000-606c6ab80549eaab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "606c6ab80549eaab872c26a5a32203f307b904170bbb355dd6b1d2c1216cf9c1"
+    },
+    {
+      "bytes": 23059,
+      "path": "data/internal_test/p22/numina-000883-0000-ddb39e3f5a35a48d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ddb39e3f5a35a48d5d8e619b5c80dcab867ed04449c976ab2b3f672259abecea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000884.json b/manifests/batches/numina/000884.json
index 13a99548eaa8b09ea438f1250684202170b7e7d1..ae2bce949ec59f7f0a7b32ddd849ff2ecb2ea7d1 100644
--- a/manifests/batches/numina/000884.json
+++ b/manifests/batches/numina/000884.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000884",
   "batch_fingerprint": "68172b0d683cbba86571e0236998999ab72bea508457239537e03529b0e57c6c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000884-0000-be2155999eec1c67.parquet",
-      "sha256": "be2155999eec1c6735703e1603fe157f67fbd654f66450a464b3aa98c459a193",
-      "bytes": 151860,
-      "rows": 25,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24c03431-3c82-5e7f-8263-66abf8fc7ea5",
     "numina:651ba6a0-aeda-5043-8b9f-649149fe54ad",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004422.lean\",\"49c81ebc68cd75e0fd14c4ba767db70aad45512e61b83f3228be628924578817\",0,\"algebra_1199\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004423.lean\",\"ddf325dea9daf76c8538a036a9bd6d8ddc6bfd6373a2be2cec0e459e38c89713\",0,\"number_theory_4589_1\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004424.lean\",\"639d6e22937b8041b278951d35e8c3c63e0e9495babd44c5c4989cfb9cc80aee\",0,\"number_theory_15730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151860,
+      "path": "data/train/p6c/numina-000884-0000-be2155999eec1c67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "be2155999eec1c6735703e1603fe157f67fbd654f66450a464b3aa98c459a193"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000885.json b/manifests/batches/numina/000885.json
index 215ccb0f4d29a0e33ec1d83932709d24053e7aa8..9c5dc65740b4092815e88abebba51c964bb4eb94 100644
--- a/manifests/batches/numina/000885.json
+++ b/manifests/batches/numina/000885.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000885",
   "batch_fingerprint": "9fee7bd7025b86d4cadb1affec5810d2f9ef7516518284377e1f2256bb3cf832",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000885-0000-04e580979b4f5c24.parquet",
-      "sha256": "04e580979b4f5c24c8f93cc7581ce4e25f9fa478291ccc49a112080587088135",
-      "bytes": 595317,
-      "rows": 35,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/train/numina-000885-0001-cf1a85e1dcd9a855.parquet",
-      "sha256": "cf1a85e1dcd9a85575717d27b0ae24bed885fb18f97cda7123b68c73383595bc",
-      "bytes": 374923,
-      "rows": 42,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:042fa966-2bc4-5d70-9871-79b67151d95f",
     "numina:2a3e5b85-00ff-5319-8c03-5d693faca158",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004427.lean\",\"55d51917854c15c27cebbb7281e8a77e06b90cc9d6779a421dba8cc83f96f4d1\",0,\"algebra_93329\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004428.lean\",\"689a58008c1b28132c60078f48ddb90f4b6b372b9ebfaff03aa2031f0cc93c64\",0,\"algebra_10504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004429.lean\",\"f17e82f6311dcbf593322effb3ac92c7bc4e0d2eb915b2af11ae53554ee62336\",0,\"algebra_16036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595317,
+      "path": "data/train/p4a/numina-000885-0000-04e580979b4f5c24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "04e580979b4f5c24c8f93cc7581ce4e25f9fa478291ccc49a112080587088135"
+    },
+    {
+      "bytes": 374923,
+      "path": "data/train/p4a/numina-000885-0001-cf1a85e1dcd9a855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "cf1a85e1dcd9a85575717d27b0ae24bed885fb18f97cda7123b68c73383595bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000886.json b/manifests/batches/numina/000886.json
index 8dd94a553af5b3745cf9acc3c8661a4e152753d3..6eb382d5b70e73c467dd6ed958a1bfd6ed676f6c 100644
--- a/manifests/batches/numina/000886.json
+++ b/manifests/batches/numina/000886.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000886",
   "batch_fingerprint": "c224df6d68c4b3fe2c7ad5680be3b9e768cb8e2c2fac878e5e28427bc8f1905b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000886-0000-e1f263ca383c069f.parquet",
-      "sha256": "e1f263ca383c069f90e4adae66ff0bcdd0a4c5dc865922933ec4103f558636d1",
-      "bytes": 109953,
-      "rows": 11,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/numina-000886-0000-11d0152243be5b93.parquet",
-      "sha256": "11d0152243be5b93e720a954badb3a0aa7edee79073a3309d22e8cbd05fb1c90",
-      "bytes": 64466,
-      "rows": 3,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11231c9b-1998-564e-a1f6-77d9889ea574",
     "numina:223ec94b-a5c7-5347-b74f-7bf0f8851add",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004432.lean\",\"5ea6a1881228335cace55195f42af5865205627f93c385910023deb71c26da6c\",0,\"number_theory_16038\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004433.lean\",\"4dba8a5ebd5b9c3309ef960d4e8ddd656030a66367131aea61de4423e08240e9\",0,\"other_25051\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004434.lean\",\"df053c1136c8bb968ecf5dd53f8258069e1aba6ca15074440870b260a04d19d1\",0,\"algebra_288847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109953,
+      "path": "data/train/pbd/numina-000886-0000-e1f263ca383c069f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e1f263ca383c069f90e4adae66ff0bcdd0a4c5dc865922933ec4103f558636d1"
+    },
+    {
+      "bytes": 64466,
+      "path": "data/dev/pbd/numina-000886-0000-11d0152243be5b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "11d0152243be5b93e720a954badb3a0aa7edee79073a3309d22e8cbd05fb1c90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000887.json b/manifests/batches/numina/000887.json
index 5551182880993533b8df099230a2ee9130a30fee..bc415ba2bf0f2dc3ac3aae26736596dd0a1e3165 100644
--- a/manifests/batches/numina/000887.json
+++ b/manifests/batches/numina/000887.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000887",
   "batch_fingerprint": "dbe91841c9282894ee37fb947c39ebf747cfe06487387076c527cf2b92441679",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000887-0000-2182c654fe218778.parquet",
-      "sha256": "2182c654fe2187789c61438a1f5cfff00656c2f04c65ffad74a1a1372a0c3ba4",
-      "bytes": 665891,
-      "rows": 44,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/train/numina-000887-0001-1188996e352813c8.parquet",
-      "sha256": "1188996e352813c8f214667f9563f897ab13c9590b0434a6dd69e92a1d8847f8",
-      "bytes": 372849,
-      "rows": 18,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/numina-000887-0000-2441bd7deebe9dde.parquet",
-      "sha256": "2441bd7deebe9dde67f46b3bc8c4d6b8d8e6a36e029d97eac1ba962fd3c7f8bd",
-      "bytes": 38860,
-      "rows": 3,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2fc6a122-9b2a-5c1a-b1f2-f8138c33c7f6",
     "numina:628b50c8-22ef-5eef-9e13-607383b72686",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004437.lean\",\"681b8c797edad53c162d88cd2c8638afbecf8d276821289194712d926d8bde5f\",0,\"calculus_610864\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004438.lean\",\"84fe97d5c70f4a7064077f50b03867ae0b83eb42e016eb40ab0bebcbb55f4b85\",0,\"algebra_21321\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004439.lean\",\"f7a2ed0b2efc4cdb25632c8855f6d7ebf6fedb9830159040f184716053537a82\",0,\"algebra_95691\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 665891,
+      "path": "data/train/p7c/numina-000887-0000-2182c654fe218778.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "2182c654fe2187789c61438a1f5cfff00656c2f04c65ffad74a1a1372a0c3ba4"
+    },
+    {
+      "bytes": 372849,
+      "path": "data/train/p7c/numina-000887-0001-1188996e352813c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1188996e352813c8f214667f9563f897ab13c9590b0434a6dd69e92a1d8847f8"
+    },
+    {
+      "bytes": 38860,
+      "path": "data/dev/p7c/numina-000887-0000-2441bd7deebe9dde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2441bd7deebe9dde67f46b3bc8c4d6b8d8e6a36e029d97eac1ba962fd3c7f8bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000888.json b/manifests/batches/numina/000888.json
index 4e0fecc4f43db820f78de5961381d2f813697608..31482111c2c4c8663615814c845d92519541fb4f 100644
--- a/manifests/batches/numina/000888.json
+++ b/manifests/batches/numina/000888.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000888",
   "batch_fingerprint": "e7c23eafb79d955902c63baa9d77db4af190bef8b34dd24adfe8c02e42994a19",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000888-0000-b6de8dabe6b5455e.parquet",
-      "sha256": "b6de8dabe6b5455e56da3cbae0a97c2e545754a57e19a85295d076c00a9456e8",
-      "bytes": 112307,
-      "rows": 18,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/dev/numina-000888-0000-6e837195b2b048da.parquet",
-      "sha256": "6e837195b2b048da0dc12908ae173b49f0eafe6e695ac5200a6e5fc715382d2a",
-      "bytes": 56969,
-      "rows": 5,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    },
-    {
-      "path": "data/internal_test/numina-000888-0000-e9832cd34cbc2ae7.parquet",
-      "sha256": "e9832cd34cbc2ae7f9d7492387947ee9e52b2960c9d2bd12a8837245a8d6bbc9",
-      "bytes": 195386,
-      "rows": 5,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a23a011-53d2-5c67-9ccf-207c60633909",
     "numina:74d1dc10-e86d-5008-a8ec-94c4b0939cd4",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004444.lean\",\"36a78c2d3cc1241cc3f3ec95a9b48fdcbec3f70726310c82f453524ada59d7be\",0,\"algebra_95384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112307,
+      "path": "data/train/p30/numina-000888-0000-b6de8dabe6b5455e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b6de8dabe6b5455e56da3cbae0a97c2e545754a57e19a85295d076c00a9456e8"
+    },
+    {
+      "bytes": 56969,
+      "path": "data/dev/p30/numina-000888-0000-6e837195b2b048da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6e837195b2b048da0dc12908ae173b49f0eafe6e695ac5200a6e5fc715382d2a"
+    },
+    {
+      "bytes": 195386,
+      "path": "data/internal_test/p30/numina-000888-0000-e9832cd34cbc2ae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e9832cd34cbc2ae7f9d7492387947ee9e52b2960c9d2bd12a8837245a8d6bbc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000889.json b/manifests/batches/numina/000889.json
index 3ce18307dbdd2b19de5d0c453d500c4c42984a4e..6dfb23b307711ff2c2783c746b5ec8ef05f15038 100644
--- a/manifests/batches/numina/000889.json
+++ b/manifests/batches/numina/000889.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000889",
   "batch_fingerprint": "84551c46f3ebff05c8e0ca1640705848e3132fd56253008f784e1fac04f1a7a7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000889-0000-990b8e49df5ac323.parquet",
-      "sha256": "990b8e49df5ac3234ea98788c6f90bbf202da573db330370bf26024d89d0f12f",
-      "bytes": 98967,
-      "rows": 32,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:332d666d-4fe0-559c-b310-d05ef88def97",
     "numina:55d03933-c600-5008-8bf5-236bd6f02582",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004447.lean\",\"0101d527d0ea50bf7f26b25358b95d452fe67f99ae0e15ae313226be70bff02c\",0,\"number_theory_4783\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004448.lean\",\"f8da58379d57ac6ea618efe6d2ba071e5827d470c5a272cbdbfad852b9d362af\",0,\"number_theory_189590\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004449.lean\",\"f191a8a7267e043cec0f83a870e8bfbc15007bc68913b53a9a50a70bee22ced9\",0,\"algebra_9133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98967,
+      "path": "data/train/p9f/numina-000889-0000-990b8e49df5ac323.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "990b8e49df5ac3234ea98788c6f90bbf202da573db330370bf26024d89d0f12f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000890.json b/manifests/batches/numina/000890.json
index 75180b7c6b1840178c7205c88e65deee837a4dff..21a673cf85cf120d9b3733e4a9df06a00f381003 100644
--- a/manifests/batches/numina/000890.json
+++ b/manifests/batches/numina/000890.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000890",
   "batch_fingerprint": "97df7e6b3e712a5355ed0f31770f0d61dac30d45eaf9cfab4a5c63f0c250453d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000890-0000-7d9e9bdc760703b8.parquet",
-      "sha256": "7d9e9bdc760703b8ecf5e75a26a54ca7989797564982de58b85dfa83f44088d1",
-      "bytes": 163982,
-      "rows": 27,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08614389-a4d3-50b6-9644-83deb517e635",
     "numina:44ba9cd0-257e-5975-880d-89794c26320f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004452.lean\",\"aa3084d77d4716e4fd667c1ce7df21a3c56cfab2e898d74b24cf56ab3be0acac\",0,\"algebra_9135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004453.lean\",\"ca083bd190a1e71942adfc49aa43222fcc83eaff7fbf3ee0aa6231f2a1f11297\",0,\"algebra_12558\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004454.lean\",\"fea2d373b489d185d4955862595bdd29d527e034d65cadb4cff6bbecb9883e42\",0,\"algebra_9137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163982,
+      "path": "data/train/paa/numina-000890-0000-7d9e9bdc760703b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "7d9e9bdc760703b8ecf5e75a26a54ca7989797564982de58b85dfa83f44088d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000891.json b/manifests/batches/numina/000891.json
index 93e0a99c3c42bdfc423bf75b6d39383697067b06..12bf601d9d080c18077a0062ac884f5dbc962d3d 100644
--- a/manifests/batches/numina/000891.json
+++ b/manifests/batches/numina/000891.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000891",
   "batch_fingerprint": "a1d9437308051a607cdd5abe5c4e1390ca2c41f87cac688165b771369a55093d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000891-0000-c7eaf6e1bfa29180.parquet",
-      "sha256": "c7eaf6e1bfa2918052cea21cf13f07be79cde590d6efc1de31e9817f1647036d",
-      "bytes": 432871,
-      "rows": 40,
-      "revision": "af86e21b60c160a59e94c440a8a9eafd00a59b94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f3a18aa-ccb0-52ea-8ffc-6ac9f1864bfd",
     "numina:1b8ff442-25f0-5576-829c-f4c2538ff2cd",
@@ -40,5 +31,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 432871,
+      "path": "data/train/p79/numina-000891-0000-c7eaf6e1bfa29180.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "c7eaf6e1bfa2918052cea21cf13f07be79cde590d6efc1de31e9817f1647036d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000892.json b/manifests/batches/numina/000892.json
index ec2d71443a9ba84895f5cdb06c2c914052db1378..eb7c5d6ff919ab97bb6ff56513527f6754a6b8ae 100644
--- a/manifests/batches/numina/000892.json
+++ b/manifests/batches/numina/000892.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000892",
   "batch_fingerprint": "837bf9fa56eff0f5aacc7b0ef85940862f1398e398b7722f48e113b0a294e7b3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000892-0000-4135505b98cdb5b4.parquet",
-      "sha256": "4135505b98cdb5b4144e2baddafb05fe7e39d38566d4f507172e60e507a52b27",
-      "bytes": 764997,
-      "rows": 28,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/train/numina-000892-0001-f9a72bd1406de82e.parquet",
-      "sha256": "f9a72bd1406de82ee8a4aa9884ef74bf45d874c529cda5b5c59c0ec0b366c897",
-      "bytes": 750862,
-      "rows": 21,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    },
-    {
-      "path": "data/dev/numina-000892-0000-ae2fcabdaa5187d3.parquet",
-      "sha256": "ae2fcabdaa5187d3acf6eeede55169e12a7d36c872a79d22a59672ed22a1f0f5",
-      "bytes": 260288,
-      "rows": 7,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47b1b03f-b470-5174-bd3b-ca0b19dd717e",
     "numina:5c0df509-e8ef-513d-b375-6c23574e0775",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004464.lean\",\"6483d3a111e1f7d174bc29ab36075545e5c4e64b66dd7169fc6fe096169f23d5\",0,\"algebra_9141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 764997,
+      "path": "data/train/p5b/numina-000892-0000-4135505b98cdb5b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4135505b98cdb5b4144e2baddafb05fe7e39d38566d4f507172e60e507a52b27"
+    },
+    {
+      "bytes": 750862,
+      "path": "data/train/p5b/numina-000892-0001-f9a72bd1406de82e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f9a72bd1406de82ee8a4aa9884ef74bf45d874c529cda5b5c59c0ec0b366c897"
+    },
+    {
+      "bytes": 260288,
+      "path": "data/dev/p5b/numina-000892-0000-ae2fcabdaa5187d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ae2fcabdaa5187d3acf6eeede55169e12a7d36c872a79d22a59672ed22a1f0f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000893.json b/manifests/batches/numina/000893.json
index e0b26a1d3bef8924560ab97b43b61bb3272b9d7b..b7f6a0719a50bc395f03d8830293d6713ab27b85 100644
--- a/manifests/batches/numina/000893.json
+++ b/manifests/batches/numina/000893.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000893",
   "batch_fingerprint": "5a2669b56c3916da05d2ab260600b3a51a3accd191b9e2cbdb5fb12709c98fbe",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000893-0000-3d9ce3d0fe84da9c.parquet",
-      "sha256": "3d9ce3d0fe84da9cce6de96fba587efbdb9bffd3eb6ad76df29d23448d3ba8c8",
-      "bytes": 135831,
-      "rows": 15,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06c49753-805c-56d8-8d25-a0e91b8e9a86",
     "numina:1f31e1b9-79b8-5076-9cb5-ceb79ebc4259",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004466.lean\",\"778928955cf3ce55f5da0f571d319dab34d35054f7eb2f07e2aedef166dd38b8\",0,\"inequalities_604152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004467.lean\",\"e73ecf6eeb599c9f18828369c135933b6e3205b3db102ff533b8c2e2230174f1\",0,\"algebra_14014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004469.lean\",\"8cf9e35cea612c599e4566e5c1e2c5e181ac0ab10d87fab51129208e1c44ce81\",0,\"number_theory_12578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135831,
+      "path": "data/train/p8c/numina-000893-0000-3d9ce3d0fe84da9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3d9ce3d0fe84da9cce6de96fba587efbdb9bffd3eb6ad76df29d23448d3ba8c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000894.json b/manifests/batches/numina/000894.json
index dac15582349c2d6d24aee66ecc2e74bd0c87aec0..d2aa9868a7ceae06144390d5c69d80485848669b 100644
--- a/manifests/batches/numina/000894.json
+++ b/manifests/batches/numina/000894.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000894",
   "batch_fingerprint": "dfc5d6635245a2d27c11c4444f854ac4fb7a3c6cd0d8a5f3ec8e310bad0f17a8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000894-0000-cfcd2746c367673a.parquet",
-      "sha256": "cfcd2746c367673aef653368d465d19df03739a96d190b853c9e04beaa2be65e",
-      "bytes": 259887,
-      "rows": 34,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6908990e-494a-53c3-860a-659bf4a9ade1",
     "numina:8d3365dc-d6d9-5d3f-baff-47794e744750",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004472.lean\",\"949272ba7ca502792e6f66eba17734fa03c60961471e202e8bbe8d8efb9064d4\",0,\"algebra_12580\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004473.lean\",\"d4e203deb4848e15cae290399c6aa979821f4313a108a674ecd2df68adebcd15\",0,\"algebra_109618\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004474.lean\",\"79632644ac7157158b63cdb28d2d0390964c2f74391c3ff9b2f978c9e80713e4\",0,\"number_theory_4786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259887,
+      "path": "data/train/p6c/numina-000894-0000-cfcd2746c367673a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "cfcd2746c367673aef653368d465d19df03739a96d190b853c9e04beaa2be65e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000895.json b/manifests/batches/numina/000895.json
index f25d32afe9ce1ff0d3df95bfaefabe955a2a65c1..a21e838813b9494a5ab865339abe38f1f61e7568 100644
--- a/manifests/batches/numina/000895.json
+++ b/manifests/batches/numina/000895.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000895",
   "batch_fingerprint": "596dc7c836e161a03ca4ed32d9bec8464667c8230c2c1e31c6173cb832f7b348",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000895-0000-ae525941cef3a8f7.parquet",
-      "sha256": "ae525941cef3a8f7c37ce27c3a637cb15589387681c33e0245cd6cb9300c7fa2",
-      "bytes": 151832,
-      "rows": 25,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/numina-000895-0000-5f9fc6f2df68aabd.parquet",
-      "sha256": "5f9fc6f2df68aabd1d268d0102b0fd0027f4359e343762b73ba9ba63d732eb1e",
-      "bytes": 28808,
-      "rows": 2,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a344db4-59b9-5fb8-aa56-eabaf1ca89c7",
     "numina:79f98328-6313-53b0-ac32-9c3a3e320303",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004477.lean\",\"422162850e2f521f061a3bdc18b76553ad8d633a3ade1f7f31b96be7628c5b83\",0,\"calculus_16339\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004478.lean\",\"f8ddc893842145452000cd3edb32ed1ba0b6cb98527bab0040d8b1f856b5950c\",0,\"number_theory_611549\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004479.lean\",\"7e3397e50b33cc571c8550cd9bfba6ee68a3c306e4a931e27f055a9c65ab0795\",0,\"algebra_10662\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151832,
+      "path": "data/train/p2c/numina-000895-0000-ae525941cef3a8f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ae525941cef3a8f7c37ce27c3a637cb15589387681c33e0245cd6cb9300c7fa2"
+    },
+    {
+      "bytes": 28808,
+      "path": "data/internal_test/p2c/numina-000895-0000-5f9fc6f2df68aabd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5f9fc6f2df68aabd1d268d0102b0fd0027f4359e343762b73ba9ba63d732eb1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000896.json b/manifests/batches/numina/000896.json
index 3767bca965ea37714f97a78ddfbd403212c6ee33..fe64f17a08937d16844330a1fda911da193a9fbf 100644
--- a/manifests/batches/numina/000896.json
+++ b/manifests/batches/numina/000896.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000896",
   "batch_fingerprint": "a5b6dd41c18915d8a996977550e48b12f7c8e3a5b97c84bf7848fe2d4e9830a3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000896-0000-702ae8b1e4d5dadc.parquet",
-      "sha256": "702ae8b1e4d5dadc242e4ce33a7dbc83791f907af733fdd5f56f0092810adf43",
-      "bytes": 407750,
-      "rows": 16,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/numina-000896-0000-fa7235e6f2378406.parquet",
-      "sha256": "fa7235e6f2378406117b5b4a44bfede6b2059949de6a60c2236ac8d0b694c91a",
-      "bytes": 178936,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/internal_test/numina-000896-0000-28d1ca3dae85e94d.parquet",
-      "sha256": "28d1ca3dae85e94d108e6022229e7129078aac7d44e445c4e622e6afb987bd29",
-      "bytes": 337868,
-      "rows": 19,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12b77ca2-6a2d-54aa-95df-088fdff6fb4c",
     "numina:29ff9e60-b91b-55e4-823d-a94c453fbd7a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004482.lean\",\"0b092bba6e7f3c63f87b86309580d888c57b074183b136a7debe8969cb3d54be\",0,\"inequalities_606227\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004483.lean\",\"b25b82e5c855fce73bc7aa31a69b32305dd7ba6b7efb97020a5b1358b87569f8\",0,\"number_theory_608524\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004484.lean\",\"e443b53cd8859a7a28989ae43bd796c7dd3da8c7e6f23e7b5da18d9319f6d110\",0,\"inequalities_173292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407750,
+      "path": "data/train/p26/numina-000896-0000-702ae8b1e4d5dadc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "702ae8b1e4d5dadc242e4ce33a7dbc83791f907af733fdd5f56f0092810adf43"
+    },
+    {
+      "bytes": 178936,
+      "path": "data/dev/p26/numina-000896-0000-fa7235e6f2378406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "fa7235e6f2378406117b5b4a44bfede6b2059949de6a60c2236ac8d0b694c91a"
+    },
+    {
+      "bytes": 337868,
+      "path": "data/internal_test/p26/numina-000896-0000-28d1ca3dae85e94d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "28d1ca3dae85e94d108e6022229e7129078aac7d44e445c4e622e6afb987bd29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000897.json b/manifests/batches/numina/000897.json
index b3340b0f8e098c1929a5205a3004d60d89bbf0fa..49284e8d9e0b5a84d1856776e7561cb351ad2a76 100644
--- a/manifests/batches/numina/000897.json
+++ b/manifests/batches/numina/000897.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000897",
   "batch_fingerprint": "1ff3ef77f763ffc98b7da40a4f691c8b777261f5cc03b0834ad46ce6f7cacf3b",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2111bd9c-0b54-5d5f-8044-a26362232b13",
+    "numina:22ff4e26-7949-517b-9c2b-94181380b027",
+    "numina:37d880cd-27a6-56c3-bdd1-55a407ebff8d",
+    "numina:90be8f3a-c660-599a-b87f-788af19b745e",
+    "numina:ce942415-b130-5448-8eae-541b0804611b"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004485.lean\",\"b3e0786fffb6bbda826c30537af7560b10ab6621cfb3768b1e51c151f548cf3a\",0,\"number_theory_4788\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004486.lean\",\"d8f1326fd1f2ccf99047008b2bceaa99a971a7b62cf0cdefcb55f2ddf99e9097\",0,\"inequalities_606230\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004487.lean\",\"fc40764a4c6f5059f8e116c0b52e2c24ff6ed550f711afd2d20e7aab72f88c83\",0,\"number_theory_4789\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004488.lean\",\"5bcfc9312ca92934b9609a81c4130f590300a39345c8e1221c2aec2d5977163f\",0,\"algebra_430835\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004489.lean\",\"cf5f9d793bb29b15284dd819c51e0dcded38ac4c0f6a3d1f3746663285eb5dc6\",0,\"number_theory_241756\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000897-0000-d95a7e4a0116841b.parquet",
-      "sha256": "d95a7e4a0116841bf1bbbbc9b9df0530b410fa0b82585ec1b36fbfdd1ed8a8e0",
       "bytes": 90025,
+      "path": "data/train/pc1/numina-000897-0000-d95a7e4a0116841b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
+      "sha256": "d95a7e4a0116841bf1bbbbc9b9df0530b410fa0b82585ec1b36fbfdd1ed8a8e0"
     },
     {
-      "path": "data/train/numina-000897-0001-ede46e4f7ce0bc65.parquet",
-      "sha256": "ede46e4f7ce0bc65e590904f48e1a7f127df0fca01d00af1548ecbde9571b3b1",
       "bytes": 3143936,
+      "path": "data/train/pc1/numina-000897-0001-ede46e4f7ce0bc65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
+      "sha256": "ede46e4f7ce0bc65e590904f48e1a7f127df0fca01d00af1548ecbde9571b3b1"
     },
     {
-      "path": "data/train/numina-000897-0002-1b94707abe66d074.parquet",
-      "sha256": "1b94707abe66d074b54f37b66c2d1d7fc7c38dbabf436688fe864bfb0c7ad637",
       "bytes": 588499,
+      "path": "data/train/pc1/numina-000897-0002-1b94707abe66d074.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
+      "sha256": "1b94707abe66d074b54f37b66c2d1d7fc7c38dbabf436688fe864bfb0c7ad637"
     },
     {
-      "path": "data/train/numina-000897-0003-0243578bcf174864.parquet",
-      "sha256": "0243578bcf17486430f3d9fc76326422ed4c43324377e095f21916f59ba34621",
       "bytes": 267257,
+      "path": "data/train/pc1/numina-000897-0003-0243578bcf174864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "0a7de0662816e68119d5155bd617424be96f2e99"
+      "sha256": "0243578bcf17486430f3d9fc76326422ed4c43324377e095f21916f59ba34621"
     }
-  ],
-  "proof_ids": [
-    "numina:2111bd9c-0b54-5d5f-8044-a26362232b13",
-    "numina:22ff4e26-7949-517b-9c2b-94181380b027",
-    "numina:37d880cd-27a6-56c3-bdd1-55a407ebff8d",
-    "numina:90be8f3a-c660-599a-b87f-788af19b745e",
-    "numina:ce942415-b130-5448-8eae-541b0804611b"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004485.lean\",\"b3e0786fffb6bbda826c30537af7560b10ab6621cfb3768b1e51c151f548cf3a\",0,\"number_theory_4788\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004486.lean\",\"d8f1326fd1f2ccf99047008b2bceaa99a971a7b62cf0cdefcb55f2ddf99e9097\",0,\"inequalities_606230\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004487.lean\",\"fc40764a4c6f5059f8e116c0b52e2c24ff6ed550f711afd2d20e7aab72f88c83\",0,\"number_theory_4789\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004488.lean\",\"5bcfc9312ca92934b9609a81c4130f590300a39345c8e1221c2aec2d5977163f\",0,\"algebra_430835\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004489.lean\",\"cf5f9d793bb29b15284dd819c51e0dcded38ac4c0f6a3d1f3746663285eb5dc6\",0,\"number_theory_241756\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000898.json b/manifests/batches/numina/000898.json
index d24cb444969a751cbdf8531bd64503b259549347..1b0d9a6e58d2175b5206096e1b8c5c921e0cf10d 100644
--- a/manifests/batches/numina/000898.json
+++ b/manifests/batches/numina/000898.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000898",
   "batch_fingerprint": "e5362e94dab80d408d54f55808ae3612c22814a9210c3fc8445d39e0ee9dd1ec",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000898-0000-ec4807a8882374c9.parquet",
-      "sha256": "ec4807a8882374c94e1104989e9e9a9ed8edaf6403ffb1e87d2edb676f4716fc",
-      "bytes": 210341,
-      "rows": 20,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b123512-03ec-5399-ba14-75ae60065713",
     "numina:16341be7-c867-5269-846a-7a23c442df76",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004492.lean\",\"ff16bd79422e051a3053d05a2a8521e1fbce1eedf59d25823f5d6fd079f3f716\",0,\"algebra_608032\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004493.lean\",\"14f0c5b3fc10dfab56ce26cbafaa58fce74a53e6e50a9310ed91a9226926e4c6\",0,\"number_theory_13618\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004494.lean\",\"0d76ae59ecffccc7dc15510583ea64fd19b10b2ae847a333330cbd01919c8918\",0,\"algebra_96952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210341,
+      "path": "data/train/pa5/numina-000898-0000-ec4807a8882374c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ec4807a8882374c94e1104989e9e9a9ed8edaf6403ffb1e87d2edb676f4716fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000899.json b/manifests/batches/numina/000899.json
index c64d4749c721141779bbea9a61dc467d791d40e4..b9ddfc32bdbe0271a4ad07ce8a2f41574719738f 100644
--- a/manifests/batches/numina/000899.json
+++ b/manifests/batches/numina/000899.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000899",
   "batch_fingerprint": "21cd127593d1ce721cb2a9cbfff7ec6cc8bcfa2dd82dbd9b413f33bbc2c1d405",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000899-0000-210bb80f8010bf12.parquet",
-      "sha256": "210bb80f8010bf129100c67ef04835b765cacb91cfd201bbf6bc9b1317c62db3",
-      "bytes": 75335,
-      "rows": 16,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    },
-    {
-      "path": "data/dev/numina-000899-0000-6b7ca19e3744aad4.parquet",
-      "sha256": "6b7ca19e3744aad499385e6b9266f98e6de83c69e7982c08f474470c1518ff0f",
-      "bytes": 23952,
-      "rows": 1,
-      "revision": "320fce72262e2a08320c752e06efa55efecf0f63"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e3ec0d0-15f7-56ee-8ba4-61d55ec33c90",
     "numina:127cb9ca-88fd-5d43-89a4-1f3790ed73ac",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004497.lean\",\"3239246d9196cbabb71b7b6425ea1130b8d7ce798def7e70c55d217400f8a020\",0,\"Number_theory_608434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004498.lean\",\"fccc108d6ab4403be97d42d2d55e319b07651737a0859f6379f48e6d1ec5c880\",0,\"algebra_220000\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004499.lean\",\"8795e7138eac1c45f71be38dc953d3d811242988e54752d586f53caa80c76775\",0,\"algebra_96968\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75335,
+      "path": "data/train/p9d/numina-000899-0000-210bb80f8010bf12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "210bb80f8010bf129100c67ef04835b765cacb91cfd201bbf6bc9b1317c62db3"
+    },
+    {
+      "bytes": 23952,
+      "path": "data/dev/p9d/numina-000899-0000-6b7ca19e3744aad4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6b7ca19e3744aad499385e6b9266f98e6de83c69e7982c08f474470c1518ff0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000900.json b/manifests/batches/numina/000900.json
index 00ea7ea70cf5966e24139255e4d406885d3a73e0..91afbdb6c00b8ddf11c2b7c91ade53450f0d6f5a 100644
--- a/manifests/batches/numina/000900.json
+++ b/manifests/batches/numina/000900.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000900",
   "batch_fingerprint": "a2487bd3ba757f1f77ea23e59d6d49d7f7c61368a04b3f15694ee7c7dd7d0227",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000900-0000-fae39772c6dec7c9.parquet",
-      "sha256": "fae39772c6dec7c95ed0549953ef1338198b8f5b81c3e2a5aaa6fb5419329c20",
-      "bytes": 282057,
-      "rows": 40,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    },
-    {
-      "path": "data/internal_test/numina-000900-0000-48ee44d7adb1af35.parquet",
-      "sha256": "48ee44d7adb1af358a46d89b88c2f34efe8b8ebc3139ade2c5be053cdd6e1b63",
-      "bytes": 95209,
-      "rows": 5,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0db4bee7-53f7-5b8d-81c1-4bd8a8d02a2d",
     "numina:42e6b04a-1bec-518e-b130-00d31c8aee36",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004502.lean\",\"c550acd4a6b19f1d4ed4c56566f9b2fc1dd3aa343602edb145be69cc61dfba58\",0,\"algebra_12179\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004503.lean\",\"377360efa83c776d0d06b04aa6b2f50f4728e9da9fea312fa6e9c203e9cdc539\",0,\"algebra_606284\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004504.lean\",\"c10fb8f76cbae10b052171114ee4f093cb38036dd1ef90b26871c938f3de55bf\",0,\"algebra_610868\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 282057,
+      "path": "data/train/p8f/numina-000900-0000-fae39772c6dec7c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "fae39772c6dec7c95ed0549953ef1338198b8f5b81c3e2a5aaa6fb5419329c20"
+    },
+    {
+      "bytes": 95209,
+      "path": "data/internal_test/p8f/numina-000900-0000-48ee44d7adb1af35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "48ee44d7adb1af358a46d89b88c2f34efe8b8ebc3139ade2c5be053cdd6e1b63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000901.json b/manifests/batches/numina/000901.json
index fbec74b21ebec35f9473b680b0c0779623907a60..b462f9a5571c43874724cbc80f747827d9a710ea 100644
--- a/manifests/batches/numina/000901.json
+++ b/manifests/batches/numina/000901.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000901",
   "batch_fingerprint": "47f3ef40cd8d92ab9687c219c7179e84c3e8476bb0e084f5959d4d941f3c4bee",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000901-0000-6c526670567a8d1c.parquet",
-      "sha256": "6c526670567a8d1cb906ecb5267e46758af43e400cff468b28f9b8259ec0951e",
-      "bytes": 167984,
-      "rows": 17,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a8c6217-59dc-56dc-91a4-b9d7d99d1648",
     "numina:40115e6a-63ca-5aea-a8ea-d1ed7f6f8a7e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004507.lean\",\"9a6350c759262b45e2542543748b9c9a0a2a5be0340afb9c39ec7a6152c283a7\",0,\"number_theory_4705\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004508.lean\",\"fde9dcfc4f0949c60bc007bed27b7b7dad0c1df5a5da557d5d9de431eee2fa4d\",0,\"algebra_12164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004509.lean\",\"00d1db57e174f072fb5012c869c17bbba7833b4b5b5d695b1900616a15c854a7\",0,\"algebra_10239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167984,
+      "path": "data/train/p8e/numina-000901-0000-6c526670567a8d1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6c526670567a8d1cb906ecb5267e46758af43e400cff468b28f9b8259ec0951e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000902.json b/manifests/batches/numina/000902.json
index b9e29ff1b15ccbc944d3e2d572b17f1070e3eb6d..d35c510277bc0530cf18c7e09dc7d65923615dd9 100644
--- a/manifests/batches/numina/000902.json
+++ b/manifests/batches/numina/000902.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000902",
   "batch_fingerprint": "f21413cf904c9d713b93846c6620e184b9e3686c3727f6515ec8a3eb15872b96",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000902-0000-c2ff44b9da970895.parquet",
-      "sha256": "c2ff44b9da970895bf3e27b04fd2b061c997c7724061e18a76ca673af98e59ca",
-      "bytes": 339429,
-      "rows": 46,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4ebe470c-1ac4-5756-9db7-6ef22cf01224",
     "numina:53e6e720-4e7b-5d9d-b994-6b4bcb391e16",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004512.lean\",\"cca5aba2c2e17248a0c8b44e4d5f0f46f693ddad2018bf0c6a934373a521157f\",0,\"algebra_264873\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004513.lean\",\"dd0537a3b902ae546512395f70d1e3dbdd526ca987755f61c885f30541a27588\",0,\"calculus_16882\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004514.lean\",\"82966d6240b453da0cdd2d89af12c2c62f04d7d67566baf265175e44924d1672\",0,\"number_theory_605821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339429,
+      "path": "data/train/p0e/numina-000902-0000-c2ff44b9da970895.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c2ff44b9da970895bf3e27b04fd2b061c997c7724061e18a76ca673af98e59ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000903.json b/manifests/batches/numina/000903.json
index b53eaab97f48b4b64bd557572127284d54848ff0..f6808e75a4d4a1db6c65cce0a706cd275469227b 100644
--- a/manifests/batches/numina/000903.json
+++ b/manifests/batches/numina/000903.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000903",
   "batch_fingerprint": "7bc17a0d683bb1b074094eda723385f87cce7739051682fe29e10eb8812585b3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000903-0000-dd2d0123adf26c86.parquet",
-      "sha256": "dd2d0123adf26c86ce33b88d46377370e4aeb2bc1fbfb563a9123a73c824ea39",
-      "bytes": 444048,
-      "rows": 31,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39f5a181-6784-5f3e-9a70-018ccc74b3f2",
     "numina:49fcb0c0-b9c6-577f-a997-a647ba774111",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004517.lean\",\"430c8faaa802873b649ecc061913e90919b085944b0be433ac976d6a0e2297f8\",0,\"algebra_13601\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004518.lean\",\"63efd35e6457f190f13a86211e9b3566e09d92be81d183be13c4ac093d92d80d\",0,\"inequalities_24641\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004519.lean\",\"549fbe880c35b88ea80d15c036c04e67027019aeac5617137485dd88059aa47f\",1,\"algebra_604207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 444048,
+      "path": "data/train/p4c/numina-000903-0000-dd2d0123adf26c86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "dd2d0123adf26c86ce33b88d46377370e4aeb2bc1fbfb563a9123a73c824ea39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000904.json b/manifests/batches/numina/000904.json
index 740ef3bb6a5a52e2bf3b06f671065792ce2f87f7..86c3042f401f746c45aefc4fb3dbe08dac2f22b7 100644
--- a/manifests/batches/numina/000904.json
+++ b/manifests/batches/numina/000904.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000904",
   "batch_fingerprint": "14cf3fefb5377a4dc1bcd7eceecaf75f2192c49892f901dfac5943e5a0e693c9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000904-0000-1ab8ebc3384f151e.parquet",
-      "sha256": "1ab8ebc3384f151eab21d5be216624173ea608891c11ac387e74b58a9eab3643",
-      "bytes": 482600,
-      "rows": 35,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12f878f6-ee10-56a8-ad4e-90513fae0c14",
     "numina:1f5fda50-a757-5be2-bb60-7d5a4ae20e3f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004522.lean\",\"f936e965268b7feadedb7f451315fb4cb23e0fd7b64554590a67e5d46bb8069c\",0,\"number_theory_104044\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004523.lean\",\"7ead63acb351972bc1c188c0d411729c0ab763f2dbd5da52059d0dbcd642da53\",0,\"number_theory_604208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004524.lean\",\"c152b06a1679b5906840fca4b571797ff9737235afb15265255841db208c3ea4\",0,\"algebra_9121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 482600,
+      "path": "data/train/p4f/numina-000904-0000-1ab8ebc3384f151e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "1ab8ebc3384f151eab21d5be216624173ea608891c11ac387e74b58a9eab3643"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000905.json b/manifests/batches/numina/000905.json
index 71ccf6d9f8de176143c9cc4970ee8784f3e36bbf..30b33dbac76094255b7b71d3019b43f28737ce7f 100644
--- a/manifests/batches/numina/000905.json
+++ b/manifests/batches/numina/000905.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000905",
   "batch_fingerprint": "f58ca85927691ec1937e768f6952d4dc9762b6e14976156100361bf0b0a7e45e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000905-0000-700ad0aa4e56c5cc.parquet",
-      "sha256": "700ad0aa4e56c5ccd879e405ac5693d76dbb1f2838e788a1d53fffabf8bb01bc",
-      "bytes": 277209,
-      "rows": 32,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12681406-971a-5882-80f9-9da6a98b11d6",
     "numina:2ae7d15e-fbec-5b34-a032-5af90d4dc817",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004527.lean\",\"8d79754daf0fa89bd57383914cab6c8cd1a76bc5c964e139d055d819a45630ae\",0,\"algebra_9122\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004528.lean\",\"41018db8b222b24fcef5fe5ed78831f1e6ea276901491df2666ba4c57a4bc636\",0,\"inequalities_605843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004529.lean\",\"787e54ea90af45590a3ecf6a351ad9c2fefcfac5e70d7fb3a96be27b77cafd25\",0,\"number_theory_15489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277209,
+      "path": "data/train/p11/numina-000905-0000-700ad0aa4e56c5cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "700ad0aa4e56c5ccd879e405ac5693d76dbb1f2838e788a1d53fffabf8bb01bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000906.json b/manifests/batches/numina/000906.json
index 9e63f9a5198cda8484389dd36237cc2a3610f7be..091cec9e0f4b10e65a67e1a7e2aee3858bb03cd8 100644
--- a/manifests/batches/numina/000906.json
+++ b/manifests/batches/numina/000906.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000906",
   "batch_fingerprint": "e4c412ee5fe025fd71909d07a443174d9e330d6aac7f3870bcd998d970b2cd87",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000906-0000-84a6e034c2c9258b.parquet",
-      "sha256": "84a6e034c2c9258bdde79482482771ce89562247ba6b1e8beab52b1421badaa8",
-      "bytes": 733542,
-      "rows": 38,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:69fb3eb0-2545-5c2c-be51-d05a7a225654",
     "numina:93065b73-cb0e-57ec-83d7-60738fd3295f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004532.lean\",\"140db0452ece7cbda1bfa79364c1a560d008379223b39cc2e76b6eadd0fe9250\",0,\"algebra_14760\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004533.lean\",\"a732923dfb31cabb24d866195b9c22ef0bff49949cd69b34f8b0f1211e76d209\",0,\"number_theory_4647\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004534.lean\",\"8e15608c1605412b0b270d7299c5b727a5631e71e2cf9c16071be5aa1d3c7592\",0,\"number_theory_605991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 733542,
+      "path": "data/train/pc7/numina-000906-0000-84a6e034c2c9258b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "84a6e034c2c9258bdde79482482771ce89562247ba6b1e8beab52b1421badaa8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000907.json b/manifests/batches/numina/000907.json
index c250752374b23baf8cfb7c7067f82e8cc2559417..ebb20d3f3a9b7370482daa65bb9ccf20f45daaea 100644
--- a/manifests/batches/numina/000907.json
+++ b/manifests/batches/numina/000907.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000907",
   "batch_fingerprint": "996a9b1ab0a551151ef1054549b20581d035ae3422803106b51fa74388016de8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000907-0000-a6f71b1d2c238d55.parquet",
-      "sha256": "a6f71b1d2c238d55ac795b7dd7ca7f2085ebd85103d14f7ec300d00fe63e3a0d",
-      "bytes": 416743,
-      "rows": 13,
-      "revision": "a5385bccb13c2bf30d41b3af340f0dd8b2aa3523"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:724de330-b225-58f1-b93b-5221f1c0c791",
     "numina:9dd8f87b-f7b0-5673-9317-513d08c82367",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004537.lean\",\"c99d928374d0a9c7528f072449da94b89a8413325af32cbd029baf152f4ad0c0\",0,\"algebra_11367\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004538.lean\",\"17f62f34d6e7fade66fe85770023d5bc8a9981d92667ab11c1f41af78be10d7c\",0,\"number_theory_4651\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004539.lean\",\"b2da85948ece3e05807096d691afdce403669bb4a0f99a5e77ff5d9d11c49d6e\",0,\"algebra_15830\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416743,
+      "path": "data/train/p5f/numina-000907-0000-a6f71b1d2c238d55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a6f71b1d2c238d55ac795b7dd7ca7f2085ebd85103d14f7ec300d00fe63e3a0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000908.json b/manifests/batches/numina/000908.json
index aa1ced9d18bfdbc5ac1e631c714d0b2a35cf64ab..511d698ccfce7df493e000a22eca6879b4686ad7 100644
--- a/manifests/batches/numina/000908.json
+++ b/manifests/batches/numina/000908.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000908",
   "batch_fingerprint": "9da416f5bd584907b9ee4d9cb5f1dcaeac1a47ec8eb17b2f2a373c356e02e381",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000908-0000-03031de4ddb35882.parquet",
-      "sha256": "03031de4ddb35882bb785a8b573bfa5258c0249df20e4cc3cb28f897c8cadf8f",
-      "bytes": 318319,
-      "rows": 28,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:122f4df2-6217-5df8-bbde-e29e06a22197",
     "numina:59d9e080-4578-5f68-8228-8614f3e05c38",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004541.lean\",\"f1ff3da365ed9c5d9745d7a5ef29a67cceeb88966defb33bc5b0d09ac68d237d\",0,\"other_24823\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004543.lean\",\"bfb82aaf075d0b285c551f82037d9b5dd5bbe80440f9560dc6ef51cb83335bc1\",0,\"number_theory_19339\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004544.lean\",\"b9ff167331036d8967e251e53fdcfcb95b9bcfb174f3b95fd28182564b26b23b\",0,\"algebra_605790\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318319,
+      "path": "data/train/p17/numina-000908-0000-03031de4ddb35882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "03031de4ddb35882bb785a8b573bfa5258c0249df20e4cc3cb28f897c8cadf8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000909.json b/manifests/batches/numina/000909.json
index 120fc8d971c1e6fe8616e7aaeb15d8057e1583a9..47fb1230c038eb6b6e7bae7bc26b39ac4aeead2b 100644
--- a/manifests/batches/numina/000909.json
+++ b/manifests/batches/numina/000909.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000909",
   "batch_fingerprint": "64e762745a73d45399972d4db3fd220fee6db0c768ee89c9c42dcc1a38dd7d26",
   "evidence": {
@@ -27,15 +26,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000909-0000-8b9bb4e3b756a9a4.parquet",
-      "sha256": "8b9bb4e3b756a9a4162b32d0b5147b7333188defa463179e1fce3d5007b848f6",
-      "bytes": 138675,
-      "rows": 24,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26c6a102-05d6-51c7-9199-a96c3aab24ed",
     "numina:533bb53b-6358-5a43-aaee-cdd84fd0f613",
@@ -49,5 +40,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004547.lean\",\"9bd01a28b4bd2f8b7df807e750846f115698f647a8df2a7c1ef3f5f7acf77227\",0,\"algebra_606164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004548.lean\",\"6d899efb3049a6026a91380f3a573da81a0ce21d98465021b30089d890d8d623\",0,\"algebra_96555\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004549.lean\",\"4d71ce2d2a3d109ac92765e09ad736d8e9a069d4c79c0147b4394f4eb037e10f\",0,\"number_theory_4962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138675,
+      "path": "data/train/pd1/numina-000909-0000-8b9bb4e3b756a9a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8b9bb4e3b756a9a4162b32d0b5147b7333188defa463179e1fce3d5007b848f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000910.json b/manifests/batches/numina/000910.json
index 0d9ef8d494c6d0fa29f64526300c1fd606270b6a..e0061c090d87fc0d190a82e17a0b3cce157757cc 100644
--- a/manifests/batches/numina/000910.json
+++ b/manifests/batches/numina/000910.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000910",
   "batch_fingerprint": "0c3b648b1f5414d8dd3ae46a8d945150d32e08393781af8dc31e79920ef60501",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000910-0000-255197adf9df7ffb.parquet",
-      "sha256": "255197adf9df7ffbbfc404945090990f9452f882681a5be40d37e9ecedab9c69",
-      "bytes": 416843,
-      "rows": 61,
-      "revision": "eb56edcbb109d7927cb09160be228eb04348064a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15fe8660-575b-5c79-bba6-75b54614620d",
     "numina:3c02fb15-0121-5a85-9dd0-04cdaefb280f",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004551.lean\",\"ec3f168eca041acc1f42f2533c052c40d89b8601be425235c6d71d9a494a20e0\",0,\"algebra_96560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004552.lean\",\"273257daedf3e205af0e90eee37dbfec227d30549b8a133252af1bd6c1cc9cd6\",0,\"number_theory_15850\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004553.lean\",\"dc01c678a94b02d084396b22e43eed77d212a39d94c1d6cb529e6039dbf7292b\",0,\"inequalities_140535\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416843,
+      "path": "data/train/p2e/numina-000910-0000-255197adf9df7ffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "255197adf9df7ffbbfc404945090990f9452f882681a5be40d37e9ecedab9c69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000911.json b/manifests/batches/numina/000911.json
index d7cc8cd250731a648860769293ea31377f2a91c8..87f90cb340a8c11801a2244f3650b906043aeda0 100644
--- a/manifests/batches/numina/000911.json
+++ b/manifests/batches/numina/000911.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000911",
   "batch_fingerprint": "493c3290f4fa5b1bb3a96c090eec4b9c2e195c9c38b5e97fa401ee4a7ff41ae1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000911-0000-3541a60aa8389493.parquet",
-      "sha256": "3541a60aa8389493960a6a1f676b3f77154a035bdbccaf7b779b184bd2681e50",
-      "bytes": 169526,
-      "rows": 32,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/internal_test/numina-000911-0000-cb4effd66c861f4c.parquet",
-      "sha256": "cb4effd66c861f4c57fa1ededdf07910fffb7eda49a8226f78ad4bbf15cf111f",
-      "bytes": 71098,
-      "rows": 11,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:25eab619-6f21-572e-8e0b-ed45d82bb459",
     "numina:45f0139d-340e-570f-bebc-79b2730ac1dc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004557.lean\",\"607f8522c4085e9e55c5ef8a036853bbbfa02abe08d5836858cd363ada815180\",0,\"calculus_611320\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004558.lean\",\"8c568eecb390d3c985d89635d918946f3619847193657688185e7781390a38ec\",0,\"algebra_21283\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004559.lean\",\"8dd505aaaa7d5427e211ea152d1a6fe17edec3eabf731035fdbc908b3808bde7\",0,\"algebra_9403\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169526,
+      "path": "data/train/p5a/numina-000911-0000-3541a60aa8389493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "3541a60aa8389493960a6a1f676b3f77154a035bdbccaf7b779b184bd2681e50"
+    },
+    {
+      "bytes": 71098,
+      "path": "data/internal_test/p5a/numina-000911-0000-cb4effd66c861f4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cb4effd66c861f4c57fa1ededdf07910fffb7eda49a8226f78ad4bbf15cf111f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000912.json b/manifests/batches/numina/000912.json
index fbd912b3f463a003961b9049d9cd3bc21020578f..05db76b703a9bb5d8e1e3e1305e01c9dba99e168 100644
--- a/manifests/batches/numina/000912.json
+++ b/manifests/batches/numina/000912.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000912",
   "batch_fingerprint": "3162ed398bc5973d87147653742e73e021ed3cb9db35309ae12b389f86a5532c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000912-0000-f62a7f688cfa937b.parquet",
-      "sha256": "f62a7f688cfa937be3686275327d6292a94777f0749185ab2516917ab9cbbe22",
-      "bytes": 717030,
-      "rows": 19,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    },
-    {
-      "path": "data/train/numina-000912-0001-63f7d602863099a4.parquet",
-      "sha256": "63f7d602863099a4ec0d36b0805261aa15f73c077977c4aade6eef82a8d50c81",
-      "bytes": 449795,
-      "rows": 4,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:317c4ad5-106a-514b-9aa9-da4bd1146642",
     "numina:62fbb509-8c82-5f95-87c0-2c52259ca5a1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004562.lean\",\"0a9523b741aefca1e640c29d2442809a34ac3ddb8f6d083bdd6ddcefd7ef0e79\",0,\"N2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004563.lean\",\"5f4d920c08531f9dd74c86a97a85303695e67fb4a383c617abacb821953767f8\",0,\"algebra_21286\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004564.lean\",\"f32a9d9a19c71fd29267e2d28220dad9908b10bdb44defdafb4ff276754549bd\",0,\"algebra_9404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 717030,
+      "path": "data/train/pd5/numina-000912-0000-f62a7f688cfa937b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f62a7f688cfa937be3686275327d6292a94777f0749185ab2516917ab9cbbe22"
+    },
+    {
+      "bytes": 449795,
+      "path": "data/train/pd5/numina-000912-0001-63f7d602863099a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "63f7d602863099a4ec0d36b0805261aa15f73c077977c4aade6eef82a8d50c81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000913.json b/manifests/batches/numina/000913.json
index 9d749c6141c4c8864abec5574a953f92da90727c..ae62e4ec6444fe7bba699c790d25c9f8890957e4 100644
--- a/manifests/batches/numina/000913.json
+++ b/manifests/batches/numina/000913.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000913",
   "batch_fingerprint": "c960a0cbed431f380d120d88dfac971ec85f5c689dea4c1611e235b56f286ee9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000913-0000-f525bd0a92b0f8dd.parquet",
-      "sha256": "f525bd0a92b0f8dd0d7bd599495b27d1524b638103f61288c8b5cc7b2e55b2a5",
-      "bytes": 634697,
-      "rows": 41,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    },
-    {
-      "path": "data/dev/numina-000913-0000-0e718d67a9e21464.parquet",
-      "sha256": "0e718d67a9e214642bfa4227187c9a5211765a79778890ea2fc3201c6c9641c6",
-      "bytes": 38936,
-      "rows": 8,
-      "revision": "2f3ff0c4fb36b84797256fb6bf6f3ad9a0fe7cbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2650134c-ea25-5263-a054-c5aecb28c5a2",
     "numina:4b2c224c-90d5-5494-94be-4200b0e54354",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004567.lean\",\"387cf3bd57e54094d4c6f3ec4e59b2d1a2ace33771ae94a8af16e410b1036427\",0,\"number_theory_24211\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004568.lean\",\"64932e40d3f7a03bec2fe4b99fdb8ed359f3e5e706f226d18e85aedd81e69a20\",0,\"algebra_9405\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004569.lean\",\"a92fd9adbc10f918a77872ee6532798bfe3ea95124ef3c5809d3b39201cf85d4\",0,\"number_theory_4972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634697,
+      "path": "data/train/p04/numina-000913-0000-f525bd0a92b0f8dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "f525bd0a92b0f8dd0d7bd599495b27d1524b638103f61288c8b5cc7b2e55b2a5"
+    },
+    {
+      "bytes": 38936,
+      "path": "data/dev/p04/numina-000913-0000-0e718d67a9e21464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0e718d67a9e214642bfa4227187c9a5211765a79778890ea2fc3201c6c9641c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000914.json b/manifests/batches/numina/000914.json
index 784acac87e85dde1a476d2c2b27d9dc0aacb497e..911dc2239db2e298157e68f79935a04b05b059bd 100644
--- a/manifests/batches/numina/000914.json
+++ b/manifests/batches/numina/000914.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000914",
   "batch_fingerprint": "df157292c7b3be19d4024c490d189d0b641845835b2589e07bb66060a1887f7b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000914-0000-af1c4139e519948d.parquet",
-      "sha256": "af1c4139e519948dc78b65ab89a357f7388148024e876f12011e78bb1b1048b5",
-      "bytes": 766344,
-      "rows": 46,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:65586fee-af98-57fd-9b73-4f96f3edacd2",
     "numina:685cf025-d4ff-52a5-a373-79298ca5b135",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004572.lean\",\"154392d60e8b3b56cb329cf0ca7efb4ca9aa4f1e214eefc6929df663e10dcee3\",1,\"number_theory_N4_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004573.lean\",\"06a3938beff496070906dfc7dafe3401c09eeeeef0956817bfa231e4be2d984d\",0,\"algebra_16757\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004574.lean\",\"adbb7fb514640bb32b9dc9c152f8bd2ca0e8b55df30a790bf4de6a774603768a\",0,\"algebra_10400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 766344,
+      "path": "data/train/p5b/numina-000914-0000-af1c4139e519948d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "af1c4139e519948dc78b65ab89a357f7388148024e876f12011e78bb1b1048b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000915.json b/manifests/batches/numina/000915.json
index ab37d500c951ee834fb8d03a61ac8e0596b8c689..9051c8ed947f6fd6683e07ac1b0d7d50634961a8 100644
--- a/manifests/batches/numina/000915.json
+++ b/manifests/batches/numina/000915.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000915",
   "batch_fingerprint": "82c1ca68b89cd1fc10f799aba46cb14079d8591c3c4b235a87708399a7938834",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000915-0000-5a0e32f5d85bb37e.parquet",
-      "sha256": "5a0e32f5d85bb37ef31d12e795358f8aca030dee0595588ccf63d4153eac2d75",
-      "bytes": 476259,
-      "rows": 41,
-      "revision": "54bd157e39a43277d2cec427145653e137ded448"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0152caff-1442-5591-ac12-36f459f1402d",
     "numina:1442e76e-4531-5022-8800-d9dc540e2b44",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004577.lean\",\"4ad722fa9897a1fd09085cb7433300ad676fa574649922942e2c8ccdbf529e6a\",0,\"algebra_12480\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004578.lean\",\"feb865e1e037219b2f33d3a041641a3838cc00d147f05f03a1803b6ccf354be9\",0,\"number_theory_97905\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004579.lean\",\"6d7d842ad4a2756de32c709467f4abe9fa35826b9e6c088ca3d21e3630edbc52\",0,\"algebra_11587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476259,
+      "path": "data/train/p4f/numina-000915-0000-5a0e32f5d85bb37e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "5a0e32f5d85bb37ef31d12e795358f8aca030dee0595588ccf63d4153eac2d75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000916.json b/manifests/batches/numina/000916.json
index 652b9497bcde8a2e41290a8328f9611eb9f2b178..e7d595fbf59ba41f5b9ea89671ac82a3916c7922 100644
--- a/manifests/batches/numina/000916.json
+++ b/manifests/batches/numina/000916.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000916",
   "batch_fingerprint": "7838a17b80a5974002876e6c8ebe3e69db289dbf687ef10c60a7b2c190e242aa",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000916-0000-d007e04326907ccc.parquet",
-      "sha256": "d007e04326907cccd79e50990abfbd560517031da53e756265f75f325636dee5",
-      "bytes": 515921,
-      "rows": 20,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/dev/numina-000916-0000-0a93902fa70509d2.parquet",
-      "sha256": "0a93902fa70509d2fc454d16aba0b9607da7bb6091834025bb7948702a85814d",
-      "bytes": 69787,
-      "rows": 20,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    },
-    {
-      "path": "data/internal_test/numina-000916-0000-281ef53c90860fd5.parquet",
-      "sha256": "281ef53c90860fd55804db237ea0263d70713d7b00b37d7b50560b2f769ccd20",
-      "bytes": 497180,
-      "rows": 42,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d0c3c80-a19d-596c-b792-15d6496de511",
     "numina:51aa7126-858a-5488-a56b-ace3bab47da1",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004582.lean\",\"c86c1ade099cf513123c57b66008964cba5a96ada27043e36a7fa60d9925f186\",0,\"algebra_609814\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004583.lean\",\"b95ae72b1e4dc2f574b273bda4fd5e076b496d331f5d84c4e01f995a506dffa1\",0,\"number_theory_604997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004584.lean\",\"164ef778cc0a3ef35e30bc0b0358fdccaf85fa99ee16b7fc017372566e3fd2c9\",0,\"number_theory_609046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515921,
+      "path": "data/train/pd2/numina-000916-0000-d007e04326907ccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d007e04326907cccd79e50990abfbd560517031da53e756265f75f325636dee5"
+    },
+    {
+      "bytes": 69787,
+      "path": "data/dev/pd2/numina-000916-0000-0a93902fa70509d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0a93902fa70509d2fc454d16aba0b9607da7bb6091834025bb7948702a85814d"
+    },
+    {
+      "bytes": 497180,
+      "path": "data/internal_test/pd2/numina-000916-0000-281ef53c90860fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "281ef53c90860fd55804db237ea0263d70713d7b00b37d7b50560b2f769ccd20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000917.json b/manifests/batches/numina/000917.json
index 4f38147233cd52e0474bdc7ec5b91cde74c454e7..4acaf753ec66b2f56e762a4b957d1600633341bd 100644
--- a/manifests/batches/numina/000917.json
+++ b/manifests/batches/numina/000917.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000917",
   "batch_fingerprint": "2aa81593ea0dd47fe053274d792f38f0d53b9af2e3b629650907bd1aa0c1ed07",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000917-0000-24d0f18fbd7a757c.parquet",
-      "sha256": "24d0f18fbd7a757cf0fa02a73f8d4fff050b2a20583366be89cc6a8c327c6ac8",
-      "bytes": 191416,
-      "rows": 28,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/numina-000917-0000-fd72347a29c5d853.parquet",
-      "sha256": "fd72347a29c5d8533596633b8020fa33f030666e56e4f3e0b6e0d0c7bb282629",
-      "bytes": 36669,
-      "rows": 4,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e341530-0307-50df-9ded-9117ac276642",
     "numina:6189711d-dda9-5275-8c0d-51252ba0be6f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004587.lean\",\"3f238810f668a93e9bf9c85b2166671b8eb71dc6d702fda51213a7c8498d52e5\",0,\"number_theory_19466\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004588.lean\",\"d648b4787455aa59b3481743c5f16f5a5113e0e7f90cbcf17fc35468687f70f2\",0,\"algebra_11600\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004589.lean\",\"dd8b085ba6d9cc90ed497704e6ac1c771911a70ff6f825410649065b3329a014\",0,\"algebra_271604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191416,
+      "path": "data/train/p83/numina-000917-0000-24d0f18fbd7a757c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "24d0f18fbd7a757cf0fa02a73f8d4fff050b2a20583366be89cc6a8c327c6ac8"
+    },
+    {
+      "bytes": 36669,
+      "path": "data/internal_test/p83/numina-000917-0000-fd72347a29c5d853.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fd72347a29c5d8533596633b8020fa33f030666e56e4f3e0b6e0d0c7bb282629"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000918.json b/manifests/batches/numina/000918.json
index d3212b4f972deee5d76994a87ead004ad2343474..53d14533bbfd738582b2ffe06473f2457bfa5c1f 100644
--- a/manifests/batches/numina/000918.json
+++ b/manifests/batches/numina/000918.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000918",
   "batch_fingerprint": "818b6472416d54515f0ad6196f42fcbae33693caabbb5c804b3a66194872828b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000918-0000-f8bb9fdf0a480e80.parquet",
-      "sha256": "f8bb9fdf0a480e8006f5362603fa86542df258d2d1087dd93b25615f44c1b432",
-      "bytes": 355746,
-      "rows": 26,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34ab11af-b5de-5ded-a32d-011a402582a7",
     "numina:36d7d304-c615-5a85-8984-996310f9c8cb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004592.lean\",\"cbb1d35ca9023bc74e12612b2f6fd0bb9c30f7d8fba8d64370db885343c89216\",0,\"algebra_9084\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004593.lean\",\"e035e57b5916181383e42e8b6232a71c104a771e168df732aa9eaf7002d28b3d\",0,\"number_theory_97938\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004594.lean\",\"8070e53ec75d0c32190f64a639f5deb5582069c4ce2281460702e7b6310eafa1\",0,\"algebra_13026\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355746,
+      "path": "data/train/p98/numina-000918-0000-f8bb9fdf0a480e80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f8bb9fdf0a480e8006f5362603fa86542df258d2d1087dd93b25615f44c1b432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000919.json b/manifests/batches/numina/000919.json
index ac184948749596d1cd2724c93b35cda8112e51c7..6c95d11d1d8e4bff2259038ee64a0265af6fe341 100644
--- a/manifests/batches/numina/000919.json
+++ b/manifests/batches/numina/000919.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000919",
   "batch_fingerprint": "b80a11b282a0b6f837a1ac0d5c5e30ca2e2267559b4ff515fdc4634ce7ba7987",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:16bca762-1199-5a06-a2c9-ee899453b2c0",
+    "numina:529ce064-9a2a-5ecd-a2a9-42a6fadaa27b",
+    "numina:7df6dc02-e941-56bd-90d9-853a7f58101f",
+    "numina:b4ab03a7-aa0f-5bd7-8fd2-1eed9e8f83cd",
+    "numina:e7dcfa1d-7151-55f8-9ff5-848160890e34"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004595.lean\",\"efa496a79ab1e0cad4d07b9dcc367a6dc467c0d973d24dc5f86e97756f2fe439\",0,\"algebra_14282\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004596.lean\",\"1f661f2a66aeb184c32784a1bf75cd5a3f48e942af2d9b78579f0b3fd372223d\",0,\"algebra_11354\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004597.lean\",\"6101e75d42b8a413704c16e576bb4d3423b4ed5bdd55dcd23d079240f46a0c36\",0,\"Other_483\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004598.lean\",\"71c75b68993b999cd70bfc81a94f6b4f21400671d8700135e57e28fcca70318f\",0,\"number_theory_610822\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004599.lean\",\"3825d0b14a5f6dd5ac93d4e0890118dbda5896c89ac1223ba034ec6de6b0d856\",0,\"algebra_609074\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000919-0000-1cedf9d229af4f98.parquet",
-      "sha256": "1cedf9d229af4f98ac99184959e54df8bc631c34fe7e3c41dc1bc5fcb5cd71d4",
       "bytes": 871991,
+      "path": "data/train/p56/numina-000919-0000-1cedf9d229af4f98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
+      "sha256": "1cedf9d229af4f98ac99184959e54df8bc631c34fe7e3c41dc1bc5fcb5cd71d4"
     },
     {
-      "path": "data/train/numina-000919-0001-30c0dc64ee20f520.parquet",
-      "sha256": "30c0dc64ee20f5205edad738e9a7de586ffa6586705329a86af73419d61c351c",
       "bytes": 1191049,
+      "path": "data/train/p56/numina-000919-0001-30c0dc64ee20f520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
+      "sha256": "30c0dc64ee20f5205edad738e9a7de586ffa6586705329a86af73419d61c351c"
     },
     {
-      "path": "data/train/numina-000919-0002-af0ed5040463fcc6.parquet",
-      "sha256": "af0ed5040463fcc61246a8318355c2ef575d5cbd7e8520271df7acb4c5ed50ef",
       "bytes": 536090,
+      "path": "data/train/p56/numina-000919-0002-af0ed5040463fcc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
+      "sha256": "af0ed5040463fcc61246a8318355c2ef575d5cbd7e8520271df7acb4c5ed50ef"
     },
     {
-      "path": "data/internal_test/numina-000919-0000-e1269f372c8b9733.parquet",
-      "sha256": "e1269f372c8b973388bfe521a7e7762cfac03340d3dcb1ac8f7dc90cb22625df",
       "bytes": 53040,
+      "path": "data/internal_test/p56/numina-000919-0000-e1269f372c8b9733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "3e3e6be01d1f06c334a7890773a46ebb235724f5"
+      "sha256": "e1269f372c8b973388bfe521a7e7762cfac03340d3dcb1ac8f7dc90cb22625df"
     }
-  ],
-  "proof_ids": [
-    "numina:16bca762-1199-5a06-a2c9-ee899453b2c0",
-    "numina:529ce064-9a2a-5ecd-a2a9-42a6fadaa27b",
-    "numina:7df6dc02-e941-56bd-90d9-853a7f58101f",
-    "numina:b4ab03a7-aa0f-5bd7-8fd2-1eed9e8f83cd",
-    "numina:e7dcfa1d-7151-55f8-9ff5-848160890e34"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004595.lean\",\"efa496a79ab1e0cad4d07b9dcc367a6dc467c0d973d24dc5f86e97756f2fe439\",0,\"algebra_14282\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004596.lean\",\"1f661f2a66aeb184c32784a1bf75cd5a3f48e942af2d9b78579f0b3fd372223d\",0,\"algebra_11354\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004597.lean\",\"6101e75d42b8a413704c16e576bb4d3423b4ed5bdd55dcd23d079240f46a0c36\",0,\"Other_483\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004598.lean\",\"71c75b68993b999cd70bfc81a94f6b4f21400671d8700135e57e28fcca70318f\",0,\"number_theory_610822\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004599.lean\",\"3825d0b14a5f6dd5ac93d4e0890118dbda5896c89ac1223ba034ec6de6b0d856\",0,\"algebra_609074\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000920.json b/manifests/batches/numina/000920.json
index 8f20da73fe64de9aa1fcf38eff54facba64f4e58..71f65d1cdc61d2468be4336d2d576c0247627c00 100644
--- a/manifests/batches/numina/000920.json
+++ b/manifests/batches/numina/000920.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000920",
   "batch_fingerprint": "3f391c7db645b9c2557974de067ba74cbb6d789ee2d6b01cb3614120533f713c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000920-0000-a569da0e88943a63.parquet",
-      "sha256": "a569da0e88943a6367670bdd11fd09d515ccb4d4acec787cc407473a850c5fd7",
-      "bytes": 223491,
-      "rows": 40,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:95b14d4b-9c07-5408-a79c-c2b6bcd13087",
     "numina:9d85b82b-1090-542a-ae8b-29cc6b9fb4ec",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004602.lean\",\"f4b077ec5498b94b43e67f50b59cf3f8b144cd933175a603ca9ae490ff5800bf\",0,\"algebra_15781\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004603.lean\",\"292baa4ca54b5ca2d76001c338b84459e163c0f4a6215684a3c59daeac42924c\",0,\"algebra_9285\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004604.lean\",\"c919f721dfe3f3f494baaba551baaa0bd2353c70bca476eccd08063711e6b7c7\",0,\"algebra_10946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223491,
+      "path": "data/train/p0c/numina-000920-0000-a569da0e88943a63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "a569da0e88943a6367670bdd11fd09d515ccb4d4acec787cc407473a850c5fd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000921.json b/manifests/batches/numina/000921.json
index e3f223c9b0f41a28f95556ad438f5e3ada4a9488..afe220e3e1252794e0291cd6a9479cee6bf8f992 100644
--- a/manifests/batches/numina/000921.json
+++ b/manifests/batches/numina/000921.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000921",
   "batch_fingerprint": "be72f3daf610f31e8218ca20269f3b479fd785756d298821c4f8a576849888bb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000921-0000-ed4b002f65660af5.parquet",
-      "sha256": "ed4b002f65660af53e5af2b1c7a3d6c98e32e7db0eee7a983af33a62dfeb4cd9",
-      "bytes": 260968,
-      "rows": 25,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/numina-000921-0000-02c7c546fd39792c.parquet",
-      "sha256": "02c7c546fd39792c52b4d786bcc7658cb5d0690a25f7adf4596549c5647f4e32",
-      "bytes": 126157,
-      "rows": 15,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:60c4161c-b1b5-5e46-b86b-b12656776b4e",
     "numina:84100d65-97bf-57b3-9e57-3d2cfbbe8dc2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004607.lean\",\"f13127437a8ad322e728ca173b268ab33814e1ef6f2cab78076ec9964bafbbaf\",0,\"inequalities_23802\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004608.lean\",\"96e36a58633a2faa96bb2ac65cc851cf20a518e285cdbb70c7ad0e3aa3dba632\",0,\"number_theory_19616\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004609.lean\",\"5c1ca5d0852d4373105135d6ccc05d60cdb17531ab0df4cf26fa2a9b64f74d6e\",0,\"algebra_97202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260968,
+      "path": "data/train/p75/numina-000921-0000-ed4b002f65660af5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "ed4b002f65660af53e5af2b1c7a3d6c98e32e7db0eee7a983af33a62dfeb4cd9"
+    },
+    {
+      "bytes": 126157,
+      "path": "data/internal_test/p75/numina-000921-0000-02c7c546fd39792c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "02c7c546fd39792c52b4d786bcc7658cb5d0690a25f7adf4596549c5647f4e32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000922.json b/manifests/batches/numina/000922.json
index f6f432e6d99c5c64c623fbb2d3de9a3b1ac3b17b..e7eaab4049dde550b626b0ccbafb80ae833a116f 100644
--- a/manifests/batches/numina/000922.json
+++ b/manifests/batches/numina/000922.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000922",
   "batch_fingerprint": "2a41b9ab8d5f70906a062f06b75b6ad54d90dd880cb826ebad4bb8d7b62472f2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000922-0000-6d1583e574937951.parquet",
-      "sha256": "6d1583e574937951812c445f73096f763dca86b57a4153244f8667beb55bb16e",
-      "bytes": 55477,
-      "rows": 14,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/numina-000922-0000-445cba00b2cbd7f4.parquet",
-      "sha256": "445cba00b2cbd7f418ecdb055ffb7bf3b9a2756dca3c123246b55aee4965336d",
-      "bytes": 22058,
-      "rows": 1,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c8a54a9-84ac-52b2-a3cf-7a9efbf668b5",
     "numina:537de1c9-4160-5fb8-9553-dcf88d1dbb25",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004612.lean\",\"3bb2fac3d72def9f02ae395e8e5f3a0c45566228262f19d63df0f3a0ede22b16\",0,\"number_theory_15577\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004613.lean\",\"4fc65b3a9f57a92a608d90fc4067da70d01f1f0092a6c1834974bf43fe568b69\",0,\"algebra_13099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004614.lean\",\"1b81ae36847d3faa4cbe48c853a1f3da0a2da19eaba8b795340cb29d45724d15\",0,\"algebra_9290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55477,
+      "path": "data/train/p8c/numina-000922-0000-6d1583e574937951.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6d1583e574937951812c445f73096f763dca86b57a4153244f8667beb55bb16e"
+    },
+    {
+      "bytes": 22058,
+      "path": "data/internal_test/p8c/numina-000922-0000-445cba00b2cbd7f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "445cba00b2cbd7f418ecdb055ffb7bf3b9a2756dca3c123246b55aee4965336d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000923.json b/manifests/batches/numina/000923.json
index 3d929c031d14b98dd6f84c0a4cd659534fa32fef..5e9d7987db1c6e1df56ae220f4fc700ea6591ec5 100644
--- a/manifests/batches/numina/000923.json
+++ b/manifests/batches/numina/000923.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000923",
   "batch_fingerprint": "9bdd098fa442df07657ce5f14411f43c7e09428570d9c46c6912f9da0754bb1f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000923-0000-5fe115b7d3ca9a0b.parquet",
-      "sha256": "5fe115b7d3ca9a0b09ffc241da0474fde1a018b66229400ddcd6babe338a3cbd",
-      "bytes": 238090,
-      "rows": 31,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    },
-    {
-      "path": "data/internal_test/numina-000923-0000-53bde39b7ee06f62.parquet",
-      "sha256": "53bde39b7ee06f624a4e98b089dcfe10e6ef3bd4d1424d9e45d5609a4fed7569",
-      "bytes": 176657,
-      "rows": 3,
-      "revision": "ec3c304eda7f990e51e908ff6e9f3044838922af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1440a950-dd07-5543-9784-34ae25e35cd1",
     "numina:15088d7b-117c-5fed-813c-14e3ba8153a7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004617.lean\",\"1258189821d6296989f35ea0471e40bc59d6e53e3ace117e5e5a0f897a863142\",0,\"algebra_3274\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004618.lean\",\"03ceed76ed99c249500a8e5dbb9e63bd19071cf068987b74935c34b8f0714ff5\",0,\"algebra_610474\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004619.lean\",\"a50c85410b0dfe5b09c04f1806033c861efdfb43cb7ef1d37bfe5d9f6d191d16\",0,\"algebra_605586\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238090,
+      "path": "data/train/p8c/numina-000923-0000-5fe115b7d3ca9a0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5fe115b7d3ca9a0b09ffc241da0474fde1a018b66229400ddcd6babe338a3cbd"
+    },
+    {
+      "bytes": 176657,
+      "path": "data/internal_test/p8c/numina-000923-0000-53bde39b7ee06f62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "53bde39b7ee06f624a4e98b089dcfe10e6ef3bd4d1424d9e45d5609a4fed7569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000924.json b/manifests/batches/numina/000924.json
index df237581dddbde94b231baa1a7fda546d5755525..6e81d831d552bce5deb0897215eed9f27866d2b3 100644
--- a/manifests/batches/numina/000924.json
+++ b/manifests/batches/numina/000924.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000924",
   "batch_fingerprint": "1cc40d539e0203984a1a0688e266a7ce106a90da47c223a7fd090eea857abe07",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000924-0000-4495cb0195bcb60f.parquet",
-      "sha256": "4495cb0195bcb60f5a28dc55c443573022765427e77e9149591750059d06812b",
-      "bytes": 395643,
-      "rows": 18,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/numina-000924-0000-8f8a33ae25b309f9.parquet",
-      "sha256": "8f8a33ae25b309f933ea9f8c4001887ae9949308fde818bedf029a2911dfb636",
-      "bytes": 23875,
-      "rows": 1,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f5fdc1f-722c-5eeb-bbe2-396ed66f3188",
     "numina:4aa667b9-3a4b-55f6-9881-db3431a26749",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004622.lean\",\"799a85e1daadb088b6a10d8efb4aed423a8b28908fb8609c44ed51e2968dd575\",0,\"number_theory_97837\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004623.lean\",\"26c3ea8a885b6b26d9f7c9e0d2752c15aea3bd4f5812c05c9543919002bc4eab\",0,\"algebra_96904\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004624.lean\",\"4f487aedfedcd79bdbab14d59ebce3d82bdac4c2b2625635fb866ad6bac68e5c\",0,\"algebra_14920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395643,
+      "path": "data/train/pd5/numina-000924-0000-4495cb0195bcb60f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4495cb0195bcb60f5a28dc55c443573022765427e77e9149591750059d06812b"
+    },
+    {
+      "bytes": 23875,
+      "path": "data/internal_test/pd5/numina-000924-0000-8f8a33ae25b309f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8f8a33ae25b309f933ea9f8c4001887ae9949308fde818bedf029a2911dfb636"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000925.json b/manifests/batches/numina/000925.json
index ef3e7b579381253314a373d221d0750cba33dd90..a43b7939223ecfa2a3d5fde709c59564a2bedded 100644
--- a/manifests/batches/numina/000925.json
+++ b/manifests/batches/numina/000925.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000925",
   "batch_fingerprint": "2dff08d18c040315e2b92c5be275bcf1cdd3e78e3118523ac7a54cb60fb4a0aa",
   "evidence": {
@@ -48,22 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000925-0000-f7046131bcb52ebf.parquet",
-      "sha256": "f7046131bcb52ebfec32ee3b0bc023171d4e9ece64331519b027e41e48b8c936",
-      "bytes": 82087,
-      "rows": 14,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/internal_test/numina-000925-0000-73aaab73d88cb2f8.parquet",
-      "sha256": "73aaab73d88cb2f83444921fd0ce597c643d3f427ed9295d0066ae4cbeb582d3",
-      "bytes": 64176,
-      "rows": 14,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3fc75a3f-2962-5ce8-a459-31489653790a",
     "numina:42565c66-14ac-5245-8b53-b0895fea2e3f",
@@ -75,5 +59,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004627.lean\",\"b09d70d5e103aa5ed9739de14b9bf0a8b2e826e187ef06b7b4ac815ac96dee80\",0,\"algebra_14297\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004628.lean\",\"080f1c718160f68be6e77c74fd75e31f97e865e437c0657c0ee1e47251787eef\",0,\"number_theory_97859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004629.lean\",\"6587c2add683a6274bba02533501caf49ad09f090e329d393cbb353c3669d45b\",0,\"amc_algebra_1183\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82087,
+      "path": "data/train/p35/numina-000925-0000-f7046131bcb52ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f7046131bcb52ebfec32ee3b0bc023171d4e9ece64331519b027e41e48b8c936"
+    },
+    {
+      "bytes": 64176,
+      "path": "data/internal_test/p35/numina-000925-0000-73aaab73d88cb2f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "73aaab73d88cb2f83444921fd0ce597c643d3f427ed9295d0066ae4cbeb582d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000926.json b/manifests/batches/numina/000926.json
index bafd3d0805ebf2c6507898a6dee45bac0eabc214..f499a4a7976cad8ba1a7b0d03e6f2db4e469cd1d 100644
--- a/manifests/batches/numina/000926.json
+++ b/manifests/batches/numina/000926.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000926",
   "batch_fingerprint": "7efe70dd81b476154da9d100b58e7f440fc6df33b1acb8fcc85f99d1d249ed9b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000926-0000-27a6730c66a247bb.parquet",
-      "sha256": "27a6730c66a247bba01f9728671bedba1dceb1ec21d2bd47f97e169b02325308",
-      "bytes": 414983,
-      "rows": 14,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    },
-    {
-      "path": "data/dev/numina-000926-0000-f88e9314094a5ed3.parquet",
-      "sha256": "f88e9314094a5ed3165a9539b11dfa3216d873d672f811a3ae0b458b366b39d4",
-      "bytes": 21134,
-      "rows": 1,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7f87d930-2116-5341-a422-8686f334e075",
     "numina:c731bddd-949e-54f1-8b13-a832356d6696",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004632.lean\",\"4001f5f00a7d49e7aa85d54b2947e8b614b90f7a7079d65e4e5041262a121afe\",0,\"number_theory_6309\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004633.lean\",\"a0c0e75cc850bb51d42d62b12cf45f6e4acffc1d16cdc5a3297b79270b98608e\",0,\"algebra_597823\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004634.lean\",\"5fbea523061c5d57f29f93628c6f906e0a96d56f2d25988c0ab559410f60b69b\",0,\"number_theory_608461\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414983,
+      "path": "data/train/pbe/numina-000926-0000-27a6730c66a247bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "27a6730c66a247bba01f9728671bedba1dceb1ec21d2bd47f97e169b02325308"
+    },
+    {
+      "bytes": 21134,
+      "path": "data/dev/pbe/numina-000926-0000-f88e9314094a5ed3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f88e9314094a5ed3165a9539b11dfa3216d873d672f811a3ae0b458b366b39d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000927.json b/manifests/batches/numina/000927.json
index d14a82cb3bfdcf99cc30cfa367bab5d5dc2c7aff..590c691e83e5d42bde740433228cf129e3008a6d 100644
--- a/manifests/batches/numina/000927.json
+++ b/manifests/batches/numina/000927.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000927",
   "batch_fingerprint": "cb39056213a891025d658aa8bdebeba18e00d0308482688cebd8181ca6c58a46",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000927-0000-5db2ded03e40886e.parquet",
-      "sha256": "5db2ded03e40886ed99270bcc4e1094755675cca703b54749f295fe95df9b536",
-      "bytes": 492684,
-      "rows": 13,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/numina-000927-0000-c9a106a9a5a1e5f5.parquet",
-      "sha256": "c9a106a9a5a1e5f5268bf3230ebe0dc09c536d3890460a4f805dbfbe0722296a",
-      "bytes": 172079,
-      "rows": 11,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:087d3592-eabb-5d21-8b95-5fb329a66120",
     "numina:4f1f31b6-0c06-5d0c-b1cb-281226abce58",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004637.lean\",\"a6107967f5b2cd5a336e67087e75783fc3bb754bdd23e3f7886bee2b5fc09bf4\",0,\"sequence_evaluation\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004638.lean\",\"ffeeeeb7f704f0f8bb07db7c3ce415c89ae92e7129e0ea93ef9b3ff5481ed645\",0,\"algebra_19821\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004639.lean\",\"e52f123815d392890ca995076a280fa617b98ae42afa3ba12af8b3f96eea56ca\",0,\"number_theory_6821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492684,
+      "path": "data/train/p08/numina-000927-0000-5db2ded03e40886e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5db2ded03e40886ed99270bcc4e1094755675cca703b54749f295fe95df9b536"
+    },
+    {
+      "bytes": 172079,
+      "path": "data/internal_test/p08/numina-000927-0000-c9a106a9a5a1e5f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c9a106a9a5a1e5f5268bf3230ebe0dc09c536d3890460a4f805dbfbe0722296a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000928.json b/manifests/batches/numina/000928.json
index a6dc4510291cb1918d813241849503a1ccab0e35..a063826ea00e037936f62b1438cf3563f3ef03d2 100644
--- a/manifests/batches/numina/000928.json
+++ b/manifests/batches/numina/000928.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000928",
   "batch_fingerprint": "e2464c848bfa2dde5aeaea505074de6abf0f49afe3d74115debedf6810504f0e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000928-0000-5658b765ce022621.parquet",
-      "sha256": "5658b765ce0226216ec61bdcbf9ba1c08455a548eaf957ff67183aa4c834a6e6",
-      "bytes": 461801,
-      "rows": 37,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:127e2572-0631-5fc3-93f2-437427061b53",
     "numina:185bf34b-853f-5afd-a392-675d287adeab",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004642.lean\",\"1e371b55c67b5519b2e851e61990e51e17158b5d6418ade361b2485d57339556\",0,\"algebra_11529\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004643.lean\",\"edd71392e250fe0e3dc6948a4291a00c176139074bc083725b0457958458c8fc\",0,\"number_theory_1145\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004644.lean\",\"2e379731bb12e8822bc17946daffb9b78caa406085ac8b982a91dd74b870bcce\",0,\"algebra_16322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461801,
+      "path": "data/train/p18/numina-000928-0000-5658b765ce022621.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "5658b765ce0226216ec61bdcbf9ba1c08455a548eaf957ff67183aa4c834a6e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000929.json b/manifests/batches/numina/000929.json
index 5acd18b4e548a74f283230037ae5b555004c6096..1e715abd49deec73b1787145fac0e5172993b909 100644
--- a/manifests/batches/numina/000929.json
+++ b/manifests/batches/numina/000929.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000929",
   "batch_fingerprint": "870cbd088e6db5cc299fcf26ce76627a084d5094ad63117dd4bc60ca617343ae",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000929-0000-5594ba130f5ca826.parquet",
-      "sha256": "5594ba130f5ca82612ff5bf2371a4bf6ec4af70667cb683db81b7ed18eedfc5e",
-      "bytes": 227864,
-      "rows": 26,
-      "revision": "acb6730ff68eee5bbd2051e5c257d7986c6c806a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ed706c5-ad7a-5f1d-9066-f00875c73f65",
     "numina:3dcaaf3f-a3a9-526f-9ec4-c8c0260f7e92",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004647.lean\",\"152d2af00cc3d1a8d5efdd9d957754946706a8d271bcd2d194e3f7bf163fb3e8\",0,\"number_theory_604784\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004648.lean\",\"96b4d87b0976b62dd0e25ac022bb7911a7fc7c78b5b26b3b0a9917ecb50d647c\",0,\"number_theory_16327\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004649.lean\",\"534a773a546f9e2f76711305d9f6d9bb43fd8cc22b2a93177d01247a2d824280\",0,\"algebra_12959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227864,
+      "path": "data/train/p90/numina-000929-0000-5594ba130f5ca826.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5594ba130f5ca82612ff5bf2371a4bf6ec4af70667cb683db81b7ed18eedfc5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000930.json b/manifests/batches/numina/000930.json
index 7aed2e0015f0f50231b57d390e69259a07957b5d..731b7701435a5474544e146e560cc26b8bbcee71 100644
--- a/manifests/batches/numina/000930.json
+++ b/manifests/batches/numina/000930.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000930",
   "batch_fingerprint": "bd32ec56bf47422b399065850dc906be8a83430437f468ce7c89c4be85f7b5aa",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000930-0000-8a019696d0f3fc26.parquet",
-      "sha256": "8a019696d0f3fc2666d1440742782f82d036e2a67f696611233d0d3c1ee0d1f4",
-      "bytes": 685154,
-      "rows": 36,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/train/numina-000930-0001-c9da289f56e18a99.parquet",
-      "sha256": "c9da289f56e18a99708092dd2b070f1cba7cbfe11c085c7237fea3686e74b569",
-      "bytes": 109873,
-      "rows": 3,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f1eaa04-2789-59b4-8fe9-e0d04ecd2ab9",
     "numina:6e98ad25-92ea-5821-bfa4-f99f79e5e1ba",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004652.lean\",\"af002855f3dab382ecfc121be7c16503745535e427bcb0f7e49097801c971242\",0,\"number_theory_605929\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004653.lean\",\"befbf3008fa0fdc3fac564abb9f7e3cdaf9705c1650c2e07c3c408ebb212e3da\",0,\"algebra_57209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004654.lean\",\"61b59d75201b59dec8881472a90852322cfbdc0a7263aeb472a213503ef0e712\",0,\"algebra_94294\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 685154,
+      "path": "data/train/pe0/numina-000930-0000-8a019696d0f3fc26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "8a019696d0f3fc2666d1440742782f82d036e2a67f696611233d0d3c1ee0d1f4"
+    },
+    {
+      "bytes": 109873,
+      "path": "data/train/pe0/numina-000930-0001-c9da289f56e18a99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c9da289f56e18a99708092dd2b070f1cba7cbfe11c085c7237fea3686e74b569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000931.json b/manifests/batches/numina/000931.json
index 7b1ed313e3b576d870711cfbc6f81a2a3176aeb2..e3f3b32d0632383ee4805575203cab7f9f89657c 100644
--- a/manifests/batches/numina/000931.json
+++ b/manifests/batches/numina/000931.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000931",
   "batch_fingerprint": "173c498393af75914441d31c60f5ef20ee94aab1f7f41678125a39698aad6f7a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000931-0000-a473da3a47e6475e.parquet",
-      "sha256": "a473da3a47e6475e7e05e2d6873746f41cc89049e27d6110022d3f73d10d49d2",
-      "bytes": 537691,
-      "rows": 24,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/train/numina-000931-0001-facdcd67d260f703.parquet",
-      "sha256": "facdcd67d260f703a84fb45db9aa8bb666dde7253447efd280e3eb3a97638791",
-      "bytes": 135904,
-      "rows": 15,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    },
-    {
-      "path": "data/internal_test/numina-000931-0000-f0d1cc4f5aef3735.parquet",
-      "sha256": "f0d1cc4f5aef373587f59c5db2953ffc28ac6afce256dc12234fa1da65f8fe78",
-      "bytes": 38865,
-      "rows": 4,
-      "revision": "5b22d516939030ea4f12cec1df2669730fa5dd18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14f9e83d-2cb6-57b3-a010-1b5a51ad116d",
     "numina:3584d45f-cc81-5ca8-94c9-df2003c56599",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004657.lean\",\"f3ddbe061b968487a86230249ab66be9d880d6e0792358e74e719b5356bc7372\",0,\"algebra_14247\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004658.lean\",\"934b7ac504349a67b670c1a43ae3084241b0e753183cf582fda2ca2656202e74\",0,\"algebra_12508\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004659.lean\",\"3d2fdac3d658870ab0b39f2f6dc368fd44e6d924a28241a6325efbe86b63593c\",0,\"number_theory_5438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 537691,
+      "path": "data/train/p0f/numina-000931-0000-a473da3a47e6475e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a473da3a47e6475e7e05e2d6873746f41cc89049e27d6110022d3f73d10d49d2"
+    },
+    {
+      "bytes": 135904,
+      "path": "data/train/p0f/numina-000931-0001-facdcd67d260f703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "facdcd67d260f703a84fb45db9aa8bb666dde7253447efd280e3eb3a97638791"
+    },
+    {
+      "bytes": 38865,
+      "path": "data/internal_test/p0f/numina-000931-0000-f0d1cc4f5aef3735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f0d1cc4f5aef373587f59c5db2953ffc28ac6afce256dc12234fa1da65f8fe78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000932.json b/manifests/batches/numina/000932.json
index fc89003f436f7873bbee5bdeec29b42df8da4ce6..09b84f986e0f8dde37c28ddd08b46aa3d820e447 100644
--- a/manifests/batches/numina/000932.json
+++ b/manifests/batches/numina/000932.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000932",
   "batch_fingerprint": "9d173e93965b736b4c527893214c43fb0d21330b1c402d130b00d60fbb1c6a14",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000932-0000-cee1ba7177843062.parquet",
-      "sha256": "cee1ba71778430626074df1cacba475e8c260356f761f96c9cd1a3c4eb5fd47b",
-      "bytes": 433488,
-      "rows": 50,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/internal_test/numina-000932-0000-ce7a1d990347a051.parquet",
-      "sha256": "ce7a1d990347a051347610288bf0b951e7f55faaf897669df24670dfee64133f",
-      "bytes": 106505,
-      "rows": 3,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:350bc171-3fcf-5070-8276-ea7bbfa29d61",
     "numina:57b1a574-c1c0-5574-b1c6-915d77f4efc7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004662.lean\",\"8550a37dcd564a7399f144b5be4ddc5921df5d4b43f958c047a6796aa51178e4\",0,\"algebra_9250\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004663.lean\",\"6e6008c711f915f235eff6922ab5cdf32423fd6cb9d5599896d019ef887115c7\",0,\"number_theory_93551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004664.lean\",\"68ab5b927dccb55e8a59c6455da5dc6fa6f22a0a3fa0a459f508347f51743686\",0,\"algebra_609391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433488,
+      "path": "data/train/p9a/numina-000932-0000-cee1ba7177843062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "cee1ba71778430626074df1cacba475e8c260356f761f96c9cd1a3c4eb5fd47b"
+    },
+    {
+      "bytes": 106505,
+      "path": "data/internal_test/p9a/numina-000932-0000-ce7a1d990347a051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce7a1d990347a051347610288bf0b951e7f55faaf897669df24670dfee64133f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000933.json b/manifests/batches/numina/000933.json
index 7c8fcb4ef45b1bf3c93b6c251c12da9784dddfab..c9d969533527675e8d40fd147aea37682b589234 100644
--- a/manifests/batches/numina/000933.json
+++ b/manifests/batches/numina/000933.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000933",
   "batch_fingerprint": "8e0d73d7e81ed55b5bf7f0e73176c48e85e3ca74af7b86f3b82911bcdb9ed73b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000933-0000-39c5c218b3595aa6.parquet",
-      "sha256": "39c5c218b3595aa6649bd00c4a36075d63371ee4137004321d4798ddf568ebb6",
-      "bytes": 619801,
-      "rows": 43,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/train/numina-000933-0001-2eb766609a181119.parquet",
-      "sha256": "2eb766609a181119fa0fd6d1ae90251476ef4059bace1749a78153af7c13a6fc",
-      "bytes": 537400,
-      "rows": 28,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c573162-2573-5e95-9a20-7180de94f4f3",
     "numina:8ce188bd-a804-58e0-9a41-eac7514dfec1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004667.lean\",\"f548f7c83b8ff1f2d99a199125906496e433b2a7bc75a55c533ffdb601cfbe9c\",0,\"alg_1204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004668.lean\",\"f2b65326939233abf3d53e33250caeacce1dd58fa47e9d05684dd721c0a29f53\",0,\"algebra_606204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004669.lean\",\"f2aa64e72cc859eb840317589c0acf00e7a674f90a9898f27fb93b0f5fe7cb4f\",0,\"algebra_15741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619801,
+      "path": "data/train/pd8/numina-000933-0000-39c5c218b3595aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "39c5c218b3595aa6649bd00c4a36075d63371ee4137004321d4798ddf568ebb6"
+    },
+    {
+      "bytes": 537400,
+      "path": "data/train/pd8/numina-000933-0001-2eb766609a181119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "2eb766609a181119fa0fd6d1ae90251476ef4059bace1749a78153af7c13a6fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000934.json b/manifests/batches/numina/000934.json
index 1c53de99936dd06c35ea3bcf005f358125cf158c..0fc0e956cd89f8ab175ea9418ec8159f62d6d338 100644
--- a/manifests/batches/numina/000934.json
+++ b/manifests/batches/numina/000934.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000934",
   "batch_fingerprint": "67912bc0ba2f27bbe7cb973d163e197d2c67d7fe9acddebdeb1eb81b7489c757",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000934-0000-febdbbf96cc1d909.parquet",
-      "sha256": "febdbbf96cc1d909094b83821c0b257ff0bfdb7d3fc804ac2ae72e87b4012311",
-      "bytes": 412357,
-      "rows": 67,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f3deadd-cf9d-5cfa-affe-5a3912dfc394",
     "numina:2e1ddb48-bfbf-5c4f-81db-0299219d9dae",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004672.lean\",\"bb1bdab9bf14623c06c601faca2216a870f32e15db43fd885e2bfbfe8d471938\",0,\"algebra_13890\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004673.lean\",\"09f2c0bad1743093389af2b8e532183e57b4497adf6b57cfe7335cf54cf4b7ce\",0,\"number_theory_14336\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004674.lean\",\"c29a68e6a4476d232b7215f46ba5408f6522a69a2fcb0a85f8053fbec97d9a17\",0,\"algebra_9256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412357,
+      "path": "data/train/p79/numina-000934-0000-febdbbf96cc1d909.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "febdbbf96cc1d909094b83821c0b257ff0bfdb7d3fc804ac2ae72e87b4012311"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000935.json b/manifests/batches/numina/000935.json
index 68cef05622707b00df4c975c522271b08f8f245f..03a377afcb7d4979aa8ded9a34c6ba791510a450 100644
--- a/manifests/batches/numina/000935.json
+++ b/manifests/batches/numina/000935.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000935",
   "batch_fingerprint": "d37ca155df0407f2baf9f31713e7a484fffb8a79a188da7156a9e6a21138b843",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000935-0000-96cca0899c164b81.parquet",
-      "sha256": "96cca0899c164b816d373d308c9e1fe9b92acc0eb0c605a6fa34638f9c708f19",
-      "bytes": 614249,
-      "rows": 35,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/train/numina-000935-0001-09c4b66016cfc9ac.parquet",
-      "sha256": "09c4b66016cfc9acd2d3e60847eb7e18997fa069959d2290c9a3373ae0da2909",
-      "bytes": 654150,
-      "rows": 28,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    },
-    {
-      "path": "data/train/numina-000935-0002-ebeec9f8a5cacca8.parquet",
-      "sha256": "ebeec9f8a5cacca80598f089e5f034745d508e8eae1db3c64a3a2ac33afd8f92",
-      "bytes": 105723,
-      "rows": 8,
-      "revision": "da41c00894689f4ed2e5c93f9857bc3d3ba5965f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05bb3001-34b1-5901-9db8-af96e1bd2673",
     "numina:37b794c8-d3d8-556a-b4be-58cf29d31eff",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004677.lean\",\"96ed9ef2a6c9583a1cf9605ccf1c368a7d126dff2b367fdad7995bd16e2b5a2b\",0,\"algebra_21130\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004678.lean\",\"e0ddc82ff6f65561c6b08639dffcfd9f79da726ed225925275b782af66239ea9\",0,\"inequalities_607967\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004679.lean\",\"b7e674d98a8616fe370d165fef2139a36c8df0753dccefc70bc1898ef67523a5\",0,\"number_theory_4864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 614249,
+      "path": "data/train/p71/numina-000935-0000-96cca0899c164b81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "96cca0899c164b816d373d308c9e1fe9b92acc0eb0c605a6fa34638f9c708f19"
+    },
+    {
+      "bytes": 654150,
+      "path": "data/train/p71/numina-000935-0001-09c4b66016cfc9ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "09c4b66016cfc9acd2d3e60847eb7e18997fa069959d2290c9a3373ae0da2909"
+    },
+    {
+      "bytes": 105723,
+      "path": "data/train/p71/numina-000935-0002-ebeec9f8a5cacca8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ebeec9f8a5cacca80598f089e5f034745d508e8eae1db3c64a3a2ac33afd8f92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000936.json b/manifests/batches/numina/000936.json
index 2c409b2b154c4b902cc1faa840ebeaaf76b04cc9..36893dd8e2fc736bc1d909e0b1e0f82fe785bce0 100644
--- a/manifests/batches/numina/000936.json
+++ b/manifests/batches/numina/000936.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000936",
   "batch_fingerprint": "b2b5c0a182bcfb73e3d57153a79a40b4e5de49f72d0b29ab157f8eba4188c640",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000936-0000-22731bc7b631e42e.parquet",
-      "sha256": "22731bc7b631e42ed07bf5c198653d4b2b86b36afa8e9363cac9c868a9887376",
-      "bytes": 159701,
-      "rows": 23,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3f7b4224-7165-53ed-9eda-1f92f6f68067",
     "numina:68f68549-a412-59a4-9c57-ac5640aeb4d5",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004682.lean\",\"b28bad6813858bfa242b08eb9c2aaf4be0457e1ac2ec62bb681a00d6a8a5dc00\",0,\"inequalities_606131\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004683.lean\",\"6c15cd9dc390306e5aa0131a41f063b65ef022df88c61f95ef7971d46885f420\",0,\"algebra_93631\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004684.lean\",\"4fe296e01fcba0b3611b13363781577b8288d0770f6285b6169181c6fd7697fb\",1,\"number_theory_4865_3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159701,
+      "path": "data/train/pdc/numina-000936-0000-22731bc7b631e42e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "22731bc7b631e42ed07bf5c198653d4b2b86b36afa8e9363cac9c868a9887376"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000937.json b/manifests/batches/numina/000937.json
index ef90459f59d563707935cbfd8c538131af26dba9..91e1f6475d7d2553836f7c742794170fdf1b14cf 100644
--- a/manifests/batches/numina/000937.json
+++ b/manifests/batches/numina/000937.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000937",
   "batch_fingerprint": "acc83105fcbf6892cf06cf912a82d4ada716b4324355d84623830fa1d05f6ffa",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000937-0000-14455c732b793a12.parquet",
-      "sha256": "14455c732b793a12b35d1c7837688366c09224199dd9d71c61de469a1df0875d",
-      "bytes": 102589,
-      "rows": 21,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/numina-000937-0000-f223d75b488d4f6f.parquet",
-      "sha256": "f223d75b488d4f6f81c740baaaf605fb3c4ddb672de21b8b10cdfc71c724c00e",
-      "bytes": 65871,
-      "rows": 4,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1916a95d-0a67-5e84-a272-65e297638922",
     "numina:2bce1747-ab21-51b2-91be-ff459e9e2cf4",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004686.lean\",\"4c2b8a88ff9c01e2cd84820a370f01baff57158debc29bea4b7c4603e42293c6\",0,\"algebra_93632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004687.lean\",\"d3ca0f045aa2500342a007e58be19cd97231ebcf1960d84ed3e61609f1112e44\",0,\"algebra_9265\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004689.lean\",\"c9030bf6fdc8633480126fa4aad250920d3188fdd0c126de2e0f53bce6a89e6a\",0,\"algebra_12978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102589,
+      "path": "data/train/p75/numina-000937-0000-14455c732b793a12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "14455c732b793a12b35d1c7837688366c09224199dd9d71c61de469a1df0875d"
+    },
+    {
+      "bytes": 65871,
+      "path": "data/dev/p75/numina-000937-0000-f223d75b488d4f6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f223d75b488d4f6f81c740baaaf605fb3c4ddb672de21b8b10cdfc71c724c00e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000938.json b/manifests/batches/numina/000938.json
index 4066561bd9bc85a8cb9053a07ebd92e4cccbe02d..05e53b6183212396a4ed096d2f4127abf02e8563 100644
--- a/manifests/batches/numina/000938.json
+++ b/manifests/batches/numina/000938.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000938",
   "batch_fingerprint": "b7f422d9bfb15209dd7118c79fc3f82c0bb4bca06b32fe07f301d3474ee0a328",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000938-0000-46b70f15d77cd3f9.parquet",
-      "sha256": "46b70f15d77cd3f97258e627635cbd9591fb008584ef125cc982c95ca4c3773d",
-      "bytes": 207882,
-      "rows": 30,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e7eedf0-c19b-58d3-b478-45855c1bcbf3",
     "numina:26684fb4-b532-587b-97ec-d2b2c5dbce93",
@@ -59,5 +50,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004691.lean\",\"10fab9912452a8931bd7d977b3e40a9364bfdae10a3c34da557c04257ec7502b\",1,\"Algebra_608206\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004693.lean\",\"29f4e6c85a72bf1fffacb365e1520fd5653e96ac8666985b0a325a9355845ff2\",0,\"number_theory_617744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004694.lean\",\"54d593805cac26be44a9496507dc8fbd697bd41b593b23a595a6dfb1aebce9c9\",0,\"number_theory_4876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207882,
+      "path": "data/train/p61/numina-000938-0000-46b70f15d77cd3f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "46b70f15d77cd3f97258e627635cbd9591fb008584ef125cc982c95ca4c3773d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000939.json b/manifests/batches/numina/000939.json
index c1ed25a5dcb777dd41c2dc8f47425ea3a2c270b1..97911993a5c40920e78b9966f55b0deeb0d6411b 100644
--- a/manifests/batches/numina/000939.json
+++ b/manifests/batches/numina/000939.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000939",
   "batch_fingerprint": "1a723842423d4430e8406caf9b893645445f9b97901c995d4d9c6892640d9eb0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000939-0000-f421d1248aa2fdc1.parquet",
-      "sha256": "f421d1248aa2fdc1cc6ff62800883c3a62e3e6917824c8fb7062e4320af23fc4",
-      "bytes": 219233,
-      "rows": 18,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    },
-    {
-      "path": "data/dev/numina-000939-0000-167ce74be020fb52.parquet",
-      "sha256": "167ce74be020fb527789c0c061d6af61bd6a3fb5bf5ca6f9fc6fb8d1dc1275ee",
-      "bytes": 93620,
-      "rows": 6,
-      "revision": "e043dc4d917fe4c71c7578e164285142b799bbab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3614f10c-84a9-5c8c-a5e2-9f6acc6ac8f4",
     "numina:5b255c96-d0c0-5ce5-a66a-00e0cf536ce4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004697.lean\",\"d41ca2215734ac3155d3553f3a91bae7d06e0f87a1df2b157d39052c0bf0de1a\",0,\"algebra_12983\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004698.lean\",\"9f81f1f759e8df72951587a1fa2adf5047317c2cb205953defc8894b7764eab9\",0,\"number_theory_19209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004699.lean\",\"3a7a61d99d969dab1e63ee0d8e6b515d4233dcf8f8e65959f9fb97cbbe64873a\",0,\"algebra_277724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219233,
+      "path": "data/train/pbb/numina-000939-0000-f421d1248aa2fdc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f421d1248aa2fdc1cc6ff62800883c3a62e3e6917824c8fb7062e4320af23fc4"
+    },
+    {
+      "bytes": 93620,
+      "path": "data/dev/pbb/numina-000939-0000-167ce74be020fb52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "167ce74be020fb527789c0c061d6af61bd6a3fb5bf5ca6f9fc6fb8d1dc1275ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000940.json b/manifests/batches/numina/000940.json
index 01b3c8721c86291bb7b27abe9076f5fffa2969d6..1eca9077a2c6c7d60883d39322053d491bde4172 100644
--- a/manifests/batches/numina/000940.json
+++ b/manifests/batches/numina/000940.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000940",
   "batch_fingerprint": "24e6ee90c8005ad24f0faa1caa5d23348911ab707e8a2c145a0023d21a1140f4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000940-0000-f442a6b0259c2597.parquet",
-      "sha256": "f442a6b0259c25977a7cd3bfaf4c2ff4f56f50910eb3fb477d49f4c9da77f5fd",
-      "bytes": 131019,
-      "rows": 15,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/numina-000940-0000-14e1070570112882.parquet",
-      "sha256": "14e1070570112882bb0b6e5cb0b8799a0174cd0f0d11542a576e9775fb9beec5",
-      "bytes": 24192,
-      "rows": 1,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bfb39c9-216f-5936-bebc-a8a51ec4ae2b",
     "numina:58860281-63d0-5664-990f-4c5d0dbf9367",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004702.lean\",\"5a41688c2ae34f3008e33ebb7256a18e28b1ae0be4400e9327128bf6250e9dec\",0,\"algebra_14273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004703.lean\",\"a274de12bfec436d7db9d090cb42d7e7912d53dc452139b9a47dc891605e4498\",0,\"algebra_15713\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004704.lean\",\"521d53749a3cf61a076a3f2a1a2148ab25cbf9ac05d155e81744c5d52c952eda\",0,\"inequalities_239823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131019,
+      "path": "data/train/p92/numina-000940-0000-f442a6b0259c2597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f442a6b0259c25977a7cd3bfaf4c2ff4f56f50910eb3fb477d49f4c9da77f5fd"
+    },
+    {
+      "bytes": 24192,
+      "path": "data/internal_test/p92/numina-000940-0000-14e1070570112882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "14e1070570112882bb0b6e5cb0b8799a0174cd0f0d11542a576e9775fb9beec5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000941.json b/manifests/batches/numina/000941.json
index 3ae4db806a1df948bfa598e3a4f0baafbeec289e..9aa78e21d86f0e3aa691e8adda0b7e6f8e70bf19 100644
--- a/manifests/batches/numina/000941.json
+++ b/manifests/batches/numina/000941.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000941",
   "batch_fingerprint": "dce8a3b9a510474e39d0fd8a71528a5cfd278fbd40d511048b706bc38434314d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000941-0000-004961b2f936c284.parquet",
-      "sha256": "004961b2f936c2841a9e7e88096ff7fe58ba98d8eb03b3887c0c0d881d976b8f",
-      "bytes": 43152,
-      "rows": 5,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/train/numina-000941-0001-510e42d09c855ab0.parquet",
-      "sha256": "510e42d09c855ab025f139906168f687b17c157948861fdacab30b6062c296e1",
-      "bytes": 1325071,
-      "rows": 1,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    },
-    {
-      "path": "data/train/numina-000941-0002-64e1b7a46b7114ee.parquet",
-      "sha256": "64e1b7a46b7114eeac57f060cc85cee98ece084d78ba063f6a9e93f6e1f5f614",
-      "bytes": 92436,
-      "rows": 8,
-      "revision": "98dc5dd5f5ba1475d9c95430af43875e0c6961a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0deb533d-1cea-5e2d-9526-609486dd5d88",
     "numina:7c11a2d3-3a6b-5a27-95b4-a5614a070592",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004707.lean\",\"e6c47bcde6ad2c818618d34ac710e1792c9bac3f854bad42ec7fafe450664559\",0,\"calculus_1180\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004708.lean\",\"4e4176b84709bf84f76b3a15c335cf0a9ac2c9380bc53f8bc8734a8bd0ad89d0\",0,\"algebra_10408\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004709.lean\",\"f059ffb170fae03bc10fac640f1acc620fece853f9f769c6ba4b18c275ee0280\",0,\"number_theory_609179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43152,
+      "path": "data/train/p31/numina-000941-0000-004961b2f936c284.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "004961b2f936c2841a9e7e88096ff7fe58ba98d8eb03b3887c0c0d881d976b8f"
+    },
+    {
+      "bytes": 1325071,
+      "path": "data/train/p31/numina-000941-0001-510e42d09c855ab0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "510e42d09c855ab025f139906168f687b17c157948861fdacab30b6062c296e1"
+    },
+    {
+      "bytes": 92436,
+      "path": "data/train/p31/numina-000941-0002-64e1b7a46b7114ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "64e1b7a46b7114eeac57f060cc85cee98ece084d78ba063f6a9e93f6e1f5f614"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000942.json b/manifests/batches/numina/000942.json
index 20022d83ee8be75cbf86c3839f84dbdd672b6437..867e2b3bf32891ad59515ac02eed00bce774f6d3 100644
--- a/manifests/batches/numina/000942.json
+++ b/manifests/batches/numina/000942.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000942",
   "batch_fingerprint": "edaf1fbcf4c0045b4571b7c5401ca3d89afbb369a5f34a34f221bbbc2a8ad773",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000942-0000-83336e05dac7c58f.parquet",
-      "sha256": "83336e05dac7c58faf40428037401ce7c8c6d15275f84293ed6bbda2ecd9af61",
-      "bytes": 133168,
-      "rows": 27,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/numina-000942-0000-c129d3d0093510ef.parquet",
-      "sha256": "c129d3d0093510efce0b7cfb4fd78f51b4334dd4c99a0c49595e94b455cf176d",
-      "bytes": 257282,
-      "rows": 17,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/numina-000942-0000-97f5a06a658895ed.parquet",
-      "sha256": "97f5a06a658895ed4bcc44060b87b03212c888a780d763885f3036871f6a1583",
-      "bytes": 185001,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b7ad5b2-8222-57a6-83e2-f4fe8d216583",
     "numina:2113375c-fd9e-5ce3-aea7-db51c8447fae",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004712.lean\",\"a30f560e61b5f6989206e146fdc7134d9eeba2b127ea8e5fdd366731d4266829\",0,\"algebra_10410\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004713.lean\",\"1ff8d885712064b7d6e86a13cbc602c32ac6c09461629e5bc1245a94a28e2049\",0,\"number_theory_607429\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004714.lean\",\"0255b46c0c9c7fd3fade287899b170b8b75d9d200fd519ec65da90f767d10cd2\",0,\"AIME_Number_Theory_728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133168,
+      "path": "data/train/p5d/numina-000942-0000-83336e05dac7c58f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "83336e05dac7c58faf40428037401ce7c8c6d15275f84293ed6bbda2ecd9af61"
+    },
+    {
+      "bytes": 257282,
+      "path": "data/dev/p5d/numina-000942-0000-c129d3d0093510ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c129d3d0093510efce0b7cfb4fd78f51b4334dd4c99a0c49595e94b455cf176d"
+    },
+    {
+      "bytes": 185001,
+      "path": "data/internal_test/p5d/numina-000942-0000-97f5a06a658895ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "97f5a06a658895ed4bcc44060b87b03212c888a780d763885f3036871f6a1583"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000943.json b/manifests/batches/numina/000943.json
index 9858996c8dcc97d26244bdb77cecd756f3671165..af4f1017c61d08b51faca7a56d3d6abcb44fdc4b 100644
--- a/manifests/batches/numina/000943.json
+++ b/manifests/batches/numina/000943.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000943",
   "batch_fingerprint": "2fb83fe35adf54136f8d686888e69279db10a7437ecadca1515a119c49cf3c75",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000943-0000-016fd034cef184b7.parquet",
-      "sha256": "016fd034cef184b76c47af139622fb3287b444ed11895401ce7ea0f1cc17ec4d",
-      "bytes": 219299,
-      "rows": 35,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/dev/numina-000943-0000-d9b31582e4d31674.parquet",
-      "sha256": "d9b31582e4d31674f504906036f8d2bf1d9a72ba2d4adb53b7676116de7aebc7",
-      "bytes": 31089,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1624ec0b-9f75-54f8-82a0-bba9c550f280",
     "numina:29026683-4e48-58ed-840c-71287b3a3ac1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004717.lean\",\"a61db2bdb866780642b6296e5f8df1e997ccd775102e2caf1acd2cd9bb66b76a\",0,\"inequalities_120835\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004718.lean\",\"3d91370fe8ef17b73aeafa76a9b5e513e26e67ff9488c41029f0816d24a028d5\",0,\"algebra_16650\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004719.lean\",\"dc67046d48210c58afe277f85594fba106c44df1adc95702860b433e91ab9f0f\",0,\"algebra_14420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219299,
+      "path": "data/train/p3d/numina-000943-0000-016fd034cef184b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "016fd034cef184b76c47af139622fb3287b444ed11895401ce7ea0f1cc17ec4d"
+    },
+    {
+      "bytes": 31089,
+      "path": "data/dev/p3d/numina-000943-0000-d9b31582e4d31674.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d9b31582e4d31674f504906036f8d2bf1d9a72ba2d4adb53b7676116de7aebc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000944.json b/manifests/batches/numina/000944.json
index df99223cd2e48ddff46a86322f2e4f934945fcae..e5ec4d55ae3e13c5f885c7a63c653004ecaaf2f9 100644
--- a/manifests/batches/numina/000944.json
+++ b/manifests/batches/numina/000944.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000944",
   "batch_fingerprint": "94cda9d0a9cc0a30a2a056d5c96110e484251608dd3f46106f89629bfe6979db",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000944-0000-13c4e86975075776.parquet",
-      "sha256": "13c4e86975075776b36736ffd72b078d4199d4152f0b489d263065bf8c7b9728",
-      "bytes": 87066,
-      "rows": 13,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/numina-000944-0000-529cd954a76e776f.parquet",
-      "sha256": "529cd954a76e776f5a581f2d3709a4a1b3138a2d753a4923a7ba11d9bd432e7c",
-      "bytes": 77412,
-      "rows": 24,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:171e8749-db2a-5b03-bac8-119066fe3c72",
     "numina:609a1b34-4380-522d-9ab3-c5660c0d2779",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004722.lean\",\"35a4160c60e33c08933b9bd6a638c771ee0899b0b19eff9d9184f4d6917d8270\",0,\"algebra_19399\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004723.lean\",\"d013191f9173dfc1e6b0c22f7f048e4b8592c8daf2277f09f9413f506974b271\",0,\"algebra_273359\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004724.lean\",\"ab7807fe563c31af8b258c335a64d7e2399fa5eb7580be8bb909fe533211c04c\",0,\"algebra_96805\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87066,
+      "path": "data/train/p20/numina-000944-0000-13c4e86975075776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "13c4e86975075776b36736ffd72b078d4199d4152f0b489d263065bf8c7b9728"
+    },
+    {
+      "bytes": 77412,
+      "path": "data/internal_test/p20/numina-000944-0000-529cd954a76e776f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "529cd954a76e776f5a581f2d3709a4a1b3138a2d753a4923a7ba11d9bd432e7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000945.json b/manifests/batches/numina/000945.json
index bfec12e650acabe35d4b025ad4faaa7a6b9d5e1e..43350f078a94756761cffc1be2e798d95cda543c 100644
--- a/manifests/batches/numina/000945.json
+++ b/manifests/batches/numina/000945.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000945",
   "batch_fingerprint": "0e809e8a4a0581e9a09fdf9a21ab5199472cd303e98d055ca160fa88bf2b02e7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000945-0000-d5e9dad4b0d14fe3.parquet",
-      "sha256": "d5e9dad4b0d14fe3c88a2ff23f87a60700d47e9713753b4ad474db2780adb994",
-      "bytes": 549339,
-      "rows": 54,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:794e18c6-72eb-51c3-9329-c5bc29734964",
     "numina:7e17d55e-8eb9-5190-adf7-a2db784765da",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004727.lean\",\"f6099eeab2cc1f5b0c39a0fc17b842c45b90269544c524aea35395e8d211f033\",0,\"algebra_15367\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004728.lean\",\"61b92d4b8109cddb25358560cb3eb10508108b13ccb1be0f71602cc1bd46d30b\",0,\"number_theory_270930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004729.lean\",\"e4348780460043ae306fb5ca36a3006e8baaec28ea3d34821805031ecc5c8b2f\",0,\"inequalities_276965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 549339,
+      "path": "data/train/p29/numina-000945-0000-d5e9dad4b0d14fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "d5e9dad4b0d14fe3c88a2ff23f87a60700d47e9713753b4ad474db2780adb994"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000946.json b/manifests/batches/numina/000946.json
index 4efab3f31fca1825f69fd9a9ffbb93417ab6bdcb..54ad931468a7405ef251156e768b05d6b6dcd09c 100644
--- a/manifests/batches/numina/000946.json
+++ b/manifests/batches/numina/000946.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000946",
   "batch_fingerprint": "8b032633249f3fb1aaa2235b4737f10bf9daacb804259c23d400276e83ebddb1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000946-0000-4c533596f45aa284.parquet",
-      "sha256": "4c533596f45aa2848630773c110555caae29112e266d9886206f6c1f9aa95a9c",
-      "bytes": 131377,
-      "rows": 23,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/numina-000946-0000-1d52d047c47a697b.parquet",
-      "sha256": "1d52d047c47a697b55b18df415d1a8d3fc4e01a462f5608e354fefdd05ed80c9",
-      "bytes": 22921,
-      "rows": 1,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1fdf0158-8a18-5c23-9bd6-3dd9b282a0ec",
     "numina:70e22c59-3282-5b85-8fc4-78efa01e660e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004732.lean\",\"0f04669960a5aa0997bce337f4ef657a71a8527095f363d6d007faf1e715160c\",0,\"number_theory_234660\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004733.lean\",\"0e5270987c4aec999378c2c186c1e0b7148153f6968eb89d6eaff49cf67c3b33\",0,\"inequalities_57472\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004734.lean\",\"7c781bf2cab02d98ef07d861667f33848763ad87e32ca0fad88572c27a4f22f4\",0,\"algebra_607820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131377,
+      "path": "data/train/p6c/numina-000946-0000-4c533596f45aa284.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "4c533596f45aa2848630773c110555caae29112e266d9886206f6c1f9aa95a9c"
+    },
+    {
+      "bytes": 22921,
+      "path": "data/internal_test/p6c/numina-000946-0000-1d52d047c47a697b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "1d52d047c47a697b55b18df415d1a8d3fc4e01a462f5608e354fefdd05ed80c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000947.json b/manifests/batches/numina/000947.json
index 14b3ee7a8a2fbc4aaafe45aed0aecf70340d1b15..822d1739f334df635b43e6083d9ceb49c76313be 100644
--- a/manifests/batches/numina/000947.json
+++ b/manifests/batches/numina/000947.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000947",
   "batch_fingerprint": "7e9140a3260169b0aa4d0792589b490054157e13e2241cee0b45c92ace099949",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000947-0000-5bf3e611a136ec50.parquet",
-      "sha256": "5bf3e611a136ec503cddc03efc0fd44a19fa39fc698b15a4c4e39c20e0b91d3a",
-      "bytes": 152828,
-      "rows": 26,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    },
-    {
-      "path": "data/internal_test/numina-000947-0000-f7231a5395d0cde2.parquet",
-      "sha256": "f7231a5395d0cde2fdd08b894ac5f4804c36adbe2aa144f246ba07e36e23ce50",
-      "bytes": 41335,
-      "rows": 4,
-      "revision": "a442d5f0ef7cc39d9ce753f226b99f0d80364045"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a08986a-128b-56aa-b2d8-7c040bf52c12",
     "numina:7c1274fc-85d5-55a2-83bc-ace5c12a2294",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004737.lean\",\"53c4dd9856899478fe1b6976f2a04f9a8e6a9f96ffa520e1e7bb542bb28f912e\",0,\"algebra_1181\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004738.lean\",\"be8ad8058c36ff9eb6e236324d4f30a720df3ce66a81a5dd750c0f2f9b4e6d94\",0,\"algebra_8978\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004739.lean\",\"52d21eb4eb81a598f68f8df2b90594c7f0f00d6cdc4d5a81d05c5d094002cac3\",0,\"number_theory_604458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152828,
+      "path": "data/train/p8b/numina-000947-0000-5bf3e611a136ec50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5bf3e611a136ec503cddc03efc0fd44a19fa39fc698b15a4c4e39c20e0b91d3a"
+    },
+    {
+      "bytes": 41335,
+      "path": "data/internal_test/p8b/numina-000947-0000-f7231a5395d0cde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f7231a5395d0cde2fdd08b894ac5f4804c36adbe2aa144f246ba07e36e23ce50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000948.json b/manifests/batches/numina/000948.json
index 6e873182cc06db5dcdc6630d878efda12679d51d..9761c11d515b198dea972cdbc7f89cd30ea6edc1 100644
--- a/manifests/batches/numina/000948.json
+++ b/manifests/batches/numina/000948.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000948",
   "batch_fingerprint": "73a256cd954458351fba78ec821551d121b7ed343ce2afa3abce9a8bcff97022",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000948-0000-ff6b10313107201e.parquet",
-      "sha256": "ff6b10313107201eb94cbbad34fceae7fcca4cb3ad829f46df5946b36775f1f6",
-      "bytes": 245206,
-      "rows": 30,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/dev/numina-000948-0000-d6c362b7aeac5eba.parquet",
-      "sha256": "d6c362b7aeac5eba3b2df17d3eb9f2a3c70ad0724558d71cdadfb0a27289e633",
-      "bytes": 438166,
-      "rows": 23,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/internal_test/numina-000948-0000-66064b35b14e92a6.parquet",
-      "sha256": "66064b35b14e92a6f7477061cec99b53effac39cf3396489fd9525e42c88f729",
-      "bytes": 146489,
-      "rows": 9,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c0ce8f0-3161-5ed9-a6f9-8fb61de0bb90",
     "numina:4ece0b0d-9426-5ceb-bd9b-0b8e6bb9946c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004742.lean\",\"6f0f01ea72fa9fd8e1025036bb90245e02cd2aa31f17ba83ead24a880437b4b4\",0,\"algebra_8979\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004743.lean\",\"b845dad674a297a272a7d7db15ea3504489636b81f09de7182a4bee28e2997c7\",0,\"algebra_92963\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004744.lean\",\"b7f0a016d4137c3b11be93261ad297f4b708fda614335dca8826a42c0dfa61f4\",0,\"algebra_16554\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245206,
+      "path": "data/train/pe1/numina-000948-0000-ff6b10313107201e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ff6b10313107201eb94cbbad34fceae7fcca4cb3ad829f46df5946b36775f1f6"
+    },
+    {
+      "bytes": 438166,
+      "path": "data/dev/pe1/numina-000948-0000-d6c362b7aeac5eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d6c362b7aeac5eba3b2df17d3eb9f2a3c70ad0724558d71cdadfb0a27289e633"
+    },
+    {
+      "bytes": 146489,
+      "path": "data/internal_test/pe1/numina-000948-0000-66064b35b14e92a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "66064b35b14e92a6f7477061cec99b53effac39cf3396489fd9525e42c88f729"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000949.json b/manifests/batches/numina/000949.json
index 6f33a78fbc557328a6d2a00accad461881220c55..b7a74374d3a36f3778fc69b52bc205352606a073 100644
--- a/manifests/batches/numina/000949.json
+++ b/manifests/batches/numina/000949.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000949",
   "batch_fingerprint": "aa32b822671ab8e1687aa02cbfafe0d7fa6faba97383abd26999a2258a67ff78",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000949-0000-5f9d687079ea1c57.parquet",
-      "sha256": "5f9d687079ea1c574d32e54c67f0109513117865a1f6f100b67f30b2e7965bef",
-      "bytes": 585061,
-      "rows": 32,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/train/numina-000949-0001-2921a1d05afb70ae.parquet",
-      "sha256": "2921a1d05afb70ae640bc0afa1b687608033fa7344888ea672d5759a7b58a822",
-      "bytes": 139973,
-      "rows": 12,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:56e0704e-ea4d-5772-a8ce-e1b7199229fa",
     "numina:64d92468-9a18-5969-88f1-2581df524284",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004747.lean\",\"cafdf7154c20fd080dadbdd07282927df1c3196db3add44e8dcbf05ff6150b52\",0,\"number_theory_607654\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004748.lean\",\"064528a35d18a7ab81191f7745c874c2531be74664a89d44e81bdcafa813eaff\",0,\"number_theory_15379\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004749.lean\",\"d69e31c51897398740022005fcfb2c1a1c65142bdb17346668d8757a3a15a35c\",0,\"number_theory_16570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 585061,
+      "path": "data/train/p76/numina-000949-0000-5f9d687079ea1c57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "5f9d687079ea1c574d32e54c67f0109513117865a1f6f100b67f30b2e7965bef"
+    },
+    {
+      "bytes": 139973,
+      "path": "data/train/p76/numina-000949-0001-2921a1d05afb70ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2921a1d05afb70ae640bc0afa1b687608033fa7344888ea672d5759a7b58a822"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000950.json b/manifests/batches/numina/000950.json
index 8ec821cf63dc2fd1415cb1fa561810ac459ca4da..f2e7c1c3a675f8c0ee441755e36e128f88b50d70 100644
--- a/manifests/batches/numina/000950.json
+++ b/manifests/batches/numina/000950.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000950",
   "batch_fingerprint": "493a314cb5d655d6d0dbacfdfec126e03d2dc788242f73b4aba629346b2b4532",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000950-0000-7dd8cc2a2c17c54f.parquet",
-      "sha256": "7dd8cc2a2c17c54ffbc953816f4e74f3fff62ed26118896d6e57b0e2f7f10a07",
-      "bytes": 117220,
-      "rows": 10,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/numina-000950-0000-25f0d5aadf84b01e.parquet",
-      "sha256": "25f0d5aadf84b01ee1f42137611d2df8b85c356d7b65fdccdabf01e958eeb97a",
-      "bytes": 135673,
-      "rows": 5,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f1b422e-7713-5655-aee7-22024e35ebfc",
     "numina:61ac80bb-cce2-5e43-a93f-00d952561933",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004752.lean\",\"1a3954b1be3a41a31815e0d6a165080740755fdaab61666daac548590145c351\",0,\"algebra_611053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004753.lean\",\"50fb7f9ff23b747c38588cb8dc457dd1f3676cdec8afb5f18b9efe3a6442164e\",0,\"inequalities_219616\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004754.lean\",\"e2991885de32d771b59f13d30d76f54aea59cc17477329b8681b13cdfe62e3f1\",0,\"algebra_16571\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117220,
+      "path": "data/train/p9a/numina-000950-0000-7dd8cc2a2c17c54f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7dd8cc2a2c17c54ffbc953816f4e74f3fff62ed26118896d6e57b0e2f7f10a07"
+    },
+    {
+      "bytes": 135673,
+      "path": "data/internal_test/p9a/numina-000950-0000-25f0d5aadf84b01e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "25f0d5aadf84b01ee1f42137611d2df8b85c356d7b65fdccdabf01e958eeb97a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000951.json b/manifests/batches/numina/000951.json
index 8acba7fc5bbdb233779bc3b0c581b11403f090c1..62467137de474d347aff8778abcff245967b72fe 100644
--- a/manifests/batches/numina/000951.json
+++ b/manifests/batches/numina/000951.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000951",
   "batch_fingerprint": "42019ee8cbdb697ca01ae882ee6f8dad5847d529420131cd2414d7615c854fb5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000951-0000-b5c3dd5fb65e71bf.parquet",
-      "sha256": "b5c3dd5fb65e71bf6940752e93d3f9cd68a9e4a9f9dd8ee75652f32d7afccd98",
-      "bytes": 399932,
-      "rows": 36,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:296a1974-d85f-5cd9-a75a-e030cb7f8787",
     "numina:2c156188-4e77-5eff-a486-1fe341c89aa1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004757.lean\",\"3eb2cdb1891c2443d471e3276a1130165c20f28bed8b6ae61d1e1bcd87af4cd0\",0,\"algebra_12140\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004758.lean\",\"3162299066c265e7e8643be4348fe7426cb6a60f2fe33a03fa273d07e94b81c9\",0,\"algebra_12144\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004759.lean\",\"11f8bfc4b6277c51ec9afa565965d47fbd514e5860c8e8271c75eaa34c44193c\",0,\"inequalities_220738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399932,
+      "path": "data/train/p52/numina-000951-0000-b5c3dd5fb65e71bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b5c3dd5fb65e71bf6940752e93d3f9cd68a9e4a9f9dd8ee75652f32d7afccd98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000952.json b/manifests/batches/numina/000952.json
index d6d0b8d50610be69ef81fac473cc961594c26345..164c1910c89f64c0a82cebb2ffde39ac8c6348c6 100644
--- a/manifests/batches/numina/000952.json
+++ b/manifests/batches/numina/000952.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000952",
   "batch_fingerprint": "118d8a5498d62903a76544ce1cd8b23c4af14ce42d825d0f48cdb1f51cf304b2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000952-0000-581cef029ac82e23.parquet",
-      "sha256": "581cef029ac82e23545d1fb36fe326aad51a1b9d05c40fbc5abc20e446319338",
-      "bytes": 415144,
-      "rows": 18,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/numina-000952-0000-e06e7afb3536e368.parquet",
-      "sha256": "e06e7afb3536e3685f3b2f0a9006de0bf0ba1649424d8b9716a4aceea6a552c4",
-      "bytes": 26345,
-      "rows": 1,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02d50781-2e94-5b0e-a757-48d2d87a85d8",
     "numina:0d6d6ffd-e5ac-584b-9898-f282c529902a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004762.lean\",\"e7d17bba33db65bb7ad27fec92c7429aaa572419d1ff2a7c87f68045a32e9fc5\",0,\"algebra_13425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004763.lean\",\"9c70089adb0974f3a5f87a628d9ffb3358c5d62739fd0f2a3d9bdf9b6004d5b1\",0,\"algebra_88348\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004764.lean\",\"9edd33d0fff5320d824db54b0e0a37c389ad840f48c3c70c3c36769b5c05e9e5\",0,\"algebra_19736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415144,
+      "path": "data/train/pc5/numina-000952-0000-581cef029ac82e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "581cef029ac82e23545d1fb36fe326aad51a1b9d05c40fbc5abc20e446319338"
+    },
+    {
+      "bytes": 26345,
+      "path": "data/internal_test/pc5/numina-000952-0000-e06e7afb3536e368.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e06e7afb3536e3685f3b2f0a9006de0bf0ba1649424d8b9716a4aceea6a552c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000953.json b/manifests/batches/numina/000953.json
index 22fb31242a2b96848cc401116f1806879d694fdc..bf191bb34ee683ff29c6074a8ad619baec8b6636 100644
--- a/manifests/batches/numina/000953.json
+++ b/manifests/batches/numina/000953.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000953",
   "batch_fingerprint": "7b10b21a31a9b12a70acc804774e10644b8c95b5b622b8c3867b9586c78a0445",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000953-0000-c8b4c547b4467536.parquet",
-      "sha256": "c8b4c547b4467536671dc9d2c1ff0ef8f8ef9e452637f7df96b6a97007d2d71c",
-      "bytes": 86454,
-      "rows": 20,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/dev/numina-000953-0000-044fdb4d0b21ee48.parquet",
-      "sha256": "044fdb4d0b21ee48711b9e5cfee45e4623f8b878966dea14ab1786d47f85a54c",
-      "bytes": 47587,
-      "rows": 8,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    },
-    {
-      "path": "data/internal_test/numina-000953-0000-011aa332e313e82e.parquet",
-      "sha256": "011aa332e313e82e71c7778be28e2e1961b523245ade192a20ac5f41a43e5ec4",
-      "bytes": 158549,
-      "rows": 19,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14a41f69-a255-5097-986c-cd51b24e96ed",
     "numina:18eb2038-38d1-5760-bc0e-9337667bbb53",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004767.lean\",\"64341a5501e841d30f2d736e8cfdf2f1cad8f46df6aea3a19acb83a25c2f2d8c\",0,\"algebra_15469\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004768.lean\",\"a6f52e6fcc44f9ce9688c06755e3712f44c2c026c356eaccc5da99c556df1835\",0,\"number_theory_4985\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004769.lean\",\"c3399252a4ab6a403601ea92ba56c2df9b88cf8750e50c224919801c8483cd31\",0,\"number_theory_17075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86454,
+      "path": "data/train/p4f/numina-000953-0000-c8b4c547b4467536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c8b4c547b4467536671dc9d2c1ff0ef8f8ef9e452637f7df96b6a97007d2d71c"
+    },
+    {
+      "bytes": 47587,
+      "path": "data/dev/p4f/numina-000953-0000-044fdb4d0b21ee48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "044fdb4d0b21ee48711b9e5cfee45e4623f8b878966dea14ab1786d47f85a54c"
+    },
+    {
+      "bytes": 158549,
+      "path": "data/internal_test/p4f/numina-000953-0000-011aa332e313e82e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "011aa332e313e82e71c7778be28e2e1961b523245ade192a20ac5f41a43e5ec4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000954.json b/manifests/batches/numina/000954.json
index a716f792ae17159847e109741540e6736caa40ca..312de93c1c455e55ea8c01c0fd384e990496a183 100644
--- a/manifests/batches/numina/000954.json
+++ b/manifests/batches/numina/000954.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000954",
   "batch_fingerprint": "98cd7d613aaa5dd1fef11966cf4a75852428bd433b468ae3ff972b68bee12dce",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000954-0000-57409e083a5ef0a0.parquet",
-      "sha256": "57409e083a5ef0a072ae02544fc578f850802b14ab2611d6ab0426d71ab73e80",
-      "bytes": 303361,
-      "rows": 23,
-      "revision": "4911276e4e07b53250a916b7324d0ac6c010edf3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:574a3945-5177-5067-83ce-d05d58d4a249",
     "numina:9555f590-b471-50f4-b067-692f993e73da",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004771.lean\",\"3e81cb8fde3aee9182c78658a2973cce483890f96f7bc4e6152accf70a0ce068\",0,\"number_theory_96403\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004773.lean\",\"de5b3ba415538a0d8b9aadbf9992aa08db7a146e74740618144e6e78c5690174\",0,\"inequalities_607407\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004774.lean\",\"3cf65dda307a091faea1e1f151eeb05e69e42aaa0c6baf1c9504b18624384dd8\",0,\"algebra_96405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303361,
+      "path": "data/train/pad/numina-000954-0000-57409e083a5ef0a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "57409e083a5ef0a072ae02544fc578f850802b14ab2611d6ab0426d71ab73e80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000955.json b/manifests/batches/numina/000955.json
index 28185b8f4f1dbe8ac7ab97a2f19eb5cf23c28a75..e358d09a3d3a403bee64d54916b61f9643ef4156 100644
--- a/manifests/batches/numina/000955.json
+++ b/manifests/batches/numina/000955.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000955",
   "batch_fingerprint": "472d72b398e1d29829191142a4372605974094e7dc098d0da9e2946274255202",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000955-0000-8e857f5d23ba86ec.parquet",
-      "sha256": "8e857f5d23ba86ec76a5ccd056a92beac3d52db7919635465dc3f3b077099f2c",
-      "bytes": 1105585,
-      "rows": 42,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/train/numina-000955-0001-c364d8e90ed87854.parquet",
-      "sha256": "c364d8e90ed878543de47c2bc572f86fab72108cee131e06bab43ea3b16b497e",
-      "bytes": 2258007,
-      "rows": 10,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    },
-    {
-      "path": "data/train/numina-000955-0002-7613e11442965354.parquet",
-      "sha256": "7613e11442965354a77ea180d0b34cbf69705f56630e79c39ec31262af70b867",
-      "bytes": 306025,
-      "rows": 26,
-      "revision": "2a1835d13b1028cb2e38dc5c3b8e0e343aa47847"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:74b2ba17-34a7-5424-bd60-4edec5ede5f5",
     "numina:759429e3-b57c-5ebf-b543-d357c5d96553",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004777.lean\",\"bade2c46a9304c01b79b5aa175b7e39422cb83ebae22c02629bd23f4a308c817\",0,\"algebra_9184\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004778.lean\",\"edd9188da37eb2b1736f5f2b5da7a9d3906447d1cdca306c38d977f04604aa42\",0,\"number_theory_607411\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004779.lean\",\"e8d63fa7a6a19a7bee5879da8e1d2243cc94e088971ba28280e850cfb80cb6ff\",0,\"algebra_9375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1105585,
+      "path": "data/train/peb/numina-000955-0000-8e857f5d23ba86ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "8e857f5d23ba86ec76a5ccd056a92beac3d52db7919635465dc3f3b077099f2c"
+    },
+    {
+      "bytes": 2258007,
+      "path": "data/train/peb/numina-000955-0001-c364d8e90ed87854.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c364d8e90ed878543de47c2bc572f86fab72108cee131e06bab43ea3b16b497e"
+    },
+    {
+      "bytes": 306025,
+      "path": "data/train/peb/numina-000955-0002-7613e11442965354.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "7613e11442965354a77ea180d0b34cbf69705f56630e79c39ec31262af70b867"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000956.json b/manifests/batches/numina/000956.json
index a2677da8709814933a9b006c755ccbd8232a4044..e6e60ee69399744da05a86d7c3b2e824b5a36637 100644
--- a/manifests/batches/numina/000956.json
+++ b/manifests/batches/numina/000956.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000956",
   "batch_fingerprint": "e7bcdf7efc9413e26df2e64704910100842b6ab9d48ad4994b01f4b9756fd087",
   "evidence": {
@@ -231,15 +230,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000956-0000-b15d280b370fa4e3.parquet",
-      "sha256": "b15d280b370fa4e3c40338b7cd526f2bdf25bf7aa8ea45d2491cb48aacdd2aac",
-      "bytes": 50655,
-      "rows": 13,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14a69bb0-23f0-54f9-a4ae-4c11aca4e3d4",
     "numina:57166f31-bc18-5797-8c5c-15148179e898",
@@ -251,5 +242,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004781.lean\",\"cf1670f3369b920f44aafe58214d09c7ab2e7ea0fb83caa0c70febde2d36c852\",0,\"algebra_17088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004782.lean\",\"bace62b4b6f7e8a44c171cc8f30260a1c3a268b6c2f027ec423a81e168ab26b6\",0,\"number_theory_608673\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004783.lean\",\"a769082b9ecd8d177b824cc41d61c7d1c4bc596d3c369c3e3eb579d211662678\",0,\"algebra_11645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 50655,
+      "path": "data/train/p97/numina-000956-0000-b15d280b370fa4e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b15d280b370fa4e3c40338b7cd526f2bdf25bf7aa8ea45d2491cb48aacdd2aac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000957.json b/manifests/batches/numina/000957.json
index ec694a8530388e0106a6a8c9d8a59b7ee37ce88c..913f450809e998f15c0ff500d3cf97640e683dab 100644
--- a/manifests/batches/numina/000957.json
+++ b/manifests/batches/numina/000957.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000957",
   "batch_fingerprint": "b4ca6db02223e5d835c42780f6318d0afd97a76c08e79f6d92aaec58071bb513",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000957-0000-22075b1a9c3b85ad.parquet",
-      "sha256": "22075b1a9c3b85ad582c9c35c876e5c6f7fcf605eb5e3d7301cdc0fd44c2d7fc",
-      "bytes": 174878,
-      "rows": 13,
-      "revision": "d9e31b497dd38acb51fd0638ec547a335834566c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0eab7de5-29fb-521a-ba8e-4592f8c3bacf",
     "numina:696bc1d0-b6ce-500e-bdac-491bd3a2dba7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004787.lean\",\"80b709b64c1abdd8112570b1907c7302bd45af543f64a39229f1e4c440a53143\",0,\"algebra_99121\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004788.lean\",\"88086da0a49dd1263b07a753b28087fd6ca3b9bba5e2c11ce561d48f450d5110\",0,\"number_theory_23375\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004789.lean\",\"b4d6426d978c144b9b22af96d9f03a4bbbb4225069ae04bf30ac82b9cac32d7c\",0,\"algebra_608692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174878,
+      "path": "data/train/pd6/numina-000957-0000-22075b1a9c3b85ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "22075b1a9c3b85ad582c9c35c876e5c6f7fcf605eb5e3d7301cdc0fd44c2d7fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000958.json b/manifests/batches/numina/000958.json
index 847cc912f630dba2cd58f81405a58793b3892455..35e9d30de8cb20556a413b737034b497817b9fd5 100644
--- a/manifests/batches/numina/000958.json
+++ b/manifests/batches/numina/000958.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000958",
   "batch_fingerprint": "8ac6e4a998b4db8e1bbac21f636dbd58e2aa8943c616ce200df504782463abec",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000958-0000-7988540a59511501.parquet",
-      "sha256": "7988540a595115011cde26e092fb4db8e15e1e4fd102df6224b2afe59078f0ed",
-      "bytes": 502649,
-      "rows": 31,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/train/numina-000958-0001-bec322823863e32f.parquet",
-      "sha256": "bec322823863e32f8bd5d0a4d21c0e42c807a41d27c416c72ca4e9f839ff5a31",
-      "bytes": 625294,
-      "rows": 17,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/numina-000958-0000-7036f4e3db20cff0.parquet",
-      "sha256": "7036f4e3db20cff0f4d5c439c50fdc11a88cbb57a2eadb4d652779b9fbb87920",
-      "bytes": 79300,
-      "rows": 19,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:a640f0ba-e64f-502c-a4f7-a8afe5ee45f6",
     "numina:cd6ce237-d3ad-56cb-99e5-d52667898bf5",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004792.lean\",\"da1d48d26a0f78317dc3122ce0767c9064057d7339a0a132931ee9106f132ee8\",0,\"number_theory_24470\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004793.lean\",\"f9f8091d938e8d3525ce96a3b2e557e1eba2e42110752a99a171208b5aae673b\",0,\"algebra_11669\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004794.lean\",\"30f015e5295434d68fd98532a93293c3d1b8db061c5b19a09520c28ccf1b10a8\",0,\"algebra_16667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 502649,
+      "path": "data/train/p71/numina-000958-0000-7988540a59511501.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7988540a595115011cde26e092fb4db8e15e1e4fd102df6224b2afe59078f0ed"
+    },
+    {
+      "bytes": 625294,
+      "path": "data/train/p71/numina-000958-0001-bec322823863e32f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "bec322823863e32f8bd5d0a4d21c0e42c807a41d27c416c72ca4e9f839ff5a31"
+    },
+    {
+      "bytes": 79300,
+      "path": "data/dev/p71/numina-000958-0000-7036f4e3db20cff0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7036f4e3db20cff0f4d5c439c50fdc11a88cbb57a2eadb4d652779b9fbb87920"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000959.json b/manifests/batches/numina/000959.json
index 7b4bf310c82d9d91698ed9227ee8c6590ad8e275..0c6618d9ddb4fd862f36b8523fa05bf5c415a7c4 100644
--- a/manifests/batches/numina/000959.json
+++ b/manifests/batches/numina/000959.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000959",
   "batch_fingerprint": "07b701b7a5650908bbbe04b8404854f2d431679dca21921e319cafd4aed03600",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000959-0000-f46705bc297fc9db.parquet",
-      "sha256": "f46705bc297fc9db37795adcaac3aaa7f7ecfca899987e6579e44db1adebcd02",
-      "bytes": 261598,
-      "rows": 19,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/train/numina-000959-0001-ffe7159a8676e6b9.parquet",
-      "sha256": "ffe7159a8676e6b9b87810fe16c9e352349fa7b6231a8782a668ede218c8f1ac",
-      "bytes": 409734,
-      "rows": 1,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:56910d98-308b-5b52-bc69-7bcf4afd49bf",
     "numina:7ecd6111-9fe3-5ae6-b37c-2fbb19832cbf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004797.lean\",\"cd95cc572312cf258d0c1fd5ddefe8bbdcc5065bb892950a58f0479139e1c232\",0,\"algebra_11672\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004798.lean\",\"4d09143919c88fa6a7e1d3a0bdbd539e16af33513da7b8e8817279ac699f862b\",0,\"algebra_608766\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004799.lean\",\"c3a62c6e7f6a689feb6d12712b4e99413d7dec2e0e28fa3715247f67ff0b4131\",0,\"inequalities_607516\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261598,
+      "path": "data/train/p45/numina-000959-0000-f46705bc297fc9db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f46705bc297fc9db37795adcaac3aaa7f7ecfca899987e6579e44db1adebcd02"
+    },
+    {
+      "bytes": 409734,
+      "path": "data/train/p45/numina-000959-0001-ffe7159a8676e6b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "ffe7159a8676e6b9b87810fe16c9e352349fa7b6231a8782a668ede218c8f1ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000960.json b/manifests/batches/numina/000960.json
index 27ef8765319a3960d166d7ae904fcabae98ee04e..e1b0ba6befda1610a19dfae2a19bd85449de47e7 100644
--- a/manifests/batches/numina/000960.json
+++ b/manifests/batches/numina/000960.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000960",
   "batch_fingerprint": "6a0d2ec1aa158297902f7b16cf2d7492a22091fad0c645ee4c5672c994329220",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000960-0000-796fa0e93d502fbd.parquet",
-      "sha256": "796fa0e93d502fbdc5cf1c3c82192b05652d87ee71fda8e3d06445fd13d04108",
-      "bytes": 668237,
-      "rows": 50,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/train/numina-000960-0001-408949ca6e2bdf34.parquet",
-      "sha256": "408949ca6e2bdf348f7330def0e809764996ce2b6f5ecb49b878d25cc4491389",
-      "bytes": 53143,
-      "rows": 1,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7f55a047-974a-5dac-80be-b98420280ae3",
     "numina:80dc4f52-4207-575b-98c4-88f4f012dcd2",
@@ -48,5 +32,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004804.lean\",\"0c9ee55070615c42701200ff5e9a2d88356ea181e8ce1144d37617f1734cb52e\",2,\"intermediate_algebra_4075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 668237,
+      "path": "data/train/p8e/numina-000960-0000-796fa0e93d502fbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "796fa0e93d502fbdc5cf1c3c82192b05652d87ee71fda8e3d06445fd13d04108"
+    },
+    {
+      "bytes": 53143,
+      "path": "data/train/p8e/numina-000960-0001-408949ca6e2bdf34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "408949ca6e2bdf348f7330def0e809764996ce2b6f5ecb49b878d25cc4491389"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000961.json b/manifests/batches/numina/000961.json
index 12805b987d4197c139ea1a21d7a2d2db216a98b3..f4da943f5cb05b9dd685b9d54c49d281569f0039 100644
--- a/manifests/batches/numina/000961.json
+++ b/manifests/batches/numina/000961.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000961",
   "batch_fingerprint": "a1f6ac9c0a0e224d32afa2fd22e7f7d0c6ba7149529f5b7d8ab9762dfd13a167",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000961-0000-1db5af5c02eb9aad.parquet",
-      "sha256": "1db5af5c02eb9aad2952b9064e969688a3f69e47c21d254e7a0a26e2e9187e54",
-      "bytes": 160362,
-      "rows": 27,
-      "revision": "8de3693344b29a77d834b661f87095ae85b91fbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:564fee0e-8ec5-5425-a349-ccb59a461c42",
     "numina:691ba0b1-d9c3-5cb6-9c5d-7788f2647561",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004807.lean\",\"3589ff2cc1a115f1cb1f0105561bfd15272675b5785e8a9396e80d16515d2170\",0,\"algebra_14263\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004809.lean\",\"721d34eccb1cfc64c2e2d57b5f8955446a720c13430b0aac32d8ebd471051adf\",0,\"algebra_15360\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160362,
+      "path": "data/train/p2d/numina-000961-0000-1db5af5c02eb9aad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "1db5af5c02eb9aad2952b9064e969688a3f69e47c21d254e7a0a26e2e9187e54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000962.json b/manifests/batches/numina/000962.json
index 2b0caca76994ab0b51ed7cbd101dc0a7541e9f38..c7d8bb6d2f0453a2f6b5a92f6335701e12f9dc37 100644
--- a/manifests/batches/numina/000962.json
+++ b/manifests/batches/numina/000962.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000962",
   "batch_fingerprint": "6481cbfb400b472b3aacd7f772b18726b56d0dc67f34a18db53ef84b0ceef643",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000962-0000-55e78f3b08f3d3fe.parquet",
-      "sha256": "55e78f3b08f3d3fe93ed291cc1f04218f9d6e5d6325c406dde458eaf398eb098",
-      "bytes": 340324,
-      "rows": 39,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/dev/numina-000962-0000-438ff67ac96b3d13.parquet",
-      "sha256": "438ff67ac96b3d13c8771643d826a1d756be07dfa3eb7e6b63829a0855655fd6",
-      "bytes": 78283,
-      "rows": 8,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:097bfb4c-8ca9-595a-8c30-a47ced603445",
     "numina:1bbb144d-3cc4-51bf-9c07-0e37db965ef0",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004814.lean\",\"fc034a80c7c5cac8f57763663ab7f37450e3e86aff8384c56465c951ad3dd0b4\",0,\"algebra_34454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340324,
+      "path": "data/train/p7e/numina-000962-0000-55e78f3b08f3d3fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "55e78f3b08f3d3fe93ed291cc1f04218f9d6e5d6325c406dde458eaf398eb098"
+    },
+    {
+      "bytes": 78283,
+      "path": "data/dev/p7e/numina-000962-0000-438ff67ac96b3d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "438ff67ac96b3d13c8771643d826a1d756be07dfa3eb7e6b63829a0855655fd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000963.json b/manifests/batches/numina/000963.json
index cbee1e687063315106dfd710109545618e84a295..b5075c1da1857b7d5b964ad4877e0cfaefbf8b98 100644
--- a/manifests/batches/numina/000963.json
+++ b/manifests/batches/numina/000963.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000963",
   "batch_fingerprint": "2c1734fa5f8446c60bc671f4f20fb1d70141a391407525bf10ea54f76d553ec2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000963-0000-54e2dc7d1cdf69d0.parquet",
-      "sha256": "54e2dc7d1cdf69d094557fe9e249c99c0f2544029bf5f41defc8cf46f0f6947d",
-      "bytes": 463989,
-      "rows": 35,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    },
-    {
-      "path": "data/internal_test/numina-000963-0000-a23c9af79dceecda.parquet",
-      "sha256": "a23c9af79dceecda129a6a91dcb40ab8ecfdb3939c4e92ea4abddbac04c754e9",
-      "bytes": 404222,
-      "rows": 32,
-      "revision": "774fdeb5ea6b689e778cc788f8388f0e7702a390"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:004a8a74-3628-5b31-a4d2-b9a893de0aa8",
     "numina:3844b0d4-3f37-5809-b70f-0f3581a8f88f",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004819.lean\",\"8d578054b15d219cefa77975ee60fb4d112925712c6b79d09f682cd9358e8a94\",0,\"algebra_14318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463989,
+      "path": "data/train/pba/numina-000963-0000-54e2dc7d1cdf69d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "54e2dc7d1cdf69d094557fe9e249c99c0f2544029bf5f41defc8cf46f0f6947d"
+    },
+    {
+      "bytes": 404222,
+      "path": "data/internal_test/pba/numina-000963-0000-a23c9af79dceecda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "a23c9af79dceecda129a6a91dcb40ab8ecfdb3939c4e92ea4abddbac04c754e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000964.json b/manifests/batches/numina/000964.json
index ca3c6d96ee88f134e2948c4a9fb863cf076c8d91..64ee4141eedccfe6d0c09f744e983db7d4c7d68c 100644
--- a/manifests/batches/numina/000964.json
+++ b/manifests/batches/numina/000964.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000964",
   "batch_fingerprint": "4a1c2b2242002a21780987bb5048f4011bbeb1003f2b8e0c582aa8149bdf10f6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000964-0000-0cb300fa268e4431.parquet",
-      "sha256": "0cb300fa268e4431163b9834ff2681c6b8c3406ac19e75c5b727851864ce2186",
-      "bytes": 533029,
-      "rows": 24,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/train/numina-000964-0001-1f3e3448500119c3.parquet",
-      "sha256": "1f3e3448500119c31f88e10d57c6e448dc2871dff60fe1180465c7fe5432896e",
-      "bytes": 457180,
-      "rows": 6,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    },
-    {
-      "path": "data/train/numina-000964-0002-a9a9663026b88e3b.parquet",
-      "sha256": "a9a9663026b88e3bf994b05cc1ac1422b283968ba1e07b6588a72cc793415fa7",
-      "bytes": 525944,
-      "rows": 10,
-      "revision": "21e37d5fc631721d723dc694184f94cd7905eb21"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:33f1151c-0cf3-59e9-86ca-96eb311c395d",
     "numina:68883bfd-8b24-5070-9a7a-1a06b4eb171a",
@@ -54,5 +31,28 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 533029,
+      "path": "data/train/pd3/numina-000964-0000-0cb300fa268e4431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0cb300fa268e4431163b9834ff2681c6b8c3406ac19e75c5b727851864ce2186"
+    },
+    {
+      "bytes": 457180,
+      "path": "data/train/pd3/numina-000964-0001-1f3e3448500119c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1f3e3448500119c31f88e10d57c6e448dc2871dff60fe1180465c7fe5432896e"
+    },
+    {
+      "bytes": 525944,
+      "path": "data/train/pd3/numina-000964-0002-a9a9663026b88e3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a9a9663026b88e3bf994b05cc1ac1422b283968ba1e07b6588a72cc793415fa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000965.json b/manifests/batches/numina/000965.json
index 232ac8633cb58578ce11092c7aeea368c9ba005c..1b859f680e550c3f06da1e14055d94e3e37affe4 100644
--- a/manifests/batches/numina/000965.json
+++ b/manifests/batches/numina/000965.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000965",
   "batch_fingerprint": "afc57710792e898a5ca1a2ea4836725f5b0f10f1e02d2783ab902fa48233d108",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000965-0000-5ed2108ff034647c.parquet",
-      "sha256": "5ed2108ff034647cec677c74c4e4736edc017a49877af37687602fe7d187191a",
-      "bytes": 528025,
-      "rows": 31,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/train/numina-000965-0001-cc304043b7598a6c.parquet",
-      "sha256": "cc304043b7598a6cb33317c3fbf59bfb9301de4934c462bb86a60e767fc3c3e6",
-      "bytes": 76618,
-      "rows": 7,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/numina-000965-0000-65a0e77818fc7a2b.parquet",
-      "sha256": "65a0e77818fc7a2b670a8d5abefeffe660f88a91ba246b7a059abb2768011814",
-      "bytes": 240500,
-      "rows": 19,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19a815ff-5900-5604-a80e-ec10ce7a334a",
     "numina:28b4be57-30f7-53a2-bb36-cad7d7f939e0",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004827.lean\",\"790e0d5ad94dd81646675db1b76d151394b6706da3fccf0a9ed469474b70d180\",0,\"algebra_13919\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004828.lean\",\"66fb68453bd5358021543127c3aa2c238598f3d87eb98aac08c5afe07b728579\",0,\"algebra_15253\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004829.lean\",\"9f5bf13ef4f087514bba233bb99046147f6bb04f90937b4524f6f08a91509ab9\",0,\"algebra_13920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528025,
+      "path": "data/train/pcc/numina-000965-0000-5ed2108ff034647c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "5ed2108ff034647cec677c74c4e4736edc017a49877af37687602fe7d187191a"
+    },
+    {
+      "bytes": 76618,
+      "path": "data/train/pcc/numina-000965-0001-cc304043b7598a6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cc304043b7598a6cb33317c3fbf59bfb9301de4934c462bb86a60e767fc3c3e6"
+    },
+    {
+      "bytes": 240500,
+      "path": "data/dev/pcc/numina-000965-0000-65a0e77818fc7a2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "65a0e77818fc7a2b670a8d5abefeffe660f88a91ba246b7a059abb2768011814"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000966.json b/manifests/batches/numina/000966.json
index a1adedcb683dacc662a0dc0912e4c611200930c9..d5d02386e643698aabd500965f1b46c6a11547c8 100644
--- a/manifests/batches/numina/000966.json
+++ b/manifests/batches/numina/000966.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000966",
   "batch_fingerprint": "5cbd5abf5ef2f49eb8fede48cc67e2cc076c2f1fc50b574964a865387faea48a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000966-0000-40592cabd44a0a27.parquet",
-      "sha256": "40592cabd44a0a27e52588a04cf70a34d6b8b47ade8d65b7f678d3a668441189",
-      "bytes": 503652,
-      "rows": 35,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:052a5b53-48f8-5828-be8d-06f2729486c7",
     "numina:11ab16fb-5d7c-5dfa-ac73-9b1ab72525bb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004832.lean\",\"20c157332859fcbdb39f71f679cb3762abc727059f46123c44e8472b3be71d10\",0,\"inequalities_292056\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004833.lean\",\"fd70032bc1b83b34b64a146cf42788499f5e7c08f164fa093a4cce3d5a432d5b\",0,\"number_theory_4109\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004834.lean\",\"4e302c1c535d0b47b765753d26156c299e4aea45da2ef94c30857a875df6da26\",0,\"aime_algebra_94549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503652,
+      "path": "data/train/pa2/numina-000966-0000-40592cabd44a0a27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "40592cabd44a0a27e52588a04cf70a34d6b8b47ade8d65b7f678d3a668441189"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000967.json b/manifests/batches/numina/000967.json
index 7c31a8b7600895d19585674910dcdb91f4552bd6..a98e38dc9e7a03d74b90f27b62822ca4f310f974 100644
--- a/manifests/batches/numina/000967.json
+++ b/manifests/batches/numina/000967.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000967",
   "batch_fingerprint": "8cd5231b2ac0c9be7fc2f693fae425321eae6121897a66d7b63e58359dc28126",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000967-0000-03e4b2f4cd56c46a.parquet",
-      "sha256": "03e4b2f4cd56c46aaa7197913aa4550ed4f57a6633424b244968f3832ed77d58",
-      "bytes": 624476,
-      "rows": 14,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/dev/numina-000967-0000-719ec1a8d61bd20b.parquet",
-      "sha256": "719ec1a8d61bd20b6458900a64257970b860fa0f4776293904bc7db3d3fb8109",
-      "bytes": 25006,
-      "rows": 1,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54c5f104-8342-5b43-9396-fc47e2ee1bbd",
     "numina:5bb25a82-96d8-542e-909f-5c9e7b1a4474",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004837.lean\",\"2782968e21f9bf356ca3019d1334481e9e254d9712830f37048fba0d98d2718a\",0,\"algebra_14454\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004838.lean\",\"d5a95dd6ee4558383012b3849aec25cbd4639bfa23ec8e85e8f392f25af4866c\",0,\"number_theory_16681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004839.lean\",\"b81f64bd317d700444dd1d98ad3ff02130ee4eed1fe9325b7b953190e05d56f8\",0,\"number_theory_11006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624476,
+      "path": "data/train/p21/numina-000967-0000-03e4b2f4cd56c46a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "03e4b2f4cd56c46aaa7197913aa4550ed4f57a6633424b244968f3832ed77d58"
+    },
+    {
+      "bytes": 25006,
+      "path": "data/dev/p21/numina-000967-0000-719ec1a8d61bd20b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "719ec1a8d61bd20b6458900a64257970b860fa0f4776293904bc7db3d3fb8109"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000968.json b/manifests/batches/numina/000968.json
index ddb16c9aa1545211e0e63e5e404757197cb3e54b..35885ea002d84b53700a5dde9337a2301d028d87 100644
--- a/manifests/batches/numina/000968.json
+++ b/manifests/batches/numina/000968.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000968",
   "batch_fingerprint": "8a7dc36faeebc4ccb7ba705fcf46b5e32ee14fa5a42ae4245814abbd250c9e11",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000968-0000-346ca113309c3eb7.parquet",
-      "sha256": "346ca113309c3eb76ad216969168e0450412751473cf343d19e7c0e39dcead94",
-      "bytes": 553516,
-      "rows": 43,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f3056c7-0e59-5ae1-a6d4-54698fe0bd4d",
     "numina:44c2bdd2-ad3e-5b7f-8de8-01ddefb7ee09",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004842.lean\",\"8e7d8c88c56f226402043e3e61d8076c780dab5be72bb911d1504bc1a35a7605\",0,\"algebra_10973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004843.lean\",\"e1d5edb1e93195b169832abfcb27de2044e4ff886e88aa665b429d5ca1e6980d\",0,\"calculus_16542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004844.lean\",\"348937f00a4596275c0518a298b8342a2d8efa2dc708de53e7c1b786b298d4c5\",0,\"algebra_65302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 553516,
+      "path": "data/train/pd3/numina-000968-0000-346ca113309c3eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "346ca113309c3eb76ad216969168e0450412751473cf343d19e7c0e39dcead94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000969.json b/manifests/batches/numina/000969.json
index 68f29000c12714b02f129a67f69918fc1c85d4fe..821de129cff590de70a8afe902f62e0e24e8e5d3 100644
--- a/manifests/batches/numina/000969.json
+++ b/manifests/batches/numina/000969.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000969",
   "batch_fingerprint": "230eba8dd8515189c432b2ba527b900fd9369f155be8ae65e75a94264018207f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000969-0000-d0922bfeec63bf74.parquet",
-      "sha256": "d0922bfeec63bf7433cd8bde6d443fbf52767476710b56e71cd49369c58273ac",
-      "bytes": 241820,
-      "rows": 52,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/numina-000969-0000-39becc085d9370c6.parquet",
-      "sha256": "39becc085d9370c65f0a280e08fa1266a8502c829dd090d48a6dd42ff1a500e6",
-      "bytes": 41442,
-      "rows": 11,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29060fb9-af53-5509-a093-f5b578de2dbe",
     "numina:a94bc0c1-1ebf-55c9-9578-640fdbbb5495",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004847.lean\",\"b3987d3fb3fe599e6f41cd977a3703f4f707f4d9d7fe9f7c8fbb6e09a6078b59\",0,\"algebra_93648\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004848.lean\",\"f4cae5ae8e016a974eadf63a734761255c2666788f68f1a8b3f05c4b13112a79\",0,\"algebra_9323\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004849.lean\",\"562acb26f60c3ea88b23ab3e067f400d40da689f6e732de5b9b0ca140543bd54\",0,\"algebra_21905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241820,
+      "path": "data/train/p9a/numina-000969-0000-d0922bfeec63bf74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "d0922bfeec63bf7433cd8bde6d443fbf52767476710b56e71cd49369c58273ac"
+    },
+    {
+      "bytes": 41442,
+      "path": "data/internal_test/p9a/numina-000969-0000-39becc085d9370c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "39becc085d9370c65f0a280e08fa1266a8502c829dd090d48a6dd42ff1a500e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000970.json b/manifests/batches/numina/000970.json
index 00929c45b919fbb370ec2d0f0e8d6a4008c2b0b9..57721dff4156428b4813bf3e471bfb8a10d3548d 100644
--- a/manifests/batches/numina/000970.json
+++ b/manifests/batches/numina/000970.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000970",
   "batch_fingerprint": "573c5f0c7d4eb0914219f7bc896f2bf6e18a6dcc3e5f482984bbbf600d248f12",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000970-0000-27d3627497658e24.parquet",
-      "sha256": "27d3627497658e2421729e6ee3b24d345a00d3aee20f7cc8bd2464ae107329e6",
-      "bytes": 333602,
-      "rows": 25,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08cef8ef-ae69-513b-8ad2-0e725d162e8d",
     "numina:4bf4f101-7b81-5f12-8c2f-8f77833db49a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004852.lean\",\"ebf509fdb63d695efbf2ac7ef840663106920e1155be00eec5d8c08718ae21c5\",0,\"algebra_9328\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004853.lean\",\"10ea92146ee88dc2ed0080eda012a41d6994c040e168b5f51d5216fa0ff879bd\",0,\"number_theory_609448\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004854.lean\",\"1a5d19881491203018e5127aa6a6a7c7c191d0cd200694cafea73c152b39ca6c\",0,\"algebra_21714\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333602,
+      "path": "data/train/p17/numina-000970-0000-27d3627497658e24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "27d3627497658e2421729e6ee3b24d345a00d3aee20f7cc8bd2464ae107329e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000971.json b/manifests/batches/numina/000971.json
index c1fa52457e74fa5e37b72ba309374b62da29ddc6..8a40bb8703b76ed2b6d9f1a003ca216d3cc47c83 100644
--- a/manifests/batches/numina/000971.json
+++ b/manifests/batches/numina/000971.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000971",
   "batch_fingerprint": "c57c728168091de7453889897d1c0dad37ddf5232ef9f3ebf2f70f1e510d8890",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000971-0000-ceae49fb19262c7b.parquet",
-      "sha256": "ceae49fb19262c7b323059e65abc7df4183f1f43497c5222891bb52c73b08616",
-      "bytes": 375396,
-      "rows": 31,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    },
-    {
-      "path": "data/internal_test/numina-000971-0000-d2f8a60ceb8bc0ae.parquet",
-      "sha256": "d2f8a60ceb8bc0ae0fdcf0a3d969e8a4059be35793420f77e159173a3d4eb31e",
-      "bytes": 64662,
-      "rows": 10,
-      "revision": "23e57e3ed32b42cbf344bf230c846e240acbcc1b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19d5b7ab-2ae6-5c7d-b28c-b14994f4f043",
     "numina:2107243b-0cae-5e26-8d6e-f804524c1c88",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004857.lean\",\"d711ee50a4df90da96312801c470b580cb089c63455b058e138fd778ebd25bb6\",0,\"inequalities_23627\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004858.lean\",\"0846e8ccd595b52b518a1167f10f469dc656b51a7291a7d14fb5c5289eaa217c\",0,\"inequalities_24285\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004859.lean\",\"8ce5ee6d33383a1d561960db7350da6f2cee213b0a66eff2174b0222b9c12aac\",0,\"algebra_9331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375396,
+      "path": "data/train/p83/numina-000971-0000-ceae49fb19262c7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "ceae49fb19262c7b323059e65abc7df4183f1f43497c5222891bb52c73b08616"
+    },
+    {
+      "bytes": 64662,
+      "path": "data/internal_test/p83/numina-000971-0000-d2f8a60ceb8bc0ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d2f8a60ceb8bc0ae0fdcf0a3d969e8a4059be35793420f77e159173a3d4eb31e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000972.json b/manifests/batches/numina/000972.json
index 309daaac7fb6b111179feffe0a4f3b70f6c62321..7a118496fa7456205f92a4c33b92176e129ccac2 100644
--- a/manifests/batches/numina/000972.json
+++ b/manifests/batches/numina/000972.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000972",
   "batch_fingerprint": "06c088168d57fbfd6ddd1e8d08940c3401c3fb47c762a4eb73e99fb0e1d209f1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000972-0000-b8abbeccd741fbe4.parquet",
-      "sha256": "b8abbeccd741fbe4787868d090498333a4ec2b901853f05c42656286b8807c6f",
-      "bytes": 109279,
-      "rows": 18,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/dev/numina-000972-0000-c5a9ce1b0d2d6fb2.parquet",
-      "sha256": "c5a9ce1b0d2d6fb2b4f3aecc6986478bea12168d68ff08edd1db86b7e8284a68",
-      "bytes": 35796,
-      "rows": 3,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a0a6e05-0bfc-5bfd-b33f-6fd89257231e",
     "numina:5b70613a-80d1-5d44-917b-f34027510f6d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004862.lean\",\"f53ef211850ad7d3334bb3e5aaeb317fb2fd06df505439ef18478e218e4cea43\",0,\"algebra_13055\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004863.lean\",\"8ea869dc43510965b97acbe4391f3dc386d3a2abb8d9a4e74dfede83c2184b70\",0,\"number_theory_47061\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004864.lean\",\"2283fdbea1bb4cbdcc067bdc4ccce0c117399bff91fabb9dbc081bae6b9d4f9b\",0,\"algebra_9455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109279,
+      "path": "data/train/p5a/numina-000972-0000-b8abbeccd741fbe4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b8abbeccd741fbe4787868d090498333a4ec2b901853f05c42656286b8807c6f"
+    },
+    {
+      "bytes": 35796,
+      "path": "data/dev/p5a/numina-000972-0000-c5a9ce1b0d2d6fb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c5a9ce1b0d2d6fb2b4f3aecc6986478bea12168d68ff08edd1db86b7e8284a68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000973.json b/manifests/batches/numina/000973.json
index 14cf16a6c4051e63e5892b8d22ebb58194d30206..41b1b102d0f118380bf12aca1541d07a654ce815 100644
--- a/manifests/batches/numina/000973.json
+++ b/manifests/batches/numina/000973.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000973",
   "batch_fingerprint": "27b1e20bdd696bd388956d2316a8023151c44ee2aa830d4f5483b6d990c9e202",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000973-0000-2a23575c3e4e022b.parquet",
-      "sha256": "2a23575c3e4e022bca966782eff4cc5dbe9049712d09d0aa0c28ff29d72f2739",
-      "bytes": 367582,
-      "rows": 22,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6bcfd203-bd33-5742-842e-5d8019ecdec7",
     "numina:7d3c827c-e9e9-5600-a3dd-9b6f45978661",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004867.lean\",\"ed414dead2706068c4829de9d6aa35febc9a67c3a6a088f8946dafa8800e4a98\",0,\"algebra_9278\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004868.lean\",\"0442f81bac6eaf95e67d6ee0c82e7204ff23919aa5938aa0a2feeb6211828869\",0,\"number_theory_13058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004869.lean\",\"f708ed182b177f94406aaac0619f90b1c816fb5913c1b5d4c09089ba0483b0c3\",0,\"number_theory_16766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367582,
+      "path": "data/train/p06/numina-000973-0000-2a23575c3e4e022b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2a23575c3e4e022bca966782eff4cc5dbe9049712d09d0aa0c28ff29d72f2739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000974.json b/manifests/batches/numina/000974.json
index 76ef4d4b3ac03e844c4c6bd0d28ab42168653768..c1e11a007c7091fa39571467f839adcaf44c6639 100644
--- a/manifests/batches/numina/000974.json
+++ b/manifests/batches/numina/000974.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000974",
   "batch_fingerprint": "f0dc77f4743ca2e897df67bb4ab561896b3a429813bff7d5c0cd3ea8cddbfd35",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000974-0000-fbe3c8daa62ac6cf.parquet",
-      "sha256": "fbe3c8daa62ac6cf6456b6a9ce08170172aa04b784dfb7c451d0d071ff089c86",
-      "bytes": 604170,
-      "rows": 26,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    },
-    {
-      "path": "data/train/numina-000974-0001-20c64eef6782928a.parquet",
-      "sha256": "20c64eef6782928a633838eaa264ac304c8797e83269040f182108489868e39e",
-      "bytes": 169483,
-      "rows": 22,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08052ed7-c5b6-5da2-bd90-2d6682aaa47c",
     "numina:1ba1a63d-4a23-564f-a047-429f51fdb2ba",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004872.lean\",\"383830c94dcca6e27e4fded51efea07ffaccca14b3e3f13b07903310436f74fa\",0,\"number_theory_608917\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004873.lean\",\"da6ce575453dc7399f7128371f5f5bd254eab150580c3f98e8889d2d0ce1314b\",0,\"algebra_10553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004874.lean\",\"63cc28888c311e5b72beecedaa8cf382717e2f7f57116fc6f927a370c7b1db46\",0,\"algebra_611044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 604170,
+      "path": "data/train/p5b/numina-000974-0000-fbe3c8daa62ac6cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "fbe3c8daa62ac6cf6456b6a9ce08170172aa04b784dfb7c451d0d071ff089c86"
+    },
+    {
+      "bytes": 169483,
+      "path": "data/train/p5b/numina-000974-0001-20c64eef6782928a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "20c64eef6782928a633838eaa264ac304c8797e83269040f182108489868e39e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000975.json b/manifests/batches/numina/000975.json
index e76eed9c8bbe963a678b05c9cb5073d91d637326..03cecfa5bf2c6b144e11162f30a72070dc488b3b 100644
--- a/manifests/batches/numina/000975.json
+++ b/manifests/batches/numina/000975.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000975",
   "batch_fingerprint": "072713c86ceb576c6d9e350a983fcef237e3846892a138f41a5a2f1fd19b0e80",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000975-0000-0da1c5894ab115b5.parquet",
-      "sha256": "0da1c5894ab115b5c4445a763a5c2bac86c5e4b6800632a84be6283e16456a35",
-      "bytes": 39000,
-      "rows": 6,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/numina-000975-0000-c4da30e771e49763.parquet",
-      "sha256": "c4da30e771e49763208d41cd929386d3ffec98532ce94c3366528b8d21ae4d62",
-      "bytes": 23535,
-      "rows": 1,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7b5f2036-371e-5934-a159-ef691dd334ed",
     "numina:86645a34-58f2-5ed4-aabe-072f829ccb37",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004877.lean\",\"a9f8094309226022484667c7a7a6d0b7ec70d4dbc030043d3f8765a164ad408b\",0,\"prealgebra_4094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004878.lean\",\"a02138c22c40ab953c6f763555a29b43a24182d35460fbc4f4bf9b9f9b7cca08\",0,\"algebra_10710\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004879.lean\",\"b4390744012c2f1ead7dfe9c2849314c6a7b85d7d7394f40a6a84067a6b4177e\",1,\"number_theory_4096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 39000,
+      "path": "data/train/p67/numina-000975-0000-0da1c5894ab115b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0da1c5894ab115b5c4445a763a5c2bac86c5e4b6800632a84be6283e16456a35"
+    },
+    {
+      "bytes": 23535,
+      "path": "data/internal_test/p67/numina-000975-0000-c4da30e771e49763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c4da30e771e49763208d41cd929386d3ffec98532ce94c3366528b8d21ae4d62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000976.json b/manifests/batches/numina/000976.json
index f2e697dc94363ab53af18baf3cf6d1d79fdce6d7..a1ade52844805574526be36d7c6a9ef77ec4c678 100644
--- a/manifests/batches/numina/000976.json
+++ b/manifests/batches/numina/000976.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000976",
   "batch_fingerprint": "eda8f7588daa9352defd9c8b54c9c549728b8ac2f77a179f69081e95bbe2a637",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000976-0000-e987258ebb1dd6ee.parquet",
-      "sha256": "e987258ebb1dd6eed5da6f7db2108a790771c641e4639fd3c030e033434866d5",
-      "bytes": 625316,
-      "rows": 51,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15ef13db-ab71-5d2f-8816-f2634449487b",
     "numina:205037fd-8aa2-5581-adc6-17422881d98c",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004882.lean\",\"8bd412b97aff55917f60920f1f2ce3901aec9f21487115a18e903358cd1540df\",0,\"algebra_10711\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004883.lean\",\"307d19830dfaab9eaf87ee51c5d2b1b66e4efab1913f001cb43e04c8b77b814c\",0,\"number_theory_75318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004884.lean\",\"cd39e22370069df1942c21e97b02ded139f538bfa17f5e7e81bf02523104ebb6\",0,\"algebra_10722\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625316,
+      "path": "data/train/p28/numina-000976-0000-e987258ebb1dd6ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "e987258ebb1dd6eed5da6f7db2108a790771c641e4639fd3c030e033434866d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000977.json b/manifests/batches/numina/000977.json
index 54d60a20de7898c8871302cd33647cb64e340770..356c836261d274cec8db579a997c19ac430f87ba 100644
--- a/manifests/batches/numina/000977.json
+++ b/manifests/batches/numina/000977.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000977",
   "batch_fingerprint": "a927f8db2a0c7a69f6c1ffb61d90b5e847e6f40d9fe9bcefdca18ad491bbe6f0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000977-0000-5a5d6ee9683bf392.parquet",
-      "sha256": "5a5d6ee9683bf3927f5130f077bca5aa5c515c9fed7788840efe0bcbf9656752",
-      "bytes": 126886,
-      "rows": 29,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/numina-000977-0000-5b5119b38c8929d6.parquet",
-      "sha256": "5b5119b38c8929d6473df8bfc94107941366252cd06b2b5b7488b6d607a56d5e",
-      "bytes": 131289,
-      "rows": 24,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c6a86e7-fc52-52bb-b465-6038410b43d8",
     "numina:21e9af01-1080-5240-9c49-dcd9cec422c2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004887.lean\",\"8b6afd5cecea7c68510ec5d9e9f517eab0060e7a87a4a3dcb91bec52674ed6f9\",0,\"algebra_9179\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004888.lean\",\"4a10b5bbf1a65c3be13057cab95cc47ceebe357e741f54ee84207a8e5716a72a\",0,\"inequalities_291481\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004889.lean\",\"6aa785345330d3fbc57c6053126e3d4aa018969bbddb912fc657f07b2e5ce045\",0,\"algebra_8984\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126886,
+      "path": "data/train/p0e/numina-000977-0000-5a5d6ee9683bf392.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "5a5d6ee9683bf3927f5130f077bca5aa5c515c9fed7788840efe0bcbf9656752"
+    },
+    {
+      "bytes": 131289,
+      "path": "data/internal_test/p0e/numina-000977-0000-5b5119b38c8929d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5b5119b38c8929d6473df8bfc94107941366252cd06b2b5b7488b6d607a56d5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000978.json b/manifests/batches/numina/000978.json
index bc0b6390244b79e6c52bdd5fd7f764bf8039f580..9afa19e4b11d6e663ad51a1a8bc121f55fbc742e 100644
--- a/manifests/batches/numina/000978.json
+++ b/manifests/batches/numina/000978.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000978",
   "batch_fingerprint": "8bf44379b6540f432669a26b035fd82c2bc338f3fac04eeb7a35166a3987b6e9",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2ec48fd3-4cc9-5a56-b820-c020c5fed78d",
+    "numina:35a8f291-8f73-5994-a91b-9e2f3d062c8b",
+    "numina:8d2303ef-8797-5c83-baf9-089ccbdff18e",
+    "numina:be65ab73-394d-5f66-a301-1d6030e79a69",
+    "numina:c244bdd0-fe81-5396-b784-07b65b3bd48d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004890.lean\",\"877ba5e4e85de760efc54825c1a725c395636d50b8789519a5349b277daa7cf0\",0,\"calculus_13104\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004891.lean\",\"4fa3fd7566464a1433973d5c3bfd919388a93b790b89df76172e8bf184061b27\",0,\"formal_2854\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004892.lean\",\"d520c3ed4b78fa4cbcd645e78b29a59b2f7eba8eaf119adf5d76e2ec3d234080\",0,\"algebra_13106\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004893.lean\",\"65f92c87956e415dad0128f70afa160e6b6b59d8424c9f0d4b4b17dc18ad0388\",0,\"algebra_16134\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004894.lean\",\"ce42fc14d4c0dc0b0cb19db247c846f2df0dddf9a5efde67bc5c1eeaedd4d4b0\",0,\"number_theory_95385\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000978-0000-2d23afbeb5f80161.parquet",
-      "sha256": "2d23afbeb5f8016135f69091c413fca2efed2a05f7f959db1dad13b229db1065",
       "bytes": 65560,
+      "path": "data/train/p63/numina-000978-0000-2d23afbeb5f80161.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
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-      "path": "data/internal_test/numina-000978-0000-c11970f4d8eafe8a.parquet",
-      "sha256": "c11970f4d8eafe8abb377e928cbccd21ad36a2988f3e3e1b536243e9ebb63200",
       "bytes": 533204,
+      "path": "data/internal_test/p63/numina-000978-0000-c11970f4d8eafe8a.parquet",
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       "rows": 9,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
+      "sha256": "c11970f4d8eafe8abb377e928cbccd21ad36a2988f3e3e1b536243e9ebb63200"
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-      "path": "data/internal_test/numina-000978-0001-d68f463e1e035ba1.parquet",
-      "sha256": "d68f463e1e035ba12b335fd1ef70de09a3c5c5f3f4e3df2a3312eb2509084c65",
       "bytes": 1372841,
+      "path": "data/internal_test/p63/numina-000978-0001-d68f463e1e035ba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
+      "sha256": "d68f463e1e035ba12b335fd1ef70de09a3c5c5f3f4e3df2a3312eb2509084c65"
     },
     {
-      "path": "data/internal_test/numina-000978-0002-656dc6f2ef11b3d1.parquet",
-      "sha256": "656dc6f2ef11b3d1c577c7f9e729c01dd88b0f33788918f2c21f08bf9cd290fe",
       "bytes": 383379,
+      "path": "data/internal_test/p63/numina-000978-0002-656dc6f2ef11b3d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "a64610d21f44163a9ef1c632893c8d65a5ed8d44"
+      "sha256": "656dc6f2ef11b3d1c577c7f9e729c01dd88b0f33788918f2c21f08bf9cd290fe"
     }
-  ],
-  "proof_ids": [
-    "numina:2ec48fd3-4cc9-5a56-b820-c020c5fed78d",
-    "numina:35a8f291-8f73-5994-a91b-9e2f3d062c8b",
-    "numina:8d2303ef-8797-5c83-baf9-089ccbdff18e",
-    "numina:be65ab73-394d-5f66-a301-1d6030e79a69",
-    "numina:c244bdd0-fe81-5396-b784-07b65b3bd48d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004890.lean\",\"877ba5e4e85de760efc54825c1a725c395636d50b8789519a5349b277daa7cf0\",0,\"calculus_13104\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004891.lean\",\"4fa3fd7566464a1433973d5c3bfd919388a93b790b89df76172e8bf184061b27\",0,\"formal_2854\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004892.lean\",\"d520c3ed4b78fa4cbcd645e78b29a59b2f7eba8eaf119adf5d76e2ec3d234080\",0,\"algebra_13106\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004893.lean\",\"65f92c87956e415dad0128f70afa160e6b6b59d8424c9f0d4b4b17dc18ad0388\",0,\"algebra_16134\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004894.lean\",\"ce42fc14d4c0dc0b0cb19db247c846f2df0dddf9a5efde67bc5c1eeaedd4d4b0\",0,\"number_theory_95385\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000979.json b/manifests/batches/numina/000979.json
index e9fd275e1ebd5fa641850f8fc89b89ab2302058c..09f1c9e2eaee8f3b5d027d70b7adf170f7aefeba 100644
--- a/manifests/batches/numina/000979.json
+++ b/manifests/batches/numina/000979.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000979",
   "batch_fingerprint": "2fb3ba74039e82e3658c8d67d2dd427a70a17142d71f3c4c0fb3bab7d34ef3cc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000979-0000-2d4f6e38dae1fa46.parquet",
-      "sha256": "2d4f6e38dae1fa46024ee5ac780bb6028f51681ad95edc5f38a44dafbc183732",
-      "bytes": 294646,
-      "rows": 28,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    },
-    {
-      "path": "data/internal_test/numina-000979-0000-3591b71cae64f532.parquet",
-      "sha256": "3591b71cae64f5328b02602e601f2a609de30ecaf98b868b618391f379874214",
-      "bytes": 80606,
-      "rows": 26,
-      "revision": "4543d8636edc4f544f1945da8e9783f7163142b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a3708d7-8314-58ed-a95f-10fe360efd45",
     "numina:6710cc1f-cee1-5c85-86fe-a8096da52c5f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004897.lean\",\"ff74b9347cf16b73ba516aa306460c2cf949a8b8f9a5fbcdfec7d4441b9fa1c3\",0,\"algebra_13114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004898.lean\",\"47e91782927598d524c770919281922b86986a930ab49b43fe1ad20cabccf4cd\",0,\"algebra_14593\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004899.lean\",\"f59ec7f58f1bd14c50d35f74521c41f223f9f269924bbd9db610ddab92c002c8\",0,\"algebra_21465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294646,
+      "path": "data/train/p0a/numina-000979-0000-2d4f6e38dae1fa46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "2d4f6e38dae1fa46024ee5ac780bb6028f51681ad95edc5f38a44dafbc183732"
+    },
+    {
+      "bytes": 80606,
+      "path": "data/internal_test/p0a/numina-000979-0000-3591b71cae64f532.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "3591b71cae64f5328b02602e601f2a609de30ecaf98b868b618391f379874214"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000980.json b/manifests/batches/numina/000980.json
index 1222f5435269ad59f7bc22e5aebaf2b350deef84..ba703397266b43e09d44738cc4087928ced49d4e 100644
--- a/manifests/batches/numina/000980.json
+++ b/manifests/batches/numina/000980.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000980",
   "batch_fingerprint": "f0b41e541d2b243d31b90ea5d6c06fb419708def2e5b2830ce36e31380ad2c0e",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:13dbafa5-7580-5495-93e3-993a3311203c",
+    "numina:5baee898-7421-51e8-9ae6-2ae6ab64f6a5",
+    "numina:6194ac57-b640-5345-95d1-eee7519e67a7",
+    "numina:ab5cf51a-b8a1-5e56-8eef-90a5394bac88",
+    "numina:f78955c7-d42d-5ce1-a7d0-db4deec034a6"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004900.lean\",\"fd20173140f570a28385730f31054b39b9759471002669a39c4349e2c101090e\",0,\"algebra_24019\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004901.lean\",\"76b62d576496eaadef2ed5cb9e041fc74e908ad51a65f5102168e6cc94073e2a\",0,\"algebra_605496\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004902.lean\",\"541adf0c938d69baf321b084d1cb33cf671c341f4317907dc298fb6530119e74\",0,\"number_theory_114470\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004903.lean\",\"0ca71bb5f0a0f1e03a8a1e02563c2b76775e65e9e7b6ff6d7c87632bdb99236a\",0,\"algebra_14598\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004904.lean\",\"f006a2640a016328b0b322f09872d611e71f4d595d7f8205f6791610fba11599\",0,\"algebra_10670\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000980-0000-d63bda18e161b494.parquet",
-      "sha256": "d63bda18e161b494e110f79078886a3478757913662705e1fca677d59c98aeca",
       "bytes": 89782,
+      "path": "data/train/p0d/numina-000980-0000-d63bda18e161b494.parquet",
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       "rows": 14,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
+      "sha256": "d63bda18e161b494e110f79078886a3478757913662705e1fca677d59c98aeca"
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     {
-      "path": "data/train/numina-000980-0001-dbc4275bc9797138.parquet",
-      "sha256": "dbc4275bc97971385f97028ecb9247d9aa659ed658b53812be0aab3adc92552a",
       "bytes": 896351,
+      "path": "data/train/p0d/numina-000980-0001-dbc4275bc9797138.parquet",
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       "rows": 1,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
+      "sha256": "dbc4275bc97971385f97028ecb9247d9aa659ed658b53812be0aab3adc92552a"
     },
     {
-      "path": "data/train/numina-000980-0002-9e8799c462c4689f.parquet",
-      "sha256": "9e8799c462c4689f632375e026804cc4d74d0080f40279a1c7ac58408a315be9",
       "bytes": 40467,
+      "path": "data/train/p0d/numina-000980-0002-9e8799c462c4689f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
+      "sha256": "9e8799c462c4689f632375e026804cc4d74d0080f40279a1c7ac58408a315be9"
     },
     {
-      "path": "data/dev/numina-000980-0000-7e7d8d95b791464b.parquet",
-      "sha256": "7e7d8d95b791464b832cfeccd7a7eb4b4cdaf0406c422359f531a5c0fc1ff648",
       "bytes": 133839,
+      "path": "data/dev/p0d/numina-000980-0000-7e7d8d95b791464b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 31,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
+      "sha256": "7e7d8d95b791464b832cfeccd7a7eb4b4cdaf0406c422359f531a5c0fc1ff648"
     }
-  ],
-  "proof_ids": [
-    "numina:13dbafa5-7580-5495-93e3-993a3311203c",
-    "numina:5baee898-7421-51e8-9ae6-2ae6ab64f6a5",
-    "numina:6194ac57-b640-5345-95d1-eee7519e67a7",
-    "numina:ab5cf51a-b8a1-5e56-8eef-90a5394bac88",
-    "numina:f78955c7-d42d-5ce1-a7d0-db4deec034a6"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004900.lean\",\"fd20173140f570a28385730f31054b39b9759471002669a39c4349e2c101090e\",0,\"algebra_24019\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004901.lean\",\"76b62d576496eaadef2ed5cb9e041fc74e908ad51a65f5102168e6cc94073e2a\",0,\"algebra_605496\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004902.lean\",\"541adf0c938d69baf321b084d1cb33cf671c341f4317907dc298fb6530119e74\",0,\"number_theory_114470\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004903.lean\",\"0ca71bb5f0a0f1e03a8a1e02563c2b76775e65e9e7b6ff6d7c87632bdb99236a\",0,\"algebra_14598\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004904.lean\",\"f006a2640a016328b0b322f09872d611e71f4d595d7f8205f6791610fba11599\",0,\"algebra_10670\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000981.json b/manifests/batches/numina/000981.json
index 6e495f437a42135bcbcd2f22476b8939a4eb0c91..a32a97fd21dca938e736e8b0c6da517006b7113c 100644
--- a/manifests/batches/numina/000981.json
+++ b/manifests/batches/numina/000981.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000981",
   "batch_fingerprint": "569ca9b60fa51d6341d99df9e38f3bd48efb25ad346bd2fa68118bc53f241a52",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000981-0000-c504b0be11059720.parquet",
-      "sha256": "c504b0be11059720644b31d9b9d8c7de3996abdcf717dc118c41d05aead912d3",
-      "bytes": 308153,
-      "rows": 26,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26771bf6-8922-5c05-a170-d34dd4221f50",
     "numina:6d8521b2-a7f4-5c83-9883-e76f07d9c137",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004907.lean\",\"5c1855dba6bc745c6d4bcc82b2061c5df8307d11e8ddb8cf7e7927436101c42f\",0,\"algebra_609202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004908.lean\",\"3a8045281cac39d20e5156f96b902fadd455d172d0dd6b4e1e048b91a4780efd\",0,\"other_24617\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004909.lean\",\"f771529143140281341ff19a94a377d65f30630ca939c38c8b4376c3b5f16719\",0,\"algebra_94241\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308153,
+      "path": "data/train/pb2/numina-000981-0000-c504b0be11059720.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c504b0be11059720644b31d9b9d8c7de3996abdcf717dc118c41d05aead912d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000982.json b/manifests/batches/numina/000982.json
index 8d5a1bbab346c4fdcac924482a8f9e13b917740d..5d9bc9b954119fa018ffaec61e7c8ae6998073fc 100644
--- a/manifests/batches/numina/000982.json
+++ b/manifests/batches/numina/000982.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000982",
   "batch_fingerprint": "99af0d0ce7129a8501752344dde470c3c06ea9b52a6d7d1196da040d77b5e6bd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000982-0000-dcd15ccc13dffa33.parquet",
-      "sha256": "dcd15ccc13dffa3311d183881558a876feff081f5dad4863036509bdd758202f",
-      "bytes": 508957,
-      "rows": 31,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a64ffe5-151e-5266-82ad-662fb39a6d16",
     "numina:0ca05f52-a9a9-592b-bf82-e756f2b81363",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004912.lean\",\"a3a5af127eceb5169ce631afb03b446c9fad3c761a40ab1ab40901d69b48206c\",0,\"inequalities_605515\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004913.lean\",\"1877690e1b0370ce0be3ba5e7cd5251d227b94a6cb098f200d3fe29dd957caec\",0,\"number_theory_200765\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004914.lean\",\"757332edb39172b28c8d6ba875b345d94fd3977d783d3d1e3647407c0b9fe94d\",0,\"number_theory_238413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 508957,
+      "path": "data/train/p32/numina-000982-0000-dcd15ccc13dffa33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "dcd15ccc13dffa3311d183881558a876feff081f5dad4863036509bdd758202f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000983.json b/manifests/batches/numina/000983.json
index 5d7758b2891c21b2b836f98338371066f29a006f..d251097fdabd92f97f9843e9d319b6f80160d7b7 100644
--- a/manifests/batches/numina/000983.json
+++ b/manifests/batches/numina/000983.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000983",
   "batch_fingerprint": "5156f0c7057653ed2d99f4d5ebb44703dc9654014716bee781c1423cf0f73354",
   "evidence": {
@@ -45,22 +44,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000983-0000-c63faec6743e154a.parquet",
-      "sha256": "c63faec6743e154acd2fcac15daac59f75a45fd5d59f70055e03220388d7a6cc",
-      "bytes": 65671,
-      "rows": 4,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/internal_test/numina-000983-0000-6502b21479011b9a.parquet",
-      "sha256": "6502b21479011b9a8f53148872f014f6bd7aa705f72815adee8667d3318d4771",
-      "bytes": 34883,
-      "rows": 3,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0eda2d63-7811-5bf4-a8fa-10cbbc3d0afe",
     "numina:3c4fed48-20f0-595c-b0a7-aac6ff352224",
@@ -72,5 +56,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004916.lean\",\"24e3bc054f21571ea3f2390b392514bd7f367744f98a8d0bac56fb690662cbea\",0,\"algebra_21655\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004917.lean\",\"f1ce5029f297add9d6d6091c326490382a44525239bfbb5e1794c38b4c071707\",0,\"number_theory_16151\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004918.lean\",\"b33908c18e0915f2f9982d5f615810879154634f4bead3a60dea0162b9c8a238\",3,\"number_theory_4901_4\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65671,
+      "path": "data/train/p89/numina-000983-0000-c63faec6743e154a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c63faec6743e154acd2fcac15daac59f75a45fd5d59f70055e03220388d7a6cc"
+    },
+    {
+      "bytes": 34883,
+      "path": "data/internal_test/p89/numina-000983-0000-6502b21479011b9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6502b21479011b9a8f53148872f014f6bd7aa705f72815adee8667d3318d4771"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000984.json b/manifests/batches/numina/000984.json
index 7d4815c3c0442b67b4ee335b7e2ae1326fe0197f..953ce3248d23e73443ba41fe4460f7f9bb6e25b3 100644
--- a/manifests/batches/numina/000984.json
+++ b/manifests/batches/numina/000984.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000984",
   "batch_fingerprint": "c6026984b97582b676c60d7525b6e66c9ae872299ee7d3434aa06caaf623a821",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000984-0000-40ce11687ef4c39b.parquet",
-      "sha256": "40ce11687ef4c39b84fad640cef201b83e10d9354c201d48dca600cb233879a9",
-      "bytes": 484341,
-      "rows": 19,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/train/numina-000984-0001-c4a4aba802a5377d.parquet",
-      "sha256": "c4a4aba802a5377d825494eb75844fa7f6464d7edaefac37f6f3398becfd669a",
-      "bytes": 232613,
-      "rows": 2,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01b25a0f-3bf9-57df-a3cf-ec3253a0fe4c",
     "numina:6328fe66-7b64-5212-b5d7-321f4bb885cd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004922.lean\",\"7e4c92ca5d9b418aea125d545b2e78dcf9eecc72f532d9e1207140dbd0d1bab6\",0,\"algebra_604369\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004923.lean\",\"ed1f09ae0abbdabbeb7c552ae390ac6b3383960d707b1d73be21a0bf583023d9\",0,\"algebra_9148\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004924.lean\",\"ac9f86b9ba13f4de57a7ffb672de324a0f5b9cf80de313dd4ff9dee75ce7063c\",0,\"number_theory_611486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484341,
+      "path": "data/train/pd1/numina-000984-0000-40ce11687ef4c39b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "40ce11687ef4c39b84fad640cef201b83e10d9354c201d48dca600cb233879a9"
+    },
+    {
+      "bytes": 232613,
+      "path": "data/train/pd1/numina-000984-0001-c4a4aba802a5377d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c4a4aba802a5377d825494eb75844fa7f6464d7edaefac37f6f3398becfd669a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000985.json b/manifests/batches/numina/000985.json
index df7fc240d4c6804f734bfeeef72ab8f5fb5152cd..88c1d9ba915aae96591a85124cf06258c2a7c8bd 100644
--- a/manifests/batches/numina/000985.json
+++ b/manifests/batches/numina/000985.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000985",
   "batch_fingerprint": "148c5a007f88c2781e81090beabace5b24f73d170e7a22132e2ce1bc5dcae92d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000985-0000-ab6710c2d8c02568.parquet",
-      "sha256": "ab6710c2d8c02568e11e2afb32fdfc0fab7cced3379d017f2ec74984a1d2824b",
-      "bytes": 194244,
-      "rows": 23,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    },
-    {
-      "path": "data/dev/numina-000985-0000-af797def77a6a046.parquet",
-      "sha256": "af797def77a6a046ca7dad23033a46f082740c30a604ac9632ebcea95511b9e0",
-      "bytes": 47295,
-      "rows": 6,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d40dbec-1585-5adf-8b58-f4c9f39cbf18",
     "numina:2c66820b-32ba-5886-98e3-312c22a395df",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004927.lean\",\"cdb091282a7b2f2a27c1a96b9be3d04ea6f793d6fa2af4b9900adfad63921788\",0,\"algebra_9149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004928.lean\",\"52706f25290312be1d56e41e867c0321cda4d72dd57942998e1e341c8b981ccf\",0,\"algebra_97509\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004929.lean\",\"f52eec56e570e99625773e567beb1a46f7046be87882bdd74c5171f860a20187\",0,\"number_theory_162314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194244,
+      "path": "data/train/pa4/numina-000985-0000-ab6710c2d8c02568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ab6710c2d8c02568e11e2afb32fdfc0fab7cced3379d017f2ec74984a1d2824b"
+    },
+    {
+      "bytes": 47295,
+      "path": "data/dev/pa4/numina-000985-0000-af797def77a6a046.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "af797def77a6a046ca7dad23033a46f082740c30a604ac9632ebcea95511b9e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000986.json b/manifests/batches/numina/000986.json
index 8fc2a3c6a6957defb896f56f72136bdda1b3ff86..71471db669a80b5c6c08a539798be34787ae9c47 100644
--- a/manifests/batches/numina/000986.json
+++ b/manifests/batches/numina/000986.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000986",
   "batch_fingerprint": "65a87a95b004c2a276d38829d037e65143908cc0df20fc02ad0d42a91ce99cea",
   "evidence": {
@@ -51,15 +50,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000986-0000-42cb370e4e4eac1f.parquet",
-      "sha256": "42cb370e4e4eac1fcd66952b06f23f10e1d7e276bd2926c67a82f7c47cfa128d",
-      "bytes": 152694,
-      "rows": 27,
-      "revision": "3dee2de02ad4efd0d81e8d3cd35fc07bee6ba31a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22917dd6-07f1-5cb0-ae1d-d230a34bc284",
     "numina:5e9c62ea-e432-5bf9-8539-45edd82cccce",
@@ -71,5 +62,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004931.lean\",\"e25a8816eae0618073546ca14fe8f5b20ebef9714d92fa6992c8df291dcfc87f\",0,\"algebra_605812\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004932.lean\",\"522e8932d81eec7939c21df2ad67dcabefa6c5242021b1983d4219e65cf2b1d5\",0,\"number_theory_140248\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004933.lean\",\"eaa72f28b2e5b0e251cc70f587d3a268470a7759f079626243c23981eedf2c17\",0,\"algebra_13734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152694,
+      "path": "data/train/pd4/numina-000986-0000-42cb370e4e4eac1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "42cb370e4e4eac1fcd66952b06f23f10e1d7e276bd2926c67a82f7c47cfa128d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000987.json b/manifests/batches/numina/000987.json
index 25d91212ddb61f87de4914c0e46d8aac84701993..962c055bf64fee2b24cf82cafadb493fbfd8b711 100644
--- a/manifests/batches/numina/000987.json
+++ b/manifests/batches/numina/000987.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000987",
   "batch_fingerprint": "3d1ee46ced85bb10abbfe6b10f069dcde068e691b06d8fd50b4c4b79b0e5c962",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000987-0000-86afbfe0708a6d49.parquet",
-      "sha256": "86afbfe0708a6d49275a84b159e7dac12ca4a0d98cd639b69a232e62828e0948",
-      "bytes": 366249,
-      "rows": 35,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    },
-    {
-      "path": "data/internal_test/numina-000987-0000-754bfc38ae3bbec1.parquet",
-      "sha256": "754bfc38ae3bbec1e9cfb14a77b579a0115b796249ef40dcf00d6f984853e51e",
-      "bytes": 560391,
-      "rows": 11,
-      "revision": "410df628b77c5ec105dbefcf5afc258f749ab8da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:42a91cee-cbc2-5c68-9944-725e4d648a4d",
     "numina:4468d9ff-addb-5e4a-b52b-032f5b05b8fb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004937.lean\",\"97f34a8a3a21f8015e2e54d750df714493cbd099c3a272f2ef2dc96666359a30\",0,\"number_theory_604245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004938.lean\",\"ce9319fbf99f27b8956b7c726e44f6f7a94dc94e65aee97344d50e4e645c7cef\",0,\"number_theory_163284\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004939.lean\",\"817fa723b199f1f9779c33aa6c07d52987b612e1bf0f34b58b2e6566a1b7ac89\",0,\"algebra_9195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366249,
+      "path": "data/train/p56/numina-000987-0000-86afbfe0708a6d49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "86afbfe0708a6d49275a84b159e7dac12ca4a0d98cd639b69a232e62828e0948"
+    },
+    {
+      "bytes": 560391,
+      "path": "data/internal_test/p56/numina-000987-0000-754bfc38ae3bbec1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "754bfc38ae3bbec1e9cfb14a77b579a0115b796249ef40dcf00d6f984853e51e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000988.json b/manifests/batches/numina/000988.json
index ef9d46689b52d6108194fb6192c7e8ab68b0116a..3f844082a09b7d006e99c749dc4fb7c62875a3c3 100644
--- a/manifests/batches/numina/000988.json
+++ b/manifests/batches/numina/000988.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000988",
   "batch_fingerprint": "0717b552017c478e4536711da1ebaff9970329117a1d646e51c780fa4a038eab",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000988-0000-59a5be1f88cc22cb.parquet",
-      "sha256": "59a5be1f88cc22cb31084e28ba45ec7c480ff8bc1651cac6f3b6a45c451cac66",
-      "bytes": 235231,
-      "rows": 29,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e0ee7fb-ffb2-5b16-bfaf-b398abfd33d6",
     "numina:10bf58b8-51cc-5a02-b9ae-01e8acf9cceb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004942.lean\",\"6f351a845626f487e9e003514112d091ac1dc60e4cd6ed5973a8f785e0625410\",0,\"algebra_261012\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004943.lean\",\"2c0a9b3857c8393ced5d2c000ede75000c6002bc8c0b78e825c347b7ebf79153\",0,\"algebra_14591\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004944.lean\",\"cc7bf618231bdac5ce7b46b9220133e10b054dd545008dc49ab059f6558bd8a1\",0,\"algebra_9199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235231,
+      "path": "data/train/pf5/numina-000988-0000-59a5be1f88cc22cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "59a5be1f88cc22cb31084e28ba45ec7c480ff8bc1651cac6f3b6a45c451cac66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000989.json b/manifests/batches/numina/000989.json
index 7ef0ae7afa75c1a3661a7f68b8c6f60b0e04551c..63be9702e92b7fa2096dbfb1ff40f3f6fc2659e7 100644
--- a/manifests/batches/numina/000989.json
+++ b/manifests/batches/numina/000989.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000989",
   "batch_fingerprint": "aacd73b4e15b2a10bdc9f72e2d7789b0566461c0e6b4abf9227765a3e4b5ac3c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000989-0000-d134520427b03a97.parquet",
-      "sha256": "d134520427b03a97a5febab831f81f2c198e6f3dd63068a4ff88ad14dc6db678",
-      "bytes": 245705,
-      "rows": 24,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/numina-000989-0000-8768949bcf0485ab.parquet",
-      "sha256": "8768949bcf0485ab6b18c0366e191d40e9e19083e83f70ca37c87672f0fcea5f",
-      "bytes": 143772,
-      "rows": 15,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:848f922c-0855-507b-9001-eb7b91b35bfc",
     "numina:90140059-54eb-5b22-a340-f82bfd3b76cd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004947.lean\",\"46c7faa623002e6468f3be07bdb328b01897132fc19df88e65f32051ca00cd0c\",0,\"algebra_9200\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004948.lean\",\"6bc527c9bd1de2abc977240213e212bce91938823598922d44e6f06768db60b3\",0,\"algebra_16456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004949.lean\",\"ac5be928ed9ff3172381bf7891945031fabba552a8cebfdf33dc7a1fdd9ef64a\",0,\"number_theory_97633\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245705,
+      "path": "data/train/p27/numina-000989-0000-d134520427b03a97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d134520427b03a97a5febab831f81f2c198e6f3dd63068a4ff88ad14dc6db678"
+    },
+    {
+      "bytes": 143772,
+      "path": "data/dev/p27/numina-000989-0000-8768949bcf0485ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8768949bcf0485ab6b18c0366e191d40e9e19083e83f70ca37c87672f0fcea5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000990.json b/manifests/batches/numina/000990.json
index 93673bd414ffe63ec3ea29d22f74e5b5051c05ac..c5ba646bcffe12731255378d62e7b58420048b29 100644
--- a/manifests/batches/numina/000990.json
+++ b/manifests/batches/numina/000990.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000990",
   "batch_fingerprint": "62988f2801df01c258a459de6576ffceacaf8712071c501c3bada90d760c7efa",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:7283cf08-4d7f-557d-9afc-d600a9ddee6e",
+    "numina:7743ff91-f33e-5fd2-8364-38ce0b049722",
+    "numina:7d3b55e0-7416-59e3-b94e-a23d67a519e6",
+    "numina:8c2434f7-454b-5dbb-b305-8569afaab201",
+    "numina:fc07e083-1d8d-5669-8be4-c3a7d6f6ac40"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004950.lean\",\"d122192a28c65254ea9087071c528dd86f7b6cf9b5fa48ad94266dce8c9810ed\",0,\"algebra_9204\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004951.lean\",\"1a6a530ea445a459041296857a35daf76bc20bdac06b989f9a2738b8cdf04562\",0,\"algebra_97307\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004952.lean\",\"66fa51656cc936ce9d4d0e68aebef92d8580e8cf49157588490fc30f81da4b89\",0,\"algebra_714\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004953.lean\",\"444a4c4f63d3c62ddf68bc62927fcf43e789edeb18d5d3281d551e1eeb1d5056\",0,\"N5\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004954.lean\",\"a2fb42cc32f434f5aad6c78101e097a4f089252a8b5169a9bf02d2ff2e0182d4\",0,\"algebra_11102\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-000990-0000-fe26b6f7e58f8aa8.parquet",
-      "sha256": "fe26b6f7e58f8aa8bc3a7f5fcca2be65583e72acf042e693d1b6227277dcf8c5",
       "bytes": 240951,
+      "path": "data/train/p90/numina-000990-0000-fe26b6f7e58f8aa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
+      "sha256": "fe26b6f7e58f8aa8bc3a7f5fcca2be65583e72acf042e693d1b6227277dcf8c5"
     },
     {
-      "path": "data/dev/numina-000990-0000-3187439edb48f54c.parquet",
-      "sha256": "3187439edb48f54c47d286199aab5817c6f4b2d0189675ef899fe519095c7b08",
       "bytes": 555253,
+      "path": "data/dev/p90/numina-000990-0000-3187439edb48f54c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
+      "sha256": "3187439edb48f54c47d286199aab5817c6f4b2d0189675ef899fe519095c7b08"
     },
     {
-      "path": "data/dev/numina-000990-0001-0a632e0a8e1c4de0.parquet",
-      "sha256": "0a632e0a8e1c4de02be182f1794cd1dc02f969c4333473865595806af16459bf",
       "bytes": 659008,
+      "path": "data/dev/p90/numina-000990-0001-0a632e0a8e1c4de0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
+      "sha256": "0a632e0a8e1c4de02be182f1794cd1dc02f969c4333473865595806af16459bf"
     },
     {
-      "path": "data/internal_test/numina-000990-0000-ff2408186d88a6fb.parquet",
-      "sha256": "ff2408186d88a6fb49bc6dd1a811aaafc27754641890d19e1ae1cf7d9f8b7455",
       "bytes": 102753,
+      "path": "data/internal_test/p90/numina-000990-0000-ff2408186d88a6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "6886c1ab7a2c98b713d64837aeddc2af8f70736d"
+      "sha256": "ff2408186d88a6fb49bc6dd1a811aaafc27754641890d19e1ae1cf7d9f8b7455"
     }
-  ],
-  "proof_ids": [
-    "numina:7283cf08-4d7f-557d-9afc-d600a9ddee6e",
-    "numina:7743ff91-f33e-5fd2-8364-38ce0b049722",
-    "numina:7d3b55e0-7416-59e3-b94e-a23d67a519e6",
-    "numina:8c2434f7-454b-5dbb-b305-8569afaab201",
-    "numina:fc07e083-1d8d-5669-8be4-c3a7d6f6ac40"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004950.lean\",\"d122192a28c65254ea9087071c528dd86f7b6cf9b5fa48ad94266dce8c9810ed\",0,\"algebra_9204\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004951.lean\",\"1a6a530ea445a459041296857a35daf76bc20bdac06b989f9a2738b8cdf04562\",0,\"algebra_97307\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004952.lean\",\"66fa51656cc936ce9d4d0e68aebef92d8580e8cf49157588490fc30f81da4b89\",0,\"algebra_714\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004953.lean\",\"444a4c4f63d3c62ddf68bc62927fcf43e789edeb18d5d3281d551e1eeb1d5056\",0,\"N5\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004954.lean\",\"a2fb42cc32f434f5aad6c78101e097a4f089252a8b5169a9bf02d2ff2e0182d4\",0,\"algebra_11102\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000991.json b/manifests/batches/numina/000991.json
index 0c49b61ffde2d2fe4b072a40eb5b0e458e74c5bc..f0ea6c52ef90ff6ed1f5f3c70e43ef20f83d8756 100644
--- a/manifests/batches/numina/000991.json
+++ b/manifests/batches/numina/000991.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000991",
   "batch_fingerprint": "02678e1adc05103dd8264e51cef1fa13cf60f32271301e218dab962b6084185d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000991-0000-81735bdd4cbefd28.parquet",
-      "sha256": "81735bdd4cbefd28cd81fe07801dd6e3c186a30ace4019d0f44ea6914006c9c8",
-      "bytes": 589176,
-      "rows": 77,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0203daf2-8245-52c5-a106-f9955460b6a9",
     "numina:1e1e0405-9092-5b98-bcf2-17e0a5653d89",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004957.lean\",\"8b5e13fd475f1073b8ad6341bcfe747dc1afc330903a5ce14ea0144c3ae2c7a6\",0,\"number_theory_607381\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004958.lean\",\"c8d1be8842b43779ac9f4cae6644cd8ccf90649668e7cc1ea928086e5dd91768\",0,\"algebra_251687\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004959.lean\",\"acae0ff7f56a449ab379e0e66f672198e1c89dfcabe75e04f395a27be62e462f\",0,\"number_theory_607382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589176,
+      "path": "data/train/p8b/numina-000991-0000-81735bdd4cbefd28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "81735bdd4cbefd28cd81fe07801dd6e3c186a30ace4019d0f44ea6914006c9c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000992.json b/manifests/batches/numina/000992.json
index b518bb60e0a61522434534e35ce6554046110fe5..84d8bb35d6cd088ae493deb53b47ab2ef19406c8 100644
--- a/manifests/batches/numina/000992.json
+++ b/manifests/batches/numina/000992.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000992",
   "batch_fingerprint": "f694eed74cfe0da7b4793c174430dc966885bc1178669f8031403dd881b4e6ba",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000992-0000-088a77b2bc2504a9.parquet",
-      "sha256": "088a77b2bc2504a9a599b59617ca5c6d153db11caa532097e9bf5a4d07c59a66",
-      "bytes": 247563,
-      "rows": 29,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02298a7a-a73f-5e3b-864d-91811c7246d1",
     "numina:2f35abf0-71ef-530c-b044-d9e157e1ce82",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004962.lean\",\"97de84fe7010f2393eb4c79044f256ffef3d3dc68b754a5a60bdf3117a09c1c7\",0,\"number_theory_14632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004963.lean\",\"a0504f7e0d33d9c54540ae2643d173ee5493863af9d7db3458d25ed91f750e99\",0,\"calculus_141664\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004964.lean\",\"78a4510880af38519f7277cb037c26034cd2e559dc4dbd9fa4e9acda46afc34c\",0,\"number_theory_14633\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247563,
+      "path": "data/train/p90/numina-000992-0000-088a77b2bc2504a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "088a77b2bc2504a9a599b59617ca5c6d153db11caa532097e9bf5a4d07c59a66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000993.json b/manifests/batches/numina/000993.json
index 77449124edf2ca5fcc2f5882b1208783455c426a..d16c3d34290f35d6886bdc4719a355f1641eed0b 100644
--- a/manifests/batches/numina/000993.json
+++ b/manifests/batches/numina/000993.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000993",
   "batch_fingerprint": "42fcb42d6d8b2d82b33169e8130e4e59ae7f9fb7149280ff54810c790da864fb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000993-0000-8bffa22da7be37aa.parquet",
-      "sha256": "8bffa22da7be37aa0fab9402e15ef94c9e1a90fdc858de265305210227657831",
-      "bytes": 565268,
-      "rows": 21,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46f6c402-7ea2-5c7a-82a1-7b79adffbb98",
     "numina:9a6f51a3-b23d-5a53-9b43-56fe8936bcba",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004967.lean\",\"94947ca935d41ccdf16f02a8addeb7678b5761ed751954c685e13777cc67cc1c\",0,\"algebra_14639\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004968.lean\",\"03018a7e63e357109da8a6c6f68cd8ea16804c07f6999009204a0f7c201b16d2\",0,\"inequalities_269153\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004969.lean\",\"cc63fcec37d9097ab8b4dc1707c682b988ca23c73698a31609ff5d24330c0e0b\",0,\"algebra_11150\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565268,
+      "path": "data/train/pda/numina-000993-0000-8bffa22da7be37aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8bffa22da7be37aa0fab9402e15ef94c9e1a90fdc858de265305210227657831"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000994.json b/manifests/batches/numina/000994.json
index e2cf1c6eae77f1b7393a0df2b4d6dc29f42b78b3..b9d4436f04f3836edf184de341de50b54aa9dc3a 100644
--- a/manifests/batches/numina/000994.json
+++ b/manifests/batches/numina/000994.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000994",
   "batch_fingerprint": "b32556ab60155b402e0f02e37f155d5e2f9bd5ee519a48829ed60d2db020696d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000994-0000-6862381c4b07d788.parquet",
-      "sha256": "6862381c4b07d78886362a9ea483a7360ead4f6cd958ad98f0fb5bb881adb53f",
-      "bytes": 568886,
-      "rows": 40,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    },
-    {
-      "path": "data/dev/numina-000994-0000-f51921c41f45e78f.parquet",
-      "sha256": "f51921c41f45e78fe5082c66a4e12e5101498b69cdda4cbadffab12df1c56df2",
-      "bytes": 74024,
-      "rows": 11,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:373cabfa-0fc0-532f-92ac-d5e704aa8c7e",
     "numina:512e1ab2-1cc8-5e11-b432-8b87701f77e3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004972.lean\",\"05700c34f4f5ebeb1c0b98b1ed9c25075c23b0d96ca4e9baf8be275082b229ed\",0,\"algebra_607509\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004973.lean\",\"1d0a147459d0f513e5a6950e6d9c2dd3b9a05b8db214cd17180747d09c1c049d\",0,\"number_theory_63976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004974.lean\",\"61d5d32ff1d482f56d16cec348880e4ddb187f8fae8f3d5f9603b59be03c89a7\",0,\"algebra_608072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 568886,
+      "path": "data/train/p36/numina-000994-0000-6862381c4b07d788.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "6862381c4b07d78886362a9ea483a7360ead4f6cd958ad98f0fb5bb881adb53f"
+    },
+    {
+      "bytes": 74024,
+      "path": "data/dev/p36/numina-000994-0000-f51921c41f45e78f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f51921c41f45e78fe5082c66a4e12e5101498b69cdda4cbadffab12df1c56df2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000995.json b/manifests/batches/numina/000995.json
index 763e760ffd3755678c45aa6e19d29eff4df703ec..5a8b6d176b23b1fc6d2b9d98ebac26ab97abceda 100644
--- a/manifests/batches/numina/000995.json
+++ b/manifests/batches/numina/000995.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000995",
   "batch_fingerprint": "7e5d25e34a5df6f2cdba590ebd2504fc9a274111b9afa913cd5016e696105dab",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000995-0000-d6b4b3fe16a7f216.parquet",
-      "sha256": "d6b4b3fe16a7f216993de69a642a642edef08444dca07e4fcb4dce6b1db5b5b9",
-      "bytes": 579549,
-      "rows": 38,
-      "revision": "2428625f3f6e1a7152bd17e4a27a223f0f36745c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bb48d54-1f35-5f76-a5df-af140bd5055f",
     "numina:26694cf0-e6b0-5033-adc0-348455bcde68",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004977.lean\",\"80e79a0dbfccaad47d5053b1d5c56cf3d27808949db0865c24300a94fc614a36\",0,\"algebra_94195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004978.lean\",\"9b4f787e185ddca2133f130ad55a050ba2a6f61a34b627422a8efec26961a59e\",0,\"algebra_255385\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004979.lean\",\"70c0e20d5f17850189e9bd4619b3e6ba9cb8a0be25e1723bb37b65b23846150c\",0,\"algebra_19869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 579549,
+      "path": "data/train/p39/numina-000995-0000-d6b4b3fe16a7f216.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "d6b4b3fe16a7f216993de69a642a642edef08444dca07e4fcb4dce6b1db5b5b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000996.json b/manifests/batches/numina/000996.json
index d379a7ab431de5e2b29b186044760eb8ac6a8f64..9dd641141e807cc02cd2c76713a450e46a488dad 100644
--- a/manifests/batches/numina/000996.json
+++ b/manifests/batches/numina/000996.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000996",
   "batch_fingerprint": "aa292473d9c87a2dddc09c868b5914e8743225e57e47960f059501330e5812cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000996-0000-bb5816ed20604398.parquet",
-      "sha256": "bb5816ed20604398ad8d5542f11c620d0b638b6c5aa72fbb033fab50a7bbf08b",
-      "bytes": 301486,
-      "rows": 33,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ed8b991-9b89-5f41-a6ef-a1280397c726",
     "numina:412ad836-deac-59f2-9e53-61c56ceab64f",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004982.lean\",\"70e21e84439a09908e661a5027dfa4d175c85c3ad21a4615481e22dc83078fcb\",1,\"number_theory_4956_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004983.lean\",\"7dd81b3185ef7d766365a697c22b3c01d18e72a516d6ac45cc7041f9c52c5734\",0,\"algebra_608090\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004984.lean\",\"6f558e0804b8ad5e9e6af31c6a396c5abed20ed87914af4e86c143e7880548ea\",0,\"algebra_94221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301486,
+      "path": "data/train/p77/numina-000996-0000-bb5816ed20604398.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "bb5816ed20604398ad8d5542f11c620d0b638b6c5aa72fbb033fab50a7bbf08b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000997.json b/manifests/batches/numina/000997.json
index 5f316aba055db12dc48d26956bf9fbafc909befb..f7bf8ac6dfe6334161042b4218293a605752b53a 100644
--- a/manifests/batches/numina/000997.json
+++ b/manifests/batches/numina/000997.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000997",
   "batch_fingerprint": "eeb64f49a0fdb1a79a30aed6b971ab36fb21e4d48ce031d63ea9d65bf77f52c7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000997-0000-63c642502d51a624.parquet",
-      "sha256": "63c642502d51a6247e99e1fad173ba552fae80a0cb175f4c2995c78dca3e8b68",
-      "bytes": 759778,
-      "rows": 35,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/train/numina-000997-0001-defc7b165b4fe364.parquet",
-      "sha256": "defc7b165b4fe364b9cc01a78e5002e1aa1145adad8bcac36574013d7480e65d",
-      "bytes": 85988,
-      "rows": 1,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:195f308a-78b5-5eff-ab15-65fb5f2034f5",
     "numina:7898e1a8-df15-5484-96c7-beff4fa16bbe",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004987.lean\",\"d9157559694b7862bce437af474402ea17bf16098e9a8245b9ae805dd39ea3cd\",0,\"algebra_3215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004988.lean\",\"03ae0d97463ac0fa279ab809c59f88ce8336730cac39e6173b7b4ebdc21ea640\",0,\"inequalities_604347\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004989.lean\",\"1ddde566ecc5c53028d2bd2e0d50b8f6a878ab8887d32a48aa153d95476fd83e\",0,\"other_24354\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 759778,
+      "path": "data/train/pa0/numina-000997-0000-63c642502d51a624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "63c642502d51a6247e99e1fad173ba552fae80a0cb175f4c2995c78dca3e8b68"
+    },
+    {
+      "bytes": 85988,
+      "path": "data/train/pa0/numina-000997-0001-defc7b165b4fe364.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "defc7b165b4fe364b9cc01a78e5002e1aa1145adad8bcac36574013d7480e65d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000998.json b/manifests/batches/numina/000998.json
index e2abe7d9fdbc3beb7a4ae8c6c0c815e26acf1277..92c5df047f15fb2bfc4e640f5c6764ef875f1526 100644
--- a/manifests/batches/numina/000998.json
+++ b/manifests/batches/numina/000998.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000998",
   "batch_fingerprint": "d2a0ef8b2ef2612de66228e44d297e16b521b3c26b62103ed732893bb28a5252",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000998-0000-5c4d2059dfdd4e9d.parquet",
-      "sha256": "5c4d2059dfdd4e9d7c5f8d3b5e4ba742dc9d3554a7f47300d03f6f6829f804ee",
-      "bytes": 404963,
-      "rows": 24,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:70066e61-fba0-50e6-8cb1-0c010f7d869c",
     "numina:720b4124-dbfd-5985-8d50-28d220490cdb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004992.lean\",\"913e43a8412ec1036192f137cda50881912be8311f0bfa32ba3b17dae2afa20c\",0,\"number_theory_5643\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004993.lean\",\"c6028ccabc795e9809b7c1403883e664e10b155d0cf6e9819fa22818069f22a4\",0,\"number_theory_609541\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004994.lean\",\"0c66e18cbd39b7b75de172f96d467c4f7174003d3df8c9c32c6738c943f6da8a\",0,\"algebra_211088\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404963,
+      "path": "data/train/p4a/numina-000998-0000-5c4d2059dfdd4e9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5c4d2059dfdd4e9d7c5f8d3b5e4ba742dc9d3554a7f47300d03f6f6829f804ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/000999.json b/manifests/batches/numina/000999.json
index 8889b6c02474cac335c9af0a3a8972b2cfd22cad..62ae8534b93cd64bb6cbeaa621f4517279aafce4 100644
--- a/manifests/batches/numina/000999.json
+++ b/manifests/batches/numina/000999.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/000999",
   "batch_fingerprint": "bca5453e6c34a860f344f856b67d690d049e841637d508fcd28f4f3904d65d16",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-000999-0000-e8393dc30327f70f.parquet",
-      "sha256": "e8393dc30327f70f945ab2dea831587f26b5c2bbb6b0592759cc0e9e956fd1b5",
-      "bytes": 136725,
-      "rows": 27,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/numina-000999-0000-e71f69b4c09a722f.parquet",
-      "sha256": "e71f69b4c09a722f938395bb9f185f1e6af1eb6352c6fc4e6ec4cfe03b38f12b",
-      "bytes": 40397,
-      "rows": 5,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2a792259-0972-5ce0-a1de-0a77dbdfeeaf",
     "numina:52f9db51-bf27-52d2-b197-1086a2adda84",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004997.lean\",\"44f1607e19474abca56d655f2c831053f410198d9097d8c216cbf3beb901e98d\",0,\"algebra_10229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004998.lean\",\"a8cf62d7c8fde47ca84f5364957fc3bd663466ae95d5c15a61969c80c74ad3c0\",0,\"algebra_609847\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_004999.lean\",\"ebd0e1ef05180d9c046936ff5d7359d46d9732c08dc62b94c1220719ac848ae4\",0,\"algebra_10230\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136725,
+      "path": "data/train/p7d/numina-000999-0000-e8393dc30327f70f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e8393dc30327f70f945ab2dea831587f26b5c2bbb6b0592759cc0e9e956fd1b5"
+    },
+    {
+      "bytes": 40397,
+      "path": "data/internal_test/p7d/numina-000999-0000-e71f69b4c09a722f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e71f69b4c09a722f938395bb9f185f1e6af1eb6352c6fc4e6ec4cfe03b38f12b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001000.json b/manifests/batches/numina/001000.json
index aee0321201d6ab087120a5878fa56d1b85fb8a65..87284bac41ef32098ee47e7d34c500128a130fd5 100644
--- a/manifests/batches/numina/001000.json
+++ b/manifests/batches/numina/001000.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001000",
   "batch_fingerprint": "88097f8a3dddffcaecacb72f8bafb0d80d972aa32311275440e7117ee9f35e6b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001000-0000-7a8df412dff0fe93.parquet",
-      "sha256": "7a8df412dff0fe93c2010e8744bfc203525f5e79d00f561f7568294223078db4",
-      "bytes": 322018,
-      "rows": 20,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23a76974-5bda-5565-a874-1e28c784e0c7",
     "numina:2c63a937-3e25-5a6c-acda-fd84a5ceccf8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005002.lean\",\"3cc757533700155455b091351145f8ce85773c691f2b1828363033a39b83c87b\",0,\"number_theory_607177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005003.lean\",\"28b65976a7c6c8aea98e15d8b65c6cdc85a825bcca9b9d8efeeb07e7c1b03bf7\",0,\"algebra_11633\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005004.lean\",\"ee35702bc816b04613d7fffd09a1de24dfdcad055be9d04e05f173273cfd5a11\",0,\"algebra_607922\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322018,
+      "path": "data/train/p10/numina-001000-0000-7a8df412dff0fe93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7a8df412dff0fe93c2010e8744bfc203525f5e79d00f561f7568294223078db4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001001.json b/manifests/batches/numina/001001.json
index c6430803b5f8f40c34fa66bde1e3778494467cc6..ddf1619e4f9ae0734efe4ef21876af4178bb6a10 100644
--- a/manifests/batches/numina/001001.json
+++ b/manifests/batches/numina/001001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001001",
   "batch_fingerprint": "014b9ab79b8255a50df151b18632e71bb302f89577baba289b8a93624af22532",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001001-0000-5ae1dd14e6685907.parquet",
-      "sha256": "5ae1dd14e6685907fbfc796ae493ece8b6d09b1453b66e39bbbf0373e525bfd3",
-      "bytes": 647882,
-      "rows": 35,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:007a0fab-2166-505a-99a7-6dff195d77b7",
     "numina:35c9396f-9ee8-5563-bc06-80cebf1796fe",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005007.lean\",\"d9fee70dac90e9f6c85dadf869d5cba2fda8a3c42bf116fc230a0a5a33fed087\",0,\"aime_algebra_715\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005008.lean\",\"6f9f691eabdaf9ba1ed8ef04808211700dacbc7401c4d99925a4f85cd0f4e6c2\",0,\"inequalities_605082\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005009.lean\",\"7b86231f2879380c0994564f8e29073438368e5c6565e6224afb3f5883b8ef06\",0,\"number_theory_4462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 647882,
+      "path": "data/train/p7c/numina-001001-0000-5ae1dd14e6685907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "5ae1dd14e6685907fbfc796ae493ece8b6d09b1453b66e39bbbf0373e525bfd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001002.json b/manifests/batches/numina/001002.json
index 536fb241526c9a24937b3a259514663b54aea953..8b093e54897e2cdaf25eacfd6bed6169e3625498 100644
--- a/manifests/batches/numina/001002.json
+++ b/manifests/batches/numina/001002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001002",
   "batch_fingerprint": "b8328ce28c279cf8e3f65953ea619cf39515fcc89c082d2f449067647d0114fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001002-0000-ef8903ede0db8847.parquet",
-      "sha256": "ef8903ede0db884751e74ab8700d28e903a8db6d4908da8c1553699a84b3fa13",
-      "bytes": 444310,
-      "rows": 37,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    },
-    {
-      "path": "data/internal_test/numina-001002-0000-aa267af069484547.parquet",
-      "sha256": "aa267af0694845476dd49ab8cd5c236c2f3045c6b0c3c8d7d6731b65925129b8",
-      "bytes": 229194,
-      "rows": 40,
-      "revision": "3590753b680b8e28dc2714818766a6fd7f4a158f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:479348e8-d461-55ba-9c30-2da3fed6f3a2",
     "numina:5e8df97e-4f26-58b1-8e2a-e93b16305534",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005012.lean\",\"31e10d6be288cfcb2888bbf5262ee1348088355b4f0ccd816199550e17d8e3e0\",0,\"algebra_604717\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005013.lean\",\"7dab892754ff1511889bfa9091590e5738e9f969f86fc1fab828aba97bb18d5a\",0,\"number_theory_607183\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005014.lean\",\"92d2fa74447fe8691e2a6eade66cc5d10905e88ece508d566d6d9865c613da7a\",0,\"algebra_21847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 444310,
+      "path": "data/train/p1e/numina-001002-0000-ef8903ede0db8847.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ef8903ede0db884751e74ab8700d28e903a8db6d4908da8c1553699a84b3fa13"
+    },
+    {
+      "bytes": 229194,
+      "path": "data/internal_test/p1e/numina-001002-0000-aa267af069484547.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "aa267af0694845476dd49ab8cd5c236c2f3045c6b0c3c8d7d6731b65925129b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001003.json b/manifests/batches/numina/001003.json
index c8c908b230a495253b56455c9fea6c8ecb1a954c..45a41b8c78051c3fc7df8cb0f214a61f299c2a6c 100644
--- a/manifests/batches/numina/001003.json
+++ b/manifests/batches/numina/001003.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001003",
   "batch_fingerprint": "f1d9867ebd414110cc5fbd5d970c18c6ab37000ce2fd7cb0b22541f5657e8252",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001003-0000-558a1692fb61711f.parquet",
-      "sha256": "558a1692fb61711f97eec864a90450c5ac8147576cdc51e128adad75fb984f7b",
-      "bytes": 678015,
-      "rows": 39,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/train/numina-001003-0001-6f3678eefb83266f.parquet",
-      "sha256": "6f3678eefb83266faf8cfd561ea28a745b1150cbb86485602fcb25bd8813cccc",
-      "bytes": 618579,
-      "rows": 24,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    },
-    {
-      "path": "data/train/numina-001003-0002-4c13b9a79602b97a.parquet",
-      "sha256": "4c13b9a79602b97a6e973a6f3c5a931688082fa6d044df9af368cc0354e8dd26",
-      "bytes": 123375,
-      "rows": 4,
-      "revision": "c33df7cde6927248e69ebfc25580de2e9683e1af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8377efb6-4172-5050-bc73-7009dae5e996",
     "numina:90ad9872-c5d6-51ea-a0c8-2741939db2be",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005017.lean\",\"7b86bfba81b7e5a15e032c5046598c76b40e5d3c456c46c069374e0a5a631919\",0,\"calculus_12761\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005018.lean\",\"9f638e940857acca5648769c962fcd952868df829520d28d42729c3727ebcf94\",2,\"number_theory_4464_3\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005019.lean\",\"e3464003e6c0cffa23d5334ccb4e75d190462ee18567da27c8b1f486808bcbf9\",0,\"number_theory_604721\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 678015,
+      "path": "data/train/pf4/numina-001003-0000-558a1692fb61711f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "558a1692fb61711f97eec864a90450c5ac8147576cdc51e128adad75fb984f7b"
+    },
+    {
+      "bytes": 618579,
+      "path": "data/train/pf4/numina-001003-0001-6f3678eefb83266f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6f3678eefb83266faf8cfd561ea28a745b1150cbb86485602fcb25bd8813cccc"
+    },
+    {
+      "bytes": 123375,
+      "path": "data/train/pf4/numina-001003-0002-4c13b9a79602b97a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4c13b9a79602b97a6e973a6f3c5a931688082fa6d044df9af368cc0354e8dd26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001004.json b/manifests/batches/numina/001004.json
index 05638f0af9da5095b0bbd387af782dac1ee05022..297f8c0b3cc2ab19847b182a13af7c37a2a4f190 100644
--- a/manifests/batches/numina/001004.json
+++ b/manifests/batches/numina/001004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001004",
   "batch_fingerprint": "1838cbe12ee998dc7d1c458f5be68882a58f3b6ae9356359ab33ba4f69266b87",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001004-0000-7d718dc5156b79ed.parquet",
-      "sha256": "7d718dc5156b79eda242da1e129e2ac067f9249a1cf67b48a79df87d1388afa9",
-      "bytes": 295254,
-      "rows": 23,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/numina-001004-0000-5876a6bb9614cf1e.parquet",
-      "sha256": "5876a6bb9614cf1e2c57393fe30899d462334ffa5d9f02ee93e69c0e6e2c311c",
-      "bytes": 96115,
-      "rows": 6,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15ae0940-c749-536c-b69c-a0925512df10",
     "numina:47b45191-a1fb-52a0-b81e-8b710885b61d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005022.lean\",\"a8803afb2f4e93f1feaa25c549f9e058dc3d83a882154222cffe006671f6748d\",0,\"algebra_10273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005023.lean\",\"45986ad7e4325786f99a58514f03cde21fdbe9274adb77953a82e8bfba25ecc6\",0,\"algebra_12932\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005024.lean\",\"c00f3c1e0006ce5792c2112aecb182520a7e84d1ae08cb0b99486445ac659190\",0,\"algebra_10274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295254,
+      "path": "data/train/paf/numina-001004-0000-7d718dc5156b79ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7d718dc5156b79eda242da1e129e2ac067f9249a1cf67b48a79df87d1388afa9"
+    },
+    {
+      "bytes": 96115,
+      "path": "data/dev/paf/numina-001004-0000-5876a6bb9614cf1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5876a6bb9614cf1e2c57393fe30899d462334ffa5d9f02ee93e69c0e6e2c311c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001005.json b/manifests/batches/numina/001005.json
index f593e536531566ef0984be1c1cd1150ab0bd03f1..bed438e7d893abc799948029e6233de6059670ec 100644
--- a/manifests/batches/numina/001005.json
+++ b/manifests/batches/numina/001005.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001005",
   "batch_fingerprint": "76791a7e4c89eab18f62e7ff235d4d537aa2d299d87088c293793214a0315a04",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001005-0000-cd9e62432e55f894.parquet",
-      "sha256": "cd9e62432e55f8941afb41960d1c28e264edde29af5108c8c6f33e6b4a46f92d",
-      "bytes": 339470,
-      "rows": 33,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c2e5aec-672d-5358-8bdc-db6e1c84acdd",
     "numina:6fa72a27-73d6-51de-835b-6b1928baf653",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005027.lean\",\"97b47a9b7cce7e89a462fce6928ca45d97f776aff92728e5a952ed10db1882d6\",0,\"algebra_20209\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005028.lean\",\"462d5c6c4d9a6f120e33dfaf14f9e9faa1b2d4d1d3a54e1a1215c6802d24c909\",0,\"algebra_12777\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005029.lean\",\"75ddc8954ad94f972879479adcb66706f67d982dfa1c3976c2b20eb78a342275\",0,\"algebra_97661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339470,
+      "path": "data/train/p28/numina-001005-0000-cd9e62432e55f894.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "cd9e62432e55f8941afb41960d1c28e264edde29af5108c8c6f33e6b4a46f92d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001006.json b/manifests/batches/numina/001006.json
index e58e66c363df0bb6da9135651e26e3b414543f8e..9a098d1563a04b8edb3b1aa62e5d73d9d372b91a 100644
--- a/manifests/batches/numina/001006.json
+++ b/manifests/batches/numina/001006.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001006",
   "batch_fingerprint": "cf86efa4c62470629a9c7187bdc1fc29034da0aa979776d4a7c89cded7a4a882",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001006-0000-d066b8b80fc4f59d.parquet",
-      "sha256": "d066b8b80fc4f59d535c548d6af55c540536f17f118bb650f5bffc189946a8ad",
-      "bytes": 48891,
-      "rows": 7,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/numina-001006-0000-fbb49f3a2b53a434.parquet",
-      "sha256": "fbb49f3a2b53a434f4d5bf36fb28f9403ad134b284a34a40e4cceb2e437d036d",
-      "bytes": 644974,
-      "rows": 10,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:374d9dc9-7ed1-5217-b4c3-93dca699d66b",
     "numina:40e83a73-b574-5c02-96d8-9a7b7ad00b7b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005032.lean\",\"37f264fe81f203096385a250f72165ddcadb78f3c48286ee75de07507b9cf2e2\",0,\"algebra_97285\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005033.lean\",\"809f043cd59cc86bbe5d87d706a34574cd1991725b4aac1946081c6fdcedb214\",0,\"algebra_95281\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005034.lean\",\"53b382af5ff6bcbc3cfb027b4388919f4d592fecd9507a353eb532d133b5ef6e\",0,\"algebra_97295\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48891,
+      "path": "data/train/p6c/numina-001006-0000-d066b8b80fc4f59d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d066b8b80fc4f59d535c548d6af55c540536f17f118bb650f5bffc189946a8ad"
+    },
+    {
+      "bytes": 644974,
+      "path": "data/internal_test/p6c/numina-001006-0000-fbb49f3a2b53a434.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fbb49f3a2b53a434f4d5bf36fb28f9403ad134b284a34a40e4cceb2e437d036d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001007.json b/manifests/batches/numina/001007.json
index 3b63b47d8be4a5069bf0a7b59122c3e8e6200b4c..cf8062f28e19fe93db7c4b1f59367216d3108969 100644
--- a/manifests/batches/numina/001007.json
+++ b/manifests/batches/numina/001007.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001007",
   "batch_fingerprint": "5cdb587a5dcbfaf3b9dbcb6d6d35cb9746db1d4e65328dee38327a5845416341",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001007-0000-bdfe785b4b7941c2.parquet",
-      "sha256": "bdfe785b4b7941c25110bc95c4fcd97c05bf89d0fa471a0ecded2c4585f4e7cf",
-      "bytes": 552508,
-      "rows": 20,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    },
-    {
-      "path": "data/train/numina-001007-0001-739434c374b61ff7.parquet",
-      "sha256": "739434c374b61ff72e8175826f5edc32b962ccf6bc66f06ecb7249a6c3f2696d",
-      "bytes": 86773,
-      "rows": 9,
-      "revision": "46b6cf805e5c4ca21e30a56bd79b15f3f6e4a43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:49d5c301-bf54-5cf8-8072-8169e3d323d1",
     "numina:5e1ff86b-9e0d-5a0f-8080-7e6d9fe02d76",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005037.lean\",\"3040baf96fe0f2bb814811bb9d2c1298f3aa1e4d5910e5504118ff6d515b4de5\",0,\"number_theory_10291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005038.lean\",\"cc2f40a53d2346cf1be74d83616680e9983ef0333a1962218b107c2b987c3b17\",0,\"number_theory_4477\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005039.lean\",\"10a42e5cdb45ab744071c7ee5793a4a8472ab432760ab0d26f0e48dc5ff5ce7f\",0,\"algebra_94843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552508,
+      "path": "data/train/p7c/numina-001007-0000-bdfe785b4b7941c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "bdfe785b4b7941c25110bc95c4fcd97c05bf89d0fa471a0ecded2c4585f4e7cf"
+    },
+    {
+      "bytes": 86773,
+      "path": "data/train/p7c/numina-001007-0001-739434c374b61ff7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "739434c374b61ff72e8175826f5edc32b962ccf6bc66f06ecb7249a6c3f2696d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001008.json b/manifests/batches/numina/001008.json
index 44b3839bef546a0a558b253a12a8e60f80d41bcb..a29c3af18a5e2e67e54621e159586270048a4d1f 100644
--- a/manifests/batches/numina/001008.json
+++ b/manifests/batches/numina/001008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001008",
   "batch_fingerprint": "31cb57543e662323bd1a471747741e57ea3647481393bca58c178620cec51753",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001008-0000-8a05fc91538b474f.parquet",
-      "sha256": "8a05fc91538b474f0ce89f7c4598702a7240b543e2d5dd7ccdb6d80d2f9cce4e",
-      "bytes": 165573,
-      "rows": 17,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/numina-001008-0000-9aeed368f840a35d.parquet",
-      "sha256": "9aeed368f840a35deacc99a49daed03543bbfdc8097b5b342ef73fbfc16ab3bb",
-      "bytes": 36630,
-      "rows": 2,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44a15c50-ab92-5503-b147-048460ebd6c1",
     "numina:50577c22-2a3d-5ee0-a964-549e7c22ef21",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005042.lean\",\"9890140dfaf9a9383241273310354640582ce26228473b41e017d9700da078a0\",0,\"algebra_13280\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005043.lean\",\"3f69946338f8abfc881eb98986d5041013ab38a77c31bde44149b9ef42550e1d\",0,\"number_theory_11014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005044.lean\",\"526d9d8a0a9f28ef157127035b75a37c177e176fb7f975becacd1a6eb6c66857\",0,\"algebra_21965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165573,
+      "path": "data/train/pb4/numina-001008-0000-8a05fc91538b474f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8a05fc91538b474f0ce89f7c4598702a7240b543e2d5dd7ccdb6d80d2f9cce4e"
+    },
+    {
+      "bytes": 36630,
+      "path": "data/dev/pb4/numina-001008-0000-9aeed368f840a35d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9aeed368f840a35deacc99a49daed03543bbfdc8097b5b342ef73fbfc16ab3bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001009.json b/manifests/batches/numina/001009.json
index 07b241cf439fc2e656f39abfd1c86c51a4f3af4b..b6758a1b44692a4fc156fd1c820820d2153da47c 100644
--- a/manifests/batches/numina/001009.json
+++ b/manifests/batches/numina/001009.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001009",
   "batch_fingerprint": "1238f16b74f3cc4773c97cbdb3a07b91a01728bb2200058a18bc1afc3776adee",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001009-0000-e6e9c680562d1113.parquet",
-      "sha256": "e6e9c680562d1113ddab09a5715e81679e0031aad9c0ba2991f3188dc66ee9b1",
-      "bytes": 123678,
-      "rows": 35,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15ff0fd4-c7ad-52fe-8478-dbb45317a161",
     "numina:84c48ae4-3fda-5f98-a1fd-bcdfc42d1eeb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005047.lean\",\"d21f62176bfeb03b69d931459c4bd641b36876a48411835c50677f9f86a190f1\",0,\"algebra_19892\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005048.lean\",\"f965f3330392a3bdbd6fb096a0a5167a985d1beb228db7284aa443027dc03b98\",0,\"number_theory_136092\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005049.lean\",\"73112edfb6fc42f40e5232bf2276b1b31d17fc6ea578e9efcd3257a59c6cbb3d\",0,\"algebra_9155\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123678,
+      "path": "data/train/p68/numina-001009-0000-e6e9c680562d1113.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "e6e9c680562d1113ddab09a5715e81679e0031aad9c0ba2991f3188dc66ee9b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001010.json b/manifests/batches/numina/001010.json
index c78c252e37f8334e5a7ddeb9571581709d6a3d69..a98ebd10dcac837013690f273b22cc9dea52e44b 100644
--- a/manifests/batches/numina/001010.json
+++ b/manifests/batches/numina/001010.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001010",
   "batch_fingerprint": "30ed8da64c7cd31bdc4d58443c70d2b94df0d1daad9104c5989c32409dee19d8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001010-0000-5838476297cc3a16.parquet",
-      "sha256": "5838476297cc3a16a83776d63e0d51da180076fbeec70340306d66c59139e731",
-      "bytes": 266478,
-      "rows": 48,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/internal_test/numina-001010-0000-861ad97a2b27c766.parquet",
-      "sha256": "861ad97a2b27c76684aa765fb93b3785e9b3e3243a0327aee1daa0bcc4916e2c",
-      "bytes": 22639,
-      "rows": 1,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:72a4977b-409a-5184-8498-851bbe7836db",
     "numina:9c992521-f1e9-58aa-bebd-a3dfc24ea777",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005052.lean\",\"50e6acdf980211d154effe27d825f7f04294be502048c9ad10639d32ae8bd9ca\",0,\"algebra_9156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005053.lean\",\"ec67dba7ebe5f16e072105899fd05fb85bc2280cccc56e0bcf909688033ddccd\",0,\"algebra_13293\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005054.lean\",\"59175fe75adde7fed1896ca39893ca112fdd212d2e4bd86a0ab3f324c178b85a\",0,\"number_theory_610644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266478,
+      "path": "data/train/p13/numina-001010-0000-5838476297cc3a16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "5838476297cc3a16a83776d63e0d51da180076fbeec70340306d66c59139e731"
+    },
+    {
+      "bytes": 22639,
+      "path": "data/internal_test/p13/numina-001010-0000-861ad97a2b27c766.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "861ad97a2b27c76684aa765fb93b3785e9b3e3243a0327aee1daa0bcc4916e2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001011.json b/manifests/batches/numina/001011.json
index 0107d5535580146b236c222a46f4127317ec7e20..95e3e4e65ee0be8b1026d22d4a80dac32671fb73 100644
--- a/manifests/batches/numina/001011.json
+++ b/manifests/batches/numina/001011.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001011",
   "batch_fingerprint": "d03d1361b59b5a1d6e799c53681e38004a843bb177b49a9731592b1f0c7ac542",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001011-0000-2ca134517881033f.parquet",
-      "sha256": "2ca134517881033fc60d985a54ad5be53df4a3c25dacac8a564b4498b9c03faf",
-      "bytes": 207974,
-      "rows": 41,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    },
-    {
-      "path": "data/dev/numina-001011-0000-7632b0a1ee2b90c6.parquet",
-      "sha256": "7632b0a1ee2b90c600ab2080a5a9d8971ff27a920ac652d7b2fb702793825c57",
-      "bytes": 203675,
-      "rows": 13,
-      "revision": "0d5e847746f15a0a43dd1f8c9f9204299b7e1f57"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:566ce029-9011-5e97-9398-03c301192020",
     "numina:5daf2594-3b13-5895-86cb-48f506434f25",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005057.lean\",\"d277f22eeab6bd94bb8564c42bbe76c354070f3a17044f613a836e15e56e6f10\",0,\"number_theory_15166\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005058.lean\",\"c6b527d7ad7cefe149e598e476669f2eb2cbaf5e96654a973d942988dee0e454\",0,\"algebra_97559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005059.lean\",\"a7302b978e923c91931f9a8e6e03395b18b043b26a482d1cbda06240c83f8f79\",0,\"Algebra_610951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207974,
+      "path": "data/train/p1e/numina-001011-0000-2ca134517881033f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "2ca134517881033fc60d985a54ad5be53df4a3c25dacac8a564b4498b9c03faf"
+    },
+    {
+      "bytes": 203675,
+      "path": "data/dev/p1e/numina-001011-0000-7632b0a1ee2b90c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7632b0a1ee2b90c600ab2080a5a9d8971ff27a920ac652d7b2fb702793825c57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001012.json b/manifests/batches/numina/001012.json
index d873b25f8775eaee724802c0593c2892d01c36fd..2e982ea17a7d74faae02e2d6a074b5718806fcdd 100644
--- a/manifests/batches/numina/001012.json
+++ b/manifests/batches/numina/001012.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001012",
   "batch_fingerprint": "c1c0205c5a5d29468af1edeb2173742f7c505e4b2e60b58055e4f84a6d712525",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001012-0000-6391a56a86d1e2ce.parquet",
-      "sha256": "6391a56a86d1e2ce62313a651a1835536dbc80465e940e06daab30b477383098",
-      "bytes": 185149,
-      "rows": 12,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0104d9f5-62e1-5021-b259-53959e6351ad",
     "numina:2459e99b-ffc8-5e0e-9643-56d5420c64ec",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005062.lean\",\"005fd95f5ea92b1ec7a397b3951910295debfa4f60bdc965774aa0a674d07966\",0,\"number_theory_16177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005063.lean\",\"47252de41a9a33c722f3fa3a81f735e44ce71c9bb29beeab338d32235e23a204\",0,\"algebra_15690\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005064.lean\",\"856128ebc6535dbf430ac6419c5044ce7582eb941a32723840b054b3656bbaab\",0,\"algebra_11048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185149,
+      "path": "data/train/pe8/numina-001012-0000-6391a56a86d1e2ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6391a56a86d1e2ce62313a651a1835536dbc80465e940e06daab30b477383098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001013.json b/manifests/batches/numina/001013.json
index 704d88e83a049df4309a02583bb7f27f14367f1c..66d99464f7f6b573cd508bde1f449b909b648f67 100644
--- a/manifests/batches/numina/001013.json
+++ b/manifests/batches/numina/001013.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001013",
   "batch_fingerprint": "ae8a6b64afb97fbb3eb7140784dff4ac723c6a6d019ea0068fef4a4535ec25b0",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1b8ebcde-f72f-5db6-803a-cd270bdeda37",
+    "numina:2eaa131f-9eb1-5517-a27a-af370567bc11",
+    "numina:32fa2106-3aee-5296-aa6a-713ab2565e46",
+    "numina:bcc3e673-6991-5939-9f26-4ce3338189ff",
+    "numina:dbc0412d-e272-58fd-90bf-3c5176722e8f"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005065.lean\",\"28070b728f9405da8d9ba559548321334e48a89a047279bf892e811672473d37\",0,\"number_theory_716\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005066.lean\",\"436301518075554afada506116020bc15754e5ff28ea3ecc9d9367ec2f7dd0f3\",0,\"algebra_15182\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005067.lean\",\"1ac43d1426b277ebfe3c82e19060cc40633b95588360144694dd859605ab1b26\",0,\"number_theory_15697\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005068.lean\",\"197056e98046ac18df123b737b7979b8768b008565fbfecc6d685729550ead32\",0,\"algebra_9164\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005069.lean\",\"1d2f49c4b7de8d751d95bbdbd0e3181e60575411f820fe6bfcf96339772f37ee\",0,\"algebra_21194\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001013-0000-f0b02ae5b825913f.parquet",
-      "sha256": "f0b02ae5b825913f3ec6ab98a5fefcbf55f844a8c6de21c2635148f30520cc88",
       "bytes": 587338,
+      "path": "data/train/p54/numina-001013-0000-f0b02ae5b825913f.parquet",
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-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
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       "bytes": 1515607,
+      "path": "data/train/p54/numina-001013-0001-4f8e0ddf3763d79e.parquet",
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       "rows": 28,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
+      "sha256": "4f8e0ddf3763d79e2d635298fb7ba114de452ab9b78bdc6ecb8354f447244e14"
     },
     {
-      "path": "data/train/numina-001013-0002-1365d393b79d41e4.parquet",
-      "sha256": "1365d393b79d41e406e4cf16a7ac1edff9a8027824a07a3864f898412321c71e",
       "bytes": 412098,
+      "path": "data/train/p54/numina-001013-0002-1365d393b79d41e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
+      "sha256": "1365d393b79d41e406e4cf16a7ac1edff9a8027824a07a3864f898412321c71e"
     },
     {
-      "path": "data/dev/numina-001013-0000-c1d3a6e43d1f94c0.parquet",
-      "sha256": "c1d3a6e43d1f94c0aa0a9cd5ad9c1dc4ce263385807b33a1e9a42f9365371087",
       "bytes": 44722,
+      "path": "data/dev/p54/numina-001013-0000-c1d3a6e43d1f94c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "78ab258d2950dd00432b73a204423a35b4e4bb75"
+      "sha256": "c1d3a6e43d1f94c0aa0a9cd5ad9c1dc4ce263385807b33a1e9a42f9365371087"
     }
-  ],
-  "proof_ids": [
-    "numina:1b8ebcde-f72f-5db6-803a-cd270bdeda37",
-    "numina:2eaa131f-9eb1-5517-a27a-af370567bc11",
-    "numina:32fa2106-3aee-5296-aa6a-713ab2565e46",
-    "numina:bcc3e673-6991-5939-9f26-4ce3338189ff",
-    "numina:dbc0412d-e272-58fd-90bf-3c5176722e8f"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005065.lean\",\"28070b728f9405da8d9ba559548321334e48a89a047279bf892e811672473d37\",0,\"number_theory_716\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005066.lean\",\"436301518075554afada506116020bc15754e5ff28ea3ecc9d9367ec2f7dd0f3\",0,\"algebra_15182\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005067.lean\",\"1ac43d1426b277ebfe3c82e19060cc40633b95588360144694dd859605ab1b26\",0,\"number_theory_15697\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005068.lean\",\"197056e98046ac18df123b737b7979b8768b008565fbfecc6d685729550ead32\",0,\"algebra_9164\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005069.lean\",\"1d2f49c4b7de8d751d95bbdbd0e3181e60575411f820fe6bfcf96339772f37ee\",0,\"algebra_21194\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001014.json b/manifests/batches/numina/001014.json
index 490916a61050d02ee38710ef7cc5eea1ded2478c..74a52d7dd063a1f4cee145cc0c3c35c9897ff298 100644
--- a/manifests/batches/numina/001014.json
+++ b/manifests/batches/numina/001014.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001014",
   "batch_fingerprint": "3cd8052308ff96dbee104d52f302cda94aaabe1922571793940bbb76c00e6e4e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001014-0000-6bddc65e1e45d006.parquet",
-      "sha256": "6bddc65e1e45d006c8f50995522bf168c2e84f4a6c18f76529ac6f26d25d7ce3",
-      "bytes": 361986,
-      "rows": 40,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06f4633b-fa3f-5939-b9b9-b2bb6c1e42fc",
     "numina:333e9400-4658-5e1c-adcf-59cac5ba1254",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005072.lean\",\"f57478e4d6a8d18578c19046c38a7db1657f176e8c17a92b9c82eff7176f32e9\",0,\"algebra_97404\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005073.lean\",\"54eac057db95efbc97a0282036f9f84603eae0fc77a2772d1bf2518dcdbac86f\",0,\"algebra_21516\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005074.lean\",\"0d035be5e8f76e3ea1cb688f06d526eb2c21f22b62dbd884380c9f2cd11bb1ff\",0,\"number_theory_607565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361986,
+      "path": "data/train/p13/numina-001014-0000-6bddc65e1e45d006.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "6bddc65e1e45d006c8f50995522bf168c2e84f4a6c18f76529ac6f26d25d7ce3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001015.json b/manifests/batches/numina/001015.json
index b57f66c3ac05d455f21275811000abc6735193ab..1f65d0e1d32a9d1ff584c93a17319576a11cf02d 100644
--- a/manifests/batches/numina/001015.json
+++ b/manifests/batches/numina/001015.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001015",
   "batch_fingerprint": "a5012b70319c67a6587210ba6b3f0d148159ba775d95df0b613c7547af3dfbe8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001015-0000-2a3a9494a551a955.parquet",
-      "sha256": "2a3a9494a551a955dfd119d9516527ab61d048f48144bec2b0848e5072db58f5",
-      "bytes": 98272,
-      "rows": 20,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3821ed1b-c97b-502d-81ae-b713a3617f7e",
     "numina:6a622317-a6fa-5d9b-bd94-56ddeda10ae5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005077.lean\",\"da4a5fc052c8612c598ecef01cea0041678f92e39137e6be35f9378685c1f447\",0,\"algebra_1118\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005078.lean\",\"95ec7d1f42404ebfd89add21b3b34f0956eeee8431f6dfca2831ff4f62829454\",0,\"algebra_14177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005079.lean\",\"18188cf9077dcdb9762c0e278021531a1a1982248e1788360e2131395900f1fa\",0,\"algebra_609630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98272,
+      "path": "data/train/pa2/numina-001015-0000-2a3a9494a551a955.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2a3a9494a551a955dfd119d9516527ab61d048f48144bec2b0848e5072db58f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001016.json b/manifests/batches/numina/001016.json
index 990b55e7f4f1ecca4b1b54493e4bbd35d03f8f3a..4ecb1b5659f34b5d33be58c117852e1ae5608c25 100644
--- a/manifests/batches/numina/001016.json
+++ b/manifests/batches/numina/001016.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001016",
   "batch_fingerprint": "174b07da6acbd5d2439e8e3ddb8c060414578805b969f3bd2d9e75ecf1b6da91",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001016-0000-b32fe679a4d1aa97.parquet",
-      "sha256": "b32fe679a4d1aa97e34db22881855b01d766712b66f338c32df588d6e68dbcc9",
-      "bytes": 70554,
-      "rows": 12,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/dev/numina-001016-0000-681c581b0870306f.parquet",
-      "sha256": "681c581b0870306fe32e9bda69b0c026effc3a86fdd486b2ba4774bf9473ed3e",
-      "bytes": 32099,
-      "rows": 3,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16db4a45-a32c-5280-ab92-656c6d483665",
     "numina:3b470502-ad4e-5335-b119-70e5e6d0240d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005082.lean\",\"67298b3f872e75cdb9269e99d848fdd0e52f45cbddfd46539e7c2c299c204e9b\",0,\"algebra_14173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005083.lean\",\"485ea3a6fa636c4a05927cfd44f432962093dad41f88e793a82944be980eea68\",0,\"number_theory_14406\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005084.lean\",\"0f171c12762e9c8ef38c323a5015833242f8d9cc0a119f2666d7c5c9768f0893\",0,\"algebra_3728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70554,
+      "path": "data/train/p8e/numina-001016-0000-b32fe679a4d1aa97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b32fe679a4d1aa97e34db22881855b01d766712b66f338c32df588d6e68dbcc9"
+    },
+    {
+      "bytes": 32099,
+      "path": "data/dev/p8e/numina-001016-0000-681c581b0870306f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "681c581b0870306fe32e9bda69b0c026effc3a86fdd486b2ba4774bf9473ed3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001017.json b/manifests/batches/numina/001017.json
index fa37559fac1e71c60557af09162d8ba4deb48633..22b1a1d7a762471ad06fb66129d9112f407ba50d 100644
--- a/manifests/batches/numina/001017.json
+++ b/manifests/batches/numina/001017.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001017",
   "batch_fingerprint": "e419874584290c438856b8bc9a1b196e1dcf2076ac7f2288f5e41147cdb2ba6d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001017-0000-b219c36f2cdc507e.parquet",
-      "sha256": "b219c36f2cdc507e6100d888844e89488a8cbd98a9e50b4f533715190f021158",
-      "bytes": 342715,
-      "rows": 59,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/numina-001017-0000-31e27ed5961c3152.parquet",
-      "sha256": "31e27ed5961c31528eb5f94414c43b7a08c93e60a6db9ceb388d673643f1ccf5",
-      "bytes": 58124,
-      "rows": 14,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17f713f8-d058-53d6-a940-2cb1f232b9b6",
     "numina:603774fd-1648-5781-b0b6-b2f5a4b1872a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005087.lean\",\"00a6fede3a518995cbaf7308d366ed9b31532dcea2f0576cc4f799e0bfffec96\",0,\"algebra_20048\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005088.lean\",\"9bcb34f805cd6e3065d5cf95bdbb7962f36456d85735985fd9f3f5c09229fba3\",0,\"algebra_18843\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005089.lean\",\"9fe0e28c3de6a521bba26c6b5bee8d94e68bf1c1e4c80461d0e512564b7f4460\",0,\"inequalities_604545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342715,
+      "path": "data/train/p70/numina-001017-0000-b219c36f2cdc507e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "b219c36f2cdc507e6100d888844e89488a8cbd98a9e50b4f533715190f021158"
+    },
+    {
+      "bytes": 58124,
+      "path": "data/internal_test/p70/numina-001017-0000-31e27ed5961c3152.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "31e27ed5961c31528eb5f94414c43b7a08c93e60a6db9ceb388d673643f1ccf5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001018.json b/manifests/batches/numina/001018.json
index 93309d12d4425033e23b735eaa3dac753194719b..cf827f9018a589494a452d21701700b8244d5ebf 100644
--- a/manifests/batches/numina/001018.json
+++ b/manifests/batches/numina/001018.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001018",
   "batch_fingerprint": "178fef56efde813e506b831313d0fe7e83a9b5f959643f1ab745dda21a973877",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001018-0000-527a37934e314120.parquet",
-      "sha256": "527a37934e314120770f086f055cfd282cca8c30db52f65e6bd5ef9a67653e36",
-      "bytes": 109004,
-      "rows": 21,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/numina-001018-0000-0d6e3d305fdb6732.parquet",
-      "sha256": "0d6e3d305fdb6732a038329432e572758558b44a8d8b53cbb1c5be57e2bd32d0",
-      "bytes": 57697,
-      "rows": 10,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17b9aa80-6839-5125-9ae4-fb48619b857b",
     "numina:d2c009c2-4d70-54df-9e36-55c8ec1a574b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005092.lean\",\"4664364129a1a417833c75b1955ca4c5ae346780649f7e8a91e6d47c10a1c4e8\",0,\"algebra_93930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005093.lean\",\"16238f1a8ba52c094ea861b046dbca8caa447a7864facf69d7b5dc03dcad1099\",0,\"number_theory_275817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005094.lean\",\"50faed388f4a4893c62a8257114e875f993d84a9ac11df9266ef74c0a886c9be\",0,\"algebra_20266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109004,
+      "path": "data/train/pb6/numina-001018-0000-527a37934e314120.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "527a37934e314120770f086f055cfd282cca8c30db52f65e6bd5ef9a67653e36"
+    },
+    {
+      "bytes": 57697,
+      "path": "data/internal_test/pb6/numina-001018-0000-0d6e3d305fdb6732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0d6e3d305fdb6732a038329432e572758558b44a8d8b53cbb1c5be57e2bd32d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001019.json b/manifests/batches/numina/001019.json
index 8e1de09da2c0c489ddd9f2327cb1b848e09a2c01..1bdd779cf37e79d5219236840d17d2278bbda76f 100644
--- a/manifests/batches/numina/001019.json
+++ b/manifests/batches/numina/001019.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001019",
   "batch_fingerprint": "d695bff3ae7893b6589b91087acfc6f39774dd275e3ce4fe83ba562e2d552e8d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001019-0000-b99665ba1665d7db.parquet",
-      "sha256": "b99665ba1665d7dbefb146d8edd092c5cc816be5bc3168566de8c918b69b85da",
-      "bytes": 184718,
-      "rows": 22,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    },
-    {
-      "path": "data/internal_test/numina-001019-0000-d2f669e6badf817a.parquet",
-      "sha256": "d2f669e6badf817a4b51baa712e72962e63d1c7566ff5d4df3d79f04cc40cdef",
-      "bytes": 41301,
-      "rows": 6,
-      "revision": "9aefeacc54d041e099f52cde0715b5bc1f06aed9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06976f82-7a90-55c4-aac2-4dcc41f17244",
     "numina:1a0125f9-a959-5da9-9955-66acab7b590a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005097.lean\",\"4cc1a56563a742bf485a439296597a0d4334b41c396e09b1f5ea6fe587a962cf\",0,\"algebra_13460\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005098.lean\",\"59f9d96667a721a6ed3fe89fa35cd06645b506fdbc774ff4d292be35da42c3b9\",0,\"inequalities_604938\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005099.lean\",\"680d0f4638794b4a8e5306263d2387c7b6f032d477e80070302f8372e1f1fe3b\",0,\"algebra_10732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184718,
+      "path": "data/train/p77/numina-001019-0000-b99665ba1665d7db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b99665ba1665d7dbefb146d8edd092c5cc816be5bc3168566de8c918b69b85da"
+    },
+    {
+      "bytes": 41301,
+      "path": "data/internal_test/p77/numina-001019-0000-d2f669e6badf817a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d2f669e6badf817a4b51baa712e72962e63d1c7566ff5d4df3d79f04cc40cdef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001020.json b/manifests/batches/numina/001020.json
index f60502f689992681b75991986f8790022f54c6d0..c2d824e2415e25102e053e146dc8f9f2076347c8 100644
--- a/manifests/batches/numina/001020.json
+++ b/manifests/batches/numina/001020.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001020",
   "batch_fingerprint": "7ebf3598327b81fe77cb3cf49e051d007258bbec4dd5b0214b5cf725650dfafe",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001020-0000-18b5b48fb3778a70.parquet",
-      "sha256": "18b5b48fb3778a7079be57830086e04f49ab8a0401dbf2172dfe1591b6ec1e41",
-      "bytes": 586514,
-      "rows": 48,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d83934f-6403-55de-a5e4-3bffb4c90e0f",
     "numina:2405a030-3810-5957-868d-5af5c30527a0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005102.lean\",\"b6a6f137674a4d887bef67a1e5b7e92e5df7af6d85631fda3f94e6fe211bdc3b\",0,\"algebra_98335\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005103.lean\",\"137db16d80d940520b7324b968a566a5e8b45ecff8f99331f187479bf57d9221\",0,\"algebra_605102\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005104.lean\",\"54c1ddce2b0b829417b4d1dd4f70ffebf38e898b1a9ab9b61bb0cedf4cf7fcfb\",0,\"algebra_10747\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586514,
+      "path": "data/train/p64/numina-001020-0000-18b5b48fb3778a70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "18b5b48fb3778a7079be57830086e04f49ab8a0401dbf2172dfe1591b6ec1e41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001021.json b/manifests/batches/numina/001021.json
index ec510e18a742c2d9a323c93789bc5f84d0f1819e..792572e8662af66363c89b3c25894f069b50145b 100644
--- a/manifests/batches/numina/001021.json
+++ b/manifests/batches/numina/001021.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001021",
   "batch_fingerprint": "0e47278be0423a60295e75db8a07608d749082abfd9a0b5fa38385ad2949faa2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001021-0000-0f19079b67601a55.parquet",
-      "sha256": "0f19079b67601a554dcad84bdc2ac99918c3d085de22e7267be63bcec455a069",
-      "bytes": 206117,
-      "rows": 19,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/numina-001021-0000-f4d42d14a1663859.parquet",
-      "sha256": "f4d42d14a166385934246aad185a342d4bd5c1e2bbee3aabecc592a4844a11e8",
-      "bytes": 28276,
-      "rows": 1,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c884a55-1919-57ab-aad6-eacc09ab2820",
     "numina:59e6f943-6ba2-534e-a79a-310cae8a348a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005107.lean\",\"fe59b99467fa8bd9ebbb612d07b5ba1e6dce4ae5290c62f6a05d9849ea9fc6a3\",0,\"number_theory_94117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005108.lean\",\"40167e768759dcd741cfaca41d4be5151ae29fdec66675f2b8bce0c2db3a8efc\",0,\"algebra_21681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005109.lean\",\"33a488c32dd61da7ac021d02ec984c7e803896b5b7543236301700416e838be4\",0,\"number_theory_3063\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206117,
+      "path": "data/train/p03/numina-001021-0000-0f19079b67601a55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0f19079b67601a554dcad84bdc2ac99918c3d085de22e7267be63bcec455a069"
+    },
+    {
+      "bytes": 28276,
+      "path": "data/internal_test/p03/numina-001021-0000-f4d42d14a1663859.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f4d42d14a166385934246aad185a342d4bd5c1e2bbee3aabecc592a4844a11e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001022.json b/manifests/batches/numina/001022.json
index c45a98f8661f908bf25a7be543e68f236b06ef98..d6499d843fa8b98f33888c79606cd17d7624ac52 100644
--- a/manifests/batches/numina/001022.json
+++ b/manifests/batches/numina/001022.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001022",
   "batch_fingerprint": "12406b412047f7dddffbf21fd829135683702877dd57e8e9ad77ba25c606d750",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001022-0000-c8cfde69ffc652f1.parquet",
-      "sha256": "c8cfde69ffc652f191b47c0b73a02392c1857a6e9a8f3d9fae541a203470c3d2",
-      "bytes": 544271,
-      "rows": 19,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/dev/numina-001022-0000-511301d4df98713c.parquet",
-      "sha256": "511301d4df98713c0ee99eaefb2ae89881b3dc77922a8f4ab8eef0b65bd5bca8",
-      "bytes": 37020,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/numina-001022-0000-e5cefb68e07eee89.parquet",
-      "sha256": "e5cefb68e07eee8969fe04982d5f2f9f0cd533ea3566a86b540a6f098d897522",
-      "bytes": 32550,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b607551-4acc-59c5-8467-52b5ae7c4804",
     "numina:61e3a58c-bc7d-5da0-a1ba-195b15916dcb",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005112.lean\",\"c2dd1fff477eb9cfbd3250eee308819175c1d677dbb3482a78bcd993329518b1\",0,\"algebra_10920\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005113.lean\",\"044a29c3eef640ed67ee86e9d98f26e37c5a2ef84888e9f500f13f5c21eec0d8\",0,\"algebra_14948\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005114.lean\",\"e9f012c7e4aa009bcb4daf9af35cef8238149d82c3ffb07e32aa4677baab0f40\",0,\"inequalities_604580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544271,
+      "path": "data/train/p6f/numina-001022-0000-c8cfde69ffc652f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c8cfde69ffc652f191b47c0b73a02392c1857a6e9a8f3d9fae541a203470c3d2"
+    },
+    {
+      "bytes": 37020,
+      "path": "data/dev/p6f/numina-001022-0000-511301d4df98713c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "511301d4df98713c0ee99eaefb2ae89881b3dc77922a8f4ab8eef0b65bd5bca8"
+    },
+    {
+      "bytes": 32550,
+      "path": "data/internal_test/p6f/numina-001022-0000-e5cefb68e07eee89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e5cefb68e07eee8969fe04982d5f2f9f0cd533ea3566a86b540a6f098d897522"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001023.json b/manifests/batches/numina/001023.json
index 625a8345ddcad9b2310c02c48cd433ae3c6b09e9..417c99973cf8e5ac7b999d06180f20fbfcbac319 100644
--- a/manifests/batches/numina/001023.json
+++ b/manifests/batches/numina/001023.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001023",
   "batch_fingerprint": "09a29ba5132c3dbfa79662c4d4fb04a8ded2eac35af8029ffdb1b8e3d95d4eb5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001023-0000-adcb516fefb4dd21.parquet",
-      "sha256": "adcb516fefb4dd218a9023f3294e39ef6c9a20a3e07b05f0e2f8f47807fca048",
-      "bytes": 286541,
-      "rows": 26,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/numina-001023-0000-9dd63d7464a8e0f3.parquet",
-      "sha256": "9dd63d7464a8e0f314fb856bf82da67addb72e3304a479de1f2ce4cdbd3dcea9",
-      "bytes": 27690,
-      "rows": 2,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06814684-03c8-5fff-b0bc-c02018d05ade",
     "numina:3a6842df-a900-589e-b3bb-3b9bd8627122",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005117.lean\",\"c52588c5a244b1de4d4e3dd7b77e9eb3fb65c42cfbc3e33778c6741560e62855\",0,\"algebra_20131\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005118.lean\",\"6a740ae65429d61a24c7914c1f6020277b595a64c479cf94a234760011dbfd17\",0,\"Algebra_608964\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005119.lean\",\"6fae8285320302e0185cd40b4475af6e69e0a8597e8332a31361c7b65d729959\",0,\"number_theory_4635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286541,
+      "path": "data/train/pa9/numina-001023-0000-adcb516fefb4dd21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "adcb516fefb4dd218a9023f3294e39ef6c9a20a3e07b05f0e2f8f47807fca048"
+    },
+    {
+      "bytes": 27690,
+      "path": "data/internal_test/pa9/numina-001023-0000-9dd63d7464a8e0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9dd63d7464a8e0f314fb856bf82da67addb72e3304a479de1f2ce4cdbd3dcea9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001024.json b/manifests/batches/numina/001024.json
index 956065f8f85ad6c672a099fc7847aedfb33d4aa2..a344b6b03bce5a8569ac1d62f82cb2a8b8b328c0 100644
--- a/manifests/batches/numina/001024.json
+++ b/manifests/batches/numina/001024.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001024",
   "batch_fingerprint": "33f38247ff1068b04de274a07163bb78d57ad939097f883739d14f2ebe9ff7bc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001024-0000-b3cf8d2f1b85be46.parquet",
-      "sha256": "b3cf8d2f1b85be465244785f1ba3dd35b5a6dba19619e52475eedb388426cc1e",
-      "bytes": 53086,
-      "rows": 17,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/numina-001024-0000-6036efbfe7af250d.parquet",
-      "sha256": "6036efbfe7af250dd0e58b2233efa99832dcdf349cb491e01f8f0e9c4ed6413b",
-      "bytes": 26079,
-      "rows": 1,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06f83365-ada4-5979-9513-f3a48545a9e8",
     "numina:17767a24-8b99-54e1-9af8-421a8d76c4cb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005122.lean\",\"527825fd8c03a28d3c7180d897871ffe1a43af72005729dbdf1e1978e0547f10\",0,\"algebra_17070\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005123.lean\",\"c372dc7d66216012b62431a3333364f85d54f9cda3b9bb25e7dc708d3297b041\",0,\"number_theory_16689\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005124.lean\",\"2d8e067ad1e0d1318a09793cd5575fa68f50b084566bb622fdeb014b01a0d907\",0,\"number_theory_4639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 53086,
+      "path": "data/train/p70/numina-001024-0000-b3cf8d2f1b85be46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b3cf8d2f1b85be465244785f1ba3dd35b5a6dba19619e52475eedb388426cc1e"
+    },
+    {
+      "bytes": 26079,
+      "path": "data/internal_test/p70/numina-001024-0000-6036efbfe7af250d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6036efbfe7af250dd0e58b2233efa99832dcdf349cb491e01f8f0e9c4ed6413b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001025.json b/manifests/batches/numina/001025.json
index 9ada3eee60e5c35185ef748da9e781fb63d109f6..c359aba67c4ddd1c0981b4f14fd699b0a55aa222 100644
--- a/manifests/batches/numina/001025.json
+++ b/manifests/batches/numina/001025.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001025",
   "batch_fingerprint": "c81f9b75b77071d0d089986978f798aa8879a0e14407d8d0aa3cd76f8f052b17",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001025-0000-f0259a1ba12562c5.parquet",
-      "sha256": "f0259a1ba12562c526c4cab8df2a531be762a8a923b0f3751b9f52e68f040d80",
-      "bytes": 336927,
-      "rows": 32,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09995502-0673-545d-8cd7-15e6fb8511d0",
     "numina:35e81dbc-20f4-587c-b84f-d171111ae9d5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005127.lean\",\"643bab4e7b7e17f80ebc9cf7f297d10fff794e577500d48c44426b97e0bc77d2\",0,\"number_theory_13327\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005128.lean\",\"ef35a648c8323251639bea69607a6502bf0b3b87749157c46e865b634fbaf361\",0,\"algebra_67739\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005129.lean\",\"676651252f6da0c2fd62d8ae33134ce3659904f602010bad6394bc20b988ea3d\",0,\"number_theory_99267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336927,
+      "path": "data/train/p2b/numina-001025-0000-f0259a1ba12562c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f0259a1ba12562c526c4cab8df2a531be762a8a923b0f3751b9f52e68f040d80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001026.json b/manifests/batches/numina/001026.json
index 209d80f74ab1f8d093c39f70eb6c257c3ab3d03d..91e77163f69bce1d361b5096f263687f6528f67e 100644
--- a/manifests/batches/numina/001026.json
+++ b/manifests/batches/numina/001026.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001026",
   "batch_fingerprint": "16a56e931e4a1c6d3e1aa09c3e93da031c1e1df1688521a7bf2e1715042267a4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001026-0000-da13607096ea21b5.parquet",
-      "sha256": "da13607096ea21b5816a589c3d213377c33fd7e0ea5c146d6bb64da11813b876",
-      "bytes": 305898,
-      "rows": 41,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    },
-    {
-      "path": "data/internal_test/numina-001026-0000-93e753d389fbf124.parquet",
-      "sha256": "93e753d389fbf1249be636d611ae01f0154e71826c0d97e0af0e727df01afc51",
-      "bytes": 68943,
-      "rows": 4,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2403c395-d291-50f5-bc84-5a5b9dbc09e2",
     "numina:2c43d815-d1c3-5861-9edf-72d3663c766c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005132.lean\",\"76f132c29e3b1d70e8986160694215fda636b2e8be91ccbf2239568561848097\",0,\"number_theory_611041\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005133.lean\",\"de4cbba04feae0f15ffb9ec8e6fdcb40ef86311a2dc9207ab94edd117f32142b\",0,\"algebra_110132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005134.lean\",\"eef12d9af5d7179888446c8fe8316367e983e8c0fb2e959025770965d4a5247f\",0,\"algebra_9411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305898,
+      "path": "data/train/p7a/numina-001026-0000-da13607096ea21b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "da13607096ea21b5816a589c3d213377c33fd7e0ea5c146d6bb64da11813b876"
+    },
+    {
+      "bytes": 68943,
+      "path": "data/internal_test/p7a/numina-001026-0000-93e753d389fbf124.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "93e753d389fbf1249be636d611ae01f0154e71826c0d97e0af0e727df01afc51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001027.json b/manifests/batches/numina/001027.json
index a2dd490432928e3114dc9dd5fa7b379a44ca1327..739ed4243592ad6e4c364d821dfbd331a39104a2 100644
--- a/manifests/batches/numina/001027.json
+++ b/manifests/batches/numina/001027.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001027",
   "batch_fingerprint": "d378069d9f956a53f60ed25611fa59a0363a395ab0ce94d4baccae89c6227e27",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001027-0000-a877c848b357bd90.parquet",
-      "sha256": "a877c848b357bd90d2919e36def21e82f823082927a9bb89bda6ecef52dc1c7a",
-      "bytes": 225475,
-      "rows": 29,
-      "revision": "72494f48a11a15628e2d931fb1d54557e12b8076"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:018386af-a2c6-58cc-91be-b489f0c4c81d",
     "numina:03f27419-4a0a-580a-9148-eaf5c96296ac",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005137.lean\",\"e16db04b86558079bdd2142af1a5dde9da625f2f1169c696407cb0f2be49769d\",0,\"algebra_15113\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005138.lean\",\"cff09589973819fb44c1bcd32d5e200e46f5f12322ccdb19f355e357bf5fc065\",0,\"algebra_9412\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005139.lean\",\"05399ab7f8a9c52753cf230b0f12ee6454dc2c6925654629573bec00c7a018fa\",0,\"number_theory_53545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225475,
+      "path": "data/train/p84/numina-001027-0000-a877c848b357bd90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "a877c848b357bd90d2919e36def21e82f823082927a9bb89bda6ecef52dc1c7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001028.json b/manifests/batches/numina/001028.json
index b8433ccc9cf038acc7c17123f3101fb0ba6b8cf1..728381df47f9a89b2e5aa69e71de952501292cc6 100644
--- a/manifests/batches/numina/001028.json
+++ b/manifests/batches/numina/001028.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001028",
   "batch_fingerprint": "62517cbf4902b2a3b1f4b4cd1da4908492d8ad2d2aff63fd3be294e2838deaaf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001028-0000-4223c33ab8257da6.parquet",
-      "sha256": "4223c33ab8257da6c74abfd383c9126ff478316b90398d0766fe38b8b2da8e5a",
-      "bytes": 185533,
-      "rows": 20,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/numina-001028-0000-5f8f46892c0f3e77.parquet",
-      "sha256": "5f8f46892c0f3e778f9345478a6f9d7a697b8099b8fe5f505ca52526e7f64878",
-      "bytes": 81890,
-      "rows": 8,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14cf3945-0e83-5838-b95b-bf9d07dd9937",
     "numina:17ae3e10-e513-56e5-94f9-98b4e2e7f48b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005142.lean\",\"6e985022d364ab7542748572f627d716e871b36cc701e6945b8e0b266a2775c5\",0,\"algebra_17044\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005143.lean\",\"63ebc8c06ff484977dbfb71d9c88b118162a5d9197bbf2423946960140e2635a\",0,\"algebra_9216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005144.lean\",\"25dca0bb81ead336ec31c0aad4567bfb14a9e3b71a710ef461417a4b86379578\",0,\"algebra_604872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185533,
+      "path": "data/train/p4d/numina-001028-0000-4223c33ab8257da6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4223c33ab8257da6c74abfd383c9126ff478316b90398d0766fe38b8b2da8e5a"
+    },
+    {
+      "bytes": 81890,
+      "path": "data/dev/p4d/numina-001028-0000-5f8f46892c0f3e77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5f8f46892c0f3e778f9345478a6f9d7a697b8099b8fe5f505ca52526e7f64878"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001029.json b/manifests/batches/numina/001029.json
index 6956f663205f414b10f265b4627df668bfd7c924..01bde3f2727a5ba745ed675fbc9a8118a355face 100644
--- a/manifests/batches/numina/001029.json
+++ b/manifests/batches/numina/001029.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001029",
   "batch_fingerprint": "e8fd011c2f42ea04aaec72cf7d7457283dfa3d7975210a5d8edf9e3a63da8ad5",
   "evidence": {
@@ -45,15 +44,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001029-0000-76b18ef433d0c703.parquet",
-      "sha256": "76b18ef433d0c7034b48cbc9a426d270eb9924676b901ff52b49e7bccfd4290e",
-      "bytes": 86365,
-      "rows": 18,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d769a3e-0171-5f07-842d-8f9e728ed803",
     "numina:2b3de622-062a-58a8-9eac-36ab24f9c023",
@@ -65,5 +56,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005147.lean\",\"0a48b80c6fc2012d0fc883bf8ed2e80fcb7eac3f509f89515d579020ff9bea13\",0,\"number_theory_4643\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005148.lean\",\"80488f85408811edd20d9841cf7a25d18d6088e59421848a398f63eb29ef0d3f\",0,\"algebra_9220\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005149.lean\",\"ab4fc2a67e6bdaf1485abc1b29337b445c84c1e6a9f3334f835dd0536744a66b\",0,\"algebra_9221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86365,
+      "path": "data/train/p24/numina-001029-0000-76b18ef433d0c703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "76b18ef433d0c7034b48cbc9a426d270eb9924676b901ff52b49e7bccfd4290e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001030.json b/manifests/batches/numina/001030.json
index 05c55832079d6f838ff0e316a4d9dff7d2cbda3f..8ab4931c8775e4d4ce8d3290c7f0108a1bbab261 100644
--- a/manifests/batches/numina/001030.json
+++ b/manifests/batches/numina/001030.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001030",
   "batch_fingerprint": "26a07a76ecbb7ba35bad52c135774db01e4907e06e8061f620f0c979e9a29145",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001030-0000-1c5272b3acadbafb.parquet",
-      "sha256": "1c5272b3acadbafbabc637d704ceb6c15ac0ccc873e6cfd1a70086b0adbe4582",
-      "bytes": 168849,
-      "rows": 26,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/numina-001030-0000-d16032d19de0afe0.parquet",
-      "sha256": "d16032d19de0afe032f11899d1e957134c810c702f7e4718770392fc3c68a461",
-      "bytes": 53653,
-      "rows": 5,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54aff7bc-fae2-565a-8e22-305b5abc9b8f",
     "numina:7c07d717-a897-56ab-b25d-532cab0bd4ff",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005152.lean\",\"c102847851f4c63cfa712297cb468723f684291b30f250fc78f4974d02616700\",0,\"algebra_9224\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005153.lean\",\"636002dcdebb736b0b8640f3e357c1ca4b0121dd6bd6f7a2a818d55ea10e87b4\",0,\"inequalities_254392\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005154.lean\",\"b084cf27fcc1cafe81c162f1bc4c05dfbd5db6669130f1f291bff37aea08a1a3\",0,\"algebra_13321\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168849,
+      "path": "data/train/p3a/numina-001030-0000-1c5272b3acadbafb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1c5272b3acadbafbabc637d704ceb6c15ac0ccc873e6cfd1a70086b0adbe4582"
+    },
+    {
+      "bytes": 53653,
+      "path": "data/dev/p3a/numina-001030-0000-d16032d19de0afe0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d16032d19de0afe032f11899d1e957134c810c702f7e4718770392fc3c68a461"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001031.json b/manifests/batches/numina/001031.json
index 57da6261e6b241cc498fb54807a715627a53e685..e2f75092ca0664868c70fc3fbcef654caa75220d 100644
--- a/manifests/batches/numina/001031.json
+++ b/manifests/batches/numina/001031.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001031",
   "batch_fingerprint": "65b6ab4c2c6d6954a67222b6a10e323de1a7f7a15ea2cd52f1af82644c7a6217",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001031-0000-5bf9b8096099469c.parquet",
-      "sha256": "5bf9b8096099469c464528b5fd69a0d8d046058e9a506bd05e6ae28845af0722",
-      "bytes": 87974,
-      "rows": 10,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/numina-001031-0000-d036b65db98f1034.parquet",
-      "sha256": "d036b65db98f1034a14b1bf9121cb0bfb34642ea19cc90df7e9acfccb0d68371",
-      "bytes": 53332,
-      "rows": 5,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ff12e5e-1ddf-5461-80c8-83b65aeb822c",
     "numina:1a4ee475-e1dc-5f11-954f-b98fee1485f0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005157.lean\",\"e1a61dd76c4b183606b3f42c840c0358efdc96a9285e5f80a571c94617508d33\",0,\"number_theory_610205\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005158.lean\",\"aea512f6de2b8a7fc63c237a24251557cd91e6dc68b3659f7af46f196076359e\",0,\"algebra_734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005159.lean\",\"c72e22a42549a081d52a120d58e2784a22b432e04ce00f6da60cda3099a19f3e\",0,\"algebra_17179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87974,
+      "path": "data/train/pac/numina-001031-0000-5bf9b8096099469c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5bf9b8096099469c464528b5fd69a0d8d046058e9a506bd05e6ae28845af0722"
+    },
+    {
+      "bytes": 53332,
+      "path": "data/internal_test/pac/numina-001031-0000-d036b65db98f1034.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d036b65db98f1034a14b1bf9121cb0bfb34642ea19cc90df7e9acfccb0d68371"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001032.json b/manifests/batches/numina/001032.json
index 1f4d012d8aaa46a9be41f12eca77165c258bf3b6..c51ca67bf4b73623c2d8bdfccf30ac1d267c5be6 100644
--- a/manifests/batches/numina/001032.json
+++ b/manifests/batches/numina/001032.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001032",
   "batch_fingerprint": "61a35d846d7ad908b1689b38e68ff839df2857732a212bd39cbadec57d5a73da",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001032-0000-f280857a378758e6.parquet",
-      "sha256": "f280857a378758e63b48f497a1036b5150622177d7541ff85dbd5802a446ba13",
-      "bytes": 68074,
-      "rows": 10,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/numina-001032-0000-b01631936c048968.parquet",
-      "sha256": "b01631936c048968f1d936c7bdc87c404fb6769b5d69b2e41a3764cd5ea8431f",
-      "bytes": 44024,
-      "rows": 6,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1545d016-3490-51a6-9b84-61ffc6d5f85d",
     "numina:3b1172ec-7f68-5bbe-8080-fa8f404ffc3e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005162.lean\",\"eabb65dee808ce4e356dbb27ef0923ecfff192cb9d1d4b51799418485e7c8d1b\",0,\"algebra_13307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005163.lean\",\"b9a9d485a1536933a336ecfedc400b476d54044c99593373fee9779692689665\",0,\"algebra_610346\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005164.lean\",\"8bf0087c32e37268096ca9eefe93c11f9215c40308fa00ba8af4239ec91f28e5\",0,\"algebra_9335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68074,
+      "path": "data/train/p07/numina-001032-0000-f280857a378758e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f280857a378758e63b48f497a1036b5150622177d7541ff85dbd5802a446ba13"
+    },
+    {
+      "bytes": 44024,
+      "path": "data/internal_test/p07/numina-001032-0000-b01631936c048968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b01631936c048968f1d936c7bdc87c404fb6769b5d69b2e41a3764cd5ea8431f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001033.json b/manifests/batches/numina/001033.json
index afa6c308595d58e9058791aa8a3fcea68d9e6d3f..e978a1d67b92ca8652e8376543125ac052d7a16d 100644
--- a/manifests/batches/numina/001033.json
+++ b/manifests/batches/numina/001033.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001033",
   "batch_fingerprint": "b42480ba0acaebff2ea9f00f5921f379db71a297b6d3d86e61a93eadca05dfd0",
   "evidence": {
@@ -46,22 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001033-0000-68c4979168fcd5e1.parquet",
-      "sha256": "68c4979168fcd5e1fc24489608a013920346f7b2fbafdfe4f00e86e45ecfdb93",
-      "bytes": 48916,
-      "rows": 12,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/dev/numina-001033-0000-6bae7852ff44f8af.parquet",
-      "sha256": "6bae7852ff44f8af2cb76d45ad604f6f0f742db36c3c07ef5d1d719093e84f76",
-      "bytes": 88894,
-      "rows": 7,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07a0e438-52d0-58ee-9a14-579f19e0a9f9",
     "numina:245c0cd1-b9d5-54f9-83ef-6526c77e062d",
@@ -73,5 +57,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005167.lean\",\"7555ee83f3a4008c4cb6a25685c30c5d7429e623e78dd135d43ae94647fdeeb1\",2,\"number_theory_4607_3\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005168.lean\",\"60120d15401d8818b7608710be7fca9a2315ffb4efa31c3253c60b51270b2d58\",0,\"algebra_9337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005169.lean\",\"21bfcae7bbf0c69c543913a5f2097bd20692f51d465520338497328be535d6dd\",0,\"algebra_11307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48916,
+      "path": "data/train/p48/numina-001033-0000-68c4979168fcd5e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "68c4979168fcd5e1fc24489608a013920346f7b2fbafdfe4f00e86e45ecfdb93"
+    },
+    {
+      "bytes": 88894,
+      "path": "data/dev/p48/numina-001033-0000-6bae7852ff44f8af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6bae7852ff44f8af2cb76d45ad604f6f0f742db36c3c07ef5d1d719093e84f76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001034.json b/manifests/batches/numina/001034.json
index 97bb1b5abf853a27ab7d382f85c433f06e3f2ca0..0c9b77deb7b29afef4c58741b49f93d9a38f1a73 100644
--- a/manifests/batches/numina/001034.json
+++ b/manifests/batches/numina/001034.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001034",
   "batch_fingerprint": "2c1d87ee0d130cef625272fd741c0b6cd6818a44c940968d81f346b0fa218093",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001034-0000-3f5bdf93f1b94d3b.parquet",
-      "sha256": "3f5bdf93f1b94d3b095aa92226cac3fe6b21b18da59356f2f99d35e68a5a2935",
-      "bytes": 506058,
-      "rows": 59,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/train/numina-001034-0001-640be21e17106051.parquet",
-      "sha256": "640be21e171060515093385d159f96f094b41b41634194898466125e57b4ac00",
-      "bytes": 432877,
-      "rows": 4,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    },
-    {
-      "path": "data/internal_test/numina-001034-0000-9ac60af00ef5d52f.parquet",
-      "sha256": "9ac60af00ef5d52ffc00c02bd2f8245f391f6b067db462ef9a078efd6f864e58",
-      "bytes": 26503,
-      "rows": 2,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:64362782-0412-5ed5-8cdd-f2db01708fb2",
     "numina:7ca2c1fb-6467-5235-a2ef-82498456491c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005172.lean\",\"3d1005b4c64084219c94698938dc35bfeabea3d45a447ecdbe24584ed1d450a0\",0,\"geometry_96037\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005173.lean\",\"f6529257bc69f3bd5d77e1e884d4b3ebc0a395eb4c8adc2d5370e803ea7b2ee6\",0,\"algebra_19992\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005174.lean\",\"2020c248c5a322026b6838f7a46183ff5fb8699e86d6556bec068769eed5f94c\",0,\"algebra_9297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506058,
+      "path": "data/train/pb4/numina-001034-0000-3f5bdf93f1b94d3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "3f5bdf93f1b94d3b095aa92226cac3fe6b21b18da59356f2f99d35e68a5a2935"
+    },
+    {
+      "bytes": 432877,
+      "path": "data/train/pb4/numina-001034-0001-640be21e17106051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "640be21e171060515093385d159f96f094b41b41634194898466125e57b4ac00"
+    },
+    {
+      "bytes": 26503,
+      "path": "data/internal_test/pb4/numina-001034-0000-9ac60af00ef5d52f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9ac60af00ef5d52ffc00c02bd2f8245f391f6b067db462ef9a078efd6f864e58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001035.json b/manifests/batches/numina/001035.json
index 5400f812a7a89f0fc99c1315988bc9417fc6fcf2..d71f9f219aadda9d986bb4ee2eeeb7ae6415bd01 100644
--- a/manifests/batches/numina/001035.json
+++ b/manifests/batches/numina/001035.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001035",
   "batch_fingerprint": "123875e33b61274c8783a0b37a7175ce679b7cb66701beae0a04e060e626cd89",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001035-0000-d39727bd6d98e9b9.parquet",
-      "sha256": "d39727bd6d98e9b90d1572b597b0b063c86ad4764425741a69e1d66dce8d5bee",
-      "bytes": 136282,
-      "rows": 12,
-      "revision": "d0afb5d1f0c6accb5ee3b1c2db3fb02fdfc370a4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6fad3607-ce88-5d1d-8bc8-37d70944c191",
     "numina:928303e7-a0ed-5c94-9132-506bdaaa6af1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005177.lean\",\"9df8c3dacc8f4358a2c570807050453cd6c0e2a3454bb7f7b9c0ee84d8605145\",0,\"number_theory_13182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005178.lean\",\"dcfff0015dc6c87e559eb215f2e4b616dd922f5afe6e0e6552cae0c497a028c4\",0,\"algebra_14662\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005179.lean\",\"09195726d789f76963de64209bb54489854b604dbc515cf7af5f82556e297eb4\",0,\"algebra_242086\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136282,
+      "path": "data/train/p69/numina-001035-0000-d39727bd6d98e9b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d39727bd6d98e9b90d1572b597b0b063c86ad4764425741a69e1d66dce8d5bee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001036.json b/manifests/batches/numina/001036.json
index 63d5ba2e13ca1b9c6c37d30fa7124b0025f88d9d..2953b4ba70d4d37b227b01942c230ddf2eeda84e 100644
--- a/manifests/batches/numina/001036.json
+++ b/manifests/batches/numina/001036.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001036",
   "batch_fingerprint": "855e0e3fa56ce95fa668326d7b41e2f744fde0632104191d873bcb4c2714d917",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001036-0000-246f3cfbfd21322e.parquet",
-      "sha256": "246f3cfbfd21322e813c026125f5610d5c726271fd1ac6b6db463ee0e0697ed1",
-      "bytes": 159939,
-      "rows": 35,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d5decbb-6cf3-5960-95e3-03c8dca19e48",
     "numina:7c134902-4199-5b1d-8241-68898e05ed8d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005182.lean\",\"8b19500597680788591e04f89276d72c26862e206dd13faf3eeeafa9251fc6ff\",0,\"algebra_6535\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005183.lean\",\"3201bac12da97551ca9f5b4298c1ebffc3ace00346dc8af03b1f6159729edada\",0,\"algebra_12830\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005184.lean\",\"f8a38954ffcf9f1e53d663ea85195fffc6d06bc30c37d7935088cca484fd49f3\",0,\"algebra_20644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159939,
+      "path": "data/train/p57/numina-001036-0000-246f3cfbfd21322e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "246f3cfbfd21322e813c026125f5610d5c726271fd1ac6b6db463ee0e0697ed1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001037.json b/manifests/batches/numina/001037.json
index c2c4e91bcbe3b9470e2c32894ffff4c0b457523c..bb037a6507bf0d4e5f46245d5bc37d64a63e4b9d 100644
--- a/manifests/batches/numina/001037.json
+++ b/manifests/batches/numina/001037.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001037",
   "batch_fingerprint": "aae2cd84583bc6073d603e9510643dcf229184c56cf5fedc42a91c574b8d45d6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001037-0000-bd82ae6a66a8f936.parquet",
-      "sha256": "bd82ae6a66a8f936580a1feef9e863f876a3119e39c0c9a99bac5d80a0531566",
-      "bytes": 58954,
-      "rows": 9,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/internal_test/numina-001037-0000-f9b8c58cc2f033de.parquet",
-      "sha256": "f9b8c58cc2f033deb202617750a86ee0aaf08f63046630010909edbbc6ce0c02",
-      "bytes": 126322,
-      "rows": 3,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46e4c8c3-207f-5740-89bb-90e34562174b",
     "numina:87004c40-9003-5998-8702-6b97b0601571",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005187.lean\",\"ca57791eb4fa22d3487a030d80dde986ae0b2b2219be730338d3cd912723341c\",0,\"algebra_634142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005188.lean\",\"f9eb2bfb0085155cee1c29c656ec65b5ae8c6d4baed919588c1aab43bb456576\",0,\"algebra_607169\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005189.lean\",\"660e41200b898ea800b0db053f55370a23b4d2a65bf765ca121853449bcb4841\",0,\"number_theory_240527\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58954,
+      "path": "data/train/p3b/numina-001037-0000-bd82ae6a66a8f936.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bd82ae6a66a8f936580a1feef9e863f876a3119e39c0c9a99bac5d80a0531566"
+    },
+    {
+      "bytes": 126322,
+      "path": "data/internal_test/p3b/numina-001037-0000-f9b8c58cc2f033de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f9b8c58cc2f033deb202617750a86ee0aaf08f63046630010909edbbc6ce0c02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001038.json b/manifests/batches/numina/001038.json
index f96367cf65322f8c4bfe0d2eb0474d9a6aef3a9f..9576918a45db8e736bd3b3980dec1eb0bb9b5eff 100644
--- a/manifests/batches/numina/001038.json
+++ b/manifests/batches/numina/001038.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001038",
   "batch_fingerprint": "a454b70f802248ac4647a6b4705dfd3ad3403e113e95b8540681bbe92ab05478",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001038-0000-172d315795c01985.parquet",
-      "sha256": "172d315795c01985fc7874c6b2b3e2c2303d9840e4bfc876710fd75e1e2804ff",
-      "bytes": 256550,
-      "rows": 31,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1eff920f-df57-563a-a26a-ff24ac25001c",
     "numina:55743e0b-cf24-5472-b854-2f1fdfa6692d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005192.lean\",\"8466f7d9c7e424e42acd8cab3c11f9931e19212ca02646e060d7d33274c19c1c\",0,\"algebra_9009\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005193.lean\",\"cd6d42a9f0d441d9234fd8daa0cb0a7ccb7131d2a5a2afd62b68acbd6f3f9b01\",0,\"algebra_9010\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005194.lean\",\"6963f5996a92fb34569f33b010eacc2db20edd6baa68bc51ee7e2c62b504afd9\",0,\"algebra_9011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256550,
+      "path": "data/train/p08/numina-001038-0000-172d315795c01985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "172d315795c01985fc7874c6b2b3e2c2303d9840e4bfc876710fd75e1e2804ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001039.json b/manifests/batches/numina/001039.json
index 42d56b06feb12772fed5c208a4f5f6b55e951821..79740ae150739eaa220640f37771d167c1ceb258 100644
--- a/manifests/batches/numina/001039.json
+++ b/manifests/batches/numina/001039.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001039",
   "batch_fingerprint": "cfb08240b6f1482468f2741fbfd6b7e654d7c293439d3d6e41d4e52a5d19cbeb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001039-0000-c8e98abaa5e68e42.parquet",
-      "sha256": "c8e98abaa5e68e42dc36137afd6925f51605dd7fa54bd26b587caa73569f2c9e",
-      "bytes": 154313,
-      "rows": 27,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d664ac4-9bb7-5715-8a50-f41d43b1335a",
     "numina:556d1522-9bca-533d-9ec3-efa264da495d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005197.lean\",\"114018908f4788d1f7f38670d3e3ca1a217b4a4d47d18821b24f527285f37fcc\",0,\"algebra_9014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005198.lean\",\"6f77bbc815a178adacc53e320733db8db8507c58db5db0edeb081e214c14a4a8\",0,\"algebra_21890\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005199.lean\",\"35519d6b3f9ee12ad5905b77104aa0a46995a378011a69e1225ce72d92e27ecc\",0,\"number_theory_607175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154313,
+      "path": "data/train/pf4/numina-001039-0000-c8e98abaa5e68e42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "c8e98abaa5e68e42dc36137afd6925f51605dd7fa54bd26b587caa73569f2c9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001040.json b/manifests/batches/numina/001040.json
index b557d5cde22472796ba31fa480d89b4b08a1cb9e..f8dfd777243096240722f4bb9d16d4f9414162a5 100644
--- a/manifests/batches/numina/001040.json
+++ b/manifests/batches/numina/001040.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001040",
   "batch_fingerprint": "7f8dcfe2bac419035df591238eaeba6964e32ab6d1e2fdcb4e991485f711eb11",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:07686ebf-77cf-52ab-bc4c-6c3bdcd1e6bb",
+    "numina:29996757-ff9b-58ec-861d-0656fa87ae6b",
+    "numina:2e5a2803-0a51-54d8-be43-28701244d419",
+    "numina:aae0bfde-d907-541c-8cbf-6850e565d1f5",
+    "numina:fab91394-e1ed-532c-b3ac-f5bce96b0407"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005200.lean\",\"8cac54429e83ff1042f6f4f83f4ad0ec3f8b71c27777a9d61c288912a5fe6fb0\",0,\"number_theory_23093\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005201.lean\",\"22eef0c3c1fb31b068486367c601f807534c0fad61e23dfd69ef032d8510eb83\",0,\"number_theory_611386\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005202.lean\",\"d8ea74e6742940d21c86ab79c7de29244afb931601c2251c35bc6c6db3a16e5d\",0,\"algebra_9445\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005203.lean\",\"21c67e50d70368c2e7f733c0a204807c3e9c50e84dcf7d2c457f2c7232cc2744\",0,\"algebra_607855\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005204.lean\",\"9f2c57d06872fa300e37c8f06b524687db0a31d864d5044ac7353ab46af42a98\",0,\"calculus_18551\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001040-0000-2b1849fc7c9ab232.parquet",
-      "sha256": "2b1849fc7c9ab232e3225728415af960e8a3379d6ef4f47e527fc252feecbd48",
       "bytes": 646060,
+      "path": "data/train/p17/numina-001040-0000-2b1849fc7c9ab232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
+      "sha256": "2b1849fc7c9ab232e3225728415af960e8a3379d6ef4f47e527fc252feecbd48"
     },
     {
-      "path": "data/train/numina-001040-0001-520c96723d2adaf9.parquet",
-      "sha256": "520c96723d2adaf98b598412f0b5c0eb4548eaf2ea18fa47bc1d0979849cad06",
       "bytes": 1301253,
+      "path": "data/train/p17/numina-001040-0001-520c96723d2adaf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
+      "sha256": "520c96723d2adaf98b598412f0b5c0eb4548eaf2ea18fa47bc1d0979849cad06"
     },
     {
-      "path": "data/train/numina-001040-0002-7f0ad9dbe24c8dc7.parquet",
-      "sha256": "7f0ad9dbe24c8dc7406335282b19d4f49901da21f548208db677bfbc3a2098b0",
       "bytes": 122654,
+      "path": "data/train/p17/numina-001040-0002-7f0ad9dbe24c8dc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
+      "sha256": "7f0ad9dbe24c8dc7406335282b19d4f49901da21f548208db677bfbc3a2098b0"
     },
     {
-      "path": "data/dev/numina-001040-0000-8fa5f510fa7d6f4a.parquet",
-      "sha256": "8fa5f510fa7d6f4a4fdd39a91eed156684866f9b1e63f2a06c72956c98787699",
       "bytes": 112036,
+      "path": "data/dev/p17/numina-001040-0000-8fa5f510fa7d6f4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "8d0f779e3f20b1c6c8e0eae31602aff510a114e6"
+      "sha256": "8fa5f510fa7d6f4a4fdd39a91eed156684866f9b1e63f2a06c72956c98787699"
     }
-  ],
-  "proof_ids": [
-    "numina:07686ebf-77cf-52ab-bc4c-6c3bdcd1e6bb",
-    "numina:29996757-ff9b-58ec-861d-0656fa87ae6b",
-    "numina:2e5a2803-0a51-54d8-be43-28701244d419",
-    "numina:aae0bfde-d907-541c-8cbf-6850e565d1f5",
-    "numina:fab91394-e1ed-532c-b3ac-f5bce96b0407"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005200.lean\",\"8cac54429e83ff1042f6f4f83f4ad0ec3f8b71c27777a9d61c288912a5fe6fb0\",0,\"number_theory_23093\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005201.lean\",\"22eef0c3c1fb31b068486367c601f807534c0fad61e23dfd69ef032d8510eb83\",0,\"number_theory_611386\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005202.lean\",\"d8ea74e6742940d21c86ab79c7de29244afb931601c2251c35bc6c6db3a16e5d\",0,\"algebra_9445\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005203.lean\",\"21c67e50d70368c2e7f733c0a204807c3e9c50e84dcf7d2c457f2c7232cc2744\",0,\"algebra_607855\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005204.lean\",\"9f2c57d06872fa300e37c8f06b524687db0a31d864d5044ac7353ab46af42a98\",0,\"calculus_18551\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001041.json b/manifests/batches/numina/001041.json
index dd28f240d36a3283233a3fa594609e29abad1732..0690c8ac72eca36956b977e2f7d97986c7b59471 100644
--- a/manifests/batches/numina/001041.json
+++ b/manifests/batches/numina/001041.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001041",
   "batch_fingerprint": "fe83318c8e84d6959bf5bf50b95fca594940fa6c84dd180f07b755b742c93e2d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001041-0000-7f7a1775526a3c49.parquet",
-      "sha256": "7f7a1775526a3c49ae9da901dc2853bb84bad742ed9a865b836b9708a996d8e7",
-      "bytes": 766916,
-      "rows": 25,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b963df0-e584-5f3c-9545-05e41746cf2b",
     "numina:58e22ef3-8e1e-50b7-b736-3835d77261dc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005207.lean\",\"4417eb765f19673a8b048421a9af1485e8adc53645010e25175cff2d63bc3d45\",0,\"algebra_18559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005208.lean\",\"ca1bcf268335a006497bd7a1c64df1a68d9ec79915debc700086baf9a80ac488\",0,\"algebra_93808\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005209.lean\",\"e127fce8d79cfab286e42531dfb82e6630e2507e3f824522d569937457bfbaf2\",0,\"number_theory_14613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 766916,
+      "path": "data/train/p88/numina-001041-0000-7f7a1775526a3c49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7f7a1775526a3c49ae9da901dc2853bb84bad742ed9a865b836b9708a996d8e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001042.json b/manifests/batches/numina/001042.json
index da384cf5b65254838f1ab08b962ad0c50dc1c3cc..b3e327c7f68b7a88551617f353d6a4f89e37ce1f 100644
--- a/manifests/batches/numina/001042.json
+++ b/manifests/batches/numina/001042.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001042",
   "batch_fingerprint": "bba150520e4576ec80cfbbb940931c0f93337279c3886cd2aa0815621aa8d860",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001042-0000-53129cb7c386a7eb.parquet",
-      "sha256": "53129cb7c386a7eb83b48ddf4a92977b4b287603911be985fd6e886644566e0c",
-      "bytes": 164415,
-      "rows": 28,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13a52021-1750-5184-b1d0-3b8294b114d4",
     "numina:631cd3b9-fb06-53ed-baa8-2812e16b8664",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005212.lean\",\"d831cce6990d558f00522917a25b76e8214788b31027971d80b2b3362dc28b9c\",0,\"algebra_113507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005213.lean\",\"15ef098eeedb5dbdb12c04d49e7846ad3bff3d28b8c874476b19773fafbaaace\",0,\"number_theory_276731\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005214.lean\",\"56d2c4566290069d3ac76345cea50c6c5a396cb157b6b794febab47607a9d446\",0,\"algebra_13145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164415,
+      "path": "data/train/p66/numina-001042-0000-53129cb7c386a7eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "53129cb7c386a7eb83b48ddf4a92977b4b287603911be985fd6e886644566e0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001043.json b/manifests/batches/numina/001043.json
index 4c4ea3af06e22d3f7a3fecafcd2f20ff2dfad29b..2dba85512616995cb5eca10f52333a406f336368 100644
--- a/manifests/batches/numina/001043.json
+++ b/manifests/batches/numina/001043.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001043",
   "batch_fingerprint": "107cae1c850a942b151796de0c1a182d2ab9315c06ec4c8c6b570bf06be49bb6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001043-0000-c74755f47a3d48a5.parquet",
-      "sha256": "c74755f47a3d48a5306f744482a0175222b9eb80c3e31fdd2be82023eda4e308",
-      "bytes": 601851,
-      "rows": 53,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    },
-    {
-      "path": "data/train/numina-001043-0001-f81244d674834e95.parquet",
-      "sha256": "f81244d674834e95484f61aa5630b33fc12913e1508b45d6df27e6725967a107",
-      "bytes": 762369,
-      "rows": 11,
-      "revision": "a898894f90362c5139e8137f558cdbbccccc878d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8fa96881-c9d6-5227-b842-acfcc05892d3",
     "numina:a1af48fa-b4f2-5796-a835-382058eb82f8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005217.lean\",\"a43e76cd199f59f543911ee4dcdc23bfd77c4446ea902b7809b5e8afb621cbea\",0,\"number_theory_276758\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005218.lean\",\"9749c338605db98e61df5a6033b230c0c14a86e584690819f3b1b9c0a11c95c0\",0,\"algebra_9059\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005219.lean\",\"1d3a3d25ca4f25087700f3bfb99ad4042c65b0c72f0467296408a4a4246b0231\",0,\"inequalities_24662\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601851,
+      "path": "data/train/pd7/numina-001043-0000-c74755f47a3d48a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "c74755f47a3d48a5306f744482a0175222b9eb80c3e31fdd2be82023eda4e308"
+    },
+    {
+      "bytes": 762369,
+      "path": "data/train/pd7/numina-001043-0001-f81244d674834e95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f81244d674834e95484f61aa5630b33fc12913e1508b45d6df27e6725967a107"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001044.json b/manifests/batches/numina/001044.json
index d89491a781024872d4df592c596914acfffb80b6..13e836ca231c90d4a6ec0956c63f1544a2aea37f 100644
--- a/manifests/batches/numina/001044.json
+++ b/manifests/batches/numina/001044.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001044",
   "batch_fingerprint": "2f51f2c65e33fb639e1d4965ffae0e8e4e3ad57b69f78daecfa07cba239b3b3d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001044-0000-ff5f2b0cda5b61e5.parquet",
-      "sha256": "ff5f2b0cda5b61e55d744f5d66b208e70db3df61022c9d34d219bbea830ce9ea",
-      "bytes": 471923,
-      "rows": 22,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/dev/numina-001044-0000-55a744c2f37deb53.parquet",
-      "sha256": "55a744c2f37deb531ea9de7f3e5a1cf52d295b35708e42eacac799eede9b636d",
-      "bytes": 23842,
-      "rows": 1,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5e2c58b0-5b68-5cd5-aae1-318bad493d50",
     "numina:802b0c9a-a1c9-5335-8227-6d055170f24c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005222.lean\",\"552860b5031e62ed7493385e009334ad1801ed957eb3557b38eac8dc51b1911e\",0,\"algebra_234539\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005223.lean\",\"6cab1a109a89eff63478108dc1fc8f51a58cdd5e322c8db184d305ed6e7b5efd\",0,\"algebra_12126\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005224.lean\",\"0168151681b0899a0fdc8a9e8efbc733bb6a6d20aaac2a3b635449442b18bc61\",0,\"algebra_13154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471923,
+      "path": "data/train/p9e/numina-001044-0000-ff5f2b0cda5b61e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ff5f2b0cda5b61e55d744f5d66b208e70db3df61022c9d34d219bbea830ce9ea"
+    },
+    {
+      "bytes": 23842,
+      "path": "data/dev/p9e/numina-001044-0000-55a744c2f37deb53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "55a744c2f37deb531ea9de7f3e5a1cf52d295b35708e42eacac799eede9b636d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001045.json b/manifests/batches/numina/001045.json
index 72da59ce86d254213d3db2015795c26100fb75e5..935d0194e802ce8ed940a4cd0faf19e1c9f033b9 100644
--- a/manifests/batches/numina/001045.json
+++ b/manifests/batches/numina/001045.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001045",
   "batch_fingerprint": "c5ef7aad0703f06a1191bc8025367da7acfc4a6fdfbef8556d7f417ace2e3b19",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001045-0000-b1bcce988612cca1.parquet",
-      "sha256": "b1bcce988612cca11e51e13613aabe5c55bf451074da963cc721d9a8f1ce2ee4",
-      "bytes": 394014,
-      "rows": 36,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/numina-001045-0000-8dc95de72b910b3d.parquet",
-      "sha256": "8dc95de72b910b3d0aba699596d4bded44ec8de7d4cda17bdcb5b08fba5e8391",
-      "bytes": 73473,
-      "rows": 14,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:72a043a3-5f0e-5dc8-9a80-40bb5d686c27",
     "numina:9015aa50-bb08-5ab6-93e2-55404282bcac",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005227.lean\",\"5f423eb782e880c9868b2073dd6c483683c7835c5c5924d47aa6b3a5399e8733\",0,\"number_theory_605025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005228.lean\",\"2ccf3bac9d3c4cb3affcb5e72ab14ec00b3d4f72035ac71bb2bf89dfd683f04e\",0,\"algebra_1123\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005229.lean\",\"9b0ea9b7c19029bfbc669bc3181f00f8e2cc2614b6c0b67b6e22d37029dfe22f\",0,\"inequalities_200603\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394014,
+      "path": "data/train/p4f/numina-001045-0000-b1bcce988612cca1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "b1bcce988612cca11e51e13613aabe5c55bf451074da963cc721d9a8f1ce2ee4"
+    },
+    {
+      "bytes": 73473,
+      "path": "data/internal_test/p4f/numina-001045-0000-8dc95de72b910b3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8dc95de72b910b3d0aba699596d4bded44ec8de7d4cda17bdcb5b08fba5e8391"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001046.json b/manifests/batches/numina/001046.json
index dcddf992fdbc5923282691761f79e82d5308e9a4..7caea642fb9855221140b5b7d32bae0686915e94 100644
--- a/manifests/batches/numina/001046.json
+++ b/manifests/batches/numina/001046.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001046",
   "batch_fingerprint": "0b2f8623763e21bcb9c71cd430142838f2e14ca106ac137722a725cb5cee8a98",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001046-0000-fe7cff5f8183733c.parquet",
-      "sha256": "fe7cff5f8183733ca4eb90d63c0f0e1b19c4c214e783a2f10b45d86c354a2e5b",
-      "bytes": 107780,
-      "rows": 18,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c90f4a4-29c5-576a-a8e3-98b927f83fb1",
     "numina:30571040-f6da-5f92-ad4e-0bff9a60906e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005232.lean\",\"ed88434b69d786620656266a435eb35dcfdadf223785551a481f91d36080aaa8\",0,\"number_theory_4671\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005233.lean\",\"5219c1d96f078807162819b037dbca5417ff0153bd456dd3237ada63f7d4c5de\",0,\"algebra_169042\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005234.lean\",\"a13b39614b20c8d5beb4aae1222c90dc011d28d977ce1694a9e172b4ad15292f\",0,\"algebra_13370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107780,
+      "path": "data/train/pc8/numina-001046-0000-fe7cff5f8183733c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fe7cff5f8183733ca4eb90d63c0f0e1b19c4c214e783a2f10b45d86c354a2e5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001047.json b/manifests/batches/numina/001047.json
index 01e8ff42140dd64800a2f1c5c451f998beebe14d..7bd865b62c36799d0a47ba1ab9bb14097918b4b1 100644
--- a/manifests/batches/numina/001047.json
+++ b/manifests/batches/numina/001047.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001047",
   "batch_fingerprint": "603300dd091d422674e7309e0e0759d40bfbbd77f10af85ab7b89beaa0fbedf3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001047-0000-38a95061e471c96a.parquet",
-      "sha256": "38a95061e471c96a0b3a3b19e155e70bb8cacc3b59d2a8c46558e6d7751d5e83",
-      "bytes": 360705,
-      "rows": 27,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/numina-001047-0000-09d6dce693ce6893.parquet",
-      "sha256": "09d6dce693ce68935b787a6ee498ae24658980bf3f3e0808a0447a0d2aa85511",
-      "bytes": 26811,
-      "rows": 2,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5036f250-e7de-5cd4-a4a7-1fdbaf77442b",
     "numina:61612a61-69ff-5d8a-a51d-4320bea41ba1",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005237.lean\",\"23be594d81c934a248189ea409b561d865726d4afdb8b2bf2cf7b50945589cb2\",0,\"number_theory_607239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005238.lean\",\"e9cf024831d2843d6d0aa4f19dcf2f96ba8bed84e78b6ded4033533ce2653f1f\",0,\"inequalities_605076\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005239.lean\",\"9a6a0809fa04020b7e0bbf4bd9659cd0c791c6cf629916f0052cac534a07e5a5\",3,\"number_theory_4689_4\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360705,
+      "path": "data/train/p4f/numina-001047-0000-38a95061e471c96a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "38a95061e471c96a0b3a3b19e155e70bb8cacc3b59d2a8c46558e6d7751d5e83"
+    },
+    {
+      "bytes": 26811,
+      "path": "data/internal_test/p4f/numina-001047-0000-09d6dce693ce6893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "09d6dce693ce68935b787a6ee498ae24658980bf3f3e0808a0447a0d2aa85511"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001048.json b/manifests/batches/numina/001048.json
index d5fd4ecc1a89e96e74e80da1c66aa6030278ff84..7c288eaff21bb7f7574405daeb55d3134e349c7f 100644
--- a/manifests/batches/numina/001048.json
+++ b/manifests/batches/numina/001048.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001048",
   "batch_fingerprint": "0533fb5768bb2adc445e66c2fcd41ae3ba54072c72f66199b604bb4f55c8fefc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001048-0000-09e8cc8745e6cdea.parquet",
-      "sha256": "09e8cc8745e6cdeab416b94b4798e3337d52620b8b5b64a40c2693b38ab7fb64",
-      "bytes": 183336,
-      "rows": 23,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0145f28f-4143-5057-83a9-2e52692225aa",
     "numina:0f5088bf-3bd5-567b-934a-7dbfa6747ebf",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005242.lean\",\"28467fb859b9804363812fd5463d40942de6d5aef76640baa5fd021e4804d7c9\",0,\"algebra_117773\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005243.lean\",\"a514df700138179bfee2242ff533ca3406a30867f91e96a1a0163579cf780048\",0,\"algebra_4111\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005244.lean\",\"671c1d2f0108b067ee8952222da00b09a49c7ecc34e7e0dd63de75c7e6ce9d87\",0,\"number_theory_311434\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183336,
+      "path": "data/train/p8b/numina-001048-0000-09e8cc8745e6cdea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "09e8cc8745e6cdeab416b94b4798e3337d52620b8b5b64a40c2693b38ab7fb64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001049.json b/manifests/batches/numina/001049.json
index 228d8f07e2c19291e74f3f98aa5a8fd1278a02ba..882eb7e1123d04ecd4200bdafeebda285acfc2d9 100644
--- a/manifests/batches/numina/001049.json
+++ b/manifests/batches/numina/001049.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001049",
   "batch_fingerprint": "53086247bd7e29e01ef46a5d81c6c4c42374657e1f7ce3760bd9244dedf72afd",
   "evidence": {
@@ -38,53 +37,54 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0368eb55-af91-576b-a032-4adbf1fa6a9d",
+    "numina:1a3626ad-b0cd-5884-870d-b03802c47335",
+    "numina:7c3bdcd4-14ff-54d1-8604-e9316931791f",
+    "numina:b5dab1a1-a4f6-570c-9821-1acde1f1f3b8"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005245.lean\",\"e2f7dcacc18d2b56718ec97ad1be328f3596dc06168610442500aaa4f219f301\",0,\"number_theory_605030.number_theory_605030\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005247.lean\",\"10da70aef9cf7a45ee4a4662f41d8ab27a548b15168d26034d9b76b1a94b65ed\",0,\"calculus_22492\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005248.lean\",\"3ffa1d43ad1f3e23231dd7e1e52700f2853e6d7505e422d8ac8afde763734562\",0,\"algebra_94533\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005249.lean\",\"14900fd90c3965dcc9d7b45a0a14b3dc102862b7bb8bffe78af85079743f8af7\",0,\"algebra_93574\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001049-0000-93861ea960bc00e2.parquet",
-      "sha256": "93861ea960bc00e260cc342ee5c797bee7b343476e0d341b7c163a32c11c7973",
       "bytes": 280670,
+      "path": "data/train/pcd/numina-001049-0000-93861ea960bc00e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "8a7b7de8b0e66501ceebb0a5e0109eb0ec8647ab"
+      "sha256": "93861ea960bc00e260cc342ee5c797bee7b343476e0d341b7c163a32c11c7973"
     },
     {
-      "path": "data/dev/numina-001049-0000-b1d10ccddb4d53dc.parquet",
-      "sha256": "b1d10ccddb4d53dcd8b89b7fbc1f812017328b0494990daf181a2b522230ed25",
       "bytes": 469484,
+      "path": "data/dev/pcd/numina-001049-0000-b1d10ccddb4d53dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "8a7b7de8b0e66501ceebb0a5e0109eb0ec8647ab"
+      "sha256": "b1d10ccddb4d53dcd8b89b7fbc1f812017328b0494990daf181a2b522230ed25"
     },
     {
-      "path": "data/dev/numina-001049-0001-599dd339ad87c07c.parquet",
-      "sha256": "599dd339ad87c07cee7962c497b265e3fc9bb2cad0e259f4a0eb33977eb231bf",
       "bytes": 631478,
+      "path": "data/dev/pcd/numina-001049-0001-599dd339ad87c07c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "8a7b7de8b0e66501ceebb0a5e0109eb0ec8647ab"
+      "sha256": "599dd339ad87c07cee7962c497b265e3fc9bb2cad0e259f4a0eb33977eb231bf"
     },
     {
-      "path": "data/dev/numina-001049-0002-e0d985019d98a77a.parquet",
-      "sha256": "e0d985019d98a77a2725a9a0ddca9b3e29cc9b5ebc2dbccd272ac74bdc075c53",
       "bytes": 63531,
+      "path": "data/dev/pcd/numina-001049-0002-e0d985019d98a77a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8a7b7de8b0e66501ceebb0a5e0109eb0ec8647ab"
+      "sha256": "e0d985019d98a77a2725a9a0ddca9b3e29cc9b5ebc2dbccd272ac74bdc075c53"
     },
     {
-      "path": "data/internal_test/numina-001049-0000-9c8e16f320bda8a1.parquet",
-      "sha256": "9c8e16f320bda8a1c6326a33787271b0835b17fefed41ee7ac4134f6d4631b2e",
       "bytes": 53677,
+      "path": "data/internal_test/pcd/numina-001049-0000-9c8e16f320bda8a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8a7b7de8b0e66501ceebb0a5e0109eb0ec8647ab"
+      "sha256": "9c8e16f320bda8a1c6326a33787271b0835b17fefed41ee7ac4134f6d4631b2e"
     }
-  ],
-  "proof_ids": [
-    "numina:0368eb55-af91-576b-a032-4adbf1fa6a9d",
-    "numina:1a3626ad-b0cd-5884-870d-b03802c47335",
-    "numina:7c3bdcd4-14ff-54d1-8604-e9316931791f",
-    "numina:b5dab1a1-a4f6-570c-9821-1acde1f1f3b8"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005245.lean\",\"e2f7dcacc18d2b56718ec97ad1be328f3596dc06168610442500aaa4f219f301\",0,\"number_theory_605030.number_theory_605030\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005247.lean\",\"10da70aef9cf7a45ee4a4662f41d8ab27a548b15168d26034d9b76b1a94b65ed\",0,\"calculus_22492\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005248.lean\",\"3ffa1d43ad1f3e23231dd7e1e52700f2853e6d7505e422d8ac8afde763734562\",0,\"algebra_94533\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005249.lean\",\"14900fd90c3965dcc9d7b45a0a14b3dc102862b7bb8bffe78af85079743f8af7\",0,\"algebra_93574\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001050.json b/manifests/batches/numina/001050.json
index de5abe3fd91ad2c98a72ca3b1fe604f77a7e2194..1d0f447f8c6e782c7b3139bd22ec766e31b870ba 100644
--- a/manifests/batches/numina/001050.json
+++ b/manifests/batches/numina/001050.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001050",
   "batch_fingerprint": "2def13c21de690e5cf67f48333b5cc364b87fd36638569d6ddc88298955ee3a2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001050-0000-494b6b0ef35352a6.parquet",
-      "sha256": "494b6b0ef35352a6d0354c77f84a6a7be75c4c47a634182fa68a3f4ead1ff68b",
-      "bytes": 40656,
-      "rows": 6,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    },
-    {
-      "path": "data/internal_test/numina-001050-0000-23fbd4879a48d61d.parquet",
-      "sha256": "23fbd4879a48d61dfd4c3853da2dbd7be78f2af77a99ef5cf5e676828aad0346",
-      "bytes": 33846,
-      "rows": 2,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0531c85a-2cc6-5c35-823c-031fc86bf746",
     "numina:0a0d7ef1-9e0b-5ba7-be60-bcd1ecf81cc2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005252.lean\",\"6db17290f11f485d633fe2dbdafc755a43661fe8392adf2c9f48855a3133138a\",0,\"algebra_13757\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005253.lean\",\"df9096b263e592f0fe35ecf3c0e973b14a1ed30a68cab64a60eca889a42c855b\",0,\"algebra_21197\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005254.lean\",\"7e4900428318ef457a815b81ca88f4d36bb2c3f14d58b5b4dc151a1fe07b2060\",0,\"algebra_11769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 40656,
+      "path": "data/train/pd0/numina-001050-0000-494b6b0ef35352a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "494b6b0ef35352a6d0354c77f84a6a7be75c4c47a634182fa68a3f4ead1ff68b"
+    },
+    {
+      "bytes": 33846,
+      "path": "data/internal_test/pd0/numina-001050-0000-23fbd4879a48d61d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "23fbd4879a48d61dfd4c3853da2dbd7be78f2af77a99ef5cf5e676828aad0346"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001051.json b/manifests/batches/numina/001051.json
index 9b3a421f0968b352e5cf96a14e08badb9cc7e98e..53c0686971228ec4dcb330ea10d241561c3c9f77 100644
--- a/manifests/batches/numina/001051.json
+++ b/manifests/batches/numina/001051.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001051",
   "batch_fingerprint": "490042603f74ccb119f9198bb5058b3ad3977b915190fe87048fdab93f34e78f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001051-0000-c9aacf604cfdb613.parquet",
-      "sha256": "c9aacf604cfdb61348185c791f1a9dcb3fea1b9e22c5c84d6cd37d3f9ca81ea3",
-      "bytes": 1098059,
-      "rows": 37,
-      "revision": "d32b5b30ad71de6be39833acb137065b54ecd24b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:340c146e-8be5-5471-a180-d3610864b772",
     "numina:474f3b09-6b4b-54e4-9d67-b33604cb08be",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005257.lean\",\"f4b84eacfb0aee7f5af620d1d382bcced33b0b3e1b21803cb17d6c06623591e3\",0,\"algebra_9244\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005258.lean\",\"8c718a9dd5ad9966c4f7fdcaf898d09766a2034990d7b680ab1784c3d26970a3\",0,\"number_theory_283374\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005259.lean\",\"9646b0da068b9c2e391eef65c57f681e500fcff3820cb4c7f47552dce3fe19ca\",0,\"algebra_14048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1098059,
+      "path": "data/train/p2f/numina-001051-0000-c9aacf604cfdb613.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c9aacf604cfdb61348185c791f1a9dcb3fea1b9e22c5c84d6cd37d3f9ca81ea3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001052.json b/manifests/batches/numina/001052.json
index 94ba4247050c32cd60cbada6b49bb42f4b98e38e..503623713201ef38c9eb2a5d788ef7e241f8d5de 100644
--- a/manifests/batches/numina/001052.json
+++ b/manifests/batches/numina/001052.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001052",
   "batch_fingerprint": "7a559a17e89dc3c052a1a72354b0ca182d7959eba128d0fe218e635bd9b4143e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001052-0000-6bdc0042e1ddacd1.parquet",
-      "sha256": "6bdc0042e1ddacd1d3cacb403f17c5a159a7eafd13a0dc6a2c25d3c7139f4ebc",
-      "bytes": 379926,
-      "rows": 30,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:009dc872-7d33-53ba-afbb-956161e67fc8",
     "numina:00c532a9-9fbd-577e-9a17-29c6128a4942",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005262.lean\",\"43a4e33ab1cf8831a4d9d76565bddc6bde4df490852b0e4ce973c4df1286f55e\",0,\"inequalities_606356\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005263.lean\",\"6f1b3beec8743a3be04560ac2fee01f435fceb3746cf91944d1c51200d7cad0a\",0,\"number_theory_4634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005264.lean\",\"f976b2419471de62fad65bec73a49710db43d264fede0bbf268263334c87bb3e\",0,\"algebra_9248\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379926,
+      "path": "data/train/p97/numina-001052-0000-6bdc0042e1ddacd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "6bdc0042e1ddacd1d3cacb403f17c5a159a7eafd13a0dc6a2c25d3c7139f4ebc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001053.json b/manifests/batches/numina/001053.json
index fa3b71ba54fb50783fec695adf5eb2ebec618308..1dc6029286708f6d54a525bb3d785daeb71a1db7 100644
--- a/manifests/batches/numina/001053.json
+++ b/manifests/batches/numina/001053.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001053",
   "batch_fingerprint": "bc801cde7bb2de5f568791096a42852e3753bd567bc3cf3c7ae9883bf45eacfc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001053-0000-5e2fc60ec9bf5bd8.parquet",
-      "sha256": "5e2fc60ec9bf5bd8e325dbc38001bf09f158e7f407dd02837e8ee01f7ce6e355",
-      "bytes": 83286,
-      "rows": 14,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/numina-001053-0000-df8ccc6493e33205.parquet",
-      "sha256": "df8ccc6493e33205dbd9a6d44b213c46602c2590ec82a9637bc79b7c699c5c47",
-      "bytes": 26500,
-      "rows": 1,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a4a46b6-cc9f-5532-9293-7d458f8ac03d",
     "numina:3922a27c-14c0-5bc0-92a5-d916e6d5cfcb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005267.lean\",\"d1bf260e8b4de0b152d06ea2244b9f27d558af1f665c81ee38bfa98f1729768d\",0,\"algebra_9365\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005268.lean\",\"e1ce19adf4f334259169e2c837c678f3017b530edf729422432580814041ef20\",0,\"algebra_9366\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005269.lean\",\"538bfe40f5e40c56227499f213989a580ce043ff0026eb49e2150f372a81049f\",0,\"number_theory_80434\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83286,
+      "path": "data/train/p2d/numina-001053-0000-5e2fc60ec9bf5bd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5e2fc60ec9bf5bd8e325dbc38001bf09f158e7f407dd02837e8ee01f7ce6e355"
+    },
+    {
+      "bytes": 26500,
+      "path": "data/internal_test/p2d/numina-001053-0000-df8ccc6493e33205.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "df8ccc6493e33205dbd9a6d44b213c46602c2590ec82a9637bc79b7c699c5c47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001054.json b/manifests/batches/numina/001054.json
index 5e9f6bc99462aabbf6146674a78313dcd45d2aec..9f2d3e122de88e98c28501624407f4d910a44c8b 100644
--- a/manifests/batches/numina/001054.json
+++ b/manifests/batches/numina/001054.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001054",
   "batch_fingerprint": "f2baf34e64172d3672d576db2683168d0ba9cc2517651d880c8a27145478ca80",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001054-0000-52311c75960f5082.parquet",
-      "sha256": "52311c75960f5082705d33836c84d89322a5664aabc95287a51d116804a4bdcb",
-      "bytes": 80186,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/dev/numina-001054-0000-c5e4a824638c1cdc.parquet",
-      "sha256": "c5e4a824638c1cdc2a93bfef8a6af1a0d87f8e7e5fdfd5180237d592b4493b57",
-      "bytes": 24433,
-      "rows": 1,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/numina-001054-0000-341e0c5f962145c2.parquet",
-      "sha256": "341e0c5f962145c262172f0cdb7c49348ff911132d9aae9550c2ce5bcc0b25b4",
-      "bytes": 83565,
-      "rows": 4,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3ea47a65-9a92-5695-aa58-d116c0308bcc",
     "numina:55de4993-c670-5fa7-8087-8f1469709fe3",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005272.lean\",\"be82e4e03bb2e1a894240227dfdf750a11776f4e1fac0fe1950c886143ecec88\",0,\"number_theory_609302\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005273.lean\",\"a51c4738081f3b91efd95656cdd9c6c64b64f345db49094da5b828fbd0366388\",0,\"algebra_16996\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005274.lean\",\"5e1cce58ed321af77a88a2ebfab4f9f2af6cb56aa2ce1c16c097e593b31aa220\",0,\"algebra_9072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80186,
+      "path": "data/train/pc8/numina-001054-0000-52311c75960f5082.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "52311c75960f5082705d33836c84d89322a5664aabc95287a51d116804a4bdcb"
+    },
+    {
+      "bytes": 24433,
+      "path": "data/dev/pc8/numina-001054-0000-c5e4a824638c1cdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c5e4a824638c1cdc2a93bfef8a6af1a0d87f8e7e5fdfd5180237d592b4493b57"
+    },
+    {
+      "bytes": 83565,
+      "path": "data/internal_test/pc8/numina-001054-0000-341e0c5f962145c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "341e0c5f962145c262172f0cdb7c49348ff911132d9aae9550c2ce5bcc0b25b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001055.json b/manifests/batches/numina/001055.json
index 72c550618951be7ab4223df6c92fdef19d9e4306..1bfb6503e60236a407bdee67e1a17ae633345b71 100644
--- a/manifests/batches/numina/001055.json
+++ b/manifests/batches/numina/001055.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001055",
   "batch_fingerprint": "f09d4b89c1eaae0e6d52c927ffa8c65d52d0f6d5cb82ff16a3c0c34b0e3b8846",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001055-0000-dd53022bddd25cc0.parquet",
-      "sha256": "dd53022bddd25cc08e13d787507f567aa17112b843c5e1cf4750fcb76a4fab9a",
-      "bytes": 286915,
-      "rows": 34,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/numina-001055-0000-7b69c8443ed4699e.parquet",
-      "sha256": "7b69c8443ed4699e3b7248b7ef630c39e4f3fcb785f79479013a9551b46824c6",
-      "bytes": 32504,
-      "rows": 2,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:211377eb-7da0-57e7-a09c-ffb8fa2367fa",
     "numina:84f98215-a09a-5800-a3b3-04e30d11c42b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005277.lean\",\"f62c98081fabbbba31ba50a5bad9f8216147bfdb43f86cfe94c3599ac8aaf1fd\",0,\"algebra_9074\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005278.lean\",\"bc6fa5ba0981509a6229e3fdd4ed04a7a838a51145a5a28b602a652eef5ad89e\",0,\"calculus_14120\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005279.lean\",\"c8e4807fca325e1023f1537037de23a8b30e9476a1662c017f37e0968346f643\",0,\"algebra_165122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286915,
+      "path": "data/train/pcb/numina-001055-0000-dd53022bddd25cc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "dd53022bddd25cc08e13d787507f567aa17112b843c5e1cf4750fcb76a4fab9a"
+    },
+    {
+      "bytes": 32504,
+      "path": "data/internal_test/pcb/numina-001055-0000-7b69c8443ed4699e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7b69c8443ed4699e3b7248b7ef630c39e4f3fcb785f79479013a9551b46824c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001056.json b/manifests/batches/numina/001056.json
index 2a0eca3b727ea0e3a048046e5207bf050692bdc8..18868c146b919dfff7a801fa78c073b5cdf3604f 100644
--- a/manifests/batches/numina/001056.json
+++ b/manifests/batches/numina/001056.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001056",
   "batch_fingerprint": "6cfb7b9b34cbae6116f7cb425f3a3401f9cfeaa36fb67b71b2856b01b351138b",
   "evidence": {
@@ -38,53 +37,54 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:26191aed-c3ee-532f-886b-6c5433fa21c2",
+    "numina:2cc63d96-f90f-53f0-a00f-221d37a951f6",
+    "numina:a4ad52ae-27ec-55e9-a981-2c4231a8a387",
+    "numina:d38db9ee-6f2b-5af4-911e-23d64eb4feb9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005281.lean\",\"48b9d9c396c9158069b6a8fa00b4b2ae681c786f42bdb32d7b51ccd56686c345\",0,\"algebra_9185\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005282.lean\",\"1fbdfd56f6a24df768f306cec4886fea6320e34126dff4b11d7149010a98b7de\",0,\"algebra_9187\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005283.lean\",\"f197cebf3c5c968e0a31405ecd39fcf4159df64070da8812ca25e3b2a3947abf\",0,\"algebra_22192\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005284.lean\",\"9f42ffba66712d217ca375c8e0ca0f69346588d00a3e5a9a4399281abecd51c1\",0,\"inequalities_605762\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001056-0000-0e2f136033aa99b4.parquet",
-      "sha256": "0e2f136033aa99b43833e82213deda9edbee5e88b09663fe4c3f8a4cecc791d8",
       "bytes": 636527,
+      "path": "data/train/pe7/numina-001056-0000-0e2f136033aa99b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 41,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "0e2f136033aa99b43833e82213deda9edbee5e88b09663fe4c3f8a4cecc791d8"
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     {
-      "path": "data/train/numina-001056-0001-7341754b790fd6a4.parquet",
-      "sha256": "7341754b790fd6a4df05f63167c42426cb20dc33b991c54e944f6485115c37d3",
       "bytes": 649445,
+      "path": "data/train/pe7/numina-001056-0001-7341754b790fd6a4.parquet",
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       "rows": 11,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "7341754b790fd6a4df05f63167c42426cb20dc33b991c54e944f6485115c37d3"
     },
     {
-      "path": "data/train/numina-001056-0002-f60dcbdc0f9381f4.parquet",
-      "sha256": "f60dcbdc0f9381f412c3fa0b2dd4b893c02e12bc1e1907cdf092eaa6c717ce01",
       "bytes": 212436,
+      "path": "data/train/pe7/numina-001056-0002-f60dcbdc0f9381f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "f60dcbdc0f9381f412c3fa0b2dd4b893c02e12bc1e1907cdf092eaa6c717ce01"
     },
     {
-      "path": "data/train/numina-001056-0003-2875c903184e9905.parquet",
-      "sha256": "2875c903184e990563d0b1c54bc80b7cc4c493a55f4a8c63c762298953562de7",
       "bytes": 1184013,
+      "path": "data/train/pe7/numina-001056-0003-2875c903184e9905.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "2875c903184e990563d0b1c54bc80b7cc4c493a55f4a8c63c762298953562de7"
     },
     {
-      "path": "data/train/numina-001056-0004-d558b383f2f0b77b.parquet",
-      "sha256": "d558b383f2f0b77b27bdb9c5853c9d1e0d470abc072e828f7d917147cb38baa5",
       "bytes": 1269605,
+      "path": "data/train/pe7/numina-001056-0004-d558b383f2f0b77b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "d558b383f2f0b77b27bdb9c5853c9d1e0d470abc072e828f7d917147cb38baa5"
     }
-  ],
-  "proof_ids": [
-    "numina:26191aed-c3ee-532f-886b-6c5433fa21c2",
-    "numina:2cc63d96-f90f-53f0-a00f-221d37a951f6",
-    "numina:a4ad52ae-27ec-55e9-a981-2c4231a8a387",
-    "numina:d38db9ee-6f2b-5af4-911e-23d64eb4feb9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005281.lean\",\"48b9d9c396c9158069b6a8fa00b4b2ae681c786f42bdb32d7b51ccd56686c345\",0,\"algebra_9185\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005282.lean\",\"1fbdfd56f6a24df768f306cec4886fea6320e34126dff4b11d7149010a98b7de\",0,\"algebra_9187\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005283.lean\",\"f197cebf3c5c968e0a31405ecd39fcf4159df64070da8812ca25e3b2a3947abf\",0,\"algebra_22192\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005284.lean\",\"9f42ffba66712d217ca375c8e0ca0f69346588d00a3e5a9a4399281abecd51c1\",0,\"inequalities_605762\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001057.json b/manifests/batches/numina/001057.json
index 23d0479a7193af87feba1100fdcf707f10e8fce4..f125ab1ed2784958e8332de326960ed2714be6d1 100644
--- a/manifests/batches/numina/001057.json
+++ b/manifests/batches/numina/001057.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001057",
   "batch_fingerprint": "0c535f0230df1cffc80efe4242541d82d51899de573186145c20f6dc6bf25edc",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:197b3c87-50d9-56a2-8740-d7d83df5ffba",
+    "numina:496f71fb-28fa-5d2c-8e29-2c03d3443cf1",
+    "numina:67a67d40-b8aa-526e-953e-63ae1e813a87",
+    "numina:b6896595-64bc-59e8-9072-d43bc4ce456b",
+    "numina:ec539625-a159-5c65-a057-87fd2cb4e18d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005285.lean\",\"6ef4c67cf5d5dbd7c63d0350a0e8611e65e9e515bbd6b3a455b8d6c940ab2a6b\",0,\"number_theory_609784\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005286.lean\",\"723e7d0308c586b0e40d526a9d5c03aa1e3995d1e2086d270ba826f9abd7ad34\",0,\"algebra_16957\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005287.lean\",\"0f54870bb52e7953bbed00413a7bf632882187bcd3f7cc50fd1d50dead9a2562\",0,\"number_theory_19028\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005288.lean\",\"4294981176213dc2487e4059c210671e29cbb6e8d04e5b5c6c05e167214d7a59\",0,\"number_theory_260545\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005289.lean\",\"c6b40f65b5f5d0934bb40265e9e7e760e9491e91dfaa823454bc441f9966f767\",0,\"Number_Theory_610303\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001057-0000-bde806b6406d0298.parquet",
-      "sha256": "bde806b6406d02989b982bcfa919352dbdebe3dff1f906b7df6bbe18291d6959",
       "bytes": 152403,
+      "path": "data/train/p8f/numina-001057-0000-bde806b6406d0298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "bde806b6406d02989b982bcfa919352dbdebe3dff1f906b7df6bbe18291d6959"
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-      "path": "data/train/numina-001057-0001-adfcd2193424a811.parquet",
-      "sha256": "adfcd2193424a81123d6a168ffca3afcc99cdcc6b52ad54c3365c28db1307363",
       "bytes": 486070,
+      "path": "data/train/p8f/numina-001057-0001-adfcd2193424a811.parquet",
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       "rows": 1,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "adfcd2193424a81123d6a168ffca3afcc99cdcc6b52ad54c3365c28db1307363"
     },
     {
-      "path": "data/train/numina-001057-0002-6b947f7de820e6ce.parquet",
-      "sha256": "6b947f7de820e6ce8b265967bb0723418550189c8acae5c3d7d51ac92036a2ae",
       "bytes": 500278,
+      "path": "data/train/p8f/numina-001057-0002-6b947f7de820e6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "6b947f7de820e6ce8b265967bb0723418550189c8acae5c3d7d51ac92036a2ae"
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-      "path": "data/dev/numina-001057-0000-4d7ef1c00132a072.parquet",
-      "sha256": "4d7ef1c00132a0728ab27ff483240614f2bd33f308b64578d3387a92d7d0c7d4",
       "bytes": 94822,
+      "path": "data/dev/p8f/numina-001057-0000-4d7ef1c00132a072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "4d7ef1c00132a0728ab27ff483240614f2bd33f308b64578d3387a92d7d0c7d4"
     },
     {
-      "path": "data/internal_test/numina-001057-0000-5b2d163674366a79.parquet",
-      "sha256": "5b2d163674366a7948f68b415ff889672c710efd51fc1561451ca64b2f84c45b",
       "bytes": 121500,
+      "path": "data/internal_test/p8f/numina-001057-0000-5b2d163674366a79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "a2c94f238f7a4cb92318e3ba723bacb14608f4d5"
+      "sha256": "5b2d163674366a7948f68b415ff889672c710efd51fc1561451ca64b2f84c45b"
     }
-  ],
-  "proof_ids": [
-    "numina:197b3c87-50d9-56a2-8740-d7d83df5ffba",
-    "numina:496f71fb-28fa-5d2c-8e29-2c03d3443cf1",
-    "numina:67a67d40-b8aa-526e-953e-63ae1e813a87",
-    "numina:b6896595-64bc-59e8-9072-d43bc4ce456b",
-    "numina:ec539625-a159-5c65-a057-87fd2cb4e18d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005285.lean\",\"6ef4c67cf5d5dbd7c63d0350a0e8611e65e9e515bbd6b3a455b8d6c940ab2a6b\",0,\"number_theory_609784\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005286.lean\",\"723e7d0308c586b0e40d526a9d5c03aa1e3995d1e2086d270ba826f9abd7ad34\",0,\"algebra_16957\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005287.lean\",\"0f54870bb52e7953bbed00413a7bf632882187bcd3f7cc50fd1d50dead9a2562\",0,\"number_theory_19028\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005288.lean\",\"4294981176213dc2487e4059c210671e29cbb6e8d04e5b5c6c05e167214d7a59\",0,\"number_theory_260545\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005289.lean\",\"c6b40f65b5f5d0934bb40265e9e7e760e9491e91dfaa823454bc441f9966f767\",0,\"Number_Theory_610303\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001058.json b/manifests/batches/numina/001058.json
index 9a33724eda5a799ab9c63c8f16468153b70b551f..3da5681e7e47ad0346b68385e6d6cbe18710cd70 100644
--- a/manifests/batches/numina/001058.json
+++ b/manifests/batches/numina/001058.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001058",
   "batch_fingerprint": "e8f9a947ba82df019259beeaa6afada66f33f2f97ddd05b336e7e8ed818d0f14",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001058-0000-5e566b7e79bc442a.parquet",
-      "sha256": "5e566b7e79bc442ab8450837106cedcb49a16a0a04b9b3f73d24c74b6a0b1e16",
-      "bytes": 334910,
-      "rows": 62,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/numina-001058-0000-e8415bc2f308d27f.parquet",
-      "sha256": "e8415bc2f308d27f70309d824ad0598b2f85f60bdfa08477df71d91ad895dea5",
-      "bytes": 105623,
-      "rows": 4,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:090aa385-c4ce-5da7-9719-14475029c705",
     "numina:65d27429-1d8b-5607-a605-bf8dc58ebf80",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005292.lean\",\"725544cb2bc4d36010b1e02f2e830a6fd705c22c26a0337f5b3dec64e013001a\",0,\"inequalities_605765\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005293.lean\",\"c88fa1055a15b4a0e046e7e50f20a9210b3d014b5a77bb2c282e322933318fc1\",0,\"algebra_98177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005294.lean\",\"a82ccf0301a6520afbe5949a89d87a7f2d8ad4101eba029b4fc3eb09a93a51b1\",0,\"algebra_9191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334910,
+      "path": "data/train/p10/numina-001058-0000-5e566b7e79bc442a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "5e566b7e79bc442ab8450837106cedcb49a16a0a04b9b3f73d24c74b6a0b1e16"
+    },
+    {
+      "bytes": 105623,
+      "path": "data/internal_test/p10/numina-001058-0000-e8415bc2f308d27f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e8415bc2f308d27f70309d824ad0598b2f85f60bdfa08477df71d91ad895dea5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001059.json b/manifests/batches/numina/001059.json
index 7d0b59a83aea093c951aac60772ae898a796ddb9..84080780b9b1251560d7d6c0c7c41b6b20ae010b 100644
--- a/manifests/batches/numina/001059.json
+++ b/manifests/batches/numina/001059.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001059",
   "batch_fingerprint": "e731c078e0d0e648ca5ac218e3f3da85cd621a0e0a6c2cddcef5a1025a96aaa8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001059-0000-6e45dba63fd58cb0.parquet",
-      "sha256": "6e45dba63fd58cb062768a63286e75bd746ce649cd0d29682c6ae56b6bacddc4",
-      "bytes": 414788,
-      "rows": 54,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    },
-    {
-      "path": "data/internal_test/numina-001059-0000-00ca0bbdafb9deea.parquet",
-      "sha256": "00ca0bbdafb9deead0211c39fa882ec6b48d5515f7d773d8feddc3503a3a9ac4",
-      "bytes": 43714,
-      "rows": 5,
-      "revision": "36d006879c048469ad26771e00e7ea68b1e47a95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d9bd8c5-1308-58ce-8afd-6702b29c70c6",
     "numina:40ab4619-99c0-5331-8030-8dd8e217d5f6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005297.lean\",\"826aa166ab9b154492043edf6ff3f6e0114ebd251bd3c521bc5bfb0647bef0ed\",0,\"algebra_9193\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005298.lean\",\"40a611dfce45010b0cf1ffc0f5ae9a477b8ca41c67b26cb48d52ea43b19c08a4\",0,\"calculus_17155\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005299.lean\",\"05f0a67344263891214f8a9cf5304f55a933d2755c33c11c17463fbdf45e9775\",0,\"algebra_9249\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414788,
+      "path": "data/train/p4e/numina-001059-0000-6e45dba63fd58cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "6e45dba63fd58cb062768a63286e75bd746ce649cd0d29682c6ae56b6bacddc4"
+    },
+    {
+      "bytes": 43714,
+      "path": "data/internal_test/p4e/numina-001059-0000-00ca0bbdafb9deea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "00ca0bbdafb9deead0211c39fa882ec6b48d5515f7d773d8feddc3503a3a9ac4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001060.json b/manifests/batches/numina/001060.json
index 7299bbba4fab1d4bb34d07beca708210d98e3bcb..e8a44a1622658ea2ab0b72ab790b8839c77727fa 100644
--- a/manifests/batches/numina/001060.json
+++ b/manifests/batches/numina/001060.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001060",
   "batch_fingerprint": "8d5b9cb07891f479f72683965908893ac48f4c3423204406cbfaa7b6dcd6be17",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001060-0000-e1cf3b2db41e3d61.parquet",
-      "sha256": "e1cf3b2db41e3d61f95ee600e709a1daa9bea0d70cba6eafc1bdb47f5891adf5",
-      "bytes": 225826,
-      "rows": 13,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/numina-001060-0000-6b3c4225733e8f13.parquet",
-      "sha256": "6b3c4225733e8f137acbeca515e4680604a2ca741fed31b27ce171f343ac7284",
-      "bytes": 48729,
-      "rows": 4,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:218de887-3212-5964-86e7-5aed9278cf24",
     "numina:6c901385-8e66-598f-ae6b-717f5a430db5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005302.lean\",\"fe9c1307b787de30888e739b40e43eec30c4649137e0629e85a1a000c16c172a\",0,\"algebra_17156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005303.lean\",\"6f8f6de3229cecaf1d43791396ab161cb0fb0afaddedcf8234d27972d98cc565\",0,\"algebra_117137\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005304.lean\",\"404b113a3f73887c567dd390f2fad4f74bd8cec17a172fb160705dbd80d96d04\",0,\"algebra_12068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225826,
+      "path": "data/train/p53/numina-001060-0000-e1cf3b2db41e3d61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e1cf3b2db41e3d61f95ee600e709a1daa9bea0d70cba6eafc1bdb47f5891adf5"
+    },
+    {
+      "bytes": 48729,
+      "path": "data/internal_test/p53/numina-001060-0000-6b3c4225733e8f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6b3c4225733e8f137acbeca515e4680604a2ca741fed31b27ce171f343ac7284"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001061.json b/manifests/batches/numina/001061.json
index 7ad4e2ca0134abd36bfdcb4387333bbcc6176eb4..707864a4f67e09c4536c69e9e761ef5cdc1830da 100644
--- a/manifests/batches/numina/001061.json
+++ b/manifests/batches/numina/001061.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001061",
   "batch_fingerprint": "8d402c49540520f67a42641d858be2b6bcf78a527da1d60054e49282e1675de1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001061-0000-a197d25d6c6f6c83.parquet",
-      "sha256": "a197d25d6c6f6c83b931b6a44a579ad382aad8238166edb3361fb3f8f53d7c23",
-      "bytes": 139168,
-      "rows": 19,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/dev/numina-001061-0000-19632bc1ec213e10.parquet",
-      "sha256": "19632bc1ec213e1051898756a98d2bfb801204cbb5f7d4e9abccb034b13bb804",
-      "bytes": 24580,
-      "rows": 1,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:42730bdd-73c2-5906-88a4-6d1d23b60086",
     "numina:b7f7cca5-6463-5261-bee8-2cc3dc924ebf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005307.lean\",\"98a702bde39116fb58958ac12c752a3bc638279aaff3560bf02ad6c1787ebb8e\",0,\"algebra_247138\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005308.lean\",\"302be0f2f53a3d21b7528b9bbc81c65fb7eec2589148a4d8208e249293b869e3\",0,\"algebra_11417\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005309.lean\",\"9b1f6e67495cec059bf23c185f156bc91d4f155fd3a0bbdfdc35861539962e22\",0,\"algebra_1141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139168,
+      "path": "data/train/p44/numina-001061-0000-a197d25d6c6f6c83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a197d25d6c6f6c83b931b6a44a579ad382aad8238166edb3361fb3f8f53d7c23"
+    },
+    {
+      "bytes": 24580,
+      "path": "data/dev/p44/numina-001061-0000-19632bc1ec213e10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "19632bc1ec213e1051898756a98d2bfb801204cbb5f7d4e9abccb034b13bb804"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001062.json b/manifests/batches/numina/001062.json
index 6a7173df29ceb4cd687cc6ec3ceaf47f10b6c912..c79dc5100487efac29201a1bc61d1d751e719eaf 100644
--- a/manifests/batches/numina/001062.json
+++ b/manifests/batches/numina/001062.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001062",
   "batch_fingerprint": "6919d0a6f1921093937a695e40bb7cba7d4466afb6d5a1a116b92e2875779aca",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001062-0000-9bc7469e48ecc6c5.parquet",
-      "sha256": "9bc7469e48ecc6c576a237aa8d6584f0deb10809ad2df866aa15fd4cde15afd9",
-      "bytes": 382573,
-      "rows": 113,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/numina-001062-0000-e3ecbc55f669e85c.parquet",
-      "sha256": "e3ecbc55f669e85cddd81f50d7a1c0c3bd984b384d172d43268aa31f2e0536bb",
-      "bytes": 54083,
-      "rows": 15,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13348f72-188c-5198-885b-ad4cea470251",
     "numina:1d8d3001-4bac-5d7c-952f-a3c988a237e3",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005311.lean\",\"30b5935e6a90bc7541a951adf7530bc956d35589f91883af7136cdb7627f5ff3\",0,\"algebra_15813\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005313.lean\",\"343197ccfb0d5f8d60e1615cdb5fe84461d10713e7e3123f0df5991795332cb8\",0,\"algebra_21857\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005314.lean\",\"656ac74d37b2005dd80872505a83566d2dbf0d26b9e11ada91eb5248fc89852d\",0,\"algebra_18666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382573,
+      "path": "data/train/p03/numina-001062-0000-9bc7469e48ecc6c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 113,
+      "sha256": "9bc7469e48ecc6c576a237aa8d6584f0deb10809ad2df866aa15fd4cde15afd9"
+    },
+    {
+      "bytes": 54083,
+      "path": "data/internal_test/p03/numina-001062-0000-e3ecbc55f669e85c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e3ecbc55f669e85cddd81f50d7a1c0c3bd984b384d172d43268aa31f2e0536bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001063.json b/manifests/batches/numina/001063.json
index c3e319ee46b5ed21380c74a8cde4e34bc0a0b49c..aaedbfa9ac3cae9bc60436c981a38451da96b500 100644
--- a/manifests/batches/numina/001063.json
+++ b/manifests/batches/numina/001063.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001063",
   "batch_fingerprint": "6eca0fa10f5a3cbcc136d0cf8ff49101ed03228ca9ee081c57e297f607c8be8d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001063-0000-623381d7ee58f1bc.parquet",
-      "sha256": "623381d7ee58f1bcf591bc38277597b0db7598878a499dcd4185af82840cbabf",
-      "bytes": 93543,
-      "rows": 22,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:64fa58df-db61-5576-be9e-8201fc606202",
     "numina:71a09455-3215-5e88-bea4-3d4f2c06e068",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005318.lean\",\"980439e7461ab549c83d321650327731bee2c18a3002601b11641e4436ccb3c7\",0,\"algebra_16612\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005319.lean\",\"dc7444465ef91576bf1494a6f669195659f64334ad2dac9c2818f47d04b34423\",0,\"algebra_97260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93543,
+      "path": "data/train/pdf/numina-001063-0000-623381d7ee58f1bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "623381d7ee58f1bcf591bc38277597b0db7598878a499dcd4185af82840cbabf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001064.json b/manifests/batches/numina/001064.json
index 50096718330aa449e155648b976baffb0f5dddf4..4da3f4a8d19b9733c7ddc45cc925eaf2a362ed3a 100644
--- a/manifests/batches/numina/001064.json
+++ b/manifests/batches/numina/001064.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001064",
   "batch_fingerprint": "efa43e6e4cf5c3fb51fe0ab30780afaae5af9e797e8c5e8f88da43376010963b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001064-0000-26519fc7c91c0bca.parquet",
-      "sha256": "26519fc7c91c0bcade061ab8e2d5531807642e1582c78abbc1aa63f6977df647",
-      "bytes": 758400,
-      "rows": 52,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:241a8561-ff9a-5868-9b7f-3fb8cdb48833",
     "numina:264ed071-e4c8-56f1-a77e-15e23c6205fa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005322.lean\",\"e9f67d1cd0a0ea5165a35b033dd30b243a6fe752a2d8a0c3c068c0197ece1c1c\",0,\"algebra_605068\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005323.lean\",\"2445f8e64c293fd0ac3c6441dee23a98902dc9cbeea54cd972d3995f3d6f9959\",0,\"number_theory_184632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005324.lean\",\"279a4ad9d5ae885cfa3c394c814fc2ec045f8c57a30fe7a650cea1a1bc5f434f\",0,\"algebra_13412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 758400,
+      "path": "data/train/p23/numina-001064-0000-26519fc7c91c0bca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "26519fc7c91c0bcade061ab8e2d5531807642e1582c78abbc1aa63f6977df647"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001065.json b/manifests/batches/numina/001065.json
index 3fb057d7b339bce64d52c5d95be3382924374250..358d0b18115b7c2e32c46f015da207947a9e5c19 100644
--- a/manifests/batches/numina/001065.json
+++ b/manifests/batches/numina/001065.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001065",
   "batch_fingerprint": "9270c71afb82b31d6aad010b85edbaff79bafc3cee250d19e01741ea44982a6f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001065-0000-430e3596ae4aabb9.parquet",
-      "sha256": "430e3596ae4aabb9445a35721a4bd5940ba97692ba3f8147e0e1e62f42c1723c",
-      "bytes": 294646,
-      "rows": 25,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:217bb872-0279-5921-af5e-44eb981a9c3e",
     "numina:31d47f07-774c-5061-b433-4fa42a1d8a33",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005328.lean\",\"79753f966e5e7f9928b99a630163bcabd58568b12710b206a438369f813a7201\",0,\"algebra_94704\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005329.lean\",\"b21f3e1f0e163661336800bc407d60408b741037cb8f7dcbea43095ebe693aee\",0,\"algebra_15605\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294646,
+      "path": "data/train/pc6/numina-001065-0000-430e3596ae4aabb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "430e3596ae4aabb9445a35721a4bd5940ba97692ba3f8147e0e1e62f42c1723c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001066.json b/manifests/batches/numina/001066.json
index 5f18d2e14b3f221272a5092ceaf2b15f49c6eb9c..743b748571b7783406a2786ab651fa928dd7d9d5 100644
--- a/manifests/batches/numina/001066.json
+++ b/manifests/batches/numina/001066.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001066",
   "batch_fingerprint": "208987aad5cc2e84db89dd388d21468575b2d127306bc68ff7a92e367eafa629",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001066-0000-eb6e7186e44cd782.parquet",
-      "sha256": "eb6e7186e44cd7820418411d560c249cd810096dca3237f16934009821245f66",
-      "bytes": 229841,
-      "rows": 24,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    },
-    {
-      "path": "data/internal_test/numina-001066-0000-553fceff5bf85621.parquet",
-      "sha256": "553fceff5bf8562189a13f9b00c3708d8eaa7eccaddeb83febcb660e4e89c7b2",
-      "bytes": 84393,
-      "rows": 9,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1de24453-cc62-596d-9065-3bad89b57993",
     "numina:201cf86e-6dce-5573-baa9-f20beb2ac92f",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005333.lean\",\"2192a95d1f37bad0e9883b26324d963c0cdd221471f3286ca7e797c7a5a43f01\",0,\"algebra_94554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005334.lean\",\"4abb5771e37d3622c71b88bad8b32d113fad28e5b933e505875c93c3ce3237ab\",0,\"algebra_611145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229841,
+      "path": "data/train/p41/numina-001066-0000-eb6e7186e44cd782.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "eb6e7186e44cd7820418411d560c249cd810096dca3237f16934009821245f66"
+    },
+    {
+      "bytes": 84393,
+      "path": "data/internal_test/p41/numina-001066-0000-553fceff5bf85621.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "553fceff5bf8562189a13f9b00c3708d8eaa7eccaddeb83febcb660e4e89c7b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001067.json b/manifests/batches/numina/001067.json
index 5da0f5d2bfc6e7fa02f5361d43820de1697cc53d..432c55daa91d0f172d3cc1152e778b8b959d29af 100644
--- a/manifests/batches/numina/001067.json
+++ b/manifests/batches/numina/001067.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001067",
   "batch_fingerprint": "c7a5d2739dd5f10b87adee62c221c860b6ead95fc5efa3c1944ac81d8507b838",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001067-0000-267fa5ddb1982880.parquet",
-      "sha256": "267fa5ddb1982880ffb9fcd07bd3f2bab1e21a65d32958407799ce82436aa3c8",
-      "bytes": 507656,
-      "rows": 29,
-      "revision": "dba111fd9275d2167af4c0843d88dd0b7673f8f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:189d035f-3e14-5267-b791-b93c5ab1a67c",
     "numina:1f7b7331-f38f-5d61-861e-1e4fafc8b8c9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005337.lean\",\"2e91f49ce31119aba069c5941071a4c72cf4fb8bb91fe4171c9ac0e185277321\",0,\"algebra_17112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005338.lean\",\"4e7947d208a4bb8805a96a4f5d9f741d0955f145dc524f74ee25ba1459dc0d94\",0,\"algebra_11825\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005339.lean\",\"61f64cc622498208c23fd3fb4abc9c9ffa78c5a993b75b4d00c1cf27daba4daf\",0,\"algebra_227311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 507656,
+      "path": "data/train/p55/numina-001067-0000-267fa5ddb1982880.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "267fa5ddb1982880ffb9fcd07bd3f2bab1e21a65d32958407799ce82436aa3c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001068.json b/manifests/batches/numina/001068.json
index a94f48ff9034119322378f1751a23cde2a7921c1..395452236c6171a3301d12f078951deef787d155 100644
--- a/manifests/batches/numina/001068.json
+++ b/manifests/batches/numina/001068.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001068",
   "batch_fingerprint": "fbed399a24ed74d5f4018ad690366bfe63c4da8f333ef9c94c41b69996e49ffc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001068-0000-ebedc198945e786e.parquet",
-      "sha256": "ebedc198945e786e3c5f2548307610483bb774f6abb4cc400842b239bb4dc31f",
-      "bytes": 570594,
-      "rows": 17,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/train/numina-001068-0001-24423f52ac329ac6.parquet",
-      "sha256": "24423f52ac329ac656406b5f6ea43c0940a243888c528a4559817ff1c63082ca",
-      "bytes": 906021,
-      "rows": 25,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c9ecd6b-84a4-5fdf-87e5-5e51b5788159",
     "numina:12ee0e28-7cfb-55a3-a7fd-99bd302865bf",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005344.lean\",\"fcc1bce8846367d9e119cccac55c5aee3c4c26e0a59736e35d92be76cd422348\",0,\"algebra_20076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 570594,
+      "path": "data/train/pd1/numina-001068-0000-ebedc198945e786e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ebedc198945e786e3c5f2548307610483bb774f6abb4cc400842b239bb4dc31f"
+    },
+    {
+      "bytes": 906021,
+      "path": "data/train/pd1/numina-001068-0001-24423f52ac329ac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "24423f52ac329ac656406b5f6ea43c0940a243888c528a4559817ff1c63082ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001069.json b/manifests/batches/numina/001069.json
index 7a577143a7450a62de9982c275d1967592f0e06b..4328809e4a43714111d0112c6602331d93239ee3 100644
--- a/manifests/batches/numina/001069.json
+++ b/manifests/batches/numina/001069.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001069",
   "batch_fingerprint": "efbb48f5f2de622cffc1a6fb0b426856e4c6311b2dd75da09901be04dc8e4621",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001069-0000-4622981ebad5b277.parquet",
-      "sha256": "4622981ebad5b277838dd17a49b2d6532d460ee5a8d0e8bd26fc1ba408bee005",
-      "bytes": 80516,
-      "rows": 14,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34118550-22fd-551d-9d48-9a5d814f3d6b",
     "numina:4ad62068-b1cb-5ab3-b14c-81462a83a103",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005347.lean\",\"fbe370f6000b6e1b69906039952d4f62386cbdd4008155d7cac8115f3c4608f5\",0,\"algebra_9227\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005348.lean\",\"d3588de66c4d3752589c3f38fd3ea3e36f672af6f3b0ad480907b822f55f7281\",0,\"number_theory_15294\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005349.lean\",\"f17039d8552316427079728ce9ea6d2829235a27369349e0690552f08e25f313\",0,\"algebra_13501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80516,
+      "path": "data/train/pdc/numina-001069-0000-4622981ebad5b277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4622981ebad5b277838dd17a49b2d6532d460ee5a8d0e8bd26fc1ba408bee005"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001070.json b/manifests/batches/numina/001070.json
index 5812df1bbef9e02f207d107b896bf08edd92bef6..797191c1f02d7f88fae50af4c6293170ae65cf79 100644
--- a/manifests/batches/numina/001070.json
+++ b/manifests/batches/numina/001070.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001070",
   "batch_fingerprint": "92ee2b7a0669f6fab8999ab8a84836d806a10182c69e83f84d1dc38087a847bf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001070-0000-bc3db11f4e9daaca.parquet",
-      "sha256": "bc3db11f4e9daaca612668100f2271ae338ba026a1c3f0b04b6e772a5027fab0",
-      "bytes": 405170,
-      "rows": 12,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/numina-001070-0000-f3720fe75554f9f9.parquet",
-      "sha256": "f3720fe75554f9f95e114bc30973a064d996366a1992c8099ab1103c532f3475",
-      "bytes": 33723,
-      "rows": 4,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:43be12a7-41a8-53f9-b063-d3e899c02d5f",
     "numina:701e83de-b17a-5786-af0b-6675d02895ea",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005352.lean\",\"0cc1f16740ff5531754b21701c13dc29f616f2f355ef3dc282df9bf8522290ec\",0,\"number_theory_17010\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005353.lean\",\"ec6ffbbf4d6cc64808069c687f44ad93bc08d65df74bc8bad24d54816393e27b\",0,\"number_theory_94593\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005354.lean\",\"2b9700ba56c324372861760a6bcb6d49817e5a8c61dc186a508665d8bdb03200\",0,\"algebra_11293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 405170,
+      "path": "data/train/pb8/numina-001070-0000-bc3db11f4e9daaca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bc3db11f4e9daaca612668100f2271ae338ba026a1c3f0b04b6e772a5027fab0"
+    },
+    {
+      "bytes": 33723,
+      "path": "data/internal_test/pb8/numina-001070-0000-f3720fe75554f9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f3720fe75554f9f95e114bc30973a064d996366a1992c8099ab1103c532f3475"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001071.json b/manifests/batches/numina/001071.json
index 4c6dbcfc600c53dfd3e21290113dbaa1e5dc3f0a..671131c35e0865e6f2818acd23a57f5a437597a6 100644
--- a/manifests/batches/numina/001071.json
+++ b/manifests/batches/numina/001071.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001071",
   "batch_fingerprint": "d80216b06b2e661e6d4d0e69b7b6c2138e2b6984ac60b5cd4b280538e0822c5e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001071-0000-2e865892e7358c4d.parquet",
-      "sha256": "2e865892e7358c4dc2d4b0cf382c92568f4cf504ac73b040292287c3b28f4d2f",
-      "bytes": 173503,
-      "rows": 15,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/internal_test/numina-001071-0000-ca39773712e28970.parquet",
-      "sha256": "ca39773712e2897036bd33aee688e565fd7579273729c09e95c2388020af0768",
-      "bytes": 251786,
-      "rows": 19,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12488c90-982c-587b-931e-00e68118765f",
     "numina:555f1ee8-a518-5114-8abe-556ba653c059",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005357.lean\",\"2406dad1ad78c6574bf8bac8f696b27b93fa915ec0ca8a6a6a1366c6d22ca71d\",0,\"algebra_284698\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005358.lean\",\"83ea4f0b936970de193b9d34ff02954031061e3c3fbfa30ce1667f4478b28f6e\",0,\"inequalities_604420\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005359.lean\",\"424f7b7c3e31b6ec704da52af97b1a6646702d123e44401f9c11d51b3ef23b07\",0,\"algebra_14058\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173503,
+      "path": "data/train/pbb/numina-001071-0000-2e865892e7358c4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2e865892e7358c4dc2d4b0cf382c92568f4cf504ac73b040292287c3b28f4d2f"
+    },
+    {
+      "bytes": 251786,
+      "path": "data/internal_test/pbb/numina-001071-0000-ca39773712e28970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ca39773712e2897036bd33aee688e565fd7579273729c09e95c2388020af0768"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001072.json b/manifests/batches/numina/001072.json
index eb5388fad9229134db192e575c70e29ea518ed46..e3fb20a9bde95d419bbbeabde11a5a404af7096d 100644
--- a/manifests/batches/numina/001072.json
+++ b/manifests/batches/numina/001072.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001072",
   "batch_fingerprint": "5f0b49042488cf2b74d5faca74ae3338c5d4e148a912127b835969a431e173db",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001072-0000-685a731f98c8dfb6.parquet",
-      "sha256": "685a731f98c8dfb6d5e8abe0a25bb6c89e8890cf07ad95d955cf597037af8e11",
-      "bytes": 729249,
-      "rows": 9,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    },
-    {
-      "path": "data/train/numina-001072-0001-3e131dc96e7017f8.parquet",
-      "sha256": "3e131dc96e7017f8766dd0bdf7f2a17cd5ffabe9260dff5e65c8f12883aa6d14",
-      "bytes": 304879,
-      "rows": 5,
-      "revision": "f8fb5337051b514819efca25b9d383cc9b1966b3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2af76d85-e8a2-546c-b1db-4f838cebe6f4",
     "numina:500fa2e4-8712-5767-ab9a-62db6d90f07a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005362.lean\",\"a5cfb8cc0244cf1cbb20309b3ad13d13223ea477013b8407a9876fbab460e8bf\",0,\"algebra_16312\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005363.lean\",\"0d72ce4cb3ef6519f105f60752edea12b168159e15b74b5047eda9e81adb8816\",1,\"intermediate_algebra_4079\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005364.lean\",\"72554906edf826c51f0ec8e9ae903cbf562dd48636ef9e136e2f241548fc93ca\",0,\"algebra_20790\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 729249,
+      "path": "data/train/p79/numina-001072-0000-685a731f98c8dfb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "685a731f98c8dfb6d5e8abe0a25bb6c89e8890cf07ad95d955cf597037af8e11"
+    },
+    {
+      "bytes": 304879,
+      "path": "data/train/p79/numina-001072-0001-3e131dc96e7017f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3e131dc96e7017f8766dd0bdf7f2a17cd5ffabe9260dff5e65c8f12883aa6d14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001073.json b/manifests/batches/numina/001073.json
index 4a5965f91be37e6240523a194c4f872f67d02c51..22523646bb04f2cbcf1fdba90ebac7ca09c0d8f5 100644
--- a/manifests/batches/numina/001073.json
+++ b/manifests/batches/numina/001073.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001073",
   "batch_fingerprint": "47625ec317c45e1f1e3e6c04e958e1665c0ef76db18e2bd1d2422d6b7eaca826",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001073-0000-0f82b4c3add689d1.parquet",
-      "sha256": "0f82b4c3add689d1f760f0f378d36a4b00ecb1cddb7d07f070c686af2d55092a",
-      "bytes": 214469,
-      "rows": 31,
-      "revision": "5fcf6fc55d3c9be348b2d7c327bf297e1a47f589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:242e0eae-6b52-5711-83d2-3623a38445a0",
     "numina:32cefb9b-6e44-521f-aeac-0c4fe0ef4e1c",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005367.lean\",\"791072b7b477717fe312d65fa80bb1f029549767678cfecd0b5f1a4979aca585\",0,\"algebra_93536\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005368.lean\",\"f5a5a522a6be9d4175d4e5bb80c97c662b5c2cbe0f1830e76de1af3564087bea\",0,\"algebra_216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005369.lean\",\"622e6f3f30af88355b4727dfa4f022183e02930ebd2d14ccb5f7534344836ddc\",0,\"algebra_202329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214469,
+      "path": "data/train/pf7/numina-001073-0000-0f82b4c3add689d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "0f82b4c3add689d1f760f0f378d36a4b00ecb1cddb7d07f070c686af2d55092a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001074.json b/manifests/batches/numina/001074.json
index 5644c0e63d7ac98fac4eabd3ffcc1c13006e9053..f32a02dcb14d640c6fe829c383d616f50315d868 100644
--- a/manifests/batches/numina/001074.json
+++ b/manifests/batches/numina/001074.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001074",
   "batch_fingerprint": "2a207c6b688584aa26ea38c6983978931b8d1d3cadb30fee12e9a0bcce5907d0",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001074-0000-2dc6c735406bf102.parquet",
-      "sha256": "2dc6c735406bf102ca2e6dbee1a659d17bda8c97c9a2a4abba7be8c6efa71e05",
-      "bytes": 634011,
-      "rows": 33,
-      "revision": "16054e79291390d2e832c60da5935b5464fe4b09"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a396a04-19a0-54b8-9015-590752c59cac",
     "numina:4cc62d93-3b1b-5684-b78a-f1c727dcd405",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005372.lean\",\"0ebefccc2c753cef7ed01174b0718389db930b0bfdef22adeb9de889131782b9\",0,\"algebra_20361\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005373.lean\",\"ee7599dd796c7958739abc7aee0f9879c28994d25cf9792055b0e14393bd7732\",0,\"algebra_22065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005374.lean\",\"ffe006345e1c41e9b9724dfda8f4935605b56710baf04c2cd2b6bde921f356fb\",0,\"algebra_19979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634011,
+      "path": "data/train/p29/numina-001074-0000-2dc6c735406bf102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "2dc6c735406bf102ca2e6dbee1a659d17bda8c97c9a2a4abba7be8c6efa71e05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001075.json b/manifests/batches/numina/001075.json
index 6075e8607bae06febcaaacf7dec533953e02c6ea..43dc2a9e8cc380f7e9e485fa01833edd3c99514a 100644
--- a/manifests/batches/numina/001075.json
+++ b/manifests/batches/numina/001075.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001075",
   "batch_fingerprint": "c8dd990c6cf2c018c8e61474ba103fe240c23dfdeb1df91d53d525c92e316d17",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001075-0000-e2fdf69170b3f30a.parquet",
-      "sha256": "e2fdf69170b3f30ab9b5e2c0045759a70df7fb1b757c9809ffe7744f68da3b1d",
-      "bytes": 748914,
-      "rows": 23,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/train/numina-001075-0001-a46dfedbbff55cbd.parquet",
-      "sha256": "a46dfedbbff55cbd31a4892f9aef39b680bf1193bb98d51217dac9977f3ab98d",
-      "bytes": 469839,
-      "rows": 23,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    },
-    {
-      "path": "data/train/numina-001075-0002-65df80fbc998f3a3.parquet",
-      "sha256": "65df80fbc998f3a3369171df620c80e4c9778c041b43160db72c918dbaa31e8d",
-      "bytes": 222373,
-      "rows": 9,
-      "revision": "de1ab8ccecec2dbb23850a8862303dbd7729c3c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3db79af4-0ee5-5831-995a-f8c84d9884b7",
     "numina:4cc9ed62-1aad-5d7a-a941-d3b786c905bd",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005377.lean\",\"c15e46dc8515127c33815cc2c1032d9c54785ecba8b8246396bfb1279afd13ce\",0,\"number_theory_4498\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005378.lean\",\"b73cbb47f4cde3dc8a4b8d0de0600a51b83fc5baeeb4424c3ee2ee01e7d54f98\",0,\"algebra_20726\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005379.lean\",\"7f5d3adee679907e97dadcf7916d86692db03ad8d2ec790311edaa2ea8250424\",0,\"algebra_608684\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 748914,
+      "path": "data/train/p9d/numina-001075-0000-e2fdf69170b3f30a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "e2fdf69170b3f30ab9b5e2c0045759a70df7fb1b757c9809ffe7744f68da3b1d"
+    },
+    {
+      "bytes": 469839,
+      "path": "data/train/p9d/numina-001075-0001-a46dfedbbff55cbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "a46dfedbbff55cbd31a4892f9aef39b680bf1193bb98d51217dac9977f3ab98d"
+    },
+    {
+      "bytes": 222373,
+      "path": "data/train/p9d/numina-001075-0002-65df80fbc998f3a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "65df80fbc998f3a3369171df620c80e4c9778c041b43160db72c918dbaa31e8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001076.json b/manifests/batches/numina/001076.json
index c30938cd190369b6fbabecb0e33db9d329a85f5d..13c76c041d7e0cb3b199a0faa9aafe32376d2727 100644
--- a/manifests/batches/numina/001076.json
+++ b/manifests/batches/numina/001076.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001076",
   "batch_fingerprint": "cdf46af79e03eee5becff1dfa2fafdb4b9800f09a6f42fbb5bfa06716a8efaa1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001076-0000-797375274564631c.parquet",
-      "sha256": "797375274564631cbd6d97beb0241a0efeea32321f34b5cc720750760807b806",
-      "bytes": 930159,
-      "rows": 26,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/train/numina-001076-0001-97a8c64aea4986c3.parquet",
-      "sha256": "97a8c64aea4986c37333952fb1d414947a7703a2aa251ce4e108f7c3bd194399",
-      "bytes": 278653,
-      "rows": 24,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5335bf33-265d-5012-b03b-2d50b172518b",
     "numina:ab295da2-2f17-54b0-a195-8d346f33d051",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005382.lean\",\"778736e82dbf2f9cee5d8bef159a323be351fea6712e6b8fad51780997103b56\",0,\"number_theory_608866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005383.lean\",\"1dc2c4de239457312faf06c442332daf1b1a31a785259dcd11929ae1027556be\",0,\"calculus_22298\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005384.lean\",\"184c0055280a4ee94550d3ea33e2c761fbe9f2c860cc01bbf63a574329d506f0\",0,\"number_theory_608730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 930159,
+      "path": "data/train/p50/numina-001076-0000-797375274564631c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "797375274564631cbd6d97beb0241a0efeea32321f34b5cc720750760807b806"
+    },
+    {
+      "bytes": 278653,
+      "path": "data/train/p50/numina-001076-0001-97a8c64aea4986c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "97a8c64aea4986c37333952fb1d414947a7703a2aa251ce4e108f7c3bd194399"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001077.json b/manifests/batches/numina/001077.json
index 0d0c38c1e47ed1be7456ad6dba97cff51f9cf7a2..6d7dfc5e036b9c4ee110328083ba81786dadd54a 100644
--- a/manifests/batches/numina/001077.json
+++ b/manifests/batches/numina/001077.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001077",
   "batch_fingerprint": "8656199fedd797f04c23b01d13acfa5f458377246717aced7c1a34c19fa1860b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001077-0000-fca6e1267c9be985.parquet",
-      "sha256": "fca6e1267c9be985c3ce1c360fcaddd2beef73601d02d09ca41f9954d79e2a3b",
-      "bytes": 355175,
-      "rows": 41,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/numina-001077-0000-25f7b1578535feaf.parquet",
-      "sha256": "25f7b1578535feafc4cdde37fcc073a87150ec5b3ec28ab4eb5f0e51bafdd509",
-      "bytes": 53882,
-      "rows": 9,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1db3cf23-4aec-5c59-8178-3e366aa63a0c",
     "numina:2bde10bc-709f-5106-b698-c7e247e5b398",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005387.lean\",\"63f2fe0a81c7d82a731afac555e3d73e9a9ffb27a117b226959fbde3655ea2cc\",0,\"number_theory_609646\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005388.lean\",\"ce4c2f4af12169cb366d3e09a2fc7365aa6febe5b9c03b229ad63b66a681e462\",0,\"algebra_22113\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005389.lean\",\"e2ac7b7b664e41199e0790efdab2f80fde572f92f3d0f81703bd848ee1c1ec55\",0,\"number_theory_202501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355175,
+      "path": "data/train/pe0/numina-001077-0000-fca6e1267c9be985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "fca6e1267c9be985c3ce1c360fcaddd2beef73601d02d09ca41f9954d79e2a3b"
+    },
+    {
+      "bytes": 53882,
+      "path": "data/internal_test/pe0/numina-001077-0000-25f7b1578535feaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "25f7b1578535feafc4cdde37fcc073a87150ec5b3ec28ab4eb5f0e51bafdd509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001078.json b/manifests/batches/numina/001078.json
index de2736173ff2d3eda0a3ca43544242863008b6d0..0fefb83499a5b248997265428857c2f1fc267399 100644
--- a/manifests/batches/numina/001078.json
+++ b/manifests/batches/numina/001078.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001078",
   "batch_fingerprint": "250d2a8f75e107dc64508cc346fd395620bf912941c7b9704406a7d0f8dc4ea3",
   "evidence": {
@@ -19,55 +18,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:44450537-c236-58d7-9a40-a1afa0c032d2",
+    "numina:711f98f2-a87c-5f00-a477-174c1674841a",
+    "numina:b97018ae-9dd1-5f78-8fef-7d136653f106",
+    "numina:c9586494-aec1-5784-a3f8-fb24d4a92656",
+    "numina:e75e5cd3-e421-520f-85f8-8ca30085a212"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005390.lean\",\"2fec31843b381f8bef4f309f7e3ed0842a5f907fc4e1143b40dac7b7a4670347\",1,\"algebra_628897\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005391.lean\",\"a9ffd71c2fee1c0a449cff753f5c996dcfd0235b1dfeb6a49ddc86bbd2af23bb\",0,\"number_theory_22865\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005392.lean\",\"61f61125e8d85ec2b758ba047276c88983f187d0bc19c4897bc44fc4daa5629f\",0,\"algebra_22534\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005393.lean\",\"db157bd5c8eb1cdcb544056dccb8676c1f6fdc1656a4b9f926c456660f558d96\",0,\"number_theory_211514\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005394.lean\",\"8d299b5edc9107700efeb6cbd4dfeaee652797a115ad21632e9f1afe3853bd23\",0,\"calculus_22045\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001078-0000-710551040b8205c8.parquet",
-      "sha256": "710551040b8205c86426d9a71385426c691bca7e355d31ec4849ed76fa43ea8c",
       "bytes": 493159,
+      "path": "data/train/p1d/numina-001078-0000-710551040b8205c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 50,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
+      "sha256": "710551040b8205c86426d9a71385426c691bca7e355d31ec4849ed76fa43ea8c"
     },
     {
-      "path": "data/train/numina-001078-0001-842da96751971664.parquet",
-      "sha256": "842da96751971664c2e08f804afa6cf2ef260f8fecdf1902b5d3630a76749289",
       "bytes": 588866,
+      "path": "data/train/p1d/numina-001078-0001-842da96751971664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
+      "sha256": "842da96751971664c2e08f804afa6cf2ef260f8fecdf1902b5d3630a76749289"
     },
     {
-      "path": "data/train/numina-001078-0002-ed3ea3c4451a269f.parquet",
-      "sha256": "ed3ea3c4451a269f498dbfe8e78d80c174678ebed52ac8791e418d19d65646a5",
       "bytes": 757240,
+      "path": "data/train/p1d/numina-001078-0002-ed3ea3c4451a269f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
+      "sha256": "ed3ea3c4451a269f498dbfe8e78d80c174678ebed52ac8791e418d19d65646a5"
     },
     {
-      "path": "data/train/numina-001078-0003-2eccf4021627ee59.parquet",
-      "sha256": "2eccf4021627ee59c08da3abefb55b4cda57c164d2874a96c542ca869c29b985",
       "bytes": 402941,
+      "path": "data/train/p1d/numina-001078-0003-2eccf4021627ee59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 35,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
+      "sha256": "2eccf4021627ee59c08da3abefb55b4cda57c164d2874a96c542ca869c29b985"
     },
     {
-      "path": "data/internal_test/numina-001078-0000-f67f768fe89fdbab.parquet",
-      "sha256": "f67f768fe89fdbab0ba2e65ae2b4477d1c87236f8b031eec98287a1bc1fb68c7",
       "bytes": 103675,
+      "path": "data/internal_test/p1d/numina-001078-0000-f67f768fe89fdbab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
+      "sha256": "f67f768fe89fdbab0ba2e65ae2b4477d1c87236f8b031eec98287a1bc1fb68c7"
     }
-  ],
-  "proof_ids": [
-    "numina:44450537-c236-58d7-9a40-a1afa0c032d2",
-    "numina:711f98f2-a87c-5f00-a477-174c1674841a",
-    "numina:b97018ae-9dd1-5f78-8fef-7d136653f106",
-    "numina:c9586494-aec1-5784-a3f8-fb24d4a92656",
-    "numina:e75e5cd3-e421-520f-85f8-8ca30085a212"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005390.lean\",\"2fec31843b381f8bef4f309f7e3ed0842a5f907fc4e1143b40dac7b7a4670347\",1,\"algebra_628897\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005391.lean\",\"a9ffd71c2fee1c0a449cff753f5c996dcfd0235b1dfeb6a49ddc86bbd2af23bb\",0,\"number_theory_22865\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005392.lean\",\"61f61125e8d85ec2b758ba047276c88983f187d0bc19c4897bc44fc4daa5629f\",0,\"algebra_22534\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005393.lean\",\"db157bd5c8eb1cdcb544056dccb8676c1f6fdc1656a4b9f926c456660f558d96\",0,\"number_theory_211514\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005394.lean\",\"8d299b5edc9107700efeb6cbd4dfeaee652797a115ad21632e9f1afe3853bd23\",0,\"calculus_22045\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001079.json b/manifests/batches/numina/001079.json
index 366c6d8379f84ed941f8e2c6d230b3eb93a7cd15..9a07d8dab698201c1a4bdb2ffab2f864c0ed26e7 100644
--- a/manifests/batches/numina/001079.json
+++ b/manifests/batches/numina/001079.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001079",
   "batch_fingerprint": "d71ed0ad6e6c8a0386336702fc853f5a4fbfa0f3d3ab4c85e0d992e157596c29",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001079-0000-79f1c7ea7a376cfd.parquet",
-      "sha256": "79f1c7ea7a376cfd74f4e847649cacb4349536bb2572da12efe445b9b92fac5a",
-      "bytes": 662426,
-      "rows": 77,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/train/numina-001079-0001-5318b75d6a5e8bc1.parquet",
-      "sha256": "5318b75d6a5e8bc1f6d80cfb85d368da314215badaaa68466b631c9990e83ac6",
-      "bytes": 278610,
-      "rows": 4,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/numina-001079-0000-36658ef90302b335.parquet",
-      "sha256": "36658ef90302b335665c2e01305b6154094f47ea33381952364e7d135faba90a",
-      "bytes": 180879,
-      "rows": 60,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02af043c-0d3d-5e24-b150-9bb60919065f",
     "numina:127f6c92-fcbe-5fa2-aec2-bc9a196cf37c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005397.lean\",\"e4de589a77342fc00290ab48d37329212a234e80a27fc2ab2dd5d194f444c65d\",0,\"algebra_608880\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005398.lean\",\"18cac0c9085b509dcb8ef1cc561d321ee0ab1142b92a5f3e6a2a2efd85c76bec\",0,\"algebra_214273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005399.lean\",\"5a709f14e9b786e8bed8322ee851ef315b7de8a32ae7ce742ad02af587a2971c\",0,\"algebra_609456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662426,
+      "path": "data/train/pe7/numina-001079-0000-79f1c7ea7a376cfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 77,
+      "sha256": "79f1c7ea7a376cfd74f4e847649cacb4349536bb2572da12efe445b9b92fac5a"
+    },
+    {
+      "bytes": 278610,
+      "path": "data/train/pe7/numina-001079-0001-5318b75d6a5e8bc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5318b75d6a5e8bc1f6d80cfb85d368da314215badaaa68466b631c9990e83ac6"
+    },
+    {
+      "bytes": 180879,
+      "path": "data/internal_test/pe7/numina-001079-0000-36658ef90302b335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "36658ef90302b335665c2e01305b6154094f47ea33381952364e7d135faba90a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001080.json b/manifests/batches/numina/001080.json
index 836b906ba0a6f2153677811d11d62bb351ed836b..065c264408fcc69ea2242931c22020b2f909604c 100644
--- a/manifests/batches/numina/001080.json
+++ b/manifests/batches/numina/001080.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001080",
   "batch_fingerprint": "a033eff6e9a72951d21f891cc49088cca4de3fa336d81f489ab07b32d810ecf1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001080-0000-46c25caae141a153.parquet",
-      "sha256": "46c25caae141a153f5a865850047885cf09c2c429465e8130036c87e726f6dd8",
-      "bytes": 317692,
-      "rows": 24,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/numina-001080-0000-8a81002ab0b4f571.parquet",
-      "sha256": "8a81002ab0b4f571a4acc6fbcd1b9a696a3a444b462d31e31c48e4f16d89370e",
-      "bytes": 48883,
-      "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22afc7f7-fcba-589d-bf50-b8ce7fb7fbba",
     "numina:56d93d1a-a1ca-5208-8d4e-08c01d9938a6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005402.lean\",\"479abdde4282015cd05f701514d80664e317c9fd5c4c654fd9ac793b5b6ad212\",0,\"number_theory_608885\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005403.lean\",\"97493168fecdd8cd459a24dd26992157fee9c7040c90045630d8441aaa6a123e\",3,\"number_theory_7845\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005404.lean\",\"cb14233b9732d48ceeede00e0ce3f3e11ca752287a0dcd8530f0a2f9ccbe1115\",0,\"inequalities_208145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317692,
+      "path": "data/train/p16/numina-001080-0000-46c25caae141a153.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "46c25caae141a153f5a865850047885cf09c2c429465e8130036c87e726f6dd8"
+    },
+    {
+      "bytes": 48883,
+      "path": "data/internal_test/p16/numina-001080-0000-8a81002ab0b4f571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8a81002ab0b4f571a4acc6fbcd1b9a696a3a444b462d31e31c48e4f16d89370e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001081.json b/manifests/batches/numina/001081.json
index af8dcbc8d1818cbc60f043e25abd09a52c0adfd9..001c5bab4b73856c69695e07addc356dcfdb289c 100644
--- a/manifests/batches/numina/001081.json
+++ b/manifests/batches/numina/001081.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001081",
   "batch_fingerprint": "0238c810fc9a1b6a91e324b793965a1b483043b149a7b18d2687be175e082165",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001081-0000-9f41f8c054bc0edb.parquet",
-      "sha256": "9f41f8c054bc0edb2729acb6a0678bd28cf321e052057c1b5fdab5d1e434568a",
-      "bytes": 677490,
-      "rows": 41,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/train/numina-001081-0001-1fec92950fa744f6.parquet",
-      "sha256": "1fec92950fa744f6a01b68e661b067cdc026d30448b1bd1ff6a8af0bf3137d3f",
-      "bytes": 444840,
-      "rows": 8,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:041c60e0-1bb6-5e4b-946a-1acf18f98f7d",
     "numina:38902e28-3cc8-5f40-a032-89bdea866710",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005407.lean\",\"fae2013ef9e67cb289d02429f57328b568a663904f1b6f69a0e78cd80604c873\",0,\"number_theory_609200\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005408.lean\",\"82b38c9917d6c96263b468438834107d278baf7fd51065940e1c17bc7518e2f4\",0,\"algebra_611434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005409.lean\",\"bbcde72d211f5a3d1733354df99f29f5ea5c61484516e67f8339eb70027e5627\",1,\"number_theory_609681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 677490,
+      "path": "data/train/pde/numina-001081-0000-9f41f8c054bc0edb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "9f41f8c054bc0edb2729acb6a0678bd28cf321e052057c1b5fdab5d1e434568a"
+    },
+    {
+      "bytes": 444840,
+      "path": "data/train/pde/numina-001081-0001-1fec92950fa744f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1fec92950fa744f6a01b68e661b067cdc026d30448b1bd1ff6a8af0bf3137d3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001082.json b/manifests/batches/numina/001082.json
index 7229f44f7f8213a0384134dfa80f725412c7b85f..2131206eb682be99e06773ef5976f2b66a339c26 100644
--- a/manifests/batches/numina/001082.json
+++ b/manifests/batches/numina/001082.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001082",
   "batch_fingerprint": "9e94b2a1688aadf7fe2679406cf81a98658b0b1cbd9169e537e4e0610be38c66",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001082-0000-1a27b42d76662a1c.parquet",
-      "sha256": "1a27b42d76662a1c75c0f40bfdf25fdc2cc6785e7353f910c671eef57e55d009",
-      "bytes": 523926,
-      "rows": 17,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/dev/numina-001082-0000-f55d19e367a36383.parquet",
-      "sha256": "f55d19e367a36383a794177e242f422f0e2d9512fb2895b4b4a1a4e4bab1306b",
-      "bytes": 318092,
-      "rows": 36,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    },
-    {
-      "path": "data/internal_test/numina-001082-0000-8d91477777ee71e8.parquet",
-      "sha256": "8d91477777ee71e86e22828b2d17b5635f68415d70f481be6fd826f4cb1b2da9",
-      "bytes": 29801,
-      "rows": 1,
-      "revision": "983b92751ca1b78cb8d6c58912c26fad6e42f3fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04f53138-e1d2-5cdc-bbdd-f3fceade07be",
     "numina:3d4696f0-511e-5aa1-ab00-99397f70dec7",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005412.lean\",\"d5c767e0eb1ad474ac3a3a036a8a8e35c0c15e60d8e21a7b17f462a1e838cdf5\",0,\"number_theory_619566\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005413.lean\",\"32cdd9317a359b11a1de1348135a6b6694a58f04d6677e680ac998bf6036c6b2\",0,\"algebra_206433\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005414.lean\",\"ac4486852915fd4219a2e215ab348782ac02815f9e5458a2612767515de7ad22\",0,\"number_theory_8957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523926,
+      "path": "data/train/paf/numina-001082-0000-1a27b42d76662a1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1a27b42d76662a1c75c0f40bfdf25fdc2cc6785e7353f910c671eef57e55d009"
+    },
+    {
+      "bytes": 318092,
+      "path": "data/dev/paf/numina-001082-0000-f55d19e367a36383.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f55d19e367a36383a794177e242f422f0e2d9512fb2895b4b4a1a4e4bab1306b"
+    },
+    {
+      "bytes": 29801,
+      "path": "data/internal_test/paf/numina-001082-0000-8d91477777ee71e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8d91477777ee71e86e22828b2d17b5635f68415d70f481be6fd826f4cb1b2da9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001083.json b/manifests/batches/numina/001083.json
index d9c6a8ffa408a7cecdce74e10bbbecf2028c6a4d..a75864bb8b91dc2e4927d01b804f19dcb55daa55 100644
--- a/manifests/batches/numina/001083.json
+++ b/manifests/batches/numina/001083.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001083",
   "batch_fingerprint": "f4853393979f5b62fabd648a3e70e02018dc393d87f98e5f2786bd99eaa4ed08",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001083-0000-d0470534c134f6bf.parquet",
-      "sha256": "d0470534c134f6bf641383cc90e4d0f05eef841074ddd51e6af22c115c2de0c9",
-      "bytes": 287907,
-      "rows": 33,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    },
-    {
-      "path": "data/internal_test/numina-001083-0000-6e1ba2e1dd49d225.parquet",
-      "sha256": "6e1ba2e1dd49d225a942d5f5fe4be45a8f24f4f948dadd63ca4d203d0c3853aa",
-      "bytes": 26768,
-      "rows": 1,
-      "revision": "e8b807eb0261a6352d1003b51fbd73451e8186f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a9c055f-3e8f-5d62-af88-4507561e8d81",
     "numina:46ad9487-ce13-5719-9bd1-dd54dea849f9",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005417.lean\",\"ea016982538fbe401dcf5efa6ebfa0631a72dc298daa83501f800255c5f38267\",0,\"number_theory_609244\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005418.lean\",\"06bc8bc7584a15c2c9e6696187d9b7d16a53d843af2eeb5e6dc4671472c2075a\",0,\"algebra_23743\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005419.lean\",\"9c6ed3ece0a35a717017d1e0bc2547b5cf94f94dea244e2997c6ee82633ec737\",1,\"algebra_210421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287907,
+      "path": "data/train/p1e/numina-001083-0000-d0470534c134f6bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d0470534c134f6bf641383cc90e4d0f05eef841074ddd51e6af22c115c2de0c9"
+    },
+    {
+      "bytes": 26768,
+      "path": "data/internal_test/p1e/numina-001083-0000-6e1ba2e1dd49d225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6e1ba2e1dd49d225a942d5f5fe4be45a8f24f4f948dadd63ca4d203d0c3853aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001084.json b/manifests/batches/numina/001084.json
index 9ab6a31a6c2a3155bd7cff8904fd07d085615f7d..4ea284b535e8617368adc06f81d070fdabfa9711 100644
--- a/manifests/batches/numina/001084.json
+++ b/manifests/batches/numina/001084.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001084",
   "batch_fingerprint": "f284f954303b837204cdb8aedc7f89cc087b9f0371189f8a765d972e63f12382",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001084-0000-af239e9aba20a729.parquet",
-      "sha256": "af239e9aba20a729d46fb7a77f37e940ed74608211a0baeb82fe946daa17f4fd",
-      "bytes": 212039,
-      "rows": 23,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/numina-001084-0000-5e8c8e657a7aaa6c.parquet",
-      "sha256": "5e8c8e657a7aaa6c955346e36dbf6371a3fd1d427ef56d924ab425490ee85148",
-      "bytes": 87487,
-      "rows": 3,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7086a6f9-7bfd-5ec7-8659-d4a3f0eca375",
     "numina:b79cccd1-5044-57cb-a21b-8085f1136537",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005422.lean\",\"8525f60517abf95e7dd7e5327135a2a155b8d06ae40269a6423d51a9f34b4118\",0,\"algebra_200004\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005423.lean\",\"0782c60f3eaf6153c695b9675ed2081f1bb775649f433104ef65f4c852c27986\",0,\"algebra_206233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005424.lean\",\"01e2444e34cbca7f38b58fe82ab928722eb7a9388f1a9a6e32d15112bb89b04f\",0,\"number_theory_609825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212039,
+      "path": "data/train/pe2/numina-001084-0000-af239e9aba20a729.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "af239e9aba20a729d46fb7a77f37e940ed74608211a0baeb82fe946daa17f4fd"
+    },
+    {
+      "bytes": 87487,
+      "path": "data/internal_test/pe2/numina-001084-0000-5e8c8e657a7aaa6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5e8c8e657a7aaa6c955346e36dbf6371a3fd1d427ef56d924ab425490ee85148"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001085.json b/manifests/batches/numina/001085.json
index 5860e47920432af195682f699a4e2b8c01e0c067..0c503ab6fc53fcf0579519bd00e5cad69968d485 100644
--- a/manifests/batches/numina/001085.json
+++ b/manifests/batches/numina/001085.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001085",
   "batch_fingerprint": "44ae6b6f1787c4e07fbb10e6cfb517eb77e0d54431601ac2aa4a2c33b0d4684b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001085-0000-6f931f959be8a087.parquet",
-      "sha256": "6f931f959be8a0876c0df3a20c1c002dbf64067ddb13a18500f0907afaa12174",
-      "bytes": 658996,
-      "rows": 45,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/train/numina-001085-0001-dfecca8ce07227bf.parquet",
-      "sha256": "dfecca8ce07227bf9d792fc680f26bd91490be01961760ccb2300f95776c7013",
-      "bytes": 339184,
-      "rows": 43,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05e64558-b045-555a-8af1-68a421489d5e",
     "numina:4a7d13e3-53bd-555b-b3dd-c3fece1bf0eb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005427.lean\",\"95b00b446ec59e37063569023ab3fbbbd37b57a85000c6b0611449248313eb2f\",0,\"algebra_610096\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005428.lean\",\"67f6dfb946426028ec304a0a7b573fe9b6a9ecce54185cfe49171810f3698b72\",0,\"number_theory_212714\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005429.lean\",\"8603d6b0bfe40a2ccbaa8691e88b1b03cae666baec970cd135f1bc0ac8736490\",0,\"algebra_609823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 658996,
+      "path": "data/train/p1e/numina-001085-0000-6f931f959be8a087.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "6f931f959be8a0876c0df3a20c1c002dbf64067ddb13a18500f0907afaa12174"
+    },
+    {
+      "bytes": 339184,
+      "path": "data/train/p1e/numina-001085-0001-dfecca8ce07227bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "dfecca8ce07227bf9d792fc680f26bd91490be01961760ccb2300f95776c7013"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001086.json b/manifests/batches/numina/001086.json
index 6386ca1fa04ae47dd0bb0801f0536bf0e2733427..ff7a49b881f307a84fe9b0565ff0d58681e34b27 100644
--- a/manifests/batches/numina/001086.json
+++ b/manifests/batches/numina/001086.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001086",
   "batch_fingerprint": "7ae2835afe740089719031e49640e013c901deee3fca0fffae7af5169a61bd87",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2fba10ea-238d-59f7-b3eb-c9a591ed102e",
+    "numina:393d016a-7746-5a26-80e4-e14ed2f0da0a",
+    "numina:4939de0f-ec2c-502b-b4f4-756db540795e",
+    "numina:53dc3078-90e9-5694-844c-060e0f8603dc",
+    "numina:edb8313a-5d57-564c-9938-d5cfdfd151e9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005430.lean\",\"ae726a56af65d6c279927a7fbab33a045ed3f291ed3770a5da87666867cb9524\",0,\"algebra_609947\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005431.lean\",\"a6eb25bb297cdbee998296c93882c2a6124a3820f9fa667eb4ec521d02e72f5b\",1,\"number_theory_214653\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005432.lean\",\"b6af641bf1d829b815d963fc2a9e8ccf4610d71702b07ae4cd6b1a4c3be5fff5\",1,\"algebra_610663\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005433.lean\",\"81df8db0ba0b1b92cacd22967be4eb81e62250b4d6f28e557f482a37fc5ae1dd\",0,\"number_theory_611141\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005434.lean\",\"c0c3e0727c869f586676ddde308564512ab6cdb554df4cd2fe5e583ea5932604\",0,\"number_theory_239374\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001086-0000-206af84f4db7e622.parquet",
-      "sha256": "206af84f4db7e622435fa273391e7910bb6d5c1eda412376c7f4721bbd12fc57",
       "bytes": 1259394,
+      "path": "data/train/pc5/numina-001086-0000-206af84f4db7e622.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "206af84f4db7e622435fa273391e7910bb6d5c1eda412376c7f4721bbd12fc57"
     },
     {
-      "path": "data/train/numina-001086-0001-6158c4f88594ff41.parquet",
-      "sha256": "6158c4f88594ff416da380e0caf541b7435ad4765a6c8f925380d50964601870",
       "bytes": 428253,
+      "path": "data/train/pc5/numina-001086-0001-6158c4f88594ff41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "6158c4f88594ff416da380e0caf541b7435ad4765a6c8f925380d50964601870"
     },
     {
-      "path": "data/train/numina-001086-0002-8d20f7333a9cd3d6.parquet",
-      "sha256": "8d20f7333a9cd3d665475663bfedb865ca080a7325af67c48ffafcde3433707b",
       "bytes": 298181,
+      "path": "data/train/pc5/numina-001086-0002-8d20f7333a9cd3d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "8d20f7333a9cd3d665475663bfedb865ca080a7325af67c48ffafcde3433707b"
     },
     {
-      "path": "data/internal_test/numina-001086-0000-2d1fec1b856519cc.parquet",
-      "sha256": "2d1fec1b856519cc51cd85571578dfabdf37c33a59f51cb9d29c49aa98ebc447",
       "bytes": 58066,
+      "path": "data/internal_test/pc5/numina-001086-0000-2d1fec1b856519cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "2d1fec1b856519cc51cd85571578dfabdf37c33a59f51cb9d29c49aa98ebc447"
     }
-  ],
-  "proof_ids": [
-    "numina:2fba10ea-238d-59f7-b3eb-c9a591ed102e",
-    "numina:393d016a-7746-5a26-80e4-e14ed2f0da0a",
-    "numina:4939de0f-ec2c-502b-b4f4-756db540795e",
-    "numina:53dc3078-90e9-5694-844c-060e0f8603dc",
-    "numina:edb8313a-5d57-564c-9938-d5cfdfd151e9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005430.lean\",\"ae726a56af65d6c279927a7fbab33a045ed3f291ed3770a5da87666867cb9524\",0,\"algebra_609947\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005431.lean\",\"a6eb25bb297cdbee998296c93882c2a6124a3820f9fa667eb4ec521d02e72f5b\",1,\"number_theory_214653\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005432.lean\",\"b6af641bf1d829b815d963fc2a9e8ccf4610d71702b07ae4cd6b1a4c3be5fff5\",1,\"algebra_610663\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005433.lean\",\"81df8db0ba0b1b92cacd22967be4eb81e62250b4d6f28e557f482a37fc5ae1dd\",0,\"number_theory_611141\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005434.lean\",\"c0c3e0727c869f586676ddde308564512ab6cdb554df4cd2fe5e583ea5932604\",0,\"number_theory_239374\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001087.json b/manifests/batches/numina/001087.json
index 837fb2fdd90971159bcb73788352a2aa069d9105..a8154c0aafbd402164c474b83a3ae43c01b3e566 100644
--- a/manifests/batches/numina/001087.json
+++ b/manifests/batches/numina/001087.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001087",
   "batch_fingerprint": "a801d834e99521900725e9fde9145405f73a522b2ced804926b738e4f9bb940a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001087-0000-7aabd7d6e190933c.parquet",
-      "sha256": "7aabd7d6e190933c835cf6d3bceca1e669eb3aebaeacd0bd3cc56465b95d281e",
-      "bytes": 681611,
-      "rows": 42,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5161f1eb-a42b-5f0e-8d08-55cbf20d4e2c",
     "numina:53de3d0b-a67a-51e7-bad2-fb1f79e80dd1",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005437.lean\",\"dc0ca03ecb93b3e37a46473e0499b86fb28ee3cc0e341ed7779d7738ecf28d9a\",0,\"number_theory_215307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005438.lean\",\"19cfa12e6c2d58ca7deb354071f2d0ef59abd076efab740d2cc3ec678c07f175\",0,\"number_theory_600123\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005439.lean\",\"b2742f639d7156a2447555ecd457fa75b0b54b31040fcf97fe2410c16b192595\",0,\"number_theory_610552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 681611,
+      "path": "data/train/p0e/numina-001087-0000-7aabd7d6e190933c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "7aabd7d6e190933c835cf6d3bceca1e669eb3aebaeacd0bd3cc56465b95d281e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001088.json b/manifests/batches/numina/001088.json
index 9050e9a12448e63d242ef2dc9cadf6cc0210901c..ed12656350628f621d602f2876ddd2b23509eebb 100644
--- a/manifests/batches/numina/001088.json
+++ b/manifests/batches/numina/001088.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001088",
   "batch_fingerprint": "9bb116d660c4a35a2e80a51ea3e929210f67b34a46c12ac9a2adb8c6690b9e72",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001088-0000-1a996a92a8914e81.parquet",
-      "sha256": "1a996a92a8914e817922ac413384dbc000618abc830c734272589fcf5d593a81",
-      "bytes": 257982,
-      "rows": 17,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    },
-    {
-      "path": "data/internal_test/numina-001088-0000-2aea47aa0e8df30c.parquet",
-      "sha256": "2aea47aa0e8df30c8daedeeda6372d6e018de83353cfc83bcb7fdcab8fca3255",
-      "bytes": 60856,
-      "rows": 3,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10711b3a-1e74-5690-9e8c-08ceaba9992a",
     "numina:17a4d7d8-c9ce-5384-a52a-a95094f48dbc",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005442.lean\",\"13c998362f0879206f164f0fc134e681567a7add37bb9fce680b0b2c07ddd887\",1,\"intermediate_algebra_4098\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005443.lean\",\"023df82c767f5bfa56c86ca617868d38275e538373bbde221af47565229cff90\",1,\"algebra_616488\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005444.lean\",\"c8156b5f61d980a959dcf16765a1ff5bc096ced6e0aa14e1f3d1e28e5565617e\",0,\"number_theory_8605\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257982,
+      "path": "data/train/pd7/numina-001088-0000-1a996a92a8914e81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1a996a92a8914e817922ac413384dbc000618abc830c734272589fcf5d593a81"
+    },
+    {
+      "bytes": 60856,
+      "path": "data/internal_test/pd7/numina-001088-0000-2aea47aa0e8df30c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2aea47aa0e8df30c8daedeeda6372d6e018de83353cfc83bcb7fdcab8fca3255"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001089.json b/manifests/batches/numina/001089.json
index 9f93318fd7fb6f96816f06a34a8bdebe49110caa..ec975f29674b79601440ab0fb537fef11fdf1634 100644
--- a/manifests/batches/numina/001089.json
+++ b/manifests/batches/numina/001089.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001089",
   "batch_fingerprint": "150ca6a4b13a32dcc1815698a79029c2d61b6322b933a25dcaedad06fed46bce",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001089-0000-2f91d71d20608f5f.parquet",
-      "sha256": "2f91d71d20608f5fef38b87713752bff7172e250909c7790748b3fcf6a2f711a",
-      "bytes": 214918,
-      "rows": 18,
-      "revision": "63adcc429b90e9d43a67af05d792ab72be802a0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12664de2-6cd8-5639-b6da-39df96e0876f",
     "numina:63c273b5-b5b7-5d1a-98c7-608d596c59e8",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005446.lean\",\"5a7953f17d174b71f46eb876e162d73649a4c483b16702f45ea417353e3bf9ad\",0,\"number_theory_5009\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005447.lean\",\"209e9d77e84a360fd512a285e76f7a06eb42a4f98e52197ea64e769c9c7b72b8\",1,\"number_theory_618551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005448.lean\",\"d6785172a8cf5aa6c161a48b41c2cf8dd4dd414081feaa750f0c0d325e194870\",2,\"algebra_271509\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214918,
+      "path": "data/train/pbd/numina-001089-0000-2f91d71d20608f5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2f91d71d20608f5fef38b87713752bff7172e250909c7790748b3fcf6a2f711a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001090.json b/manifests/batches/numina/001090.json
index 90540f1c999bc250e46b691e7ab4ed42c076702e..2d7bdfe3431a15184200a542eed6362d51de3797 100644
--- a/manifests/batches/numina/001090.json
+++ b/manifests/batches/numina/001090.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001090",
   "batch_fingerprint": "b598b5af5205c3a3cd2b001b296e03602849ecefb21819629aadbebb31de736c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001090-0000-dffcf4814ff53579.parquet",
-      "sha256": "dffcf4814ff5357996daba80f902affe5a3aea248b7c26de037ee15f0ec16377",
-      "bytes": 286110,
-      "rows": 16,
-      "revision": "e4e2f7af3f866b890fc78ec4b8cfdc22253ed7f7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e0bdcfc-dd09-59e1-86ef-879add967a62",
     "numina:5663d714-f81a-5be9-a30f-ff692d15fcc1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005452.lean\",\"3c0238fc0eb10aa0e3a09a4532dbfcdbc109d2a00c496dd533fc7157512ec0d3\",0,\"number_theory_7986\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005453.lean\",\"162b0d71923a63f6948e5e87865126d28d00d80d40729b095cedf450cf768956\",0,\"algebra_27\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005454.lean\",\"7163fbb6ee733474202576babd76487ca00c87defef9e7cc69dd1b09cd272f35\",0,\"number_theory_4466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286110,
+      "path": "data/train/p0e/numina-001090-0000-dffcf4814ff53579.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "dffcf4814ff5357996daba80f902affe5a3aea248b7c26de037ee15f0ec16377"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001091.json b/manifests/batches/numina/001091.json
index a6374133aae12102c3c72da69c951766521fb103..810dfc9c1c55a385b654e09b15c1e0bc23c8a2b0 100644
--- a/manifests/batches/numina/001091.json
+++ b/manifests/batches/numina/001091.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001091",
   "batch_fingerprint": "a5b9e6dac4f9da2a34582e26bdc221444fbe8beac56ea975ca24220191535365",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0d035f62-9418-55f8-97dd-91a5f9fea544",
+    "numina:3a0cfd4a-5961-5097-93f9-17ec491edefd",
+    "numina:53c93f80-934a-5fb7-a103-6f8260f5edf3",
+    "numina:838494bd-9149-52c1-8fb3-1060493d47d9",
+    "numina:f3da2dcd-75fc-5815-a885-50b688424864"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005455.lean\",\"94a95e46be1b1922073665e1147786610205d3f00b17b26cdbfb9dda1ba9b305\",0,\"algebra_610806\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005456.lean\",\"23982d83e0e7bccbdd286c8976d399020d1d41c8758d797b40c558fba35eb05c\",0,\"number_theory_7857\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005457.lean\",\"7beb515a2f63196f38994801e78f2598381618a0d26c5119c20d6cb2c7cf928b\",0,\"algebra_610453\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005458.lean\",\"1bc8400701662a4d51043f704dce8e54aef471c8270371d4a4cfe3df14cc2950\",0,\"number_theory_5849\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005459.lean\",\"137f5d59a187481043e9cda393dc00fa75315bb19265c0c66cc6120c707eeabf\",0,\"algebra_227400\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001091-0000-d7e80cf197e14000.parquet",
-      "sha256": "d7e80cf197e140002f22ca680772c5b84c882acf9911d33fa0f474d0e62eaced",
       "bytes": 287948,
+      "path": "data/train/pef/numina-001091-0000-d7e80cf197e14000.parquet",
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       "rows": 38,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "d7e80cf197e140002f22ca680772c5b84c882acf9911d33fa0f474d0e62eaced"
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-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "cc696cb80441db45d17b8686d8fa27e39eafbc665585a707a4f7aadfdf23ecf3"
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     {
-      "path": "data/train/numina-001091-0002-ad0e0efda6578176.parquet",
-      "sha256": "ad0e0efda6578176c97f4e61663a99a3e78b22253760005d51773cb4e5ded42d",
       "bytes": 107073,
+      "path": "data/train/pef/numina-001091-0002-ad0e0efda6578176.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "ad0e0efda6578176c97f4e61663a99a3e78b22253760005d51773cb4e5ded42d"
     },
     {
-      "path": "data/dev/numina-001091-0000-936c8a3f7cf1e044.parquet",
-      "sha256": "936c8a3f7cf1e044d9476c900135044e6f9e0ebf8656993f03d64979194b790b",
       "bytes": 33521,
+      "path": "data/dev/pef/numina-001091-0000-936c8a3f7cf1e044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "936c8a3f7cf1e044d9476c900135044e6f9e0ebf8656993f03d64979194b790b"
     },
     {
-      "path": "data/internal_test/numina-001091-0000-77cb58ef1c849882.parquet",
-      "sha256": "77cb58ef1c849882f8c777be3f70f81a197d48338867b53675505ae228488915",
       "bytes": 153821,
+      "path": "data/internal_test/pef/numina-001091-0000-77cb58ef1c849882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1b9c03dffb83c43f366df9a1ed458ad7ef6f28cc"
+      "sha256": "77cb58ef1c849882f8c777be3f70f81a197d48338867b53675505ae228488915"
     }
-  ],
-  "proof_ids": [
-    "numina:0d035f62-9418-55f8-97dd-91a5f9fea544",
-    "numina:3a0cfd4a-5961-5097-93f9-17ec491edefd",
-    "numina:53c93f80-934a-5fb7-a103-6f8260f5edf3",
-    "numina:838494bd-9149-52c1-8fb3-1060493d47d9",
-    "numina:f3da2dcd-75fc-5815-a885-50b688424864"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005455.lean\",\"94a95e46be1b1922073665e1147786610205d3f00b17b26cdbfb9dda1ba9b305\",0,\"algebra_610806\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005456.lean\",\"23982d83e0e7bccbdd286c8976d399020d1d41c8758d797b40c558fba35eb05c\",0,\"number_theory_7857\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005457.lean\",\"7beb515a2f63196f38994801e78f2598381618a0d26c5119c20d6cb2c7cf928b\",0,\"algebra_610453\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005458.lean\",\"1bc8400701662a4d51043f704dce8e54aef471c8270371d4a4cfe3df14cc2950\",0,\"number_theory_5849\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005459.lean\",\"137f5d59a187481043e9cda393dc00fa75315bb19265c0c66cc6120c707eeabf\",0,\"algebra_227400\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001092.json b/manifests/batches/numina/001092.json
index d3e2bdb8a4347b98987789f34efc4e6fc3a4bc7b..acb46c9e8f3dcd18971574a7cde8a94a340d321e 100644
--- a/manifests/batches/numina/001092.json
+++ b/manifests/batches/numina/001092.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001092",
   "batch_fingerprint": "8e66dbd45502bd84d0aa60249536c6fc450394c31f55e7a11edefa47b2b6108d",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:07a8cc19-1880-5668-ae99-9a5541148410",
+    "numina:0e402c49-302b-56d6-8ce2-492fdd74e5ac",
+    "numina:52fbf0bc-8170-5227-906c-452703ec78a4",
+    "numina:5b59bc50-d4a2-5679-8adc-74d1e5e5152c",
+    "numina:76e7d842-2c09-54eb-a189-74cf6b6f9093"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005460.lean\",\"a5e65ee5edc696f68c8b48bcfab7c08adb42ed7ddc4e6b4cb19fd3f7834b3a7f\",0,\"algebra_1610\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005461.lean\",\"30ca36ae657cc073a77896975bdfe05269f9051fdfc001ea06d00295aecf0225\",0,\"algebra_239112\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005462.lean\",\"9fa3c7953cf62620be54ed5f33914240a96083d25ac0d4c4cb2c6e284c18508f\",0,\"algebra_611496\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005463.lean\",\"53a5fec3ece327b08d195416b0ebf222b4c84198ac25026c62729b35240dd819\",0,\"algebra_219645\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005464.lean\",\"d4c6d18f2dd0d589d6a2641a7dfc930cdbf9c2604492ce986e5ef034e7d1d63d\",0,\"Algebra_611498\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001092-0000-0c3d3c7d2eb66b0f.parquet",
-      "sha256": "0c3d3c7d2eb66b0f6ce94020b786424367997e558430bbf8e5fdf71ad25029c7",
       "bytes": 599617,
+      "path": "data/train/p6a/numina-001092-0000-0c3d3c7d2eb66b0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 37,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
+      "sha256": "0c3d3c7d2eb66b0f6ce94020b786424367997e558430bbf8e5fdf71ad25029c7"
     },
     {
-      "path": "data/train/numina-001092-0001-b9f57c6fc4ad1a20.parquet",
-      "sha256": "b9f57c6fc4ad1a205345cb67a47bc2de0f0aaa0c261e204a02609f7df7a8c217",
       "bytes": 662795,
+      "path": "data/train/p6a/numina-001092-0001-b9f57c6fc4ad1a20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
+      "sha256": "b9f57c6fc4ad1a205345cb67a47bc2de0f0aaa0c261e204a02609f7df7a8c217"
     },
     {
-      "path": "data/internal_test/numina-001092-0000-f0f7be25ddbd1cc9.parquet",
-      "sha256": "f0f7be25ddbd1cc9a7aabc65fffec3854d437e045bebb195afb2836fb06533fa",
       "bytes": 591562,
+      "path": "data/internal_test/p6a/numina-001092-0000-f0f7be25ddbd1cc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
+      "sha256": "f0f7be25ddbd1cc9a7aabc65fffec3854d437e045bebb195afb2836fb06533fa"
     },
     {
-      "path": "data/internal_test/numina-001092-0001-0ee6afa6437ea448.parquet",
-      "sha256": "0ee6afa6437ea4487e3311430acd002478f921a51bfdbf1210fe2e1b5dbe5bdc",
       "bytes": 254778,
+      "path": "data/internal_test/p6a/numina-001092-0001-0ee6afa6437ea448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
+      "sha256": "0ee6afa6437ea4487e3311430acd002478f921a51bfdbf1210fe2e1b5dbe5bdc"
     }
-  ],
-  "proof_ids": [
-    "numina:07a8cc19-1880-5668-ae99-9a5541148410",
-    "numina:0e402c49-302b-56d6-8ce2-492fdd74e5ac",
-    "numina:52fbf0bc-8170-5227-906c-452703ec78a4",
-    "numina:5b59bc50-d4a2-5679-8adc-74d1e5e5152c",
-    "numina:76e7d842-2c09-54eb-a189-74cf6b6f9093"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005460.lean\",\"a5e65ee5edc696f68c8b48bcfab7c08adb42ed7ddc4e6b4cb19fd3f7834b3a7f\",0,\"algebra_1610\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005461.lean\",\"30ca36ae657cc073a77896975bdfe05269f9051fdfc001ea06d00295aecf0225\",0,\"algebra_239112\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005462.lean\",\"9fa3c7953cf62620be54ed5f33914240a96083d25ac0d4c4cb2c6e284c18508f\",0,\"algebra_611496\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005463.lean\",\"53a5fec3ece327b08d195416b0ebf222b4c84198ac25026c62729b35240dd819\",0,\"algebra_219645\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005464.lean\",\"d4c6d18f2dd0d589d6a2641a7dfc930cdbf9c2604492ce986e5ef034e7d1d63d\",0,\"Algebra_611498\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001093.json b/manifests/batches/numina/001093.json
index 15be49608d5dd03d80eb08cf20da40c053396374..431b76a76bc24ead5c3b73ba31ac14a816337d67 100644
--- a/manifests/batches/numina/001093.json
+++ b/manifests/batches/numina/001093.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001093",
   "batch_fingerprint": "7ad032bc323acbb997cbf66781244cfc8c11e10d6054c9fe1ab8739479fe40c6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001093-0000-70fbaacba66faaaf.parquet",
-      "sha256": "70fbaacba66faaafa8a79df2b3823b001b9458166579b344bb924a61f688847b",
-      "bytes": 240600,
-      "rows": 33,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ece0bd0-7b91-5bea-8e9a-6a1f1617fb57",
     "numina:6338629c-6480-5288-827f-4fcfc3f09784",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005467.lean\",\"5152d070f60842f95ecf2f4b8b75405ba5dd64199efb80e9c6a2990d42e988c7\",0,\"algebra_94321\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005468.lean\",\"e0af11fa40d00d1e0455ea73bbf98d8b23ed81e4ab13ec2af38a0f4b50c6d61b\",0,\"inequalities_220668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005469.lean\",\"ab57c1ee3a167e7307ba33ef73308d4af61a7e38ba4a4feff5c900e2100c4a2d\",0,\"algebra_9189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240600,
+      "path": "data/train/p45/numina-001093-0000-70fbaacba66faaaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "70fbaacba66faaafa8a79df2b3823b001b9458166579b344bb924a61f688847b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001094.json b/manifests/batches/numina/001094.json
index 8f68cf4c7bb18b96562eb7366f3596309e300b73..d9f8b8a4cf75b5a7a573aad46c65aa1d3241f0a5 100644
--- a/manifests/batches/numina/001094.json
+++ b/manifests/batches/numina/001094.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001094",
   "batch_fingerprint": "a54e380f2e116fa8361122ea2d21930decdff570710957161baa10941b8efdd0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001094-0000-5201d33451750e69.parquet",
-      "sha256": "5201d33451750e69c715ae0290eb23f71de2f2dd64713242f03aafd28c7a8f82",
-      "bytes": 271614,
-      "rows": 20,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/numina-001094-0000-57bdff8d2d5cd119.parquet",
-      "sha256": "57bdff8d2d5cd119173747f9a825cab5e8b535686b3348f4d90ee1012f59aaa1",
-      "bytes": 173146,
-      "rows": 8,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06fcc9a3-b6cc-5e46-9c77-99e3a9ff1d58",
     "numina:10a4b6cd-cf7e-55c8-ac4c-c9785045c01c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005472.lean\",\"7dfcb0ce485d2151dd9c43c5b2bdfd04b211ebb01d2ff7bfda01cc150f43da23\",1,\"number_theory_232259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005473.lean\",\"4415049908639d2a9baa8bef87869effc505a2ec2686ce1acc14979df43f82de\",0,\"algebra_8983\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005474.lean\",\"2d7a402326cd768cec687d1598c00ed73a77aec4fd9740b3db561f5f0346a64e\",0,\"algebra_93937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271614,
+      "path": "data/train/p2c/numina-001094-0000-5201d33451750e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5201d33451750e69c715ae0290eb23f71de2f2dd64713242f03aafd28c7a8f82"
+    },
+    {
+      "bytes": 173146,
+      "path": "data/internal_test/p2c/numina-001094-0000-57bdff8d2d5cd119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "57bdff8d2d5cd119173747f9a825cab5e8b535686b3348f4d90ee1012f59aaa1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001095.json b/manifests/batches/numina/001095.json
index 78239adb8be414330f65b62ed2de7a616893e1dd..1298ae97e8702c5ad30f478dce6a91ea015a3588 100644
--- a/manifests/batches/numina/001095.json
+++ b/manifests/batches/numina/001095.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001095",
   "batch_fingerprint": "f05274b936e174cd56c27c18a3ebd93c38e8aed7f92b9784abde4242cc75189a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001095-0000-8ed82468720d70e3.parquet",
-      "sha256": "8ed82468720d70e3eb76be8a2604cec19b020841867870b47b8c910f74303627",
-      "bytes": 192576,
-      "rows": 23,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:214b0001-88b0-54c0-9b6a-81491a0dcea2",
     "numina:62c0890c-9f9e-55da-abc8-7c960c703411",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005477.lean\",\"227c5ce9b958f2413a1c80cc357342c69673a7a96a6607e749c6e73fa97f1616\",0,\"algebra_9213\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005478.lean\",\"64ecce6bb6249511783037db22fb2d5cc6b81b5b6c2c25aefba4053c975dfc70\",0,\"algebra_94787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005479.lean\",\"e7a0e1fa50d2cb350f40f2f27e8e44609b50f31b4315ed2c3124489f5d258488\",0,\"number_theory_610514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192576,
+      "path": "data/train/pd5/numina-001095-0000-8ed82468720d70e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8ed82468720d70e3eb76be8a2604cec19b020841867870b47b8c910f74303627"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001096.json b/manifests/batches/numina/001096.json
index 4362f5aec9bb1f424cb57e260e826c6ae74bc5cd..0eac88e7d0049e410650cf1db69132f73c26331f 100644
--- a/manifests/batches/numina/001096.json
+++ b/manifests/batches/numina/001096.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001096",
   "batch_fingerprint": "3d92aea2dcb0a7b6be2f6b97e4597d9cb15a308fc8e207608c6c4892f6e4f110",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001096-0000-31a5f656448d09d5.parquet",
-      "sha256": "31a5f656448d09d50de7f5675152cc8451a5b31b8077a38b81e2540fc128b76a",
-      "bytes": 474149,
-      "rows": 94,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:81cae1de-8511-5b44-98c1-665de43669f1",
     "numina:84b213ef-7762-51b2-94a9-3a77c66b1cee",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005482.lean\",\"39e182a945f3820bcbb3ed7eff90ef1a06982c2f3a8e4e2a8d8c3971d1c6419b\",0,\"number_theory_120642\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005483.lean\",\"7e1a6ecfd89c53e6ef12e1961a4baf4b219f76cf29e8e46fe9799842338f4d96\",0,\"algebra_610521\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005484.lean\",\"381507a5354e9971eeab06034bf51ad4fe9169899ea22e9ff4cd42d7db3aba12\",0,\"inequalities_227706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 474149,
+      "path": "data/train/p60/numina-001096-0000-31a5f656448d09d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "31a5f656448d09d50de7f5675152cc8451a5b31b8077a38b81e2540fc128b76a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001097.json b/manifests/batches/numina/001097.json
index 8d12a793565745d88879dfc535ef0d6c49f26e47..efa3bac4ee1ce07bf7539fdea3f162143bb9b680 100644
--- a/manifests/batches/numina/001097.json
+++ b/manifests/batches/numina/001097.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001097",
   "batch_fingerprint": "b3a222dfb1d1063cc445444ae6e6961cbaab268f872c333d8b44babe51ed4276",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001097-0000-45a3682ce8edcad9.parquet",
-      "sha256": "45a3682ce8edcad9a6bb435b2c51747bae01dc15c2afc81f276d1907f2701b00",
-      "bytes": 230146,
-      "rows": 35,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a73de42-0833-5e8a-a22a-7418b1de4d2b",
     "numina:6d1978c5-debc-52a3-8663-e9d9ded14b60",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005487.lean\",\"7021eec9a7b54adc57d3057cba9f399c268da8499114e29fc51895a6118d692b\",2,\"algebra_120738_3\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005488.lean\",\"a2f3e93bcc1ada2d5b2cf1874e132f3f33422283526c180d796227171df0792d\",0,\"algebra_94939\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005489.lean\",\"1c3ead053df43cf6852d96fa58c523095e9826a53a04240bc49f32289d9dc50c\",0,\"algebra_220023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230146,
+      "path": "data/train/p51/numina-001097-0000-45a3682ce8edcad9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "45a3682ce8edcad9a6bb435b2c51747bae01dc15c2afc81f276d1907f2701b00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001098.json b/manifests/batches/numina/001098.json
index 2bc57d982b92112e68032a453f34b8bbf533d0e8..50b41a8b9262ebedf9a07c9eb1fe31bc3d619de0 100644
--- a/manifests/batches/numina/001098.json
+++ b/manifests/batches/numina/001098.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001098",
   "batch_fingerprint": "a523e02a9af0dd43359902bf3eda18f49abefcafc0111df714b589088b5a3887",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001098-0000-9e304e2fbca4fd1d.parquet",
-      "sha256": "9e304e2fbca4fd1d44889bbf5de30afef2033f639f54f1cdc60df934570b376a",
-      "bytes": 44037,
-      "rows": 9,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/dev/numina-001098-0000-49b04345db42291f.parquet",
-      "sha256": "49b04345db42291fe3ed5575f7593798e5f07a94e2bc0bbc21cce3cefe7d2cf8",
-      "bytes": 268277,
-      "rows": 31,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    },
-    {
-      "path": "data/internal_test/numina-001098-0000-5abd65cdfd2d679c.parquet",
-      "sha256": "5abd65cdfd2d679cd312d33321754139bbfb4870ebb5a17b614e33c14cbae7d0",
-      "bytes": 25478,
-      "rows": 1,
-      "revision": "167ccdfc2ce698fc22abb716db982f1415d92638"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f444f63-68ad-52a8-9d67-c6dd89297525",
     "numina:75ed0ce3-e278-5790-a83e-8a83ff646d03",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005492.lean\",\"af5807ba195772245fb19a107c10c22ce898b88db71f8960fe62ef49191aae31\",0,\"number_theory_107999\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005493.lean\",\"c55df29fb1427ea08557566a027481d5b5bd34c28bcae421cbe68a9dff2de642\",0,\"algebra_11204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005494.lean\",\"be3aeb83b15db6e5703923a765fb494db9268c3e40feca147998fecfdb0e503a\",2,\"inequalities_108074\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 44037,
+      "path": "data/train/pb1/numina-001098-0000-9e304e2fbca4fd1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9e304e2fbca4fd1d44889bbf5de30afef2033f639f54f1cdc60df934570b376a"
+    },
+    {
+      "bytes": 268277,
+      "path": "data/dev/pb1/numina-001098-0000-49b04345db42291f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "49b04345db42291fe3ed5575f7593798e5f07a94e2bc0bbc21cce3cefe7d2cf8"
+    },
+    {
+      "bytes": 25478,
+      "path": "data/internal_test/pb1/numina-001098-0000-5abd65cdfd2d679c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5abd65cdfd2d679cd312d33321754139bbfb4870ebb5a17b614e33c14cbae7d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001099.json b/manifests/batches/numina/001099.json
index 55bf581c07ae9805bc69f9f9a40e743755b91843..fc700bd059158f4da0faab795372702ab02aa237 100644
--- a/manifests/batches/numina/001099.json
+++ b/manifests/batches/numina/001099.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001099",
   "batch_fingerprint": "4a12161b3897e858d63544fde4e15404a627bd46e26d0e10ce7d64162432c85f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001099-0000-49076bbe34900856.parquet",
-      "sha256": "49076bbe34900856763adddbe94d55c76b91d832ef03bb7e116aa6d4b930a008",
-      "bytes": 412397,
-      "rows": 29,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/train/numina-001099-0001-c456f4f28e9aeb5c.parquet",
-      "sha256": "c456f4f28e9aeb5c14fcd8d91c43276fd6f002735f4f73a425b5e54c5f3c05a5",
-      "bytes": 615296,
-      "rows": 8,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    },
-    {
-      "path": "data/internal_test/numina-001099-0000-f3f60b9b73e73c64.parquet",
-      "sha256": "f3f60b9b73e73c64243848b9a6652253d166c0a723ddd7c20b21fcfffde131fb",
-      "bytes": 340398,
-      "rows": 13,
-      "revision": "32c54e8fc59250fc38899bd7fcb6e98cffb17564"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ed4c742-12cf-52a4-9a4e-636e5febbf85",
     "numina:bb57f997-b598-5465-8d3c-4f03ceb1fd69",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005497.lean\",\"7cecf532d2086e63af49b114eac0e3400677f36e7276ca94e807efe203bb6c8d\",0,\"number_theory_16337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005498.lean\",\"86b04ef7bf9951519d4ee87b315fdc3310951408e96b64b0f777173b87d62404\",0,\"algebra_123889\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005499.lean\",\"edf3a2f3b658cb44b1353e18edd2b1b70da0338e1946ab84c19b136f310b14ff\",0,\"algebra_216592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412397,
+      "path": "data/train/p82/numina-001099-0000-49076bbe34900856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "49076bbe34900856763adddbe94d55c76b91d832ef03bb7e116aa6d4b930a008"
+    },
+    {
+      "bytes": 615296,
+      "path": "data/train/p82/numina-001099-0001-c456f4f28e9aeb5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c456f4f28e9aeb5c14fcd8d91c43276fd6f002735f4f73a425b5e54c5f3c05a5"
+    },
+    {
+      "bytes": 340398,
+      "path": "data/internal_test/p82/numina-001099-0000-f3f60b9b73e73c64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f3f60b9b73e73c64243848b9a6652253d166c0a723ddd7c20b21fcfffde131fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001100.json b/manifests/batches/numina/001100.json
index 1f8c325c347cba6ee2a17d414308b00af3595ab4..840fb5ae62c555cb9590a73eb40abb1868ac8af4 100644
--- a/manifests/batches/numina/001100.json
+++ b/manifests/batches/numina/001100.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001100",
   "batch_fingerprint": "b1b8773e2598a593fb24e94916597dfcd5eedd511d2d964f9d48c97ddda545a6",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2ab9f517-a869-56d0-a3ab-e2167132fbcd",
+    "numina:63c83791-7459-5993-bca3-0131fabb036b",
+    "numina:73fa1073-4367-51e5-8103-d2c91f075761",
+    "numina:7f2130a9-6889-5233-9834-27a94be0f171",
+    "numina:802e1967-05aa-54ab-b313-399295ba8ada"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005500.lean\",\"f12721b5e85b8c329fe9cf3b2e4e34cc9772c4c3d49a542c05dfbf931bc49b33\",0,\"algebra_12792\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005501.lean\",\"fa767ae1001ccfda244523eead7eb4026e4a15c0259aac31f9df43566c6edf08\",0,\"inequalities_223970\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005502.lean\",\"0584c099f26ede983c215c761907106ed9b7ff6a7fe5008cff7d9b6f3a45c4f1\",0,\"algebra_611463\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005503.lean\",\"41ed61cabfddf7f961e7ce697c15cd8d0c1d301134cea6ed0e97b00bf534c347\",0,\"algebra_94725\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005504.lean\",\"15a6fc1395d85d2051f8dab06f4ac7339ef16c2a558d1476b5e6f4b1b53267e2\",0,\"number_theory_228293\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001100-0000-4d32d79b4daf3de7.parquet",
-      "sha256": "4d32d79b4daf3de7ef8e8c4634c413377de30555ba1d8626443226befaab3ce3",
       "bytes": 401938,
+      "path": "data/train/pbf/numina-001100-0000-4d32d79b4daf3de7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
+      "sha256": "4d32d79b4daf3de7ef8e8c4634c413377de30555ba1d8626443226befaab3ce3"
     },
     {
-      "path": "data/train/numina-001100-0001-e43b101894af952f.parquet",
-      "sha256": "e43b101894af952f796d5fddb6607e485b8cfed14e059fc37f8147b8c4be16b3",
       "bytes": 1115723,
+      "path": "data/train/pbf/numina-001100-0001-e43b101894af952f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
+      "sha256": "e43b101894af952f796d5fddb6607e485b8cfed14e059fc37f8147b8c4be16b3"
     },
     {
-      "path": "data/train/numina-001100-0002-aaf2ea8ebe6c8158.parquet",
-      "sha256": "aaf2ea8ebe6c815815509405a56f8ff9e00e81cca68851a9054b30eddf583655",
       "bytes": 48204,
+      "path": "data/train/pbf/numina-001100-0002-aaf2ea8ebe6c8158.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
+      "sha256": "aaf2ea8ebe6c815815509405a56f8ff9e00e81cca68851a9054b30eddf583655"
     },
     {
-      "path": "data/internal_test/numina-001100-0000-0841ec4b9cf15839.parquet",
-      "sha256": "0841ec4b9cf15839850264b7a86b9ecfa54149695185862b8d8f6442cf9971c4",
       "bytes": 33648,
+      "path": "data/internal_test/pbf/numina-001100-0000-0841ec4b9cf15839.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
+      "sha256": "0841ec4b9cf15839850264b7a86b9ecfa54149695185862b8d8f6442cf9971c4"
     }
-  ],
-  "proof_ids": [
-    "numina:2ab9f517-a869-56d0-a3ab-e2167132fbcd",
-    "numina:63c83791-7459-5993-bca3-0131fabb036b",
-    "numina:73fa1073-4367-51e5-8103-d2c91f075761",
-    "numina:7f2130a9-6889-5233-9834-27a94be0f171",
-    "numina:802e1967-05aa-54ab-b313-399295ba8ada"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005500.lean\",\"f12721b5e85b8c329fe9cf3b2e4e34cc9772c4c3d49a542c05dfbf931bc49b33\",0,\"algebra_12792\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005501.lean\",\"fa767ae1001ccfda244523eead7eb4026e4a15c0259aac31f9df43566c6edf08\",0,\"inequalities_223970\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005502.lean\",\"0584c099f26ede983c215c761907106ed9b7ff6a7fe5008cff7d9b6f3a45c4f1\",0,\"algebra_611463\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005503.lean\",\"41ed61cabfddf7f961e7ce697c15cd8d0c1d301134cea6ed0e97b00bf534c347\",0,\"algebra_94725\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005504.lean\",\"15a6fc1395d85d2051f8dab06f4ac7339ef16c2a558d1476b5e6f4b1b53267e2\",0,\"number_theory_228293\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001101.json b/manifests/batches/numina/001101.json
index e08965eb00eeb9b5c821c23052571844d7d2bb31..8bfa739669cf0e13f2456c25199dd9f93fe1f900 100644
--- a/manifests/batches/numina/001101.json
+++ b/manifests/batches/numina/001101.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001101",
   "batch_fingerprint": "8828984d78ebc39a82e63008485cf2a2aaf480b61dfa7aa231a12b6ed37de270",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001101-0000-345ead6f77f0d251.parquet",
-      "sha256": "345ead6f77f0d25152bc71ec0ea5a573e070d5887acdaff2272fd98301735fb7",
-      "bytes": 327086,
-      "rows": 49,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d1d4324-cf70-5b4f-a1b6-6429b9c68dde",
     "numina:6d5587a1-0dc6-5a65-947f-ad42bf9e6ff2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005507.lean\",\"5c538b9cc9bacdc9be20f0967643976bca75015e10a362bde6f761f45012bf34\",0,\"algebra_228304\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005508.lean\",\"8e564953d2b1b82628e38770291a2d07ce286e756a9787b00886371841ba56ee\",0,\"algebra_12425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005509.lean\",\"8726f146d368042c5df654a55e6da83d7222420670e961d9264bca0fa738105f\",0,\"calculus_7736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327086,
+      "path": "data/train/p44/numina-001101-0000-345ead6f77f0d251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "345ead6f77f0d25152bc71ec0ea5a573e070d5887acdaff2272fd98301735fb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001102.json b/manifests/batches/numina/001102.json
index dd07b9c78f912489e4e8ea4935de74fd3166551e..4aa232542ab12797c7439fb836e0110e069bf2dd 100644
--- a/manifests/batches/numina/001102.json
+++ b/manifests/batches/numina/001102.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001102",
   "batch_fingerprint": "c7ef09c92c24f739ff12057df91822aa945e2a16a53eb85670227c67968a5eb1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001102-0000-63a3700ecf67dfbb.parquet",
-      "sha256": "63a3700ecf67dfbb9f9ec8dba87f0c5b1433eab1de39951bc360dcdf0f1cc10d",
-      "bytes": 588854,
-      "rows": 36,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2639a7d8-82de-5b81-b41f-95550fc1563d",
     "numina:5b80c18c-9d29-509c-aa6f-731be0ebd9f1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005512.lean\",\"fa37309687e43cfe0bb9004cbb6df230e9413dbfd8d4e71965071c199c4ad06b\",0,\"algebra_13014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005513.lean\",\"18d882aff22693b836e451aadb66523675e79465b065316368ea48d5cdcc94e1\",0,\"inequalities_614094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005514.lean\",\"abb02353c4d5ff0c1d64ee35edc8089193898c585fc1286367a8896236a63fd4\",0,\"inequalities_115829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588854,
+      "path": "data/train/pc0/numina-001102-0000-63a3700ecf67dfbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "63a3700ecf67dfbb9f9ec8dba87f0c5b1433eab1de39951bc360dcdf0f1cc10d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001103.json b/manifests/batches/numina/001103.json
index 98bc5d6f3bccd3efc91560981c4080a6dca273eb..4422da44384d6d375eb6a0c4b2e05eed7f2a9e9e 100644
--- a/manifests/batches/numina/001103.json
+++ b/manifests/batches/numina/001103.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001103",
   "batch_fingerprint": "836f81ed273d32322cc79334f0407fee22fa3150bbcc5c739a091ac23486500b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001103-0000-f19aa3caaae045ad.parquet",
-      "sha256": "f19aa3caaae045ada49653df24a11046657910c878dc463b84d677830c7789f8",
-      "bytes": 492858,
-      "rows": 21,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    },
-    {
-      "path": "data/internal_test/numina-001103-0000-c43e6b44b86538c4.parquet",
-      "sha256": "c43e6b44b86538c4e44d5ed79d1675739d581fcec952c8277ea5385c8bfc7f53",
-      "bytes": 689251,
-      "rows": 30,
-      "revision": "8d7b575de3a7577b6afe7828e68fe7a4f822868f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19d1926c-50b3-5e76-81a0-b12cae89f7b0",
     "numina:2df24c86-5dc8-5d7d-951f-53363dcf0a7a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005517.lean\",\"b65f07e1cd7ece95198c65284e37de50b5a29943df287c59009d33e2fea3ee1e\",0,\"number_theory_611076\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005518.lean\",\"2d7f3c0081095cf98772f1b150d67b842e0ddc4f6ccf0c0bdc23b24f14cbae26\",0,\"algebra_1146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005519.lean\",\"6ff1dad4389a63283e536c175763002acac358d0dc723be317fb2290d041e547\",0,\"number_theory_97032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492858,
+      "path": "data/train/p0c/numina-001103-0000-f19aa3caaae045ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f19aa3caaae045ada49653df24a11046657910c878dc463b84d677830c7789f8"
+    },
+    {
+      "bytes": 689251,
+      "path": "data/internal_test/p0c/numina-001103-0000-c43e6b44b86538c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "c43e6b44b86538c4e44d5ed79d1675739d581fcec952c8277ea5385c8bfc7f53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001104.json b/manifests/batches/numina/001104.json
index b60eb3198ba7777e67a213333d32d0106f5c5a2e..3dc7655269f287268e3ca185f539c132fc992249 100644
--- a/manifests/batches/numina/001104.json
+++ b/manifests/batches/numina/001104.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001104",
   "batch_fingerprint": "843b07f132161617522106242779704664011e759779f7845980fbee98a0d5a9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001104-0000-f7b4bd11bef35307.parquet",
-      "sha256": "f7b4bd11bef3530728520a5901ac84db120740ad6e3fd5d848de8533a2d61790",
-      "bytes": 1374644,
-      "rows": 53,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/train/numina-001104-0001-9c937380e1fbc32d.parquet",
-      "sha256": "9c937380e1fbc32d094585877204635b843d4dd55e465d04df398fb2d515d5bd",
-      "bytes": 303804,
-      "rows": 24,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01d909d2-bd54-5c1e-bb52-fb35499fb1b2",
     "numina:22a1585f-5164-59ee-908a-5b189001ff94",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005522.lean\",\"f9effa71d922cea55e4b8fa8c53563895d6c3d2fc45fc3424649ebd8e386526e\",0,\"algebra_115086\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005523.lean\",\"78151ce30bf92cf5a3538bcc10d70a1ee358eeb9ccf9c3b1d3c0bcb3eba1d4e1\",0,\"algebra_224104\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005524.lean\",\"1a17d799f5fb1ab58c87bbb865906ecf933237d8449d9c05b148d372782bf993\",0,\"algebra_610910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1374644,
+      "path": "data/train/p7b/numina-001104-0000-f7b4bd11bef35307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "f7b4bd11bef3530728520a5901ac84db120740ad6e3fd5d848de8533a2d61790"
+    },
+    {
+      "bytes": 303804,
+      "path": "data/train/p7b/numina-001104-0001-9c937380e1fbc32d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9c937380e1fbc32d094585877204635b843d4dd55e465d04df398fb2d515d5bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001105.json b/manifests/batches/numina/001105.json
index f4aae674e331b1d42a2f9fed35b32f07f1353979..a4a4000ef047c9fb4aa4f0a33edb0dc1e83beb13 100644
--- a/manifests/batches/numina/001105.json
+++ b/manifests/batches/numina/001105.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001105",
   "batch_fingerprint": "3c44429fe4a5ac74ba069fd092a86159fd23701bbe9d066143e47cebee24f046",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001105-0000-1dfd469738134439.parquet",
-      "sha256": "1dfd469738134439f34619014ad742049197945f8002e98909e4bf879dc1b013",
-      "bytes": 293018,
-      "rows": 26,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    },
-    {
-      "path": "data/internal_test/numina-001105-0000-680b7963aa23c406.parquet",
-      "sha256": "680b7963aa23c406e22ce9c1dde8130a2ac14dd4a62351bef274e9bcaf127581",
-      "bytes": 114809,
-      "rows": 11,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e6ca847-acf1-519f-acb8-1871a57236ae",
     "numina:353e6ab2-ae3e-5ef3-a667-454badd6aaee",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005527.lean\",\"b316d7e5a8bc862ac1e215555c08895579eea6e913413c8bb283e5e1e49da340\",0,\"algebra_95292\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005528.lean\",\"27c51860d057f7858ab12b8b3b4fb2f0b17f42a82a4ae18dc6fd0c53d62598d7\",0,\"number_theory_220973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005529.lean\",\"039b0f394e129f0ac9258543f6f1aa5240b6ac6e36b66fabfc5e395da4d8adc5\",0,\"algebra_623484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293018,
+      "path": "data/train/p26/numina-001105-0000-1dfd469738134439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1dfd469738134439f34619014ad742049197945f8002e98909e4bf879dc1b013"
+    },
+    {
+      "bytes": 114809,
+      "path": "data/internal_test/p26/numina-001105-0000-680b7963aa23c406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "680b7963aa23c406e22ce9c1dde8130a2ac14dd4a62351bef274e9bcaf127581"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001106.json b/manifests/batches/numina/001106.json
index 46493832c5f83c5e6675a375c3083e1bee4dc1a9..561266305ea1624b95c4fd3e78c7154c75de28ab 100644
--- a/manifests/batches/numina/001106.json
+++ b/manifests/batches/numina/001106.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001106",
   "batch_fingerprint": "2e3822dc87ea2d0e8d3f74c54905c8fab39e2ba7e1e403c533fb05c45eae6a9b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001106-0000-ad68a10b0a381a05.parquet",
-      "sha256": "ad68a10b0a381a05db3c341428b21edb5670a5457c7f38224d8a8d80bfd4b72e",
-      "bytes": 589928,
-      "rows": 43,
-      "revision": "4dbd9775daba0af0fd6fdd456fb509b76555ebbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:405ac224-e87e-5ffc-ae8b-a0418c954fc4",
     "numina:5c8b27e9-4ef7-57b7-bfca-b891e6e8969c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005532.lean\",\"6c7792b09cbcf3c8f899b170656c9473b4252efe86d07492343dacd311e3625e\",0,\"number_theory_624065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005533.lean\",\"fd57086ff19e4dc350ddf85ff2cf0116daa8581904c57c8df06a6bbedff40986\",0,\"algebra_700\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005534.lean\",\"328002e2af7ead65d87a31166626b6e360efdae83fbcf098d16db5991decc980\",0,\"number_theory_225048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589928,
+      "path": "data/train/p77/numina-001106-0000-ad68a10b0a381a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "ad68a10b0a381a05db3c341428b21edb5670a5457c7f38224d8a8d80bfd4b72e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001107.json b/manifests/batches/numina/001107.json
index 7f8516bd5d06896a04dfcebfe5dec7eb5206dc3f..fadd4abe0ef6d2adc40c30fbcad700125f841582 100644
--- a/manifests/batches/numina/001107.json
+++ b/manifests/batches/numina/001107.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001107",
   "batch_fingerprint": "e92ec68f2686575c1f783aeab61b684e25db9d893f145b30ec65beba93a864fb",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001107-0000-967738e1e94f5921.parquet",
-      "sha256": "967738e1e94f59217b50b367edf1b222beb1f6d6325dc73ed5e5474596200136",
-      "bytes": 519417,
-      "rows": 64,
-      "revision": "bb9a2b951364e578fd89e1465c58d0c0669995c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:67d4735d-af04-5092-9076-7922c2d78f6f",
     "numina:91afa7f7-5316-5abb-b15c-96b79e40b172",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005536.lean\",\"8ba2313118d6d133a1f2ab4317c21c20a88b7292eab300881707948f9db9991c\",0,\"number_theory_611062\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005538.lean\",\"5a17e2f9a3f6156ea18f70999fe173120e0871d148e400841121ebab2cb3f558\",0,\"algebra_239398\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005539.lean\",\"385f8b5b5da8c628a8838e8d5ed4334df1e817e74a2bfe2f3d449fc4bc6f38c1\",0,\"number_theory_617916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519417,
+      "path": "data/train/p63/numina-001107-0000-967738e1e94f5921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "967738e1e94f59217b50b367edf1b222beb1f6d6325dc73ed5e5474596200136"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001108.json b/manifests/batches/numina/001108.json
index fdc52e733e1069b6962aec13a5e46d351eb7e70b..b98a3c7319e3b55817821f0465f244c6ab71ce8f 100644
--- a/manifests/batches/numina/001108.json
+++ b/manifests/batches/numina/001108.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001108",
   "batch_fingerprint": "57e5cfad257c855fb14e47b689e7cccd97e16a98e6e58e6d18aa2d621273ef06",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001108-0000-fe41b5f35a7c4ce8.parquet",
-      "sha256": "fe41b5f35a7c4ce8338690e04b1cbfb17eeea60ab52b0e198e9895c5cdb026ca",
-      "bytes": 734870,
-      "rows": 55,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/train/numina-001108-0001-42d97eefaf87f01c.parquet",
-      "sha256": "42d97eefaf87f01c2b682f96a9c2b710218af98d2da889a465094f2061dd1468",
-      "bytes": 668104,
-      "rows": 37,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/train/numina-001108-0002-5968caf7d99c1c9c.parquet",
-      "sha256": "5968caf7d99c1c9cd3aeb24bbe5cb9046914fa0da0687b4ec60eb7e2d7cc465e",
-      "bytes": 182989,
-      "rows": 27,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3409a21b-e480-58c4-a3c6-fe2b87ea8036",
     "numina:3be0b9ef-47f2-55fe-a80d-1eddc77f96bf",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005542.lean\",\"51ab75b0cf8ec1223b9040a718351ade7e555f31d2d56ee95517945f145308b8\",0,\"number_theory_8066\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005544.lean\",\"8ce1155c7820c2b4d4c7e8ca9d3d126eed5c84336f7da8981964e27a38146922\",0,\"number_theory_95708\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734870,
+      "path": "data/train/p49/numina-001108-0000-fe41b5f35a7c4ce8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "fe41b5f35a7c4ce8338690e04b1cbfb17eeea60ab52b0e198e9895c5cdb026ca"
+    },
+    {
+      "bytes": 668104,
+      "path": "data/train/p49/numina-001108-0001-42d97eefaf87f01c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "42d97eefaf87f01c2b682f96a9c2b710218af98d2da889a465094f2061dd1468"
+    },
+    {
+      "bytes": 182989,
+      "path": "data/train/p49/numina-001108-0002-5968caf7d99c1c9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "5968caf7d99c1c9cd3aeb24bbe5cb9046914fa0da0687b4ec60eb7e2d7cc465e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001109.json b/manifests/batches/numina/001109.json
index f81ed6509a106da187cd6431324520ae5b9f0e62..5e09a0eab338edc912d412eec1d82271cab3598d 100644
--- a/manifests/batches/numina/001109.json
+++ b/manifests/batches/numina/001109.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001109",
   "batch_fingerprint": "9c933b3cc898da8cf84aba41c411c0afb55f4d2578db1bcbb125de58ee4f7b75",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001109-0000-72c8a8b93be09c66.parquet",
-      "sha256": "72c8a8b93be09c669498a544cf768f17bfd5ba2eb98e95b172f5d266241ecfdf",
-      "bytes": 394474,
-      "rows": 39,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a23b6b4-91d7-5e51-9e7b-6c60f3a61bb8",
     "numina:8c0a34b0-57f4-5aed-a1c2-a77a9d15e960",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005547.lean\",\"7829a3431d4284ab16e29ecbb15e694a8d7ed68854bc04e5ff948e79efb63f20\",2,\"algebra_109097\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005548.lean\",\"a0e86ff4a3a45c1095b13a7ade40ac809d8d4ace43547fcf13f809d705c43787\",0,\"number_theory_233476\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005549.lean\",\"36fe32ebaf7381c91575cd8eef20a1424af654691104322bc62c60f8ff1c2c41\",1,\"number_theory_623651\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394474,
+      "path": "data/train/pf4/numina-001109-0000-72c8a8b93be09c66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "72c8a8b93be09c669498a544cf768f17bfd5ba2eb98e95b172f5d266241ecfdf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001110.json b/manifests/batches/numina/001110.json
index 3dd3b86cc52cfa3b6542fa0d2995a261da856940..d266e00c37c5be5d788ea38abfa59dbe8523f390 100644
--- a/manifests/batches/numina/001110.json
+++ b/manifests/batches/numina/001110.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001110",
   "batch_fingerprint": "f15fdeb07b3e081c7d540c058c6dbc5d7d2d3f0530becbffaa165ada621ccc22",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001110-0000-30d4175ee6e536d0.parquet",
-      "sha256": "30d4175ee6e536d0d1ae1a3e63f8cc44d2fa80f17ce248ead601ecb3990a8a2f",
-      "bytes": 234319,
-      "rows": 30,
-      "revision": "435f9c6d2b5ced140150c428b296b79a5a9bc606"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:241e1a29-29a3-5fbd-89e6-e5250cef7d0b",
     "numina:5aaa488b-4dd7-5908-ae3b-b48e63900169",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005551.lean\",\"4b67d0e336f4a97cd9b5466127a01446e8f0da3d79eb6482daed6615e5b8c9ae\",0,\"calculus_611317\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005553.lean\",\"4fc7d068381141892885529ff32f57b664649a695d25e2a1ee4cf935dd4e0f20\",0,\"number_theory_223952\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005554.lean\",\"2b619b55bd3a1a9bf28ec6b5affce94511c74506ba7c9ca66ee57a90ccbb11fc\",0,\"algebra_98634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234319,
+      "path": "data/train/pd7/numina-001110-0000-30d4175ee6e536d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "30d4175ee6e536d0d1ae1a3e63f8cc44d2fa80f17ce248ead601ecb3990a8a2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001111.json b/manifests/batches/numina/001111.json
index 33e3bb59c81993134fbe6233b28134edee0229ef..5faba20678783de506a3d310a6c81bf9ae60c15b 100644
--- a/manifests/batches/numina/001111.json
+++ b/manifests/batches/numina/001111.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001111",
   "batch_fingerprint": "ca89d149fd5e5763351fa1a81da2e7a8666e3df60351631d13571d4db41a2723",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001111-0000-1d1fe2b0bec662fe.parquet",
-      "sha256": "1d1fe2b0bec662fe458a1e33985141b9003123a023f53cb818af8dfb5d123b71",
-      "bytes": 504882,
-      "rows": 18,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/internal_test/numina-001111-0000-72885ffb0ef27aab.parquet",
-      "sha256": "72885ffb0ef27aabadc42bb898f417c73bcdbeedb139693868808d46aa16d8b6",
-      "bytes": 349355,
-      "rows": 3,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03149a87-4f02-5e10-af08-8551acc58c4f",
     "numina:7bfb79d1-a9a6-545c-b4c1-5c13061ea859",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005557.lean\",\"52c1f984ed0ae319015587dcdfa0e75bb62fa34d2665046440f96d5ff6ab5ac2\",0,\"algebra_231353\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005558.lean\",\"8e2bed00c672d0c61d7d1cd4267b234503f94dee7403a3d4d1da59c42fd115cd\",0,\"algebra_611338\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005559.lean\",\"3f07019229d8e3ee4cb2e26e7f781415ccd4e71cde06317d1ac8f6f1a601d8e8\",0,\"algebra_97379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 504882,
+      "path": "data/train/p0b/numina-001111-0000-1d1fe2b0bec662fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1d1fe2b0bec662fe458a1e33985141b9003123a023f53cb818af8dfb5d123b71"
+    },
+    {
+      "bytes": 349355,
+      "path": "data/internal_test/p0b/numina-001111-0000-72885ffb0ef27aab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "72885ffb0ef27aabadc42bb898f417c73bcdbeedb139693868808d46aa16d8b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001112.json b/manifests/batches/numina/001112.json
index 9c818f144c9a56583e4ad710290c6341b0810336..b4bfba4e7eca3c6b2acc8c99f2bab3f54c73edb4 100644
--- a/manifests/batches/numina/001112.json
+++ b/manifests/batches/numina/001112.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001112",
   "batch_fingerprint": "5e9beeea1ebb60742fc580fd32142a96c7047a85053981436aaa6024e316aa22",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001112-0000-cae5a818e48cc38c.parquet",
-      "sha256": "cae5a818e48cc38cc1b9716e807369fe5aaa6207ba6e6fcc3c67791a29230f68",
-      "bytes": 595591,
-      "rows": 18,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/train/numina-001112-0001-4ea13c66d5b7d7b2.parquet",
-      "sha256": "4ea13c66d5b7d7b23c36e0109dd56e0c36933261d6493757c760678d63cd4a5c",
-      "bytes": 267689,
-      "rows": 30,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/internal_test/numina-001112-0000-fc72b7ed9f1ddbaf.parquet",
-      "sha256": "fc72b7ed9f1ddbaf92cd69596157e73982cd09c759714df7313dd3cd21d75aa3",
-      "bytes": 67895,
-      "rows": 2,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bb338af-74e2-5d08-9434-ec4dab3cc3a5",
     "numina:43352983-26cc-58a6-978a-9a1258f5a99e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005562.lean\",\"d354ff442950c137be2306d0955b56c1ca70c254ea110d1abfabda2902ea4a33\",0,\"algebra_225912\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005563.lean\",\"73f5bc5cafd291fb5dfc4baa8351540307ccc9b387039dd95638927c68fc9efb\",0,\"algebra_611430\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005564.lean\",\"e0b0d420892b21bd37cf512db8e9f5f0d940417c4391092d690675bfb22fbd24\",0,\"number_theory_237075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595591,
+      "path": "data/train/pd3/numina-001112-0000-cae5a818e48cc38c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cae5a818e48cc38cc1b9716e807369fe5aaa6207ba6e6fcc3c67791a29230f68"
+    },
+    {
+      "bytes": 267689,
+      "path": "data/train/pd3/numina-001112-0001-4ea13c66d5b7d7b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4ea13c66d5b7d7b23c36e0109dd56e0c36933261d6493757c760678d63cd4a5c"
+    },
+    {
+      "bytes": 67895,
+      "path": "data/internal_test/pd3/numina-001112-0000-fc72b7ed9f1ddbaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fc72b7ed9f1ddbaf92cd69596157e73982cd09c759714df7313dd3cd21d75aa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001113.json b/manifests/batches/numina/001113.json
index 9969d6f45e91f92fb454596be96d70b4a5e186ea..f3c3807dd3191a9d15a47254a4b0c70a1990f45e 100644
--- a/manifests/batches/numina/001113.json
+++ b/manifests/batches/numina/001113.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001113",
   "batch_fingerprint": "36d0a6f47d3524f88dc58ff1eb94b88621f2c901ee25cc1de2990f151b5bf991",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001113-0000-0127a99c1b1806dc.parquet",
-      "sha256": "0127a99c1b1806dc0a95b142d79dad97288bdd288c37b720c3a7e658adedf509",
-      "bytes": 603172,
-      "rows": 69,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/dev/numina-001113-0000-e72d10c5e9f2affa.parquet",
-      "sha256": "e72d10c5e9f2affaa04b3d733621f85a7241b13862afd82f8e58286849edd1da",
-      "bytes": 25928,
-      "rows": 1,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:18294f2e-e294-5a86-95f7-ba99057cd477",
     "numina:6334a07b-e0bb-50c5-b8d3-e44225880aec",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005567.lean\",\"96906e63f19b1f3cb012f0ea6bbc5509c611e3e5efe1a4f05060973bff7cd785\",0,\"number_theory_611460\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005569.lean\",\"d56703532204c25537fe1abaa6676b6ae35d72da3098965454ad9576487216d7\",0,\"inequalities_224703\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 603172,
+      "path": "data/train/pc2/numina-001113-0000-0127a99c1b1806dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "0127a99c1b1806dc0a95b142d79dad97288bdd288c37b720c3a7e658adedf509"
+    },
+    {
+      "bytes": 25928,
+      "path": "data/dev/pc2/numina-001113-0000-e72d10c5e9f2affa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e72d10c5e9f2affaa04b3d733621f85a7241b13862afd82f8e58286849edd1da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001114.json b/manifests/batches/numina/001114.json
index be8f6a010c075aff38838dc2d25530309e6923ca..ceb292ab2b53f66a1df80590cb397014606e00a5 100644
--- a/manifests/batches/numina/001114.json
+++ b/manifests/batches/numina/001114.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001114",
   "batch_fingerprint": "601e60a0e7cd2798aba07a002d2d447901290a37f58cf0cc37205d3c80e50615",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001114-0000-1cc5fff4ae179db0.parquet",
-      "sha256": "1cc5fff4ae179db0b713bc3e111674d9d07f6f11d404c9598a936f1b9c7e5264",
-      "bytes": 609419,
-      "rows": 24,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    },
-    {
-      "path": "data/train/numina-001114-0001-ef6362db7ab1ab44.parquet",
-      "sha256": "ef6362db7ab1ab44d5080a9c61637ff5852483a72301ae2fee40057ded9538a9",
-      "bytes": 397018,
-      "rows": 33,
-      "revision": "5ec4d25475848e94f7ae2b48c689582d76530422"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d3b184b-82f5-5e5b-b341-54023bfeb9c9",
     "numina:47b2b0a2-1ace-5968-a733-16bc321dd100",
@@ -48,5 +32,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005574.lean\",\"a63a1128d5d26faa65b9c79967f8a34e820b4a8308ad29276947b96e1b1e1b95\",1,\"inequalities_25087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 609419,
+      "path": "data/train/p8f/numina-001114-0000-1cc5fff4ae179db0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "1cc5fff4ae179db0b713bc3e111674d9d07f6f11d404c9598a936f1b9c7e5264"
+    },
+    {
+      "bytes": 397018,
+      "path": "data/train/p8f/numina-001114-0001-ef6362db7ab1ab44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "ef6362db7ab1ab44d5080a9c61637ff5852483a72301ae2fee40057ded9538a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001115.json b/manifests/batches/numina/001115.json
index 3542db800003807e92529417b6f3ac2d2c09456b..6554535bf71ecfbcc9edc44d28707eb0058c03e6 100644
--- a/manifests/batches/numina/001115.json
+++ b/manifests/batches/numina/001115.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001115",
   "batch_fingerprint": "61f7135168376e1f6a5cd9a27b18f0c8621f8ed33b21067b7f2d38a27cf9116e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001115-0000-c4d081da62ef2bd3.parquet",
-      "sha256": "c4d081da62ef2bd32613dcfc07a0e5edae76e411954237654c35691f566b9772",
-      "bytes": 199051,
-      "rows": 26,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    },
-    {
-      "path": "data/internal_test/numina-001115-0000-f66872126f3bd4a4.parquet",
-      "sha256": "f66872126f3bd4a45133326dfaa70832963f8a96b72c124082c432b504819e78",
-      "bytes": 187036,
-      "rows": 4,
-      "revision": "9162b3b2c9419b6b4ff7e051642bc8aa7ac47a11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:65aadbe0-816d-5c32-a2a2-4fe247f629c9",
     "numina:70482d7d-b071-5b11-803d-945e657ce984",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005577.lean\",\"17d8c8454aec2a315403d69b14eca6519517c2568102841ed59ebfee90eda047\",0,\"Other_25033\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005578.lean\",\"eaf1d4a9a1b6f4a32afcca33024f0da5b25e34a1bcb8f28ec977be1388de30ce\",0,\"algebra_97790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005579.lean\",\"ce1c6fde8d1348bc3ba44a6decc527fc312e6c8e271830e9e9d746e98e6ff674\",0,\"algebra_225501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199051,
+      "path": "data/train/p4a/numina-001115-0000-c4d081da62ef2bd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c4d081da62ef2bd32613dcfc07a0e5edae76e411954237654c35691f566b9772"
+    },
+    {
+      "bytes": 187036,
+      "path": "data/internal_test/p4a/numina-001115-0000-f66872126f3bd4a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f66872126f3bd4a45133326dfaa70832963f8a96b72c124082c432b504819e78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001116.json b/manifests/batches/numina/001116.json
index d52a988528319132a3a47bc26c3d424e4b2e1290..b27fa0d2714d7819cf762b58e7c94890a9988d2f 100644
--- a/manifests/batches/numina/001116.json
+++ b/manifests/batches/numina/001116.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001116",
   "batch_fingerprint": "0a0e27b5dd4066c5799656173c86a4d49881b24ff2dc30ebd18345fee7e7af03",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001116-0000-b18c6c56a64b64ea.parquet",
-      "sha256": "b18c6c56a64b64ea29af62d242d4ade244179e47abc9b75cf4914c32e8764a86",
-      "bytes": 417198,
-      "rows": 18,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/numina-001116-0000-3fe6e9cb874021c7.parquet",
-      "sha256": "3fe6e9cb874021c780580749505f65dc380789dc4def123b03763034cd115282",
-      "bytes": 195680,
-      "rows": 5,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d5b5c8e-f408-5127-81dd-a7286d2559c1",
     "numina:5df84962-d536-58b0-9d6c-6aab4f6f7142",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005582.lean\",\"a4b37c41f12a20b3a498eac5bc018e3848320cc02c0829fcbf86a4b915bb6d00\",0,\"Inequalities_613610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005583.lean\",\"74adacce9d72feaf4e3487cc76b8b3b49d5a4c170e7a7b154249f53d7ab59985\",0,\"algebra_97758\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005584.lean\",\"46e6bac318074e762fe0ba022114eadd526f8a64b6833b60236434c0884a87ab\",0,\"algebra_228096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417198,
+      "path": "data/train/p6f/numina-001116-0000-b18c6c56a64b64ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b18c6c56a64b64ea29af62d242d4ade244179e47abc9b75cf4914c32e8764a86"
+    },
+    {
+      "bytes": 195680,
+      "path": "data/dev/p6f/numina-001116-0000-3fe6e9cb874021c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3fe6e9cb874021c780580749505f65dc380789dc4def123b03763034cd115282"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001117.json b/manifests/batches/numina/001117.json
index 349942c6105a717dab28860d9247d9b6c6a499cd..75f1d2545b10bb94d281e0bf69e31d8c1a6656a7 100644
--- a/manifests/batches/numina/001117.json
+++ b/manifests/batches/numina/001117.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001117",
   "batch_fingerprint": "c880b790803284b573fc8d0fe5aa871c9e3c57b16a748a575e4d5a8886e30f87",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001117-0000-dd4e7d0283db27cd.parquet",
-      "sha256": "dd4e7d0283db27cd63e9065674b828e4b770a5171d8ce705f760ee4821cd7aa2",
-      "bytes": 405344,
-      "rows": 18,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/dev/numina-001117-0000-a48ff3fc337919bd.parquet",
-      "sha256": "a48ff3fc337919bd9ffaffa83bf65db416d2fccbcd9a63dbc2982995f81c48f6",
-      "bytes": 255167,
-      "rows": 51,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:230b0c47-45f1-50fb-b609-5f7694da17e2",
     "numina:246ebdbb-ede6-5507-bb22-a80ebc933d80",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005587.lean\",\"f5affff6b40c9eec9b01134f72f1ca1b516da919cb3a7c0bb531f72acac19321\",0,\"number_theory_24352\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005588.lean\",\"03e6f0abe36bc2c41020b3139df6bb1d6d57628854e97c3501fa4e6b020b78c5\",0,\"number_theory_233273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005589.lean\",\"b00a953a81c3742c37d662aa71f34c4ea78da00bb05f439233e7a0339f6d5fea\",0,\"algebra_611433\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 405344,
+      "path": "data/train/pf3/numina-001117-0000-dd4e7d0283db27cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "dd4e7d0283db27cd63e9065674b828e4b770a5171d8ce705f760ee4821cd7aa2"
+    },
+    {
+      "bytes": 255167,
+      "path": "data/dev/pf3/numina-001117-0000-a48ff3fc337919bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "a48ff3fc337919bd9ffaffa83bf65db416d2fccbcd9a63dbc2982995f81c48f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001118.json b/manifests/batches/numina/001118.json
index 028c77980ce1c569318ef60f61dfa6b73f73c0ae..47e17a595325445efd79caf2da5edfbc75dde543 100644
--- a/manifests/batches/numina/001118.json
+++ b/manifests/batches/numina/001118.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001118",
   "batch_fingerprint": "d8c974726be9c665a449f032012ed4d5b22c60b52a845e3e4c954b6ba4de867b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001118-0000-afc7067dbbe8c5ba.parquet",
-      "sha256": "afc7067dbbe8c5bad784900772c6976b278f4e67819501aeb37caf57e1f0a375",
-      "bytes": 386137,
-      "rows": 27,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:20ecb3fb-757c-5ce8-a1fe-2b59a4680d49",
     "numina:2dafbfa8-1618-51cb-a071-1123c892e9ca",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005592.lean\",\"c11ee49ad179f3bf388ae8d6ee90803542311af0fae5b8f4f2e8c8d42c25a89a\",0,\"calculus_4698\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005593.lean\",\"8077be898323bc2e97c687ef41d09885b1d15190bf58568c51229b63ff3b3e96\",3,\"algebra_115275\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005594.lean\",\"78ff75b92c175d68e43afcdf49ed3f7a3ec885dc47cb7859c970404530e71cac\",0,\"inequalities_3305\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386137,
+      "path": "data/train/pb4/numina-001118-0000-afc7067dbbe8c5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "afc7067dbbe8c5bad784900772c6976b278f4e67819501aeb37caf57e1f0a375"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001119.json b/manifests/batches/numina/001119.json
index d30c97d64eb3504f16b6ce149186e9f0e1c90a7c..acc54ca3705ebced1b2ffc2444e55bd0b1201f14 100644
--- a/manifests/batches/numina/001119.json
+++ b/manifests/batches/numina/001119.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001119",
   "batch_fingerprint": "19f9cc5315e4ed5700af60dbf9476e52dbc8f5aec51e471602b66cf5c2e762fe",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001119-0000-e54ebc324c83faa2.parquet",
-      "sha256": "e54ebc324c83faa2528db3e7212aa12370ae0937cd32f14a9228f7b3112b5020",
-      "bytes": 498359,
-      "rows": 29,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/internal_test/numina-001119-0000-0f9cac7126184113.parquet",
-      "sha256": "0f9cac712618411389ee64639dc4f5d3f33a306b4c0b82679151caabad6c2673",
-      "bytes": 86105,
-      "rows": 15,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:285d891d-b596-56eb-90d9-ff0602a5349c",
     "numina:95b53b06-b10c-5113-b137-8dfee59a7c2b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005597.lean\",\"128a159256eb9d4fd5606fe87d5d38664b6dc68fe5af70aa01d9567ae2bc1763\",0,\"number_theory_119261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005598.lean\",\"b2b4e64909a4c161de2a99cebb99a3e92678d36df1933c34ea7eefd18a4a4649\",0,\"algebra_227112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005599.lean\",\"ec566b8a8bbd98184ee04e75f2f322564013c0263d8b013bdf66200cf7ba0da5\",0,\"number_theory_613328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 498359,
+      "path": "data/train/p1e/numina-001119-0000-e54ebc324c83faa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e54ebc324c83faa2528db3e7212aa12370ae0937cd32f14a9228f7b3112b5020"
+    },
+    {
+      "bytes": 86105,
+      "path": "data/internal_test/p1e/numina-001119-0000-0f9cac7126184113.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0f9cac712618411389ee64639dc4f5d3f33a306b4c0b82679151caabad6c2673"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001120.json b/manifests/batches/numina/001120.json
index ab06a31f9ce31e5767ea720615e53674cb0aad45..c1e4435c620c2ec74ed3da2608354a57bbf261f8 100644
--- a/manifests/batches/numina/001120.json
+++ b/manifests/batches/numina/001120.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001120",
   "batch_fingerprint": "6f74972bc6584c58580cf3125a146a687895e36bb01710a1c69147d47e9f56b4",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:7e7c02f3-96a1-517c-84be-d8f728d8bbf8",
+    "numina:8501bc66-7862-55f2-81d2-85323f85e096",
+    "numina:9a76e23c-4202-5c4a-a5da-0d3f17501eed",
+    "numina:e3087831-d6f2-5067-8cde-cfab7eb9560a",
+    "numina:f63d0bd8-4bb5-5740-9bad-8181d2cbdda2"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005600.lean\",\"5855475323d4369ddbe6cf666358f9342be2b02852f30366d1f863ceb75149b0\",0,\"algebra_23800\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005601.lean\",\"7fe2809a0d5953fd675614c26698d8ebe6223535c52b2f1d21ab25476e7eac66\",0,\"inequalities_146718\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005602.lean\",\"fcf392d8b0468635bd79c8433dc8692f62581fd6816e97b512a736034c657584\",0,\"algebra_4665\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005603.lean\",\"7c9456d25ebd20b3b9eeb1abd70c09a037a69b091b538cae128ec54deb6341b2\",0,\"number_theory_104732\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005604.lean\",\"6d52c480adb68e949063b17213a982aa29dd91ed8fb17205cf0f749675911840\",0,\"number_theory_613455\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001120-0000-efb9a907e6557e5e.parquet",
-      "sha256": "efb9a907e6557e5e6bfed5e1d376df18981383fb3846d6a43d99b95fa8634888",
       "bytes": 267560,
+      "path": "data/train/p35/numina-001120-0000-efb9a907e6557e5e.parquet",
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       "rows": 5,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
+      "sha256": "efb9a907e6557e5e6bfed5e1d376df18981383fb3846d6a43d99b95fa8634888"
     },
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-      "path": "data/train/numina-001120-0001-1eca8fb514f257fd.parquet",
-      "sha256": "1eca8fb514f257fd837fa3eda1a86b1cb1228706f7721064cbdd4991668cfb57",
       "bytes": 958434,
+      "path": "data/train/p35/numina-001120-0001-1eca8fb514f257fd.parquet",
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       "rows": 28,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
+      "sha256": "1eca8fb514f257fd837fa3eda1a86b1cb1228706f7721064cbdd4991668cfb57"
     },
     {
-      "path": "data/train/numina-001120-0002-4a1abc77ae3ba880.parquet",
-      "sha256": "4a1abc77ae3ba880986dc2e65ce60d9cf31990850a2348e85b5e5548cc796292",
       "bytes": 885162,
+      "path": "data/train/p35/numina-001120-0002-4a1abc77ae3ba880.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 40,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
+      "sha256": "4a1abc77ae3ba880986dc2e65ce60d9cf31990850a2348e85b5e5548cc796292"
     },
     {
-      "path": "data/train/numina-001120-0003-2e091949e5a1f62b.parquet",
-      "sha256": "2e091949e5a1f62b3bb0cd7882827983c94511cfafb13ec7416673da266ca3c1",
       "bytes": 149313,
+      "path": "data/train/p35/numina-001120-0003-2e091949e5a1f62b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
+      "sha256": "2e091949e5a1f62b3bb0cd7882827983c94511cfafb13ec7416673da266ca3c1"
     }
-  ],
-  "proof_ids": [
-    "numina:7e7c02f3-96a1-517c-84be-d8f728d8bbf8",
-    "numina:8501bc66-7862-55f2-81d2-85323f85e096",
-    "numina:9a76e23c-4202-5c4a-a5da-0d3f17501eed",
-    "numina:e3087831-d6f2-5067-8cde-cfab7eb9560a",
-    "numina:f63d0bd8-4bb5-5740-9bad-8181d2cbdda2"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005600.lean\",\"5855475323d4369ddbe6cf666358f9342be2b02852f30366d1f863ceb75149b0\",0,\"algebra_23800\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005601.lean\",\"7fe2809a0d5953fd675614c26698d8ebe6223535c52b2f1d21ab25476e7eac66\",0,\"inequalities_146718\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005602.lean\",\"fcf392d8b0468635bd79c8433dc8692f62581fd6816e97b512a736034c657584\",0,\"algebra_4665\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005603.lean\",\"7c9456d25ebd20b3b9eeb1abd70c09a037a69b091b538cae128ec54deb6341b2\",0,\"number_theory_104732\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005604.lean\",\"6d52c480adb68e949063b17213a982aa29dd91ed8fb17205cf0f749675911840\",0,\"number_theory_613455\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001121.json b/manifests/batches/numina/001121.json
index 745d1da26628374db4eea30a1190b526b76091d0..80332031aad0b75fb4a6bd9f71361fc9877fbc2a 100644
--- a/manifests/batches/numina/001121.json
+++ b/manifests/batches/numina/001121.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001121",
   "batch_fingerprint": "969af48015e6ce3a22463f16cf5c7b938d7b888931403a35c14f218874189dfb",
   "evidence": {
@@ -51,22 +50,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001121-0000-d29663a8713112ab.parquet",
-      "sha256": "d29663a8713112ab12e04199c0046475c021879b413a989af6cd02ca2f28a21d",
-      "bytes": 744219,
-      "rows": 76,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    },
-    {
-      "path": "data/train/numina-001121-0001-d4362ec6232c2ef1.parquet",
-      "sha256": "d4362ec6232c2ef109ef9b691da6025222a050990e65df8a1ce5e7a3fdab890e",
-      "bytes": 101897,
-      "rows": 14,
-      "revision": "1426f15e0d5b8b6fa3dd64f88edd216a2f847c64"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:047f9aa7-ab91-5766-b9f3-85462b24a4ea",
     "numina:340b28b7-bdfc-5bdf-aca8-74f2e7f837a5",
@@ -78,5 +62,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005607.lean\",\"986f7e3fe12614cdbbc9c809975265189de43a6d2c6d81ae83232ef44820ddbf\",0,\"algebra_98705\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005608.lean\",\"ca3ebdc6c684b2fee113325684849a2bfee8342109b6f2cfa3f3b939045311d6\",0,\"calculus_611206\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005609.lean\",\"7c9b31a305f0c9e832c8a17b80dd5d25e439c097b0c49a86726487f8ed570299\",0,\"algebra_23630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 744219,
+      "path": "data/train/pff/numina-001121-0000-d29663a8713112ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "d29663a8713112ab12e04199c0046475c021879b413a989af6cd02ca2f28a21d"
+    },
+    {
+      "bytes": 101897,
+      "path": "data/train/pff/numina-001121-0001-d4362ec6232c2ef1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d4362ec6232c2ef109ef9b691da6025222a050990e65df8a1ce5e7a3fdab890e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001122.json b/manifests/batches/numina/001122.json
index 4211a32cc0cfe152f676d3cb126b30288bc89080..017852fa2fec20105b8145f77b1a97fce9d94867 100644
--- a/manifests/batches/numina/001122.json
+++ b/manifests/batches/numina/001122.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001122",
   "batch_fingerprint": "8e6c7237d390b516271dd2d7f354ea844f7684e78624be5f69467f409bd1a9fe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001122-0000-10bc6c3cd8b47b07.parquet",
-      "sha256": "10bc6c3cd8b47b07b5818d45977799a5f0f842fff5f77f122604bfc826e0f9e3",
-      "bytes": 521253,
-      "rows": 33,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/dev/numina-001122-0000-65f5a5c684c67f80.parquet",
-      "sha256": "65f5a5c684c67f807bf5686ec6faf49ff3e4a5ac7516e61b39378677ae18ac89",
-      "bytes": 283301,
-      "rows": 17,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:40e30f1c-7a5a-50c8-9f11-d2b15c2a6583",
     "numina:543019c1-52e9-516a-8c06-2c35669c90fe",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005612.lean\",\"5ff6f91d45603a06e7afc8ea24415f8e79fe73b06b22924d940c9e752672a454\",0,\"algebra_611401\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005613.lean\",\"a835cac19a9a55bd6f85dfc0c7950269a0fdcf61fc201c890adfab172011a08b\",0,\"AIME_Algebra_724\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005614.lean\",\"d3a67353eafc7f4b3453ff093792c6f546baf56c3dde03c0e687b021e0ec80cd\",0,\"algebra_231721\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521253,
+      "path": "data/train/pc4/numina-001122-0000-10bc6c3cd8b47b07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "10bc6c3cd8b47b07b5818d45977799a5f0f842fff5f77f122604bfc826e0f9e3"
+    },
+    {
+      "bytes": 283301,
+      "path": "data/dev/pc4/numina-001122-0000-65f5a5c684c67f80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "65f5a5c684c67f807bf5686ec6faf49ff3e4a5ac7516e61b39378677ae18ac89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001123.json b/manifests/batches/numina/001123.json
index 2dac85d813516bfd55d1639a0debe7e3affeee7c..ae5a17e7084252de22d9c893f3729ea3e3ba7595 100644
--- a/manifests/batches/numina/001123.json
+++ b/manifests/batches/numina/001123.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001123",
   "batch_fingerprint": "7445eb0d7db819c13fec66af67d799122594d90325db47acbcb39a4cf22b69f5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001123-0000-36d9c6570047a418.parquet",
-      "sha256": "36d9c6570047a4181f79bf25008dfed0eabf8e2c866fb771c80d0cab5a012099",
-      "bytes": 379812,
-      "rows": 25,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/train/numina-001123-0001-928055c345e48baf.parquet",
-      "sha256": "928055c345e48baf9f7824dc7945b6c62ca12ff82cd2806c933a0bed0bd2ae98",
-      "bytes": 1135919,
-      "rows": 1,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    },
-    {
-      "path": "data/train/numina-001123-0002-2f05e60b3119159f.parquet",
-      "sha256": "2f05e60b3119159f22611baf191e73d69810b1e504f6b50027eab3ab7d33eac4",
-      "bytes": 538831,
-      "rows": 16,
-      "revision": "4c7c7d4bd4f312edd258885acd07c64d6b8490c8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a0c48ab-09ef-5e77-b347-bc59f3d97072",
     "numina:78e472ed-1c47-5d0a-aa7d-3b8e4abafafa",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005617.lean\",\"4bdf07e4e2bb703996f9e8ac6380006ae1730455244ea526fcea8ed1963790cf\",0,\"number_theory_24224\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005618.lean\",\"8a28994a4ecffe9ba7ef4cd642303ce47e4ab3154e6c04e6029e10c0bcdc2f52\",0,\"number_Theory_111409\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005619.lean\",\"269077851ec48ff1359ed696509225b7f5f52e7e57c48fb2f88ffe066704c539\",0,\"algebra_49900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379812,
+      "path": "data/train/p05/numina-001123-0000-36d9c6570047a418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "36d9c6570047a4181f79bf25008dfed0eabf8e2c866fb771c80d0cab5a012099"
+    },
+    {
+      "bytes": 1135919,
+      "path": "data/train/p05/numina-001123-0001-928055c345e48baf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "928055c345e48baf9f7824dc7945b6c62ca12ff82cd2806c933a0bed0bd2ae98"
+    },
+    {
+      "bytes": 538831,
+      "path": "data/train/p05/numina-001123-0002-2f05e60b3119159f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2f05e60b3119159f22611baf191e73d69810b1e504f6b50027eab3ab7d33eac4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001124.json b/manifests/batches/numina/001124.json
index 12836e1959918c8d17805e20960e7bf97ea2ed93..78cf181c11cd523c51731abdc66c28670132ab35 100644
--- a/manifests/batches/numina/001124.json
+++ b/manifests/batches/numina/001124.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001124",
   "batch_fingerprint": "1b5a33c6d4c2e94c070ba7ef819ab0139d4bf7f88ae4d3e6f274661ab3db12b2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001124-0000-9932860f4aa3c534.parquet",
-      "sha256": "9932860f4aa3c534d3d32b8cfa32c4663d27e22819a69f1098845b9f1a9b5ce6",
-      "bytes": 496224,
-      "rows": 58,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02155737-f1a1-58da-962a-e6c781b471d2",
     "numina:3fe8fa8e-463d-5e38-8e29-9161af3691ea",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005622.lean\",\"b363627e4737fcddae3560f68e5d131ea331683377df04258d675a8ecf7d5536\",0,\"number_theory_611302\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005623.lean\",\"f0f053843ad7c1d8fc32d81ed7e2d9701c5aa0b61e83a2350d17cf789b31c798\",0,\"number_theory_100932\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005624.lean\",\"cd9f9dfd6b09f1ec2ffd13cd681fc30b450f4983894ae7c5f35fa10331a1b362\",0,\"number_theory_233621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 496224,
+      "path": "data/train/p3e/numina-001124-0000-9932860f4aa3c534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "9932860f4aa3c534d3d32b8cfa32c4663d27e22819a69f1098845b9f1a9b5ce6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001125.json b/manifests/batches/numina/001125.json
index 083ed1dbc7ba83949f66ba44bb57165a0cde1f75..a5acb2ad4391030bfacbe7796ce3fab3fc0d91ab 100644
--- a/manifests/batches/numina/001125.json
+++ b/manifests/batches/numina/001125.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001125",
   "batch_fingerprint": "d620272ebe7cd57c97e5c2ba6ec8772764c468bb52203b93b6703a7abe0d7c5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001125-0000-bb254d1d2969b6cb.parquet",
-      "sha256": "bb254d1d2969b6cbda0b2c76c22b5b196101cba37670ed4767745ab37af0c512",
-      "bytes": 666051,
-      "rows": 23,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/train/numina-001125-0001-a0c06addd56ca3a8.parquet",
-      "sha256": "a0c06addd56ca3a8978047af756d7b9c77ff06fb2fa64a13329a2855750a96f4",
-      "bytes": 101285,
-      "rows": 7,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36bb6af2-fb18-5279-918f-d4ff6ad177be",
     "numina:426ae28a-7ab0-598d-a275-ec533835487e",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005627.lean\",\"d2e2cc96865dfaacc6fb548bed1cefdd008af6601110862b5b1c4240d6b086cf\",0,\"algebra_236216\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005628.lean\",\"b6df43f16d931b741e0902e75bc0cba505213e548beaf9aa20dc7ea617d072e4\",0,\"algebra_1809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005629.lean\",\"01839904ea2e1e51dd351dda48cd5ad14cfd43e6a2154719d225b06e1ab6f690\",0,\"algebra_6356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 666051,
+      "path": "data/train/p49/numina-001125-0000-bb254d1d2969b6cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "bb254d1d2969b6cbda0b2c76c22b5b196101cba37670ed4767745ab37af0c512"
+    },
+    {
+      "bytes": 101285,
+      "path": "data/train/p49/numina-001125-0001-a0c06addd56ca3a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a0c06addd56ca3a8978047af756d7b9c77ff06fb2fa64a13329a2855750a96f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001126.json b/manifests/batches/numina/001126.json
index 6723c3aca513700d14a66d1abf446821891bcdc5..aba33e2be4c4203c57c5c8e395466ca7aa6b2745 100644
--- a/manifests/batches/numina/001126.json
+++ b/manifests/batches/numina/001126.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001126",
   "batch_fingerprint": "657ea2b46378dcd157a6374b654039bdfe61bb8ad272f3601b89e5a6fded5ed5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001126-0000-002c2647bab72930.parquet",
-      "sha256": "002c2647bab72930ccf15e499a98f0502a56fc24e1f9176d6381473ca6ae9df8",
-      "bytes": 371144,
-      "rows": 50,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:ae1d2495-c660-5c94-bfb8-8e448e5fcb33",
     "numina:cf70eb2f-37b5-57bb-8bd8-cc7a1a8c91c4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005632.lean\",\"5cb6cd1b51801bffd6820d21c34800305d8260898bd80811494292379085468a\",0,\"number_theory_238395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005633.lean\",\"3a21a6ccf68b3a709e611cfc82a87faf981a9841afb0b54520416975d4d32bd9\",0,\"inequalities_613886\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005634.lean\",\"a794bc60a50ded5713df220f40eb36bd671059cc15c1e3375660ec8d1d7da3e5\",0,\"algebra_232473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371144,
+      "path": "data/train/p3f/numina-001126-0000-002c2647bab72930.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "002c2647bab72930ccf15e499a98f0502a56fc24e1f9176d6381473ca6ae9df8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001127.json b/manifests/batches/numina/001127.json
index 6a22d7bc6689c815580aa671986877183095c453..ab29f125d3f5cf54e9255ef19f967d67832c0ef5 100644
--- a/manifests/batches/numina/001127.json
+++ b/manifests/batches/numina/001127.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001127",
   "batch_fingerprint": "7e737b856af412ed80b28ecbc4fd7326521156537db6b2aef80558a239b9b32b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001127-0000-6beba90693e92074.parquet",
-      "sha256": "6beba90693e92074a10aa98d104dc55a0862c647f523dcb1b76f023b75ba0748",
-      "bytes": 355803,
-      "rows": 32,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/internal_test/numina-001127-0000-f770e20e7287311f.parquet",
-      "sha256": "f770e20e7287311f61a17eed91e2a0a7eb51e374f3cbe01f132e120048b0b79e",
-      "bytes": 69821,
-      "rows": 6,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13e56290-c6fc-5012-b94f-5a34ac780eb9",
     "numina:1414cef2-a767-533f-a099-1de6b7104c49",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005637.lean\",\"d038af238696b360852fce42440036c4a68adce49947a6c1208e3467d77acb63\",0,\"algebra_612930\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005638.lean\",\"df7dc03bd9e601574334faff96aa261829cce03b93ba2b10cb760f56980e9d91\",2,\"algebra_111373\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005639.lean\",\"c64ee094d5e7f84c835467699745af787385efc7729250fc52a1124000ea3850\",0,\"algebra_232778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355803,
+      "path": "data/train/pfa/numina-001127-0000-6beba90693e92074.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "6beba90693e92074a10aa98d104dc55a0862c647f523dcb1b76f023b75ba0748"
+    },
+    {
+      "bytes": 69821,
+      "path": "data/internal_test/pfa/numina-001127-0000-f770e20e7287311f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f770e20e7287311f61a17eed91e2a0a7eb51e374f3cbe01f132e120048b0b79e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001128.json b/manifests/batches/numina/001128.json
index e7c191758659f3f9c1f1a4b38a46616a47ed4d6f..15fe186f22964ea14e31928ec9fd4dd22c2d870d 100644
--- a/manifests/batches/numina/001128.json
+++ b/manifests/batches/numina/001128.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001128",
   "batch_fingerprint": "d2a784e8f9ea310b6da8ab8e1fa1373671d94383fa0a416bac13133ea49d6765",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001128-0000-2ffa90a06b35687a.parquet",
-      "sha256": "2ffa90a06b35687a37bdce7812711b2c898a65380bcc898a7ad222b61a1cd4e7",
-      "bytes": 324976,
-      "rows": 17,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    },
-    {
-      "path": "data/dev/numina-001128-0000-4d2202c2c875f6a3.parquet",
-      "sha256": "4d2202c2c875f6a33b54304e5e066b37569672d17f9774e7f96db63b61c466d6",
-      "bytes": 78535,
-      "rows": 9,
-      "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a680366-62b3-5457-a073-958bcc13a83c",
     "numina:b495146f-4f13-58ff-8217-848e45da0408",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005642.lean\",\"2d3aa9d625abc43f70d697197fa46f42b5e629f9a20a3d1e5e6aa7cfc5452025\",0,\"inequalities_24502\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005643.lean\",\"933533324840454779bf04d03f316f37934b2a39278015cb64eda6adf738ae25\",0,\"number_theory_106263\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005644.lean\",\"ce941645268fc1ec8639bf35423d0210d59c6d20ffef2ba1bda9e127181aa8ec\",0,\"algebra_231766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324976,
+      "path": "data/train/p60/numina-001128-0000-2ffa90a06b35687a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2ffa90a06b35687a37bdce7812711b2c898a65380bcc898a7ad222b61a1cd4e7"
+    },
+    {
+      "bytes": 78535,
+      "path": "data/dev/p60/numina-001128-0000-4d2202c2c875f6a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4d2202c2c875f6a33b54304e5e066b37569672d17f9774e7f96db63b61c466d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001129.json b/manifests/batches/numina/001129.json
index 5fa322b72b32d953674d9330a29e8cfba529c7b3..253fdc3bfe1c0579a0cc0b7b454b64274e4e225c 100644
--- a/manifests/batches/numina/001129.json
+++ b/manifests/batches/numina/001129.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001129",
   "batch_fingerprint": "c27e90a41e65a91aa3f980b196d106e717fa7f3fa7e1d683206465ce4a2c444f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001129-0000-e47c27202092b223.parquet",
-      "sha256": "e47c27202092b2238c9ca8645b48fdbfb287f6b8b3fe8a974d3ddb8f91b5bc25",
-      "bytes": 528914,
-      "rows": 17,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/train/numina-001129-0001-27cc9cf0d4189ea0.parquet",
-      "sha256": "27cc9cf0d4189ea0e2e0102a5345bf6278b50c848b45513dde208d8253be4838",
-      "bytes": 482592,
-      "rows": 14,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    },
-    {
-      "path": "data/internal_test/numina-001129-0000-5d7b7537fde9e847.parquet",
-      "sha256": "5d7b7537fde9e847841446532fa538acf5f39ba5411e8e06f27abfff0baa9ce1",
-      "bytes": 86393,
-      "rows": 3,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ea504a0-affe-592a-951c-2f23a9eb2056",
     "numina:264f6f98-68b5-594d-8926-9536a49bfba3",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005647.lean\",\"18835e87c0baca62764f278d12b7261f0e6b01ba26c09adbc61aa538a2b2c940\",0,\"number_theory_233634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005648.lean\",\"12ff1f2bbc35fb7bd46a97cb8c1b6231dcb2386b7739189ded82b86518c814b7\",0,\"inequalities_107623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005649.lean\",\"2d00dc82d66c2ba8e7276549bf1f9c0a57a810453f89e163c30131ea9f74d083\",0,\"number_theory_616097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528914,
+      "path": "data/train/pdb/numina-001129-0000-e47c27202092b223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e47c27202092b2238c9ca8645b48fdbfb287f6b8b3fe8a974d3ddb8f91b5bc25"
+    },
+    {
+      "bytes": 482592,
+      "path": "data/train/pdb/numina-001129-0001-27cc9cf0d4189ea0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "27cc9cf0d4189ea0e2e0102a5345bf6278b50c848b45513dde208d8253be4838"
+    },
+    {
+      "bytes": 86393,
+      "path": "data/internal_test/pdb/numina-001129-0000-5d7b7537fde9e847.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5d7b7537fde9e847841446532fa538acf5f39ba5411e8e06f27abfff0baa9ce1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001130.json b/manifests/batches/numina/001130.json
index dd9d642b5fc7cf84e3b89250d90992a49392ca7f..b3ea6d8c435534f48c3dafd0de841715a69316a2 100644
--- a/manifests/batches/numina/001130.json
+++ b/manifests/batches/numina/001130.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001130",
   "batch_fingerprint": "2b8d647a681b7b9bf8bc88dcccce8d76ea380dc96062ee03bb8a5ec6839d574a",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3a8baf4e-6fbc-59c8-9b9e-7e483f8cbd7c",
+    "numina:3ec30f20-a0c3-5ef2-98b1-bf1a215eed17",
+    "numina:4399cf76-6b93-58a2-97ac-ef57eb88b098",
+    "numina:f33b06f5-5f0d-55dc-9d54-7f57054a1e1d",
+    "numina:f88d1469-5556-5b12-abec-818b6abf3a76"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005650.lean\",\"499781b57fae21c9c8f6d5a3a98b53fdbf1ac3946729e78aadc428808dade6fe\",0,\"algebra_24155\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005651.lean\",\"4b9a6f4fbe12ca5effb21882dce0c6800a80e6dcb526322040f2216de9d1486c\",0,\"algebra_106170\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005652.lean\",\"4bdc0aa013b1a40e79d6aa0bcadb58f309790e2492be9aa4def380a776ecdbae\",0,\"number_theory_233966\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005653.lean\",\"f1f5debb1888c5274ab01b7640e97efd26af5ad611c2aad7ea9662368d01aed7\",0,\"algebra_1144\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005654.lean\",\"14b145504e07bdb14ce6e3c1f421431c2e1ca312a1a59fb08ce92d2e696a5a30\",1,\"number_theory_253981\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001130-0000-ca1a07d352232743.parquet",
-      "sha256": "ca1a07d3522327437c3bf0733b409942aa9865adae060b640b95012ae8bae21e",
       "bytes": 522712,
+      "path": "data/train/pd1/numina-001130-0000-ca1a07d352232743.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "ca1a07d3522327437c3bf0733b409942aa9865adae060b640b95012ae8bae21e"
     },
     {
-      "path": "data/train/numina-001130-0001-3fc38e1bc9c562a4.parquet",
-      "sha256": "3fc38e1bc9c562a44d3b2df557db08da650b6612a0783ec5cb55991e8bfb2c57",
       "bytes": 287944,
+      "path": "data/train/pd1/numina-001130-0001-3fc38e1bc9c562a4.parquet",
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       "rows": 11,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "3fc38e1bc9c562a44d3b2df557db08da650b6612a0783ec5cb55991e8bfb2c57"
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     {
-      "path": "data/train/numina-001130-0002-898e201b600432a0.parquet",
-      "sha256": "898e201b600432a06801fb1e549f7e42e4683b84dfa381f96f1fbaef11b71630",
       "bytes": 630904,
+      "path": "data/train/pd1/numina-001130-0002-898e201b600432a0.parquet",
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       "rows": 6,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "898e201b600432a06801fb1e549f7e42e4683b84dfa381f96f1fbaef11b71630"
     },
     {
-      "path": "data/train/numina-001130-0003-aad4ffa20dbc469d.parquet",
-      "sha256": "aad4ffa20dbc469d9470c3e99c66bbfd6fb3261e21a4747a5d65382086e5895a",
       "bytes": 510151,
+      "path": "data/train/pd1/numina-001130-0003-aad4ffa20dbc469d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "aad4ffa20dbc469d9470c3e99c66bbfd6fb3261e21a4747a5d65382086e5895a"
     }
-  ],
-  "proof_ids": [
-    "numina:3a8baf4e-6fbc-59c8-9b9e-7e483f8cbd7c",
-    "numina:3ec30f20-a0c3-5ef2-98b1-bf1a215eed17",
-    "numina:4399cf76-6b93-58a2-97ac-ef57eb88b098",
-    "numina:f33b06f5-5f0d-55dc-9d54-7f57054a1e1d",
-    "numina:f88d1469-5556-5b12-abec-818b6abf3a76"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005650.lean\",\"499781b57fae21c9c8f6d5a3a98b53fdbf1ac3946729e78aadc428808dade6fe\",0,\"algebra_24155\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005651.lean\",\"4b9a6f4fbe12ca5effb21882dce0c6800a80e6dcb526322040f2216de9d1486c\",0,\"algebra_106170\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005652.lean\",\"4bdc0aa013b1a40e79d6aa0bcadb58f309790e2492be9aa4def380a776ecdbae\",0,\"number_theory_233966\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005653.lean\",\"f1f5debb1888c5274ab01b7640e97efd26af5ad611c2aad7ea9662368d01aed7\",0,\"algebra_1144\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005654.lean\",\"14b145504e07bdb14ce6e3c1f421431c2e1ca312a1a59fb08ce92d2e696a5a30\",1,\"number_theory_253981\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001131.json b/manifests/batches/numina/001131.json
index e0f1ce06df4693d2530110fa951a21c0dbd832d0..956dc40fa9a50983ff87b35fbcfa73d9769bb35c 100644
--- a/manifests/batches/numina/001131.json
+++ b/manifests/batches/numina/001131.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001131",
   "batch_fingerprint": "c3bf4e9eb1c5579d0bf2b9f7fc4925e0c69759a26ef0fa04cd60145d06d086f3",
   "evidence": {
@@ -18,62 +17,63 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:25bb0f39-b48a-56ee-8145-8eff2ea560d6",
+    "numina:8a45bd25-ae39-5254-a4c7-965462adfa8a",
+    "numina:9ae78be8-33a7-51ba-9bbd-9fc81ff35b6e",
+    "numina:a7fba134-9aa7-52d3-a268-4e626798af47",
+    "numina:b6c77f59-5d20-5e74-9cec-54b01c5280e0"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005655.lean\",\"da27ac3d3d776dccdbbff0d7a9b3adc99b932a65ef9168cf17d3ff61c22d9f0c\",0,\"inequalities_235834\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005656.lean\",\"a29801d33086bab163081f93ecc86fa5260d6fea267dda7199b6f1a3bed47fc4\",0,\"inequalities_7905\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005657.lean\",\"77d1e1b64520c68f721f323db39f7d44120c121ffcb977bca70b0831506e3ced\",0,\"algebra_252361\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005658.lean\",\"668eb8fb095571901b2a814a724da0ac6ca489761e32e046916bb36626d04eb0\",0,\"algebra_277342\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005659.lean\",\"8dcddcea93e331af4bb9a64df5276d039d0030ec3ebc74ec280bf0272780676e\",0,\"algebra_12219\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001131-0000-03277c7602046428.parquet",
-      "sha256": "03277c76020464288b205b5d3b31395a9550e14a743c6de2d0077fca469e6559",
       "bytes": 175677,
+      "path": "data/train/pc0/numina-001131-0000-03277c7602046428.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
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     },
     {
-      "path": "data/dev/numina-001131-0000-3e88277336463b6f.parquet",
-      "sha256": "3e88277336463b6f1b784b4897a7a175c9fbe06415709732bd0e2eb9f2abd1f3",
       "bytes": 850109,
+      "path": "data/dev/pc0/numina-001131-0000-3e88277336463b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 47,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "3e88277336463b6f1b784b4897a7a175c9fbe06415709732bd0e2eb9f2abd1f3"
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-      "path": "data/dev/numina-001131-0001-522580b776737f58.parquet",
-      "sha256": "522580b776737f58ddbae21695ad5e901cf0cca7ae4c7de06333e2d2d7321ea6",
       "bytes": 931036,
+      "path": "data/dev/pc0/numina-001131-0001-522580b776737f58.parquet",
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       "rows": 34,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "522580b776737f58ddbae21695ad5e901cf0cca7ae4c7de06333e2d2d7321ea6"
     },
     {
-      "path": "data/dev/numina-001131-0002-3c0dfdfadaa52720.parquet",
-      "sha256": "3c0dfdfadaa52720a20f85d6fc23d744e52c6b5bb5aa45c255ea2860254f6ba5",
       "bytes": 910097,
+      "path": "data/dev/pc0/numina-001131-0002-3c0dfdfadaa52720.parquet",
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       "rows": 36,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "3c0dfdfadaa52720a20f85d6fc23d744e52c6b5bb5aa45c255ea2860254f6ba5"
     },
     {
-      "path": "data/dev/numina-001131-0003-04f2ad77ab657810.parquet",
-      "sha256": "04f2ad77ab6578104ad0011e1fbe09329ac48346d99dfa63493527b7202c9ecc",
       "bytes": 165887,
+      "path": "data/dev/pc0/numina-001131-0003-04f2ad77ab657810.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "04f2ad77ab6578104ad0011e1fbe09329ac48346d99dfa63493527b7202c9ecc"
     },
     {
-      "path": "data/internal_test/numina-001131-0000-9be8a60257be21e8.parquet",
-      "sha256": "9be8a60257be21e8c42d88da9ee6e1008a5a56f696365b324276577677085acc",
       "bytes": 105425,
+      "path": "data/internal_test/pc0/numina-001131-0000-9be8a60257be21e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "b5ad3b855edbb67a2e23f4e8fbdbb65aa1e8d278"
+      "sha256": "9be8a60257be21e8c42d88da9ee6e1008a5a56f696365b324276577677085acc"
     }
-  ],
-  "proof_ids": [
-    "numina:25bb0f39-b48a-56ee-8145-8eff2ea560d6",
-    "numina:8a45bd25-ae39-5254-a4c7-965462adfa8a",
-    "numina:9ae78be8-33a7-51ba-9bbd-9fc81ff35b6e",
-    "numina:a7fba134-9aa7-52d3-a268-4e626798af47",
-    "numina:b6c77f59-5d20-5e74-9cec-54b01c5280e0"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005655.lean\",\"da27ac3d3d776dccdbbff0d7a9b3adc99b932a65ef9168cf17d3ff61c22d9f0c\",0,\"inequalities_235834\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005656.lean\",\"a29801d33086bab163081f93ecc86fa5260d6fea267dda7199b6f1a3bed47fc4\",0,\"inequalities_7905\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005657.lean\",\"77d1e1b64520c68f721f323db39f7d44120c121ffcb977bca70b0831506e3ced\",0,\"algebra_252361\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005658.lean\",\"668eb8fb095571901b2a814a724da0ac6ca489761e32e046916bb36626d04eb0\",0,\"algebra_277342\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005659.lean\",\"8dcddcea93e331af4bb9a64df5276d039d0030ec3ebc74ec280bf0272780676e\",0,\"algebra_12219\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001132.json b/manifests/batches/numina/001132.json
index dccce30b0ae97bf3c33c79a9c060b5eae455cef5..17e88809b75db643eccd999f9d3f03cab7cf9092 100644
--- a/manifests/batches/numina/001132.json
+++ b/manifests/batches/numina/001132.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001132",
   "batch_fingerprint": "fa5b6b1da0a523cf274ce41290f67e9eb6dc834e20931322be97b074e23b019c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001132-0000-7f88f5410e7dae5c.parquet",
-      "sha256": "7f88f5410e7dae5c9740c63ad5385f8466624d49b58a461eb4c5b4f2365c7f47",
-      "bytes": 360532,
-      "rows": 20,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/numina-001132-0000-54a61882849fcbdb.parquet",
-      "sha256": "54a61882849fcbdb0407b8de068b1d9213678ee359d1ff81aff3f288ed528ab7",
-      "bytes": 159887,
-      "rows": 30,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31491992-8779-50c0-b1a4-8257d4d34d08",
     "numina:4036a456-c45b-5967-9449-06e225b56fe4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005662.lean\",\"f8bbbc38b7aec3a1b1230aa3b1ecfae36ea949106bfb96efa5b2ed87c1f57ca5\",0,\"algebra_238122\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005663.lean\",\"419c7ab361e1ddd73f08f4e95f2853edf71fdc55dc19983ec03e04a1e36cfd10\",0,\"number_theory_611311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005664.lean\",\"f02cdc57598d6a1c46c6ef07c3febe5c8515024f6d64e674832d7a2cd41c2253\",0,\"other_24042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360532,
+      "path": "data/train/pe4/numina-001132-0000-7f88f5410e7dae5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7f88f5410e7dae5c9740c63ad5385f8466624d49b58a461eb4c5b4f2365c7f47"
+    },
+    {
+      "bytes": 159887,
+      "path": "data/internal_test/pe4/numina-001132-0000-54a61882849fcbdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "54a61882849fcbdb0407b8de068b1d9213678ee359d1ff81aff3f288ed528ab7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001133.json b/manifests/batches/numina/001133.json
index 544b90d45a46216e76d8c7f90f9d5605852daaf2..dfc913beaa9aff48d2e5fef63c66f497c4faec04 100644
--- a/manifests/batches/numina/001133.json
+++ b/manifests/batches/numina/001133.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001133",
   "batch_fingerprint": "12756c20b9be07d5ea13323e5febdbcc7547112b1be18e473fc3643162274019",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001133-0000-b8c2f3bb6fd812ec.parquet",
-      "sha256": "b8c2f3bb6fd812ec4b2164c25d6d8cff16736ba7ffa096593dc77b036a1bcc07",
-      "bytes": 253498,
-      "rows": 15,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/dev/numina-001133-0000-292b6292b84db72c.parquet",
-      "sha256": "292b6292b84db72c0e6988ba153461706dfab9bc3f6281434e271a03ba7f98e7",
-      "bytes": 341805,
-      "rows": 12,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a1a972c-1a23-5a34-9ed2-a7a1c1725e93",
     "numina:1bdc73f6-c155-529e-a915-a983c89016e3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005667.lean\",\"dda734de219d3ffb62b67fec370884d9408683693a75a22143d3b76ba859e46a\",0,\"algebra_107261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005668.lean\",\"06a6d869d488171e02b6898248369c216e8c8bbc3ec33357fc46ffb6c83b9123\",0,\"number_theory_131183\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005669.lean\",\"2cc302c03cf8acdad61771fd4c4f58aece1d58f3520c8fde8eaffc2d7c54778c\",0,\"algebra_239818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253498,
+      "path": "data/train/pe9/numina-001133-0000-b8c2f3bb6fd812ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b8c2f3bb6fd812ec4b2164c25d6d8cff16736ba7ffa096593dc77b036a1bcc07"
+    },
+    {
+      "bytes": 341805,
+      "path": "data/dev/pe9/numina-001133-0000-292b6292b84db72c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "292b6292b84db72c0e6988ba153461706dfab9bc3f6281434e271a03ba7f98e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001134.json b/manifests/batches/numina/001134.json
index 85e115d3cf8ccabfc4b6257489af809426fa7660..9f3abfaeb3cdbff145e9e3839bef9090af7c268a 100644
--- a/manifests/batches/numina/001134.json
+++ b/manifests/batches/numina/001134.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001134",
   "batch_fingerprint": "ada5a1c788c426d4b403b55fed1b07ad4203354c4bcce724ae489c6f62098a9e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001134-0000-72fedb87d677b321.parquet",
-      "sha256": "72fedb87d677b321cea9b35bc5a98fd22dcdcd4449dd9b88ce04061433df5503",
-      "bytes": 1116475,
-      "rows": 25,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    },
-    {
-      "path": "data/internal_test/numina-001134-0000-d574fcf0cd0e4eb3.parquet",
-      "sha256": "d574fcf0cd0e4eb34968970ac268f7077dd528f8599d99845d2d4865311132eb",
-      "bytes": 160101,
-      "rows": 17,
-      "revision": "3d87a49bb9ffaf963ee11409c23203dcefd1c7ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39f4d368-388c-542f-bceb-d5762ada51fe",
     "numina:5d79e9dd-8e6d-5ce5-9104-6a24c39adbc1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005672.lean\",\"34b184929ce67ef7ab5efcfdc3d76164323754dc403dce6556ce2998d81f229f\",0,\"algebra_8675\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005673.lean\",\"7a8b1c0d9f960b9476b58fca8b7bf49919bebe3b1950e57239f8dccf5bac70ee\",0,\"number_theory_24231\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005674.lean\",\"3f110440cfd622d2f87a8a1e448a387629d2c0316bf32603c0cdfdaf6b2f396e\",0,\"number_theory_303704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1116475,
+      "path": "data/train/p53/numina-001134-0000-72fedb87d677b321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "72fedb87d677b321cea9b35bc5a98fd22dcdcd4449dd9b88ce04061433df5503"
+    },
+    {
+      "bytes": 160101,
+      "path": "data/internal_test/p53/numina-001134-0000-d574fcf0cd0e4eb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d574fcf0cd0e4eb34968970ac268f7077dd528f8599d99845d2d4865311132eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001135.json b/manifests/batches/numina/001135.json
index d8ef4d0b5df2b55e5bdd54a1e25e3036fc927f90..7c7388b2e60dc488c2650fa3373ebc59d5ee5ddc 100644
--- a/manifests/batches/numina/001135.json
+++ b/manifests/batches/numina/001135.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001135",
   "batch_fingerprint": "624cc483cec70b15b730db56a33fad45d01f4e22925f1802365b0da77282889c",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:233b3aff-22dc-5b43-91e6-1f7155f198be",
+    "numina:4e536f7c-7673-5e74-8c85-039e6aa9c468",
+    "numina:55285261-a18b-5990-9a85-455cd306c779",
+    "numina:e2689a21-67f7-5303-a19b-dd8ddb23b4a7",
+    "numina:f7637b05-b7d0-5a22-93e3-20dd100c49ac"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005675.lean\",\"e8db1e3face77dc73ddd54f7c8ea4f7f07ea8c5bfafe798a2f3ac84395cabb88\",0,\"inequalities_619152\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005676.lean\",\"eb5721201ba34b13fe53879662d37045118c80510f718da52147e74ab56d4b80\",0,\"number_theory_24412\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005677.lean\",\"a6c85bcc0d9d0aa63b1dc68110d3390dc40856b096a303ceb2d4017caf0e3c4d\",0,\"algebra_235251\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005678.lean\",\"97e73b018e76355009ad214e99726105cb4fbcab0154df954402863a4a5d59bb\",0,\"number_theory_612314\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005679.lean\",\"277e424ebe12aa8d347fcdcff2f62e1e11405da7ac9af1f74efbabbf19f9f4bc\",0,\"Inequalities_239474\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001135-0000-cf5fd5c235738970.parquet",
-      "sha256": "cf5fd5c2357389706ef351258ab805bbbfbb9a98940f20b34dd45e7c42684d95",
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-      "path": "data/train/numina-001135-0002-478329d04f501d2d.parquet",
-      "sha256": "478329d04f501d2d861098d07727c022a3a372273a46a147d0c00843f9034661",
       "bytes": 158809,
+      "path": "data/train/p59/numina-001135-0002-478329d04f501d2d.parquet",
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       "rows": 30,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
+      "sha256": "478329d04f501d2d861098d07727c022a3a372273a46a147d0c00843f9034661"
     },
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-      "path": "data/internal_test/numina-001135-0000-2f7745090e5f70a0.parquet",
-      "sha256": "2f7745090e5f70a09a1be1a554d2873cce328b40d5543c40d375c9a304df94e4",
       "bytes": 180294,
+      "path": "data/internal_test/p59/numina-001135-0000-2f7745090e5f70a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
+      "sha256": "2f7745090e5f70a09a1be1a554d2873cce328b40d5543c40d375c9a304df94e4"
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     {
-      "path": "data/internal_test/numina-001135-0001-c5d55e3d0191cdde.parquet",
-      "sha256": "c5d55e3d0191cdde249eccffb978301a627bc2716ae5edffe547644be6d74a00",
       "bytes": 701762,
+      "path": "data/internal_test/p59/numina-001135-0001-c5d55e3d0191cdde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
+      "sha256": "c5d55e3d0191cdde249eccffb978301a627bc2716ae5edffe547644be6d74a00"
     }
-  ],
-  "proof_ids": [
-    "numina:233b3aff-22dc-5b43-91e6-1f7155f198be",
-    "numina:4e536f7c-7673-5e74-8c85-039e6aa9c468",
-    "numina:55285261-a18b-5990-9a85-455cd306c779",
-    "numina:e2689a21-67f7-5303-a19b-dd8ddb23b4a7",
-    "numina:f7637b05-b7d0-5a22-93e3-20dd100c49ac"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005675.lean\",\"e8db1e3face77dc73ddd54f7c8ea4f7f07ea8c5bfafe798a2f3ac84395cabb88\",0,\"inequalities_619152\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005676.lean\",\"eb5721201ba34b13fe53879662d37045118c80510f718da52147e74ab56d4b80\",0,\"number_theory_24412\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005677.lean\",\"a6c85bcc0d9d0aa63b1dc68110d3390dc40856b096a303ceb2d4017caf0e3c4d\",0,\"algebra_235251\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005678.lean\",\"97e73b018e76355009ad214e99726105cb4fbcab0154df954402863a4a5d59bb\",0,\"number_theory_612314\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005679.lean\",\"277e424ebe12aa8d347fcdcff2f62e1e11405da7ac9af1f74efbabbf19f9f4bc\",0,\"Inequalities_239474\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001136.json b/manifests/batches/numina/001136.json
index 0d3d64184cd5bea2d3ab170b26bb0f65b416ec89..31749601a235397462e1dd88c415ae14b5e2ec92 100644
--- a/manifests/batches/numina/001136.json
+++ b/manifests/batches/numina/001136.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001136",
   "batch_fingerprint": "31083cf7a702923a980682558fa989d0c8d2c76b0f5fa6cd45628a31c9858d45",
   "evidence": {
@@ -19,90 +18,91 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3ca19212-dc9e-5cc3-ba42-0d719a7d687e",
+    "numina:816811df-3bb0-59e3-95f8-9c6cf250aeae",
+    "numina:8fb04420-1654-5b00-8146-aaccffb4e34d",
+    "numina:bfa1c2c3-9763-57eb-bc0e-4a1798e51248",
+    "numina:f7fb8eb6-854d-5249-a9a4-a04afc5b7d17"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005680.lean\",\"6d925653a8c4f4d80c34f85df319e08ebe680f6f17da19877f56cf09b9a8df8f\",0,\"inequalities_24509\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005681.lean\",\"f3dcc5e525849240f2c080e41389d14cf3436026a638302bccfe6fab1a04d4c5\",0,\"algebra_624155\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005682.lean\",\"da77215a7ee9ae6d2e8fa9e42d2396f4bb5fdabf7a052d6443b3654dff0ecb4a\",0,\"inequalities_241709\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005683.lean\",\"40da05566a5eec50356ccbf0feb1dfd30c45bf99594381f6c8c80b2e231cd51c\",0,\"number_theory_117356\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005684.lean\",\"dbefccc9c5b6014bd975c262ab631aa0d2521a22f949cec23fca3a64014d05f6\",0,\"algebra_624265\"]"
+  ],
   "shards": [
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-      "sha256": "ac4cf63e63e29458367b3bb0dffbe1c84d0754daa58f93aa9e20861a28e21144",
       "bytes": 510320,
+      "path": "data/train/pb5/numina-001136-0000-ac4cf63e63e29458.parquet",
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-      "sha256": "0f730639d6b6ac16700c545c48f149751d57d061e75ccfb15e563a6e9f4534c4",
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-      "sha256": "93c03c24019f1d1b1d8357e3cfcf7f44ed8143133ea7ece93e011e17cde30b9e",
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-      "path": "data/internal_test/numina-001136-0000-9d26cbe981514771.parquet",
-      "sha256": "9d26cbe9815147717cf18d430a286c16d09fa739ed6c423f814bebd412be9d65",
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-      "revision": "82a68619d0664faaf3c5391679c022d524d38a9a"
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+      "path": "data/internal_test/pb5/numina-001136-0001-dcf6694f8293142e.parquet",
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-      "sha256": "3c039e7508b9a50874b6fa5170b80c0008fed0d547bb3b36112ec190750399b2",
       "bytes": 450824,
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       "rows": 4,
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+      "path": "data/internal_test/pb5/numina-001136-0003-c29660d409608c4c.parquet",
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       "rows": 1,
-      "revision": "82a68619d0664faaf3c5391679c022d524d38a9a"
+      "sha256": "c29660d409608c4cf73c503d1881da0437bd21054895c35b849566344e41cafb"
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     {
-      "path": "data/internal_test/numina-001136-0004-7ab96e3f6a8a0317.parquet",
-      "sha256": "7ab96e3f6a8a0317c5c0e23072cc34ef026668a4208ec4926a0edd77448995a4",
       "bytes": 795580,
+      "path": "data/internal_test/pb5/numina-001136-0004-7ab96e3f6a8a0317.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "82a68619d0664faaf3c5391679c022d524d38a9a"
+      "sha256": "7ab96e3f6a8a0317c5c0e23072cc34ef026668a4208ec4926a0edd77448995a4"
     },
     {
-      "path": "data/internal_test/numina-001136-0005-6b6d47f260488a72.parquet",
-      "sha256": "6b6d47f260488a72b86b4be42ecac77e513a54826361482183698e4157cc5079",
       "bytes": 393885,
+      "path": "data/internal_test/pb5/numina-001136-0005-6b6d47f260488a72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "82a68619d0664faaf3c5391679c022d524d38a9a"
+      "sha256": "6b6d47f260488a72b86b4be42ecac77e513a54826361482183698e4157cc5079"
     }
-  ],
-  "proof_ids": [
-    "numina:3ca19212-dc9e-5cc3-ba42-0d719a7d687e",
-    "numina:816811df-3bb0-59e3-95f8-9c6cf250aeae",
-    "numina:8fb04420-1654-5b00-8146-aaccffb4e34d",
-    "numina:bfa1c2c3-9763-57eb-bc0e-4a1798e51248",
-    "numina:f7fb8eb6-854d-5249-a9a4-a04afc5b7d17"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005680.lean\",\"6d925653a8c4f4d80c34f85df319e08ebe680f6f17da19877f56cf09b9a8df8f\",0,\"inequalities_24509\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005681.lean\",\"f3dcc5e525849240f2c080e41389d14cf3436026a638302bccfe6fab1a04d4c5\",0,\"algebra_624155\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005682.lean\",\"da77215a7ee9ae6d2e8fa9e42d2396f4bb5fdabf7a052d6443b3654dff0ecb4a\",0,\"inequalities_241709\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005683.lean\",\"40da05566a5eec50356ccbf0feb1dfd30c45bf99594381f6c8c80b2e231cd51c\",0,\"number_theory_117356\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005684.lean\",\"dbefccc9c5b6014bd975c262ab631aa0d2521a22f949cec23fca3a64014d05f6\",0,\"algebra_624265\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001137.json b/manifests/batches/numina/001137.json
index 5d281470598293d3fe376f1cb1eafbf3937be1de..fd988efda187371feb72bddbe9659e5040d97743 100644
--- a/manifests/batches/numina/001137.json
+++ b/manifests/batches/numina/001137.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001137",
   "batch_fingerprint": "bc8d41ed4e372646ac3ff060b71eb5189883d9b853c4a52c93fb2f737187ae38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001137-0000-923f4f23d90d3956.parquet",
-      "sha256": "923f4f23d90d3956ec7dce4fe52dc0d9bdb763bbb6925d601338e462d6810be2",
-      "bytes": 734700,
-      "rows": 45,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/internal_test/numina-001137-0000-ed62fca4e2070181.parquet",
-      "sha256": "ed62fca4e207018160017ba9a9da2d453e63ad39f57bb645b39d3c40898d2517",
-      "bytes": 94105,
-      "rows": 8,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13ce91bb-a9a5-578c-8756-6524978e814c",
     "numina:207bc5bd-c447-500d-a47e-3210d9460377",
@@ -48,5 +32,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005688.lean\",\"bec9b6dd5760ef93452b5ba9919ab988e472c22dde69e9f5eede4f2ce5eb8493\",2,\"algebra_24629\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005689.lean\",\"d7a5de6ac71a8ace700aa63adab06f2e4eeeec3bf9febfa7024b0d75491e882e\",0,\"algebra_106369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734700,
+      "path": "data/train/pdb/numina-001137-0000-923f4f23d90d3956.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "923f4f23d90d3956ec7dce4fe52dc0d9bdb763bbb6925d601338e462d6810be2"
+    },
+    {
+      "bytes": 94105,
+      "path": "data/internal_test/pdb/numina-001137-0000-ed62fca4e2070181.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ed62fca4e207018160017ba9a9da2d453e63ad39f57bb645b39d3c40898d2517"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001138.json b/manifests/batches/numina/001138.json
index af1d0b38cb38d3f42550e374bf635781fe851274..b7302285fc6bc65ff554a1409e64893ef8a779c6 100644
--- a/manifests/batches/numina/001138.json
+++ b/manifests/batches/numina/001138.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001138",
   "batch_fingerprint": "b7676411154da77c5bf05c25aa656cb27e28da8d7c625e594b696fe72e0e2698",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001138-0000-f91b9a6370ed3df9.parquet",
-      "sha256": "f91b9a6370ed3df94252bfa8261aef83cf35f14cb36489c18d95896c95163f3a",
-      "bytes": 576749,
-      "rows": 39,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10ee3386-00f8-5158-90bf-40dd199fbe9e",
     "numina:1a360e45-29a2-539b-93cb-4130d347da0d",
@@ -41,5 +32,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005693.lean\",\"6ac9160e2ae07a43e9adec175d90a8e1ee084f9ee8c4af4d205d24f1096da7db\",0,\"algebra_625547\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005694.lean\",\"9464139d3ecd8e0ae9a7c9413f2234652fba33320c5d17f8484bc597799b61c1\",2,\"algebra_281276\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576749,
+      "path": "data/train/pf7/numina-001138-0000-f91b9a6370ed3df9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "f91b9a6370ed3df94252bfa8261aef83cf35f14cb36489c18d95896c95163f3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001139.json b/manifests/batches/numina/001139.json
index ece9463e57036b46916c6de1dee078f2eaf5b60c..8bf16f4b21a6bc65d3bf12d5a613f7b1c5ac5c62 100644
--- a/manifests/batches/numina/001139.json
+++ b/manifests/batches/numina/001139.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001139",
   "batch_fingerprint": "219b1e06fb3b8650a2b1c3f7fd587d63248ad981819e01afdb13417d01d82a3e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001139-0000-2054bc5794e6c099.parquet",
-      "sha256": "2054bc5794e6c099292583c7dfbfb99cbe122baaea2388a3bb3572256a23b6a0",
-      "bytes": 426357,
-      "rows": 38,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    },
-    {
-      "path": "data/train/numina-001139-0001-32028680691a57c8.parquet",
-      "sha256": "32028680691a57c84845dba582904b3c7948e6b89bcf2dd22d851a73484a9b51",
-      "bytes": 456110,
-      "rows": 20,
-      "revision": "db6f607484191c8ec2fea6cedcb3689c7e812866"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:52bedc22-61b5-5f40-8ad8-6c705b62bbb5",
     "numina:63244b6e-bee2-5b08-956a-a2f07d1efd6f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005697.lean\",\"64c9544e58a3fae8fd016e484077b1d2f5c1840bf07ac6bc2283ce1ebaa9d6f3\",0,\"number_theory_24310\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005698.lean\",\"72d2c473da639b4b4b195d56ac4cdb049877a3126258f2426ce1bf19fcab7151\",0,\"inequalities_262331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005699.lean\",\"801a388d8ae973717ec1a83016e8354b71d63b26ce34f9598b60ef47fc6d08ac\",0,\"inequalities_262438\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426357,
+      "path": "data/train/pa3/numina-001139-0000-2054bc5794e6c099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "2054bc5794e6c099292583c7dfbfb99cbe122baaea2388a3bb3572256a23b6a0"
+    },
+    {
+      "bytes": 456110,
+      "path": "data/train/pa3/numina-001139-0001-32028680691a57c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "32028680691a57c84845dba582904b3c7948e6b89bcf2dd22d851a73484a9b51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001140.json b/manifests/batches/numina/001140.json
index 98293830aee204a3d6f2d26a0c494973b979529b..8ce5a0b4c0200566a832dd8ed78c447c7dafea31 100644
--- a/manifests/batches/numina/001140.json
+++ b/manifests/batches/numina/001140.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001140",
   "batch_fingerprint": "6b3381a1030c6a919a511a96d4ce052ff4a90a1ed118c9f18fb31d7de62b97f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001140-0000-70f547940e650c9a.parquet",
-      "sha256": "70f547940e650c9a10256276a8fde31fae5915d65735107f95087216dd098687",
-      "bytes": 503566,
-      "rows": 37,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001140-0000-9bb976796061de63.parquet",
-      "sha256": "9bb976796061de639214efbb3e5f31d74f99881f6aea5dc7ff0a48ed87a94470",
-      "bytes": 41486,
-      "rows": 4,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:036e6d88-24e5-537d-9232-e58483ff3464",
     "numina:0a47d39b-fbeb-5c0a-89cf-8e4db5219bf6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005702.lean\",\"2bd45e33e87a30ed65a702686e86425206ff0f3b136937ff4ec39b9e42dd1b90\",2,\"algebra_241734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005703.lean\",\"c4a7660220e24681860b2c4cbf1c3debbcbab8bca70af0fd38de439d9ce52eff\",0,\"algebra_677\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005704.lean\",\"58dd37d11a080bf58ddc9597fe7b28881e795052d33db2d4e3d3fafd46011781\",0,\"number_theory_683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503566,
+      "path": "data/train/p78/numina-001140-0000-70f547940e650c9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "70f547940e650c9a10256276a8fde31fae5915d65735107f95087216dd098687"
+    },
+    {
+      "bytes": 41486,
+      "path": "data/internal_test/p78/numina-001140-0000-9bb976796061de63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9bb976796061de639214efbb3e5f31d74f99881f6aea5dc7ff0a48ed87a94470"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001141.json b/manifests/batches/numina/001141.json
index 23347a369b37a99693fd07788bc4b739c50c9295..0c11f1407891945940adbdc9168293dcc4506095 100644
--- a/manifests/batches/numina/001141.json
+++ b/manifests/batches/numina/001141.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001141",
   "batch_fingerprint": "4587bb14277318e488a219354e5ff6126279684a8e0278e19970251696c5e7fe",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001141-0000-ba73a6e25ac97970.parquet",
-      "sha256": "ba73a6e25ac979709eb4d7d7700daba1bc702f190f8fae5854ebdd766c4990cd",
-      "bytes": 280527,
-      "rows": 35,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    },
-    {
-      "path": "data/internal_test/numina-001141-0000-ceb9b3e2e28784ad.parquet",
-      "sha256": "ceb9b3e2e28784ad7af12fee34499bde7ed4265d443900ee799428660a46dbf7",
-      "bytes": 103277,
-      "rows": 9,
-      "revision": "40c67b3ab6f9f849d435128b0b465899343044d6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:306bb4d0-b2c0-5e05-a1c2-9a04af542bf3",
     "numina:d86dcf6a-ac1c-5f2f-a405-aafdf73399dd",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005707.lean\",\"a4910ff4af02df56d75bbf2abf899910855e2245bedaab0bbf1a8eae69116deb\",0,\"algebra_109776\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005708.lean\",\"d7e7c1c75e448d4727b6dfb220112e335b560aca00833f01f7d469ab52c3a50d\",0,\"algebra_6957\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005709.lean\",\"d1301085b593c6a7d1e88018a8d20fe44bee03941560f68b32ab1bb1e5263e7e\",0,\"number_theory_24081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280527,
+      "path": "data/train/p4e/numina-001141-0000-ba73a6e25ac97970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "ba73a6e25ac979709eb4d7d7700daba1bc702f190f8fae5854ebdd766c4990cd"
+    },
+    {
+      "bytes": 103277,
+      "path": "data/internal_test/p4e/numina-001141-0000-ceb9b3e2e28784ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ceb9b3e2e28784ad7af12fee34499bde7ed4265d443900ee799428660a46dbf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001142.json b/manifests/batches/numina/001142.json
index 633aa7b0af577e8c68e5df9c8a44882988da391f..efe7512750ce16af954816242bdf4f9e27589236 100644
--- a/manifests/batches/numina/001142.json
+++ b/manifests/batches/numina/001142.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001142",
   "batch_fingerprint": "4fe2c9fd3c2eba8cbd9c725407b3f39bd6aeedefc4f068af5c87eafeb953a04c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001142-0000-97d803752d531b77.parquet",
-      "sha256": "97d803752d531b7708bd762d6639e1b4ae79d5fc565cf83ae388d70e58076b43",
-      "bytes": 587601,
-      "rows": 61,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:493febe5-b25b-54c0-90b9-abd19304edeb",
     "numina:5c1cd10b-8faa-5aa1-b538-58ab4e11baaa",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005712.lean\",\"75a4f3f1206d8f95075301333c874acabab500a34ebc61509fb1586b7d510d87\",2,\"inequalities_161032\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005713.lean\",\"f0babadab51c6b0902e255a38c8ff65ac9554df24cd89f3141d649246aa40080\",0,\"algebra_622967\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005714.lean\",\"57a15714916809d3e5ef0b8e86d3dc650cbc572ca0ddc6db61fa7122682301df\",0,\"algebra_629486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 587601,
+      "path": "data/train/p52/numina-001142-0000-97d803752d531b77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "97d803752d531b7708bd762d6639e1b4ae79d5fc565cf83ae388d70e58076b43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001143.json b/manifests/batches/numina/001143.json
index 8c4045cba3e8c23eb9e8f442fee76986de8953b6..666a0d1cb13925a7deeec327483afe866cba8196 100644
--- a/manifests/batches/numina/001143.json
+++ b/manifests/batches/numina/001143.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001143",
   "batch_fingerprint": "76ba89fd39faa3486f3b23b5fdfb6694d7c660ac92ca05da0a570c1ba8990f5d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001143-0000-d9f5c58704a6e81f.parquet",
-      "sha256": "d9f5c58704a6e81f6dbc39f0094153918a096eff2b4874cc3d601191463bfafe",
-      "bytes": 319234,
-      "rows": 30,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/dev/numina-001143-0000-5ce44dbef14fb416.parquet",
-      "sha256": "5ce44dbef14fb416901c0415d84d55f5065e790bfba28d680bb8baeb74e06ce2",
-      "bytes": 78378,
-      "rows": 18,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4cdc6bb8-745c-53ff-9ac3-9029e1630ed0",
     "numina:5829f1c8-8203-52cf-91ff-7f620c2718f1",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005717.lean\",\"d1db3ca1d20f27ffc2a501adcfb2606bbedf54e8c0669adbca077b51c0200fa3\",0,\"number_theory_629554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005718.lean\",\"15bdda2c8ffacd9606140014664f01b8bcec821a051c1966d9a65b1341576693\",0,\"algebra240229\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005719.lean\",\"8e97c5ff926f7c4b0c785403b0b93b8930684ab79f03a194139709057438f79d\",0,\"inequalities_112767\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319234,
+      "path": "data/train/pcd/numina-001143-0000-d9f5c58704a6e81f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d9f5c58704a6e81f6dbc39f0094153918a096eff2b4874cc3d601191463bfafe"
+    },
+    {
+      "bytes": 78378,
+      "path": "data/dev/pcd/numina-001143-0000-5ce44dbef14fb416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5ce44dbef14fb416901c0415d84d55f5065e790bfba28d680bb8baeb74e06ce2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001144.json b/manifests/batches/numina/001144.json
index eab1b858a83f56832c4b72a7a6e38f66e52fa63e..c34575a3a5e192a55034a6f47f5be22b1020ad4f 100644
--- a/manifests/batches/numina/001144.json
+++ b/manifests/batches/numina/001144.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001144",
   "batch_fingerprint": "6b4b3a020d6ad0300f3576bace1e59dc7030c1c8748adc8a243d6fd9e6960b2a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001144-0000-36891ef9b1714c68.parquet",
-      "sha256": "36891ef9b1714c68f172365467f1b86575e2e88be6677c32d2010988fce81879",
-      "bytes": 693788,
-      "rows": 34,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:093db4c8-79a7-5d61-8797-0bc1aaf66fc3",
     "numina:13082925-2cba-51a8-8793-2297b6ecacda",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005722.lean\",\"66ff4d2a2a62f2c1d46078ded2d3165e9bd4ae2938738d11ced8440f1e5dffc1\",0,\"number_theory_600026\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005723.lean\",\"f1f48131b3fc48b3c39fea26dc40c212e865f69f9ed18b7e4f58a8b16140468d\",0,\"algebra_109540\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005724.lean\",\"eb523ffcb69afb5a1786aaf6ce60eae9259b918ab42d54fb5e7b7efa3719920c\",0,\"inequalities_243621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 693788,
+      "path": "data/train/p6c/numina-001144-0000-36891ef9b1714c68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "36891ef9b1714c68f172365467f1b86575e2e88be6677c32d2010988fce81879"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001145.json b/manifests/batches/numina/001145.json
index 2f9743b70b7329255992e755ed47f4fcaa6577c0..1742387dbc92e52491d9d8ed902731354f526d67 100644
--- a/manifests/batches/numina/001145.json
+++ b/manifests/batches/numina/001145.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001145",
   "batch_fingerprint": "cb737ab28b882f5639a7fbb4d72465ac5c69e29fb5d0c10fbc7ff0909da6fa90",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001145-0000-386587cde5fd3023.parquet",
-      "sha256": "386587cde5fd3023fa6891e2a6258e377d23642228116f9517e130969f9c6834",
-      "bytes": 276277,
-      "rows": 38,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001145-0000-cf474b464a2f421a.parquet",
-      "sha256": "cf474b464a2f421a627953e363c10bff280f86d21b5ecb58a51c1019dac7dd95",
-      "bytes": 540666,
-      "rows": 37,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27d499e4-a989-57ff-bd48-6d3e3e7272e2",
     "numina:49366beb-df38-5cd5-ba6e-adea1558dec0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005727.lean\",\"f76f6e98491c9b958c78f93e19277fce23c20c35e2f4251b7ab2e44e9d17c638\",0,\"number_theory_245952\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005728.lean\",\"b253d8e5a5d168bed304eef16b64676031082bbe96b1ddff8ccf284f97b32d67\",0,\"algebra_111734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005729.lean\",\"c94dfcf03fe5bd5f622f39c4643bbffd74d6b6b0e2ba8d123f1c51bdcf4b2e7c\",0,\"calculus_9959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276277,
+      "path": "data/train/pe9/numina-001145-0000-386587cde5fd3023.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "386587cde5fd3023fa6891e2a6258e377d23642228116f9517e130969f9c6834"
+    },
+    {
+      "bytes": 540666,
+      "path": "data/internal_test/pe9/numina-001145-0000-cf474b464a2f421a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "cf474b464a2f421a627953e363c10bff280f86d21b5ecb58a51c1019dac7dd95"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001146.json b/manifests/batches/numina/001146.json
index 7a6d7b819c6d1f1b38bf01363ad23a16753e2a2a..bcdec4fbda78f1a5db79ee10415f897744d2ca8d 100644
--- a/manifests/batches/numina/001146.json
+++ b/manifests/batches/numina/001146.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001146",
   "batch_fingerprint": "564de9c001dca934cbdf51741171370c634c799f2c1fe3df1a962e3fdbb530b1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001146-0000-be98b47c99d5bafa.parquet",
-      "sha256": "be98b47c99d5bafac80d5a76fefbea91bf9533c3094cefae055f58af3fcedd7e",
-      "bytes": 522804,
-      "rows": 52,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    },
-    {
-      "path": "data/train/numina-001146-0001-4e84b565b06e53d7.parquet",
-      "sha256": "4e84b565b06e53d72e57c61d0c5d0c6900390184d72b5e824f4902767646f57d",
-      "bytes": 145371,
-      "rows": 14,
-      "revision": "8acf782729c74ca78799e9abc935e512ddf8cbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4839a396-f65f-517d-a0f8-720867a8511a",
     "numina:51aae4ed-1791-5b64-912a-96a3d575ad2c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005732.lean\",\"cc3eebcb0a47d27266ca16eab34e70d524edb148827d7654e7c58c0af8760431\",0,\"number_theory_3265\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005733.lean\",\"eb6f41baa817b6b50edd2f65c95d8579008d8a953223fb45eaa6bea0b249b97c\",0,\"algebra_251156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005734.lean\",\"1116eda23a397894ef945e7870714c60ab39952f6eb0b3efadd03f8bc18e6dc4\",3,\"algebra_136687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 522804,
+      "path": "data/train/pcf/numina-001146-0000-be98b47c99d5bafa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "be98b47c99d5bafac80d5a76fefbea91bf9533c3094cefae055f58af3fcedd7e"
+    },
+    {
+      "bytes": 145371,
+      "path": "data/train/pcf/numina-001146-0001-4e84b565b06e53d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4e84b565b06e53d72e57c61d0c5d0c6900390184d72b5e824f4902767646f57d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001147.json b/manifests/batches/numina/001147.json
index 51f52bdb4e02fe99d0cdb0c1e98c60d2249a7842..8de9d2defb70ae49e0b27fb19be019caf0c8e43a 100644
--- a/manifests/batches/numina/001147.json
+++ b/manifests/batches/numina/001147.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001147",
   "batch_fingerprint": "c22988714ad145fb20380d9a160a9328f961312fee355dc9b111c8b2c519d2a3",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:00b23e63-915f-5f8a-977a-cd875a571d87",
+    "numina:5be648c7-e0e4-5bef-abd9-ec9b6166eb50",
+    "numina:9d510b82-fd64-5531-909e-d1237e75ccca",
+    "numina:d3fa8054-5114-5ccc-94f4-31ca8bddb73b",
+    "numina:eeb0b7b4-d267-510d-aab4-8f3139ee6418"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005735.lean\",\"1cb0e7f6d2281178384aae59762567301ae79a4633e815fe473d3821f2483e13\",0,\"number_theory_626939\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005736.lean\",\"ec275c06702423364b10727b93ebd6239b719dd1b670de00ffacce17f6847b75\",0,\"algebra_251283\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005737.lean\",\"8d5eda6ab24bffcf7ebdc78388521a65f96b202f0e14b7785b388e999b6ea5df\",0,\"algebra_138220\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005738.lean\",\"caa723942203818cfd36f571d6a2d8ed22948c4ae7a47d08a0c4b2220f8e9762\",0,\"inequalities_32331\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005739.lean\",\"b8ecb73cdbfd4bcb86926e2b47781b71b59ddcc5fda82135b6b5a75b8334c984\",0,\"algebra_2564\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001147-0000-112fcc226285c9dd.parquet",
-      "sha256": "112fcc226285c9dd89c76886dda4b405141c8e1b00c0a517b3f43a6f8fea2038",
       "bytes": 494379,
+      "path": "data/train/p29/numina-001147-0000-112fcc226285c9dd.parquet",
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       "rows": 54,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
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-      "sha256": "bf3a9a3564c1f371a7f198674f7fbde1593b3211ddc10ee7ddd54a05d198b3a6",
       "bytes": 422313,
+      "path": "data/dev/p29/numina-001147-0000-bf3a9a3564c1f371.parquet",
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       "rows": 18,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
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-      "path": "data/dev/numina-001147-0001-53bcc837ceea16cc.parquet",
-      "sha256": "53bcc837ceea16cca313b270573f991c13f6365e6828af89bbe3c4e909bcf3fe",
       "bytes": 923462,
+      "path": "data/dev/p29/numina-001147-0001-53bcc837ceea16cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
+      "sha256": "53bcc837ceea16cca313b270573f991c13f6365e6828af89bbe3c4e909bcf3fe"
     },
     {
-      "path": "data/dev/numina-001147-0002-d3e16538de60250c.parquet",
-      "sha256": "d3e16538de60250c317c8ec5ed5da1c441e6766f56048afc867afae3a0bacc03",
       "bytes": 785986,
+      "path": "data/dev/p29/numina-001147-0002-d3e16538de60250c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "abdc5aad010b213e44c83c1f39ef2350110cc6d0"
+      "sha256": "d3e16538de60250c317c8ec5ed5da1c441e6766f56048afc867afae3a0bacc03"
     }
-  ],
-  "proof_ids": [
-    "numina:00b23e63-915f-5f8a-977a-cd875a571d87",
-    "numina:5be648c7-e0e4-5bef-abd9-ec9b6166eb50",
-    "numina:9d510b82-fd64-5531-909e-d1237e75ccca",
-    "numina:d3fa8054-5114-5ccc-94f4-31ca8bddb73b",
-    "numina:eeb0b7b4-d267-510d-aab4-8f3139ee6418"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005735.lean\",\"1cb0e7f6d2281178384aae59762567301ae79a4633e815fe473d3821f2483e13\",0,\"number_theory_626939\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005736.lean\",\"ec275c06702423364b10727b93ebd6239b719dd1b670de00ffacce17f6847b75\",0,\"algebra_251283\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005737.lean\",\"8d5eda6ab24bffcf7ebdc78388521a65f96b202f0e14b7785b388e999b6ea5df\",0,\"algebra_138220\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005738.lean\",\"caa723942203818cfd36f571d6a2d8ed22948c4ae7a47d08a0c4b2220f8e9762\",0,\"inequalities_32331\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005739.lean\",\"b8ecb73cdbfd4bcb86926e2b47781b71b59ddcc5fda82135b6b5a75b8334c984\",0,\"algebra_2564\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001148.json b/manifests/batches/numina/001148.json
index 938b6e0263615b1cb4ab9ce077833790a729d264..00a190bd93cb230d0f1775ab104c3be376fb3f48 100644
--- a/manifests/batches/numina/001148.json
+++ b/manifests/batches/numina/001148.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001148",
   "batch_fingerprint": "a07434a5ab164e20805d47fe7c9f355023b35d34cc1cc5c7205dd3cda0f8dab6",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001148-0000-70d020c93617448f.parquet",
-      "sha256": "70d020c93617448fa5eb79adfa48a433aa82c906b0f104fbfef4cb8ace8d6495",
-      "bytes": 1149990,
-      "rows": 38,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/train/numina-001148-0001-4d456f287d9d74c0.parquet",
-      "sha256": "4d456f287d9d74c0dbeeca6d0bfae9a842f9bb5fa0cf6113ec8d852622cc92ce",
-      "bytes": 132212,
-      "rows": 13,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/dev/numina-001148-0000-d8ed01b603cf7aa6.parquet",
-      "sha256": "d8ed01b603cf7aa6b4d4f0e49a488cd590d8b416004e3f9400b8be993a315b0d",
-      "bytes": 41694,
-      "rows": 7,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b6c3db7-0089-526d-bdb6-ff62e2cbda55",
     "numina:3b5b35b0-6a3e-52a4-a39b-24f2db5604bc",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005742.lean\",\"bc5ac61f1ebd112b54df7781fe2baccf77ecb76b83094b4f11acd6257d25cd62\",0,\"number_theory_621486\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005743.lean\",\"14d2e5f61f3a01f2dc704666581e3070676618f0c6657b8a3f064fe7f9651f79\",0,\"inequalities_24815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005744.lean\",\"f54eb78ec357419f75965b94e82b701e8a03e9c58331dc697f4a95e542f1f81b\",0,\"algebra_621578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1149990,
+      "path": "data/train/pe1/numina-001148-0000-70d020c93617448f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "70d020c93617448fa5eb79adfa48a433aa82c906b0f104fbfef4cb8ace8d6495"
+    },
+    {
+      "bytes": 132212,
+      "path": "data/train/pe1/numina-001148-0001-4d456f287d9d74c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4d456f287d9d74c0dbeeca6d0bfae9a842f9bb5fa0cf6113ec8d852622cc92ce"
+    },
+    {
+      "bytes": 41694,
+      "path": "data/dev/pe1/numina-001148-0000-d8ed01b603cf7aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d8ed01b603cf7aa6b4d4f0e49a488cd590d8b416004e3f9400b8be993a315b0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001149.json b/manifests/batches/numina/001149.json
index 71f762dee054f3b2c3fbc464cc356ae855c1f87e..57383a5378a69e67898feb582af0e73a24c60e90 100644
--- a/manifests/batches/numina/001149.json
+++ b/manifests/batches/numina/001149.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001149",
   "batch_fingerprint": "fe0cf9056c775715aab44374b6dc152ee1d8f29b594a51d8e3d9d07187d5254b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001149-0000-dab3536122265a87.parquet",
-      "sha256": "dab3536122265a87f600807aa8c76ae50f224660eb79a0997b7549262a23ae5a",
-      "bytes": 353105,
-      "rows": 52,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/numina-001149-0000-3026331cf3536c50.parquet",
-      "sha256": "3026331cf3536c5028d81235cad240e7fa022ac1ecda7e19aeb00cdbb6141f17",
-      "bytes": 42236,
-      "rows": 2,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:356e042b-cd6d-5313-a86e-945851f1562f",
     "numina:3d6ee832-3cfa-5bd4-b914-f8f5368469cf",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005747.lean\",\"c49ce63678eec5a08c7c00627b1fb2f4268d2b12787c671b636a2eba1475d095\",0,\"algebra_111006\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005748.lean\",\"bbeda5523e665a07825c99a6ca7ec113c8ce5146d73de3d3840f92f520fb91ae\",0,\"number_theory_600027\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005749.lean\",\"c279c4edcff195fca59151004cf0299e0bed54634052d7d9d91599f0774c9cdf\",0,\"number_theory_28369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353105,
+      "path": "data/train/p8c/numina-001149-0000-dab3536122265a87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "dab3536122265a87f600807aa8c76ae50f224660eb79a0997b7549262a23ae5a"
+    },
+    {
+      "bytes": 42236,
+      "path": "data/internal_test/p8c/numina-001149-0000-3026331cf3536c50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3026331cf3536c5028d81235cad240e7fa022ac1ecda7e19aeb00cdbb6141f17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001150.json b/manifests/batches/numina/001150.json
index 6742792e7bf8781af2e7a93e694260ab09e6e5b6..43c2bd849d6d03f4b01d0c7d6fa2c33e0da819d2 100644
--- a/manifests/batches/numina/001150.json
+++ b/manifests/batches/numina/001150.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001150",
   "batch_fingerprint": "1f1b796478b7dd60e936e35029a1162c831f40b022aed6ceb6d44b142a612b27",
   "evidence": {
@@ -19,69 +18,70 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:078e1179-fc69-529c-a28e-a3e3e5b4bff7",
+    "numina:346746b4-1a64-56a9-82b6-b6e9ce66c753",
+    "numina:3630cc7a-d56f-5479-b788-09aab01e7d46",
+    "numina:500c46e9-35d3-573a-87b1-5fe067a6aaf7",
+    "numina:99383389-c202-5eb7-94e4-1d944299016e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005750.lean\",\"5f7ee085dd35e312d6010a92a4d009c8e0762bb6eddffd02f5473eb8bc8d2fca\",0,\"algebra_258450\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005751.lean\",\"7090a299b9996b6151dc2f7709047ba6a5aaff14b8082f50bf06f33faf752988\",0,\"number_theory_128628\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005752.lean\",\"375f3e5fdb3a516dd9ec3a5feedbba700712142c73bb9a7c3047a4ceeca27f40\",0,\"algebra_24849\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005753.lean\",\"921a35bf31beb5a637d5e42f4f766dc144b20bb84ee179e009f10d53662aec20\",0,\"algebra_265259\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005754.lean\",\"7b764ff654a9ad92d0ff4414c1f25d36ba0e9e408f6e79aa677e22925b666898\",0,\"number_theory_627675\"]"
+  ],
   "shards": [
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-      "path": "data/train/numina-001150-0000-5c1d49e9bbebaf22.parquet",
-      "sha256": "5c1d49e9bbebaf2283324af1627cac2df4246d34f96180280e69106566785028",
       "bytes": 574147,
+      "path": "data/train/p7a/numina-001150-0000-5c1d49e9bbebaf22.parquet",
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-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
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-      "sha256": "b13a9c430cd8d836fdb71d33d5c11306b47061b4678b66acfe3e0a8a698b79bc",
       "bytes": 585916,
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-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
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-      "path": "data/train/numina-001150-0002-80420b8eb29f8a50.parquet",
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       "bytes": 158696,
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-      "sha256": "b235eee0018a821a1d6f105e2c76260aec17d2525b15d1633e48b186ecff9941",
       "bytes": 424818,
+      "path": "data/train/p7a/numina-001150-0003-b235eee0018a821a.parquet",
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-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
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     {
-      "path": "data/train/numina-001150-0004-191d732f98c32609.parquet",
-      "sha256": "191d732f98c326094918d06cf4974e258d57c6d10c7b3982ce837f44482c154b",
       "bytes": 334576,
+      "path": "data/train/p7a/numina-001150-0004-191d732f98c32609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
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     {
-      "path": "data/train/numina-001150-0005-8dc4d5f095c24fe5.parquet",
-      "sha256": "8dc4d5f095c24fe536825d1c776c9088ab476e7a6e43ae12379ee11290482f4d",
       "bytes": 519239,
+      "path": "data/train/p7a/numina-001150-0005-8dc4d5f095c24fe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
+      "sha256": "8dc4d5f095c24fe536825d1c776c9088ab476e7a6e43ae12379ee11290482f4d"
     },
     {
-      "path": "data/dev/numina-001150-0000-61f7560979dfed12.parquet",
-      "sha256": "61f7560979dfed122bbd5b77e4395cd3a923e8975febbe35d0f4bdbcdf6d0124",
       "bytes": 478790,
+      "path": "data/dev/p7a/numina-001150-0000-61f7560979dfed12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6c0d9c736322f649886bff912fd30c1163a5d6f1"
+      "sha256": "61f7560979dfed122bbd5b77e4395cd3a923e8975febbe35d0f4bdbcdf6d0124"
     }
-  ],
-  "proof_ids": [
-    "numina:078e1179-fc69-529c-a28e-a3e3e5b4bff7",
-    "numina:346746b4-1a64-56a9-82b6-b6e9ce66c753",
-    "numina:3630cc7a-d56f-5479-b788-09aab01e7d46",
-    "numina:500c46e9-35d3-573a-87b1-5fe067a6aaf7",
-    "numina:99383389-c202-5eb7-94e4-1d944299016e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005750.lean\",\"5f7ee085dd35e312d6010a92a4d009c8e0762bb6eddffd02f5473eb8bc8d2fca\",0,\"algebra_258450\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005751.lean\",\"7090a299b9996b6151dc2f7709047ba6a5aaff14b8082f50bf06f33faf752988\",0,\"number_theory_128628\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005752.lean\",\"375f3e5fdb3a516dd9ec3a5feedbba700712142c73bb9a7c3047a4ceeca27f40\",0,\"algebra_24849\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005753.lean\",\"921a35bf31beb5a637d5e42f4f766dc144b20bb84ee179e009f10d53662aec20\",0,\"algebra_265259\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005754.lean\",\"7b764ff654a9ad92d0ff4414c1f25d36ba0e9e408f6e79aa677e22925b666898\",0,\"number_theory_627675\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001151.json b/manifests/batches/numina/001151.json
index fd6042d0748344d724e807bb23bdcf13388d5d18..3c7901df842badfb2f25703224675bf083d4ead2 100644
--- a/manifests/batches/numina/001151.json
+++ b/manifests/batches/numina/001151.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001151",
   "batch_fingerprint": "6fde7e7eff5903a3f5646032025eba0a0077a350c74b0fa03abbe26f1831c828",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001151-0000-22562afab5efce90.parquet",
-      "sha256": "22562afab5efce907676ca3deb730461d615225ce1769e9649aed53ab00dd4e8",
-      "bytes": 609967,
-      "rows": 22,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00c6b843-c848-5440-9634-513a6f25d0aa",
     "numina:3ef58d0f-f104-54a9-a9c5-b8e782f49147",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005757.lean\",\"b64bb10321e2b65c6106145b7adbbf748034f229d7e2df1f3505f6b0b606b2d9\",0,\"algebra_633731\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005758.lean\",\"df1d5ddf437c3b493669438fc2e04609f40f495024aaca7f6d22748ad3c0a2c9\",0,\"calculus_187069\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005759.lean\",\"2cc9d9fd57012298319387bd80c5740d86297166afb1f1d821ee20061c6e50de\",0,\"number_theory_633736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 609967,
+      "path": "data/train/p95/numina-001151-0000-22562afab5efce90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "22562afab5efce907676ca3deb730461d615225ce1769e9649aed53ab00dd4e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001152.json b/manifests/batches/numina/001152.json
index ec29f03c8e2fa15c285e8f1e8457b7d2da0ff4e1..6c6debe2067bf6b4071ce1c9371ae9b8c5c04c91 100644
--- a/manifests/batches/numina/001152.json
+++ b/manifests/batches/numina/001152.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001152",
   "batch_fingerprint": "3a43df33fa32db28d21c19194ab4f3b0e6fd3f85bee44b55c5da968bdc7b43aa",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001152-0000-be3a725c5f179f25.parquet",
-      "sha256": "be3a725c5f179f258b5ebb141c22bc4697bd4f90df1b5c1a8187dfb06a3ed7cd",
-      "bytes": 135091,
-      "rows": 23,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19a6de8d-a5ae-51a4-a241-bfc1b53d6d3c",
     "numina:4bc9f98a-1804-5bc1-9726-e66f5a426c8e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005762.lean\",\"f18b029da4f153aa76a9baa0049a16dbdaa5dc78f8432c682d9adacc3220f1ec\",0,\"algebra_200123\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005764.lean\",\"ddca224d6100d194bc5a7e4dfe627598bf81b64babb65b126b1db5692fa10c6f\",0,\"algebra_94488\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135091,
+      "path": "data/train/p1f/numina-001152-0000-be3a725c5f179f25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "be3a725c5f179f258b5ebb141c22bc4697bd4f90df1b5c1a8187dfb06a3ed7cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001153.json b/manifests/batches/numina/001153.json
index 131f456bc58022c9e8c3b3b9f778932deed8d803..8882fa42d1b56a443edb30aa5cb39906b63851e9 100644
--- a/manifests/batches/numina/001153.json
+++ b/manifests/batches/numina/001153.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001153",
   "batch_fingerprint": "bcd78f11d6b1ccfd73652a35764a4e92661d7d73b4141df8c3855ec63bc94f23",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001153-0000-259789c30704d7b7.parquet",
-      "sha256": "259789c30704d7b78cb3439e6dd7f67631f325f8aa422eb94093d8697c4bac3b",
-      "bytes": 404954,
-      "rows": 33,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    },
-    {
-      "path": "data/internal_test/numina-001153-0000-b3903bc9aacb4f66.parquet",
-      "sha256": "b3903bc9aacb4f66011fb2c456559f9e6417f3128c9429533debd3228b6c0467",
-      "bytes": 166451,
-      "rows": 5,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f710546-4a1a-591a-8bab-a747ffca65ed",
     "numina:26bf4a4e-5c6b-5c25-b210-186fc283a220",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005767.lean\",\"45f2d3f56aeeebca7020532ac8a582249a0d32b3ba240585bcf7a145020d94a5\",0,\"number_theory_36448\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005768.lean\",\"e8a810e78cd7bd01be9cf8f347cfd802d369036ed413a2c0f3df7658418eb414\",0,\"algebra_247560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005769.lean\",\"6a7ac76577c0a1d4417b63b2e9923d5fffe7b6d348fa65b8164fff8910b0f110\",0,\"number_theory_115474\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404954,
+      "path": "data/train/p2a/numina-001153-0000-259789c30704d7b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "259789c30704d7b78cb3439e6dd7f67631f325f8aa422eb94093d8697c4bac3b"
+    },
+    {
+      "bytes": 166451,
+      "path": "data/internal_test/p2a/numina-001153-0000-b3903bc9aacb4f66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b3903bc9aacb4f66011fb2c456559f9e6417f3128c9429533debd3228b6c0467"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001154.json b/manifests/batches/numina/001154.json
index d059bb0fbbb977eb14676d44badc0192be553ac1..be60cabd99744efb94de6f24e88baf28eabcb6ea 100644
--- a/manifests/batches/numina/001154.json
+++ b/manifests/batches/numina/001154.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001154",
   "batch_fingerprint": "bbcced4c2090573de1fcc0397170b556d06644c6447fc12abcdf568786966cc8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001154-0000-a480bbf4dbdd6327.parquet",
-      "sha256": "a480bbf4dbdd63278925987f4feea83ba83b837d1afd56a1032b9b375dc3769c",
-      "bytes": 563069,
-      "rows": 56,
-      "revision": "64881314ad3b90b2303a70f55fe48986307404e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26f3b8e3-b271-522a-8bd0-afeb805d786a",
     "numina:42659f89-ab5a-5dd5-86dd-621f984c42fe",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005772.lean\",\"cfbc23758edbbdb19ce53b7c5e4b6c2bbbb174dfacc90530665821f9728f88ad\",0,\"inequalities_26053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005773.lean\",\"2bd972af584a5a9a9ebf80e77679fd8620c09d43ac4afadbf68221d70798414a\",0,\"number_theory_245291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005774.lean\",\"e3ba59ee54f59ccbeb9092c28f4bb0bb74d931e0f84754ecc20c3a4f8423e912\",0,\"algebra_633719\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 563069,
+      "path": "data/train/p48/numina-001154-0000-a480bbf4dbdd6327.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "a480bbf4dbdd63278925987f4feea83ba83b837d1afd56a1032b9b375dc3769c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001155.json b/manifests/batches/numina/001155.json
index eb17ba6688da8e7fcd123fec9b0847c9c378faee..4121ed2dcf910472884454fd9dc9f1f0c7f6e0fe 100644
--- a/manifests/batches/numina/001155.json
+++ b/manifests/batches/numina/001155.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001155",
   "batch_fingerprint": "dda5579ce2ee681a6d39973548e6cbee47ae46382d8e19029570b3f8ccea8f20",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001155-0000-eaffce6a4b624dd6.parquet",
-      "sha256": "eaffce6a4b624dd6f6adb5b89166633d6d18fbee6d36f1c1b63af8e6f58889c8",
-      "bytes": 608524,
-      "rows": 41,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/train/numina-001155-0001-48ea86d9b0f1f856.parquet",
-      "sha256": "48ea86d9b0f1f8562100ab6005ce1f4e0a3e855fcfbe2cc4cce6d5c492626e4b",
-      "bytes": 218395,
-      "rows": 8,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    },
-    {
-      "path": "data/internal_test/numina-001155-0000-2a10df312600e2ba.parquet",
-      "sha256": "2a10df312600e2bae27ce2393ed4ba583a6a1c4890e6b95cfd466a20de4484e0",
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-      "rows": 3,
-      "revision": "1a46b83a38231129e357c7dedd9d6fdea7f74794"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03d7ac99-bd1b-52b9-b928-f9e14e3c8a46",
     "numina:5e2fd1cb-625a-55f7-a69f-7021b3151b66",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005777.lean\",\"6b4efbb4ad7ec5838be306218e5aa57b75100fa56dd812106cd50ac5dbd9ee6d\",3,\"number_theory_191306\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005778.lean\",\"aac2b2df647affa18bb8b51bd15601ce285c6f6bf42e3e38d553cc25204736ca\",0,\"number_theory_701\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005779.lean\",\"bcd4d13f1c955e8b60c76768417fb89cd188ddc175572ee3fc29675fbc649933\",0,\"number_theory_248976\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 608524,
+      "path": "data/train/p00/numina-001155-0000-eaffce6a4b624dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "eaffce6a4b624dd6f6adb5b89166633d6d18fbee6d36f1c1b63af8e6f58889c8"
+    },
+    {
+      "bytes": 218395,
+      "path": "data/train/p00/numina-001155-0001-48ea86d9b0f1f856.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "48ea86d9b0f1f8562100ab6005ce1f4e0a3e855fcfbe2cc4cce6d5c492626e4b"
+    },
+    {
+      "bytes": 495038,
+      "path": "data/internal_test/p00/numina-001155-0000-2a10df312600e2ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2a10df312600e2bae27ce2393ed4ba583a6a1c4890e6b95cfd466a20de4484e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001156.json b/manifests/batches/numina/001156.json
index 549238fbb12acea79416998f606ef688c3792f34..3fdfb53e44b4dc462db4141b59f38cfd1aea9e63 100644
--- a/manifests/batches/numina/001156.json
+++ b/manifests/batches/numina/001156.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001156",
   "batch_fingerprint": "010d4c46db96b6e0421b2afb7944ad520149e3a0301cdcc418ba08885341ef3a",
   "evidence": {
@@ -38,46 +37,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:b3776881-e6c7-5dc4-b01a-d10ab09ec6d7",
+    "numina:cda52b50-5140-5555-8df6-b1b2f87ae1fb",
+    "numina:f9279bc0-25e1-5bfb-ad24-e30c365f1efa",
+    "numina:fd709c35-6867-56e1-b5f4-8f46558f8d9d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005781.lean\",\"d287a414492c0e343198c0dd654f185d2a635e85a120f375c44e478c5c8cb695\",0,\"algebra_615323\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005782.lean\",\"03ba852a5a683182eb55f3c0405bce9a1c5138b195817c19566e56d34a6c95d5\",0,\"algebra_254058\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005783.lean\",\"34fad7bb50e0b7238f929e75126ee9eb2e175f8b7f38c3621f14cfe9af56bb10\",0,\"number_theory_117758\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005784.lean\",\"baa8745e6e5b7e15ebdf8165b263221029feba22f298702e17b8f2c5c83d7feb\",0,\"number_theory_25084\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001156-0000-7e730b40ae588de1.parquet",
-      "sha256": "7e730b40ae588de19e6c7e183549fcf6b1997ebc569532f83c31c4361f68d6d2",
       "bytes": 651614,
+      "path": "data/train/peb/numina-001156-0000-7e730b40ae588de1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 69,
-      "revision": "000cc6f83dec11eecf5cda73655783d961ac2d81"
+      "sha256": "7e730b40ae588de19e6c7e183549fcf6b1997ebc569532f83c31c4361f68d6d2"
     },
     {
-      "path": "data/train/numina-001156-0001-fab5d3abee183508.parquet",
-      "sha256": "fab5d3abee183508173325ba681ffddcd91feaa5fcd89d8ce22e26d8eb240536",
       "bytes": 139027,
+      "path": "data/train/peb/numina-001156-0001-fab5d3abee183508.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "000cc6f83dec11eecf5cda73655783d961ac2d81"
+      "sha256": "fab5d3abee183508173325ba681ffddcd91feaa5fcd89d8ce22e26d8eb240536"
     },
     {
-      "path": "data/dev/numina-001156-0000-537997491e1d4a42.parquet",
-      "sha256": "537997491e1d4a4237efaf8095400281b70eaecc1315c98af903adb561cf8914",
       "bytes": 86372,
+      "path": "data/dev/peb/numina-001156-0000-537997491e1d4a42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "000cc6f83dec11eecf5cda73655783d961ac2d81"
+      "sha256": "537997491e1d4a4237efaf8095400281b70eaecc1315c98af903adb561cf8914"
     },
     {
-      "path": "data/internal_test/numina-001156-0000-0731c805fdac6f60.parquet",
-      "sha256": "0731c805fdac6f60f061558570217d89959b7b47d51962c0f0b4dbfad4ec0a99",
       "bytes": 142057,
+      "path": "data/internal_test/peb/numina-001156-0000-0731c805fdac6f60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "000cc6f83dec11eecf5cda73655783d961ac2d81"
+      "sha256": "0731c805fdac6f60f061558570217d89959b7b47d51962c0f0b4dbfad4ec0a99"
     }
-  ],
-  "proof_ids": [
-    "numina:b3776881-e6c7-5dc4-b01a-d10ab09ec6d7",
-    "numina:cda52b50-5140-5555-8df6-b1b2f87ae1fb",
-    "numina:f9279bc0-25e1-5bfb-ad24-e30c365f1efa",
-    "numina:fd709c35-6867-56e1-b5f4-8f46558f8d9d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005781.lean\",\"d287a414492c0e343198c0dd654f185d2a635e85a120f375c44e478c5c8cb695\",0,\"algebra_615323\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005782.lean\",\"03ba852a5a683182eb55f3c0405bce9a1c5138b195817c19566e56d34a6c95d5\",0,\"algebra_254058\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005783.lean\",\"34fad7bb50e0b7238f929e75126ee9eb2e175f8b7f38c3621f14cfe9af56bb10\",0,\"number_theory_117758\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005784.lean\",\"baa8745e6e5b7e15ebdf8165b263221029feba22f298702e17b8f2c5c83d7feb\",0,\"number_theory_25084\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001157.json b/manifests/batches/numina/001157.json
index be4695d2a10368b165907be83001c887c353a00f..22e02bf978bb55e06dc338d5c0fcc264497f0e35 100644
--- a/manifests/batches/numina/001157.json
+++ b/manifests/batches/numina/001157.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001157",
   "batch_fingerprint": "8c624ee8593e4ac120b2313e238ff2c5d6fc650a85aaca59974cc75686a94b2a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001157-0000-804f6fb6c9fce6b0.parquet",
-      "sha256": "804f6fb6c9fce6b0c0db1f3a0648bc84d0cf04857d2fae6965df0652ab2efedf",
-      "bytes": 392310,
-      "rows": 31,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:43c7aa6c-a05b-5ccc-a93b-6b527c5f78b9",
     "numina:5eb483ea-894c-5b8d-b0b9-65b8915b6088",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005787.lean\",\"90b380d89cd67b891e3bda7bce97f2a446b2d445a5eee3a31d363636c63e1b76\",1,\"algebra_201234\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005788.lean\",\"0be3ed36adcdf53780e14f5e3ef3acb0111ab5e273e316cf529829eadbb59d7c\",1,\"algebra_116313\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005789.lean\",\"f494d3bf3b43ce453570e50bc165808f6053cbf5db334fe2cbd2fce8fe797e86\",0,\"number_theory_628800\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392310,
+      "path": "data/train/pcd/numina-001157-0000-804f6fb6c9fce6b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "804f6fb6c9fce6b0c0db1f3a0648bc84d0cf04857d2fae6965df0652ab2efedf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001158.json b/manifests/batches/numina/001158.json
index 47db382464459d1b53bc072fc038c26e488ed60a..5036162cb98a00ee2c74f162742df291b606001b 100644
--- a/manifests/batches/numina/001158.json
+++ b/manifests/batches/numina/001158.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001158",
   "batch_fingerprint": "f7502aea3e528891bc9a267c1e27de47a281151fc91eff3646c86cdf22aaf3e5",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001158-0000-69df35d627cff835.parquet",
-      "sha256": "69df35d627cff83556d2fd9d269ca7d957b8e478aac8e73563ab55b20ffb9d17",
-      "bytes": 552884,
-      "rows": 11,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/train/numina-001158-0001-996635f8a07247c5.parquet",
-      "sha256": "996635f8a07247c57c2b1b6fb6be64c5a6ca7c85c16692c08b0b72bc648e6556",
-      "bytes": 575359,
-      "rows": 4,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/train/numina-001158-0002-fef6b7ffae184aa6.parquet",
-      "sha256": "fef6b7ffae184aa6236e37a5bc8bce9846df70a771d36a16fbc2d0e68dc2f1eb",
-      "bytes": 443059,
-      "rows": 18,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:121ef924-ba00-53cd-8dbb-5e25ea886c89",
     "numina:29fe72f3-d54a-544a-ae57-9d374193adc8",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005792.lean\",\"10491d6cc97a3732eeee04029bfcb0952f36b6fde99f157622515fc0ca4e8c41\",0,\"inequalities_38439\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005793.lean\",\"5fd9769838f2ba7150ad246d373cfe89745088e7f76c9a39a76c7514b866444c\",0,\"number_theory_12228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005794.lean\",\"bd3d523d416e52c8539d69615871fb78e25fdb6c8ea032a7a8bbf19f1a517b9d\",0,\"algebra_250144\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552884,
+      "path": "data/train/p4b/numina-001158-0000-69df35d627cff835.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "69df35d627cff83556d2fd9d269ca7d957b8e478aac8e73563ab55b20ffb9d17"
+    },
+    {
+      "bytes": 575359,
+      "path": "data/train/p4b/numina-001158-0001-996635f8a07247c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "996635f8a07247c57c2b1b6fb6be64c5a6ca7c85c16692c08b0b72bc648e6556"
+    },
+    {
+      "bytes": 443059,
+      "path": "data/train/p4b/numina-001158-0002-fef6b7ffae184aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fef6b7ffae184aa6236e37a5bc8bce9846df70a771d36a16fbc2d0e68dc2f1eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001159.json b/manifests/batches/numina/001159.json
index d7e9882c9f4e28be4b6bcd5f468149a1f7b760cc..1554c8ff05ce2e3975c388dd0429003e3c4f5647 100644
--- a/manifests/batches/numina/001159.json
+++ b/manifests/batches/numina/001159.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001159",
   "batch_fingerprint": "0b108625bcfa2e9a7e1fa8feae450b0f0b7c5e53338c090b13d9f44fdf9693ce",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001159-0000-935705fcbc1f80f3.parquet",
-      "sha256": "935705fcbc1f80f3a5caa6b3225aec6d108d22cbab35b7d10365bb97bb8dbdd5",
-      "bytes": 99425,
-      "rows": 6,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/train/numina-001159-0001-61c25281e05e843c.parquet",
-      "sha256": "61c25281e05e843cbd8fb8dff7ed44cc967ff22741e650b6f4416ede188fc34e",
-      "bytes": 414082,
-      "rows": 1,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/train/numina-001159-0002-285ca45e81365257.parquet",
-      "sha256": "285ca45e8136525732602dd301136086cba258af541682c991f7a4c36a9c7eb0",
-      "bytes": 384221,
-      "rows": 31,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63628750-0cae-5aaf-aaa0-9beb4506b571",
     "numina:878dc004-1344-59e0-ad11-104e0b9e97d8",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005797.lean\",\"da55ef0baf85a4225e62236449fcf873d8edee50921569b04fe1b999f5e73130\",0,\"algebra_250464\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005798.lean\",\"908bb364b78a93b0553610eb9cc6146bb10c026230585601afe45e272bee4c72\",3,\"algebra_151763\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005799.lean\",\"c129bfe93aac52305ef56a634c37a21b35ce3b66442ec5071275e0c1c434bf83\",0,\"number_theory_600012\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99425,
+      "path": "data/train/pc9/numina-001159-0000-935705fcbc1f80f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "935705fcbc1f80f3a5caa6b3225aec6d108d22cbab35b7d10365bb97bb8dbdd5"
+    },
+    {
+      "bytes": 414082,
+      "path": "data/train/pc9/numina-001159-0001-61c25281e05e843c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "61c25281e05e843cbd8fb8dff7ed44cc967ff22741e650b6f4416ede188fc34e"
+    },
+    {
+      "bytes": 384221,
+      "path": "data/train/pc9/numina-001159-0002-285ca45e81365257.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "285ca45e8136525732602dd301136086cba258af541682c991f7a4c36a9c7eb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001160.json b/manifests/batches/numina/001160.json
index 6ccafed8e38ad957edbf661133e0942509d1bdeb..20cb488cb31b56f2c36e218d28a656b399867421 100644
--- a/manifests/batches/numina/001160.json
+++ b/manifests/batches/numina/001160.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001160",
   "batch_fingerprint": "cc0040cdfb29ef5d2b190427ec914fc47be9b5dea9b89242ec79dc932f1bcab4",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1bc57b11-3cce-5c7d-a564-406eaed6dbd1",
+    "numina:4d5afb34-23ca-557f-b408-f5a39b0a146d",
+    "numina:5b816182-113c-5a96-89bd-b32b44ce59eb",
+    "numina:67442b24-1da5-5517-a869-b6107e9a25c8",
+    "numina:ad4ad267-bba5-5d15-961a-656d69d64ffe"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005800.lean\",\"35e3ca54bdfd6dbb9e595335fb3f16fa5600257e2bcb30c44364eacac80b35b5\",0,\"algebra_250589\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005801.lean\",\"2103ab0b184a406925674509d83cdab13f5b536829241ae1f636ae9855b777a5\",2,\"number_theory_159190\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005802.lean\",\"cdc4827559f82f625aab002e9ab0a4dabf104c57cdec5e04f97fee42408e5e7d\",0,\"number_theory_29628\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005803.lean\",\"28b50e05aabe4521d6b547bd25cee789dc3587c845e70fa5f4516cf86d2ca714\",0,\"number_theory_252431\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005804.lean\",\"ea343983c5c9af8eded853ed717f36ca05a5067546962929d12afb302e08d106\",0,\"number_theory_159209\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001160-0000-d49005586fb08fe1.parquet",
-      "sha256": "d49005586fb08fe19ac5157e14ea3fc66182a8c432d50779619a28400cbdc9d7",
       "bytes": 146117,
+      "path": "data/train/p8e/numina-001160-0000-d49005586fb08fe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
+      "sha256": "d49005586fb08fe19ac5157e14ea3fc66182a8c432d50779619a28400cbdc9d7"
     },
     {
-      "path": "data/dev/numina-001160-0000-d2b3ff515f1c0b14.parquet",
-      "sha256": "d2b3ff515f1c0b14d98d2f8ffcd60edbfd7106a9a646f8b1bcfeb1ff9ce3ff66",
       "bytes": 129535,
+      "path": "data/dev/p8e/numina-001160-0000-d2b3ff515f1c0b14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
+      "sha256": "d2b3ff515f1c0b14d98d2f8ffcd60edbfd7106a9a646f8b1bcfeb1ff9ce3ff66"
     },
     {
-      "path": "data/internal_test/numina-001160-0000-f74713e819ab4b50.parquet",
-      "sha256": "f74713e819ab4b5078471870cfd6c63b884d5870c19928ca3e04e44754f564ca",
       "bytes": 772427,
+      "path": "data/internal_test/p8e/numina-001160-0000-f74713e819ab4b50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
+      "sha256": "f74713e819ab4b5078471870cfd6c63b884d5870c19928ca3e04e44754f564ca"
     },
     {
-      "path": "data/internal_test/numina-001160-0001-5a0cf01b1540e000.parquet",
-      "sha256": "5a0cf01b1540e000c55fd8d03fcef65d05cfee74766fa1783ed0c96b3155fbd9",
       "bytes": 522809,
+      "path": "data/internal_test/p8e/numina-001160-0001-5a0cf01b1540e000.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 45,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
+      "sha256": "5a0cf01b1540e000c55fd8d03fcef65d05cfee74766fa1783ed0c96b3155fbd9"
     }
-  ],
-  "proof_ids": [
-    "numina:1bc57b11-3cce-5c7d-a564-406eaed6dbd1",
-    "numina:4d5afb34-23ca-557f-b408-f5a39b0a146d",
-    "numina:5b816182-113c-5a96-89bd-b32b44ce59eb",
-    "numina:67442b24-1da5-5517-a869-b6107e9a25c8",
-    "numina:ad4ad267-bba5-5d15-961a-656d69d64ffe"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005800.lean\",\"35e3ca54bdfd6dbb9e595335fb3f16fa5600257e2bcb30c44364eacac80b35b5\",0,\"algebra_250589\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005801.lean\",\"2103ab0b184a406925674509d83cdab13f5b536829241ae1f636ae9855b777a5\",2,\"number_theory_159190\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005802.lean\",\"cdc4827559f82f625aab002e9ab0a4dabf104c57cdec5e04f97fee42408e5e7d\",0,\"number_theory_29628\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005803.lean\",\"28b50e05aabe4521d6b547bd25cee789dc3587c845e70fa5f4516cf86d2ca714\",0,\"number_theory_252431\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005804.lean\",\"ea343983c5c9af8eded853ed717f36ca05a5067546962929d12afb302e08d106\",0,\"number_theory_159209\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001161.json b/manifests/batches/numina/001161.json
index f7e2f020a908071a90f019f9004628158959c50f..fa1384ff7ca13073405cb63da3207425b42ac8c7 100644
--- a/manifests/batches/numina/001161.json
+++ b/manifests/batches/numina/001161.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001161",
   "batch_fingerprint": "0ffd5eefa4b4a59588e4d0eb1971c8332a241361cd7fed3e7cf6a10f18c41094",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001161-0000-a671e5fd58fe9f81.parquet",
-      "sha256": "a671e5fd58fe9f81cbad9777e5f73d22806940275d1a63e9bedd8b85df4433d3",
-      "bytes": 412617,
-      "rows": 42,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5f7ff1c3-5200-5147-b27a-5ad874a5ea07",
     "numina:76eb23bd-c8c2-554c-93f9-b21d3a4d01ec",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005807.lean\",\"77463d04ad445485559c1488a59f4e402f0c264f8ed9a9d887604a991696072f\",0,\"algebra_622181\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005808.lean\",\"df2adea41582f7a4420f9bd234832cd4194a6a7d3c947b32dd3d36bb6544562f\",0,\"number_theory_256956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005809.lean\",\"66a20cbbab3fc1f222f2f8a952b7b5e24820092e340fdcfde68ef8479ec305f1\",0,\"number_theory_118292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412617,
+      "path": "data/train/pd6/numina-001161-0000-a671e5fd58fe9f81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "a671e5fd58fe9f81cbad9777e5f73d22806940275d1a63e9bedd8b85df4433d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001162.json b/manifests/batches/numina/001162.json
index e18a5f85bcd1e33999b019cf66b02aa2384abb58..cedfb92b9c029dfca7ca1005222ee879ce54b983 100644
--- a/manifests/batches/numina/001162.json
+++ b/manifests/batches/numina/001162.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001162",
   "batch_fingerprint": "da12a507550e178996365cf7dcfb0b3455e2720736275fc6cf133a77b33629fd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001162-0000-7bd6c83660b2868a.parquet",
-      "sha256": "7bd6c83660b2868a2c4843b9cbad475519a731ae8b9afd0bdfbe832fec957bec",
-      "bytes": 553277,
-      "rows": 103,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    },
-    {
-      "path": "data/internal_test/numina-001162-0000-97cac046acce0357.parquet",
-      "sha256": "97cac046acce0357c7cd79050923b800e0df86f59a17f3e269d8a459f1ed42dc",
-      "bytes": 117871,
-      "rows": 6,
-      "revision": "04e0b1da5431450cd1515702523e9214bfe1130c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04aeef30-0464-5705-909b-a618782d057c",
     "numina:24adbfdc-769c-56fd-bc66-49c8324255a1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005812.lean\",\"af77a15f709f44e17553611ec4143feb10a012dd379c94a743ba5db01bb6f53c\",0,\"algebra_619696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005813.lean\",\"c6b771a5a258429c11bb3d19ad46bb7ac5c3d091611099544cda027eab8ca1d1\",0,\"algebra_253416\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005814.lean\",\"72b8a9ec2a4ee395620e9dacebec0df9be6c61f607481bfa47dcbc1ffb2f6342\",0,\"number_theory_626808\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 553277,
+      "path": "data/train/p84/numina-001162-0000-7bd6c83660b2868a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "7bd6c83660b2868a2c4843b9cbad475519a731ae8b9afd0bdfbe832fec957bec"
+    },
+    {
+      "bytes": 117871,
+      "path": "data/internal_test/p84/numina-001162-0000-97cac046acce0357.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "97cac046acce0357c7cd79050923b800e0df86f59a17f3e269d8a459f1ed42dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001163.json b/manifests/batches/numina/001163.json
index 728c035bfbebdd2d4be25dc37917c2be9735d3de..6e3a16ac922ea8ea5462db57d16849273dd2b01e 100644
--- a/manifests/batches/numina/001163.json
+++ b/manifests/batches/numina/001163.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001163",
   "batch_fingerprint": "3688e3488fa52bcb2f2f3ccf3d73c7ec32810c863cd09a3283bda9c408cb6e04",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001163-0000-fe9857d0937dbfab.parquet",
-      "sha256": "fe9857d0937dbfab3ecfffa25c2ec1f438288ffa4687d135f51ae333348d4b36",
-      "bytes": 217244,
-      "rows": 37,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/train/numina-001163-0001-9c4da2e03517d7cb.parquet",
-      "sha256": "9c4da2e03517d7cb8ee41758273f1d8d3b3a32c2511b42291e49fdb2a340e1ac",
-      "bytes": 1386103,
-      "rows": 1,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    },
-    {
-      "path": "data/train/numina-001163-0002-39cabd92b4e82d18.parquet",
-      "sha256": "39cabd92b4e82d18d19db3721e351f2638f1cb14862e793ab6a4e0ff146be47b",
-      "bytes": 362438,
-      "rows": 12,
-      "revision": "60f0b06fb8ec7b59f5cdcbe19f3b4464ca368732"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8223dbac-2557-5001-a0af-d0970bea7c98",
     "numina:9e382076-6376-5fc1-b5bc-e8e1d7fcc232",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005817.lean\",\"0947890bc0b940ecdc6a2e7674bd6e847ff1cd86be0e750d7c8823a5c7c4ee12\",0,\"algebra_258818\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005818.lean\",\"e1fcbce6d0009235ef74b24d6091af2158c716eac139bb07010f850549c97d80\",0,\"algebra_127100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005819.lean\",\"c0a8410850704ff43268bc669c5d1560fa71ebd34dee7607d37613e887066497\",0,\"inequalities_4918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217244,
+      "path": "data/train/pbc/numina-001163-0000-fe9857d0937dbfab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "fe9857d0937dbfab3ecfffa25c2ec1f438288ffa4687d135f51ae333348d4b36"
+    },
+    {
+      "bytes": 1386103,
+      "path": "data/train/pbc/numina-001163-0001-9c4da2e03517d7cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9c4da2e03517d7cb8ee41758273f1d8d3b3a32c2511b42291e49fdb2a340e1ac"
+    },
+    {
+      "bytes": 362438,
+      "path": "data/train/pbc/numina-001163-0002-39cabd92b4e82d18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "39cabd92b4e82d18d19db3721e351f2638f1cb14862e793ab6a4e0ff146be47b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001164.json b/manifests/batches/numina/001164.json
index d809fff01399233e1c4f39bb3f90e956ddfc33c0..919d08b66f60a19980174f3f821920519d129410 100644
--- a/manifests/batches/numina/001164.json
+++ b/manifests/batches/numina/001164.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001164",
   "batch_fingerprint": "5d7c3831a2a132c2c5a3499778737e1ccd3061dcda9de4d6face141fb3fbbed3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001164-0000-c3865dc97da2d75d.parquet",
-      "sha256": "c3865dc97da2d75d478b0f2f95a9aca17fccaa3832c897187c895df65324573d",
-      "bytes": 561279,
-      "rows": 18,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/dev/numina-001164-0000-2e948674b7fa32d6.parquet",
-      "sha256": "2e948674b7fa32d683856f58e6ec156e8e77e947d345af422a5763077c334752",
-      "bytes": 74634,
-      "rows": 3,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    },
-    {
-      "path": "data/internal_test/numina-001164-0000-f2f6cb8d42bb4a25.parquet",
-      "sha256": "f2f6cb8d42bb4a25566632463344a47e53ecc4648a0bf771db5cdf86bd4789f8",
-      "bytes": 23108,
-      "rows": 1,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:114e7b4e-0503-5514-bc0c-3c53caca993d",
     "numina:17246a2c-fe3c-50b5-8c6c-22ca25531289",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005822.lean\",\"a93e475646ce8a4fc40595185d53365728e9e99d248dfc8422c88af66bb8c7fc\",0,\"number_theory_3428\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005823.lean\",\"c8dcaac837c805710bc3b55c283dff72b75aa956eeca19b7ceee3933a8ae90e1\",0,\"number_theory_254962\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005824.lean\",\"cf11a9fd377afe04a906c8a996a67f38f5bdfb2d965386a183d052bd8234d8d8\",0,\"number_theory_145783\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 561279,
+      "path": "data/train/pb2/numina-001164-0000-c3865dc97da2d75d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c3865dc97da2d75d478b0f2f95a9aca17fccaa3832c897187c895df65324573d"
+    },
+    {
+      "bytes": 74634,
+      "path": "data/dev/pb2/numina-001164-0000-2e948674b7fa32d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2e948674b7fa32d683856f58e6ec156e8e77e947d345af422a5763077c334752"
+    },
+    {
+      "bytes": 23108,
+      "path": "data/internal_test/pb2/numina-001164-0000-f2f6cb8d42bb4a25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f2f6cb8d42bb4a25566632463344a47e53ecc4648a0bf771db5cdf86bd4789f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001165.json b/manifests/batches/numina/001165.json
index e6eabc29b15fa57914ec2a204b28fbc4f3e748e1..f2e2eef87372ef75e9bec6a2c98dc967e068fc51 100644
--- a/manifests/batches/numina/001165.json
+++ b/manifests/batches/numina/001165.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001165",
   "batch_fingerprint": "c7677acc37c60f9f9638816d554de46fc60d19d3fdaba715f70f73a4b0dbd8b3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001165-0000-a058b820f7ff4d05.parquet",
-      "sha256": "a058b820f7ff4d05efef4f2e7f45048930012125b7c9c305e09bdd3d10673dd3",
-      "bytes": 417684,
-      "rows": 35,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a94a611-308d-5390-b372-a5aa2bc2b568",
     "numina:36348d19-2f05-55b7-9ba7-f9a244e700d0",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005827.lean\",\"da034dfb409c3754433025eff3df077fb0fa6a42d3988ef0c5a771f0b6983e0a\",1,\"algebra_255751\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005828.lean\",\"0fc93dd5cba1e2cfc1d7dfe6809969c99bcb5e2d218a91905f83ee914ae6edfb\",0,\"number_theory_6202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005829.lean\",\"8d5545af86bdb652afa1cc39acb99590c0b6c060a74f341e4e6fd50e879cb282\",0,\"algebra_256869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417684,
+      "path": "data/train/p1e/numina-001165-0000-a058b820f7ff4d05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "a058b820f7ff4d05efef4f2e7f45048930012125b7c9c305e09bdd3d10673dd3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001166.json b/manifests/batches/numina/001166.json
index 5d214089183adde2ac140151e4229b09f57b5bb1..ec1583b959bbb0b8ce2d01fc8177aa13a71be04c 100644
--- a/manifests/batches/numina/001166.json
+++ b/manifests/batches/numina/001166.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001166",
   "batch_fingerprint": "3de40d6d863a0abbef24c145d883d1192550e969ec250a9b1e94f0f8c31bb546",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001166-0000-0d6df19d194e3e25.parquet",
-      "sha256": "0d6df19d194e3e25ab2a19f4ce0646ba098010d7b8d9223694a74b7554052b46",
-      "bytes": 491134,
-      "rows": 36,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a891d0e-b741-58f3-9d9d-bafbaa29d9cb",
     "numina:51bbc286-a63c-5653-a6bc-13039624196b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005832.lean\",\"a995ea2d48ebddceee280d78388949da710c7b41c88a004e6175a2f17fa624d6\",0,\"number_theory_254834\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005833.lean\",\"ea336981c292897e1ab683b037276ac1ba97deec75f80734b39b23c9802a1afb\",0,\"calculus_142522\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005834.lean\",\"6434b4f996fbec7e3bf683be7883f67cfa7cd31cb763a60dfac73cd668d7d735\",0,\"algebra_255098\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 491134,
+      "path": "data/train/p72/numina-001166-0000-0d6df19d194e3e25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "0d6df19d194e3e25ab2a19f4ce0646ba098010d7b8d9223694a74b7554052b46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001167.json b/manifests/batches/numina/001167.json
index 3be4a9a356e3bf343be93d01cde4ab7db455a238..46ad2b6a324a5c478466dfc8d3dd52966e3289cf 100644
--- a/manifests/batches/numina/001167.json
+++ b/manifests/batches/numina/001167.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001167",
   "batch_fingerprint": "77ad26a790e417fc3bd6513d64a7844e83f3e40b432145eac834e2d4a71422d0",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:37275ce1-4659-59f7-bdb2-3f502e93369b",
+    "numina:40875815-89ae-5372-87b2-ad615daca738",
+    "numina:846e04c0-161c-5cf4-84bd-9261c69a922a",
+    "numina:b5f36541-f834-59d8-adb1-e9307086fd28",
+    "numina:dc9aeb34-c6a5-5f1f-9718-e93682eb5272"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005835.lean\",\"31b0a8824b3d9752877e7118df641ca30f2659b654a3b2bc20f868b73d26039a\",0,\"number_theory_130118\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005836.lean\",\"39e96f59b2799542ab306247e920febb40ea071cba9125f5740904e4461932c7\",0,\"algebra_130130\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005837.lean\",\"2c4f92bef5cf14eb732f7721a1da811e6cebd0444ba767df59710767ace0581e\",0,\"number_theory_252529\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005838.lean\",\"3291ce297fe4ae8da3819269440e5b6071009e660c58e8a88f3ee5227891f30c\",0,\"algebra_150937\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005839.lean\",\"fed7de8f1663587bfcf982e09267eef9920bc2791140944c283a9faa0dc881e8\",2,\"algebra_605754\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001167-0000-709878ecfd6c20e0.parquet",
-      "sha256": "709878ecfd6c20e01f708444fe06d366f08fe631a5eca5b00f3a209f8d01e100",
       "bytes": 21212,
+      "path": "data/train/p60/numina-001167-0000-709878ecfd6c20e0.parquet",
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       "rows": 1,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
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-      "sha256": "71ade9b90c55edadf02aeb2b4b9103971a05b866497e08ae09bed4b21ee3585e",
       "bytes": 116674,
+      "path": "data/dev/p60/numina-001167-0000-71ade9b90c55edad.parquet",
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       "rows": 11,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
+      "sha256": "71ade9b90c55edadf02aeb2b4b9103971a05b866497e08ae09bed4b21ee3585e"
     },
     {
-      "path": "data/internal_test/numina-001167-0000-cc5a563d652450a2.parquet",
-      "sha256": "cc5a563d652450a27ffe230c2eecd142c94231c5bc0a61430adbccd02dbdf41b",
       "bytes": 550216,
+      "path": "data/internal_test/p60/numina-001167-0000-cc5a563d652450a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
+      "sha256": "cc5a563d652450a27ffe230c2eecd142c94231c5bc0a61430adbccd02dbdf41b"
     },
     {
-      "path": "data/internal_test/numina-001167-0001-81c7363cbbd5be42.parquet",
-      "sha256": "81c7363cbbd5be42aa05c97cf534c194e35dfde9b5b6f845c3f6b1496838fa9a",
       "bytes": 88491,
+      "path": "data/internal_test/p60/numina-001167-0001-81c7363cbbd5be42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
+      "sha256": "81c7363cbbd5be42aa05c97cf534c194e35dfde9b5b6f845c3f6b1496838fa9a"
     }
-  ],
-  "proof_ids": [
-    "numina:37275ce1-4659-59f7-bdb2-3f502e93369b",
-    "numina:40875815-89ae-5372-87b2-ad615daca738",
-    "numina:846e04c0-161c-5cf4-84bd-9261c69a922a",
-    "numina:b5f36541-f834-59d8-adb1-e9307086fd28",
-    "numina:dc9aeb34-c6a5-5f1f-9718-e93682eb5272"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005835.lean\",\"31b0a8824b3d9752877e7118df641ca30f2659b654a3b2bc20f868b73d26039a\",0,\"number_theory_130118\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005836.lean\",\"39e96f59b2799542ab306247e920febb40ea071cba9125f5740904e4461932c7\",0,\"algebra_130130\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005837.lean\",\"2c4f92bef5cf14eb732f7721a1da811e6cebd0444ba767df59710767ace0581e\",0,\"number_theory_252529\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005838.lean\",\"3291ce297fe4ae8da3819269440e5b6071009e660c58e8a88f3ee5227891f30c\",0,\"algebra_150937\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005839.lean\",\"fed7de8f1663587bfcf982e09267eef9920bc2791140944c283a9faa0dc881e8\",2,\"algebra_605754\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001168.json b/manifests/batches/numina/001168.json
index f395642197e757e1f2470197b6755f9572fe9b8e..61a1562a6bc92f0408155e7b7e862d7e29b3a87e 100644
--- a/manifests/batches/numina/001168.json
+++ b/manifests/batches/numina/001168.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001168",
   "batch_fingerprint": "d926f7adff5e989901fce9ee60569fbda0ea493d27f6c40b0da81319b671d471",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001168-0000-87025dc7ab7807a8.parquet",
-      "sha256": "87025dc7ab7807a830da186e1128f6996bb901e3d4ecfea400f2efade57767cc",
-      "bytes": 617369,
-      "rows": 29,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/train/numina-001168-0001-92cd12081247a911.parquet",
-      "sha256": "92cd12081247a91181b43d4233271cfc02a1dec65d04863ae6dc568793c49c08",
-      "bytes": 781642,
-      "rows": 17,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/dev/numina-001168-0000-a7a32315d9efd7a6.parquet",
-      "sha256": "a7a32315d9efd7a617ed46cfba0f0a7040d2b03825d2d6e6203867834e709895",
-      "bytes": 76955,
-      "rows": 9,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4b794509-4d49-5f1e-8ce7-6cebf16a51be",
     "numina:52ec04a5-8e6c-5d6a-a476-1042eab704dc",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005842.lean\",\"20133886f7f5d1a9cf564c6e33db48b9856f16a4814191905a977a12a385542e\",0,\"number_theory_258338\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005843.lean\",\"b232dfebc95bc403599ddc723a610a80b91f8e34a21c00eb3112df2b47dff4dc\",0,\"calculus_36549\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005844.lean\",\"fc0078cee85b0c1ad23ca6575985768223facc7c86d8b293a09ac96ce58cb81e\",0,\"Inequalities_147869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617369,
+      "path": "data/train/pd0/numina-001168-0000-87025dc7ab7807a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "87025dc7ab7807a830da186e1128f6996bb901e3d4ecfea400f2efade57767cc"
+    },
+    {
+      "bytes": 781642,
+      "path": "data/train/pd0/numina-001168-0001-92cd12081247a911.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "92cd12081247a91181b43d4233271cfc02a1dec65d04863ae6dc568793c49c08"
+    },
+    {
+      "bytes": 76955,
+      "path": "data/dev/pd0/numina-001168-0000-a7a32315d9efd7a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a7a32315d9efd7a617ed46cfba0f0a7040d2b03825d2d6e6203867834e709895"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001169.json b/manifests/batches/numina/001169.json
index 49f366d67bbcd1b633e6df2af64b62683f228892..97ffb08a2054cf68e65f34c827157d7ff9d8da1c 100644
--- a/manifests/batches/numina/001169.json
+++ b/manifests/batches/numina/001169.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001169",
   "batch_fingerprint": "cebb471aed9bcba050a40bdceca53f06889e3b4753835a6e93ebdb3650fc7d72",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001169-0000-c3357af079046aa2.parquet",
-      "sha256": "c3357af079046aa28866b45bd081f5e847eaef55e8ec9d16971ef4e6556e4a1b",
-      "bytes": 683735,
-      "rows": 24,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/train/numina-001169-0001-57105402a4aeef38.parquet",
-      "sha256": "57105402a4aeef38e45729db34856c4ed45b5f3aa05747b69183e0c639bb3d75",
-      "bytes": 746376,
-      "rows": 33,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/numina-001169-0000-d895235b542b0119.parquet",
-      "sha256": "d895235b542b01194265fe76f7a36f762388290f252459e34aec83c195f731e8",
-      "bytes": 201206,
-      "rows": 14,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:153aa8ef-acec-556b-a46f-afcada687a4e",
     "numina:91bb9d7e-b1c1-5649-b868-4c6e36a95fed",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005847.lean\",\"eb19fd17e1a120dab268f39c520d7082bd0923d81606683b99c4a7d317ee65fd\",0,\"number_theory_271484\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005848.lean\",\"21f6eea1c4067aae795f44a7221c81273e1804133e2214a24a8419ba5b1ec118\",0,\"number_theory_600456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005849.lean\",\"8a78a4b33e73b1191fdef2005a37d9c655878884dddc2f4f3b5c006a3293f9a7\",0,\"number_theory_128892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 683735,
+      "path": "data/train/pa2/numina-001169-0000-c3357af079046aa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c3357af079046aa28866b45bd081f5e847eaef55e8ec9d16971ef4e6556e4a1b"
+    },
+    {
+      "bytes": 746376,
+      "path": "data/train/pa2/numina-001169-0001-57105402a4aeef38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "57105402a4aeef38e45729db34856c4ed45b5f3aa05747b69183e0c639bb3d75"
+    },
+    {
+      "bytes": 201206,
+      "path": "data/internal_test/pa2/numina-001169-0000-d895235b542b0119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d895235b542b01194265fe76f7a36f762388290f252459e34aec83c195f731e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001170.json b/manifests/batches/numina/001170.json
index 93d65b51f7549a374210fc3efa178e0d9c920653..bcc76acd857bb97008638f133a69a4818f798c88 100644
--- a/manifests/batches/numina/001170.json
+++ b/manifests/batches/numina/001170.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001170",
   "batch_fingerprint": "7de7df7082d5a5ac20f36f41b1c9b47b4023d2126477535f164583ede265b4bf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001170-0000-063f62282b7ac664.parquet",
-      "sha256": "063f62282b7ac66457f529c7da0a4b9d9f3329d253722b62508d9c65d9f0eadf",
-      "bytes": 648871,
-      "rows": 39,
-      "revision": "2bac0d6fed5bbac4cc041479575c727f538d876a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:020fd724-df38-5489-9dcc-77bff1078221",
     "numina:0a890f73-d69a-50c8-9be1-5a543a6a522b",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005852.lean\",\"a37ff94ccbb5af6076ea49c4ef6507741210225c16d4c89dafe7b3ce3eea104f\",0,\"algebra_135834\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005853.lean\",\"41591e18a0ccab5626e450027d9f4cdd77d5d292ba63ff62e233bed8ebc2f9ed\",2,\"number_theory_137791\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005854.lean\",\"fe5f6487aa111cec184a593bfdac1dc7cdd55bdaa4d4297341194e1768bf2ff0\",0,\"algebra_272513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 648871,
+      "path": "data/train/p37/numina-001170-0000-063f62282b7ac664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "063f62282b7ac66457f529c7da0a4b9d9f3329d253722b62508d9c65d9f0eadf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001171.json b/manifests/batches/numina/001171.json
index 1b85caa912d20719f8b91b34ba72c98c74ead417..604593ba0284ba136c59dc2c138103dd1141421a 100644
--- a/manifests/batches/numina/001171.json
+++ b/manifests/batches/numina/001171.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001171",
   "batch_fingerprint": "4aa33212059c6c5242461db299df5e4d7eb0013d28a31ba016f27316276edf72",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001171-0000-0ecb04afc20072e3.parquet",
-      "sha256": "0ecb04afc20072e3d0efccdd231186bb21ef37f91627a0827f9c800a8d6045ff",
-      "bytes": 780806,
-      "rows": 42,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/train/numina-001171-0001-a73ca95691e0946d.parquet",
-      "sha256": "a73ca95691e0946d220f42cfb84b1f68a6bdcba37b1a8ea3e4b79ad17d3b5105",
-      "bytes": 529976,
-      "rows": 10,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    },
-    {
-      "path": "data/internal_test/numina-001171-0000-63d26c202ac3795f.parquet",
-      "sha256": "63d26c202ac3795f239678e769329ac883da3a6492df87fbcff371e28191ae33",
-      "bytes": 162079,
-      "rows": 4,
-      "revision": "9f7ee7cc01e86cc86b54922c74f5bf6c2944ef33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1003550f-7b44-5a9f-953b-7fb8c7457794",
     "numina:46623d74-f887-5d60-a3b6-a98a8490279a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005857.lean\",\"41b47f528f4cded37483074c98baa4e3bf6ad405e9808ebb724b75dd39127768\",0,\"calculus_137670\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005858.lean\",\"144af8a2b04d4fd55ec3b15ea6c1b27ecba35f2deb954fcbb25c335814c4e7fc\",0,\"algebra_289560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005859.lean\",\"da4b1944e3e2810361c04d3b825fc916f04815ce4c550367e96e46bdfd62d53c\",0,\"number_theory_136633\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 780806,
+      "path": "data/train/p56/numina-001171-0000-0ecb04afc20072e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "0ecb04afc20072e3d0efccdd231186bb21ef37f91627a0827f9c800a8d6045ff"
+    },
+    {
+      "bytes": 529976,
+      "path": "data/train/p56/numina-001171-0001-a73ca95691e0946d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a73ca95691e0946d220f42cfb84b1f68a6bdcba37b1a8ea3e4b79ad17d3b5105"
+    },
+    {
+      "bytes": 162079,
+      "path": "data/internal_test/p56/numina-001171-0000-63d26c202ac3795f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "63d26c202ac3795f239678e769329ac883da3a6492df87fbcff371e28191ae33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001172.json b/manifests/batches/numina/001172.json
index 89e344fb6912c0015de89df3f365bc8d12446b6e..0c9a10aad4418efbddddd888ee468500d81afa02 100644
--- a/manifests/batches/numina/001172.json
+++ b/manifests/batches/numina/001172.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001172",
   "batch_fingerprint": "d92037944d57d5c676feb78f12cc4c3e86b023d0ecf3c799c4d5739e7d4f7303",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001172-0000-c8a843f6e398239a.parquet",
-      "sha256": "c8a843f6e398239a7f340a6773e834aad8f3979254f1b9ab9b93dc168a28f471",
-      "bytes": 214618,
-      "rows": 24,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06e244fd-2e52-5fbf-801b-7402ec67c0a9",
     "numina:12606f80-acee-5ec6-8405-37320c80249e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005862.lean\",\"f1080ba022e3d24169120063fd2c3b648fffbe5e0138b22cbe662c295ff63461\",0,\"number_theory_131132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005863.lean\",\"5f2a5a4d12b7bf03d174fbd69ecf78bce19d6136a700e6f3035557e6d5c64e23\",0,\"number_theory_289621\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005864.lean\",\"afa42386c1e2f36d4694cedbc1b329b2bd4985b055668fd363b886a3467798fc\",0,\"inequalities_37992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214618,
+      "path": "data/train/p4f/numina-001172-0000-c8a843f6e398239a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c8a843f6e398239a7f340a6773e834aad8f3979254f1b9ab9b93dc168a28f471"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001173.json b/manifests/batches/numina/001173.json
index 2bc7abb3bb06d6f3b9af592166d8fe031a2f6ab3..2f744e61dbfe1605e014079fd90e5716e99c7bd8 100644
--- a/manifests/batches/numina/001173.json
+++ b/manifests/batches/numina/001173.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001173",
   "batch_fingerprint": "85d8e1e45ccdcace4f0fdb823ee2358ffdb1ea4d5f77124ef178fe34eb61e367",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001173-0000-3709c9168b5e6c6c.parquet",
-      "sha256": "3709c9168b5e6c6c5f7c8185699b5fc88a3f9fb4dca3e8840e20f06ba0033585",
-      "bytes": 519105,
-      "rows": 71,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:40504841-30e8-5de0-8606-a375283bbcd6",
     "numina:6f1ee239-b36a-5196-87ab-2c327d4b6704",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005867.lean\",\"857decc1835242e2b7efa259bed3c6ce38372422e4b4688c5eb828ee20032226\",0,\"number_theory_264384\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005868.lean\",\"7d1170f99d1e468bd669b338f213366d96eb1ad866d23f159bd83364b9a4a3b0\",0,\"algebra_139025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005869.lean\",\"d711af917fab8ccbc366b142a13f5b324f0e6719f102857d11ebd7ecf8174534\",0,\"number_theory_139175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519105,
+      "path": "data/train/p48/numina-001173-0000-3709c9168b5e6c6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "3709c9168b5e6c6c5f7c8185699b5fc88a3f9fb4dca3e8840e20f06ba0033585"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001174.json b/manifests/batches/numina/001174.json
index 3f7cced1685523a1c97a5fc2e0da6b3e6765a565..5bb86281fea48c4e09069afb29fcc11386fa1081 100644
--- a/manifests/batches/numina/001174.json
+++ b/manifests/batches/numina/001174.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001174",
   "batch_fingerprint": "39fd1b542f0883a3bff864177d45be436b10767ce5ab1955caff28a0f1ffd27c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001174-0000-04ff8cbbd84fbdcd.parquet",
-      "sha256": "04ff8cbbd84fbdcd0a40ff15e277cdc377e8562625c4c38fa981ea9ce6f94c95",
-      "bytes": 497745,
-      "rows": 52,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/train/numina-001174-0001-a4563963b206d7ff.parquet",
-      "sha256": "a4563963b206d7ff57d7af30103aa9dfbd0db7c8b484775405ca1485dc6cfc9f",
-      "bytes": 186345,
-      "rows": 2,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/numina-001174-0000-7d09294db7e1d5d4.parquet",
-      "sha256": "7d09294db7e1d5d4ca0c0ad953c717d40f58ba7d11e334ff3816c067a85ccc33",
-      "bytes": 47861,
-      "rows": 6,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:068f16a3-2f51-5d70-b20a-f720f1cda9f6",
     "numina:24851248-218a-584a-ae51-e7bf911eff6e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005872.lean\",\"853496c79889e72bcfb023b15cec11ad5e0e05318183fdca72d21e60e932c5b0\",0,\"calculus_138827\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005873.lean\",\"f773c2c3ec4d634294c403d38035dd96862b143159968bf9fbbd14ff0eabfde6\",0,\"algebra_135494\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005874.lean\",\"98ac4790824c6e9ecdb1009c66149fa21ab2baa244a372c172d9f81ad916fdbf\",0,\"number_theory_266745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497745,
+      "path": "data/train/p1a/numina-001174-0000-04ff8cbbd84fbdcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "04ff8cbbd84fbdcd0a40ff15e277cdc377e8562625c4c38fa981ea9ce6f94c95"
+    },
+    {
+      "bytes": 186345,
+      "path": "data/train/p1a/numina-001174-0001-a4563963b206d7ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a4563963b206d7ff57d7af30103aa9dfbd0db7c8b484775405ca1485dc6cfc9f"
+    },
+    {
+      "bytes": 47861,
+      "path": "data/dev/p1a/numina-001174-0000-7d09294db7e1d5d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7d09294db7e1d5d4ca0c0ad953c717d40f58ba7d11e334ff3816c067a85ccc33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001175.json b/manifests/batches/numina/001175.json
index 5bdd1f0a51792a4297ba57450d2ed4b21f5fe31c..04793a129072bd17f68289ba26d4f962b7ef472e 100644
--- a/manifests/batches/numina/001175.json
+++ b/manifests/batches/numina/001175.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001175",
   "batch_fingerprint": "4c62a593d96ff5f2c2f18ea05e9fdae63ef14837651475d0a1b519dd6a7c6186",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001175-0000-1c90f4f322249762.parquet",
-      "sha256": "1c90f4f322249762d0c9651935ee4460d3cc0f5842a41afef31fe139059f4581",
-      "bytes": 311359,
-      "rows": 60,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    },
-    {
-      "path": "data/dev/numina-001175-0000-bc2b0b9a77b582ec.parquet",
-      "sha256": "bc2b0b9a77b582ec5891aaeae0d327da87201a7a081f8d2789b10fee0bdf689d",
-      "bytes": 55872,
-      "rows": 9,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d918667-79f3-5936-bd54-e8ed94863538",
     "numina:534d0f42-9254-5fa5-ae04-f7cedcddbfab",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005877.lean\",\"708d562ea407238230eefad619b93d3952617db505e191d30ae61696b2a2b2a5\",0,\"number_theory_190500\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005878.lean\",\"317d549f57ca6b44eb7e99cb4b764e3d9303c8e0c551ba4e8024449f7a207da0\",3,\"algebra_190727\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005879.lean\",\"17199a4019cc935436da4f67bd75d9a740f797bd1d9d6a7cda3bcdca4e170c68\",3,\"number_theory_295118\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311359,
+      "path": "data/train/p72/numina-001175-0000-1c90f4f322249762.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "1c90f4f322249762d0c9651935ee4460d3cc0f5842a41afef31fe139059f4581"
+    },
+    {
+      "bytes": 55872,
+      "path": "data/dev/p72/numina-001175-0000-bc2b0b9a77b582ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bc2b0b9a77b582ec5891aaeae0d327da87201a7a081f8d2789b10fee0bdf689d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001176.json b/manifests/batches/numina/001176.json
index 2f6c349bbe8ac10881eb19eae0a16c5b2bf869cc..d1920d194558029c9504ad57b16de59e1820763f 100644
--- a/manifests/batches/numina/001176.json
+++ b/manifests/batches/numina/001176.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001176",
   "batch_fingerprint": "85bd814770318fee4193ad0df71a22f83f8e869ee26711e7800219bd8b1d97c6",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001176-0000-64bac6eb6686dab7.parquet",
-      "sha256": "64bac6eb6686dab74083769349926a710da12f0ae32255670c590ff4c2ef60c0",
-      "bytes": 515581,
-      "rows": 123,
-      "revision": "160f1cc216c96ed97eed787dd32318f0ea6b31a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:81b1126c-7620-500a-b65d-23d7ddb7eff2",
     "numina:938a30e4-e8aa-5206-bdda-18c570091b36",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005881.lean\",\"2aed1393124aa05a6ac88af49aa91b6a009180669412a69ddf1a6d1f6aab01a2\",0,\"number_theory_134332\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005882.lean\",\"126d6250f3373e58e654dc0d385e2eca482f1ada754fa0fa9d02e714cc6450fc\",0,\"number_theory_267740\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005884.lean\",\"ff6766955981fc7c8ba70378119824e4ae475ffdb169b17701c75008290749eb\",0,\"number_theory_283008\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515581,
+      "path": "data/train/p92/numina-001176-0000-64bac6eb6686dab7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 123,
+      "sha256": "64bac6eb6686dab74083769349926a710da12f0ae32255670c590ff4c2ef60c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001177.json b/manifests/batches/numina/001177.json
index 3024a1e69c258558480ce56e6c4676cd0dbc028f..012b78e090df698297acb86843f3b498490f2024 100644
--- a/manifests/batches/numina/001177.json
+++ b/manifests/batches/numina/001177.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001177",
   "batch_fingerprint": "c0157f533143aaecf3a6f636d6c3d8d2a4544d35c44ac94543e1873715e7223f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001177-0000-94bfad6cd80c2a8b.parquet",
-      "sha256": "94bfad6cd80c2a8bd474e1e2207f7719830901df07a9700715233c7029ce4cf0",
-      "bytes": 691146,
-      "rows": 24,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/train/numina-001177-0001-8f5c0bac427b133a.parquet",
-      "sha256": "8f5c0bac427b133a68f03691235ed2ad1d8351b2301e491dca825668070af5a1",
-      "bytes": 1397508,
-      "rows": 67,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1cab3041-780b-5675-bddf-0e21b53fea9f",
     "numina:31ed26b4-f003-5af7-a6ba-b606ce191ce2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005887.lean\",\"a722c348d9721e73d92ec6d4ea473f410c705c2928e8ff42bd53fbe24ea1ccf0\",0,\"number_theory_266978\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005888.lean\",\"49eb16a8f528857f03e44cc5a29e9fcde6dae9cd47a23e8ac4873131fffe3c2f\",0,\"algebra_140261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005889.lean\",\"497a3b7225dc30e310cc0244f819a3dec65fb0b26aa56c8e140f3d2e981ec92e\",0,\"number_theory_268866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 691146,
+      "path": "data/train/pdb/numina-001177-0000-94bfad6cd80c2a8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "94bfad6cd80c2a8bd474e1e2207f7719830901df07a9700715233c7029ce4cf0"
+    },
+    {
+      "bytes": 1397508,
+      "path": "data/train/pdb/numina-001177-0001-8f5c0bac427b133a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "8f5c0bac427b133a68f03691235ed2ad1d8351b2301e491dca825668070af5a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001178.json b/manifests/batches/numina/001178.json
index 1a76f9f9000817bcecdda7af19295fec8a69937b..a6dfc9ef58ddd90889d3dfcc7fc136478efd93e1 100644
--- a/manifests/batches/numina/001178.json
+++ b/manifests/batches/numina/001178.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001178",
   "batch_fingerprint": "0d0359d6556f6f95d7c9a85adf2c7f633ebd058edebe6fe9e26a99a6c6117928",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001178-0000-d64f6021ecc002bd.parquet",
-      "sha256": "d64f6021ecc002bdcf1b014b85993747d27b12689096ca763ea52d6282107c40",
-      "bytes": 590049,
-      "rows": 80,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/train/numina-001178-0001-6baa4ccc37dda943.parquet",
-      "sha256": "6baa4ccc37dda943b68660a928acca424acf40346ea5812c187105a27556bcd1",
-      "bytes": 675738,
-      "rows": 41,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/train/numina-001178-0002-fd0c9ef122e7947c.parquet",
-      "sha256": "fd0c9ef122e7947cc8c8d20007eba46cf042818338712c06312b658e9ab60c41",
-      "bytes": 112967,
-      "rows": 4,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:54084cce-3aac-5ac2-829c-a8496cc1b19d",
     "numina:798e0334-6b80-5f90-b827-a0bd119e78de",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005892.lean\",\"5b16efa2e5125c1bccac6b7996ceaad3ad1dd8244e6d46c39c37b6b36b8d60b8\",0,\"algebra_150704\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005893.lean\",\"c8c2ad56db9cb35b8ebade3655bb720118b111404aa8ebbbdb102f4ad2cfc210\",0,\"algebra_136138\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005894.lean\",\"ef92b7650386112d75126be00397d2131261cc193fafd99e75c2ac148b70dbc3\",0,\"calculus_148263\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590049,
+      "path": "data/train/p25/numina-001178-0000-d64f6021ecc002bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 80,
+      "sha256": "d64f6021ecc002bdcf1b014b85993747d27b12689096ca763ea52d6282107c40"
+    },
+    {
+      "bytes": 675738,
+      "path": "data/train/p25/numina-001178-0001-6baa4ccc37dda943.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "6baa4ccc37dda943b68660a928acca424acf40346ea5812c187105a27556bcd1"
+    },
+    {
+      "bytes": 112967,
+      "path": "data/train/p25/numina-001178-0002-fd0c9ef122e7947c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fd0c9ef122e7947cc8c8d20007eba46cf042818338712c06312b658e9ab60c41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001179.json b/manifests/batches/numina/001179.json
index 81877864f4aa51c7cf6fd472ab901902aca1fa97..5319c35eb8dc3c27d4148698850e69aeff5976b8 100644
--- a/manifests/batches/numina/001179.json
+++ b/manifests/batches/numina/001179.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001179",
   "batch_fingerprint": "80655d1f830ab40c7731cc2cc4c2b105a2bbc6850b2210b53fcf60c3d1da75bb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001179-0000-affb7a6e66aaee1c.parquet",
-      "sha256": "affb7a6e66aaee1c651fbc39540b112f7ad92b9392af7f1f8c98636a81bc0e08",
-      "bytes": 417589,
-      "rows": 36,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    },
-    {
-      "path": "data/train/numina-001179-0001-56a254a45b77a9c9.parquet",
-      "sha256": "56a254a45b77a9c9c47e333303a272a963e49db93605165da29f103609943e36",
-      "bytes": 468697,
-      "rows": 8,
-      "revision": "81ab65830b54349662a3ee68d64712fc7a308a54"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0be3615c-ea1a-5c47-96b3-87b9225b600d",
     "numina:125f31cf-5731-57df-81aa-79664e55f134",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005897.lean\",\"f2eda9fea1f43cc121c1776833e18e999548ff3c559c619f617aa07039bd2ece\",0,\"algebra_145653\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005899.lean\",\"5b4edb11f45a00557cccb82169ee16c5d70e3ae0d2625e746f5feef151664dda\",0,\"number_theory_144357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417589,
+      "path": "data/train/p96/numina-001179-0000-affb7a6e66aaee1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "affb7a6e66aaee1c651fbc39540b112f7ad92b9392af7f1f8c98636a81bc0e08"
+    },
+    {
+      "bytes": 468697,
+      "path": "data/train/p96/numina-001179-0001-56a254a45b77a9c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "56a254a45b77a9c9c47e333303a272a963e49db93605165da29f103609943e36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001180.json b/manifests/batches/numina/001180.json
index b79a87b4a6d032783ba53a8fda1dfa8d525a403a..69e782c93fd9b1c874b6ac3cb7057e5e620fe812 100644
--- a/manifests/batches/numina/001180.json
+++ b/manifests/batches/numina/001180.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001180",
   "batch_fingerprint": "b9b9e5e851f4c85ed5b17c5fa72324e8289fe2f2e38a6be3a44b61c83039595b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001180-0000-367c8e2515cc8d10.parquet",
-      "sha256": "367c8e2515cc8d10e54499bf8ae0b6e7c289873a1b8fdee1074ea373279e01ba",
-      "bytes": 690604,
-      "rows": 9,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/train/numina-001180-0001-2c13f69a93af173b.parquet",
-      "sha256": "2c13f69a93af173bbdce7ef772b75495c3d4649b7604f9eca5a9544bb21e5d8e",
-      "bytes": 415684,
-      "rows": 12,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/internal_test/numina-001180-0000-041b831f4b8da651.parquet",
-      "sha256": "041b831f4b8da6516bf6246cdaa4a3be6c5680170df6d71ce79b13862e8fb490",
-      "bytes": 148125,
-      "rows": 4,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00ef8c63-efda-5185-8b45-565222507f71",
     "numina:099397dd-5aac-556b-8caa-fdee269872ab",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005902.lean\",\"ea2cec5d5c613e2ea9b4b91ff3b2320e2246502197e395a2b9e05040acd526d9\",0,\"algebra_273840\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 690604,
+      "path": "data/train/pd4/numina-001180-0000-367c8e2515cc8d10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "367c8e2515cc8d10e54499bf8ae0b6e7c289873a1b8fdee1074ea373279e01ba"
+    },
+    {
+      "bytes": 415684,
+      "path": "data/train/pd4/numina-001180-0001-2c13f69a93af173b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2c13f69a93af173bbdce7ef772b75495c3d4649b7604f9eca5a9544bb21e5d8e"
+    },
+    {
+      "bytes": 148125,
+      "path": "data/internal_test/pd4/numina-001180-0000-041b831f4b8da651.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "041b831f4b8da6516bf6246cdaa4a3be6c5680170df6d71ce79b13862e8fb490"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001181.json b/manifests/batches/numina/001181.json
index 2163326ed6c175bd695f4208e51b57320b447805..fd9b1d071462845aa826e84555f498a1ab2a7aee 100644
--- a/manifests/batches/numina/001181.json
+++ b/manifests/batches/numina/001181.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001181",
   "batch_fingerprint": "82432c69c1913377a523ecdf356f875cb311f4e0a86d1d124dff4ae147af4861",
   "evidence": {
@@ -18,62 +17,63 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2e51b927-9d65-5076-84f4-4312ff1bc097",
+    "numina:81c16b9b-208d-58b4-8b8c-75e80a302a4c",
+    "numina:887ceaa9-7371-59ea-bfe4-a980a5f2ff1d",
+    "numina:b5949823-f326-5889-b50e-9bba6cf8bbb4",
+    "numina:fb106e23-69d4-592b-a1df-0499f0640604"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005905.lean\",\"d632cfb68be7d0950194360e544235370f8f5d7fbeab1f02f75071e4e8b6aeda\",0,\"number_theory_272215\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005906.lean\",\"c35047f804a27f4cbcde0f36ce684ba35e524c26e7b182dba54e2b9b1f1d6821\",0,\"inequalities_603754\"]",
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+  ],
   "shards": [
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-      "sha256": "e5ce06e63cb53654f9988172c6ad6beaec3b037b7758a3bd0ecf217318ffa7dc",
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+      "path": "data/internal_test/p13/numina-001181-0000-e5ce06e63cb53654.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
+      "sha256": "e5ce06e63cb53654f9988172c6ad6beaec3b037b7758a3bd0ecf217318ffa7dc"
     }
-  ],
-  "proof_ids": [
-    "numina:2e51b927-9d65-5076-84f4-4312ff1bc097",
-    "numina:81c16b9b-208d-58b4-8b8c-75e80a302a4c",
-    "numina:887ceaa9-7371-59ea-bfe4-a980a5f2ff1d",
-    "numina:b5949823-f326-5889-b50e-9bba6cf8bbb4",
-    "numina:fb106e23-69d4-592b-a1df-0499f0640604"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005905.lean\",\"d632cfb68be7d0950194360e544235370f8f5d7fbeab1f02f75071e4e8b6aeda\",0,\"number_theory_272215\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005906.lean\",\"c35047f804a27f4cbcde0f36ce684ba35e524c26e7b182dba54e2b9b1f1d6821\",0,\"inequalities_603754\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005907.lean\",\"50a1fa01af53d8503c5c23078a447731816926927996393b07e4544fc4debeef\",0,\"number_theory_274432\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005908.lean\",\"a4a2c964047364b0fd00126c02d780133f8e0fe22e4a00afe62e7970e69a0d97\",0,\"algebra_144975\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005909.lean\",\"86c49c26dc90ed22771380bca3ebd549704cdefb16bcdc3f70c8068b8a1e8f41\",0,\"number_theory_155969\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001182.json b/manifests/batches/numina/001182.json
index e2fae4c1e38269d240ceebba645babfcddfe7f4f..650f9e3fbe15eeee7ed63a6fc85696f1ed793a12 100644
--- a/manifests/batches/numina/001182.json
+++ b/manifests/batches/numina/001182.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001182",
   "batch_fingerprint": "c179d97c9cfd5189d59d897ec200827cb694a0ff8568316cd55daaf30bf06e61",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001182-0000-468b258f767912c0.parquet",
-      "sha256": "468b258f767912c0a03a3d8fc118bbcf3509fda221a8fef4e7d10718cd7d4fc0",
-      "bytes": 557704,
-      "rows": 22,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/numina-001182-0000-782c16f942313894.parquet",
-      "sha256": "782c16f9423138945ec6fe09cc590e45d575b0888b27ff975ce736d5ab001b20",
-      "bytes": 163880,
-      "rows": 6,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a4627e8-ee71-5b01-94af-c04bb4de3df2",
     "numina:51966ae2-d5a3-5461-af8c-6e68d67a4be9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005912.lean\",\"6e471e2af9caa213c61af7e1f9146967ee2a56e763bb956268f6661da7518811\",0,\"algebra_93744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005913.lean\",\"44560cdbb279b968fd3d8a0e971db44c346cb59e5befa44a572aafcdb9f26583\",0,\"algebra_148976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005914.lean\",\"bca01b601e869520e5829a493540d6ba177eba26f323a4f02ccc0aebb3941bd3\",0,\"number_theory_280455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 557704,
+      "path": "data/train/p00/numina-001182-0000-468b258f767912c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "468b258f767912c0a03a3d8fc118bbcf3509fda221a8fef4e7d10718cd7d4fc0"
+    },
+    {
+      "bytes": 163880,
+      "path": "data/internal_test/p00/numina-001182-0000-782c16f942313894.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "782c16f9423138945ec6fe09cc590e45d575b0888b27ff975ce736d5ab001b20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001183.json b/manifests/batches/numina/001183.json
index d38c3e48673d8358f6be941a7bdac92e3a048082..105547ef5fcff03fa1fc8447003f691254298eb3 100644
--- a/manifests/batches/numina/001183.json
+++ b/manifests/batches/numina/001183.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001183",
   "batch_fingerprint": "52f86076fabd314ae27764ddbecb282158b4e0a3f41d08fcc0b503a36e292c96",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001183-0000-841af19c878d294e.parquet",
-      "sha256": "841af19c878d294ed109f47b0fb8f3238ee9093b1f368ad0142f29b2edb10a1f",
-      "bytes": 633653,
-      "rows": 60,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/train/numina-001183-0001-457756b910e2f970.parquet",
-      "sha256": "457756b910e2f970cbe6815f01c333fb5d42d172b7db5f0b01f36d4498ab86db",
-      "bytes": 123328,
-      "rows": 16,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11ee8f2b-1a69-52d7-a9e7-420388da33f2",
     "numina:5661bbc0-6361-5048-af6f-183306913528",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005917.lean\",\"bb1c69585006e1abfd4471dfb697c69b276e49d47eb3c17d2b6060cbd292c046\",0,\"algebra_287789\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005918.lean\",\"55bb02a1f723b44eeeaa319621c16a2e7d75678340892907dd9e9e7647b91e44\",0,\"algebra_153900\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005919.lean\",\"b7f5c48eafa2b706b81df6c50cb528cca6caee0cfc909ec0c80a184ee9838bff\",0,\"number_theory_283900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 633653,
+      "path": "data/train/p94/numina-001183-0000-841af19c878d294e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "841af19c878d294ed109f47b0fb8f3238ee9093b1f368ad0142f29b2edb10a1f"
+    },
+    {
+      "bytes": 123328,
+      "path": "data/train/p94/numina-001183-0001-457756b910e2f970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "457756b910e2f970cbe6815f01c333fb5d42d172b7db5f0b01f36d4498ab86db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001184.json b/manifests/batches/numina/001184.json
index 6bb9518e549130460ec913d1de109512b9002625..239ee9f47b399849d4b22221365d60f7ec545004 100644
--- a/manifests/batches/numina/001184.json
+++ b/manifests/batches/numina/001184.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001184",
   "batch_fingerprint": "d933c2b20476580579076a40783e5a432cd1144d54474248e29ac4b478472143",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001184-0000-673dfd08d18dc51a.parquet",
-      "sha256": "673dfd08d18dc51a04f3b20b84371316822e44a11905c7cc717a62b4165dcfcd",
-      "bytes": 577507,
-      "rows": 23,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    },
-    {
-      "path": "data/train/numina-001184-0001-10ab53b475eaa760.parquet",
-      "sha256": "10ab53b475eaa760ea43297a622d727c1b053b13b68100cd3f3a324aec59f307",
-      "bytes": 497125,
-      "rows": 51,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21f6595e-bbe5-5ce0-89f8-c5fc9afd6d9c",
     "numina:78180ddf-b449-527b-ab1f-06b4a6e4d399",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005922.lean\",\"51024dbe717d858b302945374ce9b8a351d02e6421fd55ccb2490471f3764015\",0,\"number_theory_299063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005923.lean\",\"aac9d54388e991b96f6abc9818575c8c3b0662646bfc712868f4a40cd2ac3943\",0,\"inequalities_47525\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005924.lean\",\"db72e497b197769e201a2e864653baa70159a5c09adbf8b02fef04edfd2421d6\",0,\"calculus_287040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577507,
+      "path": "data/train/pee/numina-001184-0000-673dfd08d18dc51a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "673dfd08d18dc51a04f3b20b84371316822e44a11905c7cc717a62b4165dcfcd"
+    },
+    {
+      "bytes": 497125,
+      "path": "data/train/pee/numina-001184-0001-10ab53b475eaa760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "10ab53b475eaa760ea43297a622d727c1b053b13b68100cd3f3a324aec59f307"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001185.json b/manifests/batches/numina/001185.json
index aaa05177333b9bd14496d7d94785d2650c497d7e..e80fd18c948ea254e860036cf629e8a57302a49f 100644
--- a/manifests/batches/numina/001185.json
+++ b/manifests/batches/numina/001185.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001185",
   "batch_fingerprint": "34579fd3527188fcd50104a3b2c545eb039e7fa8bfc23b1742794ef4fc9f1e5f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001185-0000-5579caa59ea4185e.parquet",
-      "sha256": "5579caa59ea4185e2be17e3c074ce9df81a6ff973895ee571357da1eed0223b0",
-      "bytes": 517485,
-      "rows": 53,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/internal_test/numina-001185-0000-48388d8108e4a78a.parquet",
-      "sha256": "48388d8108e4a78ae716a5b810c695f29819bc6cbebab4b26951bed58ff12a84",
-      "bytes": 60260,
-      "rows": 1,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03f648d5-b506-5b3d-9a39-b11ad23ba973",
     "numina:0be6507c-31e8-5f01-a412-a7d7b9d17dcc",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005927.lean\",\"8cc7f409d5c2866a44e1f59dbcbbc2481b314f441c9c5201d0384ae17d3ed0e0\",1,\"inequalities_57680\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005928.lean\",\"2507e27f5f868f60760dc6a726e132676d6c6fa44f53e7ce21f279a02e8aeb22\",0,\"number_theory_283854\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005929.lean\",\"c88b1d168af3301d681d13d5c43b1ec397a1b0903ef02f0b506369ff3e374b18\",0,\"algebra_153599\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517485,
+      "path": "data/train/p1a/numina-001185-0000-5579caa59ea4185e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "5579caa59ea4185e2be17e3c074ce9df81a6ff973895ee571357da1eed0223b0"
+    },
+    {
+      "bytes": 60260,
+      "path": "data/internal_test/p1a/numina-001185-0000-48388d8108e4a78a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "48388d8108e4a78ae716a5b810c695f29819bc6cbebab4b26951bed58ff12a84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001186.json b/manifests/batches/numina/001186.json
index 62a31a46f9e687a821b69504dd64306b63b777f8..9470d1c7adeca25ad3c54bf2dbed682c07588f97 100644
--- a/manifests/batches/numina/001186.json
+++ b/manifests/batches/numina/001186.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001186",
   "batch_fingerprint": "37e78ea7114199d4f43eeb67811d5f3139bbfa33d13198da94d85c2b4611397c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001186-0000-6c4c48e3f38a5a90.parquet",
-      "sha256": "6c4c48e3f38a5a90c5ef27df01a3a16abac6ffe0230231e130b3a495ee3bcf51",
-      "bytes": 438710,
-      "rows": 28,
-      "revision": "5e7c60be27dc899309ccea4c61727202e09b17ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:20f6251a-84d0-5bfe-9894-c111eed1647a",
     "numina:2e9214aa-780d-5968-a28f-904b0b888cd7",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005932.lean\",\"f54a7eeb6013456cb2e97bb59307f25be393f2292314665f3ce02f17cb666445\",0,\"number_theory_293634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005933.lean\",\"e1942a142e2f32ca0209f576e56e9f84242514d2a3a2bed19f6073ec950e6e2c\",1,\"algebra_296312\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005934.lean\",\"65ac7fcd92c2ecfdae8265a6e41b767a4bf4cfc1acf10e057ac93faa8c031540\",0,\"number_theory_291954\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438710,
+      "path": "data/train/pa9/numina-001186-0000-6c4c48e3f38a5a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "6c4c48e3f38a5a90c5ef27df01a3a16abac6ffe0230231e130b3a495ee3bcf51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001187.json b/manifests/batches/numina/001187.json
index 0795d4ee1da96f3e52b0840ab5da2e52bc6029e4..9533525736937b5923f1091ab56788bfe607a82b 100644
--- a/manifests/batches/numina/001187.json
+++ b/manifests/batches/numina/001187.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001187",
   "batch_fingerprint": "ed568fc39c0bff79e3b68ea124f9010dafe9285861bfdf8e95d091790b237b68",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001187-0000-8b4a29d652cac841.parquet",
-      "sha256": "8b4a29d652cac841b6b921a0344478e3d5459c3ae8674111db9ca35c5e6e59d1",
-      "bytes": 429215,
-      "rows": 37,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    },
-    {
-      "path": "data/dev/numina-001187-0000-a4a9f81ff8fd9272.parquet",
-      "sha256": "a4a9f81ff8fd9272ad5fd187c9bf2af950983a9b7e6845c3d06f02f5056be48e",
-      "bytes": 73869,
-      "rows": 20,
-      "revision": "eef9f30926b0307521cf3967e66e7df66c40bfc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4453d7a8-ffcb-58df-a3e4-9a5a29b24df4",
     "numina:78be3fc5-4955-5b17-9031-0164148f2221",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005938.lean\",\"32310f40f27c90638a6a9ca1d2a18e6ae35223b3d20af518a7cfe80b61a3cb70\",0,\"algebra_296533\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005939.lean\",\"e2104c075071c863e7fd98d6e7313924ecf4f44795276659388353ed7adcc3ad\",0,\"number_theory_284228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429215,
+      "path": "data/train/p66/numina-001187-0000-8b4a29d652cac841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "8b4a29d652cac841b6b921a0344478e3d5459c3ae8674111db9ca35c5e6e59d1"
+    },
+    {
+      "bytes": 73869,
+      "path": "data/dev/p66/numina-001187-0000-a4a9f81ff8fd9272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a4a9f81ff8fd9272ad5fd187c9bf2af950983a9b7e6845c3d06f02f5056be48e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001188.json b/manifests/batches/numina/001188.json
index 3b72bf1c33bc37b3fe870fa5b189416da66f01fb..c94bcbad4507c06529175be5994e377393dd6ca3 100644
--- a/manifests/batches/numina/001188.json
+++ b/manifests/batches/numina/001188.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001188",
   "batch_fingerprint": "ad5bfb652733870f5c94b04a4a52bea1fbbc9dc405173755a1bd06d01b521a53",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001188-0000-d5ddb4547377783c.parquet",
-      "sha256": "d5ddb4547377783c0543182c1ff563987f3319933f575818af50043f1c14e33f",
-      "bytes": 664984,
-      "rows": 76,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/train/numina-001188-0001-7c1ae47f948cb7d7.parquet",
-      "sha256": "7c1ae47f948cb7d7e34081dc328fc5054ef0390be6096784375dc48bfebf3c05",
-      "bytes": 140984,
-      "rows": 2,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d0ba8eb-f941-56aa-a5a5-d6edb5ce4701",
     "numina:60b591bf-6303-5f42-813d-bcf682a1bda7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005942.lean\",\"85701fd98f99b6931398c2c348c00136b24463c84051a87251d9fcc6f05baf59\",0,\"number_theory_94436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005943.lean\",\"82df9b3badfbad6a90efae0b83405a0d875ca6c87735f23dd05ed83a43104f19\",0,\"number_theory_248298\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005944.lean\",\"0db1fedbd42767d92064ecc2d9343d409bd38a1cec783914d5b0282262f23d1e\",0,\"algebra_320379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 664984,
+      "path": "data/train/p1f/numina-001188-0000-d5ddb4547377783c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "d5ddb4547377783c0543182c1ff563987f3319933f575818af50043f1c14e33f"
+    },
+    {
+      "bytes": 140984,
+      "path": "data/train/p1f/numina-001188-0001-7c1ae47f948cb7d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7c1ae47f948cb7d7e34081dc328fc5054ef0390be6096784375dc48bfebf3c05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001189.json b/manifests/batches/numina/001189.json
index fd316caa709965058ae9ceaa5174a509e137093d..0c08086dca0c1b1162474058fd45b9c74583f69f 100644
--- a/manifests/batches/numina/001189.json
+++ b/manifests/batches/numina/001189.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001189",
   "batch_fingerprint": "7d252c7b7b4488a33aa342e5249625e33f4c8437010879568f618de75ab04095",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001189-0000-fc2259d94b3f5a82.parquet",
-      "sha256": "fc2259d94b3f5a82b5841edff0208e4c3e72d261505360f362bf3b53db1f5df1",
-      "bytes": 438924,
-      "rows": 24,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/train/numina-001189-0001-ea22cff34799676b.parquet",
-      "sha256": "ea22cff34799676ba1e627abbe804e327e8bb23e1ef5619e2bcb83629d5e8c3b",
-      "bytes": 196907,
-      "rows": 2,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d485216-7f87-5ac6-a83c-82f712c2e86c",
     "numina:5700f58b-4e72-52cc-8eb7-9cf4a8cf4887",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005947.lean\",\"cf48e3325a2b6736c40f1fe2ac88d003e2be9bbe3e74ef3fcaa677e614100f9a\",0,\"number_theory_321988\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005948.lean\",\"e0b74dddcd791153d08e0c398289efa2f062e9c41a386bde726181718be25eac\",0,\"number_theory_179176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005949.lean\",\"9105e484c095d03ba62ff7145a943dc81249eb5edea1bc1ba2143f221c048da2\",0,\"algebra_288581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438924,
+      "path": "data/train/p35/numina-001189-0000-fc2259d94b3f5a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fc2259d94b3f5a82b5841edff0208e4c3e72d261505360f362bf3b53db1f5df1"
+    },
+    {
+      "bytes": 196907,
+      "path": "data/train/p35/numina-001189-0001-ea22cff34799676b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ea22cff34799676ba1e627abbe804e327e8bb23e1ef5619e2bcb83629d5e8c3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001190.json b/manifests/batches/numina/001190.json
index 0fb52aa97bf6fb68bb57ca454b0d21c523d6c361..fd48d6118c2db1ae69e1525437377a206b7fd896 100644
--- a/manifests/batches/numina/001190.json
+++ b/manifests/batches/numina/001190.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001190",
   "batch_fingerprint": "d469ce5d0d4f76c613e693a85dd8153d73d4dc9174e3c7a243e6bdd097402faf",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001190-0000-1191afc43d1f274e.parquet",
-      "sha256": "1191afc43d1f274ea5c92c87fa7ca8f7dea3b8a1714a7f56d6bac1649d7a79f0",
-      "bytes": 288527,
-      "rows": 18,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/train/numina-001190-0001-b6ea53556a689924.parquet",
-      "sha256": "b6ea53556a689924a8544c82c696530b7c8ab88531759bc0a7dd1017ea87abf2",
-      "bytes": 3412366,
-      "rows": 1,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/train/numina-001190-0002-86e33617579b66ac.parquet",
-      "sha256": "86e33617579b66ac35d1da50c64fba6ade6cb7a6dcbb5b4ba8ff9ac93f2cbad2",
-      "bytes": 455879,
-      "rows": 24,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:373afca0-a2b1-5efe-bbf8-78877965bf02",
     "numina:8a21ac35-8526-5797-8daf-70671bbe0a43",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005954.lean\",\"ca4cfad647950387e06db119dbe38e28bf0d851921b711e8b9bc61cb9137f292\",0,\"algebra_313382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288527,
+      "path": "data/train/pa8/numina-001190-0000-1191afc43d1f274e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1191afc43d1f274ea5c92c87fa7ca8f7dea3b8a1714a7f56d6bac1649d7a79f0"
+    },
+    {
+      "bytes": 3412366,
+      "path": "data/train/pa8/numina-001190-0001-b6ea53556a689924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b6ea53556a689924a8544c82c696530b7c8ab88531759bc0a7dd1017ea87abf2"
+    },
+    {
+      "bytes": 455879,
+      "path": "data/train/pa8/numina-001190-0002-86e33617579b66ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "86e33617579b66ac35d1da50c64fba6ade6cb7a6dcbb5b4ba8ff9ac93f2cbad2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001191.json b/manifests/batches/numina/001191.json
index f9320d168ac11d1913972f5ef88d1203c807290e..9deca927e4dcf400839a35b428b9cb9ff1bef7dc 100644
--- a/manifests/batches/numina/001191.json
+++ b/manifests/batches/numina/001191.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001191",
   "batch_fingerprint": "0ff7f2d3c05196954b82f5552b777678c7874e387753c7fe9dd42bce0acec3f3",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001191-0000-9a8ff7738047bfd0.parquet",
-      "sha256": "9a8ff7738047bfd0535e4671a9e040f65d28dfc50c3cc55da9952afe296b53ae",
-      "bytes": 640858,
-      "rows": 86,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/train/numina-001191-0001-cdf89e61cc518841.parquet",
-      "sha256": "cdf89e61cc518841ab9e6d5e07737c19699f5eaea8a2ea3286f30d6bf0813186",
-      "bytes": 590597,
-      "rows": 26,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    },
-    {
-      "path": "data/dev/numina-001191-0000-9d912e16bb0071a7.parquet",
-      "sha256": "9d912e16bb0071a7fe95abac69c1df5d5dc35114defbd23bb9b96c1834dcc8d0",
-      "bytes": 111097,
-      "rows": 4,
-      "revision": "e1b98b62775699df0e26aaa40513374093633d9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00f6f69b-72cf-535d-a302-512f47648dca",
     "numina:0d06cb4d-d824-5df3-8468-6a37c8e9e910",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005957.lean\",\"49ca9581621b249359c3e4c0fbcbbf4d3f71beda37babbedebd59579ec17a084\",0,\"algebra_314811\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005959.lean\",\"c287ce2427bfafa1d29d40228d86e38529569a4ca1781300e82a377b396a311c\",1,\"algebra_212345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 640858,
+      "path": "data/train/p34/numina-001191-0000-9a8ff7738047bfd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 86,
+      "sha256": "9a8ff7738047bfd0535e4671a9e040f65d28dfc50c3cc55da9952afe296b53ae"
+    },
+    {
+      "bytes": 590597,
+      "path": "data/train/p34/numina-001191-0001-cdf89e61cc518841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "cdf89e61cc518841ab9e6d5e07737c19699f5eaea8a2ea3286f30d6bf0813186"
+    },
+    {
+      "bytes": 111097,
+      "path": "data/dev/p34/numina-001191-0000-9d912e16bb0071a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9d912e16bb0071a7fe95abac69c1df5d5dc35114defbd23bb9b96c1834dcc8d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001192.json b/manifests/batches/numina/001192.json
index 79556ba6762a7ec6465a9bbd058de8b3f9441207..06f109993dfac3a48e66c154f9e6dd71b3b438cc 100644
--- a/manifests/batches/numina/001192.json
+++ b/manifests/batches/numina/001192.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001192",
   "batch_fingerprint": "7411e5c5ae2b32691c8c306671c30b17458b92ca146e91f7877eaf41cecac115",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001192-0000-402e884276bd75c7.parquet",
-      "sha256": "402e884276bd75c70a4c702c3f23ccee1fb2ff2cad450b18f5d4dd939647a4a4",
-      "bytes": 484545,
-      "rows": 94,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/numina-001192-0000-cd39299426cc65ca.parquet",
-      "sha256": "cd39299426cc65ca282b6ace9b80d51a5b5d0af2aaef098af426f36b0c11bd57",
-      "bytes": 107535,
-      "rows": 10,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:481da566-b0b0-5907-99f0-dc2aacdc3e43",
     "numina:6975c757-3679-5dc7-81d8-417ae29e5f28",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005962.lean\",\"9f49dd2c5139b65319bade9d0dd14d3e01af171cadc72a11364f9ff8516a8cc9\",0,\"number_theory_60858\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005963.lean\",\"152a3bf25b8f83698c77b76ada9f79cf0a0fef8d68c6a065d49ab795b605db03\",1,\"number_theory_604310\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005964.lean\",\"772d0182da990c8ff897dff539f7c065b7f902ea18debc169cd17204c491d2fc\",1,\"algebra_311348\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484545,
+      "path": "data/train/p61/numina-001192-0000-402e884276bd75c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 94,
+      "sha256": "402e884276bd75c70a4c702c3f23ccee1fb2ff2cad450b18f5d4dd939647a4a4"
+    },
+    {
+      "bytes": 107535,
+      "path": "data/internal_test/p61/numina-001192-0000-cd39299426cc65ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cd39299426cc65ca282b6ace9b80d51a5b5d0af2aaef098af426f36b0c11bd57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001193.json b/manifests/batches/numina/001193.json
index daafbb314e95ddafb7f7746a855cf15e1a11779f..e753b82a19217a8cbf1d56bd4077e572fc4e169c 100644
--- a/manifests/batches/numina/001193.json
+++ b/manifests/batches/numina/001193.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001193",
   "batch_fingerprint": "6cb459a6efffb562f93aa78e897a7c80b7c37aeabbb1333fc74c99a71b771ea9",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001193-0000-171ebdeff80fac07.parquet",
-      "sha256": "171ebdeff80fac07d94c3e95fc06af4b19011261ecf4f0015f4558088c063a75",
-      "bytes": 252823,
-      "rows": 14,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/numina-001193-0000-ec38e7fd22d6d709.parquet",
-      "sha256": "ec38e7fd22d6d709a220ba0dd23995f3d51726fab8e8af7b929fcdaaa7b38a1b",
-      "bytes": 54635,
-      "rows": 4,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/numina-001193-0000-dfba28cbeea6362c.parquet",
-      "sha256": "dfba28cbeea6362c2863e2afe145868cb3e8b548c4c2121678aae36ee6ccd751",
-      "bytes": 69021,
-      "rows": 5,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f356093-c5fb-5074-aa53-20b1475a7a45",
     "numina:8677205c-a6f7-5da3-9708-9cd8e9f31a81",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005967.lean\",\"669feb1cb84f67cc6c57e85a8a5be20ddf10d0218a1f5b1b90be5a8a98114acb\",0,\"number_theory_292601\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005968.lean\",\"c4d6914625269aa9c35cd27482b8099fa74313f6329e73dca14caf0e7fc7f9c2\",0,\"inequalities_292139\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005969.lean\",\"8a0ff05b5450902322f3a543cf843f31ef764873edac760180c45fe91bd3f4e1\",2,\"number_theory_310562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252823,
+      "path": "data/train/pa2/numina-001193-0000-171ebdeff80fac07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "171ebdeff80fac07d94c3e95fc06af4b19011261ecf4f0015f4558088c063a75"
+    },
+    {
+      "bytes": 54635,
+      "path": "data/dev/pa2/numina-001193-0000-ec38e7fd22d6d709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ec38e7fd22d6d709a220ba0dd23995f3d51726fab8e8af7b929fcdaaa7b38a1b"
+    },
+    {
+      "bytes": 69021,
+      "path": "data/internal_test/pa2/numina-001193-0000-dfba28cbeea6362c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dfba28cbeea6362c2863e2afe145868cb3e8b548c4c2121678aae36ee6ccd751"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001194.json b/manifests/batches/numina/001194.json
index 3a0f4a8302850eea56b2f0b07cd14d2bab014265..049a60df39c0997120cfd4df36202bd146702a3c 100644
--- a/manifests/batches/numina/001194.json
+++ b/manifests/batches/numina/001194.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001194",
   "batch_fingerprint": "0c510b008d68094a02fb273237c4f0f9fa0c0331915da74f1c49d5205fc7ab18",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001194-0000-1e18856a6195e914.parquet",
-      "sha256": "1e18856a6195e91442d1f5fec32d50e03927dabdad7d4139e0608e74b14397e9",
-      "bytes": 162106,
-      "rows": 15,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/dev/numina-001194-0000-db110f2f33de0ccf.parquet",
-      "sha256": "db110f2f33de0ccfa28d7848c97382bef35fb59d637539682ac75f77938d5b09",
-      "bytes": 71418,
-      "rows": 3,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    },
-    {
-      "path": "data/internal_test/numina-001194-0000-b7258cd7b57cd277.parquet",
-      "sha256": "b7258cd7b57cd2777cbab5f5d062a5a2dbe069d0bea59f2c2af37e2f3c48d30f",
-      "bytes": 563565,
-      "rows": 19,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28e00bc9-cac9-5b84-aaa9-315aca0d5034",
     "numina:60b6e95b-649d-54bc-9dfa-aee947c6e108",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005972.lean\",\"c737adc8519a099e47c7b1793111d1a264c0435630f791118214240d0f866199\",0,\"algebra_171194\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005973.lean\",\"0ec38d16a12e4312e0de72f9231529483d3c39a533c0f6443b0fe916bcb5d513\",0,\"algebra_160505\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005974.lean\",\"513fc0727e69d8dfeb35b1f081b63e90edbd92e59567f9832cb154d78d1f4056\",0,\"number_theory_305984\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162106,
+      "path": "data/train/pe8/numina-001194-0000-1e18856a6195e914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1e18856a6195e91442d1f5fec32d50e03927dabdad7d4139e0608e74b14397e9"
+    },
+    {
+      "bytes": 71418,
+      "path": "data/dev/pe8/numina-001194-0000-db110f2f33de0ccf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "db110f2f33de0ccfa28d7848c97382bef35fb59d637539682ac75f77938d5b09"
+    },
+    {
+      "bytes": 563565,
+      "path": "data/internal_test/pe8/numina-001194-0000-b7258cd7b57cd277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b7258cd7b57cd2777cbab5f5d062a5a2dbe069d0bea59f2c2af37e2f3c48d30f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001195.json b/manifests/batches/numina/001195.json
index 967d48874292e2b6fea3184aa1b4dc3a7c97f61e..77175dd05999bebcbd552a53c6f855c0ca5fac37 100644
--- a/manifests/batches/numina/001195.json
+++ b/manifests/batches/numina/001195.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001195",
   "batch_fingerprint": "ef3d67c5bc32215173b551ee949c5c3d9bd9390f69d756aff7b5a6103fd155a8",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001195-0000-4773fb7c5591910b.parquet",
-      "sha256": "4773fb7c5591910bafa6411a3a3d271ad89a47baedb50e68091a718758ed31a8",
-      "bytes": 168736,
-      "rows": 20,
-      "revision": "3ccd431b411f5443a88469e9af85fa5eacacb34d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1708a5f0-9da6-53e5-aa73-20a292d4d4ef",
     "numina:af0b76ff-55e2-5749-adc0-53b5b08b6c44",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005976.lean\",\"24e9282552ca1da96059ad259fecde9febf59a638fd369d8824735eef5a0a730\",0,\"algebra_155560\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005978.lean\",\"a189a2d28575fae53f51f5251f5f575be318edabd3a6075178a00ad1ed266ae9\",0,\"algebra_291755\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005979.lean\",\"65eaa77f26ba77c4739fc8ca5bff42d3a62db917c78be37a640d7ab069ab608b\",0,\"number_theory_156842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168736,
+      "path": "data/train/pe9/numina-001195-0000-4773fb7c5591910b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4773fb7c5591910bafa6411a3a3d271ad89a47baedb50e68091a718758ed31a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001196.json b/manifests/batches/numina/001196.json
index bccc4e0f382a256da9eff55131279489ef116ad9..b4f56b9df8f22e570d19d86ad959f360bcf8f258 100644
--- a/manifests/batches/numina/001196.json
+++ b/manifests/batches/numina/001196.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001196",
   "batch_fingerprint": "8ac4e974eb30c0e71e63fa8bfabfa181da352547fa722cd92865e0cc6f968539",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001196-0000-7019d0fc4cb608fe.parquet",
-      "sha256": "7019d0fc4cb608fe6036aa2185a1eea9191848fdb783acee939514d888a19555",
-      "bytes": 668632,
-      "rows": 45,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/train/numina-001196-0001-1cd01892581a7326.parquet",
-      "sha256": "1cd01892581a7326d73ce50455f28ae864a263f341291f735409184235ebc2ed",
-      "bytes": 228940,
-      "rows": 44,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:a2545544-1c54-57c6-8f0f-dcf9c07681b3",
     "numina:b65766be-6af9-504e-965e-49fce051a78c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005982.lean\",\"c5246428feb0963a5d07747a5366fd6336010ae5851b38cf484a54a0c564521c\",0,\"number_theory_300799\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005983.lean\",\"ba009089c9fe47db3b44f328ea95950c473d30eaaaba4fb9ae3a9451d5bef0fb\",0,\"number_theory_162925\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005984.lean\",\"b04b52727a014803d04aaed22778d4bc79ae95d7830cfcff6980099af8c260a6\",0,\"number_theory_162979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 668632,
+      "path": "data/train/p93/numina-001196-0000-7019d0fc4cb608fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "7019d0fc4cb608fe6036aa2185a1eea9191848fdb783acee939514d888a19555"
+    },
+    {
+      "bytes": 228940,
+      "path": "data/train/p93/numina-001196-0001-1cd01892581a7326.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "1cd01892581a7326d73ce50455f28ae864a263f341291f735409184235ebc2ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001197.json b/manifests/batches/numina/001197.json
index 02b34ff771dbcef6511cb8c51bc7d6f9b2d4f00e..f2c3afdb595fff2f6a14703b6675219defaf8d6f 100644
--- a/manifests/batches/numina/001197.json
+++ b/manifests/batches/numina/001197.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001197",
   "batch_fingerprint": "c51556a7c757ec00b5f65dc14a4f0575231620fe8367911b028f0c3752b4f890",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001197-0000-1daabcbf825910eb.parquet",
-      "sha256": "1daabcbf825910ebd109a97ce182d6835c256e4583efbb1ab4355dc330403680",
-      "bytes": 477135,
-      "rows": 56,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/dev/numina-001197-0000-1581dfe43709181c.parquet",
-      "sha256": "1581dfe43709181c1a901459dabe5945e3dc97da91471b21a68d4da36d4e5a04",
-      "bytes": 154011,
-      "rows": 4,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/numina-001197-0000-a4d63688f36c3b06.parquet",
-      "sha256": "a4d63688f36c3b06d6ea1f7f0f14ab6ec8440b6a7ef4a1d2c051996d7830b01b",
-      "bytes": 113467,
-      "rows": 12,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5345b9eb-a4c6-582a-9867-53fbbd5dfbce",
     "numina:575d7c18-b99a-5db3-9687-3108427271e3",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005987.lean\",\"470ff21cdb6a4f32847f08e26b8987d41d9a644305adddb44eda727553f28e19\",0,\"number_theory_63769\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005988.lean\",\"9a59d1385bd59e1dffa7ab4143793be391dda722fa6d3b5d71739cffa2221811\",0,\"number_theory_248298\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005989.lean\",\"260d1aa7f63706aefb00b8a6274defaff695b48a58284334d4d97f8fba38110e\",0,\"algebra_300027\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 477135,
+      "path": "data/train/p32/numina-001197-0000-1daabcbf825910eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "1daabcbf825910ebd109a97ce182d6835c256e4583efbb1ab4355dc330403680"
+    },
+    {
+      "bytes": 154011,
+      "path": "data/dev/p32/numina-001197-0000-1581dfe43709181c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1581dfe43709181c1a901459dabe5945e3dc97da91471b21a68d4da36d4e5a04"
+    },
+    {
+      "bytes": 113467,
+      "path": "data/internal_test/p32/numina-001197-0000-a4d63688f36c3b06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a4d63688f36c3b06d6ea1f7f0f14ab6ec8440b6a7ef4a1d2c051996d7830b01b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001198.json b/manifests/batches/numina/001198.json
index eef1f27f9304f5c5161dea08e5924d5d354eebe7..8b81e261719284c9a58de785fba9ecb4db9f61e9 100644
--- a/manifests/batches/numina/001198.json
+++ b/manifests/batches/numina/001198.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001198",
   "batch_fingerprint": "b437dba07f746189e6948fe436ba7680ccca0089d0bf413cefa034cf7dfb4406",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001198-0000-aafc431b7bba412c.parquet",
-      "sha256": "aafc431b7bba412ca499f5a83309bb9143b3d641786cc0a312e4ef5e7873561e",
-      "bytes": 209932,
-      "rows": 21,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/numina-001198-0000-3870e2a3c6723391.parquet",
-      "sha256": "3870e2a3c67233918893ffe73962fda58307b7c74f7773fc85064462dee43a35",
-      "bytes": 416329,
-      "rows": 10,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    },
-    {
-      "path": "data/internal_test/numina-001198-0001-0d40482bc9efde74.parquet",
-      "sha256": "0d40482bc9efde74a169d4f73b155b3ba0f4627349281a11707e262a03cd76c3",
-      "bytes": 376821,
-      "rows": 1,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23be3be7-0069-5747-a962-6efb9d14a408",
     "numina:4cd75ad6-5df9-5088-bf2d-086897e10949",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005992.lean\",\"499bade9e7037528d205f74521c543fcbef3baa0fe52afe5106cd904e1c7b26c\",0,\"number_theory_301140\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005993.lean\",\"e836a3497ec32c33894601c7efb4b191490e5d47a2c4cdca3d4c240ad7bee096\",0,\"inequalities_599083\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005994.lean\",\"c3313f271fac48a08fd77713a2d4893e8e3619ad8f809a5ac64ab45a3754386d\",0,\"algebra_306887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209932,
+      "path": "data/train/p7a/numina-001198-0000-aafc431b7bba412c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "aafc431b7bba412ca499f5a83309bb9143b3d641786cc0a312e4ef5e7873561e"
+    },
+    {
+      "bytes": 416329,
+      "path": "data/internal_test/p7a/numina-001198-0000-3870e2a3c6723391.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3870e2a3c67233918893ffe73962fda58307b7c74f7773fc85064462dee43a35"
+    },
+    {
+      "bytes": 376821,
+      "path": "data/internal_test/p7a/numina-001198-0001-0d40482bc9efde74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0d40482bc9efde74a169d4f73b155b3ba0f4627349281a11707e262a03cd76c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001199.json b/manifests/batches/numina/001199.json
index 6bdbbf134ca17c44f2064ecdc38537a0d14485ac..64230ed4d75c6e35a87987997460a54a666aadfd 100644
--- a/manifests/batches/numina/001199.json
+++ b/manifests/batches/numina/001199.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001199",
   "batch_fingerprint": "a178390ae9c856ea66b547f967651004c12fa769a28e1cea0f45e73da57ab8e2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001199-0000-c0bdbeb5e63a49f7.parquet",
-      "sha256": "c0bdbeb5e63a49f7835d8075abdec1b58c51a1a7b6c584d90cfc3b816f7890da",
-      "bytes": 554773,
-      "rows": 44,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21eb8339-9e6b-5eb5-919c-057b4043a047",
     "numina:5f62aa13-e0cb-571f-b1ce-2745383373c4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005997.lean\",\"ef1fdd4d23e5e52cef32fd82019423062da9c97c3b8b7088db365dd325f1965d\",0,\"quadratic_prime_roots_result\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005998.lean\",\"ec8e75cdf38a3dfdcde9707d8c48cec5f320c8200df58765f243068354c8cf68\",0,\"number_theory_p64597\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_005999.lean\",\"9c0e742aaf23eff27a221ed387067acfe1e571e9d742d368e15ee21a3de72b38\",0,\"number_theory_613046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 554773,
+      "path": "data/train/p3a/numina-001199-0000-c0bdbeb5e63a49f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "c0bdbeb5e63a49f7835d8075abdec1b58c51a1a7b6c584d90cfc3b816f7890da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001200.json b/manifests/batches/numina/001200.json
index 1f8a20c68d33d34c1f2ca2bb06dc487763d452ba..f9588b1a8e7574a49adcd8256ace619bfb4876a7 100644
--- a/manifests/batches/numina/001200.json
+++ b/manifests/batches/numina/001200.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001200",
   "batch_fingerprint": "fdb67098601c83de44cfeda9238f9f36ba5ef0d69aa0502b75ff7b9b8ca76ce4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001200-0000-8fcc4481df7c7292.parquet",
-      "sha256": "8fcc4481df7c729216661162f1c853a07667646a86b55d5f0a3d207643a5bb27",
-      "bytes": 690840,
-      "rows": 37,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/train/numina-001200-0001-a6588923b7713566.parquet",
-      "sha256": "a6588923b77135664fa0c56864e358d43cbc88b1c6ee9b5f09777b3d65c4947f",
-      "bytes": 249512,
-      "rows": 15,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/numina-001200-0000-4d40f5f79d5a7441.parquet",
-      "sha256": "4d40f5f79d5a74412905a8cbc871611aa0f255b44f0a9c39c0f4e1200cf98b25",
-      "bytes": 23501,
-      "rows": 2,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19636a62-900a-5135-9718-b9c090b53114",
     "numina:27f2cd5e-76ca-5bfe-be9f-436197fb1bcc",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006002.lean\",\"7b5d2428b10e0bf632d0fc8ccd0d6e9c16b0c385754a918f7224234c6929cc7d\",0,\"algebra_310927\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006003.lean\",\"d6e6b9f6b27078665e52bb4ad168dd13511477e9a755bc2558af998bfa10db04\",0,\"number_theory_304305\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006004.lean\",\"60868200d7afac4b8055b0b0fd436e00cac15bb0ad1622f5d312e3001504ede2\",0,\"algebra_165800\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 690840,
+      "path": "data/train/p8f/numina-001200-0000-8fcc4481df7c7292.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "8fcc4481df7c729216661162f1c853a07667646a86b55d5f0a3d207643a5bb27"
+    },
+    {
+      "bytes": 249512,
+      "path": "data/train/p8f/numina-001200-0001-a6588923b7713566.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a6588923b77135664fa0c56864e358d43cbc88b1c6ee9b5f09777b3d65c4947f"
+    },
+    {
+      "bytes": 23501,
+      "path": "data/internal_test/p8f/numina-001200-0000-4d40f5f79d5a7441.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4d40f5f79d5a74412905a8cbc871611aa0f255b44f0a9c39c0f4e1200cf98b25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001201.json b/manifests/batches/numina/001201.json
index 03489991870b529753a9878a9014ed0679c4a3b8..cf7295c8deab4e01182da57b0aef731dbc45a340 100644
--- a/manifests/batches/numina/001201.json
+++ b/manifests/batches/numina/001201.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001201",
   "batch_fingerprint": "6c93c33ad9803d7f12f8941d38af3a89f636535abe67d8622588c54adf5982c6",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001201-0000-5a525d654b4fe81b.parquet",
-      "sha256": "5a525d654b4fe81b1e20a03517ab793cb1a814d820dae779533473d2c1e8b809",
-      "bytes": 633594,
-      "rows": 32,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/train/numina-001201-0001-1682892b104d0503.parquet",
-      "sha256": "1682892b104d05031c85270f36d46a9c9151f0fbbd6458e37878104e0dc589f3",
-      "bytes": 791711,
-      "rows": 15,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/numina-001201-0000-a1529cb3235eec32.parquet",
-      "sha256": "a1529cb3235eec324ef84644d4e568059e715090eb918140936274f7144d6ad2",
-      "bytes": 157316,
-      "rows": 6,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22465703-439d-5c08-9da5-29b550707b9f",
     "numina:3b573e9c-00eb-5a12-aaa6-ca4b8bd3df43",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006007.lean\",\"abd8d769faebac0432b237f5ecdcf2825fd911cd48a749f40b588ee413640fd7\",0,\"algebra_160103\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006008.lean\",\"afd435c8185a3fa9d5f1a1549ee7651d434ef73afa3dc3a43b5b23ed6cd7fcad\",0,\"number_theory_160123\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006009.lean\",\"bcd7ca46a5a0960b036ac7a1e66e90efa1ce07ea505af423596774ae4d580e68\",2,\"inequalities_603033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 633594,
+      "path": "data/train/p40/numina-001201-0000-5a525d654b4fe81b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "5a525d654b4fe81b1e20a03517ab793cb1a814d820dae779533473d2c1e8b809"
+    },
+    {
+      "bytes": 791711,
+      "path": "data/train/p40/numina-001201-0001-1682892b104d0503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1682892b104d05031c85270f36d46a9c9151f0fbbd6458e37878104e0dc589f3"
+    },
+    {
+      "bytes": 157316,
+      "path": "data/internal_test/p40/numina-001201-0000-a1529cb3235eec32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a1529cb3235eec324ef84644d4e568059e715090eb918140936274f7144d6ad2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001202.json b/manifests/batches/numina/001202.json
index 435f927f452d36afcb9320ae4c8e810c7f43cc03..3745da37902f799e06c6b3479a5e9c6cbafe6c36 100644
--- a/manifests/batches/numina/001202.json
+++ b/manifests/batches/numina/001202.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001202",
   "batch_fingerprint": "768cf699f37670e5bd2d54d0b0bd8e40f3ed99201c02025f53cd137867e47d90",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:08d5d339-7def-5f13-b7c2-a33841e42acc",
+    "numina:21734eff-834e-5580-9185-af6fea7219b5",
+    "numina:4c9b7e53-1209-5d85-843c-4878aeb95366",
+    "numina:d3b24354-e6e1-5c9e-ac80-d4a14beb34a0",
+    "numina:edb9dc71-b50c-564d-9285-d85055c2d281"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006010.lean\",\"406f03100393472e5999e246e144bb44c07ca656bf684cf2667a23123fa86899\",0,\"algebra_164686\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006011.lean\",\"6d457eef7529bca48cd5b9e6ff74a290bb07cc9de9bff3e83663b8821ff74278\",0,\"number_theory_158922\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006012.lean\",\"00207f145549d6671bae5749399119e54ca1185e961f1844364c259524cfce78\",0,\"algebra_313199\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006013.lean\",\"2b4f4881364ba243c48222e28d2125e7c9bd278211ff5a32222e6d32ce2a708b\",0,\"algebra_73510\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006014.lean\",\"264b7dcb6fd1ced2d69484e6853d6ceaefdcb054f5f092932364540c1101bf90\",0,\"number_theory_325943\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001202-0000-49109a7187aaa926.parquet",
-      "sha256": "49109a7187aaa926beddc1f794b383ba0b7d247e97cd2132b9bd767abdd29a62",
       "bytes": 674273,
+      "path": "data/train/p5a/numina-001202-0000-49109a7187aaa926.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
+      "sha256": "49109a7187aaa926beddc1f794b383ba0b7d247e97cd2132b9bd767abdd29a62"
     },
     {
-      "path": "data/train/numina-001202-0001-cc553f8389e088b1.parquet",
-      "sha256": "cc553f8389e088b1fb440e64f365fdb2e9f165de389f8754450890e29486662b",
       "bytes": 372398,
+      "path": "data/train/p5a/numina-001202-0001-cc553f8389e088b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
+      "sha256": "cc553f8389e088b1fb440e64f365fdb2e9f165de389f8754450890e29486662b"
     },
     {
-      "path": "data/train/numina-001202-0002-0c881b0c6385616b.parquet",
-      "sha256": "0c881b0c6385616b4c07cfc408e1a009fc13e86e634b1b8b5dc3e5accc1fe6c6",
       "bytes": 2147625,
+      "path": "data/train/p5a/numina-001202-0002-0c881b0c6385616b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
+      "sha256": "0c881b0c6385616b4c07cfc408e1a009fc13e86e634b1b8b5dc3e5accc1fe6c6"
     },
     {
-      "path": "data/train/numina-001202-0003-5ccf42062f45f54f.parquet",
-      "sha256": "5ccf42062f45f54f5d3fb2caf890d8eca2624e79d6b3904c5c37d4e90e7ad82c",
       "bytes": 38027,
+      "path": "data/train/p5a/numina-001202-0003-5ccf42062f45f54f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "7f6ea7da3472f00782f24bc3abc85a32895af7a7"
+      "sha256": "5ccf42062f45f54f5d3fb2caf890d8eca2624e79d6b3904c5c37d4e90e7ad82c"
     }
-  ],
-  "proof_ids": [
-    "numina:08d5d339-7def-5f13-b7c2-a33841e42acc",
-    "numina:21734eff-834e-5580-9185-af6fea7219b5",
-    "numina:4c9b7e53-1209-5d85-843c-4878aeb95366",
-    "numina:d3b24354-e6e1-5c9e-ac80-d4a14beb34a0",
-    "numina:edb9dc71-b50c-564d-9285-d85055c2d281"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006010.lean\",\"406f03100393472e5999e246e144bb44c07ca656bf684cf2667a23123fa86899\",0,\"algebra_164686\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006011.lean\",\"6d457eef7529bca48cd5b9e6ff74a290bb07cc9de9bff3e83663b8821ff74278\",0,\"number_theory_158922\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006012.lean\",\"00207f145549d6671bae5749399119e54ca1185e961f1844364c259524cfce78\",0,\"algebra_313199\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006013.lean\",\"2b4f4881364ba243c48222e28d2125e7c9bd278211ff5a32222e6d32ce2a708b\",0,\"algebra_73510\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006014.lean\",\"264b7dcb6fd1ced2d69484e6853d6ceaefdcb054f5f092932364540c1101bf90\",0,\"number_theory_325943\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001203.json b/manifests/batches/numina/001203.json
index 1c16eb40c9bf31c6ade8511c004e4d35c87bffc1..da8a182c5a9c90c8bbcc706b0089c20ca9c09bb4 100644
--- a/manifests/batches/numina/001203.json
+++ b/manifests/batches/numina/001203.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001203",
   "batch_fingerprint": "957e35ea8d7c61282d059c1e51dcf4baf8f9566d0c520ea8d9ff923d00ee6771",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001203-0000-74e89e8141da02ca.parquet",
-      "sha256": "74e89e8141da02ca9ae8bc91f7862cef2a7373d2a2ed833c81703aace4af3670",
-      "bytes": 549610,
-      "rows": 38,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    },
-    {
-      "path": "data/internal_test/numina-001203-0000-85b434f85a2db7e3.parquet",
-      "sha256": "85b434f85a2db7e3ed62ccab79e4f316836ba0553aeddd0fec934210547301a6",
-      "bytes": 48773,
-      "rows": 6,
-      "revision": "0caed8637c2c97c80aa874d19d3037187e9a4050"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:028b2042-a45a-5017-b476-4bb05849a933",
     "numina:0593f7aa-5182-564b-b5e1-161cdf7d3d28",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006017.lean\",\"424c22b11fd41aff7bfc2d9e35fd65eafb1aad4dafec3c7c4b751f93b14c0288\",0,\"algebra_162725\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006018.lean\",\"1eccc0e0b2594e459143bc4342faacae8d37ca6d30fa3c9d310b1cf49d5a222d\",0,\"algebra_162771\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006019.lean\",\"5fc821e12ec6220dc83cb93fd25567dd74b3b96c08ca9e686233d201db0497cd\",0,\"algebra_308326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 549610,
+      "path": "data/train/pd3/numina-001203-0000-74e89e8141da02ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "74e89e8141da02ca9ae8bc91f7862cef2a7373d2a2ed833c81703aace4af3670"
+    },
+    {
+      "bytes": 48773,
+      "path": "data/internal_test/pd3/numina-001203-0000-85b434f85a2db7e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "85b434f85a2db7e3ed62ccab79e4f316836ba0553aeddd0fec934210547301a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001204.json b/manifests/batches/numina/001204.json
index 6670d980ec4279a23989f8b9656e0aa9518ba38a..65f7583ae3161d5be5f7fb247a9570e9531983c1 100644
--- a/manifests/batches/numina/001204.json
+++ b/manifests/batches/numina/001204.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001204",
   "batch_fingerprint": "1517e26486eb1f8e8eef51d9f54495ef2187f3a10ad181b9dac938733af40efc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001204-0000-9c16f5415f2af1f4.parquet",
-      "sha256": "9c16f5415f2af1f4b7a1010b2296d7c128cea4390e0634346a9c942002ef6233",
-      "bytes": 768207,
-      "rows": 26,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/train/numina-001204-0001-631ab4f5e1aa3274.parquet",
-      "sha256": "631ab4f5e1aa32741e6d485d0fe2d1e547a04665c491d9e845a9ac84a879654e",
-      "bytes": 2667328,
-      "rows": 1,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/internal_test/numina-001204-0000-ddc9e534510edd59.parquet",
-      "sha256": "ddc9e534510edd593d58e5dc505f835eee2347c374ae0adde5e503d74ef52af9",
-      "bytes": 202212,
-      "rows": 12,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06fcc85b-9b39-5e48-bc4f-6c860f27dc30",
     "numina:1ee411ee-8ba4-55e1-899b-11d82c4e490d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006022.lean\",\"9126fc23c1cf80dbba2f70b9ec602e15ccea9f0044ee37af7dfb5d1f0a26187b\",0,\"inequalities_163495\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006023.lean\",\"dd62575bbf296d7ed5a1afcc747998e6bab4c52ea15d6b58f5a99e3a7ab1156e\",0,\"algebra_163240\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006024.lean\",\"1cf1876bdb5a4867d66666ddfae4fbaddda214984985c2d22c9efe3f02d15c0d\",0,\"inequalities_603679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 768207,
+      "path": "data/train/p15/numina-001204-0000-9c16f5415f2af1f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "9c16f5415f2af1f4b7a1010b2296d7c128cea4390e0634346a9c942002ef6233"
+    },
+    {
+      "bytes": 2667328,
+      "path": "data/train/p15/numina-001204-0001-631ab4f5e1aa3274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "631ab4f5e1aa32741e6d485d0fe2d1e547a04665c491d9e845a9ac84a879654e"
+    },
+    {
+      "bytes": 202212,
+      "path": "data/internal_test/p15/numina-001204-0000-ddc9e534510edd59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ddc9e534510edd593d58e5dc505f835eee2347c374ae0adde5e503d74ef52af9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001205.json b/manifests/batches/numina/001205.json
index 2ff49952e00f5c2369dba2fa24a0d1fe88e4961f..7fb95a2b3e80d4d7a9e329921a7daee814a82556 100644
--- a/manifests/batches/numina/001205.json
+++ b/manifests/batches/numina/001205.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001205",
   "batch_fingerprint": "3be4bd0b961ba1b2c45964bf1871caf669d19eea045a113c13952e5af1c1f173",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001205-0000-39f37b292731cd7d.parquet",
-      "sha256": "39f37b292731cd7d39657f296fc2514ad3b06dff02cb56af8a337ade70c3ccda",
-      "bytes": 216686,
-      "rows": 25,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/numina-001205-0000-ee796a7dcf3222bf.parquet",
-      "sha256": "ee796a7dcf3222bf7bf87b3f306f8e895c646f76286c9ec490ffe53befd46d08",
-      "bytes": 199379,
-      "rows": 4,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:012c7555-4453-5fbd-8915-2170f16aff05",
     "numina:91629878-d0b1-5cc8-bd36-d1a9a4774a82",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006027.lean\",\"f214fc87fb586118a9f797406a5022f76fb7693083022c11db822cef99b64b2c\",0,\"algebra_327523\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006028.lean\",\"91b602bb1069c3018d38211ef5fa129b014983b508238b30c216e14b8afe38cb\",0,\"number_theory_605979\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006029.lean\",\"a303fb4b1c5c0d4380d555ccdcaf2e34b3b07f23ad765e1775b1c7e034231d43\",0,\"number_theory_169734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216686,
+      "path": "data/train/p31/numina-001205-0000-39f37b292731cd7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "39f37b292731cd7d39657f296fc2514ad3b06dff02cb56af8a337ade70c3ccda"
+    },
+    {
+      "bytes": 199379,
+      "path": "data/internal_test/p31/numina-001205-0000-ee796a7dcf3222bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ee796a7dcf3222bf7bf87b3f306f8e895c646f76286c9ec490ffe53befd46d08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001206.json b/manifests/batches/numina/001206.json
index e6d4a7d77050f85c909aa478541458f436220bd7..9943548c8024f8d30d3e1efdc53a1a398c329929 100644
--- a/manifests/batches/numina/001206.json
+++ b/manifests/batches/numina/001206.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001206",
   "batch_fingerprint": "bb050e71ae6dd2978ffa8ea14a7e5813060391b50748f72632395ec6114e110b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001206-0000-b8f6a4cd77095bbe.parquet",
-      "sha256": "b8f6a4cd77095bbe508cf918415cb4913057fdb2feb89340e4739a1837fda650",
-      "bytes": 693623,
-      "rows": 106,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/train/numina-001206-0001-4c13c80a21f2eb09.parquet",
-      "sha256": "4c13c80a21f2eb09a90a2596e126c28550269f44c6f2c0c40438b0037665c523",
-      "bytes": 276382,
-      "rows": 33,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/numina-001206-0000-4c9b10168a3c45ec.parquet",
-      "sha256": "4c9b10168a3c45ec539b4e11a6ff98c2bc417fd292b67ad46ca52f65bcf5d5bb",
-      "bytes": 118089,
-      "rows": 20,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5f89382b-7ee8-507c-a645-75d062e9c1bf",
     "numina:6c09f387-0106-5da6-b042-b09de930f110",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006032.lean\",\"a14dfcec8ff8a50c262f9d6d310f9266746283b24f0feb7feee318b4d61ec5b9\",0,\"algebra_164075\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006033.lean\",\"147f13eb96632a66210ff0b54d362f93d91211a7584a09749d0be6615a9aa208\",0,\"algebra_166627\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006034.lean\",\"7479f9da52ba0f36c78408438643e9b4fb6e5e98eb1d735c43687d49f6e1af4a\",0,\"algebra_324732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 693623,
+      "path": "data/train/p25/numina-001206-0000-b8f6a4cd77095bbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 106,
+      "sha256": "b8f6a4cd77095bbe508cf918415cb4913057fdb2feb89340e4739a1837fda650"
+    },
+    {
+      "bytes": 276382,
+      "path": "data/train/p25/numina-001206-0001-4c13c80a21f2eb09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4c13c80a21f2eb09a90a2596e126c28550269f44c6f2c0c40438b0037665c523"
+    },
+    {
+      "bytes": 118089,
+      "path": "data/internal_test/p25/numina-001206-0000-4c9b10168a3c45ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4c9b10168a3c45ec539b4e11a6ff98c2bc417fd292b67ad46ca52f65bcf5d5bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001207.json b/manifests/batches/numina/001207.json
index e933228e448ecd45fc9c00107ac512eaecd3cdd6..3a535baa80e92b57f85b47737dcc14fd9cfd91df 100644
--- a/manifests/batches/numina/001207.json
+++ b/manifests/batches/numina/001207.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001207",
   "batch_fingerprint": "18cc49d2e540c06b99b8086101f2c5ad9ad217f798ba2126c003cc9725aee284",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:04a27118-ed36-52b7-b31d-3fddffe4f704",
+    "numina:068cedb2-8677-531c-98a7-f488782d4b6e",
+    "numina:2341777f-9b89-5bb6-a321-60d6e33d9dff",
+    "numina:b2919ff3-e1a5-5448-a2ca-c58ac3d37600",
+    "numina:c5e74a2a-63a6-52f9-9de3-7feaa2073499"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006035.lean\",\"fd07e94765abc89c70b205c9c9c4599cb53d7580493c2a298a9d7d56efe48402\",0,\"algebra_316930\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006036.lean\",\"f008186acc22eeb056eea6041fb6472c4c306fc81364ee9115bd8383de98ba21\",0,\"algebra_170282\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006037.lean\",\"984915d32420748d417f2d1b016af73e7db18b1992bfb82027c9d86e8856a2f7\",0,\"algebra_318088\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006038.lean\",\"2e28ba445fdca70ef4f8784bb2a76fd5211a5bc200c5204cba04bedaa5c6810d\",0,\"number_theory_70844\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006039.lean\",\"1282cd7ed869c4defd4806d3e1fce8ef479e52f36b86465f89db679ca21a29ce\",0,\"algebra_70863\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001207-0000-c3dfcdb67016c8cc.parquet",
-      "sha256": "c3dfcdb67016c8cc0fc92e4540c50fc329f26af6aa1b91b85dca19fc7971ac38",
       "bytes": 51929,
+      "path": "data/train/p15/numina-001207-0000-c3dfcdb67016c8cc.parquet",
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       "rows": 3,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
+      "sha256": "c3dfcdb67016c8cc0fc92e4540c50fc329f26af6aa1b91b85dca19fc7971ac38"
     },
     {
-      "path": "data/train/numina-001207-0001-eb79c8d7988df6fd.parquet",
-      "sha256": "eb79c8d7988df6fdabaae61b33d3ab51bc4bd8ae829ace17c7f18b2f670cd818",
       "bytes": 710591,
+      "path": "data/train/p15/numina-001207-0001-eb79c8d7988df6fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
+      "sha256": "eb79c8d7988df6fdabaae61b33d3ab51bc4bd8ae829ace17c7f18b2f670cd818"
     },
     {
-      "path": "data/train/numina-001207-0002-e9c1114c007862eb.parquet",
-      "sha256": "e9c1114c007862eb47275db602afd0bc68cb379a13e67fd09eab6bd5b8f5fa27",
       "bytes": 482666,
+      "path": "data/train/p15/numina-001207-0002-e9c1114c007862eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
+      "sha256": "e9c1114c007862eb47275db602afd0bc68cb379a13e67fd09eab6bd5b8f5fa27"
     },
     {
-      "path": "data/internal_test/numina-001207-0000-a1741dba87c6dfb6.parquet",
-      "sha256": "a1741dba87c6dfb67187413861057d0230b7ee1048776b834c675d54c04ba765",
       "bytes": 100930,
+      "path": "data/internal_test/p15/numina-001207-0000-a1741dba87c6dfb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 32,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
+      "sha256": "a1741dba87c6dfb67187413861057d0230b7ee1048776b834c675d54c04ba765"
     }
-  ],
-  "proof_ids": [
-    "numina:04a27118-ed36-52b7-b31d-3fddffe4f704",
-    "numina:068cedb2-8677-531c-98a7-f488782d4b6e",
-    "numina:2341777f-9b89-5bb6-a321-60d6e33d9dff",
-    "numina:b2919ff3-e1a5-5448-a2ca-c58ac3d37600",
-    "numina:c5e74a2a-63a6-52f9-9de3-7feaa2073499"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006035.lean\",\"fd07e94765abc89c70b205c9c9c4599cb53d7580493c2a298a9d7d56efe48402\",0,\"algebra_316930\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006036.lean\",\"f008186acc22eeb056eea6041fb6472c4c306fc81364ee9115bd8383de98ba21\",0,\"algebra_170282\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006037.lean\",\"984915d32420748d417f2d1b016af73e7db18b1992bfb82027c9d86e8856a2f7\",0,\"algebra_318088\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006038.lean\",\"2e28ba445fdca70ef4f8784bb2a76fd5211a5bc200c5204cba04bedaa5c6810d\",0,\"number_theory_70844\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006039.lean\",\"1282cd7ed869c4defd4806d3e1fce8ef479e52f36b86465f89db679ca21a29ce\",0,\"algebra_70863\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001208.json b/manifests/batches/numina/001208.json
index 3143a4e5d5c49e3ceb14992e8e4e1432a9795609..93d0385c830a7bd55c3eeb25c204aa7eef8fac36 100644
--- a/manifests/batches/numina/001208.json
+++ b/manifests/batches/numina/001208.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001208",
   "batch_fingerprint": "738a01919c2f7c2a5a2d3955486b2cf022e667ff47f329e335f40b0292c742dc",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001208-0000-fc16f8d9221c0653.parquet",
-      "sha256": "fc16f8d9221c065368202eb57c7e704fe31b4f437beb2dff99ccfb7484002ea1",
-      "bytes": 598273,
-      "rows": 68,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/train/numina-001208-0001-5d892805a371bc69.parquet",
-      "sha256": "5d892805a371bc6979466c6bb0e1ee34a8112bbe666ee17ee372437c762eaa71",
-      "bytes": 141073,
-      "rows": 22,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/dev/numina-001208-0000-13416ee01b466791.parquet",
-      "sha256": "13416ee01b46679140cae4d2475a68adc39100a60cd7552368cd280aa4a53327",
-      "bytes": 112431,
-      "rows": 5,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:217d9dd3-844c-5784-8927-90abfbf6a092",
     "numina:6ed2783f-f5e6-53a5-b486-32a401e9486a",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006042.lean\",\"2cf6e83587cb74675897721a1993303a5cb7f63b26188acb15538d1f48cb0be4\",0,\"algebra_168119\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006043.lean\",\"b32da583e73032515b3cdd5d90501515ddee279850607f191834ed478b07da55\",1,\"algebra_321203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006044.lean\",\"2ad726d0ea58594526fcdc9e7f35924646bc0ddf85041c5ae37c8d7ea4de6930\",0,\"algebra_188099\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598273,
+      "path": "data/train/pfe/numina-001208-0000-fc16f8d9221c0653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "fc16f8d9221c065368202eb57c7e704fe31b4f437beb2dff99ccfb7484002ea1"
+    },
+    {
+      "bytes": 141073,
+      "path": "data/train/pfe/numina-001208-0001-5d892805a371bc69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5d892805a371bc6979466c6bb0e1ee34a8112bbe666ee17ee372437c762eaa71"
+    },
+    {
+      "bytes": 112431,
+      "path": "data/dev/pfe/numina-001208-0000-13416ee01b466791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "13416ee01b46679140cae4d2475a68adc39100a60cd7552368cd280aa4a53327"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001209.json b/manifests/batches/numina/001209.json
index 344014a60558738f1f084cc8798869fedc7d917f..65a613fe0887f923a1a3d1ce3fab6fe048ede673 100644
--- a/manifests/batches/numina/001209.json
+++ b/manifests/batches/numina/001209.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001209",
   "batch_fingerprint": "3a46790c617595be4e3a542f4cf34649d3800323fbe821eb2959be4c9b5746e8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001209-0000-db44d8b72b000662.parquet",
-      "sha256": "db44d8b72b000662fd3327bba632393621fbce1f0c55a898d5611ad289750d7d",
-      "bytes": 430803,
-      "rows": 57,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f9f4f42-e955-5329-8b62-24c51725b432",
     "numina:34873824-b2cd-538e-8b26-f466380b2bf1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006047.lean\",\"fd76b2b3ee221a475d447075fbe0e8f65713c718d3e1c43af9332956f2b57a6f\",0,\"algebra_317265\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006048.lean\",\"c60895fedaeca58fd68ad49684b65f286d68798a75273827fe21ae2b1a2bd9dd\",0,\"algebra_169204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006049.lean\",\"60e944a0010db6a8b7483d4ffa5ba23a86a8a58cf2a28da8cbacc31cda579e34\",0,\"calculus_12345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 430803,
+      "path": "data/train/p3b/numina-001209-0000-db44d8b72b000662.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "db44d8b72b000662fd3327bba632393621fbce1f0c55a898d5611ad289750d7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001210.json b/manifests/batches/numina/001210.json
index 745191d10fb1d9272d8d9c4ab13867b9f39de18d..8e8065c53319bc4fdcea9512d979d212444feb11 100644
--- a/manifests/batches/numina/001210.json
+++ b/manifests/batches/numina/001210.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001210",
   "batch_fingerprint": "1990b5d614ffa6ebbcc73c1b566b2d50248b8ed0e3ee9d4c9af157333dfcb419",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001210-0000-99f5b86b13d005bc.parquet",
-      "sha256": "99f5b86b13d005bc4247c0168177394c14d0dc92a835e282a6ac89877b0b003e",
-      "bytes": 683291,
-      "rows": 34,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    },
-    {
-      "path": "data/train/numina-001210-0001-f489d2ee191b932e.parquet",
-      "sha256": "f489d2ee191b932e3981c3b0592fd9e127692751bdb1f8fa62bf6327fc031acc",
-      "bytes": 2204063,
-      "rows": 1,
-      "revision": "944914471751ca16833bba85f3383de08e06bffe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d9b4d0a-e8f5-51c0-9456-461bdf4f44b3",
     "numina:4ae54065-bcf0-5cfe-b17b-7851d8c27c32",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006052.lean\",\"3e46a2b78c3264ea7bb45ddafcd4ebeb491eb8a7c1234d3176e52cf1d0023f8b\",0,\"number_theory_321661\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006053.lean\",\"946652e43f87b01b919a1ae3af3879acc0adc768cc3a780dc7fa8a7324d82eb5\",1,\"algebra_178443\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006054.lean\",\"11aa9c53c81cd915750926dfa250b71240a97ab921f13dc5a5e2080735342cdc\",0,\"inequalities_200001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 683291,
+      "path": "data/train/p5c/numina-001210-0000-99f5b86b13d005bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "99f5b86b13d005bc4247c0168177394c14d0dc92a835e282a6ac89877b0b003e"
+    },
+    {
+      "bytes": 2204063,
+      "path": "data/train/p5c/numina-001210-0001-f489d2ee191b932e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "f489d2ee191b932e3981c3b0592fd9e127692751bdb1f8fa62bf6327fc031acc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001211.json b/manifests/batches/numina/001211.json
index 9f90bda245fd934fd1337cb1f0989f55e003b325..742954ec9c5a5d6043082b49b399d300db9666e3 100644
--- a/manifests/batches/numina/001211.json
+++ b/manifests/batches/numina/001211.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001211",
   "batch_fingerprint": "42aa4d771bcdf53e5f43c79db50e483bd8e069b64ecd9c14380479c741efd1a1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001211-0000-4afc4214ea320513.parquet",
-      "sha256": "4afc4214ea32051366e43c318ed7bea924cf96d6a1b295e4e8133598a5989d4e",
-      "bytes": 376818,
-      "rows": 29,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    },
-    {
-      "path": "data/internal_test/numina-001211-0000-0a4c9ac04672983a.parquet",
-      "sha256": "0a4c9ac04672983a6643bbc2ef61e61a533207b21c6c27e26e85766c85d4c80a",
-      "bytes": 160351,
-      "rows": 22,
-      "revision": "f513fd177846edf61484b20a988ac68d57c00f2e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:481942b9-9c9b-520d-95cf-8bc9bfd19f39",
     "numina:553177a5-7eed-5879-98d3-0fe98653cfc7",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006057.lean\",\"b80e91fe5294950f0c1a0a73037797a6a0a8a4220121e2bc74b5a49a596f233c\",0,\"number_theory_622313\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006058.lean\",\"ff0cca1c09c110bf88ef4a17eb560cac146fb67a0f032e8a9e376c097f957a4e\",0,\"algebra_170201\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006059.lean\",\"a718dc29e83ab7227bf67afba096fdf9d7adba4a3f30950942b2d57f770d0b8d\",0,\"algebra_175543\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376818,
+      "path": "data/train/p76/numina-001211-0000-4afc4214ea320513.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "4afc4214ea32051366e43c318ed7bea924cf96d6a1b295e4e8133598a5989d4e"
+    },
+    {
+      "bytes": 160351,
+      "path": "data/internal_test/p76/numina-001211-0000-0a4c9ac04672983a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0a4c9ac04672983a6643bbc2ef61e61a533207b21c6c27e26e85766c85d4c80a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001212.json b/manifests/batches/numina/001212.json
index 98f7b8300231298b22e64a4bcdabfd32b5e56d71..add94b0102f692a4e8d5239647efc01a00ff81c3 100644
--- a/manifests/batches/numina/001212.json
+++ b/manifests/batches/numina/001212.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001212",
   "batch_fingerprint": "e040a1373290b06dc3f37e5234c519d8dea27f7842985aceff9bc037c611fc2c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001212-0000-0ee33181f6bfeeb5.parquet",
-      "sha256": "0ee33181f6bfeeb5086f7459774bcad2ff4d4db4a4063218024254ee0f765a0c",
-      "bytes": 486590,
-      "rows": 15,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0490c5e2-22d7-58d0-85c9-e3d695810d49",
     "numina:3be74e7f-5b09-597b-9023-7c5a0d5766db",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006062.lean\",\"b97f89ff4cf5aa6eca0f52dcaa7a1d0f2cc487e9df4b96d8cc638c774830abf3\",0,\"algebra_93233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006063.lean\",\"63377ae930fb34741b228221606121f2d6a4b7ac5d754ac678809f9bb0b7d45e\",0,\"number_theory_325455\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006064.lean\",\"1d2ce855a9303dfe581f00de3101ae6cab6c892d3ace0fb111466758b10f2574\",0,\"number_theory_168014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 486590,
+      "path": "data/train/p89/numina-001212-0000-0ee33181f6bfeeb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0ee33181f6bfeeb5086f7459774bcad2ff4d4db4a4063218024254ee0f765a0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001213.json b/manifests/batches/numina/001213.json
index 30b9916827e47d13ad98bb90b648bd67c692ec47..cc1a8697ea75f7372eea61bd70d09bf56ea141ed 100644
--- a/manifests/batches/numina/001213.json
+++ b/manifests/batches/numina/001213.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001213",
   "batch_fingerprint": "5783adf67605f47fd05278f6f82f221a5d4e0886ed308dce0866ee3c7d5028be",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001213-0000-56d62a9c65f7e17a.parquet",
-      "sha256": "56d62a9c65f7e17a13713287aeffef4fc199cffcfdd7830392959db94a50ad0c",
-      "bytes": 375459,
-      "rows": 20,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/numina-001213-0000-8f80d9a4c89de4ad.parquet",
-      "sha256": "8f80d9a4c89de4adc25da8d3c375da5878b71a7fc8f831617fabf6faba30b6b8",
-      "bytes": 45866,
-      "rows": 6,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28b6fa94-a3e0-5bea-827f-1e57cf031415",
     "numina:4be7b59f-2fbe-5d86-9149-9678b74f239d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006067.lean\",\"07f4403e20404fffba1d626386a0c8b8ecbb6bd2b28dfa2a23b929964faaa826\",0,\"number_theory_599878\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006068.lean\",\"5db9a70389ae8078438ec536d48401c9aedbd555ad2106190d10ebc97bae2db0\",0,\"algebra_170339\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006069.lean\",\"51f61de26d323990b9587e51fc29f710b3019962f66e1ca27e3265cad4e56b58\",0,\"number_theory_325554\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375459,
+      "path": "data/train/p8a/numina-001213-0000-56d62a9c65f7e17a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "56d62a9c65f7e17a13713287aeffef4fc199cffcfdd7830392959db94a50ad0c"
+    },
+    {
+      "bytes": 45866,
+      "path": "data/internal_test/p8a/numina-001213-0000-8f80d9a4c89de4ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8f80d9a4c89de4adc25da8d3c375da5878b71a7fc8f831617fabf6faba30b6b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001214.json b/manifests/batches/numina/001214.json
index d41db1b975154c64a9ad939704e507f26465f0e8..ef1a9ff56548b6d9d73463c4b5a3ba63cec8e45c 100644
--- a/manifests/batches/numina/001214.json
+++ b/manifests/batches/numina/001214.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001214",
   "batch_fingerprint": "2ec646b6ed5af6003ad426ee0e32b097dcf0a52acdfcdc6f313cecf4c0b5706d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001214-0000-c51b4bb382277d95.parquet",
-      "sha256": "c51b4bb382277d95eb8403329732277c67e7086ae5ca2ce7f42ed216b4a8500b",
-      "bytes": 488622,
-      "rows": 14,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/numina-001214-0000-76785508fe3cd5be.parquet",
-      "sha256": "76785508fe3cd5be252478add98e095e6365f5c8ec00649a49d89c399ca5dabb",
-      "bytes": 179841,
-      "rows": 10,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26252760-eff1-5bb1-91a1-d3ca42ec6a3c",
     "numina:80cfd283-05d0-5cbd-9255-b643c6ad1f52",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006072.lean\",\"d7b0dc86cb01c7115430f8084355610af0d8d796d21d4c5f5f9e834d3992c996\",1,\"number_theory_199932\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006073.lean\",\"52ff4d54ef6919c5bafbea03af044751d2f38a909be80db13547db871901293e\",0,\"number_theory_600025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006074.lean\",\"fa44badfa8735107ef3a5d728230f0cd63395652d4520ab07cc94209f7ddda2d\",3,\"number_theory_142167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488622,
+      "path": "data/train/pcd/numina-001214-0000-c51b4bb382277d95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c51b4bb382277d95eb8403329732277c67e7086ae5ca2ce7f42ed216b4a8500b"
+    },
+    {
+      "bytes": 179841,
+      "path": "data/dev/pcd/numina-001214-0000-76785508fe3cd5be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "76785508fe3cd5be252478add98e095e6365f5c8ec00649a49d89c399ca5dabb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001215.json b/manifests/batches/numina/001215.json
index ccef15ebdc90be1404b2154c2bd7a806d18d0b82..39c6993a4ccf4684ad78866dadb8ed6d2762b8a4 100644
--- a/manifests/batches/numina/001215.json
+++ b/manifests/batches/numina/001215.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001215",
   "batch_fingerprint": "15def48692b2a9334308e8370250ca04ead8e9bf1c17533875e560a3f74ca8a4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001215-0000-9c82f20b2d83939f.parquet",
-      "sha256": "9c82f20b2d83939f317d750808ef94ab10c8004b9e42ec42ca909696c004ee4e",
-      "bytes": 707279,
-      "rows": 59,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/train/numina-001215-0001-2b2be1403f7a2d9d.parquet",
-      "sha256": "2b2be1403f7a2d9deb5252665753afb97c2faeb4f8ce89fccbc911f35213c0a4",
-      "bytes": 898884,
-      "rows": 6,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d2ed039-79e8-557b-8fc3-1f56775d79dc",
     "numina:2b455f2f-c2cd-5c0b-b96f-7c51234d0437",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006077.lean\",\"9f581deb961a9d91e41185c32eb3657fc4da5a235fb79d050a1ee0d3600d5b74\",0,\"number_theory_598621\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006078.lean\",\"1c29192a75e9d56d66e205fa37c95a779a3d4e9f68614a37bae0613e0dfec18e\",2,\"number_theory_80585\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006079.lean\",\"ba2007d5161ae5c975be9ede3a48332ee24229aea7093be4cdbd5afad76844c1\",0,\"algebra_604385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707279,
+      "path": "data/train/p94/numina-001215-0000-9c82f20b2d83939f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "9c82f20b2d83939f317d750808ef94ab10c8004b9e42ec42ca909696c004ee4e"
+    },
+    {
+      "bytes": 898884,
+      "path": "data/train/p94/numina-001215-0001-2b2be1403f7a2d9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2b2be1403f7a2d9deb5252665753afb97c2faeb4f8ce89fccbc911f35213c0a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001216.json b/manifests/batches/numina/001216.json
index 016090a793faa9b193cf66efaa1a51eaf739be55..15cfaec247952748022aabe59092121feadb384a 100644
--- a/manifests/batches/numina/001216.json
+++ b/manifests/batches/numina/001216.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001216",
   "batch_fingerprint": "feab94c48b53189cf7c4156d8b6b238e44a7bb179ca7e25bfa0b7111fcd07f0f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001216-0000-72c2ba05d910b088.parquet",
-      "sha256": "72c2ba05d910b088830ec00ee56a52baeabca5f27fc60f1a3f75f7fb1955a3e7",
-      "bytes": 526660,
-      "rows": 17,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/numina-001216-0000-ff2f109cf1a900c7.parquet",
-      "sha256": "ff2f109cf1a900c7d8f21b2024b7caa4aa09426d17b0d89957c89abb13e484e5",
-      "bytes": 107589,
-      "rows": 6,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3b2bb959-2a39-584c-8882-3cd6abcdf094",
     "numina:6852c572-18f6-5b66-82d4-605a715a7087",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006082.lean\",\"b9f7db71d026a821083a6342dcd3c2a8c0c0175de67bf5e931b40b822e7f8188\",0,\"number_theory_604025\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006083.lean\",\"2a7322a1c895c902499679ee52c8f93fa0609ac3a3cc35b23e2057605a4642a8\",0,\"algebra_604344\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006084.lean\",\"dab1291c19c548984509ad1a80625c618c3cc158f178d145fb4aa5a3ac46a48d\",0,\"number_theory_250507\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 526660,
+      "path": "data/train/p6f/numina-001216-0000-72c2ba05d910b088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "72c2ba05d910b088830ec00ee56a52baeabca5f27fc60f1a3f75f7fb1955a3e7"
+    },
+    {
+      "bytes": 107589,
+      "path": "data/internal_test/p6f/numina-001216-0000-ff2f109cf1a900c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ff2f109cf1a900c7d8f21b2024b7caa4aa09426d17b0d89957c89abb13e484e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001217.json b/manifests/batches/numina/001217.json
index c7f2e0442b218481ace887d6d86cba814361a693..4c67177867121ce4587e218e96be45474d5c75e6 100644
--- a/manifests/batches/numina/001217.json
+++ b/manifests/batches/numina/001217.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001217",
   "batch_fingerprint": "9db26fea09821ee36fbf011f48fcd29eb8db356d82098de9cd01a16e6bcb763c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001217-0000-c19ed468ca85f329.parquet",
-      "sha256": "c19ed468ca85f3294eaf0aa15ab9f5fad41bb07255b3b31f2a54fe2afe95d1a1",
-      "bytes": 218404,
-      "rows": 37,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/internal_test/numina-001217-0000-16814cbdc8ddcf7d.parquet",
-      "sha256": "16814cbdc8ddcf7dcf1be7331411985945b94eed532b97062f3af180c19699fa",
-      "bytes": 72520,
-      "rows": 24,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51eda66a-ce66-5f62-9562-313f221a7c09",
     "numina:9cac13e7-f3d9-5609-bfe1-a7f1d3913606",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006087.lean\",\"2954ee709c6d44bd3b247dc88afcb0103676676e234014fec9afe6261e5ef4c6\",0,\"algebra_604918\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006088.lean\",\"b732c71033f9644f52a1f03be2cb60486520c6e1f5dccab424faf5e8152d1da4\",0,\"algebra_172807\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006089.lean\",\"e20d9cd472fa8fe71021e7a3370ad9b6041b0b21c5c772225abeff59388d91aa\",0,\"algebra_199491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218404,
+      "path": "data/train/pa4/numina-001217-0000-c19ed468ca85f329.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "c19ed468ca85f3294eaf0aa15ab9f5fad41bb07255b3b31f2a54fe2afe95d1a1"
+    },
+    {
+      "bytes": 72520,
+      "path": "data/internal_test/pa4/numina-001217-0000-16814cbdc8ddcf7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "16814cbdc8ddcf7dcf1be7331411985945b94eed532b97062f3af180c19699fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001218.json b/manifests/batches/numina/001218.json
index e2ea365c2de5e82de98693779f9b871e9635c9cf..43e406e10a6abba14d02cbb05b9765c1cdac4829 100644
--- a/manifests/batches/numina/001218.json
+++ b/manifests/batches/numina/001218.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001218",
   "batch_fingerprint": "501c36a2711cbc585fb0b47b7a046f52546debb02224e387aa7c86a1bdc88b4c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001218-0000-e63bb7326d7fb5fd.parquet",
-      "sha256": "e63bb7326d7fb5fd796a2e7a2c1e44d3148669c40deeed4cc140eca68e3ff4ec",
-      "bytes": 411211,
-      "rows": 34,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    },
-    {
-      "path": "data/train/numina-001218-0001-f86d6487f6805bb3.parquet",
-      "sha256": "f86d6487f6805bb30663057bc7a4029068df12ac6284b99a3f008977878021b1",
-      "bytes": 590387,
-      "rows": 4,
-      "revision": "c85b16f775f6f102122053b0ecdce5ecb56ec1ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:152731e7-c344-5b06-bd3c-39c5cc295cf2",
     "numina:51da5931-dc98-5e7f-91f5-7f2175f9c9a1",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006092.lean\",\"42be279db71e2f5caa900b1a15930a0185b47ad510f3f9380456faac2ac980cb\",0,\"inequalities_604589\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006093.lean\",\"0a58d17e5a41ef163564f49ee8e1d387970a842c695f8eee22d759575cd730d9\",2,\"algebra_196477\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006094.lean\",\"bff4abffdb94a35b8aaf23a81894b3e960b0f49247863ca54306fea1793bc1be\",0,\"algebra_604531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411211,
+      "path": "data/train/p58/numina-001218-0000-e63bb7326d7fb5fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "e63bb7326d7fb5fd796a2e7a2c1e44d3148669c40deeed4cc140eca68e3ff4ec"
+    },
+    {
+      "bytes": 590387,
+      "path": "data/train/p58/numina-001218-0001-f86d6487f6805bb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f86d6487f6805bb30663057bc7a4029068df12ac6284b99a3f008977878021b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001219.json b/manifests/batches/numina/001219.json
index c81bbb50bb866b6ef439fd01ff4e4451026bab1d..9d92879e9821b2b5bef188d48cbd08aa03fed4a2 100644
--- a/manifests/batches/numina/001219.json
+++ b/manifests/batches/numina/001219.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001219",
   "batch_fingerprint": "bee2553b4f2f5964302e5206c4171ad3dbd0c3e70e941ee38256b9ff54b8cb1c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001219-0000-2bdd36e831ebe7a5.parquet",
-      "sha256": "2bdd36e831ebe7a5e63f858a5bb5aba10a7512a2bafdd9a14b287976f94e3ebf",
-      "bytes": 617762,
-      "rows": 62,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    },
-    {
-      "path": "data/dev/numina-001219-0000-00d060ab8de4aa42.parquet",
-      "sha256": "00d060ab8de4aa42d08253da81086efde4e682c7bb9131e2ce357f21814396b1",
-      "bytes": 56628,
-      "rows": 3,
-      "revision": "809f84c93ea19a28b9c7bbe8a10557e5f2d7fb8d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:079539fa-7b15-5adb-a232-c0b28643b1ce",
     "numina:14cf2c74-709e-5278-bcfc-a94d09ec8662",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006097.lean\",\"5d77d8d4cb4ad1bd6fc991847813b2a801fab57c23b0195ecc78cc53f0cbdb9d\",0,\"algebra_182156\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006098.lean\",\"f15f020211f45a633ccba5de7ab3f2cd8adead467fb36851a93dae5a0238e490\",2,\"number_theory_184446\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006099.lean\",\"0a6ca2e79e5d48d76f43c2036c3eb8c2e5f60ac95ab680d9b2d53763cf8a5079\",0,\"inequalities_180349\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617762,
+      "path": "data/train/pad/numina-001219-0000-2bdd36e831ebe7a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "2bdd36e831ebe7a5e63f858a5bb5aba10a7512a2bafdd9a14b287976f94e3ebf"
+    },
+    {
+      "bytes": 56628,
+      "path": "data/dev/pad/numina-001219-0000-00d060ab8de4aa42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "00d060ab8de4aa42d08253da81086efde4e682c7bb9131e2ce357f21814396b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001220.json b/manifests/batches/numina/001220.json
index 969211960969d2e04984f40586da003eb74d90c0..6aae4dd192bd5e52e45222dd079c386636277e22 100644
--- a/manifests/batches/numina/001220.json
+++ b/manifests/batches/numina/001220.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001220",
   "batch_fingerprint": "a64744277dd2c5c0c79de991b311aaf22c6e738ba7bda3bc37cefeb794cbc52a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001220-0000-e8a3499b850fded1.parquet",
-      "sha256": "e8a3499b850fded17183d2b4ccf9fd41b81f066ea49eb43d49ef1f3417ac6d62",
-      "bytes": 289798,
-      "rows": 12,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    },
-    {
-      "path": "data/internal_test/numina-001220-0000-5a811cf6088b3add.parquet",
-      "sha256": "5a811cf6088b3adde8d9ba5e2686fe1e8f0e8a458cec6a26ff541420f4565d89",
-      "bytes": 164623,
-      "rows": 28,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5cd45862-7519-5fd8-b0ca-c593f172bc36",
     "numina:827702da-2b10-5cbc-848e-b3c15935bfc4",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006102.lean\",\"0d358664e317a8730a39c61b4eebadf7dfcff202252c83861b865055b331f70d\",1,\"number_theory_179555\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006103.lean\",\"19478fdfe19611b3610f2a5d5351ea75296ffb3fc2a030030759563aead4766c\",0,\"number_theory_60522\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006104.lean\",\"47c7518494c5c1a78e6d9f1b905c8c5556c807c4aada3ac18d21f4bbef655df5\",0,\"algebra_179054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289798,
+      "path": "data/train/p9b/numina-001220-0000-e8a3499b850fded1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e8a3499b850fded17183d2b4ccf9fd41b81f066ea49eb43d49ef1f3417ac6d62"
+    },
+    {
+      "bytes": 164623,
+      "path": "data/internal_test/p9b/numina-001220-0000-5a811cf6088b3add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5a811cf6088b3adde8d9ba5e2686fe1e8f0e8a458cec6a26ff541420f4565d89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001221.json b/manifests/batches/numina/001221.json
index 67268392c65b05cec5edb260fc4efe5a5599d1c6..5502e9b23a1ddcd179824124d40536aa5e08dc95 100644
--- a/manifests/batches/numina/001221.json
+++ b/manifests/batches/numina/001221.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001221",
   "batch_fingerprint": "283692c3d00bc295c59fcc431716cbffd233b073e19962c68135d414e64c4579",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001221-0000-89dc4a22a65fa623.parquet",
-      "sha256": "89dc4a22a65fa62366c2a2723ceb89966e22bfb88db53b668bc7e2b3b627da4b",
-      "bytes": 659184,
-      "rows": 22,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001221-0001-8e423168ea75e5bd.parquet",
-      "sha256": "8e423168ea75e5bd8e158b4ed5831a8984a34b6a858aee3b1f15ca338995d483",
-      "bytes": 151729,
-      "rows": 2,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/internal_test/numina-001221-0000-254d50158fe3b646.parquet",
-      "sha256": "254d50158fe3b64695323288b093306d2396745f80e2b096affa94e91a4a0b6f",
-      "bytes": 50487,
-      "rows": 6,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:58bc5a99-72bb-5e48-9546-77c7a93cb763",
     "numina:72f7e175-98af-555e-8bd1-fa9874d71a67",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006107.lean\",\"22ab96413569f45423f9b30d387f9ef58125aca1e860c020c248410d863a6677\",0,\"inequalities_92574\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006108.lean\",\"e1a4c8c6d4d0f88527f8f6bbe974545a6f03ce79f4032974ecacd10edb7805ae\",0,\"algebra_609402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006109.lean\",\"5997129063f31b557a1129538dce0968d8de46d9dbc1237348f975c1010b4766\",0,\"other_184663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 659184,
+      "path": "data/train/pf8/numina-001221-0000-89dc4a22a65fa623.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "89dc4a22a65fa62366c2a2723ceb89966e22bfb88db53b668bc7e2b3b627da4b"
+    },
+    {
+      "bytes": 151729,
+      "path": "data/train/pf8/numina-001221-0001-8e423168ea75e5bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e423168ea75e5bd8e158b4ed5831a8984a34b6a858aee3b1f15ca338995d483"
+    },
+    {
+      "bytes": 50487,
+      "path": "data/internal_test/pf8/numina-001221-0000-254d50158fe3b646.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "254d50158fe3b64695323288b093306d2396745f80e2b096affa94e91a4a0b6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001222.json b/manifests/batches/numina/001222.json
index 6b6b62703acff0499b52a2a74bbe07715fdc50f1..71e696f326f5034a02296cb2b771d02413bf3d78 100644
--- a/manifests/batches/numina/001222.json
+++ b/manifests/batches/numina/001222.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001222",
   "batch_fingerprint": "458d314e87e9125d376fa886f505e4fbbec92aec7fb0c518a152f5fa8c0755a7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001222-0000-65400c16cb9baaec.parquet",
-      "sha256": "65400c16cb9baaeccc91aab61e926edddf0dc9b69f7f881bf75e6fc55748926e",
-      "bytes": 586099,
-      "rows": 66,
-      "revision": "d2ff88d8c90e73857029ed9554df754c5057ea94"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05f39502-4a46-5dee-92e2-a72ab92a59be",
     "numina:4774ec01-cc5b-5eeb-b60a-a6eda3309291",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006112.lean\",\"d21a9569568e459ed83abb12fcb6e7f268b8d0b729e27ccd7171d0886f877df8\",0,\"number_theory_626484\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006113.lean\",\"97c4cd4f7d3d80de76eaeb38356338d435bb0ecfea478870ac429f817dacb5a1\",0,\"algebra_181161\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006114.lean\",\"89d81505fe3c35611efb3e82abbacd04a2b88e9a7596f982ee08f320d450daf3\",0,\"number_theory_88149\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586099,
+      "path": "data/train/pef/numina-001222-0000-65400c16cb9baaec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "65400c16cb9baaeccc91aab61e926edddf0dc9b69f7f881bf75e6fc55748926e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001223.json b/manifests/batches/numina/001223.json
index 517671800fae99e42ca93536ac76ebcd73869bf7..5006f32f1746fc343dd5a063c83fcff2c1f5d8bf 100644
--- a/manifests/batches/numina/001223.json
+++ b/manifests/batches/numina/001223.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001223",
   "batch_fingerprint": "97989df955c05892f969000981b7df3b6883b79aaaa24b35e692b521c1c7946f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001223-0000-a83faf99b73c8802.parquet",
-      "sha256": "a83faf99b73c880206cff5f69875353d417c1f1134bb52205bc7103c286bf6e1",
-      "bytes": 710803,
-      "rows": 24,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001223-0001-e89561405d7c15c0.parquet",
-      "sha256": "e89561405d7c15c0f0e3e5213d64edf23844dfa4e85dae37f8d3c7742574525c",
-      "bytes": 1549234,
-      "rows": 22,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001223-0002-49b73d79c097b6b6.parquet",
-      "sha256": "49b73d79c097b6b67bf890946da30a6391f26124da04f109e05ffaa3bf4d3381",
-      "bytes": 276141,
-      "rows": 12,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bd1b908-1c12-5076-b518-5144f764d12f",
     "numina:8f3a3904-2cf5-5591-8086-3e23212fe99f",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006117.lean\",\"14438f7807fff32f2a84a4d30800995a8eb3173c59e59c7c15ec042c1d35e466\",0,\"inequalities_180544\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006118.lean\",\"696add9659ab4561308d9754866ebc2b6923ff7458c03b2c966caafe4db4f2b9\",0,\"algebra_188296\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006119.lean\",\"0b453f866ca835a1baeedc403bb5ca2b39098d801dd84e7e3627adee0af6ca53\",0,\"number_theory_607606\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 710803,
+      "path": "data/train/p99/numina-001223-0000-a83faf99b73c8802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a83faf99b73c880206cff5f69875353d417c1f1134bb52205bc7103c286bf6e1"
+    },
+    {
+      "bytes": 1549234,
+      "path": "data/train/p99/numina-001223-0001-e89561405d7c15c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e89561405d7c15c0f0e3e5213d64edf23844dfa4e85dae37f8d3c7742574525c"
+    },
+    {
+      "bytes": 276141,
+      "path": "data/train/p99/numina-001223-0002-49b73d79c097b6b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "49b73d79c097b6b67bf890946da30a6391f26124da04f109e05ffaa3bf4d3381"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001224.json b/manifests/batches/numina/001224.json
index c57dce4ca326147b60bcfd7471a68e619e8f2876..be6d926f493e3ed1f738d8cbb054bd2ba61ea240 100644
--- a/manifests/batches/numina/001224.json
+++ b/manifests/batches/numina/001224.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001224",
   "batch_fingerprint": "a1d466b14fa0fd5490b18eca70b5decc3b7e0166822a5cb3b58ce8871587e9e1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001224-0000-a3830bbe25f3decf.parquet",
-      "sha256": "a3830bbe25f3decfad97c359382dfb97cea750d02dce8bd4f9a0f1402b6fc214",
-      "bytes": 515737,
-      "rows": 49,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/dev/numina-001224-0000-3bfffbd2eb08c90c.parquet",
-      "sha256": "3bfffbd2eb08c90c079dc0999b1a9826d475be39f4b56028288c73f784f49ee9",
-      "bytes": 126918,
-      "rows": 3,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:050904ce-e963-5265-b92a-f5a27f1ad3ce",
     "numina:989f4c73-572c-5180-ba96-4ad26fe34c1c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006122.lean\",\"5335ddf5a0c181bc90cb7d9fe70b9c19241199a754e109efa1ed645680fecb5f\",0,\"algebra_187409\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006123.lean\",\"596df615193cbefae8c459b5c80687bf171dd820f25a829a629e27540d2c69d1\",0,\"number_theory_630163\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006124.lean\",\"2bb2bcad5ef094b3a7336bbe1253661da10edfa34bb5da7a816726aa39ec5582\",0,\"number_theory_208096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515737,
+      "path": "data/train/p20/numina-001224-0000-a3830bbe25f3decf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "a3830bbe25f3decfad97c359382dfb97cea750d02dce8bd4f9a0f1402b6fc214"
+    },
+    {
+      "bytes": 126918,
+      "path": "data/dev/p20/numina-001224-0000-3bfffbd2eb08c90c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3bfffbd2eb08c90c079dc0999b1a9826d475be39f4b56028288c73f784f49ee9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001225.json b/manifests/batches/numina/001225.json
index 1e0052fe6d06c7a9df6f43394ebe1dd5632d00e1..c0d28d41a07e554b72046f148a665c7abc4dd49b 100644
--- a/manifests/batches/numina/001225.json
+++ b/manifests/batches/numina/001225.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001225",
   "batch_fingerprint": "3207c805d0f2832708f2f89c2fbb11af2a0741d4d1ba98693fa6a5b791808c19",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001225-0000-f16d95bf7ccf12a6.parquet",
-      "sha256": "f16d95bf7ccf12a6dc7a7be797bc8c9fe3fa34e8352eaa138955ad931a089f4d",
-      "bytes": 546423,
-      "rows": 52,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001225-0001-68657c5f30df711d.parquet",
-      "sha256": "68657c5f30df711dbbd7443c7eadd6b6214fa67c25e36a4ce3923c03d5301efe",
-      "bytes": 184223,
-      "rows": 19,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0139b048-4afb-5fc7-9dc7-77f366c015d3",
     "numina:1aeee193-2a31-520b-a0dc-673d59b907ea",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006127.lean\",\"ee25714dc6b12fda205f5dddd5f3438c6b24ae50bd18215666537dea6b1297f0\",0,\"algebra_609775\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006128.lean\",\"50ea98c73e30d8606d6229141e11d4545b3ea18bca2956c9f042efe00906f052\",0,\"number_theory_183299\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006129.lean\",\"db652f6533ebce90dab934720c9e3d8824e2f0d9025c478f57f63bb90be14d4b\",0,\"number_theory_188980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 546423,
+      "path": "data/train/p52/numina-001225-0000-f16d95bf7ccf12a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "f16d95bf7ccf12a6dc7a7be797bc8c9fe3fa34e8352eaa138955ad931a089f4d"
+    },
+    {
+      "bytes": 184223,
+      "path": "data/train/p52/numina-001225-0001-68657c5f30df711d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "68657c5f30df711dbbd7443c7eadd6b6214fa67c25e36a4ce3923c03d5301efe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001226.json b/manifests/batches/numina/001226.json
index c08912b52643479cb96b747e85978371b791b830..7ab8036f228cfe99b61b3cfeba1ab9ce0295a852 100644
--- a/manifests/batches/numina/001226.json
+++ b/manifests/batches/numina/001226.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001226",
   "batch_fingerprint": "b713b07211981f4ed7f138437a25d44c52ef2c4be2d57f604ca2e2906afd942e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001226-0000-4e364578ed0fe7a3.parquet",
-      "sha256": "4e364578ed0fe7a325c6d270e67ef25253f13b25f27545214d4ea48c2b0c1f36",
-      "bytes": 669608,
-      "rows": 43,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001226-0001-b20f8f6147fe6af6.parquet",
-      "sha256": "b20f8f6147fe6af6d209860850dc08be483fb06354da6b2e1b13e8236f5fea7e",
-      "bytes": 700311,
-      "rows": 8,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01c84475-fb21-5616-abc4-57d35afac127",
     "numina:22790e68-d6a6-549c-8029-968a615e525b",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006132.lean\",\"b6643cc79fecb5de55897610da006b8dea86d793b242b32f455d7ebaaa58d2a3\",3,\"algebra_225635\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006133.lean\",\"385197e88f533aa083197d964de9b160c8e97514e66c1362b11a5a9795a43bf4\",0,\"number_theory_607418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006134.lean\",\"98eb4ff66dd8172f0f6d39c4c26184b5d8bf6227c0d340caf76951120ff32ae2\",0,\"number_theory_93319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 669608,
+      "path": "data/train/p47/numina-001226-0000-4e364578ed0fe7a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "4e364578ed0fe7a325c6d270e67ef25253f13b25f27545214d4ea48c2b0c1f36"
+    },
+    {
+      "bytes": 700311,
+      "path": "data/train/p47/numina-001226-0001-b20f8f6147fe6af6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b20f8f6147fe6af6d209860850dc08be483fb06354da6b2e1b13e8236f5fea7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001227.json b/manifests/batches/numina/001227.json
index 9ff968f0e19ad23a70f74cf21d785ba3097757de..c8244f950564767353427b0cdf4da01e88e9205f 100644
--- a/manifests/batches/numina/001227.json
+++ b/manifests/batches/numina/001227.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001227",
   "batch_fingerprint": "f66e811c25159446e93a4d8eb1d54a4bfd440d9983b408ccb1512dbfff5bc837",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001227-0000-6171ac12d93c22f6.parquet",
-      "sha256": "6171ac12d93c22f6c6bc3373529bed43e17efc51d24fee288c4e45d0cd094835",
-      "bytes": 707774,
-      "rows": 34,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    },
-    {
-      "path": "data/train/numina-001227-0001-0d5906c516c39f48.parquet",
-      "sha256": "0d5906c516c39f48f44698822d9bb2619185673117bbe9b3b19a7ed228615ccb",
-      "bytes": 300149,
-      "rows": 31,
-      "revision": "4807a1ecec7ea853e6fdc397a6e3d12fce5a3821"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0470fbfe-ec01-5047-b0c6-f55d98ba8648",
     "numina:31f6864c-afe5-5b88-a3f2-cc06843e9ae6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006137.lean\",\"cff6df7b870e120aa6902520fcc05933c0515e140faeeb232f5e1ed1a1358e78\",0,\"number_theory_189489\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006138.lean\",\"6917b677e29a19a441315a705039191ddb10451bd48f4be457b277facb440fd5\",0,\"calculus_185933\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006139.lean\",\"9b1d144c499d41a2f77e4f05b241f8b3628dbad86af147079f2909636af01b6c\",0,\"algebra_192689\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707774,
+      "path": "data/train/pbb/numina-001227-0000-6171ac12d93c22f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "6171ac12d93c22f6c6bc3373529bed43e17efc51d24fee288c4e45d0cd094835"
+    },
+    {
+      "bytes": 300149,
+      "path": "data/train/pbb/numina-001227-0001-0d5906c516c39f48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "0d5906c516c39f48f44698822d9bb2619185673117bbe9b3b19a7ed228615ccb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001228.json b/manifests/batches/numina/001228.json
index 09a08c43809e791f9c793e9f24ba24aaa4bb1f7e..423b61b50ed4c239a1e4013854ae3c33a6e26dd9 100644
--- a/manifests/batches/numina/001228.json
+++ b/manifests/batches/numina/001228.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001228",
   "batch_fingerprint": "b76b20d91bac468f0f8cbdb96643d0ca78cd79f76be838282f225972324797a7",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001228-0000-11ea6e1e9c234ef2.parquet",
-      "sha256": "11ea6e1e9c234ef2ebddae0befc2f08b5638198cf31c65325d4c78a3f068b26a",
-      "bytes": 616361,
-      "rows": 31,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/train/numina-001228-0001-95b164399a6daf6c.parquet",
-      "sha256": "95b164399a6daf6c6615539ab89ced8356e96a862a51ab22c2e7d1ccb6acd563",
-      "bytes": 828503,
-      "rows": 34,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/train/numina-001228-0002-0c04b7634884fb32.parquet",
-      "sha256": "0c04b7634884fb32710a291674ea9468402a2d44f2e1d89d0a81ce39fc123cc8",
-      "bytes": 169960,
-      "rows": 19,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:52a2df19-7968-5bd1-9941-147ec11e00a5",
     "numina:a60fd8a9-60fd-534e-87ca-135dd46ee4b6",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006142.lean\",\"09db49f5b6e91b508ed3206b42dea7b3167273d883f7a48df32e8fc325007119\",0,\"algebra_95523\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006143.lean\",\"ab84bfec38aa36de443810a663adf2328b29089707fb3be521aa666f42f636e5\",1,\"algebra_209116\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006144.lean\",\"908be09b2f28b253e6e08b0fc7347d40deef3439a7e3176349c57a2d5e7afd15\",0,\"algebra_610388\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 616361,
+      "path": "data/train/pb0/numina-001228-0000-11ea6e1e9c234ef2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "11ea6e1e9c234ef2ebddae0befc2f08b5638198cf31c65325d4c78a3f068b26a"
+    },
+    {
+      "bytes": 828503,
+      "path": "data/train/pb0/numina-001228-0001-95b164399a6daf6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "95b164399a6daf6c6615539ab89ced8356e96a862a51ab22c2e7d1ccb6acd563"
+    },
+    {
+      "bytes": 169960,
+      "path": "data/train/pb0/numina-001228-0002-0c04b7634884fb32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0c04b7634884fb32710a291674ea9468402a2d44f2e1d89d0a81ce39fc123cc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001229.json b/manifests/batches/numina/001229.json
index e63c55c5021187124b8e11877496297de4d4a164..741adc0aeb11e9118b9c3d06a29fbef537d0f814 100644
--- a/manifests/batches/numina/001229.json
+++ b/manifests/batches/numina/001229.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001229",
   "batch_fingerprint": "03d362fe8689b71becef319f123dcbb91bc9eae9c149e3c28c96d0cb20244a5e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001229-0000-c705dc2b59512012.parquet",
-      "sha256": "c705dc2b5951201238c264f53f0aa3db27a81595df5ccfdfbcf00a491fbfb013",
-      "bytes": 362640,
-      "rows": 16,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/numina-001229-0000-46d9cf4171d740b4.parquet",
-      "sha256": "46d9cf4171d740b4db855ebea5b4eca44a7610c6cbe73ab116a64e3271328f39",
-      "bytes": 90428,
-      "rows": 5,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/internal_test/numina-001229-0000-86a8c2f4fb4562bf.parquet",
-      "sha256": "86a8c2f4fb4562bf8ebf8ab8a78d3f35ab650bda4637ffe0292de13d31d6b433",
-      "bytes": 114750,
-      "rows": 5,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1863dac1-7bf4-5e2a-babf-a307eec80077",
     "numina:2790972b-9c66-59ec-9cdb-21a5f2ec8686",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006147.lean\",\"7adabbcc263d5048d00c98493f7ac02b72c9a4c7251125f38851c41fb6a46c27\",0,\"number_theory_609671\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006148.lean\",\"47367587fafebafc65656e80c5c89a0479273905c63ef1c8e028d950d3790872\",0,\"number_theory_189331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006149.lean\",\"88cc024f005ebd06d7108d12d2a208a544024eb766a1d9969b41c72cd1057847\",0,\"algebra_190032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362640,
+      "path": "data/train/pc8/numina-001229-0000-c705dc2b59512012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c705dc2b5951201238c264f53f0aa3db27a81595df5ccfdfbcf00a491fbfb013"
+    },
+    {
+      "bytes": 90428,
+      "path": "data/dev/pc8/numina-001229-0000-46d9cf4171d740b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "46d9cf4171d740b4db855ebea5b4eca44a7610c6cbe73ab116a64e3271328f39"
+    },
+    {
+      "bytes": 114750,
+      "path": "data/internal_test/pc8/numina-001229-0000-86a8c2f4fb4562bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "86a8c2f4fb4562bf8ebf8ab8a78d3f35ab650bda4637ffe0292de13d31d6b433"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001230.json b/manifests/batches/numina/001230.json
index f2781fb681ef9a616670c2c9dc27854d1e3312f9..9f79fdf8166ab0851362a0878c7d1c3ce035f7b7 100644
--- a/manifests/batches/numina/001230.json
+++ b/manifests/batches/numina/001230.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001230",
   "batch_fingerprint": "2825ecaea68a3b1b6f36f7eb08eda0f22a4ebbe9573bc3b7f6ee1dac2097d835",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001230-0000-fc6bc64d85b88125.parquet",
-      "sha256": "fc6bc64d85b88125c639e44dbb9e46a80829e5a16e7b6b5f84dc01e883adffe1",
-      "bytes": 477469,
-      "rows": 34,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04f00bb0-c6b8-5d71-9361-13e15b39101f",
     "numina:4204011e-31a0-592d-ad4a-84e9af033d83",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006152.lean\",\"afc8ea24bdd0c61ea3ad5d0342b4c68866af646e5f37cf0d1bef81044e466ce8\",0,\"algebra_117845\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006153.lean\",\"bafcd71e09dc8485710b1784c45a4a49cbe9b3a2b518e3681fea999deb8d5fc3\",2,\"algebra_118790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006154.lean\",\"5b80f160ddbaec37ee7a5abb13853ab89254f7d0460fea44501986eaffefb721\",1,\"algebra_194040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 477469,
+      "path": "data/train/pbb/numina-001230-0000-fc6bc64d85b88125.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "fc6bc64d85b88125c639e44dbb9e46a80829e5a16e7b6b5f84dc01e883adffe1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001231.json b/manifests/batches/numina/001231.json
index 9bd7d83abc9947fa8ddef92fca208a65a4ec899c..3f401a59c74c4327bf631f9db687b726d0fbc433 100644
--- a/manifests/batches/numina/001231.json
+++ b/manifests/batches/numina/001231.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001231",
   "batch_fingerprint": "7ddc566cf5dae5dc08488a5f8b0901abdfa432d8bf3f62c397aff96fa99a0b34",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001231-0000-6b0224db5fc75099.parquet",
-      "sha256": "6b0224db5fc7509906f78176eb6dde5a2cbf35f2b94e7027fefe47037d4a6d25",
-      "bytes": 688837,
-      "rows": 43,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/numina-001231-0000-bf565e946072c030.parquet",
-      "sha256": "bf565e946072c0305e8bca1627d09605ef2f9652fc8146605a87ac776d5c47f1",
-      "bytes": 64131,
-      "rows": 9,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03a1c8d7-e7a3-5673-aee0-5344470d12cf",
     "numina:16c093b1-9964-5d22-82fc-d5c9ab957d5e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006157.lean\",\"0e47ab1fa8d3ae17e354324e239dd2e0d6f56eda555aa0afc428279703c813ae\",0,\"number_theory_104494\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006158.lean\",\"acfece0479bf988d8ab11aa59ee2670aeafa81d3f9922b14846d11147c601880\",0,\"number_theory_191949\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006159.lean\",\"0bb722fe2ccf2068f77175e3fcaca52ced20963f1622ce49485abc3e4fa4e0f6\",0,\"number_theory_195366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 688837,
+      "path": "data/train/p80/numina-001231-0000-6b0224db5fc75099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "6b0224db5fc7509906f78176eb6dde5a2cbf35f2b94e7027fefe47037d4a6d25"
+    },
+    {
+      "bytes": 64131,
+      "path": "data/dev/p80/numina-001231-0000-bf565e946072c030.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bf565e946072c0305e8bca1627d09605ef2f9652fc8146605a87ac776d5c47f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001232.json b/manifests/batches/numina/001232.json
index c8cee767b19bb20d96981cfb7c01fb7dbee3ae7f..910ae0892b6b2fe2f9e7aacd4eeaf8e6b1871fc2 100644
--- a/manifests/batches/numina/001232.json
+++ b/manifests/batches/numina/001232.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001232",
   "batch_fingerprint": "e814cb34653843e2396f6a85cc25bb508b6624730332ff658424b9d674a1ace8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001232-0000-3cdc786890e9f5b5.parquet",
-      "sha256": "3cdc786890e9f5b5c826bfe3ced0fb7dee88e5a6e9f460cda93d65545deef170",
-      "bytes": 712086,
-      "rows": 101,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/train/numina-001232-0001-1886aa320500e294.parquet",
-      "sha256": "1886aa320500e294ebd0082013632447526942f0229e88f299efaa1e5f7bcf94",
-      "bytes": 1570128,
-      "rows": 14,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    },
-    {
-      "path": "data/train/numina-001232-0002-c51c0e221f1bcb41.parquet",
-      "sha256": "c51c0e221f1bcb4143007bc820ebb92bdb7c1423f8fe30ae68f4db107906eb27",
-      "bytes": 622094,
-      "rows": 5,
-      "revision": "bf0adaa46d21d09733e0ec12b6aac986fd6700eb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13021f9e-0aab-5e23-be8f-47413e4681a8",
     "numina:74c0c266-96ea-5d45-8bd3-9de9966f0664",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006162.lean\",\"a64ef80c7c3dbadbd5277897581f8f80fe2b29f0a2eded0574886f35f5045611\",0,\"algebra_193567\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006163.lean\",\"be7632f672da2de2b492ef5d97b5c5e1a6b7f887fe3cd7c52af9c8f1142c9259\",0,\"algebra_192354\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006164.lean\",\"58fd2f92febe8b710cd0751c1da68527b32b5683bedf03b3ed7de98bcce6d54b\",0,\"algebra_608141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 712086,
+      "path": "data/train/p4a/numina-001232-0000-3cdc786890e9f5b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "3cdc786890e9f5b5c826bfe3ced0fb7dee88e5a6e9f460cda93d65545deef170"
+    },
+    {
+      "bytes": 1570128,
+      "path": "data/train/p4a/numina-001232-0001-1886aa320500e294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1886aa320500e294ebd0082013632447526942f0229e88f299efaa1e5f7bcf94"
+    },
+    {
+      "bytes": 622094,
+      "path": "data/train/p4a/numina-001232-0002-c51c0e221f1bcb41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c51c0e221f1bcb4143007bc820ebb92bdb7c1423f8fe30ae68f4db107906eb27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001233.json b/manifests/batches/numina/001233.json
index a58aa5fdb8eb482e26fe6cef39bc0db9f41b4688..701223600b35e7574848bc19e1d063173ca5d3d6 100644
--- a/manifests/batches/numina/001233.json
+++ b/manifests/batches/numina/001233.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001233",
   "batch_fingerprint": "3a5dc33431f966c910d7330f6ee73c3f7e8fe10e26b4db17a403741859a27ed8",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001233-0000-515dce694fae7a35.parquet",
-      "sha256": "515dce694fae7a352f4b9b313cfc729c39702a713edd6e49dd83b918eb5ff0cd",
-      "bytes": 1095187,
-      "rows": 23,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/train/numina-001233-0001-598e6d235fce2872.parquet",
-      "sha256": "598e6d235fce2872d54fda36496f3b24bc570f5d940b2760bc7844f6e713d61d",
-      "bytes": 49808,
-      "rows": 1,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    },
-    {
-      "path": "data/dev/numina-001233-0000-909b57746f0cf8fa.parquet",
-      "sha256": "909b57746f0cf8fa3edbde314c36a3e983f0ff963f3fce586cbc5e4c43641069",
-      "bytes": 51911,
-      "rows": 9,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:130544de-73e3-5b37-87fd-ecaf3bfa2eb6",
     "numina:2f9227b7-669d-5273-9fe9-4be6be0115a2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006167.lean\",\"1f929101d7215e40151a404d2d66817f37fd6ccf2cd21b7582bea38ba854a7c9\",0,\"algebra_614026\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006168.lean\",\"42518025ca321a571c3c9a3f7738fce7b11e26871f753090f57965ca09f8c641\",0,\"algebra_206520\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006169.lean\",\"e39678ca5ffc8fafe1e34e6b0d6b6c8c02a93158cbaea2233c0b9e1d929bb8ea\",0,\"algebra_95549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1095187,
+      "path": "data/train/pa1/numina-001233-0000-515dce694fae7a35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "515dce694fae7a352f4b9b313cfc729c39702a713edd6e49dd83b918eb5ff0cd"
+    },
+    {
+      "bytes": 49808,
+      "path": "data/train/pa1/numina-001233-0001-598e6d235fce2872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "598e6d235fce2872d54fda36496f3b24bc570f5d940b2760bc7844f6e713d61d"
+    },
+    {
+      "bytes": 51911,
+      "path": "data/dev/pa1/numina-001233-0000-909b57746f0cf8fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "909b57746f0cf8fa3edbde314c36a3e983f0ff963f3fce586cbc5e4c43641069"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001234.json b/manifests/batches/numina/001234.json
index 6d046a4d0e8baf61027e6bbb5430c3bdf2f72146..3c751e42de91ff783e450ff368a8d47eac3085e7 100644
--- a/manifests/batches/numina/001234.json
+++ b/manifests/batches/numina/001234.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001234",
   "batch_fingerprint": "689e9a334cd259a46d09a748a004f1c7390046024bd809348bda292e2219c1bd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001234-0000-b8a0cd5e34f51f83.parquet",
-      "sha256": "b8a0cd5e34f51f835ec5218323bf79f1e3a983bd3aab7b3ff1a9a3db08369cf6",
-      "bytes": 497212,
-      "rows": 34,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5171d1ad-d080-545d-b15b-90e88f57276d",
     "numina:6a987fa4-e62c-5001-a6ba-51d31728086f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006172.lean\",\"59eaf4c432d937374e205733c5a79f62e855bcef54efa0ae4359b35e3d0dd7e7\",0,\"algebra_94239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006173.lean\",\"91ca4e9446a546afa27f8310bcaac40a872e06155f15b114ba8e440431f3fcc2\",0,\"number_theory_192221\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006174.lean\",\"26c68695ba8dbfac9a623b88cf05271417c802bb351e73bd22e59a5a05d5d672\",0,\"number_theory_94240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497212,
+      "path": "data/train/p85/numina-001234-0000-b8a0cd5e34f51f83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "b8a0cd5e34f51f835ec5218323bf79f1e3a983bd3aab7b3ff1a9a3db08369cf6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001235.json b/manifests/batches/numina/001235.json
index fec7ab04fb928324c02dd4a6053c6c7e56d42b78..68ba6c28cc15aab74b3d9800a8f5c65bce8be80d 100644
--- a/manifests/batches/numina/001235.json
+++ b/manifests/batches/numina/001235.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001235",
   "batch_fingerprint": "d55acfd79634198bf47aea9d9b317d68134d8bd3819f58b7f2298ec8132c68ee",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001235-0000-d64dd0225da2bf18.parquet",
-      "sha256": "d64dd0225da2bf18800c5aeb37467a9d6dd619d83cf69956bf7b6dbcdc2723c1",
-      "bytes": 86871,
-      "rows": 12,
-      "revision": "e48eff075563e9f6722c6a1182710eb9af0059a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ae64c30-32c1-5d85-98ca-e586f0af56e0",
     "numina:757dd1b8-4be6-5a35-8422-69b34594d617",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006176.lean\",\"0b33426a65d8bccc63bc1618527319eaaac2ea89a891248ee7b11d1ec0174bcb\",0,\"number_theory_608919\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006177.lean\",\"42114dbcfcf53fe9a09611f6b60fc8773ea27b458d090cde091cf62ffd96e8ae\",0,\"inequalities_202399\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006178.lean\",\"231933140ae7f69436650db14c8be7ef0c22c7aa4ef0ad6d1ba6e7a4fcc771b5\",0,\"number_theory_608399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86871,
+      "path": "data/train/p51/numina-001235-0000-d64dd0225da2bf18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d64dd0225da2bf18800c5aeb37467a9d6dd619d83cf69956bf7b6dbcdc2723c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001236.json b/manifests/batches/numina/001236.json
index 3a6d2e6d6df9366004b3764f84655e74a1506378..acbaab2810d2ea13eaac5b33b47a33bef7fbd379 100644
--- a/manifests/batches/numina/001236.json
+++ b/manifests/batches/numina/001236.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001236",
   "batch_fingerprint": "9d535ae44ab28b6775ee3235577ab46f1152141ba4f8b15c69f034e1aa4c9ffa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001236-0000-1bf08f34549bc8e0.parquet",
-      "sha256": "1bf08f34549bc8e0da0746bfe51c1eb94b6acb23d2ea4e8232081c56ebed070b",
-      "bytes": 662770,
-      "rows": 47,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/train/numina-001236-0001-868977e4796e515a.parquet",
-      "sha256": "868977e4796e515a4c2fe480bb129bab75f5cf2df09c3c0fedb2f8e9ba2b81d5",
-      "bytes": 349746,
-      "rows": 26,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51b81f45-b45c-5bd3-b0e1-b0d807b14ba0",
     "numina:700cf4ae-a1fe-59f5-86a7-dbb2684ce809",
@@ -48,5 +32,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006184.lean\",\"fb2d4ebfdd3b33e9a88b1ef41ae60f2c6c2a8a74447651d53cd303359db74d33\",0,\"number_theory_94964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662770,
+      "path": "data/train/p0c/numina-001236-0000-1bf08f34549bc8e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "1bf08f34549bc8e0da0746bfe51c1eb94b6acb23d2ea4e8232081c56ebed070b"
+    },
+    {
+      "bytes": 349746,
+      "path": "data/train/p0c/numina-001236-0001-868977e4796e515a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "868977e4796e515a4c2fe480bb129bab75f5cf2df09c3c0fedb2f8e9ba2b81d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001237.json b/manifests/batches/numina/001237.json
index 913988c0196d4a9aff71af3bbd2a015017ab71db..bbf4589520791435417228456d2def32c9e09277 100644
--- a/manifests/batches/numina/001237.json
+++ b/manifests/batches/numina/001237.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001237",
   "batch_fingerprint": "d1021ec191fa94fde8152062f0d0275a09c8e03cd61e6e3ecd6ed2d0b7b0113e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001237-0000-9624e2bbe69f39e6.parquet",
-      "sha256": "9624e2bbe69f39e64d692542967b19c6be65438cfa3ad9bdf20ea9b1fdc62a91",
-      "bytes": 748319,
-      "rows": 73,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/train/numina-001237-0001-047021e5daac7fa4.parquet",
-      "sha256": "047021e5daac7fa4b8d640bd1e38871602a38ca0535d7fc2e03ff289a2f6e002",
-      "bytes": 269594,
-      "rows": 2,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12d6d0d6-4163-584c-814a-d54025d85fcc",
     "numina:20eb0d3c-594c-5341-b289-38937eb55168",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006187.lean\",\"3afe53e0f0ba54537c0cc91d6dfcc3c82164fb18e21e16b0a8fdc6c2e2d4e4b1\",0,\"algebra_221530\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006188.lean\",\"13e742fe236f45eb356b982473a951d107f5ea7a75ec4681c6c9c2bae7d83ddd\",2,\"number_theory_609064\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006189.lean\",\"8f36719b2485c05777b1e4d9497a57f0a7e222c782c20f84d1789648070ca274\",0,\"algebra_208659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 748319,
+      "path": "data/train/p88/numina-001237-0000-9624e2bbe69f39e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "9624e2bbe69f39e64d692542967b19c6be65438cfa3ad9bdf20ea9b1fdc62a91"
+    },
+    {
+      "bytes": 269594,
+      "path": "data/train/p88/numina-001237-0001-047021e5daac7fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "047021e5daac7fa4b8d640bd1e38871602a38ca0535d7fc2e03ff289a2f6e002"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001238.json b/manifests/batches/numina/001238.json
index 797bdfc339438234df22f01b9a90f0c7370e2ff6..f45fd72fa925b2bfbffcdb0f5a143cbdea777011 100644
--- a/manifests/batches/numina/001238.json
+++ b/manifests/batches/numina/001238.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001238",
   "batch_fingerprint": "d23807a460b561883590c4ed7bc5c8ceeada2721a74b360f95bb3dc854b6f754",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001238-0000-4047d5825a0e185b.parquet",
-      "sha256": "4047d5825a0e185b8019e3f7a092118f54cd6f1c9c17bc86874d0bf55ef2fc9b",
-      "bytes": 525101,
-      "rows": 16,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    },
-    {
-      "path": "data/internal_test/numina-001238-0000-9fa79b804ffdaac6.parquet",
-      "sha256": "9fa79b804ffdaac6fcf35592866fbf423d574329f6bbaad571cc04464eed7598",
-      "bytes": 61628,
-      "rows": 9,
-      "revision": "03bde7f2d1ad989476e75d92008e2f729cf4919a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:047a9beb-1ba2-5366-812d-cb97f957d1b1",
     "numina:2b197e47-cba8-5d38-a0f0-ca7b84f157bf",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006192.lean\",\"261e3340e0ba168d4ec9d496f832e40ff7906b775017db391eb4d0fa95bc265f\",0,\"algebra_94108\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006193.lean\",\"f03086c04998c094a8e887e5bdee05d9e678d6eb2017864f96e6f6ecd7c2c2dc\",0,\"number_theory_200348\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006194.lean\",\"31061edb3c536f85588e88dc3e0e0ffb8983a608437223c564e2c22aa3e54409\",0,\"algebra_1120\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525101,
+      "path": "data/train/p22/numina-001238-0000-4047d5825a0e185b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4047d5825a0e185b8019e3f7a092118f54cd6f1c9c17bc86874d0bf55ef2fc9b"
+    },
+    {
+      "bytes": 61628,
+      "path": "data/internal_test/p22/numina-001238-0000-9fa79b804ffdaac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9fa79b804ffdaac6fcf35592866fbf423d574329f6bbaad571cc04464eed7598"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001239.json b/manifests/batches/numina/001239.json
index af2f5fde181a71b8ad2f89aacbb660c92ce4bd78..79b7a3bf47a2f8a3a69ff4488f9486bd7fca3dda 100644
--- a/manifests/batches/numina/001239.json
+++ b/manifests/batches/numina/001239.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001239",
   "batch_fingerprint": "34979b5791ecd904fc4ccc1ad896968720223b599fdde6985796c8db8a9b15be",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001239-0000-6327d99823417640.parquet",
-      "sha256": "6327d9982341764076f2fb9e02613ea66570a80d281cd687e8f219f9e009b1e3",
-      "bytes": 317321,
-      "rows": 15,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/train/numina-001239-0001-3c2b737d9b23a3d7.parquet",
-      "sha256": "3c2b737d9b23a3d78ae396b7549d62c66f82dba645fad96378c2a3f644db9a95",
-      "bytes": 858270,
-      "rows": 31,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/train/numina-001239-0002-39c00410a380644a.parquet",
-      "sha256": "39c00410a380644aa4633a25afa90654892c8b776e8afbc4a798600d675d3a02",
-      "bytes": 39122,
-      "rows": 5,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:009272b1-5456-54ea-a235-089576da90a3",
     "numina:2656d90e-75b7-5c08-b4ee-c4425618128d",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006197.lean\",\"992422abd69bfa2e432a7539a1dcc6f798aa5dc5c25268b36dece873fd7a7e7c\",1,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006198.lean\",\"62be4bed97a484901f5e0c0779426a5e61a189adc8c053e41245334f5d3379dd\",0,\"number_theory_198767\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006199.lean\",\"4ec3ce63d9abd2f2f4b3307ec83220c396611b03b9ae90a4833a95c0e9de9bd4\",3,\"algebra_146095\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317321,
+      "path": "data/train/p4a/numina-001239-0000-6327d99823417640.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6327d9982341764076f2fb9e02613ea66570a80d281cd687e8f219f9e009b1e3"
+    },
+    {
+      "bytes": 858270,
+      "path": "data/train/p4a/numina-001239-0001-3c2b737d9b23a3d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "3c2b737d9b23a3d78ae396b7549d62c66f82dba645fad96378c2a3f644db9a95"
+    },
+    {
+      "bytes": 39122,
+      "path": "data/train/p4a/numina-001239-0002-39c00410a380644a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "39c00410a380644aa4633a25afa90654892c8b776e8afbc4a798600d675d3a02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001240.json b/manifests/batches/numina/001240.json
index b26912e4959f77626bd8bbd1120b4d09e366a3bf..38702c5e905f2eaf90f36d40025ad23a0d0acbc1 100644
--- a/manifests/batches/numina/001240.json
+++ b/manifests/batches/numina/001240.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001240",
   "batch_fingerprint": "5ab673d07f41d1ce28156199c6038e4e37f13ab74706e47d46518e2ace215c7b",
   "evidence": {
@@ -56,15 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001240-0000-89b8d1a47f49b68c.parquet",
-      "sha256": "89b8d1a47f49b68c436d81d1b8ab6e395c129361f8f89fc02cb5130e9e633df0",
-      "bytes": 259721,
-      "rows": 23,
-      "revision": "952b63dc0ed58d761951b9547fbbd68d949310ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2fd51b4c-dd71-5160-ae11-62ff652009d7",
     "numina:5c3c855f-03a0-5003-b8d3-d18b80e91c38",
@@ -74,5 +65,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006201.lean\",\"fdecd708f367bcf712f6e921a69df3fa2331f5070652027f14b81e6eadb448c7\",0,\"algebra_93692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006202.lean\",\"b023dd1bfbb97e088ec03974813e776cd57d1bfdee5a8d221431a64611ed7240\",1,\"algebra_625819\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006204.lean\",\"7f9d3f381063a9670e257c79a5352bf762397f87b9d608b8763c2209a7229718\",0,\"number_theory_93724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259721,
+      "path": "data/train/p2b/numina-001240-0000-89b8d1a47f49b68c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "89b8d1a47f49b68c436d81d1b8ab6e395c129361f8f89fc02cb5130e9e633df0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001241.json b/manifests/batches/numina/001241.json
index 2522e3cb9701053756a5dc4f9c7f0e76796417ac..afca6b7c9f6d9c8ca42a87b319bd5bbd7040e19a 100644
--- a/manifests/batches/numina/001241.json
+++ b/manifests/batches/numina/001241.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001241",
   "batch_fingerprint": "d2b223a61605b8cbd15ef038eca5b04d9d680508badec517de1bc7e4ea475a94",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001241-0000-df4143dfde0ec70d.parquet",
-      "sha256": "df4143dfde0ec70db6affcf629976b68136c7db73736d145caa4bae6ee93ee7f",
-      "bytes": 451678,
-      "rows": 32,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/numina-001241-0000-8980b6384735bf71.parquet",
-      "sha256": "8980b6384735bf7121b5e2b6242e2df6bd4f698ff90ad7dbe568059e8e93947a",
-      "bytes": 153271,
-      "rows": 5,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71b041d4-2307-5b21-af19-da86dc461fb4",
     "numina:88cc0b75-ac74-50ef-ae78-55f35146945c",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006207.lean\",\"58d04c124ed68fe3b22de2723d4e9f1e5e10fc6f30ef8b45a8ba755fe7f0edbb\",0,\"number_theory_257309\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006208.lean\",\"fc04fee7eec6bf9fc2e9e70b322a78c403bfc38fafba3d82c1af9c043ffd9b71\",0,\"number_theory_609359\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006209.lean\",\"c8c80b35220cf84ab5f5430b7000643c351754d88e28debef98f32670a0b16d6\",0,\"algebra_93893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 451678,
+      "path": "data/train/p76/numina-001241-0000-df4143dfde0ec70d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "df4143dfde0ec70db6affcf629976b68136c7db73736d145caa4bae6ee93ee7f"
+    },
+    {
+      "bytes": 153271,
+      "path": "data/internal_test/p76/numina-001241-0000-8980b6384735bf71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8980b6384735bf7121b5e2b6242e2df6bd4f698ff90ad7dbe568059e8e93947a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001242.json b/manifests/batches/numina/001242.json
index 866b39b7b7bb1cd3faa45905b5102cee503c62c9..676da02f983502f629eb71390851690b03c30a22 100644
--- a/manifests/batches/numina/001242.json
+++ b/manifests/batches/numina/001242.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001242",
   "batch_fingerprint": "94d39d00fad6caa8e4dfda5ee74a4a1dbd87c84567cba9a58c75f2d3cf1e436a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001242-0000-4f7a55511ee80251.parquet",
-      "sha256": "4f7a55511ee80251325dc4aba0ecb70898afe1547f9af5089571478483e40ec7",
-      "bytes": 400417,
-      "rows": 28,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    },
-    {
-      "path": "data/train/numina-001242-0001-e8cc00885978bdde.parquet",
-      "sha256": "e8cc00885978bddec3b0c0aaf873d1eed6414f50ae79e7a7829a13770f2db31f",
-      "bytes": 301965,
-      "rows": 20,
-      "revision": "40352b5aa8435562c0f38e2a5cf5fe8c1251fec8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14bd707b-57e8-52bf-b964-81ec1e7aac2f",
     "numina:9f0d7c77-1db8-5082-a716-3bf9d7da7a21",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006212.lean\",\"11792493bedf53e32528bae7fd7567fa724d36f702883990f8e00135eb19a13a\",0,\"number_theory_98609\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006213.lean\",\"cb19658e2c391873025fe6057c7b08b51281bdacaa4a9aafaa8fb0f8797f8b20\",0,\"number_theory_204360\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006214.lean\",\"81c8d8a3166f9ed5ada4b83880d548219c8c3ff02996ebf7824fc7c92f73d96c\",0,\"geometry_97257\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 400417,
+      "path": "data/train/peb/numina-001242-0000-4f7a55511ee80251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4f7a55511ee80251325dc4aba0ecb70898afe1547f9af5089571478483e40ec7"
+    },
+    {
+      "bytes": 301965,
+      "path": "data/train/peb/numina-001242-0001-e8cc00885978bdde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e8cc00885978bddec3b0c0aaf873d1eed6414f50ae79e7a7829a13770f2db31f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001243.json b/manifests/batches/numina/001243.json
index 3132f005300fa17cba0ec65500ba783a67a8b226..a2764a1451dd8d5e10e7806a6a3a3a24448eabb7 100644
--- a/manifests/batches/numina/001243.json
+++ b/manifests/batches/numina/001243.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001243",
   "batch_fingerprint": "d203c18263f7138bd0d49cb9f3f5a2c047c801cd9cef2e33c069f83b8e1c39b6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001243-0000-a40ee32666052724.parquet",
-      "sha256": "a40ee32666052724e0d457d9c9c8f21682803d21a2ea9b83adc40c18ab850070",
-      "bytes": 307663,
-      "rows": 40,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/dev/numina-001243-0000-7da768812ffb8a78.parquet",
-      "sha256": "7da768812ffb8a78270c1c5bd6bc559aa9db0fce405939a71f958fdd066b009b",
-      "bytes": 76779,
-      "rows": 7,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51a6807f-f2b4-5de5-a7a3-9ec7f588aabb",
     "numina:8956508b-8400-5730-accf-5174a3e40cd0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006217.lean\",\"c22f4fcb2b0f07ffdc4114497702b0ba8f0530b5d39a63c14c5bd84cc1ad2efa\",0,\"N3\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006218.lean\",\"5bc53227561045a3c6d33245f61393508a82ccd9f921de7a98d0f7ae35eb46dc\",0,\"number_theory_25181\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006219.lean\",\"9c168a1cb453ef9b9c8636c55c394f09675d272d1a859453b831508d5de016a1\",0,\"algebra_252844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307663,
+      "path": "data/train/pdd/numina-001243-0000-a40ee32666052724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "a40ee32666052724e0d457d9c9c8f21682803d21a2ea9b83adc40c18ab850070"
+    },
+    {
+      "bytes": 76779,
+      "path": "data/dev/pdd/numina-001243-0000-7da768812ffb8a78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7da768812ffb8a78270c1c5bd6bc559aa9db0fce405939a71f958fdd066b009b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001244.json b/manifests/batches/numina/001244.json
index b1549e2368df89f206a234ea4cfc6b53e548469c..509f146828b9f7d16e3a7f9a228c48d7bf4a97cc 100644
--- a/manifests/batches/numina/001244.json
+++ b/manifests/batches/numina/001244.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001244",
   "batch_fingerprint": "f4b685d5dc30aac09088fdd6e0c25265842ebedca779e38f9e320f4306a251d2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001244-0000-c8d2c7c1395875b6.parquet",
-      "sha256": "c8d2c7c1395875b6f8db84231411b32dd70b301a12ba03d004b5a7174faef8d0",
-      "bytes": 428457,
-      "rows": 46,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    },
-    {
-      "path": "data/internal_test/numina-001244-0000-91911c92d5e80835.parquet",
-      "sha256": "91911c92d5e80835f8a9f834aced1a6f0a9f6a55fa57e1a3d2b06d86c2eb429d",
-      "bytes": 189180,
-      "rows": 11,
-      "revision": "1043e1922d6d27077febfb6cb8e203e391cbaefa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b847ef0-4284-5f59-aa7f-a7be7ea1d200",
     "numina:2e7b813b-cf2b-544d-90fd-6a632b310bdc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006222.lean\",\"2b3f35b705a0806872d2c4a2b47bd45831c2e0a759a9c1cb9226092909feb287\",0,\"algebra_10581\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006223.lean\",\"a6c9c26cbfb84666e4a6fa56cc25b361dde7131108f8da3c1022d04ff23e6112\",0,\"algebra_272908\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006224.lean\",\"f4950aaa5f8621e371c926741af9390fbaa7382cceccb16e787c278985489f7e\",0,\"other_272937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428457,
+      "path": "data/train/p7c/numina-001244-0000-c8d2c7c1395875b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "c8d2c7c1395875b6f8db84231411b32dd70b301a12ba03d004b5a7174faef8d0"
+    },
+    {
+      "bytes": 189180,
+      "path": "data/internal_test/p7c/numina-001244-0000-91911c92d5e80835.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "91911c92d5e80835f8a9f834aced1a6f0a9f6a55fa57e1a3d2b06d86c2eb429d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001245.json b/manifests/batches/numina/001245.json
index e7e266b2fe29a6ce5c21a55589ea7a5eb6827d90..9ae7350b62d59adb37f4222cb354375a1c269bd6 100644
--- a/manifests/batches/numina/001245.json
+++ b/manifests/batches/numina/001245.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001245",
   "batch_fingerprint": "cbb6be79570f97b4743d0a345f292fb771f3ee802731e88ece02fe2a62a2b759",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001245-0000-ac638fd7248265ec.parquet",
-      "sha256": "ac638fd7248265ecd8249f7f4b92ba02d3ebf027295b733290482d95fa0bac19",
-      "bytes": 295501,
-      "rows": 38,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/numina-001245-0000-6382782515217ed2.parquet",
-      "sha256": "6382782515217ed2dfa80c4872606e69118d92b1984d21052eeb01d714316e51",
-      "bytes": 54039,
-      "rows": 4,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ab91001-30b7-5faa-9fa9-a9be564a0210",
     "numina:350c3cb5-414c-5eed-8e58-f20bab2be1b6",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006226.lean\",\"11056ac7e88a9fbbac5f86d1597d5dfc40214b85d108b258df64427724ad85b1\",0,\"algebra_15792\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006227.lean\",\"208604fdc7949e50cad9098eb60a892ba9e8e46204dc8ed98e144a9b5eda2592\",0,\"algebra_35535\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006229.lean\",\"1dc40a663b42070c1608961112257e6dd22213842d592e8afd616a86ec373c3d\",0,\"number_theory_4478\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295501,
+      "path": "data/train/pb6/numina-001245-0000-ac638fd7248265ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "ac638fd7248265ecd8249f7f4b92ba02d3ebf027295b733290482d95fa0bac19"
+    },
+    {
+      "bytes": 54039,
+      "path": "data/internal_test/pb6/numina-001245-0000-6382782515217ed2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6382782515217ed2dfa80c4872606e69118d92b1984d21052eeb01d714316e51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001246.json b/manifests/batches/numina/001246.json
index ee6ce1793c37eb3a928cdf46ec940f532ee4ec6b..0f28730c34583da3210c383f63179f236383f581 100644
--- a/manifests/batches/numina/001246.json
+++ b/manifests/batches/numina/001246.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001246",
   "batch_fingerprint": "5cd4632caa754a6f9e0a3394055bab6d73275cb6432339fab97c9af4fa9e49a1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001246-0000-47f7f0317f4fb715.parquet",
-      "sha256": "47f7f0317f4fb7153d4c45cbe59ba3dab9e33150231f4a9cc754331cbc53a9b9",
-      "bytes": 339655,
-      "rows": 45,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1660ed49-9abc-5ae8-b5a3-7e8b85289438",
     "numina:b3c0e9d1-0712-59f8-9d4b-6f53e0593197",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006232.lean\",\"62424c288d8c9279b899cbdd2f8fe1d471fe287a802d9e086cee5e94400addc4\",0,\"number_theory_111220\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006233.lean\",\"bf3977683305f8d156f42498051e18ca78b28338009739d6924e3348b0d853d8\",0,\"number_theory_4479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006234.lean\",\"4f4a360c337d065f8053ecd405260754a63eece7ea1db28a658cc7813a122061\",0,\"algebra_111255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339655,
+      "path": "data/train/p00/numina-001246-0000-47f7f0317f4fb715.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "47f7f0317f4fb7153d4c45cbe59ba3dab9e33150231f4a9cc754331cbc53a9b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001247.json b/manifests/batches/numina/001247.json
index ca65191d98a9b19a4b5167748f75fcb20e5125bd..c1590348ac347d8cda5b3a0348d8f83fd77015f3 100644
--- a/manifests/batches/numina/001247.json
+++ b/manifests/batches/numina/001247.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001247",
   "batch_fingerprint": "b971e01d72877a9c7b7d13bd582aa830df68e2b8209b8908b36ad5c7d0438a0b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001247-0000-1cf2cdbe3a49b31c.parquet",
-      "sha256": "1cf2cdbe3a49b31cff831e6efee1db13ce1740f1b4c03827b3be18b373140578",
-      "bytes": 340584,
-      "rows": 55,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/numina-001247-0000-ef77fbbe88705893.parquet",
-      "sha256": "ef77fbbe88705893198ff9f742189073d5c0fbc7a875377e43db15bd9196c381",
-      "bytes": 150256,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e5837da-694d-531d-82ab-4769cbfba30d",
     "numina:679a1937-0d00-5330-9ba3-e7c2a2c9ad19",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006237.lean\",\"bdba58f9f49e4cae2a7049404965f7d74c56a3a85857fd5a4a0f12e6cdf85ee4\",0,\"number_theory_15085\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006238.lean\",\"b9e2f77809b3b320e8d784e6a7b970ef18786a2c1d854bcca5233d41a7ac9893\",0,\"algebra_607577\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006239.lean\",\"861a1e0214e4fddb72a81aa313fa171ee1a738ac5ec6b008a3e19f9f430e61b7\",0,\"algebra_99587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340584,
+      "path": "data/train/p30/numina-001247-0000-1cf2cdbe3a49b31c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "1cf2cdbe3a49b31cff831e6efee1db13ce1740f1b4c03827b3be18b373140578"
+    },
+    {
+      "bytes": 150256,
+      "path": "data/internal_test/p30/numina-001247-0000-ef77fbbe88705893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ef77fbbe88705893198ff9f742189073d5c0fbc7a875377e43db15bd9196c381"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001248.json b/manifests/batches/numina/001248.json
index 87cdf02faa031b2fbdbac7bd495156d77ddc7ec3..20617caaaf8dd33189e5e4fddae8872725fd5762 100644
--- a/manifests/batches/numina/001248.json
+++ b/manifests/batches/numina/001248.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001248",
   "batch_fingerprint": "e3eb5f695da3e030cf7e1a5830c16d92f2cc8bca66d4c7df02ea5d3ebde8ca61",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001248-0000-306d52dca214aad1.parquet",
-      "sha256": "306d52dca214aad15f4fa919cb7252596f0f3f0716544c57fdf131e937fd8ffc",
-      "bytes": 361349,
-      "rows": 40,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/numina-001248-0000-904a636bb44ce043.parquet",
-      "sha256": "904a636bb44ce043beb31b1e66c94b2b48959523ce651cc84fc920c6ef222cf7",
-      "bytes": 71099,
-      "rows": 15,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0160ca12-5055-56d9-b2fe-bf6469546b20",
     "numina:586c6828-1c08-58b6-9dcd-0dc195aa79a9",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006242.lean\",\"d051a2ef197e4e004f9997543c36461eceafb1a743323194264b6090a8aa608b\",0,\"inequalities_89372\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006243.lean\",\"4f11a8c9aa3c5f20b597e128fb3213052a3b87446630bd85359c2afa62b37c74\",0,\"algebra_9391\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006244.lean\",\"5e0cbc43b909f63383c83fafb74b913a14fe53b237cc1e93964ceae6b10d63df\",0,\"algebra_606439\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361349,
+      "path": "data/train/pee/numina-001248-0000-306d52dca214aad1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "306d52dca214aad15f4fa919cb7252596f0f3f0716544c57fdf131e937fd8ffc"
+    },
+    {
+      "bytes": 71099,
+      "path": "data/internal_test/pee/numina-001248-0000-904a636bb44ce043.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "904a636bb44ce043beb31b1e66c94b2b48959523ce651cc84fc920c6ef222cf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001249.json b/manifests/batches/numina/001249.json
index 06c013b695673b383a3cd57b6a9a116b3bdc638e..dd1245fc685ca859f1627338750bdef9f272aa5b 100644
--- a/manifests/batches/numina/001249.json
+++ b/manifests/batches/numina/001249.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001249",
   "batch_fingerprint": "a174c21a9946494ba33533f155a66d4887829db193013c2f4032972f0faff462",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001249-0000-87fc6a1467d6bcd6.parquet",
-      "sha256": "87fc6a1467d6bcd687e08d9c0e17257df81e9d587c000dfef6e9b63d20be0ec1",
-      "bytes": 687983,
-      "rows": 75,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/train/numina-001249-0001-7dea043b02888c08.parquet",
-      "sha256": "7dea043b02888c08b135c07ddfb8dfdf178c3d674600a4814b1cd348cadc0401",
-      "bytes": 503087,
-      "rows": 13,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/numina-001249-0000-e4cf18725dca463c.parquet",
-      "sha256": "e4cf18725dca463cfd5bde53d2a6ef569a80d62119d6effcf47d7e9839a82444",
-      "bytes": 155871,
-      "rows": 17,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c6580b8-7ba6-51f8-85ea-dea911de4eb5",
     "numina:62c6643f-7cbe-5c3c-a15b-b2048fe130fd",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006247.lean\",\"b53355b2c29713e7c285725331df52f2fcfb2b6fe3ab7bf6167fd7f4ab64d757\",0,\"number_theory_210632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006248.lean\",\"d2c2932ce5e3160f074907982402ced3711cb1fe1ebc12d8f92d50cd21b973ad\",0,\"algebra_95346\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006249.lean\",\"910455c547c9251a9cadde2ebe56ebb8f439c46bb05c754966904fc0b9f46596\",0,\"algebra_24132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 687983,
+      "path": "data/train/p06/numina-001249-0000-87fc6a1467d6bcd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "87fc6a1467d6bcd687e08d9c0e17257df81e9d587c000dfef6e9b63d20be0ec1"
+    },
+    {
+      "bytes": 503087,
+      "path": "data/train/p06/numina-001249-0001-7dea043b02888c08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7dea043b02888c08b135c07ddfb8dfdf178c3d674600a4814b1cd348cadc0401"
+    },
+    {
+      "bytes": 155871,
+      "path": "data/dev/p06/numina-001249-0000-e4cf18725dca463c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e4cf18725dca463cfd5bde53d2a6ef569a80d62119d6effcf47d7e9839a82444"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001250.json b/manifests/batches/numina/001250.json
index 967483b0044697cd610183f2f055b8de19c96de9..62c7e50ae0986d707b75c6f7e41d4785d13dabd1 100644
--- a/manifests/batches/numina/001250.json
+++ b/manifests/batches/numina/001250.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001250",
   "batch_fingerprint": "7f7e60d9d4959f3ef8b6c28766c625e70acdd22f645a81c5f02a9fbd968b09d1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001250-0000-b73b388d537595de.parquet",
-      "sha256": "b73b388d537595de56ffd4ec1ad7c1d14c43567f339b8ef0ab1329f9b7107a5e",
-      "bytes": 613987,
-      "rows": 33,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:114ac71c-5133-5782-b1e3-c4f837df69df",
     "numina:1b1d3269-c7c5-5cc3-8916-e4b774f7805c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006252.lean\",\"a7d6dd655520ba15241248aba8451e8a456b4786a4698c23d9f4ae1c948e92e3\",0,\"algebra_184247\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006253.lean\",\"06f61a394b00a73f0f4be205c0723c337b12225f9e400283caa0b4a3d011490b\",0,\"NumberTheory_n1\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006254.lean\",\"d9515dad765c399eeff10baf20d871a077e9ec769b1a9588323ff39e9fb88ef7\",0,\"algebra_95383\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 613987,
+      "path": "data/train/pf7/numina-001250-0000-b73b388d537595de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "b73b388d537595de56ffd4ec1ad7c1d14c43567f339b8ef0ab1329f9b7107a5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001251.json b/manifests/batches/numina/001251.json
index 999017b1a8a13dbd25627c3d8782df7054d1522c..9c62f2e7367fbbee675f32f435d5691ab15184d8 100644
--- a/manifests/batches/numina/001251.json
+++ b/manifests/batches/numina/001251.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001251",
   "batch_fingerprint": "96e9b2bd53e85432cfb37010e42738860c06f1cee38ee54f1bed2ea769cbcc99",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001251-0000-f3d0d5b6dc8c0422.parquet",
-      "sha256": "f3d0d5b6dc8c0422d4ce6bc0f34ba913633ce0b331a7a5323a4fdb5e465f2e97",
-      "bytes": 183470,
-      "rows": 22,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/numina-001251-0000-e9ba8c783fd913e3.parquet",
-      "sha256": "e9ba8c783fd913e3c5a803ef83f673d8063cca7af51306ca6380d7eecb093efe",
-      "bytes": 62551,
-      "rows": 9,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:392f56f6-70df-5cf5-a5ca-bf941e46d748",
     "numina:bade4871-748a-5835-bd7a-3273f0089807",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006257.lean\",\"47e48cac384369a993782a3055f386205289e1c1c8a8680edfd05c4a3be5c94e\",0,\"number_theory_109171\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006258.lean\",\"df717e3ab65c1be7e49cd8232c6aa29234a0bd1c15d9e2e4e757cd6706efc608\",0,\"inequalities_154508\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006259.lean\",\"ff79514876f69601fe27a1e4fe5b153d6fe8d75139961861ab7d1032063ddd52\",0,\"algebra_13001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183470,
+      "path": "data/train/pf5/numina-001251-0000-f3d0d5b6dc8c0422.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f3d0d5b6dc8c0422d4ce6bc0f34ba913633ce0b331a7a5323a4fdb5e465f2e97"
+    },
+    {
+      "bytes": 62551,
+      "path": "data/dev/pf5/numina-001251-0000-e9ba8c783fd913e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e9ba8c783fd913e3c5a803ef83f673d8063cca7af51306ca6380d7eecb093efe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001252.json b/manifests/batches/numina/001252.json
index 4ffc7929410237a2e2eb41fe204d161943124778..c94d19b35615e12da8293f681b8d4a4313ffe0b8 100644
--- a/manifests/batches/numina/001252.json
+++ b/manifests/batches/numina/001252.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001252",
   "batch_fingerprint": "b7275e66303f48ccc11accba687304602177a8acf301ac89a0eddd9d3a63af68",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001252-0000-1755e9b54283fe2c.parquet",
-      "sha256": "1755e9b54283fe2caccf709651ede93c02f29b575e601da2fafd59927633f793",
-      "bytes": 131869,
-      "rows": 20,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/dev/numina-001252-0000-7641d5a0765cd3c5.parquet",
-      "sha256": "7641d5a0765cd3c5d5a099d4fb287b2713c8728526edaf4de051a27d5ffaa0f7",
-      "bytes": 122877,
-      "rows": 3,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:174a401f-07b0-5683-9763-739494431ddb",
     "numina:22599b6f-b740-56ef-82ef-b4dba9ab02d3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006262.lean\",\"8e9eb340510ceb115f03a35896b2b63a4da5014518baf4ed3b784c43680b6401\",0,\"inequalities_63247\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006263.lean\",\"5ce9156998ec255dd991a8e626ca16d8e274e96f9ec668718f92d231e30f17a3\",0,\"algebra_610513\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006264.lean\",\"ae898f7c5c799e74a9c04ff97ce08205f90deaaacd820de55f0fe9f34c98c0de\",0,\"algebra_18945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131869,
+      "path": "data/train/p08/numina-001252-0000-1755e9b54283fe2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1755e9b54283fe2caccf709651ede93c02f29b575e601da2fafd59927633f793"
+    },
+    {
+      "bytes": 122877,
+      "path": "data/dev/p08/numina-001252-0000-7641d5a0765cd3c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7641d5a0765cd3c5d5a099d4fb287b2713c8728526edaf4de051a27d5ffaa0f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001253.json b/manifests/batches/numina/001253.json
index 97efbd15971619a07697a8c975d0746152f25296..04d78e4599ab3dab12e24cd7ea848a4e1ac53c1a 100644
--- a/manifests/batches/numina/001253.json
+++ b/manifests/batches/numina/001253.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001253",
   "batch_fingerprint": "2d22b0c068fecf1ba51b49e9bf9949a728af7fc5acd0947d0ca21ad1d4cc4f6b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001253-0000-e97ecedaf9de14f9.parquet",
-      "sha256": "e97ecedaf9de14f99d1b57a0bf9eab3d4438cbf1fda9f53b75efe489d3f97d84",
-      "bytes": 196989,
-      "rows": 29,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/numina-001253-0000-4c4c524fba8a94e7.parquet",
-      "sha256": "4c4c524fba8a94e775dc54698742b742be3c6571ae4e960ddbb58081b433d112",
-      "bytes": 322775,
-      "rows": 25,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1559e25b-fe9a-5a7a-8918-0a4241309afc",
     "numina:49d049ec-7067-55ae-8f5a-fc3824a0cd65",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006267.lean\",\"b2c51e6b9b8a677890d4f60e773eaa636412b58ec94cd275889df6e93f84aef3\",0,\"algebra_24647\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006268.lean\",\"30e40d65171e1ef82ece9cb053a4b6fa41ffca6475cffc95c892622019bc98b3\",0,\"AMC_Algebra_1196\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006269.lean\",\"de26ecbc83358f125eb46c340166b1c6de0f20ebe1a9a26d6890d11a4262b2d2\",0,\"algebra_11570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196989,
+      "path": "data/train/p89/numina-001253-0000-e97ecedaf9de14f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e97ecedaf9de14f99d1b57a0bf9eab3d4438cbf1fda9f53b75efe489d3f97d84"
+    },
+    {
+      "bytes": 322775,
+      "path": "data/internal_test/p89/numina-001253-0000-4c4c524fba8a94e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4c4c524fba8a94e775dc54698742b742be3c6571ae4e960ddbb58081b433d112"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001254.json b/manifests/batches/numina/001254.json
index 0d2802939be8a45e22b0bd581b34e4528f4ee240..4a0235180cc3a8c46c4892a092c2a9971c75b1c0 100644
--- a/manifests/batches/numina/001254.json
+++ b/manifests/batches/numina/001254.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001254",
   "batch_fingerprint": "2c683c1df8016b8a2433f4e91e1b96362b1c6e2505203c186799da1cf5386a5d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001254-0000-080b8d81ff8b344d.parquet",
-      "sha256": "080b8d81ff8b344d2b18c35c4fb7282b12ec4fcdd381aafc53968e7dc11b5ae3",
-      "bytes": 133261,
-      "rows": 26,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    },
-    {
-      "path": "data/internal_test/numina-001254-0000-303518b5b583041e.parquet",
-      "sha256": "303518b5b583041e55a288fc7019bc7d4eb40ea1af44b5082c29339453114bd1",
-      "bytes": 22153,
-      "rows": 1,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:419d9520-15c6-5ead-8c13-b3c550aa510b",
     "numina:bfd0e8db-530a-507d-9a53-a3c24ad1d631",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006272.lean\",\"23f4c1d9a853b578d1ae5cba037f08510466c91e894473653d2f06d01c17cb83\",0,\"algebra_610529\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006273.lean\",\"69e01abc8c807f5aa8c915b627dba8dec3fdf175f02833bdc987b7acb868349f\",0,\"algebra_607624\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006274.lean\",\"95a5619abc2328fbc0f85c5ef2f87b2ea890f48f30056ba278a7e3314b30c1f6\",0,\"number_theory_283227\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133261,
+      "path": "data/train/pc8/numina-001254-0000-080b8d81ff8b344d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "080b8d81ff8b344d2b18c35c4fb7282b12ec4fcdd381aafc53968e7dc11b5ae3"
+    },
+    {
+      "bytes": 22153,
+      "path": "data/internal_test/pc8/numina-001254-0000-303518b5b583041e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "303518b5b583041e55a288fc7019bc7d4eb40ea1af44b5082c29339453114bd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001255.json b/manifests/batches/numina/001255.json
index 09aede55fe47df884633f9527d117924b81c07fe..5c279a9bb713d6b37bffcf5fb73903533968bbe5 100644
--- a/manifests/batches/numina/001255.json
+++ b/manifests/batches/numina/001255.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001255",
   "batch_fingerprint": "c1220dba56ad145468a94d82e9368e53320ae9ca35d1ba50996d11fe82a1cba0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001255-0000-2abfbdbff7ff3cb3.parquet",
-      "sha256": "2abfbdbff7ff3cb3a1a0d87e395465867690f9671d1a3a6bddd4c5c00e1dcaab",
-      "bytes": 252236,
-      "rows": 40,
-      "revision": "a27187c831821bceb8bb54d1d26a1e1ec8047d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0788ec65-89ca-561a-b2c8-91e018c9a176",
     "numina:2dbf7ed4-7282-5e57-b399-f501b7b50ccb",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006277.lean\",\"6bb26093364183171f204dbe82e82fa34e1ff00e39a0f9103ecdc66730fdec0c\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006278.lean\",\"2f85737497dbc69fa823820bcc65d800c1f42f5499108e1a88e16e0bbfcd5a75\",0,\"number_theory_15152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006279.lean\",\"6a6fe73736a3d8e8e0509a2fcad04b16b04e85a64eebc61338ad58a93faa4eb3\",0,\"number_theory_610532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252236,
+      "path": "data/train/pe6/numina-001255-0000-2abfbdbff7ff3cb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "2abfbdbff7ff3cb3a1a0d87e395465867690f9671d1a3a6bddd4c5c00e1dcaab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001256.json b/manifests/batches/numina/001256.json
index e37625874667b59995b97f760ab45e3c54acd03a..8a843d7d2642410c5ec551b8bdba1843826645cd 100644
--- a/manifests/batches/numina/001256.json
+++ b/manifests/batches/numina/001256.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001256",
   "batch_fingerprint": "e1c1d9f1de1881dc3d19bf2cd99e8db59ad17ae001714f108091d07b6b477e96",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:075eafcb-51c5-56b9-99ce-581520e76aa4",
+    "numina:2ec45937-a0c9-5f56-a3ff-62b6ee01ab00",
+    "numina:7befc173-1044-5f73-a5db-2b8422e342ea",
+    "numina:922b737c-cf2d-5dd4-a1db-2a6397f02d70",
+    "numina:a3e7b12a-48f2-59e8-a567-d589f701cc48"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006280.lean\",\"b0b4d213ff7463470bffa46170917b3bff0dba5cd7a9f6c55b6f323408d6c953\",0,\"algebra_20903\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006281.lean\",\"e80150a497bb496a4c7b745a8663aeb2c01465b58de6e2094dbc9bf11a9b0d04\",0,\"inequalities_119502\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006282.lean\",\"ca6b84723d005d09ed003c9d5b530f322757dfecd1f0553d22669cc2c13439d6\",0,\"algebra_11095\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006283.lean\",\"a5ba85b01ddc7bf45dbd53ecb721520834b356e2e4af67420fffc791f17227be\",0,\"number_theory_161231\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006284.lean\",\"8c169087b8c76787655318959d4337c02946f44b63db8d8568526d32b3558620\",0,\"algebra_95129\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001256-0000-1df4e852409277fd.parquet",
-      "sha256": "1df4e852409277fd126e60aab7cf7fa4cc931221f1f4c95430f29e3d1af44635",
       "bytes": 835192,
+      "path": "data/train/pc2/numina-001256-0000-1df4e852409277fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 51,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
+      "sha256": "1df4e852409277fd126e60aab7cf7fa4cc931221f1f4c95430f29e3d1af44635"
     },
     {
-      "path": "data/train/numina-001256-0001-0b465dd219231ecc.parquet",
-      "sha256": "0b465dd219231ecc057812891d8ce93d342c988184848ece9809724f6dfd35a4",
       "bytes": 704503,
+      "path": "data/train/pc2/numina-001256-0001-0b465dd219231ecc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 29,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
+      "sha256": "0b465dd219231ecc057812891d8ce93d342c988184848ece9809724f6dfd35a4"
     },
     {
-      "path": "data/train/numina-001256-0002-455d04466855aa9a.parquet",
-      "sha256": "455d04466855aa9a1050214240e37be2772f6b9b4a43d44b2402a9b8c22598f0",
       "bytes": 352231,
+      "path": "data/train/pc2/numina-001256-0002-455d04466855aa9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
+      "sha256": "455d04466855aa9a1050214240e37be2772f6b9b4a43d44b2402a9b8c22598f0"
     },
     {
-      "path": "data/internal_test/numina-001256-0000-47db16a0f9ef67bb.parquet",
-      "sha256": "47db16a0f9ef67bbe66987fca0c55bc76c670e5681ad8a0f00b58a7f1df33a30",
       "bytes": 25677,
+      "path": "data/internal_test/pc2/numina-001256-0000-47db16a0f9ef67bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
+      "sha256": "47db16a0f9ef67bbe66987fca0c55bc76c670e5681ad8a0f00b58a7f1df33a30"
     }
-  ],
-  "proof_ids": [
-    "numina:075eafcb-51c5-56b9-99ce-581520e76aa4",
-    "numina:2ec45937-a0c9-5f56-a3ff-62b6ee01ab00",
-    "numina:7befc173-1044-5f73-a5db-2b8422e342ea",
-    "numina:922b737c-cf2d-5dd4-a1db-2a6397f02d70",
-    "numina:a3e7b12a-48f2-59e8-a567-d589f701cc48"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006280.lean\",\"b0b4d213ff7463470bffa46170917b3bff0dba5cd7a9f6c55b6f323408d6c953\",0,\"algebra_20903\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006281.lean\",\"e80150a497bb496a4c7b745a8663aeb2c01465b58de6e2094dbc9bf11a9b0d04\",0,\"inequalities_119502\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006282.lean\",\"ca6b84723d005d09ed003c9d5b530f322757dfecd1f0553d22669cc2c13439d6\",0,\"algebra_11095\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006283.lean\",\"a5ba85b01ddc7bf45dbd53ecb721520834b356e2e4af67420fffc791f17227be\",0,\"number_theory_161231\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006284.lean\",\"8c169087b8c76787655318959d4337c02946f44b63db8d8568526d32b3558620\",0,\"algebra_95129\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001257.json b/manifests/batches/numina/001257.json
index 19306f03f774ab47ed260e5f7dfb1097d8e3e315..1d089da008a03103099a986dac15e112ed0f95d8 100644
--- a/manifests/batches/numina/001257.json
+++ b/manifests/batches/numina/001257.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001257",
   "batch_fingerprint": "051a6175aa609957f619b9c0f8ce0532a8f771a36755531cb6d66a0866ea5430",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001257-0000-c2cd690d6cbeca17.parquet",
-      "sha256": "c2cd690d6cbeca178ba756f22f66936016304ee07f8f81eed7d8423169007914",
-      "bytes": 375808,
-      "rows": 23,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/numina-001257-0000-ae59e1cb71fd1890.parquet",
-      "sha256": "ae59e1cb71fd18902844c5e2337b6d6ba6fdd6df67c3f936f6978530ee38b855",
-      "bytes": 63233,
-      "rows": 12,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11814e28-8658-545a-b9e1-d9818daf6fa9",
     "numina:12b384bc-fef1-5a0b-bad0-12e836ab9cfb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006287.lean\",\"deb8d4c8ddbf93f1eaf4d699ad3abe3733a66083989a5b53974a585c79bf87fd\",0,\"algebra_218917\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006288.lean\",\"8606a9f1de1c6eba93d8c23515a95f8122018b74184b7e1eee6fafa60c5acfc1\",0,\"number_theory_606253\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006289.lean\",\"5262af9da4e3dbd52c0381223d54cf9ed2873559f6c75a973bb283ac3a2ac6cc\",0,\"algebra_95135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375808,
+      "path": "data/train/pc9/numina-001257-0000-c2cd690d6cbeca17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c2cd690d6cbeca178ba756f22f66936016304ee07f8f81eed7d8423169007914"
+    },
+    {
+      "bytes": 63233,
+      "path": "data/internal_test/pc9/numina-001257-0000-ae59e1cb71fd1890.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ae59e1cb71fd18902844c5e2337b6d6ba6fdd6df67c3f936f6978530ee38b855"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001258.json b/manifests/batches/numina/001258.json
index 483c49f902a7abcfd6ced894059db77f74de8861..6fcf3438e894986e7f371210ccce0cb040b94110 100644
--- a/manifests/batches/numina/001258.json
+++ b/manifests/batches/numina/001258.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001258",
   "batch_fingerprint": "fc4ad41df5feb2119c61fc3e928ea99fb3e233cea8cfcd2429eedfa02194b569",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001258-0000-ff61ba6adf159dba.parquet",
-      "sha256": "ff61ba6adf159dba28424895a26217c7861437225887ffcc81dda52595ab792e",
-      "bytes": 153652,
-      "rows": 41,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/numina-001258-0000-2541b3e388901a87.parquet",
-      "sha256": "2541b3e388901a877a1957479e1f04776dea2731a07c9d99dabc4efe4c2b549f",
-      "bytes": 77445,
-      "rows": 12,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11dce336-5df0-523f-9dba-99c7c30f03c4",
     "numina:5635d329-4a90-5a5b-ba23-53761d9a316c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006292.lean\",\"60ac68675d2f5a8ab8aaa69e32a38fb817edbfa59f89d9fa2a15000b14587edd\",0,\"inequalities_606254\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006293.lean\",\"23d39d33533b90e00c6b9f66e6ed9e0877d0a8423b3d898ed7ac1c67d5f00430\",0,\"algebra_21239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006294.lean\",\"41cf82272d7b93e97b6f4fb38435b4eb62e8f57c992e29700edd19559abf6bd3\",0,\"number_theory_610854\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153652,
+      "path": "data/train/p9a/numina-001258-0000-ff61ba6adf159dba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "ff61ba6adf159dba28424895a26217c7861437225887ffcc81dda52595ab792e"
+    },
+    {
+      "bytes": 77445,
+      "path": "data/internal_test/p9a/numina-001258-0000-2541b3e388901a87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2541b3e388901a877a1957479e1f04776dea2731a07c9d99dabc4efe4c2b549f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001259.json b/manifests/batches/numina/001259.json
index f4fb13f75a4b46f1df77094a8e96f6d7bdf05e2b..ce0cea58966d0d71d7818f2e0da368da51829093 100644
--- a/manifests/batches/numina/001259.json
+++ b/manifests/batches/numina/001259.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001259",
   "batch_fingerprint": "2389a8432ec26f839b63066aa97ab54e7011d5ca9f25548f8c22800bd1f02977",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001259-0000-a3595abe4fbfee2f.parquet",
-      "sha256": "a3595abe4fbfee2f512d25a79da3485cb6f61dd9b128ce933fd5ea4f35d8748f",
-      "bytes": 307709,
-      "rows": 43,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19f291ba-91a8-5355-8880-dd2a9cb75f44",
     "numina:95a674c7-e5c8-5c6b-b7f4-aedd0bc7b547",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006297.lean\",\"238c58a6ec5a1b656cec4bf2cccd4b25ca18cfd32a8e6a285b4a9eed34d656f5\",1,\"algebra_260737_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006298.lean\",\"bec869d8d798a082b1b93f4bd6085b4cb758c36b3a9f43eeebe655635442d393\",0,\"algebra_100581\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006299.lean\",\"add2f4b0c7fcd15461b4ffe4f76e2cdb9c875a55a95b486ba415b3359f1a2c95\",0,\"algebra_9306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307709,
+      "path": "data/train/p38/numina-001259-0000-a3595abe4fbfee2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "a3595abe4fbfee2f512d25a79da3485cb6f61dd9b128ce933fd5ea4f35d8748f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001260.json b/manifests/batches/numina/001260.json
index 7312edc3c6204b143779bf88d8343b8e3fc2882b..0b904d9e20a42ca4e0f7078b25e38a34065a7b63 100644
--- a/manifests/batches/numina/001260.json
+++ b/manifests/batches/numina/001260.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001260",
   "batch_fingerprint": "864008a082a36e1072a401d265a7b669d03027112d3addda4b8b17d8b9d92a81",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001260-0000-6575ab8ce4e00316.parquet",
-      "sha256": "6575ab8ce4e0031620cca79e7de7f3949c32a7a58cf88711a4c4f7c52217912a",
-      "bytes": 674946,
-      "rows": 58,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/train/numina-001260-0001-4bbd8a0678a68427.parquet",
-      "sha256": "4bbd8a0678a684277650ff1820ba33156e0539bb3e75e9b2b4b6acc7892f3c39",
-      "bytes": 127559,
-      "rows": 9,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08e5d67e-7c5f-56c5-83ef-a8e36db7f327",
     "numina:4835072e-3885-5d2d-b499-797a06ca919a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006302.lean\",\"4c5c0e8e98d2940f7a7215202918556c7d2406f15d7f28bccaef54ceac3a3829\",0,\"number_theory_77603\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006303.lean\",\"3a616512f977e1fb0725c1dd86af9f1ef1b898e7aaae467f3b7f2e83c00c2d0a\",0,\"algebra_610856\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006304.lean\",\"38c1ff4c956189d05af15992529a552ebf7667042f5f402a147e9c27b399d63b\",0,\"algebra_248374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 674946,
+      "path": "data/train/pac/numina-001260-0000-6575ab8ce4e00316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 58,
+      "sha256": "6575ab8ce4e0031620cca79e7de7f3949c32a7a58cf88711a4c4f7c52217912a"
+    },
+    {
+      "bytes": 127559,
+      "path": "data/train/pac/numina-001260-0001-4bbd8a0678a68427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4bbd8a0678a684277650ff1820ba33156e0539bb3e75e9b2b4b6acc7892f3c39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001261.json b/manifests/batches/numina/001261.json
index 7391db3c4aa43818afcaa60a0945042d5ab08012..bd0534cdbf1101201204416c6a5cad5adfa01bda 100644
--- a/manifests/batches/numina/001261.json
+++ b/manifests/batches/numina/001261.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001261",
   "batch_fingerprint": "67dc732165c41b79d32e37c7d91740b82d97a9b137d7d33e92f05208d1b747bc",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001261-0000-ce952f9e509387c7.parquet",
-      "sha256": "ce952f9e509387c71c2802fe54302f5b6263d44c5acde50533a80cab07c586aa",
-      "bytes": 392764,
-      "rows": 40,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/dev/numina-001261-0000-cd7218d3f544f7e7.parquet",
-      "sha256": "cd7218d3f544f7e721d9394312d3e3787a5d5578d6bb62fcdb141a7d095bf3dc",
-      "bytes": 238571,
-      "rows": 25,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/numina-001261-0000-58552d3b3494619b.parquet",
-      "sha256": "58552d3b3494619bf80385e0a1c90832165f99039cdf6075438658e3b59ce935",
-      "bytes": 28803,
-      "rows": 1,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:64cc0a28-af5a-5fe3-8b72-156b24203a6d",
     "numina:71437a57-6acd-50fc-829c-b1095d5c6467",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006307.lean\",\"a27df1740c811ff372342de442fbef8dc0dab165fc53b8393e14e2121998048e\",0,\"algebra_95910\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006308.lean\",\"f9d7e7f06c78b5b9b1fe164571739c14021f3cac584740d4dd1014075fe98135\",0,\"algebra_304444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006309.lean\",\"1fbafe46f4cb1dfe462e21f7167209082315a0067d5c980829fd975ca386d760\",0,\"inequalities_606259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392764,
+      "path": "data/train/p64/numina-001261-0000-ce952f9e509387c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "ce952f9e509387c71c2802fe54302f5b6263d44c5acde50533a80cab07c586aa"
+    },
+    {
+      "bytes": 238571,
+      "path": "data/dev/p64/numina-001261-0000-cd7218d3f544f7e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cd7218d3f544f7e721d9394312d3e3787a5d5578d6bb62fcdb141a7d095bf3dc"
+    },
+    {
+      "bytes": 28803,
+      "path": "data/internal_test/p64/numina-001261-0000-58552d3b3494619b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "58552d3b3494619bf80385e0a1c90832165f99039cdf6075438658e3b59ce935"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001262.json b/manifests/batches/numina/001262.json
index 915a224618d5b88122b30082c7a6536ffc41a2a8..f98362af560314e0c2952ad9e9122e6ed0f57869 100644
--- a/manifests/batches/numina/001262.json
+++ b/manifests/batches/numina/001262.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001262",
   "batch_fingerprint": "07449b352d97a0dc4415a231c3b807d97b7c082a3207c46d15f4e84069fa61ad",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001262-0000-b1a1d698a4f161ba.parquet",
-      "sha256": "b1a1d698a4f161ba1a7f8e09049b9a55c9e489a456360872402bbc1dafde984b",
-      "bytes": 289675,
-      "rows": 13,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/train/numina-001262-0001-3a48601f4f423676.parquet",
-      "sha256": "3a48601f4f4236768f66e7ae9afaed50a16d561535ec13cf389c1dc6ee55425b",
-      "bytes": 446861,
-      "rows": 3,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:536cdc0e-c8cf-5464-ae38-5327852cf390",
     "numina:6e6563f4-f965-5a21-9960-7726ae45324a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006312.lean\",\"a0ea5a1141b1a7c4db030ca47c34e264be62ea1e1cc99d8448753c63d9f864e3\",0,\"inequalities_157656\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006313.lean\",\"1fe79712a25fef6f51bd26b06f844d56be4b9430ee98464c1463b14cfa7c3249\",0,\"algebra_260846\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006314.lean\",\"39887d367adc906780a425e534237fe7a31995fad3772c5a18ec79c34caaf856\",0,\"number_theory_4821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289675,
+      "path": "data/train/p3c/numina-001262-0000-b1a1d698a4f161ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b1a1d698a4f161ba1a7f8e09049b9a55c9e489a456360872402bbc1dafde984b"
+    },
+    {
+      "bytes": 446861,
+      "path": "data/train/p3c/numina-001262-0001-3a48601f4f423676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3a48601f4f4236768f66e7ae9afaed50a16d561535ec13cf389c1dc6ee55425b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001263.json b/manifests/batches/numina/001263.json
index ca037282d4c8a324c0141a0a96d89c8ccc84dca5..0d08dfb21c21f6658ac97478d91b718114a990c0 100644
--- a/manifests/batches/numina/001263.json
+++ b/manifests/batches/numina/001263.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001263",
   "batch_fingerprint": "f82eb084672c81a5c5bc34f623e09e0c19ab1bf21349394072e8ee245b0e69b9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001263-0000-a0d3e92b7e54b5c3.parquet",
-      "sha256": "a0d3e92b7e54b5c375ee62c2d8c7160fa3267b8d368f7d0da64492385355e261",
-      "bytes": 348494,
-      "rows": 44,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bcf1583-f90a-5ab0-95a6-294080766253",
     "numina:616dfb66-1c5a-5536-a8da-2101a1597dda",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006317.lean\",\"fc090ce0221bcbcc2cef8b8d4070b66fc4e66c0fd01252dabed22df3b26c2198\",0,\"inequalities_27343\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006318.lean\",\"f9c72c365ed96ee2275a515fec017f16368084273e1b87b0f287027fa132add0\",0,\"algebra_197494\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006319.lean\",\"26b03d70ff48f42c622c966eb3b02ec1e50743fd4cb64e302268c7ec1475279e\",0,\"algebra_108945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348494,
+      "path": "data/train/p52/numina-001263-0000-a0d3e92b7e54b5c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "a0d3e92b7e54b5c375ee62c2d8c7160fa3267b8d368f7d0da64492385355e261"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001264.json b/manifests/batches/numina/001264.json
index dd89c84c9d878835b67014e5e4b5bbc87928f3d5..d0b46f2b034877f38e93758e2c17372b25c0531b 100644
--- a/manifests/batches/numina/001264.json
+++ b/manifests/batches/numina/001264.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001264",
   "batch_fingerprint": "3577006bf50cd2999c72a40dadeeec1fca1ccc1d60e5c35c59580d9c6aee8d17",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001264-0000-5ab398d8cdabb094.parquet",
-      "sha256": "5ab398d8cdabb0940006b7783ee9545f4b8456a486e568c2b202e95b796d61af",
-      "bytes": 581418,
-      "rows": 59,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    },
-    {
-      "path": "data/train/numina-001264-0001-02a9b8e5252bf7a7.parquet",
-      "sha256": "02a9b8e5252bf7a7b6ef44ffca840f200d4ab073837dee2b7df9e91e33ebf2d7",
-      "bytes": 554195,
-      "rows": 15,
-      "revision": "0cd5a8a1e5a47385b224fcdd27f35e3c2bef0281"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34bc5d80-3bb7-5fe3-a05e-26d5b843420a",
     "numina:36207bfb-029d-5e61-8175-792b77c26f81",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006322.lean\",\"2600ec88963711d44620b2690db8408bae14e51ffbac665cdd609ad85e508c1a\",0,\"algebra_95919\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006323.lean\",\"6cb169e34e96d3f89c3ff6ecee74fe0fad28b794326ca16f19693d0d695e6395\",0,\"algebra_24389\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006324.lean\",\"bd0ff7f20d6d6d0a33447c7765c52af230b46d7a500e38b687d116a80333b6a7\",0,\"algebra_197517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 581418,
+      "path": "data/train/pa4/numina-001264-0000-5ab398d8cdabb094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "5ab398d8cdabb0940006b7783ee9545f4b8456a486e568c2b202e95b796d61af"
+    },
+    {
+      "bytes": 554195,
+      "path": "data/train/pa4/numina-001264-0001-02a9b8e5252bf7a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "02a9b8e5252bf7a7b6ef44ffca840f200d4ab073837dee2b7df9e91e33ebf2d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001265.json b/manifests/batches/numina/001265.json
index b9587e1e55730782a0d669cc1a6603e1d9126440..d4ff4ee4576947c58d58fee03ca9865c5e2e1454 100644
--- a/manifests/batches/numina/001265.json
+++ b/manifests/batches/numina/001265.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001265",
   "batch_fingerprint": "74765dd08260805636acc48a1df8a250fcab01cb4b58f79499beb7fb975b2e72",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001265-0000-75c2586d1dc48f47.parquet",
-      "sha256": "75c2586d1dc48f476376b1851b7d20123726a7a6207f8c489ca1d1a9c14fb35b",
-      "bytes": 222938,
-      "rows": 14,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    },
-    {
-      "path": "data/internal_test/numina-001265-0000-86f969fba78f9398.parquet",
-      "sha256": "86f969fba78f93989e64ed39cb91a6f073af7d233f21afc6a80104d375656f2e",
-      "bytes": 35068,
-      "rows": 4,
-      "revision": "c286843388948065f02c3978a6614428eb1469f5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36d6e5b6-0ea5-572f-9b3e-add19170a659",
     "numina:3b1c2431-a42a-5149-95aa-b8ee64460e22",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006327.lean\",\"e6e89c18d77b8b517117be557ed97313b23993d09cca7378a8309925598ba0a1\",0,\"algebra_20919\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006328.lean\",\"9398045614053533b18e1e39449708c71eeab1ec0e7f7d5e48712ed5f2bfb006\",0,\"number_theory_4827\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006329.lean\",\"571c1213927b8abd2973ef8c52247fadb6955362b97329a821187e09a4a88388\",2,\"inequalities_95940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222938,
+      "path": "data/train/pd0/numina-001265-0000-75c2586d1dc48f47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "75c2586d1dc48f476376b1851b7d20123726a7a6207f8c489ca1d1a9c14fb35b"
+    },
+    {
+      "bytes": 35068,
+      "path": "data/internal_test/pd0/numina-001265-0000-86f969fba78f9398.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "86f969fba78f93989e64ed39cb91a6f073af7d233f21afc6a80104d375656f2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001266.json b/manifests/batches/numina/001266.json
index e15f10e83f50c9b4ce5f200263278dbcafbf86af..6f4ca493a7ae59274a37a9fb2d07f1fb524116ca 100644
--- a/manifests/batches/numina/001266.json
+++ b/manifests/batches/numina/001266.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001266",
   "batch_fingerprint": "a442afcbd58ce8e203d773b707972d928b4a87c7e9ec99e8271d0d0428d4e763",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001266-0000-9b97779a6ef3c4b1.parquet",
-      "sha256": "9b97779a6ef3c4b1a8381905593f6c889c594d9f3faec1001a467c77f4b26df0",
-      "bytes": 208143,
-      "rows": 13,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/numina-001266-0000-e46c91608c09e309.parquet",
-      "sha256": "e46c91608c09e3092c805e9daa29051aa696f8df7005432a25b79cbc772d0fd2",
-      "bytes": 228837,
-      "rows": 10,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:149dda45-9084-5ef5-a823-4ba72739e8f1",
     "numina:6ee818b8-1dde-512b-b68e-ab759b13a9b8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006332.lean\",\"38a2ed159bea8024d51528e26e6ac96f63aca7fbc6286d1af9bb8d8a586ad52a\",0,\"number_theory_15238\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006333.lean\",\"e0c173ceee4bde99072a2e5008031e3c86392ec80acc5f3453e960f6582f72e9\",0,\"number_theory_24402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006334.lean\",\"b8c9553252a6a4cc05355fd3f09c12c0d28918c855caa414af6346be3acf6512\",0,\"algebra_179776\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208143,
+      "path": "data/train/p2e/numina-001266-0000-9b97779a6ef3c4b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9b97779a6ef3c4b1a8381905593f6c889c594d9f3faec1001a467c77f4b26df0"
+    },
+    {
+      "bytes": 228837,
+      "path": "data/internal_test/p2e/numina-001266-0000-e46c91608c09e309.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e46c91608c09e3092c805e9daa29051aa696f8df7005432a25b79cbc772d0fd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001267.json b/manifests/batches/numina/001267.json
index 02fbfe2c5714988ee4b3016cffb1f15edf2cfa6f..6805b285b26b1e8bd8365b6b6d940eab1ae12c59 100644
--- a/manifests/batches/numina/001267.json
+++ b/manifests/batches/numina/001267.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001267",
   "batch_fingerprint": "85120828af73e3ad522968b8b9243262956e9e9f7e22ab2c561bb59e83b65c88",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001267-0000-a700403179934397.parquet",
-      "sha256": "a700403179934397ea7aaf87ed7ea9056450c6db3f4afc57a9dfd88d6823f798",
-      "bytes": 222558,
-      "rows": 21,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/numina-001267-0000-9e5342093012b416.parquet",
-      "sha256": "9e5342093012b41601f1c3a4f690050cd16a173b68c0af5a42a6f5221495bf2a",
-      "bytes": 130354,
-      "rows": 2,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4d7fd8c6-95c6-5c53-84eb-cae8556c93fe",
     "numina:7a0b5cdc-778b-5bf6-9def-a798cf5685cb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006337.lean\",\"35c90a43d7a5193f90731a1bcd9295eeaa404c093b4ae24b915977dd94c83602\",0,\"algebra_119673\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006338.lean\",\"fb1d7b9b9019ad21f174476c3c2473cd746a6d3a6a31da8ca5d22c20a4fb85be\",0,\"algebra_21248\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006339.lean\",\"63f7a7f6233961fa069e121f082d6c78246479f62097ea1ffa6e6095f6ea4cda\",0,\"algebra_7598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222558,
+      "path": "data/train/pbe/numina-001267-0000-a700403179934397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a700403179934397ea7aaf87ed7ea9056450c6db3f4afc57a9dfd88d6823f798"
+    },
+    {
+      "bytes": 130354,
+      "path": "data/dev/pbe/numina-001267-0000-9e5342093012b416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9e5342093012b41601f1c3a4f690050cd16a173b68c0af5a42a6f5221495bf2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001268.json b/manifests/batches/numina/001268.json
index c24aae801caaa6bcad30b95445ddc3a55d2327c2..ac0d044a552d2b8f0fde617f6e5fb1b260a2a14c 100644
--- a/manifests/batches/numina/001268.json
+++ b/manifests/batches/numina/001268.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001268",
   "batch_fingerprint": "60049077359a788fe589232aef86c248f74e7f1e242e956fca87d131cbb95299",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001268-0000-c33e8c1bc6f224c5.parquet",
-      "sha256": "c33e8c1bc6f224c570d01efc5e20cec138d9a85c672fa76de4b4544153432683",
-      "bytes": 175152,
-      "rows": 21,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:20aff9c6-1a43-590d-95f5-5cbcf0b6a388",
     "numina:6b6ac602-27ff-54cd-bf7c-509d31a0b7ad",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006342.lean\",\"9883878903ab73473dbe563ed24033fd76512c40024d59b75608d7bf5d5c3a51\",0,\"inequalities_600545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006343.lean\",\"23a9ae7ebc310c3318863939172bdae95149c05cede91b223943a695dede1e26\",0,\"algebra_607994\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006344.lean\",\"e07521baac30742c8047bccd7df1d864e50ddb190ddb291261411daf1c747a26\",0,\"inequalities_224814\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175152,
+      "path": "data/train/p7f/numina-001268-0000-c33e8c1bc6f224c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c33e8c1bc6f224c570d01efc5e20cec138d9a85c672fa76de4b4544153432683"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001269.json b/manifests/batches/numina/001269.json
index 5fa8a669c8049f13870b08dcd09d207351f05968..6f835597fcc90f2c88d15adedfaa20639074bf90 100644
--- a/manifests/batches/numina/001269.json
+++ b/manifests/batches/numina/001269.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001269",
   "batch_fingerprint": "eea3a5d15cc9fc04457968022f6952bf6840d30fe8804ca0f6b2a23ed0992b20",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001269-0000-583bceb0c11ea277.parquet",
-      "sha256": "583bceb0c11ea27774bff0c4cc8d2f4a0f97b8ea85283efc4a88e1a69a7832cf",
-      "bytes": 258491,
-      "rows": 36,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:150b3df7-f2de-5379-bfbc-30273f7618f7",
     "numina:5ee839bd-02e7-585d-b1fa-24000e181996",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006347.lean\",\"bcecc2cb284c7d375901e579c73bd7b15c777b060937e3105dca42cbece140d9\",0,\"algebra_612687\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006348.lean\",\"453380580e6f340302b2aa7afdbedd39ad1ac2b6e0f44304437ed27bcdeb8460\",0,\"algebra_254105\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006349.lean\",\"3e480bd36a1f46dc0433e78ebaf58028e7b63b8b7917e3d9c079d489a7609aab\",1,\"number_theory_4835_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258491,
+      "path": "data/train/pb3/numina-001269-0000-583bceb0c11ea277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "583bceb0c11ea27774bff0c4cc8d2f4a0f97b8ea85283efc4a88e1a69a7832cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001270.json b/manifests/batches/numina/001270.json
index 818b458a16bc405eee0ba62ce71ea9e7de3f7c4e..4cb8e99bbcf55b71e727c06d2ed77eb12ff2b268 100644
--- a/manifests/batches/numina/001270.json
+++ b/manifests/batches/numina/001270.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001270",
   "batch_fingerprint": "91b151706e97232d26288c7c0ba7a918169833db9eee8d582f1b71dd509831ca",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001270-0000-9bf39cff21a8deb7.parquet",
-      "sha256": "9bf39cff21a8deb7b9b96d8587b89b400d93fa34a3560b09855276a965c4a534",
-      "bytes": 105815,
-      "rows": 19,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2529897b-d2c8-5384-8a21-4878372c8493",
     "numina:3566395c-6c24-5784-a9d9-5f5ccf38d1d9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006352.lean\",\"836bfdc68115e8879f4a1239d42a3feac2513a22b9b85ae66e96da42a7935569\",0,\"algebra_269872\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006353.lean\",\"1dd22bb6d9015f7ed1da10bb02374b653cdbe0ef9855bfd85ee41c992228c61e\",0,\"number_theory_161318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006354.lean\",\"faaef94513a15680f5cdbc88a342beb439e546a80a90fdb74b9140fa10b1d180\",0,\"number_theory_179850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105815,
+      "path": "data/train/pd7/numina-001270-0000-9bf39cff21a8deb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9bf39cff21a8deb7b9b96d8587b89b400d93fa34a3560b09855276a965c4a534"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001271.json b/manifests/batches/numina/001271.json
index 4b7a2b11eb19d2206de142825c0ead24614ba193..d22cfeab79edcfa373d6ed936cf53954c5127ce9 100644
--- a/manifests/batches/numina/001271.json
+++ b/manifests/batches/numina/001271.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001271",
   "batch_fingerprint": "2a3322e8a273ce8fc1caf513d415212066b9d4715ac2578ae43d8779c45f9dff",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001271-0000-11c3815c8ca212df.parquet",
-      "sha256": "11c3815c8ca212dfaaff3af195e131b1217884998b1ec1ab5681c801b2f69aab",
-      "bytes": 374805,
-      "rows": 27,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:33af2aaa-804e-58cd-bb83-2cfce5634b93",
     "numina:8b95a3c9-85f8-50c0-994c-2a5db905d4fa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006357.lean\",\"1507a4969849441a913d34c0e0852e2733995e35ceefecca87e420ab612334d8\",0,\"algebra_21637\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006358.lean\",\"a564dd9a94d6c107b3f6acc639929f2062236e2ec90446156371a32d3f5dc871\",0,\"number_theory_4885\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006359.lean\",\"3bd7dbcf66cb9ed1916c31b6845ae47832c218e0e0bb7e4d520edf4eefe526e0\",0,\"inequalities_600706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374805,
+      "path": "data/train/p13/numina-001271-0000-11c3815c8ca212df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "11c3815c8ca212dfaaff3af195e131b1217884998b1ec1ab5681c801b2f69aab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001272.json b/manifests/batches/numina/001272.json
index e03b37081696823ead8a7a9c5ebe6f9bef857a7f..f079e960a4bbdc87563c5bb2ccecb7b83e1c9ff5 100644
--- a/manifests/batches/numina/001272.json
+++ b/manifests/batches/numina/001272.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001272",
   "batch_fingerprint": "ee676b81b63401138916929bb0aefc0524ec7fdc7a17be2262a0dac08974517f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001272-0000-e56d576e07fdee3a.parquet",
-      "sha256": "e56d576e07fdee3a83f1f37ae97f7e76ec13a365c35c7d5276ac96721ae0c4c4",
-      "bytes": 170624,
-      "rows": 30,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/dev/numina-001272-0000-cd792df5577c1d0c.parquet",
-      "sha256": "cd792df5577c1d0c3b3580316675aad85e12cac0bb5ef6f9af0ec1e51187ba66",
-      "bytes": 143839,
-      "rows": 20,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c46f273-4167-559c-8144-33e6009732f6",
     "numina:42df760d-fedb-5cdb-8ef2-476856f4b8a5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006362.lean\",\"69483024ad1421f5daaa814c592751edc56b74901de11bc0f296d95341949612\",0,\"algebra_161331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006363.lean\",\"225ba5437934119bb5aa0cbee847e81adf34a5923ccb247afd112ac939f699e7\",0,\"number_theory_179853\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006364.lean\",\"515f65b501e4f1feb1049ab1b3efdc0a832e8495eeed857e4f56f8947cdc08ae\",0,\"algebra_612964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170624,
+      "path": "data/train/p20/numina-001272-0000-e56d576e07fdee3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "e56d576e07fdee3a83f1f37ae97f7e76ec13a365c35c7d5276ac96721ae0c4c4"
+    },
+    {
+      "bytes": 143839,
+      "path": "data/dev/p20/numina-001272-0000-cd792df5577c1d0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cd792df5577c1d0c3b3580316675aad85e12cac0bb5ef6f9af0ec1e51187ba66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001273.json b/manifests/batches/numina/001273.json
index 715f1fa37204833270451040a1779d00ddb08b5c..cf970139a8479046190e5b36b86642a15b53d05d 100644
--- a/manifests/batches/numina/001273.json
+++ b/manifests/batches/numina/001273.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001273",
   "batch_fingerprint": "6a8bc5cf90fe10a472a0c9da443b9d6a4d0e8752c56f060dce68c115b2712a29",
   "evidence": {
@@ -19,55 +18,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2db081c3-897e-5d4f-ad02-582ba4457295",
+    "numina:37603035-14ba-5fc9-947b-269d8e4b3402",
+    "numina:710f2c87-12cd-5c67-a8ad-d45dcdd8bedc",
+    "numina:af9ea619-b2a4-50d5-b03e-eb21ac0951e1",
+    "numina:ff0f1fa4-67dc-56e3-9f42-e236b607e2e9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006365.lean\",\"a2393f35e038944a16a8e60055d3ce634e2e0dae9f017ec6d089d4dc094bb970\",0,\"algebra_21638\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006366.lean\",\"9fd45c53ab646513af9c75d5f469199763d2f419ee610fd7577613e78b6d15c2\",0,\"inequalities_600747\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006367.lean\",\"5cc4e5a1e1a49e26014305f67a69443d63449509dc2947fa4316ee032df2636f\",1,\"number_theory_4887_2\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006368.lean\",\"1ca9cb147edbcf0d8b7169d02bae6a2d044d4cafeba8b0d5f95dbd0285fdef3d\",0,\"number_theory_25462\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006369.lean\",\"8ee625397c5f9c5feb17e2a981d15c21666a51c747bc56b4177cba539fd799af\",0,\"algebra_15669\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001273-0000-1b2c608497a5fd6f.parquet",
-      "sha256": "1b2c608497a5fd6f95b158cf1b9b8d4c219a67347cd97bdb74dd136c035ae15d",
       "bytes": 774935,
+      "path": "data/train/pf2/numina-001273-0000-1b2c608497a5fd6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 27,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
+      "sha256": "1b2c608497a5fd6f95b158cf1b9b8d4c219a67347cd97bdb74dd136c035ae15d"
     },
     {
-      "path": "data/train/numina-001273-0001-69d33a6d11683e9d.parquet",
-      "sha256": "69d33a6d11683e9ded9f78158a8d8a7c815d0d2222a26a98997f935114e5a99f",
       "bytes": 801572,
+      "path": "data/train/pf2/numina-001273-0001-69d33a6d11683e9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
+      "sha256": "69d33a6d11683e9ded9f78158a8d8a7c815d0d2222a26a98997f935114e5a99f"
     },
     {
-      "path": "data/train/numina-001273-0002-3fa8c0472e780e21.parquet",
-      "sha256": "3fa8c0472e780e2182aec1c519d00387603de0efe11a340423e09ac3ec264ffc",
       "bytes": 453140,
+      "path": "data/train/pf2/numina-001273-0002-3fa8c0472e780e21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
+      "sha256": "3fa8c0472e780e2182aec1c519d00387603de0efe11a340423e09ac3ec264ffc"
     },
     {
-      "path": "data/train/numina-001273-0003-e3cb91fa7324371b.parquet",
-      "sha256": "e3cb91fa7324371bdaab682f065d862a76222b24ee5ff0fef9f833f9ab01ee2d",
       "bytes": 757683,
+      "path": "data/train/pf2/numina-001273-0003-e3cb91fa7324371b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
+      "sha256": "e3cb91fa7324371bdaab682f065d862a76222b24ee5ff0fef9f833f9ab01ee2d"
     },
     {
-      "path": "data/train/numina-001273-0004-743dd61d88f5a60a.parquet",
-      "sha256": "743dd61d88f5a60a06fdf52c75313d9c08ea052f56d671426275f7da055a9cef",
       "bytes": 449546,
+      "path": "data/train/pf2/numina-001273-0004-743dd61d88f5a60a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "59880041a1639b69ecc32f4961eb96707ec284a0"
+      "sha256": "743dd61d88f5a60a06fdf52c75313d9c08ea052f56d671426275f7da055a9cef"
     }
-  ],
-  "proof_ids": [
-    "numina:2db081c3-897e-5d4f-ad02-582ba4457295",
-    "numina:37603035-14ba-5fc9-947b-269d8e4b3402",
-    "numina:710f2c87-12cd-5c67-a8ad-d45dcdd8bedc",
-    "numina:af9ea619-b2a4-50d5-b03e-eb21ac0951e1",
-    "numina:ff0f1fa4-67dc-56e3-9f42-e236b607e2e9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006365.lean\",\"a2393f35e038944a16a8e60055d3ce634e2e0dae9f017ec6d089d4dc094bb970\",0,\"algebra_21638\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006366.lean\",\"9fd45c53ab646513af9c75d5f469199763d2f419ee610fd7577613e78b6d15c2\",0,\"inequalities_600747\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006367.lean\",\"5cc4e5a1e1a49e26014305f67a69443d63449509dc2947fa4316ee032df2636f\",1,\"number_theory_4887_2\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006368.lean\",\"1ca9cb147edbcf0d8b7169d02bae6a2d044d4cafeba8b0d5f95dbd0285fdef3d\",0,\"number_theory_25462\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006369.lean\",\"8ee625397c5f9c5feb17e2a981d15c21666a51c747bc56b4177cba539fd799af\",0,\"algebra_15669\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001274.json b/manifests/batches/numina/001274.json
index 98e34f35761c106261a8b3c892f2edde79480237..c7ddc30379574fe3256e8dca8bfd47c8de005cd2 100644
--- a/manifests/batches/numina/001274.json
+++ b/manifests/batches/numina/001274.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001274",
   "batch_fingerprint": "d8d1e8f7d4e4685d4f80f9e45cdfd1cea78318a97dbf133db38ec0b40e169ade",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001274-0000-7f5381023e349a05.parquet",
-      "sha256": "7f5381023e349a05cc73826dfefd5358c156680fb486b07fe4038870c58cbf71",
-      "bytes": 128908,
-      "rows": 21,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/numina-001274-0000-f94c6f798e8f8b9f.parquet",
-      "sha256": "f94c6f798e8f8b9f41fb452946032080aa87509c475ec3b2acabd2f133909934",
-      "bytes": 56691,
-      "rows": 3,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2748f3f1-9c66-51df-984e-2b0698a47619",
     "numina:98273f65-40eb-5b2a-9fe0-1bfa1feddce5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006372.lean\",\"a36bd738ba45ff8c3fa3826ebf6d058b96cb977dab5d3fd4cb295dd23f779dad\",0,\"number_theory_4890\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006373.lean\",\"0b0a39da77d39b2421a7ff36c62a0d800a77f4444f8854adc6b8b8a45ad797c2\",0,\"inequalities_600748\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006374.lean\",\"d0c3836701575a5d15107768ce69c22033e692ba6c1ebfad287a963b4d4be35f\",0,\"algebra_228260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128908,
+      "path": "data/train/p69/numina-001274-0000-7f5381023e349a05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7f5381023e349a05cc73826dfefd5358c156680fb486b07fe4038870c58cbf71"
+    },
+    {
+      "bytes": 56691,
+      "path": "data/internal_test/p69/numina-001274-0000-f94c6f798e8f8b9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f94c6f798e8f8b9f41fb452946032080aa87509c475ec3b2acabd2f133909934"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001275.json b/manifests/batches/numina/001275.json
index e3077013458fb1a1706028c93e1ceb3ef9a5cfe4..c0174db6c6e2f89f2a10e6ebd8678c0d34e1b7d9 100644
--- a/manifests/batches/numina/001275.json
+++ b/manifests/batches/numina/001275.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001275",
   "batch_fingerprint": "0fd4d308892c8cf19798519481abfb807599ae3956b0250285f9caf0cf8c775d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001275-0000-61186b53fb4a1936.parquet",
-      "sha256": "61186b53fb4a1936359a7f10722a007fc79b5fe43994864ed9e90447d2961c4d",
-      "bytes": 201523,
-      "rows": 21,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d8bef20-4c0b-5e0b-b0de-39e9b6dc95fc",
     "numina:254a92af-9153-56a0-947b-79c07b3a2d6a",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006377.lean\",\"59b6f69206b77efc7d0f96200760eca6f3342a3367fb7cf4d7b20ab826769462\",1,\"number_theory_4892_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006378.lean\",\"9b681b4804bdb2df38db53a1f156958eb3a1df3187b8548db37b85e8cd33065e\",0,\"calculus_12318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006379.lean\",\"93d7b75b4ea1a3570642740487b138414d82a67ec3e00ac3e1624ac965d6ed37\",0,\"number_theory_611130\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201523,
+      "path": "data/train/p93/numina-001275-0000-61186b53fb4a1936.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "61186b53fb4a1936359a7f10722a007fc79b5fe43994864ed9e90447d2961c4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001276.json b/manifests/batches/numina/001276.json
index 4d5a646b63f7c939fb485d47a800930b0b9cf401..0eac8d2322a18973c30800ed2fb966a8827ad7f4 100644
--- a/manifests/batches/numina/001276.json
+++ b/manifests/batches/numina/001276.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001276",
   "batch_fingerprint": "82032e2ca959fb0d048c3de69a3ea26afc6d4a88c5b69ce2c2c6d050c1f5ac22",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001276-0000-a0fb63f834023a8a.parquet",
-      "sha256": "a0fb63f834023a8ab7d4e6d3ad8039d08c29afd028c0144e58a770b8f6ea11a0",
-      "bytes": 472420,
-      "rows": 53,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    },
-    {
-      "path": "data/internal_test/numina-001276-0000-4e5ad67635a67764.parquet",
-      "sha256": "4e5ad67635a67764d056fe08e6c71ba1bc673e9f038a6861787e4272b3df95a3",
-      "bytes": 49809,
-      "rows": 5,
-      "revision": "f9702eae31c7c8d678f4d876a51cbafb74802414"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3395ed90-bc52-5837-8489-65f5fdedfd38",
     "numina:3e8e8708-8785-5e27-bea9-f9f28ccff7f6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006382.lean\",\"13f7f19f4762383cc098c6242c00d786eeb4a5d6852a9b18dc2d4fc0d04cf46f\",0,\"number_theory_53666\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006383.lean\",\"fa000964b393b0cd0daafe3fe7a57257659e79773365ea0f75891cc90b7b0e7c\",0,\"algebra_21644\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006384.lean\",\"47aabd58aa0e86d3b3330f6ff6b8b4b2bf57d50681334dc0e73ee0ec5d3d334c\",0,\"number_theory_4902\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 472420,
+      "path": "data/train/p18/numina-001276-0000-a0fb63f834023a8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "a0fb63f834023a8ab7d4e6d3ad8039d08c29afd028c0144e58a770b8f6ea11a0"
+    },
+    {
+      "bytes": 49809,
+      "path": "data/internal_test/p18/numina-001276-0000-4e5ad67635a67764.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4e5ad67635a67764d056fe08e6c71ba1bc673e9f038a6861787e4272b3df95a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001277.json b/manifests/batches/numina/001277.json
index f8a0e00b409e8c6a93c4faca3c902f8f3d3520ed..f0fd51c06020c92256a8f8bbf1b0ea05cabe3b71 100644
--- a/manifests/batches/numina/001277.json
+++ b/manifests/batches/numina/001277.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001277",
   "batch_fingerprint": "15b37e4bdb8118ea3d7cf633142bfa83ee54fadaedab1af5ba456a952149ad36",
   "evidence": {
@@ -51,22 +50,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001277-0000-ddba21acd870ecff.parquet",
-      "sha256": "ddba21acd870ecff10fbea80cf67fbd5ffae3ea0acc18cfb1943f0308b929642",
-      "bytes": 139246,
-      "rows": 32,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001277-0000-97bf10cc94edc447.parquet",
-      "sha256": "97bf10cc94edc4470d7768e80ff1cc0fee5cfd02aa90c1deaacb24aec5133296",
-      "bytes": 409982,
-      "rows": 22,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0739756b-4908-5506-ab0b-4c622427a370",
     "numina:2aafab31-0305-5a63-9d16-8c2d12ec4643",
@@ -78,5 +62,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006386.lean\",\"285ae49c2deabc7e9fb04154b7c7f053ad524baa49864837effdb4618a367616\",0,\"number_theory_607548\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006387.lean\",\"75e381676c0495318da10d0ca51c7cfd6240084652ad84b9bf7a3f105ce13474\",0,\"algebra_611140\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006388.lean\",\"0a694c6053e41434acf984717cf8d6ecf0c0d9d3cb55597db90f5cb86d347650\",0,\"algebra_95437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139246,
+      "path": "data/train/p25/numina-001277-0000-ddba21acd870ecff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "ddba21acd870ecff10fbea80cf67fbd5ffae3ea0acc18cfb1943f0308b929642"
+    },
+    {
+      "bytes": 409982,
+      "path": "data/internal_test/p25/numina-001277-0000-97bf10cc94edc447.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "97bf10cc94edc4470d7768e80ff1cc0fee5cfd02aa90c1deaacb24aec5133296"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001278.json b/manifests/batches/numina/001278.json
index 41e0cb0b4ff23e25b25281f43dbf39f84f8c6280..8aa7c5923e2b9e2e45e5023052ac294019cae807 100644
--- a/manifests/batches/numina/001278.json
+++ b/manifests/batches/numina/001278.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001278",
   "batch_fingerprint": "95e34d315c4617414a94877f64b2e4c0bffdd728ed06c511af1c0b853015002e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001278-0000-378eb47c3df2bb40.parquet",
-      "sha256": "378eb47c3df2bb40efe6781380832cdfa956746d6dd0e96d42552a4cec65398f",
-      "bytes": 404775,
-      "rows": 33,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/numina-001278-0000-85f28b2e434712a6.parquet",
-      "sha256": "85f28b2e434712a63da3d43ec15d33c05b4a8e7bb9bb833200645c65538b3a98",
-      "bytes": 263673,
-      "rows": 8,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e679d35-cb85-51b3-bebe-f805308ef20e",
     "numina:33eb583f-8efa-5650-8e7e-5b04a0a32fb2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006392.lean\",\"95a13e5ad089426d73a085b19985861618967c7e28034ec7eb85a22f5ae489ac\",0,\"algebra_12234\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006393.lean\",\"f64f752008470be2ea80588c6b445606a8047f853ffb5300434599adbc1a1cca\",0,\"algebra_613067\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006394.lean\",\"3308d85de4294709db532c5cc6b20236aa1c13f52529e17ea3c95014859457b6\",0,\"algebra_95404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404775,
+      "path": "data/train/pab/numina-001278-0000-378eb47c3df2bb40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "378eb47c3df2bb40efe6781380832cdfa956746d6dd0e96d42552a4cec65398f"
+    },
+    {
+      "bytes": 263673,
+      "path": "data/dev/pab/numina-001278-0000-85f28b2e434712a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "85f28b2e434712a63da3d43ec15d33c05b4a8e7bb9bb833200645c65538b3a98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001279.json b/manifests/batches/numina/001279.json
index 09420f7757de062ee02284994948b11ca098a01d..ee99a7a6d9c4ec215383ff6747e5eb74f9df1d0e 100644
--- a/manifests/batches/numina/001279.json
+++ b/manifests/batches/numina/001279.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001279",
   "batch_fingerprint": "f0e15357fe96704795d58f7fccf4ae71188b5ec4d179f5ddad108cca22e106e0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001279-0000-321ce3e27e964493.parquet",
-      "sha256": "321ce3e27e9644935a02a18179a143a840ad9694e9a9b81bcb62c5718dc24c47",
-      "bytes": 324160,
-      "rows": 22,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001279-0000-c828cadcacf09dbf.parquet",
-      "sha256": "c828cadcacf09dbfe6721b1edcbb308058bc69ea5f2bcc1a651e1214327a3f93",
-      "bytes": 85847,
-      "rows": 5,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2609a326-2d1a-5c8c-a74c-94c5b2231f8c",
     "numina:403d2b33-8ae4-5a44-8cc0-1a6594f8b682",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006397.lean\",\"c314138d9985b6d1f8de0474091255f11ea262ab1560a36863bfc90bb9a09a0c\",0,\"inequalities_319497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006398.lean\",\"e6e8e91f0587267151f39dd69aca2e23fd2abda64155a9899f80529ca38fc445\",1,\"number_theory_5004\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006399.lean\",\"58b8c34229eae79ce699c9b1004eaf546f20e7866ba8e56f2e769c7a1efb0cc4\",0,\"algebra_24524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324160,
+      "path": "data/train/p66/numina-001279-0000-321ce3e27e964493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "321ce3e27e9644935a02a18179a143a840ad9694e9a9b81bcb62c5718dc24c47"
+    },
+    {
+      "bytes": 85847,
+      "path": "data/internal_test/p66/numina-001279-0000-c828cadcacf09dbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c828cadcacf09dbfe6721b1edcbb308058bc69ea5f2bcc1a651e1214327a3f93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001280.json b/manifests/batches/numina/001280.json
index 87f115c522b37b56af313cd7c85febff9634fde5..9599d1b7d450e40e828b5b0f2f718f1823dedc59 100644
--- a/manifests/batches/numina/001280.json
+++ b/manifests/batches/numina/001280.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001280",
   "batch_fingerprint": "863861557c18df2f35cd89c90908baf3ebe8881bc776100472174a873608dda9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001280-0000-fb74099eafa656da.parquet",
-      "sha256": "fb74099eafa656dab8ee1caaefcd373f43615b393444ffd9f590f8495823e137",
-      "bytes": 305666,
-      "rows": 31,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04c5bf83-7ba8-5d4c-bfcb-ee389e668336",
     "numina:0e1219dc-5e70-58d8-b399-e4fb4cbcf4ed",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006402.lean\",\"6194074a2484ca9d8c8b2afcb29914df3854b901d6e591a1d7c7b4ad4ed5352a\",0,\"algebra_231075\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006403.lean\",\"d1e9a67e64350d1946505e0a22bed824fe706ec8a8cc6dc2b69e51fab385f4dd\",0,\"algebra_6154\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006404.lean\",\"09d3a4881955b86fc167f81238dd2f2ad5ef6e5c7a6fbb840b6a05090ea53923\",0,\"algebra_95405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305666,
+      "path": "data/train/p02/numina-001280-0000-fb74099eafa656da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "fb74099eafa656dab8ee1caaefcd373f43615b393444ffd9f590f8495823e137"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001281.json b/manifests/batches/numina/001281.json
index 48a6b66e50dfc976e2b2ef515545bf4c293b02c8..637ec502f060e53df85e517ab572f29ce442a00f 100644
--- a/manifests/batches/numina/001281.json
+++ b/manifests/batches/numina/001281.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001281",
   "batch_fingerprint": "d073e86258f064cfdfef5993e1a7906134ebe0c7d4138a6aa75aaf8a12644435",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001281-0000-1b2ac3f31a517629.parquet",
-      "sha256": "1b2ac3f31a517629ce0543acf80ac2647bb6dace1b8dda89b54643fd3ed96f3c",
-      "bytes": 312350,
-      "rows": 15,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001281-0000-077e25cbc4ba71b8.parquet",
-      "sha256": "077e25cbc4ba71b812a3b9d02fe95234925c93927bc1f1882c27ca6671021be7",
-      "bytes": 78629,
-      "rows": 16,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13ea55a4-d60b-5f34-9a80-a2834adb9122",
     "numina:77cdd95e-f86b-5340-bedd-6181baf98c42",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006407.lean\",\"5b2e5f9e6f3f0a6debf791ebfdf3de9b1ab82746badd1b962beefc0e33dc374e\",0,\"inequalities_214303\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006408.lean\",\"d2486a67748a43085c2c05e7b38ccbee3515f1e52b326565f4d29355da74cc2a\",0,\"inequalities_319945\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006409.lean\",\"8099ec1221b3ead0b9e30e6019d1112362200adc554dc3f37b3969cb1ea9d367\",0,\"number_theory_94822\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312350,
+      "path": "data/train/p73/numina-001281-0000-1b2ac3f31a517629.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1b2ac3f31a517629ce0543acf80ac2647bb6dace1b8dda89b54643fd3ed96f3c"
+    },
+    {
+      "bytes": 78629,
+      "path": "data/internal_test/p73/numina-001281-0000-077e25cbc4ba71b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "077e25cbc4ba71b812a3b9d02fe95234925c93927bc1f1882c27ca6671021be7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001282.json b/manifests/batches/numina/001282.json
index ab29eef3b78b7dc5c546b3a377aa7dc089a9282b..a4f1e7356e33d3aa9753528ed2eddb7859da616e 100644
--- a/manifests/batches/numina/001282.json
+++ b/manifests/batches/numina/001282.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001282",
   "batch_fingerprint": "8c4e27068057e9a649a064341fde40cc0b5184b7b50e228400abf85215f410b4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001282-0000-6519ce8734e0997d.parquet",
-      "sha256": "6519ce8734e0997dc21b0e4e043dee01bdf06b0a3c0947f5b17fa39e64a653b7",
-      "bytes": 229741,
-      "rows": 25,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001282-0000-504582ef09b4aca6.parquet",
-      "sha256": "504582ef09b4aca6f9940349868391e0ebbdcc4edf351ed6139bb6f3334b0c63",
-      "bytes": 57779,
-      "rows": 14,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:ba387b33-165c-5860-9769-67f8f17a8e04",
     "numina:c6a13d04-f8b0-545d-8750-a6cbfa66d4f1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006412.lean\",\"803b44eea8646ea0a784e81b3c24ff913be3f3c191917311661f24810649bc24\",0,\"number_theory_161523\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006413.lean\",\"cbd276eeb254e8ab31954bee1440a4328d7b17eb5be641a3d7f17ca6275b4cf0\",0,\"algebra_9201\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006414.lean\",\"b08dc5a55222c7ea63f22007341729cc0557a412ee29533c0914ad16349d8fe0\",0,\"algebra_275734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229741,
+      "path": "data/train/pad/numina-001282-0000-6519ce8734e0997d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "6519ce8734e0997dc21b0e4e043dee01bdf06b0a3c0947f5b17fa39e64a653b7"
+    },
+    {
+      "bytes": 57779,
+      "path": "data/internal_test/pad/numina-001282-0000-504582ef09b4aca6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "504582ef09b4aca6f9940349868391e0ebbdcc4edf351ed6139bb6f3334b0c63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001283.json b/manifests/batches/numina/001283.json
index af78aa93e6874da19c30419bb3b859160e970f90..d413e32f19f9a2b5a3d4b09b33132d42460ef695 100644
--- a/manifests/batches/numina/001283.json
+++ b/manifests/batches/numina/001283.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001283",
   "batch_fingerprint": "eff050cd4c569c1dcc4aa764ebab2af4b80a460fab5f7a0f81ca4a0525babf76",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001283-0000-e6ecd0c1e205b55c.parquet",
-      "sha256": "e6ecd0c1e205b55cedf64b4b0f60f84ef6db0c834e77f0b286b09f137b0f3ac5",
-      "bytes": 249835,
-      "rows": 31,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001283-0000-96e88c838233b993.parquet",
-      "sha256": "96e88c838233b993855e0e0ded109003952a4eaf1cd9dbe8ddf9a034ba09cade",
-      "bytes": 121711,
-      "rows": 6,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3ae19d99-622d-5357-903f-ef78ff40d834",
     "numina:759ab3a2-8527-503c-a362-1eac9d292b97",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006417.lean\",\"c4bbbab94ed952d9478f2e968a9f81f0ea764468b5bb8fecdee50be4f8daba39\",0,\"algebra_213309\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006418.lean\",\"7027ea14b94f35c7e665f756248788acb686150ee54f088db6e363935e2b56b2\",0,\"algebra_98652\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006419.lean\",\"8902009f60d84a47f7d7cebfccdfe6aa913e80f2fe05f93df1906f30a54aa96b\",0,\"algebra_21393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249835,
+      "path": "data/train/pf0/numina-001283-0000-e6ecd0c1e205b55c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e6ecd0c1e205b55cedf64b4b0f60f84ef6db0c834e77f0b286b09f137b0f3ac5"
+    },
+    {
+      "bytes": 121711,
+      "path": "data/internal_test/pf0/numina-001283-0000-96e88c838233b993.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "96e88c838233b993855e0e0ded109003952a4eaf1cd9dbe8ddf9a034ba09cade"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001284.json b/manifests/batches/numina/001284.json
index c35f105cd7b7591f640f46fec7ebecaa85537684..4016eb219a50f68abcefa967c324d0dfc0473e0a 100644
--- a/manifests/batches/numina/001284.json
+++ b/manifests/batches/numina/001284.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001284",
   "batch_fingerprint": "7b9142ce71d67576e1f3d3b49885b2a9f16a40a69f06a441b2a3f027373ef7ae",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001284-0000-23d8b6972f6aa0d0.parquet",
-      "sha256": "23d8b6972f6aa0d029383ba64c990839f590e2a856c76767911c77969bf8d547",
-      "bytes": 521194,
-      "rows": 33,
-      "revision": "85fa302f9a3c1fc6b88b8dc68181680ea5ca57c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57bacd14-6983-5a19-80d0-4cd18c3e9bb8",
     "numina:5bb28d29-2a3c-504a-adab-1f2bf200baca",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006422.lean\",\"6c54167088e4e1c3ccd161201e88c361519f0f728e7f418a015f7311e5387751\",0,\"number_theory_205510\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006423.lean\",\"bb773a93d8c0fb19b4db963ce31a981494e42f066f317a0130188554277eb37d\",0,\"algebra_9203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006424.lean\",\"5927183c3a244c4bdf5b09856862d3075889ccd06cbd7fc6c6564e8a0b8b4aba\",0,\"number_theory_229320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521194,
+      "path": "data/train/pa1/numina-001284-0000-23d8b6972f6aa0d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "23d8b6972f6aa0d029383ba64c990839f590e2a856c76767911c77969bf8d547"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001285.json b/manifests/batches/numina/001285.json
index c8dfda806bb07ef6f9bc0e303b62bce6601c8ccf..272f2fde42572797171fd836ceb635a3e7458cb3 100644
--- a/manifests/batches/numina/001285.json
+++ b/manifests/batches/numina/001285.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001285",
   "batch_fingerprint": "b398847f18de573d81a0eb17847a4973bc20bf84c97b9a3bd5186139978af599",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001285-0000-8704bac38ea4bd17.parquet",
-      "sha256": "8704bac38ea4bd17606371079a6eb636a6f8008c2f30f752dd5b841b9bd08b42",
-      "bytes": 458402,
-      "rows": 22,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001285-0000-d6422f938c6ff397.parquet",
-      "sha256": "d6422f938c6ff397222c56c5e9db997fa27c54a3eb7fb3390c768a8eea96c674",
-      "bytes": 289496,
-      "rows": 12,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6623b16d-cc5e-53d0-b784-3013ab2e8642",
     "numina:786ef103-9389-5d81-b938-17ca09e82f47",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006427.lean\",\"a87bdda5b73b96c906a649f71ed1d47a040ca9c211eed67bd2289fdd64f1bdc4\",0,\"number_theory_98658\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006428.lean\",\"60007c63871ebdf9795580d6381cf0f08d2547ff5cfcc283502883dfbd0bf459\",0,\"algebra_21394\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006429.lean\",\"3dadeee9ea675b0155830c94c84f86cf889d3f39afc5b73475b2c463bdd3e0c6\",0,\"algebra_604165\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 458402,
+      "path": "data/train/p0f/numina-001285-0000-8704bac38ea4bd17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "8704bac38ea4bd17606371079a6eb636a6f8008c2f30f752dd5b841b9bd08b42"
+    },
+    {
+      "bytes": 289496,
+      "path": "data/internal_test/p0f/numina-001285-0000-d6422f938c6ff397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d6422f938c6ff397222c56c5e9db997fa27c54a3eb7fb3390c768a8eea96c674"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001286.json b/manifests/batches/numina/001286.json
index 0e371b08916a65a3f1fca75c84aef96603879739..f23edffaad80118dbbbb900a75340e93a3e0a9e3 100644
--- a/manifests/batches/numina/001286.json
+++ b/manifests/batches/numina/001286.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001286",
   "batch_fingerprint": "ff38751a429a47a8ddf3cde9dc83fb16eeea35c2e4eeacd1b8c8097bf939109c",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001286-0000-4f6b2909b4e3584e.parquet",
-      "sha256": "4f6b2909b4e3584eb292423f73cfcf81fa9107003797af2421038c99e9ff3f5c",
-      "bytes": 295979,
-      "rows": 42,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/dev/numina-001286-0000-7472035638408d18.parquet",
-      "sha256": "7472035638408d180ad99ff5740ba937a7090a4dfad940d626e882347969ab5c",
-      "bytes": 42075,
-      "rows": 3,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    },
-    {
-      "path": "data/internal_test/numina-001286-0000-265ed1630dcf6022.parquet",
-      "sha256": "265ed1630dcf60221370ea4ee765da5ff1634ee527175a49f2b4d2dd242c2ee3",
-      "bytes": 132137,
-      "rows": 21,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:540232c9-fedf-57ca-aea9-9a4b4c2f1542",
     "numina:5e8ddb34-8611-583b-83ae-7fa00d38bc3a",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006432.lean\",\"5bda7cf44b17dc200207aaa5f1fdc72fc306e5400884be1b72202d6fdf503deb\",0,\"algebra_3844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006433.lean\",\"b7e25f2f993782e4e5b00412e0ec6f3705df6c3ff6c442f2649bd5b0472e6436\",0,\"algebra_239857\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006434.lean\",\"12c8e8152ce1db33a8e4b285ff6bf5c50db751090728ddbb1fdc3c1e19d0cd04\",0,\"number_theory_4777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295979,
+      "path": "data/train/pc6/numina-001286-0000-4f6b2909b4e3584e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "4f6b2909b4e3584eb292423f73cfcf81fa9107003797af2421038c99e9ff3f5c"
+    },
+    {
+      "bytes": 42075,
+      "path": "data/dev/pc6/numina-001286-0000-7472035638408d18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7472035638408d180ad99ff5740ba937a7090a4dfad940d626e882347969ab5c"
+    },
+    {
+      "bytes": 132137,
+      "path": "data/internal_test/pc6/numina-001286-0000-265ed1630dcf6022.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "265ed1630dcf60221370ea4ee765da5ff1634ee527175a49f2b4d2dd242c2ee3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001287.json b/manifests/batches/numina/001287.json
index edde5d633aef2d6ecd068716fd811defbf8313dd..b948885555d4b4ebbdd696d375575767350688b4 100644
--- a/manifests/batches/numina/001287.json
+++ b/manifests/batches/numina/001287.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001287",
   "batch_fingerprint": "265a1e548569aa3ad2ef60b586d7be2fbe7740a8e09d88db09ea9878c85490ab",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001287-0000-1ace676af0820f55.parquet",
-      "sha256": "1ace676af0820f55c88048c05d5bbc4f9292ca592751b433e74adefd18dbda18",
-      "bytes": 225421,
-      "rows": 33,
-      "revision": "84270793c6874e2a9028c20c019f362f3fed890b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31fd7bcb-400d-5b36-b33c-6cb5c2d0fa67",
     "numina:4a3967ad-cc97-5348-96c7-9e2c32c409c6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006437.lean\",\"b392e1067eb7f42b0694d08c606704f9720969e3a85ffd7a1d05ab0150f69b3f\",0,\"algebra_94620\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006438.lean\",\"e4cf91da0fb0780086a2396b4135e67c188a19df10af0391fc0fadc43f4aced9\",0,\"algebra_196873\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006439.lean\",\"eee567386c1febb57d659e9df2969c09a8efcba28df96c591d64cf5b9114a895\",0,\"inequalities_604174\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225421,
+      "path": "data/train/pd2/numina-001287-0000-1ace676af0820f55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1ace676af0820f55c88048c05d5bbc4f9292ca592751b433e74adefd18dbda18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001288.json b/manifests/batches/numina/001288.json
index eee9c02cfcd800a9e7651aa70b61522c700afd57..585dabf922eb81af294c269f51529ac6146568f3 100644
--- a/manifests/batches/numina/001288.json
+++ b/manifests/batches/numina/001288.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001288",
   "batch_fingerprint": "a1eda39438406834a1dd91cbbe537f6ab4ea6f6ded38c2c92909696c51832faf",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:070c0d6f-0d72-5ea8-bf6a-c06a042e8e05",
+    "numina:1d87f715-f61d-540c-bd6f-a4c0b6d6eb38",
+    "numina:750eef06-129f-561b-a567-9c1ee36020e6",
+    "numina:a362d858-8276-56ef-9dc9-3c2c465a4039"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006440.lean\",\"5fb4388c68edaeaad9f6faeea50d4c01db7ae546469871765c5c2bac390e86df\",0,\"number_theory_94854\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006442.lean\",\"a4d33c117123d739f77fb946a7a1ac7875db97808da93a04508c2949124e2b2b\",0,\"inequalities_321740\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006443.lean\",\"26c95b890ba993244772b8996f16f0d7ea2c5ff20e93a4655786b567eb7d5c6a\",0,\"number_theory_19081\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006444.lean\",\"684928cc0d3b1a3406548d938c1c68069985bc3b7594eda800a58e0cc7c8a890\",0,\"algebra_196918\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001288-0000-5fb38f72157c821b.parquet",
-      "sha256": "5fb38f72157c821b22857e703a59055f7d499477ceef00b99f658b2d5f56ae94",
       "bytes": 677848,
+      "path": "data/train/pfd/numina-001288-0000-5fb38f72157c821b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 31,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "5fb38f72157c821b22857e703a59055f7d499477ceef00b99f658b2d5f56ae94"
     },
     {
-      "path": "data/train/numina-001288-0001-0e5f27e9d4595ff5.parquet",
-      "sha256": "0e5f27e9d4595ff5629c789d69d468178e0472174ced402aef9e234c89327297",
       "bytes": 550520,
+      "path": "data/train/pfd/numina-001288-0001-0e5f27e9d4595ff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "0e5f27e9d4595ff5629c789d69d468178e0472174ced402aef9e234c89327297"
     },
     {
-      "path": "data/dev/numina-001288-0000-99c7e99af4c47072.parquet",
-      "sha256": "99c7e99af4c47072b64b31fd2d4a30482076ae8ce773ca3f09cf612db5d247a8",
       "bytes": 136629,
+      "path": "data/dev/pfd/numina-001288-0000-99c7e99af4c47072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
+      "sha256": "99c7e99af4c47072b64b31fd2d4a30482076ae8ce773ca3f09cf612db5d247a8"
     }
-  ],
-  "proof_ids": [
-    "numina:070c0d6f-0d72-5ea8-bf6a-c06a042e8e05",
-    "numina:1d87f715-f61d-540c-bd6f-a4c0b6d6eb38",
-    "numina:750eef06-129f-561b-a567-9c1ee36020e6",
-    "numina:a362d858-8276-56ef-9dc9-3c2c465a4039"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006440.lean\",\"5fb4388c68edaeaad9f6faeea50d4c01db7ae546469871765c5c2bac390e86df\",0,\"number_theory_94854\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006442.lean\",\"a4d33c117123d739f77fb946a7a1ac7875db97808da93a04508c2949124e2b2b\",0,\"inequalities_321740\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006443.lean\",\"26c95b890ba993244772b8996f16f0d7ea2c5ff20e93a4655786b567eb7d5c6a\",0,\"number_theory_19081\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006444.lean\",\"684928cc0d3b1a3406548d938c1c68069985bc3b7594eda800a58e0cc7c8a890\",0,\"algebra_196918\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001289.json b/manifests/batches/numina/001289.json
index 8fa24a50d1ac335d0f0af0a3032fbc3a1baef695..9b357d1bde9643031d199d29ea7365b26d7b9809 100644
--- a/manifests/batches/numina/001289.json
+++ b/manifests/batches/numina/001289.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001289",
   "batch_fingerprint": "0af76a90325c145025e3563719a4bf2170d363d6ebca6c207bfd83c5cfaef208",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001289-0000-e15ca88b7e99829a.parquet",
-      "sha256": "e15ca88b7e99829a9c3a070423663e89d27d906a2f330ab5ea4b956d32be8c47",
-      "bytes": 217280,
-      "rows": 24,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    },
-    {
-      "path": "data/train/numina-001289-0001-36277ce379c542e1.parquet",
-      "sha256": "36277ce379c542e1a219386aa1eae6cacb16f2d90685ffa7c9c39778fa078fa2",
-      "bytes": 3304506,
-      "rows": 1,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    },
-    {
-      "path": "data/train/numina-001289-0002-8d676fb98bead409.parquet",
-      "sha256": "8d676fb98bead409f5480b09b005d96c7f4d93e84a417d08e5ce29d5a1f1bb2b",
-      "bytes": 245132,
-      "rows": 27,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c304a72-7cf9-5cbc-9826-e1241c995842",
     "numina:4cd97ab9-6970-5d06-9ffb-c65f1d1a2670",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006447.lean\",\"2f6f3ea9c50d7a22282ac5c6f7071c052e317e7703ef1d373c1181652b3fa30c\",0,\"algebra_321795\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006448.lean\",\"5d909345063f691cef93ce2801d5094dfae9b2894b40adba668cdacb6dff343f\",0,\"number_theory_4792\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006449.lean\",\"eac85eb63dcbc22ba27382a02df19a59969c49134f1b629cf551a18f6673db43\",0,\"algebra_8544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217280,
+      "path": "data/train/p72/numina-001289-0000-e15ca88b7e99829a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "e15ca88b7e99829a9c3a070423663e89d27d906a2f330ab5ea4b956d32be8c47"
+    },
+    {
+      "bytes": 3304506,
+      "path": "data/train/p72/numina-001289-0001-36277ce379c542e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "36277ce379c542e1a219386aa1eae6cacb16f2d90685ffa7c9c39778fa078fa2"
+    },
+    {
+      "bytes": 245132,
+      "path": "data/train/p72/numina-001289-0002-8d676fb98bead409.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8d676fb98bead409f5480b09b005d96c7f4d93e84a417d08e5ce29d5a1f1bb2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001290.json b/manifests/batches/numina/001290.json
index e08e1536185655d69d92730816b084320e183fe8..a92faa0c7dd31e76ae074b96144d2966d0f52cd4 100644
--- a/manifests/batches/numina/001290.json
+++ b/manifests/batches/numina/001290.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001290",
   "batch_fingerprint": "106cd0a1a61fd2644c22c3e86b748885279abc91bcaaba076157b9c40e82eb6e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001290-0000-476030accb93833c.parquet",
-      "sha256": "476030accb93833c1ed597441ea259844e2ff93b312160558174b161fb6eaed2",
-      "bytes": 278626,
-      "rows": 33,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11d66911-71b8-5e58-8793-845a30b853f6",
     "numina:62b6e279-c59c-5d40-9fff-5ad3b97b4dfc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006452.lean\",\"43bc4b22ce0a02e33c38b847e76a3e2166c122c220553e4779bfb481be7fd557\",0,\"inequalities_98684\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006453.lean\",\"f6af9542418064057abfd89ebd668cffc8a32450f5ab4943b567e0bff13756c7\",0,\"inequalities_80941\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006454.lean\",\"18ba4b11fbad5b2088078f7141710104b3a0edaebdec8bcd6777641a29958bf8\",0,\"algebra_21454\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278626,
+      "path": "data/train/pdd/numina-001290-0000-476030accb93833c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "476030accb93833c1ed597441ea259844e2ff93b312160558174b161fb6eaed2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001291.json b/manifests/batches/numina/001291.json
index a31b85494bfe6a33683ba0801fd99992ba6d5162..cbf6c09ba48dea9ef4c8c3656a8ed9976328c300 100644
--- a/manifests/batches/numina/001291.json
+++ b/manifests/batches/numina/001291.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001291",
   "batch_fingerprint": "a9cfb09054ccd8034803fc44fad911fd0378291d5284c7309eb1f088df8607ba",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001291-0000-d18983e0f5d332eb.parquet",
-      "sha256": "d18983e0f5d332eb56b536690fb70d2a7f8844fe8a87b5130f8e69007d929858",
-      "bytes": 733179,
-      "rows": 45,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    },
-    {
-      "path": "data/train/numina-001291-0001-4a7fdb094e187a79.parquet",
-      "sha256": "4a7fdb094e187a791bee96d04fe3ade0070df98be44d9641401633c4d8a407f8",
-      "bytes": 368644,
-      "rows": 40,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    },
-    {
-      "path": "data/internal_test/numina-001291-0000-0a2fcf015a355c55.parquet",
-      "sha256": "0a2fcf015a355c55ec37970da61e34415cedb0c97198e229d6d1e6897b85b05e",
-      "bytes": 97664,
-      "rows": 13,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1802eaf1-5953-5600-a71f-83825f9415ea",
     "numina:3f5a7e98-74e9-5678-8357-51e2eea27b3d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006457.lean\",\"07cc897d5453db28088e7623a2cb444df4af4dcc9657a3d606c15de3bc730214\",0,\"inequalities_606006\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006458.lean\",\"20dfbb2dd6d0f21e39da4c57b229bfdc12fe97471e063e4ec6bce4748b7aadc8\",0,\"number_theory_4808\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006459.lean\",\"49bcfb47f359556855f599384fd44cb5989b2820a1788120a75de39dd0b6c728\",0,\"algebra_8568\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 733179,
+      "path": "data/train/pf7/numina-001291-0000-d18983e0f5d332eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "d18983e0f5d332eb56b536690fb70d2a7f8844fe8a87b5130f8e69007d929858"
+    },
+    {
+      "bytes": 368644,
+      "path": "data/train/pf7/numina-001291-0001-4a7fdb094e187a79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "4a7fdb094e187a791bee96d04fe3ade0070df98be44d9641401633c4d8a407f8"
+    },
+    {
+      "bytes": 97664,
+      "path": "data/internal_test/pf7/numina-001291-0000-0a2fcf015a355c55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0a2fcf015a355c55ec37970da61e34415cedb0c97198e229d6d1e6897b85b05e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001292.json b/manifests/batches/numina/001292.json
index f36bb95a04c1b5157b1a6577d5bcd09c73b98c66..4240b7bac4deed1064cebdf9866e4edad6a6c2f8 100644
--- a/manifests/batches/numina/001292.json
+++ b/manifests/batches/numina/001292.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001292",
   "batch_fingerprint": "837c7829402213a3acc40b6de3acdcbb71e0f0c28edaa21061f5ed0559fbdf01",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001292-0000-bb53706252d6dfa6.parquet",
-      "sha256": "bb53706252d6dfa6f763184bb7a3ad10bf8b01e2a54013d4ee948938a4f4fab2",
-      "bytes": 216478,
-      "rows": 16,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/dev/numina-001292-0000-3a323714f21dbbed.parquet",
-      "sha256": "3a323714f21dbbede163c61f555815f45b6d077df0405785aee970cdeffcbdee",
-      "bytes": 102784,
-      "rows": 8,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55b8ecf1-98fa-55cd-91d5-82e64aed1cef",
     "numina:5ce6975b-7df8-5ead-9a41-a680c7a63cb8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006462.lean\",\"99e2a1c9fbe2a23db004dd9340e1596140613c10d2f6e4aef4b4c3a337bcb5d2\",0,\"algebra_21456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006463.lean\",\"14b12e4b5d33c9e5ae582ae9f2302ba07ca3141ca9eef9a5c0f7f629974791f4\",0,\"inequalities_254716\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006464.lean\",\"afbb2e33f0d95f3824d59066256f1f9d4930d1dc5d22f6bf01a2b6d7e4fd8ecb\",0,\"Other_4663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216478,
+      "path": "data/train/p9c/numina-001292-0000-bb53706252d6dfa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bb53706252d6dfa6f763184bb7a3ad10bf8b01e2a54013d4ee948938a4f4fab2"
+    },
+    {
+      "bytes": 102784,
+      "path": "data/dev/p9c/numina-001292-0000-3a323714f21dbbed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3a323714f21dbbede163c61f555815f45b6d077df0405785aee970cdeffcbdee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001293.json b/manifests/batches/numina/001293.json
index dcf5cc9f36868042536ae90422b0f70b684e58d3..e399a2aff56a982fa38d2aac297cfb069af5ad79 100644
--- a/manifests/batches/numina/001293.json
+++ b/manifests/batches/numina/001293.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001293",
   "batch_fingerprint": "c69c5ace41d6b90bf04e8b540986e739dd71080998f391c372a9fdfbac26cff1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001293-0000-5252c9e1a60c8bbc.parquet",
-      "sha256": "5252c9e1a60c8bbc11ddf952c28444aa551c31f34b6b6ce9d6b394e15a18c852",
-      "bytes": 552382,
-      "rows": 26,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/dev/numina-001293-0000-246981c93c5daa49.parquet",
-      "sha256": "246981c93c5daa4963b47eb899eaf5a3b48500f064e6fb6861b6a9046a7bbdc4",
-      "bytes": 31777,
-      "rows": 5,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e77e415-4c8b-53e5-b4ed-e42d28a53685",
     "numina:19a0748d-4ad0-5462-a1a0-e0d12a040319",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006467.lean\",\"7978ea8a5506d110114d2140576632d76fc1edb0c384d0e41ccb32801453be17\",0,\"number_theory_4810\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006468.lean\",\"b980061d90839f37c6f4e536721a4c9cf6364f2a806a22603436ec79598bdb57\",0,\"number_theory_609861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006469.lean\",\"a3bece39d7d740fbae1d3a945720fa6d80f85c295223baa9e57533210cfa0440\",0,\"algebra_19287\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552382,
+      "path": "data/train/pfb/numina-001293-0000-5252c9e1a60c8bbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "5252c9e1a60c8bbc11ddf952c28444aa551c31f34b6b6ce9d6b394e15a18c852"
+    },
+    {
+      "bytes": 31777,
+      "path": "data/dev/pfb/numina-001293-0000-246981c93c5daa49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "246981c93c5daa4963b47eb899eaf5a3b48500f064e6fb6861b6a9046a7bbdc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001294.json b/manifests/batches/numina/001294.json
index 5bfc22bbb73597fb08d4cd32c74f1d50d5e6fe4c..de7620189b3bf41d2c56cb62fe0e36e1e2526278 100644
--- a/manifests/batches/numina/001294.json
+++ b/manifests/batches/numina/001294.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001294",
   "batch_fingerprint": "78ccf3e87ffa99525e9760ece3ac2f0c1c6be16e7d76a616f47b49c4600d26ba",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001294-0000-bdea0a6e4e799e7f.parquet",
-      "sha256": "bdea0a6e4e799e7fba2b88267c4e50f84a6bcac0864c492ca7f06869e816eb9e",
-      "bytes": 169203,
-      "rows": 30,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e994b69-d9c0-503f-b432-0d75c4114e91",
     "numina:34981a97-6ecb-5d9c-8c0a-441e8d89d4d8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006472.lean\",\"7bc8b5094a55aa444dca811d7d7a2b16fd3c358ffe2131f430ac85ab5f4a775c\",0,\"algebra_9453\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006473.lean\",\"0e36e23b42285a206f193f271388d7f9f7ecf54905fe085f2f429f7bf890c6f3\",0,\"number_theory_19288\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006474.lean\",\"3d16391ef556980af05758b69afe3f5164fe7bb03ca94c8a4ab2df351397474e\",0,\"inequalities_129768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169203,
+      "path": "data/train/pda/numina-001294-0000-bdea0a6e4e799e7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "bdea0a6e4e799e7fba2b88267c4e50f84a6bcac0864c492ca7f06869e816eb9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001295.json b/manifests/batches/numina/001295.json
index 17a4ef5a8bad3d5cc60f826a38dacb857bbf4858..e36e686c347411fb833ba44b46abca024d0ac068 100644
--- a/manifests/batches/numina/001295.json
+++ b/manifests/batches/numina/001295.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001295",
   "batch_fingerprint": "4fbc906883929b2c0a213f92fbf51d2e74f115687082d708b8d38c9d3a9741ac",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001295-0000-7a2097b28b69336d.parquet",
-      "sha256": "7a2097b28b69336dd8ed1e8c99e0352da8b42a222ae783bddc5b35ae14cd72ee",
-      "bytes": 407701,
-      "rows": 31,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7d0cb0d9-cd85-5e30-954d-447d5671e6ac",
     "numina:80947c71-d4d4-567c-9bcc-f0d1fc44af56",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006477.lean\",\"2c1ce312726ef66601393b0e2641d6921c9e8ecf73c99107d699cd578fa0aa58\",0,\"algebra_224866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006478.lean\",\"337c11896f090746cb3a19339a78fb67424613af642ff766f9c0e77c0a309c4f\",0,\"algebra_11771\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006479.lean\",\"6fc22968540708e3ce5710a117cd0620ae6b882d2a91319ed545c6f8d171918a\",0,\"number_theory_248831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407701,
+      "path": "data/train/pbe/numina-001295-0000-7a2097b28b69336d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7a2097b28b69336dd8ed1e8c99e0352da8b42a222ae783bddc5b35ae14cd72ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001296.json b/manifests/batches/numina/001296.json
index a5d6030d577fc9fb1a19fa0e2f001fca1f65f77c..06e06200acc5e013b646d51cae135730dc02a0c4 100644
--- a/manifests/batches/numina/001296.json
+++ b/manifests/batches/numina/001296.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001296",
   "batch_fingerprint": "8ab8336383497edcb463800f68138787fb930d71665ef1be4623bddac2ffbffa",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001296-0000-da8bf02ec375ebd2.parquet",
-      "sha256": "da8bf02ec375ebd2a9e9bf7a8cc3a2cdb44c61a2fe58ddd177b7045b6ea25762",
-      "bytes": 476575,
-      "rows": 35,
-      "revision": "5c8721e89c51fb74652fbfbcfec4432099c0a453"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:303aaa58-4016-57bd-8fb0-4c18a2ccefee",
     "numina:92daf189-2fb1-5578-81fd-3d92bdedc14a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006482.lean\",\"5cc437b8005d4112d23f7f65f105beaaf0ec690ed689dff482e5b12c1849f299\",0,\"algebra_611144\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006483.lean\",\"7ae041445fd47a5752df99e0cddcd7117d4db7e622eb5cba61fd348bbef13132\",0,\"inequalities_168319\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006484.lean\",\"42367161a77c39d7e9a3397b3c90fca4660b0df6b046931096bc3bd6fbda62c7\",0,\"algebra_598623\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476575,
+      "path": "data/train/pde/numina-001296-0000-da8bf02ec375ebd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "da8bf02ec375ebd2a9e9bf7a8cc3a2cdb44c61a2fe58ddd177b7045b6ea25762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001297.json b/manifests/batches/numina/001297.json
index 5e817caa67d21266ed67cc92ec1eae8734f79712..3179193226922a7a4b504a2aef4e6add8b816893 100644
--- a/manifests/batches/numina/001297.json
+++ b/manifests/batches/numina/001297.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001297",
   "batch_fingerprint": "61a9db5d4cd7b07d329ba5d218f9ed9c8876b9686d01e21c85ce98c2d086f57f",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001297-0000-e76a2ce924e77a42.parquet",
-      "sha256": "e76a2ce924e77a4206f8663d9587a93d22b1c1071eba3583f7d9aecdd9e0da0a",
-      "bytes": 103359,
-      "rows": 9,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    },
-    {
-      "path": "data/internal_test/numina-001297-0000-101095cf6a477d0f.parquet",
-      "sha256": "101095cf6a477d0ff1a701b5e83f769a0911d0623d8be27d0c20b06f41c54c16",
-      "bytes": 78746,
-      "rows": 12,
-      "revision": "f4967c6dc1546252caa248ccd553af7e8b93ceee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:18aac5f2-585e-5d4d-8294-9d6f837fbddd",
     "numina:44448d48-1816-5439-95f8-fd399d92b14d",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006487.lean\",\"c68407d01529e1ce76eaba92c4082e0ae7ce9c94a753fad803a74f6e32b53ad1\",0,\"algebra_607248\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006488.lean\",\"e4fb765e6a5ad8f6f64eb33e977c9b0c728e31bbe38e039af18754ff1bd2d811\",0,\"algebra_9228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006489.lean\",\"cbf7a2a82ad01cba078873a70e77ed3528a880f38b22510e8ad94469556dfbea\",0,\"number_theory_611149\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103359,
+      "path": "data/train/pae/numina-001297-0000-e76a2ce924e77a42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e76a2ce924e77a4206f8663d9587a93d22b1c1071eba3583f7d9aecdd9e0da0a"
+    },
+    {
+      "bytes": 78746,
+      "path": "data/internal_test/pae/numina-001297-0000-101095cf6a477d0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "101095cf6a477d0ff1a701b5e83f769a0911d0623d8be27d0c20b06f41c54c16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001298.json b/manifests/batches/numina/001298.json
index c56b7804450ab3ea52fcd0e86480c506f1c37f54..630683d9bc4476f533689bfa0d7241c3ee882ba5 100644
--- a/manifests/batches/numina/001298.json
+++ b/manifests/batches/numina/001298.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001298",
   "batch_fingerprint": "213461e77b83ec609397578e52b8854c6d78ad59943fa6bbf7e6db11f838a0bd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001298-0000-3aba7a13ec76e800.parquet",
-      "sha256": "3aba7a13ec76e800573c1ea035af968b9a39ae1c8b23b713f843e2e18b5e2a19",
-      "bytes": 429891,
-      "rows": 11,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/numina-001298-0000-ffc3a8ee63e716cb.parquet",
-      "sha256": "ffc3a8ee63e716cb42a26a21f058d4bb4eb3615a7d1ea10b74c075fe1ca4fb27",
-      "bytes": 385204,
-      "rows": 12,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17a20dfd-1bef-5115-a889-6c3df1815232",
     "numina:77e88976-0132-509d-87e6-b28661ee06e9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006492.lean\",\"dbcb4bb697bfd00348ead3e6acd840950501975910bc82006f1ee4f8b08d1d98\",0,\"number_theory_94746\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006493.lean\",\"327dff455509cbf396dee9a97d608d30a877dbcac6fce51c97fd8c2bd54c6694\",0,\"algebra_30341\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006494.lean\",\"eade5057e1144145c0fadb451900a09c11a16962700533621d4b2990697c4712\",0,\"number_theory_290854\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429891,
+      "path": "data/train/p20/numina-001298-0000-3aba7a13ec76e800.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3aba7a13ec76e800573c1ea035af968b9a39ae1c8b23b713f843e2e18b5e2a19"
+    },
+    {
+      "bytes": 385204,
+      "path": "data/internal_test/p20/numina-001298-0000-ffc3a8ee63e716cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ffc3a8ee63e716cb42a26a21f058d4bb4eb3615a7d1ea10b74c075fe1ca4fb27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001299.json b/manifests/batches/numina/001299.json
index ba749a51934a3f9f2e11007ae1337907bbdbe6d8..8a501611d33ad9361d4d7f3e749a2255c559606c 100644
--- a/manifests/batches/numina/001299.json
+++ b/manifests/batches/numina/001299.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001299",
   "batch_fingerprint": "eca22fee1f7f072e3630f81d9f7e44f871e1d4db281f7fc73851a54ff585522a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001299-0000-fd4c1f2ed2e57fac.parquet",
-      "sha256": "fd4c1f2ed2e57fac7845c9e5c89a6ee5de10bd345ae07c0b72cea7747ceb99f7",
-      "bytes": 164548,
-      "rows": 22,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/numina-001299-0000-293ecc758ac974fa.parquet",
-      "sha256": "293ecc758ac974fa3dd5715f099733a029978778cdd56a71005f2623e2ba7602",
-      "bytes": 169368,
-      "rows": 4,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f905113-3e6d-5563-a4f0-3175eeee9cb5",
     "numina:3f04889d-b047-5c06-8619-33d59067a00f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006497.lean\",\"ddf2cd1cd6bcbc44e94a6f8cfc74400c57bf6556e05e5ec0a716d32083594f6f\",0,\"algebra_19296\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006498.lean\",\"82eb8d4110f760cba334aa03d933d3ddfda78ca3b4e6cca1bdd980117941b23a\",0,\"number_theory_96473\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006499.lean\",\"2afdb89ca2617c6a89a2773c1f2a262f097651d21a85bdf04be403b875263442\",0,\"number_theory_607373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164548,
+      "path": "data/train/pbc/numina-001299-0000-fd4c1f2ed2e57fac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "fd4c1f2ed2e57fac7845c9e5c89a6ee5de10bd345ae07c0b72cea7747ceb99f7"
+    },
+    {
+      "bytes": 169368,
+      "path": "data/internal_test/pbc/numina-001299-0000-293ecc758ac974fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "293ecc758ac974fa3dd5715f099733a029978778cdd56a71005f2623e2ba7602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001300.json b/manifests/batches/numina/001300.json
index 9453cbc4322c7038162cde658696e7cd1bc7cac3..48e8fb494f3b1b901e2a791e478ca94f5e847cae 100644
--- a/manifests/batches/numina/001300.json
+++ b/manifests/batches/numina/001300.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001300",
   "batch_fingerprint": "0192b9667f86464e0ca783818c7d9b60559713c9e77c903d5634a3a47daf6798",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001300-0000-01b4578ed5c6e106.parquet",
-      "sha256": "01b4578ed5c6e106d8ae73ee980aefda0d25623eee04d6d161b76989e4bc6475",
-      "bytes": 610917,
-      "rows": 53,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/dev/numina-001300-0000-77aa084cf047ab33.parquet",
-      "sha256": "77aa084cf047ab330e70eea1c143f34b1857dade12a12fb4d9a7abca3a717d66",
-      "bytes": 32421,
-      "rows": 2,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2736b02b-adae-5e8a-b584-c3eccb1732c1",
     "numina:51d24969-9a70-5de8-8f19-d88d2818f94b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006502.lean\",\"b33d18683ffa2ba56c0339b4879b4eb66da83530bb4a694ff1e071bae96b75de\",0,\"algebra_9230\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006503.lean\",\"2c0ec1e0de3953442e4b386cd3b511e335332f7ee66bca7f5116e29ed2fcc83e\",0,\"algebra_607250\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006504.lean\",\"d00a677800db8848ec821e8675af72ed03794b714dfd1745a9a6fb7304967828\",0,\"number_theory_611075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 610917,
+      "path": "data/train/p83/numina-001300-0000-01b4578ed5c6e106.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "01b4578ed5c6e106d8ae73ee980aefda0d25623eee04d6d161b76989e4bc6475"
+    },
+    {
+      "bytes": 32421,
+      "path": "data/dev/p83/numina-001300-0000-77aa084cf047ab33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "77aa084cf047ab330e70eea1c143f34b1857dade12a12fb4d9a7abca3a717d66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001301.json b/manifests/batches/numina/001301.json
index 23ffdd86fdd30702e69b227fafc84bba99e676b1..bb14532d7bd391f951bae2035eaae929e30b4862 100644
--- a/manifests/batches/numina/001301.json
+++ b/manifests/batches/numina/001301.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001301",
   "batch_fingerprint": "ef7ea2f375a2c361afd6e9fce10b023112a3d14f6929e7b20d5769d829487eed",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001301-0000-b53825eea65bc2e8.parquet",
-      "sha256": "b53825eea65bc2e867ee8c3dc07de812a8dddbd2505221e76f99a3f684e2452b",
-      "bytes": 679942,
-      "rows": 62,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/numina-001301-0000-12832eb2aacdc6a2.parquet",
-      "sha256": "12832eb2aacdc6a2ea49a6f9027d143b789661d0e2d3c2e009c7c0e1e22791f9",
-      "bytes": 42494,
-      "rows": 5,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:477e4f46-9eea-56a0-b284-bf041413d132",
     "numina:49737f41-e2bd-52ce-8d64-d97749ec31d2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006507.lean\",\"42bbb398aff8d23600050bd7b3d51c47bd11793d11e005d9f9344e9b7d1e35fc\",0,\"algebra_96474\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006508.lean\",\"37c5ebe7fb62400c811788ae9560070b18640eacf655313f1080a61d32be8131\",0,\"inequalities_605800\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006509.lean\",\"908efe60cecf0da8d20404f2eab8174ed5aa43b2c144264f98452382506dd5fc\",0,\"algebra_21136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 679942,
+      "path": "data/train/p29/numina-001301-0000-b53825eea65bc2e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "b53825eea65bc2e867ee8c3dc07de812a8dddbd2505221e76f99a3f684e2452b"
+    },
+    {
+      "bytes": 42494,
+      "path": "data/internal_test/p29/numina-001301-0000-12832eb2aacdc6a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "12832eb2aacdc6a2ea49a6f9027d143b789661d0e2d3c2e009c7c0e1e22791f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001302.json b/manifests/batches/numina/001302.json
index 7a47b6b5b5aeada1485faa548da84312c7b78152..9fd14d5f2268a636aed89289956f2253ad03e77f 100644
--- a/manifests/batches/numina/001302.json
+++ b/manifests/batches/numina/001302.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001302",
   "batch_fingerprint": "bdbd56f45581bb48fccc1bb556cd87b588c92078925b14a1c8027c087222f26b",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001302-0000-7530c2c69e408bb1.parquet",
-      "sha256": "7530c2c69e408bb1243219b5676ca242d1523f1244bd57a887c84719366b6c9b",
-      "bytes": 360503,
-      "rows": 27,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12d75d25-337e-5194-8de9-4a36384c911b",
     "numina:2579febe-ac02-543b-ab5b-93ef94fd01f9",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006512.lean\",\"e6a8c4721a1b2e05c05d138f77f8f67eb791084380098be8502bafdb17a620fd\",0,\"algebra_163145\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006513.lean\",\"a4a2991f2973555c4303e4dff1e8c46e0eac6c35c783a0deb2255f423d8f4f55\",1,\"number_theory_4852_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006514.lean\",\"41c36b563f01e53f07c7c57c9c58f59f0d00d83664cfc19dddcee923723225d7\",0,\"algebra_611085\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360503,
+      "path": "data/train/p41/numina-001302-0000-7530c2c69e408bb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "7530c2c69e408bb1243219b5676ca242d1523f1244bd57a887c84719366b6c9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001303.json b/manifests/batches/numina/001303.json
index 966c9bd8b28f7a3e98158b47e3c42ac934fe5457..d2c9949113640429349cd77badf118e9f0f9ee6f 100644
--- a/manifests/batches/numina/001303.json
+++ b/manifests/batches/numina/001303.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001303",
   "batch_fingerprint": "c5c1d99cf21662e7811fc940785d0d9441f8cf41d6439042298c28f477ad7a2c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001303-0000-d067c5c5364011a0.parquet",
-      "sha256": "d067c5c5364011a0928ae7f00f4fa82f368f7bf40a7d41ab49cd815a89869c42",
-      "bytes": 511609,
-      "rows": 36,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/train/numina-001303-0001-6893692cbea8d462.parquet",
-      "sha256": "6893692cbea8d46205d01e75c0e436f055b9dcd5d1c6bf168046a489e0d241df",
-      "bytes": 179953,
-      "rows": 16,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22c01ce9-daf5-5f85-8f8b-6c8684bfa342",
     "numina:9a19cab2-c3c2-58d4-81ef-72ac55db4782",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006517.lean\",\"a998bea62cfd73694518b2cf933a1d6518489743f615004ca01ce71dca789f8a\",0,\"algebra_96491\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006518.lean\",\"96ba6ff4edccceb1117f160092e7d87a7d0d89cb0fb8be446948dc77354b8ce3\",0,\"inequalities_605808\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006519.lean\",\"d20773d61fc8633996ae54b75b33dc44030a0d02ebed7d6389b0d3e5bb2e57f7\",0,\"other_24110\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511609,
+      "path": "data/train/p45/numina-001303-0000-d067c5c5364011a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "d067c5c5364011a0928ae7f00f4fa82f368f7bf40a7d41ab49cd815a89869c42"
+    },
+    {
+      "bytes": 179953,
+      "path": "data/train/p45/numina-001303-0001-6893692cbea8d462.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6893692cbea8d46205d01e75c0e436f055b9dcd5d1c6bf168046a489e0d241df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001304.json b/manifests/batches/numina/001304.json
index c408312bf012e8200368780d973129f19e8873da..ba9928e138ae25c5728c9c3c61631f1cfd9c6fd0 100644
--- a/manifests/batches/numina/001304.json
+++ b/manifests/batches/numina/001304.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001304",
   "batch_fingerprint": "e87d426b3e8f6f56a73f087089e752353b05589e0f185cb7914e22a4e7df9ddc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001304-0000-fc854dc174719c0c.parquet",
-      "sha256": "fc854dc174719c0cfd7e172563ea7549cc51605577627ec57794df28c31ece7f",
-      "bytes": 509652,
-      "rows": 31,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/internal_test/numina-001304-0000-8319c687f06f5cce.parquet",
-      "sha256": "8319c687f06f5cce3c0242984c7079180e9476f2958010d0cd92fa9184f4b637",
-      "bytes": 169980,
-      "rows": 23,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13476d2f-5ba4-5e2c-bc92-281c22403344",
     "numina:15402011-bf43-57ab-81ec-f24444db1bdc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006522.lean\",\"7b4ebf533e41fe76ed8021afe40f569095ef72aeb651ca602829a0b6fa16e059\",0,\"algebra_611087\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006523.lean\",\"5e0f0203ab844d8a732d4f60d70bff8ecfde82b01bc82fa4aae37dc657a7d6a4\",0,\"number_theory_106576\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006524.lean\",\"83d86f7bf5ead08c3707db8e288e10418f8255345607a69087bbfc4e8f768715\",0,\"algebra_96504\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509652,
+      "path": "data/train/pea/numina-001304-0000-fc854dc174719c0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "fc854dc174719c0cfd7e172563ea7549cc51605577627ec57794df28c31ece7f"
+    },
+    {
+      "bytes": 169980,
+      "path": "data/internal_test/pea/numina-001304-0000-8319c687f06f5cce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8319c687f06f5cce3c0242984c7079180e9476f2958010d0cd92fa9184f4b637"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001305.json b/manifests/batches/numina/001305.json
index bdd3d5212227e6de6d203c90c309ad5af8c1a015..d9039a91a662af2f9430175d058778a7bf41bb90 100644
--- a/manifests/batches/numina/001305.json
+++ b/manifests/batches/numina/001305.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001305",
   "batch_fingerprint": "643b6dde4c1b901e654fb21e6f0013c87d5a46b7656a4f4cf6e599d0bcf978ca",
   "evidence": {
@@ -250,22 +249,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001305-0000-79a44bd45aa3c0b3.parquet",
-      "sha256": "79a44bd45aa3c0b30e5bf28ac48e8209415ef60f24f7add001e74d8010449908",
-      "bytes": 619044,
-      "rows": 19,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/dev/numina-001305-0000-2d19d5a06a05f037.parquet",
-      "sha256": "2d19d5a06a05f037828c2f40907621a05e4b263d4378f92d1b8f5583626f9056",
-      "bytes": 93519,
-      "rows": 11,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d2e6c06-1ef2-54d9-8a5e-5b462be6ede0",
     "numina:6fa7675f-adfa-52ad-9b27-a75b059d5bbd",
@@ -275,5 +259,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006526.lean\",\"543c5d99c225c0b72edd665564def9905b702f8da6ae9ce2f65df2c75ce1ae0d\",0,\"algebra_319215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006527.lean\",\"638883589d9041341d06ef666dbc48c84469f859cca3ce34e22c51a7e074878a\",0,\"number_theory_74692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006529.lean\",\"f40e158a2473f956ab7d29d6286e69ebeeef7adde5111d366a5afa0850faf3d3\",0,\"algebra_12626\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619044,
+      "path": "data/train/p10/numina-001305-0000-79a44bd45aa3c0b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "79a44bd45aa3c0b30e5bf28ac48e8209415ef60f24f7add001e74d8010449908"
+    },
+    {
+      "bytes": 93519,
+      "path": "data/dev/p10/numina-001305-0000-2d19d5a06a05f037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2d19d5a06a05f037828c2f40907621a05e4b263d4378f92d1b8f5583626f9056"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001306.json b/manifests/batches/numina/001306.json
index 9d99a024291d3af4520c04bc91bbe2b6f24fce97..ab4164dc802e5e82ff3ef51f267220494c80ba5a 100644
--- a/manifests/batches/numina/001306.json
+++ b/manifests/batches/numina/001306.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001306",
   "batch_fingerprint": "387b0c1f9a53f4fd3c74c14fb875b95d1644642381c97b32cdea0c28438dd13b",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001306-0000-e666aa03c9300c2b.parquet",
-      "sha256": "e666aa03c9300c2baa79bd964be7a1db207d89377511ba0691bdb9b965567d7b",
-      "bytes": 463062,
-      "rows": 26,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:121126b4-4545-5299-ad80-581d460a37a7",
     "numina:25e574da-badd-56a8-8c26-bb0b742e85a7",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006532.lean\",\"3bf91cf185fe1e02ff78ad2c23de2431ca280f919c6cbe19156fe4af4e11645a\",0,\"number_theory_319233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006533.lean\",\"d8481676c40480a80ad576a6cdccdebb956205f55e27eea8dcb196c7ef716aee\",0,\"algebra_12628\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006534.lean\",\"8eccc6444266f82b07c80e3536d7825f3b9a5d793990a027494535cb240b3cf8\",0,\"algebra_609718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463062,
+      "path": "data/train/pb9/numina-001306-0000-e666aa03c9300c2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e666aa03c9300c2baa79bd964be7a1db207d89377511ba0691bdb9b965567d7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001307.json b/manifests/batches/numina/001307.json
index 5a30fd6fbb20e60c2fa2375b4300b5b7b8bff0c4..29b82bcdf2253b8fe419f31765cbf89a8bd45f98 100644
--- a/manifests/batches/numina/001307.json
+++ b/manifests/batches/numina/001307.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001307",
   "batch_fingerprint": "ddf508f4ea9d7b189e4468090cd1b863687c10727dbc4d20d47780f73b9987b6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001307-0000-88c40928e8e7acc7.parquet",
-      "sha256": "88c40928e8e7acc7116b2a9f3955e71749d97390706a04d3cfc192e8444668d2",
-      "bytes": 428519,
-      "rows": 20,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    },
-    {
-      "path": "data/train/numina-001307-0001-d84b35bb7b6d9167.parquet",
-      "sha256": "d84b35bb7b6d916710955fe2b382396f65487e10476591646a987c01c0f4646c",
-      "bytes": 1048469,
-      "rows": 21,
-      "revision": "789fc3e25cf2ba796d60ea1c086de183c435df4d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:564fcdf6-c382-53f6-ab93-1037970e6d24",
     "numina:83a9abf4-aced-5108-9ab0-3edde385f4b3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006537.lean\",\"d641d257f872c06246413e9137108d4fe359a941bae1982c88ee3507ebc83bb6\",0,\"algebra_2969\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006538.lean\",\"9183fa0d2efe264c521db228ac578ef0d156189f68cda49bc0bd205cd8b1b693\",0,\"inequalities_102694\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006539.lean\",\"5955bc1ba784ac80838a3364351ef8770b69ace2d26b60617404c7566d26feac\",0,\"algebra_21236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428519,
+      "path": "data/train/p76/numina-001307-0000-88c40928e8e7acc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "88c40928e8e7acc7116b2a9f3955e71749d97390706a04d3cfc192e8444668d2"
+    },
+    {
+      "bytes": 1048469,
+      "path": "data/train/p76/numina-001307-0001-d84b35bb7b6d9167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d84b35bb7b6d916710955fe2b382396f65487e10476591646a987c01c0f4646c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001308.json b/manifests/batches/numina/001308.json
index bf10185a95f780f547689e635856bb3018077c07..dae9bb217da6b7db83c462095828ff43fc02103a 100644
--- a/manifests/batches/numina/001308.json
+++ b/manifests/batches/numina/001308.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001308",
   "batch_fingerprint": "1ef259fe57094e0b04198048e5e17b6ebabb8a451db5dcbfb28ab14173be226e",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001308-0000-eea972477529e9d6.parquet",
-      "sha256": "eea972477529e9d6e5b846d72a13ee5721914e170e16cb777eeaf1eaf9d997ba",
-      "bytes": 170310,
-      "rows": 25,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    },
-    {
-      "path": "data/dev/numina-001308-0000-2e7da9dc86bd73b8.parquet",
-      "sha256": "2e7da9dc86bd73b82f82673cb14a031894076ad072d0da98aa64238ca7b79106",
-      "bytes": 30632,
-      "rows": 1,
-      "revision": "561b4ad4f22106529713a6f136517d9473b503e8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1082bd51-6ae6-5053-8455-9bb3dcbe0669",
     "numina:39fb9c6b-9423-5c11-880c-12631c999d9a",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006541.lean\",\"72399de97e1b20150d86d2bd48584ec63d9a64116ff7d310fce74506ea9a08ed\",0,\"algebra_52507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006542.lean\",\"dfcab1a668c671a56635ffe75e0a18a44ef99c7fd64b8b2e9128d79d77a69c09\",0,\"numbertheory_609719\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006544.lean\",\"140f63a1e5505c0122c39df65a6d862ef73d875682fc6bec33998dcfdef52f89\",0,\"number_theory_116544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170310,
+      "path": "data/train/p05/numina-001308-0000-eea972477529e9d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "eea972477529e9d6e5b846d72a13ee5721914e170e16cb777eeaf1eaf9d997ba"
+    },
+    {
+      "bytes": 30632,
+      "path": "data/dev/p05/numina-001308-0000-2e7da9dc86bd73b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2e7da9dc86bd73b82f82673cb14a031894076ad072d0da98aa64238ca7b79106"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001309.json b/manifests/batches/numina/001309.json
index 50c26f72d3cf87d693ac06f2790967133a6ff4ef..b8fd558f15cc49cb655017d91d5e078c6122f6c1 100644
--- a/manifests/batches/numina/001309.json
+++ b/manifests/batches/numina/001309.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001309",
   "batch_fingerprint": "88611d6941653a637d9ab231861ba02c03c61005c0f677554c76c59ae588ce41",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001309-0000-07094ccb690817cb.parquet",
-      "sha256": "07094ccb690817cb3079453d8ffc723494a560380f7bc9de9a7d8fcdc5a99030",
-      "bytes": 527411,
-      "rows": 11,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/train/numina-001309-0001-152edcbf1ccd9911.parquet",
-      "sha256": "152edcbf1ccd99118ec8159c1ba45279ca6f59d31160c34978f1dc3370366451",
-      "bytes": 263904,
-      "rows": 13,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001309-0000-07c2b019a0118a22.parquet",
-      "sha256": "07c2b019a0118a22cded6e2bf1a481ac02dc28daf67b862ba09188ef99e0bfff",
-      "bytes": 100948,
-      "rows": 25,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27ac219c-e761-5842-bf23-51ae8ff2ae87",
     "numina:83d6ce20-35b1-5836-bfce-c759b0236f1e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006547.lean\",\"9b1d7fe53a0f9f707bc2f11ca449bf59932fe070866cf7070b860ef17b7bf35e\",0,\"algebra_231488\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006548.lean\",\"8f4edfd95bff85a30e79d360b6f5a26fa96db1a761315932f087785e74b2715f\",0,\"algebra_167304\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006549.lean\",\"6249e97b7db31a29af95c9e58aa2283de1a53a1688e884374d2bbe1d1e279fb5\",0,\"number_theory_609726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 527411,
+      "path": "data/train/pcf/numina-001309-0000-07094ccb690817cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "07094ccb690817cb3079453d8ffc723494a560380f7bc9de9a7d8fcdc5a99030"
+    },
+    {
+      "bytes": 263904,
+      "path": "data/train/pcf/numina-001309-0001-152edcbf1ccd9911.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "152edcbf1ccd99118ec8159c1ba45279ca6f59d31160c34978f1dc3370366451"
+    },
+    {
+      "bytes": 100948,
+      "path": "data/internal_test/pcf/numina-001309-0000-07c2b019a0118a22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "07c2b019a0118a22cded6e2bf1a481ac02dc28daf67b862ba09188ef99e0bfff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001310.json b/manifests/batches/numina/001310.json
index 692eff1958876423c4374e1a6577841731b8de84..2c19f1c3dcaac3d9fdb0aaa990c459adc69576d1 100644
--- a/manifests/batches/numina/001310.json
+++ b/manifests/batches/numina/001310.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001310",
   "batch_fingerprint": "3f9b59d3f45ec1cdafcdcb1dd5eb73958f3cd1926b056d10aa70fd6f55d48614",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001310-0000-9d752cad11b869e2.parquet",
-      "sha256": "9d752cad11b869e20c012873679f7ee11c119882a42a5997e9e01b6e98c62647",
-      "bytes": 380680,
-      "rows": 63,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001310-0000-d2c29453c8b5792c.parquet",
-      "sha256": "d2c29453c8b5792cf32fcb60d50a9d78dfa20ed7c0b0ed0fefa37adf58eb98ec",
-      "bytes": 312925,
-      "rows": 36,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0841245e-801c-5d95-acea-a4cee18fc322",
     "numina:51cc9b9c-cbc1-5fee-88e9-3606175dc433",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006552.lean\",\"1c7207720824a9e497be29599c170af2fbc4376c8e8dffa60c69c4567f18aa3f\",1,\"calculus_116756_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006553.lean\",\"987ac2f588051cbe6820ea524ef716c6a6849e47b4ad60237e91a8af52aba6c8\",0,\"algebra_102767\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006554.lean\",\"7900d4603975e13b85b4d64ec4ad4e79d7991dfd2a2587fc4e37f53b06b69152\",0,\"number_theory_31417\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380680,
+      "path": "data/train/p39/numina-001310-0000-9d752cad11b869e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "9d752cad11b869e20c012873679f7ee11c119882a42a5997e9e01b6e98c62647"
+    },
+    {
+      "bytes": 312925,
+      "path": "data/internal_test/p39/numina-001310-0000-d2c29453c8b5792c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "d2c29453c8b5792cf32fcb60d50a9d78dfa20ed7c0b0ed0fefa37adf58eb98ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001311.json b/manifests/batches/numina/001311.json
index 52287c2ad93fc72a0b3d60b6a2cd03b39ed58708..c132d953e001464de8b9781de741ef3e97b3dc16 100644
--- a/manifests/batches/numina/001311.json
+++ b/manifests/batches/numina/001311.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001311",
   "batch_fingerprint": "284aca1a06025c8ae72e4453634590631ca72faf21b81927766a0fbfe9fbc409",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001311-0000-2aa4661c2ed49ad0.parquet",
-      "sha256": "2aa4661c2ed49ad0410a15bbd7dea1c3d7c3fcce2f8488490b15ee345ab7a95f",
-      "bytes": 105757,
-      "rows": 7,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/numina-001311-0000-20aed1bcd646b1ff.parquet",
-      "sha256": "20aed1bcd646b1ff860c76504cb2407d4eb89e775734b6e25d75165d39f0b0a1",
-      "bytes": 48020,
-      "rows": 8,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11b127b9-640e-5631-ad2f-3d68645ddb39",
     "numina:14fce066-aae1-5527-8e6e-95453e8297eb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006557.lean\",\"6e3a0f3a4cb797f5bffbfd6f3f4d91b4973c980681f11bd94d8c277c445181ec\",0,\"algebra_326141\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006558.lean\",\"4d3b6edef5e270f0c40fb1d1a1a73c675ab509f4b2e3457bf67cd1493eda5fee\",0,\"inequalities_30456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006559.lean\",\"bb42603118dd54b070f43ba3a00cf4573815e62b83a3f101efaccda0c5aa852e\",0,\"algebra_234889'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105757,
+      "path": "data/train/pbf/numina-001311-0000-2aa4661c2ed49ad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2aa4661c2ed49ad0410a15bbd7dea1c3d7c3fcce2f8488490b15ee345ab7a95f"
+    },
+    {
+      "bytes": 48020,
+      "path": "data/dev/pbf/numina-001311-0000-20aed1bcd646b1ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "20aed1bcd646b1ff860c76504cb2407d4eb89e775734b6e25d75165d39f0b0a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001312.json b/manifests/batches/numina/001312.json
index ee2e0668894c72c050450169fb1ac3efe9f95851..824abdd9f98b0f9b618d023e77dc49c8e8dc6649 100644
--- a/manifests/batches/numina/001312.json
+++ b/manifests/batches/numina/001312.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001312",
   "batch_fingerprint": "99a4e0731a061fa286fd7be1f6669ad594a5d3a192e6103048ae161af83e869e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001312-0000-312ac5b720224c23.parquet",
-      "sha256": "312ac5b720224c234362c0c74de4c7521d4ccbd7482cfa7cedfc3f2b1b5a002e",
-      "bytes": 254636,
-      "rows": 18,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/dev/numina-001312-0000-5d707487c91d69a6.parquet",
-      "sha256": "5d707487c91d69a69992b6409b56d7598e67b08d2f437438341e559528ed21bd",
-      "bytes": 116906,
-      "rows": 8,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001312-0000-236960972e1fcee0.parquet",
-      "sha256": "236960972e1fcee0a505f82f133c7e1db7ea3363b2307e941e2f6bc5882b8bfe",
-      "bytes": 25552,
-      "rows": 2,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:48aba5a6-8d00-53dc-a343-b737c004ef75",
     "numina:717ca48f-71fe-56b8-abd7-bf45c749547b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006562.lean\",\"fa7f9bf155cd2b70b8ac743034bac503afff6203b34f2dd546c34080e4d81846\",0,\"number_theory_610952\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006563.lean\",\"ae477093fecfbc33c7783acd1e425b12fa79d1ee21eb87bae93a66beeddab54f\",0,\"algebra_95962\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006564.lean\",\"8cb8994fea69e444a84cc2840b060c00333d905e40d2870e41bed2552ba33361\",0,\"algebra_21118\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254636,
+      "path": "data/train/p51/numina-001312-0000-312ac5b720224c23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "312ac5b720224c234362c0c74de4c7521d4ccbd7482cfa7cedfc3f2b1b5a002e"
+    },
+    {
+      "bytes": 116906,
+      "path": "data/dev/p51/numina-001312-0000-5d707487c91d69a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5d707487c91d69a69992b6409b56d7598e67b08d2f437438341e559528ed21bd"
+    },
+    {
+      "bytes": 25552,
+      "path": "data/internal_test/p51/numina-001312-0000-236960972e1fcee0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "236960972e1fcee0a505f82f133c7e1db7ea3363b2307e941e2f6bc5882b8bfe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001313.json b/manifests/batches/numina/001313.json
index ef36857e9b0fa376c886e16dc112d0313115444d..7271ab77e8d1973d18f000021256b23cd04606bc 100644
--- a/manifests/batches/numina/001313.json
+++ b/manifests/batches/numina/001313.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001313",
   "batch_fingerprint": "b224832c04122be07a09f5d6266942f169daa105357d04ddbe2ec2bfdee9d37a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001313-0000-58fa5729c5722e67.parquet",
-      "sha256": "58fa5729c5722e67bab454014c43457825d5e58f6df61514d63066962dafa84d",
-      "bytes": 422901,
-      "rows": 74,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15da2b5f-bbd8-52ed-8503-ec17235adca3",
     "numina:4e1a996b-6409-5f34-a634-2c2ab460505c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006567.lean\",\"c4307b10b45cea08db5c55783d6ea3322db03103ae5ec27a093fa4063735589e\",0,\"algebra_9131\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006568.lean\",\"324d1feca1d59a0daeffa0a359d67b91ac9081c39acd4249d4c7037fe6184704\",0,\"algebra_95331\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006569.lean\",\"b8c6e4369df36e5f1a64c92c71ccef303813371d273666b1b463e860cbbe21b3\",0,\"number_theory_605107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422901,
+      "path": "data/train/p5c/numina-001313-0000-58fa5729c5722e67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "58fa5729c5722e67bab454014c43457825d5e58f6df61514d63066962dafa84d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001314.json b/manifests/batches/numina/001314.json
index 0a3a45311ae43a0fe5823873275d0b8c0236f786..d066b75d7ab5450fafdf08676a176e44dec76a8a 100644
--- a/manifests/batches/numina/001314.json
+++ b/manifests/batches/numina/001314.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001314",
   "batch_fingerprint": "eeb08831feb2d32b3f98b908bb3594989925b3d9478c58418dc232b5ed2ef13e",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:19e9fe36-2751-5638-93a9-367d2fcf8eb6",
+    "numina:41188188-76d7-599c-b8e3-8a5a7aee389f",
+    "numina:55775cb5-34b1-5f9b-a602-e9cc5116a24c",
+    "numina:bd0732e1-6728-597c-8d9a-38d395637399",
+    "numina:c2ce0366-1ec5-5396-b69d-a4c7877b35ae"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006570.lean\",\"d1cea0d1f7424dcd66dd3d83e06081eb99a2953ff5df5c033bba17fc8e2c54ca\",0,\"algebra_21287\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006571.lean\",\"a4c346d9475803cbe52824b4d82c7ea468b8ecde5db28eb0bf618942994d51b7\",0,\"algebra_215439\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006572.lean\",\"9c05089be585617f55c55c8560d2238dd1df1f38f61a5f9f7de626915cbbeaf7\",0,\"number_theory_24649\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006573.lean\",\"99af4cdf335a5f329ce631f1f5bd000533a80cb77841a6d4ce2ec20304f8c16d\",0,\"inequalities_606059\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006574.lean\",\"89b5dd575c9536b9b806f8d9fbca2ed4dfdc486b00e4dbba1c2b3b62604b79b2\",0,\"algebra_9132\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001314-0000-18c6a6067863d7ab.parquet",
-      "sha256": "18c6a6067863d7ab7ad6b0fa3e02820624c9d68826120e481cf9cbae628fba92",
       "bytes": 725004,
+      "path": "data/train/p7c/numina-001314-0000-18c6a6067863d7ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 36,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "18c6a6067863d7ab7ad6b0fa3e02820624c9d68826120e481cf9cbae628fba92"
     },
     {
-      "path": "data/train/numina-001314-0001-af3f89a2e932d093.parquet",
-      "sha256": "af3f89a2e932d093ccaa4fc5551a3471da65f52b993ffb035d2b9b9fe39d0e74",
       "bytes": 615305,
+      "path": "data/train/p7c/numina-001314-0001-af3f89a2e932d093.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "af3f89a2e932d093ccaa4fc5551a3471da65f52b993ffb035d2b9b9fe39d0e74"
     },
     {
-      "path": "data/train/numina-001314-0002-27c7882c1089bba8.parquet",
-      "sha256": "27c7882c1089bba8d71490f9d723bb5d731db5f2a2cee3bc0fbae577d296b236",
       "bytes": 563939,
+      "path": "data/train/p7c/numina-001314-0002-27c7882c1089bba8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "27c7882c1089bba8d71490f9d723bb5d731db5f2a2cee3bc0fbae577d296b236"
     },
     {
-      "path": "data/internal_test/numina-001314-0000-81f43db0a59d4c0d.parquet",
-      "sha256": "81f43db0a59d4c0d9cd24ed0b1a3794cfbc9a1e42c6f5029bb0bc7ea31aaaae4",
       "bytes": 242754,
+      "path": "data/internal_test/p7c/numina-001314-0000-81f43db0a59d4c0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 31,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
+      "sha256": "81f43db0a59d4c0d9cd24ed0b1a3794cfbc9a1e42c6f5029bb0bc7ea31aaaae4"
     }
-  ],
-  "proof_ids": [
-    "numina:19e9fe36-2751-5638-93a9-367d2fcf8eb6",
-    "numina:41188188-76d7-599c-b8e3-8a5a7aee389f",
-    "numina:55775cb5-34b1-5f9b-a602-e9cc5116a24c",
-    "numina:bd0732e1-6728-597c-8d9a-38d395637399",
-    "numina:c2ce0366-1ec5-5396-b69d-a4c7877b35ae"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006570.lean\",\"d1cea0d1f7424dcd66dd3d83e06081eb99a2953ff5df5c033bba17fc8e2c54ca\",0,\"algebra_21287\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006571.lean\",\"a4c346d9475803cbe52824b4d82c7ea468b8ecde5db28eb0bf618942994d51b7\",0,\"algebra_215439\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006572.lean\",\"9c05089be585617f55c55c8560d2238dd1df1f38f61a5f9f7de626915cbbeaf7\",0,\"number_theory_24649\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006573.lean\",\"99af4cdf335a5f329ce631f1f5bd000533a80cb77841a6d4ce2ec20304f8c16d\",0,\"inequalities_606059\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006574.lean\",\"89b5dd575c9536b9b806f8d9fbca2ed4dfdc486b00e4dbba1c2b3b62604b79b2\",0,\"algebra_9132\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001315.json b/manifests/batches/numina/001315.json
index 5c404b7ef1ca17d31e72e19fbf120d001330242a..819f7af01c0ea1cc025e7df090253c6423e894c4 100644
--- a/manifests/batches/numina/001315.json
+++ b/manifests/batches/numina/001315.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001315",
   "batch_fingerprint": "dca131755fd6575b26f1fda164b576fc5bde479bf8bb964af293227cd0f5d5ac",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001315-0000-2b122c96dc328acf.parquet",
-      "sha256": "2b122c96dc328acfe1667ac87a0e6e7f00510b56be62050bed780c34c5662054",
-      "bytes": 378620,
-      "rows": 48,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/train/numina-001315-0001-3ccd9ad0d3fe1d20.parquet",
-      "sha256": "3ccd9ad0d3fe1d2098750cfd3ed9f394f87ae15a37c2d3cbcefd2ec20a2bcf1e",
-      "bytes": 566430,
-      "rows": 29,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001315-0000-88f6891c3a012660.parquet",
-      "sha256": "88f6891c3a012660013955817a6c37fb1401a0b5013c93e9545d383f5cf00899",
-      "bytes": 137285,
-      "rows": 3,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f70348d-3ea2-5ab2-a98e-e6125c2cb015",
     "numina:3c016cd9-04de-5ad0-8e57-617e9bfa0ce7",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006577.lean\",\"b8fce25138585c5907d77097471fc8aafaadcef4558a5aedf36785a33b4c4352\",0,\"number_theory_604194\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006578.lean\",\"55bf676f56adcd3cfcd1ddfd4503238b8990bb2c09f7e29993dc370b9e10abaa\",0,\"number_theory_177308\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006579.lean\",\"736e14c73a879d744ff3fb67c06a306a7bc66e0b4576c859a68d43c0fbb6259b\",0,\"algebra_21293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378620,
+      "path": "data/train/pd7/numina-001315-0000-2b122c96dc328acf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "2b122c96dc328acfe1667ac87a0e6e7f00510b56be62050bed780c34c5662054"
+    },
+    {
+      "bytes": 566430,
+      "path": "data/train/pd7/numina-001315-0001-3ccd9ad0d3fe1d20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "3ccd9ad0d3fe1d2098750cfd3ed9f394f87ae15a37c2d3cbcefd2ec20a2bcf1e"
+    },
+    {
+      "bytes": 137285,
+      "path": "data/internal_test/pd7/numina-001315-0000-88f6891c3a012660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88f6891c3a012660013955817a6c37fb1401a0b5013c93e9545d383f5cf00899"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001316.json b/manifests/batches/numina/001316.json
index 67f2d34e5d7a46cefda6f7cd8430cae07f7c0acb..a1aac4fb7f1afc20df417d569bda1a5f1c02da83 100644
--- a/manifests/batches/numina/001316.json
+++ b/manifests/batches/numina/001316.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001316",
   "batch_fingerprint": "c16e749b56d880d9d53fd99aac8cf3684beb3a747a45b26ac55db0538d641f06",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001316-0000-dfb2328d99b7f610.parquet",
-      "sha256": "dfb2328d99b7f610ef55b4d69b847dfbcecbbf206abb9b382bddd03cce15d37c",
-      "bytes": 475148,
-      "rows": 53,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001316-0000-aaeeb88a4d2572af.parquet",
-      "sha256": "aaeeb88a4d2572af626d52fe3852164a3b9425e2fb1c669ea62d2b5b7236d644",
-      "bytes": 221704,
-      "rows": 16,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2e44aaa8-b3da-5b51-a3b0-7ea7cd766cd7",
     "numina:59941f32-4b5a-54b0-ab1a-2e10cccff51d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006582.lean\",\"d6fa488b7eda8f4de8d63db63fad947f311ebd021a48928dcf85f63ee5bfc95f\",1,\"inequalities_170848\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006583.lean\",\"792dc3b5ae3426944337360951f5d13b3556cdd78b8a533e35f6464ea966a819\",1,\"calculus_610984\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006584.lean\",\"489b84acb467b411095661ad558815ecdee6c6894913b5cdda9985f5a23db3ec\",0,\"algebra_325489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 475148,
+      "path": "data/train/p56/numina-001316-0000-dfb2328d99b7f610.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "dfb2328d99b7f610ef55b4d69b847dfbcecbbf206abb9b382bddd03cce15d37c"
+    },
+    {
+      "bytes": 221704,
+      "path": "data/internal_test/p56/numina-001316-0000-aaeeb88a4d2572af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "aaeeb88a4d2572af626d52fe3852164a3b9425e2fb1c669ea62d2b5b7236d644"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001317.json b/manifests/batches/numina/001317.json
index 6c14448847e79b7f1953858cd287c8f0771318cc..31f8f19a920588bd3db22f6b1296a886c2a0a972 100644
--- a/manifests/batches/numina/001317.json
+++ b/manifests/batches/numina/001317.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001317",
   "batch_fingerprint": "ab7057c8f6f541ea49b242809170a12279afcadb1c334107ad121b5b58d30371",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001317-0000-ae183513cb14313b.parquet",
-      "sha256": "ae183513cb14313bee35aed4bb5d3ab9324cc9fb3eaca33e26c82456796a1e9f",
-      "bytes": 565246,
-      "rows": 80,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    },
-    {
-      "path": "data/internal_test/numina-001317-0000-12aff7671c98f73c.parquet",
-      "sha256": "12aff7671c98f73c1df70d261d120638edc2e6e0282c0b85c97d254e106adc1c",
-      "bytes": 96376,
-      "rows": 9,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04d75ac0-4a4b-596d-bb9e-f870da0eb8d2",
     "numina:599ad920-fad1-51d6-b35e-b05e71818bfb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006587.lean\",\"f1bd697103c5e7af9687e3ca76b8d92abf246f58b88ee9365193865e0370e3df\",0,\"algebra_21301\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006588.lean\",\"7a96a8fe6049d3adc62a1d86a373e96a8dea328f8d1346fc9ff73e6b5833bd86\",0,\"algebra_215591\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006589.lean\",\"4e2f400e446e481da5e6e95ee8e96c60a1f6dc7a3596bd3259e763aaea42ff1b\",0,\"number_theory_24603\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565246,
+      "path": "data/train/p09/numina-001317-0000-ae183513cb14313b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 80,
+      "sha256": "ae183513cb14313bee35aed4bb5d3ab9324cc9fb3eaca33e26c82456796a1e9f"
+    },
+    {
+      "bytes": 96376,
+      "path": "data/internal_test/p09/numina-001317-0000-12aff7671c98f73c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "12aff7671c98f73c1df70d261d120638edc2e6e0282c0b85c97d254e106adc1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001318.json b/manifests/batches/numina/001318.json
index d779004d6050e9f0e572d7016128c0bdaa648d61..f880657cacf8cb1f5de91c4e422f6f0a1c953590 100644
--- a/manifests/batches/numina/001318.json
+++ b/manifests/batches/numina/001318.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001318",
   "batch_fingerprint": "3cd077668f27a2fcfce7a9295a377cccfed43e2bfb4ff4ba14eabf09923e06c7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001318-0000-ce3078991d09f4ed.parquet",
-      "sha256": "ce3078991d09f4ed40eba621a9fcafdcf69157fc29d197c76a0861948a6bd61f",
-      "bytes": 260327,
-      "rows": 20,
-      "revision": "cac946fb64b2613cb21474607df0202da7cc9bbb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e517a35-e9be-5b30-831b-dd21746ef958",
     "numina:53ed7ca7-7d36-5a1b-8477-70cbdac314f6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006592.lean\",\"435a1a48df3946bb88df36fc88b1b37a2014fc930785ae8119df26abe52cc803\",0,\"algebra_94706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006593.lean\",\"1408e604b8e7c0899fb4dcf1e270439ae10325a21c55cc0ce79feddb6dfc2599\",0,\"algebra_21303\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006594.lean\",\"4a6670736a7a04d26e579727bc76e77e40b2ee0f013d36b11d76f258141311e2\",0,\"algebra_12097\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260327,
+      "path": "data/train/p6c/numina-001318-0000-ce3078991d09f4ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ce3078991d09f4ed40eba621a9fcafdcf69157fc29d197c76a0861948a6bd61f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001319.json b/manifests/batches/numina/001319.json
index 9370e0b1b0ccd3bcf9b3a756693494e2cf2ba076..4e6108e5968b27cf7428617c2fca880620047310 100644
--- a/manifests/batches/numina/001319.json
+++ b/manifests/batches/numina/001319.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001319",
   "batch_fingerprint": "8af5aa892d65769bff0b8185591d28cd58237b088b81a3f4a81411d124d7906e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001319-0000-f931da8d0b289406.parquet",
-      "sha256": "f931da8d0b289406d96c86bcb45f4136c0c138c6d52d4eb87594238e05b989ca",
-      "bytes": 536251,
-      "rows": 48,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    },
-    {
-      "path": "data/train/numina-001319-0001-f4ad69dfe79b0855.parquet",
-      "sha256": "f4ad69dfe79b0855f89057e41813c729e49499b26204c94fe94f1b99185d91b4",
-      "bytes": 642044,
-      "rows": 33,
-      "revision": "b36d3937ef44dc32b333ad84c29672b469f3a1fe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5de282a1-3143-52c3-988a-413a7420cf43",
     "numina:6079e2d6-7291-5ad3-b2c0-b0335a152c48",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006597.lean\",\"4c8846137c0a92f62460aed57948f1867014ebe9c311981fccf28511cc755826\",0,\"algebra_606066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006598.lean\",\"98a1a91e75d87e36ab763b5cd710dffd7db7864932c82ac2a5a04ad295836373\",0,\"number_theory_632030\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006599.lean\",\"f69f30faf2f6e61d1d1f01e62728413c83033ddbed68de9b4fa0e4fb45446661\",0,\"algebra_12788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 536251,
+      "path": "data/train/p30/numina-001319-0000-f931da8d0b289406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "f931da8d0b289406d96c86bcb45f4136c0c138c6d52d4eb87594238e05b989ca"
+    },
+    {
+      "bytes": 642044,
+      "path": "data/train/p30/numina-001319-0001-f4ad69dfe79b0855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "f4ad69dfe79b0855f89057e41813c729e49499b26204c94fe94f1b99185d91b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001320.json b/manifests/batches/numina/001320.json
index 8fcb2406c92c1065b5c68fd174f75d4ffd4360ac..e1c860d75b0e08f703ffe8dfeff16ddd9f106acf 100644
--- a/manifests/batches/numina/001320.json
+++ b/manifests/batches/numina/001320.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001320",
   "batch_fingerprint": "924c52ea80f855768e3af3d3e80986c5dff6e43e79bd09edbd2f6ce5c23023cb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001320-0000-727e5f61dd3e253a.parquet",
-      "sha256": "727e5f61dd3e253a9bab56d87f2ea8b4b4300cbf1b8c494398b2d273a23e0f5c",
-      "bytes": 446452,
-      "rows": 40,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:031e226a-c027-528a-bd95-cd4daca1718b",
     "numina:19517b6c-2992-57fa-8544-46b1c24f4246",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006602.lean\",\"a074644a4bff7d8c304bc0d72f2a021866f0784fcddda504eb2f9656293d4a3b\",0,\"algebra_21018\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006603.lean\",\"2399b5151a152486f70afaf6e8a673805e6eaf651aab53abc721ec713fbacde3\",0,\"algebra_236512\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006604.lean\",\"3ccabd919a895f9c37e58c40a2bbd83b7f8ec491101675707ab764289df7e981\",0,\"inequalities_254301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 446452,
+      "path": "data/train/p4b/numina-001320-0000-727e5f61dd3e253a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "727e5f61dd3e253a9bab56d87f2ea8b4b4300cbf1b8c494398b2d273a23e0f5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001321.json b/manifests/batches/numina/001321.json
index 7f1220a4786bef0c7c4146d89c31c85305e3a318..03271f0504ee741449321e09ab99128acb609bee 100644
--- a/manifests/batches/numina/001321.json
+++ b/manifests/batches/numina/001321.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001321",
   "batch_fingerprint": "b76d6e444e43dd553a5c8a299da17562e4796acd2cf56f789bc5a48e6c711eb4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001321-0000-3b1a83af575cd172.parquet",
-      "sha256": "3b1a83af575cd172e4b4852eb966c3bc73f0a14a9e7a50745722b19efb0951f3",
-      "bytes": 351484,
-      "rows": 50,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b0a9aa2-f7e9-5698-b164-fc3219f6db7b",
     "numina:2c792ad4-d568-58ee-abea-397b3a19aa53",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006607.lean\",\"8366a664443695c6a7fad00630c9886e8ca2714c52b54d5ab9a3476ebdca1e37\",0,\"algebra_21257\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006608.lean\",\"28c8e7c81ce05f1f768a070de454957e68c0fd0e146c99baa89f8eebd836bf0a\",0,\"number_theory_24386\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006609.lean\",\"a6adefc4a39d0ee438bfe93b83d6a3c55a3e4fa88b3cdb36ff11c09cb765c1cd\",0,\"number_theory_114480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351484,
+      "path": "data/train/p6a/numina-001321-0000-3b1a83af575cd172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "3b1a83af575cd172e4b4852eb966c3bc73f0a14a9e7a50745722b19efb0951f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001322.json b/manifests/batches/numina/001322.json
index 3c0b54c617bd225d7f063a28b2b302007459b14d..33c7460922c81c26dcb33a690044d4efce32c05a 100644
--- a/manifests/batches/numina/001322.json
+++ b/manifests/batches/numina/001322.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001322",
   "batch_fingerprint": "0e30f70206e9f57fdb5c9df4489a153334b6f26d06e55c5586cd2b9070efef50",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001322-0000-88843637fdbc7826.parquet",
-      "sha256": "88843637fdbc7826f5e4fec9e57b9d47ea9282f8119c7588135163c7bbf051f8",
-      "bytes": 248812,
-      "rows": 34,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06d63d71-674d-539e-b202-41bdeb9c92c8",
     "numina:54be38c6-8029-5870-b1d3-21725074ebc3",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006612.lean\",\"9868068e4c8950176014f161ea5f1bbb76fa071276c92669e6f07c2d3bcb65d2\",1,\"algebra_446119_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006613.lean\",\"637b2acd556509f11169bf85c93e053d9aafb7163fc7541077e44e73f42a60c7\",0,\"algebra_177982\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006614.lean\",\"c909b6ab086a25058f3c3ddeff8a7dbf8fc87f5a2d79a8eeef3cbcef864d299c\",0,\"algebra_21264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248812,
+      "path": "data/train/p80/numina-001322-0000-88843637fdbc7826.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "88843637fdbc7826f5e4fec9e57b9d47ea9282f8119c7588135163c7bbf051f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001323.json b/manifests/batches/numina/001323.json
index c0847012264ba4fb014f64aa799a08657ea52b89..f2a097be3d28e82afa9edca3d2f280a5b59924e6 100644
--- a/manifests/batches/numina/001323.json
+++ b/manifests/batches/numina/001323.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001323",
   "batch_fingerprint": "98cd512e672282d9ce6882e9405209294c9328f2f186c55e12ba354ed7364757",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001323-0000-3a2971b8103f1044.parquet",
-      "sha256": "3a2971b8103f1044ce5919c15c94fd601da3f0bda55bc63c7258a55041952d8f",
-      "bytes": 484224,
-      "rows": 19,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/numina-001323-0000-032f37c64f42594f.parquet",
-      "sha256": "032f37c64f42594f2b21be854acca6c9053964bd429adadef6d244f982b24296",
-      "bytes": 113161,
-      "rows": 4,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:163bf276-a418-58ed-8158-8b72950fdded",
     "numina:4ead6d6f-c589-5709-9eaf-da24d5757ddc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006617.lean\",\"5e4a629050f7d117c1209e9b42391e4021988620eb5201f85caeebd29f16758c\",0,\"number_theory_16468\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006618.lean\",\"ab4ef28e7f9137eac83641e3af8b4f89adf882c5f820395de5f9c2c0aeaeeeb4\",0,\"algebra_157874\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006619.lean\",\"ddba8fe3cde8d78dd7c059bcb9c6c9f9874e924799593e7a46274f1dc5768d05\",0,\"algebra_611263\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484224,
+      "path": "data/train/pc7/numina-001323-0000-3a2971b8103f1044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3a2971b8103f1044ce5919c15c94fd601da3f0bda55bc63c7258a55041952d8f"
+    },
+    {
+      "bytes": 113161,
+      "path": "data/internal_test/pc7/numina-001323-0000-032f37c64f42594f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "032f37c64f42594f2b21be854acca6c9053964bd429adadef6d244f982b24296"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001324.json b/manifests/batches/numina/001324.json
index 153923a9bd7c404e06514c94e72b55b685627c18..11a5f4f9326cea65ec08d4bb616851fb34f9dba1 100644
--- a/manifests/batches/numina/001324.json
+++ b/manifests/batches/numina/001324.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001324",
   "batch_fingerprint": "fa5524062a949be79e7d1a9713a50a090399ea3e1473f351c5e57a2eb3c3eaec",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001324-0000-65f79c5ff1aa662f.parquet",
-      "sha256": "65f79c5ff1aa662f6536af6138fec3a5ccf591684e275c1a9849727a1242a2b9",
-      "bytes": 199438,
-      "rows": 18,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/numina-001324-0000-9e3b676823ad1b0d.parquet",
-      "sha256": "9e3b676823ad1b0d6269c4d9cea7d0bde45cb76a49d70f5da8239684a90c5f88",
-      "bytes": 78828,
-      "rows": 10,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10dc4148-62b8-5d74-a58d-033ed4a86dbc",
     "numina:2d7896a8-0f90-553c-86f4-301b01c779f5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006622.lean\",\"f4deef12addb2d7061d7232087ccdab64e499404d0cb2c628ac4043916b1eeae\",0,\"algebra_15496\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006623.lean\",\"f09718cd1dd33eebeee5355421edeeb8956bf17c561235f5cdf8712d21008a1c\",0,\"calculus_161675\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006624.lean\",\"96cd2d2be82e41116b3e4936266403c687f8528418fb74188c0b4908ad6d49de\",0,\"algebra_114569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199438,
+      "path": "data/train/p81/numina-001324-0000-65f79c5ff1aa662f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "65f79c5ff1aa662f6536af6138fec3a5ccf591684e275c1a9849727a1242a2b9"
+    },
+    {
+      "bytes": 78828,
+      "path": "data/dev/p81/numina-001324-0000-9e3b676823ad1b0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9e3b676823ad1b0d6269c4d9cea7d0bde45cb76a49d70f5da8239684a90c5f88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001325.json b/manifests/batches/numina/001325.json
index 3f414458027cecc0a0dca40360ea3d351fe65c41..20f5f23e2ca22d5c976c377ccfe8c9cec2943ffb 100644
--- a/manifests/batches/numina/001325.json
+++ b/manifests/batches/numina/001325.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001325",
   "batch_fingerprint": "1d9e321de023cda96ee0d2345d84c6ad29a170084605be7b402e6721f68b42d9",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001325-0000-277de6455d9c50c7.parquet",
-      "sha256": "277de6455d9c50c7b3f68d4f41b935ab166b6bae005bd0fe9fe41baad98d63aa",
-      "bytes": 271346,
-      "rows": 37,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:81b8694f-7e54-548c-b460-304edecc2b1d",
     "numina:b51f543e-38c9-58eb-af18-efa7913e53b1",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006627.lean\",\"8cb2c579bf25a4c39f20a9fa6de870eeb53bbe9f2ad2d1dc8c72c1dadfc60edf\",0,\"algebra_68918\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006628.lean\",\"066ec58af3d0cb21c941556f0e5a60acda234886051002096c85b17de38b25eb\",0,\"algebra_18928\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006629.lean\",\"7947ab8b40f0aa3d581ca95a918f01d54e0ec4399a1a32221e640ca76c24dd33\",0,\"algebra_96851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271346,
+      "path": "data/train/p9a/numina-001325-0000-277de6455d9c50c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "277de6455d9c50c7b3f68d4f41b935ab166b6bae005bd0fe9fe41baad98d63aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001326.json b/manifests/batches/numina/001326.json
index c8e2fa1c95210df8ea25963bc4425abc7a7707c6..88b475c8adcd92e70669923f85e7f9b21d8e0e96 100644
--- a/manifests/batches/numina/001326.json
+++ b/manifests/batches/numina/001326.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001326",
   "batch_fingerprint": "1e4b965c148a5c4d13aa85c4c4e593859a8155c1984c69cfe3d60a803d8f687f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001326-0000-76414d4b495976af.parquet",
-      "sha256": "76414d4b495976afe774a4215a9d9469b41f6753d7f5baf93d9f2ad3386c923e",
-      "bytes": 140448,
-      "rows": 31,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/numina-001326-0000-90d919f8ab3ab517.parquet",
-      "sha256": "90d919f8ab3ab517ec5ecb081300cc480259d550bf6922b7d7f29654dcde7701",
-      "bytes": 150291,
-      "rows": 8,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3ff98656-21b7-5527-82a3-a68d18ebf8e6",
     "numina:a1db6502-0277-504d-aa5e-fc925663f487",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006632.lean\",\"d16e4692bc027d7e7f47809bb83f2a753d82b4b948770cdf27196f9df3e13468\",0,\"algebra_234016\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006633.lean\",\"afb23400761874dd2263e3daba00f76ce3286b6cf9b053f5f1c72a2234101881\",0,\"algebra_212506\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006634.lean\",\"569eaba8558f45bc029b426969cc8e147dc07c232d06a9e8d14ac1e3d49637b3\",0,\"Algebra_24661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140448,
+      "path": "data/train/pe7/numina-001326-0000-76414d4b495976af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "76414d4b495976afe774a4215a9d9469b41f6753d7f5baf93d9f2ad3386c923e"
+    },
+    {
+      "bytes": 150291,
+      "path": "data/internal_test/pe7/numina-001326-0000-90d919f8ab3ab517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "90d919f8ab3ab517ec5ecb081300cc480259d550bf6922b7d7f29654dcde7701"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001327.json b/manifests/batches/numina/001327.json
index 4e2370b328f7c78a29730e7b42e3e6d26b497e50..3d84e09b055d189c0de278daf6653a8c8ceaf30a 100644
--- a/manifests/batches/numina/001327.json
+++ b/manifests/batches/numina/001327.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001327",
   "batch_fingerprint": "d440f80ea3dc06deea51084dc9987a2679da37f2311f95466c4b6e1dc3b7f483",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001327-0000-5300a396af8103d1.parquet",
-      "sha256": "5300a396af8103d138abd54d3fb3afb8eb3b2f9034a8094ee61238eed2105482",
-      "bytes": 97375,
-      "rows": 15,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/numina-001327-0000-784e60f06e408193.parquet",
-      "sha256": "784e60f06e408193f919259ca2de0011a5d885c5b95bb044142bd5c19694f132",
-      "bytes": 40174,
-      "rows": 9,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b7a9328-cb7f-5513-8dee-3af821fa66d0",
     "numina:2a84587a-474d-5a51-96ff-a5cb5ee0b52e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006637.lean\",\"e5e7680b88050e32e192d845a4ecab4f08f8bf6a550f8c066af694a308bca1a7\",0,\"inequalities_607167\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006638.lean\",\"cb09f62963ba70135644853f61ace131d3bf82572d5d681f9f3fa52569cf689e\",0,\"algebra_96854\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006639.lean\",\"6bef67415cf8f9bd8697eedf736be1ac5abce11cbd4e4f73bf1a209024d18588\",0,\"number_theory_4935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97375,
+      "path": "data/train/p66/numina-001327-0000-5300a396af8103d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5300a396af8103d138abd54d3fb3afb8eb3b2f9034a8094ee61238eed2105482"
+    },
+    {
+      "bytes": 40174,
+      "path": "data/internal_test/p66/numina-001327-0000-784e60f06e408193.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "784e60f06e408193f919259ca2de0011a5d885c5b95bb044142bd5c19694f132"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001328.json b/manifests/batches/numina/001328.json
index 83310d096b4363098a98dcc2088fca73b9758ee6..31d03c6dd0257394df93bd17e35e604639ec81f7 100644
--- a/manifests/batches/numina/001328.json
+++ b/manifests/batches/numina/001328.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001328",
   "batch_fingerprint": "96fd923890da8a0e443453b16056575da63feb0e753d3081d59504a0792a623b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001328-0000-11a4a02f536b4c0b.parquet",
-      "sha256": "11a4a02f536b4c0badc1f9d034b4176b3909164aee506b62fe327894e63ffbed",
-      "bytes": 235204,
-      "rows": 27,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/numina-001328-0000-7c4b42abaff14899.parquet",
-      "sha256": "7c4b42abaff14899de725548d97f573a58bf4d4b3e73f861f2088550dccc0261",
-      "bytes": 54270,
-      "rows": 3,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:83065352-fc49-55f6-956c-2f82564df1bc",
     "numina:93b47c12-c2b5-5aff-86f8-cf5b004d8ff5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006642.lean\",\"01c1bd2742e6a90f17b35577808dd8eda6d5f7374abf9b8d82a8a913b3a9f6f9\",0,\"algebra_16178\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006643.lean\",\"11d39699a9129ce8c738b81db6e0102ef507766ffa07806f120d935a8511de23\",0,\"number_theory_606072\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006644.lean\",\"9a9c037276b25508e5d0fbfbb209db759026b601511cae7f3fc0dbbd5435aa27\",0,\"algebra_19337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235204,
+      "path": "data/train/pe8/numina-001328-0000-11a4a02f536b4c0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "11a4a02f536b4c0badc1f9d034b4176b3909164aee506b62fe327894e63ffbed"
+    },
+    {
+      "bytes": 54270,
+      "path": "data/dev/pe8/numina-001328-0000-7c4b42abaff14899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7c4b42abaff14899de725548d97f573a58bf4d4b3e73f861f2088550dccc0261"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001329.json b/manifests/batches/numina/001329.json
index 86c8d8b10eeae73a1e1742f6a0932a976dd51768..360ff5e410b6f1270e625ad991aadfb412bb8035 100644
--- a/manifests/batches/numina/001329.json
+++ b/manifests/batches/numina/001329.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001329",
   "batch_fingerprint": "c25bcbe63b05063aa5504ea1c9b8fd674ad312f4319e7dcb146aa7784cb1ddfb",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001329-0000-0634824fc2ab512e.parquet",
-      "sha256": "0634824fc2ab512e6a5e25714326ec7bc35bc2fa69f8e9205d17aa32e2c98744",
-      "bytes": 169159,
-      "rows": 29,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/dev/numina-001329-0000-cfcbacac41a95da8.parquet",
-      "sha256": "cfcbacac41a95da87405bdc3afddd040587e54bfd5107197421dad05365cdd28",
-      "bytes": 78897,
-      "rows": 5,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    },
-    {
-      "path": "data/internal_test/numina-001329-0000-75ea463462fd9184.parquet",
-      "sha256": "75ea463462fd9184000982856726ef7ef0fbed3b55da3addb56554543fbffa46",
-      "bytes": 32252,
-      "rows": 3,
-      "revision": "25e226246b70de1e78b00c9d8e3db5bb5812aa98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09c6790c-3df6-5951-963e-79424577e83d",
     "numina:4a8cb5e0-dfc1-5d5e-81af-8f50a6091e79",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006647.lean\",\"20f6f45e1ccc827c2f9dfcd3fc4a67cd4c3f394eb4e94164b1a203c95f7a65f2\",0,\"algebra_170741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006648.lean\",\"30a86c13c2519888f8b7cda19e39a120b9fd1d02941cb73a65d115a74ba7d02b\",0,\"algebra_606074\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006649.lean\",\"72161985bd128419ca5983461134947ba6590ade2b69f87cc54cc2e6f39612bf\",0,\"number_theory_96872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169159,
+      "path": "data/train/pc2/numina-001329-0000-0634824fc2ab512e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "0634824fc2ab512e6a5e25714326ec7bc35bc2fa69f8e9205d17aa32e2c98744"
+    },
+    {
+      "bytes": 78897,
+      "path": "data/dev/pc2/numina-001329-0000-cfcbacac41a95da8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cfcbacac41a95da87405bdc3afddd040587e54bfd5107197421dad05365cdd28"
+    },
+    {
+      "bytes": 32252,
+      "path": "data/internal_test/pc2/numina-001329-0000-75ea463462fd9184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "75ea463462fd9184000982856726ef7ef0fbed3b55da3addb56554543fbffa46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001330.json b/manifests/batches/numina/001330.json
index 483f2b2819850540c8defb031180d259f319eb67..8ce3b1f21476af48e93988e04a5a6dd9dca0981c 100644
--- a/manifests/batches/numina/001330.json
+++ b/manifests/batches/numina/001330.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001330",
   "batch_fingerprint": "fd1773f23d546acb7219d08e3c61a524c2d8b09ed9ae346b97398a7dfd5682f2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001330-0000-0f41da6c43e2f631.parquet",
-      "sha256": "0f41da6c43e2f631d5921200dc09e3d4eaf07560d984ded3098e9af70d19cd9a",
-      "bytes": 151363,
-      "rows": 27,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/numina-001330-0000-be80ee95e647b79d.parquet",
-      "sha256": "be80ee95e647b79d265bb80290ee57c027428df364aeb430f076e8d3427b71c3",
-      "bytes": 385470,
-      "rows": 8,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:065f7f39-f9e0-54ba-bbc4-1885e5a12497",
     "numina:1b5196a9-1002-50ac-b65a-e248ef60a56a",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006652.lean\",\"9e9e4da24ee970facc1e33dbbbcfd6d418c7a2147e649a7b126712b338f92efc\",3,\"number_theory_4969_4\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006653.lean\",\"e6c9d6df442876bf1daa5bde966fe5486420f38c324090bbd0e03e69430a0d04\",0,\"number_theory_234188\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006654.lean\",\"a09b3eb382fe1e05f39747c52ad77f7e588188a72aaca1d5ba4bef3910bd454e\",0,\"other_24886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151363,
+      "path": "data/train/p3d/numina-001330-0000-0f41da6c43e2f631.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0f41da6c43e2f631d5921200dc09e3d4eaf07560d984ded3098e9af70d19cd9a"
+    },
+    {
+      "bytes": 385470,
+      "path": "data/internal_test/p3d/numina-001330-0000-be80ee95e647b79d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "be80ee95e647b79d265bb80290ee57c027428df364aeb430f076e8d3427b71c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001331.json b/manifests/batches/numina/001331.json
index 50a7c2f6afd378ffea0714cd4308a2b4ed4183f5..c1d2a8f6cc7e796cdb9b9106269c3f63fced50c6 100644
--- a/manifests/batches/numina/001331.json
+++ b/manifests/batches/numina/001331.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001331",
   "batch_fingerprint": "9f8bd3a3376599e7a8d8532b02078af958599a4327d1dfca2967af13de91171b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001331-0000-f6eb335672edc079.parquet",
-      "sha256": "f6eb335672edc0797b64b4f2f327d5f7eb2ebcc0dcdfa920ca7f1afadc7221b4",
-      "bytes": 173158,
-      "rows": 18,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/numina-001331-0000-c830db30bb6bb4b0.parquet",
-      "sha256": "c830db30bb6bb4b08a0dc124b543fa96f2b579a763bcb2a7967d150dde832cd5",
-      "bytes": 53054,
-      "rows": 8,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f0b4ee5-14fb-500b-a913-291cb1d3d20d",
     "numina:7187bdc5-2a30-5ae3-b3b1-aecfb3f4dc38",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006657.lean\",\"c0ae565c0e38e24ff5c78049912e60da036e83d1ea2650e3b5d49567e7befb08\",0,\"number_theory_96875\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006658.lean\",\"010509719d1447fb331f22763b8763fc5e407ea9a41b488572109e9ac378174e\",0,\"algebra_177259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006659.lean\",\"408fdc5d50b4c73d36641f2d1dc81bb5a80e512fcb2eee4e6dc6044132fa69ce\",1,\"number_theory_4970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173158,
+      "path": "data/train/p26/numina-001331-0000-f6eb335672edc079.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f6eb335672edc0797b64b4f2f327d5f7eb2ebcc0dcdfa920ca7f1afadc7221b4"
+    },
+    {
+      "bytes": 53054,
+      "path": "data/internal_test/p26/numina-001331-0000-c830db30bb6bb4b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c830db30bb6bb4b08a0dc124b543fa96f2b579a763bcb2a7967d150dde832cd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001332.json b/manifests/batches/numina/001332.json
index 70dcbfd61c775228708b2571efe9f139c6ff98f9..ba3e3707bef91acf176705d50d39b2f5b889ca5b 100644
--- a/manifests/batches/numina/001332.json
+++ b/manifests/batches/numina/001332.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001332",
   "batch_fingerprint": "182c7807dab2941c40ddfd2ebab873703b4c1ddbdf8092cc5a92b19961a12ccb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001332-0000-04d04ee943166d72.parquet",
-      "sha256": "04d04ee943166d7231f112675d770376ec111f15f169327b31c1ff9f93560896",
-      "bytes": 306805,
-      "rows": 36,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01225dcc-6370-52ca-aff1-a8b3d997bdce",
     "numina:123bf77e-5585-5ef4-9a46-165d6624f576",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006662.lean\",\"750b42aed372df81d3df31236b0fa05a373e030e9191701ea0ce595fdcae350a\",0,\"algebra_109876\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006663.lean\",\"611484cb0bfdf4e645bbc4f7caab1a936d1d23da572a2cecccff49f2b247fb5e\",0,\"number_theory_194242\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006664.lean\",\"04173ae3fc888cbf7b16ce4f17bc3e0000d7112f43d078057fc845103a1a13f1\",0,\"number_theory_4971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306805,
+      "path": "data/train/p32/numina-001332-0000-04d04ee943166d72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "04d04ee943166d7231f112675d770376ec111f15f169327b31c1ff9f93560896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001333.json b/manifests/batches/numina/001333.json
index b33dda8a4400e9f00d660ee8ea25cc9b03c21c44..fcd61d4305e290e7dcfbcdd62eb5c27e8c1cdb51 100644
--- a/manifests/batches/numina/001333.json
+++ b/manifests/batches/numina/001333.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001333",
   "batch_fingerprint": "86370e4114293d4716667c6ff947570d9492f2a6c0544cedae40928fbe43f7f8",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001333-0000-b854444af9b2b6be.parquet",
-      "sha256": "b854444af9b2b6be5b02435b72cade46ce2604ee523b9620a17c18b6d778ee5f",
-      "bytes": 98436,
-      "rows": 18,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/internal_test/numina-001333-0000-2c90141c0bde4f70.parquet",
-      "sha256": "2c90141c0bde4f708c9c2b31681b3d136b24164bb144efcc41c1e66c8e01d5d5",
-      "bytes": 45464,
-      "rows": 7,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2244ac97-ef3c-5284-98a7-22135eae295e",
     "numina:3cca9874-53e3-53c2-b609-67ac75f534b3",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006666.lean\",\"4839cc00238751a2f66986436aa5128b1fea24eb29a2a6fde7470f04bb25ae35\",0,\"algebra_605787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006667.lean\",\"0a07f8fffc3214abb8ed11a02903fc7c09f807950c89c7ff2ade65c375f31d9b\",0,\"probability_16042\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006669.lean\",\"41b74653722c528ca45f3b2297af290ee67842ed11aa07b8769900c6ea63596c\",0,\"algebra_21234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98436,
+      "path": "data/train/pc0/numina-001333-0000-b854444af9b2b6be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b854444af9b2b6be5b02435b72cade46ce2604ee523b9620a17c18b6d778ee5f"
+    },
+    {
+      "bytes": 45464,
+      "path": "data/internal_test/pc0/numina-001333-0000-2c90141c0bde4f70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2c90141c0bde4f708c9c2b31681b3d136b24164bb144efcc41c1e66c8e01d5d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001334.json b/manifests/batches/numina/001334.json
index 07ce643f5c4f88b063d7f7d8daa555f8d079ace0..15d1d2cf483e0db54530b54ff5c29774d742e6e6 100644
--- a/manifests/batches/numina/001334.json
+++ b/manifests/batches/numina/001334.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001334",
   "batch_fingerprint": "aa5b0ac6dcd9905cc9294f9c632ddbe88ab639da174f5b265a9900c22d50378a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001334-0000-d6feb8e137995356.parquet",
-      "sha256": "d6feb8e137995356b40b9ffae60b6629783a6a8413aa169776f10b0b838eadd6",
-      "bytes": 237460,
-      "rows": 19,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/numina-001334-0000-60214a53efa93e0e.parquet",
-      "sha256": "60214a53efa93e0e9165cff99c350292c9686592efa21a130dc8635c57ae39ea",
-      "bytes": 43557,
-      "rows": 6,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/internal_test/numina-001334-0000-3a65e2088bd26c08.parquet",
-      "sha256": "3a65e2088bd26c086bec4a2e49a7020c526aeb7bd91659418a99a3b558c217b6",
-      "bytes": 292779,
-      "rows": 22,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:29444221-40f5-5fea-b410-e195acdc160d",
     "numina:2b09aabd-5685-505e-8a1f-48d9b64219b5",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006672.lean\",\"2c7c9fb6a8365dc5c2b0748fa6a62db741645f20aec38eb0f18abf787877b669\",0,\"number_theory_95871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006673.lean\",\"eba471f2f987004c06fd73357f3dfceea455bbcda8bb0074f909c86fafde6ddd\",0,\"inequalities_605796\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006674.lean\",\"610d8ca7e4eb8a35f4cf35a69472546ad83d92302cf99190f38d0ebd9c667068\",0,\"algebra_15949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237460,
+      "path": "data/train/pe4/numina-001334-0000-d6feb8e137995356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d6feb8e137995356b40b9ffae60b6629783a6a8413aa169776f10b0b838eadd6"
+    },
+    {
+      "bytes": 43557,
+      "path": "data/dev/pe4/numina-001334-0000-60214a53efa93e0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "60214a53efa93e0e9165cff99c350292c9686592efa21a130dc8635c57ae39ea"
+    },
+    {
+      "bytes": 292779,
+      "path": "data/internal_test/pe4/numina-001334-0000-3a65e2088bd26c08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3a65e2088bd26c086bec4a2e49a7020c526aeb7bd91659418a99a3b558c217b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001335.json b/manifests/batches/numina/001335.json
index a15f386b65f4fcf3a644bc0ad05b705eaba27505..01ca55d5919e8baae4d92cb70f110c7c3c3e7521 100644
--- a/manifests/batches/numina/001335.json
+++ b/manifests/batches/numina/001335.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001335",
   "batch_fingerprint": "444ac286be8d992f26a8deca96ddb077f82dffd00863bf2cde3c85a5a55075e2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001335-0000-e2b3b9f3dc31d1b8.parquet",
-      "sha256": "e2b3b9f3dc31d1b812126f64848cecff9c879a90336d6e6d467784fe54534dfb",
-      "bytes": 89667,
-      "rows": 13,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17a174b8-ec16-5a6c-8554-41d140426fda",
     "numina:a5793150-cb59-5502-bf72-5f2890b71d37",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006677.lean\",\"592bc521bad8098ee15d8d63ef28d0130bba9667d68764f40bb9ffc81a5a9729\",0,\"inequalities_75556\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006678.lean\",\"8f91bc8d1ac56aa2d568dc69204d82022bb3d7a60e9a8c1794a7974a68fc2c76\",0,\"number_theory_19099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006679.lean\",\"c12f300658ddfef9375cfce381210abb64e5a53c8f6c700ccb2785a4f11495e8\",0,\"algebra_187681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89667,
+      "path": "data/train/p32/numina-001335-0000-e2b3b9f3dc31d1b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e2b3b9f3dc31d1b812126f64848cecff9c879a90336d6e6d467784fe54534dfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001336.json b/manifests/batches/numina/001336.json
index 1309404b1f8ab15f0674ddadd242e894f41e53e1..af67c39b847c7e677ae75cb4337ec5e265202601 100644
--- a/manifests/batches/numina/001336.json
+++ b/manifests/batches/numina/001336.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001336",
   "batch_fingerprint": "20c5265e68c40ef133c7b65fa88da6ec8e6c27c29c37ed2daf1fdfba75b0e3f9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001336-0000-a37700ce63b572b6.parquet",
-      "sha256": "a37700ce63b572b6a9a2682c16335727d673161befd956214c3efdde048da9e0",
-      "bytes": 466180,
-      "rows": 40,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/train/numina-001336-0001-387742fe379eba5c.parquet",
-      "sha256": "387742fe379eba5cdd5eb2fab3c7fdfc3e4cd3f89a514e39a3b4b07ee00cc73b",
-      "bytes": 795218,
-      "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    },
-    {
-      "path": "data/train/numina-001336-0002-55e3566c1685e15f.parquet",
-      "sha256": "55e3566c1685e15f2ec2a000d09c24aafbd526d39709dbd937f36ce2de7c6739",
-      "bytes": 589797,
-      "rows": 14,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15ab9e85-e21d-5876-91c8-6a1255c0b3f9",
     "numina:36a48cc8-483b-5f36-a0a0-a4692cc9d650",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006682.lean\",\"313bf7b50ab835b6868d8bce199ac6a4725db8ceb425980f3e4067a7ade94247\",0,\"number_theory_275985\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006683.lean\",\"0b4c8e3d039164697230a96450c67512a3f32486a83108bde400c1f65d29c78e\",0,\"algebra_11565\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006684.lean\",\"4af9e5c6ceb3d7352a2a4a69ee83106925d05ead1776c457e7546398ff03a071\",0,\"algebra_218625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466180,
+      "path": "data/train/pd9/numina-001336-0000-a37700ce63b572b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "a37700ce63b572b6a9a2682c16335727d673161befd956214c3efdde048da9e0"
+    },
+    {
+      "bytes": 795218,
+      "path": "data/train/pd9/numina-001336-0001-387742fe379eba5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "387742fe379eba5cdd5eb2fab3c7fdfc3e4cd3f89a514e39a3b4b07ee00cc73b"
+    },
+    {
+      "bytes": 589797,
+      "path": "data/train/pd9/numina-001336-0002-55e3566c1685e15f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "55e3566c1685e15f2ec2a000d09c24aafbd526d39709dbd937f36ce2de7c6739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001337.json b/manifests/batches/numina/001337.json
index b3972c11cc45064cda891047739b6fbb0d0a6b3d..c87dc58b68f13da2cd31e070eafaa709ff132211 100644
--- a/manifests/batches/numina/001337.json
+++ b/manifests/batches/numina/001337.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001337",
   "batch_fingerprint": "c1181611a0ddc26c33f91afee1fddcbf63ecd17d047616227326f4f39a97b22a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001337-0000-54d9c73638feb104.parquet",
-      "sha256": "54d9c73638feb104658cbc6b202616fb209d123c1aa53081e5370a83786153d2",
-      "bytes": 431077,
-      "rows": 26,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8e2924c1-f387-5264-99b3-be534ad3ae7c",
     "numina:a0cb9a97-2d7c-5b16-a4b1-5bdbc087072a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006687.lean\",\"aa5758f2d3cc87e8ceea648e9703e2ca8f9e74c0450b00f5f2bc5dcaa05b49fb\",0,\"number_theory_611117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006688.lean\",\"610e53cbdfa5161a20fd833100541c3ca3d442c4da339a498f06214ba5619046\",0,\"algebra_21406\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006689.lean\",\"8ae32f6b2eb1c2b1e0f500d06d71b927af627084f0f8e2e73fb4645ed8dd955d\",0,\"number_theory_611265\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 431077,
+      "path": "data/train/p14/numina-001337-0000-54d9c73638feb104.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "54d9c73638feb104658cbc6b202616fb209d123c1aa53081e5370a83786153d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001338.json b/manifests/batches/numina/001338.json
index ce3cb8e4ea56527d9258a33dc402bec92eefa429..92ea4490a8dcd194bc738bdc40a75aa00e982b85 100644
--- a/manifests/batches/numina/001338.json
+++ b/manifests/batches/numina/001338.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001338",
   "batch_fingerprint": "6ec6ca8b931ea0db498fa2788ef213a808c26ab7589fe182efe0f02f7f8cbe20",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001338-0000-f83115f8a2308422.parquet",
-      "sha256": "f83115f8a2308422b86a5aae6396b9c08d5036c5fe929c74499a5dccf98072e5",
-      "bytes": 469514,
-      "rows": 38,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    },
-    {
-      "path": "data/dev/numina-001338-0000-74731c73ce495fb7.parquet",
-      "sha256": "74731c73ce495fb785b55b3318a7e5b5ea3042a2e5e52a095c05a09ca21f5a3c",
-      "bytes": 59275,
-      "rows": 8,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11e0a70c-523a-5810-937a-b8308a0a17ed",
     "numina:33739d86-2a26-5ec1-bc30-05fd577d1bb7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006692.lean\",\"1e65fa61853707706084602a32b76f6c83bc1ae4e798027f8825d13a919897de\",0,\"number_theory_226525\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006693.lean\",\"76c4fb3c16c7b08a9688d6f6feed97fa0708893889db3928f99017745561ba1b\",0,\"number_theory_57655\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006694.lean\",\"a61417d93d6edc303bb4a1bd704e6568d23b87fb1f3e98cce43b75f10300f956\",0,\"inequalities_607510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 469514,
+      "path": "data/train/p9d/numina-001338-0000-f83115f8a2308422.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "f83115f8a2308422b86a5aae6396b9c08d5036c5fe929c74499a5dccf98072e5"
+    },
+    {
+      "bytes": 59275,
+      "path": "data/dev/p9d/numina-001338-0000-74731c73ce495fb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "74731c73ce495fb785b55b3318a7e5b5ea3042a2e5e52a095c05a09ca21f5a3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001339.json b/manifests/batches/numina/001339.json
index 96e2d48ddd074bbc15abc0545fdbf6116e73c8b0..cb80e7ac74aea7a4cb3b67fdbefc46f12b3fa9f6 100644
--- a/manifests/batches/numina/001339.json
+++ b/manifests/batches/numina/001339.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001339",
   "batch_fingerprint": "355b85b3d9ab037df20c439f361a7102e276c381f0bff287e2d28074e50bf937",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:18168733-06ac-5285-88a8-2837f9f6d96f",
+    "numina:2af47d6f-d96d-5b93-b440-a511e1ccffd5",
+    "numina:6f9247c4-00cf-5227-af5c-1d70e4bbf8ac",
+    "numina:a476292c-9504-5957-84e1-8334c53a211e",
+    "numina:c0d3928e-db38-58bb-94e6-7dcf57af2c65"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006695.lean\",\"96030ccd6092f28c7e9cdb5d4400b630c7912d7fae9cf59148460d8a90549140\",0,\"algebra_254500\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006696.lean\",\"b0fd4aaef5701da5db75495512696482ff156ab2779c0ef7a2f588325f0e17fa\",0,\"number_theory_19184\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006697.lean\",\"b24af41607417cec724064bb27aa3a868633a2699f3c798b9dcbd7f71e6a3954\",0,\"algebra_425452\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006698.lean\",\"f3c233bbf2e1ca9a933b02041e697cc984e98e177e869e9e0ffbb0a5ff482e0e\",0,\"algebra_109627\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006699.lean\",\"fad0b5c7be9b6a565f54fd0ef21db28e94277fe14a885c45d9c1de3429952ff9\",0,\"numbertheory_721\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001339-0000-ed6b8b03f046b8cf.parquet",
-      "sha256": "ed6b8b03f046b8cfe1c7599a5d9b2f8ff87a6aed38a1f417319827e2ac6aa605",
       "bytes": 561119,
+      "path": "data/train/p57/numina-001339-0000-ed6b8b03f046b8cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
+      "sha256": "ed6b8b03f046b8cfe1c7599a5d9b2f8ff87a6aed38a1f417319827e2ac6aa605"
     },
     {
-      "path": "data/train/numina-001339-0001-853c3dfe2c1dddc0.parquet",
-      "sha256": "853c3dfe2c1dddc085e7210efa25a24915d2b5082b3282d6f6273339f986f1f6",
       "bytes": 2392453,
+      "path": "data/train/p57/numina-001339-0001-853c3dfe2c1dddc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
+      "sha256": "853c3dfe2c1dddc085e7210efa25a24915d2b5082b3282d6f6273339f986f1f6"
     },
     {
-      "path": "data/train/numina-001339-0002-1ae56b1d6bd1008a.parquet",
-      "sha256": "1ae56b1d6bd1008a0599fb955a53956af71164965cd41b17ac9e6e98c6e24e4a",
       "bytes": 140731,
+      "path": "data/train/p57/numina-001339-0002-1ae56b1d6bd1008a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
+      "sha256": "1ae56b1d6bd1008a0599fb955a53956af71164965cd41b17ac9e6e98c6e24e4a"
     },
     {
-      "path": "data/dev/numina-001339-0000-9fccade7a67d0fbd.parquet",
-      "sha256": "9fccade7a67d0fbd07b36d76842ad07f20f39bf9aaa4138c5cd389e8be8e68a3",
       "bytes": 59413,
+      "path": "data/dev/p57/numina-001339-0000-9fccade7a67d0fbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
+      "sha256": "9fccade7a67d0fbd07b36d76842ad07f20f39bf9aaa4138c5cd389e8be8e68a3"
     },
     {
-      "path": "data/internal_test/numina-001339-0000-fa25423b818706e1.parquet",
-      "sha256": "fa25423b818706e14faa341551adf5ec748bd217c93488887514d2662f45e088",
       "bytes": 55611,
+      "path": "data/internal_test/p57/numina-001339-0000-fa25423b818706e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4ce5f60cc4e735dcd4aa8429e59a9dbe528a70fb"
+      "sha256": "fa25423b818706e14faa341551adf5ec748bd217c93488887514d2662f45e088"
     }
-  ],
-  "proof_ids": [
-    "numina:18168733-06ac-5285-88a8-2837f9f6d96f",
-    "numina:2af47d6f-d96d-5b93-b440-a511e1ccffd5",
-    "numina:6f9247c4-00cf-5227-af5c-1d70e4bbf8ac",
-    "numina:a476292c-9504-5957-84e1-8334c53a211e",
-    "numina:c0d3928e-db38-58bb-94e6-7dcf57af2c65"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006695.lean\",\"96030ccd6092f28c7e9cdb5d4400b630c7912d7fae9cf59148460d8a90549140\",0,\"algebra_254500\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006696.lean\",\"b0fd4aaef5701da5db75495512696482ff156ab2779c0ef7a2f588325f0e17fa\",0,\"number_theory_19184\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006697.lean\",\"b24af41607417cec724064bb27aa3a868633a2699f3c798b9dcbd7f71e6a3954\",0,\"algebra_425452\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006698.lean\",\"f3c233bbf2e1ca9a933b02041e697cc984e98e177e869e9e0ffbb0a5ff482e0e\",0,\"algebra_109627\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006699.lean\",\"fad0b5c7be9b6a565f54fd0ef21db28e94277fe14a885c45d9c1de3429952ff9\",0,\"numbertheory_721\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001340.json b/manifests/batches/numina/001340.json
index 0f9e98c246ed7d0a4ffbb03729d128601c4bb2e6..6202eb5a86d7ef934ddb246174c63d21aeb11910 100644
--- a/manifests/batches/numina/001340.json
+++ b/manifests/batches/numina/001340.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001340",
   "batch_fingerprint": "146f65ff2d162ae34beb66a966393a82cbf6e9ff65a5e4a273436f8b8b922c68",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001340-0000-0f543ac918abedb4.parquet",
-      "sha256": "0f543ac918abedb432d602a2c4e4bf1c78facb3e7fc70496e4f6aac8bb43721c",
-      "bytes": 354299,
-      "rows": 21,
-      "revision": "b9310f05cc696cd2184dd0b515cf6acc93e1cf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f80acfe-b2a1-511c-bb99-001e6f8bb6d3",
     "numina:3d1686d1-bbe9-5c88-988a-762412984d10",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006702.lean\",\"b932283ab4d9f48884628dc0b4b72fc6f582e4c2666719019bd2105ba2f68569\",0,\"number_theory_607295\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006703.lean\",\"8933f16564a5a646292be586d73e9a0ef27aca76262b770bece5cee34cfdc4ba\",0,\"algebra_621288\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006704.lean\",\"cda15ae57ecf631ac61d8ceff374c29166a76dff7bcdf48fff91dccf5c2c2325\",0,\"algebra_21413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354299,
+      "path": "data/train/p12/numina-001340-0000-0f543ac918abedb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0f543ac918abedb432d602a2c4e4bf1c78facb3e7fc70496e4f6aac8bb43721c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001341.json b/manifests/batches/numina/001341.json
index 9c90df5be57193214a43ee802c941493b40ca12e..7ee6911195736dd052477126fd2541558eb02bc1 100644
--- a/manifests/batches/numina/001341.json
+++ b/manifests/batches/numina/001341.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001341",
   "batch_fingerprint": "53ba9928258be85e11624cccaae5cbb66d249097c9b208048297c9435891911a",
   "evidence": {
@@ -55,22 +54,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001341-0000-f425130df8287911.parquet",
-      "sha256": "f425130df82879118f2c83752ca0e02ddd7da3faf95b98034014d6f50bffd0f3",
-      "bytes": 103133,
-      "rows": 20,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/numina-001341-0000-edcc2fb47666b334.parquet",
-      "sha256": "edcc2fb47666b3344574c3abdddf3f401304e44b929ceb168d8d8e5daae1a584",
-      "bytes": 99965,
-      "rows": 10,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10650c37-e536-5810-962a-05fa1a5587a8",
     "numina:363bf531-4b0c-595e-a18c-72a83999ddd9",
@@ -82,5 +66,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006706.lean\",\"f542ccc4cf8ec8cc6efeecf61320f9107e76eea8a175b0b15a4ed15f2b5aeef1\",0,\"algebra_440955\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006708.lean\",\"16607266b5a832fb79ef303e66db123d23ba2803add43238949811dd84663cf7\",0,\"algebra_21415\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006709.lean\",\"a8f19854c4727a1b174edae03cb5ca0a920c9e0ea25627fe010112ab4bf3ead9\",0,\"calculus_17066\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103133,
+      "path": "data/train/p5e/numina-001341-0000-f425130df8287911.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f425130df82879118f2c83752ca0e02ddd7da3faf95b98034014d6f50bffd0f3"
+    },
+    {
+      "bytes": 99965,
+      "path": "data/dev/p5e/numina-001341-0000-edcc2fb47666b334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "edcc2fb47666b3344574c3abdddf3f401304e44b929ceb168d8d8e5daae1a584"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001342.json b/manifests/batches/numina/001342.json
index c1962234532cf4d6582a16a999a7f1f8c55d0c4e..5a21ae5b7be2bf6632be510c1aa69b10d0b75410 100644
--- a/manifests/batches/numina/001342.json
+++ b/manifests/batches/numina/001342.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001342",
   "batch_fingerprint": "1f6e052936ae4eb740ff9ff347365b63a76d4d681bd044d4413c0d46f4226f49",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001342-0000-7989ae4b4680ea87.parquet",
-      "sha256": "7989ae4b4680ea870e727c95220990787cf7d5b689b6c8c1137873f1fdedae5f",
-      "bytes": 392989,
-      "rows": 47,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2349ac1c-300c-5c13-990d-2ac7b17d29b4",
     "numina:32d5762e-0df0-5ad9-98df-964326d3ff0c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006712.lean\",\"0f680a1cbb6e94b81d3b741e8479892832f6618692269506614b8b9ada0f4ffc\",0,\"algebra_213623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006713.lean\",\"200717ea66dfdf8758a3265bb399b2b027f1c4b75b270621f5fe86dc54579721\",0,\"inequalities_292914\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006714.lean\",\"2dfd15652067e05f1bc3ec796281ce7e7956634c7d30f700664136489abb6f87\",0,\"algebra_13078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392989,
+      "path": "data/train/p83/numina-001342-0000-7989ae4b4680ea87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "7989ae4b4680ea870e727c95220990787cf7d5b689b6c8c1137873f1fdedae5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001343.json b/manifests/batches/numina/001343.json
index b07c0c4bbab4bb536db1dcce57812a46803ab39e..c0b4fe44b268575c4c771ebb4b21e42620215b44 100644
--- a/manifests/batches/numina/001343.json
+++ b/manifests/batches/numina/001343.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001343",
   "batch_fingerprint": "fa8c084fb946c3390a8d44eade048838d4adc26f25bca52f628338ec59e3c242",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001343-0000-83d21108bb7b4b6b.parquet",
-      "sha256": "83d21108bb7b4b6bf8d197fbec3c772b977ec0e3a971fa3ea4aa751190ff3995",
-      "bytes": 339717,
-      "rows": 25,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1565703f-1366-5b92-a1b1-4b48e5be7a8a",
     "numina:74b2a617-db92-5e55-9f9e-4b41ef752ea6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006717.lean\",\"ea215c897409953c106ee4f0e951670256fe33d63db6eea231935b8b03fe9622\",0,\"algebra_185416\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006718.lean\",\"172b2b3baca0d49ebacafac0b04981c95063cc15c7abbb4c0c1e4592fc5d9a4d\",0,\"inequalities_606017\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006719.lean\",\"717cdb800ffd33450f6fe3bccf9ac18d0514ff999ce10bb952a8bbfa522b8394\",0,\"inequalities_292930\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339717,
+      "path": "data/train/p68/numina-001343-0000-83d21108bb7b4b6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "83d21108bb7b4b6bf8d197fbec3c772b977ec0e3a971fa3ea4aa751190ff3995"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001344.json b/manifests/batches/numina/001344.json
index 383ef1c6e88c902e4c28ce3ee05efb1ff2e16000..7ddd2a14ac84e807cfe83479bd7edcf90f7c6e9c 100644
--- a/manifests/batches/numina/001344.json
+++ b/manifests/batches/numina/001344.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001344",
   "batch_fingerprint": "d5e61bc5235399697d76dea9e6d2401f4ddc53b4aac91f0022089d0872502f5c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001344-0000-92d3376d36ee9b63.parquet",
-      "sha256": "92d3376d36ee9b630900cb5fb07e81d432946418a66be27fb186ffb026572257",
-      "bytes": 90452,
-      "rows": 10,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/numina-001344-0000-5c60771576c06993.parquet",
-      "sha256": "5c60771576c06993eb845d5bb420779d69b1a9bb1a77bfc4aa95e0f72c8d2a0a",
-      "bytes": 49840,
-      "rows": 5,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:52f16799-a7aa-5d03-84bb-fd4932e4508b",
     "numina:6e147c70-bbad-585b-844f-0b9ca1ddadc5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006722.lean\",\"46a10c95efbaf268e01cc738d013413c1f8de6f9df997f6d9cfcedf01261b06c\",0,\"algebra_96678\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006723.lean\",\"f1bdfd1062c8c7fb86ed118b23b2df0760376259f9383e9b9923da2a30c35b1a\",0,\"algebra_5682\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006724.lean\",\"9fc6b5cbfcc59d598bf32193b277c1593d5009425329bf25f18640c9bc475b7b\",0,\"algebra_52475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90452,
+      "path": "data/train/p96/numina-001344-0000-92d3376d36ee9b63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "92d3376d36ee9b630900cb5fb07e81d432946418a66be27fb186ffb026572257"
+    },
+    {
+      "bytes": 49840,
+      "path": "data/internal_test/p96/numina-001344-0000-5c60771576c06993.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5c60771576c06993eb845d5bb420779d69b1a9bb1a77bfc4aa95e0f72c8d2a0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001345.json b/manifests/batches/numina/001345.json
index c0277ced19f5b4ff4f21b1d1119bd2c494104f43..c8a67ab5ff5b4a3a9004b03cbb14b4921e15d670 100644
--- a/manifests/batches/numina/001345.json
+++ b/manifests/batches/numina/001345.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001345",
   "batch_fingerprint": "bc92534a40a569a8f175b9f9d6dd558a11ef02f3fbc55d95e0625a75f4c20a66",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001345-0000-dcba5d0fc9460a59.parquet",
-      "sha256": "dcba5d0fc9460a593e0a31e141ab5ab1adb7283502847fd7e01ad446270e510f",
-      "bytes": 162492,
-      "rows": 23,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/numina-001345-0000-e9c6b676d1d983e6.parquet",
-      "sha256": "e9c6b676d1d983e618a13ce1c6fceee544e320ded1b51f0e527b6ba1c36b16d3",
-      "bytes": 89440,
-      "rows": 8,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3719e144-df13-5f3e-bbb4-7abab9406cb6",
     "numina:da514e4c-d375-5cc5-b5e3-f6409bcd6619",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006727.lean\",\"c4264710c99f0d992df49dd1ab8653c4b0bf7d0dccda1e79c45c721fd65b654c\",0,\"inequalities_211803\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006728.lean\",\"616bb5be75f77953685b49b182c4915a849735428a3a51c4c5c9430951b3098b\",0,\"algebra_621441\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006729.lean\",\"7d610a4cd54c759b4b507aeec2b36b11267ff5773d04f200fa9aafff755fc235\",0,\"algebra_96688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162492,
+      "path": "data/train/pb1/numina-001345-0000-dcba5d0fc9460a59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "dcba5d0fc9460a593e0a31e141ab5ab1adb7283502847fd7e01ad446270e510f"
+    },
+    {
+      "bytes": 89440,
+      "path": "data/internal_test/pb1/numina-001345-0000-e9c6b676d1d983e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e9c6b676d1d983e618a13ce1c6fceee544e320ded1b51f0e527b6ba1c36b16d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001346.json b/manifests/batches/numina/001346.json
index ecff017d4520a67db32652649f6510fd0ec34f7a..6c9e1394bbb51cfb7f2c277940fe712616909184 100644
--- a/manifests/batches/numina/001346.json
+++ b/manifests/batches/numina/001346.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001346",
   "batch_fingerprint": "44c67f91992d6fd404b16b6edea06c999e06d7f185ec0d70d762476c1a1003b3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001346-0000-988b2b42eaea2797.parquet",
-      "sha256": "988b2b42eaea2797f88f831fb836768f183a930b88c93899a724d16775287136",
-      "bytes": 385711,
-      "rows": 21,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/numina-001346-0000-d0d48b8a1ab7cdb8.parquet",
-      "sha256": "d0d48b8a1ab7cdb8330a59227df639c7f60120eee461da60fa991acc1e084d3a",
-      "bytes": 41434,
-      "rows": 4,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15c17da2-c109-5cbc-a338-76f78ab0c645",
     "numina:16791a9d-1aca-5258-af69-b8d97b9bbb4c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006732.lean\",\"4f576ef7737b7ff468d8c2c1b4dc51c002ef5672b73257b5616d64aa17b36e7d\",0,\"algebra_185569\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006733.lean\",\"78e5a695392456740b9284cc94101a9230bd3b7d52510beba1e1e12c4b570e69\",0,\"algebra_606026\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006734.lean\",\"7f9816c83bd037fde6b9eb1c8c772117a20aefa4aa821068248c95ccd1418c0c\",0,\"number_theory_604818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385711,
+      "path": "data/train/p1c/numina-001346-0000-988b2b42eaea2797.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "988b2b42eaea2797f88f831fb836768f183a930b88c93899a724d16775287136"
+    },
+    {
+      "bytes": 41434,
+      "path": "data/dev/p1c/numina-001346-0000-d0d48b8a1ab7cdb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d0d48b8a1ab7cdb8330a59227df639c7f60120eee461da60fa991acc1e084d3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001347.json b/manifests/batches/numina/001347.json
index a556e8a63ff737c37f429fec4a99142bf7513314..eae90a39dc9e852d3e15a067a65533cec365e96b 100644
--- a/manifests/batches/numina/001347.json
+++ b/manifests/batches/numina/001347.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001347",
   "batch_fingerprint": "fcaef4a9bcb6e9df1c688b2c00ce2244ac7b028b30fde11ca6e5e4a23ccf8a93",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001347-0000-996e65317a764ec0.parquet",
-      "sha256": "996e65317a764ec0739ee7d53655b0a56e071f1ffa444b341f64625bfb380871",
-      "bytes": 289023,
-      "rows": 30,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5252d17a-4b5b-5a8e-8ca9-0b636ee7a894",
     "numina:79e4c725-a34a-54fc-acb9-a04b06f53cc4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006737.lean\",\"a687891029dad31bb8c6c82a0458ea658469454c360d402bbd9ae36852305d50\",0,\"number_theory_292952\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006738.lean\",\"b860b68aa22253556a88c59bfc4d3da02c0f92bb171b7fa6b5f330ff19c88762\",0,\"algebra_9314\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006739.lean\",\"35ecb84ce1876296c114286e9dd2072ba4e69160b9868617076d09d3b1203dc9\",0,\"algebra_97297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289023,
+      "path": "data/train/p85/numina-001347-0000-996e65317a764ec0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "996e65317a764ec0739ee7d53655b0a56e071f1ffa444b341f64625bfb380871"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001348.json b/manifests/batches/numina/001348.json
index 78fe3221f6a907c8bb742ed167a456efa26b978c..4c7171880f915509811999a35d01dce195960558 100644
--- a/manifests/batches/numina/001348.json
+++ b/manifests/batches/numina/001348.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001348",
   "batch_fingerprint": "1538a47494d42fdf53363c21e6948c8016e452040926d291e7b802c296cda0b6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001348-0000-eee5ee191723373f.parquet",
-      "sha256": "eee5ee191723373f0e964da1fc3b5334bcad77193733ab7897981996ad2c1a70",
-      "bytes": 235976,
-      "rows": 56,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/numina-001348-0000-76802813aad07cf4.parquet",
-      "sha256": "76802813aad07cf491d753092cfcb4e70bbdcb941a13fe74ce9374fdc03797e6",
-      "bytes": 28824,
-      "rows": 2,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bd33b17-db20-5c09-bbf2-b8fb2711e76c",
     "numina:30c3af64-5fa5-5c82-b413-8fa729cd9fda",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006742.lean\",\"258dd90d038ffe5214e4e7daea15c6fd53bd593bfb7c7b5363a5a955e4b142b0\",0,\"algebra_622178\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006743.lean\",\"533c806d9fc212c900a5192e879f30925df95e5d03c7c3c92a3255705efb9eab\",0,\"number_theory_114867\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006744.lean\",\"a73422ce32460d9988fc96a291538c7932e95bee2acf270dc0f4279ea4538cbd\",0,\"algebra_9315\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235976,
+      "path": "data/train/p32/numina-001348-0000-eee5ee191723373f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "eee5ee191723373f0e964da1fc3b5334bcad77193733ab7897981996ad2c1a70"
+    },
+    {
+      "bytes": 28824,
+      "path": "data/internal_test/p32/numina-001348-0000-76802813aad07cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "76802813aad07cf491d753092cfcb4e70bbdcb941a13fe74ce9374fdc03797e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001349.json b/manifests/batches/numina/001349.json
index 277d59048dce5710a6404adacfadfbd65ffcf4aa..026f619b70d8f202e1ceea6d767ed6cf6729c9bf 100644
--- a/manifests/batches/numina/001349.json
+++ b/manifests/batches/numina/001349.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001349",
   "batch_fingerprint": "c1c7783cd14b61706e0abbf949206e047b1a7c0e4510af019fa2f91052f404bb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001349-0000-b2fab327fa79e6f2.parquet",
-      "sha256": "b2fab327fa79e6f25c30c4755a007ff41f85ffa230de7e747ce4fe65cdcc15d6",
-      "bytes": 304869,
-      "rows": 62,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23a641d6-92b1-5238-9e91-b36931b18307",
     "numina:31332adf-d152-58ce-ba62-f9874fdcfc98",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006747.lean\",\"7387be604579f17a3d8f0a8f19669ad9c04d4ac3a392f3d0c95fa2af38d0db86\",0,\"algebra_179067\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006748.lean\",\"ee0ed9c0d447edd301d35449c63b1bab82f7b1cb18ee99dacca795bd726619b9\",0,\"algebra_263121\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006749.lean\",\"3637b3bab0b27a6b2e636fb16fba8e4b72afd11f84cddf7844638ff50542beae\",0,\"algebra_607474\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304869,
+      "path": "data/train/pa3/numina-001349-0000-b2fab327fa79e6f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "b2fab327fa79e6f25c30c4755a007ff41f85ffa230de7e747ce4fe65cdcc15d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001350.json b/manifests/batches/numina/001350.json
index ef554241b2ef75745320fcf8b1c8cc95ea21c68b..4fa2d7182fa22b5a826d8ddffed87d520c1375c4 100644
--- a/manifests/batches/numina/001350.json
+++ b/manifests/batches/numina/001350.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001350",
   "batch_fingerprint": "5e7b6a28c2a3b0fbfcd3c75235e6cb2b206db7e5ffcf21ea9ab5e77e7d6f82b5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001350-0000-0588afb36e67dd31.parquet",
-      "sha256": "0588afb36e67dd31bb60d975154f4ba03944ee3d159344faaac0c34e600edabd",
-      "bytes": 515767,
-      "rows": 21,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/dev/numina-001350-0000-a3b4a1035d7a1981.parquet",
-      "sha256": "a3b4a1035d7a1981d61ea68c88e9fe989acd3c34c92aeca0a9b56883b18e0e3d",
-      "bytes": 62472,
-      "rows": 4,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/numina-001350-0000-7b41e02223804812.parquet",
-      "sha256": "7b41e0222380481230aa90cc9d499e78e9c953f3de39071815b596a0ee2be52d",
-      "bytes": 76342,
-      "rows": 7,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11f81fc7-e4bb-5484-a8e0-47671404ac0a",
     "numina:3b301d3b-fba3-5c8b-9f9b-369bf6600a25",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006752.lean\",\"2bc39543cbfc189bf817fcef6144fb1ecd3919334434b31d2f6f42bd2480226d\",0,\"algebra_99742\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006753.lean\",\"7d60df065bc753bcee541ad6d40d22c3eaa5af8790ea9f5d4d715a0d415bf426\",0,\"algebra_179195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006754.lean\",\"a1b6d023f2ad8127440504af3b8b0e103de0a0a20668f64921d6a07a5bd013e5\",0,\"algebra_263198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515767,
+      "path": "data/train/p0c/numina-001350-0000-0588afb36e67dd31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0588afb36e67dd31bb60d975154f4ba03944ee3d159344faaac0c34e600edabd"
+    },
+    {
+      "bytes": 62472,
+      "path": "data/dev/p0c/numina-001350-0000-a3b4a1035d7a1981.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a3b4a1035d7a1981d61ea68c88e9fe989acd3c34c92aeca0a9b56883b18e0e3d"
+    },
+    {
+      "bytes": 76342,
+      "path": "data/internal_test/p0c/numina-001350-0000-7b41e02223804812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7b41e0222380481230aa90cc9d499e78e9c953f3de39071815b596a0ee2be52d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001351.json b/manifests/batches/numina/001351.json
index ffea5df7c72288491bdc6434a24ebf7c467deb57..8fe8dae43423624829b1da4f526cf4165c464197 100644
--- a/manifests/batches/numina/001351.json
+++ b/manifests/batches/numina/001351.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001351",
   "batch_fingerprint": "189477211c2ede243a8b3d13c8086c69b0051311153c88a06fc39aa0ad04e6b7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001351-0000-0c5ff0ffda5aa083.parquet",
-      "sha256": "0c5ff0ffda5aa08321e94723492dd8fa928757c87501d098a8db92197d618069",
-      "bytes": 112068,
-      "rows": 14,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    },
-    {
-      "path": "data/internal_test/numina-001351-0000-9201ff7927ae2672.parquet",
-      "sha256": "9201ff7927ae267250a996f89bde8864a94f6b5c80afdb0543649b6eb090eb16",
-      "bytes": 83922,
-      "rows": 8,
-      "revision": "21365509adb0a8318c02eac708c92453cc00674e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6beffddf-087a-5d0f-931d-bd1510e2ad47",
     "numina:6e9e1ef1-0851-588b-b42b-77cf22753264",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006757.lean\",\"8d524f9cb5d3707abce55a830ccca2a4aabf9ae6c2389cce7c5763eb058f1426\",0,\"number_theory_4976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006758.lean\",\"e8f139a46ba5b21eabaebd04515b557f77469998d4610d42bad05454f0db0a3b\",0,\"inequalities_323830\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006759.lean\",\"b840e7970810f9501b802dffecf2455b42e6270d5d9a3650cbb4abac31aae360\",0,\"algebra_150167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112068,
+      "path": "data/train/p20/numina-001351-0000-0c5ff0ffda5aa083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0c5ff0ffda5aa08321e94723492dd8fa928757c87501d098a8db92197d618069"
+    },
+    {
+      "bytes": 83922,
+      "path": "data/internal_test/p20/numina-001351-0000-9201ff7927ae2672.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9201ff7927ae267250a996f89bde8864a94f6b5c80afdb0543649b6eb090eb16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001352.json b/manifests/batches/numina/001352.json
index 8516c3829e0efa9d799256fb50bfdc13f6ead8d0..e644fb2cad730140848950527d76be08dd67f6bb 100644
--- a/manifests/batches/numina/001352.json
+++ b/manifests/batches/numina/001352.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001352",
   "batch_fingerprint": "c776d9c4ffb1dd1822fdacfc2cec0cfa49383ab26be9576522a203fff6113b77",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001352-0000-71fe7ed7083008ac.parquet",
-      "sha256": "71fe7ed7083008acfaa5c60c7a11cd1be405e612a1d3061128a1110a36a8a3d1",
-      "bytes": 516903,
-      "rows": 62,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01bda917-99f4-5ba2-ae71-5a6eba27fc09",
     "numina:650b03c5-f303-531e-9148-421c94a8e535",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006762.lean\",\"1a1aa0ac2c8432fc683ef1299f1e45edf7e6846dc77f25251a0ab5b080c3e2f8\",0,\"number_theory_4983\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006763.lean\",\"fdf75ca81c73b20056d01b53f2771e73ba4a970f86e96c2710ec4fa2edb8516f\",0,\"algebra_218486\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006764.lean\",\"e81aa264ba078a0cfc9fec6fde03b9cd33b71c30609718aaebda0ed1af51e401\",0,\"algebra_114910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 516903,
+      "path": "data/train/p2d/numina-001352-0000-71fe7ed7083008ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "71fe7ed7083008acfaa5c60c7a11cd1be405e612a1d3061128a1110a36a8a3d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001353.json b/manifests/batches/numina/001353.json
index 2a610eb4fff40d65cdfae300689015ea63a6714c..3a87d3e5b0f05fb4d02de2e70b13661185b25a8a 100644
--- a/manifests/batches/numina/001353.json
+++ b/manifests/batches/numina/001353.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001353",
   "batch_fingerprint": "385edd173e342fd8f9a43d336d17b092fa4ae03ff3e6203427236f051ea0a9fe",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001353-0000-46df7274c802141f.parquet",
-      "sha256": "46df7274c802141fff804a46ef95fb0a8a112c3deb90ef9e6dfbc00c23e8d7be",
-      "bytes": 618611,
-      "rows": 174,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/train/numina-001353-0001-a73b7490527d6d1f.parquet",
-      "sha256": "a73b7490527d6d1f98e6a761c5bc5296ba8b5f1d094542bf6aa81535eff699d6",
-      "bytes": 567283,
-      "rows": 116,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    },
-    {
-      "path": "data/train/numina-001353-0002-6cee30cce7d0b3f9.parquet",
-      "sha256": "6cee30cce7d0b3f93888306daa8938ce196cadb61b80a794b2a6657f8bfc2098",
-      "bytes": 60596,
-      "rows": 3,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ac76191-8142-53cf-80da-012061aa3f9e",
     "numina:7dd99596-e82e-5ebc-9606-1a8168c3e0fd",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006767.lean\",\"80d4f8cbb013f49b6cfff6597e6a222b18073a0a4599243e4b9c7300bf5cafb1\",0,\"algebra_283661\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006768.lean\",\"b96dec57dded367f7cc7b4a83cd8260dc127d70dde7bca13b66582d442bdf49e\",0,\"number_theory_4984\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006769.lean\",\"6ff71d67717c82591ac5274fbddd48c0660133c4e36ad82823f66d061c871f43\",0,\"algebra_324107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 618611,
+      "path": "data/train/pb6/numina-001353-0000-46df7274c802141f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 174,
+      "sha256": "46df7274c802141fff804a46ef95fb0a8a112c3deb90ef9e6dfbc00c23e8d7be"
+    },
+    {
+      "bytes": 567283,
+      "path": "data/train/pb6/numina-001353-0001-a73b7490527d6d1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 116,
+      "sha256": "a73b7490527d6d1f98e6a761c5bc5296ba8b5f1d094542bf6aa81535eff699d6"
+    },
+    {
+      "bytes": 60596,
+      "path": "data/train/pb6/numina-001353-0002-6cee30cce7d0b3f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6cee30cce7d0b3f93888306daa8938ce196cadb61b80a794b2a6657f8bfc2098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001354.json b/manifests/batches/numina/001354.json
index b9580e9595e9e59d0586da9c1273ba66715b8562..17912d4a7fc3ad6c19902326fdc4776a30009173 100644
--- a/manifests/batches/numina/001354.json
+++ b/manifests/batches/numina/001354.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001354",
   "batch_fingerprint": "50c3ba56769042c8e7e6bc59303b440a5172ae12c519e9ee9c77a42cae0926e9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001354-0000-d205286ad2c3cebe.parquet",
-      "sha256": "d205286ad2c3cebe4935a6cc7824aa7944e3c7afe162bfb3e3ed11ebd0249395",
-      "bytes": 289135,
-      "rows": 46,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:61dfa14c-ad59-51ff-83d1-20477773b6a6",
     "numina:64bde4b6-1e6e-58be-9e02-68235d704111",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006772.lean\",\"0f15a16a352a11dbe9177f03657685e837627ae3e40e85c69a8595325d2f1850\",0,\"number_theory_4986\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006773.lean\",\"32abda0dffc11cb9702a3bde7ae72295d160915e33a1574cabbf7af8bd97fc93\",0,\"algebra_324310\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006774.lean\",\"e8a0a59df193f5ae5156670cfd9f0b239888ab71fb0fa1b7f7874bc2a4031e49\",0,\"number_theory_162499\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289135,
+      "path": "data/train/pd6/numina-001354-0000-d205286ad2c3cebe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "d205286ad2c3cebe4935a6cc7824aa7944e3c7afe162bfb3e3ed11ebd0249395"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001355.json b/manifests/batches/numina/001355.json
index f3963fab4079fb4e730863f254f5a62ae1467b20..a872e80792b4d33ee03f60d6074c1f3010c2a656 100644
--- a/manifests/batches/numina/001355.json
+++ b/manifests/batches/numina/001355.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001355",
   "batch_fingerprint": "21b2e4408fa5220e05d74a98a8019d9ccd655b479b7f12dca87af0b327440650",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001355-0000-c7c777223bf7706c.parquet",
-      "sha256": "c7c777223bf7706c433215799dade1b0b478f79eaf4d29ecec0bc7847e1f2dcb",
-      "bytes": 162454,
-      "rows": 15,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
-    },
-    {
-      "path": "data/internal_test/numina-001355-0000-54e2112624e1ab0a.parquet",
-      "sha256": "54e2112624e1ab0ab7a2a98206d1d4049d95f07755392ba3d5e360192c8912dd",
-      "bytes": 20355,
-      "rows": 1,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:333398d6-6078-577d-a450-98805966748e",
     "numina:b85742e5-f845-5fa5-a5f7-81c781e6078d",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006777.lean\",\"d9023dc6f2cdba0e1ca8453e7afafd9d7988f59ce968041a2befe58f106c5df2\",0,\"algebra_13275\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006778.lean\",\"2cfce1231e0b7755038811ccf4a94fe201a54b9226ef4ed252bb5b002a874c3c\",0,\"algebra_21938\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006779.lean\",\"4af92dfad807315d68a07f09f88cda7557e8bdf74a9c92a5dc604c31fdd88512\",0,\"algebra_15820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162454,
+      "path": "data/train/pfc/numina-001355-0000-c7c777223bf7706c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c7c777223bf7706c433215799dade1b0b478f79eaf4d29ecec0bc7847e1f2dcb"
+    },
+    {
+      "bytes": 20355,
+      "path": "data/internal_test/pfc/numina-001355-0000-54e2112624e1ab0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "54e2112624e1ab0ab7a2a98206d1d4049d95f07755392ba3d5e360192c8912dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001356.json b/manifests/batches/numina/001356.json
index cb7d899a434e36bbb237a5aafec11bd1338280b1..520d534e728f9fc3ff9604778efa7e13c3729691 100644
--- a/manifests/batches/numina/001356.json
+++ b/manifests/batches/numina/001356.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001356",
   "batch_fingerprint": "6d39ff63afaa287a84bc50d23a217142f41f78c169c7558f9fa5321bb53368aa",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2d283418-efbf-5ebb-a989-310c1a6f6386",
+    "numina:57515908-0e15-5be9-a4f7-4cf05d470093",
+    "numina:63bff39e-bee8-53c3-9dbd-a35ec796b07d",
+    "numina:690438fd-22ad-56cc-a21b-91961fc1e714",
+    "numina:c6b0b586-6a99-56d4-8c3c-033fa115b85c"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006780.lean\",\"6b68a960422cd6231c679ccc12e2d072dd8c58e1777f50dacf451ae1060fd04c\",0,\"algebra_261949\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006781.lean\",\"d53561533d50ac4b3e5e46e2c135ff5bd6149387b320a7432adc6251fd711d11\",0,\"algebra_607171\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006782.lean\",\"34300298200c36b3eaeeed5c3bcbebf6ddcfbed9832a6ca67bd5605ed98bd405\",0,\"number_theory_19326\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006783.lean\",\"7a4df7e38c750e57c3036d54935b571fd4fe9db1ac7dcc961944819ae89a19ae\",0,\"algebra_9374\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006784.lean\",\"f40cff506c046cc9a9258ae6cc142c6ae61d8907db121456fcc2f79119750a46\",0,\"calculus_185588\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001356-0000-fdd6aa0f81e03dc9.parquet",
-      "sha256": "fdd6aa0f81e03dc91bdb9a30a78b3ecf3f2c4dbe3b3590889090d3991f9698d8",
       "bytes": 136173,
+      "path": "data/train/p50/numina-001356-0000-fdd6aa0f81e03dc9.parquet",
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       "rows": 11,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
+      "sha256": "fdd6aa0f81e03dc91bdb9a30a78b3ecf3f2c4dbe3b3590889090d3991f9698d8"
     },
     {
-      "path": "data/internal_test/numina-001356-0000-0589151ca99019f5.parquet",
-      "sha256": "0589151ca99019f55f34e4230de8ca00e72d97c78e57c231ccacd2f809f78f56",
       "bytes": 211979,
+      "path": "data/internal_test/p50/numina-001356-0000-0589151ca99019f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
+      "sha256": "0589151ca99019f55f34e4230de8ca00e72d97c78e57c231ccacd2f809f78f56"
     },
     {
-      "path": "data/internal_test/numina-001356-0001-a16c6e6e1d6e2a17.parquet",
-      "sha256": "a16c6e6e1d6e2a174e94b6a240e3cdc476e43fa0a6d7de0b5cbfd3809b11bc81",
       "bytes": 4615517,
+      "path": "data/internal_test/p50/numina-001356-0001-a16c6e6e1d6e2a17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
+      "sha256": "a16c6e6e1d6e2a174e94b6a240e3cdc476e43fa0a6d7de0b5cbfd3809b11bc81"
     },
     {
-      "path": "data/internal_test/numina-001356-0002-065181d1b4d382a9.parquet",
-      "sha256": "065181d1b4d382a93c848f1b2b78439e91c40dba8fd9dc13e1d2f4200dc7ecef",
       "bytes": 55369,
+      "path": "data/internal_test/p50/numina-001356-0002-065181d1b4d382a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "6b64e4edbf7e5dead141a77f2668e54a165a603c"
+      "sha256": "065181d1b4d382a93c848f1b2b78439e91c40dba8fd9dc13e1d2f4200dc7ecef"
     }
-  ],
-  "proof_ids": [
-    "numina:2d283418-efbf-5ebb-a989-310c1a6f6386",
-    "numina:57515908-0e15-5be9-a4f7-4cf05d470093",
-    "numina:63bff39e-bee8-53c3-9dbd-a35ec796b07d",
-    "numina:690438fd-22ad-56cc-a21b-91961fc1e714",
-    "numina:c6b0b586-6a99-56d4-8c3c-033fa115b85c"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006780.lean\",\"6b68a960422cd6231c679ccc12e2d072dd8c58e1777f50dacf451ae1060fd04c\",0,\"algebra_261949\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006781.lean\",\"d53561533d50ac4b3e5e46e2c135ff5bd6149387b320a7432adc6251fd711d11\",0,\"algebra_607171\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006782.lean\",\"34300298200c36b3eaeeed5c3bcbebf6ddcfbed9832a6ca67bd5605ed98bd405\",0,\"number_theory_19326\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006783.lean\",\"7a4df7e38c750e57c3036d54935b571fd4fe9db1ac7dcc961944819ae89a19ae\",0,\"algebra_9374\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006784.lean\",\"f40cff506c046cc9a9258ae6cc142c6ae61d8907db121456fcc2f79119750a46\",0,\"calculus_185588\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001357.json b/manifests/batches/numina/001357.json
index d319454e123e20a76900baedab313a089e7a31eb..983c10d56d477c8114a314cc4fe6d668e53672e0 100644
--- a/manifests/batches/numina/001357.json
+++ b/manifests/batches/numina/001357.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001357",
   "batch_fingerprint": "f6b634219e689675ab288e76ec91931251bf2095952f26e769c4af4f6ffcf2d2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001357-0000-f9d33135ad6e9673.parquet",
-      "sha256": "f9d33135ad6e9673533c364647df6370debc2abd129913069cd2e242956898ad",
-      "bytes": 577397,
-      "rows": 28,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/dev/numina-001357-0000-c3ead1616f09e520.parquet",
-      "sha256": "c3ead1616f09e520673bcf57dcfe2588464f3315cd209ad30c37d3a532c47899",
-      "bytes": 72551,
-      "rows": 4,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4011fb78-fcdf-5386-8a49-d552939c962a",
     "numina:4b332858-3fe3-504c-9ba4-4cd3ff3e84b0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006787.lean\",\"62959325d80e39e657c122602a268ece5a3b96385f9819958279d2c1a13fdd4e\",0,\"number_theory_607425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006788.lean\",\"246abe0bc49b1e68a50679fed7b4aecf7c15be9a3b9c78abeef94ab462f39673\",0,\"algebra_611491\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006789.lean\",\"20e7cfd194759e2bf59eb2bfc30a399d2041913cbe8e77f598084d39bbe6cfde\",0,\"inequalities_604480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577397,
+      "path": "data/train/pb9/numina-001357-0000-f9d33135ad6e9673.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f9d33135ad6e9673533c364647df6370debc2abd129913069cd2e242956898ad"
+    },
+    {
+      "bytes": 72551,
+      "path": "data/dev/pb9/numina-001357-0000-c3ead1616f09e520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c3ead1616f09e520673bcf57dcfe2588464f3315cd209ad30c37d3a532c47899"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001358.json b/manifests/batches/numina/001358.json
index 9275a63c300ec57b77970361e8b010bb00801c25..321a4b59df9c38779037edaccf227b10752568c1 100644
--- a/manifests/batches/numina/001358.json
+++ b/manifests/batches/numina/001358.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001358",
   "batch_fingerprint": "7267751d204fc8472e0c115b281ba12107fc8fb9d1052be76784ddfad7066114",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001358-0000-c21bddd680270bc3.parquet",
-      "sha256": "c21bddd680270bc3b9a60986f56a5ff9a593ab3a4bc6c66c0c5531c243d07cdd",
-      "bytes": 299021,
-      "rows": 36,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:452bb14f-18f8-546b-9c49-5a6786c8596a",
     "numina:539478a6-3e3a-5a49-b534-461ca77de90b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006792.lean\",\"f895cdf478f34acabaab8422a6b2d257e79c6b5406aaec485cc9030bf6335cb6\",0,\"algebra_21418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006793.lean\",\"c835038c8132a2bc4b7e65eee8893eea7f63f5c1b23dae3a18f8e0c29b03956e\",0,\"algebra_607923\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006794.lean\",\"5c93dc9aa36c10caf709cd100675b395615f064a088718888bc3a076c4265440\",0,\"algebra_161941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299021,
+      "path": "data/train/pe0/numina-001358-0000-c21bddd680270bc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "c21bddd680270bc3b9a60986f56a5ff9a593ab3a4bc6c66c0c5531c243d07cdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001359.json b/manifests/batches/numina/001359.json
index 32ce7838b5d6e623d47c948e8cbe9fd988759e80..48264a53f48da6902c6c4a230d208d5f29d17611 100644
--- a/manifests/batches/numina/001359.json
+++ b/manifests/batches/numina/001359.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001359",
   "batch_fingerprint": "2a314cb770ec49bd115c1e9565e3c2b43947729eda849303db96ffa257544d2f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001359-0000-4e4f231079f49ad0.parquet",
-      "sha256": "4e4f231079f49ad0fc137d4971c5018edb3d93ee08d76453fea6154f7ca45c99",
-      "bytes": 442770,
-      "rows": 56,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e31e6cf-a00d-55b3-a1ea-e9ad1e67263b",
     "numina:10d34b44-3ded-5e5a-9821-c99fef2f233d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006797.lean\",\"9d5f3aa6a92fe8731cdc27ab841ef9676662dba89858a6fa301019541cc1f35a\",0,\"number_theory_95583\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006798.lean\",\"99ae7a03f0f90133c6ec8e29ce9d51fad9c884384576a897cb04d3f487869625\",0,\"algebra_21421\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006799.lean\",\"4eea6d2c608c314f1d5e0727022929ae5399132383b6765a8d63840572e84983\",0,\"inequalities_607925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 442770,
+      "path": "data/train/pc5/numina-001359-0000-4e4f231079f49ad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "4e4f231079f49ad0fc137d4971c5018edb3d93ee08d76453fea6154f7ca45c99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001360.json b/manifests/batches/numina/001360.json
index 41d399bc2bac09799fbf08d3f08cecf81f0540dd..3dd6170f4cb043f869411d273c5b97cb47a37528 100644
--- a/manifests/batches/numina/001360.json
+++ b/manifests/batches/numina/001360.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001360",
   "batch_fingerprint": "e0f1ba3e2e5328e4a65019920c1133ed59cda8f7687d0b13093c02a5c8435552",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001360-0000-94e2f0abc3718cbd.parquet",
-      "sha256": "94e2f0abc3718cbd2c95b2dd7c770e10ffb19223e099598f874bae153ca30208",
-      "bytes": 550897,
-      "rows": 68,
-      "revision": "39f0a8dfe5738ff0a6127d843e4c9f220cedd5a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1cdb63d0-d28c-548f-ae9d-fd5e4d473639",
     "numina:671c5fea-035f-5fe8-ac1e-9c5e111d5554",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006802.lean\",\"bad90fb67591e0ac3cd3764ff6395dabc127e5499674365fda8ff4bf6ec3c9ca\",0,\"calculus_161965\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006803.lean\",\"971be953011f32d34e2e3f3d01a75ed816e1b10819abd919242a39004a64849e\",0,\"number_theory_5001\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006804.lean\",\"2f7a926713b63c25dba763324250e6e466535e190b7447c9b0851f955c910230\",0,\"algebra_95585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 550897,
+      "path": "data/train/pee/numina-001360-0000-94e2f0abc3718cbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "94e2f0abc3718cbd2c95b2dd7c770e10ffb19223e099598f874bae153ca30208"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001361.json b/manifests/batches/numina/001361.json
index b4fb87f6f6c769e3de78cb190dd10d4294338624..610094bc29faafc14f74a7f96ee913e5576a4a9f 100644
--- a/manifests/batches/numina/001361.json
+++ b/manifests/batches/numina/001361.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001361",
   "batch_fingerprint": "06eedb2064e64d07e302b664986a92efd7ac58cfb7e5e833754d77ff2da87587",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001361-0000-63e460cb4aa5543a.parquet",
-      "sha256": "63e460cb4aa5543aef95ca30f1741c095f1317ad7f3751cc7f61eaf40c50fca1",
-      "bytes": 139954,
-      "rows": 17,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/train/numina-001361-0001-44c2e90b3235644d.parquet",
-      "sha256": "44c2e90b3235644d5b69cc52cb0dce4c09893772bb7bee8ff705b44144e250b2",
-      "bytes": 825291,
-      "rows": 1,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    },
-    {
-      "path": "data/train/numina-001361-0002-db98a86b4a99fc1d.parquet",
-      "sha256": "db98a86b4a99fc1d259c8c449b88d24b32ec9ccb5e92d72376730ec9d8be23d7",
-      "bytes": 415666,
-      "rows": 6,
-      "revision": "8923a9dd9fee020aa740e2b21d2405c89d4672f2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4ff530c2-6867-5b97-aafa-c1a2a5b3d922",
     "numina:6a6f5102-3af0-51d0-ae46-32dc162e7cc1",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006807.lean\",\"97923973187e17e1bf30bfc58a9a8c936f8668be1ec2f433e5d0c06076a68001\",0,\"algebra_611090\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006808.lean\",\"ce5f14456d1f80dc549d3336e5a518467b839ccfe27e58ee121e4704ab4e2e8e\",0,\"number_theory_604484\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006809.lean\",\"22ffe5a9e0b4854ab2c4fd234541190f72bb5075778318a267a9bbd0c00cf831\",0,\"algebra_9346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139954,
+      "path": "data/train/pc3/numina-001361-0000-63e460cb4aa5543a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "63e460cb4aa5543aef95ca30f1741c095f1317ad7f3751cc7f61eaf40c50fca1"
+    },
+    {
+      "bytes": 825291,
+      "path": "data/train/pc3/numina-001361-0001-44c2e90b3235644d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "44c2e90b3235644d5b69cc52cb0dce4c09893772bb7bee8ff705b44144e250b2"
+    },
+    {
+      "bytes": 415666,
+      "path": "data/train/pc3/numina-001361-0002-db98a86b4a99fc1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "db98a86b4a99fc1d259c8c449b88d24b32ec9ccb5e92d72376730ec9d8be23d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001362.json b/manifests/batches/numina/001362.json
index b7fc9fbae2d14b9f948c9a0d86964e04187a1ff2..e4468ef1574bb19aabc8bb835e16310b5f3cc698 100644
--- a/manifests/batches/numina/001362.json
+++ b/manifests/batches/numina/001362.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001362",
   "batch_fingerprint": "ed201ea09445a88d473cce6db4677a0f72039419572a83fc23024a7991e77648",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001362-0000-07d4aac4f2c73cb7.parquet",
-      "sha256": "07d4aac4f2c73cb74b34740a134d540fa219ad3430120cf59e4bfbff2514fa97",
-      "bytes": 409554,
-      "rows": 26,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06c31283-ec79-58bc-bda0-8b0e4c1a1ccd",
     "numina:2cc3b9bb-6083-546a-80e7-5d4cb9b6c734",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006812.lean\",\"ee0ac2bba4c545032d4a1504506a19951473416c55d03d3017e581e0bab0f120\",0,\"inequalities_58034\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006813.lean\",\"66ed0500730999297071456f879b7b0624cdedbd9ccd1b40829ae32d607ff1e0\",0,\"number_theory_610773\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006814.lean\",\"e5bc60d85d855cc8835429c42a3175987fa85616555d2339ddc76656ef7912dc\",0,\"algebra_279704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409554,
+      "path": "data/train/pf7/numina-001362-0000-07d4aac4f2c73cb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "07d4aac4f2c73cb74b34740a134d540fa219ad3430120cf59e4bfbff2514fa97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001363.json b/manifests/batches/numina/001363.json
index e32981b1ed71957205263810fa9d1ce394cc374f..05552526f505747dda71566cc49cc700dbe4968a 100644
--- a/manifests/batches/numina/001363.json
+++ b/manifests/batches/numina/001363.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001363",
   "batch_fingerprint": "7eb27cdcca79e2634be40232843c253830695fe6c05ce7db26bee234daa585ce",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001363-0000-c392bca7d7be13ea.parquet",
-      "sha256": "c392bca7d7be13ea52e45cfbdf0b811e634ca7ba333b9470e9dc9701fcf9d4b0",
-      "bytes": 75798,
-      "rows": 12,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/dev/numina-001363-0000-1f348d7140efcddd.parquet",
-      "sha256": "1f348d7140efcddde3b187ac3c91e0944e46cdfb04a6cc1f3a5ff95149251853",
-      "bytes": 121256,
-      "rows": 22,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b2d9d2c-f5ff-5ee7-9b15-560008e7b98c",
     "numina:7b986bd2-4427-588f-8472-af24e59dc3a6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006817.lean\",\"e82ce3dd3f4c0d8129a1b953a2c0b8428781dc5bb6f5465a29f2a497e5167005\",0,\"algebra_21436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006818.lean\",\"66f14453123baf6b03bd0930974f2fd62227d25fa6dd0dadb8e2cf573793c472\",0,\"number_theory_16169\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006819.lean\",\"a570e9f31e543baf2be2eba3837cf702511fb6dc8109161f6a06601e49246fca\",0,\"algebra_265138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75798,
+      "path": "data/train/ped/numina-001363-0000-c392bca7d7be13ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c392bca7d7be13ea52e45cfbdf0b811e634ca7ba333b9470e9dc9701fcf9d4b0"
+    },
+    {
+      "bytes": 121256,
+      "path": "data/dev/ped/numina-001363-0000-1f348d7140efcddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "1f348d7140efcddde3b187ac3c91e0944e46cdfb04a6cc1f3a5ff95149251853"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001364.json b/manifests/batches/numina/001364.json
index e3e445a418bbdc15e895b7c104c8b6a21b7e0ecc..e1f5149f1705ce2ac13a0f0af57fed650398c68b 100644
--- a/manifests/batches/numina/001364.json
+++ b/manifests/batches/numina/001364.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001364",
   "batch_fingerprint": "32f3d502cc97f277f08f9b90037bb9522bcfce8cc763f9f0ec6b378cec8689e5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001364-0000-28228af4cbef5e3b.parquet",
-      "sha256": "28228af4cbef5e3bdd081093930d5c0251050fbc5fe8566d3ff4453092e4dae1",
-      "bytes": 442998,
-      "rows": 46,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/dev/numina-001364-0000-e6a00bf93224ed42.parquet",
-      "sha256": "e6a00bf93224ed42f12f0ed160a358869663fdf63445871201f288faf7ce0bb4",
-      "bytes": 80085,
-      "rows": 14,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:369d2c1d-748a-5e6f-951b-b1d86f7d58d8",
     "numina:7ebb150b-baeb-54e6-a8be-8a1255d511a4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006822.lean\",\"b5bf3326ec23358f7ed0fa538be0f32d540b26e9983f4f528ed5794df7e24a26\",0,\"algebra_20287\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006823.lean\",\"8b3882265401b86fa7a10b83d99c2efb0691a398b795e383f68332fff4d63c9e\",0,\"algebra_9205\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006824.lean\",\"a9d8cfa602777c0c9e7a67e23de76db569d9a74c3413d586fcc5ebc9044f26ee\",0,\"algebra_21442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 442998,
+      "path": "data/train/p05/numina-001364-0000-28228af4cbef5e3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "28228af4cbef5e3bdd081093930d5c0251050fbc5fe8566d3ff4453092e4dae1"
+    },
+    {
+      "bytes": 80085,
+      "path": "data/dev/p05/numina-001364-0000-e6a00bf93224ed42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e6a00bf93224ed42f12f0ed160a358869663fdf63445871201f288faf7ce0bb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001365.json b/manifests/batches/numina/001365.json
index 73adfe6f2cc474e5366f5e1e48fe8ec7f7af1531..10d88189f4cf5afa00dce9b5976861b258643278 100644
--- a/manifests/batches/numina/001365.json
+++ b/manifests/batches/numina/001365.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001365",
   "batch_fingerprint": "4fe45d8046ccbd3a09c3c463f0f5e298e4bcae750343759a3c03301cf3f1c258",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001365-0000-1cd485350b31e2ca.parquet",
-      "sha256": "1cd485350b31e2ca87b9f4a8b8c6a1dfe3ab2122221997420131d6f83d026c23",
-      "bytes": 235669,
-      "rows": 20,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a5fb768-9080-5a0a-a7bd-2248ebf9e23a",
     "numina:30929670-59e0-5d04-9b11-65554d163300",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006827.lean\",\"ef4aea5835c0e54da41ee24b82cd052a36e410e846158a3975a446361efd6169\",0,\"inequalities_128586\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006828.lean\",\"9f309ff808ce2cbce22b838a1aee611fff90f289402b10071a79f3b15e6dae92\",0,\"algebra_16170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006829.lean\",\"f2d64de101cfdd17e5fde720122a6c715f7bc4a018c31bf5cd6c75a3c89afba6\",0,\"inequalities_37789\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235669,
+      "path": "data/train/pb4/numina-001365-0000-1cd485350b31e2ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1cd485350b31e2ca87b9f4a8b8c6a1dfe3ab2122221997420131d6f83d026c23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001366.json b/manifests/batches/numina/001366.json
index 84cb13e9a9e5859f56420d78eebec4114e3ccc1f..07baeeaba41332f7a788e76c159e1de4aa45eb19 100644
--- a/manifests/batches/numina/001366.json
+++ b/manifests/batches/numina/001366.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001366",
   "batch_fingerprint": "a88faaef478d5de354e5e558a610130e9355e33e82a4324b3f51c2b1509e6d2e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001366-0000-8d80ac3b355c732a.parquet",
-      "sha256": "8d80ac3b355c732a17edc95b3143d15d8d5d36395a09f15751aa80b7b867fb67",
-      "bytes": 384118,
-      "rows": 27,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08df4dc6-0037-57b5-b7ba-fffb9ab391c4",
     "numina:4a8632ea-4804-55e0-9f8a-78ba4aecdcd4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006832.lean\",\"9a4c13bde9dcc94904e2f73630eb6d4d0262d78f062a5c73f96779da8ef8c119\",0,\"inequalities_188095\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006833.lean\",\"54483f75701591e09bad59e2e9e448318ba8565bcf7963c552c562cf5ee1f1a5\",0,\"algebra_234782\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006834.lean\",\"293c0b4dd17a9c096448eb254349d6caba4a0655bd587023f21620b9da01a3f5\",0,\"algebra_96124\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384118,
+      "path": "data/train/pc5/numina-001366-0000-8d80ac3b355c732a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8d80ac3b355c732a17edc95b3143d15d8d5d36395a09f15751aa80b7b867fb67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001367.json b/manifests/batches/numina/001367.json
index 591b3c867b1186fc60e7dc812ede07575df2ac78..0d4804c08e09e9711fd1d923afa058f61d45fcfc 100644
--- a/manifests/batches/numina/001367.json
+++ b/manifests/batches/numina/001367.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001367",
   "batch_fingerprint": "95aaaf0521ff5167a8832cce307b6a8824a9ccfa3b907faa44438c2400de83b4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001367-0000-781c50bbe3b24c77.parquet",
-      "sha256": "781c50bbe3b24c77aade7fec3871c5422f34dd2c698ea718de2468c6f32e4d37",
-      "bytes": 98145,
-      "rows": 12,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/numina-001367-0000-b7c3bcc9ee807031.parquet",
-      "sha256": "b7c3bcc9ee807031b874979751611bcfa65afbf81fcd406804e2db2a6e8b4e19",
-      "bytes": 51225,
-      "rows": 1,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4af0f7cd-b3ae-5f1a-a4ff-fac7d9f1dfd5",
     "numina:6e7855e2-5d2f-56e8-be5e-36806cdc4163",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006837.lean\",\"339f0393c8ab50eea9e93542681bf4b0474f5689c4725ca95c71aaa3393e5c78\",0,\"inequalities_49841\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006838.lean\",\"3c5a0ac94ba1a6f1046597f224daedd20efe87979f61559423a1b228f2add8f4\",0,\"algebra_265305\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006839.lean\",\"ea140c1b169dbf7e1b3b9a902c495dbeb9f9098aa05e042c466642530c7d9c17\",0,\"inequalities_277168\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98145,
+      "path": "data/train/pb9/numina-001367-0000-781c50bbe3b24c77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "781c50bbe3b24c77aade7fec3871c5422f34dd2c698ea718de2468c6f32e4d37"
+    },
+    {
+      "bytes": 51225,
+      "path": "data/internal_test/pb9/numina-001367-0000-b7c3bcc9ee807031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b7c3bcc9ee807031b874979751611bcfa65afbf81fcd406804e2db2a6e8b4e19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001368.json b/manifests/batches/numina/001368.json
index fd161dd8c7f36678b4b8dc9a76ca6f52bfd887e4..b28521006bd9db84ce5b3a4f61200f54fd804165 100644
--- a/manifests/batches/numina/001368.json
+++ b/manifests/batches/numina/001368.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001368",
   "batch_fingerprint": "96820eedb903249ca488381494f6fef4d9967db8a379b338c5dd26ad4cc46a8d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001368-0000-201963d8063e8214.parquet",
-      "sha256": "201963d8063e8214961fe9ec1647060d468dca70c60481aeb0b0060bc72f41c2",
-      "bytes": 200328,
-      "rows": 26,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1de68176-68a2-5d1c-ad2d-5eba3f0ba0bd",
     "numina:3dc3a7c4-3403-518f-9fcc-e2281ac26a7b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006842.lean\",\"157506854f5211ddadccd8143351e7c6f6adbae2d049cffb54b20fdd43a524c9\",0,\"inequalities_164485\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006843.lean\",\"153d0d79f3915626e286a1208318e5abeb010e202a3b5d37d399f489321cc289\",0,\"number_theory_112197\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006844.lean\",\"253c968e0193fbe9900639947c70fa95dcd0eba0df22b10081f56cf94bdb7dd2\",0,\"inequalities_43462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200328,
+      "path": "data/train/p2f/numina-001368-0000-201963d8063e8214.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "201963d8063e8214961fe9ec1647060d468dca70c60481aeb0b0060bc72f41c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001369.json b/manifests/batches/numina/001369.json
index 99961ce927afc07e876c8081a8bc00f7bf5f578e..b6452fad24a318c494f11e23e7d6a2a5eaeaf02c 100644
--- a/manifests/batches/numina/001369.json
+++ b/manifests/batches/numina/001369.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001369",
   "batch_fingerprint": "2f9ea60f4bf90e276926d739df977e03ceb5609af020ab046b8a3361ec859abe",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001369-0000-b60edbfc3b1dca9b.parquet",
-      "sha256": "b60edbfc3b1dca9b3774117c1e30ab94ba4d566153a6dd4c7ef9b9ad244e0dba",
-      "bytes": 372361,
-      "rows": 18,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/numina-001369-0000-1126942117434f2f.parquet",
-      "sha256": "1126942117434f2f7dfeb5876ade0c01dcdbe2780e4a35ae8e8b093a8cf09f7f",
-      "bytes": 105836,
-      "rows": 9,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5498eb8e-0959-5bf2-9f76-17a5c6597150",
     "numina:7ba8821f-1628-5718-8b99-fec8459f201c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006847.lean\",\"3c8401281e724bc2a56f1c41e390d649410b4502083bef7128d5870d2e35af58\",0,\"number_theory_234838\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006848.lean\",\"ed4d723e1d72e135065727f2bd5d69a085c7788222c0c6bf51f5cf34935e4b7a\",0,\"number_theory_112262\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006849.lean\",\"c13aeeba12bf5038d68d01b9dc69b174bc8408be62042abb62b4374a03a13cad\",0,\"algebra_10189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372361,
+      "path": "data/train/pa9/numina-001369-0000-b60edbfc3b1dca9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b60edbfc3b1dca9b3774117c1e30ab94ba4d566153a6dd4c7ef9b9ad244e0dba"
+    },
+    {
+      "bytes": 105836,
+      "path": "data/internal_test/pa9/numina-001369-0000-1126942117434f2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1126942117434f2f7dfeb5876ade0c01dcdbe2780e4a35ae8e8b093a8cf09f7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001370.json b/manifests/batches/numina/001370.json
index cafc8154722c1a70777561ae23a35e06abe5b759..27304ab3724fa41a4a0175531947f3c5e0c8ef3b 100644
--- a/manifests/batches/numina/001370.json
+++ b/manifests/batches/numina/001370.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001370",
   "batch_fingerprint": "6eebdce65ed84f6d6a2a00529c9d90cd5dc806e73f85a904d8deb5c252f71d93",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001370-0000-757c10ebf6efc279.parquet",
-      "sha256": "757c10ebf6efc279fea3d6bc4203989fa6837d1ec8b7b465e40844120825ad1e",
-      "bytes": 673542,
-      "rows": 66,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09fe542e-9fcb-5911-9011-88c8ea32efba",
     "numina:39ec1fd1-0ff9-578e-abc9-8d5c788f6308",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006852.lean\",\"367ddaa97753787c658d17b6a4468b2982f5ee80a864f130f0ceaf3edde098c9\",0,\"algebra_607354\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006853.lean\",\"5b5beb3fa9a9d20ca9510916f5d41e0597edb6f2b47cb2cd99579ebf0aa61196\",0,\"number_theory_23490\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006854.lean\",\"8ab3ae455a06ea4e3d255a625156ebbcaa6fd617d5d18368c6ff0866ed808ae9\",0,\"calculus_13255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 673542,
+      "path": "data/train/p6f/numina-001370-0000-757c10ebf6efc279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "757c10ebf6efc279fea3d6bc4203989fa6837d1ec8b7b465e40844120825ad1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001371.json b/manifests/batches/numina/001371.json
index 20ecb957f2072ec6fd509d1c7a9cc9e9be7cc596..d174a2b4243d19204b01b7c3090413fbf84f1f51 100644
--- a/manifests/batches/numina/001371.json
+++ b/manifests/batches/numina/001371.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001371",
   "batch_fingerprint": "ef78f9c592ab431470d0b3f9a0dfa6fc33f30827380179b72000998518bb622d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001371-0000-edcfdd4abf6d987a.parquet",
-      "sha256": "edcfdd4abf6d987a7eaff8c0b89fe9c1add2979c7a8abee9a2ec78056532afc0",
-      "bytes": 291196,
-      "rows": 36,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/numina-001371-0000-ce978a261164536e.parquet",
-      "sha256": "ce978a261164536e05a3b5e6c398559556fd85a4dbe3f9f8e868893c1f080ae8",
-      "bytes": 365641,
-      "rows": 29,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17725d76-f0a4-5dc1-86a6-1fdd0cf94ef9",
     "numina:26580727-d8da-5c7e-9e04-dbee9b0f9055",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006857.lean\",\"51db5d47366f5bc860ad17f2e3703d9c289c30c385c178c81a33c339d777bd55\",0,\"calculus_185863\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006858.lean\",\"7a8008b041fbd6cd40e460d22e93b7fd879318ff695b5cc65423202a7afd7192\",0,\"inequalities_245776\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006859.lean\",\"11e9f3769648a045e2f7acd0efeb18c702a7c0c4b0f84d02b805d73ed87c561c\",0,\"algebra_525610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291196,
+      "path": "data/train/p0e/numina-001371-0000-edcfdd4abf6d987a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "edcfdd4abf6d987a7eaff8c0b89fe9c1add2979c7a8abee9a2ec78056532afc0"
+    },
+    {
+      "bytes": 365641,
+      "path": "data/internal_test/p0e/numina-001371-0000-ce978a261164536e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "ce978a261164536e05a3b5e6c398559556fd85a4dbe3f9f8e868893c1f080ae8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001372.json b/manifests/batches/numina/001372.json
index 1d84861862b2b77ce5fb5d01f6872e5efe5b8304..0ced5eb3e40abf0ca0d68fb7489a3155c3bd5be4 100644
--- a/manifests/batches/numina/001372.json
+++ b/manifests/batches/numina/001372.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001372",
   "batch_fingerprint": "0e76f928a9b309de85b9035bf94f528f7942ed04bc157c45ac4fb9aac2293c46",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001372-0000-383b8c79263d2347.parquet",
-      "sha256": "383b8c79263d234761b072c380a87636ba6559ee999e3fd146f9860df616ad7e",
-      "bytes": 277672,
-      "rows": 43,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    },
-    {
-      "path": "data/internal_test/numina-001372-0000-446d6a8e283a532a.parquet",
-      "sha256": "446d6a8e283a532a46d72a2dd53f89f3c943585d01ecd7a6a59fd7b6d8adc602",
-      "bytes": 136960,
-      "rows": 3,
-      "revision": "b0411c346a74577f6055387bcdecdbe84cd12bd1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4b52f8b1-09ef-58ab-991e-e26c398d1736",
     "numina:8ac1dd26-94ba-5634-97b7-ed2963dacac4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006862.lean\",\"03f735ada39d21e597143a5f63c823585d162efb4bfd327ef2ff76d4728ba4bf\",0,\"algebra_96075\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006863.lean\",\"3142a737da1aa9a99e5289535edb3859d39f2e038d251e2aa987e8d61b302478\",0,\"algebra_21312\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006864.lean\",\"fbe7703c72a0232cc219d2225674db49b2ce338ae9ef7d0128085c1f3458680b\",0,\"algebra_122581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277672,
+      "path": "data/train/p2e/numina-001372-0000-383b8c79263d2347.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "383b8c79263d234761b072c380a87636ba6559ee999e3fd146f9860df616ad7e"
+    },
+    {
+      "bytes": 136960,
+      "path": "data/internal_test/p2e/numina-001372-0000-446d6a8e283a532a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "446d6a8e283a532a46d72a2dd53f89f3c943585d01ecd7a6a59fd7b6d8adc602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001373.json b/manifests/batches/numina/001373.json
index 964718150aed08e6ca405415fc05743f6d44f053..ab6acfc602ac87d56081dc2288911b54a8f14f9b 100644
--- a/manifests/batches/numina/001373.json
+++ b/manifests/batches/numina/001373.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001373",
   "batch_fingerprint": "b6f21a1b799f9de89df29303d0beed7f9b21217cf68d62ffac551cccb1e74e80",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001373-0000-7e628a620485e323.parquet",
-      "sha256": "7e628a620485e323e5a5d21388252c1103ed724ba37f379c463e7a9822d57f90",
-      "bytes": 296989,
-      "rows": 9,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/train/numina-001373-0001-394e0f93c7376020.parquet",
-      "sha256": "394e0f93c7376020005a7638dcbb2081d7cd163d8aa72ce203d2efee0d2a68c9",
-      "bytes": 1341392,
-      "rows": 1,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    },
-    {
-      "path": "data/train/numina-001373-0002-98914d0de2c45285.parquet",
-      "sha256": "98914d0de2c45285e773bf0d4513b0c5b03edbede31105d70ffaef1379dfb0e3",
-      "bytes": 256353,
-      "rows": 18,
-      "revision": "7d426900fbd744c19b9617c7fc60c7dd841b8a2d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06de0bb9-ad97-55c7-a4c8-4c38a6f29791",
     "numina:177b84cf-dd28-57ee-b355-f7bd19dd9e65",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006868.lean\",\"c5a39228f42a879a8ae41f0b71738f69c5047428517e598015dc656540fc491c\",0,\"algebra_611309\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006869.lean\",\"f1f5dd8d33af1b4b5f04096f109fd5f70ae1200589a0a5e7c2dda327f8ec5332\",0,\"algebra_162552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296989,
+      "path": "data/train/p48/numina-001373-0000-7e628a620485e323.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7e628a620485e323e5a5d21388252c1103ed724ba37f379c463e7a9822d57f90"
+    },
+    {
+      "bytes": 1341392,
+      "path": "data/train/p48/numina-001373-0001-394e0f93c7376020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "394e0f93c7376020005a7638dcbb2081d7cd163d8aa72ce203d2efee0d2a68c9"
+    },
+    {
+      "bytes": 256353,
+      "path": "data/train/p48/numina-001373-0002-98914d0de2c45285.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "98914d0de2c45285e773bf0d4513b0c5b03edbede31105d70ffaef1379dfb0e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001374.json b/manifests/batches/numina/001374.json
index 65134b5ab64da745b30e172dcb800caedcc7c9c4..7e3cfe5724ec361eac6475e153ea45b021715676 100644
--- a/manifests/batches/numina/001374.json
+++ b/manifests/batches/numina/001374.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001374",
   "batch_fingerprint": "e957381f68664deb47200918ffb75cc3eda07e51e70d4a84eda37c8f193254ac",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001374-0000-b9693aca5669228a.parquet",
-      "sha256": "b9693aca5669228a1c827d36f4078f9da310df727191005f43c233c9e4096669",
-      "bytes": 702581,
-      "rows": 65,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:250f12a2-1ac5-5bde-88f4-c266228d6e38",
     "numina:46d7c1be-4553-5f85-bbbc-626d43dbbe5f",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006873.lean\",\"69f44ca95893f6dad360e0865adffa517fc38aa6db42b5e48733ede2f0895742\",0,\"algebra_15897\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006874.lean\",\"e1699474376ceae3dbbdd1d22eb2362f3ef00ad908d788fe2726e085fa5cc749\",0,\"number_theory_257808\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 702581,
+      "path": "data/train/p0d/numina-001374-0000-b9693aca5669228a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "b9693aca5669228a1c827d36f4078f9da310df727191005f43c233c9e4096669"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001375.json b/manifests/batches/numina/001375.json
index f3ed5823fba466da321b63b9735dd593f58837c9..64a95ec5cc47ba5ad09203789bb988cf3edf2b35 100644
--- a/manifests/batches/numina/001375.json
+++ b/manifests/batches/numina/001375.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001375",
   "batch_fingerprint": "d85690b44baf8cd38bdbf60b2acf44b13e118d000a537280f5aaa1f7c1d971ca",
   "evidence": {
@@ -55,15 +54,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001375-0000-e66227cf946ea4a7.parquet",
-      "sha256": "e66227cf946ea4a724e85c958cd97b30d5ce82ed99f8ebc59e99636c3528c651",
-      "bytes": 569974,
-      "rows": 67,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30e13e32-25fe-5496-813e-6e35cb9963ed",
     "numina:50792340-404d-5875-869e-10d2ba3afa67",
@@ -75,5 +66,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006876.lean\",\"403e48f29e61b8316942062f4ee557bfa895eb2f83fea01b15ebd5a0fd5049de\",0,\"algebra_607789\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006877.lean\",\"e448b62ca38b47b9d6acc46cd118dc4518437ae6e2757b963c6ee67dcc2a772e\",0,\"calculus_279245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006878.lean\",\"00e2373a8e4b0ef8c469161bfc535bfebdec279fd92dc761a16c299880103f3e\",0,\"algebra_122634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 569974,
+      "path": "data/train/pba/numina-001375-0000-e66227cf946ea4a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "e66227cf946ea4a724e85c958cd97b30d5ce82ed99f8ebc59e99636c3528c651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001376.json b/manifests/batches/numina/001376.json
index a39bb73a97734623e1c8bef9bb0e7be2043037ff..cadc9edd6f141ad02da245318d2cd4284464b6e7 100644
--- a/manifests/batches/numina/001376.json
+++ b/manifests/batches/numina/001376.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001376",
   "batch_fingerprint": "6079de85a769d831c2c1ff37adc605287b4604434e5737f90d49ddccb5f1af2b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001376-0000-fd3a0d5bf8bcd9ff.parquet",
-      "sha256": "fd3a0d5bf8bcd9ffc657deeae08a70e4470e0860d3a26a564572bb1909ff8fb5",
-      "bytes": 197914,
-      "rows": 19,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/dev/numina-001376-0000-090821d8c44ce5b5.parquet",
-      "sha256": "090821d8c44ce5b589804cd867bec0cf8490acbbe3283f075feece5de6e55f84",
-      "bytes": 38565,
-      "rows": 5,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/numina-001376-0000-1f12e2d10980bde2.parquet",
-      "sha256": "1f12e2d10980bde257298baf64136cc3ced64bbf6b0649010558e140c1b8375f",
-      "bytes": 38713,
-      "rows": 3,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0c27c9ce-1dae-5517-8b7a-f7d35eb83184",
     "numina:13027763-160e-5d06-86d5-d59f00174ba2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006882.lean\",\"18cb1ac1ffd2213a3721c4fbe93f108886aafa04eaecb20044016af15761c9fe\",0,\"algebra_9081\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006883.lean\",\"8bfeb1ed10495ba00b683f892cf884cd8d4d71610462f5262a08876f0d277ef1\",0,\"Other_5738\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006884.lean\",\"684e97ed55b79b4d785ab38d947c6f3fef1bf307c5ce9e01ae64745183d0876f\",0,\"algebra_611198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197914,
+      "path": "data/train/p34/numina-001376-0000-fd3a0d5bf8bcd9ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fd3a0d5bf8bcd9ffc657deeae08a70e4470e0860d3a26a564572bb1909ff8fb5"
+    },
+    {
+      "bytes": 38565,
+      "path": "data/dev/p34/numina-001376-0000-090821d8c44ce5b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "090821d8c44ce5b589804cd867bec0cf8490acbbe3283f075feece5de6e55f84"
+    },
+    {
+      "bytes": 38713,
+      "path": "data/internal_test/p34/numina-001376-0000-1f12e2d10980bde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1f12e2d10980bde257298baf64136cc3ced64bbf6b0649010558e140c1b8375f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001377.json b/manifests/batches/numina/001377.json
index cc07e8c6460aa9b4c034f4a62eced803453b93d4..17fa9ac177333028c11269f55a4fd22bb4269045 100644
--- a/manifests/batches/numina/001377.json
+++ b/manifests/batches/numina/001377.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001377",
   "batch_fingerprint": "95fcbb8f42fabb12772f05ad9ece723c4199b1c22f4442b995666fa83d855d63",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001377-0000-745d7cc4c4be2957.parquet",
-      "sha256": "745d7cc4c4be2957baba172c7da4c9cd6704b25e20e8e40b880f25d1e4e0f838",
-      "bytes": 337109,
-      "rows": 33,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:722331ce-4ae5-5521-9412-bd1f8bbf32c9",
     "numina:99ea5bb6-c6a7-5f34-b810-6ee8211251f1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006887.lean\",\"c58926d5ed4ad5bc8020aa12f0a6f0865f31123cc4dd3aa57c6f92f789e07c19\",0,\"number_theory_162159\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006888.lean\",\"e2a6e2b78dffaa08b7eedbe4efe5a33d717cd4102ddeca199152065f2032cc12\",0,\"algebra_12265\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006889.lean\",\"19a040d2dfdccdfc54e4ffd5b4512f4c7eb70b7b7cddc0adfb6048c35793dcce\",0,\"Algebra_1165\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337109,
+      "path": "data/train/ped/numina-001377-0000-745d7cc4c4be2957.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "745d7cc4c4be2957baba172c7da4c9cd6704b25e20e8e40b880f25d1e4e0f838"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001378.json b/manifests/batches/numina/001378.json
index 463e871a8678e691a25770c39fce3ddbe52a4b2a..b7e547ec2f9cdf43fb9f82c57e9fb87992c8fe1b 100644
--- a/manifests/batches/numina/001378.json
+++ b/manifests/batches/numina/001378.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001378",
   "batch_fingerprint": "6e83966b8f4ec53f6050cea95feed0386498dbe85293074691edba860c5ba947",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001378-0000-77b4e322f2688929.parquet",
-      "sha256": "77b4e322f26889299f2d65e626fc1e7881807f51b8cb2b5ed94776e58489f87e",
-      "bytes": 491480,
-      "rows": 50,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:268e3447-5628-5e63-8cdd-a39869373b54",
     "numina:4fec34ed-2289-5911-8109-e0e9d8f93515",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006892.lean\",\"f93be5bf66decba8fff62b78437dd7c011076501ae2a77dca2ea9c883a3805ed\",0,\"number_theory_182650\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006893.lean\",\"adde04a4dca2c1c7ef3f2e8a22a0b4b5293902f07b55ba2ba0ec89e6d69ae24c\",0,\"algebra_9082\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006894.lean\",\"c8784e2b1c33c7753a6e275a9e7f8bc1c0447f7918becc0e4a8df1e6d9cba700\",0,\"algebra_606369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 491480,
+      "path": "data/train/p31/numina-001378-0000-77b4e322f2688929.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "77b4e322f26889299f2d65e626fc1e7881807f51b8cb2b5ed94776e58489f87e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001379.json b/manifests/batches/numina/001379.json
index 189dd6ae747fef197d5fb726ed31154376a227ee..d05d85082b88813abbaf145b4990b7f8280aca51 100644
--- a/manifests/batches/numina/001379.json
+++ b/manifests/batches/numina/001379.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001379",
   "batch_fingerprint": "47718d34f2a0164ec8704394618e4c1403d0b40f02642a013e5fcfcfc55ed792",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001379-0000-883244cff4e77a2a.parquet",
-      "sha256": "883244cff4e77a2ae31348ec682a85f3c49990a330cd76de774e492d2e254b77",
-      "bytes": 367353,
-      "rows": 28,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/numina-001379-0000-b56e9b19a72419de.parquet",
-      "sha256": "b56e9b19a72419de3dcbd17355d9b69eee2e506f1e82ff0073de03df737e3774",
-      "bytes": 99976,
-      "rows": 9,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27dfdba3-2fae-5bc9-a556-3aaa16237858",
     "numina:4662d1d5-5090-52af-bf73-2b20c8c3166d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006897.lean\",\"621e38e7d48b7b819ddedd7c9ec24913d1ccfaa4cf331295cfa3d54ea5fb0e97\",0,\"algebra_16021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006898.lean\",\"fa3c95510e4d065331f880ad0eef3d1ae2dab8a396effb741da4828e310f9454\",0,\"algebra_9086\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006899.lean\",\"289e382537923df1a0dddf18cf5d93abece608b5273227ee74e256e28747dec5\",0,\"calculus_611202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367353,
+      "path": "data/train/p22/numina-001379-0000-883244cff4e77a2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "883244cff4e77a2ae31348ec682a85f3c49990a330cd76de774e492d2e254b77"
+    },
+    {
+      "bytes": 99976,
+      "path": "data/internal_test/p22/numina-001379-0000-b56e9b19a72419de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b56e9b19a72419de3dcbd17355d9b69eee2e506f1e82ff0073de03df737e3774"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001380.json b/manifests/batches/numina/001380.json
index d140215c50b53bcb0aa0fd66efc6132a698609ab..4d3259e8b84eb881ca85d2de6abab691325abb7c 100644
--- a/manifests/batches/numina/001380.json
+++ b/manifests/batches/numina/001380.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001380",
   "batch_fingerprint": "158743aa5e2568b1031adf16e6541fa28bb79d698298a2a6932de57bbf7a04f0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001380-0000-fc36373ded23061f.parquet",
-      "sha256": "fc36373ded23061f48b2490088895f21b47f8e7cbc1ac436baa8a2de26bce902",
-      "bytes": 261400,
-      "rows": 32,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/numina-001380-0000-51438c0365f8faba.parquet",
-      "sha256": "51438c0365f8faba7ed5aa93717c671c109dfc23216618036218d1486ce8d233",
-      "bytes": 74594,
-      "rows": 4,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c7ab903-d067-5c2d-9deb-217c9f69bcaa",
     "numina:7b88bf15-8d37-513f-aa03-3986cb49e2b7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006902.lean\",\"f9c517aa722383a262dce2f171625d651c4a3509ac907c0b4385d8e5f82da032\",0,\"algebra_100084\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006903.lean\",\"ca301f29d9895a435f2d7be98aab9520a31f5cd74ec198a912063d4a4b86ed41\",0,\"algebra_21335\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006904.lean\",\"195a580340370d56380880634f008fedbffc7edafb1156491a53d90ed8525a61\",0,\"algebra_9077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261400,
+      "path": "data/train/p96/numina-001380-0000-fc36373ded23061f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "fc36373ded23061f48b2490088895f21b47f8e7cbc1ac436baa8a2de26bce902"
+    },
+    {
+      "bytes": 74594,
+      "path": "data/internal_test/p96/numina-001380-0000-51438c0365f8faba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "51438c0365f8faba7ed5aa93717c671c109dfc23216618036218d1486ce8d233"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001381.json b/manifests/batches/numina/001381.json
index 76c4b1c803571b3f61bd6eeabae6fdfe7230757f..8697f6d94369ee7d69ec77368dd2cb9e4bee1d09 100644
--- a/manifests/batches/numina/001381.json
+++ b/manifests/batches/numina/001381.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001381",
   "batch_fingerprint": "2928fd940b7032238a05e2437bd59c65a1feeecae2a04361ff11f8004c677328",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001381-0000-4df30e1412635d2e.parquet",
-      "sha256": "4df30e1412635d2e534bf050b34a9f80492c0dd0bfd8accf208ffa345262cdf5",
-      "bytes": 91715,
-      "rows": 15,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    },
-    {
-      "path": "data/internal_test/numina-001381-0000-2f9a80c2e1babd02.parquet",
-      "sha256": "2f9a80c2e1babd0239db21fbf040f8d41124130b89678f042080ea79ab26ee65",
-      "bytes": 33195,
-      "rows": 7,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d6ed093-b983-525b-b4f3-7ea9d48d1eb5",
     "numina:67c890a5-bb06-5772-9b96-c7a0180bdf0c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006907.lean\",\"8898e6ffa79751eb926319185e0cfcb22473ce82d193cbc076869844671cfe43\",0,\"number_theory_255863\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006908.lean\",\"07cca347a737443993b3303efdb2e2ba5e21092de9835385893704b7df130f40\",0,\"algebra_276215\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006909.lean\",\"fae5bb672088fa1755671378335c463eee598d1153f0c4fcfde4f48f77edcaf8\",0,\"number_theory_218634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91715,
+      "path": "data/train/p9b/numina-001381-0000-4df30e1412635d2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4df30e1412635d2e534bf050b34a9f80492c0dd0bfd8accf208ffa345262cdf5"
+    },
+    {
+      "bytes": 33195,
+      "path": "data/internal_test/p9b/numina-001381-0000-2f9a80c2e1babd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2f9a80c2e1babd0239db21fbf040f8d41124130b89678f042080ea79ab26ee65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001382.json b/manifests/batches/numina/001382.json
index d97cbd868e22aaa4fcf270e11c0065b4433cc51b..56d1323a499cb990ee53ee57613244d684292d5d 100644
--- a/manifests/batches/numina/001382.json
+++ b/manifests/batches/numina/001382.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001382",
   "batch_fingerprint": "387a5981efa69ce2e6f57133719b1ada2b1a1f455abc0b118e00d1afb5ea9a9a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001382-0000-c4af0b8f6336948e.parquet",
-      "sha256": "c4af0b8f6336948e6431e4241e9e7927f2d1a0fb298759a264a2f47f0cb0a869",
-      "bytes": 225451,
-      "rows": 47,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:007c64c7-fa77-5f6d-aa7b-e1f2ca56d174",
     "numina:64aa7d91-062c-5a96-9102-6f1c30ac8bee",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006912.lean\",\"afe4e3c5ed1d75cbca24b0af91ecba90382c86c0ed987002192d9d7cbd097077\",0,\"algebra_21342\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006913.lean\",\"19de904b8984be722f14036241b3c639b70a7bd9f7a19bad9a17a8ced43eb7b6\",0,\"inequalities_45542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006914.lean\",\"ee43ad11e838b08da880f8b77e258f04d6323845d933f308067d345dccabdb43\",0,\"algebra_182688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225451,
+      "path": "data/train/p51/numina-001382-0000-c4af0b8f6336948e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "c4af0b8f6336948e6431e4241e9e7927f2d1a0fb298759a264a2f47f0cb0a869"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001383.json b/manifests/batches/numina/001383.json
index 76f3b7dc3b157c9c270c726d5c5cba195a4742fd..63905c1ca3a5f1ed2c40cf4cce301b4081fad4e0 100644
--- a/manifests/batches/numina/001383.json
+++ b/manifests/batches/numina/001383.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001383",
   "batch_fingerprint": "8b75a6de94332ba22cd3f9b212a42e1407e8be03bf1600e83967a3d0b07b2a8d",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001383-0000-01a11fcbe36d05f5.parquet",
-      "sha256": "01a11fcbe36d05f5be8dcda1e9288e3c7bdb017593828e89634e97b8458d7c5c",
-      "bytes": 175932,
-      "rows": 36,
-      "revision": "540aac416fcf8bc27a29108551aa515caf5e35da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28c94c33-a016-5f64-8ebb-a9a61a6ffa95",
     "numina:7ae312c7-ad06-50bf-8e73-fecab5440cf4",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006916.lean\",\"9241e5a07ca41a5c893229f5385a99d9d3ffae06b38b56a44c0ab564daf9f4fc\",0,\"algebra_16029\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006917.lean\",\"3e607735c65cc9a21947489c659cd0a1d956bc89e3eb5ce1c9bbaa9c30517059\",0,\"algebra_231255\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006919.lean\",\"4198b0271a7ce3e6a14e7f11f8c9818d1a66accc40b8f5a7c8aabc91cbe696c8\",0,\"number_theory_19475\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175932,
+      "path": "data/train/p66/numina-001383-0000-01a11fcbe36d05f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "01a11fcbe36d05f5be8dcda1e9288e3c7bdb017593828e89634e97b8458d7c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001384.json b/manifests/batches/numina/001384.json
index b49813d99acc90281b45bf31dd381bc4f9c0385c..94b84e41d61662305b1f991db34bc11020020d32 100644
--- a/manifests/batches/numina/001384.json
+++ b/manifests/batches/numina/001384.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001384",
   "batch_fingerprint": "6b57bd2ab97da378840732cf129a1f501d392230a2d24a056f43d0705a59c3fe",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001384-0000-cf4567e58fca8e5c.parquet",
-      "sha256": "cf4567e58fca8e5c509bfb5bda6ab6034c8d9e84ec993bc55a0cc9e88e8a1542",
-      "bytes": 317092,
-      "rows": 42,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4d494975-1ed3-5a18-aa25-bfec411636c8",
     "numina:5c0a77f0-0657-5d16-8c9d-bc7aec0962f0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006922.lean\",\"90651acfe8681e814219bfa73a2c8abb99bf15c45885b8bbf376512573aafb66\",0,\"algebra_95410\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006923.lean\",\"39bdab28d348886569db452276056e5babd0d348418f7ab28bc39d195dac24d6\",0,\"number_theory_15987\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006924.lean\",\"13443047055b8f026b2fac719ee691cbf6adfd7aba7bec5ab855a1feb17d491b\",0,\"algebra_9033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317092,
+      "path": "data/train/pc0/numina-001384-0000-cf4567e58fca8e5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "cf4567e58fca8e5c509bfb5bda6ab6034c8d9e84ec993bc55a0cc9e88e8a1542"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001385.json b/manifests/batches/numina/001385.json
index 8d1a0eb95049516a39bd36b0309f39249c454ca1..5b42b3b6c6d347d3cb9583c376786b455b4ffcdf 100644
--- a/manifests/batches/numina/001385.json
+++ b/manifests/batches/numina/001385.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001385",
   "batch_fingerprint": "905a80454bcfe5a0a01d26cb550c952dd6d02ca2c05b35aed999793748b37833",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001385-0000-867a27844b897124.parquet",
-      "sha256": "867a27844b8971248976354155ac1d365acd135282c5418d85022a8273cc8a61",
-      "bytes": 104133,
-      "rows": 17,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/dev/numina-001385-0000-510107ea087034f2.parquet",
-      "sha256": "510107ea087034f2f294b0b3ae07d2b53c9baa4b5c5c488ac4136c41477056a2",
-      "bytes": 74703,
-      "rows": 4,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27b962a3-a779-5f9c-8d34-9b60b905cd2e",
     "numina:389d9331-e12b-57d8-bbea-efc41460e6de",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006927.lean\",\"037d9344c9f70364bb40440a239b234c70e68f02276dbfebc99e22c31491a3b6\",0,\"number_theory_611051\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006928.lean\",\"66593c55245163c3652bf7fad968c09c82168c71b8a98a736f53b194fd9def0a\",0,\"inequalities_218681\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006929.lean\",\"1096a4b77f8e30184170852b07a6a64229985d146fe4701546110939fee252ca\",0,\"algebra_113766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104133,
+      "path": "data/train/p35/numina-001385-0000-867a27844b897124.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "867a27844b8971248976354155ac1d365acd135282c5418d85022a8273cc8a61"
+    },
+    {
+      "bytes": 74703,
+      "path": "data/dev/p35/numina-001385-0000-510107ea087034f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "510107ea087034f2f294b0b3ae07d2b53c9baa4b5c5c488ac4136c41477056a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001386.json b/manifests/batches/numina/001386.json
index b2bafc9523e6766acb7a79f79c3c7b9bfff35ac2..70f253f388d13f8207b01de64c41a2bcfacb9063 100644
--- a/manifests/batches/numina/001386.json
+++ b/manifests/batches/numina/001386.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001386",
   "batch_fingerprint": "3d64a82f18a27ceae299cca160b5ba379c3ff9e73fd78afcf5d4a3e03e9b744b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001386-0000-67bd35ea8c7b9097.parquet",
-      "sha256": "67bd35ea8c7b9097a03cdebddc27eea5117b6d283b7b96d83c629b074f24308d",
-      "bytes": 244829,
-      "rows": 34,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/numina-001386-0000-8e4aaa545cfa6601.parquet",
-      "sha256": "8e4aaa545cfa6601ce7b71ef152411bd053d87e6f2a41f0aba0a178a8fe826c1",
-      "bytes": 49709,
-      "rows": 4,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ae64546-3163-5b6c-b7bc-4fc15cdd27a3",
     "numina:5e810365-1c40-5328-bdd9-0de4685f4424",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006932.lean\",\"b9ad5635c897658964cd4b10a914200046702e52fdfb3c060c0da92d8abd4642\",0,\"algebra_181496\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006933.lean\",\"cf495abc2e8d610dabc27b153eadf5b33948b00449d9a8b15f528f3f12a7b4c8\",1,\"algebra_95428_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006934.lean\",\"fd3f31ad3a79a905d88a0dd46a0127df6e1e68ea20119969b2ca2d4453dd186c\",0,\"number_theory_16009\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244829,
+      "path": "data/train/p9d/numina-001386-0000-67bd35ea8c7b9097.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "67bd35ea8c7b9097a03cdebddc27eea5117b6d283b7b96d83c629b074f24308d"
+    },
+    {
+      "bytes": 49709,
+      "path": "data/internal_test/p9d/numina-001386-0000-8e4aaa545cfa6601.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8e4aaa545cfa6601ce7b71ef152411bd053d87e6f2a41f0aba0a178a8fe826c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001387.json b/manifests/batches/numina/001387.json
index e185261b9ba36d9194584e611d28b38b703823bd..6ef3d2e314544465582dace6b246979ec9453ceb 100644
--- a/manifests/batches/numina/001387.json
+++ b/manifests/batches/numina/001387.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001387",
   "batch_fingerprint": "d46ca8728c7b11d563523c22ab5fb1fc6469c7bc048a2dd80b13532e4e1b6874",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001387-0000-886813ee188d34c5.parquet",
-      "sha256": "886813ee188d34c5a89963b56b1f4e86d8d00ffe8c901f4e6191311392f21110",
-      "bytes": 207589,
-      "rows": 17,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/dev/numina-001387-0000-1876f93ec44ef5da.parquet",
-      "sha256": "1876f93ec44ef5dac7fc7635b72495709817afb3bbb6e9579c3189bded7ba4aa",
-      "bytes": 52142,
-      "rows": 3,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12bcdb4e-2695-54f0-998e-4d65e38b47e0",
     "numina:33b83cd5-e12e-5e98-a42d-a7b64d5872be",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006937.lean\",\"dc8b8852a733fcf1cf191398dfb212ede0bee0b49f2a3d921e8b57965ac64c70\",0,\"algebra_608565\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006938.lean\",\"dc6341b9b0ee92f8aa26dba3e360b1b5ba39b520d502b050d1690dd680119dd0\",0,\"algebra_611052\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006939.lean\",\"f1aa75232d61df2092c5d09b5d50104100913529849ed1455889bfc71488a3b7\",0,\"number_theory_145378\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207589,
+      "path": "data/train/p4b/numina-001387-0000-886813ee188d34c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "886813ee188d34c5a89963b56b1f4e86d8d00ffe8c901f4e6191311392f21110"
+    },
+    {
+      "bytes": 52142,
+      "path": "data/dev/p4b/numina-001387-0000-1876f93ec44ef5da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1876f93ec44ef5dac7fc7635b72495709817afb3bbb6e9579c3189bded7ba4aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001388.json b/manifests/batches/numina/001388.json
index 2e7074c445c5533b4bcb011f07b7b825ec331661..96686a28331c7afdb5bc8b375e3455ee90c269e4 100644
--- a/manifests/batches/numina/001388.json
+++ b/manifests/batches/numina/001388.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001388",
   "batch_fingerprint": "2c4bfcdc90b028b90411d8f68dcf9c84d1e398b655e8f8f453c4c596a4192383",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001388-0000-0307110b9532fc16.parquet",
-      "sha256": "0307110b9532fc166ce5fb85f4390978b007dc0e521d197e3c168c097e0814eb",
-      "bytes": 251968,
-      "rows": 18,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:90d43bb5-cada-532a-ab5c-50db7845d482",
     "numina:9d3572bb-2ac2-55b2-95d2-91c54e9ae2f1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006942.lean\",\"7bc9f5a7e4ed554a42c7a0660dfb6e2886e556e81f68936527b4d11ead0835d3\",0,\"algebra_9035\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006943.lean\",\"a0c7d43aa4afee44914ac1a697010d27c0cdc387e0bcc0141dbcf01381913839\",0,\"number_theory_611268\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006944.lean\",\"8f6e1df1f2209057cd11c03f875c138bdc3f6614fc7f8732c7d7264de9973491\",0,\"number_theory_608570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251968,
+      "path": "data/train/pa4/numina-001388-0000-0307110b9532fc16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0307110b9532fc166ce5fb85f4390978b007dc0e521d197e3c168c097e0814eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001389.json b/manifests/batches/numina/001389.json
index cae0a7602ea89732b4841ddd8d34bd8c6d1e895d..74e31e6304ab42d5b2bcbffb528e1334b066ba9c 100644
--- a/manifests/batches/numina/001389.json
+++ b/manifests/batches/numina/001389.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001389",
   "batch_fingerprint": "4e493399f268b10c304014f7358bafafe8874f3986ca00a69a18d09b1e1d6dc2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001389-0000-2431d6f162dc883e.parquet",
-      "sha256": "2431d6f162dc883e956e0051eb43a7b6648276416836a9e5414f4aad513af437",
-      "bytes": 528039,
-      "rows": 42,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/dev/numina-001389-0000-71b9f4a62686eae5.parquet",
-      "sha256": "71b9f4a62686eae550646a8b5e0193a1e91f7837116d9bb2d2a987679513d888",
-      "bytes": 32467,
-      "rows": 2,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31f08342-06b0-5ae4-9315-d25cca120e91",
     "numina:44904cd0-bf6e-53c7-9fc1-5fb082f01013",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006948.lean\",\"4fddf61e2688cb96115e44fe431dfdb5b4de27d069ed7c2e1295c754ff591e68\",0,\"algebra_9036\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006949.lean\",\"16ca689dc3acb93793b4f71aa28ca1683017df5bf0bf1bb963df41cc15dddedc\",0,\"number_theory_58557\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528039,
+      "path": "data/train/p3e/numina-001389-0000-2431d6f162dc883e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "2431d6f162dc883e956e0051eb43a7b6648276416836a9e5414f4aad513af437"
+    },
+    {
+      "bytes": 32467,
+      "path": "data/dev/p3e/numina-001389-0000-71b9f4a62686eae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "71b9f4a62686eae550646a8b5e0193a1e91f7837116d9bb2d2a987679513d888"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001390.json b/manifests/batches/numina/001390.json
index e29582002830eda327cd6693b0979d5f322f853c..a6772cc8126d35577c4b4d121dc20d5a30340ce1 100644
--- a/manifests/batches/numina/001390.json
+++ b/manifests/batches/numina/001390.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001390",
   "batch_fingerprint": "0be5ff220300adb39ab2a8ed748348cb87279aa20bca0599f46bc8a2aa0feed1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001390-0000-4efd9c133bd24384.parquet",
-      "sha256": "4efd9c133bd2438494670d7a39ca38451c612f2d1d882fb8ded14e77f8bb41f3",
-      "bytes": 178712,
-      "rows": 24,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:386498e5-7f79-51e3-a482-3d011a6f6436",
     "numina:773317d0-aca7-54d8-86dc-f0c08d7d5c05",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006952.lean\",\"ec9005dc4bc5ab515681d3f76f2bf6b3988042c70127f3ca55fc40e3cf7277b0\",0,\"calculus_22272\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006953.lean\",\"e47efbe82ea325432158babcae451c13808529886ad3e14bfa3a0963bb52cfb6\",0,\"number_theory_82056\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006954.lean\",\"b50872b9abc57ce58fd5b86424859c49ac4ce84ece19b58ec1f84d60ad0db246\",0,\"algebra_9038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178712,
+      "path": "data/train/pd0/numina-001390-0000-4efd9c133bd24384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "4efd9c133bd2438494670d7a39ca38451c612f2d1d882fb8ded14e77f8bb41f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001391.json b/manifests/batches/numina/001391.json
index 963478ffb2f477e814ac2d743f56f072c597f7e9..225908fe41aaba3e8910d28ed3668052988d972f 100644
--- a/manifests/batches/numina/001391.json
+++ b/manifests/batches/numina/001391.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001391",
   "batch_fingerprint": "cbf7eac21d7497b9e2c9a75456596d41df6abc0cbde60257c2b64acf5ec88acf",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001391-0000-08d7ddc56170206f.parquet",
-      "sha256": "08d7ddc56170206f4f9517e925ffef5d5d952152a93486aee28ba98c34058799",
-      "bytes": 420648,
-      "rows": 47,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05e87a03-b7db-57dd-9233-9284c35f7feb",
     "numina:234131ae-ee8e-5e2c-869f-bdf34ddad8f4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006957.lean\",\"edfaa1b4b4839289d1c26332a5410a82f54de000b9aaf09f5b10a89841176baf\",0,\"number_theory_4844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006958.lean\",\"0778c8d6b4ac1ce26339ce1a9e5cb3e92a6e1b9dee0add1660bbd04f22dee188\",0,\"inequalities_607832\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006959.lean\",\"aa2ec696bfe8cd3ba70bea1f92c97471259ddf311dee1fd53ae51358814a4c5a\",0,\"number_theory_611288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 420648,
+      "path": "data/train/pb7/numina-001391-0000-08d7ddc56170206f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "08d7ddc56170206f4f9517e925ffef5d5d952152a93486aee28ba98c34058799"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001392.json b/manifests/batches/numina/001392.json
index 5a09ca50459af940182310a59e31a7af33081917..d1e4c73ae5133d5c737b1f7a6dc581ef6e3456a4 100644
--- a/manifests/batches/numina/001392.json
+++ b/manifests/batches/numina/001392.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001392",
   "batch_fingerprint": "0da716249ca88b5c99c3428fef6973eeb960e7a7077cc33af77a25fae81e90ff",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001392-0000-f8de9a63b9cc2f9c.parquet",
-      "sha256": "f8de9a63b9cc2f9cd2f7478098f9a4fb548099eb3fb31c8ec5d2b7379b424579",
-      "bytes": 278229,
-      "rows": 46,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23b36b28-7d94-5735-92a1-035d12722e77",
     "numina:a38fd99e-3e71-5ae4-b60d-606d83b56d18",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006964.lean\",\"c9530b166d159101fa2487a4bc818af410f0345762ec503f148adff678ab9378\",0,\"algebra_607355\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278229,
+      "path": "data/train/p3f/numina-001392-0000-f8de9a63b9cc2f9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "f8de9a63b9cc2f9cd2f7478098f9a4fb548099eb3fb31c8ec5d2b7379b424579"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001393.json b/manifests/batches/numina/001393.json
index 8d056aa35de5d37dc41cb7bb03dc939644de55bb..5ae8e4d97a7e99168a537fcafd113049048695bd 100644
--- a/manifests/batches/numina/001393.json
+++ b/manifests/batches/numina/001393.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001393",
   "batch_fingerprint": "86d85c611467cd58e5bbd3eae71a3426fda95ca3d8de3685c2d6cf164f3c8b3a",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001393-0000-5f2157873cf51609.parquet",
-      "sha256": "5f2157873cf516093ef01fd4e8a15ebeb3f45a8587b09fa1c68a7d58e2b250b1",
-      "bytes": 66522,
-      "rows": 12,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    },
-    {
-      "path": "data/internal_test/numina-001393-0000-c6ae30cb97f0ce26.parquet",
-      "sha256": "c6ae30cb97f0ce268bb336aee4d6b50164762754cf92376156199f277207d12b",
-      "bytes": 320353,
-      "rows": 29,
-      "revision": "68f10caf0509f25d55f12ac0c8b3c67f9bc3268a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:35d37fcc-a9dc-5b8c-997e-d7fbc3e81ba6",
     "numina:c0788f6d-137c-55ea-ba90-cdae27ee92b4",
@@ -76,5 +60,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 66522,
+      "path": "data/train/p49/numina-001393-0000-5f2157873cf51609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5f2157873cf516093ef01fd4e8a15ebeb3f45a8587b09fa1c68a7d58e2b250b1"
+    },
+    {
+      "bytes": 320353,
+      "path": "data/internal_test/p49/numina-001393-0000-c6ae30cb97f0ce26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c6ae30cb97f0ce268bb336aee4d6b50164762754cf92376156199f277207d12b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001394.json b/manifests/batches/numina/001394.json
index ad78bd6ba0f476bb0628a1989fc5b58773f20bd5..348ef9a76045fc3f01658e361ae2e8197dcbf86d 100644
--- a/manifests/batches/numina/001394.json
+++ b/manifests/batches/numina/001394.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001394",
   "batch_fingerprint": "5faefaa343a27a4a066059aa7cb03524b359c00e773d2f420c368cb9e6d1bccd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001394-0000-0026f64b24d2f04d.parquet",
-      "sha256": "0026f64b24d2f04d83f9517c1146a6958f5d3df1e5ca7ba5b479292765e7cd65",
-      "bytes": 90091,
-      "rows": 23,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:006b5904-fa12-51d3-9554-96db63601486",
     "numina:064daf4b-f9f1-5360-8a32-3aef7f0e6a30",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006974.lean\",\"72c26428197b4b577da6ba7a6e60840e0012b9ead1f8aeaed341f6da3a0efd7b\",0,\"number_theory_165209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90091,
+      "path": "data/train/p8d/numina-001394-0000-0026f64b24d2f04d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "0026f64b24d2f04d83f9517c1146a6958f5d3df1e5ca7ba5b479292765e7cd65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001395.json b/manifests/batches/numina/001395.json
index 867a5e057322d508cdef474fe8245b722c091c56..8359e48fee097421e12cc627aca1c441904a4cc3 100644
--- a/manifests/batches/numina/001395.json
+++ b/manifests/batches/numina/001395.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001395",
   "batch_fingerprint": "93652d776b40dc3b5c3ee4ecb57bd41db858dad4d4ae0610f23b4f137ae6c3e2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001395-0000-6e124458d6bb5603.parquet",
-      "sha256": "6e124458d6bb5603040960786af4f4deb3d32241e30ac31128b1a4df98f95a33",
-      "bytes": 270731,
-      "rows": 43,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:09fba0e0-24db-558b-920e-882d4bb94f01",
     "numina:8a465ac4-75c8-586a-92bc-a0bd3fbc8e7b",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006978.lean\",\"a7f62567ba1da151ef5b35f425f5ed92b42e102b92684315810d8f45c7500d0a\",0,\"calculus_228554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006979.lean\",\"bbe8900a6e5ca5be95d21bf109d590f9a5337d1c7e116e91d5810273ddc5c3bf\",0,\"algebra_9067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270731,
+      "path": "data/train/p27/numina-001395-0000-6e124458d6bb5603.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "6e124458d6bb5603040960786af4f4deb3d32241e30ac31128b1a4df98f95a33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001396.json b/manifests/batches/numina/001396.json
index 1440d13ad6f49929d8d3f5a8cea14234d98cb1bb..fe09fc14e75388c51710ece1488a52d1d4e73c02 100644
--- a/manifests/batches/numina/001396.json
+++ b/manifests/batches/numina/001396.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001396",
   "batch_fingerprint": "f9acd7f59028d4ca9e11281d2ad80ac69bac7559e578c1a11188d5dc54947d52",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001396-0000-15b244e1f186dcd9.parquet",
-      "sha256": "15b244e1f186dcd95398826ce2bcdc0ead564433c5bc5e4a05c9928fe134270c",
-      "bytes": 565882,
-      "rows": 70,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12673f39-4e96-5d2f-a618-c720bcedbcdf",
     "numina:385b5403-3748-5b53-9651-86f74d028303",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006983.lean\",\"42f273620ea12dbef06ef66efc0b8494c5b52e6a453042d51e3ade3bb48fd36f\",0,\"algebra_96472\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006984.lean\",\"8077b4ae7492bfebaf621701ed2fc42e887ca16f33cd039967a67660a12e146d\",0,\"algebra_19524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565882,
+      "path": "data/train/p6a/numina-001396-0000-15b244e1f186dcd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "15b244e1f186dcd95398826ce2bcdc0ead564433c5bc5e4a05c9928fe134270c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001397.json b/manifests/batches/numina/001397.json
index d362109dcd99fc425fc5b968f455de89e7c8016c..113a02b9ce2add2b69de951cdcbe6b2969e479ce 100644
--- a/manifests/batches/numina/001397.json
+++ b/manifests/batches/numina/001397.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001397",
   "batch_fingerprint": "cbd8f7f134ab1e584df6fe5d86ec67d2d5a6f5ef4acc44e5ecc5f8d2ddda5153",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001397-0000-5ba9429673c6f66c.parquet",
-      "sha256": "5ba9429673c6f66c89a89e9af8931138d2f9dc432b85a566d0ba036e4461b394",
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-      "rows": 12,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001397-0001-386ed771ef094986.parquet",
-      "sha256": "386ed771ef094986b7842008c93f782541e9712d3cebfb96b0f07c43300c8667",
-      "bytes": 794635,
-      "rows": 15,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001397-0002-b2ac8baeaca5856f.parquet",
-      "sha256": "b2ac8baeaca5856f57db285b8f2e332f4850f17754c1c37f761137d2d12ab5ea",
-      "bytes": 215115,
-      "rows": 6,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:745791df-6e04-5a4b-9316-c28ebe59440c",
     "numina:77383006-c4ad-5088-884d-ecbcc9880c7b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006987.lean\",\"d4865704bf6f4112fab67dc07e989934f6561ba8aceed393e1ba25987e6689c4\",0,\"algebra_9165\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006988.lean\",\"4f363bfd8bfb3edaed2bc930f47fa7480d96a417182229bd2cb7dc93d687fb57\",0,\"algebra_3374\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006989.lean\",\"a0caf8c8e0cfae4d0b6957cadb9dbd673b77e589ba9dd5e2b3383c12f3fd293a\",0,\"algebra_98574\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1586381,
+      "path": "data/train/p56/numina-001397-0000-5ba9429673c6f66c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5ba9429673c6f66c89a89e9af8931138d2f9dc432b85a566d0ba036e4461b394"
+    },
+    {
+      "bytes": 794635,
+      "path": "data/train/p56/numina-001397-0001-386ed771ef094986.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "386ed771ef094986b7842008c93f782541e9712d3cebfb96b0f07c43300c8667"
+    },
+    {
+      "bytes": 215115,
+      "path": "data/train/p56/numina-001397-0002-b2ac8baeaca5856f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b2ac8baeaca5856f57db285b8f2e332f4850f17754c1c37f761137d2d12ab5ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001398.json b/manifests/batches/numina/001398.json
index b6c11c55ce13bf8910889aeb1d584ec9648d2056..fb6df499c4df7e22edef515f9934261f1a52e0cd 100644
--- a/manifests/batches/numina/001398.json
+++ b/manifests/batches/numina/001398.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001398",
   "batch_fingerprint": "952f6d44ab1b17485362f88f80000ab46b348b26343271f24ebeaa749f4b9576",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001398-0000-519dccbce0e69519.parquet",
-      "sha256": "519dccbce0e695190a36bd1f697b39c9670af41e478f6f0fecfc825bb2833cf0",
-      "bytes": 141199,
-      "rows": 20,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13a7fc5c-5700-5fc2-874f-f1e207c328a1",
     "numina:140cb690-b3b8-5ae5-91e5-d580176e0abc",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006992.lean\",\"52e0760aa9eb5be7d4bd8acba6a73b2c2f882962271a04415edafc6b6995c94c\",0,\"algebra_9166\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006993.lean\",\"d88b61c5c781c64d4efba6128bbe432d667e237dcb6b1baee29cfc0121ddfafd\",0,\"inequalities_4946\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006994.lean\",\"4f4ed3042f234b9cf908f53b5b022d02eeb1dd2e5944f13cfe17129d6be3b7d9\",0,\"algebra_121912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141199,
+      "path": "data/train/pab/numina-001398-0000-519dccbce0e69519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "519dccbce0e695190a36bd1f697b39c9670af41e478f6f0fecfc825bb2833cf0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001399.json b/manifests/batches/numina/001399.json
index 4eb75a0e94a44ccf4c80377540531140b1306d39..797b329fa1e13af96e38a336a74280a5394a4f5e 100644
--- a/manifests/batches/numina/001399.json
+++ b/manifests/batches/numina/001399.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001399",
   "batch_fingerprint": "8e66aa24d3cced0150eaeaef3cba06be7bf87d6cd7d545205e85ed69a61ea8c8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001399-0000-23bcd81ff677835f.parquet",
-      "sha256": "23bcd81ff677835f34fe337166522b94a87f1534159a1ca6e3d2d181c568804c",
-      "bytes": 434022,
-      "rows": 33,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/internal_test/numina-001399-0000-930c4fc11a3c11f1.parquet",
-      "sha256": "930c4fc11a3c11f1c7fc162f476716144a84134a0e1c8a00f00727a49f65c8c5",
-      "bytes": 92547,
-      "rows": 10,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3c6709ee-35c4-58c8-a2c4-0c860753c4cb",
     "numina:68455911-ca48-5fb8-bdd0-130921e9d559",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006997.lean\",\"b3620b7439fa8e4213c4f9ed5e9e17f7c56e815f91a4c9a89bc5dd719da7889e\",0,\"algebra_189236\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006998.lean\",\"7296a297604faaa2b62e79223e6dff5dc7796a7ee09d658ec6d0a5c02121fb89\",0,\"algebra_607360\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_006999.lean\",\"d9484aa44e5f231de6bf3671aa33ef793e0e0609e1973316a726f141026e05e0\",0,\"inequalities_605034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434022,
+      "path": "data/train/p00/numina-001399-0000-23bcd81ff677835f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "23bcd81ff677835f34fe337166522b94a87f1534159a1ca6e3d2d181c568804c"
+    },
+    {
+      "bytes": 92547,
+      "path": "data/internal_test/p00/numina-001399-0000-930c4fc11a3c11f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "930c4fc11a3c11f1c7fc162f476716144a84134a0e1c8a00f00727a49f65c8c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001400.json b/manifests/batches/numina/001400.json
index 39f124b6edf47b10848e3816b4040b8a747fb271..85c9c1b661faefe52e5de04ecadc19eb4d2151e4 100644
--- a/manifests/batches/numina/001400.json
+++ b/manifests/batches/numina/001400.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001400",
   "batch_fingerprint": "dae0b42edb24444274fa82ef700957c9ac8c2ef31458daaabcc9eeb014f62f74",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001400-0000-b4e1c08996c46745.parquet",
-      "sha256": "b4e1c08996c46745b33f241a3f0b29a32e0aab42629311aa378b404b0daaf435",
-      "bytes": 64860,
-      "rows": 17,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    },
-    {
-      "path": "data/dev/numina-001400-0000-feec1c42a0722ecf.parquet",
-      "sha256": "feec1c42a0722ecf4b0cba34c85cd11df85d2624d0c5471385f96a256638ba9a",
-      "bytes": 105907,
-      "rows": 13,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:273e3ff4-3d9f-5718-b73d-4ed64eb7df95",
     "numina:ad7b0d44-fb84-5768-8015-bb3792fbaa4c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007002.lean\",\"f3eba4d6186c5b56989ba43cd6c0801749aeda229f7694fdca46e0a599832e49\",0,\"number_theory_280132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007003.lean\",\"263b91d37092037eac632b44d3fb4eb5b50034cd92d36cb4057c47d41a0a1f6d\",0,\"algebra_122063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007004.lean\",\"5f7f5dcf2e2e13c08dea8d4e871da6492c6febb373e6db4d1314d2d332daa0f3\",0,\"algebra_21652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64860,
+      "path": "data/train/pfa/numina-001400-0000-b4e1c08996c46745.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b4e1c08996c46745b33f241a3f0b29a32e0aab42629311aa378b404b0daaf435"
+    },
+    {
+      "bytes": 105907,
+      "path": "data/dev/pfa/numina-001400-0000-feec1c42a0722ecf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "feec1c42a0722ecf4b0cba34c85cd11df85d2624d0c5471385f96a256638ba9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001401.json b/manifests/batches/numina/001401.json
index 671b013c713cb86f3e60b5300aef38d90c5eb39b..fc171e8a2aa1e20d35450a04b0dff7f6d1629dff 100644
--- a/manifests/batches/numina/001401.json
+++ b/manifests/batches/numina/001401.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001401",
   "batch_fingerprint": "a7dd9dbe398bbdd31c58b7432731eff90b623758d1ffa0708e404184bf878dfb",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001401-0000-0035f93a9ad9c875.parquet",
-      "sha256": "0035f93a9ad9c87530af88684b218eb17c97cd5943b520df24c9d678ec91ec11",
-      "bytes": 230604,
-      "rows": 9,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001401-0001-42f074a9700b1855.parquet",
-      "sha256": "42f074a9700b1855beef227f5cd711bd3a5fa5b962880e04c012075c9447f901",
-      "bytes": 779288,
-      "rows": 6,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001401-0002-802b38f373e0d57a.parquet",
-      "sha256": "802b38f373e0d57a02daa1601bd7ac1d0239980fe4d4e78e109fdafca15681d7",
-      "bytes": 334699,
-      "rows": 33,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4ce0e3bf-9457-5b51-bae1-f15a16383497",
     "numina:540f10ba-3830-5354-bc3f-6903eab82f7f",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007007.lean\",\"3ccb7c371f128ad453bc79c38d99f80b8612638016b21d370b58d3be9b348ab8\",0,\"inequalities_617622\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007008.lean\",\"65c4a6dc5d858a25c2325467f8c743479971b4339447c9799fa85e6337878d58\",0,\"inequalities_70890\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007009.lean\",\"9edeecc075d3318093a83cee1e40334da4c399f7d70eeb445c4c7abb0fd0b95b\",0,\"algebra_96773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230604,
+      "path": "data/train/p1b/numina-001401-0000-0035f93a9ad9c875.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0035f93a9ad9c87530af88684b218eb17c97cd5943b520df24c9d678ec91ec11"
+    },
+    {
+      "bytes": 779288,
+      "path": "data/train/p1b/numina-001401-0001-42f074a9700b1855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "42f074a9700b1855beef227f5cd711bd3a5fa5b962880e04c012075c9447f901"
+    },
+    {
+      "bytes": 334699,
+      "path": "data/train/p1b/numina-001401-0002-802b38f373e0d57a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "802b38f373e0d57a02daa1601bd7ac1d0239980fe4d4e78e109fdafca15681d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001402.json b/manifests/batches/numina/001402.json
index 6cf2a76259bdbd34daabdef364dcfc04015e44d2..a3134eac90fede9fd6ebef1836d830832cc86141 100644
--- a/manifests/batches/numina/001402.json
+++ b/manifests/batches/numina/001402.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001402",
   "batch_fingerprint": "7b83b9cd76278d412b517ab11c2c5fbb4432cae659ee9c9ae42c261dee6f24c9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001402-0000-fc513821cdfe7267.parquet",
-      "sha256": "fc513821cdfe726740f0f02990e4086401ff82f3a79efcbd2f9c72a968de8eb7",
-      "bytes": 591201,
-      "rows": 19,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001402-0001-bf5194962bf30655.parquet",
-      "sha256": "bf5194962bf30655d751f2cf98d2f5205a90b8990626a9122926b600adf2b5da",
-      "bytes": 618373,
-      "rows": 20,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55640786-a6b6-5e96-82ff-529816289754",
     "numina:76dc3443-72bc-5aed-b801-a7f66205a8e8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007012.lean\",\"92305be25e48a36f8605e6137b14de7f49cbd49da573069c804a3f90ec4e8b55\",0,\"algebra_9116\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007013.lean\",\"d68c684a65f8c6ea8d83adf3754c47d11322c47ad514bce3da9ba3415fc24de9\",0,\"number_theory_261170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007014.lean\",\"f8a18a563203fec88567351665d64bffa9c2cc52932ff7ccaa92d90f0087a881\",0,\"calculus_120121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 591201,
+      "path": "data/train/pcf/numina-001402-0000-fc513821cdfe7267.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fc513821cdfe726740f0f02990e4086401ff82f3a79efcbd2f9c72a968de8eb7"
+    },
+    {
+      "bytes": 618373,
+      "path": "data/train/pcf/numina-001402-0001-bf5194962bf30655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "bf5194962bf30655d751f2cf98d2f5205a90b8990626a9122926b600adf2b5da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001403.json b/manifests/batches/numina/001403.json
index ffcfcf341d2142b7f1465f94900ce8714f4465a0..97b07a55ec89263d63812cde9423fad6fa866873 100644
--- a/manifests/batches/numina/001403.json
+++ b/manifests/batches/numina/001403.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001403",
   "batch_fingerprint": "656d31d5c83368bc1ba5e4eb619a56740962bbb162f57a1720df9886f77ae9a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001403-0000-cc5d037963df2f41.parquet",
-      "sha256": "cc5d037963df2f41aacea1c2ec361f65166d8625b3ef18f6cf30cd7811d29117",
-      "bytes": 509349,
-      "rows": 30,
-      "revision": "6a3d2d550a5e8f26af70e44381b84ab7563dc62c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04f3d032-d13d-5519-89b9-3467ac868fb5",
     "numina:30869115-24ff-589a-b517-2afd1bf88698",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007017.lean\",\"348f76c0720f631f9e52af823e91a84f9d4e6afd27938c5459abb60f15fe27a6\",0,\"algebra_19412\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007018.lean\",\"84eef59bbc567a4958f504c65d5b873255f18676c2730c5e037198bab61cfed5\",1,\"number_theory_214071.number_theory_214071_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007019.lean\",\"ec42c476f8c80a7861f53385a38b8c7f2406753ea2f8c83ec25e4026807dcd29\",0,\"number_theory_605043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509349,
+      "path": "data/train/pa3/numina-001403-0000-cc5d037963df2f41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "cc5d037963df2f41aacea1c2ec361f65166d8625b3ef18f6cf30cd7811d29117"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001404.json b/manifests/batches/numina/001404.json
index 85beddf077c47520d1ae7a15d45b5dd4964fe44f..fb2a24404be4979432036c7719dfa73e1e3c31ac 100644
--- a/manifests/batches/numina/001404.json
+++ b/manifests/batches/numina/001404.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001404",
   "batch_fingerprint": "b026e00baadd8dcd39ba4d5946a23471641caa4df7c183b603cb58f579bcf212",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001404-0000-51bb368d39118c75.parquet",
-      "sha256": "51bb368d39118c7569ad22da930061645b787d3636d6eda6e6e2442f72a01b89",
-      "bytes": 913605,
-      "rows": 51,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    },
-    {
-      "path": "data/train/numina-001404-0001-0186eac021ee06e0.parquet",
-      "sha256": "0186eac021ee06e04d575c6873084ee64384d7a83296208abff726cecd9dc84e",
-      "bytes": 130879,
-      "rows": 4,
-      "revision": "bf7f26fc3970ea97c4668442008123b65ddaf851"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7146d743-a72f-5276-9fa7-6627222a3447",
     "numina:767edda1-4765-50ff-a8a5-12bdd80702eb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007022.lean\",\"096a8686c496f236f8762648e3a114b9a999c1d947f478e180fe0ea69c19b5c6\",0,\"algebra_9117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007023.lean\",\"f9791c17155fe968e4fc267fa4d31c3ca4eaee84c9995f45650d3ebc366db13c\",0,\"number_theory_98638\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007024.lean\",\"29b4cc9eca72c2e644c1fa215057597c523034793ef8794ef43a5de071a34b66\",0,\"algebra_21668\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 913605,
+      "path": "data/train/p5a/numina-001404-0000-51bb368d39118c75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "51bb368d39118c7569ad22da930061645b787d3636d6eda6e6e2442f72a01b89"
+    },
+    {
+      "bytes": 130879,
+      "path": "data/train/p5a/numina-001404-0001-0186eac021ee06e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0186eac021ee06e04d575c6873084ee64384d7a83296208abff726cecd9dc84e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001405.json b/manifests/batches/numina/001405.json
index e83311f229292bb1484b66dd3d3510c11e93441d..5b2cd32c8915016383339685f3cef75c4e7fbff8 100644
--- a/manifests/batches/numina/001405.json
+++ b/manifests/batches/numina/001405.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001405",
   "batch_fingerprint": "88a9a303e9c150969fdac1e0398e8dfdc4464036e8d0bb7107dde8e96e0f346f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001405-0000-7330d0e9918a6197.parquet",
-      "sha256": "7330d0e9918a6197835563f775250b5e394ce783056df7fcba2d92f96d78fc79",
-      "bytes": 361048,
-      "rows": 22,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/numina-001405-0000-07213ab6d5354f10.parquet",
-      "sha256": "07213ab6d5354f1007171b219ac09a69af96084172565fc772250d83ae4817a9",
-      "bytes": 459822,
-      "rows": 42,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/numina-001405-0000-b01423db3dd97c6c.parquet",
-      "sha256": "b01423db3dd97c6c7f64f0dcf77cec3148abb3c45fcb37ac7b5c4e06d15f24b3",
-      "bytes": 121596,
-      "rows": 6,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63b33168-a051-5f38-a5f8-9d90765c3aa0",
     "numina:8adde65e-278b-5a77-b54e-3ff4f3c17b9b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007027.lean\",\"f2e8c41193e3cd1c010cdc35fd066f331c9cf3e7f45f8300b7d68be54bfb2fc7\",0,\"algebra_9064\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007028.lean\",\"ce74768f8d5d83089904704f67dff7f5eb4856536bc6c9b9911017dbb2004669\",0,\"calculus_111982\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007029.lean\",\"9855a2cc23fe6e188effcae8140cefdf653e5c708d33e61e8e673cd1c351e5ab\",0,\"number_theory_98643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361048,
+      "path": "data/train/p21/numina-001405-0000-7330d0e9918a6197.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7330d0e9918a6197835563f775250b5e394ce783056df7fcba2d92f96d78fc79"
+    },
+    {
+      "bytes": 459822,
+      "path": "data/dev/p21/numina-001405-0000-07213ab6d5354f10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "07213ab6d5354f1007171b219ac09a69af96084172565fc772250d83ae4817a9"
+    },
+    {
+      "bytes": 121596,
+      "path": "data/internal_test/p21/numina-001405-0000-b01423db3dd97c6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b01423db3dd97c6c7f64f0dcf77cec3148abb3c45fcb37ac7b5c4e06d15f24b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001406.json b/manifests/batches/numina/001406.json
index 8fefd40cb968e8c07bd18750a81f005da9abfae5..a7126736ea69f9286167ae8e0fae9ec8c5af1103 100644
--- a/manifests/batches/numina/001406.json
+++ b/manifests/batches/numina/001406.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001406",
   "batch_fingerprint": "aadf027c5a17f31fdcd1002f3c113c8c32216cd03e23f37fff0b2d9c6714ad91",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001406-0000-c02636ae1f6c0ed9.parquet",
-      "sha256": "c02636ae1f6c0ed93d254069ccf882c45c2755bacce44974a0a564393342b53a",
-      "bytes": 593330,
-      "rows": 40,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1f303f65-67fb-5cb4-b9cc-1d33e57b9903",
     "numina:3be40421-1699-52d3-a49c-841fa791d267",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007032.lean\",\"73c2d9e941461653d646e658ed233c1d0b706e5b5d09f6890d38a988bd603416\",0,\"algebra_21485\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007033.lean\",\"148e7e3fd5ee19b71e80af04c2150ea6f7ad95945b21048ade2e5bf422e0ad11\",0,\"inequalities_604264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007034.lean\",\"7455b2f92dd22ffa907aa74039cfb4e5bf2df52dc13d8cd0e828d2ad1d370d11\",0,\"number_theory_611356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 593330,
+      "path": "data/train/p49/numina-001406-0000-c02636ae1f6c0ed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "c02636ae1f6c0ed93d254069ccf882c45c2755bacce44974a0a564393342b53a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001407.json b/manifests/batches/numina/001407.json
index f00e5ae32e82d59f2eb0d3bdfccfd5699b12d834..ffbecb7dcd4371d4a1cb2e90cd0b0b747878112c 100644
--- a/manifests/batches/numina/001407.json
+++ b/manifests/batches/numina/001407.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001407",
   "batch_fingerprint": "1586d804f3b51a599b98770f640da8ff263c530d42cddb21ad1f0cff305a07bf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001407-0000-b96eefed95c42219.parquet",
-      "sha256": "b96eefed95c422191914925a3b126578eb749aaf480af27c563b14a09d1c1ae6",
-      "bytes": 263347,
-      "rows": 23,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/numina-001407-0000-cb25421b074ec6a3.parquet",
-      "sha256": "cb25421b074ec6a3356a3deff14d98b7f538fb08119ce3f7070f6bd1034484bc",
-      "bytes": 78870,
-      "rows": 5,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10a79973-923d-56f1-8c6f-fee00661f644",
     "numina:64e59ca1-824f-5b47-aede-ffe3549a5bea",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007037.lean\",\"12184784659db0d289a842b462e3e40e6cc84a338d9afcd7a3dd6e1940739a21\",0,\"algebra_163960\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007038.lean\",\"53a7cef3f7d9bb1e063427048f223b11230e134bcc01fbc290acc841d967323e\",0,\"algebra_95732\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007039.lean\",\"bd2ea05e605b026c08cf9cf1a2f2ef71b41be0ee1fa84ae689857b864060d0fb\",0,\"inequalities_259385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263347,
+      "path": "data/train/pcc/numina-001407-0000-b96eefed95c42219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b96eefed95c422191914925a3b126578eb749aaf480af27c563b14a09d1c1ae6"
+    },
+    {
+      "bytes": 78870,
+      "path": "data/internal_test/pcc/numina-001407-0000-cb25421b074ec6a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cb25421b074ec6a3356a3deff14d98b7f538fb08119ce3f7070f6bd1034484bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001408.json b/manifests/batches/numina/001408.json
index 44ea586dcb80aae6bf4dbb5ae6fa068705fcdca7..5663e3fdf7e5446c0c175a2914e0fa869607da3b 100644
--- a/manifests/batches/numina/001408.json
+++ b/manifests/batches/numina/001408.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001408",
   "batch_fingerprint": "8a8c573d03b1a8cd44b112c7d484bc1090f2560509eaf13ef9b12756114172dc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001408-0000-e240d495d8ad20f4.parquet",
-      "sha256": "e240d495d8ad20f4be8c2d3a0c8d24af993fe4013c37290261357355c068f7a2",
-      "bytes": 174991,
-      "rows": 29,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:140b97a1-0c9a-5209-81cf-8327625edcde",
     "numina:2375dd5a-a450-5827-bdf4-c682fea5fec3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007042.lean\",\"d10b31d2c5e118e9b6412760c346015327e65fd446b892029b944da241e7e59d\",0,\"number_theory_114397\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007043.lean\",\"a85744fb0c13f4cff75900d3bf702151bb18688afa27087d41b3709ddd18ee7a\",0,\"algebra_96109\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007044.lean\",\"2961cbaf3bdd041dd8ab14022fa9fbda7387701efa65ca6e184108430094c819\",0,\"algebra_11857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174991,
+      "path": "data/train/p70/numina-001408-0000-e240d495d8ad20f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e240d495d8ad20f4be8c2d3a0c8d24af993fe4013c37290261357355c068f7a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001409.json b/manifests/batches/numina/001409.json
index fbbff7498a4c31323ef56f7440f97aafc59bf7e7..794ce0c734e1c67ddd3a4a3192e413feb01aeb21 100644
--- a/manifests/batches/numina/001409.json
+++ b/manifests/batches/numina/001409.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001409",
   "batch_fingerprint": "a77961846202d6b96c537ee574998288aaed88f2b77d2d0dc77e39c2bcae4eec",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001409-0000-1c65a644a4a303b5.parquet",
-      "sha256": "1c65a644a4a303b57a591e856e11c343e8b6c82f98e4ee1e7a1891fc1c4853d3",
-      "bytes": 322977,
-      "rows": 33,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/numina-001409-0000-16cdc8c8a1f7f358.parquet",
-      "sha256": "16cdc8c8a1f7f358ece9a77499cd963eb5a58cec4a20a977318563c642edcc9f",
-      "bytes": 113235,
-      "rows": 7,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:18345a84-9e67-5c0a-8ee6-b52be27eaa24",
     "numina:22979a0e-b058-54f9-bf80-1c13a30c61ec",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007047.lean\",\"acfbcd31d22a7fbb557ca0a03f4536be86d50696526a459ee03b3ff582291b02\",0,\"number_theory_624683\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007048.lean\",\"977055f15a1b74569d534c5f6a66dc8f43a44dae0ece0bbc7e91d258b094dcf9\",0,\"inequalities_114433\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007049.lean\",\"60df5e12e0ac3969f81a58126635bab4b303a37a58bdd3358a583d672e37002d\",0,\"algebra_9040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322977,
+      "path": "data/train/p40/numina-001409-0000-1c65a644a4a303b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "1c65a644a4a303b57a591e856e11c343e8b6c82f98e4ee1e7a1891fc1c4853d3"
+    },
+    {
+      "bytes": 113235,
+      "path": "data/internal_test/p40/numina-001409-0000-16cdc8c8a1f7f358.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "16cdc8c8a1f7f358ece9a77499cd963eb5a58cec4a20a977318563c642edcc9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001410.json b/manifests/batches/numina/001410.json
index 4c2b69a037cecbfe62426dd715cc9358daa5529d..3707479349adac172158d1d1996369eab5a39be0 100644
--- a/manifests/batches/numina/001410.json
+++ b/manifests/batches/numina/001410.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001410",
   "batch_fingerprint": "9c748cea2f1e4a9accf048fd0919b22d7fe4f1e11d47e43b80f27a7dd8ec968a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001410-0000-3b14b981dfcfb962.parquet",
-      "sha256": "3b14b981dfcfb962b7502cbd5da3c1e91d7ff37f2b2636273d473ee51586a1fe",
-      "bytes": 177836,
-      "rows": 18,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/dev/numina-001410-0000-1b2b0e1b33a36408.parquet",
-      "sha256": "1b2b0e1b33a36408b93b06d77f56369b6bb1162e43afc916f12265cf6b08ed90",
-      "bytes": 114016,
-      "rows": 10,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5993609f-0f8f-596f-99b2-d805c3f99631",
     "numina:7ee6de3e-81da-578b-b2b5-94d7071c0b15",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007052.lean\",\"0c8bb7bbbd1fe61345548aa6c94da1583b24a2c022fc03871c36d1538e756bd9\",0,\"algebra_9008\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007053.lean\",\"6144f8b7b5264d790673dcad2264d9689f1fff0ff559c6c2430ad23c939facb4\",0,\"algebra_101964\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007054.lean\",\"e817c8ffc1ac53be1a770ad440b6b3395fb1725dcea2c0363dd8a8a5689b11ff\",0,\"algebra_22238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177836,
+      "path": "data/train/p66/numina-001410-0000-3b14b981dfcfb962.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3b14b981dfcfb962b7502cbd5da3c1e91d7ff37f2b2636273d473ee51586a1fe"
+    },
+    {
+      "bytes": 114016,
+      "path": "data/dev/p66/numina-001410-0000-1b2b0e1b33a36408.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1b2b0e1b33a36408b93b06d77f56369b6bb1162e43afc916f12265cf6b08ed90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001411.json b/manifests/batches/numina/001411.json
index 607d9dce1bea9cd31682df9e72aa111ad3bb6361..a1b059faf37fe3fad5b44d07d8fc0b00beb952ab 100644
--- a/manifests/batches/numina/001411.json
+++ b/manifests/batches/numina/001411.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001411",
   "batch_fingerprint": "84825b6e734b95eba427bf9ad8bf987704a8e19fffaaea32177813baa1397fb0",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001411-0000-34188d37b3f1c2b8.parquet",
-      "sha256": "34188d37b3f1c2b8aa45c2cb2bb41873c3ebbd560bff8ed5ef5b5c60421e3738",
-      "bytes": 394112,
-      "rows": 45,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08ff993d-a746-51f0-b9c0-6b5abc893772",
     "numina:10df5193-d90d-5c32-a3e0-d558b1f030e0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007057.lean\",\"a23694abf58e00436e4259292b797aa1d25162906f4d86d5e94b507da54fa396\",0,\"number_theory_25102\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007058.lean\",\"f7c7d6b1da1ee7ac8c4f8931bee59c54ebd376422bdff9c4e7c5814ea6ba91b6\",0,\"number_theory_611088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007059.lean\",\"a3201ef7a8f66446629ffb554200397d1478927a9f4b8436ed95096f68c9e0d1\",0,\"algebra_9015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394112,
+      "path": "data/train/pd7/numina-001411-0000-34188d37b3f1c2b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "34188d37b3f1c2b8aa45c2cb2bb41873c3ebbd560bff8ed5ef5b5c60421e3738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001412.json b/manifests/batches/numina/001412.json
index 73800410f9d088257d3b7b8544a88482e9c9b2c1..792c3ab43f495c791febf986bb784a55f929bdea 100644
--- a/manifests/batches/numina/001412.json
+++ b/manifests/batches/numina/001412.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001412",
   "batch_fingerprint": "62c38f3f061628c5eae5e791bb992d2a043800900e44470c95031c6ecf02c14b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001412-0000-64dd4e88f84c4e10.parquet",
-      "sha256": "64dd4e88f84c4e10d248d1b47d43715d0deb844b2f5618bb8d872096f2a3617e",
-      "bytes": 169641,
-      "rows": 22,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    },
-    {
-      "path": "data/internal_test/numina-001412-0000-2dcad43e2610b080.parquet",
-      "sha256": "2dcad43e2610b08080bf8414de6cce5bab860adc0c70fc814d9a44f13b93b6ee",
-      "bytes": 64889,
-      "rows": 11,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ccda707-dc2f-55e0-a755-904264df86d1",
     "numina:84099beb-7aae-500d-859a-51485127417e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007062.lean\",\"62cda69e7de7e562a6e5084ee8b3cd03a7c4e850aa31623806c23d47567fbaa7\",0,\"inequalities_222228\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007063.lean\",\"9498e5b2b929b773bd166a77a5e768a50fbb284261e20d29518dac0f441d72a4\",0,\"algebra_94956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007064.lean\",\"d27f53a46338403323906034fe05703d42394892c1fcdb9f50ca22c068670018\",0,\"algebra_605619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169641,
+      "path": "data/train/p92/numina-001412-0000-64dd4e88f84c4e10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "64dd4e88f84c4e10d248d1b47d43715d0deb844b2f5618bb8d872096f2a3617e"
+    },
+    {
+      "bytes": 64889,
+      "path": "data/internal_test/p92/numina-001412-0000-2dcad43e2610b080.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2dcad43e2610b08080bf8414de6cce5bab860adc0c70fc814d9a44f13b93b6ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001413.json b/manifests/batches/numina/001413.json
index dbf73050c5a6966621d446212527953ceafc4e24..8a6cfe0e260e3c7c38dac71ada1182ef18f87911 100644
--- a/manifests/batches/numina/001413.json
+++ b/manifests/batches/numina/001413.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001413",
   "batch_fingerprint": "15d245bef10283cab771aeb101dd97cf65caed5fe763fd92721ccb6c8eff281d",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1993a2c7-5d65-5a5a-94c0-71c5371f37ed",
+    "numina:2d5f266b-e37c-52e2-9e6a-434ae66d812f",
+    "numina:bd958dde-13d7-5ad3-956d-a36b77a3a797",
+    "numina:cdddcf8f-02d1-5973-9097-f3ce318f5208",
+    "numina:d66a1b34-036d-55fc-bb23-7055396986fa"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007065.lean\",\"fb864e93bb339c5eb1b949e8c9eeb9f2de4b703ed54d150595792033832cec96\",0,\"algebra_239069\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007066.lean\",\"282a45c0775c567a43a73a853ba29defbd14849e97b35c794d4ced23ed16fe41\",0,\"number_theory_611089\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007067.lean\",\"6b9b810d0377b2a06108016a7de93c08d4b9df371bf58ff786e1298a189d708c\",0,\"algebra_9362\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007068.lean\",\"a12c8f52ea0216edd6a7341f0d45895b3a29fb382d8019f4bbd7916f401d03ba\",0,\"Inequalities_102070\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007069.lean\",\"c50180a927e6dd4ea4be62154c7a28c2359d26b57863923c6ba4cbbd681a4b09\",0,\"calculus_22257\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001413-0000-7a52f72c48c20812.parquet",
-      "sha256": "7a52f72c48c20812fdf88fc65287cafa2d51fa6769d11e337baf53a8e35a1a54",
       "bytes": 507544,
+      "path": "data/train/p08/numina-001413-0000-7a52f72c48c20812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
+      "sha256": "7a52f72c48c20812fdf88fc65287cafa2d51fa6769d11e337baf53a8e35a1a54"
     },
     {
-      "path": "data/train/numina-001413-0001-250f285921c23512.parquet",
-      "sha256": "250f285921c235128c754e07c209df452cb172459766ce864e2263f638241171",
       "bytes": 381043,
+      "path": "data/train/p08/numina-001413-0001-250f285921c23512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
+      "sha256": "250f285921c235128c754e07c209df452cb172459766ce864e2263f638241171"
     },
     {
-      "path": "data/train/numina-001413-0002-9fca718a5c8310f2.parquet",
-      "sha256": "9fca718a5c8310f25ca07d24b0008eafdc61265db7d2d0ae37fa82b87ea1161e",
       "bytes": 289155,
+      "path": "data/train/p08/numina-001413-0002-9fca718a5c8310f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
+      "sha256": "9fca718a5c8310f25ca07d24b0008eafdc61265db7d2d0ae37fa82b87ea1161e"
     },
     {
-      "path": "data/train/numina-001413-0003-36db12f3f5b1130b.parquet",
-      "sha256": "36db12f3f5b1130bcb3432a643f1306b9882f780fc253b372d8073a2400167a5",
       "bytes": 219291,
+      "path": "data/train/p08/numina-001413-0003-36db12f3f5b1130b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
+      "sha256": "36db12f3f5b1130bcb3432a643f1306b9882f780fc253b372d8073a2400167a5"
     },
     {
-      "path": "data/internal_test/numina-001413-0000-8313c44e27cb98af.parquet",
-      "sha256": "8313c44e27cb98af25c1911e4e51fd13bdf7be36fbcf1fa06ca09500c9c47774",
       "bytes": 493137,
+      "path": "data/internal_test/p08/numina-001413-0000-8313c44e27cb98af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "58210d2ff04923f07c38551395dc6157e04667d7"
+      "sha256": "8313c44e27cb98af25c1911e4e51fd13bdf7be36fbcf1fa06ca09500c9c47774"
     }
-  ],
-  "proof_ids": [
-    "numina:1993a2c7-5d65-5a5a-94c0-71c5371f37ed",
-    "numina:2d5f266b-e37c-52e2-9e6a-434ae66d812f",
-    "numina:bd958dde-13d7-5ad3-956d-a36b77a3a797",
-    "numina:cdddcf8f-02d1-5973-9097-f3ce318f5208",
-    "numina:d66a1b34-036d-55fc-bb23-7055396986fa"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007065.lean\",\"fb864e93bb339c5eb1b949e8c9eeb9f2de4b703ed54d150595792033832cec96\",0,\"algebra_239069\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007066.lean\",\"282a45c0775c567a43a73a853ba29defbd14849e97b35c794d4ced23ed16fe41\",0,\"number_theory_611089\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007067.lean\",\"6b9b810d0377b2a06108016a7de93c08d4b9df371bf58ff786e1298a189d708c\",0,\"algebra_9362\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007068.lean\",\"a12c8f52ea0216edd6a7341f0d45895b3a29fb382d8019f4bbd7916f401d03ba\",0,\"Inequalities_102070\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007069.lean\",\"c50180a927e6dd4ea4be62154c7a28c2359d26b57863923c6ba4cbbd681a4b09\",0,\"calculus_22257\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001414.json b/manifests/batches/numina/001414.json
index e9830c4675ad347bd732c7e94b7f73b80dd60b87..45345aef761b778f60337c01f16b9c140b288521 100644
--- a/manifests/batches/numina/001414.json
+++ b/manifests/batches/numina/001414.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001414",
   "batch_fingerprint": "6390c94f28f7496e598335b048dffbd51d665dcf9c79dd3aa440921972ac0935",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001414-0000-30ba18245d19fec5.parquet",
-      "sha256": "30ba18245d19fec51cfc087003e6936cd3656b0b7590bdc7af6a203b8f31e7f8",
-      "bytes": 488304,
-      "rows": 57,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14d3e11e-3907-58a6-8764-726a4d91bb53",
     "numina:552e742f-c6b9-5bcb-99fa-f099b50cce8d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007072.lean\",\"83023a2d4f5ad586c479f1a20941e31a2228595ec61f6a9ab563610e210715ac\",0,\"algebra_607158\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007073.lean\",\"d941409fa18d72fd932ceb1791edb9e0a75e2e47e54a50e0a13dc9b381ffff2a\",0,\"algebra_16859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007074.lean\",\"4a5ea435f71cbfbca483aca20d0f40f4ea9043d0b0fccd799579fbb7f94cdbb0\",0,\"algebra_239091\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488304,
+      "path": "data/train/pb0/numina-001414-0000-30ba18245d19fec5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "30ba18245d19fec51cfc087003e6936cd3656b0b7590bdc7af6a203b8f31e7f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001415.json b/manifests/batches/numina/001415.json
index 8aca279beddf09d5c498af68c0ac2fadb0609d44..9724506926e8076957cdd25f0978ddb638da9e98 100644
--- a/manifests/batches/numina/001415.json
+++ b/manifests/batches/numina/001415.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001415",
   "batch_fingerprint": "7cf1db8d212000e55d11e32aff4f9e0c6586337c891a5ce0d67e210af4b9b4c8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001415-0000-9d0e817f7bd38a3c.parquet",
-      "sha256": "9d0e817f7bd38a3cf621f1bb4956d15a5285678f54d57ae2ab5d689185784575",
-      "bytes": 98080,
-      "rows": 11,
-      "revision": "baa5de829f17bc1e45f1ccb9983488836d077243"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2bca8b37-87df-55f7-8b02-74dc41c390af",
     "numina:812354cf-7a49-54f1-9443-61842284df10",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007077.lean\",\"dcdabf4ad99d78eac7313f6a49b0d3fbdea7a300758efa8e9ff8821bc8cb8eda\",0,\"algebra_102073\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007078.lean\",\"88f755d1b303c3470d67b27dc9c2065cf89f4d2270e50fa87d8074677c637bb5\",0,\"algebra_281039\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007079.lean\",\"2dd032534daf596acc32e30ffa714080bf3d984e501982e9aa1aa162b2583b74\",0,\"algebra_21355\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98080,
+      "path": "data/train/pdf/numina-001415-0000-9d0e817f7bd38a3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9d0e817f7bd38a3cf621f1bb4956d15a5285678f54d57ae2ab5d689185784575"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001416.json b/manifests/batches/numina/001416.json
index 200b376d754142a052e61731e466790921b921ce..75edcecadbaacb1d43fd1ab9ab7855cedaad86cf 100644
--- a/manifests/batches/numina/001416.json
+++ b/manifests/batches/numina/001416.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001416",
   "batch_fingerprint": "451067b9a4b477d67ce5b57595781ea8d3d9011fe425e8104b0828a829b694f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001416-0000-4449c3bef812fa40.parquet",
-      "sha256": "4449c3bef812fa40ca25ad82f0900bfa847da7802c6e9e5e4ccc19d46950a253",
-      "bytes": 264068,
-      "rows": 41,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a747265-63c0-5456-bafa-ace435dd460e",
     "numina:8ad8a565-8a04-5498-abec-e33dd7629ba2",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007082.lean\",\"96d9d148496702709eee720afa595acb66cee943f16098fce861c42c6f7996e8\",0,\"algebra_190479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007083.lean\",\"7bb5626bc50f89297d29fb2e4dbf0554199ce6ef929974277128d11579bed717\",1,\"algebra_9138_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007084.lean\",\"0b1029370765e2a78e7af613f1ae6b4e4496068aac0301ea3022e126d47d9693\",0,\"algebra_167956\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264068,
+      "path": "data/train/p95/numina-001416-0000-4449c3bef812fa40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "4449c3bef812fa40ca25ad82f0900bfa847da7802c6e9e5e4ccc19d46950a253"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001417.json b/manifests/batches/numina/001417.json
index dd1d81f5bb58ab643559c7493b048c12975e312b..fb0dc54d39bc72b9b08e98ae56289848ec269e8b 100644
--- a/manifests/batches/numina/001417.json
+++ b/manifests/batches/numina/001417.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001417",
   "batch_fingerprint": "c39044ef064e26fda89d9556ba9e62ef4a4ad44ff936bdb9531995a3845235c7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001417-0000-f5be23ba14f92af4.parquet",
-      "sha256": "f5be23ba14f92af4abc56ce607d381654c6da34be28b453739dd77ed7cafcd37",
-      "bytes": 380114,
-      "rows": 42,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/numina-001417-0000-ecda739b23ab4ff6.parquet",
-      "sha256": "ecda739b23ab4ff6fe7a55eeeb9be2da0822f0fd371501467f56f22fbbb7d9b0",
-      "bytes": 433383,
-      "rows": 30,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21c1b8da-ca66-5ee7-bb13-1a4068f51f06",
     "numina:7475c054-f49f-5eed-bab7-fa02d01ddbd6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007087.lean\",\"9483adac5e383baedbd39e94962e40e2570586330133d1317cddc612f28832b2\",0,\"algebra_607160\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007088.lean\",\"9fb43f8775f0b7e35b3061fc0b340041ed210a6e124170f25a0f643f3d4ba95a\",0,\"algebra_239139\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007089.lean\",\"1e6be4153510962e1339ebaedc028de75c15063ddd6cd891269d5ad8d715e121\",0,\"algebra_137041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380114,
+      "path": "data/train/p85/numina-001417-0000-f5be23ba14f92af4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "f5be23ba14f92af4abc56ce607d381654c6da34be28b453739dd77ed7cafcd37"
+    },
+    {
+      "bytes": 433383,
+      "path": "data/internal_test/p85/numina-001417-0000-ecda739b23ab4ff6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ecda739b23ab4ff6fe7a55eeeb9be2da0822f0fd371501467f56f22fbbb7d9b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001418.json b/manifests/batches/numina/001418.json
index cdfc3ec60fa639b50cec2c2b299f191d90d1d9fa..50f8c3b5aefdd1c744513ab61c5ef9846a5b2c2e 100644
--- a/manifests/batches/numina/001418.json
+++ b/manifests/batches/numina/001418.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001418",
   "batch_fingerprint": "42f08c34a83422a95a28967fe879f0380b5f7b155a1a42756a00aeaa31bf1ba7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001418-0000-c2a381e1064ea922.parquet",
-      "sha256": "c2a381e1064ea922d56a08b6b0a0ff7dcc35b79001b29add260719c7c5fb44e7",
-      "bytes": 161476,
-      "rows": 17,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/numina-001418-0000-724810c7042dac78.parquet",
-      "sha256": "724810c7042dac788908f0ae49e7161ab6b01782d49f9280f7e50e926f79f147",
-      "bytes": 246624,
-      "rows": 25,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:741f00a6-4269-56f5-993e-64c27cb43db2",
     "numina:81dfa8e6-7469-59ef-8803-72bb27400974",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007092.lean\",\"b7bd3ecdb56120519e635aefb81b3737c28c9d74c0ffd49794f17b09c99bdb5e\",0,\"algebra_12871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007093.lean\",\"cf7accc889c106ec86a46bd5733c025a8dd77fb0bfc4c410d726197de1c57766\",0,\"algebra_607161\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007094.lean\",\"d79beb3afb6e6095436f574f096d4acbc141fe928ac0ab48e0ae24e787ee972d\",0,\"algebra_78738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161476,
+      "path": "data/train/p56/numina-001418-0000-c2a381e1064ea922.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c2a381e1064ea922d56a08b6b0a0ff7dcc35b79001b29add260719c7c5fb44e7"
+    },
+    {
+      "bytes": 246624,
+      "path": "data/internal_test/p56/numina-001418-0000-724810c7042dac78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "724810c7042dac788908f0ae49e7161ab6b01782d49f9280f7e50e926f79f147"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001419.json b/manifests/batches/numina/001419.json
index acf60213c9acaeef134b83dd2c2a67e091344a67..0dc6f59bf4f42048b4c0d78e5d2bfc784b4bc61b 100644
--- a/manifests/batches/numina/001419.json
+++ b/manifests/batches/numina/001419.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001419",
   "batch_fingerprint": "50fa010d16653681d96ba908700f6b132fe111c0ce4c113a0623a1394dde70bf",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001419-0000-b8afe63608a84f53.parquet",
-      "sha256": "b8afe63608a84f539898efb7add028c90f334b610f66f74637a700f2314af295",
-      "bytes": 474872,
-      "rows": 6,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/dev/numina-001419-0000-b243adcb5fdccc51.parquet",
-      "sha256": "b243adcb5fdccc512906024c38dd3fdb982597587a7ef5dfec795ccfa8c21b60",
-      "bytes": 56003,
-      "rows": 5,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/numina-001419-0000-3ab6ecf722577c69.parquet",
-      "sha256": "3ab6ecf722577c69e07481cb79ce85a440fe32e7e799d7ae864eda9209c393e2",
-      "bytes": 243804,
-      "rows": 39,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:322aaa3d-ff6c-536e-91ca-54f93d028a19",
     "numina:7580a01f-ddbf-5556-a2dd-2baa756505d6",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007097.lean\",\"8c71332ef37b926eadc0c6a3f928760ec667dae0e978a718f92a25a89457a527\",0,\"algebra_9018\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007098.lean\",\"056ab412c62a9734abee26ee1b3d24caa1399ef7a939884bbd7ee91c155ad085\",0,\"algebra_96012\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007099.lean\",\"26f5bc5d944f54e6e8703762f14d3d5f39d4fda65eda80fb51a30227996ba3a6\",0,\"inequalities_260266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 474872,
+      "path": "data/train/pf4/numina-001419-0000-b8afe63608a84f53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b8afe63608a84f539898efb7add028c90f334b610f66f74637a700f2314af295"
+    },
+    {
+      "bytes": 56003,
+      "path": "data/dev/pf4/numina-001419-0000-b243adcb5fdccc51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b243adcb5fdccc512906024c38dd3fdb982597587a7ef5dfec795ccfa8c21b60"
+    },
+    {
+      "bytes": 243804,
+      "path": "data/internal_test/pf4/numina-001419-0000-3ab6ecf722577c69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "3ab6ecf722577c69e07481cb79ce85a440fe32e7e799d7ae864eda9209c393e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001420.json b/manifests/batches/numina/001420.json
index 548046aa40efbe32720cef8c946f028ddf91ae6c..8b82be0fae6bdde769afb44a68be936bd1d9f526 100644
--- a/manifests/batches/numina/001420.json
+++ b/manifests/batches/numina/001420.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001420",
   "batch_fingerprint": "bfd8e9470774354b531c9bc9cf661aebb9f8afd866d84b464a6325416958a14a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001420-0000-92907b3fef31b256.parquet",
-      "sha256": "92907b3fef31b256561089edf847499bf40977e64c2fb01a24508571114c471d",
-      "bytes": 688695,
-      "rows": 47,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3844f684-9d5d-568d-a0dc-0c9bb9f0ab8b",
     "numina:8ab9bb28-849b-5dc1-b9f7-011129316478",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007102.lean\",\"0b7ac303dec18510bb7aa8893209fa5bfd5f766c944129c912560e520231a77a\",0,\"calculus_137220\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007103.lean\",\"d005e89897d0b1da1a3c9e7bb4b70637452326c65fec8b7eefcc7ba6e2ca94ae\",0,\"algebra_9053\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007104.lean\",\"b3593dd4e93b7e9270919bb2e7375a78bde22ef59e3087ec1ef99892c48fd6d0\",0,\"algebra_96016\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 688695,
+      "path": "data/train/pd3/numina-001420-0000-92907b3fef31b256.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "92907b3fef31b256561089edf847499bf40977e64c2fb01a24508571114c471d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001421.json b/manifests/batches/numina/001421.json
index c86b38a97647ee024e9a084b10378563371f5912..5291433a328851aa833ac9c3d4569e1d3b971528 100644
--- a/manifests/batches/numina/001421.json
+++ b/manifests/batches/numina/001421.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001421",
   "batch_fingerprint": "caa11b89554ba242b11a521faf71577efd36960cadb413f80dda4b298107dbfd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001421-0000-0005b40e59e5d8b1.parquet",
-      "sha256": "0005b40e59e5d8b1aac31b6138b6a4d4161c1aa24e22fe49d3bc1d0159f89879",
-      "bytes": 561253,
-      "rows": 53,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:35f4411e-6aa2-5b0f-b5de-e5c8fabbb9f9",
     "numina:649ec1cf-dbc6-5520-97b3-459c8966bc43",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007107.lean\",\"7580e32036980c0af75914ba8158706a2c2c354aa174d2dbe3e5a592dfbda3b4\",0,\"algebra_25522\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007108.lean\",\"5b9542a4f24e550e30d2df899c51361f49b9e8f6bbbb8495284525e481e10530\",0,\"number_theory_611371\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007109.lean\",\"9a6010de139c04382ca07894d1d4ad56613d5e3185ba3f04842bb38bc4b22fd9\",0,\"algebra_9056\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 561253,
+      "path": "data/train/pb7/numina-001421-0000-0005b40e59e5d8b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "0005b40e59e5d8b1aac31b6138b6a4d4161c1aa24e22fe49d3bc1d0159f89879"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001422.json b/manifests/batches/numina/001422.json
index aafb36e8e08267b643d3ec5a1918565389b7b71e..7e4221493b6f7e4c5ffd03d71655da7cfd154f08 100644
--- a/manifests/batches/numina/001422.json
+++ b/manifests/batches/numina/001422.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001422",
   "batch_fingerprint": "fb57be54a487a76b40f3e60870bf8020925d7c97c2b72e73ea3d2d9c682d7c0c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001422-0000-47dcb46709e2f7fb.parquet",
-      "sha256": "47dcb46709e2f7fbcf8982fe062d95a4acaa0617befa91ff8b682ffaa4761d9d",
-      "bytes": 213003,
-      "rows": 26,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/dev/numina-001422-0000-7422fe84fa0d7e7f.parquet",
-      "sha256": "7422fe84fa0d7e7f61caf0d94b794248dead08f9f5bc911125b31b9df8f35423",
-      "bytes": 52556,
-      "rows": 4,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/internal_test/numina-001422-0000-215bf10cc7fdd0c4.parquet",
-      "sha256": "215bf10cc7fdd0c4e5b61b4b55309159b1bd881f4cda930bbd98ee22e3acda54",
-      "bytes": 46251,
-      "rows": 3,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:497ac301-05ba-5594-a7ce-7ec5c1f94b49",
     "numina:6e7ea283-a58d-5d07-9087-4b50bf221948",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007112.lean\",\"74c81f73a9f270c0c410cbb062ff8439b621e1e605ead6137605307c9cee5632\",0,\"algebra_21538\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007113.lean\",\"0d4b6f91ab4e99924f84d36d9b6779927d19a011651af1e3eaf5c0491ec22143\",0,\"number_theory_610204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007114.lean\",\"a97c1c1afe9bdce5c65a99e6b70477575769c7bb544382e9857bbfa179ea0e50\",0,\"algebra_19758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213003,
+      "path": "data/train/p4f/numina-001422-0000-47dcb46709e2f7fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "47dcb46709e2f7fbcf8982fe062d95a4acaa0617befa91ff8b682ffaa4761d9d"
+    },
+    {
+      "bytes": 52556,
+      "path": "data/dev/p4f/numina-001422-0000-7422fe84fa0d7e7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7422fe84fa0d7e7f61caf0d94b794248dead08f9f5bc911125b31b9df8f35423"
+    },
+    {
+      "bytes": 46251,
+      "path": "data/internal_test/p4f/numina-001422-0000-215bf10cc7fdd0c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "215bf10cc7fdd0c4e5b61b4b55309159b1bd881f4cda930bbd98ee22e3acda54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001423.json b/manifests/batches/numina/001423.json
index 4135bc225d33a4f8e623fbdf54e3c28a365b37ff..af55abd6f4164f31b60060599ab084c722ea29cc 100644
--- a/manifests/batches/numina/001423.json
+++ b/manifests/batches/numina/001423.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001423",
   "batch_fingerprint": "2d8a8d86dcbe815196bbc5c402ec514f73841696ec385f6d31917e76c0cf6048",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001423-0000-f0aca77096f0a4fa.parquet",
-      "sha256": "f0aca77096f0a4fae014aeb125684ba9961e07760d8b7d7bf32a1725bb00a1cb",
-      "bytes": 770324,
-      "rows": 46,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ac57152-bb33-5b5b-a671-1a923d9583d0",
     "numina:4140d9cb-ab91-5451-b031-4348feb21579",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007117.lean\",\"09cc5bd58397b0957ae86e35c9463abbb69a0b5fc17aa964a7f1ca5084d98cb9\",0,\"number_theory_137238\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007118.lean\",\"f051327cd33d1c145e126e625222d05150633fec9c6ed228dd9bf57cc2b6d0ed\",0,\"algebra_9057\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007119.lean\",\"d3c93039f650acc85707b524d94f18f489a012b0b439100c10309c4b8eefab12\",0,\"algebra_96035\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 770324,
+      "path": "data/train/p52/numina-001423-0000-f0aca77096f0a4fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "f0aca77096f0a4fae014aeb125684ba9961e07760d8b7d7bf32a1725bb00a1cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001424.json b/manifests/batches/numina/001424.json
index 96756311d74b4c25080741e8bfb65a5316ac94d7..eed78c0273bb71662d4ae329aa1b3e7f0e4eabe0 100644
--- a/manifests/batches/numina/001424.json
+++ b/manifests/batches/numina/001424.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001424",
   "batch_fingerprint": "a1c1c24d9f471497ac8ba7b6a21f2fb0b1b62e1d6d70a377ccde42df95f5c142",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001424-0000-02b3746a9ff795a9.parquet",
-      "sha256": "02b3746a9ff795a92777bcce9873fa6594b1c02be86f63c0aea8fea40064aceb",
-      "bytes": 631753,
-      "rows": 19,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/train/numina-001424-0001-852469931053fbee.parquet",
-      "sha256": "852469931053fbee4f19964ccc6c6f6bbcd47c4565863116709aa03d613082f4",
-      "bytes": 185630,
-      "rows": 4,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    },
-    {
-      "path": "data/internal_test/numina-001424-0000-33c48053838729fc.parquet",
-      "sha256": "33c48053838729fcd3a7e7193ac4fd5601bebc542e32e5b08a6e13a16e306997",
-      "bytes": 34653,
-      "rows": 2,
-      "revision": "635c864f26037d6e2589fd130325624036a7688e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08062338-78d6-5ee7-8564-21769a4188eb",
     "numina:14df818a-8e21-568d-9943-c6e3c8d4d5f8",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007122.lean\",\"9817d5cf6f869409b5067542ced2f248a71697b7037effeb223b97830681c315\",0,\"algebra_21542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007123.lean\",\"2031dcf6b30492b47b18d3f5272eb83dcd51167d6f3668cbe7dbdf2af17aebd8\",0,\"algebra_610208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007124.lean\",\"92487abbc34c5357faabcc5091a4905da18ade4ec4a7d067f2dfe8b03282a129\",0,\"inequalities_25678\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 631753,
+      "path": "data/train/pd1/numina-001424-0000-02b3746a9ff795a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "02b3746a9ff795a92777bcce9873fa6594b1c02be86f63c0aea8fea40064aceb"
+    },
+    {
+      "bytes": 185630,
+      "path": "data/train/pd1/numina-001424-0001-852469931053fbee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "852469931053fbee4f19964ccc6c6f6bbcd47c4565863116709aa03d613082f4"
+    },
+    {
+      "bytes": 34653,
+      "path": "data/internal_test/pd1/numina-001424-0000-33c48053838729fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "33c48053838729fcd3a7e7193ac4fd5601bebc542e32e5b08a6e13a16e306997"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001425.json b/manifests/batches/numina/001425.json
index b70ce2a6824ffaf5eb2c0b0b9a44d4a60e2b80c4..7c0cce52b98a2660bf2f18bc63b682fd558f0e14 100644
--- a/manifests/batches/numina/001425.json
+++ b/manifests/batches/numina/001425.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001425",
   "batch_fingerprint": "6ea68fdb8cd95af6bad1469bf250b6c1671d8da9e74b292213dd6964520fddd3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001425-0000-195840c4d5712c6d.parquet",
-      "sha256": "195840c4d5712c6dff30b2509678fa6bbd1b913a69b4cd6007fafdfc85235c29",
-      "bytes": 356564,
-      "rows": 47,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    },
-    {
-      "path": "data/dev/numina-001425-0000-6a131c0620efceae.parquet",
-      "sha256": "6a131c0620efceaeb9113b03fbf999d03ed304ba7fe859ddd11dfc91201f6b55",
-      "bytes": 42958,
-      "rows": 3,
-      "revision": "d5839e062c3639484399d7c78ec625437c983df2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2485e288-fc83-5b04-980d-5a9d2dba83d5",
     "numina:7105ed19-a9e2-5b04-8f33-cc5065a3f927",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007127.lean\",\"3a32bfe4a41a617d4b8682123787f08dc89c79f921e93d23e76d7da5c65c7d1c\",0,\"algebra_96696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007128.lean\",\"fcbf106da5c511de661510dcfe81cf01b8d32f51f941195476d7200bf5f25c09\",0,\"algebra_21543\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007129.lean\",\"a4eca7050856ca821d4fc735287b358dabf7827fe201f46b9865752acfcf6582\",0,\"inequalities_258473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356564,
+      "path": "data/train/pba/numina-001425-0000-195840c4d5712c6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "195840c4d5712c6dff30b2509678fa6bbd1b913a69b4cd6007fafdfc85235c29"
+    },
+    {
+      "bytes": 42958,
+      "path": "data/dev/pba/numina-001425-0000-6a131c0620efceae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6a131c0620efceaeb9113b03fbf999d03ed304ba7fe859ddd11dfc91201f6b55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001426.json b/manifests/batches/numina/001426.json
index a0b9a0ea348ad388a9dff5d75a7f060df6b8e3b1..658b3733a9edf3cec4044a18b094b0f756010404 100644
--- a/manifests/batches/numina/001426.json
+++ b/manifests/batches/numina/001426.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001426",
   "batch_fingerprint": "55600603cab838f3b4f17cc50b631abd9a710068689a50bfeda3793322345d8d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001426-0000-504b79e5e228ac62.parquet",
-      "sha256": "504b79e5e228ac621e22deaf796787e57a90b012189ca977dbe68d9977250079",
-      "bytes": 144921,
-      "rows": 13,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001426-0000-0d6a01ec87d17d12.parquet",
-      "sha256": "0d6a01ec87d17d120605a5c9137401b82eecfb21cb5cf205ba31d47eb869436e",
-      "bytes": 600245,
-      "rows": 3,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7fe0d894-606f-5a72-b3b1-fb943ad8f440",
     "numina:95098642-56e5-527e-83f6-83c67df69954",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007132.lean\",\"73071227bb42e3bc21284d7f34f1458d96ad78250f17d3be49df357347d46a13\",0,\"inequalities_137418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007133.lean\",\"05223d9da0fc1d0b9107de66b72b8cd7e1ccf9fabafa10513ce2d98fb2d022c5\",0,\"algebra_166621\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007134.lean\",\"af557aee10c9dec680be072504f7c4f6e7f349d074968500bd45ca35efbb196d\",0,\"number_theory_96705\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144921,
+      "path": "data/train/p4d/numina-001426-0000-504b79e5e228ac62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "504b79e5e228ac621e22deaf796787e57a90b012189ca977dbe68d9977250079"
+    },
+    {
+      "bytes": 600245,
+      "path": "data/internal_test/p4d/numina-001426-0000-0d6a01ec87d17d12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0d6a01ec87d17d120605a5c9137401b82eecfb21cb5cf205ba31d47eb869436e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001427.json b/manifests/batches/numina/001427.json
index b57f1f49cc255a85f2a6f2b1e529b75e175c454d..6a13ea500321d7ae42392e01659268cbcbbebf63 100644
--- a/manifests/batches/numina/001427.json
+++ b/manifests/batches/numina/001427.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001427",
   "batch_fingerprint": "8150852ac3793ae4d131e474f98fbcefbae7fc2ec0ad50699fd83656ff853ec5",
   "evidence": {
@@ -50,22 +49,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001427-0000-45f17c77a9abe748.parquet",
-      "sha256": "45f17c77a9abe748feac53b9e3dbfddedb46c74338bd10b3acefef518c443c0b",
-      "bytes": 112339,
-      "rows": 18,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/dev/numina-001427-0000-555d796ee97f0740.parquet",
-      "sha256": "555d796ee97f074098ac950cc70633818d5581b6574977d62433fbe9597b0033",
-      "bytes": 76948,
-      "rows": 3,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:99a6edea-0cb4-510b-92a1-f14af5d022fc",
     "numina:c0c7a36e-0edf-59f7-8994-ff4b1a001a83",
@@ -77,5 +61,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007136.lean\",\"fa3d00dab009064e4e0af100f5a34f5d47b1d62f5cd983f9468396cd6096c890\",0,\"algebra_21499\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007137.lean\",\"172e9aa61758fc82ca7f30c83bedec2d59bfdae5d08f55c1df018d5ae957e564\",0,\"inequalities_604925\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007139.lean\",\"f5fcd69de486a1e5ad5d2bfdc15f841c7f191f346ef1e101605813a7f49cefee\",0,\"inequalities_623016\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112339,
+      "path": "data/train/p60/numina-001427-0000-45f17c77a9abe748.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "45f17c77a9abe748feac53b9e3dbfddedb46c74338bd10b3acefef518c443c0b"
+    },
+    {
+      "bytes": 76948,
+      "path": "data/dev/p60/numina-001427-0000-555d796ee97f0740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "555d796ee97f074098ac950cc70633818d5581b6574977d62433fbe9597b0033"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001428.json b/manifests/batches/numina/001428.json
index 17a4d9026ce60b373efd0ee5420e1e342efb510f..755f94ce612a8b8463669c1bd016bebb10e89b84 100644
--- a/manifests/batches/numina/001428.json
+++ b/manifests/batches/numina/001428.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001428",
   "batch_fingerprint": "da7cdb19e2c1641036a0fd15066de3b00009e6c2d42961124129ed54455da996",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001428-0000-7239247474010c04.parquet",
-      "sha256": "7239247474010c041b76a3694be866618e8c510097570011ca34fb16799863cb",
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-      "rows": 29,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001428-0000-c470c5615a5edf79.parquet",
-      "sha256": "c470c5615a5edf79141bfe1504a3295187acd17b990be18bc14818ecb257d325",
-      "bytes": 49625,
-      "rows": 3,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f421760-6b27-5b60-92d8-1922254dca24",
     "numina:47c28704-506b-5bf9-b5e3-570cf5205497",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007142.lean\",\"92f9c7635c5b3e7830f0118f0ae6af876dd62645c340ee091b6b3f649c6fdcda\",0,\"algebra_96923\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007143.lean\",\"7ae6cbba01d9483e8755370f65883c5de46d4a1329e053ca95d417ae9c223793\",0,\"algebra_296944\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007144.lean\",\"75d5889df1e85de86ed9c94b0a06aa0d7e7fb7b60fa1c178d6f46c64c045bbc3\",0,\"inequalities_605069\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287771,
+      "path": "data/train/p3c/numina-001428-0000-7239247474010c04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "7239247474010c041b76a3694be866618e8c510097570011ca34fb16799863cb"
+    },
+    {
+      "bytes": 49625,
+      "path": "data/internal_test/p3c/numina-001428-0000-c470c5615a5edf79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c470c5615a5edf79141bfe1504a3295187acd17b990be18bc14818ecb257d325"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001429.json b/manifests/batches/numina/001429.json
index 4ec7a9a89def5707f95e0023d3155c8bc23dfa8a..2e8d77f987a7f2e8176c31d5bbdf195db338ea3e 100644
--- a/manifests/batches/numina/001429.json
+++ b/manifests/batches/numina/001429.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001429",
   "batch_fingerprint": "0c2e3ca1f9a0d49aacac8ea71e2a06a946d9d6e3a8240baf50a6528436e099e0",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001429-0000-a66ff6d8d8b8d50f.parquet",
-      "sha256": "a66ff6d8d8b8d50fa672f5b6406fa134607bb77fa84f96e4610586df6a624f72",
-      "bytes": 195327,
-      "rows": 20,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02f18045-4cb7-5510-8b2e-9ed21aeb3e0d",
     "numina:86914820-081d-539f-868d-6fddc5642c89",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007147.lean\",\"3759680e057eb07e1a9fb37fa06e4087bbaa07f59c3f0f62524f080a87677b80\",0,\"algebra_9144\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007148.lean\",\"d20d1028a04fc0ad5af6f950465f72917aa83ea5aa6bb2c115e5cf21cfb99cae\",0,\"algebra_21504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007149.lean\",\"f7386337fc7817e2ec65abab7ff2d7424834f0c1e9dd186856e33d4dfe50da20\",0,\"algebra_12907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195327,
+      "path": "data/train/p66/numina-001429-0000-a66ff6d8d8b8d50f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a66ff6d8d8b8d50fa672f5b6406fa134607bb77fa84f96e4610586df6a624f72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001430.json b/manifests/batches/numina/001430.json
index 6af45086d426c44ae5089ac32e199c928d92fc64..4a615811c6efa6c2f72dd73ad6d710b154aa49cd 100644
--- a/manifests/batches/numina/001430.json
+++ b/manifests/batches/numina/001430.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001430",
   "batch_fingerprint": "3358970b051818607066535d3a4e04f052279a0cf8fe7cc8b8af21e02202bc2b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001430-0000-1f9cacefdf063634.parquet",
-      "sha256": "1f9cacefdf06363455050181aafb89c8d0b724e29a62f75af192fef3adeba7ef",
-      "bytes": 241050,
-      "rows": 26,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001430-0000-5bd3737da33160c1.parquet",
-      "sha256": "5bd3737da33160c1d7662495996839f2ad47569f171d16029ee0fc34ca38a3cc",
-      "bytes": 62047,
-      "rows": 10,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16b9baf3-5bf2-5599-9f6b-5c5dc6ca566f",
     "numina:1a87e145-3743-5c23-b4a1-d9a3d5903873",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007152.lean\",\"a4c38ff9da3ea21cd04859b9e375d732e55ba267df5412b9d249315520ffcf1f\",0,\"number_theory_32185\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007153.lean\",\"74b0b62398cf3b58de3b6fd13f15afd5d06beb1647fcd303b7e0d052857d9601\",0,\"algebra_13790\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007154.lean\",\"c097cb7f8f6ccd9f85294276651ccab38826274d9df49647f2eb1ce8def9df8e\",0,\"inequalities_202989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241050,
+      "path": "data/train/p89/numina-001430-0000-1f9cacefdf063634.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1f9cacefdf06363455050181aafb89c8d0b724e29a62f75af192fef3adeba7ef"
+    },
+    {
+      "bytes": 62047,
+      "path": "data/internal_test/p89/numina-001430-0000-5bd3737da33160c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5bd3737da33160c1d7662495996839f2ad47569f171d16029ee0fc34ca38a3cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001431.json b/manifests/batches/numina/001431.json
index 3874192752ed76830fc9fd6c89aa11d76b3a446f..757bef3f8ca21aaed293720b9ed1ed6d3d9b5432 100644
--- a/manifests/batches/numina/001431.json
+++ b/manifests/batches/numina/001431.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001431",
   "batch_fingerprint": "2b95683d0d7cf0e99ded82d288d5481cfaa43a148019839f4644c8ca29196222",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001431-0000-bd8a8543ba667304.parquet",
-      "sha256": "bd8a8543ba667304f0070670016b20cf926e13ec4292319bb8ff9bbc9f119655",
-      "bytes": 169546,
-      "rows": 16,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/dev/numina-001431-0000-7271fd624ba6735a.parquet",
-      "sha256": "7271fd624ba6735a54e3211d5c5e33450075182ed75ee4b95279943bae51eef0",
-      "bytes": 120378,
-      "rows": 22,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10bd73b4-881c-5812-8476-3cfbdced04a5",
     "numina:9216aca3-7ce4-5ada-9a1a-6095e10a01fb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007157.lean\",\"815a4065414e5eeda28ee4a8f007d003877e3b3ac2d7b46584786194f3b2a0c6\",0,\"number_theory_258524\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007158.lean\",\"37a5ed1cc44ed580bf70c4c8e9974f9d857b147dc53c10d0d3fe11b4f2842c11\",0,\"number_theory_607233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007159.lean\",\"04a280405d3df5da7b9c5f22228684fc20745c5c4651472f413c28bc09cde7ae\",0,\"algebra_94395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169546,
+      "path": "data/train/p65/numina-001431-0000-bd8a8543ba667304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bd8a8543ba667304f0070670016b20cf926e13ec4292319bb8ff9bbc9f119655"
+    },
+    {
+      "bytes": 120378,
+      "path": "data/dev/p65/numina-001431-0000-7271fd624ba6735a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7271fd624ba6735a54e3211d5c5e33450075182ed75ee4b95279943bae51eef0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001432.json b/manifests/batches/numina/001432.json
index caee95baca6285cdc4c8cdd785a99dcb4c1554a3..f9040aae837349c876df8cf570233439ec6d21fa 100644
--- a/manifests/batches/numina/001432.json
+++ b/manifests/batches/numina/001432.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001432",
   "batch_fingerprint": "ba18a37abc15d0a89978e7bd72f6d022a05630e0de3d85c3a9eafac3fe4639a6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001432-0000-51df6f7c40d54a70.parquet",
-      "sha256": "51df6f7c40d54a70485df3a3a091fa8d4ad5b7ce0fe1cea7ee82f981dfb9288a",
-      "bytes": 259073,
-      "rows": 34,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001432-0000-24133952efbafe62.parquet",
-      "sha256": "24133952efbafe62328ca0cc78863045fc5e6fdb2fbee07353d1abd5e3e2217c",
-      "bytes": 179242,
-      "rows": 2,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:067385e0-61eb-50c7-a516-87d24462666d",
     "numina:1f6f597a-b94f-5205-a5a8-9ce3dd461c62",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007162.lean\",\"4429186ed1dae18f0a09b6ff7319b093e0855a41acc6b9f6b3ca887f8190b72b\",0,\"number_theory_709\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007163.lean\",\"cffe1ed7ee7706202b0fc4e30c69a947e7c4ae56f64fc977768de21f1e3fbb81\",0,\"algebra_203168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007164.lean\",\"9fa3730a878710cdd20122800ac6eb3b12dc15d103b6407f37d92bdd671f6ec5\",0,\"algebra_935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259073,
+      "path": "data/train/pd2/numina-001432-0000-51df6f7c40d54a70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "51df6f7c40d54a70485df3a3a091fa8d4ad5b7ce0fe1cea7ee82f981dfb9288a"
+    },
+    {
+      "bytes": 179242,
+      "path": "data/internal_test/pd2/numina-001432-0000-24133952efbafe62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "24133952efbafe62328ca0cc78863045fc5e6fdb2fbee07353d1abd5e3e2217c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001433.json b/manifests/batches/numina/001433.json
index ba3491267ceef925331794bf4be14d4c0b3b69eb..571256108d43b732a402fa22824100f4981864c3 100644
--- a/manifests/batches/numina/001433.json
+++ b/manifests/batches/numina/001433.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001433",
   "batch_fingerprint": "9f3f2f916f93f77c881a767d492def9ab4d4f7e249e5f2f836aab403e34aacc9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001433-0000-042248b85b164f19.parquet",
-      "sha256": "042248b85b164f19c25077881f824a998dc8348ebcf32660aa8923e725114404",
-      "bytes": 248635,
-      "rows": 29,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26a07f50-74a2-57c6-afd0-b9ef9869c294",
     "numina:a3bb836b-8b77-5c14-aa41-da1f954fb4aa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007167.lean\",\"ca3aa1469d12c30cd438e17242dab349b3029d942356bd4bdc51baa19ec10974\",0,\"algebra_9119\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007168.lean\",\"edc8384a97180c1a3ff940e65ca754d400254eac0d73d02c4e4e4ace05875982\",0,\"number_theory_604212\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007169.lean\",\"224468efa821e8227a1fe3c250247c2d8f32eb052b5a40547b325efbeb48f895\",0,\"algebra_607898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248635,
+      "path": "data/train/pa6/numina-001433-0000-042248b85b164f19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "042248b85b164f19c25077881f824a998dc8348ebcf32660aa8923e725114404"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001434.json b/manifests/batches/numina/001434.json
index 3ca9ddf1cbdaee7825fc765cc16aec667cb863ef..99762b99bfcdc64db3e76614766cb11d1a07ade1 100644
--- a/manifests/batches/numina/001434.json
+++ b/manifests/batches/numina/001434.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001434",
   "batch_fingerprint": "5b1b19600fae15339400546bad4d316f32c77f46a6643794028596b4dad222fb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001434-0000-4366fde90d652fed.parquet",
-      "sha256": "4366fde90d652fedf1b0ec075a37cdedec6cae08cf572301d5580cd724153302",
-      "bytes": 575136,
-      "rows": 33,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001434-0000-fc42c3aa7948ba13.parquet",
-      "sha256": "fc42c3aa7948ba1366dfc17ce7b33cf8880d8db6fe8a77baffa685a66b8da6c8",
-      "bytes": 39881,
-      "rows": 4,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1530bf95-f7eb-54a0-b4ed-941baeeae622",
     "numina:2fadaf57-87f0-5cb5-b81d-984e02b8e7a8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007172.lean\",\"7ccef3c234105695d9ab1a9234984be5fe3ee830c103ae4e90ea4331e3193277\",0,\"number_theory_604213\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007174.lean\",\"cf85036cf23d6905f26c0c47c9c2dfbf4de678ccd320bc5da894e4b40108b923\",0,\"algebra_98011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 575136,
+      "path": "data/train/p9a/numina-001434-0000-4366fde90d652fed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4366fde90d652fedf1b0ec075a37cdedec6cae08cf572301d5580cd724153302"
+    },
+    {
+      "bytes": 39881,
+      "path": "data/internal_test/p9a/numina-001434-0000-fc42c3aa7948ba13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fc42c3aa7948ba1366dfc17ce7b33cf8880d8db6fe8a77baffa685a66b8da6c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001435.json b/manifests/batches/numina/001435.json
index d7b0f2abbb12e43673c2b3de18761d1a4d678e30..211af6256571bf49831497684f1d46d807cd57f3 100644
--- a/manifests/batches/numina/001435.json
+++ b/manifests/batches/numina/001435.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001435",
   "batch_fingerprint": "693c88b883967da9d28e98a3d62b124cc2f345683dbed812b48c80c7cfeeecde",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001435-0000-6b5d2e7805562e41.parquet",
-      "sha256": "6b5d2e7805562e41076f46e5a76e84faf3de356369539f5d9b2494a98fac9940",
-      "bytes": 372541,
-      "rows": 33,
-      "revision": "63fd596fc722543ecc37bc6c2d4902c18d3424ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:210eaba6-c82b-5b46-b920-ca170dff0dc7",
     "numina:56fe714b-23c1-5aa8-abce-31f0df00b3e4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007177.lean\",\"429687f0fa68d869ccb36fddc553e296bd063be79ad1336281b7b6ac8cce1130\",0,\"algebra_9207\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007178.lean\",\"0f4f17064519b1949a2fd2675039d4a01f8df7bc743cfda4bb8ddfbb1d9603d6\",0,\"number_theory_48566\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007179.lean\",\"b1ec8d35556219ade5b75bd74ea424ebca8b5aa81948fbe2796ee450acc0ea9c\",0,\"algebra_231729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372541,
+      "path": "data/train/p20/numina-001435-0000-6b5d2e7805562e41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "6b5d2e7805562e41076f46e5a76e84faf3de356369539f5d9b2494a98fac9940"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001436.json b/manifests/batches/numina/001436.json
index 879103871f42d3dd6a94e5bf4a2b3a53f7d636f8..c80ea35d736c93e611a458e01c5182813ba287a9 100644
--- a/manifests/batches/numina/001436.json
+++ b/manifests/batches/numina/001436.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001436",
   "batch_fingerprint": "a45d97174b8ff633138a57171432588eb2a1c488e16bfbdc0f741a7436094f67",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001436-0000-14bfe9beb1efe23a.parquet",
-      "sha256": "14bfe9beb1efe23a76d28a3a700f5436b9e6f9014604ea142b27839034c1495d",
-      "bytes": 640947,
-      "rows": 24,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/dev/numina-001436-0000-8588fc2c22a3d0be.parquet",
-      "sha256": "8588fc2c22a3d0beea9f05d43f649d0bb2c19fb51f10b0af6f01918ced08fee6",
-      "bytes": 23567,
-      "rows": 1,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    },
-    {
-      "path": "data/internal_test/numina-001436-0000-a11aa315663068d5.parquet",
-      "sha256": "a11aa315663068d504ce3a85a384abc1ab011941a82557a2420e124dce6111f8",
-      "bytes": 53330,
-      "rows": 5,
-      "revision": "4c50b3d576bded7e642f3be5ccf382d5be2f6868"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b319a0b-f546-5a2a-9ace-8685ef9e2c95",
     "numina:187c2515-5873-51b6-a07a-50cf8128c5bc",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007182.lean\",\"d25c19bd21c3e6db1731e602013314aca13e913d4346e7bf44a7a58f4455bac6\",0,\"number_theory_604407\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007183.lean\",\"b1621f0273f63b253218854bec295d20f491e8acdb8973d9edaec8958cb0c7d0\",0,\"algebra_9210\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007184.lean\",\"11234c7172cd1052589509643da2f907fdfb5d2116b6de8facfd8bbdc91d97dd\",0,\"number_theory_607523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 640947,
+      "path": "data/train/p70/numina-001436-0000-14bfe9beb1efe23a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "14bfe9beb1efe23a76d28a3a700f5436b9e6f9014604ea142b27839034c1495d"
+    },
+    {
+      "bytes": 23567,
+      "path": "data/dev/p70/numina-001436-0000-8588fc2c22a3d0be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "8588fc2c22a3d0beea9f05d43f649d0bb2c19fb51f10b0af6f01918ced08fee6"
+    },
+    {
+      "bytes": 53330,
+      "path": "data/internal_test/p70/numina-001436-0000-a11aa315663068d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a11aa315663068d504ce3a85a384abc1ab011941a82557a2420e124dce6111f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001437.json b/manifests/batches/numina/001437.json
index 1061e6af7f41de7a07ab439740c77d19f2198edf..6152b5a82537c1d2b9c7e36a24c0092065d0bb5d 100644
--- a/manifests/batches/numina/001437.json
+++ b/manifests/batches/numina/001437.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001437",
   "batch_fingerprint": "0b1dfb8d865347f35498145405cb956edaee2e04dab43c9cb8ce673040853ba1",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001437-0000-04e9b008a7f710c3.parquet",
-      "sha256": "04e9b008a7f710c3c3ee45e1d02851a8652f56a4649b1979873bfeab86856e45",
-      "bytes": 649426,
-      "rows": 43,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/train/numina-001437-0001-67840cf22809c6ed.parquet",
-      "sha256": "67840cf22809c6ed7cd9d1fe3571a35c9c245d62633649df8ee2b0b94b27739a",
-      "bytes": 115806,
-      "rows": 13,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/dev/numina-001437-0000-7a269b5b2b23b3f8.parquet",
-      "sha256": "7a269b5b2b23b3f8e619d67135927e91c73e18a53c6cfe2c965501353fbab9af",
-      "bytes": 58249,
-      "rows": 4,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d8c3d03-d925-5c09-af22-9799cd2e5e0e",
     "numina:681dae88-8229-5f0a-8fd3-8b48c08451cf",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007187.lean\",\"e62f702881579a51f0f8f2f6435386cf589db8939c37c395280d2df690e03200\",0,\"AIME_Algebra_13680\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007188.lean\",\"07f8f5880c3748802f01c4be049f3f5e6537eee2aade30bdd5c934591bcb0d38\",0,\"algebra_9214\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007189.lean\",\"cf729c41fa72d1fe734d719b505b0c60d2153c76bf9d34a6d64cf0ab459725b8\",0,\"algebra_98359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649426,
+      "path": "data/train/pf2/numina-001437-0000-04e9b008a7f710c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "04e9b008a7f710c3c3ee45e1d02851a8652f56a4649b1979873bfeab86856e45"
+    },
+    {
+      "bytes": 115806,
+      "path": "data/train/pf2/numina-001437-0001-67840cf22809c6ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "67840cf22809c6ed7cd9d1fe3571a35c9c245d62633649df8ee2b0b94b27739a"
+    },
+    {
+      "bytes": 58249,
+      "path": "data/dev/pf2/numina-001437-0000-7a269b5b2b23b3f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7a269b5b2b23b3f8e619d67135927e91c73e18a53c6cfe2c965501353fbab9af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001438.json b/manifests/batches/numina/001438.json
index f654e49d1c01ca5cde8a1a08ce24ed8324fdea77..e8588bb1c234db4e7066d914833f82da852daec6 100644
--- a/manifests/batches/numina/001438.json
+++ b/manifests/batches/numina/001438.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001438",
   "batch_fingerprint": "c51caeb56415467261c85b217f4b4f19e51a08e75a6f3f695ba297f9af51fca9",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001438-0000-e06eb24d2b0c88f7.parquet",
-      "sha256": "e06eb24d2b0c88f75cd3e00ee7d1936f37d7c9da2b36e08cb5be5e39fbbc073d",
-      "bytes": 119900,
-      "rows": 16,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/numina-001438-0000-efac61a405783ddd.parquet",
-      "sha256": "efac61a405783ddd1b38224cb7ec4cc161c0383259fa1b97af79274a35979447",
-      "bytes": 81134,
-      "rows": 3,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9104a005-ff18-55d7-9e7f-6a70d13c378e",
     "numina:a60d7255-fef8-536e-8b6b-ef8850656961",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007191.lean\",\"1bd904e08e6e3980b424fce5e9c0580763d5c2c8aa7b4caa53f83fb814bd8a48\",0,\"algebra_9188\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007192.lean\",\"5e419f9139eb3f1d1c50c7a88b49fe070868dbb428ce6f2e4e92496b5119b303\",0,\"number_theory_607564\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007194.lean\",\"be70eaa5eb791153b5df38b9dc4b43e1ccd58fa560c390e0250e6095cfd22634\",0,\"number_theory_81079\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119900,
+      "path": "data/train/p6e/numina-001438-0000-e06eb24d2b0c88f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e06eb24d2b0c88f75cd3e00ee7d1936f37d7c9da2b36e08cb5be5e39fbbc073d"
+    },
+    {
+      "bytes": 81134,
+      "path": "data/internal_test/p6e/numina-001438-0000-efac61a405783ddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "efac61a405783ddd1b38224cb7ec4cc161c0383259fa1b97af79274a35979447"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001439.json b/manifests/batches/numina/001439.json
index e70f05a4c57c899b62f85c2bdc1ca8d6673367c7..b309a2f9a3ce53b81331a5e829b9e79ee8ba7e68 100644
--- a/manifests/batches/numina/001439.json
+++ b/manifests/batches/numina/001439.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001439",
   "batch_fingerprint": "880d68725d73aa8663c7de28f0fcab03ce39862f265278dd2d6a2ee3454a6e71",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001439-0000-774e97aa4aac5a44.parquet",
-      "sha256": "774e97aa4aac5a449db0fd72f1ae23753496c1952e9102b8cc6f02c7698e8d01",
-      "bytes": 519590,
-      "rows": 23,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5df7dd97-ce82-5eab-b0b7-9585ff4405ca",
     "numina:90f69d82-272a-56bf-ae7b-deda86f07eaf",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007197.lean\",\"492c14193be55e106ba026865724a3c947f993d48ea299579bdd155b7ca18184\",0,\"algebra_98363\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007198.lean\",\"1de33d0bcfc9a8c28bcdc7203fb6a420a655fee27a81557a856aae3bff511a86\",0,\"number_theory_138252\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007199.lean\",\"6bc3407e6d0ba4d7af3f85fb0464d50807a2f267f45e62a8b525ff1e61782120\",0,\"algebra_629200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519590,
+      "path": "data/train/p08/numina-001439-0000-774e97aa4aac5a44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "774e97aa4aac5a449db0fd72f1ae23753496c1952e9102b8cc6f02c7698e8d01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001440.json b/manifests/batches/numina/001440.json
index b6017ad64fa8ac1d350054da1285a5fbd3dfc2ee..362714888a71fca6840b4b5f497f5e93da5f80c5 100644
--- a/manifests/batches/numina/001440.json
+++ b/manifests/batches/numina/001440.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001440",
   "batch_fingerprint": "c3fb3f5c33c894384fe0d1ccc624b0603e6bd7f75777db00ee2c970fdfb4796e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001440-0000-516f1c7cbbb7f102.parquet",
-      "sha256": "516f1c7cbbb7f1024c36540993bbcbb36617fe0928d078f0a4e37a639d718a12",
-      "bytes": 712201,
-      "rows": 42,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/train/numina-001440-0001-6b2a353f76499b9c.parquet",
-      "sha256": "6b2a353f76499b9cbf42baae880e0ea8e82a72188428c66013a6b833c917f00b",
-      "bytes": 44642,
-      "rows": 2,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:50d68342-be3e-5654-a97c-5436c378a90a",
     "numina:592b30d0-ecbf-5c40-9c7c-4db864f97998",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007202.lean\",\"3f1936780219388fe15de285001eb31dcff8b2b89ee05c19c9bc9d1abe8ca39f\",0,\"number_theory_604604\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007203.lean\",\"4061889ff347adeee22519807b5a2b5a809c7b9a36388abd22d71c11fc97a6a6\",0,\"algebra_608603\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007204.lean\",\"97eabfa444d91a9b7bd8cd9f85d597b20c859ee6f3218bdf3121e8b09dad5c4f\",0,\"algebra_9194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 712201,
+      "path": "data/train/p7f/numina-001440-0000-516f1c7cbbb7f102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "516f1c7cbbb7f1024c36540993bbcbb36617fe0928d078f0a4e37a639d718a12"
+    },
+    {
+      "bytes": 44642,
+      "path": "data/train/p7f/numina-001440-0001-6b2a353f76499b9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6b2a353f76499b9cbf42baae880e0ea8e82a72188428c66013a6b833c917f00b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001441.json b/manifests/batches/numina/001441.json
index fbd4ede54435d41cf2486da7dd97b97de0bc2807..fdb7ab094fdb244c03b99783782a7856bdfe0656 100644
--- a/manifests/batches/numina/001441.json
+++ b/manifests/batches/numina/001441.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001441",
   "batch_fingerprint": "27491c6d64c71d73efd15e2a3ff2b2f379e7edbd32f68ff4486f90b580d86ae0",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001441-0000-ca6225643072bbf3.parquet",
-      "sha256": "ca6225643072bbf3375b2c848145d8ac179430f977e6e46c3edf8ec6212d079a",
-      "bytes": 117961,
-      "rows": 7,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/numina-001441-0000-c1bdbbe93754588e.parquet",
-      "sha256": "c1bdbbe93754588e9fa79768c9dcf150c68b1c5ff8338434e263803857411dcb",
-      "bytes": 215696,
-      "rows": 39,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45469582-7e4a-570c-af76-81b0b1787e2b",
     "numina:9ad38378-d78e-5bc5-81b5-515fd54f65c8",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007206.lean\",\"bbfadc9637f486b87e301d90613fc0887fb07994a2f4e36cc8b898c9e137da1a\",0,\"calculus_15844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007207.lean\",\"f925e6aa79dd1987afcdd45caff52625348dd1985dc0795fd5162bfb5b46e891\",0,\"algebra_138404\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007209.lean\",\"0dcb794a5e81ae13f68871e594202f0d15d391232207d8b5eaf67a5f5f88a195\",0,\"algebra_608607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117961,
+      "path": "data/train/pb8/numina-001441-0000-ca6225643072bbf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ca6225643072bbf3375b2c848145d8ac179430f977e6e46c3edf8ec6212d079a"
+    },
+    {
+      "bytes": 215696,
+      "path": "data/internal_test/pb8/numina-001441-0000-c1bdbbe93754588e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "c1bdbbe93754588e9fa79768c9dcf150c68b1c5ff8338434e263803857411dcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001442.json b/manifests/batches/numina/001442.json
index 24a8a2010f006b3e5a778ef59132b7255c03a1a7..60ee21ab93e2d9e10e8c6558b168440fbc42eb3e 100644
--- a/manifests/batches/numina/001442.json
+++ b/manifests/batches/numina/001442.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001442",
   "batch_fingerprint": "8cf72e2ae84545f2b15c288a217f917681d3474e47c061f670095065ec66e8b7",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001442-0000-13b7c486f62d713f.parquet",
-      "sha256": "13b7c486f62d713f7de29845f1a1e73986d1d20d5b700f46776557945b7efa06",
-      "bytes": 332087,
-      "rows": 36,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/numina-001442-0000-23de33ca4e7ce45c.parquet",
-      "sha256": "23de33ca4e7ce45cf40baf2f8bd16eab268ecee226783835955adb5ac58d9dd2",
-      "bytes": 39579,
-      "rows": 8,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ae1b669-22ff-5d11-8ad3-0fff37bb00d4",
     "numina:2dec51aa-36ae-531b-98d8-0f63c9030917",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007212.lean\",\"aeec1e325b428dde2684c138cb27706cfd9023efc79968ede2b6406fd8e9b313\",0,\"algebra_4315\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007213.lean\",\"4e1ef2c25e2446188892d62e1aa07b1e52e2f463528ca75349cd469cd2ade0c6\",0,\"number_theory_629350\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007214.lean\",\"f3916b1fc9c6a0cf33906005dad470a10b8fbcf151235856e72d491cd143aaf0\",0,\"number_theory_216943\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332087,
+      "path": "data/train/pfd/numina-001442-0000-13b7c486f62d713f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "13b7c486f62d713f7de29845f1a1e73986d1d20d5b700f46776557945b7efa06"
+    },
+    {
+      "bytes": 39579,
+      "path": "data/internal_test/pfd/numina-001442-0000-23de33ca4e7ce45c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "23de33ca4e7ce45cf40baf2f8bd16eab268ecee226783835955adb5ac58d9dd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001443.json b/manifests/batches/numina/001443.json
index 945f1686c1090e522bb3d162a3c039547d7b71be..9767915e9feab2795d2db2a6d00247b0861f0c10 100644
--- a/manifests/batches/numina/001443.json
+++ b/manifests/batches/numina/001443.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001443",
   "batch_fingerprint": "714fdad7e2b17b83946baee9370a7a32e854f3242ef4201856e28bf8b52bd0ad",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001443-0000-d32f24aa29af5fc5.parquet",
-      "sha256": "d32f24aa29af5fc59d37192465dc57552e4c2dbc5148633eb6d69c2481e9df33",
-      "bytes": 553735,
-      "rows": 25,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/numina-001443-0000-b4760092bcc54504.parquet",
-      "sha256": "b4760092bcc545044d00e927708d62cba155b76ee12e203509f0cf2747626abb",
-      "bytes": 32667,
-      "rows": 2,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:045087bc-da43-55a6-9c62-035e8b970126",
     "numina:20da7b4c-36e5-5756-a920-437a98f290e4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007217.lean\",\"945a40913afe0a03f3394e7703c09891a6b87a0f6be16e3e1e470b879c2540bb\",0,\"algebra_278208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007218.lean\",\"f0b59ce1a5c9c6d3cd9b0d6bf31def55c18fa460334c565e68798795396a3f28\",0,\"algebra_610636\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007219.lean\",\"e8fe3658858b07134bd0f5edb6a4633cb3ddcaef1356cda4217890cf0aa840b5\",0,\"algebra_12695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 553735,
+      "path": "data/train/pf1/numina-001443-0000-d32f24aa29af5fc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d32f24aa29af5fc59d37192465dc57552e4c2dbc5148633eb6d69c2481e9df33"
+    },
+    {
+      "bytes": 32667,
+      "path": "data/internal_test/pf1/numina-001443-0000-b4760092bcc54504.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b4760092bcc545044d00e927708d62cba155b76ee12e203509f0cf2747626abb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001444.json b/manifests/batches/numina/001444.json
index 359a8ad7a598603ffc9679d39a1729a25c123137..092bf8e0d794c5b4348ebae4a7b778efae488eed 100644
--- a/manifests/batches/numina/001444.json
+++ b/manifests/batches/numina/001444.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001444",
   "batch_fingerprint": "02fb00debb13d6632b800886a76a25b922f12750040c11b9a1caf1905c3acee9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001444-0000-743e17eb48b62084.parquet",
-      "sha256": "743e17eb48b620844c67791b10424f88767c297ee7d39a96668e319481acafde",
-      "bytes": 513935,
-      "rows": 47,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/dev/numina-001444-0000-5d1970b877bdfd08.parquet",
-      "sha256": "5d1970b877bdfd087b7532ed556c86752dbe3d0edefbda0531c5f77c57a19d9f",
-      "bytes": 34503,
-      "rows": 1,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27cd4d4b-4260-568f-9eac-1755c938c709",
     "numina:64fd3cc9-b358-51f0-9b85-984926ef9155",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007222.lean\",\"b18b5a83a9f92338c6d66121bcccce2736f9003c27bb7f2e727b25ce901a9e8e\",0,\"number_theory_610639\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007223.lean\",\"0beed443ca1c3bd1c48bd3b72869ae0c6f8ee72e474b849ed6260fffd31bfea7\",0,\"inequalities_604423\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007224.lean\",\"384d94ad19e163d9966d2fefd4b4aae64d3a4657136b137e2e66f0815e72aec2\",0,\"algebra_12712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 513935,
+      "path": "data/train/pe7/numina-001444-0000-743e17eb48b62084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "743e17eb48b620844c67791b10424f88767c297ee7d39a96668e319481acafde"
+    },
+    {
+      "bytes": 34503,
+      "path": "data/dev/pe7/numina-001444-0000-5d1970b877bdfd08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5d1970b877bdfd087b7532ed556c86752dbe3d0edefbda0531c5f77c57a19d9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001445.json b/manifests/batches/numina/001445.json
index e601eb12c6b5438f19fca22558c690fe71975890..59ff8b14285dee1a9918c62cd39c725207ef448d 100644
--- a/manifests/batches/numina/001445.json
+++ b/manifests/batches/numina/001445.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001445",
   "batch_fingerprint": "f1cb44778c3d02badca9fd0481a1817c406ff238aee94c205829cc5cd839977c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001445-0000-4524d662379e9259.parquet",
-      "sha256": "4524d662379e925967ab9089acaaf9a3914a68d1919b12da6f3427cfec69ff12",
-      "bytes": 254135,
-      "rows": 20,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/dev/numina-001445-0000-21953a0a4a7542fd.parquet",
-      "sha256": "21953a0a4a7542fd1761110a871a041aec91471af38e1d61bfc4d20556e177ea",
-      "bytes": 58385,
-      "rows": 15,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/internal_test/numina-001445-0000-e95a75dc58484099.parquet",
-      "sha256": "e95a75dc584840999291cfa734a236d2afcda5fee84c6a5b6338024f69fd00c5",
-      "bytes": 31906,
-      "rows": 1,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:ae17b1e0-a022-5476-b404-9d321c8b21bb",
     "numina:af07b94d-1cb3-5181-b69c-8c81d51c9ace",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007227.lean\",\"32a3d7329b5b0480a88abf3d49aa3cc47266b2d6d01b13d7c02f0870710c04f1\",0,\"algebra_610650\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007228.lean\",\"0a3a97aebd7cbeccd65b266191b3f4e68acc2c0e8ae2f34a50d45dac13c8eec3\",0,\"number_theory_77447\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007229.lean\",\"7df654abe193ca3f4b3486dfd7b7e508d8506ebeb6228fc11ae66074a4a1131e\",0,\"algebra_260925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254135,
+      "path": "data/train/pf5/numina-001445-0000-4524d662379e9259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4524d662379e925967ab9089acaaf9a3914a68d1919b12da6f3427cfec69ff12"
+    },
+    {
+      "bytes": 58385,
+      "path": "data/dev/pf5/numina-001445-0000-21953a0a4a7542fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "21953a0a4a7542fd1761110a871a041aec91471af38e1d61bfc4d20556e177ea"
+    },
+    {
+      "bytes": 31906,
+      "path": "data/internal_test/pf5/numina-001445-0000-e95a75dc58484099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e95a75dc584840999291cfa734a236d2afcda5fee84c6a5b6338024f69fd00c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001446.json b/manifests/batches/numina/001446.json
index 57116afb0c507fac40a54ec64418e72aadf28e7e..e4979ffbce9d0b5ae8f57980e020581b63596389 100644
--- a/manifests/batches/numina/001446.json
+++ b/manifests/batches/numina/001446.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001446",
   "batch_fingerprint": "d9b66fcad7e87dc90f61a7fd8e24723496009349d501a750a1dadba5068611c0",
   "evidence": {
@@ -48,22 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001446-0000-9bc15bf9eed0760e.parquet",
-      "sha256": "9bc15bf9eed0760e11a889ae007cb5e4e6d877afd132907afab3df9e34f27a1f",
-      "bytes": 1179440,
-      "rows": 62,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    },
-    {
-      "path": "data/train/numina-001446-0001-3b3b952caf50d543.parquet",
-      "sha256": "3b3b952caf50d543b31a7bbe980dfacf5b77fe3d8e5718ebd36aade0d17315a6",
-      "bytes": 136162,
-      "rows": 28,
-      "revision": "66282e23c84dfd5a89aa55775b6673125bc1a4e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:59e4a3a1-8551-54d8-8085-924462b61493",
     "numina:788af525-af5c-5d1d-bb57-88fb0dc4d9f8",
@@ -75,5 +59,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007231.lean\",\"cfb7c8b564113fd331ab3c3ed9701c37c7b7e336ac9cd07d248d41bb076cf726\",0,\"algebra_9146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007233.lean\",\"e97e8039a32b294474bf7d332cb13d966ed0fda6f226ff076c5a58551bd14513\",0,\"inequalities_126634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007234.lean\",\"bd09f36b9a482d391dfa1243a76cafaaf96ec6bbcc38721ccd9afebccd924933\",0,\"number_theory_33335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1179440,
+      "path": "data/train/p29/numina-001446-0000-9bc15bf9eed0760e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "9bc15bf9eed0760e11a889ae007cb5e4e6d877afd132907afab3df9e34f27a1f"
+    },
+    {
+      "bytes": 136162,
+      "path": "data/train/p29/numina-001446-0001-3b3b952caf50d543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "3b3b952caf50d543b31a7bbe980dfacf5b77fe3d8e5718ebd36aade0d17315a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001447.json b/manifests/batches/numina/001447.json
index e60993b5d4e9b0c79eacc0de69b7e1c267f613dc..9f4fc3eb722a7067ee8a9c8436d1fb1ba21ef96d 100644
--- a/manifests/batches/numina/001447.json
+++ b/manifests/batches/numina/001447.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001447",
   "batch_fingerprint": "f3fe8489a7f67c4343fbb1a2be80dbcaff8ee0d55c2286605ef3be5ad46b9c24",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001447-0000-41c15f5f73b421e3.parquet",
-      "sha256": "41c15f5f73b421e315f5f0dacc33f31701cd4b24060949165278c09992d07581",
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-      "rows": 12,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/dev/numina-001447-0000-9d06bfdddb8f48cf.parquet",
-      "sha256": "9d06bfdddb8f48cf1c7fbf8fbaf8860ebc4c669f627cedab03d010b1fa3a2f57",
-      "bytes": 145861,
-      "rows": 9,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    },
-    {
-      "path": "data/internal_test/numina-001447-0000-7276827d277f1100.parquet",
-      "sha256": "7276827d277f110071cd3f4dca384f412aa38ea616d8a19d8b495aff6beb0b65",
-      "bytes": 103030,
-      "rows": 15,
-      "revision": "e65906577b68902b8f2f7b0b19b172466af3c664"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:481c9683-8d6e-5afd-a624-2f51875b679a",
     "numina:5bbcb782-3f08-55ea-895c-cc12e3efb171",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007237.lean\",\"47ccac3c60bc882ab009267b7583995f22407897267ead2cd64de95f806d9276\",0,\"inequalities_217011\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007238.lean\",\"6ab60f969d72dc00a0d7b518f34abd4ffdc683b36d2275820366d9daa54db393\",0,\"number_theory_96531\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007239.lean\",\"35fb8ce66206f716fdb854feadf4dc41be041f7be1cb5daee1f2311165efaf6d\",0,\"number_theory_176638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338523,
+      "path": "data/train/pce/numina-001447-0000-41c15f5f73b421e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "41c15f5f73b421e315f5f0dacc33f31701cd4b24060949165278c09992d07581"
+    },
+    {
+      "bytes": 145861,
+      "path": "data/dev/pce/numina-001447-0000-9d06bfdddb8f48cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9d06bfdddb8f48cf1c7fbf8fbaf8860ebc4c669f627cedab03d010b1fa3a2f57"
+    },
+    {
+      "bytes": 103030,
+      "path": "data/internal_test/pce/numina-001447-0000-7276827d277f1100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7276827d277f110071cd3f4dca384f412aa38ea616d8a19d8b495aff6beb0b65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001448.json b/manifests/batches/numina/001448.json
index 2338ae98fe829e327a24fdb0382566e48cf6f616..762aeae7f370caa7961c793d3ff2155274f53a22 100644
--- a/manifests/batches/numina/001448.json
+++ b/manifests/batches/numina/001448.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001448",
   "batch_fingerprint": "e380c20256d58a3d8b457c5c55e1170e349e78cd19a9b3f1f00a674bd17e8295",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001448-0000-051e2fbfe5957e17.parquet",
-      "sha256": "051e2fbfe5957e175824f6a77fb234eaa7d3a9cd0ba19373df673c6531f87621",
-      "bytes": 141132,
-      "rows": 15,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/numina-001448-0000-a89c0a04ae453a27.parquet",
-      "sha256": "a89c0a04ae453a2757ecae90f134d08cf57b51c0e145db9fcae1a361b6d8a412",
-      "bytes": 198806,
-      "rows": 28,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08063e2d-5cc0-5981-8d49-c1640fb68406",
     "numina:446352d0-48fd-5c3c-984c-3cdf45517048",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007242.lean\",\"793ca5f7794cfee8f75abb0fa3cca3004bdf0e0b9b6cde31ae40a255c6085b4d\",0,\"Algebra_604504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007243.lean\",\"00734ba1ed1616e9f8e882bd5cbc01ed039006f3bcae6bf8b3f75a1f369b0958\",0,\"algebra_9154\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007244.lean\",\"8e79a7bada10e8b4a6697cf4ecce5a96c9f79dde2ac9186473b7c8d62f0cdff2\",0,\"calculus_22030\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141132,
+      "path": "data/train/pf0/numina-001448-0000-051e2fbfe5957e17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "051e2fbfe5957e175824f6a77fb234eaa7d3a9cd0ba19373df673c6531f87621"
+    },
+    {
+      "bytes": 198806,
+      "path": "data/internal_test/pf0/numina-001448-0000-a89c0a04ae453a27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a89c0a04ae453a2757ecae90f134d08cf57b51c0e145db9fcae1a361b6d8a412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001449.json b/manifests/batches/numina/001449.json
index 9c148da31a4cb99a08fdc1361c1b1b8bd5ae4afb..f5d9e69eed343f31ab89a357678f592a3e4e5b40 100644
--- a/manifests/batches/numina/001449.json
+++ b/manifests/batches/numina/001449.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001449",
   "batch_fingerprint": "1a86bbdc0ad634530ee973849acd2dbab731172eda64b9c16661420798e6dcb6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001449-0000-ce0e19cf476af0e9.parquet",
-      "sha256": "ce0e19cf476af0e97e89c8d7cf41b4ec121d660eb03274b499bb1ae983515d31",
-      "bytes": 374311,
-      "rows": 49,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2adfacb1-9b9e-504b-9a49-902651596a45",
     "numina:4b53bd25-494a-5481-b822-36d3a32c7594",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007247.lean\",\"1fab82ce9cb3db11a1f849ce2d034e396191b7721629941e6e54cf48d04267e9\",0,\"inequalities_25853\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007248.lean\",\"d2b360f55157c8e8cf09125f7d03ad571687ac1014100fc214e3d8b89a8de625\",0,\"algebra_15734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007249.lean\",\"a7534222f641de711807764f103272347fe7ff42d22c0641a54bf98088f9646e\",0,\"algebra_281425\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374311,
+      "path": "data/train/p2f/numina-001449-0000-ce0e19cf476af0e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "ce0e19cf476af0e97e89c8d7cf41b4ec121d660eb03274b499bb1ae983515d31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001450.json b/manifests/batches/numina/001450.json
index 868811363e58e28a409f08e51e7493ac7229982f..fcd8d56f9b310ba94b3cc25deeb8d567cf2cb9f6 100644
--- a/manifests/batches/numina/001450.json
+++ b/manifests/batches/numina/001450.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001450",
   "batch_fingerprint": "b056cec6786ee2bdbef2d368bd5d48d25ddfa6d72ff9219816410d701d100720",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001450-0000-53931aa03079a1d6.parquet",
-      "sha256": "53931aa03079a1d632b8170cd15e3d9d249b8d914403dc872fb467a72a77233a",
-      "bytes": 430038,
-      "rows": 45,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:225b1935-2487-5da3-a85a-111d6aef8e03",
     "numina:93b3229a-ce6c-53c8-a38c-00312f3dc3a5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007252.lean\",\"da1eee344f64403ca60c3b61ebda3c62ff2d2e99b64ee76d826ba0f4ed488309\",0,\"algebra_12557\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007253.lean\",\"c0fd00514c5b65bed5b07c7f65285885d28d4f6161332fa79ae2a4e39f66734c\",0,\"algebra_9377\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007254.lean\",\"c383b16bb4eb3d598ddf493272be54f7ebba92aea1859b7c6eed9eb770b682d2\",0,\"calculus_22129\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 430038,
+      "path": "data/train/p6b/numina-001450-0000-53931aa03079a1d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "53931aa03079a1d632b8170cd15e3d9d249b8d914403dc872fb467a72a77233a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001451.json b/manifests/batches/numina/001451.json
index 90e45498e056fd2a69319fcdc1333636efed177b..c33be8a2cfb84bc2af1b9ac74a565bbf19cb233e 100644
--- a/manifests/batches/numina/001451.json
+++ b/manifests/batches/numina/001451.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001451",
   "batch_fingerprint": "ed5719cbe1398dbe3dd38693bed7a2a7ed30ae82779d231e33fbb475031ef87c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001451-0000-5512de6659717d01.parquet",
-      "sha256": "5512de6659717d0132558ea7b9112c8340e1b6022af8fd68f51cc2f846bb4fcc",
-      "bytes": 644291,
-      "rows": 30,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/train/numina-001451-0001-f2cb692ee448091a.parquet",
-      "sha256": "f2cb692ee448091af3b00d5ee8e3aec18c7a27c5339a20d664702262b7957023",
-      "bytes": 437878,
-      "rows": 27,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ab4e485-bfe0-5d71-baa8-74551952447b",
     "numina:107245a2-6e2d-5f25-85c5-1d5812e6b5ac",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007257.lean\",\"9e915b9b98e82498f6bdd392656ff4938f467d1e0a305a26e0a518029140711d\",0,\"inequalities_132519\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007258.lean\",\"182661c68e42e420e1d7cf10707e0c8ddaa2213c127b2221cbb010a9ae7c7f75\",0,\"Algebra_611308\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007259.lean\",\"eaaa38481fc456329b1326c3f8f912d7ba596ce20cfca60f3083b0fdec80a891\",0,\"algebra_604521\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 644291,
+      "path": "data/train/p24/numina-001451-0000-5512de6659717d01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "5512de6659717d0132558ea7b9112c8340e1b6022af8fd68f51cc2f846bb4fcc"
+    },
+    {
+      "bytes": 437878,
+      "path": "data/train/p24/numina-001451-0001-f2cb692ee448091a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "f2cb692ee448091af3b00d5ee8e3aec18c7a27c5339a20d664702262b7957023"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001452.json b/manifests/batches/numina/001452.json
index 73172e0e9ed142795e18a4c0cdc5a292d13ac6fd..500ab80a6c8983e35538a40c6e88a6aba50ed113 100644
--- a/manifests/batches/numina/001452.json
+++ b/manifests/batches/numina/001452.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001452",
   "batch_fingerprint": "1e621ecb21bfa4696ebb05089bb071f2ba37f23309961e52b2393584e330a97b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001452-0000-273f17f92414868c.parquet",
-      "sha256": "273f17f92414868cede82b1e5af4f143461e1ae155f85f93706588adea15e237",
-      "bytes": 369367,
-      "rows": 51,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/dev/numina-001452-0000-e260fffe29975ff6.parquet",
-      "sha256": "e260fffe29975ff6fdda2a8115b65e54d2af3a64d265975d56fe288682e74360",
-      "bytes": 465841,
-      "rows": 12,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3bce5532-7a80-5591-8163-dac6bbced91e",
     "numina:421b9bfa-05b8-56fe-804e-050e1d2eac88",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007262.lean\",\"ca32fc4341e171442ca88e93f927715ac19578e64879da8681c5372ba341d22c\",0,\"algebra_20376\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007263.lean\",\"f6bc74aac0d3a1aa0003801f7ee2dd9da4b9d977636dd1095a2614fab9949d4a\",0,\"algebra_96973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007264.lean\",\"3b20d039c8bbce7cb7b51811b8a10fc6409a260597c9b30984c0904e9d8c4624\",0,\"algebra_608387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369367,
+      "path": "data/train/p3f/numina-001452-0000-273f17f92414868c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "273f17f92414868cede82b1e5af4f143461e1ae155f85f93706588adea15e237"
+    },
+    {
+      "bytes": 465841,
+      "path": "data/dev/p3f/numina-001452-0000-e260fffe29975ff6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e260fffe29975ff6fdda2a8115b65e54d2af3a64d265975d56fe288682e74360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001453.json b/manifests/batches/numina/001453.json
index f6d7a47063315e757fbcfb0674b26934c14e5184..b623afd8c6470f61be5af945a6adbf7b35be2076 100644
--- a/manifests/batches/numina/001453.json
+++ b/manifests/batches/numina/001453.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001453",
   "batch_fingerprint": "8f39e85f8159528a352f1669f3135c38ae62b5f0668b95ce71b7751a51115b55",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001453-0000-93cd1c74510ef8b0.parquet",
-      "sha256": "93cd1c74510ef8b0c425a83b95bb693bb07fb0692111b20b907216b6539554a9",
-      "bytes": 403392,
-      "rows": 37,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55fe8a19-1810-572f-8c3a-ef44ad4680f2",
     "numina:6feb5e2a-c697-5a49-a47f-1e6cf6347937",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007268.lean\",\"5ad4ced5d90d73cb198e01003ea04074c9908321757086bfa73e21d8aacc8043\",0,\"algebra_127245\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007269.lean\",\"ed41c9928e2a8a2d8d0446db589be74fa1d6103ea8ae9b84afab3de30d3fc2db\",0,\"algebra_9380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 403392,
+      "path": "data/train/pd9/numina-001453-0000-93cd1c74510ef8b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "93cd1c74510ef8b0c425a83b95bb693bb07fb0692111b20b907216b6539554a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001454.json b/manifests/batches/numina/001454.json
index be07416e0eb438ce63f7d7211124b9c574f8e98c..07f7ea2097dada6db54247617fa8092890347506 100644
--- a/manifests/batches/numina/001454.json
+++ b/manifests/batches/numina/001454.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001454",
   "batch_fingerprint": "62baf290a23a49b0b9414f0a66e9b82299a863ed7a1a72b5a10d9befac76a6e1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001454-0000-62564e99d3afb4ea.parquet",
-      "sha256": "62564e99d3afb4eac5f30a35aba176d2fef8a5d986c8a2f9c7271e492745f390",
-      "bytes": 672891,
-      "rows": 21,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/dev/numina-001454-0000-24f924aa5dd24f9c.parquet",
-      "sha256": "24f924aa5dd24f9cde029971ba87a6decc8e9dc81e4f91a0830ea9820693a416",
-      "bytes": 35423,
-      "rows": 3,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1191b828-10d7-5e5c-b032-b385d8c2383f",
     "numina:4ba1b8ea-4229-599d-a341-02c7a4e2d6e8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007272.lean\",\"f9165ac93e4cd18645e85722a450ccb3df292219a9fc43a6052e2babb64b8dc0\",0,\"algebra_96353\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007273.lean\",\"dbc843728331aa6d7a4cefa4378b5660cdee91419182e0f35bea06113c5a7898\",0,\"number_theory_167077\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007274.lean\",\"e06bf5958df7400282bf685dffffbd2d606c1c7c81b43174b8633a78f247b5eb\",0,\"number_theory_611337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 672891,
+      "path": "data/train/p33/numina-001454-0000-62564e99d3afb4ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "62564e99d3afb4eac5f30a35aba176d2fef8a5d986c8a2f9c7271e492745f390"
+    },
+    {
+      "bytes": 35423,
+      "path": "data/dev/p33/numina-001454-0000-24f924aa5dd24f9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "24f924aa5dd24f9cde029971ba87a6decc8e9dc81e4f91a0830ea9820693a416"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001455.json b/manifests/batches/numina/001455.json
index 0cbb0c8bbb778eca3cba3f0fef7b714ef2b5696e..622b67fe89e129f6b3f11e1686d5d244c03b1b93 100644
--- a/manifests/batches/numina/001455.json
+++ b/manifests/batches/numina/001455.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001455",
   "batch_fingerprint": "c5253ab977c7a313aa7aa325c72bf66cd96456565908480dffd6d06f07ee7252",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001455-0000-e212c8dc2fcc5e6b.parquet",
-      "sha256": "e212c8dc2fcc5e6bb3c9f59588d6f5be0593a60e9ea18e8959e27dfb62f90b82",
-      "bytes": 109070,
-      "rows": 17,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    },
-    {
-      "path": "data/internal_test/numina-001455-0000-566a53b3925d7882.parquet",
-      "sha256": "566a53b3925d78827d7a76e2dceb78f736aa5e0c43292144c5f09061d01d04b3",
-      "bytes": 51191,
-      "rows": 7,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2463f372-33e8-501a-9c4e-a46de0a7323d",
     "numina:4d61be9e-ef17-58b9-8e40-810bf9d620be",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007277.lean\",\"7908024edda50d3d060e4ee327b325bbe2ae1ea7d4af7fef06c15f571066d6e7\",0,\"algebra_21741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007278.lean\",\"fddcf7a5b41ca065cc0c23e38030173a70a05f33de78c810569632fd62710416\",0,\"algebra_96380\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007279.lean\",\"dc2a53d7379444c6da5515c7687f94a6403a0f98ca9f9bf46250a3be896e184f\",0,\"inequalities_27857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109070,
+      "path": "data/train/p99/numina-001455-0000-e212c8dc2fcc5e6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e212c8dc2fcc5e6bb3c9f59588d6f5be0593a60e9ea18e8959e27dfb62f90b82"
+    },
+    {
+      "bytes": 51191,
+      "path": "data/internal_test/p99/numina-001455-0000-566a53b3925d7882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "566a53b3925d78827d7a76e2dceb78f736aa5e0c43292144c5f09061d01d04b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001456.json b/manifests/batches/numina/001456.json
index 9ed0992cb24cf6df88eddfad57086d9f23d5f3c0..4ac3143815b7d750be652e4e466a665a45a90d00 100644
--- a/manifests/batches/numina/001456.json
+++ b/manifests/batches/numina/001456.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001456",
   "batch_fingerprint": "c943b5e1cb24d2c991feb4aac9e60687bbd6943210ba635ddbb4ad4c79f64698",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001456-0000-844bb5e0644cb122.parquet",
-      "sha256": "844bb5e0644cb122d8d67a3b50fe4755028128dc58e27b87b35aef9bb0d31634",
-      "bytes": 292515,
-      "rows": 24,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/dev/numina-001456-0000-2d0cc3cb007b9f39.parquet",
-      "sha256": "2d0cc3cb007b9f391dfa419898ab8f506b0f3a8aa25769d06a65641e42d93353",
-      "bytes": 537392,
-      "rows": 15,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    },
-    {
-      "path": "data/internal_test/numina-001456-0000-1c22f9fe517f327c.parquet",
-      "sha256": "1c22f9fe517f327c0a0a290cfc6036039cc16364b1e4a477df09ea230af22d47",
-      "bytes": 65953,
-      "rows": 9,
-      "revision": "d416d4ced951db84240487e0b5cd20b20b08d57e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07611987-f4f0-5b30-a454-726078218b41",
     "numina:8a2bb28e-e910-5978-b296-151a1bf9425a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007282.lean\",\"7ebc3b6514de4b86a37f6f445ba9af60ee7c446eeff2adc11dfcafcb17da2980\",0,\"algebra_604456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007283.lean\",\"a36e3aa788729c6edd20f497ae06086a53ee02e1b0db1c5f335eaf4770e5b1cb\",0,\"algebra_611339\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007284.lean\",\"f05e499d93335c2def15d98d086125bd582a26d2b5b0bb72704cba9a2935c409\",0,\"inequalities_607581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292515,
+      "path": "data/train/pcd/numina-001456-0000-844bb5e0644cb122.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "844bb5e0644cb122d8d67a3b50fe4755028128dc58e27b87b35aef9bb0d31634"
+    },
+    {
+      "bytes": 537392,
+      "path": "data/dev/pcd/numina-001456-0000-2d0cc3cb007b9f39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2d0cc3cb007b9f391dfa419898ab8f506b0f3a8aa25769d06a65641e42d93353"
+    },
+    {
+      "bytes": 65953,
+      "path": "data/internal_test/pcd/numina-001456-0000-1c22f9fe517f327c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1c22f9fe517f327c0a0a290cfc6036039cc16364b1e4a477df09ea230af22d47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001457.json b/manifests/batches/numina/001457.json
index ca049f5f5515902a062e5e9516db96b024307400..82e7ab00d883ebad96b4bf1cffc403bbe4dace5a 100644
--- a/manifests/batches/numina/001457.json
+++ b/manifests/batches/numina/001457.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001457",
   "batch_fingerprint": "d8b78fca16550b1a293bea84f2ec962520512f7e2461455e28e2c190f3089dcd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001457-0000-403812db3febf2c5.parquet",
-      "sha256": "403812db3febf2c5e245da0bfaf2541eab376b2eaf6815f6d98dccc1b9150061",
-      "bytes": 224276,
-      "rows": 36,
-      "revision": "5502dd0e4e64175a586e3a8f19f63571b7824b6f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4eae2536-a8b0-5d82-ac32-40d6bddfc801",
     "numina:529b865b-6aeb-5e07-9d7f-3d738cc11d35",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007287.lean\",\"7c03803aab96eafe5c306a23ba683651b30c123b052a58f32a259f9a72393de9\",0,\"algebra_96384\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007288.lean\",\"290faec1f28d7ec7538d604be940a2610fff39104b306d42d71294fd02cecf6e\",0,\"algebra_164709\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007289.lean\",\"cb5328039df131648ab33d33dd775207642a64fde6fb4ea8fe347951cd0d8e1e\",0,\"number_theory_604464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224276,
+      "path": "data/train/pa8/numina-001457-0000-403812db3febf2c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "403812db3febf2c5e245da0bfaf2541eab376b2eaf6815f6d98dccc1b9150061"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001458.json b/manifests/batches/numina/001458.json
index 40c32e9c5374f53bfb7f6dd0da0e2520effa7e08..7ebf3dbbb1d8a6a39e8b868369e2f630997c8de9 100644
--- a/manifests/batches/numina/001458.json
+++ b/manifests/batches/numina/001458.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001458",
   "batch_fingerprint": "a31f980badbc61dfda9452d08ad2604f8133cc27d9d5fa3b5562e69d5e0f1a84",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001458-0000-5866a118900fdb1a.parquet",
-      "sha256": "5866a118900fdb1ae80a47270d615495f3c7df82bee601b3f52c11e7a292288e",
-      "bytes": 724176,
-      "rows": 43,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07ac8a07-e0e7-5ce6-9068-582abd38a01a",
     "numina:41f6e45a-fd21-5b56-8092-c1e2db76f127",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007292.lean\",\"6326a4e3874b3930a04e6c4cf63f3d68bd3793dbce43ff5ea6a8d5943467a1e7\",0,\"algebra_9386\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007293.lean\",\"6e64606cf4333a13d6d441bfae142a0ed3e1c48e72138253c156416768821d9a\",0,\"number_theory_98220\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007294.lean\",\"360518cf5f14f4d62147a8cb06c80695e4ecdcbd75052993bc6ce134460ebd77\",0,\"number_theory_611352\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 724176,
+      "path": "data/train/p8f/numina-001458-0000-5866a118900fdb1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "5866a118900fdb1ae80a47270d615495f3c7df82bee601b3f52c11e7a292288e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001459.json b/manifests/batches/numina/001459.json
index 606ef104c8bbde4271f709662cd03298302e66e3..4e1b3f07e11d98d8a81cbbcbc8308e3fe0559775 100644
--- a/manifests/batches/numina/001459.json
+++ b/manifests/batches/numina/001459.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001459",
   "batch_fingerprint": "8d0c5fcb30b5f3bd361bb3dab6f21ae1b7cc97ae6bb64c20440c7d761df21922",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001459-0000-5ca44bbac8c67914.parquet",
-      "sha256": "5ca44bbac8c67914b3e5ca3054cd46d571f5c12175a4dd93ed3b6292c41190a0",
-      "bytes": 165385,
-      "rows": 28,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001459-0000-ef5586387b1aad76.parquet",
-      "sha256": "ef5586387b1aad76d04d1b70cf37c58fd179a0cb57aa6cc2864c910f6a896382",
-      "bytes": 147832,
-      "rows": 9,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08f02264-118f-5c79-8ffe-7d48137fc58f",
     "numina:5a186a3d-8967-5f75-9753-e3d796759475",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007297.lean\",\"a5e8309846e366d2bb61ac3d32248f36d2a73902c4fc1628ff6754c23ef63ebd\",0,\"algebra_12605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007298.lean\",\"17b9d0ae1fbb8203f26af04d2561f5e4c972bd523d03d22d6941d77c01bf2e49\",0,\"algebra_9387\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007299.lean\",\"e92a59f9627684a3f0c2a307de7b1237d20bb88ee9ebda4e5319164c7995e12f\",0,\"algebra_21850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165385,
+      "path": "data/train/p94/numina-001459-0000-5ca44bbac8c67914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5ca44bbac8c67914b3e5ca3054cd46d571f5c12175a4dd93ed3b6292c41190a0"
+    },
+    {
+      "bytes": 147832,
+      "path": "data/internal_test/p94/numina-001459-0000-ef5586387b1aad76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ef5586387b1aad76d04d1b70cf37c58fd179a0cb57aa6cc2864c910f6a896382"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001460.json b/manifests/batches/numina/001460.json
index 72c24ce10bb0456fa1f296cb9fba8664faaa58fd..5e586188c7652662697a28756e0c476cad482e9e 100644
--- a/manifests/batches/numina/001460.json
+++ b/manifests/batches/numina/001460.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001460",
   "batch_fingerprint": "b2216c9e78046d7a2616ae3553ccc98fa8a68b40e9b3ee4dd5f963d9f490d81b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001460-0000-d2e8d0df3922162a.parquet",
-      "sha256": "d2e8d0df3922162ae019a0896924dd3e881e1be36e12256313fe9239f2a61f05",
-      "bytes": 935873,
-      "rows": 30,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/train/numina-001460-0001-bab50150c9915c69.parquet",
-      "sha256": "bab50150c9915c69b62d93845291b7eab5cf07e5ade65b1e437e37d31efa45ed",
-      "bytes": 92276,
-      "rows": 5,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001460-0000-2d15069ba586ef5b.parquet",
-      "sha256": "2d15069ba586ef5b912eae0face8a77a1237bf3fdde7f43a0112cf6c3dbb0fe7",
-      "bytes": 109130,
-      "rows": 15,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:154a2f43-a5cf-5417-8544-597955b06957",
     "numina:46a41ce3-debf-5483-93aa-4d8f9700961c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007302.lean\",\"c47f7aea790b910842652e92fbc746081aa47dcce49c91dd3f66b7d66bda2e24\",0,\"algebra_98221\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007303.lean\",\"7efbd9483521d7b409cf3dfed31a6442127898df577451c24857a906a45cca7d\",0,\"inequalities_626745\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007304.lean\",\"bacc80b71426fd2e66b9cd69a765b76db805d822957fa2f08cb2943be7e6ae12\",0,\"algebra_231992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 935873,
+      "path": "data/train/p6d/numina-001460-0000-d2e8d0df3922162a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d2e8d0df3922162ae019a0896924dd3e881e1be36e12256313fe9239f2a61f05"
+    },
+    {
+      "bytes": 92276,
+      "path": "data/train/p6d/numina-001460-0001-bab50150c9915c69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bab50150c9915c69b62d93845291b7eab5cf07e5ade65b1e437e37d31efa45ed"
+    },
+    {
+      "bytes": 109130,
+      "path": "data/internal_test/p6d/numina-001460-0000-2d15069ba586ef5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2d15069ba586ef5b912eae0face8a77a1237bf3fdde7f43a0112cf6c3dbb0fe7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001461.json b/manifests/batches/numina/001461.json
index 91a4d0e97be4165a9feddddf629a05e74fc8f3c1..f1f6306f8a8e7bddcb5b1f0f98ab22fdd9a144b3 100644
--- a/manifests/batches/numina/001461.json
+++ b/manifests/batches/numina/001461.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001461",
   "batch_fingerprint": "560c6aced2e9ca9f7d6ea009bf848ac14fdbfdc65e048bc34bb18982cc709c12",
   "evidence": {
@@ -50,39 +49,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:38c4e751-dda7-5426-9691-31839b82dead",
+    "numina:5a4d9414-e447-5ed4-bb34-ca6539204ad6",
+    "numina:5efcf59c-a9df-589b-8983-3764a4c503b6",
+    "numina:baf5437c-bd98-51e7-ac56-d90ea33046f6"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007305.lean\",\"a46fae85c88027ae62c7dbbc673c42fb3a07a9e92449154a58f2a52342685fd0\",0,\"number_theory_604999\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007307.lean\",\"8ecb3da36e7ae5f8f08b203a3b24447d65232c7e2e4a07fa85db007be6f312bb\",0,\"algebra_1113\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007308.lean\",\"2d3a37f491dea217feac721c1f3013fe1831d6484f53ebe90d4c9ea74106cbf7\",0,\"algebra_9238\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007309.lean\",\"d592523ddd665bc37fb472b4d4fb46798325d14ba1d499a6606e372cbf3b19b7\",0,\"number_theory_219967\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001461-0000-4d2d48bf9fce72ce.parquet",
-      "sha256": "4d2d48bf9fce72ce974e87f7a3f4a4638a61352a72d934debccc472c4df220ea",
       "bytes": 24188,
+      "path": "data/train/pd7/numina-001461-0000-4d2d48bf9fce72ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
+      "sha256": "4d2d48bf9fce72ce974e87f7a3f4a4638a61352a72d934debccc472c4df220ea"
     },
     {
-      "path": "data/dev/numina-001461-0000-a87c7f397e5b90bb.parquet",
-      "sha256": "a87c7f397e5b90bb66972353b1895017083d5207b756136203b7bb37da77830f",
       "bytes": 418765,
+      "path": "data/dev/pd7/numina-001461-0000-a87c7f397e5b90bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 54,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
+      "sha256": "a87c7f397e5b90bb66972353b1895017083d5207b756136203b7bb37da77830f"
     },
     {
-      "path": "data/internal_test/numina-001461-0000-6b25075f28c6d963.parquet",
-      "sha256": "6b25075f28c6d96378d4da1239015e8076faa08af7274c12a905f1a3d6c2a02d",
       "bytes": 72831,
+      "path": "data/internal_test/pd7/numina-001461-0000-6b25075f28c6d963.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
+      "sha256": "6b25075f28c6d96378d4da1239015e8076faa08af7274c12a905f1a3d6c2a02d"
     }
-  ],
-  "proof_ids": [
-    "numina:38c4e751-dda7-5426-9691-31839b82dead",
-    "numina:5a4d9414-e447-5ed4-bb34-ca6539204ad6",
-    "numina:5efcf59c-a9df-589b-8983-3764a4c503b6",
-    "numina:baf5437c-bd98-51e7-ac56-d90ea33046f6"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007305.lean\",\"a46fae85c88027ae62c7dbbc673c42fb3a07a9e92449154a58f2a52342685fd0\",0,\"number_theory_604999\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007307.lean\",\"8ecb3da36e7ae5f8f08b203a3b24447d65232c7e2e4a07fa85db007be6f312bb\",0,\"algebra_1113\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007308.lean\",\"2d3a37f491dea217feac721c1f3013fe1831d6484f53ebe90d4c9ea74106cbf7\",0,\"algebra_9238\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007309.lean\",\"d592523ddd665bc37fb472b4d4fb46798325d14ba1d499a6606e372cbf3b19b7\",0,\"number_theory_219967\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001462.json b/manifests/batches/numina/001462.json
index e606226e9d20baa7757cd495afd5a3f40971ca34..311787d1708b5e839fcca165c9cafd0c3bff1f4e 100644
--- a/manifests/batches/numina/001462.json
+++ b/manifests/batches/numina/001462.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001462",
   "batch_fingerprint": "0ab9625e5abcaf69117a2cec078a2c89e877ab44fbd1a5b1e01d9500d0bbb2f8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001462-0000-c612752822681c2b.parquet",
-      "sha256": "c612752822681c2bbfbbfc3c2fbd50bb23c749a7a6d74c6c3a52f44fab69a11f",
-      "bytes": 392243,
-      "rows": 51,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31a3056a-1ac5-5103-a769-01eafd0d8cbc",
     "numina:78fd69ee-324c-538d-9ee7-b23a8120956f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007312.lean\",\"23cf8b7aaf6d16cf854f4ac3e5a23a6cf11b7c70d35f19e706c06357d06d0c0a\",0,\"number_theory_16494\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007313.lean\",\"41465fc826681a355675273f05c5dcf94678a86b272e3e990a5e32d2bf150d21\",0,\"algebra_2624\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007314.lean\",\"516238945286b827cf43e7f831168bf129ac0a915121ae8d014068f6d383c662\",0,\"algebra_232175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392243,
+      "path": "data/train/p41/numina-001462-0000-c612752822681c2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "c612752822681c2bbfbbfc3c2fbd50bb23c749a7a6d74c6c3a52f44fab69a11f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001463.json b/manifests/batches/numina/001463.json
index bdabe8c1e604667cf2aa41b9b1715bb4bbcacc7e..dd214f228a8697634d76631a80916cb2ffb112e9 100644
--- a/manifests/batches/numina/001463.json
+++ b/manifests/batches/numina/001463.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001463",
   "batch_fingerprint": "941544cc0b914a566992943df6daeadf2bd8efc39ce783d0d813612485e85220",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001463-0000-633b3ee04acc4f92.parquet",
-      "sha256": "633b3ee04acc4f9213f38ddb2bf990d320ea3cc233a44964e59ed9ccd68471f0",
-      "bytes": 386655,
-      "rows": 45,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/dev/numina-001463-0000-922f00e2b464504c.parquet",
-      "sha256": "922f00e2b464504cf3c9a67c682d59fb73d9d204ecb0b3d505a132b29fdfa8b9",
-      "bytes": 157667,
-      "rows": 6,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001463-0000-f0fe6458348a314f.parquet",
-      "sha256": "f0fe6458348a314f253fed3819d6fbf8a5cdba061848350c923721c418aee4c5",
-      "bytes": 66231,
-      "rows": 12,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a76bcdf-ef6e-54e6-82d9-1b2bb5a85756",
     "numina:9e9b43cb-b700-565b-a382-69e1fef4e11e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007317.lean\",\"5def8bd347b9b730c4b7933ded2cb010ec0a920d9661799fb0235ed99320b5fb\",0,\"algebra_9239\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007318.lean\",\"f512fee8204941cebe7fdd1e25df1a0589272925e3b2e8158d26720366b22679\",0,\"number_theory_219990\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007319.lean\",\"99194535da325a7ac44501013045a4620032d3d173f5e7d95924db1c7fecdc2b\",0,\"algebra_21855\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386655,
+      "path": "data/train/p34/numina-001463-0000-633b3ee04acc4f92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "633b3ee04acc4f9213f38ddb2bf990d320ea3cc233a44964e59ed9ccd68471f0"
+    },
+    {
+      "bytes": 157667,
+      "path": "data/dev/p34/numina-001463-0000-922f00e2b464504c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "922f00e2b464504cf3c9a67c682d59fb73d9d204ecb0b3d505a132b29fdfa8b9"
+    },
+    {
+      "bytes": 66231,
+      "path": "data/internal_test/p34/numina-001463-0000-f0fe6458348a314f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f0fe6458348a314f253fed3819d6fbf8a5cdba061848350c923721c418aee4c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001464.json b/manifests/batches/numina/001464.json
index 0702aca9e9f5da5953fb4b91d17f596f6868eec0..c74dbf74def615440f48dae4bd0fef9f1c8981bb 100644
--- a/manifests/batches/numina/001464.json
+++ b/manifests/batches/numina/001464.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001464",
   "batch_fingerprint": "9404d5360b2f469628cb80cfbe5503c3cb38989de76329d925855a41889263a8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001464-0000-250e57636afafe6c.parquet",
-      "sha256": "250e57636afafe6c542f4ebfacca2efaf819e3f6f68a311ab79fb79fa6f0f6ac",
-      "bytes": 308715,
-      "rows": 49,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    },
-    {
-      "path": "data/internal_test/numina-001464-0000-3174f1c86539819d.parquet",
-      "sha256": "3174f1c86539819d9195da5259736fb083786b7db12d3046945ab18716c1c69d",
-      "bytes": 363309,
-      "rows": 12,
-      "revision": "abcf134a9bbef9d51892454d88997e62c6d97fb1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f5ec3be-c8cd-5caa-a47b-fcf0ca6b4506",
     "numina:666b0734-0c23-5757-91db-2d8471328ec6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007322.lean\",\"9d988fce942cdb7e00eb344b2cf487710c803cb79d0e0f292c66933622d0dd7c\",0,\"number_theory_607693\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007323.lean\",\"c0199922045231038e9258ef55b62fcc6a136c6e15f1a6803de48a6d94dfa369\",0,\"algebra_132534\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007324.lean\",\"8c8a7ff58419850b5f81c626586fc4a3f70e2585eaff34a5a10f9a2c84232028\",1,\"algebra_9443_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308715,
+      "path": "data/train/p7b/numina-001464-0000-250e57636afafe6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "250e57636afafe6c542f4ebfacca2efaf819e3f6f68a311ab79fb79fa6f0f6ac"
+    },
+    {
+      "bytes": 363309,
+      "path": "data/internal_test/p7b/numina-001464-0000-3174f1c86539819d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3174f1c86539819d9195da5259736fb083786b7db12d3046945ab18716c1c69d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001465.json b/manifests/batches/numina/001465.json
index a618e7cb5c90bcfdcb9b5833e52a3789e13929c4..aa54bf2c0382c72b2bdd8f14c2470ffc264de239 100644
--- a/manifests/batches/numina/001465.json
+++ b/manifests/batches/numina/001465.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001465",
   "batch_fingerprint": "6720995e9338785ef5a50a3d43563348db532236b44d1a6a330ee6c912958ac2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001465-0000-8b013e0498711e92.parquet",
-      "sha256": "8b013e0498711e9236eb6e6799efc2234b773f19cfd54d1b21b8d34dbd69c57f",
-      "bytes": 215324,
-      "rows": 17,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:66307ab0-1a96-5084-8ae0-2e09ef77e7ef",
     "numina:a10926bc-1496-5b31-ba91-765d54709587",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007327.lean\",\"7486e760f24a387574a28695f89256626eca88ababc831e7ecad7bee4a642f67\",0,\"algebra_2634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007328.lean\",\"58c6226a22b37ef2922af5fad86644e5cb4efbc6417573b6170bce4862ec77bc\",0,\"calculus_164437\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007329.lean\",\"8bad27eab4e917f40f4dd35c40c21eb43eef1240a9adeb6963c34b545a0b072d\",0,\"algebra_241493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215324,
+      "path": "data/train/pd3/numina-001465-0000-8b013e0498711e92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8b013e0498711e9236eb6e6799efc2234b773f19cfd54d1b21b8d34dbd69c57f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001466.json b/manifests/batches/numina/001466.json
index 3dd6541667d56110c1ce8b5937cc95b9cd545039..04ac18d39c9c9141dc766e7fa6aee959d56690b7 100644
--- a/manifests/batches/numina/001466.json
+++ b/manifests/batches/numina/001466.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001466",
   "batch_fingerprint": "645798343dc390d224d307b4a19007c19574a210a6e7f36b86e756296d08928b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001466-0000-abade569ae70179a.parquet",
-      "sha256": "abade569ae70179a0e92e66448ca345d7c5917bf971797fb68e3fa7f3a68fcdb",
-      "bytes": 123648,
-      "rows": 10,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/dev/numina-001466-0000-3834d72c6bb16aa9.parquet",
-      "sha256": "3834d72c6bb16aa97f47c47fd099d1a479c420994a99a5f147a61940e697f798",
-      "bytes": 101917,
-      "rows": 4,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001466-0000-b2450693fb3362ab.parquet",
-      "sha256": "b2450693fb3362abd42315844236fc181533ff727b58ca549d0ada4a47c8f602",
-      "bytes": 41670,
-      "rows": 8,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:006994c7-6358-5217-b3fd-b210a668dbb4",
     "numina:406dbedc-d8b2-5e72-bd21-4463865e1f9e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007332.lean\",\"eea671f4ba3742c210fa165135d153c8351a44214facdfdcab3b009d1840de1d\",0,\"algebra_21671\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007333.lean\",\"2f4ab7a1509c0b8a41ddb0504c26614a22b503760296076f0f4b3eae9e225f07\",0,\"algebra_288318\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007334.lean\",\"0a807af139d7d987087c173cc234f5e1fd710594716f998c452d1b7e1033bc8c\",0,\"Algebra_1186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123648,
+      "path": "data/train/p04/numina-001466-0000-abade569ae70179a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "abade569ae70179a0e92e66448ca345d7c5917bf971797fb68e3fa7f3a68fcdb"
+    },
+    {
+      "bytes": 101917,
+      "path": "data/dev/p04/numina-001466-0000-3834d72c6bb16aa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3834d72c6bb16aa97f47c47fd099d1a479c420994a99a5f147a61940e697f798"
+    },
+    {
+      "bytes": 41670,
+      "path": "data/internal_test/p04/numina-001466-0000-b2450693fb3362ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b2450693fb3362abd42315844236fc181533ff727b58ca549d0ada4a47c8f602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001467.json b/manifests/batches/numina/001467.json
index ad5ae2ed73fcfb21c9abe25bf8c56ae878a711f1..31f16bd447b3ddaaada99131dca63c27ea15fd7a 100644
--- a/manifests/batches/numina/001467.json
+++ b/manifests/batches/numina/001467.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001467",
   "batch_fingerprint": "a60965eba78abab1c73a54ae04fd5d52d399ef83516e69f1877f422e83c9e805",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001467-0000-abe344622d1c41af.parquet",
-      "sha256": "abe344622d1c41af82c7fb3cb64b0f0ce55d3a58cfa4848af4f3c416b87818fd",
-      "bytes": 117145,
-      "rows": 20,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001467-0000-a5fee6858615b6a3.parquet",
-      "sha256": "a5fee6858615b6a342d61c3c1916cfcbe5cbd2e5b43f366bde5f7083c48977b6",
-      "bytes": 167350,
-      "rows": 6,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0156cf6d-2cf6-55ad-9aa9-3a3bb3fae2ce",
     "numina:4675a93e-ed3b-5516-b432-0bb6996d72df",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007337.lean\",\"88dea5dc9b91f6d068868bc509432e46aed7e1b538f727143812e07e7a2822e2\",0,\"inequalities_220028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007338.lean\",\"4f5db97653efa032dd8213d5afe50665ee677141d8da3a1132768a128e82d290\",0,\"algebra_21688\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007339.lean\",\"55c1c1fd03faba1093a24cdc54c8faba1a4094a4c7718d8e09cfca27ddc16bf4\",0,\"number_theory_288319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117145,
+      "path": "data/train/p9d/numina-001467-0000-abe344622d1c41af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "abe344622d1c41af82c7fb3cb64b0f0ce55d3a58cfa4848af4f3c416b87818fd"
+    },
+    {
+      "bytes": 167350,
+      "path": "data/internal_test/p9d/numina-001467-0000-a5fee6858615b6a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a5fee6858615b6a342d61c3c1916cfcbe5cbd2e5b43f366bde5f7083c48977b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001468.json b/manifests/batches/numina/001468.json
index 8f0b9abb5343f37bb51986a7684c0c488c00e212..f4236d1ce25cdcf4189c06442fb3e7378805654f 100644
--- a/manifests/batches/numina/001468.json
+++ b/manifests/batches/numina/001468.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001468",
   "batch_fingerprint": "592c07004f42ddc9fb983ee0d1d7fca3d7bdcf5c7abe868979f1b9e1e21783e1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001468-0000-94cc4c059cc17bf6.parquet",
-      "sha256": "94cc4c059cc17bf65ec62b4139d28948ec2bd5d24b773bddbc29727fc0f3ef94",
-      "bytes": 220188,
-      "rows": 23,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    },
-    {
-      "path": "data/internal_test/numina-001468-0000-b11fcaa8b6577da9.parquet",
-      "sha256": "b11fcaa8b6577da9b9a1101642a6607cfcfdbbff9ace5026551b7526dee0aa97",
-      "bytes": 47305,
-      "rows": 7,
-      "revision": "cbe1482cb65ba353079b280907cc7e0382180ba2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b3f4d97-60de-5343-9862-f4352fb35abb",
     "numina:1f151570-7748-5249-8c48-5d2951b50993",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007342.lean\",\"29c19b17920ef1476d9382857cefad8e181371a1a98bfc676efbc5cf508f3a6d\",0,\"algebra_9176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007343.lean\",\"11c8a484745b9f4e31846eb429b4731d6b72f1afbd806df5f97ab3b0af1d1a48\",0,\"algebra_96893\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007344.lean\",\"0e6f381f93d28baed09c6f738e927c37a75eacc5234160ca4d5cb20f54bd8479\",0,\"inequalities_60160\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220188,
+      "path": "data/train/pcb/numina-001468-0000-94cc4c059cc17bf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "94cc4c059cc17bf65ec62b4139d28948ec2bd5d24b773bddbc29727fc0f3ef94"
+    },
+    {
+      "bytes": 47305,
+      "path": "data/internal_test/pcb/numina-001468-0000-b11fcaa8b6577da9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b11fcaa8b6577da9b9a1101642a6607cfcfdbbff9ace5026551b7526dee0aa97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001469.json b/manifests/batches/numina/001469.json
index 0aace374d252ba95200eeb1398466ddad198e510..be430f30c400bfab533ab31f8c65d54bfbbc3dd8 100644
--- a/manifests/batches/numina/001469.json
+++ b/manifests/batches/numina/001469.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001469",
   "batch_fingerprint": "cfe2e71a217ba00dc7b43c08a430eb78876df17a12dd41f569a090f79561c765",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001469-0000-64b1090b4ee0c7a9.parquet",
-      "sha256": "64b1090b4ee0c7a917444016888ab5e243b4f0f7ec27540d31e12075f95ca657",
-      "bytes": 594003,
-      "rows": 42,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/train/numina-001469-0001-22d162f4eaf4683a.parquet",
-      "sha256": "22d162f4eaf4683a36401b88af88b70dca126f7714d03ee44c77fa892136713f",
-      "bytes": 40460,
-      "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:669a1192-881f-55f9-911b-791438beb743",
     "numina:66fa1fc5-0689-515c-9ee8-fa69c080b3f8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007347.lean\",\"4b4070b79212aa577221c34cafb3903e4a89f6a092265a9a8351671609cc61b3\",0,\"algebra_604793\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007348.lean\",\"1491ddd725b4d62da81dff1ab60066e5f26604304349401edf742c4a6c89aaaf\",0,\"algebra_190349\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007349.lean\",\"ffb12bb848ce032ba2e3a1dfa552ffa8195a52616295707855c86e454c772c95\",0,\"inequalities_145332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 594003,
+      "path": "data/train/p0b/numina-001469-0000-64b1090b4ee0c7a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "64b1090b4ee0c7a917444016888ab5e243b4f0f7ec27540d31e12075f95ca657"
+    },
+    {
+      "bytes": 40460,
+      "path": "data/train/p0b/numina-001469-0001-22d162f4eaf4683a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "22d162f4eaf4683a36401b88af88b70dca126f7714d03ee44c77fa892136713f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001470.json b/manifests/batches/numina/001470.json
index 5494a2ba1a369ae43611eb2f42257f530d844695..d73df929507e469855e9c818de28018c3f19716d 100644
--- a/manifests/batches/numina/001470.json
+++ b/manifests/batches/numina/001470.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001470",
   "batch_fingerprint": "6287390398cd2e0d01338a7f1153a65aa64a008c7a37a5b47b562972c6f25cf6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001470-0000-0600adafabe41acf.parquet",
-      "sha256": "0600adafabe41acfa4f51bdf47f7744e6a67d268882a4b8e1d48b29ef4422b8e",
-      "bytes": 496155,
-      "rows": 68,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06ec654b-d746-5a4f-82f2-63a7466b6c97",
     "numina:43cbe160-f5c0-527c-a779-a8d0dc77c50d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007352.lean\",\"5317440d6219612ffc39bd54c4afe209e8181dce6a07821d3ab9451ed55a0a32\",0,\"number_theory_97765\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007353.lean\",\"9789253093697f6158f63767cd5e9957d65959cec7bdb2ca9f810c6322bee00d\",0,\"algebra_607887\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007354.lean\",\"4c840abd82025cab4a78d424ba855877ef2234c15bd3027a03ce9b0581baa2ca\",0,\"algebra_166490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 496155,
+      "path": "data/train/p22/numina-001470-0000-0600adafabe41acf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "0600adafabe41acfa4f51bdf47f7744e6a67d268882a4b8e1d48b29ef4422b8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001471.json b/manifests/batches/numina/001471.json
index e981f5d833711aa43e20e5b82edb4ca1ed336db5..fbacfc878bf1b0574c903cd7e38ba228247f58d4 100644
--- a/manifests/batches/numina/001471.json
+++ b/manifests/batches/numina/001471.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001471",
   "batch_fingerprint": "9a091e026878d81912809ed4ce40862e8cc6fb467ddb425502ea192d45dff104",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001471-0000-e3ecb61016d7e488.parquet",
-      "sha256": "e3ecb61016d7e488e8fed4977a9f68bb6f67ed8426740ca6e5523a5b0f528e67",
-      "bytes": 158912,
-      "rows": 31,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:098afa21-881d-5f05-8a50-bd047f58696b",
     "numina:6a6d5739-1d46-5a1d-8b94-5012c43085e6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007357.lean\",\"038ca0bd0a42a3263bc7db8b28a8623abc4433bf17c4d48da21e9984bab2ea1c\",0,\"inequalities_607602\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007358.lean\",\"30fc01138c04f237feca60e1de0743894903285d2e7ebc94958e692546dc89a8\",0,\"inequalities_618378\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007359.lean\",\"a7a448289c8889b5777d48fb40254a6ca7bbd158780cbb6fd7d830f97d396035\",0,\"algebra_13164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158912,
+      "path": "data/train/p0f/numina-001471-0000-e3ecb61016d7e488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e3ecb61016d7e488e8fed4977a9f68bb6f67ed8426740ca6e5523a5b0f528e67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001472.json b/manifests/batches/numina/001472.json
index 7c6ef304614cf2cce9975df762f170a502e987cf..befbeca96d2770e8addc4ba7661b4db744687d60 100644
--- a/manifests/batches/numina/001472.json
+++ b/manifests/batches/numina/001472.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001472",
   "batch_fingerprint": "bf57d69dba51b9c95ee5baefcf7328ae1b38c0106c6a373fb8e94acf2e613b2b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001472-0000-72e5ec7da84577d3.parquet",
-      "sha256": "72e5ec7da84577d35880aaf9666fb5d68c13c1d54d9d368668c1da10e76a1351",
-      "bytes": 193664,
-      "rows": 24,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/numina-001472-0000-ef27a0460460a33a.parquet",
-      "sha256": "ef27a0460460a33a191401778d2b5c27259af483c2bd7d6909f946f042b69c5e",
-      "bytes": 198461,
-      "rows": 23,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1be83995-a045-509c-bb10-4a58fc239f09",
     "numina:7099cf8f-4fef-58d4-aff1-186d13ff376c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007362.lean\",\"f49b25c9c50553510e218e5695ef12b952ec7c05f32c169ea4ddffae6ece4a8a\",0,\"algebra_97791\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007363.lean\",\"1ce2377a78df92e737a1a7c9795ee00093a382f598ab89f17b3a9d24ef4f1d84\",0,\"inequalities_607468\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007364.lean\",\"a0c69205e021411fffb779f7ca38ecc52558772092203ea03f4ea4b32331193f\",0,\"algebra_618628\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193664,
+      "path": "data/train/p2b/numina-001472-0000-72e5ec7da84577d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "72e5ec7da84577d35880aaf9666fb5d68c13c1d54d9d368668c1da10e76a1351"
+    },
+    {
+      "bytes": 198461,
+      "path": "data/internal_test/p2b/numina-001472-0000-ef27a0460460a33a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ef27a0460460a33a191401778d2b5c27259af483c2bd7d6909f946f042b69c5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001473.json b/manifests/batches/numina/001473.json
index 2570f21ff5d049487a55b46a405b028292cddf25..faa0cd71df279a0dfa6e0888acb995caca0cfdcc 100644
--- a/manifests/batches/numina/001473.json
+++ b/manifests/batches/numina/001473.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001473",
   "batch_fingerprint": "f5c96871aa2afb46eed6152f93610930efb3dd9cc42da5644b025dbab6e1d959",
   "evidence": {
@@ -27,29 +26,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001473-0000-ea2c57503e21e03d.parquet",
-      "sha256": "ea2c57503e21e03d0374d4510b0d170c3b609ca2e2d7a15d10f534d7a26ea225",
-      "bytes": 492947,
-      "rows": 12,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/train/numina-001473-0001-a1e2ca7ffafe6abd.parquet",
-      "sha256": "a1e2ca7ffafe6abd4119103c45345789955c4e1a925f3c2383227c9e7a0e7ac6",
-      "bytes": 853707,
-      "rows": 6,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    },
-    {
-      "path": "data/train/numina-001473-0002-f78578577ff8ecfc.parquet",
-      "sha256": "f78578577ff8ecfc3ce52cf21a3c440e3e0dd447ef6a5cb57aa37a048d5c8d8c",
-      "bytes": 547443,
-      "rows": 39,
-      "revision": "f1c4267e34da078b78d765b6593fa0e500e6d1ec"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:093e8d88-7b52-5c3b-a947-590f1e25169b",
     "numina:14cf9969-a95b-51ab-94d8-f7ac5e12df92",
@@ -63,5 +40,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007367.lean\",\"27c39da7f894e6e952717d879ddc35a6eeb03adc76a535ab9c90240ebdae8967\",0,\"inequalities_61617\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007368.lean\",\"6a5f221358f66729d48c0892e97ea510440dba06d0c7b015db420a95029f3f21\",0,\"number_theory_256574\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007369.lean\",\"2c81900497c97d8234583872b22bc2d57ed8af71c487ca7a4b028d93cf2ad009\",0,\"algebra_134445\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492947,
+      "path": "data/train/p90/numina-001473-0000-ea2c57503e21e03d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ea2c57503e21e03d0374d4510b0d170c3b609ca2e2d7a15d10f534d7a26ea225"
+    },
+    {
+      "bytes": 853707,
+      "path": "data/train/p90/numina-001473-0001-a1e2ca7ffafe6abd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a1e2ca7ffafe6abd4119103c45345789955c4e1a925f3c2383227c9e7a0e7ac6"
+    },
+    {
+      "bytes": 547443,
+      "path": "data/train/p90/numina-001473-0002-f78578577ff8ecfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "f78578577ff8ecfc3ce52cf21a3c440e3e0dd447ef6a5cb57aa37a048d5c8d8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001474.json b/manifests/batches/numina/001474.json
index 4806b7a293fae7c3386700ce9acf15bb740c21a2..69a36edba211a426f1ca4b4270b7d1d6e4380025 100644
--- a/manifests/batches/numina/001474.json
+++ b/manifests/batches/numina/001474.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001474",
   "batch_fingerprint": "ab844af25e680dbf7c88ce818df3956a9b29540ed39fb8f2094706e0526e1ecf",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001474-0000-28337bff780dc5e2.parquet",
-      "sha256": "28337bff780dc5e28d437dc0b3d641484bb38fb9d7928e0e10b020a7a20f024c",
-      "bytes": 335629,
-      "rows": 40,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2e4d1862-5bf4-5126-b815-00717ea1d108",
     "numina:3949d68e-ba11-54e4-bf93-4b2193d64564",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007372.lean\",\"b082bd2d535dad4cfa199155790dbb83baa9f47209d1fbf51bbd034c6d79ebc3\",0,\"algebra_232861\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007373.lean\",\"786adbf0480bf8b771e77261d20eafcb3483aef98ddcefddc08cea5e1c5e4bed\",0,\"algebra_19551\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007374.lean\",\"6432da79e088718e5aa2c7830f0524480f88867edd893457875f420d6d575bba\",0,\"number_theory_97806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335629,
+      "path": "data/train/pe0/numina-001474-0000-28337bff780dc5e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "28337bff780dc5e28d437dc0b3d641484bb38fb9d7928e0e10b020a7a20f024c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001475.json b/manifests/batches/numina/001475.json
index eafb631ab26bf9e160eb5005342498ec41b12942..05ee827d8b1b79145dfe90274c0125a1787db93d 100644
--- a/manifests/batches/numina/001475.json
+++ b/manifests/batches/numina/001475.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001475",
   "batch_fingerprint": "6f6b65c3b71fbb493f4c7583ada46dfa344c0f28cdffb5e26499478ef12416dd",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001475-0000-72d8e8d05dabba44.parquet",
-      "sha256": "72d8e8d05dabba44dcefbb0e0fa5fa1a10bd81452431145feb71c5dad7329e4a",
-      "bytes": 312547,
-      "rows": 55,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/numina-001475-0000-b8eeac8e664c3b36.parquet",
-      "sha256": "b8eeac8e664c3b36dbf878134ba58ea89f426469ed70b32474b21b5fd4e29358",
-      "bytes": 93225,
-      "rows": 7,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/numina-001475-0000-404a4e86535d9412.parquet",
-      "sha256": "404a4e86535d9412f4b72de09675a40557b38dc202c527fce6d77c5f6bf82322",
-      "bytes": 31168,
-      "rows": 1,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bdfb703-d138-5a06-90c9-36e9a3cfcc9f",
     "numina:0d17e1c3-cf6e-5204-8297-95f6fd36717d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007377.lean\",\"74ec79d85d145a351559a47f08783b9c29f1bb2c3b17e10923c02155cd968d57\",0,\"algebra_246806\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007378.lean\",\"65984660b40003c86df454ff31a8121e318406cfdf7f7ee45ff27223f10e9f05\",0,\"inequalities_45118\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007379.lean\",\"366d126857f6d352128b4c6d10607368f1bb94ebfab0e88545472d9ccffe3556\",0,\"number_theory_172704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312547,
+      "path": "data/train/p33/numina-001475-0000-72d8e8d05dabba44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 55,
+      "sha256": "72d8e8d05dabba44dcefbb0e0fa5fa1a10bd81452431145feb71c5dad7329e4a"
+    },
+    {
+      "bytes": 93225,
+      "path": "data/dev/p33/numina-001475-0000-b8eeac8e664c3b36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b8eeac8e664c3b36dbf878134ba58ea89f426469ed70b32474b21b5fd4e29358"
+    },
+    {
+      "bytes": 31168,
+      "path": "data/internal_test/p33/numina-001475-0000-404a4e86535d9412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "404a4e86535d9412f4b72de09675a40557b38dc202c527fce6d77c5f6bf82322"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001476.json b/manifests/batches/numina/001476.json
index cd427be18d0709726f71ae0bb565d99b2bd7e609..c05fb088327f7c71f07dcc069d88e1abd6aed010 100644
--- a/manifests/batches/numina/001476.json
+++ b/manifests/batches/numina/001476.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001476",
   "batch_fingerprint": "c8006e89288677e5d0efc042bdfb869166b1e3effab7f434047be12b52a3d5b3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001476-0000-f03e4cf279dcec89.parquet",
-      "sha256": "f03e4cf279dcec89d0dea33e03c6bf89e72fa82363534d1db167f40d706e4b1d",
-      "bytes": 296958,
-      "rows": 36,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/dev/numina-001476-0000-082009264860c80f.parquet",
-      "sha256": "082009264860c80fa0c7bb8391e7ac581c91453fb0888b1384e5f7f26c88cc8e",
-      "bytes": 68066,
-      "rows": 4,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:b042f469-2c60-5d26-865c-fea5bbe9b5e9",
     "numina:c8f98e90-0f99-5e6f-b7cd-0760da798c18",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007382.lean\",\"df98d26ac775553b03f690378b40fb4f208754151c79ccf84e927db0cd286eca\",0,\"number_theory_19553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007383.lean\",\"6fee48b3bbaa68c7eb85172d62e50812e4675e1fd58005505a7b394700e5768f\",0,\"algebra_97810\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007384.lean\",\"c3102446d52ce17ed20ba4e5c586ae973d535d2e595aed6057019e28e13b7865\",0,\"algebra_611164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296958,
+      "path": "data/train/p9e/numina-001476-0000-f03e4cf279dcec89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "f03e4cf279dcec89d0dea33e03c6bf89e72fa82363534d1db167f40d706e4b1d"
+    },
+    {
+      "bytes": 68066,
+      "path": "data/dev/p9e/numina-001476-0000-082009264860c80f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "082009264860c80fa0c7bb8391e7ac581c91453fb0888b1384e5f7f26c88cc8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001477.json b/manifests/batches/numina/001477.json
index 6fac13804c48cbd4a543ccfc7884415c3de0ab07..c950edbb8dcccd0d77c00653e3f30bb55d09ae7e 100644
--- a/manifests/batches/numina/001477.json
+++ b/manifests/batches/numina/001477.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001477",
   "batch_fingerprint": "ec5e8b1a0d964f2ac56987c412baf361df75e8bff3ee86fc730ebf8af3127064",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001477-0000-fbfab680e37eda95.parquet",
-      "sha256": "fbfab680e37eda95162b37bd48de9c0517b847fce1d6874e1ae28f9b5a02cd5c",
-      "bytes": 343300,
-      "rows": 14,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    },
-    {
-      "path": "data/internal_test/numina-001477-0000-08df06c13714872e.parquet",
-      "sha256": "08df06c13714872ebff507ac807dfda43aa9d652f7ea2eb4a4e9e085203ab042",
-      "bytes": 33902,
-      "rows": 3,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47fc5e13-f54a-55e4-85b7-af3dd92660a4",
     "numina:9a445e92-7566-5386-8027-2fe62843df17",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007387.lean\",\"567927bf1251f23279b06cfcf9e671eb305b279c17bc4bfbda77258412dd2f04\",0,\"algebra_134693\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007388.lean\",\"4f3907b88e114fe8af9f66dfbfe75774e3467b2a42698506be22dac6bc512951\",0,\"algebra_9277\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007389.lean\",\"4726c7ad3d8eab273652c656293cbe6a54d04674cd2e14a2d9e453ec4ddb9a3f\",0,\"number_theory_241034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343300,
+      "path": "data/train/pe1/numina-001477-0000-fbfab680e37eda95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fbfab680e37eda95162b37bd48de9c0517b847fce1d6874e1ae28f9b5a02cd5c"
+    },
+    {
+      "bytes": 33902,
+      "path": "data/internal_test/pe1/numina-001477-0000-08df06c13714872e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "08df06c13714872ebff507ac807dfda43aa9d652f7ea2eb4a4e9e085203ab042"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001478.json b/manifests/batches/numina/001478.json
index 6037a2cd5319af33731429068605c314ba0c7afe..1002a585c8ed35393d230f08940e33d13f40c1b3 100644
--- a/manifests/batches/numina/001478.json
+++ b/manifests/batches/numina/001478.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001478",
   "batch_fingerprint": "7e47ff00fc4934e899daa8ea288f8d340064151504a864b3418d5b347e30ebf6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001478-0000-43c15349ba062b62.parquet",
-      "sha256": "43c15349ba062b6244a72517f9a565cb658dcd00067c1b327200cb8b043b1525",
-      "bytes": 589896,
-      "rows": 52,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:162dda01-0d74-5fb3-a4b8-2eb5abc518b4",
     "numina:180050f6-8bd2-50a0-a9d6-0213b3fe7e49",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007392.lean\",\"33a3e50ea3234a219cb22a25e795b4f6f629adc135cfffdefe814261440af3cf\",0,\"algebra_607472\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007393.lean\",\"8495d8788b1a30ef8782071c195b5e44764f815a379ad572399a8b197828c574\",0,\"number_theory_611167\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007394.lean\",\"444f8f3d6346326c28c521368384fb32a95acf3b2f141813b542070cf746e519\",0,\"number_theory_251614\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589896,
+      "path": "data/train/p17/numina-001478-0000-43c15349ba062b62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "43c15349ba062b6244a72517f9a565cb658dcd00067c1b327200cb8b043b1525"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001479.json b/manifests/batches/numina/001479.json
index 8959ba6abfa464da61dc4896124e216081389207..86470b982b8e39a50c7067f60f20a6250f46dbae 100644
--- a/manifests/batches/numina/001479.json
+++ b/manifests/batches/numina/001479.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001479",
   "batch_fingerprint": "c9b5277da1d4f28c1b97fdf58bbf27c667c81cc210028afe4283a2019a1df93d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001479-0000-7cbca8888e2d30ef.parquet",
-      "sha256": "7cbca8888e2d30ef7065150a64084f5b550b82c9df638b16e7340d64b014e55d",
-      "bytes": 283828,
-      "rows": 48,
-      "revision": "22515991803e73ecc3c0bc878466a6d683e86be7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a110f77-9283-5fff-96a0-d80a4a5d4d21",
     "numina:1744b787-010a-57a2-a6d9-8443cb5ab6bb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007397.lean\",\"6dab5fd83e7c1763c6405637a3a6e8f12572282c76355091c7de1778d6588620\",0,\"algebra_9168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007398.lean\",\"9f8558e7078d193db17f6dd48207bdf0ed45582b456a16344f69d3789e07c45b\",0,\"number_theory_287259\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007399.lean\",\"b324c667b591b1ff44cb274ff5e5a493112067240214600124301e91e02e182a\",0,\"number_theory_607363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283828,
+      "path": "data/train/pe0/numina-001479-0000-7cbca8888e2d30ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "7cbca8888e2d30ef7065150a64084f5b550b82c9df638b16e7340d64b014e55d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001480.json b/manifests/batches/numina/001480.json
index 9fba3a34e1437517e6626f1969d5d739678f698c..8de1012149b48872e0d88d8b24639f36c8fdf144 100644
--- a/manifests/batches/numina/001480.json
+++ b/manifests/batches/numina/001480.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001480",
   "batch_fingerprint": "72a2a32b17fe3408ce9ff8517ef521377465e7e69a95020eaa202ea4b0278903",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3dd34db6-0f61-55a2-87b8-fde29cfdfdb7",
+    "numina:4027aca3-7000-557e-a4f2-62626a090941",
+    "numina:751b1be4-5849-5ad9-b936-44115a43b5c6",
+    "numina:843bcd5f-addd-59a4-8c52-ba05c142dfb2",
+    "numina:9c5c9010-d74c-5e5e-960c-4a09a4a2ac3f"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007400.lean\",\"a8bc55135f8389a6f88a613034c70b3ff5c4a762d466f29a0151ab2dea095110\",0,\"algebra_611168\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007401.lean\",\"f038dc3930e2eab7eff7a977ea8f3d4849643d456c4a9532eb77cf2f2b79734f\",0,\"inequalities_604798\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007402.lean\",\"38625e29a516d1e54802df2ad43c1df4c030199fcf025627b38b30e43473a4c9\",0,\"number_theory_191927\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007403.lean\",\"dadc6456d37ba487e2b546986d0738f2d3962dd706cc8fd30ceef185cb63d287\",0,\"algebra_129393\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007404.lean\",\"42140cff82725852e3a1ade075385d6e35b2f7b1d59c43ac3d843dabe8820a7d\",0,\"inequalities_79687\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001480-0000-cf654fc59550ad3e.parquet",
-      "sha256": "cf654fc59550ad3eb5efbf4924e7a5fee8b090c43dc70c6dd02bd197109f88c7",
       "bytes": 255255,
+      "path": "data/train/pb4/numina-001480-0000-cf654fc59550ad3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
+      "sha256": "cf654fc59550ad3eb5efbf4924e7a5fee8b090c43dc70c6dd02bd197109f88c7"
     },
     {
-      "path": "data/dev/numina-001480-0000-f072096f3a52b42f.parquet",
-      "sha256": "f072096f3a52b42f0c30cd9b914b164040fcb3817ba1a4466bbc4b8cecab1f42",
       "bytes": 52012,
+      "path": "data/dev/pb4/numina-001480-0000-f072096f3a52b42f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
+      "sha256": "f072096f3a52b42f0c30cd9b914b164040fcb3817ba1a4466bbc4b8cecab1f42"
     },
     {
-      "path": "data/dev/numina-001480-0001-1ecdea7544700fbb.parquet",
-      "sha256": "1ecdea7544700fbbca128b088ed7a0de56c70e6b79e20901221be628f7bdfcd7",
       "bytes": 1053994,
+      "path": "data/dev/pb4/numina-001480-0001-1ecdea7544700fbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
+      "sha256": "1ecdea7544700fbbca128b088ed7a0de56c70e6b79e20901221be628f7bdfcd7"
     },
     {
-      "path": "data/dev/numina-001480-0002-2a98636953165fdf.parquet",
-      "sha256": "2a98636953165fdfff4a86bfc7df824ef43da8d80124caf89c57fad1772bee42",
       "bytes": 468175,
+      "path": "data/dev/pb4/numina-001480-0002-2a98636953165fdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
+      "sha256": "2a98636953165fdfff4a86bfc7df824ef43da8d80124caf89c57fad1772bee42"
     },
     {
-      "path": "data/internal_test/numina-001480-0000-eea6a8a973766a10.parquet",
-      "sha256": "eea6a8a973766a1041c53e05acaf5158b7eeb9a476c03a6df7077f10e6862152",
       "bytes": 78161,
+      "path": "data/internal_test/pb4/numina-001480-0000-eea6a8a973766a10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
+      "sha256": "eea6a8a973766a1041c53e05acaf5158b7eeb9a476c03a6df7077f10e6862152"
     }
-  ],
-  "proof_ids": [
-    "numina:3dd34db6-0f61-55a2-87b8-fde29cfdfdb7",
-    "numina:4027aca3-7000-557e-a4f2-62626a090941",
-    "numina:751b1be4-5849-5ad9-b936-44115a43b5c6",
-    "numina:843bcd5f-addd-59a4-8c52-ba05c142dfb2",
-    "numina:9c5c9010-d74c-5e5e-960c-4a09a4a2ac3f"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007400.lean\",\"a8bc55135f8389a6f88a613034c70b3ff5c4a762d466f29a0151ab2dea095110\",0,\"algebra_611168\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007401.lean\",\"f038dc3930e2eab7eff7a977ea8f3d4849643d456c4a9532eb77cf2f2b79734f\",0,\"inequalities_604798\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007402.lean\",\"38625e29a516d1e54802df2ad43c1df4c030199fcf025627b38b30e43473a4c9\",0,\"number_theory_191927\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007403.lean\",\"dadc6456d37ba487e2b546986d0738f2d3962dd706cc8fd30ceef185cb63d287\",0,\"algebra_129393\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007404.lean\",\"42140cff82725852e3a1ade075385d6e35b2f7b1d59c43ac3d843dabe8820a7d\",0,\"inequalities_79687\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001481.json b/manifests/batches/numina/001481.json
index e88751dcaaf876b5d98c0f0abef48dfa2df31936..5ada3a68cbc7fe49bd645e2604915f0f17b42364 100644
--- a/manifests/batches/numina/001481.json
+++ b/manifests/batches/numina/001481.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001481",
   "batch_fingerprint": "f12ff46ee3eba13aacf630592813d2d253f580c8128702b64f2626af3f613a98",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001481-0000-3b277f9458ad68b2.parquet",
-      "sha256": "3b277f9458ad68b21f2756e29f7c58771d01e5d8e0189e78e591f0603fb34f48",
-      "bytes": 201732,
-      "rows": 16,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/dev/numina-001481-0000-9016d9ba0b688e9b.parquet",
-      "sha256": "9016d9ba0b688e9b5c763c31dc705159bd4af43cad3ec4411f92463516fee6c8",
-      "bytes": 64470,
-      "rows": 6,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1356d3a6-113b-53dc-bd11-461fe7923419",
     "numina:4debfe05-d174-5ed1-b8d0-9512ab8c8fed",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007407.lean\",\"46e0a5ebb44abc177346c4c8531b02f9fcd35f460885c799c1c814eb5886eb1f\",0,\"algebra_1182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007408.lean\",\"81a0516674cbdcf72d0204a232133132302d151cf9860aec748a21c152f27722\",0,\"algebra_19710\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007409.lean\",\"2e428c22fec4e792d278214ac88bee5178a9044be95d0d5ca5efd713eef74b47\",0,\"inequalities_607366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201732,
+      "path": "data/train/pb0/numina-001481-0000-3b277f9458ad68b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3b277f9458ad68b21f2756e29f7c58771d01e5d8e0189e78e591f0603fb34f48"
+    },
+    {
+      "bytes": 64470,
+      "path": "data/dev/pb0/numina-001481-0000-9016d9ba0b688e9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9016d9ba0b688e9b5c763c31dc705159bd4af43cad3ec4411f92463516fee6c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001482.json b/manifests/batches/numina/001482.json
index 683df151386cf6a9754ce8e587ebdfa96f84cd1b..1346a66a9823010f9670539d375269a4a0e6699a 100644
--- a/manifests/batches/numina/001482.json
+++ b/manifests/batches/numina/001482.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001482",
   "batch_fingerprint": "f163907aa2c099f5bba896208df152e2850df0e5c7b097ccabc69e31d37d65b3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001482-0000-30b4ca28a869e3b4.parquet",
-      "sha256": "30b4ca28a869e3b4912738b028d14dc7120754e8ecd38a6f8998313f35ebd491",
-      "bytes": 659210,
-      "rows": 53,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/dev/numina-001482-0000-288b52811bb1588a.parquet",
-      "sha256": "288b52811bb1588aeb8d60848c58f392876a684f3f81903d744df5a9ae5b2245",
-      "bytes": 247503,
-      "rows": 3,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/numina-001482-0000-7921db790362a3ea.parquet",
-      "sha256": "7921db790362a3ea18e8d553616b3a015e1bd7db0242e21a0c0bd8f5f0b85e85",
-      "bytes": 112797,
-      "rows": 4,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1184f5be-f45e-5dc5-b281-c61eb43afba2",
     "numina:88721c33-2052-50ba-b4eb-84f7458532cb",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007412.lean\",\"ffe96e07dc3dbb2ee257d7ce6d3cfdf96e74057d27e4f4f16b9ca70caba6d190\",0,\"number_theory_241072\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007413.lean\",\"5af835afb187590d2398d688356924fe3420f345f166bb70b5e3431f544fcf22\",0,\"algebra_96906\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007414.lean\",\"708b402a25420e441d33dbf2ca368688a7217bd9d079655cab6d215eb8ae0552\",0,\"algebra_607367\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 659210,
+      "path": "data/train/pbd/numina-001482-0000-30b4ca28a869e3b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "30b4ca28a869e3b4912738b028d14dc7120754e8ecd38a6f8998313f35ebd491"
+    },
+    {
+      "bytes": 247503,
+      "path": "data/dev/pbd/numina-001482-0000-288b52811bb1588a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "288b52811bb1588aeb8d60848c58f392876a684f3f81903d744df5a9ae5b2245"
+    },
+    {
+      "bytes": 112797,
+      "path": "data/internal_test/pbd/numina-001482-0000-7921db790362a3ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7921db790362a3ea18e8d553616b3a015e1bd7db0242e21a0c0bd8f5f0b85e85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001483.json b/manifests/batches/numina/001483.json
index 751ae1763ca9e9eb9b1a2dc799775eca1d60a125..c2b8ab53c030f34dddf6b7c5be1ccd10689f4b68 100644
--- a/manifests/batches/numina/001483.json
+++ b/manifests/batches/numina/001483.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001483",
   "batch_fingerprint": "c01fb106bd3c59dc793a6113370b969c615b7e10d603a17e3e965f74829112c0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001483-0000-03bd1ed0d24e50a2.parquet",
-      "sha256": "03bd1ed0d24e50a290a24df91f9f79b75ced3d7127c9f251e67fdd22d9efa6e4",
-      "bytes": 538260,
-      "rows": 76,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/internal_test/numina-001483-0000-a6d1bb455b168c51.parquet",
-      "sha256": "a6d1bb455b168c510566cf779a507628aaa8109d6f5ca304c7385816808d509c",
-      "bytes": 42630,
-      "rows": 4,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a442226-c02a-5d8a-96a6-2b99c870960e",
     "numina:6425fc67-a2f7-57b8-8ac4-de4c44f415b0",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007418.lean\",\"5d8cc1777f40b4e52c5573547a1912cc323bb32813d88df00bb437074f275dda\",0,\"inequalites_92859\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007419.lean\",\"80034bbba91f19ff86e9572cf14b3d0abdf22bc797eafb3095a7737e0fe38ee5\",0,\"algebra_9231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 538260,
+      "path": "data/train/p55/numina-001483-0000-03bd1ed0d24e50a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 76,
+      "sha256": "03bd1ed0d24e50a290a24df91f9f79b75ced3d7127c9f251e67fdd22d9efa6e4"
+    },
+    {
+      "bytes": 42630,
+      "path": "data/internal_test/p55/numina-001483-0000-a6d1bb455b168c51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a6d1bb455b168c510566cf779a507628aaa8109d6f5ca304c7385816808d509c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001484.json b/manifests/batches/numina/001484.json
index 36329c1f85d21bc0f774e59f15c6d1fe08d03082..b823cc5be4f071145bf77d594fa2ad45371410f3 100644
--- a/manifests/batches/numina/001484.json
+++ b/manifests/batches/numina/001484.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001484",
   "batch_fingerprint": "33ff2ebcae9428fdb5e17a359dce49417a72534e56bc43feb388d1bc883304e9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001484-0000-94834af2aa7b3ade.parquet",
-      "sha256": "94834af2aa7b3adea063ed86d7c382ef52a43fa33da37fbbd8dca59942a1f0a3",
-      "bytes": 221390,
-      "rows": 19,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    },
-    {
-      "path": "data/internal_test/numina-001484-0000-d2fad7c499d39230.parquet",
-      "sha256": "d2fad7c499d39230e76163ce0ca64aa9f08a275195a63927b0fad9c68242ee3f",
-      "bytes": 122873,
-      "rows": 21,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e1363ae-e128-5be0-b6c8-f68e1c4dfd06",
     "numina:3a87aeb7-343e-57af-9f30-b16aa5d7ef2a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007422.lean\",\"e95caec3be6e86d3d7614df36aa7f7777a90cd62b4dc3783038b865c8c722dc2\",0,\"algebra_98311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007423.lean\",\"a467fc23e3616e311785625ae410ae8989eec8031ec9d502df180f73e35b6e0c\",0,\"algebra_287434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007424.lean\",\"454d1f527778e52357ab502427b6195209c4042287ec9738c46ee8dbf5be6b5f\",0,\"number_theory_607816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221390,
+      "path": "data/train/p30/numina-001484-0000-94834af2aa7b3ade.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "94834af2aa7b3adea063ed86d7c382ef52a43fa33da37fbbd8dca59942a1f0a3"
+    },
+    {
+      "bytes": 122873,
+      "path": "data/internal_test/p30/numina-001484-0000-d2fad7c499d39230.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d2fad7c499d39230e76163ce0ca64aa9f08a275195a63927b0fad9c68242ee3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001485.json b/manifests/batches/numina/001485.json
index b1c2508b6d3b974ebed27a00f35c9f46c655ce3c..459d1fec4b0e7c3febd5b5c813df0cc56120eede 100644
--- a/manifests/batches/numina/001485.json
+++ b/manifests/batches/numina/001485.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001485",
   "batch_fingerprint": "3916fc3e33ffb87bb64f51478bc7d206d0298d340ce69e001359f3752a0b11fe",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001485-0000-1e8ced64b8630b06.parquet",
-      "sha256": "1e8ced64b8630b06fe5e205eafeeb1474b6aede475f62d55445a84d9c7f37131",
-      "bytes": 330682,
-      "rows": 30,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34adabb9-db3c-551b-87a9-6e4a8cbecb3a",
     "numina:5a07ee50-435a-5789-a0e4-b73e53ba7704",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007427.lean\",\"97979e6995c531d3ce9800809951c3b06db658521d35580c114a507ffcdf992a\",0,\"number_theory_240895\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007428.lean\",\"f5d9c88871c7d5cd58868e4cac101ef1cc638011ee5a9d43f6d67d4d3672ff9b\",0,\"inequalities_33322\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007429.lean\",\"36783fddfb48f79f12039a2cc205c9fd899ab425e77f2d72c046ade33cae1892\",0,\"algebra_172407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330682,
+      "path": "data/train/p27/numina-001485-0000-1e8ced64b8630b06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "1e8ced64b8630b06fe5e205eafeeb1474b6aede475f62d55445a84d9c7f37131"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001486.json b/manifests/batches/numina/001486.json
index 2939fa3338fcea6906480576bda428b45a5a7d05..cb05804144b7a0e3195ded03416cc60b964e869a 100644
--- a/manifests/batches/numina/001486.json
+++ b/manifests/batches/numina/001486.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001486",
   "batch_fingerprint": "f5798bed42d32076cffbcef565c4159dda353ab843c78eefdba1a521e7a72de0",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001486-0000-211700be608d9ed8.parquet",
-      "sha256": "211700be608d9ed8d8f7eb92cfdcb1da4093862829b934246e8e9111723b4e0b",
-      "bytes": 335888,
-      "rows": 41,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26838677-79f9-522d-aa75-7b613beedbd0",
     "numina:468d362b-50eb-5584-abdb-872f4366a3f0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007432.lean\",\"2427c865f5217f15cbbf535e41d0cc7f93048d8f0fee88bff8159be13a24408c\",0,\"algebra_21750\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007433.lean\",\"16b7e21749e9ba7b445d98c98511840970ad2b750d51319bd08f4c7138fc85f0\",0,\"inequalities_241100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007434.lean\",\"3d718bfee28bd38595b387cfd7f4c37ecc60b4cda2b65e31b20cd61ff59fb919\",0,\"algebra_98320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335888,
+      "path": "data/train/p10/numina-001486-0000-211700be608d9ed8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "211700be608d9ed8d8f7eb92cfdcb1da4093862829b934246e8e9111723b4e0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001487.json b/manifests/batches/numina/001487.json
index 3a81c5d1434bc1617ed8c13602ceea6eb8521156..3556bf49bc68f171105abfa7a4625a11a6f9e00b 100644
--- a/manifests/batches/numina/001487.json
+++ b/manifests/batches/numina/001487.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001487",
   "batch_fingerprint": "cc1310b98477dc21a3d9a85125df93e5b37ecea2d4f5946661cf29bc30061ce3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001487-0000-faa2516880e4871b.parquet",
-      "sha256": "faa2516880e4871b5f352426fc30d0df350cab24864988c5f603bf98738cfa45",
-      "bytes": 371606,
-      "rows": 9,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/internal_test/numina-001487-0000-ddc976ee8a3b422b.parquet",
-      "sha256": "ddc976ee8a3b422b117d95dab5894d8a8ae1563f3644d9fd33de80782e778358",
-      "bytes": 405467,
-      "rows": 6,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13f87478-539f-5329-89ea-07b2b431934c",
     "numina:2f3c178b-f095-5e8c-ada6-88c7d27094c8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007437.lean\",\"57c2dff3382909f1006ded0e8c2698937fd203d0413ac2962784a48ab1a1e68a\",0,\"algebra_257337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007438.lean\",\"aaf3787cb0309be1da55e9b7a92673b779cc93356660d44511b9e7112a57b860\",0,\"algebra_21752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007439.lean\",\"3470a57033427b4eb0bf04fce1cffb846c4a7f2f9be5e1cb16f5485137f4e367\",0,\"algebra_241101\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371606,
+      "path": "data/train/p5b/numina-001487-0000-faa2516880e4871b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "faa2516880e4871b5f352426fc30d0df350cab24864988c5f603bf98738cfa45"
+    },
+    {
+      "bytes": 405467,
+      "path": "data/internal_test/p5b/numina-001487-0000-ddc976ee8a3b422b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ddc976ee8a3b422b117d95dab5894d8a8ae1563f3644d9fd33de80782e778358"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001488.json b/manifests/batches/numina/001488.json
index 1bbe5da44ed36aa5cde19a20e39327909bf04454..48ffcfc05418fca159f3595b26b8fb655954e0d8 100644
--- a/manifests/batches/numina/001488.json
+++ b/manifests/batches/numina/001488.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001488",
   "batch_fingerprint": "592189b7f6c90d5959165f62088302fcba963f6655cb743350d582bb147d6ed8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001488-0000-74741a9bbacb9076.parquet",
-      "sha256": "74741a9bbacb90765c8aa1a3ef16e1aea588bd1d455d9031bd405c035ace6d59",
-      "bytes": 816271,
-      "rows": 35,
-      "revision": "a498fa87b358e6eb392b8a125474b05531d1b03e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5b7c495d-eeee-506a-887a-155ebbdc263d",
     "numina:6a43f3ca-3cda-529e-be4f-a413e750cdf1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007442.lean\",\"6a860f368c38d8645877cc051e65aad0d528a2240c16fbabdbd7ef5077292ff9\",0,\"inequalities_309212\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007443.lean\",\"5f8512cf6d91cc18c71dabb312f8e026e79b3db4a6584fc113be6aab83f2874e\",0,\"algebra_20143\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007444.lean\",\"2d63455d37443c15b9bdbf975c1fbe77dfe02591c11e38cba547b9a8e9a35960\",0,\"Number_theory_611037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 816271,
+      "path": "data/train/pc2/numina-001488-0000-74741a9bbacb9076.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "74741a9bbacb90765c8aa1a3ef16e1aea588bd1d455d9031bd405c035ace6d59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001489.json b/manifests/batches/numina/001489.json
index ae75cb826bc985ce0fa0346f330963cad49cfdc5..5531c006ecc624249fb1ba915a1877440a8f48da 100644
--- a/manifests/batches/numina/001489.json
+++ b/manifests/batches/numina/001489.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001489",
   "batch_fingerprint": "c6fd1fefdf01c2d2615d9367e67a13f7a3715f3abc21042c176548c0e49f6b8c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001489-0000-aed6e99425de1efd.parquet",
-      "sha256": "aed6e99425de1efd407a45278d1dc06a1adfa9ebb7005f3bb5222097161f3765",
-      "bytes": 592345,
-      "rows": 33,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    },
-    {
-      "path": "data/train/numina-001489-0001-0b51b37000f98aae.parquet",
-      "sha256": "0b51b37000f98aae58e4a600b99667bf8173e6d7d5b40974c173e21a06362fef",
-      "bytes": 73473,
-      "rows": 6,
-      "revision": "d5f98917f4c20ff43c511c3fbb21ae8ad7d109c9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13f5b5a0-1d90-5a67-8bd7-a0906147af13",
     "numina:2365d5ee-baf7-5848-a279-26d30dc76aa5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007447.lean\",\"e5e0f0ff4bb899f24b5f946fcf5dbec6074a42bee19b341d7e9f385295085123\",0,\"algebra_230306\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007448.lean\",\"5b333ea7fdc8e489e3923be6960534f68f26ec00c956fb0047956808e1e5750b\",0,\"number_theory_12178\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007449.lean\",\"9f4156b64c1e221c484d575900fec25ff9a9d03df67761acb1e94f0e8388a075\",0,\"algebra_172724\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592345,
+      "path": "data/train/pab/numina-001489-0000-aed6e99425de1efd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "aed6e99425de1efd407a45278d1dc06a1adfa9ebb7005f3bb5222097161f3765"
+    },
+    {
+      "bytes": 73473,
+      "path": "data/train/pab/numina-001489-0001-0b51b37000f98aae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0b51b37000f98aae58e4a600b99667bf8173e6d7d5b40974c173e21a06362fef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001490.json b/manifests/batches/numina/001490.json
index 9fde31d9b11816d6ddd0358ce112a63fb6582ced..ee9d4527f36a98dd0bf4acb78b1e0b05f0b12ede 100644
--- a/manifests/batches/numina/001490.json
+++ b/manifests/batches/numina/001490.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001490",
   "batch_fingerprint": "91d8992dc3533b94271c4ff491bc90090ea6d847f8beb9ab79d4a6c09ee2ce52",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001490-0000-fbf31211b6267313.parquet",
-      "sha256": "fbf31211b6267313741619bf3d56030efd9842fdea910292a775446de79f65dd",
-      "bytes": 77146,
-      "rows": 17,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/dev/numina-001490-0000-f71234c01ea9cf3c.parquet",
-      "sha256": "f71234c01ea9cf3c694f3e0cb578cb9349f70a8b2c7194399276776144c42ab2",
-      "bytes": 230261,
-      "rows": 15,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e24e6cc-7d5a-5f7d-b550-271995c41075",
     "numina:9ea28b25-e45d-5996-bdce-757941189521",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007451.lean\",\"8a384bb3f09a2cc51984553002ca1a4879a5db32b18ba52f7555cde0b339dd0e\",0,\"algebra_96787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007452.lean\",\"0a0e4dbf0a2d0c24f7fdf615342ac69e5d4ff51dfe402b1aa63cb7598fd62c57\",0,\"algebra_9236\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007453.lean\",\"c216df192b3747943da42aef08dc15806b9bfc2148d0f4fe1fc3a93c9510d4e1\",0,\"inequalities_309425\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77146,
+      "path": "data/train/p75/numina-001490-0000-fbf31211b6267313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fbf31211b6267313741619bf3d56030efd9842fdea910292a775446de79f65dd"
+    },
+    {
+      "bytes": 230261,
+      "path": "data/dev/p75/numina-001490-0000-f71234c01ea9cf3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f71234c01ea9cf3c694f3e0cb578cb9349f70a8b2c7194399276776144c42ab2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001491.json b/manifests/batches/numina/001491.json
index 1968296b2a9e2badaf4e37e5d5bdc76c13be1925..12755bd095e2fc11c43b7bb5ce521c03843f338e 100644
--- a/manifests/batches/numina/001491.json
+++ b/manifests/batches/numina/001491.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001491",
   "batch_fingerprint": "cb517fefee06c53d2e470f786de506e14cfbea9117a594831737efce28992b5c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001491-0000-394f72b2732f8611.parquet",
-      "sha256": "394f72b2732f8611122fa756414e0ea576758f05dd6b733b2e188cb57ef4e636",
-      "bytes": 213600,
-      "rows": 11,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/numina-001491-0000-5af2e80cdd1acb5c.parquet",
-      "sha256": "5af2e80cdd1acb5cb1a925cc43cea39030f20f7420663b345f624adf0871f1aa",
-      "bytes": 181503,
-      "rows": 13,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41dc1a27-c293-5319-9279-edddf43947f2",
     "numina:587bb54c-6ca2-5e00-9f36-ad503760485e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007457.lean\",\"a747d5c4dbc3f78fc163924bda5eeecf4325aabfc3c5116802f10512fa339fca\",0,\"number_theory_96796\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007458.lean\",\"f52189fb39e4eb234cdcc70af1a3cf3773d7a75c3288868d630c36be87168364\",0,\"algebra_309524\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007459.lean\",\"1161df31c38f2a616002236d6f81362a45b58ba8054fedca5b639029fe599075\",0,\"algebra_9237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213600,
+      "path": "data/train/p7e/numina-001491-0000-394f72b2732f8611.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "394f72b2732f8611122fa756414e0ea576758f05dd6b733b2e188cb57ef4e636"
+    },
+    {
+      "bytes": 181503,
+      "path": "data/internal_test/p7e/numina-001491-0000-5af2e80cdd1acb5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5af2e80cdd1acb5cb1a925cc43cea39030f20f7420663b345f624adf0871f1aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001492.json b/manifests/batches/numina/001492.json
index 416e50d4b95808d6d459ea348105d258e014f7cf..d0f812a8d30fadcda36402e8f6f6b167fbdc6f2a 100644
--- a/manifests/batches/numina/001492.json
+++ b/manifests/batches/numina/001492.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001492",
   "batch_fingerprint": "4a48ea66f1edba95d30360e26a94b07028ff2ce1cb5ece7a020442c841cd42bc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001492-0000-0f266e4edcc7d18a.parquet",
-      "sha256": "0f266e4edcc7d18a60d139fb33ea0f3f7676d219238d0b1d35870d88a731f01b",
-      "bytes": 198476,
-      "rows": 26,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1bb6b6fd-8005-5fc0-a14a-56f76db2e4dd",
     "numina:272a7766-dfb3-5f83-ad99-ae6ee9402d64",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007462.lean\",\"eea0100d19a185035a60057b4e4d1cd5274e2ca41e9efdd785d1e3a63b1b461a\",0,\"number_theory_170899\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007463.lean\",\"9af78314c872148d39aad2044a46695d787bf9dad71b984c1161d237d495ad63\",0,\"algebra_126815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007464.lean\",\"4b9cbd1810c0f6205db1e943a71c6ba81765397578b803690e4b62492297540e\",0,\"algebra_97764\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198476,
+      "path": "data/train/p6b/numina-001492-0000-0f266e4edcc7d18a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "0f266e4edcc7d18a60d139fb33ea0f3f7676d219238d0b1d35870d88a731f01b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001493.json b/manifests/batches/numina/001493.json
index 053ef22dbf957ff8b70fc29e322a0d207e360efd..643656421237bf05460c546ff1112aa130a9a2ec 100644
--- a/manifests/batches/numina/001493.json
+++ b/manifests/batches/numina/001493.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001493",
   "batch_fingerprint": "589acd26ce34289611f77d87aa10dd0090c43d9eaf50b9f12c0bd81378f1a58c",
   "evidence": {
@@ -49,39 +48,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:891d60b6-4af5-51fd-92ab-e9628dcb1b5d",
+    "numina:bff7df0b-da06-5014-ade8-05e342845663",
+    "numina:c4a446c4-072f-5542-94cb-897a96abef3b",
+    "numina:d1001904-d13d-5cdc-a37e-a1a70657c143"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007465.lean\",\"3e0770317984e9f51194c7e9f238c6d78e423cac1819e5951832a68b24693ea3\",0,\"number_theory_309838\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007466.lean\",\"8c18838db0d9fa33b50a3a31e0de207fa249d477367b0770ddb23bd057d8842e\",0,\"algebra_221516\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007467.lean\",\"7bc6c043064cd7d4c8918c055af097edc61437a647566e9419b7432747cc58bc\",0,\"algebra_9267\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007469.lean\",\"48643bfa4e358d3ca1f3d20cbbd0f9243bb77dd210df2655acef2618eb65ef50\",0,\"number_theory_610762\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001493-0000-95fcadd001aca6d0.parquet",
-      "sha256": "95fcadd001aca6d03e1a24f238ab8c88aa15c0fb1e7b1031b2e55c528644fd76",
       "bytes": 529127,
+      "path": "data/train/p24/numina-001493-0000-95fcadd001aca6d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 85,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
+      "sha256": "95fcadd001aca6d03e1a24f238ab8c88aa15c0fb1e7b1031b2e55c528644fd76"
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     {
-      "path": "data/train/numina-001493-0001-774ccb22d2b4fcf2.parquet",
-      "sha256": "774ccb22d2b4fcf2921ae1156d992849654108e5709e128b1005ec8279a18f83",
       "bytes": 229715,
+      "path": "data/train/p24/numina-001493-0001-774ccb22d2b4fcf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
+      "sha256": "774ccb22d2b4fcf2921ae1156d992849654108e5709e128b1005ec8279a18f83"
     },
     {
-      "path": "data/internal_test/numina-001493-0000-180c8c44e369b349.parquet",
-      "sha256": "180c8c44e369b349cfffeb8211901dd4fe35b142805a063000ebfda2a28e7d55",
       "bytes": 43063,
+      "path": "data/internal_test/p24/numina-001493-0000-180c8c44e369b349.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
+      "sha256": "180c8c44e369b349cfffeb8211901dd4fe35b142805a063000ebfda2a28e7d55"
     }
-  ],
-  "proof_ids": [
-    "numina:891d60b6-4af5-51fd-92ab-e9628dcb1b5d",
-    "numina:bff7df0b-da06-5014-ade8-05e342845663",
-    "numina:c4a446c4-072f-5542-94cb-897a96abef3b",
-    "numina:d1001904-d13d-5cdc-a37e-a1a70657c143"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007465.lean\",\"3e0770317984e9f51194c7e9f238c6d78e423cac1819e5951832a68b24693ea3\",0,\"number_theory_309838\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007466.lean\",\"8c18838db0d9fa33b50a3a31e0de207fa249d477367b0770ddb23bd057d8842e\",0,\"algebra_221516\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007467.lean\",\"7bc6c043064cd7d4c8918c055af097edc61437a647566e9419b7432747cc58bc\",0,\"algebra_9267\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007469.lean\",\"48643bfa4e358d3ca1f3d20cbbd0f9243bb77dd210df2655acef2618eb65ef50\",0,\"number_theory_610762\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001494.json b/manifests/batches/numina/001494.json
index 0d511a4762e3b9f0446223d25ab9f86c2af99b7d..81dccdd800d16ec8f0ab5eb45177c8d825be7b90 100644
--- a/manifests/batches/numina/001494.json
+++ b/manifests/batches/numina/001494.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001494",
   "batch_fingerprint": "08f2cfb3a857b12b2e188d3c1fae89fa72621758b09f9c45a3487e0f3663dbac",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001494-0000-51a0047009a5979f.parquet",
-      "sha256": "51a0047009a5979fdb4d598e34c842a98877d6db81e9a15e940863dbe9a5830b",
-      "bytes": 455786,
-      "rows": 44,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:260228b5-0e45-512b-8e08-c9ca21411047",
     "numina:43f39d39-93e8-5d92-bb3c-a704594737de",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007472.lean\",\"bce3115e42e44dec665774a7a3827be715a1c8a13d253ba32b2ab2dce2d2c5a6\",0,\"algebra_126836\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007473.lean\",\"ce298d832fd115a30e63e18fe9ec4e7f23463ee0da6ca22c91247ed0573bf4da\",0,\"algebra_97235\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007474.lean\",\"2c566b10ff02fb03bb97523107338ce7e401c30b29aa534e5e1eca8e3ab7a086\",0,\"algebra_21574\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455786,
+      "path": "data/train/p55/numina-001494-0000-51a0047009a5979f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "51a0047009a5979fdb4d598e34c842a98877d6db81e9a15e940863dbe9a5830b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001495.json b/manifests/batches/numina/001495.json
index 68c6392b4e1ed8b98df5d9fd0374a0431927dabb..dcdb53ba2d6c59d71f00d03b347ce5f1b626d8ac 100644
--- a/manifests/batches/numina/001495.json
+++ b/manifests/batches/numina/001495.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001495",
   "batch_fingerprint": "56abda3d0a8f686669b98055fb79ea894d0ef1473d2ea0c0bc1f9ed9bc95e77f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001495-0000-7082ac2d519cf867.parquet",
-      "sha256": "7082ac2d519cf8672a8623f19b7ad0b6c98c663f8e333624f50dbd2fcb62a444",
-      "bytes": 756576,
-      "rows": 102,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/train/numina-001495-0001-c2335a23c91008f0.parquet",
-      "sha256": "c2335a23c91008f0f94a2c706f457a83b5bb350c7090ba85f9028f1c09f8a6bc",
-      "bytes": 97480,
-      "rows": 22,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/numina-001495-0000-65ab9ecdfa24d77e.parquet",
-      "sha256": "65ab9ecdfa24d77eb47baed075e7f5c834790e5928d3020a801c82c103ce6c20",
-      "bytes": 82081,
-      "rows": 5,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:720612a7-b71a-5492-a522-e7deced31363",
     "numina:79ac64dc-2c25-5b74-a662-b720ec3a11ec",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007477.lean\",\"afa874dc18b6c292d9e62a18fe8670c0390a52ab4cfc0a316f2da22b5cf6d23b\",0,\"algebra_1652\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007478.lean\",\"2a42fa227a6ce953d3d177defe1bd4d779a62baf658b52044312a5f861291143\",0,\"algebra_9274\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007479.lean\",\"9d7fdb90e7fcfebc3a3989a5e6477d26746c04b4fb0c4dfaa4ffff1f65e0743e\",0,\"number_theory_605558\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 756576,
+      "path": "data/train/p23/numina-001495-0000-7082ac2d519cf867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 102,
+      "sha256": "7082ac2d519cf8672a8623f19b7ad0b6c98c663f8e333624f50dbd2fcb62a444"
+    },
+    {
+      "bytes": 97480,
+      "path": "data/train/p23/numina-001495-0001-c2335a23c91008f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c2335a23c91008f0f94a2c706f457a83b5bb350c7090ba85f9028f1c09f8a6bc"
+    },
+    {
+      "bytes": 82081,
+      "path": "data/internal_test/p23/numina-001495-0000-65ab9ecdfa24d77e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "65ab9ecdfa24d77eb47baed075e7f5c834790e5928d3020a801c82c103ce6c20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001496.json b/manifests/batches/numina/001496.json
index 3de06eafe18141179a6f74c3483884553c9f2291..44f55c034ef6617b1f58267da6a9e9bb4943beb2 100644
--- a/manifests/batches/numina/001496.json
+++ b/manifests/batches/numina/001496.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001496",
   "batch_fingerprint": "347c3f3e24a9ae4557d70391ca357a6ef4365695ccf60685489f116195010955",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001496-0000-bccaf9cb972a056f.parquet",
-      "sha256": "bccaf9cb972a056f568ee9bf579a9244ec6f6b9426d8db94c8ce8e13b0dbb535",
-      "bytes": 127598,
-      "rows": 26,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/numina-001496-0000-f7de250c49429413.parquet",
-      "sha256": "f7de250c49429413acb516f2059dd2d1d71fbc8eabe9bf806ef9fe0895c7fd6d",
-      "bytes": 141665,
-      "rows": 3,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:180a0b27-7c13-568f-afa7-0b2efadb1326",
     "numina:2ff0dd60-6de6-5b86-934c-627650e59480",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007482.lean\",\"6c9c0e6e045aabe73cad719e4775a5ba3aaa34e4d57a9afbd791d3bdc72e5765\",0,\"algebra_1656\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007483.lean\",\"ea3ef5ef8f43851a24579861e6b06e86d2c91ca579691a01495ff231a6d8700f\",0,\"inequalities_171051\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007484.lean\",\"d2782db63e27fb0ea8fc0600d5f9b6dd9ff983018c0ae903a8aee5c759c472f5\",0,\"algebra_188924\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127598,
+      "path": "data/train/p96/numina-001496-0000-bccaf9cb972a056f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "bccaf9cb972a056f568ee9bf579a9244ec6f6b9426d8db94c8ce8e13b0dbb535"
+    },
+    {
+      "bytes": 141665,
+      "path": "data/internal_test/p96/numina-001496-0000-f7de250c49429413.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f7de250c49429413acb516f2059dd2d1d71fbc8eabe9bf806ef9fe0895c7fd6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001497.json b/manifests/batches/numina/001497.json
index 0008c78ea2e24c75ec8285feb2018d17919fe565..57174d9749ea6c7710cd1db48118af1d5ab54ace 100644
--- a/manifests/batches/numina/001497.json
+++ b/manifests/batches/numina/001497.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001497",
   "batch_fingerprint": "599d8e432f9f22048cb350b1ff5b8617b932473e5797f4fad5c61aa6a5ba2652",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001497-0000-d253c1bcd4d7076a.parquet",
-      "sha256": "d253c1bcd4d7076aefbc3d7cb1856ddce0eaf91ffcf044f6d3fcf60cb917fc5a",
-      "bytes": 103702,
-      "rows": 23,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/dev/numina-001497-0000-c594222b2e25396a.parquet",
-      "sha256": "c594222b2e25396aafbc464f26e6846f43af3baa7bb59a4682fc0cb97bd654f2",
-      "bytes": 53091,
-      "rows": 4,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/numina-001497-0000-824744f6506b8dc0.parquet",
-      "sha256": "824744f6506b8dc0b7405e38ad3c37688dc90badae04108f528f96cfcd99fdcf",
-      "bytes": 416877,
-      "rows": 32,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e8ca1b2-5c0f-5e8f-8a14-d63043d142bb",
     "numina:7a311e80-e10f-5637-870f-8d591403fbf2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007487.lean\",\"bd42de96b95790397d55a46b86319f98ca53154a60b6b6e719fc5c90ac6d731e\",0,\"number_theory_235030\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007488.lean\",\"d4c11df0a09c25fb4409f18c39bcf43426fc24bc29e5e27b500cbfc13ae9935d\",0,\"algebra_12028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007489.lean\",\"59e196c8329ab301ae0c62f3dc46358d6fb9259a199a7fa8f5005663dc595ede\",0,\"number_theory_168335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103702,
+      "path": "data/train/pe6/numina-001497-0000-d253c1bcd4d7076a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d253c1bcd4d7076aefbc3d7cb1856ddce0eaf91ffcf044f6d3fcf60cb917fc5a"
+    },
+    {
+      "bytes": 53091,
+      "path": "data/dev/pe6/numina-001497-0000-c594222b2e25396a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c594222b2e25396aafbc464f26e6846f43af3baa7bb59a4682fc0cb97bd654f2"
+    },
+    {
+      "bytes": 416877,
+      "path": "data/internal_test/pe6/numina-001497-0000-824744f6506b8dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "824744f6506b8dc0b7405e38ad3c37688dc90badae04108f528f96cfcd99fdcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001498.json b/manifests/batches/numina/001498.json
index 56389b7c9d5a2bd684376732e5f28ce20ecf699f..6c2216234c1c63d642103bfd8205841f3aa4f59c 100644
--- a/manifests/batches/numina/001498.json
+++ b/manifests/batches/numina/001498.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001498",
   "batch_fingerprint": "63308d9fa8058e149576407bf1972f0f526c6cdcd8acf3c43b4878997be581e0",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001498-0000-f31dc2c05c44c8d9.parquet",
-      "sha256": "f31dc2c05c44c8d951995279c2efe0424fad64f3fbe42dd660076f9ae6a1a727",
-      "bytes": 262816,
-      "rows": 45,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06e49358-6e0f-5910-9f87-5a7d73ec6804",
     "numina:28470d46-2cb3-5717-a232-a7f67a1ef6ee",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007492.lean\",\"53ec37befd43ab9b244782b2d5ee4a11ca9d11c699f37dd059784e07d1245b1d\",0,\"algebra_610696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007493.lean\",\"35790876ec4d97a1018601976cada43373a9b41f88694d891f8641a36271b02a\",0,\"number_theory_79098\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007494.lean\",\"40e8a95e2b0ba4694810bc9385bbe5a186decfd5a88548138c0678f40c9a83ff\",0,\"algebra_97318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262816,
+      "path": "data/train/p5e/numina-001498-0000-f31dc2c05c44c8d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "f31dc2c05c44c8d951995279c2efe0424fad64f3fbe42dd660076f9ae6a1a727"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001499.json b/manifests/batches/numina/001499.json
index fbfca8ba82a077fcb84328f78c8ed0b27506f6ad..d32f6647165b356c41dd23d87ede3d1607f82d5f 100644
--- a/manifests/batches/numina/001499.json
+++ b/manifests/batches/numina/001499.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001499",
   "batch_fingerprint": "d86360e4b372a0bc4220633db306275849f77d1d9bdadd8f581cae51d2decf7f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001499-0000-2cec373c865498a3.parquet",
-      "sha256": "2cec373c865498a369477f6f2b6ac3b377849e136d92a7996c256770a3a4f0e7",
-      "bytes": 107055,
-      "rows": 21,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    },
-    {
-      "path": "data/internal_test/numina-001499-0000-541f7217b6178345.parquet",
-      "sha256": "541f7217b61783450223a415c3d46ae7ad87b4be5f6bcce7ccc108969f18c7b0",
-      "bytes": 392705,
-      "rows": 37,
-      "revision": "e1e4d1cf442ecb393b15824e1d2b40db86779385"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e039154-4643-5d05-b9dd-2204d4d78d83",
     "numina:34d6974b-0750-521b-892b-02fd2fc8b499",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007497.lean\",\"373a9137c111881624b3afe3cc45f8eaaba359ab533aed0ff7e023aca8d3824f\",0,\"algebra_604719\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007498.lean\",\"dee005036dd7ac03ec4d0d4e1bf24a84d1b64918aadded8662d3f2424d9e8e7d\",0,\"algebra_21716\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007499.lean\",\"80f2a0db8407382bf3f0354c1488f470d5c9674561ae8b691d0cb07e94e950b5\",0,\"algebra_794\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107055,
+      "path": "data/train/p94/numina-001499-0000-2cec373c865498a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2cec373c865498a369477f6f2b6ac3b377849e136d92a7996c256770a3a4f0e7"
+    },
+    {
+      "bytes": 392705,
+      "path": "data/internal_test/p94/numina-001499-0000-541f7217b6178345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "541f7217b61783450223a415c3d46ae7ad87b4be5f6bcce7ccc108969f18c7b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001500.json b/manifests/batches/numina/001500.json
index 81e4cad1fe19ecda28f3e646c334d0aa8d1909cf..baca3efa43796fbb8421d5a4fdecbc8d1b96163b 100644
--- a/manifests/batches/numina/001500.json
+++ b/manifests/batches/numina/001500.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001500",
   "batch_fingerprint": "2f73216847a35a3b01d668a96107bdb2ae61ede8c1aa4baff174ceb705195d93",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001500-0000-359a50d7f15765fd.parquet",
-      "sha256": "359a50d7f15765fd1fef8b37569319d98c2e5b23fbac85641392c1b9acff82d8",
-      "bytes": 411667,
-      "rows": 38,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    },
-    {
-      "path": "data/internal_test/numina-001500-0000-8410f42c3709205a.parquet",
-      "sha256": "8410f42c3709205a0a57621c4eb155ad777d17c80e2f3b0c0850a2aeb5b829be",
-      "bytes": 208147,
-      "rows": 22,
-      "revision": "6dc2eb7296b43a7a0140f159499efad5d13e037e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02214b2f-238b-54c0-b607-5361f1240b56",
     "numina:4526bd6e-7a2f-5934-91d2-0f10f0fd1996",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007502.lean\",\"ee36fa998b0bb3ee5db0a2e7f92f5dcecce8ba898a241975c76fb29406f1acb2\",0,\"algebra_235094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007503.lean\",\"690c7db565888b16cb77bb68ebbcdd8cc249b9331963ffefff776b4f8b63fbd8\",0,\"algebra_142615\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007504.lean\",\"e8ae7243e45aaac7f1e66bc2a6ca88d3a1b58324b9649bff97f5ce25dff500d4\",0,\"algebra_610726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411667,
+      "path": "data/train/p03/numina-001500-0000-359a50d7f15765fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "359a50d7f15765fd1fef8b37569319d98c2e5b23fbac85641392c1b9acff82d8"
+    },
+    {
+      "bytes": 208147,
+      "path": "data/internal_test/p03/numina-001500-0000-8410f42c3709205a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "8410f42c3709205a0a57621c4eb155ad777d17c80e2f3b0c0850a2aeb5b829be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001501.json b/manifests/batches/numina/001501.json
index ff5999de522bb5d863936170054f26a1d0c1cd8b..2685fac6679a5a4c674d3fdead500742f948997d 100644
--- a/manifests/batches/numina/001501.json
+++ b/manifests/batches/numina/001501.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001501",
   "batch_fingerprint": "f019b1360ef0f9b074a9698cc16593b2a4bc2c7be65abeb8290d754253c4215d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001501-0000-ace03e829aa6d014.parquet",
-      "sha256": "ace03e829aa6d014d10abb65390efa1afe281609914afe9fdb65501804d2618c",
-      "bytes": 646145,
-      "rows": 30,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/train/numina-001501-0001-8b94da14fc169cc7.parquet",
-      "sha256": "8b94da14fc169cc7d674ad95ccb73c8ad6074a9b5c9a307ac5afd6537c6239c7",
-      "bytes": 126115,
-      "rows": 4,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06b9399f-8281-5e7e-bf32-2face87ec906",
     "numina:1479dda3-5799-5e51-a5fb-18ed046e0a72",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007507.lean\",\"fe19539d2cb887092b2740bff55248df4eafa0a35ef7c9e22482f80e3ccef1e5\",0,\"algebra_142822\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007508.lean\",\"bb956bcce3c71d9d4fcf558ce8d279bd6169e7cf8325583222ba58410f5c26a8\",0,\"number_theory_290095\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007509.lean\",\"5eb7000b2233015d168adb5bb80103a767dc6cc64d2e17530ddf52604816f921\",0,\"inequalities_604725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 646145,
+      "path": "data/train/p2f/numina-001501-0000-ace03e829aa6d014.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ace03e829aa6d014d10abb65390efa1afe281609914afe9fdb65501804d2618c"
+    },
+    {
+      "bytes": 126115,
+      "path": "data/train/p2f/numina-001501-0001-8b94da14fc169cc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8b94da14fc169cc7d674ad95ccb73c8ad6074a9b5c9a307ac5afd6537c6239c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001502.json b/manifests/batches/numina/001502.json
index 1e28ff3847747ac273c00a77cc0b618368f09a5a..c1c8002e800317a2fca8e76747b2b1e0b2086f6d 100644
--- a/manifests/batches/numina/001502.json
+++ b/manifests/batches/numina/001502.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001502",
   "batch_fingerprint": "7acad0ce701d45ecfcb3399b634d9c2dc48d0d5bd2b98e466cd58594f8ccc7bf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001502-0000-8717d7e3a11f1518.parquet",
-      "sha256": "8717d7e3a11f151812b897c6682bb9845afe00e35fdb80d6460e4b453aeb27cf",
-      "bytes": 490932,
-      "rows": 60,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/train/numina-001502-0001-2d606b9ee1a96a06.parquet",
-      "sha256": "2d606b9ee1a96a063c9910bf92538ceb936207d6c4bf0bc2075a8ba44112ba62",
-      "bytes": 405463,
-      "rows": 3,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0487694f-c317-588e-83c2-a86aee0b0e59",
     "numina:4599ca46-e48e-5614-b0d8-83e4f5a3056a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007512.lean\",\"aa46794e65bfeca766088e0c23f0c1dddc038640e72e0d9ed5f81bacc3cf9378\",0,\"algebra_21147\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007513.lean\",\"0641d6311661773e32650a8bb4273b56d65882fc1373810fcdf0fdb1cf700e18\",0,\"algebra_622370\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007514.lean\",\"47449b2700b078a57a8733a058d981c44a97c3cd6faf521ddbe53cf89746c849\",0,\"AMC_Algebra_1158\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 490932,
+      "path": "data/train/p77/numina-001502-0000-8717d7e3a11f1518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "8717d7e3a11f151812b897c6682bb9845afe00e35fdb80d6460e4b453aeb27cf"
+    },
+    {
+      "bytes": 405463,
+      "path": "data/train/p77/numina-001502-0001-2d606b9ee1a96a06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2d606b9ee1a96a063c9910bf92538ceb936207d6c4bf0bc2075a8ba44112ba62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001503.json b/manifests/batches/numina/001503.json
index ebf552832f6f3dc7a89c225695ed6454b9abff8c..07e7d9224065b69650f8017a1411a1d12e06083a 100644
--- a/manifests/batches/numina/001503.json
+++ b/manifests/batches/numina/001503.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001503",
   "batch_fingerprint": "d429d6fb5928086d5deec1930127e955cfb1ed42255c4bf7d155f4b843261c15",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001503-0000-b73606a192c8fdcc.parquet",
-      "sha256": "b73606a192c8fdcc5a9c006089f2020663f98c3b325b2f80fc8361716f006ae2",
-      "bytes": 334949,
-      "rows": 60,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/numina-001503-0000-29b1124385052150.parquet",
-      "sha256": "29b112438505215001b6643252d2fc2910ebc3f0c687e303e0bfe53e7b05ebbb",
-      "bytes": 92885,
-      "rows": 18,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1c04b716-1c9d-52cc-a9c2-78a86e0aaaf1",
     "numina:24a6f600-86a3-5c31-9bb3-ee803cfe01e6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007517.lean\",\"50854c22c130654234a40973aaad5f820c9bdac3a0210f81129cc42e4ff393ac\",0,\"inequalities_601402\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007518.lean\",\"338b4fb08424ac2087ab2ca69b8f1e5f625b89ab62fbc21f6482d5b07f369d71\",0,\"algebra_608744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007519.lean\",\"a4658a453f2682e5b926e3b8b130496cfce0244ed70bdccaeea6934013c82240\",0,\"algebra_22117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334949,
+      "path": "data/train/paa/numina-001503-0000-b73606a192c8fdcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "b73606a192c8fdcc5a9c006089f2020663f98c3b325b2f80fc8361716f006ae2"
+    },
+    {
+      "bytes": 92885,
+      "path": "data/internal_test/paa/numina-001503-0000-29b1124385052150.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "29b112438505215001b6643252d2fc2910ebc3f0c687e303e0bfe53e7b05ebbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001504.json b/manifests/batches/numina/001504.json
index 10fe2427efb1eb473fd931dbda4ecddc74ca4c72..c2a3113b88536dbd0a3b999856de44126f1f2904 100644
--- a/manifests/batches/numina/001504.json
+++ b/manifests/batches/numina/001504.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001504",
   "batch_fingerprint": "5a42e6dc9a8826b82b72deca4b01071db68dd3eb00aaa73fafb7dc46c9e3f3a1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001504-0000-f2029e2e5dc7d870.parquet",
-      "sha256": "f2029e2e5dc7d870617ba2f76fb42af72eb8f37e40b692fe2e531852f263ba09",
-      "bytes": 118345,
-      "rows": 18,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/numina-001504-0000-11bdeb0a97a3895f.parquet",
-      "sha256": "11bdeb0a97a3895fbd53e0e93a329a3b5ef5836ce8ef91e9b767989ac0ead385",
-      "bytes": 93970,
-      "rows": 18,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:36d7a5e7-6749-59b9-a37c-71da1a72ce88",
     "numina:4d380a9b-096b-555f-88be-131e2ad2ffa3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007522.lean\",\"8033eb3d9dee95a91019d23013f89d7bf9b8c1108749a8d81c6bf816de37a4bf\",0,\"algebra_241477\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007523.lean\",\"b207a1e11fc4793c7fa5ed7f42691e7de19257aebe2d37e6459924827b9b3599\",0,\"algebra_169122\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007524.lean\",\"3be114a8fd2983edf38b87785d1cae99085ed00db33c43f34915618ca8886369\",0,\"algebra_608747\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118345,
+      "path": "data/train/p02/numina-001504-0000-f2029e2e5dc7d870.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f2029e2e5dc7d870617ba2f76fb42af72eb8f37e40b692fe2e531852f263ba09"
+    },
+    {
+      "bytes": 93970,
+      "path": "data/internal_test/p02/numina-001504-0000-11bdeb0a97a3895f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "11bdeb0a97a3895fbd53e0e93a329a3b5ef5836ce8ef91e9b767989ac0ead385"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001505.json b/manifests/batches/numina/001505.json
index ebfc488c3d558bf13fa1281b9c0bf0f915311548..b2b838f2d0d984c6fc1a68cf8e71c193c2549442 100644
--- a/manifests/batches/numina/001505.json
+++ b/manifests/batches/numina/001505.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001505",
   "batch_fingerprint": "950f3151778c7713af0ebaf032d4b9d209e3d8482274be4af9672cf4407f999b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001505-0000-675b6f6196aa556a.parquet",
-      "sha256": "675b6f6196aa556a821f8bf4706f960fd148999f06ade66f6e43d653cb6894a1",
-      "bytes": 768528,
-      "rows": 36,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/train/numina-001505-0001-70be1a4b51ba3439.parquet",
-      "sha256": "70be1a4b51ba34391a49b48271e4eeaa16939519e6c4b904f3fb7ae8e470a400",
-      "bytes": 51676,
-      "rows": 1,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/numina-001505-0000-9ea1cf9abc183429.parquet",
-      "sha256": "9ea1cf9abc183429b9af0bead38c655dd8402508859057b075c32fc927ac4a39",
-      "bytes": 46836,
-      "rows": 7,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2fc4a422-b716-5321-bdb0-b8121e34cd71",
     "numina:395840e8-542f-506b-ab05-740dc94ba0b2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007527.lean\",\"d46f76e57b7d64df3cd72fa9ae6f3721b05a3a8ae61506640f23a2e2694991b1\",0,\"number_theory_604223\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007528.lean\",\"2ffc077de5278c9d10676f682a49c2960b640b1724b50114efa52ddd9a5fa801\",0,\"calculus_22127\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007529.lean\",\"132eb73c4d9ce41657d0f82b5301a14d3418cf7ac0a911b7d09ae3f666ec070a\",0,\"algebra_9458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 768528,
+      "path": "data/train/pcb/numina-001505-0000-675b6f6196aa556a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "675b6f6196aa556a821f8bf4706f960fd148999f06ade66f6e43d653cb6894a1"
+    },
+    {
+      "bytes": 51676,
+      "path": "data/train/pcb/numina-001505-0001-70be1a4b51ba3439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "70be1a4b51ba34391a49b48271e4eeaa16939519e6c4b904f3fb7ae8e470a400"
+    },
+    {
+      "bytes": 46836,
+      "path": "data/internal_test/pcb/numina-001505-0000-9ea1cf9abc183429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9ea1cf9abc183429b9af0bead38c655dd8402508859057b075c32fc927ac4a39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001506.json b/manifests/batches/numina/001506.json
index 716c7eded92b39485ca718471f568c4ceee6f63c..bcb7273132d457a47d815ac4ee92b383c19c4f06 100644
--- a/manifests/batches/numina/001506.json
+++ b/manifests/batches/numina/001506.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001506",
   "batch_fingerprint": "e751cccdae6ec563cdc442b097f668160e34bc1dc4305d7459438a2f3e8271a6",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001506-0000-36a05864964eb837.parquet",
-      "sha256": "36a05864964eb83760c587a86b0ae83cefbb2725b05aed06cb1e075369f778ac",
-      "bytes": 150222,
-      "rows": 35,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/dev/numina-001506-0000-28b79162469342d8.parquet",
-      "sha256": "28b79162469342d84ccac0842a4717156cf3e5a49e62e25fa4100fae425be3ed",
-      "bytes": 51930,
-      "rows": 4,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/numina-001506-0000-77daa00a76cc9d42.parquet",
-      "sha256": "77daa00a76cc9d429894339f184f95f1f7d7a4fa1701ea3ca84b70f9b308361a",
-      "bytes": 121947,
-      "rows": 15,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08529cad-93c9-5408-bc4b-15280c1e3dc1",
     "numina:2adfff42-7335-56a6-b729-ba5af58a483c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007532.lean\",\"770fe9b9fe0eca454eb32ea86f32130e3b73f7666027991fe0164314df3a4312\",0,\"Number_theory_241485\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007533.lean\",\"c7d9df51bdb74cc4b6b5a0cc33ef361ec8d6d67a3b83e50565a53aeb3cf82d78\",0,\"algebra_125275\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007534.lean\",\"2580798ff108845500bde6147678cbf2abf2e6f90ceac87176b91d42afa4774c\",0,\"algebra_196718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150222,
+      "path": "data/train/p3e/numina-001506-0000-36a05864964eb837.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "36a05864964eb83760c587a86b0ae83cefbb2725b05aed06cb1e075369f778ac"
+    },
+    {
+      "bytes": 51930,
+      "path": "data/dev/p3e/numina-001506-0000-28b79162469342d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "28b79162469342d84ccac0842a4717156cf3e5a49e62e25fa4100fae425be3ed"
+    },
+    {
+      "bytes": 121947,
+      "path": "data/internal_test/p3e/numina-001506-0000-77daa00a76cc9d42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "77daa00a76cc9d429894339f184f95f1f7d7a4fa1701ea3ca84b70f9b308361a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001507.json b/manifests/batches/numina/001507.json
index 48e5c41864f14312c6f2d95e2d4ba7e9233b44f2..5e8d6d4bafda84b20e8771a5c5f23460c55af3b6 100644
--- a/manifests/batches/numina/001507.json
+++ b/manifests/batches/numina/001507.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001507",
   "batch_fingerprint": "e51992a9ecc5b05e6038a74ac513d702edfe235936015dfb293ec18866b7d063",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001507-0000-053e51986db0b77f.parquet",
-      "sha256": "053e51986db0b77fc7e54fb2811a955cd792be6038e0a98f324c332e5e251d54",
-      "bytes": 556020,
-      "rows": 22,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17d13a7a-d2c9-58e5-84e6-b8adcddd7b59",
     "numina:2048479d-06b6-54c0-a9d4-544cc3591473",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007537.lean\",\"29be941ef4bec82bed4bb14d81efc8aba168f9fb62faa29685f544bcab11453c\",0,\"number_theory_604225\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007538.lean\",\"041bd9e7b9da404fc3ecad962f4a96f28b81ec877604b945ad9e43800b5aa258\",0,\"algebra_21706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007539.lean\",\"2af4cc3779196b2aec02e75ad65338f802881fb6e16841badd56aa10d0d1851e\",0,\"algebra_9459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 556020,
+      "path": "data/train/p8e/numina-001507-0000-053e51986db0b77f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "053e51986db0b77fc7e54fb2811a955cd792be6038e0a98f324c332e5e251d54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001508.json b/manifests/batches/numina/001508.json
index 92593ab70eb24ade5d0e68422058773a8a83790b..080d7661c7b4a25f9d15e8cd1505601a821785f6 100644
--- a/manifests/batches/numina/001508.json
+++ b/manifests/batches/numina/001508.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001508",
   "batch_fingerprint": "40a4c0d95d2fa0e7d10e9b8b607d096ac800ae53774620b894a01c561e3a044c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001508-0000-b698e13d9a68ff55.parquet",
-      "sha256": "b698e13d9a68ff5550ab34925856786da5924b7a08a2ccd1c080b09e909b119f",
-      "bytes": 393939,
-      "rows": 18,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:594faff7-e509-5d8a-baa6-1bfb343789fb",
     "numina:68ecc999-5c39-52a1-886c-c3a5980005b3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007542.lean\",\"e6023dfcedb057056f514e226f4f0fd79b60486e6fd83e53e924963fc9354f32\",0,\"algebra_169171\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007543.lean\",\"19cf72637bcce213c097163d0fe57192a6a96b6004fea0dd19d8bfb0235e2024\",0,\"algebra_604783\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007544.lean\",\"ba76ea7f7d029423657d41b40648ce486c141de54211e1b7f4a71ea88a6109d0\",0,\"number_theory_608750\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393939,
+      "path": "data/train/pfe/numina-001508-0000-b698e13d9a68ff55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b698e13d9a68ff5550ab34925856786da5924b7a08a2ccd1c080b09e909b119f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001509.json b/manifests/batches/numina/001509.json
index 6ae2171e099bc4545195ab22ebf742dd4d141f5f..87409ac9072575af9eebf08026147c1abfd0a67a 100644
--- a/manifests/batches/numina/001509.json
+++ b/manifests/batches/numina/001509.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001509",
   "batch_fingerprint": "05bf1718b3cd90ef5e8f286e4cb6eb847a230c6b167a3298c15e944abcaeef5e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001509-0000-632e4becb9d8739d.parquet",
-      "sha256": "632e4becb9d8739df6a8d9f10daf2cd0eb46fc4e37e9b9b9e316c16728f74130",
-      "bytes": 165606,
-      "rows": 29,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/dev/numina-001509-0000-a58b2aa27ee30015.parquet",
-      "sha256": "a58b2aa27ee300159c34a2989d0e145d1abdeb0b1ab57c91051ec57486039361",
-      "bytes": 24746,
-      "rows": 1,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:341f8a75-e74c-58b5-80d9-312c3c6d4bb9",
     "numina:36d8b6b0-4757-56f8-81f8-55a19f290550",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007547.lean\",\"42055678fb097ca72c4722aaa34c2d8443c9ce9e38f64550fd9d6659e32c762d\",0,\"algebra_21707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007548.lean\",\"67f8f902a71325af78d188393a00ff1d1781700ec6d279f46f7ab57ef62b1fab\",0,\"algebra_9462\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007549.lean\",\"40e4d04ab749aeff823276f21eb97e0ea54b7728f688bfa033084d321ebe263c\",0,\"number_theory_621269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165606,
+      "path": "data/train/p98/numina-001509-0000-632e4becb9d8739d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "632e4becb9d8739df6a8d9f10daf2cd0eb46fc4e37e9b9b9e316c16728f74130"
+    },
+    {
+      "bytes": 24746,
+      "path": "data/dev/p98/numina-001509-0000-a58b2aa27ee30015.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "a58b2aa27ee300159c34a2989d0e145d1abdeb0b1ab57c91051ec57486039361"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001510.json b/manifests/batches/numina/001510.json
index 0717d1973fb5d1806b48cb4f4dc914103c3f446a..78db7f9150368ab48a25c38cfc3223d8432aea8f 100644
--- a/manifests/batches/numina/001510.json
+++ b/manifests/batches/numina/001510.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001510",
   "batch_fingerprint": "8aed0506a5f20501417161f6a784b1f7376794f5e231ebbaf04f0081ec164532",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001510-0000-21c91b2fc7a7bae7.parquet",
-      "sha256": "21c91b2fc7a7bae749be87770e2136a1621b4950d96d72df516c93ae7f887394",
-      "bytes": 521526,
-      "rows": 22,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/train/numina-001510-0001-e0b5da128f700060.parquet",
-      "sha256": "e0b5da128f7000608f27558ed437eafaa210e72995bc6c3222fb8d92ae275d0e",
-      "bytes": 195337,
-      "rows": 4,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    },
-    {
-      "path": "data/internal_test/numina-001510-0000-724b90c7a122c60e.parquet",
-      "sha256": "724b90c7a122c60e6136bb449776659a34e608d57ad7c64127fd9051b0511892",
-      "bytes": 128751,
-      "rows": 4,
-      "revision": "1fea4dec1148e7427e78d31194e4c557d4384dbc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2eadfb6d-bf9a-5a6c-abc5-babf90ab93dd",
     "numina:6906ba60-d451-57ed-b6a5-d353291e6294",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007552.lean\",\"63bd8ec8b7b059e99cd020fc26c01032a371931f348091c40a838f3d39a1fdf4\",0,\"algebra_601947\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007553.lean\",\"26a4692d6402f0f7ea35daef53f3f68f4ee23beafb4ed4ef382c5bf6f7b7218b\",0,\"algebra_608764\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007554.lean\",\"9b653da84b18042e1e32686ee1737fd6ef84ed5c2d127da8bc1a02e51513ea57\",1,\"number_theory_604234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521526,
+      "path": "data/train/p01/numina-001510-0000-21c91b2fc7a7bae7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "21c91b2fc7a7bae749be87770e2136a1621b4950d96d72df516c93ae7f887394"
+    },
+    {
+      "bytes": 195337,
+      "path": "data/train/p01/numina-001510-0001-e0b5da128f700060.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e0b5da128f7000608f27558ed437eafaa210e72995bc6c3222fb8d92ae275d0e"
+    },
+    {
+      "bytes": 128751,
+      "path": "data/internal_test/p01/numina-001510-0000-724b90c7a122c60e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "724b90c7a122c60e6136bb449776659a34e608d57ad7c64127fd9051b0511892"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001511.json b/manifests/batches/numina/001511.json
index 25b8c932674b80378a7f52817fafc74450687f63..4a8f7e6eba6f14c3070d3e878df3853af53c6349 100644
--- a/manifests/batches/numina/001511.json
+++ b/manifests/batches/numina/001511.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001511",
   "batch_fingerprint": "b484128409c00da066abe919347effad275c97c059605644bb6a1c2dbf5dcb32",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001511-0000-3f8b84b248f79d41.parquet",
-      "sha256": "3f8b84b248f79d4102dabda074aeb87f45eb4341cdf0742acf1207bf52f4c2fa",
-      "bytes": 486219,
-      "rows": 34,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    },
-    {
-      "path": "data/internal_test/numina-001511-0000-6ee209735236fa23.parquet",
-      "sha256": "6ee209735236fa232eddfb77e0663aba4435c87ed2cc5c2101e9198265fc2739",
-      "bytes": 69205,
-      "rows": 7,
-      "revision": "76952d861d78d6c8b7b121baf070866951b3801c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5e5e1c56-afc7-5089-acc1-b01f1ac5bbec",
     "numina:75d1d498-3729-51c1-bbe4-6ac6e0b00dd6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007557.lean\",\"5b552efcfb1097f6bf2083db9d4f4784a18d73c7d02770aa090d815ce1bb8544\",0,\"number_theory_608165\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007558.lean\",\"29811c6a8db4b3facea58034a5d260a88dc645f437cffba4b04ec30a5f17c4ba\",0,\"inequalities_602032\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007559.lean\",\"2275c300dfc640f87903b4d6e658c64f8efd9ffdf405438c15a7d822ebb7f062\",0,\"algebra_630875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 486219,
+      "path": "data/train/p9f/numina-001511-0000-3f8b84b248f79d41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "3f8b84b248f79d4102dabda074aeb87f45eb4341cdf0742acf1207bf52f4c2fa"
+    },
+    {
+      "bytes": 69205,
+      "path": "data/internal_test/p9f/numina-001511-0000-6ee209735236fa23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6ee209735236fa232eddfb77e0663aba4435c87ed2cc5c2101e9198265fc2739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001512.json b/manifests/batches/numina/001512.json
index 11a07b51311ee4f21af6382ab73f7948f75c0810..feb1b79540f3aeeb36c64692a1fdfccbcd9e6c98 100644
--- a/manifests/batches/numina/001512.json
+++ b/manifests/batches/numina/001512.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001512",
   "batch_fingerprint": "a2ca7e0913a9430cf9affade1bb085d33fde965e275b5c07f9cc3b0bfb2250f5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001512-0000-6455080c3ddc690a.parquet",
-      "sha256": "6455080c3ddc690a54e102bc055f529cebe86c47d9280dc8234827e883225f60",
-      "bytes": 179001,
-      "rows": 12,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/numina-001512-0000-e5cc19250942cd94.parquet",
-      "sha256": "e5cc19250942cd94d57674d6098f2127a63b11685ec832d089f1532e1f204297",
-      "bytes": 156852,
-      "rows": 20,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14293653-6f56-51c1-8b89-e455f8bd0dde",
     "numina:45c1121b-86db-5562-9f7a-19c28a89b220",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007562.lean\",\"6bea696be9a2ccf527664570a506683dc296ba33d67eb70887d0de7ae5c065d2\",0,\"algebra_608168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007563.lean\",\"4d99625620eadf6cbda82aaf1e6cbd8103a40ed22e28ba3b0dc653fe651d09f9\",0,\"algebra_605458\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007564.lean\",\"528663e4184f6abb58a0218e1e5910ccca4465084fb68c8ef6fad2067a5f6c9b\",0,\"algebra_16826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179001,
+      "path": "data/train/p2d/numina-001512-0000-6455080c3ddc690a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6455080c3ddc690a54e102bc055f529cebe86c47d9280dc8234827e883225f60"
+    },
+    {
+      "bytes": 156852,
+      "path": "data/internal_test/p2d/numina-001512-0000-e5cc19250942cd94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e5cc19250942cd94d57674d6098f2127a63b11685ec832d089f1532e1f204297"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001513.json b/manifests/batches/numina/001513.json
index 14f580224214c690025702a3d38a15e163fe7809..2bf1a30e7f38f5a03a789bf6e637d6b10ec0c886 100644
--- a/manifests/batches/numina/001513.json
+++ b/manifests/batches/numina/001513.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001513",
   "batch_fingerprint": "0c1bd7c546fff697b622d12340240f1f69ffb7ef08f42e411f1bd52d38216f3f",
   "evidence": {
@@ -56,22 +55,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001513-0000-d299a16e652bb21d.parquet",
-      "sha256": "d299a16e652bb21d86bf5c55f9d4b78914e2d7bd87ca91c022eacf858da0975e",
-      "bytes": 225893,
-      "rows": 7,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/dev/numina-001513-0000-58a71b5ac78d312a.parquet",
-      "sha256": "58a71b5ac78d312a68895ad5f26685af4b750bad3ddeaa879a710116c9750674",
-      "bytes": 109212,
-      "rows": 9,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6f4f6c99-0c4c-5dbb-9273-2a7167e1518d",
     "numina:77ab7e28-f6a5-5c17-84a8-de5cd31ce9a5",
@@ -81,5 +65,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007566.lean\",\"f302f99373d1fb911b6a6f3452a96e6e7e774712e71aa076afdc8c9efba7e9ef\",0,\"algebra_167554\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007567.lean\",\"3647d1abdc7a58fb344fa44973b3821af2c5621a0ce8b27c1e2aacfc63d1498e\",1,\"algebra_197683\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007569.lean\",\"7d343ce9ec8e3107f017c841ee639e261c45fa2bfeea49d828392376914f3858\",0,\"number_theory_607567\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225893,
+      "path": "data/train/pbf/numina-001513-0000-d299a16e652bb21d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d299a16e652bb21d86bf5c55f9d4b78914e2d7bd87ca91c022eacf858da0975e"
+    },
+    {
+      "bytes": 109212,
+      "path": "data/dev/pbf/numina-001513-0000-58a71b5ac78d312a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "58a71b5ac78d312a68895ad5f26685af4b750bad3ddeaa879a710116c9750674"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001514.json b/manifests/batches/numina/001514.json
index 06e35a033df81c2f5b31b695bf8323ae0ea3978e..af01069ec41cbf801cb629fa80e07630fadc2407 100644
--- a/manifests/batches/numina/001514.json
+++ b/manifests/batches/numina/001514.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001514",
   "batch_fingerprint": "db195a76be487446bb548588a887e058ebbdfd715966d2dad7d96d90c1ccd18a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001514-0000-960995e46d245858.parquet",
-      "sha256": "960995e46d24585896d49f987022c8d03e3ae76878fb8b27006f35b675f8d656",
-      "bytes": 628906,
-      "rows": 18,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/numina-001514-0000-29ec71ef82808de8.parquet",
-      "sha256": "29ec71ef82808de8038447739c0567980527563f032f81eee887388762411f97",
-      "bytes": 36905,
-      "rows": 2,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2afa6c0d-3453-5cc0-94cc-2f546eb617bf",
     "numina:38729ffb-c390-56ea-9038-e0c00c3662c5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007572.lean\",\"08fbf44abadccec6a00e8e3c98cd76176f68340bc4474841d7424844756dba98\",0,\"algebra_13456\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007573.lean\",\"3893c35d7361d6ea3da3830712d9c09ae569af850db11a44cba1146a44f5ce3a\",0,\"inequalities_135810\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007574.lean\",\"d2a2a367ab720adda6a0436f0b15d0a6787db38c414124d4adba97a4139063ce\",0,\"number_theory_606185\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 628906,
+      "path": "data/train/p5c/numina-001514-0000-960995e46d245858.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "960995e46d24585896d49f987022c8d03e3ae76878fb8b27006f35b675f8d656"
+    },
+    {
+      "bytes": 36905,
+      "path": "data/internal_test/p5c/numina-001514-0000-29ec71ef82808de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29ec71ef82808de8038447739c0567980527563f032f81eee887388762411f97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001515.json b/manifests/batches/numina/001515.json
index 2a6ec12f59261db3c8d08d60cb9dbc6c133f3725..69241d1ed7c435081a7af1fce893b65b44d4deb8 100644
--- a/manifests/batches/numina/001515.json
+++ b/manifests/batches/numina/001515.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001515",
   "batch_fingerprint": "60deaac428dbb2536564c7b91a0dc0d862c2bea2d7dd6cadee0e035bc729df32",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001515-0000-a1365445c59a02cd.parquet",
-      "sha256": "a1365445c59a02cd8b29d1bdbe42bf22672a4e49ea523b1f19aa3e5f46d0f322",
-      "bytes": 694616,
-      "rows": 33,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d56a90b-433f-5619-83ba-5e50bca2202a",
     "numina:4b7b3d0b-d7e7-5a4b-a832-376b82c5aa9d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007577.lean\",\"e0e7e704842447ffc0a32bc7e134d404ab6d6a1fe05fea5bd54cfbee2bdee4fa\",0,\"number_theory_10645\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007578.lean\",\"f35bee9c7a2dfd14af93f2dcd9d0f046ebc6f162c9187e2e33ed4e883e7d8eb7\",0,\"algebra_9418\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007579.lean\",\"fcb294f10de7f32d2245102867118ce762db255ec1ae1869df52473b274e1890\",0,\"algebra_100669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 694616,
+      "path": "data/train/p49/numina-001515-0000-a1365445c59a02cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "a1365445c59a02cd8b29d1bdbe42bf22672a4e49ea523b1f19aa3e5f46d0f322"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001516.json b/manifests/batches/numina/001516.json
index 94cc68d4ac32614e4eef85b70eb1eeada6b6bcd3..65c78e60a23edfc803dd9ded8396768f5e0d675f 100644
--- a/manifests/batches/numina/001516.json
+++ b/manifests/batches/numina/001516.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001516",
   "batch_fingerprint": "cfd719788493e5dde08c4da498c8b7add42dbbde33426969d792670cced8911e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001516-0000-a1e1ec11da338e5b.parquet",
-      "sha256": "a1e1ec11da338e5b771e57230e99174a857160f6d08a2930e3d7796c4f6cd4d7",
-      "bytes": 470473,
-      "rows": 37,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/numina-001516-0000-3da23709eb0c86fe.parquet",
-      "sha256": "3da23709eb0c86fed97c644bb0d890064ff3e29e015004c4bc0f5d204e718021",
-      "bytes": 222074,
-      "rows": 18,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0242fc77-a993-5776-b58b-2d7ab6f8799d",
     "numina:273bbcc3-fb58-5d59-bcd4-10fe54556bc6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007582.lean\",\"a12af4dfcc1bb046307333f5a5c75d9549e29d27b1ed553a9c493ebbef3b1bde\",0,\"algebra_606186\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007583.lean\",\"4805e4f173b78091199c00d41a8e0082425e4c92b7ad662d06a32fa9ae21b232\",0,\"inequalities_608064\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007584.lean\",\"af0ab77e9d3f5d337e4dc2ace6d1137a2043ca3d2e4e6aa2761d0540defd52c0\",0,\"algebra_599067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470473,
+      "path": "data/train/pfa/numina-001516-0000-a1e1ec11da338e5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "a1e1ec11da338e5b771e57230e99174a857160f6d08a2930e3d7796c4f6cd4d7"
+    },
+    {
+      "bytes": 222074,
+      "path": "data/internal_test/pfa/numina-001516-0000-3da23709eb0c86fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3da23709eb0c86fed97c644bb0d890064ff3e29e015004c4bc0f5d204e718021"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001517.json b/manifests/batches/numina/001517.json
index fc4f1366bef840e6de34c3fb1005440451fcd184..567af4518a592bc0121a4911d319f5c40679046e 100644
--- a/manifests/batches/numina/001517.json
+++ b/manifests/batches/numina/001517.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001517",
   "batch_fingerprint": "a5d9ed56d097623d871c2aa658ef1612d5e70f2572b04e1bf9451cf4f2180b36",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001517-0000-ab04463e4442bba3.parquet",
-      "sha256": "ab04463e4442bba35105c92bd5a223b60650d7eb2880208ae7ebd2bc76614aa2",
-      "bytes": 449210,
-      "rows": 22,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/numina-001517-0000-efd1ad22ec04e43c.parquet",
-      "sha256": "efd1ad22ec04e43c4011c0b64e1900e76d3b87e91db9cec81fbbbabf076d4c04",
-      "bytes": 105169,
-      "rows": 8,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a314fcc-3ae1-53bf-a854-a20fbcce5f4f",
     "numina:48e851d0-d19a-5324-9136-e7a7445fdfa4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007587.lean\",\"3b9d79758fbfee1d482c813644ae31f186641d15c84fb5d92ec3342b1dcd1ae3\",0,\"inequalities_197809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007588.lean\",\"6fa7a96221c7a48eb01d057b8b83127e44af44941ccded0f1a71cb37acd9bea5\",0,\"inequalities_608066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007589.lean\",\"3ee43c2ba50f4d4d18a15a974134cbf9977c707d42896b5db4d11ca49166470f\",0,\"inequalities_599117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449210,
+      "path": "data/train/p31/numina-001517-0000-ab04463e4442bba3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ab04463e4442bba35105c92bd5a223b60650d7eb2880208ae7ebd2bc76614aa2"
+    },
+    {
+      "bytes": 105169,
+      "path": "data/internal_test/p31/numina-001517-0000-efd1ad22ec04e43c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "efd1ad22ec04e43c4011c0b64e1900e76d3b87e91db9cec81fbbbabf076d4c04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001518.json b/manifests/batches/numina/001518.json
index 3e1a03382fe29c6d88de8af596be0d376a6b6409..3cbee246c49b67cf26693bb1f64470e7bdd72419 100644
--- a/manifests/batches/numina/001518.json
+++ b/manifests/batches/numina/001518.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001518",
   "batch_fingerprint": "1bc5a9087477515629d48d1e2bae62e992ee820c20f9d81b0a6a337f81f647f4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001518-0000-f923f940aecb4abb.parquet",
-      "sha256": "f923f940aecb4abbed2ac48371aed41be1de23990801d3b6da7254ccc7578b02",
-      "bytes": 436717,
-      "rows": 28,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7ad1058b-b125-578d-bbf2-c05bbf15e5a0",
     "numina:9a1fb1f1-eee8-54dc-b0f9-f7f1e60a8c70",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007592.lean\",\"bc132b9b7d668e0778fad0af3557c950992bd56fb871db3eaea4e4af21c5ea5d\",0,\"algebra_117146\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007593.lean\",\"6af9a2851ddbc094ec5bb6dfadbb47702828023b65f6b4f0298383a44ffe2d84\",0,\"algebra_605128\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007594.lean\",\"3ec63ee022e5cf71907f54c9090800e4a93ff7a0b99e1a308241742c42f7e5ea\",0,\"algebra_599145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436717,
+      "path": "data/train/p62/numina-001518-0000-f923f940aecb4abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f923f940aecb4abbed2ac48371aed41be1de23990801d3b6da7254ccc7578b02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001519.json b/manifests/batches/numina/001519.json
index d02a00e21c6f4ba328b4aaf9446ef5977fd258c4..37d88313d2516d11df2c65e1e814a21e8fa1be9f 100644
--- a/manifests/batches/numina/001519.json
+++ b/manifests/batches/numina/001519.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001519",
   "batch_fingerprint": "599209a15f8433cd5873d2f73e874a4a8ea0858c7cdbccfbb2430a2fe8b78206",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001519-0000-0581e2e9eb3ebf0c.parquet",
-      "sha256": "0581e2e9eb3ebf0c4c234c351940104cffda526d5cad148fd7dad2239ce57ac6",
-      "bytes": 155444,
-      "rows": 12,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d2820e7-8028-5afe-a1f5-ef12f6290beb",
     "numina:32404f60-aa4c-51ea-b251-b41967211b2d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007597.lean\",\"90f24e241b5dcbb072d4947c2ed5444909577e2463010945891b0a1fbcbe468d\",0,\"Algebra_611313\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007598.lean\",\"01559de61ac85a3ac61dfd23c93196d297a5748fc645e63806788d7ca7d16e79\",0,\"algebra_100939\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007599.lean\",\"dd3eed257356211c3108e68d59872b620c64841fced74bdf68e2b4fce1bfbc50\",0,\"calculus_12463\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155444,
+      "path": "data/train/p4a/numina-001519-0000-0581e2e9eb3ebf0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0581e2e9eb3ebf0c4c234c351940104cffda526d5cad148fd7dad2239ce57ac6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001520.json b/manifests/batches/numina/001520.json
index b3cfc0b30ea5deace0d9056676efbcd4799ff406..12a86fc2d97c5904493b4aa4d4c92a8a9ad66d63 100644
--- a/manifests/batches/numina/001520.json
+++ b/manifests/batches/numina/001520.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001520",
   "batch_fingerprint": "0927767dd3b2b673a5afd72c3849d59ce31b42cd77d8f705b2d77d5da2e5293f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001520-0000-9c9f31e9fb7f4ff5.parquet",
-      "sha256": "9c9f31e9fb7f4ff5bef7e7360e9b150ae2ca3c3b5768c9a4f6c5e0bb3cc7bd5b",
-      "bytes": 271291,
-      "rows": 31,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    },
-    {
-      "path": "data/internal_test/numina-001520-0000-c1f43b6e14ee6118.parquet",
-      "sha256": "c1f43b6e14ee6118a8fc3b1273209ac7ccd825ce21a04dc37805f72f4a889ab3",
-      "bytes": 40534,
-      "rows": 4,
-      "revision": "695be0bfa4504e223833df79717c9854df702f5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4d0e3e3d-7bae-54ea-b711-4a19bda940d4",
     "numina:94c78680-3f29-55e1-aad2-fc7c68753b3f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007602.lean\",\"20b32eef7543376fe63324b54f1f263dae60a563a97cdbdd5d24c17622ad1763\",0,\"inequalities_599163\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007603.lean\",\"d1b736cfb121cb66297ada29a785d45682fba49118c84c7eaad26582589f6da8\",0,\"algebra_9142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007604.lean\",\"f475b75311e9fd95f5ba8ac85011c8ef8224f7ade58236f94929bcc274d29bf0\",0,\"number_theory_605130\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271291,
+      "path": "data/train/paf/numina-001520-0000-9c9f31e9fb7f4ff5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9c9f31e9fb7f4ff5bef7e7360e9b150ae2ca3c3b5768c9a4f6c5e0bb3cc7bd5b"
+    },
+    {
+      "bytes": 40534,
+      "path": "data/internal_test/paf/numina-001520-0000-c1f43b6e14ee6118.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c1f43b6e14ee6118a8fc3b1273209ac7ccd825ce21a04dc37805f72f4a889ab3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001521.json b/manifests/batches/numina/001521.json
index 4be2cb3af390787077087527dae5324f4e59b3be..9fb41c4c102fe708544277ac1977cc3ed6fecdd5 100644
--- a/manifests/batches/numina/001521.json
+++ b/manifests/batches/numina/001521.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001521",
   "batch_fingerprint": "b6eb304d8a06d0f35b19c0e00ed41ea1f215fbdbbeb6c50651328ab312e717cd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001521-0000-066cd95b03497900.parquet",
-      "sha256": "066cd95b03497900c6a317bed8ba4983245577a347946381a5921b90d8cf4c06",
-      "bytes": 677963,
-      "rows": 41,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    },
-    {
-      "path": "data/train/numina-001521-0001-aad0843f80df735b.parquet",
-      "sha256": "aad0843f80df735b89d05bd8788f480d6f687c4d9df26750b4e00fee799604b1",
-      "bytes": 218981,
-      "rows": 2,
-      "revision": "8387e169e1aa456b165081198c4b2ef356b6bc70"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22b9b9b7-87a1-58f3-bc15-a77086f2ecc7",
     "numina:3ce328ba-c2e6-5610-8c45-dfe797cf4f5c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007607.lean\",\"ebe53858fc43c9fb919f59268bbe59eb3640ddfe9b5375c8c643acb7dc7d0969\",0,\"algebra_21881\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007608.lean\",\"0f19ca586d8ba8c48dfe06bb231410b6638b8af7eb4e22986cbb6631fa45f29e\",0,\"inequalities_616699\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007609.lean\",\"d87211cbbb845acdbaadef76349dcc59c3ad553c4aaa890d51cb0485342b1f2d\",0,\"number_theory_605132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 677963,
+      "path": "data/train/pa6/numina-001521-0000-066cd95b03497900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "066cd95b03497900c6a317bed8ba4983245577a347946381a5921b90d8cf4c06"
+    },
+    {
+      "bytes": 218981,
+      "path": "data/train/pa6/numina-001521-0001-aad0843f80df735b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "aad0843f80df735b89d05bd8788f480d6f687c4d9df26750b4e00fee799604b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001522.json b/manifests/batches/numina/001522.json
index 41f1e4c9ee1cb1622f1ddffaba1dbc85ac02b8d6..92150e9e3a1fa3d1dbe4482d23c51c1b21a20c73 100644
--- a/manifests/batches/numina/001522.json
+++ b/manifests/batches/numina/001522.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001522",
   "batch_fingerprint": "f7fb3c091fd5472ade5c4a77501a6a4c11239a5bfff3753eef25f89e6a2421e3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001522-0000-ef9e6db9a8021aaa.parquet",
-      "sha256": "ef9e6db9a8021aaa73b0f595e12d0de6d3aed81d5bdcecc05d5bd8d451cc0ef3",
-      "bytes": 289610,
-      "rows": 37,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2a951d06-6e0b-50f2-9bc8-a0e721ea62c1",
     "numina:96172586-30a5-5738-9935-c9d5117fe55d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007612.lean\",\"1e58728b82809f3d4b91c8cfc9c0e991edd8bf8fe7478a406b3bb3dad7a51191\",0,\"algebra_1166\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007613.lean\",\"99895ca3d91f7df6f1bdbfab35fb87dd41c36c26a30143912d3f92be0711644d\",0,\"calculus_80483\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007614.lean\",\"95eddc0d78de8494468e8a2cf1e80c29ff6e41d022206149c3085c0ceea01f0e\",0,\"inequalities_238423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289610,
+      "path": "data/train/p6d/numina-001522-0000-ef9e6db9a8021aaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ef9e6db9a8021aaa73b0f595e12d0de6d3aed81d5bdcecc05d5bd8d451cc0ef3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001523.json b/manifests/batches/numina/001523.json
index 408d7c341bbdd82a3586baf2a31f7e5d1914c2a6..56c8a6452413eadd535aaa3731611b048dbb2db8 100644
--- a/manifests/batches/numina/001523.json
+++ b/manifests/batches/numina/001523.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001523",
   "batch_fingerprint": "e769f981058703040b673b4ac25939e1647b7f22ef5875a8f70c28157384c1f6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001523-0000-9d2e726c9a8e31f3.parquet",
-      "sha256": "9d2e726c9a8e31f355e1b3ff679044ee86721fea74f9b58d4fbe0ca0b2971bdc",
-      "bytes": 98612,
-      "rows": 22,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001523-0000-8aaaba719acb5bc6.parquet",
-      "sha256": "8aaaba719acb5bc6ab4573b37f6f259be933d5936fb4fe7b5bd664b277008755",
-      "bytes": 36827,
-      "rows": 7,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:130c2fe5-f0f6-5399-8c1f-ad0c54323419",
     "numina:27239dcf-5851-57ef-a2a9-808a88c736ae",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007617.lean\",\"7558183b6a6fba8c0c091b3442ea288a2d28d3743b880b14a6703212bf4f5e21\",0,\"algebra_19878\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007618.lean\",\"842d72b74639c87cba4d26d0ad1f6a1d11ae3b94206435f020fd445273902e29\",0,\"algebra_625467\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007619.lean\",\"ff4466062e8e80dad1114de75139de9513bacdbd1b94f03a07a8a6479796d035\",0,\"algebra_117295\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98612,
+      "path": "data/train/p20/numina-001523-0000-9d2e726c9a8e31f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9d2e726c9a8e31f355e1b3ff679044ee86721fea74f9b58d4fbe0ca0b2971bdc"
+    },
+    {
+      "bytes": 36827,
+      "path": "data/internal_test/p20/numina-001523-0000-8aaaba719acb5bc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8aaaba719acb5bc6ab4573b37f6f259be933d5936fb4fe7b5bd664b277008755"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001524.json b/manifests/batches/numina/001524.json
index f03ffe84bb0ce8f15f887955a82172b34d4d6a52..6820b140a0be58ba375cef014100aef8f2725e64 100644
--- a/manifests/batches/numina/001524.json
+++ b/manifests/batches/numina/001524.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001524",
   "batch_fingerprint": "e9f68bc940e6b12a35d189d692e7aa32756f686c474d75b8d935a6c79f65bd57",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001524-0000-7b700ef404514ab9.parquet",
-      "sha256": "7b700ef404514ab921a6c2242bd0156ee43ef10ce24256607c175c9144bd5b06",
-      "bytes": 451710,
-      "rows": 24,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001524-0000-4b47c07fb1072a6e.parquet",
-      "sha256": "4b47c07fb1072a6e4753329dc4a4edb199c9db0072611b5005d57570f6897387",
-      "bytes": 88220,
-      "rows": 3,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06b6d6dc-ca49-5500-b260-3715fcdbab2b",
     "numina:3ab2ed31-25d7-5e89-8c9e-abcd9274e053",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007622.lean\",\"28bc5669fca67f163853ae48bae9606503aa4d92f4afd6c50caef82627ec2ef6\",0,\"algebra_22090\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007623.lean\",\"5ea56bfa33dde76186ff08ee5e077ba3064a73b1063d1eae56bdd96caa2af59a\",0,\"number_theory_222631\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007624.lean\",\"cbde2dcd057f9a995c78c8ffefd81e975355f10fca208ccf2a032920e6e7304c\",0,\"algebra_97709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 451710,
+      "path": "data/train/p1f/numina-001524-0000-7b700ef404514ab9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7b700ef404514ab921a6c2242bd0156ee43ef10ce24256607c175c9144bd5b06"
+    },
+    {
+      "bytes": 88220,
+      "path": "data/internal_test/p1f/numina-001524-0000-4b47c07fb1072a6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4b47c07fb1072a6e4753329dc4a4edb199c9db0072611b5005d57570f6897387"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001525.json b/manifests/batches/numina/001525.json
index 8005569387b0bb24472867a6764641df2db5b1db..f3808c1a24fa7ab5eee796a3ee9cd7b50f21cb48 100644
--- a/manifests/batches/numina/001525.json
+++ b/manifests/batches/numina/001525.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001525",
   "batch_fingerprint": "3bb92916533eab1dfd8e0026ced4d72f555a426a93dd0f8eba709c265052a6ba",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001525-0000-5d07a852c723d99e.parquet",
-      "sha256": "5d07a852c723d99e1efab779814a2cdf339c5ef80e5838a1dc9d051820c2b3d4",
-      "bytes": 219009,
-      "rows": 23,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11a261c0-26af-5d43-b4be-a0feb2a6d199",
     "numina:521234ef-d3cc-55de-8c81-541eeb61abbd",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007627.lean\",\"889f4dc09e1cd4692c67a313c7e6de643e01f05ae52576376bbe7cf3441cfa70\",0,\"number_theory_605469\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007628.lean\",\"a5af00e1c92cbc3f66195a2183d4f13daf7d6d0a16740258bb877c322a39a00e\",0,\"calculus_22094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007629.lean\",\"6ffa2eb6b46a3a0b15ba10a285cde5ba2f4eab552be570ab78c562773cac9ba8\",0,\"number_theory_6047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219009,
+      "path": "data/train/p14/numina-001525-0000-5d07a852c723d99e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5d07a852c723d99e1efab779814a2cdf339c5ef80e5838a1dc9d051820c2b3d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001526.json b/manifests/batches/numina/001526.json
index 3f9c4205ecf10a63c871938be7c3e2f449d230d2..23172890adb21f1c088827a086c9b4853f687447 100644
--- a/manifests/batches/numina/001526.json
+++ b/manifests/batches/numina/001526.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001526",
   "batch_fingerprint": "67ece31802ebfed839e69e55bf792404fc9436849075c225f079120b021d83ae",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001526-0000-53c5f654aadae3f0.parquet",
-      "sha256": "53c5f654aadae3f01827d172f66b29cef0c84a4fcf01532085755f243a3648f4",
-      "bytes": 132957,
-      "rows": 20,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001526-0000-2f28228e4a4026ff.parquet",
-      "sha256": "2f28228e4a4026ffdc76271645c7f2dc5ba6758ed0aeb74df2aba5e787233cd4",
-      "bytes": 176483,
-      "rows": 40,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3bd5eebb-dbe9-5f5d-a790-ebe45bd967dd",
     "numina:4852725b-73d8-55ef-af3a-a02c3868f1ab",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007632.lean\",\"0f65fe1af159a90c62100c88d724913eff7c8c96fd9ce5260f69626be9f6af13\",0,\"inequalities_191212\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007633.lean\",\"8fd62f47f6ccfc22380ba5126dc0bb42db989fb858411b0e7f21ba607c0d94df\",0,\"number_theory_29996\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007634.lean\",\"dca97438e5b60132d2a10fd72c48f62abdd1ce70d1ec735f3256d9e267d3ca57\",0,\"algebra_258055\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132957,
+      "path": "data/train/pf6/numina-001526-0000-53c5f654aadae3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "53c5f654aadae3f01827d172f66b29cef0c84a4fcf01532085755f243a3648f4"
+    },
+    {
+      "bytes": 176483,
+      "path": "data/internal_test/pf6/numina-001526-0000-2f28228e4a4026ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "2f28228e4a4026ffdc76271645c7f2dc5ba6758ed0aeb74df2aba5e787233cd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001527.json b/manifests/batches/numina/001527.json
index 84a3f5339b372a87fb3b495ace13c9edbd1b467f..9ad624e2e30e4bd1e09a0f8755ff84d4bf28602d 100644
--- a/manifests/batches/numina/001527.json
+++ b/manifests/batches/numina/001527.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001527",
   "batch_fingerprint": "e3237e28c4b4ecf879a2e60fb789def5da3801f0ec0d6e78c029f6709bb3406d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001527-0000-dc8796e960b7bfd4.parquet",
-      "sha256": "dc8796e960b7bfd41d41c7b1cc4c69315d95da18a2360a7db175d56925422ca4",
-      "bytes": 691438,
-      "rows": 36,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001527-0000-9e03fb5d6a1eb12e.parquet",
-      "sha256": "9e03fb5d6a1eb12e2782225a43e3a383a094ca72acbb23957d5074d626c7be87",
-      "bytes": 169435,
-      "rows": 3,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:18a334fc-8782-5ef7-9c88-4cf1ee8a96d7",
     "numina:8ceaf3be-e3d2-5bba-b00e-97c6990bff89",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007639.lean\",\"8db3a874767f35c3ce676a1435a9941a4cbd4c31e790428e1a64a26525cc6167\",0,\"algebra_196501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 691438,
+      "path": "data/train/p9a/numina-001527-0000-dc8796e960b7bfd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "dc8796e960b7bfd41d41c7b1cc4c69315d95da18a2360a7db175d56925422ca4"
+    },
+    {
+      "bytes": 169435,
+      "path": "data/internal_test/p9a/numina-001527-0000-9e03fb5d6a1eb12e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9e03fb5d6a1eb12e2782225a43e3a383a094ca72acbb23957d5074d626c7be87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001528.json b/manifests/batches/numina/001528.json
index 13c647d0faddf18e51221571fd8d68895abab435..59e2c8eb326626e822e6832c6e5882aeb53fd113 100644
--- a/manifests/batches/numina/001528.json
+++ b/manifests/batches/numina/001528.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001528",
   "batch_fingerprint": "b132d7297bd1a09876f7a59201805b3f2a52c767803c08f0079cb233a2829178",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001528-0000-ad2e5d16b9559afb.parquet",
-      "sha256": "ad2e5d16b9559afb0cb1a2602a2a63fb49b55673cefd765cde95d472453ba84a",
-      "bytes": 159028,
-      "rows": 23,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001528-0000-d858718a665f0e92.parquet",
-      "sha256": "d858718a665f0e922308222489e10354f7ec9e07f2fc14b985d4978011914793",
-      "bytes": 44227,
-      "rows": 4,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34b1fb0d-cdc2-5df4-960c-b7b9ca8f76fe",
     "numina:35af116a-fd29-57fd-bf0f-0c905cd7aac8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007642.lean\",\"eb0bd272c57b4f6bd875ccb0ee3498319f072695d1389defb277847038df1449\",0,\"algebra_9466\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007643.lean\",\"ac9ed698a03c93d38a1e7f777c626bcf6d3b5a5de391b4af3af32f7101d26505\",0,\"algebra_97732\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007644.lean\",\"a163679a26ddc45ed9742fb21249e1b31d50ac79d751a53b1e26b85e6b60d696\",0,\"inequalities_605482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159028,
+      "path": "data/train/p02/numina-001528-0000-ad2e5d16b9559afb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ad2e5d16b9559afb0cb1a2602a2a63fb49b55673cefd765cde95d472453ba84a"
+    },
+    {
+      "bytes": 44227,
+      "path": "data/internal_test/p02/numina-001528-0000-d858718a665f0e92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d858718a665f0e922308222489e10354f7ec9e07f2fc14b985d4978011914793"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001529.json b/manifests/batches/numina/001529.json
index bf5a82480089fe3b4b020a33a7f3072712d0496d..e4c58228ab5cfb2d3379c93b7af92a6e448ed34e 100644
--- a/manifests/batches/numina/001529.json
+++ b/manifests/batches/numina/001529.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001529",
   "batch_fingerprint": "c23237c1e1d3834ae4ca98637ec507c2e53ca91e1dc693a4c92dbfdbe20e6a31",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001529-0000-7182966c0a61ae32.parquet",
-      "sha256": "7182966c0a61ae328cacc93c5948d75e14289a608a2b8bea728b392209795206",
-      "bytes": 706936,
-      "rows": 32,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/train/numina-001529-0001-979fdcc7ea6bdd77.parquet",
-      "sha256": "979fdcc7ea6bdd77cd4d148830695944e9dda7bae6f32ad29f93c60915359595",
-      "bytes": 328485,
-      "rows": 6,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:17275427-5c9f-583c-a858-c5a3dfa1bca2",
     "numina:29c03238-e83f-536c-b34c-06d232bc8e69",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007647.lean\",\"e30f9ff0191d9ed2bf509aa25e40097f4354da2a13d6cfadda67a29d01071133\",0,\"algebra_9470\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007648.lean\",\"9fcc607bcf69ec65c4aac7b8db2d90aff11928f201293409c32d0f9dc943ac17\",0,\"algebra_97738\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007649.lean\",\"3d8085b102cae005c67c67b372bbae5bd9832b62f3b90c468e2def4c0dc23f15\",0,\"algebra_93770\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 706936,
+      "path": "data/train/p59/numina-001529-0000-7182966c0a61ae32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "7182966c0a61ae328cacc93c5948d75e14289a608a2b8bea728b392209795206"
+    },
+    {
+      "bytes": 328485,
+      "path": "data/train/p59/numina-001529-0001-979fdcc7ea6bdd77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "979fdcc7ea6bdd77cd4d148830695944e9dda7bae6f32ad29f93c60915359595"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001530.json b/manifests/batches/numina/001530.json
index a9bf4cf02b9cab6e3e2a0af567c4c44531c4158b..66a06d38b9acb96ac4c258c47473bad7876a28a9 100644
--- a/manifests/batches/numina/001530.json
+++ b/manifests/batches/numina/001530.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001530",
   "batch_fingerprint": "031be706a657d13248201f685ef4809694b2fa3f29da4b44bad2e833e5bc43a4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001530-0000-f4a389c960285bbc.parquet",
-      "sha256": "f4a389c960285bbc0de85b12e58ed34de55909961861e7fcc51aecbc75aa2276",
-      "bytes": 79192,
-      "rows": 9,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    },
-    {
-      "path": "data/internal_test/numina-001530-0000-2b0b5de4c65b4f32.parquet",
-      "sha256": "2b0b5de4c65b4f3295f089456218a46486304cb5faecb362382762c9a3b73b52",
-      "bytes": 131092,
-      "rows": 13,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:136afae1-7f5a-5ee7-b2d6-042787794dee",
     "numina:1927cbd2-b325-55de-a089-524f978e9712",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007652.lean\",\"2aaac74c0834019a42020ccd99c3c858acfa86ef2cfd2bc434b356d2cbe58fc2\",0,\"inequalities_124962\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007653.lean\",\"45a5d14c3d3fafa83fdb508cc29ae6476e581ae3966ec4fcb530c24491ff62dd\",0,\"number_theory_289107\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007654.lean\",\"5f8046629bc593809f9f1a4abf3b4f8f607bf1a351ff20caeda4d2e4c2c5f8ae\",0,\"algebra_235967\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79192,
+      "path": "data/train/p61/numina-001530-0000-f4a389c960285bbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f4a389c960285bbc0de85b12e58ed34de55909961861e7fcc51aecbc75aa2276"
+    },
+    {
+      "bytes": 131092,
+      "path": "data/internal_test/p61/numina-001530-0000-2b0b5de4c65b4f32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2b0b5de4c65b4f3295f089456218a46486304cb5faecb362382762c9a3b73b52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001531.json b/manifests/batches/numina/001531.json
index db026ff6cd54765f838bba4f982194d93ae59137..4ea0aeb014e838ac9e6642422af4f649f238c17a 100644
--- a/manifests/batches/numina/001531.json
+++ b/manifests/batches/numina/001531.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001531",
   "batch_fingerprint": "5302668cb384db75f6091a750f8ddc17df61f9e1e44774c5d8b75379bd2ed2de",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001531-0000-3da6d40f2f87ac98.parquet",
-      "sha256": "3da6d40f2f87ac988a942b2c6ea7fe095224e65393223468d7a13a14543d12b7",
-      "bytes": 762315,
-      "rows": 48,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/train/numina-001531-0001-90460398949557e3.parquet",
-      "sha256": "90460398949557e39ac4cc6223a92ba9bac1c8cf38c4131f9fac88fa14d3a1ad",
-      "bytes": 532427,
-      "rows": 15,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    },
-    {
-      "path": "data/dev/numina-001531-0000-8b914e13d54b0dcc.parquet",
-      "sha256": "8b914e13d54b0dcce781ff13372209f35ce70b454095cc07f8356ceba566aff9",
-      "bytes": 121787,
-      "rows": 3,
-      "revision": "f0aad344cf3a6e9d4f166c63f4c668a1132d8cdf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:450266b0-530d-5044-9dd4-8c9d98982e78",
     "numina:7890c58f-0eff-5157-941d-de336755ad8f",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007657.lean\",\"7abf47ab1988ac1870c0d0289a9cca64c932d3415594550157f21b4cf9a548d5\",0,\"algebra_12297\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007658.lean\",\"64c232bc780f6a17c9cc95d704a18088c4c4e2bc132a2f554b58649a2156999b\",0,\"number_theory_606196\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007659.lean\",\"a1338ad26dc1749f3e7ff0940df20f320b850b2e5ec138c69c14bf7dfa2b6506\",0,\"inequalities_124969\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 762315,
+      "path": "data/train/p72/numina-001531-0000-3da6d40f2f87ac98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "3da6d40f2f87ac988a942b2c6ea7fe095224e65393223468d7a13a14543d12b7"
+    },
+    {
+      "bytes": 532427,
+      "path": "data/train/p72/numina-001531-0001-90460398949557e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "90460398949557e39ac4cc6223a92ba9bac1c8cf38c4131f9fac88fa14d3a1ad"
+    },
+    {
+      "bytes": 121787,
+      "path": "data/dev/p72/numina-001531-0000-8b914e13d54b0dcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8b914e13d54b0dcce781ff13372209f35ce70b454095cc07f8356ceba566aff9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001532.json b/manifests/batches/numina/001532.json
index 10f92ec60b7e3118da1bc3035c8f58d407854f14..69f4b88c70231c2b5ba857dba14225d5c19da374 100644
--- a/manifests/batches/numina/001532.json
+++ b/manifests/batches/numina/001532.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001532",
   "batch_fingerprint": "6032e1730f47bed283072b302800d9af6dd822a065af54b56a89d5f10a0d3a2c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001532-0000-f45502b4b84ec7a3.parquet",
-      "sha256": "f45502b4b84ec7a379f1536f13d68b824575d92951d218d2ee9dcbb2b6357377",
-      "bytes": 209758,
-      "rows": 23,
-      "revision": "914f8ea2ad2e36198330e3c45e987064ce0ecbb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1a596c8b-8e45-5bc0-ac34-e97d76e5fad2",
     "numina:6599751f-cef9-5a7a-97fe-a70cc83d1048",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007662.lean\",\"4890ef57532b2d680cc3f1d808d20e913133e4cdc2faf19928cc36fdb7f04449\",0,\"number_theory_6436\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007663.lean\",\"5a9c9458041c6311eca7e8529a94cf3583c3733da005a8e7579b367a2d7390ca\",0,\"algebra_10817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007664.lean\",\"430a360c5bf3a1fd30e631eb45df1500e1615ff2366bd2bd318f63efe644bb25\",0,\"number_theory_97759\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209758,
+      "path": "data/train/p56/numina-001532-0000-f45502b4b84ec7a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f45502b4b84ec7a379f1536f13d68b824575d92951d218d2ee9dcbb2b6357377"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001533.json b/manifests/batches/numina/001533.json
index 40038a2c6c1edbe2a9179107b62154972d30fa1e..1926d37365c8015d9651e03e38016ec2c0658d80 100644
--- a/manifests/batches/numina/001533.json
+++ b/manifests/batches/numina/001533.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001533",
   "batch_fingerprint": "7b1f12cf9014ed2225116178361226d715f47707e06fa46c9951463b36170d78",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001533-0000-bf92ded851e50cec.parquet",
-      "sha256": "bf92ded851e50cec9e3c8dfd37d4925f5b9c0d52149a310eac7cd0917d0f6806",
-      "bytes": 566867,
-      "rows": 49,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/numina-001533-0000-95810548b8853696.parquet",
-      "sha256": "95810548b88536969ec14be5caede3ddfb3da1d1725fa1355f5662badc3ad7dd",
-      "bytes": 82266,
-      "rows": 4,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26b332d6-572a-5830-beda-356e2bcf24c3",
     "numina:4f8daf6e-3859-5c42-b95d-e80f6998e277",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007667.lean\",\"7b1457b61c9563d4420c5a83b43fb3ebcb19a71d7fb679a7febd4141bc45b10e\",0,\"algebra_610869\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007668.lean\",\"eacff1d819d8ca4338a0c175097f7eaaeff5d749bd9ff06d1daaef2508ce8864\",0,\"algebra_9226\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007669.lean\",\"d28926aa6fbdccb41f96a2ecade886098a0c6053acd841d65de4e62fbb4048b3\",0,\"algebra_97723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 566867,
+      "path": "data/train/p54/numina-001533-0000-bf92ded851e50cec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "bf92ded851e50cec9e3c8dfd37d4925f5b9c0d52149a310eac7cd0917d0f6806"
+    },
+    {
+      "bytes": 82266,
+      "path": "data/internal_test/p54/numina-001533-0000-95810548b8853696.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "95810548b88536969ec14be5caede3ddfb3da1d1725fa1355f5662badc3ad7dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001534.json b/manifests/batches/numina/001534.json
index 6ea4d9cb31f05e8d51cc0baf68723c3a2e87c79d..0e87251e0a11d1d8143a1a79bae05a5c9bae21e4 100644
--- a/manifests/batches/numina/001534.json
+++ b/manifests/batches/numina/001534.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001534",
   "batch_fingerprint": "3f9fbb74854c72796f87aaeb30d08de856d38bbe70b2072acf382b41a52b883a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001534-0000-808f8480d4e54211.parquet",
-      "sha256": "808f8480d4e54211124a97bad45632cf63e95cb5cf5b22501bac65abea3eade1",
-      "bytes": 363865,
-      "rows": 32,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02d5e162-1400-508f-9a62-1ee5f92a912f",
     "numina:07080fc2-e7a4-5b98-8dfb-887e0856699b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007672.lean\",\"689ae95171afd13cb0588e27d6b2d4d49cbd6b867ccfe4817ebc1c7f125aa6ff\",0,\"number_theory_610871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007673.lean\",\"1651f5d3456235aa0e419af6366da401daa3ef4f461b1a6afd114fd50fe6e85c\",0,\"algebra_16750\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007674.lean\",\"72400564572639042480d04936e070672bc7099aa605248d7a47b4e83b6db764\",0,\"number_theory_125692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363865,
+      "path": "data/train/pdc/numina-001534-0000-808f8480d4e54211.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "808f8480d4e54211124a97bad45632cf63e95cb5cf5b22501bac65abea3eade1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001535.json b/manifests/batches/numina/001535.json
index 7f6f4ef20febc3b904efc6a23e5ba8dc8aee8f98..d11795651369fd6dd2ee60b71d84a66c89b0eee9 100644
--- a/manifests/batches/numina/001535.json
+++ b/manifests/batches/numina/001535.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001535",
   "batch_fingerprint": "ff3fbd1baa6a1c0f1ad45b431f5a71b34acb3ba6294e486621e0128bc83d748c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001535-0000-9309615541df1520.parquet",
-      "sha256": "9309615541df1520a2f29b55a6ccb6978245a8ec7e7097a1283b0b45ea37b5a2",
-      "bytes": 266156,
-      "rows": 7,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/train/numina-001535-0001-d5ba299703c5ea58.parquet",
-      "sha256": "d5ba299703c5ea58abee7e1a3fc822ffa29aef9d4d4a1a15c75664cbc2f85aad",
-      "bytes": 1455078,
-      "rows": 30,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/train/numina-001535-0002-b8849a045991c823.parquet",
-      "sha256": "b8849a045991c823666d98a15924b9239526e9807ac389d9ac0277cb31a86fae",
-      "bytes": 106275,
-      "rows": 4,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1febf621-eb16-5ac2-a7a7-d8b94b2a7ce0",
     "numina:63896e5d-acc4-5eaf-bad5-61eb076f9367",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007677.lean\",\"4927e8da37130171b1c9267d408d1627ff219f044ef252a05a58a83a435fb1ea\",0,\"number_theory_608420\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007678.lean\",\"172a1c60eaaf0b660a9b7b7d9d53c239bdb38e3861070595371d4813deedc342\",0,\"algebra_10579\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007679.lean\",\"c5d4b213270651444e78413f1db7ef7da0965af4baf4d575e11d3df50399802b\",0,\"algebra_604728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266156,
+      "path": "data/train/p0b/numina-001535-0000-9309615541df1520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9309615541df1520a2f29b55a6ccb6978245a8ec7e7097a1283b0b45ea37b5a2"
+    },
+    {
+      "bytes": 1455078,
+      "path": "data/train/p0b/numina-001535-0001-d5ba299703c5ea58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d5ba299703c5ea58abee7e1a3fc822ffa29aef9d4d4a1a15c75664cbc2f85aad"
+    },
+    {
+      "bytes": 106275,
+      "path": "data/train/p0b/numina-001535-0002-b8849a045991c823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b8849a045991c823666d98a15924b9239526e9807ac389d9ac0277cb31a86fae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001536.json b/manifests/batches/numina/001536.json
index c90e6423e1f028b9ee94929d7b30619b990cc662..d4af74c77c34cd384b2cb7dd87a4b87185446745 100644
--- a/manifests/batches/numina/001536.json
+++ b/manifests/batches/numina/001536.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001536",
   "batch_fingerprint": "b6423b99984f7acf66808a3129c13c1168b9d3be75a049f275aac2225fccc852",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001536-0000-aa074e98ca1a8747.parquet",
-      "sha256": "aa074e98ca1a8747f583de73c49641c80993add342d5b5e65490635c17a46699",
-      "bytes": 558319,
-      "rows": 22,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/dev/numina-001536-0000-d1807232d71962c6.parquet",
-      "sha256": "d1807232d71962c60be65b992c2e354d570c25ad4654dbac3263970582f9c1ab",
-      "bytes": 159869,
-      "rows": 7,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26d3c88c-d5f5-58a5-b780-4fbf3d142d18",
     "numina:3ff05932-902e-5a30-97bd-97777418e04b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007682.lean\",\"9bbe2dfdf87aed322142a62e0b38cbccb08b055d5f9feac0ee06db0bad904bb9\",0,\"inequalities_120961\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007683.lean\",\"0a7a8d373e52589c5df2f8ea1403bb8ccc06582ec8352c6f12730eb296129b42\",0,\"number_theory_604735\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007684.lean\",\"b4b3f6e3eaf398dff9b6a9d3dc63e1d1c36eb04725ebf0836fed951509117923\",0,\"algebra_93142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558319,
+      "path": "data/train/p80/numina-001536-0000-aa074e98ca1a8747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "aa074e98ca1a8747f583de73c49641c80993add342d5b5e65490635c17a46699"
+    },
+    {
+      "bytes": 159869,
+      "path": "data/dev/p80/numina-001536-0000-d1807232d71962c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d1807232d71962c60be65b992c2e354d570c25ad4654dbac3263970582f9c1ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001537.json b/manifests/batches/numina/001537.json
index 39b2ed5f66094a8ef144089589d257f7a422c0ce..30f5199d4f9b7f1236301d15b28088616518b793 100644
--- a/manifests/batches/numina/001537.json
+++ b/manifests/batches/numina/001537.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001537",
   "batch_fingerprint": "6870afdc038e27d81d2a9b328012e1af400e3016c6b39041ea02d7b037118b0e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001537-0000-fcae23b900bf2d7e.parquet",
-      "sha256": "fcae23b900bf2d7e97a444b9884807803375c92fbf102052c91e0af47bcb1b60",
-      "bytes": 237582,
-      "rows": 23,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/numina-001537-0000-18fe79cb9e49ef41.parquet",
-      "sha256": "18fe79cb9e49ef4101ca6f3fb8123de80e559d6b9c63f45b7f86d3582ac4ed6a",
-      "bytes": 31523,
-      "rows": 4,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71d13815-237a-55ce-b459-1242d572aa2c",
     "numina:7cdd4cfd-239d-5df9-baad-51cc6ff6fc22",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007687.lean\",\"05473c78a977e8c21439dfe9c76fe2375e1b9e65274195ca6c09f09e59825929\",2,\"algebra_12825\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007688.lean\",\"0a522f2034049666de3c105ff2dd5f00c685ab44a1b4fdab17bd158176043826\",0,\"algebra_120964\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007689.lean\",\"028db69183ff89ed34bbebbdbae3f5826a7d6789339789a37894bef743f11e5b\",0,\"number_theory_604738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237582,
+      "path": "data/train/p22/numina-001537-0000-fcae23b900bf2d7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "fcae23b900bf2d7e97a444b9884807803375c92fbf102052c91e0af47bcb1b60"
+    },
+    {
+      "bytes": 31523,
+      "path": "data/internal_test/p22/numina-001537-0000-18fe79cb9e49ef41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "18fe79cb9e49ef4101ca6f3fb8123de80e559d6b9c63f45b7f86d3582ac4ed6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001538.json b/manifests/batches/numina/001538.json
index 8f76ed57dd5df862faff7931924c4cabfefe0380..b55f3a7cbc1d209119bb36b0a7c834550ddc7949 100644
--- a/manifests/batches/numina/001538.json
+++ b/manifests/batches/numina/001538.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001538",
   "batch_fingerprint": "97acf9c935b59dc5ab591aec53af6df6220d1f2c74bc12be43982fe7c93f79fc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001538-0000-5e108f10b16e0162.parquet",
-      "sha256": "5e108f10b16e0162ffc30134a5e52a26c73c715b8d4a27ca5051ac2998165fff",
-      "bytes": 468774,
-      "rows": 36,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/numina-001538-0000-801c87ab6dfe876e.parquet",
-      "sha256": "801c87ab6dfe876e5b38479386a6971bd4e693cd47a3cc000d68643701c978f7",
-      "bytes": 85283,
-      "rows": 11,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fa430d1-d38b-59bb-b768-5c59185ac0c3",
     "numina:267120b8-a1e3-543f-a48a-2d6d7814724c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007692.lean\",\"6a2ed07787890f14849f67b9221f723e0c1a11909c919d4ac1bcb121c7a1a297\",0,\"algebra_626184\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007693.lean\",\"82a9d9c001aa3a7d704a1b1cc24129d7f6b95a6ffe53badc02c3847462ca48a5\",0,\"algebra_604745\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007694.lean\",\"7e304f63617359d614e8e2f7603f3ffc5d99ef69499a4aa8d9786c3fcf9fbcb5\",0,\"algebra_16713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468774,
+      "path": "data/train/pd5/numina-001538-0000-5e108f10b16e0162.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "5e108f10b16e0162ffc30134a5e52a26c73c715b8d4a27ca5051ac2998165fff"
+    },
+    {
+      "bytes": 85283,
+      "path": "data/internal_test/pd5/numina-001538-0000-801c87ab6dfe876e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "801c87ab6dfe876e5b38479386a6971bd4e693cd47a3cc000d68643701c978f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001539.json b/manifests/batches/numina/001539.json
index 363dfedb777c19ef4c43166986f1c4484175be3a..24da1b8234166ac5f6e82df3c974db8fb7f3c276 100644
--- a/manifests/batches/numina/001539.json
+++ b/manifests/batches/numina/001539.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001539",
   "batch_fingerprint": "87bb99de421da881e1b2adeba0133374077b25c04fe607e21212d5b0008a4ad4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001539-0000-9093e4eca081e89b.parquet",
-      "sha256": "9093e4eca081e89bc79f197dbb1530e2c980cd047524e07c294d4d03c13a51ca",
-      "bytes": 1001067,
-      "rows": 30,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/train/numina-001539-0001-e03a5f337245b921.parquet",
-      "sha256": "e03a5f337245b9219b031b90dcd26610e07581bba87d6bc4999baf3f10bccf9b",
-      "bytes": 291974,
-      "rows": 18,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/dev/numina-001539-0000-4b778affd48d5d98.parquet",
-      "sha256": "4b778affd48d5d98b25d77e69fd62237013c6ab4652e4d05ff3043577ad4ae1c",
-      "bytes": 52626,
-      "rows": 7,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e5c07d8-dfbd-50d7-a8bc-064c3799ecb2",
     "numina:6cd1a4b8-609d-5612-85ca-a950bef1b66e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007697.lean\",\"084f6892fd9ff0c47265045adfbd8de84428b43f7da8b99d737fc25e59dd64f3\",0,\"algebra_196422\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007698.lean\",\"1f8dbf52c1157f0c95039cda7c631135eafe75380b1c632728c8e6a69f1e9197\",0,\"number_theory_36363\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007699.lean\",\"dca971d393e53d96255c23fa6d96108754f013d862c449a06ec5badf0d5289c8\",0,\"algebra_604746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1001067,
+      "path": "data/train/pa6/numina-001539-0000-9093e4eca081e89b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9093e4eca081e89bc79f197dbb1530e2c980cd047524e07c294d4d03c13a51ca"
+    },
+    {
+      "bytes": 291974,
+      "path": "data/train/pa6/numina-001539-0001-e03a5f337245b921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e03a5f337245b9219b031b90dcd26610e07581bba87d6bc4999baf3f10bccf9b"
+    },
+    {
+      "bytes": 52626,
+      "path": "data/dev/pa6/numina-001539-0000-4b778affd48d5d98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4b778affd48d5d98b25d77e69fd62237013c6ab4652e4d05ff3043577ad4ae1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001540.json b/manifests/batches/numina/001540.json
index f30ce7fcf5dd75368c943fac524e99a7454c1166..28a8e0e9938700e7970efc4b9d715c410289f17e 100644
--- a/manifests/batches/numina/001540.json
+++ b/manifests/batches/numina/001540.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001540",
   "batch_fingerprint": "dc4681202c3676b386c181deac89d418797009681874c9cfb02f6c3d11604175",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001540-0000-8b4bf93df8fd4bb0.parquet",
-      "sha256": "8b4bf93df8fd4bb09287d08bb074a30c41ebf97180d50c72e9a55c1371ca4f49",
-      "bytes": 375276,
-      "rows": 33,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/numina-001540-0000-3a779e32065d7031.parquet",
-      "sha256": "3a779e32065d7031d85af082054b08c9d44502211585bf633a5f25443e8980cc",
-      "bytes": 127180,
-      "rows": 23,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f5e4e8b-d13e-5e6b-81a6-7de8678ea5a1",
     "numina:1e273c45-62b8-562e-8c47-321243b2b42c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007702.lean\",\"40c03ccbe81f21ebd207073bd9b567b09cd92778196b4126b01f3065cf84bfb7\",0,\"inequalities_598750\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007703.lean\",\"1103a3edc1634abcf3d2f3185294d0ed5eb0075aefb26fae23e5b554b04cb3be\",0,\"algebra_22553\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007704.lean\",\"cda854c5dccaa767355b37b28027480babac2581595dbdcaf262b01dbf61f764\",0,\"number_theory_60123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375276,
+      "path": "data/train/p64/numina-001540-0000-8b4bf93df8fd4bb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "8b4bf93df8fd4bb09287d08bb074a30c41ebf97180d50c72e9a55c1371ca4f49"
+    },
+    {
+      "bytes": 127180,
+      "path": "data/internal_test/p64/numina-001540-0000-3a779e32065d7031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "3a779e32065d7031d85af082054b08c9d44502211585bf633a5f25443e8980cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001541.json b/manifests/batches/numina/001541.json
index cda31ca5d51cb9a3b5dff3ca28ce5b7b28df021e..658231579682c796114f077b4cac3fbd9b27abd5 100644
--- a/manifests/batches/numina/001541.json
+++ b/manifests/batches/numina/001541.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001541",
   "batch_fingerprint": "af15953d0df42da693c72efe120b6fcdeb2bfb0be6563c898387cc83cc25277f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001541-0000-320c13d375494af1.parquet",
-      "sha256": "320c13d375494af11cf15604bf19bc93bae8480f68f7e630c490f1be6adcd844",
-      "bytes": 72179,
-      "rows": 15,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    },
-    {
-      "path": "data/internal_test/numina-001541-0000-d71352764a2c58e1.parquet",
-      "sha256": "d71352764a2c58e1b3ff2ccfd60488988b1247cbd5d5fc2a9953b3d7326a80bc",
-      "bytes": 215626,
-      "rows": 8,
-      "revision": "e556f2a8c1e2268e56846aa4d6b473f47ce81906"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d8b97e2-34e9-58bb-b4de-e5f35d6a76cc",
     "numina:6c52eed7-7b2c-50c3-b017-9fa87897ec70",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007707.lean\",\"6cac28e07858b3c98b4c3518443cf2c885bc3c300156f08a779c38b5c89ee8d0\",0,\"inequalities_598808\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007708.lean\",\"f9a427743e5dee02c026e3d947db3e0446a94c0844820afd4bec70fee9623a5a\",0,\"numbera_theory_608225\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007709.lean\",\"d6ad44dccc9ebb508fad1af50338078026599912f1e5e840c3ee6025a93722c6\",0,\"algebra_196435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72179,
+      "path": "data/train/p53/numina-001541-0000-320c13d375494af1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "320c13d375494af11cf15604bf19bc93bae8480f68f7e630c490f1be6adcd844"
+    },
+    {
+      "bytes": 215626,
+      "path": "data/internal_test/p53/numina-001541-0000-d71352764a2c58e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d71352764a2c58e1b3ff2ccfd60488988b1247cbd5d5fc2a9953b3d7326a80bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001542.json b/manifests/batches/numina/001542.json
index b7ae0a7491742337715ab574f65fb569ce66045b..fe18431b85e83e3103ae754981a4e63213ba16fc 100644
--- a/manifests/batches/numina/001542.json
+++ b/manifests/batches/numina/001542.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001542",
   "batch_fingerprint": "e559af13bbda551b97b789147112f0c707e62b959075cbdcd7f646b09f778c76",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001542-0000-f9323b6d69f5ec48.parquet",
-      "sha256": "f9323b6d69f5ec487ba8c6d0d53bb0e824c1999aba0a7ed55d68235cce3d29ea",
-      "bytes": 601850,
-      "rows": 104,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:297dd3e0-57e3-5e75-8b4d-6271c2777b7e",
     "numina:41cfe4cb-c33f-5767-a58d-eac513d48142",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007712.lean\",\"14c47ed7f068e49b88b3aa753883c5d5e221abf9f2d20bb9443dee163d70367f\",0,\"algebra_605293\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007713.lean\",\"3e4b9112e57838f34338baf8862abc5357afda19e7c921e6e6bc7f675a729fe4\",0,\"number_theory_149956\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007714.lean\",\"f1f4c27876978df47c8cc1904da9f1923bd9771538720916dbf7b049056b1cd2\",0,\"calculus_598841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601850,
+      "path": "data/train/pe1/numina-001542-0000-f9323b6d69f5ec48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 104,
+      "sha256": "f9323b6d69f5ec487ba8c6d0d53bb0e824c1999aba0a7ed55d68235cce3d29ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001543.json b/manifests/batches/numina/001543.json
index e937e964e4270a862019ce760059316b0c810bd3..1f349045e4fd33a54d160f8b4d005bb852de84fa 100644
--- a/manifests/batches/numina/001543.json
+++ b/manifests/batches/numina/001543.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001543",
   "batch_fingerprint": "061d9d07dc086308e8dcba2833e342f016548db584c915e1c4ae6815e0c56f23",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001543-0000-b78886363f9bb0ec.parquet",
-      "sha256": "b78886363f9bb0ec359236a8125eae3447eace68db10246cd98f747d16bccbe3",
-      "bytes": 476888,
-      "rows": 18,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    },
-    {
-      "path": "data/internal_test/numina-001543-0000-718a5c38dc36325d.parquet",
-      "sha256": "718a5c38dc36325d0f5e0be95a263e9af3c816297159e858738353d2f08a36cd",
-      "bytes": 74140,
-      "rows": 3,
-      "revision": "7dc737f4f18e6c6f54475c07d618f45efc49b353"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21cefd25-db31-5161-855f-b7bc9bafd691",
     "numina:40633901-88d4-5c0d-a375-b9a35f03f687",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007717.lean\",\"0180b42c5834f9e94d3cee5ca4286ba136bdb34431e0d29697bc9d4e0f1b1dd6\",0,\"number_theory_634252\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007718.lean\",\"4f7374dd545b32cd1a268638181e79c05adbea9ec83ac0adbe0d666a843c6f1d\",0,\"inequalities_218291\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007719.lean\",\"813212345cd0acf1c3130af7b94e6c2c91429624491806a7136142f09b3b1ef9\",0,\"algebra_10561\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476888,
+      "path": "data/train/p55/numina-001543-0000-b78886363f9bb0ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b78886363f9bb0ec359236a8125eae3447eace68db10246cd98f747d16bccbe3"
+    },
+    {
+      "bytes": 74140,
+      "path": "data/internal_test/p55/numina-001543-0000-718a5c38dc36325d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "718a5c38dc36325d0f5e0be95a263e9af3c816297159e858738353d2f08a36cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001544.json b/manifests/batches/numina/001544.json
index 918a598c96cf56f008c0ce8aec500f1d340152b5..e1b21fdecb14798387ff396dfdead67c1a5316cf 100644
--- a/manifests/batches/numina/001544.json
+++ b/manifests/batches/numina/001544.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001544",
   "batch_fingerprint": "02557c40f54e2b3fda0a3076475619abcb608263bee6ae80820c74137bd8ef57",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001544-0000-220778b3ceb4083f.parquet",
-      "sha256": "220778b3ceb4083f6e4affc08ab463609d96c6fd1f3f445982f47ade70daef7a",
-      "bytes": 423695,
-      "rows": 50,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:60a753fd-145d-5ba9-a8f1-9c4835087b04",
     "numina:953fd378-e83a-5680-a2b5-922d30020eb7",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007722.lean\",\"dc6d6bf7a50814f4031a8fcbb0a04e5c154562e7dccf5428d961e3b3fbb310ed\",0,\"number_theory_240499\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007723.lean\",\"fc9062194e8914a9fa04b5148b0a46a8c1f030ef0dad8701ad721a06a8463ccb\",0,\"calculus_22580\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007724.lean\",\"24dc72380d71a5fdab777230abe528a8a7e5687a3289210c0c8903b229d83035\",0,\"number_theory_605304\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423695,
+      "path": "data/train/pd5/numina-001544-0000-220778b3ceb4083f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "220778b3ceb4083f6e4affc08ab463609d96c6fd1f3f445982f47ade70daef7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001545.json b/manifests/batches/numina/001545.json
index 0c4b21a6af3242767b3f4462d56b4c45fd7fbfde..eff057232a7ce5de338d1290ec36fc885cb05603 100644
--- a/manifests/batches/numina/001545.json
+++ b/manifests/batches/numina/001545.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001545",
   "batch_fingerprint": "d415f057e436dd9fa3dd9e92cda37a9d852f233c93236515db1108191e678a0f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001545-0000-d026ed8c49bb5607.parquet",
-      "sha256": "d026ed8c49bb56075f463e1d82aff5298f6003cefd2bbbacc2ea4b74b1586cbd",
-      "bytes": 244864,
-      "rows": 36,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:158c4bd6-8db5-504d-bb0f-59c35b4128ca",
     "numina:1dcdc082-4bb4-5fce-bd0e-6a518d035de9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007727.lean\",\"c002415107600d62da2e353e78d8b000f50a4ba962e8724962eff9950a70c146\",0,\"algebra_17143\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007728.lean\",\"dd050b04b2c5c7f70a3ecf03a03188af553dc3192ec566785dd06a501ca3c35b\",0,\"algebra_168211\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007729.lean\",\"1529bd4cc4f212be42d7b0dd788586aee8177e0f1d1bcb15225b0c5d1efa553a\",0,\"algebra_287054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244864,
+      "path": "data/train/pbd/numina-001545-0000-d026ed8c49bb5607.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "d026ed8c49bb56075f463e1d82aff5298f6003cefd2bbbacc2ea4b74b1586cbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001546.json b/manifests/batches/numina/001546.json
index d4cb280283006a2c16c640b9581f9af80a743a22..8eba5c568911a342603f62efa3d32f776a2a5c4e 100644
--- a/manifests/batches/numina/001546.json
+++ b/manifests/batches/numina/001546.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001546",
   "batch_fingerprint": "75e65a29491f4dfe38c1454c77b242c078bf3ed609f38055a38de0ebce40f3b7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001546-0000-0bfea3eff97ad593.parquet",
-      "sha256": "0bfea3eff97ad593c95b3d830a84cc3de1e168f71bd22f6f1df80b63ce47cffc",
-      "bytes": 246613,
-      "rows": 31,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0cf29b14-1b3d-5584-8a8c-e64f30130396",
     "numina:74d52011-fa21-5382-a6cc-cc45ca9abad8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007732.lean\",\"105a40b3214cd5cb2e3eaaad3d62c3ba30e62f2de17c8992831cc501936bcb14\",0,\"algebra_634415\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007733.lean\",\"ef6d168a8e6fd51984a1a1f95afcbbd45aedb434c938d0d5ac1d9371363bb83d\",0,\"algebra_20071\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007734.lean\",\"676394391315a3021b0b15676f57c69c683b33acbbab838209b0f0df00e0c435\",0,\"algebra_10835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246613,
+      "path": "data/train/p0a/numina-001546-0000-0bfea3eff97ad593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "0bfea3eff97ad593c95b3d830a84cc3de1e168f71bd22f6f1df80b63ce47cffc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001547.json b/manifests/batches/numina/001547.json
index c042c027dfccfecf0131dcabb2edf472d43d740b..241d0c7b211d39e4e4905137602e2031eee49881 100644
--- a/manifests/batches/numina/001547.json
+++ b/manifests/batches/numina/001547.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001547",
   "batch_fingerprint": "57edf7d3dbdcdadef85bc00bd6cf4dbd60b3383de57155939a75da92f7a5cbf6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001547-0000-5f677e9514a84567.parquet",
-      "sha256": "5f677e9514a84567990062f90e74488bf8f3edecd77de7a6210c61a9fbded128",
-      "bytes": 341831,
-      "rows": 27,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/dev/numina-001547-0000-61651ef73f45491b.parquet",
-      "sha256": "61651ef73f45491b0e585112ccd396d7b10676f87ff29e73e612f50c029f7b45",
-      "bytes": 134678,
-      "rows": 26,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:515ba40a-bfbe-5c0f-a662-b01c10410c9f",
     "numina:6801c12d-ddfd-5cd5-9dc5-9f48864efefc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007737.lean\",\"762b3ad7ddc36a4f177d5796e0475caf28ddfa9d3d3490aad6acbdc06cfcf450\",0,\"number_theory_606224\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007738.lean\",\"51c17de93e16f554f0572c35bb9ee4353171c7cfade451267bc5dced40afa714\",0,\"algebra_10836\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007739.lean\",\"c346816e0e73a9452639612ee4a77e407a67513b2dad2622d38a3d96010d9147\",0,\"algebra_21891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341831,
+      "path": "data/train/pc3/numina-001547-0000-5f677e9514a84567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "5f677e9514a84567990062f90e74488bf8f3edecd77de7a6210c61a9fbded128"
+    },
+    {
+      "bytes": 134678,
+      "path": "data/dev/pc3/numina-001547-0000-61651ef73f45491b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "61651ef73f45491b0e585112ccd396d7b10676f87ff29e73e612f50c029f7b45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001548.json b/manifests/batches/numina/001548.json
index 68f7b8baa7fa28dced762c1abf81f21e293ee809..38644ebc53574b682cb2bfeab4797d14973f7e0e 100644
--- a/manifests/batches/numina/001548.json
+++ b/manifests/batches/numina/001548.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001548",
   "batch_fingerprint": "d2ba28c91064b991d600108db5542965362d5c1dbda972cd4e0cdea772d7e8a4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001548-0000-ce88813b694e7b4c.parquet",
-      "sha256": "ce88813b694e7b4c9c5a5fc2e80aa037eaa3578372a39da19ca51132faf9ceb0",
-      "bytes": 300444,
-      "rows": 44,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11044d6b-af7c-5110-bef3-e49b63a73f15",
     "numina:2730bf34-a424-5453-bf03-3e0faac48fce",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007742.lean\",\"5a46a0cb43e1bd63a76d7778331591687a21f9a47c628f225b43d1ae82e5c3a4\",0,\"algebra_607760\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007743.lean\",\"54f7ca0b2040532dfc8096d3c0de304d27f711276a78735c69fc5f95bc2aa53d\",0,\"algebra_13883\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007744.lean\",\"87e5cdaa0f0bf8019c489ec482fcb3aba11eb7ef81ec701ac5b1997b12a1e37b\",0,\"algebra_604648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300444,
+      "path": "data/train/p4e/numina-001548-0000-ce88813b694e7b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "ce88813b694e7b4c9c5a5fc2e80aa037eaa3578372a39da19ca51132faf9ceb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001549.json b/manifests/batches/numina/001549.json
index aee57122014a52f17a0d09362a6d72fcb0438b86..3863b7a6598cbb84137775eff173501b698833e7 100644
--- a/manifests/batches/numina/001549.json
+++ b/manifests/batches/numina/001549.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001549",
   "batch_fingerprint": "a09d80238d2ec8e64600f4ab1fe4a0a5ea0152a2a15222ddf24b5c142bb42b56",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001549-0000-a217ef8794a9cb09.parquet",
-      "sha256": "a217ef8794a9cb099de69e9a244a5f0fc5d5a14c73ad4803fef335adea938fc7",
-      "bytes": 389346,
-      "rows": 20,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/numina-001549-0000-7d6b17ff00f19c7e.parquet",
-      "sha256": "7d6b17ff00f19c7e4bf3386875cd63b642fd7a8f7be27b837069c79c0e7e72d1",
-      "bytes": 253313,
-      "rows": 7,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21d4e69e-07ec-52ac-8831-84ec4dc586ce",
     "numina:43fac166-df65-5ce1-8f87-e1afd9e6d5fb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007747.lean\",\"0f0ce47d00f77d9148c7ed528b9a9ca69a9804e84f2db87b7d25d8df83fc24db\",0,\"algebra_123343\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007748.lean\",\"90bda27ca456de5693920295917e8c825120aef8b5ab51ed0f0d6eeb33fb9cbc\",0,\"inequalities_95040\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007749.lean\",\"7d7400b791ed44986b4ab7aaab879fdd3cde53bc9eec8d48a8a07652742e251f\",0,\"algebra_237937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 389346,
+      "path": "data/train/p66/numina-001549-0000-a217ef8794a9cb09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a217ef8794a9cb099de69e9a244a5f0fc5d5a14c73ad4803fef335adea938fc7"
+    },
+    {
+      "bytes": 253313,
+      "path": "data/internal_test/p66/numina-001549-0000-7d6b17ff00f19c7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7d6b17ff00f19c7e4bf3386875cd63b642fd7a8f7be27b837069c79c0e7e72d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001550.json b/manifests/batches/numina/001550.json
index ce4077bb69b011ab67b0ce928a2b4df5e61ee9f1..bd57fc20383ef8e6771be998fb4dd9ac2934c1ee 100644
--- a/manifests/batches/numina/001550.json
+++ b/manifests/batches/numina/001550.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001550",
   "batch_fingerprint": "3dd9ba554f8bd86e849eba3f9772e2cfc8533d182b1138d6dc948f62ef244c71",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001550-0000-bc44ff55172355f1.parquet",
-      "sha256": "bc44ff55172355f1dc4e27e481b301fd14acabffef226eedb7681d84c97783b7",
-      "bytes": 328804,
-      "rows": 19,
-      "revision": "9ad38715db452b3cd8f636f493bffd0fd8cfcde3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7056c5f9-ea74-5afe-98ef-419efcfe1ebb",
     "numina:883f5011-0aba-586b-9957-f9cad5f216c5",
@@ -59,5 +50,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007751.lean\",\"e5753b4760f42db0b365c13c430010e3c4888f36c87bce69e4886dde48748f05\",0,\"number_theory_604649\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007752.lean\",\"5ca0e9dcfce9a9e2831b23940c70b0699118923606e82c93e3d7c4c26b134f33\",0,\"number_theory_628094\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007753.lean\",\"93000880b142699c7eb093f55eb42f4356c5ecff89a9d9d54bcb153e268e2500\",0,\"inequalities_125535\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328804,
+      "path": "data/train/p52/numina-001550-0000-bc44ff55172355f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "bc44ff55172355f1dc4e27e481b301fd14acabffef226eedb7681d84c97783b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001551.json b/manifests/batches/numina/001551.json
index 89c6c86502eaea6d0d4ed9b718246414bd667c29..6fac7d13f64666cb86d75cf9ad7c193e27c1644c 100644
--- a/manifests/batches/numina/001551.json
+++ b/manifests/batches/numina/001551.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001551",
   "batch_fingerprint": "d751eaf82565d4b6e4877701791ba3cc38d3ff267ca2f89b0063b557c5b0b679",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001551-0000-8bce6331da96187a.parquet",
-      "sha256": "8bce6331da96187acf412265dbd264a9bc7160fad79498d072a369a258231616",
-      "bytes": 309219,
-      "rows": 26,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:084c3fd4-e2ca-5bb5-aae2-bd4984e4b1b8",
     "numina:0a03020c-c47e-515e-8e7e-950998aaf425",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007757.lean\",\"950b8fc5f6674ddd9bedc516bce3b64fe511993072e91e03984b9713ccbd50ee\",0,\"number_theory_31249\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007758.lean\",\"a85ca928437a7e948a53b249077d4474b36af6ce5b3b9aadbd6740532829bf85\",0,\"algebra_96714\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007759.lean\",\"48ff524580c7e88adc9bcfdc757ab585886def7974af732778cf7b7068684e97\",0,\"algebra_10476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309219,
+      "path": "data/train/pbd/numina-001551-0000-8bce6331da96187a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "8bce6331da96187acf412265dbd264a9bc7160fad79498d072a369a258231616"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001552.json b/manifests/batches/numina/001552.json
index b4b3faa44298bd239079234d43ae47860da6c325..46144e2edb8663ce4788c96babfe945d39c21694 100644
--- a/manifests/batches/numina/001552.json
+++ b/manifests/batches/numina/001552.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001552",
   "batch_fingerprint": "6692b27b327b1e235aeeaee6dfdfaa9e8594d84d2ce44cc50205842cd6feb426",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001552-0000-a254a24da79ed9b0.parquet",
-      "sha256": "a254a24da79ed9b085a143bdefff1a38e57ad45b318712090a9d9b2df1c3b925",
-      "bytes": 619500,
-      "rows": 73,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b238266-1f10-5a05-90f3-91a0ee5b95c5",
     "numina:380238ba-8311-5821-b6a7-1da82897f127",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007762.lean\",\"20352efca1a1292e83eb7f33196f99f61320b3d2e6770a00932afa5580ee82c8\",0,\"number_theory_608453\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007763.lean\",\"9ad33a28dab23be731074f33225333e4b9676150ddb6596e689537f48e3a0615\",0,\"algebra_195684\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007764.lean\",\"290053ab83c85aee199c1a1449e590ed0104ec4d7932dbb2485730f5b11fc3fe\",0,\"number_theory_96736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619500,
+      "path": "data/train/p77/numina-001552-0000-a254a24da79ed9b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "a254a24da79ed9b085a143bdefff1a38e57ad45b318712090a9d9b2df1c3b925"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001553.json b/manifests/batches/numina/001553.json
index ac4cc6cdbbb43091d76d3153c4cf0d9ad4ea8482..8959434d0d5e4df09fdf98f87b373d5d1a35ee23 100644
--- a/manifests/batches/numina/001553.json
+++ b/manifests/batches/numina/001553.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001553",
   "batch_fingerprint": "6f2591fd64435d3596341d4db724fb1379eb3222a735a201731a631aa6dddfbb",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001553-0000-a74c69db64d48d98.parquet",
-      "sha256": "a74c69db64d48d98f28e28819fca8c0978fba2d419dfbd782b20ebc6f574c8ce",
-      "bytes": 359138,
-      "rows": 50,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    },
-    {
-      "path": "data/internal_test/numina-001553-0000-b9b06d01c464d2d5.parquet",
-      "sha256": "b9b06d01c464d2d5770687306d8fb7b9f62e2a8714c79fb511520f574a4b4945",
-      "bytes": 134466,
-      "rows": 14,
-      "revision": "e1cf5c29507210ccbb3de9ef26c7327564518560"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:61901edb-12e3-549b-97e5-5f5288b7fcd4",
     "numina:89c9c092-a99f-582d-9079-23a6cb8be3c5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007767.lean\",\"6784260c7302a30b9674899496485d665d4b9ccd76a1ab8367f9ee7f155dd746\",0,\"algebra_239179\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007768.lean\",\"ed135a2c002c43849be3187567f58cbf30b8cdd1eb8d8e39c613c9254d50d5d7\",0,\"inequalities_605327\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007769.lean\",\"6cc575a80c9e85a536efc15d493f396224f85fa6a2a6dd49a40615681248198d\",0,\"algebra_96747\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359138,
+      "path": "data/train/p40/numina-001553-0000-a74c69db64d48d98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "a74c69db64d48d98f28e28819fca8c0978fba2d419dfbd782b20ebc6f574c8ce"
+    },
+    {
+      "bytes": 134466,
+      "path": "data/internal_test/p40/numina-001553-0000-b9b06d01c464d2d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b9b06d01c464d2d5770687306d8fb7b9f62e2a8714c79fb511520f574a4b4945"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001554.json b/manifests/batches/numina/001554.json
index 4ffad0ef8385c419a0f86f4dbb68f478b715928a..ceac169d374011550e8a25de4ef0920898991d17 100644
--- a/manifests/batches/numina/001554.json
+++ b/manifests/batches/numina/001554.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001554",
   "batch_fingerprint": "ac86239bec6ba9dce401793e0b99ba8172b236f708cf2a7353ca86c2be0edf90",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001554-0000-d904ae773df66062.parquet",
-      "sha256": "d904ae773df660629da02ab4afe3fd7769dace44d946601e668d1639dcc487af",
-      "bytes": 105650,
-      "rows": 13,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/numina-001554-0000-b617d2078aed7eab.parquet",
-      "sha256": "b617d2078aed7eabf27ba888d15182fecb5471e2235f5582fef1c586a55fd0b8",
-      "bytes": 31906,
-      "rows": 5,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13de3d6e-d421-5e8a-9431-565395363eb5",
     "numina:174b8b4a-27cb-547b-b7c5-c88c0e38166c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007772.lean\",\"bdad097c8625a1c93f3c8c0cd21a003f3e0877ea661ad81c7746d2325ea12607\",0,\"number_theory_94105\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007773.lean\",\"e84358e912b4365e1fd5331fbf85272518d06b7fd7c55f4066f21becdc707fc6\",0,\"algebra_195789\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007774.lean\",\"ac8fe81e7b032ffb00e49803b29080093a328c07a797ec3042e89d70681aa1ef\",0,\"number_theory_605331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105650,
+      "path": "data/train/p84/numina-001554-0000-d904ae773df66062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d904ae773df660629da02ab4afe3fd7769dace44d946601e668d1639dcc487af"
+    },
+    {
+      "bytes": 31906,
+      "path": "data/internal_test/p84/numina-001554-0000-b617d2078aed7eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b617d2078aed7eabf27ba888d15182fecb5471e2235f5582fef1c586a55fd0b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001555.json b/manifests/batches/numina/001555.json
index 8c9494de433a2bdcb62b0742cccf3fb5b594026b..09c33e44ee7ecbcf33bb8d895396c034560ea5e9 100644
--- a/manifests/batches/numina/001555.json
+++ b/manifests/batches/numina/001555.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001555",
   "batch_fingerprint": "d8c0f5b2e9d75834fa6e452d8cf4ac9ed7cd10c77ca161ae6ccbc5cf6a7863ad",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001555-0000-4e296ea59e39c03b.parquet",
-      "sha256": "4e296ea59e39c03b6453caf8af9932a0af88ae5ae05bca7f68e01208b3725c94",
-      "bytes": 245988,
-      "rows": 56,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/numina-001555-0000-5f481e3c2282d669.parquet",
-      "sha256": "5f481e3c2282d669ea2d02d13449b04b99501bad976e1d6dae84154e1c6682a2",
-      "bytes": 325289,
-      "rows": 17,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:327d18cf-41ad-5199-9527-e21532f83b20",
     "numina:65d2af47-010f-5b37-8b11-be6b200aa33a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007777.lean\",\"b02eed2e45198dbce61c02868129942ca7d3b386db5abdeab1dc36c409fb1f6c\",0,\"inequalities_147164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007778.lean\",\"409da41997aa3cbce0b22470652d8f8399d8f6fd9f5cc49992732cf1509048ae\",0,\"inequalities_242496\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007779.lean\",\"8a8905bff354d17bc366e7491c7de8234b633b8a9ff0bd6334474a73346a9adf\",0,\"algebra_605332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245988,
+      "path": "data/train/p1a/numina-001555-0000-4e296ea59e39c03b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "4e296ea59e39c03b6453caf8af9932a0af88ae5ae05bca7f68e01208b3725c94"
+    },
+    {
+      "bytes": 325289,
+      "path": "data/internal_test/p1a/numina-001555-0000-5f481e3c2282d669.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5f481e3c2282d669ea2d02d13449b04b99501bad976e1d6dae84154e1c6682a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001556.json b/manifests/batches/numina/001556.json
index 252089f3e10408b1d9bcfba32347afa45cfb44cf..66a558f274d3f0cea6c153288aa16f89f8b65ec9 100644
--- a/manifests/batches/numina/001556.json
+++ b/manifests/batches/numina/001556.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001556",
   "batch_fingerprint": "bd22a6323a53872892072ec8bdf09ac770fbbf5b022b4e3ceec0e8056d08faf1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001556-0000-c283b48674c47705.parquet",
-      "sha256": "c283b48674c47705ce54d07fb3164cc02309daa69ea37f532f5bd65494a1fa1d",
-      "bytes": 347340,
-      "rows": 29,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/numina-001556-0000-664be0a02841836f.parquet",
-      "sha256": "664be0a02841836fee685b384a4623c41b34c12f020eabd5534e147e76ecd9c0",
-      "bytes": 55709,
-      "rows": 3,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08cde141-2a4a-5d95-9cc9-20803a7b5fd5",
     "numina:48373f66-efef-5996-8af7-56604028f92f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007782.lean\",\"745b5834e31f07ca814521727618f792f9af346eaab55edfcfbc8d43bfa45bb9\",0,\"algebra_9334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007783.lean\",\"3896c65ccbaedf970fc899f1bdc80c6bb54c4457a140cf025b454fd303dbcd4b\",0,\"number_theory_242607\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007784.lean\",\"901a8faf9b9cebafd4b7bc1b3ce0fa6e5f1a066a233fd2700dcffd04e491d6e2\",0,\"algebra_607928\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347340,
+      "path": "data/train/p24/numina-001556-0000-c283b48674c47705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c283b48674c47705ce54d07fb3164cc02309daa69ea37f532f5bd65494a1fa1d"
+    },
+    {
+      "bytes": 55709,
+      "path": "data/internal_test/p24/numina-001556-0000-664be0a02841836f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "664be0a02841836fee685b384a4623c41b34c12f020eabd5534e147e76ecd9c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001557.json b/manifests/batches/numina/001557.json
index be39b4d7cd04b742161cc08aba5454b433e32e1e..498897ff92c747ac2e38945fd65d5809bcd520ef 100644
--- a/manifests/batches/numina/001557.json
+++ b/manifests/batches/numina/001557.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001557",
   "batch_fingerprint": "74c3bc2382696576ea91f716ae6d9a8f2f014f235c4b824a9e4d715f5032438a",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001557-0000-6d01911af4a8871f.parquet",
-      "sha256": "6d01911af4a8871f6b03f7d848b075a7a8b4071bf41ed571efa8036873cdab67",
-      "bytes": 245765,
-      "rows": 12,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/numina-001557-0000-f42d7bcdbe0e1774.parquet",
-      "sha256": "f42d7bcdbe0e177465dde8390d32140beff20b26faba898ffb20c37a0fb18b18",
-      "bytes": 79650,
-      "rows": 3,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ec916de-7bf8-5904-86c3-30dded66a7e3",
     "numina:4c39d86a-ce59-554f-930d-208ad0aeff7f",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007786.lean\",\"56528f53e9beebf6404333b39e78879ea3a850e4a6a15c9beacb17bb08766204\",0,\"inequalities_605334\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007788.lean\",\"32bf5171f8c08b0ffb51470e1b8c9cba446e2ab98773364bab6408d0f31cbd17\",0,\"algebra_2125\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007789.lean\",\"625383cde902d7dd8301c07527edffbb9ec90fae43b170192edecae15c085169\",0,\"inequalities_147302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245765,
+      "path": "data/train/pd3/numina-001557-0000-6d01911af4a8871f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6d01911af4a8871f6b03f7d848b075a7a8b4071bf41ed571efa8036873cdab67"
+    },
+    {
+      "bytes": 79650,
+      "path": "data/internal_test/pd3/numina-001557-0000-f42d7bcdbe0e1774.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f42d7bcdbe0e177465dde8390d32140beff20b26faba898ffb20c37a0fb18b18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001558.json b/manifests/batches/numina/001558.json
index 86440ee9d22152e042c36347efa3bc4e0092bd27..19229c3bd9f0c05a2b332a5131ee4f78cfc0e376 100644
--- a/manifests/batches/numina/001558.json
+++ b/manifests/batches/numina/001558.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001558",
   "batch_fingerprint": "08211ba01a05e7922c7dd816560eb0116dd1b40fc077adb00819ef5a3d7bf1b4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001558-0000-6d4427e9f873c35b.parquet",
-      "sha256": "6d4427e9f873c35ba0f69d011cc7cc53e631cc90ba0dfbad8bd915181e7ae436",
-      "bytes": 282215,
-      "rows": 40,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:14263e8d-65e7-5b44-9fab-e013d76f10e9",
     "numina:2da19163-10a8-5363-a3d8-c93b0e9e4f0e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007792.lean\",\"3c2882c5c6b1477f728e1d3306ebf5e641e978fdb9d8753f05997603583f377f\",0,\"calculus_22444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007793.lean\",\"dc2f36fd5a4001c669655d1553938a187c9c68c1206a3c987f0849803c83d754\",0,\"algebra_195540\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007794.lean\",\"9b6aebbb67e63deb6376a8076dfff9fab57eac18a3b916795fd7e5723b67ad7c\",0,\"algebra_5015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 282215,
+      "path": "data/train/p9c/numina-001558-0000-6d4427e9f873c35b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "6d4427e9f873c35ba0f69d011cc7cc53e631cc90ba0dfbad8bd915181e7ae436"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001559.json b/manifests/batches/numina/001559.json
index 5f0f235a1b9021fd5f542829dbbc0db3b3d902af..416f6d22f08f9d5a3901509d8152dd9c7fcdde66 100644
--- a/manifests/batches/numina/001559.json
+++ b/manifests/batches/numina/001559.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001559",
   "batch_fingerprint": "53aee9ee7c4886774343d42be9cafe9e5894737287093fb3f516a7a1ee765b70",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001559-0000-26a58ef093908368.parquet",
-      "sha256": "26a58ef093908368536ffd8148c444cb564d4f54f30e842777831dc47eb7d146",
-      "bytes": 221273,
-      "rows": 29,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/dev/numina-001559-0000-5f6adc917117404e.parquet",
-      "sha256": "5f6adc917117404e88f6a64458d8c1c032c9ab7268bb563617365f39ac77715f",
-      "bytes": 403429,
-      "rows": 39,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1023cb5e-624f-53db-9c28-9b3bd85e964a",
     "numina:1ca15334-610c-5fe5-bd90-127c26262974",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007797.lean\",\"2e9093400aa978e1638e98d8613baf9d09ee5d635845678ce3c4a5a357b350ef\",0,\"algebra_242644\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007798.lean\",\"532f6d62c8d84297c066c742d4cd9efc549727c257e4f485daff9fd53657a431\",0,\"inequalities_171841\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007799.lean\",\"4d70bfb10e7e8432b58bcfb9007903cbec7228b08a1da732f2e4fa37b78d23d6\",0,\"number_theory_285062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221273,
+      "path": "data/train/p31/numina-001559-0000-26a58ef093908368.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "26a58ef093908368536ffd8148c444cb564d4f54f30e842777831dc47eb7d146"
+    },
+    {
+      "bytes": 403429,
+      "path": "data/dev/p31/numina-001559-0000-5f6adc917117404e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "5f6adc917117404e88f6a64458d8c1c032c9ab7268bb563617365f39ac77715f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001560.json b/manifests/batches/numina/001560.json
index b10d4e784d1c5c22f00990773d2c8d3753a64221..64959e9080b83686e4ac84ba3424e45c69755d1d 100644
--- a/manifests/batches/numina/001560.json
+++ b/manifests/batches/numina/001560.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001560",
   "batch_fingerprint": "ffb91600f4eb56f20b3b6dfefa830278ff3111bdadc238ec5bf95854a5ddba66",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001560-0000-95a0cd7c609a999e.parquet",
-      "sha256": "95a0cd7c609a999efd30a2732dbe86d64133275964f21d79d868df5696a62e16",
-      "bytes": 713207,
-      "rows": 47,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5db29404-f21b-5b4b-84de-d6456769ccbc",
     "numina:8bcf9b4b-5e0a-5ca3-8ce5-1de8a7d21df3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007802.lean\",\"c5dab223d586fb452e2a31f295eb351902bc694e6f59f711b93bcf4cfe744ce2\",0,\"number_theory_159039\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007803.lean\",\"9a0d93d36e69e0987412c8364a0cbfc00acb52044fdf2cf490a96cc9127e3f23\",0,\"algebra_259807\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007804.lean\",\"bd528a10e7862e0f92e49b8c7411d6c13e168ed023d8cb9727eb7894dae10c2c\",0,\"inequalities_607935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 713207,
+      "path": "data/train/p4c/numina-001560-0000-95a0cd7c609a999e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "95a0cd7c609a999efd30a2732dbe86d64133275964f21d79d868df5696a62e16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001561.json b/manifests/batches/numina/001561.json
index 5008f7d04a7d1a7eaa5a9fe3b4bb2e8b49ed419c..e08140b84d847beda2cc4f252f8a667abe8c0a52 100644
--- a/manifests/batches/numina/001561.json
+++ b/manifests/batches/numina/001561.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001561",
   "batch_fingerprint": "7f7b0c0482a6456eb2b4dacc50d27c0ab1167e9adae1e0c918260c3957ae800d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001561-0000-132e1e9e054f4cef.parquet",
-      "sha256": "132e1e9e054f4cefd31ef4eb044bd6f182637c68b7153c9a861ddb7f7359c1e6",
-      "bytes": 399563,
-      "rows": 38,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    },
-    {
-      "path": "data/internal_test/numina-001561-0000-cd5f6239c69e33fa.parquet",
-      "sha256": "cd5f6239c69e33fa960aaed8af627a5400f858b901b11757d86258e049f79972",
-      "bytes": 63252,
-      "rows": 1,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2234b0d3-b45c-58b1-9cfc-a97e6de37ff9",
     "numina:24b3bf51-64cb-5520-8e8c-177a3131004c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007807.lean\",\"ede101ec03c648e04a2e6487aeecd7f8423f9a93e4226ed5e1b502f62d175ccd\",0,\"inequalities_605707\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007808.lean\",\"d9ca74f67abfc427a4d240222f3fae072f9dff036aab7a8ac9b0498acabc4315\",0,\"algebra_9438\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007809.lean\",\"2c57858e8d501b378e13b335cf5a683bb19bfe24ee0f238e5e26caa1f3ee1e3a\",0,\"algebra_95256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399563,
+      "path": "data/train/p61/numina-001561-0000-132e1e9e054f4cef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "132e1e9e054f4cefd31ef4eb044bd6f182637c68b7153c9a861ddb7f7359c1e6"
+    },
+    {
+      "bytes": 63252,
+      "path": "data/internal_test/p61/numina-001561-0000-cd5f6239c69e33fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "cd5f6239c69e33fa960aaed8af627a5400f858b901b11757d86258e049f79972"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001562.json b/manifests/batches/numina/001562.json
index 886d1d822b7226030285afa27d7fc13474f4d0b5..5266b4b9822bf0b2fc41e586ebb357aa7084ce97 100644
--- a/manifests/batches/numina/001562.json
+++ b/manifests/batches/numina/001562.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001562",
   "batch_fingerprint": "ddf6ab1a9031becbc87ef5df54e7e72546888e1787ad3228feb749ff92446da4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001562-0000-322425abf171e435.parquet",
-      "sha256": "322425abf171e43558153a3bffd39558d2ac25c397620fadee99b34f765fd446",
-      "bytes": 406309,
-      "rows": 41,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/dev/numina-001562-0000-49ee2721b1630714.parquet",
-      "sha256": "49ee2721b1630714abcb507ab9135dad78e1b4961aaca0b0d918bca7be01efc1",
-      "bytes": 102340,
-      "rows": 9,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    },
-    {
-      "path": "data/internal_test/numina-001562-0000-adf39db35edc2279.parquet",
-      "sha256": "adf39db35edc227942aa992927dfdb4ae72254db069e8513fa9d82d243d12838",
-      "bytes": 649628,
-      "rows": 7,
-      "revision": "c84058dd668199053b11c513c8f229d4a70dc77b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:572e960e-22bf-5c2f-a1de-f73455886d00",
     "numina:c6fa65a5-4b83-5e16-958d-e4210c04ffe4",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007812.lean\",\"a33b2dfbf1a5b6d7afa4bb68ede56ee32412f0249df6e8552f749879f096109e\",0,\"algebra_287838\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007813.lean\",\"62dfe4fd8ba091c1332b26c8664297d6bc1c4fd60ae74a3cc262133ace2a77e3\",0,\"algebra_322405\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007814.lean\",\"879fa1f38a3e4e141ced92b5b47e2cc65d89c4499a790ef421d5167470b9ab0c\",0,\"inequalities_66734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406309,
+      "path": "data/train/p41/numina-001562-0000-322425abf171e435.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "322425abf171e43558153a3bffd39558d2ac25c397620fadee99b34f765fd446"
+    },
+    {
+      "bytes": 102340,
+      "path": "data/dev/p41/numina-001562-0000-49ee2721b1630714.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "49ee2721b1630714abcb507ab9135dad78e1b4961aaca0b0d918bca7be01efc1"
+    },
+    {
+      "bytes": 649628,
+      "path": "data/internal_test/p41/numina-001562-0000-adf39db35edc2279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "adf39db35edc227942aa992927dfdb4ae72254db069e8513fa9d82d243d12838"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001563.json b/manifests/batches/numina/001563.json
index 7e3585dac0422c96ec047a3f1baa06cd03781c62..ee14f7633c632374ad3f02fae6f7c0d83ffd189e 100644
--- a/manifests/batches/numina/001563.json
+++ b/manifests/batches/numina/001563.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001563",
   "batch_fingerprint": "96086c54d495768b6ce79bbdbe0e2cd8d2e0c2a82b3dd45d7ea4d12cc84fffc7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001563-0000-8b21c120f842defe.parquet",
-      "sha256": "8b21c120f842defe414ad0c885ef7c03cd500801d3e6da8b7ea9266152b8cfc7",
-      "bytes": 127324,
-      "rows": 21,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:642105aa-cc0a-523f-88f3-7e7c897aa59e",
     "numina:69864358-7a09-5e25-8b72-3c8a43d4c93b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007817.lean\",\"6421b7598bf64d1f6870a5084142dad9d0eba0ac4c0cbcb28be6f8dc24dcd7fd\",0,\"algebra_178712\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007818.lean\",\"e989201f775ec0e10497cf74852ae4d9a734e0b496534b86d2839dcaa1ac0f16\",0,\"number_theory_609208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007819.lean\",\"c2be25770d403dff0ce6c340c7363b772909519af36fddb8dd8b1463e68851fa\",0,\"algebra_22200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127324,
+      "path": "data/train/pf0/numina-001563-0000-8b21c120f842defe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8b21c120f842defe414ad0c885ef7c03cd500801d3e6da8b7ea9266152b8cfc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001564.json b/manifests/batches/numina/001564.json
index e48cec64100ea82bb463e7132402b178f250221a..48e4e543882768b8ae9332c69342bd4e26fd29be 100644
--- a/manifests/batches/numina/001564.json
+++ b/manifests/batches/numina/001564.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001564",
   "batch_fingerprint": "79393eb8f2befa4af1cd608d5ccf465936f33cd7014d5cee81666b33cdb8fbd3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001564-0000-94c927d258441c70.parquet",
-      "sha256": "94c927d258441c7086e1cc28bd41b6d4180eeb2397ae205c7f57b9fee00e2673",
-      "bytes": 238100,
-      "rows": 28,
-      "revision": "d0b97b9ba12ee9b2c21c3009c868f4997eda923e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5bb138e3-fe9a-58dd-b207-98279a8c499c",
     "numina:72de498a-6f83-5176-987e-bb92815dcf72",
@@ -40,5 +31,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007823.lean\",\"f9a259575a8d6bd476ea866dd9f2c835d787417f79ec5c3b1135808c4003dc0b\",0,\"number_theory_608457\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007824.lean\",\"4f0c912a469744868e26a6e287be80b976ad750956740f808169ccb3bb80bac8\",0,\"algebra_16643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238100,
+      "path": "data/train/p66/numina-001564-0000-94c927d258441c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "94c927d258441c7086e1cc28bd41b6d4180eeb2397ae205c7f57b9fee00e2673"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001565.json b/manifests/batches/numina/001565.json
index 7abdfc53df72d8aaf780e4fcb83ee629115a51a8..18562507fa3db18e11fa9512a9a7e493c49832d3 100644
--- a/manifests/batches/numina/001565.json
+++ b/manifests/batches/numina/001565.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001565",
   "batch_fingerprint": "098344114fda7de11cc7d680b725efbd4b0ffebd2e251d47343639360f9dc2d6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001565-0000-578402d33986cc0b.parquet",
-      "sha256": "578402d33986cc0bb9917dd497d68518b4ec0210e306c090be79ee5885c32735",
-      "bytes": 644476,
-      "rows": 39,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:232bf198-412d-5559-ac06-162bcb9370d4",
     "numina:99ee27c0-b3c0-5a10-94bf-5859d0ffe4fa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007827.lean\",\"78dbe7f32110402e651a7039ac520ee66e5b39ee27e87423abf44c00e1d5dfeb\",0,\"number_theory_222844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007828.lean\",\"19c581584ff4620cf6b06b5d54c6b3a1456bbde57b96d93d911e52f4cd98d473\",0,\"inequalities_122914\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007829.lean\",\"056d09f627781762700f15de91e52c01f66f35fb620f9d6f981f7aafd0b45dd9\",0,\"algebra_9441\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 644476,
+      "path": "data/train/p31/numina-001565-0000-578402d33986cc0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "578402d33986cc0bb9917dd497d68518b4ec0210e306c090be79ee5885c32735"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001566.json b/manifests/batches/numina/001566.json
index 7e9df757ec1677ade3c0f7a875dfbb0a22be7030..171558b3a0c76777fbea4979bcdbccc7490eecd3 100644
--- a/manifests/batches/numina/001566.json
+++ b/manifests/batches/numina/001566.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001566",
   "batch_fingerprint": "c14a2ef0e5803b09a72dbef48b4ee9c6431348368057baeda692f73601f431e1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001566-0000-11adea0527156356.parquet",
-      "sha256": "11adea052715635675d5baba9914a245f8f80c04eb8be9fc6bfa15fa9c670762",
-      "bytes": 425191,
-      "rows": 41,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8e7faa3b-2469-51be-8680-ffe9a0361550",
     "numina:a5626ac7-f79b-5807-8e92-48ff958f855d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007832.lean\",\"2a9257d53db1cb32dba0a8f130b093fc1269d0ac140f5cdf469e2f960fea5853\",0,\"inequalities_129966\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007833.lean\",\"1b89f2065a193bbb0241fe9d402814c1c39d2a67663d665be81cd773cb06d167\",0,\"algebra_95276\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007834.lean\",\"403e4cb80c520988c457c04b72d2e6d7b0324a1ec6ba84e458c0570a88318138\",0,\"number_theory_237412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425191,
+      "path": "data/train/p3a/numina-001566-0000-11adea0527156356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "11adea052715635675d5baba9914a245f8f80c04eb8be9fc6bfa15fa9c670762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001567.json b/manifests/batches/numina/001567.json
index 6a6212982daad12eb29b3c054a92f1c7c82a488f..e42a6dd8089a25145c66e5ab8aeec24a7fd5818c 100644
--- a/manifests/batches/numina/001567.json
+++ b/manifests/batches/numina/001567.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001567",
   "batch_fingerprint": "1a1ad7da3fc9da064448e307e480848ea4323fcb6772ad4979c0b90a9705c6eb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001567-0000-0c27f9e09629f3a6.parquet",
-      "sha256": "0c27f9e09629f3a65d195dd8138c5650dc8cc735e32f72ee5a165a0d782798fb",
-      "bytes": 228714,
-      "rows": 34,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3891eee0-836a-5d64-81be-30acfe1a6b93",
     "numina:6c1c5a83-67eb-5c67-847c-538dbc6e82a4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007837.lean\",\"3d73bdc73a657a9f02d47105c26c41341a5e8c73725c1177a8dafc7ef2eabf7f\",0,\"algebra_190538\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007838.lean\",\"62a322fc4d61bbb7f63af01d26768bd46d361dae6fcdc2e4e450ac27bc7f004c\",0,\"algebra_9442\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007839.lean\",\"fdab8b43bdea2b0ca846e3d66557458cc766547670145fcc80b7456c838af509\",0,\"algebra_20384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228714,
+      "path": "data/train/pb2/numina-001567-0000-0c27f9e09629f3a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "0c27f9e09629f3a65d195dd8138c5650dc8cc735e32f72ee5a165a0d782798fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001568.json b/manifests/batches/numina/001568.json
index fee92e82ae889c26f0ce9bdfbdb48d11f704a9c7..b02b52aebccd97ebd66091801fc67aebe3df6ef0 100644
--- a/manifests/batches/numina/001568.json
+++ b/manifests/batches/numina/001568.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001568",
   "batch_fingerprint": "36d1d80325c9f4822cbba8a28dded209a0424222ccaadc197771ab32670c1fc9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001568-0000-8328aca366b19e74.parquet",
-      "sha256": "8328aca366b19e7426b4aef88dcedd88f8cd4379f21e31614d81245f285d9ab3",
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-      "rows": 29,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/train/numina-001568-0001-1f27a45217992227.parquet",
-      "sha256": "1f27a452179922275cda210563648f92a922d5ac06cbb3b7197e412d69d64b4b",
-      "bytes": 86735,
-      "rows": 3,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d1189cc-7d7c-5a74-a8b1-3b02c95d997b",
     "numina:3c540932-a706-521c-9f82-515749d68b49",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007842.lean\",\"07b6257decf6b1e427e43166f462d2db07d9897d2038d39e219bc9abfbbcfccd\",0,\"number_theory_605125\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007843.lean\",\"0d42b8620f3d386af3eaa029e1a0906a02c6459b94dcdf89703f4840a702d278\",0,\"algebra_9424\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007844.lean\",\"ea0e3bb6bd453767be1b55c0157bb3e5d9c5162e014405fa5b20babefe01cbb2\",0,\"algebra_130071\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588692,
+      "path": "data/train/p95/numina-001568-0000-8328aca366b19e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "8328aca366b19e7426b4aef88dcedd88f8cd4379f21e31614d81245f285d9ab3"
+    },
+    {
+      "bytes": 86735,
+      "path": "data/train/p95/numina-001568-0001-1f27a45217992227.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1f27a452179922275cda210563648f92a922d5ac06cbb3b7197e412d69d64b4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001569.json b/manifests/batches/numina/001569.json
index 86be7a2962e7c243b749193119da9ac74eabf1ab..f0caf4acacbe7e9ebca3dab5200ff41c7cc93238 100644
--- a/manifests/batches/numina/001569.json
+++ b/manifests/batches/numina/001569.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001569",
   "batch_fingerprint": "4e455f6b1a42a24faec647b0e916b349d546f67d839198991d410c5afcf63746",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001569-0000-d99570e8a845760b.parquet",
-      "sha256": "d99570e8a845760b82c4f400646b5308ff8cdf776f68ee0d320a9435a566d96e",
-      "bytes": 266860,
-      "rows": 48,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/numina-001569-0000-71b1ab28e02a641b.parquet",
-      "sha256": "71b1ab28e02a641b7ffd8b4a01ce9c3694d23c762c9effe72a0a135ea3f88bdb",
-      "bytes": 30225,
-      "rows": 2,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:59156dfc-26e7-5c75-be39-c4b2350d34c5",
     "numina:6fe1af2e-d5c9-5bf7-aeb3-f837241a46f8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007847.lean\",\"b758de450c5595c5cccb80b433e4c63891b96e7cf827f5301b9900c5ccfe572d\",0,\"algebra_13783\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007848.lean\",\"a85757810e0fcf580575900b3b51011810c6dd2b26347193b57f0179057b80d4\",0,\"algebra_605126\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007849.lean\",\"858d824ff9b66153787073fccedded964bbf498855080ead90b6d17106bb65f5\",0,\"algebra_273928\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266860,
+      "path": "data/train/pd2/numina-001569-0000-d99570e8a845760b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "d99570e8a845760b82c4f400646b5308ff8cdf776f68ee0d320a9435a566d96e"
+    },
+    {
+      "bytes": 30225,
+      "path": "data/internal_test/pd2/numina-001569-0000-71b1ab28e02a641b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "71b1ab28e02a641b7ffd8b4a01ce9c3694d23c762c9effe72a0a135ea3f88bdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001570.json b/manifests/batches/numina/001570.json
index 65b8a03c86f6812fc4d7d42e49d69998fae55717..350addc2a66f823d3a36b421cbc37d360bcbdba3 100644
--- a/manifests/batches/numina/001570.json
+++ b/manifests/batches/numina/001570.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001570",
   "batch_fingerprint": "4f759fb8d4a9f434caca48cbd9bcb181b8d0dea56a4c0d745d80de373cb367c2",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001570-0000-bf2cdaeb25cffbbb.parquet",
-      "sha256": "bf2cdaeb25cffbbbe03bf09ae03aa9788bad65814bb4a18876be7c389968cd7a",
-      "bytes": 210632,
-      "rows": 20,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:108c2b76-9c5f-5d07-b818-7ce9723a60ab",
     "numina:1ecbfcee-5d60-5ace-9ff5-b4275e1cdabb",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007851.lean\",\"9cd804e89b250abba6b82ad4d396089b841a23394afe9cec4a3b032aa107f5a3\",0,\"number_theory_178871\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007853.lean\",\"6d619591875eb6d8fa595dcd347d6bff28bf1ca7c81d0626d523a3b0fbf6cd48\",0,\"algebra_10237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210632,
+      "path": "data/train/pfa/numina-001570-0000-bf2cdaeb25cffbbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "bf2cdaeb25cffbbbe03bf09ae03aa9788bad65814bb4a18876be7c389968cd7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001571.json b/manifests/batches/numina/001571.json
index 2e41ee54feaa59654cc1ca934ee07cd958f7f949..34d39a107c47f547967ac29e99c6ffc63a952dbe 100644
--- a/manifests/batches/numina/001571.json
+++ b/manifests/batches/numina/001571.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001571",
   "batch_fingerprint": "2cd160dac115c2307a4b5a5728f88baf88386224d8f51f094c16c3f79e40a0b8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001571-0000-0bdd118b32d3931b.parquet",
-      "sha256": "0bdd118b32d3931bcd9f7763bc04d06933c20539b7ee061917d91148fc52959e",
-      "bytes": 162283,
-      "rows": 21,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/numina-001571-0000-82065b018d2fc6b8.parquet",
-      "sha256": "82065b018d2fc6b82d69e3624834d150c951cf5528ff8133545c4879bf325f47",
-      "bytes": 54808,
-      "rows": 9,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0159d31f-6038-5c2c-ab82-791f3b3e315a",
     "numina:07bf7efd-e978-50b0-8ad7-6f28bca0ef43",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007858.lean\",\"d73cd6a4cdad2fe1c29c38b23e8e5c12007f3d9ce45fa311f524199904a367ac\",0,\"algebra_22166\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007859.lean\",\"b40c2b7ef6e945282637bb7891d1faef77c2b16e1e6c9a81cf89b818ec286ecb\",0,\"algebra_10238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162283,
+      "path": "data/train/p06/numina-001571-0000-0bdd118b32d3931b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0bdd118b32d3931bcd9f7763bc04d06933c20539b7ee061917d91148fc52959e"
+    },
+    {
+      "bytes": 54808,
+      "path": "data/internal_test/p06/numina-001571-0000-82065b018d2fc6b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "82065b018d2fc6b82d69e3624834d150c951cf5528ff8133545c4879bf325f47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001572.json b/manifests/batches/numina/001572.json
index f29f7f1ee8b2665f024d2f885997004c85ba939f..75ad784ff0357ded9d6f393f2ccade51d0994e1c 100644
--- a/manifests/batches/numina/001572.json
+++ b/manifests/batches/numina/001572.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001572",
   "batch_fingerprint": "231065ebd9f6b8057a220b41985d3373373b77b92ab7c44e7863518503b95869",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001572-0000-60536e011be5a270.parquet",
-      "sha256": "60536e011be5a270d2b72b7c565df1720103ec69df3be24e593459782b3d54a7",
-      "bytes": 107904,
-      "rows": 12,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/dev/numina-001572-0000-1f8b1f856c414c5f.parquet",
-      "sha256": "1f8b1f856c414c5f0dd31c9469301031fa2208a38250e8906e638335846e6a23",
-      "bytes": 109978,
-      "rows": 7,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/numina-001572-0000-a0ea5eac1d1361d9.parquet",
-      "sha256": "a0ea5eac1d1361d96bc35c09dda09d78fa4176789a44bcbdbd57f39965583ef1",
-      "bytes": 199935,
-      "rows": 16,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:260728a4-53f0-582c-8757-245fcb3c433f",
     "numina:69bfaa08-a0c4-5135-857a-0901c10d675a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007862.lean\",\"197af44b9bc9c1e6136ba686b177dd8820ede89c6556e0de72722b27719bbf73\",0,\"algebra_607708\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007863.lean\",\"221a6851e0c19dc3ef06ca65176bf8c4d340ed44ac018ce992812f29a8e66075\",0,\"algebra_190678\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007864.lean\",\"c19e30f52a6aa7f13469bc1c628883868d8b8e93601b3a63f09e41fc16e692d1\",0,\"algebra_605213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107904,
+      "path": "data/train/p76/numina-001572-0000-60536e011be5a270.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "60536e011be5a270d2b72b7c565df1720103ec69df3be24e593459782b3d54a7"
+    },
+    {
+      "bytes": 109978,
+      "path": "data/dev/p76/numina-001572-0000-1f8b1f856c414c5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1f8b1f856c414c5f0dd31c9469301031fa2208a38250e8906e638335846e6a23"
+    },
+    {
+      "bytes": 199935,
+      "path": "data/internal_test/p76/numina-001572-0000-a0ea5eac1d1361d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a0ea5eac1d1361d96bc35c09dda09d78fa4176789a44bcbdbd57f39965583ef1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001573.json b/manifests/batches/numina/001573.json
index 8ac9365bf8cf1109cdbdf76d083217aabaa55c77..93009361e0c772eebca53c42138a4ac00dffadd6 100644
--- a/manifests/batches/numina/001573.json
+++ b/manifests/batches/numina/001573.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001573",
   "batch_fingerprint": "9cd96c7533b9a133c7fda9f95ef25e8e5036f06c9592d60e030a3d6c690d685c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001573-0000-452d417390327ba0.parquet",
-      "sha256": "452d417390327ba0d0a4799b2e9eb37a34eac8f759e5bdb99ad369031e0a831f",
-      "bytes": 104599,
-      "rows": 12,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/numina-001573-0000-4670adf264e040ff.parquet",
-      "sha256": "4670adf264e040ffc04b8d901afd89bbcae62c2a0c9f7d9a3b4144ddc887175c",
-      "bytes": 136442,
-      "rows": 11,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ea53b6f-9b16-539e-811a-441a342fc435",
     "numina:5c42e8b8-8a45-5742-8114-1f7f3897b831",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007867.lean\",\"64722c72bb77c688bd48d56d99af9d54cb33b38a4a48d51408280d694019b3e9\",0,\"algebra_607711\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007868.lean\",\"3a913d8a55b29dedb12f85a05888a8390467d27fea52e7c13935ed3ef36d3ef4\",0,\"calculus_23100\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007869.lean\",\"509d78d68bdd502c1c9f9fc8e6c9128c7d35c6c21d768481e2be538f25c8704c\",0,\"number_theory_97155\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104599,
+      "path": "data/train/pda/numina-001573-0000-452d417390327ba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "452d417390327ba0d0a4799b2e9eb37a34eac8f759e5bdb99ad369031e0a831f"
+    },
+    {
+      "bytes": 136442,
+      "path": "data/internal_test/pda/numina-001573-0000-4670adf264e040ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4670adf264e040ffc04b8d901afd89bbcae62c2a0c9f7d9a3b4144ddc887175c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001574.json b/manifests/batches/numina/001574.json
index 442c6309917d0c73eac31aba168f09d000433e78..5786df8402ee499215246a4b53a92c50a84ea4a4 100644
--- a/manifests/batches/numina/001574.json
+++ b/manifests/batches/numina/001574.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001574",
   "batch_fingerprint": "c231af1e2d7779043154d9cebf4ace1862140c45a2999593d924ee342c97e03d",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001574-0000-8322bc6279c1d50c.parquet",
-      "sha256": "8322bc6279c1d50c0b7b7ec63dd60e740b722605a259cf3388942bd3d6811459",
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-      "rows": 35,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/train/numina-001574-0001-42efb554e51b3700.parquet",
-      "sha256": "42efb554e51b3700c12f228814bd3af301295c427d70c16a0f595115dd8bf9fe",
-      "bytes": 767254,
-      "rows": 34,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    },
-    {
-      "path": "data/train/numina-001574-0002-c4327a1ed80255d2.parquet",
-      "sha256": "c4327a1ed80255d210284f3c5585d80206cc7098aaf3a4d0d7ff101a20a608b6",
-      "bytes": 555804,
-      "rows": 10,
-      "revision": "7ba65abebf7c8768b89d243a1b710d05b7e65f48"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:000aaea2-86f4-5706-b577-c7cada31de27",
     "numina:21296e1b-39c0-5d0d-96b6-8b95b005a8cc",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007872.lean\",\"fa27662a625df4d635952ea6f5b3e9852aced7dc66ec624335ed2dadde3a01f2\",0,\"algebra_249327\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007873.lean\",\"36d2899747c38b0417492dd4488b425379b2336fdb2de282e3ce64b32025c4bf\",0,\"inequalities_607712\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007874.lean\",\"9e750acd4075446ed00c6f2f571cbd1b5cdcff4e8849536a0370873d702005bf\",0,\"number_theory_298041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 825864,
+      "path": "data/train/p80/numina-001574-0000-8322bc6279c1d50c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "8322bc6279c1d50c0b7b7ec63dd60e740b722605a259cf3388942bd3d6811459"
+    },
+    {
+      "bytes": 767254,
+      "path": "data/train/p80/numina-001574-0001-42efb554e51b3700.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "42efb554e51b3700c12f228814bd3af301295c427d70c16a0f595115dd8bf9fe"
+    },
+    {
+      "bytes": 555804,
+      "path": "data/train/p80/numina-001574-0002-c4327a1ed80255d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c4327a1ed80255d210284f3c5585d80206cc7098aaf3a4d0d7ff101a20a608b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001575.json b/manifests/batches/numina/001575.json
index 660b7d1c5f1700ff38b48d9a33b16802b51bcc58..c337487ae939e69664f1d74c8c13090b47f4fbed 100644
--- a/manifests/batches/numina/001575.json
+++ b/manifests/batches/numina/001575.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001575",
   "batch_fingerprint": "7d81a52e37bccaf8fb9d4ee9f18e742527d020c34ad96b108db292edc5f41531",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001575-0000-86fa3ca508af597a.parquet",
-      "sha256": "86fa3ca508af597a9e94738dff17ae0665bd1edc15fe8f704a459a84ebe13ba4",
-      "bytes": 172552,
-      "rows": 17,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    },
-    {
-      "path": "data/internal_test/numina-001575-0000-d5ca103b3528339e.parquet",
-      "sha256": "d5ca103b3528339e33ea4141c30e4efe000ad0c184dae70141d65a4234963921",
-      "bytes": 52040,
-      "rows": 8,
-      "revision": "e01ca130e5c0002d42c2e77dbefc4b29e6de38cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0262cdc9-d7e7-5bf4-8eef-3fdfa8dfd041",
     "numina:565b7bac-a57c-5ee3-bd74-eb9544063704",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007877.lean\",\"eb4173b42403c7428720a8c9b3e7bd71afe1b14ecf5a34e1e9cd09f82ca2523b\",0,\"number_theory_23102\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007878.lean\",\"639deca8d696b1a0f2f928b41f219cd9ce52b2e0b4ce8073dc0e000ec6545f5d\",0,\"algebra_10248\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007879.lean\",\"cde5006c28bf493e96b4fe7a771502f0077fad2ca9e407e3e10483ad06e2736d\",0,\"algebra_71960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172552,
+      "path": "data/train/p0e/numina-001575-0000-86fa3ca508af597a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "86fa3ca508af597a9e94738dff17ae0665bd1edc15fe8f704a459a84ebe13ba4"
+    },
+    {
+      "bytes": 52040,
+      "path": "data/internal_test/p0e/numina-001575-0000-d5ca103b3528339e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d5ca103b3528339e33ea4141c30e4efe000ad0c184dae70141d65a4234963921"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001576.json b/manifests/batches/numina/001576.json
index 1ccb63b59c40ce7cfde9a7309b93bf23bff165dc..af912e03d2b1e2500758c796e5cd7fe4057e2a8d 100644
--- a/manifests/batches/numina/001576.json
+++ b/manifests/batches/numina/001576.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001576",
   "batch_fingerprint": "8063006f833263e9dd75048b7f8ae5c94c92533154d7147607cd38f573904d68",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:00e0db33-1d93-52dc-a87d-ae17b974d735",
+    "numina:5a243ee0-43ed-500e-90b7-26237b3d8526",
+    "numina:715af1ad-4f59-5a97-b3b5-9adaafb38e77",
+    "numina:c4d62175-c054-50dd-88d6-0b59b797701c",
+    "numina:f09d84fe-c483-5585-9584-f3930aecc7ef"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007880.lean\",\"c807c2411af22771b8e5a040db15578ac2c189ee1b4f7369ba22c4335259296f\",0,\"algebra_249352\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007881.lean\",\"99e203b6bd2a6f4d202bd5a3e08f81c7f790656b999901818b42b5a6694fe8f2\",0,\"inequalities_254430\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007882.lean\",\"a7a624c0cd533a001b213eb25d70025f18fb6671893736834996f0dbadb941b5\",0,\"inequalities_87153\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007883.lean\",\"fe8b04705f4843377e3a1a28ae982de741bce83b6e5eafae10c40e37f2e6d134\",0,\"number_theory_205094\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007884.lean\",\"2894846f1fe66440207a86c8d57707eb5c8ccf08d6e9e775dc0d33301d149ece\",0,\"algebra_97169\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001576-0000-3db72c26cd784210.parquet",
-      "sha256": "3db72c26cd784210dafc469e80e3af07491dc31bd97f8fbb36e21829d3727cd5",
       "bytes": 320678,
+      "path": "data/train/p65/numina-001576-0000-3db72c26cd784210.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
+      "sha256": "3db72c26cd784210dafc469e80e3af07491dc31bd97f8fbb36e21829d3727cd5"
     },
     {
-      "path": "data/train/numina-001576-0001-e81b0875816db024.parquet",
-      "sha256": "e81b0875816db0244f9221d69ea7d0d5421269b75852d2b7c03d2ca0c4874e5e",
       "bytes": 632636,
+      "path": "data/train/p65/numina-001576-0001-e81b0875816db024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
+      "sha256": "e81b0875816db0244f9221d69ea7d0d5421269b75852d2b7c03d2ca0c4874e5e"
     },
     {
-      "path": "data/train/numina-001576-0002-6bdacb51c57beaf9.parquet",
-      "sha256": "6bdacb51c57beaf91cd445cb126409c12d681338e3ed8302a55a19d6d0cf4c28",
       "bytes": 265537,
+      "path": "data/train/p65/numina-001576-0002-6bdacb51c57beaf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
+      "sha256": "6bdacb51c57beaf91cd445cb126409c12d681338e3ed8302a55a19d6d0cf4c28"
     },
     {
-      "path": "data/dev/numina-001576-0000-03b06842066cc2c4.parquet",
-      "sha256": "03b06842066cc2c418d9e49d6b857540216ba5b67beb49a7c7c8125a6c8f0a56",
       "bytes": 174732,
+      "path": "data/dev/p65/numina-001576-0000-03b06842066cc2c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
+      "sha256": "03b06842066cc2c418d9e49d6b857540216ba5b67beb49a7c7c8125a6c8f0a56"
     }
-  ],
-  "proof_ids": [
-    "numina:00e0db33-1d93-52dc-a87d-ae17b974d735",
-    "numina:5a243ee0-43ed-500e-90b7-26237b3d8526",
-    "numina:715af1ad-4f59-5a97-b3b5-9adaafb38e77",
-    "numina:c4d62175-c054-50dd-88d6-0b59b797701c",
-    "numina:f09d84fe-c483-5585-9584-f3930aecc7ef"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007880.lean\",\"c807c2411af22771b8e5a040db15578ac2c189ee1b4f7369ba22c4335259296f\",0,\"algebra_249352\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007881.lean\",\"99e203b6bd2a6f4d202bd5a3e08f81c7f790656b999901818b42b5a6694fe8f2\",0,\"inequalities_254430\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007882.lean\",\"a7a624c0cd533a001b213eb25d70025f18fb6671893736834996f0dbadb941b5\",0,\"inequalities_87153\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007883.lean\",\"fe8b04705f4843377e3a1a28ae982de741bce83b6e5eafae10c40e37f2e6d134\",0,\"number_theory_205094\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007884.lean\",\"2894846f1fe66440207a86c8d57707eb5c8ccf08d6e9e775dc0d33301d149ece\",0,\"algebra_97169\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001577.json b/manifests/batches/numina/001577.json
index 3065e63435740f594391a8829329ce19f85b855b..3515bae7769106232060292ad5834d7160e287f5 100644
--- a/manifests/batches/numina/001577.json
+++ b/manifests/batches/numina/001577.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001577",
   "batch_fingerprint": "719e4771a7fdb591060228a47c4a186883ce4d8e46fdd7443c7419371c7fa433",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001577-0000-7bb085150b2e37de.parquet",
-      "sha256": "7bb085150b2e37de6d1873da2bf00503a51c8861a00cbe37f28e8b8dd1e1d6ea",
-      "bytes": 204935,
-      "rows": 26,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/numina-001577-0000-e6cbb0493d02a83c.parquet",
-      "sha256": "e6cbb0493d02a83c4f86aa8245872aff0533674f3fd279f992da994d25006a82",
-      "bytes": 81114,
-      "rows": 7,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:56562284-be9b-50de-a706-5e16c6e9012a",
     "numina:6d4a6a7f-46b5-5094-b1bb-58315e8623ae",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007887.lean\",\"6198103cf647ea294838aa211f17fbd26580ac5bd04a3e02710946f6e37c7ce4\",0,\"inequalities_249394\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007888.lean\",\"5ff5837a921a22787da3f0d1af324d2a74ddd445959a56bb8abe757081f1c46b\",0,\"algebra_609133\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007889.lean\",\"09b1e9bb3cc60eeb25c3f811c5780d1a334c1d60bc7681a3d50b0e459ba8b168\",0,\"inequalities_299138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204935,
+      "path": "data/train/pc8/numina-001577-0000-7bb085150b2e37de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "7bb085150b2e37de6d1873da2bf00503a51c8861a00cbe37f28e8b8dd1e1d6ea"
+    },
+    {
+      "bytes": 81114,
+      "path": "data/dev/pc8/numina-001577-0000-e6cbb0493d02a83c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e6cbb0493d02a83c4f86aa8245872aff0533674f3fd279f992da994d25006a82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001578.json b/manifests/batches/numina/001578.json
index 287535a50265c20ca8900165efba6902a90d2bc2..39b6d122ce262f997aaff7430a50fe0fc3f4da1d 100644
--- a/manifests/batches/numina/001578.json
+++ b/manifests/batches/numina/001578.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001578",
   "batch_fingerprint": "63553eaa880176baaa19ce3e247d69b1474fd4fa5761af38749bba63dabdbf65",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001578-0000-d0ed5a5e623cde7f.parquet",
-      "sha256": "d0ed5a5e623cde7fa6d3296b395333d5fe6b1ed6ff7bf4ba2b11538fab0f3a55",
-      "bytes": 344817,
-      "rows": 37,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:347536c2-ab65-5980-b08f-f91743238363",
     "numina:4c5644a7-0015-57e6-80cd-d800f8422369",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007892.lean\",\"c4e96333bb328dfa526e5f7e6046cc08b9bab67d2939caa432a3ce0202a5f30c\",0,\"number_theory_23126\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007893.lean\",\"a17b210a027f277c37bcae38b1d7b56a83ea9db742642cc985716e34c08c0e17\",0,\"algebra_97198\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007894.lean\",\"a0fa10b440ca73a80824dfa5afc425700fc986b7d61e4f63ba12a3078fd26416\",0,\"calculus_16912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344817,
+      "path": "data/train/p20/numina-001578-0000-d0ed5a5e623cde7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "d0ed5a5e623cde7fa6d3296b395333d5fe6b1ed6ff7bf4ba2b11538fab0f3a55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001579.json b/manifests/batches/numina/001579.json
index 4f8162df8168ffc7fb75202a5156add98a94a05a..edaa3c91bb42e0e1894039ea0cf29148862dfd7e 100644
--- a/manifests/batches/numina/001579.json
+++ b/manifests/batches/numina/001579.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001579",
   "batch_fingerprint": "6d46773883240f06cbaba1904e9e2b8c6d723108ae7dd193a157fbcb088a36d0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001579-0000-9808c786f50d52c9.parquet",
-      "sha256": "9808c786f50d52c92e7d129a80234cc5faaf3c265268162356316bd9f1dfe29f",
-      "bytes": 605323,
-      "rows": 42,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    },
-    {
-      "path": "data/internal_test/numina-001579-0000-b8048cf93b1cbd9e.parquet",
-      "sha256": "b8048cf93b1cbd9e021aef0f7ad9173418a7eb015899d5fbb90291b9c9e3d841",
-      "bytes": 345566,
-      "rows": 24,
-      "revision": "ac6f3150df647da281ea7cec1d86f5fd83d923a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08d7b69c-049d-555d-92bc-fd0a5515f131",
     "numina:45c9b52d-444d-595f-9e5e-8c62881e9ff7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007897.lean\",\"2c501f4fab302caf1f71dca61fbe75dadf7fac43a6d9139c8948f3083633455c\",0,\"number_theory_97200\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007898.lean\",\"29d052b865e2648c136906c4c0bb4bfa1030886456fb271587997f659f5d9ba8\",0,\"algebra_10690\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007899.lean\",\"634f4cc7506c1e6a583aed7bbcdaa150dd3e316e56f599fdf9f1468cba9bc7cc\",0,\"algebra_20464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 605323,
+      "path": "data/train/p29/numina-001579-0000-9808c786f50d52c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "9808c786f50d52c92e7d129a80234cc5faaf3c265268162356316bd9f1dfe29f"
+    },
+    {
+      "bytes": 345566,
+      "path": "data/internal_test/p29/numina-001579-0000-b8048cf93b1cbd9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b8048cf93b1cbd9e021aef0f7ad9173418a7eb015899d5fbb90291b9c9e3d841"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001580.json b/manifests/batches/numina/001580.json
index 90d3ef9613b843a9c5b332c8ab364ad533d4a981..b48ad8197cb28787e8ecea7972bd1824e3d9bb5b 100644
--- a/manifests/batches/numina/001580.json
+++ b/manifests/batches/numina/001580.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001580",
   "batch_fingerprint": "27a18ef186a1e73564aa15f0d4a18195f6b996ccbb5c35ee53935134050db305",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001580-0000-afcb1d698dbbb38d.parquet",
-      "sha256": "afcb1d698dbbb38d6bb91f2f0c38d55db8cf13fddd223e94acdb3a4b0e7c0273",
-      "bytes": 210097,
-      "rows": 30,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12a51c24-61a8-5b02-a058-6427a7465bb6",
     "numina:277694b9-644d-58d4-803c-dbb55326c44d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007902.lean\",\"7b08c51c1f9b8202dbdc3bf5c014e57a4bc774cbc53f1fa0ebed120276a71c45\",0,\"algebra_605866\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007903.lean\",\"0bc86bba09430319ec6ebb81ec576285c30041f13d55ea09052068d5969b1ae5\",0,\"inequalities_129190\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007904.lean\",\"9ddc16ef4b08d3fc15b7147392d1d06685db3d33231d204730b38fb9f9dc2b1e\",0,\"algebra_20476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210097,
+      "path": "data/train/pbd/numina-001580-0000-afcb1d698dbbb38d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "afcb1d698dbbb38d6bb91f2f0c38d55db8cf13fddd223e94acdb3a4b0e7c0273"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001581.json b/manifests/batches/numina/001581.json
index b1557e1fb72c2d3b33ee85b726115e7cd5cf33ce..75a253f57b54f72e94869138c10e7afcdbc21406 100644
--- a/manifests/batches/numina/001581.json
+++ b/manifests/batches/numina/001581.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001581",
   "batch_fingerprint": "b35a706ad790ecaa013a78870d05bcd86206f3bcc29376afe2928d7bc942ade6",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001581-0000-dcbe220d71a8242a.parquet",
-      "sha256": "dcbe220d71a8242a331b62e4babc7e665d7e3206a729f0e38642f78780541803",
-      "bytes": 272646,
-      "rows": 61,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45b25f4e-2c16-5605-b583-053b42247214",
     "numina:4860e4db-088d-5cf4-af7d-c888837fc1c2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007907.lean\",\"97267aed8d4dff6d8ea2147b4b28b48ff92b66084f09faade385a2cd396a9a13\",0,\"algebra_609153\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007908.lean\",\"866b6b2a722f38b372c4573ffe761e8bf011c79b4c58bee01370cb96d6c02751\",0,\"number_theory_237083\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007909.lean\",\"3217dbd55572d75d0d78c416e42f01fb239016e60b1d9262821024bf0fcb6adb\",0,\"number_theory_101312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272646,
+      "path": "data/train/p00/numina-001581-0000-dcbe220d71a8242a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "dcbe220d71a8242a331b62e4babc7e665d7e3206a729f0e38642f78780541803"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001582.json b/manifests/batches/numina/001582.json
index ed64a9f84b16b7d02e059b198c4a5fd2116c2fdc..855b534b8d64dd924e0caa9a691c6ffa44fb4d26 100644
--- a/manifests/batches/numina/001582.json
+++ b/manifests/batches/numina/001582.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001582",
   "batch_fingerprint": "059e24b013aa7f4f30c0096320900b999faffeb63d0397cfb48228ee797cc411",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001582-0000-9d672ef73b3eb9ee.parquet",
-      "sha256": "9d672ef73b3eb9ee7bc30ea64a7ea54dfddfe564a092a8f7333ff8e41240d0d2",
-      "bytes": 131998,
-      "rows": 31,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/dev/numina-001582-0000-1f6407618958698d.parquet",
-      "sha256": "1f6407618958698d525ce136a0ff284fbbb53ecd518aaaac7d46292920762135",
-      "bytes": 103169,
-      "rows": 10,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a7bd2c7-e0d5-518e-91e6-2d95bf54f188",
     "numina:1ce78fb5-f292-59bf-be78-7db742a25e99",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007912.lean\",\"6d0c76d83328adb1918790001902e48f12e3e3753c5acbb9d2ad2b490d197cc8\",0,\"inequalities_190008\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007913.lean\",\"4a7f76d8bb41cd256e746114d38443ef5bc460998e584453391b8fa3622b277d\",0,\"algebra_22077\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007914.lean\",\"4595ab789be0c9aa7e93843f85224dbe03894b0cbf13bef599ed80ec067a5cf2\",0,\"algebra_10218\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131998,
+      "path": "data/train/pcc/numina-001582-0000-9d672ef73b3eb9ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9d672ef73b3eb9ee7bc30ea64a7ea54dfddfe564a092a8f7333ff8e41240d0d2"
+    },
+    {
+      "bytes": 103169,
+      "path": "data/dev/pcc/numina-001582-0000-1f6407618958698d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1f6407618958698d525ce136a0ff284fbbb53ecd518aaaac7d46292920762135"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001583.json b/manifests/batches/numina/001583.json
index 1f354f3ee2ebf4d967e2e1072b521736b10937b7..681c7946ee0d805e8a50758d850bc53d99c45e8a 100644
--- a/manifests/batches/numina/001583.json
+++ b/manifests/batches/numina/001583.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001583",
   "batch_fingerprint": "ad3d58b55fb5e360669fadb234feb2a9630093baae2d3f14d3993fe633eadc7c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001583-0000-9b2ce7e4005c818a.parquet",
-      "sha256": "9b2ce7e4005c818a6f94916b35339888c3f189d9addd8841ccf4f6c9d9519569",
-      "bytes": 490235,
-      "rows": 31,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:172ffd3e-159a-570c-b9a2-97f91c2e9aef",
     "numina:6bd2438d-a61b-5d78-969d-cd45d788229a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007917.lean\",\"f21549c346be0e8ef07d7dabe4e1d6f177521d8359f6a43478c5568d721059d0\",0,\"algebra_129322\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007918.lean\",\"5c2e4b7baaafd79419b33d25b308fef187cbaed61884b74e3d2d70ec79517ed1\",0,\"algebra_10570\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007919.lean\",\"a23f876427fa33dec6fe57a00abf1a67420dee7e7b3278774dd6fe0e208d4592\",0,\"inequalities_246521\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 490235,
+      "path": "data/train/p4e/numina-001583-0000-9b2ce7e4005c818a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "9b2ce7e4005c818a6f94916b35339888c3f189d9addd8841ccf4f6c9d9519569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001584.json b/manifests/batches/numina/001584.json
index e3f5068458765635e18aa41b3ac07da299450feb..284d9a5c1b6badc5fd715f9b3db4c4c5e075de26 100644
--- a/manifests/batches/numina/001584.json
+++ b/manifests/batches/numina/001584.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001584",
   "batch_fingerprint": "65f08c4a97e0b197c5ad800753a629177a9b934c2066873637fbe70b1ce465d9",
   "evidence": {
@@ -81,15 +80,7 @@
     "validation_rejected_proofs": 2,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001584-0000-d7ed4fe962e26da1.parquet",
-      "sha256": "d7ed4fe962e26da1f37454cfde1007f9f1a135fb49ceafdbe997addbf8dd2cbc",
-      "bytes": 185952,
-      "rows": 33,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:47fc6f4d-546e-5939-a01f-1c62c119bf94",
     "numina:c9743750-8c2d-560a-9e7e-060f0d8b1b3a",
@@ -99,5 +90,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007922.lean\",\"0d271446a0c6ac2a993bf20580d24ffcdc6d01ba0f6f5ae2cb27ac65f0aad0f9\",0,\"inequalities_33213\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007923.lean\",\"b4080e161e922762aa434f5a990d703f31433469c3f3d44ea4fd949ccefa5665\",0,\"inequalities_222255\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007924.lean\",\"51339e93426c7eac13e276ed88b9c343de19b2f746503facfc201d301ff72b26\",0,\"number_theory_240510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185952,
+      "path": "data/train/pae/numina-001584-0000-d7ed4fe962e26da1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d7ed4fe962e26da1f37454cfde1007f9f1a135fb49ceafdbe997addbf8dd2cbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001585.json b/manifests/batches/numina/001585.json
index a3b6c775953c326b3c1e700e350963c49b53e0e5..34197e154abd2001c0117711f701b56c412f22b2 100644
--- a/manifests/batches/numina/001585.json
+++ b/manifests/batches/numina/001585.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001585",
   "batch_fingerprint": "e5b9eebdc29737a534bd0bdc2ba7d2fd00334f3d76708c00888d6d7d192ab513",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001585-0000-cdb66456a277d4b2.parquet",
-      "sha256": "cdb66456a277d4b2ec535538cc70e3d6334dc05cc51571e309d7c451e0e05f35",
-      "bytes": 264317,
-      "rows": 27,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    },
-    {
-      "path": "data/internal_test/numina-001585-0000-188c32c7d6ce0ab5.parquet",
-      "sha256": "188c32c7d6ce0ab57213ffae6c7e472646f9f61e54a4a38c7c8e18f9e797713c",
-      "bytes": 173279,
-      "rows": 4,
-      "revision": "1b1732dbac9bd3e39d47d0584914277d2b00812a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:45b076b8-fa76-5103-9ae1-92be3d1b133f",
     "numina:9d85a1f2-b6b3-5283-9ea6-93de6a793074",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007927.lean\",\"6ff2706ba4329adaa4a44ec33de316be9bac75056cf2db2811286909f29d6bfc\",1,\"number_theory_4656\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007928.lean\",\"418efa5fc58df3980570e6f8b7b9306cbbdfa5f23825c0ac8485111ac0f12a5e\",0,\"algebra_12981\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007929.lean\",\"715c29b47012861cb11d8940f2af1107bd71cb7920d1d7a81a72d0ef83ddabed\",0,\"number_theory_190193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264317,
+      "path": "data/train/p91/numina-001585-0000-cdb66456a277d4b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "cdb66456a277d4b2ec535538cc70e3d6334dc05cc51571e309d7c451e0e05f35"
+    },
+    {
+      "bytes": 173279,
+      "path": "data/internal_test/p91/numina-001585-0000-188c32c7d6ce0ab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "188c32c7d6ce0ab57213ffae6c7e472646f9f61e54a4a38c7c8e18f9e797713c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001586.json b/manifests/batches/numina/001586.json
index ab12f12abc9d38545fd206634a80def3f3c49cd3..18a89aaae9f96c1f61bf032f522afb2912cb933a 100644
--- a/manifests/batches/numina/001586.json
+++ b/manifests/batches/numina/001586.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001586",
   "batch_fingerprint": "00fa5edb87605fb2680f0ffbcf2c4297b218057298a1ca2c6f7774f5338218bf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001586-0000-d6a5f5105962ddc1.parquet",
-      "sha256": "d6a5f5105962ddc1853a1571c7035b8f7f24e241e57ff6d2ca1941086473434f",
-      "bytes": 513195,
-      "rows": 47,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/numina-001586-0000-d1589ade1f0cb1c7.parquet",
-      "sha256": "d1589ade1f0cb1c7303aaf1f6b693486aa547ebee177f0ed3fce495845b60aa0",
-      "bytes": 477407,
-      "rows": 9,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06155e0a-a853-5add-8ff8-ec874b4c1116",
     "numina:8356b8bc-fae6-521e-8842-6e0f42641fd4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007932.lean\",\"90b1b15ebac47bfe93dabdb2517ae909e17335e387a41aac7c55dd2b065f334b\",0,\"algebra_10694\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007933.lean\",\"bbc39eab8f0ba9609a08a9bf07afd3c5e4ee2498361b043a2ab954ba1c1e6bc8\",0,\"algebra_240518\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007934.lean\",\"0832d14597d87d473084615dffde0d5aa213c799f499d0ebda57f7000f2d789a\",0,\"algebra_605274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 513195,
+      "path": "data/train/pfd/numina-001586-0000-d6a5f5105962ddc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "d6a5f5105962ddc1853a1571c7035b8f7f24e241e57ff6d2ca1941086473434f"
+    },
+    {
+      "bytes": 477407,
+      "path": "data/internal_test/pfd/numina-001586-0000-d1589ade1f0cb1c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d1589ade1f0cb1c7303aaf1f6b693486aa547ebee177f0ed3fce495845b60aa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001587.json b/manifests/batches/numina/001587.json
index 54d6dd2c7557156d6d14eb76dad500c84119018f..1aeebfba17fbd5c3515370172aaf7dbcf9d26288 100644
--- a/manifests/batches/numina/001587.json
+++ b/manifests/batches/numina/001587.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001587",
   "batch_fingerprint": "459d12a1c22247947aafe3a04f27acd827417957793208b0874c2ae9c1bc6d94",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001587-0000-6d7085365ce5366e.parquet",
-      "sha256": "6d7085365ce5366e42a2f72c28b6910c748a6c0b1589029a34f321e116000d53",
-      "bytes": 95640,
-      "rows": 15,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/numina-001587-0000-e24a63ec28a86d09.parquet",
-      "sha256": "e24a63ec28a86d0945b9bd4acbe3d91f80094b49cee387769dbc89337f3802ed",
-      "bytes": 158277,
-      "rows": 22,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/numina-001587-0000-2e09468c64ff4e0c.parquet",
-      "sha256": "2e09468c64ff4e0ce959cfe5de3140a0d62f7a28f747b27504a168bac858e357",
-      "bytes": 117101,
-      "rows": 5,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:226cb42e-65f2-5cc3-9cd0-976f4dd84ffb",
     "numina:3a8d9b86-0243-5b8c-8f64-0ff25c6bdfbd",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007937.lean\",\"c8ea6deee2c099515fd90d64a3f967f218f13b42d4e948e6753685b8db629eef\",0,\"algebra_125875\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007938.lean\",\"2492666650f93a04c66de2c11efa0e544bbc58aa7908f6fd626f58245e30f486\",0,\"algebra_274101\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007939.lean\",\"a85c37ddd5345dace1ba0b32bf9dd369e39d3ee542586fa9b868412c03db91f0\",0,\"algebra_19905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95640,
+      "path": "data/train/pc1/numina-001587-0000-6d7085365ce5366e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6d7085365ce5366e42a2f72c28b6910c748a6c0b1589029a34f321e116000d53"
+    },
+    {
+      "bytes": 158277,
+      "path": "data/dev/pc1/numina-001587-0000-e24a63ec28a86d09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e24a63ec28a86d0945b9bd4acbe3d91f80094b49cee387769dbc89337f3802ed"
+    },
+    {
+      "bytes": 117101,
+      "path": "data/internal_test/pc1/numina-001587-0000-2e09468c64ff4e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2e09468c64ff4e0ce959cfe5de3140a0d62f7a28f747b27504a168bac858e357"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001588.json b/manifests/batches/numina/001588.json
index 5f48b9b169e42f7c0b69e2e756cb5a158aaa746d..d9d6a2f0d707f1330c4ee6a1b8be0cf8dd3c27e3 100644
--- a/manifests/batches/numina/001588.json
+++ b/manifests/batches/numina/001588.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001588",
   "batch_fingerprint": "9d7cc927b4ca72304ae06fce53322bc00fd0beabf4045b53bc5fb658d62d67f9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001588-0000-2e9d84232d61405e.parquet",
-      "sha256": "2e9d84232d61405e78fc4dd2fdba4dd8565cfc326c4c602f28609f6c323e2d4a",
-      "bytes": 333656,
-      "rows": 46,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/numina-001588-0000-0082aab897c3d7ed.parquet",
-      "sha256": "0082aab897c3d7ed070ba76be11ee9d086823d415a5bb5163c994cec80cb45ce",
-      "bytes": 40405,
-      "rows": 4,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:8bccc147-9597-5bd5-bfde-3ebeff9827eb",
     "numina:a3a25b5d-5be9-5074-99ee-55047cc90463",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007942.lean\",\"61314d3b05f60041fb0a16dbf284b2ae5c749f8977cac00cd8525bdc7459b780\",0,\"number_theory_605280\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007943.lean\",\"15dd21f2b6cf235e8471314939a489152aa901ac6c3586296af88c4a985b9c42\",0,\"inequalities_56475\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007944.lean\",\"21ac65524c71a64aa99377fb3f1359ea077e89f05bd1ee1b59a1c495ae5506fb\",0,\"number_theory_4660\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333656,
+      "path": "data/train/p9b/numina-001588-0000-2e9d84232d61405e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "2e9d84232d61405e78fc4dd2fdba4dd8565cfc326c4c602f28609f6c323e2d4a"
+    },
+    {
+      "bytes": 40405,
+      "path": "data/internal_test/p9b/numina-001588-0000-0082aab897c3d7ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0082aab897c3d7ed070ba76be11ee9d086823d415a5bb5163c994cec80cb45ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001589.json b/manifests/batches/numina/001589.json
index 464235b85b12c86b85bca0e8d7840610d9e39425..48ac93d5dd1d9caf990dcbaf7266ce031e114b42 100644
--- a/manifests/batches/numina/001589.json
+++ b/manifests/batches/numina/001589.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001589",
   "batch_fingerprint": "670a64b34bb3a2bdd764d8e65d60113d9a7d862dcef84254fc1e370e76346eb1",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001589-0000-8f29b10fc170d0a8.parquet",
-      "sha256": "8f29b10fc170d0a80631086c27518d231f69bd07b2a087df1b3cdd5537cb600a",
-      "bytes": 172160,
-      "rows": 24,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/numina-001589-0000-e6d902bbb9173c19.parquet",
-      "sha256": "e6d902bbb9173c1936e4eb48ec9e44a7d89de89a223b56f2d3840db0376dddc8",
-      "bytes": 120592,
-      "rows": 5,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06ca221d-50c6-5c81-a03b-14e494bf93ab",
     "numina:249837f1-b965-559d-b280-350a4cddda71",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007946.lean\",\"8994a7cd1e5364527905740b4def5156601e78d2167dbd06d93bc60503070550\",0,\"inequalities_125994\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007947.lean\",\"b4f95d2027dada696be4cdc78fb5d321a65b004dcd81799ad8a1741759eee277\",0,\"number_theory_274181\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007948.lean\",\"7cae7b10a7366e3d73834c0c26618f5145dd083affe2b26b5ae2c434de3ab171\",0,\"algebra_10697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172160,
+      "path": "data/train/pee/numina-001589-0000-8f29b10fc170d0a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8f29b10fc170d0a80631086c27518d231f69bd07b2a087df1b3cdd5537cb600a"
+    },
+    {
+      "bytes": 120592,
+      "path": "data/dev/pee/numina-001589-0000-e6d902bbb9173c19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e6d902bbb9173c1936e4eb48ec9e44a7d89de89a223b56f2d3840db0376dddc8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001590.json b/manifests/batches/numina/001590.json
index dafad9aaa900f18b6dbf9f9ca99e7ed42c012290..af77466ba790fc76f1cbef7b811b79db693bc020 100644
--- a/manifests/batches/numina/001590.json
+++ b/manifests/batches/numina/001590.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001590",
   "batch_fingerprint": "3babc14402f7e6be2cc0d12dc43760980e05935e76c588c6628ce27930841a89",
   "evidence": {
@@ -46,22 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001590-0000-1630d2876b6c7bdf.parquet",
-      "sha256": "1630d2876b6c7bdf26ef74009d14c72dfd1b7bc4a14acc9d58ce30fe888167f6",
-      "bytes": 224326,
-      "rows": 17,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    },
-    {
-      "path": "data/internal_test/numina-001590-0000-be4eb1fe4f31a7f1.parquet",
-      "sha256": "be4eb1fe4f31a7f133980c636eddc114769a0c9ba54d138054712cb8a6ba2ef0",
-      "bytes": 255976,
-      "rows": 8,
-      "revision": "274d299e5c452e4cf7f8179baf92726ac5da19b2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:87a2e7b5-4f6c-5904-aed7-834e91394e23",
     "numina:ac077fd9-0638-5bf9-9714-95669203672c",
@@ -73,5 +57,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007952.lean\",\"62768c1b2eed53ba7dd37300e8de78761ffc23c178e00cac86a170df0573e505\",0,\"algebra_604610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007953.lean\",\"a59a624bf159fbfb92ce9e7c420e64b48104d536d04d5c20c4b1497d700fde0e\",0,\"inequalities_104375\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007954.lean\",\"58e3fdf3941c658345a7f9e74332258161946174372dcf88ce4884f4b4ad7846\",1,\"number_theory_5006_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224326,
+      "path": "data/train/p3b/numina-001590-0000-1630d2876b6c7bdf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1630d2876b6c7bdf26ef74009d14c72dfd1b7bc4a14acc9d58ce30fe888167f6"
+    },
+    {
+      "bytes": 255976,
+      "path": "data/internal_test/p3b/numina-001590-0000-be4eb1fe4f31a7f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "be4eb1fe4f31a7f133980c636eddc114769a0c9ba54d138054712cb8a6ba2ef0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001591.json b/manifests/batches/numina/001591.json
index bd2c251adf790e3c5ae2f4cb741c88cf36715c5d..5b36ca93b2ba73490f09462f46dad1a995e15aa5 100644
--- a/manifests/batches/numina/001591.json
+++ b/manifests/batches/numina/001591.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001591",
   "batch_fingerprint": "4158fafa1560663c233dd814ee23862c118d2a848984697ceb5f78fd02415b3d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001591-0000-3e3584d8c5c327f7.parquet",
-      "sha256": "3e3584d8c5c327f732f708e0853d710db5cabcd58d5893dad0fce0cfc193b0bf",
-      "bytes": 158350,
-      "rows": 42,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/dev/numina-001591-0000-344909168a4c8ebf.parquet",
-      "sha256": "344909168a4c8ebf8c13473135f0b6ce07362dd6fb823073def38e3e5a79ac5a",
-      "bytes": 65537,
-      "rows": 4,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3d298fa2-f5fc-5cac-af43-35fddd221f5e",
     "numina:74ae4d98-9ee6-56c3-b39e-68bd4919ecb5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007957.lean\",\"e8aaee5622cc9cb62fd256ff293c5709dbbce0f4788dd7ef13e874270ee291d0\",0,\"algebra_608135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007958.lean\",\"ccbe15fbe4c4816086bcca8be3320ede94616571e2dc31250819267d8afc4b91\",0,\"algebra_302424\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007959.lean\",\"ef27e27eab9023da367cbe9bd0635075ba39b5038ad0d0dab54f9cb40a6cd8aa\",0,\"algebra_605246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158350,
+      "path": "data/train/pad/numina-001591-0000-3e3584d8c5c327f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "3e3584d8c5c327f732f708e0853d710db5cabcd58d5893dad0fce0cfc193b0bf"
+    },
+    {
+      "bytes": 65537,
+      "path": "data/dev/pad/numina-001591-0000-344909168a4c8ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "344909168a4c8ebf8c13473135f0b6ce07362dd6fb823073def38e3e5a79ac5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001592.json b/manifests/batches/numina/001592.json
index 7abcea0a3f5f3f25b2cac20f0c09262411e7781f..fd9974182fe403ff7c35951438fb607208b2fa0d 100644
--- a/manifests/batches/numina/001592.json
+++ b/manifests/batches/numina/001592.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001592",
   "batch_fingerprint": "431eac8d746d04e6f7b0a1c70657ab80fb67f2f4ddf7b62c2999cd5ee33cc072",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001592-0000-703c79a6f1f3ae46.parquet",
-      "sha256": "703c79a6f1f3ae461296be27e585144841d52742cfa293492d1f3a3e475bf9af",
-      "bytes": 91145,
-      "rows": 14,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    },
-    {
-      "path": "data/internal_test/numina-001592-0000-a37a7163efc3921d.parquet",
-      "sha256": "a37a7163efc3921d22716f09b90c33738d9f7013ab4b0f5fcbba0c0a76d0597b",
-      "bytes": 111059,
-      "rows": 5,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0da16687-84c4-5dcb-bc9d-b7b2b7d848c4",
     "numina:53290747-aa04-5bb0-a5ee-23c24d40d328",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007962.lean\",\"6f9f04b09382772e0d1ff59111891e6bd710d6a8637040014e3baf661f7faa59\",0,\"algebra_17104\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007963.lean\",\"1464d83f68a43a81414a8537e137fdd2a0fe8f17a8126e30794c73135ffc3448\",0,\"number_theory_97610\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007964.lean\",\"864ae0f8603f71a1cba27295c649c16fc1c6fa45bedc548218eab5ce93e227d1\",0,\"algebra_2656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91145,
+      "path": "data/train/pa2/numina-001592-0000-703c79a6f1f3ae46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "703c79a6f1f3ae461296be27e585144841d52742cfa293492d1f3a3e475bf9af"
+    },
+    {
+      "bytes": 111059,
+      "path": "data/internal_test/pa2/numina-001592-0000-a37a7163efc3921d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a37a7163efc3921d22716f09b90c33738d9f7013ab4b0f5fcbba0c0a76d0597b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001593.json b/manifests/batches/numina/001593.json
index ca18c1d8f9992254e120081952d281f303becafc..d9a750268746a747a515e37c8f3b3e39b38fe806 100644
--- a/manifests/batches/numina/001593.json
+++ b/manifests/batches/numina/001593.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001593",
   "batch_fingerprint": "afcf614b3978a33c0ea851c9f08b31e89a023d1a4a7c0649161a0a4ec5a843b7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001593-0000-913dc39d9afbf539.parquet",
-      "sha256": "913dc39d9afbf539de072629ed113d8fef339efc30f683247bf2d104d0a4f6b4",
-      "bytes": 488644,
-      "rows": 27,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e7d23c7-0c9f-59fd-9210-a9a3fa6355c8",
     "numina:1ea042ec-2381-52b6-97b3-f914aa475ece",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007967.lean\",\"39ab5144382e4c6040b0793bec3b88ae13745f66a44d9a93c1398daca4bad176\",0,\"number_theory_605251\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007968.lean\",\"13a5e115d9daf6f5844f36c1ea9c1f862f4c5393b033a17fd20a0b7d3f8b6b2c\",0,\"algebra_10283\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007969.lean\",\"f15456220b9381a835007047dbab070170bc7c5dfe0951743600c9a80768e2fc\",0,\"number_theory_104530\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488644,
+      "path": "data/train/p1f/numina-001593-0000-913dc39d9afbf539.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "913dc39d9afbf539de072629ed113d8fef339efc30f683247bf2d104d0a4f6b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001594.json b/manifests/batches/numina/001594.json
index bcb4118508d1aa88222ed2b089d4870245dae355..e4212cc1a33f8782094514640960f69762df77ef 100644
--- a/manifests/batches/numina/001594.json
+++ b/manifests/batches/numina/001594.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001594",
   "batch_fingerprint": "1b4d22a89fcab6ef951f94600fb6ed2459a035d286e173c1a28ddff0e1610abd",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:249b2920-0129-5511-84a1-b555e263e124",
+    "numina:6eac0296-2eae-57a6-be87-b83ad90b7ba2",
+    "numina:ca0ab229-aa23-5834-a992-bb9f17a57571",
+    "numina:ce590da8-0fbf-59be-a600-4ecd4f3c097d",
+    "numina:d761d38d-99c9-59f7-b9fa-8aff99562694"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007970.lean\",\"a87719ac2e810b4caf94fbc7414f5d7550bd0bf963a6a62e85d6b69bcdff18b3\",0,\"number_theory_191315\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007971.lean\",\"5e264a9156fe81afcf4bb11dcbfb6fbf4e8ea91772ce7d25c73f8a8ff6a1961f\",0,\"number_theory_97620\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007972.lean\",\"c0fed3eb20592079702172108ce4816d8ea90647c72b3a8adfe854126e750d8d\",0,\"inequalities_266077\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007973.lean\",\"dfd398931c83c05060fc3021b8beff2d2bf1b074956310b2d92dc5d3380811af\",0,\"algebra_13384\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007974.lean\",\"72fa4636f5558c3880f5210d0a3b7fa8b87a442730de3f6678c27d0e6544d084\",0,\"algebra_21626\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001594-0000-1505578c2443b057.parquet",
-      "sha256": "1505578c2443b05768c108b6627b90f2bdb2653932e57d8fce2485a6943f2acb",
       "bytes": 35376,
+      "path": "data/train/pfd/numina-001594-0000-1505578c2443b057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
+      "sha256": "1505578c2443b05768c108b6627b90f2bdb2653932e57d8fce2485a6943f2acb"
     },
     {
-      "path": "data/train/numina-001594-0001-f0403b307f8a5731.parquet",
-      "sha256": "f0403b307f8a5731f496e452922375c3bf041f80dff1d4305c4aff7562efefb8",
       "bytes": 976127,
+      "path": "data/train/pfd/numina-001594-0001-f0403b307f8a5731.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
+      "sha256": "f0403b307f8a5731f496e452922375c3bf041f80dff1d4305c4aff7562efefb8"
     },
     {
-      "path": "data/train/numina-001594-0002-f42964ea4df21642.parquet",
-      "sha256": "f42964ea4df21642d89c60e37b416d3083053278db83ea348c14086634f983aa",
       "bytes": 410462,
+      "path": "data/train/pfd/numina-001594-0002-f42964ea4df21642.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
+      "sha256": "f42964ea4df21642d89c60e37b416d3083053278db83ea348c14086634f983aa"
     },
     {
-      "path": "data/internal_test/numina-001594-0000-9148c71da6a98427.parquet",
-      "sha256": "9148c71da6a984279d4043024f3eeda5a3e87d9ec30afe7cc8d727e9d0a7596e",
       "bytes": 114312,
+      "path": "data/internal_test/pfd/numina-001594-0000-9148c71da6a98427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
+      "sha256": "9148c71da6a984279d4043024f3eeda5a3e87d9ec30afe7cc8d727e9d0a7596e"
     }
-  ],
-  "proof_ids": [
-    "numina:249b2920-0129-5511-84a1-b555e263e124",
-    "numina:6eac0296-2eae-57a6-be87-b83ad90b7ba2",
-    "numina:ca0ab229-aa23-5834-a992-bb9f17a57571",
-    "numina:ce590da8-0fbf-59be-a600-4ecd4f3c097d",
-    "numina:d761d38d-99c9-59f7-b9fa-8aff99562694"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007970.lean\",\"a87719ac2e810b4caf94fbc7414f5d7550bd0bf963a6a62e85d6b69bcdff18b3\",0,\"number_theory_191315\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007971.lean\",\"5e264a9156fe81afcf4bb11dcbfb6fbf4e8ea91772ce7d25c73f8a8ff6a1961f\",0,\"number_theory_97620\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007972.lean\",\"c0fed3eb20592079702172108ce4816d8ea90647c72b3a8adfe854126e750d8d\",0,\"inequalities_266077\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007973.lean\",\"dfd398931c83c05060fc3021b8beff2d2bf1b074956310b2d92dc5d3380811af\",0,\"algebra_13384\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007974.lean\",\"72fa4636f5558c3880f5210d0a3b7fa8b87a442730de3f6678c27d0e6544d084\",0,\"algebra_21626\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001595.json b/manifests/batches/numina/001595.json
index ca20704a71724942fdd8cc27ba6e92e987286305..c576e3d0320b8ca626ae6fc2fc50e615c1cf292c 100644
--- a/manifests/batches/numina/001595.json
+++ b/manifests/batches/numina/001595.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001595",
   "batch_fingerprint": "ba8e601ae536b629543b0f0ba85dfc5a3b56da471e294f2b18b1026afff80572",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001595-0000-3d032bfd579ab9f3.parquet",
-      "sha256": "3d032bfd579ab9f3576a5952a5fcc1403be91436ddd2a0571034828cb40eb451",
-      "bytes": 544275,
-      "rows": 57,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:675b8d53-b8ea-5c4a-9348-1d262f9a2d31",
     "numina:6c2bd92c-f5bb-58d1-aacc-2d2f3ea4df31",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007977.lean\",\"f498fd6c237776acd2a80a8fb66fe54e2228b040ab8b3a18ad3a44c03c195941\",0,\"algebra_604875\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007978.lean\",\"5f21d0df6ee36cbc48d3617a721ba9498ebf706c497a4a083d2d358b419c82e8\",0,\"number_theory_104565\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007979.lean\",\"e6a826a6ea426bd782d3b74542ee4e24b9345e7e29e1f6cf89be8b9af16303a2\",0,\"number_theory_97639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544275,
+      "path": "data/train/p43/numina-001595-0000-3d032bfd579ab9f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "3d032bfd579ab9f3576a5952a5fcc1403be91436ddd2a0571034828cb40eb451"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001596.json b/manifests/batches/numina/001596.json
index dd58a8fcfce1369ad7589920956b0c451005e4cc..d26a6466771d60a0b8e5ff9b7a82fb322fc57b14 100644
--- a/manifests/batches/numina/001596.json
+++ b/manifests/batches/numina/001596.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001596",
   "batch_fingerprint": "7942fb6d5a4f1f92d1a4b53c01eb90e01041e3cb8067c9ffeed72843dcfc8087",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001596-0000-6687dbc817d7b02a.parquet",
-      "sha256": "6687dbc817d7b02a2c85e647a9b3a8050e05836f3e574904e2c2343c2103bdbb",
-      "bytes": 622073,
-      "rows": 41,
-      "revision": "b08b617add92ed63a75b8a7e9e57b2269c3b2b1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3fe318ea-22f3-5729-8d00-9876b175bfbd",
     "numina:61f5f367-be3a-5c94-9c8e-6503eb3a08e2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007982.lean\",\"b8b464a6df8f18cf656bcd515447c5e0bb7d80febac44cd392a86377e417c2b8\",0,\"calculus_185111\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007983.lean\",\"4407e4b61e0261202ed04513f2a8508fe5ee5fab58d559e0e9fcc16ee10d5bd9\",0,\"calculus_608142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007984.lean\",\"573069e2629f198d1297dac4c7b8c78975f43230c8ce00535b2475305642f0fb\",0,\"algebra_21628\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 622073,
+      "path": "data/train/p41/numina-001596-0000-6687dbc817d7b02a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "6687dbc817d7b02a2c85e647a9b3a8050e05836f3e574904e2c2343c2103bdbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001597.json b/manifests/batches/numina/001597.json
index 444cfbc92f5e73010eb6bbb2e5dea4bd8e10872c..0964881321c7fb4f3c206597c9b6a0e6f470ffeb 100644
--- a/manifests/batches/numina/001597.json
+++ b/manifests/batches/numina/001597.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001597",
   "batch_fingerprint": "10445696935bf8b985f32dae0114de9e598150c919fd6418812dbbf7ec766ede",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001597-0000-8a15cc2d109b36a4.parquet",
-      "sha256": "8a15cc2d109b36a41edee8d3b0149bcfc8a78cedfc253831acb7945274c873f5",
-      "bytes": 374630,
-      "rows": 49,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1cb8c65c-8af4-562c-a934-7658d7663535",
     "numina:6a9d783c-e483-5caf-9e24-36ce731fdca5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007987.lean\",\"a30b5b721da845f60bde90bef1c17db5578bbbf720d35cfa8bd27b904ba3b6df\",0,\"algebra_22017\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007988.lean\",\"ffff3475835282419908b45334aece558ebffe2dd1f59cdfa4d8abdf83f1a22f\",0,\"algebra_191362\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007989.lean\",\"a91c3cf64105685d6ed35fbf9aa2ba80bf092200b3fcf2259e3dfea01b18f59a\",0,\"algebra_97646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374630,
+      "path": "data/train/p34/numina-001597-0000-8a15cc2d109b36a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "8a15cc2d109b36a41edee8d3b0149bcfc8a78cedfc253831acb7945274c873f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001598.json b/manifests/batches/numina/001598.json
index 31a6cf150130d0089946afd1e2740834b89fb3e4..74a4f20bbdc8eb7caa5fd9684b321b86bcf2fdde 100644
--- a/manifests/batches/numina/001598.json
+++ b/manifests/batches/numina/001598.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001598",
   "batch_fingerprint": "e7bbbffbe608a5f2bcfed3f0bac447e0210aa0e44e6d9b1c11d55c4df8b30d93",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001598-0000-baf6611866e2dbfa.parquet",
-      "sha256": "baf6611866e2dbfa4cb142a61d0cabd7d4166445852a0a4eed2f5837871dd34e",
-      "bytes": 650864,
-      "rows": 64,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:086fbbaa-1cce-54c4-ac4f-97aeedfc57b8",
     "numina:468a8357-3267-55fb-9a6c-310f306562ca",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007992.lean\",\"127947be7a26b0224203b350d3515e5adc756c573901b3d5fd9b4402fbf42d5d\",0,\"Calculus_608145\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007993.lean\",\"4241baf8b3e33d5a6b6a64cd1650b8c00d8b531e6d9be56605c4299c5d5b0126\",0,\"algebra_21183\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007994.lean\",\"21f2f0576ce76dc6e676df74b5da8d2813ebc3f64909806851df9edeccd53912\",0,\"algebra_9407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 650864,
+      "path": "data/train/p0d/numina-001598-0000-baf6611866e2dbfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "baf6611866e2dbfa4cb142a61d0cabd7d4166445852a0a4eed2f5837871dd34e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001599.json b/manifests/batches/numina/001599.json
index 0ab169ec1925c9d690dededdb791c572af068d3d..3fba04d2f3740ac9adbac090a979d48dfb9046b9 100644
--- a/manifests/batches/numina/001599.json
+++ b/manifests/batches/numina/001599.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001599",
   "batch_fingerprint": "5af7408c4534687e3a9e4d4178e3121513f5f5fa1492719f2beb3cb1cfd1b5e4",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001599-0000-9fb79afe7d331439.parquet",
-      "sha256": "9fb79afe7d3314391d60413645f8cf4758c2e65b69ad500d8cc0c5bfbbe75742",
-      "bytes": 224086,
-      "rows": 13,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/numina-001599-0000-c24c5f180b76b8e2.parquet",
-      "sha256": "c24c5f180b76b8e247bc6af6fc2cc9babdcd6a3fa2b315acbbb2aa691a463873",
-      "bytes": 29835,
-      "rows": 2,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1ca8a89b-be81-5d32-971d-5e8b7e3127c9",
     "numina:3cd000e2-b214-5859-a421-607f50ecb140",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007997.lean\",\"60fcdb66b2060538f4ae87813a54118d52f113c7bd0a82eb2c497cd1676d9558\",0,\"algebra_22020\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007998.lean\",\"bdc4c66f694c651e5d58d59022e2b6892e0c714a1d80a7ec0258f021f87aea9b\",0,\"number_theory_97660\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_007999.lean\",\"0920d980ec2219b3398921b4bb62529bfd5692fa604f6fc0cf606c28d9b4320c\",0,\"algebra_21612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224086,
+      "path": "data/train/p70/numina-001599-0000-9fb79afe7d331439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9fb79afe7d3314391d60413645f8cf4758c2e65b69ad500d8cc0c5bfbbe75742"
+    },
+    {
+      "bytes": 29835,
+      "path": "data/internal_test/p70/numina-001599-0000-c24c5f180b76b8e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c24c5f180b76b8e247bc6af6fc2cc9babdcd6a3fa2b315acbbb2aa691a463873"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001600.json b/manifests/batches/numina/001600.json
index 23d48781bda007dfee84d8ec782e41aa7823e3de..282604320bd1ae7c45cb320da711b196fe667a37 100644
--- a/manifests/batches/numina/001600.json
+++ b/manifests/batches/numina/001600.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001600",
   "batch_fingerprint": "e086b96db8c35c2c57c3346c4a234fbe90a2749eae86ac020121677e143c093d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001600-0000-1e59747118334945.parquet",
-      "sha256": "1e59747118334945615ccc691eb40789d8a780086cbeeb4a395ed6e843c7fb08",
-      "bytes": 274465,
-      "rows": 45,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32e87abf-f0dc-5371-9d25-6f6c12070a9e",
     "numina:6709058c-d34a-5053-baa6-b56c6972fd47",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008002.lean\",\"2d14ced6e46562c3944870005262fbc1c061e1f2605c402b2d876a0397a60a1b\",0,\"algebra_21184\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008003.lean\",\"c45d21e2954738bed52f202cde1e55ea93aa5806bf5ce02fce5930b6edf56e37\",0,\"number_theory_259729\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008004.lean\",\"8eab9bf6f6578c8468c78ae9a0c13b26b0c7bd379540e2e89c4544bbb1cf5cc6\",0,\"algebra_9408\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274465,
+      "path": "data/train/p63/numina-001600-0000-1e59747118334945.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "1e59747118334945615ccc691eb40789d8a780086cbeeb4a395ed6e843c7fb08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001601.json b/manifests/batches/numina/001601.json
index 889ef6865e096c690a072b551218509637258150..078b721d9e036e0ec165c2dd2dfd48a7a856f31d 100644
--- a/manifests/batches/numina/001601.json
+++ b/manifests/batches/numina/001601.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001601",
   "batch_fingerprint": "f54bfc0b58c2d11f98351dbdaf8296b16a3b99b3a68ce75733c91b04bdf4b93c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001601-0000-09429306e91d72bb.parquet",
-      "sha256": "09429306e91d72bbcba96fa4791949cf539f8c4793f125466fbf230a3edd7538",
-      "bytes": 261680,
-      "rows": 44,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/numina-001601-0000-675680f59fe18215.parquet",
-      "sha256": "675680f59fe18215caee49da96690aeb3c4aeacf6c9e084caa5b698b75e94ff6",
-      "bytes": 219904,
-      "rows": 19,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6597da4b-47c3-53ea-9c80-561fab46e92c",
     "numina:83f85064-a5ad-5a6d-9200-f716f21bfe31",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008007.lean\",\"d13f4821db60a62894aa4bd1ed1c1f167c5bc5201c008ac3da9290dfd653a7e5\",0,\"number_theory_202097\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008008.lean\",\"dabd352af3cd58beff738b8b93378e7821f496cfa7a16ea4071b0f3aa7410ee1\",0,\"algebra_98145\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008009.lean\",\"b96eae35affcb40863b6a03c0a470a8b0247079b958b34d2a3a736a4a792edcf\",0,\"number_theory_151066\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261680,
+      "path": "data/train/pf5/numina-001601-0000-09429306e91d72bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "09429306e91d72bbcba96fa4791949cf539f8c4793f125466fbf230a3edd7538"
+    },
+    {
+      "bytes": 219904,
+      "path": "data/internal_test/pf5/numina-001601-0000-675680f59fe18215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "675680f59fe18215caee49da96690aeb3c4aeacf6c9e084caa5b698b75e94ff6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001602.json b/manifests/batches/numina/001602.json
index cc4287ed1df4a6696b4a31364c296494917119c6..eb8fcb5e361ec185a4bf99259b8ec0bc8deef1f9 100644
--- a/manifests/batches/numina/001602.json
+++ b/manifests/batches/numina/001602.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001602",
   "batch_fingerprint": "b039438447e66e9ff40effdce58e6e63349632235329e318bf9f67b1f7ced865",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001602-0000-2896592707160a82.parquet",
-      "sha256": "2896592707160a82f13a794bc95aa0b69c673cc9cfa2c8532817e2048c54e7fa",
-      "bytes": 99825,
-      "rows": 8,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/dev/numina-001602-0000-2528d46377c666f3.parquet",
-      "sha256": "2528d46377c666f3032b4b520b06a5d6572c86b89834eec675c8d607c802cb62",
-      "bytes": 92922,
-      "rows": 15,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/internal_test/numina-001602-0000-203add5242628825.parquet",
-      "sha256": "203add5242628825038c01918fd63f35b5a8c1c89fc434034eb4e44b2ceb1ff6",
-      "bytes": 40688,
-      "rows": 5,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:161e971f-663a-5f05-b27d-f17572ce2428",
     "numina:603e953b-3cd2-5bc3-8c86-5e78fa3abe25",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008012.lean\",\"d605d0897b8eee03ee7c0f1ed8be04f9bef730f26da987b78eef86c69d012ee6\",0,\"algebra_221739\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008013.lean\",\"6807a86ae815cdd009babc17b4cf7bf53905c53c124df61ed16c8d2ef9e2a864\",0,\"Algebra_259755\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008014.lean\",\"4e0ca0dbfa319be2fcd46f801aeb6c8de8d5e130604efceeec282b16f52753a6\",0,\"algebra_9410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99825,
+      "path": "data/train/pce/numina-001602-0000-2896592707160a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2896592707160a82f13a794bc95aa0b69c673cc9cfa2c8532817e2048c54e7fa"
+    },
+    {
+      "bytes": 92922,
+      "path": "data/dev/pce/numina-001602-0000-2528d46377c666f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2528d46377c666f3032b4b520b06a5d6572c86b89834eec675c8d607c802cb62"
+    },
+    {
+      "bytes": 40688,
+      "path": "data/internal_test/pce/numina-001602-0000-203add5242628825.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "203add5242628825038c01918fd63f35b5a8c1c89fc434034eb4e44b2ceb1ff6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001603.json b/manifests/batches/numina/001603.json
index df5fe1f9fde287d224bb5da7bedcc78a33ac988d..46197d6f1a74f48582658cc19e10260a9aa42496 100644
--- a/manifests/batches/numina/001603.json
+++ b/manifests/batches/numina/001603.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001603",
   "batch_fingerprint": "882d16ea0d1a8bec02cd371f7c7495f19795d83da8c22d0ee68dd511179d7206",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001603-0000-d01fdd00d6fe6861.parquet",
-      "sha256": "d01fdd00d6fe686136213d28c56465338063807087b5e35b00fe19f233020af3",
-      "bytes": 343619,
-      "rows": 35,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/train/numina-001603-0001-9b48c607acf35593.parquet",
-      "sha256": "9b48c607acf355936f635c66fb928a597150553d35d93e70908b3d02d4aa3d8f",
-      "bytes": 1542636,
-      "rows": 10,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    },
-    {
-      "path": "data/train/numina-001603-0002-43cb1eb646de6e98.parquet",
-      "sha256": "43cb1eb646de6e9806f137c79d7624cdbf6a26ceebdd03ee2ae289e3122d54a5",
-      "bytes": 229487,
-      "rows": 31,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:202041b2-6052-554d-ba2e-b5bea770201d",
     "numina:3e0af63e-a9d6-5f57-b098-407979c4120f",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008017.lean\",\"c395747ab67e8319106ce9d4d3b618d7d8b2f002598be26cd55cc9b0c737ae52\",0,\"number_theory_23411\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008018.lean\",\"d5e9d957baf8244161e524c7455dea9d59e74162cc17d8ad4ef66eb881c8d7ed\",0,\"algebra_604680\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008019.lean\",\"6aa10e942ccc7dcfb5e1dfe36b20611272f45cb4ae1e2acb29aefe046a72b58c\",0,\"algebra_267141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343619,
+      "path": "data/train/p0d/numina-001603-0000-d01fdd00d6fe6861.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "d01fdd00d6fe686136213d28c56465338063807087b5e35b00fe19f233020af3"
+    },
+    {
+      "bytes": 1542636,
+      "path": "data/train/p0d/numina-001603-0001-9b48c607acf35593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9b48c607acf355936f635c66fb928a597150553d35d93e70908b3d02d4aa3d8f"
+    },
+    {
+      "bytes": 229487,
+      "path": "data/train/p0d/numina-001603-0002-43cb1eb646de6e98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "43cb1eb646de6e9806f137c79d7624cdbf6a26ceebdd03ee2ae289e3122d54a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001604.json b/manifests/batches/numina/001604.json
index 02b3985a7e7f5890198592b9e1da992d77bce748..ddd991d794a8c03a0dd11ada5e6c4e7e13bc6c3c 100644
--- a/manifests/batches/numina/001604.json
+++ b/manifests/batches/numina/001604.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001604",
   "batch_fingerprint": "d04de0e00704be665d958d5ad9a323dd34d7b77f204e9a4bf84d3e5739e7ecad",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001604-0000-5cc7537447219524.parquet",
-      "sha256": "5cc7537447219524fe0288e0a162943a0ee0b47508c84e55b169bcb35af295ea",
-      "bytes": 615421,
-      "rows": 32,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:48f3f12c-b854-51c0-9a5b-321b8d32599f",
     "numina:91985085-b857-5d05-a0eb-6ad636ad2aa4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008022.lean\",\"35e34d9f445d3d9d58e495a599d5042b76ea30702f40346d63d9141427e9901a\",0,\"number_theory_608427\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008023.lean\",\"95da34196e065a5d4975b088c02a9953046b38b7b91b77d1005ac1f89c443551\",0,\"algebra_610337\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008024.lean\",\"11e4899f67d02caa4d631d2ac48b163c7007d8fdd6f08346fab5fc8fbf696fc1\",0,\"number_theory_23417\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 615421,
+      "path": "data/train/p04/numina-001604-0000-5cc7537447219524.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "5cc7537447219524fe0288e0a162943a0ee0b47508c84e55b169bcb35af295ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001605.json b/manifests/batches/numina/001605.json
index 388c14195d46de01d02fc950a7e71bc1c6e4920f..fe08bdf822d4156009855b6bb2a56bdcbcb282d8 100644
--- a/manifests/batches/numina/001605.json
+++ b/manifests/batches/numina/001605.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001605",
   "batch_fingerprint": "349ce4a012ab9462d3030e6c6192aeb7605253a8478457a55a57b5cfab1446a0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001605-0000-cd4992c7cdc5ff2e.parquet",
-      "sha256": "cd4992c7cdc5ff2ea178fd37ab66994726d1a292f05194c6cbbd1060a2d9177b",
-      "bytes": 667643,
-      "rows": 8,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/train/numina-001605-0001-684d7b255f0d76d0.parquet",
-      "sha256": "684d7b255f0d76d08a47dc25a1ef4161dfb751e2a21c7c6ac30a4a645f630138",
-      "bytes": 77488,
-      "rows": 10,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    },
-    {
-      "path": "data/dev/numina-001605-0000-77412c5c59e8ae5f.parquet",
-      "sha256": "77412c5c59e8ae5fc8afa56a4b3ff37153f030f35f15c0127c081afc058bc7cb",
-      "bytes": 368325,
-      "rows": 17,
-      "revision": "539d24bd3b364ec9b563344a3d20470dd830aecb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0246fb93-9689-5b67-9bad-461d483e0965",
     "numina:0e5d49e1-e8b1-5e5b-9f40-eb36451fd0d0",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008027.lean\",\"8b8f55f4f27862725e252d796f1c6645d3c5b91b65fa2c3b502f5f560456851a\",0,\"algebra_267279\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008028.lean\",\"cf52961c934a099002522a4bbb3603696b5302beaf7bb1bea4944b5fa299c9bb\",0,\"algebra_264674\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008029.lean\",\"19ef3cd7b7e80498b5fbd49fd3fb8e9e1bf8896e486e387c9ba79002e89cb8c7\",0,\"inequalities_606244\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 667643,
+      "path": "data/train/p5a/numina-001605-0000-cd4992c7cdc5ff2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cd4992c7cdc5ff2ea178fd37ab66994726d1a292f05194c6cbbd1060a2d9177b"
+    },
+    {
+      "bytes": 77488,
+      "path": "data/train/p5a/numina-001605-0001-684d7b255f0d76d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "684d7b255f0d76d08a47dc25a1ef4161dfb751e2a21c7c6ac30a4a645f630138"
+    },
+    {
+      "bytes": 368325,
+      "path": "data/dev/p5a/numina-001605-0000-77412c5c59e8ae5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "77412c5c59e8ae5fc8afa56a4b3ff37153f030f35f15c0127c081afc058bc7cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001606.json b/manifests/batches/numina/001606.json
index 4daa27137e419d4fa196c67cf9a7714692de9b02..3e54460d938b0542922e70b21c4e06edad994d0c 100644
--- a/manifests/batches/numina/001606.json
+++ b/manifests/batches/numina/001606.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001606",
   "batch_fingerprint": "adc5766db1ca662190530aa1176d1d710b6f44247fb72b80fea46a2be5628f22",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001606-0000-af7f6d0cdc136308.parquet",
-      "sha256": "af7f6d0cdc136308797b7636682f70d4d214d4de61ecf78ba6f3cd932251fda3",
-      "bytes": 163044,
-      "rows": 30,
-      "revision": "70b6b795247ac9d70fb829e06dbcf94288c16b02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4097c35a-0f95-5e39-b395-bb2339131fca",
     "numina:61ff5813-d2b4-5b88-a064-21685c47bb69",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008032.lean\",\"ac5791cf33781f2f697796b29df2e8aef0f7696278e00f1f33004c772146f2d2\",0,\"algebra_22207\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008033.lean\",\"83fe95cce6c4e22459dc256c6cd121d19aa0574e02b8b45fb8fe916d5efff663\",0,\"number_theory_98187\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008034.lean\",\"823e71413d16e82e67f3e1ed17f3772784a36246848e3d1cf87e330170fe7f28\",1,\"number_theory_604351_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163044,
+      "path": "data/train/pe2/numina-001606-0000-af7f6d0cdc136308.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "af7f6d0cdc136308797b7636682f70d4d214d4de61ecf78ba6f3cd932251fda3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001607.json b/manifests/batches/numina/001607.json
index 27603db4445c9f5d867d50b34348aed5c1dea62c..d04e0e6fe6cba45979e0dfff5f4ec354552c6377 100644
--- a/manifests/batches/numina/001607.json
+++ b/manifests/batches/numina/001607.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001607",
   "batch_fingerprint": "9ae966650306db5decf6d30dfd35605799c2a0b96c953b3115dde1ae5d9bced6",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001607-0000-e2cb55612c82881c.parquet",
-      "sha256": "e2cb55612c82881c7d637ab89a5074a72f0926162644478b086ce265ae389aa9",
-      "bytes": 143089,
-      "rows": 18,
-      "revision": "1ce1b8cd8d2f31793610475b01f779fef5ad4c52"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3fe9d396-e010-5d75-81dc-292c33925369",
     "numina:4da765b9-5737-52f4-afcb-0f5a58595966",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008037.lean\",\"f390e8a54616161c82c02f2af208df2ee7629c6868dbb6655acd028e61e86361\",0,\"algebra_13400\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008038.lean\",\"7ea43f7aef22dc53bcc9ffef7f46160fdd4ab1250a8d9de79da2dcb3c448e96a\",0,\"algebra_160062\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008039.lean\",\"72048948057432cdb40fbbb39bc3d153195369b3904462a313eecdaa9a3e1580\",0,\"algebra_209329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143089,
+      "path": "data/train/p74/numina-001607-0000-e2cb55612c82881c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e2cb55612c82881c7d637ab89a5074a72f0926162644478b086ce265ae389aa9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001608.json b/manifests/batches/numina/001608.json
index e6e59264e34a9c8179e8eea4a0c32db25d9fe24c..179afd76bae38057dc6a648c61b86932cca03410 100644
--- a/manifests/batches/numina/001608.json
+++ b/manifests/batches/numina/001608.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001608",
   "batch_fingerprint": "096939eb20733c83cb9fc894600ee4547a8e45e063a7dc2087ae0eed8a02d368",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001608-0000-31130cac26186c70.parquet",
-      "sha256": "31130cac26186c708bba39cb9e15208757f1771bc30428d77cdd1e96345bdcc2",
-      "bytes": 45353,
-      "rows": 1,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/train/numina-001608-0001-e48c17c99f221621.parquet",
-      "sha256": "e48c17c99f221621cc3e1c2f00f87135af4ef8bcfe1eb613b450c4d5d950d13a",
-      "bytes": 1198739,
-      "rows": 1,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/train/numina-001608-0002-da0e48488aa3064b.parquet",
-      "sha256": "da0e48488aa3064b6cd962850502dbcb3cd5b576fb512f1d68fc4a42ad04f83d",
-      "bytes": 504652,
-      "rows": 26,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3fee8781-3e82-5274-bfaf-e910dd155686",
     "numina:5eff76b6-6924-5aaa-8a27-732395fc59a5",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008042.lean\",\"eda232d545996b21a6838a0cff688e6cdc39597a3c0fd03c50efbeccaef03bdd\",0,\"inequalities_127664\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008043.lean\",\"8c92e12288879238ebc59f2e24d975b423520c3a4d13551c8d5577a807669a6c\",0,\"algebra_178148\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008044.lean\",\"66b63bc6616b6e354c2866e4fd0eeb878317138ebe0bbdbd556df1b232aed87b\",0,\"number_theory_262111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 45353,
+      "path": "data/train/p1f/numina-001608-0000-31130cac26186c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "31130cac26186c708bba39cb9e15208757f1771bc30428d77cdd1e96345bdcc2"
+    },
+    {
+      "bytes": 1198739,
+      "path": "data/train/p1f/numina-001608-0001-e48c17c99f221621.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e48c17c99f221621cc3e1c2f00f87135af4ef8bcfe1eb613b450c4d5d950d13a"
+    },
+    {
+      "bytes": 504652,
+      "path": "data/train/p1f/numina-001608-0002-da0e48488aa3064b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "da0e48488aa3064b6cd962850502dbcb3cd5b576fb512f1d68fc4a42ad04f83d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001609.json b/manifests/batches/numina/001609.json
index 75877b325a3edbecd89de72964890acdf90d23df..cefcb64c7e65a1a71180f1e35f04bbd761ee9bb6 100644
--- a/manifests/batches/numina/001609.json
+++ b/manifests/batches/numina/001609.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001609",
   "batch_fingerprint": "cec3080b3dc2c50915277d7732d249cdc7c7798cc63a877c882d7838f07881e3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001609-0000-e3cdca1a57d964f2.parquet",
-      "sha256": "e3cdca1a57d964f26feae1df6ea98cfb704d3d62c76fccc3bbaf0fee42c1a9a0",
-      "bytes": 487599,
-      "rows": 29,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/numina-001609-0000-309144084e49ec06.parquet",
-      "sha256": "309144084e49ec065498f70ce88fdeec4dcb13ce7adc9320226ed7112a071421",
-      "bytes": 70503,
-      "rows": 13,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:383523d4-9b8b-52d3-884e-e3860f28ffde",
     "numina:856882cd-28fc-54eb-b3f2-43beaac75f86",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008047.lean\",\"4795cd5d7107c091d04ff9f5233d1592a659de84461b523529100f2ab0aca555\",0,\"algebra_147834\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008048.lean\",\"3a9d8ae1604909c12fdb149644afcfb386092a3c9a2e56e28cc2fc228e51d7a4\",0,\"algebra_608894\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008049.lean\",\"ed19632c19c0459365680cd90bc31e5361f15bb9b1d2abea8b9181b721af0493\",0,\"algebra_10196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487599,
+      "path": "data/train/p5a/numina-001609-0000-e3cdca1a57d964f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e3cdca1a57d964f26feae1df6ea98cfb704d3d62c76fccc3bbaf0fee42c1a9a0"
+    },
+    {
+      "bytes": 70503,
+      "path": "data/internal_test/p5a/numina-001609-0000-309144084e49ec06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "309144084e49ec065498f70ce88fdeec4dcb13ce7adc9320226ed7112a071421"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001610.json b/manifests/batches/numina/001610.json
index 409267eac1d1d896caf9c58270ec83b9578c28d5..53cbbffa763f5b62ce0e1c5d3c314666119fa012 100644
--- a/manifests/batches/numina/001610.json
+++ b/manifests/batches/numina/001610.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001610",
   "batch_fingerprint": "bb3bf16abfac19a0111dab7827edc6d00c377808bed8fdb2aef3acb2edfb08a1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001610-0000-471a26b4811c4022.parquet",
-      "sha256": "471a26b4811c4022012dda8b0554eb92991932e016e4c721d454edf5bbc343c9",
-      "bytes": 686144,
-      "rows": 38,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/train/numina-001610-0001-6ba9deaf69738286.parquet",
-      "sha256": "6ba9deaf69738286eae44c9eb088cccded2d036b54ad5daaabd314d3cee0df87",
-      "bytes": 99351,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:040407b5-14ed-57c7-92c3-e04624fb18e5",
     "numina:1c3557de-270d-5393-aee2-912a0e6d9d62",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008052.lean\",\"734d4567efcf0df3ba28782359b07bd1a2779e73b33c063037deec27d0b36bb8\",0,\"algebra_608897\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008053.lean\",\"9960232775a4125e833b6cb2c030720c7f113ec8ec862129f0a01543ad6ce900\",0,\"inequalities_209480\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008054.lean\",\"a568558b182dba39b105e72aa38066c3d4bee59c76fef110da524006e34c7648\",0,\"inequalities_290816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686144,
+      "path": "data/train/p43/numina-001610-0000-471a26b4811c4022.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "471a26b4811c4022012dda8b0554eb92991932e016e4c721d454edf5bbc343c9"
+    },
+    {
+      "bytes": 99351,
+      "path": "data/train/p43/numina-001610-0001-6ba9deaf69738286.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6ba9deaf69738286eae44c9eb088cccded2d036b54ad5daaabd314d3cee0df87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001611.json b/manifests/batches/numina/001611.json
index 8a47cbc327b9f088d1dcc2b180a33f59d94891b5..224b1bd642cc8bc53de33c4f380a0f2649aa3545 100644
--- a/manifests/batches/numina/001611.json
+++ b/manifests/batches/numina/001611.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001611",
   "batch_fingerprint": "ddf2128871378afd0c41a3148d4fc9c29c9a820803999d07512fb9caf4c3c70c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001611-0000-8c2bb645b5317dab.parquet",
-      "sha256": "8c2bb645b5317dabd60f774d886a40ca5ebef994ceff68e3360360b9adf27cd3",
-      "bytes": 612507,
-      "rows": 20,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/numina-001611-0000-1c5252206aac9179.parquet",
-      "sha256": "1c5252206aac9179475d3516448148643702ec2a2628f5818eb3601a288d865d",
-      "bytes": 160351,
-      "rows": 7,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e5ef78d-8143-5e51-9973-7307fbd6b912",
     "numina:13ac9e3a-4aaf-5fb1-bca7-8e2226a95695",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008057.lean\",\"15169ff4e54f31ee95b146fa237f791f8216620704bab423f9157b83a586ec42\",0,\"algebra_314650\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008058.lean\",\"72b37c770a9159401dc8247dfee63ff569a664778833bff48f8c790e43cf37d4\",0,\"algebra_17231\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008059.lean\",\"f377da3558ae07a08885328f59254bfafb17cdab78d83fd55913d377f6880e1a\",0,\"algebra_10200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612507,
+      "path": "data/train/pff/numina-001611-0000-8c2bb645b5317dab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8c2bb645b5317dabd60f774d886a40ca5ebef994ceff68e3360360b9adf27cd3"
+    },
+    {
+      "bytes": 160351,
+      "path": "data/internal_test/pff/numina-001611-0000-1c5252206aac9179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1c5252206aac9179475d3516448148643702ec2a2628f5818eb3601a288d865d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001612.json b/manifests/batches/numina/001612.json
index 14cd2090108d507724baba30aeea59a93ca0d073..03491cdfadf501b15a3f2d770874a47d1b50623d 100644
--- a/manifests/batches/numina/001612.json
+++ b/manifests/batches/numina/001612.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001612",
   "batch_fingerprint": "c4458470d93b0a01478e39d2212183533d3863f063d1e979865f5016acbca214",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001612-0000-821b4bdce0c8f2ca.parquet",
-      "sha256": "821b4bdce0c8f2ca0e37035a1708c6bcc882f6d59862dcb54127a91eea8a476a",
-      "bytes": 657362,
-      "rows": 37,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02f8b7ea-d27e-5339-aed5-3a17c89492f0",
     "numina:49f9b472-7cdd-5c3f-ae1a-61699d99eedf",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008062.lean\",\"9688378755ad41495c51dea045cf49a14c4f85f78c55cbac997a983e5d466ae5\",0,\"algebra_18869\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008063.lean\",\"848703f624beda1a93f13cf4a6cfabeac3ce018759b6573c2a4c0d0173470185\",0,\"algebra_97845\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008064.lean\",\"b8b7df85c3a7716443b25ec39ced28405e8a77d6bcaa8c63037715167690a22d\",0,\"inequalities_178178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 657362,
+      "path": "data/train/p21/numina-001612-0000-821b4bdce0c8f2ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "821b4bdce0c8f2ca0e37035a1708c6bcc882f6d59862dcb54127a91eea8a476a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001613.json b/manifests/batches/numina/001613.json
index bbf8a4b78cb468610f6cbf8239331c63cd873248..7486baf637c6ea5976caeee49faae13fb5bcae0f 100644
--- a/manifests/batches/numina/001613.json
+++ b/manifests/batches/numina/001613.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001613",
   "batch_fingerprint": "bfa7a7e2453c44f8def0c9cf282d91845ec5439d5bf66aa94e03d581dedabed6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001613-0000-6f318eb98473740e.parquet",
-      "sha256": "6f318eb98473740e51c365ec91f3265cc977f4db2d60a95cb49ef0170f075207",
-      "bytes": 410373,
-      "rows": 29,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/dev/numina-001613-0000-5bb9244c9afed85e.parquet",
-      "sha256": "5bb9244c9afed85e87b004fd233f3e1d789c5dcf79bc8cf99bf81f3612bc20a9",
-      "bytes": 30824,
-      "rows": 1,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4934be8f-e272-57de-bfed-77d9ded473c9",
     "numina:557e4361-0cc9-5859-aa77-c4c3b797797e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008067.lean\",\"c4498a4fa3f431a28ee0256a6c22d841411af6a17f71c00450cd814d5a52409a\",0,\"algebra_608440\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008068.lean\",\"a2f68d1a854326b2dc18a45717e8022f56ba1f37792eeac78267461db7394248\",0,\"algebra_97605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008069.lean\",\"e53e972106701662eac8e5fe49090d05c1c6314793b634d8d453b6aa35c6e3f5\",0,\"sqrt_power_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 410373,
+      "path": "data/train/p2d/numina-001613-0000-6f318eb98473740e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6f318eb98473740e51c365ec91f3265cc977f4db2d60a95cb49ef0170f075207"
+    },
+    {
+      "bytes": 30824,
+      "path": "data/dev/p2d/numina-001613-0000-5bb9244c9afed85e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "5bb9244c9afed85e87b004fd233f3e1d789c5dcf79bc8cf99bf81f3612bc20a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001614.json b/manifests/batches/numina/001614.json
index dbf2f4fe534b793879567b10f50a849b3a31cf2a..aead328775eb674165f89c71c563263829441d43 100644
--- a/manifests/batches/numina/001614.json
+++ b/manifests/batches/numina/001614.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001614",
   "batch_fingerprint": "df63d66d0345592e0cf97bff095edd7f4b6e7be8c4eeba864d691d994af47ebf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001614-0000-6a7b178f680fabda.parquet",
-      "sha256": "6a7b178f680fabdaf6328ec615631f3bdd06d93c240b3d45165e92800ce72afe",
-      "bytes": 612052,
-      "rows": 19,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    },
-    {
-      "path": "data/train/numina-001614-0001-a5a3edd86e8b7ca2.parquet",
-      "sha256": "a5a3edd86e8b7ca2961817886a985e6f5df8280df61049a1ed3974b159e8010a",
-      "bytes": 638488,
-      "rows": 49,
-      "revision": "082c7a4926013934d592e8a1e648a6bf0772fddf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06837df5-daaf-536c-b589-e04c4a09bcad",
     "numina:26a85193-9277-5953-973b-753790109b7a",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008074.lean\",\"95bbfadd953244556b1f1d6371b4bff588f5ead99d1120c38e84f98ba50cc2ee\",0,\"calculus_228123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612052,
+      "path": "data/train/pf5/numina-001614-0000-6a7b178f680fabda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6a7b178f680fabdaf6328ec615631f3bdd06d93c240b3d45165e92800ce72afe"
+    },
+    {
+      "bytes": 638488,
+      "path": "data/train/pf5/numina-001614-0001-a5a3edd86e8b7ca2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "a5a3edd86e8b7ca2961817886a985e6f5df8280df61049a1ed3974b159e8010a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001615.json b/manifests/batches/numina/001615.json
index b9ff32e0837bc155bed713a7019813c8ff3acc46..14833e14a80da0c8b1640cd35026b4859e4ee99c 100644
--- a/manifests/batches/numina/001615.json
+++ b/manifests/batches/numina/001615.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001615",
   "batch_fingerprint": "5c3a81ddba426d6383f0f7687944cc95d12124845b30f23b9fc03e0f04c8c6cf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001615-0000-c82664c032d64184.parquet",
-      "sha256": "c82664c032d64184c11d62c9faa09a2d6acfba89cb2f16896177db745832f98c",
-      "bytes": 131459,
-      "rows": 21,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    },
-    {
-      "path": "data/internal_test/numina-001615-0000-7b008350447df330.parquet",
-      "sha256": "7b008350447df330662d62ab139db6e02ca58034aaa9ba8d4ed32a295abc9157",
-      "bytes": 41180,
-      "rows": 7,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:250271d8-e63c-5354-b397-9385b25fe7d5",
     "numina:36f63926-9cc1-5392-b7c5-d95902d59d8c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008077.lean\",\"794ffb873d1d6bc738695e3c84913de16b00c8dc4e65862894607c19ac41bfe5\",0,\"algebra_22447\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008078.lean\",\"b586c1af90c26e248619879937be53a3fb4c36f7839e121ee6dd83ab2c51ebb0\",0,\"algebra_4082\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008079.lean\",\"c35a61023b209b732680c7a2bdddfc00651f2dbe0c70f248075ef68ad1cb164b\",0,\"algebra_10265\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131459,
+      "path": "data/train/p66/numina-001615-0000-c82664c032d64184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c82664c032d64184c11d62c9faa09a2d6acfba89cb2f16896177db745832f98c"
+    },
+    {
+      "bytes": 41180,
+      "path": "data/internal_test/p66/numina-001615-0000-7b008350447df330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7b008350447df330662d62ab139db6e02ca58034aaa9ba8d4ed32a295abc9157"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001616.json b/manifests/batches/numina/001616.json
index f4422b9434f5f93816c4fcffef753c844103f2e9..f42369df9a2b4450ff2fb9f0065ea5f3b5951bfa 100644
--- a/manifests/batches/numina/001616.json
+++ b/manifests/batches/numina/001616.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001616",
   "batch_fingerprint": "f0406c97ebfc7696adf3661676b12bfb6d3c3614cee364d7624066f591b9d129",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001616-0000-d7521c438dd5fbf6.parquet",
-      "sha256": "d7521c438dd5fbf6499000d176b9f555e9bd257a82432d0f2646a99c46a43a48",
-      "bytes": 272926,
-      "rows": 39,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3bb9dd52-a934-5473-bad5-80eb1630034c",
     "numina:5eec702b-27ae-51ba-baaa-431893af28ad",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008082.lean\",\"6b3700654949a6b16a7ff491a7379255841ac6e3cbd8eb09019855a06f49631e\",0,\"algebra_135066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008083.lean\",\"aa33be1cdb3c48abf373ff6ff9f8d36898d400f0f5b60c2c8fa2bff6e1380270\",0,\"algebra_175511\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008084.lean\",\"ea81b9061dc5b5b0d8f0cb92fef332ea5a257ae39e87702712ba6af58d2ebc62\",0,\"algebra_21379\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272926,
+      "path": "data/train/pef/numina-001616-0000-d7521c438dd5fbf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "d7521c438dd5fbf6499000d176b9f555e9bd257a82432d0f2646a99c46a43a48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001617.json b/manifests/batches/numina/001617.json
index a96bdea4d9fb44eda7c5a477cd56f55b63afafc2..b6cd80e0f43f094643e468802596487492c2434a 100644
--- a/manifests/batches/numina/001617.json
+++ b/manifests/batches/numina/001617.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001617",
   "batch_fingerprint": "6fd1b83195f8d6c394f4b99612a4288438124c1c3f91c1cee4d25eda5813429b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001617-0000-6ed47e0a006bf0b7.parquet",
-      "sha256": "6ed47e0a006bf0b7d9a323abd53517b0379f435939a205a5e57c4521cfcbdde0",
-      "bytes": 158377,
-      "rows": 28,
-      "revision": "cb8bcf7e450d74b3e72f7176c7f3df15d2c2b0b8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:271fa579-790c-5138-a89a-6c6470e318d0",
     "numina:6bc196c8-beda-544f-9752-34b670f8d0f1",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008087.lean\",\"9172895634791d058d2d43f26be4b8553c091758abac4a43e86fb9b0b8ed4c57\",0,\"algebra_22449\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008088.lean\",\"0d9cbba6c18e6347085590b36c4ecc77f4986e11d318560ddb831f14c02728d6\",0,\"algebra_132858\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008089.lean\",\"6766aa001da9231704497a28325ed81fb01ccb616f0ba52c1e3d6970de20bbf9\",0,\"number_theory_40803\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158377,
+      "path": "data/train/pc7/numina-001617-0000-6ed47e0a006bf0b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "6ed47e0a006bf0b7d9a323abd53517b0379f435939a205a5e57c4521cfcbdde0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001618.json b/manifests/batches/numina/001618.json
index 3dbd0abc38575244f03660cffebeff8020c87f42..1e754f67fecf6cbd04359f2291a0e1cd6b57ac96 100644
--- a/manifests/batches/numina/001618.json
+++ b/manifests/batches/numina/001618.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001618",
   "batch_fingerprint": "b92b9b519b388f8834c6850e6ee99eca0934481bc88c8328f3ac13e94c569470",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001618-0000-3f1718141f17eb72.parquet",
-      "sha256": "3f1718141f17eb72ec6ca04bbf90331ba6ee1b5cf2aa39c7676e2124c5942140",
-      "bytes": 552111,
-      "rows": 19,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/train/numina-001618-0001-fe2c7bad0ba7f998.parquet",
-      "sha256": "fe2c7bad0ba7f9980ab8df9594ee3738a44f8786a18d89bff5264ad2c7e88371",
-      "bytes": 364787,
-      "rows": 2,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2e09deed-2839-5ada-b1f8-5a60f8e690d0",
     "numina:4f3aaff3-01d3-5176-b7ef-b2073a874ca1",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008092.lean\",\"99710878c442d9d37b73ac2baae07357a46f5aa46bf69eb200dc4a86180a6bd6\",0,\"algebra_10268\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008093.lean\",\"50d60965aaad145d3b3b4cbcfdb0369082901f5f0674232bccc3b35196aa90ca\",0,\"algebra_18880\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008094.lean\",\"1cb0145b5c34df65bb82a729ed24cc194a4e9fb88a59d844a304086651722cfd\",0,\"algebra_228191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552111,
+      "path": "data/train/pe9/numina-001618-0000-3f1718141f17eb72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3f1718141f17eb72ec6ca04bbf90331ba6ee1b5cf2aa39c7676e2124c5942140"
+    },
+    {
+      "bytes": 364787,
+      "path": "data/train/pe9/numina-001618-0001-fe2c7bad0ba7f998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "fe2c7bad0ba7f9980ab8df9594ee3738a44f8786a18d89bff5264ad2c7e88371"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001619.json b/manifests/batches/numina/001619.json
index dc69183c154180188f43b05351c535d02715ec3b..80a64a29b710cf7e24991160884fdf5dca66d6d2 100644
--- a/manifests/batches/numina/001619.json
+++ b/manifests/batches/numina/001619.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001619",
   "batch_fingerprint": "3db0a84df7ae48ff9f4aa74b924238b1429c268f5f1b5f2afccf65f39e67d8f9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001619-0000-32f0dd4f149339ce.parquet",
-      "sha256": "32f0dd4f149339ce83839211abce7c90601b9266e52e39a2635984ca433ff347",
-      "bytes": 235346,
-      "rows": 46,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2a66f969-fdae-5253-b5d2-cf4c80af44a4",
     "numina:a02e1387-1dcd-595f-bea3-51a089130186",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008097.lean\",\"1fcbb5c395693c08dd6307b8725e55083aa5b437446142b37bf6f47ebde5ba33\",0,\"algebra_605287\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008098.lean\",\"3d1fb349643e4cd3463f5846061426ed3517c74077aa39143faa0751d8867247\",0,\"algebra_4091\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008099.lean\",\"98455d6a8b1b68ed81d8455e811b067909626f619cf0de0196745b1b6654b69d\",0,\"algebra_175585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235346,
+      "path": "data/train/pc3/numina-001619-0000-32f0dd4f149339ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "32f0dd4f149339ce83839211abce7c90601b9266e52e39a2635984ca433ff347"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001620.json b/manifests/batches/numina/001620.json
index f8bbe730bc7b6d2efe9e26d688f948d444282ac6..f142defbfe611eaeda01c9de573a734749082b29 100644
--- a/manifests/batches/numina/001620.json
+++ b/manifests/batches/numina/001620.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001620",
   "batch_fingerprint": "37e5ab03bf46698df8900049d8cd859ff0f2c8e793c1784ed4393af51cc5e96c",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001620-0000-570d2308a019fbdd.parquet",
-      "sha256": "570d2308a019fbdd229c85099adb091f73197dde9064965102bfa9272524d9ce",
-      "bytes": 287355,
-      "rows": 13,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/numina-001620-0000-9600b6fbcb8836be.parquet",
-      "sha256": "9600b6fbcb8836bed4bc5493c1f3119fba01ad4db37c8d4037d9d4f9d010f5ed",
-      "bytes": 79392,
-      "rows": 3,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b193a31-a0b1-51bf-9808-4841aa2bd8c9",
     "numina:2ead2ebf-68d2-529a-ab00-91d04415fda0",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008101.lean\",\"ec7c23627f4ec83539e1c51650741179056bbb431798a3938739b4376d19784c\",0,\"inequalities_296033\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008102.lean\",\"02f7000ad796b56fd54fcc2f609e19ae637e1b08cd4b47f1af4dd01acfeb834e\",0,\"inequalities_605667\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008103.lean\",\"55b7f4d848e43e659fd5756e8b627257e96bd01eff076c5b7dab16aff3eccf42\",0,\"inequalities_605291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287355,
+      "path": "data/train/p51/numina-001620-0000-570d2308a019fbdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "570d2308a019fbdd229c85099adb091f73197dde9064965102bfa9272524d9ce"
+    },
+    {
+      "bytes": 79392,
+      "path": "data/internal_test/p51/numina-001620-0000-9600b6fbcb8836be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9600b6fbcb8836bed4bc5493c1f3119fba01ad4db37c8d4037d9d4f9d010f5ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001621.json b/manifests/batches/numina/001621.json
index b320c4edcaa68312ed24040048b63756327ae6b2..0589c18aed56395401c282b6921bc544ecc13863 100644
--- a/manifests/batches/numina/001621.json
+++ b/manifests/batches/numina/001621.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001621",
   "batch_fingerprint": "29f1570674b40a2062ff1a8131f2515fe5f057659db2da56c39728b991612c2c",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001621-0000-0aa89be9c6fe6db4.parquet",
-      "sha256": "0aa89be9c6fe6db4f4477d4e3bfd13bae0995464ebb3198b9882b35aa275241b",
-      "bytes": 129498,
-      "rows": 8,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    },
-    {
-      "path": "data/dev/numina-001621-0000-67ccbbfa1c137138.parquet",
-      "sha256": "67ccbbfa1c137138aac0a381b0fa9620fcdc6dde8df2c4876537fca7bec23a92",
-      "bytes": 161799,
-      "rows": 5,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:115fc1dd-994a-55df-8a00-963516f98192",
     "numina:843b922c-d946-5f47-a407-94403b53e9fa",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008106.lean\",\"0a0351c4c6d1f3a4e30fee35d8cd99774e35970fe729032a5df916ea8445cfba\",0,\"algebra_19967\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008108.lean\",\"78357cbf70ff56284f28cf7cda321779748ecb31393a3f3b67e467ae0a755b9a\",0,\"number_theory_609480\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008109.lean\",\"2f686f7c6f8e840c15457ddf65069063e609be10eb84d5cd3880d32144ca9c9b\",0,\"algebra_605741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129498,
+      "path": "data/train/p8f/numina-001621-0000-0aa89be9c6fe6db4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0aa89be9c6fe6db4f4477d4e3bfd13bae0995464ebb3198b9882b35aa275241b"
+    },
+    {
+      "bytes": 161799,
+      "path": "data/dev/p8f/numina-001621-0000-67ccbbfa1c137138.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "67ccbbfa1c137138aac0a381b0fa9620fcdc6dde8df2c4876537fca7bec23a92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001622.json b/manifests/batches/numina/001622.json
index 1cfae00c53ab2bd74c9075ec29909662e290ff7f..ca2604a0434ceb274af69a0fe56ca0af3919f70e 100644
--- a/manifests/batches/numina/001622.json
+++ b/manifests/batches/numina/001622.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001622",
   "batch_fingerprint": "54b375e7dc3deb7392667628f4608e4042b448e7b5feaf43634046dbe88ccaaa",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001622-0000-ba4d84347589d039.parquet",
-      "sha256": "ba4d84347589d0391417d2ce6a252322bb3df50acb75fcc28199ebf6ec0de0b9",
-      "bytes": 438194,
-      "rows": 48,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/train/numina-001622-0001-b22a154000120206.parquet",
-      "sha256": "b22a154000120206e9318e7af05581ae8c91fda1b9652b189fd6fa077d2ca33d",
-      "bytes": 153874,
-      "rows": 8,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12ddfb64-0f4c-582d-8a5b-7e064d545bf9",
     "numina:65d16cb0-5c8b-5391-9a3e-fd04edf61f9f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008112.lean\",\"ff33b2cfdcd86bdd1bc4a754f28b9fefbc1f8f7608d31997b3a812034a213687\",0,\"algebra_10298\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008113.lean\",\"a874434b5f7b349057f2512f4f1e61dff3c75b00858f2ebe04c7d66cefa491e8\",0,\"number_theory_263018\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008114.lean\",\"578cca1c541179bbc092d3d0dbb05c167c40c6a3816dafc459bedb9df48e5283\",0,\"algebra_158124\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438194,
+      "path": "data/train/p10/numina-001622-0000-ba4d84347589d039.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "ba4d84347589d0391417d2ce6a252322bb3df50acb75fcc28199ebf6ec0de0b9"
+    },
+    {
+      "bytes": 153874,
+      "path": "data/train/p10/numina-001622-0001-b22a154000120206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b22a154000120206e9318e7af05581ae8c91fda1b9652b189fd6fa077d2ca33d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001623.json b/manifests/batches/numina/001623.json
index a429d702ab3b338e186bc29d435ca41093c1dd28..94fdf9717028c832886d01448cc68e0d98009c90 100644
--- a/manifests/batches/numina/001623.json
+++ b/manifests/batches/numina/001623.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001623",
   "batch_fingerprint": "2482f03563616f8ddf64cfcf259b06c0bc68e30a13744a781c67b18604d2dd94",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001623-0000-f59493e0b67ad213.parquet",
-      "sha256": "f59493e0b67ad213cc2c491c4390f5389bf5d514c720132265da15eecd87a915",
-      "bytes": 249469,
-      "rows": 33,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/numina-001623-0000-10c7587af5821fc7.parquet",
-      "sha256": "10c7587af5821fc7416b123c3b6cff8e6f7a314cf7ebe9308478b0b97a3ed47c",
-      "bytes": 108342,
-      "rows": 3,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01d89852-ea0f-5a66-950b-3641fe4ee5d2",
     "numina:1f60568f-c1ce-5ebf-95ee-fe4c9d3656a5",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008117.lean\",\"e0624242be9044767e8419d18169184f7eeac31f2c7f6b51cdfd12dd979a0d37\",1,\"number_theory_295834b\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008118.lean\",\"527429c1c107f0dca23ffed287670c555b68eebecc8a61aa83dba4bf26929ad8\",0,\"algebra_171718\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008119.lean\",\"ccb97e0a2c66d06054f20a8d7caf4bce81be3e357fc13b66dd505e136ed7f380\",0,\"number_theory_111336\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249469,
+      "path": "data/train/p31/numina-001623-0000-f59493e0b67ad213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "f59493e0b67ad213cc2c491c4390f5389bf5d514c720132265da15eecd87a915"
+    },
+    {
+      "bytes": 108342,
+      "path": "data/dev/p31/numina-001623-0000-10c7587af5821fc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "10c7587af5821fc7416b123c3b6cff8e6f7a314cf7ebe9308478b0b97a3ed47c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001624.json b/manifests/batches/numina/001624.json
index b1c2ac8923b0835bf1cef296e28c1b8d7054bfe7..08810c93b5fbbdb718f7d9120a527d4743df2868 100644
--- a/manifests/batches/numina/001624.json
+++ b/manifests/batches/numina/001624.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001624",
   "batch_fingerprint": "d5e59abdfe7da4110e17a1a4ed65d2faa4a77fdbab062eb7a9831e0359383479",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001624-0000-4388bc163692fe72.parquet",
-      "sha256": "4388bc163692fe72faf30564852a557fd02b80eddf2599b4b2a2c98becb4610a",
-      "bytes": 504968,
-      "rows": 56,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/internal_test/numina-001624-0000-0eaa52bfeaf93c6a.parquet",
-      "sha256": "0eaa52bfeaf93c6afaa9489a4e8f2ce04cf55a5c5b5b45bfe35bf8cac675f58e",
-      "bytes": 84632,
-      "rows": 5,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b93d9b7-f24c-506f-b114-0f13a86f7423",
     "numina:9cece087-8ccd-5983-a3cf-60e1bb7fdf4b",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008122.lean\",\"1b857ccd718965d257f1a9ee24f0da097192d6a60170158d72879f7c1dca5cd5\",0,\"number_theory_608283\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008123.lean\",\"a82736d41e95e952138190309d66d9575bdccb9e28a813656c3ecefcb7dad478\",0,\"calculus_23384\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008124.lean\",\"3b8a7e9f683246e77e047b6360040ebdfb00308afe628fade9cd34a931f29e91\",0,\"number_theory_295886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 504968,
+      "path": "data/train/pa7/numina-001624-0000-4388bc163692fe72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "4388bc163692fe72faf30564852a557fd02b80eddf2599b4b2a2c98becb4610a"
+    },
+    {
+      "bytes": 84632,
+      "path": "data/internal_test/pa7/numina-001624-0000-0eaa52bfeaf93c6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0eaa52bfeaf93c6afaa9489a4e8f2ce04cf55a5c5b5b45bfe35bf8cac675f58e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001625.json b/manifests/batches/numina/001625.json
index 864ab4eca9e0637635bcdf91d9210368adc5e1b5..e7984bcfea254502e94713c23a2bebdb17ce8576 100644
--- a/manifests/batches/numina/001625.json
+++ b/manifests/batches/numina/001625.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001625",
   "batch_fingerprint": "64295ba2c040e5147b56cbfb997509169a7913685ee8435146afdbab372edfd9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001625-0000-79ef6fef8ca08dcd.parquet",
-      "sha256": "79ef6fef8ca08dcd917f1938e56658efc93c1e00e6835cc7f60e784567c1e3a7",
-      "bytes": 423488,
-      "rows": 44,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    },
-    {
-      "path": "data/dev/numina-001625-0000-34dd43e3fcf44d1e.parquet",
-      "sha256": "34dd43e3fcf44d1e5df1ef33a7fbae6daa8f07ced160b40a02a383af6c6015e6",
-      "bytes": 277798,
-      "rows": 8,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4648e6ee-cebb-5616-b110-aabd8371d354",
     "numina:65147308-8c8a-5444-ba28-d9e8dc3043a6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008127.lean\",\"19ab6425f5cac2b2f179f6e6f6c726eea7839af2ae89e65d147353903935568e\",0,\"inequalities_46413\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008128.lean\",\"f3c5239792e32408e253f62d90022e78ab4dea466274f367fdc669b87a9955ad\",0,\"number_theory_159256\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008129.lean\",\"d29f568abafe9cf2a29aee45d583a578538547853b62431c3e8f4c122b6b5e65\",0,\"algebra_9416\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423488,
+      "path": "data/train/p16/numina-001625-0000-79ef6fef8ca08dcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "79ef6fef8ca08dcd917f1938e56658efc93c1e00e6835cc7f60e784567c1e3a7"
+    },
+    {
+      "bytes": 277798,
+      "path": "data/dev/p16/numina-001625-0000-34dd43e3fcf44d1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "34dd43e3fcf44d1e5df1ef33a7fbae6daa8f07ced160b40a02a383af6c6015e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001626.json b/manifests/batches/numina/001626.json
index f18ac74b1dd91915cead68277148fa7dcbb50c84..aab9eea50b42d6f3113c6b96c911ebc1eede48ea 100644
--- a/manifests/batches/numina/001626.json
+++ b/manifests/batches/numina/001626.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001626",
   "batch_fingerprint": "2be67246abe279f06e4e24e2de5cd79db52db80dd0de97a22cabd6f7da68773f",
   "evidence": {
@@ -49,39 +48,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:68b371df-2a16-5de0-8b8b-6fecb903a0e6",
+    "numina:6c504120-855d-530b-bead-d3b3e5672be5",
+    "numina:95a32baf-f337-57b6-b080-5d46608e3eac",
+    "numina:eaa82ffe-4bbc-59f0-8384-d7079ad383dc"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008130.lean\",\"79fa4766816189c8054c3bb5510187018efc840ef5cf84c90c47f9e6845e2ef8\",0,\"number_theory_222336\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008132.lean\",\"08057e8bf166944a33487d6c4e638d6654b4f55baad7dc84f312103dbe8fa452\",0,\"algebra_610161\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008133.lean\",\"3f6761e7db0ddfbb64459a3c66cda2cb84b38680d4ad221cb0d71f9dfb5a66d3\",0,\"combinatorics_24564\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008134.lean\",\"0ad1fa626c13967f115ff00299144a574c0d470035341473cd7adbd168e6db61\",0,\"algebra_175467\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001626-0000-ff90c47443c96e3d.parquet",
-      "sha256": "ff90c47443c96e3d67e71811ed13fe185704bf6793717d4eb6974de79657b6c2",
       "bytes": 143133,
+      "path": "data/train/pe4/numina-001626-0000-ff90c47443c96e3d.parquet",
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       "rows": 12,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
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-      "sha256": "c99abe644ecfe2f543158a2fcdd2f87c98c630da2d3c7cd09be1d9fd143475b7",
       "bytes": 613373,
+      "path": "data/train/pe4/numina-001626-0001-c99abe644ecfe2f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "c99abe644ecfe2f543158a2fcdd2f87c98c630da2d3c7cd09be1d9fd143475b7"
     },
     {
-      "path": "data/dev/numina-001626-0000-b09e1c640695cf42.parquet",
-      "sha256": "b09e1c640695cf4297aa2b85724815a8e51a8c4691ba4151c9d2d6ec9c9c7a79",
       "bytes": 357530,
+      "path": "data/dev/pe4/numina-001626-0000-b09e1c640695cf42.parquet",
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       "rows": 20,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "b09e1c640695cf4297aa2b85724815a8e51a8c4691ba4151c9d2d6ec9c9c7a79"
     }
-  ],
-  "proof_ids": [
-    "numina:68b371df-2a16-5de0-8b8b-6fecb903a0e6",
-    "numina:6c504120-855d-530b-bead-d3b3e5672be5",
-    "numina:95a32baf-f337-57b6-b080-5d46608e3eac",
-    "numina:eaa82ffe-4bbc-59f0-8384-d7079ad383dc"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008130.lean\",\"79fa4766816189c8054c3bb5510187018efc840ef5cf84c90c47f9e6845e2ef8\",0,\"number_theory_222336\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008132.lean\",\"08057e8bf166944a33487d6c4e638d6654b4f55baad7dc84f312103dbe8fa452\",0,\"algebra_610161\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008133.lean\",\"3f6761e7db0ddfbb64459a3c66cda2cb84b38680d4ad221cb0d71f9dfb5a66d3\",0,\"combinatorics_24564\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008134.lean\",\"0ad1fa626c13967f115ff00299144a574c0d470035341473cd7adbd168e6db61\",0,\"algebra_175467\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001627.json b/manifests/batches/numina/001627.json
index d93243f1da4c8e0693b270ec4eec662dd3f6ea15..2b43dde38061ed7fced42d36a09550a209966c6d 100644
--- a/manifests/batches/numina/001627.json
+++ b/manifests/batches/numina/001627.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001627",
   "batch_fingerprint": "aedf99aa427acf063b3df122264fb04ad532ab1685e1ec57fdb87dd24e3a7266",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001627-0000-f8bfca5086df1a47.parquet",
-      "sha256": "f8bfca5086df1a476593d7a804b24d9a7d6e63f2efd21655baa22ad52f2ce6b2",
-      "bytes": 220873,
-      "rows": 18,
-      "revision": "67b731f254e1335bd0b3f445cfe48ab737fd8d18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46487993-1ee0-53fd-a909-bdc75f747280",
     "numina:5a7a7689-e408-503b-815a-9f6a0cea17bb",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008137.lean\",\"f72c266d73b8874d912fc0b5841941ed95028da930b8c0011ca104ef5197409f\",0,\"algebra_14117\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008138.lean\",\"4c7b8065d885367801d512975bf582743bc491eb99f496cf2b2a79d6bb4efad1\",0,\"algebra_75705\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008139.lean\",\"386b80ff3af97e723e317d5b78c37d276052103e707c4feb03ac913d11de3612\",0,\"algebra_159262\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220873,
+      "path": "data/train/pff/numina-001627-0000-f8bfca5086df1a47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f8bfca5086df1a476593d7a804b24d9a7d6e63f2efd21655baa22ad52f2ce6b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001628.json b/manifests/batches/numina/001628.json
index 4d6787b049c85774d435854542c47bdf91830281..dc0d2c67c7becbbd37b88c3433501a86bf525957 100644
--- a/manifests/batches/numina/001628.json
+++ b/manifests/batches/numina/001628.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001628",
   "batch_fingerprint": "5231c9511b0a51c9dc0008d2b151752dc81b7c0ac2bcdf238a14f3a0385506c0",
   "evidence": {
@@ -18,62 +17,63 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:301c1ff9-ab34-5d9c-b118-f195b0102571",
+    "numina:7459b7db-fba1-5f0d-91c0-d230561ad2c9",
+    "numina:7dad223c-f59e-5d75-ab6d-efe32638b407",
+    "numina:b7ddf51c-30af-5229-97db-a7635929d642",
+    "numina:cc1caaa0-af2a-5804-b91e-de54f8d5a0e9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008140.lean\",\"60687b70633d1b687f75545a8c73b0fa2e706f2777b4be4d16090d45ae0e0cbc\",0,\"algebra_9430\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008141.lean\",\"b6e0b19147a97c65e409545d746cc24ba3132a309dbf3d18e35fcfa31af6a3e4\",0,\"algebra_301808\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008142.lean\",\"3b9fed514417f514910fb2e3357167f2cbc8d4d4fef40fc870ae97893138f278\",0,\"inequalities_610173\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008143.lean\",\"241086b658768a9d0f827f1a8b341bd468e78190df029d734f7a34e07031ed8b\",0,\"algebra_251725\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008144.lean\",\"61bbf5a55232f30c130c5719a4c0cf11a50d0c79ab4914a5274fad2c655b5d10\",0,\"inequalities_37223\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001628-0000-f83842e56e3954c4.parquet",
-      "sha256": "f83842e56e3954c4c8e2c50c40fc7d77e718f344a236bd9297008f0595de30f6",
       "bytes": 52591,
+      "path": "data/train/pb6/numina-001628-0000-f83842e56e3954c4.parquet",
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-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "e029d58f4d316d3dedae93a40f8385c2cd3d98f11dde03f88e268227f6877799"
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     {
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-      "sha256": "68e080d331ebe52067f9b108dd0b116cd4144ce6ab3602a39c0590a9afbffb12",
       "bytes": 1004739,
+      "path": "data/train/pb6/numina-001628-0002-68e080d331ebe520.parquet",
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       "rows": 1,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "68e080d331ebe52067f9b108dd0b116cd4144ce6ab3602a39c0590a9afbffb12"
     },
     {
-      "path": "data/train/numina-001628-0003-c84e5140f2760006.parquet",
-      "sha256": "c84e5140f2760006e8e43c58dbac026664d73b1c8fbe341cfc4cf74758484c73",
       "bytes": 143505,
+      "path": "data/train/pb6/numina-001628-0003-c84e5140f2760006.parquet",
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       "rows": 6,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "c84e5140f2760006e8e43c58dbac026664d73b1c8fbe341cfc4cf74758484c73"
     },
     {
-      "path": "data/dev/numina-001628-0000-5874938ce8e8b802.parquet",
-      "sha256": "5874938ce8e8b8027679f11aa7044c63d366a5b912dd8f79f18cc563a5445369",
       "bytes": 58759,
+      "path": "data/dev/pb6/numina-001628-0000-5874938ce8e8b802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "5874938ce8e8b8027679f11aa7044c63d366a5b912dd8f79f18cc563a5445369"
     },
     {
-      "path": "data/internal_test/numina-001628-0000-c71e816517b7ba1a.parquet",
-      "sha256": "c71e816517b7ba1abe6b90cb2c26543f769f08316f6462c844a9dbde68dda0aa",
       "bytes": 167111,
+      "path": "data/internal_test/pb6/numina-001628-0000-c71e816517b7ba1a.parquet",
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       "rows": 5,
-      "revision": "6965a67906d356b4028e756dc7591bfec345e7e9"
+      "sha256": "c71e816517b7ba1abe6b90cb2c26543f769f08316f6462c844a9dbde68dda0aa"
     }
-  ],
-  "proof_ids": [
-    "numina:301c1ff9-ab34-5d9c-b118-f195b0102571",
-    "numina:7459b7db-fba1-5f0d-91c0-d230561ad2c9",
-    "numina:7dad223c-f59e-5d75-ab6d-efe32638b407",
-    "numina:b7ddf51c-30af-5229-97db-a7635929d642",
-    "numina:cc1caaa0-af2a-5804-b91e-de54f8d5a0e9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008140.lean\",\"60687b70633d1b687f75545a8c73b0fa2e706f2777b4be4d16090d45ae0e0cbc\",0,\"algebra_9430\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008141.lean\",\"b6e0b19147a97c65e409545d746cc24ba3132a309dbf3d18e35fcfa31af6a3e4\",0,\"algebra_301808\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008142.lean\",\"3b9fed514417f514910fb2e3357167f2cbc8d4d4fef40fc870ae97893138f278\",0,\"inequalities_610173\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008143.lean\",\"241086b658768a9d0f827f1a8b341bd468e78190df029d734f7a34e07031ed8b\",0,\"algebra_251725\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008144.lean\",\"61bbf5a55232f30c130c5719a4c0cf11a50d0c79ab4914a5274fad2c655b5d10\",0,\"inequalities_37223\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001629.json b/manifests/batches/numina/001629.json
index 73696bc36bb66a6177ef2e8e4a8acb640050e530..b2d0528e57106990aa649a7098701d4f85f1a7e7 100644
--- a/manifests/batches/numina/001629.json
+++ b/manifests/batches/numina/001629.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001629",
   "batch_fingerprint": "021345e8262dd58c9ee131b0b92f1c6bf769d45583bb675b05af34ad5d4328b3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001629-0000-a45b9d623da69f44.parquet",
-      "sha256": "a45b9d623da69f445e84b6954ad9a66459be5e8c462a13375ec7e109a3bdffb4",
-      "bytes": 638176,
-      "rows": 48,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/train/numina-001629-0001-da48f1805eaa4b08.parquet",
-      "sha256": "da48f1805eaa4b083a2a5468549d19f90efa26dc0aa5c693114798d233956aba",
-      "bytes": 593121,
-      "rows": 99,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/train/numina-001629-0002-1784731d0a513483.parquet",
-      "sha256": "1784731d0a513483c018d42a57a0b8e2b64e1eef9e5af51fc255c3e4c82f56fa",
-      "bytes": 153109,
-      "rows": 6,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3b2fbf58-8d09-5131-b76c-b81ed6b8d56f",
     "numina:40918b74-eeaf-59eb-a035-992b358599a0",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008147.lean\",\"b0fbd373f4591c02c058f8f59f8e9fc46b54983f4a5181603e55b589a273cfab\",0,\"algebra_195320\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008148.lean\",\"afa84f23ceb9e9d34974f763710e5492cac89b9cfea59487286b7e610e8a9fde\",0,\"algebra_605525\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008149.lean\",\"efd9a78b73e3212a9e3dcb7c54d9a58102acbfa2edb9d354e363b3ef12f41a0a\",0,\"number_theory_302215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 638176,
+      "path": "data/train/p2a/numina-001629-0000-a45b9d623da69f44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "a45b9d623da69f445e84b6954ad9a66459be5e8c462a13375ec7e109a3bdffb4"
+    },
+    {
+      "bytes": 593121,
+      "path": "data/train/p2a/numina-001629-0001-da48f1805eaa4b08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "da48f1805eaa4b083a2a5468549d19f90efa26dc0aa5c693114798d233956aba"
+    },
+    {
+      "bytes": 153109,
+      "path": "data/train/p2a/numina-001629-0002-1784731d0a513483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1784731d0a513483c018d42a57a0b8e2b64e1eef9e5af51fc255c3e4c82f56fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001630.json b/manifests/batches/numina/001630.json
index 3ccff1f924d5c92670da559e2f52081c512aa92a..b254311de2d1a91e2e6d02998b1ea42d82f7ebed 100644
--- a/manifests/batches/numina/001630.json
+++ b/manifests/batches/numina/001630.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001630",
   "batch_fingerprint": "52389ba4bc40e0f9e1f685ba7ce7b3a82d24f2a9e50ab10178ea8aa85794e65b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001630-0000-a746a2cdaf457218.parquet",
-      "sha256": "a746a2cdaf4572182f9f1942b7f9c8617ab623d410a54fb8dd7c99e85325a1e7",
-      "bytes": 56399,
-      "rows": 7,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/dev/numina-001630-0000-a1327dd0a27a1a6c.parquet",
-      "sha256": "a1327dd0a27a1a6c56bec44ebc7e738f3d32017bd28d653a4f449fc76e66adb5",
-      "bytes": 138087,
-      "rows": 4,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/numina-001630-0000-da8259f85ef08836.parquet",
-      "sha256": "da8259f85ef088362c43253641ff5005bf8fd2d4fa36d0e9c8cceec4dc3ba204",
-      "bytes": 357580,
-      "rows": 14,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4605a5d8-2075-5498-83ea-ec40974b1b72",
     "numina:5d1e3d23-8bb6-580d-8acc-995defc49d6e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008152.lean\",\"c739abe8a72a4d397395489d317bdc4cfc71d01556ff11d0f6a97b27e752c841\",0,\"algebra_251758\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008153.lean\",\"449e14af4dc8dae3b469cff267e79a5cb6cbc56899e8abc089fa54cfeeb0fd78\",0,\"number_theory_98368\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008154.lean\",\"8f9b6f7e07cf5dff9d026e5ded54ac45f6428dd28ed19ed6936d6b603f3751f0\",0,\"number_theory_605529\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56399,
+      "path": "data/train/p17/numina-001630-0000-a746a2cdaf457218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a746a2cdaf4572182f9f1942b7f9c8617ab623d410a54fb8dd7c99e85325a1e7"
+    },
+    {
+      "bytes": 138087,
+      "path": "data/dev/p17/numina-001630-0000-a1327dd0a27a1a6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a1327dd0a27a1a6c56bec44ebc7e738f3d32017bd28d653a4f449fc76e66adb5"
+    },
+    {
+      "bytes": 357580,
+      "path": "data/internal_test/p17/numina-001630-0000-da8259f85ef08836.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "da8259f85ef088362c43253641ff5005bf8fd2d4fa36d0e9c8cceec4dc3ba204"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001631.json b/manifests/batches/numina/001631.json
index cf16cffeff81bb46457928cf810c3784917d7f40..934a6ae3dbf4a4104a53f634e6f7c161b180d796 100644
--- a/manifests/batches/numina/001631.json
+++ b/manifests/batches/numina/001631.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001631",
   "batch_fingerprint": "671e2e2c2775117fe616a65e399307fbcd855f9b2a407eab4741901e5404506e",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001631-0000-4c13227068866f04.parquet",
-      "sha256": "4c13227068866f044fd0de7a6edfa93b9531377227f0b68a092b768cac5d09f0",
-      "bytes": 643798,
-      "rows": 42,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:38784c8a-b826-5b1b-8ee6-140904c676b6",
     "numina:5bc51951-a1b7-5aed-88b2-1e37b5e5dde5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008157.lean\",\"37bf7c858acd189aebf63c706c39adad70955600a7b42397a1d4dd757c6113f8\",0,\"number_theory_19241\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008158.lean\",\"0c3d50a51981dcccfd6704f29cb7daec351568ca89e612fb25b45b1e5cbd4f17\",0,\"algebra_24341\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008159.lean\",\"103cb5dcede1bbabff95f37eb080e5ceb60c65f90ddfab7df96f8c31832ab8ee\",0,\"algebra_609070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 643798,
+      "path": "data/train/p8a/numina-001631-0000-4c13227068866f04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "4c13227068866f044fd0de7a6edfa93b9531377227f0b68a092b768cac5d09f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001632.json b/manifests/batches/numina/001632.json
index c283b394ed24d72743fe785b50bf8c6d5cd7b6da..bffd276c1ff7e2a8c931b52556b541276f0f8cf4 100644
--- a/manifests/batches/numina/001632.json
+++ b/manifests/batches/numina/001632.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001632",
   "batch_fingerprint": "89ae3e26c79ef8bae213e7ee08705104cf96b4efbeb1bb3c55d08e82ba1337a1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001632-0000-a4d17d44ee4e72d8.parquet",
-      "sha256": "a4d17d44ee4e72d891aa821c7d73ee742d758ff4e5b7333fb9c8f39bc43587b5",
-      "bytes": 480719,
-      "rows": 44,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03542350-82cc-55e1-80ae-8ac07bd2d7d8",
     "numina:5b7914b9-62b1-5a76-a750-6b77e590fbe2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008162.lean\",\"963f0019d97172248c2dcaf60e5154bb57851e6aed9d76b864dad611948a0e0e\",0,\"number_theory_605636\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008163.lean\",\"cfcade8796d22c3c03e694fafbbc23ba4d1cfd623ded084f5b9423d34b2ef0ab\",0,\"algebra_131612\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008164.lean\",\"3d93e9084bad51083edaab43766e653543fc0f44e0f1710e8b8ab360959a13e5\",0,\"algebra_9320\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 480719,
+      "path": "data/train/pb3/numina-001632-0000-a4d17d44ee4e72d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "a4d17d44ee4e72d891aa821c7d73ee742d758ff4e5b7333fb9c8f39bc43587b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001633.json b/manifests/batches/numina/001633.json
index 2c1599b710ed6816752c87693a37ec48cf725e8e..4c34fb281f74cbd0d6f1c93a8e4b3b6bdb8f8d9a 100644
--- a/manifests/batches/numina/001633.json
+++ b/manifests/batches/numina/001633.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001633",
   "batch_fingerprint": "4417b68c760e4771f17b41e47a12d78d5227cde16355434c403d66d14eb09761",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001633-0000-1e0899c44b308ee3.parquet",
-      "sha256": "1e0899c44b308ee33e07ebd399a81707d0c56306a89f36c82d4f0295d56cf342",
-      "bytes": 762864,
-      "rows": 61,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/train/numina-001633-0001-fd09b1e9915e0c7a.parquet",
-      "sha256": "fd09b1e9915e0c7a27c90bb540e4a8fd99ed977c08ce8f34d792da63bd4a6edb",
-      "bytes": 387380,
-      "rows": 6,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    },
-    {
-      "path": "data/train/numina-001633-0002-018aa4bc2c0b8215.parquet",
-      "sha256": "018aa4bc2c0b82155a3a673ae8602a5683436becb24dcf98ae52aa4e21088165",
-      "bytes": 953666,
-      "rows": 4,
-      "revision": "1041cbb8838269d5dea12abd0759da0b9fc4e1ce"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:87ba057a-7289-5e66-be70-0b90d991b738",
     "numina:88ee2b29-9b93-51ac-aa54-e12ff6b99508",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008167.lean\",\"fbacbd255b711c67603268a704b85dfef68d5815841a8e2c06c9a9cae2b88d55\",0,\"algebra_159342\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008168.lean\",\"6950a1d46d9c333121f863c632e6b528f5decedfe7f1315e719439cf95f95fc9\",0,\"number_theory_610661\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008169.lean\",\"5c34c22b7a9754ad519acf8f604a38d6ebf2a4ce4eb361e3396ca4f56bb35c75\",0,\"number_theory_98394\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 762864,
+      "path": "data/train/p51/numina-001633-0000-1e0899c44b308ee3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "1e0899c44b308ee33e07ebd399a81707d0c56306a89f36c82d4f0295d56cf342"
+    },
+    {
+      "bytes": 387380,
+      "path": "data/train/p51/numina-001633-0001-fd09b1e9915e0c7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fd09b1e9915e0c7a27c90bb540e4a8fd99ed977c08ce8f34d792da63bd4a6edb"
+    },
+    {
+      "bytes": 953666,
+      "path": "data/train/p51/numina-001633-0002-018aa4bc2c0b8215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "018aa4bc2c0b82155a3a673ae8602a5683436becb24dcf98ae52aa4e21088165"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001634.json b/manifests/batches/numina/001634.json
index 4f00e665912c24a2d95b57dcb909ec9634f0616f..7897f14023b9cb4bb606e33f504da5e13c17e9dc 100644
--- a/manifests/batches/numina/001634.json
+++ b/manifests/batches/numina/001634.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001634",
   "batch_fingerprint": "f8098728d5579e37f06daa53a8db81b2145e353963b67474f3f0b7a966b35194",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001634-0000-0353f6521d60283c.parquet",
-      "sha256": "0353f6521d60283c66e30db7296ea50577c6255db971a0e0d6ee9393b1b99e58",
-      "bytes": 270776,
-      "rows": 23,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/numina-001634-0000-41fdc09d7e6fecd4.parquet",
-      "sha256": "41fdc09d7e6fecd46308b8aa323c169f77d5c53d104874a739adab76be6fc5db",
-      "bytes": 124682,
-      "rows": 16,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0afd1fb7-998a-5c06-92b0-828b600962fe",
     "numina:1f76092e-ebc5-5f7e-b74f-704670f7d98e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008172.lean\",\"5336dd88eb0acf3a0ec14b49eb429bf9aa6afe0ff01966051b5b35ec03b22596\",0,\"number_theory_206892\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008173.lean\",\"148dbb0313bc81a75007e5a8839429afafb080811bc2b4395bd92e977138da2c\",0,\"algebra_10261\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008174.lean\",\"0255427c6eb2b7d56b89d99941af90fd02cc21176650a6f2982bc549ab19457f\",0,\"algebra_14362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270776,
+      "path": "data/train/pf2/numina-001634-0000-0353f6521d60283c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "0353f6521d60283c66e30db7296ea50577c6255db971a0e0d6ee9393b1b99e58"
+    },
+    {
+      "bytes": 124682,
+      "path": "data/internal_test/pf2/numina-001634-0000-41fdc09d7e6fecd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "41fdc09d7e6fecd46308b8aa323c169f77d5c53d104874a739adab76be6fc5db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001635.json b/manifests/batches/numina/001635.json
index 489c225d2d0100b49af3ffa46d11f72bb3e69a65..5fb0ea70f1f22d00f0aa8bde593d5f199e2ddb72 100644
--- a/manifests/batches/numina/001635.json
+++ b/manifests/batches/numina/001635.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001635",
   "batch_fingerprint": "32780c9e6cf38275860ed3bb628caae946b8931129aa05520898dded0c43d833",
   "evidence": {
@@ -46,15 +45,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001635-0000-911c170a6ef828ea.parquet",
-      "sha256": "911c170a6ef828ea9141b6540faecf1091248279f4af89c854ff82aee69c428a",
-      "bytes": 816221,
-      "rows": 41,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5c84e4c0-1400-5ca9-8e6e-18816102c237",
     "numina:64cde559-14ca-5926-b4e6-7a3050268856",
@@ -66,5 +57,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008176.lean\",\"738cb6195c7eb7175df4f7afe6c0e30ba7b4053207ac172db67186670efd6a88\",0,\"algebra_159395\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008177.lean\",\"534f3c04b535400bf2fa4a65ffeffa772c3496666f38afb300f572b07f9dea7c\",0,\"inequalities_605656\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008179.lean\",\"3a1d31672fe65b545b9ab38335ebb225189ca7edf603121466ffcfba2beac850\",0,\"algebra_94934\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 816221,
+      "path": "data/train/p53/numina-001635-0000-911c170a6ef828ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "911c170a6ef828ea9141b6540faecf1091248279f4af89c854ff82aee69c428a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001636.json b/manifests/batches/numina/001636.json
index 136ac070b9b963db2f14284e91034a09145ab142..eeea31a8ce4993a86344713768b30d6c2a10da56 100644
--- a/manifests/batches/numina/001636.json
+++ b/manifests/batches/numina/001636.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001636",
   "batch_fingerprint": "6d7f950ee08788d6ff88fd7195854ab920337328de3194e795ff9c2188e9e992",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001636-0000-a05dd977961d5899.parquet",
-      "sha256": "a05dd977961d589910c0849ce0a73b1c4b8a2077a6505866915e2a0dc1d70503",
-      "bytes": 293011,
-      "rows": 35,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1887e0f0-368b-53e5-94d7-2dbdb9552a2a",
     "numina:8a1fa5e8-0c2f-5eff-a218-547348d2c5a4",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008182.lean\",\"19b91ea1d93f518ae37296671979f6b21291585de353fb83d4041bff5667e7fe\",0,\"algebra_610682\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008183.lean\",\"b418aa73d20ac31b5883bd79f984e0361c7cb370711af635b952961f4e6cffa6\",0,\"algebra_18775\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008184.lean\",\"21b3b3f566327736c8a70c0b08b1cb1313f8439711781592676fa81962a9bae9\",0,\"inequalities_159432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293011,
+      "path": "data/train/p1e/numina-001636-0000-a05dd977961d5899.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "a05dd977961d589910c0849ce0a73b1c4b8a2077a6505866915e2a0dc1d70503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001637.json b/manifests/batches/numina/001637.json
index 95ffb2e22d54435a58b6ced9157dbdec51686a0e..77388d1d764b745bdab36982e99b3f6fdda40821 100644
--- a/manifests/batches/numina/001637.json
+++ b/manifests/batches/numina/001637.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001637",
   "batch_fingerprint": "5fbde294e9b49b64823b3a59277e0a9e065cd7719f90fbb993756d0f0fafae00",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001637-0000-a8b23ece4a4a660a.parquet",
-      "sha256": "a8b23ece4a4a660a31184ac2336183841c4e0b54db698af1f4a9fc254595f385",
-      "bytes": 169126,
-      "rows": 19,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/numina-001637-0000-e138833035b68d1b.parquet",
-      "sha256": "e138833035b68d1bea353a2b55b71254952ba898e4ad403ebf40b7022af31b28",
-      "bytes": 119132,
-      "rows": 5,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5328b332-a67b-5cc1-b00d-513a3d792e7e",
     "numina:606263d6-1eb6-52bb-b391-136444693c17",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008187.lean\",\"abfa786fe7b590ae820513050eca728fe2c5de210bcfca555a51add977960592\",0,\"number_theory_4637\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008188.lean\",\"82a051fbaea11fec704f4e77bcfbf4cdabbf7cc2bbe450278588dd03374cd95a\",0,\"algebra_10264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008189.lean\",\"e93c531c2c9ddb0134ea6d9298a9fef54d2302531848067e4f540059daf82134\",0,\"Inequalities_288589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169126,
+      "path": "data/train/pab/numina-001637-0000-a8b23ece4a4a660a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a8b23ece4a4a660a31184ac2336183841c4e0b54db698af1f4a9fc254595f385"
+    },
+    {
+      "bytes": 119132,
+      "path": "data/internal_test/pab/numina-001637-0000-e138833035b68d1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e138833035b68d1bea353a2b55b71254952ba898e4ad403ebf40b7022af31b28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001638.json b/manifests/batches/numina/001638.json
index 13533a233d4539703da0135aa70c1ba93e4772b3..e16d7804cf4c66bec4840b50983121ab2042980d 100644
--- a/manifests/batches/numina/001638.json
+++ b/manifests/batches/numina/001638.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001638",
   "batch_fingerprint": "f83c668e7054aae01cb913c37ce6a2f2491b8a677481d9736d620806cfee1ea6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001638-0000-0dabd8c4ada6d1b5.parquet",
-      "sha256": "0dabd8c4ada6d1b515c38b35c5b2b1f1412dd6d257d988609c57aa82bee3bc26",
-      "bytes": 119987,
-      "rows": 15,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/numina-001638-0000-2082dc95b5018a37.parquet",
-      "sha256": "2082dc95b5018a379d6a5ddd1eb9e808fa2da2c6bbe6b1b65646675dbc73d82b",
-      "bytes": 44027,
-      "rows": 7,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:873d18a3-79f2-5942-be59-bf0cc35e1643",
     "numina:993b7ef0-e80c-58ef-a348-a5cf0216b8bd",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008192.lean\",\"fb151e454113ddcbe2a9c1c9beff4aa2c36b9c5ee10de1c475d81e4ecdcf7132\",1,\"algebra_104872'\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008193.lean\",\"cc9dad5b4930fbfdd61f6f6782031348a7ab10821c3c2c5a43ab3f9654e6db6b\",0,\"number_theory_4703\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008194.lean\",\"b1189a940e8ac87977700c77e4440ff6003c6125d3ee04f485a0a3b0a3a0e651\",0,\"algebra_132072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119987,
+      "path": "data/train/p43/numina-001638-0000-0dabd8c4ada6d1b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0dabd8c4ada6d1b515c38b35c5b2b1f1412dd6d257d988609c57aa82bee3bc26"
+    },
+    {
+      "bytes": 44027,
+      "path": "data/internal_test/p43/numina-001638-0000-2082dc95b5018a37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2082dc95b5018a379d6a5ddd1eb9e808fa2da2c6bbe6b1b65646675dbc73d82b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001639.json b/manifests/batches/numina/001639.json
index 826e21ec2ca57ddadda15bf3ff311d7351fa6895..b36d0b0af4fa0bd740be4a31cad5244cf32ea91d 100644
--- a/manifests/batches/numina/001639.json
+++ b/manifests/batches/numina/001639.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001639",
   "batch_fingerprint": "1b8de6f6ecf9c8e42348ce7eab8e3598a6b9b75f516f30d024d8ec3bc6134dc7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001639-0000-37e29292542ba100.parquet",
-      "sha256": "37e29292542ba100994ac7d36b6573d58144a5ae013207ac330175935ff9a078",
-      "bytes": 191072,
-      "rows": 19,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    },
-    {
-      "path": "data/internal_test/numina-001639-0000-5c10de00bfeb9dc4.parquet",
-      "sha256": "5c10de00bfeb9dc46cd117554edbe8e6eb9b8408c7ff071107c037467acc72f1",
-      "bytes": 77906,
-      "rows": 14,
-      "revision": "fc49ae0e4fe5737bf4bdb6aa58d2518b6704b5f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41087634-473a-5eb4-9b81-40b82e64467d",
     "numina:589e666d-f937-59d6-bcf1-60cc3869514d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008197.lean\",\"7978dcf9139e9ea02fb154debc9bde63935811e6d44b1e76aaf25d9b3df79ac7\",0,\"number_theory_600011\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008198.lean\",\"712faf418e392fda559c9d8593f53a94adaf1828703b45f549a8023f500c5033\",0,\"algebra_108556\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008199.lean\",\"eb9190b881781b2a74003b06b9ff078979d526efc31a3bfc9139523c36a08f17\",3,\"number_theory_4709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191072,
+      "path": "data/train/p55/numina-001639-0000-37e29292542ba100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "37e29292542ba100994ac7d36b6573d58144a5ae013207ac330175935ff9a078"
+    },
+    {
+      "bytes": 77906,
+      "path": "data/internal_test/p55/numina-001639-0000-5c10de00bfeb9dc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5c10de00bfeb9dc46cd117554edbe8e6eb9b8408c7ff071107c037467acc72f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001640.json b/manifests/batches/numina/001640.json
index 65695d6fcb690334df2f59b650a22fdfb43ad72f..99cf0279f3a8e67fb586d577a985b99a3658e618 100644
--- a/manifests/batches/numina/001640.json
+++ b/manifests/batches/numina/001640.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001640",
   "batch_fingerprint": "0fcc98e0ff9f194af83e7b69afdf2221d8dca86e4fae7c50063dc6d9afb23e4f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001640-0000-7f297eef9d7fc887.parquet",
-      "sha256": "7f297eef9d7fc8876f0e89046f3d886f093c6f013536f499ba6f6a54a96419b4",
-      "bytes": 168335,
-      "rows": 10,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/numina-001640-0000-4dd1ff415d78b53d.parquet",
-      "sha256": "4dd1ff415d78b53d5993b642a7bbc18d0c74ccc33aebda9bba4e693a14cc8022",
-      "bytes": 43686,
-      "rows": 3,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/numina-001640-0000-fba3947287312e53.parquet",
-      "sha256": "fba3947287312e5390083aa3bba2a8fd90ecda4e1f9a3b6e4eb14d3f2490ea84",
-      "bytes": 179089,
-      "rows": 27,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1849fe1f-409c-59b4-adaf-74b2717fe70c",
     "numina:9ac7c899-d910-5163-b8ae-052120bbfa9e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008202.lean\",\"17a2678d802a6a176b9b6747329cdd2473cdfd6bc2deac026ea813de4a096592\",0,\"number_theory_610694\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008204.lean\",\"41b784a003fa2b7eda4d4c0200f44b8a67db223cb183874fc2c03064671548cf\",0,\"inequalities_293739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168335,
+      "path": "data/train/p37/numina-001640-0000-7f297eef9d7fc887.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7f297eef9d7fc8876f0e89046f3d886f093c6f013536f499ba6f6a54a96419b4"
+    },
+    {
+      "bytes": 43686,
+      "path": "data/dev/p37/numina-001640-0000-4dd1ff415d78b53d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4dd1ff415d78b53d5993b642a7bbc18d0c74ccc33aebda9bba4e693a14cc8022"
+    },
+    {
+      "bytes": 179089,
+      "path": "data/internal_test/p37/numina-001640-0000-fba3947287312e53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "fba3947287312e5390083aa3bba2a8fd90ecda4e1f9a3b6e4eb14d3f2490ea84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001641.json b/manifests/batches/numina/001641.json
index 6b3e76083efd86be58dd7686a885932412d7ef0a..0c895174e78578450ac94aef513bfff9a5cc3cb5 100644
--- a/manifests/batches/numina/001641.json
+++ b/manifests/batches/numina/001641.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001641",
   "batch_fingerprint": "2909696f7effbd53f39ca378079dbc2d3817eaa0ffd24eb6708cdb51dcb75e6a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001641-0000-ce2338021495e272.parquet",
-      "sha256": "ce2338021495e272ad8f9028e97ef78907f3937c8d70ba0da4b517eb24a3a9ed",
-      "bytes": 186000,
-      "rows": 27,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:478e3f29-ccc6-5375-8f58-2a4cee9874a0",
     "numina:572727d8-9c14-55fd-89cc-acde412dfab5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008207.lean\",\"4ccaa7a2be211a924c500e3733bbc098e701ea69a58fbcaf320c6f320af3b12e\",0,\"algebra_247723\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008208.lean\",\"6839c0756439eba186e3b5a275f2f4b4edd9aec5f4fa6542f06e404e4c5d98c8\",0,\"number_theory_205203\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008209.lean\",\"c432c03186fb0ec65eecb739a6f2b9120faf3d3f6b524bfaa71d68a92788154e\",0,\"number_theory_4712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186000,
+      "path": "data/train/pca/numina-001641-0000-ce2338021495e272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ce2338021495e272ad8f9028e97ef78907f3937c8d70ba0da4b517eb24a3a9ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001642.json b/manifests/batches/numina/001642.json
index 6e7d410662b13d0ec4738a7ee811d333432b7d80..0181e98be266e604daf84f77ce92addb1eb63e56 100644
--- a/manifests/batches/numina/001642.json
+++ b/manifests/batches/numina/001642.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001642",
   "batch_fingerprint": "83c9f651a2d42fff42e6b8cf4dc61c58bcfd9f0fb15476cc6c49f1367006fe2f",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001642-0000-6ebc2877ab7ea12e.parquet",
-      "sha256": "6ebc2877ab7ea12ef3b41d00e80625f4e89119f08ad4efe0430785890606250b",
-      "bytes": 203172,
-      "rows": 12,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/dev/numina-001642-0000-3522902fe69efbaf.parquet",
-      "sha256": "3522902fe69efbaf1139448d53a6ce114a67ba59e1ea08a480155d9ec2469f03",
-      "bytes": 49407,
-      "rows": 4,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/numina-001642-0000-6652eb853921c569.parquet",
-      "sha256": "6652eb853921c5696c20d1d6cd32d4c59406f09b7c7cec05ee5b6f67f1985dd5",
-      "bytes": 546929,
-      "rows": 11,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:ae24c4fa-60b6-57b1-a6ac-b18e3c74e74a",
     "numina:bdb4b45b-0ccb-5966-92e2-0d8a26851a1a",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008212.lean\",\"ceb74643d99c2679ecd8a58670223977f5f58681143f5909dd08fe9d8c9aec3a\",0,\"algebra_219403\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008213.lean\",\"09bd4cc066aba50edfaebd6081690c2d2cf9aba45c4c6586f1f824b783a115aa\",0,\"algebra_21158\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008214.lean\",\"0172751dacc29f9feb9ed6086956d6ea92df101631ff98789430fc0439089850\",0,\"imo_23769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203172,
+      "path": "data/train/p1b/numina-001642-0000-6ebc2877ab7ea12e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6ebc2877ab7ea12ef3b41d00e80625f4e89119f08ad4efe0430785890606250b"
+    },
+    {
+      "bytes": 49407,
+      "path": "data/dev/p1b/numina-001642-0000-3522902fe69efbaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3522902fe69efbaf1139448d53a6ce114a67ba59e1ea08a480155d9ec2469f03"
+    },
+    {
+      "bytes": 546929,
+      "path": "data/internal_test/p1b/numina-001642-0000-6652eb853921c569.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6652eb853921c5696c20d1d6cd32d4c59406f09b7c7cec05ee5b6f67f1985dd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001643.json b/manifests/batches/numina/001643.json
index 9efaa7a1a3abca62bb6a0f5c1f50a3712568fed6..0d300881bc3e8a57a109da32a90fc0774a06ad5d 100644
--- a/manifests/batches/numina/001643.json
+++ b/manifests/batches/numina/001643.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001643",
   "batch_fingerprint": "d307976f3ddab51a99f2d24b3c8e9e94d6042d4325bdfc9e4d44776650d5c778",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001643-0000-a147778047072be5.parquet",
-      "sha256": "a147778047072be5a9b1ec5fb05ade130e658de95870c99fc1618055c8ddf93c",
-      "bytes": 461007,
-      "rows": 27,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/numina-001643-0000-edaec306739631b7.parquet",
-      "sha256": "edaec306739631b762b031b0050cc6e9c997162d365b7bbbce823abab1394995",
-      "bytes": 185733,
-      "rows": 11,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1346ff89-4849-5ce2-947e-3746d4b14acb",
     "numina:9f81affd-19ab-5062-8e8b-0c10a86a2441",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008217.lean\",\"a009b9b8c57642403cd3bb4ca4c6ec3bac669b150d350e8cd9e45d55ede6c2f3\",0,\"algebra_216065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008218.lean\",\"7401c908ecb64bf771f14f0aabc9361729bfd787d933e85d09a25c65d4976665\",0,\"algebra_138682\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008219.lean\",\"6af4eca4d59d4eb6c88b0d48bce6b427ceb0e40ce2984a71329c66542e05aaa5\",0,\"Number_Theory_609613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461007,
+      "path": "data/train/p49/numina-001643-0000-a147778047072be5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "a147778047072be5a9b1ec5fb05ade130e658de95870c99fc1618055c8ddf93c"
+    },
+    {
+      "bytes": 185733,
+      "path": "data/internal_test/p49/numina-001643-0000-edaec306739631b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "edaec306739631b762b031b0050cc6e9c997162d365b7bbbce823abab1394995"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001644.json b/manifests/batches/numina/001644.json
index 41f9a629f2db391943d1cd515b79e0ff66771f97..969c5ef5b41bfc6af507a1b18bc6a8e58e5459e7 100644
--- a/manifests/batches/numina/001644.json
+++ b/manifests/batches/numina/001644.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001644",
   "batch_fingerprint": "347c4ae0480cb8caab3bf62d5a89ecba1b1c19366ca5ff5c99f1881ed8410858",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001644-0000-720926672557e880.parquet",
-      "sha256": "720926672557e88024f3b598b690f85e4919d79c0a6ed981a351f827856f2649",
-      "bytes": 619312,
-      "rows": 68,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/train/numina-001644-0001-efb11b9f4104521b.parquet",
-      "sha256": "efb11b9f4104521b34cd9058bbd4659d15ce7204a2b4183b0851209d9838e62f",
-      "bytes": 209207,
-      "rows": 6,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11ff4653-df64-58a9-a738-7e6d68cf93e9",
     "numina:49476125-d023-5cf1-8d3f-0f58db971cc0",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008222.lean\",\"56bb08ca6b70d77702b233d76c553e950527a304d5530756ddaa642fa627877a\",0,\"algebra_9397\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008223.lean\",\"411900805499f6655d654fd0cb3194747ac80c1710fc05e80bba8c828983a5a3\",0,\"algebra_20979\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008224.lean\",\"2f0c2a456ed58002b4ee07384b29b3eecd3a01f2d48b046265cd378a7d3b9f3a\",0,\"algebra_14102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619312,
+      "path": "data/train/p9b/numina-001644-0000-720926672557e880.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "720926672557e88024f3b598b690f85e4919d79c0a6ed981a351f827856f2649"
+    },
+    {
+      "bytes": 209207,
+      "path": "data/train/p9b/numina-001644-0001-efb11b9f4104521b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "efb11b9f4104521b34cd9058bbd4659d15ce7204a2b4183b0851209d9838e62f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001645.json b/manifests/batches/numina/001645.json
index 1649c7367c9eb58c24ce358f6676b15436986380..724ddacd506d41d423492027558121244eb027fa 100644
--- a/manifests/batches/numina/001645.json
+++ b/manifests/batches/numina/001645.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001645",
   "batch_fingerprint": "ae8b2e482da12b817124a34a34080daad3cfd80ad925b38c911768e5dd716acd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001645-0000-d88b131736cff241.parquet",
-      "sha256": "d88b131736cff2412f8872d4f72e75bfe7fb71922db7b92efdaf5d84f91ee45a",
-      "bytes": 91564,
-      "rows": 6,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/internal_test/numina-001645-0000-23c88376771106bc.parquet",
-      "sha256": "23c88376771106bcf6c75932eb840e32e5400bae106ab5e5d7b9545f9ababb9f",
-      "bytes": 174183,
-      "rows": 12,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:43d40622-558e-54a1-9267-d1c170f2514b",
     "numina:4c655b55-a37a-59f0-9a1e-3e2c620e6ac9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008227.lean\",\"76e99d540b742ee2ce03bf1dea2b8405c18ecd69c1cccffd4b3b9656dae9b16e\",0,\"algebra_216249\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008228.lean\",\"c4a11fda6e8e379eb6653aec29e3c0da245e1c563bb89cf5eac464aa232838b3\",0,\"inequalities_110766\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008229.lean\",\"376ecc5d641f49bac56ab4797c68a90b6ce42ed39785cb01f71e1d36b6719a45\",0,\"algebra_239211\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91564,
+      "path": "data/train/p87/numina-001645-0000-d88b131736cff241.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d88b131736cff2412f8872d4f72e75bfe7fb71922db7b92efdaf5d84f91ee45a"
+    },
+    {
+      "bytes": 174183,
+      "path": "data/internal_test/p87/numina-001645-0000-23c88376771106bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "23c88376771106bcf6c75932eb840e32e5400bae106ab5e5d7b9545f9ababb9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001646.json b/manifests/batches/numina/001646.json
index ff058cf6835a65ab240c0d9c161d7e228a60136f..352286ef05106aeed9b3979ccf3a6093c177f9b4 100644
--- a/manifests/batches/numina/001646.json
+++ b/manifests/batches/numina/001646.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001646",
   "batch_fingerprint": "72019a9dcd351f2062eb8d2a7273ea4dfc86ee69b42247e74a4137d75eb7b031",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001646-0000-be0aac087612071c.parquet",
-      "sha256": "be0aac087612071c438dad1253b1d309d92f33516ec9892b3d51c4b39a102a67",
-      "bytes": 453213,
-      "rows": 60,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/numina-001646-0000-9f7013c98745b463.parquet",
-      "sha256": "9f7013c98745b46353153ee91f416bd4f66c9989d461aa19d707e7614378a055",
-      "bytes": 60425,
-      "rows": 12,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10e275b0-4ce1-5851-b184-8dec8ad693c3",
     "numina:394974f3-f515-58d7-86ed-afac04819841",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008232.lean\",\"7adc3a98fd7283118ab07a563d3704d1ebec04da4497b975e7c2def01941d510\",0,\"algebra_13575\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008233.lean\",\"5f03ca3114c15d8b30cedbd7b328dd240d427225cbaf3d57440635af8b571f15\",0,\"number_theory_149607\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008234.lean\",\"8adb6e20ab8390c0e2d34f0f86a76ce271b3ad4aea2f36735272b57725f797bd\",0,\"inequalities_23789\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 453213,
+      "path": "data/train/p30/numina-001646-0000-be0aac087612071c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 60,
+      "sha256": "be0aac087612071c438dad1253b1d309d92f33516ec9892b3d51c4b39a102a67"
+    },
+    {
+      "bytes": 60425,
+      "path": "data/internal_test/p30/numina-001646-0000-9f7013c98745b463.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9f7013c98745b46353153ee91f416bd4f66c9989d461aa19d707e7614378a055"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001647.json b/manifests/batches/numina/001647.json
index 2a882baffc5d56dfcdc2bdb35d25989626dd49b5..f6f59c19e6e27b7a86b22400c71a39697df2bf1c 100644
--- a/manifests/batches/numina/001647.json
+++ b/manifests/batches/numina/001647.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001647",
   "batch_fingerprint": "122154f05b123533a81bf6c6ac55746b842c620a2a8d0f745cf9d8840bce22ce",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001647-0000-7e030002619b8cc5.parquet",
-      "sha256": "7e030002619b8cc523c6d10e176584f3531b461348fa7e7ae26e1d3e06b0b79d",
-      "bytes": 402732,
-      "rows": 20,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:585f2765-2b24-5c0a-bbae-ebeeed6c1a07",
     "numina:705a22a2-1b75-59ef-940c-24e5ecd33f33",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008237.lean\",\"51a851f9fd3678b861d0c99ff5dfcb977045cd9b8c709857a919b0fc3ed04e2d\",0,\"inequalities_244444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008238.lean\",\"b45cf058f47c075afb2d5a7bc1b48c2aae319473e17d7cc73f6bbf63aa4b058d\",0,\"number_theory_36509\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008239.lean\",\"364df19fcaa5d0e80ff33e1cce77c5aa348a6c9ebaf53b2807d661821537252f\",0,\"algebra_110851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402732,
+      "path": "data/train/pfd/numina-001647-0000-7e030002619b8cc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7e030002619b8cc523c6d10e176584f3531b461348fa7e7ae26e1d3e06b0b79d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001648.json b/manifests/batches/numina/001648.json
index f4a83cb5c334f4cc3db8e3e4224a18864d4e84b1..54ebd9406788eda6deed62ec7246f4431ef8149a 100644
--- a/manifests/batches/numina/001648.json
+++ b/manifests/batches/numina/001648.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001648",
   "batch_fingerprint": "131d0825690061b3a5f5f244ad34f800dd2473030ece84b1de81e7ce5d556198",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001648-0000-1c94a3bc50484778.parquet",
-      "sha256": "1c94a3bc5048477863ba07193029347298da4fdc430859678eca24ed5c3889a5",
-      "bytes": 213480,
-      "rows": 25,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    },
-    {
-      "path": "data/internal_test/numina-001648-0000-6631566ef1b155a0.parquet",
-      "sha256": "6631566ef1b155a0147a24c3e1d796efc96d5b3bb466ff6a7f17fc7facecb081",
-      "bytes": 113973,
-      "rows": 3,
-      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16b89c57-152d-50fe-b1b8-b13416be5ab3",
     "numina:9a211190-bf18-5d9d-b035-2b656a7eebcc",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008242.lean\",\"2913b1478531b6d55e4be8edfff162570ad158a09e95f6eb60fc6ba6472857d4\",0,\"algebra_13576\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008243.lean\",\"66d5873a5abf985bbe99554756fd2cc9e8b9c85e868c5789ab666d1a5bd807a9\",0,\"algebra_23542\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008244.lean\",\"7de8e9c299aac9540989c7b697a606506852ec27fd354775c5f20c96e2ffdf7a\",0,\"algebra_605845\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213480,
+      "path": "data/train/pf9/numina-001648-0000-1c94a3bc50484778.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1c94a3bc5048477863ba07193029347298da4fdc430859678eca24ed5c3889a5"
+    },
+    {
+      "bytes": 113973,
+      "path": "data/internal_test/pf9/numina-001648-0000-6631566ef1b155a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6631566ef1b155a0147a24c3e1d796efc96d5b3bb466ff6a7f17fc7facecb081"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001649.json b/manifests/batches/numina/001649.json
index 8b2719fff702c09eadf281953f6179e175a574bf..b8f140fadd324b09a699d7a50c5e114e79f7f0ca 100644
--- a/manifests/batches/numina/001649.json
+++ b/manifests/batches/numina/001649.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001649",
   "batch_fingerprint": "591c9bf8b358332d6f1e8ebcebf698c7b36a0735ba0345d0fa35ae935849ac58",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001649-0000-c66f613b5ef1534d.parquet",
-      "sha256": "c66f613b5ef1534da1ea700a310eb9f3f74a5dda27df5ad2fa5d438cf518d927",
-      "bytes": 542677,
-      "rows": 47,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/train/numina-001649-0001-2cebfd3a05a22e5a.parquet",
-      "sha256": "2cebfd3a05a22e5ae3d4c50e331f8a2f12fb735dbe979f5f694638acfffa7a8a",
-      "bytes": 618293,
-      "rows": 9,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    },
-    {
-      "path": "data/train/numina-001649-0002-cc9d74f08e04ba1b.parquet",
-      "sha256": "cc9d74f08e04ba1b0cbc58561db32e5cd5d7d871d1b78894ec04c639b6c4d5d7",
-      "bytes": 190613,
-      "rows": 4,
-      "revision": "feb29e5e3a552acaf295150cbf59955d41f682da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a5bb813-bd69-5b07-b4d5-c0eda8079df7",
     "numina:c8410060-69de-53a6-a441-c2edc2c8b418",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008247.lean\",\"86b45f3da2c73b5134cbf0d23bfe639760df97210f35242f6d2df78c4dd3c6cd\",0,\"calculus_142171\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008248.lean\",\"fe93bd2bb6393964bd80fa66bc787108b51e94585e5c5957efdd9c61994238da\",0,\"algebra_239305\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008249.lean\",\"b70202c2d24a16282fd7e8032753746ec6f482c51e6a2ba710efd2eb7cb50a26\",1,\"algebra_328194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 542677,
+      "path": "data/train/pdd/numina-001649-0000-c66f613b5ef1534d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "c66f613b5ef1534da1ea700a310eb9f3f74a5dda27df5ad2fa5d438cf518d927"
+    },
+    {
+      "bytes": 618293,
+      "path": "data/train/pdd/numina-001649-0001-2cebfd3a05a22e5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2cebfd3a05a22e5ae3d4c50e331f8a2f12fb735dbe979f5f694638acfffa7a8a"
+    },
+    {
+      "bytes": 190613,
+      "path": "data/train/pdd/numina-001649-0002-cc9d74f08e04ba1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cc9d74f08e04ba1b0cbc58561db32e5cd5d7d871d1b78894ec04c639b6c4d5d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001650.json b/manifests/batches/numina/001650.json
index 833b08745975a5564e8c2eb104ad8b79e0cef16f..ac03d5d9fa19c7c575d97ddbfcc936c80cec8af8 100644
--- a/manifests/batches/numina/001650.json
+++ b/manifests/batches/numina/001650.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001650",
   "batch_fingerprint": "7b20cf1fcd2442cd9ca6e05796174a4106679a074f5ec41442bee66a533af3e5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001650-0000-b6a2b72eb2105434.parquet",
-      "sha256": "b6a2b72eb210543444b82e7cc24f9753d393833a9949d2e291ae6a127bea24a1",
-      "bytes": 350835,
-      "rows": 30,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0518d62e-9710-5e99-b0a6-6231e9e7be3a",
     "numina:3cfe23e8-b8cf-5e54-b6c7-dac2fd67c4cb",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008252.lean\",\"5c8ffc10d886f3dc851356dbbe0e1e6b3a43dca9dc7f5e641a8a6d76746e6678\",0,\"algebra_146482\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008253.lean\",\"9348a42974a52aa4efd905309307b7c19183b79a994b60ea722ee21fb365b79b\",0,\"algebra_14112\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008254.lean\",\"8fa7da93dc3bc82b0b0177fc53575d2f80d746d0987a58dccb857580e7c6c004\",0,\"Number_Theory_609424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350835,
+      "path": "data/train/p8f/numina-001650-0000-b6a2b72eb2105434.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "b6a2b72eb210543444b82e7cc24f9753d393833a9949d2e291ae6a127bea24a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001651.json b/manifests/batches/numina/001651.json
index 5970d7f1c88e45d32759e345123dec2f66f34f85..4f2af988800f9c8c3c8691934bd500ff340ab1c8 100644
--- a/manifests/batches/numina/001651.json
+++ b/manifests/batches/numina/001651.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001651",
   "batch_fingerprint": "da289b4ef25131e1f8be120f947a041bd6c8b8e833f38fb153b826772611f8d0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001651-0000-78ef69eb6f8b266c.parquet",
-      "sha256": "78ef69eb6f8b266ca702c285e32df9808ce503a08a36130670eec3c92a6dbb5a",
-      "bytes": 388144,
-      "rows": 40,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/numina-001651-0000-879614295c01d30e.parquet",
-      "sha256": "879614295c01d30e39018f37a154b219192881ace67a88a54f6ce8d73ee0c713",
-      "bytes": 422398,
-      "rows": 3,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:52b469f2-4a67-5419-bf97-40a98505f426",
     "numina:7e648189-f63f-5fdb-8f35-cf7f1bdc8563",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008257.lean\",\"dc0cc9daac22373efb7daf963755cb81e95bb2a4ae5838a2e067ab87f4457d2e\",0,\"number_theory_239316\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008258.lean\",\"80f10d8338aad44de8cb68f17e568fbb502cfb7c724d171723b607c7b23a446a\",0,\"algebra_304700\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008259.lean\",\"bd89550f1949518d981b7a96e30465372614bf44aba0aad6b6f29c94a327f891\",0,\"algebra_1207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388144,
+      "path": "data/train/p50/numina-001651-0000-78ef69eb6f8b266c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "78ef69eb6f8b266ca702c285e32df9808ce503a08a36130670eec3c92a6dbb5a"
+    },
+    {
+      "bytes": 422398,
+      "path": "data/dev/p50/numina-001651-0000-879614295c01d30e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "879614295c01d30e39018f37a154b219192881ace67a88a54f6ce8d73ee0c713"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001652.json b/manifests/batches/numina/001652.json
index ace8affe85e72a3f147c7eb69db1b86ccceb7d29..197dfa92e79ce84e7be09596dce2c8cdc79ec4ac 100644
--- a/manifests/batches/numina/001652.json
+++ b/manifests/batches/numina/001652.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001652",
   "batch_fingerprint": "ecac0fd4ea3caccb36f7fe00627f67f9c45e12bd4b86e6aefeab80f4a7681a08",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001652-0000-fecafffd25cf19cc.parquet",
-      "sha256": "fecafffd25cf19cca4c6e0df1fef1316c93001ceb08b10099c28603cd6e89018",
-      "bytes": 452615,
-      "rows": 25,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/train/numina-001652-0001-7390141412bc77b7.parquet",
-      "sha256": "7390141412bc77b76a2c1a78741565fa67977e95f09edbfb37284cf9145b40b4",
-      "bytes": 161300,
-      "rows": 8,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/numina-001652-0000-1e6a8e2c9af418d8.parquet",
-      "sha256": "1e6a8e2c9af418d8b9935cd2336618302a13db2444fbd6b925f544f52e70ec58",
-      "bytes": 56580,
-      "rows": 14,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71c6455e-747e-5406-9364-7c92ca6f922e",
     "numina:7ed24a55-cc87-52b0-acda-0444b959cf60",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008262.lean\",\"4dc87d8a47d579094fde38fdd4dff96e6c298b2ae0da2270227a51216f49e8ef\",0,\"algebra_604844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008263.lean\",\"0bc66f01008680b3b20cc2584eadabe2148439c024ac9dad700337f66de21ed7\",0,\"number_theory_22692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008264.lean\",\"8ed47eca522b70e9b8be891e7f00437d934216b95a9e9952ee9e915b7447241b\",0,\"algebra_142304\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 452615,
+      "path": "data/train/p5e/numina-001652-0000-fecafffd25cf19cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "fecafffd25cf19cca4c6e0df1fef1316c93001ceb08b10099c28603cd6e89018"
+    },
+    {
+      "bytes": 161300,
+      "path": "data/train/p5e/numina-001652-0001-7390141412bc77b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7390141412bc77b76a2c1a78741565fa67977e95f09edbfb37284cf9145b40b4"
+    },
+    {
+      "bytes": 56580,
+      "path": "data/dev/p5e/numina-001652-0000-1e6a8e2c9af418d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1e6a8e2c9af418d8b9935cd2336618302a13db2444fbd6b925f544f52e70ec58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001653.json b/manifests/batches/numina/001653.json
index c01b81fbf1c2d3020a0d602d876c515d69cf6efe..0357e243a68ccd81b9807145a17ee7b61571cdeb 100644
--- a/manifests/batches/numina/001653.json
+++ b/manifests/batches/numina/001653.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001653",
   "batch_fingerprint": "d33ecc3cff5f6e5c17cc70c5c5c30b918f2a60c7ea5e3243bb88895d774bb08f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001653-0000-fe08bef915b0d4d1.parquet",
-      "sha256": "fe08bef915b0d4d12b20a6e3cb6d6cb0081f611344bda7881385598996d4c6ec",
-      "bytes": 81073,
-      "rows": 24,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/internal_test/numina-001653-0000-0e462564906c89ac.parquet",
-      "sha256": "0e462564906c89acaed650c18510a713922af1501574476a29500063364b6934",
-      "bytes": 23763,
-      "rows": 1,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:275c45ec-2d55-50f9-a9ac-0e8cf79e09f1",
     "numina:527c772b-1a9d-5b5f-b126-3f734c0fca8d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008267.lean\",\"ae2fe06b4f823336524ed6ca1719c57c94ba16f6eea4e7015562a2697892bf57\",3,\"number_theory_4525\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008268.lean\",\"40b68b505de895b3881abd45d26f5cdadcafa73d2c3fbc59ad79aec9aa68d3a2\",0,\"algebra_305460\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008269.lean\",\"1a67fdfc20505e7df6236dfaf1c4094e1f2aa5cdd7ca73f1efe29b574cd5ba34\",0,\"algebra_20936\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81073,
+      "path": "data/train/p64/numina-001653-0000-fe08bef915b0d4d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fe08bef915b0d4d12b20a6e3cb6d6cb0081f611344bda7881385598996d4c6ec"
+    },
+    {
+      "bytes": 23763,
+      "path": "data/internal_test/p64/numina-001653-0000-0e462564906c89ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0e462564906c89acaed650c18510a713922af1501574476a29500063364b6934"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001654.json b/manifests/batches/numina/001654.json
index ddb400df9f1a5888bd73f63a88ee463663452457..c087df4d8a092a375a9776e81666512be6d86259 100644
--- a/manifests/batches/numina/001654.json
+++ b/manifests/batches/numina/001654.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001654",
   "batch_fingerprint": "dc8cbf1d7d4b0cbd055f183dd1cbd6df19e760947f35349f7f38b9817c827207",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001654-0000-b9b7aafc98139451.parquet",
-      "sha256": "b9b7aafc981394519d0fb32b8bee87ce9f522be446c1df02933beb1a7157ea65",
-      "bytes": 294555,
-      "rows": 25,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24d3c557-13e0-5cc1-8772-8510c5ad0f7b",
     "numina:46e55748-06c2-50fd-9732-0f55a908faaa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008272.lean\",\"bfc941ea8f3cfb76dbf948e773be840059013ae9d763b1a12c2155e9972a2ee5\",0,\"algebra_18746\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008273.lean\",\"7e951544fcbb262d8adaeedc0dbf422b50500d4c671710ab2b599fcc213ff281\",0,\"number_theory_605058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008274.lean\",\"db6e77a20363e930dc27d23a0831ff7c7aa47b449beb1feafc6cf8e019fb95a4\",0,\"number_theory_22695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294555,
+      "path": "data/train/p2b/numina-001654-0000-b9b7aafc98139451.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b9b7aafc981394519d0fb32b8bee87ce9f522be446c1df02933beb1a7157ea65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001655.json b/manifests/batches/numina/001655.json
index 44969225c26ef2b715771a5fb2fc9ba476c68acd..05f40537014c3e4b62521140a11ea735df2bd1ad 100644
--- a/manifests/batches/numina/001655.json
+++ b/manifests/batches/numina/001655.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001655",
   "batch_fingerprint": "8c46669281637fdb4c64766e4f273de6bc0bbc49bb530679094fd1d7fff2e9e1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001655-0000-8162c6eb6f958666.parquet",
-      "sha256": "8162c6eb6f958666b2fa8ce1cb80469d582261207f760f7a290bc7abdb51585c",
-      "bytes": 355710,
-      "rows": 18,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/numina-001655-0000-7abbfa98c7c422db.parquet",
-      "sha256": "7abbfa98c7c422db135397f38ae21183e73b7b6ac307c716270be2ef5e8dd8aa",
-      "bytes": 139353,
-      "rows": 5,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:328b2df6-f3f6-5389-9ae0-47d07aab9748",
     "numina:4a3785bb-7c4e-5dd5-b1d0-ef33174eb36a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008277.lean\",\"bca0e3105528ac92e29098ad470fdb617b6ce49397da1f16395effdcc8b2fd11\",0,\"number_theory_605061\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008278.lean\",\"ed9f892861ef7e094f37f251945831f8cfa6cd9c42394eac9fdd6bd01d79867b\",0,\"number_theory_272814\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008279.lean\",\"9678d9073544c6e0c323054afbd60c811ad766edd98d2629b90cd42549ae9dee\",0,\"number_theory_22698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355710,
+      "path": "data/train/p62/numina-001655-0000-8162c6eb6f958666.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8162c6eb6f958666b2fa8ce1cb80469d582261207f760f7a290bc7abdb51585c"
+    },
+    {
+      "bytes": 139353,
+      "path": "data/dev/p62/numina-001655-0000-7abbfa98c7c422db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7abbfa98c7c422db135397f38ae21183e73b7b6ac307c716270be2ef5e8dd8aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001656.json b/manifests/batches/numina/001656.json
index a9b17c7210d01583fdc5113aa5904f6541384540..ff5f107eb7d3583b2b79a60fe49126a0ae07eff7 100644
--- a/manifests/batches/numina/001656.json
+++ b/manifests/batches/numina/001656.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001656",
   "batch_fingerprint": "82b4397199ad3e6921d66265996c02a214693f8cb851880f32f7b08dcd5edf7a",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001656-0000-0e76bcd4522f531c.parquet",
-      "sha256": "0e76bcd4522f531c30bbd3500e8a5a66126a6ef6421d4fa681e8758d6c2ddb6b",
-      "bytes": 186161,
-      "rows": 17,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3663eb3a-8388-506c-b0d9-92638596d288",
     "numina:b535e6de-f9c4-5e0e-88ad-6aa8d825a69e",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008281.lean\",\"e9da7eec9d859ef47b638521a8de75b3a82ab278609fce3754f35be1249fe8b4\",0,\"inequalities_290058\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008283.lean\",\"9341341a81f7d09f8bc44274570a35b5bd510a2b178e25ac8b0e18e42b882c3a\",0,\"algebra_11135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008284.lean\",\"02b38d5a14bc10e4f4997259e6a5343a15e8f8704e97e945e0d6e5b7651b9c42\",0,\"number_theory_136392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186161,
+      "path": "data/train/pf2/numina-001656-0000-0e76bcd4522f531c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "0e76bcd4522f531c30bbd3500e8a5a66126a6ef6421d4fa681e8758d6c2ddb6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001657.json b/manifests/batches/numina/001657.json
index b39adf334bb5b96325b69f4386396008b00a72af..bb480bb4c5d52ccef5d8040b627461a92fcf7112 100644
--- a/manifests/batches/numina/001657.json
+++ b/manifests/batches/numina/001657.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001657",
   "batch_fingerprint": "0c1bdbe784c65f4a9f2dd1f58755fdbfa7394fbd3abfeb2a62019a5554d2138c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001657-0000-100b0496e8b289aa.parquet",
-      "sha256": "100b0496e8b289aa787ed56907dad4dd7ce2b62fdb08223d3ae0016f095b2cf3",
-      "bytes": 396540,
-      "rows": 53,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/train/numina-001657-0001-9096c22b2c313a53.parquet",
-      "sha256": "9096c22b2c313a5320118d806696c165f896048aa0eda04a43f20e8af195d3d8",
-      "bytes": 393460,
-      "rows": 73,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/train/numina-001657-0002-b1103ea890890e04.parquet",
-      "sha256": "b1103ea890890e04726de214bb025782be154356ebcdcad41c8e8c06507bb0ad",
-      "bytes": 336359,
-      "rows": 70,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3090a705-ad8c-5c9a-86d1-266382124bf2",
     "numina:5ccbdde8-ddd0-50c1-a4df-5ef6a967cb17",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008287.lean\",\"6bfab2a2cc6e2801b5cb2f95b7cf65440582da766df412da88364388688fc237\",0,\"algebra_177177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008288.lean\",\"4cb0e2ccca5c770fa26249a79d076593862b8e877f4c58141c6f1385724738cf\",0,\"number_theory_284735\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008289.lean\",\"d39fe2e86195b512100c2914ee868b2ea88669231318cf8a51fbc7ad3c3f1bd2\",0,\"calculus_15686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396540,
+      "path": "data/train/p1b/numina-001657-0000-100b0496e8b289aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "100b0496e8b289aa787ed56907dad4dd7ce2b62fdb08223d3ae0016f095b2cf3"
+    },
+    {
+      "bytes": 393460,
+      "path": "data/train/p1b/numina-001657-0001-9096c22b2c313a53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 73,
+      "sha256": "9096c22b2c313a5320118d806696c165f896048aa0eda04a43f20e8af195d3d8"
+    },
+    {
+      "bytes": 336359,
+      "path": "data/train/p1b/numina-001657-0002-b1103ea890890e04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 70,
+      "sha256": "b1103ea890890e04726de214bb025782be154356ebcdcad41c8e8c06507bb0ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001658.json b/manifests/batches/numina/001658.json
index 8bc1666a2f05e46e457bfe5390cae56abed1a5c5..26820c68a49314fd3dc7d9418a8ca4c3c80deea4 100644
--- a/manifests/batches/numina/001658.json
+++ b/manifests/batches/numina/001658.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001658",
   "batch_fingerprint": "9191bbb29d3b856d034ec8643e02d19bc498d11f09a556a0a4b03c970ff99b5b",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:04dea9e8-c069-5d3c-b69c-cd1bd30dbc61",
+    "numina:143fe397-9a01-54e1-9d78-9eeff6491147",
+    "numina:771a6379-11d8-5799-ae5b-68692c193742",
+    "numina:9a64ef28-c393-5de8-8f2c-1a929fdae483",
+    "numina:e59fe251-9afa-5980-bd66-2253077f4a15"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008290.lean\",\"f0a9fef70337e21619eff97d2978e1a28c6545ce03ff84e8de00771d73d65378\",0,\"number_theory_22704\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008291.lean\",\"322d1f5a86e87c68b3b32af56edab5e994c83adc268e9bace98717cadb498405\",0,\"number_theory_96003\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008292.lean\",\"0c22b84c686c286e6d919cf0512aee91e6e2f526e318c391efeaccdfaec63cfa\",0,\"number_theory_25071\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008293.lean\",\"2cf03607f8c2fe9c2288cbdfa0659afb183d24f50b5575919486e8bdff45bbe9\",0,\"number_theory_609561\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008294.lean\",\"ff170f23c3fc41362e5eb282c4f2b6d60e09c53fdbd57672124d975ea92b6ae9\",0,\"inequalities_284761\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001658-0000-ea8eec2d70a9c2bc.parquet",
-      "sha256": "ea8eec2d70a9c2bcfe4fb373ba866915f00d77db23bd38ce7979c47d641cee3d",
       "bytes": 337252,
+      "path": "data/train/p56/numina-001658-0000-ea8eec2d70a9c2bc.parquet",
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+      "path": "data/train/p56/numina-001658-0001-c941b0399c0f0093.parquet",
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-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
+      "sha256": "c941b0399c0f0093f6c0758eb59b0c7e2820cab04c19b06c4f7f1c75df24f87a"
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     {
-      "path": "data/train/numina-001658-0002-de2d63e6c782ea32.parquet",
-      "sha256": "de2d63e6c782ea323795586acae1641ff4e369fabb9182198d206cc97c7a3f1f",
       "bytes": 533183,
+      "path": "data/train/p56/numina-001658-0002-de2d63e6c782ea32.parquet",
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       "rows": 15,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
+      "sha256": "de2d63e6c782ea323795586acae1641ff4e369fabb9182198d206cc97c7a3f1f"
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     {
-      "path": "data/train/numina-001658-0003-10e3930e7cee9785.parquet",
-      "sha256": "10e3930e7cee9785769fddcc3efc91008485d4b28e7c5d3683cd687b336c3cea",
       "bytes": 80380,
+      "path": "data/train/p56/numina-001658-0003-10e3930e7cee9785.parquet",
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       "rows": 11,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
+      "sha256": "10e3930e7cee9785769fddcc3efc91008485d4b28e7c5d3683cd687b336c3cea"
     },
     {
-      "path": "data/internal_test/numina-001658-0000-af8101ffefc70b9c.parquet",
-      "sha256": "af8101ffefc70b9ca60ef64b5b586ca0b126897f4d3da745949d0ee7b473fd32",
       "bytes": 85023,
+      "path": "data/internal_test/p56/numina-001658-0000-af8101ffefc70b9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "31cdc9ad9510b22f0156822210be08be25cf77e2"
+      "sha256": "af8101ffefc70b9ca60ef64b5b586ca0b126897f4d3da745949d0ee7b473fd32"
     }
-  ],
-  "proof_ids": [
-    "numina:04dea9e8-c069-5d3c-b69c-cd1bd30dbc61",
-    "numina:143fe397-9a01-54e1-9d78-9eeff6491147",
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-    "numina:9a64ef28-c393-5de8-8f2c-1a929fdae483",
-    "numina:e59fe251-9afa-5980-bd66-2253077f4a15"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008290.lean\",\"f0a9fef70337e21619eff97d2978e1a28c6545ce03ff84e8de00771d73d65378\",0,\"number_theory_22704\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008291.lean\",\"322d1f5a86e87c68b3b32af56edab5e994c83adc268e9bace98717cadb498405\",0,\"number_theory_96003\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008292.lean\",\"0c22b84c686c286e6d919cf0512aee91e6e2f526e318c391efeaccdfaec63cfa\",0,\"number_theory_25071\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008293.lean\",\"2cf03607f8c2fe9c2288cbdfa0659afb183d24f50b5575919486e8bdff45bbe9\",0,\"number_theory_609561\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008294.lean\",\"ff170f23c3fc41362e5eb282c4f2b6d60e09c53fdbd57672124d975ea92b6ae9\",0,\"inequalities_284761\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001659.json b/manifests/batches/numina/001659.json
index 94faac20efe02d9c8c3c95a422eec0f839d0c49d..5eb8c991fab47932ac780cadbfc3efb10f6eb2ea 100644
--- a/manifests/batches/numina/001659.json
+++ b/manifests/batches/numina/001659.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001659",
   "batch_fingerprint": "96df48661513b222db50961db545e14dfb824d8d43e1b289f5f5f0c2ac1c8216",
   "evidence": {
@@ -51,22 +50,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001659-0000-24132671f1f3dca9.parquet",
-      "sha256": "24132671f1f3dca9447fee45d1121ed523086ecfb67f175117625272f7a85cae",
-      "bytes": 209063,
-      "rows": 12,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/internal_test/numina-001659-0000-70f4cfdbb346e791.parquet",
-      "sha256": "70f4cfdbb346e7910bed618e896c2eaf884ffa2b1b93a2bd94e81aa92c8eae90",
-      "bytes": 76949,
-      "rows": 7,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:89d0874d-b242-5b6d-9ebe-e1cd22103a74",
     "numina:a25858ff-a5b5-557f-a402-93471de7f916",
@@ -78,5 +62,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008296.lean\",\"49c886d3a39459940e134fa389e9537c06899acef994958ea651871f4fe3f376\",0,\"algebra_20492\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008298.lean\",\"d692bc70a07d7c52f0d9e8de7acf251495bdb1bde7f97ce5c94204364fb00a50\",0,\"inequalities_69410\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008299.lean\",\"69e0316d8e00758d5f968c3269a6e256c4cc5e49d894db31457a40b0f06b3878\",0,\"algebra_38102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209063,
+      "path": "data/train/p04/numina-001659-0000-24132671f1f3dca9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "24132671f1f3dca9447fee45d1121ed523086ecfb67f175117625272f7a85cae"
+    },
+    {
+      "bytes": 76949,
+      "path": "data/internal_test/p04/numina-001659-0000-70f4cfdbb346e791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "70f4cfdbb346e7910bed618e896c2eaf884ffa2b1b93a2bd94e81aa92c8eae90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001660.json b/manifests/batches/numina/001660.json
index e85dd4324c86e762f39cc122d011ed97aeeda4bb..cf64f6f17fe24fe59e667d1c9f6c7296a520d72f 100644
--- a/manifests/batches/numina/001660.json
+++ b/manifests/batches/numina/001660.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001660",
   "batch_fingerprint": "803274ebdf8f8b8928b204fdd11da02c3b86c169c9e0120599eba9edc63137db",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001660-0000-b8ef7b91732aa39b.parquet",
-      "sha256": "b8ef7b91732aa39bd3fd551dca00d56cd60a9c829f55962739a774f21fc34950",
-      "bytes": 270271,
-      "rows": 19,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    },
-    {
-      "path": "data/dev/numina-001660-0000-6b133f7b352856f4.parquet",
-      "sha256": "6b133f7b352856f4dad1e92303e54e50d084fd5d30da2ba0eadfdad8aac3ad48",
-      "bytes": 91588,
-      "rows": 12,
-      "revision": "9931f7e263b644970d94314c5ccd8bc8f7920aee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03549d85-dd56-5fb4-a5c1-1994880cc169",
     "numina:73c9e803-4fb2-59bc-b269-c38119a8dbb7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008302.lean\",\"fd05898f0ce00a1c74730f8412e42280e0112767ccc582cccbddc8042ae74d82\",0,\"algebra_605307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008303.lean\",\"e941d9d64b5b4e8953d7532a7134f6f186100c9290078e91adbb501e62d0f848\",0,\"calculus_22849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008304.lean\",\"bf610b284a7c132dba510f4465d9a940ad383020a7a67fa5799b6768128c4fef\",0,\"number_theory_284885\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270271,
+      "path": "data/train/p5a/numina-001660-0000-b8ef7b91732aa39b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b8ef7b91732aa39bd3fd551dca00d56cd60a9c829f55962739a774f21fc34950"
+    },
+    {
+      "bytes": 91588,
+      "path": "data/dev/p5a/numina-001660-0000-6b133f7b352856f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6b133f7b352856f4dad1e92303e54e50d084fd5d30da2ba0eadfdad8aac3ad48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001661.json b/manifests/batches/numina/001661.json
index f1e3950979c881e1a71dcb179408b861f4c648bb..48e4fbd04945a62e90f43a8df465a5e70996a680 100644
--- a/manifests/batches/numina/001661.json
+++ b/manifests/batches/numina/001661.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001661",
   "batch_fingerprint": "d3d16028b164f74882772f613e60507a50ab630a598da433f4bace0d8bd2dd0d",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001661-0000-46b6318b9f3b5f96.parquet",
-      "sha256": "46b6318b9f3b5f96f42b106bb8f17ab46a1d3bba8ae43fa9896934dbfd43f0b1",
-      "bytes": 144167,
-      "rows": 20,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/numina-001661-0000-0f5820c1445a5483.parquet",
-      "sha256": "0f5820c1445a5483f0edf6380ac5d084e45686e7dc31766826301bdc9bb974b9",
-      "bytes": 154721,
-      "rows": 10,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a370647-3069-53d5-98a1-739dc5f16435",
     "numina:c68baeaa-ed47-57cf-9c18-6f1b67b9c208",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008307.lean\",\"090375a446b0774ce1307e9634246e34306b7040090e72ad0a43ea34baf1ab53\",0,\"algebra_150600\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008308.lean\",\"1b1ef5e6da81cdcb25af8bb12ffeecdaf9eefa7d39be063361cbd91d91520e4a\",0,\"algebra_95315\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008309.lean\",\"f61bc10dc984b9b97d52c9bd4b2e7a7a32fde86284b25bd1448418d78152ca63\",0,\"algebra_20001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144167,
+      "path": "data/train/p3a/numina-001661-0000-46b6318b9f3b5f96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "46b6318b9f3b5f96f42b106bb8f17ab46a1d3bba8ae43fa9896934dbfd43f0b1"
+    },
+    {
+      "bytes": 154721,
+      "path": "data/internal_test/p3a/numina-001661-0000-0f5820c1445a5483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0f5820c1445a5483f0edf6380ac5d084e45686e7dc31766826301bdc9bb974b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001662.json b/manifests/batches/numina/001662.json
index 5a0d3d7ce4fc9706631bb9c9a2fd8ae09d80c300..d66fa4b073f6e6907ac9d8dabc7abf9f5b4113bc 100644
--- a/manifests/batches/numina/001662.json
+++ b/manifests/batches/numina/001662.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001662",
   "batch_fingerprint": "7045fc7c023845e453fde09e23f5c1f4845ff6551b8631e3693efed610441273",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001662-0000-d3cc1a9794a5b6f6.parquet",
-      "sha256": "d3cc1a9794a5b6f6cd334da5a37331d97ca8f2f153f125206c53c7e521f07c46",
-      "bytes": 725647,
-      "rows": 46,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/train/numina-001662-0001-4fe5ee35e5d8406f.parquet",
-      "sha256": "4fe5ee35e5d8406f1991696b7fd752e3a8fe40c307c5dab3fc9ad2ec258b6a00",
-      "bytes": 373539,
-      "rows": 30,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/numina-001662-0000-01ebfb6cf96354ac.parquet",
-      "sha256": "01ebfb6cf96354ac23e553fa80de0963cee7468fc9804b8c6ce03099beeaab7b",
-      "bytes": 289249,
-      "rows": 13,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0860c63c-aa9f-5969-becc-6ba34682e872",
     "numina:2e1eccd9-e4a4-5773-9202-ebe4a0b7b3f9",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008312.lean\",\"74abd319fddcc81cd824bf3868bf211274256f97a491c838b1b2f1c36d9f3796\",0,\"other_65668\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008313.lean\",\"f8cda71ab8b4822243011dc533b97242a441e2d4ff902640fde5db79b350159e\",0,\"number_theory_600014\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008314.lean\",\"335b1e65efe087889fffd3435c55576bff32a5a606bcff74615c707ce9c587c4\",0,\"inequalities_150644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 725647,
+      "path": "data/train/pb1/numina-001662-0000-d3cc1a9794a5b6f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "d3cc1a9794a5b6f6cd334da5a37331d97ca8f2f153f125206c53c7e521f07c46"
+    },
+    {
+      "bytes": 373539,
+      "path": "data/train/pb1/numina-001662-0001-4fe5ee35e5d8406f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4fe5ee35e5d8406f1991696b7fd752e3a8fe40c307c5dab3fc9ad2ec258b6a00"
+    },
+    {
+      "bytes": 289249,
+      "path": "data/internal_test/pb1/numina-001662-0000-01ebfb6cf96354ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "01ebfb6cf96354ac23e553fa80de0963cee7468fc9804b8c6ce03099beeaab7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001663.json b/manifests/batches/numina/001663.json
index 57fe29f559d4e7a6053f38cf8487ce70d461bd39..e40ca47a70e87e0d4123c9e82cc3df83aa924aba 100644
--- a/manifests/batches/numina/001663.json
+++ b/manifests/batches/numina/001663.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001663",
   "batch_fingerprint": "4ce192b6fa209372a5e6a2419b6046e8fdbcb4d4adac8949032ec708ba5362d4",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001663-0000-f381916e6c9d76a6.parquet",
-      "sha256": "f381916e6c9d76a64d6cb56204329f9c339e191a8a926c6347082f1bc281b2cd",
-      "bytes": 262025,
-      "rows": 11,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/numina-001663-0000-c332cb37e9a0b346.parquet",
-      "sha256": "c332cb37e9a0b346abe71c85f1012e864a9d0494af80f5e99c829c32b88d5ae0",
-      "bytes": 76424,
-      "rows": 14,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:91140f24-7247-50e6-8948-1861567a7915",
     "numina:adae591a-49c4-587f-98e9-9dd371d5ee53",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008317.lean\",\"c4fcfd67b29bba71afc79d458b2db8ee691e367645a7798d4cc8aa6fa1640bc4\",0,\"number_theory_197142\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008318.lean\",\"830f9c9fd255452c203c64f1e9cfc1783d55aaed632de47a7485098c3f8f704d\",0,\"number_theory_22874\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008319.lean\",\"b71d909d7532dbc4cb5d7f1f58518c2f9b418acf05df724a6a140e0da269ffc7\",0,\"number_theory_284965\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262025,
+      "path": "data/train/pdd/numina-001663-0000-f381916e6c9d76a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f381916e6c9d76a64d6cb56204329f9c339e191a8a926c6347082f1bc281b2cd"
+    },
+    {
+      "bytes": 76424,
+      "path": "data/dev/pdd/numina-001663-0000-c332cb37e9a0b346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c332cb37e9a0b346abe71c85f1012e864a9d0494af80f5e99c829c32b88d5ae0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001664.json b/manifests/batches/numina/001664.json
index 621785b8a3e3d5e144d4fd586bfc1c7e180b856d..fa8cea2d13ce6a8d630a8bee47234f43ea7769bd 100644
--- a/manifests/batches/numina/001664.json
+++ b/manifests/batches/numina/001664.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001664",
   "batch_fingerprint": "55104bcdc9a777e3b5d6457ff922b56ed5a4629f59f7cdcee39209396c29276b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001664-0000-05dd8467cf3128c5.parquet",
-      "sha256": "05dd8467cf3128c5b52649166a5e10ca6147db7671a40bd8c555d02ec05259fe",
-      "bytes": 369510,
-      "rows": 36,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04b63981-7320-569f-961f-96f555d2bfbe",
     "numina:1ed1a045-250b-5ed2-b4f2-ea6274389f10",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008322.lean\",\"3c1c439585c8114a17f7dfd9b7209b6033b0e91453d362ed0f916eb778a51d8d\",0,\"number_theory_220047\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008323.lean\",\"254dbe8c7ce20ff58ee990e18d85de51166f4487330901641f84a552973d2f21\",0,\"algebra_275744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008324.lean\",\"92c49ec38437c36f42e620df228dab93cb413e4642903ad36f72902f46fde3d5\",0,\"algebra_133641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369510,
+      "path": "data/train/p3f/numina-001664-0000-05dd8467cf3128c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "05dd8467cf3128c5b52649166a5e10ca6147db7671a40bd8c555d02ec05259fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001665.json b/manifests/batches/numina/001665.json
index c4e6ada621f530458bceb0baa7426af42156fc60..6fc98af825b3dc8c1bcff04503b95aade0377f1d 100644
--- a/manifests/batches/numina/001665.json
+++ b/manifests/batches/numina/001665.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001665",
   "batch_fingerprint": "19f23b077693907092faf23c43dc413ef9349b07a4ac5ff9fe213892598b660d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001665-0000-6a7e0d3942c02940.parquet",
-      "sha256": "6a7e0d3942c0294008b4249ad6a2cfe7014c9d1e62ab4ae7da065f8e73b37efe",
-      "bytes": 620706,
-      "rows": 30,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/numina-001665-0000-cca7f786a58bff0d.parquet",
-      "sha256": "cca7f786a58bff0d9cd5e84182f89645fc7f63841d4e78ff859d4237f2e9ad2d",
-      "bytes": 186174,
-      "rows": 25,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4d34bb72-7629-52d7-a264-501a314969ae",
     "numina:72e5b7a8-44c1-5f82-9bda-37f4ac392d7f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008327.lean\",\"f2256c20f398f8f1dac3d215e3fbe38a2b88ed2beb7b97b3532ec641f41551ef\",0,\"AMC_94355\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008328.lean\",\"5037353637c755e37f4d3bac8d6d30af4922e0e800ca083decd56f358092fb6c\",0,\"algebra_220110\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008329.lean\",\"2531ea21416b9116d19461848697fff6722fcabaa86df23950373746714c1e35\",0,\"number_theory_178374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 620706,
+      "path": "data/train/pda/numina-001665-0000-6a7e0d3942c02940.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "6a7e0d3942c0294008b4249ad6a2cfe7014c9d1e62ab4ae7da065f8e73b37efe"
+    },
+    {
+      "bytes": 186174,
+      "path": "data/internal_test/pda/numina-001665-0000-cca7f786a58bff0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cca7f786a58bff0d9cd5e84182f89645fc7f63841d4e78ff859d4237f2e9ad2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001666.json b/manifests/batches/numina/001666.json
index 2e854fe6752df74979ace51558b9073d3a490da7..ff90ac140c9ad72f5407d8ac63b72568963efe8c 100644
--- a/manifests/batches/numina/001666.json
+++ b/manifests/batches/numina/001666.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001666",
   "batch_fingerprint": "c880cceb6d3763fd9226bef141adaff3bc7f6f5032c4f44f3f41f570ff5d4d04",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001666-0000-5af611aebcb13f05.parquet",
-      "sha256": "5af611aebcb13f059713571c5b862d8d793273e381ab01f697ab9b6972f1b865",
-      "bytes": 323723,
-      "rows": 41,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/internal_test/numina-001666-0000-d003a41b29e23e7a.parquet",
-      "sha256": "d003a41b29e23e7aa7cc40953e6343ca183dc704161ea3a67a8be6ade7e139c8",
-      "bytes": 72491,
-      "rows": 9,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:08a1283b-c8e8-5b06-a46c-d309d0cfc4df",
     "numina:6fdee12b-747b-5921-9369-9d3295ca9222",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008332.lean\",\"545edd5e4e95976112f22c16ca9c701f3abfecc404b491b4773bce8e75364ae4\",0,\"number_theory_13190\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008333.lean\",\"21d9bf7c2e99c0ac6626fc01dd67897edd6fed5c4d7844e59cc61da36c3a3045\",0,\"algebra_10803\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008334.lean\",\"ca24307cc1fa50ab8a72b37670b62705457f25580877ea8c7ab56fdc0213f625\",0,\"algebra_14147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323723,
+      "path": "data/train/p81/numina-001666-0000-5af611aebcb13f05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "5af611aebcb13f059713571c5b862d8d793273e381ab01f697ab9b6972f1b865"
+    },
+    {
+      "bytes": 72491,
+      "path": "data/internal_test/p81/numina-001666-0000-d003a41b29e23e7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d003a41b29e23e7aa7cc40953e6343ca183dc704161ea3a67a8be6ade7e139c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001667.json b/manifests/batches/numina/001667.json
index 252c8840005f2492f791a98c6778fa2a0ddb8d13..eb47720b30f0573a898d13634da2a8a4b3d093fa 100644
--- a/manifests/batches/numina/001667.json
+++ b/manifests/batches/numina/001667.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001667",
   "batch_fingerprint": "b2abb9738d0bb8da5517df622efb109781d681e2fd703a5ea413527f41126f07",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001667-0000-9441b8481b00a486.parquet",
-      "sha256": "9441b8481b00a4867251f376b1c7dcf3feb5948bfd2276d6904ab44e62e6ab44",
-      "bytes": 315679,
-      "rows": 32,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/train/numina-001667-0001-57d7f77e7693dcb5.parquet",
-      "sha256": "57d7f77e7693dcb54cda8157224fbb97147caad99d39586752874c6968c0c316",
-      "bytes": 702776,
-      "rows": 1,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    },
-    {
-      "path": "data/dev/numina-001667-0000-f28df1a4aa017279.parquet",
-      "sha256": "f28df1a4aa017279c069828ebcc544e80f8515bfeab351d780ca6e0059fc9e08",
-      "bytes": 256862,
-      "rows": 17,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0493582a-e390-5333-af2c-0f55efffc9d1",
     "numina:7fb7270f-6277-5842-86dd-08d331a246eb",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008337.lean\",\"59e318af892cacedecd246181e5b6f068c79aa04b9e0a5a3f68a653d3dd7b458\",0,\"algebra_233817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008338.lean\",\"a84fb988160debc1bd3b2d4e0ad272d089f3bc56384073fdea5dee27dedbafb1\",0,\"inequalities_133965\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008339.lean\",\"1260cfdb38482324f0da6b4d1b15780b1014e20a8c9bfc50d7d47eae8726f887\",0,\"number_theory_609062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315679,
+      "path": "data/train/p6c/numina-001667-0000-9441b8481b00a486.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "9441b8481b00a4867251f376b1c7dcf3feb5948bfd2276d6904ab44e62e6ab44"
+    },
+    {
+      "bytes": 702776,
+      "path": "data/train/p6c/numina-001667-0001-57d7f77e7693dcb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "57d7f77e7693dcb54cda8157224fbb97147caad99d39586752874c6968c0c316"
+    },
+    {
+      "bytes": 256862,
+      "path": "data/dev/p6c/numina-001667-0000-f28df1a4aa017279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f28df1a4aa017279c069828ebcc544e80f8515bfeab351d780ca6e0059fc9e08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001668.json b/manifests/batches/numina/001668.json
index 769d252d67e12758e11a8709d6f6ac81591b6cd9..e7e73ca1d18b2e3010934d62c2a26477efecee18 100644
--- a/manifests/batches/numina/001668.json
+++ b/manifests/batches/numina/001668.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001668",
   "batch_fingerprint": "ca5d204f0751034a06eaa664bff565c53cc652c856bbcb2d6d66808b0afc311c",
   "evidence": {
@@ -50,39 +49,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1ca8a702-a942-5361-8e54-5fd6145eb252",
+    "numina:6ff35de1-e8a5-5972-b181-6d35a25df3df",
+    "numina:ae9ff2a1-3478-5948-b926-e07c014a5581",
+    "numina:e75d6d47-80fc-5ea0-8eea-2fd3fa6fb591"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008340.lean\",\"3e99a1464ff2556465cd8ac51c0239cab136eae561b40e3513892dee0091b578\",0,\"algebra_25803\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008342.lean\",\"df15fa84c1265fca2dd9059d2090b75692fc837ab9af2db7fc0ae962d022aaee\",0,\"inequalities_23620\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008343.lean\",\"73d9ed7c7e4a5ad9b1e22ba661810036acc1b09497c54d34d5dac02dc5c49b03\",0,\"algebra_282633\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008344.lean\",\"8638fa7424e61bd5285d899185957149c67247f07e81bbccc59e3315a46c59e1\",0,\"algebra_10341\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001668-0000-4e4368e8e82958fb.parquet",
-      "sha256": "4e4368e8e82958fb69fb866e3bc607254930fb00b47f2d8d55e82cd87d30696f",
       "bytes": 249616,
+      "path": "data/train/pd6/numina-001668-0000-4e4368e8e82958fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
+      "sha256": "4e4368e8e82958fb69fb866e3bc607254930fb00b47f2d8d55e82cd87d30696f"
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     {
-      "path": "data/train/numina-001668-0001-d961aa99e7082633.parquet",
-      "sha256": "d961aa99e7082633c98e76d6dd4c01a786919888a05ae860e7b013d6f10e8a46",
       "bytes": 588944,
+      "path": "data/train/pd6/numina-001668-0001-d961aa99e7082633.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
+      "sha256": "d961aa99e7082633c98e76d6dd4c01a786919888a05ae860e7b013d6f10e8a46"
     },
     {
-      "path": "data/train/numina-001668-0002-15de2ee6ba808be9.parquet",
-      "sha256": "15de2ee6ba808be976a5342b9a2ef2f5ba71733b5dcf4c2fb2d653f188f35403",
       "bytes": 191001,
+      "path": "data/train/pd6/numina-001668-0002-15de2ee6ba808be9.parquet",
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       "rows": 14,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
+      "sha256": "15de2ee6ba808be976a5342b9a2ef2f5ba71733b5dcf4c2fb2d653f188f35403"
     }
-  ],
-  "proof_ids": [
-    "numina:1ca8a702-a942-5361-8e54-5fd6145eb252",
-    "numina:6ff35de1-e8a5-5972-b181-6d35a25df3df",
-    "numina:ae9ff2a1-3478-5948-b926-e07c014a5581",
-    "numina:e75d6d47-80fc-5ea0-8eea-2fd3fa6fb591"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008340.lean\",\"3e99a1464ff2556465cd8ac51c0239cab136eae561b40e3513892dee0091b578\",0,\"algebra_25803\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008342.lean\",\"df15fa84c1265fca2dd9059d2090b75692fc837ab9af2db7fc0ae962d022aaee\",0,\"inequalities_23620\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008343.lean\",\"73d9ed7c7e4a5ad9b1e22ba661810036acc1b09497c54d34d5dac02dc5c49b03\",0,\"algebra_282633\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008344.lean\",\"8638fa7424e61bd5285d899185957149c67247f07e81bbccc59e3315a46c59e1\",0,\"algebra_10341\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001669.json b/manifests/batches/numina/001669.json
index a3cccf0c3362c8cf254a5f1acfd4d24755c63d7d..07183595aa6889d4fc14a5c04ea9a575a2157279 100644
--- a/manifests/batches/numina/001669.json
+++ b/manifests/batches/numina/001669.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001669",
   "batch_fingerprint": "148edc9483fe4766ff9538d4f84489231e630c35dd9bba0cfd91d108e952917b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001669-0000-f8029f06ba3f4c87.parquet",
-      "sha256": "f8029f06ba3f4c8779d194d496ed4453ce4a7fcadb3f4c7ae244f6a9d88fe4f1",
-      "bytes": 473339,
-      "rows": 61,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:34bfd7db-c809-5abe-b619-cba6c94cf01c",
     "numina:4faa2bdc-049d-5f40-95af-6043d8870e5c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008347.lean\",\"42968549053b6f912593dee4644f12b9ef0cddaf7365138d64e3ea9741f4d505\",0,\"algebra_609545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008348.lean\",\"375f797606a948c69635ea803cdc91bb859ec7e479b7a659aad1663813fa356f\",0,\"algebra_153726\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008349.lean\",\"58bfd166e3f3b5b829a9272c3bc8a5c4790d4ad762343e68d1384bf8272d53c4\",0,\"algebra_605937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473339,
+      "path": "data/train/p5d/numina-001669-0000-f8029f06ba3f4c87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "f8029f06ba3f4c8779d194d496ed4453ce4a7fcadb3f4c7ae244f6a9d88fe4f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001670.json b/manifests/batches/numina/001670.json
index 085be98508c29555527477a5613c1aaf740ed8f8..bf149a67f3f3b6d62f4c5525253672b8061c25b1 100644
--- a/manifests/batches/numina/001670.json
+++ b/manifests/batches/numina/001670.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001670",
   "batch_fingerprint": "a6fb7073793f66046e85ad512240c20ecae1360b0f9651547f9e2a6a8b4f36c7",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001670-0000-82941050520f88d5.parquet",
-      "sha256": "82941050520f88d5e3f7604bd7790d6c3e7f9d5e1bb6df1ce7067934c1bf3d2f",
-      "bytes": 301423,
-      "rows": 9,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/train/numina-001670-0001-d20bc838254a7f20.parquet",
-      "sha256": "d20bc838254a7f20a55d69b65af52e4c3ea8652dc2db80c7d88bf7f089fac88d",
-      "bytes": 633118,
-      "rows": 54,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    },
-    {
-      "path": "data/internal_test/numina-001670-0000-b406292d3f4f3791.parquet",
-      "sha256": "b406292d3f4f3791169377931860aac277f262a88694bcabe80fdb8937afb9dc",
-      "bytes": 50909,
-      "rows": 4,
-      "revision": "65dc5467e26399fc566c73c0999624f03550668c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:31891b12-9141-5737-b0ad-a64892ca3ca5",
     "numina:5800ca26-aa50-580f-8e81-5a71f13ff458",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008352.lean\",\"74ac415c684f537a5b5b7dcae28986caad1d6595d3ab7a5cd756fc99dbdb1e97\",0,\"algebra_220264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008353.lean\",\"b120dda7a6d6bdf712a413cd524c9c4a870e25364ceeed77f08ad86f6036fd93\",0,\"algebra_235856\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008354.lean\",\"082316359705447c6e27b982558b515ea7001a75b191f9cc0e3e28e70fc8efdd\",0,\"algebra_19760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301423,
+      "path": "data/train/p47/numina-001670-0000-82941050520f88d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "82941050520f88d5e3f7604bd7790d6c3e7f9d5e1bb6df1ce7067934c1bf3d2f"
+    },
+    {
+      "bytes": 633118,
+      "path": "data/train/p47/numina-001670-0001-d20bc838254a7f20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "d20bc838254a7f20a55d69b65af52e4c3ea8652dc2db80c7d88bf7f089fac88d"
+    },
+    {
+      "bytes": 50909,
+      "path": "data/internal_test/p47/numina-001670-0000-b406292d3f4f3791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b406292d3f4f3791169377931860aac277f262a88694bcabe80fdb8937afb9dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001671.json b/manifests/batches/numina/001671.json
index 12da92ff59ca8c8e662257a9d5fbc0e10e92d747..8ee22cabcb92a503a16223ecd8b44b90a5c17fb7 100644
--- a/manifests/batches/numina/001671.json
+++ b/manifests/batches/numina/001671.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001671",
   "batch_fingerprint": "80dd7167549ceed8557ef7d45d7883a3eb12d01c5b03450a88c41cb2fdce2c38",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001671-0000-ae53f1cbd9f4d86b.parquet",
-      "sha256": "ae53f1cbd9f4d86b01ec7c99a713cbb541a621e50ca4e291f379c0c9d7f4f96d",
-      "bytes": 297821,
-      "rows": 27,
-      "revision": "2c624d749dc1d09d460770c1e0f525ce225b45c7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3e9bb475-cd34-5046-8131-b0aaab3a7403",
     "numina:5bd9cf34-ad48-579c-bb94-5faa8d36da2c",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008357.lean\",\"267dcb7cbc6e397852591139b695156b45f0525a145967a789be5cbc89ba25af\",0,\"algebra_291786\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008358.lean\",\"05800f97ce45993314874e4d86b7f809175479b23a3c2f098573e6fc71562d87\",0,\"algebra_1176\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008359.lean\",\"c63122ecdb621b9ed54ab65cbc1c0c017e4aca373ebf4fff2f495d7d4ce93a70\",0,\"inequalities_220275\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297821,
+      "path": "data/train/pa9/numina-001671-0000-ae53f1cbd9f4d86b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ae53f1cbd9f4d86b01ec7c99a713cbb541a621e50ca4e291f379c0c9d7f4f96d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001672.json b/manifests/batches/numina/001672.json
index ff9f1a7375b56c5cc421b72a760f98cc16faa95b..bf2c7b9dfadb45f957604abac34b8db76fe0fc72 100644
--- a/manifests/batches/numina/001672.json
+++ b/manifests/batches/numina/001672.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001672",
   "batch_fingerprint": "05ed159a1a2240228e70c23be2c4f20e660cc7a5c97cc00616c88d29136258cf",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001672-0000-ab3c2abcc7b54ce4.parquet",
-      "sha256": "ab3c2abcc7b54ce4c5deda8450932021bb57c8007ef351d3d81d9868abf6ac44",
-      "bytes": 181455,
-      "rows": 30,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16cdf305-dd6c-5af7-b756-9973b3c32b6e",
     "numina:39bdbaef-4654-504c-8d97-06824497c772",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008362.lean\",\"83faed69dc649fe78ac110d745a58e5707ef4323ffc2c755431f4f2a4d8a8477\",0,\"algebra_10333\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008363.lean\",\"a682aee1a14ad22b59c71e5b25cb094791140226af067abe7a2ecb797bd9d99d\",0,\"algebra_253106\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008364.lean\",\"3d7840b44bfb61808d890df0e524df5730001b03c4d6a34180d4525e1ced9ced\",0,\"algebra_8985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181455,
+      "path": "data/train/pb6/numina-001672-0000-ab3c2abcc7b54ce4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ab3c2abcc7b54ce4c5deda8450932021bb57c8007ef351d3d81d9868abf6ac44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001673.json b/manifests/batches/numina/001673.json
index 6f9682e4cc246e3a2c2275f0af6ea50fed23b7f2..6ad35dc6b4e884203e0c60582df1e8182cde96fe 100644
--- a/manifests/batches/numina/001673.json
+++ b/manifests/batches/numina/001673.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001673",
   "batch_fingerprint": "da231c4275d59ac68ca0445b9d68a2323e82001a9b1899e742b9f5e2f05981c1",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001673-0000-86c0527fb98728a8.parquet",
-      "sha256": "86c0527fb98728a81606ef40f68ee87133d76e2d3cad8fe060b191b198d32175",
-      "bytes": 507371,
-      "rows": 50,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f62d825-ba13-5701-bb59-a013a6bc82dd",
     "numina:6450c8f3-c247-5fb6-8680-d7d138a1929d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008367.lean\",\"e6f2b7cfd09f121cba2cab4a46da0a7be37c556e06968ef1d0aa3fd83ef5788c\",0,\"algebra_43233\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008368.lean\",\"ae5fb16866aece7220ddd2a057b09eed0792b9ccdb048e353026fe5ced6f5e80\",0,\"algebra_240748\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008369.lean\",\"e135a2c4adbe85bc8f85e4379947ce0d9d2b8e56ed0adff8c741717d96e03fd4\",0,\"algebra_148894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 507371,
+      "path": "data/train/p57/numina-001673-0000-86c0527fb98728a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "86c0527fb98728a81606ef40f68ee87133d76e2d3cad8fe060b191b198d32175"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001674.json b/manifests/batches/numina/001674.json
index 71981823976d13c231b34355724223480d1cdb86..492b540dfc19f92a7b28639559efaa9dbd777294 100644
--- a/manifests/batches/numina/001674.json
+++ b/manifests/batches/numina/001674.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001674",
   "batch_fingerprint": "80935df83ba5396aa21f47a7d411420155ff6aef3464d2990f198efe56274d47",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001674-0000-06670e1c8f96abae.parquet",
-      "sha256": "06670e1c8f96abaec69e4812a47c472a956d957d646a758b5ce1d9a193f5cbf1",
-      "bytes": 600788,
-      "rows": 41,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1210f871-fcc3-5ec6-aebe-4a77897fe648",
     "numina:aeeb5cb4-38bc-599e-a790-f8c1f15f4c33",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008372.lean\",\"199b21b84ffbb6213658736e25a8a634dc0825a468dab146659316ee62e16eae\",0,\"number_theory_97969\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008373.lean\",\"35dec9480088d29cc6f5148538cf5dc79bcce61d9c9137bcc910e4d045556c95\",0,\"number_theory_610623\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008374.lean\",\"f8e304a7a902c3a83448202b2016f44f368ccfd4e23c6f190e056938f34f1fa5\",0,\"number_theory_226154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 600788,
+      "path": "data/train/p80/numina-001674-0000-06670e1c8f96abae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "06670e1c8f96abaec69e4812a47c472a956d957d646a758b5ce1d9a193f5cbf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001675.json b/manifests/batches/numina/001675.json
index b865fdd35966a43c99956f44518539980e05a17a..6b748497b75f9f1fb0d68894ff66d1e99ce44213 100644
--- a/manifests/batches/numina/001675.json
+++ b/manifests/batches/numina/001675.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001675",
   "batch_fingerprint": "dcd19d7de4e1ee68691fb9386691ffe0317b12affc37eaf35324e2f4787bc603",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001675-0000-fc10824d02ad7450.parquet",
-      "sha256": "fc10824d02ad7450c852dd0d9c07cd8edb962c7c2761830d156350a93e21bdbb",
-      "bytes": 249379,
-      "rows": 24,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/numina-001675-0000-ef32ac441ed8ffaf.parquet",
-      "sha256": "ef32ac441ed8ffafbfe068117c38eb366c35d0eea0069c5f8f065ed27566fd36",
-      "bytes": 47588,
-      "rows": 7,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13a00691-6cb4-56ae-a28f-6136795340eb",
     "numina:1acafd44-81cd-5337-b1c3-89ced17151bb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008377.lean\",\"9068c767c06eaabbb661608741891d0d693e5f47644b1382891a03e7366dabc3\",0,\"algebra_19768\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008378.lean\",\"2175f3802fe62724728ba8f7f1889d659568a63e75b65646e0219d2ed51201e1\",0,\"algebra_604692\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008379.lean\",\"42dc3b3ab29167fa448544510d37f08ae10f1ba6533123132d83e97f15519ec0\",0,\"algebra_8987\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249379,
+      "path": "data/train/p16/numina-001675-0000-fc10824d02ad7450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fc10824d02ad7450c852dd0d9c07cd8edb962c7c2761830d156350a93e21bdbb"
+    },
+    {
+      "bytes": 47588,
+      "path": "data/internal_test/p16/numina-001675-0000-ef32ac441ed8ffaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ef32ac441ed8ffafbfe068117c38eb366c35d0eea0069c5f8f065ed27566fd36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001676.json b/manifests/batches/numina/001676.json
index 25dc222d3bfda7ed05f97e692d0f34759ddd65b2..609b8e281f363b2b3e73d036274edde1e00c28dc 100644
--- a/manifests/batches/numina/001676.json
+++ b/manifests/batches/numina/001676.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001676",
   "batch_fingerprint": "0357429bec50e0ec630a31c603a88f8b450ca390e9a1a6a416aff5b81270b66f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001676-0000-cdd8690b214037ab.parquet",
-      "sha256": "cdd8690b214037ab51c240b2d5b24125fc5d03046e977b857c6fde63b6ae2659",
-      "bytes": 119053,
-      "rows": 26,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/numina-001676-0000-f494766a3eedae37.parquet",
-      "sha256": "f494766a3eedae379635369f49cd95958272b7ae7ceba3c17f7bdd94f92e8de8",
-      "bytes": 429630,
-      "rows": 24,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3757881d-e225-54f7-9424-89037d3df6ef",
     "numina:90004f80-462f-5120-82a8-0c79377d999e",
@@ -47,5 +31,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 119053,
+      "path": "data/train/p42/numina-001676-0000-cdd8690b214037ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "cdd8690b214037ab51c240b2d5b24125fc5d03046e977b857c6fde63b6ae2659"
+    },
+    {
+      "bytes": 429630,
+      "path": "data/internal_test/p42/numina-001676-0000-f494766a3eedae37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f494766a3eedae379635369f49cd95958272b7ae7ceba3c17f7bdd94f92e8de8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001677.json b/manifests/batches/numina/001677.json
index 4e0a293ce5e2c29c98c1376f9c26083a1e2d6d8d..660c393325f6f9dfe976cf518f13b5529cdc2de4 100644
--- a/manifests/batches/numina/001677.json
+++ b/manifests/batches/numina/001677.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001677",
   "batch_fingerprint": "132efa1209ec24ec3d612fb72c67bcbaba371d5f2ae8d989c1190aa816072fc2",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001677-0000-cf15bd43973c8f4c.parquet",
-      "sha256": "cf15bd43973c8f4c0e11415f918468a561b0f78a9cd84ed733a5234054106c29",
-      "bytes": 109044,
-      "rows": 24,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0a983018-2923-5c8a-a869-241d65609018",
     "numina:953d5f07-c8f5-566d-a90c-6d8cd8d095c7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008387.lean\",\"57ceff675715a1fd62d648a59008983929492b2776fa446fd466f16f7137a5a6\",0,\"number_theory_163425\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008388.lean\",\"6869ad4dbcdf5cf4d6c744b65a6ce9afa423bcaf5057c8d9480e4ae725732d4b\",0,\"inequalities_75015\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008389.lean\",\"047ffc8ab4cdffa4ff1c6e42b1e89666bf096a91c6fd9ef8f3be78f663b66256\",0,\"number_theory_188680\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109044,
+      "path": "data/train/pf8/numina-001677-0000-cf15bd43973c8f4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cf15bd43973c8f4c0e11415f918468a561b0f78a9cd84ed733a5234054106c29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001678.json b/manifests/batches/numina/001678.json
index 43ba801ad3446e33d627eb4fec7f1af5cc53172e..15aa78b129fe537287617ee6d9e193797b83659a 100644
--- a/manifests/batches/numina/001678.json
+++ b/manifests/batches/numina/001678.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001678",
   "batch_fingerprint": "a64315d7dbc41ad44b5a0835fe57266e25e8094e188575cd3dbf9f71c3f88d04",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001678-0000-0358210a1908adab.parquet",
-      "sha256": "0358210a1908adab42d2e791fe907a366949b712a5b15b4a55a72350745d8c92",
-      "bytes": 212471,
-      "rows": 21,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/internal_test/numina-001678-0000-01eb7a5367738c35.parquet",
-      "sha256": "01eb7a5367738c35808d1f9b71f6a7a4897d221280067ed4a44bb9a5b639b106",
-      "bytes": 93500,
-      "rows": 12,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:014f63cf-247f-5feb-8902-a5f6b62da857",
     "numina:1fffe880-eeb3-52de-9568-a0b769109bfb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008392.lean\",\"ae0c76d20b1538fab0a68e91abf5a47d21c9ff537f0a5a89c2293a782c20c7c9\",0,\"number_theory_23036\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008393.lean\",\"1fc92d44f49d867cd7ed74cbf3678a5a63220668ba527e88546b2aff593b7fe2\",0,\"inequalities_137019\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008394.lean\",\"d14067314d5338e8f1dbab5b50bcd325cd0a7b0cff98b06efc731cc91d523829\",0,\"number_theory_608704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212471,
+      "path": "data/train/p2c/numina-001678-0000-0358210a1908adab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0358210a1908adab42d2e791fe907a366949b712a5b15b4a55a72350745d8c92"
+    },
+    {
+      "bytes": 93500,
+      "path": "data/internal_test/p2c/numina-001678-0000-01eb7a5367738c35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "01eb7a5367738c35808d1f9b71f6a7a4897d221280067ed4a44bb9a5b639b106"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001679.json b/manifests/batches/numina/001679.json
index 794c3ecc128875c1c873dff7d63f1d51645e72b6..50040442c318028568484eeb98b24cd77b6d1ec1 100644
--- a/manifests/batches/numina/001679.json
+++ b/manifests/batches/numina/001679.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001679",
   "batch_fingerprint": "b310a7305b04be2e559bf421452a4acb9406493a6a35ac5ced59f50766f8410f",
   "evidence": {
@@ -18,55 +17,56 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2e7265ee-1a5a-5ff4-a765-92cee3a8eb2a",
+    "numina:2eed9c45-ed39-51bb-858b-45bfd403d0a4",
+    "numina:65cdae60-2749-5000-8ff3-d6e88a3f6493",
+    "numina:f348c4d2-1b94-5b22-bf35-38dc90d7111b",
+    "numina:fb36f136-ec89-51ef-b5bd-31405db584c9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008395.lean\",\"2bf48c1d4176fc76eb582744538491e0bf2ed790c3ade33e549ae39562785f9e\",0,\"algebra_280554\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008396.lean\",\"b5ca62fdca1aa44805380cefcfc3c0c2aa32a60e017cc5ca64b761fd7de77d44\",0,\"algebra_110074\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008397.lean\",\"94c9018c054cb08269a0e5f9e49e2188fda4334c612acbf5e015b1a9325dc2b7\",0,\"inequalities_163453\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008398.lean\",\"9a99f6e64ebfd8dbf88b568874975e9a0ccfa94b22e4ac1e542fd7b289bfcd78\",0,\"number_theory_75043\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008399.lean\",\"73c09d0e3729bdbc61b36e3cc2e1698fab9a8dfcdaceb214e8b20dab204c12ed\",0,\"algebra_738\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001679-0000-0367ba4e7948c2d7.parquet",
-      "sha256": "0367ba4e7948c2d7ae0f72229084d781a6136e5bee66cc36c251eb9b5a506e9c",
       "bytes": 416182,
+      "path": "data/train/pdf/numina-001679-0000-0367ba4e7948c2d7.parquet",
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       "rows": 21,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
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-      "path": "data/train/numina-001679-0001-8f25b03e8b16daab.parquet",
-      "sha256": "8f25b03e8b16daabbbf11061caeeecc52f810bfb765cce5d604bfd7c1729f4b4",
       "bytes": 444763,
+      "path": "data/train/pdf/numina-001679-0001-8f25b03e8b16daab.parquet",
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-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
+      "sha256": "8f25b03e8b16daabbbf11061caeeecc52f810bfb765cce5d604bfd7c1729f4b4"
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     {
-      "path": "data/train/numina-001679-0002-5dd939b73ba528e0.parquet",
-      "sha256": "5dd939b73ba528e037d6239ffd619f049d5a5b2bdf6150dada609fa5860f52aa",
       "bytes": 407586,
+      "path": "data/train/pdf/numina-001679-0002-5dd939b73ba528e0.parquet",
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       "rows": 4,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
+      "sha256": "5dd939b73ba528e037d6239ffd619f049d5a5b2bdf6150dada609fa5860f52aa"
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     {
-      "path": "data/train/numina-001679-0003-c2132ad831003064.parquet",
-      "sha256": "c2132ad831003064157b73939028a7bcb13038821c9fa393aef966177ac73ec2",
       "bytes": 99818,
+      "path": "data/train/pdf/numina-001679-0003-c2132ad831003064.parquet",
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       "rows": 1,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
+      "sha256": "c2132ad831003064157b73939028a7bcb13038821c9fa393aef966177ac73ec2"
     },
     {
-      "path": "data/internal_test/numina-001679-0000-fa9e43f0f8c21d22.parquet",
-      "sha256": "fa9e43f0f8c21d224f5645649350256fcb30057d93b6ca7e9096b483f2ddf135",
       "bytes": 206990,
+      "path": "data/internal_test/pdf/numina-001679-0000-fa9e43f0f8c21d22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "74e588f978689868de4a511f1ab7d4f3f0064d82"
+      "sha256": "fa9e43f0f8c21d224f5645649350256fcb30057d93b6ca7e9096b483f2ddf135"
     }
-  ],
-  "proof_ids": [
-    "numina:2e7265ee-1a5a-5ff4-a765-92cee3a8eb2a",
-    "numina:2eed9c45-ed39-51bb-858b-45bfd403d0a4",
-    "numina:65cdae60-2749-5000-8ff3-d6e88a3f6493",
-    "numina:f348c4d2-1b94-5b22-bf35-38dc90d7111b",
-    "numina:fb36f136-ec89-51ef-b5bd-31405db584c9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008395.lean\",\"2bf48c1d4176fc76eb582744538491e0bf2ed790c3ade33e549ae39562785f9e\",0,\"algebra_280554\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008396.lean\",\"b5ca62fdca1aa44805380cefcfc3c0c2aa32a60e017cc5ca64b761fd7de77d44\",0,\"algebra_110074\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008397.lean\",\"94c9018c054cb08269a0e5f9e49e2188fda4334c612acbf5e015b1a9325dc2b7\",0,\"inequalities_163453\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008398.lean\",\"9a99f6e64ebfd8dbf88b568874975e9a0ccfa94b22e4ac1e542fd7b289bfcd78\",0,\"number_theory_75043\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008399.lean\",\"73c09d0e3729bdbc61b36e3cc2e1698fab9a8dfcdaceb214e8b20dab204c12ed\",0,\"algebra_738\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001680.json b/manifests/batches/numina/001680.json
index b1798543348cfaa1cbbb6405bff60e8e0dea3f90..548a30abe9622cf3bfbcf9e72a9dbd947394d306 100644
--- a/manifests/batches/numina/001680.json
+++ b/manifests/batches/numina/001680.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001680",
   "batch_fingerprint": "163f90fb7d97ea54b08d6060c743ba3d292479da19042710fb2720f7835a3024",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001680-0000-bc73e7ae21cac03b.parquet",
-      "sha256": "bc73e7ae21cac03b0bbf9b5e551c849edccc7b40410236c187e8eb648d03b0bb",
-      "bytes": 165954,
-      "rows": 23,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/dev/numina-001680-0000-5895e5cc0baa25ff.parquet",
-      "sha256": "5895e5cc0baa25ffc4bdda5f52eb50e594b3f3eafd19778b9e5a8247d0a40abf",
-      "bytes": 150796,
-      "rows": 12,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:337acdd1-22d7-5c1c-98a2-d19c0eadcd23",
     "numina:674e14e7-d621-576d-ac7c-b65538ba4595",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008402.lean\",\"32b7e1635c95f55df88ef5dbcc2dd0fc459b3d757a761df144fe8120cc0b2751\",0,\"algebra_241720\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008403.lean\",\"6084a6df3229873eb05a545bdd3b68590a47ec58c7e418d6cd66ac6afdcafa2c\",0,\"algebra_20497\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008404.lean\",\"4205733b459393a3a1f18a09eb8ddad9540f5e53ffef26018049dc2598fba912\",0,\"algebra_10335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165954,
+      "path": "data/train/p28/numina-001680-0000-bc73e7ae21cac03b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "bc73e7ae21cac03b0bbf9b5e551c849edccc7b40410236c187e8eb648d03b0bb"
+    },
+    {
+      "bytes": 150796,
+      "path": "data/dev/p28/numina-001680-0000-5895e5cc0baa25ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5895e5cc0baa25ffc4bdda5f52eb50e594b3f3eafd19778b9e5a8247d0a40abf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001681.json b/manifests/batches/numina/001681.json
index 6452cdbf5401d5c8e920d86bec59462f0742ac31..c87710fb8afac878c6a6db266bcb5a0aab9b825f 100644
--- a/manifests/batches/numina/001681.json
+++ b/manifests/batches/numina/001681.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001681",
   "batch_fingerprint": "1ed6cdaa1ed25db4b5dbad73d0625dc12a5d33c98b6aead4532e06b609298b28",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001681-0000-f3e6b59badb38f93.parquet",
-      "sha256": "f3e6b59badb38f936f821549f73d283e947f129c4f8cb45063652c3da7c1ab9f",
-      "bytes": 867525,
-      "rows": 21,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    },
-    {
-      "path": "data/train/numina-001681-0001-629a80747c905116.parquet",
-      "sha256": "629a80747c90511611ee68765d1fcd979f34f5deb7c11ddf2ccbb539937ae83c",
-      "bytes": 42036,
-      "rows": 1,
-      "revision": "ce158351069b4405fd2cd0441b00ebc8329afc50"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3de9a2e0-af87-5c9d-b7df-8cedb966c2c2",
     "numina:97ce892f-5f6f-5d42-b9d9-77516abd1705",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008407.lean\",\"0b3be4570123fae0152d93a69b6a7e00d5744b399d7f50ecb7c606608c85a213\",0,\"inequalities_596997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008408.lean\",\"1526242e426ad5d08716392fae2c93374f87763c28b3b8ce3f37a000c94267e8\",0,\"algebra_188770\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008409.lean\",\"68b29b6560dd6b40f3b4e4fe74c70d89684add315ef3ddfaf736117f29becbbe\",0,\"algebra_22643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 867525,
+      "path": "data/train/pdc/numina-001681-0000-f3e6b59badb38f93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f3e6b59badb38f936f821549f73d283e947f129c4f8cb45063652c3da7c1ab9f"
+    },
+    {
+      "bytes": 42036,
+      "path": "data/train/pdc/numina-001681-0001-629a80747c905116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "629a80747c90511611ee68765d1fcd979f34f5deb7c11ddf2ccbb539937ae83c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001682.json b/manifests/batches/numina/001682.json
index cc5a3a9f848087cc1908d468e68cfddb63bd9854..0852a374f7d1675552f33ee12f64186114dc5700 100644
--- a/manifests/batches/numina/001682.json
+++ b/manifests/batches/numina/001682.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001682",
   "batch_fingerprint": "e66a13d2f67c4da39f68d7d2c0582382034531f1a1811e4c28fc4d82e06dd526",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001682-0000-586ec9cb43e9615f.parquet",
-      "sha256": "586ec9cb43e9615f9ad27a4aa2ca8299aef4276c34715a1a01d3c96c674c8fb1",
-      "bytes": 470007,
-      "rows": 43,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/train/numina-001682-0001-71cca46fdbadaf41.parquet",
-      "sha256": "71cca46fdbadaf41fdb7665fd18ca44cca7ffe437c8e26c2b846b84b1f037406",
-      "bytes": 318360,
-      "rows": 14,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1e4638c2-b650-55cf-95b1-589863fef1b7",
     "numina:32f01efc-7bcb-553f-b86b-fd466481809f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008412.lean\",\"8e9adb8676e5b90087f49b99d36e8634f62e0e01ffa09f5608214f738d1686b0\",0,\"number_theory_239017\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008413.lean\",\"734c3b1d34b98717c68ac2e3cf1b2ef83ad8f64cffa6d5d2a6d297fd19eaa561\",0,\"algebra_212567\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008414.lean\",\"c2ab76e4046bda603bd665c5fe8819270f55f6406b5b41d26de2db10b1c45458\",0,\"number_theory_605319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470007,
+      "path": "data/train/p50/numina-001682-0000-586ec9cb43e9615f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "586ec9cb43e9615f9ad27a4aa2ca8299aef4276c34715a1a01d3c96c674c8fb1"
+    },
+    {
+      "bytes": 318360,
+      "path": "data/train/p50/numina-001682-0001-71cca46fdbadaf41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "71cca46fdbadaf41fdb7665fd18ca44cca7ffe437c8e26c2b846b84b1f037406"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001683.json b/manifests/batches/numina/001683.json
index 8d9d56815634d6ddef071a2e4e181d587c40dc48..b1aae76632ae9a6d03458a5b6200be8ec8e83e1c 100644
--- a/manifests/batches/numina/001683.json
+++ b/manifests/batches/numina/001683.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001683",
   "batch_fingerprint": "9bc36bba5a28cf33df1f05da44c6ea4fb731fc6c0e77556f3321d839fc60f7a0",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001683-0000-a64b8fca11737b13.parquet",
-      "sha256": "a64b8fca11737b133205eb420e7a1586c5661e8e541375a00ffe9b5a9df575e1",
-      "bytes": 524111,
-      "rows": 53,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/train/numina-001683-0001-ef14cb79173a6625.parquet",
-      "sha256": "ef14cb79173a6625bd9e00f965b52e16b9f575a18305e66ababa1d4c5a20823f",
-      "bytes": 1250604,
-      "rows": 14,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/train/numina-001683-0002-2dfde7b6a8bd05a0.parquet",
-      "sha256": "2dfde7b6a8bd05a055254383021fb17f4a7e4f99f0f14c28bd6a02d084db15f4",
-      "bytes": 271191,
-      "rows": 2,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b606412-4dc8-5ce2-9ea0-05d381e7d213",
     "numina:29a72861-86fd-5266-a867-2e52f95a9cde",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008417.lean\",\"43d0fb7812f41f6e6285ced10ee6b4d41361021a5f5d3c7378edeaf83948a32a\",0,\"number_theory_75066\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008418.lean\",\"6e0edfcad3190f054f5a73e41b99c4e7ac50a6f7ea5932615c461ad6afbcd8ee\",0,\"inequalities_65388\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008419.lean\",\"334f3a0af536aaa98db6d5b06ad8a092f7e0865ca29b0149d3b69ebeb9d72a4e\",0,\"algebra_597109\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 524111,
+      "path": "data/train/p7b/numina-001683-0000-a64b8fca11737b13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "a64b8fca11737b133205eb420e7a1586c5661e8e541375a00ffe9b5a9df575e1"
+    },
+    {
+      "bytes": 1250604,
+      "path": "data/train/p7b/numina-001683-0001-ef14cb79173a6625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ef14cb79173a6625bd9e00f965b52e16b9f575a18305e66ababa1d4c5a20823f"
+    },
+    {
+      "bytes": 271191,
+      "path": "data/train/p7b/numina-001683-0002-2dfde7b6a8bd05a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2dfde7b6a8bd05a055254383021fb17f4a7e4f99f0f14c28bd6a02d084db15f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001684.json b/manifests/batches/numina/001684.json
index 331274e7879beb36908f8c2b686a25cc5ad7125e..540ce9e827f4067d509051d46ad54431edb4946f 100644
--- a/manifests/batches/numina/001684.json
+++ b/manifests/batches/numina/001684.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001684",
   "batch_fingerprint": "30c18fec9fcd204767ec9bcdd658bc1f4b025fd9447ea2f8df1fc6065862531a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001684-0000-577457e799dc8190.parquet",
-      "sha256": "577457e799dc81902fde86f6ff7967be8ed2c906f12e56744867a68b0b58b04a",
-      "bytes": 428104,
-      "rows": 42,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:55b3a6f1-7da0-520a-b8af-7c86b22c2557",
     "numina:77ff5f71-f702-591b-84e8-e4f5e8e699c5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008422.lean\",\"855097360898cdb1eeb3208f372130825e15ae73affe039374d4dd57185e57f2\",0,\"number_theory_58170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008423.lean\",\"73a1616eafd1e6deb6d4ac37a75e2c1894bee54fc7b980b3ea6e9273ea9334b7\",0,\"algebra_10357\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008424.lean\",\"d9d6bcc86c5d3d0c1d22b5050db385b6e42d6b33588cf588ec0f0cb4ac728866\",0,\"algebra_20401\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428104,
+      "path": "data/train/p43/numina-001684-0000-577457e799dc8190.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "577457e799dc81902fde86f6ff7967be8ed2c906f12e56744867a68b0b58b04a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001685.json b/manifests/batches/numina/001685.json
index 112e8fee6e793b08b1d7eeb79581889ef60017d8..dd4240c44928f8c72a5d9022c2397329c20b5b6f 100644
--- a/manifests/batches/numina/001685.json
+++ b/manifests/batches/numina/001685.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001685",
   "batch_fingerprint": "835e57e207a154b8d40baa5132bb744994676ccbfa428d71be9d7210846cc018",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:149ec314-638a-5ba1-9499-2822d44dd5cd",
+    "numina:646cd2ed-9371-5dc0-840b-ac7eb57047b2",
+    "numina:850f826b-c7df-54f1-bb8a-37587414705d",
+    "numina:c9d8744b-6cb5-5e00-9351-eb887f677d41"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008425.lean\",\"a46aed19aa1fb7ea45b30e8d86d0ed4a7a6365a8398d59a5d3b04f432c1fcfbe\",0,\"algebra_18671\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008426.lean\",\"4e59ac611464d4e1509506b0ce073cf4712af18ab4778dd7e30ed7b838e77849\",0,\"number_theory_610576\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008427.lean\",\"f90b4fc7476a53771b0fd839b41fa9fcec9f30c1fe596877e21a4a8229f5d97d\",0,\"number_theory_144645\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008428.lean\",\"e92ea37f06c8ca07eb78cf98cef497d5ad078d899e3de7fcaea4260d48e10d6f\",0,\"algebra_239034\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001685-0000-492d67381eb22ab7.parquet",
-      "sha256": "492d67381eb22ab7f4adc7ef9a9ae56a2a2463d9bb35d7347708cfa86dffb27a",
       "bytes": 250237,
+      "path": "data/train/p5d/numina-001685-0000-492d67381eb22ab7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
+      "sha256": "492d67381eb22ab7f4adc7ef9a9ae56a2a2463d9bb35d7347708cfa86dffb27a"
     },
     {
-      "path": "data/dev/numina-001685-0000-1e0c8ecd4ad4c00d.parquet",
-      "sha256": "1e0c8ecd4ad4c00df49b3079c3de10b398dfa3487e6fc8f3fd9f61f8adef1060",
       "bytes": 131400,
+      "path": "data/dev/p5d/numina-001685-0000-1e0c8ecd4ad4c00d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
+      "sha256": "1e0c8ecd4ad4c00df49b3079c3de10b398dfa3487e6fc8f3fd9f61f8adef1060"
     },
     {
-      "path": "data/internal_test/numina-001685-0000-d96a74c43bbeedaf.parquet",
-      "sha256": "d96a74c43bbeedafa94e6e7c0341a37cf9ea2ffd033d3f3d042eb9fc4b89c693",
       "bytes": 37222,
+      "path": "data/internal_test/p5d/numina-001685-0000-d96a74c43bbeedaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
+      "sha256": "d96a74c43bbeedafa94e6e7c0341a37cf9ea2ffd033d3f3d042eb9fc4b89c693"
     }
-  ],
-  "proof_ids": [
-    "numina:149ec314-638a-5ba1-9499-2822d44dd5cd",
-    "numina:646cd2ed-9371-5dc0-840b-ac7eb57047b2",
-    "numina:850f826b-c7df-54f1-bb8a-37587414705d",
-    "numina:c9d8744b-6cb5-5e00-9351-eb887f677d41"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008425.lean\",\"a46aed19aa1fb7ea45b30e8d86d0ed4a7a6365a8398d59a5d3b04f432c1fcfbe\",0,\"algebra_18671\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008426.lean\",\"4e59ac611464d4e1509506b0ce073cf4712af18ab4778dd7e30ed7b838e77849\",0,\"number_theory_610576\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008427.lean\",\"f90b4fc7476a53771b0fd839b41fa9fcec9f30c1fe596877e21a4a8229f5d97d\",0,\"number_theory_144645\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008428.lean\",\"e92ea37f06c8ca07eb78cf98cef497d5ad078d899e3de7fcaea4260d48e10d6f\",0,\"algebra_239034\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001686.json b/manifests/batches/numina/001686.json
index 11bf44e559133c8ac16ed52346c0e8b1aedde134..8ce8505484b04035c784576104a0ca4b4f7f091f 100644
--- a/manifests/batches/numina/001686.json
+++ b/manifests/batches/numina/001686.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001686",
   "batch_fingerprint": "b8e0a9ee18b4a28b4b6ff8f1fd28b1692f7fb00ec469f38712132c045bc60276",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001686-0000-0c4f2e198f737b29.parquet",
-      "sha256": "0c4f2e198f737b297c79c92f5fca1a4e4d5c6998c1ee4701db954b58598e5dd3",
-      "bytes": 273185,
-      "rows": 19,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/dev/numina-001686-0000-329ecf8419dc1e74.parquet",
-      "sha256": "329ecf8419dc1e742c65c7939398c7db70d3f099484164349fe14546fd8b20d8",
-      "bytes": 128728,
-      "rows": 8,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/numina-001686-0000-450b8c9553608cd7.parquet",
-      "sha256": "450b8c9553608cd78ee0582617ba5baae5bdf6b66281f1604906bb32bb1ab7bd",
-      "bytes": 126809,
-      "rows": 7,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0749b78a-7ed5-5845-95b2-444f908258c5",
     "numina:9945e23e-2bdd-52a1-b896-49c7d275a73c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008432.lean\",\"14632e40512fd0da4801d0aa67c6c1096d98970132bae4aff8550d3b7d0331e6\",0,\"number_theory_706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008433.lean\",\"c458e3d608b91271985bfba5b39ac81c2ebbd5ea378bbc031cc7028d59462cbf\",0,\"inequalities_144685\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008434.lean\",\"34691f8fe29bd2b1f4200aa50628158452c071fd6765607153948379248c3726\",0,\"inequalities_605810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273185,
+      "path": "data/train/pbd/numina-001686-0000-0c4f2e198f737b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0c4f2e198f737b297c79c92f5fca1a4e4d5c6998c1ee4701db954b58598e5dd3"
+    },
+    {
+      "bytes": 128728,
+      "path": "data/dev/pbd/numina-001686-0000-329ecf8419dc1e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "329ecf8419dc1e742c65c7939398c7db70d3f099484164349fe14546fd8b20d8"
+    },
+    {
+      "bytes": 126809,
+      "path": "data/internal_test/pbd/numina-001686-0000-450b8c9553608cd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "450b8c9553608cd78ee0582617ba5baae5bdf6b66281f1604906bb32bb1ab7bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001687.json b/manifests/batches/numina/001687.json
index 71e06fcf35df835e71a77e026e9aea8383abdd4e..2459b040a286d9eef560df1271ec5372ed25dba4 100644
--- a/manifests/batches/numina/001687.json
+++ b/manifests/batches/numina/001687.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001687",
   "batch_fingerprint": "20c6beb9cde2a42ce95b27de5e6f995eae86a3ed277254b7da042f693da3cf7e",
   "evidence": {
@@ -18,62 +17,63 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0122bf49-ebe4-5ac9-8ba9-3769220a7741",
+    "numina:4d9b42f7-1e85-5d1f-b005-af589db75768",
+    "numina:84f3afc5-ecc3-5bfc-9355-31e3ec251773",
+    "numina:9343459c-f277-53dc-9440-70bf3a627700",
+    "numina:eba4d5df-8d78-5964-9f09-0577088859c9"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008435.lean\",\"248f9a36744ea1c43ee0af93a46016d3b4c661fe7c4bb06d7c85702a1076bb08\",0,\"number_theory_23899\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008436.lean\",\"9a9a56fda491a43d668d3aa34e477baa463f25043de52915beba169495e4c6cc\",0,\"algebra_154011\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008437.lean\",\"d77a576ebebcab944499d87331876335a8de484ea76794eb074c825e0c3e34a8\",0,\"algebra_212761\"]",
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+  ],
   "shards": [
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-      "path": "data/train/numina-001687-0004-84e5dcbe80ea8886.parquet",
-      "sha256": "84e5dcbe80ea8886843b135db0098357a993097cd167391f1a73ad72445d7724",
       "bytes": 275538,
+      "path": "data/train/pf1/numina-001687-0004-84e5dcbe80ea8886.parquet",
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       "rows": 7,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
+      "sha256": "84e5dcbe80ea8886843b135db0098357a993097cd167391f1a73ad72445d7724"
     },
     {
-      "path": "data/internal_test/numina-001687-0000-49f96a0c3c824197.parquet",
-      "sha256": "49f96a0c3c82419731318c0ff85609c5164236c598a564302687e1cd6df48ea3",
       "bytes": 32951,
+      "path": "data/internal_test/pf1/numina-001687-0000-49f96a0c3c824197.parquet",
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       "rows": 4,
-      "revision": "48f32b1913ed4f05b56b81122b6b66f670496b71"
+      "sha256": "49f96a0c3c82419731318c0ff85609c5164236c598a564302687e1cd6df48ea3"
     }
-  ],
-  "proof_ids": [
-    "numina:0122bf49-ebe4-5ac9-8ba9-3769220a7741",
-    "numina:4d9b42f7-1e85-5d1f-b005-af589db75768",
-    "numina:84f3afc5-ecc3-5bfc-9355-31e3ec251773",
-    "numina:9343459c-f277-53dc-9440-70bf3a627700",
-    "numina:eba4d5df-8d78-5964-9f09-0577088859c9"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008435.lean\",\"248f9a36744ea1c43ee0af93a46016d3b4c661fe7c4bb06d7c85702a1076bb08\",0,\"number_theory_23899\"]",
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-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008437.lean\",\"d77a576ebebcab944499d87331876335a8de484ea76794eb074c825e0c3e34a8\",0,\"algebra_212761\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008438.lean\",\"87ffecd16f5455ce11dc03d7aa356d84d3dc03b993bd8fdce7e36e37551f9dfd\",0,\"algebra_96609\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008439.lean\",\"17c4056d4ae16fbb0fb2bb31500734fa4f9de42249a1a8b5b7d2ac9cbd793a8b\",0,\"number_theory_610583\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001688.json b/manifests/batches/numina/001688.json
index 37c186516ae24e3408568f33fc7b99151ec110b1..eb08c0f7d3e1892f801b3447cd9177a7993e15e8 100644
--- a/manifests/batches/numina/001688.json
+++ b/manifests/batches/numina/001688.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001688",
   "batch_fingerprint": "067d678ac6350eac351fb1561bcf1e16e5c61d4d9436725d13e1b5434ec81dc7",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001688-0000-630175cee915b080.parquet",
-      "sha256": "630175cee915b080b507d18636d7b2688f204b7350e30ebbe8e222935b0558c2",
-      "bytes": 668151,
-      "rows": 36,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/train/numina-001688-0001-08369b5d0136eb24.parquet",
-      "sha256": "08369b5d0136eb24ee7da052ab679b9c3ac4a2728c3cfcbf7707301f98c84017",
-      "bytes": 79651,
-      "rows": 15,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63577ea4-d63f-5af2-b154-357c28443c78",
     "numina:9203b98f-f4b5-5b64-908d-8c4e12841c4d",
@@ -66,5 +50,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 668151,
+      "path": "data/train/pda/numina-001688-0000-630175cee915b080.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "630175cee915b080b507d18636d7b2688f204b7350e30ebbe8e222935b0558c2"
+    },
+    {
+      "bytes": 79651,
+      "path": "data/train/pda/numina-001688-0001-08369b5d0136eb24.parquet",
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+      "sha256": "08369b5d0136eb24ee7da052ab679b9c3ac4a2728c3cfcbf7707301f98c84017"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001689.json b/manifests/batches/numina/001689.json
index f8e9178d3d390855dbec8c062e46f7da0d2a2c27..6b05bd719336479f64ccea29f72a141b1b80a7bd 100644
--- a/manifests/batches/numina/001689.json
+++ b/manifests/batches/numina/001689.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001689",
   "batch_fingerprint": "2e95b7ff6547665e4ef324380c4be9fdc663a1c681d7059e24227821de49b173",
   "evidence": {
@@ -19,69 +18,70 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:60d2eb8b-c7b3-57ac-88b4-2b07110c5295",
+    "numina:683d286f-0d3a-5f1f-a5d4-5c4935203d38",
+    "numina:b22c1e47-da81-5b67-a7d7-b2dd0fd947d5",
+    "numina:dfd8a445-8049-5e0e-9a6d-ff826caa5c5d",
+    "numina:ec0d3c75-eccc-5d4b-bf8b-ca3239c4c417"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008445.lean\",\"ef8ef7926831d556e72ef2b7719eabe49fc8137be1ced853cac60ed7c0cbf89a\",0,\"algebra_10778\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008446.lean\",\"aef2b3659cc762046a5340bff4e411c26678d66c5acfb47d417367a9fe6bdd3e\",0,\"algebra_223144\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008447.lean\",\"c5d9dd1829107869bf78bdd36d5e4122afee234cd6eb32e6b4d43c9b6f3a843b\",0,\"number_theory_96611\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008448.lean\",\"46409c7ba143f9ad332687f1124d1bff0cbbb7f05f5228f85385057d5d6f1fd5\",0,\"algebra_18686\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008449.lean\",\"59f4973ceaaea45e88ad93a043cc1e9c3aaaae3c810d7539c0f5d5af713ace4e\",0,\"algebra_9406\"]"
+  ],
   "shards": [
     {
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-      "sha256": "7331cc06d6f164a402f87de98c558eb14808b3a7160aac27e857b72046fe1de4",
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-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
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       "rows": 1,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
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       "rows": 1,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
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-      "sha256": "0f36e560eea04b9b2a85b955d44354fe8a0c2149fabca0ede14d9182287ff671",
       "bytes": 531262,
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       "rows": 10,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
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     {
-      "path": "data/train/numina-001689-0005-6ea1b1ed716ed185.parquet",
-      "sha256": "6ea1b1ed716ed18587bc71518a0b6ef4eb51deb597aa49415ce68a31458bab57",
       "bytes": 150539,
+      "path": "data/train/pda/numina-001689-0005-6ea1b1ed716ed185.parquet",
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       "rows": 11,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
+      "sha256": "6ea1b1ed716ed18587bc71518a0b6ef4eb51deb597aa49415ce68a31458bab57"
     },
     {
-      "path": "data/dev/numina-001689-0000-199c84ff0df89f78.parquet",
-      "sha256": "199c84ff0df89f78a5218d4671088161ddbb22201e9d0cb8c89dcaf582f7b6f3",
       "bytes": 163353,
+      "path": "data/dev/pda/numina-001689-0000-199c84ff0df89f78.parquet",
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       "rows": 44,
-      "revision": "60dcccc7384d163ff63d057732f5a4a448ab9e7d"
+      "sha256": "199c84ff0df89f78a5218d4671088161ddbb22201e9d0cb8c89dcaf582f7b6f3"
     }
-  ],
-  "proof_ids": [
-    "numina:60d2eb8b-c7b3-57ac-88b4-2b07110c5295",
-    "numina:683d286f-0d3a-5f1f-a5d4-5c4935203d38",
-    "numina:b22c1e47-da81-5b67-a7d7-b2dd0fd947d5",
-    "numina:dfd8a445-8049-5e0e-9a6d-ff826caa5c5d",
-    "numina:ec0d3c75-eccc-5d4b-bf8b-ca3239c4c417"
-  ],
-  "proof_keys": [
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-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008446.lean\",\"aef2b3659cc762046a5340bff4e411c26678d66c5acfb47d417367a9fe6bdd3e\",0,\"algebra_223144\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008447.lean\",\"c5d9dd1829107869bf78bdd36d5e4122afee234cd6eb32e6b4d43c9b6f3a843b\",0,\"number_theory_96611\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008448.lean\",\"46409c7ba143f9ad332687f1124d1bff0cbbb7f05f5228f85385057d5d6f1fd5\",0,\"algebra_18686\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008449.lean\",\"59f4973ceaaea45e88ad93a043cc1e9c3aaaae3c810d7539c0f5d5af713ace4e\",0,\"algebra_9406\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001690.json b/manifests/batches/numina/001690.json
index 364ed9a8ad4c94293aa02cbd371b46c9b63c7206..9e636f6c9e7607988fd11b01a19a61f8c63bc1cb 100644
--- a/manifests/batches/numina/001690.json
+++ b/manifests/batches/numina/001690.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001690",
   "batch_fingerprint": "cb07aaf9b1c8149d222d4ee5cd9f091486d1cd6f1f00267b625de4226085bd78",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001690-0000-c62635fb49a01739.parquet",
-      "sha256": "c62635fb49a0173900e2da09e3c77f3065630d63f027d38e28a8088c896f1f1d",
-      "bytes": 288743,
-      "rows": 26,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    },
-    {
-      "path": "data/internal_test/numina-001690-0000-296dd73e0d6322f8.parquet",
-      "sha256": "296dd73e0d6322f8f0cea083ce356891d1a70863f6581add404ab3b7e529c657",
-      "bytes": 88523,
-      "rows": 20,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b5e9e34-99f8-5bf7-9b2f-83bf51a40dcf",
     "numina:2f04df8e-3e99-544c-ae44-f926797b1116",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008452.lean\",\"a2da02e8829c18bdfa9080cb5ab17c655a482a2057fcd1324c2aed0900e78cfa\",0,\"algebra_213045\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008453.lean\",\"b349f589b207bddd8fac2db293626572e6cc886563f558d30803abac60704b85\",0,\"number_theory_22766\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008454.lean\",\"7ec18afaa116c5f52ff2cc2906832bfa3a223df26e5f95bf162b32ef232f3053\",0,\"algebra_23908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288743,
+      "path": "data/train/p55/numina-001690-0000-c62635fb49a01739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c62635fb49a0173900e2da09e3c77f3065630d63f027d38e28a8088c896f1f1d"
+    },
+    {
+      "bytes": 88523,
+      "path": "data/internal_test/p55/numina-001690-0000-296dd73e0d6322f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "296dd73e0d6322f8f0cea083ce356891d1a70863f6581add404ab3b7e529c657"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001691.json b/manifests/batches/numina/001691.json
index ca5c74e17ed4b7f7ed08f35f1adff61507bf2f41..bf5db383dadde5f99f4f3dbcbfb2c57bccc9bf75 100644
--- a/manifests/batches/numina/001691.json
+++ b/manifests/batches/numina/001691.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001691",
   "batch_fingerprint": "324f40f259757d46fee99bd4dac7b9be5e9ec976256f04b083540ac36028e249",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001691-0000-de2b7d04af11dcb1.parquet",
-      "sha256": "de2b7d04af11dcb1d151d0654d8a942fe8ed30730c5696699e804bd7d078683e",
-      "bytes": 651323,
-      "rows": 61,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12c90ccf-5bab-5c56-96ab-0b27bd2abad4",
     "numina:32433cdd-1ab8-564b-a4b6-659528ec2638",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008457.lean\",\"c482efea7f5bd1f2d189f3fc2f50b71407689968d2039df2846e4a625a78a9a8\",0,\"algebra_13849\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008458.lean\",\"cdf008fcf0487e5c9520c44b51783a791f3d2a5179c1730ccf0f2925c0d44650\",0,\"algebra_291167\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008459.lean\",\"eaef8a006031155339b8d5d29e6624e7f9ad847faa07bd20af205344fa82e576\",0,\"algebra_605824\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 651323,
+      "path": "data/train/p0b/numina-001691-0000-de2b7d04af11dcb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "de2b7d04af11dcb1d151d0654d8a942fe8ed30730c5696699e804bd7d078683e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001692.json b/manifests/batches/numina/001692.json
index 7e512ee15eb0e3bb42dd313191bfac553ea96255..49fc63c8e10796abdb32d496e3b3b5891c1f2bb5 100644
--- a/manifests/batches/numina/001692.json
+++ b/manifests/batches/numina/001692.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001692",
   "batch_fingerprint": "8807800eb169042e71efdc7d3d34b94d2f7c9b1078ed4eab8714cff359704ce5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001692-0000-3290dfa14494bf29.parquet",
-      "sha256": "3290dfa14494bf2919e26175f087abf989e7c59b57f745e47686cf08daffc010",
-      "bytes": 222175,
-      "rows": 21,
-      "revision": "f9417ee8bc2f2363270b5bad88d14061f42377ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5bcafde5-4483-5643-9d5d-b0f2bed7d3f5",
     "numina:79ff53ea-c7d1-58de-ae00-516b3cde9403",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008462.lean\",\"e0396a3d9dce4472f65a3e56da2f8228b7bae417c340363c3fed950f6d267351\",0,\"number_theory_22771\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008463.lean\",\"d16924ee2c4d17906e10d12d3f2e845c43a4498706c4b697c135656db5beb1ee\",0,\"inequalities_180276\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008464.lean\",\"1bc1e3e6621a4dd2b3cd2ee3570f810cd3c245bd1dde43ff5fd20948ff440cb9\",0,\"other_24925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222175,
+      "path": "data/train/pd7/numina-001692-0000-3290dfa14494bf29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3290dfa14494bf2919e26175f087abf989e7c59b57f745e47686cf08daffc010"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001693.json b/manifests/batches/numina/001693.json
index b00b533f8e99c9ddc6ae44c474d32c5d4e0d98d0..c0c057e39ae7a83b15f9b1744a259460994d7738 100644
--- a/manifests/batches/numina/001693.json
+++ b/manifests/batches/numina/001693.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001693",
   "batch_fingerprint": "2f58779fa4104f2d1221a82127585b1d96810aa73ca217faae8447c1b13b6707",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001693-0000-5f7f675a6f1e1ccf.parquet",
-      "sha256": "5f7f675a6f1e1ccf046b15746172dfb53b56d124e004422f043785f6ca5bc838",
-      "bytes": 665159,
-      "rows": 75,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/train/numina-001693-0001-8e6fe45f1c25c56b.parquet",
-      "sha256": "8e6fe45f1c25c56bfcf140aa36ca0c0a322606ec07221ef5503d67d0897a5a13",
-      "bytes": 203702,
-      "rows": 43,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46b05e0a-0f13-5c73-8472-87cba255c028",
     "numina:57eaa911-d62d-531a-84c8-470366c1eeaf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008467.lean\",\"aa60aeb524ba95d93e123ff3c43a21d2f0c188cb68ce1ad3e7cf7eba6cc4e5bc\",0,\"inequalities_65799\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008468.lean\",\"581855c060c1c2123db73c5410f1387731f7a57e5db7dc0b994fa4da382443fe\",0,\"number_theory_97149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008469.lean\",\"fe56be797e42d3ef7de339d8ff7b7c076df8e72324c5e0eb2feaf64db3d61305\",0,\"algebra_118463\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 665159,
+      "path": "data/train/pac/numina-001693-0000-5f7f675a6f1e1ccf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 75,
+      "sha256": "5f7f675a6f1e1ccf046b15746172dfb53b56d124e004422f043785f6ca5bc838"
+    },
+    {
+      "bytes": 203702,
+      "path": "data/train/pac/numina-001693-0001-8e6fe45f1c25c56b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "8e6fe45f1c25c56bfcf140aa36ca0c0a322606ec07221ef5503d67d0897a5a13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001694.json b/manifests/batches/numina/001694.json
index b0011b28e788914fe1e5c8f46bc51c7a4277deec..d3d21356f9e3cabb6174b72a5ff3f04fdb73ff2e 100644
--- a/manifests/batches/numina/001694.json
+++ b/manifests/batches/numina/001694.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001694",
   "batch_fingerprint": "a4fc53c086b599d7425643913dd2fdb406b2fb75e97d169fc325de2620e0cc14",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001694-0000-1b761b635bab71e2.parquet",
-      "sha256": "1b761b635bab71e2c7bdfbda72f5dc7b437845fd8e0e444f3c2d116cd2edf76e",
-      "bytes": 407156,
-      "rows": 36,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/numina-001694-0000-2e2df70c73c6dc48.parquet",
-      "sha256": "2e2df70c73c6dc486f126ab06392126f05e3b473fd540aac06216ef6cf75e16f",
-      "bytes": 108815,
-      "rows": 9,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10be116d-831d-5f10-a093-95d47660f210",
     "numina:526ab436-01e7-51c6-a015-90b1282ad9ae",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008472.lean\",\"44da8f8b89a89bb2316d1618eb5cf34903fa9be88e443d6bfe53f0b120f57a15\",0,\"inequalities_144834\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008473.lean\",\"fe7db9616074742eabed4cc0620709c4ec839b1cdc789c8f022b4e5a77e07fc0\",0,\"algebra_20885\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008474.lean\",\"52f4c3e3e16b5af63ba27c6d72ae743be11437e865276f94210d37b731977c21\",0,\"algebra_95201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407156,
+      "path": "data/train/pfc/numina-001694-0000-1b761b635bab71e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "1b761b635bab71e2c7bdfbda72f5dc7b437845fd8e0e444f3c2d116cd2edf76e"
+    },
+    {
+      "bytes": 108815,
+      "path": "data/internal_test/pfc/numina-001694-0000-2e2df70c73c6dc48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2e2df70c73c6dc486f126ab06392126f05e3b473fd540aac06216ef6cf75e16f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001695.json b/manifests/batches/numina/001695.json
index 1ac6c1dd3db0ca3ea15b6d145290db060b330100..44f0dd060f98afab70a5ee7227ce876c812330ba 100644
--- a/manifests/batches/numina/001695.json
+++ b/manifests/batches/numina/001695.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001695",
   "batch_fingerprint": "4890766dd1e0c3c0278fa6972aff60bacedf9fce03bbf4b72f257d84d5b29129",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:011cd4a8-bdca-5ebd-b1fe-b6d77b15257d",
+    "numina:76cb4da5-7185-5e8b-a9f5-329db30dfb63",
+    "numina:94602a37-ea71-5661-a433-cdb86d32e175",
+    "numina:d2cedae2-50d8-598e-9de3-5f39486acdc2",
+    "numina:dcb2cae4-ec31-5655-8306-c4f51dd50684"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008475.lean\",\"472424891b8658588104ff81bdedd60a28698becd7f61af6e48f65199625a578\",0,\"inequalities_180447\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008476.lean\",\"811227c7165c5555442e7a5bb235bd2f5252c8b389d40eff18c3af0258683318\",0,\"algebra_610543\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008477.lean\",\"ced3f773e5fadba212b641c19e6fd6fa460e9cf03905d305034113afd88746be\",0,\"algebra_206019\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008478.lean\",\"29c59d4ba53dab216bf00ad973debf7f78a6177797b5896f67bfb057346f62dd\",0,\"inequalities_225636\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008479.lean\",\"4c6e9deeed4dc61e06222a64b9f78803329e1b821a95377892e5d3fdbef8c391\",0,\"inequalities_35861\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001695-0000-024e0ac91e2c4edd.parquet",
-      "sha256": "024e0ac91e2c4edd79e94a1a8e022617d8c288f8499aa3fff113de9360bf44de",
       "bytes": 460203,
+      "path": "data/train/pfc/numina-001695-0000-024e0ac91e2c4edd.parquet",
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       "rows": 11,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
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     {
-      "path": "data/train/numina-001695-0001-c564985be890321a.parquet",
-      "sha256": "c564985be890321ae402705d8a047ca8b60ec3a00ed6ab1978bd623850eb0cab",
       "bytes": 481493,
+      "path": "data/train/pfc/numina-001695-0001-c564985be890321a.parquet",
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       "rows": 2,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
+      "sha256": "c564985be890321ae402705d8a047ca8b60ec3a00ed6ab1978bd623850eb0cab"
     },
     {
-      "path": "data/dev/numina-001695-0000-0ffa72a3513e3e2f.parquet",
-      "sha256": "0ffa72a3513e3e2ff940c2095d6d2ac6b1fd7281b68601bbb6bd043aac81f08d",
       "bytes": 110101,
+      "path": "data/dev/pfc/numina-001695-0000-0ffa72a3513e3e2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
+      "sha256": "0ffa72a3513e3e2ff940c2095d6d2ac6b1fd7281b68601bbb6bd043aac81f08d"
     },
     {
-      "path": "data/internal_test/numina-001695-0000-25f114df588a9077.parquet",
-      "sha256": "25f114df588a9077702965327e0e070c29e31a16b8ccb15d3cc0621ecd7d284d",
       "bytes": 142059,
+      "path": "data/internal_test/pfc/numina-001695-0000-25f114df588a9077.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
+      "sha256": "25f114df588a9077702965327e0e070c29e31a16b8ccb15d3cc0621ecd7d284d"
     }
-  ],
-  "proof_ids": [
-    "numina:011cd4a8-bdca-5ebd-b1fe-b6d77b15257d",
-    "numina:76cb4da5-7185-5e8b-a9f5-329db30dfb63",
-    "numina:94602a37-ea71-5661-a433-cdb86d32e175",
-    "numina:d2cedae2-50d8-598e-9de3-5f39486acdc2",
-    "numina:dcb2cae4-ec31-5655-8306-c4f51dd50684"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008475.lean\",\"472424891b8658588104ff81bdedd60a28698becd7f61af6e48f65199625a578\",0,\"inequalities_180447\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008476.lean\",\"811227c7165c5555442e7a5bb235bd2f5252c8b389d40eff18c3af0258683318\",0,\"algebra_610543\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008477.lean\",\"ced3f773e5fadba212b641c19e6fd6fa460e9cf03905d305034113afd88746be\",0,\"algebra_206019\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008478.lean\",\"29c59d4ba53dab216bf00ad973debf7f78a6177797b5896f67bfb057346f62dd\",0,\"inequalities_225636\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008479.lean\",\"4c6e9deeed4dc61e06222a64b9f78803329e1b821a95377892e5d3fdbef8c391\",0,\"inequalities_35861\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001696.json b/manifests/batches/numina/001696.json
index 45e8f1b3b97b763a0be69515f53492b4fb4be4e4..5690d499aed2196020d4d081b9557861b90f8c69 100644
--- a/manifests/batches/numina/001696.json
+++ b/manifests/batches/numina/001696.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001696",
   "batch_fingerprint": "ce91e27f06ac5d00f4241d3432acc85b7c93d64452036b38437f8f3aef232100",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001696-0000-92e4594f8c4b00a2.parquet",
-      "sha256": "92e4594f8c4b00a2f965a56e60ea9b080ab3bdebd87da4b254500331d54f9f66",
-      "bytes": 315318,
-      "rows": 36,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1abc063c-fde4-5b60-bec5-2209ba38e487",
     "numina:49c4d7c8-59d3-59b3-90b3-8ce853e499b5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008482.lean\",\"230e7b9a7ff74572b5afb112c0d76b0834c220528cb2d70e45bf26bbeeec4898\",0,\"inequalities_245546\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008483.lean\",\"c9d1bd0c56981f9420b3a90dc7824eddd22b118a9dae763cde6fe8d791e25c41\",0,\"algebra_9448\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008484.lean\",\"8671d4601b97e805bb6afe3eea7fba4b552d5f3302544aa74d8ae27269287db9\",0,\"algebra_201324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315318,
+      "path": "data/train/p43/numina-001696-0000-92e4594f8c4b00a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "92e4594f8c4b00a2f965a56e60ea9b080ab3bdebd87da4b254500331d54f9f66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001697.json b/manifests/batches/numina/001697.json
index 35640e0995be9b4bd4169c7f78fb8684a80c7d5a..b778748f7dbd40315b2d3a6824ec04161bc00d40 100644
--- a/manifests/batches/numina/001697.json
+++ b/manifests/batches/numina/001697.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001697",
   "batch_fingerprint": "e865e79a5a60f3626d5acd80e74675c52737c7d60ebbe02d6a445ad047acbdbf",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001697-0000-75b2b24a6e12d3a5.parquet",
-      "sha256": "75b2b24a6e12d3a5cfa76fa883af5a34249a1b5dc094982a5632d78478181016",
-      "bytes": 100014,
-      "rows": 9,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/numina-001697-0000-87452df1186e83e1.parquet",
-      "sha256": "87452df1186e83e1f4d674539679d028314ee4d44a8625c46cc064a348868649",
-      "bytes": 80731,
-      "rows": 25,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b9f23f3-48d6-533a-9486-cb4e56c42ce4",
     "numina:3f475e8b-9382-57ef-a562-d1e59b1dae52",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008487.lean\",\"53a1a9300759c516ae888f9542365820e2f7297fc91386f31a881ed75234b586\",0,\"algebra_87894\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008488.lean\",\"60bd809c34a8aeb01acb615b0f36c48c113dc68e8ff9f2e14a41385f8281861e\",0,\"algebra_95206\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008489.lean\",\"f312f8c1faeed51ff5b0837243e3be6781bf8ba5b5ea468e1235b2b6564bc3e3\",0,\"calculus_18627\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100014,
+      "path": "data/train/pad/numina-001697-0000-75b2b24a6e12d3a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "75b2b24a6e12d3a5cfa76fa883af5a34249a1b5dc094982a5632d78478181016"
+    },
+    {
+      "bytes": 80731,
+      "path": "data/internal_test/pad/numina-001697-0000-87452df1186e83e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "87452df1186e83e1f4d674539679d028314ee4d44a8625c46cc064a348868649"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001698.json b/manifests/batches/numina/001698.json
index 7958b82b004aebca840c12d48631dba984a95551..443212225df61b0325c1a8789ec0417d1f45edc7 100644
--- a/manifests/batches/numina/001698.json
+++ b/manifests/batches/numina/001698.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001698",
   "batch_fingerprint": "320607f7abac1cf2272b56c612ee43e369a9d033eb1278930dc5367bbb6c8ebc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001698-0000-b6a824d3fc344312.parquet",
-      "sha256": "b6a824d3fc344312726a01a268b0066010733f418cf9cab30de36b59a9ff1a3d",
-      "bytes": 492669,
-      "rows": 28,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/train/numina-001698-0001-988f41c13b221789.parquet",
-      "sha256": "988f41c13b221789ee53840268d83e17ca0bef0005292359f47949400037a111",
-      "bytes": 139454,
-      "rows": 17,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06f551e3-f058-51d1-b69c-f6375126d116",
     "numina:1df059e2-a84b-5c9e-98fa-f1b3a6e39d9c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008492.lean\",\"69b0f655185f4757f04cd6ac42d77b429ca40b1c806bc677d45789c1bf7b22b6\",0,\"calculus_23377\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008493.lean\",\"cae473ee926b3f10ecd3b521a3e7ee8016ed2a2219592a545e1b45da9635e5a9\",0,\"algebra_9450\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008494.lean\",\"b289c34566feec78981d7ed9baca2938bf4b9d9f41f1914abb5206a3b8b87544\",0,\"number_theory_144333\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492669,
+      "path": "data/train/pd8/numina-001698-0000-b6a824d3fc344312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b6a824d3fc344312726a01a268b0066010733f418cf9cab30de36b59a9ff1a3d"
+    },
+    {
+      "bytes": 139454,
+      "path": "data/train/pd8/numina-001698-0001-988f41c13b221789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "988f41c13b221789ee53840268d83e17ca0bef0005292359f47949400037a111"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001699.json b/manifests/batches/numina/001699.json
index 35d86fc930a0e8f19e96c5928d878c315585223d..d4b40110e238fb3857f14c495282c43381fb910c 100644
--- a/manifests/batches/numina/001699.json
+++ b/manifests/batches/numina/001699.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001699",
   "batch_fingerprint": "a6bb14c552dafae62030c4266b51136bcca43431c694e272144fcdddf414ae10",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001699-0000-9c8f1e6ef0c53b31.parquet",
-      "sha256": "9c8f1e6ef0c53b31b15c66d88dd82fab90dbf6c90d68093429026f746706e4d7",
-      "bytes": 328714,
-      "rows": 52,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/dev/numina-001699-0000-9e08ac4c58c300a4.parquet",
-      "sha256": "9e08ac4c58c300a43165b6fee2990680bd993668b02d9bc78aeb4b58af4e1a51",
-      "bytes": 169720,
-      "rows": 15,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/numina-001699-0000-eef83056ea965ba2.parquet",
-      "sha256": "eef83056ea965ba2041397b1d7a862ef57c5cfcc6ca2006676062f8798d1b3a3",
-      "bytes": 130132,
-      "rows": 19,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:43f5accc-2f20-5bb0-a957-5579d72fb2c3",
     "numina:9812dac3-7e43-5a28-852d-00f725eebb4f",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008498.lean\",\"9e73415bf5dd795e63830a0ee7d3c66023c44d0026b69cd1722f8793a416f995\",0,\"algebra_215065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008499.lean\",\"86d2681aa100ea2df77bb48f95406380fbfea64adc83ec6829044f89afab1357\",0,\"inequalities_145220\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328714,
+      "path": "data/train/pb3/numina-001699-0000-9c8f1e6ef0c53b31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "9c8f1e6ef0c53b31b15c66d88dd82fab90dbf6c90d68093429026f746706e4d7"
+    },
+    {
+      "bytes": 169720,
+      "path": "data/dev/pb3/numina-001699-0000-9e08ac4c58c300a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9e08ac4c58c300a43165b6fee2990680bd993668b02d9bc78aeb4b58af4e1a51"
+    },
+    {
+      "bytes": 130132,
+      "path": "data/internal_test/pb3/numina-001699-0000-eef83056ea965ba2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "eef83056ea965ba2041397b1d7a862ef57c5cfcc6ca2006676062f8798d1b3a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001700.json b/manifests/batches/numina/001700.json
index 13609f21fefb0a158c10d2d90e86c27d33ed5568..d52c9da40284588500b13762d96413cbe70af4e3 100644
--- a/manifests/batches/numina/001700.json
+++ b/manifests/batches/numina/001700.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001700",
   "batch_fingerprint": "319484abaf8d287f38770e45759394f5da232bd967ee3a798999a722fd3ae138",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001700-0000-01cac7a45da3a41c.parquet",
-      "sha256": "01cac7a45da3a41c18dc9dbfa771e83e5c2ab5df8b31a1066bc9b152469cd2c2",
-      "bytes": 432439,
-      "rows": 68,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6f8dd6ba-aa8d-5c09-8465-861500825dc9",
     "numina:77fd087d-5af7-58c2-8b26-00b34d5434d9",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008502.lean\",\"b15c493b08b6b97b3879b6aa6381b7732b7868234114235064ebb678c4aabbb8\",0,\"number_theory_173433\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008503.lean\",\"33258b0bfb8229744076b32bdbb68ddc9d816deddff51bd941622f6a546a9b4d\",0,\"number_theory_95212\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008504.lean\",\"b2979899f1c4b97fd836fd396cdbf1703957a2277cd08c44e5170ef6533df72e\",0,\"algebra_605971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432439,
+      "path": "data/train/pc2/numina-001700-0000-01cac7a45da3a41c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "01cac7a45da3a41c18dc9dbfa771e83e5c2ab5df8b31a1066bc9b152469cd2c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001701.json b/manifests/batches/numina/001701.json
index 014a1d027f459fb639fe9851242873855e2d7a8e..d98f356747a5f77047a2fd5577a066795efd6945 100644
--- a/manifests/batches/numina/001701.json
+++ b/manifests/batches/numina/001701.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001701",
   "batch_fingerprint": "9cb47a3d679906e1dc3fae2ff799ff34e837ed04e5ce97094bc93952ebaefe40",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001701-0000-7ca69870ea3bd39a.parquet",
-      "sha256": "7ca69870ea3bd39a46ca8b5e5e184a33dc4ed8293573e941b8a36de4cf08388d",
-      "bytes": 143816,
-      "rows": 17,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02dd0798-171b-591d-a0ee-ab41c0bad37b",
     "numina:15b928c3-8c99-5f93-a2d2-683eb050f52f",
@@ -41,5 +32,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008508.lean\",\"8854418c282c7c024b38a89b90c548b68d8d38c354bf0787bc5bb583d9bffc6a\",0,\"algebra_11149\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008509.lean\",\"6f860ed843bcb0759528864a216b72879d404abe68e180d66e09098737c42d9b\",0,\"algebra_18899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143816,
+      "path": "data/train/p05/numina-001701-0000-7ca69870ea3bd39a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7ca69870ea3bd39a46ca8b5e5e184a33dc4ed8293573e941b8a36de4cf08388d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001702.json b/manifests/batches/numina/001702.json
index 5e3b482b438af7878c4b02f19fd90fe0e95c8bde..d2c7df7aa9f766948bca3774786e331de24625d4 100644
--- a/manifests/batches/numina/001702.json
+++ b/manifests/batches/numina/001702.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001702",
   "batch_fingerprint": "f146e924df9ef8dada02aa9b642b81665c665235283040717425f183fcbe3a18",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001702-0000-98ba9f3866cb97eb.parquet",
-      "sha256": "98ba9f3866cb97eb9e2af984fef397bfebaa88ec62bf857f74206c42dfa724d0",
-      "bytes": 588075,
-      "rows": 57,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    },
-    {
-      "path": "data/train/numina-001702-0001-4e9523f4a460285e.parquet",
-      "sha256": "4e9523f4a460285e1e765057e8e085351f54daa7939a34696a82ad69c952acd5",
-      "bytes": 98793,
-      "rows": 1,
-      "revision": "5304a41c9373ba382e82e71ee1297d3104326404"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4b474c9d-bcba-5842-ae03-df9ed6e2e77e",
     "numina:58ff24c2-5c18-5b14-b485-3d738719b20f",
@@ -65,5 +49,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008513.lean\",\"334766986aa0643d22007b0dcc66f5b62e9abcaf7341ad9ccbbdbff7e6a68ca5\",0,\"inequalities_107283\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588075,
+      "path": "data/train/p02/numina-001702-0000-98ba9f3866cb97eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "98ba9f3866cb97eb9e2af984fef397bfebaa88ec62bf857f74206c42dfa724d0"
+    },
+    {
+      "bytes": 98793,
+      "path": "data/train/p02/numina-001702-0001-4e9523f4a460285e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "4e9523f4a460285e1e765057e8e085351f54daa7939a34696a82ad69c952acd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001703.json b/manifests/batches/numina/001703.json
index 4809d8cac72f15d90b69fb1a1ea76333b487cf7b..5cb54404300248157c5c26ee188f432c93eccd47 100644
--- a/manifests/batches/numina/001703.json
+++ b/manifests/batches/numina/001703.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001703",
   "batch_fingerprint": "662c235730ac4669c6a2c130e87666b13c7c221b6886af93ac324f4f328d3b7f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001703-0000-8f22ba1d42346fa7.parquet",
-      "sha256": "8f22ba1d42346fa72328cf851cc3c86ed5ea213eed7493bcc75f1ec87e0c9fcb",
-      "bytes": 262354,
-      "rows": 31,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    },
-    {
-      "path": "data/internal_test/numina-001703-0000-0472482f4a389ca7.parquet",
-      "sha256": "0472482f4a389ca7b8429d6b75bd9b9bc8cd1a16a56ad59cd6676a9ac160e4c9",
-      "bytes": 71693,
-      "rows": 5,
-      "revision": "e5b7375ca3f3475944a0acf026356b31030dc2d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:39f147cc-4dc8-5e00-b35d-767c2b9e7946",
     "numina:541928f4-6d6d-50e9-a8f9-aa9d194d55db",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008517.lean\",\"a89c9aa77d08e3bdcab6f1a1cc42a6a23549d119d1ed4750f452d6108d380640\",0,\"algebra_14481\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008518.lean\",\"290c9904251dd95d69a0f86a9db1d73bdd78f86714324d291d3696160ea3de20\",0,\"algebra_18900\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008519.lean\",\"612adb53ca954c7710475dc4a1654d37c1137c996414916f873c88a71235532b\",0,\"algebra_20692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262354,
+      "path": "data/train/pce/numina-001703-0000-8f22ba1d42346fa7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "8f22ba1d42346fa72328cf851cc3c86ed5ea213eed7493bcc75f1ec87e0c9fcb"
+    },
+    {
+      "bytes": 71693,
+      "path": "data/internal_test/pce/numina-001703-0000-0472482f4a389ca7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0472482f4a389ca7b8429d6b75bd9b9bc8cd1a16a56ad59cd6676a9ac160e4c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001704.json b/manifests/batches/numina/001704.json
index 6a3567e82e58d4874d149e81ac3ff3a99894fd1e..1661a35cacea92e645d41a9f0e5cdd761adac008 100644
--- a/manifests/batches/numina/001704.json
+++ b/manifests/batches/numina/001704.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001704",
   "batch_fingerprint": "38b7b9fa03f0e8f33c745d13bcd1558f468a0016ebd74c2fcf81980ec9b1bc7c",
   "evidence": {
@@ -51,15 +50,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001704-0000-21cde4ee2bb8b9ab.parquet",
-      "sha256": "21cde4ee2bb8b9ab430edb7a7d40a76fcd3b8c2783464e3f9c2eebd77d9ad516",
-      "bytes": 462349,
-      "rows": 12,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11362c17-8fad-5c0c-a780-914ed0cc2f72",
     "numina:7d6d02ef-bf54-5b20-9ee7-b1ec694f8a91",
@@ -71,5 +62,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008521.lean\",\"a1d6510afb5b6b49ccc44eb9d60eaeeb408eccdd22a516eee336adf577f3e2a8\",0,\"Number_Theory_609435\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008523.lean\",\"341e1ae02a8eeacbc08f925e230c6172892becee138108cdc42584443821a9c5\",0,\"number_theory_23912\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008524.lean\",\"5b5fe0de74211a207635ae3f1d973c2ef0ef06d8e70f77275dd30a78017bc39c\",0,\"inequalities_302683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 462349,
+      "path": "data/train/pc1/numina-001704-0000-21cde4ee2bb8b9ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "21cde4ee2bb8b9ab430edb7a7d40a76fcd3b8c2783464e3f9c2eebd77d9ad516"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001705.json b/manifests/batches/numina/001705.json
index 48e3f88e377d488306828ceea6e6255786ffcf60..23b879ebb452c81df54bd4c0df6446723f6566d1 100644
--- a/manifests/batches/numina/001705.json
+++ b/manifests/batches/numina/001705.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001705",
   "batch_fingerprint": "65cc673f7a9d05eb8867fe969b4060e18ea7fe0423fe20a26f99b44d3a5f5308",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001705-0000-3d368f6bd7201673.parquet",
-      "sha256": "3d368f6bd7201673ebd494967076ca9f34530c5e7e8c8aa39917115771b1c568",
-      "bytes": 512088,
-      "rows": 62,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:62840bad-40df-55ef-b99b-5fa0d0b9760f",
     "numina:6a5371ad-5cfd-5556-aba1-90e3ab10b585",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008527.lean\",\"84ced1bbb3335e87434ed79cfc415636b49e993f47dfe6bf85742ced631a5fd9\",0,\"algebra_239536\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008528.lean\",\"b67a1a5e28d44a016a9228b3e822278f061d72b3e8d424e13618c10b1803b4b3\",0,\"number_theory_22966\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008529.lean\",\"353d8e43b18a1f40231d60edb65601de05344cd863c91632cc8dcbe725142a86\",0,\"calculus_184908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512088,
+      "path": "data/train/p38/numina-001705-0000-3d368f6bd7201673.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 62,
+      "sha256": "3d368f6bd7201673ebd494967076ca9f34530c5e7e8c8aa39917115771b1c568"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001706.json b/manifests/batches/numina/001706.json
index 3ecac3e1b4640275d4b09d474d89b48bea03c8e8..4ea5c04947dbc0c1c3fb54d6c78a904950f27972 100644
--- a/manifests/batches/numina/001706.json
+++ b/manifests/batches/numina/001706.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001706",
   "batch_fingerprint": "5e25370f4ac4771eb57f47eda3263b62f3b3a536f3c8659ff838ad7b0f7c732c",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001706-0000-82697802966624f5.parquet",
-      "sha256": "82697802966624f55443dd0c1a0c6bd0f90b6e59f3d787a4e7155affb42d4f42",
-      "bytes": 522994,
-      "rows": 27,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/train/numina-001706-0001-a9c370eaedd9cbe5.parquet",
-      "sha256": "a9c370eaedd9cbe5ccff116b92882f9a5a6aabe414a92a8f77425383e507bff2",
-      "bytes": 705690,
-      "rows": 20,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    },
-    {
-      "path": "data/train/numina-001706-0002-99daa6bf65b1fc6e.parquet",
-      "sha256": "99daa6bf65b1fc6ec29f6d250defe74633e422c860f17923b32bcf3915fae59d",
-      "bytes": 417023,
-      "rows": 38,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22bc3fcb-c49d-58de-b29d-fdf04b9bf077",
     "numina:31c515a5-cf04-5ea7-b1b9-6d76f751555b",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008532.lean\",\"174fb816b1aad024b997458f0f750f8e69edbffacad871274ddcf4f677e08edf\",0,\"algebra_13379\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008533.lean\",\"9fa3a9e5f75197e5b905f1b7feba36e27b65dd50c994785e67a3473e76024953\",0,\"number_theory_608373\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008534.lean\",\"7dfe63ebc44f33efa72ab7b545d84a60a37d7813bc74b1c5480573c98fa15a7a\",0,\"algebra_605989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 522994,
+      "path": "data/train/p52/numina-001706-0000-82697802966624f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "82697802966624f55443dd0c1a0c6bd0f90b6e59f3d787a4e7155affb42d4f42"
+    },
+    {
+      "bytes": 705690,
+      "path": "data/train/p52/numina-001706-0001-a9c370eaedd9cbe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a9c370eaedd9cbe5ccff116b92882f9a5a6aabe414a92a8f77425383e507bff2"
+    },
+    {
+      "bytes": 417023,
+      "path": "data/train/p52/numina-001706-0002-99daa6bf65b1fc6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "99daa6bf65b1fc6ec29f6d250defe74633e422c860f17923b32bcf3915fae59d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001707.json b/manifests/batches/numina/001707.json
index 48a68a07819bf43524be4e75a9f7f249d59da9f8..3b0b925f45c00c69fdf73ae6d8a3635a3bbe768b 100644
--- a/manifests/batches/numina/001707.json
+++ b/manifests/batches/numina/001707.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001707",
   "batch_fingerprint": "a916a59b37b4909141d00179941bb401363f1a939e7595c21c528ab623eacf18",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001707-0000-7b917966cece7c5a.parquet",
-      "sha256": "7b917966cece7c5aac2b093a560995b1710375ea2d683543cd9b8d5164c19600",
-      "bytes": 859247,
-      "rows": 74,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/train/numina-001707-0001-c1c036cc62f4640b.parquet",
-      "sha256": "c1c036cc62f4640bc9809722b252019d7776e05cd531eeb7c39741f4b622ce75",
-      "bytes": 97361,
-      "rows": 4,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:092b18d9-5b6a-5dd9-aa06-96d4a9afbe4c",
     "numina:16af911c-2b41-57d5-966d-679d04d4c926",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008537.lean\",\"a4b2ea65cedf4c84fbacf598f05630ce4914f90c3d9f49047be69e8c98762dc3\",0,\"number_theory_192953\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008538.lean\",\"f5e6ef075fa01a6fa8dfc791cec4425b10ccddec4c7dc203637fc6503581996f\",0,\"algebra_94581\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008539.lean\",\"c873e471b8129667ec2f8080a5c409abe09331961296419b3d0bd964ac2fbd1a\",0,\"algebra_288849\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 859247,
+      "path": "data/train/p43/numina-001707-0000-7b917966cece7c5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 74,
+      "sha256": "7b917966cece7c5aac2b093a560995b1710375ea2d683543cd9b8d5164c19600"
+    },
+    {
+      "bytes": 97361,
+      "path": "data/train/p43/numina-001707-0001-c1c036cc62f4640b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c1c036cc62f4640bc9809722b252019d7776e05cd531eeb7c39741f4b622ce75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001708.json b/manifests/batches/numina/001708.json
index b413984bfd436a158ab2a09867939654c1603e0b..6cab655bda9de7db9e5ad986fa86da291c9e6320 100644
--- a/manifests/batches/numina/001708.json
+++ b/manifests/batches/numina/001708.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001708",
   "batch_fingerprint": "68c6d0a090ac7a1e8e28ee6ce344ecd1300fd69e5ad392a416a3d10bc0686e6d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001708-0000-210af8048c445acf.parquet",
-      "sha256": "210af8048c445acfeceddb458d3d3aa0ee64c260facbade5a8b222c654379a35",
-      "bytes": 229567,
-      "rows": 41,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/internal_test/numina-001708-0000-c39a8421e9ec6a46.parquet",
-      "sha256": "c39a8421e9ec6a463ffd631a1c0a5823f477889bb99c325d89de5c20b354531b",
-      "bytes": 199681,
-      "rows": 16,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:346eca0a-ec1b-55c3-a4df-1212eac88123",
     "numina:4eec1381-8671-5ef2-af4d-861234ba7f3d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008542.lean\",\"7333a9671120432f17ec310949c0e57ad90d17a5d7768a16f1c087ee87c00271\",0,\"number_theory_605990\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008543.lean\",\"2ec2d046fbc2f7e7c9875e8528eabc565120661f6a17af8555ee83dd8aa2f96f\",0,\"algebra_91063\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008544.lean\",\"0dce66ad05478e9e4823c7430d78d9ee6db8ee6941a7687335ca821dce1a70ae\",0,\"algebra_93047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229567,
+      "path": "data/train/p6d/numina-001708-0000-210af8048c445acf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "210af8048c445acfeceddb458d3d3aa0ee64c260facbade5a8b222c654379a35"
+    },
+    {
+      "bytes": 199681,
+      "path": "data/internal_test/p6d/numina-001708-0000-c39a8421e9ec6a46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c39a8421e9ec6a463ffd631a1c0a5823f477889bb99c325d89de5c20b354531b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001709.json b/manifests/batches/numina/001709.json
index 7ca5a0c72b879e6c69237e53cf9533eafac17e69..361de694df6cadb4f0e94e3ca2d31217e246af03 100644
--- a/manifests/batches/numina/001709.json
+++ b/manifests/batches/numina/001709.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001709",
   "batch_fingerprint": "6dbe6cd885eacaaeb59b3bda6be1b97a6798baaa17bb735d728b6f5d17839f05",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001709-0000-3e40092218014ef2.parquet",
-      "sha256": "3e40092218014ef281b7eb024eead8f2a4699565d9f30c30a4473cf3208384b5",
-      "bytes": 590275,
-      "rows": 50,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/numina-001709-0000-e7487d2bf1aaee00.parquet",
-      "sha256": "e7487d2bf1aaee00479f224085dc2a29815314ab7d1cb1c1d629a19878f3b9b1",
-      "bytes": 175697,
-      "rows": 3,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4518cc0a-17a6-5025-8457-207dada98e05",
     "numina:45a390d8-0d19-5d02-b1cc-0641f4fc14e4",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008547.lean\",\"47e6179879e874cec254cfa5e749bf081f64a8f6d812c118ecefda66db266e3b\",0,\"inequalities_239559\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008548.lean\",\"195a397d7254c44229a481f0020e8e138e8c22d0902f55913915b36f953b020e\",0,\"inequalities_108741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008549.lean\",\"0d6a00c5d564a9de9392ac58b7fcc592990d8dbf014b12be3b8477bd883c69a2\",0,\"number_theory_23923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590275,
+      "path": "data/train/pc3/numina-001709-0000-3e40092218014ef2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "3e40092218014ef281b7eb024eead8f2a4699565d9f30c30a4473cf3208384b5"
+    },
+    {
+      "bytes": 175697,
+      "path": "data/dev/pc3/numina-001709-0000-e7487d2bf1aaee00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e7487d2bf1aaee00479f224085dc2a29815314ab7d1cb1c1d629a19878f3b9b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001710.json b/manifests/batches/numina/001710.json
index f4bd91a55434a25099650847653a06afa0b4de53..e53c10125f679560ed8ea2886a1a3f19ae83f640 100644
--- a/manifests/batches/numina/001710.json
+++ b/manifests/batches/numina/001710.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001710",
   "batch_fingerprint": "bea375886e1b5b6b71e938b8c17179bd1b36daca96c934fad446e97f4f76ce2f",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:32033c3d-6a9b-5ffe-8f8f-9f2d4d446e2b",
+    "numina:799a1797-1285-5a94-8e64-d92574dcf8f1",
+    "numina:878969a1-6f3c-5b1e-851e-c567cbb52a14",
+    "numina:c3d7ea8c-8d41-5d13-a8b8-0d131358c96b",
+    "numina:e96459ea-9981-5193-8d10-3e541a130f6e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008550.lean\",\"c545891e66602652e4fe31c65b1008e1db39157400d3aabc554cd9d99004b46e\",0,\"algebra_609006\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008551.lean\",\"68dc5fa2cfd67119b24eb6efe44721696c1831393a0d305a41c73de0d5e29379\",0,\"algebra_20698\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008552.lean\",\"58232d723291c23c870c53cdc1a6e98e7cfbee23843e90ca7aab5af463a9ae7e\",0,\"algebra_302945\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008553.lean\",\"8ec6014933be7f5f1fff1df91a501ee914b91162476396deddaff05dc53a3889\",0,\"inequalities_603949\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008554.lean\",\"1690417a6ab81fcd173b3bde6757f9b62d7a6ccd24e038f734a84755390fd2de\",0,\"number_theory_5007\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001710-0000-a7dc32662db26e8a.parquet",
-      "sha256": "a7dc32662db26e8ada05df4d568f09e4c7bd4d0838c9dcbd8bc56951f96e0918",
       "bytes": 723666,
+      "path": "data/train/p6e/numina-001710-0000-a7dc32662db26e8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 58,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
+      "sha256": "a7dc32662db26e8ada05df4d568f09e4c7bd4d0838c9dcbd8bc56951f96e0918"
     },
     {
-      "path": "data/train/numina-001710-0001-e1e139df99a373ea.parquet",
-      "sha256": "e1e139df99a373eac187515ccea058d6b84af75add76a0bbe0a142a9613539b3",
       "bytes": 777714,
+      "path": "data/train/p6e/numina-001710-0001-e1e139df99a373ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
+      "sha256": "e1e139df99a373eac187515ccea058d6b84af75add76a0bbe0a142a9613539b3"
     },
     {
-      "path": "data/train/numina-001710-0002-5302ae6dec9bfa6e.parquet",
-      "sha256": "5302ae6dec9bfa6ec8d1bb5b6a2985ab418bb19b513c833ccd05a3b6499a6d21",
       "bytes": 418972,
+      "path": "data/train/p6e/numina-001710-0002-5302ae6dec9bfa6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 38,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
+      "sha256": "5302ae6dec9bfa6ec8d1bb5b6a2985ab418bb19b513c833ccd05a3b6499a6d21"
     },
     {
-      "path": "data/internal_test/numina-001710-0000-c36712802f6b07f5.parquet",
-      "sha256": "c36712802f6b07f5cf4bbd7f0184006bec3dc9d05d0ae93f50165fe793f02435",
       "bytes": 72476,
+      "path": "data/internal_test/p6e/numina-001710-0000-c36712802f6b07f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "9ff18b07850740cfc97fd25ddf14141c381e9716"
+      "sha256": "c36712802f6b07f5cf4bbd7f0184006bec3dc9d05d0ae93f50165fe793f02435"
     }
-  ],
-  "proof_ids": [
-    "numina:32033c3d-6a9b-5ffe-8f8f-9f2d4d446e2b",
-    "numina:799a1797-1285-5a94-8e64-d92574dcf8f1",
-    "numina:878969a1-6f3c-5b1e-851e-c567cbb52a14",
-    "numina:c3d7ea8c-8d41-5d13-a8b8-0d131358c96b",
-    "numina:e96459ea-9981-5193-8d10-3e541a130f6e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008550.lean\",\"c545891e66602652e4fe31c65b1008e1db39157400d3aabc554cd9d99004b46e\",0,\"algebra_609006\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008551.lean\",\"68dc5fa2cfd67119b24eb6efe44721696c1831393a0d305a41c73de0d5e29379\",0,\"algebra_20698\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008552.lean\",\"58232d723291c23c870c53cdc1a6e98e7cfbee23843e90ca7aab5af463a9ae7e\",0,\"algebra_302945\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008553.lean\",\"8ec6014933be7f5f1fff1df91a501ee914b91162476396deddaff05dc53a3889\",0,\"inequalities_603949\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008554.lean\",\"1690417a6ab81fcd173b3bde6757f9b62d7a6ccd24e038f734a84755390fd2de\",0,\"number_theory_5007\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001711.json b/manifests/batches/numina/001711.json
index 1e939cdd3c70bd46c356c9669a85e3b4804d6096..771befe58ba3ed0c7f55f1c7cc79df4835804754 100644
--- a/manifests/batches/numina/001711.json
+++ b/manifests/batches/numina/001711.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001711",
   "batch_fingerprint": "6692f983f9378f12ae4c96c7cc978d7649ab3127173a3302197be88e7c848214",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001711-0000-c2846830554be534.parquet",
-      "sha256": "c2846830554be53466cfca50b3cd486aaaba8edb1440f5f59fb25d5cd78d4870",
-      "bytes": 419661,
-      "rows": 39,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:052d5199-eccf-5193-a8da-898e228638f6",
     "numina:2b7a5032-8857-5b1f-963d-0c740ae2f926",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008557.lean\",\"6317a86d7e0ec52a43b02516e899d1de35826c88acd8c21e11fe501709fb186f\",0,\"inequalities_192965\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008558.lean\",\"899bd6dcf185485d2fd58ca7440c8abcd4a80525fad5e5b833b2c92d3a17dc80\",0,\"algebra_108757\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008559.lean\",\"3ff32e078a16f5563c979c064efd3fc8ce0d49ff869bc770805a5fe6f4329d71\",0,\"algebra_14532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419661,
+      "path": "data/train/pf2/numina-001711-0000-c2846830554be534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "c2846830554be53466cfca50b3cd486aaaba8edb1440f5f59fb25d5cd78d4870"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001712.json b/manifests/batches/numina/001712.json
index ba93a9eed93e3b484a549f0de6afa6adfb325251..6266876c962613f69ecc0c0e7f018e50acddb35d 100644
--- a/manifests/batches/numina/001712.json
+++ b/manifests/batches/numina/001712.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001712",
   "batch_fingerprint": "351e07132938d57c5ee257a23e56fd0445dcd379b550a22c4d01eef565eb8231",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001712-0000-54fc143b429e85c2.parquet",
-      "sha256": "54fc143b429e85c2cbd5584591e96439b8e3193aad43ee7131a2f12ae04bccbd",
-      "bytes": 436459,
-      "rows": 28,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    },
-    {
-      "path": "data/dev/numina-001712-0000-21c8d643d8563dad.parquet",
-      "sha256": "21c8d643d8563dad6923aa3d3b440387e336987e2ec6dc51fa88c09e02d004e6",
-      "bytes": 54909,
-      "rows": 10,
-      "revision": "34129941c6ac2ab170e25177d28016f06037ca1d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:03fe8450-699b-5034-ab1e-5586242ff687",
     "numina:2e7a2f08-e74f-551a-96e6-f3b952070a08",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008562.lean\",\"9547385fcfc71afae9972173ccc33b0cb6505a1e277c8f947b5264b915334ad6\",0,\"algebra_303046\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008563.lean\",\"2cfb440c7702a2a8cd7fae670ed8156c5111d1d1477e343c09d0162be3c0f7ab\",0,\"algebra_20700\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008564.lean\",\"8e694fe2c7a2857868dcea02032b6bfec736488294b4abef63f7d4e19e1b8ae4\",0,\"inequalities_603985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436459,
+      "path": "data/train/pe4/numina-001712-0000-54fc143b429e85c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "54fc143b429e85c2cbd5584591e96439b8e3193aad43ee7131a2f12ae04bccbd"
+    },
+    {
+      "bytes": 54909,
+      "path": "data/dev/pe4/numina-001712-0000-21c8d643d8563dad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "21c8d643d8563dad6923aa3d3b440387e336987e2ec6dc51fa88c09e02d004e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001713.json b/manifests/batches/numina/001713.json
index 36652172a1ad20c2eac983a31cf4ad3ed7c0ffc6..ab2d43a7a6b6dc784ae068cf343fce2e1b466f08 100644
--- a/manifests/batches/numina/001713.json
+++ b/manifests/batches/numina/001713.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001713",
   "batch_fingerprint": "ee55622e8d2bd07bce7170d248c1816316c2abe1acc9ad586774efa639a74691",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001713-0000-57894cba247f49a5.parquet",
-      "sha256": "57894cba247f49a52e58c15e5db0b992445c2ab098d7845518301808ec6413b4",
-      "bytes": 521222,
-      "rows": 103,
-      "revision": "b96ea3ac34986c0634bdac2f3de87f63e6a5bfe5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:02f799b6-08c6-5c86-b19c-fd2c1a0bf5bf",
     "numina:21e22d32-4904-5a27-b74d-c98aeaf28165",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008566.lean\",\"ec624544d47ef063a025f3fd5c31027ab5dea4c9cf2d545c765de7429ca4375f\",0,\"algebra_5642\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008567.lean\",\"ac6c365d87d28560a78576ce1899699fa6d56726366b7469df81aa0a2b745863\",0,\"number_theory_108828\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008569.lean\",\"93bde9164ce05a091ac786c9fae13267e542e6116b48c09ea37ba3fdf6a2e6a3\",0,\"algebra_608040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521222,
+      "path": "data/train/paa/numina-001713-0000-57894cba247f49a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 103,
+      "sha256": "57894cba247f49a52e58c15e5db0b992445c2ab098d7845518301808ec6413b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001714.json b/manifests/batches/numina/001714.json
index 30413fd8641a7514d30f7c0252fddecaece8dccf..aec5c8925058151a58679bf56a38011f8d21c28d 100644
--- a/manifests/batches/numina/001714.json
+++ b/manifests/batches/numina/001714.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001714",
   "batch_fingerprint": "66ab65262ffa8ba6faa202f492e195721ee0b3dd704e41e769ea2b150af67e67",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001714-0000-b68602b6cb725e3c.parquet",
-      "sha256": "b68602b6cb725e3c87f42a0b18aee12b996199e9307bcfdd67801909f090e998",
-      "bytes": 232419,
-      "rows": 34,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2d9aa016-5f46-5565-adc7-909f153c5351",
     "numina:44bb8483-9257-5f4c-bc80-ddc351eb92af",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008572.lean\",\"42b6951862cc8572f5d1384742614336ba2cd1088b6b758b38cdde31d6bd3c98\",0,\"alg_1195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008573.lean\",\"c3306cc699daf929397c17d9244807d91d7b57daff6ab45d4214c97f2d43efeb\",0,\"calculus_128020\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008574.lean\",\"1691ea890f43109bb52946038b63eda82e7740d60d42e9b80201d7a8cee0e0cd\",0,\"number_theory_5645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232419,
+      "path": "data/train/pff/numina-001714-0000-b68602b6cb725e3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "b68602b6cb725e3c87f42a0b18aee12b996199e9307bcfdd67801909f090e998"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001715.json b/manifests/batches/numina/001715.json
index 8523c8730392e5ef93e3c0d694ccc772ad3446be..501391e3f9dcec115eabdf14badaa300be6ea4bd 100644
--- a/manifests/batches/numina/001715.json
+++ b/manifests/batches/numina/001715.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001715",
   "batch_fingerprint": "9ba0c424c5ea82d477ff1a8f5f45c3d393f319312df6c526df9d5a79621e6836",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001715-0000-4aaacda21f437433.parquet",
-      "sha256": "4aaacda21f437433289b8c740843041a29fbebc0634d297fb172902abc0a1e52",
-      "bytes": 664039,
-      "rows": 34,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:364be8f1-7c13-5c23-8269-1067ca7f244b",
     "numina:60bbe692-050c-55a3-87f4-ce460a1e63cf",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008577.lean\",\"6487881c0672d6039ec3839d13603c0acca56b8f49df5909ea9b28f56c20d21e\",0,\"algebra_106814\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008578.lean\",\"0ce7a4d799a1c98e7cfc66a8d4e6874b4908271a0b7cab7fa05f610d9e12a3de\",0,\"number_theory_23791\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008579.lean\",\"a493fac818b9323cef583a87840f712022d15f8ea49d03c32400f5913b21f8a4\",0,\"number_theory_64876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 664039,
+      "path": "data/train/p54/numina-001715-0000-4aaacda21f437433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "4aaacda21f437433289b8c740843041a29fbebc0634d297fb172902abc0a1e52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001716.json b/manifests/batches/numina/001716.json
index 67db176ef89a045c464da7222888f350c1f0cb21..85592a2e6be3ae1ad3e1996ec8e6c0f16bcb6695 100644
--- a/manifests/batches/numina/001716.json
+++ b/manifests/batches/numina/001716.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001716",
   "batch_fingerprint": "38b2f1b8781c22850f1c70fbb0c7fac0a77884d5a232774cb2dbcbefc0c02df5",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001716-0000-8dcab9b9542fead5.parquet",
-      "sha256": "8dcab9b9542fead5beaf2819bec3f85a17b53b79a9b3354b2395f715b0070471",
-      "bytes": 124085,
-      "rows": 23,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6369b437-b81a-53a6-b344-94540c67e182",
     "numina:991e5429-ad25-5df7-9ac9-563bcabcc7db",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008582.lean\",\"be3ee98840dea19d77d6b9463c306e09837b4f830f545042d12ff78a9946b937\",0,\"number_theory_6132\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008583.lean\",\"8f6b81b34b056c6cd68e3feb3c172ad53aadf30ffd7d221e31a5873f6e533ccb\",0,\"number_theory_22838\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008584.lean\",\"bd02b4b825f4ce7d6f68d29900a1a7dbe0e0bdc14d0f5a10d56d037265a4d999\",0,\"number_theory_18638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124085,
+      "path": "data/train/p89/numina-001716-0000-8dcab9b9542fead5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8dcab9b9542fead5beaf2819bec3f85a17b53b79a9b3354b2395f715b0070471"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001717.json b/manifests/batches/numina/001717.json
index d5c7910306fb12711178e99ef3a7f3872122e2f8..652f68067a9b05a9f70310cfd39faabb12dcdbb1 100644
--- a/manifests/batches/numina/001717.json
+++ b/manifests/batches/numina/001717.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001717",
   "batch_fingerprint": "cf81c64f2850e808810e57ac4b744f4d2657344771a960e54afecc22e8367ff4",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001717-0000-598135481cd9a3f7.parquet",
-      "sha256": "598135481cd9a3f73bdaa0c76981c82e0573baa18d903b709fb8f73419159a81",
-      "bytes": 614346,
-      "rows": 32,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/numina-001717-0000-32c497771f1237ba.parquet",
-      "sha256": "32c497771f1237baddc496dd429d65312d65bfc49f0a3893ef8331411b3bbbf2",
-      "bytes": 83804,
-      "rows": 3,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/numina-001717-0000-0214a9fcba29a80c.parquet",
-      "sha256": "0214a9fcba29a80c89cda1ac6acd7034cd48fbe66ba9ea41c4d3c5e703749720",
-      "bytes": 45472,
-      "rows": 6,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e1232d6-f4f3-5f1d-b258-74a14713ca77",
     "numina:7273f285-d5c3-55dc-9511-5e09ac0df0ef",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008587.lean\",\"c49959b297284f6335c646af5fca47f253eabca87c27683144c9c6bebab1b0ae\",0,\"inequalities_604157\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008588.lean\",\"2f5990df8fc2fa9c0cec82c253cda4ad6c50af4e2053eae094f4485c2ec4f4f9\",0,\"algebra_95182\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008589.lean\",\"e095764ff580b4073f477f110f6e6e9bf92c2252634f08b2cd82bf303de07ee3\",0,\"algebra_174457\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 614346,
+      "path": "data/train/p94/numina-001717-0000-598135481cd9a3f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "598135481cd9a3f73bdaa0c76981c82e0573baa18d903b709fb8f73419159a81"
+    },
+    {
+      "bytes": 83804,
+      "path": "data/dev/p94/numina-001717-0000-32c497771f1237ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "32c497771f1237baddc496dd429d65312d65bfc49f0a3893ef8331411b3bbbf2"
+    },
+    {
+      "bytes": 45472,
+      "path": "data/internal_test/p94/numina-001717-0000-0214a9fcba29a80c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0214a9fcba29a80c89cda1ac6acd7034cd48fbe66ba9ea41c4d3c5e703749720"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001718.json b/manifests/batches/numina/001718.json
index e5a3b521a33ee58edb9565db312d1366a449afe5..e52fd9ff638f4f59a3bf9450031a0093baa1df01 100644
--- a/manifests/batches/numina/001718.json
+++ b/manifests/batches/numina/001718.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001718",
   "batch_fingerprint": "1217724d07433a11f34bdc1be5b09e0c4babee5c8f6b495fab8fd87230e57c32",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001718-0000-ae16ae7afec0ff59.parquet",
-      "sha256": "ae16ae7afec0ff59f1f17a45cdc5dfa1e757ab5f815eddf306805bea9a06d2af",
-      "bytes": 792609,
-      "rows": 19,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/train/numina-001718-0001-979c0e068630721c.parquet",
-      "sha256": "979c0e068630721c101cbcf8351446106dab97fe8172f62d603c55e03b20c4c0",
-      "bytes": 312962,
-      "rows": 17,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/train/numina-001718-0002-fca9f5592517500c.parquet",
-      "sha256": "fca9f5592517500c7038fd2aaa3e7076b0d52da543ba68c624649104cfa63f2f",
-      "bytes": 609750,
-      "rows": 10,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f5a0da8-36e2-5c09-a7a9-ab0b8fd39f6c",
     "numina:56b9bcff-f33c-59b4-b5f1-e354b873d1b3",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008592.lean\",\"2ad8dfa79903a57e41228836bbac0709dc3516d8b56594412fb363fecd0d95b4\",0,\"inequalities_204545\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008593.lean\",\"035784a5bff5abe95d2de156f7f565d74f4dbc14b21bbe2200c3083e0224d313\",0,\"number_theory_604164\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008594.lean\",\"4004d5f48bdc74f8fc2efbd4e5fefae17b9c2cd33e18fb77941cb973306947ac\",0,\"algebra_95191\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 792609,
+      "path": "data/train/p6a/numina-001718-0000-ae16ae7afec0ff59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ae16ae7afec0ff59f1f17a45cdc5dfa1e757ab5f815eddf306805bea9a06d2af"
+    },
+    {
+      "bytes": 312962,
+      "path": "data/train/p6a/numina-001718-0001-979c0e068630721c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "979c0e068630721c101cbcf8351446106dab97fe8172f62d603c55e03b20c4c0"
+    },
+    {
+      "bytes": 609750,
+      "path": "data/train/p6a/numina-001718-0002-fca9f5592517500c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fca9f5592517500c7038fd2aaa3e7076b0d52da543ba68c624649104cfa63f2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001719.json b/manifests/batches/numina/001719.json
index 1d295b19a69678f45632ca8951866c48f5bb9844..a1c21dbe0d9620462f78a97b52739adc412c3325 100644
--- a/manifests/batches/numina/001719.json
+++ b/manifests/batches/numina/001719.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001719",
   "batch_fingerprint": "691e10d864336cde9859d7b4a00e3430bd4f6ea19752df13e4ad7a560c344077",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001719-0000-daf2cd02242903bf.parquet",
-      "sha256": "daf2cd02242903bf1c6f94344d27b6cc13ec0469e11a8b393c2319a8542be591",
-      "bytes": 345157,
-      "rows": 22,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/numina-001719-0000-d1cd9b23fc01246f.parquet",
-      "sha256": "d1cd9b23fc01246f3e4e9d1aadb70e0f93199e2ad427d2c9dd5a7f76b9c41732",
-      "bytes": 668308,
-      "rows": 33,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:16a8b838-f050-5843-89e5-b7436a326d88",
     "numina:1bc96599-a3e8-5e48-b284-6020110ba92f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008597.lean\",\"af9a5ff5fd185c48d0e537105a3416758d30b289c492997ccd4ccc14f4d94274\",0,\"inequalities_107004\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008598.lean\",\"e3d2a557f359a1af108695ff07aa663626685737e906fbbc989a75b16e065564\",0,\"inequalities_23797\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008599.lean\",\"143245ba3088ea40c32304b30fb1de2b3da4298a0270fefd3b84165b6da23dde\",0,\"algebra_301437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345157,
+      "path": "data/train/pdd/numina-001719-0000-daf2cd02242903bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "daf2cd02242903bf1c6f94344d27b6cc13ec0469e11a8b393c2319a8542be591"
+    },
+    {
+      "bytes": 668308,
+      "path": "data/dev/pdd/numina-001719-0000-d1cd9b23fc01246f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d1cd9b23fc01246f3e4e9d1aadb70e0f93199e2ad427d2c9dd5a7f76b9c41732"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001720.json b/manifests/batches/numina/001720.json
index 70a9ce95fe3bc080ee35de83853fbe5598731ec0..b43581c68e75c052c170a346b052fbc848f34a57 100644
--- a/manifests/batches/numina/001720.json
+++ b/manifests/batches/numina/001720.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001720",
   "batch_fingerprint": "317392dfa3dc4d5cfd94a91f806ac8301da689bb286a6524e8abb4e7f9b72c7e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001720-0000-8dfcf49616b26858.parquet",
-      "sha256": "8dfcf49616b2685874553bd163fb8c1efa535a5ffadde5e4e40fb48e80da84c6",
-      "bytes": 130798,
-      "rows": 12,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/dev/numina-001720-0000-2ac3adbf1c6d6344.parquet",
-      "sha256": "2ac3adbf1c6d6344fad52b1959cf83ad92bfc31e477aa97e8f1691f941d16bfb",
-      "bytes": 32488,
-      "rows": 2,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/internal_test/numina-001720-0000-6a19c02029a24c0f.parquet",
-      "sha256": "6a19c02029a24c0f7b1f1f513df5e2b035a81d284c4c1c324c5e88ec93f9e33a",
-      "bytes": 95827,
-      "rows": 8,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:24cf7f4e-22d6-5d52-92fc-7c15a745ff60",
     "numina:5a7a8a71-cf69-5200-80cf-703dbff51a2e",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008602.lean\",\"c6a73041d3efb7dc9c803b61038aa65455da5c740ee1293cf55efb0b8c578a11\",0,\"number_theory_4644\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008603.lean\",\"cebd65b5aee3da15a0d303f22f278caea99ec3d8c7cc1b36edd811d10db175a3\",0,\"calculus_22506\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008604.lean\",\"ab4fd77bed116577215c2071febbbf945c8bb345aa25fc078408373040b8924d\",0,\"algebra_14646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130798,
+      "path": "data/train/pa0/numina-001720-0000-8dfcf49616b26858.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8dfcf49616b2685874553bd163fb8c1efa535a5ffadde5e4e40fb48e80da84c6"
+    },
+    {
+      "bytes": 32488,
+      "path": "data/dev/pa0/numina-001720-0000-2ac3adbf1c6d6344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2ac3adbf1c6d6344fad52b1959cf83ad92bfc31e477aa97e8f1691f941d16bfb"
+    },
+    {
+      "bytes": 95827,
+      "path": "data/internal_test/pa0/numina-001720-0000-6a19c02029a24c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6a19c02029a24c0f7b1f1f513df5e2b035a81d284c4c1c324c5e88ec93f9e33a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001721.json b/manifests/batches/numina/001721.json
index 260c238140adcde9018a402f1ea4bd569e87ea51..73edefdc83ffe210183ce0ffab0eab2b7a4eeef2 100644
--- a/manifests/batches/numina/001721.json
+++ b/manifests/batches/numina/001721.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001721",
   "batch_fingerprint": "8e1cf5f5ef19f557db7fa9b45c17d7db65ebdcbde3c0aaecc861d2498e738f31",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001721-0000-125188c9937cd1f7.parquet",
-      "sha256": "125188c9937cd1f7f2a0af64930ec5a71954dc4373f57018686453dd46d6e44d",
-      "bytes": 658403,
-      "rows": 26,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/train/numina-001721-0001-733472e5165cfc54.parquet",
-      "sha256": "733472e5165cfc54abf417b135c64b47ca0dd25a3502fc7bfc5b289406ee7a63",
-      "bytes": 402630,
-      "rows": 24,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4097ccb2-ee2c-5e0d-8bea-00c2ce5c51e7",
     "numina:6cd3bbfa-f4cc-5598-94ee-25d942480a87",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008607.lean\",\"47fa45663632b0c2afd470f80424b48e7bacc435b024ef75a360376179d6acee\",0,\"algebra_291119\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008608.lean\",\"c3cefa970442f611eebe094e66efc7837b4d2d0a7fd6fcee23557e8dc3cce7cf\",0,\"inequalities_291912\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008609.lean\",\"3efb8c4ec349b34b4f4137f39ec668e603b40acd09ce7f3d1ddb95689e87f75c\",0,\"algebra_262352\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 658403,
+      "path": "data/train/p3e/numina-001721-0000-125188c9937cd1f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "125188c9937cd1f7f2a0af64930ec5a71954dc4373f57018686453dd46d6e44d"
+    },
+    {
+      "bytes": 402630,
+      "path": "data/train/p3e/numina-001721-0001-733472e5165cfc54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "733472e5165cfc54abf417b135c64b47ca0dd25a3502fc7bfc5b289406ee7a63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001722.json b/manifests/batches/numina/001722.json
index 6ad7c0175665f0f5eea64ad56bc633656569f925..6ed16d8f928d2a9b20fe5512bf75496e41df30a6 100644
--- a/manifests/batches/numina/001722.json
+++ b/manifests/batches/numina/001722.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001722",
   "batch_fingerprint": "5cff429e965428562b9e6147cb626cf2f6619e5c01d47c415633e0b61439374a",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001722-0000-857b068f3d7c3a10.parquet",
-      "sha256": "857b068f3d7c3a10c1627461d9092151b1e3f3c062ec48221c035c6797827bed",
-      "bytes": 797401,
-      "rows": 45,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/train/numina-001722-0001-218813a0509411ed.parquet",
-      "sha256": "218813a0509411ed2c7d64db73e9bc828cc47c9ae4ca6d6a07bfa398fd18b7bc",
-      "bytes": 181066,
-      "rows": 11,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    },
-    {
-      "path": "data/internal_test/numina-001722-0000-8781fd0845b79b85.parquet",
-      "sha256": "8781fd0845b79b851042c854c098ccb863f21a796193716e4c06cfedfcbf8bd2",
-      "bytes": 1697283,
-      "rows": 6,
-      "revision": "e74e56bb3e2f31fff938f95654e727681258798d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:521f4860-27a5-5b9e-9147-decfb7f076a3",
     "numina:7ec136d2-57cd-534c-9a16-6053f50b8c02",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008612.lean\",\"73217dbd5ca81cd01564d2379f4402905198ba237ace0170b3648c23ec02be9d\",0,\"inequalities_102198\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008613.lean\",\"98484d3a19666c31a737818a771703a53994a8fc1c3f4c43d32668446fc14466\",0,\"algebra_170338\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008614.lean\",\"c5ab6b58f1a2516e44904cd6530aaf850bff4b5405cea23acd59b7806ddd973f\",0,\"algebra_320940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 797401,
+      "path": "data/train/p2e/numina-001722-0000-857b068f3d7c3a10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "857b068f3d7c3a10c1627461d9092151b1e3f3c062ec48221c035c6797827bed"
+    },
+    {
+      "bytes": 181066,
+      "path": "data/train/p2e/numina-001722-0001-218813a0509411ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "218813a0509411ed2c7d64db73e9bc828cc47c9ae4ca6d6a07bfa398fd18b7bc"
+    },
+    {
+      "bytes": 1697283,
+      "path": "data/internal_test/p2e/numina-001722-0000-8781fd0845b79b85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8781fd0845b79b851042c854c098ccb863f21a796193716e4c06cfedfcbf8bd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001723.json b/manifests/batches/numina/001723.json
index a430fbead1e0fc714da948da96ca09acb3523952..aa1acfd028f102000546933cd5784f359828d5d6 100644
--- a/manifests/batches/numina/001723.json
+++ b/manifests/batches/numina/001723.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001723",
   "batch_fingerprint": "e1669c8d3d931cc4fb7a5e55ed0b75466631c0abafbb4e4c03acf5d580bf27ee",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001723-0000-b83e1bfcad0b1f24.parquet",
-      "sha256": "b83e1bfcad0b1f2477288ee9e9bc536cf1a7b5600519b259a5b0857597f6a1fd",
-      "bytes": 600490,
-      "rows": 43,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    },
-    {
-      "path": "data/train/numina-001723-0001-18683dfac58fc4d3.parquet",
-      "sha256": "18683dfac58fc4d39f26d9b94b306e3490e6e78d06f0684e9d666855c63ac904",
-      "bytes": 426133,
-      "rows": 17,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2f8ffbe7-8813-5946-8072-1ad7560edf0a",
     "numina:5467b2a3-47fa-5bc3-9326-b369282edd01",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008617.lean\",\"a9f6e21160364d8a67de2df69c3a8acf2a55fafe176410cf51c2b287f7b00ce2\",0,\"algebra_184863\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008618.lean\",\"b75d919757bdbb9fb411bb86a1f4147f76da7590abee4b016ad6344d69ec39c7\",0,\"number_theory_19250\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008619.lean\",\"61a19fa79779092eeaf405608d263daa7fd5d15c11631f579e0c787d76706db3\",0,\"calculus_150847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 600490,
+      "path": "data/train/p59/numina-001723-0000-b83e1bfcad0b1f24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "b83e1bfcad0b1f2477288ee9e9bc536cf1a7b5600519b259a5b0857597f6a1fd"
+    },
+    {
+      "bytes": 426133,
+      "path": "data/train/p59/numina-001723-0001-18683dfac58fc4d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "18683dfac58fc4d39f26d9b94b306e3490e6e78d06f0684e9d666855c63ac904"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001724.json b/manifests/batches/numina/001724.json
index 1f931387145c7e3daabcd31f5b213aa420948f74..bb4016ae4cbf3979c8b9ae47f1d2173d62a50b62 100644
--- a/manifests/batches/numina/001724.json
+++ b/manifests/batches/numina/001724.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001724",
   "batch_fingerprint": "dce2df16e6ff2f029a671acd0668c44ef1a37c1e1e05c067d514f7c3573f1367",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001724-0000-e14ebdeb5a8fae58.parquet",
-      "sha256": "e14ebdeb5a8fae58b81f5428e6b21f5f1e8b98663a10ac0952c0a82ffc65a59b",
-      "bytes": 315878,
-      "rows": 37,
-      "revision": "4e6957946d29f90392feedffe136bfc8d4f0e20c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a1a5364-8755-5c7f-a135-1028400fea17",
     "numina:a97d7d19-0bee-5777-80a0-1f625ec5efad",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008622.lean\",\"57b02edd2dda784965c5bf14a1a7b416b824a17868f5ab43840a1790bf3a84da\",0,\"number_theory_292133\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008623.lean\",\"790b0ac4851dded9d6728d8f04e8390f69073443de822bbf5fff82300611beda\",0,\"algebra_20871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008624.lean\",\"404c953e4332ae2af9a57d6ecf38c84bd7e538ad55a98730137655c342b3fd79\",0,\"algebra_184870\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315878,
+      "path": "data/train/p98/numina-001724-0000-e14ebdeb5a8fae58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "e14ebdeb5a8fae58b81f5428e6b21f5f1e8b98663a10ac0952c0a82ffc65a59b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001725.json b/manifests/batches/numina/001725.json
index 851e0dd3b42a5e282f11c4cc381171f625404c62..87bcaea121403f8a40b6ee77f2f0695d1198d300 100644
--- a/manifests/batches/numina/001725.json
+++ b/manifests/batches/numina/001725.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001725",
   "batch_fingerprint": "d97c707de9a101c4dfb4170b5ece8cb6db37393366682d6299cd1458aa4a4c3a",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001725-0000-ced8bc98f47a7186.parquet",
-      "sha256": "ced8bc98f47a71863245b04bf5a05dfb216f025cc854faa93e9a30bad2e9d22d",
-      "bytes": 427263,
-      "rows": 26,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:61c6d911-29f5-58c6-a7be-1ad3920e79b6",
     "numina:9111a18b-2146-5f68-a841-1d5d890832a2",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008627.lean\",\"e1353adfa8b139cd3de8c014839d98cd39107ff26c4d839500be037b4edea66f\",0,\"algebra_262529\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008628.lean\",\"410aebc0679dd246b4d49a5a346d0439ff61f39f3cf8073021d80f3be3b3a465\",0,\"number_theory_320993\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008629.lean\",\"15e3f512048892a47ecabf3b823ecaf28cb495864c0a575141689f34233df8c7\",0,\"inequalities_597268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 427263,
+      "path": "data/train/p99/numina-001725-0000-ced8bc98f47a7186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ced8bc98f47a71863245b04bf5a05dfb216f025cc854faa93e9a30bad2e9d22d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001726.json b/manifests/batches/numina/001726.json
index f9c561a7d1aa3d0a79e02f1653c2d13b2c7b5170..ece89c3a57c924316883a6c5ce8ae7eefe58d8b5 100644
--- a/manifests/batches/numina/001726.json
+++ b/manifests/batches/numina/001726.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001726",
   "batch_fingerprint": "a4a6ce2f63334bbcc118b1a2189606dc1f9b2488013d9e47c135a3b08051f255",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001726-0000-00cc1192f90bc5da.parquet",
-      "sha256": "00cc1192f90bc5da74db5a9864538c910fb7aad89e64bca6e6c8b4547c84c8c4",
-      "bytes": 148970,
-      "rows": 16,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/numina-001726-0000-888e90a4757fa71d.parquet",
-      "sha256": "888e90a4757fa71d1bbebab643b46842001209d305fcbeb0feb01a7d46282667",
-      "bytes": 724635,
-      "rows": 45,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/numina-001726-0001-6b3ebfee10e2d87d.parquet",
-      "sha256": "6b3ebfee10e2d87db11b38add5ef38488f51deb446f2dd9cbc441cb40f4914fc",
-      "bytes": 96191,
-      "rows": 12,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26e5f340-53c9-54c5-8d50-7bc6cd1a93a7",
     "numina:38c594b7-3703-545e-9697-74196f1d59a0",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008632.lean\",\"ebab9058daaf56db85f1648dd2ac46e85458e4771a11cc1c92978db9f5e6086d\",0,\"number_Theory_53170\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008633.lean\",\"c8167a6667b88a5b659a775eb7db92103446367ff9d3b7e9dc5ceded948d2cb3\",0,\"number_theory_22787\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008634.lean\",\"924654677b0715cbea6b9a587f2b33dc0d6a53519596ff0a80a92c4965fc6352\",0,\"algebra_608468\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148970,
+      "path": "data/train/p1a/numina-001726-0000-00cc1192f90bc5da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "00cc1192f90bc5da74db5a9864538c910fb7aad89e64bca6e6c8b4547c84c8c4"
+    },
+    {
+      "bytes": 724635,
+      "path": "data/internal_test/p1a/numina-001726-0000-888e90a4757fa71d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "888e90a4757fa71d1bbebab643b46842001209d305fcbeb0feb01a7d46282667"
+    },
+    {
+      "bytes": 96191,
+      "path": "data/internal_test/p1a/numina-001726-0001-6b3ebfee10e2d87d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6b3ebfee10e2d87db11b38add5ef38488f51deb446f2dd9cbc441cb40f4914fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001727.json b/manifests/batches/numina/001727.json
index 287d418b15698d31af9ddc4e09d62ba7e08494c8..62dda768a2fe47f77c150fd2634dc98af8e06992 100644
--- a/manifests/batches/numina/001727.json
+++ b/manifests/batches/numina/001727.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001727",
   "batch_fingerprint": "18218a5cb8b6cce8f20339a593bb773f47ac4c2c70bc284a9b12c5e5152e1b7b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001727-0000-fec639b252428039.parquet",
-      "sha256": "fec639b252428039d2f3a43ec617a116df8e57eeef122c79f5f4bad2e8f4f845",
-      "bytes": 252171,
-      "rows": 37,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/dev/numina-001727-0000-9660252cfc9a16c9.parquet",
-      "sha256": "9660252cfc9a16c9972995209a7b62ed0c2d4a2964bd4ce6710945ebcd310455",
-      "bytes": 186903,
-      "rows": 7,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:230ef2df-7978-5cbf-8140-ec3c56f59344",
     "numina:5011e3a7-69b2-5b83-9638-63ffece197f9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008637.lean\",\"5a4174b200f8e8b668df18b1a63870b485420b7aa1ba884b2416e3322bab0521\",0,\"number_theory_611220\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008638.lean\",\"057b124643201248813ae6be6edf7905692c44dbfdfb705ae8a5a62ff35bd3a2\",0,\"number_theory_252158\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008639.lean\",\"2680348065a7a65b8a9d72a62fb0b766017e01c807db8019ad52eaf315e4f641\",0,\"number_theory_321068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252171,
+      "path": "data/train/p83/numina-001727-0000-fec639b252428039.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "fec639b252428039d2f3a43ec617a116df8e57eeef122c79f5f4bad2e8f4f845"
+    },
+    {
+      "bytes": 186903,
+      "path": "data/dev/p83/numina-001727-0000-9660252cfc9a16c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9660252cfc9a16c9972995209a7b62ed0c2d4a2964bd4ce6710945ebcd310455"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001728.json b/manifests/batches/numina/001728.json
index 666f00c76b70f8fd20554caff6475bbb5e3b38a8..5131140efb3decfcac939f2fba8bd0032d154f94 100644
--- a/manifests/batches/numina/001728.json
+++ b/manifests/batches/numina/001728.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001728",
   "batch_fingerprint": "0f26647c5ee1ecab7e1431a061d27cf0e51a265c181ebdebf7e6e10c65cbb23a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001728-0000-ff418f4af60cc2de.parquet",
-      "sha256": "ff418f4af60cc2de65139812012072bd4ba6d0e4523192294d0ad658af97af86",
-      "bytes": 171034,
-      "rows": 26,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/numina-001728-0000-63224c9bc7357ef1.parquet",
-      "sha256": "63224c9bc7357ef1079e2298a10719812f5f6e3c63c3935a81bb0e5bb12db644",
-      "bytes": 82922,
-      "rows": 9,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:512a782a-37c7-568d-8bc3-1b0700c8cedc",
     "numina:72211475-f48f-5e79-a5a1-445906af8e8d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008642.lean\",\"9d8fd92dff82a5c3f747436f74b29029c6361e92f2a4034c2c5009d1cdacf3d7\",0,\"number_theory_44855\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008643.lean\",\"0f849e10525d63fd88116c62c741a159b7038e334259eb7d5a5e5f1909e35f4d\",0,\"inequalities_221983\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008644.lean\",\"2cf4b063646df8c32502f24e3388d60fafd5e490d169530b8d42f4c44f4ac6be\",0,\"number_theory_137851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171034,
+      "path": "data/train/p71/numina-001728-0000-ff418f4af60cc2de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ff418f4af60cc2de65139812012072bd4ba6d0e4523192294d0ad658af97af86"
+    },
+    {
+      "bytes": 82922,
+      "path": "data/internal_test/p71/numina-001728-0000-63224c9bc7357ef1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "63224c9bc7357ef1079e2298a10719812f5f6e3c63c3935a81bb0e5bb12db644"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001729.json b/manifests/batches/numina/001729.json
index bc698e45801dd05ab2dd6606ae155153d75eccb0..53714f4f6d61ca603a2e1a44017e733250917c0e 100644
--- a/manifests/batches/numina/001729.json
+++ b/manifests/batches/numina/001729.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001729",
   "batch_fingerprint": "ac171f1102aab2ad50ca89a1a3178bbd9dff1db43e23e967cc6579b5899b1a65",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001729-0000-4ca32e97ea9dab29.parquet",
-      "sha256": "4ca32e97ea9dab297e9c29ff90bb746412ce54be8685428fb878fe77b8196a02",
-      "bytes": 456015,
-      "rows": 37,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/numina-001729-0000-8e35f7b03a3c4f19.parquet",
-      "sha256": "8e35f7b03a3c4f1991d823b5f34ef6cbcb509f89640de537180ac5b7a7167130",
-      "bytes": 475514,
-      "rows": 23,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30f6f264-f00e-5839-8214-c526748d6b80",
     "numina:5e1c73b9-73c6-5164-9532-a1671325ba09",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008647.lean\",\"596aa49de80faf1e9bb6e16f52f2c8b5fe6b7a259f3017980d2195bfe6f2b4c9\",0,\"algebra_252161\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008648.lean\",\"fa08c18ac7ad069b9a0d27fe784ac136be18d9e3157e80758d0f81841698cbea\",0,\"algebra_269636\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008649.lean\",\"bdf8126e18bd51e122c1680c8e22b6f2e33f73da7630d4f99839c4282fa8ac08\",0,\"algebra_20501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 456015,
+      "path": "data/train/pb5/numina-001729-0000-4ca32e97ea9dab29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "4ca32e97ea9dab297e9c29ff90bb746412ce54be8685428fb878fe77b8196a02"
+    },
+    {
+      "bytes": 475514,
+      "path": "data/internal_test/pb5/numina-001729-0000-8e35f7b03a3c4f19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8e35f7b03a3c4f1991d823b5f34ef6cbcb509f89640de537180ac5b7a7167130"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001730.json b/manifests/batches/numina/001730.json
index 44d6955780b28c4ea07ea2d7717285be3689d662..a8e3c9643100da3ffe03adf57e8891ac136703dd 100644
--- a/manifests/batches/numina/001730.json
+++ b/manifests/batches/numina/001730.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001730",
   "batch_fingerprint": "672a83ae2a29a431e399845a602d7fb7f2fa6dc37d0847db44dedb078b2afc1b",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001730-0000-1c74e7ae92ca41f2.parquet",
-      "sha256": "1c74e7ae92ca41f2fe272fba7f0a55f5fb352b54e1398f1e7241fb758fefe0da",
-      "bytes": 633818,
-      "rows": 23,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/dev/numina-001730-0000-92fe070288c9931d.parquet",
-      "sha256": "92fe070288c9931d5d0578a11d6df72072d5cafc715be249d644c530485e8cd8",
-      "bytes": 95777,
-      "rows": 17,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    },
-    {
-      "path": "data/internal_test/numina-001730-0000-0f28274735e6b018.parquet",
-      "sha256": "0f28274735e6b0188e5c4ec495f1f7608216f1e87ea023d396bdfc1c982d2224",
-      "bytes": 38714,
-      "rows": 6,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b782b87-0626-5549-ace2-eddec6db86a8",
     "numina:579ade00-9e47-58bd-bd19-27652da58cb6",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008652.lean\",\"cb2b6aafd3e7ecafbecf14c4d8da9f943230504ed05d55bfb7b5f0738bbd7697\",0,\"algebra_208286\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008653.lean\",\"f375968e615bd743a85039c9c917efa9ef681b646eb75cba58ca2da3f068b4a4\",0,\"number_theory_263317\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008654.lean\",\"efaf78364b6b8d1840ef0c21295c8baa6cbcff5dce6e96ea6342316171508470\",0,\"number_theory_94052\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 633818,
+      "path": "data/train/p23/numina-001730-0000-1c74e7ae92ca41f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "1c74e7ae92ca41f2fe272fba7f0a55f5fb352b54e1398f1e7241fb758fefe0da"
+    },
+    {
+      "bytes": 95777,
+      "path": "data/dev/p23/numina-001730-0000-92fe070288c9931d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "92fe070288c9931d5d0578a11d6df72072d5cafc715be249d644c530485e8cd8"
+    },
+    {
+      "bytes": 38714,
+      "path": "data/internal_test/p23/numina-001730-0000-0f28274735e6b018.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0f28274735e6b0188e5c4ec495f1f7608216f1e87ea023d396bdfc1c982d2224"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001731.json b/manifests/batches/numina/001731.json
index a973119c7eff509a717e6c228e173044b258903d..094678cfd702a8e07cd285d0571f18e7789204a3 100644
--- a/manifests/batches/numina/001731.json
+++ b/manifests/batches/numina/001731.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001731",
   "batch_fingerprint": "1aaef5009cf3d82052d2522adb4f22e6af18f4446b7c2bbbd46292203f484699",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001731-0000-804660d325ee394a.parquet",
-      "sha256": "804660d325ee394ab8a9974696a4dbae138c85c01bc924d96a5516ae9197c036",
-      "bytes": 198261,
-      "rows": 20,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5688be7b-fe29-5461-a9b8-ef84a4763f86",
     "numina:77c5ce33-d84e-5f53-b6d1-38a20f332dc2",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008657.lean\",\"6608b5c7671e38768577fb3753405ec33750432b1306b93c2746c3c3e925e418\",0,\"algebra_149236\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008658.lean\",\"3bd1911297c37ddf01ce1044d027220e55074f0794efdc8716a44de730bb880d\",0,\"fourth_root_value\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008659.lean\",\"ba5456bae0a3eddeb6fa0c6906445837e0f847c6302ce6eecb5e33107e1a90e2\",0,\"number_theory_22806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198261,
+      "path": "data/train/p48/numina-001731-0000-804660d325ee394a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "804660d325ee394ab8a9974696a4dbae138c85c01bc924d96a5516ae9197c036"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001732.json b/manifests/batches/numina/001732.json
index e718e38fd76fbe3896dd202b392f6fb656aaf5ff..abacd3adadd70f586265eb30394c56bff78cf5ad 100644
--- a/manifests/batches/numina/001732.json
+++ b/manifests/batches/numina/001732.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001732",
   "batch_fingerprint": "6e1d4e4603e0e6f8388913a4d89c273f04f6e4f0bfa9af15c687ba94d15e1f73",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001732-0000-ea430a91e97032be.parquet",
-      "sha256": "ea430a91e97032be3991c0fd3d070414e80f513f040d44d18174b7b2b46e2a65",
-      "bytes": 707385,
-      "rows": 65,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/numina-001732-0000-f9dfb2014419f81c.parquet",
-      "sha256": "f9dfb2014419f81ce850d892eecd99bb8d6a689fadb57b48d4b81c40b58b332e",
-      "bytes": 156168,
-      "rows": 5,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:12c743e4-bf60-5dfd-aa53-4dc9e1e9984e",
     "numina:27877b26-4808-5e9a-8fc3-eb2f5cf7d612",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008662.lean\",\"39c51ef8acd47983b9ef9b7ff5bad432b746042649fe32b005bdd5ecf0572e24\",0,\"algebra_285817\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008663.lean\",\"2b55bd66a0e95549fcf3f9419e8b77e4e24ca57bc5eeda2630c76da58fde7574\",0,\"number_theory_11162\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008664.lean\",\"ef94b9b8a59ef80e2b5f7540699242d6415a499af0393e1a606897c0dbe8ba0b\",0,\"algebra_609266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707385,
+      "path": "data/train/pe2/numina-001732-0000-ea430a91e97032be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 65,
+      "sha256": "ea430a91e97032be3991c0fd3d070414e80f513f040d44d18174b7b2b46e2a65"
+    },
+    {
+      "bytes": 156168,
+      "path": "data/internal_test/pe2/numina-001732-0000-f9dfb2014419f81c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f9dfb2014419f81ce850d892eecd99bb8d6a689fadb57b48d4b81c40b58b332e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001733.json b/manifests/batches/numina/001733.json
index 2320077d79c406a54109ed7271548714c9f3aef3..285793eb32f28442fd84ec3745d3fa981acf8d1e 100644
--- a/manifests/batches/numina/001733.json
+++ b/manifests/batches/numina/001733.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001733",
   "batch_fingerprint": "67534316fc6bdc3be389823feb59422e17fb2216744a805bc3bff0b32a850e91",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001733-0000-1af51a095ff7651d.parquet",
-      "sha256": "1af51a095ff7651df889995bd84e043c43b21a42ef1a3a70f37935f20f38a102",
-      "bytes": 340542,
-      "rows": 49,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ef9c5ad-b711-503e-82a0-3053eafdba1b",
     "numina:41f0b641-0693-5833-839a-8a28aafdd5c0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008667.lean\",\"938ac4392fd2782018b05c763958c87505ebdd5e8d5e5e827077efe31af4d65f\",0,\"number_theory_250507\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008668.lean\",\"e90e448a22de6330a6b81a6e1b27c964e2d02882184a9a27b89557e614dda6ad\",0,\"inequalities_276884\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008669.lean\",\"e07ad9649a43175acbee0ba7a62b934b85bbc4cac20a3ac0b20531811e80c1b9\",0,\"algebra_9020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340542,
+      "path": "data/train/p14/numina-001733-0000-1af51a095ff7651d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "1af51a095ff7651df889995bd84e043c43b21a42ef1a3a70f37935f20f38a102"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001734.json b/manifests/batches/numina/001734.json
index f69a3c495b11d295cbda66244cac7f7785ef9df0..ed3678af332f331b7a098afbfc6acc47fbad26a6 100644
--- a/manifests/batches/numina/001734.json
+++ b/manifests/batches/numina/001734.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001734",
   "batch_fingerprint": "a6dcf34f7ab5fc8651e535fad8c5c1b981c181c11ad9c9f2c5718177fe913ef9",
   "evidence": {
@@ -48,15 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001734-0000-fa365146c950006f.parquet",
-      "sha256": "fa365146c950006f750ab92021798e8a89886b08b4e7875542aaa723e8c5cbe8",
-      "bytes": 597440,
-      "rows": 40,
-      "revision": "7e174185e36900440e46aa51138b1185eec3db9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19f38ab5-e97a-5add-8c36-10e10809509e",
     "numina:1cb410e1-b4d5-5568-a52b-3bbdd6f6aaf5",
@@ -68,5 +59,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008672.lean\",\"cf6f021701a6d439fa943699d5a70b6f1ac466e8fd38ac6218227f93d2111816\",0,\"algebra_113079\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008673.lean\",\"5c10e46819c6d5f8c69adee9733085d55219d5b7013dbe25a208d5771f5b36c9\",0,\"number_theory_22815\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008674.lean\",\"598942df5139b9a309bf3bd3db4d36d4eb5247348257b9833cfbc6004de9aee2\",0,\"inequalities_276900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 597440,
+      "path": "data/train/pa4/numina-001734-0000-fa365146c950006f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "fa365146c950006f750ab92021798e8a89886b08b4e7875542aaa723e8c5cbe8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001735.json b/manifests/batches/numina/001735.json
index 92c296c8d93636cff2e7014174596285a029ea7e..c682ae7d28250ae39af8ebb41fd3896a14564283 100644
--- a/manifests/batches/numina/001735.json
+++ b/manifests/batches/numina/001735.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001735",
   "batch_fingerprint": "be3cf8e181423464286289cedcd5617c2e8afda873772821813a2184ceb92790",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001735-0000-a407619dd9e67852.parquet",
-      "sha256": "a407619dd9e67852ee3d3f98653fe6a33866333c24b530f2a15ff908de5c3170",
-      "bytes": 130816,
-      "rows": 29,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    },
-    {
-      "path": "data/internal_test/numina-001735-0000-df2a2c1bb57f4cfd.parquet",
-      "sha256": "df2a2c1bb57f4cfd1bef29de6f63c6010ff21fc1cec6193bc52531e15548720a",
-      "bytes": 30316,
-      "rows": 4,
-      "revision": "fbd906a0bdfc1bb5578125ba68e63f7fae5fdaae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:13029d0c-35f7-5d3c-bb4b-d036a300d9e9",
     "numina:45fd0def-3ee8-513f-85c6-87f4d618d6b2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008677.lean\",\"2ae0e9a044eb4d4434cd81ad6e919d551fa87d3b3f36915827db78f74f80058e\",0,\"inequalities_149345\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008678.lean\",\"9769130ce8ff66d316bc2dfcfd170ffa9abbb1356738340c131a0248b13de5ad\",0,\"number_theory_14496\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008679.lean\",\"75bc20c411855b8129c5efc2afbd24572b7d7b29907ca5782194e0ceb6c1ea96\",0,\"algebra_609219\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130816,
+      "path": "data/train/p19/numina-001735-0000-a407619dd9e67852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "a407619dd9e67852ee3d3f98653fe6a33866333c24b530f2a15ff908de5c3170"
+    },
+    {
+      "bytes": 30316,
+      "path": "data/internal_test/p19/numina-001735-0000-df2a2c1bb57f4cfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "df2a2c1bb57f4cfd1bef29de6f63c6010ff21fc1cec6193bc52531e15548720a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001736.json b/manifests/batches/numina/001736.json
index 609a5aee6151b8743960c5df6c37a5b0a6d0cec4..dc27ec16b9f6149ebc419e09780e1ddf95c53d99 100644
--- a/manifests/batches/numina/001736.json
+++ b/manifests/batches/numina/001736.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001736",
   "batch_fingerprint": "0f7e17e8e5f98585bf0ba9acd041eb8f8a003c9dc93b6bd1ad88fca10555a9db",
   "evidence": {
@@ -49,39 +48,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2b305d1c-0179-574a-b095-2808725118ec",
+    "numina:79ce44df-cc29-5581-a83b-c260120263e0",
+    "numina:7dbb043e-7757-5d68-a28e-5832d4e839eb",
+    "numina:b3331776-a505-5e7b-9bba-fd2a233a60a1"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008680.lean\",\"810d630ff34b98191ea0541782683b68f6a07a48645b5451ca178bf7b3fce352\",0,\"number_theory_113226\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008681.lean\",\"1cb559d7722964ecf46ef0547430bb6386ce067f5aba842426bde73fad2d6b0d\",0,\"number_theory_23709\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008683.lean\",\"ad67894df8f90f14458f9636a6e9157bd8b5b3db4949ad2ff0c3595900ef426a\",0,\"algebra_608561\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008684.lean\",\"feaa1f2f6510d98e18d6fb07d95443ed0b2d700c2c19e227ecfce020d31c27b0\",0,\"algebra_605450\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001736-0000-2045c9dc68b4d85b.parquet",
-      "sha256": "2045c9dc68b4d85be7d78f7a2d96b58838a94e4dc8a166692238252a03e9e68b",
       "bytes": 331733,
+      "path": "data/train/p3e/numina-001736-0000-2045c9dc68b4d85b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
+      "sha256": "2045c9dc68b4d85be7d78f7a2d96b58838a94e4dc8a166692238252a03e9e68b"
     },
     {
-      "path": "data/dev/numina-001736-0000-6c65191f0bba2768.parquet",
-      "sha256": "6c65191f0bba276812d52131e0fd082d35309dee08eab922718a6cc874bff584",
       "bytes": 156073,
+      "path": "data/dev/p3e/numina-001736-0000-6c65191f0bba2768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
+      "sha256": "6c65191f0bba276812d52131e0fd082d35309dee08eab922718a6cc874bff584"
     },
     {
-      "path": "data/internal_test/numina-001736-0000-ce8709627fc9eb96.parquet",
-      "sha256": "ce8709627fc9eb96dd4c3b6965e2716894d3dccd37e1ddef9a9f93838c16b092",
       "bytes": 58485,
+      "path": "data/internal_test/p3e/numina-001736-0000-ce8709627fc9eb96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
+      "sha256": "ce8709627fc9eb96dd4c3b6965e2716894d3dccd37e1ddef9a9f93838c16b092"
     }
-  ],
-  "proof_ids": [
-    "numina:2b305d1c-0179-574a-b095-2808725118ec",
-    "numina:79ce44df-cc29-5581-a83b-c260120263e0",
-    "numina:7dbb043e-7757-5d68-a28e-5832d4e839eb",
-    "numina:b3331776-a505-5e7b-9bba-fd2a233a60a1"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008680.lean\",\"810d630ff34b98191ea0541782683b68f6a07a48645b5451ca178bf7b3fce352\",0,\"number_theory_113226\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008681.lean\",\"1cb559d7722964ecf46ef0547430bb6386ce067f5aba842426bde73fad2d6b0d\",0,\"number_theory_23709\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008683.lean\",\"ad67894df8f90f14458f9636a6e9157bd8b5b3db4949ad2ff0c3595900ef426a\",0,\"algebra_608561\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008684.lean\",\"feaa1f2f6510d98e18d6fb07d95443ed0b2d700c2c19e227ecfce020d31c27b0\",0,\"algebra_605450\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001737.json b/manifests/batches/numina/001737.json
index 6d3d2a64b7272990371744764c1a351971bbf15f..7392981a48c7791bd57d7874ab9aabcb9f6449de 100644
--- a/manifests/batches/numina/001737.json
+++ b/manifests/batches/numina/001737.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001737",
   "batch_fingerprint": "f391c0b09a06256940394c0d633ab51a2c016470ca0bd06da3f81e3f1a18afb5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001737-0000-d78672eaeffbe018.parquet",
-      "sha256": "d78672eaeffbe018e3085d2147b133d53be72708c5b0b5e608aefcb5a41eee63",
-      "bytes": 258949,
-      "rows": 33,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11d8b9aa-7f7c-5411-9d34-98c6b6ac99dc",
     "numina:1be405c9-6db2-527a-b8b2-da3af2512cda",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008687.lean\",\"1ca44c2bc57518c99dbd22b8b19e5726f1647f972ce43c801a052ef91c76dcbd\",0,\"algebra_286609\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008688.lean\",\"1b95e82d82f744ad5625985979933ce52be2ab917b161555eb506001fc7275b0\",1,\"number_theory_4585_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008689.lean\",\"c5d33054aa0d2085362554e7b6f4731383de7467417afdf1466d87e896b48dff\",0,\"algebra_102997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258949,
+      "path": "data/train/pbb/numina-001737-0000-d78672eaeffbe018.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d78672eaeffbe018e3085d2147b133d53be72708c5b0b5e608aefcb5a41eee63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001738.json b/manifests/batches/numina/001738.json
index db6301b0739da37f62ebebbfc8f3afaf01a04293..8678e3f686dcb8a1af7fffaff1a0d42ca2888007 100644
--- a/manifests/batches/numina/001738.json
+++ b/manifests/batches/numina/001738.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001738",
   "batch_fingerprint": "1286ba3e71c41036c9f1dd7b366c07d7d2b340395d2b99ed8cbaddf2b0e3700a",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001738-0000-ae8cdb5a9e480e44.parquet",
-      "sha256": "ae8cdb5a9e480e44bbe8abe6f2becc9cbce2bcde03715f918b849381b9c0d091",
-      "bytes": 402186,
-      "rows": 15,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001738-0000-cb82c3e48cef9998.parquet",
-      "sha256": "cb82c3e48cef9998de9c3e8982281f43fe3d89cb44b21a72da9b33ee2f62bd86",
-      "bytes": 85132,
-      "rows": 6,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1eaa835f-e998-5a2f-a71b-375efa885b8f",
     "numina:46afa51e-346b-5028-b756-10133e427f34",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008692.lean\",\"b9b998f8aa3e3aaf3e25364453b24fa97aac8bfd75b7bb879798519162746eeb\",0,\"algebra_20965\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008693.lean\",\"1009370bb2eb9cb74711a2b71a4b1aa46d4a96bfa3c08cbb43110f95be97b7fd\",0,\"algebra_609358\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008694.lean\",\"5790ad312689afd54f484a3ad3064fbe9e15deb10ea0d702fe72b120de722d3a\",0,\"algebra_260323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402186,
+      "path": "data/train/pd8/numina-001738-0000-ae8cdb5a9e480e44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ae8cdb5a9e480e44bbe8abe6f2becc9cbce2bcde03715f918b849381b9c0d091"
+    },
+    {
+      "bytes": 85132,
+      "path": "data/internal_test/pd8/numina-001738-0000-cb82c3e48cef9998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cb82c3e48cef9998de9c3e8982281f43fe3d89cb44b21a72da9b33ee2f62bd86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001739.json b/manifests/batches/numina/001739.json
index dc83cced278635b32ee87a46a2ef952f2a4abdb2..dde2a968ae48234aca890c4f4c4b342eada7ce36 100644
--- a/manifests/batches/numina/001739.json
+++ b/manifests/batches/numina/001739.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001739",
   "batch_fingerprint": "98de3562ea044ddeb289416168ea655c8340c8d8369e1ff51da03d61cc7491cc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001739-0000-df9d12698d876b76.parquet",
-      "sha256": "df9d12698d876b7628bf7acdd38bb4892936cc261ead5b3fa6339daacccb75a1",
-      "bytes": 366613,
-      "rows": 32,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001739-0000-c605c38097527245.parquet",
-      "sha256": "c605c38097527245b815e65db77e25c1f1d013e3459e0a05e3a990e6690246b7",
-      "bytes": 120420,
-      "rows": 9,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5f299a15-e02c-5b20-8062-29a3c1c5b01f",
     "numina:7f66be2c-8966-5949-8702-7bcc0358066f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008697.lean\",\"8192f8428de717f1462925f5f76605bb9618f49c96b0836a492ecdfc693b12dc\",0,\"calculus_22737\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008698.lean\",\"7c7025726d71a0f3e10b9d5262254520084153bcf7b9b990d0416ed7d05c6e63\",0,\"number_theory_133428\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008699.lean\",\"563dca87f70a976fca2e5ec8850eefbbaf98e59a4c8f73c5eb22cba6db1250e0\",0,\"number_theory_292559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366613,
+      "path": "data/train/pc0/numina-001739-0000-df9d12698d876b76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "df9d12698d876b7628bf7acdd38bb4892936cc261ead5b3fa6339daacccb75a1"
+    },
+    {
+      "bytes": 120420,
+      "path": "data/internal_test/pc0/numina-001739-0000-c605c38097527245.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c605c38097527245b815e65db77e25c1f1d013e3459e0a05e3a990e6690246b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001740.json b/manifests/batches/numina/001740.json
index 9b38bc3d916878e42e783765230690971adf3488..6855d2438a42696a94a7465abd57c284ffa924f0 100644
--- a/manifests/batches/numina/001740.json
+++ b/manifests/batches/numina/001740.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001740",
   "batch_fingerprint": "d6cf3b7e5913a06f46259d1e409cacb6ad766f9d9790f243c6ef7e16fe3311ff",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001740-0000-3f0b2ff61a88a917.parquet",
-      "sha256": "3f0b2ff61a88a917af0f084b467a398eec0aa563433d2641c34e16554ccd3f1b",
-      "bytes": 436503,
-      "rows": 52,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/numina-001740-0000-328cdfc6423eb9c3.parquet",
-      "sha256": "328cdfc6423eb9c3e6dc929476d571dfe087b7a7d75a45d7f1d2c16b4c3dfe47",
-      "bytes": 27219,
-      "rows": 1,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001740-0000-e4caa1364b9ad421.parquet",
-      "sha256": "e4caa1364b9ad42132c96a91564fd786e23434e50b75e73013cd4f45adaeb9f8",
-      "bytes": 151143,
-      "rows": 25,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2ca5da9c-1f79-5563-8d49-bafddac8231f",
     "numina:5b95a74a-6fcf-5ee2-86ff-99c1018b642c",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008702.lean\",\"498546b0b9a657efa0e181ffbc9b6664b81fb5e65fce1c43c8a374af130ddf91\",0,\"algebra_607254\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008703.lean\",\"be133585a3c66fb8f7af794317d6bee8e21bb1f008f0d13d42b488bf713173bd\",0,\"number_theory_609368\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008704.lean\",\"919f5c1478d3ac6610ebe4d0f32bdc9c2d084c5cd8017e255e525c1dbc9c972e\",0,\"inequalities_260348\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436503,
+      "path": "data/train/p42/numina-001740-0000-3f0b2ff61a88a917.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 52,
+      "sha256": "3f0b2ff61a88a917af0f084b467a398eec0aa563433d2641c34e16554ccd3f1b"
+    },
+    {
+      "bytes": 27219,
+      "path": "data/dev/p42/numina-001740-0000-328cdfc6423eb9c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "328cdfc6423eb9c3e6dc929476d571dfe087b7a7d75a45d7f1d2c16b4c3dfe47"
+    },
+    {
+      "bytes": 151143,
+      "path": "data/internal_test/p42/numina-001740-0000-e4caa1364b9ad421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e4caa1364b9ad42132c96a91564fd786e23434e50b75e73013cd4f45adaeb9f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001741.json b/manifests/batches/numina/001741.json
index 19e90f65eb82d7e9c11462690de03b743efcb7e4..4fc66ce58344fd17069007259cb8f7f343081363 100644
--- a/manifests/batches/numina/001741.json
+++ b/manifests/batches/numina/001741.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001741",
   "batch_fingerprint": "d6f8bb6b7e323a01f66cf5c7b7dac2e6b8a92ff85fe6443fa147ea4ebbc5888f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001741-0000-b7e544522a30581a.parquet",
-      "sha256": "b7e544522a30581a927cd43df63c974f3fc222b7bce5d9980c73aa47b339756e",
-      "bytes": 109593,
-      "rows": 16,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001741-0000-7f3c82fcdd21e0bf.parquet",
-      "sha256": "7f3c82fcdd21e0bf57a511838d78c8e2ab4aed4443a43b97144e4392a07a2491",
-      "bytes": 107351,
-      "rows": 16,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32fe6688-f339-5242-9326-683c55051359",
     "numina:ac737b99-ea43-5caa-b0b6-936b08f4d7cf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008707.lean\",\"45287fa2bd86695b481e884a007967213fc49acfa1b0cdbd0ac9507db0026426\",0,\"algebra_20708\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008708.lean\",\"882708d4bc7d512f550a303b62e5bf9fafd1bafd2fe094bf36645325e04a85d3\",0,\"inequalities_205702\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008709.lean\",\"f4ec923b208696a76cd6671a99155d0accdf5922c17ababfced82a184c10f2ee\",0,\"number_theory_19048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109593,
+      "path": "data/train/p6e/numina-001741-0000-b7e544522a30581a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b7e544522a30581a927cd43df63c974f3fc222b7bce5d9980c73aa47b339756e"
+    },
+    {
+      "bytes": 107351,
+      "path": "data/internal_test/p6e/numina-001741-0000-7f3c82fcdd21e0bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7f3c82fcdd21e0bf57a511838d78c8e2ab4aed4443a43b97144e4392a07a2491"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001742.json b/manifests/batches/numina/001742.json
index e724f10dd75b7aa48b010ab7646bfcae77f306e9..75759213c3932b8a39a6cfb4e4866150326552a2 100644
--- a/manifests/batches/numina/001742.json
+++ b/manifests/batches/numina/001742.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001742",
   "batch_fingerprint": "7c4011d6f6db5357e0d9b9f4525bde2687e01c77d0105282f0a436056f9ac476",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001742-0000-6cf9e881d639b373.parquet",
-      "sha256": "6cf9e881d639b373ac9313c357d4c21ffa8f3466c3ca8fae70ee74486f3a526d",
-      "bytes": 229053,
-      "rows": 32,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/numina-001742-0000-332afc6460e47797.parquet",
-      "sha256": "332afc6460e47797a18ad1f64efb6ffa2e4fe7d82bc1098c5a0885a959b3024a",
-      "bytes": 33935,
-      "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5a017f01-4bb7-52ff-b244-a4ea60cd1f4b",
     "numina:bd880f59-71eb-5b4b-bf14-13bce2505681",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008712.lean\",\"71a205e45cb8e0a63edb27212f94e6825659c404433399f0b90d875a29e08ea9\",0,\"Number_Theory_610015\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008713.lean\",\"cbf8925ad779efd9d46ce59673f5e9a808fe39581d9e40c6c16af612b86e6787\",0,\"number_theory_93914\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008714.lean\",\"4cfccca59d6ab52e941d48887de53455a8c07def37a168f4cb39d59e1b790613\",0,\"number_theory_604767\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229053,
+      "path": "data/train/p22/numina-001742-0000-6cf9e881d639b373.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "6cf9e881d639b373ac9313c357d4c21ffa8f3466c3ca8fae70ee74486f3a526d"
+    },
+    {
+      "bytes": 33935,
+      "path": "data/dev/p22/numina-001742-0000-332afc6460e47797.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "332afc6460e47797a18ad1f64efb6ffa2e4fe7d82bc1098c5a0885a959b3024a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001743.json b/manifests/batches/numina/001743.json
index d8afae0ddaa0cb9a61b00676bf3908184a751f24..354708cf19d445b14e95a40c43ff5ae78d4a5c32 100644
--- a/manifests/batches/numina/001743.json
+++ b/manifests/batches/numina/001743.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001743",
   "batch_fingerprint": "77907d94690a384a2c65ec3abb52785b3e907782b60e172c55a30e5a5f3fcad6",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001743-0000-94f238972a790074.parquet",
-      "sha256": "94f238972a79007435dc3f2fdf5b580a1e018171175ecc4eca42d567953e5f45",
-      "bytes": 274128,
-      "rows": 29,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/dev/numina-001743-0000-9168d2bdf7347d64.parquet",
-      "sha256": "9168d2bdf7347d6478e310ca3a3d51c73ce23b4a083f6772e8eb9b28c3bc7b9c",
-      "bytes": 110908,
-      "rows": 10,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e521150-8938-535d-a732-4f41a28dbb16",
     "numina:287f6f3a-35ca-5436-88c5-56516034029d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008717.lean\",\"cc7ab6fcfa0abcbf8c6d0e79c7803a049e1d84e58674416df9840d48ac2782bc\",0,\"number_theory_22916\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008718.lean\",\"e88ad2223318265876a8ffde85e19188ac0fe50e657e31cab005674443e8c6f7\",0,\"algebra_158937\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008719.lean\",\"8c6aaa337e4615349da1e6e3f54dcbba302102c6ef5bc58e78c3287c7dd04a5a\",0,\"algebra_175867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274128,
+      "path": "data/train/p5e/numina-001743-0000-94f238972a790074.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "94f238972a79007435dc3f2fdf5b580a1e018171175ecc4eca42d567953e5f45"
+    },
+    {
+      "bytes": 110908,
+      "path": "data/dev/p5e/numina-001743-0000-9168d2bdf7347d64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9168d2bdf7347d6478e310ca3a3d51c73ce23b4a083f6772e8eb9b28c3bc7b9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001744.json b/manifests/batches/numina/001744.json
index e86efc0742d8c1fe25fb77581f4a944e5ebb75de..f06351045a235028c3008c080406d08a1cdf8ded 100644
--- a/manifests/batches/numina/001744.json
+++ b/manifests/batches/numina/001744.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001744",
   "batch_fingerprint": "3feca0e6ab97d666e33ba56fcb2f1db124814fb845e9ae6f53703a4a854c509b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001744-0000-f58969f384860ced.parquet",
-      "sha256": "f58969f384860ceda9c8fde451d60fc0819ee95497e5bd064e293b52d36b5e88",
-      "bytes": 418244,
-      "rows": 59,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001744-0000-f1c3defb6b23db01.parquet",
-      "sha256": "f1c3defb6b23db01c761ca4eb361a8704d48b74ba1e78571c830642739cd97fe",
-      "bytes": 57847,
-      "rows": 13,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1374b05a-936a-56bc-ac6d-53064df9bf88",
     "numina:539d9dbb-88d6-58aa-96cd-af1cfcc553ad",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008722.lean\",\"06f603cbd08df62f41352f879e3075b4f8a05aebddbfb0267f89827b6e42715e\",0,\"number_theory_24205\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008723.lean\",\"001a35c714963d37405754b983214137625bf3f17ab85ddfecbc3a554d528654\",0,\"number_theory_610021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008724.lean\",\"8b6dcf9fc8422ce1c9785453e56039d3e8202e470d8c56975426e4c8cd0de754\",0,\"algebra_14832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 418244,
+      "path": "data/train/p1f/numina-001744-0000-f58969f384860ced.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "f58969f384860ceda9c8fde451d60fc0819ee95497e5bd064e293b52d36b5e88"
+    },
+    {
+      "bytes": 57847,
+      "path": "data/internal_test/p1f/numina-001744-0000-f1c3defb6b23db01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f1c3defb6b23db01c761ca4eb361a8704d48b74ba1e78571c830642739cd97fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001745.json b/manifests/batches/numina/001745.json
index 7b71dc77a26adfb71640f3f873a670767e5adae7..289f2843cf5211a6ab5db846a01e59dd01ce1534 100644
--- a/manifests/batches/numina/001745.json
+++ b/manifests/batches/numina/001745.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001745",
   "batch_fingerprint": "958fd0593c880f181687427c0da9b4d123e8bdcc3f30ec822739fed4d078b9a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001745-0000-6618ea79ca0d6928.parquet",
-      "sha256": "6618ea79ca0d69280fa7f2c3f877a7e0403ce35236c8b88cacb16aa5846fe7e9",
-      "bytes": 169960,
-      "rows": 15,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    },
-    {
-      "path": "data/internal_test/numina-001745-0000-29a05fdf7833ce91.parquet",
-      "sha256": "29a05fdf7833ce91edfeb03f1d82d51a8f2920a8965f2a8260b444d7705549a8",
-      "bytes": 43166,
-      "rows": 3,
-      "revision": "5538f6c469e43f5b410f4ebaa4de82d3d8d84a2f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2aa5eee9-9c1e-5359-b5de-61250ca711b9",
     "numina:572f2949-3620-5089-924b-4dd55e743ef8",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008727.lean\",\"d934c0b0a7ae08e49836df0d50057d5fc77f45e5ac649365588a303eb9eee567\",0,\"inequalities_601031\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008729.lean\",\"5ec79ae7644e912a86bd5918e10ca6a923ef2860409632ae9dbfdb8d29510f69\",0,\"algebra_608834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169960,
+      "path": "data/train/p7b/numina-001745-0000-6618ea79ca0d6928.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6618ea79ca0d69280fa7f2c3f877a7e0403ce35236c8b88cacb16aa5846fe7e9"
+    },
+    {
+      "bytes": 43166,
+      "path": "data/internal_test/p7b/numina-001745-0000-29a05fdf7833ce91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "29a05fdf7833ce91edfeb03f1d82d51a8f2920a8965f2a8260b444d7705549a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001746.json b/manifests/batches/numina/001746.json
index 4717c959cffd971f790bdadad75fd9fab7813210..e0ffae48fd157d8b9c7846d1f2557c238ee2e24d 100644
--- a/manifests/batches/numina/001746.json
+++ b/manifests/batches/numina/001746.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001746",
   "batch_fingerprint": "02d1527bc79016dfd75d47615834cda03339cf4396aaba5f71e08bcda5281ede",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001746-0000-968fcef583e4e44f.parquet",
-      "sha256": "968fcef583e4e44fa6d30e706ab69c230ea47599ad3b61a86e797a1e3fabb84f",
-      "bytes": 640760,
-      "rows": 67,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:9337fb95-890e-5d4b-9f5b-9ed767660280",
     "numina:93d6d295-0dcf-5bd8-b333-dd0c5af6d0b7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008732.lean\",\"f8628612fa9ebdd2536a01a87e2f5112036b13657d6830d54a0ae1caaaf9986c\",0,\"algebra_158983\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008733.lean\",\"9108f32e01b928a65ba51230fd94fd9df6eebc569a45ceb33f0e9e3d8ff24b04\",0,\"inequalities_607625\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008734.lean\",\"02d05d185366fe8287287917c5169643c3d1cbf1355b432e0445812f933b464d\",0,\"number_theory_7894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 640760,
+      "path": "data/train/pf7/numina-001746-0000-968fcef583e4e44f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 67,
+      "sha256": "968fcef583e4e44fa6d30e706ab69c230ea47599ad3b61a86e797a1e3fabb84f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001747.json b/manifests/batches/numina/001747.json
index ff3869794524b282f37c109bac31cb9e634cb051..3af2ac4223b2f6d53dd3319f3efc8084e2717df3 100644
--- a/manifests/batches/numina/001747.json
+++ b/manifests/batches/numina/001747.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001747",
   "batch_fingerprint": "b0b2b20b9d27f19267356393e902e01547ba87855eb29f187f80a4efaea0e5ee",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001747-0000-1ab5345bc900d1c3.parquet",
-      "sha256": "1ab5345bc900d1c385d2599f3fd4bf8d7cf85cad09cf96fb0aa33436ac608e24",
-      "bytes": 291216,
-      "rows": 19,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/train/numina-001747-0001-427a36bdf4cc34fe.parquet",
-      "sha256": "427a36bdf4cc34fee923df2cdc3630267ff40c385906c705332fcb169e3bab37",
-      "bytes": 365211,
-      "rows": 13,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/numina-001747-0000-7d3124517138e445.parquet",
-      "sha256": "7d3124517138e4455235845c6166eba3b6bc8fc4621689e0ac50cf9b52be139d",
-      "bytes": 34331,
-      "rows": 1,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:050e20e0-f80b-5154-a284-f765c13897f8",
     "numina:0bdca338-d809-5293-883c-40679a65e2ab",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008738.lean\",\"c98b22dd695a63305e46a5eb47fee1931516aad3a4ab372cdf4a0a096d6c936d\",0,\"inequalities_79152\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008739.lean\",\"d57d71228ae63372ed27bdad2a4a543c494d73bc0abcaee28da5577f88a57b89\",0,\"number_theory_36178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291216,
+      "path": "data/train/p9f/numina-001747-0000-1ab5345bc900d1c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1ab5345bc900d1c385d2599f3fd4bf8d7cf85cad09cf96fb0aa33436ac608e24"
+    },
+    {
+      "bytes": 365211,
+      "path": "data/train/p9f/numina-001747-0001-427a36bdf4cc34fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "427a36bdf4cc34fee923df2cdc3630267ff40c385906c705332fcb169e3bab37"
+    },
+    {
+      "bytes": 34331,
+      "path": "data/internal_test/p9f/numina-001747-0000-7d3124517138e445.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7d3124517138e4455235845c6166eba3b6bc8fc4621689e0ac50cf9b52be139d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001748.json b/manifests/batches/numina/001748.json
index 860b0b2094043e0d49f5353f7ed1b10c354dda10..a4983b3d8d06799912a9b189c117d0a0aac6daf7 100644
--- a/manifests/batches/numina/001748.json
+++ b/manifests/batches/numina/001748.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001748",
   "batch_fingerprint": "a27e380437c5b99401ce84983d7aa4d08e135bd754531b7d6e5dcba77bc158af",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001748-0000-ba97aabc06765007.parquet",
-      "sha256": "ba97aabc06765007a6edb0b93c26a737c393367738b7499b43ca96113a907a1e",
-      "bytes": 79109,
-      "rows": 18,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/numina-001748-0000-237e4f2d0f1f31b1.parquet",
-      "sha256": "237e4f2d0f1f31b1c575de5ce5882017e75ce13861edfbd5b615bd09a58adff4",
-      "bytes": 515974,
-      "rows": 16,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b51de2d-b7d8-5a69-bffc-9e577845eea6",
     "numina:36391abe-a96e-50d8-ac80-643dbd8132c7",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008742.lean\",\"937a09c9004303b3328b51f1365fb993082d23e09c314f67a59d94ea71ca186d\",0,\"number_theory_15246\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008743.lean\",\"7c001b00ec16ce5c704e9c9d72ff84160117b057e977f2c2fa5e25cac24ba791\",0,\"inequalities_601397\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008744.lean\",\"27599b63f71ebce34abeb490730417d9e9233df3762417d32af22805288f5ebe\",0,\"number_theory_103988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79109,
+      "path": "data/train/p04/numina-001748-0000-ba97aabc06765007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ba97aabc06765007a6edb0b93c26a737c393367738b7499b43ca96113a907a1e"
+    },
+    {
+      "bytes": 515974,
+      "path": "data/internal_test/p04/numina-001748-0000-237e4f2d0f1f31b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "237e4f2d0f1f31b1c575de5ce5882017e75ce13861edfbd5b615bd09a58adff4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001749.json b/manifests/batches/numina/001749.json
index e58a4faafaee5fca20bab2d45450058f9344ccf4..a009fea5397d8835c6355fa00598e16fe0840cdd 100644
--- a/manifests/batches/numina/001749.json
+++ b/manifests/batches/numina/001749.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001749",
   "batch_fingerprint": "40c6051cf5bbcc7a249aed10c68ed3b6daf9625ce56cf0388b785015445ebc4e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001749-0000-781ef8911159c6aa.parquet",
-      "sha256": "781ef8911159c6aab90130f7886cd91b9d7d87dd7490775c75cae71f3c9892cd",
-      "bytes": 506653,
-      "rows": 34,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/train/numina-001749-0001-760b1086f98b0105.parquet",
-      "sha256": "760b1086f98b0105c1b057429048ff38ffb111336b0588a47f5db9982908d47f",
-      "bytes": 741704,
-      "rows": 1,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/train/numina-001749-0002-a5760b5138553627.parquet",
-      "sha256": "a5760b51385536275ee225b7151f96340549044d60da965cfdeea0961fa26f3e",
-      "bytes": 79128,
-      "rows": 4,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4c690fec-772d-5789-9848-20f264be8f4c",
     "numina:7f8597bd-29c6-5137-901c-669f8161a185",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008747.lean\",\"2b6ec9351751c0599f36fb094b9ca194ef162ca641eb5aec72d6300a7e379a04\",0,\"algebra_98614\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008748.lean\",\"7c9ed7cf34ec3acc77fabef2fc467ec408feaa01f6b9fe11ff81e8ddac642f19\",0,\"number_theory_168968\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008749.lean\",\"72b780353d033a81a990f8ceb7ebba5b2f00db911b3bfd4f80477cd78a2d21fd\",0,\"algebra_225137\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506653,
+      "path": "data/train/p4b/numina-001749-0000-781ef8911159c6aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "781ef8911159c6aab90130f7886cd91b9d7d87dd7490775c75cae71f3c9892cd"
+    },
+    {
+      "bytes": 741704,
+      "path": "data/train/p4b/numina-001749-0001-760b1086f98b0105.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "760b1086f98b0105c1b057429048ff38ffb111336b0588a47f5db9982908d47f"
+    },
+    {
+      "bytes": 79128,
+      "path": "data/train/p4b/numina-001749-0002-a5760b5138553627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a5760b51385536275ee225b7151f96340549044d60da965cfdeea0961fa26f3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001750.json b/manifests/batches/numina/001750.json
index 832cf8ef896b04084bb7a065ae1c345f7715b9f7..cb1a387ff3afc684a4b92b0483fd710b64fe0ddc 100644
--- a/manifests/batches/numina/001750.json
+++ b/manifests/batches/numina/001750.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001750",
   "batch_fingerprint": "3da7487cbb6dd1f2b646a0c574757d035f884ca0fe229e7e8c2d7490299ce3a7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001750-0000-7bb56630d20d089c.parquet",
-      "sha256": "7bb56630d20d089c884f98c0f313a9a25db92957ad2398b3ba941ab0c2cd3622",
-      "bytes": 179049,
-      "rows": 22,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:7425bee7-dbe6-5624-926e-ad701651102c",
     "numina:89553f13-ea71-53bf-9614-a9a26a8b4071",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008752.lean\",\"f9f28ddc1fd1548b35fed6e986fcea0bbfebc545366c9c7d51baef3c4f898be4\",0,\"number_theory_154264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008753.lean\",\"34335161b32b684b4bde8daabc4afa38396a17d21c87534f31dd51f95535707a\",0,\"algebra_292734\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008754.lean\",\"519ef8d11d06399dce2046f64f99dde19fb17a409c052cdea154f6ab140c9cb3\",0,\"algebra_20754\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179049,
+      "path": "data/train/pe1/numina-001750-0000-7bb56630d20d089c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7bb56630d20d089c884f98c0f313a9a25db92957ad2398b3ba941ab0c2cd3622"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001751.json b/manifests/batches/numina/001751.json
index a66bdbff44f5b69a7b484a43d7ab6f1ddc3eb845..204b78eefe07c9f19d7013fffcc2b15ad25da573 100644
--- a/manifests/batches/numina/001751.json
+++ b/manifests/batches/numina/001751.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001751",
   "batch_fingerprint": "57e191471911fe8c2bc28d3799a1d7729a5502cb40eca4c0f27fc974f84f9991",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001751-0000-04f42570b10a3967.parquet",
-      "sha256": "04f42570b10a3967ec3905617f57bfa4799f98c11997d5988c97e708f4ef767c",
-      "bytes": 369869,
-      "rows": 48,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2093cf85-57d6-562e-bdb8-7ef4dad4edb2",
     "numina:3115ff4c-047c-5dee-b706-b6502c1b22e4",
@@ -59,5 +50,14 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008759.lean\",\"3f8de64c89f4145f4d321763016d47ddae660b8805831839ef151f54bc278c76\",0,\"number_theory_200613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369869,
+      "path": "data/train/p3a/numina-001751-0000-04f42570b10a3967.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 48,
+      "sha256": "04f42570b10a3967ec3905617f57bfa4799f98c11997d5988c97e708f4ef767c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001752.json b/manifests/batches/numina/001752.json
index e5232052bdacdc8c0f4edaf5ff8f04ba8df42a7a..c640a45e0cee4d6ab1f3f5625ad28ca185995524 100644
--- a/manifests/batches/numina/001752.json
+++ b/manifests/batches/numina/001752.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001752",
   "batch_fingerprint": "c6606ed9813ce10650cf9e411d956979f4f56f627f207dbe480e51bb52d0d6b9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001752-0000-64e0f7c1cb744c9a.parquet",
-      "sha256": "64e0f7c1cb744c9a31cbfef7a1df03312f88cad16d1253768ddb03d69bc87c29",
-      "bytes": 506330,
-      "rows": 18,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/train/numina-001752-0001-b7426ab6ff6b88ee.parquet",
-      "sha256": "b7426ab6ff6b88eeff1d5d4cb5ee5f896acf46bf8881ec19ca41f9211e027eaa",
-      "bytes": 820917,
-      "rows": 19,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/train/numina-001752-0002-6fddd153c61e003d.parquet",
-      "sha256": "6fddd153c61e003ddc225002fb5a1ad0c85e125712bc1ef45ec82b1c413c0a1c",
-      "bytes": 107257,
-      "rows": 1,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:565060cc-de23-5041-8bab-042f496f3e5c",
     "numina:737c1ad8-9a35-5ec7-b98b-e49ae55e3bf0",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008762.lean\",\"487757e57fb3a506248fc2285ccbb7c30e855abf26231a2207b2eaf8084a3c30\",0,\"my_favorite_theorem\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008763.lean\",\"b1ff655a920bb47a6e9343d1a6d8a9aec9ee4e6c5282c88efd4a95334878cf87\",0,\"number_theory_23133\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008764.lean\",\"ee4e34bdcd136bdae77299fe23b260e6a9087fbe5707cf7a86d02099d53fb142\",0,\"number_theory_73551\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506330,
+      "path": "data/train/p97/numina-001752-0000-64e0f7c1cb744c9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "64e0f7c1cb744c9a31cbfef7a1df03312f88cad16d1253768ddb03d69bc87c29"
+    },
+    {
+      "bytes": 820917,
+      "path": "data/train/p97/numina-001752-0001-b7426ab6ff6b88ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b7426ab6ff6b88eeff1d5d4cb5ee5f896acf46bf8881ec19ca41f9211e027eaa"
+    },
+    {
+      "bytes": 107257,
+      "path": "data/train/p97/numina-001752-0002-6fddd153c61e003d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6fddd153c61e003ddc225002fb5a1ad0c85e125712bc1ef45ec82b1c413c0a1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001753.json b/manifests/batches/numina/001753.json
index ad93f4cc66181955c756d76bc969649f5dbfee9e..6767f5deb1c9580487340b768df1b3ad374ac251 100644
--- a/manifests/batches/numina/001753.json
+++ b/manifests/batches/numina/001753.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001753",
   "batch_fingerprint": "2fb6f32ceae1c2e12547d9841e3b3b403b06848697ef9274f935c07eed9541c5",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001753-0000-a3e76ef3a5f167e2.parquet",
-      "sha256": "a3e76ef3a5f167e2802e001ebbdb72a874a7e356a40b06ad9235bb7bbe7a1b61",
-      "bytes": 530069,
-      "rows": 47,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/train/numina-001753-0001-b8fef769b1accfa8.parquet",
-      "sha256": "b8fef769b1accfa87549a381494ad0f324e44bec496395422f965f2d3114c2a9",
-      "bytes": 128392,
-      "rows": 1,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2666de8b-071f-57a2-9600-5361ee04e7f2",
     "numina:b5cb1dd3-342a-5019-b16d-34f5e3df055b",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008766.lean\",\"08181632e7d2ce0078a4011df995763311f92a582cd920b5f29db3f5609d41fc\",0,\"algebra_296295\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008769.lean\",\"1eaf766596d4f8194f9e9314f1186d3bf808168a8089228f431ad23d71cc919c\",0,\"algebra_611208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 530069,
+      "path": "data/train/pc5/numina-001753-0000-a3e76ef3a5f167e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "a3e76ef3a5f167e2802e001ebbdb72a874a7e356a40b06ad9235bb7bbe7a1b61"
+    },
+    {
+      "bytes": 128392,
+      "path": "data/train/pc5/numina-001753-0001-b8fef769b1accfa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "b8fef769b1accfa87549a381494ad0f324e44bec496395422f965f2d3114c2a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001754.json b/manifests/batches/numina/001754.json
index a586af1279e529b3bf332a4cdc1b9cd475c5e30a..f893bd6981833e47e0a7acb0954981aa073d941d 100644
--- a/manifests/batches/numina/001754.json
+++ b/manifests/batches/numina/001754.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001754",
   "batch_fingerprint": "7a8bc3bbd7b7e787c866577bb017aa9f245763f08fb93703a9a7a4312f5c5d46",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001754-0000-da63b2081bfedc93.parquet",
-      "sha256": "da63b2081bfedc931996af0157fdbecdfb9e89a13096b40f5b80192df2b5e49f",
-      "bytes": 229734,
-      "rows": 17,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/dev/numina-001754-0000-6bfafe608e2c614e.parquet",
-      "sha256": "6bfafe608e2c614e2c5f76c7474d0ed0737898c05efa2a7fc1246c2ef4784769",
-      "bytes": 32880,
-      "rows": 4,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    },
-    {
-      "path": "data/internal_test/numina-001754-0000-e292716dd3a1630b.parquet",
-      "sha256": "e292716dd3a1630bced96d11a78e4d01129f72b080cd1a132ff168bc0c68eb47",
-      "bytes": 340714,
-      "rows": 38,
-      "revision": "6f4ef1faa57735e8cc08393d38fd3634879a7826"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:20804585-ba01-5384-bd0b-253533f49b45",
     "numina:2c407cde-6d60-595c-bc58-d351bc65a09b",
@@ -54,5 +31,28 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008774.lean\",\"f430a491c8db7c1478ddd58f836715c2b7448038abe1213370fcaca2cedd21c8\",0,\"number_theory_4863\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229734,
+      "path": "data/train/p13/numina-001754-0000-da63b2081bfedc93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "da63b2081bfedc931996af0157fdbecdfb9e89a13096b40f5b80192df2b5e49f"
+    },
+    {
+      "bytes": 32880,
+      "path": "data/dev/p13/numina-001754-0000-6bfafe608e2c614e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6bfafe608e2c614e2c5f76c7474d0ed0737898c05efa2a7fc1246c2ef4784769"
+    },
+    {
+      "bytes": 340714,
+      "path": "data/internal_test/p13/numina-001754-0000-e292716dd3a1630b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "e292716dd3a1630bced96d11a78e4d01129f72b080cd1a132ff168bc0c68eb47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001755.json b/manifests/batches/numina/001755.json
index 4c64313b7bbcd651bc30044741fc17eedcdcc466..38c147683ba3f16f5c4c87aa00c5ee7f99832a38 100644
--- a/manifests/batches/numina/001755.json
+++ b/manifests/batches/numina/001755.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001755",
   "batch_fingerprint": "47696eb655dba83e49327be610be59d4e05e2e7372bc5a331b2e2dfaa7da3380",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001755-0000-95987c155829b9e5.parquet",
-      "sha256": "95987c155829b9e5bc4f017b5f3f0b91b0573dae98a591fa85ba64f99605f171",
-      "bytes": 364552,
-      "rows": 49,
-      "revision": "8c039c00613b6452ef25b1753ce8ec78d9dd3195"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01a57e24-70d9-5918-8e35-f22a36f64ad3",
     "numina:6c7a6328-6bec-54fb-82c5-c5064ccc55fa",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008776.lean\",\"ea9968a0c34e609cfe41f10f92fb203b4e8002a246d8b721ce35470edd2ca1e0\",0,\"inequalities_232997\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008777.lean\",\"e37d17ac611d58470e579cc15784811e0488ecd644786a9a777446e423a6fd1a\",0,\"algebra_200645\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008778.lean\",\"441b1ba5a9996622e10a86fe2591fdd3291331c87a280572a9bcabbe20f01359\",0,\"Number_Theory_609888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 364552,
+      "path": "data/train/pc4/numina-001755-0000-95987c155829b9e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "95987c155829b9e5bc4f017b5f3f0b91b0573dae98a591fa85ba64f99605f171"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001756.json b/manifests/batches/numina/001756.json
index 4f3f10427b1e2ef3b867998bd3c41764a7398c79..157623a589077f22d9eef8750b0ad3907cb26a9c 100644
--- a/manifests/batches/numina/001756.json
+++ b/manifests/batches/numina/001756.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001756",
   "batch_fingerprint": "ce7cca1f7a9c8a740a2f4e37f9c8edf448709e6b8f1a4cff2522cac4b28c91d2",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001756-0000-dd28d6f2067d3bc5.parquet",
-      "sha256": "dd28d6f2067d3bc5e7861608b6d2ff4ed20c85126f69be0546a17c50490a91ce",
-      "bytes": 500677,
-      "rows": 68,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    },
-    {
-      "path": "data/train/numina-001756-0001-d8f46c5bab1a4b74.parquet",
-      "sha256": "d8f46c5bab1a4b74668d8c422f2f3372cefb68007b79afb19c0b466e62a98f12",
-      "bytes": 363804,
-      "rows": 4,
-      "revision": "d1c6664e85c92b44860408f16adba1bd28e8fa61"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:05ebda3a-aea5-5323-8eab-be599c40cb39",
     "numina:42350979-91fe-5af4-a358-14be2e2529dc",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008783.lean\",\"8982d0ca83b690339f4fbe7a60aab472c6e90b3083e9ff29cc60514ab603cd06\",0,\"algebra_605196\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008784.lean\",\"68bf98f956e9392f7b2708a7d17dbd8e179952b3897f17d8a10a07c5f65f0636\",0,\"number_theory_605968\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 500677,
+      "path": "data/train/p37/numina-001756-0000-dd28d6f2067d3bc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 68,
+      "sha256": "dd28d6f2067d3bc5e7861608b6d2ff4ed20c85126f69be0546a17c50490a91ce"
+    },
+    {
+      "bytes": 363804,
+      "path": "data/train/p37/numina-001756-0001-d8f46c5bab1a4b74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d8f46c5bab1a4b74668d8c422f2f3372cefb68007b79afb19c0b466e62a98f12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001757.json b/manifests/batches/numina/001757.json
index a6f8673ad5ab2196d4d40e9d7ae6f9476f99ad70..0536dc5cbaffaba0257f78dfeca4140d4c4aff52 100644
--- a/manifests/batches/numina/001757.json
+++ b/manifests/batches/numina/001757.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001757",
   "batch_fingerprint": "b34f918bc65704dc6a521a451dd756a3fa9cbe9ee6909a74f0e0484450020212",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001757-0000-f3adf7d354e38a5e.parquet",
-      "sha256": "f3adf7d354e38a5e676f4c6877c70299ed1b74985b0e050f93fba0396134d8e4",
-      "bytes": 526036,
-      "rows": 40,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/train/numina-001757-0001-4a1538c777dcfb08.parquet",
-      "sha256": "4a1538c777dcfb08fbe47db1775e028a03089920bfa697e03711625d0ed3da6d",
-      "bytes": 242902,
-      "rows": 4,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51f86ad0-71b6-5f77-aebb-ab8cb3ecdce1",
     "numina:63290a4f-d8e8-5f85-9938-0589fe6a3cd1",
@@ -47,5 +31,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 526036,
+      "path": "data/train/p06/numina-001757-0000-f3adf7d354e38a5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "f3adf7d354e38a5e676f4c6877c70299ed1b74985b0e050f93fba0396134d8e4"
+    },
+    {
+      "bytes": 242902,
+      "path": "data/train/p06/numina-001757-0001-4a1538c777dcfb08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4a1538c777dcfb08fbe47db1775e028a03089920bfa697e03711625d0ed3da6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001758.json b/manifests/batches/numina/001758.json
index 2dd93d0db09cb2f184e8ceded6707858d0356ad5..9be90bfe4901e23856e2916594304b7951397db2 100644
--- a/manifests/batches/numina/001758.json
+++ b/manifests/batches/numina/001758.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001758",
   "batch_fingerprint": "30564ac1c62f9acd29a10aa6f71cb3f4822abc5557666eb76d026b25ad1f6def",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001758-0000-67e5a13412f1555d.parquet",
-      "sha256": "67e5a13412f1555d2bb27e44f50642f29a4aaa8a948515fdfef95f41cb7967e2",
-      "bytes": 393154,
-      "rows": 43,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/dev/numina-001758-0000-c278a2cf8aa82b89.parquet",
-      "sha256": "c278a2cf8aa82b8991aa8e198dbfce84701e4330afab775f87cd40e1fe791e31",
-      "bytes": 59318,
-      "rows": 3,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:01eb3f84-9429-5108-934c-65d9f036c591",
     "numina:172df75c-6201-5a57-ad35-1b52b8ff075a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008792.lean\",\"0e0ca4c31bfdf410d7ad45841c3f0f0a44e4076a2a1f1b2c1f468fa61cc0fde6\",0,\"inequalities_289208\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008793.lean\",\"d0cfc99649b76acce8886cd15f7decca7de3611cd674d2ceac1b9b109377cc7e\",0,\"calculus_144021\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008794.lean\",\"eff48bffb3dd2b5dfef2854862d0176cdd0b7f74a59f0c6b84d4085a649d067f\",0,\"algebra_250739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393154,
+      "path": "data/train/p4a/numina-001758-0000-67e5a13412f1555d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "67e5a13412f1555d2bb27e44f50642f29a4aaa8a948515fdfef95f41cb7967e2"
+    },
+    {
+      "bytes": 59318,
+      "path": "data/dev/p4a/numina-001758-0000-c278a2cf8aa82b89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c278a2cf8aa82b8991aa8e198dbfce84701e4330afab775f87cd40e1fe791e31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001759.json b/manifests/batches/numina/001759.json
index 94d46451308d4b1d6ee5288d988e31b704c95024..a73ec58f6a65cefefde237c8ff6044b38464086f 100644
--- a/manifests/batches/numina/001759.json
+++ b/manifests/batches/numina/001759.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001759",
   "batch_fingerprint": "6bf2627724652756b940fa805dc1eed6dac581af367cbecc382875dfb81b6d97",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001759-0000-52b33c77d890d1c3.parquet",
-      "sha256": "52b33c77d890d1c3f2004e5d22fcf2cacdfec5f1d12602bac9e811acc14edcc6",
-      "bytes": 322940,
-      "rows": 50,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4997bb95-eaef-5948-aabe-67e05c06e078",
     "numina:7d83ff1d-0814-5cdd-9bb4-c9cda00ebf8e",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008797.lean\",\"49586bc5b49d849d01e3c3f95da2ba1515fa9983e59f847f58a7c780bda6ea52\",0,\"algebra_21813\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008798.lean\",\"a5a70e9ef979417286a032f72da5d4da7e088a1e24e56f9a584900e1a4a5277a\",0,\"algebra_184028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008799.lean\",\"bdad325586ae284bab457b12b941f19d5da7406bd66bce558e3cf6109a20aadc\",0,\"algebra_14821\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322940,
+      "path": "data/train/pfb/numina-001759-0000-52b33c77d890d1c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 50,
+      "sha256": "52b33c77d890d1c3f2004e5d22fcf2cacdfec5f1d12602bac9e811acc14edcc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001760.json b/manifests/batches/numina/001760.json
index 49708c610e29471c20706f31b0d4d8a8a809400f..6ff322994a12910cce3dabc295025d7909dd82ce 100644
--- a/manifests/batches/numina/001760.json
+++ b/manifests/batches/numina/001760.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001760",
   "batch_fingerprint": "1e86bf32b3e9a8a2b9b2b51695f4617e85be40a422fe2572612fe15cd933f837",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001760-0000-515d2162d86d2862.parquet",
-      "sha256": "515d2162d86d28621c4efc05bdcbea77ab4ea3687c4f4d47a0a127c3011e3aff",
-      "bytes": 272236,
-      "rows": 19,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/numina-001760-0000-00bb0a12a407fd21.parquet",
-      "sha256": "00bb0a12a407fd21cb28337b466fd5fa3ce81bc5e2a1fc8e13924fb9a37da755",
-      "bytes": 24573,
-      "rows": 1,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3ffdf611-6fa0-572a-8c3f-9676e444c498",
     "numina:4d250b5a-24b4-544c-9abd-3ec68efa8b55",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008802.lean\",\"fa0470fce302e9fd749468a86af9e46807e8fffeaf1ca7ec433f56a3bed69c94\",0,\"inequalities_602771\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008803.lean\",\"caaf7e465c18ab3c85234041b5d9e40085bb7c74fb9d2efdb10e0043e8b90058\",1,\"number_theory_4594\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008804.lean\",\"e3b87584b1e9876fea563932fc06bd212427a4601ca9ce3c8751ee94f9e36665\",0,\"algebra_250753\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272236,
+      "path": "data/train/p70/numina-001760-0000-515d2162d86d2862.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "515d2162d86d28621c4efc05bdcbea77ab4ea3687c4f4d47a0a127c3011e3aff"
+    },
+    {
+      "bytes": 24573,
+      "path": "data/internal_test/p70/numina-001760-0000-00bb0a12a407fd21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "00bb0a12a407fd21cb28337b466fd5fa3ce81bc5e2a1fc8e13924fb9a37da755"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001761.json b/manifests/batches/numina/001761.json
index 905287983c1dd7062621c0f427840cec912c01b4..85e88cef08db64997857e693eafb3f9df78cc7bb 100644
--- a/manifests/batches/numina/001761.json
+++ b/manifests/batches/numina/001761.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001761",
   "batch_fingerprint": "7a91e13da22d3f346e35b032da4a1c8a482ff1a916031bd0550af05a45bc7f76",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001761-0000-ba9b63622be7feed.parquet",
-      "sha256": "ba9b63622be7feed1160f5094dde782f29090f968e81e2a1c7baf27a42d54454",
-      "bytes": 372662,
-      "rows": 56,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ccacd70-eef8-5c16-b723-7860c5fe4a0a",
     "numina:72e7bf79-2556-592f-8560-682ba12651a3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008807.lean\",\"06af99958a72ef10536152c432aebb94b3bbdac3fbcf4210b94b9995ea73c3fe\",0,\"inequalities_597741\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008808.lean\",\"72e0fb6d1e8e0eaa8ab7ab69f63e01585978976875e1cf27905fe5a4bfdd2561\",0,\"number_theory_223696\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008809.lean\",\"e8f2cb94b4e0e9166a58545e070c88229e35058e856c75f911cf8759aa9f105a\",0,\"algebra_605419\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372662,
+      "path": "data/train/p42/numina-001761-0000-ba9b63622be7feed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "ba9b63622be7feed1160f5094dde782f29090f968e81e2a1c7baf27a42d54454"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001762.json b/manifests/batches/numina/001762.json
index fdf3f52ecdad4dd7a99df6884206219323cd7e31..bf289af2c814f6ec6dbcd448355e8a2f23dadc73 100644
--- a/manifests/batches/numina/001762.json
+++ b/manifests/batches/numina/001762.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001762",
   "batch_fingerprint": "62bd4633f54503423dce02d438cb10f360e1ece6a0f610c32abdc44a3da4dc0e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001762-0000-fa07ca7341c3a61c.parquet",
-      "sha256": "fa07ca7341c3a61c4e23c5c0261e4dca136ecbdef4afe786cc25efbe3957caff",
-      "bytes": 631550,
-      "rows": 89,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/numina-001762-0000-e50e8d77b2766f7c.parquet",
-      "sha256": "e50e8d77b2766f7c97d8bee520d232399a1d9f936b18afa017c0327d99b5d51c",
-      "bytes": 133883,
-      "rows": 2,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0246acb8-7051-576b-9426-d48ad97bfefd",
     "numina:6dc99514-2030-55db-8c29-55a2915e8ea2",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008812.lean\",\"5d00e71d31987552714660c4f3575fa6b0a1b3c3cf0e724fea23755e101a7926\",0,\"inequalities_92996\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008813.lean\",\"7dea07078698ab239f57519ae861904d689b450c25adec9d155b9dd619f1a93b\",0,\"algebra_281583\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008814.lean\",\"fc05eeb322a1dde1566bdcb1ed0d137b6a2632f2eb4097843603446e6e587a8b\",0,\"number_theory_39761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 631550,
+      "path": "data/train/p9f/numina-001762-0000-fa07ca7341c3a61c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 89,
+      "sha256": "fa07ca7341c3a61c4e23c5c0261e4dca136ecbdef4afe786cc25efbe3957caff"
+    },
+    {
+      "bytes": 133883,
+      "path": "data/internal_test/p9f/numina-001762-0000-e50e8d77b2766f7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e50e8d77b2766f7c97d8bee520d232399a1d9f936b18afa017c0327d99b5d51c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001763.json b/manifests/batches/numina/001763.json
index 8f16361fac275431830a8acd2916ec55a55846a1..ed705caf1fe49a2504b41388d5cbe74223a9f35a 100644
--- a/manifests/batches/numina/001763.json
+++ b/manifests/batches/numina/001763.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001763",
   "batch_fingerprint": "a8d45881e71711a8df688910df33cc325380a3937067d864611d2f008c3d0896",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001763-0000-ac82e28bcf0748ca.parquet",
-      "sha256": "ac82e28bcf0748ca705421a567534b667a11c204232eb7a90286c2634ebb5fbd",
-      "bytes": 249467,
-      "rows": 37,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/numina-001763-0000-2a4bce10fb83573d.parquet",
-      "sha256": "2a4bce10fb83573df2034da54ccd47f3a2fbf963c4644f779ac20f3d0f28b092",
-      "bytes": 44707,
-      "rows": 8,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:25ca4af7-a6ba-5881-b7e0-c2ed6876a4c5",
     "numina:48816beb-a144-5505-bad5-bc71004f50db",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008817.lean\",\"d8d6cae3f02dc2c510caf80d1a3aa798ac2d4f0ca903291f01c82b67044b9e29\",0,\"algebra_8989\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008818.lean\",\"a0b9e6438c4976d00e0e6d10b7fe6c4495ec0ed63c3459659b7e9306752bbe00\",0,\"algebra_1413\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008819.lean\",\"e5da7052c219cf1c2913df28eba49cc07b49b57c02dadf92607c846244c75a11\",0,\"algebra_608398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249467,
+      "path": "data/train/p66/numina-001763-0000-ac82e28bcf0748ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "ac82e28bcf0748ca705421a567534b667a11c204232eb7a90286c2634ebb5fbd"
+    },
+    {
+      "bytes": 44707,
+      "path": "data/internal_test/p66/numina-001763-0000-2a4bce10fb83573d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2a4bce10fb83573df2034da54ccd47f3a2fbf963c4644f779ac20f3d0f28b092"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001764.json b/manifests/batches/numina/001764.json
index 8e76494e2c2fa69f444be0089a1e5a2fd84a5383..934de3d7a956eb5682ed7d6361562eec81bbb326 100644
--- a/manifests/batches/numina/001764.json
+++ b/manifests/batches/numina/001764.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001764",
   "batch_fingerprint": "e3909f03fd915df11e8694704b6bf259e00a4557fc826fcfb46717920adc340c",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001764-0000-cfa786c56e17b653.parquet",
-      "sha256": "cfa786c56e17b6539cfbd06e177156829a31436b05451d480de3f2b9bf0948bc",
-      "bytes": 248933,
-      "rows": 20,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:35dc14d4-c57a-576e-bc38-9aa8cb7fbdf9",
     "numina:798afd91-4b9f-5b91-9c71-7d409e2b49bf",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008822.lean\",\"e237d1dde3371aa6fab1c18648eb822dad4bfb9225d0fed823de42e97839ae24\",0,\"number_theory_130847\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008823.lean\",\"87c47cac0d1bf329e8acd6e457e22692589f9952f91ae6b111e20df0020b182c\",0,\"algebra_605431\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008824.lean\",\"76446aaf0caa3489cc06c1e3c4c4c821478b249674ecfebcaa80296b18a1bf59\",0,\"algebra_207391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248933,
+      "path": "data/train/p80/numina-001764-0000-cfa786c56e17b653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cfa786c56e17b6539cfbd06e177156829a31436b05451d480de3f2b9bf0948bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001765.json b/manifests/batches/numina/001765.json
index 69496f89efdc043c7db5e9027910b89c3c6ec61f..c734cb457745b9bc61f8b8fd6fbc7325abc5f96c 100644
--- a/manifests/batches/numina/001765.json
+++ b/manifests/batches/numina/001765.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001765",
   "batch_fingerprint": "ac789b0c9990d02d8a6340847a8550eab697e1090e60ba81c73059fc791fefc8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001765-0000-0ce342dcb7d60f02.parquet",
-      "sha256": "0ce342dcb7d60f02c8f2138ade45e2fc849cca6f7be50c4e0c73df2283acd2b4",
-      "bytes": 92726,
-      "rows": 7,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/numina-001765-0000-88a34a2132c0d4c1.parquet",
-      "sha256": "88a34a2132c0d4c1ba5f66365fa253beea305688d138cf469394a6fd7a17a320",
-      "bytes": 321011,
-      "rows": 31,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:76c28ffc-b626-5c47-94d2-93f5f92d3b6b",
     "numina:8ca7e2e9-f736-51c3-b3a3-7ff922c306bd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008827.lean\",\"508583f2b84dce8578496eb3e571959423c377bf8f303852198b7722f79bb7bc\",0,\"inequalities_230072\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008828.lean\",\"9473a5f6b8332e6d24086ecd7acdc8a465c1960b7241dd93b9590e483e60e9d5\",0,\"algebra_8991\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008829.lean\",\"b546002352a86f200cfe94fcd8c1245d438ce1ea3a23f49864aaddeb1a2cf719\",0,\"algebra_253827\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92726,
+      "path": "data/train/p87/numina-001765-0000-0ce342dcb7d60f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0ce342dcb7d60f02c8f2138ade45e2fc849cca6f7be50c4e0c73df2283acd2b4"
+    },
+    {
+      "bytes": 321011,
+      "path": "data/internal_test/p87/numina-001765-0000-88a34a2132c0d4c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "88a34a2132c0d4c1ba5f66365fa253beea305688d138cf469394a6fd7a17a320"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001766.json b/manifests/batches/numina/001766.json
index 8fc191ad4c9a28e41934838e859f65751d4a2aa7..85a11d6c3bf6a59198f52ae43b88cb48a33c02d8 100644
--- a/manifests/batches/numina/001766.json
+++ b/manifests/batches/numina/001766.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001766",
   "batch_fingerprint": "036263dc3d2488fae657c7bf0fa8b038899447af510ab4cf6156c6a8a5d5deb8",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001766-0000-8dc9356b8617cc2b.parquet",
-      "sha256": "8dc9356b8617cc2bd91e6b9e9f93fb525c69525175fdd8329a059d7a6a076133",
-      "bytes": 170967,
-      "rows": 22,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/internal_test/numina-001766-0000-528ffd215e7b16c6.parquet",
-      "sha256": "528ffd215e7b16c6ef13a66c74995698b43687927ff88a8ec03376267264ad49",
-      "bytes": 34843,
-      "rows": 3,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b8c7bbb-684b-542a-a1bc-676ff9d11647",
     "numina:1f6c5f2d-fcc4-55e5-8c8a-ad96fb0a68db",
@@ -47,5 +31,21 @@
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008834.lean\",\"065c6fe372fdc743476a36c224676b917d75d1dac5a87e427131f0d74e5e3e0a\",0,\"number_theory_15414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170967,
+      "path": "data/train/p99/numina-001766-0000-8dc9356b8617cc2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "8dc9356b8617cc2bd91e6b9e9f93fb525c69525175fdd8329a059d7a6a076133"
+    },
+    {
+      "bytes": 34843,
+      "path": "data/internal_test/p99/numina-001766-0000-528ffd215e7b16c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "528ffd215e7b16c6ef13a66c74995698b43687927ff88a8ec03376267264ad49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001767.json b/manifests/batches/numina/001767.json
index 1eacb2aadffb1cd8570b4ebf67d58cd1e885a79e..298b63c430bc2c0993d7f03dba8f130f7bbfce85 100644
--- a/manifests/batches/numina/001767.json
+++ b/manifests/batches/numina/001767.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001767",
   "batch_fingerprint": "46a99686fb52954e1b1e71a8ae4e2505dffbcc7d76047c3280368b2c9be291df",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001767-0000-b7d94b7a503d78ed.parquet",
-      "sha256": "b7d94b7a503d78ed8115e9990d4c48b30a8c0159f9adf61cd808e91a67ba81a7",
-      "bytes": 668150,
-      "rows": 45,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    },
-    {
-      "path": "data/train/numina-001767-0001-8b7d5dcbd3ce875c.parquet",
-      "sha256": "8b7d5dcbd3ce875c98605758e394228972a119b15c65dbd50be40f81c468c48a",
-      "bytes": 159329,
-      "rows": 5,
-      "revision": "f9328e27555cf72ac097bd6bbb0115855ed7ef3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a3d748b-3523-5b08-b374-6122199b6054",
     "numina:7d157c71-b6fc-5cf0-a2cb-fad979628aa2",
@@ -47,5 +31,21 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 668150,
+      "path": "data/train/p56/numina-001767-0000-b7d94b7a503d78ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "b7d94b7a503d78ed8115e9990d4c48b30a8c0159f9adf61cd808e91a67ba81a7"
+    },
+    {
+      "bytes": 159329,
+      "path": "data/train/p56/numina-001767-0001-8b7d5dcbd3ce875c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8b7d5dcbd3ce875c98605758e394228972a119b15c65dbd50be40f81c468c48a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001768.json b/manifests/batches/numina/001768.json
index 46f4fe552ac9a30a8f6cb03df3876f9304211518..6bf3f0a6ee52aae5d0ebab5f20c994000e8bd386 100644
--- a/manifests/batches/numina/001768.json
+++ b/manifests/batches/numina/001768.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001768",
   "batch_fingerprint": "ada13207af49fd29ca54035dbe543ad94a831d308449644592dc1be383765663",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001768-0000-7ad633aad6c35558.parquet",
-      "sha256": "7ad633aad6c35558bc345e036ecdcd89c9de1a0818ff2d0c877b20a75e88c033",
-      "bytes": 417275,
-      "rows": 40,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10fd318c-80b8-5161-89d9-228d593f3df7",
     "numina:7e5f4817-0cb4-52ba-b6a6-ebe4a54c8792",
@@ -40,5 +31,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 417275,
+      "path": "data/train/p70/numina-001768-0000-7ad633aad6c35558.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "7ad633aad6c35558bc345e036ecdcd89c9de1a0818ff2d0c877b20a75e88c033"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001769.json b/manifests/batches/numina/001769.json
index 87a7dbd129d4d59bb9425993edfafaa8f573a90f..7682e8bf7dbe01f7163d3ceb81e25a81ec9d5327 100644
--- a/manifests/batches/numina/001769.json
+++ b/manifests/batches/numina/001769.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001769",
   "batch_fingerprint": "8c58c4a177e250fd3ea141b017b201b810bde12e7ae719e366bc1e3a31942d74",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001769-0000-12b9deb40eb4d827.parquet",
-      "sha256": "12b9deb40eb4d8276f44437b96e4cc270e856dc756a4ec37c1badbb4cdf2ef92",
-      "bytes": 430676,
-      "rows": 38,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0b8d80ab-1b09-5034-a74b-a576ecc6b7a5",
     "numina:17ad1f45-aeb5-50a8-b867-f3f835205743",
@@ -40,5 +31,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 430676,
+      "path": "data/train/pe6/numina-001769-0000-12b9deb40eb4d827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "12b9deb40eb4d8276f44437b96e4cc270e856dc756a4ec37c1badbb4cdf2ef92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001770.json b/manifests/batches/numina/001770.json
index 8b4715ae53c44abbf4013bd867f243714f8aa2be..719f79f54428c1417cab161e215129ef4a0b97f1 100644
--- a/manifests/batches/numina/001770.json
+++ b/manifests/batches/numina/001770.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001770",
   "batch_fingerprint": "3e9f10f13c727836c73551b0207e3171b56d1fdf8b6d0261625d020575f9bcc7",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001770-0000-af8bea0a0e8b82c6.parquet",
-      "sha256": "af8bea0a0e8b82c61326d5a97906e5c7f399eb5161ad304644914255bcdb3153",
-      "bytes": 543578,
-      "rows": 63,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0aa85a3c-8bc4-56fa-9970-460421dc7c98",
     "numina:64c6ccf2-1496-55e9-9b14-0d108278c193",
@@ -40,5 +31,14 @@
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+  ],
+  "shards": [
+    {
+      "bytes": 543578,
+      "path": "data/train/p64/numina-001770-0000-af8bea0a0e8b82c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "af8bea0a0e8b82c61326d5a97906e5c7f399eb5161ad304644914255bcdb3153"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001771.json b/manifests/batches/numina/001771.json
index 6b4fabb03cf36db7364c49d29319a1d5ab8e7274..fc702524936dcec24ac567afc7d4260b08f72da2 100644
--- a/manifests/batches/numina/001771.json
+++ b/manifests/batches/numina/001771.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001771",
   "batch_fingerprint": "aaf0cc50f37999dde0411b0291c7f4040f3e11838ff8a79d820005f8603de837",
   "evidence": {
@@ -18,29 +17,7 @@
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     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001771-0000-9773445bb4f7cf7a.parquet",
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-      "rows": 6,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
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-      "sha256": "4a3017411631376d2c6a122db790617be54c160c4e498d567e62494384001148",
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-      "rows": 6,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    },
-    {
-      "path": "data/train/numina-001771-0002-f32ea71454ad163f.parquet",
-      "sha256": "f32ea71454ad163f010a1307ab024002a0c3205de47dedb4e8cc57f14d2f6298",
-      "bytes": 322761,
-      "rows": 5,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0568e45f-36d6-543b-97eb-c9c5277c25d1",
     "numina:07f20614-5cee-5cc0-9cb4-b5971697fec1",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008857.lean\",\"a50b1c8d3ac9495202bc8b6ac7540dfdaff6589b6604766b599f465c31a62620\",0,\"algebra_94227\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008858.lean\",\"dc3f4089b79239b5ef7a01b1a80236ede0f9c9eb3964a724206f0ed7b8e4b739\",0,\"algebra_608794\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008859.lean\",\"9109c9febdb9b5f3893c206dc2aaec60c379a09fad0113f419593cda9be82795\",0,\"number_theory_258951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348554,
+      "path": "data/train/p5e/numina-001771-0000-9773445bb4f7cf7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9773445bb4f7cf7a41f965e01038738c6bfd35e5c524beb44013d08fca7c980f"
+    },
+    {
+      "bytes": 490744,
+      "path": "data/train/p5e/numina-001771-0001-4a3017411631376d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4a3017411631376d2c6a122db790617be54c160c4e498d567e62494384001148"
+    },
+    {
+      "bytes": 322761,
+      "path": "data/train/p5e/numina-001771-0002-f32ea71454ad163f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f32ea71454ad163f010a1307ab024002a0c3205de47dedb4e8cc57f14d2f6298"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001772.json b/manifests/batches/numina/001772.json
index 34781d9691824efb21d8f39fecb538b50565b963..dacfa8ae31fdd4464464eadb0272618e17186073 100644
--- a/manifests/batches/numina/001772.json
+++ b/manifests/batches/numina/001772.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001772",
   "batch_fingerprint": "430dd7f091a513a4ba19adf03df4b2a448137ba1ffdcb2596644db591ea39970",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001772-0000-b7521b77bf8a82d2.parquet",
-      "sha256": "b7521b77bf8a82d2b828bbddc17f21251b82ac09dc4d4add055d0b9dbece2f2e",
-      "bytes": 595817,
-      "rows": 71,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b0c4e44-7c4e-55be-8a62-71f2d1ca4d6e",
     "numina:642b5a20-7393-5e6f-b36c-49c545172936",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008862.lean\",\"cdef75b49c8c72d721676cf4f30cac12a511b1f510faca49185accd611db1e91\",0,\"number_theory_131007\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008863.lean\",\"309b51c53419044dea0c2ec12d6c1bfd5dd383a7f9903f1638af7bb7fdb93e4e\",0,\"number_theory_241506\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008864.lean\",\"de88bf14208ea0742091d31d658cbdedcbd1da7f67e01441b98802b4423a4e5a\",0,\"number_theory_605203\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595817,
+      "path": "data/train/pe8/numina-001772-0000-b7521b77bf8a82d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 71,
+      "sha256": "b7521b77bf8a82d2b828bbddc17f21251b82ac09dc4d4add055d0b9dbece2f2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001773.json b/manifests/batches/numina/001773.json
index ddf000d0c954586c846d132d84ad4f0dfb2373cc..409bedc8000e0e6314202bae3e96259c22fb2f46 100644
--- a/manifests/batches/numina/001773.json
+++ b/manifests/batches/numina/001773.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001773",
   "batch_fingerprint": "cf4555cc06f0238272ad747df75c7b269ff8adbfdbb2b162091c70008b74ef6d",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:12d9ec9d-20dc-5372-9a50-3f47696029d0",
+    "numina:4fd720f4-96c7-573e-b9d6-5bc4b84640fd",
+    "numina:58969aa7-492b-59a5-a719-bb2859263c9a",
+    "numina:62307c2b-a632-5e3e-9b68-6769084a2bc3",
+    "numina:6a7e9054-4c53-522d-aaee-c599b09932cc"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008865.lean\",\"017337003371cb2809459270cb6555dbf94388438959f7eec2104a72dcb04825\",0,\"number_theory_286511\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008866.lean\",\"ae8629a25a87b6b7f86598bcdb9d062352d5d3499217d218a8f920af7e2f6cc5\",0,\"algebra_23950\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008867.lean\",\"aa5628998d860b4dc9d375729d9f7c0723e7da3477b68d9c82af272296e31346\",0,\"algebra_5131\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008868.lean\",\"145de0934641d34a5bf985d329e28d9bdf35621e439879f3811b749c8ac6098a\",0,\"algebra_608829\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008869.lean\",\"8dc1880d312b1acc08468a27b189c18655414554328acce121618b056d412538\",0,\"algebra_281833\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001773-0000-f20d85c7d1be3d25.parquet",
-      "sha256": "f20d85c7d1be3d257ab488feea1a4c7791fc350756ce85e5de6e200606b59086",
       "bytes": 196178,
+      "path": "data/train/p90/numina-001773-0000-f20d85c7d1be3d25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
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-      "sha256": "6c60116cd5e72e45b5389eb8ebe8ead3fc2b975d4b70dcb33d4d9d568f2821e2",
       "bytes": 637032,
+      "path": "data/train/p90/numina-001773-0001-6c60116cd5e72e45.parquet",
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       "rows": 1,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
+      "sha256": "6c60116cd5e72e45b5389eb8ebe8ead3fc2b975d4b70dcb33d4d9d568f2821e2"
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     {
-      "path": "data/train/numina-001773-0002-22ceaa966e632e08.parquet",
-      "sha256": "22ceaa966e632e089812b17104e0348bbc6d9601ed6839ba78fd7cd0ea782b6f",
       "bytes": 301457,
+      "path": "data/train/p90/numina-001773-0002-22ceaa966e632e08.parquet",
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       "rows": 34,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
+      "sha256": "22ceaa966e632e089812b17104e0348bbc6d9601ed6839ba78fd7cd0ea782b6f"
     },
     {
-      "path": "data/internal_test/numina-001773-0000-42c874b6e7bf27a3.parquet",
-      "sha256": "42c874b6e7bf27a3dfdeeaf3c23ae09e8a38c42921c5677aa5d9ac25cd0cbad6",
       "bytes": 61360,
+      "path": "data/internal_test/p90/numina-001773-0000-42c874b6e7bf27a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "037caa09f0fd0995f0875de7582f8c1f7ced9418"
+      "sha256": "42c874b6e7bf27a3dfdeeaf3c23ae09e8a38c42921c5677aa5d9ac25cd0cbad6"
     }
-  ],
-  "proof_ids": [
-    "numina:12d9ec9d-20dc-5372-9a50-3f47696029d0",
-    "numina:4fd720f4-96c7-573e-b9d6-5bc4b84640fd",
-    "numina:58969aa7-492b-59a5-a719-bb2859263c9a",
-    "numina:62307c2b-a632-5e3e-9b68-6769084a2bc3",
-    "numina:6a7e9054-4c53-522d-aaee-c599b09932cc"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008865.lean\",\"017337003371cb2809459270cb6555dbf94388438959f7eec2104a72dcb04825\",0,\"number_theory_286511\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008866.lean\",\"ae8629a25a87b6b7f86598bcdb9d062352d5d3499217d218a8f920af7e2f6cc5\",0,\"algebra_23950\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008867.lean\",\"aa5628998d860b4dc9d375729d9f7c0723e7da3477b68d9c82af272296e31346\",0,\"algebra_5131\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008868.lean\",\"145de0934641d34a5bf985d329e28d9bdf35621e439879f3811b749c8ac6098a\",0,\"algebra_608829\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008869.lean\",\"8dc1880d312b1acc08468a27b189c18655414554328acce121618b056d412538\",0,\"algebra_281833\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001774.json b/manifests/batches/numina/001774.json
index 3a1357405f806e443a039f4ee8d33dee2de36f3b..b79f826d9c01da947d4b44864f85b724bb3030e7 100644
--- a/manifests/batches/numina/001774.json
+++ b/manifests/batches/numina/001774.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001774",
   "batch_fingerprint": "7beacf34685ce11f02326673300aa0276e3119bbd63b7d0207a727eb6c839be3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001774-0000-cfbf307251dcc920.parquet",
-      "sha256": "cfbf307251dcc920873cc4c7cb59b1dff81e22626cdcadc119c6e7d047d4dc66",
-      "bytes": 521791,
-      "rows": 43,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:06f231d7-8ed3-5d8c-81dd-1274feb8cfc5",
     "numina:b979f399-3a86-5176-9c3a-e8df1b427b35",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008872.lean\",\"024c829dcdc15f86277bcbf872fd262b1ac6481bbde5a50ce5bba839d29cdf1b\",0,\"number_theory_241515\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008873.lean\",\"fe30a80c5f549dee5c4577b654d7c65a37316e387b5c63368df78c97bff5dd8d\",0,\"number_theory_181976\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008874.lean\",\"d3e9db1adceccf809ce15893b5ef3dc9a572ff73d3738eb2ea23353e3df195bb\",0,\"algebra_9768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521791,
+      "path": "data/train/p30/numina-001774-0000-cfbf307251dcc920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "cfbf307251dcc920873cc4c7cb59b1dff81e22626cdcadc119c6e7d047d4dc66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001775.json b/manifests/batches/numina/001775.json
index 02eddb6ed33f4d5d064e699e3219226989b7864d..8478f199b6fbc7f3e81533700a495cda4ca74991 100644
--- a/manifests/batches/numina/001775.json
+++ b/manifests/batches/numina/001775.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001775",
   "batch_fingerprint": "c5e630b78e974c5d8a8b85402727359ae81b227c905df4b9c6d40a4f44a8d382",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001775-0000-a22d009321a45963.parquet",
-      "sha256": "a22d009321a4596399c33dbdd05218fb3008bf8f6932c5ccfa9b268492b7f7c6",
-      "bytes": 425331,
-      "rows": 30,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:149000e5-ac54-560c-a3f1-73a24291091d",
     "numina:223e36f1-fc9c-5dcd-b2e8-a9e364033736",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008877.lean\",\"02cbb4b5138242bf16c6fdd65bf720bb418f233766c59342eb0931c9c6f4c602\",0,\"number_theory_607685\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008878.lean\",\"05180099f3c1bc0387c565817afdf064b52576c635639bcd3293366b30d47d4d\",0,\"inequalities_91135\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008879.lean\",\"71bc6dbf8871f2bd8ce04c3bc61acd012a209f01cf83d2b811b61ea343736533\",1,\"number_theory_4548_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425331,
+      "path": "data/train/p37/numina-001775-0000-a22d009321a45963.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "a22d009321a4596399c33dbdd05218fb3008bf8f6932c5ccfa9b268492b7f7c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001776.json b/manifests/batches/numina/001776.json
index 5c1ee64d4ad34094f2b0ad153c4378dcb91013be..fca0f7878cffdc70d82afe82cba55d1137dd36fa 100644
--- a/manifests/batches/numina/001776.json
+++ b/manifests/batches/numina/001776.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001776",
   "batch_fingerprint": "e492b65a580673b42fd53ff92778dfa21959ba40ea4165569c3fbf754469bf3f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001776-0000-f9d9e605fc49d952.parquet",
-      "sha256": "f9d9e605fc49d95270d6025434b01c291aa5588a9b69abe1db8d75a6a09a1510",
-      "bytes": 166546,
-      "rows": 18,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:082e98b4-ac1d-52f3-bcbc-8f177a2e4019",
     "numina:2b881b04-c770-5abe-b113-30a91d923a17",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008882.lean\",\"3d21416036364edaa65791a2bf22ef01e7a6e39ba6fbb2e5d2e4a8d660bd8229\",0,\"algebra_19359\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008883.lean\",\"2e322186535534bba0e737102ae015cb2f4bc3687012bc60557fb40d51014f4e\",0,\"number_theory_22783\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008884.lean\",\"be63c2f3b00623aea16a30f2bca9e4cb46b88a8c926c0716ac87361fb0737620\",0,\"inequalities_602070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166546,
+      "path": "data/train/ped/numina-001776-0000-f9d9e605fc49d952.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f9d9e605fc49d95270d6025434b01c291aa5588a9b69abe1db8d75a6a09a1510"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001777.json b/manifests/batches/numina/001777.json
index 821cd7307a1cc8a1bf9c8436774695a5668defeb..f993f8c0447ea7a15833f67dbbfa95b4ca604331 100644
--- a/manifests/batches/numina/001777.json
+++ b/manifests/batches/numina/001777.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001777",
   "batch_fingerprint": "4623beb9d8c29ee90014aae7384f89275e4ca24888b774681aadf49f3025b936",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001777-0000-ac7b47eb0784aa64.parquet",
-      "sha256": "ac7b47eb0784aa64106e120374068d94804a4d38f8787d9aeb97f2e75b628f88",
-      "bytes": 642611,
-      "rows": 15,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    },
-    {
-      "path": "data/internal_test/numina-001777-0000-45bd07e1e8f0eac1.parquet",
-      "sha256": "45bd07e1e8f0eac1dc12a16c58cce00e8f8620aa11f2ca04e6c7d79cdb49bd83",
-      "bytes": 89704,
-      "rows": 5,
-      "revision": "9d00f84aa956a2eb3e9d7ceeecfc9de1d67ec314"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46d28f43-0328-51e8-82c7-0def653c3a28",
     "numina:66445314-b6ba-55eb-9be3-64f979fa7dfe",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008887.lean\",\"a99de458b6bf96e5438ccb61f797a9628777aca46bbdb8bb0b9d0c59412614da\",0,\"algebra_608910\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008888.lean\",\"9d2b64ba1c267f3f7446f859d3549c16a68d9cc5d04ba2033ec0931b0e91b449\",0,\"algebra_208088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008889.lean\",\"92e3c68c5eaa0758e60aa4eb48852b36fedc7570262834492c8baf6229ed5c7d\",0,\"inequalities_282331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 642611,
+      "path": "data/train/p51/numina-001777-0000-ac7b47eb0784aa64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ac7b47eb0784aa64106e120374068d94804a4d38f8787d9aeb97f2e75b628f88"
+    },
+    {
+      "bytes": 89704,
+      "path": "data/internal_test/p51/numina-001777-0000-45bd07e1e8f0eac1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "45bd07e1e8f0eac1dc12a16c58cce00e8f8620aa11f2ca04e6c7d79cdb49bd83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001778.json b/manifests/batches/numina/001778.json
index 783edcea9b95f3eb74228d27ad003f42470869c8..f5bfb131959108bbf2fecf32d70df3f531464b71 100644
--- a/manifests/batches/numina/001778.json
+++ b/manifests/batches/numina/001778.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001778",
   "batch_fingerprint": "3d4f36f69fa6220959a180ac295777164abf5d6f36af9f5fd234fd77bf1253f3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001778-0000-c3e82931c1842453.parquet",
-      "sha256": "c3e82931c18424537d0b4e20387e9e25673879f37f7a144a46be2989e55ad4c7",
-      "bytes": 150187,
-      "rows": 16,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/numina-001778-0000-88b556cdb3df311b.parquet",
-      "sha256": "88b556cdb3df311b5780c2da0ea2b48c3b8b55a610c1fed1cfb4fc60c323d56e",
-      "bytes": 122025,
-      "rows": 3,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:252baa8c-4b55-5e2f-b838-4ca939b9cf8c",
     "numina:6c5900d5-b84a-5417-abbb-4346997f96e5",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008892.lean\",\"0e8fa9b4564ebffa2b5146c49c9267c38ae2aa44d135e1193969a27641516c30\",0,\"algebra_606264\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008893.lean\",\"87aea9fca162eb0bec47544ae008e70cbe19c935dfff92aa3548c3b01b024c85\",0,\"number_theory_286882\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008894.lean\",\"6f1101640217d6501c9e8154d5614264f20ad46f3263007b677506b40873a141\",0,\"number_theory_4554\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150187,
+      "path": "data/train/p09/numina-001778-0000-c3e82931c1842453.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c3e82931c18424537d0b4e20387e9e25673879f37f7a144a46be2989e55ad4c7"
+    },
+    {
+      "bytes": 122025,
+      "path": "data/internal_test/p09/numina-001778-0000-88b556cdb3df311b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88b556cdb3df311b5780c2da0ea2b48c3b8b55a610c1fed1cfb4fc60c323d56e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001779.json b/manifests/batches/numina/001779.json
index 784dcaec290cead4046d80059f499e4e706e4667..ab29f45db47f043c90a14083c144f31e072a3fc2 100644
--- a/manifests/batches/numina/001779.json
+++ b/manifests/batches/numina/001779.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001779",
   "batch_fingerprint": "5b7400dc4523c9facb60aa2b666d66d2ee75178a1e2dca19e7ee4436d775061b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001779-0000-50404b021a10f6f8.parquet",
-      "sha256": "50404b021a10f6f8b29766acbd1a84937853a2a2e7456c126e53ddf75e924c91",
-      "bytes": 406075,
-      "rows": 57,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:26be51ce-a7b3-5e28-85b6-6a9534bd5467",
     "numina:4bcb9bd4-ca2e-5ecb-9e48-fded20ff1869",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008897.lean\",\"66653f0c79a75e516be8d6207aa2f355f71fb02de16e7ba6abf41f738fd21d93\",0,\"inequalities_72088\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008898.lean\",\"3f3a499d1744391f562e72591f6d20a7211016ed09c77d7644bcd7c1f07ac033\",0,\"algebra_156370\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008899.lean\",\"4ab2671be7c60080bceb51f7e22bd3c75341e5cd9ec738c1fe5a15d27a802d20\",0,\"algebra_96241\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406075,
+      "path": "data/train/p53/numina-001779-0000-50404b021a10f6f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 57,
+      "sha256": "50404b021a10f6f8b29766acbd1a84937853a2a2e7456c126e53ddf75e924c91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001780.json b/manifests/batches/numina/001780.json
index 0ac37bb751e04e2cd2c67f3664f52528fba9f692..55840334cfc2565879f75ce5d95b5e0770d48de0 100644
--- a/manifests/batches/numina/001780.json
+++ b/manifests/batches/numina/001780.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001780",
   "batch_fingerprint": "6d05dc6960045171c1fce84ac33e26de61becd828c57b8f93380d2111ed95abb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001780-0000-9bbaf6515ef4aa0d.parquet",
-      "sha256": "9bbaf6515ef4aa0d4ac8fc4dfb29257f1858e6f8dcc6a5e6e3ceae0630443aaf",
-      "bytes": 210475,
-      "rows": 30,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b873165-22d4-52d4-91c2-3cae919911ff",
     "numina:41624ef7-bd34-56b5-8e75-a6824c5320af",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008902.lean\",\"366f01aefcf1f39fe4bfd8d9a48ec983dd0c084e902b11e29466c60b6d2f7699\",0,\"inequalities_602273\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008903.lean\",\"0d700d94851a9f1b9775d1fccdd8df3f4672b6d0673766a75961c2e5ca26d967\",0,\"number_theory_4555\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008904.lean\",\"7682afc4c3c980643eb54e4df85028976af494d4b5bdadf50e4bf44eb38cbd32\",0,\"algebra_223455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210475,
+      "path": "data/train/p37/numina-001780-0000-9bbaf6515ef4aa0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "9bbaf6515ef4aa0d4ac8fc4dfb29257f1858e6f8dcc6a5e6e3ceae0630443aaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001781.json b/manifests/batches/numina/001781.json
index 88031fa14dd24a48511f9128467d6bea40064e5b..866891f17d9924dcc1663f97439d3c395a895c4f 100644
--- a/manifests/batches/numina/001781.json
+++ b/manifests/batches/numina/001781.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001781",
   "batch_fingerprint": "a04ab507a6309fce57a82c46021488bab77babb11795c9cfb2fbb67bce27cb0f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001781-0000-ba16bdff7c6bcbe5.parquet",
-      "sha256": "ba16bdff7c6bcbe54eda246726a59c16d172b772ccfc3dc47309da6d4bb1a55e",
-      "bytes": 106831,
-      "rows": 17,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/numina-001781-0000-36a269e2ae29c52f.parquet",
-      "sha256": "36a269e2ae29c52f3e939e56c85a8138b7dc10f0d9adbe8ddd206530b958992a",
-      "bytes": 153983,
-      "rows": 10,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:041cccd6-9a33-58ff-a27d-83530eb0caa0",
     "numina:103098e3-59e9-5c01-bdf5-c54bf01c8bad",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008907.lean\",\"1417bb27575ef2e8835a93692dad48e5aaa6c98013fed60b456ab7df428565ba\",0,\"inequalities_602731\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008908.lean\",\"7f0228e967a15b42965164289b5778aa14b1f2b17a572b6d989db3fc1d037150\",0,\"inequalities_249099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008909.lean\",\"7740af2017a8d89afcb76ec6a847e9f25d0b0533ceffda8d818e049fd83729c1\",0,\"number_theory_240617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106831,
+      "path": "data/train/pa5/numina-001781-0000-ba16bdff7c6bcbe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ba16bdff7c6bcbe54eda246726a59c16d172b772ccfc3dc47309da6d4bb1a55e"
+    },
+    {
+      "bytes": 153983,
+      "path": "data/internal_test/pa5/numina-001781-0000-36a269e2ae29c52f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "36a269e2ae29c52f3e939e56c85a8138b7dc10f0d9adbe8ddd206530b958992a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001782.json b/manifests/batches/numina/001782.json
index 40e9c6f1c0f9bff20e35a41e811805593118afa0..f3e59bc6c3d70cb37972b867e102cff7631d187f 100644
--- a/manifests/batches/numina/001782.json
+++ b/manifests/batches/numina/001782.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001782",
   "batch_fingerprint": "8d649cf1d22f206fc7cfcfa6bf35218c95a3b6b30ea8d6524e723d1471f7e5d8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001782-0000-3b0f6d2ca27cc1ef.parquet",
-      "sha256": "3b0f6d2ca27cc1ef74a581491daa515a7fbd532cf9d7cdd5a027c3a3b858435b",
-      "bytes": 426098,
-      "rows": 20,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04baaa88-8d0a-514c-83d3-cb4e2fd5a15d",
     "numina:59c18eca-ca7f-50c6-8aa6-f7f6988142c4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008912.lean\",\"704a08b2eb2176b15c31f73197559fdb1736248afe4387e4e355730a92fef966\",0,\"inequalities_128869\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008913.lean\",\"988059b30cf29f1bb7cc242a0fecc9ae48971394ac2bcce2294705f56e6e2f14\",0,\"algebra_610028\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008914.lean\",\"cf74bcf23eaa588a799e26036151ba708ec8b9abe3a3c21d8b11cfebd7a5368d\",0,\"algebra_182111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426098,
+      "path": "data/train/p65/numina-001782-0000-3b0f6d2ca27cc1ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3b0f6d2ca27cc1ef74a581491daa515a7fbd532cf9d7cdd5a027c3a3b858435b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001783.json b/manifests/batches/numina/001783.json
index 99614086845fc2b30f744cec85ca0aa5f8434a25..2fe5f9f99f15f67fa9954301a504b4fd181568eb 100644
--- a/manifests/batches/numina/001783.json
+++ b/manifests/batches/numina/001783.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001783",
   "batch_fingerprint": "954bb49fd104f79ba920794d3baf241349f5fb25208d3c0d5b20e4809966221f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001783-0000-ae092167e7b97b7e.parquet",
-      "sha256": "ae092167e7b97b7edbbe62adb289f80b2363cdf59a5f4d2675de0b8de890f06d",
-      "bytes": 127889,
-      "rows": 20,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/numina-001783-0000-3d1b54ff3ccf796e.parquet",
-      "sha256": "3d1b54ff3ccf796eccde2cef820db7cfe0a09d37c6c92004bcd114ed9a79f48f",
-      "bytes": 42561,
-      "rows": 4,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30392062-9f49-556c-b4a3-69d99815349c",
     "numina:450ac881-0b82-5304-b287-446ce63abb1d",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008917.lean\",\"05d50d56822d58b1ee613600ba50b18d1d1b929266fe8ce5ecd7117da05b5c10\",0,\"algebra_14631\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008918.lean\",\"d6fc2b718566d65c65ef81ca86fb3385c213f482d7543df95c2bab9f09d1b746\",0,\"inequalities_602768\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008919.lean\",\"941a9c98dc18d431f1c651a799cc4ce3afe2cf140e903e5638943115b19739a8\",1,\"number_theory_4514_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127889,
+      "path": "data/train/p40/numina-001783-0000-ae092167e7b97b7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ae092167e7b97b7edbbe62adb289f80b2363cdf59a5f4d2675de0b8de890f06d"
+    },
+    {
+      "bytes": 42561,
+      "path": "data/internal_test/p40/numina-001783-0000-3d1b54ff3ccf796e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3d1b54ff3ccf796eccde2cef820db7cfe0a09d37c6c92004bcd114ed9a79f48f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001784.json b/manifests/batches/numina/001784.json
index 78cedb607e0129db2597145f2cc73eb543480ac0..83a91160f1e201a58c4cc9f3951a360a847aff96 100644
--- a/manifests/batches/numina/001784.json
+++ b/manifests/batches/numina/001784.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001784",
   "batch_fingerprint": "f1201fa625d8ef0f484afd238e2fafdf0d1ea74fa85022d2127bfeb47eeeb1c3",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001784-0000-63f03f74239fc150.parquet",
-      "sha256": "63f03f74239fc150101103f09b56cfb62f2c0caaf515ae9867a30c0bac4472fa",
-      "bytes": 313523,
-      "rows": 25,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07672585-652a-5320-9969-bac00038926d",
     "numina:085513ab-357e-5e13-9287-ff8df001f57a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008922.lean\",\"061f389f12fa1e36f63d55f2b2e5ab7858e61b850bd7cb84195a8fc8f4d85d34\",0,\"algebra_137434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008923.lean\",\"3b5632b05c581f0401297c4f1e4a38d2f0d003bd71020668222adedd963737ce\",0,\"inequalities_200521\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008924.lean\",\"3b713f28a7c71fb8f72b458eac435fda2d988f40c1ab08a047fc700fbcf74ab8\",0,\"number_theory_116040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313523,
+      "path": "data/train/p8b/numina-001784-0000-63f03f74239fc150.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "63f03f74239fc150101103f09b56cfb62f2c0caaf515ae9867a30c0bac4472fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001785.json b/manifests/batches/numina/001785.json
index 6f22f9ea50e64838f764f98cad4a793925a54432..efc2d1e68a374d0294634f85915b8c453abdbab2 100644
--- a/manifests/batches/numina/001785.json
+++ b/manifests/batches/numina/001785.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001785",
   "batch_fingerprint": "285d3640e3910bd8223053894269e917f9975c13748fb0a754bad3b7dcd9cf2b",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001785-0000-e9cd3f3a84946a32.parquet",
-      "sha256": "e9cd3f3a84946a32016ede6f2e2436e8a6682f3988ec9c880576b49f5d272d68",
-      "bytes": 49903,
-      "rows": 13,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    },
-    {
-      "path": "data/internal_test/numina-001785-0000-626530b2eab08cf8.parquet",
-      "sha256": "626530b2eab08cf839da4b91882ec703610137ed81bf113c70b59a879c75ef84",
-      "bytes": 119600,
-      "rows": 11,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e075d00-9796-546d-ab9d-8b105f37dac3",
     "numina:334d1633-8f89-5539-94a0-bd4681429b5e",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008926.lean\",\"b8973a93f742ba3e3b2d63c3acb37764851b8f9baa9cf40ea41e5933663832c7\",0,\"algebra_20567\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008927.lean\",\"5eb51911944be8f2f279219a73d6fea1463ea2ec03a388b3168b6d29177c22e8\",0,\"algebra_240720\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008928.lean\",\"08c999744b744be0d2a96920dd7b54df4d94c4ad75f814d96228da1fd5ee80ec\",0,\"number_theory_4515\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49903,
+      "path": "data/train/p43/numina-001785-0000-e9cd3f3a84946a32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e9cd3f3a84946a32016ede6f2e2436e8a6682f3988ec9c880576b49f5d272d68"
+    },
+    {
+      "bytes": 119600,
+      "path": "data/internal_test/p43/numina-001785-0000-626530b2eab08cf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "626530b2eab08cf839da4b91882ec703610137ed81bf113c70b59a879c75ef84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001786.json b/manifests/batches/numina/001786.json
index 959a88f86c62db41c5e1b85db870611436092081..257def337a502aa04b44c902aa3cbd14f585bc44 100644
--- a/manifests/batches/numina/001786.json
+++ b/manifests/batches/numina/001786.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001786",
   "batch_fingerprint": "0262fb5afa73bf9ab72658781a0391a7906e7e47c7f8f56bca49719a1c4c3831",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001786-0000-a2a7557126294827.parquet",
-      "sha256": "a2a7557126294827579ab3a4fd6036fe35387c621a3368ac8852db2396b13cd7",
-      "bytes": 645794,
-      "rows": 45,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2fde2018-13e8-5a55-9145-a1fc443fe9ad",
     "numina:4cffc8e6-6e3a-5e99-90f5-20f21d66c918",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008932.lean\",\"bd091306a27999ab22b14a6b3a905184f452e8be0a18df5f4a2d65135f609e87\",0,\"algebra_240729\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008933.lean\",\"c3a3570bc5109f538ec34d9b0b421a48c92c4d25817fed29e0c97417725def0f\",0,\"algebra_253423\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008934.lean\",\"aad016008510d62b8042465738bad44460724caef5959fd535b9779df3bfc173\",1,\"number_theory_4516_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 645794,
+      "path": "data/train/pe5/numina-001786-0000-a2a7557126294827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "a2a7557126294827579ab3a4fd6036fe35387c621a3368ac8852db2396b13cd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001787.json b/manifests/batches/numina/001787.json
index 0f036cac646fff6fb23f2e08f4c10cadb6cbaaba..2920c3ff8ca1afea7d34aaf65cf4a6e039cd0622 100644
--- a/manifests/batches/numina/001787.json
+++ b/manifests/batches/numina/001787.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001787",
   "batch_fingerprint": "ab2603df1c5d14f4f39869c054bbcb01680dc08e7e860684fc003f132ffac076",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001787-0000-92a0d5e97ca06d69.parquet",
-      "sha256": "92a0d5e97ca06d69c1057ff1d52972cd818aafdf5054bed6f6d8066fc9d0050a",
-      "bytes": 173844,
-      "rows": 22,
-      "revision": "5c0f41e8f501e35e87ac183e979c36fe8d0fabd3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2047a367-191c-505e-aca7-ec9fe14faa0f",
     "numina:581f4cd2-4911-536c-8cc9-35b94d65b0d7",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008937.lean\",\"5acffeb03240d834db43f5719540c552468e68b55c8a87c7c1bc43c7eee99ba1\",0,\"algebra_13816\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008938.lean\",\"aeac8b7b0a0331e28ad607d1275e6a0bc7576a56aa2878944410c942f47dc9e9\",0,\"algebra_20173\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008939.lean\",\"1fec7e0c2945ebd0cfa02eed8a70fe25d51839b0326488c7ebbeabdeb08e62f8\",0,\"algebra_240739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173844,
+      "path": "data/train/p0b/numina-001787-0000-92a0d5e97ca06d69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "92a0d5e97ca06d69c1057ff1d52972cd818aafdf5054bed6f6d8066fc9d0050a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001788.json b/manifests/batches/numina/001788.json
index 20661a407c7cb7345cf867893b3ce602b8caa392..ca126252ae22400edf789ac936ba5b41b13d3dd2 100644
--- a/manifests/batches/numina/001788.json
+++ b/manifests/batches/numina/001788.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001788",
   "batch_fingerprint": "13ad3da0401ee26966dc356bfd7a8ab78581ba92990b8bc742d0756cceb6b734",
   "evidence": {
@@ -49,39 +48,40 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:2000cc20-063d-51b6-826f-84328dd58f8e",
+    "numina:596cc903-10f5-5996-879e-12b7e033f253",
+    "numina:8f972bd7-16f5-5b77-a279-bafed317a3eb",
+    "numina:b32f2917-f1d8-597e-82af-b0c302c1ec65"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008940.lean\",\"b3f55fd7c1ca1a33e1b703aff6540d1262fe1f3a0f3f53d5c35e1aa5d9f33320\",0,\"algebra_8999\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008942.lean\",\"ec0a1bacf72f014a3f6d0c03ea376a997802e3badcf86cf7370a2b356086576b\",0,\"number_theory_606032\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008943.lean\",\"00f0fe420d7b9645faf40a5efc76d6105fbb5f66b344e40266d4fe0e7b11fa6d\",0,\"inequalities_312234\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008944.lean\",\"df4b426991c89e6b3ff35bb78c53190e5f8ebecbb0cbb695361d29e8464de7b4\",0,\"algebra_10704\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001788-0000-9ab1015fafd73386.parquet",
-      "sha256": "9ab1015fafd73386f5569dfde5b7c43bccec006beb91a927deea3a13af3f3490",
       "bytes": 692736,
+      "path": "data/train/p72/numina-001788-0000-9ab1015fafd73386.parquet",
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       "rows": 33,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
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-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
+      "sha256": "ce6b4469fff6211300cf58741ed24273a4a1278de5f09a4ff0eb5426b680f2b1"
     },
     {
-      "path": "data/dev/numina-001788-0000-7c2adcfb0765ff42.parquet",
-      "sha256": "7c2adcfb0765ff42777ea79b50895a3dc7a3bae33f2ef25e29b5e3abe5a7106b",
       "bytes": 334571,
+      "path": "data/dev/p72/numina-001788-0000-7c2adcfb0765ff42.parquet",
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       "rows": 3,
-      "revision": "f2a69f3e43218cf0175cfd25e9ad747b54902123"
+      "sha256": "7c2adcfb0765ff42777ea79b50895a3dc7a3bae33f2ef25e29b5e3abe5a7106b"
     }
-  ],
-  "proof_ids": [
-    "numina:2000cc20-063d-51b6-826f-84328dd58f8e",
-    "numina:596cc903-10f5-5996-879e-12b7e033f253",
-    "numina:8f972bd7-16f5-5b77-a279-bafed317a3eb",
-    "numina:b32f2917-f1d8-597e-82af-b0c302c1ec65"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008940.lean\",\"b3f55fd7c1ca1a33e1b703aff6540d1262fe1f3a0f3f53d5c35e1aa5d9f33320\",0,\"algebra_8999\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008942.lean\",\"ec0a1bacf72f014a3f6d0c03ea376a997802e3badcf86cf7370a2b356086576b\",0,\"number_theory_606032\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008943.lean\",\"00f0fe420d7b9645faf40a5efc76d6105fbb5f66b344e40266d4fe0e7b11fa6d\",0,\"inequalities_312234\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008944.lean\",\"df4b426991c89e6b3ff35bb78c53190e5f8ebecbb0cbb695361d29e8464de7b4\",0,\"algebra_10704\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001789.json b/manifests/batches/numina/001789.json
index 20ea1f3816d9b5682c25a8892f6365996a8b074d..22090bb5fecf7c3924344a35e2ecf0b4e144c131 100644
--- a/manifests/batches/numina/001789.json
+++ b/manifests/batches/numina/001789.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001789",
   "batch_fingerprint": "e9e6e96efbd1cb414d6b160ab8e1407a3ff189d28bffdcaab89d5dc0bc10f490",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0454c47b-4399-5472-9a76-a33e43b52fd9",
+    "numina:2c88138b-a09f-5000-9ebe-4b51ffae6ef8",
+    "numina:40499024-7337-5b7b-922b-1d016c6a1ffd",
+    "numina:4cac8dd7-59b4-5139-98a8-1e8acccd211e",
+    "numina:c58b1489-b59b-59d0-9688-7a0d72b2cd8a"
+  ],
+  "proof_keys": [
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+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008946.lean\",\"c0db7c258eb61411132d3fc84c6b31844a6557cdf4b19bc13895d5db7416b849\",0,\"number_theory_609496\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008947.lean\",\"ab380df92e480f29b477608268765a1f33744d78845d388b0a1dd9c6a9e7427e\",0,\"number_theory_199764\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008948.lean\",\"52b52f6f954047f1194dede2345fc37f7bac06e9d2fce7c1decc2897be60e2b5\",0,\"algebra_120276\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008949.lean\",\"598dbc6cd078e256970cc43f2ec3261917a993ae73b258b294ec77d382f67a20\",0,\"calculus_229814\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001789-0000-64ddb8da42e572a6.parquet",
-      "sha256": "64ddb8da42e572a6f71d1e8ff3aa654c0ed8d3f89296b4548ba0dc6e67ccc143",
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       "rows": 30,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "c586e4f8fd421eb97991863afa78c8cf87826deb63df0e494c7deb726bf48753"
     },
     {
-      "path": "data/internal_test/numina-001789-0000-8bd8c55ac7c056e0.parquet",
-      "sha256": "8bd8c55ac7c056e0649b1590219d42adf04f6420745c346645429c2e2a1d710a",
       "bytes": 379619,
+      "path": "data/internal_test/p9e/numina-001789-0000-8bd8c55ac7c056e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "8bd8c55ac7c056e0649b1590219d42adf04f6420745c346645429c2e2a1d710a"
     }
-  ],
-  "proof_ids": [
-    "numina:0454c47b-4399-5472-9a76-a33e43b52fd9",
-    "numina:2c88138b-a09f-5000-9ebe-4b51ffae6ef8",
-    "numina:40499024-7337-5b7b-922b-1d016c6a1ffd",
-    "numina:4cac8dd7-59b4-5139-98a8-1e8acccd211e",
-    "numina:c58b1489-b59b-59d0-9688-7a0d72b2cd8a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008945.lean\",\"34d84aa4bc6e779ab794406ed6851852e3d95759b1f7a3893bd7b83dace1b8fe\",0,\"calculus_137647\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008946.lean\",\"c0db7c258eb61411132d3fc84c6b31844a6557cdf4b19bc13895d5db7416b849\",0,\"number_theory_609496\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008947.lean\",\"ab380df92e480f29b477608268765a1f33744d78845d388b0a1dd9c6a9e7427e\",0,\"number_theory_199764\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008948.lean\",\"52b52f6f954047f1194dede2345fc37f7bac06e9d2fce7c1decc2897be60e2b5\",0,\"algebra_120276\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008949.lean\",\"598dbc6cd078e256970cc43f2ec3261917a993ae73b258b294ec77d382f67a20\",0,\"calculus_229814\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001790.json b/manifests/batches/numina/001790.json
index b9c1d5b6698b27a53e03980f13d7fd2e77e24dd2..7debc2e4182f174fae7ba5e3473678f7a529ff74 100644
--- a/manifests/batches/numina/001790.json
+++ b/manifests/batches/numina/001790.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001790",
   "batch_fingerprint": "b409fff73b046729cf0ac5809d5b4b9192967ca1cea036ebb234cbd9ff1f19a4",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001790-0000-f8e07df802d1787c.parquet",
-      "sha256": "f8e07df802d1787c4e90e82bc37fb404de8e400ac1a792f416bc46932b25df9d",
-      "bytes": 360133,
-      "rows": 51,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0bc9ff8b-682c-51eb-99ff-48ef15509484",
     "numina:ae0e9785-e92c-59c3-bed3-cf789e116156",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008952.lean\",\"b97064e4cd930a682f94230a66051222eb36c4d3735d7db2ba64e6eaa41a7a80\",0,\"algebra_20572\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008953.lean\",\"17854c40475dc0fae737fda7c68c0e30cbb976b9ffe22e50fad069957f35ae16\",0,\"algebra_253479\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008954.lean\",\"f0142f1ce003164f02ed357a7e3cc59f73d854dd62f41c0d5a4e310ae8631313\",0,\"algebra_9000\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360133,
+      "path": "data/train/p72/numina-001790-0000-f8e07df802d1787c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "f8e07df802d1787c4e90e82bc37fb404de8e400ac1a792f416bc46932b25df9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001791.json b/manifests/batches/numina/001791.json
index df52696d228b7b6a2942739bc1f72cba086401ab..8f594a174226a1e9362137643d6a25b22944a1e6 100644
--- a/manifests/batches/numina/001791.json
+++ b/manifests/batches/numina/001791.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001791",
   "batch_fingerprint": "ce54b27b7d3306740c8736a4e84a6968184f43d2128ad35c14b44f3dbebc3f25",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001791-0000-5e3102471c1d7ec9.parquet",
-      "sha256": "5e3102471c1d7ec9b757a37fba5e557e4fffa8df16c16062357bcfd8cfc573eb",
-      "bytes": 208284,
-      "rows": 24,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/numina-001791-0000-264a6f88b07db22b.parquet",
-      "sha256": "264a6f88b07db22b708a871fe3f3a5222ac27af5aefb8393ca3be417fcd73b0f",
-      "bytes": 29357,
-      "rows": 2,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/numina-001791-0000-87835100b5697051.parquet",
-      "sha256": "87835100b569705175bbc103dae158bf59299c569f2685746ec30592c8cae3ee",
-      "bytes": 69640,
-      "rows": 7,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6592cb4c-557a-5c99-a448-e176024b5045",
     "numina:ace5fb55-d3d8-5cff-83e3-4144b72c04a5",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008957.lean\",\"5e535208b98b691eabb89cfa2fd3fbd689cd561d6e0da626492ad22b8f8cbdf6\",0,\"number_theory_120461\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008958.lean\",\"3f1e20f0cd3cc0d94752c5ad886085139b2087edae9d24279fc441259bbb6599\",0,\"combinatorics_95105\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008959.lean\",\"9405ef8d44207b40d4247ec2fc86088f0e428deb095128dfae40b57c167fbbee\",0,\"algebra_93550\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208284,
+      "path": "data/train/pa8/numina-001791-0000-5e3102471c1d7ec9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5e3102471c1d7ec9b757a37fba5e557e4fffa8df16c16062357bcfd8cfc573eb"
+    },
+    {
+      "bytes": 29357,
+      "path": "data/dev/pa8/numina-001791-0000-264a6f88b07db22b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "264a6f88b07db22b708a871fe3f3a5222ac27af5aefb8393ca3be417fcd73b0f"
+    },
+    {
+      "bytes": 69640,
+      "path": "data/internal_test/pa8/numina-001791-0000-87835100b5697051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "87835100b569705175bbc103dae158bf59299c569f2685746ec30592c8cae3ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001792.json b/manifests/batches/numina/001792.json
index 29179f03509524e1050e205071e0faa1bcbea7d9..63113b6b3c77cbdc8b795712543df6eebd25c623 100644
--- a/manifests/batches/numina/001792.json
+++ b/manifests/batches/numina/001792.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001792",
   "batch_fingerprint": "9745599f8565a50b99f52a6a93822c86c0abf48990cd3ffc2a289a82b09335dc",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001792-0000-280d4ca3e25b0aa6.parquet",
-      "sha256": "280d4ca3e25b0aa69df4c614ba26af3e303f634304b863bd1a89f53de1325194",
-      "bytes": 337325,
-      "rows": 28,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0f802e63-bee5-5f3b-bdd6-92d93830337e",
     "numina:4a05b004-6232-5f58-b1e3-d159fb02a446",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008962.lean\",\"8a2a1caefccb805f8ae5b4e747f30e90083720d2f0dd8155528a6bed708861fe\",0,\"number_theory_610317\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008963.lean\",\"000e61e8a987a2cb17b7c300afd8fd28658e6f4946bfdb780e2064f35c17f78e\",0,\"number_theory_137701\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008964.lean\",\"814f6d11032b4a0b1d4bc1eca48c6103179ceb0080cee0b716dd49204725fc7f\",0,\"inequalities_173340\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337325,
+      "path": "data/train/p2c/numina-001792-0000-280d4ca3e25b0aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "280d4ca3e25b0aa69df4c614ba26af3e303f634304b863bd1a89f53de1325194"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001793.json b/manifests/batches/numina/001793.json
index 5546c12080f77b397e5ecff6f4030ac81011e44e..8715bc419940c58849dee75285261fc0de6dca13 100644
--- a/manifests/batches/numina/001793.json
+++ b/manifests/batches/numina/001793.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001793",
   "batch_fingerprint": "8d805a7a3133d034a4c67001aa3e5939387ff19b45559b448f9d1e50b4c76ad3",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001793-0000-9abfd8dc3f1d3e8e.parquet",
-      "sha256": "9abfd8dc3f1d3e8ee9d983f5504c3d0ab2ee879f81aa1d05f72577b10b99aff4",
-      "bytes": 648982,
-      "rows": 51,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/numina-001793-0000-e29b742ec4a03df1.parquet",
-      "sha256": "e29b742ec4a03df16c179eb9ddd667b36d74c33ca9f4ccaa8e10c0bf328df9ed",
-      "bytes": 221504,
-      "rows": 4,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:079530cc-2973-5d53-a2ce-3b57bf2e2ba7",
     "numina:0a26cff4-3a62-54da-ba9d-ebf7af030a7f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008967.lean\",\"822f34757f9c99d8b3ead689e2291cd2bfe0cd0eb264dce3f0db1d29cb780686\",0,\"algebra_229830\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008968.lean\",\"3b27b99be1ab932b78876ca9bd9917c20ec20100701f21f966cfedb56c627fcd\",0,\"number_theory_59461\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008969.lean\",\"4e26c6451c106b5cb7baf2962020f80b61de530835e5d8e036a3d552410c0479\",0,\"algebra_20182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 648982,
+      "path": "data/train/pcf/numina-001793-0000-9abfd8dc3f1d3e8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 51,
+      "sha256": "9abfd8dc3f1d3e8ee9d983f5504c3d0ab2ee879f81aa1d05f72577b10b99aff4"
+    },
+    {
+      "bytes": 221504,
+      "path": "data/internal_test/pcf/numina-001793-0000-e29b742ec4a03df1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e29b742ec4a03df16c179eb9ddd667b36d74c33ca9f4ccaa8e10c0bf328df9ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001794.json b/manifests/batches/numina/001794.json
index f5fbc2476244aa2f0f32b497a5a7d97dcab6291a..b0561db190bfd4974217b5e30feb95ea31ff3881 100644
--- a/manifests/batches/numina/001794.json
+++ b/manifests/batches/numina/001794.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001794",
   "batch_fingerprint": "a61b402b3ec04580ae3b499aed9594aae1ecdd398ab5a1c90b925d87c25acf19",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001794-0000-2131dc4f41eb72d5.parquet",
-      "sha256": "2131dc4f41eb72d5def738f16b431f30794a0a648e974cd574b37f4d8b84f110",
-      "bytes": 322310,
-      "rows": 37,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/internal_test/numina-001794-0000-2b6c632af291344c.parquet",
-      "sha256": "2b6c632af291344c1e0bf4b52f6fd3f4b209c162d8288ebc67a244ff1ea9c752",
-      "bytes": 405035,
-      "rows": 6,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d4697c6-152d-504c-9c6c-48302352c90c",
     "numina:4aa7216b-c7bc-51ff-ba44-b568d5667a4e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008972.lean\",\"6b9d6c67284f0ac318a0e783340d1c009d0e368dd84d9073a8d32745596db04c\",0,\"number_theory_169458\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008973.lean\",\"c83dee80532e22e53e23fbf92fa021eab29278eb0406cce20921f9fa1a9e4d8d\",0,\"number_theory_250137\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008974.lean\",\"709c1201eb1d2e21ae15f2a7c3cffd98f9c79d7532f9ad408ca5614b6abaf932\",0,\"number_theory_305682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322310,
+      "path": "data/train/p79/numina-001794-0000-2131dc4f41eb72d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "2131dc4f41eb72d5def738f16b431f30794a0a648e974cd574b37f4d8b84f110"
+    },
+    {
+      "bytes": 405035,
+      "path": "data/internal_test/p79/numina-001794-0000-2b6c632af291344c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2b6c632af291344c1e0bf4b52f6fd3f4b209c162d8288ebc67a244ff1ea9c752"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001795.json b/manifests/batches/numina/001795.json
index e857f8526cbb0517b9180b9f6367751371d41273..306c1791f7f2f741b54869cb7b054937d00db121 100644
--- a/manifests/batches/numina/001795.json
+++ b/manifests/batches/numina/001795.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001795",
   "batch_fingerprint": "d7432b2c9f62497b09c0d3156f7326f5a8f55b1871300f372ce00d296355f274",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001795-0000-4a514d716f6ca69f.parquet",
-      "sha256": "4a514d716f6ca69f82f4af3c0eecb4bfd31439050b952686792eb54a43004664",
-      "bytes": 330248,
-      "rows": 44,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/dev/numina-001795-0000-15fc61e8e497ae73.parquet",
-      "sha256": "15fc61e8e497ae733d075e6f30611894a64961d1f41abc351743946eebe8dff0",
-      "bytes": 21198,
-      "rows": 1,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:84da66e6-2a00-5159-9b04-ad8def6dabe8",
     "numina:89bd7113-84bb-5d41-b917-e5b1a9be2294",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008977.lean\",\"e3fd56fd9782ac036ec9eee2aad2d355cadaed74f5f52389d5a4af840b0d6ef6\",0,\"algebra_610493\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008978.lean\",\"e049cb9a0be0ac34f3f73a1b549540319a5c73f467dbffcd0cb1ff48cf5fc56f\",0,\"number_theory_151634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008979.lean\",\"9eae5f3f314c73498e87b224f89f93a1431e41c3bdc6dae80b4894b72f3397c5\",0,\"imo2011_q5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330248,
+      "path": "data/train/pec/numina-001795-0000-4a514d716f6ca69f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "4a514d716f6ca69f82f4af3c0eecb4bfd31439050b952686792eb54a43004664"
+    },
+    {
+      "bytes": 21198,
+      "path": "data/dev/pec/numina-001795-0000-15fc61e8e497ae73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "15fc61e8e497ae733d075e6f30611894a64961d1f41abc351743946eebe8dff0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001796.json b/manifests/batches/numina/001796.json
index 6de37b52eaa3bb9733e8116b0d96d5c11ac4e800..3721b24d3b4d38b99fcc743bec75cce2bebfcef0 100644
--- a/manifests/batches/numina/001796.json
+++ b/manifests/batches/numina/001796.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001796",
   "batch_fingerprint": "bf2b6ae9a5bd7b52063ad5558865bf559c0ea69854888a007070e1c22985a328",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001796-0000-3a255ea69171eb7f.parquet",
-      "sha256": "3a255ea69171eb7fd1d0dc84372bbb53e26d9aceacbccb2b1d88379f93ff1433",
-      "bytes": 697363,
-      "rows": 37,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/train/numina-001796-0001-0e7257d1033660a4.parquet",
-      "sha256": "0e7257d1033660a4b1d2ae09684c4e816d70ad7435a870c76c3a69fea54b7590",
-      "bytes": 691730,
-      "rows": 18,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    },
-    {
-      "path": "data/train/numina-001796-0002-f2d2d12dfb4c3095.parquet",
-      "sha256": "f2d2d12dfb4c30954afa4fe27def3c3bffc9c6ae10ac42878172f410bb9537eb",
-      "bytes": 495871,
-      "rows": 31,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:25bb946c-5a04-5e59-969b-17571069fc26",
     "numina:947b6851-3721-5e1f-9d3c-b4cd941e55f1",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008982.lean\",\"f03e9a6d28747e640aaeb17e1bfe2a273b13fbcb0c535e61cf43c6853d599b85\",0,\"algebra_139321\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008983.lean\",\"918ff5fd84ec0f9057ef9fa2c7f7ea2f95365271a85bbbfb5862550dd3923b98\",0,\"algebra_94694\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008984.lean\",\"70bffb00077418eab4d7427aaa6214e933d483e17b23e53258fbc3037a18fdf1\",0,\"algebra_610497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 697363,
+      "path": "data/train/p5d/numina-001796-0000-3a255ea69171eb7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "3a255ea69171eb7fd1d0dc84372bbb53e26d9aceacbccb2b1d88379f93ff1433"
+    },
+    {
+      "bytes": 691730,
+      "path": "data/train/p5d/numina-001796-0001-0e7257d1033660a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0e7257d1033660a4b1d2ae09684c4e816d70ad7435a870c76c3a69fea54b7590"
+    },
+    {
+      "bytes": 495871,
+      "path": "data/train/p5d/numina-001796-0002-f2d2d12dfb4c3095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "f2d2d12dfb4c30954afa4fe27def3c3bffc9c6ae10ac42878172f410bb9537eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001797.json b/manifests/batches/numina/001797.json
index faee8fdb24b493e824fbb136b8c595ef8232aee6..846b225369b9cb2163a18ea133c6bf7a93618064 100644
--- a/manifests/batches/numina/001797.json
+++ b/manifests/batches/numina/001797.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001797",
   "batch_fingerprint": "c23e3391854537c63a3e89b5d54deaf79061a01387011b8b995b9871b21e185d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001797-0000-b7b6f0bea8928af9.parquet",
-      "sha256": "b7b6f0bea8928af9eb8cd2a284afc943a1f3a8af352ea4417a9daa5f1d8b1097",
-      "bytes": 728245,
-      "rows": 28,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    },
-    {
-      "path": "data/train/numina-001797-0001-ff56f322630a23b5.parquet",
-      "sha256": "ff56f322630a23b5871d0b2862a4f38a86e1c5d15f18071c5a351d6a8270f5e0",
-      "bytes": 113698,
-      "rows": 16,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5ea317a6-284f-56d5-af9f-dd1a400569c7",
     "numina:957fac80-b72e-5f83-b4dc-c98988ee1e1d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008987.lean\",\"03ea8390a0ef23255a6652bcdbc9af7d0b4d8d3856af655496bfccf053d1f590\",0,\"number_theory_47025\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008989.lean\",\"704a64fb5182bfbad72f4310ba24727a7844c953ade7629072a5ad05fc13a5da\",0,\"algebra_199833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 728245,
+      "path": "data/train/p07/numina-001797-0000-b7b6f0bea8928af9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b7b6f0bea8928af9eb8cd2a284afc943a1f3a8af352ea4417a9daa5f1d8b1097"
+    },
+    {
+      "bytes": 113698,
+      "path": "data/train/p07/numina-001797-0001-ff56f322630a23b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ff56f322630a23b5871d0b2862a4f38a86e1c5d15f18071c5a351d6a8270f5e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001798.json b/manifests/batches/numina/001798.json
index 18eeac9b238ebb17ca4d9a737b057104077d193e..5b917e7a2a32556fa543b9e9e4dfd898ded89d4a 100644
--- a/manifests/batches/numina/001798.json
+++ b/manifests/batches/numina/001798.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001798",
   "batch_fingerprint": "961dda8d548861e8fe9a93eb6ffe17bf52183683b6cf8f3829a2c58375f582bb",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001798-0000-7d5829126cfdd9e6.parquet",
-      "sha256": "7d5829126cfdd9e68a535bd7d0fa47592ca07a6ff565a05def0639fc99fea690",
-      "bytes": 307706,
-      "rows": 47,
-      "revision": "836ddca1259858e9660f1fcea3ec7e6b0f725589"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:093068a5-bbf3-5fd9-9c33-010fecba9285",
     "numina:2a4dc8cc-038f-574a-b049-cf8ea857391d",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008992.lean\",\"75b9886f16f4f976fec09b7a898a6eb8c1dd4045c6e4643358045ed37903b6f2\",0,\"algebra_269752\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008993.lean\",\"fb1586c5d3cb3427cc5092463b304ccc5712eab737f1c3285ed5bfb628dbba39\",0,\"algebra_309995\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008994.lean\",\"508773fae04a9b081e5e8ddf6fd5e63027631b2148ded7e7ab284f26425ded72\",0,\"algebra_101384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307706,
+      "path": "data/train/p7e/numina-001798-0000-7d5829126cfdd9e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 47,
+      "sha256": "7d5829126cfdd9e68a535bd7d0fa47592ca07a6ff565a05def0639fc99fea690"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001799.json b/manifests/batches/numina/001799.json
index efc4b3b702805a71f4147fde3579352aa7f462ac..6937525c1a6c08d947d01443ad5f107a68e5dbf0 100644
--- a/manifests/batches/numina/001799.json
+++ b/manifests/batches/numina/001799.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001799",
   "batch_fingerprint": "dc212a0734396b263aed1ceff2f2cf98bb86a524794b5486a966d1dc94519c84",
   "evidence": {
@@ -19,48 +18,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:4757bce5-429f-5ada-ad03-38a8284f089a",
+    "numina:79d7166e-bd76-5d41-adaf-e2b75742dd0e",
+    "numina:7bf3d81f-4df5-5f2f-90f3-ab329fa2e714",
+    "numina:7dc8bfd3-bd7c-5317-bdb2-fe097495ce25",
+    "numina:b3d26daa-9da5-5628-96ec-667d2d66d10a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008995.lean\",\"f4ff4dc5a322e4b10f0ac120326c1eecd4fb1c30df841af86bb2f0907579bdec\",2,\"number_theory_4727_3\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008996.lean\",\"4c7cf1bd63afaa921b4b0d61c019497f80b1ea458a9ffa035b27dea8d5d090cb\",2,\"number_theory_609540\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008997.lean\",\"b37348e79ded454532a6647e695e608af0142f60f17d19b7f9cf15077d657a35\",0,\"calculus_139644\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008998.lean\",\"a8440b72011c28d46c77d98708b72bf2fc93f9431293e4cb3003364f5840ad49\",0,\"algebra_15054\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008999.lean\",\"f7c1373c434e1cd9acc874c6d7f98eed9ee770fde72a1dd578cdf18b7bd2b21b\",0,\"algebra_310497\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001799-0000-3651432684b73b66.parquet",
-      "sha256": "3651432684b73b667680e2dc1df207b16ec17c58e25e88ea2d839a6360c3e919",
       "bytes": 77387,
+      "path": "data/train/p9c/numina-001799-0000-3651432684b73b66.parquet",
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       "rows": 8,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "3651432684b73b667680e2dc1df207b16ec17c58e25e88ea2d839a6360c3e919"
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     {
-      "path": "data/train/numina-001799-0001-6a31c619cefbb3fb.parquet",
-      "sha256": "6a31c619cefbb3fb9d3ed4d80cc5a960dd64b64dee497016c6299e66843ed97f",
       "bytes": 640845,
+      "path": "data/train/p9c/numina-001799-0001-6a31c619cefbb3fb.parquet",
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       "rows": 1,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "6a31c619cefbb3fb9d3ed4d80cc5a960dd64b64dee497016c6299e66843ed97f"
     },
     {
-      "path": "data/train/numina-001799-0002-358f9aeb93a1a11d.parquet",
-      "sha256": "358f9aeb93a1a11d7d143345df1da1639acd397fd8a2b11ac5f8aafb8320e90c",
       "bytes": 430165,
+      "path": "data/train/p9c/numina-001799-0002-358f9aeb93a1a11d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "358f9aeb93a1a11d7d143345df1da1639acd397fd8a2b11ac5f8aafb8320e90c"
     },
     {
-      "path": "data/internal_test/numina-001799-0000-de9013d1059983b1.parquet",
-      "sha256": "de9013d1059983b1f47966ae2fd938450029f570f857be5c0618047bc66a6791",
       "bytes": 88717,
+      "path": "data/internal_test/p9c/numina-001799-0000-de9013d1059983b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4bb5f0dc3f24ade4e233c0b6ea0457a3ba417379"
+      "sha256": "de9013d1059983b1f47966ae2fd938450029f570f857be5c0618047bc66a6791"
     }
-  ],
-  "proof_ids": [
-    "numina:4757bce5-429f-5ada-ad03-38a8284f089a",
-    "numina:79d7166e-bd76-5d41-adaf-e2b75742dd0e",
-    "numina:7bf3d81f-4df5-5f2f-90f3-ab329fa2e714",
-    "numina:7dc8bfd3-bd7c-5317-bdb2-fe097495ce25",
-    "numina:b3d26daa-9da5-5628-96ec-667d2d66d10a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008995.lean\",\"f4ff4dc5a322e4b10f0ac120326c1eecd4fb1c30df841af86bb2f0907579bdec\",2,\"number_theory_4727_3\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008996.lean\",\"4c7cf1bd63afaa921b4b0d61c019497f80b1ea458a9ffa035b27dea8d5d090cb\",2,\"number_theory_609540\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008997.lean\",\"b37348e79ded454532a6647e695e608af0142f60f17d19b7f9cf15077d657a35\",0,\"calculus_139644\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008998.lean\",\"a8440b72011c28d46c77d98708b72bf2fc93f9431293e4cb3003364f5840ad49\",0,\"algebra_15054\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_008999.lean\",\"f7c1373c434e1cd9acc874c6d7f98eed9ee770fde72a1dd578cdf18b7bd2b21b\",0,\"algebra_310497\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001800.json b/manifests/batches/numina/001800.json
index 7aad0ac4aebdacb1e8558075b24d17fa5cb01aff..1f0ff6d5451cd47da3cda11a3d89e2c61c9f08df 100644
--- a/manifests/batches/numina/001800.json
+++ b/manifests/batches/numina/001800.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001800",
   "batch_fingerprint": "5d8f317f33a8bff61cfc59d5a99def92be9c65605d2d2c2cc6b46f1664f04b7c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001800-0000-2d3b1491f3a10a08.parquet",
-      "sha256": "2d3b1491f3a10a08d360532d5ce67f921327fb2d91410f9bcdd4f5e1af3675d3",
-      "bytes": 163016,
-      "rows": 30,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/numina-001800-0000-574cf59bf03b81c3.parquet",
-      "sha256": "574cf59bf03b81c30582fd8b5e15eca4ecbcd9aad2b1a6d13343549aadd8a80b",
-      "bytes": 104546,
-      "rows": 23,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d10baad-5b84-5dc1-8806-45cde98aad9c",
     "numina:4e99ab07-ee1b-5209-8b5c-23d6b22d6f12",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009002.lean\",\"21d165c20f1aa9cc70013acdb3c11ea8829a50389be1712a781f5ab186ed7e6a\",0,\"algebra_608518\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009003.lean\",\"45a0f3779e93785f45e58926c51473450241e1e816ffab807fc402368b178afb\",0,\"calculus_23202\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009004.lean\",\"58901f1fa4c750570f76025a16b7c736385a35ddce75a2e96d288e49cdcfdf49\",0,\"algebra_607983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163016,
+      "path": "data/train/pb0/numina-001800-0000-2d3b1491f3a10a08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "2d3b1491f3a10a08d360532d5ce67f921327fb2d91410f9bcdd4f5e1af3675d3"
+    },
+    {
+      "bytes": 104546,
+      "path": "data/dev/pb0/numina-001800-0000-574cf59bf03b81c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "574cf59bf03b81c30582fd8b5e15eca4ecbcd9aad2b1a6d13343549aadd8a80b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001801.json b/manifests/batches/numina/001801.json
index a3f24f1d7fdcc0995f51b2f42e4c9d06347ee018..805c462f317f7a1cb7a9b71b4434ea03cf7dde56 100644
--- a/manifests/batches/numina/001801.json
+++ b/manifests/batches/numina/001801.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001801",
   "batch_fingerprint": "1117517a6c039e79929605c5bf68d9a196c8f0639d3d94faf4b25bd67cdc7e23",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001801-0000-c4e99c73c6f12f93.parquet",
-      "sha256": "c4e99c73c6f12f935009d6d633790d69b5172e669b525a7b4d09ebaa11689476",
-      "bytes": 109433,
-      "rows": 18,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/numina-001801-0000-5dec9564c7327376.parquet",
-      "sha256": "5dec9564c732737614530078af0e044d97334f4b5bcdb8456c73fafe58d9a386",
-      "bytes": 143627,
-      "rows": 10,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:040b5261-9bd4-5690-99b6-fa5e0c11c66d",
     "numina:2baa102a-e03d-5725-9b33-c1a3815ce613",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009007.lean\",\"83e090551fc6158fc9dd2ba56e405e13a8d83bdc06c863fbf0c2c5cac2d75dea\",0,\"algebra_223892\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009008.lean\",\"1e408dce52048261170bf821cadc9d3f6c910823148ef0375b62ee8ca6b618e1\",0,\"number_theory_4742\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009009.lean\",\"fad8cf49b8044c670060866fdd17b738851453da1d537737667cab3f15c3f42a\",0,\"algebra_20610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109433,
+      "path": "data/train/p96/numina-001801-0000-c4e99c73c6f12f93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c4e99c73c6f12f935009d6d633790d69b5172e669b525a7b4d09ebaa11689476"
+    },
+    {
+      "bytes": 143627,
+      "path": "data/internal_test/p96/numina-001801-0000-5dec9564c7327376.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5dec9564c732737614530078af0e044d97334f4b5bcdb8456c73fafe58d9a386"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001802.json b/manifests/batches/numina/001802.json
index edeb8479a26848747afeb0dd173fb62f2d6168c0..92e0567c667b7fd10021c897265a76513cf066cd 100644
--- a/manifests/batches/numina/001802.json
+++ b/manifests/batches/numina/001802.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001802",
   "batch_fingerprint": "282e006123a86d9d2963f8e97567a3bdb15bda6d0deac76f5d23998380289533",
   "evidence": {
@@ -49,15 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001802-0000-69c2e0a5920e6803.parquet",
-      "sha256": "69c2e0a5920e680301fe61191a42fe2e126b8425d93f24d18249a672cd0a3d03",
-      "bytes": 646982,
-      "rows": 64,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:40b6850c-84df-5142-ac0b-7d54a7cdd799",
     "numina:586d4c59-fbef-51c6-8d82-5ab40a0bbcd1",
@@ -69,5 +60,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009012.lean\",\"613d54cb5647b7cb19d382dc3214865824fca621c3fabf82dadf7e907a5241da\",0,\"algebra_18701\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009013.lean\",\"155b73c60557ecf3533324afd8118c7bcc38ec0e1a25d99f393597d36a000853\",0,\"algebra_146608\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009014.lean\",\"817867b0f61461380efb8352d87936ef67bf2673bc1e8e2449d34edccb01275b\",0,\"other_24768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 646982,
+      "path": "data/train/p98/numina-001802-0000-69c2e0a5920e6803.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 64,
+      "sha256": "69c2e0a5920e680301fe61191a42fe2e126b8425d93f24d18249a672cd0a3d03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001803.json b/manifests/batches/numina/001803.json
index 5f15d502660afd974ee14676b8e329ae267065dc..0044df917b768272a72155c74ba85ddd44ba1c82 100644
--- a/manifests/batches/numina/001803.json
+++ b/manifests/batches/numina/001803.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001803",
   "batch_fingerprint": "e6916fd1a316c4e2a885704520149ce9c2c9ef8d40e58c1a2ae6e3b6d4261e74",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001803-0000-7c35371c057c5e8c.parquet",
-      "sha256": "7c35371c057c5e8ccd2ea8724d4fe80012840bb12019a278fe072919e3a9b879",
-      "bytes": 223455,
-      "rows": 39,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/numina-001803-0000-9994d400293c0817.parquet",
-      "sha256": "9994d400293c081717d4d5d904275329d92142dace5fa2ad325fd6fbaa0c3b3d",
-      "bytes": 103849,
-      "rows": 3,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:04759e39-eeca-5f5a-92d5-09717c17a012",
     "numina:2de1b15c-8589-5704-a230-58756d16013e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009017.lean\",\"27ce45472afe94bcf367af90d91b71ba56f54f9871e33dc9364a18bb594f5290\",0,\"number_theory_609323\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009018.lean\",\"ab515c693be5fac54017221954b35b08e2053c33b6dcbb1b5f01c73c867c8013\",0,\"number_theory_194632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009019.lean\",\"a501c683517f1b415cf18259d0531a5c278fb9a2f1762e1f472912313cc88a60\",0,\"algebra_20614\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223455,
+      "path": "data/train/p87/numina-001803-0000-7c35371c057c5e8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "7c35371c057c5e8ccd2ea8724d4fe80012840bb12019a278fe072919e3a9b879"
+    },
+    {
+      "bytes": 103849,
+      "path": "data/dev/p87/numina-001803-0000-9994d400293c0817.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9994d400293c081717d4d5d904275329d92142dace5fa2ad325fd6fbaa0c3b3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001804.json b/manifests/batches/numina/001804.json
index bbfaaa937958d6530809a2cff300de980e793f2d..f85a78a7bc67619ff40c9f563b33c1bfa312d746 100644
--- a/manifests/batches/numina/001804.json
+++ b/manifests/batches/numina/001804.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001804",
   "batch_fingerprint": "aea8e1beb2c37e6f9345b6041602681bffbf46ad4357782eff4b37ee43380191",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001804-0000-d2ae8a968eee5ef6.parquet",
-      "sha256": "d2ae8a968eee5ef633bdc2658b65ea4bbed6375f3047f8d5e61b2e95a3467331",
-      "bytes": 509603,
-      "rows": 43,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28a03eec-e013-5443-97a7-fb94615efe7b",
     "numina:6e52d04f-1f6d-5d6a-bb23-a3323630477b",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009022.lean\",\"c870591f857138a632d28be9e79704c97369b2d946b76485342d20b4daeac7e0\",0,\"algebra_94246\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009023.lean\",\"748719364db951dc845615b8a93bc46ae7693c9632101a3901ecd590f8f90964\",0,\"other_23725\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009024.lean\",\"0389a9fc24f7b4b6ce8c38d3d34b09c1c1baa18e183ac77b137b09c198d30f5c\",0,\"inequalities_152982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509603,
+      "path": "data/train/p66/numina-001804-0000-d2ae8a968eee5ef6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "d2ae8a968eee5ef633bdc2658b65ea4bbed6375f3047f8d5e61b2e95a3467331"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001805.json b/manifests/batches/numina/001805.json
index 2ea4903b1d0aed17916905b5d514bc33cca1642a..5dc63d78a8171d2d9415e12dc179c6743a7355e6 100644
--- a/manifests/batches/numina/001805.json
+++ b/manifests/batches/numina/001805.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001805",
   "batch_fingerprint": "18c63352129e2e150558816c0cde48d9ab2c291db64bb8b485c63927f31d01cc",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001805-0000-d4f7c4815e06d405.parquet",
-      "sha256": "d4f7c4815e06d4058cedccf915e14750f182e1203b710f5f64a286055736d415",
-      "bytes": 76580,
-      "rows": 13,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/numina-001805-0000-cafaf227f1adcc96.parquet",
-      "sha256": "cafaf227f1adcc96c47771a7129bb8473ceb3ae9d8b3fb5f6fcb978a2dbc102b",
-      "bytes": 59630,
-      "rows": 6,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3a591bd8-75ac-52e4-ab96-b370137deecd",
     "numina:536523eb-808e-50ac-90b1-ae3eeac823bd",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009027.lean\",\"9da07443b0fcd0dd03743a45e7d48a36990485108c5c322d6c133824b0378be8\",0,\"algebra_146706\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009028.lean\",\"99d1e5ac43554e9dae8cab40a3e581df674d6a6dae52da3e1c6a35a155d8dae3\",0,\"number_theory_11389\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009029.lean\",\"212fa4f1069305569acd6f2461a7d116a6fb2fb41b239f4d023a3f0b327aaf48\",0,\"algebra_1116\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76580,
+      "path": "data/train/pd8/numina-001805-0000-d4f7c4815e06d405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d4f7c4815e06d4058cedccf915e14750f182e1203b710f5f64a286055736d415"
+    },
+    {
+      "bytes": 59630,
+      "path": "data/dev/pd8/numina-001805-0000-cafaf227f1adcc96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cafaf227f1adcc96c47771a7129bb8473ceb3ae9d8b3fb5f6fcb978a2dbc102b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001806.json b/manifests/batches/numina/001806.json
index 63310f3d51b748f669ed4c3ade21597fcc2aee24..f30a47728e668c673ebe88973cb1d36d45c7c1cf 100644
--- a/manifests/batches/numina/001806.json
+++ b/manifests/batches/numina/001806.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001806",
   "batch_fingerprint": "f96e6026371731b4ed52d215075de0b17ad61e3e016dfc4b00686dbf973b7d7e",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001806-0000-60937c5b42e57fe3.parquet",
-      "sha256": "60937c5b42e57fe36b8ce20df0b9d010b6d271e7934ba90877525c487963648b",
-      "bytes": 120315,
-      "rows": 17,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/dev/numina-001806-0000-0fcf3b725ef07d81.parquet",
-      "sha256": "0fcf3b725ef07d813bfd64758c182e921d85d17a6c51ca2390f415456b08ebdb",
-      "bytes": 299450,
-      "rows": 26,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b2a80f4-ba0b-5f03-a3a8-fbe7b03b4bf3",
     "numina:8a9f315a-5ae9-5b14-87f9-63192cd3ff5f",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009032.lean\",\"175bb77f6f0b447b751b3bd634c22e0b11cec4fb2e8440db438a4a8521af4312\",0,\"algebra_13820\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009033.lean\",\"17b25f813ecdfb16f10c4fcdc4409a67ded3efd832df72d033ae73b0892bc684\",0,\"inequalities_288022\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009034.lean\",\"08d770b99306e31305708c39cdaae3df509332fd382dcd251d59433e8285f3ab\",0,\"algebra_282296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120315,
+      "path": "data/train/p85/numina-001806-0000-60937c5b42e57fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "60937c5b42e57fe36b8ce20df0b9d010b6d271e7934ba90877525c487963648b"
+    },
+    {
+      "bytes": 299450,
+      "path": "data/dev/p85/numina-001806-0000-0fcf3b725ef07d81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "0fcf3b725ef07d813bfd64758c182e921d85d17a6c51ca2390f415456b08ebdb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001807.json b/manifests/batches/numina/001807.json
index 9a774cb035caec566b12d73494b3eb287e97f7ac..1506920035555ab09ea5ade8b8295f443d536b55 100644
--- a/manifests/batches/numina/001807.json
+++ b/manifests/batches/numina/001807.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001807",
   "batch_fingerprint": "4688ab4bf1562bf3bf58d2fea296534ae07696f7f537b4c36231837c0a8cf1c8",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001807-0000-c441e2fd896808bc.parquet",
-      "sha256": "c441e2fd896808bce4ae193aa0dd1995dd8d49657ed91205d8c472f4a2525502",
-      "bytes": 217296,
-      "rows": 25,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2b5db11c-a947-53c5-bd91-41fb75fcf0fe",
     "numina:7d4722bc-f626-5449-b7cf-dd51253a8b57",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009037.lean\",\"c5c2a6d656f3515bf76f55b60fbd8387adf4728d0c37400ca15b89b1eba7b384\",0,\"algebra_310914\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009038.lean\",\"90f2d3108709ba4044f1f9a222573c31ed787d586749513bff967f52fbd43f57\",0,\"algebra_255042\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009039.lean\",\"b1fdb3fed9cda8413cd7bc6638dde39f4e2dc193e3bfb927ef0f6411ff370a7a\",0,\"algebra_98439\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217296,
+      "path": "data/train/pbb/numina-001807-0000-c441e2fd896808bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "c441e2fd896808bce4ae193aa0dd1995dd8d49657ed91205d8c472f4a2525502"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001808.json b/manifests/batches/numina/001808.json
index 4468dd02eab2aa89cfeae66eaab232ea9aff98c7..12ead7e2467b79808d2d7df1974772734d39f52b 100644
--- a/manifests/batches/numina/001808.json
+++ b/manifests/batches/numina/001808.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001808",
   "batch_fingerprint": "eb753996a05b933122ae94a7e2fa396129837c990023a002d1abe646bfe03e7d",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001808-0000-8f0b6aceb2578417.parquet",
-      "sha256": "8f0b6aceb2578417a20711e0c873daaebdcba89f6d411d1a458561c7417996bd",
-      "bytes": 382224,
-      "rows": 37,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    },
-    {
-      "path": "data/internal_test/numina-001808-0000-9e850c9be2c6116a.parquet",
-      "sha256": "9e850c9be2c6116ae8e24d3f3c76cce6d84b01f5a4cfe39ba32c27b9856c50ef",
-      "bytes": 43238,
-      "rows": 8,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6fd1c393-4334-5a1e-8338-3d1c4537bda7",
     "numina:80cc6869-d3ab-5495-8ac8-896726ca8aac",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009042.lean\",\"062f55920898d317cc79a48b4abad890a95ab0cded6621ee0b8eff6c482a40a5\",0,\"number_theory_243628\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009043.lean\",\"a0be6d241c34c8537e845d978f3a4984d9fb235c59f60b7e874b4c325c7cbc9a\",0,\"algebra_608737\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009044.lean\",\"2e36885e36c67e8579d6aca1a8680c21623a3456d61c1fb3bb4d3986d433f51d\",0,\"algebra_21059\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382224,
+      "path": "data/train/p4d/numina-001808-0000-8f0b6aceb2578417.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "8f0b6aceb2578417a20711e0c873daaebdcba89f6d411d1a458561c7417996bd"
+    },
+    {
+      "bytes": 43238,
+      "path": "data/internal_test/p4d/numina-001808-0000-9e850c9be2c6116a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9e850c9be2c6116ae8e24d3f3c76cce6d84b01f5a4cfe39ba32c27b9856c50ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001809.json b/manifests/batches/numina/001809.json
index b74790c2c71988457209e05ece36f602067f415c..f1f12a8f4382f2eea1efb23d1a7515f55b101a8b 100644
--- a/manifests/batches/numina/001809.json
+++ b/manifests/batches/numina/001809.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001809",
   "batch_fingerprint": "2107ab99163450d5901dcb02d3d5d05b7f4176476557a669bac4ad110f115349",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001809-0000-aa36d945a2ffc866.parquet",
-      "sha256": "aa36d945a2ffc866d89868c3d5543a80278b9b15847ffb2c3f91a3c74af5f04f",
-      "bytes": 393956,
-      "rows": 49,
-      "revision": "4918466e11a149700ede712a830ac03b2e3bc5a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:358e95d5-5c70-5e90-b7c4-80b915daa4b5",
     "numina:51dfb6ee-fb2b-5ec1-98f8-414eaff45303",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009047.lean\",\"8ab35e780a42135b35c813f463003a02c7db9294aab219ad9a053fad004dc762\",0,\"number_theory_228385\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009048.lean\",\"7b39de9bf6b18f9166c2c3bc3ebce96912d7134ed69447536d10769a247e24ce\",0,\"algebra_246845\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009049.lean\",\"969864a1d8e973f9614bb76ca61f375a2fd2c5045a4f51e369b985f37063672e\",0,\"number_theory_4496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393956,
+      "path": "data/train/pf5/numina-001809-0000-aa36d945a2ffc866.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "aa36d945a2ffc866d89868c3d5543a80278b9b15847ffb2c3f91a3c74af5f04f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001810.json b/manifests/batches/numina/001810.json
index ffd3b3756afd08c8fda892e9b6afa8038644e8a3..94effcb2ae6db891354e94741c3347fbd8a4779f 100644
--- a/manifests/batches/numina/001810.json
+++ b/manifests/batches/numina/001810.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001810",
   "batch_fingerprint": "faddc01c00948ee5c2a5de747aa37ac1cc2d200323fc40c327c452c79d317eb9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001810-0000-66a531e34be151fc.parquet",
-      "sha256": "66a531e34be151fc2adc5d359e99b25f926ce3884d12fd8357ca0e00ee6cbefb",
-      "bytes": 231981,
-      "rows": 34,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:30274a8a-69b9-580e-85c0-ba1a5b442800",
     "numina:40b1cff4-1366-5c09-984b-62549d8e5054",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009052.lean\",\"7febb0d6ce4f92af12f11bf0dfbd3b4546a727dbff911d057c034dd0eb7bca39\",0,\"algebra_109336\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009053.lean\",\"8da15fd9d8e498558cee1944ec51fa5b46e9632d9f3c23461234adba88a1502b\",0,\"algebra_608934\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009054.lean\",\"da18e82b8c5008d4dae928c624cc5946e617fcfb8f7a34b6f5778f93b784f0c2\",0,\"number_theory_246884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231981,
+      "path": "data/train/p7f/numina-001810-0000-66a531e34be151fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "66a531e34be151fc2adc5d359e99b25f926ce3884d12fd8357ca0e00ee6cbefb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001811.json b/manifests/batches/numina/001811.json
index 4447caea6a3bea6d9014296351423d1a3de056f5..93d497f7af32dad0795c70c3c225430743597872 100644
--- a/manifests/batches/numina/001811.json
+++ b/manifests/batches/numina/001811.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001811",
   "batch_fingerprint": "16b34934fbb287a046257a5b8a527311b63e5a2e86728c14e1c4b05efe31c2d9",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001811-0000-138988605ea769c9.parquet",
-      "sha256": "138988605ea769c9c783f9adddbe6493529437edd06735c033b0a14fac3f1ca3",
-      "bytes": 270011,
-      "rows": 30,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:311abd5c-9637-51b9-971c-7a7e7a544e98",
     "numina:622d6e5c-56a4-529a-b0dd-97f1ec5e8962",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009057.lean\",\"9875bb3a6cebee42f2e14705b935187343132a5a4f56591135f68a4701654702\",0,\"number_theory_160444\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009058.lean\",\"dfce4674483351589447e6a89f601086e52fb30fda51c99ea5cd463f45934a42\",0,\"number_theory_308578\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009059.lean\",\"ad3dd8836b63a1b4ea3a4ebd8b4d59a5017117677386fef89abc63a0ffd37d6d\",0,\"number_theory_607434\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270011,
+      "path": "data/train/pcf/numina-001811-0000-138988605ea769c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "138988605ea769c9c783f9adddbe6493529437edd06735c033b0a14fac3f1ca3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001812.json b/manifests/batches/numina/001812.json
index bfafc5cbea2ef5edb6c4cafc98202ccce03e244e..9505bd4e1e9dd064d539c2cc9ca0ee4fcdbc1f37 100644
--- a/manifests/batches/numina/001812.json
+++ b/manifests/batches/numina/001812.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001812",
   "batch_fingerprint": "e0d8ac30c18df7eea92356b7f6ab43edf12879f40586db35220f559570f3b201",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001812-0000-2c57ad26857f22fa.parquet",
-      "sha256": "2c57ad26857f22fa2be80779264088c6ae53479d0ed7de9f53e577aa0c998b8a",
-      "bytes": 699116,
-      "rows": 36,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:067e5d04-987a-5038-804c-57076a7c27d8",
     "numina:416f2975-9e05-59fe-b17d-f9cc6b8a35c0",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009062.lean\",\"b55b6389ab81732a8d5b83e440308feb527789d9d67122d617e88541ae7c01d3\",0,\"algebra_276278\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009063.lean\",\"87fa4402805c4ed4fb9954f84cd7add8fe117bd8dfc086a0d17ea4d9fbf2fd40\",0,\"inequalities_604319\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009064.lean\",\"e90956f7267343b1092287beac1d07164817839b1216a5633f587ec0d3bd4c4a\",0,\"algebra_308669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 699116,
+      "path": "data/train/p75/numina-001812-0000-2c57ad26857f22fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "2c57ad26857f22fa2be80779264088c6ae53479d0ed7de9f53e577aa0c998b8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001813.json b/manifests/batches/numina/001813.json
index 96a406e50a63e2e851cb6b23fbbff1e37081e115..9ce4c5211f17d5f091ec79d8931dcf8e73f0477d 100644
--- a/manifests/batches/numina/001813.json
+++ b/manifests/batches/numina/001813.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001813",
   "batch_fingerprint": "ce0e832868ac4dcd6fd597a3da78dea70261e2a3ff9cbb868a0d899bb083b063",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001813-0000-210b68562d080631.parquet",
-      "sha256": "210b68562d08063136babed6bc4cee488318165a9a20defb116578d210967d05",
-      "bytes": 692722,
-      "rows": 53,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/train/numina-001813-0001-ae2c1d0368cc21c6.parquet",
-      "sha256": "ae2c1d0368cc21c6c24d08b7ade73fb09bfc969a74238062a22d08a9c171fe59",
-      "bytes": 65970,
-      "rows": 3,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:46a70709-0680-5d59-aec3-d4e2542016f1",
     "numina:4beb2458-d0b9-5c56-a6e9-0dcf3eea6313",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009067.lean\",\"1b865cf8037f2ba8c479aa846a19aef301b692d4f1003b7c0367160d91a3b950\",0,\"algebra_241253\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009068.lean\",\"5b0186686507e6a218a09130d1466c34a29a787aa2bf428ab3069eaa66a0c59e\",0,\"algebra_16311\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009069.lean\",\"4fcec13508b3d7b49e5de8e239efbc4e778baff4b9c8848073860f9ad559a622\",0,\"algebra_107288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 692722,
+      "path": "data/train/pa8/numina-001813-0000-210b68562d080631.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 53,
+      "sha256": "210b68562d08063136babed6bc4cee488318165a9a20defb116578d210967d05"
+    },
+    {
+      "bytes": 65970,
+      "path": "data/train/pa8/numina-001813-0001-ae2c1d0368cc21c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ae2c1d0368cc21c6c24d08b7ade73fb09bfc969a74238062a22d08a9c171fe59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001814.json b/manifests/batches/numina/001814.json
index f523142b154000330ac0af35e3ec3e0d031603b9..0b684d51071ceae7e50a013ddd0a72a207fb0e79 100644
--- a/manifests/batches/numina/001814.json
+++ b/manifests/batches/numina/001814.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001814",
   "batch_fingerprint": "71e9044bb1bfd32fd9b226ade6f5ff0c6c1147774e0f36801e32d5504e8af999",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001814-0000-bc55f0697933aebd.parquet",
-      "sha256": "bc55f0697933aebdbf3892b6712ce8c0367c18dc953acb8430a32ca55ab0cc36",
-      "bytes": 289283,
-      "rows": 34,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/numina-001814-0000-5bdf0c1e1505d9c6.parquet",
-      "sha256": "5bdf0c1e1505d9c68fcb5230dbfaff78f9433d57f83c49bf57575bc43272271b",
-      "bytes": 258354,
-      "rows": 10,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00029a23-638f-5103-8ea9-42ca8caaf9bd",
     "numina:069d5dbb-deab-5cbd-980e-a28d7b5ab3fb",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009072.lean\",\"82e43393b2dbcdb9a7294b073f82e3664417f3bbeeafcd0a799ef328812fb62d\",0,\"algebra_174218\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009073.lean\",\"e949c335f98c22ccca04269537069542b92d06633fc865805fae63eb47b48145\",0,\"inequalities_604332\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009074.lean\",\"20bd9b40c646ab218cfb438c688afb572a1302bc6dcd6336e3c0133fed2e4d84\",0,\"algebra_276300\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289283,
+      "path": "data/train/p13/numina-001814-0000-bc55f0697933aebd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "bc55f0697933aebdbf3892b6712ce8c0367c18dc953acb8430a32ca55ab0cc36"
+    },
+    {
+      "bytes": 258354,
+      "path": "data/dev/p13/numina-001814-0000-5bdf0c1e1505d9c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5bdf0c1e1505d9c68fcb5230dbfaff78f9433d57f83c49bf57575bc43272271b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001815.json b/manifests/batches/numina/001815.json
index d0410f42893baf2859ad5a31c1a5a42d4b41401e..16b19013cc8a275a5fe86d37ea4ea1af10678b64 100644
--- a/manifests/batches/numina/001815.json
+++ b/manifests/batches/numina/001815.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001815",
   "batch_fingerprint": "ff7e9d18542ebc780598ea173211e035b732915a54a4de452802d5c4b915e356",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001815-0000-31ebe7990b4f3d02.parquet",
-      "sha256": "31ebe7990b4f3d0237cad84780f67ddbe170dcadce0ba01c3cf4bbecb9631992",
-      "bytes": 254513,
-      "rows": 39,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/numina-001815-0000-366d871d50a8623c.parquet",
-      "sha256": "366d871d50a8623c32d0c2c593d122c07154ca35708881960df675fd69d32d06",
-      "bytes": 31553,
-      "rows": 2,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:21fcbab0-0b1a-5e23-846b-2e1d9727a35b",
     "numina:877062a7-91af-5a93-bb41-4d9f1629396e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009077.lean\",\"9069f6e2f3c173bc383d64ca0dd1d94f44f81e7fbf15e57f5ce4542c9de67c59\",0,\"algebra_107373\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009078.lean\",\"69055075f4e64c68e9a7cfb28298724cef4a34aa9a6e70b5faee62768948b288\",0,\"algebra_14437\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009079.lean\",\"4744e65aa8fb0a8ff4aae633b1797842f8bf6f93cf8cd006ce2b4e80848059dc\",0,\"inequalities_604442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254513,
+      "path": "data/train/p0e/numina-001815-0000-31ebe7990b4f3d02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "31ebe7990b4f3d0237cad84780f67ddbe170dcadce0ba01c3cf4bbecb9631992"
+    },
+    {
+      "bytes": 31553,
+      "path": "data/internal_test/p0e/numina-001815-0000-366d871d50a8623c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "366d871d50a8623c32d0c2c593d122c07154ca35708881960df675fd69d32d06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001816.json b/manifests/batches/numina/001816.json
index 11fb719f6fee57bb41ec36e9ba0b1bc9cacc16e5..63d71be65a606c1a231c9b8566262a0f7558bc0a 100644
--- a/manifests/batches/numina/001816.json
+++ b/manifests/batches/numina/001816.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001816",
   "batch_fingerprint": "266f6a906063a14d95f3580077650fedf8fd6b7d5feb22c2caba0110326b3132",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001816-0000-7cfdfbef8263b0ec.parquet",
-      "sha256": "7cfdfbef8263b0ec24d98196489f270855ecdc2746ac39f9471a586129bb653f",
-      "bytes": 304060,
-      "rows": 46,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0ef6f461-a363-523b-baa3-d0517ff4f032",
     "numina:1162749d-5ab2-5191-90c8-2b926789dac6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009082.lean\",\"0fded181407a16a5f17fc05f513c31de26d89213f20692a12c0907bbc4fa56cf\",0,\"algebra_608950\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009083.lean\",\"ea277fac7d3269ac47b189709ec5969ccd590e1619737c4f7051798f573e51b4\",0,\"algebra_607519\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009084.lean\",\"5e034c705fdd03e6f281e50d51834305e69d1d21747e584318bcd00e46e6ab71\",0,\"algebra_20733\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304060,
+      "path": "data/train/pc5/numina-001816-0000-7cfdfbef8263b0ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 46,
+      "sha256": "7cfdfbef8263b0ec24d98196489f270855ecdc2746ac39f9471a586129bb653f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001817.json b/manifests/batches/numina/001817.json
index 89c2118d66b7a93b148354eefc70b2a4188ac5f5..c52ef0dbac8109da34a792ac3d43b54f397fb014 100644
--- a/manifests/batches/numina/001817.json
+++ b/manifests/batches/numina/001817.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001817",
   "batch_fingerprint": "7ba372fa06dccf7e712ba5a50c3814ebd125df55949fca0dbda0a19dde0176a2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001817-0000-28bc4d4af2b3478a.parquet",
-      "sha256": "28bc4d4af2b3478a5776301a5d002e66a275d7eeb2c6ede9b40c4b08a3482092",
-      "bytes": 241568,
-      "rows": 20,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/numina-001817-0000-72b6c1f8d1215c5e.parquet",
-      "sha256": "72b6c1f8d1215c5e8adf0e2089ac816d0fe578b915a76181bf97704864773319",
-      "bytes": 83624,
-      "rows": 6,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:19bb24e8-9558-5fe8-aa64-51c5d42d5fd1",
     "numina:475a0eac-8d1d-5fd0-985c-9a1607084da6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009087.lean\",\"045b95d596b18683dec40cd4f187c6c963f83c73f159c03a3ddbf6139757150e\",0,\"number_theory_13905\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009088.lean\",\"9ba3446f3009b8951c534e7e2ae9dfbae9930c50bff69c83eb30362d1c2bbde4\",0,\"algebra_604443\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009089.lean\",\"8a045de75a60309d15f4129584099a3b74d03119a5fe1ec6bdb4adf782518db3\",1,\"algebra_4078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241568,
+      "path": "data/train/pe5/numina-001817-0000-28bc4d4af2b3478a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "28bc4d4af2b3478a5776301a5d002e66a275d7eeb2c6ede9b40c4b08a3482092"
+    },
+    {
+      "bytes": 83624,
+      "path": "data/dev/pe5/numina-001817-0000-72b6c1f8d1215c5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "72b6c1f8d1215c5e8adf0e2089ac816d0fe578b915a76181bf97704864773319"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001818.json b/manifests/batches/numina/001818.json
index b9baa31fc8c22500b15418ff148cd796d859c528..f0b3cf2b65c4b23fcdfb071aa862ee5d66fc97d9 100644
--- a/manifests/batches/numina/001818.json
+++ b/manifests/batches/numina/001818.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001818",
   "batch_fingerprint": "c87cdf78b796cbbab2170bbf26f6ac49dac3ecf9961d0aad85aaf689bfbbe0b5",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001818-0000-f7053cde0f2c3752.parquet",
-      "sha256": "f7053cde0f2c37529f4a75f168c3f107d9c637d6b7dc181103f2701abfa23776",
-      "bytes": 52191,
-      "rows": 5,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/numina-001818-0000-8f97ec06091c009e.parquet",
-      "sha256": "8f97ec06091c009e1d2828cac5761dd4a9fc9e19871cac570b2f2db6758f5177",
-      "bytes": 65668,
-      "rows": 3,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/numina-001818-0000-d231d019d64bf31e.parquet",
-      "sha256": "d231d019d64bf31ec45ae2bfc3a60a0cc180d3c05e1f75c60066739459a296c1",
-      "bytes": 133002,
-      "rows": 22,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41ab7d3f-f9bc-54ec-9b48-47324e906d4f",
     "numina:4c81206a-e3b3-5898-8b00-e418003fabc2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009092.lean\",\"52fd98f35bbcb5906fbeaffed24ca046df28335f357099ae9719bddb1375b69c\",0,\"algebra_249663\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009093.lean\",\"c850e53d24b9dbe9bf21354b3eca54be8457c0aa1677a039181e1422202b47f9\",0,\"algebra_94114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009094.lean\",\"0b4a8e4843c0808189836277d991bc92c59faea0251106941cf6a031d427cf00\",0,\"inequalities_315292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52191,
+      "path": "data/train/p4d/numina-001818-0000-f7053cde0f2c3752.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f7053cde0f2c37529f4a75f168c3f107d9c637d6b7dc181103f2701abfa23776"
+    },
+    {
+      "bytes": 65668,
+      "path": "data/dev/p4d/numina-001818-0000-8f97ec06091c009e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8f97ec06091c009e1d2828cac5761dd4a9fc9e19871cac570b2f2db6758f5177"
+    },
+    {
+      "bytes": 133002,
+      "path": "data/internal_test/p4d/numina-001818-0000-d231d019d64bf31e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "d231d019d64bf31ec45ae2bfc3a60a0cc180d3c05e1f75c60066739459a296c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001819.json b/manifests/batches/numina/001819.json
index 8adb651b15b265fa938d7a74f394f9ba88728f61..6acbef091a1c5b6c0a75d0cbfa2675bb4a6dbc64 100644
--- a/manifests/batches/numina/001819.json
+++ b/manifests/batches/numina/001819.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001819",
   "batch_fingerprint": "e4d69361f5fdf483ffd1b7a3bf3344bf89bae5ed5b05303869e7fe432bdda4a7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001819-0000-3fe7606ee3b600d5.parquet",
-      "sha256": "3fe7606ee3b600d5de79e68fc213dfc74ed59cfa3b748e181c139aa9943490f9",
-      "bytes": 619624,
-      "rows": 63,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/train/numina-001819-0001-cb59b4b7b592775b.parquet",
-      "sha256": "cb59b4b7b592775b980f960b98f30bfe2ded59ea1e9eb785722edc8cd1e1d447",
-      "bytes": 154897,
-      "rows": 16,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:214ac95c-6f7f-5f52-8fc5-bc3b54129d42",
     "numina:45bb1b38-a8c9-522f-bb0e-61c11704128f",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009097.lean\",\"25b5abb1739f856b062100556e5fc11e52adacde54d57e6138f3c25e5e20c176\",0,\"inequalities_603359\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009098.lean\",\"92ac554a3a4f6a8b1442aaec21656da2870eab8bef141ffba3fc225dbdd1851d\",0,\"number_theory_609168\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009099.lean\",\"2e3109481cac0fa37820ef0b5026231dfc03b21c19bb9c9a1006e4ad5c575128\",1,\"algebra_4081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619624,
+      "path": "data/train/p61/numina-001819-0000-3fe7606ee3b600d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 63,
+      "sha256": "3fe7606ee3b600d5de79e68fc213dfc74ed59cfa3b748e181c139aa9943490f9"
+    },
+    {
+      "bytes": 154897,
+      "path": "data/train/p61/numina-001819-0001-cb59b4b7b592775b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "cb59b4b7b592775b980f960b98f30bfe2ded59ea1e9eb785722edc8cd1e1d447"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001820.json b/manifests/batches/numina/001820.json
index 43f8b5579081369718bdac471b86c9310ffbda48..6e5483137bf9a78d4d23ebeac4027fed7620942f 100644
--- a/manifests/batches/numina/001820.json
+++ b/manifests/batches/numina/001820.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001820",
   "batch_fingerprint": "e496ba0b11c69de561f11a984704251f311311c7ee089ed2394a94a7e7b031e9",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001820-0000-7cba419b54de3d57.parquet",
-      "sha256": "7cba419b54de3d570e6f1be00854dcead5c8267444dfe812c4c201c8cec78f7d",
-      "bytes": 106026,
-      "rows": 8,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/dev/numina-001820-0000-7ec14b104fb2d007.parquet",
-      "sha256": "7ec14b104fb2d0074f790a86ede4281556717fff87f910ccd30cf3ebdf8ce819",
-      "bytes": 26888,
-      "rows": 4,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    },
-    {
-      "path": "data/internal_test/numina-001820-0000-ff2835b7e78b4f86.parquet",
-      "sha256": "ff2835b7e78b4f8664205bf58f0071e9db534087d06cd06f5b782d1d2384c196",
-      "bytes": 236808,
-      "rows": 8,
-      "revision": "92174cfb739a3b09fefca85f0384dd24032fc694"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6a0c7ef7-221e-5dd3-81c8-f0b31cab0408",
     "numina:6e6134cc-a787-5f03-814e-1dbf35fc2183",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009102.lean\",\"214a9e4c850e48d12f13fc55cd29da4052b3a09deca7b166a7dbddb4617475e0\",0,\"algebra_10648\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009103.lean\",\"5f83fca2bfaa20b02a177587813b28cc0fbeaad150cc353201bd564315b2fc8d\",0,\"number_theory_143705\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009104.lean\",\"830a809641742d771d92b0c85711a097587fc075bc92ba8fd435e0a64433f4b5\",0,\"inequalities_315458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106026,
+      "path": "data/train/p0e/numina-001820-0000-7cba419b54de3d57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7cba419b54de3d570e6f1be00854dcead5c8267444dfe812c4c201c8cec78f7d"
+    },
+    {
+      "bytes": 26888,
+      "path": "data/dev/p0e/numina-001820-0000-7ec14b104fb2d007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7ec14b104fb2d0074f790a86ede4281556717fff87f910ccd30cf3ebdf8ce819"
+    },
+    {
+      "bytes": 236808,
+      "path": "data/internal_test/p0e/numina-001820-0000-ff2835b7e78b4f86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ff2835b7e78b4f8664205bf58f0071e9db534087d06cd06f5b782d1d2384c196"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001821.json b/manifests/batches/numina/001821.json
index fbc91e9f43a7fe06900e308391ff5f2d63bd716f..51d0da854df5f5c56c9794d12464101406335f8a 100644
--- a/manifests/batches/numina/001821.json
+++ b/manifests/batches/numina/001821.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001821",
   "batch_fingerprint": "fa3dde94e97f78219ad88dccab1d3a442df8fb2ca7dda4d3f4b35ee9d94b6b65",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001821-0000-f5083cd7497722bc.parquet",
-      "sha256": "f5083cd7497722bcb383617502a1e2f1bb75504a0f16f63305d31c77618b39ff",
-      "bytes": 111517,
-      "rows": 24,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3da844f5-d774-5cd6-ac25-a8aea9582145",
     "numina:81a906eb-0ca5-5780-9a4a-7523c9362cf3",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009107.lean\",\"87fe5df99faa752eb9ae5e83146f30e688bf296ebe5756814da468225ca162ce\",0,\"number_theory_4603\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009108.lean\",\"5e38c860138c5711763b3c8ee5137db93d2fafb2d3e5940d880f30dfcf03ab5b\",0,\"algebra_94128\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009109.lean\",\"a0e9e4f7f56791c23c349f9b33e97cb5b33741fec8b1adb0e43c6997897243e7\",1,\"algebra_9367_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111517,
+      "path": "data/train/pdc/numina-001821-0000-f5083cd7497722bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f5083cd7497722bcb383617502a1e2f1bb75504a0f16f63305d31c77618b39ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001822.json b/manifests/batches/numina/001822.json
index 462a3912222072f46fb20bb8cb9c8040bd2dd1f7..1983a07e9f40faa6a844be72f8a7c3e84ac9013c 100644
--- a/manifests/batches/numina/001822.json
+++ b/manifests/batches/numina/001822.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001822",
   "batch_fingerprint": "4ba94ace4be5d7c8ec52dd3fb77bb7bbcd56e077114b64670835afc222b81d74",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001822-0000-4813278a25ce5a40.parquet",
-      "sha256": "4813278a25ce5a4023d9f9b3c5f4a94818655dbad6473c5312ad60f7ac299951",
-      "bytes": 509414,
-      "rows": 35,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:677e1a17-ba9d-5562-a2e0-7f9249e7b32f",
     "numina:7fda4fb2-b924-582c-a5a6-7b37ef381fae",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009112.lean\",\"c3b03a5f58b4be559f4a884b8a69c5016b25f78cf0532303d4a24aaab708149c\",0,\"theorem_algebra_316155\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009113.lean\",\"c23f88a2b4ba0033400c19c97d66f0d8b810862f4682abbdd0d872a46ed1d95f\",0,\"algebra_23719\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009114.lean\",\"5192e8a81f61abdfd0796a4dc99d012d576e70137bd4a01082e989f8c5c0f9f8\",0,\"algebra_603443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509414,
+      "path": "data/train/p0c/numina-001822-0000-4813278a25ce5a40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "4813278a25ce5a4023d9f9b3c5f4a94818655dbad6473c5312ad60f7ac299951"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001823.json b/manifests/batches/numina/001823.json
index 37f712c7c8231f92cb39ff1cab25c13fa0450660..e69f6d5305986d4475db72fa0b9a35090ceea64f 100644
--- a/manifests/batches/numina/001823.json
+++ b/manifests/batches/numina/001823.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001823",
   "batch_fingerprint": "041323ed28d699b940653b973b6f3f66f8895bd15dfecfe4f22f95bc911730b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001823-0000-06056f12c9edcedb.parquet",
-      "sha256": "06056f12c9edcedb3a18ad413263f47f97babcfbabc2e121dd2fb498c1d137b8",
-      "bytes": 124190,
-      "rows": 26,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/dev/numina-001823-0000-a6cc7b95d1627f80.parquet",
-      "sha256": "a6cc7b95d1627f8032f90a39ad0217376de58ff54b16f707f6c1832271de93ff",
-      "bytes": 93524,
-      "rows": 11,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:146d2b1c-654a-53ef-bdfd-ef6bbc749680",
     "numina:abd31864-ba28-5f9b-b12d-e05881f43c48",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009117.lean\",\"ff2072264821b2f936d4d5def222b3508431e565922cdbc446ed827649730fa9\",1,\"number_theory_4616\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009118.lean\",\"5867adcd8688a113a5c8dd385711d148c920cc40a3d68bb66e0ec9279aa90e42\",0,\"algebra_156771\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009119.lean\",\"678cf4c8154572412d54698991bc76e7399a95ae187b4cb6bde0e7b1f4fbe5bd\",0,\"algebra_250301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124190,
+      "path": "data/train/p71/numina-001823-0000-06056f12c9edcedb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "06056f12c9edcedb3a18ad413263f47f97babcfbabc2e121dd2fb498c1d137b8"
+    },
+    {
+      "bytes": 93524,
+      "path": "data/dev/p71/numina-001823-0000-a6cc7b95d1627f80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a6cc7b95d1627f8032f90a39ad0217376de58ff54b16f707f6c1832271de93ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001824.json b/manifests/batches/numina/001824.json
index 39beaa61b524d66add91096da7bd61415eac6a9c..8db4665ebe6add0d5c04b04eafe9e7b2316d5f86 100644
--- a/manifests/batches/numina/001824.json
+++ b/manifests/batches/numina/001824.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001824",
   "batch_fingerprint": "d41cbed04f5c7fc497cb3f6e932bb6ceff01d868be768e5996ced911a8edc748",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001824-0000-adc824a193c9dcf3.parquet",
-      "sha256": "adc824a193c9dcf3afae8da6a1442244c3d6fe09160b4310c116055363d2f6df",
-      "bytes": 465397,
-      "rows": 56,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/numina-001824-0000-b073fc42b83f3f5e.parquet",
-      "sha256": "b073fc42b83f3f5eba4839b21ba6df120d8d9220b26d11034af23229f2911024",
-      "bytes": 68143,
-      "rows": 6,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1b0aac1f-56bb-56e5-8215-c8c136156f09",
     "numina:3dea4c52-d934-5e84-8df6-0d90873b9e3a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009122.lean\",\"43ba4f595a5073709101634d5b112d3c0af8a3bc341d3d620d9b50556d9e2e00\",0,\"calculus_22605\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009123.lean\",\"71242cc93d78a4a744a34c4c4d96d68006821ca4be19a4ad22c135bb85681b2a\",0,\"number_theory_116465\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009124.lean\",\"75c002a917356a2d5ae128ea6f345aeb08217e0c2b5cde68accf22ba731e1075\",0,\"algebra_316307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465397,
+      "path": "data/train/pab/numina-001824-0000-adc824a193c9dcf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 56,
+      "sha256": "adc824a193c9dcf3afae8da6a1442244c3d6fe09160b4310c116055363d2f6df"
+    },
+    {
+      "bytes": 68143,
+      "path": "data/internal_test/pab/numina-001824-0000-b073fc42b83f3f5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b073fc42b83f3f5eba4839b21ba6df120d8d9220b26d11034af23229f2911024"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001825.json b/manifests/batches/numina/001825.json
index 284d47193bc5fbaf9e134452ee5287c5cffbe9c6..efae98c8a7c8e5a2831a07df7c3a509638a11e88 100644
--- a/manifests/batches/numina/001825.json
+++ b/manifests/batches/numina/001825.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001825",
   "batch_fingerprint": "cf425b34f664d98f6123165d8198921ed8b184fe11c610f9e44afc54ab7407bf",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001825-0000-67d22442ea23eb50.parquet",
-      "sha256": "67d22442ea23eb50e1fa301a9198b6a3d848d5953413c3479824108532f8d3bf",
-      "bytes": 322714,
-      "rows": 36,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4e845b16-bd40-5ff8-830f-9f4b41a5b345",
     "numina:7562a6c8-f10f-5a54-b8d2-2fa2c5a3fcc6",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009127.lean\",\"f7fd0ea0af0b0a1ab12149181a9331af935573d4da76a07793cd88435b25d001\",0,\"algebra_215271\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009128.lean\",\"854464d788348337e6fc462b3fc5611a125b3ab189303571c38cfdf189b68684\",0,\"inequalities_603638\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009129.lean\",\"2b7ae34195f38d74d7465257ffcb852c18ed53387b96a9d5bbf258a8c4497176\",0,\"algebra_606054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322714,
+      "path": "data/train/p35/numina-001825-0000-67d22442ea23eb50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "67d22442ea23eb50e1fa301a9198b6a3d848d5953413c3479824108532f8d3bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001826.json b/manifests/batches/numina/001826.json
index d898293b1dbd35f643d50ea58f5e529f140cf523..e7ae34f7f888f54eeb99fcf79bcd560dbc80fdf2 100644
--- a/manifests/batches/numina/001826.json
+++ b/manifests/batches/numina/001826.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001826",
   "batch_fingerprint": "ced636a14367635c59149a4a961c563da6b3a81f85c59b9be1cb1f30c5bd4458",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001826-0000-d94db57a1cb3ef90.parquet",
-      "sha256": "d94db57a1cb3ef90467b90e94ca674faaace44c6f0e0e2eb4961400ffa9320d0",
-      "bytes": 327165,
-      "rows": 54,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:22cbf133-4acf-51b9-b104-0b115ba1c4d2",
     "numina:5123c6d4-2593-5bbb-95d0-ee05418701d3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009132.lean\",\"034396b7dae66b2a8a1a6c9f11ef91add98ba248e3ce35dfdce6403b86505a37\",0,\"calculus_156800\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009133.lean\",\"49c7b27fd59c0f1e4bd0101aacedc083c12e7349f367cea6bb80c5034d2184ee\",0,\"algebra_199099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009134.lean\",\"04b3e2a4d4ca7d4fbb32d28b99c7d546c5965d9d02660ca73540a7eff673bebd\",0,\"algebra_9370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327165,
+      "path": "data/train/p2d/numina-001826-0000-d94db57a1cb3ef90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 54,
+      "sha256": "d94db57a1cb3ef90467b90e94ca674faaace44c6f0e0e2eb4961400ffa9320d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001827.json b/manifests/batches/numina/001827.json
index 37a12eebc2857e38fab81b3a5f9dc7a29a62953a..de349ef55574bbd087b44d04a8b9384d75f1ffce 100644
--- a/manifests/batches/numina/001827.json
+++ b/manifests/batches/numina/001827.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001827",
   "batch_fingerprint": "f8b160ddd3009c0685cea46083e1362aaa91a37af162c179d24d2e4d5df8a76b",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001827-0000-3d9e9edf9a6cca17.parquet",
-      "sha256": "3d9e9edf9a6cca172c5bbecc706976bb9f71000dbfe9b631c4768e255e73e824",
-      "bytes": 389882,
-      "rows": 37,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/numina-001827-0000-7e4bcec511c4f189.parquet",
-      "sha256": "7e4bcec511c4f189725f4f83c04b15f89171dab6342915e412d923d6d4d07159",
-      "bytes": 74278,
-      "rows": 6,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:204207d6-f387-5461-b734-616d724151d4",
     "numina:60ef2d32-e4c4-55d7-850d-9176ec311ae8",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009137.lean\",\"90f52352f897127f4934c19e768b59baa9ec21dae7d4b502f8bff9d1870d3de0\",0,\"algebra_22606\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009138.lean\",\"48ecca310208063a9d9ce1cc73c7580fe95fe6d9d92fc7d06f939f3fe44a4c8a\",0,\"algebra_605568\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009139.lean\",\"b71c3cce8494774cac3c0d99e582173fb4b467d8868ff8ac0a752f17abaa2d7f\",0,\"algebra_603652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 389882,
+      "path": "data/train/p11/numina-001827-0000-3d9e9edf9a6cca17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "3d9e9edf9a6cca172c5bbecc706976bb9f71000dbfe9b631c4768e255e73e824"
+    },
+    {
+      "bytes": 74278,
+      "path": "data/internal_test/p11/numina-001827-0000-7e4bcec511c4f189.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7e4bcec511c4f189725f4f83c04b15f89171dab6342915e412d923d6d4d07159"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001828.json b/manifests/batches/numina/001828.json
index c34374fe6430473d2235869c48b07c45710ba8d8..7c2d043f0b2f59edfee8c03e0079cce5a816204b 100644
--- a/manifests/batches/numina/001828.json
+++ b/manifests/batches/numina/001828.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001828",
   "batch_fingerprint": "0db93878ac30b9b53a6fcb431845f9cd8fdd08bbbd3cb977da7afec5c895c3da",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001828-0000-b15bd05d29ed5f81.parquet",
-      "sha256": "b15bd05d29ed5f81a3b189d6416d5a016f650d70feb8a6d0c51c23de0cb5c2aa",
-      "bytes": 508249,
-      "rows": 97,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    },
-    {
-      "path": "data/internal_test/numina-001828-0000-2d36af9792080be6.parquet",
-      "sha256": "2d36af9792080be6b79f1d20154f233f6a22599524d3ca6c8e05d3aa2eafcb85",
-      "bytes": 46583,
-      "rows": 5,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:44c4e680-19f0-5085-8351-662a4727122e",
     "numina:812bbef8-f380-5172-9304-4eee4eedac12",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009142.lean\",\"92d0cfdffcb40cefe7e87f70611dbd594e647847be76bf59dbffd4f1a603b1f9\",0,\"algebra_609449\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009143.lean\",\"9255ef6db5e54865b259542d94bcbd1db5fa4dba094ff871801c64a1e4d8daa9\",0,\"algebra_9372\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009144.lean\",\"8e6339ee4bc9145c22d11a902bf5daf0e08141898cb0b9776b17c008b6df630c\",0,\"inequalities_164111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 508249,
+      "path": "data/train/p56/numina-001828-0000-b15bd05d29ed5f81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 97,
+      "sha256": "b15bd05d29ed5f81a3b189d6416d5a016f650d70feb8a6d0c51c23de0cb5c2aa"
+    },
+    {
+      "bytes": 46583,
+      "path": "data/internal_test/p56/numina-001828-0000-2d36af9792080be6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2d36af9792080be6b79f1d20154f233f6a22599524d3ca6c8e05d3aa2eafcb85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001829.json b/manifests/batches/numina/001829.json
index f565e2838490220ebc71bdd04bfe17ab539e3cac..41599fc87df633df48c8d2b879846a32e1cd148b 100644
--- a/manifests/batches/numina/001829.json
+++ b/manifests/batches/numina/001829.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001829",
   "batch_fingerprint": "18eb24afe48e72e6c79c75d15aa6581b6e2d0957f01759298dcd44eaeb4dfdca",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:02c12297-41dd-5e28-b8be-28a958ce5972",
+    "numina:0f81f728-5f07-558f-b0dc-3b160dd737a2",
+    "numina:1c6642bd-40e3-55d0-a193-5ab7a699a427",
+    "numina:41f7db81-e10f-51b2-ac62-032d3c7b1e6d",
+    "numina:c3c6589e-c0ac-527b-9536-42e10a9c34e1"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009145.lean\",\"f1542f44dd21bdc99b111dd2d3e58fd4754d771712bb9b51093107b2c558255f\",0,\"number_theory_98068\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009146.lean\",\"94d370bbaa1a5fc2be8384385ebfcfcce9e9e0afa3978ca8549fed4fee3f5bde\",0,\"number_theory_11193\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009147.lean\",\"f11f55450827f69684a714e12f0bfe918cd90c8133c7281a112a54e3508e3746\",0,\"algebra_186157\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009148.lean\",\"3012657ba95a57e007b89a523b5df4b9341b7b3972361668a0356dba81ab22c9\",0,\"inequalities_603837\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009149.lean\",\"c446ab9b0a6b5c76c367ba92bb0d20da13010fd83b251ebbce3c4724f951a0c3\",0,\"algebra_9373\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001829-0000-69c2352b7383ea98.parquet",
-      "sha256": "69c2352b7383ea98c23bee457fd43e7c238deef08eb3c6b20929b5b01e116540",
       "bytes": 452236,
+      "path": "data/train/pe7/numina-001829-0000-69c2352b7383ea98.parquet",
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       "rows": 41,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
+      "sha256": "69c2352b7383ea98c23bee457fd43e7c238deef08eb3c6b20929b5b01e116540"
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-      "sha256": "dccf68b78aa90b5403ec22a4f9c9ae09c96096ad941a4125c165aeaf7f233098",
       "bytes": 628197,
+      "path": "data/train/pe7/numina-001829-0001-dccf68b78aa90b54.parquet",
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       "rows": 7,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
+      "sha256": "dccf68b78aa90b5403ec22a4f9c9ae09c96096ad941a4125c165aeaf7f233098"
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     {
-      "path": "data/train/numina-001829-0002-36086b6f11befb95.parquet",
-      "sha256": "36086b6f11befb95b8f9f892f23c43f1459ba2cc03ef0d1cb713e0c78c1621da",
       "bytes": 834132,
+      "path": "data/train/pe7/numina-001829-0002-36086b6f11befb95.parquet",
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       "rows": 16,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
+      "sha256": "36086b6f11befb95b8f9f892f23c43f1459ba2cc03ef0d1cb713e0c78c1621da"
     },
     {
-      "path": "data/dev/numina-001829-0000-5bf86315ed071bf4.parquet",
-      "sha256": "5bf86315ed071bf4355961ae90bca26e47a92ce33a8e7bc65d480dff0faba2e4",
       "bytes": 102706,
+      "path": "data/dev/pe7/numina-001829-0000-5bf86315ed071bf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eab7e19fe91a6270e6f789319b836372b58ed817"
+      "sha256": "5bf86315ed071bf4355961ae90bca26e47a92ce33a8e7bc65d480dff0faba2e4"
     }
-  ],
-  "proof_ids": [
-    "numina:02c12297-41dd-5e28-b8be-28a958ce5972",
-    "numina:0f81f728-5f07-558f-b0dc-3b160dd737a2",
-    "numina:1c6642bd-40e3-55d0-a193-5ab7a699a427",
-    "numina:41f7db81-e10f-51b2-ac62-032d3c7b1e6d",
-    "numina:c3c6589e-c0ac-527b-9536-42e10a9c34e1"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009145.lean\",\"f1542f44dd21bdc99b111dd2d3e58fd4754d771712bb9b51093107b2c558255f\",0,\"number_theory_98068\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009146.lean\",\"94d370bbaa1a5fc2be8384385ebfcfcce9e9e0afa3978ca8549fed4fee3f5bde\",0,\"number_theory_11193\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009147.lean\",\"f11f55450827f69684a714e12f0bfe918cd90c8133c7281a112a54e3508e3746\",0,\"algebra_186157\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009148.lean\",\"3012657ba95a57e007b89a523b5df4b9341b7b3972361668a0356dba81ab22c9\",0,\"inequalities_603837\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009149.lean\",\"c446ab9b0a6b5c76c367ba92bb0d20da13010fd83b251ebbce3c4724f951a0c3\",0,\"algebra_9373\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001830.json b/manifests/batches/numina/001830.json
index 252c857df4d30cea59e6e5a1fb282302d0a95bd6..39e2517080af36ce78c6ff3a8ecc105b7c8796c9 100644
--- a/manifests/batches/numina/001830.json
+++ b/manifests/batches/numina/001830.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001830",
   "batch_fingerprint": "8b0ecb0a0f3c3daf297f3a6fac71ef6b7f12c57e8607fc238df888f0fc63cc8d",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001830-0000-e4230134adbd750e.parquet",
-      "sha256": "e4230134adbd750e7bdee2784c326987b1cc2ea15ced7d7bd22ff7d8f0b82c2b",
-      "bytes": 324463,
-      "rows": 25,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:3efde70c-9b3f-5a8e-a7dc-bbbf7c1eb297",
     "numina:51b14348-5389-5557-81ef-d87a936a63aa",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009152.lean\",\"e3dbe78e9dfa2c122561fdf748d1741f5fea84cfb2c0ef0cda5324e34252eec7\",0,\"number_theory_241825\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009153.lean\",\"b168acbc814ebba3cfafa2b2d094ef63c8f507d2a2eff300830febc1d0011faa\",0,\"algebra_13907\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009154.lean\",\"9d1d2ed1b222de5a573f59f60dbbca3d8354953da71100ddc3ee47d5e008a300\",0,\"algebra_605576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324463,
+      "path": "data/train/pfd/numina-001830-0000-e4230134adbd750e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e4230134adbd750e7bdee2784c326987b1cc2ea15ced7d7bd22ff7d8f0b82c2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001831.json b/manifests/batches/numina/001831.json
index af5e2166080b1e0e245317421c3fe2fb712c8bed..3517d05ab443cae660114e98b3b3574136bc0483 100644
--- a/manifests/batches/numina/001831.json
+++ b/manifests/batches/numina/001831.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001831",
   "batch_fingerprint": "62df960834d8d9526605a01c3e2962d538a0c5d648e8a9ed83c9ac5df840734b",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001831-0000-f14dc1087c6e79a1.parquet",
-      "sha256": "f14dc1087c6e79a10180fafaaa4024d80cf6af96db41e468936f450c201d023e",
-      "bytes": 658787,
-      "rows": 59,
-      "revision": "5665b951dff583a104c852cf0a5e81a0e0fc248e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:74ca5f06-039a-5fba-a06a-c1161ea30dc7",
     "numina:8065909d-e563-59e6-bc03-33bea2e20f93",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009157.lean\",\"cc0ca6056f73c4c074e9af9b02ff3703026ece21bf9d2254fbd278e8c7075933\",0,\"algebra_96632\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009158.lean\",\"41ee5aaed63fe5b4ee1a646aeeb67c7166b55987ebcb7bfb09203d3868edc4e9\",0,\"algebra_90744\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009159.lean\",\"e06831cb4f7ee3bed30fbd8a557c23ddb229f0c0bb74c708ed16ef9349c6f165\",0,\"number_theory_293532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 658787,
+      "path": "data/train/p97/numina-001831-0000-f14dc1087c6e79a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "f14dc1087c6e79a10180fafaaa4024d80cf6af96db41e468936f450c201d023e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001832.json b/manifests/batches/numina/001832.json
index 1951342d5b8a86550cdbf2c3da63abce92030846..022ce09dbee544db7f3542988acb17740b109b8e 100644
--- a/manifests/batches/numina/001832.json
+++ b/manifests/batches/numina/001832.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001832",
   "batch_fingerprint": "2031c33c2eca41227a70521702ab37be0a04c32ba3650ab59b06fd7498cc87e6",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:088fa4ba-b007-592d-80dc-606be4223efc",
+    "numina:1c8c395a-716b-5caf-95ab-d8ed8ba3a6e9",
+    "numina:4d25cb85-8218-554a-9534-588457bb35c8",
+    "numina:e868a33f-362e-55f5-ae8b-c2602f2da59e"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009160.lean\",\"ee8e769db75a93cca1c796189d5c17e334fee91f18526ece311bc6e1e768f993\",2,\"number_theory_4650_3\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009161.lean\",\"54b1e683450762692a2cfa0d57ae22373bfaeb43b62eae06c15979a35214040f\",0,\"algebra_160621\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009162.lean\",\"3ff0a702b000756feb4e373ba86efe62bd10631a948bb4841819f119cb68b767\",0,\"number_theory_4791\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009164.lean\",\"0057bf40e83c8f35d6051cba0bcf8e2ef42cc824c60f19569625bfed369d895b\",0,\"number_theory_211660\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001832-0000-aed75d58951e9f05.parquet",
-      "sha256": "aed75d58951e9f051d1bf82b2d6afa2e89bebd42e49d18a006d29a95ac36d4ec",
       "bytes": 277881,
+      "path": "data/train/pea/numina-001832-0000-aed75d58951e9f05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
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-      "path": "data/train/numina-001832-0001-3a4e5fba20899cba.parquet",
-      "sha256": "3a4e5fba20899cba3e1bdc5f994826eb1bb657827353619f3d0f425130608ed3",
       "bytes": 485678,
+      "path": "data/train/pea/numina-001832-0001-3a4e5fba20899cba.parquet",
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       "rows": 5,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
+      "sha256": "3a4e5fba20899cba3e1bdc5f994826eb1bb657827353619f3d0f425130608ed3"
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     {
-      "path": "data/train/numina-001832-0002-7710ffefe8ff2dc0.parquet",
-      "sha256": "7710ffefe8ff2dc0d014d900c1fd9353e3c3c2bdd5cdc157967867bea4c2b404",
       "bytes": 117625,
+      "path": "data/train/pea/numina-001832-0002-7710ffefe8ff2dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
+      "sha256": "7710ffefe8ff2dc0d014d900c1fd9353e3c3c2bdd5cdc157967867bea4c2b404"
     }
-  ],
-  "proof_ids": [
-    "numina:088fa4ba-b007-592d-80dc-606be4223efc",
-    "numina:1c8c395a-716b-5caf-95ab-d8ed8ba3a6e9",
-    "numina:4d25cb85-8218-554a-9534-588457bb35c8",
-    "numina:e868a33f-362e-55f5-ae8b-c2602f2da59e"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009160.lean\",\"ee8e769db75a93cca1c796189d5c17e334fee91f18526ece311bc6e1e768f993\",2,\"number_theory_4650_3\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009161.lean\",\"54b1e683450762692a2cfa0d57ae22373bfaeb43b62eae06c15979a35214040f\",0,\"algebra_160621\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009162.lean\",\"3ff0a702b000756feb4e373ba86efe62bd10631a948bb4841819f119cb68b767\",0,\"number_theory_4791\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009164.lean\",\"0057bf40e83c8f35d6051cba0bcf8e2ef42cc824c60f19569625bfed369d895b\",0,\"number_theory_211660\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001833.json b/manifests/batches/numina/001833.json
index 3ff14ed6fbe6b22671604dc1d207e8bb281bb383..66e48855caa73cf6987e7632a2c42e849c8eb8b8 100644
--- a/manifests/batches/numina/001833.json
+++ b/manifests/batches/numina/001833.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001833",
   "batch_fingerprint": "268802fc7b2ef7c62dba2ac4ca7a0699ca70e201be3b1736b2effcb36636add3",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001833-0000-6a25fa00307105cf.parquet",
-      "sha256": "6a25fa00307105cfb5b9c4db8edb3536294507ccc6f17dcec914f294a0f83c3b",
-      "bytes": 148495,
-      "rows": 8,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/train/numina-001833-0001-0743e647a7f05c0b.parquet",
-      "sha256": "0743e647a7f05c0b747c93afc3d89e1601ef58593b1fd8b8f77e691ae9f09531",
-      "bytes": 824335,
-      "rows": 1,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/train/numina-001833-0002-edb755fb085508e7.parquet",
-      "sha256": "edb755fb085508e7bacdbd7bdcaf5b5837fced453b0d998bf7952fc901fe24e6",
-      "bytes": 322303,
-      "rows": 29,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1efaf83f-aad4-5782-a597-3e961a00c8ab",
     "numina:488f82c8-bc6b-547d-aac2-81f4306d42b8",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009167.lean\",\"e33791de241308e5725d22915caaee03917513239dee420271aa20d228df37a4\",0,\"number_theory_43019\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009168.lean\",\"93fb5cd9acbb46220b4d2ad97def1f06cbb3e868b5cd023491b14546076dd640\",0,\"algebra_188294\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009169.lean\",\"beaf318b14cc14b923e4d2748f93504abeab0cd229a373c576a42c2e448d9f7d\",0,\"algebra_9096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148495,
+      "path": "data/train/p2e/numina-001833-0000-6a25fa00307105cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6a25fa00307105cfb5b9c4db8edb3536294507ccc6f17dcec914f294a0f83c3b"
+    },
+    {
+      "bytes": 824335,
+      "path": "data/train/p2e/numina-001833-0001-0743e647a7f05c0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "0743e647a7f05c0b747c93afc3d89e1601ef58593b1fd8b8f77e691ae9f09531"
+    },
+    {
+      "bytes": 322303,
+      "path": "data/train/p2e/numina-001833-0002-edb755fb085508e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "edb755fb085508e7bacdbd7bdcaf5b5837fced453b0d998bf7952fc901fe24e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001834.json b/manifests/batches/numina/001834.json
index f9b11c06088f4ade5eb9ff5ae153b8f4ee5278f3..2a1659e445c0e3dab21b59778b5b26f4a74889a6 100644
--- a/manifests/batches/numina/001834.json
+++ b/manifests/batches/numina/001834.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001834",
   "batch_fingerprint": "e377f7d1473b69ddb16e4828b3d92ec97579d4eebf5cd12107c235cba1d174d8",
   "evidence": {
@@ -38,22 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001834-0000-bbacf949f0f5c73d.parquet",
-      "sha256": "bbacf949f0f5c73ddd6f0fd292cc4c9ca29ffe8d61c247bc2a7811bb03ed7c2f",
-      "bytes": 327839,
-      "rows": 18,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/dev/numina-001834-0000-4040713e6dad4ffd.parquet",
-      "sha256": "4040713e6dad4ffdeddae1bf9d18e31cf47b47bde35ab2250553f562fd6d7701",
-      "bytes": 62048,
-      "rows": 17,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2088139e-5e11-5c76-bd89-1afb9db15c8b",
     "numina:61454be8-5d04-5fe4-8111-be98642867de",
@@ -65,5 +49,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009171.lean\",\"ee9341e327f526abe005770e0d8e8971ffe6c1f1f419ea9dddd83268084e740f\",0,\"algebra_609160\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009173.lean\",\"0b7f388b40f82d67da65815dd296a3220fe3408341feab3813d97828ad833243\",1,\"number_theory_4503_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009174.lean\",\"ae9260247ddc4861c4a2190a1e7fad53acd8ed49f788f82b2d8dc2a3ce8841ed\",0,\"number_theory_605359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327839,
+      "path": "data/train/p8c/numina-001834-0000-bbacf949f0f5c73d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "bbacf949f0f5c73ddd6f0fd292cc4c9ca29ffe8d61c247bc2a7811bb03ed7c2f"
+    },
+    {
+      "bytes": 62048,
+      "path": "data/dev/p8c/numina-001834-0000-4040713e6dad4ffd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4040713e6dad4ffdeddae1bf9d18e31cf47b47bde35ab2250553f562fd6d7701"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001835.json b/manifests/batches/numina/001835.json
index b82133c6f3b7042be79206f803c8faf5828bf107..057ec0b748c9724a04e47b479ab4cda81b8074e5 100644
--- a/manifests/batches/numina/001835.json
+++ b/manifests/batches/numina/001835.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001835",
   "batch_fingerprint": "cb12b6cc80174a2c712669038fa581bb4e23cebf467d92b06007c7d84d2f5f2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001835-0000-19f6289be0c55492.parquet",
-      "sha256": "19f6289be0c55492a5e39d62cbf1e5666e429d42d8e60ae5d5d10d44aad73309",
-      "bytes": 741633,
-      "rows": 35,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/numina-001835-0000-1059edcee97538f3.parquet",
-      "sha256": "1059edcee97538f33329f810d0540ac9d82ba11e997b8c5e6619a57033e22602",
-      "bytes": 182035,
-      "rows": 12,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6221e29f-c54f-52af-8965-e66661411267",
     "numina:8e867072-25eb-5691-b571-789db26a1ee6",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009177.lean\",\"b069eb679fce72b3c7b1380f2a0360f17f0964562b755e4c64c8639517ddc322\",0,\"algebra_248047\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009178.lean\",\"60a301a516fa7bf2338746e2eb550238caafb2b512ca0c299f9b4922391dbc18\",0,\"number_theory_4504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009179.lean\",\"52739cb9d7d42bc0e0281a0af553852b234f8b98d2d86c411a6523079e74bb7e\",0,\"inequalities_605376\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 741633,
+      "path": "data/train/p6f/numina-001835-0000-19f6289be0c55492.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "19f6289be0c55492a5e39d62cbf1e5666e429d42d8e60ae5d5d10d44aad73309"
+    },
+    {
+      "bytes": 182035,
+      "path": "data/internal_test/p6f/numina-001835-0000-1059edcee97538f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1059edcee97538f33329f810d0540ac9d82ba11e997b8c5e6619a57033e22602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001836.json b/manifests/batches/numina/001836.json
index 1666f2199cf518220a260561e9420bb9da8a285d..2bcf0d9b493b6c49aae05e247e221c0c133e3c46 100644
--- a/manifests/batches/numina/001836.json
+++ b/manifests/batches/numina/001836.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001836",
   "batch_fingerprint": "fccce4fbf1034992cc74f9eddf218b770b91cd72966d8d077777d7fea24cefc9",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001836-0000-205e61e4c544da32.parquet",
-      "sha256": "205e61e4c544da32706da4e12b3770edc50016fd87b214e1d41064601d13ce1c",
-      "bytes": 278432,
-      "rows": 23,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/numina-001836-0000-abe0ed7f6d37aeef.parquet",
-      "sha256": "abe0ed7f6d37aeefc196af6e50e15e1e72de245dae278c6e5d5063146c38f280",
-      "bytes": 160287,
-      "rows": 13,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4a2c5fbe-f996-5362-9563-86ee5a61fe51",
     "numina:b8a9a485-6f46-5017-a696-418dfb31a383",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009182.lean\",\"905132f744c9a8b8bc99c03148305cdd14ba64a9f2293a09dfe32f4759b55fb1\",0,\"algebra_9099\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009183.lean\",\"3980ffb84806ad31d7197527e48b9ece1df916bc8e1133ec75342f5d1678dcec\",0,\"number_theory_152633\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009184.lean\",\"511ca34a79d6f55ba6854c3329d065813fdd0d9ea167e3993c444bfc65dac028\",0,\"number_theory_4505\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278432,
+      "path": "data/train/p7c/numina-001836-0000-205e61e4c544da32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "205e61e4c544da32706da4e12b3770edc50016fd87b214e1d41064601d13ce1c"
+    },
+    {
+      "bytes": 160287,
+      "path": "data/internal_test/p7c/numina-001836-0000-abe0ed7f6d37aeef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "abe0ed7f6d37aeefc196af6e50e15e1e72de245dae278c6e5d5063146c38f280"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001837.json b/manifests/batches/numina/001837.json
index a86e54a37515ec6c62dbe6c871a7f42af25b8e10..6c31d042604465ae013c5d76a0027a1db8d40192 100644
--- a/manifests/batches/numina/001837.json
+++ b/manifests/batches/numina/001837.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001837",
   "batch_fingerprint": "bbb80eeaf6d0c6410e8630026a6de7952713ac932e7c59a58c54ef5e3e49e24e",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001837-0000-781b4537d1191928.parquet",
-      "sha256": "781b4537d1191928a02cd796b5c83948d59314e9983965075be89b8bd6d954af",
-      "bytes": 515333,
-      "rows": 44,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/train/numina-001837-0001-f26f6593edf99806.parquet",
-      "sha256": "f26f6593edf99806dea0d4890527ba781e3238864dbe4e0f5bf03fb949ccaa27",
-      "bytes": 268619,
-      "rows": 6,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    },
-    {
-      "path": "data/internal_test/numina-001837-0000-bd97af96d9caa183.parquet",
-      "sha256": "bd97af96d9caa18398c0d151e7e1d564625cd6ae70b7985f2628a28725071fd2",
-      "bytes": 158761,
-      "rows": 7,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1d2ee71a-e9a3-50dd-b703-2fdf58db03d7",
     "numina:42f5ee46-7d9a-5521-a1c6-756b0cd140e8",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009187.lean\",\"d5ba4f520e0016cbdd283e9877a05d4adec95b47c83cbb3fdb1bcb9e3636e4f5\",0,\"algebra_252352\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009188.lean\",\"b6d15f101bc7dee136b48d5ff98e895248fd387dcd638ffe490953fe0131142a\",0,\"algebra_317397\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009189.lean\",\"991a3e84ea8ae5ca2e33e8f7991223c1ff1eb72ead6951cccbf08d66f151d3cc\",0,\"algebra_248758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515333,
+      "path": "data/train/pe5/numina-001837-0000-781b4537d1191928.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "781b4537d1191928a02cd796b5c83948d59314e9983965075be89b8bd6d954af"
+    },
+    {
+      "bytes": 268619,
+      "path": "data/train/pe5/numina-001837-0001-f26f6593edf99806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f26f6593edf99806dea0d4890527ba781e3238864dbe4e0f5bf03fb949ccaa27"
+    },
+    {
+      "bytes": 158761,
+      "path": "data/internal_test/pe5/numina-001837-0000-bd97af96d9caa183.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bd97af96d9caa18398c0d151e7e1d564625cd6ae70b7985f2628a28725071fd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001838.json b/manifests/batches/numina/001838.json
index 42ad0160e759edad90e9da492a8695ce399def87..5f1d5b9a4f1653bdf6a07cdaaaee5c1da77a9534 100644
--- a/manifests/batches/numina/001838.json
+++ b/manifests/batches/numina/001838.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001838",
   "batch_fingerprint": "add29705452e83c64b7feeb5bf73f5e8775122804c1951f6863d64a3e58cbe87",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001838-0000-8be4aa421a4e2e96.parquet",
-      "sha256": "8be4aa421a4e2e96f03bfdcbf7ad245ce046d8703462707e52d46ab17f616e0a",
-      "bytes": 608061,
-      "rows": 39,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:27c9897c-5f5b-5366-bd2c-8a7e95fc9441",
     "numina:3fa78c24-13f5-51f0-ac7c-5c10075d141f",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009192.lean\",\"52b12ef6eeccefc92bfe41c4047abf5d2e9e555826dce8ca7cbbdd15c2d08739\",0,\"algebra_12962\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009193.lean\",\"bd82defb645e2f90e37a0add5ba22e8ecd187435bf4ed530461b332af229fd78\",0,\"number_theory_180065\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009194.lean\",\"9215da4c9531b7e9b047015893819a7ab9b190282eef7ebd6cd3bf4d73fb741c\",0,\"algebra_24739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 608061,
+      "path": "data/train/pa9/numina-001838-0000-8be4aa421a4e2e96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "8be4aa421a4e2e96f03bfdcbf7ad245ce046d8703462707e52d46ab17f616e0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001839.json b/manifests/batches/numina/001839.json
index 466ccce2f40f0e1a642c508c1fc0d20f2a7a5ade..e03bd9dcb06fd3f5cca1c0f9f4a2d6bf1ece1f07 100644
--- a/manifests/batches/numina/001839.json
+++ b/manifests/batches/numina/001839.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001839",
   "batch_fingerprint": "b328666229daeb41d56fc5d729354511d6517524207ff27af79a58520eb283e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001839-0000-786a3cfbc456be40.parquet",
-      "sha256": "786a3cfbc456be40c958cfbcb223ec20a9ebd46631e285ca01bb2560e024d1c1",
-      "bytes": 384622,
-      "rows": 42,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:006d3207-3edc-581b-8669-0bb21809953a",
     "numina:0f59ff94-c01f-5e8e-b8e7-600795769948",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009197.lean\",\"ef8f44e56363a191d48605cde4d520721db2d2a5c3db9f4b66b603acdc0ffe06\",0,\"number_theory_198437\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009198.lean\",\"de5e4c5af63fd811deac7c0200c4a481fd2921fdc9438da932f7ce4af83749b9\",1,\"number_theory_4512_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009199.lean\",\"52c47711520d526e70c3f31b456e11f1c10b6cc5b33c21210f95afc5228c4e38\",0,\"inequalities_113425\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384622,
+      "path": "data/train/pc4/numina-001839-0000-786a3cfbc456be40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "786a3cfbc456be40c958cfbcb223ec20a9ebd46631e285ca01bb2560e024d1c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001840.json b/manifests/batches/numina/001840.json
index 68e0643d60e90b6ee15de6a62133bdd591c15d9a..921918f47561146c1c09225e668915081c9d04bd 100644
--- a/manifests/batches/numina/001840.json
+++ b/manifests/batches/numina/001840.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001840",
   "batch_fingerprint": "619ec5744efca35b0d7e288f68f3b96cf9084598337c418e1ad1ed59e5a8c56f",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:66d1789e-a769-545a-bf6b-9074e9cf56b5",
+    "numina:68e74a3f-8837-55db-b2be-274368cf9760",
+    "numina:6e65626a-1606-5247-b7ba-7f896c969107",
+    "numina:e465e991-5d44-5382-867f-80936e91101d",
+    "numina:fd4d972b-78ac-52e4-b560-8a7326eabab7"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009200.lean\",\"5204260379e0759a7989e355836e1cda0b589faad880ca9ac1ec8ef868224c9e\",0,\"algebra_317602\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009201.lean\",\"3fea5c8a9af3841e4240d21ef249821cf5836d08e52b5e675050066b7ef3defd\",0,\"number_theory_24742\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009202.lean\",\"a475b6bf47f31bf0caff6aa0dfc9bcf7b21ea657375ef09f4ace0bae53d3cae1\",0,\"number_theory_180117\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009203.lean\",\"aaabcfdc8507c0dd7b74f62d7e06110c654973685ba1196f3d0d7f3118c46c4f\",0,\"number_theory_23051\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009204.lean\",\"b0f4fdc29c28c2a4e273cc29b614e86a562412f61f5be66ec4db5c494dda32eb\",0,\"algebra_9103\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001840-0000-71199fade095145f.parquet",
-      "sha256": "71199fade095145fc3c885d47941b1149fe9f7f90b8f4c2c68a9627a9c23f1a0",
       "bytes": 37304,
+      "path": "data/train/pe9/numina-001840-0000-71199fade095145f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
+      "sha256": "71199fade095145fc3c885d47941b1149fe9f7f90b8f4c2c68a9627a9c23f1a0"
     },
     {
-      "path": "data/train/numina-001840-0001-07f235cf6fb30df6.parquet",
-      "sha256": "07f235cf6fb30df6175ee062942a092a4aa20cc01028a1ce658b9c990c7c397e",
       "bytes": 821414,
+      "path": "data/train/pe9/numina-001840-0001-07f235cf6fb30df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
+      "sha256": "07f235cf6fb30df6175ee062942a092a4aa20cc01028a1ce658b9c990c7c397e"
     },
     {
-      "path": "data/train/numina-001840-0002-28179f3030beb93f.parquet",
-      "sha256": "28179f3030beb93f585d0915188b127ae534f7d4c9390a19fb686d12ad3af37a",
       "bytes": 212456,
+      "path": "data/train/pe9/numina-001840-0002-28179f3030beb93f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
+      "sha256": "28179f3030beb93f585d0915188b127ae534f7d4c9390a19fb686d12ad3af37a"
     },
     {
-      "path": "data/internal_test/numina-001840-0000-219c09f1948a2cde.parquet",
-      "sha256": "219c09f1948a2cde198aa7aa15a392d5d338abaa24dfbcceb075b0934ad4a11c",
       "bytes": 186047,
+      "path": "data/internal_test/pe9/numina-001840-0000-219c09f1948a2cde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "e2f4faf1a919e5366ad854015e74f1133f742d99"
+      "sha256": "219c09f1948a2cde198aa7aa15a392d5d338abaa24dfbcceb075b0934ad4a11c"
     }
-  ],
-  "proof_ids": [
-    "numina:66d1789e-a769-545a-bf6b-9074e9cf56b5",
-    "numina:68e74a3f-8837-55db-b2be-274368cf9760",
-    "numina:6e65626a-1606-5247-b7ba-7f896c969107",
-    "numina:e465e991-5d44-5382-867f-80936e91101d",
-    "numina:fd4d972b-78ac-52e4-b560-8a7326eabab7"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009200.lean\",\"5204260379e0759a7989e355836e1cda0b589faad880ca9ac1ec8ef868224c9e\",0,\"algebra_317602\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009201.lean\",\"3fea5c8a9af3841e4240d21ef249821cf5836d08e52b5e675050066b7ef3defd\",0,\"number_theory_24742\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009202.lean\",\"a475b6bf47f31bf0caff6aa0dfc9bcf7b21ea657375ef09f4ace0bae53d3cae1\",0,\"number_theory_180117\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009203.lean\",\"aaabcfdc8507c0dd7b74f62d7e06110c654973685ba1196f3d0d7f3118c46c4f\",0,\"number_theory_23051\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009204.lean\",\"b0f4fdc29c28c2a4e273cc29b614e86a562412f61f5be66ec4db5c494dda32eb\",0,\"algebra_9103\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001841.json b/manifests/batches/numina/001841.json
index 006c50f2c47340c839d39e82a292f1977bfb3b6f..1d0b2eef7f51784b6c4bc4d0377508fcfdff54b3 100644
--- a/manifests/batches/numina/001841.json
+++ b/manifests/batches/numina/001841.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001841",
   "batch_fingerprint": "87c0da431e63bf9906026abed0d74e3916c1c48ad00d2a21f3318dd583d3e569",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001841-0000-5cdfb05b5964248e.parquet",
-      "sha256": "5cdfb05b5964248eb7ec7443368613387d92d28fb432af5196a40f44d0865a9a",
-      "bytes": 390657,
-      "rows": 36,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    },
-    {
-      "path": "data/internal_test/numina-001841-0000-fcf1fa5c8853bea0.parquet",
-      "sha256": "fcf1fa5c8853bea0eeed283d3e97e0e92531ccc1d5f73fcba0bade13d29a7143",
-      "bytes": 55145,
-      "rows": 9,
-      "revision": "77a47158e7f65c5e2a19778922096183e56d79e9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:71f7f529-84e7-5b4d-bc5a-f9a9e522549e",
     "numina:93216ac7-f994-58d1-82c3-9f5ce3ff029e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009207.lean\",\"95a897adf16be335a63e24486a0d205b2bb106cf3a6ff5a80e0c28a0b7a0aa50\",0,\"Inequalities_98998\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009208.lean\",\"48bfdb4a590fc5a0ecc31210471afc9c03fefc9ec5360f3afbdcc5cebd511e54\",0,\"algebra_113478\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009209.lean\",\"fc873589e79f6b93a841754495a5a1da5be8538af5cb1689e7bb1e26234e9f5f\",0,\"inequalities_255683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390657,
+      "path": "data/train/p46/numina-001841-0000-5cdfb05b5964248e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "5cdfb05b5964248eb7ec7443368613387d92d28fb432af5196a40f44d0865a9a"
+    },
+    {
+      "bytes": 55145,
+      "path": "data/internal_test/p46/numina-001841-0000-fcf1fa5c8853bea0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fcf1fa5c8853bea0eeed283d3e97e0e92531ccc1d5f73fcba0bade13d29a7143"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001842.json b/manifests/batches/numina/001842.json
index a304fef6641edcfd1b9f0cf7d2ba5ad8a6ab978e..fcd298a4f671f20509948e0992cfb4053bf54809 100644
--- a/manifests/batches/numina/001842.json
+++ b/manifests/batches/numina/001842.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001842",
   "batch_fingerprint": "ffc8b80a5372cb3716809fdcfd2f6c88f77fb53797559476e758cd6baa1ce492",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001842-0000-cfd6a6e0fb796676.parquet",
-      "sha256": "cfd6a6e0fb796676acd855552a36485fbf28331c2c1433e465e82625911b25c5",
-      "bytes": 238676,
-      "rows": 30,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/numina-001842-0000-7b4417169a6f6927.parquet",
-      "sha256": "7b4417169a6f69279d8c1bf86a547ea7c9d533ff0d7543a962bc979f5381600a",
-      "bytes": 192445,
-      "rows": 6,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0fc81044-f7a7-517d-9bb2-ebaae9db4958",
     "numina:4e21429f-5310-51d6-93c7-5f9eda021caf",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009212.lean\",\"655ed4aa3ac554b02c97a1b7904ee6d0aa657e9b72e9bdd356a222cb94177f2c\",0,\"number_theory_227925\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009213.lean\",\"f7c896de3df272a83094be6341e85f756b27e61a82e78daae4ebe767d91b0bde\",0,\"algebra_607973\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009214.lean\",\"7ef1cc6bad47f1909f91850366efc4838b56c3770d2f2fb3918f2017a36a0bf4\",0,\"algebra_318299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238676,
+      "path": "data/train/p30/numina-001842-0000-cfd6a6e0fb796676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "cfd6a6e0fb796676acd855552a36485fbf28331c2c1433e465e82625911b25c5"
+    },
+    {
+      "bytes": 192445,
+      "path": "data/internal_test/p30/numina-001842-0000-7b4417169a6f6927.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7b4417169a6f69279d8c1bf86a547ea7c9d533ff0d7543a962bc979f5381600a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001843.json b/manifests/batches/numina/001843.json
index 2ea073d7dc3a46481fa09c590dee24f16aa5e173..6b45a8fdda1be7b3eab5ed5953589704e901ac0e 100644
--- a/manifests/batches/numina/001843.json
+++ b/manifests/batches/numina/001843.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001843",
   "batch_fingerprint": "204891b792f69e19235c6b283900c37568783d2b089796d2a987ea594294c3d4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001843-0000-02fbd02e7aa76c1e.parquet",
-      "sha256": "02fbd02e7aa76c1e5da92386fc1d71c10247175b8d353aab326f1ee3db2ab6cc",
-      "bytes": 301093,
-      "rows": 32,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/numina-001843-0000-543adaf977a73c97.parquet",
-      "sha256": "543adaf977a73c978d9342e972411bd754cf6f5bab48bf1602302f733efab76f",
-      "bytes": 513013,
-      "rows": 42,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:6d3a4bd1-5189-594a-aa05-4b6b8e2fe621",
     "numina:8738a831-47cb-5a59-a30f-cc0988eedcdf",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009217.lean\",\"9ee7b16ef179e8cfb3e49499682b7c3797e8e8ab14e7a0c5f705550b0b4c1f68\",0,\"calculus_15998\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009218.lean\",\"3f8038216d1f28f68c6efb3eb674b372a884995fdc747dfeb22ba9009825e6a2\",1,\"number_theory_318004_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009219.lean\",\"929a7040a64c19f9c12c5478c5fd9f2981f75b6e78a773b290d6fb33b2b7a462\",0,\"calculus_23060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301093,
+      "path": "data/train/p11/numina-001843-0000-02fbd02e7aa76c1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "02fbd02e7aa76c1e5da92386fc1d71c10247175b8d353aab326f1ee3db2ab6cc"
+    },
+    {
+      "bytes": 513013,
+      "path": "data/dev/p11/numina-001843-0000-543adaf977a73c97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "543adaf977a73c978d9342e972411bd754cf6f5bab48bf1602302f733efab76f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001844.json b/manifests/batches/numina/001844.json
index 3530ef65d79baa38259aca85b1de648f272a8ea3..d25e4dd7430541e0cc2daa4145dec0f206519bd9 100644
--- a/manifests/batches/numina/001844.json
+++ b/manifests/batches/numina/001844.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001844",
   "batch_fingerprint": "85366ceb2b13837983e14cd33b39a3fd5427a9c179fa1827fa45515c747bc972",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001844-0000-47ea3d490c235dc0.parquet",
-      "sha256": "47ea3d490c235dc086d71bbc3a532cccbd3f67f5ee95fbd41b16f065a64b3ba2",
-      "bytes": 498802,
-      "rows": 13,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/train/numina-001844-0001-64da9489b1adda14.parquet",
-      "sha256": "64da9489b1adda146e72edb1f7d7b3949cd94b03bfd6e2cbdb489944082e821c",
-      "bytes": 238567,
-      "rows": 1,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/numina-001844-0000-8f4937397314f350.parquet",
-      "sha256": "8f4937397314f3509078237865654ee0906bc528c6d1d2760cec4f9a8517107c",
-      "bytes": 137222,
-      "rows": 13,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2448fe94-9ffc-5ddb-9629-7f489d0d4fa6",
     "numina:71e02008-deae-5ce9-b3ec-3291fad9141d",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009222.lean\",\"02056e0e03ccfe1b98a1e99ad2294e7e1332b5f91482fea6bab5f054d8b17b35\",0,\"inequalities_99114\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009223.lean\",\"290f55036b12d0634fa9042a30fc0c21405548d14cf69a3f71f1f8273473cc32\",0,\"algebra_599852\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009224.lean\",\"40d1e3dd70dac5f6186c4289f69186ae786182ffd0cfe48940f82dc93fd6e26b\",0,\"algebra_168816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 498802,
+      "path": "data/train/pab/numina-001844-0000-47ea3d490c235dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "47ea3d490c235dc086d71bbc3a532cccbd3f67f5ee95fbd41b16f065a64b3ba2"
+    },
+    {
+      "bytes": 238567,
+      "path": "data/train/pab/numina-001844-0001-64da9489b1adda14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "64da9489b1adda146e72edb1f7d7b3949cd94b03bfd6e2cbdb489944082e821c"
+    },
+    {
+      "bytes": 137222,
+      "path": "data/internal_test/pab/numina-001844-0000-8f4937397314f350.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8f4937397314f3509078237865654ee0906bc528c6d1d2760cec4f9a8517107c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001845.json b/manifests/batches/numina/001845.json
index 61231ad6420687a045fcd9fe46c6390f3535ff16..849e3e7884b23c09fd115d4d1dde5ade7600bb5e 100644
--- a/manifests/batches/numina/001845.json
+++ b/manifests/batches/numina/001845.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001845",
   "batch_fingerprint": "92f453828d3e08edc20b2633434f37be21397db410dc34a5871b78cb42fd97e3",
   "evidence": {
@@ -38,39 +37,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:669795ae-b860-5b3e-8b45-6a4c2d0f9bd3",
+    "numina:84f2f9d6-c43b-597a-8b74-982463a41474",
+    "numina:cf970208-ce25-5677-83db-59457320fb09",
+    "numina:f71e9ea7-b48a-5e7b-9540-10436742521d"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009225.lean\",\"6c4b8d6b614fed75c306f342b2975ea30c648518fc281bd5177c9ff02a881405\",0,\"algebra_608668\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009226.lean\",\"e9ff3d80564b0f5d26c5e28a4647491e76ed514d271165deff2e776ddb5b012b\",0,\"algebra_318021\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009227.lean\",\"cdc277f3b5fa7f9a5104d11db7e5ec5fe67acffa1f378b5f4e6cae93add58b47\",0,\"number_theory_606413\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009228.lean\",\"cecd4a8d55e6897ea5b3f55f9ca4468ed892cf1184dcb51c87224b42ac36c243\",0,\"number_theory_15009\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001845-0000-d8ca9734fda56186.parquet",
-      "sha256": "d8ca9734fda5618643d96a79aad903acf1bfd85b9e68e3a4474be6892c21a255",
       "bytes": 635783,
+      "path": "data/train/p25/numina-001845-0000-d8ca9734fda56186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 35,
-      "revision": "b3d6862ca27d06e7e336f5d7764a082c834ec963"
+      "sha256": "d8ca9734fda5618643d96a79aad903acf1bfd85b9e68e3a4474be6892c21a255"
     },
     {
-      "path": "data/train/numina-001845-0001-e74eaf8821dfc128.parquet",
-      "sha256": "e74eaf8821dfc128111f21894e69265099e0ff579254b86b374c37cb7ef23985",
       "bytes": 105509,
+      "path": "data/train/p25/numina-001845-0001-e74eaf8821dfc128.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "b3d6862ca27d06e7e336f5d7764a082c834ec963"
+      "sha256": "e74eaf8821dfc128111f21894e69265099e0ff579254b86b374c37cb7ef23985"
     },
     {
-      "path": "data/internal_test/numina-001845-0000-a7a58ff9ec047d56.parquet",
-      "sha256": "a7a58ff9ec047d56e49586aaa6ffb78c3f14aaf9f23e7b306194ba34499344c4",
       "bytes": 73897,
+      "path": "data/internal_test/p25/numina-001845-0000-a7a58ff9ec047d56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b3d6862ca27d06e7e336f5d7764a082c834ec963"
+      "sha256": "a7a58ff9ec047d56e49586aaa6ffb78c3f14aaf9f23e7b306194ba34499344c4"
     }
-  ],
-  "proof_ids": [
-    "numina:669795ae-b860-5b3e-8b45-6a4c2d0f9bd3",
-    "numina:84f2f9d6-c43b-597a-8b74-982463a41474",
-    "numina:cf970208-ce25-5677-83db-59457320fb09",
-    "numina:f71e9ea7-b48a-5e7b-9540-10436742521d"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009225.lean\",\"6c4b8d6b614fed75c306f342b2975ea30c648518fc281bd5177c9ff02a881405\",0,\"algebra_608668\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009226.lean\",\"e9ff3d80564b0f5d26c5e28a4647491e76ed514d271165deff2e776ddb5b012b\",0,\"algebra_318021\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009227.lean\",\"cdc277f3b5fa7f9a5104d11db7e5ec5fe67acffa1f378b5f4e6cae93add58b47\",0,\"number_theory_606413\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009228.lean\",\"cecd4a8d55e6897ea5b3f55f9ca4468ed892cf1184dcb51c87224b42ac36c243\",0,\"number_theory_15009\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001846.json b/manifests/batches/numina/001846.json
index 51a8861fd95707bb4432271ba6dbf2ddb23ab5f4..46aee8bc48ac1e79689b4a0d3817e0a9b7f3df94 100644
--- a/manifests/batches/numina/001846.json
+++ b/manifests/batches/numina/001846.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001846",
   "batch_fingerprint": "0ce775ec16f3c54ecebc8172e075b7c658db14af62a7a9a2687a27b0624e3411",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001846-0000-90ed0537605678b5.parquet",
-      "sha256": "90ed0537605678b55aaaf11175f52cecbad65f27367c168071f0713922df21d6",
-      "bytes": 542263,
-      "rows": 69,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/numina-001846-0000-a474d8b211889267.parquet",
-      "sha256": "a474d8b211889267d6bb952d2ea9d75991967e7a3b19bdff84db1ebf2edf1b83",
-      "bytes": 40203,
-      "rows": 6,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1eac5349-0eb3-512c-a4d5-d281a14f97d7",
     "numina:59bc4ef9-f503-5b55-9110-da9b73932a36",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009232.lean\",\"bd12064fa1192136b94e202819181d903fdeaaa04d91c56afe2d3211d557e78b\",0,\"number_theory_151320\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009233.lean\",\"dd198f98b5fdf7329dd57c61d9dc919828c9bb92e6e215401f484a3def5df623\",0,\"calculus_157153\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009234.lean\",\"0c4d3e05f5c2c648ab9a0b6ed703753c086be9cedcde8fccbe512d56faae7aa0\",0,\"algebra_608304\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 542263,
+      "path": "data/train/p60/numina-001846-0000-90ed0537605678b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 69,
+      "sha256": "90ed0537605678b55aaaf11175f52cecbad65f27367c168071f0713922df21d6"
+    },
+    {
+      "bytes": 40203,
+      "path": "data/dev/p60/numina-001846-0000-a474d8b211889267.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a474d8b211889267d6bb952d2ea9d75991967e7a3b19bdff84db1ebf2edf1b83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001847.json b/manifests/batches/numina/001847.json
index 00e304c4f4a084d1422a536af7ad148db2034a0d..3673bb0529a8fac1c19d87d69851956ab10bf3aa 100644
--- a/manifests/batches/numina/001847.json
+++ b/manifests/batches/numina/001847.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001847",
   "batch_fingerprint": "1980788a4ede2e2dd2081b5e3b4dcfaf2ecb75bae2589fc52e7a39ea23dd33ce",
   "evidence": {
@@ -48,15 +47,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001847-0000-ab0905bcc248d3e1.parquet",
-      "sha256": "ab0905bcc248d3e1ce0e693279466dcb3468a70ac9f5b1758e3e05ba52b7250f",
-      "bytes": 264796,
-      "rows": 42,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:4f35c0f5-e4a7-53c3-9820-bcca2726cc37",
     "numina:6d779213-7ee0-59ea-befe-a47b15485174",
@@ -68,5 +59,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009236.lean\",\"65e57ab49879a0dc01bc8e25b0ed5425b06e97eec4bb694d0d52d24125b86332\",0,\"calculus_14745\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009237.lean\",\"f527c95608f9b6f44471ada5b1ab380106b3993d795c657fe3a160c38901e962\",0,\"algebra_284580\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009238.lean\",\"3d6fca705351d457778cbd7e3a88a61104a1909057b4d574a7a7010fe333fbb8\",0,\"number_theory_99259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264796,
+      "path": "data/train/p50/numina-001847-0000-ab0905bcc248d3e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "ab0905bcc248d3e1ce0e693279466dcb3468a70ac9f5b1758e3e05ba52b7250f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001848.json b/manifests/batches/numina/001848.json
index 278e49b204d0ff2f33d24aa4017a71cdff2f901c..e45b49bd846c5005a7b03d7a313bd180a6fed98e 100644
--- a/manifests/batches/numina/001848.json
+++ b/manifests/batches/numina/001848.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001848",
   "batch_fingerprint": "bc48693746b867840b1d62524d5eb7ced375187ef7643aebe992ce8d0506d167",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001848-0000-f849d2ea73c80eaf.parquet",
-      "sha256": "f849d2ea73c80eafbb1e9a8834410bac656d4bbaaea02f108fdca156bdf0a20e",
-      "bytes": 214421,
-      "rows": 32,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/train/numina-001848-0001-6a5fefce6261ee11.parquet",
-      "sha256": "6a5fefce6261ee11591836cdce563784c6ce18bb671464a1111af06d8056fb30",
-      "bytes": 1682340,
-      "rows": 1,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/numina-001848-0000-2a59fc9fff181499.parquet",
-      "sha256": "2a59fc9fff181499453a98cedb2dc6a17dd2072bee42f42cba38ccfdd1b577db",
-      "bytes": 436960,
-      "rows": 25,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:49cbc1ea-6282-5242-9701-7062c72c2b3d",
     "numina:665c7b43-c507-58c1-9485-267b6b8d7cf0",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009242.lean\",\"76eea54b60a198a82e3fe570256cd8aad2a16f8c5c9a67325477a81074471dc9\",0,\"Algebra_608307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009243.lean\",\"93be03dacd056eccfc04fc6ff59af7fe1faf86c770e88a9c3e4eba0838877995\",0,\"algebra_324654\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009244.lean\",\"6ec75b60a82e3be19102be0fae8602b0588cb42c0a943635f6ee74c32169f204\",0,\"inequalities_600067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214421,
+      "path": "data/train/p34/numina-001848-0000-f849d2ea73c80eaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "f849d2ea73c80eafbb1e9a8834410bac656d4bbaaea02f108fdca156bdf0a20e"
+    },
+    {
+      "bytes": 1682340,
+      "path": "data/train/p34/numina-001848-0001-6a5fefce6261ee11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "6a5fefce6261ee11591836cdce563784c6ce18bb671464a1111af06d8056fb30"
+    },
+    {
+      "bytes": 436960,
+      "path": "data/internal_test/p34/numina-001848-0000-2a59fc9fff181499.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "2a59fc9fff181499453a98cedb2dc6a17dd2072bee42f42cba38ccfdd1b577db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001849.json b/manifests/batches/numina/001849.json
index cf0b5858d163bb24bbe8ec2feb11fd8db9ddffec..b434ffcee96c6a0f1bdcfd5a882f66a27aad86ac 100644
--- a/manifests/batches/numina/001849.json
+++ b/manifests/batches/numina/001849.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001849",
   "batch_fingerprint": "86cc5b1172a41dda82c4183a9d1f2df995e673aabd50b8e760726180f896ff99",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001849-0000-5a062ea4169602e8.parquet",
-      "sha256": "5a062ea4169602e8535fb8132133e92f4d7ef9fe97d293a7bb0d3439b1f3cee3",
-      "bytes": 357222,
-      "rows": 17,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/dev/numina-001849-0000-e32c27b478a6a965.parquet",
-      "sha256": "e32c27b478a6a9650ee35625ab9d810a101a08ddd0f52967d08d48c42c67650c",
-      "bytes": 69513,
-      "rows": 14,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1771fa82-e732-586c-a015-cbbda6d65e73",
     "numina:2f8f4d5e-66e8-5ff4-8d62-ee5bcf8c2ccc",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009246.lean\",\"d52e3bd52d4a4ae915285da25f33332d073a4df6bc38817815e475529692f17c\",0,\"algebra_20928\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009247.lean\",\"56ea358b8e458a4e02514b6d9e6e0813009452e61245bdf22c96e7f537cc2297\",0,\"algebra_93836\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009249.lean\",\"8d7268c752a5473d3aeabe100586f864ad2862c337f29a67d4851b8ba5ffc40c\",0,\"algebra_157199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357222,
+      "path": "data/train/p4e/numina-001849-0000-5a062ea4169602e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5a062ea4169602e8535fb8132133e92f4d7ef9fe97d293a7bb0d3439b1f3cee3"
+    },
+    {
+      "bytes": 69513,
+      "path": "data/dev/p4e/numina-001849-0000-e32c27b478a6a965.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e32c27b478a6a9650ee35625ab9d810a101a08ddd0f52967d08d48c42c67650c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001850.json b/manifests/batches/numina/001850.json
index e609d0ff09d047cf15fd5eed4392aadc33a0548f..8a4eb87c065f4d213423e8b869d756b939940100 100644
--- a/manifests/batches/numina/001850.json
+++ b/manifests/batches/numina/001850.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001850",
   "batch_fingerprint": "8deea53f5a940b5c606dd1aaa3691f05f26e0fe75fd4b63b808d0b6c91370be1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001850-0000-7eba56bb8d6371c6.parquet",
-      "sha256": "7eba56bb8d6371c6a1ccb9e6cfacd8546c97abc8098135e38d2521e2fc317399",
-      "bytes": 669169,
-      "rows": 66,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    },
-    {
-      "path": "data/internal_test/numina-001850-0000-3c0763fe367651ab.parquet",
-      "sha256": "3c0763fe367651ab24f6dd354f81fd2184e2c546477382f56227a1a9f3c26b25",
-      "bytes": 75021,
-      "rows": 6,
-      "revision": "d1c057e573628b52bd73ef4ee2bc4fb901a1a7a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:37cb176c-8ed7-5639-a193-420c9dcef4cb",
     "numina:727a307a-d8ac-5c8b-b3fb-fe49e915119c",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009252.lean\",\"0759fc7af6a4136081e7a089489da5b5f792f0bea02535466406eb7af967ae7b\",0,\"algebra_14773\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009253.lean\",\"923327da770060c81ce5027ac8c2009c2cc6e5c9724510c8ff54a95dff568901\",0,\"algebra_24727\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009254.lean\",\"aa00e591c1b76626fe3c81b9fbc8beeb1b376a6593bd5e431c6652b31984ccfd\",0,\"algebra_93841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 669169,
+      "path": "data/train/pbf/numina-001850-0000-7eba56bb8d6371c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 66,
+      "sha256": "7eba56bb8d6371c6a1ccb9e6cfacd8546c97abc8098135e38d2521e2fc317399"
+    },
+    {
+      "bytes": 75021,
+      "path": "data/internal_test/pbf/numina-001850-0000-3c0763fe367651ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3c0763fe367651ab24f6dd354f81fd2184e2c546477382f56227a1a9f3c26b25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001851.json b/manifests/batches/numina/001851.json
index 347ff135b2ae4e0e98f5c1a39b09725090d5a216..695d6f2ce79f1b2b8279e450a87a97f5ce0ae3b2 100644
--- a/manifests/batches/numina/001851.json
+++ b/manifests/batches/numina/001851.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001851",
   "batch_fingerprint": "e172788a537cdf1ba747f9ce5bec6b50f26a24459faf1f83c013e26002cede60",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001851-0000-e07e7c48b0aa79c8.parquet",
-      "sha256": "e07e7c48b0aa79c8e2141f50b4eb8b2a6768a2ca6a3b82879f4a91b2db21ac5e",
-      "bytes": 194090,
-      "rows": 28,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:10db0ca7-0500-5b38-8e0c-5cc5a5cfb987",
     "numina:1f306cf6-4c53-5579-95b3-46811efb4dc5",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009257.lean\",\"7e13220b05f82e5ecb78e5dac239e86b5c5454ead50f3b4222505d7736cf626b\",0,\"algebra_610157\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009258.lean\",\"29ef77f6473409169a7220b0bf0f76eca4553a7a2d9ecd593e4b29a792534a4e\",0,\"number_theory_324870\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009259.lean\",\"35e6c32a143f4eda140825e375abf35fb865f613471ffb50f49512b090c8eb38\",0,\"algebra_608380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194090,
+      "path": "data/train/pdf/numina-001851-0000-e07e7c48b0aa79c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "e07e7c48b0aa79c8e2141f50b4eb8b2a6768a2ca6a3b82879f4a91b2db21ac5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001852.json b/manifests/batches/numina/001852.json
index d45522fba1c17c7c4ca8bfb32107a00938e56fce..abba682822ee1fc5e8f878caf3500ec24ee878c4 100644
--- a/manifests/batches/numina/001852.json
+++ b/manifests/batches/numina/001852.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001852",
   "batch_fingerprint": "ffce77c9eacad4becf7743fec8e2c69e1d4b00991c25951353278a3be7ac9b1f",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001852-0000-c493f4ed94401747.parquet",
-      "sha256": "c493f4ed944017477d533b8ba3364a2ccfccd652526d04bd400b30c1b099b542",
-      "bytes": 166302,
-      "rows": 27,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    },
-    {
-      "path": "data/internal_test/numina-001852-0000-a20a018282230c2e.parquet",
-      "sha256": "a20a018282230c2e7eab2614a862edcaa6e8fa51b0478df8e72d06e94bc61c2c",
-      "bytes": 107193,
-      "rows": 3,
-      "revision": "75330a8dd7d5f9a8308dfb8a432909053e54c6fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:087209d4-a8a7-5d21-8d98-9ad31f45acaf",
     "numina:0bb92250-d82b-5331-958a-6bc0accea72e",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009262.lean\",\"2c46daa5a8e78bc2a9407863b9e4669e8684b3ba94931e74481090999d1d3b12\",0,\"inequalities_605934\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009263.lean\",\"74fe10dca483e687e68e581728cbff20d34ff49779883a7b38ed3efdbcba8e28\",0,\"algebra_179394\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009264.lean\",\"62e4e1312b97962c89ebf5432eff1498f9e7066b107f718c5517f2fe393ce72a\",0,\"algebra_123753\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166302,
+      "path": "data/train/p87/numina-001852-0000-c493f4ed94401747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "c493f4ed944017477d533b8ba3364a2ccfccd652526d04bd400b30c1b099b542"
+    },
+    {
+      "bytes": 107193,
+      "path": "data/internal_test/p87/numina-001852-0000-a20a018282230c2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a20a018282230c2e7eab2614a862edcaa6e8fa51b0478df8e72d06e94bc61c2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001853.json b/manifests/batches/numina/001853.json
index e81b913dd331f147cb612afe44eb8aac332ab19c..553d5d45d78fc6de8ca84cd4f03970ab05736576 100644
--- a/manifests/batches/numina/001853.json
+++ b/manifests/batches/numina/001853.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001853",
   "batch_fingerprint": "e0e9ac1680eb019712a906e99a0319115a82ad963e0e96a2e65ad45c6b416e3a",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001853-0000-85d64f5f2ab6fcca.parquet",
-      "sha256": "85d64f5f2ab6fccad10f7f6c4b02cbc1653d05c020a1772e72ba47989ef6c792",
-      "bytes": 534239,
-      "rows": 18,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/train/numina-001853-0001-0b37b9b5d7322939.parquet",
-      "sha256": "0b37b9b5d7322939496ca2084791cd40cdd9ee7703bf693b17639d87e1931610",
-      "bytes": 398884,
-      "rows": 5,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/numina-001853-0000-b89708cbafa72c7f.parquet",
-      "sha256": "b89708cbafa72c7fe3c29b258fda547e7f33db8af721d3b9928a2c135a269bd8",
-      "bytes": 155074,
-      "rows": 12,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:1fd113f9-4158-53a9-92d6-7a5c0ac5c6bf",
     "numina:7cf427be-5cc9-5150-b480-f2b51cfc6a83",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009267.lean\",\"d39483362d6f0621c684776d47f35c71e26dfb19799bcafcb883364fe94a4d60\",0,\"algebra_324938\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009268.lean\",\"4be05556fa976b661f35bab112d489ac7678678e171b1bccac7116513c59eb24\",0,\"inequalities_43775\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009269.lean\",\"b67426d03e6e7f0b638f7fe3c6e62f054a2e377cdcd59ded4a430776149abc20\",0,\"calculus_73367\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 534239,
+      "path": "data/train/p21/numina-001853-0000-85d64f5f2ab6fcca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "85d64f5f2ab6fccad10f7f6c4b02cbc1653d05c020a1772e72ba47989ef6c792"
+    },
+    {
+      "bytes": 398884,
+      "path": "data/train/p21/numina-001853-0001-0b37b9b5d7322939.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0b37b9b5d7322939496ca2084791cd40cdd9ee7703bf693b17639d87e1931610"
+    },
+    {
+      "bytes": 155074,
+      "path": "data/dev/p21/numina-001853-0000-b89708cbafa72c7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b89708cbafa72c7fe3c29b258fda547e7f33db8af721d3b9928a2c135a269bd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001854.json b/manifests/batches/numina/001854.json
index 351e764d8000f6509d1af0fd75ffa9215f996aeb..8a1e19efbeb3e06e6409cf4ffa18641cc23d8c8c 100644
--- a/manifests/batches/numina/001854.json
+++ b/manifests/batches/numina/001854.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001854",
   "batch_fingerprint": "611307d731720544a90f7552622e424e45684cb98acec5b50ed43d146e5ba8cd",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001854-0000-53362454c2d61a15.parquet",
-      "sha256": "53362454c2d61a15666dbd24eeb555d486900e2cf85df3f82677db3ce9fb7dc7",
-      "bytes": 554270,
-      "rows": 101,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/train/numina-001854-0001-f05c9484830d167a.parquet",
-      "sha256": "f05c9484830d167a1521794e32c164a46cc5e1e29b148b11dcc2aee32d9fc3ad",
-      "bytes": 178769,
-      "rows": 42,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:57d1642d-fef8-515e-bf6d-3e3d2890793c",
     "numina:9f7e3572-9c4d-550a-b688-222cf89e274d",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009272.lean\",\"2175225993b500ddbf67d80748df8a743aa527f289d9b870e1f42180c90a476e\",0,\"number_theory_18579\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009273.lean\",\"77fbfa501c964f64db71dd4c06639c6271492af511251ee1811e28428d38d33a\",0,\"inequalities_607122\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009274.lean\",\"6ebb33fbb1eb5d9d935bac19752b8f0ce82515e10ccfea8f17942015cb1d4649\",0,\"number_theory_94886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 554270,
+      "path": "data/train/p06/numina-001854-0000-53362454c2d61a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 101,
+      "sha256": "53362454c2d61a15666dbd24eeb555d486900e2cf85df3f82677db3ce9fb7dc7"
+    },
+    {
+      "bytes": 178769,
+      "path": "data/train/p06/numina-001854-0001-f05c9484830d167a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 42,
+      "sha256": "f05c9484830d167a1521794e32c164a46cc5e1e29b148b11dcc2aee32d9fc3ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001855.json b/manifests/batches/numina/001855.json
index 983bb4d9382ea560e0c2da244fb99f3a3683763d..8ed53467fb27ba3b70388f1ef77a4def2e53473e 100644
--- a/manifests/batches/numina/001855.json
+++ b/manifests/batches/numina/001855.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001855",
   "batch_fingerprint": "d6a54c95564da0d528dd24d9b75d8eafc07834c0e0bbb6f4194f0bd71b5739dd",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:17f687cb-e7dd-57c9-9e86-324e266427d8",
+    "numina:3784d8be-0a14-5476-adf5-95191294aee1",
+    "numina:862d712d-5fdf-555c-b3a5-7fc36e191add",
+    "numina:ec7d4dc8-d4ac-56b3-92e9-fb601054a931",
+    "numina:f1f5de69-3c48-5c28-ae22-b468f664713f"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009275.lean\",\"fbd5795ad451bccfbfbed9b1bd68d1c6ee7558efa266e042b381ca5e1b28e652\",0,\"algebra_9043\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009276.lean\",\"f5cd17ef0825af7a98d21ee226106c41688e1340ad862578003fb7a9cb7192e8\",0,\"inequalities_179418\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009277.lean\",\"1ac4b151740e2ff53d2f6dc0c5826ef4e7ab54e188b1a324d31a830fae8fa36c\",0,\"number_theory_610846\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009278.lean\",\"3fd3b254d185381baf512fd7fba6f03ba08f6945a50d0c9082711459c131ad6b\",0,\"algebra_208583\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009279.lean\",\"f801baea24166e299a926cc04c7887d00d456b6d3e76b0cf0127a7fa4d4eec00\",0,\"number_theory_158450\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001855-0000-fbab21a36e8ac8ce.parquet",
-      "sha256": "fbab21a36e8ac8ce4eff5f3cb2dc93bef1473237517b387e9a30a99ecc9b1741",
       "bytes": 810467,
+      "path": "data/train/p27/numina-001855-0000-fbab21a36e8ac8ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "fbab21a36e8ac8ce4eff5f3cb2dc93bef1473237517b387e9a30a99ecc9b1741"
     },
     {
-      "path": "data/train/numina-001855-0001-ea405746f9beca11.parquet",
-      "sha256": "ea405746f9beca11726d6232f003cdad943766e3cea28cd81edbb3db6ec08035",
       "bytes": 143744,
+      "path": "data/train/p27/numina-001855-0001-ea405746f9beca11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "ea405746f9beca11726d6232f003cdad943766e3cea28cd81edbb3db6ec08035"
     },
     {
-      "path": "data/dev/numina-001855-0000-e08e36849f6f9e08.parquet",
-      "sha256": "e08e36849f6f9e081a5e1a9fafe6d2ded924589b97baa3264c69f21e1bdc98b7",
       "bytes": 97421,
+      "path": "data/dev/p27/numina-001855-0000-e08e36849f6f9e08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "e08e36849f6f9e081a5e1a9fafe6d2ded924589b97baa3264c69f21e1bdc98b7"
     },
     {
-      "path": "data/internal_test/numina-001855-0000-f0538ee4f4d8e38f.parquet",
-      "sha256": "f0538ee4f4d8e38f83cafe9aa7b1a7f1a858a8116869bd0d67b0076283c2dc2f",
       "bytes": 180721,
+      "path": "data/internal_test/p27/numina-001855-0000-f0538ee4f4d8e38f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
+      "sha256": "f0538ee4f4d8e38f83cafe9aa7b1a7f1a858a8116869bd0d67b0076283c2dc2f"
     }
-  ],
-  "proof_ids": [
-    "numina:17f687cb-e7dd-57c9-9e86-324e266427d8",
-    "numina:3784d8be-0a14-5476-adf5-95191294aee1",
-    "numina:862d712d-5fdf-555c-b3a5-7fc36e191add",
-    "numina:ec7d4dc8-d4ac-56b3-92e9-fb601054a931",
-    "numina:f1f5de69-3c48-5c28-ae22-b468f664713f"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009275.lean\",\"fbd5795ad451bccfbfbed9b1bd68d1c6ee7558efa266e042b381ca5e1b28e652\",0,\"algebra_9043\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009276.lean\",\"f5cd17ef0825af7a98d21ee226106c41688e1340ad862578003fb7a9cb7192e8\",0,\"inequalities_179418\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009277.lean\",\"1ac4b151740e2ff53d2f6dc0c5826ef4e7ab54e188b1a324d31a830fae8fa36c\",0,\"number_theory_610846\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009278.lean\",\"3fd3b254d185381baf512fd7fba6f03ba08f6945a50d0c9082711459c131ad6b\",0,\"algebra_208583\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009279.lean\",\"f801baea24166e299a926cc04c7887d00d456b6d3e76b0cf0127a7fa4d4eec00\",0,\"number_theory_158450\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001856.json b/manifests/batches/numina/001856.json
index 2006d17429806c3a3020ecce9984263ef2a21813..3e32a0d2b55bc55e57fba5aba083aa85ebfa2e7b 100644
--- a/manifests/batches/numina/001856.json
+++ b/manifests/batches/numina/001856.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001856",
   "batch_fingerprint": "c82a4d927114a4e0c0a5047d0e022f85a255820211f1bb9f6fe1d999c31b73bd",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001856-0000-8112f546663019ce.parquet",
-      "sha256": "8112f546663019ce6e4814e1d3af0f75eb40ed6da381a5a2ad5b02942767aeeb",
-      "bytes": 244251,
-      "rows": 14,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:23c6ecb4-4f89-51be-900c-0309b0f68599",
     "numina:5702a23c-41b6-50e1-b8d6-b8f94d7479b8",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009282.lean\",\"22b29cbf0a35976f3bd2e4df6222d319d354eed9188836477901f237ae9bf995\",0,\"inequalities_79577\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009283.lean\",\"38a71cdfcc72aaa8ac910f4e1154cce80a22b88953c1948c4b32d5507c80a1be\",0,\"algebra_15204\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009284.lean\",\"efdd56b1a6c894948ba07bccd7b3b52483acba754c0feb33131339071ee01bb3\",0,\"algebra_607143\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244251,
+      "path": "data/train/p46/numina-001856-0000-8112f546663019ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8112f546663019ce6e4814e1d3af0f75eb40ed6da381a5a2ad5b02942767aeeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001857.json b/manifests/batches/numina/001857.json
index 1e5164e052460c8189c909e7b595f2ef8f68a28c..80fe1a9a8366bc0c7ff85bf6b0d0b28c7c04ad75 100644
--- a/manifests/batches/numina/001857.json
+++ b/manifests/batches/numina/001857.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001857",
   "batch_fingerprint": "9062c304c5159e280ed65cda49bbe4d46da0266013fabc5cc0ff50ffa4c5dd29",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001857-0000-809551bdf960e235.parquet",
-      "sha256": "809551bdf960e2355bed205dd0c43d6baf938bb3c128132aa61802822ecf4597",
-      "bytes": 433108,
-      "rows": 2,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/train/numina-001857-0001-86971becfb2f6be6.parquet",
-      "sha256": "86971becfb2f6be6bac29e81dcc1ef3b9455d05ece9bfc937411e84d2cc314e8",
-      "bytes": 667854,
-      "rows": 35,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    },
-    {
-      "path": "data/train/numina-001857-0002-d0ba58ca1aa4d64e.parquet",
-      "sha256": "d0ba58ca1aa4d64eb02b2aff39726d30db418ceb9af926403ad06379eb33632d",
-      "bytes": 108823,
-      "rows": 8,
-      "revision": "a85af8e661a53eae4810927243b31adb1e23d0ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:63780cf1-a4d3-55da-9f19-b7e066a4400c",
     "numina:7115cdfd-a432-5324-af85-27fc73c2633a",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009287.lean\",\"e735d2fe6762b528acdb3d960d88b2dfab7436957521507782d2bc2bf693b309\",0,\"algebra_226855\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009288.lean\",\"be4361f65bb1479c2f795966db8f6c3c3d5afad77450a780c9de766fb566fb55\",0,\"number_theory_275634\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009289.lean\",\"5dce76daf48e584bda282bb878cdae461f63ad4adea606e38bfbf2733cf56d9d\",0,\"algebra_9046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433108,
+      "path": "data/train/p40/numina-001857-0000-809551bdf960e235.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "809551bdf960e2355bed205dd0c43d6baf938bb3c128132aa61802822ecf4597"
+    },
+    {
+      "bytes": 667854,
+      "path": "data/train/p40/numina-001857-0001-86971becfb2f6be6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "86971becfb2f6be6bac29e81dcc1ef3b9455d05ece9bfc937411e84d2cc314e8"
+    },
+    {
+      "bytes": 108823,
+      "path": "data/train/p40/numina-001857-0002-d0ba58ca1aa4d64e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d0ba58ca1aa4d64eb02b2aff39726d30db418ceb9af926403ad06379eb33632d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001858.json b/manifests/batches/numina/001858.json
index 2d3c449571333258c108439bbfe055e801562e2e..2cc1c77d9398d222a9435be5d5d1edf9a144269d 100644
--- a/manifests/batches/numina/001858.json
+++ b/manifests/batches/numina/001858.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001858",
   "batch_fingerprint": "5eb81d144712b8804a8d951df6b2cfe6aa3668e8becc5f73c4866b617f5476ad",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001858-0000-1626ea98d26014af.parquet",
-      "sha256": "1626ea98d26014af90ada5fb1e0703fc42ff95181f05da25cce578ceb9dc67cc",
-      "bytes": 63857,
-      "rows": 6,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/numina-001858-0000-78c547dc4cfc84bb.parquet",
-      "sha256": "78c547dc4cfc84bbb7c3a0bc3a4f7bf3ca5ff1a49a78432bc38f86c387c07250",
-      "bytes": 85259,
-      "rows": 6,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:2c06ebcc-902c-5ef7-a746-dff2baedf651",
     "numina:60d537bd-a194-560f-86dc-fc6c07e23216",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009292.lean\",\"9ee9f41e86bcdb8b08b5ccbe69d1b00a6e85db3f77acb436820d5ed417542808\",0,\"inequalities_600871\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009293.lean\",\"a2ca28eeed97282b07a83c74e430f0479656ccbb370e497b2eb8e3783e1a0516\",0,\"inequalities_41999\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009294.lean\",\"e51f4ba12b8ff9b94a912568fb544d8cdc6f10242e72f53f352d45a90e51f4f5\",0,\"number_theory_93369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63857,
+      "path": "data/train/p55/numina-001858-0000-1626ea98d26014af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1626ea98d26014af90ada5fb1e0703fc42ff95181f05da25cce578ceb9dc67cc"
+    },
+    {
+      "bytes": 85259,
+      "path": "data/internal_test/p55/numina-001858-0000-78c547dc4cfc84bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "78c547dc4cfc84bbb7c3a0bc3a4f7bf3ca5ff1a49a78432bc38f86c387c07250"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001859.json b/manifests/batches/numina/001859.json
index 75465c22d34af5e7986c16a1200e3f1083e642a2..e43630b3ac769de59b10b0b9e7bf1c8d7374bfd1 100644
--- a/manifests/batches/numina/001859.json
+++ b/manifests/batches/numina/001859.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001859",
   "batch_fingerprint": "112da7058f9fdb71f2c225082692534a3a7f5e9058a79d9d2ab85247fc7f7c67",
   "evidence": {
@@ -38,15 +37,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001859-0000-3855035af7713ebf.parquet",
-      "sha256": "3855035af7713ebf23c3c6093d3c4d33d3ca82ce8b38e3996f8613bcfb91ff02",
-      "bytes": 209844,
-      "rows": 30,
-      "revision": "c8de9bc36e261075e33e377117ab1732bf5203f3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:090e1b97-2872-549b-a7c8-85b85ed04f39",
     "numina:0b56228b-698a-5479-9ddb-5bb72668f070",
@@ -58,5 +49,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009296.lean\",\"78fefca413ff552d49b796b1ac6ed6595c226c000a292ef85861ee7a1e45047a\",0,\"AIME_Algebra_94461\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009298.lean\",\"13292ac6c15942bdb692dc219fa0d82c488eda837846783c48bfa413e6463353\",0,\"algebra_9047\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009299.lean\",\"b4e0d647183c312fd3159d78e8c3352777e39853cd9b7eb6842aa5c5eed56c86\",0,\"inequalities_187774\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209844,
+      "path": "data/train/p03/numina-001859-0000-3855035af7713ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "3855035af7713ebf23c3c6093d3c4d33d3ca82ce8b38e3996f8613bcfb91ff02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001860.json b/manifests/batches/numina/001860.json
index 90844dca08ad871e388d6c2645bd6264f2751126..7b673808d2f18f49bc2b14b6d41cb79b798517f0 100644
--- a/manifests/batches/numina/001860.json
+++ b/manifests/batches/numina/001860.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001860",
   "batch_fingerprint": "d24240e6f8c00fbf9c1f0e072e306aa11445b45a929dd8099bac35c233995201",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001860-0000-26646c7deb51a485.parquet",
-      "sha256": "26646c7deb51a48576aa15172f8f272b7beec6371402f7ce3fecd7b05102cb91",
-      "bytes": 454141,
-      "rows": 27,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/numina-001860-0000-13b458d1321297d4.parquet",
-      "sha256": "13b458d1321297d400555553068487e614e9e18376523c5f4b477108ed1fa56a",
-      "bytes": 58225,
-      "rows": 9,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:00c3ecd5-5bd9-5220-a379-835548ee6890",
     "numina:2d63145c-f8cc-5f2a-aa43-fbf160628bd6",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009302.lean\",\"0b2e8c753298c28fdcd45469227ba401e569e5aa26dbce4f620d083f05071951\",0,\"number_theory_607292\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009303.lean\",\"6c449590dc8a052df6ea1ddd0e6b58b9cf9f3a0ccaa4ec145e0cc13e338609a9\",0,\"algebra_21211\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009304.lean\",\"f75273cd9852c79fe9276581723bc9c04834b2e2c192ce6d0dbccbd07e7e9698\",0,\"algebra_9048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 454141,
+      "path": "data/train/p2c/numina-001860-0000-26646c7deb51a485.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "26646c7deb51a48576aa15172f8f272b7beec6371402f7ce3fecd7b05102cb91"
+    },
+    {
+      "bytes": 58225,
+      "path": "data/internal_test/p2c/numina-001860-0000-13b458d1321297d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "13b458d1321297d400555553068487e614e9e18376523c5f4b477108ed1fa56a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001861.json b/manifests/batches/numina/001861.json
index 75179a248f0b5e95543cfb7425b53a864c159bef..d0b5fe3b0de5dea9834fff9ab741f017ca06b4bc 100644
--- a/manifests/batches/numina/001861.json
+++ b/manifests/batches/numina/001861.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001861",
   "batch_fingerprint": "740dd8be99e3b33f225d471110ab0933df5f80d0139c2c9ca1b2474175871125",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001861-0000-51dee8317e13df54.parquet",
-      "sha256": "51dee8317e13df543358998a70672074166c123d8f117668c1b67d3576a671bb",
-      "bytes": 514138,
-      "rows": 37,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0418444e-c610-5c01-9cf3-d0eb6218472c",
     "numina:1435e660-8ff9-51e5-82d7-5bf15133c1ed",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009307.lean\",\"7ff079c286df133fb63d56dfa8b3bc8f06a3eda2db81cb5e6f973034e9d47fbc\",0,\"inequalities_171125\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009308.lean\",\"18b9a93d035fed0cd979c7d0422facf857283c2f630b0349ea975cb1a768977e\",0,\"algebra_310982\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009309.lean\",\"0a16a29c8d7ee0bbe5c802a020282c7d14a8c9ba51b954893c6fb00ea0779713\",0,\"algebra_318667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 514138,
+      "path": "data/train/p6d/numina-001861-0000-51dee8317e13df54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 37,
+      "sha256": "51dee8317e13df543358998a70672074166c123d8f117668c1b67d3576a671bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001862.json b/manifests/batches/numina/001862.json
index 9dd191a6070c990a92161e8e70dba646a6db9691..c4ec558107211d43323b34eb13e9e31da4473ff0 100644
--- a/manifests/batches/numina/001862.json
+++ b/manifests/batches/numina/001862.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001862",
   "batch_fingerprint": "7d8107e2ac821bed7a297c7f363a42afafb50288cfc5f9b22cfc4863396c3e63",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001862-0000-d64cd71eee3ae4c6.parquet",
-      "sha256": "d64cd71eee3ae4c63bdf3d27ea731fcdd8ea9402bf4e298ccb444912efc08504",
-      "bytes": 196735,
-      "rows": 26,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/dev/numina-001862-0000-004996b02ed91375.parquet",
-      "sha256": "004996b02ed9137573e2440b0a19b9dceba0aafafe5d2db68352f96e02ae04d6",
-      "bytes": 37405,
-      "rows": 7,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:35fa6fbf-75b5-501a-b536-6a0ef83f4888",
     "numina:545734f8-5cf6-5879-9caa-cd07cce6c661",
@@ -66,5 +50,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009311.lean\",\"c996a6c6bcb988ad863e5ec55e40777c897ce444fccca9cc07dd22d40ba95132\",0,\"AIME_Number_Theory_95085\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009313.lean\",\"5b41c7299d3e863cad13eeb4cfc84827e56b00b5104bce68b07f0451071c1ee2\",0,\"algebra_110514\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009314.lean\",\"c2185ed973ddb7c821b726aad9e3cf44f15c013bcf3e8023c5a417b18de40682\",0,\"number_theory_4529\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196735,
+      "path": "data/train/p82/numina-001862-0000-d64cd71eee3ae4c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d64cd71eee3ae4c63bdf3d27ea731fcdd8ea9402bf4e298ccb444912efc08504"
+    },
+    {
+      "bytes": 37405,
+      "path": "data/dev/p82/numina-001862-0000-004996b02ed91375.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "004996b02ed9137573e2440b0a19b9dceba0aafafe5d2db68352f96e02ae04d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001863.json b/manifests/batches/numina/001863.json
index ebe38cec8ae16bcd67e172b3aabc6f1075c26793..d1aa72e958ba86ef9837b0f75ca5f49b4b290285 100644
--- a/manifests/batches/numina/001863.json
+++ b/manifests/batches/numina/001863.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001863",
   "batch_fingerprint": "dcdc972173fe44fe7cbe3b70d3e817da38a233ba07e8ac18ce687d7501ff7866",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001863-0000-03ebcd61667738f6.parquet",
-      "sha256": "03ebcd61667738f62b9f96b59669707fc2627b647cb738ff8a232fa36c70aaf4",
-      "bytes": 197620,
-      "rows": 22,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    },
-    {
-      "path": "data/internal_test/numina-001863-0000-cce3a136efea849b.parquet",
-      "sha256": "cce3a136efea849bd4b47660c29b8f49ed83de459a50cb27cec87a06676d12ed",
-      "bytes": 158445,
-      "rows": 11,
-      "revision": "ddf0e11efe1f213e41c9c87f78de09d919e8a205"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:53c8fe31-c62c-59a8-995d-3ccd1535d0f1",
     "numina:5f437e4a-e58d-540a-bcdf-ea7ad87ae37a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009317.lean\",\"43405ecc2bafaab3a91b6bb08101cfa6748e408341b740832314f7d9fd52b300\",0,\"algebra_13754\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009318.lean\",\"2f33772057be9a9b6a5054db6406540487173354fdc16a3b99521708d8aee50d\",0,\"Algebra_609307\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009319.lean\",\"d300c2b52438c1b87fb686a05ca5907434464ee1fccedebbf2b7794140322c4c\",0,\"algebra_308562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197620,
+      "path": "data/train/pb5/numina-001863-0000-03ebcd61667738f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "03ebcd61667738f62b9f96b59669707fc2627b647cb738ff8a232fa36c70aaf4"
+    },
+    {
+      "bytes": 158445,
+      "path": "data/internal_test/pb5/numina-001863-0000-cce3a136efea849b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cce3a136efea849bd4b47660c29b8f49ed83de459a50cb27cec87a06676d12ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001864.json b/manifests/batches/numina/001864.json
index 0c682a13fbb734e0810d5e8c983443278b31eba2..5809d519cddfb5084304ee911439d713b179ed7d 100644
--- a/manifests/batches/numina/001864.json
+++ b/manifests/batches/numina/001864.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001864",
   "batch_fingerprint": "0bd8ca18e17251f3210d43a0a80db18f944b806831ec42000d155d862f055671",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001864-0000-e9da3c52eebddafb.parquet",
-      "sha256": "e9da3c52eebddafbc43eadee8991b3aa8611e4850232859a7f62ceffad672d22",
-      "bytes": 730885,
-      "rows": 40,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/train/numina-001864-0001-cbc9862615dbc918.parquet",
-      "sha256": "cbc9862615dbc9189001fc770c8c67e6651327639d6e8bb7412b57a2e1c74094",
-      "bytes": 473778,
-      "rows": 14,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:59164349-6ccf-5600-a693-4acd8c791cf8",
     "numina:60565fc7-9216-563a-bb47-a5b11d0f8604",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009322.lean\",\"6df5cb476c8474c99e593ce993bbc459dcd501f6fa96c8096c557b59b44a383a\",0,\"inequalities_110574\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009323.lean\",\"f16ae3a2ce6592cc3e145526592805dd404cb6f8ef63b61b70bb6d3fb9550454\",0,\"number_theory_4530\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009324.lean\",\"151ebd754c5494b2362b06643fb5510b227c89d44859d67e447e67a6c61f0b46\",0,\"algebra_311022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 730885,
+      "path": "data/train/pc2/numina-001864-0000-e9da3c52eebddafb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "e9da3c52eebddafbc43eadee8991b3aa8611e4850232859a7f62ceffad672d22"
+    },
+    {
+      "bytes": 473778,
+      "path": "data/train/pc2/numina-001864-0001-cbc9862615dbc918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cbc9862615dbc9189001fc770c8c67e6651327639d6e8bb7412b57a2e1c74094"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001865.json b/manifests/batches/numina/001865.json
index 09670916a1dae3250d698c056d3c6248a9c5aa67..95bef83818de3161f482d8daf2b516e1e5c8711d 100644
--- a/manifests/batches/numina/001865.json
+++ b/manifests/batches/numina/001865.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001865",
   "batch_fingerprint": "2bb873ee8fb6bc8cf79a1deff88c901bc54ad35f29fb3e36529211c8906a747c",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001865-0000-3b584e35c4aae8ac.parquet",
-      "sha256": "3b584e35c4aae8ac54c003e8841a40c225b43264c5f957d64ea258471dace474",
-      "bytes": 476369,
-      "rows": 43,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/numina-001865-0000-5f126c9447e45095.parquet",
-      "sha256": "5f126c9447e450952da8055c55fd1c3f113a9124d4cbbfbec9fda02a2ebeb851",
-      "bytes": 90146,
-      "rows": 12,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:51d5ae20-3178-5943-9a6c-82e9980d8043",
     "numina:553274a5-bf88-560c-ba0d-0ceacc5a32d3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009327.lean\",\"271595c88eaef6a20b316143f6ad199c6b2d93de012a1946240720c2c60881fa\",0,\"algebra_273177\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009328.lean\",\"081d6a67efb69e541b0b253c47d1a3b3e6c98bd5a16fab9668296d4a4ea919c2\",0,\"calculus_110647\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009329.lean\",\"e87a53bfb6c118cde0db113fb5fb99976f8c8861129ad81391bdd97e0b46b3fa\",0,\"number_theory_4531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476369,
+      "path": "data/train/pb2/numina-001865-0000-3b584e35c4aae8ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 43,
+      "sha256": "3b584e35c4aae8ac54c003e8841a40c225b43264c5f957d64ea258471dace474"
+    },
+    {
+      "bytes": 90146,
+      "path": "data/dev/pb2/numina-001865-0000-5f126c9447e45095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5f126c9447e450952da8055c55fd1c3f113a9124d4cbbfbec9fda02a2ebeb851"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001866.json b/manifests/batches/numina/001866.json
index b2d1dab2c1a488254a244aab9dcd1d1c6caceb8f..06285f11bdb5488e24e8931a3348303099f127ec 100644
--- a/manifests/batches/numina/001866.json
+++ b/manifests/batches/numina/001866.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001866",
   "batch_fingerprint": "2088bd889f9a4e495f6b65765316e0b7d861c222fc4c5dacbba83fd3c72e3eef",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:3eb459a8-cc97-5a8b-aff3-7de562e7ba7f",
+    "numina:530cf140-cc29-5ded-abec-3dd52125af01",
+    "numina:6321443a-4258-5ec0-b6a1-0bd8c48c2fa5",
+    "numina:95f6ebd4-392d-5585-8930-c66629714f32",
+    "numina:e11a7cf4-2809-57b2-92c7-e41bdd7b8a61"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009330.lean\",\"dd73b6eac19e9f6d942e9f937f7b1402c27a557eb0e2bd8fb41a10bb4a7d2e07\",0,\"number_theory_609455\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009331.lean\",\"5b7c2f03064c837b320a5c8248d92be8adf69eee9bb8d99260844b60f6067064\",0,\"algebra_311255\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009332.lean\",\"ece85ea1e48de624f7cd3384ea3b230e14c4907cef98672da6d1e56ee7dd3182\",0,\"algebra_171150\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009333.lean\",\"78aba3d7b48c6454e3843705fe3e30f84147d7c747bf52f38ebc246b43a46e07\",0,\"Other_3764\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009334.lean\",\"b25a905224d2b7f03480155c029f4510b0c8696f98f50b67c55f17db5daede9c\",0,\"calculus_273185\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001866-0000-97b4ae9d05be7a68.parquet",
-      "sha256": "97b4ae9d05be7a68153d79235a5a83e7990b398867ed8c06466fe62455300ba0",
       "bytes": 272642,
+      "path": "data/train/p63/numina-001866-0000-97b4ae9d05be7a68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
+      "sha256": "97b4ae9d05be7a68153d79235a5a83e7990b398867ed8c06466fe62455300ba0"
     },
     {
-      "path": "data/train/numina-001866-0001-028dfc9924e41cdc.parquet",
-      "sha256": "028dfc9924e41cdca6e13b67e9d36351e5ea888cf0600f5c7ee22e7541027927",
       "bytes": 569043,
+      "path": "data/train/p63/numina-001866-0001-028dfc9924e41cdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
+      "sha256": "028dfc9924e41cdca6e13b67e9d36351e5ea888cf0600f5c7ee22e7541027927"
     },
     {
-      "path": "data/train/numina-001866-0002-430762cad510d91d.parquet",
-      "sha256": "430762cad510d91d4163a277cb23c03c65c7945376fc4232a22a0f4899fb6f48",
       "bytes": 557500,
+      "path": "data/train/p63/numina-001866-0002-430762cad510d91d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 23,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
+      "sha256": "430762cad510d91d4163a277cb23c03c65c7945376fc4232a22a0f4899fb6f48"
     },
     {
-      "path": "data/internal_test/numina-001866-0000-040ce20f72138e4d.parquet",
-      "sha256": "040ce20f72138e4d1bc1f79f31b79e761ef59d6f1f9fce51a441de9586a24599",
       "bytes": 72361,
+      "path": "data/internal_test/p63/numina-001866-0000-040ce20f72138e4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "c528420bc923491de892c79bbcd1f886be5dee48"
+      "sha256": "040ce20f72138e4d1bc1f79f31b79e761ef59d6f1f9fce51a441de9586a24599"
     }
-  ],
-  "proof_ids": [
-    "numina:3eb459a8-cc97-5a8b-aff3-7de562e7ba7f",
-    "numina:530cf140-cc29-5ded-abec-3dd52125af01",
-    "numina:6321443a-4258-5ec0-b6a1-0bd8c48c2fa5",
-    "numina:95f6ebd4-392d-5585-8930-c66629714f32",
-    "numina:e11a7cf4-2809-57b2-92c7-e41bdd7b8a61"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009330.lean\",\"dd73b6eac19e9f6d942e9f937f7b1402c27a557eb0e2bd8fb41a10bb4a7d2e07\",0,\"number_theory_609455\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009331.lean\",\"5b7c2f03064c837b320a5c8248d92be8adf69eee9bb8d99260844b60f6067064\",0,\"algebra_311255\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009332.lean\",\"ece85ea1e48de624f7cd3384ea3b230e14c4907cef98672da6d1e56ee7dd3182\",0,\"algebra_171150\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009333.lean\",\"78aba3d7b48c6454e3843705fe3e30f84147d7c747bf52f38ebc246b43a46e07\",0,\"Other_3764\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009334.lean\",\"b25a905224d2b7f03480155c029f4510b0c8696f98f50b67c55f17db5daede9c\",0,\"calculus_273185\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001867.json b/manifests/batches/numina/001867.json
index 90edc2eca78b1c2e294064e92ced940cd72ca014..1dc013fc99244ce5bb0101bb9d03ed4f271d7016 100644
--- a/manifests/batches/numina/001867.json
+++ b/manifests/batches/numina/001867.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001867",
   "batch_fingerprint": "f5a87a07c47b81011befef69a9ac99dd9b0cccaf86de6bf27319cfc61c6ad55e",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001867-0000-f2dda41eb57efbd5.parquet",
-      "sha256": "f2dda41eb57efbd50c66a531fb712f2448afd9e072e1cfc935760e819aa6b96e",
-      "bytes": 449549,
-      "rows": 20,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/train/numina-001867-0001-d9aa81d07180d3de.parquet",
-      "sha256": "d9aa81d07180d3ded0ede992353826e938d3a34694749bef9e44f718fd12bf5c",
-      "bytes": 71374,
-      "rows": 4,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/numina-001867-0000-849b976c1036ec96.parquet",
-      "sha256": "849b976c1036ec96c5f0f9263771101898af56af600f3d70d10565803f47ff7a",
-      "bytes": 32716,
-      "rows": 1,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:11fd7bac-3e3f-5421-8605-3993ee37de72",
     "numina:55975c66-2108-5ea8-a0fe-699c15f36716",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009337.lean\",\"a274c46e36af1c52f2ab3a52184d93c5df73d0022302cb0109200e112d27aa7c\",0,\"algebra_610795\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009338.lean\",\"561c097025493c046f3fae04d2d3ddd78beb2ddeaf0bb594562bad4946ebb2ce\",0,\"algebra_311594\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009339.lean\",\"4b5e2a65da81159fe1c0a9175ca7dffdd3970db54f1a10228ac9aab40ee70d5c\",0,\"inequalities_599222\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449549,
+      "path": "data/train/p16/numina-001867-0000-f2dda41eb57efbd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f2dda41eb57efbd50c66a531fb712f2448afd9e072e1cfc935760e819aa6b96e"
+    },
+    {
+      "bytes": 71374,
+      "path": "data/train/p16/numina-001867-0001-d9aa81d07180d3de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d9aa81d07180d3ded0ede992353826e938d3a34694749bef9e44f718fd12bf5c"
+    },
+    {
+      "bytes": 32716,
+      "path": "data/internal_test/p16/numina-001867-0000-849b976c1036ec96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "849b976c1036ec96c5f0f9263771101898af56af600f3d70d10565803f47ff7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001868.json b/manifests/batches/numina/001868.json
index 482c8ce443748d12082041aee1ad06b68b221c0a..2e26975e4b2c4e4421511823eeb75d6f110150b4 100644
--- a/manifests/batches/numina/001868.json
+++ b/manifests/batches/numina/001868.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001868",
   "batch_fingerprint": "c84f64648c2ab3225ad8a9278e8d11ed7121ed42d425daf9a55f93442b9eed15",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001868-0000-2ecf5ba6788f4b6a.parquet",
-      "sha256": "2ecf5ba6788f4b6ad986037ab739cad15df4d5c4d9ce75ecabfdd47f3f076f15",
-      "bytes": 371766,
-      "rows": 45,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:28a22216-4c54-5de2-853c-b40542b9fea6",
     "numina:a8f64147-b778-5efc-b1c6-245220010834",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009342.lean\",\"07ba3c1066e19491d32a00c544e13197dea3d64baf34afd863630a7c41251e1d\",0,\"algebra_14190\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009343.lean\",\"05f0532261d7b7d10a9ce91efea91b16754b4d042b917affe3f62fc9b68f7888\",0,\"number_theory_18713\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009344.lean\",\"1e255107e5c3bd7d0c264203064d70ab64f208c7de990b56057d80dcaa90b5e1\",0,\"number_theory_609606\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371766,
+      "path": "data/train/p78/numina-001868-0000-2ecf5ba6788f4b6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "2ecf5ba6788f4b6ad986037ab739cad15df4d5c4d9ce75ecabfdd47f3f076f15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001869.json b/manifests/batches/numina/001869.json
index 4a4493f8c40171904bc5e64ca894e8fbaca0b0f4..e5bb95348834f60048af02d3f8c1f70c04c0cd3f 100644
--- a/manifests/batches/numina/001869.json
+++ b/manifests/batches/numina/001869.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001869",
   "batch_fingerprint": "4d78064d1ae3598445aaf1fd883a61908fd2ef79c617473b3744848417bb7779",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:0aab6f59-9cfb-57c9-95eb-d2a7b6e5a25a",
+    "numina:5a4c90a1-b451-5bb5-b494-984e6192aa11",
+    "numina:724a190a-bcc6-53e9-bb55-74bc528537b9",
+    "numina:b9b42076-5e49-57c9-b437-c3aa70c58ad1",
+    "numina:e60da079-f76c-5ce0-831c-92561eb56e0a"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009345.lean\",\"1132d8b21ac329c25ba3b9fb77fdd9a66905a7411dfeb31d1e18bd95dbe79068\",0,\"number_theory_4787\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009346.lean\",\"b569bcc51e5be08263eecb166f2d3aded62af1d8a9f199a7878fd8edc9367539\",0,\"inequalities_115477\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009347.lean\",\"d4884ecc1aa804bef206137ad798d5bda8e616b51f0689bbb89d813d536223a9\",0,\"inequalities_237192\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009348.lean\",\"cded3a3f6a4771056ecde4524cbc07c076cfbb2eced94a9bab1e9b3d6231e136\",0,\"number_theory_610797\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009349.lean\",\"93547b058d5d720441357014d35c760c76b701e9e43ce19beaf7174557d6d0f0\",0,\"algebra_20432\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001869-0000-6bd81cf4fe7ba6ef.parquet",
-      "sha256": "6bd81cf4fe7ba6efd9c865fdf954bcb675b0a64e879ed788ca9ea127d896595b",
       "bytes": 777288,
+      "path": "data/train/p4c/numina-001869-0000-6bd81cf4fe7ba6ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 37,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
+      "sha256": "6bd81cf4fe7ba6efd9c865fdf954bcb675b0a64e879ed788ca9ea127d896595b"
     },
     {
-      "path": "data/train/numina-001869-0001-d411d6795a045a93.parquet",
-      "sha256": "d411d6795a045a93631ce0fe3c5b9c005afc18204e09d3835c8ac9fc3412e700",
       "bytes": 1317957,
+      "path": "data/train/p4c/numina-001869-0001-d411d6795a045a93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
+      "sha256": "d411d6795a045a93631ce0fe3c5b9c005afc18204e09d3835c8ac9fc3412e700"
     },
     {
-      "path": "data/train/numina-001869-0002-c49994ac3aa6411b.parquet",
-      "sha256": "c49994ac3aa6411bc29e2acb5a92a46d0a1f55c911dfd2eac8493e1f0e48c3d7",
       "bytes": 231789,
+      "path": "data/train/p4c/numina-001869-0002-c49994ac3aa6411b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
+      "sha256": "c49994ac3aa6411bc29e2acb5a92a46d0a1f55c911dfd2eac8493e1f0e48c3d7"
     },
     {
-      "path": "data/internal_test/numina-001869-0000-b536adcf8ea78cbb.parquet",
-      "sha256": "b536adcf8ea78cbb8a3dc4917d8e1bdaa64a9758156084db264e03990817433e",
       "bytes": 72362,
+      "path": "data/internal_test/p4c/numina-001869-0000-b536adcf8ea78cbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
+      "sha256": "b536adcf8ea78cbb8a3dc4917d8e1bdaa64a9758156084db264e03990817433e"
     }
-  ],
-  "proof_ids": [
-    "numina:0aab6f59-9cfb-57c9-95eb-d2a7b6e5a25a",
-    "numina:5a4c90a1-b451-5bb5-b494-984e6192aa11",
-    "numina:724a190a-bcc6-53e9-bb55-74bc528537b9",
-    "numina:b9b42076-5e49-57c9-b437-c3aa70c58ad1",
-    "numina:e60da079-f76c-5ce0-831c-92561eb56e0a"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009345.lean\",\"1132d8b21ac329c25ba3b9fb77fdd9a66905a7411dfeb31d1e18bd95dbe79068\",0,\"number_theory_4787\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009346.lean\",\"b569bcc51e5be08263eecb166f2d3aded62af1d8a9f199a7878fd8edc9367539\",0,\"inequalities_115477\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009347.lean\",\"d4884ecc1aa804bef206137ad798d5bda8e616b51f0689bbb89d813d536223a9\",0,\"inequalities_237192\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009348.lean\",\"cded3a3f6a4771056ecde4524cbc07c076cfbb2eced94a9bab1e9b3d6231e136\",0,\"number_theory_610797\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009349.lean\",\"93547b058d5d720441357014d35c760c76b701e9e43ce19beaf7174557d6d0f0\",0,\"algebra_20432\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001870.json b/manifests/batches/numina/001870.json
index c3bd55044b4f33fe44af4a938bfd4d996654b678..2276f54463e46e8a65a3b99a436c7e11ad704052 100644
--- a/manifests/batches/numina/001870.json
+++ b/manifests/batches/numina/001870.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001870",
   "batch_fingerprint": "4ce27979b0d70ec1b4fc652dc4b2a46255a9e7ce28903d8aa8d61e3e17bb24ba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001870-0000-7340d84bfb923874.parquet",
-      "sha256": "7340d84bfb92387459e4877c0bbe269ea9f652f54e260fe377d61cb03457685d",
-      "bytes": 502578,
-      "rows": 17,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:59dfd310-f8ed-5c47-bb92-d077d4dce21d",
     "numina:997e977a-d06a-5e48-868d-0225869488ff",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009352.lean\",\"c7654fae86bdfc913b350e79b620285ef2b045881acab84b4b8183c5fba50e14\",0,\"algebra_609640\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009353.lean\",\"3bbd33bbbe37cd1e475ec22f599f8d8875d291f08e66b5fc2bae1df89525ae67\",1,\"algebra_24619.algebra_24619\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009354.lean\",\"314fbc69824d4af61b185e3fbe79359f392baa237e7f35da258de7a5af77d8a0\",0,\"number_theory_93865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 502578,
+      "path": "data/train/pf5/numina-001870-0000-7340d84bfb923874.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7340d84bfb92387459e4877c0bbe269ea9f652f54e260fe377d61cb03457685d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001871.json b/manifests/batches/numina/001871.json
index 1c264550fcd90b6d7de26c94d911fa10545db2fd..5084d46a9f5a64d9d9843a609f88b94967b92001 100644
--- a/manifests/batches/numina/001871.json
+++ b/manifests/batches/numina/001871.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001871",
   "batch_fingerprint": "76290a3379ed74a5dbfe5aaa0f0c580c9c712a8c87cb40f5583a8e7b78d52628",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001871-0000-6e7d7d7eb0b6df47.parquet",
-      "sha256": "6e7d7d7eb0b6df47c31787c52e1f46527c3ac1097cee98a47b86fef9f11bccdf",
-      "bytes": 602796,
-      "rows": 99,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/train/numina-001871-0001-06eb06b565633c8d.parquet",
-      "sha256": "06eb06b565633c8d32d3dcebc5635c48e9b55d8b2a310147677db8c2347f2a4c",
-      "bytes": 316831,
-      "rows": 24,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:32d44a7f-27d3-5e78-9e32-3100a27777bb",
     "numina:78f6aede-2fbb-5d1a-ad1f-daa9ff7e85ef",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009357.lean\",\"64fca36ef0334b6b60167c865c9b20e8ab274ee2795d522e9e52ead5e1244dff\",0,\"number_theory_41936\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009358.lean\",\"fcd4b4c2a20680604424852b58e43a70eea6b9a22d4e19d7eea54eae5fa11f3c\",1,\"algebra_9088_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009359.lean\",\"ce3f07c1110cb2dfe67f64180e957e1557745bdb39018b7d244dca7530ed6221\",0,\"number_theory_155760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 602796,
+      "path": "data/train/p2e/numina-001871-0000-6e7d7d7eb0b6df47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 99,
+      "sha256": "6e7d7d7eb0b6df47c31787c52e1f46527c3ac1097cee98a47b86fef9f11bccdf"
+    },
+    {
+      "bytes": 316831,
+      "path": "data/train/p2e/numina-001871-0001-06eb06b565633c8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "06eb06b565633c8d32d3dcebc5635c48e9b55d8b2a310147677db8c2347f2a4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001872.json b/manifests/batches/numina/001872.json
index a254f12df8f2f8bc1b0b65f2faa90eb673fa68fa..679e2fa29bd28b976c531256774c3756d32fe9f9 100644
--- a/manifests/batches/numina/001872.json
+++ b/manifests/batches/numina/001872.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001872",
   "batch_fingerprint": "c5b8c00d50d9dc7df442b26281eed7740cd6a7cd54bfa90480d70ddd27040822",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001872-0000-3d580e33e0b4b2b0.parquet",
-      "sha256": "3d580e33e0b4b2b0e4b45d18fe2f763a6886e6bf811d7a132ce97308b4cf6697",
-      "bytes": 193579,
-      "rows": 29,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/numina-001872-0000-67ebb6a6696c6418.parquet",
-      "sha256": "67ebb6a6696c6418f52de8bea46bf80548510d14546c998f8527d41cba37d453",
-      "bytes": 118238,
-      "rows": 2,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:07640039-8838-56b2-b507-b42ecd6c90be",
     "numina:34e33ffa-cc46-59d8-87f0-2d31a5cc1a5a",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009362.lean\",\"e31b413868cd75a58af592936fc73ce8c26c264b3697aff135d4f34a5bce716f\",0,\"algebra_20434\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009363.lean\",\"7d7df31b35a678a5548b1f5e392783db9a2cf6ab81138467c98873a8b9065044\",0,\"algebra_599504\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009364.lean\",\"6bc1e06d6bfa16995e0a880c57fa2a2dfe4ab451da4969b94c8c85f6c6f57654\",0,\"algebra_306420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193579,
+      "path": "data/train/p94/numina-001872-0000-3d580e33e0b4b2b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "3d580e33e0b4b2b0e4b45d18fe2f763a6886e6bf811d7a132ce97308b4cf6697"
+    },
+    {
+      "bytes": 118238,
+      "path": "data/internal_test/p94/numina-001872-0000-67ebb6a6696c6418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "67ebb6a6696c6418f52de8bea46bf80548510d14546c998f8527d41cba37d453"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001873.json b/manifests/batches/numina/001873.json
index ad12f3b3f69a819b42da0f645799d285414c71c3..de757e0af9a29f372f49b83f460f78db3c47f025 100644
--- a/manifests/batches/numina/001873.json
+++ b/manifests/batches/numina/001873.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001873",
   "batch_fingerprint": "5276632a29143ba41c04ec1fc6ab92b74f4da96fc4e704303a280e619d2809c5",
   "evidence": {
@@ -19,29 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001873-0000-5dff7c0154c8a377.parquet",
-      "sha256": "5dff7c0154c8a377922dabf3e3278ddf0e72ee39d3c792cdc0aff9302697d06b",
-      "bytes": 139492,
-      "rows": 24,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/dev/numina-001873-0000-e7720c97ff2ba73b.parquet",
-      "sha256": "e7720c97ff2ba73b8a4955f837bd241d9baea0e2a95f133571826885877cfed1",
-      "bytes": 74636,
-      "rows": 9,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    },
-    {
-      "path": "data/internal_test/numina-001873-0000-2eb682f3a6e36605.parquet",
-      "sha256": "2eb682f3a6e36605ac4fa12dbcb4f1605e272e600793f0f107c78c4d74835445",
-      "bytes": 134209,
-      "rows": 11,
-      "revision": "9bbed15a51444d21da33671bab3239d2f0cfd4c6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:000f29a6-873f-509d-b506-61b1d450b061",
     "numina:04567318-e354-5454-b6ec-f1f4b87a1f8a",
@@ -55,5 +32,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009367.lean\",\"08d5ee7f56de34cb4dbb6b27d1eb0d42b6a6aced0dce8efec8ba90a39ada5631\",0,\"algebra_210959\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009368.lean\",\"46e61b9ddd319ded628ae04da056d9e92a48dfe06f27d9c7add65a54d653d803\",1,\"algebra_9090_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009369.lean\",\"a5d72e24900c9287ef38eb6be5bd4bb755f3a8aae74bd59c647d3737ea50b0a0\",0,\"inequalities_604693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139492,
+      "path": "data/train/p21/numina-001873-0000-5dff7c0154c8a377.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5dff7c0154c8a377922dabf3e3278ddf0e72ee39d3c792cdc0aff9302697d06b"
+    },
+    {
+      "bytes": 74636,
+      "path": "data/dev/p21/numina-001873-0000-e7720c97ff2ba73b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e7720c97ff2ba73b8a4955f837bd241d9baea0e2a95f133571826885877cfed1"
+    },
+    {
+      "bytes": 134209,
+      "path": "data/internal_test/p21/numina-001873-0000-2eb682f3a6e36605.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2eb682f3a6e36605ac4fa12dbcb4f1605e272e600793f0f107c78c4d74835445"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001874.json b/manifests/batches/numina/001874.json
index da4b469d19cb6474dd3fe4432e7313833d6e2787..044ddf7b0a869f8be72b1b59f258add8c81a12eb 100644
--- a/manifests/batches/numina/001874.json
+++ b/manifests/batches/numina/001874.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001874",
   "batch_fingerprint": "3d4400ff2f9e79ad622e8e30d5338182d88ea1d74f9605714cfb3f37dd2c2d2f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001874-0000-69e27a6554b7b843.parquet",
-      "sha256": "69e27a6554b7b843527aa3574b3e65ed70ca250dca60282c12ed5f0a787f4c08",
-      "bytes": 396456,
-      "rows": 45,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0096a977-b069-5613-ae87-734849b7180a",
     "numina:3a663a10-9552-5061-88e4-695d4a6ecd97",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009372.lean\",\"ad1219c32ef341ffa38c067a63ca937c813b963a795040885ef1c5a588a3b464\",0,\"Other_640\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009373.lean\",\"c2dbdbe709508edbe0438c06c05c6f37517057e3162133d0c9a43ef663a45b8e\",0,\"algebra_21389\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009374.lean\",\"805268c3454fdd8cae3d7511349544719cacee557b55e4e066092eb0a6002a1c\",0,\"inequalities_118955\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396456,
+      "path": "data/train/p35/numina-001874-0000-69e27a6554b7b843.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "69e27a6554b7b843527aa3574b3e65ed70ca250dca60282c12ed5f0a787f4c08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001875.json b/manifests/batches/numina/001875.json
index f4fc6371ada5150fba346323732d808ecf6bcd03..55078f353cc81dca2900c6d1dfd966bbc1030b32 100644
--- a/manifests/batches/numina/001875.json
+++ b/manifests/batches/numina/001875.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001875",
   "batch_fingerprint": "c2373281ec00ba664c20ab90eff279f83c9b87532af83b26b6576b9256d884cd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001875-0000-45769692dd0ffb14.parquet",
-      "sha256": "45769692dd0ffb14020acdd60139930293de7e9ef36259e0e5b23dd415a46a56",
-      "bytes": 279557,
-      "rows": 20,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:b9e80dfb-38b5-551d-9294-5d6b49f7af48",
     "numina:c4eb7b9b-f572-591f-bbe3-55b2a2895618",
@@ -41,5 +32,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009377.lean\",\"ab58f12c5e9f2ad570fb24deae53deba2a561a4154bb2b3edc16b3a6bdd99a92\",2,\"number_theory_8962_2\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009378.lean\",\"bf2b6ba00a9b81eb484518f3196908a76c29e818d006abf226f1113fa21fda25\",0,\"algebra_604698\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009379.lean\",\"5c888de32ef0c1e3ef580fe02ef8b0ddc57ef648ff1956b51a40caad93352011\",0,\"calculus_152681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279557,
+      "path": "data/train/p03/numina-001875-0000-45769692dd0ffb14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "45769692dd0ffb14020acdd60139930293de7e9ef36259e0e5b23dd415a46a56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001876.json b/manifests/batches/numina/001876.json
index 164c0f1ee53990cb2c6b97da1c4a3cc604f9b80f..0a8bccf0cb4e7ed3bfd6bba56ca7589d9aae54fb 100644
--- a/manifests/batches/numina/001876.json
+++ b/manifests/batches/numina/001876.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001876",
   "batch_fingerprint": "9f27fdc416f87c8545e9462850c210956e61900f43c4764fef97cb5216fe72d1",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001876-0000-1c4da32948c2c5e2.parquet",
-      "sha256": "1c4da32948c2c5e26532c2cd1ee8f815c2aba1a0fed8998ff0d931385107b97d",
-      "bytes": 262294,
-      "rows": 45,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/numina-001876-0000-03b4f4b958b1659f.parquet",
-      "sha256": "03b4f4b958b1659f57157f15773816c785d39afd3a5091c02e5689a58af57d05",
-      "bytes": 49907,
-      "rows": 7,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0e9cd467-bf9a-567e-a167-781ad55e49da",
     "numina:4409dd03-9faf-5224-86e4-febea076c0db",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009382.lean\",\"fc8cfde0951cdb4f907640f4e6912d4b560253b39ba2cce4c030c5ae8b4cf818\",0,\"algebra_611195\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009383.lean\",\"4daebce1146e5a87d907de64d24b49a25389c6b47b6e29cb37e2d163a3aeb552\",0,\"number_theory_40336\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009384.lean\",\"b4af41f1e037b70ebc6418dd6cf2caf81cd3f7ea4d3639e3a97be06393677feb\",0,\"number_theory_156032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262294,
+      "path": "data/train/pb0/numina-001876-0000-1c4da32948c2c5e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "1c4da32948c2c5e26532c2cd1ee8f815c2aba1a0fed8998ff0d931385107b97d"
+    },
+    {
+      "bytes": 49907,
+      "path": "data/internal_test/pb0/numina-001876-0000-03b4f4b958b1659f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "03b4f4b958b1659f57157f15773816c785d39afd3a5091c02e5689a58af57d05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001877.json b/manifests/batches/numina/001877.json
index cc99bc33cf02cb9bbfadf4c976cfac664ef169bd..2bf990391a9c0e0092d526ec2678c6a66becf14b 100644
--- a/manifests/batches/numina/001877.json
+++ b/manifests/batches/numina/001877.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001877",
   "batch_fingerprint": "5d5b57661726cb32168fa6fec2fde63bc64b7c4ca9a603ef53a649741772ceb6",
   "evidence": {
@@ -18,48 +17,49 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:41a14c6c-4b9a-50b1-b55a-f3e85d67d88e",
+    "numina:5fac4612-b9bb-5205-a3b0-f51de9fa515c",
+    "numina:a31ae240-404b-5f7c-8121-a9ab06c072a3",
+    "numina:a6ead302-9af6-5bea-bbed-f2fa6867c9ee",
+    "numina:dd72905d-4e28-5b75-a040-655957fe5d16"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009385.lean\",\"fcbd4edf9923f3aaacb3ca8870432c33af574142642d3572bcc3bb68919e0fcc\",0,\"number_theory_609108\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009386.lean\",\"7f1bbe38aa9894cc1fb68c336705a64c69f2b04067030651774846a3498a5a71\",0,\"algebra_20447\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009387.lean\",\"a231cb223a3f6ec47e6692127655b68861e16a2de495e727d0e44af97b72911f\",0,\"number_theory_606144\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009388.lean\",\"7aac93ac2246b17d8bed146c74c2377cd064876e9256caf85d323f06518613e2\",0,\"algebra_9284\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009389.lean\",\"5e875e05d87131a5be744a3c46555bd2ebbe373fb18f6735e1c1aa920b3f9115\",0,\"number_theory_19015\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001877-0000-9bee0195d16dcac5.parquet",
-      "sha256": "9bee0195d16dcac5e51732aeecad557011b53722c3d07f608c5506ea7b072648",
       "bytes": 49495,
+      "path": "data/train/p62/numina-001877-0000-9bee0195d16dcac5.parquet",
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       "rows": 5,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
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-      "path": "data/train/numina-001877-0001-15d6f0e9433d73f9.parquet",
-      "sha256": "15d6f0e9433d73f965c7009a3e908279025a565ba75b779e0da708b8f1385b52",
       "bytes": 5762756,
+      "path": "data/train/p62/numina-001877-0001-15d6f0e9433d73f9.parquet",
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       "rows": 1,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
+      "sha256": "15d6f0e9433d73f965c7009a3e908279025a565ba75b779e0da708b8f1385b52"
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     {
-      "path": "data/train/numina-001877-0002-8455c280635b81a4.parquet",
-      "sha256": "8455c280635b81a4d01bd8a3eba7ccfa5e9362c64918e8bc0300630edef35fd1",
       "bytes": 117938,
+      "path": "data/train/p62/numina-001877-0002-8455c280635b81a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
+      "sha256": "8455c280635b81a4d01bd8a3eba7ccfa5e9362c64918e8bc0300630edef35fd1"
     },
     {
-      "path": "data/dev/numina-001877-0000-aefa6555df3c1991.parquet",
-      "sha256": "aefa6555df3c1991a9e836c2a1fcf2b7aa7cfcc6f4598c5286ae19a4be5261bf",
       "bytes": 213538,
+      "path": "data/dev/p62/numina-001877-0000-aefa6555df3c1991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
+      "sha256": "aefa6555df3c1991a9e836c2a1fcf2b7aa7cfcc6f4598c5286ae19a4be5261bf"
     }
-  ],
-  "proof_ids": [
-    "numina:41a14c6c-4b9a-50b1-b55a-f3e85d67d88e",
-    "numina:5fac4612-b9bb-5205-a3b0-f51de9fa515c",
-    "numina:a31ae240-404b-5f7c-8121-a9ab06c072a3",
-    "numina:a6ead302-9af6-5bea-bbed-f2fa6867c9ee",
-    "numina:dd72905d-4e28-5b75-a040-655957fe5d16"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009385.lean\",\"fcbd4edf9923f3aaacb3ca8870432c33af574142642d3572bcc3bb68919e0fcc\",0,\"number_theory_609108\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009386.lean\",\"7f1bbe38aa9894cc1fb68c336705a64c69f2b04067030651774846a3498a5a71\",0,\"algebra_20447\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009387.lean\",\"a231cb223a3f6ec47e6692127655b68861e16a2de495e727d0e44af97b72911f\",0,\"number_theory_606144\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009388.lean\",\"7aac93ac2246b17d8bed146c74c2377cd064876e9256caf85d323f06518613e2\",0,\"algebra_9284\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009389.lean\",\"5e875e05d87131a5be744a3c46555bd2ebbe373fb18f6735e1c1aa920b3f9115\",0,\"number_theory_19015\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001878.json b/manifests/batches/numina/001878.json
index 9faf84e66a9c63223d3ac0345060b6c700535e2e..2fa98a194f6b8ef860ab69acb73babfe4dabd147 100644
--- a/manifests/batches/numina/001878.json
+++ b/manifests/batches/numina/001878.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001878",
   "batch_fingerprint": "b3a2bdf5ff94cb00692e667f0f8b54058ce893828e6507dead7e1435e858a42f",
   "evidence": {
@@ -49,22 +48,7 @@
     "validation_rejected_proofs": 1,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001878-0000-abad278d599a369b.parquet",
-      "sha256": "abad278d599a369b73081e509631db24af0515a96a5dd357cb16ced9280065f3",
-      "bytes": 201012,
-      "rows": 31,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/numina-001878-0000-ca790bf11259dc1e.parquet",
-      "sha256": "ca790bf11259dc1e82b34705d81eb5d3296b8967376d6a1bac678bf6490a1bb4",
-      "bytes": 48902,
-      "rows": 3,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:219b6cbe-fc2b-525b-9a40-7f316aeb51d2",
     "numina:631baaf3-aff9-52a6-9c2b-ba8bea7b0c43",
@@ -76,5 +60,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009391.lean\",\"7451a8da749e3c65f089d0cbec61b624cecd0234e1a1b82b8c9cc3108d3355f9\",0,\"algebra_611196\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009392.lean\",\"daa1bed2fc6da5bd0fe6517f62fd202b041b414b335fe5ad10ea254dcb3a8c1e\",0,\"algebra_609110\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009394.lean\",\"1611924d3f3e07eae3e1320bc9d77ef3bd96343c74bda38cfbc8f67862a417fa\",0,\"algebra_157393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201012,
+      "path": "data/train/pec/numina-001878-0000-abad278d599a369b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "abad278d599a369b73081e509631db24af0515a96a5dd357cb16ced9280065f3"
+    },
+    {
+      "bytes": 48902,
+      "path": "data/dev/pec/numina-001878-0000-ca790bf11259dc1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ca790bf11259dc1e82b34705d81eb5d3296b8967376d6a1bac678bf6490a1bb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001879.json b/manifests/batches/numina/001879.json
index 6a8a6c63d9ee18bd8182235f12ff3510d45a4a54..24a8fed4d1ee24ba87bf4e68a09c5e05b9c014d3 100644
--- a/manifests/batches/numina/001879.json
+++ b/manifests/batches/numina/001879.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001879",
   "batch_fingerprint": "dbe1bb37ed87dbdf0428a428e8db4c9afe65ae14e32e703b60f41e0f7efb0773",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001879-0000-aae230dd203fea03.parquet",
-      "sha256": "aae230dd203fea035085103ac5fb8e117421d9bbbc4ba04ca900a6d21bc7589c",
-      "bytes": 197658,
-      "rows": 20,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5f0e258f-c2dc-5d9e-951b-3f3fe31d71ae",
     "numina:8b811b71-387e-5953-8076-892741e4209a",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009397.lean\",\"859b5f318cd125bfaa07ae69f8930f16492f88d5827f31ad6e09ee8dd71ec3d9\",0,\"algebra_20844\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009398.lean\",\"abf4e98f126a9c53f8d68c6ae0100f1103d6d53ae5bbda5fcb00813a633eeef9\",0,\"inequalities_123365\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009399.lean\",\"2838c9c90c64f9f1bd983c1580d73ef3ee4526f2f04a4b7ae04fd628dc5e6a99\",0,\"inequalities_6613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197658,
+      "path": "data/train/p0b/numina-001879-0000-aae230dd203fea03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "aae230dd203fea035085103ac5fb8e117421d9bbbc4ba04ca900a6d21bc7589c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001880.json b/manifests/batches/numina/001880.json
index 184bbbdb5de93077c1691945d25df4b5a71fb6b5..ad4b5335091d29fb4561aa0b9854cb6add48ef0a 100644
--- a/manifests/batches/numina/001880.json
+++ b/manifests/batches/numina/001880.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001880",
   "batch_fingerprint": "e4d48a5012bf1aeffc2739e3c71cc2c5f34f3092399bf3bae94f9faeea8b9a39",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001880-0000-50f12c3bdafe3fef.parquet",
-      "sha256": "50f12c3bdafe3fef89edafda1a668bfdf4dd16d8e91e9a9b98ba3755ef632615",
-      "bytes": 347463,
-      "rows": 59,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/internal_test/numina-001880-0000-0cd938237fdedba1.parquet",
-      "sha256": "0cd938237fdedba1e257161efbb634ffe3a7232d6c026feba4cb144bccae3cb7",
-      "bytes": 38182,
-      "rows": 4,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:0d8074dd-6411-56bd-b3b8-ea28bc019e60",
     "numina:2c4edb5a-7b94-5ee1-9fc0-a4717b29c4ef",
@@ -48,5 +32,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009402.lean\",\"e850118e0dc9601a515bc140c2c86847b5dd7e8292d5899ec92b188b6d3b136c\",2,\"number_theory_4669\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009403.lean\",\"fb4dcc8e5fe2a6ee5e7d284d69f8b70553ca4cc0f867dec5fc8ce4bd1152be92\",0,\"algebra_94865\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009404.lean\",\"dfa1df549c096c490ce3242b754b4c540dde0c326d406f6e35e957893b1b7460\",0,\"number_theory_233473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347463,
+      "path": "data/train/p63/numina-001880-0000-50f12c3bdafe3fef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 59,
+      "sha256": "50f12c3bdafe3fef89edafda1a668bfdf4dd16d8e91e9a9b98ba3755ef632615"
+    },
+    {
+      "bytes": 38182,
+      "path": "data/internal_test/p63/numina-001880-0000-0cd938237fdedba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0cd938237fdedba1e257161efbb634ffe3a7232d6c026feba4cb144bccae3cb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001881.json b/manifests/batches/numina/001881.json
index caff9a4f8f37aae00744c2c3d2625fcfa99621a4..58c2af7f38f16c50159ed7c7aa53a1c2dcddbcdb 100644
--- a/manifests/batches/numina/001881.json
+++ b/manifests/batches/numina/001881.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001881",
   "batch_fingerprint": "994aa7544549f5a129a07fa41e3e9b5bca73d673052ba06e1658a67fcfbaccf5",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001881-0000-48637361e27ed2a5.parquet",
-      "sha256": "48637361e27ed2a5ea2aeb0d2eb7f47212ee7697545ea2777f9a2d3b99cd66b5",
-      "bytes": 340847,
-      "rows": 49,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    },
-    {
-      "path": "data/dev/numina-001881-0000-64b7f093f28eaf4a.parquet",
-      "sha256": "64b7f093f28eaf4acec9b0cf188304a1df4a344b27a78b8b7f1adf96db5d8a35",
-      "bytes": 27454,
-      "rows": 1,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:049b8ed0-33fa-59a4-9faa-210e4a371347",
     "numina:cc90a56e-7b2f-515d-a4f1-0593659e1ce9",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009407.lean\",\"93f4a0c38c170f8dab5c849229ac5b37bb8f512e070284123247afac091ae764\",0,\"algebra_9024\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009408.lean\",\"9bff4b6628f88d0461c6c1ccab51c5caa5572a34a352606940487032b1847b60\",0,\"algebra_18865\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009409.lean\",\"09e9225d72a1b36fd862638cbb68da5479667e6ebd6f8240b308da16b08e1e0e\",0,\"number_theory_149531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340847,
+      "path": "data/train/p6d/numina-001881-0000-48637361e27ed2a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 49,
+      "sha256": "48637361e27ed2a5ea2aeb0d2eb7f47212ee7697545ea2777f9a2d3b99cd66b5"
+    },
+    {
+      "bytes": 27454,
+      "path": "data/dev/p6d/numina-001881-0000-64b7f093f28eaf4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "64b7f093f28eaf4acec9b0cf188304a1df4a344b27a78b8b7f1adf96db5d8a35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001882.json b/manifests/batches/numina/001882.json
index 0e040ed50f88142cb0428b8cebcbe7e298d69a27..9b9665ee04ebfb2cb586b222b59ea893eda32939 100644
--- a/manifests/batches/numina/001882.json
+++ b/manifests/batches/numina/001882.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001882",
   "batch_fingerprint": "b3ed27f566a3651743339f8e3272f425359365c34646d222e24d86de18f5f816",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001882-0000-12dbc6a3f873bf59.parquet",
-      "sha256": "12dbc6a3f873bf597d54a0e66c58ca452fe62aac038be2c727fd1106975e8418",
-      "bytes": 362344,
-      "rows": 61,
-      "revision": "af029edaab9cc944a4073bd49b1a19dfdcdb3a6d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:5d49b84b-78ec-5eda-96ec-efdad00077f5",
     "numina:a578871d-68cb-580b-b796-217181e4e2d4",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009412.lean\",\"92d68a4505200bfffa66e31803710e4f6bfb0376ba08b41c12e2f9933a249c7b\",0,\"number_theory_2144\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009413.lean\",\"be8a84e89f4ed9405c08ce738486f38ed1700c98485dbbea5a3537a486c3758a\",0,\"algebra_9026\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009414.lean\",\"e27a17141ec36db5f196caed059498a2831a3f019b1f1ae5bb79679fba44b502\",0,\"inequalities_267787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362344,
+      "path": "data/train/p56/numina-001882-0000-12dbc6a3f873bf59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 61,
+      "sha256": "12dbc6a3f873bf597d54a0e66c58ca452fe62aac038be2c727fd1106975e8418"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001883.json b/manifests/batches/numina/001883.json
index a7c713af512ff30bc3e6d1d4234fe415072f6f73..a6f6db66547d011b0bd89e69fb950070ebd9aa4d 100644
--- a/manifests/batches/numina/001883.json
+++ b/manifests/batches/numina/001883.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001883",
   "batch_fingerprint": "10481d444f524e3acc410b5c0e1d8c13ccf14c0253a433f32e408d81238220c2",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001883-0000-e12ec9a476619e7f.parquet",
-      "sha256": "e12ec9a476619e7ffaef0357a52f94a9349a0fcb18a51eacb1fc19aebf5e6d3c",
-      "bytes": 561262,
-      "rows": 38,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/train/numina-001883-0001-786af59e370aff6b.parquet",
-      "sha256": "786af59e370aff6b71a8f9e52d9548414210ad7bdfde804adf77cb1a40688308",
-      "bytes": 445486,
-      "rows": 4,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    },
-    {
-      "path": "data/internal_test/numina-001883-0000-d5f9e5288bf997ab.parquet",
-      "sha256": "d5f9e5288bf997ab9bc05e4e6abd8e760253ef5b47d3ff07dfb34f32bc30da3b",
-      "bytes": 297500,
-      "rows": 33,
-      "revision": "a98ccbe14802433fd47252c2f4cfb8ba69dbef97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:15a94d79-2f68-5179-ac48-84ebcce56f84",
     "numina:5a9bd61d-dd70-5d6e-ba18-b9bfbdeffad2",
@@ -54,5 +31,28 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009417.lean\",\"b6a757120f8f51abe397de21183b6c91f2a6e8144e1bd6bb2046da4f7980b06c\",0,\"algebra_610398\"]",
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     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009419.lean\",\"cbb7d29e358745b90cdf50e21ee318d9072565b5e351ce458d4f9de0bdfc0b0c\",0,\"algebra_19901\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 561262,
+      "path": "data/train/p9e/numina-001883-0000-e12ec9a476619e7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "e12ec9a476619e7ffaef0357a52f94a9349a0fcb18a51eacb1fc19aebf5e6d3c"
+    },
+    {
+      "bytes": 445486,
+      "path": "data/train/p9e/numina-001883-0001-786af59e370aff6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "786af59e370aff6b71a8f9e52d9548414210ad7bdfde804adf77cb1a40688308"
+    },
+    {
+      "bytes": 297500,
+      "path": "data/internal_test/p9e/numina-001883-0000-d5f9e5288bf997ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d5f9e5288bf997ab9bc05e4e6abd8e760253ef5b47d3ff07dfb34f32bc30da3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001884.json b/manifests/batches/numina/001884.json
index e76d256521923b76a95608ea750406d5de05d8a3..b79664ce247b29ccb14d6153e545606327b7d53b 100644
--- a/manifests/batches/numina/001884.json
+++ b/manifests/batches/numina/001884.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001884",
   "batch_fingerprint": "759c4bdcc11cce9fedfa1445a5f1771b11ffc0a9d2f8daa78c81c8d54a3a4fd5",
   "evidence": {
@@ -19,83 +18,84 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "numina:1d99af92-c32d-5a57-ab23-507128ff5989",
+    "numina:5eff96a2-a0a9-5050-9c38-25d4e744c770",
+    "numina:8e1340b7-786b-5f4f-94bb-21b3165d930c",
+    "numina:bd17070d-0258-5f92-be2c-0feaf1461115",
+    "numina:c88716ef-f8f8-56de-82bf-b3a490da18c8"
+  ],
+  "proof_keys": [
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009420.lean\",\"f3f80ddab61358176572b0a0b936679ee9d2fe552655eee8aea9f75a2c5f96a6\",0,\"algebra_9029\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009421.lean\",\"77280e2fbdae55dd53998dd84688ab7356fc60eaaffdd9d5cad42d6a46f36e26\",0,\"algebra_25173\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009422.lean\",\"4e68d33e582abb4ce8632b4d461628089fe4b722edc07a157e140b3229fd33ab\",0,\"algebra_9094\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009423.lean\",\"3c3ca9b9c28eb996c6adff62494902c7442dfaa83d5a9d2f6591e6a96222c3e3\",0,\"algebra_176790\"]",
+    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009424.lean\",\"f2dd5b4e831f9c18b0a085cc98b41717f266d78e6277fa758d57957783c969f6\",1,\"algebra_9032_2\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/numina-001884-0000-834c7b21e0c4f709.parquet",
-      "sha256": "834c7b21e0c4f7099c5bc61089328cfd003a6607e8a3fb083b1bb55b5f5213bd",
       "bytes": 305981,
+      "path": "data/train/p5c/numina-001884-0000-834c7b21e0c4f709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 28,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "834c7b21e0c4f7099c5bc61089328cfd003a6607e8a3fb083b1bb55b5f5213bd"
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-      "path": "data/train/numina-001884-0001-d6e0df0e2998c502.parquet",
-      "sha256": "d6e0df0e2998c50265e450e62dded6c18c7ab23ee0dcad39654c676f879f49e9",
       "bytes": 1267766,
+      "path": "data/train/p5c/numina-001884-0001-d6e0df0e2998c502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
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-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "d6e0df0e2998c50265e450e62dded6c18c7ab23ee0dcad39654c676f879f49e9"
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-      "sha256": "3fadbaf6fa24ac36aae4daa2abc5df9e98c33d2929ab72baa2499777ce79e0d7",
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-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
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       "bytes": 671451,
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       "rows": 19,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
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     },
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-      "path": "data/train/numina-001884-0004-795f48d52453c8ac.parquet",
-      "sha256": "795f48d52453c8acae1b8ca8000a1dd86c89b51d884b2064229e8129737c3622",
       "bytes": 584730,
+      "path": "data/train/p5c/numina-001884-0004-795f48d52453c8ac.parquet",
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       "rows": 42,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "795f48d52453c8acae1b8ca8000a1dd86c89b51d884b2064229e8129737c3622"
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-      "sha256": "bf730b9a3b4dc2bf757d0b88edcf13d841c9525b6aade69a47136dc4dd684005",
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+      "path": "data/train/p5c/numina-001884-0005-bf730b9a3b4dc2bf.parquet",
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       "rows": 8,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "bf730b9a3b4dc2bf757d0b88edcf13d841c9525b6aade69a47136dc4dd684005"
     },
     {
-      "path": "data/train/numina-001884-0006-7104b8c31908ddd8.parquet",
-      "sha256": "7104b8c31908ddd8bbd6de6a387b8c0928ddb32b2faeed470223b07bddee2dd6",
       "bytes": 759094,
+      "path": "data/train/p5c/numina-001884-0006-7104b8c31908ddd8.parquet",
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       "rows": 13,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "7104b8c31908ddd8bbd6de6a387b8c0928ddb32b2faeed470223b07bddee2dd6"
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     {
-      "path": "data/train/numina-001884-0007-134c9bc1eb8ae4a2.parquet",
-      "sha256": "134c9bc1eb8ae4a22fed2cc844c2ed0a96f1d26eddff2bf6fc6514bb18183a59",
       "bytes": 182768,
+      "path": "data/train/p5c/numina-001884-0007-134c9bc1eb8ae4a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "134c9bc1eb8ae4a22fed2cc844c2ed0a96f1d26eddff2bf6fc6514bb18183a59"
     },
     {
-      "path": "data/dev/numina-001884-0000-0eacb428af0c305d.parquet",
-      "sha256": "0eacb428af0c305dd7c6dc4c1c10c16d0927dc5992945bb08d3b77b1979ccfdd",
       "bytes": 48252,
+      "path": "data/dev/p5c/numina-001884-0000-0eacb428af0c305d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "83ba8a2605486833651edbbb25700a914bf7f192"
+      "sha256": "0eacb428af0c305dd7c6dc4c1c10c16d0927dc5992945bb08d3b77b1979ccfdd"
     }
-  ],
-  "proof_ids": [
-    "numina:1d99af92-c32d-5a57-ab23-507128ff5989",
-    "numina:5eff96a2-a0a9-5050-9c38-25d4e744c770",
-    "numina:8e1340b7-786b-5f4f-94bb-21b3165d930c",
-    "numina:bd17070d-0258-5f92-be2c-0feaf1461115",
-    "numina:c88716ef-f8f8-56de-82bf-b3a490da18c8"
-  ],
-  "proof_keys": [
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009420.lean\",\"f3f80ddab61358176572b0a0b936679ee9d2fe552655eee8aea9f75a2c5f96a6\",0,\"algebra_9029\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009421.lean\",\"77280e2fbdae55dd53998dd84688ab7356fc60eaaffdd9d5cad42d6a46f36e26\",0,\"algebra_25173\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009422.lean\",\"4e68d33e582abb4ce8632b4d461628089fe4b722edc07a157e140b3229fd33ab\",0,\"algebra_9094\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009423.lean\",\"3c3ca9b9c28eb996c6adff62494902c7442dfaa83d5a9d2f6591e6a96222c3e3\",0,\"algebra_176790\"]",
-    "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009424.lean\",\"f2dd5b4e831f9c18b0a085cc98b41717f266d78e6277fa758d57957783c969f6\",1,\"algebra_9032_2\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001885.json b/manifests/batches/numina/001885.json
index 4102e98faa92c0e9b23488b88fcd06213b246322..81ebab7e74273f8d7743fc9a0e03cada059c89f4 100644
--- a/manifests/batches/numina/001885.json
+++ b/manifests/batches/numina/001885.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001885",
   "batch_fingerprint": "255e35876463b6c1ea313ee22e82f3588bcf782d300e88131231b91a75c461c0",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001885-0000-f73b6383376263c4.parquet",
-      "sha256": "f73b6383376263c480e1a7c4c6d8cf56b779b3c3711a0bf200bb192e99afedf1",
-      "bytes": 193994,
-      "rows": 16,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/numina-001885-0000-236bf69a3c6cfde4.parquet",
-      "sha256": "236bf69a3c6cfde42f81c61ead33e31fa5cb1636a58d85c91dc04266b5e8cf9a",
-      "bytes": 45133,
-      "rows": 11,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:087abd10-ebd9-58b6-9d2a-e451799b94cc",
     "numina:326a8dc3-3e58-5de0-a14f-93c07d3900a3",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009427.lean\",\"fc59ae8e4c66efa6ef46f9a81d4f97378d89b63d64ba182e05a5bd3b3daee97d\",0,\"number_theory_4488\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009428.lean\",\"e84a92f22c3cfba5535285c90ccf757031e0f05cf8ca59b6ae81caa185427ae7\",0,\"number_theory_259662\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009429.lean\",\"4cf838b74926bc9d3773e612be6403d361366b7d49217ae51f7315220060970c\",0,\"algebra_95797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193994,
+      "path": "data/train/pc1/numina-001885-0000-f73b6383376263c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f73b6383376263c480e1a7c4c6d8cf56b779b3c3711a0bf200bb192e99afedf1"
+    },
+    {
+      "bytes": 45133,
+      "path": "data/dev/pc1/numina-001885-0000-236bf69a3c6cfde4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "236bf69a3c6cfde42f81c61ead33e31fa5cb1636a58d85c91dc04266b5e8cf9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001886.json b/manifests/batches/numina/001886.json
index dd92c823e1515c59b42ab12e28383f5afaae92ff..d77a595639c353863e88c48a237aef71e7299a24 100644
--- a/manifests/batches/numina/001886.json
+++ b/manifests/batches/numina/001886.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001886",
   "batch_fingerprint": "41f35da549eb2ac4caffde37002603fe64445786321618d2c51e4458fda83140",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001886-0000-6f8073d1ffd2839d.parquet",
-      "sha256": "6f8073d1ffd2839d846535bc5b8bbc286442344de6260576319c5e471f5a1813",
-      "bytes": 117661,
-      "rows": 25,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    },
-    {
-      "path": "data/dev/numina-001886-0000-44ada1a94b3c7e86.parquet",
-      "sha256": "44ada1a94b3c7e86b813986ef46e945d16bd959e2137fda44da2e3d9ca41fab8",
-      "bytes": 62579,
-      "rows": 5,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:41e91fd1-7790-52c3-b8da-27cfbf560b9c",
     "numina:70d2a8c0-76c0-5c9b-a44e-11b5e1db3e17",
@@ -47,5 +31,21 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009432.lean\",\"c77d20557549e0aa7e8d1a2590b80ab6fd6d8256279a4ae33f39ed3099ce6a75\",0,\"number_theory_15780\"]",
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+  ],
+  "shards": [
+    {
+      "bytes": 117661,
+      "path": "data/train/pa8/numina-001886-0000-6f8073d1ffd2839d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "6f8073d1ffd2839d846535bc5b8bbc286442344de6260576319c5e471f5a1813"
+    },
+    {
+      "bytes": 62579,
+      "path": "data/dev/pa8/numina-001886-0000-44ada1a94b3c7e86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "44ada1a94b3c7e86b813986ef46e945d16bd959e2137fda44da2e3d9ca41fab8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001887.json b/manifests/batches/numina/001887.json
index 64f9936fe36cda59fccb763576d5f946ec495d2a..ca6ab6cc2b063603040f9d24949668d2affd8959 100644
--- a/manifests/batches/numina/001887.json
+++ b/manifests/batches/numina/001887.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001887",
   "batch_fingerprint": "0373c0b7610f83375e393842572b6071285230d955c277793c74a7aa73e2d62f",
   "evidence": {
@@ -18,15 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001887-0000-f86d716bf5a6d263.parquet",
-      "sha256": "f86d716bf5a6d263ed0b2a06e3e23c0b9233c2bc8d643f00d27ca08cbc913328",
-      "bytes": 195804,
-      "rows": 28,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:188591c0-81a9-5a73-8228-c64422fe067c",
     "numina:1c26ce14-4a24-5f7d-ad7e-ff5207cbb2f3",
@@ -40,5 +31,14 @@
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009437.lean\",\"8528053fedd2ef43dd89dbc3d28d5e7bb41aacfa513ce624122f0e9139ba6b6b\",0,\"algebra_95809\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009438.lean\",\"9bfa43ed44b843050401fc6433ea775aed77e7b1d1f48d5eeb37694e19978d9c\",0,\"algebra_610867\"]",
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009439.lean\",\"0e43155158db24908b69bbae6455c308077a7585be42ba00af7ab512daf5175a\",0,\"inequalities_280602\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195804,
+      "path": "data/train/pbd/numina-001887-0000-f86d716bf5a6d263.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f86d716bf5a6d263ed0b2a06e3e23c0b9233c2bc8d643f00d27ca08cbc913328"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/numina/001888.json b/manifests/batches/numina/001888.json
index 633c9e65fd68a1824f7dc9a86ba8d8cb351d1659..735bcee33c090b7ecab2e3bf5245aa5c5689dcb1 100644
--- a/manifests/batches/numina/001888.json
+++ b/manifests/batches/numina/001888.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "numina/001888",
   "batch_fingerprint": "c559ff12d2410e2986a5408a312284d71b30e01753bec4915e6e44b9fc30ee0c",
   "evidence": {
@@ -18,19 +17,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/numina-001888-0000-7a4122285b6768d5.parquet",
-      "sha256": "7a4122285b6768d54995ca760aa4a00903abdb16676ce0f318d02157ae93fb6b",
-      "bytes": 25870,
-      "rows": 1,
-      "revision": "a3dfdfaf7734608294f60486447e293afb848d97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "numina:ff426e34-a777-5f0f-8858-fce4a2d88704"
   ],
   "proof_keys": [
     "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_009440.lean\",\"95756e2a763c6c7a5f970692d9040f815e5bae428e2021290b592ee3edce876a\",0,\"number_theory_4655\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 25870,
+      "path": "data/train/p7c/numina-001888-0000-7a4122285b6768d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "7a4122285b6768d54995ca760aa4a00903abdb16676ce0f318d02157ae93fb6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/000001.json b/manifests/batches/oproofs/000001.json
index eec9d52557df7e905cb06800f67c4319ad384ff0..fee949c8abaa4a6027f84c30b5fd493bb8a37d24 100644
--- a/manifests/batches/oproofs/000001.json
+++ b/manifests/batches/oproofs/000001.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/000001",
   "batch_fingerprint": "99acb12084f403a4608d6800ba9129b48a94163c750125bc3fd39a5b13d20813",
   "evidence": {
@@ -18,22 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-000001-0000-58b35148fbe23744.parquet",
-      "sha256": "58b35148fbe23744886701546af2abd076854495ac69f78e7c0ff8c2cf1d0658",
-      "bytes": 624755,
-      "rows": 24,
-      "revision": "67ce19d805aa9a93bbda932e8f5b26418c1648a0"
-    },
-    {
-      "path": "data/internal_test/oproofs-000001-0000-f580b2a89ea159c2.parquet",
-      "sha256": "f580b2a89ea159c2733b0935a9ae8f5192a96a8a8657f76dfd841817cfeee3a5",
-      "bytes": 216574,
-      "rows": 3,
-      "revision": "67ce19d805aa9a93bbda932e8f5b26418c1648a0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:4",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:5",
@@ -45,5 +29,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00000005.lean\",\"bbcf722de38a8a23709936eb1b0dcfbc52f0f624ebb6261b0e1e3a307eeb9f53\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00000006.lean\",\"f7ab240f10fbf21a42f0219d6d7a3707b2ef1bc3dfed19a532190e1b7680c648\",0,\"sqrt_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00000007.lean\",\"84ece501e72a6447fb18fd7fff8b4736fb3b50f3bc3190c1efdb2281cef4ecfe\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624755,
+      "path": "data/train/p61/oproofs-000001-0000-58b35148fbe23744.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "58b35148fbe23744886701546af2abd076854495ac69f78e7c0ff8c2cf1d0658"
+    },
+    {
+      "bytes": 216574,
+      "path": "data/internal_test/p61/oproofs-000001-0000-f580b2a89ea159c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f580b2a89ea159c2733b0935a9ae8f5192a96a8a8657f76dfd841817cfeee3a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000000-n000004.json b/manifests/batches/oproofs/s00000-r00000000-n000004.json
index fe3dfd2ba13f1f46ad9cfb4278aca6defaf1f1b3..da05ffc3a4ff9e0a6da5ba5964f55fac31fb410f 100644
--- a/manifests/batches/oproofs/s00000-r00000000-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000000-n000004",
   "batch_fingerprint": "52258f800c814488e0dd647ee1f03b0cee81e1d7e137e0d9df3dd0cf07be107f",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000000-n000004-0000-5e11a501760d11b8.parquet",
-      "sha256": "5e11a501760d11b80191c6c9eeba2d75ca4ae311fb0119feb1b034ff018fbd6b",
-      "bytes": 258863,
-      "rows": 9,
-      "revision": "7fa612b2abad812ce32949d08e5f3482006547ad"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000000-n000004-0000-6a919363c01fa949.parquet",
-      "sha256": "6a919363c01fa949d6f0c4b8742359e17bee142d61576c951e8ddd17774b990a",
-      "bytes": 100459,
-      "rows": 4,
-      "revision": "7fa612b2abad812ce32949d08e5f3482006547ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:0",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:1",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000001.lean\",\"7e3f3773fa117034a714309acfa4e29a9a49b25180e9d4d3c4b0e5cb6d64b05a\",0,\"qven\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000002.lean\",\"ceab4ae67d0934ec3e65b810ddfb3b593f8b3c6007946b8c43d170544be57a46\",0,\"algebra_486790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000003.lean\",\"a7c025373af0c4ad552e39d8bcd6268c5c599c8c26f8ad7ceab252cd24c67bb1\",0,\"number_theory_10368\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258863,
+      "path": "data/train/p9b/oproofs-s00000-r00000000-n000004-0000-5e11a501760d11b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5e11a501760d11b80191c6c9eeba2d75ca4ae311fb0119feb1b034ff018fbd6b"
+    },
+    {
+      "bytes": 100459,
+      "path": "data/internal_test/p9b/oproofs-s00000-r00000000-n000004-0000-6a919363c01fa949.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a919363c01fa949d6f0c4b8742359e17bee142d61576c951e8ddd17774b990a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000004-n000004.json b/manifests/batches/oproofs/s00000-r00000004-n000004.json
index 26c789dcbe73edaab528a4aa230f91900e76aa6b..25621d959b5e74b92a318734c7efb12d8d97762f 100644
--- a/manifests/batches/oproofs/s00000-r00000004-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000004-n000004",
   "batch_fingerprint": "e2ec0f274a457b073c7aa90bea4d6bcdaa89af37ba7a459ae3ffcc067950c634",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000004-n000004-0000-2fc188365af5a1eb.parquet",
-      "sha256": "2fc188365af5a1eba53d3a5f366f0975e89b00dd1ed316bbd230529f4bee71c2",
-      "bytes": 625864,
-      "rows": 24,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000004-n000004-0000-1fcccd9dabe1a180.parquet",
-      "sha256": "1fcccd9dabe1a1803df1ccb37195efe144ee5b72f5c12f701f6203bac1b8c96c",
-      "bytes": 214399,
-      "rows": 3,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:4",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:5",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000005.lean\",\"bbcf722de38a8a23709936eb1b0dcfbc52f0f624ebb6261b0e1e3a307eeb9f53\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000006.lean\",\"f7ab240f10fbf21a42f0219d6d7a3707b2ef1bc3dfed19a532190e1b7680c648\",0,\"sqrt_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000007.lean\",\"84ece501e72a6447fb18fd7fff8b4736fb3b50f3bc3190c1efdb2281cef4ecfe\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625864,
+      "path": "data/train/pe4/oproofs-s00000-r00000004-n000004-0000-2fc188365af5a1eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2fc188365af5a1eba53d3a5f366f0975e89b00dd1ed316bbd230529f4bee71c2"
+    },
+    {
+      "bytes": 214399,
+      "path": "data/internal_test/pe4/oproofs-s00000-r00000004-n000004-0000-1fcccd9dabe1a180.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1fcccd9dabe1a1803df1ccb37195efe144ee5b72f5c12f701f6203bac1b8c96c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000008-n000004.json b/manifests/batches/oproofs/s00000-r00000008-n000004.json
index 4255ee037e6c4152df28b025e72496b82450d758..92190d27d968cfe7479ab14bb66786beb6e10333 100644
--- a/manifests/batches/oproofs/s00000-r00000008-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000008-n000004",
   "batch_fingerprint": "d9261764e9aafc83721f9b4b4baad4a91fc09732ce8a66156f4aee5185a141b5",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000008-n000004-0000-4b1f43c6e70f2e34.parquet",
-      "sha256": "4b1f43c6e70f2e349af09042f5d96cedfc1273594ed7c5ae4cb20e61ad121a66",
-      "bytes": 299656,
-      "rows": 18,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:10",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:11",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000009.lean\",\"7c518aed9f936a13ae9d81f8a5c72ddee75214e1f7a537b76170b3a0e674af60\",0,\"algebra_473608\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000010.lean\",\"5005ef6a597a037b71eb3e78661135f6349e548b4aceaf96f730001c72fa8688\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000011.lean\",\"ca7718f8d71cc624f516479375f4fefb0c6f6fe2e80b72ee57537aadf548eb93\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299656,
+      "path": "data/train/p13/oproofs-s00000-r00000008-n000004-0000-4b1f43c6e70f2e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4b1f43c6e70f2e349af09042f5d96cedfc1273594ed7c5ae4cb20e61ad121a66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000012-n000004.json b/manifests/batches/oproofs/s00000-r00000012-n000004.json
index 56686e9a430e18a2504deed2db9a1008984cf85c..cc21de43426d85f559809d4c9dd7b3f50fd839b1 100644
--- a/manifests/batches/oproofs/s00000-r00000012-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000012-n000004",
   "batch_fingerprint": "9ed506f4080d219b750849a6d96abea6ab70f22abb55ac4657d4797b81536e4e",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000012-n000004-0000-7b01d05d897143cd.parquet",
-      "sha256": "7b01d05d897143cdbf489bacedf78c0e6f501781e59cb758e457958b739d1e11",
-      "bytes": 759937,
-      "rows": 19,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:12",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:13",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000013.lean\",\"6222ffafaef19d44aca25678be96e834effa34bad8bf60e2941980fec9a351ee\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000014.lean\",\"c95f830c25a5fff5a9ecf87cac1a85d5074316974783794c5f760992e525bf32\",0,\"algebra_456789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000015.lean\",\"ed9c75d21a612bb00cafe2fb1020ff9e2ef66710d44e2d0434f13575bdd6c5c4\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 759937,
+      "path": "data/train/pee/oproofs-s00000-r00000012-n000004-0000-7b01d05d897143cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7b01d05d897143cdbf489bacedf78c0e6f501781e59cb758e457958b739d1e11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000016-n000004.json b/manifests/batches/oproofs/s00000-r00000016-n000004.json
index 8c8c7186c1273e3d3b000f1b730526337916d684..279d3a04bd492706caf4a11cc1f96a9021ef3c82 100644
--- a/manifests/batches/oproofs/s00000-r00000016-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000016-n000004",
   "batch_fingerprint": "4744d156e044029a101a2a105c26e54d5c8a41dd53ea4523ec44c0acd592772d",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000016-n000004-0000-bda10b5157a33415.parquet",
-      "sha256": "bda10b5157a33415a031c50d70a5d97b9e928862df9e6f4718f6903779559bdb",
-      "bytes": 871063,
-      "rows": 22,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    },
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000016-n000004-0001-07fce54821d2bad8.parquet",
-      "sha256": "07fce54821d2bad8f62ba36b20530615fe9e0c9f71c4210e38aa955b4ee49ff1",
-      "bytes": 470244,
-      "rows": 5,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:16",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:17",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000017.lean\",\"b58747c6ae092e55f2ebfc91f667462187d6f4db2613901c7a3cc01fb58d7238\",0,\"Real.num\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000018.lean\",\"0306bed3af2548d0a72a48e6ae545f22c4375e31a53e3dff202df9d04c0df1f8\",0,\"algebra_486565\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000019.lean\",\"7701923e18587d8ac986765d045f8b0e3c3de6b0b65176b9383f2a625fc847aa\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 871063,
+      "path": "data/train/p71/oproofs-s00000-r00000016-n000004-0000-bda10b5157a33415.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "bda10b5157a33415a031c50d70a5d97b9e928862df9e6f4718f6903779559bdb"
+    },
+    {
+      "bytes": 470244,
+      "path": "data/train/p71/oproofs-s00000-r00000016-n000004-0001-07fce54821d2bad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "07fce54821d2bad8f62ba36b20530615fe9e0c9f71c4210e38aa955b4ee49ff1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000020-n000004.json b/manifests/batches/oproofs/s00000-r00000020-n000004.json
index e75e6a8b3553696c1991f232dbf1bb0eef5ed6c5..de2470afabbbbff10712615700066f0097cc7381 100644
--- a/manifests/batches/oproofs/s00000-r00000020-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000020-n000004",
   "batch_fingerprint": "8b1ca74bc4d366534113f30f8ec298893b6a09f2921f4e9aa5590c9ab0682061",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000020-n000004-0000-ed00c00a1cc93bbb.parquet",
-      "sha256": "ed00c00a1cc93bbbdeb60385bca4ea1877a1fceb4a7ffd4c15b53b72b2e0de43",
-      "bytes": 328227,
-      "rows": 16,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/dev/oproofs/s00000/r000000/oproofs-s00000-r00000020-n000004-0000-8eaeda0034b21487.parquet",
-      "sha256": "8eaeda0034b214878de1489bc6e4b763f74386e51186f50367c5f4b78d3ec104",
-      "bytes": 87136,
-      "rows": 3,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:20",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:21",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000021.lean\",\"3b738739b4482e42eebd3ebd45d98fec5a6b39b63ea128883a10c18d2c317493\",0,\"taylor_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000022.lean\",\"169b1c001faf28dd6bacbdbf84a8a5234d13e1028894f506c6ddcd0d4d157d5d\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000023.lean\",\"b458551648799246230df2c5f975ef69eed7fbadee4f0482375f8809cdd9d9a3\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328227,
+      "path": "data/train/pdb/oproofs-s00000-r00000020-n000004-0000-ed00c00a1cc93bbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ed00c00a1cc93bbbdeb60385bca4ea1877a1fceb4a7ffd4c15b53b72b2e0de43"
+    },
+    {
+      "bytes": 87136,
+      "path": "data/dev/pdb/oproofs-s00000-r00000020-n000004-0000-8eaeda0034b21487.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8eaeda0034b214878de1489bc6e4b763f74386e51186f50367c5f4b78d3ec104"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000024-n000004.json b/manifests/batches/oproofs/s00000-r00000024-n000004.json
index 478bcb0d4f4f3589e7cbb376189c524ccf00f098..66ef5b6a274f8b79c6eeab7771a538213017aaf6 100644
--- a/manifests/batches/oproofs/s00000-r00000024-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000024-n000004",
   "batch_fingerprint": "3ddbb22bd14d3196b42d8939ee61c8e4c7ca005a45b0d839ae1807a8b25b166b",
   "evidence": {
@@ -20,46 +19,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:24",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:25",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:26",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:27"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000024.lean\",\"0dd6934523327f0f8a942aac7f7b4b033a27869fc7fca17f423e0eff498a6789\",0,\"algebra_460086\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000025.lean\",\"f6a18e7baf8ea429d4c0295506b2861b8f0ff1cf725f5c4349b5b25c616c6818\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000026.lean\",\"ffc34516e816e4be351961fc60a0dea3b54e01fbe088d77c61c09d270753e583\",0,\"min_value\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000027.lean\",\"27db45cdc6962b12b812815cc012007db171f082d7acbbedacaa8025f6b5150d\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000024-n000004-0000-7bdc4ba8df68abb7.parquet",
-      "sha256": "7bdc4ba8df68abb73a4094d5dfb40fdbbd3b44eac0d3196dd65796b70553fc6b",
       "bytes": 500437,
+      "path": "data/train/p0e/oproofs-s00000-r00000024-n000004-0000-7bdc4ba8df68abb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "7bdc4ba8df68abb73a4094d5dfb40fdbbd3b44eac0d3196dd65796b70553fc6b"
     },
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000024-n000004-0001-290250e6340da3f2.parquet",
-      "sha256": "290250e6340da3f2f695f642598a75c348dc301641f909ffbdb853aca8b17056",
       "bytes": 504171,
+      "path": "data/train/p0e/oproofs-s00000-r00000024-n000004-0001-290250e6340da3f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "290250e6340da3f2f695f642598a75c348dc301641f909ffbdb853aca8b17056"
     },
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000024-n000004-0002-031bdff9a4c705cd.parquet",
-      "sha256": "031bdff9a4c705cd32e80bd9146e9686563e365d95138f90998908543aa476c5",
       "bytes": 1178670,
+      "path": "data/train/p0e/oproofs-s00000-r00000024-n000004-0002-031bdff9a4c705cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "031bdff9a4c705cd32e80bd9146e9686563e365d95138f90998908543aa476c5"
     },
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000024-n000004-0003-1ee64feccd999625.parquet",
-      "sha256": "1ee64feccd99962599266bdceaf5d483c0d6d62d06639df3ab313ff675a19cec",
       "bytes": 133299,
+      "path": "data/train/p0e/oproofs-s00000-r00000024-n000004-0003-1ee64feccd999625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "1ee64feccd99962599266bdceaf5d483c0d6d62d06639df3ab313ff675a19cec"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:24",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:25",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:26",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:27"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000024.lean\",\"0dd6934523327f0f8a942aac7f7b4b033a27869fc7fca17f423e0eff498a6789\",0,\"algebra_460086\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000025.lean\",\"f6a18e7baf8ea429d4c0295506b2861b8f0ff1cf725f5c4349b5b25c616c6818\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000026.lean\",\"ffc34516e816e4be351961fc60a0dea3b54e01fbe088d77c61c09d270753e583\",0,\"min_value\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000027.lean\",\"27db45cdc6962b12b812815cc012007db171f082d7acbbedacaa8025f6b5150d\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000028-n000004.json b/manifests/batches/oproofs/s00000-r00000028-n000004.json
index e2855db625ba89bd583ca28ec92247341477e977..b775d006a3205395d3109e0c1819325694ffca88 100644
--- a/manifests/batches/oproofs/s00000-r00000028-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000028-n000004",
   "batch_fingerprint": "beab6c4045cf81a8eb1f0b71f05af0ad6cc88db53bcf69e5ef3122d4c0a699c9",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000028-n000004-0000-aa4e55baf37a6645.parquet",
-      "sha256": "aa4e55baf37a6645eafa6a042524d7a8c9891b8bb29e99dbf991e37f379fad04",
-      "bytes": 197777,
-      "rows": 12,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000028-n000004-0000-c49b7fba363c8de7.parquet",
-      "sha256": "c49b7fba363c8de7bd76b6a4e82e2779c4693d90de7d688a2f1b603cc6ede985",
-      "bytes": 127006,
-      "rows": 4,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:28",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:29",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000029.lean\",\"fa57fe0f2eef354ab32e4bb2a7a8886e1a3477adc63e66fac4bbd34a7c114bed\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000030.lean\",\"69343204901505011895d79ff2cf39b147073ff7f3feb9ac6a31fdbf84299e4e\",0,\"PolynomialX\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000031.lean\",\"078652245c997536724f1bc12f5b59ee42941d7b65e01b423acac1171c127d4a\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197777,
+      "path": "data/train/pcb/oproofs-s00000-r00000028-n000004-0000-aa4e55baf37a6645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "aa4e55baf37a6645eafa6a042524d7a8c9891b8bb29e99dbf991e37f379fad04"
+    },
+    {
+      "bytes": 127006,
+      "path": "data/internal_test/pcb/oproofs-s00000-r00000028-n000004-0000-c49b7fba363c8de7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c49b7fba363c8de7bd76b6a4e82e2779c4693d90de7d688a2f1b603cc6ede985"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000032-n000004.json b/manifests/batches/oproofs/s00000-r00000032-n000004.json
index 093fac6db63b57a509d46b8191d86705ac7ffe1d..422fbfa0e1342bcd378471bc227aa96548852a0f 100644
--- a/manifests/batches/oproofs/s00000-r00000032-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000032-n000004",
   "batch_fingerprint": "75e247b476199c4e6c926dde2ac3c9f72377efbe633569f34afe7d9228a77772",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000032-n000004-0000-1f1ae581ac2d2e48.parquet",
-      "sha256": "1f1ae581ac2d2e48b759e4639fd65f9bab03208caae5b5993ff797b15fa51444",
-      "bytes": 592677,
-      "rows": 23,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/dev/oproofs/s00000/r000000/oproofs-s00000-r00000032-n000004-0000-5bab5c3904ec9e2b.parquet",
-      "sha256": "5bab5c3904ec9e2b074b3aea2e5bfd52eb60cc618bf46779976d8aacb16e2e6c",
-      "bytes": 190240,
-      "rows": 3,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:32",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:33",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000033.lean\",\"1de92ceb425f00b2bf54dce8ea4c2efad93c93f52194797dfdc30e05c126ddd0\",0,\"RealInt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000034.lean\",\"0be2bda7cd965459c9f12afa37a51dd9173a26dfc35c4ceded136482fac8a45b\",0,\"algebra_498496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000035.lean\",\"3696d7c68b6a68a3c38dfb8a8b2fb8e962b38aa394df6a333bb2cc6cee29b3a1\",0,\"Qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 592677,
+      "path": "data/train/p90/oproofs-s00000-r00000032-n000004-0000-1f1ae581ac2d2e48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "1f1ae581ac2d2e48b759e4639fd65f9bab03208caae5b5993ff797b15fa51444"
+    },
+    {
+      "bytes": 190240,
+      "path": "data/dev/p90/oproofs-s00000-r00000032-n000004-0000-5bab5c3904ec9e2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bab5c3904ec9e2b074b3aea2e5bfd52eb60cc618bf46779976d8aacb16e2e6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000036-n000004.json b/manifests/batches/oproofs/s00000-r00000036-n000004.json
index 8f0f4cda869502eaf6e31e90e2dd48fa2ddf3939..41f9e11f84e95ad1be32d28d6361733d08ef27ab 100644
--- a/manifests/batches/oproofs/s00000-r00000036-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000036-n000004",
   "batch_fingerprint": "7dde89f1c72e42daf16608c1a6c763b6c597aff3ed446fe1b773bb8c7420f230",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000036-n000004-0000-2c333127f8a2e6bb.parquet",
-      "sha256": "2c333127f8a2e6bb73aa172cfdd397864af4ce18fc58d791e8df803cb4d030a1",
-      "bytes": 541099,
-      "rows": 16,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/dev/oproofs/s00000/r000000/oproofs-s00000-r00000036-n000004-0000-b2ce3402b38015c5.parquet",
-      "sha256": "b2ce3402b38015c52562fb56448969c7c50221c57b44f9539f5c368e67cfa9c5",
-      "bytes": 86455,
-      "rows": 8,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:36",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:37",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000037.lean\",\"aaff863fb898adb122bc12ebab2c48487de68865cecfd7da9734ab853a282da7\",0,\"Complex.exp_eq_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000038.lean\",\"5e4c7e7a79f5a1f825af0661d5f8d480377651ca4fa86c4112c27774aa36296e\",0,\"solution_set\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000039.lean\",\"5e504b9c2dfe058df4ce8a3d55845d52784343d0cf696238d2a5d4bf0635951c\",0,\"quadratic_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541099,
+      "path": "data/train/ped/oproofs-s00000-r00000036-n000004-0000-2c333127f8a2e6bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2c333127f8a2e6bb73aa172cfdd397864af4ce18fc58d791e8df803cb4d030a1"
+    },
+    {
+      "bytes": 86455,
+      "path": "data/dev/ped/oproofs-s00000-r00000036-n000004-0000-b2ce3402b38015c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b2ce3402b38015c52562fb56448969c7c50221c57b44f9539f5c368e67cfa9c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000040-n000004.json b/manifests/batches/oproofs/s00000-r00000040-n000004.json
index 049cdb961e3b76d85c2b2d7458fdb22410bcde24..f6d1d5e8a422b7d6df27cb8c4ce7d0a7c8da5856 100644
--- a/manifests/batches/oproofs/s00000-r00000040-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000040-n000004",
   "batch_fingerprint": "1f349fd21f821ec0ae63c4354544033730343c0b2eab66e0540aab6c80ec4bea",
   "evidence": {
@@ -42,15 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000040-n000004-0000-19c7f424a5744b47.parquet",
-      "sha256": "19c7f424a5744b47f36c6762512d585cf5d17037a31a2a070e96999180d85c75",
-      "bytes": 722435,
-      "rows": 17,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:40",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:41",
@@ -60,5 +51,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000040.lean\",\"73fd616349ceb7630ace24e53d59487a6fabe039be62273c5c7d7334a9219459\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000041.lean\",\"02dc7e5c50286873202b0d0655bbb7333072079e49edbe612412686311e84d59\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000043.lean\",\"3fb17b76aa15ea323be0e91a5dbea327b844dff23bd2cf201632e15db7d321fe\",0,\"number_theory_7885\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 722435,
+      "path": "data/train/p48/oproofs-s00000-r00000040-n000004-0000-19c7f424a5744b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "19c7f424a5744b47f36c6762512d585cf5d17037a31a2a070e96999180d85c75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000044-n000004.json b/manifests/batches/oproofs/s00000-r00000044-n000004.json
index ebdce690a79a1ca88c8ef3507f7a67772fefba7b..ed25491821967291d1fbbb402dc8050ab297ed4e 100644
--- a/manifests/batches/oproofs/s00000-r00000044-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000044-n000004",
   "batch_fingerprint": "ced8de5e0bd98267b16831f50e8a10f88540179e9dd85dd0718f8e23ffc07ec7",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000044-n000004-0000-aa18fa285b6bbe06.parquet",
-      "sha256": "aa18fa285b6bbe06d4499a53ef3bba170d2021117d05cb315de006e5a78baa43",
-      "bytes": 259059,
-      "rows": 17,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:44",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:45",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000045.lean\",\"92e0665fc539c738ef4b8ca927f5766e8cb80c0a9788efe3e9ee1f8afd015219\",0,\"algebra_46890\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000046.lean\",\"9c291499adaed4979be71fc639d5e1402cd0c230774e0caf805f66614a8d0f55\",0,\"algebra_471802\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000047.lean\",\"31e161588dc94ed7e639ebf4dc553ea2f534777cd48b55fb438376abebdf6c04\",0,\"algebra_578604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259059,
+      "path": "data/train/p4e/oproofs-s00000-r00000044-n000004-0000-aa18fa285b6bbe06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "aa18fa285b6bbe06d4499a53ef3bba170d2021117d05cb315de006e5a78baa43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000048-n000004.json b/manifests/batches/oproofs/s00000-r00000048-n000004.json
index c891b4eef6db08ac3837d89c8e9ee476bb5ceda8..e2c9c0bb761323a1a82ec16e8bfd73479403d38d 100644
--- a/manifests/batches/oproofs/s00000-r00000048-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000048-n000004",
   "batch_fingerprint": "862585fad283fb5ce97cbd88e25749cb017fe3e2b4d49b931b32091c514a1fc0",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000048-n000004-0000-93878e644eefd738.parquet",
-      "sha256": "93878e644eefd73808ed57a13285ba3de3334aa815b710c2eda61fb9901516c9",
-      "bytes": 367954,
-      "rows": 12,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:48",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:49",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000049.lean\",\"d9bb37ca87229aa4fe288a3b7ca3f9b0c3ff0d499f0f5b6a48b57aaad0270bf4\",0,\"algebra_447301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000050.lean\",\"3f71cd5feeb112e83acfff9de7ad90d4ac9d29f9592aa60fefb8f2df4690890e\",0,\"algebra_486791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000051.lean\",\"21692c610d53e2a3cc6882495810fbf0cbef0225c1b780bfb41fc312d44dfa86\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367954,
+      "path": "data/train/pa5/oproofs-s00000-r00000048-n000004-0000-93878e644eefd738.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "93878e644eefd73808ed57a13285ba3de3334aa815b710c2eda61fb9901516c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000052-n000004.json b/manifests/batches/oproofs/s00000-r00000052-n000004.json
index 66e31e70aa6a4b85cf001c78591ce4ac650af857..b1a5df3c3544afaf809e7c1367e061e7d3880489 100644
--- a/manifests/batches/oproofs/s00000-r00000052-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000052-n000004",
   "batch_fingerprint": "7403bfb1a85c8d7f03a5515d529bf3871edd2f806117902b0bdfde057c71add9",
   "evidence": {
@@ -42,22 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000052-n000004-0000-3b9d88cee0025334.parquet",
-      "sha256": "3b9d88cee00253346cbddca9dda2f9a93c4eed03a48e9b387fe18ece4ff2e7bb",
-      "bytes": 153080,
-      "rows": 11,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000052-n000004-0000-b41debeaf7d408ac.parquet",
-      "sha256": "b41debeaf7d408ac0a303d741fb94928016c6edbb039e51dd963c503125c8a19",
-      "bytes": 147901,
-      "rows": 6,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:53",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:54",
@@ -67,5 +51,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000053.lean\",\"d99030b187b3629a90ebdb228fcac821037e7a7a32cf3ca4bca533e1ffc71f8f\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000054.lean\",\"f7784213fc00abbabd9db2d5563fcbf4648ced6a2433a8feeafad799a3198651\",0,\"qwens\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000055.lean\",\"e0dddd57cec5efaead67cf87f51f50022aab6a84af37fcda94bef0b989a7eb9f\",0,\"algebra_436778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153080,
+      "path": "data/train/pf0/oproofs-s00000-r00000052-n000004-0000-3b9d88cee0025334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3b9d88cee00253346cbddca9dda2f9a93c4eed03a48e9b387fe18ece4ff2e7bb"
+    },
+    {
+      "bytes": 147901,
+      "path": "data/internal_test/pf0/oproofs-s00000-r00000052-n000004-0000-b41debeaf7d408ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b41debeaf7d408ac0a303d741fb94928016c6edbb039e51dd963c503125c8a19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000056-n000004.json b/manifests/batches/oproofs/s00000-r00000056-n000004.json
index ae1d0c456eb0725fc5090d8db5a56b8503a315ef..6977e6021992dcf133395dc5df698a1996e37090 100644
--- a/manifests/batches/oproofs/s00000-r00000056-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000056-n000004",
   "batch_fingerprint": "f155a0616b620e5c1437304d7da1dc8a638b7a595d9b95dd27e182f74f813406",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000056-n000004-0000-22a43897afd7d716.parquet",
-      "sha256": "22a43897afd7d716fb26fb84e514b0afaf35089291d4440d411e33da016e0881",
-      "bytes": 690221,
-      "rows": 9,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000056-n000004-0000-269fccb452e145da.parquet",
-      "sha256": "269fccb452e145da3dbd21ff4d0845642311d272fd88d974b9501fb326bad8e0",
-      "bytes": 288309,
-      "rows": 11,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:56",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:57",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000057.lean\",\"1123ce02efb34c4b83f3145ac0c69117a83cad6acb6caedc02beda8f1e8ebcd3\",0,\"Real_only\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000058.lean\",\"8aee9b1fead6d38cedcd17ae54da446ddd25ae2efd2effd6b4a9e1789a03f6bb\",0,\"algebra_490782\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000059.lean\",\"4e76e418b6681eeb4cfb699c35b2a8c18533b52e918fadd37d68df293becaf66\",0,\"q398145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 690221,
+      "path": "data/train/pa4/oproofs-s00000-r00000056-n000004-0000-22a43897afd7d716.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "22a43897afd7d716fb26fb84e514b0afaf35089291d4440d411e33da016e0881"
+    },
+    {
+      "bytes": 288309,
+      "path": "data/internal_test/pa4/oproofs-s00000-r00000056-n000004-0000-269fccb452e145da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "269fccb452e145da3dbd21ff4d0845642311d272fd88d974b9501fb326bad8e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000060-n000004.json b/manifests/batches/oproofs/s00000-r00000060-n000004.json
index 7d4bc0740b5394f2500ec69a3dbdf4f0f8c0624d..2885c8b6c0c9f1a682d5735e055f38d51125e7ae 100644
--- a/manifests/batches/oproofs/s00000-r00000060-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000060-n000004",
   "batch_fingerprint": "5b66b4fe144d15525962b53f2d0626304baa7247b7ca2e415e4b37cc2e4a53eb",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000060-n000004-0000-0f630caca3fe4e43.parquet",
-      "sha256": "0f630caca3fe4e432957d49ec029f7a2d624f1c9c570c05aa9804312d8fce172",
-      "bytes": 1248782,
-      "rows": 19,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:60",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:61",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000061.lean\",\"09fa4fe778bfeda0019a0841b331b1a858164718d4d1f4fc48950443ff218501\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000062.lean\",\"464572c8a83477d08dc5ffa2cfa2995bae4fd36a256dc014c29188da5d3e8915\",0,\"real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000063.lean\",\"fefb280e4caeb77881c9ce7ff6b19beee9ea09e2f23d8905755207f356836b99\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1248782,
+      "path": "data/train/p71/oproofs-s00000-r00000060-n000004-0000-0f630caca3fe4e43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0f630caca3fe4e432957d49ec029f7a2d624f1c9c570c05aa9804312d8fce172"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000064-n000004.json b/manifests/batches/oproofs/s00000-r00000064-n000004.json
index 75653652552e2e53353e2f6c9c85940493b2ad84..812e89a7d4baf08c91f38560827ca31a387b301e 100644
--- a/manifests/batches/oproofs/s00000-r00000064-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000064-n000004",
   "batch_fingerprint": "0085aa7c3b58ee44a3d6517e560459da6ef56925eaffe44e79cbc583c8d11921",
   "evidence": {
@@ -42,15 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000064-n000004-0000-d4b0105b5c3a381b.parquet",
-      "sha256": "d4b0105b5c3a381b17f1450eca7f78b6b9f3ffa0f7ff588652bb12ab7748c977",
-      "bytes": 810610,
-      "rows": 16,
-      "revision": "d8ef21f5019df4b05da99057b8873fa3b8a85807"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:64",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:66",
@@ -60,5 +51,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000064.lean\",\"f9c9bd7cdc2be34487389aecf1b244ebcd013e1f5a1af73a1030109f2595e549\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000066.lean\",\"bf75d002878a706c04667e7f34b3634d871ac7d60f84f6729903bea1f908678f\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000067.lean\",\"820f555eca9688595df919110d6746e1f6268b29cbdf18c9cb68ad826ba19831\",0,\"algebra_480960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 810610,
+      "path": "data/train/p7e/oproofs-s00000-r00000064-n000004-0000-d4b0105b5c3a381b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d4b0105b5c3a381b17f1450eca7f78b6b9f3ffa0f7ff588652bb12ab7748c977"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000068-n000004.json b/manifests/batches/oproofs/s00000-r00000068-n000004.json
index 0028c07ccdb403c1eca66a4065e751b11ec221de..4b19cb28686a3cf9aba1ae1d4b575ae1b8eacc86 100644
--- a/manifests/batches/oproofs/s00000-r00000068-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000068-n000004",
   "batch_fingerprint": "028003dd9d52b4577d3dbee5ade3056924e7cdbd69da99a2a7d16874b2c7b881",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000068-n000004-0000-f4d838ac1f3b1a90.parquet",
-      "sha256": "f4d838ac1f3b1a90bf42867bd81a1b0d2a5edfaeafc30bd02abd7c76f043f923",
-      "bytes": 525880,
-      "rows": 18,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000068-n000004-0000-a27ede2bf94680ac.parquet",
-      "sha256": "a27ede2bf94680ac5490ed3b6e927eb0095bdc368ae8ced5c84a1ed89d943970",
-      "bytes": 68947,
-      "rows": 3,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:68",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:69",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000069.lean\",\"096090871bd67c3c53add59335c128400da0792b935aec1b1d27f8a442e1c23f\",0,\"PolynomialStrictMono\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000070.lean\",\"9745ae4bc8d0966ceac485f57d97939f2028c437f67c40d5322c3ab66e5a850b\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000071.lean\",\"65a6a590d951c85becc9177383315a271eb8aa142fcefdb072cc04785d8bb1e6\",0,\"Real.sqrt7_m_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525880,
+      "path": "data/train/p6a/oproofs-s00000-r00000068-n000004-0000-f4d838ac1f3b1a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f4d838ac1f3b1a90bf42867bd81a1b0d2a5edfaeafc30bd02abd7c76f043f923"
+    },
+    {
+      "bytes": 68947,
+      "path": "data/internal_test/p6a/oproofs-s00000-r00000068-n000004-0000-a27ede2bf94680ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a27ede2bf94680ac5490ed3b6e927eb0095bdc368ae8ced5c84a1ed89d943970"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000072-n000004.json b/manifests/batches/oproofs/s00000-r00000072-n000004.json
index c69f63951f6ed8cb438757756c3c1a8c24a72e92..a6d62826bef09db19fa937cc9be085056c8858d5 100644
--- a/manifests/batches/oproofs/s00000-r00000072-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000072-n000004",
   "batch_fingerprint": "d7eb8cc6ce88e95cf32005df36785b8c160acc8c43e31830b74bf33795a1d7ec",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000072-n000004-0000-30fd251b1e8c4333.parquet",
-      "sha256": "30fd251b1e8c4333fc767e1de278b4e1649acef37c87d377feb26285569a5a0c",
-      "bytes": 302489,
-      "rows": 7,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00000/r000000/oproofs-s00000-r00000072-n000004-0000-5ca92200ee1b2622.parquet",
-      "sha256": "5ca92200ee1b262233536cf42938129d2f4f39f7ea3181f903e334e4e296be69",
-      "bytes": 267185,
-      "rows": 4,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:72",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:73",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000073.lean\",\"359369d8f2429005c4eb66c93dfefe76fb7b3510f0d76d0bc200a3bc3f105a67\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000074.lean\",\"09980c014a995e4f7e74ebce825f2af1dd2227d0a1cd2dfac340234e50eea507\",0,\"sumOfFactors\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000075.lean\",\"100f2048c946f3a2b76d7a55c3818d8df405578162ede7cb22ee21e13ab443bb\",0,\"algebra_468501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302489,
+      "path": "data/train/p58/oproofs-s00000-r00000072-n000004-0000-30fd251b1e8c4333.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "30fd251b1e8c4333fc767e1de278b4e1649acef37c87d377feb26285569a5a0c"
+    },
+    {
+      "bytes": 267185,
+      "path": "data/internal_test/p58/oproofs-s00000-r00000072-n000004-0000-5ca92200ee1b2622.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5ca92200ee1b262233536cf42938129d2f4f39f7ea3181f903e334e4e296be69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000076-n000004.json b/manifests/batches/oproofs/s00000-r00000076-n000004.json
index 86a96ee140cb2344fb1f5ca6819284226f00964d..7d171bbc4fdafd3811f3e378b8b6b0b6f5779f51 100644
--- a/manifests/batches/oproofs/s00000-r00000076-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000076-n000004",
   "batch_fingerprint": "80b817186adff8d2a4dd8136f56d181caa323ce84d88493c16037acbbbaa703f",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000076-n000004-0000-e753237cf9dd5f4c.parquet",
-      "sha256": "e753237cf9dd5f4ce1ebac49639e690dd860c17e551e1caca20f8be092c407f4",
-      "bytes": 805066,
-      "rows": 16,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:76",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:77",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000077.lean\",\"71863a5d2f6282f489bcb91ad072fe33efcc7629e6d9e0c5c88f805d4ea6c510\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000078.lean\",\"0832f7c674ba657fdc5aaada0c511cd5b5c9def5e2718077154382f538f9660b\",0,\"range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000079.lean\",\"822daa71fbfbc4863a3e1bf269ef9a176509757788abe83ca89a5722db906177\",0,\"z\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 805066,
+      "path": "data/train/pb5/oproofs-s00000-r00000076-n000004-0000-e753237cf9dd5f4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e753237cf9dd5f4ce1ebac49639e690dd860c17e551e1caca20f8be092c407f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000080-n000004.json b/manifests/batches/oproofs/s00000-r00000080-n000004.json
index 4c44b0c1f41d282775233837f1e3664d528bf2df..8d04e3eed33b94b4a8a7360b7d612badc474ca6b 100644
--- a/manifests/batches/oproofs/s00000-r00000080-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000080-n000004",
   "batch_fingerprint": "2b26447d429f71786660897c3a30751f1ad7793785583e2de4051904eead07de",
   "evidence": {
@@ -20,39 +19,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:80",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:81",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:82",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:83"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000080.lean\",\"4b6ab0aeea9f68a1572c82b2e270596acf60df19d16e460db1a1b0e19b701eda\",0,\"probability\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000081.lean\",\"663e930b4220bebf24dc4bd5fb30843c70fad3869dfd39a509c836bff696b25f\",0,\"solution_set\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000082.lean\",\"5924f7e6fa0f2c66a78e06e189791c56204a6e1e732242e10c7f51271087e149\",0,\"OddA\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000083.lean\",\"66773ce5055bbce1dcb2c62cc5076050b26e81cea22cef5c55654d7d96c0a73b\",0,\"max_value\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000080-n000004-0000-542a95a470564397.parquet",
-      "sha256": "542a95a470564397c245bf0df7b4a2a68f9ca7eb131632f5721842b3bb3ce1da",
       "bytes": 795764,
+      "path": "data/train/p64/oproofs-s00000-r00000080-n000004-0000-542a95a470564397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
+      "sha256": "542a95a470564397c245bf0df7b4a2a68f9ca7eb131632f5721842b3bb3ce1da"
     },
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000080-n000004-0001-473521eef837c012.parquet",
-      "sha256": "473521eef837c01280342c65965a05d5465b2d26a10f2382442a474ae7849b42",
       "bytes": 168260,
+      "path": "data/train/p64/oproofs-s00000-r00000080-n000004-0001-473521eef837c012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
+      "sha256": "473521eef837c01280342c65965a05d5465b2d26a10f2382442a474ae7849b42"
     },
     {
-      "path": "data/dev/oproofs/s00000/r000000/oproofs-s00000-r00000080-n000004-0000-2084e386c26ae455.parquet",
-      "sha256": "2084e386c26ae4559115e3b2a81c53babce43bdc90e27545bc198b09d1f39c3f",
       "bytes": 64371,
+      "path": "data/dev/p64/oproofs-s00000-r00000080-n000004-0000-2084e386c26ae455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "0ac0ad39b1925394d0f630aa71ca0092a3319c2a"
+      "sha256": "2084e386c26ae4559115e3b2a81c53babce43bdc90e27545bc198b09d1f39c3f"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:80",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:81",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:82",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:83"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000080.lean\",\"4b6ab0aeea9f68a1572c82b2e270596acf60df19d16e460db1a1b0e19b701eda\",0,\"probability\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000081.lean\",\"663e930b4220bebf24dc4bd5fb30843c70fad3869dfd39a509c836bff696b25f\",0,\"solution_set\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000082.lean\",\"5924f7e6fa0f2c66a78e06e189791c56204a6e1e732242e10c7f51271087e149\",0,\"OddA\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000083.lean\",\"66773ce5055bbce1dcb2c62cc5076050b26e81cea22cef5c55654d7d96c0a73b\",0,\"max_value\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000084-n000004.json b/manifests/batches/oproofs/s00000-r00000084-n000004.json
index 4ea6a29547b18e6407b68e01ab258e68cc23004d..a7a2dce5d6b52e21e19cf541937a69285075c8da 100644
--- a/manifests/batches/oproofs/s00000-r00000084-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000084-n000004",
   "batch_fingerprint": "459deb808fcfc6f88557c50f9ed62e2ffe544065298bfed2ff902f13ef9ef098",
   "evidence": {
@@ -42,15 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000084-n000004-0000-0c66486f910c2258.parquet",
-      "sha256": "0c66486f910c2258409a4bc96ed81b340df309203f86632c7c3d0f8aa4348942",
-      "bytes": 528962,
-      "rows": 16,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:85",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:86",
@@ -60,5 +51,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000085.lean\",\"c9b8876ca0a0f9f9b532cd99db29539129804362b66ea427fd4675a3a40ca731\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000086.lean\",\"73a53f1ab4059d621c8f6e99c90729560b4d04e7155c8d1b8717e8b3b9e37627\",0,\"xy\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000087.lean\",\"8aeaaabbbe02f66915fd4ce31cd76297b6b3eb2c593a5eab502512767589398b\",0,\"algebra_460836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528962,
+      "path": "data/train/p5e/oproofs-s00000-r00000084-n000004-0000-0c66486f910c2258.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0c66486f910c2258409a4bc96ed81b340df309203f86632c7c3d0f8aa4348942"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000088-n000004.json b/manifests/batches/oproofs/s00000-r00000088-n000004.json
index 493ccc791129076d94d35b814082447bf95274c2..9e94fccd50d504d5034c3b3780f7d54cfb1fef5a 100644
--- a/manifests/batches/oproofs/s00000-r00000088-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000088-n000004",
   "batch_fingerprint": "a0bb287c84f946e9a96cc3fad309941c8fad1f976a855db9bb849f82d952b2ad",
   "evidence": {
@@ -63,28 +62,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:88",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:91"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000088.lean\",\"cf6f1fbf0939f0ed4d495998a889d5fd175a1c7ac1fe1a44372fb2c84bec8331\",0,\"cycled_sum\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000091.lean\",\"645c4f0a4056258f227dac0341254c48f44d63f7fc2cc369f99b6977d506b753\",0,\"max_value\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000088-n000004-0000-2da09c7c821d5805.parquet",
-      "sha256": "2da09c7c821d5805402f181f9b184116e9e3900019db322db3d6b96f28325565",
       "bytes": 1719392,
+      "path": "data/train/pb6/oproofs-s00000-r00000088-n000004-0000-2da09c7c821d5805.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "2da09c7c821d5805402f181f9b184116e9e3900019db322db3d6b96f28325565"
     },
     {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000088-n000004-0001-b89c46d691df7984.parquet",
-      "sha256": "b89c46d691df79846562cab6624b0fd6191d310ec35d91673a8faabd8b9e2f69",
       "bytes": 275370,
+      "path": "data/train/pb6/oproofs-s00000-r00000088-n000004-0001-b89c46d691df7984.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
+      "sha256": "b89c46d691df79846562cab6624b0fd6191d310ec35d91673a8faabd8b9e2f69"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:88",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:91"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000088.lean\",\"cf6f1fbf0939f0ed4d495998a889d5fd175a1c7ac1fe1a44372fb2c84bec8331\",0,\"cycled_sum\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000091.lean\",\"645c4f0a4056258f227dac0341254c48f44d63f7fc2cc369f99b6977d506b753\",0,\"max_value\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000092-n000004.json b/manifests/batches/oproofs/s00000-r00000092-n000004.json
index f71e25cf91adbb16a798fa9f07497fe204bc5f9d..e42247b25c2220b920abad012507fc41865d26e0 100644
--- a/manifests/batches/oproofs/s00000-r00000092-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000092-n000004",
   "batch_fingerprint": "c13eb9fec20a5348376bd5cf685a7a15d0b01f1bd0c62122b9849527d1b5cf40",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000092-n000004-0000-b82d4f6293b90f32.parquet",
-      "sha256": "b82d4f6293b90f328329f03686821c2781c8aa091e0f728bec1cfe794a6105ad",
-      "bytes": 929127,
-      "rows": 17,
-      "revision": "4ae235a04b2ede7d725fbc1ebd4cfa18f6265068"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:92",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:93",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000093.lean\",\"0774e6a326c565ea3e6e80567ac4395426947ed3f63c52f5ea8a183d1570b4de\",0,\"algebra_568723\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000094.lean\",\"780b052d907bb576c7463321be357347b6e36036584b8eca5a01857211277269\",0,\"algebra_375122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000095.lean\",\"b4902ddc2bbdf936496a7748966d906f10c10bfc5164a70c961b02a9064ff56b\",0,\"prove_inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 929127,
+      "path": "data/train/p58/oproofs-s00000-r00000092-n000004-0000-b82d4f6293b90f32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b82d4f6293b90f328329f03686821c2781c8aa091e0f728bec1cfe794a6105ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00000096-n000004.json b/manifests/batches/oproofs/s00000-r00000096-n000004.json
index 4519eaaeca1ad5d7df9d3e7c3001ffca23bf8b0e..5172b037251d55d8ac5187d72a7ad6e2e91c717b 100644
--- a/manifests/batches/oproofs/s00000-r00000096-n000004.json
+++ b/manifests/batches/oproofs/s00000-r00000096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00000096-n000004",
   "batch_fingerprint": "7b5ed8d671e7a89cf4f1f2f99cdc6142f669b15c616d1b2b7b3959079d6a74c2",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000096-n000004-0000-d384d7e3d1a36f3f.parquet",
-      "sha256": "d384d7e3d1a36f3fee5862d50814190ee94f9101c46b3db5ebb65295ffe04648",
-      "bytes": 1197915,
-      "rows": 8,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
-    },
-    {
-      "path": "data/train/oproofs/s00000/r000000/oproofs-s00000-r00000096-n000004-0001-75207b9929cc83fd.parquet",
-      "sha256": "75207b9929cc83fd397b903c6e423e1ec79067536364a2dbfe732d50be5d5634",
-      "bytes": 312788,
-      "rows": 14,
-      "revision": "828f7f9a170286f6c286d44622589fa9cde3bd38"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:96",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:97",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000097.lean\",\"789d309a5b00b3a35b1fbe0aa9b55f93b4e488dea395819e7adea22720fb28a6\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000098.lean\",\"ee58a8b6fc5a1775ae7fcbb02463f7a77dff9293abc082cd4ae4003fd553a2f8\",0,\"algebra_457824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000099.lean\",\"022ba2a09b0dbbb7781b4c6007fefc9445be9020e737c3893b78c25d0c801386\",0,\"isLeast\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1197915,
+      "path": "data/train/pea/oproofs-s00000-r00000096-n000004-0000-d384d7e3d1a36f3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d384d7e3d1a36f3fee5862d50814190ee94f9101c46b3db5ebb65295ffe04648"
+    },
+    {
+      "bytes": 312788,
+      "path": "data/train/pea/oproofs-s00000-r00000096-n000004-0001-75207b9929cc83fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "75207b9929cc83fd397b903c6e423e1ec79067536364a2dbfe732d50be5d5634"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00000-r00001000-n000008.json b/manifests/batches/oproofs/s00000-r00001000-n000008.json
index 57283798e854dbfea5ce62f5c1c60985be7bff9d..aadcee6c9dcae84a93d11e1338580ddae433d241 100644
--- a/manifests/batches/oproofs/s00000-r00001000-n000008.json
+++ b/manifests/batches/oproofs/s00000-r00001000-n000008.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00000-r00001000-n000008",
   "batch_fingerprint": "c70c44aafcb1d735fcbe1a3578895d92d42158a83426b91af17aab3468b42d48",
   "evidence": {
@@ -18,29 +17,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00000-r00001000-n000008-0000-fce47f6cccd2c9f3.parquet",
-      "sha256": "fce47f6cccd2c9f3c6426f1725abb44677055d88b3212cdcb3bbec4a06956b44",
-      "bytes": 894265,
-      "rows": 30,
-      "revision": "0a1b77d49f68a96a306c515277a20cbf72937cb9"
-    },
-    {
-      "path": "data/train/oproofs-s00000-r00001000-n000008-0001-e3a54ea67ff643dd.parquet",
-      "sha256": "e3a54ea67ff643dd4b43de3304573852f0e759e52176828cb86d863c9ff20676",
-      "bytes": 402169,
-      "rows": 8,
-      "revision": "0a1b77d49f68a96a306c515277a20cbf72937cb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00000-r00001000-n000008-0000-784ba1fed42d3c42.parquet",
-      "sha256": "784ba1fed42d3c42fe8e5736cb1f0e0f58b322c30a2987dde3181e9eddbae158",
-      "bytes": 346063,
-      "rows": 5,
-      "revision": "0a1b77d49f68a96a306c515277a20cbf72937cb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:1000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:1001",
@@ -60,5 +37,28 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00001005.lean\",\"bf1f340f2a6d43e781d73f01ef676f23449ca34b2089fb566da5f72da09bcba0\",0,\"lean_workbook_plus_25561\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00001006.lean\",\"42463248a5e34322268e95702bb5dec5362683ef48d2bc800a6cd711402013a0\",0,\"lean_workbook_plus_25599\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00000_00001007.lean\",\"c6348acd1efb278e28acfa247cd1be792c836a881aed19180e4a9c7538dbeed1\",0,\"lean_workbook_plus_25610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 894265,
+      "path": "data/train/pe8/oproofs-s00000-r00001000-n000008-0000-fce47f6cccd2c9f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "fce47f6cccd2c9f3c6426f1725abb44677055d88b3212cdcb3bbec4a06956b44"
+    },
+    {
+      "bytes": 402169,
+      "path": "data/train/pe8/oproofs-s00000-r00001000-n000008-0001-e3a54ea67ff643dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e3a54ea67ff643dd4b43de3304573852f0e759e52176828cb86d863c9ff20676"
+    },
+    {
+      "bytes": 346063,
+      "path": "data/dev/pe8/oproofs-s00000-r00001000-n000008-0000-784ba1fed42d3c42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "784ba1fed42d3c42fe8e5736cb1f0e0f58b322c30a2987dde3181e9eddbae158"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000000-n000004.json b/manifests/batches/oproofs/s00001-r00000000-n000004.json
index 232eb6d1a71ca9221e73618fdead2bb7935f8756..262d5702af243c951fe2792151316f6e7d5c5ba2 100644
--- a/manifests/batches/oproofs/s00001-r00000000-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000000-n000004",
   "batch_fingerprint": "b6b62c7899205eddb170dac9f867d9a253b1ba497e32e2879a9f4fbd37975bca",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00001-r00000000-n000004-0000-ee1f724afb6a71fb.parquet",
-      "sha256": "ee1f724afb6a71fb47977deba0bf06dd1dc0eb05f1a555d26786f41ecb4f900a",
-      "bytes": 265139,
-      "rows": 15,
-      "revision": "8452a32bfd8f39a6cf87cb9e5aa18b05ecf6819b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00001-r00000000-n000004-0000-330b3d92bff718cb.parquet",
-      "sha256": "330b3d92bff718cbb887f9b6c38ad64c6d30d05ff3a50eaeb8ee5848c77d78d2",
-      "bytes": 38637,
-      "rows": 3,
-      "revision": "8452a32bfd8f39a6cf87cb9e5aa18b05ecf6819b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:0",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:1",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000001.lean\",\"9ea2da9ee773f7bd3d68c3496e49324a56c6ff831e71e819f4f1790b09f78932\",0,\"lean_workbook_plus_43316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000002.lean\",\"c78c3552c0af799a94a13d732f270d579a0754f78956132fecbc5dd14b80612b\",0,\"lean_workbook_plus_7938\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000003.lean\",\"3b0bd3c1947ad424090224b485b54a501d7efe12b4119453b641375d226caed6\",0,\"lean_workbook_plus_33371\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265139,
+      "path": "data/train/pb8/oproofs-s00001-r00000000-n000004-0000-ee1f724afb6a71fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ee1f724afb6a71fb47977deba0bf06dd1dc0eb05f1a555d26786f41ecb4f900a"
+    },
+    {
+      "bytes": 38637,
+      "path": "data/internal_test/pb8/oproofs-s00001-r00000000-n000004-0000-330b3d92bff718cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "330b3d92bff718cbb887f9b6c38ad64c6d30d05ff3a50eaeb8ee5848c77d78d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000004-n000004.json b/manifests/batches/oproofs/s00001-r00000004-n000004.json
index c730404d7099961080bf3cbc1bd3dbd4d1436628..596da262549e5eb1e1695405d9439ad8c0f8d355 100644
--- a/manifests/batches/oproofs/s00001-r00000004-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000004-n000004",
   "batch_fingerprint": "f45f8b4d7f255223f430219e93369063a68c409ad5a2e24e388e70484bc4a42f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00001-r00000004-n000004-0000-5ab55e0c750ddf16.parquet",
-      "sha256": "5ab55e0c750ddf16aec9695e3356c037daf8e6bb7af7bc43ee8daf3eb0d48220",
-      "bytes": 655076,
-      "rows": 16,
-      "revision": "d353b52eed56a153baa3347eb05afb88bc15546d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:4",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:5",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000005.lean\",\"e4e1e3291cd14de9f67163b0e3f22877419a069128a258d9b6468fd2784f1f21\",0,\"lean_workbook_plus_32986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000006.lean\",\"4792b730ef5f3d01c2b19c28675d22d8b63a22cfa496d45d459ce73b15ca3b06\",0,\"lean_workbook_plus_43290\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/OProofs_00001_00000007.lean\",\"b6c04845e183853264aceafaa472954fc2675c0bbeabee7abe79aa645bb9abbf\",0,\"lean_workbook_plus_71299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 655076,
+      "path": "data/train/pdc/oproofs-s00001-r00000004-n000004-0000-5ab55e0c750ddf16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5ab55e0c750ddf16aec9695e3356c037daf8e6bb7af7bc43ee8daf3eb0d48220"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000008-n000004.json b/manifests/batches/oproofs/s00001-r00000008-n000004.json
index 972ba7874974fe027cd7834df6613f08986ff20b..cceedcab68c8883b4275548608c004ec42508368 100644
--- a/manifests/batches/oproofs/s00001-r00000008-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000008-n000004",
   "batch_fingerprint": "abe4a88a519bbe603f57cbff1e0e3e695b09c2a4387f5aa5f0be0ded466d3b10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000008-n000004-0000-c74b03ea983a115f.parquet",
-      "sha256": "c74b03ea983a115ff0a5771eda3e94ef5232087f671e2ce5b62ad3f37acea6af",
-      "bytes": 70841,
-      "rows": 10,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000008-n000004-0000-0fa867e305746044.parquet",
-      "sha256": "0fa867e30574604445d318be4ac49689acad2dd6c2b24fcf90e2edf286fe6f9c",
-      "bytes": 130298,
-      "rows": 4,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:10",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:11",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000009.lean\",\"ddc6ecf2986c6395e11577157319ab20b1a71f632d8f84dccf4b29969da371b1\",0,\"lean_workbook_plus_41621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000010.lean\",\"9abe093d2e744d7ff580577756cde320532aae0d96f2f88c0dae75abfd2b964d\",0,\"lean_workbook_plus_45074\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000011.lean\",\"b56b0e9aa17174fcb0c8cd84c5459a0297cb718e14d69550a06b3b2b53cd7fd6\",0,\"lean_workbook_plus_57414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70841,
+      "path": "data/train/pb5/oproofs-s00001-r00000008-n000004-0000-c74b03ea983a115f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c74b03ea983a115ff0a5771eda3e94ef5232087f671e2ce5b62ad3f37acea6af"
+    },
+    {
+      "bytes": 130298,
+      "path": "data/internal_test/pb5/oproofs-s00001-r00000008-n000004-0000-0fa867e305746044.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0fa867e30574604445d318be4ac49689acad2dd6c2b24fcf90e2edf286fe6f9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000012-n000004.json b/manifests/batches/oproofs/s00001-r00000012-n000004.json
index 4e879d22b4f928877a518002a9641a4315817f81..34b6e7f65f9417ee3d9d3edbff9f085015e7403d 100644
--- a/manifests/batches/oproofs/s00001-r00000012-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000012-n000004",
   "batch_fingerprint": "a42ea76006a2d2d6f87b01f02d5117eabadf9fc9421c40e77e916df965f439f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000012-n000004-0000-ca7f6595d6df6b37.parquet",
-      "sha256": "ca7f6595d6df6b37a60668739aeb0119ebaf74f595bcd9e448d23ed502dfe623",
-      "bytes": 288703,
-      "rows": 17,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000012-n000004-0000-9c25d76827b33950.parquet",
-      "sha256": "9c25d76827b339505e3e1d12e9e6889dc10375fb2c0907ea7d72ea8fa486e213",
-      "bytes": 52153,
-      "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:12",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:13",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000013.lean\",\"2e49cb3420650028ba7fe69388db33c537fb58db92aeb1f4520f87c1168cec51\",0,\"lean_workbook_plus_15291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000014.lean\",\"aaa5fdb70204c1434d50f1c606149024a4a4d28b98a183f5f93e69f79de632bf\",0,\"lean_workbook_54748\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000015.lean\",\"220d207036ce6c4913f34326e795b62bef1da49bf6486fb82a5d9fffaf115574\",0,\"lean_workbook_plus_74713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288703,
+      "path": "data/train/p02/oproofs-s00001-r00000012-n000004-0000-ca7f6595d6df6b37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ca7f6595d6df6b37a60668739aeb0119ebaf74f595bcd9e448d23ed502dfe623"
+    },
+    {
+      "bytes": 52153,
+      "path": "data/internal_test/p02/oproofs-s00001-r00000012-n000004-0000-9c25d76827b33950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9c25d76827b339505e3e1d12e9e6889dc10375fb2c0907ea7d72ea8fa486e213"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000016-n000004.json b/manifests/batches/oproofs/s00001-r00000016-n000004.json
index 71ce9a60da31cadc1ff652bfe9e8d3d8c4613115..ad7b5aa5a525ba8edc5b6aca51401bce1ea7892b 100644
--- a/manifests/batches/oproofs/s00001-r00000016-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000016-n000004",
   "batch_fingerprint": "49fccbc06b5d2aeb1a86df3cea6a879f89ef4fe216bded59b50d128217e69992",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000016-n000004-0000-9da72ef1421e5b03.parquet",
-      "sha256": "9da72ef1421e5b0307b03182b7defee0356ca52220106a6739f251900f077af8",
-      "bytes": 275838,
-      "rows": 18,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:16",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:17",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000017.lean\",\"57534731ae3e06e5503c4ee2df9b2073022b966356cc8890e99716c89c1a6f7b\",0,\"lean_workbook_plus_79747\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000018.lean\",\"4edc37d15f50b2e67f92d547fab5cccd5ddcf852f59ce54eb6320bfe47f5fb6c\",0,\"lean_workbook_plus_45719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000019.lean\",\"93cf3d53674172074427c12f5a2ca8201b0e9909f6d7aa78e3c5a81ec0617ed0\",0,\"lean_workbook_plus_35595\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275838,
+      "path": "data/train/p42/oproofs-s00001-r00000016-n000004-0000-9da72ef1421e5b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9da72ef1421e5b0307b03182b7defee0356ca52220106a6739f251900f077af8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000020-n000004.json b/manifests/batches/oproofs/s00001-r00000020-n000004.json
index 1507efacd74fecad1d41a226f314a13e38174bfd..ec71a35e09187684ed14707a88812da6845028fc 100644
--- a/manifests/batches/oproofs/s00001-r00000020-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000020-n000004",
   "batch_fingerprint": "928592a59d1e6809ca7e6dabcd70e315b40b2cc907c6e280a237888f789efc56",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000020-n000004-0000-4d9f856d9cc4bc06.parquet",
-      "sha256": "4d9f856d9cc4bc06c09f2c8da2445de9c8743f035f03c334c906934d657c4178",
-      "bytes": 118619,
-      "rows": 17,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:20",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:21",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000021.lean\",\"2bab0c897453d3cb1856a27f46d9c0dfab89a032dd5920e509beca53a55db1a5\",0,\"lean_workbook_plus_38874\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000022.lean\",\"bcdaba6ff8c8f01b9ae57ee3bc51fad8d28853490a10df3bc1e7f996c9c87729\",0,\"lean_workbook_plus_12100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000023.lean\",\"8b37cf1123738871c3c827bcd0d1a8484b01c00be484370523881392fe509dd3\",0,\"lean_workbook_plus_72635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118619,
+      "path": "data/train/p3f/oproofs-s00001-r00000020-n000004-0000-4d9f856d9cc4bc06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4d9f856d9cc4bc06c09f2c8da2445de9c8743f035f03c334c906934d657c4178"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000024-n000004.json b/manifests/batches/oproofs/s00001-r00000024-n000004.json
index 98e0c4a19366418851da218751afe1ac29192c41..5d4cb6f11e8127d698045f03c41cf96bcb1ed546 100644
--- a/manifests/batches/oproofs/s00001-r00000024-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000024-n000004",
   "batch_fingerprint": "721efbe858695279216e1a4ded20aa2a69e4dd48635246043a192ea56fb029b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000024-n000004-0000-01084ec28da855a5.parquet",
-      "sha256": "01084ec28da855a5b5e3fd6fb13880e8fa3f72e93102eb02b14a2bbcbe64e895",
-      "bytes": 648416,
-      "rows": 17,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:24",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:25",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000025.lean\",\"3635322e356eb46d29b598299b93d6bc20c5231549f38c0538a38185f7e261c6\",0,\"lean_workbook_plus_6061\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000026.lean\",\"7f65c649369e5349b95294240e20ef48e3fbcd877cdfec58890b05050a09dcc3\",0,\"lean_workbook_plus_64357\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000027.lean\",\"18857fd258630a1bb497a50b3143bc39102c8f7fe02e9b8652edc86f9a9ab90c\",0,\"lean_workbook_plus_78179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 648416,
+      "path": "data/train/pc6/oproofs-s00001-r00000024-n000004-0000-01084ec28da855a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "01084ec28da855a5b5e3fd6fb13880e8fa3f72e93102eb02b14a2bbcbe64e895"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000028-n000004.json b/manifests/batches/oproofs/s00001-r00000028-n000004.json
index 6b080c733205eb32fbd900f8ca9c338e6dc828b9..1cc209d34b437b54bb0af71dd3c77f906668c987 100644
--- a/manifests/batches/oproofs/s00001-r00000028-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000028-n000004",
   "batch_fingerprint": "ec478d6e61e19507e66506f943d41e009a28c647eb2c744130ef4e79d80b3942",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000028-n000004-0000-b3fd8f3e732d622f.parquet",
-      "sha256": "b3fd8f3e732d622fec53182cd5d4a2e5a4b8c38b71f7d43eab7712daf473abf3",
-      "bytes": 344644,
-      "rows": 17,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000028-n000004-0000-c3de6837b12905bb.parquet",
-      "sha256": "c3de6837b12905bba04e2ce6bf825c8c7aa0e4ac22d71802a6b59086229bb952",
-      "bytes": 36020,
-      "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:28",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:29",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000029.lean\",\"950c6832788e99e9da00d1f7e41f2e847a1382afb0235d0855d787d7bd657d9b\",0,\"lean_workbook_43040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000030.lean\",\"fa654b6255ef54ac2e3b3d751a185507b19fd098bccefbe86bbd0b0747ae1b61\",0,\"lean_workbook_plus_26595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000031.lean\",\"59caaba2d8d5048d151c04f940f63991ef27434e73c17d5c1fc61d6307dd312c\",0,\"lean_workbook_plus_64118\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344644,
+      "path": "data/train/p53/oproofs-s00001-r00000028-n000004-0000-b3fd8f3e732d622f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b3fd8f3e732d622fec53182cd5d4a2e5a4b8c38b71f7d43eab7712daf473abf3"
+    },
+    {
+      "bytes": 36020,
+      "path": "data/dev/p53/oproofs-s00001-r00000028-n000004-0000-c3de6837b12905bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3de6837b12905bba04e2ce6bf825c8c7aa0e4ac22d71802a6b59086229bb952"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000032-n000004.json b/manifests/batches/oproofs/s00001-r00000032-n000004.json
index 6f510a3e1f5b42862ee0a09603e9b3093bd41643..ebd6893dff3bacbfb9817257fda6ca0771045d91 100644
--- a/manifests/batches/oproofs/s00001-r00000032-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000032-n000004",
   "batch_fingerprint": "18a8f20c3c9abf627cfeb076cd1b4d484fa5ee945183e533643be71615209c38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000032-n000004-0000-c6ac6783e6707d70.parquet",
-      "sha256": "c6ac6783e6707d70d610d398390efacf35e89dbc1eefadd600cbd1623fec0499",
-      "bytes": 79242,
-      "rows": 8,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000032-n000004-0000-8276d0f3234116c0.parquet",
-      "sha256": "8276d0f3234116c0cdf8322d41648b370d9b742e72b6b510c05a85e9853d7191",
-      "bytes": 92954,
-      "rows": 5,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:32",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:33",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000033.lean\",\"02f8a57d4dd49fa7f24debfb3a36fdb135ec4277d62242dafadc8696cd6b0ff2\",0,\"lean_workbook_23031\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000034.lean\",\"6e7eea3191edef324437f3e6ac888e7e63da69a4efb2f416b9d0ee6b69ea9945\",0,\"lean_workbook_plus_31616\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000035.lean\",\"bd4eb9f03743dc13b687dbc5aa2541e635eca8a7e5148f5e0dd98a99336db84b\",0,\"circle_tangency_radius\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79242,
+      "path": "data/train/pbd/oproofs-s00001-r00000032-n000004-0000-c6ac6783e6707d70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c6ac6783e6707d70d610d398390efacf35e89dbc1eefadd600cbd1623fec0499"
+    },
+    {
+      "bytes": 92954,
+      "path": "data/internal_test/pbd/oproofs-s00001-r00000032-n000004-0000-8276d0f3234116c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8276d0f3234116c0cdf8322d41648b370d9b742e72b6b510c05a85e9853d7191"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000036-n000004.json b/manifests/batches/oproofs/s00001-r00000036-n000004.json
index 2ada408d166ccc6ba85c4d197449ae67718d5901..17f264e24a81f48186366f8d62a14c60aa012f96 100644
--- a/manifests/batches/oproofs/s00001-r00000036-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000036-n000004",
   "batch_fingerprint": "d3567732abbd25c8e9222ffd8b9022f0fda59e8769fe28eb3278cc292eaad4bc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000036-n000004-0000-6dde302a9ed1c8fa.parquet",
-      "sha256": "6dde302a9ed1c8fa4a5aaee0eb37ede9e14eda793ce2028fefde67f326559435",
-      "bytes": 434701,
-      "rows": 26,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:36",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000037.lean\",\"e34342168550216c732243b8b20d1438b51d08cd3e0d975987da38a24da6051f\",0,\"lean_workbook_plus_1461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000038.lean\",\"01a6e13dffc71fc4d562012a63bafa5b8d19d02bdd5f95b91d4af36687ff6012\",0,\"gain_percent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000039.lean\",\"dad993aed3244a394664f705e2d5bcf3c60799c9a6b48ed06293c6096e1b33c4\",0,\"library_books_after_transactions\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434701,
+      "path": "data/train/pb8/oproofs-s00001-r00000036-n000004-0000-6dde302a9ed1c8fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "6dde302a9ed1c8fa4a5aaee0eb37ede9e14eda793ce2028fefde67f326559435"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000040-n000004.json b/manifests/batches/oproofs/s00001-r00000040-n000004.json
index c8078cf98991d2327d5168c347ee2f838e26b299..01065c319cda21ccd1a566acfef189674cb18a23 100644
--- a/manifests/batches/oproofs/s00001-r00000040-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000040-n000004",
   "batch_fingerprint": "a5d4a566aa87c34788e69db15bbc9efd31447cd7bca3c098757eb3a9942f27eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000040-n000004-0000-35cda05b2831094b.parquet",
-      "sha256": "35cda05b2831094bc70c917bff8776b03f1d78e4e60e1dff8e63536f64ffe1d8",
-      "bytes": 164001,
-      "rows": 19,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:40",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:41",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000041.lean\",\"70d4021b5d9a95e44c4d2502a7e1f565b6c8e8cd4f0fb64ca7a5c56e22b455a7\",0,\"zero_in_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000042.lean\",\"6af535ef8e3298f4ba3a3c93a648b8b78182267d4ab68b974f6cab52ec0f6b7e\",0,\"perimeter_ABCD\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000043.lean\",\"ed6fea5ab9b1f6d4d09845d8e1bd66945495f7e769e8459a0d0aa6b49901417c\",0,\"lean_workbook_plus_64711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164001,
+      "path": "data/train/p9e/oproofs-s00001-r00000040-n000004-0000-35cda05b2831094b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "35cda05b2831094bc70c917bff8776b03f1d78e4e60e1dff8e63536f64ffe1d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000044-n000004.json b/manifests/batches/oproofs/s00001-r00000044-n000004.json
index 0b54469708fa05e92c210c0d2e23272c648b2e0b..862313ac4deb7775792f43fa10732b948612d12b 100644
--- a/manifests/batches/oproofs/s00001-r00000044-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000044-n000004",
   "batch_fingerprint": "145c07a30a03a15d42ca92f5e23e31a4b8176dae2aa22fed2437181d86f4019d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:44",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:45",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:46",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:47"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000044.lean\",\"3cd9004dd25e9478c3c09df97718e39ea0a6cffc40456a1e8bc6955c5af6091b\",0,\"lean_workbook_plus_58728\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000045.lean\",\"7002c67dec3ef889baba7c21837bf8540497e900ef2098ee471a55ca0792c178\",0,\"lean_workbook_plus_5011\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000046.lean\",\"0ec1b32a0258921032f08b5b4fc83643ebb4dc101f42b449f86d240fc08b7318\",0,\"part_D\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000047.lean\",\"b7fbbaf0f9994b17674817bdecd82a1387f3fe1cc8037ecc9e8c0dab36184f1d\",0,\"lean_workbook_plus_74824\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000044-n000004-0000-36f88e22d47caba8.parquet",
-      "sha256": "36f88e22d47caba81304b97f8e0089190a9da74082a19588292f21cf1b9ad619",
       "bytes": 1322066,
+      "path": "data/train/pba/oproofs-s00001-r00000044-n000004-0000-36f88e22d47caba8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
+      "sha256": "36f88e22d47caba81304b97f8e0089190a9da74082a19588292f21cf1b9ad619"
     },
     {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000044-n000004-0000-ee0c0c316251743e.parquet",
-      "sha256": "ee0c0c316251743e06b99913a6128472945c859883d27ed8d9579f9919dcd7c0",
       "bytes": 38237,
+      "path": "data/dev/pba/oproofs-s00001-r00000044-n000004-0000-ee0c0c316251743e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
+      "sha256": "ee0c0c316251743e06b99913a6128472945c859883d27ed8d9579f9919dcd7c0"
     },
     {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000044-n000004-0000-33b6720c774b6e2a.parquet",
-      "sha256": "33b6720c774b6e2a7c8cb0db3b05245e2dda3af7f64f50a2ba4fa01e7a4e60f4",
       "bytes": 63548,
+      "path": "data/internal_test/pba/oproofs-s00001-r00000044-n000004-0000-33b6720c774b6e2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
+      "sha256": "33b6720c774b6e2a7c8cb0db3b05245e2dda3af7f64f50a2ba4fa01e7a4e60f4"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:44",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:45",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:46",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:47"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000044.lean\",\"3cd9004dd25e9478c3c09df97718e39ea0a6cffc40456a1e8bc6955c5af6091b\",0,\"lean_workbook_plus_58728\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000045.lean\",\"7002c67dec3ef889baba7c21837bf8540497e900ef2098ee471a55ca0792c178\",0,\"lean_workbook_plus_5011\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000046.lean\",\"0ec1b32a0258921032f08b5b4fc83643ebb4dc101f42b449f86d240fc08b7318\",0,\"part_D\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000047.lean\",\"b7fbbaf0f9994b17674817bdecd82a1387f3fe1cc8037ecc9e8c0dab36184f1d\",0,\"lean_workbook_plus_74824\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000048-n000004.json b/manifests/batches/oproofs/s00001-r00000048-n000004.json
index fac142b1568dc5a2a9a252e05df7b13acfbdf198..ba10c552779ae20294356ac4152ed8e7b6f1daa9 100644
--- a/manifests/batches/oproofs/s00001-r00000048-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000048-n000004",
   "batch_fingerprint": "7ed17f0c929171b50188b10d6e4f4543c99c50c192cf615ced217db22677a49b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000048-n000004-0000-8d01df056ef82a03.parquet",
-      "sha256": "8d01df056ef82a032b407d9c96c1540af2c09fd2f2150b9e7ab74194a82a74e1",
-      "bytes": 186035,
-      "rows": 19,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000048-n000004-0000-8bdf26109be14ef3.parquet",
-      "sha256": "8bdf26109be14ef3347e1f57e28c806c8c3206740e80b5d8a63a9e7f51d0b8c5",
-      "bytes": 98331,
-      "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:48",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:49",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000049.lean\",\"a58d4f7e3304d006ccc1e9439d3912165633b024b1b7d32ae67dfc7d2371db5c\",0,\"lean_workbook_plus_13162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000050.lean\",\"74b637c273c1fea59941e6c6eb8256cf6d8e987a68e1c51d8cd222610bcf644b\",0,\"lean_workbook_plus_73094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000051.lean\",\"c116a50593d586282a94822a88d770e4c208c3c4ea28b68840be0d9695db8cc9\",0,\"lean_workbook_plus_60569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186035,
+      "path": "data/train/pd2/oproofs-s00001-r00000048-n000004-0000-8d01df056ef82a03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8d01df056ef82a032b407d9c96c1540af2c09fd2f2150b9e7ab74194a82a74e1"
+    },
+    {
+      "bytes": 98331,
+      "path": "data/dev/pd2/oproofs-s00001-r00000048-n000004-0000-8bdf26109be14ef3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8bdf26109be14ef3347e1f57e28c806c8c3206740e80b5d8a63a9e7f51d0b8c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000052-n000004.json b/manifests/batches/oproofs/s00001-r00000052-n000004.json
index a5552bcd151e6c9f3a1fa27abdcd7c6da37dea9f..4f74c97e5fc6c7616412240103e80bded8dde0a5 100644
--- a/manifests/batches/oproofs/s00001-r00000052-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000052-n000004",
   "batch_fingerprint": "89e6188ab790d90b1f37d51fe9c5a57849543595e8840eea0abaaa18f8cbb02c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000052-n000004-0000-c4b85bd4a3840170.parquet",
-      "sha256": "c4b85bd4a384017012f344788264062f2878d4bd2d571807d06a5be1bae434aa",
-      "bytes": 224920,
-      "rows": 15,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000052-n000004-0000-dd9b84e6dfe306eb.parquet",
-      "sha256": "dd9b84e6dfe306ebc2220f182517097138650808e17dce47db34bcfd5a0fa1de",
-      "bytes": 113010,
-      "rows": 10,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:52",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:53",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000053.lean\",\"f17da8b30fe0e2bbbd9d1bfa73bdb2804a504f082092f56833c9951d289f0eba\",0,\"lean_workbook_44488\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000054.lean\",\"9b264bbda836195b15317d26e21f3a4a6e177880c3834d55f1d48c6d274a7bf1\",0,\"lean_workbook_plus_12352\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000055.lean\",\"db9d96bdd50a2b6663f46d24f66fa0e03dc564dc5d72648a9bf8af2049716d17\",0,\"range_of_f_on_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224920,
+      "path": "data/train/p2d/oproofs-s00001-r00000052-n000004-0000-c4b85bd4a3840170.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c4b85bd4a384017012f344788264062f2878d4bd2d571807d06a5be1bae434aa"
+    },
+    {
+      "bytes": 113010,
+      "path": "data/dev/p2d/oproofs-s00001-r00000052-n000004-0000-dd9b84e6dfe306eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "dd9b84e6dfe306ebc2220f182517097138650808e17dce47db34bcfd5a0fa1de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000056-n000004.json b/manifests/batches/oproofs/s00001-r00000056-n000004.json
index df7a94447b0ddd3b54489af7ed58b1d9cc482a33..53edeb9329ece97dc4b45c221e3e3e2086e1237a 100644
--- a/manifests/batches/oproofs/s00001-r00000056-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000056-n000004",
   "batch_fingerprint": "873fba8ba9f5198b571b8e113707ed3a6868d71ae1906f8edb82887072f7b403",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000056-n000004-0000-37862513ce7fa386.parquet",
-      "sha256": "37862513ce7fa386c2b6c0f09c955282d98bef23e033c9ee9e5bf504273fba0a",
-      "bytes": 106201,
-      "rows": 14,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:56",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:57",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000057.lean\",\"501d0f30d00a6e48fe60b6d5b294bfcb0cbdd3c51c7a629313b8f3d47bbb94c9\",0,\"lean_workbook_52972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000058.lean\",\"9345be8d3f64d696858952dce0de64b313dc6290cb5dd0b1236bfcd2269a2290\",0,\"lean_workbook_plus_56479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000059.lean\",\"28b2fbc1a7f3e4d2f8d6948d928caa178b2d6ef25f17ce84d5605ba5e2baff8b\",0,\"lean_workbook_14989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106201,
+      "path": "data/train/pbf/oproofs-s00001-r00000056-n000004-0000-37862513ce7fa386.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "37862513ce7fa386c2b6c0f09c955282d98bef23e033c9ee9e5bf504273fba0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000060-n000004.json b/manifests/batches/oproofs/s00001-r00000060-n000004.json
index 160ac59e61119b1b2caf592852ec75fd0d8c89b4..7fa397e3386ffedf8ce093c96308f2de679e5fd1 100644
--- a/manifests/batches/oproofs/s00001-r00000060-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000060-n000004",
   "batch_fingerprint": "c1577debce9c5d797937c0674ae49e1623da3d7ce3d97a738b694a63413baaa4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000060-n000004-0000-30cdb6a04609030e.parquet",
-      "sha256": "30cdb6a04609030e5968571778da177ebe65ca49416733d8f768b4d7fb87fd78",
-      "bytes": 411687,
-      "rows": 11,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:60",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:61",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000061.lean\",\"0f92993c96f1cfdd93e5777b2a8433557b5d25d77ed3dfe97a2a85b635b6ae8e\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000062.lean\",\"7ac98e1b396e98b06b9bce95b57c21ab257f1589317151fe0465d84077d1e355\",0,\"lean_workbook_plus_73188\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000063.lean\",\"2f473b3691de0a5a8f9af251bcecb7aa31cb06da269d8c40141e5231960fcb36\",0,\"lean_workbook_plus_48456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411687,
+      "path": "data/train/pf5/oproofs-s00001-r00000060-n000004-0000-30cdb6a04609030e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "30cdb6a04609030e5968571778da177ebe65ca49416733d8f768b4d7fb87fd78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000064-n000004.json b/manifests/batches/oproofs/s00001-r00000064-n000004.json
index 146c657d8191538f18d5f57a67f23959d8255253..f0f4e334d05653a6a60225e87aecedefcce6f755 100644
--- a/manifests/batches/oproofs/s00001-r00000064-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000064-n000004",
   "batch_fingerprint": "27fd944a0fd5eba88f08d34510b0f16d51ed591154f3dda7f343192248ee7546",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000064-n000004-0000-4fbe276cffdd6db3.parquet",
-      "sha256": "4fbe276cffdd6db3b98c576829fb320fa75f355ba03bb60e2888ab18151b9e01",
-      "bytes": 184158,
-      "rows": 19,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:64",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:65",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000065.lean\",\"0b0480dd6835daae70f1d866183bf8f58c2a29e8fd3a054bbed345dcd3c7ea4f\",0,\"lean_workbook_plus_34453\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000066.lean\",\"8dda79c459d52343f9565943c7949d93825aebd34560e31be1eea767dc351630\",0,\"lean_workbook_plus_14467\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000067.lean\",\"c5e39785ec995c97e7c03a102aa42e12dee378bee7a0944576cad1f1a18fdc54\",0,\"lean_workbook_plus_65451\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184158,
+      "path": "data/train/pf0/oproofs-s00001-r00000064-n000004-0000-4fbe276cffdd6db3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4fbe276cffdd6db3b98c576829fb320fa75f355ba03bb60e2888ab18151b9e01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000068-n000004.json b/manifests/batches/oproofs/s00001-r00000068-n000004.json
index adeca9128b6ed43871fd5b7a7c78aadf215ca7e1..43456a36cd893059c8133ff40c37f0b5613d59fb 100644
--- a/manifests/batches/oproofs/s00001-r00000068-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000068-n000004",
   "batch_fingerprint": "23f1e58ab3a64ccf4b512afcd79de2b67d8f11fac9c51544603fa5b8e1e88fb2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000068-n000004-0000-630d5d92cc8e08d7.parquet",
-      "sha256": "630d5d92cc8e08d7c639155e0bc3a7e0f99302f7717d8b61e69897997218faa7",
-      "bytes": 192536,
-      "rows": 16,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:68",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:69",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000069.lean\",\"cab433d528a255fd0655f3c2c809191532f166511bdeee3b99507d24aedd04f7\",0,\"lean_workbook_plus_14734\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000070.lean\",\"1fa8f9f4000817edb606992b6a7251940364bc12b68f4faf1aa94f9ab2206e82\",0,\"lean_workbook_plus_77613\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000071.lean\",\"e68b3c85a450f435b9b09bbd1f65e4626c63f8f8852d319e4dab038ba76d2f53\",0,\"lean_workbook_plus_82573\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192536,
+      "path": "data/train/p10/oproofs-s00001-r00000068-n000004-0000-630d5d92cc8e08d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "630d5d92cc8e08d7c639155e0bc3a7e0f99302f7717d8b61e69897997218faa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000072-n000004.json b/manifests/batches/oproofs/s00001-r00000072-n000004.json
index ad00ef286a4e02f4a223e1426e9837437cb1d70b..0cd600e7326b87c0567cf98c39a48548043e6019 100644
--- a/manifests/batches/oproofs/s00001-r00000072-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000072-n000004",
   "batch_fingerprint": "9fdbf743b0ed61bc41a366bcc1a6ee8795b155f55199490a3079dbd9a218ce70",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000072-n000004-0000-5aec84b522718e21.parquet",
-      "sha256": "5aec84b522718e217429ba56fb5fac3d164b100ff34241c1527957d1abc0076c",
-      "bytes": 445781,
-      "rows": 17,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000072-n000004-0000-2fbfb5976e7dc71d.parquet",
-      "sha256": "2fbfb5976e7dc71d2d49917afce296711e6f5e4b7cef5d03eccdcee7f2093ad5",
-      "bytes": 60165,
-      "rows": 4,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:72",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:73",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000073.lean\",\"cbb336cefa0bd68f0ddb67542b0d07474ebcaec66942a0bb9684e4e0c71e6cce\",0,\"lean_workbook_plus_19151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000074.lean\",\"7296616514ef76e101fd53ae681a52663232ba0c0f3ee784c311c09cffa3efbd\",0,\"lean_workbook_20685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000075.lean\",\"635e67e0c51782a3a60305242a0326138ccb66e9bfa7abfb410f96dd4c1f85ec\",0,\"lean_workbook_plus_44296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 445781,
+      "path": "data/train/p35/oproofs-s00001-r00000072-n000004-0000-5aec84b522718e21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5aec84b522718e217429ba56fb5fac3d164b100ff34241c1527957d1abc0076c"
+    },
+    {
+      "bytes": 60165,
+      "path": "data/internal_test/p35/oproofs-s00001-r00000072-n000004-0000-2fbfb5976e7dc71d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2fbfb5976e7dc71d2d49917afce296711e6f5e4b7cef5d03eccdcee7f2093ad5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000076-n000004.json b/manifests/batches/oproofs/s00001-r00000076-n000004.json
index 8792e4fe4df0ed751bdc9294efcfcee0e0e189e0..8aa39468896f36be289e2b6d942e4cf23050cc50 100644
--- a/manifests/batches/oproofs/s00001-r00000076-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000076-n000004",
   "batch_fingerprint": "03f76416a4d3111f0022324c0b8aaa4b1cea4a5f4b8d26a9d602512104560a47",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000076-n000004-0000-ae2ae590c5bdbdca.parquet",
-      "sha256": "ae2ae590c5bdbdcacc455241428b148865c6a8db697c755a0d51b00a9dcb83b7",
-      "bytes": 294486,
-      "rows": 15,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:76",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:77",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000077.lean\",\"7fab35fc73fd479d6290feaf3bf53c713428e5e5acf52c286f143c93b0819827\",0,\"lean_workbook_plus_30497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000078.lean\",\"9701c84b17af7d17aee0296a196e140ef10ce8408b5a58dde6baa7100adf7349\",0,\"lean_workbook_plus_21511\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000079.lean\",\"e4584ffdd040629ef28c855d8a275ef01bcebeabc93775c9e630e53d82f04888\",0,\"lean_workbook_56656\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294486,
+      "path": "data/train/peb/oproofs-s00001-r00000076-n000004-0000-ae2ae590c5bdbdca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ae2ae590c5bdbdcacc455241428b148865c6a8db697c755a0d51b00a9dcb83b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000080-n000004.json b/manifests/batches/oproofs/s00001-r00000080-n000004.json
index 631d90ac4374f6c74df2cb5e5365b64b5017552b..d0db711bab1675fe643f6f80153640bf25711e18 100644
--- a/manifests/batches/oproofs/s00001-r00000080-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000080-n000004",
   "batch_fingerprint": "c4d5b6606a40445c7d1d24866e0ef13e0f02cdce9ebab76da5325e9c08664fd1",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000080-n000004-0000-9c5f83f75c28bdf0.parquet",
-      "sha256": "9c5f83f75c28bdf0dcbf7ebbcc94d586c1ba748a6fdce6156579184e524d3456",
-      "bytes": 61557,
-      "rows": 2,
-      "revision": "61ec4498b37e8b71818d14f3e270a8a85867fd24"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000080-n000004-0000-5eddff857b64fe26.parquet",
-      "sha256": "5eddff857b64fe267ef2864a511bf848a87b940aaf603f18140b3ddc80c820e6",
-      "bytes": 1471151,
-      "rows": 10,
-      "revision": "61ec4498b37e8b71818d14f3e270a8a85867fd24"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:80",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:82",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000080.lean\",\"cc6dba539f6d9bddee1adfcd8e4fa97c93dc96c71bff7b12c2878fac0665f056\",0,\"lean_workbook_plus_43316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000082.lean\",\"215b7ca9817fcc6261616bcec51f97b6cc160d58261ca7cb8e311d1e81190b98\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000083.lean\",\"111028e8fad45bd2f5c77f9066a604bde74474b39e1403176e9f713c1ecff6a7\",0,\"lean_workbook_plus_7938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61557,
+      "path": "data/train/p14/oproofs-s00001-r00000080-n000004-0000-9c5f83f75c28bdf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9c5f83f75c28bdf0dcbf7ebbcc94d586c1ba748a6fdce6156579184e524d3456"
+    },
+    {
+      "bytes": 1471151,
+      "path": "data/internal_test/p14/oproofs-s00001-r00000080-n000004-0000-5eddff857b64fe26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5eddff857b64fe267ef2864a511bf848a87b940aaf603f18140b3ddc80c820e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000084-n000004.json b/manifests/batches/oproofs/s00001-r00000084-n000004.json
index 4eec42f00b3f6498ecad4ff969a2bc59c45c8f74..7812e0fa5839558a5e476f7c1f5040db6d9f6c95 100644
--- a/manifests/batches/oproofs/s00001-r00000084-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000084-n000004",
   "batch_fingerprint": "858c19b2ee923c1c247abeb029dfb99bed7cb32d4f5968d140acd4b0a8df0181",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000084-n000004-0000-2b9a5db682b19399.parquet",
-      "sha256": "2b9a5db682b1939908e5c03be53a7c57e18b8353c52421b9c8b1029b20719eb2",
-      "bytes": 299192,
-      "rows": 16,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:84",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:85",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000085.lean\",\"d7792a395b61edefed830b192a7204095ae1da9e410a2dbc2b4e0f9e084fe2b6\",0,\"lean_workbook_plus_50118\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000086.lean\",\"3bd1a03b7de401872f628726acc95f65a78280cae2e795538c7ecf4140ec884a\",0,\"lean_workbook_plus_71299\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000087.lean\",\"d723cafdf21498b141d106169f1a52acf63eb504a4e13bb40a12c92415261667\",0,\"lean_workbook_plus_32986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299192,
+      "path": "data/train/p47/oproofs-s00001-r00000084-n000004-0000-2b9a5db682b19399.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2b9a5db682b1939908e5c03be53a7c57e18b8353c52421b9c8b1029b20719eb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000088-n000004.json b/manifests/batches/oproofs/s00001-r00000088-n000004.json
index 3ebffc53f0abba553ac8d282dfe471c787fb0b9a..631a075915910c7993753ef30b335e2a8bb1e6d8 100644
--- a/manifests/batches/oproofs/s00001-r00000088-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000088-n000004",
   "batch_fingerprint": "aa687a9a5a30cf487a0d0332385b5ff90791a308ace2a4c43ed9b5eaaa1f6552",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000088-n000004-0000-5ac5a6e91ab69d90.parquet",
-      "sha256": "5ac5a6e91ab69d90c172646f4494762222615cacb3af05abfb2de871e32bd233",
-      "bytes": 94870,
-      "rows": 16,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000088-n000004-0000-875814858c178f83.parquet",
-      "sha256": "875814858c178f83b1f9e8ff3c822347c33b0df921a0487b8ff9e6c753c5ea12",
-      "bytes": 51714,
-      "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:88",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:89",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000089.lean\",\"8862e9a3c6526f9060abb223bcbdadd2c041d91f64942b028a071609ed406322\",0,\"lean_workbook_plus_41621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000090.lean\",\"a7fc4c1d26e71e817d2b0e6903bbaa7a6c08e68e5afab1ed8b30abd62b9d14f6\",0,\"lean_workbook_plus_45074\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000091.lean\",\"bd2b54e7ffd36197d4fa7270e6bea1f29d08d64d5510e186e0174c3edefca5ec\",0,\"lean_workbook_plus_26518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94870,
+      "path": "data/train/p45/oproofs-s00001-r00000088-n000004-0000-5ac5a6e91ab69d90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5ac5a6e91ab69d90c172646f4494762222615cacb3af05abfb2de871e32bd233"
+    },
+    {
+      "bytes": 51714,
+      "path": "data/internal_test/p45/oproofs-s00001-r00000088-n000004-0000-875814858c178f83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "875814858c178f83b1f9e8ff3c822347c33b0df921a0487b8ff9e6c753c5ea12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000092-n000004.json b/manifests/batches/oproofs/s00001-r00000092-n000004.json
index 73e8ec017afdd340d8a3150dcbbf0dd3a8f9fd55..e44ec54eef44f452f3cbc56d8698db99845eb9c1 100644
--- a/manifests/batches/oproofs/s00001-r00000092-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000092-n000004",
   "batch_fingerprint": "cf6e49f032b67f19851bc03bc46b28d39ff1e5b9339057b1df9e89c8fb847282",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000092-n000004-0000-cc1997ce24470cfe.parquet",
-      "sha256": "cc1997ce24470cfe1a0659330ff5c2550c2e8f3c069f52d7ecdc38d53060446b",
-      "bytes": 451696,
-      "rows": 19,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:92",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:93",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000093.lean\",\"0f8472c4dc2c760d0ee91f637a074a99b6a3352ff91ce852e7f5398d1654a483\",0,\"lean_workbook_55720\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000094.lean\",\"495647c87c816e414156d0769255dc3b7040ec8caf56e3ba9251ff4efd15b7ff\",0,\"lean_workbook_plus_79747\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000095.lean\",\"823854ca737ec8dc600dcc68ee1f577475495b4d877b07916fb307bcb56474e5\",0,\"lean_workbook_plus_3978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 451696,
+      "path": "data/train/p73/oproofs-s00001-r00000092-n000004-0000-cc1997ce24470cfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "cc1997ce24470cfe1a0659330ff5c2550c2e8f3c069f52d7ecdc38d53060446b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000096-n000004.json b/manifests/batches/oproofs/s00001-r00000096-n000004.json
index 14858c9c0befede152854bd41485992758f311d2..12e871e8a336782ef9a03fb5706931b4b76ebf72 100644
--- a/manifests/batches/oproofs/s00001-r00000096-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000096-n000004",
   "batch_fingerprint": "845b1344e03677600db1e7c7c12dbe3a4cf67e4b2518aec3bbf851508ecbd28d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000096-n000004-0000-1119395f9c5235d7.parquet",
-      "sha256": "1119395f9c5235d76069adddf7078ca3c79accc62f70e830cc6b04f5462f277c",
-      "bytes": 102591,
-      "rows": 9,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:96",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:97",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000097.lean\",\"b08e5d07c1c09cbef0b558748dad70c50c1353ccf49230b30d51077cb3bbef4c\",0,\"lean_workbook_36054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000098.lean\",\"1f2a859b7dfb84205f0bbf859c4618d02fd8dc1c1e20294fb11d5173f7be744e\",0,\"lean_workbook_plus_38874\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000099.lean\",\"c0a14bbbfd2ddf2db80dfd92aa1d5865df1f6f94afeeab4e8042360282f181c7\",0,\"lean_workbook_plus_12100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102591,
+      "path": "data/train/p54/oproofs-s00001-r00000096-n000004-0000-1119395f9c5235d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1119395f9c5235d76069adddf7078ca3c79accc62f70e830cc6b04f5462f277c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000100-n000004.json b/manifests/batches/oproofs/s00001-r00000100-n000004.json
index f038675ceb9ed71d6ec637d15fccef687111288a..3642c930c6e6279e7f8067179e3eb03962213621 100644
--- a/manifests/batches/oproofs/s00001-r00000100-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000100-n000004",
   "batch_fingerprint": "70078e3a6f22f4ae410b4055f1dfdd2cdd0b9b84628f3a6a4fa51d3945c34670",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000100-n000004-0000-a0e2b90a89d9ddea.parquet",
-      "sha256": "a0e2b90a89d9ddeae927d3ce1cb50df59ed1d47745e7b337832cf5e715d68030",
-      "bytes": 112388,
-      "rows": 12,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000100-n000004-0000-c45d0a632525b3e9.parquet",
-      "sha256": "c45d0a632525b3e9988185a77b505df56bac3f2d112a9ff9620c910612bb9cd5",
-      "bytes": 178428,
-      "rows": 4,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000101.lean\",\"a30eaf1e11d452d383cceb9ed7acf45b2be1e3d96deff7a460cd8b12b23b7077\",0,\"lean_workbook_plus_72635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000102.lean\",\"3148d51ba93bcd947fa83e1f732c729ae4cd6be26975b810ababe272eeeaee75\",0,\"lean_workbook_plus_6061\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000103.lean\",\"a419faf0969b8742ab701d1e2414013786456c9848de8075bab20ad5e9c56436\",0,\"lean_workbook_plus_47494\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112388,
+      "path": "data/train/p06/oproofs-s00001-r00000100-n000004-0000-a0e2b90a89d9ddea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a0e2b90a89d9ddeae927d3ce1cb50df59ed1d47745e7b337832cf5e715d68030"
+    },
+    {
+      "bytes": 178428,
+      "path": "data/internal_test/p06/oproofs-s00001-r00000100-n000004-0000-c45d0a632525b3e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c45d0a632525b3e9988185a77b505df56bac3f2d112a9ff9620c910612bb9cd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000104-n000004.json b/manifests/batches/oproofs/s00001-r00000104-n000004.json
index b78601c27936b7798c7779acc6cf5655afd1bf18..2dc5d2071745ec9774602938d6f18b2488e890a2 100644
--- a/manifests/batches/oproofs/s00001-r00000104-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000104-n000004",
   "batch_fingerprint": "0b3511a82e16cc1cd0c6d2e4d1cb8923dcdd7704bf7187d028a5e11ab0b6b3f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000104-n000004-0000-53b78723a6685192.parquet",
-      "sha256": "53b78723a6685192900be203e333b91e404234bd8d9a779b28c666d45b01765d",
-      "bytes": 521145,
-      "rows": 11,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000104-n000004-0000-3dc0cdfd5c379e35.parquet",
-      "sha256": "3dc0cdfd5c379e354a7dd6bc6e896ef870ee5db15f3a1dbeb16e9eda13898a28",
-      "bytes": 35265,
-      "rows": 3,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000105.lean\",\"3d293dec4eef8d12919d841978fd4a5a057d9b98bd6a19748b24124caa72d6f0\",0,\"lean_workbook_43040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000106.lean\",\"5089d767630466a2d247d30be73a077579748bd822c3bd33cda6fe1f3775d786\",0,\"lean_workbook_plus_72511\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000107.lean\",\"14b4af1326fb1609caf17017c39f9eee751280cc7df45479619269b5af176704\",0,\"lean_workbook_plus_1935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521145,
+      "path": "data/train/pcc/oproofs-s00001-r00000104-n000004-0000-53b78723a6685192.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "53b78723a6685192900be203e333b91e404234bd8d9a779b28c666d45b01765d"
+    },
+    {
+      "bytes": 35265,
+      "path": "data/dev/pcc/oproofs-s00001-r00000104-n000004-0000-3dc0cdfd5c379e35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3dc0cdfd5c379e354a7dd6bc6e896ef870ee5db15f3a1dbeb16e9eda13898a28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000108-n000004.json b/manifests/batches/oproofs/s00001-r00000108-n000004.json
index 8a1239f19eba630af34f3afe878d0163e80a5505..1ee37812e1513383341852e8c626503be2e1a712 100644
--- a/manifests/batches/oproofs/s00001-r00000108-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000108-n000004",
   "batch_fingerprint": "1c03dc804860e0600c9f1c6dfcabf42d7101e524e817ed52196726afa59d5c95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000108-n000004-0000-e7bd405305488095.parquet",
-      "sha256": "e7bd4053054880958bda5bcd0f3ea47a687d274880c1512a92854e969400803a",
-      "bytes": 310806,
-      "rows": 18,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000109.lean\",\"d7e77785557a1c5feaba40d1d383642a732300c0f72334e729165af0cedf21ab\",0,\"lean_workbook_plus_64118\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000110.lean\",\"a558e28e708bd42fa09c28c3880b9101b362fc38c50b85a5ce8134affa64ea0c\",0,\"quadratic_max_change\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000111.lean\",\"cd201a4995f0386660f29f722074ecf3eaf5ab9bd4ca1d111aa01f0063a633ab\",0,\"lean_workbook_plus_31616\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310806,
+      "path": "data/train/pe8/oproofs-s00001-r00000108-n000004-0000-e7bd405305488095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e7bd4053054880958bda5bcd0f3ea47a687d274880c1512a92854e969400803a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000112-n000004.json b/manifests/batches/oproofs/s00001-r00000112-n000004.json
index ad4d5635adc53cba1099100c44a3f8caafad550c..5299c17b9f03d223c4f6231e47acd23d050d7f89 100644
--- a/manifests/batches/oproofs/s00001-r00000112-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000112-n000004",
   "batch_fingerprint": "4603733995c2c4b674930f0f9b10310abaa26b3bfb4dabdfa75d355de7654bba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000112-n000004-0000-51bc687bd9058c67.parquet",
-      "sha256": "51bc687bd9058c6757c63b7b3561e50401a4900d2c11295c38c3f4bdeb06860c",
-      "bytes": 200119,
-      "rows": 12,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000112-n000004-0000-7719fb7bde8d2110.parquet",
-      "sha256": "7719fb7bde8d2110d9fa64df83702a22765b2010d2ed89b94ac10687c1adc135",
-      "bytes": 228331,
-      "rows": 6,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000113.lean\",\"bf449260dc8e23209d8ce176ef3931ef7a3aeba7a9120f731b1b1e589fcef26a\",0,\"lean_workbook_plus_46129\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000114.lean\",\"008526918cc68772462711c54c1a276e3d85d2bbd5fc3c376ee813e2534d2171\",0,\"lean_workbook_plus_79381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000115.lean\",\"432cf8a5c1c20f5871b302645e0387e8db9c639f9148b5453f8f1049b5ff8af5\",0,\"lean_workbook_2497\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200119,
+      "path": "data/train/pbe/oproofs-s00001-r00000112-n000004-0000-51bc687bd9058c67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "51bc687bd9058c6757c63b7b3561e50401a4900d2c11295c38c3f4bdeb06860c"
+    },
+    {
+      "bytes": 228331,
+      "path": "data/internal_test/pbe/oproofs-s00001-r00000112-n000004-0000-7719fb7bde8d2110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7719fb7bde8d2110d9fa64df83702a22765b2010d2ed89b94ac10687c1adc135"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000116-n000004.json b/manifests/batches/oproofs/s00001-r00000116-n000004.json
index c3ef930f1ee3a7f120bdebf817210ea0bdb55be9..5529e47c7854e1ba006120c09456544eec4b5739 100644
--- a/manifests/batches/oproofs/s00001-r00000116-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000116-n000004",
   "batch_fingerprint": "fd5f62f3d84138a6e926b472c05204843410878c461aef34b70970a5e0567c27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000116-n000004-0000-ed85618ab3bf464c.parquet",
-      "sha256": "ed85618ab3bf464cf663f0755a7600c007551a2017470bccca3435dba0c550ab",
-      "bytes": 628112,
-      "rows": 14,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    },
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000116-n000004-0001-8b71ba61191a16eb.parquet",
-      "sha256": "8b71ba61191a16eb358687677766e61a179bdb01cad733d4df3f821c4e99e192",
-      "bytes": 394957,
-      "rows": 4,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000117.lean\",\"b0ca394434db12012edad7b7ae6e16459fe9bb35bfa3632ead025b6d9ce0d5d9\",0,\"lean_workbook_26602\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000118.lean\",\"27a1ed98dfb63bf90d713af3afd87f5f5c66640c4a0862af14ce7a1f431a0ff9\",0,\"lean_workbook_plus_52929\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000119.lean\",\"6cfd342e1c12c7e5e4e1bc95033d00dc1675a5464e9a90603d532b21e7f39d3d\",0,\"lean_workbook_plus_15354\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 628112,
+      "path": "data/train/p0d/oproofs-s00001-r00000116-n000004-0000-ed85618ab3bf464c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ed85618ab3bf464cf663f0755a7600c007551a2017470bccca3435dba0c550ab"
+    },
+    {
+      "bytes": 394957,
+      "path": "data/train/p0d/oproofs-s00001-r00000116-n000004-0001-8b71ba61191a16eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8b71ba61191a16eb358687677766e61a179bdb01cad733d4df3f821c4e99e192"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000120-n000004.json b/manifests/batches/oproofs/s00001-r00000120-n000004.json
index c361ecaa34f40c2a7cce8e65d0a0f06941662efc..e89b85ec8b32a8c3f58110f86e5fef4653f95dba 100644
--- a/manifests/batches/oproofs/s00001-r00000120-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000120-n000004",
   "batch_fingerprint": "d28e92007ef2396129894fadb16620e630ef6d48e06da5275e66d0f611931c0d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000120-n000004-0000-115dd48bddbfa5d5.parquet",
-      "sha256": "115dd48bddbfa5d5d8ac67c5b216d11a836a028c0a24ee516daf36c2fbb2b2ca",
-      "bytes": 594255,
-      "rows": 28,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000120-n000004-0000-dcdd0356b722cebd.parquet",
-      "sha256": "dcdd0356b722cebdbd63491695929719f5678ea7b8fc70ec810e1d6eabfbe610",
-      "bytes": 39511,
-      "rows": 3,
-      "revision": "08bdc61208a59e11878f869ab71c97e80d088ec5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000121.lean\",\"ef0f4dff4a7e66a352ced78ae2e088156a5d92178d1b8395224320ab060de9c0\",0,\"gain_percent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000122.lean\",\"e24ebce1594c0f3b93434385a501d1c52cf33cdc79b86c45d0414287efeea998\",0,\"lean_workbook_plus_64711\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000123.lean\",\"ea6fc784ab213e9cea0d94fef5ce3b7d6f0d8b6794fbcb1e4cfc6aaed40acee8\",0,\"lean_workbook_plus_58728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 594255,
+      "path": "data/train/p93/oproofs-s00001-r00000120-n000004-0000-115dd48bddbfa5d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "115dd48bddbfa5d5d8ac67c5b216d11a836a028c0a24ee516daf36c2fbb2b2ca"
+    },
+    {
+      "bytes": 39511,
+      "path": "data/dev/p93/oproofs-s00001-r00000120-n000004-0000-dcdd0356b722cebd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dcdd0356b722cebdbd63491695929719f5678ea7b8fc70ec810e1d6eabfbe610"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000124-n000004.json b/manifests/batches/oproofs/s00001-r00000124-n000004.json
index 4033f8a79583f0a2b124a601d3b16b3c29fc5ddb..03dec0a9ff048c64ce42296f633766a8fb33ad13 100644
--- a/manifests/batches/oproofs/s00001-r00000124-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000124-n000004",
   "batch_fingerprint": "ee01e0c75657dfc2f6b84848f5cd5fc90cbf958521a5ac08a5769f0671b0dc66",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000124-n000004-0000-756fb818bd81583c.parquet",
-      "sha256": "756fb818bd81583c12792819d104e0e177aec729ac57b6ead82d58b2241972bf",
-      "bytes": 236009,
-      "rows": 23,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000125.lean\",\"a3de63b05b6201ae9f09f38466c414d960396d0550455c63025273b07a8410ef\",0,\"zero_in_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000126.lean\",\"3e7c95f314a5a32daa886f6a1b30f26ea944d41474015da1476c3e077a51f63d\",0,\"perimeter_ABCD\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000127.lean\",\"b84618c6b42dac898c8d2d550aed422cfb45566a313d3f3edfcee06775370f67\",0,\"email_difference_percentage\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236009,
+      "path": "data/train/pa7/oproofs-s00001-r00000124-n000004-0000-756fb818bd81583c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "756fb818bd81583c12792819d104e0e177aec729ac57b6ead82d58b2241972bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000128-n000004.json b/manifests/batches/oproofs/s00001-r00000128-n000004.json
index 7c5361671db6fd9d039d521e84b0474b770aadcb..0a7f89ce2f5b807b7cb4b3ebc7291b365fbcf116 100644
--- a/manifests/batches/oproofs/s00001-r00000128-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000128-n000004",
   "batch_fingerprint": "afcb7e26b40768d326f5fcae006429d6f4b31be59d99ffdb92eeeffadf8df244",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000128-n000004-0000-d9ddefc9a433387b.parquet",
-      "sha256": "d9ddefc9a433387b63b4610caf243dae4cbd5d3e153f876a9539ba02ed330b20",
-      "bytes": 112599,
-      "rows": 14,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00001/r000000/oproofs-s00001-r00000128-n000004-0000-34051732fc9700ae.parquet",
-      "sha256": "34051732fc9700ae802bd8268ed31b646689f0c16f9651667a288d0e27594476",
-      "bytes": 87091,
-      "rows": 2,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000129.lean\",\"80390b4325443b5334ea2afcd68154bbc15710eca9774aa78efcf54a518bc19b\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000130.lean\",\"3a98efc07dbcdadfeda6889632233065c4904110cfe3877240255f91cd120a1a\",0,\"total_cost_of_fencing\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000131.lean\",\"d33edca36371e3d8f4a6ea28a9080d988f858bafcd09abc405a2a37d17896f3b\",0,\"lean_workbook_plus_5011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112599,
+      "path": "data/train/p36/oproofs-s00001-r00000128-n000004-0000-d9ddefc9a433387b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d9ddefc9a433387b63b4610caf243dae4cbd5d3e153f876a9539ba02ed330b20"
+    },
+    {
+      "bytes": 87091,
+      "path": "data/internal_test/p36/oproofs-s00001-r00000128-n000004-0000-34051732fc9700ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "34051732fc9700ae802bd8268ed31b646689f0c16f9651667a288d0e27594476"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00001-r00000132-n000004.json b/manifests/batches/oproofs/s00001-r00000132-n000004.json
index 3f6b2abce6d7e9abe4727fbd3ed318db1c16c443..fdb9b36f89ea6848cbfd13b1607f5308c8a70467 100644
--- a/manifests/batches/oproofs/s00001-r00000132-n000004.json
+++ b/manifests/batches/oproofs/s00001-r00000132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00001-r00000132-n000004",
   "batch_fingerprint": "2f4e8c4500b14a96e6dc751a06eb92fae6bcc5c225704d8f2a5026ec1d02a656",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00001/r000000/oproofs-s00001-r00000132-n000004-0000-460b047b4570b2dc.parquet",
-      "sha256": "460b047b4570b2dc632c1425fadc2b9812d9075aa4853888923bc794494930c0",
-      "bytes": 129763,
-      "rows": 16,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    },
-    {
-      "path": "data/dev/oproofs/s00001/r000000/oproofs-s00001-r00000132-n000004-0000-6fa0cdca56be923b.parquet",
-      "sha256": "6fa0cdca56be923bb9e398801fa4d8c6f825185f837e8129795c678449f6d083",
-      "bytes": 396713,
-      "rows": 7,
-      "revision": "9b5cd4175874345245924cc0880bb7bbd490d363"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000133.lean\",\"00609a8df9d77ec5c9b70df6793e4fa1813c090f2ca0d0c4531634c832ca013e\",0,\"lean_workbook_plus_74824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000134.lean\",\"1734e975df558ea19acc47c5bd261ce3e4560e722e961e21a16e6392bd841b59\",0,\"next_pythagorean_triple\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000135.lean\",\"89b7b53e5f472b05db7770b03a8b37e8f15205dfcd1e8817ddca3b0577fd5fa2\",0,\"lean_workbook_plus_73651\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129763,
+      "path": "data/train/pba/oproofs-s00001-r00000132-n000004-0000-460b047b4570b2dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "460b047b4570b2dc632c1425fadc2b9812d9075aa4853888923bc794494930c0"
+    },
+    {
+      "bytes": 396713,
+      "path": "data/dev/pba/oproofs-s00001-r00000132-n000004-0000-6fa0cdca56be923b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6fa0cdca56be923bb9e398801fa4d8c6f825185f837e8129795c678449f6d083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000000-n000002.json b/manifests/batches/oproofs/s00002-r00000000-n000002.json
index 7e3ea2f840261ae83e6faa20b103e5a9a956195e..f2a159178eee06f1babb669017eb32d46bef6a35 100644
--- a/manifests/batches/oproofs/s00002-r00000000-n000002.json
+++ b/manifests/batches/oproofs/s00002-r00000000-n000002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000000-n000002",
   "batch_fingerprint": "31a9ddb1ae69e87bcba927d61fda0d7ef91f132cc200ff400980006a976c3fb3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000000-n000002-0000-d28ee17453a5a1e1.parquet",
-      "sha256": "d28ee17453a5a1e1232a80893b4fc3503d60bd7eca2e817c690c650347d09089",
-      "bytes": 158214,
-      "rows": 14,
-      "revision": "8737ce50f975a01ad23eb6039b740d1f0eae7cb6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:0",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1"
@@ -35,5 +26,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000000.lean\",\"ad0c5c8f5b680cfb3ff356273ff372ada6b78ef056a8da62b6a8b0da8c1bdf85\",0,\"lean_workbook_plus_58999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000001.lean\",\"36073484b33289b373052a2082637aee361492c037ff2279f49d622986d1339a\",0,\"lean_workbook_plus_65690\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158214,
+      "path": "data/train/p21/oproofs-s00002-r00000000-n000002-0000-d28ee17453a5a1e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d28ee17453a5a1e1232a80893b4fc3503d60bd7eca2e817c690c650347d09089"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000000-n000004.json b/manifests/batches/oproofs/s00002-r00000000-n000004.json
index b631f6a47916084aafe519470fdb60c0f435bcc3..191c6b07f4f400ed2dac15808aa3017025360c30 100644
--- a/manifests/batches/oproofs/s00002-r00000000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000000-n000004",
   "batch_fingerprint": "ffc8cf84e727775f1e582688aec6cc5988a42b4bd63ae909a6695912d2249240",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000000-n000004-0000-e410447f3c401528.parquet",
-      "sha256": "e410447f3c401528e26d1ccd3fe3399bd42792008dbbd56f0f6c368aca2d1825",
-      "bytes": 531460,
-      "rows": 31,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000000-n000004-0001-29f31b738c76a21d.parquet",
-      "sha256": "29f31b738c76a21de42ca5906d6f002b744d3e74962ab1e39cb20d11c5e5ccec",
-      "bytes": 1830764,
-      "rows": 11,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:0",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000001.lean\",\"36073484b33289b373052a2082637aee361492c037ff2279f49d622986d1339a\",0,\"lean_workbook_plus_65690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000002.lean\",\"9134814e5e753827943d243150e6185995096bfe0539f81dced347473802642b\",0,\"lean_workbook_42613\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000003.lean\",\"da22984a6aca4905c4cddad101e27117f0f63593830fefcb0d3c683ba7fa6a09\",0,\"lean_workbook_29573\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531460,
+      "path": "data/train/p07/oproofs-s00002-r00000000-n000004-0000-e410447f3c401528.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "e410447f3c401528e26d1ccd3fe3399bd42792008dbbd56f0f6c368aca2d1825"
+    },
+    {
+      "bytes": 1830764,
+      "path": "data/train/p07/oproofs-s00002-r00000000-n000004-0001-29f31b738c76a21d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "29f31b738c76a21de42ca5906d6f002b744d3e74962ab1e39cb20d11c5e5ccec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000002-n000002.json b/manifests/batches/oproofs/s00002-r00000002-n000002.json
index bfd234e21cc7a196531d19fa7f54126e7a055b27..27aff8f994a283d0d3beac7dee2bb84d8ddc3379 100644
--- a/manifests/batches/oproofs/s00002-r00000002-n000002.json
+++ b/manifests/batches/oproofs/s00002-r00000002-n000002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000002-n000002",
   "batch_fingerprint": "95c63467cb2ec28fb6919ff1e0fcf3f766b9dc63b907cfd416c56cf158274d9e",
   "evidence": {
@@ -19,28 +18,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000002.lean\",\"9134814e5e753827943d243150e6185995096bfe0539f81dced347473802642b\",0,\"lean_workbook_42613\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000003.lean\",\"da22984a6aca4905c4cddad101e27117f0f63593830fefcb0d3c683ba7fa6a09\",0,\"lean_workbook_29573\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000002-n000002-0000-22cb16da9c182596.parquet",
-      "sha256": "22cb16da9c1825964a6e95c9f45baa5fdfc84068d087eb2d73d64da75532f059",
       "bytes": 1569716,
+      "path": "data/train/pd8/oproofs-s00002-r00000002-n000002-0000-22cb16da9c182596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "22eb60c4e6a4e59011658979f24ef1e851a4cc46"
+      "sha256": "22cb16da9c1825964a6e95c9f45baa5fdfc84068d087eb2d73d64da75532f059"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000002-n000002-0001-e0801cdc735d4622.parquet",
-      "sha256": "e0801cdc735d462221b790d97a652572af7c5c9a5ae8b7978604b9a2e96f3c26",
       "bytes": 664938,
+      "path": "data/train/pd8/oproofs-s00002-r00000002-n000002-0001-e0801cdc735d4622.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "22eb60c4e6a4e59011658979f24ef1e851a4cc46"
+      "sha256": "e0801cdc735d462221b790d97a652572af7c5c9a5ae8b7978604b9a2e96f3c26"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000002.lean\",\"9134814e5e753827943d243150e6185995096bfe0539f81dced347473802642b\",0,\"lean_workbook_42613\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000003.lean\",\"da22984a6aca4905c4cddad101e27117f0f63593830fefcb0d3c683ba7fa6a09\",0,\"lean_workbook_29573\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000004-n000002.json b/manifests/batches/oproofs/s00002-r00000004-n000002.json
index d903ca63236c972a5af499ad482071159a74581d..9dc6bac0c7bfba40401fbad053daa984668a2a43 100644
--- a/manifests/batches/oproofs/s00002-r00000004-n000002.json
+++ b/manifests/batches/oproofs/s00002-r00000004-n000002.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000004-n000002",
   "batch_fingerprint": "13f3833c5f38294b5d096d101e8f85e0b3a31b0974e0c24180f3b1ebd3c3dcc0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000004-n000002-0000-ee189eee5870face.parquet",
-      "sha256": "ee189eee5870face2f69ca1cc79bec11134e56863128b8e1e2925f4ba85ef5a2",
-      "bytes": 160148,
-      "rows": 7,
-      "revision": "b286ddfc35c3d3509ed8066c558859af12554f9d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5"
@@ -35,5 +26,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000004.lean\",\"f11cf826297a0709cea5c35299e697a753db6005c353321ddb0f37fed345711c\",0,\"lean_workbook_plus_46377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000005.lean\",\"6c39bc3a29f01d9af7cd2044f696ad4d482835afbc39ae20cb0c6dfe601fa972\",0,\"lean_workbook_plus_60798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160148,
+      "path": "data/train/p52/oproofs-s00002-r00000004-n000002-0000-ee189eee5870face.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ee189eee5870face2f69ca1cc79bec11134e56863128b8e1e2925f4ba85ef5a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000004-n000004.json b/manifests/batches/oproofs/s00002-r00000004-n000004.json
index dd8f7df43faeaa6cf14fb9203e699d5e6fd6fb1b..882a8506c0132b66b2828d6e2c43c36c2f66ae5b 100644
--- a/manifests/batches/oproofs/s00002-r00000004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000004-n000004",
   "batch_fingerprint": "cfbe592f2103177ed4623f3c597a0eb6561604918435d53e680a215398413e35",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000004-n000004-0000-7ed67bc95ac44fda.parquet",
-      "sha256": "7ed67bc95ac44fdaedfc800d64fb9941cc2eb58b4f6b86d91efd28edbda13a4b",
-      "bytes": 192898,
-      "rows": 13,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000005.lean\",\"6c39bc3a29f01d9af7cd2044f696ad4d482835afbc39ae20cb0c6dfe601fa972\",0,\"lean_workbook_plus_60798\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000006.lean\",\"1e3dcae52c5724ae6aaffe74a7f7418347b6a4d60ebbb7d5f5da53c496a8a19f\",0,\"lean_workbook_plus_22218\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000007.lean\",\"38e2f5b22094e6e3360c20a51a5ac75ca374a7085a8b10cd5b881a424f8c2775\",0,\"lean_workbook_32699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192898,
+      "path": "data/train/pcf/oproofs-s00002-r00000004-n000004-0000-7ed67bc95ac44fda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7ed67bc95ac44fdaedfc800d64fb9941cc2eb58b4f6b86d91efd28edbda13a4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000008-n000004.json b/manifests/batches/oproofs/s00002-r00000008-n000004.json
index ded500d4f644f2372dcdc7f1428a9953d51d3bf7..1277225f885de7fe4792467b754c9d64c1225b82 100644
--- a/manifests/batches/oproofs/s00002-r00000008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000008-n000004",
   "batch_fingerprint": "d206f0d86f0c1eff7f115ab80c5a92987289c83bfc06817d2eea3a62c13db9da",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000008-n000004-0000-241f62bbe90cc4de.parquet",
-      "sha256": "241f62bbe90cc4de7c5b7f343af07a222438e4d79df2008237f138b0770c9795",
-      "bytes": 298769,
-      "rows": 26,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000009.lean\",\"7633d3de51be57af43c8c160b5b730f9bbe5cbe78169f6586d025f752ecf4950\",0,\"alberts_family_ages\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000010.lean\",\"844964a99b3b6f96cbcb09edd66987cb7512b0808851c7846d4867f37dfafb7e\",0,\"lean_workbook_plus_55516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000011.lean\",\"4f33aa0a0ca10cf90fa5ec3ca672166ed6943c7fab758827a4d1bac0e9c16825\",0,\"lean_workbook_26856\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298769,
+      "path": "data/train/pd6/oproofs-s00002-r00000008-n000004-0000-241f62bbe90cc4de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "241f62bbe90cc4de7c5b7f343af07a222438e4d79df2008237f138b0770c9795"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000012-n000004.json b/manifests/batches/oproofs/s00002-r00000012-n000004.json
index 2b8954198eb7373c3cf5554caf178f7d3b3b08f7..3a3b11c61ad6b3fd4cd6aa58c5fb410432b7f449 100644
--- a/manifests/batches/oproofs/s00002-r00000012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000012-n000004",
   "batch_fingerprint": "26c421ecb1cebe43e84090c04c5855a5aa1b118a7369dadc8c83b015a18044bb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000012-n000004-0000-e723333a3e5346a7.parquet",
-      "sha256": "e723333a3e5346a7d0e2ba0b93d5913b212fcaec104805cf680a5cc425bda2a5",
-      "bytes": 526540,
-      "rows": 16,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000013.lean\",\"11c23e6a372dd9ad9b6e909817f4d038ac5af0a30e25ecc0e8c209e2806bd031\",0,\"lean_workbook_plus_76509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000014.lean\",\"de0780a3020c9a0548a2286534e1e20e4116290b627ff9c6bf798a2dafd8197f\",0,\"lean_workbook_plus_41234\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000015.lean\",\"7031e608a27119a2ddf8e5de3b1dd38a8090d5324c2d83717c108bd16a4233f2\",0,\"lean_workbook_plus_17649\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 526540,
+      "path": "data/train/p82/oproofs-s00002-r00000012-n000004-0000-e723333a3e5346a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e723333a3e5346a7d0e2ba0b93d5913b212fcaec104805cf680a5cc425bda2a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000016-n000004.json b/manifests/batches/oproofs/s00002-r00000016-n000004.json
index 3e61364c9dca1f7808bfba267b2cd9e805161265..90c24b7fced1cd19942a64dd886bed37f264d8b5 100644
--- a/manifests/batches/oproofs/s00002-r00000016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000016-n000004",
   "batch_fingerprint": "39198612b056d54306ac7855e8d9538f304c8361f7b6b2d29bf2d8f538f41d21",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000016-n000004-0000-84ad68e8b6f7a9bc.parquet",
-      "sha256": "84ad68e8b6f7a9bc1dbc3c2f1d4e6d0114ef1708cc03ed00617225f8cda28e8c",
-      "bytes": 353422,
-      "rows": 19,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000016-n000004-0000-6f0d54d9cea72d20.parquet",
-      "sha256": "6f0d54d9cea72d20ab5642a8352e44ab9986483d2fa06f3e1b8a41b304083694",
-      "bytes": 54877,
-      "rows": 4,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:16",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:17",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000017.lean\",\"66226e299ed3eb008deb7615e27fd57fd5a66398b6c4d46a55cc3d718a5e271a\",0,\"lean_workbook_plus_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000018.lean\",\"f7e1883c9be02cfbd1c9fc1cb2993134efcb1ccb3e2e634122f2ea4d3d54cace\",0,\"lean_workbook_21859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000019.lean\",\"09b54d7bf08f4f662b8d49a193d68049afe9994476ba4993cc10aae45da49d0c\",0,\"lean_workbook_plus_66806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353422,
+      "path": "data/train/pa1/oproofs-s00002-r00000016-n000004-0000-84ad68e8b6f7a9bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "84ad68e8b6f7a9bc1dbc3c2f1d4e6d0114ef1708cc03ed00617225f8cda28e8c"
+    },
+    {
+      "bytes": 54877,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00000016-n000004-0000-6f0d54d9cea72d20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6f0d54d9cea72d20ab5642a8352e44ab9986483d2fa06f3e1b8a41b304083694"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000020-n000004.json b/manifests/batches/oproofs/s00002-r00000020-n000004.json
index 937140b8afa4e82f972175c0c87b1833411d04ce..f2a7f8214a0053f0c0b3259a6978b0337754b9c0 100644
--- a/manifests/batches/oproofs/s00002-r00000020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000020-n000004",
   "batch_fingerprint": "983855c38d29381454955a999a63363bfcf2cc05a6149915c4846f243a2c6484",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000020-n000004-0000-e36287ceac1ab660.parquet",
-      "sha256": "e36287ceac1ab6608fc71b2ca90f730b9d4c4bcfc5f9ffce2fd2558acdded5cd",
-      "bytes": 140881,
-      "rows": 20,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:20",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:21",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000021.lean\",\"63698dc87d035c894e86abc6188ee69cb84498052236f3a97929e8d658ebe1fb\",0,\"lean_workbook_plus_36635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000022.lean\",\"5e26694c697f6188086315b65507a6f49d96447e739f8e6da302a89a02e7417e\",0,\"lean_workbook_plus_25927\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000023.lean\",\"633cff613c7da9bdb3945fb18d38d69546058e22272d5fbcee80bd434d66fe60\",0,\"lean_workbook_3209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140881,
+      "path": "data/train/pc6/oproofs-s00002-r00000020-n000004-0000-e36287ceac1ab660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e36287ceac1ab6608fc71b2ca90f730b9d4c4bcfc5f9ffce2fd2558acdded5cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000024-n000004.json b/manifests/batches/oproofs/s00002-r00000024-n000004.json
index 6559ede3a70a9a733dd5817aaa864a7026280d6d..8da0ad7709f1dd958f7d968adc50b43569aca35a 100644
--- a/manifests/batches/oproofs/s00002-r00000024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000024-n000004",
   "batch_fingerprint": "26987f86933a06075927a4d9e92c1ad54a05b151015730f0a5dc6ae6a57f13f2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000024-n000004-0000-4121068d99f5c147.parquet",
-      "sha256": "4121068d99f5c147f2d2cde239c6178366fc96948a994341954472eb38b04c7a",
-      "bytes": 205219,
-      "rows": 12,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:24",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:25",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000025.lean\",\"b324fb117e7f99bb8ebfc4e7b9590e6fc9c149cbf61a50955c70605266ce1c01\",0,\"lean_workbook_41486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000026.lean\",\"1f2d36032c15efb4459d62dbdd2ce59a9af8a15a6ebf1ebcc7fc95f8e59eff34\",0,\"lean_workbook_12754\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000027.lean\",\"338f22fd309dfc8b5bfa47f42005631b2987c4d08a36ebd42e57539279cc06bf\",0,\"lean_workbook_38200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205219,
+      "path": "data/train/pfe/oproofs-s00002-r00000024-n000004-0000-4121068d99f5c147.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4121068d99f5c147f2d2cde239c6178366fc96948a994341954472eb38b04c7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000028-n000004.json b/manifests/batches/oproofs/s00002-r00000028-n000004.json
index 039f093cfb864e5206678a0dbef550abf258da2b..3429e424f2c2af054d320682f2fd1704f8029145 100644
--- a/manifests/batches/oproofs/s00002-r00000028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000028-n000004",
   "batch_fingerprint": "d77499db9d13604c44be69c3f23799cd39e83e33e5e2805e145ef633aeecf278",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000028-n000004-0000-f894dbccf0a8b152.parquet",
-      "sha256": "f894dbccf0a8b152b34236e46344be56600d4bf16e347968c39f3723a339d7b9",
-      "bytes": 183728,
-      "rows": 21,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:28",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:29",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000029.lean\",\"ecbbde2f738e297c16cd2314cc5bba681599b9d1702b756a031055706529c284\",0,\"lean_workbook_plus_63768\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000030.lean\",\"e47b32a079330a679d0304d734837c8330027fb1d6eb027caa1f2e532c0b4ad0\",0,\"lean_workbook_plus_7564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000031.lean\",\"a3f961a98a782ce0ada3371b28ea6951152c47e3ef975af790db772045aec371\",0,\"lean_workbook_plus_48912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183728,
+      "path": "data/train/p61/oproofs-s00002-r00000028-n000004-0000-f894dbccf0a8b152.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f894dbccf0a8b152b34236e46344be56600d4bf16e347968c39f3723a339d7b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000032-n000004.json b/manifests/batches/oproofs/s00002-r00000032-n000004.json
index 79a59d6edf6605ab4f67340c9a46e7692b972729..fc5d5dee2dac346f372f7149674eeb71dcc28229 100644
--- a/manifests/batches/oproofs/s00002-r00000032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000032-n000004",
   "batch_fingerprint": "273f1e767ab3db7fed94e1abcde97b59b176269a4265d91aa7ff1050782df3ac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000032-n000004-0000-5796bf88ab4ba7f5.parquet",
-      "sha256": "5796bf88ab4ba7f51a3a71a794aacb089803baf6f87694f157e1eab1b3ef5ef0",
-      "bytes": 178430,
-      "rows": 18,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:32",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:33",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000033.lean\",\"26dcd766c67272e033473b87970456380950e10ee85f24cd4fb1cdf824a38062\",0,\"lean_workbook_12814\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000034.lean\",\"69c91f6aeeae9ad1ec6804693fe9fbfa86e2a5bd6c730377f4bc82f222dec7b5\",0,\"lean_workbook_plus_61409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000035.lean\",\"f86751482a09b078e31e12997477b16ac6db0f530f9e68926f42dcafa8392855\",0,\"lean_workbook_plus_77995\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178430,
+      "path": "data/train/pb9/oproofs-s00002-r00000032-n000004-0000-5796bf88ab4ba7f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5796bf88ab4ba7f51a3a71a794aacb089803baf6f87694f157e1eab1b3ef5ef0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000036-n000004.json b/manifests/batches/oproofs/s00002-r00000036-n000004.json
index 8e019f2c1ead32f41d58f1ec335ee37e5ad1d7eb..276f2e6cae0890eab0d944d72b5d26dada1f83b3 100644
--- a/manifests/batches/oproofs/s00002-r00000036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000036-n000004",
   "batch_fingerprint": "85303138393b487ccee6e198d89b47fd4d6b4326771e2a90adafd4dfca226745",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000036-n000004-0000-51cf08eb3efbbcf0.parquet",
-      "sha256": "51cf08eb3efbbcf0f032e2bf0c5e926e75ca4a0cbc9ba35a088e8734eb7d4442",
-      "bytes": 182843,
-      "rows": 10,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000036-n000004-0000-b9704d5d0c5bac84.parquet",
-      "sha256": "b9704d5d0c5bac84138a246b3313228cbe0abf43bb954c6a0f04e210b9b64fd4",
-      "bytes": 191753,
-      "rows": 7,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:36",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:37",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000037.lean\",\"98d9d401e95378b215b31b203efcefcf4eafc5e651b1b1f5a379ca078bedc95b\",0,\"price_change_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000038.lean\",\"515b3886df76b94015df074335c4b0f5d58c926dbca2c134cbbffc206ee5c234\",0,\"lean_workbook_36162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000039.lean\",\"29ea6bdc469bdf0546082a64f4d455faf2c29d137ddb0600adf603da25f733b8\",0,\"lean_workbook_plus_49964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182843,
+      "path": "data/train/pce/oproofs-s00002-r00000036-n000004-0000-51cf08eb3efbbcf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "51cf08eb3efbbcf0f032e2bf0c5e926e75ca4a0cbc9ba35a088e8734eb7d4442"
+    },
+    {
+      "bytes": 191753,
+      "path": "data/internal_test/pce/oproofs-s00002-r00000036-n000004-0000-b9704d5d0c5bac84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b9704d5d0c5bac84138a246b3313228cbe0abf43bb954c6a0f04e210b9b64fd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000040-n000004.json b/manifests/batches/oproofs/s00002-r00000040-n000004.json
index d75d8b84242328f6be0fdef851d5c951c470dfc4..af8d82201dd97f1aeda9d83af9923d8a8f226a29 100644
--- a/manifests/batches/oproofs/s00002-r00000040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000040-n000004",
   "batch_fingerprint": "72af0b6ec2402e62f90a690e7b5b253621c2b636843829c6d0ab3d4e8532e679",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000040-n000004-0000-b4b3d56f61657dc8.parquet",
-      "sha256": "b4b3d56f61657dc80fd0acb351516541593908cad35835fd8cd9620279fab093",
-      "bytes": 70843,
-      "rows": 7,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000040-n000004-0000-5fd2b65a370e306a.parquet",
-      "sha256": "5fd2b65a370e306ab5b304e353f81f63a53096618a18b3f696f8c841c479594c",
-      "bytes": 317473,
-      "rows": 8,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:40",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:41",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000041.lean\",\"09e4abe86778b3b9c963d6d79379a4e89bd93293b24cfd85cdbfca5a8895b99e\",0,\"lean_workbook_plus_29990\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000042.lean\",\"f586cd248b6c02d093111773ab4e8c71b0996e51cf794f8a988dfdf86c690158\",0,\"lean_workbook_31925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000043.lean\",\"485d612f5616759a2ab16b8b345d3cb3879c17516e33ee6d41935d501a375d8e\",0,\"lean_workbook_plus_63303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70843,
+      "path": "data/train/p81/oproofs-s00002-r00000040-n000004-0000-b4b3d56f61657dc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b4b3d56f61657dc80fd0acb351516541593908cad35835fd8cd9620279fab093"
+    },
+    {
+      "bytes": 317473,
+      "path": "data/internal_test/p81/oproofs-s00002-r00000040-n000004-0000-5fd2b65a370e306a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5fd2b65a370e306ab5b304e353f81f63a53096618a18b3f696f8c841c479594c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000044-n000004.json b/manifests/batches/oproofs/s00002-r00000044-n000004.json
index 735b2e127109ef6372120ac48c8b755a3242b88a..5f7c1fa096b8d947a81a96f89218036aedcf14af 100644
--- a/manifests/batches/oproofs/s00002-r00000044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000044-n000004",
   "batch_fingerprint": "87faf2597b9ee1429cc892d8c6bc1c1c09dd131c7ff336ccaf643b90536dfff8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000044-n000004-0000-ebbd8a2bb7b008d4.parquet",
-      "sha256": "ebbd8a2bb7b008d4f0d12020459e0eb5bbd282816a23bd10f0a030b7c3a6d250",
-      "bytes": 156725,
-      "rows": 12,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:44",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:45",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000045.lean\",\"6d5edf0d2ee70b5e839174ebef52bb794325ad2374b6a0fac7c54e00a7c66f87\",0,\"lean_workbook_plus_52255\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000046.lean\",\"e20ae7a201215df7603c8e0c3f1f172b0ee55dfae14c9c1ab870e921bc80a433\",0,\"lean_workbook_plus_63666\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000047.lean\",\"cb9618bd456deb7962173ebe04f59f530aa2eb7a0f3a533d0ad736882193a283\",0,\"lean_workbook_plus_71615\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156725,
+      "path": "data/train/pa1/oproofs-s00002-r00000044-n000004-0000-ebbd8a2bb7b008d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ebbd8a2bb7b008d4f0d12020459e0eb5bbd282816a23bd10f0a030b7c3a6d250"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000048-n000004.json b/manifests/batches/oproofs/s00002-r00000048-n000004.json
index 273183863507c232f388981730ea1d7f1e332565..45d16ca18f5aabc157b7a507b43d522b29cf5706 100644
--- a/manifests/batches/oproofs/s00002-r00000048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000048-n000004",
   "batch_fingerprint": "475c5e599069da14c21fe8375b264d8a95564b23497c2353dda3364a421b7164",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000048-n000004-0000-5113dbcc8ea50e38.parquet",
-      "sha256": "5113dbcc8ea50e3817e6aec5c171f9488ea33208459ed8c2b3d21d79fa112783",
-      "bytes": 171290,
-      "rows": 11,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000048-n000004-0000-b8b84b5908af6d03.parquet",
-      "sha256": "b8b84b5908af6d03e8005647861c4092c67bd565afd7b7a17d173339c89977ed",
-      "bytes": 158204,
-      "rows": 8,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:48",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:49",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000049.lean\",\"97818cf89be812e3318b8e9befba0743c691691c8472647d541e6d5746f0f7e8\",0,\"lean_workbook_plus_15051\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000050.lean\",\"f37ad67d4c7b678149b9f39bf56d0382a10e9184befdaae294101acace08c414\",0,\"lean_workbook_plus_18962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000051.lean\",\"819af77952a3713cf0182b60024f37384d69384a62dd2b4a76a5abe24558d61e\",0,\"complement_of_M\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171290,
+      "path": "data/train/p80/oproofs-s00002-r00000048-n000004-0000-5113dbcc8ea50e38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5113dbcc8ea50e3817e6aec5c171f9488ea33208459ed8c2b3d21d79fa112783"
+    },
+    {
+      "bytes": 158204,
+      "path": "data/internal_test/p80/oproofs-s00002-r00000048-n000004-0000-b8b84b5908af6d03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b8b84b5908af6d03e8005647861c4092c67bd565afd7b7a17d173339c89977ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000052-n000004.json b/manifests/batches/oproofs/s00002-r00000052-n000004.json
index 9401269fdc56071b64ffcc5d699144ac3b1d1528..a40da0de9876e84c29023f62bf0aaad74eaa7e01 100644
--- a/manifests/batches/oproofs/s00002-r00000052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000052-n000004",
   "batch_fingerprint": "dfd8cf9649a3c932dbeda6c0d3cf278d91ec2f5148c2280cd73d90e2f938da04",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000052-n000004-0000-3d2b466cc2ab0c5c.parquet",
-      "sha256": "3d2b466cc2ab0c5c76571066d471149bc2e7590a103625178dec1495d6994bb2",
-      "bytes": 81679,
-      "rows": 6,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000052-n000004-0000-adc0950169e98000.parquet",
-      "sha256": "adc0950169e98000434c1c49c2f901dda42fa2c30298419fde1f9baea038183f",
-      "bytes": 68134,
-      "rows": 6,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:52",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:53",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000053.lean\",\"062255e1dcd8a4a03c77fba9c979ce13a70ba3484c0a600fe76224bc52d765ad\",0,\"lean_workbook_plus_32200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000054.lean\",\"712dc745aeb7bd3e79437481738c1e03fc328d6a7aa7193db52f897b82b85dd9\",0,\"lean_workbook_13179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000055.lean\",\"9a84a456adba822020380f6bc1152732b2efb285996d14841b9e2b29097dff8e\",0,\"lean_workbook_plus_75349\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81679,
+      "path": "data/train/pf0/oproofs-s00002-r00000052-n000004-0000-3d2b466cc2ab0c5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3d2b466cc2ab0c5c76571066d471149bc2e7590a103625178dec1495d6994bb2"
+    },
+    {
+      "bytes": 68134,
+      "path": "data/dev/pf0/oproofs-s00002-r00000052-n000004-0000-adc0950169e98000.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "adc0950169e98000434c1c49c2f901dda42fa2c30298419fde1f9baea038183f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000056-n000004.json b/manifests/batches/oproofs/s00002-r00000056-n000004.json
index 58fbbf6f3f2df55fb3c003546c39c9223c1a9460..18f5286a6497d58fa02dd3904b8032789082fc0a 100644
--- a/manifests/batches/oproofs/s00002-r00000056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000056-n000004",
   "batch_fingerprint": "6fbf627bd9f1621e8d264e519e5bd18c7be5b9e1bcc79dd5d8902b19519eade3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000056-n000004-0000-279bc48e92e65488.parquet",
-      "sha256": "279bc48e92e6548868693d33465c5d2c38b6c57d8c8d1ac11a7049af170314ab",
-      "bytes": 313890,
-      "rows": 19,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:56",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:57",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000057.lean\",\"cc681b6f9c0e25878caf805241f27b313be60124ff9e715b07193166a0a5e9aa\",0,\"lean_workbook_plus_31860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000058.lean\",\"baeb98898d7d63624cbf08f047f63052fd4f07087a9aee4a9e82ea35557d19a1\",0,\"lean_workbook_plus_25840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000059.lean\",\"a766760f455c787db97141118c2370f5e33f70abf001dadc7e91a5cd9e5ec2e1\",0,\"lean_workbook_plus_33215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313890,
+      "path": "data/train/p97/oproofs-s00002-r00000056-n000004-0000-279bc48e92e65488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "279bc48e92e6548868693d33465c5d2c38b6c57d8c8d1ac11a7049af170314ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000060-n000004.json b/manifests/batches/oproofs/s00002-r00000060-n000004.json
index 87a97eae6a8b11a880c49aa19c4f6bcdca7d1a28..520eb6e8a7d9f40943d8836f7ba4085c008abf3f 100644
--- a/manifests/batches/oproofs/s00002-r00000060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000060-n000004",
   "batch_fingerprint": "bac7a512ded1a758c65602091299b4c5542277a7cd5b535cd87410fdb0d01b61",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000060-n000004-0000-42d79b30d9719141.parquet",
-      "sha256": "42d79b30d9719141190012c77f62b33630a547ea4e31c6f077b1c6852e395d97",
-      "bytes": 163618,
-      "rows": 14,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:60",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:61",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000061.lean\",\"1adb2f0e7dba36eaf8a1f436e9f7dfe4e10eadde3da665362cb87967183c1424\",0,\"lean_workbook_24578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000062.lean\",\"7913d0ced340ccd34bd151ca9434d82fdd07d7831be6e6d4d0cf7ab85a38b552\",0,\"lean_workbook_plus_37050\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000063.lean\",\"5c433f237a0be92e28f80a97879d13fc9d101ff10469522ad0b82240914bde62\",0,\"lean_workbook_29021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163618,
+      "path": "data/train/p38/oproofs-s00002-r00000060-n000004-0000-42d79b30d9719141.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "42d79b30d9719141190012c77f62b33630a547ea4e31c6f077b1c6852e395d97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000064-n000004.json b/manifests/batches/oproofs/s00002-r00000064-n000004.json
index d51cde54dbdccdd5bf49df467411e8a3d4a054a6..879cc47a3ed0a5464bab7e3b94b9a7b6360c4374 100644
--- a/manifests/batches/oproofs/s00002-r00000064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000064-n000004",
   "batch_fingerprint": "e39d6853a64307fe25c568051e555d10615d3fe7bff31d8e044749591ad04e5f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000064-n000004-0000-eb234ef29d0599fc.parquet",
-      "sha256": "eb234ef29d0599fc03a7db89e820311dc3e6d962deed3426e5ed58e6590916e2",
-      "bytes": 232955,
-      "rows": 15,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:64",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:65",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000065.lean\",\"93831efb893d74c83add110314bd30d13d2904565fdbc15870ab8971d127fef0\",0,\"lean_workbook_plus_53670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000066.lean\",\"2c0c8c97d964522ae90a7034f8e75f4d36aa0f19998170eced25791184685e9d\",0,\"lean_workbook_48163\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000067.lean\",\"0d404bc807135761c014f595f645fd27c1cb9b2f789ef84eb04ecbab5c9556d8\",0,\"lean_workbook_45171\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232955,
+      "path": "data/train/p1f/oproofs-s00002-r00000064-n000004-0000-eb234ef29d0599fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "eb234ef29d0599fc03a7db89e820311dc3e6d962deed3426e5ed58e6590916e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000068-n000004.json b/manifests/batches/oproofs/s00002-r00000068-n000004.json
index 2ba65516f18b13c01f870bd4c48047e08e3d8797..0f2a182aa60add60d1d127b5a641709c4b07bfc8 100644
--- a/manifests/batches/oproofs/s00002-r00000068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000068-n000004",
   "batch_fingerprint": "0f07d039080951574f3f56416b8712e72600407f9ef5cbf3f8444d2b1b09dd46",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000068-n000004-0000-de3cb51f5130f25f.parquet",
-      "sha256": "de3cb51f5130f25f99a9b7668f7c56bd7f8bf8b9da560011ef65ac421c7f41c4",
-      "bytes": 334242,
-      "rows": 21,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:68",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:69",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000069.lean\",\"817fbfd8f574f6c4a77d0b2152a14eed9009ca549df8a833141aa27fbba47bc2\",0,\"lean_workbook_plus_25793\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000070.lean\",\"bec21d3dad25bd14d3bf5b9b19ccde21712371cd1d907ec428285ab4f6682679\",0,\"lean_workbook_plus_3617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000071.lean\",\"4a3fe36ee8dea646b8fd66a1bfed8bdc587e63de801725ba8f5f803c499a8e12\",0,\"lean_workbook_20449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334242,
+      "path": "data/train/p1b/oproofs-s00002-r00000068-n000004-0000-de3cb51f5130f25f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "de3cb51f5130f25f99a9b7668f7c56bd7f8bf8b9da560011ef65ac421c7f41c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000072-n000004.json b/manifests/batches/oproofs/s00002-r00000072-n000004.json
index d9d7e77b302caf83b3509b1bcba3258c479f98d5..6a2c2329c055a35cc6d516e42acc4e3072808201 100644
--- a/manifests/batches/oproofs/s00002-r00000072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000072-n000004",
   "batch_fingerprint": "10b09c7ebec298a08efb80d011257276a455eb5b41fff3c775dd2a6e8a5c2fc0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000072-n000004-0000-920150ba889c2997.parquet",
-      "sha256": "920150ba889c29973dd4b057b018af13671037ec0ba9d290cbc8d506c29ea5c8",
-      "bytes": 150969,
-      "rows": 19,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:72",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:73",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000073.lean\",\"9640c44486a9c59373aa0a27ddcef5b6870928fe93b34e74f7f024fb49294aa7\",0,\"lean_workbook_plus_31943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000074.lean\",\"2dedd122a193c214d8ed5a65a489e169d3487dbf3eddac30886376a835e26633\",0,\"lean_workbook_plus_28803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000075.lean\",\"49e1106bf5eb7d1147316d685a133fced8c116b574fd4632880a21f0988018a7\",0,\"lean_workbook_plus_72051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150969,
+      "path": "data/train/p9f/oproofs-s00002-r00000072-n000004-0000-920150ba889c2997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "920150ba889c29973dd4b057b018af13671037ec0ba9d290cbc8d506c29ea5c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000076-n000004.json b/manifests/batches/oproofs/s00002-r00000076-n000004.json
index f0a2e7eb7fa497579cb22073cdfb57c846a179ea..9a5d25db282267eafd4a9f08d96e1f24c5282dbc 100644
--- a/manifests/batches/oproofs/s00002-r00000076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000076-n000004",
   "batch_fingerprint": "b1a7f0256920ddddcea829eaea4f4baf30b18ff480ed5b2f410d8441df892151",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000076-n000004-0000-86b2de3a02e32fe3.parquet",
-      "sha256": "86b2de3a02e32fe3f5c7c927c09631c54f7ca8287355d12ec3af33b60d92101a",
-      "bytes": 475387,
-      "rows": 23,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000076-n000004-0000-c22959768e207f33.parquet",
-      "sha256": "c22959768e207f33489a48c43cdbaec24ebebf0cbe575ae0deb47e331620d66d",
-      "bytes": 128242,
-      "rows": 6,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:76",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:77",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000077.lean\",\"3d0f22681e12d38816cffe163c6b69cbd0931f60d7204b2cf9f388f698378ed0\",0,\"lean_workbook_plus_39093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000078.lean\",\"479ec184278e218fe4f8771b5f179405203c43ea1b81fa0ac65650d9063bcb36\",0,\"sin_cos_one_relation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000079.lean\",\"4d6642b58aeba42b6cc70cc844c8b054c721982609353e6127a533b957845f75\",0,\"lean_workbook_plus_46935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 475387,
+      "path": "data/train/p37/oproofs-s00002-r00000076-n000004-0000-86b2de3a02e32fe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "86b2de3a02e32fe3f5c7c927c09631c54f7ca8287355d12ec3af33b60d92101a"
+    },
+    {
+      "bytes": 128242,
+      "path": "data/internal_test/p37/oproofs-s00002-r00000076-n000004-0000-c22959768e207f33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c22959768e207f33489a48c43cdbaec24ebebf0cbe575ae0deb47e331620d66d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000080-n000004.json b/manifests/batches/oproofs/s00002-r00000080-n000004.json
index 766e8d0a33309886b294254f2de4fff723c083a6..86917718e6346bb2beb4ff1b11976e57c1406ec5 100644
--- a/manifests/batches/oproofs/s00002-r00000080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000080-n000004",
   "batch_fingerprint": "dd4360bb1b1e89c2d7bc80f7b9d21540dcf107b9c53d7210ba69266101e06bc1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000080-n000004-0000-bd568d5f78c3fa5f.parquet",
-      "sha256": "bd568d5f78c3fa5f4d585f74c9121d56ed0d5d8abd3beca96face4e5176e2811",
-      "bytes": 591107,
-      "rows": 24,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:80",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:81",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000081.lean\",\"d3f4695c721e132356821adb00dbe6cf04e69de687bc9a35e5870c8e9fec3bfa\",0,\"lean_workbook_plus_36356\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000082.lean\",\"0ecc7d34800e6a5224555895eee11d88ae721922ee87192bd4e891971e378406\",0,\"lean_workbook_plus_43708\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000083.lean\",\"4b54f1cadf9e43790fd465a04ea48a578f3e60c221385c9c10741673dd3f4cc8\",0,\"lean_workbook_plus_76756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 591107,
+      "path": "data/train/pf5/oproofs-s00002-r00000080-n000004-0000-bd568d5f78c3fa5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "bd568d5f78c3fa5f4d585f74c9121d56ed0d5d8abd3beca96face4e5176e2811"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000084-n000004.json b/manifests/batches/oproofs/s00002-r00000084-n000004.json
index d155f4c77aad33041d3b96e5e7cbe2d5b49845be..e56f94ffc27a849b913aff139dd53fc8c59b8f71 100644
--- a/manifests/batches/oproofs/s00002-r00000084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000084-n000004",
   "batch_fingerprint": "0ecb81fbd40f3a176d7f94f708d7957cc8b7eb8ed6f812a27976c8456fa569d7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000084-n000004-0000-3013a2c4aec6ab7f.parquet",
-      "sha256": "3013a2c4aec6ab7f39b6c82db494af8885dc2fa524322a224b07136279b08ad1",
-      "bytes": 223721,
-      "rows": 19,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:84",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:85",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000085.lean\",\"9068b3d30013c7f7fd232657dad925b8363dafe24c1fab24f67af08c58b5a53f\",0,\"lean_workbook_plus_58999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000086.lean\",\"5c01c8cfddc0915a442cad5787a87bf48628c34f5ef3c181f4246e911bccc93f\",0,\"lean_workbook_plus_65690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000087.lean\",\"a73c5750af229271fe8d3cac226710f2bbc548ae40d5d8e869082e926dfc75e9\",0,\"lean_workbook_plus_15082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223721,
+      "path": "data/train/pbe/oproofs-s00002-r00000084-n000004-0000-3013a2c4aec6ab7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3013a2c4aec6ab7f39b6c82db494af8885dc2fa524322a224b07136279b08ad1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000088-n000004.json b/manifests/batches/oproofs/s00002-r00000088-n000004.json
index 8ab7856f7e7a89d06bac99e7d07f681cb42c04f2..1f10dc283bcbe6d9e08308075f7dfefe5793c6f3 100644
--- a/manifests/batches/oproofs/s00002-r00000088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000088-n000004",
   "batch_fingerprint": "4f062d92a0c4c289b5c1f27f922c0dd5d1760c6db347b67781322e993f6f19ba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000088-n000004-0000-2e399b4fe41b6d74.parquet",
-      "sha256": "2e399b4fe41b6d748fe15e2e333801429c3327c48efd3d16fe9ced583716d87c",
-      "bytes": 1242737,
-      "rows": 29,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:88",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:89",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000089.lean\",\"6193fe8a2e352b6fe3bf53db218b66384d8ebe4cfe5a60e66da092759e805bc6\",0,\"lean_workbook_plus_46377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000090.lean\",\"c65578d243e0ab60841068dfbefb9f9f5b5cc922873e41109538758b5b425948\",0,\"lean_workbook_plus_76668\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000091.lean\",\"86811fa2ce569e7bcba96885696695174337e00fe3d6ef1b0a1d4d117c35a38f\",0,\"lean_workbook_plus_26172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1242737,
+      "path": "data/train/p23/oproofs-s00002-r00000088-n000004-0000-2e399b4fe41b6d74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "2e399b4fe41b6d748fe15e2e333801429c3327c48efd3d16fe9ced583716d87c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000092-n000004.json b/manifests/batches/oproofs/s00002-r00000092-n000004.json
index 4a6d2723fba657b8f949c1a7acee67349ce0be74..563f71d8406433497dc5b02af5e64d821ff3bfd8 100644
--- a/manifests/batches/oproofs/s00002-r00000092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000092-n000004",
   "batch_fingerprint": "dcc2e245bcacfbecbcc30ae77b10c7f2c6bca081b94827901f07fad9bb30bfb0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000092-n000004-0000-4dde7ab3b26c5dd6.parquet",
-      "sha256": "4dde7ab3b26c5dd64c935dc8054123f0da8cecbaffa6417f4bfc0fc480445e55",
-      "bytes": 202961,
-      "rows": 15,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000092-n000004-0000-42a1170d404066d4.parquet",
-      "sha256": "42a1170d404066d477176df72c33652072aaa92616b395e4da8254cfc9328074",
-      "bytes": 512491,
-      "rows": 11,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:92",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:93",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000093.lean\",\"f468d470e7ea3d93ae4815546ce20818542916e9e210b87ae916197df58c038f\",0,\"lean_workbook_plus_59902\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000094.lean\",\"1011010e79b03058e3fe076e73618c06721c48d16a0ef7d47a0d5cd25aba525c\",0,\"lean_workbook_plus_62879\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000095.lean\",\"46011fb0511c3161ab93c6b580d86b262d8c5bf3558e6973c2e89693536a0d50\",0,\"lean_workbook_2819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202961,
+      "path": "data/train/p3e/oproofs-s00002-r00000092-n000004-0000-4dde7ab3b26c5dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4dde7ab3b26c5dd64c935dc8054123f0da8cecbaffa6417f4bfc0fc480445e55"
+    },
+    {
+      "bytes": 512491,
+      "path": "data/dev/p3e/oproofs-s00002-r00000092-n000004-0000-42a1170d404066d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "42a1170d404066d477176df72c33652072aaa92616b395e4da8254cfc9328074"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000096-n000004.json b/manifests/batches/oproofs/s00002-r00000096-n000004.json
index 8460c3ff0d69cb0d6f90816f04f0b23f27e312c5..9bebba58c7d9a8343743f9096a81a6ac024be963 100644
--- a/manifests/batches/oproofs/s00002-r00000096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000096-n000004",
   "batch_fingerprint": "c0490b098315b53546a64aabbc917df18bcabd185a434e6e091278121fd49d1d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000096-n000004-0000-be3faeb91316931e.parquet",
-      "sha256": "be3faeb91316931e9cb47bdbeb89565536f6c9781eb48a5a7d301bcc777971aa",
-      "bytes": 125107,
-      "rows": 10,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000096-n000004-0000-39f4bef958c6e8a0.parquet",
-      "sha256": "39f4bef958c6e8a0c2f93141fcfa275ccf0d8201813c97d86e32716a57924c51",
-      "bytes": 36763,
-      "rows": 5,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:96",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:97",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000097.lean\",\"1c7310284ebaabfd92f3f9447cd732f919dcef6b352649822c6e02635616d63f\",0,\"lean_workbook_plus_76509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000098.lean\",\"662a8e1e9e5be0bdccaf16cbe1edd6f8398254e5aafecd332a8fba34ca40f879\",0,\"lean_workbook_plus_41396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000099.lean\",\"ba4fb63aacd3d16a2b762ced931e7f053adcd12f86eec6f255a51e0ee9583b6e\",0,\"lean_workbook_plus_41234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125107,
+      "path": "data/train/pc2/oproofs-s00002-r00000096-n000004-0000-be3faeb91316931e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "be3faeb91316931e9cb47bdbeb89565536f6c9781eb48a5a7d301bcc777971aa"
+    },
+    {
+      "bytes": 36763,
+      "path": "data/internal_test/pc2/oproofs-s00002-r00000096-n000004-0000-39f4bef958c6e8a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "39f4bef958c6e8a0c2f93141fcfa275ccf0d8201813c97d86e32716a57924c51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000100-n000004.json b/manifests/batches/oproofs/s00002-r00000100-n000004.json
index b441fb665d7a400900836ac57c5dda2ce08a68c0..bbaa05c4dd262a16dbc99d0277f324708755fcc5 100644
--- a/manifests/batches/oproofs/s00002-r00000100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000100-n000004",
   "batch_fingerprint": "398cdb90472ff6abd2e0a4d162d4dd91cd38d9f16d8bdaef7a0af718b889e4a7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000100-n000004-0000-dea1b7c4047ddede.parquet",
-      "sha256": "dea1b7c4047ddedef3ead07fcc63d4bff322231073790a44b9988f9a75df955d",
-      "bytes": 194183,
-      "rows": 25,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000101.lean\",\"bdad4da656a33dd7d505ff42cbfaef7c923f9d10bf8a845765ca2311f70ba92f\",0,\"lean_workbook_plus_44812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000102.lean\",\"929476783dce71c4e06e2dcac2aee9813b50ea65cf711ab481a86d2de5a866fc\",0,\"lean_workbook_plus_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000103.lean\",\"de2e4788c231e47171020d417f45bd84f748430828ccb4fbda698822b4edf8f9\",0,\"lean_workbook_plus_36635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194183,
+      "path": "data/train/pa8/oproofs-s00002-r00000100-n000004-0000-dea1b7c4047ddede.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "dea1b7c4047ddedef3ead07fcc63d4bff322231073790a44b9988f9a75df955d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000104-n000004.json b/manifests/batches/oproofs/s00002-r00000104-n000004.json
index af46a0816ecde3016c5ba982d1e255e66ecb0d29..bd543d723b97f87ea6d8c88754ccc5315e1631fc 100644
--- a/manifests/batches/oproofs/s00002-r00000104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000104-n000004",
   "batch_fingerprint": "b35a0b07423cc1dd9e9014d8f1e550fe98b8d829fb8e3d93b56143600c38ce86",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000104-n000004-0000-6d258b8b1b9ee9e0.parquet",
-      "sha256": "6d258b8b1b9ee9e0689de4eaacd0d2a6a16a6c165c84635718088316853c116d",
-      "bytes": 88913,
-      "rows": 13,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000105.lean\",\"9df3c4e45d51b5fed9b2c539d220c62686a053a889b248140accd7c3d54f9224\",0,\"lean_workbook_12754\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000106.lean\",\"8b0463fde7b0fd83a57019786332ac24bed6f8e632a2c38b42516ad6c4fca5b0\",0,\"lean_workbook_plus_72013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000107.lean\",\"556018e057add8f0af84b72b550e691889d85a5e24d4dc6c98efbd59c6723aa7\",0,\"lean_workbook_plus_63768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88913,
+      "path": "data/train/p61/oproofs-s00002-r00000104-n000004-0000-6d258b8b1b9ee9e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6d258b8b1b9ee9e0689de4eaacd0d2a6a16a6c165c84635718088316853c116d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000108-n000004.json b/manifests/batches/oproofs/s00002-r00000108-n000004.json
index 5d43a55875fdcd638c9e4863052af501cdc12219..1b09ad9d3dc5f03477aa6b5549d743231586ec68 100644
--- a/manifests/batches/oproofs/s00002-r00000108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000108-n000004",
   "batch_fingerprint": "9cc27661a6cd30cd5f3888b4f7f9d41fba0715aacd4e4bae7486ee5021595159",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000108-n000004-0000-a4b9e35693c55a92.parquet",
-      "sha256": "a4b9e35693c55a9288553580d43256556b27387615daf97c9f5056f14a6a10a7",
-      "bytes": 178532,
-      "rows": 17,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000109.lean\",\"436294bcca377619999b73f096229e9a249e4804d53ef887bbbf7aa12c50dead\",0,\"lean_workbook_plus_2897\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000110.lean\",\"1a3e24c12fcf7d7e5e903388bdf264514974335e49d636e4c7cb085eb03f0219\",0,\"lean_workbook_plus_61409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000111.lean\",\"635cc08a996293cf3fd61c0ae6a5bc38572a632cbf3a1a3d5c83981c1e656d4d\",0,\"lean_workbook_plus_48912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178532,
+      "path": "data/train/pa2/oproofs-s00002-r00000108-n000004-0000-a4b9e35693c55a92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a4b9e35693c55a9288553580d43256556b27387615daf97c9f5056f14a6a10a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000112-n000004.json b/manifests/batches/oproofs/s00002-r00000112-n000004.json
index 8a5fc30dbf4eb2876d299309e5d1afb0beb09426..c40c7eced13ce35f148988ea528df91c4e5f783e 100644
--- a/manifests/batches/oproofs/s00002-r00000112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000112-n000004",
   "batch_fingerprint": "bf47e89733296463a3616ec0122ceaeca4cb7213284514054506179de9f887a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000112-n000004-0000-985eb7e722a6130d.parquet",
-      "sha256": "985eb7e722a6130d1210f2220908bdbca86a736b61ec37befb7f1da173b740d3",
-      "bytes": 131919,
-      "rows": 7,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000112-n000004-0000-34b3d00061c22687.parquet",
-      "sha256": "34b3d00061c22687c52d7101ae4731cb6feaa831c5523886e6e13a9108a1f265",
-      "bytes": 423222,
-      "rows": 9,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000113.lean\",\"156e8939ebb2595abfa484329bcfcc046d5d9a218b1081257e5d3479cd1cd622\",0,\"lean_workbook_36162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000114.lean\",\"2fad03b8086a73c4252e09c49f09490164cb0c120e7bafdaf4329dc7f91cc96f\",0,\"lean_workbook_plus_62192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000115.lean\",\"f78d59a6ded84d6f5621f32bc37c1dfb2c73a6845d0c0a5b249f4d324679990f\",0,\"lean_workbook_plus_53152\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131919,
+      "path": "data/train/p5a/oproofs-s00002-r00000112-n000004-0000-985eb7e722a6130d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "985eb7e722a6130d1210f2220908bdbca86a736b61ec37befb7f1da173b740d3"
+    },
+    {
+      "bytes": 423222,
+      "path": "data/internal_test/p5a/oproofs-s00002-r00000112-n000004-0000-34b3d00061c22687.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "34b3d00061c22687c52d7101ae4731cb6feaa831c5523886e6e13a9108a1f265"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000116-n000004.json b/manifests/batches/oproofs/s00002-r00000116-n000004.json
index e50f30d87a0310cc774470c5bf143456700aaa13..f33f2bf191d2d18879fe39afc629345aed1475d1 100644
--- a/manifests/batches/oproofs/s00002-r00000116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000116-n000004",
   "batch_fingerprint": "193387aa88ddc63b3318e4248424a60c2453ebce9ad62db5b51d25bed6bb1c26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000116-n000004-0000-485b9cd1492b588d.parquet",
-      "sha256": "485b9cd1492b588db9aaaa1f3f59a259ab19c916c7f853bad23eee579c7e7e81",
-      "bytes": 167333,
-      "rows": 18,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000117.lean\",\"12cd64c4b69435e794d63564255f6f5af08bcaafaebe35e36586128a9518373c\",0,\"lean_workbook_plus_63303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000118.lean\",\"a2d4b4a2ccb70ef2e5652df48c1e6dff21fed9fb7a1b398239b6636290051318\",0,\"lean_workbook_plus_70989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000119.lean\",\"5a666a0c3c5a879ea8b96e8e30bce6ee4d80396dbdc22675a9f73935d4f43fd9\",0,\"lean_workbook_plus_52255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167333,
+      "path": "data/train/p79/oproofs-s00002-r00000116-n000004-0000-485b9cd1492b588d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "485b9cd1492b588db9aaaa1f3f59a259ab19c916c7f853bad23eee579c7e7e81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000120-n000004.json b/manifests/batches/oproofs/s00002-r00000120-n000004.json
index 5d8d1795349dd58d5763d23607e0f5a684cc2636..0aea1faa7545192077c739022b2db148ed11b1ab 100644
--- a/manifests/batches/oproofs/s00002-r00000120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000120-n000004",
   "batch_fingerprint": "33d34807fa38fb751bbc09c2b9964043272259d480495169396a48145fbd18ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000120-n000004-0000-716ad7f0fef2b83f.parquet",
-      "sha256": "716ad7f0fef2b83f56b6492c4039bc7c456bb984c00a41faf1ded00de12b1511",
-      "bytes": 204172,
-      "rows": 12,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000120-n000004-0000-c6bff65685930a6e.parquet",
-      "sha256": "c6bff65685930a6ea0cd67aa98f0f6069ab66a21cb673d0198c83efae60f6c31",
-      "bytes": 86654,
-      "rows": 6,
-      "revision": "e2d9c88755f65f201ef1a1749f3fc0c7a7db8693"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000121.lean\",\"d41d673c2f9893d6e3e2b72491256d33ca8f068774358be2bb387d3467e47f5d\",0,\"lean_workbook_plus_79609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000122.lean\",\"e461c37df2a243b5de4d519383f6f9f5613b9b51fea65e4c66810031aaaf1eff\",0,\"lean_workbook_plus_13842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000123.lean\",\"8e5ea205c12304c65470520b542e52c1f8948efc4590ebe66150a7e5e4c5766c\",0,\"min_max_triangle_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204172,
+      "path": "data/train/pb7/oproofs-s00002-r00000120-n000004-0000-716ad7f0fef2b83f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "716ad7f0fef2b83f56b6492c4039bc7c456bb984c00a41faf1ded00de12b1511"
+    },
+    {
+      "bytes": 86654,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00000120-n000004-0000-c6bff65685930a6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c6bff65685930a6ea0cd67aa98f0f6069ab66a21cb673d0198c83efae60f6c31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000124-n000004.json b/manifests/batches/oproofs/s00002-r00000124-n000004.json
index fda9ce411a6eb9f1c403296d18434d784caf548b..4e1e1cb3af4bd63cca914f085cd4707b8092ec9c 100644
--- a/manifests/batches/oproofs/s00002-r00000124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000124-n000004",
   "batch_fingerprint": "5741ba1420b32b994a48d4e757f4a7d20a97c6bcf0d839bc125d464f72a78212",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:124",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:125",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:126",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:127"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000124.lean\",\"d91683dcf003e134fc57727a84454a571ffd2fffcb3856c08a94977a594cfc72\",0,\"lean_workbook_plus_15051\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000125.lean\",\"3db604511910e503364e0f7090b25033303ada34912d945e3dae64598357277b\",0,\"lean_workbook_plus_42143\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000126.lean\",\"40fd47d74d0e3d280c59c7bda925013f9db2c74ec8a57a6f6c7cc0936447f2e7\",0,\"lean_workbook_plus_71022\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000127.lean\",\"67d6a98c585e2256c59ee9746ff68b93462b9470c70f1aa04220f1c67131a61c\",0,\"lean_workbook_plus_75349\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000124-n000004-0000-b6c69a12f214e924.parquet",
-      "sha256": "b6c69a12f214e92476411f0d955adefcad78a8e8e2d90c290b27a7a0129085f7",
       "bytes": 585164,
+      "path": "data/train/pef/oproofs-s00002-r00000124-n000004-0000-b6c69a12f214e924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
+      "sha256": "b6c69a12f214e92476411f0d955adefcad78a8e8e2d90c290b27a7a0129085f7"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000124-n000004-0000-3ea23686e40262de.parquet",
-      "sha256": "3ea23686e40262de3114acd1554fb589af863ec3895e0e492df55067827e5939",
       "bytes": 49449,
+      "path": "data/dev/pef/oproofs-s00002-r00000124-n000004-0000-3ea23686e40262de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
+      "sha256": "3ea23686e40262de3114acd1554fb589af863ec3895e0e492df55067827e5939"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000124-n000004-0000-51f959d0faa3f02b.parquet",
-      "sha256": "51f959d0faa3f02ba864918d08630e7f412f4cc0ae486ed2cd3c79b71dfa303c",
       "bytes": 155695,
+      "path": "data/internal_test/pef/oproofs-s00002-r00000124-n000004-0000-51f959d0faa3f02b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c47a9809ee501f880257370ce9866f6065649ba8"
+      "sha256": "51f959d0faa3f02ba864918d08630e7f412f4cc0ae486ed2cd3c79b71dfa303c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:124",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:125",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:126",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:127"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000124.lean\",\"d91683dcf003e134fc57727a84454a571ffd2fffcb3856c08a94977a594cfc72\",0,\"lean_workbook_plus_15051\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000125.lean\",\"3db604511910e503364e0f7090b25033303ada34912d945e3dae64598357277b\",0,\"lean_workbook_plus_42143\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000126.lean\",\"40fd47d74d0e3d280c59c7bda925013f9db2c74ec8a57a6f6c7cc0936447f2e7\",0,\"lean_workbook_plus_71022\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000127.lean\",\"67d6a98c585e2256c59ee9746ff68b93462b9470c70f1aa04220f1c67131a61c\",0,\"lean_workbook_plus_75349\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000128-n000004.json b/manifests/batches/oproofs/s00002-r00000128-n000004.json
index 1c959230aa20bdceb0e13c3fbee04e48305555c1..e0ffebec0518eaa46e44f356109d84c45a24d2bb 100644
--- a/manifests/batches/oproofs/s00002-r00000128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000128-n000004",
   "batch_fingerprint": "ac2df45cacc49d586d5b5b1eb829c5a7ea3ca63724c1efaa49bee251242e9940",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000128-n000004-0000-0ee314007fec3e69.parquet",
-      "sha256": "0ee314007fec3e69834323a2c59a5886c8e7ba24dc77eedad57e8325487ddf6c",
-      "bytes": 161560,
-      "rows": 16,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000129.lean\",\"cb14616fc7beadbdba3ba515659d61af7f09ee81f8f07e3cd69e98722a361f54\",0,\"lean_workbook_plus_37050\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000130.lean\",\"b3b4f9469eec1d3e943acc55a733d6e4b8c69cc6e7c0c1e83a56da8e9cb063a6\",0,\"lean_workbook_24578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000131.lean\",\"23c94e8c30e65825d971cc84e6de2c491b550fcadee506ad31d044b8bb3451af\",0,\"lean_workbook_plus_27364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161560,
+      "path": "data/train/p0f/oproofs-s00002-r00000128-n000004-0000-0ee314007fec3e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0ee314007fec3e69834323a2c59a5886c8e7ba24dc77eedad57e8325487ddf6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000132-n000004.json b/manifests/batches/oproofs/s00002-r00000132-n000004.json
index 1dad3f901dbedfc8ac4085e20d9f98d6f0b99913..34ff4e202c372cda5e119e212c64d6a071b96e16 100644
--- a/manifests/batches/oproofs/s00002-r00000132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000132-n000004",
   "batch_fingerprint": "8f7658194c69eab5afb37e8762ddd4bcd01a19fd164b59ae10d716c6eb6cce2d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000132-n000004-0000-16f980360a22e02d.parquet",
-      "sha256": "16f980360a22e02ddd8bcb66c46d2173370a6fe8fec17ef9ee5041ac87c9a19c",
-      "bytes": 177291,
-      "rows": 18,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000133.lean\",\"9e4e71485587e9fa92eabf0e70287cdffa34ac19043820db28a8473901a8942c\",0,\"lean_workbook_21903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000134.lean\",\"6c7bdf4b4260c752b2b2c905998dbe9af26852f5658521228a28822dd9221659\",0,\"lean_workbook_29021\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000135.lean\",\"fe4b5770c67b6cea390de543b98da014924abefb9bb6a4bc607882d2d1b7b51b\",0,\"lean_workbook_plus_25840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177291,
+      "path": "data/train/p19/oproofs-s00002-r00000132-n000004-0000-16f980360a22e02d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "16f980360a22e02ddd8bcb66c46d2173370a6fe8fec17ef9ee5041ac87c9a19c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000136-n000004.json b/manifests/batches/oproofs/s00002-r00000136-n000004.json
index 8df6bfd3a41ac9637c9aa75a5abf2f60b7bf97d4..d917a4df56d28fc9027e3384979ca53807c9bc49 100644
--- a/manifests/batches/oproofs/s00002-r00000136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000136-n000004",
   "batch_fingerprint": "6d67007954f06988dd446a3b6c316518dae13892f998201b2f6bfee11669afa0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000136-n000004-0000-4624f908a490950e.parquet",
-      "sha256": "4624f908a490950efee3e15a72669534a2523164ef61493173a29f71818bf0cf",
-      "bytes": 193907,
-      "rows": 18,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:137",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000137.lean\",\"e41de71c6da998c11750dce447a26d7ba805dc0cf98045e08e59618cd9564ac3\",0,\"lean_workbook_45171\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000138.lean\",\"e531a6b13a1783312ac354907e3ccea23fed73c1071ce3774c236da5737a7dd4\",0,\"lean_workbook_48163\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000139.lean\",\"b50532e6c2e227c7ce8b99f429cd3cfed86d677885801198ea3d256390a186fd\",0,\"lean_workbook_plus_3617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193907,
+      "path": "data/train/pcf/oproofs-s00002-r00000136-n000004-0000-4624f908a490950e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4624f908a490950efee3e15a72669534a2523164ef61493173a29f71818bf0cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000140-n000004.json b/manifests/batches/oproofs/s00002-r00000140-n000004.json
index 05f5d2f71ad7d0260d6ba5e19f7208075867276e..40dce6057bd579ac7d9d74d435ef24cd49440bf8 100644
--- a/manifests/batches/oproofs/s00002-r00000140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000140-n000004",
   "batch_fingerprint": "928054a4c73facdafbb554a83ad3c04d8a7df11f976ccfb020aa354616eb1aa0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000140-n000004-0000-e36a0d846ffb55cc.parquet",
-      "sha256": "e36a0d846ffb55cc9c86d9853205c905c9a784e7c300c79dc236cb3e505e424c",
-      "bytes": 312303,
-      "rows": 11,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000140-n000004-0000-f8dfef21f2b9f9c8.parquet",
-      "sha256": "f8dfef21f2b9f9c87c02270f9bc889b0922d8db49ce6278dcb7c003f32f711ab",
-      "bytes": 81374,
-      "rows": 6,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000141.lean\",\"17526eb8469a1879309b08fda31cceb0bbce0e88b8b24fb4efb2f12aa7d1f35b\",0,\"lean_workbook_plus_38643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000142.lean\",\"75176f9fcaa8be8051b96264b56dcf57b0bc3e9bdbb1c5a41dd0e62e3f319d13\",0,\"lean_workbook_plus_32200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000143.lean\",\"3f69881687d496142122a1b18ddec9e41fdac94fab2a2424f271601af59ac294\",0,\"lean_workbook_13179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312303,
+      "path": "data/train/pb9/oproofs-s00002-r00000140-n000004-0000-e36a0d846ffb55cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e36a0d846ffb55cc9c86d9853205c905c9a784e7c300c79dc236cb3e505e424c"
+    },
+    {
+      "bytes": 81374,
+      "path": "data/dev/pb9/oproofs-s00002-r00000140-n000004-0000-f8dfef21f2b9f9c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f8dfef21f2b9f9c87c02270f9bc889b0922d8db49ce6278dcb7c003f32f711ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000144-n000004.json b/manifests/batches/oproofs/s00002-r00000144-n000004.json
index c2671af15793ab2283dda8036d163f8990c2d8ba..fbc5e6af3f231cf13e2fae9ac77c3ff017413175 100644
--- a/manifests/batches/oproofs/s00002-r00000144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000144-n000004",
   "batch_fingerprint": "01ad59d31f052d397080ffeb6a86d6f42b8088c9bee13c8edae266b513a75353",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000144-n000004-0000-040c69fb8cf80a17.parquet",
-      "sha256": "040c69fb8cf80a17fd43d9f0b5678fbbcf3f5d8fc1b7f58885f768dc48f55add",
-      "bytes": 114859,
-      "rows": 22,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000145.lean\",\"72176e11b1d5988da16af6bf08a56a1413838108b63f297ea035f7fc5d9bd5e6\",0,\"lean_workbook_plus_28803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000146.lean\",\"c353fbd0e03d8ba08c6407260d920262341309cb575b21d4a3c5b12cbde8a377\",0,\"lean_workbook_plus_53787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000147.lean\",\"aebc5d4cd768f1357844c571d7ee5d44bf782b7725fb3780511ff82020b201fa\",0,\"lean_workbook_plus_72051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114859,
+      "path": "data/train/pa7/oproofs-s00002-r00000144-n000004-0000-040c69fb8cf80a17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "040c69fb8cf80a17fd43d9f0b5678fbbcf3f5d8fc1b7f58885f768dc48f55add"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000148-n000004.json b/manifests/batches/oproofs/s00002-r00000148-n000004.json
index 639d3d1ffc9eb99efc0755cf69fb20a3a1141e74..e93bad4a3c25a49f1ed6d8313b2bec6bf5802d97 100644
--- a/manifests/batches/oproofs/s00002-r00000148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000148-n000004",
   "batch_fingerprint": "5380b40980287588e76f4c5cc32bd71e63276351de5ad84ef86087f9dbef9db8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000148-n000004-0000-f04e01999bd05f30.parquet",
-      "sha256": "f04e01999bd05f30242858b617ccedf405941096c254602c8ad9d17541c0cc37",
-      "bytes": 412496,
-      "rows": 20,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000149.lean\",\"28c57c78e3957a3d82ec14c1367dd04cf50e17c14f8885a0b89eaccdaac306d4\",0,\"lean_workbook_plus_33215\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000150.lean\",\"393240038405a2238a79378326b7544e672710d29ef4c75542b4884334bc6cb5\",0,\"lean_workbook_plus_80539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000151.lean\",\"f956267f48be301dc26a2e8e1092e8ef75a13c0dcf53bc58c81307b55e7daa59\",0,\"lean_workbook_plus_43193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412496,
+      "path": "data/train/p17/oproofs-s00002-r00000148-n000004-0000-f04e01999bd05f30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f04e01999bd05f30242858b617ccedf405941096c254602c8ad9d17541c0cc37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000152-n000004.json b/manifests/batches/oproofs/s00002-r00000152-n000004.json
index e7773a620e18b32dd3dfdb1797f672c73fdf7de1..089bfeccc4f56ab60a000abe861fc275a9eeadce 100644
--- a/manifests/batches/oproofs/s00002-r00000152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000152-n000004",
   "batch_fingerprint": "2c6f37d47342c70cbbf7fc250eab6f2aeddc8157a4fed7f94a415100913068e7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000152-n000004-0000-df4b656b20a84659.parquet",
-      "sha256": "df4b656b20a846592797fc5fc937d02159c32db700b261182882144a612d6328",
-      "bytes": 500608,
-      "rows": 30,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000153.lean\",\"97759e9e9aafe167c46086e4317abd9db5741f5125ebcc46898bcc57c4e78635\",0,\"lean_workbook_plus_43754\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000154.lean\",\"f71ed7b146743e130d379df41ccebed3e4868dbaafbbcb66ee685e8c4c73dd29\",0,\"sin_cos_one_relation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000155.lean\",\"f90c6e307bc87d01ae5535f0539d100cd1364ab7bd68d471b34a10576c05ee14\",0,\"lean_workbook_plus_55186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 500608,
+      "path": "data/train/p49/oproofs-s00002-r00000152-n000004-0000-df4b656b20a84659.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "df4b656b20a846592797fc5fc937d02159c32db700b261182882144a612d6328"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000156-n000004.json b/manifests/batches/oproofs/s00002-r00000156-n000004.json
index 1f60b03991a6ebcb41534a81b776cc993e746d3f..581b01ae0f18750d085bec5d7f1864594a6fca41 100644
--- a/manifests/batches/oproofs/s00002-r00000156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000156-n000004",
   "batch_fingerprint": "5aa34ff70631a3b695eca2a8c3d05545eb55f87300aa8123a2efdf2d9d6effa5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000156-n000004-0000-ebf6854aff890091.parquet",
-      "sha256": "ebf6854aff890091812c0ab89070df1447678e92223eca25548bf6d8a4cd8f12",
-      "bytes": 485272,
-      "rows": 31,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000157.lean\",\"229983c384d901690d26bb476365ff72a1f65add738d28a48ce8ef3a680a3195\",0,\"lean_workbook_43926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000158.lean\",\"0a5237834bc35925c0e364c1b9e7356c68c4bec20089676b7dd440ff8c784887\",0,\"lean_workbook_16667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000159.lean\",\"015bd1da375c19ab3aa3c96990652a35569e41c14d1a13d0871fb6f01dd076cc\",0,\"lean_workbook_plus_46935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 485272,
+      "path": "data/train/pf0/oproofs-s00002-r00000156-n000004-0000-ebf6854aff890091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "ebf6854aff890091812c0ab89070df1447678e92223eca25548bf6d8a4cd8f12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000160-n000004.json b/manifests/batches/oproofs/s00002-r00000160-n000004.json
index 910b8b0b6ab66248874d323b130d6614c82877fb..fcbcda16a1e2c3a4d35a252bb8489960c93ffd91 100644
--- a/manifests/batches/oproofs/s00002-r00000160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000160-n000004",
   "batch_fingerprint": "5f5693c04603ba14a02ef9f605138f7a9da04ba1b7bc1950688fad9f9e654482",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000160-n000004-0000-d1322d88dfe3cf9e.parquet",
-      "sha256": "d1322d88dfe3cf9e472fc51f5688a800d351b0dfd87cb966a890dbadb32a0a18",
-      "bytes": 623542,
-      "rows": 28,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000161.lean\",\"7c192ce9fdd44a28d37410e85b7c6df574231a57c39db25898afc8c17fa6d64b\",0,\"lean_workbook_plus_58999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000162.lean\",\"03d20d4568fdeee93ef7e20ae1564efc38fd4b4ef717015215d67c846424e07c\",0,\"lean_workbook_29573\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000163.lean\",\"2351b2fb4a56802bfd0aba197c411b0bd67b02d1837cfb7ee0a804e81939d008\",0,\"lean_workbook_plus_36356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 623542,
+      "path": "data/train/p78/oproofs-s00002-r00000160-n000004-0000-d1322d88dfe3cf9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "d1322d88dfe3cf9e472fc51f5688a800d351b0dfd87cb966a890dbadb32a0a18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000164-n000004.json b/manifests/batches/oproofs/s00002-r00000164-n000004.json
index 464f2cbd61e5af8cafce751569aa8da600fc95a9..ce0299c5664680282d8dbbc1440a692a85ddc6a4 100644
--- a/manifests/batches/oproofs/s00002-r00000164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000164-n000004",
   "batch_fingerprint": "427fec2f98aa18f8407db1e3966f03e4ba36e6e34c95d8db3fba416f59037019",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000164-n000004-0000-a6958e586d2670ed.parquet",
-      "sha256": "a6958e586d2670ede4cd7622f8cb53aa1c7a3921681e539bce96a1f80d2b35cd",
-      "bytes": 94905,
-      "rows": 15,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:165",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000165.lean\",\"347cacb9d71758827f6508ea4b7db9b1e1503dcc00590a0fcd80f93e6a6297aa\",0,\"lean_workbook_32699\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000166.lean\",\"66f9e8928379d3da33ae67933188fe1a7fa1fdf33b222799e8a98e21587e1d95\",0,\"lean_workbook_plus_22218\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000167.lean\",\"632c9d86c98227b09100b3f816bde1fa0daa6d8eb1f5147d1eca1b80b74c8074\",0,\"lean_workbook_plus_35432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94905,
+      "path": "data/train/pbf/oproofs-s00002-r00000164-n000004-0000-a6958e586d2670ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a6958e586d2670ede4cd7622f8cb53aa1c7a3921681e539bce96a1f80d2b35cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000168-n000004.json b/manifests/batches/oproofs/s00002-r00000168-n000004.json
index d36e917fcd8c832fb3b943dc7f3893c5687e9707..c40ea379493864758e44f677cd9f0ae38fa8175b 100644
--- a/manifests/batches/oproofs/s00002-r00000168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000168-n000004",
   "batch_fingerprint": "1c926bded06d6150c123d348f5bc466ddda775e0e1d07bc1cae42a9ed2c5bed5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000168-n000004-0000-22ca0422cc982be7.parquet",
-      "sha256": "22ca0422cc982be702988cfe0e6e784eaa29ab9ae5d2756fa99bad495418b28d",
-      "bytes": 254471,
-      "rows": 23,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000169.lean\",\"20146ded15dc694e8989e73c709a73a572ca650739ebc8c2c7fb894a02f0422e\",0,\"lean_workbook_plus_65690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000170.lean\",\"0a785857fd94685aeb6afc3ac85a5c0106b24c0d8763f261446b209c0507de2a\",0,\"lean_workbook_26856\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000171.lean\",\"a0c1ed7c6ef8b885201a41efd12140a5ab6442e86b91a1faa2dec39d935e1985\",0,\"lean_workbook_2819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254471,
+      "path": "data/train/pc0/oproofs-s00002-r00000168-n000004-0000-22ca0422cc982be7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "22ca0422cc982be702988cfe0e6e784eaa29ab9ae5d2756fa99bad495418b28d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000172-n000004.json b/manifests/batches/oproofs/s00002-r00000172-n000004.json
index 96b153c6937fd17fabd86a1c6713ac5bdf4511b8..7013d6263f661af5ae4f86d29b5afec28e78cec6 100644
--- a/manifests/batches/oproofs/s00002-r00000172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000172-n000004",
   "batch_fingerprint": "e5377926edfa0379aa235efbfdff2b600abcb9307fd424e7bfb1e44abbd5b3f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000172-n000004-0000-0bb64a384051dbaf.parquet",
-      "sha256": "0bb64a384051dbaf188cff308d4adc18f189d7036765678e70172f6bda78b463",
-      "bytes": 317489,
-      "rows": 18,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000173.lean\",\"f595a33ebc2a1797a6d7e5c6abefadec9a6a8b5ffbec4d67f7c24aa5ed8f2936\",0,\"lean_workbook_plus_46377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000174.lean\",\"25d0dbf16a8a9c935b886cca88791e52a9f46de10cd6c48012f02aee6f6363db\",0,\"lean_workbook_plus_15082\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000175.lean\",\"f9e0578c87c0972ffc074f10167be66318a98c6e4580dd4a0b8997eb793d5deb\",0,\"lean_workbook_plus_14689\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317489,
+      "path": "data/train/p83/oproofs-s00002-r00000172-n000004-0000-0bb64a384051dbaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0bb64a384051dbaf188cff308d4adc18f189d7036765678e70172f6bda78b463"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000176-n000004.json b/manifests/batches/oproofs/s00002-r00000176-n000004.json
index d77d68a08dfda5c45c7847b8473730f893401abf..79783a0905a238477cb3f9a2dfb30e0eaba08803 100644
--- a/manifests/batches/oproofs/s00002-r00000176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000176-n000004",
   "batch_fingerprint": "24f6f1cbf8448921ce728b7d12dc12f066aa8d979c86f09a210f31eeeb67c3da",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:176",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:177",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:178",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:179"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000176.lean\",\"3c4dbed437fa5a2cfbb0bfb136bbd226e4bc6dbfeb73f463737d58a24e720490\",0,\"lean_workbook_plus_59902\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000177.lean\",\"2b5381664806f06974f8fac59a3ba6cdf6dc21cad6391809f264068555d19e0f\",0,\"lean_workbook_plus_41396\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000178.lean\",\"994966a1b3a6025739397bc2b60647bf29feaff27792712fc5a63ea7f9200de7\",0,\"lean_workbook_plus_41234\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000179.lean\",\"9335b7fc4c42a29b34b8bc1d7dc72a5631730f2810b0e12e15d0df40fafbef4c\",0,\"lean_workbook_plus_74552\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000176-n000004-0000-7d2e836f527868bf.parquet",
-      "sha256": "7d2e836f527868bf3b5d6c6610a5479ddb46e5f500286a8ac226742debabe55e",
       "bytes": 166343,
+      "path": "data/train/p9b/oproofs-s00002-r00000176-n000004-0000-7d2e836f527868bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
+      "sha256": "7d2e836f527868bf3b5d6c6610a5479ddb46e5f500286a8ac226742debabe55e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000176-n000004-0000-57ee8d092d0d075b.parquet",
-      "sha256": "57ee8d092d0d075bcb59cc9d4f94e86bd644ab2eb38d2848b6ebd8ea653d5d8f",
       "bytes": 286331,
+      "path": "data/dev/p9b/oproofs-s00002-r00000176-n000004-0000-57ee8d092d0d075b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
+      "sha256": "57ee8d092d0d075bcb59cc9d4f94e86bd644ab2eb38d2848b6ebd8ea653d5d8f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000176-n000004-0000-5807a189239e70d7.parquet",
-      "sha256": "5807a189239e70d7e035dd5850856440e2e1403392394918ed59c380b0d30cb5",
       "bytes": 36653,
+      "path": "data/internal_test/p9b/oproofs-s00002-r00000176-n000004-0000-5807a189239e70d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
+      "sha256": "5807a189239e70d7e035dd5850856440e2e1403392394918ed59c380b0d30cb5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:176",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:177",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:178",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:179"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000176.lean\",\"3c4dbed437fa5a2cfbb0bfb136bbd226e4bc6dbfeb73f463737d58a24e720490\",0,\"lean_workbook_plus_59902\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000177.lean\",\"2b5381664806f06974f8fac59a3ba6cdf6dc21cad6391809f264068555d19e0f\",0,\"lean_workbook_plus_41396\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000178.lean\",\"994966a1b3a6025739397bc2b60647bf29feaff27792712fc5a63ea7f9200de7\",0,\"lean_workbook_plus_41234\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000179.lean\",\"9335b7fc4c42a29b34b8bc1d7dc72a5631730f2810b0e12e15d0df40fafbef4c\",0,\"lean_workbook_plus_74552\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000180-n000004.json b/manifests/batches/oproofs/s00002-r00000180-n000004.json
index b7e798b283944f0a8e830163d866464743eb5f3b..0b107406daf64004d1a4cd958783470bf1f1f86a 100644
--- a/manifests/batches/oproofs/s00002-r00000180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000180-n000004",
   "batch_fingerprint": "19d767e82a6937b2716db500a636fba83b22e90b8bd91ba046a89766496fba8d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000180-n000004-0000-f23b4d37d7bc0575.parquet",
-      "sha256": "f23b4d37d7bc0575446a49262dedce59af72b42b668537b6e5305d526094b483",
-      "bytes": 110490,
-      "rows": 10,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000181.lean\",\"c1b8075c3593f0cdf76fc5da684920a7d1c854d6c92288699d00cfc2a6126736\",1,\"matching_plates_minimal\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000182.lean\",\"bc9f01ba002212400580840814bb5d93e2140fc860539bedda51e9a92185d508\",0,\"lean_workbook_plus_36635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000183.lean\",\"59b1c474f902531e43ae478645f9877c2d638cf142913f949931a6653f71fc46\",0,\"lean_workbook_12754\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110490,
+      "path": "data/train/p72/oproofs-s00002-r00000180-n000004-0000-f23b4d37d7bc0575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f23b4d37d7bc0575446a49262dedce59af72b42b668537b6e5305d526094b483"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000184-n000004.json b/manifests/batches/oproofs/s00002-r00000184-n000004.json
index eb615537602f082e18ebc77323522ed550598599..5481b319054a2d1f66552896bbcdeeed100f5b40 100644
--- a/manifests/batches/oproofs/s00002-r00000184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000184-n000004",
   "batch_fingerprint": "9b32553471e98d51081ac253d5230da10fb1e70d69ecb09a29189bc1bee2c79a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000184-n000004-0000-20fd54983cc29d0d.parquet",
-      "sha256": "20fd54983cc29d0d9498a6b0f5e3dba021c8dca08e6aa103cd275cc366540e02",
-      "bytes": 315250,
-      "rows": 23,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000185.lean\",\"1c88b6acea9d77f9a19e94bbd5bc222f87eb2cf71e80fec7c9621e6b4a20cb91\",0,\"lean_workbook_plus_72013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000186.lean\",\"30172aa9f39f93a1f1beb86e2f51320bc7002ee7b5a3b8dc47b43abf047712b0\",0,\"lean_workbook_plus_63768\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000187.lean\",\"cc4bec081dab998a062c1882f23b0e43b94bd342667597cc0939732019461383\",0,\"lean_workbook_plus_20807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315250,
+      "path": "data/train/pd6/oproofs-s00002-r00000184-n000004-0000-20fd54983cc29d0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "20fd54983cc29d0d9498a6b0f5e3dba021c8dca08e6aa103cd275cc366540e02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000188-n000004.json b/manifests/batches/oproofs/s00002-r00000188-n000004.json
index c2ac3fbf3208b39dc7e859ade232f34a58fd0ac0..7dd7ffc1102d5a30e35872bc699a661f9178c2e0 100644
--- a/manifests/batches/oproofs/s00002-r00000188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000188-n000004",
   "batch_fingerprint": "6628e3731c0f2a19ef98eb91c17e9140dd05dc97c20313d5bbfb5ed86037f503",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000188-n000004-0000-917e79b4a5b7a366.parquet",
-      "sha256": "917e79b4a5b7a3661774b0a3662ece21664ce7cde733a2244622442a728469f3",
-      "bytes": 171109,
-      "rows": 13,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000189.lean\",\"893ca40b5b7bf0b6f0228df69402282066307757e5f0e0493f572196e8aeac07\",0,\"lean_workbook_38200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000190.lean\",\"1b36b7f4ec370be882fa0b820ee970f037c6ed09fae8e4bde426e9c563b9dcd9\",0,\"lean_workbook_12814\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000191.lean\",\"a5987e74317034f7cd187014bb59d10b6e4b56510754b6fc5eb28f48ccc368b2\",0,\"lean_workbook_36162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171109,
+      "path": "data/train/p76/oproofs-s00002-r00000188-n000004-0000-917e79b4a5b7a366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "917e79b4a5b7a3661774b0a3662ece21664ce7cde733a2244622442a728469f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000192-n000004.json b/manifests/batches/oproofs/s00002-r00000192-n000004.json
index 57c49c1f6ac2f4e47e10d59a2c4dc304e50b9545..dd759760584f6f30aecab53832c08bd77f5c78c7 100644
--- a/manifests/batches/oproofs/s00002-r00000192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000192-n000004",
   "batch_fingerprint": "6cfc4f4bec242582048acf312b13118ac450f5d3072b8a15b828afd34b7a0512",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000192-n000004-0000-780247baa7af7776.parquet",
-      "sha256": "780247baa7af7776476070ffd5c3873e29a303c1a4784981ca146f2e169f6d6d",
-      "bytes": 268318,
-      "rows": 12,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000192-n000004-0000-2e8a4061107383b2.parquet",
-      "sha256": "2e8a4061107383b28474556c4c23257b18261e4d559b7b21de0424562186dfde",
-      "bytes": 204561,
-      "rows": 10,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000193.lean\",\"ddd38c9aeee3c96fbbb62823e7f60a0dbc201b05cb4f7b02244a39c6c290f125\",0,\"lean_workbook_plus_21038\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000194.lean\",\"15e9f5a469b3ffa042ca6c449a7c3d8c154a987ed1fbe3fa8f38da34f6701730\",0,\"lean_workbook_plus_77409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000195.lean\",\"db3366f7b0676a930bb7c10056ecb199ad2a5d92804d01a3e49f9957355e229c\",0,\"lean_workbook_plus_49964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268318,
+      "path": "data/train/p96/oproofs-s00002-r00000192-n000004-0000-780247baa7af7776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "780247baa7af7776476070ffd5c3873e29a303c1a4784981ca146f2e169f6d6d"
+    },
+    {
+      "bytes": 204561,
+      "path": "data/dev/p96/oproofs-s00002-r00000192-n000004-0000-2e8a4061107383b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2e8a4061107383b28474556c4c23257b18261e4d559b7b21de0424562186dfde"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000196-n000004.json b/manifests/batches/oproofs/s00002-r00000196-n000004.json
index 04434722f61e5129b8ecfea77f3e49f924a9e998..972954dc6cde3fd09d50341630d1823848cdb8e8 100644
--- a/manifests/batches/oproofs/s00002-r00000196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000196-n000004",
   "batch_fingerprint": "664a3071f2f2d92593a1a2fd5d1fa1be453b24c1bdcb91fed8db668344484d77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000196-n000004-0000-8cdcec195ab3f4e4.parquet",
-      "sha256": "8cdcec195ab3f4e442c28ec4d65fd2b60c3be90c996939838d45cf3f211ca31b",
-      "bytes": 77381,
-      "rows": 11,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000196-n000004-0000-c3e7cabd7a572404.parquet",
-      "sha256": "c3e7cabd7a572404b8ccb1e33ee49004899e07fea330a648519e4f35adb3ebcd",
-      "bytes": 202534,
-      "rows": 6,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:197",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000197.lean\",\"b80f100c744b2b2d4ae7bc2709b2556271845360d5f8e188659920bd5e7c90c8\",0,\"lean_workbook_plus_70989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000198.lean\",\"976dc36130c25db534db98607f3832094714b0be9172b43cb95ee153022c07b5\",0,\"lean_workbook_31925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000199.lean\",\"33682329b346ffaea2abf9ebda8207f6e1d3a7f6f16d69bd59c57dfeafed958b\",0,\"lean_workbook_plus_62192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77381,
+      "path": "data/train/p2c/oproofs-s00002-r00000196-n000004-0000-8cdcec195ab3f4e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8cdcec195ab3f4e442c28ec4d65fd2b60c3be90c996939838d45cf3f211ca31b"
+    },
+    {
+      "bytes": 202534,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00000196-n000004-0000-c3e7cabd7a572404.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c3e7cabd7a572404b8ccb1e33ee49004899e07fea330a648519e4f35adb3ebcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000200-n000004.json b/manifests/batches/oproofs/s00002-r00000200-n000004.json
index fa5a19bca16c5c472581922b1fd40b82fd1b8998..8a7e06e26d9ef1dd56ee05c472b8fb8be7d629a7 100644
--- a/manifests/batches/oproofs/s00002-r00000200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000200-n000004",
   "batch_fingerprint": "9a3f5a085ff6df5f6481f834b79b015cdfdc8bdd59c744723e230297c435da42",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000200-n000004-0000-8120f30c257cd57a.parquet",
-      "sha256": "8120f30c257cd57ae7db8a8c57826dc35c22924a3f77341a05d37b66b00a8967",
-      "bytes": 232212,
-      "rows": 11,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000201.lean\",\"aedcfecb53b7d20096c07a95db1fd7b4e9066d3ab865c7fba667a9d3aaf8159b\",0,\"lean_workbook_plus_16586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000202.lean\",\"c37c7f9a9f4c60ae9ac714c60179fdbbd329b29bbcaa37d744ad582e124f5660\",0,\"lean_workbook_plus_22725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000203.lean\",\"a5b4b51ade691c09e52d07249dcf5421e2d8989350b8507d356a6dd696c78c98\",0,\"lean_workbook_plus_54142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232212,
+      "path": "data/train/pee/oproofs-s00002-r00000200-n000004-0000-8120f30c257cd57a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8120f30c257cd57ae7db8a8c57826dc35c22924a3f77341a05d37b66b00a8967"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000204-n000004.json b/manifests/batches/oproofs/s00002-r00000204-n000004.json
index 1280b23017f1201bbfb85f1fa9998871bd112ba5..11059c8bf8ba2f01997b786d74895d78153705bd 100644
--- a/manifests/batches/oproofs/s00002-r00000204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000204-n000004",
   "batch_fingerprint": "84933e91cb28682fa14723f48351cc24609d58465fe4dc6f5a8968d808b012f6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000204-n000004-0000-45e6ae0812149d30.parquet",
-      "sha256": "45e6ae0812149d308253ff0d3fb836da0253bfda9ffe78704acfd8093482b079",
-      "bytes": 460281,
-      "rows": 15,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000204-n000004-0000-bcb83f205c0899e4.parquet",
-      "sha256": "bcb83f205c0899e4c3a93002bc753ec5e7719553b0f0f6057b243cccff02dad1",
-      "bytes": 195847,
-      "rows": 8,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000205.lean\",\"08dc6ad4ba749f53b20372870af985626ba2a0d0c3745d9b096d5449d68f5e74\",0,\"lean_workbook_plus_67987\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000206.lean\",\"cd2053ce0e7facd4adb6ad1f66a049c5d9b38e69e1e2961c5f95b19fc6a81f38\",0,\"lean_workbook_plus_13842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000207.lean\",\"7b3131f0117f51867c2be5668b1696574747a5f42b332fbcb1b5e9f49434dfde\",0,\"lean_workbook_plus_15051\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 460281,
+      "path": "data/train/pb7/oproofs-s00002-r00000204-n000004-0000-45e6ae0812149d30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "45e6ae0812149d308253ff0d3fb836da0253bfda9ffe78704acfd8093482b079"
+    },
+    {
+      "bytes": 195847,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00000204-n000004-0000-bcb83f205c0899e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bcb83f205c0899e4c3a93002bc753ec5e7719553b0f0f6057b243cccff02dad1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000208-n000004.json b/manifests/batches/oproofs/s00002-r00000208-n000004.json
index 471378e6c9a0d88105aac9b6a4049d7bd9aab478..c988c2d86a87cf07b0d18bd0ec7011c00bbd375f 100644
--- a/manifests/batches/oproofs/s00002-r00000208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000208-n000004",
   "batch_fingerprint": "e3942b0966d20d25bb24ba9871f8c823ef03757453b27f644248b80a3915072a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000208-n000004-0000-172d0cf58f0f1743.parquet",
-      "sha256": "172d0cf58f0f1743cde6f853cdb46c679c5a45d4290f8788151880ef2e0e6d66",
-      "bytes": 121013,
-      "rows": 13,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:209",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000209.lean\",\"5f114404379c1e37d91992149714d83e408e075a8341f2fc361d79887b730d9b\",0,\"lean_workbook_41587\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000210.lean\",\"a33609861b2de50274c6866c27867fd15009d88ac266bd5f58ea860fb5837d05\",0,\"lean_workbook_46085\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000211.lean\",\"d96e66f173a4474692e45778dc50c79b089c204843475512183447dd4efbe1a0\",0,\"lean_workbook_plus_27792\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121013,
+      "path": "data/train/pb1/oproofs-s00002-r00000208-n000004-0000-172d0cf58f0f1743.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "172d0cf58f0f1743cde6f853cdb46c679c5a45d4290f8788151880ef2e0e6d66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000212-n000004.json b/manifests/batches/oproofs/s00002-r00000212-n000004.json
index 30903633bc0c197d09d2fe149eb1fb3c91cddef2..4ccce6ea0bffb397b1ad8e3fe04b5d2e4571b2d8 100644
--- a/manifests/batches/oproofs/s00002-r00000212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000212-n000004",
   "batch_fingerprint": "27f332960a0a5ba8ff3601d1f7d4a068eae9d2bc1ccc1dbe6c555b986c4f42a0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000212-n000004-0000-1114d59ecd7b0100.parquet",
-      "sha256": "1114d59ecd7b0100fb61ef839556471c9d9694f029e2dc01ad3a215748c47ed4",
-      "bytes": 194023,
-      "rows": 28,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000213.lean\",\"b05f9a38a7257cbab5e18960b1010efd296270b8b6c53e6b81d38a5958739c48\",0,\"lean_workbook_40221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000214.lean\",\"cd7000dee392258a36197b65e8657bd3b03561707da323a1dc29b3da9901b983\",0,\"lean_workbook_plus_34376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000215.lean\",\"33ff14c88f9d73a531c4d4916a0ee593f97dfd80be106cc289b535ce67d293c0\",0,\"lean_workbook_plus_44269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194023,
+      "path": "data/train/pcd/oproofs-s00002-r00000212-n000004-0000-1114d59ecd7b0100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1114d59ecd7b0100fb61ef839556471c9d9694f029e2dc01ad3a215748c47ed4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000216-n000004.json b/manifests/batches/oproofs/s00002-r00000216-n000004.json
index 360260a7509d662cf92fbee314ef8db09d1e300e..6dffbc7df9e222c86b78be61d6fb8150d0bc9e5b 100644
--- a/manifests/batches/oproofs/s00002-r00000216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000216-n000004",
   "batch_fingerprint": "93551171501e26d65a9706584556c52cf30c47201a5a6b751ded34575b5a5473",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000216-n000004-0000-df6ee540c6eec364.parquet",
-      "sha256": "df6ee540c6eec364f09e36c2c7b9b51dcf8cc232eb89cfadb27e222bc4d33e0c",
-      "bytes": 497685,
-      "rows": 20,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000217.lean\",\"02918e470f5fa5cbb54b8af6683feb1ae97f7af425ce6bb87800164b4623f687\",0,\"lean_workbook_plus_3040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000218.lean\",\"56fbf223746520c698a421c9fb296cf7e8fb9198317dac4cd129c6509fafd8af\",0,\"lean_workbook_plus_60687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000219.lean\",\"e51799815807b61ad504c53fa18d3c99bd2f6b8bd6a41ec3f97934ffff6d68f9\",0,\"lean_workbook_plus_56296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497685,
+      "path": "data/train/p28/oproofs-s00002-r00000216-n000004-0000-df6ee540c6eec364.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "df6ee540c6eec364f09e36c2c7b9b51dcf8cc232eb89cfadb27e222bc4d33e0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000220-n000004.json b/manifests/batches/oproofs/s00002-r00000220-n000004.json
index 5ef1f6e03a0b817d159c893460ae642f7626c369..424422f622cf29b72d4c4f656709da0d3a009cb2 100644
--- a/manifests/batches/oproofs/s00002-r00000220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000220-n000004",
   "batch_fingerprint": "a39de65186cff865afe73510a2ece0698d0d2010ff7fcee1dbc65a37774b0aac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000220-n000004-0000-e9c2f01e5381ea64.parquet",
-      "sha256": "e9c2f01e5381ea64271c2d3f76b84c3883c27cf8ce8d1847eb0b6cc9523ab14a",
-      "bytes": 466233,
-      "rows": 12,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000221.lean\",\"f5ae4d7383ccaccf68662131dc6d8d1e259c27c7d38d3aefd6adf85966047738\",0,\"lean_workbook_plus_63828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000222.lean\",\"53b0121bfe15f4f9051da27ed981a7f84f3c40e3eef60fc558e940a6dea4efd2\",0,\"lean_workbook_33276\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000223.lean\",\"2c795fdb3ae8198bef7594ecc539ca32d46195cce4fcc18e64ce63ac8b5f0ce0\",0,\"lean_workbook_plus_26642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466233,
+      "path": "data/train/p14/oproofs-s00002-r00000220-n000004-0000-e9c2f01e5381ea64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e9c2f01e5381ea64271c2d3f76b84c3883c27cf8ce8d1847eb0b6cc9523ab14a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000224-n000004.json b/manifests/batches/oproofs/s00002-r00000224-n000004.json
index 0688049a130ed2fdd4b9b32aaf115a3c9b351781..e4c991b375e8c731ab236cf3aeb3eeb4e04ba48a 100644
--- a/manifests/batches/oproofs/s00002-r00000224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000224-n000004",
   "batch_fingerprint": "35a2445d3bbdee643b5fe1bb26da40025906b8bae4821675dfbdc22f52955882",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000224-n000004-0000-2ea23e2df248ab38.parquet",
-      "sha256": "2ea23e2df248ab38e36845b3421e4cfb3c11cca07bbd01b111e05122dfce59d6",
-      "bytes": 279024,
-      "rows": 21,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000224-n000004-0000-1dea7f4ca3085bf3.parquet",
-      "sha256": "1dea7f4ca3085bf36edd225a77ef3a27d4b4c0f89010e99c146361915d67bcb6",
-      "bytes": 68083,
-      "rows": 4,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:225",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000225.lean\",\"9613b04179c996a41bcb16ad1c89d237ae220f061ba332075ea52d1d0457df48\",0,\"lean_workbook_36101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000226.lean\",\"0e717d428d9b610c99102a72f3e4c3857c7de6a0fe323990209a13c4fc1e1a8e\",0,\"lean_workbook_plus_76483\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000227.lean\",\"3e2f40d228994faafaec4273fecfd08a29b420bb3e8a12e21dd5a6de746c31a3\",0,\"lean_workbook_plus_43309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279024,
+      "path": "data/train/p2d/oproofs-s00002-r00000224-n000004-0000-2ea23e2df248ab38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2ea23e2df248ab38e36845b3421e4cfb3c11cca07bbd01b111e05122dfce59d6"
+    },
+    {
+      "bytes": 68083,
+      "path": "data/dev/p2d/oproofs-s00002-r00000224-n000004-0000-1dea7f4ca3085bf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1dea7f4ca3085bf36edd225a77ef3a27d4b4c0f89010e99c146361915d67bcb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000228-n000004.json b/manifests/batches/oproofs/s00002-r00000228-n000004.json
index 1d6369f266a259c1dfc0a7f7c692e0f646773d02..b8ffd893cb048a06d26e0b7d26377976bd41127e 100644
--- a/manifests/batches/oproofs/s00002-r00000228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000228-n000004",
   "batch_fingerprint": "fae36e8debd2509c5731f9bf676c23c04e7d5c58f3db68e1d1bd7e632785e480",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000228-n000004-0000-bfb60cd2a304b619.parquet",
-      "sha256": "bfb60cd2a304b61958089c6f13072efe58da1e6630fc0abbaa6c149f5696ecf2",
-      "bytes": 109227,
-      "rows": 11,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:229",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000229.lean\",\"6c0c27fcebb90aeebc94bd71caa10f4c56810ae50fbe563070a4f767029d2276\",0,\"lean_workbook_plus_60876\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000230.lean\",\"a8db87d632adf97949d8c6db6ee34b5d2405b4921d1fc3162d1b4abc9acd6642\",0,\"lean_workbook_plus_19928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000231.lean\",\"4f0c367b65d3f9bd8c2924379811590e53506be09be827620a74d51bee656aec\",0,\"lean_workbook_plus_14213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109227,
+      "path": "data/train/p6c/oproofs-s00002-r00000228-n000004-0000-bfb60cd2a304b619.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bfb60cd2a304b61958089c6f13072efe58da1e6630fc0abbaa6c149f5696ecf2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000232-n000004.json b/manifests/batches/oproofs/s00002-r00000232-n000004.json
index 5fcb2d81ed5600ca61b60ac8430c3b87407cb767..f27ffbf2ec5650bcedc74ceb33f98bdc9101b315 100644
--- a/manifests/batches/oproofs/s00002-r00000232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000232-n000004",
   "batch_fingerprint": "12474e3f26d290fd4a029d87573f7b6b62498cf7a23c11d8b0e9d4a7e0c23097",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000232-n000004-0000-5645efd623e40dd7.parquet",
-      "sha256": "5645efd623e40dd7db729849a587bf7e424c8df4bcb577e4ab894afca50feffa",
-      "bytes": 118718,
-      "rows": 15,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000233.lean\",\"5b9427d42925514e2e36a200c963fceff9ca34c61e18178f1c5a37953c72658c\",0,\"lean_workbook_plus_50535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000234.lean\",\"5d32590c569cf5dfc576a7adcac7efc82e0a67af086954c5ebb15e7d9722b655\",0,\"lean_workbook_plus_61374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000235.lean\",\"b8be3022a75b3110ca025500044f63fd74a8a1fd05cae0ebdb834e807f131c82\",0,\"lean_workbook_plus_65899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118718,
+      "path": "data/train/p67/oproofs-s00002-r00000232-n000004-0000-5645efd623e40dd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5645efd623e40dd7db729849a587bf7e424c8df4bcb577e4ab894afca50feffa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000236-n000004.json b/manifests/batches/oproofs/s00002-r00000236-n000004.json
index da68b6922d8e1ec5b6818bdb16cc0af32d2166d3..592dfbc51a749647753d883093131df2dc118eb4 100644
--- a/manifests/batches/oproofs/s00002-r00000236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000236-n000004",
   "batch_fingerprint": "b12a5298b8fb10caf14fbe3f3654f2c4d500b2fff73817c41bf3ff1dfa1bae8c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000236-n000004-0000-f2c6c44f11256796.parquet",
-      "sha256": "f2c6c44f112567964a19706e28c858c1ad90083548523320a46a51afa0ad5156",
-      "bytes": 226266,
-      "rows": 17,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000237.lean\",\"1bde4ddbcf5130694bff7f820c6ef61f022648bcefffd7ef18937dd8d82460a4\",0,\"lean_workbook_plus_20283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000238.lean\",\"089621b721679dc6dd1348f13b3ff86004beb83fdb466b78be2874ce7a452f41\",0,\"lean_workbook_plus_23532\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000239.lean\",\"6a1a2b571e488d7b7a00794e1722b2f9fcc69c47a58523be7084c300d5602628\",0,\"lean_workbook_plus_14018\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226266,
+      "path": "data/train/p36/oproofs-s00002-r00000236-n000004-0000-f2c6c44f11256796.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f2c6c44f112567964a19706e28c858c1ad90083548523320a46a51afa0ad5156"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000240-n000004.json b/manifests/batches/oproofs/s00002-r00000240-n000004.json
index 75a516af43169c5611dae667e10683030ea04ca2..f96d5940709497e2a086360ca821c95b9dcfc6ad 100644
--- a/manifests/batches/oproofs/s00002-r00000240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000240-n000004",
   "batch_fingerprint": "d1d408239049a814d2dab9012623f0e023147c10ca3d25acbd37fdbc9d450bf4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000240-n000004-0000-cb7ae73f8763ce92.parquet",
-      "sha256": "cb7ae73f8763ce9204776af197549aa4add190fe20b7af7c83cb0cc524fdc736",
-      "bytes": 93095,
-      "rows": 12,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000240-n000004-0000-759370fb576e1cd4.parquet",
-      "sha256": "759370fb576e1cd4d07b863f560417d685d1790b7b9faea35a10aea485916988",
-      "bytes": 35254,
-      "rows": 2,
-      "revision": "87d8967ead333198f467eb92b36ead5a759e9806"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000241.lean\",\"42808fe0872c459fc9943d74da638bf9de192bd49158894056fbe24d61fa6f0a\",0,\"lean_workbook_37566\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000242.lean\",\"08e07f2d7c6d82284c1cd21537ce4af038aa2e504d7b63b98da45465812c8f8b\",0,\"lean_workbook_plus_61555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000243.lean\",\"e77b7d110d8821919b67d8fb53cedc275b744584088ff925c12892271798cee0\",0,\"lean_workbook_plus_80041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93095,
+      "path": "data/train/p81/oproofs-s00002-r00000240-n000004-0000-cb7ae73f8763ce92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cb7ae73f8763ce9204776af197549aa4add190fe20b7af7c83cb0cc524fdc736"
+    },
+    {
+      "bytes": 35254,
+      "path": "data/internal_test/p81/oproofs-s00002-r00000240-n000004-0000-759370fb576e1cd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "759370fb576e1cd4d07b863f560417d685d1790b7b9faea35a10aea485916988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000244-n000004.json b/manifests/batches/oproofs/s00002-r00000244-n000004.json
index e9a8681baab9f4f352bd12579898a7739a3958c9..4e2640d27649c88d3e36dea1330ff32525e75552 100644
--- a/manifests/batches/oproofs/s00002-r00000244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000244-n000004",
   "batch_fingerprint": "8dc5eca689b357100b744e5b9f4a5a2441e0e8ec9baecda9a6b6f6567225de24",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000244-n000004-0000-017fd04e416ca085.parquet",
-      "sha256": "017fd04e416ca0851f43141ebd6b8e3822b3e4906afca63b0c3e811c93b6cb39",
-      "bytes": 125926,
-      "rows": 10,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000244-n000004-0000-544e889b3599b421.parquet",
-      "sha256": "544e889b3599b42138babcca18c7439d00dc5422db30319b2be3351e79189c66",
-      "bytes": 93826,
-      "rows": 4,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:245",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:246",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000245.lean\",\"3096302438b786e1fcb1b9bc5367e956bd5101d3db67d722551dd423a3c12707\",0,\"lean_workbook_21669\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000246.lean\",\"bb67b193cbd2332b9256701ad251a3cc3c04ab7df61ab2fecb0bb1b4faa0ca57\",0,\"lean_workbook_plus_30000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000247.lean\",\"76703f11aa73e0fce9436f90cb94ac695ed145dc0893f7d476c64c7118d50cf4\",0,\"lean_workbook_plus_40907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125926,
+      "path": "data/train/pa9/oproofs-s00002-r00000244-n000004-0000-017fd04e416ca085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "017fd04e416ca0851f43141ebd6b8e3822b3e4906afca63b0c3e811c93b6cb39"
+    },
+    {
+      "bytes": 93826,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00000244-n000004-0000-544e889b3599b421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "544e889b3599b42138babcca18c7439d00dc5422db30319b2be3351e79189c66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000248-n000004.json b/manifests/batches/oproofs/s00002-r00000248-n000004.json
index bb086ffb9f9e6eb33e5da90b5b4eaaccbd553b2f..26e54255a14ba6aeec24242b3e4ca200c58e7869 100644
--- a/manifests/batches/oproofs/s00002-r00000248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000248-n000004",
   "batch_fingerprint": "c031825dd314354b1df4c767234ae38783f4ce6e56bbab06c7a4eaa8e69a0c0e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000248-n000004-0000-8ddf9e754ffb758b.parquet",
-      "sha256": "8ddf9e754ffb758baa55d2fcee516355adba62c285b217fa0a286c940aa7a017",
-      "bytes": 349867,
-      "rows": 20,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000249.lean\",\"8ac8f49d36dc14b1fecf794a902aa4d7a6c581b7bbfbfdcba232495e9511d8a2\",0,\"lean_workbook_24973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000250.lean\",\"fc2d7b00caee62f07a0a18eaed7513adc0b1f528a93d0951cf85312010c61c53\",0,\"lean_workbook_plus_78443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000251.lean\",\"760832b665b2e00f7b8480d9fa58e146b84c2c0940f01c4e94a4b9f7667f19fa\",0,\"min_exponent_inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349867,
+      "path": "data/train/p22/oproofs-s00002-r00000248-n000004-0000-8ddf9e754ffb758b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8ddf9e754ffb758baa55d2fcee516355adba62c285b217fa0a286c940aa7a017"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000252-n000004.json b/manifests/batches/oproofs/s00002-r00000252-n000004.json
index c5751767e9bdac70136bbc2b32cfac681bea63b6..49ae8fbcaa660f116312ca4c137b90aaf9c07c3c 100644
--- a/manifests/batches/oproofs/s00002-r00000252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000252-n000004",
   "batch_fingerprint": "53bb2f461a4342e7791ec4a3c6f81d5a581a1749c50b2d499f422a7cc4edf17d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000252-n000004-0000-b2fe42017a64fefc.parquet",
-      "sha256": "b2fe42017a64fefce195dd8a80658ab8c83d8c4793fedf496031b97cd885e361",
-      "bytes": 307206,
-      "rows": 19,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000252-n000004-0000-b16e390511dc8be6.parquet",
-      "sha256": "b16e390511dc8be6b131fe853f4d74e0d6e97fc35260990ed03c3d340852acd4",
-      "bytes": 343964,
-      "rows": 8,
-      "revision": "1fafd3b5c8660fd0c0a2eeeae15afcd8a5101818"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000253.lean\",\"6f66331a775430df0e91ba102c9a2d2b1d608aa190e6491ab023d830dda439ff\",0,\"lean_workbook_plus_80203\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000254.lean\",\"8082bae47c91e03e7d29f4b6a24c732c9d23bd7a87cefe3af93fe76c4a9c755c\",0,\"lean_workbook_plus_45513\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000255.lean\",\"a056609f9096dcd2c0badf953ed9ab510035b0f698cb960637c77f4e90f041b1\",0,\"lean_workbook_31909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307206,
+      "path": "data/train/p70/oproofs-s00002-r00000252-n000004-0000-b2fe42017a64fefc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b2fe42017a64fefce195dd8a80658ab8c83d8c4793fedf496031b97cd885e361"
+    },
+    {
+      "bytes": 343964,
+      "path": "data/internal_test/p70/oproofs-s00002-r00000252-n000004-0000-b16e390511dc8be6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b16e390511dc8be6b131fe853f4d74e0d6e97fc35260990ed03c3d340852acd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000256-n000004.json b/manifests/batches/oproofs/s00002-r00000256-n000004.json
index 520b95bdd9fc5a5e69c16a960eb62fda891ffbd1..ec74e04fb53070dad2ac03dc7dd86264923e62de 100644
--- a/manifests/batches/oproofs/s00002-r00000256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000256-n000004",
   "batch_fingerprint": "87773e0bb7c3fab02cd025ab584667998aa5a81e90eb1c676d40eeea31efccd3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000256-n000004-0000-d20cee64445679e2.parquet",
-      "sha256": "d20cee64445679e250cfb0187b2d845784c24ca314e9d2f730536c631c9d8d6c",
-      "bytes": 136695,
-      "rows": 18,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000256-n000004-0000-906fce9024feb534.parquet",
-      "sha256": "906fce9024feb5340e800ffc5d763c52dae714aab2e0f945aea0f1929df07d78",
-      "bytes": 32800,
-      "rows": 3,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000257.lean\",\"796aae006836a7a0b27745869dfe95465ea3a894738d01f7984827b4b1ee984e\",0,\"lean_workbook_plus_35673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000258.lean\",\"61834a8e6246e0eb19e3e5ee808ca9b1586a9c1ded7adb147fe0fe0cd1bb6e6d\",0,\"power_in_360_calc\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000259.lean\",\"d80d09cc912b16e024dd89d5362a50a1217eb0ae489fdc08fca9d9fc7e51df8a\",0,\"lean_workbook_plus_60255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136695,
+      "path": "data/train/pe5/oproofs-s00002-r00000256-n000004-0000-d20cee64445679e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d20cee64445679e250cfb0187b2d845784c24ca314e9d2f730536c631c9d8d6c"
+    },
+    {
+      "bytes": 32800,
+      "path": "data/internal_test/pe5/oproofs-s00002-r00000256-n000004-0000-906fce9024feb534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "906fce9024feb5340e800ffc5d763c52dae714aab2e0f945aea0f1929df07d78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000260-n000004.json b/manifests/batches/oproofs/s00002-r00000260-n000004.json
index fc67c24098f0ad06421bd0069699f486514734a5..cfc4b2e07184a4c84e3c4caee7444deac68ab92c 100644
--- a/manifests/batches/oproofs/s00002-r00000260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000260-n000004",
   "batch_fingerprint": "87b0e9d18d4feecd66e31dbaa3534de30334adedcbdc045052d6990a9a7b065b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000260-n000004-0000-9a26afbe02cb45d8.parquet",
-      "sha256": "9a26afbe02cb45d8c520ecd087014d00a2c524b94f5cce719ce4a114858a37e6",
-      "bytes": 314344,
-      "rows": 18,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000260-n000004-0000-f21ef56e08201ed8.parquet",
-      "sha256": "f21ef56e08201ed8bc6777574b1fdf8260e2d8b2417b2168ab856eff2be5101b",
-      "bytes": 150163,
-      "rows": 3,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000261.lean\",\"9b7d8a6a8fbd190525ec8fb7c89c8a9742b4a380f6c67c5d034edac3f0354e72\",0,\"lean_workbook_41722\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000262.lean\",\"12ad5d95b907884a48393b147ce6ded71edd17e4ba24ac9f8a91f5471df99bc3\",0,\"lean_workbook_plus_60617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000263.lean\",\"163066afa59eebf14f7074003260f8044d7abce29b50fe2440ac4f9907e40526\",0,\"lean_workbook_plus_64314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314344,
+      "path": "data/train/p2f/oproofs-s00002-r00000260-n000004-0000-9a26afbe02cb45d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9a26afbe02cb45d8c520ecd087014d00a2c524b94f5cce719ce4a114858a37e6"
+    },
+    {
+      "bytes": 150163,
+      "path": "data/dev/p2f/oproofs-s00002-r00000260-n000004-0000-f21ef56e08201ed8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f21ef56e08201ed8bc6777574b1fdf8260e2d8b2417b2168ab856eff2be5101b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000264-n000004.json b/manifests/batches/oproofs/s00002-r00000264-n000004.json
index 9ae99226ec17298f6ebd5bf35482eabc02bbf4fb..00b8f5ca5e0ac1bdce2c3a24a38709cb21eb0af4 100644
--- a/manifests/batches/oproofs/s00002-r00000264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000264-n000004",
   "batch_fingerprint": "cbe7db8043c9211776c25745b6ec4215a2f0a2219991592c4b6bef3f334c671d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:264",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:265",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:266",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:267"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000264.lean\",\"81a9de462526b14088686b6cb3cbe595a935749f47b7ea8001724a15befa4c77\",0,\"lean_workbook_51066\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000265.lean\",\"99fcaf48abe4af8f77323329d2e30a9878bbe24e033b9588603e544fb92b6d1a\",0,\"lean_workbook_plus_57476\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000266.lean\",\"1585998d209da9a09470a1eb4db30d9c5f25184549349fcb4c9600c1fff26995\",0,\"lean_workbook_18420\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000267.lean\",\"021b6cb27ddc9f9ea987837d72eaa26764dfbc17be4b9ba1db7b6a01bbb1680d\",0,\"lean_workbook_plus_81804\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000264-n000004-0000-6223f0fcfbef3d59.parquet",
-      "sha256": "6223f0fcfbef3d59bb5264d62fd760c215ecc588807d189421520e33b5deb1e7",
       "bytes": 78742,
+      "path": "data/train/p6d/oproofs-s00002-r00000264-n000004-0000-6223f0fcfbef3d59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "6223f0fcfbef3d59bb5264d62fd760c215ecc588807d189421520e33b5deb1e7"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000264-n000004-0000-900c51d401eb74f1.parquet",
-      "sha256": "900c51d401eb74f1a53c87b8df788fae9eb4dec0347b65ce1316a271b6cd3b56",
       "bytes": 114620,
+      "path": "data/dev/p6d/oproofs-s00002-r00000264-n000004-0000-900c51d401eb74f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "900c51d401eb74f1a53c87b8df788fae9eb4dec0347b65ce1316a271b6cd3b56"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000264-n000004-0000-6318af60fa5143f2.parquet",
-      "sha256": "6318af60fa5143f2702a1910cf91aad9a940a190024b8230261495a9633999d5",
       "bytes": 50197,
+      "path": "data/internal_test/p6d/oproofs-s00002-r00000264-n000004-0000-6318af60fa5143f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "6318af60fa5143f2702a1910cf91aad9a940a190024b8230261495a9633999d5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:264",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:265",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:266",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:267"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000264.lean\",\"81a9de462526b14088686b6cb3cbe595a935749f47b7ea8001724a15befa4c77\",0,\"lean_workbook_51066\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000265.lean\",\"99fcaf48abe4af8f77323329d2e30a9878bbe24e033b9588603e544fb92b6d1a\",0,\"lean_workbook_plus_57476\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000266.lean\",\"1585998d209da9a09470a1eb4db30d9c5f25184549349fcb4c9600c1fff26995\",0,\"lean_workbook_18420\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000267.lean\",\"021b6cb27ddc9f9ea987837d72eaa26764dfbc17be4b9ba1db7b6a01bbb1680d\",0,\"lean_workbook_plus_81804\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000268-n000004.json b/manifests/batches/oproofs/s00002-r00000268-n000004.json
index 36a73da3c5b55d89d7feab60b3901cc1002bb1a8..dac320b6d7ed06603bd39623a4379a08dffa7b8b 100644
--- a/manifests/batches/oproofs/s00002-r00000268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000268-n000004",
   "batch_fingerprint": "c41ccc4a727fc45677d78db88f2b22cec54c819fa14b1aaaf5c71340996968a2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000268-n000004-0000-2a32ae16f2d6b8c0.parquet",
-      "sha256": "2a32ae16f2d6b8c006cc2083a1bb06291bc816afa37c8181410ef19a35d8bd0a",
-      "bytes": 215283,
-      "rows": 15,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000269.lean\",\"3c942fb909095b1bb4bc2ccc635b9fd7aecbcc32b8ec0ffc6d2762f0b636fc5d\",0,\"lean_workbook_plus_68917\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000270.lean\",\"37730382050dddea66b528af28ad0f2f67fef05ad428530baa9990f6379e1de6\",0,\"lean_workbook_plus_53959\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000271.lean\",\"22c1ed67eadf94ed920f3ac1d3f84f0b5325a55fcd2b0e99ba15f6be82dba84e\",0,\"lean_workbook_10942\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215283,
+      "path": "data/train/p5c/oproofs-s00002-r00000268-n000004-0000-2a32ae16f2d6b8c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2a32ae16f2d6b8c006cc2083a1bb06291bc816afa37c8181410ef19a35d8bd0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000272-n000004.json b/manifests/batches/oproofs/s00002-r00000272-n000004.json
index 869d8a35f9435210945bdd91e3ca8f44fb569147..3e275831567600b102a3440158db3ec36946c8a6 100644
--- a/manifests/batches/oproofs/s00002-r00000272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000272-n000004",
   "batch_fingerprint": "1cf34d9f955505095a8757ec2d09ff5b3ad72689fc6bb3ec559942d0cad9df07",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:272",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:273",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:274",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:275"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000272.lean\",\"e5f05a335bfe9b533d7fd0c7a27bd1d6956ae50a92d2d1f8ebdd393e5d8657ab\",0,\"lean_workbook_plus_25001\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000273.lean\",\"6e24b4cc9aa1e3ddb176fad351be4bbff6cd18468881bbe8b2ee8989497dab0a\",0,\"lean_workbook_plus_42709\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000274.lean\",\"8dd1eb3e6457c5479e3c3a46bd2c15c5f4d34c17c7eac2ab8da3a00d36e216c3\",0,\"lean_workbook_plus_39867\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000275.lean\",\"0321db1679e2e69d2eb180c140038b1e47d570404a0b02cb60d7cb1732fd768e\",0,\"lean_workbook_plus_21745\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000272-n000004-0000-8b5e77cd5be67a5b.parquet",
-      "sha256": "8b5e77cd5be67a5b27e23c24e3f9e7674396b7713ea44f806aa120e4082218ec",
       "bytes": 96680,
+      "path": "data/train/p0e/oproofs-s00002-r00000272-n000004-0000-8b5e77cd5be67a5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "8b5e77cd5be67a5b27e23c24e3f9e7674396b7713ea44f806aa120e4082218ec"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000272-n000004-0000-7b14f7413879af86.parquet",
-      "sha256": "7b14f7413879af86548a83b9f1ae756b09956e4bfd43520bfb8973a36d939f1e",
       "bytes": 529275,
+      "path": "data/dev/p0e/oproofs-s00002-r00000272-n000004-0000-7b14f7413879af86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "7b14f7413879af86548a83b9f1ae756b09956e4bfd43520bfb8973a36d939f1e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000272-n000004-0000-ac430ef3ff8e3dd4.parquet",
-      "sha256": "ac430ef3ff8e3dd4b6ca276eaca81e5a5ab5afe8ebcc5acabb53a8285fea0225",
       "bytes": 100495,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00000272-n000004-0000-ac430ef3ff8e3dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "ac430ef3ff8e3dd4b6ca276eaca81e5a5ab5afe8ebcc5acabb53a8285fea0225"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:272",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:273",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:274",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:275"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000272.lean\",\"e5f05a335bfe9b533d7fd0c7a27bd1d6956ae50a92d2d1f8ebdd393e5d8657ab\",0,\"lean_workbook_plus_25001\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000273.lean\",\"6e24b4cc9aa1e3ddb176fad351be4bbff6cd18468881bbe8b2ee8989497dab0a\",0,\"lean_workbook_plus_42709\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000274.lean\",\"8dd1eb3e6457c5479e3c3a46bd2c15c5f4d34c17c7eac2ab8da3a00d36e216c3\",0,\"lean_workbook_plus_39867\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000275.lean\",\"0321db1679e2e69d2eb180c140038b1e47d570404a0b02cb60d7cb1732fd768e\",0,\"lean_workbook_plus_21745\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000276-n000004.json b/manifests/batches/oproofs/s00002-r00000276-n000004.json
index 02088f632870ccccdea87391dfbda52e2efb33bd..56f8a3a3717410b94ae9d1841799e2102c5c3d60 100644
--- a/manifests/batches/oproofs/s00002-r00000276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000276-n000004",
   "batch_fingerprint": "07e41560e392f4e60c665938d2aeabad6b9341669ebf270819f2012fd37521de",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000276-n000004-0000-7995545ee3bbe0ec.parquet",
-      "sha256": "7995545ee3bbe0ec0392fa2690d835cbb279a8850991365729dd67753e874501",
-      "bytes": 163487,
-      "rows": 28,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000277.lean\",\"74b7813fe3c863644444df4aabed186a2739b31c348ffac2b6d8757c963bb996\",0,\"lean_workbook_plus_34376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000278.lean\",\"afec07cdaf42d868d3d88c1082b9ea73559556c51901bb46d50105b7259c307d\",0,\"lean_workbook_40221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000279.lean\",\"cf1510eb2307c583ad46b0c313cc948758f00056be1b78c90e70c49771efed07\",0,\"lean_workbook_plus_44269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163487,
+      "path": "data/train/p26/oproofs-s00002-r00000276-n000004-0000-7995545ee3bbe0ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "7995545ee3bbe0ec0392fa2690d835cbb279a8850991365729dd67753e874501"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000280-n000004.json b/manifests/batches/oproofs/s00002-r00000280-n000004.json
index c8e80069361223f53b341fd3321c0cec38858843..7f099250d1408ed9ead34f70a3fa44313f0d88c8 100644
--- a/manifests/batches/oproofs/s00002-r00000280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000280-n000004",
   "batch_fingerprint": "1d2caa49133c9ae6b2eb1b6293396ecfdf850681894ee84d7688e7d2595e82cf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000280-n000004-0000-812d4f607749e5dc.parquet",
-      "sha256": "812d4f607749e5dc52819764fd55213611af8d079f678f52e437a35c64e98134",
-      "bytes": 566216,
-      "rows": 19,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000281.lean\",\"e46232105c13f3c7e44a30d9ed7ce107f937603259ed58efcfc3a1d4639c7cc8\",0,\"lean_workbook_plus_17874\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000282.lean\",\"aa0be0ce78adb21a7dfc61093befb7d3c3c7458771ffa48315037596b94d7d0d\",0,\"lean_workbook_plus_56296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000283.lean\",\"3f744703ace79dcf0199162f63aaf093ccdcabfd8b295dfc9d572afeea6a7d82\",0,\"lean_workbook_plus_3040\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 566216,
+      "path": "data/train/pdb/oproofs-s00002-r00000280-n000004-0000-812d4f607749e5dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "812d4f607749e5dc52819764fd55213611af8d079f678f52e437a35c64e98134"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000284-n000004.json b/manifests/batches/oproofs/s00002-r00000284-n000004.json
index 9c73e52b98799fe2f39cef55e0870a38326815c0..224b1047c6942048631729ca6c2c5138dd70cec7 100644
--- a/manifests/batches/oproofs/s00002-r00000284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000284-n000004",
   "batch_fingerprint": "7c2af1943cbb05ea45906765a46c801ae9685af891c21f9369cbec8563f83035",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000284-n000004-0000-0fd5203676431e4f.parquet",
-      "sha256": "0fd5203676431e4fd28d45210bb6c93cb423aa3d602fc27ca28ff646b83c1668",
-      "bytes": 221434,
-      "rows": 16,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000285.lean\",\"468d20e7b7723a64dcaec5581ae65802bbe1f7335cef6b5802f004d80b6eaad3\",0,\"lean_workbook_46085\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000286.lean\",\"9cce26c59ddd1c91c0322e403e67e6ae212f19ac041e81a8091b971660430bb8\",0,\"lean_workbook_plus_35597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000287.lean\",\"0c95ba9b1ad7d8ec768e75f57d1d17f127a38ed2b5375cb6fd22729563acba3f\",0,\"lean_workbook_plus_26642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221434,
+      "path": "data/train/pfb/oproofs-s00002-r00000284-n000004-0000-0fd5203676431e4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0fd5203676431e4fd28d45210bb6c93cb423aa3d602fc27ca28ff646b83c1668"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000288-n000004.json b/manifests/batches/oproofs/s00002-r00000288-n000004.json
index 77ec40ef162647fff56485e7afd017408ea76c6e..46715267e66f7a57a78f1b99dfbd5cea2819e7f3 100644
--- a/manifests/batches/oproofs/s00002-r00000288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000288-n000004",
   "batch_fingerprint": "5f83018264994457eb25249a74e67fda25a4f79ccdc74d4dfd0c9f6ba9ce78d2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000288-n000004-0000-f314166011ef1538.parquet",
-      "sha256": "f314166011ef1538eb1a142208f9c91dfc9ff337c05a388a09b2d1e7a2f3ae3d",
-      "bytes": 313160,
-      "rows": 17,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000289.lean\",\"26f975fbdb0bba243ef8776d9c7e747b6d7dd53134da378f731f252924da4b90\",0,\"lean_workbook_plus_43309\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000290.lean\",\"2bafb921d16130fec53730b6dc97d7b58bb2ea933acd51430cc9d9f8083f48cd\",0,\"lean_workbook_plus_29396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000291.lean\",\"dca8135f8db23e66f047cc6c5b36b14b8a34c702fe0139e65290f217c3ea9825\",0,\"lean_workbook_plus_80517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313160,
+      "path": "data/train/pa0/oproofs-s00002-r00000288-n000004-0000-f314166011ef1538.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f314166011ef1538eb1a142208f9c91dfc9ff337c05a388a09b2d1e7a2f3ae3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000292-n000004.json b/manifests/batches/oproofs/s00002-r00000292-n000004.json
index 9b830e718453e7ef5c84d7bde5993f1c272bd10a..df7a3511e20756495729af1c0a4aa5d0ca6c871a 100644
--- a/manifests/batches/oproofs/s00002-r00000292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000292-n000004",
   "batch_fingerprint": "072a9e4a56fd8dd6692c89cd9ceeaf90df323032e07d60d7e5ca40643ce8b38e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000292-n000004-0000-9143e15d6353d7d5.parquet",
-      "sha256": "9143e15d6353d7d5eb790b6bff52e8b4f8981caec67337d56562933e459c296c",
-      "bytes": 143587,
-      "rows": 13,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000293.lean\",\"e8d33fd211f5a5c23b64551cd5ae50d8a8eb28f40e2c89a0ad082889b2e08d40\",0,\"lean_workbook_plus_19928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000294.lean\",\"c36e68c14ead0f020350bbcf1fe8d62198d72cffee572a2c99e51c80dfddf47a\",0,\"lean_workbook_plus_14213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000295.lean\",\"be992f1529b3e9688f29c10ec78d6bde4af94db5fa902b9822138ce4ab4dd2eb\",0,\"lean_workbook_plus_50535\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143587,
+      "path": "data/train/pef/oproofs-s00002-r00000292-n000004-0000-9143e15d6353d7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9143e15d6353d7d5eb790b6bff52e8b4f8981caec67337d56562933e459c296c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000296-n000004.json b/manifests/batches/oproofs/s00002-r00000296-n000004.json
index edc69fc736b4613d6e8a2b5cbfefbb1151dde110..3aedf913e428560e881199b44a11fee7eadead22 100644
--- a/manifests/batches/oproofs/s00002-r00000296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000296-n000004",
   "batch_fingerprint": "0d43159febf75cde8e7e649f788c1a67b8aee7a67275e875f67a21cc9661bdf3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000296-n000004-0000-6c9a567380a1e780.parquet",
-      "sha256": "6c9a567380a1e7808fc006f04132a6e905175be1070d6a10d3eb724b6f292bfd",
-      "bytes": 132443,
-      "rows": 17,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000297.lean\",\"76061c3fafd4bbb9f5b06ad77c5913bb8c692d65059aa391470a744a90a0f6c6\",0,\"lean_workbook_plus_61374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000298.lean\",\"583db0172ad85a93a97cb1aa2a7289898a8cf2f2a5bb23100896a89f0e260270\",0,\"lean_workbook_plus_65899\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000299.lean\",\"83410b7d79b73bcdc930114c24272d1efc8326473868e8c086b20dfb9fcdb169\",0,\"lean_workbook_plus_47405\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132443,
+      "path": "data/train/pfc/oproofs-s00002-r00000296-n000004-0000-6c9a567380a1e780.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6c9a567380a1e7808fc006f04132a6e905175be1070d6a10d3eb724b6f292bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000300-n000004.json b/manifests/batches/oproofs/s00002-r00000300-n000004.json
index 2ef21ca8002a6673396a54d9687506f50aaff79f..e63f9d46f567ec3ffabde4ffd3713b6b889d09a0 100644
--- a/manifests/batches/oproofs/s00002-r00000300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000300-n000004",
   "batch_fingerprint": "059ca7a8ea3ba05130857317395d9d575fd4747af0d39546581c75fe5bc5a3d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000300-n000004-0000-8344880faa597d54.parquet",
-      "sha256": "8344880faa597d54873b73956cdf6f5e16f412a368fe2ccf5e52681955319164",
-      "bytes": 237857,
-      "rows": 18,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000301.lean\",\"4235a76c6a0990c222e3735e71d2062f4599821e3783605568d47a1b84b6b057\",0,\"lean_workbook_plus_14018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000302.lean\",\"163a4fb104b226df0d15274c3c4524bd051714f344f15b2474608cc04de9a546\",0,\"lean_workbook_plus_20283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000303.lean\",\"9b655b227ed866884e1762f5e9f459d4c8fe7812118179a4642351b0fb5630fc\",0,\"lean_workbook_plus_29055\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237857,
+      "path": "data/train/p8d/oproofs-s00002-r00000300-n000004-0000-8344880faa597d54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8344880faa597d54873b73956cdf6f5e16f412a368fe2ccf5e52681955319164"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000304-n000004.json b/manifests/batches/oproofs/s00002-r00000304-n000004.json
index 29d23b4d35953d9ff1a37ee7157b2cecee6f18f4..8dbc237d44480f8192361cbff8d4fdb8fc444c22 100644
--- a/manifests/batches/oproofs/s00002-r00000304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000304-n000004",
   "batch_fingerprint": "5fa3c4ea734acce3f3f495ea6df20efbea7180882080ab3d8dba585fe2a50c20",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000304-n000004-0000-03ec4867f82e5e70.parquet",
-      "sha256": "03ec4867f82e5e707ba4fc978c3b6da0d434c0707f7e277fc15ff70801d73116",
-      "bytes": 240797,
-      "rows": 21,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000305.lean\",\"8398300c541efb458b0de22d041f5851477efbf0a3ae11be57323b255131f2a4\",0,\"lean_workbook_plus_39969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000306.lean\",\"4d3741aa29e9ca153f721159f89b24d012ef0c59f6e00e78b570ad291c71d9b2\",0,\"lean_workbook_plus_61555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000307.lean\",\"35442ae786ae4ad048a4732009919da9604d74529baf362cc91b7ecf05808eab\",0,\"lean_workbook_plus_80041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240797,
+      "path": "data/train/pba/oproofs-s00002-r00000304-n000004-0000-03ec4867f82e5e70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "03ec4867f82e5e707ba4fc978c3b6da0d434c0707f7e277fc15ff70801d73116"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000308-n000004.json b/manifests/batches/oproofs/s00002-r00000308-n000004.json
index f7d9375317c83439c1e6be62985176d9fd77f543..54ba50af1f96e368d48b1de0a853f715e7056118 100644
--- a/manifests/batches/oproofs/s00002-r00000308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000308-n000004",
   "batch_fingerprint": "6824833d1d9f51c388f2ae14447e6f0748e217f1ecc3624cde57f45feb704c05",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000308-n000004-0000-d91c92351afe37d0.parquet",
-      "sha256": "d91c92351afe37d01687749e463b93519b57901bfe34b43c59ac5f4d86f8e8f0",
-      "bytes": 84269,
-      "rows": 7,
-      "revision": "128aadf8bf0e654bebee5a1dbfdd452771acafbe"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000308-n000004-0000-0806f6fdffe6d536.parquet",
-      "sha256": "0806f6fdffe6d53679d8252fb70116855f150650d3bac9a6335eef7cac29aad3",
-      "bytes": 155371,
-      "rows": 2,
-      "revision": "128aadf8bf0e654bebee5a1dbfdd452771acafbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:310",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000308.lean\",\"a9be1420bf270b8b59a967468c2a9a079ec30898aeaa5248fa9ed4ff210dc968\",0,\"lean_workbook_21669\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000310.lean\",\"d5a46d9d34bbad99b53088a7e8a4401722e99276af4cf5f429ebe34d604a5387\",0,\"lean_workbook_plus_64855\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000311.lean\",\"97f2254cc096a7f818c3c6c2ad72a410bf4d06ab708a62ea8660ac1085aedb5b\",0,\"lean_workbook_24973\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84269,
+      "path": "data/train/pc6/oproofs-s00002-r00000308-n000004-0000-d91c92351afe37d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d91c92351afe37d01687749e463b93519b57901bfe34b43c59ac5f4d86f8e8f0"
+    },
+    {
+      "bytes": 155371,
+      "path": "data/dev/pc6/oproofs-s00002-r00000308-n000004-0000-0806f6fdffe6d536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0806f6fdffe6d53679d8252fb70116855f150650d3bac9a6335eef7cac29aad3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000312-n000004.json b/manifests/batches/oproofs/s00002-r00000312-n000004.json
index fcc93a988da30d305f4fa63a7d8d91fc21a6cff3..acff0e5182f53e0d14741252cd6a245e4d0a9f8e 100644
--- a/manifests/batches/oproofs/s00002-r00000312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000312-n000004",
   "batch_fingerprint": "38432b5d8400246a04cf84d3f7b90fdefc32600ef377b73f9b157126f1615cf7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000312-n000004-0000-248b03bd605de2ff.parquet",
-      "sha256": "248b03bd605de2ffb21c9cab093da48ad420c4929d8d581ca03c9ed2819d9ab4",
-      "bytes": 359926,
-      "rows": 11,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000313.lean\",\"a13b0e09b8891750db575d123b061d69b9e2af1526ba5c28d4ffeafbe6d02053\",0,\"lean_workbook_14920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000314.lean\",\"a4d1d75b917a153ab06bbe73ff9569acf04c0bc3c96fd06ccd8e173beb8b6f02\",0,\"lean_workbook_plus_76596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000315.lean\",\"737136b2d904e82d2651f7b30cc8575fd9f070a282628640c1d0591117d2211f\",0,\"lean_workbook_plus_45513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359926,
+      "path": "data/train/p50/oproofs-s00002-r00000312-n000004-0000-248b03bd605de2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "248b03bd605de2ffb21c9cab093da48ad420c4929d8d581ca03c9ed2819d9ab4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000316-n000004.json b/manifests/batches/oproofs/s00002-r00000316-n000004.json
index fe2d3cc791341c21323559bf700d0d3a6dade126..ad293f4bffe5b4f109b1f32787ab117c6055db74 100644
--- a/manifests/batches/oproofs/s00002-r00000316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000316-n000004",
   "batch_fingerprint": "247aada2da74afdbaeb7125b9ef5aa003a6b37150be9aae8df90602cfa5dc730",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000316-n000004-0000-3c57d26442bcc4ad.parquet",
-      "sha256": "3c57d26442bcc4ad72e2a1fbbccba7e499663f1271f17492b738d5bf0c41bf1b",
-      "bytes": 239469,
-      "rows": 22,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000317.lean\",\"731234a04d4f68c9a355647d2153811cd720254be4a7e84596bc1781b23186f0\",0,\"lean_workbook_plus_35673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000318.lean\",\"390251876a56377fb39386b09ca95fc8f7fb75be83e6fa8dfcc5a61cbf109b9a\",0,\"power_in_360_calc\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000319.lean\",\"18dd35dc0f2810a512f56c492fe7ca936abebd538c3702a6650d4a057a164d66\",0,\"lean_workbook_36396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239469,
+      "path": "data/train/pc2/oproofs-s00002-r00000316-n000004-0000-3c57d26442bcc4ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3c57d26442bcc4ad72e2a1fbbccba7e499663f1271f17492b738d5bf0c41bf1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000320-n000004.json b/manifests/batches/oproofs/s00002-r00000320-n000004.json
index 440d81aeb58f4398ad4a768ac8b85d7b82a37525..6402f9c7e07dc578a8a99c1898e9f8ecabb91f8d 100644
--- a/manifests/batches/oproofs/s00002-r00000320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000320-n000004",
   "batch_fingerprint": "79d209bb7c52116e777eafd2fe86140ca703af8ee3e1e43817d9d439ef1fc220",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000320-n000004-0000-76f68ddfe45cbff1.parquet",
-      "sha256": "76f68ddfe45cbff1bb905759de6dff90fc82bd90c45734eac3be85d60b3dfada",
-      "bytes": 565521,
-      "rows": 16,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000321.lean\",\"6d0321b924ae1580590cb51ee831f4a2b61b398956e9ae2987c280ac003d30a2\",0,\"lean_workbook_plus_60255\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000322.lean\",\"7c7700b4b7d891fae3855310ac984cbb87ec8afc59e42dd792729d877ae4edef\",0,\"lean_workbook_plus_20833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000323.lean\",\"557f04bb16f69394e42bff7722a059e3bdcb146c5f317b62470a79e1ed8b8ee8\",0,\"lean_workbook_41722\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565521,
+      "path": "data/train/pcf/oproofs-s00002-r00000320-n000004-0000-76f68ddfe45cbff1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "76f68ddfe45cbff1bb905759de6dff90fc82bd90c45734eac3be85d60b3dfada"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000324-n000004.json b/manifests/batches/oproofs/s00002-r00000324-n000004.json
index 2e81cc2a69fe8775970469ad82ee06ee80b7048e..80b0a175997baf90c6390d62b0b2e74ed1b0dec2 100644
--- a/manifests/batches/oproofs/s00002-r00000324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000324-n000004",
   "batch_fingerprint": "54fef4190d65b4af900086aa4c32f51d0f66a1f160e8fa13023f25e7ad54cf09",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:324",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:325",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:326",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:327"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000324.lean\",\"0291164dbb27adb99ab8de85256a64203c591669ccdd23a97fb86d682350725f\",0,\"cooking_time_calculation\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000325.lean\",\"0e0ea5df4a104f32a6c39eaab454b038380bed65179654c363166b4c1428c93b\",0,\"lean_workbook_51066\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000326.lean\",\"ac294ebd528a6aa7cc40c107141e31b131042a415a3516a275a2a7f339ec0788\",0,\"lean_workbook_plus_57476\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000327.lean\",\"196c22e1a18f66fdc11c8652e00176ee8f44ef0dd455e5007a91f0de7d7236bc\",0,\"lean_workbook_18420\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000324-n000004-0000-8c7fb6056a788e3b.parquet",
-      "sha256": "8c7fb6056a788e3b655a12285b74d3120e40c664eff287331fc512365145edf0",
       "bytes": 82474,
+      "path": "data/train/p83/oproofs-s00002-r00000324-n000004-0000-8c7fb6056a788e3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "8c7fb6056a788e3b655a12285b74d3120e40c664eff287331fc512365145edf0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000324-n000004-0000-2cac9cd41877e74c.parquet",
-      "sha256": "2cac9cd41877e74ce0385c6a2ac42183d6711a4145d67f4d3b0b280b19aa81a9",
       "bytes": 108446,
+      "path": "data/dev/p83/oproofs-s00002-r00000324-n000004-0000-2cac9cd41877e74c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "2cac9cd41877e74ce0385c6a2ac42183d6711a4145d67f4d3b0b280b19aa81a9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000324-n000004-0000-d5b6091342438740.parquet",
-      "sha256": "d5b60913424387405cd6b91d3fb34bfdc84e3759a218e432e59783e624adfff9",
       "bytes": 82983,
+      "path": "data/internal_test/p83/oproofs-s00002-r00000324-n000004-0000-d5b6091342438740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "d5b60913424387405cd6b91d3fb34bfdc84e3759a218e432e59783e624adfff9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:324",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:325",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:326",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:327"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000324.lean\",\"0291164dbb27adb99ab8de85256a64203c591669ccdd23a97fb86d682350725f\",0,\"cooking_time_calculation\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000325.lean\",\"0e0ea5df4a104f32a6c39eaab454b038380bed65179654c363166b4c1428c93b\",0,\"lean_workbook_51066\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000326.lean\",\"ac294ebd528a6aa7cc40c107141e31b131042a415a3516a275a2a7f339ec0788\",0,\"lean_workbook_plus_57476\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000327.lean\",\"196c22e1a18f66fdc11c8652e00176ee8f44ef0dd455e5007a91f0de7d7236bc\",0,\"lean_workbook_18420\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000328-n000004.json b/manifests/batches/oproofs/s00002-r00000328-n000004.json
index bca4b5477b95d18da8f1731ecd573f6ebb2fc203..762bd8cfc441da01ef3bbd2375f1d5eb15c6e43c 100644
--- a/manifests/batches/oproofs/s00002-r00000328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000328-n000004",
   "batch_fingerprint": "212c8f7a15c44769ab42c8275deff28f56e2460a81ffe25580b1354c6fd974a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000328-n000004-0000-0550e85e8f8a0330.parquet",
-      "sha256": "0550e85e8f8a0330da01c4d89328323edccd744f46cea326ec3d8e285908dfea",
-      "bytes": 100862,
-      "rows": 16,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000328-n000004-0000-69a6e1f1888f13fb.parquet",
-      "sha256": "69a6e1f1888f13fb2f1fecfaa9064dbdfb931ee629b83f6df1c6aa988343503c",
-      "bytes": 48193,
-      "rows": 3,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000329.lean\",\"f4f7f76a716585022d36007bd701d71b405a1ba031cfac2beccc3498232d839e\",0,\"complex_number_properties\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000330.lean\",\"10f15b25b6c134ae1f7f39fc2ab570d606962b3782196f3d767c1c8f33f69617\",0,\"lean_workbook_plus_81804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000331.lean\",\"68c4ca3b6c8c5adfa3fbd27267ceef1633bb54459aa2ff2d565f553e6a551aa2\",0,\"lean_workbook_plus_23523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100862,
+      "path": "data/train/pd8/oproofs-s00002-r00000328-n000004-0000-0550e85e8f8a0330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0550e85e8f8a0330da01c4d89328323edccd744f46cea326ec3d8e285908dfea"
+    },
+    {
+      "bytes": 48193,
+      "path": "data/internal_test/pd8/oproofs-s00002-r00000328-n000004-0000-69a6e1f1888f13fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "69a6e1f1888f13fb2f1fecfaa9064dbdfb931ee629b83f6df1c6aa988343503c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000332-n000004.json b/manifests/batches/oproofs/s00002-r00000332-n000004.json
index 24cc474dfc57619e52349c75e086f87606e27418..cf17049cc163a6cb781136340305b6f4c00d500a 100644
--- a/manifests/batches/oproofs/s00002-r00000332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000332-n000004",
   "batch_fingerprint": "2a8eebf7f725b936cc99cd7ab37e557ff4361da28c895ef72eee17af03cfef72",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000332-n000004-0000-c65845a9e2961346.parquet",
-      "sha256": "c65845a9e2961346b1818c00973567105f960fc9b2e0b8aeab416a7e36857f16",
-      "bytes": 145137,
-      "rows": 18,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000332-n000004-0000-dc6c07e1dd489ff3.parquet",
-      "sha256": "dc6c07e1dd489ff3bbeabe351ab06fdabb737828c76ea4c2bf92dfd9fcfad028",
-      "bytes": 51937,
-      "rows": 2,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000333.lean\",\"22cbf97dd5376b59954a8484e538e12f6e2320d5f1039d9ee66cd6c8d7d6befc\",0,\"sets_union_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000334.lean\",\"cee0f8bf8b8979353b0691884c3c39ea4837d4a58f5325754d69a8dbca4f2265\",0,\"lean_workbook_10942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000335.lean\",\"035015379d40b4343919aa0e92de023253daca8a68aef1e0b8f3a434faf2dfd7\",0,\"lean_workbook_plus_25001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145137,
+      "path": "data/train/p9e/oproofs-s00002-r00000332-n000004-0000-c65845a9e2961346.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c65845a9e2961346b1818c00973567105f960fc9b2e0b8aeab416a7e36857f16"
+    },
+    {
+      "bytes": 51937,
+      "path": "data/dev/p9e/oproofs-s00002-r00000332-n000004-0000-dc6c07e1dd489ff3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc6c07e1dd489ff3bbeabe351ab06fdabb737828c76ea4c2bf92dfd9fcfad028"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000336-n000004.json b/manifests/batches/oproofs/s00002-r00000336-n000004.json
index 3069d3baada902bd4a8dd8defe8737c06d076c4b..28ab2ae757485787d7d2ab055d63fd441b1b9aac 100644
--- a/manifests/batches/oproofs/s00002-r00000336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000336-n000004",
   "batch_fingerprint": "fc5c72972c56c88951a434e970304f44aa3812cdf8413cff0dddc0c51ac4fa4e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:336",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:337",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:338",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:339"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000336.lean\",\"a01f7e3dc1b93a3c691aab0b6b582302a68ed20d14a50fa2131a056562281590\",0,\"lean_workbook_plus_53959\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000337.lean\",\"a65c675b9af66816c44be4defc29411ac826028ae5e19e8d7f656c980b0e8f4d\",0,\"lean_workbook_plus_42709\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000338.lean\",\"bb48e5fcaf39d9a7c2597a66de8f205e250bd1df888e165d50459068daaa21ff\",0,\"lean_workbook_plus_39867\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000339.lean\",\"8a66d636c70ca2a1c21cdada2aaea86e51b8775d6995410d4f7968fbad667b11\",0,\"lean_workbook_plus_21745\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000336-n000004-0000-86b12251e7aff9de.parquet",
-      "sha256": "86b12251e7aff9deed8064db4597955f3e784fd8e24a33bc82f29e008e13975f",
       "bytes": 246887,
+      "path": "data/train/pa7/oproofs-s00002-r00000336-n000004-0000-86b12251e7aff9de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "86b12251e7aff9deed8064db4597955f3e784fd8e24a33bc82f29e008e13975f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000336-n000004-0000-b1fa0daeb42b9ad5.parquet",
-      "sha256": "b1fa0daeb42b9ad5c1cdb4a00163a63deccd9ba6606b619045394853ec42c2bb",
       "bytes": 138744,
+      "path": "data/dev/pa7/oproofs-s00002-r00000336-n000004-0000-b1fa0daeb42b9ad5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "b1fa0daeb42b9ad5c1cdb4a00163a63deccd9ba6606b619045394853ec42c2bb"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000336-n000004-0000-2d6931dd64ef669c.parquet",
-      "sha256": "2d6931dd64ef669c8890873e9193a21c03affe11919944c94fdae6af8d80ee68",
       "bytes": 109955,
+      "path": "data/internal_test/pa7/oproofs-s00002-r00000336-n000004-0000-2d6931dd64ef669c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
+      "sha256": "2d6931dd64ef669c8890873e9193a21c03affe11919944c94fdae6af8d80ee68"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:336",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:337",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:338",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:339"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000336.lean\",\"a01f7e3dc1b93a3c691aab0b6b582302a68ed20d14a50fa2131a056562281590\",0,\"lean_workbook_plus_53959\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000337.lean\",\"a65c675b9af66816c44be4defc29411ac826028ae5e19e8d7f656c980b0e8f4d\",0,\"lean_workbook_plus_42709\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000338.lean\",\"bb48e5fcaf39d9a7c2597a66de8f205e250bd1df888e165d50459068daaa21ff\",0,\"lean_workbook_plus_39867\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000339.lean\",\"8a66d636c70ca2a1c21cdada2aaea86e51b8775d6995410d4f7968fbad667b11\",0,\"lean_workbook_plus_21745\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000340-n000004.json b/manifests/batches/oproofs/s00002-r00000340-n000004.json
index 9184224264af7f1f433e7570425ada6b0e9337d8..71bc8574f3f735a7ae4851a1607c5e178fc6fd77 100644
--- a/manifests/batches/oproofs/s00002-r00000340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000340-n000004",
   "batch_fingerprint": "35973f03dd8b0c05a859c036cf521f9c82602730284bf98c64775b337f41115e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000340-n000004-0000-03da656d0e7bd6ce.parquet",
-      "sha256": "03da656d0e7bd6ce7d0137068c766b5ace2043773a484238f31bae22c952cef7",
-      "bytes": 200337,
-      "rows": 12,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000340-n000004-0000-d6cd200f8bb8d3c4.parquet",
-      "sha256": "d6cd200f8bb8d3c4e263307529075aa58add79980ecb417f4539c7abb8d07132",
-      "bytes": 192994,
-      "rows": 9,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000341.lean\",\"0754f8f1897afe9e29b55f5bd2da50cece8892fcaa23c39cfefd92ffca4415e3\",0,\"lean_workbook_plus_26986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000342.lean\",\"fe8d93b2f0964a736f14b343de792c190a731a5614024d25da95018d44376225\",0,\"lean_workbook_plus_71132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000343.lean\",\"34692bccfc6e801d7a1dcc865c1ff45e40db38baf00c75e0882bd82f332e2a71\",0,\"lean_workbook_41587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200337,
+      "path": "data/train/pa5/oproofs-s00002-r00000340-n000004-0000-03da656d0e7bd6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "03da656d0e7bd6ce7d0137068c766b5ace2043773a484238f31bae22c952cef7"
+    },
+    {
+      "bytes": 192994,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00000340-n000004-0000-d6cd200f8bb8d3c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d6cd200f8bb8d3c4e263307529075aa58add79980ecb417f4539c7abb8d07132"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000344-n000004.json b/manifests/batches/oproofs/s00002-r00000344-n000004.json
index abb10acaa6f2993777addd9baa3fb9006b956f0c..7d7bba20de74e80ba5747418ded5e3245d2d32a8 100644
--- a/manifests/batches/oproofs/s00002-r00000344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000344-n000004",
   "batch_fingerprint": "90300096963ec8f479c995046063c7d147036768bf78803ea104bab32e1afdc3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000344-n000004-0000-9e637d041e794abf.parquet",
-      "sha256": "9e637d041e794abfb244c9110964b09441bb771b2fe9e6803abf2402af767007",
-      "bytes": 167688,
-      "rows": 25,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000345.lean\",\"9f9f6f3dee5921670e93117374af30251234ef00c33e18e2d9c0c8c420a55968\",0,\"lean_workbook_plus_58720\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000346.lean\",\"e37288161da1a49365257d8148a59384516c456921e7a503c9c7078506da6b3e\",0,\"lean_workbook_40221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000347.lean\",\"e4932c1d1737796574ac163770ffb7c3d0137f623b87b339e75e40fbe1ba7f4c\",0,\"lean_workbook_plus_60687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167688,
+      "path": "data/train/pa5/oproofs-s00002-r00000344-n000004-0000-9e637d041e794abf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9e637d041e794abfb244c9110964b09441bb771b2fe9e6803abf2402af767007"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000348-n000004.json b/manifests/batches/oproofs/s00002-r00000348-n000004.json
index 296b20d6ef8d36457f3834bcb78f8383ffefc074..589a86d873839c4787581969644dd64ecdffa2b3 100644
--- a/manifests/batches/oproofs/s00002-r00000348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000348-n000004",
   "batch_fingerprint": "66edb10ec210863c26f2280a38bb0c37484d1b863f3a5e9f156540439c327200",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000348-n000004-0000-2a3d11089d98ab68.parquet",
-      "sha256": "2a3d11089d98ab686f4ae44f3afba8d632310411bc08afa81f96f18f77786e4f",
-      "bytes": 291934,
-      "rows": 15,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000349.lean\",\"1afc8d8462d690fde494887c283d0f4c6a1fc46372a7374ba3a8c4144451c8f5\",0,\"lean_workbook_plus_73280\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000350.lean\",\"20f9ffb9a83ddd0b7a89be2869207b616abf6130cfeda6969e0a411447a7c07b\",0,\"lean_workbook_plus_35597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000351.lean\",\"98b75181906f5aba2922eaef8cefa6de5aa686cd44ee024f0f6884e85556161e\",0,\"lean_workbook_33276\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291934,
+      "path": "data/train/pf2/oproofs-s00002-r00000348-n000004-0000-2a3d11089d98ab68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2a3d11089d98ab686f4ae44f3afba8d632310411bc08afa81f96f18f77786e4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000352-n000004.json b/manifests/batches/oproofs/s00002-r00000352-n000004.json
index 81dcffb8481c8d447192342a67474120b6f08fb3..5049f80fa5fec54992e976aef8f430e8e80fde04 100644
--- a/manifests/batches/oproofs/s00002-r00000352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000352-n000004",
   "batch_fingerprint": "b154d4f2d9be9ac6132dc4dfa4405c39b01660724804ec4230f6e593936ecb30",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000352-n000004-0000-311e6b0b89e1e6cd.parquet",
-      "sha256": "311e6b0b89e1e6cd7721df5241596d71a0693ebfd89145a3e2519fb5b61f6c02",
-      "bytes": 164506,
-      "rows": 14,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000353.lean\",\"bf2021ae44b06212013fc0d6dc393af01e634ef3eca1a464f4505ae72a01ed10\",0,\"lean_workbook_plus_26642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000354.lean\",\"62f38e4d721432e84391c9b770c5546e9decc16f97fae54b69ee54ef7cea085d\",0,\"lean_workbook_plus_43309\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000355.lean\",\"b72d58bd8b189cc7872b6415fdc3ddec537019c59dae62bfebe209035e95c32d\",0,\"lean_workbook_plus_29396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164506,
+      "path": "data/train/p08/oproofs-s00002-r00000352-n000004-0000-311e6b0b89e1e6cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "311e6b0b89e1e6cd7721df5241596d71a0693ebfd89145a3e2519fb5b61f6c02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000356-n000004.json b/manifests/batches/oproofs/s00002-r00000356-n000004.json
index a3b322f4f8ebcbe0781b00cdc604071d64cd19a1..440746720a21237d1fa7f6879a2440cc0fc23c83 100644
--- a/manifests/batches/oproofs/s00002-r00000356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000356-n000004",
   "batch_fingerprint": "822004657381eb579ea028c1ab51b3c95a0328d115cb0a95fb12e0ed2398a32e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000356-n000004-0000-7176a040b06efc3d.parquet",
-      "sha256": "7176a040b06efc3dbc9f43db6b2ea14b7b476074ae75d6be96cb3f91766453bf",
-      "bytes": 182513,
-      "rows": 20,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000357.lean\",\"3bcfc328f0f9a263c209c7acf3b55b0c5e33f9524a36b799c8c995bc20f9780c\",0,\"lean_workbook_plus_19928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000358.lean\",\"95a023149579b6514ca14944dc16967cecb5a37e666207b93d249b73c907f8be\",0,\"lean_workbook_plus_50535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000359.lean\",\"660a23b4adae8ca6ff929cf137eeca6b791dc3fa4d7ac7bc5fb7ce90c9197632\",0,\"lean_workbook_4003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182513,
+      "path": "data/train/pc0/oproofs-s00002-r00000356-n000004-0000-7176a040b06efc3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7176a040b06efc3dbc9f43db6b2ea14b7b476074ae75d6be96cb3f91766453bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000360-n000004.json b/manifests/batches/oproofs/s00002-r00000360-n000004.json
index f807f5586f3909516b8edc9a5f33c09908e6c72b..d2d4c38a2fcc9ac7dd88d313a8068027eec1dc4c 100644
--- a/manifests/batches/oproofs/s00002-r00000360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000360-n000004",
   "batch_fingerprint": "c352e6bbd278fa4da4436ac224cca9a8cf39a190cf1322f10c94e3d578427c8b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000360-n000004-0000-73f14903633bb06f.parquet",
-      "sha256": "73f14903633bb06f38d4802f2e55926ab3feee2dc0b6792ad719979f58058fac",
-      "bytes": 153716,
-      "rows": 15,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000361.lean\",\"0a383e9c6d9472bb08b6f0f681266025bc5228b3ed692eda8f806caaea8eae15\",0,\"lean_workbook_plus_61374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000362.lean\",\"79779735484cbc0ca37b0f0d4eb4b6650682b9ca803abf7d7a401ef7fe8eb8af\",0,\"lean_workbook_plus_47405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000363.lean\",\"47d42d5a85ec848f9ef1273ca737f978f35fb5ccdc23fe572ba9030bcf1f4285\",0,\"lean_workbook_plus_76483\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153716,
+      "path": "data/train/p97/oproofs-s00002-r00000360-n000004-0000-73f14903633bb06f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "73f14903633bb06f38d4802f2e55926ab3feee2dc0b6792ad719979f58058fac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000364-n000004.json b/manifests/batches/oproofs/s00002-r00000364-n000004.json
index 78b6147d0ff481aee55b967f888fa9d1b1d8a41a..0d103625df3b0cfec6c798a90203d915d27287d4 100644
--- a/manifests/batches/oproofs/s00002-r00000364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000364-n000004",
   "batch_fingerprint": "f8fbbd2160542ea5cf77244025aa20ac3280ab97b1a8b5b0461b168d21827fbf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000364-n000004-0000-4b9614ffe0a7d719.parquet",
-      "sha256": "4b9614ffe0a7d719ab3bff2bd0a6916eb9ad5f439c16c58e477624d6f5a963e3",
-      "bytes": 195124,
-      "rows": 13,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000365.lean\",\"6fa783b21867d3048c60beb6ad8aade98f93a8fcc70f72b42572c580a786d5d5\",0,\"lean_workbook_plus_20283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000366.lean\",\"aad1c3719bdc18de2fe94ef6076392896e5adbe69828e3359d43e8f95a59dd6e\",0,\"lean_workbook_plus_29055\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000367.lean\",\"510afc64f2e12b70fc57972b8c8b3e0038b29ca10bb64852290dd3f4c0245d78\",0,\"lean_workbook_plus_53429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195124,
+      "path": "data/train/p76/oproofs-s00002-r00000364-n000004-0000-4b9614ffe0a7d719.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4b9614ffe0a7d719ab3bff2bd0a6916eb9ad5f439c16c58e477624d6f5a963e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000368-n000004.json b/manifests/batches/oproofs/s00002-r00000368-n000004.json
index 48f524b6c0ef1c0ea53615ca0b603a54042424ca..6ab91a0f4dfbda87eb6a2e2198018c13b970ce3d 100644
--- a/manifests/batches/oproofs/s00002-r00000368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000368-n000004",
   "batch_fingerprint": "e6c1386f1a0fd52e20de6901d29e5729bac60f089cad52edc405b9c15dc6b8c6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000368-n000004-0000-b2f77793e4cedb7f.parquet",
-      "sha256": "b2f77793e4cedb7fdfe23ec37745cdcfdec6175a72a63cc62439302c073016d0",
-      "bytes": 240824,
-      "rows": 21,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000369.lean\",\"694fd019ebde5bdec495dbee60437050d4d6f98aa4c5ec2975b727ddd8d65ef6\",0,\"lean_workbook_plus_61555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000370.lean\",\"88256b4f4cd115bc7cdf952cdcd4f6e52f0f39258a67d9868440f1a62a4f2561\",0,\"lean_workbook_plus_80041\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000371.lean\",\"c97cb447258d007616ed64f49f287e2a0012fadc76695587b47d3cd9431309a3\",0,\"lean_workbook_21669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240824,
+      "path": "data/train/pd1/oproofs-s00002-r00000368-n000004-0000-b2f77793e4cedb7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b2f77793e4cedb7fdfe23ec37745cdcfdec6175a72a63cc62439302c073016d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000372-n000004.json b/manifests/batches/oproofs/s00002-r00000372-n000004.json
index ac583dabc07d225dd495772046fe544a532e9bce..c9e6ecbc14fd1c04b49cb3ac31b85c29d0645a00 100644
--- a/manifests/batches/oproofs/s00002-r00000372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000372-n000004",
   "batch_fingerprint": "45c39f41c4648dbc308c35de3413d8268c87269c7b0b5b83a527b5dd54921295",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000372-n000004-0000-caac65c391b8c646.parquet",
-      "sha256": "caac65c391b8c64682f787a3e1b80ba7422ff1cdbc34fbc672c4dae92f83ec42",
-      "bytes": 512853,
-      "rows": 11,
-      "revision": "128aadf8bf0e654bebee5a1dbfdd452771acafbe"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:373",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000372.lean\",\"5c5a3042a4ab9e3bc5d874f9576bd70bcc87988e53fd1ae6f22cea8441651d6a\",0,\"lean_workbook_24973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000373.lean\",\"bc3b1e331abcaf82840db0f86e8cfcaf62bd22cf439690dbaf6c3d8ec0cb4b37\",0,\"lean_workbook_plus_40907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000375.lean\",\"180cb90d0d544fad29d52e584bea435adde97c8b47355c86c2d217880ab6b051\",0,\"lean_workbook_14920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512853,
+      "path": "data/train/p97/oproofs-s00002-r00000372-n000004-0000-caac65c391b8c646.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "caac65c391b8c64682f787a3e1b80ba7422ff1cdbc34fbc672c4dae92f83ec42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000376-n000004.json b/manifests/batches/oproofs/s00002-r00000376-n000004.json
index 4c356e1e5ee8d559175b165e2b46484d3ce98e63..3d0982d970b01004ba46e0e2284495a8828db602 100644
--- a/manifests/batches/oproofs/s00002-r00000376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000376-n000004",
   "batch_fingerprint": "28ab3aaf66c4e094ddc048587628d2600c7597f449b9a1c7ac4710becc847a04",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000376-n000004-0000-2b96dfe4bc033bc5.parquet",
-      "sha256": "2b96dfe4bc033bc5c2f7554a129b9406e404ddc5fc4f5f13e7fc110abfd6071d",
-      "bytes": 150288,
-      "rows": 19,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:377",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000377.lean\",\"5f6540f730be93bcd517158b7009862f11f2d8359d7cd710e8ffd5d225cf1546\",0,\"lean_workbook_plus_42592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000378.lean\",\"15feab89e6f2cce170f5e2386ab7f42616562bb279b13c77942e567f81bfc6eb\",0,\"lean_workbook_plus_35673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000379.lean\",\"cdcb008b45a5c8da9c8470b4570b7cfc59b9248988031f1808333bee672395e6\",0,\"power_in_360_calc\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150288,
+      "path": "data/train/pd9/oproofs-s00002-r00000376-n000004-0000-2b96dfe4bc033bc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2b96dfe4bc033bc5c2f7554a129b9406e404ddc5fc4f5f13e7fc110abfd6071d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000380-n000004.json b/manifests/batches/oproofs/s00002-r00000380-n000004.json
index 222528177ef7a25ce1f3f5f09e2ccaf1865b743b..ebda4419f369619da74846d772b5980890faab93 100644
--- a/manifests/batches/oproofs/s00002-r00000380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000380-n000004",
   "batch_fingerprint": "ff1e0c21ef9a9ee6a5da6955e0ce83783be7fa496c6bc5536a9add4b7b71c245",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000380-n000004-0000-d6b88e05ac8ec41f.parquet",
-      "sha256": "d6b88e05ac8ec41f6c47eebc17c4ce298fd5c28c5351388dc4e53d58c663cffe",
-      "bytes": 135510,
-      "rows": 11,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000380-n000004-0000-29f11fe3fe3e1fa8.parquet",
-      "sha256": "29f11fe3fe3e1fa8174643eba12a155029b0c9b6d901c7c9c4fb24de741b696c",
-      "bytes": 334051,
-      "rows": 8,
-      "revision": "eeedd844e279acde82191207201674df597f937a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:381",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000381.lean\",\"023f6ce545095c5e264beb63279ab2e50039029c451aa4c669dd18376e3229b4\",0,\"lean_workbook_plus_60255\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000382.lean\",\"3cd4dba6ed9c08c5195c6ef74b1215786c6545536e256764f4ecbf1704e56969\",0,\"lean_workbook_plus_20833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000383.lean\",\"b1e30477f78d7863a73f6ef31ac5d059e7a0c7e43c4ee6ecbb544dbddfae830c\",0,\"lean_workbook_41722\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135510,
+      "path": "data/train/p02/oproofs-s00002-r00000380-n000004-0000-d6b88e05ac8ec41f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d6b88e05ac8ec41f6c47eebc17c4ce298fd5c28c5351388dc4e53d58c663cffe"
+    },
+    {
+      "bytes": 334051,
+      "path": "data/internal_test/p02/oproofs-s00002-r00000380-n000004-0000-29f11fe3fe3e1fa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "29f11fe3fe3e1fa8174643eba12a155029b0c9b6d901c7c9c4fb24de741b696c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000384-n000004.json b/manifests/batches/oproofs/s00002-r00000384-n000004.json
index 7e4f5968643d8269c8b7be211ae6b1ac3f68eb07..e10040b1c9e2a5f72c8b20e4e3d8b6b80b1dbae7 100644
--- a/manifests/batches/oproofs/s00002-r00000384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000384-n000004",
   "batch_fingerprint": "8fa7305859e21ea0dd506521b3d592ad4516dedf3f65d93b07e219e843536adf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000384-n000004-0000-17863868b9816179.parquet",
-      "sha256": "17863868b9816179bdde82b29ed49d0a736850db7e44b62cebde3139f950e5b3",
-      "bytes": 366931,
-      "rows": 21,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000384-n000004-0000-9c1830f44fab0e20.parquet",
-      "sha256": "9c1830f44fab0e20ca110d679ed9e7f0951a43e68b02346590b34779f6c6b70e",
-      "bytes": 276175,
-      "rows": 3,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000385.lean\",\"719b93bb3ae86a0c55c18972c98e173713c3c34b80207c51a46b7e85ce350c6f\",0,\"lean_workbook_plus_60617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000386.lean\",\"3ade06ec7f0bfe3c5d5372dd1ff5eb6842f62e5f30a019ad0ab50849ac75bd21\",0,\"lean_workbook_plus_57476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000387.lean\",\"0d7a62034710f1d1904410e3ff404b5e01a1cc8408e3afa6bebd773fccb6d01c\",0,\"lean_workbook_plus_60799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366931,
+      "path": "data/train/pdb/oproofs-s00002-r00000384-n000004-0000-17863868b9816179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "17863868b9816179bdde82b29ed49d0a736850db7e44b62cebde3139f950e5b3"
+    },
+    {
+      "bytes": 276175,
+      "path": "data/dev/pdb/oproofs-s00002-r00000384-n000004-0000-9c1830f44fab0e20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9c1830f44fab0e20ca110d679ed9e7f0951a43e68b02346590b34779f6c6b70e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000388-n000004.json b/manifests/batches/oproofs/s00002-r00000388-n000004.json
index e80fa59f03fff59315b104b0466b08eee3f0c5f4..ce65e87071093e2618af97dfceb2fcf51d6e4057 100644
--- a/manifests/batches/oproofs/s00002-r00000388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000388-n000004",
   "batch_fingerprint": "cfce96cb35b1efca14a53268a491b2463bce2ae36d238551b60189285993e1b1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000388-n000004-0000-2690cf380e964412.parquet",
-      "sha256": "2690cf380e9644122b162ac455e349b7d56aab53109f4e38682416f65c18b68c",
-      "bytes": 116338,
-      "rows": 17,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000388-n000004-0000-70ee217d1d38bf49.parquet",
-      "sha256": "70ee217d1d38bf49c5576f67a65a57db0982a14def3bb8cb08caeb2cdd0978ba",
-      "bytes": 51282,
-      "rows": 3,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000389.lean\",\"1c0c47c4bd9119bc53f2534fe5490649a825fa00a858b5dde92cc5ccfd9ef502\",0,\"lean_workbook_plus_23523\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000390.lean\",\"3092a0636e55e35d44567f416beb4815fdc74266577d26f584f763243215a803\",0,\"lean_workbook_plus_31669\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000391.lean\",\"46752148899f4fade244affc0655775d24e7afae39421968df35f2ae208ffe90\",0,\"lean_workbook_plus_68917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116338,
+      "path": "data/train/pcb/oproofs-s00002-r00000388-n000004-0000-2690cf380e964412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2690cf380e9644122b162ac455e349b7d56aab53109f4e38682416f65c18b68c"
+    },
+    {
+      "bytes": 51282,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00000388-n000004-0000-70ee217d1d38bf49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "70ee217d1d38bf49c5576f67a65a57db0982a14def3bb8cb08caeb2cdd0978ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000392-n000004.json b/manifests/batches/oproofs/s00002-r00000392-n000004.json
index 3165c5ec00759c13ecef3cd2184470768bcbe4d2..0a72ac4cbadc8d8c3bdf4c9fd496586c6a1f639f 100644
--- a/manifests/batches/oproofs/s00002-r00000392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000392-n000004",
   "batch_fingerprint": "94dd16648fcd166bae0ee395c42ef58a2fbfdb1546bc391d697a608b15059361",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000392-n000004-0000-5b6770b4bfa63364.parquet",
-      "sha256": "5b6770b4bfa63364dac503065b53446647ceb4b632f29af6ff820ae3877fbcde",
-      "bytes": 495922,
-      "rows": 19,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000392-n000004-0000-c10c617a1c8286b3.parquet",
-      "sha256": "c10c617a1c8286b309ff365e77140d7ae76a63a142cb917e90443d75734ab842",
-      "bytes": 40753,
-      "rows": 2,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000393.lean\",\"d71229a136de2ba1702b0eaf781cb471fc801a01b63860dbbb14be74d4ed8719\",0,\"lean_workbook_plus_25001\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000394.lean\",\"e3874119b5bc25240064f112398970faaf42ee24a5a2465927ccea0d166e954d\",0,\"lean_workbook_10942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000395.lean\",\"1323be425c5cf21c5a4b94d90171a623d7a39826546813cdfc17fc0434b6a0a1\",0,\"lean_workbook_plus_42709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 495922,
+      "path": "data/train/p00/oproofs-s00002-r00000392-n000004-0000-5b6770b4bfa63364.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5b6770b4bfa63364dac503065b53446647ceb4b632f29af6ff820ae3877fbcde"
+    },
+    {
+      "bytes": 40753,
+      "path": "data/dev/p00/oproofs-s00002-r00000392-n000004-0000-c10c617a1c8286b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c10c617a1c8286b309ff365e77140d7ae76a63a142cb917e90443d75734ab842"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000396-n000004.json b/manifests/batches/oproofs/s00002-r00000396-n000004.json
index 95ec74d3a876ed3e48636b750f3ef96ced61895b..df4d86401347494e17fb99e51365e0baa0319093 100644
--- a/manifests/batches/oproofs/s00002-r00000396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000396-n000004",
   "batch_fingerprint": "ade2c1769fc08ca8c757c077fd0d2473bbb38446d5705fb34c626fd1a0677634",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:396",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:397",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:398",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:399"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000396.lean\",\"8dfd43af0d363555dce13b386995cf371d57ade1a0911b10980b21f5181cd992\",0,\"lean_workbook_plus_39867\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000397.lean\",\"6319d379590cec7a4bbb4a0584c31dc44cebe4f668927f55051c1c74e9f4de87\",0,\"lean_workbook_plus_21745\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000398.lean\",\"554d17c077a4489db7cc24a93835bee83abf99b19afd433b3a3332d044befc3e\",0,\"lean_workbook_plus_21751\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000399.lean\",\"918c2c554bb7271c8aaf401f0d0f57f8f4438bc776f6385755b6256543b988ac\",0,\"lean_workbook_53711\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000396-n000004-0000-f638eb1740045edc.parquet",
-      "sha256": "f638eb1740045edcb7394a85230e1cde802a6732d8d11f5ad740cf1f2beb5c91",
       "bytes": 464375,
+      "path": "data/train/pa1/oproofs-s00002-r00000396-n000004-0000-f638eb1740045edc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "f638eb1740045edcb7394a85230e1cde802a6732d8d11f5ad740cf1f2beb5c91"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000396-n000004-0000-3722293c758e1255.parquet",
-      "sha256": "3722293c758e1255395ce842adf88a970ef853bba4cd6e00162cac3100c4e8f8",
       "bytes": 154378,
+      "path": "data/dev/pa1/oproofs-s00002-r00000396-n000004-0000-3722293c758e1255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "3722293c758e1255395ce842adf88a970ef853bba4cd6e00162cac3100c4e8f8"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000396-n000004-0000-1ebc781b47b6c389.parquet",
-      "sha256": "1ebc781b47b6c38948fe6946383d6e416bae721c5b9ea406e81345a8e035e5a2",
       "bytes": 99821,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00000396-n000004-0000-1ebc781b47b6c389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "1ebc781b47b6c38948fe6946383d6e416bae721c5b9ea406e81345a8e035e5a2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:396",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:397",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:398",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:399"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000396.lean\",\"8dfd43af0d363555dce13b386995cf371d57ade1a0911b10980b21f5181cd992\",0,\"lean_workbook_plus_39867\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000397.lean\",\"6319d379590cec7a4bbb4a0584c31dc44cebe4f668927f55051c1c74e9f4de87\",0,\"lean_workbook_plus_21745\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000398.lean\",\"554d17c077a4489db7cc24a93835bee83abf99b19afd433b3a3332d044befc3e\",0,\"lean_workbook_plus_21751\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000399.lean\",\"918c2c554bb7271c8aaf401f0d0f57f8f4438bc776f6385755b6256543b988ac\",0,\"lean_workbook_53711\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000400-n000004.json b/manifests/batches/oproofs/s00002-r00000400-n000004.json
index 16986f0d338ec43d1b0fa1d19dbe6fe9e9560647..3099df831887257a6c49b58f4209df3baa3b4a87 100644
--- a/manifests/batches/oproofs/s00002-r00000400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000400-n000004",
   "batch_fingerprint": "1aeb5b92b03cdac42754bfd21abbe40d69878b436fb5d99695bb1105f97bf16e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000400-n000004-0000-7bbcc8f0e7415e54.parquet",
-      "sha256": "7bbcc8f0e7415e541c46e33b56c63371ee48466cbffef58bfc1262faabaeddee",
-      "bytes": 801727,
-      "rows": 21,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000400-n000004-0000-2308218d848b7a85.parquet",
-      "sha256": "2308218d848b7a852266bba6177d9c9362f39476135204a9e4278512d8a810a7",
-      "bytes": 246028,
-      "rows": 9,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000401.lean\",\"0d59f21357b08319ff82ee8fe36019b85c2d46e8d62ad1f2bfb8e971e8a07ece\",0,\"lean_workbook_plus_26986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000402.lean\",\"19cffd556dbdaf51649372a7c209708d6613a9ec127e19c735c9694195e916c2\",0,\"lean_workbook_plus_71132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000403.lean\",\"433492cd42512843a7ff6323dfbdc84f0a3c259d0e3018640a86ceea07d530c6\",0,\"lean_workbook_41587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 801727,
+      "path": "data/train/p02/oproofs-s00002-r00000400-n000004-0000-7bbcc8f0e7415e54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7bbcc8f0e7415e541c46e33b56c63371ee48466cbffef58bfc1262faabaeddee"
+    },
+    {
+      "bytes": 246028,
+      "path": "data/internal_test/p02/oproofs-s00002-r00000400-n000004-0000-2308218d848b7a85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2308218d848b7a852266bba6177d9c9362f39476135204a9e4278512d8a810a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000404-n000004.json b/manifests/batches/oproofs/s00002-r00000404-n000004.json
index d52fa93c80282cea78bd511257486980b2cff3d0..afb44346297e110e7fd4c4586ead5a850e0cf7d8 100644
--- a/manifests/batches/oproofs/s00002-r00000404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000404-n000004",
   "batch_fingerprint": "82462a0529140340962d541dfc9d4459ecd256c8c224a0aa473243230c98cd3d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000404-n000004-0000-ff0862a8cb2fe159.parquet",
-      "sha256": "ff0862a8cb2fe1591ee6df17662417ca08e3a88532f0203760e2f1656b4ea2d9",
-      "bytes": 98499,
-      "rows": 13,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000405.lean\",\"a188ab9991514c32d5e780d889bdf282f21fb7303e61b600b569bbcf63a15688\",0,\"salon_tip_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000406.lean\",\"2e4902511c9579a4d3715781a3a1f169cc18b3470b612c219f5bf0e1b275e98e\",0,\"lean_workbook_plus_60687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000407.lean\",\"12896688376a128571e38044c69dbd9d606e0ba8dea9f0e242ac602c715783c6\",0,\"lean_workbook_plus_73280\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98499,
+      "path": "data/train/pfe/oproofs-s00002-r00000404-n000004-0000-ff0862a8cb2fe159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ff0862a8cb2fe1591ee6df17662417ca08e3a88532f0203760e2f1656b4ea2d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000408-n000004.json b/manifests/batches/oproofs/s00002-r00000408-n000004.json
index 3c0d47a5482eeca18d71c4a29d1d64f7af1421a4..9b4ff23fa4b853594d61183aa1789f36e127e292 100644
--- a/manifests/batches/oproofs/s00002-r00000408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000408-n000004",
   "batch_fingerprint": "11d05df407043599dd0cc6fdf51e2b9cfa3c1704e316dbe8c86f0c44157ec1a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000408-n000004-0000-20fae992b26be286.parquet",
-      "sha256": "20fae992b26be286c5770f5ebce30f0c47738c492ed7a8cf9f3c17c4ff873b17",
-      "bytes": 207003,
-      "rows": 16,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000409.lean\",\"5c07c4be74e8f14add5575b8061727c0bbf9503fbdc4b5fc5bede6ac522fcb47\",0,\"lean_workbook_plus_35597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000410.lean\",\"98375c7c18ed3eff477ca2cad8947c882d322047c51b03a2420ae247d5c3c2ce\",0,\"lean_workbook_plus_43309\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000411.lean\",\"f9b30867be537c844e3fc0c16990eb4e20d6d4f70c9fd4f1bec7221010153348\",0,\"lean_workbook_plus_34376\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207003,
+      "path": "data/train/pb6/oproofs-s00002-r00000408-n000004-0000-20fae992b26be286.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "20fae992b26be286c5770f5ebce30f0c47738c492ed7a8cf9f3c17c4ff873b17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000412-n000004.json b/manifests/batches/oproofs/s00002-r00000412-n000004.json
index 8d797b9ddaf3bd99a6c840d3434990c11a225aa3..438bb66a831b3ff47d3284d35e0f3f17fe009e32 100644
--- a/manifests/batches/oproofs/s00002-r00000412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000412-n000004",
   "batch_fingerprint": "5d1e80d141d1290fe502dded0d7bdf0d60be3a4b98b090db5354d5cf445aa7f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000412-n000004-0000-9fcc3242e3c985c2.parquet",
-      "sha256": "9fcc3242e3c985c2c53e20071ba86d1d5f1d0f77d01442231eed9571de513411",
-      "bytes": 409145,
-      "rows": 24,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000412-n000004-0000-478ba570dc54294b.parquet",
-      "sha256": "478ba570dc54294bdee66c99c1dbb19a55b445bfcf1fb288607e0cfdbb7136ea",
-      "bytes": 204510,
-      "rows": 3,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:413",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000413.lean\",\"b991cf9a04a7d04fe938efabfd9ea3257882574a9fb59ef2d38722b1e1c88ff8\",0,\"lean_workbook_plus_3040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000414.lean\",\"c23c8378741e5d4921457afe8b113826dacdc5627b93d7ea96a88acb15be4021\",0,\"lean_workbook_plus_26642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000415.lean\",\"9382527df53104ddcef43accfb995a062eb7cb45414725746f97e5cac86f5668\",0,\"lean_workbook_plus_14213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409145,
+      "path": "data/train/pd3/oproofs-s00002-r00000412-n000004-0000-9fcc3242e3c985c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9fcc3242e3c985c2c53e20071ba86d1d5f1d0f77d01442231eed9571de513411"
+    },
+    {
+      "bytes": 204510,
+      "path": "data/dev/pd3/oproofs-s00002-r00000412-n000004-0000-478ba570dc54294b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "478ba570dc54294bdee66c99c1dbb19a55b445bfcf1fb288607e0cfdbb7136ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000416-n000004.json b/manifests/batches/oproofs/s00002-r00000416-n000004.json
index d7caa8469451c0e7a64b462386c367256b703e28..b39781aaee014bb914dca748f8578f91f5e003e6 100644
--- a/manifests/batches/oproofs/s00002-r00000416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000416-n000004",
   "batch_fingerprint": "38feb95d81dae50fa6e1a05df00b35a44c03b3450ac4d4b522875c07d6408fe8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000416-n000004-0000-8e08727c3d460287.parquet",
-      "sha256": "8e08727c3d460287d2fc1acda35f1d1f047bbf76324f1d943388fb53b6dfa19e",
-      "bytes": 181957,
-      "rows": 21,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:417",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000417.lean\",\"2c5a37ea4c1998dab223cffdafa689dd5f5e006fb54acf3fabdf57a0e45c4f86\",0,\"lean_workbook_plus_50535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000418.lean\",\"78250e194b30fce8ca1910d3f692146e734e98664b73312c45e9d85d017d7bc4\",0,\"lean_workbook_plus_60876\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000419.lean\",\"ceeb94890d89ba6b9111e317096ebf400de8663b52bc2938ce322a4906283d13\",0,\"lean_workbook_4003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181957,
+      "path": "data/train/p07/oproofs-s00002-r00000416-n000004-0000-8e08727c3d460287.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8e08727c3d460287d2fc1acda35f1d1f047bbf76324f1d943388fb53b6dfa19e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000420-n000004.json b/manifests/batches/oproofs/s00002-r00000420-n000004.json
index 7f0c6dee2809f8b47734a116669834d7b073be02..e5d03d6684af60518bc005ed9cec5d3ede1a628e 100644
--- a/manifests/batches/oproofs/s00002-r00000420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000420-n000004",
   "batch_fingerprint": "d0571bfbfb669188521950140d1d4ffa1e8ac02422c8b30d22200f3033d40a01",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000420-n000004-0000-62082f50f214081a.parquet",
-      "sha256": "62082f50f214081ae04bbba10dbb8e09ab12e43d97394221e86d6f47b987531a",
-      "bytes": 204015,
-      "rows": 17,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000421.lean\",\"75d82baab55f29cbd928a4c95f87b61c67d69715f2092e30febf4aa4203e470b\",0,\"lean_workbook_plus_65899\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000422.lean\",\"b495654896c755977d35a87731e86c459c6b193dfc23a9f08866abd796d29e64\",0,\"lean_workbook_plus_47405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000423.lean\",\"9aa67f0e53daa56fd343cd0f80729a18dfab46bee79d9e6ebc6a0c1f3ae69f62\",0,\"lean_workbook_plus_61374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204015,
+      "path": "data/train/p63/oproofs-s00002-r00000420-n000004-0000-62082f50f214081a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "62082f50f214081ae04bbba10dbb8e09ab12e43d97394221e86d6f47b987531a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000424-n000004.json b/manifests/batches/oproofs/s00002-r00000424-n000004.json
index 0e8984a75484b0baac7227f0793dc7ba3425fe37..663263b46b1c7fbaed79ace8563f12988fc6e440 100644
--- a/manifests/batches/oproofs/s00002-r00000424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000424-n000004",
   "batch_fingerprint": "43d706d9ba8ee9775c09af6fbdb9bdb54ae3743d00906067d307bdced3131947",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000424-n000004-0000-83390b837dcf285b.parquet",
-      "sha256": "83390b837dcf285ba68336a2ca87e68c9131d40c8fa3578f109474866cd1d5d0",
-      "bytes": 270947,
-      "rows": 20,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000425.lean\",\"3ee38055d5859161e98366b8d53419c16e7912e62f2ad866e212a041f745ed7b\",0,\"lean_workbook_33276\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000426.lean\",\"3197285d17910be2a26a8a7b2c021e428ddc75726aeb00b12176e9f893b79994\",0,\"lean_workbook_plus_14018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000427.lean\",\"794ddadff620f9970484510b4ab16be97235e82ba77271f4cc602f1d6839bf34\",0,\"lean_workbook_plus_23532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270947,
+      "path": "data/train/pff/oproofs-s00002-r00000424-n000004-0000-83390b837dcf285b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "83390b837dcf285ba68336a2ca87e68c9131d40c8fa3578f109474866cd1d5d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000428-n000004.json b/manifests/batches/oproofs/s00002-r00000428-n000004.json
index a248fefdc308e3d7827485677c62b365a0e6a4f6..eaae481b109c5e50924c32870146a4aa7b664cf3 100644
--- a/manifests/batches/oproofs/s00002-r00000428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000428-n000004",
   "batch_fingerprint": "09fea50f4febc2d1b97ed928379ff2e320b4e22567009364dcca5996eb979fbe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000428-n000004-0000-be989b017d7ea0e8.parquet",
-      "sha256": "be989b017d7ea0e85283d57d2cc99278dcfbe0e2b77b6d7ea5c1c943712ab050",
-      "bytes": 100595,
-      "rows": 9,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000428-n000004-0000-085b13abf7dd7c07.parquet",
-      "sha256": "085b13abf7dd7c078856cb12b9c4755dcc1de145f33c8dc37ba3ad46fcace299",
-      "bytes": 35354,
-      "rows": 2,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:429",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000429.lean\",\"282c607ba2ee1776971c185f360800edb74661b67aa155b9bee73d7ef6e1c017\",0,\"lean_workbook_plus_20283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000430.lean\",\"08d8e6e802b529b2ed26bd0dbea6a61d4826a0b211782401fb8db0f0b863f8a2\",0,\"lean_workbook_37566\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000431.lean\",\"b4e4c0f2832b98fc2096599947cf48ee11b47f2ddc6f72319937e40f286a7849\",0,\"lean_workbook_plus_53429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100595,
+      "path": "data/train/p15/oproofs-s00002-r00000428-n000004-0000-be989b017d7ea0e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "be989b017d7ea0e85283d57d2cc99278dcfbe0e2b77b6d7ea5c1c943712ab050"
+    },
+    {
+      "bytes": 35354,
+      "path": "data/internal_test/p15/oproofs-s00002-r00000428-n000004-0000-085b13abf7dd7c07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "085b13abf7dd7c078856cb12b9c4755dcc1de145f33c8dc37ba3ad46fcace299"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000432-n000004.json b/manifests/batches/oproofs/s00002-r00000432-n000004.json
index e3a6c8dd842ae104f6bd0f7014e66865b0026b59..152c8e10245170610deb021c68127871bfab9b09 100644
--- a/manifests/batches/oproofs/s00002-r00000432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000432-n000004",
   "batch_fingerprint": "b9abb4b9e470608218dd3ddc2b138f8d39c9a5ab69153a09941094e98c0a191b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000432-n000004-0000-1645b3803ddc03c5.parquet",
-      "sha256": "1645b3803ddc03c5bb6fe805bba621c4a59c9fd2c252173db3e8d286793e7c75",
-      "bytes": 244771,
-      "rows": 18,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000433.lean\",\"17e0512cec8c7a901d07ab5d293acb2336ed27b47567ac601717df61a1b2fa51\",0,\"lean_workbook_15407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000434.lean\",\"ed97df840f6e97a74b7e09aa6fcbd31f24046d3c5d1b7e2b56a33407a679ec3d\",0,\"lean_workbook_plus_39969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000435.lean\",\"4b5538df5dc6a6be152ab6e18e4d136f664f472da3a662d807cc4b8254e9a46e\",0,\"lean_workbook_plus_80041\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244771,
+      "path": "data/train/pdf/oproofs-s00002-r00000432-n000004-0000-1645b3803ddc03c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1645b3803ddc03c5bb6fe805bba621c4a59c9fd2c252173db3e8d286793e7c75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000436-n000004.json b/manifests/batches/oproofs/s00002-r00000436-n000004.json
index c4e38bc4209e11ba05bbf861739ee443afd629b7..b4fc5396b4d8d3d64ac9025c1292f90f8c0f2ff5 100644
--- a/manifests/batches/oproofs/s00002-r00000436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000436-n000004",
   "batch_fingerprint": "d96e47679a3645acdf0ac1fc69c114eb4fe60a7235a318689a281e54774162ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000436-n000004-0000-c231d40d79ba3940.parquet",
-      "sha256": "c231d40d79ba3940a8d1038d5f44f2c0d6f00ab4ea2062942b52f420e5e08acf",
-      "bytes": 219923,
-      "rows": 28,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000437.lean\",\"472e39c8afa6ce95fec2d88f0a70408383c5433e5d052575a656fe511458de5e\",0,\"lean_workbook_24973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000438.lean\",\"174d47fd42becb7080b4d66bba104ae55af8524f351c14c03a77b1f468858ee6\",0,\"lean_workbook_plus_78443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000439.lean\",\"806926bd4479472d7f40ce59ce7f4580ffcdabee6fee120718cae01cd2cf70ad\",0,\"lean_workbook_40221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219923,
+      "path": "data/train/p79/oproofs-s00002-r00000436-n000004-0000-c231d40d79ba3940.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "c231d40d79ba3940a8d1038d5f44f2c0d6f00ab4ea2062942b52f420e5e08acf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000440-n000004.json b/manifests/batches/oproofs/s00002-r00000440-n000004.json
index ef71f3318e421049682ceaf578e2ab486ed965b1..9fe4d67bfa183f4e8e81e199b38f2d0da51cb57b 100644
--- a/manifests/batches/oproofs/s00002-r00000440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000440-n000004",
   "batch_fingerprint": "b4852f126d643b5f1c330ed6c3d5f9a752030617927913cf288dc590f8297f65",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000440-n000004-0000-952585d5da491d04.parquet",
-      "sha256": "952585d5da491d0427c3bbffa53200583f3baef41ffdd90b2142d88722ba3fdf",
-      "bytes": 415763,
-      "rows": 26,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000441.lean\",\"b7d9213108250b17b693fd54e3b97e171039dbbfca0c670985ad9d5310e57342\",0,\"lean_workbook_14920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000442.lean\",\"98a173623ebea3dbb72aef31f437b3318a4c6dafe3eb34d87af87f72ebbf6806\",0,\"lean_workbook_plus_42592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000443.lean\",\"1f54b7e7b2902b3b11c246f1acf503a691d309f14fa4d1ae8f736cace62631b7\",0,\"lean_workbook_plus_35673\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415763,
+      "path": "data/train/p32/oproofs-s00002-r00000440-n000004-0000-952585d5da491d04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "952585d5da491d0427c3bbffa53200583f3baef41ffdd90b2142d88722ba3fdf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000444-n000004.json b/manifests/batches/oproofs/s00002-r00000444-n000004.json
index 8f916d4e1446bc895f3a013e28b747e22751b43c..90cb81b33e11f285adabbf6a803946632a0e0172 100644
--- a/manifests/batches/oproofs/s00002-r00000444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000444-n000004",
   "batch_fingerprint": "ca1a11279390105b63b8d804d8494bec6b5406f75b641d1880e478ac75f0a91d",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000444-n000004-0000-a6d2d5a465cab2b5.parquet",
-      "sha256": "a6d2d5a465cab2b5e6d7aaf5d70471adb2576b36d226331eeb83a2491bf2bb39",
-      "bytes": 227775,
-      "rows": 17,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000444-n000004-0000-5cf80c957a38f3f7.parquet",
-      "sha256": "5cf80c957a38f3f710201493ce83348c2c3156db6b9657c3ba8e50a1de3aa993",
-      "bytes": 114127,
-      "rows": 8,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:445",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:446",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000445.lean\",\"1f8194cbf97d175d207b6f863a52d74c4c104174a1ee6cad35e0985270f42169\",0,\"power_in_360_calc\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000446.lean\",\"51a676ab3dbdede3b2ea00043f7b039f60b396004d8d74a84adebcb9ed14e1e4\",0,\"lean_workbook_plus_30000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000447.lean\",\"4929d97a075807c0ccb9996e8f65aa5e9541f3534dfcc3d6599ef4b01c35e2e5\",0,\"lean_workbook_plus_80203\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227775,
+      "path": "data/train/p9f/oproofs-s00002-r00000444-n000004-0000-a6d2d5a465cab2b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a6d2d5a465cab2b5e6d7aaf5d70471adb2576b36d226331eeb83a2491bf2bb39"
+    },
+    {
+      "bytes": 114127,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00000444-n000004-0000-5cf80c957a38f3f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5cf80c957a38f3f710201493ce83348c2c3156db6b9657c3ba8e50a1de3aa993"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000448-n000004.json b/manifests/batches/oproofs/s00002-r00000448-n000004.json
index b581390e2b64c61a193e5069453f1b96dd625ede..6ca4fd91c67756b4c0e4aecbb1a29287634cd2e9 100644
--- a/manifests/batches/oproofs/s00002-r00000448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000448-n000004",
   "batch_fingerprint": "7836a8a3d80d96ed5bfaf44f19c7cb5ae7a692abef64f08fcdd4938af5bee3de",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000448-n000004-0000-94d5664e18b86412.parquet",
-      "sha256": "94d5664e18b864120d98b85817a3574ec558d05e157de6a8d2e39584a3cfb1d6",
-      "bytes": 147419,
-      "rows": 14,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000448-n000004-0000-a98f22a522f24f12.parquet",
-      "sha256": "a98f22a522f24f1292ad840b465c2290a20ccc28375639ecf042487971ac567b",
-      "bytes": 263255,
-      "rows": 12,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:449",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000449.lean\",\"71141455b891d982545a94e818740521a8421e553093ee56643e27e472b78048\",0,\"lean_workbook_plus_20833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000450.lean\",\"2b82e043edb31cdbaf72a9117cfc5f3188ff63f1358e093e0cbe62ee7e4dff94\",0,\"lean_workbook_41722\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000451.lean\",\"b3c203fce1efd19e5e28da7b8743f1446ca6598d2fa129cc11a446ae0600a4d8\",0,\"cooking_time_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147419,
+      "path": "data/train/pd0/oproofs-s00002-r00000448-n000004-0000-94d5664e18b86412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "94d5664e18b864120d98b85817a3574ec558d05e157de6a8d2e39584a3cfb1d6"
+    },
+    {
+      "bytes": 263255,
+      "path": "data/internal_test/pd0/oproofs-s00002-r00000448-n000004-0000-a98f22a522f24f12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a98f22a522f24f1292ad840b465c2290a20ccc28375639ecf042487971ac567b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000452-n000004.json b/manifests/batches/oproofs/s00002-r00000452-n000004.json
index 9e120f12dd9b1a2fc126b35615170a355c802ce9..ea1e2d2c9300b486aff89f6580a18e4677ac659b 100644
--- a/manifests/batches/oproofs/s00002-r00000452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000452-n000004",
   "batch_fingerprint": "0e10c9f786b36e6289c4d42112ee7568f8d416607df1aa773c6641e3589f247c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000452-n000004-0000-2a8af8305ed7d82c.parquet",
-      "sha256": "2a8af8305ed7d82c0cf9e4d3bae3e87079e5f8de30c43b2e53baf6fb9c1894b4",
-      "bytes": 489389,
-      "rows": 19,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000452-n000004-0000-53db94e0f26cc823.parquet",
-      "sha256": "53db94e0f26cc8234062e40a58ea8432b2ca1d455d74b4e64cf1216d1af0b51f",
-      "bytes": 49506,
-      "rows": 3,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000453.lean\",\"8d3e67086940082818588b765e667987acc61214f0b198760cb504c54d9e65a8\",0,\"lean_workbook_plus_64314\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000454.lean\",\"9b22730979707a684f772383747e4bb3b4c6aa6cc353783f67ff3e2a21d57c66\",0,\"lean_workbook_plus_81804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000455.lean\",\"169c3698e6b4f397732765ea3251d149a6baaf1283fb5fee84c4e3e52ec9d0ad\",0,\"lean_workbook_plus_23523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 489389,
+      "path": "data/train/pea/oproofs-s00002-r00000452-n000004-0000-2a8af8305ed7d82c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2a8af8305ed7d82c0cf9e4d3bae3e87079e5f8de30c43b2e53baf6fb9c1894b4"
+    },
+    {
+      "bytes": 49506,
+      "path": "data/internal_test/pea/oproofs-s00002-r00000452-n000004-0000-53db94e0f26cc823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "53db94e0f26cc8234062e40a58ea8432b2ca1d455d74b4e64cf1216d1af0b51f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000456-n000004.json b/manifests/batches/oproofs/s00002-r00000456-n000004.json
index 23894c053f6dea08ba91b18daa8b79a20fedac27..4b54de7e47192b2a7b4bdc2d69b8f89e7cc03bc1 100644
--- a/manifests/batches/oproofs/s00002-r00000456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000456-n000004",
   "batch_fingerprint": "d466c16848eb3ce4f31f6c28783b4e1b22243bf62c8a713caa1421d4f0feb61a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000456-n000004-0000-522d5dab5431ba8b.parquet",
-      "sha256": "522d5dab5431ba8b0ff31bb6fcd7412aa7d070640c8a36a1575520c7b8ed8a40",
-      "bytes": 130167,
-      "rows": 18,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000456-n000004-0000-dbaaaa8192cdbbb0.parquet",
-      "sha256": "dbaaaa8192cdbbb028221e93bc822c9b55ed83c530c130b291b9ec6962371fb2",
-      "bytes": 42882,
-      "rows": 2,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000457.lean\",\"7093373106cee95df5ad688aae5598f6a21c4c70a3d4df95e80e43dd8c29b7e9\",0,\"sets_union_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000458.lean\",\"c36157924ed62ea94b4730a0b8cb585ad67ad135a1208e3ca6919bb27c702abb\",0,\"lean_workbook_plus_25001\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000459.lean\",\"eb9c9f50dcfd3f5beb2f9cc44b2fd44d81a343b8c5b97a22abdf68c00996d442\",0,\"raisin_mixture_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130167,
+      "path": "data/train/p23/oproofs-s00002-r00000456-n000004-0000-522d5dab5431ba8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "522d5dab5431ba8b0ff31bb6fcd7412aa7d070640c8a36a1575520c7b8ed8a40"
+    },
+    {
+      "bytes": 42882,
+      "path": "data/dev/p23/oproofs-s00002-r00000456-n000004-0000-dbaaaa8192cdbbb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dbaaaa8192cdbbb028221e93bc822c9b55ed83c530c130b291b9ec6962371fb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000460-n000004.json b/manifests/batches/oproofs/s00002-r00000460-n000004.json
index e7d85c7d39af440321db87941a1056b32988890f..a4147c50324e14cd3c155056df5a322be394a127 100644
--- a/manifests/batches/oproofs/s00002-r00000460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000460-n000004",
   "batch_fingerprint": "4456bd592ccaefd80e898508a1169e0a6f4a58dc23d9660079dadccb511840b4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000460-n000004-0000-b4439d0a02f83a1c.parquet",
-      "sha256": "b4439d0a02f83a1ca2f732ad96ea2c7e8bb948a8ba37281b6f5d31ae4803450f",
-      "bytes": 381805,
-      "rows": 24,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000460-n000004-0000-0fa9310b095b736a.parquet",
-      "sha256": "0fa9310b095b736a12f9d0bf6348a4c259315bb64b8959a825fbb2a3d6d674c9",
-      "bytes": 101562,
-      "rows": 4,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000461.lean\",\"599e603b12ed555ed3ef6c9b2720a8dc5c5a4308b37deeff793e8f6ac19c67ad\",0,\"lean_workbook_10942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000462.lean\",\"2d642f660f33dcedc826c6e55d190821b49219f082579754137449437559f529\",0,\"max_value_product\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000463.lean\",\"336422cecca10a447a4c08d179329d28b5117cb48c43011b8fe2c3a478125648\",0,\"lean_workbook_plus_39867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381805,
+      "path": "data/train/pb1/oproofs-s00002-r00000460-n000004-0000-b4439d0a02f83a1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b4439d0a02f83a1ca2f732ad96ea2c7e8bb948a8ba37281b6f5d31ae4803450f"
+    },
+    {
+      "bytes": 101562,
+      "path": "data/internal_test/pb1/oproofs-s00002-r00000460-n000004-0000-0fa9310b095b736a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0fa9310b095b736a12f9d0bf6348a4c259315bb64b8959a825fbb2a3d6d674c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000464-n000004.json b/manifests/batches/oproofs/s00002-r00000464-n000004.json
index 720a5d68105d67adf65412193e939fa4b8f7ffc4..b5ddf89118cbd7744e4f3eed7f2208065a208a85 100644
--- a/manifests/batches/oproofs/s00002-r00000464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000464-n000004",
   "batch_fingerprint": "65cf2194cb637f624f0b75feae289c8ad3e4be255259aa7992fed96acdb099cc",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:464",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:465",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:466",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:467"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000464.lean\",\"ffa1af99134dff9e3b91a00e1f4b5c92237c8d7ae23fb11de701b42b46ec581f\",0,\"lean_workbook_plus_53959\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000465.lean\",\"4f9ea0ead1e9996d2f014c8a4f8ee8712d6eb7d7457339bcc0e45dfb08b9659f\",0,\"lean_workbook_46085\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000466.lean\",\"035cecc513b9802842b3e54008d1354589e38024365bf3447da2b46de7aa307f\",0,\"lean_workbook_plus_21745\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000467.lean\",\"cf3eaef79ae4be272cfde9dfd6a51ba0a269d0cc8e1d71ad5b7406f0f055c51b\",0,\"lean_workbook_plus_26986\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000464-n000004-0000-cd91d227a7b7baf8.parquet",
-      "sha256": "cd91d227a7b7baf8853624560e01dc9b176e89aaab7e8423a12bc7b37cd98102",
       "bytes": 178079,
+      "path": "data/train/p7f/oproofs-s00002-r00000464-n000004-0000-cd91d227a7b7baf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "cd91d227a7b7baf8853624560e01dc9b176e89aaab7e8423a12bc7b37cd98102"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000464-n000004-0000-123e604fb4ac3c68.parquet",
-      "sha256": "123e604fb4ac3c68be05f8dece5ea2f5c046eae9a1f9b7275a42c6a9506b967d",
       "bytes": 155358,
+      "path": "data/dev/p7f/oproofs-s00002-r00000464-n000004-0000-123e604fb4ac3c68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "123e604fb4ac3c68be05f8dece5ea2f5c046eae9a1f9b7275a42c6a9506b967d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000464-n000004-0000-d442f00c9a34e541.parquet",
-      "sha256": "d442f00c9a34e5413b61a19d0fd4428129edc165f53be68388274bea4fda03bf",
       "bytes": 423539,
+      "path": "data/internal_test/p7f/oproofs-s00002-r00000464-n000004-0000-d442f00c9a34e541.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "d442f00c9a34e5413b61a19d0fd4428129edc165f53be68388274bea4fda03bf"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:464",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:465",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:466",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:467"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000464.lean\",\"ffa1af99134dff9e3b91a00e1f4b5c92237c8d7ae23fb11de701b42b46ec581f\",0,\"lean_workbook_plus_53959\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000465.lean\",\"4f9ea0ead1e9996d2f014c8a4f8ee8712d6eb7d7457339bcc0e45dfb08b9659f\",0,\"lean_workbook_46085\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000466.lean\",\"035cecc513b9802842b3e54008d1354589e38024365bf3447da2b46de7aa307f\",0,\"lean_workbook_plus_21745\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000467.lean\",\"cf3eaef79ae4be272cfde9dfd6a51ba0a269d0cc8e1d71ad5b7406f0f055c51b\",0,\"lean_workbook_plus_26986\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000468-n000004.json b/manifests/batches/oproofs/s00002-r00000468-n000004.json
index c9c5d6f4fb0be6daf8ec63eec7ba4a3ab7093363..b2f72a6395ff7590958a746e5d84eb2e085ad26b 100644
--- a/manifests/batches/oproofs/s00002-r00000468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000468-n000004",
   "batch_fingerprint": "5d398a0b89f25317b5629669dcf003bc0e3421137674563e60480ed51a5b98f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000468-n000004-0000-29df1f7fa5fb5108.parquet",
-      "sha256": "29df1f7fa5fb51087d7e0aa8378ebfeb13c055e84188a89f163d0034635cfcf2",
-      "bytes": 300740,
-      "rows": 11,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000468-n000004-0000-8fcd22e5355b019a.parquet",
-      "sha256": "8fcd22e5355b019a9f4f19dbc98f247d50d7656910952051e7e82a6b98e199cf",
-      "bytes": 750954,
-      "rows": 9,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000469.lean\",\"f36e8b07a99b6c983cc7ff64a096a4c161d89dd5afca1eb75de9bc10f1998cad\",0,\"lean_workbook_plus_11813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000470.lean\",\"9e12a338e4fd4013cd2f7a2455fbc78838cff615a9adc3aad0da862778fd6931\",0,\"lean_workbook_46062\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000471.lean\",\"30c5c185b96b207c9389adc266a39faa535641639d14fb2a6444e054fd5496fb\",0,\"lean_workbook_39003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300740,
+      "path": "data/train/p6a/oproofs-s00002-r00000468-n000004-0000-29df1f7fa5fb5108.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "29df1f7fa5fb51087d7e0aa8378ebfeb13c055e84188a89f163d0034635cfcf2"
+    },
+    {
+      "bytes": 750954,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00000468-n000004-0000-8fcd22e5355b019a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8fcd22e5355b019a9f4f19dbc98f247d50d7656910952051e7e82a6b98e199cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000472-n000004.json b/manifests/batches/oproofs/s00002-r00000472-n000004.json
index de393f1d53e8e08abd074edfbb736ec210b8a188..6466d9552f29003f9a947499ed3d7943ffde8994 100644
--- a/manifests/batches/oproofs/s00002-r00000472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000472-n000004",
   "batch_fingerprint": "b656f6c1b75508969d8c6f254743ffe2195c01982c25972a12da6bf88f9e8fed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000472-n000004-0000-e7d4e5f6c9d45372.parquet",
-      "sha256": "e7d4e5f6c9d453721794bf1b940b115f7074830b060983060fe76b2a4eb33928",
-      "bytes": 56549,
-      "rows": 7,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000472-n000004-0000-4325430dde16350f.parquet",
-      "sha256": "4325430dde16350fa24e33e247ede869a652fad72fbaa80a27c0a8d75cc47af8",
-      "bytes": 224123,
-      "rows": 10,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000473.lean\",\"f18bba95aa95fd4b188a478f9aa85e40d6b9039b6475f2d45ba23dda2583d862\",0,\"lean_workbook_plus_76802\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000474.lean\",\"3a516cd95046f63d36606f43a6b392b410438a070a6fd5f67eee7c7f8e0bffe1\",0,\"lean_workbook_plus_65698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000475.lean\",\"4f5f63e2534b101b4530d119b4c6cda34b5f25ef44c84ca8064e638e10441691\",0,\"lean_workbook_47992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 56549,
+      "path": "data/train/pf9/oproofs-s00002-r00000472-n000004-0000-e7d4e5f6c9d45372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e7d4e5f6c9d453721794bf1b940b115f7074830b060983060fe76b2a4eb33928"
+    },
+    {
+      "bytes": 224123,
+      "path": "data/internal_test/pf9/oproofs-s00002-r00000472-n000004-0000-4325430dde16350f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4325430dde16350fa24e33e247ede869a652fad72fbaa80a27c0a8d75cc47af8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000476-n000004.json b/manifests/batches/oproofs/s00002-r00000476-n000004.json
index e08a207fe28b6d90c2c9ca6bb2c94c4e7ad73dd3..7e3b6c44d8ae4012e962bf3c98aeba8b9e8099a0 100644
--- a/manifests/batches/oproofs/s00002-r00000476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000476-n000004",
   "batch_fingerprint": "e6d45d84e0990654d8e0518558ccd9d6ee6e2d1db624ddab9bdf3ba5e963d087",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000476-n000004-0000-4627ece7ef02b4c2.parquet",
-      "sha256": "4627ece7ef02b4c26b6660f107d81cd568546c6b3492d9cfa7e282d5fee655cb",
-      "bytes": 342352,
-      "rows": 13,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000476-n000004-0000-d5feb9e2f4538713.parquet",
-      "sha256": "d5feb9e2f45387136bdd6c20b9e9ed1d008d31a65650fb6f2ce7ea7d6edc9ed9",
-      "bytes": 93318,
-      "rows": 6,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000477.lean\",\"362622b0bec99e2374fbd32f251f5b13680734dd95f17fa721e152985ce42e53\",0,\"lean_workbook_plus_47104\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000478.lean\",\"9b365ad9baf58979b017e85d6863142d6e897c5086d2329f061834aec73d92f2\",0,\"lean_workbook_plus_75715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000479.lean\",\"927dcfd90bec84ac96611d16ea95207b626dfb1b75bede5642018fb6a40ddf53\",0,\"MatrixInvertible\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342352,
+      "path": "data/train/p12/oproofs-s00002-r00000476-n000004-0000-4627ece7ef02b4c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4627ece7ef02b4c26b6660f107d81cd568546c6b3492d9cfa7e282d5fee655cb"
+    },
+    {
+      "bytes": 93318,
+      "path": "data/internal_test/p12/oproofs-s00002-r00000476-n000004-0000-d5feb9e2f4538713.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d5feb9e2f45387136bdd6c20b9e9ed1d008d31a65650fb6f2ce7ea7d6edc9ed9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000480-n000004.json b/manifests/batches/oproofs/s00002-r00000480-n000004.json
index d46f929cbd49763a355666372111aec6d833f12e..d960cea459daf395c21dff9e94fc35b67ebc336e 100644
--- a/manifests/batches/oproofs/s00002-r00000480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000480-n000004",
   "batch_fingerprint": "588e44bd61da513ebdd1cc9c85f6ea9b248d77e2a376308d7fcd0a8cf0a6f690",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:480",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:481",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:482",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:483"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000480.lean\",\"1d16a2f8be240d5bb9263c4d0027711205e7d521dcc2696d296e1ba0df3e4f0f\",0,\"h\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000481.lean\",\"ebf5343ac40716df5aebf8fb5604783d6d082e67f165ca5eb00e45a63c2365e6\",0,\"max_of_three\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000482.lean\",\"7b17338e230716462572f2fa739458eeea0b75d5cfda7725b2993d78e9aafa18\",0,\"Polynomial.eval_ne\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000483.lean\",\"36ce5c1903a7dffa6de77865047e09c0785a0f833f247f62a5f157febf7178bb\",0,\"sum_of_series\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000480-n000004-0000-53b924a991b35305.parquet",
-      "sha256": "53b924a991b353059a72998d5aad6da57fde4d032676e74613ec3d495141193c",
       "bytes": 389141,
+      "path": "data/train/p0e/oproofs-s00002-r00000480-n000004-0000-53b924a991b35305.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "53b924a991b353059a72998d5aad6da57fde4d032676e74613ec3d495141193c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000480-n000004-0000-a8f0edfc29b021d1.parquet",
-      "sha256": "a8f0edfc29b021d15331ef028ec8dd060d6becec70cb0db0c2de9bfdece6183f",
       "bytes": 212659,
+      "path": "data/dev/p0e/oproofs-s00002-r00000480-n000004-0000-a8f0edfc29b021d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "a8f0edfc29b021d15331ef028ec8dd060d6becec70cb0db0c2de9bfdece6183f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000480-n000004-0000-4600cab1291ab42d.parquet",
-      "sha256": "4600cab1291ab42d0f3d03b6ccce4500869cdf76f686f83c922d7f7f87bf0052",
       "bytes": 123287,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00000480-n000004-0000-4600cab1291ab42d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
+      "sha256": "4600cab1291ab42d0f3d03b6ccce4500869cdf76f686f83c922d7f7f87bf0052"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:480",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:481",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:482",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:483"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000480.lean\",\"1d16a2f8be240d5bb9263c4d0027711205e7d521dcc2696d296e1ba0df3e4f0f\",0,\"h\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000481.lean\",\"ebf5343ac40716df5aebf8fb5604783d6d082e67f165ca5eb00e45a63c2365e6\",0,\"max_of_three\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000482.lean\",\"7b17338e230716462572f2fa739458eeea0b75d5cfda7725b2993d78e9aafa18\",0,\"Polynomial.eval_ne\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000483.lean\",\"36ce5c1903a7dffa6de77865047e09c0785a0f833f247f62a5f157febf7178bb\",0,\"sum_of_series\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000484-n000004.json b/manifests/batches/oproofs/s00002-r00000484-n000004.json
index 1356c16552f2411c6048574a7d4d92e3a2fe0dfc..05aae537c7d96f59cd91c408fbe64c1f8b77dabe 100644
--- a/manifests/batches/oproofs/s00002-r00000484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000484-n000004",
   "batch_fingerprint": "6b39711a0c732f41a9fe3fd3c0ab47a2bd36acbfbcbf5a8112eaad9cd71c745f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000484-n000004-0000-65c5e45f8043db2f.parquet",
-      "sha256": "65c5e45f8043db2ff64ac56727a9f9ee91b6a7235f89a6a62b423f4a3397e041",
-      "bytes": 383443,
-      "rows": 20,
-      "revision": "a10d63b92af21ffc489093b922ff505e4c151ede"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000485.lean\",\"89a36f7740f5e6820e9d8dd527856a7186b4c31258b918df3af06cec75ba877e\",0,\"gcd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000486.lean\",\"a7ce8f21bc213fdbd0c01563ad01443345a6044b32a195005eb4ce9a3ef742e0\",0,\"convex_set\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000487.lean\",\"71a30a1cbeba86eb25095a1f73e0d26b4d89d03b24c620049fb6c160dafdfd02\",0,\"inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383443,
+      "path": "data/train/p2a/oproofs-s00002-r00000484-n000004-0000-65c5e45f8043db2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "65c5e45f8043db2ff64ac56727a9f9ee91b6a7235f89a6a62b423f4a3397e041"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000488-n000004.json b/manifests/batches/oproofs/s00002-r00000488-n000004.json
index efaf0306dd1566f130a73315b65bc6b624d8fbb6..779a32dc896091d912f261edf1ddb9fa064e2fca 100644
--- a/manifests/batches/oproofs/s00002-r00000488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000488-n000004",
   "batch_fingerprint": "c4149b9227d18ffcf930cebd2387a84c8beaebc61892bac4e535492569eb733d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000488-n000004-0000-ab878c7b7ec08104.parquet",
-      "sha256": "ab878c7b7ec08104269abe6b83d683be96c97dddc5bd486365be3c3c6bc598f3",
-      "bytes": 361446,
-      "rows": 15,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000488-n000004-0001-8cf1c893732adeac.parquet",
-      "sha256": "8cf1c893732adeac892db0db7632c172f79f589da562396fd9eb183a7a7385b1",
-      "bytes": 1408904,
-      "rows": 2,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000489.lean\",\"4985d36a97bea4dc25b42ca48bdefb36db70f248a490a9eb8349b2148f18229f\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000490.lean\",\"230c80955fcbcc7426c2aa07e07a7d3c82a8f94bbd0c28fc19f18025bda55bfd\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000491.lean\",\"5b3dcab7de3ae942f521b220aa988d59a5f3f81d213ce6a796e53a59bd383ef9\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361446,
+      "path": "data/train/p8c/oproofs-s00002-r00000488-n000004-0000-ab878c7b7ec08104.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ab878c7b7ec08104269abe6b83d683be96c97dddc5bd486365be3c3c6bc598f3"
+    },
+    {
+      "bytes": 1408904,
+      "path": "data/train/p8c/oproofs-s00002-r00000488-n000004-0001-8cf1c893732adeac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8cf1c893732adeac892db0db7632c172f79f589da562396fd9eb183a7a7385b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000492-n000004.json b/manifests/batches/oproofs/s00002-r00000492-n000004.json
index 44eb9988b902ac06ac6b49ae9ab34f549cad92c4..d9947cc98e4b6892466d821919e0baeff0b9ba17 100644
--- a/manifests/batches/oproofs/s00002-r00000492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000492-n000004",
   "batch_fingerprint": "2e1dfb728dc2ed45e8a7fcc3b0202c29e5f65a34abc37dc3b00aa7574d49efca",
   "evidence": {
@@ -60,15 +59,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000492-n000004-0000-ad4fdb7088800eeb.parquet",
-      "sha256": "ad4fdb7088800eeb9eba4b85dfa0191f2c8e5ee9faaf803768c843fdcd48d10f",
-      "bytes": 178808,
-      "rows": 6,
-      "revision": "a8baf912f642bb89d83c8549e836a8c00fb40eee"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:493"
@@ -76,5 +67,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000492.lean\",\"a186771ed387330d58965d4181d909f8a1014a9001a9b8837e4ba535895ec771\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000493.lean\",\"4812f88287ff3a01804858556a23e4306331e056bfde6a461dcfa9750c3920db\",0,\"for_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178808,
+      "path": "data/train/pb2/oproofs-s00002-r00000492-n000004-0000-ad4fdb7088800eeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ad4fdb7088800eeb9eba4b85dfa0191f2c8e5ee9faaf803768c843fdcd48d10f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000496-n000004.json b/manifests/batches/oproofs/s00002-r00000496-n000004.json
index 279c4aeb3586d9454afcc7da85bd06e979ad4ece..fcbae7038428050b70cc3d0e45d052173c93aa79 100644
--- a/manifests/batches/oproofs/s00002-r00000496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000496-n000004",
   "batch_fingerprint": "59fe38523b4203bc569ea655130669e5f982394d56a57a31667c0ea6635fe93d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:496",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:497",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:498",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:499"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000496.lean\",\"05856288e875b73ead66049f484432f75e0c5d9411c0effd7ee2ebc624305fc9\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000497.lean\",\"410d58dc2796598ea5fbc22c9ec68860e2a9d994cd06ed433d5cfa8efb423c53\",0,\"triangle_ineq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000498.lean\",\"4b10e7aad2ff3b8c0f9cbd08e1a2fe400d82a9880e62a0a3b1f7cdb36aaa1763\",0,\"a_b_c\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000499.lean\",\"25af84128216ac2dadb1934688c0e932498a3ca59653610176a6582d861ad2ef\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000496-n000004-0000-5a10bfca77a1f327.parquet",
-      "sha256": "5a10bfca77a1f327ab502553b2874077440073cff57e89cf88640c1bdea4d695",
       "bytes": 1049587,
+      "path": "data/train/pb8/oproofs-s00002-r00000496-n000004-0000-5a10bfca77a1f327.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "5a10bfca77a1f327ab502553b2874077440073cff57e89cf88640c1bdea4d695"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000496-n000004-0001-8213a30b2d49dcac.parquet",
-      "sha256": "8213a30b2d49dcacf8953e185e2b087c1f7ddf064feca4dde4e8505436e1ee26",
       "bytes": 580911,
+      "path": "data/train/pb8/oproofs-s00002-r00000496-n000004-0001-8213a30b2d49dcac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "8213a30b2d49dcacf8953e185e2b087c1f7ddf064feca4dde4e8505436e1ee26"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000496-n000004-0000-38f1e511b62b1334.parquet",
-      "sha256": "38f1e511b62b1334f2fed68ca994b5da949236b3be568eae965bd81c50b86fc1",
       "bytes": 234850,
+      "path": "data/internal_test/pb8/oproofs-s00002-r00000496-n000004-0000-38f1e511b62b1334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "38f1e511b62b1334f2fed68ca994b5da949236b3be568eae965bd81c50b86fc1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:496",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:497",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:498",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:499"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000496.lean\",\"05856288e875b73ead66049f484432f75e0c5d9411c0effd7ee2ebc624305fc9\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000497.lean\",\"410d58dc2796598ea5fbc22c9ec68860e2a9d994cd06ed433d5cfa8efb423c53\",0,\"triangle_ineq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000498.lean\",\"4b10e7aad2ff3b8c0f9cbd08e1a2fe400d82a9880e62a0a3b1f7cdb36aaa1763\",0,\"a_b_c\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000499.lean\",\"25af84128216ac2dadb1934688c0e932498a3ca59653610176a6582d861ad2ef\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000500-n000004.json b/manifests/batches/oproofs/s00002-r00000500-n000004.json
index e4ed0f465d00cda811b1681855baab888cc62823..75cf65a36ec69b4b48f466c286c06535cf716efc 100644
--- a/manifests/batches/oproofs/s00002-r00000500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000500-n000004",
   "batch_fingerprint": "71081b44621dd71cce69196537f8bdf5bda295b5202c58d7c01699c0932ab9d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000500-n000004-0000-7b63cf5b12f2a8aa.parquet",
-      "sha256": "7b63cf5b12f2a8aa71c4817cdfc0e346b7331ffef779b376f3e7eef0ebe1f831",
-      "bytes": 390076,
-      "rows": 27,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000500-n000004-0000-0a4308c34215ee70.parquet",
-      "sha256": "0a4308c34215ee70db985e475a06be6a7e41709371b48867daa75d8f3e069049",
-      "bytes": 65614,
-      "rows": 7,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:501",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000501.lean\",\"abefafb287f8bfad87cf36ea106c691978ffabb43664388d6f4bbbfd0ab7d71c\",0,\"logb_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000502.lean\",\"8cc9dc164412d4eba3a3103618ff5a4bd734befdc96c453ed671cf4edfb309ea\",0,\"algebra_458495\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000503.lean\",\"16f1bfaad32020c93dbe981a87da1ccc3c794b077bca4d53288461890893627a\",0,\"isPrimitiveRoot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390076,
+      "path": "data/train/pd0/oproofs-s00002-r00000500-n000004-0000-7b63cf5b12f2a8aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "7b63cf5b12f2a8aa71c4817cdfc0e346b7331ffef779b376f3e7eef0ebe1f831"
+    },
+    {
+      "bytes": 65614,
+      "path": "data/internal_test/pd0/oproofs-s00002-r00000500-n000004-0000-0a4308c34215ee70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0a4308c34215ee70db985e475a06be6a7e41709371b48867daa75d8f3e069049"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000504-n000004.json b/manifests/batches/oproofs/s00002-r00000504-n000004.json
index a7998491c0e73d4c8e9538a3c850ebcca5972320..a4e813d99f17237a2a08b66dca84d95d044cc260 100644
--- a/manifests/batches/oproofs/s00002-r00000504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000504-n000004",
   "batch_fingerprint": "b1f55fa3bda10b0fe54c05263f76782bd3be8bc4ac2fd6d880c7b1307346ac73",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000504-n000004-0000-14ff4b5fc398033c.parquet",
-      "sha256": "14ff4b5fc398033c0bc6ed21006c5aec1eeb7fee2ddb20eeb3a40a4abcf6052a",
-      "bytes": 673206,
-      "rows": 24,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000504-n000004-0000-eb9aafeca2775865.parquet",
-      "sha256": "eb9aafeca2775865bf8611800be27cab51ab8526d4c743828e25bab3f67f2a2e",
-      "bytes": 256048,
-      "rows": 6,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000505.lean\",\"b526bfd3ff12856081822c8c13625e19da06fa9c17f65e626fe6c7fdbe46fae8\",0,\"Nat.gcd'\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000506.lean\",\"aef6bb009fb108701a480d24569bcb8a4648c5ddbb53176bd9a33b4a887952c6\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000507.lean\",\"ab44a3a8780814e6dc6ad775da2b4706b07e7c39da873234fd44aa42cf6ba14b\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 673206,
+      "path": "data/train/p35/oproofs-s00002-r00000504-n000004-0000-14ff4b5fc398033c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "14ff4b5fc398033c0bc6ed21006c5aec1eeb7fee2ddb20eeb3a40a4abcf6052a"
+    },
+    {
+      "bytes": 256048,
+      "path": "data/internal_test/p35/oproofs-s00002-r00000504-n000004-0000-eb9aafeca2775865.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "eb9aafeca2775865bf8611800be27cab51ab8526d4c743828e25bab3f67f2a2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000508-n000004.json b/manifests/batches/oproofs/s00002-r00000508-n000004.json
index fa78fe36b4cd315567f6c0f9849f2634f3a60bbb..aaeda6b0e5d11ef9ae135a819487b2125854c08f 100644
--- a/manifests/batches/oproofs/s00002-r00000508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000508-n000004",
   "batch_fingerprint": "17f8d83d07e83d1e267257c15d15f6697d4116e6c1cef2dc6b89b4fd1b60c5cc",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:508",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:509",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:510",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:511"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000508.lean\",\"dc85113680eae61558d976387b62baab460c559defebe85bc70c40e5a7f91385\",0,\"algebra_482507\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000509.lean\",\"33c52fa94c9a57f1d40226b4903ffcd3a9a9d5f7b2d746e23a6fd1b2871621c0\",0,\"prove_diff_eq_3\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000510.lean\",\"22195ac343c3fa99f423b805a92adf79eb96c3f64a93ba7c5e77bacfa741a895\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000511.lean\",\"f1d2f2a6f383111958bbdd016bbcb498035ae0bca522b719ed2a5424525a8e6e\",0,\"inequalities\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000508-n000004-0000-130f83b6966c5a42.parquet",
-      "sha256": "130f83b6966c5a42bdd897d5823daf4d0c90e75bfbe67b9ca1109a6e1de0bfc8",
       "bytes": 560201,
+      "path": "data/train/pe5/oproofs-s00002-r00000508-n000004-0000-130f83b6966c5a42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "130f83b6966c5a42bdd897d5823daf4d0c90e75bfbe67b9ca1109a6e1de0bfc8"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000508-n000004-0000-fb8fca73697df1c5.parquet",
-      "sha256": "fb8fca73697df1c5bcb84d95581cfb5ef0af5c08d4408852632f90b6cbbfe50a",
       "bytes": 120399,
+      "path": "data/dev/pe5/oproofs-s00002-r00000508-n000004-0000-fb8fca73697df1c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "fb8fca73697df1c5bcb84d95581cfb5ef0af5c08d4408852632f90b6cbbfe50a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000508-n000004-0000-035e28503fe0abb7.parquet",
-      "sha256": "035e28503fe0abb7f8ec934de487fa274d0b2ee42795d0be4e994b7acc404c6b",
       "bytes": 52150,
+      "path": "data/internal_test/pe5/oproofs-s00002-r00000508-n000004-0000-035e28503fe0abb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ecedf8e7bc357a399ce475235f368c1a1712848a"
+      "sha256": "035e28503fe0abb7f8ec934de487fa274d0b2ee42795d0be4e994b7acc404c6b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:508",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:509",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:510",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:511"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000508.lean\",\"dc85113680eae61558d976387b62baab460c559defebe85bc70c40e5a7f91385\",0,\"algebra_482507\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000509.lean\",\"33c52fa94c9a57f1d40226b4903ffcd3a9a9d5f7b2d746e23a6fd1b2871621c0\",0,\"prove_diff_eq_3\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000510.lean\",\"22195ac343c3fa99f423b805a92adf79eb96c3f64a93ba7c5e77bacfa741a895\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000511.lean\",\"f1d2f2a6f383111958bbdd016bbcb498035ae0bca522b719ed2a5424525a8e6e\",0,\"inequalities\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000512-n000004.json b/manifests/batches/oproofs/s00002-r00000512-n000004.json
index c3ea7ef582e52826e4aef34391a42dea100c845e..6e38b573f2f4e91fbddc68cd42cb7eb8e051888e 100644
--- a/manifests/batches/oproofs/s00002-r00000512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000512-n000004",
   "batch_fingerprint": "fbd5db3086b200be84134e3029b9afde9b094f87435894382e37b1e4a982de59",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000512-n000004-0000-448151ff64cf68c6.parquet",
-      "sha256": "448151ff64cf68c61bbc87f62bf180cbcff07fbe517177f3df164f34d0091f0a",
-      "bytes": 982648,
-      "rows": 14,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000512-n000004-0001-40d7b71ccf403c43.parquet",
-      "sha256": "40d7b71ccf403c436f55bddcf7effff3fb070e31a471157c50b368aed443b7e7",
-      "bytes": 540254,
-      "rows": 3,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000513.lean\",\"929ce5836ab485d255119cbf3de144430e2f1e56e4a8654c5d8ba10baa1e8819\",0,\"algebra_436547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000514.lean\",\"1b475634ec2732267c5da2ccef01e305c978b42d28f192e5b07c2844df8ec897\",0,\"Prime_eq_prime_prime\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000515.lean\",\"86270f9dd1bc93387dddafe29a18d6ca5a20d8f5b33f0b3208c0ff1c23831848\",0,\"max_value_of_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 982648,
+      "path": "data/train/p52/oproofs-s00002-r00000512-n000004-0000-448151ff64cf68c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "448151ff64cf68c61bbc87f62bf180cbcff07fbe517177f3df164f34d0091f0a"
+    },
+    {
+      "bytes": 540254,
+      "path": "data/train/p52/oproofs-s00002-r00000512-n000004-0001-40d7b71ccf403c43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "40d7b71ccf403c436f55bddcf7effff3fb070e31a471157c50b368aed443b7e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000516-n000004.json b/manifests/batches/oproofs/s00002-r00000516-n000004.json
index 4322309ec66130adffdf3de60730cf53632de9ba..dcfb1b3a00fdab029d7b9bfd826d2e212bbc6149 100644
--- a/manifests/batches/oproofs/s00002-r00000516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000516-n000004",
   "batch_fingerprint": "6b8835d6c4e329454f668ecae2d330687e148dd0d7014ca50b4eb58d0a830879",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000516-n000004-0000-19fce6a9d7436af6.parquet",
-      "sha256": "19fce6a9d7436af660d3e4c85948adf0e504b900dfcfb7d4faf47dec80bf6baf",
-      "bytes": 310333,
-      "rows": 12,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000517.lean\",\"b265159e180b95350df77948035da192e2be60039473081eef9c9566cf916f34\",0,\"exists_four_coprime_from_five\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000518.lean\",\"2d63ba80675c2a32e8f2fa3b6b5029541274938a117b11221deac35720f19a07\",0,\"tony_change\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000519.lean\",\"d1547f8fee33861b0bd75f8932941147729a3675593f903d2de5cd653faebc8b\",0,\"f_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310333,
+      "path": "data/train/p19/oproofs-s00002-r00000516-n000004-0000-19fce6a9d7436af6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "19fce6a9d7436af660d3e4c85948adf0e504b900dfcfb7d4faf47dec80bf6baf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000520-n000004.json b/manifests/batches/oproofs/s00002-r00000520-n000004.json
index 9e4ed81d8bbbce2d023c18bdfec4e5c10bc3b2a1..a74cee2142d63481da6d1e99059139341ba3f77a 100644
--- a/manifests/batches/oproofs/s00002-r00000520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000520-n000004",
   "batch_fingerprint": "5e99cbb1358e83c2e7e5815bace978258f9fd7eba323e49b7ec78441baf8c166",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000520-n000004-0000-6060ae3ac44c4f97.parquet",
-      "sha256": "6060ae3ac44c4f975546ada8784efe721ce23f1e6f19527d65148fc213d554e5",
-      "bytes": 588259,
-      "rows": 19,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000520-n000004-0000-60a7353c4a836b52.parquet",
-      "sha256": "60a7353c4a836b52bc3838cee0e14855fe569a744cae2bc30bda70980bebc206",
-      "bytes": 421363,
-      "rows": 6,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000521.lean\",\"2448da61b838e23f4fb9e3cc50d27a5b1887a7271aa2f1fb79d79f66d8600209\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000522.lean\",\"b60c509154d64263b92ad2938cfcec146bc3044e1631bd37b316ccb158524342\",0,\"mall_A_saves_more_than_mall_B\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000523.lean\",\"5728df0fddefb540ba95aec6cc89c1ffadedacf9a6a5e03177cdc7db4e4bfd3e\",0,\"f_condition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588259,
+      "path": "data/train/p18/oproofs-s00002-r00000520-n000004-0000-6060ae3ac44c4f97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6060ae3ac44c4f975546ada8784efe721ce23f1e6f19527d65148fc213d554e5"
+    },
+    {
+      "bytes": 421363,
+      "path": "data/internal_test/p18/oproofs-s00002-r00000520-n000004-0000-60a7353c4a836b52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "60a7353c4a836b52bc3838cee0e14855fe569a744cae2bc30bda70980bebc206"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000524-n000004.json b/manifests/batches/oproofs/s00002-r00000524-n000004.json
index 4e8b92a044e5d4ee773eecd56f09d27f3c77d3af..bcf10c3f4be4c1528293ac8014cc51de452f21c9 100644
--- a/manifests/batches/oproofs/s00002-r00000524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000524-n000004",
   "batch_fingerprint": "fdeb8e7106024bb5f6dbbec6e025406b0ef30810daf9d4ca3b2f16e415e49432",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000524-n000004-0000-ea7b13387da1d91d.parquet",
-      "sha256": "ea7b13387da1d91dd2541ac5b7e8a4c3a7e67cbb606f975b3f4ed049a3efd29b",
-      "bytes": 198989,
-      "rows": 16,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000524-n000004-0000-7affd34e939f961c.parquet",
-      "sha256": "7affd34e939f961ce4119115d71bbcc4395d552f57ddeac6d9ec9670e8f90f4e",
-      "bytes": 88341,
-      "rows": 4,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:525",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000525.lean\",\"8c6336e8c73ee1c59e02fe2b406c0b907ad5ffdc2f898931bc25674826200fac\",0,\"lean_workbook_plus_65698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000526.lean\",\"702bc00525d7acf95150088d616fe09ad762038e0b2f948ffff7ab3b9a54ecb6\",0,\"lean_workbook_plus_17665\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000527.lean\",\"f94c8f91b17c85c1598a6a67a8e07407e1f190947deaa8f0af36590a5912362e\",0,\"lean_workbook_plus_76802\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198989,
+      "path": "data/train/p55/oproofs-s00002-r00000524-n000004-0000-ea7b13387da1d91d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ea7b13387da1d91dd2541ac5b7e8a4c3a7e67cbb606f975b3f4ed049a3efd29b"
+    },
+    {
+      "bytes": 88341,
+      "path": "data/internal_test/p55/oproofs-s00002-r00000524-n000004-0000-7affd34e939f961c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7affd34e939f961ce4119115d71bbcc4395d552f57ddeac6d9ec9670e8f90f4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000528-n000004.json b/manifests/batches/oproofs/s00002-r00000528-n000004.json
index 713659be3f0d63621637bbf9b5f2bb47acdeb1ee..88cee83d4a532bd7d7bdfbd84e2e1612b0ac5f8a 100644
--- a/manifests/batches/oproofs/s00002-r00000528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000528-n000004",
   "batch_fingerprint": "573edeea2a4afa0d5e82a9df98ece9315b42564c576bdf15cd25edeaa75a865a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000528-n000004-0000-85400a1e95f9df6f.parquet",
-      "sha256": "85400a1e95f9df6fdb8c66e382ac19724637aa0089edee9c2fb942baf0f15ef8",
-      "bytes": 357069,
-      "rows": 12,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000528-n000004-0000-2eee70a050863d6c.parquet",
-      "sha256": "2eee70a050863d6c197a290448f872704bf486bc4b61e202f3b27a8114a2d9f4",
-      "bytes": 124409,
-      "rows": 11,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000529.lean\",\"d0ec6748155acc18d56bba088e6df6a97dceae4f87434aa444cbac4da406e9b8\",0,\"lean_workbook_plus_41729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000530.lean\",\"fda1cfbbcc4cfc376c0fe8f0a1821867036b5cf10afb6ff0fe11ac73f1210d5f\",0,\"lean_workbook_plus_75715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000531.lean\",\"30aa8a95d2ba00dfe264d01628a4e91606cb256a42f339ae55024dc047d3df94\",0,\"MatrixInvertible\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357069,
+      "path": "data/train/p8e/oproofs-s00002-r00000528-n000004-0000-85400a1e95f9df6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "85400a1e95f9df6fdb8c66e382ac19724637aa0089edee9c2fb942baf0f15ef8"
+    },
+    {
+      "bytes": 124409,
+      "path": "data/internal_test/p8e/oproofs-s00002-r00000528-n000004-0000-2eee70a050863d6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2eee70a050863d6c197a290448f872704bf486bc4b61e202f3b27a8114a2d9f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000532-n000004.json b/manifests/batches/oproofs/s00002-r00000532-n000004.json
index e2a93bdd10e330630044ffff65c26dc799b91b10..2142b6b78d8cc37f99c0a53aa53d092a45866631 100644
--- a/manifests/batches/oproofs/s00002-r00000532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000532-n000004",
   "batch_fingerprint": "3ebba1a067ea16530f3a7c784798d8add6c59ccdd60b7e7209d9ab1763c17d29",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000532-n000004-0000-44b4ae5fb0cbaaed.parquet",
-      "sha256": "44b4ae5fb0cbaaed552ee491bb0a5795ac87e177c38689b05d5bbc2119efecb8",
-      "bytes": 438205,
-      "rows": 19,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000532-n000004-0000-505bee4060e1d183.parquet",
-      "sha256": "505bee4060e1d183bc67db3338c7d6aa2b84ed47b5c791e4048cdff5e881b6ea",
-      "bytes": 71686,
-      "rows": 2,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000533.lean\",\"73245220a919e9633c51a067e4e93dbced4ade88ed70e59eff8fee6a2b8cb9a2\",0,\"sum_of_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000534.lean\",\"b9fa30a0c874fafa2dc17fbfca0de0cf7bc9cc6cd18e90f630c2ab580144a74f\",0,\"gcd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000535.lean\",\"c6a4ac9470e8b4a3cf3bb378a0898afa60f5addf6b2a86c5fae45e89dd697032\",0,\"lean_workbook_plus_2011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438205,
+      "path": "data/train/p03/oproofs-s00002-r00000532-n000004-0000-44b4ae5fb0cbaaed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "44b4ae5fb0cbaaed552ee491bb0a5795ac87e177c38689b05d5bbc2119efecb8"
+    },
+    {
+      "bytes": 71686,
+      "path": "data/internal_test/p03/oproofs-s00002-r00000532-n000004-0000-505bee4060e1d183.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "505bee4060e1d183bc67db3338c7d6aa2b84ed47b5c791e4048cdff5e881b6ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000536-n000004.json b/manifests/batches/oproofs/s00002-r00000536-n000004.json
index 0623573132f20f53052582fb8aae6bd7d70fdf6e..3b14396a58f180f4ee77163819828d88c38efc72 100644
--- a/manifests/batches/oproofs/s00002-r00000536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000536-n000004",
   "batch_fingerprint": "ed94cde9b7b85a668b81f837de15b7a297c7cb15975fa547b5725ff99e61fdc1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000536-n000004-0000-9651f7e526898971.parquet",
-      "sha256": "9651f7e5268989714a3b7517c099ac3ec3e8decd1d98a8573730e21247268a1c",
-      "bytes": 753483,
-      "rows": 20,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000536-n000004-0001-c0a0e58dcc57783b.parquet",
-      "sha256": "c0a0e58dcc57783b48a37458dbf7fe3ed9760389add032f228b41df9359e794b",
-      "bytes": 464514,
-      "rows": 11,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000537.lean\",\"2795f7e08bcd8cad0668b917c8dd4741d8f0dd01777b700f6d2c4e9e681dfbb0\",0,\"max_of_three\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000538.lean\",\"7bb445651f975ed09172835b984d507724f304ae44fb2edad3399c7612ad9b93\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000539.lean\",\"dbf47b635b203994a849cc5dede7db3a0437fa057e5c9ec268ef1eed8e981ef7\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753483,
+      "path": "data/train/p73/oproofs-s00002-r00000536-n000004-0000-9651f7e526898971.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9651f7e5268989714a3b7517c099ac3ec3e8decd1d98a8573730e21247268a1c"
+    },
+    {
+      "bytes": 464514,
+      "path": "data/train/p73/oproofs-s00002-r00000536-n000004-0001-c0a0e58dcc57783b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c0a0e58dcc57783b48a37458dbf7fe3ed9760389add032f228b41df9359e794b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000540-n000004.json b/manifests/batches/oproofs/s00002-r00000540-n000004.json
index c2a08db5ebcf906eaa59dfb252ca89fbdae5d1d1..87cc02e633dab040a7fbe14676f0b5bdb6775c16 100644
--- a/manifests/batches/oproofs/s00002-r00000540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000540-n000004",
   "batch_fingerprint": "8da4c983916175efd83517ffcf6f426e596416fc259f1d12ce85e7d63f6f7999",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:540",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:541",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:542",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:543"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000540.lean\",\"9bc468bb3c1c4c1b6edce5b713cadcd0f02ade99742eb218dfc8d1cbdf62b36b\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000541.lean\",\"523d114fe62f3e86cd2ab5da0a61061f1058b79a6e6ce62430980f9066392c62\",0,\"algebra_456784\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000542.lean\",\"c07caf3970ca73a81a0708c34170a4a013cdbbe5360f1ea621e7cb7a7e59c688\",0,\"triangle_ine\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000543.lean\",\"6cfdd7f908f93c340efd96f0d614f57183ec4d8d32ac6cf5c057bcc4049c8ba9\",0,\"h\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000540-n000004-0000-292a717a1336295d.parquet",
-      "sha256": "292a717a1336295dbaf9ec500903344afd960c3b904f27fee856d4e8ac24029c",
       "bytes": 684197,
+      "path": "data/train/p5b/oproofs-s00002-r00000540-n000004-0000-292a717a1336295d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "292a717a1336295dbaf9ec500903344afd960c3b904f27fee856d4e8ac24029c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000540-n000004-0001-870827929cd66975.parquet",
-      "sha256": "870827929cd66975c56be83ba091eac07ee20d4392bb278590b4a7208306c101",
       "bytes": 1328842,
+      "path": "data/train/p5b/oproofs-s00002-r00000540-n000004-0001-870827929cd66975.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "870827929cd66975c56be83ba091eac07ee20d4392bb278590b4a7208306c101"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000540-n000004-0002-14f8961758db6b6f.parquet",
-      "sha256": "14f8961758db6b6f112de7e93ce1e2fc9dfeec9d4d6c0f960bfd01ae3bd54901",
       "bytes": 162701,
+      "path": "data/train/p5b/oproofs-s00002-r00000540-n000004-0002-14f8961758db6b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "14f8961758db6b6f112de7e93ce1e2fc9dfeec9d4d6c0f960bfd01ae3bd54901"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:540",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:541",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:542",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:543"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000540.lean\",\"9bc468bb3c1c4c1b6edce5b713cadcd0f02ade99742eb218dfc8d1cbdf62b36b\",0,\"Tendsto\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000541.lean\",\"523d114fe62f3e86cd2ab5da0a61061f1058b79a6e6ce62430980f9066392c62\",0,\"algebra_456784\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000542.lean\",\"c07caf3970ca73a81a0708c34170a4a013cdbbe5360f1ea621e7cb7a7e59c688\",0,\"triangle_ine\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000543.lean\",\"6cfdd7f908f93c340efd96f0d614f57183ec4d8d32ac6cf5c057bcc4049c8ba9\",0,\"h\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000544-n000004.json b/manifests/batches/oproofs/s00002-r00000544-n000004.json
index f2c7dc63215add79f9ebaf775eb425f832c61c26..db16f6fd837060987dca7e44df555fff86248798 100644
--- a/manifests/batches/oproofs/s00002-r00000544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000544-n000004",
   "batch_fingerprint": "7739ccc61d5249f129742460a31827d861289431cc59616a8a768164c7b279bf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000544-n000004-0000-82729a1b6d461d2c.parquet",
-      "sha256": "82729a1b6d461d2c98586ab4f5619b0461d6b24f4c296eecbdf583e88d56e1c7",
-      "bytes": 441828,
-      "rows": 11,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000545.lean\",\"eb9264928b12c67bdf5822913fcd35de48dae82820ce9bb7ed411daad7a7331c\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000546.lean\",\"d2738bf4aa6afd2e5257ab5bd6b1214b3a0c8700ff52420c2e780e4add50d38b\",0,\"pchoose\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000547.lean\",\"ba1242d315959db0280c0dc6959752c188aaf267af0316e3641cc0734699ed3a\",0,\"gcd3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441828,
+      "path": "data/train/p55/oproofs-s00002-r00000544-n000004-0000-82729a1b6d461d2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "82729a1b6d461d2c98586ab4f5619b0461d6b24f4c296eecbdf583e88d56e1c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000548-n000004.json b/manifests/batches/oproofs/s00002-r00000548-n000004.json
index a889a339c32a88ed53db29a1a8145752de68968a..f47db34018557bf95fe74a0b73b746dde51dc389 100644
--- a/manifests/batches/oproofs/s00002-r00000548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000548-n000004",
   "batch_fingerprint": "56473b2742dd1927b4cd20f2c6bb6c0caa88341b0f53d67599965c4934da7465",
   "evidence": {
@@ -40,37 +39,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:548",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:549",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:550"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000548.lean\",\"366227744d536c4dd057de072e67c6649719ca807e79006339036e4d14452bf7\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000549.lean\",\"fd7f6a5d2f767e0906c2d3b8fb39755a656bfcdad7de6be27195d355252026e6\",0,\"triangle_incr\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000550.lean\",\"98e8a4af5196450b89d804055a885da0ba9964b6e0f36dc879bba73c871dedd1\",0,\"triangle_ineq\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000548-n000004-0000-6fdcf201c16da2ac.parquet",
-      "sha256": "6fdcf201c16da2ac3a528be7567e9a114c91b3f8f924657029e271f3591d9dd7",
       "bytes": 1393365,
+      "path": "data/train/p8b/oproofs-s00002-r00000548-n000004-0000-6fdcf201c16da2ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "6fdcf201c16da2ac3a528be7567e9a114c91b3f8f924657029e271f3591d9dd7"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000548-n000004-0001-dea9b0c4a2442263.parquet",
-      "sha256": "dea9b0c4a24422632fba5eb4d9b604be2cefe484c65105bd12677e8927c95807",
       "bytes": 1764831,
+      "path": "data/train/p8b/oproofs-s00002-r00000548-n000004-0001-dea9b0c4a2442263.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "dea9b0c4a24422632fba5eb4d9b604be2cefe484c65105bd12677e8927c95807"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000548-n000004-0000-7cbe356126a470a0.parquet",
-      "sha256": "7cbe356126a470a0a93eb2ed4387648ec8f4f78e417e8fe5e36022c42f3795e4",
       "bytes": 181388,
+      "path": "data/internal_test/p8b/oproofs-s00002-r00000548-n000004-0000-7cbe356126a470a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "7cbe356126a470a0a93eb2ed4387648ec8f4f78e417e8fe5e36022c42f3795e4"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:548",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:549",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:550"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000548.lean\",\"366227744d536c4dd057de072e67c6649719ca807e79006339036e4d14452bf7\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000549.lean\",\"fd7f6a5d2f767e0906c2d3b8fb39755a656bfcdad7de6be27195d355252026e6\",0,\"triangle_incr\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000550.lean\",\"98e8a4af5196450b89d804055a885da0ba9964b6e0f36dc879bba73c871dedd1\",0,\"triangle_ineq\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000552-n000004.json b/manifests/batches/oproofs/s00002-r00000552-n000004.json
index ebb7cada9767f50fbea85fc5b15934031d8e4198..ecb85618ff21d7793fb72dc2ac2611ccc33357b3 100644
--- a/manifests/batches/oproofs/s00002-r00000552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000552-n000004",
   "batch_fingerprint": "836d2b1f1902f24379ba7d2d4bbc852bacf7a46b75fef1deceb0ea1a2476a6fe",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:552",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:553",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:554",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:555"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000552.lean\",\"daa1b24db790e415c4301c9669d61445d420bbcfb2a4a1e98a31222a1594c529\",0,\"Nat.choose.mod\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000553.lean\",\"4b2fd4a337e24226c1ae672b8e72da0fef88ac78f29d76bd8c7046044e3e7d79\",0,\"a_b_c\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000554.lean\",\"c8e2d9ae1712ee5f7f5778bcaaffd4209fb7c7c54327b671ccc908994c837e2d\",0,\"RealSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000555.lean\",\"a3a3e0e28f6173080f64b52e45b69a93e222768937166c3f770f10f1de7116df\",0,\"triangle_ineq\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000552-n000004-0000-c578e936a068acca.parquet",
-      "sha256": "c578e936a068accaccddebbf7cb98f0a5733a4aabf015e052770b419566b6797",
       "bytes": 1104260,
+      "path": "data/train/p97/oproofs-s00002-r00000552-n000004-0000-c578e936a068acca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "c578e936a068accaccddebbf7cb98f0a5733a4aabf015e052770b419566b6797"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000552-n000004-0001-6d749bca24afc425.parquet",
-      "sha256": "6d749bca24afc4254b4911393a458466a9502c192609ed639711302e0ca9c7d8",
       "bytes": 720926,
+      "path": "data/train/p97/oproofs-s00002-r00000552-n000004-0001-6d749bca24afc425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "6d749bca24afc4254b4911393a458466a9502c192609ed639711302e0ca9c7d8"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000552-n000004-0002-da992dad366a50a0.parquet",
-      "sha256": "da992dad366a50a0327612523b76bfa99e9c626f22f2981e01d0caf130c16f71",
       "bytes": 297927,
+      "path": "data/train/p97/oproofs-s00002-r00000552-n000004-0002-da992dad366a50a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "da992dad366a50a0327612523b76bfa99e9c626f22f2981e01d0caf130c16f71"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:552",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:553",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:554",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:555"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000552.lean\",\"daa1b24db790e415c4301c9669d61445d420bbcfb2a4a1e98a31222a1594c529\",0,\"Nat.choose.mod\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000553.lean\",\"4b2fd4a337e24226c1ae672b8e72da0fef88ac78f29d76bd8c7046044e3e7d79\",0,\"a_b_c\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000554.lean\",\"c8e2d9ae1712ee5f7f5778bcaaffd4209fb7c7c54327b671ccc908994c837e2d\",0,\"RealSet\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000555.lean\",\"a3a3e0e28f6173080f64b52e45b69a93e222768937166c3f770f10f1de7116df\",0,\"triangle_ineq\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000556-n000004.json b/manifests/batches/oproofs/s00002-r00000556-n000004.json
index 3cdb556de72071abad3385337d1e74163e804905..17eec1cb28a80b5893757fa28e4d6b1e30c22092 100644
--- a/manifests/batches/oproofs/s00002-r00000556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000556-n000004",
   "batch_fingerprint": "ba3116296e1063419b61a3cfc25827afa6d358e915f06b21c7d3e8442247c880",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000556-n000004-0000-6d7baf417e4f916d.parquet",
-      "sha256": "6d7baf417e4f916d40c2aeeaac15d64d9c5a8c405207b009d4fae61a464959bb",
-      "bytes": 109011,
-      "rows": 10,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000556-n000004-0000-fa5b1705573508f6.parquet",
-      "sha256": "fa5b1705573508f61f24f0c3df5e03280ac13ba501e510d10b72801e153872b0",
-      "bytes": 384410,
-      "rows": 6,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000557.lean\",\"09aa0ed861dda2b4f015aac723bbbd8401259b3bc681f78748d55364d1c9e71d\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000558.lean\",\"fa607dfd92a11d6da93d60d3560e63d369a5a8c714b546dd27e45f9e76c811ff\",0,\"cos_of_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000559.lean\",\"c90ce893f2ad1e44a981125de007b32237b92bc404120863eb8831d350ef18ab\",0,\"isPrimeIdeal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109011,
+      "path": "data/train/p82/oproofs-s00002-r00000556-n000004-0000-6d7baf417e4f916d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6d7baf417e4f916d40c2aeeaac15d64d9c5a8c405207b009d4fae61a464959bb"
+    },
+    {
+      "bytes": 384410,
+      "path": "data/internal_test/p82/oproofs-s00002-r00000556-n000004-0000-fa5b1705573508f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fa5b1705573508f61f24f0c3df5e03280ac13ba501e510d10b72801e153872b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000560-n000004.json b/manifests/batches/oproofs/s00002-r00000560-n000004.json
index 33adf009fd197c76399e132d229e9987b00590ef..e12d52d9b7f9e4302004bcb9471a30adb58c2389 100644
--- a/manifests/batches/oproofs/s00002-r00000560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000560-n000004",
   "batch_fingerprint": "ab23a6e957ba2bde688c0d0050f6b753cb66c14bff7ecdf387a80018ed864e2d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:560",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:561",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:562",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:563"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000560.lean\",\"9012510c8699faa8db8dccdb78447bf30ba8d8a6eb03102fcf3fa0453ecb64f1\",0,\"MetricConnectedSpace\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000561.lean\",\"f2668885b0decac2e8cd793c200d62f5799000b47a01c4f6cbb8cd8672085037\",0,\"algebra_486519\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000562.lean\",\"ed986f7719df24c1bfd9762111344a5213e6e162c0b81ed20a8ca015bbe97cc2\",0,\"algebraic_457891\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000563.lean\",\"80a8ca05f7ebf13a33675e710ca21eb5be0c369ca37b9532f5422472e475f9c0\",0,\"algebra.BigOperators.Ring\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000560-n000004-0000-46bbbc61caac3f64.parquet",
-      "sha256": "46bbbc61caac3f6487c845997722029fa9d13f69d63dbc562e448cd4e02dd361",
       "bytes": 1554797,
+      "path": "data/train/p0b/oproofs-s00002-r00000560-n000004-0000-46bbbc61caac3f64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "46bbbc61caac3f6487c845997722029fa9d13f69d63dbc562e448cd4e02dd361"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000560-n000004-0001-fe4403dab9a4a89b.parquet",
-      "sha256": "fe4403dab9a4a89b6ee59e7a3301df9a2aa0414f906b5201f70162598f6de379",
       "bytes": 268165,
+      "path": "data/train/p0b/oproofs-s00002-r00000560-n000004-0001-fe4403dab9a4a89b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "fe4403dab9a4a89b6ee59e7a3301df9a2aa0414f906b5201f70162598f6de379"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000560-n000004-0000-59f0eba0cca6862a.parquet",
-      "sha256": "59f0eba0cca6862a150951bd2b33bd7ca9ddb0795a15df0652087facb3ecc429",
       "bytes": 72144,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00000560-n000004-0000-59f0eba0cca6862a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "59f0eba0cca6862a150951bd2b33bd7ca9ddb0795a15df0652087facb3ecc429"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:560",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:561",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:562",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:563"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000560.lean\",\"9012510c8699faa8db8dccdb78447bf30ba8d8a6eb03102fcf3fa0453ecb64f1\",0,\"MetricConnectedSpace\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000561.lean\",\"f2668885b0decac2e8cd793c200d62f5799000b47a01c4f6cbb8cd8672085037\",0,\"algebra_486519\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000562.lean\",\"ed986f7719df24c1bfd9762111344a5213e6e162c0b81ed20a8ca015bbe97cc2\",0,\"algebraic_457891\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000563.lean\",\"80a8ca05f7ebf13a33675e710ca21eb5be0c369ca37b9532f5422472e475f9c0\",0,\"algebra.BigOperators.Ring\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000564-n000004.json b/manifests/batches/oproofs/s00002-r00000564-n000004.json
index fadee7449fb9c71a7a487b504e0e98f2d945a01a..69e99e8bb2d575b83efdca943eb6a01d30b922b9 100644
--- a/manifests/batches/oproofs/s00002-r00000564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000564-n000004",
   "batch_fingerprint": "3dfdcf62c3c3f095db2d9eda8ad8e84e61de508de0cf6b1c8fd9fa041d80f388",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:564",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:565",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:566",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:567"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000564.lean\",\"28f9122e9780a8adc1a424467d33e89d66dfe54db04820e2b70270dd0b013702\",0,\"algebra_482507\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000565.lean\",\"65d5f1a22231e3ed927fe270c741b1965d266e3a19518df15445e1e5cd134ad0\",0,\"prove_diff_eq_3\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000566.lean\",\"a5c4e40d4851514ddac8803ba546a45fdb41e6ea74c0877a7d158f57db79e171\",0,\"Nat.choose_2\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000567.lean\",\"de43ea4cc2bdc0bca2c5ccc50ddb1856529b21cc8af76f110d59cd4e9d230e3a\",0,\"q\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000564-n000004-0000-88af92d37b1114b1.parquet",
-      "sha256": "88af92d37b1114b17755e46c8216a9a3cabf3e331b46d1ba99a1d8bbed51c200",
       "bytes": 595500,
+      "path": "data/train/p36/oproofs-s00002-r00000564-n000004-0000-88af92d37b1114b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "88af92d37b1114b17755e46c8216a9a3cabf3e331b46d1ba99a1d8bbed51c200"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000564-n000004-0000-f8aaa0e355a83533.parquet",
-      "sha256": "f8aaa0e355a83533aa32248a09c5511eb7a192d4fe9ae50bf920a06003b62f90",
       "bytes": 112813,
+      "path": "data/dev/p36/oproofs-s00002-r00000564-n000004-0000-f8aaa0e355a83533.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "f8aaa0e355a83533aa32248a09c5511eb7a192d4fe9ae50bf920a06003b62f90"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000564-n000004-0000-3be3dedf932f1934.parquet",
-      "sha256": "3be3dedf932f193459f0c841405006b9d420a5333c85e4495bbbf889ef3b8db9",
       "bytes": 52200,
+      "path": "data/internal_test/p36/oproofs-s00002-r00000564-n000004-0000-3be3dedf932f1934.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
+      "sha256": "3be3dedf932f193459f0c841405006b9d420a5333c85e4495bbbf889ef3b8db9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:564",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:565",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:566",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:567"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000564.lean\",\"28f9122e9780a8adc1a424467d33e89d66dfe54db04820e2b70270dd0b013702\",0,\"algebra_482507\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000565.lean\",\"65d5f1a22231e3ed927fe270c741b1965d266e3a19518df15445e1e5cd134ad0\",0,\"prove_diff_eq_3\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000566.lean\",\"a5c4e40d4851514ddac8803ba546a45fdb41e6ea74c0877a7d158f57db79e171\",0,\"Nat.choose_2\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000567.lean\",\"de43ea4cc2bdc0bca2c5ccc50ddb1856529b21cc8af76f110d59cd4e9d230e3a\",0,\"q\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000568-n000004.json b/manifests/batches/oproofs/s00002-r00000568-n000004.json
index 5f570926edd1802b5faa2280bcfff16c75315c87..a77958cd7b3bf579924bddc06ccbeaba91109256 100644
--- a/manifests/batches/oproofs/s00002-r00000568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000568-n000004",
   "batch_fingerprint": "690bcbeed579d0d406d61505d89694f64aa6d9d5719103011bdf60e4fd2e754b",
   "evidence": {
@@ -19,53 +18,54 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:568",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:569",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:570",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:571"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000568.lean\",\"f7c08b180ab54593ef4f65880b524103f9c641b40776ce4f0dbc02c934ca1942\",0,\"algebra_481097\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000569.lean\",\"976550b45753042bca59ef29353c2af03dceb2879ea926f18914829d69f2e578\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000570.lean\",\"bdde4a6f7d7de44c2b79af675a438e3e66c8915b9487d490ec866808212b5747\",0,\"tan_to_sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000571.lean\",\"043a94d09b3ee8ad9372338f48644b2eb10f3d09d0e2066a327b52ef2bebaef9\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000568-n000004-0000-81aefe55b93f4af2.parquet",
-      "sha256": "81aefe55b93f4af29d58b9f043a0293cbc8b33853ef50ef5862ff4db3a9e26b4",
       "bytes": 741044,
+      "path": "data/train/p57/oproofs-s00002-r00000568-n000004-0000-81aefe55b93f4af2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "81aefe55b93f4af29d58b9f043a0293cbc8b33853ef50ef5862ff4db3a9e26b4"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000568-n000004-0001-322c90a99b7dba5c.parquet",
-      "sha256": "322c90a99b7dba5c0e2f0fd5379b2bc175d64fa91177eb2f56a30f3e3210588c",
       "bytes": 1397313,
+      "path": "data/train/p57/oproofs-s00002-r00000568-n000004-0001-322c90a99b7dba5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "322c90a99b7dba5c0e2f0fd5379b2bc175d64fa91177eb2f56a30f3e3210588c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000568-n000004-0002-3a11ac3bfe16e062.parquet",
-      "sha256": "3a11ac3bfe16e062f159cb825a41e584415611735847efa5798ae3401b5d6a05",
       "bytes": 735454,
+      "path": "data/train/p57/oproofs-s00002-r00000568-n000004-0002-3a11ac3bfe16e062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "3a11ac3bfe16e062f159cb825a41e584415611735847efa5798ae3401b5d6a05"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000568-n000004-0003-206a5c7e2558e61b.parquet",
-      "sha256": "206a5c7e2558e61b20115f6239aafb2483383715b259510fcf22394a413d8294",
       "bytes": 384707,
+      "path": "data/train/p57/oproofs-s00002-r00000568-n000004-0003-206a5c7e2558e61b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "206a5c7e2558e61b20115f6239aafb2483383715b259510fcf22394a413d8294"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000568-n000004-0000-4411c325f79d14d5.parquet",
-      "sha256": "4411c325f79d14d5028de428bb63a7214f8e939aaf9a7a0c7c4b1607447b4019",
       "bytes": 179309,
+      "path": "data/internal_test/p57/oproofs-s00002-r00000568-n000004-0000-4411c325f79d14d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
+      "sha256": "4411c325f79d14d5028de428bb63a7214f8e939aaf9a7a0c7c4b1607447b4019"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:568",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:569",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:570",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:571"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000568.lean\",\"f7c08b180ab54593ef4f65880b524103f9c641b40776ce4f0dbc02c934ca1942\",0,\"algebra_481097\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000569.lean\",\"976550b45753042bca59ef29353c2af03dceb2879ea926f18914829d69f2e578\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000570.lean\",\"bdde4a6f7d7de44c2b79af675a438e3e66c8915b9487d490ec866808212b5747\",0,\"tan_to_sin\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000571.lean\",\"043a94d09b3ee8ad9372338f48644b2eb10f3d09d0e2066a327b52ef2bebaef9\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000572-n000004.json b/manifests/batches/oproofs/s00002-r00000572-n000004.json
index ebe37beae0ffd2ce71819deaed5e1ec8813c8739..32759de664c09280882d25c9e99d5498e387834f 100644
--- a/manifests/batches/oproofs/s00002-r00000572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000572-n000004",
   "batch_fingerprint": "9182966a20ff8eea0bf9f7960802dab85acb33a845d71fbdadab0fa290738802",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000572-n000004-0000-ee6653502a7525f0.parquet",
-      "sha256": "ee6653502a7525f0f76ea4564948519fddc4001c427d422a72daf596cae23523",
-      "bytes": 648212,
-      "rows": 18,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000573.lean\",\"415cc5bc1868d3fd3f8f2bf1d810d36213d81980630233611ab7b09eab729858\",0,\"algebra_436547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000574.lean\",\"6aedaa976a430b80c26a91f5755ef02922df9b9908b18488f12f709c6c048bf9\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000575.lean\",\"a914bff2c388ad174a15f5eff1daf88af941b79add8ebfe3ed7ee1225c8c17c6\",0,\"mojave_population\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 648212,
+      "path": "data/train/pc6/oproofs-s00002-r00000572-n000004-0000-ee6653502a7525f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ee6653502a7525f0f76ea4564948519fddc4001c427d422a72daf596cae23523"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000576-n000004.json b/manifests/batches/oproofs/s00002-r00000576-n000004.json
index de7e5dc12cf0dee7abad4e22874adfd5205a80f1..dd2e4c11db2cc688c77ac4e186a4239cb99f448b 100644
--- a/manifests/batches/oproofs/s00002-r00000576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000576-n000004",
   "batch_fingerprint": "31627b6c3fdb65b78a31cdba475bdcb71a6f45dbdbbdcad2bdb0fe45e6adca41",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000576-n000004-0000-6f7ed932c95c31b5.parquet",
-      "sha256": "6f7ed932c95c31b565a389ba4dae0e12518ba30fc26a22e4c2ebc04a80c44a53",
-      "bytes": 778824,
-      "rows": 29,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000577.lean\",\"9148fd2761ae65a427b26c2642ec9791b5e423dbe63ad508a86fccf82392f775\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000578.lean\",\"5a564dba01febc1ef8f62a421d81bafb3a4dcad06fbcd7722b8eeb56d088efb3\",0,\"tony_change\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000579.lean\",\"26b094e21c67edde35c995911133f6a98c81db64f8528aed0dcdac25a2f86742\",0,\"max_students_in_group\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 778824,
+      "path": "data/train/p6f/oproofs-s00002-r00000576-n000004-0000-6f7ed932c95c31b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6f7ed932c95c31b565a389ba4dae0e12518ba30fc26a22e4c2ebc04a80c44a53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000580-n000004.json b/manifests/batches/oproofs/s00002-r00000580-n000004.json
index fa1939d3c19edeebe27ef60a82a1b52325ffc5d4..b3d3203be4244fe3ca71feac710982544c44f1f1 100644
--- a/manifests/batches/oproofs/s00002-r00000580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000580-n000004",
   "batch_fingerprint": "440f28c34213ed8a0219f3f9638dfd59d4b28e26553b77370bc0675d9151a34e",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000580-n000004-0000-c8b07076c75c6246.parquet",
-      "sha256": "c8b07076c75c6246a8fabdd25a641675eb8536e74c4da89dc802051bc0395da7",
-      "bytes": 179442,
-      "rows": 9,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000580-n000004-0000-a282c77d900603e1.parquet",
-      "sha256": "a282c77d900603e10505ed3f77e40430e33b4ea3498fabcf9ce5962bcdb1f691",
-      "bytes": 197031,
-      "rows": 8,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:581",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:582",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000581.lean\",\"a6c3c2e1dbeb22766cfbe6b29f83faefc59af0c8cef7fb26dc79b3c2b327df99\",0,\"lean_workbook_plus_65698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000582.lean\",\"7751a7ad460c38b0683b268964e88df68faed9b52a1c9265c6ff6695125d34fe\",0,\"Polynomial.eval_ne\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000583.lean\",\"598c0f82cdea81624d986f500847ca49d5c0735eaed548ec8d24c9218a5a1da5\",0,\"lean_workbook_plus_17665\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179442,
+      "path": "data/train/pbb/oproofs-s00002-r00000580-n000004-0000-c8b07076c75c6246.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c8b07076c75c6246a8fabdd25a641675eb8536e74c4da89dc802051bc0395da7"
+    },
+    {
+      "bytes": 197031,
+      "path": "data/dev/pbb/oproofs-s00002-r00000580-n000004-0000-a282c77d900603e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a282c77d900603e10505ed3f77e40430e33b4ea3498fabcf9ce5962bcdb1f691"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000584-n000004.json b/manifests/batches/oproofs/s00002-r00000584-n000004.json
index 189d4f06a8c1e5ec9543cfb04236fa1f629736f1..cb2fabbdcfc035f9673259237c261c6c9829226a 100644
--- a/manifests/batches/oproofs/s00002-r00000584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000584-n000004",
   "batch_fingerprint": "a5e1108f6ec463331c30a5814ed46bb93580f2f9b86b24fe6d529554fe0ba524",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000584-n000004-0000-8fd222f735da9a20.parquet",
-      "sha256": "8fd222f735da9a207b875516e6d1f06efeeab23ce5599dfc35a035d809a66bc2",
-      "bytes": 275729,
-      "rows": 22,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000584-n000004-0000-28dc394587c1c17b.parquet",
-      "sha256": "28dc394587c1c17b91aa3ffb5115ff4948c76255c9f0e44eaa66898486709fb2",
-      "bytes": 94511,
-      "rows": 4,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:585",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000585.lean\",\"f5be3d209acf1542f66e6c01e2d862eeb09c2aa72b7fca0d4d15c353baeb2ba6\",0,\"sqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000586.lean\",\"4b450db99a3d221f239665e2e72bf3c19296bc5822aa45826222f431ec3f99a0\",0,\"convex_set\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000587.lean\",\"1808bc80ef76a95957c1243486352b92e57cd75d5863bf7ad53a54a5270194a0\",0,\"h\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275729,
+      "path": "data/train/pde/oproofs-s00002-r00000584-n000004-0000-8fd222f735da9a20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "8fd222f735da9a207b875516e6d1f06efeeab23ce5599dfc35a035d809a66bc2"
+    },
+    {
+      "bytes": 94511,
+      "path": "data/internal_test/pde/oproofs-s00002-r00000584-n000004-0000-28dc394587c1c17b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "28dc394587c1c17b91aa3ffb5115ff4948c76255c9f0e44eaa66898486709fb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000588-n000004.json b/manifests/batches/oproofs/s00002-r00000588-n000004.json
index af0070e1562cc18afea8ba6f5bd8ffe7e819f4d6..528ea174c7cd116ac5f8165fe178e90c77e5b329 100644
--- a/manifests/batches/oproofs/s00002-r00000588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000588-n000004",
   "batch_fingerprint": "68859f4b9d6925cf683cfb014908cd282cf219ae7ee0f25d320319daba00d7cf",
   "evidence": {
@@ -27,15 +26,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000000/oproofs-s00002-r00000588-n000004-0000-8e3016fcae6826cc.parquet",
-      "sha256": "8e3016fcae6826cc44a240e20d01ce7a7d0eea251836530619d32512c0d1353f",
-      "bytes": 204489,
-      "rows": 9,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:589",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:590",
@@ -45,5 +36,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000589.lean\",\"e5cfa738fdc41b5752ca2d1a2ea2edcaa5d95f3a64f3355762957d6e2ca70b64\",0,\"exists_436879\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000590.lean\",\"9b55e3f3d6235d78811a93dd4be350302e55c26b0e677b944d0a3c2a101cc33d\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000591.lean\",\"3a44016a5994eb69a241642b753d3bce923c3eb6985380feeea29c5d858ee179\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204489,
+      "path": "data/train/pe1/oproofs-s00002-r00000588-n000004-0000-8e3016fcae6826cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8e3016fcae6826cc44a240e20d01ce7a7d0eea251836530619d32512c0d1353f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000592-n000004.json b/manifests/batches/oproofs/s00002-r00000592-n000004.json
index 5e279d952b5448a9054a7cb990c53bf233472d3c..785693ad8b612b85964c303af945d047b2c42766 100644
--- a/manifests/batches/oproofs/s00002-r00000592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000592-n000004",
   "batch_fingerprint": "ae9b2b6169e82d4b1afa890008c02ebd680472369371efd812977b1529ab8760",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000592-n000004-0000-13819c2e71d2d301.parquet",
-      "sha256": "13819c2e71d2d3014e16e80df7bc39203e32b15e5923d270d86a34c1263b10b4",
-      "bytes": 985545,
-      "rows": 23,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000593.lean\",\"ff34328edb34a6a8ed15e16b28edb817a24b9a9560e303da012beab2fe780861\",0,\"for_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000594.lean\",\"c83ba46e58c1cfc09c4a201b0667727547fe1728dc52121e41c4e31513ecc0f6\",0,\"pchoose\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000595.lean\",\"b85dc537555d7e4d99cfaf3e976faa2302f9b6b2cce29435b198e0038f19d3c2\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 985545,
+      "path": "data/train/p2d/oproofs-s00002-r00000592-n000004-0000-13819c2e71d2d301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "13819c2e71d2d3014e16e80df7bc39203e32b15e5923d270d86a34c1263b10b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000596-n000004.json b/manifests/batches/oproofs/s00002-r00000596-n000004.json
index c1ba60e01ffa9899d8d06d3ce77f7d5c9d652210..fa6489a4c91de9a9d146b1adaebaab5279cac12f 100644
--- a/manifests/batches/oproofs/s00002-r00000596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000596-n000004",
   "batch_fingerprint": "fbb4d236c9e619f957ae91deaa30bf9434bdd4b41b89cf450eef11f6ce085c01",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000596-n000004-0000-ed3f04ff51a90567.parquet",
-      "sha256": "ed3f04ff51a905671fc7b5d159f822d2bb6e76cb992128b55d52fbf86c88e63f",
-      "bytes": 461157,
-      "rows": 12,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000596-n000004-0000-f1a05edee75da9d5.parquet",
-      "sha256": "f1a05edee75da9d583632248ec5e5b0687cd476d5ded2cb2148878083fe5db47",
-      "bytes": 380867,
-      "rows": 11,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:597",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000597.lean\",\"3e9d29754a128274e726c77ef7f6df346e522516ab4035df28a363915bc4d6ee\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000598.lean\",\"f8c5222dde31a938ea427b1db9b71bb36a38d925951ed55b3e7f0b29e5670886\",0,\"Nat.choose.mod\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000599.lean\",\"512cc57bcf537477f61ce7813f8c3da1669297c21f5dd2a0b6fc2b00ad5835f3\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461157,
+      "path": "data/train/p00/oproofs-s00002-r00000596-n000004-0000-ed3f04ff51a90567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ed3f04ff51a905671fc7b5d159f822d2bb6e76cb992128b55d52fbf86c88e63f"
+    },
+    {
+      "bytes": 380867,
+      "path": "data/internal_test/p00/oproofs-s00002-r00000596-n000004-0000-f1a05edee75da9d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f1a05edee75da9d583632248ec5e5b0687cd476d5ded2cb2148878083fe5db47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000600-n000004.json b/manifests/batches/oproofs/s00002-r00000600-n000004.json
index 5de9790d8e9fc4c971f10b7dd00090ec5d068080..c3d81eff57e47c8681d2d9770cd69fb4264b0b2f 100644
--- a/manifests/batches/oproofs/s00002-r00000600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000600-n000004",
   "batch_fingerprint": "81d4c9cfbff8504432990a3675733ddfe95ab36c34585dc1a33ed4a4eb993aff",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000600-n000004-0000-7b95a845c275c0a8.parquet",
-      "sha256": "7b95a845c275c0a8f2592d3e60348da0e80fa88604cf0066c6f385f909339924",
-      "bytes": 359617,
-      "rows": 21,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000600-n000004-0000-40f75254a4dbd63b.parquet",
-      "sha256": "40f75254a4dbd63ba828c3b8af832d6f7d8a34f73d7787d7a524ce9ab7cd74ef",
-      "bytes": 340465,
-      "rows": 3,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000601.lean\",\"31be50cd351b5c58a1ac98b23c5ce5802c973c1769f0ac36fce3ad58474f4f8d\",0,\"cos_of_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000602.lean\",\"92699a4ffdd5b8a2e9822312a54e24a9bc65b716fbfd3e6ae0baf05d6cd60686\",0,\"problem_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000603.lean\",\"3243095736a34e1c6298559cc9fb7cd71489257058cd30d0e0d4b39fa53c9469\",0,\"Real.sqrt.floor\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359617,
+      "path": "data/train/p06/oproofs-s00002-r00000600-n000004-0000-7b95a845c275c0a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7b95a845c275c0a8f2592d3e60348da0e80fa88604cf0066c6f385f909339924"
+    },
+    {
+      "bytes": 340465,
+      "path": "data/internal_test/p06/oproofs-s00002-r00000600-n000004-0000-40f75254a4dbd63b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "40f75254a4dbd63ba828c3b8af832d6f7d8a34f73d7787d7a524ce9ab7cd74ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000604-n000004.json b/manifests/batches/oproofs/s00002-r00000604-n000004.json
index a475795b752a0960d94319cb26ddb25a82ed10cd..43b28beb6a872e07d736d3cbd99699938008ad8e 100644
--- a/manifests/batches/oproofs/s00002-r00000604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000604-n000004",
   "batch_fingerprint": "79dbc9c4e64433575c64b843e70f7419ff6d2a344e72cdd0fe5934e288c52287",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000604-n000004-0000-dd0d2ce8a61eca0d.parquet",
-      "sha256": "dd0d2ce8a61eca0d72bfb7c6f08d7e82c1287a8f757da7788ad7415e47d3ba38",
-      "bytes": 1142904,
-      "rows": 25,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000604-n000004-0001-cdd543226636b1eb.parquet",
-      "sha256": "cdd543226636b1eba171625a99bdbab3e378b9270e7ba5a15c95b3b11a0dc628",
-      "bytes": 608661,
-      "rows": 13,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000605.lean\",\"3376adaf2e56f13420d64d9439921b2ec87ef105ffe2d449d131e6c5fcb35b20\",0,\"sum_of_diffs\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000606.lean\",\"896cf425cd19e41c1b06e387031dc4bd237fd1f9b8e2a419bd3ff3c0b257e7b6\",0,\"logb_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000607.lean\",\"91c598dbffd0cbb1cbec6895af7646a2af93c4eb056218b9aadf79043809657b\",0,\"algebra_486519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1142904,
+      "path": "data/train/pf1/oproofs-s00002-r00000604-n000004-0000-dd0d2ce8a61eca0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "dd0d2ce8a61eca0d72bfb7c6f08d7e82c1287a8f757da7788ad7415e47d3ba38"
+    },
+    {
+      "bytes": 608661,
+      "path": "data/train/pf1/oproofs-s00002-r00000604-n000004-0001-cdd543226636b1eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cdd543226636b1eba171625a99bdbab3e378b9270e7ba5a15c95b3b11a0dc628"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000608-n000004.json b/manifests/batches/oproofs/s00002-r00000608-n000004.json
index a77a51c1f41c02c6464d7256126abe25211ad387..2f23acdd382dae97001abb4eebd8119a510b8bb5 100644
--- a/manifests/batches/oproofs/s00002-r00000608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000608-n000004",
   "batch_fingerprint": "428998073ce47c25555b62679a2472cc84d2028feff7474d3df5a042b4f3913f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000608-n000004-0000-957e51de14f98e9c.parquet",
-      "sha256": "957e51de14f98e9c7698f3497892c275c10020b5678625c12b491a61c4211229",
-      "bytes": 188820,
-      "rows": 8,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000608-n000004-0000-c20808f64dd6d1dd.parquet",
-      "sha256": "c20808f64dd6d1ddf611f0368270d198c03d37161aa13329109b60b9fe11ed36",
-      "bytes": 155748,
-      "rows": 9,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000609.lean\",\"f3f385351e13a6fa0ba3bb21501561fb9499d1e4e3e5b379b5af2fb9a8ed1e8e\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000610.lean\",\"7ecd66d77a3d544917a0feb1fae9fd6de3ee12cd58fc7ac7f18a17bb52a73aec\",0,\"exp_ge\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000611.lean\",\"0b12acfd924f386e6cebbb9095a59a1fb704c5739affb9533dd955eab81302de\",0,\"algebra.BigOperators.Ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188820,
+      "path": "data/train/p59/oproofs-s00002-r00000608-n000004-0000-957e51de14f98e9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "957e51de14f98e9c7698f3497892c275c10020b5678625c12b491a61c4211229"
+    },
+    {
+      "bytes": 155748,
+      "path": "data/internal_test/p59/oproofs-s00002-r00000608-n000004-0000-c20808f64dd6d1dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c20808f64dd6d1ddf611f0368270d198c03d37161aa13329109b60b9fe11ed36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000612-n000004.json b/manifests/batches/oproofs/s00002-r00000612-n000004.json
index c062b476aabe7d4d44302834adf34e8b2a5c2bba..a2f0c5fcd2aa7c88878fc1170e5f9376c5874bdc 100644
--- a/manifests/batches/oproofs/s00002-r00000612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000612-n000004",
   "batch_fingerprint": "980ab01189f733e3422970dee0938663a643973072a9df044a821ae97fb2953b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000612-n000004-0000-c5c7a4dad315d57c.parquet",
-      "sha256": "c5c7a4dad315d57c7549d1907685e6c9d352b3f424f5e224f745e098b6215bce",
-      "bytes": 406205,
-      "rows": 15,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000612-n000004-0000-823b5e41c880dab6.parquet",
-      "sha256": "823b5e41c880dab612820a31f9c6141503eec52e0653f8e44c843cbb833dce56",
-      "bytes": 224593,
-      "rows": 6,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:613",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000613.lean\",\"236f048cb092d2218390698ad769af1ddf6d1a297b2362a5b86151e3f116bc7a\",0,\"mojave_population\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000614.lean\",\"fbe43eb69c2468ba6becee6b2e078233cf1ddbd77d77c31a852289c15f94e0e4\",0,\"sin_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000615.lean\",\"2f2be7bb95693261858d74fe36f8959356d043b509642788af416a5c9feaaf03\",0,\"exists_four_coprime_from_five\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406205,
+      "path": "data/train/p90/oproofs-s00002-r00000612-n000004-0000-c5c7a4dad315d57c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c5c7a4dad315d57c7549d1907685e6c9d352b3f424f5e224f745e098b6215bce"
+    },
+    {
+      "bytes": 224593,
+      "path": "data/dev/p90/oproofs-s00002-r00000612-n000004-0000-823b5e41c880dab6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "823b5e41c880dab612820a31f9c6141503eec52e0653f8e44c843cbb833dce56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000616-n000004.json b/manifests/batches/oproofs/s00002-r00000616-n000004.json
index 4acd821af7a3f9c430c2346c978c3cae52135786..9742a20b1b8aed5d4a83413c19da9627c2c583c3 100644
--- a/manifests/batches/oproofs/s00002-r00000616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000616-n000004",
   "batch_fingerprint": "84438a49259692c4f23448039c4e2e021cadbcc8bc745da9caa213eeec2a1fa2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000616-n000004-0000-04c03c9d3e1f3107.parquet",
-      "sha256": "04c03c9d3e1f3107e8f592fe983dcdfaf0d8152a047ce03ce8a9b0711449a5b2",
-      "bytes": 326330,
-      "rows": 14,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000616-n000004-0000-215ef52c0d68b11b.parquet",
-      "sha256": "215ef52c0d68b11b001ac03864c3326adf9323e54d372910811180b5f5bcfdef",
-      "bytes": 362619,
-      "rows": 9,
-      "revision": "9fcc8f3f66ca93c2bd1b7aef59b0a3612f7ff60a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000617.lean\",\"609cef62fa45f7d0515243444f2f7018c17bc2cf1e83471d77ea417e2c9ee084\",0,\"Real.cos_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000618.lean\",\"47606317637b87ef7f6ec5255650d741071d4440385da78eb63d4c7189e2ccc8\",0,\"algebra_458495\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000619.lean\",\"f67301c82d7ce9d45822debaae37ab36aea4fd7b28768dae301d9a72f7d8c361\",0,\"f_condition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326330,
+      "path": "data/train/p82/oproofs-s00002-r00000616-n000004-0000-04c03c9d3e1f3107.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "04c03c9d3e1f3107e8f592fe983dcdfaf0d8152a047ce03ce8a9b0711449a5b2"
+    },
+    {
+      "bytes": 362619,
+      "path": "data/internal_test/p82/oproofs-s00002-r00000616-n000004-0000-215ef52c0d68b11b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "215ef52c0d68b11b001ac03864c3326adf9323e54d372910811180b5f5bcfdef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000620-n000004.json b/manifests/batches/oproofs/s00002-r00000620-n000004.json
index ecd050f10a6e8d2bf0ec75b358f7d25fd851c8da..d2ad25ff141058c1d76221df5543c1c9343336f8 100644
--- a/manifests/batches/oproofs/s00002-r00000620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000620-n000004",
   "batch_fingerprint": "e2d6ca9108ec9c887128925fb133923ec5c020352330dd824fbf748b4f57997b",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:620",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:621",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:622",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:623"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000620.lean\",\"3015af3695ed95b3ceafa34e9c05b3c03d90d9586951f3efbd1c733759c180bf\",0,\"algebra_436547\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000621.lean\",\"ae90a5d7ed93049206421846a3d676d7e94b146cabe5b08a330ed1d347d5eb83\",0,\"tan_to_sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000622.lean\",\"5e805837510a5d1462d50d73b8c9ce16a7c228bed98296393221277c1e6b1803\",0,\"Polynomial.roots.toFinset.card\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000623.lean\",\"6d8d2407793370a4f012f381c0b7d30da0884b8760308ac75e58705fd970be1c\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000620-n000004-0000-6e5ff3bcd2a6505b.parquet",
-      "sha256": "6e5ff3bcd2a6505b029eb86c6b2c42a546d9ac0c2d2c5d2e155efac0af707e18",
       "bytes": 558449,
+      "path": "data/train/p2d/oproofs-s00002-r00000620-n000004-0000-6e5ff3bcd2a6505b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "40acc7491a05ff467cb39a5747e1764d7ed7bda6"
+      "sha256": "6e5ff3bcd2a6505b029eb86c6b2c42a546d9ac0c2d2c5d2e155efac0af707e18"
     },
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-      "path": "data/train/oproofs-s00002-r00000620-n000004-0001-73dab6624533817f.parquet",
-      "sha256": "73dab6624533817f00d4323c729bcaa6043b348d26b32189bb785a735e79af5c",
       "bytes": 3377548,
+      "path": "data/train/p2d/oproofs-s00002-r00000620-n000004-0001-73dab6624533817f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "40acc7491a05ff467cb39a5747e1764d7ed7bda6"
+      "sha256": "73dab6624533817f00d4323c729bcaa6043b348d26b32189bb785a735e79af5c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000620-n000004-0002-4aad13322faf5988.parquet",
-      "sha256": "4aad13322faf5988518030595cc8b80fead7c73adc71c1554ddbc768cbf593c0",
       "bytes": 915320,
+      "path": "data/train/p2d/oproofs-s00002-r00000620-n000004-0002-4aad13322faf5988.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "40acc7491a05ff467cb39a5747e1764d7ed7bda6"
+      "sha256": "4aad13322faf5988518030595cc8b80fead7c73adc71c1554ddbc768cbf593c0"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000620-n000004-0003-adf02625aa51b480.parquet",
-      "sha256": "adf02625aa51b4801ec6512718cafa2f8218f23de69824476765f7e79a687a4e",
       "bytes": 1214957,
+      "path": "data/train/p2d/oproofs-s00002-r00000620-n000004-0003-adf02625aa51b480.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "40acc7491a05ff467cb39a5747e1764d7ed7bda6"
+      "sha256": "adf02625aa51b4801ec6512718cafa2f8218f23de69824476765f7e79a687a4e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:620",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:621",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:622",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:623"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000620.lean\",\"3015af3695ed95b3ceafa34e9c05b3c03d90d9586951f3efbd1c733759c180bf\",0,\"algebra_436547\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000621.lean\",\"ae90a5d7ed93049206421846a3d676d7e94b146cabe5b08a330ed1d347d5eb83\",0,\"tan_to_sin\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000622.lean\",\"5e805837510a5d1462d50d73b8c9ce16a7c228bed98296393221277c1e6b1803\",0,\"Polynomial.roots.toFinset.card\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000623.lean\",\"6d8d2407793370a4f012f381c0b7d30da0884b8760308ac75e58705fd970be1c\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000624-n000004.json b/manifests/batches/oproofs/s00002-r00000624-n000004.json
index 0b80bfa5e67107143f00ba12260ca78fb617b261..b508e9aba9998482e0f5f9a81900622f88ceafff 100644
--- a/manifests/batches/oproofs/s00002-r00000624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000624-n000004",
   "batch_fingerprint": "e040c29319f4dd0af46d6c808a27950976a7d833ed6d362be9f8a9162e5834d8",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:624",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:625",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:626",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:627"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000624.lean\",\"ac49ccc89ab7914f279fde138eead3ade8514476fffaf22b870f867b1a3127cd\",0,\"Polynomial.eval_ne\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000625.lean\",\"ee176846e2d7523b7c6bf1e8de6387a51bda4a5928ae6f52b010717d199b2ebb\",0,\"lean_workbook_plus_47104\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000626.lean\",\"36865ee42742fdbb493c922b41f3b2f2ecee1f8c11fb4bed91ce7a705225010e\",0,\"convex_set\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000627.lean\",\"c9631b622d59c8d55453e9b825d752fb1a1a8cba349f62b6ab8bb4db94eb57d4\",0,\"sum_of_series\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000624-n000004-0000-26ec15ac2bb81134.parquet",
-      "sha256": "26ec15ac2bb811345d45b8b0260118f853f806d6bb7f70bda2a81b014361923a",
       "bytes": 108928,
+      "path": "data/train/pb3/oproofs-s00002-r00000624-n000004-0000-26ec15ac2bb81134.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
+      "sha256": "26ec15ac2bb811345d45b8b0260118f853f806d6bb7f70bda2a81b014361923a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000624-n000004-0000-ac1ad161b175ef3a.parquet",
-      "sha256": "ac1ad161b175ef3ad25aafe968ab89a05763230da8ccafec2996c898e15cc079",
       "bytes": 92883,
+      "path": "data/dev/pb3/oproofs-s00002-r00000624-n000004-0000-ac1ad161b175ef3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
+      "sha256": "ac1ad161b175ef3ad25aafe968ab89a05763230da8ccafec2996c898e15cc079"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000624-n000004-0000-daa3a67b6ea7f9e6.parquet",
-      "sha256": "daa3a67b6ea7f9e69d4dacc9555179f660b87d29d107385d35716827202251a8",
       "bytes": 74281,
+      "path": "data/internal_test/pb3/oproofs-s00002-r00000624-n000004-0000-daa3a67b6ea7f9e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
+      "sha256": "daa3a67b6ea7f9e69d4dacc9555179f660b87d29d107385d35716827202251a8"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:624",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:625",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:626",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:627"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000624.lean\",\"ac49ccc89ab7914f279fde138eead3ade8514476fffaf22b870f867b1a3127cd\",0,\"Polynomial.eval_ne\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000625.lean\",\"ee176846e2d7523b7c6bf1e8de6387a51bda4a5928ae6f52b010717d199b2ebb\",0,\"lean_workbook_plus_47104\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000626.lean\",\"36865ee42742fdbb493c922b41f3b2f2ecee1f8c11fb4bed91ce7a705225010e\",0,\"convex_set\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000627.lean\",\"c9631b622d59c8d55453e9b825d752fb1a1a8cba349f62b6ab8bb4db94eb57d4\",0,\"sum_of_series\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000628-n000004.json b/manifests/batches/oproofs/s00002-r00000628-n000004.json
index db23447d388b538982ef46fb2cfd548de3ddcbae..7e6c8f86bc524a291a471d4c286d677b64213e58 100644
--- a/manifests/batches/oproofs/s00002-r00000628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000628-n000004",
   "batch_fingerprint": "b60062781a720c5a3d4b488e69fe38cbbb052bf597d5a5dfa6a92e3369c34b67",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000628-n000004-0000-988ee85ea6ee072c.parquet",
-      "sha256": "988ee85ea6ee072cafbc61b14790453244a2bd0bbce912e1d678e73fd2d671b9",
-      "bytes": 275634,
-      "rows": 22,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000628-n000004-0000-aa6968601a408519.parquet",
-      "sha256": "aa6968601a408519775bfcacad089d111ac78c81dc7f085871fad01e5179e830",
-      "bytes": 94184,
-      "rows": 6,
-      "revision": "08ee457672785640762c475f9a2c4eae7981ca2a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000629.lean\",\"04f648d0a06a5300cac0f1921bd01cf525d68ddd2901f6948876a1f3f99576d1\",0,\"lean_workbook_plus_41729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000630.lean\",\"15a52b151fdf395a21e80eafa53b7c5a7afe1490e272e6f71fee64e55edc25cc\",0,\"lean_workbook_plus_17665\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000631.lean\",\"10e2514374712e8b2a37e8e2b09969645e96c6da046b5780ff2286d1cbc64eff\",0,\"sqrt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275634,
+      "path": "data/train/pe2/oproofs-s00002-r00000628-n000004-0000-988ee85ea6ee072c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "988ee85ea6ee072cafbc61b14790453244a2bd0bbce912e1d678e73fd2d671b9"
+    },
+    {
+      "bytes": 94184,
+      "path": "data/internal_test/pe2/oproofs-s00002-r00000628-n000004-0000-aa6968601a408519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aa6968601a408519775bfcacad089d111ac78c81dc7f085871fad01e5179e830"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000632-n000004.json b/manifests/batches/oproofs/s00002-r00000632-n000004.json
index 32ee03fbbb9b5ff54a1313d03e37b28ad989c8bb..c50606fde8e6ef3765825ecc319619a641060e81 100644
--- a/manifests/batches/oproofs/s00002-r00000632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000632-n000004",
   "batch_fingerprint": "01909c058c5d2911921dac8cc1b3469340b695efc1abda350e34e514f3cb99b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000632-n000004-0000-b0745c94496c353f.parquet",
-      "sha256": "b0745c94496c353fd2586e0f97b1a9c661eed2f204d3f5d41632f49c4d75616c",
-      "bytes": 428064,
-      "rows": 24,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000633.lean\",\"4ce5b8f80e51d23793dc8abbf90d1ea2160d06f22fbe2c92a71ead0de7543fc7\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000634.lean\",\"538feb79b9f23972b1a070812db347cd85b79ed551c32ddfdaaa3aa006a057b0\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000635.lean\",\"da2aa8a3894b7ef59680862b1bd06aa2ba4d7166466415042dc8dfb645431666\",0,\"for_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428064,
+      "path": "data/train/pf0/oproofs-s00002-r00000632-n000004-0000-b0745c94496c353f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b0745c94496c353fd2586e0f97b1a9c661eed2f204d3f5d41632f49c4d75616c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000636-n000004.json b/manifests/batches/oproofs/s00002-r00000636-n000004.json
index f5ddd37eef998dd83d1f881fcb2bba887f489416..1cb62580c61b10f6265381d4494e400bc7c33377 100644
--- a/manifests/batches/oproofs/s00002-r00000636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000636-n000004",
   "batch_fingerprint": "d341fbc7ab93cb074cc3c0edccbbd66025ebf53761dd5ee279c21f00f4946b4b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000636-n000004-0000-ea4e002b06eeb5b0.parquet",
-      "sha256": "ea4e002b06eeb5b0249a3dbe30c2315de6de5e9414a1dee0f655cd5fc160d421",
-      "bytes": 743532,
-      "rows": 20,
-      "revision": "d672ec529729abfb9da27e3f65d03c4f60aebdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000637.lean\",\"596a0d2b6c24ce175d975df659bde51346b0472239ad9e6f1cd650cad450259a\",0,\"max_of_three\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000638.lean\",\"c04771fa2b1b25e3af032ee9d0a79d68f7213d9ec6adc3a6d17533b2206426e3\",0,\"gcd3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000639.lean\",\"f178cb1db4e653055845f22cfadeedff2ddb877077ec5d3ba5165bcac0e5c488\",0,\"Nat.choose.mod\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 743532,
+      "path": "data/train/p3e/oproofs-s00002-r00000636-n000004-0000-ea4e002b06eeb5b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ea4e002b06eeb5b0249a3dbe30c2315de6de5e9414a1dee0f655cd5fc160d421"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000640-n000004.json b/manifests/batches/oproofs/s00002-r00000640-n000004.json
index fbfc81fa474906a238a2d47ca5313bb4c45c979f..26938a9106809f333bcf2bc1578a2eb0f7f1d4e2 100644
--- a/manifests/batches/oproofs/s00002-r00000640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000640-n000004",
   "batch_fingerprint": "5067cce01006de801480e212d882aab43027bb477bb5823822baf13bac9c4eac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000640-n000004-0000-902b52b066124994.parquet",
-      "sha256": "902b52b0661249946dbf471a18756cb1680c47770a65de25c5c2192853f6b484",
-      "bytes": 212078,
-      "rows": 21,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000640-n000004-0000-a9189fc4542f5827.parquet",
-      "sha256": "a9189fc4542f582706efe12264867f2aba9c3dddd1cca2cd1c6a791f77fca331",
-      "bytes": 327123,
-      "rows": 11,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:641",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000641.lean\",\"4ac1cc1f79b53138fe2141242263387e849f351ad1120e4ea2de13bd0c705cee\",0,\"cos_of_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000642.lean\",\"6c1e4c806e83e1971dab6ae5ec3427f644651537977232cf431454e2ce732ead\",0,\"factorial_power\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000643.lean\",\"1d1b90abd16c8bf32d90d30520c66a8602e4920b05d7237fc97de618b8c24ef3\",0,\"isPrimeIdeal\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212078,
+      "path": "data/train/p8b/oproofs-s00002-r00000640-n000004-0000-902b52b066124994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "902b52b0661249946dbf471a18756cb1680c47770a65de25c5c2192853f6b484"
+    },
+    {
+      "bytes": 327123,
+      "path": "data/internal_test/p8b/oproofs-s00002-r00000640-n000004-0000-a9189fc4542f5827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a9189fc4542f582706efe12264867f2aba9c3dddd1cca2cd1c6a791f77fca331"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000644-n000004.json b/manifests/batches/oproofs/s00002-r00000644-n000004.json
index 3b7ddf90822ecc340863eb5f7f75559fdad7aa4b..59d069cb276b77a6c4f75459363a22b0f26098d7 100644
--- a/manifests/batches/oproofs/s00002-r00000644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000644-n000004",
   "batch_fingerprint": "235aa02ac3236a06e094ffc527a69bf403a7628efa661e448adda3ac47370237",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000644-n000004-0000-597593004be26414.parquet",
-      "sha256": "597593004be264147599f2ee1417ac8cb210b19388994347cee70c2572fa028c",
-      "bytes": 962682,
-      "rows": 17,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000644-n000004-0000-2dba38992405f3d5.parquet",
-      "sha256": "2dba38992405f3d56d55b50f194ad33d953cba769085a8fa64dd2d77564a5c5c",
-      "bytes": 67837,
-      "rows": 6,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000645.lean\",\"f26a87af8327170835d84f6cf2cc00be21df4f5e76f82ab7dcb3533b9de2d936\",0,\"MetricConnectedSpace\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000646.lean\",\"5d1b5b2b8a83a0d8be39700020479d97d4825604d5852bef13301cd01e6e66d5\",0,\"isPrimitiveRoot\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000647.lean\",\"b5c1a6fe5f1520ac8f9f0800aa534df84d63201d56bcc62ab7a641c8a914b126\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 962682,
+      "path": "data/train/p04/oproofs-s00002-r00000644-n000004-0000-597593004be26414.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "597593004be264147599f2ee1417ac8cb210b19388994347cee70c2572fa028c"
+    },
+    {
+      "bytes": 67837,
+      "path": "data/internal_test/p04/oproofs-s00002-r00000644-n000004-0000-2dba38992405f3d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2dba38992405f3d56d55b50f194ad33d953cba769085a8fa64dd2d77564a5c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000648-n000004.json b/manifests/batches/oproofs/s00002-r00000648-n000004.json
index 48da74172614ee1655ce474a90fc8c583d855d22..aefb8a995f9e2a2163fe84f309c76d1eb2791844 100644
--- a/manifests/batches/oproofs/s00002-r00000648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000648-n000004",
   "batch_fingerprint": "82181faa3f8173a838fb5e50d0ed6d1356743c4fc1b9de49ded102af5b6f767a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000648-n000004-0000-afb734f4625b6ea4.parquet",
-      "sha256": "afb734f4625b6ea4e421678a661481730cb9308572b5ca60acaa3d3c2c74195c",
-      "bytes": 794192,
-      "rows": 32,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000648-n000004-0001-6e202e6d3ad5eda1.parquet",
-      "sha256": "6e202e6d3ad5eda1f112f415bbd65d8901abbef5191468c032d5a70455d96142",
-      "bytes": 697981,
-      "rows": 6,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000649.lean\",\"01fd4fb6842b26a648dd28258ebd4ce0c691dd6edf1ee68e12de7aa4fd85b211\",0,\"logb_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000650.lean\",\"92cce2b5c2ee7333c368627f07899b9b5e653f434b4ef1018f94dc4f9a5e42ff\",0,\"algebra_486519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000651.lean\",\"b0e8489f0b0f48f98c6106c3dc75f274aeb92ede4cd87937796affa000f7859a\",0,\"for_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 794192,
+      "path": "data/train/p09/oproofs-s00002-r00000648-n000004-0000-afb734f4625b6ea4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "afb734f4625b6ea4e421678a661481730cb9308572b5ca60acaa3d3c2c74195c"
+    },
+    {
+      "bytes": 697981,
+      "path": "data/train/p09/oproofs-s00002-r00000648-n000004-0001-6e202e6d3ad5eda1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6e202e6d3ad5eda1f112f415bbd65d8901abbef5191468c032d5a70455d96142"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000652-n000004.json b/manifests/batches/oproofs/s00002-r00000652-n000004.json
index a3b4a62443039fed3fe6c9b8293664343d3ca7e3..f864861a0549830892d5f79bac0d1e36671e62bf 100644
--- a/manifests/batches/oproofs/s00002-r00000652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000652-n000004",
   "batch_fingerprint": "5aba4dbcdcc8130a29af59c21ea32dddb0801da0456ddec525fae7d95b06ffa7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:652",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:653",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:654",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:655"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000652.lean\",\"af2e0f71ccff77795cff2d6608f9735fab6adad0c6a8df565ff808607a29b335\",0,\"a_b_c\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000653.lean\",\"9dadf4a06d7984958d710678ce3e7593d8f667ee7a9976c16262aa22c6ad48a4\",0,\"RealSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000654.lean\",\"29b06e9a5882af47efa4033dbe974c8cbffe8734f189c8257b3f81dd51ae6880\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000655.lean\",\"22d5bb6dabc0b63288d5eba7dabec6b493c1aceabbe661ae2437d0c4935a64f1\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000652-n000004-0000-35d83802f941baa5.parquet",
-      "sha256": "35d83802f941baa50456fa25895d8c3f18ceda5d7267b934c3c3890a84ab2e88",
       "bytes": 643190,
+      "path": "data/train/p75/oproofs-s00002-r00000652-n000004-0000-35d83802f941baa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "9b716851766e717a422b3e06352db52606ff253c"
+      "sha256": "35d83802f941baa50456fa25895d8c3f18ceda5d7267b934c3c3890a84ab2e88"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000652-n000004-0001-e7d2ad0c2694dba0.parquet",
-      "sha256": "e7d2ad0c2694dba084bc191e8bd84bf8e8bbc42f354fe0f697761fd0a2a77174",
       "bytes": 366699,
+      "path": "data/train/p75/oproofs-s00002-r00000652-n000004-0001-e7d2ad0c2694dba0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9b716851766e717a422b3e06352db52606ff253c"
+      "sha256": "e7d2ad0c2694dba084bc191e8bd84bf8e8bbc42f354fe0f697761fd0a2a77174"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000652-n000004-0000-a85104a50ea86c58.parquet",
-      "sha256": "a85104a50ea86c5858796011d1789345baef4d4015d6a6b609edd860018a5ef5",
       "bytes": 73152,
+      "path": "data/internal_test/p75/oproofs-s00002-r00000652-n000004-0000-a85104a50ea86c58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "9b716851766e717a422b3e06352db52606ff253c"
+      "sha256": "a85104a50ea86c5858796011d1789345baef4d4015d6a6b609edd860018a5ef5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:652",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:653",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:654",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:655"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000652.lean\",\"af2e0f71ccff77795cff2d6608f9735fab6adad0c6a8df565ff808607a29b335\",0,\"a_b_c\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000653.lean\",\"9dadf4a06d7984958d710678ce3e7593d8f667ee7a9976c16262aa22c6ad48a4\",0,\"RealSet\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000654.lean\",\"29b06e9a5882af47efa4033dbe974c8cbffe8734f189c8257b3f81dd51ae6880\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000655.lean\",\"22d5bb6dabc0b63288d5eba7dabec6b493c1aceabbe661ae2437d0c4935a64f1\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000656-n000004.json b/manifests/batches/oproofs/s00002-r00000656-n000004.json
index e18961cf2628377d87da837a69e72a613376147e..6b86291c7366985c18c975bdb9576b3c6b8b5122 100644
--- a/manifests/batches/oproofs/s00002-r00000656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000656-n000004",
   "batch_fingerprint": "cb14a47021ec3f9fc374a0b3ad8c48e8b66bf1f3c5b26326c77824456bcd0991",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:656",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:657",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:658",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:659"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000656.lean\",\"bc0fa2789396b6789dc76ced5e848fab00de80b0bc74a6449b946174afa5e0e1\",0,\"algebra.BigOperators.Ring\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000657.lean\",\"b56ac857f99107d31484707796873fea3e8b4bfd271fcf36ecfe1c2333c88fd8\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000658.lean\",\"7ff0deb53c433901b01b613d9343ff78a5bd37e56a42da8f84ce7aad72f58581\",0,\"exists_four_coprime_from_five\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000659.lean\",\"7b1845a07e04716dafb291f8b0a6669edce237c3480f082be925882c3a92888c\",0,\"tony_change\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000656-n000004-0000-6e3223f75cddad13.parquet",
-      "sha256": "6e3223f75cddad13ec01aec90933db959dab8887bd14b1bb8b55336c11d71a41",
       "bytes": 1364252,
+      "path": "data/train/pd6/oproofs-s00002-r00000656-n000004-0000-6e3223f75cddad13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "6e3223f75cddad13ec01aec90933db959dab8887bd14b1bb8b55336c11d71a41"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000656-n000004-0001-62ec9d33a790d6ca.parquet",
-      "sha256": "62ec9d33a790d6ca28299a877a18974cca3ae22b2e5bbd0dee39a3f766d3a552",
       "bytes": 89627,
+      "path": "data/train/pd6/oproofs-s00002-r00000656-n000004-0001-62ec9d33a790d6ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "62ec9d33a790d6ca28299a877a18974cca3ae22b2e5bbd0dee39a3f766d3a552"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000656-n000004-0000-d7f73da0168418eb.parquet",
-      "sha256": "d7f73da0168418ebe2ed508ba87d00cd315a05ecf9e63bfcf041c00c2140f2b7",
       "bytes": 74678,
+      "path": "data/internal_test/pd6/oproofs-s00002-r00000656-n000004-0000-d7f73da0168418eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "d7f73da0168418ebe2ed508ba87d00cd315a05ecf9e63bfcf041c00c2140f2b7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:656",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:657",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:658",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:659"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000656.lean\",\"bc0fa2789396b6789dc76ced5e848fab00de80b0bc74a6449b946174afa5e0e1\",0,\"algebra.BigOperators.Ring\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000657.lean\",\"b56ac857f99107d31484707796873fea3e8b4bfd271fcf36ecfe1c2333c88fd8\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000658.lean\",\"7ff0deb53c433901b01b613d9343ff78a5bd37e56a42da8f84ce7aad72f58581\",0,\"exists_four_coprime_from_five\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000659.lean\",\"7b1845a07e04716dafb291f8b0a6669edce237c3480f082be925882c3a92888c\",0,\"tony_change\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000660-n000004.json b/manifests/batches/oproofs/s00002-r00000660-n000004.json
index bf0ec5fd8f5478cc6fed8285fdcd8c4ddae52f3d..ce28da6992f0d241bb6dc5ac050a8fe0f4804a27 100644
--- a/manifests/batches/oproofs/s00002-r00000660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000660-n000004",
   "batch_fingerprint": "f6db3736dd1a8348558fff54fd54609cb457ca020d3b54dc3c0263875e7a028f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000660-n000004-0000-2d6e4e6a6caabbee.parquet",
-      "sha256": "2d6e4e6a6caabbee4652269ebcfd3e94cb6dc0b1de020be99b7ac6101f92c1f2",
-      "bytes": 383115,
-      "rows": 8,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000660-n000004-0001-6cbc8f67e2036bdb.parquet",
-      "sha256": "6cbc8f67e2036bdb533a29d43020be95153123d9faaa485c719bb6531f62893a",
-      "bytes": 1140005,
-      "rows": 9,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000661.lean\",\"52986c3840c21a91e9308dce4399a55cb3317aee95299b89262289f305542719\",0,\"algebraic_457891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000662.lean\",\"300f4cc4bf7e6f9148b8687ea6273784b1e84e689a179bfa2ee335b19eb1de67\",0,\"Real.cos_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000663.lean\",\"2f4466d5bb054a4d465f11f468138f5c04f46746c85f046f60be8dfc0bfac77f\",0,\"evil_league_distance\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383115,
+      "path": "data/train/p1f/oproofs-s00002-r00000660-n000004-0000-2d6e4e6a6caabbee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2d6e4e6a6caabbee4652269ebcfd3e94cb6dc0b1de020be99b7ac6101f92c1f2"
+    },
+    {
+      "bytes": 1140005,
+      "path": "data/train/p1f/oproofs-s00002-r00000660-n000004-0001-6cbc8f67e2036bdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6cbc8f67e2036bdb533a29d43020be95153123d9faaa485c719bb6531f62893a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000664-n000004.json b/manifests/batches/oproofs/s00002-r00000664-n000004.json
index 2575d3acd5b31c6acdc3092b4cc049421a480161..a9a79a34711548d6ae1cdcdf23c32836c2a53ca7 100644
--- a/manifests/batches/oproofs/s00002-r00000664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000664-n000004",
   "batch_fingerprint": "a209ad420b94abf6eb90da46ca43a5acab3ada36d855a91434801c7f9805f3d0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000664-n000004-0000-059751e28fcbf9c9.parquet",
-      "sha256": "059751e28fcbf9c9cf2c826ef34bc42f905ffd23f8085eb36e52dc44c7204fb3",
-      "bytes": 739051,
-      "rows": 13,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000664-n000004-0000-c12c0223ebd82d58.parquet",
-      "sha256": "c12c0223ebd82d580980fd2fa26452e59d84537d1e426ccf8696b23c2587130a",
-      "bytes": 596748,
-      "rows": 19,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000665.lean\",\"1c6535174b80b83e620c84e9ca740789de5d80290644d5ff7281604c88c7aec1\",0,\"tan_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000666.lean\",\"1f418f8310e7d4c111404b4fb44edb0dff5bd76eb1e31b274dd9f27ff87ff3ed\",0,\"algebra_436547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000667.lean\",\"8626e3c210af076a68e7badc2bf0245d4bceaaa4a8b38786d782d85c5bc754db\",0,\"Polynomial.roots.toFinset.card\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 739051,
+      "path": "data/train/pbe/oproofs-s00002-r00000664-n000004-0000-059751e28fcbf9c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "059751e28fcbf9c9cf2c826ef34bc42f905ffd23f8085eb36e52dc44c7204fb3"
+    },
+    {
+      "bytes": 596748,
+      "path": "data/internal_test/pbe/oproofs-s00002-r00000664-n000004-0000-c12c0223ebd82d58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c12c0223ebd82d580980fd2fa26452e59d84537d1e426ccf8696b23c2587130a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000668-n000004.json b/manifests/batches/oproofs/s00002-r00000668-n000004.json
index f0d5927aa209dc60d7b8b1a03806f6fc8e3d8c69..43bccd12383c809f1b3dce4280020667e9f42267 100644
--- a/manifests/batches/oproofs/s00002-r00000668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000668-n000004",
   "batch_fingerprint": "9739c6740c37679b6ce8a8b916449aae5351b54ce71185785be787581daede3c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000668-n000004-0000-41daa71765d5af85.parquet",
-      "sha256": "41daa71765d5af8535ee2aabd4ea87158bce32f3aa08d85fc32d653cd55b0bad",
-      "bytes": 666391,
-      "rows": 10,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000668-n000004-0000-981105c53e3b9e13.parquet",
-      "sha256": "981105c53e3b9e1356c493299eaac12927260ff08e9ab600f5cf2c86da37590d",
-      "bytes": 60116,
-      "rows": 8,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000669.lean\",\"bb763e38955a76d5c3478ec1b635e2bfebdc572179a7ece79b0f7823b998ffb8\",0,\"final_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000670.lean\",\"943d4d2cdc442524d7379621cd4cae018afe5a1b055a901c15a0e0dd96991d31\",0,\"reginald_apple_sales\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000671.lean\",\"cdc9f1b6950fd3463ca9345d426be9a37553f39e7970f9c5c91f4645512738d9\",0,\"a_2019_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 666391,
+      "path": "data/train/p06/oproofs-s00002-r00000668-n000004-0000-41daa71765d5af85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "41daa71765d5af8535ee2aabd4ea87158bce32f3aa08d85fc32d653cd55b0bad"
+    },
+    {
+      "bytes": 60116,
+      "path": "data/dev/p06/oproofs-s00002-r00000668-n000004-0000-981105c53e3b9e13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "981105c53e3b9e1356c493299eaac12927260ff08e9ab600f5cf2c86da37590d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000672-n000004.json b/manifests/batches/oproofs/s00002-r00000672-n000004.json
index 2d6e6201d7af68f83fe4b06708e2514fdabe9c51..68c72bcbf50134a1e78a0013111f1b8fb958c3a1 100644
--- a/manifests/batches/oproofs/s00002-r00000672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000672-n000004",
   "batch_fingerprint": "67694e0aaba8a4632c48a3cbe7214033bbbea012b831034f5828d7bfa37fff33",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000672-n000004-0000-c0cfd9db734c4cec.parquet",
-      "sha256": "c0cfd9db734c4cece8569f5bb0f78d349170d7be852cbe8b21dea894c412519e",
-      "bytes": 350976,
-      "rows": 11,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000672-n000004-0000-c28442865a3023fa.parquet",
-      "sha256": "c28442865a3023fa57b22f056f08ce38d5c620fd6e7315a16fa1ecf1e73692d4",
-      "bytes": 89024,
-      "rows": 6,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:673",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000673.lean\",\"33dbc8f4067f616c73c740ccb4abfe321289a04a53efa7c95141874739355a82\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000674.lean\",\"93b6045eedeca97c2562d19b81ef1d800ae42c882a56a4bfb879b64235caccea\",0,\"shortest_distance_between_circles\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000675.lean\",\"32f6a5d8d9c9447ac93ce2da7efd3de28393c3ea9bfed7561e11d204de40f4cd\",0,\"example_14\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350976,
+      "path": "data/train/p7a/oproofs-s00002-r00000672-n000004-0000-c0cfd9db734c4cec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c0cfd9db734c4cece8569f5bb0f78d349170d7be852cbe8b21dea894c412519e"
+    },
+    {
+      "bytes": 89024,
+      "path": "data/dev/p7a/oproofs-s00002-r00000672-n000004-0000-c28442865a3023fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c28442865a3023fa57b22f056f08ce38d5c620fd6e7315a16fa1ecf1e73692d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000676-n000004.json b/manifests/batches/oproofs/s00002-r00000676-n000004.json
index f77f3586f6f916a4616b5d5cebc816a1ae1b0c6c..de92a2ad67f88213790992bfaf01b0a1d61f82a1 100644
--- a/manifests/batches/oproofs/s00002-r00000676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000676-n000004",
   "batch_fingerprint": "957db291b1a9429945a3e7f93b09e42d1ee8e485752c3380b18e8a7f9abe1d35",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000676-n000004-0000-ae19e68076ce2757.parquet",
-      "sha256": "ae19e68076ce2757cb8e6073da6e3945dbec0757654e8c4b4532da506ed6addf",
-      "bytes": 239015,
-      "rows": 15,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000676-n000004-0000-540bc4da06e05b7f.parquet",
-      "sha256": "540bc4da06e05b7f7a890306077c8f9b6689d37c6e18e445c20538839b220ed9",
-      "bytes": 90445,
-      "rows": 6,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:677",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000677.lean\",\"fab94f24cf6a16eab54cf4dbbf3faf4ff1e9fa0662f3cafce36819daa22a908c\",0,\"revenue_decrease\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000678.lean\",\"29dfc1ad0d6d76eb1bafb0460912d60dafbed230d429b0a95c235982d2aae3e6\",0,\"inscribed_cube_volume\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000679.lean\",\"7beaecafe8c06ff13513dd3f270a5d021d7886030267baa2bdb1324a43d04bbe\",0,\"largest_constant_k\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239015,
+      "path": "data/train/pee/oproofs-s00002-r00000676-n000004-0000-ae19e68076ce2757.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ae19e68076ce2757cb8e6073da6e3945dbec0757654e8c4b4532da506ed6addf"
+    },
+    {
+      "bytes": 90445,
+      "path": "data/dev/pee/oproofs-s00002-r00000676-n000004-0000-540bc4da06e05b7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "540bc4da06e05b7f7a890306077c8f9b6689d37c6e18e445c20538839b220ed9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000680-n000004.json b/manifests/batches/oproofs/s00002-r00000680-n000004.json
index 951d49974cb5f136546081d8ff1b9e71371065a9..9ab55a4f0a354757ae6e64eac0cef72c0429ac9e 100644
--- a/manifests/batches/oproofs/s00002-r00000680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000680-n000004",
   "batch_fingerprint": "9ab5943cabf162c88b3512def85ef749a19a12efe166be2c7a233f15f3120e92",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000680-n000004-0000-91605f9ca2560397.parquet",
-      "sha256": "91605f9ca2560397c77a8f8b022d6daecc069dea53f7d6ff25d2fb1e5a3d6393",
-      "bytes": 178265,
-      "rows": 22,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000680-n000004-0000-9e8fb0ff8d3dafa0.parquet",
-      "sha256": "9e8fb0ff8d3dafa00a2d41b33aee76518f599c6189d9ebf9adb600fd57a51a6d",
-      "bytes": 50367,
-      "rows": 4,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000681.lean\",\"9e907b407f29d7430a2653fa1e1baafa1a4b841593f22b5e0465bf168aedf25e\",0,\"intersection_example\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000682.lean\",\"95329cb8f0f7f67cde92efca40646b23087be3f678e0deee0dc0121f01c0ed5d\",0,\"piazzanos_pricing\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000683.lean\",\"1bfa00809959b332b469abf49ea6ee3f99be6b4a014f09872955a38ec74e039d\",0,\"bertolli_farm_yield_difference\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178265,
+      "path": "data/train/p2e/oproofs-s00002-r00000680-n000004-0000-91605f9ca2560397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "91605f9ca2560397c77a8f8b022d6daecc069dea53f7d6ff25d2fb1e5a3d6393"
+    },
+    {
+      "bytes": 50367,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00000680-n000004-0000-9e8fb0ff8d3dafa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9e8fb0ff8d3dafa00a2d41b33aee76518f599c6189d9ebf9adb600fd57a51a6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000684-n000004.json b/manifests/batches/oproofs/s00002-r00000684-n000004.json
index 2f07690eed7bce2afa7ddec6343bea00b5e6cb95..e181b2d6dd4449375cd6367d6dbe732cc45635ee 100644
--- a/manifests/batches/oproofs/s00002-r00000684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000684-n000004",
   "batch_fingerprint": "5013592422626b19c04c8d10237c812f1209225b9fdd97c5f9ff1b0f18c1f04f",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000684-n000004-0000-7deccf0bbab36312.parquet",
-      "sha256": "7deccf0bbab363124028401853bb596b26fe330b988e33a4e811d9031220a0c1",
-      "bytes": 234737,
-      "rows": 6,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000684-n000004-0000-36a1a0fd59188a95.parquet",
-      "sha256": "36a1a0fd59188a957ff96bc90ce9460cb3302f59aae66a5b3d1566b37054c799",
-      "bytes": 36341,
-      "rows": 2,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:685",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:686",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000685.lean\",\"676acfdc7fbea1f0d3d627831c0cd869e775a62a335dd201bcb6800f568ff328\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000686.lean\",\"8d9d8ae169f61319a102e3fe00ae08e6a3c8118494a34b24918222bd2fc40411\",0,\"area_quadrilateral\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000687.lean\",\"0d53c66b53aad3545b0799a8903fbc3134a454b31d3d9453e0b6358387a233ca\",0,\"shaded_areas\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234737,
+      "path": "data/train/p52/oproofs-s00002-r00000684-n000004-0000-7deccf0bbab36312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7deccf0bbab363124028401853bb596b26fe330b988e33a4e811d9031220a0c1"
+    },
+    {
+      "bytes": 36341,
+      "path": "data/internal_test/p52/oproofs-s00002-r00000684-n000004-0000-36a1a0fd59188a95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36a1a0fd59188a957ff96bc90ce9460cb3302f59aae66a5b3d1566b37054c799"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000688-n000004.json b/manifests/batches/oproofs/s00002-r00000688-n000004.json
index bfe65fd25eebfd0092fa2e6ce0459281e871f3ef..60d171347fd97a9b0f531e712461601ff7f0c4ed 100644
--- a/manifests/batches/oproofs/s00002-r00000688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000688-n000004",
   "batch_fingerprint": "a94b39f6fe74d657fcd04175adeb6188da0ace8c6c74e1eed3216796e05b1d8e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000688-n000004-0000-1893faeda5eec412.parquet",
-      "sha256": "1893faeda5eec4120e30d685c18a7f2415b58f8291801133809ef9bc32fe1738",
-      "bytes": 138094,
-      "rows": 19,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000689.lean\",\"61d9a8a119f66b45cbe9d706d5c65b354952c7d83960d5611c02fb168ed4e4f1\",0,\"gary_paula_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000690.lean\",\"7891ac080fb63485038ee46a931ce41c284e8008bafa9f3c4397df5bd3360b79\",0,\"mathd_problem_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000691.lean\",\"122103351a314983e5832926a6bc2903a140063bed655b2187e3a3eb7b6b27d9\",0,\"total_legs_of_dogs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138094,
+      "path": "data/train/pc5/oproofs-s00002-r00000688-n000004-0000-1893faeda5eec412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1893faeda5eec4120e30d685c18a7f2415b58f8291801133809ef9bc32fe1738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000692-n000004.json b/manifests/batches/oproofs/s00002-r00000692-n000004.json
index 409945222cbe18c06f2a50e891b7730052c0d678..1681b30daef9f8bc2b1633320e95f17e73743056 100644
--- a/manifests/batches/oproofs/s00002-r00000692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000692-n000004",
   "batch_fingerprint": "41b9a34858426936c4736acedffce6260198d896c88f51180bdee3eb3ef60cde",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000692-n000004-0000-6c7c69ab38be5fdb.parquet",
-      "sha256": "6c7c69ab38be5fdb087e889c9cfa7a2770b01bab0362e9c06131a480938767fb",
-      "bytes": 111560,
-      "rows": 5,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000692-n000004-0000-c80a02827516ba81.parquet",
-      "sha256": "c80a02827516ba81c8bc1fe2e715ed3146977dae9ef4229714ff3fffc04d1db8",
-      "bytes": 85296,
-      "rows": 6,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:693",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000692.lean\",\"9b478e4715257cee7ecb753ae7ae2413a4db6b8a232579ddcb83c966bdcabcfe\",0,\"tammy_runs_5_loops_per_day\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000693.lean\",\"51946170acd1f20028de3a9bdae813dd0bce06ec41e545c439890da1d8b04e6e\",0,\"free_throws_calculated\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000695.lean\",\"d69dbce22ac8e60c84a77cdae686cbac781c620e9e7d7829ab155db1220eddb7\",0,\"limit_derivative\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111560,
+      "path": "data/train/pf1/oproofs-s00002-r00000692-n000004-0000-6c7c69ab38be5fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6c7c69ab38be5fdb087e889c9cfa7a2770b01bab0362e9c06131a480938767fb"
+    },
+    {
+      "bytes": 85296,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00000692-n000004-0000-c80a02827516ba81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c80a02827516ba81c8bc1fe2e715ed3146977dae9ef4229714ff3fffc04d1db8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000696-n000004.json b/manifests/batches/oproofs/s00002-r00000696-n000004.json
index 26c3b368665bf87bccfe42cfc0ad0c6295248041..bb847dfe1927ee2a48a23754ffbb1c15b891176c 100644
--- a/manifests/batches/oproofs/s00002-r00000696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000696-n000004",
   "batch_fingerprint": "bcb30d53f69fca2b1dc933d8fb2874c38a0bfa57e6924cffce6f76a5421e202a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000696-n000004-0000-c8f712665a20913c.parquet",
-      "sha256": "c8f712665a20913c44dd1f2b5943e2395a0499ca62a3bfa7376dd82dd02eba54",
-      "bytes": 773591,
-      "rows": 23,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000696-n000004-0000-a1a7dc12f9c12d08.parquet",
-      "sha256": "a1a7dc12f9c12d0837fd2c5f56929a3fca18c7323f654e692d1934a3566329c8",
-      "bytes": 179847,
-      "rows": 5,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000697.lean\",\"cb8aa285c6653422188c85287a71c68b5a3816c3460e2e12b448909e430cba0c\",0,\"least_expensive_travel_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000698.lean\",\"42d2936d5ac4b50c79e4e39664a28459d6806a59aeecde48ffa3aa5d5cc40eec\",0,\"max_angle_B_in_geometric_sequence_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000699.lean\",\"782571d0a7c33a728ca1b688f77a74e29411363b5a0a548e4100006627241d80\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 773591,
+      "path": "data/train/pdc/oproofs-s00002-r00000696-n000004-0000-c8f712665a20913c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c8f712665a20913c44dd1f2b5943e2395a0499ca62a3bfa7376dd82dd02eba54"
+    },
+    {
+      "bytes": 179847,
+      "path": "data/internal_test/pdc/oproofs-s00002-r00000696-n000004-0000-a1a7dc12f9c12d08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a1a7dc12f9c12d0837fd2c5f56929a3fca18c7323f654e692d1934a3566329c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000700-n000004.json b/manifests/batches/oproofs/s00002-r00000700-n000004.json
index a13a8d248ecb851a046ab359a6bbea857654eb8c..5b408cbc46ec4857c623b542fdf72a876c77ed2e 100644
--- a/manifests/batches/oproofs/s00002-r00000700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000700-n000004",
   "batch_fingerprint": "0b989e1e60089b1593590c8f24be3af863ab48ae51823d99433106a349e20280",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000700-n000004-0000-d2228579100171cd.parquet",
-      "sha256": "d2228579100171cd06a49cc82f90deba588001aa4dd50c781c59df57923f259e",
-      "bytes": 557303,
-      "rows": 29,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:701",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000701.lean\",\"340136e6a0db6a9b5d1cb476021be9ca8250bf7fe7e85aade18bc0612df8a5bc\",0,\"area_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000702.lean\",\"ffed8ee4255b37bcd3dd743105981e300281fcbc201508afbde3c2a219397918\",0,\"cone_volume_and_surface_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000703.lean\",\"ec18154d941ac4bd60545ea8457c2507eced7156e9df97ce434cc918b4e1bbd3\",0,\"is_even\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 557303,
+      "path": "data/train/p78/oproofs-s00002-r00000700-n000004-0000-d2228579100171cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d2228579100171cd06a49cc82f90deba588001aa4dd50c781c59df57923f259e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000704-n000004.json b/manifests/batches/oproofs/s00002-r00000704-n000004.json
index 10d302d7b67318515833d4d45bd2192286087359..c9ebf0aeb1f7cf5fd16d894b15999e52880b3a9e 100644
--- a/manifests/batches/oproofs/s00002-r00000704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000704-n000004",
   "batch_fingerprint": "b0e3555f3f559376ab20c0c0b781affd5d5f48d0169ae34c2b3bff5ba2c88ace",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000704-n000004-0000-f8486aac3d903d1a.parquet",
-      "sha256": "f8486aac3d903d1aed57c424684f9928772461602e93947955e97fc5c5a9e5a3",
-      "bytes": 329904,
-      "rows": 16,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000704-n000004-0000-aa693d08c1d2ecc6.parquet",
-      "sha256": "aa693d08c1d2ecc6f1157eeb41f676e0808d190298c558e680eaa330823c1b37",
-      "bytes": 311124,
-      "rows": 10,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000705.lean\",\"c0243eb3a0d5929872524158f5a0ca199b32e6aaf9c8ebcd47335814abd18d07\",0,\"max_min\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000706.lean\",\"2e72bf69c9cd0e381a4e04645d3eea7412ea257c6a9f5eb9d595fca2362c2dac\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000707.lean\",\"2417eceeca87bd296d598c448d5d9703e564b13ccda1e4f7559122068605a07d\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329904,
+      "path": "data/train/p4a/oproofs-s00002-r00000704-n000004-0000-f8486aac3d903d1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f8486aac3d903d1aed57c424684f9928772461602e93947955e97fc5c5a9e5a3"
+    },
+    {
+      "bytes": 311124,
+      "path": "data/dev/p4a/oproofs-s00002-r00000704-n000004-0000-aa693d08c1d2ecc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "aa693d08c1d2ecc6f1157eeb41f676e0808d190298c558e680eaa330823c1b37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000708-n000004.json b/manifests/batches/oproofs/s00002-r00000708-n000004.json
index 184453e518bfdf194d7a46dcb04ca323a4a0b5d1..2e473544e722bb9880c59f11a9186eca9fe860c7 100644
--- a/manifests/batches/oproofs/s00002-r00000708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000708-n000004",
   "batch_fingerprint": "9d4e0e4eab2c3a4a4cece3d4cc7f220ae1980e20f9fae155c3cdbedd3abd6f2e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000708-n000004-0000-f46a1e222c39c03d.parquet",
-      "sha256": "f46a1e222c39c03daf74078b907632b5cf400328d88d16b68d9b51fd0898430c",
-      "bytes": 394002,
-      "rows": 12,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000709.lean\",\"871b5f03723b8f8584804bc4dfaf1cc7c74478fd7d5e04d9171aee07ecbe44f8\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000710.lean\",\"879bc91fde0819025ba821fc3bbaa4652de948bf70a7587b13563795b2f86c08\",0,\"lean_workbook_17129\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000711.lean\",\"cdba15d1a2f80d9f0783ead17b150c4899bf2cfe95763bdac80063c3c5121a9a\",0,\"CubicFunction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394002,
+      "path": "data/train/pa3/oproofs-s00002-r00000708-n000004-0000-f46a1e222c39c03d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f46a1e222c39c03daf74078b907632b5cf400328d88d16b68d9b51fd0898430c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000712-n000004.json b/manifests/batches/oproofs/s00002-r00000712-n000004.json
index 62ad0bdb289216301a63d46d77d85ed213c1dbef..425b6349b33dea91ba145b182abbe55b3df94626 100644
--- a/manifests/batches/oproofs/s00002-r00000712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000712-n000004",
   "batch_fingerprint": "f3245de299f4cb615a741ed196e4fc96643e93d2790287a9551df8b86819d790",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:712",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:713",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:714",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:715"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000712.lean\",\"b853cb7e382a4fee408937ade87ed5282ad9df27c68fe53ddaccc9afb2b258ed\",0,\"algebra_486974\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000713.lean\",\"6a35bbbe2587658f34e5a44af0d3cb7af7dfe836089566f7f04ddac649fcb0fb\",0,\"lean_workbook_plus_20622\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000714.lean\",\"a0059c484b3442e3b2a725d933c7d4447f02a283089cec12a43af43896746a6d\",0,\"real_1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000715.lean\",\"70e07d5c72a0b9999cade0946f4b2dc355142673399118957cdc099bb35633d4\",0,\"final_count\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000712-n000004-0000-f4d126374b77d259.parquet",
-      "sha256": "f4d126374b77d259acbe491ac79c125d230f0deba0650139d2f6f387a0a59071",
       "bytes": 75651,
+      "path": "data/train/pc3/oproofs-s00002-r00000712-n000004-0000-f4d126374b77d259.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
+      "sha256": "f4d126374b77d259acbe491ac79c125d230f0deba0650139d2f6f387a0a59071"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000712-n000004-0000-603d4d457266d035.parquet",
-      "sha256": "603d4d457266d035db2b4c2d60ef52f80fa2942087226995e3516d56c89a5005",
       "bytes": 370128,
+      "path": "data/dev/pc3/oproofs-s00002-r00000712-n000004-0000-603d4d457266d035.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
+      "sha256": "603d4d457266d035db2b4c2d60ef52f80fa2942087226995e3516d56c89a5005"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000712-n000004-0000-a501331ceeb994d3.parquet",
-      "sha256": "a501331ceeb994d32d995c98f60330ac4d447455d3167081856cc99761b20de4",
       "bytes": 801540,
+      "path": "data/internal_test/pc3/oproofs-s00002-r00000712-n000004-0000-a501331ceeb994d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
+      "sha256": "a501331ceeb994d32d995c98f60330ac4d447455d3167081856cc99761b20de4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000712-n000004-0001-764847cf1ecdeb98.parquet",
-      "sha256": "764847cf1ecdeb98599d7756826dff93380d98bc9845ffb09988692cb6e9bcc0",
       "bytes": 1045704,
+      "path": "data/internal_test/pc3/oproofs-s00002-r00000712-n000004-0001-764847cf1ecdeb98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
+      "sha256": "764847cf1ecdeb98599d7756826dff93380d98bc9845ffb09988692cb6e9bcc0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:712",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:713",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:714",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:715"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000712.lean\",\"b853cb7e382a4fee408937ade87ed5282ad9df27c68fe53ddaccc9afb2b258ed\",0,\"algebra_486974\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000713.lean\",\"6a35bbbe2587658f34e5a44af0d3cb7af7dfe836089566f7f04ddac649fcb0fb\",0,\"lean_workbook_plus_20622\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000714.lean\",\"a0059c484b3442e3b2a725d933c7d4447f02a283089cec12a43af43896746a6d\",0,\"real_1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000715.lean\",\"70e07d5c72a0b9999cade0946f4b2dc355142673399118957cdc099bb35633d4\",0,\"final_count\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000716-n000004.json b/manifests/batches/oproofs/s00002-r00000716-n000004.json
index 1dcca70ce2aaae0d95967de87716ac8543c77e21..47a6c650a4677d795f3288c6a6e2d8042d286aa1 100644
--- a/manifests/batches/oproofs/s00002-r00000716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000716-n000004",
   "batch_fingerprint": "fb58e492bb17daefbd66eecc360009c35c369c41845e6ebef68ab3b60ce45b4d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000716-n000004-0000-dd0c3364d4b335c4.parquet",
-      "sha256": "dd0c3364d4b335c4793d23c41aad8aa915e03ec6e4af4c380bb69085ebc9759b",
-      "bytes": 158249,
-      "rows": 18,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000716-n000004-0000-17f626c40dff05c1.parquet",
-      "sha256": "17f626c40dff05c19b5ae7fe5781a09077b164e7e23b4b2b568ca6274919df4c",
-      "bytes": 83384,
-      "rows": 3,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000717.lean\",\"1bb56c53c8cdbf2e1dc9a4a96947643844011908fd9946c57e9641ad7758bcbb\",0,\"reginald_apple_sales\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000718.lean\",\"d88db6fde3c69e4891d845ec8a70bdac1e54c932a14ad9a96092cf5c73c6d036\",0,\"grape_juice_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000719.lean\",\"a563aff9ceb5070f67b6ec0b9fe0354c7f952381835a4a1c75eaa70bfb801faf\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158249,
+      "path": "data/train/p65/oproofs-s00002-r00000716-n000004-0000-dd0c3364d4b335c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "dd0c3364d4b335c4793d23c41aad8aa915e03ec6e4af4c380bb69085ebc9759b"
+    },
+    {
+      "bytes": 83384,
+      "path": "data/dev/p65/oproofs-s00002-r00000716-n000004-0000-17f626c40dff05c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "17f626c40dff05c19b5ae7fe5781a09077b164e7e23b4b2b568ca6274919df4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000720-n000004.json b/manifests/batches/oproofs/s00002-r00000720-n000004.json
index 305544ff07494bd38b24b845ac61a06ebe57fa79..3ebfc2b8ac0acaf2afa144fda15947e2d51bf646 100644
--- a/manifests/batches/oproofs/s00002-r00000720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000720-n000004",
   "batch_fingerprint": "c321091d94155d5181b144da8585acbc81e5fc8a26c43b1f11b6d543fe592c96",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000720-n000004-0000-e4138adcbbf51eec.parquet",
-      "sha256": "e4138adcbbf51eec83ec628b2ae38c88f0aa0b163f26c5330a101a984483bbab",
-      "bytes": 292817,
-      "rows": 16,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000720-n000004-0000-830154a8f8e4cc5c.parquet",
-      "sha256": "830154a8f8e4cc5cf5ad64c85a8385a057f3928e410ed11b2dd25083e927cf7a",
-      "bytes": 85672,
-      "rows": 3,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000721.lean\",\"49c7b3836f8bd181272de9bc92d74f7def3e44a29030f9d438c6788eee049386\",0,\"problem_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000722.lean\",\"ae527f67776d6264a7fcb8a192bf37d93802ba9a760d028f96949c98361a628d\",0,\"value_range_of_function\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000723.lean\",\"4ff754eeb92d82ed8f0d6e2f3d4d4b26a967fb8e3c8de94fc28095fffb155198\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292817,
+      "path": "data/train/p2c/oproofs-s00002-r00000720-n000004-0000-e4138adcbbf51eec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e4138adcbbf51eec83ec628b2ae38c88f0aa0b163f26c5330a101a984483bbab"
+    },
+    {
+      "bytes": 85672,
+      "path": "data/dev/p2c/oproofs-s00002-r00000720-n000004-0000-830154a8f8e4cc5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "830154a8f8e4cc5cf5ad64c85a8385a057f3928e410ed11b2dd25083e927cf7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000724-n000004.json b/manifests/batches/oproofs/s00002-r00000724-n000004.json
index aaf8107902e54a7ee75f613a2009055e6378cc0f..ca6d725ff994eea473853485344fb573f87142ac 100644
--- a/manifests/batches/oproofs/s00002-r00000724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000724-n000004",
   "batch_fingerprint": "72f21fcf234698d7236e9123bbb651478600c35597da2fdbdc9d8314c61a9820",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000724-n000004-0000-607d81a13379099a.parquet",
-      "sha256": "607d81a13379099a8c69301291c9cb766382a6ab9c090c34dd6d138d1fec6ea5",
-      "bytes": 392122,
-      "rows": 21,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000725.lean\",\"c0b456969915ee9952f25629f5c92f52c551d6d3d4e2e0abbdeff15940a6c29c\",0,\"piazzanos_pricing\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000726.lean\",\"af51092f3afd5df4a9d78a2d4adf47bd9fd2a81ba0c6bc2088260b68f2e93104\",0,\"bertolli_farm_yield_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000727.lean\",\"02b707871e61e8742d20dbdb8ca4e3cfa20d1a09565de5eeaa82ee389ce21e2b\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392122,
+      "path": "data/train/pe8/oproofs-s00002-r00000724-n000004-0000-607d81a13379099a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "607d81a13379099a8c69301291c9cb766382a6ab9c090c34dd6d138d1fec6ea5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000728-n000004.json b/manifests/batches/oproofs/s00002-r00000728-n000004.json
index a839ef4b50f5e95a9216cc4979b991e057c10818..247abae7e11bc701554307ebbcdaed25005a8630 100644
--- a/manifests/batches/oproofs/s00002-r00000728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000728-n000004",
   "batch_fingerprint": "5f8c6a19938e5e51e5c0f625741ae1db753262be40fb48476f54ac06e4d0401b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000728-n000004-0000-2ac4316af52693d4.parquet",
-      "sha256": "2ac4316af52693d4df8629c49cd96e88206818537c82e07ea81c1089196ba34c",
-      "bytes": 392210,
-      "rows": 17,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000729.lean\",\"7041e9e6e05b5567223468608cf55388ef521ae9467154206a14ef6ace7beb49\",0,\"gary_paula_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000730.lean\",\"91f99d20db91fae0092bffeb5e3e596f831ab25c13f074bc0458da6d22e9f63c\",0,\"mathd_problem_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000731.lean\",\"1d831dbbf075ba44ff6ba34e37bea63a3958aa703cd4ee85e0b840e3e27a3ef3\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392210,
+      "path": "data/train/p3f/oproofs-s00002-r00000728-n000004-0000-2ac4316af52693d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2ac4316af52693d4df8629c49cd96e88206818537c82e07ea81c1089196ba34c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000732-n000004.json b/manifests/batches/oproofs/s00002-r00000732-n000004.json
index 14560084d43b63a853a58990e3d32175bd3cf9ff..720d1b7eb0dc3eae5e5649d3e2ab33a883215fee 100644
--- a/manifests/batches/oproofs/s00002-r00000732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000732-n000004",
   "batch_fingerprint": "3253568e9a1d0dec24d8f0f5cabab17abc0a93118186bacbd67ee9efeba3298d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000732-n000004-0000-90d7009afaeca1e3.parquet",
-      "sha256": "90d7009afaeca1e3d8cbb7c40e0ff5ebd2cdac67ea4a77507071187a6e7ffe67",
-      "bytes": 226237,
-      "rows": 21,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000733.lean\",\"b5511ddeb60aa934f0380b543e0c95148a8c00ced6a6852434bc0f83ea051cea\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000734.lean\",\"a09871e55b3cd1e91db7cf15c67e50ffb70f87d5992f7ce5807665ea227a720a\",0,\"a_2017_eq_8065\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000735.lean\",\"a7f777b80c258cac45623bf05b8a3819489b424971591a58b36085cf1f0a1d25\",0,\"total_legs_of_dogs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226237,
+      "path": "data/train/pe4/oproofs-s00002-r00000732-n000004-0000-90d7009afaeca1e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "90d7009afaeca1e3d8cbb7c40e0ff5ebd2cdac67ea4a77507071187a6e7ffe67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000736-n000004.json b/manifests/batches/oproofs/s00002-r00000736-n000004.json
index 12025f6dcfaa113b79490a1856ada6effb22bb1f..10383247af1bc430d5dc886dd32d9f15ce0fd242 100644
--- a/manifests/batches/oproofs/s00002-r00000736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000736-n000004",
   "batch_fingerprint": "c375f4ead87b34a55fb048ade200c9d2dd087236861acf5566e6572d9ea2c2c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000736-n000004-0000-d7b09b91e10e3ebd.parquet",
-      "sha256": "d7b09b91e10e3ebdd305fb0cd7af10400500baad9012da3fe45b8985adee946c",
-      "bytes": 238811,
-      "rows": 11,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000736-n000004-0000-185b2cb663b558ae.parquet",
-      "sha256": "185b2cb663b558ae688d1674c7c1f40b9a288aeff5e919359cfb63af022325ec",
-      "bytes": 74922,
-      "rows": 6,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000737.lean\",\"e153ec3fa41e311ecd1a40e52a4aead9a175706ec9cd28f55704b51852e38644\",0,\"A_times_B_eq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000738.lean\",\"3a92067c72598ac5f41c2bbae51efe781f34dacc9bd065f3dd777ea4c826eaa0\",0,\"free_throws_calculated\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000739.lean\",\"fbb1bc32969f2a0b99ba34387e26042eb0f0ba8c576e9df8530db948d28c1664\",0,\"limit_derivative\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238811,
+      "path": "data/train/pbb/oproofs-s00002-r00000736-n000004-0000-d7b09b91e10e3ebd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d7b09b91e10e3ebdd305fb0cd7af10400500baad9012da3fe45b8985adee946c"
+    },
+    {
+      "bytes": 74922,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00000736-n000004-0000-185b2cb663b558ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "185b2cb663b558ae688d1674c7c1f40b9a288aeff5e919359cfb63af022325ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000740-n000004.json b/manifests/batches/oproofs/s00002-r00000740-n000004.json
index 06470c375b23256e086c7e5598ac47a05d03da67..ad3156d7c44cf7c281c794e2995dc74e0ec2713d 100644
--- a/manifests/batches/oproofs/s00002-r00000740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000740-n000004",
   "batch_fingerprint": "6ef8df57a94574f8a16b0db676d3d3d3f6e18a42dec0b801e3a34ed258a22e06",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000740-n000004-0000-42fb8c08bbf60f6c.parquet",
-      "sha256": "42fb8c08bbf60f6cdd1c0b61c6b59b3f5b08fe5ef3b2ce45185d98fc7d6594cf",
-      "bytes": 179244,
-      "rows": 21,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000740-n000004-0000-ea6c0d4bf818b613.parquet",
-      "sha256": "ea6c0d4bf818b61397ed0bb16b7570ee8406f267c210fb12b8e6e2d0f4e9d80f",
-      "bytes": 142500,
-      "rows": 5,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000741.lean\",\"14ff6c460cd653f0bb6892945b7e5a21074dabfd9f55bd1be7d2813c338b48a5\",0,\"least_expensive_travel_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000742.lean\",\"8ddcf9c6050fda0e4406e67a922882d21bba7fc5583f93ae05342ac178dff93a\",0,\"greatest_power_of_three_dividing_nine_pow_seven\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000743.lean\",\"c342b57e2edb14bedb877bfe43aa94f15915e81d1d8c9e41c7b10c9180869d3f\",0,\"area_triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179244,
+      "path": "data/train/p99/oproofs-s00002-r00000740-n000004-0000-42fb8c08bbf60f6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "42fb8c08bbf60f6cdd1c0b61c6b59b3f5b08fe5ef3b2ce45185d98fc7d6594cf"
+    },
+    {
+      "bytes": 142500,
+      "path": "data/internal_test/p99/oproofs-s00002-r00000740-n000004-0000-ea6c0d4bf818b613.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ea6c0d4bf818b61397ed0bb16b7570ee8406f267c210fb12b8e6e2d0f4e9d80f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000744-n000004.json b/manifests/batches/oproofs/s00002-r00000744-n000004.json
index 8ed159499f62c8c06a5879d69aacfb1180f26fa9..d5166876c419a000128cfd44f554199fb0a97072 100644
--- a/manifests/batches/oproofs/s00002-r00000744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000744-n000004",
   "batch_fingerprint": "aae4ea38a6619a32bcc595d3eebb1b0a04f67f7b4e45475e9e3b09ea24dd0160",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000744-n000004-0000-389a548e7d0064e3.parquet",
-      "sha256": "389a548e7d0064e39eed131cbea07e13084489e5a809ce677ec55b741a3c906d",
-      "bytes": 1470330,
-      "rows": 20,
-      "revision": "9b716851766e717a422b3e06352db52606ff253c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000744-n000004-0001-3a3cc300404392d1.parquet",
-      "sha256": "3a3cc300404392d1adf0592d22b19c20cc8cbd8f66a823a6308047014d538b99",
-      "bytes": 846500,
-      "rows": 11,
-      "revision": "9b716851766e717a422b3e06352db52606ff253c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000745.lean\",\"2592552999756fa8f97dabc128875003bf08e9a17d80efe1f0f989cde11c15fe\",0,\"example8\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000746.lean\",\"92a0160750052550a5aeb2199b1c5a4da4f165c5945f8d16eb200ef81d0fc623\",0,\"min_perimeter\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000747.lean\",\"31b271c725bb3589c2318f81f00c4b59fe3fbdc4996ee92ce9909603be549372\",0,\"max_angle_B_in_geometric_sequence_triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1470330,
+      "path": "data/train/p32/oproofs-s00002-r00000744-n000004-0000-389a548e7d0064e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "389a548e7d0064e39eed131cbea07e13084489e5a809ce677ec55b741a3c906d"
+    },
+    {
+      "bytes": 846500,
+      "path": "data/train/p32/oproofs-s00002-r00000744-n000004-0001-3a3cc300404392d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3a3cc300404392d1adf0592d22b19c20cc8cbd8f66a823a6308047014d538b99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000748-n000004.json b/manifests/batches/oproofs/s00002-r00000748-n000004.json
index 231ba6302385c138bf3911dcfdb71df929708b50..020eff542b5bfbca597496cff150980389dd3c5f 100644
--- a/manifests/batches/oproofs/s00002-r00000748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000748-n000004",
   "batch_fingerprint": "306581b06a9c13c931bc72a7c29df8c9ab2d9cff654c304d661591dd0dab3d16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000748-n000004-0000-11aff22c018196b8.parquet",
-      "sha256": "11aff22c018196b86b8ad5bc912069aa0f417d1960631f75cf50770564885da1",
-      "bytes": 371515,
-      "rows": 15,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000748-n000004-0000-75673b3008a94a4d.parquet",
-      "sha256": "75673b3008a94a4dd46fd93ac7524992d680fc07e5e2f24a28a455add15d494c",
-      "bytes": 276790,
-      "rows": 8,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000749.lean\",\"01806373f15d40427baad1e981bee6a348c4f9b0e5526e9b8581436555b38ff0\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000750.lean\",\"d592c7c29a591a5a7c45299bf8d6b41fa3700778de75b78f389e823f8d2c8d35\",0,\"lean_workbook_17129\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000751.lean\",\"edead847968efb8f1f4b310c4ec8b9d30d44abc9c34779d4c3069a220deb70b4\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371515,
+      "path": "data/train/pb7/oproofs-s00002-r00000748-n000004-0000-11aff22c018196b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "11aff22c018196b86b8ad5bc912069aa0f417d1960631f75cf50770564885da1"
+    },
+    {
+      "bytes": 276790,
+      "path": "data/dev/pb7/oproofs-s00002-r00000748-n000004-0000-75673b3008a94a4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "75673b3008a94a4dd46fd93ac7524992d680fc07e5e2f24a28a455add15d494c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000752-n000004.json b/manifests/batches/oproofs/s00002-r00000752-n000004.json
index c8c6e1679c055e48d67cbdd1775647acd37ff522..d040d53312a6ccd26b1a42035b6bbe6d93cd23f0 100644
--- a/manifests/batches/oproofs/s00002-r00000752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000752-n000004",
   "batch_fingerprint": "7a5a3b9a2f39d9539872574c07fd0171e59177683324954c3195cd84cc911199",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000752-n000004-0000-52e3077eb3d8e31b.parquet",
-      "sha256": "52e3077eb3d8e31b685bfeef732b640828919545f0e05dedfb84c42f26c96620",
-      "bytes": 892520,
-      "rows": 13,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000752-n000004-0000-7291f8d21f26dc1a.parquet",
-      "sha256": "7291f8d21f26dc1acc6b4fb9c6c5906c326c550187849bf8af000ec6331081d5",
-      "bytes": 117580,
-      "rows": 3,
-      "revision": "dae20f4c16e6318a135ba6d5d79df4740fe0556a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000753.lean\",\"5e8247deb1c17dc65174810b1e528572c0ed8d4fd92e1b8cf63eab52f35c2ccd\",0,\"lean_workbook_plus_20622\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000754.lean\",\"5659e656c3da83baebc8c98da0154c466c464c8301d65ef2f098b9e63abb5d1f\",0,\"CubicFunction\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000755.lean\",\"09b0cd67afcda6c9f7446d9211e01bb4d1363d5eed5e5309b7450adb4edab668\",0,\"p_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 892520,
+      "path": "data/train/p02/oproofs-s00002-r00000752-n000004-0000-52e3077eb3d8e31b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "52e3077eb3d8e31b685bfeef732b640828919545f0e05dedfb84c42f26c96620"
+    },
+    {
+      "bytes": 117580,
+      "path": "data/dev/p02/oproofs-s00002-r00000752-n000004-0000-7291f8d21f26dc1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7291f8d21f26dc1acc6b4fb9c6c5906c326c550187849bf8af000ec6331081d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000756-n000004.json b/manifests/batches/oproofs/s00002-r00000756-n000004.json
index 2e6a93e83b7d590c18c2f8440ec126204f1373ad..3fc8d3388d66c8890cf257e2d5cb5a6993389287 100644
--- a/manifests/batches/oproofs/s00002-r00000756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000756-n000004",
   "batch_fingerprint": "5778ec022da4d672db001407f68838532425ed53c0641fa40cee437d531720d0",
   "evidence": {
@@ -80,19 +79,20 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000756-n000004-0000-cc14f6f2fcef4371.parquet",
-      "sha256": "cc14f6f2fcef437184c2cb4e5bd7c6f2e3b032f6b7ff6733da2f34aae482f01d",
-      "bytes": 249781,
-      "rows": 2,
-      "revision": "903a1d9d18c7076fa496223098912205a69c657b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:757"
   ],
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000757.lean\",\"30630f280d2167acbc4acf6bf0114ac2f81667084dd1d2f2422bee40c7c44c82\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249781,
+      "path": "data/train/p33/oproofs-s00002-r00000756-n000004-0000-cc14f6f2fcef4371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cc14f6f2fcef437184c2cb4e5bd7c6f2e3b032f6b7ff6733da2f34aae482f01d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000760-n000004.json b/manifests/batches/oproofs/s00002-r00000760-n000004.json
index 15ec463f96d18b71d3c10e78458a7cd11719ab70..3ddbec0e94e483f1983cbf76b9ff89603aa7059e 100644
--- a/manifests/batches/oproofs/s00002-r00000760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000760-n000004",
   "batch_fingerprint": "0288bc301c4b8937fa80c9d435ae7f94eb94f6a43d37c4a06d5d6e663bc518d6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:760",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:761",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:762",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:763"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000760.lean\",\"064e218051ad0b7e7aef5cd75ee75f3c82b9f7f284e5d5f081a15086c280db1d\",0,\"shortest_distance_between_circles\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000761.lean\",\"9458eb3bf7eecdf0b17ce5f5151d837b90e6d2b290331a3604285e2972f8c716\",0,\"inventory_change\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000762.lean\",\"43cb190791277000d8e07aeb70ede1df4fb9997cb6f2c4c730e01912b20c199d\",0,\"sum_sqrt_reciprocal_geometric_sequence\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000763.lean\",\"a80d61fa26e8ab251668dfd54cf0cde9fcba5a92ae4118306031fd9a6b955c85\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000760-n000004-0000-481e88990d86cefc.parquet",
-      "sha256": "481e88990d86cefcd75948ec73b278ea5fa67a3acc0396f219731811492894b3",
       "bytes": 71879,
+      "path": "data/train/p18/oproofs-s00002-r00000760-n000004-0000-481e88990d86cefc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "481e88990d86cefcd75948ec73b278ea5fa67a3acc0396f219731811492894b3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000760-n000004-0000-e9db24ae9420e2ff.parquet",
-      "sha256": "e9db24ae9420e2ffb815485dad2f4bab7c07ef8e3f273ae6618b873471379447",
       "bytes": 83375,
+      "path": "data/dev/p18/oproofs-s00002-r00000760-n000004-0000-e9db24ae9420e2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "e9db24ae9420e2ffb815485dad2f4bab7c07ef8e3f273ae6618b873471379447"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000760-n000004-0000-4b854a9cf1b9246c.parquet",
-      "sha256": "4b854a9cf1b9246c8349f64426392d5e40f03ab86a34f91774b873d0c01029c1",
       "bytes": 228720,
+      "path": "data/internal_test/p18/oproofs-s00002-r00000760-n000004-0000-4b854a9cf1b9246c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
+      "sha256": "4b854a9cf1b9246c8349f64426392d5e40f03ab86a34f91774b873d0c01029c1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:760",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:761",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:762",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:763"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000760.lean\",\"064e218051ad0b7e7aef5cd75ee75f3c82b9f7f284e5d5f081a15086c280db1d\",0,\"shortest_distance_between_circles\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000761.lean\",\"9458eb3bf7eecdf0b17ce5f5151d837b90e6d2b290331a3604285e2972f8c716\",0,\"inventory_change\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000762.lean\",\"43cb190791277000d8e07aeb70ede1df4fb9997cb6f2c4c730e01912b20c199d\",0,\"sum_sqrt_reciprocal_geometric_sequence\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000763.lean\",\"a80d61fa26e8ab251668dfd54cf0cde9fcba5a92ae4118306031fd9a6b955c85\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000764-n000004.json b/manifests/batches/oproofs/s00002-r00000764-n000004.json
index 1189856adbaeb47e35a0d8e53cbc6146ecbfaee0..44dff887746740275c1cc8de826cfd7a2be8377d 100644
--- a/manifests/batches/oproofs/s00002-r00000764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000764-n000004",
   "batch_fingerprint": "8ecbb9473c11a128312554f4218d694bce112948f28dca6e215b2c84f477eced",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000764-n000004-0000-da869e393392aef1.parquet",
-      "sha256": "da869e393392aef1a4ee75ca07036e0d7decce415fe7c02dcc49ca51a5dfb44f",
-      "bytes": 180007,
-      "rows": 15,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000764-n000004-0000-615744bf796f3a02.parquet",
-      "sha256": "615744bf796f3a02a6c8edc9038edeafb13339c8499c199b8fc0f0eaa5c2b6ac",
-      "bytes": 115475,
-      "rows": 8,
-      "revision": "1cd2bfad725a250a90fb3ac7d9736d12c4febb0d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000765.lean\",\"a10f4a39b8a7a9dc21ec11fef720eebf88a545f3a0a93a2c4c555bf03a2bfa83\",0,\"problem_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000766.lean\",\"44112333e55af615973e26f462b78c58903876a42a47791242f478f12db17541\",0,\"revenue_decrease\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000767.lean\",\"b7e27d31024ba12be7d2000e35583678959ec8a8e121c1c00aeaccded58103a1\",0,\"a_2019_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180007,
+      "path": "data/train/p37/oproofs-s00002-r00000764-n000004-0000-da869e393392aef1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "da869e393392aef1a4ee75ca07036e0d7decce415fe7c02dcc49ca51a5dfb44f"
+    },
+    {
+      "bytes": 115475,
+      "path": "data/dev/p37/oproofs-s00002-r00000764-n000004-0000-615744bf796f3a02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "615744bf796f3a02a6c8edc9038edeafb13339c8499c199b8fc0f0eaa5c2b6ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000768-n000004.json b/manifests/batches/oproofs/s00002-r00000768-n000004.json
index 8a603a3813ddc0982851f07cca5b95e61249eb69..21509c6c8dac7efd1eacc838d18beb61b3ef3b80 100644
--- a/manifests/batches/oproofs/s00002-r00000768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000768-n000004",
   "batch_fingerprint": "e2f8001126cdc74eb9fe7cc0b4ea779aac4717379ed06b4f9e9c70d874532238",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000768-n000004-0000-8a0480251af55c11.parquet",
-      "sha256": "8a0480251af55c118caa2c0a0bce23d598ea0cfbaad59ac067a8af525237a5bd",
-      "bytes": 438897,
-      "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000769.lean\",\"d22886c4eed613ef54860f5c586ff3580b29c2c61edc76cbc2ce187643d86802\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000770.lean\",\"458782b4e91b781f00d29ad41151f9582122b162165a3b158c3c30bd5fed8694\",0,\"piazzanos_pricing\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000771.lean\",\"7d2fe9acd0d6055c582b4807e9d69e923ff006d44abc0466d61531a7c5528018\",0,\"min_omega_shift\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438897,
+      "path": "data/train/p16/oproofs-s00002-r00000768-n000004-0000-8a0480251af55c11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8a0480251af55c118caa2c0a0bce23d598ea0cfbaad59ac067a8af525237a5bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000772-n000004.json b/manifests/batches/oproofs/s00002-r00000772-n000004.json
index e0c00003671fe8ce752375ed6f2bd79c9c813db6..65e2c9a7c7ae1b9c88367c2887499c133be12d89 100644
--- a/manifests/batches/oproofs/s00002-r00000772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000772-n000004",
   "batch_fingerprint": "e3bd08fbf24afc7776f65646ed9d1a0c448e07b9fa31f9bcea4e23a02bb45006",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000772-n000004-0000-0df1b78534ccc49c.parquet",
-      "sha256": "0df1b78534ccc49cb5b839c0b0af4296cc7bee4e8385c412d5472dc850c2f0f5",
-      "bytes": 117509,
-      "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000772-n000004-0000-88234d494657edf5.parquet",
-      "sha256": "88234d494657edf530ed874d66cfbe8d124efabc6c1ef1bdd0a699abeb867bbe",
-      "bytes": 67535,
-      "rows": 4,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:773",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000773.lean\",\"cdabf222167325a52141de5e8a1df54cb98a05a5c1d372cbb8e3611fb70ec40c\",0,\"area_quadrilateral\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000774.lean\",\"2357249fa02209c4957fe3cde5fd538658d5521ae8207fec08a72757de2edf63\",0,\"shaded_areas\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000775.lean\",\"e4a37c948769f643eac4c7b4e5f998f886fea569b17d9cf42783bc93d0f49c35\",0,\"x_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117509,
+      "path": "data/train/pc1/oproofs-s00002-r00000772-n000004-0000-0df1b78534ccc49c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0df1b78534ccc49cb5b839c0b0af4296cc7bee4e8385c412d5472dc850c2f0f5"
+    },
+    {
+      "bytes": 67535,
+      "path": "data/internal_test/pc1/oproofs-s00002-r00000772-n000004-0000-88234d494657edf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "88234d494657edf530ed874d66cfbe8d124efabc6c1ef1bdd0a699abeb867bbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000776-n000004.json b/manifests/batches/oproofs/s00002-r00000776-n000004.json
index dcc24c9598edfac9dd17c5901c6bbe70ea6164ba..98dfd068bcb6fd21383b1be3d535fc0c8a75a751 100644
--- a/manifests/batches/oproofs/s00002-r00000776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000776-n000004",
   "batch_fingerprint": "b548f034cd2a44a585109bc62cf5d5de174b1f15558d59d31831f48a9d4ada12",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000776-n000004-0000-6ec9b5bc28ca5335.parquet",
-      "sha256": "6ec9b5bc28ca533591e2ff7f43616385164134f8484121ad451bc53170e38da6",
-      "bytes": 291327,
-      "rows": 15,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000777.lean\",\"137a854a30270baed7d6906e637a3d7533f7db9253052ca9c2091624896c49d0\",0,\"gary_paula_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000778.lean\",\"a0e360d399738423cb0536aec311ab5eb3c983c3bffc484b08e1eba6406694c6\",0,\"probability_of_selecting_letter_in_theory\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000779.lean\",\"e0277f50e42af5b6042c58c84a9cf98c544810b6961c8e9af08e89ac8e9f47a6\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291327,
+      "path": "data/train/p28/oproofs-s00002-r00000776-n000004-0000-6ec9b5bc28ca5335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6ec9b5bc28ca533591e2ff7f43616385164134f8484121ad451bc53170e38da6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000780-n000004.json b/manifests/batches/oproofs/s00002-r00000780-n000004.json
index 81d98f9eff6bbeae9ea489ed3740037bee4886cc..2e967ecc0b3512e175e84da44b98ae516d5c95c3 100644
--- a/manifests/batches/oproofs/s00002-r00000780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000780-n000004",
   "batch_fingerprint": "b1cfe5f18c67c999d9dd3d427fac83ba915349ec5d7ee0dbc0b67cd0442b0f3e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000780-n000004-0000-470dfded93a55fa9.parquet",
-      "sha256": "470dfded93a55fa9b88919e882609548fb03c54faa3976cc4cdeafc545103a4e",
-      "bytes": 145652,
-      "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000781.lean\",\"e83b0d18f1585ffb66873fc7fa1c950465ae0dfb87680b03f8a2411c3f15d976\",0,\"total_legs_of_dogs\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000782.lean\",\"557e0ed8b1c02bf2a1b155dbc446c48da55f7eeb17f13a98bf70b6b2b7a899fa\",0,\"tammy_runs_5_loops_per_day\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000783.lean\",\"9baebb9a53b1dc296757e2de61ce3ab938d79843ad1a697d78a246728f846ec7\",0,\"problem_2021st_term_last_three_digits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145652,
+      "path": "data/train/p6e/oproofs-s00002-r00000780-n000004-0000-470dfded93a55fa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "470dfded93a55fa9b88919e882609548fb03c54faa3976cc4cdeafc545103a4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000784-n000004.json b/manifests/batches/oproofs/s00002-r00000784-n000004.json
index b085b817156cae8d124e379492c8442b90901342..7b1dd0e3c051d3aa4012b1d73caedd26da3b6d43 100644
--- a/manifests/batches/oproofs/s00002-r00000784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000784-n000004",
   "batch_fingerprint": "153aa718b4e8e6e3d172f529d90fe576e85bbc5f83f9ca5f0b7e19a022ef7833",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000784-n000004-0000-2105223789068aef.parquet",
-      "sha256": "2105223789068aefec543e7a3842c3a667b720ff38011a54f7f55e868e016716",
-      "bytes": 297985,
-      "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000784-n000004-0000-a16a8b095c45156d.parquet",
-      "sha256": "a16a8b095c45156db8098e194d31b9ffd594e775727631f47ee78290be2a83c1",
-      "bytes": 78742,
-      "rows": 6,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:785",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000785.lean\",\"dccc99ee802ef724b5bebaecca40f3e0f78b9e82026a453fc0d75d3e47604170\",0,\"shortest_distance_to_line_segment\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000786.lean\",\"50053b3ef94c41e35d0736c48a8108a818ecf66ba891df9be2fa123fae54637a\",0,\"least_expensive_travel_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000787.lean\",\"530a11604b3d1775491a5ef11d58fbb2014faff1e3875986dc1d49b11c7fe64e\",0,\"greatest_power_of_three_dividing_nine_pow_seven\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297985,
+      "path": "data/train/p7a/oproofs-s00002-r00000784-n000004-0000-2105223789068aef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2105223789068aefec543e7a3842c3a667b720ff38011a54f7f55e868e016716"
+    },
+    {
+      "bytes": 78742,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00000784-n000004-0000-a16a8b095c45156d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a16a8b095c45156db8098e194d31b9ffd594e775727631f47ee78290be2a83c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000788-n000004.json b/manifests/batches/oproofs/s00002-r00000788-n000004.json
index 074e952ed56182a6eb2cf9bad9b02f9cb5887359..2717c03949a6e0f66e1e56bc0eca6291a6f09b7e 100644
--- a/manifests/batches/oproofs/s00002-r00000788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000788-n000004",
   "batch_fingerprint": "bcc66479ca298369ab830b1bd0ba632f946ada9ed8f9fdb432f54544939d9a74",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000788-n000004-0000-9131355453a0ecd7.parquet",
-      "sha256": "9131355453a0ecd7e9ddce30ccad053a0d39346ad56cdd7ab07262174b241f4c",
-      "bytes": 211129,
-      "rows": 19,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000789.lean\",\"1069463e4018f7cb16d7ef95d5807f66cade6d7c499d836e6113f21fa3eb51bb\",0,\"total_sessions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000790.lean\",\"6b42d13f4a5079a3c90d892d4f2af2b8963f8e2c97481f10cb6f063199783854\",0,\"cone_volume_and_surface_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000791.lean\",\"feddd2afb854fdb1eea116eb395fac0caeb005f87e6455d7a0d8a0e1cefdcc03\",0,\"is_even\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211129,
+      "path": "data/train/p8a/oproofs-s00002-r00000788-n000004-0000-9131355453a0ecd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9131355453a0ecd7e9ddce30ccad053a0d39346ad56cdd7ab07262174b241f4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000792-n000004.json b/manifests/batches/oproofs/s00002-r00000792-n000004.json
index 6eed731333e8f6fd0bda2a36b755734fa7eda36f..f0da5277a4798ea138c462807b19335d20bfe9f1 100644
--- a/manifests/batches/oproofs/s00002-r00000792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000792-n000004",
   "batch_fingerprint": "ce8f4965d6fcdeda9ddb32c86cf04f333568347ceb39598d3a655eab6fd25d46",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000792-n000004-0000-2738b35329de9820.parquet",
-      "sha256": "2738b35329de98208c00ce0057a229410304e90ab2ae3a49e0122b122445791c",
-      "bytes": 735882,
-      "rows": 27,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000792-n000004-0001-5b29469cbc8f23d4.parquet",
-      "sha256": "5b29469cbc8f23d48d2d2b605e15088cc8920b95d6696c3a4913a75c5650160b",
-      "bytes": 891658,
-      "rows": 14,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:793",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000793.lean\",\"ec0886b4a54dd19638f6c52fd216c9c229aaf33699b3711a1fd030c5fd7ba904\",0,\"min_perimeter\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000794.lean\",\"ff1bb568739388eada9f83da0096e2b3a1b26593f7b5649918c3896d0f982fad\",0,\"max_angle_B_in_geometric_sequence_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000795.lean\",\"9c30e9bf05ca272e70d615346d1998a1533d3cfd2bcdd8c1142f74f5d98ed7a3\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 735882,
+      "path": "data/train/pce/oproofs-s00002-r00000792-n000004-0000-2738b35329de9820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2738b35329de98208c00ce0057a229410304e90ab2ae3a49e0122b122445791c"
+    },
+    {
+      "bytes": 891658,
+      "path": "data/train/pce/oproofs-s00002-r00000792-n000004-0001-5b29469cbc8f23d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5b29469cbc8f23d48d2d2b605e15088cc8920b95d6696c3a4913a75c5650160b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000796-n000004.json b/manifests/batches/oproofs/s00002-r00000796-n000004.json
index b8f1bb4d167547406eb005a07cd1dd915d31cac4..7196bb83ef5023da3581a1ce972b7d9cf98d5f09 100644
--- a/manifests/batches/oproofs/s00002-r00000796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000796-n000004",
   "batch_fingerprint": "f9e31f1c7bafe9e6831ac820278dab1211e26a1f79e092d362b26442ed9eaf63",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000796-n000004-0000-8b7cb7eccc498ff6.parquet",
-      "sha256": "8b7cb7eccc498ff63b4f9ac0abc12cd1ac3d0671e29ed3bfafa743e4933ad7e1",
-      "bytes": 194595,
-      "rows": 11,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000796-n000004-0000-446b0ebaebe15a74.parquet",
-      "sha256": "446b0ebaebe15a74ed3c5547639f0cf9e203985d5b763db53e9d0c6e40c617ce",
-      "bytes": 456625,
-      "rows": 14,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000797.lean\",\"7ea00c80840997bf1540ab36458fd1db2f81936f964f3f5092c0a715496a794f\",0,\"lean_workbook_plus_20622\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000798.lean\",\"f60d87eedfbcbbc9e0e17c2a4a81c5e0fff67d3a8bb3e4c6d47c78ce84e522d2\",0,\"lean_workbook_plus_35375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000799.lean\",\"7de054bd8173cc28ff118355e8c3f942992c23535f47df42f9056e6bef1d0985\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194595,
+      "path": "data/train/p70/oproofs-s00002-r00000796-n000004-0000-8b7cb7eccc498ff6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8b7cb7eccc498ff63b4f9ac0abc12cd1ac3d0671e29ed3bfafa743e4933ad7e1"
+    },
+    {
+      "bytes": 456625,
+      "path": "data/dev/p70/oproofs-s00002-r00000796-n000004-0000-446b0ebaebe15a74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "446b0ebaebe15a74ed3c5547639f0cf9e203985d5b763db53e9d0c6e40c617ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000800-n000004.json b/manifests/batches/oproofs/s00002-r00000800-n000004.json
index 2cdbd8b3426b87204deb8ac5b0fc042e2ab1619a..568a9bb858355d9b1f87c7da6a3a86236c998e43 100644
--- a/manifests/batches/oproofs/s00002-r00000800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000800-n000004",
   "batch_fingerprint": "0c9c7386ab530910e5589fb9d164d88994adbb4708671d99e9fc19e0234c6302",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000800-n000004-0000-4b97125730b9a865.parquet",
-      "sha256": "4b97125730b9a865d08f4bd862f2fd58ba93c594142e7d8083ed4dee19bf60b0",
-      "bytes": 890214,
-      "rows": 21,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000801.lean\",\"aac6647f85a8de4212001a4e9f42026722533fb9aeeb04fbfaea89b1b01bd91d\",0,\"algebra_486974\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000802.lean\",\"e28ef15d0169040ffc89d3515545d3a1d15832ae6247a14818fad700c3533965\",0,\"largest_constant_k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000803.lean\",\"09c03bd08c4798511518df9b13ad4861ceeac391c37be8d6fec596b12f69e77d\",0,\"algebra_480921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 890214,
+      "path": "data/train/p0c/oproofs-s00002-r00000800-n000004-0000-4b97125730b9a865.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4b97125730b9a865d08f4bd862f2fd58ba93c594142e7d8083ed4dee19bf60b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000804-n000004.json b/manifests/batches/oproofs/s00002-r00000804-n000004.json
index bd397b2dcdfdbed0427d7a25658f880b4689ed89..d4832fe780245cf0837d4f54a7d9583bf165cec8 100644
--- a/manifests/batches/oproofs/s00002-r00000804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000804-n000004",
   "batch_fingerprint": "fe9e28f9e147d84407ed5146f57390c7ee911805387ca3d4314b87d814e6222a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:804",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:805",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:806",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:807"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000804.lean\",\"f203c64aa9fbabe5cf715950e6b9b9ac27bec357b81adb4a831ceb1fdb55ae05\",0,\"percentage_difference_and_adjustment\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000805.lean\",\"6866c52f2b19fb83f31ced44740126cb644e5d419bb40b482849252bb4be5167\",0,\"grape_juice_percentage\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000806.lean\",\"34cb14b55c38a714608ede9e44df45c0ead5f09bfbfe945cc3c81f1e5157baca\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000807.lean\",\"2d05f56f6fc3594aa50643e1fe4d6a1e4e2e999b5e608d89a3c6db25d64c2434\",0,\"final_count\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000804-n000004-0000-17b9fbba59c55624.parquet",
-      "sha256": "17b9fbba59c55624d7d0d228605f4877050c516b6ecf636c779ed66e86058a61",
       "bytes": 52450,
+      "path": "data/train/pc7/oproofs-s00002-r00000804-n000004-0000-17b9fbba59c55624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "17b9fbba59c55624d7d0d228605f4877050c516b6ecf636c779ed66e86058a61"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000804-n000004-0000-e4a0f8ba84a5b9bd.parquet",
-      "sha256": "e4a0f8ba84a5b9bd88b20cbd1d2b35536ba5ec1581055c0c53517002825aaa73",
       "bytes": 90248,
+      "path": "data/dev/pc7/oproofs-s00002-r00000804-n000004-0000-e4a0f8ba84a5b9bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "e4a0f8ba84a5b9bd88b20cbd1d2b35536ba5ec1581055c0c53517002825aaa73"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000804-n000004-0000-7e65a7220db47829.parquet",
-      "sha256": "7e65a7220db4782961803e2f2775b39eba9dbaaa917c8733341f557bd12bc0c3",
       "bytes": 827567,
+      "path": "data/internal_test/pc7/oproofs-s00002-r00000804-n000004-0000-7e65a7220db47829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "7e65a7220db4782961803e2f2775b39eba9dbaaa917c8733341f557bd12bc0c3"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:804",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:805",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:806",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:807"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000804.lean\",\"f203c64aa9fbabe5cf715950e6b9b9ac27bec357b81adb4a831ceb1fdb55ae05\",0,\"percentage_difference_and_adjustment\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000805.lean\",\"6866c52f2b19fb83f31ced44740126cb644e5d419bb40b482849252bb4be5167\",0,\"grape_juice_percentage\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000806.lean\",\"34cb14b55c38a714608ede9e44df45c0ead5f09bfbfe945cc3c81f1e5157baca\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000807.lean\",\"2d05f56f6fc3594aa50643e1fe4d6a1e4e2e999b5e608d89a3c6db25d64c2434\",0,\"final_count\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000808-n000004.json b/manifests/batches/oproofs/s00002-r00000808-n000004.json
index f26217f18e9b5c360a5a4dadca691875675af517..3b896c494abb22c587046d74b2eb9aa1f5033dab 100644
--- a/manifests/batches/oproofs/s00002-r00000808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000808-n000004",
   "batch_fingerprint": "87b39fd9fcf67db6a2f7daab65f28eaa40a34880054ef51531894515f1bc4d4a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000808-n000004-0000-68c2e4da6a0530c7.parquet",
-      "sha256": "68c2e4da6a0530c727c671312badc740e6d73128b3043bcd7941bfaeccc24262",
-      "bytes": 248414,
-      "rows": 15,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000809.lean\",\"419490c31e617dded299d1270762f53665d6c78a4bf9ed29bd33e55b7547aacd\",0,\"a_2019_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000810.lean\",\"342dcfdb0c3eb4c0d3546966f0799645558373e2e96154d581d75b9e819aeaec\",0,\"value_range_of_function\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000811.lean\",\"ac31d039982edba249743c903cecf483cf016a57de117e56b77c24ff65296fc6\",0,\"piazzanos_pricing\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248414,
+      "path": "data/train/pdd/oproofs-s00002-r00000808-n000004-0000-68c2e4da6a0530c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "68c2e4da6a0530c727c671312badc740e6d73128b3043bcd7941bfaeccc24262"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000812-n000004.json b/manifests/batches/oproofs/s00002-r00000812-n000004.json
index c5d3e7934dfb8ca65cfad74c7e097338d0cc8656..c0884b3c0b154bda30296e7b58bf969e926c6c46 100644
--- a/manifests/batches/oproofs/s00002-r00000812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000812-n000004",
   "batch_fingerprint": "e97866780e86e8bed864aa3c1214ac25a6964549a31f0b38f0942c5badf84d76",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000812-n000004-0000-5bce2ffdfafdab89.parquet",
-      "sha256": "5bce2ffdfafdab898a48472cb5b2e5f21fed32a42c9753d7a9dbd250a0a98d8a",
-      "bytes": 470062,
-      "rows": 15,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000813.lean\",\"c9fa07238f73ad26c679c13d8751410d295737efe5746f22cbee3f3cc506a1ad\",0,\"shaded_areas\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000814.lean\",\"aa0576b4c5a3a73a82be0e841ad58deb39e10313fb51326a0f59456543381e52\",0,\"johns_average_speed\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000815.lean\",\"1b495896eba0fc17de51a22a558f28f9a3e5510e785fb184e0857d4f283bb2ae\",0,\"min_omega_shift\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470062,
+      "path": "data/train/pf2/oproofs-s00002-r00000812-n000004-0000-5bce2ffdfafdab89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5bce2ffdfafdab898a48472cb5b2e5f21fed32a42c9753d7a9dbd250a0a98d8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000816-n000004.json b/manifests/batches/oproofs/s00002-r00000816-n000004.json
index 13140a27590d57ec29afbdb46fe8a5833e991541..24b3a438d5e2fc4b423222595be2e171247799b5 100644
--- a/manifests/batches/oproofs/s00002-r00000816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000816-n000004",
   "batch_fingerprint": "485e60a0bebeacec0087ce48cd2bb33dbe0efff2981cb9e92243bc9dc277a7ba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000816-n000004-0000-d25ea928d7b94eb7.parquet",
-      "sha256": "d25ea928d7b94eb7d79083ecc3da9ffbef2e7b0e25771ec4f3b58f3fc7b4bfce",
-      "bytes": 247798,
-      "rows": 16,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000817.lean\",\"c9e16e2d02f8ba0eff6c36ec7a0c449ca2d540b93ad1bc83064d26f75ff9b7cc\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000818.lean\",\"ab34840412c1d8f6156530ac3f42b07d75f593495c48a48e0215a9ce2e96c046\",0,\"mathd_problem_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000819.lean\",\"2482cc3399bbf8259485c460267253dd7f55fbc512d4fc2cf2be179f597d2aef\",0,\"problem_2021st_term_last_three_digits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247798,
+      "path": "data/train/pfb/oproofs-s00002-r00000816-n000004-0000-d25ea928d7b94eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d25ea928d7b94eb7d79083ecc3da9ffbef2e7b0e25771ec4f3b58f3fc7b4bfce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000820-n000004.json b/manifests/batches/oproofs/s00002-r00000820-n000004.json
index f98ef3f574a00281d8bbceadac1ae49971f4f902..dbd5e3f385c0a0731594ec38cf1be2603fc971d3 100644
--- a/manifests/batches/oproofs/s00002-r00000820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000820-n000004",
   "batch_fingerprint": "f9efafd5f8428bd0f7d2754ab955000e6b89c2fb8c62adac5da1425d946c81e0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000820-n000004-0000-4edf519af25c9514.parquet",
-      "sha256": "4edf519af25c95142a771c15f9bc447fe0008f3b1f4d94c549dcbc9a30e69832",
-      "bytes": 189406,
-      "rows": 9,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000820-n000004-0000-3be8e91bbcd78f0b.parquet",
-      "sha256": "3be8e91bbcd78f0b2e4b56fa1cf488945ddfaeda8177cd1e699a1768cedc0478",
-      "bytes": 113333,
-      "rows": 13,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:821",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000821.lean\",\"096fb05d1d1e9eb583637d4ada8557a7edbe1dbd9aa5ba777032cce3e23eda99\",0,\"limit_derivative\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000822.lean\",\"69ee901e9a4bfd499e49d0b49906f85af8f2ac890123afa3150bf8420e60c29a\",0,\"least_expensive_travel_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000823.lean\",\"8e258430ba47bcbd6dd86abb0f97413e33b8aceff6bf0aa4ed2faec6c12a9aa1\",0,\"greatest_power_of_three_dividing_nine_pow_seven\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189406,
+      "path": "data/train/p84/oproofs-s00002-r00000820-n000004-0000-4edf519af25c9514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4edf519af25c95142a771c15f9bc447fe0008f3b1f4d94c549dcbc9a30e69832"
+    },
+    {
+      "bytes": 113333,
+      "path": "data/internal_test/p84/oproofs-s00002-r00000820-n000004-0000-3be8e91bbcd78f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3be8e91bbcd78f0b2e4b56fa1cf488945ddfaeda8177cd1e699a1768cedc0478"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000824-n000004.json b/manifests/batches/oproofs/s00002-r00000824-n000004.json
index e78671c63c65963da034f06abedd3412127f9caa..a165e01f887a3e05b580022d9a7df07f6c0e8bb8 100644
--- a/manifests/batches/oproofs/s00002-r00000824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000824-n000004",
   "batch_fingerprint": "ec82989f49f13e696852e0929a24ce990e121ba5447c6fcd9ae5058182f7134e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:824",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:825",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:826",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:827"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000824.lean\",\"397a6d1459de5dc66f9537c748fe923802b93fe3a9bbbdb787ee9190f54b3b2e\",0,\"theorem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000825.lean\",\"74201941911ddf916365ab7b5b90a430ac863072d579c7618ff04d79cb4c8bb9\",0,\"problem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000826.lean\",\"ae219f9ea2f9ebcba192b2f411781f061f554908e8973276cac94f4e7fb9b705\",0,\"c_value\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000827.lean\",\"1dfc0551f432a391bbdd7eced96e5436ce791164aed140a0f9d043c752fab49a\",0,\"area_triangle\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000824-n000004-0000-29d0e17591e18390.parquet",
-      "sha256": "29d0e17591e183900e3bd70cf7c8c21c522c2fd7b741f10d65e81b3f7b2a78e8",
       "bytes": 1334051,
+      "path": "data/train/p08/oproofs-s00002-r00000824-n000004-0000-29d0e17591e18390.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
+      "sha256": "29d0e17591e183900e3bd70cf7c8c21c522c2fd7b741f10d65e81b3f7b2a78e8"
     },
     {
-      "path": "data/train/oproofs-s00002-r00000824-n000004-0001-b0aca6789e5c2aa4.parquet",
-      "sha256": "b0aca6789e5c2aa4d07a228847c5062fa74b88c7f2f0aa6edaa32a63f9708c06",
       "bytes": 221646,
+      "path": "data/train/p08/oproofs-s00002-r00000824-n000004-0001-b0aca6789e5c2aa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
+      "sha256": "b0aca6789e5c2aa4d07a228847c5062fa74b88c7f2f0aa6edaa32a63f9708c06"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000824-n000004-0000-a25609a3e79dc42d.parquet",
-      "sha256": "a25609a3e79dc42d2c768e6e740f964702d5d1e53bbf9a20b3e5a33e9ae0bf10",
       "bytes": 239567,
+      "path": "data/internal_test/p08/oproofs-s00002-r00000824-n000004-0000-a25609a3e79dc42d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
+      "sha256": "a25609a3e79dc42d2c768e6e740f964702d5d1e53bbf9a20b3e5a33e9ae0bf10"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:824",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:825",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:826",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:827"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000824.lean\",\"397a6d1459de5dc66f9537c748fe923802b93fe3a9bbbdb787ee9190f54b3b2e\",0,\"theorem_name\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000825.lean\",\"74201941911ddf916365ab7b5b90a430ac863072d579c7618ff04d79cb4c8bb9\",0,\"problem_name\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000826.lean\",\"ae219f9ea2f9ebcba192b2f411781f061f554908e8973276cac94f4e7fb9b705\",0,\"c_value\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000827.lean\",\"1dfc0551f432a391bbdd7eced96e5436ce791164aed140a0f9d043c752fab49a\",0,\"area_triangle\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000828-n000004.json b/manifests/batches/oproofs/s00002-r00000828-n000004.json
index 4911af4742303524a784f201c51b0828143bae1a..da7d3891f4e6ccdad2387ce06ca3b1fe9a418032 100644
--- a/manifests/batches/oproofs/s00002-r00000828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000828-n000004",
   "batch_fingerprint": "c663c2518bb498d3b54bb89e9e6a861f3046713103ed71f03b90a2f7f92ebcd1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000828-n000004-0000-aa4797debd001e47.parquet",
-      "sha256": "aa4797debd001e47db3118e240ede4276b557133681dc7bb446c5abc90ed3c0e",
-      "bytes": 358181,
-      "rows": 27,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000829.lean\",\"2d39eeaa0e34f08e612a137124e40fe10326ddf99745fcd8f72646392dbfe413\",0,\"is_even\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000830.lean\",\"7b1eac37247b31b476eb03fb7800dd35725ac5d31c49e92a41d8cd187b4a0ce0\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000831.lean\",\"3f4793f7bff26d8549ea927d8b87ebd84d288b48a9f85c5e7973f8d38c92fc04\",0,\"graph_of_g_neg_x_is_E\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358181,
+      "path": "data/train/p86/oproofs-s00002-r00000828-n000004-0000-aa4797debd001e47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "aa4797debd001e47db3118e240ede4276b557133681dc7bb446c5abc90ed3c0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000832-n000004.json b/manifests/batches/oproofs/s00002-r00000832-n000004.json
index 70d509f52f390f52fa36aa6588fae24f2a29c2b1..504dea301ee16c8b063c72d677718b971a250f5e 100644
--- a/manifests/batches/oproofs/s00002-r00000832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000832-n000004",
   "batch_fingerprint": "dd18686f4004d7f7d2b349b0c0ee73e9426954d5fabd97215f4d274263b4eb26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000832-n000004-0000-08f00c2f6ace5ed0.parquet",
-      "sha256": "08f00c2f6ace5ed044b8c92ce44feea0262bf3570ccb517a8d5173e4657f99ec",
-      "bytes": 1058850,
-      "rows": 26,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000833.lean\",\"1ec73ab294679989d2b60e07657dde78e2a547c2eca23acc4c4a1b8d8612f2f2\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000834.lean\",\"2f01045c19b3561dbe3c742e5711adb03416c5c608b6a9ee631595b9f9b61bda\",0,\"max_angle_B_in_geometric_sequence_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000835.lean\",\"e8f1eed549eb8f821ebddfedec92c8c65c9a63aab11b0891ec967a11782c348f\",0,\"lean_workbook_17129\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1058850,
+      "path": "data/train/pec/oproofs-s00002-r00000832-n000004-0000-08f00c2f6ace5ed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "08f00c2f6ace5ed044b8c92ce44feea0262bf3570ccb517a8d5173e4657f99ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000836-n000004.json b/manifests/batches/oproofs/s00002-r00000836-n000004.json
index a75fc22f0b8d594bebead601e32da35133fc41a5..9f532afff158027ce86f6a9e96fb57597f9d4563 100644
--- a/manifests/batches/oproofs/s00002-r00000836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000836-n000004",
   "batch_fingerprint": "cf1c438bb29862f8b78cc1cc92d1bd61e2e70a67cb42304f14c79bd65eec362c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000836-n000004-0000-957aac8bdc8820ab.parquet",
-      "sha256": "957aac8bdc8820ab65b614a241b06f682537570e8f51bb2671878e4c52e890d1",
-      "bytes": 135097,
-      "rows": 2,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000836-n000004-0000-9355ce5b2b5ade01.parquet",
-      "sha256": "9355ce5b2b5ade016436ad53717553ccbb78d8338b6e6dc81f761b963b71e841",
-      "bytes": 630687,
-      "rows": 18,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000837.lean\",\"47963aaa5cf0e08616b11915c93738a8c0c1f429d65339c2431eb28c25f16bd4\",0,\"lean_workbook_plus_20622\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000838.lean\",\"90f12d7cda3ef36c6de32369d2fe07c47fa8b848fc9466dc0cf68952fca7b472\",0,\"lean_workbook_plus_35375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000839.lean\",\"1a6b344377194f782a14d0311129dec98c5bcb149b5db6d7fdbe92a4773e7971\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135097,
+      "path": "data/train/p17/oproofs-s00002-r00000836-n000004-0000-957aac8bdc8820ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "957aac8bdc8820ab65b614a241b06f682537570e8f51bb2671878e4c52e890d1"
+    },
+    {
+      "bytes": 630687,
+      "path": "data/dev/p17/oproofs-s00002-r00000836-n000004-0000-9355ce5b2b5ade01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9355ce5b2b5ade016436ad53717553ccbb78d8338b6e6dc81f761b963b71e841"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000840-n000004.json b/manifests/batches/oproofs/s00002-r00000840-n000004.json
index 6923771e4a08f56c0a6f2ad334ce2886f482ad6e..13e16fc0995c2c534b5a6aa6c540d9292971e71e 100644
--- a/manifests/batches/oproofs/s00002-r00000840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000840-n000004",
   "batch_fingerprint": "0f96d42d57170d0c0249ebaac7040a2361b5d9393ad521edb7333aa60e2bdd6a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000840-n000004-0000-fe5e31066d7678ce.parquet",
-      "sha256": "fe5e31066d7678ce7936aba3e37f6bbacb0f39f92730485e212b8d0e6cdccd53",
-      "bytes": 643139,
-      "rows": 16,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000840-n000004-0001-e81002d0c93a6388.parquet",
-      "sha256": "e81002d0c93a6388958a6f4f6fe3b0c89aa74e49e2e4e5e405b11bb53c77dd08",
-      "bytes": 579074,
-      "rows": 7,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:841",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000841.lean\",\"0ad5ce3d169bdaa4e314a3ef5f4772beff38b1aa3600431bd9f26102f033b528\",0,\"algebra_480921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000842.lean\",\"20ab59f6b9f1224cee8ff3845f7df1847114b9eb89708eebdd0dacf723796980\",0,\"max_value_sqrt4_abcd_plus_sqrt4_1_minus_abcd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000843.lean\",\"e18be3f1bfdf7b2c765f405b004739524a48808ac6920895f049b3f02b3e982d\",0,\"lean_workbook_plus_48696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 643139,
+      "path": "data/train/pdb/oproofs-s00002-r00000840-n000004-0000-fe5e31066d7678ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "fe5e31066d7678ce7936aba3e37f6bbacb0f39f92730485e212b8d0e6cdccd53"
+    },
+    {
+      "bytes": 579074,
+      "path": "data/train/pdb/oproofs-s00002-r00000840-n000004-0001-e81002d0c93a6388.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e81002d0c93a6388958a6f4f6fe3b0c89aa74e49e2e4e5e405b11bb53c77dd08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000844-n000004.json b/manifests/batches/oproofs/s00002-r00000844-n000004.json
index 8a6eeef4840da35fe4d89068d969e25f2494e970..b934b77a331d07cad109ce276bd50fe6dc4964f5 100644
--- a/manifests/batches/oproofs/s00002-r00000844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000844-n000004",
   "batch_fingerprint": "0b755b9e02eaef597b9e14ee79a824d20258ee5131c859fdb6b657b3951c688c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000844-n000004-0000-c3657e7b3dfb0a6c.parquet",
-      "sha256": "c3657e7b3dfb0a6c8e7e9777afecbf23552aa7551ccd6f13733b3bc75c6a61a8",
-      "bytes": 156607,
-      "rows": 15,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:845",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000845.lean\",\"09110745057cb2b624786a79b845469c11a859a4e7a933764180dd07da271f95\",0,\"lean_workbook_36387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000846.lean\",\"64499bfa69a32a06ffe609329c00210d361c0f2bd7fb8fd366e0c6b442a8dd53\",0,\"triangle_area_max\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000847.lean\",\"f3337eae4cc50d3e7d522bb473c66a40a85800015f664e07550592bcbfcfb31e\",0,\"lean_workbook_32781\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156607,
+      "path": "data/train/p33/oproofs-s00002-r00000844-n000004-0000-c3657e7b3dfb0a6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c3657e7b3dfb0a6c8e7e9777afecbf23552aa7551ccd6f13733b3bc75c6a61a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000848-n000004.json b/manifests/batches/oproofs/s00002-r00000848-n000004.json
index 15c83abf2bfa1a428fa65220a2b9eeb5a900af32..6d0e83e5beb1ccab609132b5d6e9198a7eafdbde 100644
--- a/manifests/batches/oproofs/s00002-r00000848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000848-n000004",
   "batch_fingerprint": "e4c7684c46b7fac1f8baf3df98c4af96fc4a71a42f44088907e1651aa68778f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000848-n000004-0000-168365681805587a.parquet",
-      "sha256": "168365681805587a4b081b435c3c9771be07fcd7152b6d02deac2486537a46f3",
-      "bytes": 539462,
-      "rows": 41,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000849.lean\",\"e96356d14fb0744d3e151fff1dae155f90b5295a277e49663c7cc8174aa413c7\",0,\"lean_workbook_plus_36662\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000850.lean\",\"c64a1c9ebb58a72f46ea938c02d07539d553f1abea9a0cda1c685f6a7d1aee61\",0,\"lean_workbook_plus_49123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000851.lean\",\"2190efb82a02b5fde85f06c864be5da7adcb90894369aff9e422e7575c2adc2e\",0,\"lean_workbook_49701\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 539462,
+      "path": "data/train/p99/oproofs-s00002-r00000848-n000004-0000-168365681805587a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 41,
+      "sha256": "168365681805587a4b081b435c3c9771be07fcd7152b6d02deac2486537a46f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000852-n000004.json b/manifests/batches/oproofs/s00002-r00000852-n000004.json
index d66990580e5c753061cbdc2a8c656b91147a3bf8..174781da47615a661697f4a6f698528a19c02dc5 100644
--- a/manifests/batches/oproofs/s00002-r00000852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000852-n000004",
   "batch_fingerprint": "eb9cceab8b9d7f39cde5eab83066cc57a27c43b4433d23a1b4545df13051e277",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000852-n000004-0000-e1bd5c48b7200544.parquet",
-      "sha256": "e1bd5c48b720054481b35bca940e9eadc65dd8fdfed012f4d596f16f614ad44d",
-      "bytes": 217919,
-      "rows": 13,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000852-n000004-0000-bf6b51cb92ad9630.parquet",
-      "sha256": "bf6b51cb92ad96305b64d135478f9ad4d75767d94a6340c98c715f09e907550f",
-      "bytes": 34810,
-      "rows": 2,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000853.lean\",\"c36faec148d759f058d769da23651fdfd6a9b4697c279e562bdae2089ffafd3e\",0,\"altitude_perpendicular_segment_constant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000854.lean\",\"c1dd8c0dc05f82fc094208231529f2d012345d5b37007df10e21910f89b06559\",0,\"lean_workbook_plus_19789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000855.lean\",\"eb9fdeb1862ebee041fda21c83d8b7f126431d1abcd2a671c7a237010f8aa5c3\",0,\"lean_workbook_plus_66103\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217919,
+      "path": "data/train/p0c/oproofs-s00002-r00000852-n000004-0000-e1bd5c48b7200544.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e1bd5c48b720054481b35bca940e9eadc65dd8fdfed012f4d596f16f614ad44d"
+    },
+    {
+      "bytes": 34810,
+      "path": "data/internal_test/p0c/oproofs-s00002-r00000852-n000004-0000-bf6b51cb92ad9630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bf6b51cb92ad96305b64d135478f9ad4d75767d94a6340c98c715f09e907550f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000856-n000004.json b/manifests/batches/oproofs/s00002-r00000856-n000004.json
index 464c4cb8dc8e98167b510a3feffbf2ffb58ef2e5..78f60faea409c55d9bf3f8f7695651d288ab52e3 100644
--- a/manifests/batches/oproofs/s00002-r00000856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000856-n000004",
   "batch_fingerprint": "7e46ead8917709cd616d9ab205c00da06b5a5e7cdd7a6278bf320c4b72ab176b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000856-n000004-0000-4a69c7816c18c3d4.parquet",
-      "sha256": "4a69c7816c18c3d4d328198e8739b1cd4e4379969f67ed27df1938bef1ddfc6d",
-      "bytes": 116682,
-      "rows": 12,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000857.lean\",\"a3a1dae88e75e941a1a91636b3dc1391fefe5599201a8ccf5247e87c43a2d361\",0,\"lean_workbook_plus_11307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000858.lean\",\"87a26b20cc93c18e0f1467f529f6496a581c7b23cb0307189d3fc6354b54703e\",0,\"books_arrangement_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000859.lean\",\"5a428d22a9ed4458d8914e30fee3810b9e4c9fa370674fa25b3204e8e3e5f21a\",0,\"lean_workbook_11269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116682,
+      "path": "data/train/p43/oproofs-s00002-r00000856-n000004-0000-4a69c7816c18c3d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4a69c7816c18c3d4d328198e8739b1cd4e4379969f67ed27df1938bef1ddfc6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000860-n000004.json b/manifests/batches/oproofs/s00002-r00000860-n000004.json
index ddca3b0defb284362e475abf450013eacb8adc99..8a5f0d01597b6e44a01e0f80d409cef37f45024a 100644
--- a/manifests/batches/oproofs/s00002-r00000860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000860-n000004",
   "batch_fingerprint": "c0c999d9142c715ea431f6faba16e1a8977b1e1bf99dd86eef09d358dab8dbe6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000860-n000004-0000-7cb84c8b7a4ab373.parquet",
-      "sha256": "7cb84c8b7a4ab373344dfca6677355a8f0d39d106f3f031fd636c9961d4b6cf1",
-      "bytes": 331633,
-      "rows": 18,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:861",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000861.lean\",\"297264319edbec66b288c6d7f9c09c30017d92c6b6d513bd2ad9ef997f75ac6c\",0,\"lean_workbook_plus_25284\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000862.lean\",\"43f7e8ecde9305e65c1185544a27766ddb661a901a5f22c72bf8a8ece248fb7e\",0,\"lean_workbook_31941\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000863.lean\",\"8398ae9d08f6d3fac3d5fe30e3d5dec1095fd47cf9bd99efc6d5c1757ab64633\",0,\"lean_workbook_plus_21421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331633,
+      "path": "data/train/pc5/oproofs-s00002-r00000860-n000004-0000-7cb84c8b7a4ab373.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7cb84c8b7a4ab373344dfca6677355a8f0d39d106f3f031fd636c9961d4b6cf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000864-n000004.json b/manifests/batches/oproofs/s00002-r00000864-n000004.json
index d19acef9cae96bd03f7a30b7bcb3ebf456b80b27..295ccb1aaf9af803ed5936ca7373b0612f46d12f 100644
--- a/manifests/batches/oproofs/s00002-r00000864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000864-n000004",
   "batch_fingerprint": "299ba142a7b8a6653af5d6aa4804d0802a9a0a5cb34aef495a1670dfb3d2803d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000864-n000004-0000-720bb40f322bd852.parquet",
-      "sha256": "720bb40f322bd852d88742f2781693b7595cc2ba13d59cfa12f72811243db199",
-      "bytes": 216324,
-      "rows": 19,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:865",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000865.lean\",\"b09deeef2c9cf45bbca4f63c2f919b456ef6a64d7fe9c856f64095ef1fa2a523\",0,\"lean_workbook_plus_70475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000866.lean\",\"1433b4d26762a2e0e094c7feba10d9edcffae320e67d2fd1931d3ca8f0f8c888\",0,\"lean_workbook_plus_7777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000867.lean\",\"09b19b299f077a07bc7ad8e2b0e54cfb1b328024073351f538eaf4aec048ba2d\",0,\"lean_workbook_plus_81466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216324,
+      "path": "data/train/pa7/oproofs-s00002-r00000864-n000004-0000-720bb40f322bd852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "720bb40f322bd852d88742f2781693b7595cc2ba13d59cfa12f72811243db199"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000868-n000004.json b/manifests/batches/oproofs/s00002-r00000868-n000004.json
index f67c88415aac51e7ab9793a7f2035d430db95093..b135c6625fd7b54289ef9cc91e5251ddabdf8dc3 100644
--- a/manifests/batches/oproofs/s00002-r00000868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000868-n000004",
   "batch_fingerprint": "4ce16d3676f3dbfd669825828d938570e4d0e62de18586811cf62ab684d7659c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000868-n000004-0000-4d2ab1114f21c597.parquet",
-      "sha256": "4d2ab1114f21c597d6f3b675edd16a073654a71454ad63f4033ea22d5dad1fab",
-      "bytes": 251944,
-      "rows": 17,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000869.lean\",\"ce25b531ba9c36f109a45d2eea72d98524edb3647df9b11bddba6793d213a543\",0,\"quadratic_and_exponential\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000870.lean\",\"add367fdd1b3e3ff89067a6fc195b2c37837d507df4b6d15ac08a8d7f15afb6f\",0,\"lean_workbook_plus_76167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000871.lean\",\"c2f33669ada6e45bb685974f91575df12b5591e1159d29d43ce318a995e66809\",0,\"cos_max_value_with_constraint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251944,
+      "path": "data/train/p37/oproofs-s00002-r00000868-n000004-0000-4d2ab1114f21c597.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4d2ab1114f21c597d6f3b675edd16a073654a71454ad63f4033ea22d5dad1fab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000872-n000004.json b/manifests/batches/oproofs/s00002-r00000872-n000004.json
index 65bde24c195ff0f10af810dfcc6d26a8a1bb9acf..dd2b16b5c6964b66c606642331743a811fbcbddc 100644
--- a/manifests/batches/oproofs/s00002-r00000872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000872-n000004",
   "batch_fingerprint": "74ed857f84416e0905732210410f31d2b038f53af65455a636bbdc14f6314a25",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000872-n000004-0000-8eebae4c2a6dea6c.parquet",
-      "sha256": "8eebae4c2a6dea6c706988c5e8258ab61ccb37952d9b23b9bb1a14a7e9d71814",
-      "bytes": 266783,
-      "rows": 17,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000873.lean\",\"361c908fd964a8a60de79dcab18cbcb36d233b1ac7b9a0de3d5892dd041c96ff\",0,\"lean_workbook_plus_73521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000874.lean\",\"db5425d136e3e538080d294fb7a7e7e1b605034799bdfedc2e8af0af36ad1472\",0,\"lean_workbook_plus_27728\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000875.lean\",\"8cc71a5076d96290ccfac80da64bbfb69c0655c28a0caa2250b20c282bbff75c\",0,\"lean_workbook_plus_46342\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266783,
+      "path": "data/train/pc4/oproofs-s00002-r00000872-n000004-0000-8eebae4c2a6dea6c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8eebae4c2a6dea6c706988c5e8258ab61ccb37952d9b23b9bb1a14a7e9d71814"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000876-n000004.json b/manifests/batches/oproofs/s00002-r00000876-n000004.json
index 908d64ae8f223781211bcd51a391b540a9621429..1d35b467ef21793e2b52b78a86bfa600156542c1 100644
--- a/manifests/batches/oproofs/s00002-r00000876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000876-n000004",
   "batch_fingerprint": "664fc15c512d4875f6ea295edb39a2f4460a2654ceff47d4392f896d589536ee",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:876",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:877",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:878",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:879"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000876.lean\",\"f6e3ac847efaa6850a1d765904478ac9ba565070b85fb85ad1cf97064006c05b\",0,\"lean_workbook_plus_60891\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000877.lean\",\"e1c060d6f27c5c9865845090763a0c106df178f7f8d305d2a7437ac5b29d745a\",0,\"lean_workbook_plus_31485\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000878.lean\",\"0ce1683fb4fc1bf576e987a4c6f6aaba7a8af9e987d6ebfc7c07ce9516589e72\",0,\"lean_workbook_29849\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000879.lean\",\"b30218f0027d477ee3dc2c3b6c7f06dc7d0fae53b18e0bb3ec1d4f44549874a9\",0,\"lean_workbook_plus_31006\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00000876-n000004-0000-74b4365b4334e47f.parquet",
-      "sha256": "74b4365b4334e47ff3b0bbb6d64047a65119187f2f26498af5645a0d2a5dd76f",
       "bytes": 240735,
+      "path": "data/train/p69/oproofs-s00002-r00000876-n000004-0000-74b4365b4334e47f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "74b4365b4334e47ff3b0bbb6d64047a65119187f2f26498af5645a0d2a5dd76f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00000876-n000004-0000-9fb151ee9d981dc0.parquet",
-      "sha256": "9fb151ee9d981dc0b620388d82e9adf4e8c89d0c0daad6e6e65d11526507b2b3",
       "bytes": 37007,
+      "path": "data/dev/p69/oproofs-s00002-r00000876-n000004-0000-9fb151ee9d981dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "9fb151ee9d981dc0b620388d82e9adf4e8c89d0c0daad6e6e65d11526507b2b3"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00000876-n000004-0000-cd069325bbd5d995.parquet",
-      "sha256": "cd069325bbd5d995fec028c85b85ccd00fc5fcd49ffd711042e0fe35f829c301",
       "bytes": 331048,
+      "path": "data/internal_test/p69/oproofs-s00002-r00000876-n000004-0000-cd069325bbd5d995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
+      "sha256": "cd069325bbd5d995fec028c85b85ccd00fc5fcd49ffd711042e0fe35f829c301"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:876",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:877",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:878",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:879"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000876.lean\",\"f6e3ac847efaa6850a1d765904478ac9ba565070b85fb85ad1cf97064006c05b\",0,\"lean_workbook_plus_60891\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000877.lean\",\"e1c060d6f27c5c9865845090763a0c106df178f7f8d305d2a7437ac5b29d745a\",0,\"lean_workbook_plus_31485\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000878.lean\",\"0ce1683fb4fc1bf576e987a4c6f6aaba7a8af9e987d6ebfc7c07ce9516589e72\",0,\"lean_workbook_29849\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000879.lean\",\"b30218f0027d477ee3dc2c3b6c7f06dc7d0fae53b18e0bb3ec1d4f44549874a9\",0,\"lean_workbook_plus_31006\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000880-n000004.json b/manifests/batches/oproofs/s00002-r00000880-n000004.json
index e94468e7d41f343bdce852b5f0b6c83e519b8f54..5dc6dfccb6f11b51e2f55d00d0e7ee5c79e943c5 100644
--- a/manifests/batches/oproofs/s00002-r00000880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000880-n000004",
   "batch_fingerprint": "7de4f2d27489e6e350c3770fd5fbdd5a24fd10e0afc2b31c84105ffe9e8bbe44",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000880-n000004-0000-a0e4b16d1e826232.parquet",
-      "sha256": "a0e4b16d1e8262327446b367ff74ca2adb74a7d9dd6771edeac56332446c1eb0",
-      "bytes": 163952,
-      "rows": 9,
-      "revision": "beca232accccda8bdb3ebd0b334adba40c302426"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:881",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000880.lean\",\"c4136e0ac934ab4d49614b15fc3ea7a40eb3b85ac069e3b25c3e429f0639ed92\",0,\"lean_workbook_2348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000881.lean\",\"c33f448af816449366c5f64e3cbe38339f592163dff2c7de66699d6783ef725e\",0,\"lean_workbook_plus_16544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000883.lean\",\"e45d0871d46b014192cad05d0e8163e83d2b16deebd920d7713a29a239949a6b\",0,\"lean_workbook_plus_8687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163952,
+      "path": "data/train/p38/oproofs-s00002-r00000880-n000004-0000-a0e4b16d1e826232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a0e4b16d1e8262327446b367ff74ca2adb74a7d9dd6771edeac56332446c1eb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000884-n000004.json b/manifests/batches/oproofs/s00002-r00000884-n000004.json
index d41834b9c310796eb589efae96d49c80fdc00631..863047ae68e7acf04d8aa39d6dcbf5e2021016bc 100644
--- a/manifests/batches/oproofs/s00002-r00000884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000884-n000004",
   "batch_fingerprint": "a7acf500f963931c6c5ea8c91927b3bef2e16233862ab1dadfb7d1a09f982844",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000884-n000004-0000-6f5dcdd4709e7f7b.parquet",
-      "sha256": "6f5dcdd4709e7f7b2a83f3480d66644e94c1e67dafd59866c1a101be03f8d967",
-      "bytes": 73034,
-      "rows": 6,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000884-n000004-0000-7afa1b951770c8fc.parquet",
-      "sha256": "7afa1b951770c8fc5d7f33eb36f46a67ab8c0b798c2e35c6900b535947ddce44",
-      "bytes": 341501,
-      "rows": 17,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:885",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000885.lean\",\"573225ef4f7eebbeb8eb953b3bce69790087e13c787c0f3b63e8cf815437066b\",0,\"lean_workbook_plus_65022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000886.lean\",\"2c648fd65127a0834f2217d617ee9260216e4d6a7ad3738be7939fca950f436e\",0,\"lean_workbook_plus_51758\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000887.lean\",\"279372e878f7cf1ed40f17c4c41232145a1b642e9b79f001797e5ed296d41ff9\",0,\"lean_workbook_plus_31923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73034,
+      "path": "data/train/p01/oproofs-s00002-r00000884-n000004-0000-6f5dcdd4709e7f7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6f5dcdd4709e7f7b2a83f3480d66644e94c1e67dafd59866c1a101be03f8d967"
+    },
+    {
+      "bytes": 341501,
+      "path": "data/internal_test/p01/oproofs-s00002-r00000884-n000004-0000-7afa1b951770c8fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7afa1b951770c8fc5d7f33eb36f46a67ab8c0b798c2e35c6900b535947ddce44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000888-n000004.json b/manifests/batches/oproofs/s00002-r00000888-n000004.json
index c1262eedfce12cfb890881a7e643332c7bfd4efd..8758f9c11aa69c1d95c5762b4a4fe394fd1858d0 100644
--- a/manifests/batches/oproofs/s00002-r00000888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000888-n000004",
   "batch_fingerprint": "25d6afca3d118d85e02bd02d36238b1fc80117f30abc451738b46a227b2e4305",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000888-n000004-0000-2f0726dc697b332e.parquet",
-      "sha256": "2f0726dc697b332e854b5c0eb6a636d4ffd5c3c294d07e3780338ded7e217410",
-      "bytes": 232412,
-      "rows": 19,
-      "revision": "09e4a4d8dbbd7bd40b1fff1f2519823841f33668"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:889",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000889.lean\",\"d287e33cf14360ea69165b642eccd62289d7d7136b90364329c2d4df942cea4d\",0,\"lean_workbook_plus_62693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000890.lean\",\"02ec4f6bffba35f77bf621bd0c3fade88f1715af1e4d3034436848ddf7153647\",0,\"lean_workbook_plus_72478\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000891.lean\",\"d20ef7c588c5e31ed2196338f43d9c645b6d85325e06eab6f0613b515e663881\",0,\"lean_workbook_11445\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232412,
+      "path": "data/train/p0d/oproofs-s00002-r00000888-n000004-0000-2f0726dc697b332e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2f0726dc697b332e854b5c0eb6a636d4ffd5c3c294d07e3780338ded7e217410"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000892-n000004.json b/manifests/batches/oproofs/s00002-r00000892-n000004.json
index d497c539e769ac49e465075aee82b572476f6d4a..3fbcab59fab6372d12c4528ee74407b8e5709143 100644
--- a/manifests/batches/oproofs/s00002-r00000892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000892-n000004",
   "batch_fingerprint": "700417afcb0a3ce95a64340f81c56d68e6e39f4810e73a0c61044a308934af74",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000000/oproofs-s00002-r00000892-n000004-0000-cefb38c3f37fd483.parquet",
-      "sha256": "cefb38c3f37fd4834fb2091a61f9d69178548987561af29611ee12d948976e5f",
-      "bytes": 1253775,
-      "rows": 24,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:893",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:894",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000893.lean\",\"5166c27bd1af592710b69a7a5367624a36354ca0a8c15951b933a005eee6cf82\",0,\"options_not_equal_seven_fifths\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000894.lean\",\"fa68c935ac919ec7130b4a8eda145653c762f597aed7132cad41112697566a20\",0,\"lean_workbook_plus_67433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000895.lean\",\"5bc97e715bccd93cb1b5c19cf836731e630af8410fbcbaae41cd73cb81da9aa7\",0,\"lean_workbook_plus_18464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1253775,
+      "path": "data/train/pc0/oproofs-s00002-r00000892-n000004-0000-cefb38c3f37fd483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cefb38c3f37fd4834fb2091a61f9d69178548987561af29611ee12d948976e5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000896-n000004.json b/manifests/batches/oproofs/s00002-r00000896-n000004.json
index 8bb14a9d9933eb380db8b6595aefb19f9e0d481c..3b69a107c8c98157baf4ebb50f1943c4f90befea 100644
--- a/manifests/batches/oproofs/s00002-r00000896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000896-n000004",
   "batch_fingerprint": "3d1306805dfeae349e37b69802c5d5b6d1b895d05377aec4f1935b3a69ff1590",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000896-n000004-0000-a4172ed145d6dcc5.parquet",
-      "sha256": "a4172ed145d6dcc5e345eb37e02182a6dbc3283a1c0d7c4df1966d360c747874",
-      "bytes": 503384,
-      "rows": 10,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000896-n000004-0000-499ee6c080fa76cd.parquet",
-      "sha256": "499ee6c080fa76cdc1f57fb845c9d294ee22d954e428e6a4a8d9aedd59081de2",
-      "bytes": 78949,
-      "rows": 2,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000897.lean\",\"80659ccf32551a6cfca17165ec010ab4c22adc6f56a753b707f88ffb55dabd48\",0,\"lean_workbook_plus_78968\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000898.lean\",\"4ea0b745470ee564a0ec2cef54dfcb18754a4a162c3f2577bcbc1d58f918b32e\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000899.lean\",\"06d1119b8582ab84c04b84e63c4789c182943fdd03388243fdd317cfc85ab14e\",0,\"lean_workbook_plus_22324\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503384,
+      "path": "data/train/p8f/oproofs-s00002-r00000896-n000004-0000-a4172ed145d6dcc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a4172ed145d6dcc5e345eb37e02182a6dbc3283a1c0d7c4df1966d360c747874"
+    },
+    {
+      "bytes": 78949,
+      "path": "data/internal_test/p8f/oproofs-s00002-r00000896-n000004-0000-499ee6c080fa76cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "499ee6c080fa76cdc1f57fb845c9d294ee22d954e428e6a4a8d9aedd59081de2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000900-n000004.json b/manifests/batches/oproofs/s00002-r00000900-n000004.json
index 324858178beaa7b38ec54547eaf85533cd7902c1..9b2134a8af22f9758c30e5b7c952cabaee386fe5 100644
--- a/manifests/batches/oproofs/s00002-r00000900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000900-n000004",
   "batch_fingerprint": "1869dc5401c58fd3aacf8458428f776a99075063259fc3ea7016c2deb5e0dacd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000900-n000004-0000-c7692433e824e0fb.parquet",
-      "sha256": "c7692433e824e0fb16299dc1ce86b8d708badf72798049ca3bd8b6e94b84ee68",
-      "bytes": 184588,
-      "rows": 19,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00000900-n000004-0001-b66a52bd1fe79762.parquet",
-      "sha256": "b66a52bd1fe79762a452e8cc697d927253d44ad2c90cec6a9567a4e8db77ebb2",
-      "bytes": 661238,
-      "rows": 2,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000901.lean\",\"8cf9f4718f84cb63dda14211dc214496bd60802dfae2e769a8455276dcdc1c2f\",0,\"lean_workbook_14339\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000902.lean\",\"5cf0685d9af15e9413a3712002333e22a9cd420b9f2bc3ca3c7535c4e5d58a92\",0,\"max_sum_under_product_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000903.lean\",\"cc3312b7fddd31e2dd02b5af075163c9c70b245e05d187d8839e0a82812b15d4\",0,\"lean_workbook_plus_69480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184588,
+      "path": "data/train/p56/oproofs-s00002-r00000900-n000004-0000-c7692433e824e0fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c7692433e824e0fb16299dc1ce86b8d708badf72798049ca3bd8b6e94b84ee68"
+    },
+    {
+      "bytes": 661238,
+      "path": "data/train/p56/oproofs-s00002-r00000900-n000004-0001-b66a52bd1fe79762.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b66a52bd1fe79762a452e8cc697d927253d44ad2c90cec6a9567a4e8db77ebb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000904-n000004.json b/manifests/batches/oproofs/s00002-r00000904-n000004.json
index 25287b77eb89d5bb27fbe846cd3ad17c8dea8f1c..8919866a57b366ed5a60f7bfaa73c4ae21e731f7 100644
--- a/manifests/batches/oproofs/s00002-r00000904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000904-n000004",
   "batch_fingerprint": "4e69fcde390aaea55b618f48cf6705605d0e8b4fbeb651eaa6e15936d67ca6d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000904-n000004-0000-e4322ed70ce9a493.parquet",
-      "sha256": "e4322ed70ce9a493db07ff6b684e92ff47d835bf87df1e82a7347f581ee24309",
-      "bytes": 159433,
-      "rows": 15,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000905.lean\",\"bf9bd487227e4f3287a16f2d4424ed78e1713747ca65f89f7e4767cccca558b3\",0,\"lean_workbook_plus_58468\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000906.lean\",\"e0016886d14620fef805ec0b70dd93fc3d3a98946d31a0468732e686c3932f97\",0,\"lean_workbook_plus_6632\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000907.lean\",\"a1d9cde66fa3e9be15e566379f43ec568152d1c118dbd7cb5cb07a8a23c6b49b\",0,\"lean_workbook_36267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159433,
+      "path": "data/train/p8d/oproofs-s00002-r00000904-n000004-0000-e4322ed70ce9a493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e4322ed70ce9a493db07ff6b684e92ff47d835bf87df1e82a7347f581ee24309"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000908-n000004.json b/manifests/batches/oproofs/s00002-r00000908-n000004.json
index 1311478dd11a16fe3677b96202bb2259d6be1797..cd9000f4b5af1b48dfc9208a6d4a840707821d97 100644
--- a/manifests/batches/oproofs/s00002-r00000908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000908-n000004",
   "batch_fingerprint": "d9e758ba62585422fe56c607a57865ffcc3107f9333d7490b47d07350bdae2db",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000908-n000004-0000-427b8923ff92d15a.parquet",
-      "sha256": "427b8923ff92d15add1fb277eb1e7996c117bcb68548564932ae801c9d5173f7",
-      "bytes": 75782,
-      "rows": 11,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000909.lean\",\"f35bf55aaa9e74af4fc05c8b20beb5d609f160bb7349f2d88e5157e21dedbaa6\",0,\"lean_workbook_plus_46416\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000910.lean\",\"1b759d97bc2ef51dee18fd3fb5d0336bb7181971344e8c5369cfef274b7bac75\",0,\"lean_workbook_14139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000911.lean\",\"6f748a1d1cb8afe9dc2c23bb4bc5019ed7b5caf5ea86b306422ff3e27a230d11\",0,\"lean_workbook_11905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75782,
+      "path": "data/train/p9b/oproofs-s00002-r00000908-n000004-0000-427b8923ff92d15a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "427b8923ff92d15add1fb277eb1e7996c117bcb68548564932ae801c9d5173f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000912-n000004.json b/manifests/batches/oproofs/s00002-r00000912-n000004.json
index 6e77c170c8503f5040c6071fd8b759217e74cabd..f2fde9a37da60f473381de01127059d78a693005 100644
--- a/manifests/batches/oproofs/s00002-r00000912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000912-n000004",
   "batch_fingerprint": "1eb4568f408838191049cabc2d65f1c7bcf6d1fd22a2b139b9560de66a426057",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000912-n000004-0000-68f130d32ea9440a.parquet",
-      "sha256": "68f130d32ea9440a8a9ec8895c1f62e2e9329141acbaf1d19595659ebd71cf38",
-      "bytes": 119613,
-      "rows": 14,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000912-n000004-0000-d3dd680d8a538c82.parquet",
-      "sha256": "d3dd680d8a538c82a6d43c1ee38e8e421f604b50ae11339a0ba347cee2180c36",
-      "bytes": 46469,
-      "rows": 5,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000913.lean\",\"ef572bcc5f554a0d62f3672c7aab811b27a4a77349a0e822aaae5f86f331d9e8\",0,\"lean_workbook_plus_75146\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000914.lean\",\"efa4e37eeb6d368f140b5334a1d2f284ecf51b881d0d9413057d1736f3a5176a\",0,\"lean_workbook_36387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000915.lean\",\"d9f37e6986a6889dbbf023a408e2e31f3b3be55ecf4f974b4ed7ad18a1959b64\",0,\"pencil_distribution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119613,
+      "path": "data/train/p7f/oproofs-s00002-r00000912-n000004-0000-68f130d32ea9440a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "68f130d32ea9440a8a9ec8895c1f62e2e9329141acbaf1d19595659ebd71cf38"
+    },
+    {
+      "bytes": 46469,
+      "path": "data/internal_test/p7f/oproofs-s00002-r00000912-n000004-0000-d3dd680d8a538c82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d3dd680d8a538c82a6d43c1ee38e8e421f604b50ae11339a0ba347cee2180c36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000916-n000004.json b/manifests/batches/oproofs/s00002-r00000916-n000004.json
index 3e0d8821445d64a1eeb122e20cae93c219266d9a..54182db6afedec896b147625a9c90f96ad7503b7 100644
--- a/manifests/batches/oproofs/s00002-r00000916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000916-n000004",
   "batch_fingerprint": "6f549d2ff0dec47595cca520f34672367e0a2e15f1d40707b8483e48143b8c7e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000916-n000004-0000-f7cf92bb4e29a982.parquet",
-      "sha256": "f7cf92bb4e29a982aecd21ddce9ed508d0f7f589bb363556e1c24d577d7190fe",
-      "bytes": 209494,
-      "rows": 11,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:917",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000917.lean\",\"b97c80a60d8b5668a19b20972781590f92966ffcdde85ce5169552f9ab30ce6d\",0,\"lean_workbook_plus_48696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000918.lean\",\"bf492b296005c92d6310e1bab5461d5ca07565ba1d333ddd7c3a948777a26c7a\",0,\"lean_workbook_32781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000919.lean\",\"d93f9ea486db5d2eea5212362797066e4669dbf3b46a1ce048f064be788932a1\",0,\"triangle_area_max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209494,
+      "path": "data/train/p9e/oproofs-s00002-r00000916-n000004-0000-f7cf92bb4e29a982.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f7cf92bb4e29a982aecd21ddce9ed508d0f7f589bb363556e1c24d577d7190fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000920-n000004.json b/manifests/batches/oproofs/s00002-r00000920-n000004.json
index f2cbcc05e2f6db373b6f6ea944fa3ba1c344c512..88101a7a0159beb5b2fe246b895e736d6e269e8a 100644
--- a/manifests/batches/oproofs/s00002-r00000920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000920-n000004",
   "batch_fingerprint": "be1396334e904e729d55131eac70f4f38b886ae24d825d9b529342c7e6093ec2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000920-n000004-0000-18cd5f3361f197a6.parquet",
-      "sha256": "18cd5f3361f197a60a14d93b7439d877dba6f9ee2371b02ced093487a84c7be3",
-      "bytes": 373269,
-      "rows": 21,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:921",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000921.lean\",\"3f857098ed157780582cbde002a567d6afacc2a83b98fdc741bf45378be2927a\",0,\"lean_workbook_plus_49123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000922.lean\",\"567dc47920e21fe010a3a36178e000097c59e4cf25d631db8de853d4b024016d\",0,\"lean_workbook_49701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000923.lean\",\"b78bca1e7841291cbcdc7cbfeb756035c6e5a26495c859b47fa7b4e0aa1e634a\",0,\"lean_workbook_35814\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373269,
+      "path": "data/train/p16/oproofs-s00002-r00000920-n000004-0000-18cd5f3361f197a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "18cd5f3361f197a60a14d93b7439d877dba6f9ee2371b02ced093487a84c7be3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000924-n000004.json b/manifests/batches/oproofs/s00002-r00000924-n000004.json
index 15a10994cab0b476cc37b5323865410b0f0d961f..bdac22b44bf4f2c76c05ce9b63d4b1ec1db01762 100644
--- a/manifests/batches/oproofs/s00002-r00000924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000924-n000004",
   "batch_fingerprint": "0fcad61e7bc5497eb9ae60eba06c2652767c069bb205b7d6fd1b8907dbc5ccc5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000924-n000004-0000-7ff54e3d91d745a2.parquet",
-      "sha256": "7ff54e3d91d745a2848eccb55237336d970c3b69dc493a8489bedeee59cfcb91",
-      "bytes": 283983,
-      "rows": 18,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000924-n000004-0000-3ed3ba89d6a68f52.parquet",
-      "sha256": "3ed3ba89d6a68f52414da305ebc2f61a99be428aeaec9b81053a166f72ac49bd",
-      "bytes": 299812,
-      "rows": 6,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:925",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000925.lean\",\"0499c73bb6ecaf09f8a3d6aa93a90494a074beb51f27c6bc1a6a143603fa28aa\",0,\"lean_workbook_30148\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000926.lean\",\"a1e39db4f326d670e30fdccc7d18d2c9a079553602c95844a7bb8bbcf54497f0\",0,\"books_arrangement_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000927.lean\",\"685eb8389ff4dc924cfd321b610b9410671988388708c079ca8e6ac08a5e531e\",0,\"lean_workbook_30018\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283983,
+      "path": "data/train/pd5/oproofs-s00002-r00000924-n000004-0000-7ff54e3d91d745a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7ff54e3d91d745a2848eccb55237336d970c3b69dc493a8489bedeee59cfcb91"
+    },
+    {
+      "bytes": 299812,
+      "path": "data/dev/pd5/oproofs-s00002-r00000924-n000004-0000-3ed3ba89d6a68f52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3ed3ba89d6a68f52414da305ebc2f61a99be428aeaec9b81053a166f72ac49bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000928-n000004.json b/manifests/batches/oproofs/s00002-r00000928-n000004.json
index 06def2f57fd23ea9e6451e55eaabed06b34a53d9..9c2d1079d33d51bb84443da9f27cdb0ed328c069 100644
--- a/manifests/batches/oproofs/s00002-r00000928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000928-n000004",
   "batch_fingerprint": "0052c22dd7db6d9886aacdcf679e4b2132db86f0f1ed26b7d5a0899074a1d724",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000928-n000004-0000-250466b01ce7285c.parquet",
-      "sha256": "250466b01ce7285c16b45e73b18ba5dd24cf49281aa263ddc1e72a7fa029fe3f",
-      "bytes": 211750,
-      "rows": 17,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000929.lean\",\"1b35cf60968ea1be75eb1020a7f22769fc8e6764850e0a9ebb524de75554d52b\",0,\"lean_workbook_30464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000930.lean\",\"f134282d94aeb14a41450fdab129ccbca74d8c054c25756b03c6ff24dd18ba2b\",0,\"lean_workbook_11269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000931.lean\",\"ba7411b15a7482686001ce556fe2a86f8055c509db765cf68d94ae12ecb25bfb\",0,\"lean_workbook_plus_20170\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211750,
+      "path": "data/train/p29/oproofs-s00002-r00000928-n000004-0000-250466b01ce7285c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "250466b01ce7285c16b45e73b18ba5dd24cf49281aa263ddc1e72a7fa029fe3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000932-n000004.json b/manifests/batches/oproofs/s00002-r00000932-n000004.json
index 441904e3f0f885156f5280718b60878e77a5f365..5983b267f9f509895fcd6885e9625db9814ee7b5 100644
--- a/manifests/batches/oproofs/s00002-r00000932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000932-n000004",
   "batch_fingerprint": "db327fb7cb6fe5da45cc3c236ac4d9402d66af7a455890af035901067badcf81",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000932-n000004-0000-ed6dc3c2c554fcdc.parquet",
-      "sha256": "ed6dc3c2c554fcdcb3de2ea4503e80771d1025b00a5fec8212044967a017c32a",
-      "bytes": 210400,
-      "rows": 26,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000933.lean\",\"e42f5a46cb00da43dee35d06a2f9a9959018df45b5066061da08cc472b724465\",0,\"lean_workbook_plus_21421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000934.lean\",\"04161055a27294c1a54b905d3ac2baf05b0a8ea21ed8299c0d031db6edbc1917\",0,\"lean_workbook_plus_11307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000935.lean\",\"f20ea1d0e4e0e4060a2085a4bedbdcc9443308a2ac8b83a1b70631db6e17fd09\",0,\"lean_workbook_38162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210400,
+      "path": "data/train/p2f/oproofs-s00002-r00000932-n000004-0000-ed6dc3c2c554fcdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ed6dc3c2c554fcdcb3de2ea4503e80771d1025b00a5fec8212044967a017c32a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000936-n000004.json b/manifests/batches/oproofs/s00002-r00000936-n000004.json
index 5a32e900491819024f5628ce4b48e9d40f8b5ecc..f18045fbf2f4bce6a927f119e934878589327b17 100644
--- a/manifests/batches/oproofs/s00002-r00000936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000936-n000004",
   "batch_fingerprint": "5a8803e3e5e9d09eefec7d93fe436032e9205ac5890bee0d751c6adc40c2a046",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000936-n000004-0000-a1fffafe66718d48.parquet",
-      "sha256": "a1fffafe66718d4808219bd44f81d3a78bc2ebc6cfd3a3c2329f3fc208cba049",
-      "bytes": 585212,
-      "rows": 26,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000937.lean\",\"3755d5ff966bb5cf57e61af1c0e9f7dc489c8b88b10035893fd0d56fad24e9a2\",0,\"lean_workbook_plus_48147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000938.lean\",\"839bd49df6f23808bd664cb474153619f9f9d9593cff795261e8579eaec347b5\",0,\"lean_workbook_plus_70475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000939.lean\",\"03b571b2d42bc8201118a4d960a8fd0798de52815987362610e7b19e4202fbf9\",0,\"lean_workbook_plus_41755\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 585212,
+      "path": "data/train/p15/oproofs-s00002-r00000936-n000004-0000-a1fffafe66718d48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a1fffafe66718d4808219bd44f81d3a78bc2ebc6cfd3a3c2329f3fc208cba049"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000940-n000004.json b/manifests/batches/oproofs/s00002-r00000940-n000004.json
index 0cf3d4956427f56768b586ce51a26fc3b5e3698d..51a723b6f8c3ec805af2ca349f4528c69a0cb4a7 100644
--- a/manifests/batches/oproofs/s00002-r00000940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000940-n000004",
   "batch_fingerprint": "558dea69a70a16dbfd18c4021b56d97b22e6ce697ef8f900cfb66f390d47b4ad",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000940-n000004-0000-d68f66bffe3f6a55.parquet",
-      "sha256": "d68f66bffe3f6a55295ae8acb0ad23dd9e7064a6c061de3317fc709d8bbe4338",
-      "bytes": 157419,
-      "rows": 16,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000941.lean\",\"66db3a2f4619dfb6d228e8cd7dc7d6856560d14e53b1c9b1c291a94bd309b38c\",0,\"lean_workbook_plus_73521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000942.lean\",\"f19161e3ed8acb2e977bced85d3dad15820275983895b266750ab20cb4457056\",0,\"lean_workbook_plus_46342\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000943.lean\",\"1f15459d0ae92e51bd8b4eefc3c9b1316bcfe2d0ce28df8c5a9ca571388fb29b\",0,\"lean_workbook_plus_27728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157419,
+      "path": "data/train/pa8/oproofs-s00002-r00000940-n000004-0000-d68f66bffe3f6a55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d68f66bffe3f6a55295ae8acb0ad23dd9e7064a6c061de3317fc709d8bbe4338"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000944-n000004.json b/manifests/batches/oproofs/s00002-r00000944-n000004.json
index 69752ba08bf8b75749b93d2a78faf793ec914a06..26bb5025ee2d502d8b459293a589f3bebc6a968c 100644
--- a/manifests/batches/oproofs/s00002-r00000944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000944-n000004",
   "batch_fingerprint": "6b3e19d5f9326f3e328398d1380e33f870f0582683e2671be09593e62e8fa5a7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000944-n000004-0000-ec26b3dedfc3eb70.parquet",
-      "sha256": "ec26b3dedfc3eb707ae088cf84223930bb106dcf0a1287b73aa4ca18d9b785e0",
-      "bytes": 238153,
-      "rows": 18,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000944-n000004-0000-1801af8c1e1ba288.parquet",
-      "sha256": "1801af8c1e1ba288a204f375e89fb8f7eec220302687c5276dd613fdb2adc365",
-      "bytes": 32046,
-      "rows": 2,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:945",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000945.lean\",\"5a24e86ccf0d2cba6ec202bbc3c0e33fa823e6526f4316a872a2fe0901af5b5c\",0,\"log_equation_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000946.lean\",\"2e57628a8b1ab629b68a4e0b4d056bc0af6488d431cd3e0f1ef7064666ec4abf\",0,\"lean_workbook_plus_50418\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000947.lean\",\"cbb47daf7adbea523468f00cb0fc111d0eb12774b1ef2b697cb2ea8b64a176cd\",0,\"lean_workbook_plus_31006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238153,
+      "path": "data/train/pfb/oproofs-s00002-r00000944-n000004-0000-ec26b3dedfc3eb70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ec26b3dedfc3eb707ae088cf84223930bb106dcf0a1287b73aa4ca18d9b785e0"
+    },
+    {
+      "bytes": 32046,
+      "path": "data/dev/pfb/oproofs-s00002-r00000944-n000004-0000-1801af8c1e1ba288.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1801af8c1e1ba288a204f375e89fb8f7eec220302687c5276dd613fdb2adc365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000948-n000004.json b/manifests/batches/oproofs/s00002-r00000948-n000004.json
index e2611b6404f53f081942b4eddb4674b8e2680724..6e27ed22231c6043d95aec5290e3d764e62233ad 100644
--- a/manifests/batches/oproofs/s00002-r00000948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000948-n000004",
   "batch_fingerprint": "391555f09f56087971fb3b3b1200800d86ce45ad635aa1ec551d6c912b768698",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000948-n000004-0000-82db2841abad0f60.parquet",
-      "sha256": "82db2841abad0f602a3768dc13a2289d69456313a19357e5b1b55de55e247b3f",
-      "bytes": 400745,
-      "rows": 23,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:949",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000949.lean\",\"363a704529fbf1cae3e5bbcc134ff7131c3307eefc78347aeff3f40bc8e0e064\",0,\"lean_workbook_29849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000950.lean\",\"df208221ddf38c5e44bf2cd9c21b18beeff6bf038ca3a344f9c3292fe82d9e74\",0,\"lean_workbook_2348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000951.lean\",\"116af6e2cf171c50cb3da86dd6dd8295d49c72ef48c6f57ca15eb262f3b27147\",0,\"lean_workbook_plus_16544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 400745,
+      "path": "data/train/pc6/oproofs-s00002-r00000948-n000004-0000-82db2841abad0f60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "82db2841abad0f602a3768dc13a2289d69456313a19357e5b1b55de55e247b3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000952-n000004.json b/manifests/batches/oproofs/s00002-r00000952-n000004.json
index e476f275d43dd8bf39917e01535336c252210977..30d96681fd041a4d226c54acd8d567b639043a6a 100644
--- a/manifests/batches/oproofs/s00002-r00000952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000952-n000004",
   "batch_fingerprint": "21accd719f9bd7216e74e9cb860f3f5eac02f5bd1cc412402107b9e992120fb7",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000952-n000004-0000-b912a4ff6a808186.parquet",
-      "sha256": "b912a4ff6a80818663e8ad0b320c37e190bccd4a094d72393c7bdca349764c4a",
-      "bytes": 66086,
-      "rows": 4,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000952-n000004-0000-d8049c71ed019dcb.parquet",
-      "sha256": "d8049c71ed019dcbabf5ecaf19b3228db7205a3b4199b599539c69dbcf482226",
-      "bytes": 73401,
-      "rows": 8,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:953",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000952.lean\",\"df95e8b6cfeaf81ce3f55da52c3667d5d49e198bcea701c0a337372f96091427\",0,\"lean_workbook_plus_57989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000953.lean\",\"0b40d03162696bcd7c46c4892cb8d5934e4fa48b71ec495fc3b717812d0aaae9\",0,\"lean_workbook_plus_8687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000955.lean\",\"9d8459eb0089f9bf89a4e656d87fd28c9f4e913d9fd0590e2026e8efb15f42c2\",0,\"lean_workbook_plus_31923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66086,
+      "path": "data/train/p9e/oproofs-s00002-r00000952-n000004-0000-b912a4ff6a808186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b912a4ff6a80818663e8ad0b320c37e190bccd4a094d72393c7bdca349764c4a"
+    },
+    {
+      "bytes": 73401,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00000952-n000004-0000-d8049c71ed019dcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d8049c71ed019dcbabf5ecaf19b3228db7205a3b4199b599539c69dbcf482226"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000956-n000004.json b/manifests/batches/oproofs/s00002-r00000956-n000004.json
index 24d01bff9b1970ab94dc8e557b9eb2c5dd10c46d..cb515cca1ef21816c62c508502d055c7571ea452 100644
--- a/manifests/batches/oproofs/s00002-r00000956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000956-n000004",
   "batch_fingerprint": "7bd40139cadf27f81b72d3b44a33dbe8c9537a6996fe9193557c6e4df1a93d60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000956-n000004-0000-b3095ee489b7e4f0.parquet",
-      "sha256": "b3095ee489b7e4f0793a12e70e388d2aaf3a8c3ac7224b55755f2ec66f5d4cae",
-      "bytes": 238162,
-      "rows": 18,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:957",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000957.lean\",\"b4190efc9a3fe446a9f067c65ba7861eb60cd2925d2e192b24782dfc7de12a15\",0,\"lean_workbook_plus_62693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000958.lean\",\"712256112264b8a111123dc9015cc80a07fdef1b0021a3e421843b56c41ef736\",0,\"lean_workbook_plus_72478\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000959.lean\",\"8c75de144b6800f3bdac25ea0ed5990414196a1f5de89765465cbfb364712da5\",0,\"lean_workbook_11445\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238162,
+      "path": "data/train/p02/oproofs-s00002-r00000956-n000004-0000-b3095ee489b7e4f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b3095ee489b7e4f0793a12e70e388d2aaf3a8c3ac7224b55755f2ec66f5d4cae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000960-n000004.json b/manifests/batches/oproofs/s00002-r00000960-n000004.json
index c512439d24f9cc42684e2d95214b19cb859af37c..3f878a1d4f0720dc61f6eff1845c5efa32fcb1e4 100644
--- a/manifests/batches/oproofs/s00002-r00000960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000960-n000004",
   "batch_fingerprint": "74dd0ea36ff18e8bafe41973320ca45a3bee0a6d195324de1a39319e28913c0e",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000000/oproofs-s00002-r00000960-n000004-0000-f9a29b20341cb25a.parquet",
-      "sha256": "f9a29b20341cb25a76a781c08118bae001f85fca8f6a38084e53ae1bc59618a5",
-      "bytes": 109165,
-      "rows": 12,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:962",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000960.lean\",\"f83bf7d6a2a4882547960e44e62cbacd3f172beb224c85dc528e5f273cec4271\",0,\"lean_workbook_plus_80393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000962.lean\",\"8342772b48e0cad6831b8b0f2a9e2bf6b8dcc6371a94f18d61b29a840edb550b\",0,\"options_not_equal_seven_fifths\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000963.lean\",\"560e92cc62304f7f21c77073d059d04c9824e7aa6ebe695c945e6de3f88bd0fd\",0,\"lean_workbook_plus_25826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109165,
+      "path": "data/train/p12/oproofs-s00002-r00000960-n000004-0000-f9a29b20341cb25a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f9a29b20341cb25a76a781c08118bae001f85fca8f6a38084e53ae1bc59618a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000964-n000004.json b/manifests/batches/oproofs/s00002-r00000964-n000004.json
index a85b8629ad66e133ba0dab9a263f67dea10e0994..0fd7a159432c8cd15373101b0b3c171dc0be5f42 100644
--- a/manifests/batches/oproofs/s00002-r00000964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000964-n000004",
   "batch_fingerprint": "669ef7b23dad28d7ad973c97edb1effe4479af572fa52461b148f61cbc3a0146",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000964-n000004-0000-04714a2a9a6e3ccb.parquet",
-      "sha256": "04714a2a9a6e3ccbc8f0085cf119b10082f38845216d44b357bd77950665b996",
-      "bytes": 394297,
-      "rows": 21,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000965.lean\",\"d32f955ff0a1a2abd05c331f41557892723c915374a4685d874bcf9d3165a2b5\",0,\"lean_workbook_plus_68427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000966.lean\",\"0a861bd6a8ea03d8c6418bf4c2092cdad0e02be3a774e1eb109f45583cba21fb\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000967.lean\",\"3b30bfd2163d8eaf5b6c4b0469e0d60ece065bfa1d78d4a08276b04fb5786691\",0,\"lean_workbook_plus_82323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394297,
+      "path": "data/train/p8c/oproofs-s00002-r00000964-n000004-0000-04714a2a9a6e3ccb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "04714a2a9a6e3ccbc8f0085cf119b10082f38845216d44b357bd77950665b996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000968-n000004.json b/manifests/batches/oproofs/s00002-r00000968-n000004.json
index 2e608410fdb254d66952136b82cf26298036507c..94e71a19d71be6de4d24e0eba75f179b1f879a3c 100644
--- a/manifests/batches/oproofs/s00002-r00000968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000968-n000004",
   "batch_fingerprint": "f1885096a1578cb12ddcb1aeda39325fde914596bf58f927299ac4a544503512",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000968-n000004-0000-56d389c870440330.parquet",
-      "sha256": "56d389c870440330c156d068c8dcbb8759e73284e9a635e3b02c75c9fe2b0fc9",
-      "bytes": 256441,
-      "rows": 22,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:969",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000969.lean\",\"3ebc925432461e267a9f143b9f3676176cd69804f613e4970a1aeb042f71e0f6\",0,\"lean_workbook_14339\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000970.lean\",\"c23806887d1af0bb7f415df0772c52081aa86d7948d707393d2a50519afb57b3\",0,\"continued_fraction_equals_five\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000971.lean\",\"0c81da18bc2bdf35f774e7dc64bad46f003aefafe0267f2b559a952b1916d58f\",0,\"max_sum_under_product_constraint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256441,
+      "path": "data/train/p32/oproofs-s00002-r00000968-n000004-0000-56d389c870440330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "56d389c870440330c156d068c8dcbb8759e73284e9a635e3b02c75c9fe2b0fc9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000972-n000004.json b/manifests/batches/oproofs/s00002-r00000972-n000004.json
index 73395cd9e2660ceca62bc3e04385ee68381a2f48..591e7e5d91f23f107e9b358e97ed93fc00214ad2 100644
--- a/manifests/batches/oproofs/s00002-r00000972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000972-n000004",
   "batch_fingerprint": "11bc5489840f25a4b03607808d6d161c510a76fede043ea2f8d64037f4575bed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000972-n000004-0000-2bde0e3b891b49b6.parquet",
-      "sha256": "2bde0e3b891b49b67039cdb12b6e894517ce3891c5dc6a1a834446596bc280c7",
-      "bytes": 1047460,
-      "rows": 10,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00000972-n000004-0000-3cd58bd2a6606886.parquet",
-      "sha256": "3cd58bd2a6606886a0dc352ee1f5790cb6c1e07779c71c1e29747fc2a3f6bbcb",
-      "bytes": 71272,
-      "rows": 5,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000973.lean\",\"bd52dff54c5f2cb3c04191f010bfaa67f5ef3e3052e48b87335f40d0c8d4cff9\",0,\"log_exp_ordering\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000974.lean\",\"8ed1da08fb2b47504bb001edad220e03a0de5dae54761e8300b02b2e89051f92\",0,\"lean_workbook_plus_58468\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000975.lean\",\"e101a4f1dbdcc03e15aa960c7e0fe7a5eb83beadd4d81d39e32a42cfd8be6085\",0,\"lean_workbook_plus_18464\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1047460,
+      "path": "data/train/pb4/oproofs-s00002-r00000972-n000004-0000-2bde0e3b891b49b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2bde0e3b891b49b67039cdb12b6e894517ce3891c5dc6a1a834446596bc280c7"
+    },
+    {
+      "bytes": 71272,
+      "path": "data/dev/pb4/oproofs-s00002-r00000972-n000004-0000-3cd58bd2a6606886.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3cd58bd2a6606886a0dc352ee1f5790cb6c1e07779c71c1e29747fc2a3f6bbcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000976-n000004.json b/manifests/batches/oproofs/s00002-r00000976-n000004.json
index a682afd01d7ba2af26ff707e6b12bb9c89142984..5bb08ffe1c6654f05d613c49986868c5acea61a4 100644
--- a/manifests/batches/oproofs/s00002-r00000976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000976-n000004",
   "batch_fingerprint": "98c9baec89839e606bed2dcb21fc453cce6168e235bc684f81097f2ce4072ce7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000976-n000004-0000-222a87ca109eea43.parquet",
-      "sha256": "222a87ca109eea433aebbdf57c4f60ed39a7e3284f6163c721cb752a9c51adbd",
-      "bytes": 191307,
-      "rows": 17,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000977.lean\",\"b9254500d8a8fceb5ecda041604181527b0c34234d90cad09e19ac6c5d9b13a1\",0,\"lean_workbook_36267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000978.lean\",\"0ec79834f83d6eb5f6bc865bb1a8e0a20252a32c23f13f589c56a3317be35f6b\",0,\"lean_workbook_plus_28413\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000979.lean\",\"856235c6aa9958d1c03029fbc1388fe650b1cc3cd6493aa7ab4e95d7c0be4eef\",0,\"lean_workbook_13476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191307,
+      "path": "data/train/p9e/oproofs-s00002-r00000976-n000004-0000-222a87ca109eea43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "222a87ca109eea433aebbdf57c4f60ed39a7e3284f6163c721cb752a9c51adbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000980-n000004.json b/manifests/batches/oproofs/s00002-r00000980-n000004.json
index a534054984dc39aca6b0dc82fd1588c4cfd47c33..687f3ca1307ae3db00e42a532e9e6232a25be330 100644
--- a/manifests/batches/oproofs/s00002-r00000980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000980-n000004",
   "batch_fingerprint": "114392e6b67fc2b5421aedf20834f4f5173204f04359d2b8703530aa34ff116d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000980-n000004-0000-a4380963cae13307.parquet",
-      "sha256": "a4380963cae13307c927cd2de2cb8a9eef836f2c28c2c18400ba190f068e6b84",
-      "bytes": 273755,
-      "rows": 19,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000981.lean\",\"9b679ead7b567f562c92d2004a93c756c9f28e94d90b0d09c07dd15a14202a02\",0,\"lean_workbook_11905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000982.lean\",\"c1212d9ac30d5a5bf3fe44d530a3facfcfba073f3dab604e49e53ce9210c38ff\",0,\"lean_workbook_44304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000983.lean\",\"e7a4b13f7b2f131da8cfc5a171f37bc9aa78abd72497423cfa0e9e92046701a6\",0,\"lean_workbook_plus_80121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273755,
+      "path": "data/train/pa8/oproofs-s00002-r00000980-n000004-0000-a4380963cae13307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a4380963cae13307c927cd2de2cb8a9eef836f2c28c2c18400ba190f068e6b84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000984-n000004.json b/manifests/batches/oproofs/s00002-r00000984-n000004.json
index 3422ba21cc3974b95d424db6f2f3d97c3f676d17..ed0cd43ce6076c26ca382b5c633907b202c2573f 100644
--- a/manifests/batches/oproofs/s00002-r00000984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000984-n000004",
   "batch_fingerprint": "cba71ab3286effb5f9ad05ae6e08d191ae415074aa12540826f46ae2a72141fe",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000984-n000004-0000-a6550fef99173b77.parquet",
-      "sha256": "a6550fef99173b77be6010451dbaf35730306da06de2c6a9649b0227beefd164",
-      "bytes": 142825,
-      "rows": 13,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000984-n000004-0000-08f00592581109c5.parquet",
-      "sha256": "08f00592581109c5a4515f3c6e9aaa45b6ca5e5c2e2e1ddc1c251af32204d2cc",
-      "bytes": 164041,
-      "rows": 3,
-      "revision": "ba04f63844aba3b8d474261776a435cb0be370e4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:985",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000984.lean\",\"a14af3b35c94516bd942cd0182a490278187d2e4ec2bb8daf5365d3d4bab28b9\",0,\"lean_workbook_plus_29493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000985.lean\",\"a2edb28faa21d8f341ee895cee241e34a3aec72936b8facca1b987c5dedd5e9b\",0,\"lean_workbook_plus_27993\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000986.lean\",\"e383c26ee47bad4315434762bd04a67a97d6157d33735cb02aa1c6789ba4e79b\",0,\"lean_workbook_21564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142825,
+      "path": "data/train/pce/oproofs-s00002-r00000984-n000004-0000-a6550fef99173b77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a6550fef99173b77be6010451dbaf35730306da06de2c6a9649b0227beefd164"
+    },
+    {
+      "bytes": 164041,
+      "path": "data/internal_test/pce/oproofs-s00002-r00000984-n000004-0000-08f00592581109c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "08f00592581109c5a4515f3c6e9aaa45b6ca5e5c2e2e1ddc1c251af32204d2cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000988-n000004.json b/manifests/batches/oproofs/s00002-r00000988-n000004.json
index fc833b2df0bca4bf335d48181ee1bddad024ba68..716621f32365a11c3ade818f8653607d03277f1b 100644
--- a/manifests/batches/oproofs/s00002-r00000988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000988-n000004",
   "batch_fingerprint": "aa08bd89d0c0ebb2a0a7efe47e4f1638552e04c9c73aa4d515ec271449b2d55c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000988-n000004-0000-3a699430378e88a0.parquet",
-      "sha256": "3a699430378e88a045a62af4b80f351abe96a1fae4c237683b9fa451610daf82",
-      "bytes": 381172,
-      "rows": 29,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000989.lean\",\"953f3e65ec1ffa190e247d319df2ce327958b8eaf57a8a2eb656ff38099733a1\",0,\"lean_workbook_32781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000990.lean\",\"7ec990806ae939ee9d62af7aea7a315314cb8637c0446f688fcee8e1e92457ab\",0,\"lean_workbook_plus_49123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000991.lean\",\"fdb9af04b7c776b61ab7136f1d2075eecc427f1b5e69d706b7c1abc35b3777a4\",0,\"lean_workbook_plus_71699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381172,
+      "path": "data/train/p73/oproofs-s00002-r00000988-n000004-0000-3a699430378e88a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "3a699430378e88a045a62af4b80f351abe96a1fae4c237683b9fa451610daf82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000992-n000004.json b/manifests/batches/oproofs/s00002-r00000992-n000004.json
index af3923f80f2c9b4ea417aac8798011630e6fa3c6..8a9c0e6c2e9a061d3632809bfb6fff71ce6440c2 100644
--- a/manifests/batches/oproofs/s00002-r00000992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000992-n000004",
   "batch_fingerprint": "260b4bdb2c3cef139c4a820301a5ea9868e8becbddae54d1d1f79758d13ab7c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000992-n000004-0000-20bb4628d0e95835.parquet",
-      "sha256": "20bb4628d0e958357d806408dcdf6c07f56974f8b9e5465addd447777443877c",
-      "bytes": 202198,
-      "rows": 7,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00000992-n000004-0000-d234b8e97c0d428c.parquet",
-      "sha256": "d234b8e97c0d428c24054496b28f7ac17361751899962e58b59e4082aadc61c1",
-      "bytes": 35079,
-      "rows": 2,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000993.lean\",\"77674c24b0a0eec0269b1522e8b3a44acb3d74476bfbe57511a0edd2052e9066\",0,\"lean_workbook_plus_19789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000994.lean\",\"bec42c42220770546ac00269b9ecd7ebe56474f32c05035554e4df771834bddb\",0,\"lean_workbook_plus_42987\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000995.lean\",\"756d6a829b95b595500c14fae10a376604fc8e5e4dc436d8a706d91a6265c915\",0,\"lean_workbook_plus_48696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202198,
+      "path": "data/train/pc7/oproofs-s00002-r00000992-n000004-0000-20bb4628d0e95835.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "20bb4628d0e958357d806408dcdf6c07f56974f8b9e5465addd447777443877c"
+    },
+    {
+      "bytes": 35079,
+      "path": "data/internal_test/pc7/oproofs-s00002-r00000992-n000004-0000-d234b8e97c0d428c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d234b8e97c0d428c24054496b28f7ac17361751899962e58b59e4082aadc61c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00000996-n000004.json b/manifests/batches/oproofs/s00002-r00000996-n000004.json
index b1c546052ab00d6a89567e95334ec2ad1ec70ecc..605981ec517221401245591c8d86cf6bac98c70c 100644
--- a/manifests/batches/oproofs/s00002-r00000996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00000996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00000996-n000004",
   "batch_fingerprint": "7c73ed9ab885b0d772b425d918db49ac137277ef813c6bda5ac726b0bafb5199",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00000996-n000004-0000-6c277f702eaeb076.parquet",
-      "sha256": "6c277f702eaeb076df87b10d1d5cf637fdc4c8e9b4625bf88e42bbdf234a3ecc",
-      "bytes": 116741,
-      "rows": 19,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000997.lean\",\"21b9a5da66d957b5516b035f4e2281b429a2486029d269ce2545086e346ff872\",0,\"lean_workbook_30464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000998.lean\",\"9d3d724259c877bc61a12c850550d0cfd978d2da7789ad3a2dd1be91850c0b4f\",0,\"books_arrangement_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_000999.lean\",\"5f4c133c662bd149a9af8fe7928c900f48f0ea5ae4878eafee7974a3287cbb59\",0,\"lean_workbook_11269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116741,
+      "path": "data/train/p41/oproofs-s00002-r00000996-n000004-0000-6c277f702eaeb076.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6c277f702eaeb076df87b10d1d5cf637fdc4c8e9b4625bf88e42bbdf234a3ecc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001000-n000004.json b/manifests/batches/oproofs/s00002-r00001000-n000004.json
index 3e42ab537bb8b9b7c0b189b8a16e9f00f69bd10a..9e94af62feaf7156746e47c90a50425edc71fbc8 100644
--- a/manifests/batches/oproofs/s00002-r00001000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001000-n000004",
   "batch_fingerprint": "f34844a7b0415f62b980cfd8c921101436999769d83f2186083e737599b6d53a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001000-n000004-0000-17326d07c6a5b9e8.parquet",
-      "sha256": "17326d07c6a5b9e83bbfb055bd716c52d8b966c1c8c047c63a1b98159d69ba24",
-      "bytes": 165142,
-      "rows": 24,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001001.lean\",\"113b8a724f4f419301dd4e95cd2e44b0cb5f7eb2685234238050bf513b959aa4\",0,\"lean_workbook_45866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001002.lean\",\"07ea1bb2d60d35a3853c29573d9e81bc51526015e467bc2db8f855c31d8d3814\",0,\"lean_workbook_38162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001003.lean\",\"2ddb36072290d428dfd5f8733d174e02b7b52fb7938c7af26476835ecc51eaea\",0,\"lean_workbook_plus_21421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165142,
+      "path": "data/train/p7c/oproofs-s00002-r00001000-n000004-0000-17326d07c6a5b9e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "17326d07c6a5b9e83bbfb055bd716c52d8b966c1c8c047c63a1b98159d69ba24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001004-n000004.json b/manifests/batches/oproofs/s00002-r00001004-n000004.json
index 316ed1eb20b1d442ba9934144236902575baa3a3..7baca327f7db2c7686fc4611652d6d17dedd21f3 100644
--- a/manifests/batches/oproofs/s00002-r00001004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001004-n000004",
   "batch_fingerprint": "58a7d3ea40f873caa0bf42f7d4a242fa8b08fdc24fae0af77935ebe07617e0fd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001004-n000004-0000-5b92f5bb6b4a5ce8.parquet",
-      "sha256": "5b92f5bb6b4a5ce8e6ceb55b57cae581ddcfba5182becebee372283845c83558",
-      "bytes": 207338,
-      "rows": 14,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001004-n000004-0000-1915d987e9cc8571.parquet",
-      "sha256": "1915d987e9cc857104f1e93d5edf5b4fa5a0419cba7825ba73188b7ee0e81cd6",
-      "bytes": 224590,
-      "rows": 6,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001005.lean\",\"35e093940ea974ecdcb4424031e6edb7c26c15ab9b96810b3bc5f16dc7d93d41\",0,\"lean_workbook_plus_11307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001006.lean\",\"96cf5c321e8268ddc98c88c1aabd079dcd5396983fac1b1d7d6afcb19f1c87da\",0,\"lean_workbook_plus_81466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001007.lean\",\"afb00a6add91195300f5027801cf97654283034ca6da3b165ba9a58b9c5c3bba\",0,\"lean_workbook_45300\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207338,
+      "path": "data/train/p64/oproofs-s00002-r00001004-n000004-0000-5b92f5bb6b4a5ce8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5b92f5bb6b4a5ce8e6ceb55b57cae581ddcfba5182becebee372283845c83558"
+    },
+    {
+      "bytes": 224590,
+      "path": "data/dev/p64/oproofs-s00002-r00001004-n000004-0000-1915d987e9cc8571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1915d987e9cc857104f1e93d5edf5b4fa5a0419cba7825ba73188b7ee0e81cd6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001008-n000004.json b/manifests/batches/oproofs/s00002-r00001008-n000004.json
index 7189c379090c89ebeb74afc8ececcf08c2b2a62c..f55f1d166fb42d7cdaa30afdda316403ea29ec76 100644
--- a/manifests/batches/oproofs/s00002-r00001008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001008-n000004",
   "batch_fingerprint": "9813cd3b96969dc32617d0223d7d6e049965d3d6ec735fb47cf19b257579fc0d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001008-n000004-0000-a908d18cf92513be.parquet",
-      "sha256": "a908d18cf92513becfb6b4d8b49a02b52d891e4386b74309205ace7d90a7713b",
-      "bytes": 241485,
-      "rows": 16,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001008-n000004-0000-6108ef594919d222.parquet",
-      "sha256": "6108ef594919d2225d68fe8f60efc618af897611e4d32a9ba6a413f16efa5c9c",
-      "bytes": 31771,
-      "rows": 2,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001009.lean\",\"735cc580cdb3f4deef1486d2226c44bd004a26777fca77bc1c6f3b5348c51968\",0,\"lean_workbook_plus_31485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001010.lean\",\"fbd0dbf2c31024670d4e14b134d5fef9444579671ecfc9f10f24e8a375c59fc9\",0,\"lean_workbook_plus_31006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001011.lean\",\"87f7a287ad36bab0622870f410529e58037646cc72ae0ad79196e4a155e39d20\",0,\"lean_workbook_plus_27728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241485,
+      "path": "data/train/p22/oproofs-s00002-r00001008-n000004-0000-a908d18cf92513be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a908d18cf92513becfb6b4d8b49a02b52d891e4386b74309205ace7d90a7713b"
+    },
+    {
+      "bytes": 31771,
+      "path": "data/dev/p22/oproofs-s00002-r00001008-n000004-0000-6108ef594919d222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6108ef594919d2225d68fe8f60efc618af897611e4d32a9ba6a413f16efa5c9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001012-n000004.json b/manifests/batches/oproofs/s00002-r00001012-n000004.json
index fc40c8d089906c00cab46d5b76a807a32b5958c7..6b8018b6b547f2e341c0c6f592b4adc4c2a4f2ae 100644
--- a/manifests/batches/oproofs/s00002-r00001012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001012-n000004",
   "batch_fingerprint": "342e8e84844d4383169706649634300a5625439e0c99de73bcfc552fa42b2ed6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001012-n000004-0000-5615e31cefb845f7.parquet",
-      "sha256": "5615e31cefb845f7681d95d882a854b65c2c1b44c6ce5e4af6223a4b9b92e176",
-      "bytes": 385446,
-      "rows": 17,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1013",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001013.lean\",\"71a7e75751d2234ae00375a43a356ebc06d1131ebf66394576cfad2d58ab1fed\",0,\"lean_workbook_29849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001014.lean\",\"6800d48c98547cc0aa9c6728261e42cf9de7bf1040a53fba2ac17b45b43d49da\",0,\"cos_max_value_with_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001015.lean\",\"334ab4bf7da3d0dabb06992e793b1595feb0f433a29751345dcd3aac6e1749e8\",0,\"lean_workbook_plus_16544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385446,
+      "path": "data/train/p00/oproofs-s00002-r00001012-n000004-0000-5615e31cefb845f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5615e31cefb845f7681d95d882a854b65c2c1b44c6ce5e4af6223a4b9b92e176"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001016-n000004.json b/manifests/batches/oproofs/s00002-r00001016-n000004.json
index af331fc66cf15ec3b22c5585ba9427605d26b39f..c5f03a3194ccf245854ea7b340d843ee95e4c5cc 100644
--- a/manifests/batches/oproofs/s00002-r00001016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001016-n000004",
   "batch_fingerprint": "9e0613b7a0249e113957ad0bdff756a7a1279621b72c0afa007f06197b9e3d57",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001016-n000004-0000-9466b9c33d9998b9.parquet",
-      "sha256": "9466b9c33d9998b9b86265476ee8f2b9dcfa1b1cca1014d7842e31647ad2bd9b",
-      "bytes": 145751,
-      "rows": 14,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001016-n000004-0000-2930f935b49e5686.parquet",
-      "sha256": "2930f935b49e5686d1e97ab63b84d3e36e1f75da72b3a520387b2342cce6ebbb",
-      "bytes": 88677,
-      "rows": 7,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001017.lean\",\"ebf764d3a91182fb370fb9d4fad7c67b28d4b732611866f2d76ac72082a5c367\",0,\"lean_workbook_plus_51758\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001018.lean\",\"81046b9f1372111643c6d823eb86898ea20c0cbbe495e35d7603141d01fda04b\",0,\"lean_workbook_plus_8687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001019.lean\",\"8ca736d2ccb51261e39137e031a7b3a71a769b9ae28ec8465b8c0514e6dd1739\",0,\"lean_workbook_plus_62693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145751,
+      "path": "data/train/pbf/oproofs-s00002-r00001016-n000004-0000-9466b9c33d9998b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9466b9c33d9998b9b86265476ee8f2b9dcfa1b1cca1014d7842e31647ad2bd9b"
+    },
+    {
+      "bytes": 88677,
+      "path": "data/internal_test/pbf/oproofs-s00002-r00001016-n000004-0000-2930f935b49e5686.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2930f935b49e5686d1e97ab63b84d3e36e1f75da72b3a520387b2342cce6ebbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001020-n000004.json b/manifests/batches/oproofs/s00002-r00001020-n000004.json
index d8d771c07031608810fb0731ea98de7d5cf228f4..7c06b16cd8d2f3d0694b36d3cae3d7c01f850986 100644
--- a/manifests/batches/oproofs/s00002-r00001020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001020-n000004",
   "batch_fingerprint": "fc276be91184b5decde7b5727ee7b6ea7b6dd676f5f17a36037eeb2b9a988526",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001020-n000004-0000-41351c546fd0f37c.parquet",
-      "sha256": "41351c546fd0f37ce9167e1230f313ddd751a8e2b387f608a30f0b9ddce22e92",
-      "bytes": 256454,
-      "rows": 18,
-      "revision": "1cdbf4eb29a6fb52f0f61a25e01712636c2a8816"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001021.lean\",\"c275ef0193e7ecbc3ae55a56349a6bf954d7ef6327e66b069a9099798334b439\",0,\"options_not_equal_seven_fifths\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001022.lean\",\"6f8d2a4c9d16a2040f4e502d977c8e2d34b32492d2962f46c76aec8e08dcbca9\",0,\"lean_workbook_plus_25826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001023.lean\",\"4d172b2a05200c2a13a7547356d1b778bb1af3150f4b1f7e4cc54924c7841950\",0,\"lean_workbook_plus_25284\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256454,
+      "path": "data/train/p10/oproofs-s00002-r00001020-n000004-0000-41351c546fd0f37c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "41351c546fd0f37ce9167e1230f313ddd751a8e2b387f608a30f0b9ddce22e92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001024-n000004.json b/manifests/batches/oproofs/s00002-r00001024-n000004.json
index 38cf193bad72c9f4ed78e9b03ec8ca62c66cca44..ec865096fd3e40fa1423d59e00b83de3da984537 100644
--- a/manifests/batches/oproofs/s00002-r00001024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001024-n000004",
   "batch_fingerprint": "f28893c0a9b85f1ad2e27c416973ea887d4d285c0c36c5fc0d14261012ebd41d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001024-n000004-0000-971b03f354aaa517.parquet",
-      "sha256": "971b03f354aaa517d83162738555764c1c3a4e7f518fc1b613d1fc0bd282d84f",
-      "bytes": 89335,
-      "rows": 10,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001024-n000004-0000-bd71a5be33d90dde.parquet",
-      "sha256": "bd71a5be33d90dde280d9c14f1d58bb81039e6a9cf2bb730f0daff30753c0c21",
-      "bytes": 402855,
-      "rows": 19,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001025.lean\",\"c1cfa103b72b3675df6f7d408a4350f5ea20bb1422b75cfe5ddb804d809e4931\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001026.lean\",\"54b2ad32e6e2ed4d83aec349d2ba134763d851d198028a1bb8e059d3abeab388\",0,\"lean_workbook_plus_22324\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001027.lean\",\"6864f16ed80a5fa9ed53e001519d24c80ed810e1e494a43f9fb931a57fe34e8a\",0,\"lean_workbook_plus_65022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89335,
+      "path": "data/train/p09/oproofs-s00002-r00001024-n000004-0000-971b03f354aaa517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "971b03f354aaa517d83162738555764c1c3a4e7f518fc1b613d1fc0bd282d84f"
+    },
+    {
+      "bytes": 402855,
+      "path": "data/internal_test/p09/oproofs-s00002-r00001024-n000004-0000-bd71a5be33d90dde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "bd71a5be33d90dde280d9c14f1d58bb81039e6a9cf2bb730f0daff30753c0c21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001028-n000004.json b/manifests/batches/oproofs/s00002-r00001028-n000004.json
index 0a2a2349b20fc05482b86115da0b315787095f75..93dceff582e880c664f85f47e0c03c833c8a5631 100644
--- a/manifests/batches/oproofs/s00002-r00001028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001028-n000004",
   "batch_fingerprint": "12cd973209893cd89e29c8855a3cccbb0ed018de6c6bfce9d0432c2d846752b1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001028-n000004-0000-2ed5d7167eff0e4e.parquet",
-      "sha256": "2ed5d7167eff0e4e0b86fd6a676e0337eeb038b03fad79cc181aa594ccace208",
-      "bytes": 159359,
-      "rows": 15,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001029.lean\",\"83d70815d0fad67dc659ffb36f4c69d00caec4b4ee1856db02227e0b7b7b7dba\",0,\"lean_workbook_plus_35056\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001030.lean\",\"1eb9c1cd91c3a91f40c1bf21e6798b56db4c7bb28cf7160041d82c3410f922e2\",0,\"log_exp_ordering\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001031.lean\",\"41acca93f80af67ffde5c9dfc380699a62896c7988a0a4770b5805cfe8cd8385\",0,\"lean_workbook_plus_58468\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159359,
+      "path": "data/train/p80/oproofs-s00002-r00001028-n000004-0000-2ed5d7167eff0e4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2ed5d7167eff0e4e0b86fd6a676e0337eeb038b03fad79cc181aa594ccace208"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001032-n000004.json b/manifests/batches/oproofs/s00002-r00001032-n000004.json
index 98532f7273277680772902975b7f99a274962fbe..679daee9a63785b832f6a4fbf73ba51042f39e0a 100644
--- a/manifests/batches/oproofs/s00002-r00001032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001032-n000004",
   "batch_fingerprint": "55caab2bee373834e6c5a53821966864202e70b32a02c633f81675c874701ef4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001032-n000004-0000-4ad2ce73fbda6783.parquet",
-      "sha256": "4ad2ce73fbda67831150091c5395466b8a05aad3305d2caf96ddd2b63b93e19d",
-      "bytes": 478142,
-      "rows": 18,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1033",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001033.lean\",\"85d1c0148a29768438ab845f80a0d83a26c736cd23a8c0fc074fc5cfe3348f26\",0,\"lean_workbook_plus_6632\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001034.lean\",\"a606503fe3bf09bf35a99a4595a37e9cc0b5e7964dde48f3c880055e362a53a9\",0,\"lean_workbook_36267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001035.lean\",\"bde28dd733347b8f9674166cf55cac5658a165025961802e2374655215dbcecf\",0,\"continued_fraction_equals_five\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 478142,
+      "path": "data/train/p3f/oproofs-s00002-r00001032-n000004-0000-4ad2ce73fbda6783.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4ad2ce73fbda67831150091c5395466b8a05aad3305d2caf96ddd2b63b93e19d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001036-n000004.json b/manifests/batches/oproofs/s00002-r00001036-n000004.json
index 059e59ed8399224c4642a414912eadf90a9031b8..3fdf33a5a5e5dbd1b5058f8e6504b5bb51003e25 100644
--- a/manifests/batches/oproofs/s00002-r00001036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001036-n000004",
   "batch_fingerprint": "ca18037f279f86f6ca3c74cb1a92682576ce15f03d27b14e3dd64282cd3553fe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001036-n000004-0000-fd6046fa95400f13.parquet",
-      "sha256": "fd6046fa95400f132239748c10430e2f5168b12df5f12254a0f598fb79c585c7",
-      "bytes": 598709,
-      "rows": 19,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001037.lean\",\"8120de5b68e78e37c6475e16db6298661700da0e77805c2cbaddf6492a9aa2ba\",0,\"lean_workbook_plus_46416\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001038.lean\",\"d911381a4b1a37c281574b73f2e5f525eb827546b30773b263435f6020635de7\",0,\"drawing_even_numbers_guarantee\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001039.lean\",\"322b12a0af3f6186cf04ca33bf4ccbb9da2ae57aa4d8d7c369e6f90206f5ae3f\",0,\"lean_workbook_20670\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598709,
+      "path": "data/train/p4a/oproofs-s00002-r00001036-n000004-0000-fd6046fa95400f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fd6046fa95400f132239748c10430e2f5168b12df5f12254a0f598fb79c585c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001040-n000004.json b/manifests/batches/oproofs/s00002-r00001040-n000004.json
index fe556a2f122cd9925b13306c9d4927c6d59096d9..bba2a2e340668e45dcaa68411b3bcd3f910e10a5 100644
--- a/manifests/batches/oproofs/s00002-r00001040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001040-n000004",
   "batch_fingerprint": "dfd33d2a046408d69127cbb4df3a39bb00270563d8efbd96186e35f11e0b68ab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001040-n000004-0000-4b107dbceecf36d9.parquet",
-      "sha256": "4b107dbceecf36d95f51443569c5b05de690f972f461b69527df900a0ad816ce",
-      "bytes": 1693766,
-      "rows": 31,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001040-n000004-0001-6d317ae8fde8c588.parquet",
-      "sha256": "6d317ae8fde8c5885ffce2772ad189a148cc608f62ad0155b0f2fb0396253c20",
-      "bytes": 642973,
-      "rows": 7,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1041",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001041.lean\",\"05858605fe987f34134caf1c7430a109109f304170d75c4732d91f05146927e5\",0,\"lean_workbook_plus_80121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001042.lean\",\"1407786b0ca49d2d89687cc8b58b03825adc1968f59fe617633513d457ac9541\",0,\"lean_workbook_plus_18464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001043.lean\",\"1b2857a3a0a6c9ef7d58317bef890d97e929b5e3245329db4b24152cd516f11a\",0,\"lean_workbook_plus_27993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1693766,
+      "path": "data/train/p65/oproofs-s00002-r00001040-n000004-0000-4b107dbceecf36d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "4b107dbceecf36d95f51443569c5b05de690f972f461b69527df900a0ad816ce"
+    },
+    {
+      "bytes": 642973,
+      "path": "data/train/p65/oproofs-s00002-r00001040-n000004-0001-6d317ae8fde8c588.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6d317ae8fde8c5885ffce2772ad189a148cc608f62ad0155b0f2fb0396253c20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001044-n000004.json b/manifests/batches/oproofs/s00002-r00001044-n000004.json
index ffe10ab63ed3c226bc8c39f584d676246ed16a6c..941447f2bf88acac1a4ac912db6c96743d5142f6 100644
--- a/manifests/batches/oproofs/s00002-r00001044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001044-n000004",
   "batch_fingerprint": "9d10ad5daa72b5515cfcbbb2912fb28ad769c839178180d0b3129a1d09f624c6",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001044-n000004-0000-f7f853e3c2b963a2.parquet",
-      "sha256": "f7f853e3c2b963a26c144d9c47466fa84da83b3f878994720e8dd2fe765e0d5e",
-      "bytes": 431034,
-      "rows": 19,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001044-n000004-0000-8eae48e806b658f9.parquet",
-      "sha256": "8eae48e806b658f92d523139e689d3627162a07f531cf62b1b4c5623613898df",
-      "bytes": 137906,
-      "rows": 3,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1045",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001044.lean\",\"b53bd956c4e170206d704f8413562cf56140b1c46ed12a924f217fb1d483449b\",0,\"lean_workbook_plus_29493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001045.lean\",\"6c770d8144b8adcce465b93860eec459f49d1045f7cb8d7a43362b03bf1e2ff2\",0,\"lean_workbook_21564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001046.lean\",\"fd006b87405666f37af8fc23aec29059d35e2f4f2b8b970f740c4c0453270e26\",0,\"lean_workbook_plus_32932\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 431034,
+      "path": "data/train/pd1/oproofs-s00002-r00001044-n000004-0000-f7f853e3c2b963a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f7f853e3c2b963a26c144d9c47466fa84da83b3f878994720e8dd2fe765e0d5e"
+    },
+    {
+      "bytes": 137906,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00001044-n000004-0000-8eae48e806b658f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8eae48e806b658f92d523139e689d3627162a07f531cf62b1b4c5623613898df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001048-n000004.json b/manifests/batches/oproofs/s00002-r00001048-n000004.json
index 72b81bec1be33798057c73e51b047991d7db9ee9..dbeb10ad378e23a3a2d9ed037820c4d086a62a6d 100644
--- a/manifests/batches/oproofs/s00002-r00001048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001048-n000004",
   "batch_fingerprint": "5a4a89a6aafd4368fcddd25598497de9827d5da62a069ce210f86fd87b042fec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001048-n000004-0000-ed861c8ff145ee48.parquet",
-      "sha256": "ed861c8ff145ee48a8c80255d566f0d66701897cceae2342493e691f2165b418",
-      "bytes": 237996,
-      "rows": 14,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1049",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001049.lean\",\"355899159c2ba1851cbe81c4243b7d3541ec798dd8456f8e96b06884f609cc55\",0,\"lean_workbook_32781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001050.lean\",\"610297ae160c0394aec1e97cc3e1bfb2d8b3bee51054ab160e4eab5a0c864064\",0,\"lean_workbook_plus_49123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001051.lean\",\"818ead001fa8b9ba36c19e4a96e43d1b273d7081daf75fe45f5a52e822d3eddd\",0,\"lean_workbook_plus_71699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237996,
+      "path": "data/train/p6e/oproofs-s00002-r00001048-n000004-0000-ed861c8ff145ee48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ed861c8ff145ee48a8c80255d566f0d66701897cceae2342493e691f2165b418"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001052-n000004.json b/manifests/batches/oproofs/s00002-r00001052-n000004.json
index bfd16157c5e54ec24b0602284850d4e59dec24ad..3e840fb3ade78d71bc7e3005613dd61880b75f83 100644
--- a/manifests/batches/oproofs/s00002-r00001052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001052-n000004",
   "batch_fingerprint": "c15b2b3103c95ae6806471e57ab1553a6b758cad5fefef6a62693f35e9fb9ce5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001052-n000004-0000-d4f6970c6f0c0331.parquet",
-      "sha256": "d4f6970c6f0c0331f062197b6c3b0f8562480149757aa241bb1966eb394d4a68",
-      "bytes": 211356,
-      "rows": 14,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001053.lean\",\"0918cd900c6fa774369ec4be7e25d82de556f38ced0343d5c6f5e23ea8ecbd53\",0,\"lean_workbook_plus_42987\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001054.lean\",\"e685a08d70b3cec8bd9b08915a3b895a2a7eff02fecf89b5eac0871dcb1bfd63\",0,\"sandcastle_towers_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001055.lean\",\"62fc0b8e6f11858ffd28601c8f0812db9e4b3b2b3ac7a1d40a2b799e059d1862\",0,\"lean_workbook_plus_39107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211356,
+      "path": "data/train/p95/oproofs-s00002-r00001052-n000004-0000-d4f6970c6f0c0331.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d4f6970c6f0c0331f062197b6c3b0f8562480149757aa241bb1966eb394d4a68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001056-n000004.json b/manifests/batches/oproofs/s00002-r00001056-n000004.json
index 073ba476b3219068cc59531e4eb6de03d1f44432..5a0972ba1d9def39ae824d91da94c88bce83f8a8 100644
--- a/manifests/batches/oproofs/s00002-r00001056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001056-n000004",
   "batch_fingerprint": "de5457f753d7116aaa9e2a5f07e7e09160f75f1aad8ed12937ab4d88c89d661f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001056-n000004-0000-06d07b5491a1f1bc.parquet",
-      "sha256": "06d07b5491a1f1bc5f79ddde506d47349c94718d94bbc572576d5d66860672be",
-      "bytes": 108126,
-      "rows": 12,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001056-n000004-0000-def1ba77cad8e6e4.parquet",
-      "sha256": "def1ba77cad8e6e4b204069b96a51a54a4ecc8f36850c2495c12688d78810177",
-      "bytes": 33990,
-      "rows": 3,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001057.lean\",\"6e33cfb86194f615ee46e68548a73721cf47cfd68f2cb5554232bb92b752d6b8\",0,\"lean_workbook_11269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001058.lean\",\"ee3c1d02a8a2c53bccda99f727ece4c81d32d6142f8d52fa878a4f299cc8f1db\",0,\"lean_workbook_45866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001059.lean\",\"cec05ac312fe70e3a7fba7a5f767d3675ee644381360e1d65d8a81f8ef7150fe\",0,\"lean_workbook_38162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108126,
+      "path": "data/train/p02/oproofs-s00002-r00001056-n000004-0000-06d07b5491a1f1bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "06d07b5491a1f1bc5f79ddde506d47349c94718d94bbc572576d5d66860672be"
+    },
+    {
+      "bytes": 33990,
+      "path": "data/dev/p02/oproofs-s00002-r00001056-n000004-0000-def1ba77cad8e6e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "def1ba77cad8e6e4b204069b96a51a54a4ecc8f36850c2495c12688d78810177"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001060-n000004.json b/manifests/batches/oproofs/s00002-r00001060-n000004.json
index 7c443526f430a589ad13571ca86164afef300e7f..76941d63b69e8b62f933526f2849e2dee0b2c705 100644
--- a/manifests/batches/oproofs/s00002-r00001060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001060-n000004",
   "batch_fingerprint": "3379d0a9f806f633295072bf8f135e5755582306a879dfaa07accf9590fa8d1d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001060-n000004-0000-bb6499e583cadd47.parquet",
-      "sha256": "bb6499e583cadd47de788fac41b3f5aa85c17ec12bca672c640bc934cf11dc1e",
-      "bytes": 134676,
-      "rows": 10,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001061.lean\",\"2d0d39c26702472702b8595f89de0348d0c3a93ae63b02e318ef38f8e2854597\",0,\"lean_workbook_plus_7777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001062.lean\",\"3c0af75c8f585069a1afa8d89e82506a14547b15fd47f3d0c52fcb51c48ed5f8\",0,\"lean_workbook_plus_76167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001063.lean\",\"5c1d4805620b11fe991b6b1c723a7a9542f5fd3399196c0965561a033513d56d\",0,\"jewelry_beads_count\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134676,
+      "path": "data/train/p25/oproofs-s00002-r00001060-n000004-0000-bb6499e583cadd47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bb6499e583cadd47de788fac41b3f5aa85c17ec12bca672c640bc934cf11dc1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001064-n000004.json b/manifests/batches/oproofs/s00002-r00001064-n000004.json
index 81ca9c358ba31553e854d1ce8a2d4bb6c13cd471..2a4bff85f5b6a219e152d3296a5f93b53aafd939 100644
--- a/manifests/batches/oproofs/s00002-r00001064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001064-n000004",
   "batch_fingerprint": "888e26b10148292e014aa8de865189fc149548ce8c1632f3bcd4c674b8139482",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001064-n000004-0000-7e7bbac08a3d4249.parquet",
-      "sha256": "7e7bbac08a3d4249ff94b2b3336624947b0276401600a2a92dc6fc970e8afdff",
-      "bytes": 320417,
-      "rows": 17,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1065",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001065.lean\",\"14f502e16bbe4692dd149cfbbc965cd1f179fa11c722f059f2db58710cb8193f\",0,\"lean_workbook_plus_66103\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001066.lean\",\"a8ddb4b5c1968cf894d19822ff1a17c4a14ea5ef83d44bb06c01b559c5043dcc\",0,\"lean_workbook_plus_39099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001067.lean\",\"108281a1959974043aab48f90e6697c8dc09febd6b89c062d2f0d2ea5361a64e\",0,\"lean_workbook_plus_48147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320417,
+      "path": "data/train/p09/oproofs-s00002-r00001064-n000004-0000-7e7bbac08a3d4249.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7e7bbac08a3d4249ff94b2b3336624947b0276401600a2a92dc6fc970e8afdff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001068-n000004.json b/manifests/batches/oproofs/s00002-r00001068-n000004.json
index 6cf4a1abde58d3f4ffe0bfa93adbddd37adeea66..411a834de1a004aa015e93a21239475ff931defe 100644
--- a/manifests/batches/oproofs/s00002-r00001068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001068-n000004",
   "batch_fingerprint": "67c11c78fa0c6da5f219eb270f68559f1b9bda3efd543e27453d201f57336031",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001068-n000004-0000-5241bb6c31274453.parquet",
-      "sha256": "5241bb6c31274453a4d0e753bb95b8e7e5bea08f37786dea23605ec3a18fad72",
-      "bytes": 187033,
-      "rows": 11,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001068-n000004-0000-614b3606a3df3feb.parquet",
-      "sha256": "614b3606a3df3feb96c0f7a0d6ca01330676135f6c8da9d953c136dc6b8bd896",
-      "bytes": 31683,
-      "rows": 2,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001069.lean\",\"7ed1a433d2be7cd2c59bdd69059dbc4227fdb0d994a6b449a00f278238f0e555\",0,\"optimal_price_reduction\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001070.lean\",\"d8966cf3178e8311c1fe08533fbb3727549ed53e008fbfa135ae0c968d73db69\",0,\"lean_workbook_plus_31006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001071.lean\",\"60a87d8f77fe7983998ec1dbbbe24cebab04352e6d6dd3d9f04c0338686c3d1d\",0,\"lean_workbook_plus_31485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187033,
+      "path": "data/train/p8e/oproofs-s00002-r00001068-n000004-0000-5241bb6c31274453.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5241bb6c31274453a4d0e753bb95b8e7e5bea08f37786dea23605ec3a18fad72"
+    },
+    {
+      "bytes": 31683,
+      "path": "data/dev/p8e/oproofs-s00002-r00001068-n000004-0000-614b3606a3df3feb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "614b3606a3df3feb96c0f7a0d6ca01330676135f6c8da9d953c136dc6b8bd896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001072-n000004.json b/manifests/batches/oproofs/s00002-r00001072-n000004.json
index 970405861d174532f74ae77679d1408266e27b7b..dcada7f83ab4f6e04c1a2282765bd88c52d9460e 100644
--- a/manifests/batches/oproofs/s00002-r00001072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001072-n000004",
   "batch_fingerprint": "28519d22f12e051d9a1082701fff5909822e99838478bb3f423e0a09352a86d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001072-n000004-0000-ad0682f6f2f82a0f.parquet",
-      "sha256": "ad0682f6f2f82a0fae091b714a7b5c22eeac2ffd860c803d9c997e6280e05e49",
-      "bytes": 122811,
-      "rows": 8,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001072-n000004-0000-9df5285da3389156.parquet",
-      "sha256": "9df5285da3389156326816ba8ec540f39595d5d115357a76110fc2d345fe2e83",
-      "bytes": 77767,
-      "rows": 4,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1073",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001073.lean\",\"705c40eb779a29782dfce7cb995b9566c443d11221cc18b5cf110fe12f3d1896\",0,\"lean_workbook_plus_25216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001074.lean\",\"624204face7c21fb71a58ab73a6368f8e4645859815c03afdc775c1617a439d3\",0,\"lean_workbook_2348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001075.lean\",\"3fdebb68a7b541d84e43f9ece28b1846a5a52d051d45ba84387ea02123d85dd1\",0,\"lean_workbook_plus_57989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122811,
+      "path": "data/train/pa5/oproofs-s00002-r00001072-n000004-0000-ad0682f6f2f82a0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ad0682f6f2f82a0fae091b714a7b5c22eeac2ffd860c803d9c997e6280e05e49"
+    },
+    {
+      "bytes": 77767,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00001072-n000004-0000-9df5285da3389156.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9df5285da3389156326816ba8ec540f39595d5d115357a76110fc2d345fe2e83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001076-n000004.json b/manifests/batches/oproofs/s00002-r00001076-n000004.json
index 3a2cafc83a0400f55f55e3da3728eda1a9967bb7..224c39cf6357e5685f919ad8d85214a4e4f2aa36 100644
--- a/manifests/batches/oproofs/s00002-r00001076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001076-n000004",
   "batch_fingerprint": "3a24c839754e919ea3549fca945a9677edb345671e185c5c2d3c92863ebb46e8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001076-n000004-0000-bdd573200e5a9cf3.parquet",
-      "sha256": "bdd573200e5a9cf39991e250b74fd5cf6c594333f86ce40ad732eeb15341b77a",
-      "bytes": 242191,
-      "rows": 16,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001077.lean\",\"5ec179201fc6cecc683e80fdcf98fc81aa79e3580d3072bb9f5a8cebc7caeb09\",0,\"lean_workbook_plus_16544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001078.lean\",\"24f2ef49d839fc2ecba33df050d96a0b7fe1f8dc412cced972e8d0071e8d0842\",0,\"lean_workbook_plus_51758\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001079.lean\",\"71dbe0a8d3aef95a994026ff76755d4e26e84167895b7c414c9a295d46a05e37\",0,\"lean_workbook_plus_8687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242191,
+      "path": "data/train/p00/oproofs-s00002-r00001076-n000004-0000-bdd573200e5a9cf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bdd573200e5a9cf39991e250b74fd5cf6c594333f86ce40ad732eeb15341b77a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001080-n000004.json b/manifests/batches/oproofs/s00002-r00001080-n000004.json
index 26a1d44da660b0b686e0be06e65feb31f5000889..fbefa74f92e7782895bdcc61f6d17647befa92e1 100644
--- a/manifests/batches/oproofs/s00002-r00001080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001080-n000004",
   "batch_fingerprint": "3662b7b5c7d6818b78702867f55ca348714706559f6c250b61eec12f76470299",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001080-n000004-0000-5f8a4c6a98dd067d.parquet",
-      "sha256": "5f8a4c6a98dd067d9d68f82e6fe72e9c839194d86dd4bd6f5b22518ba6952927",
-      "bytes": 224152,
-      "rows": 19,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001080-n000004-0000-5c1383f61101f546.parquet",
-      "sha256": "5c1383f61101f546b7bf62d2f2f5636586c9902d8269fd266db43126ccdeecfb",
-      "bytes": 81945,
-      "rows": 5,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001081.lean\",\"490378efadd0e606d92c7050eddd819561c2325e141890195081e5c1291ad48e\",0,\"lean_workbook_plus_27728\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001082.lean\",\"2ec0959123c87f9d4e5cf65806eabfe87195872adc8fa0c5780df8452b807a3a\",0,\"lean_workbook_plus_72478\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001083.lean\",\"c5cfd4889fec326f33cc0f8504ccdf144559a573bd45d764bd8754c408ed7d47\",0,\"lean_workbook_11445\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224152,
+      "path": "data/train/pad/oproofs-s00002-r00001080-n000004-0000-5f8a4c6a98dd067d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5f8a4c6a98dd067d9d68f82e6fe72e9c839194d86dd4bd6f5b22518ba6952927"
+    },
+    {
+      "bytes": 81945,
+      "path": "data/internal_test/pad/oproofs-s00002-r00001080-n000004-0000-5c1383f61101f546.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5c1383f61101f546b7bf62d2f2f5636586c9902d8269fd266db43126ccdeecfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001084-n000004.json b/manifests/batches/oproofs/s00002-r00001084-n000004.json
index 5f8c6e04f033acf3d1dbdb526868d32dafcdb7a7..f3e8d8b4a971b96dfd557b3cdfa22cd96448c6a2 100644
--- a/manifests/batches/oproofs/s00002-r00001084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001084-n000004",
   "batch_fingerprint": "5ebd82fedfd957fe16df9a55ef6ef7c9fa710ca885e21d73aee76a35d49f46c6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001084-n000004-0000-536f94e2008e20d0.parquet",
-      "sha256": "536f94e2008e20d042391b6d132a96c54e22ac2a63244cef8bdbaa90c2acbb7d",
-      "bytes": 172236,
-      "rows": 24,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1085",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001085.lean\",\"b3540917540bf5583cfeb72f5a72c28670dc496e326086b0583d1427c47d5c1b\",0,\"cos_max_value_with_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001086.lean\",\"581bfc50c762fbf3108a950ad6e6ccd696c9ed1b3f7f99a281e19ec7192e54ad\",0,\"lean_workbook_plus_67433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001087.lean\",\"8392c2bfd4b8342d132d759f65820ab66ee02681d7b5f12f6f7d0762d88c8b11\",0,\"lean_workbook_plus_58851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172236,
+      "path": "data/train/p72/oproofs-s00002-r00001084-n000004-0000-536f94e2008e20d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "536f94e2008e20d042391b6d132a96c54e22ac2a63244cef8bdbaa90c2acbb7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001088-n000004.json b/manifests/batches/oproofs/s00002-r00001088-n000004.json
index fa9a4ca32362ad4520d2381976ea820a40e0352a..a9cc55052d1342210fc6e9a7e05eda95b6a3bc8c 100644
--- a/manifests/batches/oproofs/s00002-r00001088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001088-n000004",
   "batch_fingerprint": "70090482aa977954598d422356afd9d46ab023f82e8132991daf0c8b4104dea4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001088-n000004-0000-a3f462c730db01d1.parquet",
-      "sha256": "a3f462c730db01d1bee6d6fe09397ed26ac577c36bc9b274bf6df103e478c3b1",
-      "bytes": 183596,
-      "rows": 14,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001088-n000004-0000-1b7e962541a8e03d.parquet",
-      "sha256": "1b7e962541a8e03d1d6bd4a73af67f5c5ffafa301d0a65098a14d37f3adcfe31",
-      "bytes": 114309,
-      "rows": 4,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001089.lean\",\"1748542a5cc7510e7cf9fad32895aadd7cf10f9c1211ad1e1358e3b846546614\",0,\"lean_workbook_14339\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001090.lean\",\"423132a8a30b08446a284d6c22fe2ac5a86e5278281e7000d546e120e1d3ca76\",0,\"lean_workbook_plus_79638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001091.lean\",\"6dc56a0ca62506391d64008b81590c64c510cf70785822cd6ad7110f87024964\",0,\"lean_workbook_27450\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183596,
+      "path": "data/train/p39/oproofs-s00002-r00001088-n000004-0000-a3f462c730db01d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a3f462c730db01d1bee6d6fe09397ed26ac577c36bc9b274bf6df103e478c3b1"
+    },
+    {
+      "bytes": 114309,
+      "path": "data/internal_test/p39/oproofs-s00002-r00001088-n000004-0000-1b7e962541a8e03d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1b7e962541a8e03d1d6bd4a73af67f5c5ffafa301d0a65098a14d37f3adcfe31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001092-n000004.json b/manifests/batches/oproofs/s00002-r00001092-n000004.json
index d99bb5b2ff8b91ddff57a74d5049c5658b34fa75..30a47bf529122d0d178c1c8519491e1861e0c11e 100644
--- a/manifests/batches/oproofs/s00002-r00001092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001092-n000004",
   "batch_fingerprint": "ed1a10e6edd2baed9d55f39071f172eda7d02be99137bd626a74f9ca3b3705f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001092-n000004-0000-afdc27ae90ca3cb8.parquet",
-      "sha256": "afdc27ae90ca3cb850f2a887f7a6690ccb28589a028428f477bc7f4fbcd8cc07",
-      "bytes": 448797,
-      "rows": 13,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001093.lean\",\"6f2a6a6d9cf780e7568a4f5f648b9c49956b3e3c06d2be1fa5c553838dcb48b1\",0,\"lean_workbook_plus_55701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001094.lean\",\"db2af3aa8982792fb2abb5f26bc64fb50d769c411a729fcbdbc9a4b21b63ba8c\",0,\"lean_workbook_plus_35056\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001095.lean\",\"e8e0b5e3cf61e4fb9a8ccb0b23d371df776f555efce0f1549351eca8143782f3\",0,\"log_exp_ordering\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 448797,
+      "path": "data/train/p2f/oproofs-s00002-r00001092-n000004-0000-afdc27ae90ca3cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "afdc27ae90ca3cb850f2a887f7a6690ccb28589a028428f477bc7f4fbcd8cc07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001096-n000004.json b/manifests/batches/oproofs/s00002-r00001096-n000004.json
index 7b1cc71b2dbe6f0b6be4bad7e5280a54d4aaf17c..3b2d764445a16eaa26b7a40ceac7db2fd2a9f5f6 100644
--- a/manifests/batches/oproofs/s00002-r00001096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001096-n000004",
   "batch_fingerprint": "f1c2a6db391c2fdd8fbf8e1bd92ff563192febfbd008a33b24c518c1ce6607f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001096-n000004-0000-8f417b08461c58b3.parquet",
-      "sha256": "8f417b08461c58b378f28346f92aa8531854ebd2105132e765f821d8f413dc06",
-      "bytes": 292764,
-      "rows": 25,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001097.lean\",\"ad36da79e2776a4ff2c82ada8e0ae0fb3c923cf795e9d6d688f206ff23ed6c13\",0,\"lean_workbook_plus_58468\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001098.lean\",\"e1d803e47bed86c509f43f27d10854c8be76bc6cf0a3c62cdc9844f9f25bce8c\",0,\"lean_workbook_plus_6632\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001099.lean\",\"613103ee2f8d902e2fda8e8b5427084c4a3a76379bcd0e94d70685f7cc4e8e69\",0,\"lean_workbook_36267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292764,
+      "path": "data/train/p4a/oproofs-s00002-r00001096-n000004-0000-8f417b08461c58b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "8f417b08461c58b378f28346f92aa8531854ebd2105132e765f821d8f413dc06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001100-n000004.json b/manifests/batches/oproofs/s00002-r00001100-n000004.json
index 57992df15c5bfbed9b01241d5b19fdce3e88c508..cadc4fad9a6af76be38837811638721a4a9aa87b 100644
--- a/manifests/batches/oproofs/s00002-r00001100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001100-n000004",
   "batch_fingerprint": "1267232fdfa8135ced1564b033b9970806cd7336dd198eacdf5371be3943c637",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001100-n000004-0000-39ee058ce13d308e.parquet",
-      "sha256": "39ee058ce13d308e8f1fab0df4262bbb859530eb336a5ace711db30501693ccf",
-      "bytes": 207787,
-      "rows": 19,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001101.lean\",\"8a23399e7a3138f63d90f8b1cd6fd0d90aa83bb5bb61f952cedbbf9bc76580fd\",0,\"lean_workbook_plus_46416\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001102.lean\",\"878b9f282eb4724a8f7a5d3610e4652e2c6d1b4c4579135f855723dacad62eb1\",0,\"lean_workbook_13476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001103.lean\",\"63cc206be7e1abc2c4bf9fe9df802b9a5e3749978aa5a81c6cf2ddeb02e13975\",0,\"lean_workbook_11905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207787,
+      "path": "data/train/pbe/oproofs-s00002-r00001100-n000004-0000-39ee058ce13d308e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "39ee058ce13d308e8f1fab0df4262bbb859530eb336a5ace711db30501693ccf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001104-n000004.json b/manifests/batches/oproofs/s00002-r00001104-n000004.json
index f65e38de99ddd0e1c80526f64b5ab8d935e1351e..38d5a854f129ce810bd96cb138e37ebd9712624a 100644
--- a/manifests/batches/oproofs/s00002-r00001104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001104-n000004",
   "batch_fingerprint": "806d5e083e4b9e82b1bcde55f187cba2266e0567939602704b8b736eabdae926",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001104-n000004-0000-c4b7f7e628a32708.parquet",
-      "sha256": "c4b7f7e628a32708584c0f51f7568271d6b9e4cdfb141e0fe0adf791ed22be39",
-      "bytes": 856483,
-      "rows": 29,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001105.lean\",\"22cfa3b6c65ee321e95ec3607ca20480eafbbebd414b1af2ef1160f3c39960e1\",0,\"lean_workbook_plus_25377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001106.lean\",\"349fa7dc740a5c91db9b2e96238ea49022c923a7036468002bf9986bf9747466\",0,\"lean_workbook_plus_82323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001107.lean\",\"f4bb8c2bf70811ab9eac8b2f483a49c11616004bf6132215e38e02ecec4aeb5a\",0,\"lean_workbook_plus_27993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 856483,
+      "path": "data/train/p93/oproofs-s00002-r00001104-n000004-0000-c4b7f7e628a32708.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c4b7f7e628a32708584c0f51f7568271d6b9e4cdfb141e0fe0adf791ed22be39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001108-n000004.json b/manifests/batches/oproofs/s00002-r00001108-n000004.json
index 138ea556e76d691a913d413914eaa970ed85394e..56d3227757ef37ad326d93b08978e7d801491f04 100644
--- a/manifests/batches/oproofs/s00002-r00001108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001108-n000004",
   "batch_fingerprint": "2575e5c031009c8146c7f257e8c3e3dafa963b925c4a9b67ac530e422a5c7f99",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001108-n000004-0000-9022ba156fc46bc8.parquet",
-      "sha256": "9022ba156fc46bc859bad19715b639a35e154466dffd4616504ee46841b003fb",
-      "bytes": 1006705,
-      "rows": 21,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001109.lean\",\"6f8d30bb2f065749c6723fab94599ebd948b5747fff15ec3be37163e57da8a87\",0,\"lean_workbook_plus_38029\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001110.lean\",\"5ff57041ab59215762131feac0055f06a8c9107116434ea96f8a5fe8f3c2e2d8\",0,\"cheese_surface_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001111.lean\",\"08ab86c9f70f019d42f6aee25afa1255d8200157b47d0e513ba26992026c3079\",0,\"lean_workbook_plus_3930\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1006705,
+      "path": "data/train/pdf/oproofs-s00002-r00001108-n000004-0000-9022ba156fc46bc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9022ba156fc46bc859bad19715b639a35e154466dffd4616504ee46841b003fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001112-n000004.json b/manifests/batches/oproofs/s00002-r00001112-n000004.json
index 923b2fddb41b1dfa36d32f17b558249404cd7122..89becde911855d288e8f3c07e858d69630a084af 100644
--- a/manifests/batches/oproofs/s00002-r00001112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001112-n000004",
   "batch_fingerprint": "082592aa5f48d211ea6a9a71871e8fe5a331b51fb8db2ded1e5473b1a464bc25",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001112-n000004-0000-2ecd1d9deb89a5d6.parquet",
-      "sha256": "2ecd1d9deb89a5d619d481d21722c256f31ccfb2c288a4dc83976f883b7dccb9",
-      "bytes": 234112,
-      "rows": 15,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001112-n000004-0000-095e6f528c25ba94.parquet",
-      "sha256": "095e6f528c25ba942dab298efc8a994593a9d72b664038ef6d3499851a363c93",
-      "bytes": 66010,
-      "rows": 5,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001113.lean\",\"161c2218543837b5722d4788c4689c1bf5b5ba971ec995ab34aa97fa48308f02\",0,\"lean_workbook_plus_16670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001114.lean\",\"35ce0bb669c100d5010bd2fdc97feea5da93c75cf1c8e88fb5448d8a76dde3a0\",0,\"lean_workbook_plus_12205\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001115.lean\",\"69ebc584986e35087c8de4e2e800ea81b99bee5a6f8554a528fe529e73ee3717\",0,\"lean_workbook_plus_30290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234112,
+      "path": "data/train/p09/oproofs-s00002-r00001112-n000004-0000-2ecd1d9deb89a5d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2ecd1d9deb89a5d619d481d21722c256f31ccfb2c288a4dc83976f883b7dccb9"
+    },
+    {
+      "bytes": 66010,
+      "path": "data/internal_test/p09/oproofs-s00002-r00001112-n000004-0000-095e6f528c25ba94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "095e6f528c25ba942dab298efc8a994593a9d72b664038ef6d3499851a363c93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001116-n000004.json b/manifests/batches/oproofs/s00002-r00001116-n000004.json
index 84fb15c198a91748fc3d52eaeb221a0580a2a8b8..49ef9eb24d563e9f9c66403b00287dd0ca5543f5 100644
--- a/manifests/batches/oproofs/s00002-r00001116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001116-n000004",
   "batch_fingerprint": "0358fd8fea18ab2ee4862ee490fc1212397dc92f6efce36953525b3f0c675a0d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001116-n000004-0000-28261569df87ed15.parquet",
-      "sha256": "28261569df87ed15c2b2b60a470dc6ed2585a3da186f090addd0ccbd3d85d643",
-      "bytes": 226110,
-      "rows": 11,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001117.lean\",\"41edcfffc63ec16a7579c4d7d32a14afa905b1f7a4b945403ebeff725a6058ab\",0,\"lean_workbook_plus_44013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001118.lean\",\"7d0b575e7cfbc39b7eab4c9d34ac1ebcf0324b8b8caff413fb9e8c5742842064\",0,\"lean_workbook_plus_60651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001119.lean\",\"e108574f4fe1cb612a4ea12929b66476885632e0e252d3ff9aa906398198ad61\",0,\"lean_workbook_23585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226110,
+      "path": "data/train/pbc/oproofs-s00002-r00001116-n000004-0000-28261569df87ed15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "28261569df87ed15c2b2b60a470dc6ed2585a3da186f090addd0ccbd3d85d643"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001120-n000004.json b/manifests/batches/oproofs/s00002-r00001120-n000004.json
index 3e4c9eb76944c6648cf6da135df43614d3e1a36d..02a157f407d5f85392acc6d0b154d57a8c02bd7e 100644
--- a/manifests/batches/oproofs/s00002-r00001120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001120-n000004",
   "batch_fingerprint": "f0c98ece517cf96e95c23a214ba368bcdd3de0eaa59c2f646c93cf1318e8f8e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001120-n000004-0000-4096ed74befb235e.parquet",
-      "sha256": "4096ed74befb235e7042d047f7297319636e205d3472f801ddd0617f7c39589d",
-      "bytes": 289817,
-      "rows": 25,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001121.lean\",\"9c7c779f6ed44eba590ccd42f096cab181639d974f4795f6d529d428a2e58b62\",0,\"lean_workbook_plus_65974\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001122.lean\",\"b162f8a2e8b953c7d57c7c0065f06a216a6ca41b3d2d0ff680e95df3f7949a45\",0,\"lean_workbook_plus_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001123.lean\",\"34c20d6392d47f13e167f9febd9930571f9c4315492d6d8267e2e9ebb67ae353\",0,\"lean_workbook_plus_37314\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289817,
+      "path": "data/train/p4b/oproofs-s00002-r00001120-n000004-0000-4096ed74befb235e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4096ed74befb235e7042d047f7297319636e205d3472f801ddd0617f7c39589d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001124-n000004.json b/manifests/batches/oproofs/s00002-r00001124-n000004.json
index 9e34070208fe42dcbdd6a3b7a55d35f33dd3f832..40aa013ea1e6fd8729817ea2f6db9df0be6972c9 100644
--- a/manifests/batches/oproofs/s00002-r00001124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001124-n000004",
   "batch_fingerprint": "faec8668f61f8f8c555ccefb6350ef57e5a3598b88183b8c5abc2190dd56057c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001124-n000004-0000-2ae48e179da3fa33.parquet",
-      "sha256": "2ae48e179da3fa333efb0922ddb797763393f9c1bad2f13a6092b0189034e8f8",
-      "bytes": 244949,
-      "rows": 10,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001124-n000004-0000-2bc7f3fd7b7a094e.parquet",
-      "sha256": "2bc7f3fd7b7a094e29e92405ebb388a13cac0a047979d4c51fe6a6e11dee535f",
-      "bytes": 106898,
-      "rows": 5,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001125.lean\",\"26bf406556012b222639e53566adcd01e4ee61dd7236ef7d75406e5249b14e83\",0,\"lean_workbook_plus_75819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001126.lean\",\"4fe81be21500bb8a25d76bbf14d85717f30ceec5791128327713bbe8bfb64924\",0,\"lean_workbook_plus_30545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001127.lean\",\"4b747570cfd56d0903eac1f87b649dec2f3f64036e772e65b4f01f7b269ffd78\",0,\"lean_workbook_plus_18385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244949,
+      "path": "data/train/p8d/oproofs-s00002-r00001124-n000004-0000-2ae48e179da3fa33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2ae48e179da3fa333efb0922ddb797763393f9c1bad2f13a6092b0189034e8f8"
+    },
+    {
+      "bytes": 106898,
+      "path": "data/dev/p8d/oproofs-s00002-r00001124-n000004-0000-2bc7f3fd7b7a094e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2bc7f3fd7b7a094e29e92405ebb388a13cac0a047979d4c51fe6a6e11dee535f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001128-n000004.json b/manifests/batches/oproofs/s00002-r00001128-n000004.json
index c04a71feac3949a076d7ada4dd6d2a2c82dc613b..ab5edb9b26efe04a512fcc37f0581984952aee45 100644
--- a/manifests/batches/oproofs/s00002-r00001128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001128-n000004",
   "batch_fingerprint": "fd63d90876bd78e9fce4bc002cd7d3c0e39862d6a4f52cff2678bfcd002e51a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001128-n000004-0000-9b9189c0160917a4.parquet",
-      "sha256": "9b9189c0160917a4772a0c93757734cec12a8e4fe6d880e0d9d8887124948862",
-      "bytes": 304174,
-      "rows": 21,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001129.lean\",\"f19d7019d50e8f9baca13957fed26599c8db4629fd5cce8ca0a0e79fab68cd2d\",0,\"lean_workbook_43541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001130.lean\",\"51353474c1f7aabf67f9399f82b315703bc5e6626bb8cc754faa6699fbcaf01c\",0,\"triangle_sqrt_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001131.lean\",\"3d7827dfa40380c4d32c620d72d241cbec6c3f54545516c66e0060706db6d09a\",0,\"lean_workbook_52072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304174,
+      "path": "data/train/pa0/oproofs-s00002-r00001128-n000004-0000-9b9189c0160917a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9b9189c0160917a4772a0c93757734cec12a8e4fe6d880e0d9d8887124948862"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001132-n000004.json b/manifests/batches/oproofs/s00002-r00001132-n000004.json
index 8dead86fb29a7037ede4588c03e50aeb729e51c2..073ad36ca4bfd35531adca5ae6d09a14fa661f4e 100644
--- a/manifests/batches/oproofs/s00002-r00001132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001132-n000004",
   "batch_fingerprint": "300b2974791e1ae4f2b1c6595b547495884f218c578bc06781e32d5d27f030d9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001132-n000004-0000-ab379a59bac01a8c.parquet",
-      "sha256": "ab379a59bac01a8cf53bb5725ed7a72e9e7441da11270fd0eb5a5183e659fc22",
-      "bytes": 152596,
-      "rows": 15,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001133.lean\",\"03823c8da6f8838ab0d94bc18000b4a75132e1b4c2e0a0cd6557444a93b2a505\",0,\"lean_workbook_plus_75504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001134.lean\",\"c0a04ac7f30a6d8e24c5f8b0512f7d5ecd2be209215087a0236b66d469944a50\",0,\"lean_workbook_plus_16095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001135.lean\",\"21a58c8bf08d6a84cb51b31eb3a571233493f7db6145df6d657c5efda375fdc6\",0,\"lean_workbook_plus_43045\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152596,
+      "path": "data/train/pf1/oproofs-s00002-r00001132-n000004-0000-ab379a59bac01a8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ab379a59bac01a8cf53bb5725ed7a72e9e7441da11270fd0eb5a5183e659fc22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001136-n000004.json b/manifests/batches/oproofs/s00002-r00001136-n000004.json
index 46cb2c822522213dc93866c800a77843b60ddfa3..9ff1dcac052451f57b2a620ee4571b8cfeaae533 100644
--- a/manifests/batches/oproofs/s00002-r00001136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001136-n000004",
   "batch_fingerprint": "ca07e2d35197d26a09ae58c0b67ee331f8500c3303ca52dc7c1934dccc8e6e5e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001136-n000004-0000-2053130c2be94740.parquet",
-      "sha256": "2053130c2be94740691ed50bf82e03309a403a6722627684c3bd095e935172a6",
-      "bytes": 741226,
-      "rows": 26,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001136-n000004-0000-9a7b03ccad496b91.parquet",
-      "sha256": "9a7b03ccad496b914e0e1edc2f1fe5ae0165bca6e5c476f0b389384131558280",
-      "bytes": 39695,
-      "rows": 3,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001137.lean\",\"d8158a5bbeeac5b842bfc4b1dd5d37fbb49185d95a78c3dad89b0a9e85c2c065\",0,\"lean_workbook_plus_78187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001138.lean\",\"51b4835140e9ee09d116f4f3a0116d78b6fce2366c120f92874694a40aeea1f2\",0,\"lean_workbook_plus_35435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001139.lean\",\"3856c4ac7c46c5daae4886a2e5bd7b611619e9b624996a16bfd4549a2db94277\",0,\"lean_workbook_plus_70217\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 741226,
+      "path": "data/train/pf7/oproofs-s00002-r00001136-n000004-0000-2053130c2be94740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2053130c2be94740691ed50bf82e03309a403a6722627684c3bd095e935172a6"
+    },
+    {
+      "bytes": 39695,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00001136-n000004-0000-9a7b03ccad496b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9a7b03ccad496b914e0e1edc2f1fe5ae0165bca6e5c476f0b389384131558280"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001140-n000004.json b/manifests/batches/oproofs/s00002-r00001140-n000004.json
index 3495fc6b74c21610d7b5f93c3a39a45897e00fcc..756e6b3ad0b0420c5288ad2a7059fa37cc5a733d 100644
--- a/manifests/batches/oproofs/s00002-r00001140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001140-n000004",
   "batch_fingerprint": "ccf462536a6e0641d02e92bac4ebd42c2430e52f3080d870479800c9eebf991b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001140-n000004-0000-afe6709b748d4221.parquet",
-      "sha256": "afe6709b748d42214e101af413999638ecaef9754b54af635a1f133b0b64dc6d",
-      "bytes": 314518,
-      "rows": 26,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001141.lean\",\"b0931e3072815542ea2c4743bc7de2fb537861a172bef239d20203d72e847d59\",0,\"lean_workbook_plus_67550\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001142.lean\",\"49951181442a43c532094ea355b14ec64318ede38b03a61239c578c2bf20e628\",0,\"lean_workbook_40482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001143.lean\",\"9a8aeaf29de22a474260e353de4c5509be25d0b275ecd2fb7b17d78bd451c44d\",0,\"lean_workbook_plus_65924\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314518,
+      "path": "data/train/pb1/oproofs-s00002-r00001140-n000004-0000-afe6709b748d4221.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "afe6709b748d42214e101af413999638ecaef9754b54af635a1f133b0b64dc6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001144-n000004.json b/manifests/batches/oproofs/s00002-r00001144-n000004.json
index 18729a978db46f2040c72283d436907a24717546..9654d674760eea2c146aecdc7e8af7f728803124 100644
--- a/manifests/batches/oproofs/s00002-r00001144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001144-n000004",
   "batch_fingerprint": "40cab177af7d4da4c2b3ae040ed25ab550df0035464f37c3cff30dbb5117866d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001144-n000004-0000-33537b94f222cf55.parquet",
-      "sha256": "33537b94f222cf552294c7bff90b3979359e0a568b3c054d91def3d30b17fc00",
-      "bytes": 384160,
-      "rows": 19,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001144-n000004-0000-668d0b78c01fdf5a.parquet",
-      "sha256": "668d0b78c01fdf5af89bf671a0a5d66644fe994388f190e67424d15d425f129c",
-      "bytes": 55066,
-      "rows": 3,
-      "revision": "60d6f88bf07fc2470282cabd493c1083cd1afc76"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001145.lean\",\"56083d847875a815104afd693c0652c1b9d139f63d268283254d8bc607a9301d\",0,\"lean_workbook_54740\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001146.lean\",\"8951c4bf54ca60dada46656829e45e8178e8261e134c1e2cb883a7ae313941e5\",0,\"lean_workbook_plus_22401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001147.lean\",\"b44071af1db6ab090a177834d0e889f66bf7ee0aebc15b05e03016691f321d9e\",0,\"lean_workbook_37483\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384160,
+      "path": "data/train/pc6/oproofs-s00002-r00001144-n000004-0000-33537b94f222cf55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "33537b94f222cf552294c7bff90b3979359e0a568b3c054d91def3d30b17fc00"
+    },
+    {
+      "bytes": 55066,
+      "path": "data/internal_test/pc6/oproofs-s00002-r00001144-n000004-0000-668d0b78c01fdf5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "668d0b78c01fdf5af89bf671a0a5d66644fe994388f190e67424d15d425f129c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001148-n000004.json b/manifests/batches/oproofs/s00002-r00001148-n000004.json
index 076968af588c893ae4098ae5c4c06332d44b7b21..1da9ae14d5282c6d115265c0a4934363bd3c1fb9 100644
--- a/manifests/batches/oproofs/s00002-r00001148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001148-n000004",
   "batch_fingerprint": "28952b608f6b03072adb827223c843ed7f8589befcf9f522c2e07bda00d7c9a9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001148-n000004-0000-ec3b1f7f6ce43e74.parquet",
-      "sha256": "ec3b1f7f6ce43e747864e36844fe7bdc4709801055fc4d9f96dceb1153cf6896",
-      "bytes": 122370,
-      "rows": 12,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001148-n000004-0000-c3a657828779876f.parquet",
-      "sha256": "c3a657828779876fffc55c84b437df08753a5bdddd6a590ea124130adc201ffd",
-      "bytes": 68906,
-      "rows": 3,
-      "revision": "426e01cdbfa752c54e052206874587e23701c910"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001149.lean\",\"6e1a3d1565c69523da6314bfe1c42bf97f635e56cdfd8fb8dfb58bd87df23e31\",0,\"lean_workbook_30366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001150.lean\",\"364a8b4ed11b8f661e402db9f390973b77ee99748c45091670bcefd5b0621f8f\",0,\"lean_workbook_plus_3838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001151.lean\",\"c86f052736126dab0899198550ac57eef9afe4409c66bcde2e6436cfae2e3fb1\",0,\"lean_workbook_plus_35794\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122370,
+      "path": "data/train/p1a/oproofs-s00002-r00001148-n000004-0000-ec3b1f7f6ce43e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ec3b1f7f6ce43e747864e36844fe7bdc4709801055fc4d9f96dceb1153cf6896"
+    },
+    {
+      "bytes": 68906,
+      "path": "data/dev/p1a/oproofs-s00002-r00001148-n000004-0000-c3a657828779876f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3a657828779876fffc55c84b437df08753a5bdddd6a590ea124130adc201ffd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001152-n000004.json b/manifests/batches/oproofs/s00002-r00001152-n000004.json
index 27c14e9fefbab5300a4fcd0f70e8b82c084d3cac..9027a4a3955dce5e1273cf22c4cbef58981e1760 100644
--- a/manifests/batches/oproofs/s00002-r00001152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001152-n000004",
   "batch_fingerprint": "82bb4bd690001cb8ed66aa06a6af643dd759338386ff180841214c0e870a15db",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001152-n000004-0000-d81c1f5d2d4a3452.parquet",
-      "sha256": "d81c1f5d2d4a345205ca671b3f0c535acf67d976676ffc412a4f40829338ede4",
-      "bytes": 417296,
-      "rows": 11,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001153.lean\",\"f8843ca05ec3b0ecb57f069ac2216d088aa71de0d30ef8c41f920cc27d825c62\",0,\"fodd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001154.lean\",\"d096edbb509c90e18e5c29f43bf4892c7f452ceae068b5162904f680c2233f6d\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001155.lean\",\"325ce8c432211c2b3585d8bf2a705c235f79ccaa56062d177043e3da812313a1\",0,\"n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417296,
+      "path": "data/train/p83/oproofs-s00002-r00001152-n000004-0000-d81c1f5d2d4a3452.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d81c1f5d2d4a345205ca671b3f0c535acf67d976676ffc412a4f40829338ede4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001156-n000004.json b/manifests/batches/oproofs/s00002-r00001156-n000004.json
index ee78330cfba2990e33b27689f71135ac144a65eb..7a209bce065a1fbc5894b4a9423de4099fd17239 100644
--- a/manifests/batches/oproofs/s00002-r00001156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001156-n000004",
   "batch_fingerprint": "95e2253f043357f054438d98d71f0b04602d3f68dd5371a6eda7dbdf7ab19e72",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1156",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1157",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1158",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1159"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001156.lean\",\"525d7e754f12d9e54a601d3a513cc0a80d4102d49ca0abc1993ff664f494244f\",0,\"SumOfRoots\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001157.lean\",\"31c804f44e857a6d91ad44e170cb3284e74ceb28218a8f465ce65cf867697706\",0,\"RealPower\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001158.lean\",\"61e523621c1676a0e4816cb55a5ec56eb0909063f334bcbc55829622b346a014\",0,\"sumOfReciprocalSquareRoots\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001159.lean\",\"5ea188b66b2d43c6e4f52f1ceab8ce107136c62ebc664863e34ab98de9bfd5bc\",0,\"max_total_points\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001156-n000004-0000-7a3b012ce9d7ec33.parquet",
-      "sha256": "7a3b012ce9d7ec33d8ee1dc6f6306da542436da84308561c7d28263b5b3cef85",
       "bytes": 1253600,
+      "path": "data/train/p70/oproofs-s00002-r00001156-n000004-0000-7a3b012ce9d7ec33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "7a3b012ce9d7ec33d8ee1dc6f6306da542436da84308561c7d28263b5b3cef85"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001156-n000004-0001-ca2b763e3a3c3281.parquet",
-      "sha256": "ca2b763e3a3c32815b5e6b78024c7f86065ebcb0ec725a2fb149484344a10727",
       "bytes": 450447,
+      "path": "data/train/p70/oproofs-s00002-r00001156-n000004-0001-ca2b763e3a3c3281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "ca2b763e3a3c32815b5e6b78024c7f86065ebcb0ec725a2fb149484344a10727"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001156-n000004-0000-01f92669203d0985.parquet",
-      "sha256": "01f92669203d09856cfcbc9c2f051d1932c2a68e07d70f0b16549e5c99592454",
       "bytes": 106621,
+      "path": "data/internal_test/p70/oproofs-s00002-r00001156-n000004-0000-01f92669203d0985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "01f92669203d09856cfcbc9c2f051d1932c2a68e07d70f0b16549e5c99592454"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1156",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1157",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1158",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1159"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001156.lean\",\"525d7e754f12d9e54a601d3a513cc0a80d4102d49ca0abc1993ff664f494244f\",0,\"SumOfRoots\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001157.lean\",\"31c804f44e857a6d91ad44e170cb3284e74ceb28218a8f465ce65cf867697706\",0,\"RealPower\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001158.lean\",\"61e523621c1676a0e4816cb55a5ec56eb0909063f334bcbc55829622b346a014\",0,\"sumOfReciprocalSquareRoots\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001159.lean\",\"5ea188b66b2d43c6e4f52f1ceab8ce107136c62ebc664863e34ab98de9bfd5bc\",0,\"max_total_points\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001160-n000004.json b/manifests/batches/oproofs/s00002-r00001160-n000004.json
index e0a7a4cc72ed15ddc1086accc4dad36446f14835..06225ddc11ff01a8cd9305af459a98ecc07deec1 100644
--- a/manifests/batches/oproofs/s00002-r00001160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001160-n000004",
   "batch_fingerprint": "091c8759f350b0a124e1bd8ebfb68fe8c298a2508cf2f75f8ae1a8d2ff78acdf",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000001/oproofs-s00002-r00001160-n000004-0000-97744fc10182d204.parquet",
-      "sha256": "97744fc10182d204d702e0f4518b1d0fa5283672b4e1502005fcdb65a42daa03",
-      "bytes": 106999,
-      "rows": 6,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000001/oproofs-s00002-r00001160-n000004-0000-1e4a497fa81fe910.parquet",
-      "sha256": "1e4a497fa81fe910d1a5c40f938fc087cf54297b704fa43d1c46c7d7021dbe7f",
-      "bytes": 132848,
-      "rows": 6,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1162",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001160.lean\",\"b4092905752654a061e0255f24a5cab4f0be49dfcfda3f9560e12490430f6f06\",0,\"gcd_t\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001162.lean\",\"d1cae1d88ac81485a01b5beeb8d055dde690bc2e388e27b7187711b311084db6\",0,\"algebraic_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001163.lean\",\"ad23196e76c16ece1955ee0db638bf26c5b17a6499e6d0c97bf0c5c74bc17175\",0,\"Real.sqrt_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106999,
+      "path": "data/train/pc0/oproofs-s00002-r00001160-n000004-0000-97744fc10182d204.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "97744fc10182d204d702e0f4518b1d0fa5283672b4e1502005fcdb65a42daa03"
+    },
+    {
+      "bytes": 132848,
+      "path": "data/internal_test/pc0/oproofs-s00002-r00001160-n000004-0000-1e4a497fa81fe910.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1e4a497fa81fe910d1a5c40f938fc087cf54297b704fa43d1c46c7d7021dbe7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001164-n000004.json b/manifests/batches/oproofs/s00002-r00001164-n000004.json
index 15744d1a2711b811681fb290e40df18a62abcae8..819cbb122ae8896debe8cbce1ea1f27f41b51b28 100644
--- a/manifests/batches/oproofs/s00002-r00001164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001164-n000004",
   "batch_fingerprint": "0bf7305a381692e63934b2424dc70dc2646a72f58e1ad0e2ce246d44afea7a1e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001164-n000004-0000-9b38c092a925aead.parquet",
-      "sha256": "9b38c092a925aead89ba459e9be49bc618cc057b945415d71eefdd38c99790ce",
-      "bytes": 483006,
-      "rows": 10,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1165",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001165.lean\",\"38ffcde50872c43dcb94adc88f6c3a3fdcdadda8b08a7737bfa8459065828e50\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001166.lean\",\"a9d3046450810acf0ae9b5ecca7f69cdf296d8cd2710f206407e88b0c7a17535\",0,\"lean_workbook_plus_38029\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001167.lean\",\"d356d777a4b1665f1054e9ae228536376df438f75e27b0d49238952fa0c5e241\",0,\"lean_workbook_plus_44013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 483006,
+      "path": "data/train/p48/oproofs-s00002-r00001164-n000004-0000-9b38c092a925aead.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9b38c092a925aead89ba459e9be49bc618cc057b945415d71eefdd38c99790ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001168-n000004.json b/manifests/batches/oproofs/s00002-r00001168-n000004.json
index 162ac9a7a8f09cbde4be959154064fe8eda1dc3b..6670d7ed4b2aea6409652e080d275de5c27eb7f9 100644
--- a/manifests/batches/oproofs/s00002-r00001168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001168-n000004",
   "batch_fingerprint": "4362362b8df886e30759ab0677528ec54f405f60b116629680709c41da5521ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001168-n000004-0000-662e57aac4d04c9e.parquet",
-      "sha256": "662e57aac4d04c9ea5fec26b033d72e5c8b00c02267573f4a4146b9123509b03",
-      "bytes": 185421,
-      "rows": 17,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001169.lean\",\"a2e8044c6f493b6895599635cb025f878a3569e6afcebbf22acca720ce3d2526\",0,\"lean_workbook_23585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001170.lean\",\"a0e827ff60eecb92bc6853c81ebf0ea4a74af58ca42bc3fc0564ea7e6be37c16\",0,\"lean_workbook_plus_37314\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001171.lean\",\"65213c48458448a6d74103bcbdf7a6da9c0bb55823807bda4afdf13461d45d9f\",0,\"lean_workbook_plus_75819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185421,
+      "path": "data/train/p7e/oproofs-s00002-r00001168-n000004-0000-662e57aac4d04c9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "662e57aac4d04c9ea5fec26b033d72e5c8b00c02267573f4a4146b9123509b03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001172-n000004.json b/manifests/batches/oproofs/s00002-r00001172-n000004.json
index 71dbaf71c9448d137719bce52abc2279760ab3e2..a71b28eb15431b551821eeacab5b40ac4cdb781e 100644
--- a/manifests/batches/oproofs/s00002-r00001172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001172-n000004",
   "batch_fingerprint": "0f2e0c50b81d25c2e0d9038f17b67cc5c378c62c3b66e09ec12adbcff1005f7f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001172-n000004-0000-fdcf61a9a4769d84.parquet",
-      "sha256": "fdcf61a9a4769d8487f6c565b2c2bcbbf2e126eb586c0cf8cf3261be45d3f6f6",
-      "bytes": 364434,
-      "rows": 17,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001172-n000004-0000-909ba4c0697cd517.parquet",
-      "sha256": "909ba4c0697cd517a9ea56ebb828d7f5350f186adb468b20c7b574bef3041a73",
-      "bytes": 41993,
-      "rows": 4,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001173.lean\",\"77bdbb76891572bc6caa408fd0a50964b0399e51feccb25af430a10eb6157227\",0,\"smallest_number_with_divisors\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001174.lean\",\"368d150f3a5faa8dda7fdcfe02832c7d6e5906d00455b94a85e684729d324fa0\",0,\"lean_workbook_17387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001175.lean\",\"f90c3173f7aa5b9eb04829891c59b5bd0e72062a2d38cc9e7f346c5f15ca30e4\",0,\"lean_workbook_plus_56321\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 364434,
+      "path": "data/train/p69/oproofs-s00002-r00001172-n000004-0000-fdcf61a9a4769d84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fdcf61a9a4769d8487f6c565b2c2bcbbf2e126eb586c0cf8cf3261be45d3f6f6"
+    },
+    {
+      "bytes": 41993,
+      "path": "data/internal_test/p69/oproofs-s00002-r00001172-n000004-0000-909ba4c0697cd517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "909ba4c0697cd517a9ea56ebb828d7f5350f186adb468b20c7b574bef3041a73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001176-n000004.json b/manifests/batches/oproofs/s00002-r00001176-n000004.json
index 6ebf1598b803ec10b1d4dac751a9f957ad6ae041..2e28bb09ad9c9a504ffe1708d2c23e85b98a5086 100644
--- a/manifests/batches/oproofs/s00002-r00001176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001176-n000004",
   "batch_fingerprint": "0987bf0cc0dd6289b9e6125ed0f4b53aa4b8a09ac330cdfeb337979528a57462",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001176-n000004-0000-000ccfc768065d92.parquet",
-      "sha256": "000ccfc768065d9296cc0dc55d48265e82a1577f2f554223b671d7061d308f85",
-      "bytes": 131052,
-      "rows": 15,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001176-n000004-0000-03c9549a2fd28b39.parquet",
-      "sha256": "03c9549a2fd28b392b6a2231802b955c9dd486ed39d532ee97f658c98e667be5",
-      "bytes": 97409,
-      "rows": 6,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001177.lean\",\"63b6337362c85f2508613cd7ac851f7a096c5f20a27fa7dd44d7250e726ab2dd\",0,\"lean_workbook_plus_16670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001178.lean\",\"3de5c7448c83849d8958e6e3745daf9ac4da258175969221784979e696720328\",0,\"lean_workbook_plus_18385\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001179.lean\",\"04c5a263a3b45fca2d7d688b5cd88f27b191e0d3a3fca2b28e769bd619c556f4\",0,\"lean_workbook_plus_36897\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131052,
+      "path": "data/train/p8d/oproofs-s00002-r00001176-n000004-0000-000ccfc768065d92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "000ccfc768065d9296cc0dc55d48265e82a1577f2f554223b671d7061d308f85"
+    },
+    {
+      "bytes": 97409,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00001176-n000004-0000-03c9549a2fd28b39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "03c9549a2fd28b392b6a2231802b955c9dd486ed39d532ee97f658c98e667be5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001180-n000004.json b/manifests/batches/oproofs/s00002-r00001180-n000004.json
index 79351d133205dc6262f111f9048633f7238e0537..0328171b895473b15d90a6249c2ac71bbe7dbd5c 100644
--- a/manifests/batches/oproofs/s00002-r00001180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001180-n000004",
   "batch_fingerprint": "7dc9295d210279d729b15e4546d2d44e5f96717fccf39c0be42bec971c3eb22e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001180-n000004-0000-2572096801c557ad.parquet",
-      "sha256": "2572096801c557adeda083b2e17066cc7beb11216007efbd7d255efa1ef67d00",
-      "bytes": 345382,
-      "rows": 15,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001181.lean\",\"34601c708a5bcacc7ee7006fddecfd73d658b5234ee1c017322b0d1d885e0220\",0,\"trapezoid_area_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001182.lean\",\"6cbd5cda0dd93f315cfc13ac8ca3103a101b5c91a0cbe98e9cb735d8902976b9\",0,\"lean_workbook_plus_75504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001183.lean\",\"ef8bfeca79029f2a519e11a5e0f433a2433f237aa272fe5a835f168ba42cd713\",0,\"lean_workbook_plus_60992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345382,
+      "path": "data/train/p0a/oproofs-s00002-r00001180-n000004-0000-2572096801c557ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2572096801c557adeda083b2e17066cc7beb11216007efbd7d255efa1ef67d00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001184-n000004.json b/manifests/batches/oproofs/s00002-r00001184-n000004.json
index c461791c52762b8ac88925faab513e53eaf7b1ab..dab92995f63c68c1b251fd6adc20a0663f51bc9c 100644
--- a/manifests/batches/oproofs/s00002-r00001184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001184-n000004",
   "batch_fingerprint": "f927e9d5e601f52f12ab8ca4a4d7f8a6b810bfd5c12dcdb005d55e2e58e801df",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001184-n000004-0000-02d47d27b9836b03.parquet",
-      "sha256": "02d47d27b9836b0366850330031c2dcbb228fb6fd6bb9e2d0114e362c14d9764",
-      "bytes": 486442,
-      "rows": 12,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001184-n000004-0000-6b28803713c70d44.parquet",
-      "sha256": "6b28803713c70d4447c0b6801c5f0d0d65562b4e8946146df2f12881091a1062",
-      "bytes": 41473,
-      "rows": 3,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001185.lean\",\"e4eccdafda9d87e98c53911690ae672c8c3a14d84cc64fe20846954f40910e6a\",0,\"lean_workbook_plus_43045\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001186.lean\",\"7c685434f7c92df213df17625492e0002f85a25cada7d16d505d5f98cdd0ef6f\",0,\"lean_workbook_plus_16095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001187.lean\",\"5c660e8071cdc7923534c3a24e98386042cbbb165d97d017d3bdccc6b5075f73\",0,\"lean_workbook_plus_35435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 486442,
+      "path": "data/train/p9b/oproofs-s00002-r00001184-n000004-0000-02d47d27b9836b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "02d47d27b9836b0366850330031c2dcbb228fb6fd6bb9e2d0114e362c14d9764"
+    },
+    {
+      "bytes": 41473,
+      "path": "data/internal_test/p9b/oproofs-s00002-r00001184-n000004-0000-6b28803713c70d44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6b28803713c70d4447c0b6801c5f0d0d65562b4e8946146df2f12881091a1062"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001188-n000004.json b/manifests/batches/oproofs/s00002-r00001188-n000004.json
index f99b35ce67bb75cfb8a7c1e0b773588a545eb3fe..b2d054ca225507c10411d636479b53681af6654f 100644
--- a/manifests/batches/oproofs/s00002-r00001188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001188-n000004",
   "batch_fingerprint": "d491c2bace333c5be2fd7840ba33df49f76805a264da2923a477a50958716a78",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001188-n000004-0000-6c010c434f2f0fb8.parquet",
-      "sha256": "6c010c434f2f0fb8e1276b893be9cf10e43c8786f26af72c2a1c010dd9e98088",
-      "bytes": 223410,
-      "rows": 17,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001188-n000004-0000-c4e04d153254b802.parquet",
-      "sha256": "c4e04d153254b802913553afb1ca3fc4d12e21b7434dff876ef447246a62ccb7",
-      "bytes": 53635,
-      "rows": 2,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001189.lean\",\"02e1da6df58d0d79a9be0b8e31856b02ff31fb137a7a5ed231bf253ce66986c5\",0,\"lean_workbook_plus_67550\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001190.lean\",\"43bb708dad463edf94e135da46a3fff796775f3d1b90cbefee38a1f76376a1d1\",0,\"quadratic_subset_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001191.lean\",\"e70d152b370ba15f9823e4c840b0925faf22a7a5d7f1235ea1e9f7f7dddb55bb\",0,\"lean_workbook_plus_32915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223410,
+      "path": "data/train/pef/oproofs-s00002-r00001188-n000004-0000-6c010c434f2f0fb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6c010c434f2f0fb8e1276b893be9cf10e43c8786f26af72c2a1c010dd9e98088"
+    },
+    {
+      "bytes": 53635,
+      "path": "data/internal_test/pef/oproofs-s00002-r00001188-n000004-0000-c4e04d153254b802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c4e04d153254b802913553afb1ca3fc4d12e21b7434dff876ef447246a62ccb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001192-n000004.json b/manifests/batches/oproofs/s00002-r00001192-n000004.json
index e1e0456430cb4e04f2732ab6f8676ea2277b3fc0..a43b0bb1ee3dff9e97dac0c1befe65612a4c08ad 100644
--- a/manifests/batches/oproofs/s00002-r00001192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001192-n000004",
   "batch_fingerprint": "ee9d014ee227eee8517cbe483e4d5b7bd011a8a6246def39b35e70643f29abfa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001192-n000004-0000-e86f054146c2c6b2.parquet",
-      "sha256": "e86f054146c2c6b2d3b4dce59532c84c16a553833e4c2e563c202726c847da50",
-      "bytes": 619998,
-      "rows": 29,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001193.lean\",\"200bfc237530d6004272040cd0811aec45cf2822dcb6083177a57d710abadf0e\",0,\"lean_workbook_plus_5673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001194.lean\",\"1bd25ce2d4466fc68b15d6c14cb85445c583d0aa4072c11159cc5e3b8c0fac59\",0,\"lean_workbook_plus_22401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001195.lean\",\"f096ed36b9c7e48657c8ed50b3a4236583947330f33f370ee38f8bdfaff89da7\",0,\"lean_workbook_plus_78187\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619998,
+      "path": "data/train/pde/oproofs-s00002-r00001192-n000004-0000-e86f054146c2c6b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e86f054146c2c6b2d3b4dce59532c84c16a553833e4c2e563c202726c847da50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001196-n000004.json b/manifests/batches/oproofs/s00002-r00001196-n000004.json
index 70889bd48d7c41bdc943e7a24bd310749970a2df..b94509dcebf0e2d56d730bb1908ac66d95b90ccf 100644
--- a/manifests/batches/oproofs/s00002-r00001196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001196-n000004",
   "batch_fingerprint": "ef9f9cc2e14fa98744316100c1e8bad0fc9587e4a6d371360e423f7d34093e99",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001196-n000004-0000-3116c046d3c234b3.parquet",
-      "sha256": "3116c046d3c234b305f08174ec80265633eb9ed5025c0fde15d14c8ab0d598c3",
-      "bytes": 260622,
-      "rows": 18,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001197.lean\",\"43719c3e619bd03f1c7bfd4c85a1ff24b001c7a252fdf1c1338a192063ab4188\",0,\"lean_workbook_plus_3838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001198.lean\",\"e0ce01471cd328438b7b9cc4a5902e06be0cb4f42f46247094750ae6f7387d56\",0,\"lean_workbook_30366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001199.lean\",\"95d8d40a2190f8871fe36cc51c1be5ed5d20ea9db9649f8da0f05560496a9957\",0,\"lean_workbook_plus_67347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260622,
+      "path": "data/train/p8f/oproofs-s00002-r00001196-n000004-0000-3116c046d3c234b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3116c046d3c234b305f08174ec80265633eb9ed5025c0fde15d14c8ab0d598c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001200-n000004.json b/manifests/batches/oproofs/s00002-r00001200-n000004.json
index c421f4270bbe93ed77fc527e94a40a3f876509d7..f2121d7e3259d8f63cb79c6c4c6db930252c68dc 100644
--- a/manifests/batches/oproofs/s00002-r00001200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001200-n000004",
   "batch_fingerprint": "4a31e659b00b09e6bd27536151f6986008aee742ffd5190662b07141a52cd9c1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001200-n000004-0000-c1882560c495fec8.parquet",
-      "sha256": "c1882560c495fec897d09be055012e7e8739977364f896e847ccea8ab7a72bbb",
-      "bytes": 384643,
-      "rows": 20,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001200-n000004-0000-2a4a222d283a4ae5.parquet",
-      "sha256": "2a4a222d283a4ae587556467e2ea58f5686380d5b4486c69be4871f32813161a",
-      "bytes": 72743,
-      "rows": 3,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001201.lean\",\"725aaa356a89272a01d4a7ce821a4f8d2960328312746e840965abed5ef31ae3\",0,\"sum_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001202.lean\",\"008b12f99b3f3ac27e17c57f699f2eb37ec0d0e666f7e1366734c850c11456b4\",0,\"lean_workbook_37483\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001203.lean\",\"b9668558e46c1a5828fc17cf6025e6f5e9211d6cceabbdc520eba9520b9712b2\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384643,
+      "path": "data/train/p71/oproofs-s00002-r00001200-n000004-0000-c1882560c495fec8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c1882560c495fec897d09be055012e7e8739977364f896e847ccea8ab7a72bbb"
+    },
+    {
+      "bytes": 72743,
+      "path": "data/dev/p71/oproofs-s00002-r00001200-n000004-0000-2a4a222d283a4ae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2a4a222d283a4ae587556467e2ea58f5686380d5b4486c69be4871f32813161a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001204-n000004.json b/manifests/batches/oproofs/s00002-r00001204-n000004.json
index 56bbc6553a511f46366d3604c33ef25a98c70c64..a06cb3aa6cf68b1e51b8f93d5c1c636f68e49a7d 100644
--- a/manifests/batches/oproofs/s00002-r00001204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001204-n000004",
   "batch_fingerprint": "16c15ee4e8e7f4832bf4c8390fdbac85b3b656e04745dfc7048496fc54768764",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001204-n000004-0000-77dd3f90c849c33d.parquet",
-      "sha256": "77dd3f90c849c33db5d3188bfc1c463cbe713865e72da15ddc5b04d36381ebde",
-      "bytes": 563037,
-      "rows": 29,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001204-n000004-0000-930c2a56241fb26d.parquet",
-      "sha256": "930c2a56241fb26d264bf1896e8d89232a8d110ea77f6064297a920bd900f3a4",
-      "bytes": 308397,
-      "rows": 5,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001205.lean\",\"6b3f7d5380c14fcf0e55c889bdfd59c72c4118c16b18e0bdd8fe78d5fd4f98da\",0,\"n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001206.lean\",\"21aa451efd424de8ccf3a4e19c18b8487dc722f8362a2877497e28089d03649b\",0,\"Real.sqrt_5\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001207.lean\",\"758b5f143dacaa714acb9a71396374387fb3dc26a4b87bce81d382a61bebe0ee\",0,\"lean_workbook_plus_60536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 563037,
+      "path": "data/train/p78/oproofs-s00002-r00001204-n000004-0000-77dd3f90c849c33d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "77dd3f90c849c33db5d3188bfc1c463cbe713865e72da15ddc5b04d36381ebde"
+    },
+    {
+      "bytes": 308397,
+      "path": "data/internal_test/p78/oproofs-s00002-r00001204-n000004-0000-930c2a56241fb26d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "930c2a56241fb26d264bf1896e8d89232a8d110ea77f6064297a920bd900f3a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001208-n000004.json b/manifests/batches/oproofs/s00002-r00001208-n000004.json
index 5e3e66ccd329cd09c3d11b055241cd0ba8fa991a..f5edbb383e443967285eaeb37d7242766b4d69a6 100644
--- a/manifests/batches/oproofs/s00002-r00001208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001208-n000004",
   "batch_fingerprint": "d074b1ffd00bbd265312050ee21710c91768c60b457f5aa932cd15ae14794c3a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001208-n000004-0000-96d4963c42d87ad8.parquet",
-      "sha256": "96d4963c42d87ad810318e598f3ee34d11794aa6e2c274aa2d8d30f4f6a9d969",
-      "bytes": 357094,
-      "rows": 11,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001208-n000004-0000-689256d72aa0c278.parquet",
-      "sha256": "689256d72aa0c2789a0d065c39afcbbaf0dac7eacf94ae41f9842b07e13af88c",
-      "bytes": 129763,
-      "rows": 13,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001209.lean\",\"2997312b1ba5134be4e53c09f0ff08fe3fa259bb33cc65d9d49dfd7b772e4675\",0,\"algebraic_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001210.lean\",\"1f40ed6026c9b00893969502869a876e5d0578de09eb96fb35a5ff45932abf8c\",0,\"Real.sqrt_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001211.lean\",\"d0d2e22a00be854f0128ea590ac9655bd1bf09d741eb4c316803537f819ad478\",0,\"Real.sqrt_between\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357094,
+      "path": "data/train/p64/oproofs-s00002-r00001208-n000004-0000-96d4963c42d87ad8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "96d4963c42d87ad810318e598f3ee34d11794aa6e2c274aa2d8d30f4f6a9d969"
+    },
+    {
+      "bytes": 129763,
+      "path": "data/internal_test/p64/oproofs-s00002-r00001208-n000004-0000-689256d72aa0c278.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "689256d72aa0c2789a0d065c39afcbbaf0dac7eacf94ae41f9842b07e13af88c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001212-n000004.json b/manifests/batches/oproofs/s00002-r00001212-n000004.json
index c50272e3442d11bcf5ad9d5adfcadf701e4aaca7..50e6828487859d2d6b4d448f2f4195af76eab0d3 100644
--- a/manifests/batches/oproofs/s00002-r00001212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001212-n000004",
   "batch_fingerprint": "8eb1c43992716c89deddcd29d674157468706a701483a8434926ec0e8b8058fc",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1212",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1213",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1214",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1215"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001212.lean\",\"be94425551bb02744ee500b9f6192b7ac0252f345d5b2efcda08bf778940ad39\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001213.lean\",\"e51911aed938ff090e65db19db94c0c380d9dd095fac125d228b3e4d00126c75\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001214.lean\",\"6b0b316bce3a484ade96937b7eddd1a8857effeccd924a1536bbea1faf938302\",0,\"sqrt_sum\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001215.lean\",\"fb31e118c3e9ad8502ad8bffab5bea9e3214dbba88a32c58790af907cb4380d3\",0,\"tanA\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001212-n000004-0000-92543d0cc168245e.parquet",
-      "sha256": "92543d0cc168245eb33b269039e470fb6a9d19902b73a33fc362b9c17877dc45",
       "bytes": 552535,
+      "path": "data/train/p7f/oproofs-s00002-r00001212-n000004-0000-92543d0cc168245e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "92543d0cc168245eb33b269039e470fb6a9d19902b73a33fc362b9c17877dc45"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001212-n000004-0000-ed62c5875f9871d1.parquet",
-      "sha256": "ed62c5875f9871d12705f9ec05f3eab90f79dc9d5cfc69590e28469841b2ef9a",
       "bytes": 1103394,
+      "path": "data/dev/p7f/oproofs-s00002-r00001212-n000004-0000-ed62c5875f9871d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "ed62c5875f9871d12705f9ec05f3eab90f79dc9d5cfc69590e28469841b2ef9a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001212-n000004-0001-bed39176dbbaf55e.parquet",
-      "sha256": "bed39176dbbaf55e0412d377100f2b06589b19218996c3bb2c82a9608b5f81d0",
       "bytes": 412409,
+      "path": "data/dev/p7f/oproofs-s00002-r00001212-n000004-0001-bed39176dbbaf55e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "bed39176dbbaf55e0412d377100f2b06589b19218996c3bb2c82a9608b5f81d0"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001212-n000004-0000-95999e5b0d549247.parquet",
-      "sha256": "95999e5b0d5492473f16bbfad34dd916749374fb75a71235e8e4b30cbe7bf912",
       "bytes": 328419,
+      "path": "data/internal_test/p7f/oproofs-s00002-r00001212-n000004-0000-95999e5b0d549247.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "95999e5b0d5492473f16bbfad34dd916749374fb75a71235e8e4b30cbe7bf912"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1212",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1213",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1214",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1215"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001212.lean\",\"be94425551bb02744ee500b9f6192b7ac0252f345d5b2efcda08bf778940ad39\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001213.lean\",\"e51911aed938ff090e65db19db94c0c380d9dd095fac125d228b3e4d00126c75\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001214.lean\",\"6b0b316bce3a484ade96937b7eddd1a8857effeccd924a1536bbea1faf938302\",0,\"sqrt_sum\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001215.lean\",\"fb31e118c3e9ad8502ad8bffab5bea9e3214dbba88a32c58790af907cb4380d3\",0,\"tanA\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001216-n000004.json b/manifests/batches/oproofs/s00002-r00001216-n000004.json
index 2914c0200a9a314235de52140441055e06903197..56d2b61c993a05e74d0f0a210af31e76be648be2 100644
--- a/manifests/batches/oproofs/s00002-r00001216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001216-n000004",
   "batch_fingerprint": "40e1535ab3b958a37672a969c4e72bccf622a8c5aea35aaec0a0047043e3d2b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001216-n000004-0000-15cfe15e4db6ee49.parquet",
-      "sha256": "15cfe15e4db6ee49986360f8bd8b20c5a96d0f8c5d22c5cfdb93f7e4a35afbc9",
-      "bytes": 34631,
-      "rows": 3,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001216-n000004-0000-3de2764180f12fad.parquet",
-      "sha256": "3de2764180f12fadafc05be892a12193b8a91f302d599495459d67fbb8fc6fe8",
-      "bytes": 374262,
-      "rows": 21,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001217.lean\",\"66ab31fd215856623fa416524b8fa30fbc3498adf1734c0cc10c7591117b6973\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001218.lean\",\"ed91aab529fc36d04a1da792a09e3f3251dfd43f61b302678eba36cc8e07677f\",0,\"cheese_surface_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001219.lean\",\"7920a3e6e8ab81708439309898cba3aa99e9c85ab613ae430a26a2bad600ff0c\",0,\"lean_workbook_plus_75819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 34631,
+      "path": "data/train/peb/oproofs-s00002-r00001216-n000004-0000-15cfe15e4db6ee49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "15cfe15e4db6ee49986360f8bd8b20c5a96d0f8c5d22c5cfdb93f7e4a35afbc9"
+    },
+    {
+      "bytes": 374262,
+      "path": "data/dev/peb/oproofs-s00002-r00001216-n000004-0000-3de2764180f12fad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3de2764180f12fadafc05be892a12193b8a91f302d599495459d67fbb8fc6fe8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001220-n000004.json b/manifests/batches/oproofs/s00002-r00001220-n000004.json
index b6ca59e3d8d05d52b409a2c9ac6266f4ea8ddbfd..acf708872788e5794054dc96226d6d8899c4ddbf 100644
--- a/manifests/batches/oproofs/s00002-r00001220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001220-n000004",
   "batch_fingerprint": "0885f14f78579107f6aeb888210a835520de3cbbe5b8131f43d9c61f83db6105",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001220-n000004-0000-96fc9a94fee8f1a5.parquet",
-      "sha256": "96fc9a94fee8f1a592591b9ccf4af4b305ddae95fe0b616d42db25ff25920d08",
-      "bytes": 125003,
-      "rows": 15,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001220-n000004-0000-ab5d1e6f95e48121.parquet",
-      "sha256": "ab5d1e6f95e48121c0715c228f79188d5d1674bc1f9d8464a12cd4ef653b8e9c",
-      "bytes": 73509,
-      "rows": 5,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001221.lean\",\"118bb1225394d7fee304a06505cb73f90f4d8a9490df73e40274a263addf70a4\",0,\"lean_workbook_plus_24991\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001222.lean\",\"82f256808507aa17707a19843a78a877a7c4436879e58bb005a272b5c61e133d\",0,\"lean_workbook_plus_12205\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001223.lean\",\"16b9e985162102178f139de72b0407cd6d1fa17f14c87d9ea7512ecee5aafdf7\",0,\"lean_workbook_plus_29960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125003,
+      "path": "data/train/pd8/oproofs-s00002-r00001220-n000004-0000-96fc9a94fee8f1a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "96fc9a94fee8f1a592591b9ccf4af4b305ddae95fe0b616d42db25ff25920d08"
+    },
+    {
+      "bytes": 73509,
+      "path": "data/internal_test/pd8/oproofs-s00002-r00001220-n000004-0000-ab5d1e6f95e48121.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ab5d1e6f95e48121c0715c228f79188d5d1674bc1f9d8464a12cd4ef653b8e9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001224-n000004.json b/manifests/batches/oproofs/s00002-r00001224-n000004.json
index e2de14ace912659bbdb2d996ddea0ebdf30d337a..5e5e640bc16830c29ae0644f61501ad5eca3442b 100644
--- a/manifests/batches/oproofs/s00002-r00001224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001224-n000004",
   "batch_fingerprint": "304d5ce2cf494f6f316a673252175f63e67c5050a84565870a3d96f071173dae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001224-n000004-0000-e1e1ed761637cc32.parquet",
-      "sha256": "e1e1ed761637cc3225d9f99388f8cc4cb691018b20beeb6257242f1d9037954b",
-      "bytes": 137023,
-      "rows": 15,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001225.lean\",\"56493a71b1f6cf5562fb9d3521d81d95fca33eb7645331ef9b8f239d7aeb0901\",0,\"lean_workbook_plus_3930\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001226.lean\",\"dde6f4c205f5b90c55a7ebee1ef84cc7baf46bf5b800c637c1e565cc8ebdc6fc\",0,\"lean_workbook_43754\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001227.lean\",\"be84bf2aa419ffc8b6114eb5e5cedc7163a467298dd4abed6803982013f83879\",0,\"lean_workbook_plus_18385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137023,
+      "path": "data/train/pde/oproofs-s00002-r00001224-n000004-0000-e1e1ed761637cc32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e1e1ed761637cc3225d9f99388f8cc4cb691018b20beeb6257242f1d9037954b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001228-n000004.json b/manifests/batches/oproofs/s00002-r00001228-n000004.json
index 3ab5bfcf8a62d10398d8e2bdf5d30c90d32ae795..dcd70a8f0765ba8fea160e6911fc6e39630ac5b4 100644
--- a/manifests/batches/oproofs/s00002-r00001228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001228-n000004",
   "batch_fingerprint": "f06d4f1e4fc835e33baa6e1cbf8e374ee785da8b4bbffeceef2e7d55706b8531",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001228-n000004-0000-4fd0062ceffb4bdc.parquet",
-      "sha256": "4fd0062ceffb4bdc47bdb5329af0b90b7346fc7e72178ba0767ce7a1131d2f15",
-      "bytes": 157734,
-      "rows": 12,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001228-n000004-0000-176268c500548c54.parquet",
-      "sha256": "176268c500548c5496ac167de3d6bd8ea30aba9733bbbbced7306da237faf58c",
-      "bytes": 40748,
-      "rows": 3,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001229.lean\",\"5bfd3affd77e55abc97402b3c81d6ccb543247b4733e734d83848b63ebadac57\",0,\"variance_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001230.lean\",\"00e0048d9c0818c2d107fd93e5dba7c3659d3392a579561d3b1482efb5bcf8f9\",0,\"lean_workbook_plus_44013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001231.lean\",\"8d8aba1c175205992c481566cc198044660139ea42d1341d1823d828cb31143b\",0,\"lean_workbook_plus_20807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157734,
+      "path": "data/train/pc2/oproofs-s00002-r00001228-n000004-0000-4fd0062ceffb4bdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4fd0062ceffb4bdc47bdb5329af0b90b7346fc7e72178ba0767ce7a1131d2f15"
+    },
+    {
+      "bytes": 40748,
+      "path": "data/internal_test/pc2/oproofs-s00002-r00001228-n000004-0000-176268c500548c54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "176268c500548c5496ac167de3d6bd8ea30aba9733bbbbced7306da237faf58c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001232-n000004.json b/manifests/batches/oproofs/s00002-r00001232-n000004.json
index cb375dc9b9deb454c4a5b4f60af6aad940f7f998..40739902fd606ba9cd1ddc72996598f50eb4bf7d 100644
--- a/manifests/batches/oproofs/s00002-r00001232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001232-n000004",
   "batch_fingerprint": "503d4143c44a3c22e01a1abbbaf460d76341211cf162541f52e628a21a97735f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001232-n000004-0000-d4959540d4a901fc.parquet",
-      "sha256": "d4959540d4a901fc35a614b28871201ebda927d1a8e1c3250fb1ba008e36b26e",
-      "bytes": 313082,
-      "rows": 23,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001233.lean\",\"e2d16afdf4a91a872b644d8dc04f55172c1b517e4aea88e53abd81080dfd090b\",0,\"lean_workbook_plus_60651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001234.lean\",\"d3cdb56121001108ee5d9e7573262cb6c2818757964389749757a23edf7c228a\",0,\"lean_workbook_43541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001235.lean\",\"8b89b6981ed61e9e39744e4851b297c63e353a197a6760f3ff3316ad5c946cd5\",0,\"lean_workbook_plus_30290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313082,
+      "path": "data/train/p28/oproofs-s00002-r00001232-n000004-0000-d4959540d4a901fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d4959540d4a901fc35a614b28871201ebda927d1a8e1c3250fb1ba008e36b26e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001236-n000004.json b/manifests/batches/oproofs/s00002-r00001236-n000004.json
index f82d5cdb2d8e216f571add41d1de03308b313164..3ad98e3596f300e6764604da5db5e7015e51a96d 100644
--- a/manifests/batches/oproofs/s00002-r00001236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001236-n000004",
   "batch_fingerprint": "b8619cdbeeeb1b1c8acc65e1bfb3558d7fb5c6091a899d5dafc9836732c4c936",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001236-n000004-0000-c54b039e8e28b83d.parquet",
-      "sha256": "c54b039e8e28b83defa1a1dcd85cfe0fa4baf2de7a2af2e0b622cfb52dc6b8e7",
-      "bytes": 216654,
-      "rows": 14,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001237.lean\",\"5190638da74aaa3b043f5cd49dfdd132160353fad7b0491654f7f93b26992630\",0,\"lean_workbook_plus_14609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001238.lean\",\"bc3d0d46b6bfbd3d6768b6c5307b8a21e3b03a1da0b58b2ed667ed2fb45f5d80\",0,\"lean_workbook_plus_43045\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001239.lean\",\"03c55d13d15d31e8de6052d7569493cbe829e22c97a9c07c67c962e9ed1ba496\",0,\"lean_workbook_plus_16095\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216654,
+      "path": "data/train/pff/oproofs-s00002-r00001236-n000004-0000-c54b039e8e28b83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c54b039e8e28b83defa1a1dcd85cfe0fa4baf2de7a2af2e0b622cfb52dc6b8e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001240-n000004.json b/manifests/batches/oproofs/s00002-r00001240-n000004.json
index 893bf090efa63d8d5bc16dd0e90323424c8b29fb..000e2b7553f1357cca02ddb1af7824d40cbe3795 100644
--- a/manifests/batches/oproofs/s00002-r00001240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001240-n000004",
   "batch_fingerprint": "22abd8e956759c272bc8514c0f50cab260ca28f3faeb8df601082c2272f13371",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001240-n000004-0000-0692a6e57e0b93a5.parquet",
-      "sha256": "0692a6e57e0b93a58cc9a94b145622ffbd2db1b9e210b3b852cdbf98aaed2f65",
-      "bytes": 292209,
-      "rows": 7,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001240-n000004-0000-f2631b0873069935.parquet",
-      "sha256": "f2631b0873069935d6e669c24fdbc89281604ddbc1f87345b3f689971de7b5b9",
-      "bytes": 57685,
-      "rows": 5,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001241.lean\",\"93597c048e98cf892a0b4ae1ef6f4b0dc7d5e283d1c8a18ada4198a957dd70de\",0,\"lean_workbook_plus_35435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001242.lean\",\"00e0186c7751186fe317251439823c10ff915978e8b0b28b41f5f0c4506fbcd1\",0,\"lean_workbook_36517\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001243.lean\",\"0c358edc8b2df03679e73072d0934c375983bb707ef5235c549dd66f8a509d8d\",0,\"lean_workbook_plus_32915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292209,
+      "path": "data/train/p40/oproofs-s00002-r00001240-n000004-0000-0692a6e57e0b93a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0692a6e57e0b93a58cc9a94b145622ffbd2db1b9e210b3b852cdbf98aaed2f65"
+    },
+    {
+      "bytes": 57685,
+      "path": "data/internal_test/p40/oproofs-s00002-r00001240-n000004-0000-f2631b0873069935.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f2631b0873069935d6e669c24fdbc89281604ddbc1f87345b3f689971de7b5b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001244-n000004.json b/manifests/batches/oproofs/s00002-r00001244-n000004.json
index f8ea0fc0e93a74e681fa080e63a5e6ce2b38d017..32107a82ae7fd563750c9a9ff546af0d6715171e 100644
--- a/manifests/batches/oproofs/s00002-r00001244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001244-n000004",
   "batch_fingerprint": "c36f69db1cf3fa3dcd9b57d6aa656caa1292b91e0b498cb43eda127263facd1c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001244-n000004-0000-44a5119c585a656e.parquet",
-      "sha256": "44a5119c585a656e8e50504ce77fa479f01545752a72b8a6cd61f1457c0713f3",
-      "bytes": 336224,
-      "rows": 19,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001245.lean\",\"f5f814efff290d7383e9779a7775ea10cdcf6e1dd3039550cbc42cf8023cc9ca\",0,\"binomial_derivative_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001246.lean\",\"f1035cfde13daec0763fa2c5c9bd32e6cfab4c0131b38d08812c3f166e7deb13\",0,\"lean_workbook_56980\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001247.lean\",\"16e809ea6645179d90a37943db779bcfb0aac8376635a948452efbbefa725fd3\",0,\"lean_workbook_plus_51923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336224,
+      "path": "data/train/pfd/oproofs-s00002-r00001244-n000004-0000-44a5119c585a656e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "44a5119c585a656e8e50504ce77fa479f01545752a72b8a6cd61f1457c0713f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001248-n000004.json b/manifests/batches/oproofs/s00002-r00001248-n000004.json
index af7cffdaa3738cca0b4496240b4efd28468ef34f..7b4f769c5bee33216834df138816eff6f0597ab0 100644
--- a/manifests/batches/oproofs/s00002-r00001248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001248-n000004",
   "batch_fingerprint": "14d791cfe73eb248cfb69bf781d01161e99dfece0b8c8208da85dbe0533da363",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001248-n000004-0000-254562a60cd63ccd.parquet",
-      "sha256": "254562a60cd63ccd762f6564c5e30f897ea66acc4560725a766597cf44f1add6",
-      "bytes": 284215,
-      "rows": 19,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001249.lean\",\"b593101ed076fd04a487cb62986c853a3be2db7fd55578e73793778f9f685a1b\",0,\"first_superb_sunday_2020\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001250.lean\",\"2a89da514c7767e88ce901140888e8eb0db923cb4088ed63ff174417db374beb\",0,\"lean_workbook_30366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001251.lean\",\"c5e0854b834a6f6c0d08f2ac316ded9a9264882301f74128cd950488673dfa1c\",0,\"triangle_sqrt_inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284215,
+      "path": "data/train/pc5/oproofs-s00002-r00001248-n000004-0000-254562a60cd63ccd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "254562a60cd63ccd762f6564c5e30f897ea66acc4560725a766597cf44f1add6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001252-n000004.json b/manifests/batches/oproofs/s00002-r00001252-n000004.json
index b30b63656a14b6818d73e5b73ce5daaf98331dff..46b519592ecd421d7e420c1a5c809d069227d46b 100644
--- a/manifests/batches/oproofs/s00002-r00001252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001252-n000004",
   "batch_fingerprint": "0c591f8b91b7b8adcad20ab7418a3bb4a66410bb4280b72a3fa7a41bb04b16d8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001252-n000004-0000-0c1f6ffc97c32bf0.parquet",
-      "sha256": "0c1f6ffc97c32bf022ca76c42a34cac300187e1c9453226441ab4fad7f5bd961",
-      "bytes": 831581,
-      "rows": 24,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001252-n000004-0000-181c61f85d14752a.parquet",
-      "sha256": "181c61f85d14752ad1b2d2ddec58df8e6bec898993cdd3ea5a8ae210404169ce",
-      "bytes": 43061,
-      "rows": 3,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001253.lean\",\"019a1d9156fddf87e3681d4460fd0923bf5b3274197f16d65ccfc164141b4cd6\",0,\"lean_workbook_27486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001254.lean\",\"68d1f9e81fc67b19011894afdb1e36d21a9a65e3c61141d96e987eeccf72eadf\",0,\"lean_workbook_plus_35794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001255.lean\",\"6f3e22b7be88c9ef727120895be731dcd41edf9fd0a33f7de07ce75b085d6f06\",0,\"lean_workbook_plus_22401\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 831581,
+      "path": "data/train/pbf/oproofs-s00002-r00001252-n000004-0000-0c1f6ffc97c32bf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0c1f6ffc97c32bf022ca76c42a34cac300187e1c9453226441ab4fad7f5bd961"
+    },
+    {
+      "bytes": 43061,
+      "path": "data/dev/pbf/oproofs-s00002-r00001252-n000004-0000-181c61f85d14752a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "181c61f85d14752ad1b2d2ddec58df8e6bec898993cdd3ea5a8ae210404169ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001256-n000004.json b/manifests/batches/oproofs/s00002-r00001256-n000004.json
index 6de3e553e6aa50a64959cf5a853a2d91f703776e..d36add19df409eb42f571c35f4cc67e3f576c8da 100644
--- a/manifests/batches/oproofs/s00002-r00001256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001256-n000004",
   "batch_fingerprint": "b5cc7efd2490b4b24428f48ad6a54fdee8ce688ae67a47b6abfac57a36bc4dca",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001256-n000004-0000-a08e2a00e87364e8.parquet",
-      "sha256": "a08e2a00e87364e8280c3d1cdf352bf610f546f66bb53eb1aabf68146314bd32",
-      "bytes": 584183,
-      "rows": 21,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001256-n000004-0001-6f7a86fe9b67c83f.parquet",
-      "sha256": "6f7a86fe9b67c83ff9ad04af056adb8bb7559fd4e1fbe10bec6550edece5c3a8",
-      "bytes": 256668,
-      "rows": 2,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001257.lean\",\"fedd78cda413ef2dfd6a2c125def48e7c46880a517e76a1e5d8280ea78e4ba88\",0,\"lean_workbook_plus_5673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001258.lean\",\"9b389930ed6c4b978166c41e390d98f265132cf9b9df3d74c1eaae605edbf64a\",0,\"sum_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001259.lean\",\"1ac0bfcea8a23e8474d9455c4f311a96c8ad9319a9510dcb0c39c8da2c15b25c\",0,\"n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 584183,
+      "path": "data/train/p18/oproofs-s00002-r00001256-n000004-0000-a08e2a00e87364e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a08e2a00e87364e8280c3d1cdf352bf610f546f66bb53eb1aabf68146314bd32"
+    },
+    {
+      "bytes": 256668,
+      "path": "data/train/p18/oproofs-s00002-r00001256-n000004-0001-6f7a86fe9b67c83f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6f7a86fe9b67c83ff9ad04af056adb8bb7559fd4e1fbe10bec6550edece5c3a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001260-n000004.json b/manifests/batches/oproofs/s00002-r00001260-n000004.json
index 7c3c5f324c6badc0676f167c796204d8310044b2..b1721f06f51d33e3c361f8dbfe5261e9ae171e96 100644
--- a/manifests/batches/oproofs/s00002-r00001260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001260-n000004",
   "batch_fingerprint": "e421f2f75ff4cc94c7a1a414cc46ebfe82ae8e45275564fe4f48ad474a6d6fee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001260-n000004-0000-766c02b84a6a83d4.parquet",
-      "sha256": "766c02b84a6a83d49a88873c388671ef6de4c85defb9240953b6d8ef902e2dd4",
-      "bytes": 371380,
-      "rows": 26,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001260-n000004-0000-53ac89f9be706344.parquet",
-      "sha256": "53ac89f9be70634407e6c3e0db2039f6150c1a14de60e6294532912a24cbada3",
-      "bytes": 44750,
-      "rows": 3,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001261.lean\",\"7c7ffe6369ace49a62eaddeff61f9e6d02cff5e4d52a40d151342850ab0d7544\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001262.lean\",\"6256f61cb80d7d382dc7e93038c99722be6bfa113c2171f7b02b7b887eefb8c7\",0,\"lean_workbook_plus_60536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001263.lean\",\"f44fb29268fb65453a4deb4845087f259c172009bae8c2e933fbe4fea6a115e7\",0,\"lean_workbook_plus_62867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371380,
+      "path": "data/train/pa3/oproofs-s00002-r00001260-n000004-0000-766c02b84a6a83d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "766c02b84a6a83d49a88873c388671ef6de4c85defb9240953b6d8ef902e2dd4"
+    },
+    {
+      "bytes": 44750,
+      "path": "data/internal_test/pa3/oproofs-s00002-r00001260-n000004-0000-53ac89f9be706344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "53ac89f9be70634407e6c3e0db2039f6150c1a14de60e6294532912a24cbada3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001264-n000004.json b/manifests/batches/oproofs/s00002-r00001264-n000004.json
index f026c996a6c9354f4169c3ce5d30bdb35305a85b..3be4098b753d4c8deb44bce7c84880a3fe4df07f 100644
--- a/manifests/batches/oproofs/s00002-r00001264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001264-n000004",
   "batch_fingerprint": "903caceb883f0644a9144e46abc5a0831766e70d077268bdc720e434615cf33d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1264",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1265",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1266",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1267"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001264.lean\",\"96668cf4c1ecfe34947e680c614f1a76e4c2994b792b054e36b4b9470f1e041a\",0,\"gcd_t\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001265.lean\",\"babf5696d9985905447b44c1aeac22b08117e5ad4f5d9324d4115cce55244757\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001266.lean\",\"986fb2774783023421af2bb64b16c402c1be6a3dbcbd185fc7a028e5acc7985d\",0,\"norm_and_c\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001267.lean\",\"cc2eca0f075fa8de62dc92590e14f1997f80ced4b9248620f47d909d59aad481\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001264-n000004-0000-489bbcf0a448b82b.parquet",
-      "sha256": "489bbcf0a448b82ba96892743d4db6660167cd28cad55a8f21cabdb8268fd9fa",
       "bytes": 380265,
+      "path": "data/train/pc4/oproofs-s00002-r00001264-n000004-0000-489bbcf0a448b82b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "489bbcf0a448b82ba96892743d4db6660167cd28cad55a8f21cabdb8268fd9fa"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001264-n000004-0001-50242b4e04536c97.parquet",
-      "sha256": "50242b4e04536c972149d55b64ac62d1256373be9d6363d15fcd25b6c1c84ca3",
       "bytes": 2375726,
+      "path": "data/train/pc4/oproofs-s00002-r00001264-n000004-0001-50242b4e04536c97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "50242b4e04536c972149d55b64ac62d1256373be9d6363d15fcd25b6c1c84ca3"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001264-n000004-0002-1b895143b1eb3518.parquet",
-      "sha256": "1b895143b1eb3518e684e1a3b503b314c463a1393631b8af14e737fc084a5143",
       "bytes": 104639,
+      "path": "data/train/pc4/oproofs-s00002-r00001264-n000004-0002-1b895143b1eb3518.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "c1a8cc6b32baccfe23f8a14da1684e4a89dbd085"
+      "sha256": "1b895143b1eb3518e684e1a3b503b314c463a1393631b8af14e737fc084a5143"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1264",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1265",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1266",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1267"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001264.lean\",\"96668cf4c1ecfe34947e680c614f1a76e4c2994b792b054e36b4b9470f1e041a\",0,\"gcd_t\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001265.lean\",\"babf5696d9985905447b44c1aeac22b08117e5ad4f5d9324d4115cce55244757\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001266.lean\",\"986fb2774783023421af2bb64b16c402c1be6a3dbcbd185fc7a028e5acc7985d\",0,\"norm_and_c\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001267.lean\",\"cc2eca0f075fa8de62dc92590e14f1997f80ced4b9248620f47d909d59aad481\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001268-n000004.json b/manifests/batches/oproofs/s00002-r00001268-n000004.json
index d056f8c1fe2755a0c8806d2adf52135853e46d34..06f60e7bb22486db9597fac03058b7fa5e27d461 100644
--- a/manifests/batches/oproofs/s00002-r00001268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001268-n000004",
   "batch_fingerprint": "a5fb20ecd1b425b8d7fadc24ac141adc522f2804c5397b9cb70eae922667ff2d",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1268",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1269",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1270",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1271"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001268.lean\",\"a2f7da8955a75b5642ebed2e258f012299b13934b09e908f57ef4293d0345877\",0,\"RealPower\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001269.lean\",\"7cb917c8980e3941cd57af4e360602f053153d8f1c5441aa34078739511175e4\",0,\"prove_sequence\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001270.lean\",\"d4ff36c99627502b22cb6918aa96342023856ca3d7bab5ab22d04d05091b4263\",0,\"solution\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001271.lean\",\"86b5d70a57032d667a02f400f15c592f32942409001dd0b8a38de7708a741872\",0,\"algebra_383447\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001268-n000004-0000-adf9b49812e5ab37.parquet",
-      "sha256": "adf9b49812e5ab379e664ab9c32e362d1b1cbfd51df5b3b5e3a3055b28de5e43",
       "bytes": 488977,
+      "path": "data/train/p0a/oproofs-s00002-r00001268-n000004-0000-adf9b49812e5ab37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "513b9a2e901d0478d1db7cb8c927e479e4e0ed8f"
+      "sha256": "adf9b49812e5ab379e664ab9c32e362d1b1cbfd51df5b3b5e3a3055b28de5e43"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001268-n000004-0000-29f9c4430cf07ecf.parquet",
-      "sha256": "29f9c4430cf07ecfaea6a8f78545aceb0e33edf9e5cf162286d72b8f25a931f1",
       "bytes": 198826,
+      "path": "data/dev/p0a/oproofs-s00002-r00001268-n000004-0000-29f9c4430cf07ecf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "513b9a2e901d0478d1db7cb8c927e479e4e0ed8f"
+      "sha256": "29f9c4430cf07ecfaea6a8f78545aceb0e33edf9e5cf162286d72b8f25a931f1"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001268-n000004-0000-6520bb584bc2cac0.parquet",
-      "sha256": "6520bb584bc2cac0f3137fb35eff9b7c95a4308e347e0c591cd7a1185369f68b",
       "bytes": 836887,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00001268-n000004-0000-6520bb584bc2cac0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "513b9a2e901d0478d1db7cb8c927e479e4e0ed8f"
+      "sha256": "6520bb584bc2cac0f3137fb35eff9b7c95a4308e347e0c591cd7a1185369f68b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001268-n000004-0001-a727b221d999c07e.parquet",
-      "sha256": "a727b221d999c07ef7654d8e3b404a5aaa8b3702012631520e6e672d67861092",
       "bytes": 130825,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00001268-n000004-0001-a727b221d999c07e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "513b9a2e901d0478d1db7cb8c927e479e4e0ed8f"
+      "sha256": "a727b221d999c07ef7654d8e3b404a5aaa8b3702012631520e6e672d67861092"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1268",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1269",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1270",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1271"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001268.lean\",\"a2f7da8955a75b5642ebed2e258f012299b13934b09e908f57ef4293d0345877\",0,\"RealPower\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001269.lean\",\"7cb917c8980e3941cd57af4e360602f053153d8f1c5441aa34078739511175e4\",0,\"prove_sequence\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001270.lean\",\"d4ff36c99627502b22cb6918aa96342023856ca3d7bab5ab22d04d05091b4263\",0,\"solution\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001271.lean\",\"86b5d70a57032d667a02f400f15c592f32942409001dd0b8a38de7708a741872\",0,\"algebra_383447\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001272-n000004.json b/manifests/batches/oproofs/s00002-r00001272-n000004.json
index 0272bf59811833ee051a47bf0fac54c187374361..d2b3944e1d149bb5102d30a0572e8a791c7e498e 100644
--- a/manifests/batches/oproofs/s00002-r00001272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001272-n000004",
   "batch_fingerprint": "8d8ed771d05a4a2a865875d39a8f0c4584666403585ba5bd82c4ed09d1c176b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001272-n000004-0000-34d9d2180999379e.parquet",
-      "sha256": "34d9d2180999379ef276fa6bf4a23a02c15d5ffef4e0fab518bb952adde66271",
-      "bytes": 115966,
-      "rows": 17,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001273.lean\",\"9623cf3460c938c3760b8dba133d7f798253faccb0f25ada2126819b113aeb70\",0,\"lean_workbook_23834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001274.lean\",\"57b3d5f5a8d3442c78fba2235656d15765569d4fd13228ce67e970fb487458de\",0,\"lean_workbook_plus_37314\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001275.lean\",\"179582243285bd5bc80823bb8fd1ad96b8028f04d20d1ccd518977eeb64e60f1\",0,\"lean_workbook_plus_38029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115966,
+      "path": "data/train/pe7/oproofs-s00002-r00001272-n000004-0000-34d9d2180999379e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "34d9d2180999379ef276fa6bf4a23a02c15d5ffef4e0fab518bb952adde66271"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001276-n000004.json b/manifests/batches/oproofs/s00002-r00001276-n000004.json
index 1db0346d78d12a6f9f608ed9e6fed5812bd0d9bf..18f6ea57ce93b10e53e1138e3bbea4af4339f6ba 100644
--- a/manifests/batches/oproofs/s00002-r00001276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001276-n000004",
   "batch_fingerprint": "3c3b3a2d860ded11060911953baeb019c03a57be738cb557a1f8f31cce6861b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001276-n000004-0000-ba76fdf1b98a3396.parquet",
-      "sha256": "ba76fdf1b98a3396f4f9b7d1b49f07288ab7a989515a1b366198a63e60c68cfc",
-      "bytes": 140851,
-      "rows": 11,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001276-n000004-0000-92d3e45bf075eee1.parquet",
-      "sha256": "92d3e45bf075eee19cb1e13c0382314c41e7b39c57dc1f2b1649da236cd81e73",
-      "bytes": 67667,
-      "rows": 5,
-      "revision": "a18988649fa3f423e2fed2cedff769da27e61a02"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001277.lean\",\"d1d676056ca331056de885e8d2b35dbe138d7156df9283a78b6e2cfe0bdc11c6\",0,\"lean_workbook_plus_24991\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001278.lean\",\"227f79633fd319e44901a323ad1c66fbfb472f788abe8452c302497d2fe8e6ca\",0,\"lean_workbook_plus_16670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001279.lean\",\"1b708183ce3513bb9f37698288543d9582a7f011c09010f480fd270f00dcb002\",0,\"lean_workbook_plus_12205\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140851,
+      "path": "data/train/p9a/oproofs-s00002-r00001276-n000004-0000-ba76fdf1b98a3396.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ba76fdf1b98a3396f4f9b7d1b49f07288ab7a989515a1b366198a63e60c68cfc"
+    },
+    {
+      "bytes": 67667,
+      "path": "data/internal_test/p9a/oproofs-s00002-r00001276-n000004-0000-92d3e45bf075eee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "92d3e45bf075eee19cb1e13c0382314c41e7b39c57dc1f2b1649da236cd81e73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001280-n000004.json b/manifests/batches/oproofs/s00002-r00001280-n000004.json
index e35a23d5fbec2376fae9bec5559cf9bc45236e4f..625cc46994dde953861161ce7e37d7544bef4d1c 100644
--- a/manifests/batches/oproofs/s00002-r00001280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001280-n000004",
   "batch_fingerprint": "ebc20596f4bc6869b6000e7aeca34c6fccdcaeea228457837782f2cf132d1a47",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001280-n000004-0000-3ee7a39daadef1ac.parquet",
-      "sha256": "3ee7a39daadef1ac0cf411469f4519c9c571143e824f1f4736a02887e9cbdb61",
-      "bytes": 110933,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001281.lean\",\"1a36e44ad41f7610f7a4ee7089f0a642a6b66d6c2d0e2a97ca8fd055c6791a06\",0,\"lean_workbook_39330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001282.lean\",\"264d4dad65b80d8f83d444abd9dce35f37c546411504a0558a25b86306e1cc15\",0,\"variance_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001283.lean\",\"243f0150d8cc37e56696731f3f5b9be9a12fd513123588cfc444d606c34432bf\",0,\"lean_workbook_plus_44013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110933,
+      "path": "data/train/pae/oproofs-s00002-r00001280-n000004-0000-3ee7a39daadef1ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3ee7a39daadef1ac0cf411469f4519c9c571143e824f1f4736a02887e9cbdb61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001284-n000004.json b/manifests/batches/oproofs/s00002-r00001284-n000004.json
index d939f3a38bdb73a49169566b84623a1d74eb9148..42e914e2364fa268b1502de0c8e907c2c52d7bf9 100644
--- a/manifests/batches/oproofs/s00002-r00001284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001284-n000004",
   "batch_fingerprint": "fc4cdb08629679d09559c45dcdb65ac7abc53f2c7084906f82814b9f1b0be0be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001284-n000004-0000-9d0f71100fa9a519.parquet",
-      "sha256": "9d0f71100fa9a519b9cb30b99a7727b10c9aa6fde6152d154114f44c8a94f996",
-      "bytes": 229787,
-      "rows": 19,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001285.lean\",\"a003fcc3aac60db9689ea7c8693edf90fc1f8c7e5dc56fe3f69b022777cfa3f6\",0,\"lean_workbook_plus_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001286.lean\",\"55e0fc3f43c2b1eb81cf6e276398b7cfddfcc9cfa03620183b45b8b72e23dcc9\",0,\"lean_workbook_plus_36897\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001287.lean\",\"77a71a5d6e82c950ab12131643922603ce515374df3bac0e9a58b6bd8a1f7308\",0,\"lean_workbook_43541\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229787,
+      "path": "data/train/p2f/oproofs-s00002-r00001284-n000004-0000-9d0f71100fa9a519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9d0f71100fa9a519b9cb30b99a7727b10c9aa6fde6152d154114f44c8a94f996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001288-n000004.json b/manifests/batches/oproofs/s00002-r00001288-n000004.json
index c54595f185036227e5712aa08aea5033ca78a007..393b282ac433488b0f557386098106e1f65d6795 100644
--- a/manifests/batches/oproofs/s00002-r00001288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001288-n000004",
   "batch_fingerprint": "fb1d9b8e39d38734da9d4ed8b709f7d5688329aef5c2fb98b66a1fbffa0d3147",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1288",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1289",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1290",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1291"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001288.lean\",\"f83723a1274cafecfb98273d5fef23e0adab42dae1a06035e3c3330f90602f2c\",0,\"lean_workbook_plus_30545\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001289.lean\",\"ed6bd6964f6951dc38d73e0a66c27408bee4af0e1f133563111a646da94e10c9\",0,\"lean_workbook_plus_53182\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001290.lean\",\"55c1a3dc7132e926f5a6e166aec575c9567e7686859f583e8b966ed85f1586c7\",0,\"lean_workbook_plus_59018\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001291.lean\",\"222e60535afbe4dbcaba876818062ab3f9b2fcfa6051fde197ff500f42258706\",0,\"trapezoid_area_problem\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001288-n000004-0000-eb9c1b50a783f494.parquet",
-      "sha256": "eb9c1b50a783f4943e376eb5edd1a93d5725da7a4dfaa59472f376158e884b01",
       "bytes": 117065,
+      "path": "data/train/p01/oproofs-s00002-r00001288-n000004-0000-eb9c1b50a783f494.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "eb9c1b50a783f4943e376eb5edd1a93d5725da7a4dfaa59472f376158e884b01"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001288-n000004-0000-1122c7fea787d46e.parquet",
-      "sha256": "1122c7fea787d46e5244280279b347d798bdff2de31093f877d3e3496572e70e",
       "bytes": 156162,
+      "path": "data/dev/p01/oproofs-s00002-r00001288-n000004-0000-1122c7fea787d46e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "1122c7fea787d46e5244280279b347d798bdff2de31093f877d3e3496572e70e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001288-n000004-0000-2f079caec5fe8bd2.parquet",
-      "sha256": "2f079caec5fe8bd2cd482fe93101f7ee5f848a64e7e7fe9c69787e896110ff06",
       "bytes": 60011,
+      "path": "data/internal_test/p01/oproofs-s00002-r00001288-n000004-0000-2f079caec5fe8bd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "2f079caec5fe8bd2cd482fe93101f7ee5f848a64e7e7fe9c69787e896110ff06"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1288",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1289",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1290",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1291"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001288.lean\",\"f83723a1274cafecfb98273d5fef23e0adab42dae1a06035e3c3330f90602f2c\",0,\"lean_workbook_plus_30545\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001289.lean\",\"ed6bd6964f6951dc38d73e0a66c27408bee4af0e1f133563111a646da94e10c9\",0,\"lean_workbook_plus_53182\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001290.lean\",\"55c1a3dc7132e926f5a6e166aec575c9567e7686859f583e8b966ed85f1586c7\",0,\"lean_workbook_plus_59018\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001291.lean\",\"222e60535afbe4dbcaba876818062ab3f9b2fcfa6051fde197ff500f42258706\",0,\"trapezoid_area_problem\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001292-n000004.json b/manifests/batches/oproofs/s00002-r00001292-n000004.json
index ec8bcbcd789cae31c7e3df12ba8938554d525104..2643e29b258746df811b0717a3834298adaf57cd 100644
--- a/manifests/batches/oproofs/s00002-r00001292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001292-n000004",
   "batch_fingerprint": "7fa0e493f18dbd68dd068219981520398d942946f3ca53c1738dbaf06d9d27fc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001292-n000004-0000-24dcb63cfb6bb4bf.parquet",
-      "sha256": "24dcb63cfb6bb4bf704c8e7f2e83c7d07cb32662349dd449d84eaf6a7d80b5e7",
-      "bytes": 275450,
-      "rows": 14,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001293.lean\",\"da5900bc7b659de8bd088d48b43080eafa4c68dc8e544f70752b97f94c3e68cf\",0,\"lean_workbook_plus_14609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001294.lean\",\"d81fa549abd7e785bcffac86fb145936b2a27891ee6f8277f993133a2dc57fe7\",0,\"lean_workbook_plus_60651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001295.lean\",\"9d34f18bb264adca8cef11cb81ab0e9b4dfe61007ccf57959a7383d1e70fa419\",0,\"lean_workbook_plus_43045\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275450,
+      "path": "data/train/p04/oproofs-s00002-r00001292-n000004-0000-24dcb63cfb6bb4bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "24dcb63cfb6bb4bf704c8e7f2e83c7d07cb32662349dd449d84eaf6a7d80b5e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001296-n000004.json b/manifests/batches/oproofs/s00002-r00001296-n000004.json
index 0de053f90d46905746a529d23a684ba63b9d348e..563f51683f4ee4c2409952e4393e37bba47c7ecf 100644
--- a/manifests/batches/oproofs/s00002-r00001296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001296-n000004",
   "batch_fingerprint": "a4043801722ebf2735d1c8f9ffa2a3589d161464ae68cb8c87cfe0bd4c7f3047",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001296-n000004-0000-f134035758fcbe6f.parquet",
-      "sha256": "f134035758fcbe6f052f83913dbd3b53bff640e540f57315630477aa2f2e3302",
-      "bytes": 209874,
-      "rows": 7,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001296-n000004-0000-e9fffe299a96370f.parquet",
-      "sha256": "e9fffe299a96370faf6320da738575ef6213e2c0a374905b5a1658786ae0274b",
-      "bytes": 57328,
-      "rows": 5,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1297",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001297.lean\",\"8b8937d2f8388c1f20a1af977c05b5127bb794370cb71375c23981a67bde1b58\",0,\"lean_workbook_plus_60992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001298.lean\",\"cbb9a7a4846590e51066963d92de9b514c92e3c9d424abf7debcd85c3f9a5c6f\",0,\"lean_workbook_plus_32915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001299.lean\",\"271e80a503baca7cd55b42778e3f97e79f54ff2b4b47ad225f73f6a11b13810f\",0,\"lean_workbook_54740\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209874,
+      "path": "data/train/pf4/oproofs-s00002-r00001296-n000004-0000-f134035758fcbe6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f134035758fcbe6f052f83913dbd3b53bff640e540f57315630477aa2f2e3302"
+    },
+    {
+      "bytes": 57328,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00001296-n000004-0000-e9fffe299a96370f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e9fffe299a96370faf6320da738575ef6213e2c0a374905b5a1658786ae0274b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001300-n000004.json b/manifests/batches/oproofs/s00002-r00001300-n000004.json
index 2de899b54854f373b26e901ac565d2f590812f8c..d3c8c0f0a704edac011816014188899a06a82419 100644
--- a/manifests/batches/oproofs/s00002-r00001300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001300-n000004",
   "batch_fingerprint": "dbd557af0c50eb2401114087a6afbf7330ce5cbdfb7bb28134640d1ddc3c9c26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001300-n000004-0000-a745ab6e52048219.parquet",
-      "sha256": "a745ab6e52048219f815074b3a7194756ea1d08d90ddf3700f03487f7e7b836e",
-      "bytes": 624648,
-      "rows": 23,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001301.lean\",\"33c6250742dfd5aa987b1d64d36e8bd2e73a5f04c960de60ba048ca57eb05131\",0,\"lean_workbook_plus_70217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001302.lean\",\"4f6b50735ee7c4df4ced05208e875c81f0e30211d910029e9a1b28d7176b8ee1\",0,\"lean_workbook_plus_12918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001303.lean\",\"ee74286e8fbf8458312a4cc479b58717a8f838b267c9b4d9fced58e1e614edc6\",0,\"lean_workbook_56980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 624648,
+      "path": "data/train/p11/oproofs-s00002-r00001300-n000004-0000-a745ab6e52048219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "a745ab6e52048219f815074b3a7194756ea1d08d90ddf3700f03487f7e7b836e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001304-n000004.json b/manifests/batches/oproofs/s00002-r00001304-n000004.json
index 1b0d2ad6fa7079c4753c0667c12d5b3eb7ea1376..5ec0ae0f6e37e1a9e270a011652ed79ea89005aa 100644
--- a/manifests/batches/oproofs/s00002-r00001304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001304-n000004",
   "batch_fingerprint": "0eafd3a5ac800d7c471b87afa54065e356411b975b4e23cfdd47b4f4ae70a804",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001304-n000004-0000-59fc9dc27097ba45.parquet",
-      "sha256": "59fc9dc27097ba452a242a9adea5aedcfa17defa87fcb8bf17c05302fd547086",
-      "bytes": 286998,
-      "rows": 26,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001305.lean\",\"814cff0b68399dc3e2d2405d7709dbf1346d43e0aec3dd729ce90bdf1d243c41\",0,\"lean_workbook_40482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001306.lean\",\"84b8f8cbc1a04353a26aa4f1b150ea67766a068af3cebf11b966aa23a5a18974\",0,\"lean_workbook_plus_3838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001307.lean\",\"a6a80cf609d2c414f72bf1593adf3664bf58a804a53caf63a733b91054185349\",0,\"lean_workbook_30366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286998,
+      "path": "data/train/p71/oproofs-s00002-r00001304-n000004-0000-59fc9dc27097ba45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "59fc9dc27097ba452a242a9adea5aedcfa17defa87fcb8bf17c05302fd547086"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001308-n000004.json b/manifests/batches/oproofs/s00002-r00001308-n000004.json
index a9619af5d3911385b90dab9591cae0aa3834e36c..368ddba63f0db8cf75bf7ddbb34e8720d88579fb 100644
--- a/manifests/batches/oproofs/s00002-r00001308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001308-n000004",
   "batch_fingerprint": "6a0f089ec7831332cfda551568e402d5128739f85ec4361ccc5397a80482c85f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001308-n000004-0000-a2fa7bef7c0c3396.parquet",
-      "sha256": "a2fa7bef7c0c3396029bbe32823dcf5da2260cd6630760160cd3aa3047dcc649",
-      "bytes": 613292,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001308-n000004-0000-33ab426d705e9e93.parquet",
-      "sha256": "33ab426d705e9e93435a6d968bfe52c403ac948974f8f25fb7f6a0f9b266b6ff",
-      "bytes": 64360,
-      "rows": 5,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001309.lean\",\"af1f0cb8633a16c0454b10a9a1824a9ae661a6eabdf5684d13212a8b1195db72\",0,\"lean_workbook_plus_59030\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001310.lean\",\"21af2b3b64038d88b099280c1decc1a6620bfd12d558fe3e8e77b2f01f2a996b\",0,\"quadratic_subset_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001311.lean\",\"db5f5c1aacf0517ff0dd9c8f7153a60bf2cb1123c311adb075cfc731a17a0e40\",0,\"ping_pong_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 613292,
+      "path": "data/train/pec/oproofs-s00002-r00001308-n000004-0000-a2fa7bef7c0c3396.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a2fa7bef7c0c3396029bbe32823dcf5da2260cd6630760160cd3aa3047dcc649"
+    },
+    {
+      "bytes": 64360,
+      "path": "data/dev/pec/oproofs-s00002-r00001308-n000004-0000-33ab426d705e9e93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "33ab426d705e9e93435a6d968bfe52c403ac948974f8f25fb7f6a0f9b266b6ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001312-n000004.json b/manifests/batches/oproofs/s00002-r00001312-n000004.json
index 08acdb48c2e016ef169dd755374ad20f597ef8d3..77bc90394ee335ccdbc5652e1f7030ebd3b2447f 100644
--- a/manifests/batches/oproofs/s00002-r00001312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001312-n000004",
   "batch_fingerprint": "cce5461066d3f75f4e2e5a01e8f4959c7ed126858533850c917fe9e444cd4f62",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001312-n000004-0000-a91733399488fc70.parquet",
-      "sha256": "a91733399488fc70b86b68fe96fb8a52967b2e7ba10e11f2d7bd6dd751fa372b",
-      "bytes": 435988,
-      "rows": 15,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001313.lean\",\"8a1e56ea318d467596a12cded0c259af25a6a8220a0564f23a977e664d534dc9\",0,\"lean_workbook_54671\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001314.lean\",\"bb3e91c75c982c8337f591996537b30475419dcfdef44afd5ac7364ba8495182\",0,\"lean_workbook_15911\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001315.lean\",\"85e25166dff8a3dc16a1d3e91e2fc0100f95deff9b378e324d008bb8939d20ad\",0,\"lean_workbook_plus_51923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435988,
+      "path": "data/train/p75/oproofs-s00002-r00001312-n000004-0000-a91733399488fc70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a91733399488fc70b86b68fe96fb8a52967b2e7ba10e11f2d7bd6dd751fa372b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001316-n000004.json b/manifests/batches/oproofs/s00002-r00001316-n000004.json
index ee4707a823c0ac45c1d10d683e81049acbc158c4..d6f3a01218b53f9c634624f0bf27b7a6c04ae151 100644
--- a/manifests/batches/oproofs/s00002-r00001316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001316-n000004",
   "batch_fingerprint": "d4af1c0af5b47956bbcf7bff7b545aefe1e5c5f912df0d7bfb8ebafc221920bc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001316-n000004-0000-f9c7ae37d7361994.parquet",
-      "sha256": "f9c7ae37d73619948afa8edb6a00edd4b06b5a5d2d253464e6dd46e202047409",
-      "bytes": 519715,
-      "rows": 21,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001316-n000004-0001-20f27f9652740b8e.parquet",
-      "sha256": "20f27f9652740b8ef4d8469a1ba244cd175ddeabd7d66d82eb9729554fd44fa8",
-      "bytes": 1246785,
-      "rows": 3,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001317.lean\",\"5f44389d82cf31ee46321382d24154135ae106de058964ce27b88e75f19b0171\",0,\"lean_workbook_plus_67235\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001318.lean\",\"53eb0e016d283e11b0a422183c8cd58f3f6303ccc502cef4e5856f8e9f3141b6\",0,\"sum_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001319.lean\",\"c823498da5c22dc27771f14677bef0d6aab6f0ae6a0bf5801be5e59d6b088a52\",0,\"lean_workbook_2418\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519715,
+      "path": "data/train/p73/oproofs-s00002-r00001316-n000004-0000-f9c7ae37d7361994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f9c7ae37d73619948afa8edb6a00edd4b06b5a5d2d253464e6dd46e202047409"
+    },
+    {
+      "bytes": 1246785,
+      "path": "data/train/p73/oproofs-s00002-r00001316-n000004-0001-20f27f9652740b8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "20f27f9652740b8ef4d8469a1ba244cd175ddeabd7d66d82eb9729554fd44fa8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001320-n000004.json b/manifests/batches/oproofs/s00002-r00001320-n000004.json
index 6bf4bfee15d99409411211e9b893d191b0e27e5e..4b11cf8751e0681c6da61c1e46501ba94994d391 100644
--- a/manifests/batches/oproofs/s00002-r00001320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001320-n000004",
   "batch_fingerprint": "4638a649937b8c0a17eaa03e61ca63064127fa8c44f892ed6e4db190c339d4bd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001320-n000004-0000-7a0a78e72e5ecc64.parquet",
-      "sha256": "7a0a78e72e5ecc644126688b398a0a2715cd4945c96faf78288e9fa5cc38844f",
-      "bytes": 483631,
-      "rows": 18,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001321.lean\",\"fcaef9a1243492b838999cce086cbef6b49885a4bffc22d16b0ba498b6fd444b\",0,\"n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001322.lean\",\"0d32bfb6084e99e11e21a5563f301ebb7ca8778cce41abe7a866b6bc4222cb35\",0,\"quadruple\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001323.lean\",\"39ea474cb0dca4708ebfeb37d2136d613dec951b4a8f37b0f89f42063745db07\",0,\"lean_workbook_plus_67347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 483631,
+      "path": "data/train/pa6/oproofs-s00002-r00001320-n000004-0000-7a0a78e72e5ecc64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7a0a78e72e5ecc644126688b398a0a2715cd4945c96faf78288e9fa5cc38844f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001324-n000004.json b/manifests/batches/oproofs/s00002-r00001324-n000004.json
index 42953c96605b6ce8f2c0db1be6fdcbc1556c556f..c01d4767c1017e3d30d70829792fa54538f0aa72 100644
--- a/manifests/batches/oproofs/s00002-r00001324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001324-n000004",
   "batch_fingerprint": "b736094ea209b68ed8f1a02b4f7b3c548e3dfb964df271c23c99f43059090a2b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001324-n000004-0000-c77c89212e71010c.parquet",
-      "sha256": "c77c89212e71010c20cc7df384a4711799871cccf1a58a76002d3c35201a270f",
-      "bytes": 237800,
-      "rows": 11,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001324-n000004-0000-e2d803a9de78cf37.parquet",
-      "sha256": "e2d803a9de78cf37429ec090ee973f75e5cf0ed52af3d1ef5a7dbbc303e3a55b",
-      "bytes": 318861,
-      "rows": 14,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1325",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001325.lean\",\"bdb2c1a1999e8746d5cdc2714453a17fde11baf7be15d6bfe26751cd6bce2b62\",0,\"lean_workbook_plus_60536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001326.lean\",\"334be7025e7496ea89f0ab1f5b35c31da4e93b71244d4dcf719fe51072fd2210\",0,\"lean_workbook_plus_62867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001327.lean\",\"8a4151dba9037789f41a15cbd384296a86709ae300a5077e11264f4bdfd4ecd9\",0,\"gcd_t\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237800,
+      "path": "data/train/p36/oproofs-s00002-r00001324-n000004-0000-c77c89212e71010c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c77c89212e71010c20cc7df384a4711799871cccf1a58a76002d3c35201a270f"
+    },
+    {
+      "bytes": 318861,
+      "path": "data/internal_test/p36/oproofs-s00002-r00001324-n000004-0000-e2d803a9de78cf37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e2d803a9de78cf37429ec090ee973f75e5cf0ed52af3d1ef5a7dbbc303e3a55b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001328-n000004.json b/manifests/batches/oproofs/s00002-r00001328-n000004.json
index 5bae63e46b186447e9e1af3abed8bd4fedc3bc87..457154e0fd9fc86c0fec37c4708eda30ecfccd5f 100644
--- a/manifests/batches/oproofs/s00002-r00001328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001328-n000004",
   "batch_fingerprint": "d78ae326a42768a401f3ecb04b2b0caf0c25e3b02312d8c16fd29aa201df3aa6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001328-n000004-0000-75261ef2d17733bc.parquet",
-      "sha256": "75261ef2d17733bcf1b810cb4bbcedfb79a0465638ac38879f81690da17fc64a",
-      "bytes": 480818,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001329.lean\",\"0a0812396fd58f520127b40555786330f22a2e323e6fb8de53939eda912443e3\",0,\"norm_and_c\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001330.lean\",\"a88d8646eee956dea63a315068365e76039af602212f83ea2be6a38df164659b\",0,\"Real.sqrt_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001331.lean\",\"303bef81a4d4ee3ea6ee2f52daa9d8b84f709b648e67e39431c6d54999a9d4b4\",0,\"Real.sqrt_between\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 480818,
+      "path": "data/train/p77/oproofs-s00002-r00001328-n000004-0000-75261ef2d17733bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "75261ef2d17733bcf1b810cb4bbcedfb79a0465638ac38879f81690da17fc64a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001332-n000004.json b/manifests/batches/oproofs/s00002-r00001332-n000004.json
index 1f1cc3a4687371e6655867bec8251fbf883bc958..fb039e52d732804d9b617725766433295feb71fc 100644
--- a/manifests/batches/oproofs/s00002-r00001332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001332-n000004",
   "batch_fingerprint": "71ff022c217921f1dccf9e060f2a03821c0b1c370af31a7757e42de0d15ca5d5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1332",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1333",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1334",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1335"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001332.lean\",\"d89b5ad34297295b90d574ca39ea150f7bfcfb95b1584c10371d11d5c9f4398d\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001333.lean\",\"40dab631674345b3e2c8aca49694bceae068b343ef270519ee23f3219a2c5123\",0,\"normal_hgroup\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001334.lean\",\"134b5f774f25bd8666fa1c360379d349e481e404e7ae7b023d6d93799dc058a8\",0,\"number_theory_91607\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001335.lean\",\"3568c2e887d011c64f45ea9272ea38a8171c3619433e3bb9dad9d0aa0788634f\",0,\"first\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001332-n000004-0000-b5febaad9101486f.parquet",
-      "sha256": "b5febaad9101486f554f96f96505761387358ca11bf4742197c6433422013c4e",
       "bytes": 1159024,
+      "path": "data/train/p63/oproofs-s00002-r00001332-n000004-0000-b5febaad9101486f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "b5febaad9101486f554f96f96505761387358ca11bf4742197c6433422013c4e"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001332-n000004-0001-79c1d2624f1dd094.parquet",
-      "sha256": "79c1d2624f1dd094f2a0166135d469ec4f54493ec3c54bb8161066eb0c05a22a",
       "bytes": 182458,
+      "path": "data/train/p63/oproofs-s00002-r00001332-n000004-0001-79c1d2624f1dd094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "79c1d2624f1dd094f2a0166135d469ec4f54493ec3c54bb8161066eb0c05a22a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001332-n000004-0000-6f9c51ad0e17a423.parquet",
-      "sha256": "6f9c51ad0e17a4236a4314508a85b1eb9086cc73036473336c38d73472c80d56",
       "bytes": 55881,
+      "path": "data/dev/p63/oproofs-s00002-r00001332-n000004-0000-6f9c51ad0e17a423.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "6f9c51ad0e17a4236a4314508a85b1eb9086cc73036473336c38d73472c80d56"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1332",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1333",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1334",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1335"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001332.lean\",\"d89b5ad34297295b90d574ca39ea150f7bfcfb95b1584c10371d11d5c9f4398d\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001333.lean\",\"40dab631674345b3e2c8aca49694bceae068b343ef270519ee23f3219a2c5123\",0,\"normal_hgroup\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001334.lean\",\"134b5f774f25bd8666fa1c360379d349e481e404e7ae7b023d6d93799dc058a8\",0,\"number_theory_91607\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001335.lean\",\"3568c2e887d011c64f45ea9272ea38a8171c3619433e3bb9dad9d0aa0788634f\",0,\"first\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001336-n000004.json b/manifests/batches/oproofs/s00002-r00001336-n000004.json
index 44c711e6017bb18f6b1821e07b30ae858a0b0c7f..99ff54ec28b217595b9afbb8887f038d675e53a9 100644
--- a/manifests/batches/oproofs/s00002-r00001336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001336-n000004",
   "batch_fingerprint": "5cd24656452c52d7b3d2e7f398af1651e2c4c52b84ff2ea801ee8f8f843d8c3f",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000001/oproofs-s00002-r00001336-n000004-0000-e09bf03edf4f8d33.parquet",
-      "sha256": "e09bf03edf4f8d333e609d845c73ca146b554c0f85607f5e81eadff54e77718c",
-      "bytes": 735034,
-      "rows": 11,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1338",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001336.lean\",\"545fbb4c46f854093f4eb79acc4322b3b6ce8a27402837dd32b063ddc2d6e6e9\",0,\"prove_irrational\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001338.lean\",\"233a8eaafc90383df8f3a5a9b331d42762d8863d27d0251ccd49b7700b5ccd91\",0,\"double_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001339.lean\",\"226a4d3017b388e7b994044564bfcfe14b1366c0ab75bcf57767d0f5b327bfde\",0,\"solution_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 735034,
+      "path": "data/train/p5b/oproofs-s00002-r00001336-n000004-0000-e09bf03edf4f8d33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e09bf03edf4f8d333e609d845c73ca146b554c0f85607f5e81eadff54e77718c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001340-n000004.json b/manifests/batches/oproofs/s00002-r00001340-n000004.json
index d3bad5c0440c08d9495b1f24ba4161d6197f07be..b0285ab69c5cbfcbb40759663142bc7e1911a095 100644
--- a/manifests/batches/oproofs/s00002-r00001340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001340-n000004",
   "batch_fingerprint": "85ca06fa4db6b1934c417679067da7816fcc1e40f8b4809c65a2205a5ac9364f",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001340-n000004-0000-a68f827c05545380.parquet",
-      "sha256": "a68f827c05545380cfd98e09686adf1da13cded996ae3f5581687aa4af7698ca",
-      "bytes": 275921,
-      "rows": 14,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1341",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001340.lean\",\"d384abe879052e68b35bb349ed954be7b57f0e832e6e04545c423805794baf65\",0,\"min_val_of_expr\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001341.lean\",\"b2b6fd557f10f3eb7ea4734172bf46b571edee501f450ba6d1829b8a4bfc23d9\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001342.lean\",\"c0aceebcffe23f855e5802fd39272a3eb4b739d420119b4bd601e546dc64cb55\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275921,
+      "path": "data/train/p44/oproofs-s00002-r00001340-n000004-0000-a68f827c05545380.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a68f827c05545380cfd98e09686adf1da13cded996ae3f5581687aa4af7698ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001344-n000004.json b/manifests/batches/oproofs/s00002-r00001344-n000004.json
index 8f711ab891c7c38e1d6c7a29c2c33d7b0367acec..7949f7a3fc19e9a28397430d2425dae9478ec75c 100644
--- a/manifests/batches/oproofs/s00002-r00001344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001344-n000004",
   "batch_fingerprint": "2ec689049c723e30fa7038ad4d7f138883d224ca09c21e20fdcc23f7fb86f4d8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001344-n000004-0000-17dc5a79e40038ff.parquet",
-      "sha256": "17dc5a79e40038ffb2becb4d18c375a543f013488981d47f0d0778f6a7b43372",
-      "bytes": 348136,
-      "rows": 13,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001344-n000004-0000-8e651279f0841b3a.parquet",
-      "sha256": "8e651279f0841b3ad92c548db5b79920a6269f291417027bbeeb36cfca39f31f",
-      "bytes": 75057,
-      "rows": 2,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001345.lean\",\"0982f15539db15eb74735899366192cba1a52f861bbb829c02751c56fa2f1cbe\",0,\"Real.floor_eq_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001346.lean\",\"f3e09f7271ee314388cf9b035757fe13f3b03aed1c35d12716ef40f4845f643a\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001347.lean\",\"b0731c84fa9669eae7ca6714bd2fa58b0f4e8ef686c69607b52ec9e3258ca3e5\",0,\"lean_workbook_plus_41697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348136,
+      "path": "data/train/p31/oproofs-s00002-r00001344-n000004-0000-17dc5a79e40038ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "17dc5a79e40038ffb2becb4d18c375a543f013488981d47f0d0778f6a7b43372"
+    },
+    {
+      "bytes": 75057,
+      "path": "data/dev/p31/oproofs-s00002-r00001344-n000004-0000-8e651279f0841b3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e651279f0841b3ad92c548db5b79920a6269f291417027bbeeb36cfca39f31f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001348-n000004.json b/manifests/batches/oproofs/s00002-r00001348-n000004.json
index 41fb22cfd3c67bebaf2c36c411d02a92f103caed..26ab0379278bdf3709a055a5e84ac49716f66c65 100644
--- a/manifests/batches/oproofs/s00002-r00001348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001348-n000004",
   "batch_fingerprint": "c0ebdeefc8524deb55aa8829c2c2e5f540f06ca670c126d775a1d362eb0e6ea2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001348-n000004-0000-739af6f5b2ab6533.parquet",
-      "sha256": "739af6f5b2ab653313134b48b39dd8dbcdd164955a7a431e9f5e290f0ee2e4d2",
-      "bytes": 243046,
-      "rows": 17,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001349.lean\",\"a65ec1889de7ae7015f1a384e48b68b2fbcc42fee51a3f3c3bfea4c9c3f39208\",0,\"solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001350.lean\",\"7ce70aa294d2968003287cb240544da9f2ca912ff37a997875f79c62595f989c\",0,\"lean_workbook_plus_77697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001351.lean\",\"9f6380476a8b0da0b77aea6ea6079d7079e9e163098d5465b358366b6b7be05b\",0,\"lean_workbook_plus_50729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243046,
+      "path": "data/train/p46/oproofs-s00002-r00001348-n000004-0000-739af6f5b2ab6533.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "739af6f5b2ab653313134b48b39dd8dbcdd164955a7a431e9f5e290f0ee2e4d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001352-n000004.json b/manifests/batches/oproofs/s00002-r00001352-n000004.json
index e91c2283f2a14c47fec2df5de799d2d4f3d52fc4..65cc382ab2dade662f8bda2bd612eae50dc364f7 100644
--- a/manifests/batches/oproofs/s00002-r00001352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001352-n000004",
   "batch_fingerprint": "192a817b66e7278c5b2c26a8233d8098780035c1db85f491f685f6e4bdff637e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001352-n000004-0000-bb2849e65e021185.parquet",
-      "sha256": "bb2849e65e021185ed5e39442d95649cd31ce3473004fdb5a19cf21385f45353",
-      "bytes": 795852,
-      "rows": 25,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001352-n000004-0001-c126eda7cd1cdd1a.parquet",
-      "sha256": "c126eda7cd1cdd1aab324ab7494cd1e40e6366892155697f9851c341b0f90ae7",
-      "bytes": 117950,
-      "rows": 2,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1353",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001353.lean\",\"65252630660af9573ee942aea6a7c12307b110cf5ffe8b6d6de232383e7c71ac\",0,\"lean_workbook_plus_74007\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001354.lean\",\"87f6c0e5c02b81305bf23c0b0f8244a5766c6d1c69040641ebba58a3cb9907b6\",0,\"lean_workbook_plus_44883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001355.lean\",\"7f0b423ed506027cf132dad98c61aa0273adfab956360b28a89a860c8e3bc103\",0,\"lean_workbook_plus_25839\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 795852,
+      "path": "data/train/p90/oproofs-s00002-r00001352-n000004-0000-bb2849e65e021185.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "bb2849e65e021185ed5e39442d95649cd31ce3473004fdb5a19cf21385f45353"
+    },
+    {
+      "bytes": 117950,
+      "path": "data/train/p90/oproofs-s00002-r00001352-n000004-0001-c126eda7cd1cdd1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c126eda7cd1cdd1aab324ab7494cd1e40e6366892155697f9851c341b0f90ae7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001356-n000004.json b/manifests/batches/oproofs/s00002-r00001356-n000004.json
index e19bd094aab3d2fb0293e0b656c24c504cfc8f9a..84efbf00a4625c11eaad15942420519564f0f81c 100644
--- a/manifests/batches/oproofs/s00002-r00001356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001356-n000004",
   "batch_fingerprint": "4805adb5859d1d418110b4dc89a71e4772a90e7f49c2e53a4eeb1ab811c8d292",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1356",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1357",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1358",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1359"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001356.lean\",\"0e6e9e156aafb8953018acd2812cd135a58f46e638cdf501d54df5e05543e78c\",0,\"lean_workbook_plus_82663\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001357.lean\",\"bd7b5586dc33267169dff4b446af9937a646093be2dfc262a06542bb7bad9cc7\",0,\"lean_workbook_plus_58913\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001358.lean\",\"392155bdb21fde5c93e460e5e2bcd2f76cb3c37cfe31b6ae47869e85efe6f7df\",0,\"lean_workbook_20549\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001359.lean\",\"17f379ae2ec483b7b8b4110c71117b8ee61f567ba3824a7b96f0b7419f43f0a2\",0,\"lean_workbook_plus_14331\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001356-n000004-0000-260f7143e72e468b.parquet",
-      "sha256": "260f7143e72e468b31b32b9d711851f3f588078a82a0eb020aafb1f89d274774",
       "bytes": 117319,
+      "path": "data/train/p2c/oproofs-s00002-r00001356-n000004-0000-260f7143e72e468b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "260f7143e72e468b31b32b9d711851f3f588078a82a0eb020aafb1f89d274774"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001356-n000004-0000-affa42452061da77.parquet",
-      "sha256": "affa42452061da7766a166be6da68c6b3c488d0a4f4dbb83db8a90c9dbeee8d8",
       "bytes": 107591,
+      "path": "data/dev/p2c/oproofs-s00002-r00001356-n000004-0000-affa42452061da77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "affa42452061da7766a166be6da68c6b3c488d0a4f4dbb83db8a90c9dbeee8d8"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001356-n000004-0000-600de43df9d7a16c.parquet",
-      "sha256": "600de43df9d7a16c3fa1e31204968466242fbfbd391afab818fd69ee671a49fd",
       "bytes": 40619,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00001356-n000004-0000-600de43df9d7a16c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
+      "sha256": "600de43df9d7a16c3fa1e31204968466242fbfbd391afab818fd69ee671a49fd"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1356",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1357",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1358",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1359"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001356.lean\",\"0e6e9e156aafb8953018acd2812cd135a58f46e638cdf501d54df5e05543e78c\",0,\"lean_workbook_plus_82663\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001357.lean\",\"bd7b5586dc33267169dff4b446af9937a646093be2dfc262a06542bb7bad9cc7\",0,\"lean_workbook_plus_58913\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001358.lean\",\"392155bdb21fde5c93e460e5e2bcd2f76cb3c37cfe31b6ae47869e85efe6f7df\",0,\"lean_workbook_20549\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001359.lean\",\"17f379ae2ec483b7b8b4110c71117b8ee61f567ba3824a7b96f0b7419f43f0a2\",0,\"lean_workbook_plus_14331\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001360-n000004.json b/manifests/batches/oproofs/s00002-r00001360-n000004.json
index ca9c16cd575a1133a5dee6624b3e360e01c933ae..991d9e56cd33b6b381c02334c032ae582f103d73 100644
--- a/manifests/batches/oproofs/s00002-r00001360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001360-n000004",
   "batch_fingerprint": "0caf1de3303326a5e23b53a008f2f81f9b0757024e0a0436e99c3d6f53f17455",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001360-n000004-0000-79f57cf5e5d908c5.parquet",
-      "sha256": "79f57cf5e5d908c59d98f4cc3e50e30026abe477ac4b147978c78681cd8c99a1",
-      "bytes": 197422,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001361.lean\",\"6cd2d5d49bbc92bfd8177e122260cd42234d93b04462615d15cf66ba4db369cc\",0,\"arithmetic_geometric_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001362.lean\",\"a721555c3dd47d754b67cee0a6652a31921536500a38c4168b8a8be0f65bc58b\",0,\"lean_workbook_plus_52358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001363.lean\",\"5d4ff6d3da50d5d9a9d4e864975200c112c97818ee1d40abbf452127201d7987\",0,\"lean_workbook_plus_37910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197422,
+      "path": "data/train/p86/oproofs-s00002-r00001360-n000004-0000-79f57cf5e5d908c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "79f57cf5e5d908c59d98f4cc3e50e30026abe477ac4b147978c78681cd8c99a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001364-n000004.json b/manifests/batches/oproofs/s00002-r00001364-n000004.json
index 13cbe393fdb369050e26a8d1a256f6ddedf54eba..f3bdf983536b9d4559fe57e181cdaf7f03415c63 100644
--- a/manifests/batches/oproofs/s00002-r00001364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001364-n000004",
   "batch_fingerprint": "3589b0ceff1b990f9cb9105798d5eb36f134e130210ae2c187db38d74158f7d9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001364-n000004-0000-65ebc2f42e048b4b.parquet",
-      "sha256": "65ebc2f42e048b4b81bfc744f3cb5408a1158986f911be1e9b0e9023f7c2a895",
-      "bytes": 230371,
-      "rows": 23,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001365.lean\",\"63c90028dc7bdc456e5d96d6f9cdf16d4cbe6f86097233d5c4889ada681db282\",0,\"lean_workbook_plus_30970\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001366.lean\",\"9561af29b419c0fbf774738eae9965f338b32ad41a9218bad78a0600cda2385a\",0,\"quadrilateral_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001367.lean\",\"829fba111697978f5359a5486f5e960b0cdedbbd6b8e678fd55888248296e108\",0,\"lean_workbook_plus_21388\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230371,
+      "path": "data/train/p3d/oproofs-s00002-r00001364-n000004-0000-65ebc2f42e048b4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "65ebc2f42e048b4b81bfc744f3cb5408a1158986f911be1e9b0e9023f7c2a895"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001368-n000004.json b/manifests/batches/oproofs/s00002-r00001368-n000004.json
index a61d4d4fdd01a7894963798a08ddf89d16d6afee..d46365bcf4b1b6cb8c08c5475201670ff01647c5 100644
--- a/manifests/batches/oproofs/s00002-r00001368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001368-n000004",
   "batch_fingerprint": "c110a7d02e002b623392888959d5b0b5029c335353dc33382679ad8510e441b0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001368-n000004-0000-e2bcef81183ba557.parquet",
-      "sha256": "e2bcef81183ba557432caec7c52779414c74e80146d299d3891777410ebcd837",
-      "bytes": 654526,
-      "rows": 25,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001369.lean\",\"1b92a412ef7dabe2d00bf11f36ef426b997de72967b49b5876e60cccee194a3c\",0,\"sec_csc_150_degrees\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001370.lean\",\"12f4004a017394947e66af245848ffa9e9e0a69fc05deb45c4ca574c9702f75a\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001371.lean\",\"2c16917504978122ada903ccbe392d472a089dc45a8da308c2be4170b1a71835\",0,\"lean_workbook_plus_71186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 654526,
+      "path": "data/train/p1c/oproofs-s00002-r00001368-n000004-0000-e2bcef81183ba557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e2bcef81183ba557432caec7c52779414c74e80146d299d3891777410ebcd837"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001372-n000004.json b/manifests/batches/oproofs/s00002-r00001372-n000004.json
index 7084cd50deae12771cf578df5aef0a226c310d36..7c98c5c062d395bcd988004db0804afba5b7625e 100644
--- a/manifests/batches/oproofs/s00002-r00001372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001372-n000004",
   "batch_fingerprint": "b406550c0f7d28498b6eb1235f1afc87062ab447ada332d140410f218280c24d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001372-n000004-0000-a3b406208d2bb05e.parquet",
-      "sha256": "a3b406208d2bb05e8c7ff90a4b77c5b52982814bc44371d40183e05116346497",
-      "bytes": 110185,
-      "rows": 11,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001373.lean\",\"d2b629d516fa2f12a5b37795f0bdccbf3fab0947dc99fe42b083c82cac58beed\",0,\"lean_workbook_plus_57892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001374.lean\",\"5329d03992b0d5c3fc1f1301cbdc1598613d9744d03fbff8b46453353362524d\",0,\"lean_workbook_plus_58228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001375.lean\",\"04881dc3926526aa2742766edfbad21d280c2ecbe7985f8c29343c3e9715ca93\",0,\"lean_workbook_plus_29960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110185,
+      "path": "data/train/p29/oproofs-s00002-r00001372-n000004-0000-a3b406208d2bb05e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a3b406208d2bb05e8c7ff90a4b77c5b52982814bc44371d40183e05116346497"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001376-n000004.json b/manifests/batches/oproofs/s00002-r00001376-n000004.json
index 1421b386d8e1cc2f3fcd070a31175ffdd2c9e450..2e428d48c0a84c526fab43d734a1697b79d53e11 100644
--- a/manifests/batches/oproofs/s00002-r00001376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001376-n000004",
   "batch_fingerprint": "a65dcff78cb476a2b74a3c6de9bfb1e90aac3aae591ec35cb79dd609495c732d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001376-n000004-0000-eeab49325e8d692c.parquet",
-      "sha256": "eeab49325e8d692c88ad8ec2d7250dc1306a220c00153ff31628fee279435e59",
-      "bytes": 106951,
-      "rows": 10,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001376-n000004-0000-96d30f565e4df685.parquet",
-      "sha256": "96d30f565e4df68588362c68c98390a614ff20325236b048dd71127e1392c2b5",
-      "bytes": 81338,
-      "rows": 8,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001377.lean\",\"fa3431a961cf98606de608a9f9e52f040ba63d9a1fe7259eee66c01cf4fb0bc8\",0,\"lean_workbook_plus_27173\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001378.lean\",\"3ca29c9ac0d55c666577094fa16f5b1e03021c050efde9acb1f506c2efa3fc60\",0,\"lean_workbook_plus_46142\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001379.lean\",\"1e4f9d81931ca8377c373bfc8c7e4c1a863e1cbf382518dfd53937e6ffe03ac5\",0,\"lean_workbook_56536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106951,
+      "path": "data/train/p82/oproofs-s00002-r00001376-n000004-0000-eeab49325e8d692c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "eeab49325e8d692c88ad8ec2d7250dc1306a220c00153ff31628fee279435e59"
+    },
+    {
+      "bytes": 81338,
+      "path": "data/dev/p82/oproofs-s00002-r00001376-n000004-0000-96d30f565e4df685.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "96d30f565e4df68588362c68c98390a614ff20325236b048dd71127e1392c2b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001380-n000004.json b/manifests/batches/oproofs/s00002-r00001380-n000004.json
index 499845dc5deb359a44a5d4696d7fdba365a28596..7239e145c4deb6d8f17560b0d10048554b84b518 100644
--- a/manifests/batches/oproofs/s00002-r00001380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001380-n000004",
   "batch_fingerprint": "6546768d4af667c0354970dbadd23b00fbb81d7538a5ea95a4b81cdc378ddbb6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001380-n000004-0000-4c6c9764749d1ebf.parquet",
-      "sha256": "4c6c9764749d1ebf7fa1729e083d3138cf6f5955cc67bdab026787e314070249",
-      "bytes": 196411,
-      "rows": 19,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001381.lean\",\"417600c3170163115a66296695f69310144aee0524b20cb54f2d1196fbf67384\",0,\"x_in_interval_one_two\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001382.lean\",\"f0cc3907f361aada4c654172b0b234ff0c16a9047614cd409e0e9f1caa8acf0a\",0,\"lean_workbook_plus_24698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001383.lean\",\"f1220684c4549bd3893ba1b533e04aaeb82d50600a3d6201a3aee5b2897e8a75\",0,\"lean_workbook_plus_43906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196411,
+      "path": "data/train/pe5/oproofs-s00002-r00001380-n000004-0000-4c6c9764749d1ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4c6c9764749d1ebf7fa1729e083d3138cf6f5955cc67bdab026787e314070249"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001384-n000004.json b/manifests/batches/oproofs/s00002-r00001384-n000004.json
index bb5b4fed5ee9a21c2092f3ac9ee8db453072696a..abc4bf43e7f71a6624ef817309d0477271199f84 100644
--- a/manifests/batches/oproofs/s00002-r00001384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001384-n000004",
   "batch_fingerprint": "6fd61b804865bde54f9dc2d168bdf83b00a7001947de84cfe4dbb4a7618c8fc2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001384-n000004-0000-ba3a59d13804c599.parquet",
-      "sha256": "ba3a59d13804c599d5d4f6d20ec1046be41a24d068b6aed412faf6b4a1d3ed53",
-      "bytes": 175955,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001385.lean\",\"4c219b77dcba410ebf726994a0467eec6b8e13b3b45e1610f69fd2b04599b127\",0,\"lean_workbook_plus_54229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001386.lean\",\"49ccd54254d3922461c84ef16f69ec3f4e6ffdb3377df961e71d4bf64f666e2d\",0,\"lean_workbook_plus_1971\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001387.lean\",\"31d5fa41662d82d668b0754332c30793ef01f53782a6748e93690f7a3ea947d2\",0,\"cubic_equation_root_location\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175955,
+      "path": "data/train/pdd/oproofs-s00002-r00001384-n000004-0000-ba3a59d13804c599.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ba3a59d13804c599d5d4f6d20ec1046be41a24d068b6aed412faf6b4a1d3ed53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001388-n000004.json b/manifests/batches/oproofs/s00002-r00001388-n000004.json
index f7aef08d76fccaca29f018a044d43833f2c4d38f..fd00059f65da64c64c576fc623ceae2233cec46a 100644
--- a/manifests/batches/oproofs/s00002-r00001388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001388-n000004",
   "batch_fingerprint": "7aad23e5305f3afabef972a412e86822de62182e9e3afb01416e37bed716f81e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001388-n000004-0000-77d06fbb522ffc01.parquet",
-      "sha256": "77d06fbb522ffc01c8c8551b7a049174e0dff3a5b2a20d06f639e0e5ce1b8b2b",
-      "bytes": 309176,
-      "rows": 15,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001388-n000004-0000-f241ef306f50d3dd.parquet",
-      "sha256": "f241ef306f50d3ddc096ccee7416300a778f1c96fb97f466d053760557740eac",
-      "bytes": 37513,
-      "rows": 2,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001389.lean\",\"bf3ee472d06426a5dc194a7ac1996f5b04c6a7ecdfe14314566b0e967be0008e\",0,\"lean_workbook_plus_48801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001390.lean\",\"5d8001506d00139a888b142cf15c64f1223c870ec040e551e83b6172bc8a1a33\",0,\"lean_workbook_plus_61516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001391.lean\",\"b49a6a3923f59c210c284cae79077ba6df54e882585d4bfa0966d0aec9b49463\",0,\"sum_reciprocal_cubes_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309176,
+      "path": "data/train/pff/oproofs-s00002-r00001388-n000004-0000-77d06fbb522ffc01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "77d06fbb522ffc01c8c8551b7a049174e0dff3a5b2a20d06f639e0e5ce1b8b2b"
+    },
+    {
+      "bytes": 37513,
+      "path": "data/dev/pff/oproofs-s00002-r00001388-n000004-0000-f241ef306f50d3dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f241ef306f50d3ddc096ccee7416300a778f1c96fb97f466d053760557740eac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001392-n000004.json b/manifests/batches/oproofs/s00002-r00001392-n000004.json
index b601bb87acc644ae06378ed916ad2b4381be812c..54e9ba8fb07b82897d5d6f5fca75415f07dfb65e 100644
--- a/manifests/batches/oproofs/s00002-r00001392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001392-n000004",
   "batch_fingerprint": "98308146e5f9b0f33e0619a5f3abe977877c31556fee2765956cdefbed1909e5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001392-n000004-0000-7f3717daa7724d71.parquet",
-      "sha256": "7f3717daa7724d71fa6d857d867c2c0689d82e7f27af204b0999ec8ba660442f",
-      "bytes": 270535,
-      "rows": 16,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001393.lean\",\"82c47e137d1887b710047f41df72664f6a6ee24cb221005ac7ed1d183c3c847a\",0,\"lean_workbook_plus_18707\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001394.lean\",\"f075c5b17568cf4d23bda400b71d11dea9786636db43838a8cdd342359ee04a6\",0,\"lean_workbook_plus_64456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001395.lean\",\"44dfa00ddbf47a3cdddfdd4357905ae68526a8490c851d4ccd7cf86c30a71451\",0,\"intersection_chord_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270535,
+      "path": "data/train/p7e/oproofs-s00002-r00001392-n000004-0000-7f3717daa7724d71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7f3717daa7724d71fa6d857d867c2c0689d82e7f27af204b0999ec8ba660442f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001396-n000004.json b/manifests/batches/oproofs/s00002-r00001396-n000004.json
index 92663076deae056ab1bdc2086ae116e476e03771..2a0413015c40a3547c5d3458f2e83d496c09a760 100644
--- a/manifests/batches/oproofs/s00002-r00001396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001396-n000004",
   "batch_fingerprint": "620883d94cc99bc4c62ed7f76423ae26db39bbc09aeef6f6b0aa91e3ed0332a6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001396-n000004-0000-d0ed975ed9aa5982.parquet",
-      "sha256": "d0ed975ed9aa5982e5420b11a64bdfdf7f3a807bd36adb2ba26fdb2f2559c19e",
-      "bytes": 223237,
-      "rows": 19,
-      "revision": "8045def678c431e5b6cdd01835c00bcb585c5b11"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001397.lean\",\"959c5278c06df46eef7b18131beb354801f3d1341d7bd2f04b5215e392556a23\",0,\"lean_workbook_plus_42198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001398.lean\",\"dbfb281d0340dd32402ac42e095fff74ea445ddd6e68aaa2e2bf3b0c125ee0ed\",0,\"lean_workbook_plus_49331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001399.lean\",\"4cfba61779b0a091adec80e44cb9fb5e752cc202c1697dbb482bea858425be77\",0,\"lean_workbook_plus_16411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223237,
+      "path": "data/train/pcf/oproofs-s00002-r00001396-n000004-0000-d0ed975ed9aa5982.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d0ed975ed9aa5982e5420b11a64bdfdf7f3a807bd36adb2ba26fdb2f2559c19e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001400-n000004.json b/manifests/batches/oproofs/s00002-r00001400-n000004.json
index 89aa803a4c0be944ce5009ec4ffac9c1bf0fdfd3..f8ebf2c8e8c42c892bc364fd715d333d2c4b6180 100644
--- a/manifests/batches/oproofs/s00002-r00001400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001400-n000004",
   "batch_fingerprint": "b6485c80eb30c8de79af5c822e7f5105cf7f1903e0e62250fd886f928e00419c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001400-n000004-0000-b1bc906e5544fc83.parquet",
-      "sha256": "b1bc906e5544fc8375289c65150977a8a803f090d9b7e9e809d2516f94a9b48a",
-      "bytes": 438062,
-      "rows": 20,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001401.lean\",\"38d6f0569933d8070660e362730a415ffe9993a124871ec8f6e62904959f5f64\",0,\"lean_workbook_plus_14526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001402.lean\",\"72d6e5b30cfc686435f73f3e60e2e9eec7fc6db41eaaf2973ecd1919d5024bca\",0,\"lean_workbook_plus_45151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001403.lean\",\"f6f08683f13aab73487612c1bd156c40c5fd698e4c4afca6d01b8216b7e4b52d\",0,\"lean_workbook_plus_30419\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438062,
+      "path": "data/train/p26/oproofs-s00002-r00001400-n000004-0000-b1bc906e5544fc83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "b1bc906e5544fc8375289c65150977a8a803f090d9b7e9e809d2516f94a9b48a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001404-n000004.json b/manifests/batches/oproofs/s00002-r00001404-n000004.json
index 237414b6d5e01bfe0cdda7feab0c390856b3f3a1..de9f093c9c00331e5b756819ff21a015aa9b511c 100644
--- a/manifests/batches/oproofs/s00002-r00001404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001404-n000004",
   "batch_fingerprint": "f068e78618fba7bf6280c091a216d34398e8cd02bdbd3981d6164569dfebf1e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001404-n000004-0000-e3de7a1681b97c78.parquet",
-      "sha256": "e3de7a1681b97c7814c6489ab21d7da54bff14f7808a13df7fa91b55b668387b",
-      "bytes": 272070,
-      "rows": 15,
-      "revision": "5cce0ef62cae9bc2a61c56f3e2bd74ef722bdba0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001405.lean\",\"4f88f13d3bfae695ef3af3b6e821449da3ff9c9ecd96ea6838ec3f79e094ae20\",0,\"normal_hgroup\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001406.lean\",\"63e746f36810fdffbe027807c8edc2b37412b049fe0441fd08594ee02ee9fafb\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001407.lean\",\"2f38d23d1c78c2fcb2e61a617450e445d9dd988f8756bc0020ed39caa7ea5b4b\",0,\"MatrixSum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272070,
+      "path": "data/train/p4a/oproofs-s00002-r00001404-n000004-0000-e3de7a1681b97c78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e3de7a1681b97c7814c6489ab21d7da54bff14f7808a13df7fa91b55b668387b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001408-n000004.json b/manifests/batches/oproofs/s00002-r00001408-n000004.json
index 15c4231a8db78866a367e1a097bc592ab594a7f2..f8d2869ab7d240b83c79a84d0324a0fe16781d0c 100644
--- a/manifests/batches/oproofs/s00002-r00001408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001408-n000004",
   "batch_fingerprint": "9e1519d1d4dc8581f9741da00ca308c0680fa49cba66a70e7479ab23224bcc80",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000001/oproofs-s00002-r00001408-n000004-0000-f37924321719fc2d.parquet",
-      "sha256": "f37924321719fc2db97d05e73c0bb4bb55055574b4e986fe71b548f29944867c",
-      "bytes": 81565,
-      "rows": 4,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000001/oproofs-s00002-r00001408-n000004-0000-a942f743443089ce.parquet",
-      "sha256": "a942f743443089ce5c583dc9227eb318428692c6c00cda66438478487764faad",
-      "bytes": 365329,
-      "rows": 7,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1409",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1410",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001409.lean\",\"7e75ee567a552683389577c1d80e2169e9c3eb4073e11b53d84785b73ef473dc\",0,\"double_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001410.lean\",\"176ba5572f2cb3ca35d0f69aaa282f0e2784c3bb1cf9f89ac437d979f26196ae\",0,\"sqrt_diff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001411.lean\",\"f37b00b0532b648e733a64381e838b7661570e9e39a3f4cf9ee70cff0c6aa594\",0,\"TopologyFilterRealFunction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81565,
+      "path": "data/train/p2f/oproofs-s00002-r00001408-n000004-0000-f37924321719fc2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f37924321719fc2db97d05e73c0bb4bb55055574b4e986fe71b548f29944867c"
+    },
+    {
+      "bytes": 365329,
+      "path": "data/internal_test/p2f/oproofs-s00002-r00001408-n000004-0000-a942f743443089ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a942f743443089ce5c583dc9227eb318428692c6c00cda66438478487764faad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001412-n000004.json b/manifests/batches/oproofs/s00002-r00001412-n000004.json
index 1d297b76694e39b6b4fae1e83aa32e5767c46d99..9e3be9b5ef4400dbb3cd8c18ebf8242e51b5cfc4 100644
--- a/manifests/batches/oproofs/s00002-r00001412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001412-n000004",
   "batch_fingerprint": "13646fe860241f8d7db5cb5e902897274efbcdb1e54fe9614f3219ac459883ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001412-n000004-0000-807c62c4039a9694.parquet",
-      "sha256": "807c62c4039a96941e8bebf213fdd5a75218387b846114a2e37fe9ec07b81a0f",
-      "bytes": 203146,
-      "rows": 22,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001413.lean\",\"6cf831ee8269eab0096f2dbc40767d23a48b522e6fa38974125eb093b0af661d\",0,\"initial_pressure_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001414.lean\",\"2f8d11bd6e669c8988b079a6924678ea5931d78c13613642d8367d2877775ab0\",0,\"cos_eq_1_minus_x2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001415.lean\",\"1608c4b345ce1d8341cb53a3a26ede756bac9d191d99e351313ec785f65afc3d\",0,\"EuclideanGeometry.Triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203146,
+      "path": "data/train/p62/oproofs-s00002-r00001412-n000004-0000-807c62c4039a9694.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "807c62c4039a96941e8bebf213fdd5a75218387b846114a2e37fe9ec07b81a0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001416-n000004.json b/manifests/batches/oproofs/s00002-r00001416-n000004.json
index b3239527d4fcac628f5614a4ea914655ae82d90c..7da935d891fbe355b52a78665f1573ab79219ed1 100644
--- a/manifests/batches/oproofs/s00002-r00001416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001416-n000004",
   "batch_fingerprint": "8c6d085000e4b46b759fb7b7cb8d5c37bfc8bddf26a3527bea043406c849f785",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001416-n000004-0000-764950ea219d01ed.parquet",
-      "sha256": "764950ea219d01ed16896be9a36d6c96f25955bb7fbc5c4bb026d556a9e613d4",
-      "bytes": 248327,
-      "rows": 14,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001416-n000004-0000-57667690783b0c0a.parquet",
-      "sha256": "57667690783b0c0a70ac31ad36084fd1a0f5bd5130faad6ee0e826d60e0ac869",
-      "bytes": 99028,
-      "rows": 8,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001417.lean\",\"c8693faab21090381298ed5478d859341881dfe6cb8a06afd9f6d974ed147cc9\",0,\"lean_workbook_plus_39964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001418.lean\",\"52b1befaa8f2a08cfbc7dda575f8cd92b51483171d7213482dfad133cd9fde26\",0,\"lean_workbook_plus_77697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001419.lean\",\"781d9ea1faabb15e9eb333d93bf54749807bdc0b3d56d83dacbb26fd318118dc\",0,\"lean_workbook_32210\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248327,
+      "path": "data/train/ped/oproofs-s00002-r00001416-n000004-0000-764950ea219d01ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "764950ea219d01ed16896be9a36d6c96f25955bb7fbc5c4bb026d556a9e613d4"
+    },
+    {
+      "bytes": 99028,
+      "path": "data/dev/ped/oproofs-s00002-r00001416-n000004-0000-57667690783b0c0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "57667690783b0c0a70ac31ad36084fd1a0f5bd5130faad6ee0e826d60e0ac869"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001420-n000004.json b/manifests/batches/oproofs/s00002-r00001420-n000004.json
index ac828c8c61882542a22f648d782179b59c4b7465..59dc60d4568bd552da3aacba115a98759b41f9a4 100644
--- a/manifests/batches/oproofs/s00002-r00001420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001420-n000004",
   "batch_fingerprint": "4f4bab49f147415e55625148cfb8d9a8b8eef8e96b19697009cfe280023ff3c5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001420-n000004-0000-0d4c683860b30858.parquet",
-      "sha256": "0d4c683860b308581b0949623d6e4fb40b605f112e6cbb6f14fcbbfff4279fe0",
-      "bytes": 104591,
-      "rows": 12,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001420-n000004-0000-72d595529a17c6df.parquet",
-      "sha256": "72d595529a17c6dfb18dbface56e157813d771718d4e3e33b396fbe28b1db6b8",
-      "bytes": 43394,
-      "rows": 3,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1421",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001421.lean\",\"035d1660f8ab95627bf094e6d5265d86f36e881b89eae381bb8d500792f1df85\",0,\"lean_workbook_plus_50729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001422.lean\",\"f801990c95e2b2b45ae53772c974dadca305985ae71578e22781ef43dcf0dbc3\",0,\"lean_workbook_plus_58913\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001423.lean\",\"709ceb428ee0626d53cc3fc3a6cf215cfabb2745a8713bed88653b03767d5fd4\",0,\"lean_workbook_plus_82663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104591,
+      "path": "data/train/p2c/oproofs-s00002-r00001420-n000004-0000-0d4c683860b30858.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0d4c683860b308581b0949623d6e4fb40b605f112e6cbb6f14fcbbfff4279fe0"
+    },
+    {
+      "bytes": 43394,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00001420-n000004-0000-72d595529a17c6df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "72d595529a17c6dfb18dbface56e157813d771718d4e3e33b396fbe28b1db6b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001424-n000004.json b/manifests/batches/oproofs/s00002-r00001424-n000004.json
index d36ef5d5531add52dad5e82031592f8aa58441b3..c6345b4b9cf823e9039c7d207ad8cdb07e7f4f43 100644
--- a/manifests/batches/oproofs/s00002-r00001424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001424-n000004",
   "batch_fingerprint": "eb4743451d945340ef82e7e9c5d0f85454bbbb646d0bc40fdc326d879a8d89ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001424-n000004-0000-0edf9d3a085015b1.parquet",
-      "sha256": "0edf9d3a085015b1947d620bb9e04e4bfc9bfa811ffcda2e24b209ed1bda1e32",
-      "bytes": 153280,
-      "rows": 13,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001424-n000004-0000-a0d32a39952fc9a5.parquet",
-      "sha256": "a0d32a39952fc9a576da9da87ed25aefd541359c28830809240bf760f24e6f11",
-      "bytes": 89531,
-      "rows": 7,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001425.lean\",\"7afda91b05e968395b9a4a710f4784ce754924ab3544c6d4cf7e01a9e5480fa1\",0,\"lean_workbook_plus_7873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001426.lean\",\"d8da880f82f87c0d250dc69c84756de9c261b9d3485938a9ba2e6aaa87a57601\",0,\"lean_workbook_plus_37910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001427.lean\",\"b2508b2cb945d7e28807c8b1563ac489c9b9b657ca688e327b7b4c3b57b9d588\",0,\"lean_workbook_plus_14331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153280,
+      "path": "data/train/pf2/oproofs-s00002-r00001424-n000004-0000-0edf9d3a085015b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0edf9d3a085015b1947d620bb9e04e4bfc9bfa811ffcda2e24b209ed1bda1e32"
+    },
+    {
+      "bytes": 89531,
+      "path": "data/dev/pf2/oproofs-s00002-r00001424-n000004-0000-a0d32a39952fc9a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a0d32a39952fc9a576da9da87ed25aefd541359c28830809240bf760f24e6f11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001428-n000004.json b/manifests/batches/oproofs/s00002-r00001428-n000004.json
index fc49dc7bd1dbad1afad574170853aba3e41ec150..3d924d854588e4e77f49963ec5ac90e288b40bb1 100644
--- a/manifests/batches/oproofs/s00002-r00001428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001428-n000004",
   "batch_fingerprint": "364cc814d18499790b522ae1dd419e2dac02438c685bc7275eea75957e2a4643",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001428-n000004-0000-70dc8a6b44d8973b.parquet",
-      "sha256": "70dc8a6b44d8973bb77b91d7704a328d92cc2aa61319bf1fce0bc1f56f6131af",
-      "bytes": 338570,
-      "rows": 21,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001429.lean\",\"bb20894b7919e7d1f8fc8274eb9b8a70c5eece6f6c165bd6bd9245849f014012\",0,\"lean_workbook_plus_52358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001430.lean\",\"c2087c1b7ba6c37ca37e1509267ecd711caee64882477ab5abc3a89fcc4a30a2\",0,\"solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001431.lean\",\"ef536bbbb48403fee1fd19b42522568662ff3d428191934900a7693bc4cdf9d2\",0,\"quadrilateral_area\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338570,
+      "path": "data/train/pdb/oproofs-s00002-r00001428-n000004-0000-70dc8a6b44d8973b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "70dc8a6b44d8973bb77b91d7704a328d92cc2aa61319bf1fce0bc1f56f6131af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001432-n000004.json b/manifests/batches/oproofs/s00002-r00001432-n000004.json
index 9ab8601755307de5520090c3ebabd8b50fe25945..e5088fd29a726091550cd8565eeb58451e3ffcd9 100644
--- a/manifests/batches/oproofs/s00002-r00001432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001432-n000004",
   "batch_fingerprint": "15e3e8cbcb9c58ebf2ff6bd83b5eb3d7fe62f5dae14d0e1cc230734f5bce7b3a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001432-n000004-0000-0820be1be4f18223.parquet",
-      "sha256": "0820be1be4f1822384349be7ee3113a1970397223188eb1e74212df8349aeded",
-      "bytes": 424339,
-      "rows": 20,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001433.lean\",\"cec450d565934b32da5adb6a262ac6e3b22d9275f1d0ac0cf6bf74ff5162ffcb\",0,\"lean_workbook_plus_26891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001434.lean\",\"a27e669c24ee1376d104e8df04da40e09466e86af5434eeba8942791c8ee9a16\",0,\"sec_csc_150_degrees\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001435.lean\",\"5a051e5b4725233d12ea809dfb7b1e4ff968225a7b3ed254027934f572122ce9\",0,\"lean_workbook_plus_28922\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424339,
+      "path": "data/train/pf8/oproofs-s00002-r00001432-n000004-0000-0820be1be4f18223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0820be1be4f1822384349be7ee3113a1970397223188eb1e74212df8349aeded"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001436-n000004.json b/manifests/batches/oproofs/s00002-r00001436-n000004.json
index 12c080ab5f5254ef3b1ed71bcc1d0da0ca029616..7e6c575dc8cef543d0475b92dc51342363241cf1 100644
--- a/manifests/batches/oproofs/s00002-r00001436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001436-n000004",
   "batch_fingerprint": "53d734b59b40c88ad03512070d0fe2747292b98807c74a8512d51c85eb79accd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001436-n000004-0000-48ca7cf7301d2bd7.parquet",
-      "sha256": "48ca7cf7301d2bd701bbebddffd1402eeb1581795d5c13f3e80ad166c42f144e",
-      "bytes": 398532,
-      "rows": 16,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001437.lean\",\"9f30d72cacb71b23efa4392565984a3c7b25f8972c3956959d00278f5d4eff41\",0,\"lean_workbook_plus_57892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001438.lean\",\"e427ad0f42a4498961d2fb6ddf8af702cce9ae5a4df22bca09dcb9f109e939fa\",0,\"lean_workbook_plus_58228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001439.lean\",\"044d91c08d5c4fc8cb0acea8423eb1a55d97e93c0a74bb48805dc722ababb088\",0,\"lean_workbook_plus_51415\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398532,
+      "path": "data/train/pfa/oproofs-s00002-r00001436-n000004-0000-48ca7cf7301d2bd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "48ca7cf7301d2bd701bbebddffd1402eeb1581795d5c13f3e80ad166c42f144e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001440-n000004.json b/manifests/batches/oproofs/s00002-r00001440-n000004.json
index bcfec820e701576a5b3731ef9a51c80dc917d69c..f4e55591925d0026058ab89b4855d294487e461f 100644
--- a/manifests/batches/oproofs/s00002-r00001440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001440-n000004",
   "batch_fingerprint": "ae0ce0444d4b373b3917508a0f3d99ee32a1a3df1594062346baa6df5a2fb27c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001440-n000004-0000-845f32454636a31c.parquet",
-      "sha256": "845f32454636a31c6ba47e3418c246cbc2ca249de4fc804eb9d1b261917db44f",
-      "bytes": 111706,
-      "rows": 11,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001440-n000004-0000-123b8d468894b490.parquet",
-      "sha256": "123b8d468894b4909df2d5a65e039d50a04406af8f0c0a2b404b0dee660acf74",
-      "bytes": 78380,
-      "rows": 8,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1441",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001441.lean\",\"07a79305881b88a8405b32bc0340d3192914a3307160230d2802bab00d326f37\",0,\"lean_workbook_54536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001442.lean\",\"7403f0a813c53770f40960f0f9406780b8a8ea0ae190e8dd8ebb056db1905a0b\",0,\"lean_workbook_plus_46142\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001443.lean\",\"e1ce5e6d4fe9d6bd99cc8fea00002e0e9e27dea7c206272de5477795935e4e11\",0,\"lean_workbook_plus_27173\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111706,
+      "path": "data/train/p44/oproofs-s00002-r00001440-n000004-0000-845f32454636a31c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "845f32454636a31c6ba47e3418c246cbc2ca249de4fc804eb9d1b261917db44f"
+    },
+    {
+      "bytes": 78380,
+      "path": "data/dev/p44/oproofs-s00002-r00001440-n000004-0000-123b8d468894b490.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "123b8d468894b4909df2d5a65e039d50a04406af8f0c0a2b404b0dee660acf74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001444-n000004.json b/manifests/batches/oproofs/s00002-r00001444-n000004.json
index 66b98dd2dbc5830b51701d08d2fca66c6a9f2b53..e0df4461ac0e64c56f9f6d2080848777787046af 100644
--- a/manifests/batches/oproofs/s00002-r00001444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001444-n000004",
   "batch_fingerprint": "65a8e430f1bc2d3686bc07e8c0a5652d989ba704eaef3d90472bc01e25b58d19",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001444-n000004-0000-fa675844112ca097.parquet",
-      "sha256": "fa675844112ca097eb5c5205da6fad29b2d3a20d1aac1d3017f911f319262a08",
-      "bytes": 250717,
-      "rows": 19,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001445.lean\",\"5b14fdf784310e772c93e49c4507e6981eff28c502764f14e72b1d74f43574c9\",0,\"lean_workbook_plus_27646\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001446.lean\",\"1469a2e2bb685e3d77a280be47ab28079537f27752226aa41bbf2b8e92b4e30a\",0,\"lean_workbook_34322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001447.lean\",\"772b640fecb99aaca35bcff3f4338bf20ba8618fd8ec678f70a7183c3a53eefd\",0,\"x_in_interval_one_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250717,
+      "path": "data/train/p47/oproofs-s00002-r00001444-n000004-0000-fa675844112ca097.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fa675844112ca097eb5c5205da6fad29b2d3a20d1aac1d3017f911f319262a08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001448-n000004.json b/manifests/batches/oproofs/s00002-r00001448-n000004.json
index 8c13e56615b9186920566a1fcf926ae23bdc2b7e..5a12bf90274349774137878c1bc1635ca8c0b85b 100644
--- a/manifests/batches/oproofs/s00002-r00001448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001448-n000004",
   "batch_fingerprint": "e4aab13498e3fb82f2cc44d5760b3a1767b5d5570906e733e99bc1dcc5b3e358",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001448-n000004-0000-cb7a47abb7c5b060.parquet",
-      "sha256": "cb7a47abb7c5b0609aada4a230797e7da59b597ae6bde43640c540ad4fb3c419",
-      "bytes": 281522,
-      "rows": 14,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001449.lean\",\"00f38530778a7db595b21eafd7edb86a2f01c5a3d3a2913aee20607817272bf8\",0,\"lean_workbook_plus_17617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001450.lean\",\"1910c12be8350c3d3247130c67826620fd616ee921cdf043283d6959c41775aa\",0,\"lean_workbook_plus_12759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001451.lean\",\"c4490325b4cbea36bf00d4d1a5f5fd57205720ee5eddbf00506fe4bc17a226c6\",0,\"lean_workbook_plus_54229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281522,
+      "path": "data/train/pd2/oproofs-s00002-r00001448-n000004-0000-cb7a47abb7c5b060.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cb7a47abb7c5b0609aada4a230797e7da59b597ae6bde43640c540ad4fb3c419"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001452-n000004.json b/manifests/batches/oproofs/s00002-r00001452-n000004.json
index 65f154ab7f1a770aaab75a4558fe4c37875c8bf8..af30e7f60e283d2b05a5455d5fac9c13f94ffea0 100644
--- a/manifests/batches/oproofs/s00002-r00001452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001452-n000004",
   "batch_fingerprint": "39c8bd759c23ada2bf58afb26f7629bf0766b0d13add0dedddbf88195069ee12",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001452-n000004-0000-b9a1a2de1690944a.parquet",
-      "sha256": "b9a1a2de1690944a1a25ef36f7d1621334dc93fd0c6e0dd826fc9af80b3aec8b",
-      "bytes": 330918,
-      "rows": 26,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001453.lean\",\"6abca47fb99f3286fa1ea648000af0a69edd5ddf98d05f8a6af6120993783562\",0,\"cubic_equation_root_location\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001454.lean\",\"9e5f8a3064438d4e2d1af36fc9f32632bec53ec73d31fd45ae6b117686b34619\",0,\"lean_workbook_plus_70033\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001455.lean\",\"787f70a8017c9e94fe15cf18576fe460dae2e5e5e063145c86eed9c826eaa666\",0,\"min_value_polynomial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330918,
+      "path": "data/train/pcc/oproofs-s00002-r00001452-n000004-0000-b9a1a2de1690944a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b9a1a2de1690944a1a25ef36f7d1621334dc93fd0c6e0dd826fc9af80b3aec8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001456-n000004.json b/manifests/batches/oproofs/s00002-r00001456-n000004.json
index 20ca4ffe38c596eeb027834aad4e0f5a0de8d405..9ccedcbc098573097ca3144c85694a9720a28ce0 100644
--- a/manifests/batches/oproofs/s00002-r00001456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001456-n000004",
   "batch_fingerprint": "bce37d96170e83f3cec0af57f647030d5a419a75b5c028a551cd9538c3eaf90f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001456-n000004-0000-978a29ca5ae38c14.parquet",
-      "sha256": "978a29ca5ae38c142ef3fd68d8637481ad9482c07c95b8a57e56950bb4691e27",
-      "bytes": 250925,
-      "rows": 19,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001457.lean\",\"917cc149020f9b11b2d135776242277df11506d5a892eea57f09228ca35a5d6f\",0,\"lean_workbook_plus_48801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001458.lean\",\"ff17692b7b24a790c065fd8e98b7ac9812636fc2d63ac63ea0dd192da2e022d2\",0,\"lean_workbook_plus_19558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001459.lean\",\"13e2be160c2c882956ef0dd9faf391a14a3609361126ab2b72bce2cd02c4c1e7\",0,\"smallest_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250925,
+      "path": "data/train/pd4/oproofs-s00002-r00001456-n000004-0000-978a29ca5ae38c14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "978a29ca5ae38c142ef3fd68d8637481ad9482c07c95b8a57e56950bb4691e27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001460-n000004.json b/manifests/batches/oproofs/s00002-r00001460-n000004.json
index 7872b2aeb453ff743b7851024fa522ddddf83e8f..60294a61ca50867a3dfea45ec175d301f38fb393 100644
--- a/manifests/batches/oproofs/s00002-r00001460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001460-n000004",
   "batch_fingerprint": "25d4736f86fff833fbe7341dcf9a6fb5c699bdd2243a363797a1116d53e3f173",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001460-n000004-0000-e29e0fd5567f8ed0.parquet",
-      "sha256": "e29e0fd5567f8ed04c61e3ef2ed85cc84c1229ae4cfb400cbc4542243c216426",
-      "bytes": 429287,
-      "rows": 14,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001460-n000004-0000-3e9c59ceb23f20d4.parquet",
-      "sha256": "3e9c59ceb23f20d4db0a3783cfa4760e712e235da1ec4612c30cdcef83fd2119",
-      "bytes": 47211,
-      "rows": 3,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001461.lean\",\"31bdef7fcc39f7134775761cc511791f044d47cc37b80c4f6a755749b5acc0fa\",0,\"sum_reciprocal_cubes_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001462.lean\",\"8d9180abc1cac236fae08219f2ec8d7573df1610022826521d7bd61927cdae6a\",0,\"lean_workbook_plus_69848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001463.lean\",\"8917f630335272f4bb362b9968243bb6e92f07ac1714e5677b1ec47fc9606df7\",0,\"lean_workbook_plus_80022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429287,
+      "path": "data/train/pfa/oproofs-s00002-r00001460-n000004-0000-e29e0fd5567f8ed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e29e0fd5567f8ed04c61e3ef2ed85cc84c1229ae4cfb400cbc4542243c216426"
+    },
+    {
+      "bytes": 47211,
+      "path": "data/dev/pfa/oproofs-s00002-r00001460-n000004-0000-3e9c59ceb23f20d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3e9c59ceb23f20d4db0a3783cfa4760e712e235da1ec4612c30cdcef83fd2119"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001464-n000004.json b/manifests/batches/oproofs/s00002-r00001464-n000004.json
index 54510afe8733aefca77b1d5c5b6da131f0d7a1f5..15c69a8d85ec738be4085a648418758efd29fd71 100644
--- a/manifests/batches/oproofs/s00002-r00001464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001464-n000004",
   "batch_fingerprint": "621cb414662e6146d91e33b02faf64c7d5b0993d74bfce90b3fc29145c5c9fb5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001464-n000004-0000-69121f8ac305f0bd.parquet",
-      "sha256": "69121f8ac305f0bdaa0379b662d25311ffe6234deb48efa06579dfc393eff008",
-      "bytes": 214377,
-      "rows": 15,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001465.lean\",\"0e7549a745463630f3f2c9e8a88c94ef82b3b9b4681edce07ced14ae4285f022\",0,\"lean_workbook_plus_64456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001466.lean\",\"e18d266d41faaae2536363b43c8e8bc94990a8abfd6013d2ed5c79c9565477d1\",0,\"intersection_chord_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001467.lean\",\"ab788a55cec687a852001ba3feb848cabe751d297218a6db0c11a4f4e1f8f371\",0,\"lean_workbook_plus_42198\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214377,
+      "path": "data/train/p3f/oproofs-s00002-r00001464-n000004-0000-69121f8ac305f0bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "69121f8ac305f0bdaa0379b662d25311ffe6234deb48efa06579dfc393eff008"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001468-n000004.json b/manifests/batches/oproofs/s00002-r00001468-n000004.json
index 6d323687fba853332b57086c973e0286365fd123..fc30b941aa1d544d17d1e74b621a6620d78a80cb 100644
--- a/manifests/batches/oproofs/s00002-r00001468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001468-n000004",
   "batch_fingerprint": "66f71be8a37bc01cd52cf724472751c15903c6248d3e01f3ea837e2fe6abae97",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001468-n000004-0000-823e358419aa6a26.parquet",
-      "sha256": "823e358419aa6a264ae500ab14331e6d2bf1bf2202013cbef4ae6848b131424d",
-      "bytes": 537065,
-      "rows": 21,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1469",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001469.lean\",\"14507a97f9da8efb9b7764ddb814b1cd434f65e21a9a83f81dbf19e6526e3e6e\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001470.lean\",\"ebc7c130136676f9047ed98b45014e784210ad9f92542e9387733e33a7ed5860\",0,\"lean_workbook_plus_49331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001471.lean\",\"dccd8e81b2d9a17d4b7c247a2f2ec2cb2ffb64b6d48cb0a2759d678236c894fd\",0,\"lean_workbook_plus_14526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 537065,
+      "path": "data/train/pfb/oproofs-s00002-r00001468-n000004-0000-823e358419aa6a26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "823e358419aa6a264ae500ab14331e6d2bf1bf2202013cbef4ae6848b131424d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001472-n000004.json b/manifests/batches/oproofs/s00002-r00001472-n000004.json
index 66ac177160d5c72997919aa391d5b65f1283c58c..d4b85365720d9e85eed1df9ef90cdfe87af64679 100644
--- a/manifests/batches/oproofs/s00002-r00001472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001472-n000004",
   "batch_fingerprint": "d9f198c140754a2e7b484212a9af5cdd77dd32df94d4071f7a2372e690c18f90",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001472-n000004-0000-a2b392bdf3886829.parquet",
-      "sha256": "a2b392bdf3886829768e4aed2659a9381b37d6ded19ff428547c923eaa50e65a",
-      "bytes": 367905,
-      "rows": 21,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1473",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001473.lean\",\"a50c8d3e9d8b76a8fddab7cbb968a3872388171fcf016c8602dec938e277075d\",0,\"lean_workbook_plus_75124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001474.lean\",\"e7213f694adf5e22af2d0b6f64eeb9758a4804391d7f52c9f837af63ebcfbc60\",0,\"lean_workbook_plus_51424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001475.lean\",\"8ea476ecbef490fc42b9183f3abd8aa1307a33e27ab5d87cbf9046c1abf9a9c2\",0,\"lean_workbook_plus_45151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367905,
+      "path": "data/train/p23/oproofs-s00002-r00001472-n000004-0000-a2b392bdf3886829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a2b392bdf3886829768e4aed2659a9381b37d6ded19ff428547c923eaa50e65a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001476-n000004.json b/manifests/batches/oproofs/s00002-r00001476-n000004.json
index ddc3adc4ca501818e3c5bad64bd95222ae897d5d..48e9e36141c31fc8b013fadf72269d1d523d9877 100644
--- a/manifests/batches/oproofs/s00002-r00001476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001476-n000004",
   "batch_fingerprint": "bbbb02bd2a5cd7b1d733ad4a91fc489e66a03ea824ba36e47b3c6c3c5152d21d",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001476-n000004-0000-5a2786aa0c2d1a72.parquet",
-      "sha256": "5a2786aa0c2d1a7293c36becd008101844bbedfa1ae314f9d5c33e9bbf5196a5",
-      "bytes": 359859,
-      "rows": 13,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1477",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001476.lean\",\"84fc286aa6e099ed9da12450e7644013a3b61d36770f9ec7aa871c3fda1a4ae0\",0,\"lean_workbook_plus_64427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001477.lean\",\"bc99812a4caf41b05f761c3f2b62a3fb8e0c0920c5ce2739991272bba63543d6\",0,\"lean_workbook_plus_15588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001479.lean\",\"d7329bcebe5b0159172d5a64b5a1ea914f5ec8822f867c31101d22e09aacea54\",0,\"MatrixSum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359859,
+      "path": "data/train/p20/oproofs-s00002-r00001476-n000004-0000-5a2786aa0c2d1a72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5a2786aa0c2d1a7293c36becd008101844bbedfa1ae314f9d5c33e9bbf5196a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001480-n000004.json b/manifests/batches/oproofs/s00002-r00001480-n000004.json
index 4d7227a026041c2e1a267c880b4792acc4293792..f46c64c78a3fbe101e0bad4876ecee42ee3b9585 100644
--- a/manifests/batches/oproofs/s00002-r00001480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001480-n000004",
   "batch_fingerprint": "8dfe0e044ce88ada7886bf67528c0d9eb4ad4ea673ffcfdcf95c0ea9353f4ed4",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000001/oproofs-s00002-r00001480-n000004-0000-0d8f069c089d51b0.parquet",
-      "sha256": "0d8f069c089d51b0138cd293be18850cca754c64d09d81e04707348f2ae38026",
-      "bytes": 79151,
-      "rows": 5,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000001/oproofs-s00002-r00001480-n000004-0000-5346c90c9c273073.parquet",
-      "sha256": "5346c90c9c273073dd3469f0898a15d90bc5906a0d5e756673c2eadc5efb2acf",
-      "bytes": 185678,
-      "rows": 14,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1481",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001480.lean\",\"b8bd421bea83c45fc5e34aadf77de84fc5c34948bbe6cedd9f91ad813ec05f75\",0,\"first\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001481.lean\",\"1706bf2a7c13346a8a12e5907d06fc064cc9e858091495454ea06ffcb0ecce52\",0,\"convexity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001483.lean\",\"7c9913d9fcec5eeb581ed5228702dcfd22c9ac97cdd0bbbb6509b2db06b29953\",0,\"double_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79151,
+      "path": "data/train/peb/oproofs-s00002-r00001480-n000004-0000-0d8f069c089d51b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0d8f069c089d51b0138cd293be18850cca754c64d09d81e04707348f2ae38026"
+    },
+    {
+      "bytes": 185678,
+      "path": "data/dev/peb/oproofs-s00002-r00001480-n000004-0000-5346c90c9c273073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5346c90c9c273073dd3469f0898a15d90bc5906a0d5e756673c2eadc5efb2acf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001484-n000004.json b/manifests/batches/oproofs/s00002-r00001484-n000004.json
index 7102af0988e711617680aef6a1603b7b9f1e4f59..4b5efd7a986287ee41f7c43d0aaf87728cc67ee7 100644
--- a/manifests/batches/oproofs/s00002-r00001484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001484-n000004",
   "batch_fingerprint": "2f729c96acdfd22c7b94b285e0b09fb90860855f5ac00db8c0c8849f70ab1fe6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1484",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1485",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1486",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1487"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001484.lean\",\"970a1792093b4885cb71c3dbf794475519c559d6d7f5e50963edc8506d991b29\",0,\"tan_eq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001485.lean\",\"8d4d33cacc2a02e72e21872da3f97846095d6d36f8a7a4e63a8dbbac6502ed61\",0,\"sqrt_diff\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001486.lean\",\"05a669e07b06d45493ffff2eaf8cc43acd5c21eb2047fc16c8922dc7075d8ad0\",0,\"min_val_of_expr\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001487.lean\",\"a2519664014680f2e5f7abbe318c0693422f4f7021a8217013eb2e2eca9c60d0\",0,\"inequalities\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001484-n000004-0000-0b86e76aabe06f0c.parquet",
-      "sha256": "0b86e76aabe06f0ca6323b8475f51b613f435f09595128fb03220c837e08a72e",
       "bytes": 650905,
+      "path": "data/train/p82/oproofs-s00002-r00001484-n000004-0000-0b86e76aabe06f0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
+      "sha256": "0b86e76aabe06f0ca6323b8475f51b613f435f09595128fb03220c837e08a72e"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001484-n000004-0001-b1404ca6f8f3d77a.parquet",
-      "sha256": "b1404ca6f8f3d77ad91c596a23998eb1fa2998f5b03a4aa36d859881823827dd",
       "bytes": 345266,
+      "path": "data/train/p82/oproofs-s00002-r00001484-n000004-0001-b1404ca6f8f3d77a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
+      "sha256": "b1404ca6f8f3d77ad91c596a23998eb1fa2998f5b03a4aa36d859881823827dd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001484-n000004-0000-375157be33a8dedb.parquet",
-      "sha256": "375157be33a8dedb7c1c790e91137ca471743299c3fb1eeceaaf3a8241757d33",
       "bytes": 499497,
+      "path": "data/internal_test/p82/oproofs-s00002-r00001484-n000004-0000-375157be33a8dedb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
+      "sha256": "375157be33a8dedb7c1c790e91137ca471743299c3fb1eeceaaf3a8241757d33"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1484",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1485",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1486",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1487"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001484.lean\",\"970a1792093b4885cb71c3dbf794475519c559d6d7f5e50963edc8506d991b29\",0,\"tan_eq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001485.lean\",\"8d4d33cacc2a02e72e21872da3f97846095d6d36f8a7a4e63a8dbbac6502ed61\",0,\"sqrt_diff\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001486.lean\",\"05a669e07b06d45493ffff2eaf8cc43acd5c21eb2047fc16c8922dc7075d8ad0\",0,\"min_val_of_expr\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001487.lean\",\"a2519664014680f2e5f7abbe318c0693422f4f7021a8217013eb2e2eca9c60d0\",0,\"inequalities\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001488-n000004.json b/manifests/batches/oproofs/s00002-r00001488-n000004.json
index 953ab3ebf3f47509bfb97ce5e85cd27c961f463d..6c1fee5b5f74b4b8b3df1463000a6eece4324ab7 100644
--- a/manifests/batches/oproofs/s00002-r00001488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001488-n000004",
   "batch_fingerprint": "80df52ae8d01e8714fdad02851137847975156dd1e319e1e94ab6ec89d03af52",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001488-n000004-0000-bfaedd24640ef274.parquet",
-      "sha256": "bfaedd24640ef274f9cbdeba42bccb5deeb4ed30bba77a5a0ef9fe1cf6483c39",
-      "bytes": 275507,
-      "rows": 10,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001488-n000004-0000-c8c3b11c8c900b88.parquet",
-      "sha256": "c8c3b11c8c900b88172598cf3ffee86c15298653f910dbeeb5b0f415cf639bda",
-      "bytes": 89076,
-      "rows": 2,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001489.lean\",\"cce8c1fa03028442570833cf55a5d5260eebb868325beb05acb359088154c9ff\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001490.lean\",\"d62333f7f524a611ca1a7f333b4609ef072430026ecd785dff3807c58969cca7\",0,\"cos_eq_1_minus_x2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001491.lean\",\"6baf78bbccf3574cd9cd39d142147cd8861965bab4ec824d0f7e1fedd8aa80a4\",0,\"Real.floor_eq_1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275507,
+      "path": "data/train/p9e/oproofs-s00002-r00001488-n000004-0000-bfaedd24640ef274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bfaedd24640ef274f9cbdeba42bccb5deeb4ed30bba77a5a0ef9fe1cf6483c39"
+    },
+    {
+      "bytes": 89076,
+      "path": "data/dev/p9e/oproofs-s00002-r00001488-n000004-0000-c8c3b11c8c900b88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c8c3b11c8c900b88172598cf3ffee86c15298653f910dbeeb5b0f415cf639bda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001492-n000004.json b/manifests/batches/oproofs/s00002-r00001492-n000004.json
index d1ad4a8d4f6ca09b70547e4fcafe436ab8cb8f9f..4d7c1455dcfe04de80fa8d31d1df69b390d7ba88 100644
--- a/manifests/batches/oproofs/s00002-r00001492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001492-n000004",
   "batch_fingerprint": "c9e4f4d15a8bf7c4d2209f2ce9d7c6bb780685754c466adf5a010b44f48168a7",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001492-n000004-0000-a2d83ebe7cfa3082.parquet",
-      "sha256": "a2d83ebe7cfa308295c4aaa2948055fb04e15ac920c6f356c152b23ef6433f1e",
-      "bytes": 213139,
-      "rows": 15,
-      "revision": "f061d4e8a3062ad42f0b720382a753e8211acc3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1493",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1494",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001493.lean\",\"b78ee858c1ba07ef0c919e975fbb0cb3e691a9b053d4b9310320a903a4484354\",0,\"lean_workbook_plus_41697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001494.lean\",\"8bf85a769a1c04cf316033371daacdb9e2c3a8338b5bb93931539949e2a1cade\",0,\"lean_workbook_plus_39964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001495.lean\",\"1eb1be63a1ec4862b89ffa27c1b3fdd089b150c898790e7a32fa20f88372b5cb\",0,\"lean_workbook_plus_77697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213139,
+      "path": "data/train/p56/oproofs-s00002-r00001492-n000004-0000-a2d83ebe7cfa3082.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a2d83ebe7cfa308295c4aaa2948055fb04e15ac920c6f356c152b23ef6433f1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001496-n000004.json b/manifests/batches/oproofs/s00002-r00001496-n000004.json
index b0eb41a6b96536e2d621fd79a487059d5c7f33a3..a36a059331476d7f1d30868c07e8b1d210dbfd3c 100644
--- a/manifests/batches/oproofs/s00002-r00001496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001496-n000004",
   "batch_fingerprint": "55783f619059893b393d664e13633a5b5bc5d4a53641cd7970f2869f308b2ee0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001496-n000004-0000-132e3b37887fd095.parquet",
-      "sha256": "132e3b37887fd095feb0e720384f1de8dcd2494a62e7729b72b160848df4be78",
-      "bytes": 92189,
-      "rows": 11,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001496-n000004-0000-1de643177f3a0e2c.parquet",
-      "sha256": "1de643177f3a0e2c4ea9318ef8b46c59820352db54bf31019a1487be6a779e9d",
-      "bytes": 40569,
-      "rows": 3,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1497",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001497.lean\",\"4032d240cc3596b7166fdb0d88c8912dc210aefa6747f9bd9c4132118bc9dd98\",0,\"lean_workbook_plus_58913\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001498.lean\",\"c549a1d9a250a393eef27eaff945628ecaa05e0bcd0ad735ea5b5494dc641f8e\",0,\"lean_workbook_plus_82663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001499.lean\",\"156b7f588176c11d6f6351a7c7031b46267be4f1df25735ecea1f0f07fd29e48\",0,\"arithmetic_geometric_sequence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92189,
+      "path": "data/train/p4c/oproofs-s00002-r00001496-n000004-0000-132e3b37887fd095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "132e3b37887fd095feb0e720384f1de8dcd2494a62e7729b72b160848df4be78"
+    },
+    {
+      "bytes": 40569,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00001496-n000004-0000-1de643177f3a0e2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1de643177f3a0e2c4ea9318ef8b46c59820352db54bf31019a1487be6a779e9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001500-n000004.json b/manifests/batches/oproofs/s00002-r00001500-n000004.json
index 1a3edd7792080a6547c4304ac47218d5ef872e19..ed10502911e7d2ced68aecd804bc851d87d0eeae 100644
--- a/manifests/batches/oproofs/s00002-r00001500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001500-n000004",
   "batch_fingerprint": "23bc242185d6d664fd9953d8bfd554f9623632cf8bac72cfe7d9404215f6dd77",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001500-n000004-0000-91951a105dbcbfa2.parquet",
-      "sha256": "91951a105dbcbfa2629d26297f9c39722381ed72554337ece7f9aa578433a9a8",
-      "bytes": 187391,
-      "rows": 24,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001501.lean\",\"259e2b25655d07e6120fe50fe82efa38af44678a22a92fc4d9a6675b90169a3d\",0,\"lean_workbook_plus_7873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001502.lean\",\"d74be1104c0741b2c97c01040c42d1129bcfb3a89544c13090199b86d3a43085\",0,\"EuclideanGeometry.Triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001503.lean\",\"f83f666d0e09f6afecb1c14b9f2525fb96ca920e6d0c8bd91a6ff1499c6fa0e9\",0,\"lean_workbook_31222\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187391,
+      "path": "data/train/p59/oproofs-s00002-r00001500-n000004-0000-91951a105dbcbfa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "91951a105dbcbfa2629d26297f9c39722381ed72554337ece7f9aa578433a9a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001504-n000004.json b/manifests/batches/oproofs/s00002-r00001504-n000004.json
index c1b3a4909418928f9b18b1fad27483891fafff51..2013769bf2f15dc55ead33c5939c684b6a9c42d0 100644
--- a/manifests/batches/oproofs/s00002-r00001504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001504-n000004",
   "batch_fingerprint": "64c62c52680e3c208f398e18b9c43885c4097a548f8ecf10dd54c65f0a777d4d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001504-n000004-0000-73b5f7de461b946c.parquet",
-      "sha256": "73b5f7de461b946cd54e86898c078c95c51b2938a1c195e246018a2cbd83ced7",
-      "bytes": 373093,
-      "rows": 19,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001505.lean\",\"32fec0f5e0cfc1f297c2d062c454c92d34efa29208d07bbcce456f92b38aad5e\",0,\"quadrilateral_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001506.lean\",\"481eb996859bf5195c011ca531b3dbe8edd6c8f3a1aa0bee147218ec98781cab\",0,\"lean_workbook_plus_30970\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001507.lean\",\"f84cc458d98d7c44a0e0a1659b79ddb24148af1046dc509621f36a041fd341ea\",0,\"lean_workbook_plus_26891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373093,
+      "path": "data/train/p62/oproofs-s00002-r00001504-n000004-0000-73b5f7de461b946c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "73b5f7de461b946cd54e86898c078c95c51b2938a1c195e246018a2cbd83ced7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001508-n000004.json b/manifests/batches/oproofs/s00002-r00001508-n000004.json
index fe51be3da9294ddad2ad1ae864777286793af5e2..4511d65782d4217fd41f0b2e7dfac0f5f94f88b7 100644
--- a/manifests/batches/oproofs/s00002-r00001508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001508-n000004",
   "batch_fingerprint": "6d31805d624114c0a87c2c77f20aa7ae62863ccc8ef1856107660bbb720c10d1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001508-n000004-0000-2dc68afae961b167.parquet",
-      "sha256": "2dc68afae961b16702be1f3352f4220c9342ec777d6fca8062182d4ccec144d3",
-      "bytes": 136600,
-      "rows": 16,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001509.lean\",\"7b93e7c7398fdd86a94409f7d76161ffd59abb800de9dcea0926a4af85fb33d4\",0,\"sec_csc_150_degrees\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001510.lean\",\"29a4814010d393ceedcd8cea61c7666cf4cb70cc0c95b2fd22a8f99c9f1444fd\",0,\"lean_workbook_plus_28922\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001511.lean\",\"aa4901f2f231a8a12b1df01378cf9e547dbcc7004195ec3e50b728ae06b735a2\",0,\"lean_workbook_plus_71186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136600,
+      "path": "data/train/p9a/oproofs-s00002-r00001508-n000004-0000-2dc68afae961b167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2dc68afae961b16702be1f3352f4220c9342ec777d6fca8062182d4ccec144d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001512-n000004.json b/manifests/batches/oproofs/s00002-r00001512-n000004.json
index e19cfa511e5953e5ad9897723d0f5de9a54074a7..ceed8a6f7c70b591354ca95b60a7beacb04979ae 100644
--- a/manifests/batches/oproofs/s00002-r00001512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001512-n000004",
   "batch_fingerprint": "ad1b04dc0d380f55c16c40d854859065126b478f5a59ab823decabc7fb1ad439",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001512-n000004-0000-6a639223c32c2639.parquet",
-      "sha256": "6a639223c32c26392640eb18be22244c7ea83b64cbef48f062ef803caea573e2",
-      "bytes": 783997,
-      "rows": 12,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001512-n000004-0000-7c39ba6d1e45924f.parquet",
-      "sha256": "7c39ba6d1e45924f543c6dae42678e68eb823960b9fae6b4b12110733dbf90a0",
-      "bytes": 55850,
-      "rows": 5,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001513.lean\",\"50dc490237fb5dffbf8e395bd050a9c023f667b5c1a7a4bfcc0babe073d83788\",0,\"lean_workbook_21441\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001514.lean\",\"a60edfdd76e048bd71d8c755d2c591cce621b893db991d96bba25fbb9405c460\",0,\"lean_workbook_plus_58228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001515.lean\",\"be5058c601e756235bed965ed5e7e0384cf03973620518e062f6c84ee7e40ea2\",0,\"lean_workbook_54536\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 783997,
+      "path": "data/train/p41/oproofs-s00002-r00001512-n000004-0000-6a639223c32c2639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6a639223c32c26392640eb18be22244c7ea83b64cbef48f062ef803caea573e2"
+    },
+    {
+      "bytes": 55850,
+      "path": "data/dev/p41/oproofs-s00002-r00001512-n000004-0000-7c39ba6d1e45924f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7c39ba6d1e45924f543c6dae42678e68eb823960b9fae6b4b12110733dbf90a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001516-n000004.json b/manifests/batches/oproofs/s00002-r00001516-n000004.json
index 207f2ace1ef50d16c52c05adf06e2b61dbc95fb8..087f487d615a1f6d937dfc17f6a314eccefe1be2 100644
--- a/manifests/batches/oproofs/s00002-r00001516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001516-n000004",
   "batch_fingerprint": "7c10319da1e8ae035a215cdc6ad3bba35702e1624532c78e7a4e97cbe0b15c47",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001516-n000004-0000-12482bfa4962bedb.parquet",
-      "sha256": "12482bfa4962bedb81d922a90bde59112abdc5c7e0ad7a97b9296bdb08548a28",
-      "bytes": 210029,
-      "rows": 13,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001517.lean\",\"2cafdfc81fd340202a7b547d97dd5bff621bf5c06ec1c0897bc37f1016af21df\",0,\"lean_workbook_plus_46142\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001518.lean\",\"ba3ac5369af4ab8417b5dedd8ed4aec6c4d3810e10e260ec60f91ae4db23234e\",0,\"lean_workbook_56536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001519.lean\",\"8f2148bdc0a803ec30cafadc931968ca367b8d566998f22dfe001d63cb05379c\",0,\"lean_workbook_34322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210029,
+      "path": "data/train/p09/oproofs-s00002-r00001516-n000004-0000-12482bfa4962bedb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "12482bfa4962bedb81d922a90bde59112abdc5c7e0ad7a97b9296bdb08548a28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001520-n000004.json b/manifests/batches/oproofs/s00002-r00001520-n000004.json
index 2e5c2e11a384f5fb32b5cbc27f20ac870189b081..e65cddb7f839fa82044fc7abf5fbb8702fe3e0c0 100644
--- a/manifests/batches/oproofs/s00002-r00001520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001520-n000004",
   "batch_fingerprint": "635882ef662353db9187c679318be2592e928d92580bcfa555ff6654470ad296",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001520-n000004-0000-b8106a079f81d9fc.parquet",
-      "sha256": "b8106a079f81d9fcdb558bc7fcd55623ba5d003aa406d98a59d32facf9fbcc97",
-      "bytes": 90866,
-      "rows": 11,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001520-n000004-0000-31b8d3d53aaae255.parquet",
-      "sha256": "31b8d3d53aaae255b10ee362c60e3404eb2cb490e80fc277124c78287526bbde",
-      "bytes": 247222,
-      "rows": 7,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001521.lean\",\"d24e306c4929b96f8e97913eaf9872d1f009e71f46e61c1c2be5bd37bb97bfbc\",0,\"lean_workbook_plus_24698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001522.lean\",\"83d4215590c3ac0e7b21b692a93379f3ce9b10f0a1c2fca3cacfbff1368a8b28\",0,\"lean_workbook_plus_54229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001523.lean\",\"ed64de781363043034d995df207d170c4bf94eb5a48ded77136173329322aa11\",0,\"lean_workbook_plus_49954\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90866,
+      "path": "data/train/pd8/oproofs-s00002-r00001520-n000004-0000-b8106a079f81d9fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b8106a079f81d9fcdb558bc7fcd55623ba5d003aa406d98a59d32facf9fbcc97"
+    },
+    {
+      "bytes": 247222,
+      "path": "data/internal_test/pd8/oproofs-s00002-r00001520-n000004-0000-31b8d3d53aaae255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "31b8d3d53aaae255b10ee362c60e3404eb2cb490e80fc277124c78287526bbde"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001524-n000004.json b/manifests/batches/oproofs/s00002-r00001524-n000004.json
index ef4a57aa6b930d2939c4c1b079fbf91c3c17a808..945f4019442126d15910dd278e8aa9ee3c6d3eff 100644
--- a/manifests/batches/oproofs/s00002-r00001524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001524-n000004",
   "batch_fingerprint": "44f5db11f0c6387242ff11ee838e41c21f94ed261cedbf473f4845b8226e50cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001524-n000004-0000-935a3efcc494087f.parquet",
-      "sha256": "935a3efcc494087fcf5ef7d7534703ffb36c3d6e025790358b951783035734ef",
-      "bytes": 1055373,
-      "rows": 26,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001525.lean\",\"d1906246f238ed4f1d30c786471491c8c33ff6480fa0bdc1d49b84dbdd1a5dd4\",0,\"function_monotonicity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001526.lean\",\"729441735d43b523c0c4a52dc139f9de007634773effe3201ac44d5f9c6f3c07\",0,\"cubic_equation_root_location\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001527.lean\",\"8f9f7ca639d408ea2b6808e324467fdc6ba3c670b562d95a93a3ecd6c73a992e\",0,\"min_value_polynomial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1055373,
+      "path": "data/train/pca/oproofs-s00002-r00001524-n000004-0000-935a3efcc494087f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "935a3efcc494087fcf5ef7d7534703ffb36c3d6e025790358b951783035734ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001528-n000004.json b/manifests/batches/oproofs/s00002-r00001528-n000004.json
index c051b1a112e411540a62e5be0e1346970d10b432..40dd3fccd3bf8f6440803aca2c609689066746b7 100644
--- a/manifests/batches/oproofs/s00002-r00001528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001528-n000004",
   "batch_fingerprint": "89a6e2285e5dbc94f4b5e3ac6081d8ff5d1d968ff7f0f24af3f4ea05ce285388",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001528-n000004-0000-f6bfe5394fd47f41.parquet",
-      "sha256": "f6bfe5394fd47f418ee76531952a5c37994761b8b408acec98baca4d3c996435",
-      "bytes": 346504,
-      "rows": 19,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001529.lean\",\"1907cb6e03d85aa7b342f6b994390687dfeca0c693ea3bbf2426da9fe6f313af\",0,\"lean_workbook_plus_48801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001530.lean\",\"3797e4723e4fd0e2316c1a2981a8ff5c4f4331c2139c47044eb610072febfd88\",0,\"lean_workbook_plus_1971\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001531.lean\",\"9291d6b6742bd567271d2528154194132a9a4807cfe34ddecf510feede8c2502\",0,\"lean_workbook_plus_70033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346504,
+      "path": "data/train/p59/oproofs-s00002-r00001528-n000004-0000-f6bfe5394fd47f41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f6bfe5394fd47f418ee76531952a5c37994761b8b408acec98baca4d3c996435"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001532-n000004.json b/manifests/batches/oproofs/s00002-r00001532-n000004.json
index 69ae80c2b446d9a70a0bade3f99443a64589f48f..0e7d57bcd3220457543e9769e6112a8a02463a52 100644
--- a/manifests/batches/oproofs/s00002-r00001532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001532-n000004",
   "batch_fingerprint": "fccd7ac01e9ba4ccd62eddcbe9067ed7649487847304a8b39917f80b0a65a09a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001532-n000004-0000-ae150043cb9ee307.parquet",
-      "sha256": "ae150043cb9ee3074d4a4379be65cdeaf9d2b8e8004809b6fde7f08c89bba5d7",
-      "bytes": 381206,
-      "rows": 15,
-      "revision": "e785e02bccabefbe984b86a96206097fc4643a29"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001533.lean\",\"2558d2957cdeaaba0724d651eca4209500de3329df7b218683abb2f40789a4ce\",0,\"lean_workbook_plus_63509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001534.lean\",\"881204a91161a9c8bdeaa954c9972b9218ab0e097efa295a5a6950c08fce6800\",0,\"lean_workbook_plus_61516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001535.lean\",\"840d6b511508edacd6c9765127be4cec6fb14da5125b48be1374752578bc8bbd\",0,\"lean_workbook_plus_69848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381206,
+      "path": "data/train/ped/oproofs-s00002-r00001532-n000004-0000-ae150043cb9ee307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ae150043cb9ee3074d4a4379be65cdeaf9d2b8e8004809b6fde7f08c89bba5d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001536-n000004.json b/manifests/batches/oproofs/s00002-r00001536-n000004.json
index 66a3ea20722c4c2fb2fbd5eba18e4ce85f0551f3..ef49a19e73a10cb86dd42c7a8d875756c0441c53 100644
--- a/manifests/batches/oproofs/s00002-r00001536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001536-n000004",
   "batch_fingerprint": "7fd5cd0064afd19fc2b40dfcab42b6ddc775206b1d942c9c3b3a6032bd8b0c85",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001536-n000004-0000-496a3e866b066d62.parquet",
-      "sha256": "496a3e866b066d622ea30f3c9f49f5e9eb55902493222ec4d8c0bfb5a82811a8",
-      "bytes": 867898,
-      "rows": 15,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001536-n000004-0001-d3f378cf8dad6f1e.parquet",
-      "sha256": "d3f378cf8dad6f1e0bf507538d7809c17ddb5c128d847ace6fe1d43ffe483ead",
-      "bytes": 93899,
-      "rows": 7,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001537.lean\",\"76e867856ed7978f709bd8127e55c7d758bf716446bddc3a489230f5b4c8da00\",0,\"Real.sinAReal.cosB\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001538.lean\",\"393c3a656050618f8bef4716145f3e09e0d9c4a29a62ef3015a6c504848248cc\",0,\"lean_workbook_plus_18707\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001539.lean\",\"2fce954476aa7f793941bbd66f5e55ab94fb7625374a5985caaf5918ef4acf8e\",0,\"lean_workbook_plus_64456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 867898,
+      "path": "data/train/p40/oproofs-s00002-r00001536-n000004-0000-496a3e866b066d62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "496a3e866b066d622ea30f3c9f49f5e9eb55902493222ec4d8c0bfb5a82811a8"
+    },
+    {
+      "bytes": 93899,
+      "path": "data/train/p40/oproofs-s00002-r00001536-n000004-0001-d3f378cf8dad6f1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d3f378cf8dad6f1e0bf507538d7809c17ddb5c128d847ace6fe1d43ffe483ead"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001540-n000004.json b/manifests/batches/oproofs/s00002-r00001540-n000004.json
index 3bd8511a9edb2be816df134d5cea04490de64a3c..7724eff9b9df21e71a9ef55c9fe01f88629b59bb 100644
--- a/manifests/batches/oproofs/s00002-r00001540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001540-n000004",
   "batch_fingerprint": "90ee7196cf525fb1a0430e311de6ee73a3fcc69fae8308dc6e75cce723869757",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001540-n000004-0000-40af99e49ae63461.parquet",
-      "sha256": "40af99e49ae63461ce06991b3ca745dee38390b2eb1dac803ce26e8b4da3b854",
-      "bytes": 650901,
-      "rows": 34,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001541.lean\",\"946a4abfe01a82229629029b6b2c244a9bca9c5ddc082870ea5f64aa48ad69f9\",0,\"lean_workbook_plus_80022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001542.lean\",\"994db535093289a1131d6ea916ed706a3e5257668b30f7953d9e76d8b4e302e4\",0,\"intersection_chord_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001543.lean\",\"c0df7e947ed2b4ce141e826956c32fa7bdbc68fb80ee4b20f7ec18c88899d560\",0,\"lean_workbook_plus_49331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 650901,
+      "path": "data/train/p7e/oproofs-s00002-r00001540-n000004-0000-40af99e49ae63461.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "40af99e49ae63461ce06991b3ca745dee38390b2eb1dac803ce26e8b4da3b854"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001544-n000004.json b/manifests/batches/oproofs/s00002-r00001544-n000004.json
index e3502be708b3cfb1e8e08a0a2006b7b27c460d2b..0a26f895c02b485b2f4c6a99375bea3b79ee3da7 100644
--- a/manifests/batches/oproofs/s00002-r00001544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001544-n000004",
   "batch_fingerprint": "adfa09babcadd3a2ef19ca8b3d3e8f63f6d732977495df0e053e983031d9e02e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001544-n000004-0000-00897e70527622ee.parquet",
-      "sha256": "00897e70527622ee1c31714f655385f9fca9dd8f6120b8bacd563bf51fe5ab6a",
-      "bytes": 317951,
-      "rows": 16,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001544-n000004-0000-538890ee062d7b0b.parquet",
-      "sha256": "538890ee062d7b0bc2340b009abf69bdde307188c5e37ddfa291953b7a334146",
-      "bytes": 82442,
-      "rows": 5,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001545.lean\",\"8338ab32b47f02648cfa75dd5fa343b82fd741abc86dc23573510c6217e874ef\",0,\"lean_workbook_3197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001546.lean\",\"348a6b0e2178b62dd31acfcb6fd7794a28eb9358d680c4307e5d34f72076fd7f\",0,\"lean_workbook_plus_16411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001547.lean\",\"d4873d806df44222e4c81818fc70efe4b2431e33600833bc9941e7a59da50a2f\",0,\"lean_workbook_plus_75124\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317951,
+      "path": "data/train/p24/oproofs-s00002-r00001544-n000004-0000-00897e70527622ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "00897e70527622ee1c31714f655385f9fca9dd8f6120b8bacd563bf51fe5ab6a"
+    },
+    {
+      "bytes": 82442,
+      "path": "data/internal_test/p24/oproofs-s00002-r00001544-n000004-0000-538890ee062d7b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "538890ee062d7b0bc2340b009abf69bdde307188c5e37ddfa291953b7a334146"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001548-n000004.json b/manifests/batches/oproofs/s00002-r00001548-n000004.json
index afb8af8a124b4948369dd68803aa968cbc6289d2..ad10ea20c72ae4ebc69a282c2b8716fc7fb68871 100644
--- a/manifests/batches/oproofs/s00002-r00001548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001548-n000004",
   "batch_fingerprint": "774c5f65a11d7e5dbce69601dc3be70a6fdbe79af5d7886402b1c347425b1243",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001548-n000004-0000-519bafe07cbc452b.parquet",
-      "sha256": "519bafe07cbc452bb20869b3a0b781e5d448ecdb2abaeed3547b9955eb722e1b",
-      "bytes": 551429,
-      "rows": 18,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001549.lean\",\"b04d6e182fdcbe3b9e7bc6b9a9d30fc2086579ae41fb7b9a0c152857159d2a41\",0,\"lean_workbook_plus_51424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001550.lean\",\"0eefe91ebca839a6a29ec45231d59d328a17876a659506134a428e4823fa4fff\",0,\"lean_workbook_plus_4857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001551.lean\",\"c68b69a0fe67c1a849eedba2fad79501603b7bd1efd7d14ab15913f19d0d54ac\",0,\"lean_workbook_plus_45151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 551429,
+      "path": "data/train/p89/oproofs-s00002-r00001548-n000004-0000-519bafe07cbc452b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "519bafe07cbc452bb20869b3a0b781e5d448ecdb2abaeed3547b9955eb722e1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001552-n000004.json b/manifests/batches/oproofs/s00002-r00001552-n000004.json
index bd5602e864847b65d3561bdfea753a35da58ec2a..83db53a25a30f62f2f9ec90e5cce45792f40e63e 100644
--- a/manifests/batches/oproofs/s00002-r00001552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001552-n000004",
   "batch_fingerprint": "616e7a7d8adc41640a2dae1a5fff8b14e0287fcdab3b6a28302575bfb05d142a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1552",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1553",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1554",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1555"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001552.lean\",\"a6a37c2947998b0e44e8f5ee7cd74a4382cdd3d96286259a434c07ba5ec98dcb\",0,\"lean_workbook_47399\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001553.lean\",\"810ae061d9ca8d3899cdea62e1d7e168c7e0a10af859f8aa4c247ee2c6fbfc81\",0,\"lean_workbook_plus_60024\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001554.lean\",\"8552d77bcf6713d0509896b378f2b6a312abb85d36080399cebc8cab1ceb6508\",0,\"lean_workbook_plus_73400\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001555.lean\",\"99a2d3b1ebfb62746f79397d962554309328a9b169df1bf6ae0e4a64eff0f512\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001552-n000004-0000-7f2572d4e57e6f50.parquet",
-      "sha256": "7f2572d4e57e6f50bf4d96c07d63011a65dbaf1f906e11424a25b90fcc01e8e1",
       "bytes": 265989,
+      "path": "data/train/p6e/oproofs-s00002-r00001552-n000004-0000-7f2572d4e57e6f50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "7f2572d4e57e6f50bf4d96c07d63011a65dbaf1f906e11424a25b90fcc01e8e1"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001552-n000004-0001-4ba6ddb67fdf106d.parquet",
-      "sha256": "4ba6ddb67fdf106d3e3730f5498cc27ddf04f8a2bf3a9fd4673bd746fff05f3b",
       "bytes": 791514,
+      "path": "data/train/p6e/oproofs-s00002-r00001552-n000004-0001-4ba6ddb67fdf106d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "4ba6ddb67fdf106d3e3730f5498cc27ddf04f8a2bf3a9fd4673bd746fff05f3b"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001552-n000004-0002-c197480ed561e4f8.parquet",
-      "sha256": "c197480ed561e4f8296d616bf25e6d7a8cd9a60402d74ffe96a259f3be104523",
       "bytes": 319037,
+      "path": "data/train/p6e/oproofs-s00002-r00001552-n000004-0002-c197480ed561e4f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "c197480ed561e4f8296d616bf25e6d7a8cd9a60402d74ffe96a259f3be104523"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1552",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1553",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1554",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1555"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001552.lean\",\"a6a37c2947998b0e44e8f5ee7cd74a4382cdd3d96286259a434c07ba5ec98dcb\",0,\"lean_workbook_47399\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001553.lean\",\"810ae061d9ca8d3899cdea62e1d7e168c7e0a10af859f8aa4c247ee2c6fbfc81\",0,\"lean_workbook_plus_60024\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001554.lean\",\"8552d77bcf6713d0509896b378f2b6a312abb85d36080399cebc8cab1ceb6508\",0,\"lean_workbook_plus_73400\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001555.lean\",\"99a2d3b1ebfb62746f79397d962554309328a9b169df1bf6ae0e4a64eff0f512\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001556-n000004.json b/manifests/batches/oproofs/s00002-r00001556-n000004.json
index 2c82e4a3558e34139e87eafa627b6617e7010255..03a361f300a8ba1ce7fff1aefdc75dabaf82bd96 100644
--- a/manifests/batches/oproofs/s00002-r00001556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001556-n000004",
   "batch_fingerprint": "3e55157fc624e03cc970f2da17e81143049933dc6cd85f26abc9bacc35f92b9d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001556-n000004-0000-bb950387a3f14453.parquet",
-      "sha256": "bb950387a3f144538996c68533d198ff262555f8258df066c5e7527211d72f59",
-      "bytes": 695702,
-      "rows": 18,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001556-n000004-0000-15d656a8c27e7a29.parquet",
-      "sha256": "15d656a8c27e7a29cf269247f6cd953e11f7672e3868c99e8847278db0e8bc5b",
-      "bytes": 55906,
-      "rows": 4,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001557.lean\",\"1d1fcb1dee92690a699cdf04b23f6b68c41a853476b1b9f94440491db31dbde7\",0,\"normal_hgroup\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001558.lean\",\"625b2ffef50d8d451f8c6f0a1a33a6c97583dc1efc0cdae3d3cab008817cb922\",0,\"first\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001559.lean\",\"6e84bb909833bab9493ab0e7ede89089abf03a2ea6fc0ba7bff92c49799d90b8\",0,\"i\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 695702,
+      "path": "data/train/p94/oproofs-s00002-r00001556-n000004-0000-bb950387a3f14453.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "bb950387a3f144538996c68533d198ff262555f8258df066c5e7527211d72f59"
+    },
+    {
+      "bytes": 55906,
+      "path": "data/dev/p94/oproofs-s00002-r00001556-n000004-0000-15d656a8c27e7a29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "15d656a8c27e7a29cf269247f6cd953e11f7672e3868c99e8847278db0e8bc5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001560-n000004.json b/manifests/batches/oproofs/s00002-r00001560-n000004.json
index f5918dbe8d361605ac9c6176e6e9d0a12cf2b281..9119d9469f4dd5e26f8660075f4eee41cdb2059d 100644
--- a/manifests/batches/oproofs/s00002-r00001560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001560-n000004",
   "batch_fingerprint": "9be705c1caebec22de059d339818462a371f72a4d1c73d4be96b3f08b2c0ee41",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1560",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1561",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1562",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1563"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001560.lean\",\"6af2adb48c73faf23db17e29281079727349589dc9e3228fc9c37a70067814c8\",0,\"number_theory_482314\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001561.lean\",\"1dfcfa6bc256a97821dc9a79aa7aaccb76c26ca23a24245fd408e91106e2b796\",0,\"number_theory_91607\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001562.lean\",\"1e2571d541b67eb2063633d71e482d795697f265f7f4232773eea8edb8c48b43\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001563.lean\",\"81dbe5ba2350396f50214dbc67350a8e1c4daabefce9ca334412e0d8da25ea9d\",0,\"solution_set\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001560-n000004-0000-21a649dfa5196895.parquet",
-      "sha256": "21a649dfa51968957a88089fda3de1adcf49541a0d0d5b387e22fa7554938360",
       "bytes": 772070,
+      "path": "data/train/pac/oproofs-s00002-r00001560-n000004-0000-21a649dfa5196895.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "21a649dfa51968957a88089fda3de1adcf49541a0d0d5b387e22fa7554938360"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001560-n000004-0001-cf5077bc766de1f4.parquet",
-      "sha256": "cf5077bc766de1f42660055763e9788b37c10cd6501a51acbb61ddf1a16aeb7b",
       "bytes": 176033,
+      "path": "data/train/pac/oproofs-s00002-r00001560-n000004-0001-cf5077bc766de1f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "cf5077bc766de1f42660055763e9788b37c10cd6501a51acbb61ddf1a16aeb7b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001560-n000004-0000-76a0d851e8eb5554.parquet",
-      "sha256": "76a0d851e8eb5554f7e739d948c1c63f25ef7efc2d5d40934561a47feb213d77",
       "bytes": 80363,
+      "path": "data/internal_test/pac/oproofs-s00002-r00001560-n000004-0000-76a0d851e8eb5554.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "76a0d851e8eb5554f7e739d948c1c63f25ef7efc2d5d40934561a47feb213d77"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1560",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1561",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1562",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1563"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001560.lean\",\"6af2adb48c73faf23db17e29281079727349589dc9e3228fc9c37a70067814c8\",0,\"number_theory_482314\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001561.lean\",\"1dfcfa6bc256a97821dc9a79aa7aaccb76c26ca23a24245fd408e91106e2b796\",0,\"number_theory_91607\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001562.lean\",\"1e2571d541b67eb2063633d71e482d795697f265f7f4232773eea8edb8c48b43\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001563.lean\",\"81dbe5ba2350396f50214dbc67350a8e1c4daabefce9ca334412e0d8da25ea9d\",0,\"solution_set\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001564-n000004.json b/manifests/batches/oproofs/s00002-r00001564-n000004.json
index 9ace808ff4e83e85377c04b9bb0478cf853a7338..b2b970c032349a036880358348565dd51ffe08ad 100644
--- a/manifests/batches/oproofs/s00002-r00001564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001564-n000004",
   "batch_fingerprint": "e833a7b3e0fa695e80ab85a9b029e3035c3655da1003f237427a2550565bb1c1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001564-n000004-0000-9ed7f36227ed8a37.parquet",
-      "sha256": "9ed7f36227ed8a379edd364619890572beb64eda5674528b13090b5be7be3db1",
-      "bytes": 310663,
-      "rows": 17,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001564-n000004-0000-122affd290374afa.parquet",
-      "sha256": "122affd290374afacb1e448644aede38268d92b16345c3d80274d19687199b37",
-      "bytes": 106056,
-      "rows": 4,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001565.lean\",\"2174572add9552fa2afed013465e2ed93b345ded70a02dc05634038e235bc426\",0,\"Real.floor_eq_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001566.lean\",\"53cdd0dfdd30d1b50427eaf30d89d684f0370bb0fb92db3b7c0b741c0364e2c9\",0,\"lean_workbook_plus_41697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001567.lean\",\"7bccdfbf94e1215f26c39fa6b809e931c6883e3c35cb4a2041d5ae8bf45874a4\",0,\"lean_workbook_plus_39964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310663,
+      "path": "data/train/pe1/oproofs-s00002-r00001564-n000004-0000-9ed7f36227ed8a37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9ed7f36227ed8a379edd364619890572beb64eda5674528b13090b5be7be3db1"
+    },
+    {
+      "bytes": 106056,
+      "path": "data/dev/pe1/oproofs-s00002-r00001564-n000004-0000-122affd290374afa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "122affd290374afacb1e448644aede38268d92b16345c3d80274d19687199b37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001568-n000004.json b/manifests/batches/oproofs/s00002-r00001568-n000004.json
index 0e340724db89e26ed39025ed4947da73f3c525b9..cdbb7fcfae90df87540c12dfcf61c742622f419c 100644
--- a/manifests/batches/oproofs/s00002-r00001568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001568-n000004",
   "batch_fingerprint": "bd8c6e1ce1d6826f5666f96ede00034017c91cffe71f4eae93bfc1ac15913004",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1568",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1569",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1570",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1571"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001568.lean\",\"ff6a346afaa1851a330db3a6bfd3ed126c13524e78685f7aab53ce870694feae\",0,\"lean_workbook_plus_77697\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001569.lean\",\"7cea4e261c28b370227cbba515525ca7e3affeef3f876cc6015ea020251f87f2\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001570.lean\",\"4c57502845d170d7b4fd5896fc0854c22e0df400f8302bc2b543a928bef6f1db\",0,\"tan140\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001571.lean\",\"4ae601bf4a2d23f7ed6ff1fef8e07b157be3b1c3839c14b3b6da144cf1ee7dcd\",0,\"lean_workbook_plus_44883\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001568-n000004-0000-31cbfcb897301b2b.parquet",
-      "sha256": "31cbfcb897301b2b910de18232ddf9d067dd85566c214626d49e5903a986dd73",
       "bytes": 230014,
+      "path": "data/train/p3c/oproofs-s00002-r00001568-n000004-0000-31cbfcb897301b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "31cbfcb897301b2b910de18232ddf9d067dd85566c214626d49e5903a986dd73"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001568-n000004-0001-4a071dadea3bcaf0.parquet",
-      "sha256": "4a071dadea3bcaf0d6810271404636fdeec33478a85ae156cb13c39353b79f77",
       "bytes": 2294346,
+      "path": "data/train/p3c/oproofs-s00002-r00001568-n000004-0001-4a071dadea3bcaf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "4a071dadea3bcaf0d6810271404636fdeec33478a85ae156cb13c39353b79f77"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001568-n000004-0002-26bc8d7e2c28606d.parquet",
-      "sha256": "26bc8d7e2c28606d7dea0699d2ab800344210d41f7e5b203144cf253e1e06473",
       "bytes": 536899,
+      "path": "data/train/p3c/oproofs-s00002-r00001568-n000004-0002-26bc8d7e2c28606d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
+      "sha256": "26bc8d7e2c28606d7dea0699d2ab800344210d41f7e5b203144cf253e1e06473"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1568",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1569",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1570",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1571"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001568.lean\",\"ff6a346afaa1851a330db3a6bfd3ed126c13524e78685f7aab53ce870694feae\",0,\"lean_workbook_plus_77697\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001569.lean\",\"7cea4e261c28b370227cbba515525ca7e3affeef3f876cc6015ea020251f87f2\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001570.lean\",\"4c57502845d170d7b4fd5896fc0854c22e0df400f8302bc2b543a928bef6f1db\",0,\"tan140\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001571.lean\",\"4ae601bf4a2d23f7ed6ff1fef8e07b157be3b1c3839c14b3b6da144cf1ee7dcd\",0,\"lean_workbook_plus_44883\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001572-n000004.json b/manifests/batches/oproofs/s00002-r00001572-n000004.json
index f4fc619bb80c55723fc8e19c3281ceac79dc0883..6e4d81d6a3998744e79601cf02425df9e1fed927 100644
--- a/manifests/batches/oproofs/s00002-r00001572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001572-n000004",
   "batch_fingerprint": "b28ab166859044dc975941aa815a857a3c5c42ccfb0d1476e37789b9710ba967",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001572-n000004-0000-952e0a8b201f81b1.parquet",
-      "sha256": "952e0a8b201f81b1449acf5d19c181ea185ccbede28895111f319aa44651b638",
-      "bytes": 121814,
-      "rows": 13,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001572-n000004-0000-d2264c959a274e95.parquet",
-      "sha256": "d2264c959a274e95fd4b5cf7c72571d9e20a1eabb65a3d10d13909ae0c4025eb",
-      "bytes": 41752,
-      "rows": 3,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1573",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001573.lean\",\"fad44a4bb97b7909a94bc86ab4301c5612418098a444e3644ad08a6459ac848d\",0,\"lean_workbook_plus_58913\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001574.lean\",\"100a70fc8aa75168f5399c843f47091312e68a733808c6eae87af11d0263a7c0\",0,\"lean_workbook_plus_82663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001575.lean\",\"d9c8d05e4261fe6b8a0b87007fdb54c161861cf1240ee1665fe4d8fba25abe29\",0,\"arithmetic_geometric_sequence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121814,
+      "path": "data/train/pc1/oproofs-s00002-r00001572-n000004-0000-952e0a8b201f81b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "952e0a8b201f81b1449acf5d19c181ea185ccbede28895111f319aa44651b638"
+    },
+    {
+      "bytes": 41752,
+      "path": "data/internal_test/pc1/oproofs-s00002-r00001572-n000004-0000-d2264c959a274e95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d2264c959a274e95fd4b5cf7c72571d9e20a1eabb65a3d10d13909ae0c4025eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001576-n000004.json b/manifests/batches/oproofs/s00002-r00001576-n000004.json
index 2b84d2f7e4787a24bec888ee9e7c7d1645c152dd..e511dec1eee8c5b162ccb168a6d25673c1c09e15 100644
--- a/manifests/batches/oproofs/s00002-r00001576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001576-n000004",
   "batch_fingerprint": "393e2a16b1c5e4dd7b51794d95eb24dfbf74919a89b72fdc5f1c279e5464900c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001576-n000004-0000-2a4a20dc668e485c.parquet",
-      "sha256": "2a4a20dc668e485cb886228024d02e56564fd404645a974a0e0a683bbd816703",
-      "bytes": 210003,
-      "rows": 16,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001577.lean\",\"065e21bb67bae79607ee79a03765cf869f6b9d8f2189f4a5f1f680cfdcccfe35\",0,\"lean_workbook_plus_7873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001578.lean\",\"0a4a2fad09b949ebb1398272f40e365b8c469c18b85c499ef347d826a16ef9a9\",0,\"lean_workbook_31222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001579.lean\",\"55c90e0a17b3485f0af4dc3a02e6b7b83bdb94cf65bd1763c4199eb5f229c3ea\",0,\"lean_workbook_plus_14331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210003,
+      "path": "data/train/p40/oproofs-s00002-r00001576-n000004-0000-2a4a20dc668e485c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2a4a20dc668e485cb886228024d02e56564fd404645a974a0e0a683bbd816703"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001580-n000004.json b/manifests/batches/oproofs/s00002-r00001580-n000004.json
index 3e0437b04120708b1167ab14fbfc928bc8c96b2b..6c55084fe696d35d6e74b1ffb9ef7736da442a5c 100644
--- a/manifests/batches/oproofs/s00002-r00001580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001580-n000004",
   "batch_fingerprint": "324fda76b2d167da78c3883842ca0c6beca77eafa1b1224d454b137f313d69c7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001580-n000004-0000-808cc0a3209a56bb.parquet",
-      "sha256": "808cc0a3209a56bbbec036ae6acaca8e1b99d85574a0532a2c0bcc2fa279e10b",
-      "bytes": 227173,
-      "rows": 15,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1581",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001581.lean\",\"ab77761bef9cf06291161f0e66b1017ec2043e95a4b5866d081efe637a450f07\",0,\"set_intersection_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001582.lean\",\"d177db40a9a49d50776cbc39fcfecfcc5558de0736d1b923fe39bf0b98fdf5dd\",0,\"lean_workbook_plus_52358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001583.lean\",\"d1b31de7c54bdb4586a9df917fd02775ec1fe850b6fad56be72d6ff317ea7d81\",0,\"lean_workbook_plus_30970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227173,
+      "path": "data/train/pb0/oproofs-s00002-r00001580-n000004-0000-808cc0a3209a56bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "808cc0a3209a56bbbec036ae6acaca8e1b99d85574a0532a2c0bcc2fa279e10b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001584-n000004.json b/manifests/batches/oproofs/s00002-r00001584-n000004.json
index 0e8a265b3f53b6e44ee96eaef909423e3cdd4eac..1cc381820e57bf550efa898907726244bbef04a8 100644
--- a/manifests/batches/oproofs/s00002-r00001584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001584-n000004",
   "batch_fingerprint": "4d1cb47b5b05646018d534eb9adf7b219240a61fbf5adc90e637f8f3fa694818",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001584-n000004-0000-abb19fcc301daf5a.parquet",
-      "sha256": "abb19fcc301daf5ab2e467c25db70b158118a9df2454858d7a6234885a1be630",
-      "bytes": 447055,
-      "rows": 23,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001585.lean\",\"2bb0e6373c7a127808e7b6f5598b0cf5e3398f847b08c9228cc51a7e31b16bed\",0,\"lean_workbook_plus_26891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001586.lean\",\"f950347a8e7549be6f790338a5a8bab73093eca56d2c02674d526e6dc276cea2\",0,\"EuclideanGeometry.Triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001587.lean\",\"ee011125ebc03d308fca3edd913cced0336ed608aaeaf24afbba9888ad585ad8\",0,\"lean_workbook_39125\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 447055,
+      "path": "data/train/pef/oproofs-s00002-r00001584-n000004-0000-abb19fcc301daf5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "abb19fcc301daf5ab2e467c25db70b158118a9df2454858d7a6234885a1be630"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001588-n000004.json b/manifests/batches/oproofs/s00002-r00001588-n000004.json
index bda17aff09b181e858b859a8473cb9778bb5b9cc..0ec1d305eacebb1645db45f9c578619d8a6650a6 100644
--- a/manifests/batches/oproofs/s00002-r00001588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001588-n000004",
   "batch_fingerprint": "d5638e9dd2a8df730b66f6b30849e10bb5dc03c950af15e74cf4c1c69ba0894d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001588-n000004-0000-3a92f18d56c32b46.parquet",
-      "sha256": "3a92f18d56c32b46430a3a5b417ae8f92ba98c551dfd6c9ff475c0ec393c43e0",
-      "bytes": 177626,
-      "rows": 20,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001589.lean\",\"7e951eb2e8a7b945e94b0fa31c86e559d197786fa84c4d97906f05f1c5373224\",0,\"sec_csc_150_degrees\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001590.lean\",\"d2a3ddbd964f0450cfca39d53ad4811158bc0b2c6390b206f152984e56803b33\",0,\"lean_workbook_plus_28922\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001591.lean\",\"d1fff6d454cfea2ffc557ce028d02df79ab4ce1458df4f9a1b8e84de0c43bd29\",0,\"lean_workbook_plus_71186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177626,
+      "path": "data/train/p6e/oproofs-s00002-r00001588-n000004-0000-3a92f18d56c32b46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3a92f18d56c32b46430a3a5b417ae8f92ba98c551dfd6c9ff475c0ec393c43e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001592-n000004.json b/manifests/batches/oproofs/s00002-r00001592-n000004.json
index 04d1bbcc7258495cbecd978e48284974e9d7c7ce..5b4c414808f3343aa8909d8982ea7a12d52b1fe6 100644
--- a/manifests/batches/oproofs/s00002-r00001592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001592-n000004",
   "batch_fingerprint": "b049cb6bafabef65a4e67ee02d06b34509d02e60d2092d307da0d098312419b0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001592-n000004-0000-4354193c034db9ac.parquet",
-      "sha256": "4354193c034db9acb586ce43b57988275633241f66db436a6acd46c3b776e81b",
-      "bytes": 143043,
-      "rows": 17,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001593.lean\",\"f5b08c3a21eb26a8863b00dcfb35ddb6c385eb9cfa013401e780ad89010e2545\",0,\"lean_workbook_plus_36866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001594.lean\",\"8ccee0630ba148641a9bd1eb1bf9042193a4714437ee6c9ee48bd3cb2be099ee\",0,\"lean_workbook_plus_58228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001595.lean\",\"d75e1b956e97773d450f8ca15ac083229e6f579b995d428cc158e4f9ef94c8d6\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143043,
+      "path": "data/train/p8f/oproofs-s00002-r00001592-n000004-0000-4354193c034db9ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4354193c034db9acb586ce43b57988275633241f66db436a6acd46c3b776e81b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001596-n000004.json b/manifests/batches/oproofs/s00002-r00001596-n000004.json
index 1c9c543ac7070dcaf3c0e86979562def4bebb7ab..a656e7370d72cea312e8e8884ff85717c8de3f72 100644
--- a/manifests/batches/oproofs/s00002-r00001596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001596-n000004",
   "batch_fingerprint": "b949a8652910c354cad91e9923f858100928b29915fcac349a82c6bc37b5c7b4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001596-n000004-0000-a5a5707cb944a9f9.parquet",
-      "sha256": "a5a5707cb944a9f9f8d63f63242c02f185d00f25b1e03f07c6031cfbcb963cd5",
-      "bytes": 248843,
-      "rows": 12,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001596-n000004-0000-7ed1d5c5cc188012.parquet",
-      "sha256": "7ed1d5c5cc1880128fc0cfc31309a7cf9b0f3c4ec7ee339a6327772f6ae5c600",
-      "bytes": 77877,
-      "rows": 8,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1597",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001597.lean\",\"b30462310cacd27cb88f600675ae4ee9653173d78e1a1705c0bd506326d7ee18\",0,\"lean_workbook_54536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001598.lean\",\"23c9f951585f2e28396b8130c6a80f9d24d27b1e8d8f2cc05d29d37122631231\",0,\"lean_workbook_plus_46142\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001599.lean\",\"d9ce7d3d86a3e0d416c9754058c30a43c16f3c11525aceff6f9bbe90197bca2f\",0,\"lean_workbook_34322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248843,
+      "path": "data/train/pd1/oproofs-s00002-r00001596-n000004-0000-a5a5707cb944a9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a5a5707cb944a9f9f8d63f63242c02f185d00f25b1e03f07c6031cfbcb963cd5"
+    },
+    {
+      "bytes": 77877,
+      "path": "data/dev/pd1/oproofs-s00002-r00001596-n000004-0000-7ed1d5c5cc188012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7ed1d5c5cc1880128fc0cfc31309a7cf9b0f3c4ec7ee339a6327772f6ae5c600"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001600-n000004.json b/manifests/batches/oproofs/s00002-r00001600-n000004.json
index 8eaf056d8b080323dacfb11e10f1fc1a048bba6f..d3cc5208a5769e9e5b26f2180489ea4b1056b517 100644
--- a/manifests/batches/oproofs/s00002-r00001600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001600-n000004",
   "batch_fingerprint": "bc3067f7705f870ac713052338cc9541bcf294ca469e35b55ba0919dfb279812",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001600-n000004-0000-d1b8ba66290926ce.parquet",
-      "sha256": "d1b8ba66290926ce62426d9e75e578bc3828736788a1630d0c12859ab5274330",
-      "bytes": 253109,
-      "rows": 18,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001601.lean\",\"9e9fbfc1f4053fd48771738ad51865071c8c45ed60afd2703f3dcf23f16cbeea\",0,\"lean_workbook_plus_29960\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001602.lean\",\"97d886c00cdd78844b1835d0a13f9a0585b6d8e57f2825b2e98e03a488166415\",0,\"lean_workbook_plus_27646\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001603.lean\",\"46ba9956842cd02ac16e000757f8c0759a5156c34c14ff37c827acf8cdb7986e\",0,\"x_in_interval_one_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253109,
+      "path": "data/train/pcc/oproofs-s00002-r00001600-n000004-0000-d1b8ba66290926ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d1b8ba66290926ce62426d9e75e578bc3828736788a1630d0c12859ab5274330"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001604-n000004.json b/manifests/batches/oproofs/s00002-r00001604-n000004.json
index 7e183e102c23784d9466c568f5129e97a81566d9..da67c4abeaafb87cc37be24af15f512498c23cdd 100644
--- a/manifests/batches/oproofs/s00002-r00001604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001604-n000004",
   "batch_fingerprint": "f577911de5f84613226497ae504cec44f01f9dafda2432234c3b812ab426778d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001604-n000004-0000-c306189adc800adf.parquet",
-      "sha256": "c306189adc800adff907f574718619fb380d21d8f0a10a9a71fc0731a1ffbaaf",
-      "bytes": 206760,
-      "rows": 14,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001605.lean\",\"57e581824b1aac5a96511b7c9582933e54af7ba5f0d2e873141a1b1b297ab6d9\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001606.lean\",\"3cb10082472977fb6b209c3d1ec44b44ec65d5dbde1c424c792a98320339b3cd\",0,\"lean_workbook_plus_54229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001607.lean\",\"5bd1743658a17b87cfc80fa400d5c56d7b18895a66a0b3141398d3c36adef021\",0,\"lean_workbook_plus_43906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206760,
+      "path": "data/train/p5b/oproofs-s00002-r00001604-n000004-0000-c306189adc800adf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c306189adc800adff907f574718619fb380d21d8f0a10a9a71fc0731a1ffbaaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001608-n000004.json b/manifests/batches/oproofs/s00002-r00001608-n000004.json
index 686359ff1fe2b37a61365f29d90cfb1fa0fd8a27..e0111a0a2ac4010e29989de1f57fba66e35230df 100644
--- a/manifests/batches/oproofs/s00002-r00001608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001608-n000004",
   "batch_fingerprint": "cea9e076dbb851fed7062253bd95e3e5823a084cf4b93d8e3fc03b637eda000b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001608-n000004-0000-044a83914fb37608.parquet",
-      "sha256": "044a83914fb376081db67d266c8ff1d896657e0d430d64734ab60ffc5110bc51",
-      "bytes": 358236,
-      "rows": 16,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001609.lean\",\"efb7b9b64abd8f8aaffa0c59ab7d389fe18fe6953bd3c9847bc0fa651e551d19\",0,\"cubic_equation_root_location\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001610.lean\",\"92c7cf84473836460db3cd0b03f237303d6622ca581dc8a76b2c5d761921b832\",0,\"min_value_polynomial\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001611.lean\",\"a53bf988143b7f882ae39e5d0e9f489ca63f85020559003b7440e2faf9ee925d\",0,\"lean_workbook_23875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358236,
+      "path": "data/train/pef/oproofs-s00002-r00001608-n000004-0000-044a83914fb37608.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "044a83914fb376081db67d266c8ff1d896657e0d430d64734ab60ffc5110bc51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001612-n000004.json b/manifests/batches/oproofs/s00002-r00001612-n000004.json
index 93f1b1ed217a29719fc55e2350ad2f013969143b..62f1ea7a4e688de6fa77e7f15dacf9cb375983bb 100644
--- a/manifests/batches/oproofs/s00002-r00001612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001612-n000004",
   "batch_fingerprint": "5d5617193db6acd0dd1fac00b97dc826efda39e3e22c78258a921f03c43cc7a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001612-n000004-0000-78ec4ce702931eac.parquet",
-      "sha256": "78ec4ce702931eacb8a1d96d7fa2702fc6791588a9ea87fad8246dea4bc0d6cf",
-      "bytes": 312338,
-      "rows": 16,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001613.lean\",\"3d44c74939ef06febd5adfd7d7ccbe507ceaa2526dc81dde1249ad08dd51316e\",0,\"lean_workbook_plus_61516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001614.lean\",\"52940f3b1c184f41dab0ccdc583dda8b249fccd143f224cd84d96987de368b8c\",0,\"lean_workbook_plus_70033\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001615.lean\",\"0fbfe009b3be355354500f23301a0b1c990744d34496d26817761ced23bedeab\",0,\"lean_workbook_plus_18707\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312338,
+      "path": "data/train/pfd/oproofs-s00002-r00001612-n000004-0000-78ec4ce702931eac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "78ec4ce702931eacb8a1d96d7fa2702fc6791588a9ea87fad8246dea4bc0d6cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001616-n000004.json b/manifests/batches/oproofs/s00002-r00001616-n000004.json
index 5c3a08f1ab410f9eab1cd852945a5c1163a4a4dc..1fa3676a689bfd58eab9ffbb3fef92bc3d607e92 100644
--- a/manifests/batches/oproofs/s00002-r00001616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001616-n000004",
   "batch_fingerprint": "e086dc0d89a4f584519e4d4d850c6ebab7b9419595f3ad28fa7aa3d5847ba0e7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001616-n000004-0000-2770186fdf4b41cc.parquet",
-      "sha256": "2770186fdf4b41cc09de17c4b004547dd440baadbed92836128c81ba35be25ba",
-      "bytes": 232174,
-      "rows": 20,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001617.lean\",\"594c656ccce7ab824fa271e3fdcc27c8fcafae6de9b220df39a54e6ac372ab2f\",0,\"lean_workbook_15564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001618.lean\",\"b878d6bc54b8e68017b4dd94246a8f951d6d1df51542f9c35589c0e793fccad6\",0,\"lean_workbook_plus_42198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001619.lean\",\"dec3736ce88d65323e604ee84cbfda6334cbbb19cb431e411d4c78c05e518a09\",0,\"intersection_chord_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232174,
+      "path": "data/train/p7a/oproofs-s00002-r00001616-n000004-0000-2770186fdf4b41cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2770186fdf4b41cc09de17c4b004547dd440baadbed92836128c81ba35be25ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001620-n000004.json b/manifests/batches/oproofs/s00002-r00001620-n000004.json
index 1516b0a70f343687bd057cf78eb6b559a1182cfd..33710db0bcb5a9dce56cfe76cc02a5b825723168 100644
--- a/manifests/batches/oproofs/s00002-r00001620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001620-n000004",
   "batch_fingerprint": "c54da246592e3c124da7816c87fc0fe9a2b9f0148bdf7412c50ca4018367f274",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001620-n000004-0000-792178dfbba0a0a9.parquet",
-      "sha256": "792178dfbba0a0a90ef3108502e248df789f379cb1eb6c24b2e775dfa050574f",
-      "bytes": 429902,
-      "rows": 24,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001620-n000004-0000-4f3207bc6541e1a0.parquet",
-      "sha256": "4f3207bc6541e1a01737ff07104490068d04e8793636b54ff8c783fd6b376181",
-      "bytes": 58576,
-      "rows": 4,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1621",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001621.lean\",\"428f26cf14482ea5754886e128b3549dd5057e5fe49362495991cfb1f2800fdf\",0,\"lean_workbook_plus_80022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001622.lean\",\"f29858d5acb7dc4c7feb48a7a0dba0f12413302d28bcf30f91d1b84e77e4bbfb\",0,\"lean_workbook_3197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001623.lean\",\"0f34870eccfc67ff30da22bed4276bee8339da30271e7a36359af70f5922e0f3\",0,\"lean_workbook_plus_49331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429902,
+      "path": "data/train/p81/oproofs-s00002-r00001620-n000004-0000-792178dfbba0a0a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "792178dfbba0a0a90ef3108502e248df789f379cb1eb6c24b2e775dfa050574f"
+    },
+    {
+      "bytes": 58576,
+      "path": "data/internal_test/p81/oproofs-s00002-r00001620-n000004-0000-4f3207bc6541e1a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4f3207bc6541e1a01737ff07104490068d04e8793636b54ff8c783fd6b376181"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001624-n000004.json b/manifests/batches/oproofs/s00002-r00001624-n000004.json
index b35cd1521369bbe532c76d7389ccfd3a984b6852..ddc1c7a41763466a32cb18b7eadcd09e7e876df4 100644
--- a/manifests/batches/oproofs/s00002-r00001624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001624-n000004",
   "batch_fingerprint": "c156345ddce6a54db3748f7c7cff5f68d176d80e600261354154ffaefca86700",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001624-n000004-0000-8c5e1346ed9b1106.parquet",
-      "sha256": "8c5e1346ed9b11064023ab230780d0551f384ce15658416e64a92ea13704608f",
-      "bytes": 403929,
-      "rows": 18,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1625",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001625.lean\",\"2a3cda8204962620fd33d231135f7cfced59bd4ba34951e122e75a604c794141\",0,\"lean_workbook_plus_75124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001626.lean\",\"b79272b4d1f166e3414adb246668e4854842feafc3bcd709b3dc818ae38566f0\",0,\"lean_workbook_plus_14526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001627.lean\",\"8d91b581dcb0e8727d652b69572ed1653e855f9dc150006e4ed7c6d9c990ef07\",0,\"lean_workbook_plus_66404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 403929,
+      "path": "data/train/p94/oproofs-s00002-r00001624-n000004-0000-8c5e1346ed9b1106.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8c5e1346ed9b11064023ab230780d0551f384ce15658416e64a92ea13704608f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001628-n000004.json b/manifests/batches/oproofs/s00002-r00001628-n000004.json
index 94820af449d48d933b2d8e8e51e8b3f680cedb96..8d569a2a306f1457c72dcacc0347e315f3ce2f88 100644
--- a/manifests/batches/oproofs/s00002-r00001628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001628-n000004",
   "batch_fingerprint": "b4cad33122a2f7921b683dd2c5bc488aa8e14a9af998ae7a60ae85c7e7cfcb31",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001628-n000004-0000-459467366c1b04b5.parquet",
-      "sha256": "459467366c1b04b50a2151d424ede564e000265dccf36da804c8f7385d42bb5a",
-      "bytes": 375099,
-      "rows": 12,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001628-n000004-0000-44a65445fff952a1.parquet",
-      "sha256": "44a65445fff952a15d6974cc8aeb55cb28dde7b761e73d803f6e05fa6fcdcde8",
-      "bytes": 86325,
-      "rows": 7,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001629.lean\",\"4a489efe2afc707f3ada12a70d4b5abd16e10d7879cdcfb30989b9d7700e802d\",0,\"lean_workbook_plus_30419\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001630.lean\",\"b8dd0f804d526300027323413171fe06901b01e7876e0457735d890874a2b68d\",0,\"lean_workbook_20549\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001631.lean\",\"c0d49112a52bf2b2895ab48f8fdcea2d80c0046d19b0537264b43549944774ce\",0,\"lean_workbook_plus_4857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375099,
+      "path": "data/train/p81/oproofs-s00002-r00001628-n000004-0000-459467366c1b04b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "459467366c1b04b50a2151d424ede564e000265dccf36da804c8f7385d42bb5a"
+    },
+    {
+      "bytes": 86325,
+      "path": "data/dev/p81/oproofs-s00002-r00001628-n000004-0000-44a65445fff952a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "44a65445fff952a15d6974cc8aeb55cb28dde7b761e73d803f6e05fa6fcdcde8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001632-n000004.json b/manifests/batches/oproofs/s00002-r00001632-n000004.json
index db0867b53c1ff08924ee787e1b778423219c696d..34ad401d1a93a76546d05362f6e233f6ac5ae4a6 100644
--- a/manifests/batches/oproofs/s00002-r00001632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001632-n000004",
   "batch_fingerprint": "53089c14b3d396d90ed5a04a2c41e49fe5a1bbea5041ad8411327e7b1b151d50",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001632-n000004-0000-d702efb31bdea117.parquet",
-      "sha256": "d702efb31bdea1175323b05241c5fed2a86e6ba7d610cab7f326b7d5c213aa72",
-      "bytes": 791451,
-      "rows": 26,
-      "revision": "2ebe1eaeadead977bcafd9b1b1f0ceb0b6b35d79"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001632-n000004-0001-4a2f0ecb0455075d.parquet",
-      "sha256": "4a2f0ecb0455075d4dd816fd36d9d6c15afccfb1c8d4267efdbb476890f7916b",
-      "bytes": 571404,
-      "rows": 3,
-      "revision": "2ebe1eaeadead977bcafd9b1b1f0ceb0b6b35d79"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001633.lean\",\"6b1055ca73c723aa34731e9dbb28117a89e01315acdb19f004ce362639b3d311\",0,\"lean_workbook_47399\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001634.lean\",\"185d04df9f630d80b92cff125c3cafca073c721323e844e0aa4780dcc50d6278\",0,\"Real.sinAReal.cosB\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001635.lean\",\"d336d4a1d9861ac52c24e46ea2e8f04b4c0b6b1ef923c88dbb3484cb97d7d5c2\",0,\"lean_workbook_plus_73400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 791451,
+      "path": "data/train/p6f/oproofs-s00002-r00001632-n000004-0000-d702efb31bdea117.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d702efb31bdea1175323b05241c5fed2a86e6ba7d610cab7f326b7d5c213aa72"
+    },
+    {
+      "bytes": 571404,
+      "path": "data/train/p6f/oproofs-s00002-r00001632-n000004-0001-4a2f0ecb0455075d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a2f0ecb0455075d4dd816fd36d9d6c15afccfb1c8d4267efdbb476890f7916b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001636-n000004.json b/manifests/batches/oproofs/s00002-r00001636-n000004.json
index 40ddc8eb570c12e3b7f82bcccf4c19335bb51f41..ddefb6286719bdc13d0edbec8b8205aedf244d43 100644
--- a/manifests/batches/oproofs/s00002-r00001636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001636-n000004",
   "batch_fingerprint": "2c39848d4745b8da60409f85fbae5ab9974e65005ac450704e8fb1342612c11e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001636-n000004-0000-8fa15cc49f45e2c0.parquet",
-      "sha256": "8fa15cc49f45e2c00d31b383a86ebcd2c12e3696f31f7ba6d80ba80d88ba3738",
-      "bytes": 714983,
-      "rows": 20,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001637.lean\",\"961de6d9bc5ea3b3fe569e25a1cac54647a3feba70800dd703e1786689a6cff2\",0,\"lean_workbook_plus_38882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001638.lean\",\"f9c9e3334c2b2e998c7093f3f9cfff81ef85296a7bd9c365a6c508592b13df62\",0,\"lean_workbook_plus_43503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001639.lean\",\"ed6d66ee1f2793d694d1c53e874205a1ad34d61008a7b7edebd568b6a8e8cf77\",0,\"lean_workbook_plus_50971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 714983,
+      "path": "data/train/pc9/oproofs-s00002-r00001636-n000004-0000-8fa15cc49f45e2c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8fa15cc49f45e2c00d31b383a86ebcd2c12e3696f31f7ba6d80ba80d88ba3738"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001640-n000004.json b/manifests/batches/oproofs/s00002-r00001640-n000004.json
index 8d0d3660d37cbc93d2ff73f1c20129824364c403..8277f47080b3c1b6770f04332bd2f7391e8105a6 100644
--- a/manifests/batches/oproofs/s00002-r00001640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001640-n000004",
   "batch_fingerprint": "0489964e0bf4fa8d8dfd48594969db68ee26fcc3df905f0fb28ac9929279e56e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001640-n000004-0000-9205e597567a8a87.parquet",
-      "sha256": "9205e597567a8a873ba483a86a80f69c199c51ee835b7ca666d11fbb9eb8d929",
-      "bytes": 329878,
-      "rows": 24,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001641.lean\",\"bee73f5e5e7003aac941bdc18aa6811590ecfe95462a459e3b7d6ff577839759\",0,\"triangle_side_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001642.lean\",\"c46e2c01c4b49493373b404dfcbb0d345578812c49b45f7343e87b023a8970e1\",0,\"lean_workbook_2961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001643.lean\",\"566643718200795dd3a20ed17e58b38b5ec23e1b146343dd9263b272885a66b9\",0,\"complex_fraction_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329878,
+      "path": "data/train/p8a/oproofs-s00002-r00001640-n000004-0000-9205e597567a8a87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9205e597567a8a873ba483a86a80f69c199c51ee835b7ca666d11fbb9eb8d929"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001644-n000004.json b/manifests/batches/oproofs/s00002-r00001644-n000004.json
index 711ce0560ea1a1716c63dcde3299a57f8ba4dc84..1eea6134ae5482a162f59a78520d34e7eff636b0 100644
--- a/manifests/batches/oproofs/s00002-r00001644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001644-n000004",
   "batch_fingerprint": "3aded37419dba83aea27665eb101a2bc70ce73056ceb09268069f2de3b8c5bc5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001644-n000004-0000-a220babe1c80e9ba.parquet",
-      "sha256": "a220babe1c80e9ba5404adc7244f1d464a8cb41bcc2010110ece65aaaaf9d99b",
-      "bytes": 321266,
-      "rows": 18,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001644-n000004-0000-4c21b285e518181e.parquet",
-      "sha256": "4c21b285e518181e19de44a1e7e8aeb2d69d7b51b3304d850785fb453bb3d7c3",
-      "bytes": 107550,
-      "rows": 10,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001645.lean\",\"c8d911ad9eedf713ab86683fee6ec4af3a44638e5f6aa8ce30bd5ff68ed7bff2\",0,\"lean_workbook_plus_16501\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001646.lean\",\"ec548ac2643e7d6f81b26352979fcfc71f33425664336757a0109aed2e66f46c\",0,\"lean_workbook_35326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001647.lean\",\"3e071559bf81664f7cc40d6bf82ffcc2c8a453db9aaf6e72ecbac776c9d5f9b8\",0,\"lean_workbook_plus_24440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321266,
+      "path": "data/train/pfe/oproofs-s00002-r00001644-n000004-0000-a220babe1c80e9ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a220babe1c80e9ba5404adc7244f1d464a8cb41bcc2010110ece65aaaaf9d99b"
+    },
+    {
+      "bytes": 107550,
+      "path": "data/dev/pfe/oproofs-s00002-r00001644-n000004-0000-4c21b285e518181e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4c21b285e518181e19de44a1e7e8aeb2d69d7b51b3304d850785fb453bb3d7c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001648-n000004.json b/manifests/batches/oproofs/s00002-r00001648-n000004.json
index 334ab798af37612119e10c2999295435b31a93dd..317fedcb7ec5d486a5d7480f7738f2ab10e09c6f 100644
--- a/manifests/batches/oproofs/s00002-r00001648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001648-n000004",
   "batch_fingerprint": "dcdd1dc1e01fa53e0636e9cd75b5f5f9295735f18f4a31dc5b57d81380f18711",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001648-n000004-0000-6da7714a201ccb31.parquet",
-      "sha256": "6da7714a201ccb31b8417b78dbe26914b1972aed03c18f955d9359e652671f8b",
-      "bytes": 143254,
-      "rows": 15,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001648-n000004-0000-95f7d88b265e4092.parquet",
-      "sha256": "95f7d88b265e4092c533f67ec4661fa3e174ef6dd4afb40ebfb60fd181a74076",
-      "bytes": 92122,
-      "rows": 11,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001649.lean\",\"e8cac269ba76174f70a68a5a02b5e576bce01fc634f0bd4b60df8273d54488e7\",0,\"lean_workbook_plus_73443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001650.lean\",\"65eb2b310963402e5d03002e0e34b5c67a484a4e929dffc31b46397e5a09259f\",0,\"lean_workbook_plus_81914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001651.lean\",\"358e1a0c1da452c81fa30a0bf65163c0b6dafeb7f0b02b6f2d60cceac89b0d9d\",0,\"optimal_question_choice\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143254,
+      "path": "data/train/p71/oproofs-s00002-r00001648-n000004-0000-6da7714a201ccb31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6da7714a201ccb31b8417b78dbe26914b1972aed03c18f955d9359e652671f8b"
+    },
+    {
+      "bytes": 92122,
+      "path": "data/internal_test/p71/oproofs-s00002-r00001648-n000004-0000-95f7d88b265e4092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "95f7d88b265e4092c533f67ec4661fa3e174ef6dd4afb40ebfb60fd181a74076"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001652-n000004.json b/manifests/batches/oproofs/s00002-r00001652-n000004.json
index 5caf61ceae10e3ef2bc84372e49337029b82ccfe..eec3f327cf002e0f232350f0ddfc202b9e3cdb4f 100644
--- a/manifests/batches/oproofs/s00002-r00001652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001652-n000004",
   "batch_fingerprint": "6ae5792a82ac9d0015f5c06f1fabe3be7be31b871839de5bddcf95e519b0790f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001652-n000004-0000-97665758ee36fdff.parquet",
-      "sha256": "97665758ee36fdffea9f7910847cb7d19cbc36981472a906069868c7f5d05551",
-      "bytes": 168106,
-      "rows": 13,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001652-n000004-0000-8e0e40b282cebc88.parquet",
-      "sha256": "8e0e40b282cebc88784464049414f42a280eadbbf4f25cc7f98dd0b420206aab",
-      "bytes": 257992,
-      "rows": 12,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1653",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001653.lean\",\"cf0051ca8e3074f635864ed3f0ecf0005c5e560e1ad8148b14908948a419ad58\",0,\"lean_workbook_plus_13107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001654.lean\",\"94ad9068616a42df5dcb229672c64e086afa58ff1dcd44394e0affb31709bf6f\",0,\"lean_workbook_plus_80231\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001655.lean\",\"da7adce3807f378414bbeff780ca374d95e16846182e3942a852886e135bd762\",0,\"lean_workbook_34693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168106,
+      "path": "data/train/p5e/oproofs-s00002-r00001652-n000004-0000-97665758ee36fdff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "97665758ee36fdffea9f7910847cb7d19cbc36981472a906069868c7f5d05551"
+    },
+    {
+      "bytes": 257992,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00001652-n000004-0000-8e0e40b282cebc88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8e0e40b282cebc88784464049414f42a280eadbbf4f25cc7f98dd0b420206aab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001656-n000004.json b/manifests/batches/oproofs/s00002-r00001656-n000004.json
index d1a319dd3ad543730b5e31dea1092a2af0bb20a0..84c296c04ea7ff549e89b43a16df4644c1a46c13 100644
--- a/manifests/batches/oproofs/s00002-r00001656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001656-n000004",
   "batch_fingerprint": "8bc3b068e17608069214bd22dcec069e57fe0470db87284c0a52d4076118b8df",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001656-n000004-0000-9c5e26a1e6ec4e6a.parquet",
-      "sha256": "9c5e26a1e6ec4e6a2113edb92b4ee9e85d2dc6a8702e30de698c9274f23bd11c",
-      "bytes": 152359,
-      "rows": 18,
-      "revision": "9248b26ef219cb577df7472aa5d26813d066270a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001657.lean\",\"e4dcaa2c23f35ab125899cc36843e9d124ed0197a5abfc84b2c87373c40134e0\",0,\"lean_workbook_35062\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001658.lean\",\"c7de2598ca852adca002ef7fd77c4a49de288fcbca1eb4a7c168ed99ab1528cb\",0,\"lean_workbook_plus_41031\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001659.lean\",\"1cf205ea7e020bbef383861c930d1b524600596a44f4a59a6c9ed97dd3004db5\",0,\"lean_workbook_plus_15696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152359,
+      "path": "data/train/p7e/oproofs-s00002-r00001656-n000004-0000-9c5e26a1e6ec4e6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9c5e26a1e6ec4e6a2113edb92b4ee9e85d2dc6a8702e30de698c9274f23bd11c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001660-n000004.json b/manifests/batches/oproofs/s00002-r00001660-n000004.json
index 779138ebb48ae22bfeda0a422fdeb92e353ab6d2..e22a13bc74a1879f53f579e194b997095963ede2 100644
--- a/manifests/batches/oproofs/s00002-r00001660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001660-n000004",
   "batch_fingerprint": "9ffefefcf75edafbbf60eaaf9af79753acb9037af1220507b337298678a6bdeb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001660-n000004-0000-7898bbd9783111fc.parquet",
-      "sha256": "7898bbd9783111fc4fb973155b12e84317768f92931b9dadbed772d89f2e0ca9",
-      "bytes": 313146,
-      "rows": 17,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001660-n000004-0000-99a3bca972749455.parquet",
-      "sha256": "99a3bca972749455144403f63b2855c4a55f2caf68e49338253cf773d4f81e4f",
-      "bytes": 160358,
-      "rows": 5,
-      "revision": "8c00bd63de427d18c8255e05cf1c24df9c160990"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001661.lean\",\"08c27ba1fb323f667fa2d9afc72f1361f82383b879b3997f348909d5f33ca1c6\",0,\"lean_workbook_23989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001662.lean\",\"c34c910f2f934927761d1c068d9e9f0363a03090d1e1d33752e2bce72ab99caa\",0,\"lean_workbook_plus_20849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001663.lean\",\"3309ee7c2045f29e44bfe9fe6b216dc85300f82b0a6de60b9e360f03929f8379\",0,\"lean_workbook_plus_65331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313146,
+      "path": "data/train/p43/oproofs-s00002-r00001660-n000004-0000-7898bbd9783111fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7898bbd9783111fc4fb973155b12e84317768f92931b9dadbed772d89f2e0ca9"
+    },
+    {
+      "bytes": 160358,
+      "path": "data/dev/p43/oproofs-s00002-r00001660-n000004-0000-99a3bca972749455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "99a3bca972749455144403f63b2855c4a55f2caf68e49338253cf773d4f81e4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001664-n000004.json b/manifests/batches/oproofs/s00002-r00001664-n000004.json
index 15151f9bd77989757b7f1ddf3040a14f55165dd6..d1b5c51167115013861aca2dfb6586257917a715 100644
--- a/manifests/batches/oproofs/s00002-r00001664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001664-n000004",
   "batch_fingerprint": "85281383ebaa1725362e861c318cbc944ecede1cc2ceb989c31f9783e247b5de",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001664-n000004-0000-fdff3ccc13ea1439.parquet",
-      "sha256": "fdff3ccc13ea143937d3fd5a6545e265d6d35a4323a83bfc467706a935d528cd",
-      "bytes": 241781,
-      "rows": 19,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1665",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001665.lean\",\"6900636ed881b926e883645c64b8e8edc7e848acad32dc07cd0058857613a90a\",0,\"lean_workbook_plus_68323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001666.lean\",\"f233660322b1c5cb6fe5f2da3075b8437d101b02a7b0c8e5995ff059faaf26ea\",0,\"largest_gcd_sum_1023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001667.lean\",\"0f2ad821b928cfabea6e2e1ce476efa7eedfe8912d3ab18e6f4cb7c3f8132acc\",0,\"lean_workbook_51986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241781,
+      "path": "data/train/pcf/oproofs-s00002-r00001664-n000004-0000-fdff3ccc13ea1439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fdff3ccc13ea143937d3fd5a6545e265d6d35a4323a83bfc467706a935d528cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001668-n000004.json b/manifests/batches/oproofs/s00002-r00001668-n000004.json
index 93248d1646db47b152bdc7ff66b004d2806073c9..2db4b0c71def911b12588e4b4ae97d9edb3de720 100644
--- a/manifests/batches/oproofs/s00002-r00001668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001668-n000004",
   "batch_fingerprint": "fe5eaeeb35c73f1ba1cbc01f7f5ad27acc5986b21f5679b853686691999a12e6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001668-n000004-0000-b719d9a85e588340.parquet",
-      "sha256": "b719d9a85e588340deaa504289f9d3035b7e43c5d506759e70c3f9c4ba380e0a",
-      "bytes": 601108,
-      "rows": 21,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001668-n000004-0000-81de7ab58d9a565f.parquet",
-      "sha256": "81de7ab58d9a565f9f3198e99503b0c4a25d3964b01c1ff2da66dc1116331300",
-      "bytes": 109858,
-      "rows": 5,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001669.lean\",\"114a33f02cc5d2c4b795822c8e822f1f1bed56b241afebcfcf061254f0aff320\",0,\"lean_workbook_plus_52706\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001670.lean\",\"463a65279e4b919553b1833cad25a1f57923a1f391ba41f88ed06ab207905944\",0,\"lean_workbook_plus_46067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001671.lean\",\"f754dd825468b221e9052b8ceb781b5c67968755c8b6437ee3b8eda3aef603e1\",0,\"lean_workbook_plus_78185\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601108,
+      "path": "data/train/p5e/oproofs-s00002-r00001668-n000004-0000-b719d9a85e588340.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b719d9a85e588340deaa504289f9d3035b7e43c5d506759e70c3f9c4ba380e0a"
+    },
+    {
+      "bytes": 109858,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00001668-n000004-0000-81de7ab58d9a565f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "81de7ab58d9a565f9f3198e99503b0c4a25d3964b01c1ff2da66dc1116331300"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001672-n000004.json b/manifests/batches/oproofs/s00002-r00001672-n000004.json
index 18d3b913cd9e2109c24d48c83cb351d158a9d907..7512e127a89a0abe954e13bd2d50b6ba9a0fc57f 100644
--- a/manifests/batches/oproofs/s00002-r00001672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001672-n000004",
   "batch_fingerprint": "7b3f05b53327ea0dd2fb3262aeb98949c48b4859592b89229bb0b103c59b7627",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001672-n000004-0000-833756813be5c9ed.parquet",
-      "sha256": "833756813be5c9ed58c63bac50e618d9079b48a738a6597497b0aa6912ec9fe2",
-      "bytes": 861072,
-      "rows": 21,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001673.lean\",\"bc406a0b6c64fba64a9cd02a522ba550560a3ac4148d4aef08bdc70eae05ad1d\",0,\"lean_workbook_plus_21371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001674.lean\",\"6d5f5aeb56fb5197530c0c3857a72071e1884356955d12c47d8151bc682bd337\",0,\"lean_workbook_plus_57693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001675.lean\",\"91cbb4778fdd0290833c824f2cdc19003d8909b4d3fbdb3fa454c1acf0b5de9f\",0,\"lean_workbook_45460\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 861072,
+      "path": "data/train/pbd/oproofs-s00002-r00001672-n000004-0000-833756813be5c9ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "833756813be5c9ed58c63bac50e618d9079b48a738a6597497b0aa6912ec9fe2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001676-n000004.json b/manifests/batches/oproofs/s00002-r00001676-n000004.json
index 18e6dec85fa7d1bfd4afc48a7a24197e98ebed49..6d30f0ff95826485d5db911e924d45d53243e13e 100644
--- a/manifests/batches/oproofs/s00002-r00001676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001676-n000004",
   "batch_fingerprint": "0af1237354204871c2014a55a066bac3355c952f3efce12cf9459f9fb46e1ebe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001676-n000004-0000-b0467762fa24e341.parquet",
-      "sha256": "b0467762fa24e34116602eb77c8fd21808826d4ff0adebc012f5b4d3c572794a",
-      "bytes": 129563,
-      "rows": 8,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001676-n000004-0000-33c1277ab74bde1a.parquet",
-      "sha256": "33c1277ab74bde1a1324173fbd3df8e98169c95bc5c8e743f7cbe1ff811d29cf",
-      "bytes": 156080,
-      "rows": 11,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1677",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001677.lean\",\"65fb8224140afca7f40860e64eb9b35b07264617b78b38f9e1f415863dfdfe18\",0,\"lean_workbook_21398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001678.lean\",\"842e20fe6a6f2e65babe1a5686c50495fce4c76a44b3123fdb2d6d044bf47d03\",0,\"lean_workbook_plus_79809\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001679.lean\",\"cf9bafc489b160d5aeb43cc5eca22e5f4008292d9b277f39b81ed51318540453\",0,\"lean_workbook_19485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129563,
+      "path": "data/train/p36/oproofs-s00002-r00001676-n000004-0000-b0467762fa24e341.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b0467762fa24e34116602eb77c8fd21808826d4ff0adebc012f5b4d3c572794a"
+    },
+    {
+      "bytes": 156080,
+      "path": "data/internal_test/p36/oproofs-s00002-r00001676-n000004-0000-33c1277ab74bde1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "33c1277ab74bde1a1324173fbd3df8e98169c95bc5c8e743f7cbe1ff811d29cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001680-n000004.json b/manifests/batches/oproofs/s00002-r00001680-n000004.json
index 3c847cfafa5e72fd34d712c55f84d075a1f6d88e..1e760bdcb418b76bd8415e2502fecc2ed8cd7da5 100644
--- a/manifests/batches/oproofs/s00002-r00001680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001680-n000004",
   "batch_fingerprint": "2015c6d738f81ecb105da1cc1e7af4cba473a741006e72d394bf26ccbe284a6e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1680",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1681",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1682",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1683"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001680.lean\",\"1b79cdf4127fe4190f9fde6c1c1f97ed598adf118369f00d8e0a43a6fea60370\",0,\"lean_workbook_plus_37999\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001681.lean\",\"66e7f7f37c4363443f4d4f61f59cc387ad2b2c3a5fcfff30784abbf4da565e1b\",0,\"lean_workbook_26836\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001682.lean\",\"e2ae03b1bd2c6f2955ebb8d20854b4f82bf6f5ce85f2a025d28b7b67bb1b0609\",0,\"lean_workbook_plus_82513\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001683.lean\",\"9cf15e23b18380083ff256cc4d2d2992ef4ee7933906cea7ee3c11fd94b05bc7\",0,\"lean_workbook_plus_1409\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001680-n000004-0000-6cf30e45433c7ee1.parquet",
-      "sha256": "6cf30e45433c7ee1955d630c294fe02d16d8b6629ad3e4f22a38ef7bd683aa8b",
       "bytes": 58073,
+      "path": "data/train/p3d/oproofs-s00002-r00001680-n000004-0000-6cf30e45433c7ee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "6cf30e45433c7ee1955d630c294fe02d16d8b6629ad3e4f22a38ef7bd683aa8b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001680-n000004-0000-615e569919c5c7b3.parquet",
-      "sha256": "615e569919c5c7b39061767c7ee88044092a85a5fc1c2960404eaaaedf7aaa17",
       "bytes": 355608,
+      "path": "data/dev/p3d/oproofs-s00002-r00001680-n000004-0000-615e569919c5c7b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "615e569919c5c7b39061767c7ee88044092a85a5fc1c2960404eaaaedf7aaa17"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001680-n000004-0000-bc7a48179ba973ba.parquet",
-      "sha256": "bc7a48179ba973bad34e41a02e94c9b7ead784bb9ab456fe898ce197969ad309",
       "bytes": 80364,
+      "path": "data/internal_test/p3d/oproofs-s00002-r00001680-n000004-0000-bc7a48179ba973ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "bc7a48179ba973bad34e41a02e94c9b7ead784bb9ab456fe898ce197969ad309"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1680",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1681",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1682",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1683"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001680.lean\",\"1b79cdf4127fe4190f9fde6c1c1f97ed598adf118369f00d8e0a43a6fea60370\",0,\"lean_workbook_plus_37999\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001681.lean\",\"66e7f7f37c4363443f4d4f61f59cc387ad2b2c3a5fcfff30784abbf4da565e1b\",0,\"lean_workbook_26836\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001682.lean\",\"e2ae03b1bd2c6f2955ebb8d20854b4f82bf6f5ce85f2a025d28b7b67bb1b0609\",0,\"lean_workbook_plus_82513\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001683.lean\",\"9cf15e23b18380083ff256cc4d2d2992ef4ee7933906cea7ee3c11fd94b05bc7\",0,\"lean_workbook_plus_1409\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001684-n000004.json b/manifests/batches/oproofs/s00002-r00001684-n000004.json
index 046dee19d5015065ae33db0ae6ce2e8805c2e651..c0721f3f46c263ab406a72dd10cfe8859090f565 100644
--- a/manifests/batches/oproofs/s00002-r00001684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001684-n000004",
   "batch_fingerprint": "362d7105c7a6949a4ce2a332affd3954aa11257a40eb0543ecadb99ea9122ec2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1684",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1685",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1686",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1687"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001684.lean\",\"90bfb42a1a80d0e362d9d8f2fd55a4ed7ffed1b1100128fc1427cecbf24a855c\",0,\"lean_workbook_plus_42311\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001685.lean\",\"7fc45021c13b89bb2500d8f3e54e17259abd0e00d257804e09119caceb0cd414\",0,\"lean_workbook_plus_76638\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001686.lean\",\"a4fc8c99b9b270c4c566f55e48eb883d71efbab791988f55b76048d278abc9c4\",0,\"lean_workbook_plus_65609\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001687.lean\",\"dbcf075ed53f544648c74a35af799bbc554f7fac13e3f7033b321bae013c0509\",0,\"lean_workbook_32362\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001684-n000004-0000-592448d71219d057.parquet",
-      "sha256": "592448d71219d057d35563f45417a34fded9529ce0aab6d49a6536c203629a55",
       "bytes": 107250,
+      "path": "data/train/p94/oproofs-s00002-r00001684-n000004-0000-592448d71219d057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "592448d71219d057d35563f45417a34fded9529ce0aab6d49a6536c203629a55"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001684-n000004-0000-49922f1e3a70ad5e.parquet",
-      "sha256": "49922f1e3a70ad5e8a0091e777681ed28c57046d46f5bbaf7892cc6a5032a0df",
       "bytes": 67636,
+      "path": "data/dev/p94/oproofs-s00002-r00001684-n000004-0000-49922f1e3a70ad5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "49922f1e3a70ad5e8a0091e777681ed28c57046d46f5bbaf7892cc6a5032a0df"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001684-n000004-0000-2f381472a0b9076f.parquet",
-      "sha256": "2f381472a0b9076f22a3eee789c7e19447447feccde829890a599f57750f4ac0",
       "bytes": 203476,
+      "path": "data/internal_test/p94/oproofs-s00002-r00001684-n000004-0000-2f381472a0b9076f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "2f381472a0b9076f22a3eee789c7e19447447feccde829890a599f57750f4ac0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1684",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1685",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1686",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1687"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001684.lean\",\"90bfb42a1a80d0e362d9d8f2fd55a4ed7ffed1b1100128fc1427cecbf24a855c\",0,\"lean_workbook_plus_42311\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001685.lean\",\"7fc45021c13b89bb2500d8f3e54e17259abd0e00d257804e09119caceb0cd414\",0,\"lean_workbook_plus_76638\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001686.lean\",\"a4fc8c99b9b270c4c566f55e48eb883d71efbab791988f55b76048d278abc9c4\",0,\"lean_workbook_plus_65609\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001687.lean\",\"dbcf075ed53f544648c74a35af799bbc554f7fac13e3f7033b321bae013c0509\",0,\"lean_workbook_32362\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001688-n000004.json b/manifests/batches/oproofs/s00002-r00001688-n000004.json
index 6d1c58134678f212378fceec86500bb7cfa24fc7..ac174a3a6ae2282c330be964efb862e4234497cf 100644
--- a/manifests/batches/oproofs/s00002-r00001688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001688-n000004",
   "batch_fingerprint": "60bc886a7b149f0ff426c415962166829e2d7854f58c5b839fb2aacbea414cbf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001688-n000004-0000-576839d0d170b131.parquet",
-      "sha256": "576839d0d170b1314c404a94cc1cead1374b36275b007756bd673ad3d71c5a57",
-      "bytes": 76131,
-      "rows": 12,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001688-n000004-0000-2769110ac6472fc9.parquet",
-      "sha256": "2769110ac6472fc9394819c10027075aa18efea643e0b8c8a2430a984f52150e",
-      "bytes": 988684,
-      "rows": 2,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001689.lean\",\"f4534fa0d1698bb59f637b150ca5eab25c7ac8c39fd08301703b9a304d708d96\",0,\"lean_workbook_plus_76869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001690.lean\",\"619b7c22844ff9a443502e2f052e505917e51b10a0c515c983b18c059df77b6c\",0,\"lean_workbook_34957\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001691.lean\",\"bc9d78184dfea0e3ca94c4b97795c1338d7416cf1451d6c1eda6c37bb67b0108\",0,\"lean_workbook_plus_12480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76131,
+      "path": "data/train/p83/oproofs-s00002-r00001688-n000004-0000-576839d0d170b131.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "576839d0d170b1314c404a94cc1cead1374b36275b007756bd673ad3d71c5a57"
+    },
+    {
+      "bytes": 988684,
+      "path": "data/internal_test/p83/oproofs-s00002-r00001688-n000004-0000-2769110ac6472fc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2769110ac6472fc9394819c10027075aa18efea643e0b8c8a2430a984f52150e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001692-n000004.json b/manifests/batches/oproofs/s00002-r00001692-n000004.json
index c87af491b4c5c25c7fdd066d70bb1498d86aa03b..701c7d9a313beaf4810955ff230bfbf247072ee4 100644
--- a/manifests/batches/oproofs/s00002-r00001692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001692-n000004",
   "batch_fingerprint": "547693b076272ce41b187700ac371b92993668ed48bc60d7bf035c6753977946",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1692",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1693",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1694",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1695"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001692.lean\",\"234c9cf2c76dd814af0cca37a20153a686129a6c4a7e33d6c4cf27449a51fee5\",0,\"lean_workbook_plus_19696\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001693.lean\",\"c918a605bbb42049d851ae9ef32c379cc02239e0bdcfe32fae0be6651fc10d72\",0,\"lean_workbook_19671\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001694.lean\",\"29228e667234e123e75eda4619051fe8c3ab0ec4504cda9032d540d78bfc99fc\",0,\"lean_workbook_plus_36006\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001695.lean\",\"4510d4299a641fe457d0fcdac318f4243f63a8c61f7ea388ef543765c5f3c7ca\",0,\"lean_workbook_plus_41709\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001692-n000004-0000-fbc41f7e054ac40c.parquet",
-      "sha256": "fbc41f7e054ac40cb000154e4ebef28957086e0ff81b9a24fac8e0db6bc9d5a2",
       "bytes": 219446,
+      "path": "data/train/pd5/oproofs-s00002-r00001692-n000004-0000-fbc41f7e054ac40c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
+      "sha256": "fbc41f7e054ac40cb000154e4ebef28957086e0ff81b9a24fac8e0db6bc9d5a2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001692-n000004-0001-d4ca87158e5a0864.parquet",
-      "sha256": "d4ca87158e5a0864f9619595b39c1efc6aef9a3410ac66699c4fc68cc3565c62",
       "bytes": 1238793,
+      "path": "data/train/pd5/oproofs-s00002-r00001692-n000004-0001-d4ca87158e5a0864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
+      "sha256": "d4ca87158e5a0864f9619595b39c1efc6aef9a3410ac66699c4fc68cc3565c62"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001692-n000004-0002-91c45b6211df1024.parquet",
-      "sha256": "91c45b6211df1024118c48e9c97667f02bfdb06b0dccfb86b7294dc99e88bdf5",
       "bytes": 161817,
+      "path": "data/train/pd5/oproofs-s00002-r00001692-n000004-0002-91c45b6211df1024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
+      "sha256": "91c45b6211df1024118c48e9c97667f02bfdb06b0dccfb86b7294dc99e88bdf5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1692",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1693",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1694",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1695"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001692.lean\",\"234c9cf2c76dd814af0cca37a20153a686129a6c4a7e33d6c4cf27449a51fee5\",0,\"lean_workbook_plus_19696\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001693.lean\",\"c918a605bbb42049d851ae9ef32c379cc02239e0bdcfe32fae0be6651fc10d72\",0,\"lean_workbook_19671\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001694.lean\",\"29228e667234e123e75eda4619051fe8c3ab0ec4504cda9032d540d78bfc99fc\",0,\"lean_workbook_plus_36006\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001695.lean\",\"4510d4299a641fe457d0fcdac318f4243f63a8c61f7ea388ef543765c5f3c7ca\",0,\"lean_workbook_plus_41709\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001696-n000004.json b/manifests/batches/oproofs/s00002-r00001696-n000004.json
index 821c67f74509e5f95c852b2b87c429724c5c2336..9175c0cfa890a3dfdb5dc002f8dee5450c67826e 100644
--- a/manifests/batches/oproofs/s00002-r00001696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001696-n000004",
   "batch_fingerprint": "68d34ba598f81f7aca4c50a2e8907f8044fe0c06cde3bf3a1a401d628e117c35",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001696-n000004-0000-077fff22c031f79e.parquet",
-      "sha256": "077fff22c031f79ee1650070247e094710b52ce82e9bcc79512347e83799ff04",
-      "bytes": 225288,
-      "rows": 12,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001697.lean\",\"303f1fd639d9233b7de59277ca0a19606ad58bf50f625b24e1bd55f1563bf75f\",0,\"lean_workbook_12887\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001698.lean\",\"6aef35febc1ba1795c7f8d49bbf4358ce8545fda562a08188a30864e4261ac2c\",0,\"lean_workbook_plus_70565\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001699.lean\",\"2e9b259381f24c194cde61f9a1ff72d3313fdc75596ce4c2efddbfe09765a82e\",0,\"lean_workbook_plus_37278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225288,
+      "path": "data/train/pa8/oproofs-s00002-r00001696-n000004-0000-077fff22c031f79e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "077fff22c031f79ee1650070247e094710b52ce82e9bcc79512347e83799ff04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001700-n000004.json b/manifests/batches/oproofs/s00002-r00001700-n000004.json
index 9b22c6af82692d31ca059bfdd3558500127334ec..724352bb974eee9f0c615a7fbb0806ec6eed0b9d 100644
--- a/manifests/batches/oproofs/s00002-r00001700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001700-n000004",
   "batch_fingerprint": "eacd75e1d197e3a678b43112a775fc2664051e0b38e8e811b3a8abc159d23fa4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001700-n000004-0000-27067a036ab2eeef.parquet",
-      "sha256": "27067a036ab2eeef597d336cbebae822819148d886fd7c7e19a5511bb7e38a7a",
-      "bytes": 402900,
-      "rows": 30,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1701",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001701.lean\",\"24deafc9feee1dfcba32d58a3cf48520f58f84f884f77aa7254663565480a69a\",0,\"neg_2839_mod_10\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001702.lean\",\"a340e58144f0493a0a76d88d4c7316fee5737241c2a795bef0d7e0edab5a13c9\",0,\"lean_workbook_plus_15277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001703.lean\",\"bcb56e22b1a172daa47ec010645c1b80d2fe9c6450aa0e4357dc19837af3ad3b\",0,\"lean_workbook_plus_16961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402900,
+      "path": "data/train/pd6/oproofs-s00002-r00001700-n000004-0000-27067a036ab2eeef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "27067a036ab2eeef597d336cbebae822819148d886fd7c7e19a5511bb7e38a7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001704-n000004.json b/manifests/batches/oproofs/s00002-r00001704-n000004.json
index dc468c59689976baa9c2370e860e48ef595e8999..66652463888b4f7c633cf3917c3a4fd68bfe0186 100644
--- a/manifests/batches/oproofs/s00002-r00001704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001704-n000004",
   "batch_fingerprint": "51912bf6d5271bb82141c120acbd7c15f1417d42611eb61ede39b663348803c1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001704-n000004-0000-9a123599352334d8.parquet",
-      "sha256": "9a123599352334d87e4338d1bf3f84c9d8b7bd01d25b7c88341e80bc18fa2d01",
-      "bytes": 293822,
-      "rows": 19,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001705.lean\",\"1991bc530d9f5592493ef299c147df68e8588ccf960dd208f5238058c786ab20\",0,\"lean_workbook_plus_60366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001706.lean\",\"4a603807aefd1137c89d7341ae902d2c2fa37046ead2300efa1d4180cc05db3b\",0,\"lean_workbook_plus_62268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001707.lean\",\"c3ea164fc22502ad2f4f5ade9fc9fbcf5c482131c6740879632d20fd2c6300e1\",0,\"lean_workbook_plus_69947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293822,
+      "path": "data/train/p37/oproofs-s00002-r00001704-n000004-0000-9a123599352334d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9a123599352334d87e4338d1bf3f84c9d8b7bd01d25b7c88341e80bc18fa2d01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001708-n000004.json b/manifests/batches/oproofs/s00002-r00001708-n000004.json
index 004b69673a6481a9f67955248a831d0651d10170..a781bb0e329f1d1f9d0fb65a3f070a87acba262c 100644
--- a/manifests/batches/oproofs/s00002-r00001708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001708-n000004",
   "batch_fingerprint": "4a95f451ce595615591747fe83d3a5c773724a77c58c912cb2451db3d4d69c78",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001708-n000004-0000-3bc0de7ce68a33fa.parquet",
-      "sha256": "3bc0de7ce68a33fa20e1bc0968cf631518f4cf6346ee843ef62126b6df87a1bc",
-      "bytes": 163784,
-      "rows": 13,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001708-n000004-0000-272fd1143e1a8dbb.parquet",
-      "sha256": "272fd1143e1a8dbb42c8b2a837d9eb3be4fc9190c6a383e08cb6163118c3129d",
-      "bytes": 49683,
-      "rows": 2,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1709",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001709.lean\",\"a6d273dfc3c84ab2de65e9e2465c3d91c9679aa099f5562541be70cc2cae3a2a\",0,\"lean_workbook_37860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001710.lean\",\"771966fa5a4af97920097be5cf93bead5fcd0f22819b78677b7257d155433954\",0,\"lean_workbook_plus_27742\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001711.lean\",\"dbdb7e12c80e45b79be34dc1e1633a3fdfadbf0b3c02a3983a3856f4c9794629\",0,\"lean_workbook_plus_31096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163784,
+      "path": "data/train/pde/oproofs-s00002-r00001708-n000004-0000-3bc0de7ce68a33fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3bc0de7ce68a33fa20e1bc0968cf631518f4cf6346ee843ef62126b6df87a1bc"
+    },
+    {
+      "bytes": 49683,
+      "path": "data/dev/pde/oproofs-s00002-r00001708-n000004-0000-272fd1143e1a8dbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "272fd1143e1a8dbb42c8b2a837d9eb3be4fc9190c6a383e08cb6163118c3129d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001712-n000004.json b/manifests/batches/oproofs/s00002-r00001712-n000004.json
index afec1e691d6a276ca207462bb6ce036cd70f40b1..c149bce6579519c3d8eda4fd5afc19a74c36e265 100644
--- a/manifests/batches/oproofs/s00002-r00001712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001712-n000004",
   "batch_fingerprint": "0383bc9c52314f155e2707ea6a396eb5f352e2122010dc170453152c7d9b1557",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001712-n000004-0000-39b1d383587f8022.parquet",
-      "sha256": "39b1d383587f8022a059dc3c2a83dc3d647bddc8809d2bbc4fcaa5baf3d169b3",
-      "bytes": 357986,
-      "rows": 15,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001713.lean\",\"fc5534fa0645d379bc58ebc293fab1b2b1b4062fd8b75dbf1b8276f9ebb074a2\",0,\"lean_workbook_plus_77757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001714.lean\",\"664c09adc29bad87c82b4e583fb83337e712c5a7785b380a0ac8b05a78e9073c\",0,\"lean_workbook_plus_10087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001715.lean\",\"fac70ebd68d30f6dd889072de41eb30d8fb6529cf906aa917e1ba86bfcb688dd\",0,\"lean_workbook_plus_48151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357986,
+      "path": "data/train/p74/oproofs-s00002-r00001712-n000004-0000-39b1d383587f8022.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "39b1d383587f8022a059dc3c2a83dc3d647bddc8809d2bbc4fcaa5baf3d169b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001716-n000004.json b/manifests/batches/oproofs/s00002-r00001716-n000004.json
index 060ca468c21acbac0ad07cfd9610f27896d7e639..48aa84d4bbc7c27c874bbb4243095ca8d0d27d29 100644
--- a/manifests/batches/oproofs/s00002-r00001716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001716-n000004",
   "batch_fingerprint": "577f82805481da55a0b09273e2f78f462701918850a0966ad885896f6286ed4c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001716-n000004-0000-5fbf319e4807e4f9.parquet",
-      "sha256": "5fbf319e4807e4f94b98c12fd0bb58e55c6edfbd40037a81d32b7bb192ceb905",
-      "bytes": 213124,
-      "rows": 18,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001717.lean\",\"84498ee10d58d6de7a9f336b2733caa0fc1f0805a1159f966f1290b138bb940c\",0,\"lean_workbook_plus_38882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001718.lean\",\"d9702bc6aee607f5f067ef3bef318b01c6010a0fc44f88cce61eb0cfce4d155b\",0,\"lean_workbook_plus_43503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001719.lean\",\"44a6cd113d9bb0a33c8e67f965bf8a5234ae0824789f5895da94dbd7ed29c0b3\",0,\"lean_workbook_plus_75872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213124,
+      "path": "data/train/pc5/oproofs-s00002-r00001716-n000004-0000-5fbf319e4807e4f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5fbf319e4807e4f94b98c12fd0bb58e55c6edfbd40037a81d32b7bb192ceb905"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001720-n000004.json b/manifests/batches/oproofs/s00002-r00001720-n000004.json
index 018e35be9fd413ee27578f51b52c1b74dcd2ef4c..812140bb6e49af5b5dd8fe402a0e4c1b4c481137 100644
--- a/manifests/batches/oproofs/s00002-r00001720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001720-n000004",
   "batch_fingerprint": "d8f61f45fb0ddbdfff9187af4f1184c2ede24239262a9362322c71b9d402c177",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001720-n000004-0000-86c27389194555e6.parquet",
-      "sha256": "86c27389194555e67cb020d632048e4a23716c1985f11e8c7bb43bb04d630a07",
-      "bytes": 171885,
-      "rows": 13,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001720-n000004-0000-6faec5c03ac48ed5.parquet",
-      "sha256": "6faec5c03ac48ed57e02064ec014226ca32f1f300fc9435effb3c8df9e9c8533",
-      "bytes": 86553,
-      "rows": 5,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001721.lean\",\"95016d3441125152d3d0b920372589592096b35f284f294b31cc73864e78c003\",0,\"lean_workbook_plus_16501\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001722.lean\",\"ad6e8605ba6b6d1fed847d098ccbb084652331c8c1cfcd53b73961d0388b5639\",0,\"lean_workbook_plus_24440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001723.lean\",\"2f94e70592cbcc1bd70d5496c608816c2852da7ae766d035a5ebe428105263a9\",0,\"lean_workbook_plus_81914\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171885,
+      "path": "data/train/pdc/oproofs-s00002-r00001720-n000004-0000-86c27389194555e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "86c27389194555e67cb020d632048e4a23716c1985f11e8c7bb43bb04d630a07"
+    },
+    {
+      "bytes": 86553,
+      "path": "data/dev/pdc/oproofs-s00002-r00001720-n000004-0000-6faec5c03ac48ed5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6faec5c03ac48ed57e02064ec014226ca32f1f300fc9435effb3c8df9e9c8533"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001724-n000004.json b/manifests/batches/oproofs/s00002-r00001724-n000004.json
index 0acccc9fde360fb25e02a0674258235c58186422..800dbff000ce075cbb55bb2fb45511fa253524ab 100644
--- a/manifests/batches/oproofs/s00002-r00001724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001724-n000004",
   "batch_fingerprint": "cd5567233639d31aae00c64076ae660e5c165ed1460f7a820523e356cc60c15c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001724-n000004-0000-1dddcc75fc92a66b.parquet",
-      "sha256": "1dddcc75fc92a66bc570e0431c9ae16ced6b5fb90175dbb8b2e356a4a9338917",
-      "bytes": 141102,
-      "rows": 9,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001724-n000004-0000-59ce0eb2d1b4d050.parquet",
-      "sha256": "59ce0eb2d1b4d050749d373e947edaecdd689b6958c32f0fdf11b0096c022a3d",
-      "bytes": 83298,
-      "rows": 11,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001725.lean\",\"c46816d32aa84c5380eed38ab8814926ef79df5940082eea3d00c2e7fdcdbf6d\",0,\"lean_workbook_plus_73443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001726.lean\",\"2c13e8e78b92ec615c29ec0b7d24a9cc1dad91e340e4f839e0a3c5335c15831d\",0,\"lean_workbook_17512\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001727.lean\",\"854e66aab25568b8d4851b113143846c5b2665eab0f497a61f650fb4a2e3e982\",0,\"lean_workbook_34693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141102,
+      "path": "data/train/pfd/oproofs-s00002-r00001724-n000004-0000-1dddcc75fc92a66b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1dddcc75fc92a66bc570e0431c9ae16ced6b5fb90175dbb8b2e356a4a9338917"
+    },
+    {
+      "bytes": 83298,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00001724-n000004-0000-59ce0eb2d1b4d050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "59ce0eb2d1b4d050749d373e947edaecdd689b6958c32f0fdf11b0096c022a3d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001728-n000004.json b/manifests/batches/oproofs/s00002-r00001728-n000004.json
index e39cac9fb385bc61e4a38f97daa16efc0f2701ad..051ca1b07e1f5983b37b3b49f72667d0c65a05c4 100644
--- a/manifests/batches/oproofs/s00002-r00001728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001728-n000004",
   "batch_fingerprint": "ee3a13629a55cd0b9a85909cd6dc390942692bcf74b68d7671969c1d0d0ebfed",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001728-n000004-0000-17f16d3a3bb7e182.parquet",
-      "sha256": "17f16d3a3bb7e18297429575e7e3ce83696f3bec26c323809997b373bdb772c7",
-      "bytes": 100991,
-      "rows": 12,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001729.lean\",\"9316108d6c4ab7acd0af42c35119266a52a63b9fe7848c6be3ded9119f298a4a\",0,\"lean_workbook_plus_41031\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001730.lean\",\"4127137ceae7754ff49224dc5f4a958c409d12fb7f5f9074f939ef2a18803fa6\",0,\"lean_workbook_plus_15696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001731.lean\",\"9f843937e4891b8bac8f64644afbf35c62d6b90673503e24c97d3cb96803ec86\",0,\"lean_workbook_23989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100991,
+      "path": "data/train/pcb/oproofs-s00002-r00001728-n000004-0000-17f16d3a3bb7e182.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "17f16d3a3bb7e18297429575e7e3ce83696f3bec26c323809997b373bdb772c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001732-n000004.json b/manifests/batches/oproofs/s00002-r00001732-n000004.json
index f6e645080f2bf80a6cb99f692a2cad810abf5b16..75f33a5dedd7c1c823c08dde3e6ea3ffd5496d2b 100644
--- a/manifests/batches/oproofs/s00002-r00001732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001732-n000004",
   "batch_fingerprint": "654fda7ec6986d24d893d4a2843fef1786ba255218bd1776818b70c1cec73842",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1732",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1733",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1734",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1735"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001732.lean\",\"bc565421f3e423f2e1bfbcaf0e8b898217f4e223baa88cd0ee971e5282a390c4\",0,\"lean_workbook_plus_80231\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001733.lean\",\"8fece8688c2cd95b45780a047593adce26e8ddc5d329727bb283cb6f154ad573\",0,\"lean_workbook_plus_13107\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001734.lean\",\"01b175ca4b61adcacf0d1556f65c503a9dff42ef842f1d99a3a4c66d20005c25\",0,\"lean_workbook_plus_68323\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001735.lean\",\"767ec3403b34cb7ed23b736f4d01faeb09b1cd0df9dc0e43a5f2a047819d7a1f\",0,\"lean_workbook_plus_34231\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001732-n000004-0000-e306cf5df71f8d1c.parquet",
-      "sha256": "e306cf5df71f8d1c64ba59d35888b441a210d65d9299323baa27e8cd97a8bbaf",
       "bytes": 140526,
+      "path": "data/train/pf0/oproofs-s00002-r00001732-n000004-0000-e306cf5df71f8d1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "e306cf5df71f8d1c64ba59d35888b441a210d65d9299323baa27e8cd97a8bbaf"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001732-n000004-0000-fd62050647ed20f1.parquet",
-      "sha256": "fd62050647ed20f1d952f6b9f1b44100f2de0995d91563e2ac7c526f4e9ed35b",
       "bytes": 178084,
+      "path": "data/dev/pf0/oproofs-s00002-r00001732-n000004-0000-fd62050647ed20f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "fd62050647ed20f1d952f6b9f1b44100f2de0995d91563e2ac7c526f4e9ed35b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001732-n000004-0000-7760cef0da21f251.parquet",
-      "sha256": "7760cef0da21f251e04ff1ac833c2cede471552351bd75b02b7cbec94d7802d9",
       "bytes": 203556,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00001732-n000004-0000-7760cef0da21f251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "7760cef0da21f251e04ff1ac833c2cede471552351bd75b02b7cbec94d7802d9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1732",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1733",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1734",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1735"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001732.lean\",\"bc565421f3e423f2e1bfbcaf0e8b898217f4e223baa88cd0ee971e5282a390c4\",0,\"lean_workbook_plus_80231\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001733.lean\",\"8fece8688c2cd95b45780a047593adce26e8ddc5d329727bb283cb6f154ad573\",0,\"lean_workbook_plus_13107\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001734.lean\",\"01b175ca4b61adcacf0d1556f65c503a9dff42ef842f1d99a3a4c66d20005c25\",0,\"lean_workbook_plus_68323\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001735.lean\",\"767ec3403b34cb7ed23b736f4d01faeb09b1cd0df9dc0e43a5f2a047819d7a1f\",0,\"lean_workbook_plus_34231\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001736-n000004.json b/manifests/batches/oproofs/s00002-r00001736-n000004.json
index 897918d91c349d4f85cc7bbd6c82de5e8df59487..fd932a76c6a4b8ea9342a37505b345dfcfd4f32b 100644
--- a/manifests/batches/oproofs/s00002-r00001736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001736-n000004",
   "batch_fingerprint": "85521b67bf17cc18024176b9d0970853c3273b102c187d4c2e4377594db0bf3a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001736-n000004-0000-16c50436e66896a6.parquet",
-      "sha256": "16c50436e66896a68d33a813be410d0c2a170b8230c14624026b300f5975b176",
-      "bytes": 189418,
-      "rows": 17,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001737.lean\",\"3a0609ee74e81af131fd2a09c72cc2bfb079f26988fbc4628d6e1303e3ed1822\",0,\"largest_gcd_sum_1023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001738.lean\",\"eee13ef01eb47063ee3c3aa98e018bb7a6cd58098da6d2ab5948a99230e2b9c6\",0,\"lean_workbook_plus_79743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001739.lean\",\"235de52313a1db2b856126e912328493127645f8cb3d9000c758713ef8c5a34a\",0,\"lean_workbook_plus_14692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189418,
+      "path": "data/train/pf2/oproofs-s00002-r00001736-n000004-0000-16c50436e66896a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "16c50436e66896a68d33a813be410d0c2a170b8230c14624026b300f5975b176"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001740-n000004.json b/manifests/batches/oproofs/s00002-r00001740-n000004.json
index 756d862bf77bc7be75ba43032626dd2c90171a9a..c4f2417589eef06458d36ef064975c09e0bfe0fa 100644
--- a/manifests/batches/oproofs/s00002-r00001740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001740-n000004",
   "batch_fingerprint": "84a5ff5a535b353bd1a47938e7ce20c9ed7b001ff5992a9315db51a18895f46d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001740-n000004-0000-be18c81ed18dfdaa.parquet",
-      "sha256": "be18c81ed18dfdaaa330772e0df549df90f61e08779cd6daa5ac3466b9aec03a",
-      "bytes": 398221,
-      "rows": 26,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001741.lean\",\"b112b0bd65e87874e322e143b0aa1fc761e07c4b7223b2fe7ee5bd6ecbf06112\",0,\"lean_workbook_20801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001742.lean\",\"be3e2ed4a597779161107badade114d2ea48ba79d54d0c79744102d738790bc6\",0,\"lean_workbook_plus_46067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001743.lean\",\"73998daf79b97521222064a4924769c2b63e79d1a3aa9d59c4476881fe89f4fe\",0,\"lean_workbook_plus_20849\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398221,
+      "path": "data/train/p07/oproofs-s00002-r00001740-n000004-0000-be18c81ed18dfdaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "be18c81ed18dfdaaa330772e0df549df90f61e08779cd6daa5ac3466b9aec03a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001744-n000004.json b/manifests/batches/oproofs/s00002-r00001744-n000004.json
index 49eb4d53297ab5b0573d85336b71d6727ccc9c96..308359a555835ad9068a193041fc671206bafb31 100644
--- a/manifests/batches/oproofs/s00002-r00001744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001744-n000004",
   "batch_fingerprint": "3d924b766589ee5de7e73089449a8ecbad8b355cdcd794c2ecbaf0c5d5dcda10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001744-n000004-0000-bb3e71afb48b2312.parquet",
-      "sha256": "bb3e71afb48b2312f295b8e4696ffeeae76f91feb1ff0bd8a14c49dcec7859a6",
-      "bytes": 199165,
-      "rows": 12,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001744-n000004-0000-553129020a6a2b95.parquet",
-      "sha256": "553129020a6a2b95784b5566c897f3f6f5c17adc7e8ea9880e7fccc7b1a1342c",
-      "bytes": 87254,
-      "rows": 5,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001745.lean\",\"2f191df2bd1d22ed2eb25b74b28d2ead0b9105d9ab0581eedf270a233b0c36a2\",0,\"lean_workbook_plus_61256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001746.lean\",\"c5350cb44ba78dc06f334b944c444d27eebc3421d5eeeca55cb5aaf45a0bf48b\",0,\"lean_workbook_plus_21371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001747.lean\",\"2369ff0b9f22fe1bd597d643164c5ce92b6bcd30ea21e9189e9e291ce7493cc2\",0,\"lean_workbook_plus_52706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199165,
+      "path": "data/train/pdc/oproofs-s00002-r00001744-n000004-0000-bb3e71afb48b2312.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bb3e71afb48b2312f295b8e4696ffeeae76f91feb1ff0bd8a14c49dcec7859a6"
+    },
+    {
+      "bytes": 87254,
+      "path": "data/internal_test/pdc/oproofs-s00002-r00001744-n000004-0000-553129020a6a2b95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "553129020a6a2b95784b5566c897f3f6f5c17adc7e8ea9880e7fccc7b1a1342c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001748-n000004.json b/manifests/batches/oproofs/s00002-r00001748-n000004.json
index 201600d958c2f6cf82190e331bb13798f0502ee2..5b15a337e62b161cc9de4c8dab9838f0b36afe8c 100644
--- a/manifests/batches/oproofs/s00002-r00001748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001748-n000004",
   "batch_fingerprint": "67347fb6c7fd08664fe2fd0b86a5719f4da9af18d8257b8eeb24024c4f2b0fa7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001748-n000004-0000-baa2b9035d890f27.parquet",
-      "sha256": "baa2b9035d890f27e1d1d12c9c2841502a404bac8513e049374a9fb67487457b",
-      "bytes": 178486,
-      "rows": 14,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001748-n000004-0000-f258b07c46d44b29.parquet",
-      "sha256": "f258b07c46d44b29b150ba8fb2ffeb1318c45b146d9576a1e55e52cdb438ea03",
-      "bytes": 123748,
-      "rows": 9,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001749.lean\",\"35f3e6257761abba8b9f6c999fe3a4bfa90ecff1e6860404289d00d188dcc233\",0,\"lean_workbook_plus_15709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001750.lean\",\"cb24789d9b989681e575a2671e9580370708dd5b14166a7fb732aba31160d9d8\",0,\"lean_workbook_19485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001751.lean\",\"47c6cdacc349da11c80b19acf78bb0d8bae522574c194254fcca7436d5ae344c\",0,\"lean_workbook_plus_79809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178486,
+      "path": "data/train/p25/oproofs-s00002-r00001748-n000004-0000-baa2b9035d890f27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "baa2b9035d890f27e1d1d12c9c2841502a404bac8513e049374a9fb67487457b"
+    },
+    {
+      "bytes": 123748,
+      "path": "data/internal_test/p25/oproofs-s00002-r00001748-n000004-0000-f258b07c46d44b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f258b07c46d44b29b150ba8fb2ffeb1318c45b146d9576a1e55e52cdb438ea03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001752-n000004.json b/manifests/batches/oproofs/s00002-r00001752-n000004.json
index a33b311e0f103340b373297164390d30cd79e355..08ef85f4eeabf826c7381ec8b7baa6a24537e94c 100644
--- a/manifests/batches/oproofs/s00002-r00001752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001752-n000004",
   "batch_fingerprint": "ebd7f588dda8256f4dd051aa806048c78f7bb329f93ce2251013cba7c5988a15",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1752",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1753",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1754",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1755"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001752.lean\",\"c8506260d2e2337ebecf1060ae7cd82c9792f31145e46c17850970bbf972af4d\",0,\"lean_workbook_45460\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001753.lean\",\"2ed5488f05ae2321efe832e87dbb31582d4dbf507e32dce0c2e89eae355d2fdd\",0,\"lean_workbook_plus_37999\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001754.lean\",\"b147f1f555345bb4c6b5ba86b8349568347e0453f3ff30bc7a7650557ad0ce1b\",0,\"lean_workbook_plus_46076\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001755.lean\",\"7054d7a2d6de57f01555fa25c7b2fb7d747ec0faf62cfc27cc18fba9e5dead5a\",0,\"lean_workbook_26836\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001752-n000004-0000-884ab903f01dc107.parquet",
-      "sha256": "884ab903f01dc1074dd5678ab853c60b06fb1aa9e1b77f70e775f067dcb756e9",
       "bytes": 201950,
+      "path": "data/train/p6a/oproofs-s00002-r00001752-n000004-0000-884ab903f01dc107.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "884ab903f01dc1074dd5678ab853c60b06fb1aa9e1b77f70e775f067dcb756e9"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001752-n000004-0000-18ae688d27e8d2c7.parquet",
-      "sha256": "18ae688d27e8d2c7cf50478a3f4657600c63167bfbd716d79e5ec21bf89315ac",
       "bytes": 70036,
+      "path": "data/dev/p6a/oproofs-s00002-r00001752-n000004-0000-18ae688d27e8d2c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "18ae688d27e8d2c7cf50478a3f4657600c63167bfbd716d79e5ec21bf89315ac"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001752-n000004-0000-886ea97e9cc829fd.parquet",
-      "sha256": "886ea97e9cc829fdc8a08203245a9b2159b225a7dcb1ac980b1453cc8bf99724",
       "bytes": 105424,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00001752-n000004-0000-886ea97e9cc829fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
+      "sha256": "886ea97e9cc829fdc8a08203245a9b2159b225a7dcb1ac980b1453cc8bf99724"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1752",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1753",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1754",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1755"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001752.lean\",\"c8506260d2e2337ebecf1060ae7cd82c9792f31145e46c17850970bbf972af4d\",0,\"lean_workbook_45460\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001753.lean\",\"2ed5488f05ae2321efe832e87dbb31582d4dbf507e32dce0c2e89eae355d2fdd\",0,\"lean_workbook_plus_37999\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001754.lean\",\"b147f1f555345bb4c6b5ba86b8349568347e0453f3ff30bc7a7650557ad0ce1b\",0,\"lean_workbook_plus_46076\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001755.lean\",\"7054d7a2d6de57f01555fa25c7b2fb7d747ec0faf62cfc27cc18fba9e5dead5a\",0,\"lean_workbook_26836\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001756-n000004.json b/manifests/batches/oproofs/s00002-r00001756-n000004.json
index 46fec7d89e8b352cf4799dc5a3de47d2bfbbe528..eb5a7382ee87a780cc3020c00a2336a0c57c86ef 100644
--- a/manifests/batches/oproofs/s00002-r00001756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001756-n000004",
   "batch_fingerprint": "fc6cf534f26a111ec26c20f973e62711884f1aec766c1357ecab31aeceb47b62",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001756-n000004-0000-ec9c6d1d2009fd7b.parquet",
-      "sha256": "ec9c6d1d2009fd7b72a3d974eeaa395329149f8513fdaae1ffb074dc2a3d268f",
-      "bytes": 107517,
-      "rows": 6,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001756-n000004-0000-2bc1e07ab55a9808.parquet",
-      "sha256": "2bc1e07ab55a98081697bba1bf7c574cc2b00c5da05a29d30e7d9457e8b3bb23",
-      "bytes": 415972,
-      "rows": 18,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1757",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001757.lean\",\"968d9884d5369166fdd4b67ea5044a913e5ad117cab166272ab9081e85f89eb6\",0,\"lean_workbook_plus_42311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001758.lean\",\"3452c0f103493ee64165c61c3045c2f2083d3e458331108414de81932f1c6bbd\",0,\"lean_workbook_plus_1409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001759.lean\",\"6103eb9a5ba28c0b366a2434e94b0d288e61f92314a880cf03eaa684dcf6a420\",0,\"lean_workbook_plus_76638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107517,
+      "path": "data/train/p82/oproofs-s00002-r00001756-n000004-0000-ec9c6d1d2009fd7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ec9c6d1d2009fd7b72a3d974eeaa395329149f8513fdaae1ffb074dc2a3d268f"
+    },
+    {
+      "bytes": 415972,
+      "path": "data/dev/p82/oproofs-s00002-r00001756-n000004-0000-2bc1e07ab55a9808.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2bc1e07ab55a98081697bba1bf7c574cc2b00c5da05a29d30e7d9457e8b3bb23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001760-n000004.json b/manifests/batches/oproofs/s00002-r00001760-n000004.json
index a9145671eb8c8183656c7d8c83b06151b6cabb17..c744c7ae87e4ce5a733caf8b0d3441403835e431 100644
--- a/manifests/batches/oproofs/s00002-r00001760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001760-n000004",
   "batch_fingerprint": "11435fb1ce745e78b3ac05ff20bfa28d4d449946d895ca647af0d2eddd11dc2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001760-n000004-0000-2e67dfc0f5611d91.parquet",
-      "sha256": "2e67dfc0f5611d9151dbc60ccfa301286456e9209a075e2565624071bfd29557",
-      "bytes": 134694,
-      "rows": 18,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001760-n000004-0000-821a278fa1448c52.parquet",
-      "sha256": "821a278fa1448c5283575ffb38bea8b156bfb3224451897af19b0b88ca09d030",
-      "bytes": 81425,
-      "rows": 3,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001761.lean\",\"249226414ca260ee8075c0782ca1b6e0aef5a79d3b3e9277d8f49a36a0319e04\",0,\"lean_workbook_plus_63520\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001762.lean\",\"7bfa20bf0338e83b87c760592e221088129e63b5cfaccbd99895c02217a54fbb\",0,\"lean_workbook_32362\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001763.lean\",\"41860616ce87bae79c3bfcc2d6947b8a01e958959193e76bba80bb20776b0f80\",0,\"function_count_two_to_three\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134694,
+      "path": "data/train/p5c/oproofs-s00002-r00001760-n000004-0000-2e67dfc0f5611d91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2e67dfc0f5611d9151dbc60ccfa301286456e9209a075e2565624071bfd29557"
+    },
+    {
+      "bytes": 81425,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00001760-n000004-0000-821a278fa1448c52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "821a278fa1448c5283575ffb38bea8b156bfb3224451897af19b0b88ca09d030"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001764-n000004.json b/manifests/batches/oproofs/s00002-r00001764-n000004.json
index 835494f2c0a03c28871fa333b7dca2891d91b473..004595b00d628811cf3aaaa5ea0c8e96d9d7c702 100644
--- a/manifests/batches/oproofs/s00002-r00001764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001764-n000004",
   "batch_fingerprint": "3f96d99a04a579c9cad2b52b88d068aa8f47eaba12cc517131c58209fb651cdb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001764-n000004-0000-74442b84be684919.parquet",
-      "sha256": "74442b84be6849191c06b7da0162bb26e313ae2633b7b480fd13f37f00871703",
-      "bytes": 580219,
-      "rows": 20,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001764-n000004-0000-bf37e885af365209.parquet",
-      "sha256": "bf37e885af365209270cc56c2350dfed65054e5bac238d464534c500b66fbfba",
-      "bytes": 704600,
-      "rows": 2,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001765.lean\",\"f472ccf05927435c4c5184f645fb5c987cdf891e1f521c9e6b05bcde40ad8537\",0,\"lean_workbook_plus_19696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001766.lean\",\"e7d5a0a03af0d4b223721ddf0df83cd38efbfc1fd2e6b159db097174d7c91e38\",0,\"lean_workbook_41303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001767.lean\",\"5f06b618efc693e77f6b5ce27f9872e98058f652dac60c67aef678e71e6187b4\",0,\"lean_workbook_plus_34517\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 580219,
+      "path": "data/train/pb2/oproofs-s00002-r00001764-n000004-0000-74442b84be684919.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "74442b84be6849191c06b7da0162bb26e313ae2633b7b480fd13f37f00871703"
+    },
+    {
+      "bytes": 704600,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00001764-n000004-0000-bf37e885af365209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bf37e885af365209270cc56c2350dfed65054e5bac238d464534c500b66fbfba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001768-n000004.json b/manifests/batches/oproofs/s00002-r00001768-n000004.json
index f2152c3d901e5552100eb78e49cf790cefd9fde6..5fe60e5d45b1be8a597640db76e15046ad49dd80 100644
--- a/manifests/batches/oproofs/s00002-r00001768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001768-n000004",
   "batch_fingerprint": "2f60f08b53b6ba005585bd6664a92dfae3c6523b0e549f4a773ad20b9804c11c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001768-n000004-0000-4207bcfa259e777a.parquet",
-      "sha256": "4207bcfa259e777a3dd229969d704625240e862ad446fa809817e57104d7b022",
-      "bytes": 337853,
-      "rows": 13,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001769.lean\",\"08d64bc99966f82b397839faf42d7043d9230dd6f1585682a6410a64737f5f7e\",0,\"lean_workbook_plus_66514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001770.lean\",\"bd75844fda57293b17166c16cb2c34c80df64387b05ff0ca70b207f76b5ed4ce\",0,\"lean_workbook_36641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001771.lean\",\"1e6428a4fee9d859086e8f194533e82fbdf0fa028b73b3943aad62ec5a670e14\",0,\"lean_workbook_plus_41709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337853,
+      "path": "data/train/pa0/oproofs-s00002-r00001768-n000004-0000-4207bcfa259e777a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4207bcfa259e777a3dd229969d704625240e862ad446fa809817e57104d7b022"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001772-n000004.json b/manifests/batches/oproofs/s00002-r00001772-n000004.json
index 7ea098b42828d1e503c3ad9afa21fcdca7a9278d..9bffcd2c35572ce09f497de2e8efe045c744b462 100644
--- a/manifests/batches/oproofs/s00002-r00001772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001772-n000004",
   "batch_fingerprint": "ebee4b266b8be42cc68b5a9b29596d9c58200d2e8a7cf5077561b87c621ca923",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001772-n000004-0000-7b29d7ac144b7f07.parquet",
-      "sha256": "7b29d7ac144b7f0726ca0a6bd6a24dbcb1152d66efcf2cc1d3d2c47b576ca0ac",
-      "bytes": 489722,
-      "rows": 25,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001773.lean\",\"49417b32a1aae7b93e06edf0f5f595d51fee2d8c5685e5db644a1be525beac61\",0,\"function_max_value_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001774.lean\",\"4770f50800faa3ea29794cf60076841e9ff017cb3ac9829dc5f1280fb2ad181c\",0,\"lean_workbook_plus_70565\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001775.lean\",\"c4b62ae4dc5ab44b7edd9cbbeed59cf2feec09febe72c9177e46c56cb10233b6\",0,\"function_local_max_property\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 489722,
+      "path": "data/train/pa9/oproofs-s00002-r00001772-n000004-0000-7b29d7ac144b7f07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7b29d7ac144b7f0726ca0a6bd6a24dbcb1152d66efcf2cc1d3d2c47b576ca0ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001776-n000004.json b/manifests/batches/oproofs/s00002-r00001776-n000004.json
index b4c972abd35aadaffdbff1176a3bb81d6e4fb8ce..8acbad707c0f8f5148ebead7796eff64d5482a65 100644
--- a/manifests/batches/oproofs/s00002-r00001776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001776-n000004",
   "batch_fingerprint": "c5416358cf519bbd3af89701ed1a996ba0c3ae2421ef259b09df3aebe92811a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001776-n000004-0000-43b8117059f935be.parquet",
-      "sha256": "43b8117059f935be2ebed228f73e14773f985f9e5fc4ea2c8a4d628bd7144c8a",
-      "bytes": 201210,
-      "rows": 20,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001777.lean\",\"8954d02211aa97d019a23f9dadd5ae88f9fddc1ba8140897cb51d81e80e71562\",0,\"lean_workbook_plus_46442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001778.lean\",\"a2c94636af2d631b69d3d87daf56d9a3aef6f93ebd413dbc1cc2041a8cc1d404\",1,\"unique_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001779.lean\",\"44b55743744e2dd0110b676d61d916daac9629acdd77132f6bd9957bc375efa5\",0,\"lean_workbook_plus_37278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201210,
+      "path": "data/train/p7f/oproofs-s00002-r00001776-n000004-0000-43b8117059f935be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "43b8117059f935be2ebed228f73e14773f985f9e5fc4ea2c8a4d628bd7144c8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001780-n000004.json b/manifests/batches/oproofs/s00002-r00001780-n000004.json
index 1a8948041beffc5c20adb1c9674e752fa5a21688..16f0d62fb495def8f99b8f00b92273b31a337ea6 100644
--- a/manifests/batches/oproofs/s00002-r00001780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001780-n000004",
   "batch_fingerprint": "e97eb81583bf6f99b766bc84b41445314408c43ba884c68e2c7a54de9b376aa8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001780-n000004-0000-691df02c77c206e4.parquet",
-      "sha256": "691df02c77c206e469584896634f3958d2975a1b5c30e751e0299121c163aea3",
-      "bytes": 270701,
-      "rows": 13,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001780-n000004-0000-0fbac172a8feedae.parquet",
-      "sha256": "0fbac172a8feedaee95104a76bec9618b684d9f19da4bbd81a8d2955ccb2c8fd",
-      "bytes": 95901,
-      "rows": 2,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1781",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001781.lean\",\"60851b35b47bfbbe90615f0ac0d1724010e5799e85907725a133fdd023bae3b1\",0,\"lean_workbook_plus_50387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001782.lean\",\"6642a5faf5d3edf8dc0a7547a6cd283aa0188d78fcd98816c74b43887d90b353\",0,\"lean_workbook_plus_16961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001783.lean\",\"8d8e08351a191417b5ab9dc9e5ebf6f237561eb9d74745e648a91ff8d8a4eb42\",0,\"lean_workbook_plus_43021\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270701,
+      "path": "data/train/pa4/oproofs-s00002-r00001780-n000004-0000-691df02c77c206e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "691df02c77c206e469584896634f3958d2975a1b5c30e751e0299121c163aea3"
+    },
+    {
+      "bytes": 95901,
+      "path": "data/internal_test/pa4/oproofs-s00002-r00001780-n000004-0000-0fbac172a8feedae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0fbac172a8feedaee95104a76bec9618b684d9f19da4bbd81a8d2955ccb2c8fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001784-n000004.json b/manifests/batches/oproofs/s00002-r00001784-n000004.json
index 208b921513293acf4ce10e64e6a45efd9a4a38b5..1a7a1200afbd815168008fe121819b3480529f0a 100644
--- a/manifests/batches/oproofs/s00002-r00001784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001784-n000004",
   "batch_fingerprint": "0fb11f5f953f118d0a18f8beb595466a7a0f8ea4f87a357697dfc2462338744e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001784-n000004-0000-ffe996a5ac66c953.parquet",
-      "sha256": "ffe996a5ac66c95301a6f93a9426250445d218b47e54fb6697413a41c368d1b7",
-      "bytes": 470068,
-      "rows": 26,
-      "revision": "eeb94f0f9a2565c48dfb8d448a6859a660adf0f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001785.lean\",\"11475c3fe22c15b7e7f691e971f2e729c9ef14b8afdf4abc3779d9aea005351a\",0,\"lean_workbook_plus_60366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001786.lean\",\"3fe2404fa03fe414017103131f19dcd89cd21c5ab97122a7c77c0b5d6e0e0ecd\",0,\"lean_workbook_plus_62268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001787.lean\",\"f58e4c2b3a36410c5e476457ec8d94764efeea4ada1850a84aa9d971795fb073\",0,\"lean_workbook_plus_59613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470068,
+      "path": "data/train/p42/oproofs-s00002-r00001784-n000004-0000-ffe996a5ac66c953.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "ffe996a5ac66c95301a6f93a9426250445d218b47e54fb6697413a41c368d1b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001788-n000004.json b/manifests/batches/oproofs/s00002-r00001788-n000004.json
index a1656fb95c9b818088be46fef8a19822f38aa60c..a916d47561241cc1cceade4790dad544b2f5dc87 100644
--- a/manifests/batches/oproofs/s00002-r00001788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001788-n000004",
   "batch_fingerprint": "55206ece7f701e63977a4c0af771c80b4ffb6f40d82b1b5df6468cfca31fc4f5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001788-n000004-0000-4fb2ac80d5bf3ec7.parquet",
-      "sha256": "4fb2ac80d5bf3ec7d49dc954e8b386e61435252ed634797682f498cc599bcffe",
-      "bytes": 173594,
-      "rows": 17,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001788-n000004-0000-22131ac12d3c0d50.parquet",
-      "sha256": "22131ac12d3c0d50e5ca03d13c7fb813a18cd0b77380eeb1afc87f6f1b0938db",
-      "bytes": 49643,
-      "rows": 2,
-      "revision": "1ddf068d796b356581894786e0878c371c499f22"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1789",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001789.lean\",\"591c92fd7c068d12a0d4df83f6925aadd3d0d555bc44f28c21827e22abe9276c\",0,\"lean_workbook_plus_31096\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001790.lean\",\"93bb79e64ce1f6d70b04b0f4da79ef808bd8d5baa99c7285cde1da1634a0f1c4\",0,\"lean_workbook_plus_22986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001791.lean\",\"4a681d84fda9c74cf3dd36e979933f8a18b5e52d2341c62a028c5b400deb7ab8\",0,\"lean_workbook_plus_77757\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173594,
+      "path": "data/train/p00/oproofs-s00002-r00001788-n000004-0000-4fb2ac80d5bf3ec7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4fb2ac80d5bf3ec7d49dc954e8b386e61435252ed634797682f498cc599bcffe"
+    },
+    {
+      "bytes": 49643,
+      "path": "data/dev/p00/oproofs-s00002-r00001788-n000004-0000-22131ac12d3c0d50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "22131ac12d3c0d50e5ca03d13c7fb813a18cd0b77380eeb1afc87f6f1b0938db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001792-n000004.json b/manifests/batches/oproofs/s00002-r00001792-n000004.json
index e77c625d5590d6e36ab92985637ba871a47d79bc..caecde512eff359399a50fbb10f36f4362968b1c 100644
--- a/manifests/batches/oproofs/s00002-r00001792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001792-n000004",
   "batch_fingerprint": "bc5a52cf6de0bbb26e5e9220d05b2dc5ccc2bb1ebf2e09f5b2b45c14dafb5773",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001792-n000004-0000-4d32ce34fedc0b75.parquet",
-      "sha256": "4d32ce34fedc0b751ca6f318830e9002ac8855e832b86b6b1bf2de2cc0e98c1a",
-      "bytes": 347967,
-      "rows": 12,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1793",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001792.lean\",\"203684673964515ef934bccac336e685c08c305d2abfbba18e98650da75d45e0\",0,\"lean_workbook_plus_54826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001793.lean\",\"a2f5591740c0be82f61a667ab71c67154c3fd1c0ee5c8e90c492ec7c69e2211d\",0,\"lean_workbook_plus_10087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001794.lean\",\"3f27304a4fb411f7dd4007f6daf02b42be1881009cb6dae92afcc1c4f798b070\",0,\"lean_workbook_plus_48151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347967,
+      "path": "data/train/pfe/oproofs-s00002-r00001792-n000004-0000-4d32ce34fedc0b75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4d32ce34fedc0b751ca6f318830e9002ac8855e832b86b6b1bf2de2cc0e98c1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001796-n000004.json b/manifests/batches/oproofs/s00002-r00001796-n000004.json
index 3ba36b903239fb7f3239ee97e210ae09ffb4a80b..a59d14a02deeff066badf927d63420cc2ace66bd 100644
--- a/manifests/batches/oproofs/s00002-r00001796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001796-n000004",
   "batch_fingerprint": "4c731d95245e3ad6bf9367cbf73570905a3badf93066ca5f60f3357d8e063d4d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001796-n000004-0000-84e4ff109778259a.parquet",
-      "sha256": "84e4ff109778259a0273e6c22c41b99219bbbdfa7e7a7fca2ff4abffa4967ba6",
-      "bytes": 169181,
-      "rows": 16,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001797.lean\",\"6966bd44ed24b70691fca096768edeb04b1155cbc8dc66ea823b074c862be324\",0,\"lean_workbook_plus_38882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001798.lean\",\"e666aa0b040ef0cd2b469b0381ff7beb2b3f6ab3968bcb8e3594dec008867671\",0,\"lean_workbook_plus_43503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001799.lean\",\"8524157ae72c8aac3a291ec212f9f030d8fdc2f5a1760bd44d3ec510efe2e224\",0,\"lean_workbook_plus_44149\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169181,
+      "path": "data/train/pd3/oproofs-s00002-r00001796-n000004-0000-84e4ff109778259a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "84e4ff109778259a0273e6c22c41b99219bbbdfa7e7a7fca2ff4abffa4967ba6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001800-n000004.json b/manifests/batches/oproofs/s00002-r00001800-n000004.json
index 7848e3cc94182d3b9d4c2fd6b770be375fc03fcc..dbcd26be3113fe4c7716bfc046d5b23b4ccbf9ec 100644
--- a/manifests/batches/oproofs/s00002-r00001800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001800-n000004",
   "batch_fingerprint": "50ca9542b686c0c3ccc71478801bd8de6db79a8c1bd3eaf939062b40f1c8f459",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001800-n000004-0000-d704fb9cec13f709.parquet",
-      "sha256": "d704fb9cec13f7099096c64c0293c8daf624f59cc53da4df4ccfc9cd133031c0",
-      "bytes": 98843,
-      "rows": 8,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001800-n000004-0000-bb4446604de0f63c.parquet",
-      "sha256": "bb4446604de0f63cab81e2949be5f9d36d94ba53e0df3ae7b4fd33bf1cbdef37",
-      "bytes": 82804,
-      "rows": 3,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001801.lean\",\"ac8ea89d54df8e241a57bcb1d04cb9e77d09672d15f6102948b45ef952796df6\",0,\"lean_workbook_plus_81914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001802.lean\",\"a44a840d1fed62b15917d151c5a4338dc5e6c3530ff583527d1bba47cf7164f0\",0,\"optimal_question_choice\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001803.lean\",\"e6a0c6e75ac4e4c049409eacfcebb200aec76d2ce942e766c3c07a7d6b7501fa\",0,\"lean_workbook_plus_24440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98843,
+      "path": "data/train/pb1/oproofs-s00002-r00001800-n000004-0000-d704fb9cec13f709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d704fb9cec13f7099096c64c0293c8daf624f59cc53da4df4ccfc9cd133031c0"
+    },
+    {
+      "bytes": 82804,
+      "path": "data/dev/pb1/oproofs-s00002-r00001800-n000004-0000-bb4446604de0f63c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bb4446604de0f63cab81e2949be5f9d36d94ba53e0df3ae7b4fd33bf1cbdef37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001804-n000004.json b/manifests/batches/oproofs/s00002-r00001804-n000004.json
index 8ab26ddfdd61587f07d0be4023d6619bb3b4ae1c..70e913068480d171b01d40f246d6c131ee47afb4 100644
--- a/manifests/batches/oproofs/s00002-r00001804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001804-n000004",
   "batch_fingerprint": "49d380b35eacaf1eacbbafb5bc0af9d312bc722e1fc6c59d7110ae7c5fdbb795",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1804",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1805",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1806",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1807"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001804.lean\",\"0f3a899758eefa4b99b3484989ea04c5c049114242af08763679496e918603fa\",0,\"lean_workbook_plus_73443\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001805.lean\",\"29afa0cd32a628e07624eec203aebac36ff523511d6a4f68de97f996bb79187d\",0,\"lean_workbook_17512\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001806.lean\",\"b5067a751623aeba4bc2319570221ad84409da9447fe8581a25357a31eb948a8\",0,\"lean_workbook_35062\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001807.lean\",\"ad967703029ed1345ad483b18c4a43120047fe3c97c7d60e69debf842b82f3bc\",0,\"lean_workbook_plus_72885\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001804-n000004-0000-409f78dadabb1f39.parquet",
-      "sha256": "409f78dadabb1f39b8c637dcc3b99a4c821e2444730a32536faad7fd046412d5",
       "bytes": 96131,
+      "path": "data/train/p0e/oproofs-s00002-r00001804-n000004-0000-409f78dadabb1f39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "409f78dadabb1f39b8c637dcc3b99a4c821e2444730a32536faad7fd046412d5"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001804-n000004-0000-f4f92f50c915b335.parquet",
-      "sha256": "f4f92f50c915b335e59d0209d3da80891e1dd6108d6240a5d74fa5b71586775e",
       "bytes": 122211,
+      "path": "data/dev/p0e/oproofs-s00002-r00001804-n000004-0000-f4f92f50c915b335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "f4f92f50c915b335e59d0209d3da80891e1dd6108d6240a5d74fa5b71586775e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001804-n000004-0000-f2a4f8980b8d00cf.parquet",
-      "sha256": "f2a4f8980b8d00cf017265ec2048de33b09560b6ae9938452f9409e701dfe1ca",
       "bytes": 84193,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00001804-n000004-0000-f2a4f8980b8d00cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "f2a4f8980b8d00cf017265ec2048de33b09560b6ae9938452f9409e701dfe1ca"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1804",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1805",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1806",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1807"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001804.lean\",\"0f3a899758eefa4b99b3484989ea04c5c049114242af08763679496e918603fa\",0,\"lean_workbook_plus_73443\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001805.lean\",\"29afa0cd32a628e07624eec203aebac36ff523511d6a4f68de97f996bb79187d\",0,\"lean_workbook_17512\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001806.lean\",\"b5067a751623aeba4bc2319570221ad84409da9447fe8581a25357a31eb948a8\",0,\"lean_workbook_35062\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001807.lean\",\"ad967703029ed1345ad483b18c4a43120047fe3c97c7d60e69debf842b82f3bc\",0,\"lean_workbook_plus_72885\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001808-n000004.json b/manifests/batches/oproofs/s00002-r00001808-n000004.json
index 14c3c6a06661f66935f524466bf12e2f5f5ac840..b423411adf4243653c87b1eb04cbfedf711c2df9 100644
--- a/manifests/batches/oproofs/s00002-r00001808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001808-n000004",
   "batch_fingerprint": "b8091911d15851e709d0e7b164ee1b5594101e1df76781a4f29698c338cb5ad8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001808-n000004-0000-ba9e9de1c11970d1.parquet",
-      "sha256": "ba9e9de1c11970d1464d0fa2594688e49f775b04f93687d5cc76e0d25909f04b",
-      "bytes": 206200,
-      "rows": 18,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001809.lean\",\"169a3fd1ea9b8adf2f8766c9397286117b18dde3ee1427c9ff8b4abcd0f92685\",0,\"lean_workbook_plus_20939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001810.lean\",\"c50ba75499ce50a06839343c42b16c0fa48d78dc29dd82c2e0efa5cb8e0d2286\",0,\"lean_workbook_23989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001811.lean\",\"87cff0ffa00c1d67c2b4d62cc5248e207c627eabbfa12a39daf835efa55b13f1\",0,\"lean_workbook_plus_50971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206200,
+      "path": "data/train/p74/oproofs-s00002-r00001808-n000004-0000-ba9e9de1c11970d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ba9e9de1c11970d1464d0fa2594688e49f775b04f93687d5cc76e0d25909f04b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001812-n000004.json b/manifests/batches/oproofs/s00002-r00001812-n000004.json
index 99db6f02812246596ff0efbef73f4608baa5a384..7103c534b55a22fbf5d669a2aa47fcdac6f929c7 100644
--- a/manifests/batches/oproofs/s00002-r00001812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001812-n000004",
   "batch_fingerprint": "14aa77d2d9e0666ca3c60aee3d59badaf5859e562cbbbb555c241e518f9168d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001812-n000004-0000-8a7b8a94dfbcabfb.parquet",
-      "sha256": "8a7b8a94dfbcabfbc9efa9aececfe9da84c41d7eb6d32c449928ad2938912565",
-      "bytes": 79396,
-      "rows": 9,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001812-n000004-0000-8e72e06d4621722a.parquet",
-      "sha256": "8e72e06d4621722a4e0be8cce987f1857fc282834cf60673129724188091aa33",
-      "bytes": 165326,
-      "rows": 6,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001813.lean\",\"5b47938b6dd12a8c6316fb4045bc4738bfe3c61486909a2df314301344e2a7dd\",0,\"lean_workbook_51986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001814.lean\",\"167060ca39546341adfc080f1ca6cae9c5e4e5f9b12d3dd91575ca3687e8e7e9\",0,\"lean_workbook_plus_34231\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001815.lean\",\"6867a3684fd79029b8b1bed10a7fe48052cfb6afaac2a8c87106847fe08eb1f0\",0,\"lean_workbook_plus_14692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79396,
+      "path": "data/train/p09/oproofs-s00002-r00001812-n000004-0000-8a7b8a94dfbcabfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8a7b8a94dfbcabfbc9efa9aececfe9da84c41d7eb6d32c449928ad2938912565"
+    },
+    {
+      "bytes": 165326,
+      "path": "data/dev/p09/oproofs-s00002-r00001812-n000004-0000-8e72e06d4621722a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8e72e06d4621722a4e0be8cce987f1857fc282834cf60673129724188091aa33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001816-n000004.json b/manifests/batches/oproofs/s00002-r00001816-n000004.json
index 16d764ced85e6aec870c7676fc78fb77aa92fe18..aecd98be365ab1a208f771621ef1367f5267cfd0 100644
--- a/manifests/batches/oproofs/s00002-r00001816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001816-n000004",
   "batch_fingerprint": "01dec17be04500e45a365d15169ed7c02362a129cf836da09ad841971e9758ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001816-n000004-0000-5f68b74af003e047.parquet",
-      "sha256": "5f68b74af003e0472a18f867f166fa1abcec84e8b4b5f936d032755c86f50c2c",
-      "bytes": 550447,
-      "rows": 22,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001816-n000004-0001-c138ec61e3a3460c.parquet",
-      "sha256": "c138ec61e3a3460c83327a15116625f79c3591e3383dac16dee30f3b2ea8a79e",
-      "bytes": 318908,
-      "rows": 9,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1817",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001817.lean\",\"4745ec6c4defe86c01b076cf9e5b49e3733cf0aa99edf60342826966ea31fd6d\",0,\"lean_workbook_35326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001818.lean\",\"02f88b945e8fa880754ea17a0e43b7171b24fcec2eed017350ae289a475ae873\",0,\"lean_workbook_plus_79743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001819.lean\",\"a4f35344e4e9fe469d46ffef1fdfe65c54010984588c25addde1afb3f553b65d\",0,\"largest_gcd_sum_1023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 550447,
+      "path": "data/train/p79/oproofs-s00002-r00001816-n000004-0000-5f68b74af003e047.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5f68b74af003e0472a18f867f166fa1abcec84e8b4b5f936d032755c86f50c2c"
+    },
+    {
+      "bytes": 318908,
+      "path": "data/train/p79/oproofs-s00002-r00001816-n000004-0001-c138ec61e3a3460c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c138ec61e3a3460c83327a15116625f79c3591e3383dac16dee30f3b2ea8a79e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001820-n000004.json b/manifests/batches/oproofs/s00002-r00001820-n000004.json
index 7724e42e464c5dc7f19a6fe7a0457ebb05e45a9f..6bb33e61e6d0737308aa9688c2b580d4bdb64e1f 100644
--- a/manifests/batches/oproofs/s00002-r00001820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001820-n000004",
   "batch_fingerprint": "6398fd3f7a9fb8d668b73aadb73052dd326f1990aa223eaad88e3e74d1a0e4f5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001820-n000004-0000-0effc194bed713b9.parquet",
-      "sha256": "0effc194bed713b9418782af04deb878d5d646d00a65593a5fdcc5fb794b3680",
-      "bytes": 255047,
-      "rows": 22,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001821.lean\",\"23df374dd53488c574268dd5edc410181d1d8103c8b71a896dc0bc53dc48379d\",0,\"lean_workbook_plus_46067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001822.lean\",\"386273e95f3c7b5e7d17928a3c2da0bf602430c07360307ee8f46299b7dafe34\",0,\"lean_workbook_plus_61256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001823.lean\",\"af595302e1a9efc2b6463dbe4eec58311a5318ccb64439a790085bb1166895f7\",0,\"number_classification\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255047,
+      "path": "data/train/p1d/oproofs-s00002-r00001820-n000004-0000-0effc194bed713b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0effc194bed713b9418782af04deb878d5d646d00a65593a5fdcc5fb794b3680"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001824-n000004.json b/manifests/batches/oproofs/s00002-r00001824-n000004.json
index 1962e10943acc9e54a0ff47d8683b2567c292a91..2f5713eb09bd865956d7032a8e39fdcb13f33b0e 100644
--- a/manifests/batches/oproofs/s00002-r00001824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001824-n000004",
   "batch_fingerprint": "67391f92a54e1b99b7f2734edcc4438b41322f1d294af86dbf710fba47ce20e8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001824-n000004-0000-9c5ee656947e804e.parquet",
-      "sha256": "9c5ee656947e804e6752d5e1d5bed5431daf640278ab139a841aa264b0e2244f",
-      "bytes": 438090,
-      "rows": 27,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001824-n000004-0000-596a2be8829b7dd4.parquet",
-      "sha256": "596a2be8829b7dd4d311a5804b9c503a634e0eabb6dd2bf276e41c6e76cf89b9",
-      "bytes": 211760,
-      "rows": 9,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001825.lean\",\"6fa7c3d76b709b3e2d6f6f63d5c37c0c147a3edd0fdde89494efa106340ddafc\",0,\"lean_workbook_plus_13107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001826.lean\",\"233ca1ef7918e23ba66d0dee5a6e902eea67eaa6c7c0eda2e77caee3636c6239\",0,\"lean_workbook_plus_66367\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001827.lean\",\"9a52c7471d1661648bac535fb66b0253f36ca0e07cd5066d6acfe4dec3587795\",0,\"lean_workbook_plus_52706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438090,
+      "path": "data/train/pa9/oproofs-s00002-r00001824-n000004-0000-9c5ee656947e804e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9c5ee656947e804e6752d5e1d5bed5431daf640278ab139a841aa264b0e2244f"
+    },
+    {
+      "bytes": 211760,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00001824-n000004-0000-596a2be8829b7dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "596a2be8829b7dd4d311a5804b9c503a634e0eabb6dd2bf276e41c6e76cf89b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001828-n000004.json b/manifests/batches/oproofs/s00002-r00001828-n000004.json
index a64c101e4e0dc39f8a30ac1ef078126831fb9e93..a1afcd3aab482bf2ab3614c551453080bc13bade 100644
--- a/manifests/batches/oproofs/s00002-r00001828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001828-n000004",
   "batch_fingerprint": "ae95fb5cbcc7e8aadbdd2d15f60b229e6fd2da19a58e8b98e8092abcb5b2ea27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001828-n000004-0000-52678e29acb725ea.parquet",
-      "sha256": "52678e29acb725eac81f143e075b59e15fd83e085737a3cd8f253c4839c168ad",
-      "bytes": 352809,
-      "rows": 16,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001828-n000004-0000-752f4b0d7391c9aa.parquet",
-      "sha256": "752f4b0d7391c9aa97ff68b166af666658e073f3e7366d025a172821ddd5e279",
-      "bytes": 66907,
-      "rows": 2,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001829.lean\",\"77ed2d99472fbeae1c1e840b4b24cd32edda86e6a9ce6486ef168f76ff93f12f\",0,\"lean_workbook_plus_57693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001830.lean\",\"536945bf8422b78d42ddf817bb7c40aa778278d2ecdcc3246c907b6332456185\",0,\"lean_workbook_plus_31319\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001831.lean\",\"3df5529f3f34780dc8b3ee8a2207bfb72f05e5167efa18adf588d682e9ee1d90\",0,\"lean_workbook_plus_15709\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352809,
+      "path": "data/train/pa2/oproofs-s00002-r00001828-n000004-0000-52678e29acb725ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "52678e29acb725eac81f143e075b59e15fd83e085737a3cd8f253c4839c168ad"
+    },
+    {
+      "bytes": 66907,
+      "path": "data/internal_test/pa2/oproofs-s00002-r00001828-n000004-0000-752f4b0d7391c9aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "752f4b0d7391c9aa97ff68b166af666658e073f3e7366d025a172821ddd5e279"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001832-n000004.json b/manifests/batches/oproofs/s00002-r00001832-n000004.json
index acf0f8ad44e97d8522bf081493bd2bf26dc91da2..cd45496385b43682fa05e8f65c006441a3888016 100644
--- a/manifests/batches/oproofs/s00002-r00001832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001832-n000004",
   "batch_fingerprint": "4fc99a786dc299e019dcb070375574dafbfaf2ef709469d8d6f46d13c54c4133",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/oproofs-s00002-r00001832-n000004-0000-f6ef41eeb852e6f9.parquet",
-      "sha256": "f6ef41eeb852e6f9cd0109c058c6988506dff374a5eb0229119e7e625f9267be",
-      "bytes": 67973,
-      "rows": 5,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001832-n000004-0000-2b9f5c00a5b9e54d.parquet",
-      "sha256": "2b9f5c00a5b9e54d37548e2d80a144e4e90e73d4e59d8bcd20a418fad319c3c1",
-      "bytes": 245356,
-      "rows": 21,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1833",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001833.lean\",\"4d6c5d3fd9d18e66273b08246972b3f4707e321f961f7b2a5a49f80664b39f2f\",0,\"lean_workbook_plus_37999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001834.lean\",\"d799178f0178079ee523d21b421980d53184b69be4a6dd774b28a0e6106971bf\",0,\"lean_workbook_plus_79809\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001835.lean\",\"cd8b5273e76a030647f8875df8802e0ba29846ecd506e731b4d75874bbbf3301\",0,\"lean_workbook_26836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67973,
+      "path": "data/dev/pe5/oproofs-s00002-r00001832-n000004-0000-f6ef41eeb852e6f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f6ef41eeb852e6f9cd0109c058c6988506dff374a5eb0229119e7e625f9267be"
+    },
+    {
+      "bytes": 245356,
+      "path": "data/internal_test/pe5/oproofs-s00002-r00001832-n000004-0000-2b9f5c00a5b9e54d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2b9f5c00a5b9e54d37548e2d80a144e4e90e73d4e59d8bcd20a418fad319c3c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001836-n000004.json b/manifests/batches/oproofs/s00002-r00001836-n000004.json
index 6fd76082d6552c1e15adb1dfbd4f916c97afa33b..cd0bccb036c963d65769b7d6d4d1eb3c5c18aad4 100644
--- a/manifests/batches/oproofs/s00002-r00001836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001836-n000004",
   "batch_fingerprint": "43e81e051761fda25b1cab2e0e3b10f2a2c97bc5e0d31e1a66861185efae1748",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001836-n000004-0000-82d0ff77b47741e8.parquet",
-      "sha256": "82d0ff77b47741e858842a1bee72bbb8ff78f89ecf29d812d52665cfdebc754f",
-      "bytes": 541656,
-      "rows": 10,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001836-n000004-0000-7de006908cdaf7e0.parquet",
-      "sha256": "7de006908cdaf7e0eacbd7ce82fcd8bef29ddb8c23bb29fa8356ed7a82a7ccc1",
-      "bytes": 43965,
-      "rows": 4,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001837.lean\",\"509bb582905a9b69a7dc241be755129520236850577500ac33f7b55f794111ce\",0,\"lean_workbook_plus_82513\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001838.lean\",\"466ec18d4097b92a7f08e2563e7748415111bf0a760c6ced1ea4671775203120\",0,\"lean_workbook_plus_42311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001839.lean\",\"ca2b3e15854136545b7b6a637258f80c77b30fe84755a3c295c0f6b46f1cfc87\",0,\"ellipse_max_value_limit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541656,
+      "path": "data/train/pdd/oproofs-s00002-r00001836-n000004-0000-82d0ff77b47741e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "82d0ff77b47741e858842a1bee72bbb8ff78f89ecf29d812d52665cfdebc754f"
+    },
+    {
+      "bytes": 43965,
+      "path": "data/dev/pdd/oproofs-s00002-r00001836-n000004-0000-7de006908cdaf7e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7de006908cdaf7e0eacbd7ce82fcd8bef29ddb8c23bb29fa8356ed7a82a7ccc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001840-n000004.json b/manifests/batches/oproofs/s00002-r00001840-n000004.json
index ee6a3407b25bff30b08377bbf7d956df22a51639..1540cb377c7eb1bbfd9ce71e28438a4deb67642b 100644
--- a/manifests/batches/oproofs/s00002-r00001840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001840-n000004",
   "batch_fingerprint": "21b2d97421a2310cc01053362293040d3064a55d762e51e2d2392042891fbd26",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1840",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1841",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1842",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1843"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001840.lean\",\"c4dc88911eb68bd899cb0698040bf51293c1689955cc18368bd816f57f081db8\",0,\"lean_workbook_28141\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001841.lean\",\"6f44583bb1b5acbd9a14eeac6aa16a8e3e86c0a9401a1ab8e10fba8870cf2614\",0,\"lean_workbook_plus_76638\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001842.lean\",\"bca66cf1bdc0bea52ec788afe9b38c9a67631d9af074479235bab06dd3fbc258\",0,\"lean_workbook_plus_1409\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001843.lean\",\"a3c01ac218970a80d56c768da861fb7d7ecac46642cd5d00ff294937349d7211\",0,\"lean_workbook_plus_65609\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001840-n000004-0000-6191f686d5afd206.parquet",
-      "sha256": "6191f686d5afd206867971cb54e78f3f565e7f9d386945fd29cd2dc4310fef62",
       "bytes": 127646,
+      "path": "data/train/p64/oproofs-s00002-r00001840-n000004-0000-6191f686d5afd206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "6191f686d5afd206867971cb54e78f3f565e7f9d386945fd29cd2dc4310fef62"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001840-n000004-0000-6aa3929eedad89b6.parquet",
-      "sha256": "6aa3929eedad89b652add0aa11f07602565ada85a650a160d9259ea2f3801ed9",
       "bytes": 175169,
+      "path": "data/dev/p64/oproofs-s00002-r00001840-n000004-0000-6aa3929eedad89b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "6aa3929eedad89b652add0aa11f07602565ada85a650a160d9259ea2f3801ed9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001840-n000004-0000-ee10dbce157d956a.parquet",
-      "sha256": "ee10dbce157d956af3ce843d3fb7f5d2368d01a7fa9088213267f084108f8022",
       "bytes": 132299,
+      "path": "data/internal_test/p64/oproofs-s00002-r00001840-n000004-0000-ee10dbce157d956a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "ee10dbce157d956af3ce843d3fb7f5d2368d01a7fa9088213267f084108f8022"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1840",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1841",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1842",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1843"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001840.lean\",\"c4dc88911eb68bd899cb0698040bf51293c1689955cc18368bd816f57f081db8\",0,\"lean_workbook_28141\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001841.lean\",\"6f44583bb1b5acbd9a14eeac6aa16a8e3e86c0a9401a1ab8e10fba8870cf2614\",0,\"lean_workbook_plus_76638\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001842.lean\",\"bca66cf1bdc0bea52ec788afe9b38c9a67631d9af074479235bab06dd3fbc258\",0,\"lean_workbook_plus_1409\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001843.lean\",\"a3c01ac218970a80d56c768da861fb7d7ecac46642cd5d00ff294937349d7211\",0,\"lean_workbook_plus_65609\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001844-n000004.json b/manifests/batches/oproofs/s00002-r00001844-n000004.json
index 5dcff4b19f1a0e77386875022665a13507e8b426..43b71ba9c86fae8494a629bc40ab9392199e5fa3 100644
--- a/manifests/batches/oproofs/s00002-r00001844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001844-n000004",
   "batch_fingerprint": "c3c96131acca1149cbd91f626a85fddda8b1da7c48a1ddeb738937856d70f20c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001844-n000004-0000-8e1260f6d4a53fe6.parquet",
-      "sha256": "8e1260f6d4a53fe6b1e027e736e5559100076280ba633b84434dc1b9233e6e52",
-      "bytes": 165120,
-      "rows": 24,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1845",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001845.lean\",\"5affa6044ae77f4540aaf28d9fc39003db4f7f9333b93f7cc8caad1d933c0cb3\",0,\"lean_workbook_32362\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001846.lean\",\"a54dfeb9b3818eaecb7fc53e3cc221533041510ebabd31e21f8f281b34d68ad1\",0,\"lean_workbook_42994\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001847.lean\",\"04f0f98cb55f4373064b0effe74bea4472cb74585976accc55f26edc15799184\",0,\"function_count_two_to_three\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165120,
+      "path": "data/train/pc9/oproofs-s00002-r00001844-n000004-0000-8e1260f6d4a53fe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8e1260f6d4a53fe6b1e027e736e5559100076280ba633b84434dc1b9233e6e52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001848-n000004.json b/manifests/batches/oproofs/s00002-r00001848-n000004.json
index b6b2b7416046b967a62edbb9e88a59e70a7b49ef..3db40109deeba44f92513c0612fffd8c6da81689 100644
--- a/manifests/batches/oproofs/s00002-r00001848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001848-n000004",
   "batch_fingerprint": "938f2f02b4892286d1adaeeafa114a5b0641d09cc7b7f2afffa6a3f2e0a04eca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001848-n000004-0000-09748ac18f3f5b9a.parquet",
-      "sha256": "09748ac18f3f5b9a803b84ce4e11d01a4e2dbf761df6b45cbfbc0b32cb2f7a2b",
-      "bytes": 308405,
-      "rows": 20,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001849.lean\",\"832b1fdfc437491240b786dd39f3f0cc239906eec06039d86d1f552860f5fb32\",0,\"lean_workbook_41303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001850.lean\",\"093420dcddf2ab148b013c1e8fd5136ad2f82aa69c4a7501cf351be26aa9cbb7\",0,\"lean_workbook_19671\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001851.lean\",\"631073b867e062cf203ecb59a56a041ecca35094526b5834e554146872eddc5d\",0,\"lean_workbook_36641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308405,
+      "path": "data/train/p04/oproofs-s00002-r00001848-n000004-0000-09748ac18f3f5b9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "09748ac18f3f5b9a803b84ce4e11d01a4e2dbf761df6b45cbfbc0b32cb2f7a2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001852-n000004.json b/manifests/batches/oproofs/s00002-r00001852-n000004.json
index 8e8f03152c68b29b9d4b4a25ae36259fb50b24a8..beac84e498965dba0b420052684ba3a78efce926 100644
--- a/manifests/batches/oproofs/s00002-r00001852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001852-n000004",
   "batch_fingerprint": "3e9dffcc066c412484a0bfe73d543852156b940c1dfc859f32429e4ba08bbfb3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001852-n000004-0000-a75b20bc1df5d850.parquet",
-      "sha256": "a75b20bc1df5d85058744dc4a7f899565ed4fdd72dadea5c234833433b86fea2",
-      "bytes": 494558,
-      "rows": 15,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1853",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001853.lean\",\"191b6682dd3bb32fd322a62dcdfc5b0661d8d05e4ee24a40b91bbcab09335f25\",0,\"neg_2839_mod_10\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001854.lean\",\"9bc7b3960b662e43b3dbd7dc1ffa327690c946aa586f75f9ad223a6861f22d21\",0,\"lean_workbook_plus_36006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001855.lean\",\"c21b83a517b1e063f96dc4c1425c57787a68a5d4541c60f4c18c945c80a40ca9\",0,\"lean_workbook_plus_70565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 494558,
+      "path": "data/train/p9e/oproofs-s00002-r00001852-n000004-0000-a75b20bc1df5d850.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a75b20bc1df5d85058744dc4a7f899565ed4fdd72dadea5c234833433b86fea2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001856-n000004.json b/manifests/batches/oproofs/s00002-r00001856-n000004.json
index 126165034a71e18601b764839dcba6cb04d61784..eb96c6c9523d204b6d5a584c1b129fcebb8969bd 100644
--- a/manifests/batches/oproofs/s00002-r00001856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001856-n000004",
   "batch_fingerprint": "cda18913ff04b5e161b685231b618f9f649b499915d3e246cfef1d286190daab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001856-n000004-0000-919c8321a85cef0b.parquet",
-      "sha256": "919c8321a85cef0bfc4da7bd3d0bfa75979ce7e3a50e17c640509a8af2f0cf9a",
-      "bytes": 303941,
-      "rows": 16,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001856-n000004-0000-450e08d334312524.parquet",
-      "sha256": "450e08d3343125242d5e0c76f6a81c8c91583a85d9f0c87bf22d86ca54d43700",
-      "bytes": 105608,
-      "rows": 8,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1857",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001857.lean\",\"92d789db7053552000edac60b8808922d6f07f5a9f01d3d4af20fb035ad9e588\",0,\"lean_workbook_plus_41709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001858.lean\",\"849d76d430d55945613689d02e7805ab2fe82fda27e4e45e884c15942325a0de\",0,\"lean_workbook_plus_54016\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001859.lean\",\"5ce4caef3f194df8af6a296dfb8e91dd83745dcfcd9cd6ae0ed4e148f23db855\",0,\"lean_workbook_plus_50387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303941,
+      "path": "data/train/p67/oproofs-s00002-r00001856-n000004-0000-919c8321a85cef0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "919c8321a85cef0bfc4da7bd3d0bfa75979ce7e3a50e17c640509a8af2f0cf9a"
+    },
+    {
+      "bytes": 105608,
+      "path": "data/internal_test/p67/oproofs-s00002-r00001856-n000004-0000-450e08d334312524.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "450e08d3343125242d5e0c76f6a81c8c91583a85d9f0c87bf22d86ca54d43700"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001860-n000004.json b/manifests/batches/oproofs/s00002-r00001860-n000004.json
index 8aefac19b2d6296730707879456c6a61f09c082f..7b6a95910be71ad3dceabc7217ab172fcbecbcb2 100644
--- a/manifests/batches/oproofs/s00002-r00001860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001860-n000004",
   "batch_fingerprint": "031ba9f8b95014037a11df2272be14d9fb7ab6d2059bb101d04f14b7c926ec48",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1860",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1861",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1862",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1863"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001860.lean\",\"db51d414ab17ac51d97bd41e0e734118a5a6a60906c1fce07c712a3b636d35ae\",0,\"lean_workbook_plus_37278\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001861.lean\",\"1586e359fedbca6bec8b9abba3676e7c0379eb94d8e4666c45052388f470ebb6\",0,\"lean_workbook_45460\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001862.lean\",\"d357856dbbb2ce8ed90a269362b109c89bc89c071159357fedd1e9e196191ff8\",0,\"matrix_equation_solution\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001863.lean\",\"2c2949483a340b67857630f4ddbee952686bb76520b06a00d5c41f01759c9f86\",0,\"lean_workbook_plus_8177\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001860-n000004-0000-5149527c6068e26d.parquet",
-      "sha256": "5149527c6068e26d950d41c5774efd912ded7b57e84ce616d08580c5e509d2c9",
       "bytes": 1408177,
+      "path": "data/train/pb4/oproofs-s00002-r00001860-n000004-0000-5149527c6068e26d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
+      "sha256": "5149527c6068e26d950d41c5774efd912ded7b57e84ce616d08580c5e509d2c9"
     },
     {
-      "path": "data/train/oproofs-s00002-r00001860-n000004-0001-63486885826bd003.parquet",
-      "sha256": "63486885826bd003e8e76637e7f09782b9801b09baf28a969dc637a635bb827d",
       "bytes": 67169,
+      "path": "data/train/pb4/oproofs-s00002-r00001860-n000004-0001-63486885826bd003.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
+      "sha256": "63486885826bd003e8e76637e7f09782b9801b09baf28a969dc637a635bb827d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001860-n000004-0000-868430d183330b91.parquet",
-      "sha256": "868430d183330b91e7c631bbedd74fe29ad95fca4c7f243e12acb207bebff52d",
       "bytes": 38896,
+      "path": "data/dev/pb4/oproofs-s00002-r00001860-n000004-0000-868430d183330b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
+      "sha256": "868430d183330b91e7c631bbedd74fe29ad95fca4c7f243e12acb207bebff52d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1860",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1861",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1862",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1863"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001860.lean\",\"db51d414ab17ac51d97bd41e0e734118a5a6a60906c1fce07c712a3b636d35ae\",0,\"lean_workbook_plus_37278\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001861.lean\",\"1586e359fedbca6bec8b9abba3676e7c0379eb94d8e4666c45052388f470ebb6\",0,\"lean_workbook_45460\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001862.lean\",\"d357856dbbb2ce8ed90a269362b109c89bc89c071159357fedd1e9e196191ff8\",0,\"matrix_equation_solution\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001863.lean\",\"2c2949483a340b67857630f4ddbee952686bb76520b06a00d5c41f01759c9f86\",0,\"lean_workbook_plus_8177\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001864-n000004.json b/manifests/batches/oproofs/s00002-r00001864-n000004.json
index 56202ec28354a84798a44bd41f96117a9de9995c..b99ccd1c0a4287fbeae19e7746999103b4929829 100644
--- a/manifests/batches/oproofs/s00002-r00001864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001864-n000004",
   "batch_fingerprint": "7a86cb993f754ab73fc29f3cf954d63ef98b9fa37bf80109ff618a6ca2fd5228",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001864-n000004-0000-968746a82f770b93.parquet",
-      "sha256": "968746a82f770b93763c0bd328c45f71bae1dc857de39660de54578ff7382b50",
-      "bytes": 1252247,
-      "rows": 14,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001864-n000004-0001-5e0d7532a3e0a2a2.parquet",
-      "sha256": "5e0d7532a3e0a2a2333675365b567dfa018e65a0826d85d1f2059dd2e3b36450",
-      "bytes": 157267,
-      "rows": 11,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001865.lean\",\"e367e0812fa0acbf0dbfce1050dd2bd37c95e595bb448d9fd730a652e30bc91f\",0,\"lean_workbook_plus_69947\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001866.lean\",\"66ce7c0711ec9139e73210bb57d54cc081b1ee52ea86ce8ded0364f58e840460\",0,\"lean_workbook_plus_62268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001867.lean\",\"809461600910020cad3da35d6692c12cb85ab4e786c961791b8c8d1c81f7d5ad\",0,\"lean_workbook_plus_60366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1252247,
+      "path": "data/train/pd5/oproofs-s00002-r00001864-n000004-0000-968746a82f770b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "968746a82f770b93763c0bd328c45f71bae1dc857de39660de54578ff7382b50"
+    },
+    {
+      "bytes": 157267,
+      "path": "data/train/pd5/oproofs-s00002-r00001864-n000004-0001-5e0d7532a3e0a2a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5e0d7532a3e0a2a2333675365b567dfa018e65a0826d85d1f2059dd2e3b36450"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001868-n000004.json b/manifests/batches/oproofs/s00002-r00001868-n000004.json
index e28141db0619ae7b390904ae848c6990b6e5217b..621c8937d05e96f469b248df0bd17604f59b5037 100644
--- a/manifests/batches/oproofs/s00002-r00001868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001868-n000004",
   "batch_fingerprint": "80f50da6cfb13a0abf3454cb2fdd9a711faaaa2efecb2fa9dfdea0011d479309",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001868-n000004-0000-065532473a29bcfb.parquet",
-      "sha256": "065532473a29bcfb46044aa904df5652b074b6ed7a5bab8db0005cf805f1eb2c",
-      "bytes": 304702,
-      "rows": 16,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001868-n000004-0000-53473f7c73436772.parquet",
-      "sha256": "53473f7c73436772ec6b1af7cd26471fb184debbc47f6d1ce31761fee17f8fa5",
-      "bytes": 49672,
-      "rows": 2,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1869",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001869.lean\",\"7182063f493b94ca22e08ab25a21f3f4b64610476bf528b273ea954147e713f2\",0,\"lean_workbook_plus_16961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001870.lean\",\"2b1e32261414857f5a6a23c3feda122d1915836a3353ff4be817dc84bbc330d4\",0,\"lean_workbook_plus_27078\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001871.lean\",\"e0dac75d1d93a6c971415517c073c3dd410ab0987d1224904de315b16799ae85\",0,\"lean_workbook_plus_31096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304702,
+      "path": "data/train/p73/oproofs-s00002-r00001868-n000004-0000-065532473a29bcfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "065532473a29bcfb46044aa904df5652b074b6ed7a5bab8db0005cf805f1eb2c"
+    },
+    {
+      "bytes": 49672,
+      "path": "data/dev/p73/oproofs-s00002-r00001868-n000004-0000-53473f7c73436772.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "53473f7c73436772ec6b1af7cd26471fb184debbc47f6d1ce31761fee17f8fa5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001872-n000004.json b/manifests/batches/oproofs/s00002-r00001872-n000004.json
index 456a1ccebb05269b75acf56970913c3ef97915c5..5ad8e8d54d4112df56d382ac105abc31318f49a5 100644
--- a/manifests/batches/oproofs/s00002-r00001872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001872-n000004",
   "batch_fingerprint": "dc83ba466a85f2066a64e23300b43fc0d7320cea19b0b3d4f695cb41baab56ec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001872-n000004-0000-4a7781efac9569af.parquet",
-      "sha256": "4a7781efac9569af8d6faeedb38eec13e6010860a144ff0fbf78c0b3d9a3eb3c",
-      "bytes": 149674,
-      "rows": 15,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001873.lean\",\"d163f321c1b481d1560918b37cd555648a21c365b8bf4e2c2a8f1461a077cab6\",0,\"lean_workbook_plus_18410\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001874.lean\",\"55e85218563186827a5dbee7034edcf5a4e7534f404475ef91292d9441bf1aac\",0,\"lean_workbook_plus_22986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001875.lean\",\"81500451d1ce7a7316c8fb3e066a71e4d1e9afb918465150a8fa2fa1dc40ecef\",0,\"lean_workbook_plus_77757\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149674,
+      "path": "data/train/pb0/oproofs-s00002-r00001872-n000004-0000-4a7781efac9569af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4a7781efac9569af8d6faeedb38eec13e6010860a144ff0fbf78c0b3d9a3eb3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001876-n000004.json b/manifests/batches/oproofs/s00002-r00001876-n000004.json
index 684622ca292f8a16c25cfbbe40e10caa84e1df27..79585a0a98b0c07d7914f9aca6d241e28f8d9d64 100644
--- a/manifests/batches/oproofs/s00002-r00001876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001876-n000004",
   "batch_fingerprint": "74b55bb6e17322c6fc098a737bc0fbefad5dde705ea1384e7e42eb69eb7b1cb6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001876-n000004-0000-dd50194ab0f98050.parquet",
-      "sha256": "dd50194ab0f980508f536a19f4c87cf1d79bbd3a97decfd3db244df563007416",
-      "bytes": 406367,
-      "rows": 22,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1877",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001877.lean\",\"987a085ea96ccd88264835dca22c59bfeb251796bd09918c3d24e85b65e52875\",0,\"lean_workbook_plus_64448\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001878.lean\",\"1462f3e643ce172db6971d61f5b417713d2adc9959d5665a70a7acdbd537eebd\",0,\"lean_workbook_plus_43503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001879.lean\",\"72fdd2c0bea394f5b8bd30e418852e971032905a353e484571eea5994ec24ee0\",0,\"lean_workbook_plus_38882\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406367,
+      "path": "data/train/p1b/oproofs-s00002-r00001876-n000004-0000-dd50194ab0f98050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "dd50194ab0f980508f536a19f4c87cf1d79bbd3a97decfd3db244df563007416"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001880-n000004.json b/manifests/batches/oproofs/s00002-r00001880-n000004.json
index dc7f5b9c1921aa5881e3eb17e40a3f19d0e7acd7..609e2f7dcb243c6234d0036585faf8a1753fbdb7 100644
--- a/manifests/batches/oproofs/s00002-r00001880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001880-n000004",
   "batch_fingerprint": "4ef0a516ba31507ebf0a6918eb2fd280fe7a94d9500ac0f31418a34ef6e91ff0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001880-n000004-0000-48616e5378fc13f5.parquet",
-      "sha256": "48616e5378fc13f5cd0a4e1fb6da4c86e84bd531deaed084bbcca2d358eb072d",
-      "bytes": 212984,
-      "rows": 20,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1881",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001881.lean\",\"add54bd3185eac4d7e86d1ad3ca4ad28f345e8188315d88aebd9844bd9ee5318\",0,\"lean_workbook_plus_81914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001882.lean\",\"a27577dfbf229595ebdd118501f4af5550db3ed6e4c3d49ec203ba42a142388a\",0,\"lean_workbook_2961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001883.lean\",\"789f0425b3e077d840177f6cc9ce3620285dfdf9978fe8363a49fdc2d38f3b89\",0,\"optimal_question_choice\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212984,
+      "path": "data/train/p9d/oproofs-s00002-r00001880-n000004-0000-48616e5378fc13f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "48616e5378fc13f5cd0a4e1fb6da4c86e84bd531deaed084bbcca2d358eb072d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001884-n000004.json b/manifests/batches/oproofs/s00002-r00001884-n000004.json
index 083369101d4ebefd361a794f0a454e6ea9fbab5f..2491b9a071ce77f427df2190b627b70ff3e7c547 100644
--- a/manifests/batches/oproofs/s00002-r00001884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001884-n000004",
   "batch_fingerprint": "bb9780f6c8fd7d03c7d5bec74084b39fe53dcb0f8dcdf4db44bff95ef3fc5253",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1884",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1885",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1886",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1887"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001884.lean\",\"33472cbb895af66e0246ff24d7e1a7d5bc93d96a0576b65e2468b1d7d0fc83bb\",0,\"lean_workbook_plus_24440\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001885.lean\",\"6de82c4bf69a12fbab66114f79a0342d20e073540d173de33783766046a908d5\",0,\"lean_workbook_plus_73443\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001886.lean\",\"13f7ccff58c44f58e6e1ae584157094a33bbdd676abfdd18cb79fae79c6a533b\",0,\"lean_workbook_17512\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001887.lean\",\"0d4e90f64d4570e12a280a71c68ccafc318e240223d2c6da052f0746a87c5feb\",0,\"lean_workbook_plus_56663\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001884-n000004-0000-9cc341083ffa887b.parquet",
-      "sha256": "9cc341083ffa887b3964fae90e8810094cf6679fcb06168fc516a2abd85c9923",
       "bytes": 97759,
+      "path": "data/train/pd5/oproofs-s00002-r00001884-n000004-0000-9cc341083ffa887b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "9cc341083ffa887b3964fae90e8810094cf6679fcb06168fc516a2abd85c9923"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001884-n000004-0000-00d9fafe27504ea6.parquet",
-      "sha256": "00d9fafe27504ea68a5192688951591229f294bf89d031a12c15ee828786194f",
       "bytes": 75058,
+      "path": "data/dev/pd5/oproofs-s00002-r00001884-n000004-0000-00d9fafe27504ea6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "00d9fafe27504ea68a5192688951591229f294bf89d031a12c15ee828786194f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001884-n000004-0000-5ab2a180724f4715.parquet",
-      "sha256": "5ab2a180724f47159401a2656f3cf3cc9b91e111a4684b416f4365630b5e632b",
       "bytes": 72191,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00001884-n000004-0000-5ab2a180724f4715.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "5ab2a180724f47159401a2656f3cf3cc9b91e111a4684b416f4365630b5e632b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1884",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1885",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1886",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1887"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001884.lean\",\"33472cbb895af66e0246ff24d7e1a7d5bc93d96a0576b65e2468b1d7d0fc83bb\",0,\"lean_workbook_plus_24440\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001885.lean\",\"6de82c4bf69a12fbab66114f79a0342d20e073540d173de33783766046a908d5\",0,\"lean_workbook_plus_73443\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001886.lean\",\"13f7ccff58c44f58e6e1ae584157094a33bbdd676abfdd18cb79fae79c6a533b\",0,\"lean_workbook_17512\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001887.lean\",\"0d4e90f64d4570e12a280a71c68ccafc318e240223d2c6da052f0746a87c5feb\",0,\"lean_workbook_plus_56663\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001888-n000004.json b/manifests/batches/oproofs/s00002-r00001888-n000004.json
index ff5b8a353c144de0ba9f13fd2ade9bb5ad4fde81..2a9b2822282c794fca3f5700080fabfd8cafbf24 100644
--- a/manifests/batches/oproofs/s00002-r00001888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001888-n000004",
   "batch_fingerprint": "87f1c4bce91545c84706e95616b2c43a11a8e7d5a7faedb5edc4972d5a48ad37",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001888-n000004-0000-c0bf734004ab17ba.parquet",
-      "sha256": "c0bf734004ab17bacefd3407192842122df1bfa4f687d5ab798b30ebd01fb664",
-      "bytes": 120285,
-      "rows": 12,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001888-n000004-0000-98145c52d6d94002.parquet",
-      "sha256": "98145c52d6d940023e1d79c7c9ebc220f77d9009d323d621cd23f5dd993bf373",
-      "bytes": 63253,
-      "rows": 2,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001889.lean\",\"cde353fe6294ee212dfdbd1f67d81551419f30ab51b9eae81cb8bb378314e13d\",0,\"lean_workbook_23989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001890.lean\",\"33315aed80b1ef924542358b17e4e8b47e73df418b99739ddca2245e1669defc\",0,\"lean_workbook_plus_36825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001891.lean\",\"cec40bba10293ccd35f1ac1e69642446a1c19155d89ee4767ba9c6ef98bf3edb\",0,\"lean_workbook_plus_75872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120285,
+      "path": "data/train/p55/oproofs-s00002-r00001888-n000004-0000-c0bf734004ab17ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c0bf734004ab17bacefd3407192842122df1bfa4f687d5ab798b30ebd01fb664"
+    },
+    {
+      "bytes": 63253,
+      "path": "data/internal_test/p55/oproofs-s00002-r00001888-n000004-0000-98145c52d6d94002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "98145c52d6d940023e1d79c7c9ebc220f77d9009d323d621cd23f5dd993bf373"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001892-n000004.json b/manifests/batches/oproofs/s00002-r00001892-n000004.json
index 9e7d4bf9ef954f9c5a40bc26faa89cf6085a1a02..6a4bf3f5bd5d1109af78174d0000525c946ff065 100644
--- a/manifests/batches/oproofs/s00002-r00001892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001892-n000004",
   "batch_fingerprint": "468ad57e84f94a84badc90d54c417394edae8a31f404aa9aecc9cdd742058278",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001892-n000004-0000-7f22e8e9137a4cf5.parquet",
-      "sha256": "7f22e8e9137a4cf590382c064f2807d4860ce664bef19f67cf5f5c03d369620d",
-      "bytes": 346218,
-      "rows": 25,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001893.lean\",\"35c386c9fe05583b9452121886256684f1a477f446e32ec206b2f567651d04cc\",0,\"lean_workbook_plus_14692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001894.lean\",\"b604ec06af772a117063699d3ce880a3a4714beb02730387b7c81a1b78e2b3f4\",0,\"lean_workbook_34693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001895.lean\",\"723a6d21590311ceaa40330f88be79b568b1aff16aa68671ac5fb7a33f12a31b\",0,\"lean_workbook_51781\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346218,
+      "path": "data/train/pc1/oproofs-s00002-r00001892-n000004-0000-7f22e8e9137a4cf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7f22e8e9137a4cf590382c064f2807d4860ce664bef19f67cf5f5c03d369620d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001896-n000004.json b/manifests/batches/oproofs/s00002-r00001896-n000004.json
index 2b792e6b773bf2632f76255a046c542e4b14e794..76e00d14f96a3d2c3e9a3ff7ef7f9ce7793bef6c 100644
--- a/manifests/batches/oproofs/s00002-r00001896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001896-n000004",
   "batch_fingerprint": "17e4572c6b0f8f26ad9089ec7acdbf44d7ae9eb3a8cc9131da2aa1589feceba2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001896-n000004-0000-c1c2cffd21e640e5.parquet",
-      "sha256": "c1c2cffd21e640e53afe80f564e999eceab74b4d3b55a59649398b26c863327d",
-      "bytes": 147842,
-      "rows": 12,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001896-n000004-0000-5d75fffed8782711.parquet",
-      "sha256": "5d75fffed87827117cfbd7360ce2b57fddeee410ec24ed37c1355aefa86d8f09",
-      "bytes": 135404,
-      "rows": 6,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001897.lean\",\"987bebd9145f0fdc6144214ab40a9ff15bcc954255afe08d67db42add35a8147\",0,\"largest_gcd_sum_1023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001898.lean\",\"474072280a912f375c907d0116863f1ec9876ce511447af42a5d96f90d07d38f\",0,\"lean_workbook_plus_61256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001899.lean\",\"708f595c15e9ede80c1433eeaa35e806872f64f89a2b4a4304318234171bb797\",0,\"lean_workbook_plus_46067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147842,
+      "path": "data/train/pe4/oproofs-s00002-r00001896-n000004-0000-c1c2cffd21e640e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c1c2cffd21e640e53afe80f564e999eceab74b4d3b55a59649398b26c863327d"
+    },
+    {
+      "bytes": 135404,
+      "path": "data/dev/pe4/oproofs-s00002-r00001896-n000004-0000-5d75fffed8782711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5d75fffed87827117cfbd7360ce2b57fddeee410ec24ed37c1355aefa86d8f09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001900-n000004.json b/manifests/batches/oproofs/s00002-r00001900-n000004.json
index e84c63c31c6c8c0563c0ffacbd72dcf0ac31ebf4..dcdb7fced6142354bf5f210b2bb6dd34c11f9755 100644
--- a/manifests/batches/oproofs/s00002-r00001900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001900-n000004",
   "batch_fingerprint": "50fe6ed09e3217f512b96bff4afe46a99997a0c33e3bb7ea6b8e47d5351392a5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001900-n000004-0000-7536abe1b1b3209a.parquet",
-      "sha256": "7536abe1b1b3209af6409b6a6e44bea6a0eda72b19ae7c36bc6a5bac3f602a02",
-      "bytes": 455078,
-      "rows": 22,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001901.lean\",\"73a5e1266a1cd621d55a8d3247e06e8539a41209262b17ff38d303317f75d131\",0,\"lean_workbook_plus_65331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001902.lean\",\"675cf8ab282154660d7d03508ee0b618ab0bbfe0e29c568f0398130ac0a4454c\",0,\"lean_workbook_plus_21371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001903.lean\",\"c20826109c639cb39cb6456d38a0336d8b8391130307e4d44ac7377896af5453\",0,\"lean_workbook_plus_57693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455078,
+      "path": "data/train/pcd/oproofs-s00002-r00001900-n000004-0000-7536abe1b1b3209a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7536abe1b1b3209af6409b6a6e44bea6a0eda72b19ae7c36bc6a5bac3f602a02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001904-n000004.json b/manifests/batches/oproofs/s00002-r00001904-n000004.json
index db6b16face1b54f7fe2c7135fd31c6e5cd60c7ff..822108f68a7111a3980e6bd29f8c3ebd08ad6bf7 100644
--- a/manifests/batches/oproofs/s00002-r00001904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001904-n000004",
   "batch_fingerprint": "8149b7f085000c995a2adcd46240e67a645c16cf9d96c8a44baa226c7e7391b4",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1904",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1905",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1906",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1907"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001904.lean\",\"0b0725eca11a7ac7ea9462dc206f3096aaf505122157a42aae1c4f2629f444c7\",0,\"lean_workbook_plus_13107\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001905.lean\",\"2a220866b26d389e7cdd5ffd6d5857664fdf38a2c9d084a8ac1288876bbd0114\",0,\"lean_workbook_plus_15709\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001906.lean\",\"56a35bef3783437ffa3ca0b434b090946d74894f21e948a35e4803c44ba1a6d8\",0,\"lean_workbook_19485\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001907.lean\",\"0d31937dd200405c2357e8dafa60d542b3f09467302986065139d206dadd97fd\",0,\"lean_workbook_plus_37999\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00001904-n000004-0000-dd18a5a400b52236.parquet",
-      "sha256": "dd18a5a400b522361fdc70535c1ce84ceb76703fa3464571dd99cda9c42c3133",
       "bytes": 84676,
+      "path": "data/train/pd5/oproofs-s00002-r00001904-n000004-0000-dd18a5a400b52236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "dd18a5a400b522361fdc70535c1ce84ceb76703fa3464571dd99cda9c42c3133"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00001904-n000004-0000-58ca7982f6fef829.parquet",
-      "sha256": "58ca7982f6fef8296b102a9c1175b170e8756ce26dd06a5a1db4485022053e88",
       "bytes": 78848,
+      "path": "data/dev/pd5/oproofs-s00002-r00001904-n000004-0000-58ca7982f6fef829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "58ca7982f6fef8296b102a9c1175b170e8756ce26dd06a5a1db4485022053e88"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00001904-n000004-0000-7657dcf44c0d550b.parquet",
-      "sha256": "7657dcf44c0d550b12bed4e6669768175e6b455a535b382bc580fb21c603e552",
       "bytes": 231279,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00001904-n000004-0000-7657dcf44c0d550b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
+      "sha256": "7657dcf44c0d550b12bed4e6669768175e6b455a535b382bc580fb21c603e552"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1904",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1905",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1906",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1907"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001904.lean\",\"0b0725eca11a7ac7ea9462dc206f3096aaf505122157a42aae1c4f2629f444c7\",0,\"lean_workbook_plus_13107\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001905.lean\",\"2a220866b26d389e7cdd5ffd6d5857664fdf38a2c9d084a8ac1288876bbd0114\",0,\"lean_workbook_plus_15709\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001906.lean\",\"56a35bef3783437ffa3ca0b434b090946d74894f21e948a35e4803c44ba1a6d8\",0,\"lean_workbook_19485\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001907.lean\",\"0d31937dd200405c2357e8dafa60d542b3f09467302986065139d206dadd97fd\",0,\"lean_workbook_plus_37999\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001908-n000004.json b/manifests/batches/oproofs/s00002-r00001908-n000004.json
index dba2193159205da1416f9fa9943d08693c2ea28d..02189f26d9974cb16743e7ea41f4ff63595d1c1c 100644
--- a/manifests/batches/oproofs/s00002-r00001908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001908-n000004",
   "batch_fingerprint": "71939572d2ec4f297c2434ae3d71fb1f0c7d0f1f6b7293736d5b4a9ca2457065",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001908-n000004-0000-3d0a38d17d3ee1c7.parquet",
-      "sha256": "3d0a38d17d3ee1c799b315a4c8ed911b156183bf4fdfe8d54e1943037fbd52a7",
-      "bytes": 533501,
-      "rows": 24,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001908-n000004-0000-d58104db18fcc7a1.parquet",
-      "sha256": "d58104db18fcc7a19a0a82d1f95c91307adad2c5bf2d6a7ca37fed53e73aec31",
-      "bytes": 85946,
-      "rows": 6,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1909",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001909.lean\",\"af2929e44c1d56615a003e9f969fa55460cf50dd8c3abf76f8296fd7d333d7bd\",0,\"lean_workbook_plus_66367\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001910.lean\",\"a04100ca8912df5febdd44fc17fdd204b58986067bee504d926d052625c26694\",0,\"lean_workbook_plus_20849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001911.lean\",\"49baff522ea2c641eb3d35120704f91b2b5a0c7a7fde3538407cea2be64bba94\",0,\"lean_workbook_plus_51734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533501,
+      "path": "data/train/p19/oproofs-s00002-r00001908-n000004-0000-3d0a38d17d3ee1c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "3d0a38d17d3ee1c799b315a4c8ed911b156183bf4fdfe8d54e1943037fbd52a7"
+    },
+    {
+      "bytes": 85946,
+      "path": "data/internal_test/p19/oproofs-s00002-r00001908-n000004-0000-d58104db18fcc7a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d58104db18fcc7a19a0a82d1f95c91307adad2c5bf2d6a7ca37fed53e73aec31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001912-n000004.json b/manifests/batches/oproofs/s00002-r00001912-n000004.json
index 41cfac129825f3bfecacafe636a8fb8364a68839..cbd0e805756b9271c331b177a1927402acc0af4b 100644
--- a/manifests/batches/oproofs/s00002-r00001912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001912-n000004",
   "batch_fingerprint": "fe86a0d92292eb28c7ce2f555dfaf480229094414482ac0346750e6203d6dcc6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001912-n000004-0000-5b084a69216a91b9.parquet",
-      "sha256": "5b084a69216a91b9d6b10ac7b55e190fa55b5e2d084fa5714d27b4d1428648b8",
-      "bytes": 195871,
-      "rows": 14,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001912-n000004-0000-edf2d50def990502.parquet",
-      "sha256": "edf2d50def99050288a0b4b197ac969ecfdaa2aa3d1cf9ce8c0bca3fe3321bb8",
-      "bytes": 50156,
-      "rows": 4,
-      "revision": "f3eb7ce2ce81a3834815a733ad862a95aee31a8c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001913.lean\",\"6b0378fb93c98b10bedee470ac7f846cd614298fee18e87f13f51b8575f4bcb0\",0,\"lean_workbook_plus_42311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001914.lean\",\"27c46c63b3f864643c4726fc38d95fdb034dd33f836a60d3d0b230951d039428\",0,\"lean_workbook_plus_14388\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001915.lean\",\"f18a3a06658ce949da9fbf079202d27e472ac3718539068447898c152571c981\",0,\"lean_workbook_plus_76638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195871,
+      "path": "data/train/pec/oproofs-s00002-r00001912-n000004-0000-5b084a69216a91b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5b084a69216a91b9d6b10ac7b55e190fa55b5e2d084fa5714d27b4d1428648b8"
+    },
+    {
+      "bytes": 50156,
+      "path": "data/dev/pec/oproofs-s00002-r00001912-n000004-0000-edf2d50def990502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "edf2d50def99050288a0b4b197ac969ecfdaa2aa3d1cf9ce8c0bca3fe3321bb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001916-n000004.json b/manifests/batches/oproofs/s00002-r00001916-n000004.json
index 8e418b485dadef4d61a8b98eece54346c1963bb7..d1b4937d5f83af81467564e98b69d98248a06eed 100644
--- a/manifests/batches/oproofs/s00002-r00001916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001916-n000004",
   "batch_fingerprint": "3f378120ef54d77ddcaa70293675f8180075dcfc090dddbc70b6320f4411c755",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001916-n000004-0000-e9129ecb3fd3b7f1.parquet",
-      "sha256": "e9129ecb3fd3b7f1b0c3c001271144abe6b7799e9843d7ad3637d2f8025fa6e0",
-      "bytes": 215009,
-      "rows": 14,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001916-n000004-0000-274ac404682b927d.parquet",
-      "sha256": "274ac404682b927d89db8a1a54e0756c46713c1f73853d5599c0c5a365f26f3f",
-      "bytes": 167331,
-      "rows": 7,
-      "revision": "fbd8b040fdcfbbe80b7b60395ce4a3251c520eb3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001917.lean\",\"779c82ca8a0d8532efbf753acc28ac76561d6a55b1272ea50291f8726476382e\",0,\"lean_workbook_plus_12597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001918.lean\",\"e2ba2fb2347fa8c0ad9e7904b82fdc79967bf66d4af49bbe84b25028a3d99af0\",0,\"lean_workbook_plus_65609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001919.lean\",\"3af32ad05653852e8b76e2e1f5be76466eb32134546851ab8e9e5c7e8378bf00\",0,\"lean_workbook_32362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215009,
+      "path": "data/train/pb6/oproofs-s00002-r00001916-n000004-0000-e9129ecb3fd3b7f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e9129ecb3fd3b7f1b0c3c001271144abe6b7799e9843d7ad3637d2f8025fa6e0"
+    },
+    {
+      "bytes": 167331,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00001916-n000004-0000-274ac404682b927d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "274ac404682b927d89db8a1a54e0756c46713c1f73853d5599c0c5a365f26f3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001920-n000004.json b/manifests/batches/oproofs/s00002-r00001920-n000004.json
index 719e2be38eef05381d4804cba19d53a7654a1881..b6610a1aea6ab490a55c920b6addcf235379228a 100644
--- a/manifests/batches/oproofs/s00002-r00001920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001920-n000004",
   "batch_fingerprint": "a082d522ed709e8f6cfd6a2561018b88efd090125687e45fff0db0a824e5e617",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001920-n000004-0000-0f25ef3fdfa97d19.parquet",
-      "sha256": "0f25ef3fdfa97d19a4877b168f8f682f3dea3a6373ae504226410ab7829e2675",
-      "bytes": 212037,
-      "rows": 18,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00001920-n000004-0000-523c79ddc3fcb53d.parquet",
-      "sha256": "523c79ddc3fcb53df4d6ff10384a62c8ce709a45cf6e0e0327f50d062611129f",
-      "bytes": 247760,
-      "rows": 5,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001921.lean\",\"739267073a6f97e677f26b8992930246deaaf2829dcff5d98e041c543fcb7bcf\",0,\"lean_workbook_plus_19696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001922.lean\",\"905bf43ecba584062888df319ec92db9fe091282e70f98d00568f04131a2c3ac\",0,\"lean_workbook_41303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001923.lean\",\"20823cfb63df7092e2c5bfef809e7bd18ab38dec1a6d257fcbdf9e8e701b63ca\",0,\"lean_workbook_plus_1409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212037,
+      "path": "data/train/pb1/oproofs-s00002-r00001920-n000004-0000-0f25ef3fdfa97d19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0f25ef3fdfa97d19a4877b168f8f682f3dea3a6373ae504226410ab7829e2675"
+    },
+    {
+      "bytes": 247760,
+      "path": "data/dev/pb1/oproofs-s00002-r00001920-n000004-0000-523c79ddc3fcb53d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "523c79ddc3fcb53df4d6ff10384a62c8ce709a45cf6e0e0327f50d062611129f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001924-n000004.json b/manifests/batches/oproofs/s00002-r00001924-n000004.json
index 0f2af7155075091e2b29c804da930b285cc6ee0a..0e45992f0d6afe1236d3f1df35c9e09ef5901ba0 100644
--- a/manifests/batches/oproofs/s00002-r00001924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001924-n000004",
   "batch_fingerprint": "15771b8884744d4ce01caf8d8d3cc4dc527bad3fdfdfbf6c8706d21d050bc4f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001924-n000004-0000-98929b795821930a.parquet",
-      "sha256": "98929b795821930aeea3f500ddfa1e1407f6501ef896df23b9f00c9e70444d17",
-      "bytes": 119815,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001924-n000004-0000-bcee5adac5b2d4c5.parquet",
-      "sha256": "bcee5adac5b2d4c5b9ebcbae6e3d311f33e168c806c7687a3a351a0434e56af3",
-      "bytes": 711073,
-      "rows": 2,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1925",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001925.lean\",\"31c6f415a26b69ad85881ee7b97a1efac1066b9f1c223cee21bf521ded508b85\",0,\"lean_workbook_plus_46442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001926.lean\",\"c752a800fe15be3119a61861f73637dd751d370e92b7905cc8de4bef107da3a3\",1,\"unique_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001927.lean\",\"80df9b22692b86e86ae041e1fbe9033689096d49811f57206ce6849a4d1b26fc\",0,\"lean_workbook_plus_76869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119815,
+      "path": "data/train/p55/oproofs-s00002-r00001924-n000004-0000-98929b795821930a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "98929b795821930aeea3f500ddfa1e1407f6501ef896df23b9f00c9e70444d17"
+    },
+    {
+      "bytes": 711073,
+      "path": "data/internal_test/p55/oproofs-s00002-r00001924-n000004-0000-bcee5adac5b2d4c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bcee5adac5b2d4c5b9ebcbae6e3d311f33e168c806c7687a3a351a0434e56af3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001928-n000004.json b/manifests/batches/oproofs/s00002-r00001928-n000004.json
index 30bb39d3e6a165503154daa7c48ed35791166cb4..cf83b92f37186385f9aca4c0b2edf395c524254a 100644
--- a/manifests/batches/oproofs/s00002-r00001928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001928-n000004",
   "batch_fingerprint": "f40169b1474f4bcee9c284f6e690eb1172ba8858839d2bf0575ad130fee8c6c2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001928-n000004-0000-c0d66cc9e69b3298.parquet",
-      "sha256": "c0d66cc9e69b3298e594d75ef5f4d037cb1cb71e99d1eee507465d3abfec9f8f",
-      "bytes": 440179,
-      "rows": 22,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001929.lean\",\"272256095c724b8c660b635c6cebee7ce309256d32b43805508a73270e1a068a\",0,\"function_max_value_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001930.lean\",\"66dbf3e39dc860aed5eaf1b8b5b4c6bd31ab4b1f3f6260909808f0f25888751d\",0,\"lean_workbook_52752\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001931.lean\",\"5a432376312637f220cb3e53745852acc801bddfbc36799701d6e71f3906c9b8\",0,\"lean_workbook_plus_70565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440179,
+      "path": "data/train/pe2/oproofs-s00002-r00001928-n000004-0000-c0d66cc9e69b3298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c0d66cc9e69b3298e594d75ef5f4d037cb1cb71e99d1eee507465d3abfec9f8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001932-n000004.json b/manifests/batches/oproofs/s00002-r00001932-n000004.json
index 79c567a5c798bbe78f08c98eb98d52b7c0fe736e..3f1e4fa62e212026b556512fa769c42142359731 100644
--- a/manifests/batches/oproofs/s00002-r00001932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001932-n000004",
   "batch_fingerprint": "d59115168ce96b5fa6a7ade1b831d754615e8d0fafc93333e2dd7ca2f5fa4181",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001932-n000004-0000-812d9363e11f37d1.parquet",
-      "sha256": "812d9363e11f37d199e210adf58063e1ae86dc075233fb2fe7997ae384e62d52",
-      "bytes": 472354,
-      "rows": 16,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001933.lean\",\"18acd1290da9d5ccd43c4bf75b47858a962ceed2e3b2e01f5873a703bbae10f0\",0,\"lean_workbook_plus_50387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001934.lean\",\"6d6febd99bb24e3e1c3b4285a877a130f7b31a5d08b8af59fe24126150bca588\",0,\"lean_workbook_plus_8177\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001935.lean\",\"a7629ab71994c9a2b407410be5718241e16b50d03a53024b469cdd18c7b3a1a5\",0,\"lean_workbook_plus_69947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 472354,
+      "path": "data/train/pc7/oproofs-s00002-r00001932-n000004-0000-812d9363e11f37d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "812d9363e11f37d199e210adf58063e1ae86dc075233fb2fe7997ae384e62d52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001936-n000004.json b/manifests/batches/oproofs/s00002-r00001936-n000004.json
index d719ad14a647cbfbf11cab55c3353623864f2c3e..e2153c425ca4954557d03e6a9b866b4a12133adc 100644
--- a/manifests/batches/oproofs/s00002-r00001936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001936-n000004",
   "batch_fingerprint": "875293c4d2ac5357f2caf319b12b65d7aa7bce660e234d46f6852687518075c0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001936-n000004-0000-bd7a4641302f744f.parquet",
-      "sha256": "bd7a4641302f744f3f8aa347f0445c36d0ca57414629c72166dfb9fcf3fa5716",
-      "bytes": 420265,
-      "rows": 31,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001937.lean\",\"f8006cfbaafd2496a9f11e0cccde82a3f0661d3f45f63051beb854f2c974b8ac\",0,\"lean_workbook_plus_62268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001938.lean\",\"875834c4f68157199429e3b7beb9b2c6b5f5d0402b9ebe23c2f84f2c7bc15f91\",0,\"lean_workbook_plus_60366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001939.lean\",\"b06ecb07d3e92670cd1d9adab9c3a1611485b25f79542d068fa5af5ac623073c\",0,\"lean_workbook_plus_27742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 420265,
+      "path": "data/train/p4d/oproofs-s00002-r00001936-n000004-0000-bd7a4641302f744f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "bd7a4641302f744f3f8aa347f0445c36d0ca57414629c72166dfb9fcf3fa5716"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001940-n000004.json b/manifests/batches/oproofs/s00002-r00001940-n000004.json
index b150a2cf2e13deefe4963b9ab2e94b5c43febc0e..7a1b470dbecdc794dd9be4ed52b98b516ff02993 100644
--- a/manifests/batches/oproofs/s00002-r00001940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001940-n000004",
   "batch_fingerprint": "01494fc58ee7ef62fd163bb096256e040cd87680b4b8d4c7310dc24e3d3c73a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001940-n000004-0000-777f932dadd48453.parquet",
-      "sha256": "777f932dadd484530bda58484e0715e447b8ee20fde92493a2f973b6ae81592d",
-      "bytes": 271867,
-      "rows": 19,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001941.lean\",\"75d936a5aac0cd23916def14f0e39417876c267892fe35f2bad598baaac6ee6d\",0,\"lean_workbook_plus_18410\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001942.lean\",\"ac22f88d813afd4801e694727371957f13918ea190085773a135bfc2d4a54d1c\",0,\"lean_workbook_plus_16961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001943.lean\",\"3221787cb2fa2cfa4f3bc16ef965ed9b5aabce8fc88ba6018a6b59a8a652a625\",0,\"lean_workbook_plus_22986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271867,
+      "path": "data/train/p74/oproofs-s00002-r00001940-n000004-0000-777f932dadd48453.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "777f932dadd484530bda58484e0715e447b8ee20fde92493a2f973b6ae81592d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001944-n000004.json b/manifests/batches/oproofs/s00002-r00001944-n000004.json
index f784f6a240d04f6b444565e8d072f78e002ab752..3c2baaea09504f8a3f6776f61f5792519d3f3219 100644
--- a/manifests/batches/oproofs/s00002-r00001944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001944-n000004",
   "batch_fingerprint": "99ba8a73dd533168620907815f74fe4d80ecb850328924e17821de08b4314168",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001944-n000004-0000-4a870bd1ad2e16b7.parquet",
-      "sha256": "4a870bd1ad2e16b7ce40e30f299ff1177d6977cff7a80f145c35bb86a23e0569",
-      "bytes": 115751,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001945.lean\",\"b0dc921b20f9cc60b192d5482944c959cd32f25674ea13584a9321edcf26445f\",0,\"lean_workbook_plus_54826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001946.lean\",\"c2036ef2f9d2d68c24c780ed31761967334dbd002d1d0484ff860b01c2d6ed03\",0,\"lean_workbook_plus_10087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001947.lean\",\"a3b655c7952959e0747966555566d35d16352ecd1aad6ff666cd4dd97dafd800\",0,\"lean_workbook_plus_80255\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115751,
+      "path": "data/train/pb8/oproofs-s00002-r00001944-n000004-0000-4a870bd1ad2e16b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4a870bd1ad2e16b7ce40e30f299ff1177d6977cff7a80f145c35bb86a23e0569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001948-n000004.json b/manifests/batches/oproofs/s00002-r00001948-n000004.json
index 0e5e050120ca55b43d59e179f3fce89f6c83dd9d..fd034441a6b376f09a07b65ebd948dc7e040a027 100644
--- a/manifests/batches/oproofs/s00002-r00001948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001948-n000004",
   "batch_fingerprint": "ebbac9f579cb3edce9027b19112c3e0d8811bf2857c8537c187c6291e85bce3c",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001948-n000004-0000-4956434db634e473.parquet",
-      "sha256": "4956434db634e473d6b91f2d4960d4daa298801709922801ed54259664019e84",
-      "bytes": 1568952,
-      "rows": 17,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00001948-n000004-0001-ca5b5e4a5264e316.parquet",
-      "sha256": "ca5b5e4a5264e31610a6ea162440711c12b7a796d6aec75542ba571cfafbcffd",
-      "bytes": 279659,
-      "rows": 7,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1949",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001948.lean\",\"ce8915afd5edb16a96860c5acad10bed34b002bd04b5c4dca4e610113bf13166\",0,\"lean_workbook_45460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001949.lean\",\"2c610c4fa9eaf202d0fc10652450c07b33347180a118ae2fdcee728ab39b1c74\",0,\"positive_reals_equation_comparison\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001950.lean\",\"2a1feb263625db652a8f727f55e5b27fd8f219e6562c57119eb2eae725084f7f\",0,\"lean_workbook_plus_51112\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1568952,
+      "path": "data/train/pda/oproofs-s00002-r00001948-n000004-0000-4956434db634e473.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4956434db634e473d6b91f2d4960d4daa298801709922801ed54259664019e84"
+    },
+    {
+      "bytes": 279659,
+      "path": "data/train/pda/oproofs-s00002-r00001948-n000004-0001-ca5b5e4a5264e316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ca5b5e4a5264e31610a6ea162440711c12b7a796d6aec75542ba571cfafbcffd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001952-n000004.json b/manifests/batches/oproofs/s00002-r00001952-n000004.json
index aebfa5657979f96f1b760f1535b8caa6824e8402..7f42c1a3385b6a694340fc9be4e04b135fc882b1 100644
--- a/manifests/batches/oproofs/s00002-r00001952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001952-n000004",
   "batch_fingerprint": "2d83311b172f878347f8ca529fe81c77e877b873576c284ceae6536b90f0a860",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001952-n000004-0000-64d8798ff7385ff0.parquet",
-      "sha256": "64d8798ff7385ff04b10e4af45e1a0159dbcfb4e92c39566315fb268ed6f461b",
-      "bytes": 95516,
-      "rows": 11,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001953.lean\",\"5f0651197bd558b69eb1ddc4a522c8905bb9bdc18770eae6c69da84c1d52955d\",0,\"for_s_nullset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001954.lean\",\"82d32e77537c9cd78009110ff42f0ff97892ef17fa6d676a547152d36792bce6\",0,\"is_mystery\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001955.lean\",\"c6081fe35740f2431451df76b3281bcb18d3165bb65511f73909d22a95e15aae\",0,\"algebra.BigOperators.Ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95516,
+      "path": "data/train/p7a/oproofs-s00002-r00001952-n000004-0000-64d8798ff7385ff0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "64d8798ff7385ff04b10e4af45e1a0159dbcfb4e92c39566315fb268ed6f461b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001956-n000004.json b/manifests/batches/oproofs/s00002-r00001956-n000004.json
index b3a6b550104ca99a1fe37e576f11840925af707f..a2b5609f639f59e37f394eb9ca57cb18df03cc8a 100644
--- a/manifests/batches/oproofs/s00002-r00001956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001956-n000004",
   "batch_fingerprint": "76790290a793149a2481690adf6fd38cfa08f03ac05118ad6038087aeca26cda",
   "evidence": {
@@ -57,15 +56,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000001/oproofs-s00002-r00001956-n000004-0000-b08f645633cf6b0f.parquet",
-      "sha256": "b08f645633cf6b0f6107753befc4fae344be914d076814c0c806113670f0b02f",
-      "bytes": 68501,
-      "rows": 9,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1958",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1959"
@@ -73,5 +64,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001958.lean\",\"a706b1d3dbf983afcf6784e3133297f8a268baba9e11205c838e588f0f9721c7\",0,\"algebraic_467860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001959.lean\",\"372e13dab247297cd02d69c4a0bbe552eb351de495699907cf8636ac8f5695ef\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68501,
+      "path": "data/train/p18/oproofs-s00002-r00001956-n000004-0000-b08f645633cf6b0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b08f645633cf6b0f6107753befc4fae344be914d076814c0c806113670f0b02f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001960-n000004.json b/manifests/batches/oproofs/s00002-r00001960-n000004.json
index cd4c7d6cfbd6d2856bc7f88366b41ab03188200f..e2cfa0f263a8b596ea7d800a1020a63456e05d85 100644
--- a/manifests/batches/oproofs/s00002-r00001960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001960-n000004",
   "batch_fingerprint": "7fab9645d71903f2cf049f82048063f81ae2d05529014e8fc665f399a36e56fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001960-n000004-0000-79e70902ba6361b8.parquet",
-      "sha256": "79e70902ba6361b867b064d1c42d941cb6a0599a487d4101e023522496a19c66",
-      "bytes": 54012,
-      "rows": 5,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001960-n000004-0000-4a291c394b6f1002.parquet",
-      "sha256": "4a291c394b6f1002274c43f34ee61dacf4f1960c9e5ba5f97ebeafc87f4d30a4",
-      "bytes": 75710,
-      "rows": 6,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001961.lean\",\"01d833b09cdef7c7c2a75aecf03b5687fc38ca6e90075cbb50b2ddc90448d89b\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001962.lean\",\"ffe0f0a8bdb7c2b1b8847d88e137a93a92e167b6fd59d31708f530ce57c117d7\",0,\"sum_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001963.lean\",\"623f1aa9b2c384cfd20aff078eb357565f82d7e1f4272601b09d5018daee70c3\",0,\"three_variable\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 54012,
+      "path": "data/train/p9c/oproofs-s00002-r00001960-n000004-0000-79e70902ba6361b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "79e70902ba6361b867b064d1c42d941cb6a0599a487d4101e023522496a19c66"
+    },
+    {
+      "bytes": 75710,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00001960-n000004-0000-4a291c394b6f1002.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4a291c394b6f1002274c43f34ee61dacf4f1960c9e5ba5f97ebeafc87f4d30a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001964-n000004.json b/manifests/batches/oproofs/s00002-r00001964-n000004.json
index 1934e50066edca715f6d028f3f84cad91e9b4359..c0ecae01112bb05a538d10a36dee69380411c368 100644
--- a/manifests/batches/oproofs/s00002-r00001964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001964-n000004",
   "batch_fingerprint": "04acf835c9ee0337b2cc94b6d46c11e6a132d3afe0bfbfac3d7846fc3b752fa7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001964-n000004-0000-caaf05e750192109.parquet",
-      "sha256": "caaf05e7501921092bf4758a72b3d32bb73226c5cf065dc41503879ac519df5c",
-      "bytes": 110055,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001965.lean\",\"cb3d5ba9da0b7ce5f8a8c185f643e1c09ea03c083cf4900a7bfc4f51de1e0daa\",0,\"H\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001966.lean\",\"df72ed9e2922c92da15f08ca613681dcaa4cd8a777bf3c5afbb02f6caea090d1\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001967.lean\",\"2574d7be1dffb29cef74033cd0099954834cf97c0fc1fae7b4323823ceba3ca7\",0,\"cos_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110055,
+      "path": "data/train/pd3/oproofs-s00002-r00001964-n000004-0000-caaf05e750192109.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "caaf05e7501921092bf4758a72b3d32bb73226c5cf065dc41503879ac519df5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001968-n000004.json b/manifests/batches/oproofs/s00002-r00001968-n000004.json
index 4285a0c00c2697cee96db176a7292795e7a41b66..f5f4c5f1601d4d93b4e70ff7b5732e314df9deee 100644
--- a/manifests/batches/oproofs/s00002-r00001968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001968-n000004",
   "batch_fingerprint": "20c95f4f0176dde180b320e1d4e098f2f64e1011cbb579f55fa0e1877a372d90",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001968-n000004-0000-e89b7c95faa1d431.parquet",
-      "sha256": "e89b7c95faa1d4316c5c83013f26dcfc4b613fa740d93b390136e394d7557afe",
-      "bytes": 126789,
-      "rows": 11,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001968-n000004-0000-ab544058a9e2649a.parquet",
-      "sha256": "ab544058a9e2649abc4c5c2488bdddffde3a78e7fa40a26b52997263ab3e1ba1",
-      "bytes": 125514,
-      "rows": 5,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001969.lean\",\"56e63be87dbf8927dc810794f1cd451a79b0200ed4f636ca36b76745dd9c745b\",0,\"algebra_399795\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001970.lean\",\"f78fe4bb4c529af019ead8c73f218a2217c5783723dcb6f4e46c7e66791667c4\",0,\"\u03b5_0\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001971.lean\",\"0fa931ce088a82fbd715c63c50510379912db28be0cb76ff2bf2f360a4842a97\",0,\"for_s_nullset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126789,
+      "path": "data/train/pbc/oproofs-s00002-r00001968-n000004-0000-e89b7c95faa1d431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e89b7c95faa1d4316c5c83013f26dcfc4b613fa740d93b390136e394d7557afe"
+    },
+    {
+      "bytes": 125514,
+      "path": "data/internal_test/pbc/oproofs-s00002-r00001968-n000004-0000-ab544058a9e2649a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ab544058a9e2649abc4c5c2488bdddffde3a78e7fa40a26b52997263ab3e1ba1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001972-n000004.json b/manifests/batches/oproofs/s00002-r00001972-n000004.json
index e15f702b4e0812ded49d786bcf2e934fb60a16d7..1fe32169ac8ddaa012ce15c28eece311df197dfa 100644
--- a/manifests/batches/oproofs/s00002-r00001972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001972-n000004",
   "batch_fingerprint": "45d82d2b2328ea4261c73fc4578a22ac7a9271f2841320df743922c2f238ee69",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001972-n000004-0000-3e04438f531d7d5d.parquet",
-      "sha256": "3e04438f531d7d5dab727e7b4ea12ca030a335bdc0afc6e4ce2bda4b4b0ed472",
-      "bytes": 98076,
-      "rows": 17,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001972-n000004-0000-db41e0c771c1dbd2.parquet",
-      "sha256": "db41e0c771c1dbd2e2243fccdb62c28e9beb28f518cd6f5448db928d25e17f24",
-      "bytes": 37573,
-      "rows": 2,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001973.lean\",\"bda57ac5aab40e222fdfebe626033befb7739e25530be120a82c1261bdabc15a\",0,\"algebraic_467860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001974.lean\",\"77f8eb2b08e1bb3e5a220df911862bf82b5f1865288853c466b2db1c155bf455\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001975.lean\",\"9e0498451912aaeb5f58c1a3a1e71d95eee46709639cacd3b73c952e8f9f92ee\",0,\"n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98076,
+      "path": "data/train/pab/oproofs-s00002-r00001972-n000004-0000-3e04438f531d7d5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3e04438f531d7d5dab727e7b4ea12ca030a335bdc0afc6e4ce2bda4b4b0ed472"
+    },
+    {
+      "bytes": 37573,
+      "path": "data/internal_test/pab/oproofs-s00002-r00001972-n000004-0000-db41e0c771c1dbd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "db41e0c771c1dbd2e2243fccdb62c28e9beb28f518cd6f5448db928d25e17f24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001976-n000004.json b/manifests/batches/oproofs/s00002-r00001976-n000004.json
index 052d05f4e938db704b96bc4d5326cc06746fb2ed..7cedeee042f52cd445aa1983b7039ec25587f870 100644
--- a/manifests/batches/oproofs/s00002-r00001976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001976-n000004",
   "batch_fingerprint": "226c53cb1940ff6573f9371e50e24aa22272c7f4a420aa0f525c0e1a59615f8d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001976-n000004-0000-79043b82a270e1d2.parquet",
-      "sha256": "79043b82a270e1d232b6db5c5dc4f5f2dda57ccb3f77bacfad35906d466dca15",
-      "bytes": 105109,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001977.lean\",\"003a0463e13cf0758061ed9dde224f97870f95b3fac62c57bf0a2ee584885781\",0,\"Matrix.det_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001978.lean\",\"90e939c7ae84c5b1155f27c9d50f65b393d7acd1c5bb9aaced8db7e0a320e736\",0,\"RealLocalMax\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001979.lean\",\"7249a5c79f26cd2d5cc05027a38b1dfa35f27e58ae899a1f993c0151b9e5111b\",0,\"median_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105109,
+      "path": "data/train/p8e/oproofs-s00002-r00001976-n000004-0000-79043b82a270e1d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "79043b82a270e1d232b6db5c5dc4f5f2dda57ccb3f77bacfad35906d466dca15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001980-n000004.json b/manifests/batches/oproofs/s00002-r00001980-n000004.json
index 09dfad4a287e1122c785bc1c56a68f251a6d5e4a..110d1634702d4c1aea4fae4cd2e46db772d1bb21 100644
--- a/manifests/batches/oproofs/s00002-r00001980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001980-n000004",
   "batch_fingerprint": "4dc3c3d88329ceced5f7ffb6968135dddd679f2b57c6c208b4055e1d8ecd606c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001980-n000004-0000-b38f5da86210db89.parquet",
-      "sha256": "b38f5da86210db89e5d974cfcad2f577a92367a55d3bde893b1b19798fe69784",
-      "bytes": 447465,
-      "rows": 19,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001981.lean\",\"9cbb6bd525e2d35f93298e1b8a36814218b743fb3e54f899c6b85d1dc5c102a9\",0,\"intermediate_value_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001982.lean\",\"83cdebfaea5a3ada95dc5e5f8481db0f7d5d6fffff609a95b03efc016e792d25\",0,\"exists_cbrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001983.lean\",\"0c78dc04eee9695220e798fbbecf8c8a9c17c254857c35a517da9f3e2deb65af\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 447465,
+      "path": "data/train/p22/oproofs-s00002-r00001980-n000004-0000-b38f5da86210db89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b38f5da86210db89e5d974cfcad2f577a92367a55d3bde893b1b19798fe69784"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001984-n000004.json b/manifests/batches/oproofs/s00002-r00001984-n000004.json
index 17e26eb556509172bbfcc5d4f543e8bf7f268aca..3caa27495370f73cb75c33bea5c538dbf04198be 100644
--- a/manifests/batches/oproofs/s00002-r00001984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001984-n000004",
   "batch_fingerprint": "dd560f484eec4d445a75633dbe855c436900083e1b293a3df9a49f7427e9afac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001984-n000004-0000-e2669ae905c8d185.parquet",
-      "sha256": "e2669ae905c8d18534da4928cb26997481fb4520eab4cb6fa9f4569e253ba287",
-      "bytes": 72630,
-      "rows": 9,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001984-n000004-0000-f5626ee82d2f2116.parquet",
-      "sha256": "f5626ee82d2f2116c21b51cb05e380814bd163c515f001cd6eea5de079b6f39b",
-      "bytes": 263616,
-      "rows": 6,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1985",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001985.lean\",\"6c074e4e61fa971a23d2442016af1086588402e4674486586d30743432bf8dbf\",0,\"t0f\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001986.lean\",\"143f65dbdaaa5926bfcae3bfd5a475a318bfafbdf4543b1f50045c40ce4032de\",0,\"for_s_nullset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001987.lean\",\"4fe6f9448030718b851dd7b49f0e807eaa9b6b6d768d5a111a1cf11e8b32a9f7\",0,\"algebra.BigOperators.Ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72630,
+      "path": "data/train/pfc/oproofs-s00002-r00001984-n000004-0000-e2669ae905c8d185.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e2669ae905c8d18534da4928cb26997481fb4520eab4cb6fa9f4569e253ba287"
+    },
+    {
+      "bytes": 263616,
+      "path": "data/internal_test/pfc/oproofs-s00002-r00001984-n000004-0000-f5626ee82d2f2116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f5626ee82d2f2116c21b51cb05e380814bd163c515f001cd6eea5de079b6f39b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001988-n000004.json b/manifests/batches/oproofs/s00002-r00001988-n000004.json
index 21fdb4d96593a21b4d6c5318a67f4e1538e5c2d9..edab6946f7fe82afb61b7ae0d51b0605f8b714bf 100644
--- a/manifests/batches/oproofs/s00002-r00001988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001988-n000004",
   "batch_fingerprint": "abf6af6555e98ff8781da448ba0a3851061f72b37851751a8a72df15861e0891",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001988-n000004-0000-383a8b05003386f6.parquet",
-      "sha256": "383a8b05003386f62e79bcb84a87c807fa8cdc65f583d3555812ef5bb8b47f6d",
-      "bytes": 101325,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00001988-n000004-0000-1ec9fadd631b5cdb.parquet",
-      "sha256": "1ec9fadd631b5cdb89ae70716201da8d8982e3e1b5ef0071f9734c0b57d9b826",
-      "bytes": 34361,
-      "rows": 2,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001989.lean\",\"cd666cb0d019f39829c0380335e788569c543ac76bcbc033eab48a23b41058c2\",0,\"prove_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001990.lean\",\"90d81745422bffff03a96be973623ed13aefc58a49317a470cf5160bbe2e6ac8\",0,\"TopologyFunctionDarboux\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001991.lean\",\"3e764f6b84232fa3d64ada7c03c808ce1895d4a30cd706adeaf3a13981df5103\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101325,
+      "path": "data/train/pbb/oproofs-s00002-r00001988-n000004-0000-383a8b05003386f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "383a8b05003386f62e79bcb84a87c807fa8cdc65f583d3555812ef5bb8b47f6d"
+    },
+    {
+      "bytes": 34361,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00001988-n000004-0000-1ec9fadd631b5cdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1ec9fadd631b5cdb89ae70716201da8d8982e3e1b5ef0071f9734c0b57d9b826"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001992-n000004.json b/manifests/batches/oproofs/s00002-r00001992-n000004.json
index da1e3e540551e48c74aa7d4b7ff99795ba43782b..bd77a59ee83900d4fb6da89d508d764248bcbba8 100644
--- a/manifests/batches/oproofs/s00002-r00001992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001992-n000004",
   "batch_fingerprint": "dee970fc42606f0bf3bb4107fb48c1bac4406e63a848594cfc4be77181a57421",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001992-n000004-0000-74c53f6c38acc970.parquet",
-      "sha256": "74c53f6c38acc97077def23234afc837a7eefd548649bf2501a9c06fee5578b3",
-      "bytes": 105231,
-      "rows": 14,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1993",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001993.lean\",\"ce255288bd9368b8a8a4edf0750f5b16abfc20e0e79ab4263c7727b3467eaae2\",0,\"Matrix.det_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001994.lean\",\"ad9a7a328c14e64da3aca269b717d3a9a7a5ca95a2d77648808ba583fdafda9f\",0,\"median_eq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001995.lean\",\"0f82dd6b8ee4b8d7bbadf9d54801224751e5463e5e72a0fb5bf71c6dd1dbc199\",0,\"distinguishers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105231,
+      "path": "data/train/pd4/oproofs-s00002-r00001992-n000004-0000-74c53f6c38acc970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "74c53f6c38acc97077def23234afc837a7eefd548649bf2501a9c06fee5578b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00001996-n000004.json b/manifests/batches/oproofs/s00002-r00001996-n000004.json
index f9fbed0d32c521d7ce62248130dbc85fba0f0f3c..0256987ac65517b1949d74bb85432724c237d109 100644
--- a/manifests/batches/oproofs/s00002-r00001996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00001996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00001996-n000004",
   "batch_fingerprint": "10b4d81c8361caf9d493dd7aed7532c35a58c3f794556ef293253eb98fe56434",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00001996-n000004-0000-b0d3394f8c7d61af.parquet",
-      "sha256": "b0d3394f8c7d61afe1c924fc7eafcb5e1596726372ad7afb90dd14daf053e45f",
-      "bytes": 257807,
-      "rows": 18,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:1997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001997.lean\",\"d146a277f0b5a2e61bf3c67cb02b7b33662593cb600cd86e4205c8dfa930912c\",0,\"Even.choose\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001998.lean\",\"ce4d5e32b2324c954accd2bc5207564ebed1501bb7b9ba922efc9568f32f445c\",0,\"H\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_001999.lean\",\"d3e7705b610de914ac2466a4afb0f1901c54b9dbb5ca222cc01e5d6b0c7b9787\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257807,
+      "path": "data/train/pce/oproofs-s00002-r00001996-n000004-0000-b0d3394f8c7d61af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b0d3394f8c7d61afe1c924fc7eafcb5e1596726372ad7afb90dd14daf053e45f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002000-n000004.json b/manifests/batches/oproofs/s00002-r00002000-n000004.json
index b77e8b0209714e479022c418e9e30c99f498c2ee..2d49a57486d1b2325c09d5b7dd4649ef20ffc142 100644
--- a/manifests/batches/oproofs/s00002-r00002000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002000-n000004",
   "batch_fingerprint": "856baef0834f7a13c5e23383401d4f789001387470d5e726ba79b7eb37e1e26d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002000-n000004-0000-6589556d637b29b7.parquet",
-      "sha256": "6589556d637b29b7430d727630e2316d338ff88b89d5be5e0c667a64dbcb25ef",
-      "bytes": 221149,
-      "rows": 11,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002000-n000004-0000-1dd5865ea9dabce2.parquet",
-      "sha256": "1dd5865ea9dabce2ca7180726163e46f1985acc13344357e86f3d6d0949da237",
-      "bytes": 164968,
-      "rows": 4,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2001",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002001.lean\",\"1f854a00e85eeb6dfd676d822000b684da3cbf32c05f2e807ab45ed4c4555663\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002002.lean\",\"306b7f62251895d1d7f47baeb5b569123277563d8b7c660409709ae0cf106bd8\",0,\"exists_cbrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002003.lean\",\"2a45d22d768feaa371f5aa4c06172242f248be05e7124887be8f82e038ef24a0\",0,\"summing_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221149,
+      "path": "data/train/p54/oproofs-s00002-r00002000-n000004-0000-6589556d637b29b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6589556d637b29b7430d727630e2316d338ff88b89d5be5e0c667a64dbcb25ef"
+    },
+    {
+      "bytes": 164968,
+      "path": "data/dev/p54/oproofs-s00002-r00002000-n000004-0000-1dd5865ea9dabce2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1dd5865ea9dabce2ca7180726163e46f1985acc13344357e86f3d6d0949da237"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002004-n000004.json b/manifests/batches/oproofs/s00002-r00002004-n000004.json
index 19031ddab8a0f7e3cccb964748f3cbd503ea256e..36fc4afdedcb8da961f216f4a496d5ec0400b7fa 100644
--- a/manifests/batches/oproofs/s00002-r00002004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002004-n000004",
   "batch_fingerprint": "b5e332f508df57b683f80c12d58a7fb59faa8fd1bc771a673ce4e09b5c7ba480",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002004-n000004-0000-46fd3a60b469f583.parquet",
-      "sha256": "46fd3a60b469f583a7d712206662aec5397eb2f4a478c02d2032844c8ee385ed",
-      "bytes": 787052,
-      "rows": 4,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002004-n000004-0000-8ecfe968e7b68225.parquet",
-      "sha256": "8ecfe968e7b68225ddf8776994629b678485188279a0e2aebdfcfeaceeaf1760",
-      "bytes": 515731,
-      "rows": 11,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002005.lean\",\"3c1ff89efae152173f97109936eacc93ac3a3f343910ce7a8361fe6146d12574\",0,\"three_variable\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002006.lean\",\"a3cf4f6759f4139dd21c7cbe3b8c3aa4c60046dbee4449a5c2e82eb602813bd3\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002007.lean\",\"547f027210be1779c820a8079b2178b1c3b53aaade275b107c2fab549a6a0892\",0,\"\u03b5_0\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 787052,
+      "path": "data/train/p5e/oproofs-s00002-r00002004-n000004-0000-46fd3a60b469f583.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "46fd3a60b469f583a7d712206662aec5397eb2f4a478c02d2032844c8ee385ed"
+    },
+    {
+      "bytes": 515731,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00002004-n000004-0000-8ecfe968e7b68225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8ecfe968e7b68225ddf8776994629b678485188279a0e2aebdfcfeaceeaf1760"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002008-n000004.json b/manifests/batches/oproofs/s00002-r00002008-n000004.json
index fb59495ea609e186132d8ac37822ad12cac66d94..0d55c5de4396b469a4add02e58741152b94f0cbb 100644
--- a/manifests/batches/oproofs/s00002-r00002008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002008-n000004",
   "batch_fingerprint": "4336b4351c7135c7983ef486ea51b39b331ba73dda0b2d819327553dd57ec748",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000002/oproofs-s00002-r00002008-n000004-0000-93223d7d6095991d.parquet",
-      "sha256": "93223d7d6095991d56e80be4d6272d2824b9162a29b4ae4919655a05e59b9d98",
-      "bytes": 80213,
-      "rows": 9,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2009",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002008.lean\",\"88eb5e61c419f1548369abbc73f427cfbf0835267841a6f798a51376227f6c90\",0,\"for_s_nullset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002009.lean\",\"768ec3da75fab56989c266bf537f5776e5bd72431e72726d2cc38e77ad64fd73\",0,\"is_mystery\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002011.lean\",\"9705f5aa3b933328618e5e0259b6e622bcdddeb85c94ad718480e09c5b3c8038\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80213,
+      "path": "data/train/pec/oproofs-s00002-r00002008-n000004-0000-93223d7d6095991d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "93223d7d6095991d56e80be4d6272d2824b9162a29b4ae4919655a05e59b9d98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002012-n000004.json b/manifests/batches/oproofs/s00002-r00002012-n000004.json
index 49c10790a2070ec74104bdb92bf9fcd13bc89329..893a734018c250187e49f1a1894f50f1e2c3fa5d 100644
--- a/manifests/batches/oproofs/s00002-r00002012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002012-n000004",
   "batch_fingerprint": "e9248e35017880981e795d0a732beca679b73b8c87e26079a2e0ff6af26f8f7c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002012-n000004-0000-75b79ab8ded66d28.parquet",
-      "sha256": "75b79ab8ded66d288fdb022567d40fcbc870c6f8bf6bd38b226b3741c4909054",
-      "bytes": 75876,
-      "rows": 8,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002012-n000004-0000-98fe334bf85120e4.parquet",
-      "sha256": "98fe334bf85120e4811fb6b9f7b3fccb5c5e505c87492bbf4813b892ab98195a",
-      "bytes": 35581,
-      "rows": 2,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002013.lean\",\"994e6d7a8e81119e574d297d95c577f3ad5d042647f9d028adb4cdd6e50fbb81\",0,\"sum_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002014.lean\",\"a9e14eb09eaed66b5c5ecba279b5c1e57d2a92ff06cc62dbf3bcab9ef563639e\",0,\"RealLocalMax\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002015.lean\",\"13eb2b7d31c4fa42c1dfac7eb25207fdd8605a7035626ab7a60dd3dd3f822cec\",0,\"distinguishers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75876,
+      "path": "data/train/p6f/oproofs-s00002-r00002012-n000004-0000-75b79ab8ded66d28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "75b79ab8ded66d288fdb022567d40fcbc870c6f8bf6bd38b226b3741c4909054"
+    },
+    {
+      "bytes": 35581,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00002012-n000004-0000-98fe334bf85120e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "98fe334bf85120e4811fb6b9f7b3fccb5c5e505c87492bbf4813b892ab98195a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002016-n000004.json b/manifests/batches/oproofs/s00002-r00002016-n000004.json
index 6369df002d2a0df010558763902fabbb6f0857e5..d3ef355c61e991f95b5948a5ab25e46318505f70 100644
--- a/manifests/batches/oproofs/s00002-r00002016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002016-n000004",
   "batch_fingerprint": "b94ba8bf56f887fcab3dacc6d566985b697ad3affb91f51b50d41ab6b292540a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002016-n000004-0000-cd4fbe16afd00699.parquet",
-      "sha256": "cd4fbe16afd006992597123734b3b5e480fea8e70485aff59fad6483d6fcdc4d",
-      "bytes": 238144,
-      "rows": 19,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002017.lean\",\"ed86f9dd148fd5af800cb28c7c03c110c6ccf0de2f63b14895c3154eed7e600c\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002018.lean\",\"b9a8846b44d30624576091059c8254c86eacc54d03760ab2fa2355226b6177ac\",0,\"H\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002019.lean\",\"ca806c303283e36de30d4606f1fcb92b5160b9bb79bcc0ff56c60e63f1b76eae\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238144,
+      "path": "data/train/pfb/oproofs-s00002-r00002016-n000004-0000-cd4fbe16afd00699.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "cd4fbe16afd006992597123734b3b5e480fea8e70485aff59fad6483d6fcdc4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002020-n000004.json b/manifests/batches/oproofs/s00002-r00002020-n000004.json
index 4c920fa3af9128f66a12e0f132106e4003c696fa..08a00427fc026998e22c6090362d8aeff8977882 100644
--- a/manifests/batches/oproofs/s00002-r00002020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002020-n000004",
   "batch_fingerprint": "b6dda7a2d3d255feb2fc638687218564d27b54b96cb71762b3ebd52b1eaadb9a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002020-n000004-0000-a33addc0da75e285.parquet",
-      "sha256": "a33addc0da75e285d87de0e9bae01238c04d7b33230f540681211615327ef0bc",
-      "bytes": 308605,
-      "rows": 13,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002020-n000004-0000-1c19378f2980c5ec.parquet",
-      "sha256": "1c19378f2980c5ec4d6eb196fe5631a345b56c2efe3a39a87aa4ab4f1e34f7bb",
-      "bytes": 122433,
-      "rows": 5,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002021.lean\",\"2ead05c61e3aba044ec053a94f29783cffbf661c968ae0b5eaed380eb6f9b812\",0,\"intermediate_value_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002022.lean\",\"4edd043155d977584a1676a4966afb5102f5c49d609533d9b7b724bafe812909\",0,\"exists_cbrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002023.lean\",\"603e8ae2d02ea5bd602948f356df22da5f39b42574164b6bb70189fab7c2c1be\",0,\"algebra_399795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308605,
+      "path": "data/train/pf0/oproofs-s00002-r00002020-n000004-0000-a33addc0da75e285.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a33addc0da75e285d87de0e9bae01238c04d7b33230f540681211615327ef0bc"
+    },
+    {
+      "bytes": 122433,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00002020-n000004-0000-1c19378f2980c5ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1c19378f2980c5ec4d6eb196fe5631a345b56c2efe3a39a87aa4ab4f1e34f7bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002024-n000004.json b/manifests/batches/oproofs/s00002-r00002024-n000004.json
index d79644cb9614f118aeacfb5a5b656f299f742585..893b992a7cc47795c3788be897fdc70ee76a8093 100644
--- a/manifests/batches/oproofs/s00002-r00002024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002024-n000004",
   "batch_fingerprint": "522c0f6e6b4fd6538c020f6c945f04367894c63acf7f8a34ed477aabc2558b0c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002024-n000004-0000-be46f9a9d8dbde65.parquet",
-      "sha256": "be46f9a9d8dbde659a093c802f13b75893ec5f2c64c594e716eb75029dcecd2d",
-      "bytes": 136911,
-      "rows": 12,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2025",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002025.lean\",\"e67a7fb8a3843fe49b2b2a3ab896926d8838205ce71a797b4f96078b6473967f\",0,\"lean_workbook_43756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002026.lean\",\"36a4e5193cb2782e51c383dd1821b1d9eae280d118c5ae653e3c806be929d812\",0,\"complement_union_sets\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002027.lean\",\"3cf5d981f7edc0ef61976622a5db20efecede2d3403dbf64808811f3be21bbe1\",0,\"lean_workbook_plus_38000\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136911,
+      "path": "data/train/pf1/oproofs-s00002-r00002024-n000004-0000-be46f9a9d8dbde65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "be46f9a9d8dbde659a093c802f13b75893ec5f2c64c594e716eb75029dcecd2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002028-n000004.json b/manifests/batches/oproofs/s00002-r00002028-n000004.json
index 259518d2735c0c4abdc33875e52f66d0f2015073..33fcedcf6434850f460a76830616015eae31f114 100644
--- a/manifests/batches/oproofs/s00002-r00002028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002028-n000004",
   "batch_fingerprint": "099370c99bc4e621da97e74ff47076d3eb33b94b96e399de42cb77cd6dc00b9f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002028-n000004-0000-f6f75175673a7c79.parquet",
-      "sha256": "f6f75175673a7c792ac4fda5993b6fa1837781c140792c9f0d3bbb96e251b703",
-      "bytes": 262123,
-      "rows": 12,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002029.lean\",\"4b552778fa1844ab89d0424e44d690accc1e69af24efa3bfc379e2df400954dd\",0,\"lean_workbook_plus_29620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002030.lean\",\"0ce7fb77385d5649cfaf60207d635307ee9301b993ab834d492f327f649cc0cb\",0,\"lean_workbook_plus_28109\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002031.lean\",\"5ce65a5171a7ba991c6e6690cc494e41071d8b918520a3d41a6901f762df5828\",0,\"lean_workbook_plus_8172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262123,
+      "path": "data/train/p31/oproofs-s00002-r00002028-n000004-0000-f6f75175673a7c79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f6f75175673a7c792ac4fda5993b6fa1837781c140792c9f0d3bbb96e251b703"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002032-n000004.json b/manifests/batches/oproofs/s00002-r00002032-n000004.json
index 4124fb7a2dbcdbab142f423ebc1ddbfa60303d6a..ee6d6c6ba0d36d16fd70eca894568c64bd9d3922 100644
--- a/manifests/batches/oproofs/s00002-r00002032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002032-n000004",
   "batch_fingerprint": "c96d63b3f24e844746970588778bf121d8c00002e89940acf80a7dfe8b595384",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002032-n000004-0000-3a162aab1ee04695.parquet",
-      "sha256": "3a162aab1ee046950eb2124796c30c5d12716861078f8c039a940bd55528a1d4",
-      "bytes": 361604,
-      "rows": 22,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2033",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002033.lean\",\"08ff66277bd75b94ea71f48652eae4d834ab4c88fd224f5d258e470b9fc81fce\",0,\"lean_workbook_plus_52382\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002034.lean\",\"1546c18d96ad562e3e158b749b3b2b67dd9f646fd92ab2c78765f415108befe6\",0,\"lean_workbook_plus_36639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002035.lean\",\"eb7a96ceb0afa325db368014a77bb1b2471080b4cc9bfb641d31364b886412d2\",0,\"lean_workbook_51082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361604,
+      "path": "data/train/p4e/oproofs-s00002-r00002032-n000004-0000-3a162aab1ee04695.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3a162aab1ee046950eb2124796c30c5d12716861078f8c039a940bd55528a1d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002036-n000004.json b/manifests/batches/oproofs/s00002-r00002036-n000004.json
index a14678394fb7d5896a593dd577156ac9a8829d2f..859dbebdb07993274a0df3a01180262e538b8ce3 100644
--- a/manifests/batches/oproofs/s00002-r00002036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002036-n000004",
   "batch_fingerprint": "62958a941b2550d528065efcd399a834f14a685d96b687270971f69372b14a5d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002036-n000004-0000-b53174f6a1b49366.parquet",
-      "sha256": "b53174f6a1b493662c2abef6b0c1b5df405340e5c2edaecb047bc13ee040b259",
-      "bytes": 46885,
-      "rows": 5,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002036-n000004-0000-94b69e54516aa768.parquet",
-      "sha256": "94b69e54516aa7689372b7ead7f7b21666704439a590ff6d192bf63589dd62d2",
-      "bytes": 240838,
-      "rows": 9,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2037",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002037.lean\",\"865d0a1d0b39fb7a1250299992b4bf7a5238275b76ce38f2cffe759416e6a960\",0,\"lean_workbook_plus_71943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002038.lean\",\"53a57d09fe4b582ff6b0898424592a90e941797bc924983284fd07ed12de83af\",0,\"circular_arrangement_with_nonadjacent_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002039.lean\",\"616a89e4253666a0b131807c71be543b8134f95231a8dbc7d1a2c6a1fc67a13f\",0,\"lean_workbook_29799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 46885,
+      "path": "data/train/pf1/oproofs-s00002-r00002036-n000004-0000-b53174f6a1b49366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b53174f6a1b493662c2abef6b0c1b5df405340e5c2edaecb047bc13ee040b259"
+    },
+    {
+      "bytes": 240838,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00002036-n000004-0000-94b69e54516aa768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "94b69e54516aa7689372b7ead7f7b21666704439a590ff6d192bf63589dd62d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002040-n000004.json b/manifests/batches/oproofs/s00002-r00002040-n000004.json
index c1f420036e904722c3a287551a7bf5a72a70fb03..4bd23e5540ae3851281573f81d746b62f43ac45f 100644
--- a/manifests/batches/oproofs/s00002-r00002040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002040-n000004",
   "batch_fingerprint": "cd8c7e64b96153bc3becfdad6b7890a6d2a4fcf50ff7ee2c8856c8fb30314156",
   "evidence": {
@@ -19,67 +18,68 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2040",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2041",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2042",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2043"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002040.lean\",\"d5d22f167fc0e8a06f21e9443ae010e76afc8c4c777640e8db715fdd089bab33\",0,\"lean_workbook_plus_60664\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002041.lean\",\"5f22156358848a773b1e4e110031715346e9404a9ef8d6068733ed48ef967209\",0,\"lean_workbook_53939\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002042.lean\",\"92faa146d7f621e6c1a2a53c1b7162d852f7651b27208021ceb2bcd500b6a1d5\",0,\"lean_workbook_plus_80084\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002043.lean\",\"7acc34ec188663795acb9b17fb6d7535109c13b7fc456c426c553fc0e8f9a5a3\",0,\"lean_workbook_plus_75083\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0000-d45e2c6d19ddf979.parquet",
-      "sha256": "d45e2c6d19ddf9793329264b653f016cbb8208f7dc1dbccb167510e1c34cc9f1",
       "bytes": 489778,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0000-d45e2c6d19ddf979.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 47,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "d45e2c6d19ddf9793329264b653f016cbb8208f7dc1dbccb167510e1c34cc9f1"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0001-0098cce7713b29f9.parquet",
-      "sha256": "0098cce7713b29f9e15aab2230d9d282a17565277b8188a2780db7bd556196bf",
       "bytes": 562126,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0001-0098cce7713b29f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "0098cce7713b29f9e15aab2230d9d282a17565277b8188a2780db7bd556196bf"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0002-77802332e38ac7d7.parquet",
-      "sha256": "77802332e38ac7d7195c06e966ac20852d119852bd9ab364d0cd261b72653f14",
       "bytes": 463323,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0002-77802332e38ac7d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "77802332e38ac7d7195c06e966ac20852d119852bd9ab364d0cd261b72653f14"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0003-07b8e685b1b8e1f9.parquet",
-      "sha256": "07b8e685b1b8e1f9a1409012f0010d01e2d2f515ac74bb1ec2bdfd020c5f7bcb",
       "bytes": 436024,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0003-07b8e685b1b8e1f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "07b8e685b1b8e1f9a1409012f0010d01e2d2f515ac74bb1ec2bdfd020c5f7bcb"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0004-a9018f9f94978178.parquet",
-      "sha256": "a9018f9f9497817810fb118863e2c129baa20ef9277758cf9be04e620558b799",
       "bytes": 430291,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0004-a9018f9f94978178.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "a9018f9f9497817810fb118863e2c129baa20ef9277758cf9be04e620558b799"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0005-02df949d24b3b36d.parquet",
-      "sha256": "02df949d24b3b36d72aced101774e961f1e046f0a37f0c7ac680380af88470f9",
       "bytes": 414712,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0005-02df949d24b3b36d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "02df949d24b3b36d72aced101774e961f1e046f0a37f0c7ac680380af88470f9"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002040-n000004-0006-548cf15c19c691ee.parquet",
-      "sha256": "548cf15c19c691eeec98ea1cdaa56b53f0df06deed1d2636a60f2dc0878ba5e1",
       "bytes": 136066,
+      "path": "data/train/p1f/oproofs-s00002-r00002040-n000004-0006-548cf15c19c691ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4198f2065ae955b7943935f8c78ae16923de48f0"
+      "sha256": "548cf15c19c691eeec98ea1cdaa56b53f0df06deed1d2636a60f2dc0878ba5e1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2040",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2041",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2042",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2043"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002040.lean\",\"d5d22f167fc0e8a06f21e9443ae010e76afc8c4c777640e8db715fdd089bab33\",0,\"lean_workbook_plus_60664\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002041.lean\",\"5f22156358848a773b1e4e110031715346e9404a9ef8d6068733ed48ef967209\",0,\"lean_workbook_53939\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002042.lean\",\"92faa146d7f621e6c1a2a53c1b7162d852f7651b27208021ceb2bcd500b6a1d5\",0,\"lean_workbook_plus_80084\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002043.lean\",\"7acc34ec188663795acb9b17fb6d7535109c13b7fc456c426c553fc0e8f9a5a3\",0,\"lean_workbook_plus_75083\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002044-n000004.json b/manifests/batches/oproofs/s00002-r00002044-n000004.json
index 68a26adc1119ecced7192059ef7205e7c4664da7..5b330209055907ca5fe6da29b1fc22cf0002e972 100644
--- a/manifests/batches/oproofs/s00002-r00002044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002044-n000004",
   "batch_fingerprint": "d3bf5ce803f3fae496d251163e4ead0c926c5f805983bab08ebd671ef11c86dd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002044-n000004-0000-3741dfbdaa7a6609.parquet",
-      "sha256": "3741dfbdaa7a66091251e0f364ece975f325a84db2d1a17fce13932eba2005f2",
-      "bytes": 382425,
-      "rows": 19,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002044-n000004-0000-24a03f22d3f87980.parquet",
-      "sha256": "24a03f22d3f87980b4d92e2b90159dc2933d7681f645b0fce341ac74d27d35a2",
-      "bytes": 352977,
-      "rows": 11,
-      "revision": "0e5f0612d5b8812f7d3fdb0fb7f185643ac30771"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002045.lean\",\"d6f30ad86e7c697c7f75c008d6409adda0c11d7e646587c27fd568b36f432050\",0,\"lean_workbook_plus_27073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002046.lean\",\"ef964b217b671927803a8b5e6cf67577be91bcb2dd435065c51f46a55434efac\",0,\"lean_workbook_plus_30238\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002047.lean\",\"270198d36689797bb600357da8d69a803558f7533416cd145782eb7ede1c210c\",0,\"lean_workbook_57147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382425,
+      "path": "data/train/p29/oproofs-s00002-r00002044-n000004-0000-3741dfbdaa7a6609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3741dfbdaa7a66091251e0f364ece975f325a84db2d1a17fce13932eba2005f2"
+    },
+    {
+      "bytes": 352977,
+      "path": "data/dev/p29/oproofs-s00002-r00002044-n000004-0000-24a03f22d3f87980.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "24a03f22d3f87980b4d92e2b90159dc2933d7681f645b0fce341ac74d27d35a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002048-n000004.json b/manifests/batches/oproofs/s00002-r00002048-n000004.json
index fe644d351b0cc7b4d843be4cf7b48f30202a6e0c..c6a579dfa3f9326db7c5a9f6883dabc95c42bba6 100644
--- a/manifests/batches/oproofs/s00002-r00002048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002048-n000004",
   "batch_fingerprint": "8509ac0af978489f60ec947d7593a404991b382a6846e6b9a7f349c3e090af09",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002048-n000004-0000-bee3da225f6dffb3.parquet",
-      "sha256": "bee3da225f6dffb314b4b47539f8f672c2512e14f86e2bfdf395ac4dcf4f3eb7",
-      "bytes": 1809543,
-      "rows": 4,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002048-n000004-0001-3779264a5bc9ad81.parquet",
-      "sha256": "3779264a5bc9ad81408f82a14972a6ebc3624cadff08408e86bc5ae83cc0d91c",
-      "bytes": 350166,
-      "rows": 14,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002049.lean\",\"408372abdfce0fc08dc38e402aedc290f1e63502fda908748f2a0b0e7c1d83d8\",0,\"lean_workbook_plus_5448\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002050.lean\",\"abf9203e38cacf5d1a2280015cdd31523b9626052c44cfa0639944fb85d9bf2d\",0,\"lean_workbook_plus_18022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002051.lean\",\"4181c25940c4d0cb4ceba157bd30c98b1a4c957775cf172821ecb984e4993965\",0,\"lean_workbook_plus_36553\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1809543,
+      "path": "data/train/pbf/oproofs-s00002-r00002048-n000004-0000-bee3da225f6dffb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bee3da225f6dffb314b4b47539f8f672c2512e14f86e2bfdf395ac4dcf4f3eb7"
+    },
+    {
+      "bytes": 350166,
+      "path": "data/train/pbf/oproofs-s00002-r00002048-n000004-0001-3779264a5bc9ad81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3779264a5bc9ad81408f82a14972a6ebc3624cadff08408e86bc5ae83cc0d91c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002052-n000004.json b/manifests/batches/oproofs/s00002-r00002052-n000004.json
index ad41761d0a329011bac90daae559896e62302638..3e445f7f6144bee9a14d55d6b56aa2d45abdaaeb 100644
--- a/manifests/batches/oproofs/s00002-r00002052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002052-n000004",
   "batch_fingerprint": "3f1265cb65912b1137be5c757eda9d6170f7a92867753a2b6b9f9105887b7cd2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002052-n000004-0000-3f00a1bc1d3120b6.parquet",
-      "sha256": "3f00a1bc1d3120b6026da9c87fa03b43190b97729bcd155976393d820d22e713",
-      "bytes": 108878,
-      "rows": 14,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002052-n000004-0000-832ba3a51abdd4be.parquet",
-      "sha256": "832ba3a51abdd4be822f8a506b9aa6535d16fe4b8e5d32c7a2bf156abfa49133",
-      "bytes": 141138,
-      "rows": 4,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2053",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002053.lean\",\"e65eb5341d66bde673f0083fb3e975fcb84f99187e3399e361eb0dba0f5ab415\",0,\"lean_workbook_plus_50523\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002054.lean\",\"36f5f0a5d4bf82cb9caa0ab0fabb47ec4d49b5ff48c6a8ebe2c4d3b38ca041cf\",0,\"lean_workbook_plus_46412\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002055.lean\",\"cba56c05eba9e72c9c3121dbcbfc042e1397294b7fbb976763a589e172ec45b1\",0,\"lean_workbook_plus_8328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108878,
+      "path": "data/train/pf0/oproofs-s00002-r00002052-n000004-0000-3f00a1bc1d3120b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3f00a1bc1d3120b6026da9c87fa03b43190b97729bcd155976393d820d22e713"
+    },
+    {
+      "bytes": 141138,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00002052-n000004-0000-832ba3a51abdd4be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "832ba3a51abdd4be822f8a506b9aa6535d16fe4b8e5d32c7a2bf156abfa49133"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002056-n000004.json b/manifests/batches/oproofs/s00002-r00002056-n000004.json
index 9339bc6031b6589c9c39b50b53ed17d346269bb9..6302c08d8634c12f0479bf14b77348686e70dbd9 100644
--- a/manifests/batches/oproofs/s00002-r00002056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002056-n000004",
   "batch_fingerprint": "7af02b7a35fd9404fc10bde3c99b0c2f736ef6c6008834d3515ea4ea2c4c9161",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2056",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2057",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2058",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2059"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002056.lean\",\"2610c66b4afe4deb2d3cd952327c1d92384f25b19396bab63fc2894acaea7c35\",0,\"min_shift_symmetric_cosine\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002057.lean\",\"d94993fdd2fbc1f5aeb58bea89bb20f5e1b0de409ea63c7967d77056cbc05346\",0,\"lean_workbook_plus_33100\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002058.lean\",\"f2b5591d1dc3e22bf83af62fc549db2309359c5a92055be9ceca87816977a4cc\",0,\"lean_workbook_plus_76011\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002059.lean\",\"c1cd76c8d8d3010c38540313af50d0ce51a778e7100976bd4014e7dc7be5e0a3\",0,\"lean_workbook_plus_15153\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002056-n000004-0000-bbf243fc738eaa77.parquet",
-      "sha256": "bbf243fc738eaa77cb056cea42259cf98c7d9ebb1068c311820bbece94ff565c",
       "bytes": 615742,
+      "path": "data/train/pde/oproofs-s00002-r00002056-n000004-0000-bbf243fc738eaa77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
+      "sha256": "bbf243fc738eaa77cb056cea42259cf98c7d9ebb1068c311820bbece94ff565c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002056-n000004-0001-255027ff3fffd6a9.parquet",
-      "sha256": "255027ff3fffd6a9c6492d71cf6cc1b5f328917e8233a0dd268190c6180d8cbf",
       "bytes": 620365,
+      "path": "data/train/pde/oproofs-s00002-r00002056-n000004-0001-255027ff3fffd6a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
+      "sha256": "255027ff3fffd6a9c6492d71cf6cc1b5f328917e8233a0dd268190c6180d8cbf"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002056-n000004-0000-4df291a484778d91.parquet",
-      "sha256": "4df291a484778d9152bcb8372c7abfb57cf7f1c927a5a4b6daa1aee21e1eec1c",
       "bytes": 46480,
+      "path": "data/internal_test/pde/oproofs-s00002-r00002056-n000004-0000-4df291a484778d91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
+      "sha256": "4df291a484778d9152bcb8372c7abfb57cf7f1c927a5a4b6daa1aee21e1eec1c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2056",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2057",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2058",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2059"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002056.lean\",\"2610c66b4afe4deb2d3cd952327c1d92384f25b19396bab63fc2894acaea7c35\",0,\"min_shift_symmetric_cosine\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002057.lean\",\"d94993fdd2fbc1f5aeb58bea89bb20f5e1b0de409ea63c7967d77056cbc05346\",0,\"lean_workbook_plus_33100\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002058.lean\",\"f2b5591d1dc3e22bf83af62fc549db2309359c5a92055be9ceca87816977a4cc\",0,\"lean_workbook_plus_76011\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002059.lean\",\"c1cd76c8d8d3010c38540313af50d0ce51a778e7100976bd4014e7dc7be5e0a3\",0,\"lean_workbook_plus_15153\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002060-n000004.json b/manifests/batches/oproofs/s00002-r00002060-n000004.json
index 2422c667016317819b612046ab5b89b80340cbdd..4afd206e9c8c211b2a60759733e3a29a3b5b1d45 100644
--- a/manifests/batches/oproofs/s00002-r00002060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002060-n000004",
   "batch_fingerprint": "3529b4ef87c5a6cd245c8a3e2e1290e7e5e8ec08868b444ef53120172f1df6c8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002060-n000004-0000-afdff9d0a2b91893.parquet",
-      "sha256": "afdff9d0a2b9189349ffacba3a398b1df696c40f88c36c9a58c1f9ba5edb6d3e",
-      "bytes": 471128,
-      "rows": 16,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002061.lean\",\"c956a751bdc441717912240e36be3103a52e0e9619045101b8af14c96788cb3f\",0,\"lean_workbook_plus_63088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002062.lean\",\"2e261c2ea0583a8a31bf331774193822bfb5a490cdabcc937e62a0d95f7744ce\",0,\"lean_workbook_plus_24084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002063.lean\",\"f8514c913cb3990159cbdc77273e1d84c7a8f8f247faea6a6f999af5c43b757c\",0,\"lean_workbook_plus_39013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471128,
+      "path": "data/train/p91/oproofs-s00002-r00002060-n000004-0000-afdff9d0a2b91893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "afdff9d0a2b9189349ffacba3a398b1df696c40f88c36c9a58c1f9ba5edb6d3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002064-n000004.json b/manifests/batches/oproofs/s00002-r00002064-n000004.json
index c6b63876b53480dfd03dba7d661c0b25915e03a9..5247d47d50f7cfe9a6254227fdbaf8f1f629b7ef 100644
--- a/manifests/batches/oproofs/s00002-r00002064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002064-n000004",
   "batch_fingerprint": "03325320eeabcabef82f025471d87cb98bc20deca6c33463717ee318b707de1f",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000002/oproofs-s00002-r00002064-n000004-0000-20e4a65031b936d3.parquet",
-      "sha256": "20e4a65031b936d3b8f7dd1cc540f0894d003e8a73eec2e68176460e0ece8d0b",
-      "bytes": 206602,
-      "rows": 8,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2065",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002064.lean\",\"109204c203dbf73859776b10579e7576790c8a05a414d8408493c0bef69dfa85\",0,\"lean_workbook_plus_47086\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002065.lean\",\"431d7af7932939a6132f96c74705a7c117d8e6671f638d63a72b254737e33387\",0,\"lean_workbook_plus_65403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002066.lean\",\"c02d40c167e6f723675029489bb111f4337ded58ef7559b721bbe7fc7a0f8a62\",0,\"lean_workbook_35787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206602,
+      "path": "data/train/pb7/oproofs-s00002-r00002064-n000004-0000-20e4a65031b936d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "20e4a65031b936d3b8f7dd1cc540f0894d003e8a73eec2e68176460e0ece8d0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002068-n000004.json b/manifests/batches/oproofs/s00002-r00002068-n000004.json
index 91a647470dedf12c3ba14586f21dd3909d80df4c..a5a44f73b4ffa6e15a88c56b8e68996862923967 100644
--- a/manifests/batches/oproofs/s00002-r00002068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002068-n000004",
   "batch_fingerprint": "f4478adfb3ac2d2a52bc604d46b68c9d3524196bd99444e08b26fd4b1ced0798",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002068-n000004-0000-f54b910b80e18c79.parquet",
-      "sha256": "f54b910b80e18c79d18479c0d9c850d61b64edbfdea56627f290245a9e20bbe6",
-      "bytes": 440007,
-      "rows": 22,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002068-n000004-0000-77f7ea0257f1902a.parquet",
-      "sha256": "77f7ea0257f1902aacc18573fb153b2770ce46ec24cb47a88c05cedff0084fe9",
-      "bytes": 61614,
-      "rows": 3,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002069.lean\",\"45485c2b298af16f3ae314fd35682ec7b0a741f7424e6759e5966d2bb6acb29b\",0,\"lean_workbook_plus_61731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002070.lean\",\"43e3cc150b5e790ee2dfcb4624a183d6f85b4ace9369555a2b629f4090211e8b\",0,\"lean_workbook_plus_45079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002071.lean\",\"8afd479c570da8f1873703770125e74aff060140ea9156e428c241186a6ca03b\",0,\"lean_workbook_plus_23291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440007,
+      "path": "data/train/pc9/oproofs-s00002-r00002068-n000004-0000-f54b910b80e18c79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f54b910b80e18c79d18479c0d9c850d61b64edbfdea56627f290245a9e20bbe6"
+    },
+    {
+      "bytes": 61614,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00002068-n000004-0000-77f7ea0257f1902a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "77f7ea0257f1902aacc18573fb153b2770ce46ec24cb47a88c05cedff0084fe9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002072-n000004.json b/manifests/batches/oproofs/s00002-r00002072-n000004.json
index 5d23a617159f83e6cbdfd6277a29990d99afe690..f6847097486bfd3e4cc6eafef08944c57d173f1c 100644
--- a/manifests/batches/oproofs/s00002-r00002072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002072-n000004",
   "batch_fingerprint": "2e5e969c5970d631166f89963430149a4c7d5e6c7291f648cd68ec0413096de0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002072-n000004-0000-dbeaf46b651039c0.parquet",
-      "sha256": "dbeaf46b651039c009fb764d8be484cb56a3cb7ef3236b9f26d892ef1ab89732",
-      "bytes": 255094,
-      "rows": 14,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002073.lean\",\"ca055932871cf863370aa94d000dfb3dbbbf4d903ca205e86568651cfcf6cc9d\",0,\"lean_workbook_56586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002074.lean\",\"57b8579cb51b0b4e2afea8c8afbb0f41d104bb658855e92558b00fc83913947b\",0,\"lean_workbook_plus_55380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002075.lean\",\"0cf4819a9ac16892a6362bf12cb43d7acc9bf336137e0070ad9849cee4ceb039\",0,\"lean_workbook_plus_31276\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255094,
+      "path": "data/train/p2b/oproofs-s00002-r00002072-n000004-0000-dbeaf46b651039c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "dbeaf46b651039c009fb764d8be484cb56a3cb7ef3236b9f26d892ef1ab89732"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002076-n000004.json b/manifests/batches/oproofs/s00002-r00002076-n000004.json
index 8df73f8dd1b0749fbf2c2bf688607c326b710b78..2a11fd3a991bdc98c0222af4b6dcf56406488e55 100644
--- a/manifests/batches/oproofs/s00002-r00002076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002076-n000004",
   "batch_fingerprint": "96512115389df6fcae3b1b7c5c502242ab6dca5c223016b04fa8ee7fd719d061",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002076-n000004-0000-41b4936d3ec2a789.parquet",
-      "sha256": "41b4936d3ec2a789dcb331e8d16c12b15e65bebb4c89d9bc1ec68245df817223",
-      "bytes": 287558,
-      "rows": 16,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002076-n000004-0000-432c751a3467d091.parquet",
-      "sha256": "432c751a3467d0913ca24c1db14e2038b914256e35908314913fb42b8a46949d",
-      "bytes": 752642,
-      "rows": 7,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002077.lean\",\"c1a23d8968d3fa886781cba0e31c7fb185ba47833ecd77bf9ff15a7bed99a4b4\",0,\"lean_workbook_plus_33256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002078.lean\",\"c359b32702a1ce5c43d294bd88bd5afb4bf6d9a2439979a243994e70bec6747f\",0,\"lean_workbook_plus_63004\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002079.lean\",\"30d5f80d797e6608c7a1d88e69ebb97aca623ff1dd11001bad65e99b2ec2bdc4\",0,\"lean_workbook_35420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287558,
+      "path": "data/train/pcc/oproofs-s00002-r00002076-n000004-0000-41b4936d3ec2a789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "41b4936d3ec2a789dcb331e8d16c12b15e65bebb4c89d9bc1ec68245df817223"
+    },
+    {
+      "bytes": 752642,
+      "path": "data/internal_test/pcc/oproofs-s00002-r00002076-n000004-0000-432c751a3467d091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "432c751a3467d0913ca24c1db14e2038b914256e35908314913fb42b8a46949d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002080-n000004.json b/manifests/batches/oproofs/s00002-r00002080-n000004.json
index 9a0fe4bcc4e5af437a31fa7d4f93ce4e9920e974..28b20d1b70fa7703342b39a8f26bd883b72db5c6 100644
--- a/manifests/batches/oproofs/s00002-r00002080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002080-n000004",
   "batch_fingerprint": "323c16693e4998559cdfb1f3903658d43ced205556a7fc748577119ef1472bc1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002080-n000004-0000-d204150321dbf695.parquet",
-      "sha256": "d204150321dbf6952e5ebdbd7b1f62501016187476f02560625ca3aeb9c88226",
-      "bytes": 163990,
-      "rows": 15,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002081.lean\",\"d04682a1691f18fce8df15be35d8a5f7a1d7ede5911094833dc7c2b441ec915f\",0,\"lean_workbook_plus_45069\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002082.lean\",\"bc573e424ca0501b665f132cd7747a2cc12cbe75c7c70ed96c0eec041ae01f9f\",0,\"lean_workbook_plus_67087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002083.lean\",\"62bef7d966916dcc61fa54e3ec4a44b6da4967269ecb9ce59580df569577bc83\",0,\"lean_workbook_40799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163990,
+      "path": "data/train/pb6/oproofs-s00002-r00002080-n000004-0000-d204150321dbf695.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d204150321dbf6952e5ebdbd7b1f62501016187476f02560625ca3aeb9c88226"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002084-n000004.json b/manifests/batches/oproofs/s00002-r00002084-n000004.json
index 4103a2f1acb4699e98f9555e52a075f1de1677d6..86ce7a11ff125af579fcea5e2fe9e89ee203f306 100644
--- a/manifests/batches/oproofs/s00002-r00002084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002084-n000004",
   "batch_fingerprint": "ec276b40fa6e6e0a8db672e98f1317b079f0df33cf06bdbe52132e20500343c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002084-n000004-0000-32eb3719f3ed3f31.parquet",
-      "sha256": "32eb3719f3ed3f317b8d6145965fd5bb91a396db3e7f65bee285cf4c9e890871",
-      "bytes": 286891,
-      "rows": 9,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002084-n000004-0000-13ee95ba601dfb0f.parquet",
-      "sha256": "13ee95ba601dfb0f5e075b4fbadb3750bd549e4af80ccbbe0b9e51d6941e721a",
-      "bytes": 46609,
-      "rows": 4,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002085.lean\",\"5396d10afb678fafc7ef3e916650907aba8ab850d0c0a1942c547e559d115eb6\",0,\"lean_workbook_plus_45766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002086.lean\",\"e5d52330968b8bedeaf9161c81554776f24f24219765ccb0f1201b46d9d3766a\",0,\"lean_workbook_plus_28048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002087.lean\",\"5ed9e8ee6a004c5ca187534f0dd401ad34f643fcce29e5e44e71d14ab77be7f8\",0,\"lean_workbook_plus_47972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286891,
+      "path": "data/train/pe9/oproofs-s00002-r00002084-n000004-0000-32eb3719f3ed3f31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "32eb3719f3ed3f317b8d6145965fd5bb91a396db3e7f65bee285cf4c9e890871"
+    },
+    {
+      "bytes": 46609,
+      "path": "data/internal_test/pe9/oproofs-s00002-r00002084-n000004-0000-13ee95ba601dfb0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "13ee95ba601dfb0f5e075b4fbadb3750bd549e4af80ccbbe0b9e51d6941e721a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002088-n000004.json b/manifests/batches/oproofs/s00002-r00002088-n000004.json
index 0187875886be72c1e7dfaabe2e8994f2fb24ce0a..956d0afc708bb5aa9937acae205ca291361a3046 100644
--- a/manifests/batches/oproofs/s00002-r00002088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002088-n000004",
   "batch_fingerprint": "d108c1bde37dcbe9a4c66e1c39326fe3e6529c1462348912deefea4e5f24f1dd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002088-n000004-0000-f43cacc600316c48.parquet",
-      "sha256": "f43cacc600316c48deee5d34fe3c5633065c29b2df15801ba233627a23b4018f",
-      "bytes": 1135712,
-      "rows": 26,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2089",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002089.lean\",\"5d187da29ca6c53841d19b1dc944f1ca57bb75cb810b87357a956ae924140431\",0,\"lean_workbook_plus_10769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002090.lean\",\"be2a3cc04a41ebbd92e0777d3e54b62c0fa1e33df55d7cd39bf4ec7ca202942f\",0,\"lean_workbook_plus_15088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002091.lean\",\"983a37a069247cee14621c94c4d69ffa2b45bb151e59e276ef0f1236e4af61e1\",0,\"lean_workbook_plus_43376\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1135712,
+      "path": "data/train/p54/oproofs-s00002-r00002088-n000004-0000-f43cacc600316c48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f43cacc600316c48deee5d34fe3c5633065c29b2df15801ba233627a23b4018f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002092-n000004.json b/manifests/batches/oproofs/s00002-r00002092-n000004.json
index a708be680b582a587af699ae66142104ba366829..18e86bf1b726cf389ea05cfda1bbe183392366e0 100644
--- a/manifests/batches/oproofs/s00002-r00002092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002092-n000004",
   "batch_fingerprint": "8071e5753e98474e7b63e82476251bcc4df74b8a014853142a6f5a4704a78cc8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002092-n000004-0000-2a355fd608d5bfd8.parquet",
-      "sha256": "2a355fd608d5bfd8f7377007c759ff76d47c93297f9c2bd4c3a6d474b5bec858",
-      "bytes": 94298,
-      "rows": 13,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002092-n000004-0000-b40ff3d04dc1efdc.parquet",
-      "sha256": "b40ff3d04dc1efdc2e5c7a433a33695a84a66d7aa3890f5721305ce55ee3f713",
-      "bytes": 93838,
-      "rows": 3,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002093.lean\",\"2f9817c87120b303d8f3c6c0fc2d5a5c7da3328efcb82f430f41c722d14468f8\",0,\"lean_workbook_41635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002094.lean\",\"faba8a12cf867ee6c04f8d3bd2b393746f3a91ba0e6d340e62074135f9efb438\",0,\"complement_union_sets\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002095.lean\",\"b771e7f8ef08f8f89f46b8442c94a332a7b33bc6f2f4682d5f5466f27c16c77c\",0,\"lean_workbook_49654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94298,
+      "path": "data/train/p24/oproofs-s00002-r00002092-n000004-0000-2a355fd608d5bfd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2a355fd608d5bfd8f7377007c759ff76d47c93297f9c2bd4c3a6d474b5bec858"
+    },
+    {
+      "bytes": 93838,
+      "path": "data/dev/p24/oproofs-s00002-r00002092-n000004-0000-b40ff3d04dc1efdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b40ff3d04dc1efdc2e5c7a433a33695a84a66d7aa3890f5721305ce55ee3f713"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002096-n000004.json b/manifests/batches/oproofs/s00002-r00002096-n000004.json
index 482609b2f56d503a0376fd160fcfb19052ba33db..434ea5555f6d92de76ffafe1b7143d81b095b266 100644
--- a/manifests/batches/oproofs/s00002-r00002096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002096-n000004",
   "batch_fingerprint": "5e2ed5464f798bc93f6012cc4dfc45a7bb5cb6a3c25694695f881d3881520ad3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002096-n000004-0000-9818086b15629add.parquet",
-      "sha256": "9818086b15629addd47bdd42c1ff81e92e74062756640e09f57d862d22906f81",
-      "bytes": 99221,
-      "rows": 10,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002097.lean\",\"2f129119c448a0471e2d711a708591cd80ec1bf758d25a7b1a99b683b5ca4dd6\",0,\"lean_workbook_plus_29620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002098.lean\",\"d5975cefba538159e04a8076b5ee32e51f936a77633e0d4e75329196963a7731\",0,\"lean_workbook_13223\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002099.lean\",\"2eb11ce789c8cec41b092dda84e47198b9ef780fa9a714ce235f992751eadc18\",0,\"lean_workbook_plus_36639\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99221,
+      "path": "data/train/pc2/oproofs-s00002-r00002096-n000004-0000-9818086b15629add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9818086b15629addd47bdd42c1ff81e92e74062756640e09f57d862d22906f81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002100-n000004.json b/manifests/batches/oproofs/s00002-r00002100-n000004.json
index 4fdda35302f4d9844228fc1e29bbf6701ad6cb36..2ff7f1616346f5155af574a1c3f0588c703a88fe 100644
--- a/manifests/batches/oproofs/s00002-r00002100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002100-n000004",
   "batch_fingerprint": "addb3cab6bb0acc4ccbd8054c04fbe8aeeb63c992e19f04de6b38ed4c44795f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002100-n000004-0000-b9bf80ee7bffe6b0.parquet",
-      "sha256": "b9bf80ee7bffe6b0916394bd722ee0dc6bed610114298831492e912813bf719a",
-      "bytes": 216120,
-      "rows": 14,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002101.lean\",\"e3e6b45dd9d9a870bc25bd11eda2cb8c4a2ae0b52dba5da5eda0a38d2ca189eb\",0,\"lean_workbook_plus_8172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002102.lean\",\"2bbc171f7b16e6653b7e9e17325dec3c18178c959f3e182c9f30d27b0e372144\",0,\"lean_workbook_plus_42254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002103.lean\",\"62a67644ef9f72b1373838c9b05f34abf83a1b0e02c2150339ffef4e0ea02d10\",0,\"equation_solution_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216120,
+      "path": "data/train/p6d/oproofs-s00002-r00002100-n000004-0000-b9bf80ee7bffe6b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b9bf80ee7bffe6b0916394bd722ee0dc6bed610114298831492e912813bf719a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002104-n000004.json b/manifests/batches/oproofs/s00002-r00002104-n000004.json
index a28e17ea28c7d9ce15c6b816ed9e23489a84c311..130213d3365ec8101f709d720aaa7cbc5b1f4447 100644
--- a/manifests/batches/oproofs/s00002-r00002104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002104-n000004",
   "batch_fingerprint": "fd0e80cc1eb421f835d47e8aa1061bf26f2d9fb5b0710523c36084b9e53746c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002104-n000004-0000-a3b181aa9edea86b.parquet",
-      "sha256": "a3b181aa9edea86b1b334affedcfb8248cab21a188c60936cfa6128c3aa4d967",
-      "bytes": 184574,
-      "rows": 15,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002104-n000004-0000-a6954ac740ae6aa7.parquet",
-      "sha256": "a6954ac740ae6aa7514acec149d0f0fe391a88e6cab962aa53bea2db2539fb0a",
-      "bytes": 134191,
-      "rows": 5,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002105.lean\",\"5c7c77c718af44dd0be562890dee978e2ea80b26306d0e0a37df998cc544095b\",0,\"lean_workbook_plus_71943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002106.lean\",\"0edfc215b1f350b6dadd614e22950d578f306d2b057e966209166d7f738016cc\",0,\"circular_arrangement_with_nonadjacent_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002107.lean\",\"ae354171f43387ab0fee704af093aa3c759256dbcff1b7382ae935fb5b189caa\",0,\"lean_workbook_plus_56938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184574,
+      "path": "data/train/p65/oproofs-s00002-r00002104-n000004-0000-a3b181aa9edea86b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a3b181aa9edea86b1b334affedcfb8248cab21a188c60936cfa6128c3aa4d967"
+    },
+    {
+      "bytes": 134191,
+      "path": "data/internal_test/p65/oproofs-s00002-r00002104-n000004-0000-a6954ac740ae6aa7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a6954ac740ae6aa7514acec149d0f0fe391a88e6cab962aa53bea2db2539fb0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002108-n000004.json b/manifests/batches/oproofs/s00002-r00002108-n000004.json
index fe8a82ab153a72c74219c76ca0fbb92b1e5ec62f..8b10c7b44a7010b44ffc52418469416ce2021acf 100644
--- a/manifests/batches/oproofs/s00002-r00002108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002108-n000004",
   "batch_fingerprint": "a3aa5753956828b5179a32b9a029349ecc1be438475e8c01a06aa25dc5593373",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002108-n000004-0000-faa1f1eb83776954.parquet",
-      "sha256": "faa1f1eb83776954145bc60295659a16a90d3a17605565f29981b193332f0e2c",
-      "bytes": 235303,
-      "rows": 15,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002109.lean\",\"3f724ac291bf2afd9968d598e76fb1a54546777408e00343d2895dde90762e38\",0,\"lean_workbook_plus_60664\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002110.lean\",\"271086f22a4af53c794d669dcebe8f0f5d925d1cdb9a9396718243681aea6095\",0,\"lean_workbook_53939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002111.lean\",\"9763e2922a0303b27da65197ba9013b73c717f92d59029a32eee3f4ff771da75\",0,\"lean_workbook_plus_80084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235303,
+      "path": "data/train/pfc/oproofs-s00002-r00002108-n000004-0000-faa1f1eb83776954.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "faa1f1eb83776954145bc60295659a16a90d3a17605565f29981b193332f0e2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002112-n000004.json b/manifests/batches/oproofs/s00002-r00002112-n000004.json
index 144e8a6a15b2eb996bb7ad6f31d0ac60c240905a..939455cd74cb86043737bc600e974b536073c7da 100644
--- a/manifests/batches/oproofs/s00002-r00002112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002112-n000004",
   "batch_fingerprint": "62473ac46488883b09c8107fbba9551e904fcbf1f3f2b2cb5dd820ea29112b74",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002112-n000004-0000-494fcbf92b6002bc.parquet",
-      "sha256": "494fcbf92b6002bc2f6e7247ac1c951d59bed1595b2b4cd0113e7b05026c1769",
-      "bytes": 319073,
-      "rows": 14,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002112-n000004-0000-2cc79b94bd903685.parquet",
-      "sha256": "2cc79b94bd9036850c25397a63144ac71a436accf242e9bf5b29ad2d11143a76",
-      "bytes": 86349,
-      "rows": 2,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002113.lean\",\"d221f0c27639942d39e5a4210049c1839cfb57b99e690d060eebbb93cc525d57\",0,\"lean_workbook_plus_53050\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002114.lean\",\"2d51a2a44c4cb18153ce72da3e08ca40c2da03f596f3343120c96fb89f47219c\",0,\"lean_workbook_plus_25487\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002115.lean\",\"0ad1ebd693c0de1b0b2c150d4cb61be03c75d9cf4251842010b2e149b2863c23\",0,\"lean_workbook_57147\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319073,
+      "path": "data/train/p6f/oproofs-s00002-r00002112-n000004-0000-494fcbf92b6002bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "494fcbf92b6002bc2f6e7247ac1c951d59bed1595b2b4cd0113e7b05026c1769"
+    },
+    {
+      "bytes": 86349,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00002112-n000004-0000-2cc79b94bd903685.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2cc79b94bd9036850c25397a63144ac71a436accf242e9bf5b29ad2d11143a76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002116-n000004.json b/manifests/batches/oproofs/s00002-r00002116-n000004.json
index 46112fd2ff0459b82e101bc00d633880d8e7775b..12a139b0c79a1c90ee6fd093e9727de495bc1d9b 100644
--- a/manifests/batches/oproofs/s00002-r00002116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002116-n000004",
   "batch_fingerprint": "3d03036ea8fdeaf539ced0783d37bee8fcc23c6d719c9e5b17fb2d7ca1708925",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002116-n000004-0000-ae7473f213253137.parquet",
-      "sha256": "ae7473f213253137608220a7b22ef541ede16b11c5c652afd83f8de36b80bdd7",
-      "bytes": 133978,
-      "rows": 13,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002117.lean\",\"94bce8b9362834d3f78d8c76738c51e962f50d15ada41ec3744a444d68b00c2e\",0,\"lean_workbook_plus_36553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002118.lean\",\"f373517499357760af008d7579aaf6a2dd76135b48aad943631ae3dd98d9d930\",0,\"lean_workbook_plus_21848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002119.lean\",\"0e76e693c6c58fa5989a4b8336062b30a96b6915565a658c058cb9da3412c27f\",0,\"lean_workbook_plus_50523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133978,
+      "path": "data/train/p7e/oproofs-s00002-r00002116-n000004-0000-ae7473f213253137.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ae7473f213253137608220a7b22ef541ede16b11c5c652afd83f8de36b80bdd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002120-n000004.json b/manifests/batches/oproofs/s00002-r00002120-n000004.json
index 214091e6c41d6104806705255351980d9f756132..a269429f5066825394826e5df774acf944c71e7c 100644
--- a/manifests/batches/oproofs/s00002-r00002120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002120-n000004",
   "batch_fingerprint": "0faa3d5e63a535ea0c365c3e224d10cb01d740706f6b846c4036d6b6261441f8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002120-n000004-0000-427710cebcacea38.parquet",
-      "sha256": "427710cebcacea38aa7e8aa29ac57048a585a473c7f3b4577f1504bc87fe45cd",
-      "bytes": 708721,
-      "rows": 20,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002120-n000004-0001-5b3cfe88c2ab5177.parquet",
-      "sha256": "5b3cfe88c2ab51778bc1d8f13c213c813db04ddaa02c4092b0fc4f85937e7046",
-      "bytes": 457534,
-      "rows": 3,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002121.lean\",\"0eacd059fa3334735ca757b810730167f96817aac9133e62cce14585ca656a1a\",0,\"lean_workbook_plus_37616\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002122.lean\",\"d1b002fef9bda6de7f420ec07bbbc9cc19f2a9a8ddd335aafb1fef210279a2b2\",0,\"lean_workbook_plus_24304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002123.lean\",\"87b30fe6fe3ba2037397c0532492ec60c89bdbb394febea25a022db92bb88ca5\",0,\"lean_workbook_plus_49000\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 708721,
+      "path": "data/train/p68/oproofs-s00002-r00002120-n000004-0000-427710cebcacea38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "427710cebcacea38aa7e8aa29ac57048a585a473c7f3b4577f1504bc87fe45cd"
+    },
+    {
+      "bytes": 457534,
+      "path": "data/train/p68/oproofs-s00002-r00002120-n000004-0001-5b3cfe88c2ab5177.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5b3cfe88c2ab51778bc1d8f13c213c813db04ddaa02c4092b0fc4f85937e7046"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002124-n000004.json b/manifests/batches/oproofs/s00002-r00002124-n000004.json
index b35d978f7f3a5fb2273f2d4d8caaac39592b249d..35214e8df0ec92018a6d68cd04293314255c73bc 100644
--- a/manifests/batches/oproofs/s00002-r00002124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002124-n000004",
   "batch_fingerprint": "11ab9ebb585d445778ab109ebd03a3c3abcde0e22887b6d91e9c4b5ee1fb07c4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002124-n000004-0000-ef4049a12bbf0019.parquet",
-      "sha256": "ef4049a12bbf00199d2b36b4c07eb18a1645b1ae16b287fa9213fe95c3fc244b",
-      "bytes": 1108313,
-      "rows": 20,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002124-n000004-0000-c3f94a8a33a7b79f.parquet",
-      "sha256": "c3f94a8a33a7b79f24a00a7cb71b42b3e6e00f724a545778709b1725b07913e4",
-      "bytes": 187726,
-      "rows": 7,
-      "revision": "3d3805c29ed5384a131d51d2f912d506db02fc26"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002125.lean\",\"63957ac101224b642ece0aaf9feb73450875b9181f81b478140dba5e32449691\",0,\"lean_workbook_plus_5448\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002126.lean\",\"11f4f61a8044169e271b62232492e5270a8495bb708910c8459f679ef3991f50\",0,\"lean_workbook_plus_66250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002127.lean\",\"c3c4bea4a455bc957af7b5fba4d4bf5caaa98676f92b70b88ad63644fabe430f\",0,\"lean_workbook_plus_15153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1108313,
+      "path": "data/train/p01/oproofs-s00002-r00002124-n000004-0000-ef4049a12bbf0019.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ef4049a12bbf00199d2b36b4c07eb18a1645b1ae16b287fa9213fe95c3fc244b"
+    },
+    {
+      "bytes": 187726,
+      "path": "data/internal_test/p01/oproofs-s00002-r00002124-n000004-0000-c3f94a8a33a7b79f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c3f94a8a33a7b79f24a00a7cb71b42b3e6e00f724a545778709b1725b07913e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002128-n000004.json b/manifests/batches/oproofs/s00002-r00002128-n000004.json
index 26850bb2687e42506e507e184b1a3357dc9645c7..1ec5d18ed76d8ea46dfe05ac33a5c7ef6761ef04 100644
--- a/manifests/batches/oproofs/s00002-r00002128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002128-n000004",
   "batch_fingerprint": "df3b00e69eb30f257cc89d6b1c1866b31a9025409743eb48493cbbd8e1cd5010",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002128-n000004-0000-618652e6b7642dee.parquet",
-      "sha256": "618652e6b7642deeada2360de3611977822d03bf91c128ae7b3f8fa2d9ef65c9",
-      "bytes": 347434,
-      "rows": 22,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002129.lean\",\"31782842a793c4100c1b5b3515dd7486bc8d0febde80cdd597c644971297f414\",0,\"lean_workbook_plus_63088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002130.lean\",\"6b17f4f42cd67274059b0b5fc91971276c646a77af22296fd23f17f373303d9f\",0,\"lean_workbook_plus_24084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002131.lean\",\"29b97a622e245382305332c53c2a61ea23251549d1e66cd932bc0e3188ebccda\",0,\"lean_workbook_plus_39013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347434,
+      "path": "data/train/p06/oproofs-s00002-r00002128-n000004-0000-618652e6b7642dee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "618652e6b7642deeada2360de3611977822d03bf91c128ae7b3f8fa2d9ef65c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002132-n000004.json b/manifests/batches/oproofs/s00002-r00002132-n000004.json
index 57afa684a27a6ca73d69686e9e8d44b8b131d5ac..306f1f1e774f5d420ef9c5d0bd33893f814278a5 100644
--- a/manifests/batches/oproofs/s00002-r00002132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002132-n000004",
   "batch_fingerprint": "769bcc6e42d3a525b173f4ea8de57722e9904e97ff6f0365f5c7b5d3f0f4465f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002132-n000004-0000-bfaef1a02b52ccce.parquet",
-      "sha256": "bfaef1a02b52cccee908d48a9992a9605a6cf6e14332b021d8b8d9fda71bef9e",
-      "bytes": 651795,
-      "rows": 21,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002132-n000004-0000-f9e2febf87a2b4d3.parquet",
-      "sha256": "f9e2febf87a2b4d31668af1553981af3b9b009b3277ad2280b4058451989ff77",
-      "bytes": 39269,
-      "rows": 3,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002133.lean\",\"ebeb4c98f47374f0cbe1d246ddf0436103d4cb6ea27d18045ed10e7d7eb2af95\",0,\"lean_workbook_34916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002134.lean\",\"e512f67475e24f31257bd1810b4ca99cf56ecae2e4afe0a6b28951b141fe48df\",0,\"game_result_2023_2024\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002135.lean\",\"083e50ffc812ae0ab62a024528f39d37aca54373d77f2835dcdd0a386ebdcc80\",0,\"circle_equation_from_diameter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 651795,
+      "path": "data/train/p08/oproofs-s00002-r00002132-n000004-0000-bfaef1a02b52ccce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "bfaef1a02b52cccee908d48a9992a9605a6cf6e14332b021d8b8d9fda71bef9e"
+    },
+    {
+      "bytes": 39269,
+      "path": "data/internal_test/p08/oproofs-s00002-r00002132-n000004-0000-f9e2febf87a2b4d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f9e2febf87a2b4d31668af1553981af3b9b009b3277ad2280b4058451989ff77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002136-n000004.json b/manifests/batches/oproofs/s00002-r00002136-n000004.json
index 5411bd771ae0adb4a4c9315abeaa43bede9badda..d5381c850ec1397758e3fcaeb3c36b6e8f4c34f7 100644
--- a/manifests/batches/oproofs/s00002-r00002136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002136-n000004",
   "batch_fingerprint": "d461ae8b9da61d593ff0b461e8347e7f98c04ef713afe87d2bb86b2ece7f8537",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002136-n000004-0000-15cf91a022cf91de.parquet",
-      "sha256": "15cf91a022cf91dedde8d61515fb1c914741169caf62c3c3ad07a88eb744034d",
-      "bytes": 210036,
-      "rows": 18,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2137",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002137.lean\",\"bbcaa53b1cb09e47f0a9ee9e441514651da8abc999bcd8a2062575b041bdcf81\",0,\"lean_workbook_plus_68541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002138.lean\",\"bef50a6fb8bd4608525da3103e587eb85da090bbff55a9a10e1dfdb360586b91\",0,\"lean_workbook_56586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002139.lean\",\"6d9d6205ac02a83fdeade15f4b332880a8cab985769675f6b3f36b5bbe40af84\",0,\"lean_workbook_plus_55380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210036,
+      "path": "data/train/pba/oproofs-s00002-r00002136-n000004-0000-15cf91a022cf91de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "15cf91a022cf91dedde8d61515fb1c914741169caf62c3c3ad07a88eb744034d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002140-n000004.json b/manifests/batches/oproofs/s00002-r00002140-n000004.json
index f1111a85cb3f7dd04ba0f3e3f067736a87b8f5a8..bf545cf5ea595fc79a114d0835221bb0153566ca 100644
--- a/manifests/batches/oproofs/s00002-r00002140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002140-n000004",
   "batch_fingerprint": "36eb1528f6ca24da3d0ce3d14e5922302a2f65dd9648eece5df8a1952e6e1c60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002140-n000004-0000-0723614b6c7b4497.parquet",
-      "sha256": "0723614b6c7b449799b10dfc8072e996bd857d227b6ca75967d9864ff6c7320b",
-      "bytes": 523235,
-      "rows": 19,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002141.lean\",\"dcfff41c5ed7604ba8a0aeb6903dbfc56c270c769fe732dcc3fead90878f7f9c\",0,\"lean_workbook_50239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002142.lean\",\"8d47d847df729a9f0dd7a565abc84dfddf5b04e05b3abb411339896cb235c1b8\",0,\"lean_workbook_plus_33256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002143.lean\",\"2470d9e1c8d20b1eadd0d2548196b78aafe73cd950949325d7abfe843e15fc20\",0,\"lean_workbook_plus_54325\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523235,
+      "path": "data/train/p5d/oproofs-s00002-r00002140-n000004-0000-0723614b6c7b4497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0723614b6c7b449799b10dfc8072e996bd857d227b6ca75967d9864ff6c7320b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002144-n000004.json b/manifests/batches/oproofs/s00002-r00002144-n000004.json
index 99db0204d9577dfd7466bba42700be94d2b1a6fb..07f13d933a0522e36326de5551be14f32a494b0c 100644
--- a/manifests/batches/oproofs/s00002-r00002144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002144-n000004",
   "batch_fingerprint": "53e17a7327ea266f6f42bd1e04209cd7a7ba0cc6e387702b5b2ae7f099ec7c0c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002144-n000004-0000-09e3438ad5c713d9.parquet",
-      "sha256": "09e3438ad5c713d945d491a65d3dc931737ba76ac1bac6c5c8d7036866629e44",
-      "bytes": 306432,
-      "rows": 25,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002145.lean\",\"8e7f5cef28e217392b4427ad494efa68bd2a31e55b584f751e3f0c630dc9f4be\",0,\"lean_workbook_35420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002146.lean\",\"3ab22143f365fdc0c5b0c4666b2ece3da3776e08ee0b620d0ebc41b41037abe2\",0,\"lean_workbook_plus_67087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002147.lean\",\"848c47e6a19e9f9ba9a1fb613347fa28ca308fcef7a68485f8608a91418177b8\",0,\"lean_workbook_plus_45069\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306432,
+      "path": "data/train/p6d/oproofs-s00002-r00002144-n000004-0000-09e3438ad5c713d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "09e3438ad5c713d945d491a65d3dc931737ba76ac1bac6c5c8d7036866629e44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002148-n000004.json b/manifests/batches/oproofs/s00002-r00002148-n000004.json
index 5416cbbb782fb14abb4543b03c9286811572f69c..3b7c79c879031f4ee9f9496cddac6774e4901df1 100644
--- a/manifests/batches/oproofs/s00002-r00002148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002148-n000004",
   "batch_fingerprint": "6acffbf406de3c2b4638fe21d295d128df97fa7f7ac5606dc278839eb3cf2eea",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2148",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2149",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2150",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2151"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002148.lean\",\"75cb2091759e888236b06f45dbee163a5be7127dfb7ad500a58f839d49abc177\",0,\"lean_workbook_14101\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002149.lean\",\"0c65f0e873e5f4c96ba16629e864b716d0e073aaf63ea532701ca7efbbfd213d\",0,\"lean_workbook_56759\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002150.lean\",\"5a2e78da1e830beebae0b3eb12ae572ceeba0ba6bf3a21a54b16f712ed87731f\",0,\"lean_workbook_plus_45766\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002151.lean\",\"8e71383469a51202127e3b985b6f8d10fe5bcd46778dec20c2e6f5abb20ae763\",0,\"lean_workbook_plus_10918\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002148-n000004-0000-28bb64e3cb3ed9c8.parquet",
-      "sha256": "28bb64e3cb3ed9c83c47c97dec3b3644d80be2bcd2dee0c0b9cab3657872f7a0",
       "bytes": 58152,
+      "path": "data/train/pcd/oproofs-s00002-r00002148-n000004-0000-28bb64e3cb3ed9c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
+      "sha256": "28bb64e3cb3ed9c83c47c97dec3b3644d80be2bcd2dee0c0b9cab3657872f7a0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002148-n000004-0000-ed73675622d4ed9c.parquet",
-      "sha256": "ed73675622d4ed9c5d168d9455d473e06dc3d36a5be76db05cd55266367f67d9",
       "bytes": 43666,
+      "path": "data/dev/pcd/oproofs-s00002-r00002148-n000004-0000-ed73675622d4ed9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
+      "sha256": "ed73675622d4ed9c5d168d9455d473e06dc3d36a5be76db05cd55266367f67d9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002148-n000004-0000-07e0ff37fbd7b832.parquet",
-      "sha256": "07e0ff37fbd7b83259678bc6d6fc10a1430c9f7dae9c67a2aad10a8bd30c69bd",
       "bytes": 44849,
+      "path": "data/internal_test/pcd/oproofs-s00002-r00002148-n000004-0000-07e0ff37fbd7b832.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
+      "sha256": "07e0ff37fbd7b83259678bc6d6fc10a1430c9f7dae9c67a2aad10a8bd30c69bd"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2148",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2149",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2150",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2151"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002148.lean\",\"75cb2091759e888236b06f45dbee163a5be7127dfb7ad500a58f839d49abc177\",0,\"lean_workbook_14101\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002149.lean\",\"0c65f0e873e5f4c96ba16629e864b716d0e073aaf63ea532701ca7efbbfd213d\",0,\"lean_workbook_56759\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002150.lean\",\"5a2e78da1e830beebae0b3eb12ae572ceeba0ba6bf3a21a54b16f712ed87731f\",0,\"lean_workbook_plus_45766\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002151.lean\",\"8e71383469a51202127e3b985b6f8d10fe5bcd46778dec20c2e6f5abb20ae763\",0,\"lean_workbook_plus_10918\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002152-n000004.json b/manifests/batches/oproofs/s00002-r00002152-n000004.json
index e646319e53afc654ec4202b72f9735b5e97ef8a4..570854aa5da40bd820f4218325056754fe0bcfaf 100644
--- a/manifests/batches/oproofs/s00002-r00002152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002152-n000004",
   "batch_fingerprint": "6edfcbdbf6d7382d88f9a5abd585eda5fef9884c7978d0c6e750439438caba3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002152-n000004-0000-b793d8adba9c12ac.parquet",
-      "sha256": "b793d8adba9c12ac82c71cc8de8989480472d4bae957ea2c5bf3c546575ab1dd",
-      "bytes": 158303,
-      "rows": 18,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002152-n000004-0000-dbb40d963060b1ac.parquet",
-      "sha256": "dbb40d963060b1ac5564bf251ac9d8a95d76125bfe1a42ac10ca851159471848",
-      "bytes": 94517,
-      "rows": 4,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2153",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002153.lean\",\"3397475813716ffda2f70209b689719dc530db5460ead38e6e79dc030d624ff2\",0,\"lean_workbook_plus_15088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002154.lean\",\"c96311cd195ed31e5c9232cac1537df6111d1504733f39f1b22d70e08aa2d7d3\",0,\"lean_workbook_41635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002155.lean\",\"acf007b90bc5f2c0cd1f8edf18cc53c334ba05d330246b44a772940db1191835\",0,\"necessary_but_not_sufficient_condition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158303,
+      "path": "data/train/p80/oproofs-s00002-r00002152-n000004-0000-b793d8adba9c12ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b793d8adba9c12ac82c71cc8de8989480472d4bae957ea2c5bf3c546575ab1dd"
+    },
+    {
+      "bytes": 94517,
+      "path": "data/dev/p80/oproofs-s00002-r00002152-n000004-0000-dbb40d963060b1ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dbb40d963060b1ac5564bf251ac9d8a95d76125bfe1a42ac10ca851159471848"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002156-n000004.json b/manifests/batches/oproofs/s00002-r00002156-n000004.json
index 188531964249471c076cbfbc75c44a31ffcd57fc..84342e9616a4d3930d55d88596f1ddbc28a64520 100644
--- a/manifests/batches/oproofs/s00002-r00002156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002156-n000004",
   "batch_fingerprint": "f780c55770f90e316e1d6e0516f74db7e7ade9b4e25920911cee0b5fe51b8fb5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002156-n000004-0000-d0dcb603415abc0b.parquet",
-      "sha256": "d0dcb603415abc0b6347ddd33053a422d1e09cced67d60d15d9568b24431fd53",
-      "bytes": 300710,
-      "rows": 20,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002157.lean\",\"48c38a020c0d29204fae4c0449faf247e925de49ca9c625736e9a2eac2c4c368\",0,\"lean_workbook_43756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002158.lean\",\"8d908e14a73e9cacb65ecbfaa04e3b951de070f51675669fa4ac75d8ac3c8d32\",0,\"lean_workbook_plus_77409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002159.lean\",\"a9b16bf3a38f1255d15b06f7e5841ebf4d18f9fba4d6dba2d5b2cd34e9bba62a\",0,\"lean_workbook_13223\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300710,
+      "path": "data/train/pc7/oproofs-s00002-r00002156-n000004-0000-d0dcb603415abc0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d0dcb603415abc0b6347ddd33053a422d1e09cced67d60d15d9568b24431fd53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002160-n000004.json b/manifests/batches/oproofs/s00002-r00002160-n000004.json
index ca95f1041d556630bba31412d898cd0f7f3c1d78..4529551678c7d1e9af78a506a19e88e9d1845872 100644
--- a/manifests/batches/oproofs/s00002-r00002160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002160-n000004",
   "batch_fingerprint": "5faa32ab501188351393e34b93397d91b46238d6b7a236b87c4ff960a2ca5002",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002160-n000004-0000-8bf7fa94139f7a8e.parquet",
-      "sha256": "8bf7fa94139f7a8e67a14285f8f13a883529a154fb85760316dcc753e78a02b6",
-      "bytes": 178278,
-      "rows": 20,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002161.lean\",\"774074c8805cea9043332472385d869c1ba0a208f5b125086019f8015b8d57f0\",0,\"lean_workbook_plus_42254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002162.lean\",\"505fd9c4a19bea0808ef38b5e9705802615cf9c654a9cd6665d029698df7c665\",0,\"lean_workbook_plus_40876\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002163.lean\",\"2ae81e2d909ffc49b5e7b8d0c6bbecbe118412afc71d55f718d26efd9a87ac01\",0,\"circular_arrangement_with_nonadjacent_constraint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178278,
+      "path": "data/train/pe3/oproofs-s00002-r00002160-n000004-0000-8bf7fa94139f7a8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8bf7fa94139f7a8e67a14285f8f13a883529a154fb85760316dcc753e78a02b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002164-n000004.json b/manifests/batches/oproofs/s00002-r00002164-n000004.json
index 482ae8dbf460e79e348ff5c646c56a16f23dd9df..a99ef5f4cad820adcce713b4095eb92c15ad3d54 100644
--- a/manifests/batches/oproofs/s00002-r00002164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002164-n000004",
   "batch_fingerprint": "c229a569ebe63294b7855de113d6e8b0277057f4dccd6f134e151d6ce584dc6a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002164-n000004-0000-944a8019fb4c9083.parquet",
-      "sha256": "944a8019fb4c9083580be1d15830ae8d0f740f176b7a0a2972e955fd2b959a26",
-      "bytes": 189131,
-      "rows": 8,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002164-n000004-0000-77fb443f330afde2.parquet",
-      "sha256": "77fb443f330afde2c8cd727da1e05a176b84b3d236bc3fdf19a61deeb844c634",
-      "bytes": 183283,
-      "rows": 10,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002165.lean\",\"bca59a3ea4af4fdcb0d3c6ec12c95cd4ae70f839823113c7a3fc0f8208965d69\",0,\"lean_workbook_plus_71943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002166.lean\",\"46d5ec33d1c6ab1fbd1b52672f92ca3f5048630989cb87626eb7e6a5ca16c7f4\",0,\"lean_workbook_29799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002167.lean\",\"d5c8dc717c01ac4cb09b10bf98e09cc3c97ab7fb4927c4de4762eab4bedd13c5\",0,\"lean_workbook_plus_60664\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189131,
+      "path": "data/train/pac/oproofs-s00002-r00002164-n000004-0000-944a8019fb4c9083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "944a8019fb4c9083580be1d15830ae8d0f740f176b7a0a2972e955fd2b959a26"
+    },
+    {
+      "bytes": 183283,
+      "path": "data/internal_test/pac/oproofs-s00002-r00002164-n000004-0000-77fb443f330afde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "77fb443f330afde2c8cd727da1e05a176b84b3d236bc3fdf19a61deeb844c634"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002168-n000004.json b/manifests/batches/oproofs/s00002-r00002168-n000004.json
index 2f86cb99503bc5e03503684bdbbe63d08fd47397..ac8870c42c2deca2228841492cd279848287df09 100644
--- a/manifests/batches/oproofs/s00002-r00002168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002168-n000004",
   "batch_fingerprint": "d82e25889c69e50f7f513ad8e9fc648addafd01b2e38896784bd5c4bb5aee0ef",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002168-n000004-0000-7d537fe767c1516a.parquet",
-      "sha256": "7d537fe767c1516a1ca4dea0f6d0182f9a35036b261d0373bf1c3a6f648136b6",
-      "bytes": 78798,
-      "rows": 10,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002168-n000004-0000-c581c6d3f4256868.parquet",
-      "sha256": "c581c6d3f4256868a66a4b7fe9efccc839afd4fc4744354266720eed73d1544c",
-      "bytes": 76135,
-      "rows": 2,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2169",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002169.lean\",\"6f0031aa956a32a05f3fa97dd0ef9f16d0b2486a019311eae6c99dad4a9b1cca\",0,\"lean_workbook_plus_80084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002170.lean\",\"6e62de2226d652a5e595a716939cd0535fe74d0916463e045f6658045d57893f\",0,\"lean_workbook_plus_49269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002171.lean\",\"d1c1b288d308ac764ec87f7f3c0354c48244d4e5b2cf94eaa24953fb965f42a6\",0,\"lean_workbook_plus_75083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78798,
+      "path": "data/train/p77/oproofs-s00002-r00002168-n000004-0000-7d537fe767c1516a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7d537fe767c1516a1ca4dea0f6d0182f9a35036b261d0373bf1c3a6f648136b6"
+    },
+    {
+      "bytes": 76135,
+      "path": "data/internal_test/p77/oproofs-s00002-r00002168-n000004-0000-c581c6d3f4256868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c581c6d3f4256868a66a4b7fe9efccc839afd4fc4744354266720eed73d1544c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002172-n000004.json b/manifests/batches/oproofs/s00002-r00002172-n000004.json
index 4d776d0ce9cee2dd2e7a4f833156d7df8b6ab079..44deb0dc05798235cd003d41d2f10f9cc895e90b 100644
--- a/manifests/batches/oproofs/s00002-r00002172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002172-n000004",
   "batch_fingerprint": "351e613d04208379a5bd2260c1cbc6c17eaa9b0352fd49626171df5efc925b78",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002172-n000004-0000-80cf386c4e637fb3.parquet",
-      "sha256": "80cf386c4e637fb315e768ec007f7dcc88c9e495f4b82416726d631c2af7282b",
-      "bytes": 388993,
-      "rows": 22,
-      "revision": "cc4a1f8b14a283935c80960def8ac8f47054a037"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002173.lean\",\"5cc5a31a77f1f4c77f07c18b50b5c4c51fa8ccedcc9a11d355be35a6c4b5a7b6\",0,\"lean_workbook_plus_27491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002174.lean\",\"4dae0b1282c5d0be04fb15a0339aa4a2e8b8913d4992eb9351e129c508841822\",0,\"lean_workbook_plus_18022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002175.lean\",\"60dfdac405ce28cda102a0ce399644f96436feeb80a69609a464f72fe9061a81\",0,\"lean_workbook_plus_52382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388993,
+      "path": "data/train/p18/oproofs-s00002-r00002172-n000004-0000-80cf386c4e637fb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "80cf386c4e637fb315e768ec007f7dcc88c9e495f4b82416726d631c2af7282b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002176-n000004.json b/manifests/batches/oproofs/s00002-r00002176-n000004.json
index 0d729b6e13725bb73104620ffe16a8c6b5ec2847..1d097c620f91c50291e212645f08ccf43fe41f28 100644
--- a/manifests/batches/oproofs/s00002-r00002176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002176-n000004",
   "batch_fingerprint": "5a16989e0be44ed51ac205769393d89d90e6c6b565e65465e59ba6b9710146ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002176-n000004-0000-cc300884ca4bd6c4.parquet",
-      "sha256": "cc300884ca4bd6c45941287d14d3b4b4a7646ae625755b8f4228de16c8f42085",
-      "bytes": 331856,
-      "rows": 18,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002176-n000004-0000-9656ef24f620b3ca.parquet",
-      "sha256": "9656ef24f620b3caeed7272958f7ae60b52237a1c30e524ffe90711074c74951",
-      "bytes": 138437,
-      "rows": 4,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002177.lean\",\"9c3587cc5a958a77fec86766a8fd7349799f25113a9598816ae21b0d3627bbea\",0,\"lean_workbook_33639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002178.lean\",\"0cbd977f853e63c8d8b9a275a6fa3cf1d3bb8592a1ff088386a63aa53493b157\",0,\"lean_workbook_plus_8328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002179.lean\",\"b3c536ddbccad7e8903565c1bbd004ee89d1a39b43eb0d0da80db82115050ac9\",0,\"lean_workbook_plus_46412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331856,
+      "path": "data/train/pcb/oproofs-s00002-r00002176-n000004-0000-cc300884ca4bd6c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cc300884ca4bd6c45941287d14d3b4b4a7646ae625755b8f4228de16c8f42085"
+    },
+    {
+      "bytes": 138437,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00002176-n000004-0000-9656ef24f620b3ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9656ef24f620b3caeed7272958f7ae60b52237a1c30e524ffe90711074c74951"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002180-n000004.json b/manifests/batches/oproofs/s00002-r00002180-n000004.json
index ce8c15e8df4015774824722931c160fe16c45b0a..9f2676c160820871a59678d49b376dee901efb5e 100644
--- a/manifests/batches/oproofs/s00002-r00002180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002180-n000004",
   "batch_fingerprint": "e6b17df5a12949342f9df415e6ac7ec80929fefb203b692316e0fb52c47cced2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002180-n000004-0000-33d550c43fca6e77.parquet",
-      "sha256": "33d550c43fca6e772afb97fc3916dadff58445de8a282c66addbf56b207de6fc",
-      "bytes": 645073,
-      "rows": 10,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002180-n000004-0001-7bc540177c4d7a1c.parquet",
-      "sha256": "7bc540177c4d7a1cc0a8ea1eff8f3c4a9535f9be2436757d4b89039468db4067",
-      "bytes": 1016183,
-      "rows": 12,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002181.lean\",\"472ab2a20efde3792b835562ac068905a4fab978c7c812f8490a84b2583279c0\",0,\"lean_workbook_plus_37616\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002182.lean\",\"30547d17f3a542c4bb399b8ac080e4be011ef432cf5707bf2b2025698a4f916d\",0,\"lean_workbook_plus_60474\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002183.lean\",\"4eff688e637b8eecffda8dd7b88b098bb2227c66e6be1337aac40f995c3662fd\",0,\"lean_workbook_plus_24084\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 645073,
+      "path": "data/train/pe9/oproofs-s00002-r00002180-n000004-0000-33d550c43fca6e77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "33d550c43fca6e772afb97fc3916dadff58445de8a282c66addbf56b207de6fc"
+    },
+    {
+      "bytes": 1016183,
+      "path": "data/train/pe9/oproofs-s00002-r00002180-n000004-0001-7bc540177c4d7a1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "7bc540177c4d7a1cc0a8ea1eff8f3c4a9535f9be2436757d4b89039468db4067"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002184-n000004.json b/manifests/batches/oproofs/s00002-r00002184-n000004.json
index 02b75890812fd22fff5336c80aaf294111bdc24f..4095bd4b02f128940ab6a82ed7c75c6cfdb1d829 100644
--- a/manifests/batches/oproofs/s00002-r00002184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002184-n000004",
   "batch_fingerprint": "7e7e04961808ebe1b5003d62f9984648084b2c3f1b1062f39fb37314752cb1af",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002184-n000004-0000-c6a803dc2e832a74.parquet",
-      "sha256": "c6a803dc2e832a74efdfae363a754aa48fff9b0000602a9811674a1e3420207a",
-      "bytes": 795482,
-      "rows": 16,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002184-n000004-0001-e7c77e10a1844d41.parquet",
-      "sha256": "e7c77e10a1844d417ad84af3a28b678bb9646f762755a8c204c98ab7d14cc644",
-      "bytes": 373172,
-      "rows": 2,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002185.lean\",\"8742d2bf353f5a75d3c5111e77958e25327334f619a86157208852ac65496d55\",0,\"lean_workbook_plus_65403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002186.lean\",\"4122c11e0792d8d15431c8f5026ea55d7e9ad436977a62ded51e692b176747aa\",0,\"lean_workbook_34916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002187.lean\",\"b3e287d45c5eba00652e8a3f6ff9e7aef0f6145c326474814862077fa62785cb\",0,\"lean_workbook_plus_33100\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 795482,
+      "path": "data/train/p56/oproofs-s00002-r00002184-n000004-0000-c6a803dc2e832a74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c6a803dc2e832a74efdfae363a754aa48fff9b0000602a9811674a1e3420207a"
+    },
+    {
+      "bytes": 373172,
+      "path": "data/train/p56/oproofs-s00002-r00002184-n000004-0001-e7c77e10a1844d41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e7c77e10a1844d417ad84af3a28b678bb9646f762755a8c204c98ab7d14cc644"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002188-n000004.json b/manifests/batches/oproofs/s00002-r00002188-n000004.json
index bac19a1d79c06d3362338f542c125c30a895de2a..5b9ff5c66e6b94e38a245b080bbb2f4efbf61e5e 100644
--- a/manifests/batches/oproofs/s00002-r00002188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002188-n000004",
   "batch_fingerprint": "062f279b9458ac943e030a365e55315dd022f592b976b1f1d3ac351cd255830f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002188-n000004-0000-9ce25b6719b09137.parquet",
-      "sha256": "9ce25b6719b091375d5b0c3ffa60df89368be926936573aaa6e8a378bd3a08f2",
-      "bytes": 1208146,
-      "rows": 24,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002188-n000004-0000-f2b9212ceca8c07e.parquet",
-      "sha256": "f2b9212ceca8c07eb819363ea2fb6df832193fb310fdadec48f2564522b63d53",
-      "bytes": 81171,
-      "rows": 9,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002189.lean\",\"9cb349c0713f7a828512cf37ca11e9271976835c461e3bc1c9a18b808c8d8cd5\",0,\"lean_workbook_plus_68541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002190.lean\",\"1396e0792cf4a4602276a26057b7148b939d776e5990792aa12f01f46c1e0a14\",0,\"circle_equation_from_diameter\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002191.lean\",\"a81184796f3af2c0376e1f4f06c47d555e843ad9ec8292c8315703dd02603664\",0,\"lean_workbook_plus_23291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1208146,
+      "path": "data/train/p84/oproofs-s00002-r00002188-n000004-0000-9ce25b6719b09137.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "9ce25b6719b091375d5b0c3ffa60df89368be926936573aaa6e8a378bd3a08f2"
+    },
+    {
+      "bytes": 81171,
+      "path": "data/internal_test/p84/oproofs-s00002-r00002188-n000004-0000-f2b9212ceca8c07e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f2b9212ceca8c07eb819363ea2fb6df832193fb310fdadec48f2564522b63d53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002192-n000004.json b/manifests/batches/oproofs/s00002-r00002192-n000004.json
index 6de2536b170cbbb437a07f61e0f5e7cf469ad770..1b6ba6c1167823cd88c3d14d00efecf603d26df0 100644
--- a/manifests/batches/oproofs/s00002-r00002192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002192-n000004",
   "batch_fingerprint": "8f58854124eb25c651a7d8918605b41d7c9e76b1673bf8f0ab4ee355f415a2c7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002192-n000004-0000-df0a97c17f13a9a7.parquet",
-      "sha256": "df0a97c17f13a9a7648056ec7dab157d1b2d20039edab3d4f592751577eadaec",
-      "bytes": 277923,
-      "rows": 15,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002193.lean\",\"67a3779fe4a916c50ce18afea239328616565aa51644343a2bc0eb41605af3f0\",0,\"lean_workbook_50239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002194.lean\",\"369fa7afbaddee3396e051aa80ce91ad29f1964cd0f54e9193f830aa3608583e\",0,\"lean_workbook_plus_37589\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002195.lean\",\"f21f72ae293acd40e74593af81d5f892fe4464291109e3b98dd2e5fcf753725d\",0,\"lean_workbook_plus_33256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277923,
+      "path": "data/train/p7b/oproofs-s00002-r00002192-n000004-0000-df0a97c17f13a9a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "df0a97c17f13a9a7648056ec7dab157d1b2d20039edab3d4f592751577eadaec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002196-n000004.json b/manifests/batches/oproofs/s00002-r00002196-n000004.json
index 5b9cf8b46f0b8169c255a07d100916e65af86c51..b8d187331a72c76c5df85fc48bdcfcdd6114239b 100644
--- a/manifests/batches/oproofs/s00002-r00002196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002196-n000004",
   "batch_fingerprint": "0930578d1a989f439e19a417bb66c654ac4d374d1c65c7afcd23fc0c9c695c50",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002196-n000004-0000-2bf26fc8fa6162af.parquet",
-      "sha256": "2bf26fc8fa6162afb6f3ac3148dbbcdf07a7f84e5b1a3c2dad278f17d1ce9430",
-      "bytes": 523658,
-      "rows": 30,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002197.lean\",\"07e228700ebd5bb4f5b8d240e2fe772b20b8fc418263db43071a67f8441b8f9a\",0,\"lean_workbook_35420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002198.lean\",\"79ed9aa785d26ba43afc4aec94382f1fc121de0465dad839b7248118e3630dcb\",0,\"lean_workbook_plus_67087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002199.lean\",\"bd90fef51d5815e8435e89ee444360d23f6a8c4caf2848bb4e65e8683cdee649\",0,\"lean_workbook_plus_39013\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523658,
+      "path": "data/train/p28/oproofs-s00002-r00002196-n000004-0000-2bf26fc8fa6162af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "2bf26fc8fa6162afb6f3ac3148dbbcdf07a7f84e5b1a3c2dad278f17d1ce9430"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002200-n000004.json b/manifests/batches/oproofs/s00002-r00002200-n000004.json
index 892056b41b8db078b0b1e5088dbfd42c2311b7ab..f6f28527ea3170ebe86b679f574e5f5c6f8c394c 100644
--- a/manifests/batches/oproofs/s00002-r00002200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002200-n000004",
   "batch_fingerprint": "7003a337556db061d15c97a0f0d431ac234d61054208a3e23809c2e894603530",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002200-n000004-0000-66acbca91c0d9726.parquet",
-      "sha256": "66acbca91c0d9726c93ab977dea24c0448dd0c8d996e8e33736156bfc80b2e81",
-      "bytes": 688268,
-      "rows": 15,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002200-n000004-0000-567e70fb8a88c6d3.parquet",
-      "sha256": "567e70fb8a88c6d3aff930bb5ad276fd9ed9c0ececb0e06d069be6d1194d6605",
-      "bytes": 42778,
-      "rows": 4,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002201.lean\",\"ebe5dedad94e33ab72f23bb554f6fe3f7da1179f7b86ee0a3d68fb1d509b72ae\",0,\"lean_workbook_plus_45069\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002202.lean\",\"6ea58938c8c39962d790ae3352238b73b15031c2c87b7c707e16822d72dab7bf\",0,\"lean_workbook_plus_45278\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002203.lean\",\"37e52ce75b7f33ca1bd7eeaedd30da4fdee2307e5538c49e086bac4cc5806d91\",0,\"lean_workbook_14101\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 688268,
+      "path": "data/train/p43/oproofs-s00002-r00002200-n000004-0000-66acbca91c0d9726.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "66acbca91c0d9726c93ab977dea24c0448dd0c8d996e8e33736156bfc80b2e81"
+    },
+    {
+      "bytes": 42778,
+      "path": "data/internal_test/p43/oproofs-s00002-r00002200-n000004-0000-567e70fb8a88c6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "567e70fb8a88c6d3aff930bb5ad276fd9ed9c0ececb0e06d069be6d1194d6605"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002204-n000004.json b/manifests/batches/oproofs/s00002-r00002204-n000004.json
index 68082ca04e153955bc78326d7b5d33da35957459..1c69bf01b3ac5452da2daf7eacf7e20d90c74112 100644
--- a/manifests/batches/oproofs/s00002-r00002204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002204-n000004",
   "batch_fingerprint": "d45151f03940b41c1ecf4133a5baefcb5082d6b4b9b8e7a9ddf47520161f6e3a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002204-n000004-0000-bc7dc3e33b78cf09.parquet",
-      "sha256": "bc7dc3e33b78cf09cc006e1c2632d94992e0dfcf487eda655e78b4a3ddbcfa1d",
-      "bytes": 145898,
-      "rows": 19,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2205",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002205.lean\",\"9ccd8d4936b84ace84732048c1884b686b97267e6c54ccf1233bd19d2a5c12c7\",0,\"lean_workbook_plus_45766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002206.lean\",\"edc8e2379e0d3f00c0b606cfcd6d8c14716719dc69ffe33cbf9151e51558078d\",0,\"lean_workbook_plus_10918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002207.lean\",\"4d5c5e17147f9c6c2bd222401dbb2cde612d51a6e7f64664f4b5a4c75b67a576\",0,\"lean_workbook_plus_10769\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145898,
+      "path": "data/train/p99/oproofs-s00002-r00002204-n000004-0000-bc7dc3e33b78cf09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "bc7dc3e33b78cf09cc006e1c2632d94992e0dfcf487eda655e78b4a3ddbcfa1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002208-n000004.json b/manifests/batches/oproofs/s00002-r00002208-n000004.json
index c786375f9fdb4748631b43bf9d8c3c28c3c3f9c9..7fee598c4c9604dc3531656c7af9fc6f6ca930af 100644
--- a/manifests/batches/oproofs/s00002-r00002208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002208-n000004",
   "batch_fingerprint": "ac26e673e3536c8bc3659e32a2c6f730e1b720309e47565467b8c69955775dd0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002208-n000004-0000-b70306362c6adbd1.parquet",
-      "sha256": "b70306362c6adbd1a6eddff96d4f74f906a7f9342a4ac8316072322786a2f4a4",
-      "bytes": 627178,
-      "rows": 12,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002208-n000004-0000-75378cb2016097ad.parquet",
-      "sha256": "75378cb2016097ad03f137a042fdf1ebde40be58bde347c170ca98c7437f94f6",
-      "bytes": 131625,
-      "rows": 3,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002209.lean\",\"b326f515bc0687477c7ac2abecf950dc2a72b239c99f6fe5a42b8c95b92ae2d8\",0,\"lean_workbook_plus_15088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002210.lean\",\"1874ccfc31e76a975fd62be6586dfadbcfc4c0b2602cac8eeecb0f5d49c2e4e0\",0,\"necessary_but_not_sufficient_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002211.lean\",\"b148d85a22e6884ec98caadf50c80f0d41b43afde4d96698735fb49c27bbb781\",0,\"lean_workbook_31422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 627178,
+      "path": "data/train/p0c/oproofs-s00002-r00002208-n000004-0000-b70306362c6adbd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b70306362c6adbd1a6eddff96d4f74f906a7f9342a4ac8316072322786a2f4a4"
+    },
+    {
+      "bytes": 131625,
+      "path": "data/dev/p0c/oproofs-s00002-r00002208-n000004-0000-75378cb2016097ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "75378cb2016097ad03f137a042fdf1ebde40be58bde347c170ca98c7437f94f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002212-n000004.json b/manifests/batches/oproofs/s00002-r00002212-n000004.json
index 6577db84c9fee96c7a67c791cbf593728dec75cb..89de4b1ca94f324770cec4c5d932c7d723525374 100644
--- a/manifests/batches/oproofs/s00002-r00002212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002212-n000004",
   "batch_fingerprint": "36576750887291afd954a6c603b1533d2d8d744a1d2ac56ba7df97c1f1841f64",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002212-n000004-0000-bd38c4fd4993cf77.parquet",
-      "sha256": "bd38c4fd4993cf7767ce0b79001f0e72e538efd39610654d8086cfdde6f25f31",
-      "bytes": 814890,
-      "rows": 24,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002212-n000004-0001-f0253fdeade87fce.parquet",
-      "sha256": "f0253fdeade87fce4829a95efbc136c8c38a6fdb26acb5f6c4ce157004b83874",
-      "bytes": 406053,
-      "rows": 3,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2213",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002212.lean\",\"6bb4ae8898e98a9679f316f8c6e6f2a06b345feda85e33d96c158b6f50622834\",0,\"lean_workbook_plus_43376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002213.lean\",\"826da24ac5b3e65faf2ddcd889d32673f8199bdf3dfba32071197a0d9c7efa7a\",0,\"lean_workbook_plus_21087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002214.lean\",\"9ec1e5135a6ce7d3aaf9825f73df184af42dc1a13f691830bd6433555adb8eaa\",0,\"lean_workbook_plus_28048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 814890,
+      "path": "data/train/p84/oproofs-s00002-r00002212-n000004-0000-bd38c4fd4993cf77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "bd38c4fd4993cf7767ce0b79001f0e72e538efd39610654d8086cfdde6f25f31"
+    },
+    {
+      "bytes": 406053,
+      "path": "data/train/p84/oproofs-s00002-r00002212-n000004-0001-f0253fdeade87fce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f0253fdeade87fce4829a95efbc136c8c38a6fdb26acb5f6c4ce157004b83874"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002216-n000004.json b/manifests/batches/oproofs/s00002-r00002216-n000004.json
index b48b1e139b0325981a0da3f2aa3a330df227b478..75bacdf9c92a48628007f8a750aeacebc18e1e17 100644
--- a/manifests/batches/oproofs/s00002-r00002216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002216-n000004",
   "batch_fingerprint": "7db47a4844babb8a6d7a907994c54034972e4f8c417c89c0f29b5ae4210d740e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002216-n000004-0000-34ff6ebdcfaccd88.parquet",
-      "sha256": "34ff6ebdcfaccd886ae70bb9e50f03d3bde70698b05feaa699c6f5bff7daff0e",
-      "bytes": 136933,
-      "rows": 13,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002217.lean\",\"12f8f54455ac14df21b4b650e3e2815cb5c7e88d8787706288354e76929a23b7\",0,\"lean_workbook_49654\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002218.lean\",\"7bab83891db44d50cef194b70297950871d40e6e5fa2323c0a35d0e14accab92\",0,\"lean_workbook_43756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002219.lean\",\"d933c08477284a8d42fe5950073b9b43cb3292489afa1dd997feb33c149ba027\",0,\"lean_workbook_plus_77409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136933,
+      "path": "data/train/p3f/oproofs-s00002-r00002216-n000004-0000-34ff6ebdcfaccd88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "34ff6ebdcfaccd886ae70bb9e50f03d3bde70698b05feaa699c6f5bff7daff0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002220-n000004.json b/manifests/batches/oproofs/s00002-r00002220-n000004.json
index a3fe8f19506ee5685f327a11868209fc31e4bb58..608ada523d87c8aadf359ff20e93e4e014b369f2 100644
--- a/manifests/batches/oproofs/s00002-r00002220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002220-n000004",
   "batch_fingerprint": "ba256e783a4ab0e871cd1aa43cd2fea1ff0a6eb5b0fe26cce3e1adae614af1be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002220-n000004-0000-9ddc511b45623714.parquet",
-      "sha256": "9ddc511b45623714f683a8dae939a79ded5814f22b26760249e19926f20144f3",
-      "bytes": 141985,
-      "rows": 17,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002221.lean\",\"1c85f5572bfd8dfad2f6bdb5f9e0ffaf906644d169827d2c580a4ef0fdd5ad51\",0,\"circular_arrangement_with_nonadjacent_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002222.lean\",\"83c5ee43b74fdeb18cd03365800b9975ee9d1fc1a62e822422bdc3a9fb0623e2\",0,\"lean_workbook_plus_38000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002223.lean\",\"60f6b9074154dfc70f88298971bc2513f12a017d107766ba3269c5c231ccce9e\",0,\"lean_workbook_plus_28109\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141985,
+      "path": "data/train/p26/oproofs-s00002-r00002220-n000004-0000-9ddc511b45623714.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9ddc511b45623714f683a8dae939a79ded5814f22b26760249e19926f20144f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002224-n000004.json b/manifests/batches/oproofs/s00002-r00002224-n000004.json
index 23aa8f287fa26112baba1cb1d92bddf8e2ed9f7b..e3ff3eee49e6256d30ea2f21535288d18560e38a 100644
--- a/manifests/batches/oproofs/s00002-r00002224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002224-n000004",
   "batch_fingerprint": "cc84206a01560752b1e15b3d9fe6c00da991cbc635fcc5f843655a1ba56a7eab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002224-n000004-0000-f7ba68b54ecc4c99.parquet",
-      "sha256": "f7ba68b54ecc4c99af396153427d14727fa287ae6fad8186666740aae46feead",
-      "bytes": 73398,
-      "rows": 12,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002224-n000004-0000-29d59b491ecbf060.parquet",
-      "sha256": "29d59b491ecbf06070f626dc065ab2c4e4ae8ca07e658f467101e689d310ec60",
-      "bytes": 75481,
-      "rows": 4,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2225",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002225.lean\",\"7f26ceb461c16d9fc030605d31000ec7d44775894cf260e9fca44cb0997f781c\",0,\"lean_workbook_plus_80084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002226.lean\",\"f07430ee1a703835c02bf3e373c8c4347e66eec5b316866549b2da400fcee96d\",0,\"lean_workbook_53939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002227.lean\",\"94e97054181819134ed736cd732e8544fd59ca52103b8922fb9f0587cf67f723\",0,\"lean_workbook_29799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73398,
+      "path": "data/train/pcb/oproofs-s00002-r00002224-n000004-0000-f7ba68b54ecc4c99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f7ba68b54ecc4c99af396153427d14727fa287ae6fad8186666740aae46feead"
+    },
+    {
+      "bytes": 75481,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00002224-n000004-0000-29d59b491ecbf060.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "29d59b491ecbf06070f626dc065ab2c4e4ae8ca07e658f467101e689d310ec60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002228-n000004.json b/manifests/batches/oproofs/s00002-r00002228-n000004.json
index 37df1321ff840a53c9621b246ed6c46859d1ced3..4df43bfe67f767ec210406a3a31228a2cea669d1 100644
--- a/manifests/batches/oproofs/s00002-r00002228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002228-n000004",
   "batch_fingerprint": "85124838c8831ab26f2445e1ba05ebdb208eafd9235eec911349139c01bc06de",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002228-n000004-0000-f8126d0aaf199998.parquet",
-      "sha256": "f8126d0aaf1999989725719d58fff284597b07ab791d36c3033dfce9da46b5c1",
-      "bytes": 254022,
-      "rows": 16,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002228-n000004-0000-629baf85a02f4e52.parquet",
-      "sha256": "629baf85a02f4e529243b180b44b5fd82e8080360a49865e9e30321949256ecb",
-      "bytes": 138121,
-      "rows": 2,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002229.lean\",\"482a5637d9ea4ae3af8090dfd88fe4607b4b0931760b289de507ad6bd3c6102e\",0,\"lean_workbook_plus_25487\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002230.lean\",\"6ed457378f51d7fcdd7b34436eaaa3aaedf15d42c2cd8674ad7f45dfc431253b\",0,\"lean_workbook_plus_27491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002231.lean\",\"3ed70e10962a9faa134be8ec6380622d09fabd0ffd6ccdf9c644ac6367623d08\",0,\"lean_workbook_plus_49269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254022,
+      "path": "data/train/pdb/oproofs-s00002-r00002228-n000004-0000-f8126d0aaf199998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f8126d0aaf1999989725719d58fff284597b07ab791d36c3033dfce9da46b5c1"
+    },
+    {
+      "bytes": 138121,
+      "path": "data/internal_test/pdb/oproofs-s00002-r00002228-n000004-0000-629baf85a02f4e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "629baf85a02f4e529243b180b44b5fd82e8080360a49865e9e30321949256ecb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002232-n000004.json b/manifests/batches/oproofs/s00002-r00002232-n000004.json
index 204f97a9ae5573bba29bdd74eb24d5a7a2c11a65..64ed8b4b7e2e5f9f02e824b0e9a971448bd1937b 100644
--- a/manifests/batches/oproofs/s00002-r00002232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002232-n000004",
   "batch_fingerprint": "60c43ebbb52ed37ef60ebe2457835fffa6d10c675aecf4a9f54eb3a3760e11f9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002232-n000004-0000-9cc564512f060f8d.parquet",
-      "sha256": "9cc564512f060f8d32f6eaef528cc83e2ff3714a2b6226cea14257af153ce110",
-      "bytes": 290528,
-      "rows": 15,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002233.lean\",\"90bc9eab0c7054723a1655b66a954cbf1badca8526dc09948d3c1b9414abcfa8\",0,\"lean_workbook_plus_36553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002234.lean\",\"eee9004dbb6e45ab341535f02c846917a48c8d092e4da630324a07cdb13dd792\",0,\"lean_workbook_plus_18022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002235.lean\",\"19a6d6a4354fa31ea97cf1c8c692949d40faad2343b841b6f7fab5f68744dcf8\",0,\"lean_workbook_plus_27073\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290528,
+      "path": "data/train/p1c/oproofs-s00002-r00002232-n000004-0000-9cc564512f060f8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9cc564512f060f8d32f6eaef528cc83e2ff3714a2b6226cea14257af153ce110"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002236-n000004.json b/manifests/batches/oproofs/s00002-r00002236-n000004.json
index 0c72422df3dccc4631ccc1f925b9063980d1f78c..474222d6c56f225f42940b62cfa914ec55b55d5a 100644
--- a/manifests/batches/oproofs/s00002-r00002236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002236-n000004",
   "batch_fingerprint": "2a3d4053ecb426d3494cc118c00d8a8859f93ad01cc44e2049557e82739e8e3a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002236-n000004-0000-25239caca1ab1332.parquet",
-      "sha256": "25239caca1ab13324165ddc8113307f2303eb1eabd231208fa48404da45f2a25",
-      "bytes": 162203,
-      "rows": 17,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002236-n000004-0000-6c11321cc09215c9.parquet",
-      "sha256": "6c11321cc09215c97d8ece319c2e9eca54a5e87cdd97ee21d714c6575cc5148f",
-      "bytes": 208421,
-      "rows": 4,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002237.lean\",\"769bb0a5fd7a530941a00a934ad6cce75606939643ea1b173a997dee348037ca\",0,\"lean_workbook_plus_8328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002238.lean\",\"de057909e5244f282ff397a990a02f19bae6ca10c1cf5d39f5f23dc41bfab435\",0,\"lean_workbook_plus_71943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002239.lean\",\"74b09c25551a7246108ffd0274e5a69cb08d29075f79a18a7ec5c6984dce5a86\",0,\"lean_workbook_plus_50523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162203,
+      "path": "data/train/p45/oproofs-s00002-r00002236-n000004-0000-25239caca1ab1332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "25239caca1ab13324165ddc8113307f2303eb1eabd231208fa48404da45f2a25"
+    },
+    {
+      "bytes": 208421,
+      "path": "data/internal_test/p45/oproofs-s00002-r00002236-n000004-0000-6c11321cc09215c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6c11321cc09215c97d8ece319c2e9eca54a5e87cdd97ee21d714c6575cc5148f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002240-n000004.json b/manifests/batches/oproofs/s00002-r00002240-n000004.json
index e63ce12a073f94e157442c58e26398bed4a84bc4..b949af2e7d9e661da49e41ca54517fab7ccbd506 100644
--- a/manifests/batches/oproofs/s00002-r00002240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002240-n000004",
   "batch_fingerprint": "e23d3e83c3566ce863eca98e1e896fe220082449ec5f5534ebb42853db023da7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002240-n000004-0000-5eccfac44944e847.parquet",
-      "sha256": "5eccfac44944e847208457b1fc4fc701d06a166942b5fceeff60cdc0053636dd",
-      "bytes": 804657,
-      "rows": 22,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002240-n000004-0000-27ac12e5a4d47689.parquet",
-      "sha256": "27ac12e5a4d4768993248ec3738da5e9317d6df6c4b1409e6a2661327f9c6e46",
-      "bytes": 46762,
-      "rows": 3,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002241.lean\",\"0254f4e99f9d24a87861f6717ebfb591cb9eed7b2f88c9c7d81b24e66c1bd5ef\",0,\"lean_workbook_plus_33843\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002242.lean\",\"af05eb56c6203e286333a2061d6eecdba665658e4b9613eb4f53874c2f25beee\",0,\"lean_workbook_plus_37616\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002243.lean\",\"46be91d5e8f7ec2f77a11465be70cdb73c2410c56893a89658ace382981a6772\",0,\"lean_workbook_plus_15153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 804657,
+      "path": "data/train/p58/oproofs-s00002-r00002240-n000004-0000-5eccfac44944e847.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5eccfac44944e847208457b1fc4fc701d06a166942b5fceeff60cdc0053636dd"
+    },
+    {
+      "bytes": 46762,
+      "path": "data/internal_test/p58/oproofs-s00002-r00002240-n000004-0000-27ac12e5a4d47689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "27ac12e5a4d4768993248ec3738da5e9317d6df6c4b1409e6a2661327f9c6e46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002244-n000004.json b/manifests/batches/oproofs/s00002-r00002244-n000004.json
index 7c1bafdce84dc216d030b55191506a3ce7193668..02024710cfcd8d870a13afa2922ff22292d63111 100644
--- a/manifests/batches/oproofs/s00002-r00002244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002244-n000004",
   "batch_fingerprint": "8203ad1e98ebba7d39b4b67054b50869843043310ee1a18042d1bca24274005d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002244-n000004-0000-59f488358d40f6a9.parquet",
-      "sha256": "59f488358d40f6a94e18ad31c141fd1f33be230657e2120e017cd15b12b8eb8b",
-      "bytes": 386040,
-      "rows": 20,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002245.lean\",\"b46ca497cd0f9f72e93d5b6d23f110f02d1f0acbc2238395cad5320677d7390f\",0,\"lean_workbook_plus_63088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002246.lean\",\"0b9a4f09cb5e799cffbfe9712cbeb67ef44f5445bdf7c0b83754a51a36316541\",0,\"lean_workbook_plus_24084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002247.lean\",\"93543910441c9e8c85a6361e3ec2a426788dbfa4012b33fee311d84120d36a06\",0,\"lean_workbook_plus_65403\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386040,
+      "path": "data/train/p9e/oproofs-s00002-r00002244-n000004-0000-59f488358d40f6a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "59f488358d40f6a94e18ad31c141fd1f33be230657e2120e017cd15b12b8eb8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002248-n000004.json b/manifests/batches/oproofs/s00002-r00002248-n000004.json
index 908414eb77ebea4b5ae8d07d64eba6fa947e0def..8acf1fdaa3d05a5d3e7a2d8d51813b2b649d1151 100644
--- a/manifests/batches/oproofs/s00002-r00002248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002248-n000004",
   "batch_fingerprint": "f4592b64bbe3d5113899322fe4a42783daf9b35ebde5d3e0ebe738e78847d5ab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002248-n000004-0000-74d560d4c6dddaab.parquet",
-      "sha256": "74d560d4c6dddaab4c88e9e298740b85047cf30c9ac0a2871326c41c6cec3d17",
-      "bytes": 187002,
-      "rows": 12,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002248-n000004-0000-7ed5ad57f8c927a2.parquet",
-      "sha256": "7ed5ad57f8c927a2701479c9901665860643fb5e515d4b8311bc43e1646c4251",
-      "bytes": 70056,
-      "rows": 5,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002249.lean\",\"c3776d8b779894d0e872d0cdc27050a269aa17dba83df83fc7b60768f6f777d1\",0,\"lean_workbook_plus_41891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002250.lean\",\"b984f34bde2366ac2345082a3b31dd37317edd4260936d20d05371010d04d30b\",0,\"lean_workbook_plus_68541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002251.lean\",\"cb12dbaac78b04900f9552ec8b531f511f4be5daecbb912fffbefb6c965a6752\",0,\"lean_workbook_plus_23291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187002,
+      "path": "data/train/p86/oproofs-s00002-r00002248-n000004-0000-74d560d4c6dddaab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "74d560d4c6dddaab4c88e9e298740b85047cf30c9ac0a2871326c41c6cec3d17"
+    },
+    {
+      "bytes": 70056,
+      "path": "data/internal_test/p86/oproofs-s00002-r00002248-n000004-0000-7ed5ad57f8c927a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7ed5ad57f8c927a2701479c9901665860643fb5e515d4b8311bc43e1646c4251"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002252-n000004.json b/manifests/batches/oproofs/s00002-r00002252-n000004.json
index 5862e086696137ba91b4453fe782f8f8fa284b4b..fae8bda3d95483dfee112a334ef055627e767fcf 100644
--- a/manifests/batches/oproofs/s00002-r00002252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002252-n000004",
   "batch_fingerprint": "2687f219671b7ca55d9db41f48b7c2ea0d7fb04cf2bb0f7ba2ceb3851ac60224",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002252-n000004-0000-ecf0785003263e06.parquet",
-      "sha256": "ecf0785003263e062dd7674957d1222ae253fb31d269b6e340ae2a52e7237ab0",
-      "bytes": 1139043,
-      "rows": 18,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002252-n000004-0001-51d7d1f0fa5bcdd7.parquet",
-      "sha256": "51d7d1f0fa5bcdd71e399d0c73881f0fa50c2ee6f90ec7f74ec368528bfac153",
-      "bytes": 773424,
-      "rows": 6,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002253.lean\",\"45b0263ed028133b8ed0a0b506822cd16c76baf341fb0f40107aaba1fce06f99\",0,\"circle_equation_from_diameter\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002254.lean\",\"8359aa779a5e02f3c086c9de3838371cb45b0e633e34d3f03a1943545214e08d\",0,\"lean_workbook_plus_60466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002255.lean\",\"d97afb57f077c6b7884c57e4925c0a7823592ce1324ee4e37a9fe185c1ab3ed4\",0,\"lean_workbook_34916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1139043,
+      "path": "data/train/p61/oproofs-s00002-r00002252-n000004-0000-ecf0785003263e06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ecf0785003263e062dd7674957d1222ae253fb31d269b6e340ae2a52e7237ab0"
+    },
+    {
+      "bytes": 773424,
+      "path": "data/train/p61/oproofs-s00002-r00002252-n000004-0001-51d7d1f0fa5bcdd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "51d7d1f0fa5bcdd71e399d0c73881f0fa50c2ee6f90ec7f74ec368528bfac153"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002256-n000004.json b/manifests/batches/oproofs/s00002-r00002256-n000004.json
index f1011b406f418c0e7a62ffe081d06e1fe32d2d30..2e4f7638be8f3c8532e7d81ca0ac9d0a1d2eeeb4 100644
--- a/manifests/batches/oproofs/s00002-r00002256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002256-n000004",
   "batch_fingerprint": "1bab5efab1e04f1c8e705b1d5e102c892270d6e3d818fd2662275e7b02b39cf0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002256-n000004-0000-5d0a4a4642cff926.parquet",
-      "sha256": "5d0a4a4642cff92639319b7b96407fe314ee471b5a21c5197c261048834ceba9",
-      "bytes": 228774,
-      "rows": 14,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002257.lean\",\"f4d6e57d0fdea04c9815e210dfd3dcbed6ff704a7a92c59f6c3b8f05db7bf72c\",0,\"lean_workbook_plus_33256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002258.lean\",\"53dbb0e98f2a59d8919ffb5d840ff2dc3e9a44e0c3c76d73929fdd667b10976e\",0,\"lean_workbook_plus_70037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002259.lean\",\"c15b084f7b74fe5bb0566b02ff9b5f8f14a8704ae573dd48424e41da0c7ef720\",0,\"lean_workbook_plus_37589\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228774,
+      "path": "data/train/p76/oproofs-s00002-r00002256-n000004-0000-5d0a4a4642cff926.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5d0a4a4642cff92639319b7b96407fe314ee471b5a21c5197c261048834ceba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002260-n000004.json b/manifests/batches/oproofs/s00002-r00002260-n000004.json
index 2e4b341ca35379c4527226f617146f0e2828908c..35e999e1dac9a2485525cc358484766fadffe126 100644
--- a/manifests/batches/oproofs/s00002-r00002260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002260-n000004",
   "batch_fingerprint": "4428430f8478f0d373521cd7a2cc2cfb4e634f34ae029838f33c0c755159a20c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002260-n000004-0000-299cb19c6cabdfc7.parquet",
-      "sha256": "299cb19c6cabdfc7f03d8a2d41aa0dd2fe038a9cfaafc8ed95972ab95d59cfbd",
-      "bytes": 512150,
-      "rows": 22,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2261",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002261.lean\",\"919fe583e450b311c077ada4299bf1594d69c8ad96d6ab4155ecbe1987f1fc88\",0,\"lean_workbook_35420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002262.lean\",\"2c5ba6adc216299882effea65525b679f0e716d57a5baa5a4b0a86d644b32121\",0,\"lean_workbook_plus_45278\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002263.lean\",\"89051e0e7097dbff13a39d69da3ab0b1eb356b6906af76af738fe483cd490768\",0,\"lean_workbook_plus_65932\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512150,
+      "path": "data/train/pa9/oproofs-s00002-r00002260-n000004-0000-299cb19c6cabdfc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "299cb19c6cabdfc7f03d8a2d41aa0dd2fe038a9cfaafc8ed95972ab95d59cfbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002264-n000004.json b/manifests/batches/oproofs/s00002-r00002264-n000004.json
index a1b50e97a135e9f671689f971bdfd0ce90d6d4df..8610697ccf4a6a0bc740c6e02cf2c4875c61b29b 100644
--- a/manifests/batches/oproofs/s00002-r00002264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002264-n000004",
   "batch_fingerprint": "ff950596c188d692d153762620d8e52512fc27ac8a32a1d931cc69244190abbf",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2264",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2265",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2266",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2267"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002264.lean\",\"ce156413dabf33852641993086988b92321aae7069d08d0ac508e0d526717b81\",0,\"lean_workbook_14101\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002265.lean\",\"0c9f86603fdb32408c79c3b8367dfb96aba9593b85642cda85212304ba734a34\",0,\"lean_workbook_plus_54325\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002266.lean\",\"ee204f7e85fd5219738f1516878c114375d7750e3a385e1e79fdd7952e872a4b\",0,\"lean_workbook_plus_45069\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002267.lean\",\"71ed712442f514eb2524a57ff417ae5ec6bfaba2253254a7cf5f69c785bb1f7a\",0,\"lean_workbook_plus_5448\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002264-n000004-0000-6a57917f003817ca.parquet",
-      "sha256": "6a57917f003817ca52d7822cf4fd3d5ba2c2045342af0494b3a46a34cc5134a6",
       "bytes": 837936,
+      "path": "data/train/p5c/oproofs-s00002-r00002264-n000004-0000-6a57917f003817ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 29,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
+      "sha256": "6a57917f003817ca52d7822cf4fd3d5ba2c2045342af0494b3a46a34cc5134a6"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002264-n000004-0001-5634f1e492f608bd.parquet",
-      "sha256": "5634f1e492f608bd05db18a438ff883ea3bc692e7c5a0ae1f6b4eebdfea0e6dd",
       "bytes": 346595,
+      "path": "data/train/p5c/oproofs-s00002-r00002264-n000004-0001-5634f1e492f608bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
+      "sha256": "5634f1e492f608bd05db18a438ff883ea3bc692e7c5a0ae1f6b4eebdfea0e6dd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002264-n000004-0000-13a774eb96b18946.parquet",
-      "sha256": "13a774eb96b1894665217b0f6aaac145f05e306af6b32995e2498166a766b1f8",
       "bytes": 46238,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00002264-n000004-0000-13a774eb96b18946.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4043f1b095db700bbcbb7b3e6d419383748c9e95"
+      "sha256": "13a774eb96b1894665217b0f6aaac145f05e306af6b32995e2498166a766b1f8"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2264",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2265",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2266",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2267"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002264.lean\",\"ce156413dabf33852641993086988b92321aae7069d08d0ac508e0d526717b81\",0,\"lean_workbook_14101\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002265.lean\",\"0c9f86603fdb32408c79c3b8367dfb96aba9593b85642cda85212304ba734a34\",0,\"lean_workbook_plus_54325\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002266.lean\",\"ee204f7e85fd5219738f1516878c114375d7750e3a385e1e79fdd7952e872a4b\",0,\"lean_workbook_plus_45069\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002267.lean\",\"71ed712442f514eb2524a57ff417ae5ec6bfaba2253254a7cf5f69c785bb1f7a\",0,\"lean_workbook_plus_5448\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002268-n000004.json b/manifests/batches/oproofs/s00002-r00002268-n000004.json
index dbc890b622eed5616f44394bd98bc4975fb165a6..c3f2b01f41fb7506b0ce65a4bef619df98216013 100644
--- a/manifests/batches/oproofs/s00002-r00002268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002268-n000004",
   "batch_fingerprint": "f140f09f976da7e84e916c109986112fff765e19b37dc157f5c1b9314c2b7019",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2268",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2269",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2270",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2271"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002268.lean\",\"ffcab33f268f3ba45fb44b4adaa08d1a737fa978f1d043cfbcf95b2a5e0c9be0\",0,\"lean_workbook_plus_33100\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002269.lean\",\"82960e2fed21a6f98ae0c4ff06fa9da3ba387083d55ac30fb122ade214d5ec56\",0,\"lean_workbook_plus_39013\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002270.lean\",\"c525d3228f84cd97a1b25142020482d146eb9428906b386a4399e3daeab9b16c\",0,\"lean_workbook_plus_45766\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002271.lean\",\"a923d1cda2880eda4d18133edf34017576a2e935a8493751490a989e54927f2d\",0,\"lean_workbook_plus_68057\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002268-n000004-0000-3919d1e9e6c0998d.parquet",
-      "sha256": "3919d1e9e6c0998ddaf25efe65e0dd0b0b60b9e0b3ec0fe7363437d7599b0bcd",
       "bytes": 661059,
+      "path": "data/train/p1c/oproofs-s00002-r00002268-n000004-0000-3919d1e9e6c0998d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "3919d1e9e6c0998ddaf25efe65e0dd0b0b60b9e0b3ec0fe7363437d7599b0bcd"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002268-n000004-0001-a55e98b00d036e34.parquet",
-      "sha256": "a55e98b00d036e341072b75e1ee87dfa50322554a0b6e2c446b5668403a3fdb2",
       "bytes": 166902,
+      "path": "data/train/p1c/oproofs-s00002-r00002268-n000004-0001-a55e98b00d036e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "a55e98b00d036e341072b75e1ee87dfa50322554a0b6e2c446b5668403a3fdb2"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002268-n000004-0000-ec60a1fb5b4a8954.parquet",
-      "sha256": "ec60a1fb5b4a8954c05335a06de71be75f670121862d1afb66b7ef56daaf41bf",
       "bytes": 506518,
+      "path": "data/dev/p1c/oproofs-s00002-r00002268-n000004-0000-ec60a1fb5b4a8954.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "ec60a1fb5b4a8954c05335a06de71be75f670121862d1afb66b7ef56daaf41bf"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2268",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2269",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2270",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2271"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002268.lean\",\"ffcab33f268f3ba45fb44b4adaa08d1a737fa978f1d043cfbcf95b2a5e0c9be0\",0,\"lean_workbook_plus_33100\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002269.lean\",\"82960e2fed21a6f98ae0c4ff06fa9da3ba387083d55ac30fb122ade214d5ec56\",0,\"lean_workbook_plus_39013\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002270.lean\",\"c525d3228f84cd97a1b25142020482d146eb9428906b386a4399e3daeab9b16c\",0,\"lean_workbook_plus_45766\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002271.lean\",\"a923d1cda2880eda4d18133edf34017576a2e935a8493751490a989e54927f2d\",0,\"lean_workbook_plus_68057\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002272-n000004.json b/manifests/batches/oproofs/s00002-r00002272-n000004.json
index d075883117143e58535a392bfd30d2d74ea7ff91..fb90aa5f3811eba879b613fb37df33d891a66dbb 100644
--- a/manifests/batches/oproofs/s00002-r00002272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002272-n000004",
   "batch_fingerprint": "07617e05f3d8add1913be97fe602c0b93e2d7a2400e5c7eab893f2cc82de2a08",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002272-n000004-0000-d88eae4b68c5ae2b.parquet",
-      "sha256": "d88eae4b68c5ae2b043267e35ffa7472f47b64b5081f25317ecf00a465500528",
-      "bytes": 122750,
-      "rows": 16,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002273.lean\",\"bb892df9abc552fe3a36b0efc14ef3d3ae16141ffe1ccc7e1148bfdcaa1d5bd2\",0,\"lean_workbook_plus_10918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002274.lean\",\"3aa8c2ae4d2be97e49091cc81cf0201363774272550d74af7ecf3a934699e5db\",0,\"lean_workbook_plus_10769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002275.lean\",\"2e715963b64a392a84c3f3dcbc973bb2f2b3e0970d05750d23b428435186b61a\",0,\"lean_workbook_41635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122750,
+      "path": "data/train/p69/oproofs-s00002-r00002272-n000004-0000-d88eae4b68c5ae2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d88eae4b68c5ae2b043267e35ffa7472f47b64b5081f25317ecf00a465500528"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002276-n000004.json b/manifests/batches/oproofs/s00002-r00002276-n000004.json
index f94a682798242d22298bfdbce431d1905b99fd23..6f68861433e294e079a03dbfdd5600b8ea020d9a 100644
--- a/manifests/batches/oproofs/s00002-r00002276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002276-n000004",
   "batch_fingerprint": "8ed8f7ed4a1d7120cd8ddff0bb365f8d7701e44d65e613d5ec9718bc29b50aed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002276-n000004-0000-f0fad22cb28387d8.parquet",
-      "sha256": "f0fad22cb28387d8b57b74441a276bd63878e7161d534d3acde5d2d5f17a0945",
-      "bytes": 308058,
-      "rows": 21,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002276-n000004-0000-8bf7d41d0cf9d007.parquet",
-      "sha256": "8bf7d41d0cf9d0074978d4113457da31e0a680cf707a76a5fa2371686b926584",
-      "bytes": 74372,
-      "rows": 3,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002277.lean\",\"365a1b0c666f1298bb0dfc1b13dc9f569800aa3e274ef66cef08c1beb6bf9c9d\",0,\"lean_workbook_plus_78542\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002278.lean\",\"72dc3afdee62095c9dc6a26903264eddbf4326dcc643cfacd0181098338681a8\",0,\"lean_workbook_plus_10675\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002279.lean\",\"e0e164380aef747cad54833576c75c9b877516b446fc1a1ed4dbd98720e7c829\",0,\"lean_workbook_plus_21087\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308058,
+      "path": "data/train/pb4/oproofs-s00002-r00002276-n000004-0000-f0fad22cb28387d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f0fad22cb28387d8b57b74441a276bd63878e7161d534d3acde5d2d5f17a0945"
+    },
+    {
+      "bytes": 74372,
+      "path": "data/dev/pb4/oproofs-s00002-r00002276-n000004-0000-8bf7d41d0cf9d007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8bf7d41d0cf9d0074978d4113457da31e0a680cf707a76a5fa2371686b926584"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002280-n000004.json b/manifests/batches/oproofs/s00002-r00002280-n000004.json
index f7a0f67966b3a5265e8ea594e61187528e6a66ec..ae8228af3500e97a39bf734d20e4b79ac411389a 100644
--- a/manifests/batches/oproofs/s00002-r00002280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002280-n000004",
   "batch_fingerprint": "6d30bc18580476a5d4f6cd80e39e81a3c80b5c2c89258c11b2d737f83be3cc5d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2280",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2281",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2282",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2283"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002280.lean\",\"fcff816d66f8bc87970e734ac7483b2e1ada38bc6cb8b846ba8ae9db3f15d1fb\",0,\"lean_workbook_plus_28048\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002281.lean\",\"4c579666103addf9998c1ef5493aa861815f9391a5ec95a2124461920dc738fa\",0,\"lean_workbook_plus_55380\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002282.lean\",\"57ee57be4bb6e4d1bda41e770beb8e2bd226888aecf2be0a06a248758172fa6a\",0,\"lean_workbook_plus_30238\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002283.lean\",\"0669e332e1c86373c6cc0277a46a8a0d74ba4fa582e10c607bb00a3da18ff0b0\",0,\"lean_workbook_plus_18963\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002280-n000004-0000-e8156fe5bf84cc39.parquet",
-      "sha256": "e8156fe5bf84cc395bf39732eb3101d74c7042648621c7a3856695a709ebc83d",
       "bytes": 1226142,
+      "path": "data/train/pa4/oproofs-s00002-r00002280-n000004-0000-e8156fe5bf84cc39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "e8156fe5bf84cc395bf39732eb3101d74c7042648621c7a3856695a709ebc83d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002280-n000004-0001-8e2a07bc659a5aa6.parquet",
-      "sha256": "8e2a07bc659a5aa6ac2c0056e833247e04c9ac03e3d95d40d3df058cf387e6c1",
       "bytes": 344010,
+      "path": "data/train/pa4/oproofs-s00002-r00002280-n000004-0001-8e2a07bc659a5aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "8e2a07bc659a5aa6ac2c0056e833247e04c9ac03e3d95d40d3df058cf387e6c1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002280-n000004-0000-a4c96b2ef9db20ba.parquet",
-      "sha256": "a4c96b2ef9db20ba8e129843f5f9c30165ed1d3c6cfa7b849c6c9369c25415e9",
       "bytes": 828437,
+      "path": "data/dev/pa4/oproofs-s00002-r00002280-n000004-0000-a4c96b2ef9db20ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "623184913e61076d3857d2e2073b62bd5faef522"
+      "sha256": "a4c96b2ef9db20ba8e129843f5f9c30165ed1d3c6cfa7b849c6c9369c25415e9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2280",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2281",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2282",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2283"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002280.lean\",\"fcff816d66f8bc87970e734ac7483b2e1ada38bc6cb8b846ba8ae9db3f15d1fb\",0,\"lean_workbook_plus_28048\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002281.lean\",\"4c579666103addf9998c1ef5493aa861815f9391a5ec95a2124461920dc738fa\",0,\"lean_workbook_plus_55380\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002282.lean\",\"57ee57be4bb6e4d1bda41e770beb8e2bd226888aecf2be0a06a248758172fa6a\",0,\"lean_workbook_plus_30238\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002283.lean\",\"0669e332e1c86373c6cc0277a46a8a0d74ba4fa582e10c607bb00a3da18ff0b0\",0,\"lean_workbook_plus_18963\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002284-n000004.json b/manifests/batches/oproofs/s00002-r00002284-n000004.json
index b642ca363726741f76a10dee620e812e89faec7d..65ed08ea7a5ba005d06d600cc8b65b12c4295cb0 100644
--- a/manifests/batches/oproofs/s00002-r00002284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002284-n000004",
   "batch_fingerprint": "e320d3448d62c941761117b727a27c844754ba14b1403d22e19d9a05b9aaef7a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002284-n000004-0000-99f47d355939a477.parquet",
-      "sha256": "99f47d355939a4777d1ae7a3e84b76279b11385f1e1f165b4917ea6390132aa1",
-      "bytes": 182892,
-      "rows": 12,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002284-n000004-0000-cf20cc06b6f342c1.parquet",
-      "sha256": "cf20cc06b6f342c1c769b115798fc3ef80daac27e09eef6100c8f3f947afd43a",
-      "bytes": 157001,
-      "rows": 7,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002285.lean\",\"43bb8ba0f79fc2dcf64814baf453f9393b367111359d6922e486e8e021a85db5\",0,\"lean_workbook_36542\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002286.lean\",\"df054f2f99e730f77af8bce90eff991872b15e01daf2fdd0214a799d2a61250e\",0,\"lean_workbook_plus_40545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002287.lean\",\"7299637bff7f9c58740fb24c5e653c0164d3b0f2edc2fe7e351a1c5f76c3d724\",0,\"division_locus_circle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182892,
+      "path": "data/train/p4a/oproofs-s00002-r00002284-n000004-0000-99f47d355939a477.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "99f47d355939a4777d1ae7a3e84b76279b11385f1e1f165b4917ea6390132aa1"
+    },
+    {
+      "bytes": 157001,
+      "path": "data/dev/p4a/oproofs-s00002-r00002284-n000004-0000-cf20cc06b6f342c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cf20cc06b6f342c1c769b115798fc3ef80daac27e09eef6100c8f3f947afd43a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002288-n000004.json b/manifests/batches/oproofs/s00002-r00002288-n000004.json
index 1e453c017d98dea0dfcbf95bec8fe590694f1833..2151d816df720ba2381a4578611fd9a54045fcd7 100644
--- a/manifests/batches/oproofs/s00002-r00002288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002288-n000004",
   "batch_fingerprint": "8adbbabffbd7a5a91b5713aaa11e6f1bd0dd64eb8312c5e268e703144be45b7e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002288-n000004-0000-ac75689db1b20615.parquet",
-      "sha256": "ac75689db1b206156bbe530ae885d7a9dd1a2962fe9fc80f64fabba8f280a2f3",
-      "bytes": 226122,
-      "rows": 12,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002288-n000004-0000-9c2d86e51301324c.parquet",
-      "sha256": "9c2d86e51301324c830d77b58240d472ce3b97bf4faed200f5a1bd16cfc6fd5c",
-      "bytes": 48478,
-      "rows": 2,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002289.lean\",\"d490d213284c6b301f5244cb8a7ed52d217fe865d2002b23b3c610b1e88bd830\",0,\"lean_workbook_plus_75627\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002290.lean\",\"71e6c6b1734137c88a520d0cfd33c6f8c5d7ffe59f81bffde4713f86d279ae55\",0,\"lean_workbook_14424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002291.lean\",\"68a87098577b8182c61873b169a359159adac1f720d804658a5c2e02a53f3170\",0,\"lean_workbook_plus_22447\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226122,
+      "path": "data/train/p53/oproofs-s00002-r00002288-n000004-0000-ac75689db1b20615.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ac75689db1b206156bbe530ae885d7a9dd1a2962fe9fc80f64fabba8f280a2f3"
+    },
+    {
+      "bytes": 48478,
+      "path": "data/internal_test/p53/oproofs-s00002-r00002288-n000004-0000-9c2d86e51301324c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9c2d86e51301324c830d77b58240d472ce3b97bf4faed200f5a1bd16cfc6fd5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002292-n000004.json b/manifests/batches/oproofs/s00002-r00002292-n000004.json
index 4dfc32ba59c850112f89ea99d9ba9f7a5df1612c..77f594c90a5f824b86164b43ba775d68e02e684f 100644
--- a/manifests/batches/oproofs/s00002-r00002292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002292-n000004",
   "batch_fingerprint": "8764c21edb90d0157414d4a9869a112fac1961b4829e896d2b5aabee2ff83a46",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2292",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2293",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2294",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2295"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002292.lean\",\"a5b3ccdb700d0f7242a4103aaf725733556b5bde0654fa2b5f8307dd5b0d5865\",0,\"lean_workbook_plus_39026\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002293.lean\",\"a6eccc2ba9512ed2d2e80f8976ac03512c8e2b3761fcb00cebd62562291c4ae0\",0,\"lean_workbook_plus_36858\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002294.lean\",\"863ed92ff785656be2632d3e09097736ec2680b7f48a1ef9ee83f677f9e92168\",0,\"lean_workbook_23032\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002295.lean\",\"84471b2b65645a64b498d354dd24607bdd796cca218d761ee56a1ab17064a8ff\",0,\"lean_workbook_52940\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002292-n000004-0000-1b2d160618625f7b.parquet",
-      "sha256": "1b2d160618625f7b8ddf423aa5925258f10002a5714df89b0a944d9f971d3cf1",
       "bytes": 70044,
+      "path": "data/train/p07/oproofs-s00002-r00002292-n000004-0000-1b2d160618625f7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
+      "sha256": "1b2d160618625f7b8ddf423aa5925258f10002a5714df89b0a944d9f971d3cf1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002292-n000004-0000-98fa560d2e1a29b8.parquet",
-      "sha256": "98fa560d2e1a29b8f39b1a87c9181ff14fd81f923a20a065f79d7e99225da0d4",
       "bytes": 35238,
+      "path": "data/dev/p07/oproofs-s00002-r00002292-n000004-0000-98fa560d2e1a29b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
+      "sha256": "98fa560d2e1a29b8f39b1a87c9181ff14fd81f923a20a065f79d7e99225da0d4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002292-n000004-0000-40fee20ddcab1e18.parquet",
-      "sha256": "40fee20ddcab1e182bb15010270c699a531259e1592b9fa2c444bbe3b67d9c9d",
       "bytes": 117406,
+      "path": "data/internal_test/p07/oproofs-s00002-r00002292-n000004-0000-40fee20ddcab1e18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
+      "sha256": "40fee20ddcab1e182bb15010270c699a531259e1592b9fa2c444bbe3b67d9c9d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2292",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2293",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2294",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2295"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002292.lean\",\"a5b3ccdb700d0f7242a4103aaf725733556b5bde0654fa2b5f8307dd5b0d5865\",0,\"lean_workbook_plus_39026\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002293.lean\",\"a6eccc2ba9512ed2d2e80f8976ac03512c8e2b3761fcb00cebd62562291c4ae0\",0,\"lean_workbook_plus_36858\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002294.lean\",\"863ed92ff785656be2632d3e09097736ec2680b7f48a1ef9ee83f677f9e92168\",0,\"lean_workbook_23032\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002295.lean\",\"84471b2b65645a64b498d354dd24607bdd796cca218d761ee56a1ab17064a8ff\",0,\"lean_workbook_52940\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002296-n000004.json b/manifests/batches/oproofs/s00002-r00002296-n000004.json
index acdfedde655b57b568f9849752c651933febc4c1..2a82751ddb1010fed46f3932e824798b3dbf748f 100644
--- a/manifests/batches/oproofs/s00002-r00002296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002296-n000004",
   "batch_fingerprint": "63f33bebed86c5e76274bc4b8a6b159205216b619ff55abeb72b4ed6f567ea19",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002296-n000004-0000-448c5780c821918c.parquet",
-      "sha256": "448c5780c821918c3f6369ff93797162bf199326c6329d362979825e402193f6",
-      "bytes": 96977,
-      "rows": 16,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002297.lean\",\"e53e846afdfc2dc567a886fba3fc010012242134a6ce72c3eef7dc50e0459f74\",0,\"lean_workbook_plus_75581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002298.lean\",\"0dd2cc3434a9b8563e2d96f3b022f862f8880cf2e7faf241cda8445bc5dedaee\",0,\"lean_workbook_plus_34904\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002299.lean\",\"b532a61bd9369be8404953b589c1d6e32e81bc92182968d0e70f864a118f84bb\",0,\"lean_workbook_plus_27077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96977,
+      "path": "data/train/p9b/oproofs-s00002-r00002296-n000004-0000-448c5780c821918c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "448c5780c821918c3f6369ff93797162bf199326c6329d362979825e402193f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002300-n000004.json b/manifests/batches/oproofs/s00002-r00002300-n000004.json
index fdafccaba1dd678a10810454ee4a1b9bbd05e86f..27d399a699f621b296aa1c735ef4208a7e1e7dfc 100644
--- a/manifests/batches/oproofs/s00002-r00002300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002300-n000004",
   "batch_fingerprint": "a85b2322fa61df1efcbc7a81ae96c3bd45590f6c9956714d8cd6e05355870966",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002300-n000004-0000-cf51bfa5ab05943a.parquet",
-      "sha256": "cf51bfa5ab05943a341c8ca0a3808cb5eb007680c9dbfe234d2c3948a6fa0887",
-      "bytes": 153565,
-      "rows": 20,
-      "revision": "e5110fa5acf60a4644f26d215cb22109568c69be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002301.lean\",\"3e010ffb33d836604a740c0e73c5d9223d2fb8879c7a38e7562eb5376a41f076\",0,\"lean_workbook_plus_18531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002302.lean\",\"613e963aff2be65dcab8af80b848fa258d44de23a0f3733a0f266e53cd7b5849\",0,\"marble_arrangement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002303.lean\",\"f649b959e42a958f279da04c58fea0b097e7579b3e1146be63c10da23d100edc\",0,\"lean_workbook_32141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153565,
+      "path": "data/train/pda/oproofs-s00002-r00002300-n000004-0000-cf51bfa5ab05943a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cf51bfa5ab05943a341c8ca0a3808cb5eb007680c9dbfe234d2c3948a6fa0887"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002304-n000004.json b/manifests/batches/oproofs/s00002-r00002304-n000004.json
index f867a08bfb92f1c65870fd5386bc9e27782d14c2..794d390b1b6f07b6d1cbc8a03c4e8ec1a1d5bcde 100644
--- a/manifests/batches/oproofs/s00002-r00002304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002304-n000004",
   "batch_fingerprint": "5f24d3cd418437a52da54624a713fa71eadd5996686528f4bf76482084ea16a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002304-n000004-0000-454a96e204e1677d.parquet",
-      "sha256": "454a96e204e1677df9d11e22f14ad210b92e043a3c2c9298ba0b49a612823d81",
-      "bytes": 237524,
-      "rows": 15,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002304-n000004-0000-13caee72f3a2e45c.parquet",
-      "sha256": "13caee72f3a2e45cc8f73d41c22440c4bd03d160a8ba0d37d85f47a9af098221",
-      "bytes": 52386,
-      "rows": 5,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2305",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002305.lean\",\"215cf61a9ff098a27def4e2c29f104b35751c7fe76dacdf1fa305ddd0502b895\",0,\"lean_workbook_plus_33966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002306.lean\",\"9edb8d6c0848309c9f84c96be8dfe4ed91f7883e21ca200ce4a26636c8d125db\",0,\"lean_workbook_30568\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002307.lean\",\"69c2693753d06da90663616a9dc341466b15e7c204fdb4aa6289bc90d536cbac\",0,\"lean_workbook_plus_45864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237524,
+      "path": "data/train/p92/oproofs-s00002-r00002304-n000004-0000-454a96e204e1677d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "454a96e204e1677df9d11e22f14ad210b92e043a3c2c9298ba0b49a612823d81"
+    },
+    {
+      "bytes": 52386,
+      "path": "data/internal_test/p92/oproofs-s00002-r00002304-n000004-0000-13caee72f3a2e45c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "13caee72f3a2e45cc8f73d41c22440c4bd03d160a8ba0d37d85f47a9af098221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002308-n000004.json b/manifests/batches/oproofs/s00002-r00002308-n000004.json
index 7bc7b2a806f8765568eadf05b6e7cc18b852a23d..5b5e95299ccb3a46339ec456e00bee6def8b3ef0 100644
--- a/manifests/batches/oproofs/s00002-r00002308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002308-n000004",
   "batch_fingerprint": "b108429bf417accad792ce92109bceebeeba4607716f572ddc57e067d7bdb0ad",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002308-n000004-0000-c8ac526695e442bb.parquet",
-      "sha256": "c8ac526695e442bbe72dd3c9f1dedb915482d420a3a2134edaa998a460f694fd",
-      "bytes": 157706,
-      "rows": 16,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002308-n000004-0000-9e4c6afe7c7319fd.parquet",
-      "sha256": "9e4c6afe7c7319fd18ea904e655566839e3eb86063c0af7d67ff130f940297b0",
-      "bytes": 170423,
-      "rows": 9,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002309.lean\",\"1398d2493da3c4418758b65198e4d98d9f8f858f55476952527696816936fd9f\",0,\"lean_workbook_28979\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002310.lean\",\"c3a0e389e96758806e4a242b6ce2c45248cf4a97286aaef23f2cdf5fcca79695\",0,\"lean_workbook_plus_74090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002311.lean\",\"d3b43c527e905acd91f796e73964e5f0e8e3e67f82b91179effb17d5dcb35fc0\",0,\"lean_workbook_plus_36080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157706,
+      "path": "data/train/p5f/oproofs-s00002-r00002308-n000004-0000-c8ac526695e442bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c8ac526695e442bbe72dd3c9f1dedb915482d420a3a2134edaa998a460f694fd"
+    },
+    {
+      "bytes": 170423,
+      "path": "data/dev/p5f/oproofs-s00002-r00002308-n000004-0000-9e4c6afe7c7319fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9e4c6afe7c7319fd18ea904e655566839e3eb86063c0af7d67ff130f940297b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002312-n000004.json b/manifests/batches/oproofs/s00002-r00002312-n000004.json
index 364c13174d2429802743b52d68a64c2261b5d979..73ef7d024ed6ac9f28eb8e0d55eb028fa53d4dfd 100644
--- a/manifests/batches/oproofs/s00002-r00002312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002312-n000004",
   "batch_fingerprint": "4f8ac5fd5823befb257a79160adef1b34128200757d4b051a1e9980f26c88f10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002312-n000004-0000-005924ec9714e079.parquet",
-      "sha256": "005924ec9714e079f669c071bd84575fb648e9ef8bf2ae508e9de5db01396398",
-      "bytes": 222889,
-      "rows": 14,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002312-n000004-0000-2cf6f5f569605269.parquet",
-      "sha256": "2cf6f5f569605269c080f3443d44ba760c46f28c500bdea74b4dc99f583565de",
-      "bytes": 125054,
-      "rows": 7,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2313",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002313.lean\",\"7f7ce350ca9f74542dd6e6248371300e785c22871adea6742f8a665e36c080c6\",0,\"lean_workbook_plus_58898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002314.lean\",\"85078e2cb6814b87b37ecd99821da906b6ebf63254c30668005c461f7a5873a1\",0,\"lean_workbook_plus_66399\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002315.lean\",\"34b134b8d4a5a3b484c5698bd86b98fd96269bc5a2fa4d0f337a39c2b03ed238\",0,\"complex_point_location\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222889,
+      "path": "data/train/p2a/oproofs-s00002-r00002312-n000004-0000-005924ec9714e079.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "005924ec9714e079f669c071bd84575fb648e9ef8bf2ae508e9de5db01396398"
+    },
+    {
+      "bytes": 125054,
+      "path": "data/internal_test/p2a/oproofs-s00002-r00002312-n000004-0000-2cf6f5f569605269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2cf6f5f569605269c080f3443d44ba760c46f28c500bdea74b4dc99f583565de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002316-n000004.json b/manifests/batches/oproofs/s00002-r00002316-n000004.json
index dd91b516ae7dd1e100969e55debee0527c05de2c..4527c78028c45cba6b357df992d6a98e5445087a 100644
--- a/manifests/batches/oproofs/s00002-r00002316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002316-n000004",
   "batch_fingerprint": "05c10ee0bd9bf6adc34a856813498daa43e62662038fd4d68b41c02dc19fc26c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002316-n000004-0000-c03be146d654fe67.parquet",
-      "sha256": "c03be146d654fe67129842be33e8457df7dc0a73e875d7d2e6ea82bac750255a",
-      "bytes": 797202,
-      "rows": 11,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002316-n000004-0000-f0edb2d65e5a8449.parquet",
-      "sha256": "f0edb2d65e5a84496289bbf66fca9fdd3a2d3ede9326d0a3000c51155c2438a5",
-      "bytes": 166220,
-      "rows": 6,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002317.lean\",\"8fc514f5b7eaf6ab7bf9ad86c4f859a22a96ad9d9478c2dc1b3ad1f52ea01091\",0,\"lean_workbook_plus_14895\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002318.lean\",\"fa4745ddbcfe256b03ac3e361ec1c2b0648945cce628e6b40039ef6f39179d35\",0,\"lean_workbook_plus_19201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002319.lean\",\"9b82a21ed2173f9aaa3d92ce2a09367143096916065bf575305be745bbf35fd2\",0,\"lean_workbook_15692\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 797202,
+      "path": "data/train/p2e/oproofs-s00002-r00002316-n000004-0000-c03be146d654fe67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c03be146d654fe67129842be33e8457df7dc0a73e875d7d2e6ea82bac750255a"
+    },
+    {
+      "bytes": 166220,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00002316-n000004-0000-f0edb2d65e5a8449.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f0edb2d65e5a84496289bbf66fca9fdd3a2d3ede9326d0a3000c51155c2438a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002320-n000004.json b/manifests/batches/oproofs/s00002-r00002320-n000004.json
index 08bb3c7efac263bd619e3ce0db2d7d7edf9ff112..253768a3550515d237ea3356eaa7081fb59b86bc 100644
--- a/manifests/batches/oproofs/s00002-r00002320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002320-n000004",
   "batch_fingerprint": "4a4f16137e186e143d5bbe8e91f1f2fce9277a9f01e68e2697610bd1f4295992",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002320-n000004-0000-5cad6e5757d6d200.parquet",
-      "sha256": "5cad6e5757d6d200e8fa14c4a41de0baa52543477362cae1359a3ca034cec0a9",
-      "bytes": 602160,
-      "rows": 17,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002320-n000004-0001-813ced36d0fe4c78.parquet",
-      "sha256": "813ced36d0fe4c78f516ec12a40c503fe5d79449e6479efe8c4559eb6915096f",
-      "bytes": 348884,
-      "rows": 4,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002321.lean\",\"124d93781cf05cc0049e2d20977de33f7175e8283120f2ce2825a39b42fd7c55\",0,\"lean_workbook_26956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002322.lean\",\"d63fd88d4abfc5b4497ed23da91b384aa307f36b1267a962ba32a9fd97a2d66a\",0,\"lean_workbook_plus_67713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002323.lean\",\"80e9a3a73d0ad84a90187b0e8ee4cc618305b1ec2618362b20f24a966f3d7d9d\",0,\"lean_workbook_46351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 602160,
+      "path": "data/train/p26/oproofs-s00002-r00002320-n000004-0000-5cad6e5757d6d200.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5cad6e5757d6d200e8fa14c4a41de0baa52543477362cae1359a3ca034cec0a9"
+    },
+    {
+      "bytes": 348884,
+      "path": "data/train/p26/oproofs-s00002-r00002320-n000004-0001-813ced36d0fe4c78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "813ced36d0fe4c78f516ec12a40c503fe5d79449e6479efe8c4559eb6915096f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002324-n000004.json b/manifests/batches/oproofs/s00002-r00002324-n000004.json
index bd9a9fc9635416a4c2d74bdbee76aceaf40388d3..da3ba00aa47eaa432993487c1e628131587400f1 100644
--- a/manifests/batches/oproofs/s00002-r00002324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002324-n000004",
   "batch_fingerprint": "1189607add0918ca7365d35a0838de6d150860cc323c21587685c8e977e033fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002324-n000004-0000-c89bd0e20cc0a2bc.parquet",
-      "sha256": "c89bd0e20cc0a2bce8f63d81e5c30bbf9c8934f111d1c641518407ee4787d670",
-      "bytes": 179327,
-      "rows": 16,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002324-n000004-0000-125a30f9debd6c80.parquet",
-      "sha256": "125a30f9debd6c8043a8a3565b140312ed692e4d7b1c321f6e1a3b15fcc5bf3c",
-      "bytes": 59086,
-      "rows": 4,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2325",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002325.lean\",\"d19ed5445307d4e66bc0570a7c79e5fedf20e1c0f66d34f7202e645ee6468a4e\",0,\"lean_workbook_plus_62473\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002326.lean\",\"8f04bd3d4c403c9117cbf7f0c8423eec5e920d622cfb396ee1002162d2e426e5\",0,\"lean_workbook_plus_60731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002327.lean\",\"3f71238470d45ec6cfea458119e728c7fecf7a5c0042ba37b722cdef084dbb71\",0,\"lean_workbook_plus_8715\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179327,
+      "path": "data/train/p2c/oproofs-s00002-r00002324-n000004-0000-c89bd0e20cc0a2bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c89bd0e20cc0a2bce8f63d81e5c30bbf9c8934f111d1c641518407ee4787d670"
+    },
+    {
+      "bytes": 59086,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00002324-n000004-0000-125a30f9debd6c80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "125a30f9debd6c8043a8a3565b140312ed692e4d7b1c321f6e1a3b15fcc5bf3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002328-n000004.json b/manifests/batches/oproofs/s00002-r00002328-n000004.json
index dcb091b45129c4775660a30082645f1dac9f8773..2b5d06819b61af8795749113fc64810ad183005d 100644
--- a/manifests/batches/oproofs/s00002-r00002328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002328-n000004",
   "batch_fingerprint": "82904cd60edd5159deb49e1a25c34d3a0bdcaf94192e9c921bbb7824720579d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002328-n000004-0000-b538ce1a9239f68d.parquet",
-      "sha256": "b538ce1a9239f68dd3c958baff8259ffd03b615a240f3cb46bb0606adda66fa2",
-      "bytes": 158770,
-      "rows": 17,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002329.lean\",\"bb38dbc6f2c0f7640a44f0fcea5ec53ae2f0ffde69ce69d70062b654ca0034f9\",0,\"lean_workbook_plus_72999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002330.lean\",\"42b10512882f1a3e488a310a1a69a810861aefab331f68784a76f3ab2afffc1d\",0,\"lean_workbook_41700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002331.lean\",\"3a9e7814c5a8489e9565caa4c1b8b4e48eedc67623713af2e4d15134953446f3\",0,\"lean_workbook_plus_76091\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158770,
+      "path": "data/train/p28/oproofs-s00002-r00002328-n000004-0000-b538ce1a9239f68d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b538ce1a9239f68dd3c958baff8259ffd03b615a240f3cb46bb0606adda66fa2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002332-n000004.json b/manifests/batches/oproofs/s00002-r00002332-n000004.json
index 59d9e1209c2a11e632f01bbd9d32aee27fee5f1e..15bc049b974ec832b7a89ef6ec02d9d01f17eaf1 100644
--- a/manifests/batches/oproofs/s00002-r00002332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002332-n000004",
   "batch_fingerprint": "3f4584b5a3af0ae32644c4c1bc5b9a2db1eaf207956520175afed01922e42142",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002332-n000004-0000-76d6f9799f63a7f7.parquet",
-      "sha256": "76d6f9799f63a7f78436e961276e09e3e6cc527270c673ce18832739c72d4373",
-      "bytes": 350354,
-      "rows": 29,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002333.lean\",\"4fa6bc6d663b80dc324e16f6d2f2e48421669f29baf40d448c47ad2eef27fcd6\",0,\"lean_workbook_plus_24749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002334.lean\",\"d4fa90b7103a6529a3dd4d46f9f0ca147c6becbd22b42d6afb968a697eab0058\",0,\"rectangle_max_equilateral_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002335.lean\",\"d60404b7e84dcbba6666dc2add7248ba069e3df0351024d97d9f5309c99aee85\",0,\"lean_workbook_48628\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350354,
+      "path": "data/train/pf5/oproofs-s00002-r00002332-n000004-0000-76d6f9799f63a7f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "76d6f9799f63a7f78436e961276e09e3e6cc527270c673ce18832739c72d4373"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002336-n000004.json b/manifests/batches/oproofs/s00002-r00002336-n000004.json
index 3ada9f1d8df621f9b2d445bb9e523a5cf82097c2..270604ae3e08e4028e45cafd3157b76fa61d4293 100644
--- a/manifests/batches/oproofs/s00002-r00002336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002336-n000004",
   "batch_fingerprint": "5e04ca59269644494eb9f0621301cd64531c3e2e5cc8cd418072127a30f25596",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002336-n000004-0000-82970a4194ac4792.parquet",
-      "sha256": "82970a4194ac4792402fac68d6ced6b55e86e034582dd4b36c064f23246ecd18",
-      "bytes": 942409,
-      "rows": 17,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002337.lean\",\"1754afb684efc2f22dc33c023b32158c7f08878a035d6c650e739ff20228c018\",0,\"lean_workbook_plus_66801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002338.lean\",\"8e786ea4387f111f901d6ca3afa74c1a8acd74d1b90af5fa4729cf714bcc44b6\",0,\"lean_workbook_plus_25711\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002339.lean\",\"716a16fb18b700fe680c1eb9f057e4c3dab845630de8da3e4a60a8e882da5f72\",0,\"lean_workbook_plus_14711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 942409,
+      "path": "data/train/p5c/oproofs-s00002-r00002336-n000004-0000-82970a4194ac4792.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "82970a4194ac4792402fac68d6ced6b55e86e034582dd4b36c064f23246ecd18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002340-n000004.json b/manifests/batches/oproofs/s00002-r00002340-n000004.json
index ae19094fc232b697fcfe8cb71041535fd61fac67..d23f83184d0076a14139ca408378cc60c66c1ae0 100644
--- a/manifests/batches/oproofs/s00002-r00002340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002340-n000004",
   "batch_fingerprint": "7b5a14213a74396e2461c921192ec62444b613c00f6f9e8ffd171f7774164632",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002340-n000004-0000-38a87db33d1437e7.parquet",
-      "sha256": "38a87db33d1437e76484eba6690802e675dede1ad0975ab7b1e1a393c1ab1d76",
-      "bytes": 297326,
-      "rows": 13,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002340-n000004-0000-5cda0c9602df99e9.parquet",
-      "sha256": "5cda0c9602df99e95c6834bde0f8a9fea8099ef2b5d798a238b6b1689339c9b3",
-      "bytes": 88658,
-      "rows": 5,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002341.lean\",\"5ecb8eb7dd9b688faa2a7b42b422041e47a0a2422d3d53d4f9748da492a8e2ff\",0,\"lean_workbook_25617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002342.lean\",\"ea1d28404ebde5ed4e8d8183d90e51b574e30614b204677a64da5c1c6879f6bc\",0,\"lean_workbook_plus_79384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002343.lean\",\"edec4099349a021c69ad54122ae5617dd4a9c65c9a04fc6e7e0d24a795b469f2\",0,\"lean_workbook_56775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297326,
+      "path": "data/train/pdf/oproofs-s00002-r00002340-n000004-0000-38a87db33d1437e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "38a87db33d1437e76484eba6690802e675dede1ad0975ab7b1e1a393c1ab1d76"
+    },
+    {
+      "bytes": 88658,
+      "path": "data/dev/pdf/oproofs-s00002-r00002340-n000004-0000-5cda0c9602df99e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5cda0c9602df99e95c6834bde0f8a9fea8099ef2b5d798a238b6b1689339c9b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002344-n000004.json b/manifests/batches/oproofs/s00002-r00002344-n000004.json
index 9a7344c259beb94d5f49477b9dc637d342e515c2..01de05284f84924a1d1931217f1438a9f4cc6c38 100644
--- a/manifests/batches/oproofs/s00002-r00002344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002344-n000004",
   "batch_fingerprint": "ce2d7d0f40c9f47892a9d2f6496f96a77185f1e28971dd314087412ec89a2f7e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002344-n000004-0000-0bf74290f8439a3c.parquet",
-      "sha256": "0bf74290f8439a3c9a371de5e54ba9839efa8140205d8931b120ff428c9f0117",
-      "bytes": 514797,
-      "rows": 24,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002345.lean\",\"814c0da19d893cad4179502d3b3842fdac40bb98ae9782582334f6286f1880ca\",0,\"lean_workbook_plus_18963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002346.lean\",\"d2871573b1c85086f2f8be070db133add51876e645fa59567fbd8cf8c1cee84b\",0,\"lean_workbook_36542\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002347.lean\",\"03770ef952c2d1a110906b823812ff9083a117ff84a509afd8ee0f99e5d8480e\",0,\"lean_workbook_plus_40545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 514797,
+      "path": "data/train/p43/oproofs-s00002-r00002344-n000004-0000-0bf74290f8439a3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0bf74290f8439a3c9a371de5e54ba9839efa8140205d8931b120ff428c9f0117"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002348-n000004.json b/manifests/batches/oproofs/s00002-r00002348-n000004.json
index 6f635787cf4b57fe81a2d41342bff554e3a1775a..a0d7416c01381270edbd5498ab9b912f6ae10ab4 100644
--- a/manifests/batches/oproofs/s00002-r00002348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002348-n000004",
   "batch_fingerprint": "948724dc3f17d03c0554b7a3e61865b91409fede26657b6e1afedd7bca6b2241",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002348-n000004-0000-9fabaad5ccaec4d5.parquet",
-      "sha256": "9fabaad5ccaec4d56755652a9815b18ffe4cf179d2cd169feeeae6ea1efc2ccc",
-      "bytes": 255669,
-      "rows": 9,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002348-n000004-0000-facd0f424d8f0623.parquet",
-      "sha256": "facd0f424d8f0623039066b34d0521eb1c0b83a9607e0b96a7d8759fb24bc00c",
-      "bytes": 46412,
-      "rows": 2,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002349.lean\",\"1f2f9aa1365d63b11e98e2ee2afd11fdf8de4d7de11ab41aa996a0b744bb986b\",0,\"lean_workbook_plus_29505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002350.lean\",\"668459589f5ac47f0604b4f83406691217b0ce102a36c4b26324648c739b1e46\",0,\"lean_workbook_plus_69268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002351.lean\",\"9c2e435f0495a3bcdf487ed08175664720a7f98f083c4abd94b03cf06fa60b93\",0,\"lean_workbook_plus_33711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255669,
+      "path": "data/train/p95/oproofs-s00002-r00002348-n000004-0000-9fabaad5ccaec4d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9fabaad5ccaec4d56755652a9815b18ffe4cf179d2cd169feeeae6ea1efc2ccc"
+    },
+    {
+      "bytes": 46412,
+      "path": "data/internal_test/p95/oproofs-s00002-r00002348-n000004-0000-facd0f424d8f0623.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "facd0f424d8f0623039066b34d0521eb1c0b83a9607e0b96a7d8759fb24bc00c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002352-n000004.json b/manifests/batches/oproofs/s00002-r00002352-n000004.json
index 69625867eb45ae0b60b2f53cb32d556d57a29800..8f837f1b625eec0a26b7b2eced771a6dc5034dea 100644
--- a/manifests/batches/oproofs/s00002-r00002352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002352-n000004",
   "batch_fingerprint": "9aa648dce8a0e65020e2c82f27c302a2c40c1080becafe9cb85d403cc8946bab",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2352",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2353",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2354",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2355"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002352.lean\",\"a35cf2aa39e3b147f32fe521e0cd2b8c1cf034589c6a9497e6e88bee31597c18\",0,\"lean_workbook_plus_39026\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002353.lean\",\"e8d0df1619debc964e4f5db23be96aa2e0babf674ee5b3b873579b9016a47826\",0,\"lean_workbook_plus_22653\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002354.lean\",\"cbac96283dd2d566cc36f917be3cc9ea5d79a20e0eb1806db6449264dd7c7853\",0,\"lean_workbook_plus_36858\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002355.lean\",\"0b5f2ce739bd65d548e82b1ca88f08e2407785f61e92c0732dd8c69e546b3a34\",0,\"lean_workbook_23032\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002352-n000004-0000-c18e224d91ab9484.parquet",
-      "sha256": "c18e224d91ab94842bb02deee443f71fa5d45664dc3a5768e3df185f56c165d3",
       "bytes": 245142,
+      "path": "data/train/p0b/oproofs-s00002-r00002352-n000004-0000-c18e224d91ab9484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "c18e224d91ab94842bb02deee443f71fa5d45664dc3a5768e3df185f56c165d3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002352-n000004-0000-71baf914151e1605.parquet",
-      "sha256": "71baf914151e1605dd52b3b3f6fc087acc355b9a11b506734fc7e2f2e66321a3",
       "bytes": 57110,
+      "path": "data/dev/p0b/oproofs-s00002-r00002352-n000004-0000-71baf914151e1605.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "71baf914151e1605dd52b3b3f6fc087acc355b9a11b506734fc7e2f2e66321a3"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002352-n000004-0000-01746da58fd7e092.parquet",
-      "sha256": "01746da58fd7e09259f1815ecfa51edba708667110a1451bc94f15bb04ed0535",
       "bytes": 161798,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00002352-n000004-0000-01746da58fd7e092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "01746da58fd7e09259f1815ecfa51edba708667110a1451bc94f15bb04ed0535"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2352",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2353",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2354",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2355"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002352.lean\",\"a35cf2aa39e3b147f32fe521e0cd2b8c1cf034589c6a9497e6e88bee31597c18\",0,\"lean_workbook_plus_39026\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002353.lean\",\"e8d0df1619debc964e4f5db23be96aa2e0babf674ee5b3b873579b9016a47826\",0,\"lean_workbook_plus_22653\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002354.lean\",\"cbac96283dd2d566cc36f917be3cc9ea5d79a20e0eb1806db6449264dd7c7853\",0,\"lean_workbook_plus_36858\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002355.lean\",\"0b5f2ce739bd65d548e82b1ca88f08e2407785f61e92c0732dd8c69e546b3a34\",0,\"lean_workbook_23032\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002356-n000004.json b/manifests/batches/oproofs/s00002-r00002356-n000004.json
index b708f7df7bf6b6d381077e8c1628fd20daf4cf95..4256097b7e11d5509b114577abff2af362e380f9 100644
--- a/manifests/batches/oproofs/s00002-r00002356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002356-n000004",
   "batch_fingerprint": "07ad7b3112665b1026080426fe8b2609fb9cbed9372f4be4d7dfac5c709dd7e8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002356-n000004-0000-815e908fe674256b.parquet",
-      "sha256": "815e908fe674256bb9d1ee1de91e9c560af9f0d0bdf552ff556dd513c858c52e",
-      "bytes": 167488,
-      "rows": 25,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002357.lean\",\"ebfd0c7a3d87b7fb4e5e88572a6702a38b221dffdfdeebecb1201a1d2fc70c44\",0,\"lean_workbook_plus_47297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002358.lean\",\"5601efebe3aacdb225c4f27bdc5f62784275bdef1605a68ec0b55e6b0bfa9415\",0,\"lean_workbook_plus_72920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002359.lean\",\"3434d4958b3da3cbd08407a65bb961251e281cfd848b407eb3131052ca7f38ea\",0,\"symmetric_complex_quotient\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167488,
+      "path": "data/train/pcb/oproofs-s00002-r00002356-n000004-0000-815e908fe674256b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "815e908fe674256bb9d1ee1de91e9c560af9f0d0bdf552ff556dd513c858c52e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002360-n000004.json b/manifests/batches/oproofs/s00002-r00002360-n000004.json
index 246f9d41ce0cf8283585d4dd0824e9de3f2a673f..e2bdb55dadf8ac5624dd69c2d5143d3c64ba0947 100644
--- a/manifests/batches/oproofs/s00002-r00002360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002360-n000004",
   "batch_fingerprint": "6a06781ed2b24ba7ac39e8550034051976aadac8df36d7b92907bb08e42b2684",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002360-n000004-0000-a3e1e822b3e4d3c8.parquet",
-      "sha256": "a3e1e822b3e4d3c8c709d19823f97c36e02fd0c611741ba35fa0109403440bef",
-      "bytes": 119903,
-      "rows": 17,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002360-n000004-0000-94e21e4df211a902.parquet",
-      "sha256": "94e21e4df211a9025a88070e67332293753ade1b7329f1a4eaa77e035ee0bb15",
-      "bytes": 311538,
-      "rows": 8,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002361.lean\",\"3f3fcf751512ece4fd07974c9e6d1d98fc116d49aebdf70e1c32201a68e7bf69\",0,\"lean_workbook_plus_34956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002362.lean\",\"b74c15a5b0e04912d6d746f86345a80a2b1b977167918edf341dfbe3e26af523\",0,\"lean_workbook_plus_18531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002363.lean\",\"861a73f9cf71aac84688ead9a2ce5178d50180dc8d3ed781a992262c5f92057c\",0,\"lean_workbook_plus_66970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119903,
+      "path": "data/train/p68/oproofs-s00002-r00002360-n000004-0000-a3e1e822b3e4d3c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a3e1e822b3e4d3c8c709d19823f97c36e02fd0c611741ba35fa0109403440bef"
+    },
+    {
+      "bytes": 311538,
+      "path": "data/dev/p68/oproofs-s00002-r00002360-n000004-0000-94e21e4df211a902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "94e21e4df211a9025a88070e67332293753ade1b7329f1a4eaa77e035ee0bb15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002364-n000004.json b/manifests/batches/oproofs/s00002-r00002364-n000004.json
index 37336214a2b96cea0dea015a9d9984e70b232cae..9429bb992f4466671cbd2db3ca3ac1f7d48be51e 100644
--- a/manifests/batches/oproofs/s00002-r00002364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002364-n000004",
   "batch_fingerprint": "1933ae97c1ca1a85bad7b51f69e6c4a6ec54815cab10317392e9615ed39b0158",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002364-n000004-0000-9ac1c07437bd54ef.parquet",
-      "sha256": "9ac1c07437bd54ef20cd628be03718ee80d5eeea36391585d7fe833a471a414f",
-      "bytes": 358234,
-      "rows": 20,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002364-n000004-0000-01354474b7317055.parquet",
-      "sha256": "01354474b7317055c168b679e4f7636abf876b6bfea5dfe5d6a98785b2292c20",
-      "bytes": 46145,
-      "rows": 3,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2365",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002365.lean\",\"d791757c721f172f56628c64039c46cb51c7160004406ec57daf4105fde4eb73\",0,\"lean_workbook_32141\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002366.lean\",\"911d9281c269140e2bbd3ec7be5b2b8de7d421f0b11f2a8b4f356a7854d4450b\",0,\"lean_workbook_plus_26378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002367.lean\",\"404653c216cc34821ebdda5fe58484d1435a6ef9349b725e1a54ccb488e601f0\",0,\"lean_workbook_30568\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358234,
+      "path": "data/train/pa1/oproofs-s00002-r00002364-n000004-0000-9ac1c07437bd54ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9ac1c07437bd54ef20cd628be03718ee80d5eeea36391585d7fe833a471a414f"
+    },
+    {
+      "bytes": 46145,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00002364-n000004-0000-01354474b7317055.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "01354474b7317055c168b679e4f7636abf876b6bfea5dfe5d6a98785b2292c20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002368-n000004.json b/manifests/batches/oproofs/s00002-r00002368-n000004.json
index 5dfdcee1258de46bd3b2eda5e78ba228ed53bc3c..1069edc0b03017b5470fe36794cddea49cdaa4a1 100644
--- a/manifests/batches/oproofs/s00002-r00002368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002368-n000004",
   "batch_fingerprint": "3be2b1d99f405b8b862bf929cca7b3581116bbadd3b26499eb6922cd33e7893f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002368-n000004-0000-28e6dcaff743a092.parquet",
-      "sha256": "28e6dcaff743a092269624adcbe4017e7c58a447c40f238d4132738487102566",
-      "bytes": 196733,
-      "rows": 17,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002368-n000004-0000-dc69eeb34fd79630.parquet",
-      "sha256": "dc69eeb34fd79630ee08b684267c955559eaa501f85f55a73301f4da43740d12",
-      "bytes": 78999,
-      "rows": 3,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002369.lean\",\"c6d448e99ffc6847684726c2519304ad068c29b8aa885402a4d6568f1b248822\",0,\"lean_workbook_plus_37777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002370.lean\",\"90662e0170e6dcef2ec608e35cbe66c261daa1acc91d851bac493faf0d76d9fa\",0,\"lean_workbook_plus_37777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002371.lean\",\"2bbdbd3a53d0ea8d4fc79035fcc081e955b3fbed5eff50dc708e79adcf90a92c\",0,\"lean_workbook_28979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196733,
+      "path": "data/train/p33/oproofs-s00002-r00002368-n000004-0000-28e6dcaff743a092.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "28e6dcaff743a092269624adcbe4017e7c58a447c40f238d4132738487102566"
+    },
+    {
+      "bytes": 78999,
+      "path": "data/dev/p33/oproofs-s00002-r00002368-n000004-0000-dc69eeb34fd79630.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dc69eeb34fd79630ee08b684267c955559eaa501f85f55a73301f4da43740d12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002372-n000004.json b/manifests/batches/oproofs/s00002-r00002372-n000004.json
index 5c9f182a3357cb15ee7b5d3a007227174e57c688..bc5baeae397ff1935a24a48a28bb5a1899a5d296 100644
--- a/manifests/batches/oproofs/s00002-r00002372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002372-n000004",
   "batch_fingerprint": "6d28e456bf7888079cea6b08274b125accc100e88c792ecbf2e1932211d54673",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2372",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2373",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2374",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2375"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002372.lean\",\"9624fbb76a54a9dc64dbeb8a60783d886019cfe66b4591ec48dd4acbb869549e\",0,\"lean_workbook_plus_36080\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002373.lean\",\"0cf15408ac5ca0d0892c86f820cb50cf2e0c7ef7c45c4cb6445d1ae707fec6d4\",0,\"lean_workbook_plus_74090\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002374.lean\",\"b361c2fb6eb3ec8c7d79d0bb2202d8f220cc4b306f6b84812e5ad70603dd63d2\",0,\"lean_workbook_plus_56363\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002375.lean\",\"916f36cd928d1d0c22eafabd2c043e491934b9997ab9353d1490bcdbe82cdc7c\",0,\"lean_workbook_plus_58898\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002372-n000004-0000-0f57e98d35d7a64a.parquet",
-      "sha256": "0f57e98d35d7a64ae7156f37c77b78255eafa6f379f1009495640377afbe6d4b",
       "bytes": 140072,
+      "path": "data/train/p93/oproofs-s00002-r00002372-n000004-0000-0f57e98d35d7a64a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "0f57e98d35d7a64ae7156f37c77b78255eafa6f379f1009495640377afbe6d4b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002372-n000004-0000-9d0d2a90a29e6384.parquet",
-      "sha256": "9d0d2a90a29e6384ec17a644e157e15a962dd220909b777bdeb6e819ddb54cce",
       "bytes": 175023,
+      "path": "data/dev/p93/oproofs-s00002-r00002372-n000004-0000-9d0d2a90a29e6384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "9d0d2a90a29e6384ec17a644e157e15a962dd220909b777bdeb6e819ddb54cce"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002372-n000004-0000-e4dc4a41da730348.parquet",
-      "sha256": "e4dc4a41da7303482d6de3a963d40fe0813f98d324434118aa3df1b5ff82ecf1",
       "bytes": 129018,
+      "path": "data/internal_test/p93/oproofs-s00002-r00002372-n000004-0000-e4dc4a41da730348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "e4dc4a41da7303482d6de3a963d40fe0813f98d324434118aa3df1b5ff82ecf1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2372",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2373",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2374",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2375"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002372.lean\",\"9624fbb76a54a9dc64dbeb8a60783d886019cfe66b4591ec48dd4acbb869549e\",0,\"lean_workbook_plus_36080\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002373.lean\",\"0cf15408ac5ca0d0892c86f820cb50cf2e0c7ef7c45c4cb6445d1ae707fec6d4\",0,\"lean_workbook_plus_74090\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002374.lean\",\"b361c2fb6eb3ec8c7d79d0bb2202d8f220cc4b306f6b84812e5ad70603dd63d2\",0,\"lean_workbook_plus_56363\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002375.lean\",\"916f36cd928d1d0c22eafabd2c043e491934b9997ab9353d1490bcdbe82cdc7c\",0,\"lean_workbook_plus_58898\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002376-n000004.json b/manifests/batches/oproofs/s00002-r00002376-n000004.json
index 7c4c41762d9daacc8e65a61e4fab7e66eff42611..2f5a9fdfd63982266626655d73c6c2f720a53826 100644
--- a/manifests/batches/oproofs/s00002-r00002376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002376-n000004",
   "batch_fingerprint": "b2915448dcd6bc0e5fe2eefe572d06a159376828cf18677e5c6e69aa29a991da",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2376",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2377",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2378",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2379"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002376.lean\",\"c0f3fe2b47ee5e5e48cf98fda60f2610edff13d7bd13b6a7452a3b654f28bdb3\",0,\"circle_points\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002377.lean\",\"f70beca966b7cc9db4a8dc52070296bb7a89a366c60c4b8048c5c623080d73af\",0,\"complex_point_location\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002378.lean\",\"a9499bf4937f8a204055329f4d90cfe957b43616870304cb8b0143448209627b\",0,\"lean_workbook_plus_66444\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002379.lean\",\"1d054651d142bdf18dd9c8982631f6a568f8e2de30b21a6c2ffc115c96cdd5fb\",0,\"lean_workbook_plus_79960\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002376-n000004-0000-51a4aa146b9c7e5c.parquet",
-      "sha256": "51a4aa146b9c7e5cbbf281e13d36be80f9a2e984b832de5574c8971fc0d20703",
       "bytes": 135477,
+      "path": "data/train/p16/oproofs-s00002-r00002376-n000004-0000-51a4aa146b9c7e5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "51a4aa146b9c7e5cbbf281e13d36be80f9a2e984b832de5574c8971fc0d20703"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002376-n000004-0000-42c88a576d7b7f27.parquet",
-      "sha256": "42c88a576d7b7f27eeca82c6262d12b8f8945d7b73046592e0d63aedb60c68bd",
       "bytes": 37809,
+      "path": "data/dev/p16/oproofs-s00002-r00002376-n000004-0000-42c88a576d7b7f27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "42c88a576d7b7f27eeca82c6262d12b8f8945d7b73046592e0d63aedb60c68bd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002376-n000004-0000-34981da6d4379b47.parquet",
-      "sha256": "34981da6d4379b4725b0ca636a9f4686118857e2a43744e071060748439ec3bf",
       "bytes": 85213,
+      "path": "data/internal_test/p16/oproofs-s00002-r00002376-n000004-0000-34981da6d4379b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "34981da6d4379b4725b0ca636a9f4686118857e2a43744e071060748439ec3bf"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2376",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2377",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2378",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2379"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002376.lean\",\"c0f3fe2b47ee5e5e48cf98fda60f2610edff13d7bd13b6a7452a3b654f28bdb3\",0,\"circle_points\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002377.lean\",\"f70beca966b7cc9db4a8dc52070296bb7a89a366c60c4b8048c5c623080d73af\",0,\"complex_point_location\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002378.lean\",\"a9499bf4937f8a204055329f4d90cfe957b43616870304cb8b0143448209627b\",0,\"lean_workbook_plus_66444\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002379.lean\",\"1d054651d142bdf18dd9c8982631f6a568f8e2de30b21a6c2ffc115c96cdd5fb\",0,\"lean_workbook_plus_79960\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002380-n000004.json b/manifests/batches/oproofs/s00002-r00002380-n000004.json
index c84f276522cf22f19833f642affaeaedf6d05fe5..9958af380e7eaf4be80c5d47e57131b38a7c94f1 100644
--- a/manifests/batches/oproofs/s00002-r00002380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002380-n000004",
   "batch_fingerprint": "344be807fcd96a1b6caaede8933ff206596e3dc83786f945d74b245bf005a4e9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2380",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2381",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2382",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2383"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002380.lean\",\"0113d2be6c52db2ed99aa14d53b1b26ac201920bda999834bb6e193549f27565\",0,\"lean_workbook_plus_19201\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002381.lean\",\"44597e4e12a95a5a9188a37f4417e2dca29e137761bf8d89252401e0630a60dc\",0,\"lean_workbook_26956\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002382.lean\",\"b58ef55777b170728c3f5fcb608d7343fecd955d914a092d370afeb90722d89c\",0,\"lean_workbook_15692\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002383.lean\",\"f575ba01304251782247be79eec6005cc3b90ab73d9df70294ba7311c8acff03\",0,\"car_meeting_distance\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002380-n000004-0000-ec86f698d2edd724.parquet",
-      "sha256": "ec86f698d2edd724581573ea9883dd12936ba897569cb30a8089b11d575f3518",
       "bytes": 169767,
+      "path": "data/train/pec/oproofs-s00002-r00002380-n000004-0000-ec86f698d2edd724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "ec86f698d2edd724581573ea9883dd12936ba897569cb30a8089b11d575f3518"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002380-n000004-0000-d18e0c33cc6f7b51.parquet",
-      "sha256": "d18e0c33cc6f7b517fd63ea7df9bf26eaf57a3688ae8023fa9b2049599cd411e",
       "bytes": 73897,
+      "path": "data/dev/pec/oproofs-s00002-r00002380-n000004-0000-d18e0c33cc6f7b51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "d18e0c33cc6f7b517fd63ea7df9bf26eaf57a3688ae8023fa9b2049599cd411e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002380-n000004-0000-12e6672d5c1737af.parquet",
-      "sha256": "12e6672d5c1737af014ad896eb59a8a2d4e302883a1621a9e64bac919051d5f5",
       "bytes": 127304,
+      "path": "data/internal_test/pec/oproofs-s00002-r00002380-n000004-0000-12e6672d5c1737af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "12e6672d5c1737af014ad896eb59a8a2d4e302883a1621a9e64bac919051d5f5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2380",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2381",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2382",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2383"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002380.lean\",\"0113d2be6c52db2ed99aa14d53b1b26ac201920bda999834bb6e193549f27565\",0,\"lean_workbook_plus_19201\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002381.lean\",\"44597e4e12a95a5a9188a37f4417e2dca29e137761bf8d89252401e0630a60dc\",0,\"lean_workbook_26956\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002382.lean\",\"b58ef55777b170728c3f5fcb608d7343fecd955d914a092d370afeb90722d89c\",0,\"lean_workbook_15692\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002383.lean\",\"f575ba01304251782247be79eec6005cc3b90ab73d9df70294ba7311c8acff03\",0,\"car_meeting_distance\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002384-n000004.json b/manifests/batches/oproofs/s00002-r00002384-n000004.json
index eeb7b9e10a67e4a4575011014d1062859c12f3f2..f769b8b939ac771e13ea174edca37eea2118f77b 100644
--- a/manifests/batches/oproofs/s00002-r00002384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002384-n000004",
   "batch_fingerprint": "e1b962fbbc0bac0bef6bcc365f418108f8edefe0bb6de392005a26b84de75149",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002384-n000004-0000-5e3350f4cdc807ca.parquet",
-      "sha256": "5e3350f4cdc807caa4e9bdae24620fd41f8ab578c29583667a797544e2db5097",
-      "bytes": 416304,
-      "rows": 14,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002384-n000004-0000-2b0ddba020ff087b.parquet",
-      "sha256": "2b0ddba020ff087bd611cf7e7dc255063142092b6ab55e2f77aca63fcb3cfcef",
-      "bytes": 54670,
-      "rows": 4,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002385.lean\",\"4c9590c0ade6c7cdcd7b6f4e622630cca65738393660a4d76921403b7598a240\",0,\"lean_workbook_plus_7243\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002386.lean\",\"e4cb57ec6b7eebd3be7bd6b0d03c7f68b557bbb105e0a0994015b08acdb062a0\",0,\"lean_workbook_plus_10553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002387.lean\",\"bd9af22487656dc06bb0c43c342711baacc5435459ffa1fe451e56a358dff086\",0,\"lean_workbook_plus_60731\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416304,
+      "path": "data/train/p39/oproofs-s00002-r00002384-n000004-0000-5e3350f4cdc807ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5e3350f4cdc807caa4e9bdae24620fd41f8ab578c29583667a797544e2db5097"
+    },
+    {
+      "bytes": 54670,
+      "path": "data/internal_test/p39/oproofs-s00002-r00002384-n000004-0000-2b0ddba020ff087b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2b0ddba020ff087bd611cf7e7dc255063142092b6ab55e2f77aca63fcb3cfcef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002388-n000004.json b/manifests/batches/oproofs/s00002-r00002388-n000004.json
index fdd763669f7838bdffe235ad35aa9582be985e8f..aad775e76899d5b3359f3c58ef52b58f8d2b5023 100644
--- a/manifests/batches/oproofs/s00002-r00002388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002388-n000004",
   "batch_fingerprint": "012201de4e582a1214eaa0e9253720d43e230132fac9d315f15f0d2658e59c1c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002388-n000004-0000-199e6839b789f5e6.parquet",
-      "sha256": "199e6839b789f5e6c750b28c3ef41fa5703fe81c2a5ec9cdeb8661ecb7976168",
-      "bytes": 614740,
-      "rows": 19,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002389.lean\",\"df396ea26e98afbcd7e485cdb5ed85ef422c472eb4aa72c2b922e634820b776b\",0,\"lean_workbook_plus_26619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002390.lean\",\"8fc63178d722438de879867cacae87d536d2e6895982d38920479da19c58a315\",0,\"lean_workbook_plus_8715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002391.lean\",\"da07a400bf8a5fa1bce12c8d7cec0bb6da49610caa88dc72075ca1b0accc1a1b\",0,\"lean_workbook_plus_52215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 614740,
+      "path": "data/train/p92/oproofs-s00002-r00002388-n000004-0000-199e6839b789f5e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "199e6839b789f5e6c750b28c3ef41fa5703fe81c2a5ec9cdeb8661ecb7976168"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002392-n000004.json b/manifests/batches/oproofs/s00002-r00002392-n000004.json
index 8bf2efb7ebda7f4aa9784ca689625a595f4d8940..d48bba9c2d0f4fdbd36ad6e43296d8c4ee61c9e2 100644
--- a/manifests/batches/oproofs/s00002-r00002392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002392-n000004",
   "batch_fingerprint": "a7ca6eac55c7f1cbd1736bfa895c57de50cc2e2e11a8206e2852764d9d457286",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002392-n000004-0000-17e9261838b6f494.parquet",
-      "sha256": "17e9261838b6f494fb77eaab2ee89c85ff05a23c70f0ba5e13c0896efa61412d",
-      "bytes": 279466,
-      "rows": 17,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002393.lean\",\"142e30c0da82fd4421b2b802c92259edb842e7e94d58513ff8225966c857aa01\",0,\"lean_workbook_41700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002394.lean\",\"8aaa40b6dd89c160aadda8771d76b5230c7b277dfbc8b988467d0c76ec003f85\",0,\"lean_workbook_plus_24749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002395.lean\",\"216bb652b5f42360869a9b6c326b881de906ddf353c32514a7ac41304d1dbb43\",0,\"lean_workbook_plus_25499\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279466,
+      "path": "data/train/p9e/oproofs-s00002-r00002392-n000004-0000-17e9261838b6f494.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "17e9261838b6f494fb77eaab2ee89c85ff05a23c70f0ba5e13c0896efa61412d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002396-n000004.json b/manifests/batches/oproofs/s00002-r00002396-n000004.json
index 085fa5cc03894d5bb6c8fd5786d4fb194b84b7ef..128796b698808ca75c5a9ba3431106918d224cdb 100644
--- a/manifests/batches/oproofs/s00002-r00002396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002396-n000004",
   "batch_fingerprint": "eff40cf1045050e6434189f05aeaa75c0933d03f57b42fae95813c364b6d96a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002396-n000004-0000-de096cd1a1c5ca30.parquet",
-      "sha256": "de096cd1a1c5ca30cbdf8d080a81faee059d46a4944640328b700be46d097687",
-      "bytes": 163191,
-      "rows": 15,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002397.lean\",\"42c5bf26f26de46c02b506af1b0048d0a81b1d4428b3d02fa1300a173f3f91e8\",0,\"lean_workbook_plus_66801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002398.lean\",\"58cf12d49f7fe033de05540b1b76cf5ecd238d19ec4808d9d4844b014f239fd1\",0,\"lean_workbook_plus_4783\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002399.lean\",\"0858dc17027cc48f80be49e5e4bd6ae240a7e419e4e8fef5325a23659d692c8e\",0,\"lean_workbook_plus_14711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163191,
+      "path": "data/train/p17/oproofs-s00002-r00002396-n000004-0000-de096cd1a1c5ca30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "de096cd1a1c5ca30cbdf8d080a81faee059d46a4944640328b700be46d097687"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002400-n000004.json b/manifests/batches/oproofs/s00002-r00002400-n000004.json
index 64c7212d45edf8f62499986e8a43935b85de4a47..b2bdc19a4f4b4909a0809c4c22f3cf2c1c179f21 100644
--- a/manifests/batches/oproofs/s00002-r00002400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002400-n000004",
   "batch_fingerprint": "768115535e700c966d1f8d8c3a1adf417a6719c1179ed2c3930698f115c5f5b9",
   "evidence": {
@@ -41,22 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002400-n000004-0000-9ea77f0ecbf6e598.parquet",
-      "sha256": "9ea77f0ecbf6e598d66da85314d2e4a05abacace9979b144e088ccd1b04f870e",
-      "bytes": 264019,
-      "rows": 6,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002400-n000004-0000-4bf6d403a8de2550.parquet",
-      "sha256": "4bf6d403a8de2550f799f71a85afce6640bc8624a2e3ae3953265590ba44b638",
-      "bytes": 99916,
-      "rows": 4,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2401",
@@ -66,5 +50,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002400.lean\",\"16d45a25b1367383f78a2277bf41db718637d4ebcf74ac11ff9543bdb297a5af\",0,\"lean_workbook_plus_33251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002401.lean\",\"36fdcac3e67f847028836e6208cf84b981825e9331937c64dca70a9944ac17f5\",0,\"lean_workbook_56775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002402.lean\",\"274eba41ae12e303ec591d001424c19381354fed3a39a470ec3db5229648e74b\",0,\"lean_workbook_40209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264019,
+      "path": "data/train/pa5/oproofs-s00002-r00002400-n000004-0000-9ea77f0ecbf6e598.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9ea77f0ecbf6e598d66da85314d2e4a05abacace9979b144e088ccd1b04f870e"
+    },
+    {
+      "bytes": 99916,
+      "path": "data/dev/pa5/oproofs-s00002-r00002400-n000004-0000-4bf6d403a8de2550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4bf6d403a8de2550f799f71a85afce6640bc8624a2e3ae3953265590ba44b638"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002404-n000004.json b/manifests/batches/oproofs/s00002-r00002404-n000004.json
index 9e275f021a49b6d4640dff84d183620a2b396324..6d5ccfc4ab73763d427560f26c971774df79163d 100644
--- a/manifests/batches/oproofs/s00002-r00002404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002404-n000004",
   "batch_fingerprint": "c96a0d79ad039dd60ffb7a549dc65627271ac37382fec8b53d2e7179f47d36d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002404-n000004-0000-629af35e5fa19df6.parquet",
-      "sha256": "629af35e5fa19df68ac21f80cee0cbf110e107d2f8b27274eff72b60164fa61e",
-      "bytes": 136763,
-      "rows": 10,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002404-n000004-0000-51c481e0de782bbf.parquet",
-      "sha256": "51c481e0de782bbfa1ee231dbe1cb4ccdd166f5f9b3ad2b7152153dc2972bf8d",
-      "bytes": 227701,
-      "rows": 10,
-      "revision": "ed9b7fee3c150a0e14ce8cfda3a63c5ce768f132"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2405",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002405.lean\",\"cd50109cdbe1d4f13bd864bcc97bf75c81d0dd5c16c6f012c5c694ec747cd0dd\",0,\"lean_workbook_plus_12885\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002406.lean\",\"d4ff7fea921793a355cd5e3502214fc816047587f15932179348904bd8286d07\",0,\"lean_workbook_plus_49893\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002407.lean\",\"f89ead8f0c896f9c24cb73bda5c28734a3e2e11e6fac80d9cf88310a0bca8fa9\",0,\"lean_workbook_plus_75627\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136763,
+      "path": "data/train/p91/oproofs-s00002-r00002404-n000004-0000-629af35e5fa19df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "629af35e5fa19df68ac21f80cee0cbf110e107d2f8b27274eff72b60164fa61e"
+    },
+    {
+      "bytes": 227701,
+      "path": "data/internal_test/p91/oproofs-s00002-r00002404-n000004-0000-51c481e0de782bbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "51c481e0de782bbfa1ee231dbe1cb4ccdd166f5f9b3ad2b7152153dc2972bf8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002408-n000004.json b/manifests/batches/oproofs/s00002-r00002408-n000004.json
index 3ecbad8a751dceef557b3f4a13efe0445332cb8c..ea308e5de7936b6fa25a5c553ff56eb024b8ca80 100644
--- a/manifests/batches/oproofs/s00002-r00002408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002408-n000004",
   "batch_fingerprint": "db3675ad287dd63fbac72c3f02b9d765c5e1e6b87fc3851e11eb4d4270ce9e74",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002408-n000004-0000-29e1f52203bad503.parquet",
-      "sha256": "29e1f52203bad503678327bd9e0b0b468f7908d393f7ae68120947a1d0c8932c",
-      "bytes": 394302,
-      "rows": 26,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002408-n000004-0000-f99b380b65fab21e.parquet",
-      "sha256": "f99b380b65fab21e78b6ee82eaa9ff14eade722cf4013180cc029dabf0039987",
-      "bytes": 121610,
-      "rows": 4,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2409",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002409.lean\",\"c553302bc2ae184cff73c480ccade423481c92952369eeb6c5bfbd7396cf5307\",0,\"lean_workbook_plus_22447\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002410.lean\",\"c5eb449500dceda3afdfa050d589e71be1886a682e4ce508945724ad43e9164a\",0,\"lean_workbook_plus_18963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002411.lean\",\"0aa5943753d0536b2229e103da29535fe5b1b04cfb8e9362247df8f21d44578a\",0,\"lean_workbook_plus_39026\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394302,
+      "path": "data/train/p31/oproofs-s00002-r00002408-n000004-0000-29e1f52203bad503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "29e1f52203bad503678327bd9e0b0b468f7908d393f7ae68120947a1d0c8932c"
+    },
+    {
+      "bytes": 121610,
+      "path": "data/internal_test/p31/oproofs-s00002-r00002408-n000004-0000-f99b380b65fab21e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f99b380b65fab21e78b6ee82eaa9ff14eade722cf4013180cc029dabf0039987"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002412-n000004.json b/manifests/batches/oproofs/s00002-r00002412-n000004.json
index 702a1e14b15d5dd57c3645ab5548958eca67359d..0d78889fd3a8df15563f0a95a6214a50424f0f37 100644
--- a/manifests/batches/oproofs/s00002-r00002412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002412-n000004",
   "batch_fingerprint": "1373ce0d819f04b8d913d7cdef816dfb537b919a003331c5d2b762fb72f94223",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002412-n000004-0000-eb5d957d6eb4c038.parquet",
-      "sha256": "eb5d957d6eb4c0382f108c4624bc7b531a40bd6fda67d3ba0052e28a96cd549b",
-      "bytes": 132609,
-      "rows": 9,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002412-n000004-0000-5f62682e2478eb7e.parquet",
-      "sha256": "5f62682e2478eb7eb751be8c4eb36486a62a10e8b559c7c12599f0ff3043c30a",
-      "bytes": 162939,
-      "rows": 10,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2413",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002413.lean\",\"b15c88ddc9293d8e34d21dca25586058432b3c25a423d183faaa3962d7346e0a\",0,\"lean_workbook_plus_46588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002414.lean\",\"56f50152520dc8fea8ab3667cad00918d2a4445ca53b31cc21e4b44c2be19efb\",0,\"triangle_area_complex_points\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002415.lean\",\"ac038299307bd8e606418b048d0257b823bcdd79c5339fbaad3ef6f59c5b9d37\",0,\"lean_workbook_plus_43088\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132609,
+      "path": "data/train/p71/oproofs-s00002-r00002412-n000004-0000-eb5d957d6eb4c038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "eb5d957d6eb4c0382f108c4624bc7b531a40bd6fda67d3ba0052e28a96cd549b"
+    },
+    {
+      "bytes": 162939,
+      "path": "data/dev/p71/oproofs-s00002-r00002412-n000004-0000-5f62682e2478eb7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5f62682e2478eb7eb751be8c4eb36486a62a10e8b559c7c12599f0ff3043c30a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002416-n000004.json b/manifests/batches/oproofs/s00002-r00002416-n000004.json
index d8e36713e879436d27ed22909fcb0c205ee8d53e..395aa918519afd6ea8240dfd9ff1b4f6ee6f3d58 100644
--- a/manifests/batches/oproofs/s00002-r00002416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002416-n000004",
   "batch_fingerprint": "5565a4cbce35ecee416f06e9d5f758e1205c041dde97c5c40b06dda314387db9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002416-n000004-0000-190ef4d872c4ee65.parquet",
-      "sha256": "190ef4d872c4ee65b026db91939737f80a0c433706cbe7aacdf13854800bd802",
-      "bytes": 206377,
-      "rows": 15,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002416-n000004-0000-8bcc7f33730ed728.parquet",
-      "sha256": "8bcc7f33730ed72880911227b1c9b2469a40ed9565026c080f43c0f875226f01",
-      "bytes": 36039,
-      "rows": 3,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002417.lean\",\"da30c7d8d6c4090e02655002c5fa5150e5fe80623746004b943c3d56462b2845\",0,\"lean_workbook_plus_29505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002418.lean\",\"3d0db6708b25c55f9ad0e047e8d86f8e8e5b4bed6495273f291ce95b1a9a9a66\",0,\"lean_workbook_23032\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002419.lean\",\"14daeca056dcf5dff3ff311c6a02a2687742cbe9e4091d44043390594f5d2475\",0,\"lean_workbook_plus_22653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206377,
+      "path": "data/train/p3b/oproofs-s00002-r00002416-n000004-0000-190ef4d872c4ee65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "190ef4d872c4ee65b026db91939737f80a0c433706cbe7aacdf13854800bd802"
+    },
+    {
+      "bytes": 36039,
+      "path": "data/dev/p3b/oproofs-s00002-r00002416-n000004-0000-8bcc7f33730ed728.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8bcc7f33730ed72880911227b1c9b2469a40ed9565026c080f43c0f875226f01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002420-n000004.json b/manifests/batches/oproofs/s00002-r00002420-n000004.json
index 1a838201181b0d4f02bec7df9a5909c4bd93f48e..bddd55bab09b5eda44ce25a45cf5868e3ac8398f 100644
--- a/manifests/batches/oproofs/s00002-r00002420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002420-n000004",
   "batch_fingerprint": "5ac3e04f8d48cc7cac6bf2b3c85630941dfd8cf99dc96af59e175d73c3740d65",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002420-n000004-0000-c0c1a6c120d715fd.parquet",
-      "sha256": "c0c1a6c120d715fdc5e6318ab2d3427354273928b83898bf4975704fbaa0600a",
-      "bytes": 169118,
-      "rows": 24,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002421.lean\",\"61229cdab0cd604fd2da0d93c93a72595a91667ca3e00582f777a6ad71cca6fe\",0,\"division_locus_circle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002422.lean\",\"3433636dd3fc4ff1402da8d7d805fc5da1f031f088de78c687a7abeac2896d0e\",0,\"lean_workbook_plus_75581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002423.lean\",\"6b017db3ae1c5e82eac6aa80ecdb59e021f4645bf92e393dec98e9e73d24309e\",0,\"lean_workbook_plus_47297\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169118,
+      "path": "data/train/pc7/oproofs-s00002-r00002420-n000004-0000-c0c1a6c120d715fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c0c1a6c120d715fdc5e6318ab2d3427354273928b83898bf4975704fbaa0600a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002424-n000004.json b/manifests/batches/oproofs/s00002-r00002424-n000004.json
index e485a7517ae400a964060de2706e96270862cfe2..3055838c4b8ea6de68e9f6049ba67199e7bf35f4 100644
--- a/manifests/batches/oproofs/s00002-r00002424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002424-n000004",
   "batch_fingerprint": "d869f639b3fd32f360e5ae21cf30e31d92129a00880ca2148176ef666dd1e69e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002424-n000004-0000-e3e2a2732b7081aa.parquet",
-      "sha256": "e3e2a2732b7081aacc4b7f4df93d6ff4e71babd25682761de6fa86725d6517a7",
-      "bytes": 217064,
-      "rows": 17,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002425.lean\",\"0a7fa9f2d084b772bfa8c43f6d07d59341ca4ed2ed881921cd26dd822f76da5a\",0,\"lean_workbook_plus_63805\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002426.lean\",\"b88ef202bf97373a0626f9010adc6189693ff5e881faa65af7c69cf149325305\",0,\"matrix_equation_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002427.lean\",\"708d436f5f1d870b549cf43df43845aa472952245802eac3f05af78711212eb4\",0,\"marble_arrangement\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217064,
+      "path": "data/train/pf8/oproofs-s00002-r00002424-n000004-0000-e3e2a2732b7081aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e3e2a2732b7081aacc4b7f4df93d6ff4e71babd25682761de6fa86725d6517a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002428-n000004.json b/manifests/batches/oproofs/s00002-r00002428-n000004.json
index 3b60769af3df1e52c297b57d55b1f9213cc971ca..382377337ab2860df1628c81ab955a84605affb5 100644
--- a/manifests/batches/oproofs/s00002-r00002428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002428-n000004",
   "batch_fingerprint": "fec7cd887265b3b0f89b4b126cb528de0a2dd8862ca13a77959c5b7f4b3981ae",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2428",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2429",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2430",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2431"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002428.lean\",\"e96fb41adb369834701ea19ef57fd8571db9047d72b21a0a3412a043149923ea\",0,\"lean_workbook_plus_66970\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002429.lean\",\"6a66134775ede4b0c6537883be5f65806050d21c4cb0c474bcfb1f0fbf96b477\",0,\"lean_workbook_32141\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002430.lean\",\"bd7309b444a7db8d7e307118c98449f6c148b412ab6f7e827f8ea650cf92c661\",0,\"lean_workbook_plus_26378\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002431.lean\",\"da343ff0c304334f187f2bbd62b406f4db4b141dd6d2d6192257b7f033c9006c\",0,\"lean_workbook_plus_37777\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002428-n000004-0000-a7ec3741158f9684.parquet",
-      "sha256": "a7ec3741158f9684430aa919c0ab575e543849de4a9aa00e5cc223e61cb7e47f",
       "bytes": 66348,
+      "path": "data/train/pf1/oproofs-s00002-r00002428-n000004-0000-a7ec3741158f9684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "a7ec3741158f9684430aa919c0ab575e543849de4a9aa00e5cc223e61cb7e47f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002428-n000004-0000-dbf208e01dba7466.parquet",
-      "sha256": "dbf208e01dba7466db7558accbf95d70e7eba0592326c0dd3bb60f2aa7f45de2",
       "bytes": 204787,
+      "path": "data/dev/pf1/oproofs-s00002-r00002428-n000004-0000-dbf208e01dba7466.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "dbf208e01dba7466db7558accbf95d70e7eba0592326c0dd3bb60f2aa7f45de2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002428-n000004-0000-3d097db6e785ef54.parquet",
-      "sha256": "3d097db6e785ef5442e5378f84ce346d366360c7f14a5c142570754dff2e799b",
       "bytes": 47011,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00002428-n000004-0000-3d097db6e785ef54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "0ed72af3f40ddd84ae44a5d48b645aa0b9c09064"
+      "sha256": "3d097db6e785ef5442e5378f84ce346d366360c7f14a5c142570754dff2e799b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2428",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2429",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2430",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2431"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002428.lean\",\"e96fb41adb369834701ea19ef57fd8571db9047d72b21a0a3412a043149923ea\",0,\"lean_workbook_plus_66970\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002429.lean\",\"6a66134775ede4b0c6537883be5f65806050d21c4cb0c474bcfb1f0fbf96b477\",0,\"lean_workbook_32141\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002430.lean\",\"bd7309b444a7db8d7e307118c98449f6c148b412ab6f7e827f8ea650cf92c661\",0,\"lean_workbook_plus_26378\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002431.lean\",\"da343ff0c304334f187f2bbd62b406f4db4b141dd6d2d6192257b7f033c9006c\",0,\"lean_workbook_plus_37777\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002432-n000004.json b/manifests/batches/oproofs/s00002-r00002432-n000004.json
index f4e7f8cc364e553841846c8ac6e1404278378ff4..7fa6f05b655b99d5ed34add7b44e3221895ae775 100644
--- a/manifests/batches/oproofs/s00002-r00002432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002432-n000004",
   "batch_fingerprint": "2a96caa7b58ee3ba25169f19f09bee1ddffd9953e35b817791b57c759fc97447",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002432-n000004-0000-b8f008652334a22a.parquet",
-      "sha256": "b8f008652334a22a0b119ede2a481b5a7072a1e70ad23f155f7467738f22d7b7",
-      "bytes": 558133,
-      "rows": 29,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002433.lean\",\"6ef5b35b35b7f64ee391b25cdf2c356bf15bf5574eab750cf7c2130ec495cb4f\",0,\"lean_workbook_28979\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002434.lean\",\"db38408a5345a30c6b30be71179bb71452dcad4cc58533ceac7b1f5915f8263e\",0,\"lean_workbook_plus_37777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002435.lean\",\"f5e55f2b3578d28a115ce8d5a15ae86c59d25159bdb244e551c18033a1aee121\",0,\"lean_workbook_plus_45864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558133,
+      "path": "data/train/p99/oproofs-s00002-r00002432-n000004-0000-b8f008652334a22a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "b8f008652334a22a0b119ede2a481b5a7072a1e70ad23f155f7467738f22d7b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002436-n000004.json b/manifests/batches/oproofs/s00002-r00002436-n000004.json
index c04a8ddb2ee31a6d2a45778681911d3dbb4432f3..cbc767f036e874d298a2ebacd03eaeeaa5a1bfdb 100644
--- a/manifests/batches/oproofs/s00002-r00002436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002436-n000004",
   "batch_fingerprint": "b4ac9af6d32e9a4ef63a89c164a261149e47ae419262212776a4acc92bb39d0c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002436-n000004-0000-cd1259a58b7195cb.parquet",
-      "sha256": "cd1259a58b7195cb52d389dd6357d68202463deaa422edabf8453dd726572e69",
-      "bytes": 122140,
-      "rows": 14,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002436-n000004-0000-6ff8e70b67024276.parquet",
-      "sha256": "6ff8e70b670242766d9581522e0651b40e1bc08b976fe9287ee8a726b0f1bc32",
-      "bytes": 128633,
-      "rows": 7,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002437.lean\",\"1b422f20237d8d46ffed3c418a630c6aa0950018970b892c0b4bb1ee137c35d7\",1,\"sphere_points\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002438.lean\",\"0fe288a9f603e586dca1a7b3bd81aa7fc80fadf274091466b94661cdfa51cc8a\",0,\"lean_workbook_plus_58898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002439.lean\",\"137c0d006eb7f34f7566bc3fe3a827ad9117809f45cb921f304028320ae4c938\",0,\"complex_point_location\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122140,
+      "path": "data/train/p5d/oproofs-s00002-r00002436-n000004-0000-cd1259a58b7195cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cd1259a58b7195cb52d389dd6357d68202463deaa422edabf8453dd726572e69"
+    },
+    {
+      "bytes": 128633,
+      "path": "data/internal_test/p5d/oproofs-s00002-r00002436-n000004-0000-6ff8e70b67024276.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6ff8e70b670242766d9581522e0651b40e1bc08b976fe9287ee8a726b0f1bc32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002440-n000004.json b/manifests/batches/oproofs/s00002-r00002440-n000004.json
index 9abd0821d2ed79115f93ba42f7438156802b66f6..529426b4a75415804c07f61eeb296e11ccc44ff3 100644
--- a/manifests/batches/oproofs/s00002-r00002440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002440-n000004",
   "batch_fingerprint": "0e6b446ba0458f559474797a1df2b3f502fcce622218e6d8ec69dd10d3fca694",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002440-n000004-0000-53bd8332c5f763cb.parquet",
-      "sha256": "53bd8332c5f763cb2754adf39ae43a44fffff242fb9a731f30fe86a79ad30463",
-      "bytes": 455124,
-      "rows": 20,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002441.lean\",\"ad770458cc9145fec4b3f627e1adb84aa82b8e60310e9d8e9a481be5eaacfbe2\",0,\"lean_workbook_plus_79960\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002442.lean\",\"636789f884afed551b8660ac91abac12352008b3cc1302640c7206a0fa0c4e23\",0,\"lean_workbook_plus_19997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002443.lean\",\"f15c5613bcf787f69ecf685ad4370104fd5af045d5e5e6e96c871f5b20844eec\",0,\"lean_workbook_plus_19201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455124,
+      "path": "data/train/p21/oproofs-s00002-r00002440-n000004-0000-53bd8332c5f763cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "53bd8332c5f763cb2754adf39ae43a44fffff242fb9a731f30fe86a79ad30463"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002444-n000004.json b/manifests/batches/oproofs/s00002-r00002444-n000004.json
index 05d885d805dee4ce99a1f69284b3e7f54b67ad8f..eca977692a76e8f4e056f6c4d2d5308455338f8c 100644
--- a/manifests/batches/oproofs/s00002-r00002444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002444-n000004",
   "batch_fingerprint": "511dbd6d4be26ad2dd7f306d70f8728ed950c81aee6096788cd8e3a7895d0006",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002444-n000004-0000-90f97410a8f95edb.parquet",
-      "sha256": "90f97410a8f95edbe5ef6d7bfa0a9d415fdd419de78bb9f3f54738cfa7321f69",
-      "bytes": 507920,
-      "rows": 35,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002444-n000004-0000-9e88a29ecf2537bf.parquet",
-      "sha256": "9e88a29ecf2537bfc3ca4646c3eacd29da61431f2d5b3e9053deaea7afe36b2d",
-      "bytes": 54551,
-      "rows": 5,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2445",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002445.lean\",\"d25fc2261e2287b7e3473cd0a32dcaac2802bf1f52650be2ea46482dba9e466d\",0,\"lean_workbook_plus_67713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002446.lean\",\"1fa9bcab0ffcfebdaf70da9839010d586aa76c170de785c118ee2c8ff1cdc332\",0,\"lean_workbook_26956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002447.lean\",\"45110910f339e93987135f44024cc7d0dfb1c6774bf2d2bb15a8f27f34faa911\",0,\"lean_workbook_plus_62473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 507920,
+      "path": "data/train/pc9/oproofs-s00002-r00002444-n000004-0000-90f97410a8f95edb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "90f97410a8f95edbe5ef6d7bfa0a9d415fdd419de78bb9f3f54738cfa7321f69"
+    },
+    {
+      "bytes": 54551,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00002444-n000004-0000-9e88a29ecf2537bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9e88a29ecf2537bfc3ca4646c3eacd29da61431f2d5b3e9053deaea7afe36b2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002448-n000004.json b/manifests/batches/oproofs/s00002-r00002448-n000004.json
index 52c1699b22b4ed2034324887f95fe2a0c86e8f28..c48e2efa4540f0dfd74898b8394a3ad9bfb507ea 100644
--- a/manifests/batches/oproofs/s00002-r00002448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002448-n000004",
   "batch_fingerprint": "e939134f866e006c1906034e6008ca179abc059b12a4d3f29461ab9909275783",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002448-n000004-0000-8b9f1540c4beb345.parquet",
-      "sha256": "8b9f1540c4beb345063d6a41f0057bb6622d2fa2ec6a3c491ebdda007611ffa0",
-      "bytes": 1039453,
-      "rows": 17,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002449.lean\",\"77b0e743a60edfd985f6c650f0545e3dc51bb63c0d99a997e089a5b467278e74\",0,\"lean_workbook_plus_10553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002450.lean\",\"f4e4fb95ecb2e5b2243a3ba17af880d38114ae8f4a0c61aff651f4de809119e4\",0,\"lean_workbook_plus_52215\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002451.lean\",\"2811807070d572bffa2d7bd0b690b0ac35c83cb170fbf58938c8d74d896b3df5\",0,\"lean_workbook_46351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1039453,
+      "path": "data/train/pf5/oproofs-s00002-r00002448-n000004-0000-8b9f1540c4beb345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8b9f1540c4beb345063d6a41f0057bb6622d2fa2ec6a3c491ebdda007611ffa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002452-n000004.json b/manifests/batches/oproofs/s00002-r00002452-n000004.json
index 96ed529d893f10f4e2bbcc063f49414d720bfbc0..3c88515bac43c6cdf4f5e3f90e2f63e0da257ce5 100644
--- a/manifests/batches/oproofs/s00002-r00002452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002452-n000004",
   "batch_fingerprint": "bae46b4ff531dbe126dc8e2379bbf50582959cc2b5c48fc7446e63f7f77277b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002452-n000004-0000-224cc62f854d1593.parquet",
-      "sha256": "224cc62f854d159302b01150a557cb7bbcf50ca5574559fa5c05a7383d0dee77",
-      "bytes": 228134,
-      "rows": 14,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002453.lean\",\"7ae78e2c1f6b751cb570b51a9d968d665ee32d285588dbe737bf25655957ff37\",0,\"lean_workbook_41700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002454.lean\",\"19a882943ec0a3eebf654e456cc30a54a6138da5526ab149062252be9776882c\",0,\"lean_workbook_plus_72999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002455.lean\",\"6f5fc0b28e22c46aa2eaafc550b88efa234b08f327fd972a649cb637c770717b\",0,\"lean_workbook_48628\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228134,
+      "path": "data/train/p69/oproofs-s00002-r00002452-n000004-0000-224cc62f854d1593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "224cc62f854d159302b01150a557cb7bbcf50ca5574559fa5c05a7383d0dee77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002456-n000004.json b/manifests/batches/oproofs/s00002-r00002456-n000004.json
index 3143cf4f521673757af7c7aaccf673bce9764142..da6cd0224be2f989f209b6fa700ed513fe7da46c 100644
--- a/manifests/batches/oproofs/s00002-r00002456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002456-n000004",
   "batch_fingerprint": "99e8b64d6ef238d94865b258c118d73dac302fe38cdac22f4ea80a11b364c359",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002456-n000004-0000-d3980b072e651556.parquet",
-      "sha256": "d3980b072e65155679a3dd038952f304b12c73a6802a50037c4f45222984fe5b",
-      "bytes": 632010,
-      "rows": 21,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002457.lean\",\"c87ad3a7eae114a9e6e9c0da29135aa133d2822100b6c7471377487a50fed7d7\",0,\"lean_workbook_plus_66801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002458.lean\",\"a6dac0e84a4d58258e87242957e176b69b1420d8ec62b4306d532dcceb0f4702\",0,\"lean_workbook_plus_25499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002459.lean\",\"eeadd40d24e391794700daaec72090062ef42e06244f084d8cd2b8772cb43f23\",0,\"lean_workbook_plus_46386\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 632010,
+      "path": "data/train/pfd/oproofs-s00002-r00002456-n000004-0000-d3980b072e651556.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d3980b072e65155679a3dd038952f304b12c73a6802a50037c4f45222984fe5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002460-n000004.json b/manifests/batches/oproofs/s00002-r00002460-n000004.json
index 8452c296b5c7f87dc1fd117baf0cb5b2de2bc3fd..6ac8e32a3a8ec5ae6844919b6792ea0ea0874be6 100644
--- a/manifests/batches/oproofs/s00002-r00002460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002460-n000004",
   "batch_fingerprint": "a4395b2c33a010585b00dac60542067e89cac679dced1311298e41dc637d3667",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002460-n000004-0000-367dd049c555961b.parquet",
-      "sha256": "367dd049c555961b946cb1d2c20652740e9a1765b5665b2e76280078d52fc6a5",
-      "bytes": 196624,
-      "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002461.lean\",\"28b48e1fd2cb4283268806d3068107a916418897f9f858cafa48905640717e60\",0,\"lean_workbook_plus_14711\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002462.lean\",\"a1fa20d0a2e9ba1bfcbef6c684b3470a279efac952c3f0e1cad179135ff34c9a\",0,\"lean_workbook_25617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002463.lean\",\"12f49a846fdeabab4902ca7242733647ca6b04d86cc63d0a1e4572d1a716acbc\",0,\"lean_workbook_56775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196624,
+      "path": "data/train/pe4/oproofs-s00002-r00002460-n000004-0000-367dd049c555961b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "367dd049c555961b946cb1d2c20652740e9a1765b5665b2e76280078d52fc6a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002464-n000004.json b/manifests/batches/oproofs/s00002-r00002464-n000004.json
index fdaa928f033d57fe6dbbab62191cf1355e15f5d3..f6b066ab85df52a72201f8c55812b1b545266eb9 100644
--- a/manifests/batches/oproofs/s00002-r00002464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002464-n000004",
   "batch_fingerprint": "ef3814083d962615458f2f987259c76176f2fd7faba3a62a320b7f52a6e52291",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2464",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2465",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2466",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2467"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002464.lean\",\"c88dc244782aae091c4e2ca5876f57a1e67d67bdf59e373990009636a4670985\",0,\"lean_workbook_plus_79384\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002465.lean\",\"69d1def04f26eb4b5b05b29f0edd225d423effeb915bc44cd7ff8bd49dec359c\",0,\"lean_workbook_plus_62617\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002466.lean\",\"2f28969580168d337a64734177e279495b427dc4fd13207d883a0a29cdd04179\",0,\"lean_workbook_plus_22386\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002467.lean\",\"6b1da535ae4d2e3c1df1d243f1f58f1a8e5dffd396ea2f7bfedbbe96e00ef0cb\",0,\"lean_workbook_plus_76091\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002464-n000004-0000-c21d4e77aae805dc.parquet",
-      "sha256": "c21d4e77aae805dca247abf12b85e723a7dc171b1d8814e48bbfc963bd9e3e18",
       "bytes": 487428,
+      "path": "data/train/pc0/oproofs-s00002-r00002464-n000004-0000-c21d4e77aae805dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "c21d4e77aae805dca247abf12b85e723a7dc171b1d8814e48bbfc963bd9e3e18"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002464-n000004-0001-3cc51ad703ed22b0.parquet",
-      "sha256": "3cc51ad703ed22b0fae95b6516fa41d5eeb934ba4db7a1f3dfdfc9a6c09bb308",
       "bytes": 726870,
+      "path": "data/train/pc0/oproofs-s00002-r00002464-n000004-0001-3cc51ad703ed22b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "3cc51ad703ed22b0fae95b6516fa41d5eeb934ba4db7a1f3dfdfc9a6c09bb308"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002464-n000004-0000-1b3715497fc009fe.parquet",
-      "sha256": "1b3715497fc009fe4a30dfffb1049f9cd64c5e0ca4d96051b5b0adc320365521",
       "bytes": 98205,
+      "path": "data/internal_test/pc0/oproofs-s00002-r00002464-n000004-0000-1b3715497fc009fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "1b3715497fc009fe4a30dfffb1049f9cd64c5e0ca4d96051b5b0adc320365521"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2464",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2465",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2466",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2467"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002464.lean\",\"c88dc244782aae091c4e2ca5876f57a1e67d67bdf59e373990009636a4670985\",0,\"lean_workbook_plus_79384\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002465.lean\",\"69d1def04f26eb4b5b05b29f0edd225d423effeb915bc44cd7ff8bd49dec359c\",0,\"lean_workbook_plus_62617\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002466.lean\",\"2f28969580168d337a64734177e279495b427dc4fd13207d883a0a29cdd04179\",0,\"lean_workbook_plus_22386\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002467.lean\",\"6b1da535ae4d2e3c1df1d243f1f58f1a8e5dffd396ea2f7bfedbbe96e00ef0cb\",0,\"lean_workbook_plus_76091\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002468-n000004.json b/manifests/batches/oproofs/s00002-r00002468-n000004.json
index 9d5213b671bccd5554fc02fc297389d992cde3aa..4de4c6e39d09860992b77baa92ce784b431a202f 100644
--- a/manifests/batches/oproofs/s00002-r00002468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002468-n000004",
   "batch_fingerprint": "0fab209e9d62dcf7965689c30d6266ea196db153dbce07128b4f97cd93115ca6",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002468-n000004-0000-cbcfd444a8bc1de5.parquet",
-      "sha256": "cbcfd444a8bc1de50c91cf092d3be087b30407ef0a6e941b8b0d528e3fee49e1",
-      "bytes": 148787,
-      "rows": 8,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002468-n000004-0000-a937e1b0b1abbfb5.parquet",
-      "sha256": "a937e1b0b1abbfb5c64a73e32f2b9b1ef9a89007f24fb915c42874dd61f30775",
-      "bytes": 46082,
-      "rows": 2,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2469",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2470",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002469.lean\",\"10999579ea86a0cc45f511c210d40695376e4df3218a0f2449917757685cd1bd\",0,\"lean_workbook_plus_75627\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002470.lean\",\"260c5e20055f09c345257d5709ee1eebf8ff554a2338c29121025d3bee48184a\",0,\"lean_workbook_plus_22447\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002471.lean\",\"371296de418a2993ea8aa8c23266d504cbf4c199626561ce8b7fa31ef1312b79\",0,\"lean_workbook_plus_49893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148787,
+      "path": "data/train/p46/oproofs-s00002-r00002468-n000004-0000-cbcfd444a8bc1de5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cbcfd444a8bc1de50c91cf092d3be087b30407ef0a6e941b8b0d528e3fee49e1"
+    },
+    {
+      "bytes": 46082,
+      "path": "data/internal_test/p46/oproofs-s00002-r00002468-n000004-0000-a937e1b0b1abbfb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a937e1b0b1abbfb5c64a73e32f2b9b1ef9a89007f24fb915c42874dd61f30775"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002472-n000004.json b/manifests/batches/oproofs/s00002-r00002472-n000004.json
index 8f7362427e01b5066dcf050405a253afa8db80ce..fb402095567cf299b78590b06b62b54ad6115d05 100644
--- a/manifests/batches/oproofs/s00002-r00002472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002472-n000004",
   "batch_fingerprint": "43a830a19bb999703be96d1740d20bff474cb3262f0049499497ce1789e192a2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2472",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2473",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2474",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2475"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002472.lean\",\"3300e6c0f0401c85881a536011d43fbdf6a7cb5bb288fc3c933faf4b3556c1d6\",0,\"set_intersection_problem\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002473.lean\",\"097564291b3cf8b629314cf1b56b7c9db35d3b0c72526cdc2dd5cb8a51167947\",0,\"lean_workbook_plus_46588\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002474.lean\",\"e191e1610d17607c448e8d09548aac76163801c6c1d17ee4aba592200b7062ac\",0,\"lean_workbook_plus_39026\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002475.lean\",\"a226a225334ab355591a5a50705136a31bbe43b6e995633ad45adc63f8c24053\",0,\"lean_workbook_plus_18963\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002472-n000004-0000-6adb752fdfaea987.parquet",
-      "sha256": "6adb752fdfaea98704c7a7cd0d5d47c23edc9f36751b1216ba926ec9c89805e0",
       "bytes": 185503,
+      "path": "data/train/p10/oproofs-s00002-r00002472-n000004-0000-6adb752fdfaea987.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "6adb752fdfaea98704c7a7cd0d5d47c23edc9f36751b1216ba926ec9c89805e0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002472-n000004-0000-8934fc05ab9c0831.parquet",
-      "sha256": "8934fc05ab9c08312286782f26172c9373a354238cade870e44c1b945ff290bb",
       "bytes": 49018,
+      "path": "data/dev/p10/oproofs-s00002-r00002472-n000004-0000-8934fc05ab9c0831.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "8934fc05ab9c08312286782f26172c9373a354238cade870e44c1b945ff290bb"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002472-n000004-0000-80020f9c877a5e56.parquet",
-      "sha256": "80020f9c877a5e566a6b38315b8cefbf891b5086cf15a387b3a41878aec09caf",
       "bytes": 108265,
+      "path": "data/internal_test/p10/oproofs-s00002-r00002472-n000004-0000-80020f9c877a5e56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "80020f9c877a5e566a6b38315b8cefbf891b5086cf15a387b3a41878aec09caf"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2472",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2473",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2474",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2475"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002472.lean\",\"3300e6c0f0401c85881a536011d43fbdf6a7cb5bb288fc3c933faf4b3556c1d6\",0,\"set_intersection_problem\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002473.lean\",\"097564291b3cf8b629314cf1b56b7c9db35d3b0c72526cdc2dd5cb8a51167947\",0,\"lean_workbook_plus_46588\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002474.lean\",\"e191e1610d17607c448e8d09548aac76163801c6c1d17ee4aba592200b7062ac\",0,\"lean_workbook_plus_39026\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002475.lean\",\"a226a225334ab355591a5a50705136a31bbe43b6e995633ad45adc63f8c24053\",0,\"lean_workbook_plus_18963\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002476-n000004.json b/manifests/batches/oproofs/s00002-r00002476-n000004.json
index 203ef16e237588c875e739135b337278d2f3ff42..c036ef73031f0fb551031d63d5f40814ee9b2a8c 100644
--- a/manifests/batches/oproofs/s00002-r00002476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002476-n000004",
   "batch_fingerprint": "d86e7c31b41d27619dbec3b66e5df97d9f20503652917b32e6aad3555a9df35f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002476-n000004-0000-84ddbc0900acde67.parquet",
-      "sha256": "84ddbc0900acde671e1646db4ec3e3895a4acb489f9075b9d72888693a9d6ef6",
-      "bytes": 117948,
-      "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002476-n000004-0000-34027401d04817ff.parquet",
-      "sha256": "34027401d04817ffdd4f78e2da3c34c3a9fb876261d225c0e9e35e8362caf975",
-      "bytes": 35466,
-      "rows": 3,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002477.lean\",\"5288facb99c30c9bc5846439629ba95b704793f6de195e0294bef3ae34a33cc4\",0,\"lean_workbook_plus_36858\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002478.lean\",\"ec047725fcf5f7c2a6b6ee35bbab573404ae3db310bd9a0f367807ce76f28873\",0,\"lean_workbook_plus_29505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002479.lean\",\"c90c12031eb242c943c5167f41d447c2fc58c3af61609411ed99b466d6d94dd9\",0,\"lean_workbook_plus_75581\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117948,
+      "path": "data/train/p75/oproofs-s00002-r00002476-n000004-0000-84ddbc0900acde67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "84ddbc0900acde671e1646db4ec3e3895a4acb489f9075b9d72888693a9d6ef6"
+    },
+    {
+      "bytes": 35466,
+      "path": "data/dev/p75/oproofs-s00002-r00002476-n000004-0000-34027401d04817ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "34027401d04817ffdd4f78e2da3c34c3a9fb876261d225c0e9e35e8362caf975"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002480-n000004.json b/manifests/batches/oproofs/s00002-r00002480-n000004.json
index 61a8006168a4c46e1461f844e1c851a75fa32877..3a9da323661d969e5f7693009b656471477f5f10 100644
--- a/manifests/batches/oproofs/s00002-r00002480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002480-n000004",
   "batch_fingerprint": "83d144b76a92efe392aff202bbe5f282c28c33e7aaecbfb695e255fa307bd7a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002480-n000004-0000-e7dca8adccc40aef.parquet",
-      "sha256": "e7dca8adccc40aefd3f640c28b9bca825133e1558cb2a3e207b9988731bbb8cd",
-      "bytes": 222191,
-      "rows": 19,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002481.lean\",\"f80f577b01d6e99ce1080c11d4b0fc0b332776e02b1b11bf9d89358f29eda3eb\",0,\"lean_workbook_plus_47297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002482.lean\",\"1b4d6b08db67c7369d6385ce79302aa8ec484dd44ec8156248ce15548167c9f4\",0,\"lean_workbook_plus_32288\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002483.lean\",\"fd99ee7ef9837fbcb904eecf068ce731b788907ed565d2f88fefe4ba0a4fca32\",0,\"lean_workbook_plus_34904\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222191,
+      "path": "data/train/p9a/oproofs-s00002-r00002480-n000004-0000-e7dca8adccc40aef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e7dca8adccc40aefd3f640c28b9bca825133e1558cb2a3e207b9988731bbb8cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002484-n000004.json b/manifests/batches/oproofs/s00002-r00002484-n000004.json
index 7d009e31157eaee0b76ba7df09b96d351a6b0bab..63e73b445b55228f97e766da01f4e1ff2fb7e214 100644
--- a/manifests/batches/oproofs/s00002-r00002484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002484-n000004",
   "batch_fingerprint": "9adda15d2c75a4b6854be966143d7e955a3a1ab7597e6be21077b56435b34464",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002484-n000004-0000-21dacaf0ccfd577e.parquet",
-      "sha256": "21dacaf0ccfd577eeb74536d3d5831cacdeb84282aa94f52b123c39879633a89",
-      "bytes": 204446,
-      "rows": 20,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002485.lean\",\"e15b878241fbf2f5c1577cadfd54b62181c895d355abb1ba7cbd8e36bf7d2061\",0,\"lean_workbook_plus_48205\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002486.lean\",\"ed9884a39a5ae27ef50827a7542bfab66fff25c05e0a20029e9f1d85fb276d41\",0,\"marble_arrangement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002487.lean\",\"1a3b3ef9b42cfb5c800a60c06f01bec5a2f88b473debec0bff918d1ccb0674bb\",0,\"matrix_equation_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204446,
+      "path": "data/train/p35/oproofs-s00002-r00002484-n000004-0000-21dacaf0ccfd577e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "21dacaf0ccfd577eeb74536d3d5831cacdeb84282aa94f52b123c39879633a89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002488-n000004.json b/manifests/batches/oproofs/s00002-r00002488-n000004.json
index f1e416e8ad33375395d98af22add23656c96c5eb..b98b6b25b40f29e748f970c87b02b3675934a3a0 100644
--- a/manifests/batches/oproofs/s00002-r00002488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002488-n000004",
   "batch_fingerprint": "7d7526d076cf96ffc33f4bee225d7a96d0cda5b29218c04aad022a7167ff30e5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002488-n000004-0000-703d68c8dffcb536.parquet",
-      "sha256": "703d68c8dffcb5368d9596097fb610ea6ee30d96319bc93a04a6d82c9bf8db07",
-      "bytes": 465543,
-      "rows": 16,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002488-n000004-0000-4cd2f95d28f882b4.parquet",
-      "sha256": "4cd2f95d28f882b40245e412fb88ee826191c7f40ea719ba934faa9db0c774b3",
-      "bytes": 52426,
-      "rows": 5,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002489.lean\",\"638529f3bdb07440392307e3663b0b0d6a9f4ed9756823df955de039b217a08e\",0,\"lean_workbook_plus_26378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002490.lean\",\"e320aab28c7d5aba9a628a03a582fdf84496e46b2ab9e65597887557e67a5702\",0,\"lean_workbook_plus_80907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002491.lean\",\"fa2e802a32004e4fb258a4234ba311945961f2e7134cef341f9a67bb3ead8e10\",0,\"lean_workbook_plus_18531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465543,
+      "path": "data/train/pa8/oproofs-s00002-r00002488-n000004-0000-703d68c8dffcb536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "703d68c8dffcb5368d9596097fb610ea6ee30d96319bc93a04a6d82c9bf8db07"
+    },
+    {
+      "bytes": 52426,
+      "path": "data/internal_test/pa8/oproofs-s00002-r00002488-n000004-0000-4cd2f95d28f882b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4cd2f95d28f882b40245e412fb88ee826191c7f40ea719ba934faa9db0c774b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002492-n000004.json b/manifests/batches/oproofs/s00002-r00002492-n000004.json
index eff2f9160010679ebcb5057ed9adc934bcd9af72..fdec9f2041753e254559f61be90088371a150f7a 100644
--- a/manifests/batches/oproofs/s00002-r00002492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002492-n000004",
   "batch_fingerprint": "0154f45f60c01a249771b7fa930506a45e4ed8af9bd39e8b25c96e532c03dc68",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002492-n000004-0000-9f937f67c75a8466.parquet",
-      "sha256": "9f937f67c75a846603e16541fcbe4f0d21e80bf0f0864bf15ebad9c41a47fc2e",
-      "bytes": 357993,
-      "rows": 29,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002493.lean\",\"505c081b475fa7e9aa6a40917f8a8e0e85f3ddd8278674788fc12d34f57cdaf8\",0,\"lean_workbook_plus_72920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002494.lean\",\"da4a661f887589d63276cf518f45d04d605a6489d83b0426c1ad71da9aaf2925\",0,\"lean_workbook_plus_37777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002495.lean\",\"000944e2719353ce048897a91c9939470f1de32055651dd0c9cb011e988cf75a\",0,\"lean_workbook_plus_74090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357993,
+      "path": "data/train/p34/oproofs-s00002-r00002492-n000004-0000-9f937f67c75a8466.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9f937f67c75a846603e16541fcbe4f0d21e80bf0f0864bf15ebad9c41a47fc2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002496-n000004.json b/manifests/batches/oproofs/s00002-r00002496-n000004.json
index 23698febba93c030c1b4c6ade85c543a2839ab7a..af539aed2422b0a2fe38f708610d2c66a92a363b 100644
--- a/manifests/batches/oproofs/s00002-r00002496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002496-n000004",
   "batch_fingerprint": "2dc7cad9e74b634974fbfbdac52af835931ddb35239623a9efd528b5608a2672",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2496",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2497",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2498",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2499"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002496.lean\",\"cef7c5f339631216ce39ac35f7cca06f05d397de5f7b3f72e7f70ad86c7b39bc\",0,\"lean_workbook_plus_45864\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002497.lean\",\"13a96b5ea87406245bb96c92ba96c4f707fa0b12d2773febee28f71037a73e7b\",0,\"lean_workbook_plus_58898\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002498.lean\",\"8dcaf44830e11f8ab65415784659896237b8b25dda3520d37d988b0a2f88d4b5\",0,\"complex_point_location\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002499.lean\",\"3252e759cb17596a4a0c0d3fd435f58dce0dc91070704970beaa619a8c2803e5\",0,\"lean_workbook_plus_66970\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002496-n000004-0000-e92686f2b0011af7.parquet",
-      "sha256": "e92686f2b0011af75b70b30b422d5822e9e6f44394e28206f835f7e1dbf07364",
       "bytes": 139897,
+      "path": "data/train/p37/oproofs-s00002-r00002496-n000004-0000-e92686f2b0011af7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "e92686f2b0011af75b70b30b422d5822e9e6f44394e28206f835f7e1dbf07364"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002496-n000004-0000-90fb16ee4e034c64.parquet",
-      "sha256": "90fb16ee4e034c64aa6d02ae7e414a7851207ab377649c6f1c7fb1827dc80e44",
       "bytes": 255085,
+      "path": "data/dev/p37/oproofs-s00002-r00002496-n000004-0000-90fb16ee4e034c64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "90fb16ee4e034c64aa6d02ae7e414a7851207ab377649c6f1c7fb1827dc80e44"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002496-n000004-0000-9019012411b61f5f.parquet",
-      "sha256": "9019012411b61f5f36859ec96521b9e33288474d01dbcdfd555760d3189a3fde",
       "bytes": 128421,
+      "path": "data/internal_test/p37/oproofs-s00002-r00002496-n000004-0000-9019012411b61f5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
+      "sha256": "9019012411b61f5f36859ec96521b9e33288474d01dbcdfd555760d3189a3fde"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2496",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2497",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2498",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2499"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002496.lean\",\"cef7c5f339631216ce39ac35f7cca06f05d397de5f7b3f72e7f70ad86c7b39bc\",0,\"lean_workbook_plus_45864\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002497.lean\",\"13a96b5ea87406245bb96c92ba96c4f707fa0b12d2773febee28f71037a73e7b\",0,\"lean_workbook_plus_58898\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002498.lean\",\"8dcaf44830e11f8ab65415784659896237b8b25dda3520d37d988b0a2f88d4b5\",0,\"complex_point_location\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002499.lean\",\"3252e759cb17596a4a0c0d3fd435f58dce0dc91070704970beaa619a8c2803e5\",0,\"lean_workbook_plus_66970\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002500-n000004.json b/manifests/batches/oproofs/s00002-r00002500-n000004.json
index b8156111cdd1992e6156ee645e7d0f816b68beb7..d123513afe469862c72b6656d6ea35591560eb67 100644
--- a/manifests/batches/oproofs/s00002-r00002500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002500-n000004",
   "batch_fingerprint": "b2fe5afd095ac0fa4d8b64ba1c1d10cb27fa306931f03a21eaf01f3eba49d79a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002500-n000004-0000-655726cf9ac0d6bf.parquet",
-      "sha256": "655726cf9ac0d6bffe87d4d98c590623495bcb4dbdcf3abb3068737767579597",
-      "bytes": 211381,
-      "rows": 12,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002500-n000004-0000-ab3251e9c05a17ee.parquet",
-      "sha256": "ab3251e9c05a17eeb291c597ee3ccfd36e7d79a1b0b2f7cf5f57af8a8194094d",
-      "bytes": 224317,
-      "rows": 8,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2501",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002501.lean\",\"7171779e8fecb68880406d18ec29808055c613995c18d0a76e70847656d12d73\",0,\"lean_workbook_plus_34567\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002502.lean\",\"2a15400d10a792f498da7d18a3c8f94b5105e7dab13f8561044d5cda66d22b7f\",0,\"lean_workbook_plus_66444\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002503.lean\",\"1185e44dee3efdcbbfa9a602f45538d69963a68a33dd43b43dd8700896b98e68\",0,\"lean_workbook_plus_36080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211381,
+      "path": "data/train/p21/oproofs-s00002-r00002500-n000004-0000-655726cf9ac0d6bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "655726cf9ac0d6bffe87d4d98c590623495bcb4dbdcf3abb3068737767579597"
+    },
+    {
+      "bytes": 224317,
+      "path": "data/dev/p21/oproofs-s00002-r00002500-n000004-0000-ab3251e9c05a17ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ab3251e9c05a17eeb291c597ee3ccfd36e7d79a1b0b2f7cf5f57af8a8194094d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002504-n000004.json b/manifests/batches/oproofs/s00002-r00002504-n000004.json
index 451da74c0738aded10af967f6f6c6596a52dd574..467cb58a38ddcfd67ab45f06e5103b3ea4668aea 100644
--- a/manifests/batches/oproofs/s00002-r00002504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002504-n000004",
   "batch_fingerprint": "4ce2241a4ac09199ca2609ca3fcc8ad9afe3e479d29406000fea4526952d0b6c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002504-n000004-0000-5da92d3d20daef55.parquet",
-      "sha256": "5da92d3d20daef552fc4c35be2a997a51d1edf5df33c2bf65dad0189646a7985",
-      "bytes": 767425,
-      "rows": 21,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002504-n000004-0000-9c5848157da9136c.parquet",
-      "sha256": "9c5848157da9136c7d259b33c973ac29db8379d555f8d77ff01aeefeb0b920b0",
-      "bytes": 71544,
-      "rows": 5,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002505.lean\",\"11b8945f28ea267608e9a392da3370a9f3d94776efa18e59fdcf941ca57980e0\",0,\"lean_workbook_plus_79960\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002506.lean\",\"80045d5e78466a8321b332bdb525f5f842497e379bca3242e955a8fa9617695b\",0,\"lean_workbook_plus_19201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002507.lean\",\"28c9fa4d041ee5de011dad145e6b3ff1e49934b450556b3d81253fbbe5b835bc\",0,\"lean_workbook_plus_60116\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 767425,
+      "path": "data/train/p7b/oproofs-s00002-r00002504-n000004-0000-5da92d3d20daef55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5da92d3d20daef552fc4c35be2a997a51d1edf5df33c2bf65dad0189646a7985"
+    },
+    {
+      "bytes": 71544,
+      "path": "data/dev/p7b/oproofs-s00002-r00002504-n000004-0000-9c5848157da9136c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9c5848157da9136c7d259b33c973ac29db8379d555f8d77ff01aeefeb0b920b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002508-n000004.json b/manifests/batches/oproofs/s00002-r00002508-n000004.json
index ba254991b29853e10596aca49df447dc52c1e1a6..fbdf76ad3bf578a058fa7e3b4792fc61f2110c59 100644
--- a/manifests/batches/oproofs/s00002-r00002508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002508-n000004",
   "batch_fingerprint": "d21b828f9df21be191d5d5fea7caee9ec9445807b221f46d2abb4d56561a5964",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2508",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2509",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2510",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2511"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002508.lean\",\"c0f0246e95ff55d247118204d4a3bcc741905674c9be9849d1eccafd3468e44d\",0,\"lean_workbook_plus_67713\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002509.lean\",\"b238fbe1682ad78660d0334e51751848761bee8a8b52be71dca33feaf209014c\",0,\"lean_workbook_plus_14895\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002510.lean\",\"75dffd96001f5eb74b43bf4b80e01a1c206b224213c0361e920d333ecff99ac7\",0,\"lean_workbook_plus_4091\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002511.lean\",\"8882f713fde227e43099cb900632a6c00b920d48d0289a26190268ab32a5a973\",0,\"lean_workbook_15692\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002508-n000004-0000-24b8378f3e3130d3.parquet",
-      "sha256": "24b8378f3e3130d327fab74b78e74d3471970c6f960a90e702d18c370be7e7a2",
       "bytes": 490789,
+      "path": "data/train/p47/oproofs-s00002-r00002508-n000004-0000-24b8378f3e3130d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "24b8378f3e3130d327fab74b78e74d3471970c6f960a90e702d18c370be7e7a2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002508-n000004-0001-2e60c7866ee97884.parquet",
-      "sha256": "2e60c7866ee97884a173d276530995935db3e2693241fce8384861049091971d",
       "bytes": 438957,
+      "path": "data/train/p47/oproofs-s00002-r00002508-n000004-0001-2e60c7866ee97884.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "2e60c7866ee97884a173d276530995935db3e2693241fce8384861049091971d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002508-n000004-0000-cd12eb05593df820.parquet",
-      "sha256": "cd12eb05593df8200813bf3e71bdb2c5d967492c75d3a1a68a2a0f8cb6dd313c",
       "bytes": 125267,
+      "path": "data/internal_test/p47/oproofs-s00002-r00002508-n000004-0000-cd12eb05593df820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "cd12eb05593df8200813bf3e71bdb2c5d967492c75d3a1a68a2a0f8cb6dd313c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2508",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2509",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2510",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2511"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002508.lean\",\"c0f0246e95ff55d247118204d4a3bcc741905674c9be9849d1eccafd3468e44d\",0,\"lean_workbook_plus_67713\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002509.lean\",\"b238fbe1682ad78660d0334e51751848761bee8a8b52be71dca33feaf209014c\",0,\"lean_workbook_plus_14895\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002510.lean\",\"75dffd96001f5eb74b43bf4b80e01a1c206b224213c0361e920d333ecff99ac7\",0,\"lean_workbook_plus_4091\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002511.lean\",\"8882f713fde227e43099cb900632a6c00b920d48d0289a26190268ab32a5a973\",0,\"lean_workbook_15692\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002512-n000004.json b/manifests/batches/oproofs/s00002-r00002512-n000004.json
index 3c643d90c1969582ee81bfcd0f9b0154b5b24ee5..b5140eea3008a8f006b233a85f294723ba07769a 100644
--- a/manifests/batches/oproofs/s00002-r00002512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002512-n000004",
   "batch_fingerprint": "315d0ae4c58a23577727e9abf328b9193bb3e64622b4f919f6feb67891f02f08",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002512-n000004-0000-dcb63461b23f03bf.parquet",
-      "sha256": "dcb63461b23f03bf154650a094476fafaf22e635168ca6a73c3190ac9c78a08d",
-      "bytes": 94884,
-      "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002512-n000004-0000-831d38e8b49448f2.parquet",
-      "sha256": "831d38e8b49448f23854609b79803b9bc5bc315c264277eaae6aa9081c1e685f",
-      "bytes": 54819,
-      "rows": 4,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002513.lean\",\"961e67823fa943425f64c1da525a1c7ff68486fcee7d7f1a2431b790e78bc95c\",0,\"lean_workbook_plus_62473\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002514.lean\",\"8d9b2a6498f13f9d363c77c87d778a4c580e6b51424736d14fe41b553181ccb6\",0,\"lean_workbook_plus_60731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002515.lean\",\"3483f599f610a6b6c89eb2d04dc1a3f30e5a4ff0fe0a3846cb4a3481588330cb\",0,\"lean_workbook_plus_8715\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94884,
+      "path": "data/train/pcf/oproofs-s00002-r00002512-n000004-0000-dcb63461b23f03bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dcb63461b23f03bf154650a094476fafaf22e635168ca6a73c3190ac9c78a08d"
+    },
+    {
+      "bytes": 54819,
+      "path": "data/internal_test/pcf/oproofs-s00002-r00002512-n000004-0000-831d38e8b49448f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "831d38e8b49448f23854609b79803b9bc5bc315c264277eaae6aa9081c1e685f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002516-n000004.json b/manifests/batches/oproofs/s00002-r00002516-n000004.json
index 506dc27a272aef239f22752568ad57e096fcb2e7..651f64539a17cde15925ab8162fdf1be3f6e5131 100644
--- a/manifests/batches/oproofs/s00002-r00002516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002516-n000004",
   "batch_fingerprint": "8db166ec59c2132ea23c9a64c5729810f91aea9c2d5150b0be38a4f3984a9668",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002516-n000004-0000-4181ca3b1d536a9f.parquet",
-      "sha256": "4181ca3b1d536a9fa5cbcb9c9032e51ee118da187171b78ab523c67ff4840f31",
-      "bytes": 267754,
-      "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002517.lean\",\"3a54f28e70724e3bc48f0768b105703e53f3d6e5a3767c5dcdafb001e8eba05d\",0,\"lean_workbook_plus_69657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002518.lean\",\"d01af5800a749ed8fc792700ba2f4aaa0b29deb6be6e002b02e5e96237b54358\",0,\"lean_workbook_plus_7243\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002519.lean\",\"d001ed0357004c9559780f9a46c72a24f69b3e078bd0b78a62222ba572f453b6\",0,\"lean_workbook_41700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267754,
+      "path": "data/train/peb/oproofs-s00002-r00002516-n000004-0000-4181ca3b1d536a9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4181ca3b1d536a9fa5cbcb9c9032e51ee118da187171b78ab523c67ff4840f31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002520-n000004.json b/manifests/batches/oproofs/s00002-r00002520-n000004.json
index 2564da0424aaf8585600376df40298c0af458950..91cc4ed2839c077b4d8fe479a250b9f774a07196 100644
--- a/manifests/batches/oproofs/s00002-r00002520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002520-n000004",
   "batch_fingerprint": "9e62399da7486e659b3f535146ebd2db401313a9f1d9984ac9cdf81fdf5fffbb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002520-n000004-0000-ed83ca8be00b8e90.parquet",
-      "sha256": "ed83ca8be00b8e90e68e3c5bcd4bc30f8cba387bb32e5b9145695f7b11d86741",
-      "bytes": 612683,
-      "rows": 17,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2521",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002521.lean\",\"f3b02dbc6e81b005dc1a6b9d47c302ba2ad3995685a8b62f1eaaaaafa1c9d22b\",0,\"lean_workbook_46351\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002522.lean\",\"43bf0c7a9735fde3bec369a7526d42389e08513715b7192ba9653b0cda2e454b\",0,\"lean_workbook_plus_26619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002523.lean\",\"0f12464982afebf432198a5acc7501e5841ad9e0145436ee1326f1338e187cde\",0,\"lean_workbook_plus_43844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612683,
+      "path": "data/train/p67/oproofs-s00002-r00002520-n000004-0000-ed83ca8be00b8e90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ed83ca8be00b8e90e68e3c5bcd4bc30f8cba387bb32e5b9145695f7b11d86741"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002524-n000004.json b/manifests/batches/oproofs/s00002-r00002524-n000004.json
index 5f08dbf7b0d1c0694e68d62122427955e0940b71..2c95c84b87b7c48049ee61408d1d60fbebbce3a8 100644
--- a/manifests/batches/oproofs/s00002-r00002524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002524-n000004",
   "batch_fingerprint": "aa0b1dfbbee941120eec0a882bc24ef6eb9bac41cd4361a919a93e111f85c17b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002524-n000004-0000-0f6452a24e93c883.parquet",
-      "sha256": "0f6452a24e93c8836362bb00c0550841dc7de4c6049dc71a550ddcfe9386f286",
-      "bytes": 692942,
-      "rows": 13,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002525.lean\",\"a525751d2c2025ac6d40c1ed4a4e017d513ca09d8cca1ce7257d7de4c9374e2b\",0,\"lean_workbook_plus_69639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002526.lean\",\"78140eb6fa1f31c05e067d1d4041840fdc57e7ad52e7ab4aa6a637c639b98c14\",0,\"lean_workbook_plus_25711\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002527.lean\",\"295f74a10912ddb651e49087f191e23d3f022d6b7fbadf13fa5f8d5f83e57084\",0,\"lean_workbook_plus_14711\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 692942,
+      "path": "data/train/pd9/oproofs-s00002-r00002524-n000004-0000-0f6452a24e93c883.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0f6452a24e93c8836362bb00c0550841dc7de4c6049dc71a550ddcfe9386f286"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002528-n000004.json b/manifests/batches/oproofs/s00002-r00002528-n000004.json
index a515634b4f56dc7c0141aa7d753182903f6382bc..6019d461b35c9cfa7eaea0dceb4c4261173febd5 100644
--- a/manifests/batches/oproofs/s00002-r00002528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002528-n000004",
   "batch_fingerprint": "65d29ca31cde17fe5eadc724e48d2db18949931dcb153def7805db17dc39bf94",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002528-n000004-0000-689be5b59826f04c.parquet",
-      "sha256": "689be5b59826f04c425a5f240e03abbac5bb835c0840510bc8f6f88674f1debd",
-      "bytes": 225385,
-      "rows": 19,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002529.lean\",\"a1fa288481659e43823bbe4a57b03e474387a36557c7bc300606ddcb3d9ae58f\",0,\"lean_workbook_54158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002530.lean\",\"85421fd09785758158b600898674e173134309051f0d07f532850b23c482d9ad\",0,\"lean_workbook_56775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002531.lean\",\"94a24899aec03fe3736d04e41a872c9b5f6cf46d0b33145d1d27867a24701afb\",0,\"lean_workbook_25617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225385,
+      "path": "data/train/pb6/oproofs-s00002-r00002528-n000004-0000-689be5b59826f04c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "689be5b59826f04c425a5f240e03abbac5bb835c0840510bc8f6f88674f1debd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002532-n000004.json b/manifests/batches/oproofs/s00002-r00002532-n000004.json
index 1ed275ccdc2f08da9a18409d74d3613b113f7d2d..b6ba3105304284bd7fa48117997f58a4042608e6 100644
--- a/manifests/batches/oproofs/s00002-r00002532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002532-n000004",
   "batch_fingerprint": "862a89425aa68b19bbe12fcc4f1294b0b8178f897b308a9a37960962dbbaf1f6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2532",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2533",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2534",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2535"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002532.lean\",\"770e41476c9e97868facad4750769b57cfb20a311d43f75667aea3e1d826feda\",0,\"lean_workbook_plus_22042\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002533.lean\",\"1d3fd956bae96bbd26d6ca2e3d6d4b82bd78865f3662c5f8e410bffe8c51265b\",0,\"lean_workbook_plus_79384\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002534.lean\",\"9383dc6978e2eff0e85f2b72c97c09e45b759e974e8f6eed16b086d99b6a3181\",0,\"lean_workbook_plus_22386\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002535.lean\",\"4fa4cdbf9f0069803ff70870019eea4178d58bddabe9fefd651f8a9dbc89dd6e\",0,\"lean_workbook_15010\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002532-n000004-0000-fdcfcf913c20242b.parquet",
-      "sha256": "fdcfcf913c20242b4c069fa44d4cd02bcb4672c050eac89c7d7645826939868d",
       "bytes": 490656,
+      "path": "data/train/p08/oproofs-s00002-r00002532-n000004-0000-fdcfcf913c20242b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 21,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "fdcfcf913c20242b4c069fa44d4cd02bcb4672c050eac89c7d7645826939868d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00002532-n000004-0001-e42c7fe44b6edb51.parquet",
-      "sha256": "e42c7fe44b6edb5153826aa1dd198cd19752eb20595670be9389e1496a111f65",
       "bytes": 116299,
+      "path": "data/train/p08/oproofs-s00002-r00002532-n000004-0001-e42c7fe44b6edb51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "e42c7fe44b6edb5153826aa1dd198cd19752eb20595670be9389e1496a111f65"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002532-n000004-0000-cd0da6c75741a66a.parquet",
-      "sha256": "cd0da6c75741a66a1354a6763d8695569dfb57af1ba3200c4698b35fb168fbeb",
       "bytes": 47370,
+      "path": "data/internal_test/p08/oproofs-s00002-r00002532-n000004-0000-cd0da6c75741a66a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
+      "sha256": "cd0da6c75741a66a1354a6763d8695569dfb57af1ba3200c4698b35fb168fbeb"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2532",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2533",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2534",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2535"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002532.lean\",\"770e41476c9e97868facad4750769b57cfb20a311d43f75667aea3e1d826feda\",0,\"lean_workbook_plus_22042\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002533.lean\",\"1d3fd956bae96bbd26d6ca2e3d6d4b82bd78865f3662c5f8e410bffe8c51265b\",0,\"lean_workbook_plus_79384\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002534.lean\",\"9383dc6978e2eff0e85f2b72c97c09e45b759e974e8f6eed16b086d99b6a3181\",0,\"lean_workbook_plus_22386\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002535.lean\",\"4fa4cdbf9f0069803ff70870019eea4178d58bddabe9fefd651f8a9dbc89dd6e\",0,\"lean_workbook_15010\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002536-n000004.json b/manifests/batches/oproofs/s00002-r00002536-n000004.json
index b9ff5d4193146c05e688b979bdb28f883249a349..8985b03a9ab961fe01d5f90062f141f2b280140a 100644
--- a/manifests/batches/oproofs/s00002-r00002536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002536-n000004",
   "batch_fingerprint": "64350a6e20ca2da13bd0235e40f054802accf97ade0ba47f932a83186044f522",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002536-n000004-0000-1890be347aa33b96.parquet",
-      "sha256": "1890be347aa33b9607dacf3bdb28dd472e8433225c6a6ac187860da30b651ec0",
-      "bytes": 143292,
-      "rows": 9,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2537",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002537.lean\",\"d7d613c51688c01348e3eb132c14da5d6ec27c8bbd3c2aaddcd4b3ec37a4b462\",0,\"lean_workbook_plus_21185\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002538.lean\",\"dbd19591bf62bf829b1cb1913b13ad7afa69452d661252e330ac9bf3e5b44d47\",0,\"lean_workbook_plus_29998\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002539.lean\",\"973f363c267cb158a5e0f095fc6406d0d357e693402b98533d01edf7290c1d3e\",0,\"lean_workbook_plus_57150\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143292,
+      "path": "data/train/p9e/oproofs-s00002-r00002536-n000004-0000-1890be347aa33b96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1890be347aa33b9607dacf3bdb28dd472e8433225c6a6ac187860da30b651ec0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002540-n000004.json b/manifests/batches/oproofs/s00002-r00002540-n000004.json
index 90c3310212f6f970f3f5304ec8fe29af7ac9d32a..48ced48f6e550e82a476939936a671a8613e67ac 100644
--- a/manifests/batches/oproofs/s00002-r00002540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002540-n000004",
   "batch_fingerprint": "fca1377a5fdb6b55284da7221f66e7942c6b21bf6d733523d642074519620090",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002540-n000004-0000-fddb2c43ea9b46fe.parquet",
-      "sha256": "fddb2c43ea9b46feec0e11264da5b167ec91fd5352e0599b2b610e725c507eb3",
-      "bytes": 295121,
-      "rows": 24,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002541.lean\",\"26f676eafe95e828edd2d2ef9bc6f9497d60e47fd0abdc861fc2ad1ca90f7b75\",0,\"lean_workbook_plus_45256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002542.lean\",\"d5e229752e78460373f42248d4307b3decfdb2ff1e9a5244ef98c27a06994746\",0,\"lean_workbook_plus_1494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002543.lean\",\"0c6774e5db56bee7d81e03d0068a1d00c98d970fe340968f98bdc0227434a1ee\",0,\"lean_workbook_29409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295121,
+      "path": "data/train/peb/oproofs-s00002-r00002540-n000004-0000-fddb2c43ea9b46fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fddb2c43ea9b46feec0e11264da5b167ec91fd5352e0599b2b610e725c507eb3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002544-n000004.json b/manifests/batches/oproofs/s00002-r00002544-n000004.json
index 6e3276ffb059676940d348100f1fc56867a9c763..aa38e7aea04ee5ff18955f8b670fdc66111c8c32 100644
--- a/manifests/batches/oproofs/s00002-r00002544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002544-n000004",
   "batch_fingerprint": "e7ff3dad384905c9d52f1b917cec63e95718cd21450eed62608dc97e8d68e253",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002544-n000004-0000-f3adc97b9fd1c927.parquet",
-      "sha256": "f3adc97b9fd1c9271804e9d1c541801abdf98a04865df2ba4f0dc4a87a492011",
-      "bytes": 772521,
-      "rows": 28,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002545.lean\",\"417fac4808152ee4d322a68104b83d3584294d3027031c26a3af6e6146285f6d\",0,\"lean_workbook_plus_45150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002546.lean\",\"83cdc6ed73d15e59cb0c87c336abedeb8a245fa1e7f447dc7ab0859a52e75f3d\",0,\"lean_workbook_32006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002547.lean\",\"f9ff476d2a6f6b540ed0905b03afa965c71690b32f7abc19da933848a0d503f2\",0,\"lean_workbook_plus_29083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 772521,
+      "path": "data/train/p8a/oproofs-s00002-r00002544-n000004-0000-f3adc97b9fd1c927.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f3adc97b9fd1c9271804e9d1c541801abdf98a04865df2ba4f0dc4a87a492011"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002548-n000004.json b/manifests/batches/oproofs/s00002-r00002548-n000004.json
index 77b424ea6e1f6edf4d3c65aba0f191e393ca1ae9..8e8e494aff8bff9b8febf20bf0fbea02923b9f34 100644
--- a/manifests/batches/oproofs/s00002-r00002548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002548-n000004",
   "batch_fingerprint": "0cb5dad3fb15c9c6c6037cac8ad2c0f74406864e0b1d81f3b752faafc7bd6553",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002548-n000004-0000-09d6396a24a6e8b7.parquet",
-      "sha256": "09d6396a24a6e8b71fa31a15a947c38ee22a72d6161958d3c7eb40b33e0ff0b4",
-      "bytes": 299703,
-      "rows": 17,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002549.lean\",\"0106cd89870372c70836c3ab0ab9ae9265b6dc355899641daa583e62264152bf\",0,\"lean_workbook_plus_48898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002550.lean\",\"9d973a476427cde840fd22b56ebd28b42d9c6d6a43e94506edeeac42d3ad8de2\",0,\"lean_workbook_plus_56837\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002551.lean\",\"06a209617cb408250bb0f56d7eeaeb8f9d5fee5ab4d5e0491373a47cc5110b7a\",0,\"lean_workbook_plus_12890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299703,
+      "path": "data/train/p2e/oproofs-s00002-r00002548-n000004-0000-09d6396a24a6e8b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "09d6396a24a6e8b71fa31a15a947c38ee22a72d6161958d3c7eb40b33e0ff0b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002552-n000004.json b/manifests/batches/oproofs/s00002-r00002552-n000004.json
index d3b235391bd876e88506f9835a45a0e81f8230e5..cafc51a0e4d2d78f66fd566986140e293a6361b4 100644
--- a/manifests/batches/oproofs/s00002-r00002552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002552-n000004",
   "batch_fingerprint": "d106d0d31d76a544a73bdb22f2ee01f1edb0b773167543cbfb3080656dd08b26",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002552-n000004-0000-b8080cd349dd1481.parquet",
-      "sha256": "b8080cd349dd1481378b36cabdaaae9aab538a13ec86a95ca5c0a870f68fdc25",
-      "bytes": 182352,
-      "rows": 11,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002552-n000004-0000-dadcb2fb15143421.parquet",
-      "sha256": "dadcb2fb15143421f7703435dd93135f8f8bd0160b5c1df5d806daff98fa499d",
-      "bytes": 69489,
-      "rows": 4,
-      "revision": "345d9b726e1da4cf7bfd4a3390e304af3be509e3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002553.lean\",\"19e137b0f900e078c9942552a8a67c6047da8c66d2707bd17a45884d0de78b59\",0,\"lean_workbook_30384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002554.lean\",\"d5d53c8495545850163f880c59ee38df2e4b18bdb4b95e2e28e74243f9398756\",0,\"lean_workbook_plus_78756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002555.lean\",\"5d986d01bb15c0396958860a77b0a6402165697e854222ff9fee65d886bbbb49\",0,\"lean_workbook_18904\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182352,
+      "path": "data/train/p3f/oproofs-s00002-r00002552-n000004-0000-b8080cd349dd1481.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b8080cd349dd1481378b36cabdaaae9aab538a13ec86a95ca5c0a870f68fdc25"
+    },
+    {
+      "bytes": 69489,
+      "path": "data/dev/p3f/oproofs-s00002-r00002552-n000004-0000-dadcb2fb15143421.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "dadcb2fb15143421f7703435dd93135f8f8bd0160b5c1df5d806daff98fa499d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002556-n000004.json b/manifests/batches/oproofs/s00002-r00002556-n000004.json
index 86c2c121f39c7d380fb13bfc69458a3e5118af85..f3304764068598919c298b2bc0633d3259964b1e 100644
--- a/manifests/batches/oproofs/s00002-r00002556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002556-n000004",
   "batch_fingerprint": "190390fbdd2ede83547161659cc325f169c24b269205094a321474aba4011d37",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002556-n000004-0000-c2c585294f951aea.parquet",
-      "sha256": "c2c585294f951aea3664bd4fec1f5edfc4734e4d4e13a45d5226d5b181478a83",
-      "bytes": 276942,
-      "rows": 19,
-      "revision": "6830dec5acfbb9b3eac6303800ea6bd328d66f14"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002557.lean\",\"bf72ac71f47274ef91c036ba8973da33da0e1af9c55fdca1a62ea85435b50e95\",0,\"lean_workbook_plus_29618\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002558.lean\",\"3f70dff5e9e9c8e805cfe56ad4fa2fec3b8fa91e09ffe4b2dea4c3a831974955\",0,\"lean_workbook_plus_63591\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002559.lean\",\"1702649370664a05bbb370b9b0553f2391940bb6fc7db4e0955e86683cc8c7dd\",0,\"lean_workbook_plus_45524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276942,
+      "path": "data/train/pdf/oproofs-s00002-r00002556-n000004-0000-c2c585294f951aea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c2c585294f951aea3664bd4fec1f5edfc4734e4d4e13a45d5226d5b181478a83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002560-n000004.json b/manifests/batches/oproofs/s00002-r00002560-n000004.json
index c355fb3c1f213a3845da892e696669f4b1db01ad..bfe82b50a1d33cac3edd843696bcf42ea5611e2b 100644
--- a/manifests/batches/oproofs/s00002-r00002560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002560-n000004",
   "batch_fingerprint": "d02c6914f1306a3708c2270bdc516d27ca62e258cf27254eada4902e9d581d0e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002560-n000004-0000-9906b0a5eb6aafe3.parquet",
-      "sha256": "9906b0a5eb6aafe3534b13ff0e73a857d7779f5ca2176d9837fbb576975c567d",
-      "bytes": 441493,
-      "rows": 21,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2561",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002561.lean\",\"a79da314a07cacb10198e5f726cc78788e4d71cc3ac07b9b1040194897ad3711\",0,\"lean_workbook_22702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002562.lean\",\"034e1cea7f6ee811b160a5b4a78b2a6bf9035df6237b484051fb1456c6cdf773\",0,\"empty_set_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002563.lean\",\"94aeb1526fb701138db13c1624083de4b5ce8b4498a88dd8e9bdd2f505fb7c17\",0,\"lean_workbook_plus_31404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441493,
+      "path": "data/train/p60/oproofs-s00002-r00002560-n000004-0000-9906b0a5eb6aafe3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9906b0a5eb6aafe3534b13ff0e73a857d7779f5ca2176d9837fbb576975c567d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002564-n000004.json b/manifests/batches/oproofs/s00002-r00002564-n000004.json
index 00458c50c3823b13b2844db7e7ef4c0b2ae0f7ee..0f444aa6cb2f51ff2f02b7938cd2743904d49e9d 100644
--- a/manifests/batches/oproofs/s00002-r00002564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002564-n000004",
   "batch_fingerprint": "c06e7611df997f25613da52d57419bf8ce5ae28be1ace4af493ba8748021c079",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002564-n000004-0000-8601a6440917d4f6.parquet",
-      "sha256": "8601a6440917d4f677af8a52166408d1df1863855dc542efb55f132257b74764",
-      "bytes": 584651,
-      "rows": 18,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2565",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002565.lean\",\"9a0c6976b382610c176fe4859be62b620a6324408391ae8d6f5f9ef357c542df\",0,\"lean_workbook_41452\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002566.lean\",\"df54c9a82b12d5b70b8ff61bd2d3c9e0cfb92e94096ce556f7abaa7087d24e05\",0,\"lean_workbook_plus_26552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002567.lean\",\"aff9aee3ab54d6a9e1b6bd46fad586f88366e0641a3fb99ad06e37716f52ca85\",0,\"lean_workbook_plus_43841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 584651,
+      "path": "data/train/p31/oproofs-s00002-r00002564-n000004-0000-8601a6440917d4f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8601a6440917d4f677af8a52166408d1df1863855dc542efb55f132257b74764"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002568-n000004.json b/manifests/batches/oproofs/s00002-r00002568-n000004.json
index ea604e80992a5a9b6204dab5ab991dd29e7185d7..b9b336372d0f0788b7515732c898c1f70e5e5f58 100644
--- a/manifests/batches/oproofs/s00002-r00002568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002568-n000004",
   "batch_fingerprint": "4db32c6a4e03170fc506a8e6801561507d78e779bfba8d0a3dc6f9004c18cd93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002568-n000004-0000-1315fa8ee0275417.parquet",
-      "sha256": "1315fa8ee0275417919008fed86fcf7009bad813b8af4a32f9c91bd558073aca",
-      "bytes": 501476,
-      "rows": 26,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002569.lean\",\"84b4de28e6161f14131eff3b02df08d94aec2078a6fb987362d0ac6b53925080\",0,\"lean_workbook_plus_45822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002570.lean\",\"f533a1ddb30b0bf11c52d3930d7d969d49f7f535c2e67c59c3476139818c23df\",0,\"lean_workbook_plus_58715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002571.lean\",\"7bf8e4132c162dbb62f7551a4298120d5a575e5a74cab6c41dd6a2a1f4bc71e5\",0,\"lean_workbook_plus_80292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 501476,
+      "path": "data/train/p0d/oproofs-s00002-r00002568-n000004-0000-1315fa8ee0275417.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1315fa8ee0275417919008fed86fcf7009bad813b8af4a32f9c91bd558073aca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002572-n000004.json b/manifests/batches/oproofs/s00002-r00002572-n000004.json
index 435af2a7197eca7e5cc3c2925ac63525341a89c8..70ae195ad736a70ee3bfad71e7604bd51cb7ce80 100644
--- a/manifests/batches/oproofs/s00002-r00002572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002572-n000004",
   "batch_fingerprint": "931f6291f15906d0ed0f054b20fd6a63e6c8c8b3875d2a582aa96569acde71ec",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002572-n000004-0000-26e5ba5f6383bc9b.parquet",
-      "sha256": "26e5ba5f6383bc9b6910c655f70959513a87a14953e7d07b9c949edbb35d218d",
-      "bytes": 167156,
-      "rows": 7,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002572-n000004-0000-33a9d8903037de2c.parquet",
-      "sha256": "33a9d8903037de2cc7ccac12d18e33ebd5ad85f68848e7db8116397a0de287ce",
-      "bytes": 62291,
-      "rows": 7,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2573",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002573.lean\",\"d58f5e4ded3f525479931a425e30ad626cb68513780a9fde8cb1ccd9b07c2def\",0,\"lean_workbook_51154\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002574.lean\",\"7cde9742923dd5f9d70bd0ddd3dde24c43a33b7213ec3d62a2e17280f1ef7992\",0,\"lean_workbook_40332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002575.lean\",\"6099359adcf4b4aa81f6ec434423e7631a44597da5716be8a2df2ed4df366698\",0,\"lean_workbook_plus_68127\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167156,
+      "path": "data/train/p25/oproofs-s00002-r00002572-n000004-0000-26e5ba5f6383bc9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "26e5ba5f6383bc9b6910c655f70959513a87a14953e7d07b9c949edbb35d218d"
+    },
+    {
+      "bytes": 62291,
+      "path": "data/internal_test/p25/oproofs-s00002-r00002572-n000004-0000-33a9d8903037de2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "33a9d8903037de2cc7ccac12d18e33ebd5ad85f68848e7db8116397a0de287ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002576-n000004.json b/manifests/batches/oproofs/s00002-r00002576-n000004.json
index 677697dd0f3f0aa7f897d42a040ca1ae497884ec..431863fa591a70d4b7be674b21002278f9292775 100644
--- a/manifests/batches/oproofs/s00002-r00002576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002576-n000004",
   "batch_fingerprint": "3449209bd33bf8e010ee9ce9c8b05aeca6eefec71220f71f6f61d40e5e30ae87",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002576-n000004-0000-4ce42eeaac8fac51.parquet",
-      "sha256": "4ce42eeaac8fac51ea3864526ed7d9f22d3673f9c83113ac053034c3c4667d76",
-      "bytes": 543883,
-      "rows": 20,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002577.lean\",\"189cdc4ba7f91581dc6a644e7403ce3b1ae68bbdac414f7fd05b1497aea67f52\",0,\"lean_workbook_29526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002578.lean\",\"b4d92aee1759914d501b6e988cb7b9bc6fab325cbd019c50f28ed07cefe192d3\",0,\"lean_workbook_1777\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002579.lean\",\"99f555d438645bdf3643dee2c8b0f3c00a733a157fa19c8e660e2c43ca6493e5\",0,\"lean_workbook_plus_36229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543883,
+      "path": "data/train/pc3/oproofs-s00002-r00002576-n000004-0000-4ce42eeaac8fac51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4ce42eeaac8fac51ea3864526ed7d9f22d3673f9c83113ac053034c3c4667d76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002580-n000004.json b/manifests/batches/oproofs/s00002-r00002580-n000004.json
index c67f443cd96bb8d84505e5d39a853877eebd4353..8b7eac441ec21769034b01b95bc8a0a553908592 100644
--- a/manifests/batches/oproofs/s00002-r00002580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002580-n000004",
   "batch_fingerprint": "d6ac2a6e38f667ed07e1b730a382cffbe458f3c9d28ef21717f20a21400512e7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002580-n000004-0000-609f3bbc1ece69cb.parquet",
-      "sha256": "609f3bbc1ece69cb784a5255c96fe86683b88f133df18c8a2b881be7c4a34941",
-      "bytes": 151943,
-      "rows": 8,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002580-n000004-0000-b04a05437b029f03.parquet",
-      "sha256": "b04a05437b029f03d6ecfa86e3b3e62c574186015ea0a9f422c6a24f28a8f477",
-      "bytes": 32166,
-      "rows": 2,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002581.lean\",\"cdc19677e037ed38f65a44f9a9d55295386aac868ed2e18a0c18b51ad9ce7cbb\",0,\"lean_workbook_plus_36431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002582.lean\",\"ee1604b1fbb2adbafaaccb1fc2c201e2cd51bb3510752c0fdd17eea61f9a3c60\",0,\"lean_workbook_plus_59692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002583.lean\",\"f41c377558779d8a31fbc8d96c246022a0160b7bdeb4b154694b9e21870359c9\",0,\"lean_workbook_plus_62858\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151943,
+      "path": "data/train/p8a/oproofs-s00002-r00002580-n000004-0000-609f3bbc1ece69cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "609f3bbc1ece69cb784a5255c96fe86683b88f133df18c8a2b881be7c4a34941"
+    },
+    {
+      "bytes": 32166,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00002580-n000004-0000-b04a05437b029f03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b04a05437b029f03d6ecfa86e3b3e62c574186015ea0a9f422c6a24f28a8f477"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002584-n000004.json b/manifests/batches/oproofs/s00002-r00002584-n000004.json
index 811b047cc3721ed4d256f788ec4099e04d9f784e..78205b69f10818ac2bcfb7a0e0c53ce6b9f08b59 100644
--- a/manifests/batches/oproofs/s00002-r00002584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002584-n000004",
   "batch_fingerprint": "36b78ada7fcf5206bbc74497cbf63dc2bfc8769ec96a8edf8f6eeb4a12ab3a2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002584-n000004-0000-3d8419bb98f1958e.parquet",
-      "sha256": "3d8419bb98f1958e465dc18cb807735545232f6c348d56053bb5609af61f15ff",
-      "bytes": 115724,
-      "rows": 7,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002584-n000004-0000-1f0d6c03732f57e6.parquet",
-      "sha256": "1f0d6c03732f57e63e1140ca6a429d9e03f0ba07ada59e6c230ee9be4db9c586",
-      "bytes": 166798,
-      "rows": 4,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2585",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002585.lean\",\"bd7f347e396765e4b61d2026ba12e3aa2cb1032cfc0d3a0ebf2dbc729b92c791\",0,\"lean_workbook_plus_20864\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002586.lean\",\"f0e302f079a3cc8ccf97eabd1f4f203772d4c367870e39134309861fc7909781\",0,\"lean_workbook_plus_44117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002587.lean\",\"a04d62a0b4804441b5c0f73b5d5fead09f5d17a9bf3181caca2730705c335c60\",0,\"lean_workbook_plus_11891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115724,
+      "path": "data/train/p69/oproofs-s00002-r00002584-n000004-0000-3d8419bb98f1958e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3d8419bb98f1958e465dc18cb807735545232f6c348d56053bb5609af61f15ff"
+    },
+    {
+      "bytes": 166798,
+      "path": "data/dev/p69/oproofs-s00002-r00002584-n000004-0000-1f0d6c03732f57e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1f0d6c03732f57e63e1140ca6a429d9e03f0ba07ada59e6c230ee9be4db9c586"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002588-n000004.json b/manifests/batches/oproofs/s00002-r00002588-n000004.json
index ed09e61cf547a3ded4ab29839f59f0084766d492..3a2dc103518b9ee20e161091197de9e05b4e0a8f 100644
--- a/manifests/batches/oproofs/s00002-r00002588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002588-n000004",
   "batch_fingerprint": "d37bc5f119bdcb9e82e4d8bd897e77e29411cf5cbef49cabc39787b3d145221e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002588-n000004-0000-dc3f5e266f5b5e96.parquet",
-      "sha256": "dc3f5e266f5b5e96ded7685ea94b37c6005603c998569daa2a5746ac63fa36b5",
-      "bytes": 232074,
-      "rows": 9,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002588-n000004-0000-16923a7726a6af33.parquet",
-      "sha256": "16923a7726a6af3354e2199f425d1a34cd1050d778afa010fd598af6f5d596ed",
-      "bytes": 36190,
-      "rows": 2,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002589.lean\",\"b879c8b9ff7a9560d421c479d1913994ca425b12e5530cf7121e4c5107099c9d\",0,\"lean_workbook_plus_61617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002590.lean\",\"4f8dcafdbb85dda81a8fce9d3a76443829d8cb782d4720679b051484fd473ddb\",0,\"lean_workbook_32196\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002591.lean\",\"3a8bf9a5349e9e569c72534803971b4e4bfba91a4be5771d8651c0e1bcb21587\",0,\"lean_workbook_plus_12482\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232074,
+      "path": "data/train/p66/oproofs-s00002-r00002588-n000004-0000-dc3f5e266f5b5e96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dc3f5e266f5b5e96ded7685ea94b37c6005603c998569daa2a5746ac63fa36b5"
+    },
+    {
+      "bytes": 36190,
+      "path": "data/internal_test/p66/oproofs-s00002-r00002588-n000004-0000-16923a7726a6af33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "16923a7726a6af3354e2199f425d1a34cd1050d778afa010fd598af6f5d596ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002592-n000004.json b/manifests/batches/oproofs/s00002-r00002592-n000004.json
index aebc266d6ec36c1a6398f79572e4fa8d06027e7c..02d57412b873b9db339e74a08cbaac6bfcadac01 100644
--- a/manifests/batches/oproofs/s00002-r00002592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002592-n000004",
   "batch_fingerprint": "30345ac3c3ec7774fa947df066ba32556e6364122b76a980610e8d1fa1c52c53",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002592-n000004-0000-f73092cc92365bcd.parquet",
-      "sha256": "f73092cc92365bcd06591e6072533975ffbf180547ba9c6d688f37d9a28738c9",
-      "bytes": 504906,
-      "rows": 30,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002593.lean\",\"cd0a5c991cab155b12fd6a2ef8a7194852437779320f0dc8c1f99142297d32ea\",0,\"lean_workbook_plus_73681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002594.lean\",\"35e2aa21d0e86938c19b325ec462f1031608c42d1e585ae2c1717ede5a10bfb0\",0,\"lean_workbook_37910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002595.lean\",\"5d0a3fad5a4759dba701c2c252a462c5ee1675cfdd892a8e9ed8914eff4b7e4b\",0,\"lean_workbook_plus_71476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 504906,
+      "path": "data/train/pac/oproofs-s00002-r00002592-n000004-0000-f73092cc92365bcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "f73092cc92365bcd06591e6072533975ffbf180547ba9c6d688f37d9a28738c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002596-n000004.json b/manifests/batches/oproofs/s00002-r00002596-n000004.json
index 0fca1425864b2e7acb00c25a0874a60fdb4d62d3..96eecd1449ce7c398027815601225a571065bd9f 100644
--- a/manifests/batches/oproofs/s00002-r00002596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002596-n000004",
   "batch_fingerprint": "b8d2876fa78d3fb602fe20680a08701bcbec3ee978099275abe63ccfb46f31b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002596-n000004-0000-071148dda537ce0a.parquet",
-      "sha256": "071148dda537ce0a245af296c8472be458470ae8413831ac9e3187a13a665cc4",
-      "bytes": 358143,
-      "rows": 18,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002597.lean\",\"f3341e370c25fbca944c16f953fe6637c3a3d0616d89928f417df08452cecf97\",0,\"lean_workbook_plus_14205\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002598.lean\",\"23389b33e80a95be1af217872870e7cdb227f5617196b0afcd167b3e68d03393\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002599.lean\",\"83a03df7f61212dd4a22f5dd81063f641084bcc4d4692bff15a326eb37edf40b\",0,\"lean_workbook_plus_25642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358143,
+      "path": "data/train/pf9/oproofs-s00002-r00002596-n000004-0000-071148dda537ce0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "071148dda537ce0a245af296c8472be458470ae8413831ac9e3187a13a665cc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002600-n000004.json b/manifests/batches/oproofs/s00002-r00002600-n000004.json
index 8a5e7a7a781564f2935d18530ce0d6a352436635..0a85f70f6fe6b2e252871860935c5332f34477d2 100644
--- a/manifests/batches/oproofs/s00002-r00002600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002600-n000004",
   "batch_fingerprint": "bd4cb805d160e8617a1c3d3e9e6dbdefa10004b1966776fd89ee534a27184ed3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002600-n000004-0000-26ab28d052d6b88e.parquet",
-      "sha256": "26ab28d052d6b88ee03a7e9b5ae5e8e309205928e615c8dfc2953b78c64b1f6c",
-      "bytes": 436678,
-      "rows": 34,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002601.lean\",\"77aeb0079b182e5a0dd15dad8233529542ccb5d9ab000767e3d1506c96660d30\",0,\"lean_workbook_plus_78532\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002602.lean\",\"fc31429a7e7a90188521f06bb5f356c08661db6536b334229c8ef02202c65592\",0,\"lean_workbook_24201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002603.lean\",\"ecd3cdf0f141f5bd6b43239ba4aecaed9db1b7a4da82caa1721d6dc21a0428e6\",0,\"lean_workbook_plus_50596\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436678,
+      "path": "data/train/pc5/oproofs-s00002-r00002600-n000004-0000-26ab28d052d6b88e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "26ab28d052d6b88ee03a7e9b5ae5e8e309205928e615c8dfc2953b78c64b1f6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002604-n000004.json b/manifests/batches/oproofs/s00002-r00002604-n000004.json
index b1074925431580a95ab635fed25981ee81af4375..9f69c21b544102bc964ae4ce663ccc180b5ff7d2 100644
--- a/manifests/batches/oproofs/s00002-r00002604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002604-n000004",
   "batch_fingerprint": "b416e033d40f6596498b490b1ecf9e481e5428e48faa1c62a9119bf7e5bdd68b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002604-n000004-0000-a6b11a03bc444b7d.parquet",
-      "sha256": "a6b11a03bc444b7dfdf0e361079e06f0975493af08f3b082ed4cdf1b0ac67533",
-      "bytes": 201586,
-      "rows": 16,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002605.lean\",\"127e7f3075dd9d2975380db26ee0c4ed5eae3778fc9584ccf6d1152f494a7afd\",0,\"lean_workbook_plus_79224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002606.lean\",\"6f913533b63b27f37813e0647f7be3540a635c3a80d2fdbe087eddd18a07e7f9\",0,\"lean_workbook_plus_46676\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002607.lean\",\"cf8ee5bc16e5e42a5657950250676dffa4bc91482d2ec9209c8d8c99b22e07ca\",0,\"lean_workbook_plus_41980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201586,
+      "path": "data/train/pe8/oproofs-s00002-r00002604-n000004-0000-a6b11a03bc444b7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a6b11a03bc444b7dfdf0e361079e06f0975493af08f3b082ed4cdf1b0ac67533"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002608-n000004.json b/manifests/batches/oproofs/s00002-r00002608-n000004.json
index 2fcdf13b7567528e4f3a500af9dd595e5ed77d36..f8b07a64aebba2f0fea4d0571bceff1ecc5ca6c6 100644
--- a/manifests/batches/oproofs/s00002-r00002608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002608-n000004",
   "batch_fingerprint": "8c5f92419094d75e91fd49f260787bada0c94aa4312f9b1cae8e579f5cb2cd69",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002608-n000004-0000-d29c6407f3c4185d.parquet",
-      "sha256": "d29c6407f3c4185dbf526dc1f29155b0cee1369329f6e1634b33c37931ec7792",
-      "bytes": 80619,
-      "rows": 14,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002608-n000004-0000-881643c270d83251.parquet",
-      "sha256": "881643c270d832512c54e598744e446aa149dbb5ad5e4bef7d9efc8d15a40e6c",
-      "bytes": 47284,
-      "rows": 2,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002609.lean\",\"820bc396ecd77f695161acc6dab88d7fa8b029619c5b90fc70f66028dcbfa2be\",0,\"lean_workbook_plus_37759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002610.lean\",\"038bcbe8d2498d49aad0db3a99526c07646ba9727245588a29d1b818daff55a8\",0,\"lean_workbook_20004\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002611.lean\",\"48554ff9cfab1c7f5e8278f1d3374b1dfe9270a607a65a3806ede4b2e0ab6b29\",0,\"lean_workbook_plus_23317\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80619,
+      "path": "data/train/p1e/oproofs-s00002-r00002608-n000004-0000-d29c6407f3c4185d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d29c6407f3c4185dbf526dc1f29155b0cee1369329f6e1634b33c37931ec7792"
+    },
+    {
+      "bytes": 47284,
+      "path": "data/internal_test/p1e/oproofs-s00002-r00002608-n000004-0000-881643c270d83251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "881643c270d832512c54e598744e446aa149dbb5ad5e4bef7d9efc8d15a40e6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002612-n000004.json b/manifests/batches/oproofs/s00002-r00002612-n000004.json
index 6f0744730175505d938e0d6b5da1b5c45ac381cb..4305367ddc0734723c0a1ab15f82816c1893a5ac 100644
--- a/manifests/batches/oproofs/s00002-r00002612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002612-n000004",
   "batch_fingerprint": "bb2e27a67d7e2d333a2ce1556cdf0e28b2bc7597bd8002f599371394c9ae2d93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002612-n000004-0000-92c399a3dce124b7.parquet",
-      "sha256": "92c399a3dce124b737fc45945f7c41accccb23ede0ecfec0d6ae5855989b69b0",
-      "bytes": 294613,
-      "rows": 21,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002613.lean\",\"2f59aa289a179aade8e5b3df54660eeb9263fc38a2c3e442a55aa96db12559f0\",0,\"lean_workbook_plus_45256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002614.lean\",\"8b09625dc807877f325d70169afe10ecec9607c2ee88381078ae3bdccd5322ee\",0,\"lean_workbook_plus_32855\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002615.lean\",\"03e722033deed86fdb3a0f2e9e503714d5af2d8a9a6122529a21c628586e211e\",0,\"lean_workbook_plus_29083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294613,
+      "path": "data/train/pe7/oproofs-s00002-r00002612-n000004-0000-92c399a3dce124b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "92c399a3dce124b737fc45945f7c41accccb23ede0ecfec0d6ae5855989b69b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002616-n000004.json b/manifests/batches/oproofs/s00002-r00002616-n000004.json
index 5756699102784441aab8f4a0290d1cc14420431a..ee465e3765a065a61714520c006572baf95a8631 100644
--- a/manifests/batches/oproofs/s00002-r00002616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002616-n000004",
   "batch_fingerprint": "2a0232fc1791991d579042959de14976ac7ae2aefa00113c4bbd71677959cb99",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002616-n000004-0000-c8a09c6312813db5.parquet",
-      "sha256": "c8a09c6312813db5d4fd1bafef304faaefb68ee7b31bf31c2dd98f52ae958bfb",
-      "bytes": 532745,
-      "rows": 24,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002617.lean\",\"f20685bc6581e3285d904a8e321d1febdb8b2bd76ab7732ec4c18d151129951f\",0,\"lean_workbook_plus_33661\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002618.lean\",\"8c4eb2768dfc8fcf7839a3a6a64a431ee148282012478f8e7211556181703937\",0,\"lean_workbook_32006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002619.lean\",\"eead777b11fd5813062cf5a6909bf5dd72655833ca68e1c82d8d1c5c86c84ada\",0,\"lean_workbook_plus_48898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 532745,
+      "path": "data/train/p1a/oproofs-s00002-r00002616-n000004-0000-c8a09c6312813db5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c8a09c6312813db5d4fd1bafef304faaefb68ee7b31bf31c2dd98f52ae958bfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002620-n000004.json b/manifests/batches/oproofs/s00002-r00002620-n000004.json
index cebf6a13ab6f02c386e0d788fc27ee1335bac991..70deb30d5458ef6c8274d50ba24bb6a9268ea1e8 100644
--- a/manifests/batches/oproofs/s00002-r00002620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002620-n000004",
   "batch_fingerprint": "0b283d34fc064ebcce028301e442b58e3644213fc4543ed83127e2608776bef2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002620-n000004-0000-9de6d1e77867fbf1.parquet",
-      "sha256": "9de6d1e77867fbf1955e2b1946e96593e445dded12896c2b4671397937c563bd",
-      "bytes": 209311,
-      "rows": 18,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002620-n000004-0000-b6756a9629690eb7.parquet",
-      "sha256": "b6756a9629690eb7effdcf6f6455d38e4601191bd8e4ab33b1ad41d730d08436",
-      "bytes": 56797,
-      "rows": 4,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2621",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002621.lean\",\"b25caa837b0c6697c2ebc8edfd9767acbc690475c91d1191f75768908db5fab9\",0,\"lean_workbook_18904\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002622.lean\",\"d6705b9564c66f885b04a76788db950c001fd2e2d0e49901956b79532ecabfc9\",0,\"lean_workbook_plus_78756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002623.lean\",\"25c714d223a879813b66ca0dab4d47d0404a4a7fb7741e8545dcba1f43e0186e\",0,\"lean_workbook_52578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209311,
+      "path": "data/train/pe7/oproofs-s00002-r00002620-n000004-0000-9de6d1e77867fbf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9de6d1e77867fbf1955e2b1946e96593e445dded12896c2b4671397937c563bd"
+    },
+    {
+      "bytes": 56797,
+      "path": "data/dev/pe7/oproofs-s00002-r00002620-n000004-0000-b6756a9629690eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b6756a9629690eb7effdcf6f6455d38e4601191bd8e4ab33b1ad41d730d08436"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002624-n000004.json b/manifests/batches/oproofs/s00002-r00002624-n000004.json
index ce2a338d44477b62a0fd3e6dd45e800dd8284172..86f9ba41a6a4a2368889ebc3e87b3193f26de62a 100644
--- a/manifests/batches/oproofs/s00002-r00002624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002624-n000004",
   "batch_fingerprint": "3fd9aa4c25e4caa7ffaa8ed0a977e83519e402e718fd4063ed96851987056211",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002624-n000004-0000-932429436d9a9718.parquet",
-      "sha256": "932429436d9a97183e550d74296dd8730aae18dfe0a70e5885a829c76011eb58",
-      "bytes": 378655,
-      "rows": 20,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2625",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002625.lean\",\"7cc13fe129cde989a258bcdd1f5a6ac95b19862d58d85380f45a09467b656abb\",0,\"lean_workbook_plus_12890\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002626.lean\",\"4aa30837255767292f79528a517044bb8c67e14830096af1bf986b6fb7e30e57\",0,\"lean_workbook_plus_45524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002627.lean\",\"d0daa29b809d5670889f1f03a0babb4779df7140db6a299b899858313561d064\",0,\"lean_workbook_30384\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378655,
+      "path": "data/train/pd2/oproofs-s00002-r00002624-n000004-0000-932429436d9a9718.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "932429436d9a97183e550d74296dd8730aae18dfe0a70e5885a829c76011eb58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002628-n000004.json b/manifests/batches/oproofs/s00002-r00002628-n000004.json
index e3ddb5b4e6d501ad567f78f013d898ee5a2b4407..770ce8a5e21f970ca0ed3596f831912805abf5ea 100644
--- a/manifests/batches/oproofs/s00002-r00002628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002628-n000004",
   "batch_fingerprint": "10ae5a53f0d1ce984afda2996f896f7a6431de7284b5bf051eea2d12b528843a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002628-n000004-0000-aa8f96bb74fe436c.parquet",
-      "sha256": "aa8f96bb74fe436cc3e6358d02dbf0c29405f0caa58ff211fe72d71748f53b31",
-      "bytes": 319840,
-      "rows": 17,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002629.lean\",\"f59690ed5b8be922b1109538619e51b5ec8269d77882c46f71bbe34b665e2ed3\",0,\"lean_workbook_plus_29618\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002630.lean\",\"ecf2370c0887069a551eda0903980ff5dc228bc320d7247397acf8989a1e68eb\",0,\"lean_workbook_plus_63591\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002631.lean\",\"effb0c8472db310606fd07c48998e3844850267cfe22e7e5526becc6cec13fb3\",0,\"lean_workbook_14284\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319840,
+      "path": "data/train/p9d/oproofs-s00002-r00002628-n000004-0000-aa8f96bb74fe436c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "aa8f96bb74fe436cc3e6358d02dbf0c29405f0caa58ff211fe72d71748f53b31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002632-n000004.json b/manifests/batches/oproofs/s00002-r00002632-n000004.json
index 891d3bda5f1022072043a28fd96945865c5213ce..5bd1593ed3b24eaf7f3173be352df64f798c7dc1 100644
--- a/manifests/batches/oproofs/s00002-r00002632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002632-n000004",
   "batch_fingerprint": "4217bbe8af6cd706c645190be938086f94cf42e595132b7441ddac1a45474edd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002632-n000004-0000-883cf40575f7e517.parquet",
-      "sha256": "883cf40575f7e517d7b7297c0f5841f949366b79c323e98118cf451fddce27b9",
-      "bytes": 157213,
-      "rows": 16,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002632-n000004-0000-fda64daa1866cf08.parquet",
-      "sha256": "fda64daa1866cf080347ae260eb3e5eb1e55a3135a0b976ac01116472f200ff9",
-      "bytes": 108636,
-      "rows": 6,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002633.lean\",\"2c2e4da16e4fe435f1703caf31f76691e3f488725919c61cf5e0c46cc6838cb3\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002634.lean\",\"68e2c4a4a0ad56cb579695af15788a6071661dc1b5753fc3891fca2ffaf8a48b\",0,\"lean_workbook_plus_61622\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002635.lean\",\"974aa21301ec1cb5d16c732bf9fed6182e916bf892a4df22c30907ce900c5882\",0,\"lean_workbook_plus_31404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157213,
+      "path": "data/train/pec/oproofs-s00002-r00002632-n000004-0000-883cf40575f7e517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "883cf40575f7e517d7b7297c0f5841f949366b79c323e98118cf451fddce27b9"
+    },
+    {
+      "bytes": 108636,
+      "path": "data/dev/pec/oproofs-s00002-r00002632-n000004-0000-fda64daa1866cf08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fda64daa1866cf080347ae260eb3e5eb1e55a3135a0b976ac01116472f200ff9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002636-n000004.json b/manifests/batches/oproofs/s00002-r00002636-n000004.json
index 597634f5055259cd9ce64a9e1d4efe74d710fcd6..e34acf331b2e71685a147a952cce3308de28c5cf 100644
--- a/manifests/batches/oproofs/s00002-r00002636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002636-n000004",
   "batch_fingerprint": "ddedb274b9864c29723f7fad1c6d456147b82de1504941fd7397f30b61d9b30e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002636-n000004-0000-4df5df0846e28c62.parquet",
-      "sha256": "4df5df0846e28c62319eafb037fee0dc700fdfb5835c95db637a3722a72f052a",
-      "bytes": 736957,
-      "rows": 26,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002637.lean\",\"a5abb8a321462fecd2c0cc15adc6250ce1279c1cc7a03d9c4c7dad8ace072ec8\",0,\"lean_workbook_plus_26552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002638.lean\",\"3d255476c1a54b8fc83dc6e3b4f8f8e7d4ea3511aa3bc35193de208a4ff5f7b1\",0,\"lean_workbook_18679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002639.lean\",\"6cd131e84218ac3b13b7c9ef67d9d7be94e546e4a516b534bfcb8e47d5036e52\",0,\"lean_workbook_22702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 736957,
+      "path": "data/train/pee/oproofs-s00002-r00002636-n000004-0000-4df5df0846e28c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "4df5df0846e28c62319eafb037fee0dc700fdfb5835c95db637a3722a72f052a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002640-n000004.json b/manifests/batches/oproofs/s00002-r00002640-n000004.json
index 2c8d33c61769bca72b8997c183377c0e72da1fd5..7fcfeabcd54803ea574fd8d7c01c4e2a248f4e3e 100644
--- a/manifests/batches/oproofs/s00002-r00002640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002640-n000004",
   "batch_fingerprint": "d346373686e65564a6a1026854958cb976499db03ea925db26c830fec2cec64b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002640-n000004-0000-b4d1158bd3959930.parquet",
-      "sha256": "b4d1158bd3959930eefbc5784d99a398409aade3000d9d348d9311175f05456a",
-      "bytes": 334879,
-      "rows": 12,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002640-n000004-0001-c49d6d058050809d.parquet",
-      "sha256": "c49d6d058050809d0f2f7311ad20e109d4db28453ea65c6851699c953c8e327e",
-      "bytes": 1455932,
-      "rows": 3,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2641",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002641.lean\",\"87794763bebdefcdfa4cce2f54e8b212fd405d87b064b311e01a2689048b93c0\",0,\"lean_workbook_51154\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002642.lean\",\"ca890dd6c080b2c03bb2e7fa4ad1ce986156af11c1ba4054e6e1b8dac439bee3\",0,\"lean_workbook_plus_58715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002643.lean\",\"4c67a4f3ae9b0ea1d1cbb1deaafa5fef80421ff6df2a8a174f88c500dc5923f2\",0,\"lean_workbook_plus_49900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334879,
+      "path": "data/train/p4c/oproofs-s00002-r00002640-n000004-0000-b4d1158bd3959930.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b4d1158bd3959930eefbc5784d99a398409aade3000d9d348d9311175f05456a"
+    },
+    {
+      "bytes": 1455932,
+      "path": "data/train/p4c/oproofs-s00002-r00002640-n000004-0001-c49d6d058050809d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c49d6d058050809d0f2f7311ad20e109d4db28453ea65c6851699c953c8e327e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002644-n000004.json b/manifests/batches/oproofs/s00002-r00002644-n000004.json
index 045ab86cc595a54ea8574ffd0a7204a3eca3efcf..307d0e91af56fc8ab72f91b054eae63d384acbbf 100644
--- a/manifests/batches/oproofs/s00002-r00002644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002644-n000004",
   "batch_fingerprint": "3f2eeefbb0de5b828e104104b68d77b1d6967a826e43be46881bce5117700c0f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002644-n000004-0000-f9a5939837a6eb54.parquet",
-      "sha256": "f9a5939837a6eb546b7d7661c8572b8f3a8e78c5e8bc1fe97ee70c2dc6acd169",
-      "bytes": 222905,
-      "rows": 15,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002644-n000004-0000-729cd7a088d172c0.parquet",
-      "sha256": "729cd7a088d172c07c60f4cc1904bc1f538075babc4fb8471ea7d8bb34cb4524",
-      "bytes": 48219,
-      "rows": 4,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002645.lean\",\"37a6c383d9ea85a4880de658572ed2644b8a468318d52a48570986c83c736469\",0,\"lean_workbook_plus_68127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002646.lean\",\"24e4ad5b87337ec87a6231e3d4a998d79001e86036e7340e3e39afbd99ffab1b\",0,\"lean_workbook_plus_45822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002647.lean\",\"67228c9c1c6a9f3e5cf969208fb5bfd06748ef4078fe3444f524892489cffcda\",0,\"lean_workbook_29526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222905,
+      "path": "data/train/p26/oproofs-s00002-r00002644-n000004-0000-f9a5939837a6eb54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f9a5939837a6eb546b7d7661c8572b8f3a8e78c5e8bc1fe97ee70c2dc6acd169"
+    },
+    {
+      "bytes": 48219,
+      "path": "data/internal_test/p26/oproofs-s00002-r00002644-n000004-0000-729cd7a088d172c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "729cd7a088d172c07c60f4cc1904bc1f538075babc4fb8471ea7d8bb34cb4524"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002648-n000004.json b/manifests/batches/oproofs/s00002-r00002648-n000004.json
index 69402a203d682c705299731a49d138202f895de8..3c1f3985a401cf0021397f898feaa05d13a844a8 100644
--- a/manifests/batches/oproofs/s00002-r00002648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002648-n000004",
   "batch_fingerprint": "23b7dfe75bf2288063c2bf7db064bb8a76ed1a3bb918213fa8bbfa61fa65fb69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002648-n000004-0000-bfd0c884745d1fe4.parquet",
-      "sha256": "bfd0c884745d1fe4e734e36a69d7c7dc7d631b0bb2ea7a4b964305fb10bd5de4",
-      "bytes": 185157,
-      "rows": 13,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002649.lean\",\"87a8209a5189e5343c85152bec374b5fbc30cb536f9775dd34db33432827ce60\",0,\"lean_workbook_plus_36431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002650.lean\",\"312d432bd1fee0fe7f4229e9777f4d8f7c8ccb99c6a110695d89e61900936f1f\",0,\"lean_workbook_plus_59692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002651.lean\",\"8a5dfaf330a2949e670d2d7f0c282135d0254e031b68409d710e9446c30246a9\",0,\"lean_workbook_plus_62858\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185157,
+      "path": "data/train/p2f/oproofs-s00002-r00002648-n000004-0000-bfd0c884745d1fe4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bfd0c884745d1fe4e734e36a69d7c7dc7d631b0bb2ea7a4b964305fb10bd5de4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002652-n000004.json b/manifests/batches/oproofs/s00002-r00002652-n000004.json
index 8431b0eb56d3931618c9180ef9e40053f5fc5c94..6ee8a349bfb796fb2ab35e74f8d21e97346cd794 100644
--- a/manifests/batches/oproofs/s00002-r00002652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002652-n000004",
   "batch_fingerprint": "09d4de85898defd45122ce4c629ab9e34bef6976f7c1a4577bf3187f34d666a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002652-n000004-0000-ca3c9ab67a2da6ef.parquet",
-      "sha256": "ca3c9ab67a2da6efeec167d0468fb7010ee4e51e3d43589e59d2ab274e148cc4",
-      "bytes": 446488,
-      "rows": 14,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002652-n000004-0000-8145bf6d0bab9628.parquet",
-      "sha256": "8145bf6d0bab9628240e248df8c8225c43f452a063d1c63b9d20836c6bf1a582",
-      "bytes": 36124,
-      "rows": 2,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2653",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002653.lean\",\"29c76dd9cc9e05993e4c983b6c6b7d91925fdaaab7ed581c75db2878569a1c0d\",0,\"lean_workbook_plus_12482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002654.lean\",\"a5a2f40d6523f1998d8871eb3179794d2eed59fb546b3919a738a4e79a97bd86\",0,\"complex_distance_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002655.lean\",\"cbecf02bdce60a98b1b40a29ad21c55187083235cb99da11a6b1f393430ddb79\",0,\"lean_workbook_plus_62236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 446488,
+      "path": "data/train/p37/oproofs-s00002-r00002652-n000004-0000-ca3c9ab67a2da6ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ca3c9ab67a2da6efeec167d0468fb7010ee4e51e3d43589e59d2ab274e148cc4"
+    },
+    {
+      "bytes": 36124,
+      "path": "data/internal_test/p37/oproofs-s00002-r00002652-n000004-0000-8145bf6d0bab9628.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8145bf6d0bab9628240e248df8c8225c43f452a063d1c63b9d20836c6bf1a582"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002656-n000004.json b/manifests/batches/oproofs/s00002-r00002656-n000004.json
index 6f14004ea3ca57ba4156861882d90e27b092aba2..414057ac1ebc03a9259191181b411c74ef0b3edf 100644
--- a/manifests/batches/oproofs/s00002-r00002656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002656-n000004",
   "batch_fingerprint": "b7aa0475e5bd38ade9e703d01553f955d293de778745441a97b6e06718292867",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002656-n000004-0000-ac040af8b4ce1984.parquet",
-      "sha256": "ac040af8b4ce19846f6af699d76deac1272dd123be2ed0f8844faae4b48a6c13",
-      "bytes": 323593,
-      "rows": 21,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002657.lean\",\"3a89391d85b16a638c325a932bb7fc378950d63bdf26d6abd75e7b23189f2990\",0,\"lean_workbook_plus_73681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002658.lean\",\"df60c17622f1f3ca46ca34fad5330832160609df92ece2a0fd1faf8f66e582d4\",0,\"lean_workbook_plus_71476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002659.lean\",\"cc7da69203972749238442cc06c0e1e5a5fe01dd6c4f81a0ba0128b7e1254b87\",0,\"lean_workbook_20807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323593,
+      "path": "data/train/p69/oproofs-s00002-r00002656-n000004-0000-ac040af8b4ce1984.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ac040af8b4ce19846f6af699d76deac1272dd123be2ed0f8844faae4b48a6c13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002660-n000004.json b/manifests/batches/oproofs/s00002-r00002660-n000004.json
index d607c7e0dd7a6d17d434ed878982d4281208f112..2806685d39d1113360f3db2a7699d8d2e5282865 100644
--- a/manifests/batches/oproofs/s00002-r00002660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002660-n000004",
   "batch_fingerprint": "d139e4093ef7ed70b723851cbc1b14b39102a5208f955ceec0d716031dad73f8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002660-n000004-0000-4d3627647fd8fef8.parquet",
-      "sha256": "4d3627647fd8fef8f6e5d899c6c64517272a2f21b3ccd386e380e1711c8e2cc6",
-      "bytes": 189888,
-      "rows": 15,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002660-n000004-0001-ff9cf70f79bd58ba.parquet",
-      "sha256": "ff9cf70f79bd58ba270f47573d71665e63f93410750f4a4bf4341bc37ea5eb02",
-      "bytes": 758054,
-      "rows": 2,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002661.lean\",\"7c3902329ce9bb653957bcdc86a055f8ff4455ba6b146a2734e9c74af3c1fe98\",0,\"lean_workbook_24201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002662.lean\",\"6e7f356d639fd964e0f3d891dea494c3105723758904f81913a1632156aed9c0\",0,\"lean_workbook_plus_50596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002663.lean\",\"04eee5eefecf4ddfb7287f44795b99e693468173897f93ba1df48d403ab88c50\",0,\"lean_workbook_plus_36229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189888,
+      "path": "data/train/p85/oproofs-s00002-r00002660-n000004-0000-4d3627647fd8fef8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4d3627647fd8fef8f6e5d899c6c64517272a2f21b3ccd386e380e1711c8e2cc6"
+    },
+    {
+      "bytes": 758054,
+      "path": "data/train/p85/oproofs-s00002-r00002660-n000004-0001-ff9cf70f79bd58ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ff9cf70f79bd58ba270f47573d71665e63f93410750f4a4bf4341bc37ea5eb02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002664-n000004.json b/manifests/batches/oproofs/s00002-r00002664-n000004.json
index 7e14266deb77706d96dc0750a20bd63a443eb47b..91f5640865acfba296a328333062729cdf78e087 100644
--- a/manifests/batches/oproofs/s00002-r00002664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002664-n000004",
   "batch_fingerprint": "8815f130591519eec2c841b37aca0c67037bebd7093c949800dd2e380f6f17a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002664-n000004-0000-572e0312b713127a.parquet",
-      "sha256": "572e0312b713127a79370accc0eec7912dbe1990acd98eef2cafa530e1607b78",
-      "bytes": 215467,
-      "rows": 16,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2665",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002665.lean\",\"056966634feaf5a43d7610ae353eb516f243a057b326892359eafe085adc19e0\",0,\"lean_workbook_plus_79224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002666.lean\",\"bbc22a20257455b8c3042e920cd0dea2f48798597418e257770ed3105d11bb48\",0,\"lean_workbook_plus_46676\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002667.lean\",\"f461afade05d3129ae8647635f136f7d5a78968f0dc6edbfce80523d11682a47\",0,\"lean_workbook_plus_41980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215467,
+      "path": "data/train/p7e/oproofs-s00002-r00002664-n000004-0000-572e0312b713127a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "572e0312b713127a79370accc0eec7912dbe1990acd98eef2cafa530e1607b78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002668-n000004.json b/manifests/batches/oproofs/s00002-r00002668-n000004.json
index 065c2de9114e8d5f6dbdc8d6fc82c17a7c03a0e4..9fe24895f3d1a77d9f4ff5e2de53fcb06843130b 100644
--- a/manifests/batches/oproofs/s00002-r00002668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002668-n000004",
   "batch_fingerprint": "026159e98d9aaed5987be0bac4ac46419ab0294edc925ed6511a71afd149ecc3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002668-n000004-0000-76ef4bc3b8f6e313.parquet",
-      "sha256": "76ef4bc3b8f6e313f7539879a5c2e9ed982e5ea848b67a5e0ba5b33afe4671c7",
-      "bytes": 123086,
-      "rows": 24,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2669",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002669.lean\",\"e1d8188c4af89ad2675e2baa6a44a197080342630a8e33d10cb433a91ac6fe15\",0,\"lean_workbook_21498\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002670.lean\",\"a351844d01291fde0defb2ee8efd2abcf1b98e2fae2ae79fb2641c185e9b3005\",0,\"lean_workbook_plus_51408\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002671.lean\",\"5ffbd330de5e74d56eba60011c45e482084f9782f1b0fd776f910301bd60fecb\",0,\"lean_workbook_plus_23317\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123086,
+      "path": "data/train/p1d/oproofs-s00002-r00002668-n000004-0000-76ef4bc3b8f6e313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "76ef4bc3b8f6e313f7539879a5c2e9ed982e5ea848b67a5e0ba5b33afe4671c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002672-n000004.json b/manifests/batches/oproofs/s00002-r00002672-n000004.json
index 29db3b7f2e4fdba953fbb7465badc59f1ba8fb8e..ce5e39086b4b335a22afd7f1de209efbc4998cc0 100644
--- a/manifests/batches/oproofs/s00002-r00002672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002672-n000004",
   "batch_fingerprint": "c21d4ac8d8363d031d8ffc7b2644710fe3528d4c00baae07f86e31e42e0d306f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002672-n000004-0000-39074f9d880782f8.parquet",
-      "sha256": "39074f9d880782f827f81c0257618b6d32f05524931af6914a4a1d5a4da7e9fb",
-      "bytes": 230576,
-      "rows": 15,
-      "revision": "42b31b14c76a3d39647ca79d28c7b966929e5534"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002673.lean\",\"3f401f4541bcd5c2065a9a2193e1835a9aa04e44162970811babc46b7ad693d8\",0,\"lean_workbook_plus_57150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002674.lean\",\"074fba59d3d577fbcadbfac6c13cda0cdc212014bc37b73e9f85c59d2bd5bff9\",0,\"lean_workbook_plus_62698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002675.lean\",\"145f7de25a0b06b4c1194c7132d9f8b2cabb20f689411e8f3c66fb46d48b99e2\",0,\"lean_workbook_18904\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230576,
+      "path": "data/train/pec/oproofs-s00002-r00002672-n000004-0000-39074f9d880782f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "39074f9d880782f827f81c0257618b6d32f05524931af6914a4a1d5a4da7e9fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002676-n000004.json b/manifests/batches/oproofs/s00002-r00002676-n000004.json
index 1df2e56a3a110995680ec2a22bc48d3c9ce23d4b..01a4b1555fa8c6d4b5d97d97f38698ca50fce24d 100644
--- a/manifests/batches/oproofs/s00002-r00002676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002676-n000004",
   "batch_fingerprint": "498535c18e52582ebed37aa28a225d46a84ea83e71e0002cf144d16f8c129e2f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002676-n000004-0000-d3f8db4580bbddd0.parquet",
-      "sha256": "d3f8db4580bbddd019a8c663f7fb800f30e0a235cbe2059db4cf8955298a728f",
-      "bytes": 662349,
-      "rows": 29,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002677.lean\",\"0335900af3c3640e683e7bc6d7f78a9c1d36f265b683bf5e3fe65e6e75025bf1\",0,\"lean_workbook_plus_56837\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002678.lean\",\"7353645bd91e588d45da67e26d84b5e32a3e64448b7356daa81788ee8725af91\",0,\"lean_workbook_plus_48898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002679.lean\",\"f60f2f6ed52830cad7d4528b265103a0e5af8c1fb8ab89c807caffee67cee8e5\",0,\"lean_workbook_32006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662349,
+      "path": "data/train/paf/oproofs-s00002-r00002676-n000004-0000-d3f8db4580bbddd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d3f8db4580bbddd019a8c663f7fb800f30e0a235cbe2059db4cf8955298a728f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002680-n000004.json b/manifests/batches/oproofs/s00002-r00002680-n000004.json
index bdc99578a66101a1f1d39324deeb555163a61479..e286f3c2fa80411a76713da69902d560d23a6d79 100644
--- a/manifests/batches/oproofs/s00002-r00002680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002680-n000004",
   "batch_fingerprint": "3786d19b41d01b976da4453ae00a567c42f748f292089629368b7ebebf4e25c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002680-n000004-0000-aa634c41837c4789.parquet",
-      "sha256": "aa634c41837c478971caf486d79cada9062dd235577300229defe0b725c3dc59",
-      "bytes": 203849,
-      "rows": 20,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002680-n000004-0000-a12511575d2efcb9.parquet",
-      "sha256": "a12511575d2efcb904ee7142cf4a99aabd71ac5a74258e60b82e718a3e27018d",
-      "bytes": 67311,
-      "rows": 4,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002681.lean\",\"420744c8f977a67570667de9f749b0d4b7a2ba4135f4e3938ef3adbeac2e6e8e\",0,\"lean_workbook_52578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002682.lean\",\"4b96866ff1bada9db6108b0f444c745a049be039b1b25646f077e4fdc5d56522\",0,\"lean_workbook_plus_45524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002683.lean\",\"f87d84312761b2788853b43c474903e8ab7761671f45fdf00b1c3d4ff224c1e2\",0,\"lean_workbook_plus_35025\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203849,
+      "path": "data/train/p2a/oproofs-s00002-r00002680-n000004-0000-aa634c41837c4789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "aa634c41837c478971caf486d79cada9062dd235577300229defe0b725c3dc59"
+    },
+    {
+      "bytes": 67311,
+      "path": "data/dev/p2a/oproofs-s00002-r00002680-n000004-0000-a12511575d2efcb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a12511575d2efcb904ee7142cf4a99aabd71ac5a74258e60b82e718a3e27018d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002684-n000004.json b/manifests/batches/oproofs/s00002-r00002684-n000004.json
index 6879e49a4aa785fa3bfbb387a45f274365178f8f..0011e4d17b142dfcc82b3a8c09c1ea2be8580c68 100644
--- a/manifests/batches/oproofs/s00002-r00002684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002684-n000004",
   "batch_fingerprint": "4fc585aecab4091dc5d5fd5cfacd7d983bb9b362e26159a19873a17f4209fff2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002684-n000004-0000-fc541a13842946a3.parquet",
-      "sha256": "fc541a13842946a33fe70be3ac1ced713b1ef972bcb3d317f6b60ae95ac556ac",
-      "bytes": 234264,
-      "rows": 17,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002684-n000004-0000-bd7b15888f869ae5.parquet",
-      "sha256": "bd7b15888f869ae5ae2e9dc9796c7669c47f42798b40ef7a3fce3fcbba6b9a3b",
-      "bytes": 91763,
-      "rows": 4,
-      "revision": "da075b1645bed5e88e9843b16a373b07b51ca2ba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002685.lean\",\"d32c9fd44e8ec258e23587f9cc5fe78e6d7442d7dc0b5d59ecb38b8b08bbf46f\",0,\"lean_workbook_plus_63591\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002686.lean\",\"7b979d407bc5a4662cad51a9f37ea684868858542bf4dca5b1531e08155f9425\",0,\"lean_workbook_30384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002687.lean\",\"35d58b2012872686e48575bcb3e17b8c13245eed31e0599bdea9980333172318\",0,\"empty_set_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234264,
+      "path": "data/train/pbb/oproofs-s00002-r00002684-n000004-0000-fc541a13842946a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fc541a13842946a33fe70be3ac1ced713b1ef972bcb3d317f6b60ae95ac556ac"
+    },
+    {
+      "bytes": 91763,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00002684-n000004-0000-bd7b15888f869ae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bd7b15888f869ae5ae2e9dc9796c7669c47f42798b40ef7a3fce3fcbba6b9a3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002688-n000004.json b/manifests/batches/oproofs/s00002-r00002688-n000004.json
index e55b8e10d2c1c97118977d3660effe42bf58273a..b82e84284e667a56e58c41ea5b10a4b806a0823d 100644
--- a/manifests/batches/oproofs/s00002-r00002688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002688-n000004",
   "batch_fingerprint": "44d8183a3b93cecac886554e2dc995146e69d278dc638606cbdde0b1b82994ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002688-n000004-0000-f511b2a809cc50bb.parquet",
-      "sha256": "f511b2a809cc50bbcf7123854251c2c7bc3f2aae918c7d44d34012b564be0958",
-      "bytes": 252125,
-      "rows": 26,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002689.lean\",\"52faf28d68f16be33e554e05cf549f8c4d21091c44a5a1e1e26e1aa667be5e7c\",0,\"lean_workbook_plus_10877\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002690.lean\",\"25523559f4ce5ab5ec127106f44104b2d3df446ec91618652e07cdd952a6541f\",0,\"lean_workbook_plus_43841\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002691.lean\",\"f6ca3b399fd02ee67c82c08b894228aacfce04cc8be799f1f3ab9768890b01f0\",0,\"lean_workbook_18679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252125,
+      "path": "data/train/p69/oproofs-s00002-r00002688-n000004-0000-f511b2a809cc50bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f511b2a809cc50bbcf7123854251c2c7bc3f2aae918c7d44d34012b564be0958"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002692-n000004.json b/manifests/batches/oproofs/s00002-r00002692-n000004.json
index d91d9c39dd2ba4d6af5966e64bca54a29ec06c8c..b14931965b069b1177a4d3005044f624d6c62ff8 100644
--- a/manifests/batches/oproofs/s00002-r00002692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002692-n000004",
   "batch_fingerprint": "3bd5de17d310712d12ebfc477355f5302262efe6a058ae05c1e4f2b2e44b2c8b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002692-n000004-0000-e7c53ac54e71145d.parquet",
-      "sha256": "e7c53ac54e71145dc4068f4da0380750daa1a8bef3cb42f59e634467923bf5d5",
-      "bytes": 651657,
-      "rows": 25,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002693.lean\",\"80d66037c2e14ffa0ae22265d855f0c820e7c56b43de2be53c9db8c45e7e02ec\",0,\"lean_workbook_plus_80292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002694.lean\",\"2d233795c65a8bcfb28a791b2260900923fde122a14483093bfcf77ea97cc2a8\",0,\"lean_workbook_41452\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002695.lean\",\"fa64ee7cf17573e1cc21ad22642ef1b91100e5fbcc2c464b436a7088807a88f0\",0,\"lean_workbook_51154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 651657,
+      "path": "data/train/p80/oproofs-s00002-r00002692-n000004-0000-e7c53ac54e71145d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e7c53ac54e71145dc4068f4da0380750daa1a8bef3cb42f59e634467923bf5d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002696-n000004.json b/manifests/batches/oproofs/s00002-r00002696-n000004.json
index a821ecae914568d5aeabfece4bb369d2340b0faf..fd89ea79acc1a421191b2ee810ced57c67dc3425 100644
--- a/manifests/batches/oproofs/s00002-r00002696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002696-n000004",
   "batch_fingerprint": "fa0990a5275185612d6255508ca6161f5186f90d299e24accf47dd4dc97a9a3c",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2696",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2697",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2698",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2699"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002696.lean\",\"b06f7da333a64d6e556413b077d91ebed060591224bfb5fd49fdbdf6acefe576\",0,\"lean_workbook_plus_64139\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002697.lean\",\"7d9fcc1f3ec17ac9ea856ef5de7a202806d8ac1c8b1733dfa58cfc9fd7e31e69\",0,\"lean_workbook_plus_19145\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002698.lean\",\"6e42dc4200a1dd3ac5652f4287bde9aa447c2ff255f5996960ffbef29f0d5c53\",0,\"lean_workbook_40332\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002699.lean\",\"5698871b67c3ec05d5eb4361134dae13e3364b7939006435dad4245a79833ecc\",0,\"lean_workbook_plus_58715\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002696-n000004-0000-3199ec0e4aa8ad74.parquet",
-      "sha256": "3199ec0e4aa8ad743878ba2757e4930c9c749e11775c5fc676205519c06998f9",
       "bytes": 344677,
+      "path": "data/train/p1d/oproofs-s00002-r00002696-n000004-0000-3199ec0e4aa8ad74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
+      "sha256": "3199ec0e4aa8ad743878ba2757e4930c9c749e11775c5fc676205519c06998f9"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002696-n000004-0000-852d747731ce49e6.parquet",
-      "sha256": "852d747731ce49e6dbdebb2aeaae79fe93859b08ea2a9b8abc8f4c9dfd8d62fd",
       "bytes": 68182,
+      "path": "data/dev/p1d/oproofs-s00002-r00002696-n000004-0000-852d747731ce49e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
+      "sha256": "852d747731ce49e6dbdebb2aeaae79fe93859b08ea2a9b8abc8f4c9dfd8d62fd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002696-n000004-0000-778a6275f86946ba.parquet",
-      "sha256": "778a6275f86946ba19fc14cc12e9229080d58fc5104eafad258d2ab68d18274d",
       "bytes": 61342,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00002696-n000004-0000-778a6275f86946ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
+      "sha256": "778a6275f86946ba19fc14cc12e9229080d58fc5104eafad258d2ab68d18274d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2696",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2697",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2698",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2699"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002696.lean\",\"b06f7da333a64d6e556413b077d91ebed060591224bfb5fd49fdbdf6acefe576\",0,\"lean_workbook_plus_64139\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002697.lean\",\"7d9fcc1f3ec17ac9ea856ef5de7a202806d8ac1c8b1733dfa58cfc9fd7e31e69\",0,\"lean_workbook_plus_19145\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002698.lean\",\"6e42dc4200a1dd3ac5652f4287bde9aa447c2ff255f5996960ffbef29f0d5c53\",0,\"lean_workbook_40332\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002699.lean\",\"5698871b67c3ec05d5eb4361134dae13e3364b7939006435dad4245a79833ecc\",0,\"lean_workbook_plus_58715\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002700-n000004.json b/manifests/batches/oproofs/s00002-r00002700-n000004.json
index 6d3e4cb1d733a17119425e845069d0b15db211da..94aa67dbc397cf974cb92103a66794ea66f01ded 100644
--- a/manifests/batches/oproofs/s00002-r00002700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002700-n000004",
   "batch_fingerprint": "11ab06d2539f9cd7cd241515e324a576cd3df81e5f7603f81151126fa72d5e8b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002700-n000004-0000-c249e87eff2649ed.parquet",
-      "sha256": "c249e87eff2649ed13e6bfbfb6a4ccd553bb9d2e8f81299933377e22faaa445b",
-      "bytes": 336298,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002700-n000004-0000-a4fc47ef99c186f6.parquet",
-      "sha256": "a4fc47ef99c186f6d30c56bac2c835e4132b3faa8ce9ff7f5c9e3e89775dfd0b",
-      "bytes": 32171,
-      "rows": 2,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002701.lean\",\"f3b6236f26f6c2c01d72e5b39516189ffdbff54822ee605527710f7fd936853e\",0,\"lean_workbook_29526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002702.lean\",\"6e3e0b50da0eca99d6c95355b614b0c97512de5aba02722f06804fdbdf2c517a\",0,\"lean_workbook_34071\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002703.lean\",\"b8e7f905b66dd61f8a53381d643ae2db9de10d683d9ec82939c8c49238c1fb2a\",0,\"lean_workbook_plus_49900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336298,
+      "path": "data/train/p50/oproofs-s00002-r00002700-n000004-0000-c249e87eff2649ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c249e87eff2649ed13e6bfbfb6a4ccd553bb9d2e8f81299933377e22faaa445b"
+    },
+    {
+      "bytes": 32171,
+      "path": "data/internal_test/p50/oproofs-s00002-r00002700-n000004-0000-a4fc47ef99c186f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a4fc47ef99c186f6d30c56bac2c835e4132b3faa8ce9ff7f5c9e3e89775dfd0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002704-n000004.json b/manifests/batches/oproofs/s00002-r00002704-n000004.json
index 4251d575afe91de748ca021b90d73fd1bf4c8169..20d6a29b8e68a94b58a5055a6e23f3ee5828b12e 100644
--- a/manifests/batches/oproofs/s00002-r00002704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002704-n000004",
   "batch_fingerprint": "74b0b0faada1b7ffc3beae235ca61961ca34fc25f802ce2bef75361e4a4c5f88",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002704-n000004-0000-578cb6f8c8e581db.parquet",
-      "sha256": "578cb6f8c8e581db370ba93ba959b75a92a575c46d2179119b602942ea8119f1",
-      "bytes": 284835,
-      "rows": 19,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002705.lean\",\"0c84fe771a7d8565398e49e964c1ee0811a3eba852f1d472f330fbded6151f24\",0,\"lean_workbook_plus_36431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002706.lean\",\"5e2787bceb0f6a3cd96b60ef27fdcdc324a93dae6b2c78c791134abfe100e602\",0,\"lean_workbook_plus_62858\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002707.lean\",\"8f3abf72745a4ae60c89c645ce7e2f40276ec364f311650dd33fdc696dc84da6\",0,\"lean_workbook_54850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284835,
+      "path": "data/train/p75/oproofs-s00002-r00002704-n000004-0000-578cb6f8c8e581db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "578cb6f8c8e581db370ba93ba959b75a92a575c46d2179119b602942ea8119f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002708-n000004.json b/manifests/batches/oproofs/s00002-r00002708-n000004.json
index 698e0760b3c112c7cb4a238187dad7a921d36b9f..e314156a4135f37990c15855fda5de109c3af4b8 100644
--- a/manifests/batches/oproofs/s00002-r00002708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002708-n000004",
   "batch_fingerprint": "807048dd11e970c87992d3629eac59832c91e9f2470df0b0111d4623ad2dd54b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2708",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2709",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2710",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2711"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002708.lean\",\"ec118ed736e9031125af9c6858bacd440ac6bec51b40d31b1b0208c3f506149f\",0,\"lean_workbook_plus_66642\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002709.lean\",\"770d1aff259fe2d6d2faa5349cff40f4c98616493c1f72049e23749579add02e\",0,\"lean_workbook_plus_11891\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002710.lean\",\"3e9d44fdd7b324211a96e14b73af86a3fef9c88f2de9a10f7edb4abfa24619df\",0,\"lean_workbook_plus_2431\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002711.lean\",\"9b3f4a98517a35a64c03cd71a003473646ab9e42792bad67f5f2d49c88fcffae\",0,\"lean_workbook_plus_12482\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00002708-n000004-0000-1275929b89ee11ac.parquet",
-      "sha256": "1275929b89ee11acfecf1d6fca48840ec93ca681826766f0d11ae750f0dfa0f5",
       "bytes": 422127,
+      "path": "data/train/p31/oproofs-s00002-r00002708-n000004-0000-1275929b89ee11ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
+      "sha256": "1275929b89ee11acfecf1d6fca48840ec93ca681826766f0d11ae750f0dfa0f5"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00002708-n000004-0000-bc6d6ab4e98b0b7c.parquet",
-      "sha256": "bc6d6ab4e98b0b7c753c9ccd2647c9c84e50e12554cdfa34f7bc73e85dceb5ab",
       "bytes": 1010270,
+      "path": "data/dev/p31/oproofs-s00002-r00002708-n000004-0000-bc6d6ab4e98b0b7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
+      "sha256": "bc6d6ab4e98b0b7c753c9ccd2647c9c84e50e12554cdfa34f7bc73e85dceb5ab"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00002708-n000004-0000-8ab53b1a24492b37.parquet",
-      "sha256": "8ab53b1a24492b378a399141d0ba547854585b7b41c7a86cfe759de08cc629f9",
       "bytes": 36901,
+      "path": "data/internal_test/p31/oproofs-s00002-r00002708-n000004-0000-8ab53b1a24492b37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
+      "sha256": "8ab53b1a24492b378a399141d0ba547854585b7b41c7a86cfe759de08cc629f9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2708",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2709",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2710",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2711"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002708.lean\",\"ec118ed736e9031125af9c6858bacd440ac6bec51b40d31b1b0208c3f506149f\",0,\"lean_workbook_plus_66642\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002709.lean\",\"770d1aff259fe2d6d2faa5349cff40f4c98616493c1f72049e23749579add02e\",0,\"lean_workbook_plus_11891\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002710.lean\",\"3e9d44fdd7b324211a96e14b73af86a3fef9c88f2de9a10f7edb4abfa24619df\",0,\"lean_workbook_plus_2431\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002711.lean\",\"9b3f4a98517a35a64c03cd71a003473646ab9e42792bad67f5f2d49c88fcffae\",0,\"lean_workbook_plus_12482\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002712-n000004.json b/manifests/batches/oproofs/s00002-r00002712-n000004.json
index f0a5e0c343a27aa6d2367f971902fd3ebbf04b37..42afe0c35127cab12401b4cc9c2ab1e53f50744c 100644
--- a/manifests/batches/oproofs/s00002-r00002712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002712-n000004",
   "batch_fingerprint": "d9234df49a9b0d5c293739c4a2541f0a9f369cb067f20761fc098ea38040c128",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002712-n000004-0000-5a5cfaf7a625443d.parquet",
-      "sha256": "5a5cfaf7a625443d8e9f2f21b33eebfc5a1dbd4739afc140885398741a265407",
-      "bytes": 472618,
-      "rows": 15,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002713.lean\",\"c971a7f81b06b5fd854a6e411f08d116c10300065dd6236690ba48d4a4dba7dd\",0,\"lean_workbook_plus_51639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002714.lean\",\"295d8b98e3604bc3c497f8f7774947075a76836a5e38e61f07545811419ca80f\",0,\"lean_workbook_34907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002715.lean\",\"2c13acd879fe106d38f32322782d615faffedbc884b580a1f135423c6ca47d9b\",0,\"lean_workbook_plus_73681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 472618,
+      "path": "data/train/p3d/oproofs-s00002-r00002712-n000004-0000-5a5cfaf7a625443d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5a5cfaf7a625443d8e9f2f21b33eebfc5a1dbd4739afc140885398741a265407"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002716-n000004.json b/manifests/batches/oproofs/s00002-r00002716-n000004.json
index 5dc5d91e3974ee8073ac65d07b00f087bf2cda5f..346a6837a9f13e38c7453f96f260027a673b584c 100644
--- a/manifests/batches/oproofs/s00002-r00002716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002716-n000004",
   "batch_fingerprint": "c20befb212b2138bd48774a8275c1e79607d3518669a7e79fe09d72f6383eb8c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002716-n000004-0000-3e2fd3e18e2b9203.parquet",
-      "sha256": "3e2fd3e18e2b920344d2a831d2e8159011216f68f81b752ab5f30f5ed90bdfb3",
-      "bytes": 174393,
-      "rows": 11,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002717.lean\",\"ee30981a1e778605180b90eb179ccd7be1de5626a2d6a128aafc864e3e4466e6\",0,\"lean_workbook_plus_69474\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002718.lean\",\"9e4e409c593024ee261a4ec8253a7b9e829afa1e052a22e1a1a4a44e8d9745c9\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002719.lean\",\"7b95bfae3f5dfb1a4c0e062d1666ec5135d1a8dc9018c3e01f8d4f04050dddf0\",0,\"lean_workbook_plus_35002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174393,
+      "path": "data/train/p30/oproofs-s00002-r00002716-n000004-0000-3e2fd3e18e2b9203.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3e2fd3e18e2b920344d2a831d2e8159011216f68f81b752ab5f30f5ed90bdfb3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002720-n000004.json b/manifests/batches/oproofs/s00002-r00002720-n000004.json
index 401aba62bddfe648a987034f19a1130e6a9bfa56..562405bcad3af5776aac7b320bb418052a3e80d8 100644
--- a/manifests/batches/oproofs/s00002-r00002720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002720-n000004",
   "batch_fingerprint": "ac7677704b4b43b96b934cf78342db8f8984ec283a20d3e289e5aef2261bbcd3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002720-n000004-0000-318908addafa2909.parquet",
-      "sha256": "318908addafa2909b49e049e7b94756ac3db8189c55b207ed899ff15d6797512",
-      "bytes": 120464,
-      "rows": 10,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002721.lean\",\"5190ff310965e8093b295b66f76557be6bc38f32e19726a419bb4151df8f6542\",0,\"lean_workbook_plus_79224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002722.lean\",\"4a5609757ecb3fd881b4ec1152cc7a0c8b5df2cf55898d97159c50ea9ed283da\",0,\"lean_workbook_plus_24018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002723.lean\",\"367ccf1a637a141715ff77d0442e6ecc0af6635487205ac6e4451b3e254c2bfb\",0,\"lean_workbook_plus_46676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120464,
+      "path": "data/train/p6e/oproofs-s00002-r00002720-n000004-0000-318908addafa2909.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "318908addafa2909b49e049e7b94756ac3db8189c55b207ed899ff15d6797512"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002724-n000004.json b/manifests/batches/oproofs/s00002-r00002724-n000004.json
index 3e1df870f4031520a5bc3f4e380d60caf67cc5fa..1c520268d66c8ace1c7a0c86590f4ac654acc545 100644
--- a/manifests/batches/oproofs/s00002-r00002724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002724-n000004",
   "batch_fingerprint": "b8eaee81d511940762be8d529fcab97225cdf276372cbf89ec60d1983b52fd0d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002724-n000004-0000-7bc31dcb8f0d1b4a.parquet",
-      "sha256": "7bc31dcb8f0d1b4a58009ce9d5996c2da6b5154878234d7d7b049564b3c01c4e",
-      "bytes": 126042,
-      "rows": 14,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002724-n000004-0000-d52f09cf288480cd.parquet",
-      "sha256": "d52f09cf288480cd43e97dfecc57f94349c29b1a04ec8c795b14d403b3a38e29",
-      "bytes": 70105,
-      "rows": 3,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002725.lean\",\"01464c0a9022e19b00d3759c48888981e185121e57374ce8bdc252023d88acc0\",0,\"table_tennis_prob_three_points\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002726.lean\",\"f927b2cb80b660e4ab0adb03d325184944cec59a1bf0a16a417231e1c1aefdf3\",0,\"lean_workbook_plus_37759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002727.lean\",\"cc9bb9e5030ea914fa815294196b67cc0852ead242ad0905ae903b939b37c99e\",0,\"lean_workbook_21498\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126042,
+      "path": "data/train/pa3/oproofs-s00002-r00002724-n000004-0000-7bc31dcb8f0d1b4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7bc31dcb8f0d1b4a58009ce9d5996c2da6b5154878234d7d7b049564b3c01c4e"
+    },
+    {
+      "bytes": 70105,
+      "path": "data/dev/pa3/oproofs-s00002-r00002724-n000004-0000-d52f09cf288480cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d52f09cf288480cd43e97dfecc57f94349c29b1a04ec8c795b14d403b3a38e29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002728-n000004.json b/manifests/batches/oproofs/s00002-r00002728-n000004.json
index cc3c8b88c292a0db57fd12331d1cf243932e1bd4..704b5b7e93cf22840883dc7bb6995658975e4904 100644
--- a/manifests/batches/oproofs/s00002-r00002728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002728-n000004",
   "batch_fingerprint": "5ce3fed41dd0fdbba8466984067dcd625ed5a71b8a65051c96a012618c4e4691",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002728-n000004-0000-12ff19d64afb3dbc.parquet",
-      "sha256": "12ff19d64afb3dbc9c0012654e012fad8498b387fb91a97d1f6a184d13f75c73",
-      "bytes": 154952,
-      "rows": 15,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2730",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002728.lean\",\"9696aea8a2017772153743ec0e4685a10279f6b3ba022177ddc6c3435b5931b6\",0,\"lean_workbook_plus_80792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002730.lean\",\"c2b48e42e4012a31a3c839b6dd66fdc5ed23bc9fd17cbf2e52974c1a00aa5996\",0,\"lean_workbook_plus_1494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002731.lean\",\"cbe02dfb53fb2300cea8902af1b987c9301b4807ef0cdcde17ad83cab50f1498\",0,\"lean_workbook_plus_23317\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154952,
+      "path": "data/train/pe1/oproofs-s00002-r00002728-n000004-0000-12ff19d64afb3dbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "12ff19d64afb3dbc9c0012654e012fad8498b387fb91a97d1f6a184d13f75c73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002732-n000004.json b/manifests/batches/oproofs/s00002-r00002732-n000004.json
index be07cfeb8052159718d990bfb090420087b32f3a..9ba43d273a561a51b41f5aa45aa6129e86e182e9 100644
--- a/manifests/batches/oproofs/s00002-r00002732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002732-n000004",
   "batch_fingerprint": "fd9fbff48073db6a468765b873d05ab9ad106d38b06c394a22ad9d118f7854f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002732-n000004-0000-1cca307543dc5e94.parquet",
-      "sha256": "1cca307543dc5e94ebe897f94d648db41c0789d6da523fb29c18bece52ae8da9",
-      "bytes": 165017,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002733.lean\",\"ec38c7f154621b079f873994ca5ed7b6cd668ff1b28401941b16d5d549047992\",0,\"lean_workbook_plus_62698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002734.lean\",\"f4cc2bbf59cf3b41402df02b2c20b25be54e1c7eb181719b2fb3ee48466e6493\",0,\"lean_workbook_18904\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002735.lean\",\"d36909950d601c5d390652409125ca758daf9fa23f1de93d52c0e8a9f6301730\",0,\"lean_workbook_plus_56837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165017,
+      "path": "data/train/pb8/oproofs-s00002-r00002732-n000004-0000-1cca307543dc5e94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1cca307543dc5e94ebe897f94d648db41c0789d6da523fb29c18bece52ae8da9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002736-n000004.json b/manifests/batches/oproofs/s00002-r00002736-n000004.json
index 47f448bcef5ab8ca04e91fb6894e4b4d39c0b65b..ad271eca25183fbf30094cefdf52951c95f0ee99 100644
--- a/manifests/batches/oproofs/s00002-r00002736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002736-n000004",
   "batch_fingerprint": "b8110ca71c64d00ffc61c2eb7eff189063f71dfe8d51cacb7eb518d958d0bece",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002736-n000004-0000-695949ce10b24404.parquet",
-      "sha256": "695949ce10b24404d9868c6e94aadedafebfdd0b34f044b18220cf985e29044c",
-      "bytes": 283400,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002736-n000004-0000-94fab70c17e15e21.parquet",
-      "sha256": "94fab70c17e15e21cdec887470fd5d35c7177cbc33fc420a8019fad44fa392be",
-      "bytes": 77222,
-      "rows": 4,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002737.lean\",\"dd54beeb8309ddbb0ca1230401975822a005ffb687999b73ddff02fe776bb393\",0,\"lean_workbook_plus_48898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002738.lean\",\"da6bef3273e643bb60a7cd0c255def5f93422a9c1c36b8cb8038e9a327494dbe\",0,\"lean_workbook_plus_78756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002739.lean\",\"cf36d4d95be83c84c2ad74c524fcb666121be0a441d7600fd81f6f154d930638\",0,\"lean_workbook_plus_33661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283400,
+      "path": "data/train/p99/oproofs-s00002-r00002736-n000004-0000-695949ce10b24404.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "695949ce10b24404d9868c6e94aadedafebfdd0b34f044b18220cf985e29044c"
+    },
+    {
+      "bytes": 77222,
+      "path": "data/dev/p99/oproofs-s00002-r00002736-n000004-0000-94fab70c17e15e21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "94fab70c17e15e21cdec887470fd5d35c7177cbc33fc420a8019fad44fa392be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002740-n000004.json b/manifests/batches/oproofs/s00002-r00002740-n000004.json
index 4e4e65b78f4aa445e4a41ef11cd5a844cba60a51..d7c789bc09fe6a36b3506276414eef3b4a2dcf5f 100644
--- a/manifests/batches/oproofs/s00002-r00002740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002740-n000004",
   "batch_fingerprint": "a568c98bf4728bc67a491f7de2525b38a0872a14aed6be79eccf56de8e97f97f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002740-n000004-0000-22e508ee112a2017.parquet",
-      "sha256": "22e508ee112a2017ba412b38130435c83262fe364563ee977f04020863175c92",
-      "bytes": 335178,
-      "rows": 25,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002741.lean\",\"5c2dc7f12d49a6706adb9b014f1b5e411cc75645fd73c642df8ac72edaf5269c\",0,\"lean_workbook_plus_29083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002742.lean\",\"2a619ad22b7447690555158a36b5be4ece8d8a908f0a4029536c6942e9d5154a\",0,\"lean_workbook_plus_57150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002743.lean\",\"fc257c11359344e2a03dfe644511a8ba746d1cae58a43ac3a97d48d69c11a862\",0,\"lean_workbook_plus_45256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335178,
+      "path": "data/train/p35/oproofs-s00002-r00002740-n000004-0000-22e508ee112a2017.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "22e508ee112a2017ba412b38130435c83262fe364563ee977f04020863175c92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002744-n000004.json b/manifests/batches/oproofs/s00002-r00002744-n000004.json
index 3d1f5bb0fd24ce1bc67e8da0e2e51a726b524c55..3e8d97cc3096e6dfe78abbfa4242b3a4317c191f 100644
--- a/manifests/batches/oproofs/s00002-r00002744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002744-n000004",
   "batch_fingerprint": "c33a04b178945d717461c08b3f9b315c422ccb1d354389f731473d33b27c6f5e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002744-n000004-0000-00da90205409715c.parquet",
-      "sha256": "00da90205409715c9f9fb6adf036d78be10e15b0cbc6ead615ca9a9a4dfb9324",
-      "bytes": 179030,
-      "rows": 18,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2745",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002745.lean\",\"cdbc699a50eeb5ebde0d5d6df6765dcceab802842f53a028b3613382eaa11e0f\",0,\"lean_workbook_plus_61622\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002746.lean\",\"1f9d58032c69da810b14951aded76d751d7ef77c9ff65156b98740adab3685e7\",0,\"lean_workbook_plus_45150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002747.lean\",\"4da55112ba314d2ca43fdf88fd53db6b00e2bde78f2ec7026ba59c7acc08e83d\",0,\"lean_workbook_plus_43841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179030,
+      "path": "data/train/p48/oproofs-s00002-r00002744-n000004-0000-00da90205409715c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "00da90205409715c9f9fb6adf036d78be10e15b0cbc6ead615ca9a9a4dfb9324"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002748-n000004.json b/manifests/batches/oproofs/s00002-r00002748-n000004.json
index c923edc0cdeed8ef3753b4f47d69fe3e9c1ead6b..b31651f719d45961ea453ea482b012b67e657efb 100644
--- a/manifests/batches/oproofs/s00002-r00002748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002748-n000004",
   "batch_fingerprint": "7175c806fa645ca36ffd978622fb7d8203b93783d6ee9bed245f50787cc2f2a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002748-n000004-0000-3047985d8794fc25.parquet",
-      "sha256": "3047985d8794fc25d5be3aa826722e52099e8e1846b6a8243ea8b1d3e2e95cee",
-      "bytes": 277927,
-      "rows": 15,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2749",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002749.lean\",\"a292e83fb3c9fd8516d6b8c391effc468da1c090c0dbe0c03a645f88b51c89fe\",0,\"lean_workbook_18679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002750.lean\",\"06290e3d0c8f602f5eae14564898fafbb1362018d5a1f729026a42cd3306fa72\",0,\"lean_workbook_32006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002751.lean\",\"1e9e6755fa11e7d3a85e78440d5853388824196d51c8756c174accde67be3a1a\",0,\"lean_workbook_plus_31404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277927,
+      "path": "data/train/p2a/oproofs-s00002-r00002748-n000004-0000-3047985d8794fc25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3047985d8794fc25d5be3aa826722e52099e8e1846b6a8243ea8b1d3e2e95cee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002752-n000004.json b/manifests/batches/oproofs/s00002-r00002752-n000004.json
index 72f9cedb263ba118dd63cf5b1ac5ee1b47e6f6e7..cb11ec1a0d3d881a36c980bf51b0b039d1f1cea0 100644
--- a/manifests/batches/oproofs/s00002-r00002752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002752-n000004",
   "batch_fingerprint": "fcf32cb8a8c4ac3326e6b4e3067482ba292eae415694f9ce8c6a3b9d25945f02",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002752-n000004-0000-84445819bea1cddb.parquet",
-      "sha256": "84445819bea1cddb4564331b0ba89643d4a9fd2eb9e0a74e9dc8ded0bfb5bb18",
-      "bytes": 184408,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002752-n000004-0000-be6fa9cc3ace1d08.parquet",
-      "sha256": "be6fa9cc3ace1d08b7d164c4fb4e89b9b3d3695f517622d5b216265f854e7588",
-      "bytes": 84273,
-      "rows": 4,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002753.lean\",\"0f05ee97e84421942b0cec9c0cdc29ef2606df9280d995f0121bc19d001b5058\",0,\"lean_workbook_30384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002754.lean\",\"5363fa54abccc5267a55da63a58f3effd1699ad85ca1c38aba1a8c70acd6172d\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002755.lean\",\"0c19e2b8b9c496f232ac5caeb0c5edbeeb3f1dc9d2a131d6b85406f7c96cd120\",0,\"lean_workbook_plus_12890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184408,
+      "path": "data/train/p0d/oproofs-s00002-r00002752-n000004-0000-84445819bea1cddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "84445819bea1cddb4564331b0ba89643d4a9fd2eb9e0a74e9dc8ded0bfb5bb18"
+    },
+    {
+      "bytes": 84273,
+      "path": "data/dev/p0d/oproofs-s00002-r00002752-n000004-0000-be6fa9cc3ace1d08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "be6fa9cc3ace1d08b7d164c4fb4e89b9b3d3695f517622d5b216265f854e7588"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002756-n000004.json b/manifests/batches/oproofs/s00002-r00002756-n000004.json
index dd1305c1bf5e81b9a05d2750b71908e27e77a00d..1516028c28a8b8dc26a796fe085f73df8bae4749 100644
--- a/manifests/batches/oproofs/s00002-r00002756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002756-n000004",
   "batch_fingerprint": "b69e6742560ee3b1666ea31de1945d111e76dd1418a7b834aaa3552202d9e5d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002756-n000004-0000-9e244f90320582f2.parquet",
-      "sha256": "9e244f90320582f2643286bc4b5901d74baba5f14cfe8ff214ce8f220f73e43e",
-      "bytes": 512442,
-      "rows": 12,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002756-n000004-0000-8c35a78d306c1255.parquet",
-      "sha256": "8c35a78d306c1255ee738c3a02e10f3e8052bd4d6b87175045c34cf7eb9a94ec",
-      "bytes": 54044,
-      "rows": 6,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2757",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002757.lean\",\"3cd933022d6551e9d2bc65ec56a90dd4605bf76e384b5ae6c3057602b1ee0467\",0,\"lean_workbook_40332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002758.lean\",\"d64db2d9aec06ad1a7c5f26cd337e9ce3aee684e28341e90fd7daf21c88934db\",0,\"lean_workbook_51154\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002759.lean\",\"b0b9556f6b38cd5d492a0a1adaecacc586088baa536bb4deb9acc8a4b0b2b2e8\",0,\"lean_workbook_41452\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512442,
+      "path": "data/train/p59/oproofs-s00002-r00002756-n000004-0000-9e244f90320582f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9e244f90320582f2643286bc4b5901d74baba5f14cfe8ff214ce8f220f73e43e"
+    },
+    {
+      "bytes": 54044,
+      "path": "data/internal_test/p59/oproofs-s00002-r00002756-n000004-0000-8c35a78d306c1255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8c35a78d306c1255ee738c3a02e10f3e8052bd4d6b87175045c34cf7eb9a94ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002760-n000004.json b/manifests/batches/oproofs/s00002-r00002760-n000004.json
index b8dde9420d03941bd3d9984198eada23db8c5210..57b9bc195c7569f0fffb17727130f1f20cb110e0 100644
--- a/manifests/batches/oproofs/s00002-r00002760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002760-n000004",
   "batch_fingerprint": "fc2e731a1418d910ed7bc0067c9aeb2002b0a3f5f107edffa5b8bfa5e3f24090",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002760-n000004-0000-87ef41f5f1569947.parquet",
-      "sha256": "87ef41f5f1569947de2baf3efddbc0425be1a864d43299f31068d29809734a31",
-      "bytes": 131624,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002760-n000004-0000-46cc1ca1a2454851.parquet",
-      "sha256": "46cc1ca1a2454851d4f54b4c915eac4cf5362797d68637294c16a0b3639bb1a7",
-      "bytes": 32289,
-      "rows": 2,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002761.lean\",\"9f8f8da65c92678cb621f64fd7112e9d8341a5dc0c901eb69f699dc0e53cc7f5\",0,\"lean_workbook_29526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002762.lean\",\"6d0470d1cdf79efea19ecfa47dfd15e9e457e9b7e3f4279b33865bf7d48688d4\",0,\"lean_workbook_34071\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002763.lean\",\"26498ff8bba15a7621361ff8f6385c09cb1e4c6a23cace0bd437c4b2d065b8be\",0,\"lean_workbook_1777\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131624,
+      "path": "data/train/p14/oproofs-s00002-r00002760-n000004-0000-87ef41f5f1569947.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "87ef41f5f1569947de2baf3efddbc0425be1a864d43299f31068d29809734a31"
+    },
+    {
+      "bytes": 32289,
+      "path": "data/internal_test/p14/oproofs-s00002-r00002760-n000004-0000-46cc1ca1a2454851.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "46cc1ca1a2454851d4f54b4c915eac4cf5362797d68637294c16a0b3639bb1a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002764-n000004.json b/manifests/batches/oproofs/s00002-r00002764-n000004.json
index 5d88607be1c150b6b0bb1b4b10682ea9bcedb638..63c28365ce19515a4871a0e4265508cf5ec59a05 100644
--- a/manifests/batches/oproofs/s00002-r00002764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002764-n000004",
   "batch_fingerprint": "c69058dd5d4890efc738eba5a5c0e2370053a7409bdb27c3d520d89d593a897a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002764-n000004-0000-5c3edf6ff515b2df.parquet",
-      "sha256": "5c3edf6ff515b2df1b01cd08b02665833e4ba414b22212b0a5b630070f5f105b",
-      "bytes": 561134,
-      "rows": 18,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002765.lean\",\"5602d54ac6e9d47a50886b2a6fd02d7948c7df7caf4fbfea42e11a3f94c70bf6\",0,\"lean_workbook_plus_36431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002766.lean\",\"0d8fc60bcd2ee8b0d145a71fcc8f863d44cbd9f123156e8eeca4d5110740e2f5\",0,\"lean_workbook_plus_62858\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002767.lean\",\"4cec068721b9c0c47ac29aadb28645bbcc06d29c71c8d4c6fa552277f9b216cc\",0,\"lean_workbook_plus_49900\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 561134,
+      "path": "data/train/p82/oproofs-s00002-r00002764-n000004-0000-5c3edf6ff515b2df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5c3edf6ff515b2df1b01cd08b02665833e4ba414b22212b0a5b630070f5f105b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002768-n000004.json b/manifests/batches/oproofs/s00002-r00002768-n000004.json
index 5eaae699daa657de6a0502a241a98fa30302ef9d..16100b1d74c76740b90dfc281e666fc4ec04baba 100644
--- a/manifests/batches/oproofs/s00002-r00002768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002768-n000004",
   "batch_fingerprint": "ac44db62141732cf3cfaba6acb6a757a5ad9f4515410bceeceed5e0a79b5ef1e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002768-n000004-0000-d5eb2b809433bd46.parquet",
-      "sha256": "d5eb2b809433bd460404bfd2d812049e3a2b512cb6afc404ad4b77259279e465",
-      "bytes": 312041,
-      "rows": 11,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002768-n000004-0000-ba194ceb47c00b93.parquet",
-      "sha256": "ba194ceb47c00b93daf916ac84f9c4d7105e5a550f59fa92a2810432f0c2ed49",
-      "bytes": 159825,
-      "rows": 5,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2769",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002769.lean\",\"200a237c13102ed02fba0e8d5cd18a04b265f8b672dba5f2bde7cb4e90dd48e7\",0,\"lean_workbook_plus_45822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002770.lean\",\"f29c79c0fb233fb3df4b4b8ac5b157cbb47b53fc96e96319f366b8009130d2d4\",0,\"lean_workbook_plus_11891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002771.lean\",\"5de57f7077c73264750c84a46e06609896331d1eafd666618d15cf95fb4d17b9\",0,\"lean_workbook_plus_20864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312041,
+      "path": "data/train/p51/oproofs-s00002-r00002768-n000004-0000-d5eb2b809433bd46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d5eb2b809433bd460404bfd2d812049e3a2b512cb6afc404ad4b77259279e465"
+    },
+    {
+      "bytes": 159825,
+      "path": "data/dev/p51/oproofs-s00002-r00002768-n000004-0000-ba194ceb47c00b93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ba194ceb47c00b93daf916ac84f9c4d7105e5a550f59fa92a2810432f0c2ed49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002772-n000004.json b/manifests/batches/oproofs/s00002-r00002772-n000004.json
index bad007aff4bba5aa34042511aad6c2c09d998857..2aa2c511c130ebf729bd11b456a8b45b3a8183fc 100644
--- a/manifests/batches/oproofs/s00002-r00002772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002772-n000004",
   "batch_fingerprint": "5fafbaa21d67f2ccdaa47a42473c57f18e21493893e1d41e4cca25241ee45588",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002772-n000004-0000-33ce863b1e895468.parquet",
-      "sha256": "33ce863b1e895468036a06648eb197f1c42e590f928efa86983788926b95b14d",
-      "bytes": 371388,
-      "rows": 16,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002773.lean\",\"06d82baf20975d925d5ffdfdc3241fe84cb82fd267cff2e27fb54363f08616bf\",0,\"lean_workbook_plus_39285\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002774.lean\",\"365156b9f009e9e61bf980c70cfba1af9e74e3020ba1f5ed739b7912b097a3c1\",0,\"lean_workbook_plus_71476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002775.lean\",\"e3f158d7174ae1cc546cfb38fb1d1af18028efd4dde1505121a238c67c065d4a\",0,\"lean_workbook_plus_62236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371388,
+      "path": "data/train/pbf/oproofs-s00002-r00002772-n000004-0000-33ce863b1e895468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "33ce863b1e895468036a06648eb197f1c42e590f928efa86983788926b95b14d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002776-n000004.json b/manifests/batches/oproofs/s00002-r00002776-n000004.json
index 969ba0050c6c95016173e210a52e45f2b02e281b..534bbc063dcdf81f5306bf6f9164956e0b01575b 100644
--- a/manifests/batches/oproofs/s00002-r00002776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002776-n000004",
   "batch_fingerprint": "d6d1427c63390edbc43f023f22ccd6b8e2429ecdd5e49eb8f6482374aa9903bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002776-n000004-0000-8f1217b00e67546e.parquet",
-      "sha256": "8f1217b00e67546ee8cc3b804e7af9a534dc4ef91c0fd1d172e50201e715b371",
-      "bytes": 161326,
-      "rows": 8,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002776-n000004-0000-d1ce349ea6e65361.parquet",
-      "sha256": "d1ce349ea6e6536151555ec801884f419013ad9d97255e29c70f5ecdd39ec843",
-      "bytes": 1258994,
-      "rows": 13,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002777.lean\",\"a09158452c54cfac9cff305e71078891fc87c4a675eb9e0a166e82933f70f085\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002778.lean\",\"d1e65020c7266057ee3eb5e6d5fd687a4b3af606e173d1ea40b4fc687f5feda9\",0,\"lean_workbook_plus_2431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002779.lean\",\"98156fabb92a268989818259d5a9c46bda7761c9337b6197b07974a24f1d7bee\",0,\"lean_workbook_plus_35002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161326,
+      "path": "data/train/pba/oproofs-s00002-r00002776-n000004-0000-8f1217b00e67546e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8f1217b00e67546ee8cc3b804e7af9a534dc4ef91c0fd1d172e50201e715b371"
+    },
+    {
+      "bytes": 1258994,
+      "path": "data/dev/pba/oproofs-s00002-r00002776-n000004-0000-d1ce349ea6e65361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d1ce349ea6e6536151555ec801884f419013ad9d97255e29c70f5ecdd39ec843"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002780-n000004.json b/manifests/batches/oproofs/s00002-r00002780-n000004.json
index 77b7d7cc525f1952c1c90298103cae1ed4d0cade..4d7ea850f05fd72630cfdefc07fa94825a12abcf 100644
--- a/manifests/batches/oproofs/s00002-r00002780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002780-n000004",
   "batch_fingerprint": "1931d8c4436dee8635132364f1e7e609048f5addb2e479f4f8a11bfa1b2d1ccf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002780-n000004-0000-5b65f16bb357356c.parquet",
-      "sha256": "5b65f16bb357356c2420a3c6103fb32a938fdcc039c72b0c1efdfe265ef2a7ff",
-      "bytes": 703520,
-      "rows": 24,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002780-n000004-0001-6042e7623ac03d3d.parquet",
-      "sha256": "6042e7623ac03d3da3011bfaf89f22a2599e6490b87bafe043d498f0d05e6747",
-      "bytes": 67766,
-      "rows": 6,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2781",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002781.lean\",\"6eca735c4b41f069416ab3ffa76184baeea904f7e9f67b74e1ef95e1814010ee\",0,\"lean_workbook_plus_78532\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002782.lean\",\"471e841b023b5009a100480e9bfcf977897a5119ae1c2c66874e7f2312de7a95\",0,\"lean_workbook_24201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002783.lean\",\"8832644eb029cbb1eef0db0491f4cf66b65c1e24e3212aa4142e56541e11364c\",0,\"lean_workbook_plus_79224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 703520,
+      "path": "data/train/p2b/oproofs-s00002-r00002780-n000004-0000-5b65f16bb357356c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5b65f16bb357356c2420a3c6103fb32a938fdcc039c72b0c1efdfe265ef2a7ff"
+    },
+    {
+      "bytes": 67766,
+      "path": "data/train/p2b/oproofs-s00002-r00002780-n000004-0001-6042e7623ac03d3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6042e7623ac03d3da3011bfaf89f22a2599e6490b87bafe043d498f0d05e6747"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002784-n000004.json b/manifests/batches/oproofs/s00002-r00002784-n000004.json
index 3dfdf06909d4750817fdc58484fe02c32a312fc6..947d0e44eee3369e62022209fb36849d7683de15 100644
--- a/manifests/batches/oproofs/s00002-r00002784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002784-n000004",
   "batch_fingerprint": "dd084aaa93e770f1e05de059ffddfd7274ab963e4ee8de00c9797c2912c8db5d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002784-n000004-0000-552159fbc132c62c.parquet",
-      "sha256": "552159fbc132c62cfcfa740e46d879d61bb16a8f6a21c13799dc1dcef67e9045",
-      "bytes": 214105,
-      "rows": 14,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002785.lean\",\"f1d310b357cedc065edc16acbabcebf12ac88486a8a4061c4c98500e14979ad9\",0,\"lean_workbook_plus_43081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002786.lean\",\"17ed447432cc927bfeb556f5d237c731f09de9dbce48784cd54f918c03ea794a\",0,\"lean_workbook_plus_46676\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002787.lean\",\"eb78d88272b44077b00c3cc7a2490b31883273d33d81a73d1827617cacdc410d\",0,\"lean_workbook_plus_41980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214105,
+      "path": "data/train/p35/oproofs-s00002-r00002784-n000004-0000-552159fbc132c62c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "552159fbc132c62cfcfa740e46d879d61bb16a8f6a21c13799dc1dcef67e9045"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002788-n000004.json b/manifests/batches/oproofs/s00002-r00002788-n000004.json
index fad0785feb048abd68fb4fa134c8cb1cd01ffea5..10656ed19d7a1e3130e98c815100ac3658476344 100644
--- a/manifests/batches/oproofs/s00002-r00002788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002788-n000004",
   "batch_fingerprint": "23bea33cad9922932c6a9cebdbb7418ed34cdb8f599afa8b56c2cfe970ceb658",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002788-n000004-0000-78129cab343ffc28.parquet",
-      "sha256": "78129cab343ffc289914d25d451a814442cb2234435b8ecf86d9f52b45cf3bec",
-      "bytes": 1191497,
-      "rows": 23,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002789.lean\",\"d058ca5fb99244c9e4ee35a2f02a9f36d315a7c416b705f91fae20dc1b27787b\",0,\"lean_workbook_plus_50596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002790.lean\",\"d1dd472f07d12acc23179d143042493870b8f66098b29ae4a6e37210212f4342\",0,\"lean_workbook_21498\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002791.lean\",\"3a49fca2a906751fe8bff5d6cd2da62778d2265984f9a75cb10f8bada35d3761\",0,\"lean_workbook_plus_37759\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1191497,
+      "path": "data/train/pbb/oproofs-s00002-r00002788-n000004-0000-78129cab343ffc28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "78129cab343ffc289914d25d451a814442cb2234435b8ecf86d9f52b45cf3bec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002792-n000004.json b/manifests/batches/oproofs/s00002-r00002792-n000004.json
index a0860747c707f16e5bf84ba15e8752bdda78bea3..4746df233ca28ca9be3f866977053fd17358078f 100644
--- a/manifests/batches/oproofs/s00002-r00002792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002792-n000004",
   "batch_fingerprint": "d43ef7325e6f8ddfb1e5262eec9bc8cd0e4cc84e365d704efa1ec7e0ddce2afb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002792-n000004-0000-2bc57e5a9d102b43.parquet",
-      "sha256": "2bc57e5a9d102b4325d53a6f188e567681c72a3083cdcb779ac1d28dc72f70f6",
-      "bytes": 291362,
-      "rows": 16,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002793.lean\",\"41592fa505371f53492fc32e6e621da1f9d27ad2b9bd83ffb725f041f6dbb537\",0,\"lean_workbook_plus_80792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002794.lean\",\"75a41684a439eca3a61c0e723264da94a70b19cb7a22a8ef671a5718ad809077\",0,\"lean_workbook_plus_36229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002795.lean\",\"75c374c0098345a7572a263bc8040040f63f6fe683cde963fd5d67196584e80a\",0,\"relay_station_equation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291362,
+      "path": "data/train/pa9/oproofs-s00002-r00002792-n000004-0000-2bc57e5a9d102b43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2bc57e5a9d102b4325d53a6f188e567681c72a3083cdcb779ac1d28dc72f70f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002796-n000004.json b/manifests/batches/oproofs/s00002-r00002796-n000004.json
index 2362f32fdf656cd3252b0469a618717b20ce4c36..54d0739140167e7683ee6e6ca529d2c4faf23af4 100644
--- a/manifests/batches/oproofs/s00002-r00002796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002796-n000004",
   "batch_fingerprint": "d26082cdfcfd1c866c6d7a543ba8f6d657173e58f20ec62c651ab478535014ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002796-n000004-0000-a7ca49e74ee7e693.parquet",
-      "sha256": "a7ca49e74ee7e693eac049fbb86c020fdf57e6de8f0902e6d468fdb8b3bd57af",
-      "bytes": 311486,
-      "rows": 13,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002796-n000004-0000-e3738a35abbfc9e9.parquet",
-      "sha256": "e3738a35abbfc9e947180430076ce0a0b1c510bc966ba8c650e5ab4ec657df8a",
-      "bytes": 43727,
-      "rows": 2,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002797.lean\",\"5c1889788aa0c10fa4d8bccb19e026d87ab696fd1f5a1519824c4b2b0e05740f\",0,\"lean_workbook_plus_20927\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002798.lean\",\"f1a74f06f6ba3c6f367db035bbdd6c0725ab5d7cc3b873823dfbc94af55a8627\",0,\"lean_workbook_10549\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002799.lean\",\"76fc546d71d2ea40d1c5479937a4b19be16045c6a9be70ec50de9fac666b5a5f\",0,\"lean_workbook_plus_52815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311486,
+      "path": "data/train/p09/oproofs-s00002-r00002796-n000004-0000-a7ca49e74ee7e693.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a7ca49e74ee7e693eac049fbb86c020fdf57e6de8f0902e6d468fdb8b3bd57af"
+    },
+    {
+      "bytes": 43727,
+      "path": "data/dev/p09/oproofs-s00002-r00002796-n000004-0000-e3738a35abbfc9e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e3738a35abbfc9e947180430076ce0a0b1c510bc966ba8c650e5ab4ec657df8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002800-n000004.json b/manifests/batches/oproofs/s00002-r00002800-n000004.json
index 4a5319dca6eaef2ae1510d18ea5e3f0ac4f4e7de..ff9a1852f82b06369c75e68ed215f0823d3850de 100644
--- a/manifests/batches/oproofs/s00002-r00002800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002800-n000004",
   "batch_fingerprint": "75879a9dbce2666ac821fdec72329f74780f107a11d875fee4ec64c0f8db54f1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002800-n000004-0000-40abb20b591c9632.parquet",
-      "sha256": "40abb20b591c96321c6523d5d229a1c254553aa1603dc5ec44ca480cad99e515",
-      "bytes": 358424,
-      "rows": 18,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002800-n000004-0000-38621bcd1c79f98c.parquet",
-      "sha256": "38621bcd1c79f98c4f71c82b7b95880c35a03d561361dd548f0e44759adae152",
-      "bytes": 482118,
-      "rows": 14,
-      "revision": "3906d287965007948eaf0f1c28832a7de5d8e09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002801.lean\",\"176f0a39eab65cbcbb5f0d35b68fc5ee2957bc6507a0a0d392cdbacb67dfda8a\",0,\"lean_workbook_plus_26838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002802.lean\",\"c927198b5506522c6b48729df0ad6a29844a88b7d26d8860ef47543ef19c23b2\",0,\"lean_workbook_plus_69773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002803.lean\",\"4891d1874f43ef6dc33cc81917476f256baedd8d1b1c912122b41edcdc068168\",0,\"lean_workbook_plus_48518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358424,
+      "path": "data/train/p74/oproofs-s00002-r00002800-n000004-0000-40abb20b591c9632.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "40abb20b591c96321c6523d5d229a1c254553aa1603dc5ec44ca480cad99e515"
+    },
+    {
+      "bytes": 482118,
+      "path": "data/internal_test/p74/oproofs-s00002-r00002800-n000004-0000-38621bcd1c79f98c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "38621bcd1c79f98c4f71c82b7b95880c35a03d561361dd548f0e44759adae152"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002804-n000004.json b/manifests/batches/oproofs/s00002-r00002804-n000004.json
index 74c15509f2c9433a53eb52310971605fbbc1d31e..6b35104f44d8fe3b449da566b63b1b9e6e61a5c2 100644
--- a/manifests/batches/oproofs/s00002-r00002804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002804-n000004",
   "batch_fingerprint": "a8a2f4f009830c83f65c2a117dd1510f9bb44b8a1289ad16b68a0b5cd126df81",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002804-n000004-0000-4d7746fbdc45df48.parquet",
-      "sha256": "4d7746fbdc45df48e4ad594829af726696b150f235cc14ce5f1095f4e5571ba9",
-      "bytes": 181861,
-      "rows": 14,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2805",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002805.lean\",\"d9385bd25f334614013b0a168dced30d29545116454b9fe0b1c30afe6d62e487\",0,\"lean_workbook_40999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002806.lean\",\"cd7e9a5efe17ee8bff002420c6ac3db4be77768e323c48d4e10190c034fcac0d\",0,\"lean_workbook_plus_35307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002807.lean\",\"3c4b2f71b5c5957ace58ebb3ef9a3e6240dfd42865fda5272365bb39f7c7e45e\",0,\"lean_workbook_plus_22261\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181861,
+      "path": "data/train/pb2/oproofs-s00002-r00002804-n000004-0000-4d7746fbdc45df48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4d7746fbdc45df48e4ad594829af726696b150f235cc14ce5f1095f4e5571ba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002808-n000004.json b/manifests/batches/oproofs/s00002-r00002808-n000004.json
index 26a387f52f9ab6958fa6803f2a0442dc1e145d6e..aca0f20f92d41bf798cf8ee2d54f82cc680502a4 100644
--- a/manifests/batches/oproofs/s00002-r00002808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002808-n000004",
   "batch_fingerprint": "7962b81912db086a38a4735f2f4b728028df126956dc2d6c9d8030ceb3714039",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002808-n000004-0000-12b07a4390ab47a6.parquet",
-      "sha256": "12b07a4390ab47a6c324a2180f47e937441eebc1f8d6caf59fd12c2f31369aa8",
-      "bytes": 484449,
-      "rows": 16,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002809.lean\",\"ed9f4d2e3da0948e294e91a984507ab2ebbc58cac568016c94490f020d5fcd89\",0,\"lean_workbook_plus_81966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002810.lean\",\"557b472a0d018371844790ae5b3c90e1cff88b5ebc4e9684267557a736fa1590\",0,\"lean_workbook_4856\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002811.lean\",\"aec62d8e4e149061f4a4e580b00ff6d82721d3e1d37392093ec7e290b235e896\",0,\"lean_workbook_plus_18995\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484449,
+      "path": "data/train/p95/oproofs-s00002-r00002808-n000004-0000-12b07a4390ab47a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "12b07a4390ab47a6c324a2180f47e937441eebc1f8d6caf59fd12c2f31369aa8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002812-n000004.json b/manifests/batches/oproofs/s00002-r00002812-n000004.json
index b435b226a80e08a23c3973a6aaf0e50c3bab9ece..ffaa95da3d5165a7c02c263e8f174dd01e88fc17 100644
--- a/manifests/batches/oproofs/s00002-r00002812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002812-n000004",
   "batch_fingerprint": "3e32f530019170bc7358bc3bf9d2d7db867c4c392907004349df2a2801a84dfa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002812-n000004-0000-edcbc3a9ce08fa7b.parquet",
-      "sha256": "edcbc3a9ce08fa7bd6ed5f40f3abe2189ca0af346114381c49ef9b13e1ed1d62",
-      "bytes": 151629,
-      "rows": 7,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002812-n000004-0000-97b338fa94843df6.parquet",
-      "sha256": "97b338fa94843df6b98a14194cf0ed1bf406359259ef37a882f10c1b6da02028",
-      "bytes": 52363,
-      "rows": 5,
-      "revision": "c25782a8395805b6a27d3e90e4d4e9e48d5f9ad6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002813.lean\",\"9ce8a8fd0f6e6221008d13f83bb0bad1bcb60e23eea2ab5177ae9eee1c9f1525\",0,\"lean_workbook_plus_38330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002814.lean\",\"549ad6881a2628c347c346316537a5951ad67fe90b7cf2722cb9541d7b7b8b63\",0,\"lean_workbook_plus_55348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002815.lean\",\"67a0d8591e2d76b900c991cde057274821fa17bfdb5eec0c4811228a786b4080\",0,\"lean_workbook_plus_60890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151629,
+      "path": "data/train/p9d/oproofs-s00002-r00002812-n000004-0000-edcbc3a9ce08fa7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "edcbc3a9ce08fa7bd6ed5f40f3abe2189ca0af346114381c49ef9b13e1ed1d62"
+    },
+    {
+      "bytes": 52363,
+      "path": "data/internal_test/p9d/oproofs-s00002-r00002812-n000004-0000-97b338fa94843df6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "97b338fa94843df6b98a14194cf0ed1bf406359259ef37a882f10c1b6da02028"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002816-n000004.json b/manifests/batches/oproofs/s00002-r00002816-n000004.json
index 72138b3f93281648ad94db63df6ac860677bba96..1dc27ca2bd83ae9294f7dfa8478012e4b3031425 100644
--- a/manifests/batches/oproofs/s00002-r00002816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002816-n000004",
   "batch_fingerprint": "3cd5045399cd4ead8417232636207206e1cbe16e871c476b30f8517c6f892733",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002816-n000004-0000-8f223539d288966d.parquet",
-      "sha256": "8f223539d288966de26f9661317892fee194fad6fd5ddd1cd0899102cac2f0c4",
-      "bytes": 184184,
-      "rows": 13,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002817.lean\",\"c212bf7f8c2b708fe67c0de17776e3e1677f5da8d7084f849945e7e5af41b66a\",0,\"lean_workbook_plus_2099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002818.lean\",\"2ec066b28671bb9d1b52b55c6a81ee37237af0874a7471f1a520823edb7f8798\",0,\"lean_workbook_plus_67122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002819.lean\",\"4b8a087cc5611455e6a0f9b45e56d96a377f2c094bdd3db6dcd5246f88d8f871\",0,\"lean_workbook_plus_38911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184184,
+      "path": "data/train/p46/oproofs-s00002-r00002816-n000004-0000-8f223539d288966d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8f223539d288966de26f9661317892fee194fad6fd5ddd1cd0899102cac2f0c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002820-n000004.json b/manifests/batches/oproofs/s00002-r00002820-n000004.json
index 9165a3b87a3f7dd667151286e4f1da56610161f4..ab617cc4b24aa962a692b6f8df40caef7b4cac63 100644
--- a/manifests/batches/oproofs/s00002-r00002820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002820-n000004",
   "batch_fingerprint": "931a8c5b3267d579a8ecb2d073432954cad12341152d51881cbf7abd6e4860ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002820-n000004-0000-c55afbd3885edd9e.parquet",
-      "sha256": "c55afbd3885edd9e496cc82265987587ff9749bb9e26833c49667b04dce7cb55",
-      "bytes": 419391,
-      "rows": 15,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002821.lean\",\"c279bf510a247fd2d048f2f41f03b3b9d62d9405e3e13100d06fa69d5234dd63\",0,\"lean_workbook_plus_31164\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002822.lean\",\"589a26f689a8f106c730a461cc6dd38385df37c539676fa9a77ef63eb47ad324\",0,\"lean_workbook_plus_16845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002823.lean\",\"4d287ecf31e5c37b7b0be2b3db8429f5a35eeada97e3d341bb4708202e842704\",0,\"lean_workbook_11039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419391,
+      "path": "data/train/p69/oproofs-s00002-r00002820-n000004-0000-c55afbd3885edd9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c55afbd3885edd9e496cc82265987587ff9749bb9e26833c49667b04dce7cb55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002824-n000004.json b/manifests/batches/oproofs/s00002-r00002824-n000004.json
index fdbe6ef62a9282fd9974ae3882bfa44f0935bdee..08dacdaa66d42de112bf253b6a37fe16630e62d4 100644
--- a/manifests/batches/oproofs/s00002-r00002824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002824-n000004",
   "batch_fingerprint": "bcee53aa84082faba1e6f4ea37725ba10f871bfd9feaa7138b2b946ad01603ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002824-n000004-0000-3ad6f26b2fcf4bbd.parquet",
-      "sha256": "3ad6f26b2fcf4bbdde8f3e3db97212f2a29398f97cc33b70a83908925f2da0ac",
-      "bytes": 704604,
-      "rows": 19,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2825",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002825.lean\",\"203ef46ff51aeca93266d44b5beee83691c192518a412f95026460ca6bc7917a\",0,\"lean_workbook_plus_73249\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002826.lean\",\"c93605f7b62651ed63e93484a74b2f2abd1fd48e41986bc1c7f2cd880eab66f9\",0,\"lean_workbook_plus_36464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002827.lean\",\"d727c111027ec292b494b53077d4189e768d04862921c93fca8f1a10010fd336\",0,\"lean_workbook_plus_10134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 704604,
+      "path": "data/train/pb1/oproofs-s00002-r00002824-n000004-0000-3ad6f26b2fcf4bbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3ad6f26b2fcf4bbdde8f3e3db97212f2a29398f97cc33b70a83908925f2da0ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002828-n000004.json b/manifests/batches/oproofs/s00002-r00002828-n000004.json
index c6d270282cd5a0b8bd99450766044c4b0502455d..7247b9b83e292c2bd1a0e6d60ef27381e755df4b 100644
--- a/manifests/batches/oproofs/s00002-r00002828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002828-n000004",
   "batch_fingerprint": "439e01590a6fa1b0009bb3a6d9bcdae1c9552037489993608865a80f4a173ddc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002828-n000004-0000-a07a3ef9e3579daa.parquet",
-      "sha256": "a07a3ef9e3579daa8e441b5fec9666e7bab2ac722ca01b8ccd7a431d69e3fa36",
-      "bytes": 419337,
-      "rows": 29,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002829.lean\",\"c871f90f1fb29c4f12be322aceec5a5cd9dede7568cc8135efd72f22f36fd78b\",0,\"lean_workbook_plus_28385\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002830.lean\",\"bfea35a2ad24de512902e7ee9450cceebc3b3869cfc6767e316ac9c00416692e\",0,\"lean_workbook_39768\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002831.lean\",\"300e1135746af7d9f3776e8b7b2c769b5cf520f6869d8e2c5b33c868574e7174\",0,\"lean_workbook_36878\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419337,
+      "path": "data/train/p03/oproofs-s00002-r00002828-n000004-0000-a07a3ef9e3579daa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "a07a3ef9e3579daa8e441b5fec9666e7bab2ac722ca01b8ccd7a431d69e3fa36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002832-n000004.json b/manifests/batches/oproofs/s00002-r00002832-n000004.json
index 20d5ceb7369fa64d077a74d5240c37c5221851e9..e3dea311612e5218055d4b9b0015887339ead67c 100644
--- a/manifests/batches/oproofs/s00002-r00002832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002832-n000004",
   "batch_fingerprint": "2120d139673fb9200a3eb4a7a40790468d2dfa4759f1ebba37fee173c1095818",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002832-n000004-0000-155e4de2be34cd49.parquet",
-      "sha256": "155e4de2be34cd49752e4115afe616ba51d88ad722e2061d6e9b1e1c8d30ebd1",
-      "bytes": 218148,
-      "rows": 21,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002833.lean\",\"294002bffc3a51ac487bee08533b1121a2308639063d6ffd2e63fb1004b88696\",0,\"lean_workbook_22990\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002834.lean\",\"afc784589f4d2e0d80d8c64af0e824c7374a373b5cfa92cc8309b5e87a35462e\",0,\"lean_workbook_plus_8963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002835.lean\",\"df61e526f468754469e718b5207e295e180dcccf5349929ac105da1fdd21289b\",0,\"lean_workbook_plus_5952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218148,
+      "path": "data/train/p31/oproofs-s00002-r00002832-n000004-0000-155e4de2be34cd49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "155e4de2be34cd49752e4115afe616ba51d88ad722e2061d6e9b1e1c8d30ebd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002836-n000004.json b/manifests/batches/oproofs/s00002-r00002836-n000004.json
index 40ab097cdfc18302ad12d7f844f81654fdcbaa01..116bf64cd24486e3bef30fcfdbf1a9abecd55a56 100644
--- a/manifests/batches/oproofs/s00002-r00002836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002836-n000004",
   "batch_fingerprint": "d1c64c74b88504c860d758cedea04e55246fba6e3143cb6076f7a540bcd48fa3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002836-n000004-0000-5cf51d0b009f1db2.parquet",
-      "sha256": "5cf51d0b009f1db29490c43bc44d260b57441e7060a9727f27c8d7b37eb92e4a",
-      "bytes": 242729,
-      "rows": 19,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002837.lean\",\"4febc56e528e555852ae553a5bfed97c44cb2581e0243dceb81c758caec0755f\",0,\"lean_workbook_plus_24971\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002838.lean\",\"541dfeacff15b12153ddb9e26f3fd1d14a03ede82d62236a39e31eb1ea9bd8f4\",0,\"lean_workbook_plus_51018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002839.lean\",\"41266768e7898faedbeed8725cd2edbc28f40512d5d1e61e527da6129c45d136\",0,\"lean_workbook_plus_20032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242729,
+      "path": "data/train/pcf/oproofs-s00002-r00002836-n000004-0000-5cf51d0b009f1db2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5cf51d0b009f1db29490c43bc44d260b57441e7060a9727f27c8d7b37eb92e4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002840-n000004.json b/manifests/batches/oproofs/s00002-r00002840-n000004.json
index 11b638094e2b4bbdb6b73884dd6730b0f0be7787..e9ce73f4d79a657669209944b17c4e41f63a2dd8 100644
--- a/manifests/batches/oproofs/s00002-r00002840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002840-n000004",
   "batch_fingerprint": "cae7bb3ef572451c23494ab0fcafabee5d7998db2f2896a6c2bab102daadcf7a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002840-n000004-0000-81e04181e7c8c0c6.parquet",
-      "sha256": "81e04181e7c8c0c6a092b316eb0fd9fa2ef73832eaf6b126d4305b8097f34f69",
-      "bytes": 633462,
-      "rows": 18,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002841.lean\",\"fe54789abb87233fd4c5f5cf45c664f81a1d25ee944fe3c2e19dec30d923f424\",0,\"lean_workbook_plus_23310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002842.lean\",\"9a07cf5a05f892c1006901385d2dd6e8ccc98a0dd3695d84996c1c7920ba6311\",0,\"complex_modulus_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002843.lean\",\"4c6e7efe342b22c06f0954ad6c0703fcc4b1fb5393a00af43411a8ea70e6fd30\",0,\"lean_workbook_plus_65458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 633462,
+      "path": "data/train/p6d/oproofs-s00002-r00002840-n000004-0000-81e04181e7c8c0c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "81e04181e7c8c0c6a092b316eb0fd9fa2ef73832eaf6b126d4305b8097f34f69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002844-n000004.json b/manifests/batches/oproofs/s00002-r00002844-n000004.json
index 0d0b89f0403df6e86bd34ea2b7ff95a583be379c..4fbf4a0b012a118f0a3ce4ea8b3aaa68b85eb58e 100644
--- a/manifests/batches/oproofs/s00002-r00002844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002844-n000004",
   "batch_fingerprint": "60d1a001f6e6687a2f72e22201b8f7c7ba018bae9651147fc5603c1639ace228",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002844-n000004-0000-63032f18d188415e.parquet",
-      "sha256": "63032f18d188415edcc628a65e223ab67520a5eaabf75e4b93f901b54b8f3c9b",
-      "bytes": 376652,
-      "rows": 23,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2845",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002845.lean\",\"d1fde1f61fd00682c52e25bd3341f80857428b2683c5da0b5a60596d45786ea3\",0,\"lean_workbook_plus_38737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002846.lean\",\"8daf40fc174c2dcfef8c73cc662c415175004a5e67e1524ad25520c51a40f88a\",0,\"lean_workbook_plus_31042\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002847.lean\",\"eb30026580d22dbb4fbf52d2f785ff66333e57bbb7e3482b32f31d6bba46209b\",0,\"lean_workbook_plus_66928\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376652,
+      "path": "data/train/pc2/oproofs-s00002-r00002844-n000004-0000-63032f18d188415e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "63032f18d188415edcc628a65e223ab67520a5eaabf75e4b93f901b54b8f3c9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002848-n000004.json b/manifests/batches/oproofs/s00002-r00002848-n000004.json
index b36770e2b8e7d1553ccc942b95a744130d869caa..24c3c96b16f8662986b0931187def8a4a5de07ca 100644
--- a/manifests/batches/oproofs/s00002-r00002848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002848-n000004",
   "batch_fingerprint": "92481843f3bb28a937da56ed8de581ae79439eeec4d753d3f551e51a397ec13d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002848-n000004-0000-f3ccecfa045bae2e.parquet",
-      "sha256": "f3ccecfa045bae2e460cda24107ea33bfd541a77930ca9b6386792cce986bf26",
-      "bytes": 164391,
-      "rows": 18,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002848-n000004-0000-0a3244ad51389a03.parquet",
-      "sha256": "0a3244ad51389a031ff7639ebf6a958de256c07d1eae59c7723babc33b803c31",
-      "bytes": 86133,
-      "rows": 7,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002849.lean\",\"872903a072af863726a2e457c2b8095859fb3a29e9b60293594caa964b0d2723\",0,\"lean_workbook_plus_6096\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002850.lean\",\"df75f1e2e9ca4ad5a9d34306d3d2868a881511fa49d4fba396df2236523c40b1\",0,\"lean_workbook_47000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002851.lean\",\"0e7207160afcd8d833141ed396133fa6be7b716015bd986f13f69407b43f2aeb\",0,\"lean_workbook_plus_75254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164391,
+      "path": "data/train/p8f/oproofs-s00002-r00002848-n000004-0000-f3ccecfa045bae2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f3ccecfa045bae2e460cda24107ea33bfd541a77930ca9b6386792cce986bf26"
+    },
+    {
+      "bytes": 86133,
+      "path": "data/dev/p8f/oproofs-s00002-r00002848-n000004-0000-0a3244ad51389a03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0a3244ad51389a031ff7639ebf6a958de256c07d1eae59c7723babc33b803c31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002852-n000004.json b/manifests/batches/oproofs/s00002-r00002852-n000004.json
index d5358dc0a0053891d195f48ede3325b7d9a59bc8..af4fb3c2db1b9a33ce9cadac3cc704c5f4280dca 100644
--- a/manifests/batches/oproofs/s00002-r00002852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002852-n000004",
   "batch_fingerprint": "ef8d11193f729779cc264a4dfb9233a683749ae2cd85cb338d838a3520cf31d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002852-n000004-0000-8cce94c8e3f25b40.parquet",
-      "sha256": "8cce94c8e3f25b40255d5b07d9420fee0e4bb4fd08a7a62020186feb50d114e3",
-      "bytes": 238342,
-      "rows": 20,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002852-n000004-0000-645036e7060d7cd5.parquet",
-      "sha256": "645036e7060d7cd5aa54df4b95aa86ffbe33617929a24ff55851b53c7a319b57",
-      "bytes": 129518,
-      "rows": 3,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002853.lean\",\"968154962ab0ee149d2ffcc62d4abc0d60f082221ef50c464ae22649d4e1fbdf\",0,\"lean_workbook_plus_54974\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002854.lean\",\"7d5288aeb6f3ab9ba149e3b2f64f0741fef17cbc679f0d5733f7c14834214126\",0,\"lean_workbook_plus_41449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002855.lean\",\"ec7c4461aec2a92e4506e74f46016df8fbdbf2da4989d390208472eddf0146ef\",0,\"lean_workbook_plus_13260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238342,
+      "path": "data/train/p32/oproofs-s00002-r00002852-n000004-0000-8cce94c8e3f25b40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8cce94c8e3f25b40255d5b07d9420fee0e4bb4fd08a7a62020186feb50d114e3"
+    },
+    {
+      "bytes": 129518,
+      "path": "data/internal_test/p32/oproofs-s00002-r00002852-n000004-0000-645036e7060d7cd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "645036e7060d7cd5aa54df4b95aa86ffbe33617929a24ff55851b53c7a319b57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002856-n000004.json b/manifests/batches/oproofs/s00002-r00002856-n000004.json
index eccc489b0e5142d8f29ac207c0d9c055f1e9f673..08af2af1898499babe6fe05277f0442be25454c9 100644
--- a/manifests/batches/oproofs/s00002-r00002856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002856-n000004",
   "batch_fingerprint": "870d1794d1ee35a7d0289a78b96f98cfdc2dd178e58db64b706f785836a8293f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002856-n000004-0000-3a00a95b16bbf8d8.parquet",
-      "sha256": "3a00a95b16bbf8d80eb39109cb3c9f7fdeea40965370dc7dda3f600ad78fefe3",
-      "bytes": 184028,
-      "rows": 18,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002857.lean\",\"8f2264ade6d91302e80ab1662f7e99c40b97e247d43fd01b8bd0dbd5d5894386\",0,\"lean_workbook_plus_30832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002858.lean\",\"31ccf91a8a4d5534c92c97de2db9ef4b6fe5a20496e1fd693a5ddc7d05b5f454\",0,\"lean_workbook_plus_39139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002859.lean\",\"bc2bdba3e97c72cbe05d524acdc8d1e597f770b181d1968e7b8391a0fed2531c\",0,\"lean_workbook_52588\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184028,
+      "path": "data/train/p8a/oproofs-s00002-r00002856-n000004-0000-3a00a95b16bbf8d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3a00a95b16bbf8d80eb39109cb3c9f7fdeea40965370dc7dda3f600ad78fefe3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002860-n000004.json b/manifests/batches/oproofs/s00002-r00002860-n000004.json
index 947ce6d9c07dd9df1be4adbc0eee752cce9a15c4..6b246f38afdae8eddb657262b53e2bce7966ce72 100644
--- a/manifests/batches/oproofs/s00002-r00002860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002860-n000004",
   "batch_fingerprint": "38d2c3aeebcfda2c21b346bd1bc6cc27e0e9386b5d710035ab8531bc2cae854c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002860-n000004-0000-282e1d9998be99bb.parquet",
-      "sha256": "282e1d9998be99bb667106f4a4151482fab10b83099333ae29646fd8a658dfa4",
-      "bytes": 302868,
-      "rows": 17,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002860-n000004-0000-b8e86fae2379b43c.parquet",
-      "sha256": "b8e86fae2379b43c669b5f5efe320010c8a35b1c81f1e75aee29c31dd5e0f1c0",
-      "bytes": 252564,
-      "rows": 9,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002861.lean\",\"2b9f64292e23d59fe4db3a33df0567275c7400fe2be27a86f3c6d195167b7065\",0,\"lean_workbook_plus_26326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002862.lean\",\"382e810feefebee15c50e2f859246612a2da174fc3f738a77baa25f62da57a2a\",0,\"lean_workbook_plus_32749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002863.lean\",\"cee5b8030160bcd3ab25ac80e4de0fbdf14c7a6ae10e80b3e42c29d248f2055f\",0,\"lean_workbook_plus_40579\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302868,
+      "path": "data/train/p77/oproofs-s00002-r00002860-n000004-0000-282e1d9998be99bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "282e1d9998be99bb667106f4a4151482fab10b83099333ae29646fd8a658dfa4"
+    },
+    {
+      "bytes": 252564,
+      "path": "data/internal_test/p77/oproofs-s00002-r00002860-n000004-0000-b8e86fae2379b43c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b8e86fae2379b43c669b5f5efe320010c8a35b1c81f1e75aee29c31dd5e0f1c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002864-n000004.json b/manifests/batches/oproofs/s00002-r00002864-n000004.json
index 7dd46b1ef29522050a74ab2fdbd941cc7b6d7208..20ff865087db542fc00386052052e4b98ebc6623 100644
--- a/manifests/batches/oproofs/s00002-r00002864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002864-n000004",
   "batch_fingerprint": "24bc9e0128596affeb17b0ab67c04c8e4a6028ec2df10013fcae80210790b212",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002864-n000004-0000-ba37d5850a54e8f1.parquet",
-      "sha256": "ba37d5850a54e8f1bda4a45fba5811f6b3d497e134c5ccc2ff2154a12142983b",
-      "bytes": 141621,
-      "rows": 16,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002864-n000004-0000-d5444c7868843efe.parquet",
-      "sha256": "d5444c7868843efea317e01b3376ec6d62afef3168246a3ecfed14f475a044b3",
-      "bytes": 56501,
-      "rows": 5,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002865.lean\",\"ed5c725553a9b2adafdbd9ab172ed045bfc60e40d9927739c686befe55916694\",0,\"lean_workbook_plus_82283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002866.lean\",\"4b9f5083192659dc2c30d4e8db24f433ea937a46632748056dba1cc36bdfce16\",0,\"lean_workbook_plus_13035\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002867.lean\",\"6fe9851084ca8a72f1afbddca31ccd2bb145cba381a586b7a389ad253c3a54ab\",0,\"gcd_three_numbers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141621,
+      "path": "data/train/p61/oproofs-s00002-r00002864-n000004-0000-ba37d5850a54e8f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ba37d5850a54e8f1bda4a45fba5811f6b3d497e134c5ccc2ff2154a12142983b"
+    },
+    {
+      "bytes": 56501,
+      "path": "data/dev/p61/oproofs-s00002-r00002864-n000004-0000-d5444c7868843efe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d5444c7868843efea317e01b3376ec6d62afef3168246a3ecfed14f475a044b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002868-n000004.json b/manifests/batches/oproofs/s00002-r00002868-n000004.json
index 8e9403481b429634e50abbb0a6cfa7a7d34df71e..99c217b627c13859f909f1f342b7c51d8509ccba 100644
--- a/manifests/batches/oproofs/s00002-r00002868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002868-n000004",
   "batch_fingerprint": "e554a08664ba902a81e932f716963982b5c51ab2d7de260385fcc99786151240",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002868-n000004-0000-77939b9fae3921d1.parquet",
-      "sha256": "77939b9fae3921d12200c1d2d9e35654e86a251ff100f6b980d8c5b979a1cc83",
-      "bytes": 214220,
-      "rows": 15,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002869.lean\",\"5e1aa4019bda7e0a32a41a6c39817959e8f6ac81cd521ccb9e57d584d56ff079\",0,\"lean_workbook_plus_37217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002870.lean\",\"a6f6b1153227c8eb729abea9684191b7bb94b9aa5c642acac7cfdf854f7c1be2\",0,\"lean_workbook_plus_59788\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002871.lean\",\"707b37dcfdef7cbe76aa867b5d6c8eea808850d7a0352ac69be99fc686551314\",0,\"treadmill_time_difference\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214220,
+      "path": "data/train/pfe/oproofs-s00002-r00002868-n000004-0000-77939b9fae3921d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "77939b9fae3921d12200c1d2d9e35654e86a251ff100f6b980d8c5b979a1cc83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002872-n000004.json b/manifests/batches/oproofs/s00002-r00002872-n000004.json
index a1225faec980d9baef771be4a45aa0f2f1dd2a36..d57379725cba15631d0287baa281eb557c24fcab 100644
--- a/manifests/batches/oproofs/s00002-r00002872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002872-n000004",
   "batch_fingerprint": "e49dc995be1e5a1a6c6060a21e7ca759dd0d1777a78e8cf34cab4fd19703e628",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002872-n000004-0000-986200afc4f934d9.parquet",
-      "sha256": "986200afc4f934d9490c63f82385b67e12dc7c9247f8bb4fec5f9aac41d6ae0e",
-      "bytes": 238147,
-      "rows": 11,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002872-n000004-0000-bbb5595d75d4c486.parquet",
-      "sha256": "bbb5595d75d4c4867faa31ecbcb825356b9a9e90024cb8af06f2ea9c1106a97f",
-      "bytes": 44563,
-      "rows": 2,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002873.lean\",\"f3ec7fbb0a5853fc972d21ee6e3c1c286acb8708f51f078a533155001c87deca\",0,\"real_roots_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002874.lean\",\"77ed5a6cdc97184c2b8fc2d1e28657e0a6b359bfcfb7c147dc682e367a4396e2\",0,\"lean_workbook_plus_59291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002875.lean\",\"404ddc32594d641388c9d90a835fed8bec76c9f272c89f005ecfde10e9f3c0fe\",0,\"lean_workbook_10549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238147,
+      "path": "data/train/p29/oproofs-s00002-r00002872-n000004-0000-986200afc4f934d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "986200afc4f934d9490c63f82385b67e12dc7c9247f8bb4fec5f9aac41d6ae0e"
+    },
+    {
+      "bytes": 44563,
+      "path": "data/dev/p29/oproofs-s00002-r00002872-n000004-0000-bbb5595d75d4c486.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "bbb5595d75d4c4867faa31ecbcb825356b9a9e90024cb8af06f2ea9c1106a97f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002876-n000004.json b/manifests/batches/oproofs/s00002-r00002876-n000004.json
index 039f2624d9a00a5434fc5eb421912a7243494836..557a3836ff83d31ff2929e7745fb7c5ebfac1607 100644
--- a/manifests/batches/oproofs/s00002-r00002876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002876-n000004",
   "batch_fingerprint": "678d7f3415f10f2c33c3baba03bc4b68ff9c16e5cfe78f1f692ed2e019a6c3ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002876-n000004-0000-f0840b431c6cb201.parquet",
-      "sha256": "f0840b431c6cb201eaac2aae8aee387dd5c815edb2bd44def509524f680a3212",
-      "bytes": 288755,
-      "rows": 23,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2877",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002877.lean\",\"83fed76b69f3d8d93ac009fed5a042f8abed1ee7ba6bb6e4457fd7bfc1959b86\",0,\"lean_workbook_plus_48518\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002878.lean\",\"7ca05822f90d7fdc19f159a42ce1182d75b9e7d5e42fbf8f976789adf22af718\",0,\"lean_workbook_plus_20927\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002879.lean\",\"f6817cb5b814275f54999b304d9640ec44f7b03883a16b7fd24ffd93ae316de6\",0,\"dot_product_max_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288755,
+      "path": "data/train/p82/oproofs-s00002-r00002876-n000004-0000-f0840b431c6cb201.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f0840b431c6cb201eaac2aae8aee387dd5c815edb2bd44def509524f680a3212"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002880-n000004.json b/manifests/batches/oproofs/s00002-r00002880-n000004.json
index a7303db01738affe9c52b46033a840e60682d389..940f2f0aba7543ad17dc7ee331a9c6c32a573f52 100644
--- a/manifests/batches/oproofs/s00002-r00002880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002880-n000004",
   "batch_fingerprint": "178420d8dc1242d9decc227a5767a018b9e6377826565ec0b06dbbda991e3c1a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002880-n000004-0000-0be350eda36af2cb.parquet",
-      "sha256": "0be350eda36af2cbd7adf03d04856c76e3fd665715f64e4e67e7f78152e3437d",
-      "bytes": 103190,
-      "rows": 11,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002880-n000004-0000-c38a6b84ae0215df.parquet",
-      "sha256": "c38a6b84ae0215df9b9de0d92b1400dc34491fc28053a1d1cb5cae3a7bdaacb8",
-      "bytes": 593718,
-      "rows": 14,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002881.lean\",\"f4fe2e61169958b1fde74b70c16ced158ef2600dd60d27373c503fd91321d0ef\",0,\"lean_workbook_plus_35307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002882.lean\",\"2370100b0abae035daedc1f170f2df7222f3821e2ca3d33ebac2fe4ac8cfacf1\",0,\"lean_workbook_40999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002883.lean\",\"1571e1b1c048792ba314e173b9f67369599e27350b721623863748f35f54f8a6\",0,\"lean_workbook_plus_22261\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103190,
+      "path": "data/train/p76/oproofs-s00002-r00002880-n000004-0000-0be350eda36af2cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0be350eda36af2cbd7adf03d04856c76e3fd665715f64e4e67e7f78152e3437d"
+    },
+    {
+      "bytes": 593718,
+      "path": "data/internal_test/p76/oproofs-s00002-r00002880-n000004-0000-c38a6b84ae0215df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c38a6b84ae0215df9b9de0d92b1400dc34491fc28053a1d1cb5cae3a7bdaacb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002884-n000004.json b/manifests/batches/oproofs/s00002-r00002884-n000004.json
index 92ee83ed88880ba32fc21180073726508358c1c7..d9121676632be0f3b2e004466e96e0a35ab7a587 100644
--- a/manifests/batches/oproofs/s00002-r00002884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002884-n000004",
   "batch_fingerprint": "75948652745e5f258f6663ece564ce6384ddf3eee9e53c06c36c5e3a92c26dd0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002884-n000004-0000-6ed9aa7fd7adf433.parquet",
-      "sha256": "6ed9aa7fd7adf433fa8b87242c68397e63118343a2bd2b18923c49d3d8d51ec8",
-      "bytes": 149952,
-      "rows": 15,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002884-n000004-0000-bdda281f966110ef.parquet",
-      "sha256": "bdda281f966110ef73389f1232f31eb97a5223dc7c33f44260c7a1596786a490",
-      "bytes": 52926,
-      "rows": 3,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2885",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002885.lean\",\"aabcc5866fe37acf1aae50d827eefe9155fe87ce2554057147c412bce774d6bb\",0,\"lean_workbook_plus_7490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002886.lean\",\"7c1102be9b9e08d7cbd7de38851d83234f7957d6f05e43410a29e913f68e9b25\",0,\"lean_workbook_plus_41978\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002887.lean\",\"03a8a15a809e1584dfdb578882dd61591fc4bd072ef407e3297a838d3298de26\",0,\"lean_workbook_plus_18995\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149952,
+      "path": "data/train/p7d/oproofs-s00002-r00002884-n000004-0000-6ed9aa7fd7adf433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6ed9aa7fd7adf433fa8b87242c68397e63118343a2bd2b18923c49d3d8d51ec8"
+    },
+    {
+      "bytes": 52926,
+      "path": "data/internal_test/p7d/oproofs-s00002-r00002884-n000004-0000-bdda281f966110ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bdda281f966110ef73389f1232f31eb97a5223dc7c33f44260c7a1596786a490"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002888-n000004.json b/manifests/batches/oproofs/s00002-r00002888-n000004.json
index d62b11f5162e06aad94517919524c885f294e81c..16d42ce6cec3ba6f20c34160601a739a2a1b2081 100644
--- a/manifests/batches/oproofs/s00002-r00002888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002888-n000004",
   "batch_fingerprint": "70d39e2b007f94c78aafb748879523ad5accf6157c18cef9ac0ec22363403cd9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002888-n000004-0000-1129ba03a4eead47.parquet",
-      "sha256": "1129ba03a4eead4737ee055552eee0383d36d5f91c99f78c7f505016a8b13a28",
-      "bytes": 487080,
-      "rows": 18,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002888-n000004-0000-44e76a192ff36f13.parquet",
-      "sha256": "44e76a192ff36f13588921717c2d4de4b9818828473bc542969f5d934c9f06bd",
-      "bytes": 59520,
-      "rows": 5,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002889.lean\",\"ec6b6ac2ca3ff04f7f3df67e9a8d53e9673352025f4b3473059d19c9c2a28c0c\",0,\"lean_workbook_plus_60890\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002890.lean\",\"6d94f2b2b8f7fee956518439c535f2761bde30a14b475191c3c11b13a0dca154\",0,\"lean_workbook_12531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002891.lean\",\"c0f99649cebdd52b7287a242f594b2908a63810fc4db3a8c7a35aa3d513979f5\",0,\"tan_sum_cos_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487080,
+      "path": "data/train/p78/oproofs-s00002-r00002888-n000004-0000-1129ba03a4eead47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1129ba03a4eead4737ee055552eee0383d36d5f91c99f78c7f505016a8b13a28"
+    },
+    {
+      "bytes": 59520,
+      "path": "data/internal_test/p78/oproofs-s00002-r00002888-n000004-0000-44e76a192ff36f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "44e76a192ff36f13588921717c2d4de4b9818828473bc542969f5d934c9f06bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002892-n000004.json b/manifests/batches/oproofs/s00002-r00002892-n000004.json
index f0fc1272c1b7b5a8c9376e52e3ef25b8a2fabd8a..774abe3d740d8dea4857acdbc1bd3fe983573127 100644
--- a/manifests/batches/oproofs/s00002-r00002892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002892-n000004",
   "batch_fingerprint": "58eeff057987ed7652020cc884d2cc4d674a6aa827c309c145be19e4bc587176",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002892-n000004-0000-2ec1e0453d43050b.parquet",
-      "sha256": "2ec1e0453d43050b4872fc67fbdfb66e84b038536f586bbb87fa1d0f78b035eb",
-      "bytes": 187925,
-      "rows": 15,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002893.lean\",\"294008bfbebd7eb44a702eb8a4179ea651a0fab4037c088878a16bd40d188867\",0,\"lean_workbook_plus_2099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002894.lean\",\"22bd808506b4928efcae7775b6923c3e73e434b4f717049dd22074e1df7ecf56\",0,\"lean_workbook_plus_67122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002895.lean\",\"16d2edf02301f83d74392f29f5e8f4c014e15cf706950eb328ed5f9646ba3811\",0,\"lean_workbook_plus_1207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187925,
+      "path": "data/train/p54/oproofs-s00002-r00002892-n000004-0000-2ec1e0453d43050b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2ec1e0453d43050b4872fc67fbdfb66e84b038536f586bbb87fa1d0f78b035eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002896-n000004.json b/manifests/batches/oproofs/s00002-r00002896-n000004.json
index e6fd85619885727c09e3a9202133a590dc0593a6..a2e1cf95e5b9fba0107cbe6ecdfe1936fa917c9d 100644
--- a/manifests/batches/oproofs/s00002-r00002896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002896-n000004",
   "batch_fingerprint": "82638ae4a1e40c48546a35e3d42f67f473c391d1180abf8bb86abeda269a89e3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002896-n000004-0000-2b3580a18d4e46a6.parquet",
-      "sha256": "2b3580a18d4e46a6565aa8abf477e96cec754551ba3aaeabae73825ae03f3707",
-      "bytes": 827139,
-      "rows": 16,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002896-n000004-0000-da1b7aa3b726095c.parquet",
-      "sha256": "da1b7aa3b726095cc43680c392eebca1288df8144d33c93997437ee3960fd9f7",
-      "bytes": 60450,
-      "rows": 5,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002897.lean\",\"c9c7b6ceab855bf2f0cc9c28ce1a184546b12e53c24b5ca699475a88eba61384\",0,\"lean_workbook_plus_18320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002898.lean\",\"3adc72ac9508a287d8cc24375d43f7152e9470dff1df94bab8794267e2ac0998\",0,\"lean_workbook_plus_69773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002899.lean\",\"8826b2bbc5f902911119634ddda48d305b3a2a158542a98518564dbc602a4004\",0,\"lean_workbook_plus_13522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 827139,
+      "path": "data/train/p87/oproofs-s00002-r00002896-n000004-0000-2b3580a18d4e46a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2b3580a18d4e46a6565aa8abf477e96cec754551ba3aaeabae73825ae03f3707"
+    },
+    {
+      "bytes": 60450,
+      "path": "data/internal_test/p87/oproofs-s00002-r00002896-n000004-0000-da1b7aa3b726095c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "da1b7aa3b726095cc43680c392eebca1288df8144d33c93997437ee3960fd9f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002900-n000004.json b/manifests/batches/oproofs/s00002-r00002900-n000004.json
index cb9f7a28ff3c083b9567f55cf5c59a9f9204ff9b..0fe884ca457e4bf869e7282369fb2f3132fca6cd 100644
--- a/manifests/batches/oproofs/s00002-r00002900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002900-n000004",
   "batch_fingerprint": "24897a01276c32860598fb4d97e73a48d765c0ea8f8150177dddfcdb30ac1cd6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002900-n000004-0000-c04a9986202279b3.parquet",
-      "sha256": "c04a9986202279b3d716a6505051ea7786d39f922c3d824d8064b19224cec56f",
-      "bytes": 259586,
-      "rows": 16,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002901.lean\",\"3ea2125a11a58c7536e9bea28dcdfad0d0ab4993887a4979508890150a21913a\",0,\"lean_workbook_plus_10134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002902.lean\",\"bd7b876b22a4fec893519760e1d43c485a0b625bf824380d5cec76677be62896\",0,\"lean_workbook_11039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002903.lean\",\"be845f231f459f6ac7ed462cd750d7b3e7cc63e32f0e27ec079304eef435410c\",0,\"lean_workbook_plus_28385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259586,
+      "path": "data/train/p56/oproofs-s00002-r00002900-n000004-0000-c04a9986202279b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c04a9986202279b3d716a6505051ea7786d39f922c3d824d8064b19224cec56f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002904-n000004.json b/manifests/batches/oproofs/s00002-r00002904-n000004.json
index 01d4a6632bb75d9b3ed7850a56f81bc77940a175..02f85399baf609fb5e97247fbe0ff40c86c1daf7 100644
--- a/manifests/batches/oproofs/s00002-r00002904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002904-n000004",
   "batch_fingerprint": "41ce36a4d23304300a308aaa78510ca29ef307f375c523cb1e9bc5eb8e8089e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002904-n000004-0000-76b785bc0e57e89b.parquet",
-      "sha256": "76b785bc0e57e89b23ac99baa748c805aecac33a25330bc4b6bf61c1780db46e",
-      "bytes": 185522,
-      "rows": 23,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002905.lean\",\"4595125be5a9c2e2f4615118359c5e3a953690324f9d99126c1122e2f4827834\",0,\"lean_workbook_36878\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002906.lean\",\"3b421e047f0248c69e1a4648a706e57c1435723944f12c27d37db260f4d62008\",0,\"lean_workbook_plus_59347\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002907.lean\",\"9f331fdb12cfe76ed7312a5f33a43552fd76c7be0718abaefeb0e084d9d88ed7\",0,\"lean_workbook_plus_8963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185522,
+      "path": "data/train/pb9/oproofs-s00002-r00002904-n000004-0000-76b785bc0e57e89b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "76b785bc0e57e89b23ac99baa748c805aecac33a25330bc4b6bf61c1780db46e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002908-n000004.json b/manifests/batches/oproofs/s00002-r00002908-n000004.json
index 410eb06481eb413368812f7c71a32d72e0c8db65..f7dc6b758317096d42e95a81f29c612e0f87e970 100644
--- a/manifests/batches/oproofs/s00002-r00002908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002908-n000004",
   "batch_fingerprint": "ffaf267080c5b421cd3ddcafdcb7a5c8baba9fe47353c6b01c1fcaed47834340",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002908-n000004-0000-efe248030495e43e.parquet",
-      "sha256": "efe248030495e43e37a41c7ac3416ea27265f46063eaf9bf5547b260c908d301",
-      "bytes": 297607,
-      "rows": 22,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002908-n000004-0000-7fda27be8b6ff2d1.parquet",
-      "sha256": "7fda27be8b6ff2d1cfe0295a7661427b6524e57e36b8b59a33b268223e9f2a58",
-      "bytes": 232565,
-      "rows": 8,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2909",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002909.lean\",\"29bea62ee5b5b7b5308bcdfac5890a184ec127e60427319895b0f8a52c9b24f4\",0,\"lean_workbook_plus_20032\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002910.lean\",\"e6aed3fd23a800719859ebb6e3c468eccbcf4026f27c824da71a255019685b73\",0,\"lean_workbook_plus_25486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002911.lean\",\"8ed8a0f4d093f613bca960cdf4885b89319fba0788e38a7b0455064ee325ce3d\",0,\"lean_workbook_41152\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297607,
+      "path": "data/train/p2e/oproofs-s00002-r00002908-n000004-0000-efe248030495e43e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "efe248030495e43e37a41c7ac3416ea27265f46063eaf9bf5547b260c908d301"
+    },
+    {
+      "bytes": 232565,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00002908-n000004-0000-7fda27be8b6ff2d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7fda27be8b6ff2d1cfe0295a7661427b6524e57e36b8b59a33b268223e9f2a58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002912-n000004.json b/manifests/batches/oproofs/s00002-r00002912-n000004.json
index 200717bdaf52c41acfa686a1396090f4bcff6bc7..24e9c7fef2eb641a7e1fe2c9c0b8a1eccb810d62 100644
--- a/manifests/batches/oproofs/s00002-r00002912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002912-n000004",
   "batch_fingerprint": "66364c48bd6d4b2e198c4d9eef3eade5e4d87418b42d616863721b5df805a369",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002912-n000004-0000-e1359815021df799.parquet",
-      "sha256": "e1359815021df7990251b81ce030aa5e64c84864639827da30dec7851acd5204",
-      "bytes": 437362,
-      "rows": 25,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002913.lean\",\"7848fd0ff18339aa90c82aa307127d2bae2a13bc53065b7b883e15f078f1924f\",0,\"complex_modulus_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002914.lean\",\"84d0d27d11ebc206b99480966444c899c7cc1c428fad5f04b82c40c20fc4c34e\",0,\"lean_workbook_plus_65458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002915.lean\",\"a641555ee07411ca849c11ea09683b71808c7d699452096588c44301b7aa8726\",0,\"lean_workbook_plus_37343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 437362,
+      "path": "data/train/p27/oproofs-s00002-r00002912-n000004-0000-e1359815021df799.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e1359815021df7990251b81ce030aa5e64c84864639827da30dec7851acd5204"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002916-n000004.json b/manifests/batches/oproofs/s00002-r00002916-n000004.json
index 1027f19dbb63c7ae988fe57bbcb4f6eb1981b9aa..7bd939a23be4bb276a0112ccabe471c3f509a959 100644
--- a/manifests/batches/oproofs/s00002-r00002916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002916-n000004",
   "batch_fingerprint": "d77b04eb1710e6970a901a24e901cf68507aec3f93ffb1d9979c98dd4206639e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002916-n000004-0000-c0e6463d08ae725a.parquet",
-      "sha256": "c0e6463d08ae725ac6f805f3a3c015a290db2d0f27c44607be4de1cd24557a85",
-      "bytes": 422892,
-      "rows": 21,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002916-n000004-0000-9f3eb8ff5a0e6fd4.parquet",
-      "sha256": "9f3eb8ff5a0e6fd42cb1502f81fa9121743505b7cf487dd17ce7e9756e10137a",
-      "bytes": 61614,
-      "rows": 4,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002917.lean\",\"2e4c2ca210cffc5f652d633708c4f362ab5badf24cb226f4e88ea37a4408c32f\",0,\"lean_workbook_plus_38737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002918.lean\",\"b2850bd48ff9c8ed1d2649effef2080c73d344829ea5aaff2f6acd41ecde0e32\",0,\"lean_workbook_plus_54882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002919.lean\",\"1ef5d3241112e1a695354e2f7b0beadafee65cafa741d33590cbb27b1f61dee0\",0,\"lean_workbook_11825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422892,
+      "path": "data/train/pd9/oproofs-s00002-r00002916-n000004-0000-c0e6463d08ae725a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c0e6463d08ae725ac6f805f3a3c015a290db2d0f27c44607be4de1cd24557a85"
+    },
+    {
+      "bytes": 61614,
+      "path": "data/dev/pd9/oproofs-s00002-r00002916-n000004-0000-9f3eb8ff5a0e6fd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9f3eb8ff5a0e6fd42cb1502f81fa9121743505b7cf487dd17ce7e9756e10137a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002920-n000004.json b/manifests/batches/oproofs/s00002-r00002920-n000004.json
index 4fdb91aec84b1ce9445b0277e0e85f8165d7d671..5cbbe90b1ce86ee60a20f086b52dda7814126b61 100644
--- a/manifests/batches/oproofs/s00002-r00002920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002920-n000004",
   "batch_fingerprint": "c9cc411fffc118328a3fcfd6de511a79c7e721c8defac33019b64560119021a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002920-n000004-0000-2a3e48e00ae8ddab.parquet",
-      "sha256": "2a3e48e00ae8ddab4e713ae289d309dc76fd59eff57f4e4cfa0de79aebeb2509",
-      "bytes": 275578,
-      "rows": 21,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2921",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002921.lean\",\"1c6f29e8a36d3f0a615ad3a00319bdd431c1a13f307d012a4a139d63597c99db\",0,\"lean_workbook_47000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002922.lean\",\"dba08e8a84c8ccf2b78a808e41a2f42d4f57845d53e4725825f00c76fa64d2d0\",0,\"lean_workbook_plus_30905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002923.lean\",\"1dc5a94ba861819df5c539e40f37c0e76755b498600f5090db14025a9e522ab5\",0,\"fraction_sum_divisibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275578,
+      "path": "data/train/p0f/oproofs-s00002-r00002920-n000004-0000-2a3e48e00ae8ddab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2a3e48e00ae8ddab4e713ae289d309dc76fd59eff57f4e4cfa0de79aebeb2509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002924-n000004.json b/manifests/batches/oproofs/s00002-r00002924-n000004.json
index 1e96b99f5fc5a7ee7b1ab070e2928941618971d8..611e02aecca86c991f48e7d8e6455fd8f4b4660d 100644
--- a/manifests/batches/oproofs/s00002-r00002924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002924-n000004",
   "batch_fingerprint": "a7db4e3c3cd1373d6db09bc4e97316a2b5fb3b4094f0dc16cb3cc1f38f763571",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002924-n000004-0000-e91b3454a5b01c22.parquet",
-      "sha256": "e91b3454a5b01c2287935e3349c97f1d7c39cf2e21bcff1959d033dfc401f923",
-      "bytes": 215495,
-      "rows": 19,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002924-n000004-0000-9fea58d9c0c9a841.parquet",
-      "sha256": "9fea58d9c0c9a841b285b66a9c497e5ab21f71725fbbf9cd259186aec199bdc5",
-      "bytes": 366902,
-      "rows": 8,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2925",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002925.lean\",\"3d0645594b522cd770ea6ce0c772867bf1efdc6b17fc2e6a649cfbd4c0ece3ec\",0,\"lean_workbook_plus_75254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002926.lean\",\"e4aa8462d99e11a5934d8e68de9992d15ca655f94342467073fc73ebc773fb4f\",0,\"lean_workbook_plus_10522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002927.lean\",\"9edefde7c276be9647062f577bbdd60036b6421155a967de02046061eaba2028\",0,\"lean_workbook_plus_17311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215495,
+      "path": "data/train/p55/oproofs-s00002-r00002924-n000004-0000-e91b3454a5b01c22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e91b3454a5b01c2287935e3349c97f1d7c39cf2e21bcff1959d033dfc401f923"
+    },
+    {
+      "bytes": 366902,
+      "path": "data/internal_test/p55/oproofs-s00002-r00002924-n000004-0000-9fea58d9c0c9a841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9fea58d9c0c9a841b285b66a9c497e5ab21f71725fbbf9cd259186aec199bdc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002928-n000004.json b/manifests/batches/oproofs/s00002-r00002928-n000004.json
index ea9c152bc5fe66de5d8b8bfc2e7e92936f1cecfd..37797dec31592f5449e22961f2ea54f41671887f 100644
--- a/manifests/batches/oproofs/s00002-r00002928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002928-n000004",
   "batch_fingerprint": "bc720b167aa865c12bdf8e611c0e79cd7d80f68f5c9ad86750fde12d33756b5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002928-n000004-0000-cd31c8451e6958a2.parquet",
-      "sha256": "cd31c8451e6958a27f5972a14e572d2cdb4e89be180bad17ace38ad5689032de",
-      "bytes": 363417,
-      "rows": 16,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002928-n000004-0000-fee5606a9ebb7a85.parquet",
-      "sha256": "fee5606a9ebb7a85589897fe72b717b792455331dba645350321d8f2c30dfdae",
-      "bytes": 145693,
-      "rows": 8,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2929",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002929.lean\",\"94974301673b298b150adccaa3fe0689cab4420a9326c604ea790c782fae1a60\",0,\"lean_workbook_plus_41449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002930.lean\",\"f51f1d390c0b8f7a09aefddb887723de4e5ff49aedac19522ce7c562cc1ba667\",0,\"lean_workbook_plus_58399\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002931.lean\",\"d5f6278fd2afa97e47c316cbd5679ced43c47e6d7fc778912466eed4fc72f6b8\",0,\"lean_workbook_plus_13260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363417,
+      "path": "data/train/p3d/oproofs-s00002-r00002928-n000004-0000-cd31c8451e6958a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "cd31c8451e6958a27f5972a14e572d2cdb4e89be180bad17ace38ad5689032de"
+    },
+    {
+      "bytes": 145693,
+      "path": "data/internal_test/p3d/oproofs-s00002-r00002928-n000004-0000-fee5606a9ebb7a85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fee5606a9ebb7a85589897fe72b717b792455331dba645350321d8f2c30dfdae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002932-n000004.json b/manifests/batches/oproofs/s00002-r00002932-n000004.json
index a36d123c2123386ab76114bcfb25e059e3e91a7b..c2dd497439b363379b278c5eb76392eed78d9cf5 100644
--- a/manifests/batches/oproofs/s00002-r00002932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002932-n000004",
   "batch_fingerprint": "56dd3c8b5ba7c5891e4852832724eeda018d7bb819c4500736e4744ee5c77a6a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002932-n000004-0000-1284f6a835f86869.parquet",
-      "sha256": "1284f6a835f86869f041202b7bf6bf64776c6809bc14e7363d088623f78c4861",
-      "bytes": 177858,
-      "rows": 15,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002933.lean\",\"8717d0afd7b1f5d7751d00b4362ef1047552a152489262aec5f7f6dc25b38dff\",0,\"lean_workbook_plus_30832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002934.lean\",\"d99ce3a468b9692d4c834a9af2b4baa20582a9245732ba7b96633e541f889661\",0,\"lean_workbook_52588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002935.lean\",\"5a535e755f5fb1bb85e1f49978a1637586584fc35321b15a4c42a425d0034d84\",0,\"lean_workbook_plus_39139\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177858,
+      "path": "data/train/p63/oproofs-s00002-r00002932-n000004-0000-1284f6a835f86869.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1284f6a835f86869f041202b7bf6bf64776c6809bc14e7363d088623f78c4861"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002936-n000004.json b/manifests/batches/oproofs/s00002-r00002936-n000004.json
index b197ab10e5cc0cf9fcf515ae0f9bc8f356ae2ef3..85c51488dde502e72d89bdba321da8e3a28cefba 100644
--- a/manifests/batches/oproofs/s00002-r00002936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002936-n000004",
   "batch_fingerprint": "a537f0eea2b4134c2fc6cde440085b4cb79182e83a37b6f38fb4de5d21c1b2c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002936-n000004-0000-29991d8bfd64929f.parquet",
-      "sha256": "29991d8bfd64929f0e039532fb760ab72b57ac9fa2df0f5c926bb502284461d8",
-      "bytes": 258071,
-      "rows": 16,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002936-n000004-0000-1b4f1d5bc5ccce97.parquet",
-      "sha256": "1b4f1d5bc5ccce97a7dcb834429731c1775d7feaa4a8640befa66485ece9c156",
-      "bytes": 189240,
-      "rows": 7,
-      "revision": "e2c668f466afad8d4381551a51897d07dc9b9b51"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002937.lean\",\"048a1b219f65c730e2639c4aa7b924561e20a89e9a95f29108779702ddc9562b\",0,\"lean_workbook_52465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002938.lean\",\"0f07b79430bdb76e27d8dc1eb2dfa5a3ac4625a110e12251d5f84c0b3281c6e8\",0,\"lean_workbook_plus_32749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002939.lean\",\"eb97c5d896d56a8725d2b126b8d87f82d3336e57ddd5cd4c42f533c733f1b0d1\",0,\"lean_workbook_plus_40579\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258071,
+      "path": "data/train/pe3/oproofs-s00002-r00002936-n000004-0000-29991d8bfd64929f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "29991d8bfd64929f0e039532fb760ab72b57ac9fa2df0f5c926bb502284461d8"
+    },
+    {
+      "bytes": 189240,
+      "path": "data/internal_test/pe3/oproofs-s00002-r00002936-n000004-0000-1b4f1d5bc5ccce97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1b4f1d5bc5ccce97a7dcb834429731c1775d7feaa4a8640befa66485ece9c156"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002940-n000004.json b/manifests/batches/oproofs/s00002-r00002940-n000004.json
index 02e3be17000421f4247a08cd846977133c2f7af6..4676b5650f1e506ccca27952313ad5b6b94e9e00 100644
--- a/manifests/batches/oproofs/s00002-r00002940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002940-n000004",
   "batch_fingerprint": "2afb34e3dd75bf41fcef03ac3fc1bbb04811b33e84a2f4e33ad60ef8c3e6f758",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002940-n000004-0000-75efe32308ffd8be.parquet",
-      "sha256": "75efe32308ffd8be3b2187c0c410f7d46ce99a7d9029542c6bda69fa24b0c57b",
-      "bytes": 176005,
-      "rows": 18,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002940-n000004-0000-170ccc3474d2beef.parquet",
-      "sha256": "170ccc3474d2beef47b327b5d8ff44bf18e124b1cd102d81f801817201606f23",
-      "bytes": 52935,
-      "rows": 6,
-      "revision": "0d7afe30c679faab77e74e6a480a3fd8f0fee3d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002941.lean\",\"fabbe858d6149c4481e6680d6618f1fb6620181b5873ed443ede7b06feadb175\",0,\"lean_workbook_plus_82283\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002942.lean\",\"b294204328776dcf8556ab6892acb4d4b617a52417825660ea3bbd30e50eb4a5\",0,\"lean_workbook_plus_13035\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002943.lean\",\"d80a3b7dc3c9b5f4562faf742361733f869aef6e280a5ce320da5143d6fa35ad\",0,\"lean_workbook_plus_59993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176005,
+      "path": "data/train/p2e/oproofs-s00002-r00002940-n000004-0000-75efe32308ffd8be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "75efe32308ffd8be3b2187c0c410f7d46ce99a7d9029542c6bda69fa24b0c57b"
+    },
+    {
+      "bytes": 52935,
+      "path": "data/dev/p2e/oproofs-s00002-r00002940-n000004-0000-170ccc3474d2beef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "170ccc3474d2beef47b327b5d8ff44bf18e124b1cd102d81f801817201606f23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002944-n000004.json b/manifests/batches/oproofs/s00002-r00002944-n000004.json
index bcf8e81d109777e7ea56b6569fa5245ca50b6f3b..004a0895e37215e3163bd7262a8846586dc827de 100644
--- a/manifests/batches/oproofs/s00002-r00002944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002944-n000004",
   "batch_fingerprint": "9a569b1680bd2fa7dbb6f690d14f9f3baa5e16b5c43a77112d0f0d3945b82bf0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002944-n000004-0000-9f28a8e0bca1dc0d.parquet",
-      "sha256": "9f28a8e0bca1dc0dad721f58f298381b2bc482c60e58a8da17a6ea86e39260e7",
-      "bytes": 427495,
-      "rows": 25,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002945.lean\",\"f4e0eb4c28f9a83ea4b82ac60e2fe0f2cb64499f5df20a25afe361e0be1f584a\",0,\"zero_in_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002946.lean\",\"397914bd61fa79204cba0f88672ffe51162051b4c0b919dab0cfb6ba47e3364e\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002947.lean\",\"b2486b4e9815253139b7630e03eb6ad5c9cd2b1b9825295e3b7f74a7bfbc7bec\",0,\"integral_solution_unique\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 427495,
+      "path": "data/train/p93/oproofs-s00002-r00002944-n000004-0000-9f28a8e0bca1dc0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9f28a8e0bca1dc0dad721f58f298381b2bc482c60e58a8da17a6ea86e39260e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002948-n000004.json b/manifests/batches/oproofs/s00002-r00002948-n000004.json
index 265e531805ef6d20e13686b7e5c9fbb1f0249ed2..af72408c6e364cd9edeba34b5bc0254d5f6eacd0 100644
--- a/manifests/batches/oproofs/s00002-r00002948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002948-n000004",
   "batch_fingerprint": "8816921a79c8afc57fa012edf93ba0a1ef4ab0a1140604cddd6c77e9997f9f2e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002948-n000004-0000-c6372814ef50ea5f.parquet",
-      "sha256": "c6372814ef50ea5f1a9be825d8128cc93bf2e5387d9315f6e61bed05e070021b",
-      "bytes": 924988,
-      "rows": 20,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2949",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002949.lean\",\"45c3548b413483432060c64cade8bde1c575d81a89ace3a29830c89acac959d8\",0,\"prob_A_and_B_in_Position_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002950.lean\",\"3f159e3ea6145237ab73a658c8d08ef90827a52d57a2c0a44b76320d96545e13\",0,\"real_roots_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002951.lean\",\"3ed9e9e1ebdd7d628da389e17b301b98601f5e9e5d4f2a1b2a416047f288f26c\",0,\"law_of_cosines\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 924988,
+      "path": "data/train/p2d/oproofs-s00002-r00002948-n000004-0000-c6372814ef50ea5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c6372814ef50ea5f1a9be825d8128cc93bf2e5387d9315f6e61bed05e070021b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002952-n000004.json b/manifests/batches/oproofs/s00002-r00002952-n000004.json
index 7d9acf3dcb85cce0549b5ba3b86bbc868a8d05c7..343a484b3442020c1f5c301acfbce5d845d0ab18 100644
--- a/manifests/batches/oproofs/s00002-r00002952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002952-n000004",
   "batch_fingerprint": "ebcd4860a1f10c4d2adaf000e027cb909879a0d47b683cb3a300323fccc0c7e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002952-n000004-0000-d3e4f67866c74c06.parquet",
-      "sha256": "d3e4f67866c74c0699a2cb9eb97a846596524efc1d6f3c8ac560ba65f7872b3a",
-      "bytes": 298663,
-      "rows": 18,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002953.lean\",\"f1ab91284ad4b422ad08b9a64e767154a781ead3c23249e541899952a3ff9031\",0,\"lean_workbook_plus_64936\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002954.lean\",\"ceb0fdd2b1c530e07e92901309126060fa91dd23ed816394b7f518b175250c3c\",0,\"lean_workbook_plus_15831\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002955.lean\",\"21bc075feca69dfff330e05555db9cbcc9204593a090d06bd6268d60bc943dfe\",0,\"lean_workbook_plus_35307\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298663,
+      "path": "data/train/pa2/oproofs-s00002-r00002952-n000004-0000-d3e4f67866c74c06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d3e4f67866c74c0699a2cb9eb97a846596524efc1d6f3c8ac560ba65f7872b3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002956-n000004.json b/manifests/batches/oproofs/s00002-r00002956-n000004.json
index 223fd569cc776bd80c16edf6c50eb1ad25b0d90d..bb3fc9fe86320443bd474a3e3960e5aa681b1dbc 100644
--- a/manifests/batches/oproofs/s00002-r00002956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002956-n000004",
   "batch_fingerprint": "36d41c0cdbe9c2b52a7c26108a3a08cf9170439491bf27f788e88752d3b4ae59",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002956-n000004-0000-b2688f8a2814611b.parquet",
-      "sha256": "b2688f8a2814611bccd71e8f31ba4fa5ac49329ec3f664618dbd6960b4bfa889",
-      "bytes": 281927,
-      "rows": 19,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002956-n000004-0000-6b8134d2de6bd060.parquet",
-      "sha256": "6b8134d2de6bd060997f3abbe809cad99986c5ab497fb19293ca3e23ee02ba3c",
-      "bytes": 632720,
-      "rows": 17,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002957.lean\",\"61be36d2a6dc116dc99a741e34ea981fbebac627cead94db0cbe73867d49c546\",0,\"lean_workbook_40999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002958.lean\",\"b368f76e0261770013778930ebf4676dc023a9e79725ebf266c35bd9426cf607\",0,\"dot_product_max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002959.lean\",\"304d3f00fbc9a9e24cdc340faeaa4f39a625095d64a00db7647e443fdfbe5b73\",0,\"lean_workbook_plus_26838\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281927,
+      "path": "data/train/p4a/oproofs-s00002-r00002956-n000004-0000-b2688f8a2814611b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b2688f8a2814611bccd71e8f31ba4fa5ac49329ec3f664618dbd6960b4bfa889"
+    },
+    {
+      "bytes": 632720,
+      "path": "data/internal_test/p4a/oproofs-s00002-r00002956-n000004-0000-6b8134d2de6bd060.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6b8134d2de6bd060997f3abbe809cad99986c5ab497fb19293ca3e23ee02ba3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002960-n000004.json b/manifests/batches/oproofs/s00002-r00002960-n000004.json
index db8be62030b3c234e750dbe3c85c3d43a7109264..33e6ffff0835a72d0bbad363c62cac8fda8640fd 100644
--- a/manifests/batches/oproofs/s00002-r00002960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002960-n000004",
   "batch_fingerprint": "67dcdc1317a714c73c39bcb50bff4182bfae9f09ce2697b3a3aba7cff00bbb86",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002960-n000004-0000-6b065c7a754c9a3f.parquet",
-      "sha256": "6b065c7a754c9a3f9d016807fbdb546f1aa7c69e78e97a74a63a0707d3b87760",
-      "bytes": 108027,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002960-n000004-0000-b2fc7a5caf7347a9.parquet",
-      "sha256": "b2fc7a5caf7347a9fb01d36c74e0df981664b7b6b08867d2f80af1996756657f",
-      "bytes": 44024,
-      "rows": 3,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002961.lean\",\"f4ad17e86e689a080cd038fa1ee2d60f2f327185256897dd2f1b50e256fbec08\",0,\"lean_workbook_plus_18995\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002962.lean\",\"18296f0c7a598ec26a963574b570986fcab705aafe6b9dc964ff08cad9193a46\",0,\"lean_workbook_plus_38330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002963.lean\",\"4bb2449cc7486d088d54c748f341ca1247c32c7c394d5510f7d27dd693ece12d\",1,\"function_min_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108027,
+      "path": "data/train/p80/oproofs-s00002-r00002960-n000004-0000-6b065c7a754c9a3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6b065c7a754c9a3f9d016807fbdb546f1aa7c69e78e97a74a63a0707d3b87760"
+    },
+    {
+      "bytes": 44024,
+      "path": "data/internal_test/p80/oproofs-s00002-r00002960-n000004-0000-b2fc7a5caf7347a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b2fc7a5caf7347a9fb01d36c74e0df981664b7b6b08867d2f80af1996756657f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002964-n000004.json b/manifests/batches/oproofs/s00002-r00002964-n000004.json
index ed667ff683e8272aac973adf958aa0047a4262cd..e640d6952c6ee30dc765d99ee4ff26aab04c3bc1 100644
--- a/manifests/batches/oproofs/s00002-r00002964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002964-n000004",
   "batch_fingerprint": "fc1dff62437ce3e86f233e0d520d038ca9ab132bc653437d4e3c9832a126d7ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002964-n000004-0000-6f50a0ffbf00aa3c.parquet",
-      "sha256": "6f50a0ffbf00aa3c2889e322b82a7352dd51da43bc9f61c8b26ba1f7824dd150",
-      "bytes": 114222,
-      "rows": 19,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002965.lean\",\"e3ba7134ca1b9670d8cf876ac9755e18339e601979d77e78a28be12798ed5d16\",0,\"lean_workbook_plus_2099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002966.lean\",\"13bd1c16e80e91bc8ad5a536b8a80b7c1bd79f20a44388a5dcf91901308a0ed8\",0,\"lean_workbook_plus_67122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002967.lean\",\"c4b50ea175febf6946c9a6880e40dd7c6ef15ca1566cbe5d91802686497bd59a\",1,\"sum_of_solutions\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114222,
+      "path": "data/train/p9f/oproofs-s00002-r00002964-n000004-0000-6f50a0ffbf00aa3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6f50a0ffbf00aa3c2889e322b82a7352dd51da43bc9f61c8b26ba1f7824dd150"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002968-n000004.json b/manifests/batches/oproofs/s00002-r00002968-n000004.json
index 58d5ec9b0366e3c172df5483f2d71c07d2202b33..eef151e66a57be21e389235b40790646cefd1807 100644
--- a/manifests/batches/oproofs/s00002-r00002968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002968-n000004",
   "batch_fingerprint": "604c2632816b3173305904d5fb45f4c397a9844996db055be936ff7bdf863a05",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002968-n000004-0000-ff47ac225d8dfe37.parquet",
-      "sha256": "ff47ac225d8dfe372e887021d7b8c7902bf508ad9e2d50b0c98fe55ae3aea95c",
-      "bytes": 117308,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002968-n000004-0000-ba4aab3d90c603cb.parquet",
-      "sha256": "ba4aab3d90c603cbef5b281b098559533c3c2c87af2bcc6bbd1478122fefcfa4",
-      "bytes": 71544,
-      "rows": 6,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002969.lean\",\"be534578748c844fe1e2dfab4f372862120ec519847dea246ddf968a111bf623\",0,\"lean_workbook_plus_1207\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002970.lean\",\"0b685ae2f51321bf1f1e81c947569a3824871a2f49319e96c990093b874dfe03\",0,\"lean_workbook_plus_18320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002971.lean\",\"973f571624ae1997128c9e60b74910b2e2b74749bcbbde6f30443883be7fc524\",0,\"lean_workbook_plus_13522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117308,
+      "path": "data/train/p05/oproofs-s00002-r00002968-n000004-0000-ff47ac225d8dfe37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ff47ac225d8dfe372e887021d7b8c7902bf508ad9e2d50b0c98fe55ae3aea95c"
+    },
+    {
+      "bytes": 71544,
+      "path": "data/internal_test/p05/oproofs-s00002-r00002968-n000004-0000-ba4aab3d90c603cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ba4aab3d90c603cbef5b281b098559533c3c2c87af2bcc6bbd1478122fefcfa4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002972-n000004.json b/manifests/batches/oproofs/s00002-r00002972-n000004.json
index 8f41cf941920e7bd97816e22a98fa06413c5ecb9..4de857ecbaf255e374f921ebfeb09f2e61ce226e 100644
--- a/manifests/batches/oproofs/s00002-r00002972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002972-n000004",
   "batch_fingerprint": "12a5bd580e0210ce12570229bf5fe26bb4c8ae4a37abfa03a693d1fdd9a8ecc6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002972-n000004-0000-48f753ffe987d525.parquet",
-      "sha256": "48f753ffe987d525dd5a49ad0ead070cc287ac3f53d191a09d6e0e033bc753f3",
-      "bytes": 506687,
-      "rows": 19,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002973.lean\",\"815b4ad4ad3465d0e674c658238584b5d8e2c540f1c1f8308b5f74c1966ffd6b\",0,\"domain_intersection_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002974.lean\",\"11020ba51937bc94b263b319b14ad70b783dc786670bfa57174138fdd8cdcb14\",0,\"lean_workbook_plus_28385\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002975.lean\",\"e38a1de8f0c7141ff201c771226cbe6f5172d44c816d71e7673b46bad5ea51bf\",0,\"lean_workbook_36878\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506687,
+      "path": "data/train/pdc/oproofs-s00002-r00002972-n000004-0000-48f753ffe987d525.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "48f753ffe987d525dd5a49ad0ead070cc287ac3f53d191a09d6e0e033bc753f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002976-n000004.json b/manifests/batches/oproofs/s00002-r00002976-n000004.json
index cb1a34d09c1b4c12cb632e5a9e3c3f0a4f13489e..573cb7c220d870499270ee0ee685f487a6714c10 100644
--- a/manifests/batches/oproofs/s00002-r00002976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002976-n000004",
   "batch_fingerprint": "2afc9c4dfaeb32bae0567e0ce678c72520a1a8ae6da885e8b23ff1b0100f9cea",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002976-n000004-0000-e64242d95c77c14a.parquet",
-      "sha256": "e64242d95c77c14a93378713abd2b21de1782c04a747bcee45ff01d0a5947ca0",
-      "bytes": 193918,
-      "rows": 19,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002977.lean\",\"e58b65f160e0010686b654d478b2d24a871d670928fc770a51e1144ffb7503f7\",0,\"lean_workbook_plus_59347\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002978.lean\",\"31a41a53a7dcd96006f3c1cdb5109395f89c8c642f08f96d25d631a61dd0935f\",0,\"lean_workbook_11039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002979.lean\",\"52be7af62326a3faaa5222dce5657867e48f317ebaf2681bf9db27165c44bfb8\",0,\"lean_workbook_22990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193918,
+      "path": "data/train/p61/oproofs-s00002-r00002976-n000004-0000-e64242d95c77c14a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e64242d95c77c14a93378713abd2b21de1782c04a747bcee45ff01d0a5947ca0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002980-n000004.json b/manifests/batches/oproofs/s00002-r00002980-n000004.json
index 6f4dcbbe0d1f89b2b2318e5b9730bedc326afb57..290156af735b22f419f53748d54ca2b520b756f7 100644
--- a/manifests/batches/oproofs/s00002-r00002980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002980-n000004",
   "batch_fingerprint": "478708b97e7a1a2e15e3633f95a1ba0b2443a3ecaa9a4e3ef402952e79f3446b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002980-n000004-0000-2c225043c2a5980a.parquet",
-      "sha256": "2c225043c2a5980a0d8430d026025e0714e8c7876396037450673135d164e5a0",
-      "bytes": 818356,
-      "rows": 16,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00002980-n000004-0001-a4f5cd7b1125e7c5.parquet",
-      "sha256": "a4f5cd7b1125e7c54416ba83dccdcfc375dd37a9a81dac40489f097a34a2bfb9",
-      "bytes": 651985,
-      "rows": 19,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2981",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002981.lean\",\"ab3fd8b3e4757db91a6509589219dbe93e9283b1a5dd1af205363134608fa92b\",0,\"lean_workbook_54279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002982.lean\",\"df7e8cad4789ce6dea8b2d9e7815fbd97dd127605f0d6f22da4c64abfb859d36\",0,\"lean_workbook_plus_69773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002983.lean\",\"86f618a4f5e8a2e1aa43b904d47658621299db4aebd2081fe2e523f16df01a4f\",0,\"lean_workbook_plus_5952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 818356,
+      "path": "data/train/pf7/oproofs-s00002-r00002980-n000004-0000-2c225043c2a5980a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2c225043c2a5980a0d8430d026025e0714e8c7876396037450673135d164e5a0"
+    },
+    {
+      "bytes": 651985,
+      "path": "data/train/pf7/oproofs-s00002-r00002980-n000004-0001-a4f5cd7b1125e7c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a4f5cd7b1125e7c54416ba83dccdcfc375dd37a9a81dac40489f097a34a2bfb9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002984-n000004.json b/manifests/batches/oproofs/s00002-r00002984-n000004.json
index 176f2e288ae6b709b00affd267364f279fe641e7..c1b8a33930283325711f05d5765263b5e1f908a0 100644
--- a/manifests/batches/oproofs/s00002-r00002984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002984-n000004",
   "batch_fingerprint": "5ad49c19d1981cce061a10d65a1708ebe603a3b6f258b34965a400ad7e371fd3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002984-n000004-0000-e2b03d0e3208a37e.parquet",
-      "sha256": "e2b03d0e3208a37eb8ea7d06ffa8edfd5f002875448dfef37b9f147b8d6107af",
-      "bytes": 558538,
-      "rows": 19,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00002984-n000004-0000-94c55a8c16953acf.parquet",
-      "sha256": "94c55a8c16953acf66ec217c52e8ca559178136fdca35d5ff7eb62b377be8b6c",
-      "bytes": 154477,
-      "rows": 5,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2985",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002985.lean\",\"49d13e02f0930007dcede7feb6ca586c9d2f44ecf728e7dcae7cea5244a2a3cd\",0,\"lean_workbook_plus_73249\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002986.lean\",\"bb08159c4489e6c9d9ac451cd47b609dc6b83cedad74718e00c7a9fec294a15e\",0,\"lean_workbook_plus_25486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002987.lean\",\"525cd6366890c8fcf6d4e24805cbc7d738cf5ce377a82718633842f1007e3e43\",0,\"lean_workbook_41152\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558538,
+      "path": "data/train/p5e/oproofs-s00002-r00002984-n000004-0000-e2b03d0e3208a37e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e2b03d0e3208a37eb8ea7d06ffa8edfd5f002875448dfef37b9f147b8d6107af"
+    },
+    {
+      "bytes": 154477,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00002984-n000004-0000-94c55a8c16953acf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "94c55a8c16953acf66ec217c52e8ca559178136fdca35d5ff7eb62b377be8b6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002988-n000004.json b/manifests/batches/oproofs/s00002-r00002988-n000004.json
index cc48e85ec4beecbac00f3aaf72a9b05ac416b360..d37583d727606d684683528edb7445fd4dbc9299 100644
--- a/manifests/batches/oproofs/s00002-r00002988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002988-n000004",
   "batch_fingerprint": "6ea65c8382f587249bc6219999224661fcbdcdfc11bb112c31be9554378bdd00",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002988-n000004-0000-d95e97fb442c5e11.parquet",
-      "sha256": "d95e97fb442c5e11689b156feea1baee3d79e135de58d8c496f5fe4d4c2af210",
-      "bytes": 183677,
-      "rows": 24,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002989.lean\",\"f7da9f6ba1f74b7b1cc6fa0d9bbbcbdf8aa7ea378440c740056a11ae01e35b75\",0,\"lean_workbook_plus_38505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002990.lean\",\"2b907f02857e79fb718a98731f67475f08312be3f2f80b8349c11128e39ea0fa\",0,\"lean_workbook_plus_38737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002991.lean\",\"55fb9dc1c657e2dc0ee856dd5ef5cd114c5b50fc3c295227c4fde18135108005\",0,\"ellipse_triangle_area_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183677,
+      "path": "data/train/p8f/oproofs-s00002-r00002988-n000004-0000-d95e97fb442c5e11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d95e97fb442c5e11689b156feea1baee3d79e135de58d8c496f5fe4d4c2af210"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002992-n000004.json b/manifests/batches/oproofs/s00002-r00002992-n000004.json
index 716c50750659e10cdd5b1abbd5114b3563474e60..9e35873490fc576fb534135d9ab28cdccde90084 100644
--- a/manifests/batches/oproofs/s00002-r00002992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002992-n000004",
   "batch_fingerprint": "189b51edf47cbd16ed8aa5907602cc5171a1ec3758a325a6ef534d307f425e92",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002992-n000004-0000-6fd5ce1bc92ee8a1.parquet",
-      "sha256": "6fd5ce1bc92ee8a1179a363f66839d8f51a05323d8c223a775592eb23fb3fc91",
-      "bytes": 533869,
-      "rows": 19,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002992-n000004-0000-34db84984cbc3bba.parquet",
-      "sha256": "34db84984cbc3bbaae503c4367eefb7bd19cdc4d6e4561a5979537b0c3627d26",
-      "bytes": 56307,
-      "rows": 4,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002993.lean\",\"50b2d5cc4f5774da3b16f6351885e37776d3644254bd83258b0fd55096f2bcf2\",0,\"lean_workbook_plus_51018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002994.lean\",\"02e9ad28f354395ba4fed3a80aabb51213dbad399c23f7adb4658d917d43ec9d\",0,\"lean_workbook_plus_54882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002995.lean\",\"58250c5f49c1f8dd29f1ed832a71a1d9a143c7e481147b5615523df1cbd51252\",0,\"lean_workbook_plus_37343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533869,
+      "path": "data/train/p45/oproofs-s00002-r00002992-n000004-0000-6fd5ce1bc92ee8a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6fd5ce1bc92ee8a1179a363f66839d8f51a05323d8c223a775592eb23fb3fc91"
+    },
+    {
+      "bytes": 56307,
+      "path": "data/dev/p45/oproofs-s00002-r00002992-n000004-0000-34db84984cbc3bba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "34db84984cbc3bbaae503c4367eefb7bd19cdc4d6e4561a5979537b0c3627d26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00002996-n000004.json b/manifests/batches/oproofs/s00002-r00002996-n000004.json
index e39c742ae6488434e5655f542bf75a32ec05af56..2969274738757f38ed82c0c7e3c305faaa72caf4 100644
--- a/manifests/batches/oproofs/s00002-r00002996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00002996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00002996-n000004",
   "batch_fingerprint": "9d5c770aed32e2381cc92abd013082d9cc7bd9a9ee4ec60cae26fa170afd2fab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00002996-n000004-0000-ab259a84586ea9d1.parquet",
-      "sha256": "ab259a84586ea9d1dee98c3863a5277e9ec5dd6a2a682b21f1258cc0a610c8cb",
-      "bytes": 132198,
-      "rows": 10,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00002996-n000004-0000-554af5d443f701c1.parquet",
-      "sha256": "554af5d443f701c149d430cff1effe6b7814ff9246c7466503d8563c1fbf6b5d",
-      "bytes": 87502,
-      "rows": 7,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:2997",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002997.lean\",\"9bc60ad4a6cf63094c8c2f1b7a4a459843410205f5bdce7fefcec4421a0115a2\",0,\"lean_workbook_plus_23310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002998.lean\",\"74a876ae26658c9c2b2047f802f6081198f5b9cd36614f12ebd34859e195e765\",0,\"lean_workbook_47000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_002999.lean\",\"26f767c60c40fb1f641ffb69b30df85ccfa81642db95927a705792f472d38afe\",0,\"lean_workbook_plus_30905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132198,
+      "path": "data/train/p66/oproofs-s00002-r00002996-n000004-0000-ab259a84586ea9d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ab259a84586ea9d1dee98c3863a5277e9ec5dd6a2a682b21f1258cc0a610c8cb"
+    },
+    {
+      "bytes": 87502,
+      "path": "data/dev/p66/oproofs-s00002-r00002996-n000004-0000-554af5d443f701c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "554af5d443f701c149d430cff1effe6b7814ff9246c7466503d8563c1fbf6b5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003000-n000004.json b/manifests/batches/oproofs/s00002-r00003000-n000004.json
index f0b286dca467977a40da75d5dca6a8ad961f0b35..75e154d4be030705ebe4936472f3cf0602e59a3c 100644
--- a/manifests/batches/oproofs/s00002-r00003000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003000-n000004",
   "batch_fingerprint": "494bbdb3967d18a8f22aae3340d7526aed221c3da52f4393433b154e426d469f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003000-n000004-0000-a4fcfce4af9b2126.parquet",
-      "sha256": "a4fcfce4af9b21268a247cdbdf4402e5dda7950a8d21e88831e79b863df47d1c",
-      "bytes": 434149,
-      "rows": 23,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003000-n000004-0000-52164e7229db8b3a.parquet",
-      "sha256": "52164e7229db8b3a0307fac73753c367af78aeb5223ebe44a63de754795a174f",
-      "bytes": 104175,
-      "rows": 4,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3001",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003001.lean\",\"7769766af0563b04a9b531b40e6b18fe00b4522f58a3f51af0d9107aa65fe9fd\",0,\"lean_workbook_plus_57230\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003002.lean\",\"f744cef6fceaa0acbffa43443cac9f3778ebd60d21f221b20c0d8d1541ca3846\",0,\"lean_workbook_plus_31042\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003003.lean\",\"f088b5ea0285e5a952ab83efeb991125f985af82e371a1d05a98aff91d5269c4\",0,\"lean_workbook_plus_75254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434149,
+      "path": "data/train/p54/oproofs-s00002-r00003000-n000004-0000-a4fcfce4af9b2126.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "a4fcfce4af9b21268a247cdbdf4402e5dda7950a8d21e88831e79b863df47d1c"
+    },
+    {
+      "bytes": 104175,
+      "path": "data/internal_test/p54/oproofs-s00002-r00003000-n000004-0000-52164e7229db8b3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "52164e7229db8b3a0307fac73753c367af78aeb5223ebe44a63de754795a174f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003004-n000004.json b/manifests/batches/oproofs/s00002-r00003004-n000004.json
index 1dd54d786a5394282efff1121b234c54affa0bdf..9ab6dd290a75bb5aafdb8cc5bd10a9d6bd260976 100644
--- a/manifests/batches/oproofs/s00002-r00003004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003004-n000004",
   "batch_fingerprint": "94098e7c1d2d6e026ee4e180937483268dbeb1da342c75f5de95ffc5ce0db2d7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003004-n000004-0000-e4314021e991478f.parquet",
-      "sha256": "e4314021e991478ffd8a7cd8d9bd932870d67f97cdd8b847497e8fb0f114ff71",
-      "bytes": 299065,
-      "rows": 18,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3005",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003005.lean\",\"25fecaaf8d678af25f680ad2b4f05104e105d7edb23660942f1d89913c26f8d4\",0,\"lean_workbook_plus_41449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003006.lean\",\"4ac1711d7dd5565880e24b5b49b318c373f8dd4f7fa3ad88d50a1c66d13b27c6\",0,\"lean_workbook_plus_10522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003007.lean\",\"ed6a35df4dd76be2ec7b8a3f4bb1647ea317f2ccc52a413901b28568e0a916d3\",0,\"lean_workbook_plus_30832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299065,
+      "path": "data/train/p22/oproofs-s00002-r00003004-n000004-0000-e4314021e991478f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e4314021e991478ffd8a7cd8d9bd932870d67f97cdd8b847497e8fb0f114ff71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003008-n000004.json b/manifests/batches/oproofs/s00002-r00003008-n000004.json
index 4bd19e0fcdd8be1459d7a3f0ea3ae3e4e7c4abeb..49eb8d8706e89cfbf1d57ed9b77f680bfdc4cb9e 100644
--- a/manifests/batches/oproofs/s00002-r00003008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003008-n000004",
   "batch_fingerprint": "4bade6a04738280defa49e8500a6bbe6bc68782e0594d1b75d040bfb0352f187",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003008-n000004-0000-32fefa3dd725bcdd.parquet",
-      "sha256": "32fefa3dd725bcdd3b2965c6e4d996eedac97c67c996e05340ba2db24ac2ee16",
-      "bytes": 251910,
-      "rows": 17,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003008-n000004-0000-43bf226e0837a538.parquet",
-      "sha256": "43bf226e0837a53835b1338ef1912eac065990f4721552fa8dc20e7ce9b774b7",
-      "bytes": 276607,
-      "rows": 10,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003009.lean\",\"30e8b762ef10f2c4d3f7e66b81f4826b525402bc81f7721ab59b00de2d140794\",0,\"lean_workbook_plus_39139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003010.lean\",\"d5e9d72493276b9c768b287443aed152649a1a249b9100fe7a0b216433d6b244\",0,\"ln_plus_x_solution_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003011.lean\",\"907299f5a5c0b227bf37a83a77aeefb9788e89d2890130b8d2f7ff872f9f8210\",0,\"lean_workbook_52465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251910,
+      "path": "data/train/pf6/oproofs-s00002-r00003008-n000004-0000-32fefa3dd725bcdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "32fefa3dd725bcdd3b2965c6e4d996eedac97c67c996e05340ba2db24ac2ee16"
+    },
+    {
+      "bytes": 276607,
+      "path": "data/internal_test/pf6/oproofs-s00002-r00003008-n000004-0000-43bf226e0837a538.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "43bf226e0837a53835b1338ef1912eac065990f4721552fa8dc20e7ce9b774b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003012-n000004.json b/manifests/batches/oproofs/s00002-r00003012-n000004.json
index 96dc8c064e3348beb325760ca0001a4a6f86f83b..d9064efdc1e5b3de95098822a9e9cd1876b7fb8b 100644
--- a/manifests/batches/oproofs/s00002-r00003012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003012-n000004",
   "batch_fingerprint": "392b907ea3d97e17685f597f5f9e8397595b3800554026797bc0237ebd735f0e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003012-n000004-0000-d26933a5ab5545fd.parquet",
-      "sha256": "d26933a5ab5545fdf4b30d37db089a34be76657b4f66c8e9c7ab03f05d1c8434",
-      "bytes": 167035,
-      "rows": 9,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003012-n000004-0000-395f88c2dbca9395.parquet",
-      "sha256": "395f88c2dbca9395b6e15fd85fab46400b1146ede3ce117c6eb4b1b6140b4bee",
-      "bytes": 50446,
-      "rows": 5,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003013.lean\",\"b8c7d1101fa139b4a52e2ceefddd79a13d64e93db962862a81da1ff8ff34eca7\",0,\"lean_workbook_plus_40579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003014.lean\",\"531cce53f8cb7e7e2b3984debc777dbea7c6b1992bbda16c4b07307da1ca92ff\",0,\"lean_workbook_plus_32749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003015.lean\",\"f390a2f522a25c17b5319162c5d37879c4834bda5011020bf04c2f0afd7570dc\",0,\"gcd_three_numbers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167035,
+      "path": "data/train/p7f/oproofs-s00002-r00003012-n000004-0000-d26933a5ab5545fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d26933a5ab5545fdf4b30d37db089a34be76657b4f66c8e9c7ab03f05d1c8434"
+    },
+    {
+      "bytes": 50446,
+      "path": "data/dev/p7f/oproofs-s00002-r00003012-n000004-0000-395f88c2dbca9395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "395f88c2dbca9395b6e15fd85fab46400b1146ede3ce117c6eb4b1b6140b4bee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003016-n000004.json b/manifests/batches/oproofs/s00002-r00003016-n000004.json
index ce33e8c50f2c03ad6e74aab760b5dff56ded184c..fce9d8a61c3385a70e0d650314c60670c6d48e87 100644
--- a/manifests/batches/oproofs/s00002-r00003016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003016-n000004",
   "batch_fingerprint": "069123e92a6ee83aa5006b9b3252134c100488ff7d21defc4f06ed405f505a32",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003016-n000004-0000-6f041ca2b5be0fd1.parquet",
-      "sha256": "6f041ca2b5be0fd157def6a71f3fecc26b05a99e0693074e65b7293e3b9a1c56",
-      "bytes": 318666,
-      "rows": 23,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003017.lean\",\"11b2d3cf1ff5ef4c3a5e1ccc58395c313bc604fcd7e7873a6f09fb5ed6d2cc2a\",0,\"lean_workbook_plus_59993\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003018.lean\",\"755b5b4451034871ee0452076b117fec8e6df92298bcf8987282d2d718fcc51c\",0,\"equation_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003019.lean\",\"ca51cdf03031361b133448a2d0c2b7f8b43b86ee1920e370db6594b9f6b743d6\",0,\"lean_workbook_plus_37217\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318666,
+      "path": "data/train/pe4/oproofs-s00002-r00003016-n000004-0000-6f041ca2b5be0fd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6f041ca2b5be0fd157def6a71f3fecc26b05a99e0693074e65b7293e3b9a1c56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003020-n000004.json b/manifests/batches/oproofs/s00002-r00003020-n000004.json
index 5ec290096c779f82ace0b12d0d6eb6f096274d1d..7c18a1f61ad48e693a218c6f7027e4ce7ed707df 100644
--- a/manifests/batches/oproofs/s00002-r00003020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003020-n000004",
   "batch_fingerprint": "6f6e4648854898a2f499e624ae2727f6c59a6578a50f27791ea81ca2d7b9c2d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003020-n000004-0000-5ab60c810527bc9f.parquet",
-      "sha256": "5ab60c810527bc9f91ab6b7458f387dc948097860aa296040b760e1cd9a4dd2c",
-      "bytes": 629582,
-      "rows": 20,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003020-n000004-0000-c59c2575178f8837.parquet",
-      "sha256": "c59c2575178f883702c08aab56e5024cfc788f7e6a4020b955c38ef44e380d2b",
-      "bytes": 40277,
-      "rows": 4,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003021.lean\",\"90f915bb0bdbded0e1691194dbfc3f712a84a68809034e16db7ee9b399bada69\",0,\"prob_A_and_B_in_Position_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003022.lean\",\"eee5cb2861d238faf04f0f878b632ec1be2effece8dab58d7d11fdf75d3f2b55\",0,\"lean_workbook_36667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003023.lean\",\"e9999b559e01581646d63e134724484d02c798850b5193c3bcd4c7fbe205576d\",0,\"lean_workbook_plus_59788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 629582,
+      "path": "data/train/pd0/oproofs-s00002-r00003020-n000004-0000-5ab60c810527bc9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5ab60c810527bc9f91ab6b7458f387dc948097860aa296040b760e1cd9a4dd2c"
+    },
+    {
+      "bytes": 40277,
+      "path": "data/dev/pd0/oproofs-s00002-r00003020-n000004-0000-c59c2575178f8837.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c59c2575178f883702c08aab56e5024cfc788f7e6a4020b955c38ef44e380d2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003024-n000004.json b/manifests/batches/oproofs/s00002-r00003024-n000004.json
index 95964d6c651936d4f8e8ccce0c1c1fcb800f3b9e..5d8c62293a3a93cb57a964c3ce85d59a87114c61 100644
--- a/manifests/batches/oproofs/s00002-r00003024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003024-n000004",
   "batch_fingerprint": "ec1b7f71e78225b140daeaa29472a7b2294b6df0ca7579acacd2c6333f23efc4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003024-n000004-0000-99308616cabf536d.parquet",
-      "sha256": "99308616cabf536d42a28fdcf45653f64f3e4566b16b9ab40b23ea70e0c9c2eb",
-      "bytes": 720790,
-      "rows": 22,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003024-n000004-0001-e619307492ca16eb.parquet",
-      "sha256": "e619307492ca16ebdea3fdacdafdf371190295d82f30c8ef56e98aba1a7384d0",
-      "bytes": 212790,
-      "rows": 5,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003025.lean\",\"435122970f7bd9b4d45e3d1eb06a214d8c177fec7f73ea48c02f267fb646b51d\",0,\"lean_workbook_plus_16845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003026.lean\",\"ea323cd3a504e50befbeaabeeda1c22a6c6708157a4556fddb99918d2b194f27\",0,\"integral_solution_unique\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003027.lean\",\"f4cf0749e1f53d5738c517613248e6585f951bd1a55449856d54892ae918d3ff\",0,\"lean_workbook_plus_66166\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 720790,
+      "path": "data/train/p94/oproofs-s00002-r00003024-n000004-0000-99308616cabf536d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "99308616cabf536d42a28fdcf45653f64f3e4566b16b9ab40b23ea70e0c9c2eb"
+    },
+    {
+      "bytes": 212790,
+      "path": "data/train/p94/oproofs-s00002-r00003024-n000004-0001-e619307492ca16eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e619307492ca16ebdea3fdacdafdf371190295d82f30c8ef56e98aba1a7384d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003028-n000004.json b/manifests/batches/oproofs/s00002-r00003028-n000004.json
index d2aa20054ee3fce9dba0c550ad6f7dc18aee8862..02712459c55a13ef8a4b07358abde6855e9a3a8c 100644
--- a/manifests/batches/oproofs/s00002-r00003028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003028-n000004",
   "batch_fingerprint": "b21e15b73375da5bd0bd4a0962eea1cb6ecc4e30ed942ae97feff9f283f69ef0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003028-n000004-0000-e172d0336723455b.parquet",
-      "sha256": "e172d0336723455b730bfbbd628e3084ab5fb831eec2304e7d245d162d914c35",
-      "bytes": 195070,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003028-n000004-0000-1aabcd626c69796d.parquet",
-      "sha256": "1aabcd626c69796d0a34df1b1cfd46c7ecdae23504de432a1f22dd4c6162bec5",
-      "bytes": 54284,
-      "rows": 3,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003029.lean\",\"83b6269605199b5b7cc49efcdae1aca0712befdf2115be077987eda61b2301eb\",0,\"lean_workbook_plus_22503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003030.lean\",\"f3e5d11b34636f769055f4fb085bf61a6cae43ce2ad556ada15aafed2081a334\",0,\"lean_workbook_4856\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003031.lean\",\"42ae622f384b5d781388992a5d602610a3ccd17bfde95e38bcaf2b8875891553\",0,\"lean_workbook_plus_41978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195070,
+      "path": "data/train/pfa/oproofs-s00002-r00003028-n000004-0000-e172d0336723455b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e172d0336723455b730bfbbd628e3084ab5fb831eec2304e7d245d162d914c35"
+    },
+    {
+      "bytes": 54284,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00003028-n000004-0000-1aabcd626c69796d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1aabcd626c69796d0a34df1b1cfd46c7ecdae23504de432a1f22dd4c6162bec5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003032-n000004.json b/manifests/batches/oproofs/s00002-r00003032-n000004.json
index 58e672f991d837865db5f00c92a140a722f382a1..99e0eedd8cc2225e6fc44e7230e57df1e000a2d1 100644
--- a/manifests/batches/oproofs/s00002-r00003032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003032-n000004",
   "batch_fingerprint": "f7aa29dddc2090e2a040b2fe91550ee6283f0aa85d2dbd9d0e6f175cac89c702",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003032-n000004-0000-7b727efd6eda794f.parquet",
-      "sha256": "7b727efd6eda794f3a60a7abfe4215ccd2a4f38e234ace0c81aab841e2e4b3a6",
-      "bytes": 222327,
-      "rows": 16,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003032-n000004-0000-c2606c92e446267e.parquet",
-      "sha256": "c2606c92e446267e461fc98f538c87b923c61d12a0d1e52c6d79fd605e080bbb",
-      "bytes": 44171,
-      "rows": 3,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003033.lean\",\"16584dde16633f40f39f3b386a0365ec772f23290d356cdc9d091a01ea3036fc\",0,\"lean_workbook_plus_18995\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003034.lean\",\"ce18a5fa8c8ab623f886e0dd1899f2f7112fc2540a7bce3454744006cdb207d1\",0,\"lean_workbook_plus_38330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003035.lean\",\"189666a299126b5704059025d44888ae25ce203498773ac0fbac6953fd707b6d\",0,\"lean_workbook_plus_52231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222327,
+      "path": "data/train/p47/oproofs-s00002-r00003032-n000004-0000-7b727efd6eda794f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7b727efd6eda794f3a60a7abfe4215ccd2a4f38e234ace0c81aab841e2e4b3a6"
+    },
+    {
+      "bytes": 44171,
+      "path": "data/internal_test/p47/oproofs-s00002-r00003032-n000004-0000-c2606c92e446267e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c2606c92e446267e461fc98f538c87b923c61d12a0d1e52c6d79fd605e080bbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003036-n000004.json b/manifests/batches/oproofs/s00002-r00003036-n000004.json
index 15285c56ffa6191d0a4fde52e428b8d93c64d8ec..edaa5e2a428f002e374e8762306822cbf24eb5ff 100644
--- a/manifests/batches/oproofs/s00002-r00003036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003036-n000004",
   "batch_fingerprint": "f1cb2a7b2c221e17b3cea20f9ad82cc26dcc84b6a44ab3cd78e59939df5a1692",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003036-n000004-0000-fb87dd5d3ac49f32.parquet",
-      "sha256": "fb87dd5d3ac49f32ce4323e9b41e034d1592bda5ab4f7ea38d94d2e6cf399e3e",
-      "bytes": 259302,
-      "rows": 19,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003037.lean\",\"ca13990091587fa46e6db0132de432d55ef2fb409d3799f941178378fd4cc78c\",0,\"lean_workbook_plus_7490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003038.lean\",\"44da97cf6d32b51f0c65928b5af2d013e25c390c79ed4b9aae11751548f97deb\",0,\"dot_product_max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003039.lean\",\"78e7e5daa36a933a5e36dcfdffdbc522b0929f6a92e4001c7cfdc51555582a6d\",0,\"lean_workbook_plus_48518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259302,
+      "path": "data/train/pa0/oproofs-s00002-r00003036-n000004-0000-fb87dd5d3ac49f32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fb87dd5d3ac49f32ce4323e9b41e034d1592bda5ab4f7ea38d94d2e6cf399e3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003040-n000004.json b/manifests/batches/oproofs/s00002-r00003040-n000004.json
index 5d050ac99a24443c13eb091598d61df21301b1ee..aad09243728ad2246fd3cce04b8d0bbf052c720c 100644
--- a/manifests/batches/oproofs/s00002-r00003040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003040-n000004",
   "batch_fingerprint": "5d65a9951c4e8a53ba3141fca3bb40ad4d415ee68e627778952126d5747f88d5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003040-n000004-0000-7e13371647e29cb6.parquet",
-      "sha256": "7e13371647e29cb620db0c93a889ebf9a059b43dd8c013b516f929b49a7011c8",
-      "bytes": 173696,
-      "rows": 20,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003041.lean\",\"3afb8ead339d0da009db73ac03dec376d48e9b87f704a854d0c94cdf9b013619\",0,\"lean_workbook_plus_20927\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003042.lean\",\"281cb9d94623a53de3b552402eb375a0bce46e07a09d3e31330d4388b9cb0d09\",0,\"lean_workbook_plus_2099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003043.lean\",\"212e76709ed462886ab64042e08dd5d34d06edf33e408a5c4fc1b847f358834d\",0,\"lean_workbook_plus_67122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173696,
+      "path": "data/train/p4a/oproofs-s00002-r00003040-n000004-0000-7e13371647e29cb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7e13371647e29cb620db0c93a889ebf9a059b43dd8c013b516f929b49a7011c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003044-n000004.json b/manifests/batches/oproofs/s00002-r00003044-n000004.json
index 9facb9084913a9f7e2dedfa26ba93888beb2a42e..a5aae0c19413105c78ca3137572c9782933bdc2c 100644
--- a/manifests/batches/oproofs/s00002-r00003044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003044-n000004",
   "batch_fingerprint": "76c89f4fd9a924f4122b4cd5ebd2973f082332ffb36ba44337cf452235ab29ae",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003044-n000004-0000-4f2cb6fc9a669665.parquet",
-      "sha256": "4f2cb6fc9a669665e4f59784d89467a8256d4e43a48043821016e9f032404418",
-      "bytes": 116851,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003044-n000004-0000-c7621d2b761f31c7.parquet",
-      "sha256": "c7621d2b761f31c78fda6e6aa381f3840ebe4a1de668ffd2368d829a19992ffa",
-      "bytes": 63137,
-      "rows": 5,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003045.lean\",\"8e3dc3f8864007e591a4ddee604a44d33d904096a5ede8bc7fd072631fca3fbc\",0,\"lean_workbook_plus_13522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003046.lean\",\"6a27c6b9954dfacdef37cae2e5c1cb241d983d3f6e01d3b232daada8ad8a5a8a\",0,\"lean_workbook_plus_18320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003047.lean\",\"3d4bc10e477d7656ffe6ae61a11ba6ac05187a502c6600766d2efa6d04baa582\",0,\"lean_workbook_plus_10134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116851,
+      "path": "data/train/pd3/oproofs-s00002-r00003044-n000004-0000-4f2cb6fc9a669665.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4f2cb6fc9a669665e4f59784d89467a8256d4e43a48043821016e9f032404418"
+    },
+    {
+      "bytes": 63137,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00003044-n000004-0000-c7621d2b761f31c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c7621d2b761f31c78fda6e6aa381f3840ebe4a1de668ffd2368d829a19992ffa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003048-n000004.json b/manifests/batches/oproofs/s00002-r00003048-n000004.json
index 030e99a369ca66e1272b6afc70284e9cd01e1579..e65eef55731a0218a614f76abb9dcafce550bf25 100644
--- a/manifests/batches/oproofs/s00002-r00003048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003048-n000004",
   "batch_fingerprint": "c91d3bc692febf030200227ed9d7f14bf630baa93fc91a9830d322e6b49a2116",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003048-n000004-0000-9f5568b07fde6ed9.parquet",
-      "sha256": "9f5568b07fde6ed9047742a1a2b5c45c90cc4ff762b70103c83bfdf39b07a51a",
-      "bytes": 96489,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003048-n000004-0000-157095d431ae5e14.parquet",
-      "sha256": "157095d431ae5e14de453eba73b0c6c050e56ccc8ea5050b17dccb433d639956",
-      "bytes": 262946,
-      "rows": 4,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003049.lean\",\"daf493d59da441e73fb37720bd08c73dfd66cb5daff5652330e9fde916045959\",0,\"lean_workbook_plus_28385\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003050.lean\",\"20f7926dc754b7563cd68dae06d0338d11306205e87321ec4cd24de6b49868a7\",0,\"lean_workbook_39768\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003051.lean\",\"030c2e560a5ae1724f5228fd0b5fa2d7d25a1648bcf46f39e530499443d82c75\",0,\"lean_workbook_22990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96489,
+      "path": "data/train/p5c/oproofs-s00002-r00003048-n000004-0000-9f5568b07fde6ed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9f5568b07fde6ed9047742a1a2b5c45c90cc4ff762b70103c83bfdf39b07a51a"
+    },
+    {
+      "bytes": 262946,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00003048-n000004-0000-157095d431ae5e14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "157095d431ae5e14de453eba73b0c6c050e56ccc8ea5050b17dccb433d639956"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003052-n000004.json b/manifests/batches/oproofs/s00002-r00003052-n000004.json
index 3c3331e7a60f4f6ae51f5fb4b2a59ea6eaf29115..7e37e39125d83fbd4ea1e726f2b86b7880566472 100644
--- a/manifests/batches/oproofs/s00002-r00003052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003052-n000004",
   "batch_fingerprint": "e072cab1fec0935f3bdfc0df2d30e000d5a42715b5147a803335ca4c42f49997",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003052-n000004-0000-6294e3363bd8eb1b.parquet",
-      "sha256": "6294e3363bd8eb1b53876db258a2cd83ea08a39e6e61f7f949aa85dd0935c581",
-      "bytes": 400976,
-      "rows": 21,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003053.lean\",\"4a3e7bc161f4cbd751fa1e4ccde910fb3bcef0ce42cd6896189101df2abf52f4\",0,\"lean_workbook_11039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003054.lean\",\"81c90dc9fc2a078d241e8f0bb6460ee0147df9dc7a3b57182fa2ba725a8ea9be\",0,\"lean_workbook_plus_5952\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003055.lean\",\"b6bc400f996f6dd2cdfbbd099694bc0c6f21714617048d05b585f3f94780355d\",0,\"lean_workbook_plus_17599\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 400976,
+      "path": "data/train/p90/oproofs-s00002-r00003052-n000004-0000-6294e3363bd8eb1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6294e3363bd8eb1b53876db258a2cd83ea08a39e6e61f7f949aa85dd0935c581"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003056-n000004.json b/manifests/batches/oproofs/s00002-r00003056-n000004.json
index 6b4531b2db0e29a99fac899c2f97f400b0a5ea6b..158ba5bf4fd34d2879d028164653579a68370efe 100644
--- a/manifests/batches/oproofs/s00002-r00003056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003056-n000004",
   "batch_fingerprint": "6a8e4c74ec39e2b8a6df0274a8f378ffca72155d71508630408c126875ddd750",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003056-n000004-0000-cc9eb618bccda1f3.parquet",
-      "sha256": "cc9eb618bccda1f37350ee256b1985df572cf6e2da51a3a8567046bdbd473518",
-      "bytes": 306608,
-      "rows": 14,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3058",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003056.lean\",\"6642bfad5fe0dbb9f5f3f4b0832f0ee4b1036fd51026dfc2255d2cc1c307c03a\",0,\"lean_workbook_plus_69773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003058.lean\",\"33c36648126d84bef8cc1d4ed2b638a67ede84c847b66aaed7e65099a4dc1fd6\",0,\"lean_workbook_plus_24971\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003059.lean\",\"b939e707dfda5822262f5ffa0b28e28d40b08b5665e6046c2b9de35870780dea\",0,\"lean_workbook_plus_20032\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306608,
+      "path": "data/train/p55/oproofs-s00002-r00003056-n000004-0000-cc9eb618bccda1f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cc9eb618bccda1f37350ee256b1985df572cf6e2da51a3a8567046bdbd473518"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003060-n000004.json b/manifests/batches/oproofs/s00002-r00003060-n000004.json
index 5c6c00843b5dc834efb1d271b17108aad6e624a5..92f8b30c5872daa36bccd7674893a48b872f4cb2 100644
--- a/manifests/batches/oproofs/s00002-r00003060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003060-n000004",
   "batch_fingerprint": "b1bc7fceb77821114d498c1b7470805e6fd7a73271f6997e2f5ad5f1ff8a3da9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003060-n000004-0000-719622089dd6b367.parquet",
-      "sha256": "719622089dd6b367a25abf5c3c36b603667815ceb9ae2b1a2042267c56ec9ad8",
-      "bytes": 189893,
-      "rows": 23,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003061.lean\",\"738fce52aac66445d27a0996e747b2495444b346a23719c6fa9ee3a5e66d2d88\",0,\"lean_workbook_plus_38505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003062.lean\",\"2584097b37f54e6b9b9f589bf1e4a612e1c5fc12ca529516e9e16c57ccf4889b\",0,\"lean_workbook_plus_38737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003063.lean\",\"942db112dc11dda9f1702063da7a19c32e56fa894667a3ba235afaa0ad4a217c\",0,\"lean_workbook_plus_8963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189893,
+      "path": "data/train/p27/oproofs-s00002-r00003060-n000004-0000-719622089dd6b367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "719622089dd6b367a25abf5c3c36b603667815ceb9ae2b1a2042267c56ec9ad8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003064-n000004.json b/manifests/batches/oproofs/s00002-r00003064-n000004.json
index 49bad516da789486b72516b29c4f55b137eaf188..fae42d78989cf1173306c421a2e77b7d939acb9d 100644
--- a/manifests/batches/oproofs/s00002-r00003064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003064-n000004",
   "batch_fingerprint": "663bbc65798b51a1c61491b9517c30b22fa1bf8869c9d2be9789c15dd92c9262",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003064-n000004-0000-4d28f11b90149cf2.parquet",
-      "sha256": "4d28f11b90149cf2aa2855cf59e7ca7b571aa67b997cffaae18432c8704024ba",
-      "bytes": 608149,
-      "rows": 17,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003064-n000004-0000-2b25d6dc11887fff.parquet",
-      "sha256": "2b25d6dc11887fff97090b5ecb8652cd8bba4c7084b09e5eccc2b991731a217c",
-      "bytes": 46104,
-      "rows": 2,
-      "revision": "678887c0e5fd0d2ab882cc5cb32c5ec14297abb0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003065.lean\",\"801a10fa4d87c048fbefd6f5c28312bb21619e77bb2aceccda6c16bd1fbcfd26\",0,\"ellipse_triangle_area_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003066.lean\",\"e5012851174129d167dd8b001f5bc1c1548d50b4ff47f81782e505ffd2947b92\",0,\"lean_workbook_plus_25486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003067.lean\",\"9e39719884a08e952d91179d49ddcbb4b65479ff57f96bf518435cea17743368\",0,\"lean_workbook_plus_54882\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 608149,
+      "path": "data/train/p4e/oproofs-s00002-r00003064-n000004-0000-4d28f11b90149cf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4d28f11b90149cf2aa2855cf59e7ca7b571aa67b997cffaae18432c8704024ba"
+    },
+    {
+      "bytes": 46104,
+      "path": "data/dev/p4e/oproofs-s00002-r00003064-n000004-0000-2b25d6dc11887fff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2b25d6dc11887fff97090b5ecb8652cd8bba4c7084b09e5eccc2b991731a217c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003068-n000004.json b/manifests/batches/oproofs/s00002-r00003068-n000004.json
index c0f6beb4e4d76336ad4662ed749f02c31b144066..adfb0421ceff282c36427c7f54c4c72ff02b63e6 100644
--- a/manifests/batches/oproofs/s00002-r00003068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003068-n000004",
   "batch_fingerprint": "bd7ce75b788545c332e2c42c9a653cbd19d161a5196ee2c1c69f01a53fdb1674",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003068-n000004-0000-ade8919a26958ade.parquet",
-      "sha256": "ade8919a26958adeab1c5bc7581407a5190d08b544670c3439571bf4606c80ec",
-      "bytes": 163474,
-      "rows": 14,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003068-n000004-0000-78f924b27e5db683.parquet",
-      "sha256": "78f924b27e5db683084f6b345053ca8623ab5c42cba7b5e490d8358e18a7ef52",
-      "bytes": 75926,
-      "rows": 5,
-      "revision": "94961ffb7b38a4e452e809fe9c9d42e47624371a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003069.lean\",\"35e89f7efc655e9087383c83deddd65a149b684ebf4d41838729228f244a962b\",0,\"lean_workbook_47000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003070.lean\",\"fd63c3ef91776fc845065790aff35ba92b3c4f2248fbb26497485ecc1d06f38a\",0,\"lean_workbook_plus_30905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003071.lean\",\"cffd6523e712a5ae53945ade5d8bce5acd6ed7b4886377220ee77081760e6a94\",0,\"lean_workbook_plus_37343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163474,
+      "path": "data/train/p4f/oproofs-s00002-r00003068-n000004-0000-ade8919a26958ade.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ade8919a26958adeab1c5bc7581407a5190d08b544670c3439571bf4606c80ec"
+    },
+    {
+      "bytes": 75926,
+      "path": "data/dev/p4f/oproofs-s00002-r00003068-n000004-0000-78f924b27e5db683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "78f924b27e5db683084f6b345053ca8623ab5c42cba7b5e490d8358e18a7ef52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003072-n000004.json b/manifests/batches/oproofs/s00002-r00003072-n000004.json
index 441f00e5a8355db99f7d3790cbe1761e19e4c4f3..954b2294fb296a7731d801e88a6d84b0ac099e08 100644
--- a/manifests/batches/oproofs/s00002-r00003072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003072-n000004",
   "batch_fingerprint": "4801fa5f77ce8ea594a15e2103a2b2caa3ea14b1bcd4b770d37f2e71a8c4e70f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003072-n000004-0000-454f9627f833b543.parquet",
-      "sha256": "454f9627f833b543c9100997c04af5515670e78feaeb9f61d334734d02d1a1c9",
-      "bytes": 462281,
-      "rows": 25,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003073.lean\",\"1266ad6184842048fd0a1e91b4ad36c213bc163ae6b87f52cdd697d9d4378352\",0,\"lean_workbook_plus_54974\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003074.lean\",\"74eb669957f03944de3bc1720c8c45901c67b1a7ee6fef635a4b9d30b037be95\",0,\"lean_workbook_plus_41449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003075.lean\",\"6c912af466d7a3d57c817ee511bdb8555aabef90465e62892d4a0633892c1250\",0,\"lean_workbook_11825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 462281,
+      "path": "data/train/pe5/oproofs-s00002-r00003072-n000004-0000-454f9627f833b543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "454f9627f833b543c9100997c04af5515670e78feaeb9f61d334734d02d1a1c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003076-n000004.json b/manifests/batches/oproofs/s00002-r00003076-n000004.json
index 41f7114f85775104897539cb51dee4ddb5ab70cb..2ac912375ef8d085159ae82e9d6b55c945391405 100644
--- a/manifests/batches/oproofs/s00002-r00003076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003076-n000004",
   "batch_fingerprint": "08336a315ce2da467ea8962e6485e190101452d36dea7cfda82c8d32cdc7d856",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003076-n000004-0000-6e44aad7dcfdc74a.parquet",
-      "sha256": "6e44aad7dcfdc74ac5db570a3059d6361f116889d55a37181db5f56a5fdc7678",
-      "bytes": 240898,
-      "rows": 23,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003077.lean\",\"0c19c2104bd5c5a17a7aa6d09b211f7763d90e11b68ae45df7ac321f3bb360a3\",0,\"lean_workbook_plus_30832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003078.lean\",\"b8a1df53ae084a58ccc782bd2fb9099ee0791c20ea16dec30e27ec762f5d4d68\",0,\"lean_workbook_plus_2800\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003079.lean\",\"8b4c54b2f84baf0f6bba4d6e93ffacd4966c66553127e46281cea0c1e6b5716f\",0,\"lean_workbook_plus_10522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240898,
+      "path": "data/train/p7f/oproofs-s00002-r00003076-n000004-0000-6e44aad7dcfdc74a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6e44aad7dcfdc74ac5db570a3059d6361f116889d55a37181db5f56a5fdc7678"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003080-n000004.json b/manifests/batches/oproofs/s00002-r00003080-n000004.json
index ccb38556773c693e770e0386a0566b8bcdfd8876..e560f14da96dbf864d054298f957054350cd3b12 100644
--- a/manifests/batches/oproofs/s00002-r00003080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003080-n000004",
   "batch_fingerprint": "de1230699b285b7b145c768fdeaa2f74e86f20f2613f6b837fd32ef86dcafc99",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003080-n000004-0000-6301fbee0874d028.parquet",
-      "sha256": "6301fbee0874d0284dfad192b513984119286ebe8e5cc3f6ba9fc50d35ba6ab2",
-      "bytes": 764781,
-      "rows": 23,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003080-n000004-0000-e058c9f8104912a5.parquet",
-      "sha256": "e058c9f8104912a5a4a539857487d2a7140b15464e8df219e7b872b838ee46d9",
-      "bytes": 402625,
-      "rows": 8,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003081.lean\",\"bf78c2b0871bb0619c2f37d2ef95e9a77e1dc516a079c85a40b7eb65445ac5fe\",0,\"exists_not_integer_sqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003082.lean\",\"8eb28ffe99df2ba38c33022e8355ca34cd7301cced6933ceba1340443420bda7\",0,\"lean_workbook_plus_17311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003083.lean\",\"d2dad8f536153fba82d6c504678a42ac3b8e53876602b76f3e50223c54ea05cf\",0,\"ln_plus_x_solution_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 764781,
+      "path": "data/train/pc9/oproofs-s00002-r00003080-n000004-0000-6301fbee0874d028.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6301fbee0874d0284dfad192b513984119286ebe8e5cc3f6ba9fc50d35ba6ab2"
+    },
+    {
+      "bytes": 402625,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00003080-n000004-0000-e058c9f8104912a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e058c9f8104912a5a4a539857487d2a7140b15464e8df219e7b872b838ee46d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003084-n000004.json b/manifests/batches/oproofs/s00002-r00003084-n000004.json
index c34059c0abcbca5e125c7c44cdb9a5aeaf688d17..b2eee57439af5cbcb9391c2ec66db9555e38b344 100644
--- a/manifests/batches/oproofs/s00002-r00003084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003084-n000004",
   "batch_fingerprint": "8675c1e2f433d1da72321149651bdcd20dce649c8d5ee72a6c69817d564144af",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003084-n000004-0000-2dc9d1e9be6b4b2b.parquet",
-      "sha256": "2dc9d1e9be6b4b2b37c10c853449bb9eb95c32a72b7ce0e5383125e434c05b29",
-      "bytes": 97604,
-      "rows": 8,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003084-n000004-0000-5cbafbf86c75886b.parquet",
-      "sha256": "5cbafbf86c75886bc9f547e61990dbafbcf0687affeaed78d76cdc151489d3c1",
-      "bytes": 51990,
-      "rows": 3,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003085.lean\",\"3bdae8cdd22fcf2599ff7458e2340b1921fda6f5b5f4e0f29bb316f0e0388fbe\",0,\"lean_workbook_plus_40579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003086.lean\",\"4cdaf0990fbdbfcc46ea52ac07252ea581544fe00e00db805f72dc63a76a37ee\",0,\"lean_workbook_plus_13035\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003087.lean\",\"4960e02280352bd21bec599a06a67bf472098cbd5a16f2c1b95f7c22db11774c\",0,\"gcd_three_numbers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97604,
+      "path": "data/train/p77/oproofs-s00002-r00003084-n000004-0000-2dc9d1e9be6b4b2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2dc9d1e9be6b4b2b37c10c853449bb9eb95c32a72b7ce0e5383125e434c05b29"
+    },
+    {
+      "bytes": 51990,
+      "path": "data/dev/p77/oproofs-s00002-r00003084-n000004-0000-5cbafbf86c75886b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5cbafbf86c75886bc9f547e61990dbafbcf0687affeaed78d76cdc151489d3c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003088-n000004.json b/manifests/batches/oproofs/s00002-r00003088-n000004.json
index dc7be3e8287e75aa92b7a03bc630274fd34aa2cd..e5339a59fbd80357d47d1db036d84f08a39b178f 100644
--- a/manifests/batches/oproofs/s00002-r00003088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003088-n000004",
   "batch_fingerprint": "2ce77f176a7d42e2203979b7e1c62110b2fec000e1521bf2ef5c2db73e1edaf1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003088-n000004-0000-4f9a3660b06582b5.parquet",
-      "sha256": "4f9a3660b06582b5fe6fe58d3dc2a08f982edf9d2d1f769b5a8e7a6e4915e9b5",
-      "bytes": 204528,
-      "rows": 18,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3089",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003089.lean\",\"319eaeaa220584b4e874cc8f80ddae121b6a82c6aa636e7646a34af1177032b9\",0,\"lean_workbook_plus_59993\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003090.lean\",\"a745040b99f43d6b5602e17ac4f79cb05489c64740300ba5733770a8824a4518\",0,\"lean_workbook_plus_32749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003091.lean\",\"67dfdba7139190a5239f0645b28e83857397b997eeeda5c4040b34e2102bafe9\",0,\"lean_workbook_plus_37217\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204528,
+      "path": "data/train/pd9/oproofs-s00002-r00003088-n000004-0000-4f9a3660b06582b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4f9a3660b06582b5fe6fe58d3dc2a08f982edf9d2d1f769b5a8e7a6e4915e9b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003092-n000004.json b/manifests/batches/oproofs/s00002-r00003092-n000004.json
index 0c880203912b3b8fba3aa0717594b413d7e2812b..03b8a0150f5c3780d7c8fd2fba1cc78a3044d337 100644
--- a/manifests/batches/oproofs/s00002-r00003092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003092-n000004",
   "batch_fingerprint": "9fc80147f47df6f3a061d4c07112d78b0d716112350259fc75871739b9246ec9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003092-n000004-0000-0921d30c0c2ea0e7.parquet",
-      "sha256": "0921d30c0c2ea0e7f2c39f350afca56e915604af80cdc921a469911a162e3d1b",
-      "bytes": 257359,
-      "rows": 24,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003093.lean\",\"24aeb4a7b1aa0da26581d49ecf78316dcc8f74b644802a60e07ee77b628721e1\",0,\"prob_A_and_B_in_Position_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003094.lean\",\"f7abfe91e21c80e383c0081a8f5fa30a66cd1c2cb00a439e957bc148af0c54f0\",0,\"zero_in_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003095.lean\",\"215a9147e9b1284c8deab5300175c7eaaae2cc79f744136637cf215eb241132e\",0,\"lean_workbook_plus_59788\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257359,
+      "path": "data/train/p6a/oproofs-s00002-r00003092-n000004-0000-0921d30c0c2ea0e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0921d30c0c2ea0e7f2c39f350afca56e915604af80cdc921a469911a162e3d1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003096-n000004.json b/manifests/batches/oproofs/s00002-r00003096-n000004.json
index 8bd4649fbc97c215d990a910f4c418851e92e0f4..a7edddcc6fb06feb696989b7296151e40a59bb95 100644
--- a/manifests/batches/oproofs/s00002-r00003096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003096-n000004",
   "batch_fingerprint": "6f056d531cfeee3952ba811bd66788487d869dc95fc1bd6675a8759a387b76d6",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003096-n000004-0000-e2f20ac3a87dcc32.parquet",
-      "sha256": "e2f20ac3a87dcc322afebea6d1562c497471ec719bc41040021f018cb2a71965",
-      "bytes": 429057,
-      "rows": 23,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3097",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003096.lean\",\"993d84d8353a155791fe3ff321acb56d62ab434283c8345fd11e658189b1cae7\",0,\"lean_workbook_plus_38911\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003097.lean\",\"8f1a096f146e03a3b3d16d4aa980ffed51f557eafe7f1743bfde1da4d627833b\",0,\"lean_workbook_plus_16845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003098.lean\",\"dff968578ad3e3201baf3fe4ddda28cb8c2be335f0f3a5e2b0461d83cfb4a4f9\",0,\"lean_workbook_43852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429057,
+      "path": "data/train/p0f/oproofs-s00002-r00003096-n000004-0000-e2f20ac3a87dcc32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "e2f20ac3a87dcc322afebea6d1562c497471ec719bc41040021f018cb2a71965"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003100-n000004.json b/manifests/batches/oproofs/s00002-r00003100-n000004.json
index edbf5ab995c7647c5c1e941b6d12b051612dc7f5..178061a77ed69918ac16ecdf7cf7a2c3833ff941 100644
--- a/manifests/batches/oproofs/s00002-r00003100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003100-n000004",
   "batch_fingerprint": "648c6edfeb95cbdb607f817757197a1bb4b792472de19d81416a6e05b31d4adc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003100-n000004-0000-e8278862067d88be.parquet",
-      "sha256": "e8278862067d88bed22250480b9179fb8ddf2b0a51dd2711c6de82d69ca4fe96",
-      "bytes": 866763,
-      "rows": 12,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003100-n000004-0001-40ec785c1067c6bf.parquet",
-      "sha256": "40ec785c1067c6bf66db4142508f645a67fb98edb70949ceec8183584cd9e43d",
-      "bytes": 218975,
-      "rows": 11,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003101.lean\",\"9975e4bf003b97879bd0e8ec805982cc6bd1e4290fe28322426b36563a002829\",0,\"lean_workbook_plus_37002\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003102.lean\",\"bda16f4d5d92ef4e0da07e7f9b8877a52523706b15de29428c19c944c6e43c7b\",0,\"integral_solution_unique\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003103.lean\",\"2c0c70e3189dec3ce013c424aee97a3e9b195ec9704e81144a1fa811669206be\",0,\"total_profit_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 866763,
+      "path": "data/train/p5b/oproofs-s00002-r00003100-n000004-0000-e8278862067d88be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e8278862067d88bed22250480b9179fb8ddf2b0a51dd2711c6de82d69ca4fe96"
+    },
+    {
+      "bytes": 218975,
+      "path": "data/train/p5b/oproofs-s00002-r00003100-n000004-0001-40ec785c1067c6bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "40ec785c1067c6bf66db4142508f645a67fb98edb70949ceec8183584cd9e43d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003104-n000004.json b/manifests/batches/oproofs/s00002-r00003104-n000004.json
index 2a24435585d2edb20db142c84d6be715e7615bac..0ee430fefd26a730102c2750ca48848eb6dddf03 100644
--- a/manifests/batches/oproofs/s00002-r00003104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003104-n000004",
   "batch_fingerprint": "2cfde841d68376099799388faa4d42efa73c389ae7def7551997b50eec46fbea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003104-n000004-0000-1a9e8c20b970b43d.parquet",
-      "sha256": "1a9e8c20b970b43db79aecdddf79ef4e46d51d015500dc003446cc5aacdfd620",
-      "bytes": 253748,
-      "rows": 18,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003104-n000004-0000-724fc55ce5a5e774.parquet",
-      "sha256": "724fc55ce5a5e7743e2122bba7a106add18443aa79d8f2bd48c035766608162e",
-      "bytes": 116132,
-      "rows": 7,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003105.lean\",\"c8cb9174e48977932317a872d98c6161a29ffec7c6dbbfe9a28267bd275d6bd0\",0,\"circle_intersection_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003106.lean\",\"0d178720907238ef1276ea1754d5d7d99aea54285a3b45d42766b953d6981eaa\",0,\"f_zero_in_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003107.lean\",\"5bb01249b34f24021d8fa628ef4ada23137b2f78961d42240ab875bd3701b67c\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253748,
+      "path": "data/train/p90/oproofs-s00002-r00003104-n000004-0000-1a9e8c20b970b43d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1a9e8c20b970b43db79aecdddf79ef4e46d51d015500dc003446cc5aacdfd620"
+    },
+    {
+      "bytes": 116132,
+      "path": "data/internal_test/p90/oproofs-s00002-r00003104-n000004-0000-724fc55ce5a5e774.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "724fc55ce5a5e7743e2122bba7a106add18443aa79d8f2bd48c035766608162e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003108-n000004.json b/manifests/batches/oproofs/s00002-r00003108-n000004.json
index 81a80d4e2cd86d10ed59663e4a259bff901d190f..a07f8cf326c2a8bdab7365a96c0434dc265ba668 100644
--- a/manifests/batches/oproofs/s00002-r00003108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003108-n000004",
   "batch_fingerprint": "481267577bc856a421dee05b2db83c030a14d40d74c4d0f2337ca4deb4dc3f36",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003108-n000004-0000-3df01b3f7111d3c4.parquet",
-      "sha256": "3df01b3f7111d3c4b14a78911df70ca1f5fb3b4a6e9dc340e45a449f716e40d0",
-      "bytes": 220716,
-      "rows": 6,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003108-n000004-0000-72d12c835a451849.parquet",
-      "sha256": "72d12c835a451849240141fb2ca8176b20af2007c6c278fef3cd4c58101a5d8a",
-      "bytes": 68732,
-      "rows": 7,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3109",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003109.lean\",\"7adf2cabba4f6bb45d441a141b175ac2a2369d61d939db9cc6aad85508771a63\",0,\"bill_healthcare_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003110.lean\",\"ec104df677cddbf95be7d55ee7cec37719455e36aa4c0f735a5f7e0980e718aa\",0,\"area_ratio_small_to_large_paddock\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003111.lean\",\"c5117bcb7329a4762263c9f75fd80dea8615040b534974e89a483791cc2ba360\",0,\"min_n_for_powers_of_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220716,
+      "path": "data/train/p95/oproofs-s00002-r00003108-n000004-0000-3df01b3f7111d3c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3df01b3f7111d3c4b14a78911df70ca1f5fb3b4a6e9dc340e45a449f716e40d0"
+    },
+    {
+      "bytes": 68732,
+      "path": "data/dev/p95/oproofs-s00002-r00003108-n000004-0000-72d12c835a451849.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "72d12c835a451849240141fb2ca8176b20af2007c6c278fef3cd4c58101a5d8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003112-n000004.json b/manifests/batches/oproofs/s00002-r00003112-n000004.json
index 99e8e6379cdd0a05f634af4a661d180a95adc33c..ccc7a9e028fc07bff0930d0caf7a6c708b4b2fc9 100644
--- a/manifests/batches/oproofs/s00002-r00003112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003112-n000004",
   "batch_fingerprint": "651c03beef62c29475d490052a6d22fcbeebc80fd750d3da1e36969095cc7e82",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003112-n000004-0000-295cd07b95fe34a3.parquet",
-      "sha256": "295cd07b95fe34a3e4725136798b9f7964af12e54366982472a2fbfea9cea78b",
-      "bytes": 230942,
-      "rows": 26,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3113",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003113.lean\",\"caad3561ba5f2b6276315f861c0092877f3d0f177c10504fc398dbab444b0a2c\",0,\"work_done\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003114.lean\",\"3ee2d4fc8699c79388940ce408e26bdbc33a0a9f569b8c15cc221bcf6f06057c\",0,\"mats_weaved_in_12_days\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003115.lean\",\"2e36db1e2fa35424c3817c648e8fd4ebc7f0172252fd6ee8cf5b81fff260799e\",0,\"tom_total_cost\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230942,
+      "path": "data/train/pf9/oproofs-s00002-r00003112-n000004-0000-295cd07b95fe34a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "295cd07b95fe34a3e4725136798b9f7964af12e54366982472a2fbfea9cea78b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003116-n000004.json b/manifests/batches/oproofs/s00002-r00003116-n000004.json
index 61cedd3235ece04adcd085a0dd4cce8c64b41022..72deb4d8a8f632c48d724e2ee68dd422995cd658 100644
--- a/manifests/batches/oproofs/s00002-r00003116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003116-n000004",
   "batch_fingerprint": "066ad80948d249d1fbf0355c39f090153bee24081accd97a5379ab7da7111b9c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003116-n000004-0000-605b2935adf9a1d5.parquet",
-      "sha256": "605b2935adf9a1d5f4fa99e9591d6e0e2f38da938b197abfb0798ec365335564",
-      "bytes": 226714,
-      "rows": 10,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003116-n000004-0000-9efe49562ab49db7.parquet",
-      "sha256": "9efe49562ab49db7ddde6a241484fb9f6c98571ecf87d5de6e15a1bab7211039",
-      "bytes": 142957,
-      "rows": 11,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003117.lean\",\"9bd33776477557b229d1d905ff2c1118c0917b452ae322c46765e0ab31bafbb5\",0,\"all_three_clients\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003118.lean\",\"5f1e53ea9191d0b12c5b849233b3756a056c70c8539eeb4c36df001d32221b1a\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003119.lean\",\"a10b749d7868d20f496825ea7cd8c2bede4c16c7da370d09e4b24e643b4e575e\",0,\"min_value_of_M\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226714,
+      "path": "data/train/p78/oproofs-s00002-r00003116-n000004-0000-605b2935adf9a1d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "605b2935adf9a1d5f4fa99e9591d6e0e2f38da938b197abfb0798ec365335564"
+    },
+    {
+      "bytes": 142957,
+      "path": "data/internal_test/p78/oproofs-s00002-r00003116-n000004-0000-9efe49562ab49db7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9efe49562ab49db7ddde6a241484fb9f6c98571ecf87d5de6e15a1bab7211039"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003120-n000004.json b/manifests/batches/oproofs/s00002-r00003120-n000004.json
index 365824953fb4aad1082d9562be11970c3c909ad5..4329c7b39b08e67d4caef5d9b9048bd357974d39 100644
--- a/manifests/batches/oproofs/s00002-r00003120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003120-n000004",
   "batch_fingerprint": "ce9ffd7e3f5bee28a772ac557cd6bc12bac32082b86a1d7e93a037ef23dc8549",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003120-n000004-0000-56e27cb7f65c4cf8.parquet",
-      "sha256": "56e27cb7f65c4cf8c8c3ad210c608b47d9ee85111c77351f563a9527417a213d",
-      "bytes": 717166,
-      "rows": 17,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003121.lean\",\"62527bf2588de384f918c839300dda05de7a24865fbb53d11187b3d481debb86\",0,\"sum_of_arithmetic_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003122.lean\",\"883e1120f63064cef7260192a0b1745785359eef5f1d0907ae4b5fbd033d1310\",0,\"total_sacks\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003123.lean\",\"311472e6adfd3f7a3e90af632949a93b8fd9e3610a61c6a782d26348af2d9e3e\",0,\"area_of_square_inscribed_in_parabola\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 717166,
+      "path": "data/train/p81/oproofs-s00002-r00003120-n000004-0000-56e27cb7f65c4cf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "56e27cb7f65c4cf8c8c3ad210c608b47d9ee85111c77351f563a9527417a213d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003124-n000004.json b/manifests/batches/oproofs/s00002-r00003124-n000004.json
index 5becda86d1f1879d926557934c7bb3c78537e255..967072bde837ec9f1ff72e44615b6447c215d38d 100644
--- a/manifests/batches/oproofs/s00002-r00003124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003124-n000004",
   "batch_fingerprint": "19827b0662c74c26a0a331760a28ac968a0712be65ace32d3a2803db1b10a9a2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3124",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3125",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3126",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3127"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003124.lean\",\"8cd28fca2f60c03cf9bb69a1c5010c52c47fc06724fea34dd87aaf779db21215\",0,\"limit_inequality\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003125.lean\",\"dac84c3174feead5b2415de797bcd14e3dc4c1b8b095ca66319915b96d0de993\",0,\"interest_rate\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003126.lean\",\"6e9b64f1d164e194666ddd475dce528446947e870b6387b6f7b42d69f0080089\",0,\"dice_sum_perfect_square_probability\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003127.lean\",\"d1a767af5f5983d24dd74c5a0dda27811edcec16e0ea9e5116122e47193c30a2\",0,\"broken_marble_percentage\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003124-n000004-0000-a9012b009fd3c120.parquet",
-      "sha256": "a9012b009fd3c1208846a852c9199f99967d64a560dc383b5c0a7d08cf1d49f9",
       "bytes": 119504,
+      "path": "data/train/p9d/oproofs-s00002-r00003124-n000004-0000-a9012b009fd3c120.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "a9012b009fd3c1208846a852c9199f99967d64a560dc383b5c0a7d08cf1d49f9"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003124-n000004-0000-51c32d2f5db41184.parquet",
-      "sha256": "51c32d2f5db411848118641970deabb0999db3960d151c98bb69538bda89ff3c",
       "bytes": 331592,
+      "path": "data/dev/p9d/oproofs-s00002-r00003124-n000004-0000-51c32d2f5db41184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "51c32d2f5db411848118641970deabb0999db3960d151c98bb69538bda89ff3c"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003124-n000004-0000-a908718003f41138.parquet",
-      "sha256": "a908718003f41138534723e73d58bdd340d97a4a4caa63df6f84936765d8760c",
       "bytes": 38150,
+      "path": "data/internal_test/p9d/oproofs-s00002-r00003124-n000004-0000-a908718003f41138.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "a908718003f41138534723e73d58bdd340d97a4a4caa63df6f84936765d8760c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3124",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3125",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3126",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3127"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003124.lean\",\"8cd28fca2f60c03cf9bb69a1c5010c52c47fc06724fea34dd87aaf779db21215\",0,\"limit_inequality\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003125.lean\",\"dac84c3174feead5b2415de797bcd14e3dc4c1b8b095ca66319915b96d0de993\",0,\"interest_rate\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003126.lean\",\"6e9b64f1d164e194666ddd475dce528446947e870b6387b6f7b42d69f0080089\",0,\"dice_sum_perfect_square_probability\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003127.lean\",\"d1a767af5f5983d24dd74c5a0dda27811edcec16e0ea9e5116122e47193c30a2\",0,\"broken_marble_percentage\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003128-n000004.json b/manifests/batches/oproofs/s00002-r00003128-n000004.json
index c56bdae15093ac9d28e4ea8378a6541cd15c35a9..09f722829ffc1d385bb089210fe8717add89d9ab 100644
--- a/manifests/batches/oproofs/s00002-r00003128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003128-n000004",
   "batch_fingerprint": "d5a5441f4a6e2246040af571b52808ae51abd53110c708ec02de6d55235499ef",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003128-n000004-0000-7f9ddc876de81c6d.parquet",
-      "sha256": "7f9ddc876de81c6d9983505b7f420ecec8af3f96f39af0098c234295df3a33e3",
-      "bytes": 303083,
-      "rows": 18,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003129.lean\",\"2ea1c393a7d84ed4f4250e873bf13bb07635c5c7cd147cdc6801d2db4d66ff6d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003130.lean\",\"2af04e58a4ce77e660751fd9d5d629192cd4b0e330ced3f9431711b4ad2956c9\",0,\"average_speed\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003131.lean\",\"3a818ab78ebb2f31f9f37819589aa0ba828b661abd5e00a98819666c8a76401b\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303083,
+      "path": "data/train/pc6/oproofs-s00002-r00003128-n000004-0000-7f9ddc876de81c6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7f9ddc876de81c6d9983505b7f420ecec8af3f96f39af0098c234295df3a33e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003132-n000004.json b/manifests/batches/oproofs/s00002-r00003132-n000004.json
index 1531a5af5edcd4371ab9bcb94b4121fcbfbae95f..19e3bb55abd5e3b9a838427991f8325154bab03c 100644
--- a/manifests/batches/oproofs/s00002-r00003132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003132-n000004",
   "batch_fingerprint": "f09b8709f3ccf08be000066f5b3be0d32892778ac33c30b68483afe49dba53ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003132-n000004-0000-82b8ef18876ff8b3.parquet",
-      "sha256": "82b8ef18876ff8b3613b1786be550bb9287021f848907f3bf9f54bc20fa4cd65",
-      "bytes": 338845,
-      "rows": 17,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003132-n000004-0000-99ce4da417d6e218.parquet",
-      "sha256": "99ce4da417d6e218ce1c5b43e271fe2a23393a2472be6594491f8b25feb98fb8",
-      "bytes": 50102,
-      "rows": 6,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003133.lean\",\"107d95a9e64fe5a44bdfe3c36e7337f5bfa9547ecfdfd635cfe762b77f0f5398\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003134.lean\",\"6886ec6f33ec3da6032dd2f6ab646de3f2cdb2c301e25018400741a3b562532b\",0,\"average_rest_of_class\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003135.lean\",\"a23f105604b4ad8628fa4b14b877a63920383cb46e0dd97ba765cccf3c21902f\",0,\"skittles_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338845,
+      "path": "data/train/pea/oproofs-s00002-r00003132-n000004-0000-82b8ef18876ff8b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "82b8ef18876ff8b3613b1786be550bb9287021f848907f3bf9f54bc20fa4cd65"
+    },
+    {
+      "bytes": 50102,
+      "path": "data/dev/pea/oproofs-s00002-r00003132-n000004-0000-99ce4da417d6e218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "99ce4da417d6e218ce1c5b43e271fe2a23393a2472be6594491f8b25feb98fb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003136-n000004.json b/manifests/batches/oproofs/s00002-r00003136-n000004.json
index 803e543509a3d1ac0f3332af04ab0bae1c043a01..df84de7b99a99ad4df271db1498cf68d9b842229 100644
--- a/manifests/batches/oproofs/s00002-r00003136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003136-n000004",
   "batch_fingerprint": "a11799c0ad0959de6b804aa3c23a9016de827a96d1f448d459aef02f438aa310",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003136-n000004-0000-7ac3ef99e791685d.parquet",
-      "sha256": "7ac3ef99e791685d01e6b6d711dad67c503d66b76581d1bd7d86152ebb3e8238",
-      "bytes": 101366,
-      "rows": 17,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3137",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003137.lean\",\"28a7301dcfa59a6ee3c6a09a9f693912f057e3022732678971a59ba6c2367144\",0,\"cookout_kids_2006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003138.lean\",\"409572b61ba4e84596c561439d3f574b0632702ba2442a57be1a92cc986e8d8a\",0,\"framing_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003139.lean\",\"037f872dad2a83312a7c111f8e5b7f3394ad4a200a23c0792cbd7e9e9d16147c\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101366,
+      "path": "data/train/p2c/oproofs-s00002-r00003136-n000004-0000-7ac3ef99e791685d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7ac3ef99e791685d01e6b6d711dad67c503d66b76581d1bd7d86152ebb3e8238"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003140-n000004.json b/manifests/batches/oproofs/s00002-r00003140-n000004.json
index b210b66f5938d1fc4699e696a6a4e5df0142a500..68edcdd0d85993fa232897a9625f5f0602d403f6 100644
--- a/manifests/batches/oproofs/s00002-r00003140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003140-n000004",
   "batch_fingerprint": "7311a5fa4907ecf3e2215facaf48746e09a3cadc39aa41e25b1ded5a5cb0e502",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003140-n000004-0000-0d673e24516ffc22.parquet",
-      "sha256": "0d673e24516ffc229cbc88f13cf7953c0876183bac5f86f0cd9452064d7fb12b",
-      "bytes": 349636,
-      "rows": 12,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003140-n000004-0000-054f6263e27c371a.parquet",
-      "sha256": "054f6263e27c371adb07bd9c6236cd9d2db55e9fd4c066e87d3a601ebd1aa25a",
-      "bytes": 152436,
-      "rows": 6,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003141.lean\",\"d2cc8098357c9a0a73ed08b8ed7594250e68142724a921d92094bcb19d4949c0\",0,\"tan_sum_equals_sqrt_three\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003142.lean\",\"d966820d6fb556a28d81276505942cd56b36e224ebf7607fe644a17c5774b2ce\",0,\"lean_workbook_24792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003143.lean\",\"69c798d94243145da2cf252c53b0b13bfaf1575eeaaa38de0bb2a7b0b37c3896\",0,\"lean_workbook_plus_67799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349636,
+      "path": "data/train/p78/oproofs-s00002-r00003140-n000004-0000-0d673e24516ffc22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0d673e24516ffc229cbc88f13cf7953c0876183bac5f86f0cd9452064d7fb12b"
+    },
+    {
+      "bytes": 152436,
+      "path": "data/internal_test/p78/oproofs-s00002-r00003140-n000004-0000-054f6263e27c371a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "054f6263e27c371adb07bd9c6236cd9d2db55e9fd4c066e87d3a601ebd1aa25a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003144-n000004.json b/manifests/batches/oproofs/s00002-r00003144-n000004.json
index 32c6cf0db76112ce661949f0f4195a5f10151745..8a02eeb4ec2c0cdee1e491e8a7313c95e43bfb4f 100644
--- a/manifests/batches/oproofs/s00002-r00003144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003144-n000004",
   "batch_fingerprint": "7b5112e906b3499558d57a3d64e9bbfafa0d8ce49fb8586da389d2d87c24079c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003144-n000004-0000-4539b07cbecf01d5.parquet",
-      "sha256": "4539b07cbecf01d54a5f8e0a374dc3acacaba03d8b543eddcdc5de73190f72e8",
-      "bytes": 406503,
-      "rows": 17,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003145.lean\",\"e74dce8b259d04218c74bf5304c8ae0e1030466ef0a31b032380ebd8a9313c68\",0,\"lean_workbook_plus_36828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003146.lean\",\"3e4206c03d0211048c308dc5863f03ee01d5d6e301fd95bb18542578fe429260\",0,\"lean_workbook_plus_16571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003147.lean\",\"9eb161134e57761ede2a49be70a666c82030699e5eaf849026fa9764f1b7844f\",0,\"lean_workbook_plus_78852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406503,
+      "path": "data/train/p72/oproofs-s00002-r00003144-n000004-0000-4539b07cbecf01d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4539b07cbecf01d54a5f8e0a374dc3acacaba03d8b543eddcdc5de73190f72e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003148-n000004.json b/manifests/batches/oproofs/s00002-r00003148-n000004.json
index 4c07ea71d4f74c0d21ac2a17029d3cabf1a7df36..b2d8365eb1a9b6b1c4e9519d4846b6fc5671bef4 100644
--- a/manifests/batches/oproofs/s00002-r00003148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003148-n000004",
   "batch_fingerprint": "21b290a2b7a0b150e9a8fe3ff94394c025136c9584fd009afbf83f66c503baec",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3148",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3149",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3150",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3151"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003148.lean\",\"25b7d6504a1ab4eab5c0e083415f7993ae8bbcee258a35c752b2e4172f7c498e\",0,\"lean_workbook_plus_60027\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003149.lean\",\"235c91becca7bc8769d5ee49a31fe4b574379b286a04efd9336cf8c3f5ba3eac\",0,\"lean_workbook_plus_6548\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003150.lean\",\"4a79d7968da3c0eb4a2d00c47d033267b039f86555ef0e69c9b4bf5b2a2c34e4\",0,\"lean_workbook_plus_63625\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003151.lean\",\"17c4370a2ea3b3f90fa6edaefa736d35de82e9d850c086bba9989c09626cd744\",0,\"average_rainfall\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003148-n000004-0000-70294e26e7c02e11.parquet",
-      "sha256": "70294e26e7c02e11393765c1fd630d25fdae9f047539bbc5c7af98a1c80693fc",
       "bytes": 1256906,
+      "path": "data/train/p98/oproofs-s00002-r00003148-n000004-0000-70294e26e7c02e11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
+      "sha256": "70294e26e7c02e11393765c1fd630d25fdae9f047539bbc5c7af98a1c80693fc"
     },
     {
-      "path": "data/train/oproofs-s00002-r00003148-n000004-0001-9efc4aa9eeddab49.parquet",
-      "sha256": "9efc4aa9eeddab496bbe58d8dba2898dc554698199e248060350ecb1c78e4584",
       "bytes": 488701,
+      "path": "data/train/p98/oproofs-s00002-r00003148-n000004-0001-9efc4aa9eeddab49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
+      "sha256": "9efc4aa9eeddab496bbe58d8dba2898dc554698199e248060350ecb1c78e4584"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003148-n000004-0000-3f3a311a1bcd36b9.parquet",
-      "sha256": "3f3a311a1bcd36b9576703d9921d1ea501962c3b5b59e962a6fb58fc90356000",
       "bytes": 233987,
+      "path": "data/internal_test/p98/oproofs-s00002-r00003148-n000004-0000-3f3a311a1bcd36b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
+      "sha256": "3f3a311a1bcd36b9576703d9921d1ea501962c3b5b59e962a6fb58fc90356000"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3148",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3149",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3150",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3151"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003148.lean\",\"25b7d6504a1ab4eab5c0e083415f7993ae8bbcee258a35c752b2e4172f7c498e\",0,\"lean_workbook_plus_60027\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003149.lean\",\"235c91becca7bc8769d5ee49a31fe4b574379b286a04efd9336cf8c3f5ba3eac\",0,\"lean_workbook_plus_6548\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003150.lean\",\"4a79d7968da3c0eb4a2d00c47d033267b039f86555ef0e69c9b4bf5b2a2c34e4\",0,\"lean_workbook_plus_63625\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003151.lean\",\"17c4370a2ea3b3f90fa6edaefa736d35de82e9d850c086bba9989c09626cd744\",0,\"average_rainfall\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003152-n000004.json b/manifests/batches/oproofs/s00002-r00003152-n000004.json
index 0669981b88280ae0e18db1523891b5ec01fabf15..219987e8597e3efa1d8fce29c5672cf977bfcbc5 100644
--- a/manifests/batches/oproofs/s00002-r00003152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003152-n000004",
   "batch_fingerprint": "de961cb49016be6e6997f16f6179d7cc77c0c3d46f693a7b471534ea98beb97b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003152-n000004-0000-60a071b8c9917e0c.parquet",
-      "sha256": "60a071b8c9917e0c6abeba475321099a55e0d6df9695ef31ed929e488529f7e5",
-      "bytes": 172831,
-      "rows": 15,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003152-n000004-0000-fcea19d3dacb324e.parquet",
-      "sha256": "fcea19d3dacb324eaaaf000c9df182543b775cb2ca3ed5a33a89d88d81a6117a",
-      "bytes": 91128,
-      "rows": 3,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3153",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003153.lean\",\"bea94d430fb275306a92db31e0d9d9cb9cec972b53349c91f96c0b547e386b11\",0,\"bill_healthcare_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003154.lean\",\"01b1e71fd8e8c1ea89ca2e218ef61ddd3bc16db762e4a9276c1f8fd43e20e799\",0,\"gcd_fact_b\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003155.lean\",\"57e3995e1498c6dd4af111148d7c5bfad6c21e8466ba6f478a96182388ff402a\",0,\"min_n_for_powers_of_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172831,
+      "path": "data/train/pec/oproofs-s00002-r00003152-n000004-0000-60a071b8c9917e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "60a071b8c9917e0c6abeba475321099a55e0d6df9695ef31ed929e488529f7e5"
+    },
+    {
+      "bytes": 91128,
+      "path": "data/internal_test/pec/oproofs-s00002-r00003152-n000004-0000-fcea19d3dacb324e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fcea19d3dacb324eaaaf000c9df182543b775cb2ca3ed5a33a89d88d81a6117a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003156-n000004.json b/manifests/batches/oproofs/s00002-r00003156-n000004.json
index 8df68a9749bb20e31d97fb86914076a8df043cc2..7486dc9365ea2ba1c7e92d56985edb4200846c8b 100644
--- a/manifests/batches/oproofs/s00002-r00003156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003156-n000004",
   "batch_fingerprint": "7e51290dab40d862c1639eb1a575652567c5a1b98ea7d35480ca1bbab5ec1cdd",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3156",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3157",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3158",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3159"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003156.lean\",\"cb82af4539a76eebc5cbf95895b62406c9b55bf0fd292d1b17bc3ad7b1ef575b\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003157.lean\",\"97198fbfbd0ef363e8867e28eaec96bb4315f95ecccd60be7aa174395942d113\",0,\"max_difference_y_coords\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003158.lean\",\"d59bb2c519e36dca4ba5060112b88b2fde5e035ce1dce28803dffde87247d587\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003159.lean\",\"319b2b8c68a32c93dac9c60fdf53a823bb4f55aa050a150975f33bc2fce035f4\",0,\"part1\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003156-n000004-0000-7354f72f2d6d5176.parquet",
-      "sha256": "7354f72f2d6d51762840bed00ece7e4cfafa3e6440bea3eb4b571de02a6580f0",
       "bytes": 291868,
+      "path": "data/train/p64/oproofs-s00002-r00003156-n000004-0000-7354f72f2d6d5176.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "7354f72f2d6d51762840bed00ece7e4cfafa3e6440bea3eb4b571de02a6580f0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003156-n000004-0000-e4a6270a53c221fe.parquet",
-      "sha256": "e4a6270a53c221fe3aeee5e85a8a2c1202db17c6b9d358de99d5fa0d5c0d463d",
       "bytes": 150386,
+      "path": "data/dev/p64/oproofs-s00002-r00003156-n000004-0000-e4a6270a53c221fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "e4a6270a53c221fe3aeee5e85a8a2c1202db17c6b9d358de99d5fa0d5c0d463d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003156-n000004-0000-5b323135d265f178.parquet",
-      "sha256": "5b323135d265f1783e7905d6c241fa5f0a7139289742bd2b3ad0ab6272a9d977",
       "bytes": 152195,
+      "path": "data/internal_test/p64/oproofs-s00002-r00003156-n000004-0000-5b323135d265f178.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
+      "sha256": "5b323135d265f1783e7905d6c241fa5f0a7139289742bd2b3ad0ab6272a9d977"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3156",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3157",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3158",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3159"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003156.lean\",\"cb82af4539a76eebc5cbf95895b62406c9b55bf0fd292d1b17bc3ad7b1ef575b\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003157.lean\",\"97198fbfbd0ef363e8867e28eaec96bb4315f95ecccd60be7aa174395942d113\",0,\"max_difference_y_coords\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003158.lean\",\"d59bb2c519e36dca4ba5060112b88b2fde5e035ce1dce28803dffde87247d587\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003159.lean\",\"319b2b8c68a32c93dac9c60fdf53a823bb4f55aa050a150975f33bc2fce035f4\",0,\"part1\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003160-n000004.json b/manifests/batches/oproofs/s00002-r00003160-n000004.json
index fe9ff5fbebcf65e820f7d7efdc4c1ee5a2cab652..8f5ca5a3d32e4862854e53d0f9ea06ebcd25df36 100644
--- a/manifests/batches/oproofs/s00002-r00003160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003160-n000004",
   "batch_fingerprint": "9ceddcf868acd56243ab43d04239a7776c7c57cfaba9a4837991443944a3ee1b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003160-n000004-0000-067e1390f3bfec23.parquet",
-      "sha256": "067e1390f3bfec236d7cc39fb7aeea1f857f6cebf58dbf407e8c87c5b534f88d",
-      "bytes": 521339,
-      "rows": 14,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003161.lean\",\"9753fe4931c7c09f711c70c40939f1463329aa24bca191505437cccf2dd6732f\",0,\"sum_le_one_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003162.lean\",\"3e5daff0261345b7c3103b00f9e8566daadbd78885ad5a38d34289cf03de59fe\",0,\"shaded_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003163.lean\",\"a65dcad4e7ebea1966cf375f932f9067ea6ac8da5e1e422b91a4d1eee5c7cb47\",0,\"problem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 521339,
+      "path": "data/train/p3b/oproofs-s00002-r00003160-n000004-0000-067e1390f3bfec23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "067e1390f3bfec236d7cc39fb7aeea1f857f6cebf58dbf407e8c87c5b534f88d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003164-n000004.json b/manifests/batches/oproofs/s00002-r00003164-n000004.json
index 8e1605be950f64dff600f9dd59ccffcaaf204454..58f41a7f29b1575bf3273aada7910a7d5f2700f3 100644
--- a/manifests/batches/oproofs/s00002-r00003164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003164-n000004",
   "batch_fingerprint": "a7c5693c174ae971be4e663537bc6ac5498055be447b2e7c89a213de67444036",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003164-n000004-0000-03eb8fcc3f1cf069.parquet",
-      "sha256": "03eb8fcc3f1cf069c83806e866b7e88cca8467373731236e414b216c37c9523f",
-      "bytes": 102514,
-      "rows": 7,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003164-n000004-0000-aeaad43d2e918cd6.parquet",
-      "sha256": "aeaad43d2e918cd62942e8578be92d57f3270dd1dcf8a8ae197a4a2548412485",
-      "bytes": 235825,
-      "rows": 16,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003165.lean\",\"42dd9f0478019ef4e4c7a47ee579bb543da472a0a39b369b9d7adfc5d298dc5b\",0,\"degree_product_composition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003166.lean\",\"c019252fa9a9e81721ae43399016142eebdc25f54edf198eacd212c1926f8aef\",0,\"area_of_square_inscribed_in_parabola\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003167.lean\",\"2ec50f62e700e4fcec0f5a02885cb932cee758326fd4d15ac6bc1a3be1b5a486\",0,\"interest_rate\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102514,
+      "path": "data/train/p4f/oproofs-s00002-r00003164-n000004-0000-03eb8fcc3f1cf069.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "03eb8fcc3f1cf069c83806e866b7e88cca8467373731236e414b216c37c9523f"
+    },
+    {
+      "bytes": 235825,
+      "path": "data/dev/p4f/oproofs-s00002-r00003164-n000004-0000-aeaad43d2e918cd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "aeaad43d2e918cd62942e8578be92d57f3270dd1dcf8a8ae197a4a2548412485"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003168-n000004.json b/manifests/batches/oproofs/s00002-r00003168-n000004.json
index 7e52c9a2f38f9c1b877ed6362bb99a66ce05c158..f53778c2113f03cca4d9051526bd11f82bba2007 100644
--- a/manifests/batches/oproofs/s00002-r00003168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003168-n000004",
   "batch_fingerprint": "541c90c8d2c21170e21eab799a9adaaba50f0cfd84cca947e03b9bd2c4c4fbb6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003168-n000004-0000-3d7591552761da99.parquet",
-      "sha256": "3d7591552761da992695f8cf6a1660a6037d00bcad3713a8b1f755d5b9ddb914",
-      "bytes": 541157,
-      "rows": 19,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003169.lean\",\"cedd32511e6bf35d6dbcc3f008d76557916f2ada29b9da6d3e6ca8f7fdd59238\",0,\"regular_octagon_pyramid_volume\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003170.lean\",\"ba70ea96a9c149d3573f5967098a484b15069ee3221095414398d2931e9f45c3\",0,\"dice_sum_perfect_square_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003171.lean\",\"fc96559f8379317e7e427be41b12cf80fcdc6a0ec7e10211e13efcd1f822b758\",0,\"integral_example\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541157,
+      "path": "data/train/p62/oproofs-s00002-r00003168-n000004-0000-3d7591552761da99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3d7591552761da992695f8cf6a1660a6037d00bcad3713a8b1f755d5b9ddb914"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003172-n000004.json b/manifests/batches/oproofs/s00002-r00003172-n000004.json
index a0159de94086e43bb737591a25e2c8d54e154d14..fe37926013bbe610e34099551f63b6a16b7f46e4 100644
--- a/manifests/batches/oproofs/s00002-r00003172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003172-n000004",
   "batch_fingerprint": "f08725e4e4273e6ec3f3a67b8392938bb0978a494ede0d9fbb8afc35af42296e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003172-n000004-0000-fd801bbb0d05ab99.parquet",
-      "sha256": "fd801bbb0d05ab990e4bf7ce397c1a8da77459393372983f1a182dc524579341",
-      "bytes": 165432,
-      "rows": 17,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003172-n000004-0000-e00bcd112d1d172d.parquet",
-      "sha256": "e00bcd112d1d172d6d8b9ace72bbd97c83904c068bf83f098b3248fec80f13bc",
-      "bytes": 148371,
-      "rows": 2,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003173.lean\",\"97b071ba631fc69e4878ce244f7fda17d0cabd7934975dc9570ea9bea0391244\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003174.lean\",\"0479e78f4227d8e2a15a807dea82ffb1c1c7160038a53a9fc6a8fe1d48063175\",0,\"average_score\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003175.lean\",\"14801be61d02661861b0abd750e6a0b7e6fc6e658a9598c456527962afd64393\",0,\"part1_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165432,
+      "path": "data/train/p44/oproofs-s00002-r00003172-n000004-0000-fd801bbb0d05ab99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fd801bbb0d05ab990e4bf7ce397c1a8da77459393372983f1a182dc524579341"
+    },
+    {
+      "bytes": 148371,
+      "path": "data/internal_test/p44/oproofs-s00002-r00003172-n000004-0000-e00bcd112d1d172d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e00bcd112d1d172d6d8b9ace72bbd97c83904c068bf83f098b3248fec80f13bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003176-n000004.json b/manifests/batches/oproofs/s00002-r00003176-n000004.json
index a22cad21731265ff451614169ff66e7d18688190..16892c1aa19f25057a8b4ffd9c804828fb181d24 100644
--- a/manifests/batches/oproofs/s00002-r00003176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003176-n000004",
   "batch_fingerprint": "175ddb5367ac0796c4d769d91f862b4c01f03c3f7d5cfedad5bbae9d91521184",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003176-n000004-0000-fd5d85a0eb8cfd3e.parquet",
-      "sha256": "fd5d85a0eb8cfd3e79a8319928a8e71a15879754facd906e8dacbb6ee282f3ec",
-      "bytes": 116007,
-      "rows": 17,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3177",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003177.lean\",\"cba40cfbcb3e8d648485cba56aa5c68443846835453c5b6993dfa157beae9f5e\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003178.lean\",\"0dea4907a8ecdf941e1101480b33f14d6e5b90b56bbfafeb1914d1b53cfa13b6\",0,\"skittles_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003179.lean\",\"e3e85497c580a63673176adb9bffa8157f2518332a48df5d6f4724f5531b50a1\",0,\"cookout_kids_2006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116007,
+      "path": "data/train/p3e/oproofs-s00002-r00003176-n000004-0000-fd5d85a0eb8cfd3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fd5d85a0eb8cfd3e79a8319928a8e71a15879754facd906e8dacbb6ee282f3ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003180-n000004.json b/manifests/batches/oproofs/s00002-r00003180-n000004.json
index 6f1511ade5442fa8c8d20b8ab8e879937b79e228..852806fe5047dabb6d58f3a2742e6298bbf04271 100644
--- a/manifests/batches/oproofs/s00002-r00003180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003180-n000004",
   "batch_fingerprint": "d0daf0d3644ef562a8f9c6b057a00dcc8b7b26ede0baa936e56f5e275d31f58b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003180-n000004-0000-127a90c3e0be7ce0.parquet",
-      "sha256": "127a90c3e0be7ce05ac9f05bf7778d0c0143b3bf44c1e91d30a43ba1acc4c242",
-      "bytes": 485796,
-      "rows": 24,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003181.lean\",\"4a8c9c7eeb8e8242a6f4a5d6e227cc4a92cbde88a145c6a82654d28f275d2860\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003182.lean\",\"1ed470fef6ac606967b203fba27dbf10f73f563d57caf1efde7ff07309854504\",0,\"framing_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003183.lean\",\"cea36e753ed28ab0073aa54b27db3798344e07fd9c465844001d39b0a29e580d\",0,\"f_increasing\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 485796,
+      "path": "data/train/p20/oproofs-s00002-r00003180-n000004-0000-127a90c3e0be7ce0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "127a90c3e0be7ce05ac9f05bf7778d0c0143b3bf44c1e91d30a43ba1acc4c242"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003184-n000004.json b/manifests/batches/oproofs/s00002-r00003184-n000004.json
index 032b667bccef46dd9130f9d642f60ef64ba73749..cd0303a52588f757bbd9801e301d1a01b5cd56a6 100644
--- a/manifests/batches/oproofs/s00002-r00003184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003184-n000004",
   "batch_fingerprint": "c916b7e4928fa13f1badc8e370167002259778f2fad0b30479898f9479004540",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003184-n000004-0000-b78ccc6dc824140b.parquet",
-      "sha256": "b78ccc6dc824140bae31eb4b3e1c0cb4605d1eecbbf5af3e76bf4da5bdf11905",
-      "bytes": 314546,
-      "rows": 13,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003185.lean\",\"b8d079b6a110861f89fb5989d3e8983e2fb2599abb9315bad2762f1751a35048\",0,\"lean_workbook_24792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003186.lean\",\"9333e4249e130575a027cb30b63ea0df84ad1c628c4c6f5d4a328c2026b5b6e8\",0,\"lean_workbook_plus_80644\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003187.lean\",\"c01347e0bb11798fe426d098ba02a843454bfe0f5dcf7905b9b393ed78e10fd7\",0,\"lean_workbook_plus_67799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314546,
+      "path": "data/train/pdd/oproofs-s00002-r00003184-n000004-0000-b78ccc6dc824140b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b78ccc6dc824140bae31eb4b3e1c0cb4605d1eecbbf5af3e76bf4da5bdf11905"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003188-n000004.json b/manifests/batches/oproofs/s00002-r00003188-n000004.json
index 973255232efd6adb4de739f89ce1e3d66e452eb7..599478730f11943c15bcba7e28a881b29f5ed87b 100644
--- a/manifests/batches/oproofs/s00002-r00003188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003188-n000004",
   "batch_fingerprint": "f51e1c6d02ce07770e3389954ef9b376e14b4f23b36d85b4d56eec886e456cbc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003188-n000004-0000-0cb2392a208ab3e8.parquet",
-      "sha256": "0cb2392a208ab3e810f19d3b4b59dd38923df82e6474af4003db8373effc9383",
-      "bytes": 185173,
-      "rows": 15,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003188-n000004-0000-b94f22c396805d7b.parquet",
-      "sha256": "b94f22c396805d7b07f7faedc6b41742dbca20b776c919d4c917a4e052d048ad",
-      "bytes": 95095,
-      "rows": 3,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003189.lean\",\"6d33de79e2ae1474d6fd6c299b69fe1b070b1f4995d774caf8f6f2ee40766ec8\",0,\"lean_workbook_plus_80498\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003190.lean\",\"ee181ee48cb14e30913eabc9cb36176cb888664d6b9b57a14422f73002ad4af8\",0,\"lean_workbook_plus_78852\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003191.lean\",\"f863b6dfb528c4bbafb0c1287eb3186866e5bbdd7c4b3ae1b82a17dceea16538\",0,\"lean_workbook_plus_63625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185173,
+      "path": "data/train/pf3/oproofs-s00002-r00003188-n000004-0000-0cb2392a208ab3e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0cb2392a208ab3e810f19d3b4b59dd38923df82e6474af4003db8373effc9383"
+    },
+    {
+      "bytes": 95095,
+      "path": "data/internal_test/pf3/oproofs-s00002-r00003188-n000004-0000-b94f22c396805d7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b94f22c396805d7b07f7faedc6b41742dbca20b776c919d4c917a4e052d048ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003192-n000004.json b/manifests/batches/oproofs/s00002-r00003192-n000004.json
index 6651581db4713a1ef32de7a0997ee695a6ade846..c0f505e146bdbd6667859dbb2e68ef4bb282c34a 100644
--- a/manifests/batches/oproofs/s00002-r00003192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003192-n000004",
   "batch_fingerprint": "329d882d1c130de2c2bf812866ed714b38ab5f9e5053158477cc461602295338",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003192-n000004-0000-fe9899d7689ad213.parquet",
-      "sha256": "fe9899d7689ad21340875db64801fee9333fd5a71135e71780105642b8b20a9c",
-      "bytes": 1073293,
-      "rows": 15,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003192-n000004-0001-85c832b56f07e19e.parquet",
-      "sha256": "85c832b56f07e19e97d30158b7bdde3c79178f835d640df319ab06ad86597c43",
-      "bytes": 803621,
-      "rows": 10,
-      "revision": "e03fea6495aa0e3e66c9363cf253ef2fbf3c04c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003193.lean\",\"e6fe803953d3d6eb2c25851e540911c3d7d70d294d57a7813e9fdad041f97460\",0,\"lean_workbook_plus_6548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003194.lean\",\"9a2d3443256d91fdb2486e7b64069c7f22a748503c877994c3ea559225278383\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003195.lean\",\"2bbef6625b98f4093ce8bf19a6b42fcb65994112ce1c8b0989057953dd1d1e6d\",0,\"average_rainfall\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1073293,
+      "path": "data/train/p67/oproofs-s00002-r00003192-n000004-0000-fe9899d7689ad213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fe9899d7689ad21340875db64801fee9333fd5a71135e71780105642b8b20a9c"
+    },
+    {
+      "bytes": 803621,
+      "path": "data/train/p67/oproofs-s00002-r00003192-n000004-0001-85c832b56f07e19e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "85c832b56f07e19e97d30158b7bdde3c79178f835d640df319ab06ad86597c43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003196-n000004.json b/manifests/batches/oproofs/s00002-r00003196-n000004.json
index 7054dcb7c5034eca50c2273644b7be04e7470079..853ba9d3e27fc7b73012db4c6485d73e991d59fa 100644
--- a/manifests/batches/oproofs/s00002-r00003196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003196-n000004",
   "batch_fingerprint": "1c82e7dfa3c6cacf3618919fcf5698f8b75a64bb59b4a3f9d6d9e3bacef61af3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003196-n000004-0000-375f15467d043397.parquet",
-      "sha256": "375f15467d0433976619180302dbf6eca2311ac260d227c747d9c317c5f750f9",
-      "bytes": 248635,
-      "rows": 18,
-      "revision": "ea4072eafa0dc73cd558737a16a9158b29aa87be"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003197.lean\",\"c2b75e0f7cd10b93a7e54a071eda5c13575d7622914958e9e94bf4c419ec0a11\",0,\"gcd_fact_b\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003198.lean\",\"4e0eea5754225bb2933e0d6b08a806a8faff5c7e0e63f41dd88c8c6979bd3acd\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003199.lean\",\"0f152f5f33d50ec1cad954f81a59ae5221f062a0bd7d8d6a2f60ebd3f024ce17\",0,\"total_price_with_voucher\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248635,
+      "path": "data/train/pdc/oproofs-s00002-r00003196-n000004-0000-375f15467d043397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "375f15467d0433976619180302dbf6eca2311ac260d227c747d9c317c5f750f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003200-n000004.json b/manifests/batches/oproofs/s00002-r00003200-n000004.json
index ea276638f7c998dd9318f19425db9c3582720e5c..5e6f31ab6ea1e3b4463db9555f3b5290243a5b99 100644
--- a/manifests/batches/oproofs/s00002-r00003200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003200-n000004",
   "batch_fingerprint": "f037d5e7061c9ee8aad2ad68bafae594ca2de9f0427b921e44426b6cf73f5ed7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003200-n000004-0000-6e0bcc205678e16f.parquet",
-      "sha256": "6e0bcc205678e16fc6e0a2b2802f7299c8a931fc74489d24d3e8515ae12299c4",
-      "bytes": 184925,
-      "rows": 16,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003200-n000004-0000-504915014a7ea70b.parquet",
-      "sha256": "504915014a7ea70b61030a3456bd7d77a1e0f131aadac6576919571760b39d59",
-      "bytes": 68879,
-      "rows": 8,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003201.lean\",\"4b25aa69e74421f70e1b445e27a76b91c1cb2f3b3deb4898847fad7aaa321708\",0,\"mats_weaved_in_12_days\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003202.lean\",\"cdeb149f97a0a93c732e5f290f76640cf419a5183d13417e326d9020e7f215b3\",0,\"bill_healthcare_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003203.lean\",\"08ca50a01ed5c4e2e3bcb49fee61d40627dc5c5a99b7e6ee8de20a95134f5af3\",0,\"area_ratio_small_to_large_paddock\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184925,
+      "path": "data/train/p59/oproofs-s00002-r00003200-n000004-0000-6e0bcc205678e16f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6e0bcc205678e16fc6e0a2b2802f7299c8a931fc74489d24d3e8515ae12299c4"
+    },
+    {
+      "bytes": 68879,
+      "path": "data/internal_test/p59/oproofs-s00002-r00003200-n000004-0000-504915014a7ea70b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "504915014a7ea70b61030a3456bd7d77a1e0f131aadac6576919571760b39d59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003204-n000004.json b/manifests/batches/oproofs/s00002-r00003204-n000004.json
index 99539a4e8024c054d0ca8e4fb989342af241cde7..9960e6a8b45b7ff970933441edf3fe0678fe663c 100644
--- a/manifests/batches/oproofs/s00002-r00003204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003204-n000004",
   "batch_fingerprint": "0122dfc50d0d496fc0af7141490c4735b0e476cd25b6b069f1974d6a9070ce46",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003204-n000004-0000-6d901a4466bc396f.parquet",
-      "sha256": "6d901a4466bc396f75841c7536e7c22087cd916cfdb253ef4685de0bc537e29a",
-      "bytes": 190901,
-      "rows": 16,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003204-n000004-0000-af819f6e0bc23c90.parquet",
-      "sha256": "af819f6e0bc23c902453b57fea0b71fd963d8421f45ed5db7a47d3034dd4b153",
-      "bytes": 125494,
-      "rows": 16,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003205.lean\",\"677483220918d45d939279fed7e85359343c1f316a137a760065ec6c50aebd10\",0,\"semicircle_circumference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003206.lean\",\"30e1d7994437401c3210e30ece33a859f4cf65371e2f882841fce4e6b049366d\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003207.lean\",\"3d172c86071232d3a94ed44a6c273141fa5ce21e9060038f298baeb3682216a1\",0,\"largest_unattainable_amount\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190901,
+      "path": "data/train/p9f/oproofs-s00002-r00003204-n000004-0000-6d901a4466bc396f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6d901a4466bc396f75841c7536e7c22087cd916cfdb253ef4685de0bc537e29a"
+    },
+    {
+      "bytes": 125494,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00003204-n000004-0000-af819f6e0bc23c90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "af819f6e0bc23c902453b57fea0b71fd963d8421f45ed5db7a47d3034dd4b153"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003208-n000004.json b/manifests/batches/oproofs/s00002-r00003208-n000004.json
index 16cbd5e02dcefc37196c67606f1ff8cf8f8b5c03..dd705e3a0bd59f989f48fc8f140735499923a6f0 100644
--- a/manifests/batches/oproofs/s00002-r00003208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003208-n000004",
   "batch_fingerprint": "9c0811beecce9c4b527782029b86ac3a7f016b2ed96f7e6beb96c79fdff69858",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3208",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3209",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3210",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3211"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003208.lean\",\"645e89e01d81edc92a987e9a0ce834f4c183902eb10fdf42a872f2796756912f\",0,\"value_range_of_neg_sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003209.lean\",\"de038e040f999cc5b70ab83b8dbcdbaf290d05cdfb394eb48b84eb1970525ecb\",0,\"trig_identity\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003210.lean\",\"0682bb93a342f673f06c0c91060f1ae9c344cbf5b3b2e636cb4e8c4af97334d2\",0,\"min_value_of_M\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003211.lean\",\"e7b910e0710c7bc04d4e8049e8f470a3396cabcf1215e1b73480b05e06a9e55a\",0,\"total_sacks\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003208-n000004-0000-407006da169a42ca.parquet",
-      "sha256": "407006da169a42ca94562fee3cd1de11315366ea54c12d7456b9664ef3f5c6b9",
       "bytes": 716695,
+      "path": "data/train/pb0/oproofs-s00002-r00003208-n000004-0000-407006da169a42ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "407006da169a42ca94562fee3cd1de11315366ea54c12d7456b9664ef3f5c6b9"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003208-n000004-0000-dec2110eff7c2a52.parquet",
-      "sha256": "dec2110eff7c2a5260cd773e0e98cf142e00bbf982b793e751454b7ab4d30069",
       "bytes": 108437,
+      "path": "data/dev/pb0/oproofs-s00002-r00003208-n000004-0000-dec2110eff7c2a52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "dec2110eff7c2a5260cd773e0e98cf142e00bbf982b793e751454b7ab4d30069"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003208-n000004-0000-41fae12d90040e5d.parquet",
-      "sha256": "41fae12d90040e5d052ec7d405a53a961ecc1cbaa34083b9eaf427d8bf4ea7e7",
       "bytes": 97256,
+      "path": "data/internal_test/pb0/oproofs-s00002-r00003208-n000004-0000-41fae12d90040e5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "41fae12d90040e5d052ec7d405a53a961ecc1cbaa34083b9eaf427d8bf4ea7e7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3208",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3209",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3210",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3211"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003208.lean\",\"645e89e01d81edc92a987e9a0ce834f4c183902eb10fdf42a872f2796756912f\",0,\"value_range_of_neg_sin\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003209.lean\",\"de038e040f999cc5b70ab83b8dbcdbaf290d05cdfb394eb48b84eb1970525ecb\",0,\"trig_identity\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003210.lean\",\"0682bb93a342f673f06c0c91060f1ae9c344cbf5b3b2e636cb4e8c4af97334d2\",0,\"min_value_of_M\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003211.lean\",\"e7b910e0710c7bc04d4e8049e8f470a3396cabcf1215e1b73480b05e06a9e55a\",0,\"total_sacks\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003212-n000004.json b/manifests/batches/oproofs/s00002-r00003212-n000004.json
index e0e238d5924909467b59ec646a1a4479b1c1a316..fc4809cb7a23d8d44a00b0081104bfc69131f207 100644
--- a/manifests/batches/oproofs/s00002-r00003212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003212-n000004",
   "batch_fingerprint": "2cd7f98133df193151362afde3681a5903ac25bc9b3e25ddf7bcd83e9aa52130",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003212-n000004-0000-5977282f133c6649.parquet",
-      "sha256": "5977282f133c6649326ec96eb56ac0162b6d945bdbc3034c0c2ffea7876733aa",
-      "bytes": 295857,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003212-n000004-0000-aec929dba0408d16.parquet",
-      "sha256": "aec929dba0408d16b00d57b9fe72fbdc8288a5ef9487eb1fb7c807171b399bc7",
-      "bytes": 154653,
-      "rows": 10,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3213",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003213.lean\",\"55e2ad86edd1726065e395e1425d515f1f8402963c4ab33be3dafb669f0804ed\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003214.lean\",\"82e36f2c31b31530be42a2b1a9dddabe16c618a43b63cb52dc08a6a98a52b98f\",0,\"area_of_square_inscribed_in_parabola\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003215.lean\",\"108aace6487e62dda024509f0b179c14f62571e4eec3a1fda272f57239da5b41\",0,\"broken_marble_percentage\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295857,
+      "path": "data/train/pdc/oproofs-s00002-r00003212-n000004-0000-5977282f133c6649.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5977282f133c6649326ec96eb56ac0162b6d945bdbc3034c0c2ffea7876733aa"
+    },
+    {
+      "bytes": 154653,
+      "path": "data/dev/pdc/oproofs-s00002-r00003212-n000004-0000-aec929dba0408d16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "aec929dba0408d16b00d57b9fe72fbdc8288a5ef9487eb1fb7c807171b399bc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003216-n000004.json b/manifests/batches/oproofs/s00002-r00003216-n000004.json
index fb04384a1585ab97e2275fdebc2e9e69a200a87e..617716084c59f9fef1268c2309779ba7dc542d29 100644
--- a/manifests/batches/oproofs/s00002-r00003216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003216-n000004",
   "batch_fingerprint": "16a1b0bbc41757c8bbf4d339aba61c47788d3cca6cb03b15eca407af48f1f086",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003216-n000004-0000-afbe43e31bfde61b.parquet",
-      "sha256": "afbe43e31bfde61b418a9bee94532f6032836967d37f232e52119ba163b19115",
-      "bytes": 193831,
-      "rows": 12,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003216-n000004-0000-a2ffa0d8fe4549d9.parquet",
-      "sha256": "a2ffa0d8fe4549d9251ebb272e3f235b8f8d15fc60642b9ae3b537c753549798",
-      "bytes": 279075,
-      "rows": 4,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003217.lean\",\"53c4076273c06c3cd135585bb28387452fbbd70b590ddb3aae050764de739792\",0,\"limit_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003218.lean\",\"21c9b45e64071526ff34b27798902d19faa9c5b9e4085cd64f1a3a52188b92a1\",0,\"interest_rate\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003219.lean\",\"b9f32d457f44631afb5a38d5c0c0407a4a70cb01387bec7597db9ef8bd1089d2\",0,\"integral_example\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193831,
+      "path": "data/train/pa6/oproofs-s00002-r00003216-n000004-0000-afbe43e31bfde61b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "afbe43e31bfde61b418a9bee94532f6032836967d37f232e52119ba163b19115"
+    },
+    {
+      "bytes": 279075,
+      "path": "data/dev/pa6/oproofs-s00002-r00003216-n000004-0000-a2ffa0d8fe4549d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a2ffa0d8fe4549d9251ebb272e3f235b8f8d15fc60642b9ae3b537c753549798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003220-n000004.json b/manifests/batches/oproofs/s00002-r00003220-n000004.json
index c36d4dd3daf3b5e9af9a8f8952455c21b3afc2a9..83d5e6f0cc10bbc2582ec4878a4ec84df587629a 100644
--- a/manifests/batches/oproofs/s00002-r00003220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003220-n000004",
   "batch_fingerprint": "1cdc3a89a80591cf512948dbda4920cad5266fc634888453d1a623468d48669c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003220-n000004-0000-142df40bb13a0305.parquet",
-      "sha256": "142df40bb13a0305a46f91de6eca98f0b2d353a342eb65fe1f8891ac6377df28",
-      "bytes": 199792,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003220-n000004-0000-ecf9fc680bb2a85c.parquet",
-      "sha256": "ecf9fc680bb2a85c3ea9eb0d4076796cdbda653856710248fc1274ddd24ceb7c",
-      "bytes": 218161,
-      "rows": 14,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003221.lean\",\"03c98562acec23db55c9dec53b56e6f6e5eb305f28d6852ca8cb5e9727c3ff59\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003222.lean\",\"a006c4b08af5ff471bc691f5bbf87595dec2cb3d7471e594a9f887b985eb9f11\",0,\"total_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003223.lean\",\"5fcdd7745d8803c2adf29af15fb11a3608a31bc3daccc7062c7e5caf907d13ed\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199792,
+      "path": "data/train/p04/oproofs-s00002-r00003220-n000004-0000-142df40bb13a0305.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "142df40bb13a0305a46f91de6eca98f0b2d353a342eb65fe1f8891ac6377df28"
+    },
+    {
+      "bytes": 218161,
+      "path": "data/internal_test/p04/oproofs-s00002-r00003220-n000004-0000-ecf9fc680bb2a85c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ecf9fc680bb2a85c3ea9eb0d4076796cdbda653856710248fc1274ddd24ceb7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003224-n000004.json b/manifests/batches/oproofs/s00002-r00003224-n000004.json
index f51e3c6b9ae00e86ecfe5bb7dd3917fee79f634f..5a7cc83bae6cce1980de842c96e4fae4193ff1e9 100644
--- a/manifests/batches/oproofs/s00002-r00003224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003224-n000004",
   "batch_fingerprint": "20c0896b990c78ef61799534b624d83ea7fab85eef4a04e9aa4c9b38911f4d2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003224-n000004-0000-766b63d1e037106c.parquet",
-      "sha256": "766b63d1e037106ca4c7d95a58ce9684361cf70ca4ed4c469f1d6387a4dbfbb0",
-      "bytes": 324808,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003224-n000004-0000-dd17e42690ee4bca.parquet",
-      "sha256": "dd17e42690ee4bcafd4cc99ad9dce03d9042b609139020f0e045f02d06908b2a",
-      "bytes": 78720,
-      "rows": 11,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3225",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003225.lean\",\"4c22b2865be235fd485b28623ca74b242c5b952a2d472a7da542cc628a94e18b\",0,\"reverse_engineering_second_year_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003226.lean\",\"d36a0bdea8aa8c0e1a287d760eab94592520802f622763e33c2488c70f7e54fa\",0,\"average_score\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003227.lean\",\"08b5dd1ffef3b29d2a4a45f499a80cbedf99a4a003be3d4b16acf9f7b6e7b325\",0,\"part1_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324808,
+      "path": "data/train/p31/oproofs-s00002-r00003224-n000004-0000-766b63d1e037106c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "766b63d1e037106ca4c7d95a58ce9684361cf70ca4ed4c469f1d6387a4dbfbb0"
+    },
+    {
+      "bytes": 78720,
+      "path": "data/dev/p31/oproofs-s00002-r00003224-n000004-0000-dd17e42690ee4bca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "dd17e42690ee4bcafd4cc99ad9dce03d9042b609139020f0e045f02d06908b2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003228-n000004.json b/manifests/batches/oproofs/s00002-r00003228-n000004.json
index 5df619b4798768e220f99954b2116b700bcda481..7fd21ec2934b1f208da61ab680abc86a9b2d0aad 100644
--- a/manifests/batches/oproofs/s00002-r00003228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003228-n000004",
   "batch_fingerprint": "f0f5a7be4b62d555afec8a2be60edd9e3c8e535f3e5f3cb09a7de2f3ca5262e2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003228-n000004-0000-0dc5e94bc2d779d7.parquet",
-      "sha256": "0dc5e94bc2d779d706943a1c9ec2a3912a3aa9f1684e7ec1df0b9b22cf676c3c",
-      "bytes": 176520,
-      "rows": 15,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3229",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003229.lean\",\"fb54e404658305d2f0e8ce896818e3db2b22d9d1d8074f700ef792b64aa315a3\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003230.lean\",\"d2b7b72b1f371c8a18977309d0bc0c275ca2550000a7d9da31d6b06a64049f2d\",0,\"average_speed\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003231.lean\",\"a31333bb67ba0686a902e87705aa1e06bfede9e3e42fcd6a5cd2df1c0eb3498d\",0,\"cookout_kids_2006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176520,
+      "path": "data/train/p73/oproofs-s00002-r00003228-n000004-0000-0dc5e94bc2d779d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0dc5e94bc2d779d706943a1c9ec2a3912a3aa9f1684e7ec1df0b9b22cf676c3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003232-n000004.json b/manifests/batches/oproofs/s00002-r00003232-n000004.json
index 7e443285f2d026bce41808e1e8f40d4a23af76fa..2f410676a894deb34b52a7d72d2c0a8122babfa0 100644
--- a/manifests/batches/oproofs/s00002-r00003232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003232-n000004",
   "batch_fingerprint": "c1948f3f43dddab0cb4111312e3f684222d9ee2e9d5cf61f730a2114b16e8e9f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003232-n000004-0000-60c810f4caf9decb.parquet",
-      "sha256": "60c810f4caf9decb7c1b865afc8472098c5d663d0cf82150ccb689f2f16472f4",
-      "bytes": 266786,
-      "rows": 13,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003232-n000004-0000-04a7ac6ede54e21e.parquet",
-      "sha256": "04a7ac6ede54e21e7981297343a69c44ffb9c85b0aace0e1f253420901da5e32",
-      "bytes": 153761,
-      "rows": 2,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3233",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003233.lean\",\"7f3228fce8d9ec477ba98ad59e273c438f8cbb9cd9a19c12b56e032cdc2bf263\",0,\"framing_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003234.lean\",\"d86a10dc6b44dbc3aadc19331fec3069dfe0e0b01ac32915c42d350672452f58\",0,\"smallest_angle_satisfying_eq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003235.lean\",\"62b371e8d6eff4d896e676a567d2eebf3ed8c139d1c87bd5df884ab6f85b68d5\",0,\"f_increasing\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266786,
+      "path": "data/train/p18/oproofs-s00002-r00003232-n000004-0000-60c810f4caf9decb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "60c810f4caf9decb7c1b865afc8472098c5d663d0cf82150ccb689f2f16472f4"
+    },
+    {
+      "bytes": 153761,
+      "path": "data/internal_test/p18/oproofs-s00002-r00003232-n000004-0000-04a7ac6ede54e21e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "04a7ac6ede54e21e7981297343a69c44ffb9c85b0aace0e1f253420901da5e32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003236-n000004.json b/manifests/batches/oproofs/s00002-r00003236-n000004.json
index ab44889e35f60778de3c7f7d7452ab44f346db4d..23db9d4aa805098eeafb3b27e82d887856be8b81 100644
--- a/manifests/batches/oproofs/s00002-r00003236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003236-n000004",
   "batch_fingerprint": "cb87d3d8d60c8419e11400c81a9b27866d5031a1c0fb9717aa4a3db3238bdbf2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003236-n000004-0000-1ea15a6e5c86803f.parquet",
-      "sha256": "1ea15a6e5c86803f3c0157b8844ffeed1054b02f846f6ba2225b521faa8770db",
-      "bytes": 552164,
-      "rows": 12,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003237.lean\",\"3185b5fbee7d9d6cfd9876d3b817c1fd02695822b7db9163bd2b7333c807e6df\",0,\"lean_workbook_plus_80644\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003238.lean\",\"6ff247d8866aff0ef476e145dafde9559b5c218a4db32f8dc05241d37a76a963\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003239.lean\",\"a096b84adb99da58438aa05edcec95e1fbeca75ae41c56b3e55e407a0c29d9c1\",0,\"lean_workbook_plus_67799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552164,
+      "path": "data/train/p84/oproofs-s00002-r00003236-n000004-0000-1ea15a6e5c86803f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1ea15a6e5c86803f3c0157b8844ffeed1054b02f846f6ba2225b521faa8770db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003240-n000004.json b/manifests/batches/oproofs/s00002-r00003240-n000004.json
index 76213a7c70cd9375ff64223513767173879bd658..a094b25efbb8ce465d247a2e7250ee366d7f9ce7 100644
--- a/manifests/batches/oproofs/s00002-r00003240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003240-n000004",
   "batch_fingerprint": "e1bfc7ae9ef1fd27e4b9f627049faf82c0f6096cd9db81c3e7d74c0aad5da8b7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003240-n000004-0000-ec91a164e8983d64.parquet",
-      "sha256": "ec91a164e8983d644543c382a10cb9875c3923df9be805a4fbea56b78bd65806",
-      "bytes": 657932,
-      "rows": 20,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003241.lean\",\"25db3d08bba52aaea2a4382325b3aee06aead1c9bcf3497d13a2bcb9fc8ecf4f\",0,\"lean_workbook_plus_36828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003242.lean\",\"dd4e6e41df38820861aadfaf360970117cafe26a5d589956d8e8a036b1586e26\",0,\"alpha_beta_together_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003243.lean\",\"b7fa812a5045137b21bfbe1de0be15cd6ceb16a0a7b15d08abc5253c42b3d623\",0,\"lean_workbook_plus_78852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 657932,
+      "path": "data/train/p46/oproofs-s00002-r00003240-n000004-0000-ec91a164e8983d64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ec91a164e8983d644543c382a10cb9875c3923df9be805a4fbea56b78bd65806"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003244-n000004.json b/manifests/batches/oproofs/s00002-r00003244-n000004.json
index c713b0f1e94aee40eea19f10068dce53c5217f02..50371d7043747f6ba7156a5949d13dbd10108ddf 100644
--- a/manifests/batches/oproofs/s00002-r00003244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003244-n000004",
   "batch_fingerprint": "4f8474ee23e6c909fbd10bd4facfc66dc51b50c4cbff68106317e64dee84c9e3",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003244-n000004-0000-00ba38ea223ac79e.parquet",
-      "sha256": "00ba38ea223ac79eea34399c633053493d9c825d021d505ed6f399b493a04b1a",
-      "bytes": 253916,
-      "rows": 14,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003244-n000004-0000-f78e631b85e6ba74.parquet",
-      "sha256": "f78e631b85e6ba74607beea6ffe0d1aafa06c47df6c9c95f828c2f0d5ef2bf72",
-      "bytes": 51779,
-      "rows": 2,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3245",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003244.lean\",\"10320b3c612a2b394a0acd396982559f66cce404a9bc847ff9526ae7f524dcb6\",0,\"lean_workbook_plus_80498\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003245.lean\",\"69cef2311e6a9932ad5e77279e5755f3403d005aa2693481d9cc6746f52499b6\",0,\"lean_workbook_plus_16571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003246.lean\",\"e302adab6acab6d60b1f85a32ba2a91f6dfa170de9b5af9baa6d8ccbd9224544\",0,\"lean_workbook_plus_63625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253916,
+      "path": "data/train/pbc/oproofs-s00002-r00003244-n000004-0000-00ba38ea223ac79e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "00ba38ea223ac79eea34399c633053493d9c825d021d505ed6f399b493a04b1a"
+    },
+    {
+      "bytes": 51779,
+      "path": "data/internal_test/pbc/oproofs-s00002-r00003244-n000004-0000-f78e631b85e6ba74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f78e631b85e6ba74607beea6ffe0d1aafa06c47df6c9c95f828c2f0d5ef2bf72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003248-n000004.json b/manifests/batches/oproofs/s00002-r00003248-n000004.json
index 2976b6ea6f1659e0bf0f8ba6e83bedb90d7ffc83..4b43ac7cceab8f749999b6ddf16909b90d4d167b 100644
--- a/manifests/batches/oproofs/s00002-r00003248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003248-n000004",
   "batch_fingerprint": "917a36733642bc1283b392111e9676febe39464732f2dd9638677f23c09987cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003248-n000004-0000-4ca75e34a1e32187.parquet",
-      "sha256": "4ca75e34a1e3218749896ab90db15a2e3fcb993bde02b6dc17b9fcd97f70bfd6",
-      "bytes": 141651,
-      "rows": 8,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003248-n000004-0000-ea0cd4a69ee883b7.parquet",
-      "sha256": "ea0cd4a69ee883b72fffa23c433757c69ec09bdd2649a69d225ad0b0de2d005e",
-      "bytes": 36716,
-      "rows": 5,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003249.lean\",\"ecea88383e77ec714ac8ca11d6380411031c67c6070905e51b9203c5ab0b502a\",0,\"average_rainfall\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003250.lean\",\"00624ef91167503e62aa14487f0249c026988d95f21d518a035c671020eeea8c\",0,\"total_profit_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003251.lean\",\"226981c9823a5909a3684c48d6cb9554d8b2704967d91d65a729cab3baca279c\",0,\"total_price_with_voucher\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141651,
+      "path": "data/train/p6a/oproofs-s00002-r00003248-n000004-0000-4ca75e34a1e32187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4ca75e34a1e3218749896ab90db15a2e3fcb993bde02b6dc17b9fcd97f70bfd6"
+    },
+    {
+      "bytes": 36716,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00003248-n000004-0000-ea0cd4a69ee883b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ea0cd4a69ee883b72fffa23c433757c69ec09bdd2649a69d225ad0b0de2d005e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003252-n000004.json b/manifests/batches/oproofs/s00002-r00003252-n000004.json
index 8889f1f01ed4babcb6c3310b12b9378613517b6e..40637873d5854c17a5b4fe93c3a46933f8a36ffb 100644
--- a/manifests/batches/oproofs/s00002-r00003252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003252-n000004",
   "batch_fingerprint": "9d1d30d931b5601cbdb4676908f3fa60f4e2ad967521c58bef8e30935a8b30ac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003252-n000004-0000-27e6344a5ec58155.parquet",
-      "sha256": "27e6344a5ec58155e6fee52911f023ef571ef563741dff917d3a4b01c289f5ec",
-      "bytes": 75620,
-      "rows": 15,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003252-n000004-0000-dbb7461a19281285.parquet",
-      "sha256": "dbb7461a19281285c6be25bec6e72f3b2764dce3fc8e62f169dda8e15e72b2cf",
-      "bytes": 71719,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003253.lean\",\"5e5cf63d60c9de72251d010cb5acc0eed076148544702828b6bf3eb3a7af7f8b\",0,\"area_ratio_small_to_large_paddock\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003254.lean\",\"deeeeb746ae106da7e5460928971cf2b44ebafed5340534d7df9d0410f4d7c81\",0,\"bill_healthcare_cost\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003255.lean\",\"3fd38ccd6e51cd539483201ce2ee058711301b22db6e2572e80672487d06c7a6\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75620,
+      "path": "data/train/p97/oproofs-s00002-r00003252-n000004-0000-27e6344a5ec58155.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "27e6344a5ec58155e6fee52911f023ef571ef563741dff917d3a4b01c289f5ec"
+    },
+    {
+      "bytes": 71719,
+      "path": "data/internal_test/p97/oproofs-s00002-r00003252-n000004-0000-dbb7461a19281285.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dbb7461a19281285c6be25bec6e72f3b2764dce3fc8e62f169dda8e15e72b2cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003256-n000004.json b/manifests/batches/oproofs/s00002-r00003256-n000004.json
index dca871c3268f2651e5cccb62ecc91099b4cbe16a..427610607eb683532b3fde99e536e2b289401bd2 100644
--- a/manifests/batches/oproofs/s00002-r00003256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003256-n000004",
   "batch_fingerprint": "70414f47c061b43def82a84404a51d5ccffe0ec217f88b7ecca31f1455382903",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003256-n000004-0000-05e96702f499cd71.parquet",
-      "sha256": "05e96702f499cd71f08591be3999e9c5eae334dd772a9881ea2178fb8d647cc4",
-      "bytes": 144929,
-      "rows": 17,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003256-n000004-0000-467743c7582ebe98.parquet",
-      "sha256": "467743c7582ebe981dd00cd6d3a1ea019d36558e31e616a098ccbf5ba48bd6ed",
-      "bytes": 100597,
-      "rows": 6,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003257.lean\",\"63723c8751c789ceff0589d5f60141994e588755118b89bad7361a1e20696a3b\",0,\"work_done\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003258.lean\",\"12e03592ae76278b888dff39998ea1f33241e4b7c1ff39eb454d05db8d0ea998\",0,\"semicircle_circumference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003259.lean\",\"809166d3a5195882b773b86e69924cdb0f05cb959cb2b1ec787f14ccf286fb11\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144929,
+      "path": "data/train/p04/oproofs-s00002-r00003256-n000004-0000-05e96702f499cd71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "05e96702f499cd71f08591be3999e9c5eae334dd772a9881ea2178fb8d647cc4"
+    },
+    {
+      "bytes": 100597,
+      "path": "data/internal_test/p04/oproofs-s00002-r00003256-n000004-0000-467743c7582ebe98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "467743c7582ebe981dd00cd6d3a1ea019d36558e31e616a098ccbf5ba48bd6ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003260-n000004.json b/manifests/batches/oproofs/s00002-r00003260-n000004.json
index a9010d7c51a0a0c07061bd70e8410e72760281fa..294bd8953c59d96a4e627eeaaf4158e0ffa3b1ed 100644
--- a/manifests/batches/oproofs/s00002-r00003260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003260-n000004",
   "batch_fingerprint": "629fe52cfea75275681413ead81ce75161e520335e1f79535f72178cbbb182fb",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3260",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3261",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3262",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3263"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003260.lean\",\"1457e0fa96e7be9074507ef4b6ef22d883dd16d35b2cc3da3a0aa6c0cea7f95c\",0,\"sum_le_one_probability\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003261.lean\",\"9980614becd41a18968c256eecd6d0ad7087154419a1897cf8f48b8429de6488\",0,\"sum_product_fractions\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003262.lean\",\"38515c4b04570bced1992bf036757fc17cd3333da06f6e5f5834001bae7af7e8\",0,\"value_range_of_neg_sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003263.lean\",\"4af6ec922c648e66bafa391b3db78c59dddaea8b4fe6c0f30dfd4501c3639451\",0,\"min_value_of_M\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003260-n000004-0000-10476dbdb9d44100.parquet",
-      "sha256": "10476dbdb9d44100f8a0b50e82fb8246a22e0b3c08c7c248ce35387315085052",
       "bytes": 203303,
+      "path": "data/train/p98/oproofs-s00002-r00003260-n000004-0000-10476dbdb9d44100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "10476dbdb9d44100f8a0b50e82fb8246a22e0b3c08c7c248ce35387315085052"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003260-n000004-0000-ace2b328f88f2f36.parquet",
-      "sha256": "ace2b328f88f2f3616e1be681cefdc5a824251e66cf72fab2e79fb793900dace",
       "bytes": 104008,
+      "path": "data/dev/p98/oproofs-s00002-r00003260-n000004-0000-ace2b328f88f2f36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "ace2b328f88f2f3616e1be681cefdc5a824251e66cf72fab2e79fb793900dace"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003260-n000004-0000-230c929a93f3547c.parquet",
-      "sha256": "230c929a93f3547c7cdcd9e960288d32413245df9809cf0d9a7e964d6379173a",
       "bytes": 92836,
+      "path": "data/internal_test/p98/oproofs-s00002-r00003260-n000004-0000-230c929a93f3547c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "230c929a93f3547c7cdcd9e960288d32413245df9809cf0d9a7e964d6379173a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3260",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3261",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3262",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3263"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003260.lean\",\"1457e0fa96e7be9074507ef4b6ef22d883dd16d35b2cc3da3a0aa6c0cea7f95c\",0,\"sum_le_one_probability\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003261.lean\",\"9980614becd41a18968c256eecd6d0ad7087154419a1897cf8f48b8429de6488\",0,\"sum_product_fractions\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003262.lean\",\"38515c4b04570bced1992bf036757fc17cd3333da06f6e5f5834001bae7af7e8\",0,\"value_range_of_neg_sin\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003263.lean\",\"4af6ec922c648e66bafa391b3db78c59dddaea8b4fe6c0f30dfd4501c3639451\",0,\"min_value_of_M\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003264-n000004.json b/manifests/batches/oproofs/s00002-r00003264-n000004.json
index a1fee638f8e6cf3ed51b19f7a10d725a53f32771..1ef655364add0d5bc4a852f4b5be8473b3d55bd9 100644
--- a/manifests/batches/oproofs/s00002-r00003264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003264-n000004",
   "batch_fingerprint": "7b0a0287a55cb518c86d08dbe3138b5925f7e260888c37be461ea68584a4343e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003264-n000004-0000-0892b5ee2ae74b47.parquet",
-      "sha256": "0892b5ee2ae74b473d1f89ae293d67459e41085305cb8c8721938b40ab4f891b",
-      "bytes": 187134,
-      "rows": 16,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003264-n000004-0000-6b438437a042b0fc.parquet",
-      "sha256": "6b438437a042b0fca81150e33e325bbf45623e483ce749441ece985ac2770a24",
-      "bytes": 100750,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003265.lean\",\"49e2cd43fbf00b0c895582534f2e96adc9145ef94cfdb561b8d1e33b10db6d46\",0,\"total_sacks\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003266.lean\",\"ab0c171a495544e369b90b1e6b7d93fb85ae6d4d03ef288b29e02026c948678d\",0,\"degree_product_composition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003267.lean\",\"9f79d77cf891ae37e695223251abc008bbd153361c6903fdfd05c64d0f04ef30\",0,\"area_of_square_inscribed_in_parabola\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187134,
+      "path": "data/train/p8d/oproofs-s00002-r00003264-n000004-0000-0892b5ee2ae74b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0892b5ee2ae74b473d1f89ae293d67459e41085305cb8c8721938b40ab4f891b"
+    },
+    {
+      "bytes": 100750,
+      "path": "data/dev/p8d/oproofs-s00002-r00003264-n000004-0000-6b438437a042b0fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6b438437a042b0fca81150e33e325bbf45623e483ce749441ece985ac2770a24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003268-n000004.json b/manifests/batches/oproofs/s00002-r00003268-n000004.json
index 980cfea23a1727ee9845eab2919c0c0eb97f3677..9625c02f3769e7ec9be39c4814cb92be4686b3ba 100644
--- a/manifests/batches/oproofs/s00002-r00003268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003268-n000004",
   "batch_fingerprint": "ed0e1870b3fc7b49f2c3551f230c3f88e77f11a0ee28488778f06170d46a0a95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003268-n000004-0000-ade6cbc48e9b7e23.parquet",
-      "sha256": "ade6cbc48e9b7e23366b25e1a08aa8953755497963a0e6b22da2ea214e2d27ae",
-      "bytes": 415282,
-      "rows": 11,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003269.lean\",\"dc087adbe5dffd51a8c33c8a488ea81387d655903cfa678df0c334b4cab8186a\",0,\"dice_sum_perfect_square_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003270.lean\",\"75e9952685a4ebb62b3516f3b2c9279abc4432e151952eecd73fab8d17ca9bd0\",0,\"limit_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003271.lean\",\"c155a1a1f7609807b97c7fb21b6df266bac21877c63d55911369450f65c07fc5\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 415282,
+      "path": "data/train/pa0/oproofs-s00002-r00003268-n000004-0000-ade6cbc48e9b7e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ade6cbc48e9b7e23366b25e1a08aa8953755497963a0e6b22da2ea214e2d27ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003272-n000004.json b/manifests/batches/oproofs/s00002-r00003272-n000004.json
index 24684ca75dea97f30b7b5640a99f4175750451c4..4eb72097e8857e0fcef2d7fce89c9c6817e0bc7a 100644
--- a/manifests/batches/oproofs/s00002-r00003272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003272-n000004",
   "batch_fingerprint": "66aad1e84d678d3e8414d32ce8b55e7ec7eb09eab8f78743e2b42305b1fad029",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003272-n000004-0000-0ab668096886c2fe.parquet",
-      "sha256": "0ab668096886c2fe0fb97970551664e91bb95c99a279cd056dd3747304ff8a5d",
-      "bytes": 123392,
-      "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003272-n000004-0000-1613ad4f83ec3b0c.parquet",
-      "sha256": "1613ad4f83ec3b0c29841406da57f30b79023f563fc70e558e6e1129be950966",
-      "bytes": 242052,
-      "rows": 14,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3273",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003273.lean\",\"911c56e541e1cdb40ae319f8c3f4b09fb47bb6dc472d35f6a99b41d84ad070d7\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003274.lean\",\"fc4847baf6180279bcab2ff0501ecb199ca3746d6cf52576f1499d340001da41\",0,\"part1_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003275.lean\",\"f4e2ede5116ad4f433710e51a402340f7f7cdfbf27538de51a2d58426e552216\",0,\"total_students\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123392,
+      "path": "data/train/pec/oproofs-s00002-r00003272-n000004-0000-0ab668096886c2fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0ab668096886c2fe0fb97970551664e91bb95c99a279cd056dd3747304ff8a5d"
+    },
+    {
+      "bytes": 242052,
+      "path": "data/dev/pec/oproofs-s00002-r00003272-n000004-0000-1613ad4f83ec3b0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1613ad4f83ec3b0c29841406da57f30b79023f563fc70e558e6e1129be950966"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003276-n000004.json b/manifests/batches/oproofs/s00002-r00003276-n000004.json
index 9fa2a1b09b0db7055e67d8b72d5037403034dde4..a05c46c4b541dc70fa1763dbe1aa5c030016caf7 100644
--- a/manifests/batches/oproofs/s00002-r00003276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003276-n000004",
   "batch_fingerprint": "fda5f95e2382bc4ca529a901d483084192f52fba01a768839fc29f606adf03ee",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003276-n000004-0000-711bd53d01e4310c.parquet",
-      "sha256": "711bd53d01e4310cd9fedc51253af08b8598b8a3cdbd1ced894964bd652fda2c",
-      "bytes": 217945,
-      "rows": 13,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003277.lean\",\"0a672b7e0e28d563e42f992f95dc1c8a207f594ea6b82b70cb9ca7172ce9612b\",0,\"cookout_kids_2006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003278.lean\",\"c8f60f2f4820dcffc77d46d879fc723333be73e4109ff72d66c0f82dfbdcb142\",0,\"smallest_bob_number\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003279.lean\",\"be27bbe0c657e7e825600073d527a8673aa275494170ec39aeadd82424ae1fb1\",0,\"average_rest_of_class\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217945,
+      "path": "data/train/pf0/oproofs-s00002-r00003276-n000004-0000-711bd53d01e4310c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "711bd53d01e4310cd9fedc51253af08b8598b8a3cdbd1ced894964bd652fda2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003280-n000004.json b/manifests/batches/oproofs/s00002-r00003280-n000004.json
index a413c91b1234400e881212cecd902af48ec4a682..01e18d1ce6ae43793487cb5cecbf25e46d45e88b 100644
--- a/manifests/batches/oproofs/s00002-r00003280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003280-n000004",
   "batch_fingerprint": "db7e21b4f9f681531898bd68966da7f965c38403acd6d161b63b77f16fec279f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003280-n000004-0000-e969eaae3b7993ab.parquet",
-      "sha256": "e969eaae3b7993ab6c93bfffbc2d75f150b02056ef9c64093f447120900f312e",
-      "bytes": 189807,
-      "rows": 15,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003280-n000004-0000-8731720f3e187345.parquet",
-      "sha256": "8731720f3e187345625a90d07e3d13c61e226154e1db066c177bae565921b85d",
-      "bytes": 137816,
-      "rows": 2,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003281.lean\",\"49165689719004dc5d83803665cfd0e2420bad3096c52e587a067cf578cf3b6d\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003282.lean\",\"4b297cf5eaf45af139b899d4b1751260cabd3e24b1a06c2a827bd983d18d705b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003283.lean\",\"bf80ba4a9037e3379923cb96fc636ed22e223b0a761c38d80a26d6edfb29c712\",0,\"smallest_angle_satisfying_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189807,
+      "path": "data/train/pe4/oproofs-s00002-r00003280-n000004-0000-e969eaae3b7993ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e969eaae3b7993ab6c93bfffbc2d75f150b02056ef9c64093f447120900f312e"
+    },
+    {
+      "bytes": 137816,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00003280-n000004-0000-8731720f3e187345.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8731720f3e187345625a90d07e3d13c61e226154e1db066c177bae565921b85d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003284-n000004.json b/manifests/batches/oproofs/s00002-r00003284-n000004.json
index ddfaab492c4c6f0245da9ff425db78b56ffbf24e..0b8f0449cc4c9d73484285002caa34163b7e1961 100644
--- a/manifests/batches/oproofs/s00002-r00003284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003284-n000004",
   "batch_fingerprint": "93ce3bcdd5c1058c78cb3c061a03a2dd2ab17279707e26aef94bac568f5da5a7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003284-n000004-0000-f0758b92278cb37c.parquet",
-      "sha256": "f0758b92278cb37cc51e3fab704bbd69f704cb444eb9c19f4e164ff4514555ae",
-      "bytes": 871540,
-      "rows": 21,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003284-n000004-0001-20772c4a2419cf3d.parquet",
-      "sha256": "20772c4a2419cf3d77920c78fdccf6c0d380e19d373606080bdffeccfc47eccf",
-      "bytes": 94709,
-      "rows": 2,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003285.lean\",\"4a5a3835a35defbe2dd16aae2be31590f1dd37cc308508f24de94ba767b2e8f1\",0,\"exists_unique_zero\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003286.lean\",\"bcc211dcc9bc42b27da06e065233a9a945cca85be32fa6b0a6f7ae59d771ba6b\",0,\"lean_workbook_plus_6370\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003287.lean\",\"cea36e753ed28ab0073aa54b27db3798344e07fd9c465844001d39b0a29e580d\",0,\"f_increasing\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 871540,
+      "path": "data/train/pde/oproofs-s00002-r00003284-n000004-0000-f0758b92278cb37c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f0758b92278cb37cc51e3fab704bbd69f704cb444eb9c19f4e164ff4514555ae"
+    },
+    {
+      "bytes": 94709,
+      "path": "data/train/pde/oproofs-s00002-r00003284-n000004-0001-20772c4a2419cf3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "20772c4a2419cf3d77920c78fdccf6c0d380e19d373606080bdffeccfc47eccf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003288-n000004.json b/manifests/batches/oproofs/s00002-r00003288-n000004.json
index 3299100c7fdd465dd96d5342df42ceca4bb58f11..12e1c555f9549c28ad378e7f2514bc1ffcaff9a1 100644
--- a/manifests/batches/oproofs/s00002-r00003288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003288-n000004",
   "batch_fingerprint": "d1b249b9caa10db1885a2831819a9d7c638c48486903919df4dbd404ad66b5d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003288-n000004-0000-d31b901c3183cd89.parquet",
-      "sha256": "d31b901c3183cd892fae5c281fbe3a932b485900796f49532217eab59cb80525",
-      "bytes": 354181,
-      "rows": 13,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003289.lean\",\"b02c9355aa3e8ba1c5943f4b8a8eafa8c475bb80526c7d245f0da888cdc1787d\",0,\"lean_workbook_plus_67799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003290.lean\",\"ed492d88df16290c62481cbbd2a27fad6b3a640c0c53ef3f389562e17b902067\",0,\"lean_workbook_plus_80644\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003291.lean\",\"0baa5ef34e33211a6e1032e51717a54d72c039626cc3222d1b41c385de017552\",0,\"lean_workbook_plus_36828\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354181,
+      "path": "data/train/pb7/oproofs-s00002-r00003288-n000004-0000-d31b901c3183cd89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d31b901c3183cd892fae5c281fbe3a932b485900796f49532217eab59cb80525"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003292-n000004.json b/manifests/batches/oproofs/s00002-r00003292-n000004.json
index 29934ef7e3ba45a70ed61353dc68a38279f5ab1c..145741d39d2d6f235222c6c8c25023f99a025c7b 100644
--- a/manifests/batches/oproofs/s00002-r00003292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003292-n000004",
   "batch_fingerprint": "ca36c13304dc945f70546b3976f999d4cd9fe6673d908d9978b8cf32a60ad4de",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003292-n000004-0000-d1f2ed2e59c2f0bc.parquet",
-      "sha256": "d1f2ed2e59c2f0bcc4582b2dee4973788059469851ccf808948c64fb37c69d35",
-      "bytes": 789772,
-      "rows": 18,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003292-n000004-0000-67e461af2fc3595c.parquet",
-      "sha256": "67e461af2fc3595c76fc050de98c6f4bd64c8bbac639ff0b6766840d12579cab",
-      "bytes": 236241,
-      "rows": 7,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3293",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003293.lean\",\"b6632ec8fd4297d179c514439face1ca830468effb5913fd26341281235efc8a\",0,\"lean_workbook_plus_80498\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003294.lean\",\"4e3f026cf4f2a80088cdd06dc8706f1c1e80b0b93dbc4a90e77384b60a45617e\",0,\"lean_workbook_plus_63625\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003295.lean\",\"d28dcb0f7e30c760db66f4dd29aead3bbd0e5793f47242ea0d6f63a153e3a51b\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 789772,
+      "path": "data/train/p4d/oproofs-s00002-r00003292-n000004-0000-d1f2ed2e59c2f0bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d1f2ed2e59c2f0bcc4582b2dee4973788059469851ccf808948c64fb37c69d35"
+    },
+    {
+      "bytes": 236241,
+      "path": "data/internal_test/p4d/oproofs-s00002-r00003292-n000004-0000-67e461af2fc3595c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "67e461af2fc3595c76fc050de98c6f4bd64c8bbac639ff0b6766840d12579cab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003296-n000004.json b/manifests/batches/oproofs/s00002-r00003296-n000004.json
index f40e113af9379a4a921f1b83867f43e99e5e825e..f5a097d3bbfab6bcb0be938b52aa13886ca43268 100644
--- a/manifests/batches/oproofs/s00002-r00003296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003296-n000004",
   "batch_fingerprint": "48c79f4e5b8ee0d8ceb14bdfbcebc8c8d7106e6fcb1574856eddc884c17846a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003296-n000004-0000-88004fc6019897b3.parquet",
-      "sha256": "88004fc6019897b3fea718698d416978febb07d9570e107690f5127d0cdbe424",
-      "bytes": 434053,
-      "rows": 20,
-      "revision": "81a2b3e0dc6b721afe0dc8f2a0656e83acdcaa58"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003297.lean\",\"c0a2764baff667bd66dbbc08cfce92e2c2a527628bad5f4464a13d8e6a42dfea\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003298.lean\",\"da548a3ec77bbc46ad9f24f548ba5ff54a363102912b1beb3f70bb030b17e495\",0,\"lean_workbook_plus_24128\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003299.lean\",\"55f5250d408e0d780d1f6d7ded78f2e88a4cf8afb17d72a685e87fe23c95b9a3\",0,\"lean_workbook_plus_3634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434053,
+      "path": "data/train/p0a/oproofs-s00002-r00003296-n000004-0000-88004fc6019897b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "88004fc6019897b3fea718698d416978febb07d9570e107690f5127d0cdbe424"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003300-n000004.json b/manifests/batches/oproofs/s00002-r00003300-n000004.json
index ac1f417aa02334054e649e412bdf4473caa1df00..8dc24367a69a853b0689d3fd42b69704ea4cf6a3 100644
--- a/manifests/batches/oproofs/s00002-r00003300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003300-n000004",
   "batch_fingerprint": "12be97b74b440f3929c1160ab91ca8781b0ac0fcb95f514f41cf5809b4268668",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003300-n000004-0000-cf8f2a3d8c8bbd53.parquet",
-      "sha256": "cf8f2a3d8c8bbd538a07988dddfec10da12c8d944b67550c3c2fad98b77adc06",
-      "bytes": 209578,
-      "rows": 18,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003300-n000004-0000-29671a0f5a83bd38.parquet",
-      "sha256": "29671a0f5a83bd38209aff52c3a9857b670302adef024a162cf8074e0065bb96",
-      "bytes": 92463,
-      "rows": 5,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3301",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003301.lean\",\"12f1b73d37f64eb45ab134018a0ca7c1949e74cb5107dcf142d05fc1e1f17fe2\",0,\"lean_workbook_49124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003302.lean\",\"ed590b952fe70aadc6ced283c2014d63fde04adadcdeaa557f334da5eb1095aa\",0,\"lean_workbook_plus_44303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003303.lean\",\"540021c6be2cbaa29a3060787060095622c03cc4101a67c7a78587f1990d1157\",0,\"lean_workbook_plus_54818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209578,
+      "path": "data/train/p0d/oproofs-s00002-r00003300-n000004-0000-cf8f2a3d8c8bbd53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cf8f2a3d8c8bbd538a07988dddfec10da12c8d944b67550c3c2fad98b77adc06"
+    },
+    {
+      "bytes": 92463,
+      "path": "data/internal_test/p0d/oproofs-s00002-r00003300-n000004-0000-29671a0f5a83bd38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "29671a0f5a83bd38209aff52c3a9857b670302adef024a162cf8074e0065bb96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003304-n000004.json b/manifests/batches/oproofs/s00002-r00003304-n000004.json
index dc8ec08e6f195b7322c0cf386b5dcad636ffc98b..393eea1aa4d62d1b4a75a0448429d701125b51a2 100644
--- a/manifests/batches/oproofs/s00002-r00003304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003304-n000004",
   "batch_fingerprint": "732f990b29708cf52707cf3d2bbb4bf038fd096b6118cee7caebf5b8d0c2aca0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003304-n000004-0000-aff80341af298a41.parquet",
-      "sha256": "aff80341af298a41f4f380ffcbe55717f9c87cdeb1e2bed35dcde8b42bee1f43",
-      "bytes": 100689,
-      "rows": 8,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003304-n000004-0000-39f0cad4bdaeb8a8.parquet",
-      "sha256": "39f0cad4bdaeb8a85d0d86954f44cfe50e3b6da8ba807741aeefd1a045d9363b",
-      "bytes": 38253,
-      "rows": 2,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3305",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003305.lean\",\"1ea910d1c38f73095260f784e2c577d006a41750299adaf030359b7fc4e70f92\",0,\"lean_workbook_plus_20536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003306.lean\",\"efe6fe25d168fa0f6bbbc9275927cb1fca46e11cb2826ae5e47eb696c3bd8b2f\",0,\"lean_workbook_plus_43898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003307.lean\",\"3a9aa58e46db10b0235475a1b095fb94b025bd30e8ee873c640c6583222bbc86\",0,\"lean_workbook_plus_60492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100689,
+      "path": "data/train/pd3/oproofs-s00002-r00003304-n000004-0000-aff80341af298a41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "aff80341af298a41f4f380ffcbe55717f9c87cdeb1e2bed35dcde8b42bee1f43"
+    },
+    {
+      "bytes": 38253,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00003304-n000004-0000-39f0cad4bdaeb8a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "39f0cad4bdaeb8a85d0d86954f44cfe50e3b6da8ba807741aeefd1a045d9363b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003308-n000004.json b/manifests/batches/oproofs/s00002-r00003308-n000004.json
index 3471fc7f71e45971cc3eabd68d6eb8e0200dec78..492599a69eacb272f37cb7769e060a55d4e010f5 100644
--- a/manifests/batches/oproofs/s00002-r00003308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003308-n000004",
   "batch_fingerprint": "c54c8e7994f64c062e9f94a277192ef3a19ff8941668c05f3d59614a04371884",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003308-n000004-0000-fedd25e01bb6bb4c.parquet",
-      "sha256": "fedd25e01bb6bb4c90c24d0ba133f31c59fcbc28ecc6d29ac56bb0815ec3745e",
-      "bytes": 204313,
-      "rows": 11,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003309.lean\",\"badcb3fc7e2bd7f58cebc8580c82c5df148b874d259f434aa251eff953afdbe9\",0,\"lean_workbook_30526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003310.lean\",\"ce891a21da3024789d551cc5d5fe05a0d3329af1d1008ad2935284cba6c4c692\",0,\"lean_workbook_3240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003311.lean\",\"b8963ab565f47f9ccce287360f038b612428c3024f1ba49834d565ee52bdeab4\",0,\"lean_workbook_plus_38910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204313,
+      "path": "data/train/p89/oproofs-s00002-r00003308-n000004-0000-fedd25e01bb6bb4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fedd25e01bb6bb4c90c24d0ba133f31c59fcbc28ecc6d29ac56bb0815ec3745e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003312-n000004.json b/manifests/batches/oproofs/s00002-r00003312-n000004.json
index 8c8fa6c8cbe4d3066e02d0d262a206488e6cb9b5..66f6d926c46cc5d7389a1143f90adf97a7c8126e 100644
--- a/manifests/batches/oproofs/s00002-r00003312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003312-n000004",
   "batch_fingerprint": "3316dad1e2641eb1091c84dda52ab9b4c5d73f7ced5718d3d52cbff4264dac4d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3312",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3313",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3314",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3315"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003312.lean\",\"ca19a242c213dc672a23ea16699671c44b2c4388815086f9401300b58de65509\",0,\"lean_workbook_plus_36796\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003313.lean\",\"b6063da07e3fdb132766fbf7add3786ba5bdb116c484ded90c40ff9cebb8326f\",0,\"lean_workbook_plus_70662\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003314.lean\",\"74d948feec7ed47064d427c97dad5daa39b4fe91b7bdc9fef9009cd9e67c2c0b\",0,\"lean_workbook_plus_73430\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003315.lean\",\"45c8a53d28723e066e3c391fd89ed69784071d6a67739e8c604418ef7223dc79\",0,\"lean_workbook_plus_2262\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003312-n000004-0000-345f834aa9f98c31.parquet",
-      "sha256": "345f834aa9f98c3184a2daa85733876af4dde5c58be4fc2957507a71183c817d",
       "bytes": 150497,
+      "path": "data/train/p31/oproofs-s00002-r00003312-n000004-0000-345f834aa9f98c31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "345f834aa9f98c3184a2daa85733876af4dde5c58be4fc2957507a71183c817d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003312-n000004-0000-67564563a1c34960.parquet",
-      "sha256": "67564563a1c349606bc9e8d46f68dda43df5eec7d2ad96865e0e1ca7b6cb8fbe",
       "bytes": 185733,
+      "path": "data/dev/p31/oproofs-s00002-r00003312-n000004-0000-67564563a1c34960.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "67564563a1c349606bc9e8d46f68dda43df5eec7d2ad96865e0e1ca7b6cb8fbe"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003312-n000004-0000-312e50adb7da746e.parquet",
-      "sha256": "312e50adb7da746e3b73a29803353096e023d7f5ef1a1541260a752a0e175e50",
       "bytes": 63480,
+      "path": "data/internal_test/p31/oproofs-s00002-r00003312-n000004-0000-312e50adb7da746e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
+      "sha256": "312e50adb7da746e3b73a29803353096e023d7f5ef1a1541260a752a0e175e50"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3312",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3313",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3314",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3315"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003312.lean\",\"ca19a242c213dc672a23ea16699671c44b2c4388815086f9401300b58de65509\",0,\"lean_workbook_plus_36796\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003313.lean\",\"b6063da07e3fdb132766fbf7add3786ba5bdb116c484ded90c40ff9cebb8326f\",0,\"lean_workbook_plus_70662\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003314.lean\",\"74d948feec7ed47064d427c97dad5daa39b4fe91b7bdc9fef9009cd9e67c2c0b\",0,\"lean_workbook_plus_73430\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003315.lean\",\"45c8a53d28723e066e3c391fd89ed69784071d6a67739e8c604418ef7223dc79\",0,\"lean_workbook_plus_2262\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003316-n000004.json b/manifests/batches/oproofs/s00002-r00003316-n000004.json
index 6719d5bd4bcee53c8fe4155a169719566a0eb6e9..8d4096988b1cb4231ebce9cad571978468040c0b 100644
--- a/manifests/batches/oproofs/s00002-r00003316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003316-n000004",
   "batch_fingerprint": "aea1a3b7df99d88c0f6e0b9f56e25ac6d43d6aa570b547fb54d3a20c735c7509",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003316-n000004-0000-5cb09801169dca95.parquet",
-      "sha256": "5cb09801169dca95630b42625d68799549c547f45eee5173def325cc041becdc",
-      "bytes": 328403,
-      "rows": 17,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003316-n000004-0000-8e0e9a4264663e12.parquet",
-      "sha256": "8e0e9a4264663e12da5eabc45aa0b9075b97a915376b75312777d3193ff0cd13",
-      "bytes": 72547,
-      "rows": 3,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003317.lean\",\"271cb76f09a23b738974166483e7357b56f5af8d5394987c9e863186881fd8d1\",0,\"lean_workbook_42771\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003318.lean\",\"4e9c9e020712e61e070eeef839d29e1cd93d4f4b951eb5bdc72f6e97d0cf70e5\",0,\"lean_workbook_plus_51094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003319.lean\",\"5471ebb4875d1d011189b19fda24814e0acedbeb1df9624699e39564eaf0a99e\",0,\"uniform_savings\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328403,
+      "path": "data/train/p48/oproofs-s00002-r00003316-n000004-0000-5cb09801169dca95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5cb09801169dca95630b42625d68799549c547f45eee5173def325cc041becdc"
+    },
+    {
+      "bytes": 72547,
+      "path": "data/internal_test/p48/oproofs-s00002-r00003316-n000004-0000-8e0e9a4264663e12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8e0e9a4264663e12da5eabc45aa0b9075b97a915376b75312777d3193ff0cd13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003320-n000004.json b/manifests/batches/oproofs/s00002-r00003320-n000004.json
index 2415a4848a2ca405a9c798cb0007bfc9211111b9..2377fedbea4663e32b8245a787a6c25703441aae 100644
--- a/manifests/batches/oproofs/s00002-r00003320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003320-n000004",
   "batch_fingerprint": "bf25e714fac1b835353c958d8274422eab5746ee968b6765f749fd932ac8c159",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003320-n000004-0000-4d72bdb1eec094ed.parquet",
-      "sha256": "4d72bdb1eec094edbb6297456cec9e3a2930eb824431ea7ffc32dee811f9eed4",
-      "bytes": 108551,
-      "rows": 18,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003321.lean\",\"2d7baa0f5b17e62b01407d4570a42dd277d84704342e053c870c0e6cc2436aca\",0,\"lean_workbook_plus_2908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003322.lean\",\"45188231022dc25595d1a8f13b7da3d6129cc91478249af25ab1f29f6a0fcf83\",0,\"lean_workbook_40141\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003323.lean\",\"85e5744cbe02f26deb018d778ff7c73ac5d1877791f34bab4f4562cc19377d96\",0,\"lean_workbook_plus_21843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108551,
+      "path": "data/train/p32/oproofs-s00002-r00003320-n000004-0000-4d72bdb1eec094ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4d72bdb1eec094edbb6297456cec9e3a2930eb824431ea7ffc32dee811f9eed4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003324-n000004.json b/manifests/batches/oproofs/s00002-r00003324-n000004.json
index bf3af57504e360106448dc8052af948918076d46..1a76912b70c60b521d2a9222bdd9a69f92045115 100644
--- a/manifests/batches/oproofs/s00002-r00003324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003324-n000004",
   "batch_fingerprint": "d96a29b7e999d6ca37e5496dd0723a672ae247e2658abd8cef442134c3645b8e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003324-n000004-0000-5e84275a8d8c34c2.parquet",
-      "sha256": "5e84275a8d8c34c21a780cbc02a91224d5a3e85dceed8a70abf5d4ef45299980",
-      "bytes": 170723,
-      "rows": 10,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003324-n000004-0000-e2aedbebcd8243c7.parquet",
-      "sha256": "e2aedbebcd8243c7509163c134fde4798e244f2cd125da64cfb5b74aba60337c",
-      "bytes": 51374,
-      "rows": 4,
-      "revision": "901a7368bc056a32569758fbbbab9f2dbe41f574"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3325",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003325.lean\",\"f3a224760dd184bcd12d75a8d252c0fc2db4f76bdbff36ba753e9f95d3a482f4\",0,\"lean_workbook_49333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003326.lean\",\"d453fd68ce1c4600f3fedf615ae83a15b3a5b2b480a5cd3cf8366931b8c21d26\",0,\"lean_workbook_plus_65505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003327.lean\",\"4a28f2eb99cd3062927a470d6dc0582f28b19785e81543c2e687857dd78f3db0\",0,\"lean_workbook_plus_46061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170723,
+      "path": "data/train/p0b/oproofs-s00002-r00003324-n000004-0000-5e84275a8d8c34c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5e84275a8d8c34c21a780cbc02a91224d5a3e85dceed8a70abf5d4ef45299980"
+    },
+    {
+      "bytes": 51374,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00003324-n000004-0000-e2aedbebcd8243c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e2aedbebcd8243c7509163c134fde4798e244f2cd125da64cfb5b74aba60337c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003328-n000004.json b/manifests/batches/oproofs/s00002-r00003328-n000004.json
index 12af9c967b1ea398a87fa4c08d1dcf1afef6013e..8eab3c59c0ef4e9c971447b0d78f75d594893bac 100644
--- a/manifests/batches/oproofs/s00002-r00003328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003328-n000004",
   "batch_fingerprint": "00a8e9435b74052b58b7d18038d7a1f10d2ac19f0e5a4366e5f6aa475862910c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003328-n000004-0000-1284d70c160e17ab.parquet",
-      "sha256": "1284d70c160e17abc7d17c7c93fa3c8d42037924e39c885ca747430bec7c8426",
-      "bytes": 81254,
-      "rows": 10,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003328-n000004-0000-d4ae34815e424958.parquet",
-      "sha256": "d4ae34815e424958d85aab21d4d07a364d4b89d04a561d1970993b6d0778bc37",
-      "bytes": 44682,
-      "rows": 3,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003329.lean\",\"883496feb71b640ec3c7438a7921b2692953bf551d26bc343c23f45d5ac546e6\",0,\"lean_workbook_plus_38860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003330.lean\",\"1491ac7be2d625367c7454e11f2eeb55627163e007a0a80e41d633e5fb9073a2\",0,\"lean_workbook_5698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003331.lean\",\"4789c4e072a0123d6d840262ba2ee482af6c889ee476ef0058e60c71d64d34a7\",0,\"lean_workbook_31045\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81254,
+      "path": "data/train/p47/oproofs-s00002-r00003328-n000004-0000-1284d70c160e17ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1284d70c160e17abc7d17c7c93fa3c8d42037924e39c885ca747430bec7c8426"
+    },
+    {
+      "bytes": 44682,
+      "path": "data/internal_test/p47/oproofs-s00002-r00003328-n000004-0000-d4ae34815e424958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d4ae34815e424958d85aab21d4d07a364d4b89d04a561d1970993b6d0778bc37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003332-n000004.json b/manifests/batches/oproofs/s00002-r00003332-n000004.json
index a1dd415a17d5ab184bd64209c1419c119eea3480..05dfd1cd43a4b896ef2404bf38544f9cb3da35f7 100644
--- a/manifests/batches/oproofs/s00002-r00003332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003332-n000004",
   "batch_fingerprint": "fca1445e632987ada4e9b80faaef87282db168b07abf32c41afffd67f98b0464",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3332",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3333",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3334",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3335"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003332.lean\",\"7510dbf8f2c439e6dd919a85c707092107e81b598d24126404764dfec92f041f\",0,\"lean_workbook_plus_67331\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003333.lean\",\"71c4d12eae707208de6a9502f4a51ba523071c1f0c1fa8859b937b2827f74e98\",0,\"lean_workbook_plus_57246\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003334.lean\",\"08f521a50670e2a03cabe190544e57899ab9aaa43e8ee0d5f98d73c28f9539d9\",0,\"range_of_m_function\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003335.lean\",\"5e5a0a5ae44dfa0c365e346a380a6cc382516be3bb3a3b1f41fd3141a16cb1cf\",0,\"lean_workbook_plus_72606\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003332-n000004-0000-641cf347e7b9a3ba.parquet",
-      "sha256": "641cf347e7b9a3baea86fc8e73efa405c43897083c63d70248e7667450345fc2",
       "bytes": 1655694,
+      "path": "data/train/pab/oproofs-s00002-r00003332-n000004-0000-641cf347e7b9a3ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "641cf347e7b9a3baea86fc8e73efa405c43897083c63d70248e7667450345fc2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00003332-n000004-0001-8cfae71b829d001a.parquet",
-      "sha256": "8cfae71b829d001a71a987e38d21583602eaef1f4a633a43fff256f6e8576acb",
       "bytes": 880303,
+      "path": "data/train/pab/oproofs-s00002-r00003332-n000004-0001-8cfae71b829d001a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "8cfae71b829d001a71a987e38d21583602eaef1f4a633a43fff256f6e8576acb"
     },
     {
-      "path": "data/train/oproofs-s00002-r00003332-n000004-0002-08cea7b6a8c168fe.parquet",
-      "sha256": "08cea7b6a8c168fedaedc9d15b8d52ac756b77e72716adbd300d23b72e73b856",
       "bytes": 576320,
+      "path": "data/train/pab/oproofs-s00002-r00003332-n000004-0002-08cea7b6a8c168fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "08cea7b6a8c168fedaedc9d15b8d52ac756b77e72716adbd300d23b72e73b856"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003332-n000004-0000-7656a01e8e6d2fe0.parquet",
-      "sha256": "7656a01e8e6d2fe0399b5b3fa69ef8cf5e91fca0297d7757b93650bf55ee4daa",
       "bytes": 77434,
+      "path": "data/internal_test/pab/oproofs-s00002-r00003332-n000004-0000-7656a01e8e6d2fe0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "7656a01e8e6d2fe0399b5b3fa69ef8cf5e91fca0297d7757b93650bf55ee4daa"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3332",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3333",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3334",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3335"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003332.lean\",\"7510dbf8f2c439e6dd919a85c707092107e81b598d24126404764dfec92f041f\",0,\"lean_workbook_plus_67331\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003333.lean\",\"71c4d12eae707208de6a9502f4a51ba523071c1f0c1fa8859b937b2827f74e98\",0,\"lean_workbook_plus_57246\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003334.lean\",\"08f521a50670e2a03cabe190544e57899ab9aaa43e8ee0d5f98d73c28f9539d9\",0,\"range_of_m_function\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003335.lean\",\"5e5a0a5ae44dfa0c365e346a380a6cc382516be3bb3a3b1f41fd3141a16cb1cf\",0,\"lean_workbook_plus_72606\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003336-n000004.json b/manifests/batches/oproofs/s00002-r00003336-n000004.json
index 57f94caf32e446f7f0a01d39598ff566670558da..693c1acb2f84fa2f323ccc4d3060dfa1f922de8e 100644
--- a/manifests/batches/oproofs/s00002-r00003336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003336-n000004",
   "batch_fingerprint": "1040a0c88e3875488d3daf18082ce9e147edaeffca6a28807d60ce87255ee963",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003336-n000004-0000-b47ed2f82b2f0e49.parquet",
-      "sha256": "b47ed2f82b2f0e49564d4b1d92792ae1dc4bf0aff7e4d6702591ab063a6b5f18",
-      "bytes": 188921,
-      "rows": 19,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003337.lean\",\"f978d9fd5d82a166b3bd92996d75feb8c7605dff40a74c904deac502e09eab81\",0,\"lean_workbook_56728\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003338.lean\",\"14dec60c4ef476bccc2ab2f95a3d3cc68ddad6912fa313a60671492f8a08cd50\",0,\"lean_workbook_plus_46153\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003339.lean\",\"2b8dd85c887767f70be83fed0de0c9a1fcf3330d7d36e5c0c0210ab5005c8d64\",0,\"lean_workbook_37853\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188921,
+      "path": "data/train/pcd/oproofs-s00002-r00003336-n000004-0000-b47ed2f82b2f0e49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b47ed2f82b2f0e49564d4b1d92792ae1dc4bf0aff7e4d6702591ab063a6b5f18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003340-n000004.json b/manifests/batches/oproofs/s00002-r00003340-n000004.json
index 864f5b1597bffa06bb84ce1fa47d68d622296bfa..45f38d35f2d5dd15d557b384fff3092ba84370c1 100644
--- a/manifests/batches/oproofs/s00002-r00003340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003340-n000004",
   "batch_fingerprint": "8e27d323f51092ee23162255e18739a921632c20200eb2a30f88e2f02fb788f0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003340-n000004-0000-5cc4bb47b8a621ea.parquet",
-      "sha256": "5cc4bb47b8a621ea1a26ee48e6ed4f54a20bacf1ff175161fc3fd5a917087d2d",
-      "bytes": 91381,
-      "rows": 11,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3341",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003341.lean\",\"7f439f48a81626c3d914898370a61815a9016b7a55335494e5d182db3ce7d9ad\",0,\"lean_workbook_13400\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003342.lean\",\"f1f3857351cc36484d0e8ea27597cfc012cc2cc8b9255516d9f6ec9425dc8921\",0,\"lean_workbook_40933\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003343.lean\",\"61ce3d6b8ecf7760e7593097ee58218f3d7610db81c4edb06d6dffee3fcae720\",0,\"lean_workbook_plus_37586\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91381,
+      "path": "data/train/pea/oproofs-s00002-r00003340-n000004-0000-5cc4bb47b8a621ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5cc4bb47b8a621ea1a26ee48e6ed4f54a20bacf1ff175161fc3fd5a917087d2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003344-n000004.json b/manifests/batches/oproofs/s00002-r00003344-n000004.json
index 29bd17c0573543576c8deee4b0aa14fbc63956dc..0948d8a5a01912970cb13150d714486c86eddc6f 100644
--- a/manifests/batches/oproofs/s00002-r00003344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003344-n000004",
   "batch_fingerprint": "84b03516fabd0e3bcb19b8b0ec84c8e452c292dc847e1f2dd11a66cf5a01cb93",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003344-n000004-0000-8a0309f2cf989726.parquet",
-      "sha256": "8a0309f2cf9897263efcbc7e266d8cef750ae6f64a59432cbf2aa7f2e2381085",
-      "bytes": 478973,
-      "rows": 28,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003344-n000004-0000-d8da833bd2a7745c.parquet",
-      "sha256": "d8da833bd2a7745c1ddbab2766c8be02d1ce4a38e6e7458d95758ff8280af654",
-      "bytes": 86815,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003345.lean\",\"951d1e9744c42207a1c7587328faf5985198e3942d8eac7a6079133b30fb9962\",0,\"lean_workbook_plus_8710\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003346.lean\",\"37cd9fee5f2661adb351bcae6d88498519386e482995765eca1fa39ce0f6e1b9\",0,\"lean_workbook_plus_13030\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003347.lean\",\"4d84ed3111696b002f818e9e776540956dc49a6992957826de80d4874f88c902\",0,\"lean_workbook_plus_23318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 478973,
+      "path": "data/train/p86/oproofs-s00002-r00003344-n000004-0000-8a0309f2cf989726.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "8a0309f2cf9897263efcbc7e266d8cef750ae6f64a59432cbf2aa7f2e2381085"
+    },
+    {
+      "bytes": 86815,
+      "path": "data/dev/p86/oproofs-s00002-r00003344-n000004-0000-d8da833bd2a7745c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d8da833bd2a7745c1ddbab2766c8be02d1ce4a38e6e7458d95758ff8280af654"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003348-n000004.json b/manifests/batches/oproofs/s00002-r00003348-n000004.json
index d1d13ff3d4026839c460c55f207da73331cb43a2..a9586f2764edad5215a24960e35d1012bf95cd17 100644
--- a/manifests/batches/oproofs/s00002-r00003348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003348-n000004",
   "batch_fingerprint": "3f5c8185e3cc60f4c55d9a8b11a311d24ae9ff2c5b3238785f4019ba69843345",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003348-n000004-0000-284963d05c1aa30f.parquet",
-      "sha256": "284963d05c1aa30f1f4aca90c368764faca9f520ec6d3b88fb595b08b8202408",
-      "bytes": 420337,
-      "rows": 13,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003348-n000004-0000-580dbcc4001824b4.parquet",
-      "sha256": "580dbcc4001824b4db652ca6c0ecc24026d471f5222be79bd04393ead15165c1",
-      "bytes": 62055,
-      "rows": 3,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003349.lean\",\"ae3cd8eb889dac06649c7e2958f81bb397891bf7faf965e8ab034ff66816be2c\",0,\"lean_workbook_47401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003350.lean\",\"54cd282a044ec386b278784489f8b458fe68a7d2b54de21a1cb193402b69b1b3\",0,\"lean_workbook_32294\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003351.lean\",\"b990ec347291616ae9a47cacd9028a0507841ca4c2a6cef2cc9021ce3c13fe0e\",0,\"lean_workbook_plus_40700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 420337,
+      "path": "data/train/pc8/oproofs-s00002-r00003348-n000004-0000-284963d05c1aa30f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "284963d05c1aa30f1f4aca90c368764faca9f520ec6d3b88fb595b08b8202408"
+    },
+    {
+      "bytes": 62055,
+      "path": "data/internal_test/pc8/oproofs-s00002-r00003348-n000004-0000-580dbcc4001824b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "580dbcc4001824b4db652ca6c0ecc24026d471f5222be79bd04393ead15165c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003352-n000004.json b/manifests/batches/oproofs/s00002-r00003352-n000004.json
index 190814287c4b47bdd618b0a63d90a064013d4879..91eec771662767a80f27bfd723a9f81c3b97cb14 100644
--- a/manifests/batches/oproofs/s00002-r00003352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003352-n000004",
   "batch_fingerprint": "47374e00c8e35d5f581dd5086164d1ff4257b7b8633428a1676272d494464be7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003352-n000004-0000-b9c2233108858c5b.parquet",
-      "sha256": "b9c2233108858c5b8fd81d02003c71d56f3902cab2321cef50e1f2aca72facd2",
-      "bytes": 103690,
-      "rows": 11,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003352-n000004-0000-5bf320f30fac17cd.parquet",
-      "sha256": "5bf320f30fac17cddd7f4458fd7bf818d6bdaed020dffed6437cacf5424e4cd4",
-      "bytes": 131721,
-      "rows": 3,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3353",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003353.lean\",\"367cfeaa09840d0498e411965937511af52747eb2bc604169e910ee56a27bba3\",0,\"lean_workbook_plus_20490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003354.lean\",\"2cc7140d8d6b55543a33a5b630ffc60867d3537b7736281ce3c45b84ee15c7b3\",0,\"lean_workbook_35274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003355.lean\",\"b0f236c9185b5beac41158b317394eef2a918f406f323015f0fd35230c50d82e\",0,\"lean_workbook_plus_54778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103690,
+      "path": "data/train/p79/oproofs-s00002-r00003352-n000004-0000-b9c2233108858c5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b9c2233108858c5b8fd81d02003c71d56f3902cab2321cef50e1f2aca72facd2"
+    },
+    {
+      "bytes": 131721,
+      "path": "data/internal_test/p79/oproofs-s00002-r00003352-n000004-0000-5bf320f30fac17cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5bf320f30fac17cddd7f4458fd7bf818d6bdaed020dffed6437cacf5424e4cd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003356-n000004.json b/manifests/batches/oproofs/s00002-r00003356-n000004.json
index ed3070497396806a9b2c7aad54a1924ce8098a28..7ec510bb97e27d03be2a1123ec9608c5887382aa 100644
--- a/manifests/batches/oproofs/s00002-r00003356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003356-n000004",
   "batch_fingerprint": "538dc7f354510b8427fda4ec3a664c3bb693f1fbcd74302dc3f8cf84a17dbf70",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003356-n000004-0000-4390b38eb82434da.parquet",
-      "sha256": "4390b38eb82434daf1c2ed398403267bdc46a622ec5fa08aaa90b968f8602074",
-      "bytes": 517449,
-      "rows": 18,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003357.lean\",\"b7f879f09813d7a63540e0a95d319bc00c809dbbd396000844b5b3f3e0757c7a\",0,\"lean_workbook_plus_14733\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003358.lean\",\"3efebec724b76874f08f04b61043cf60ba92507ef88fc2fb8bebea667337e83b\",0,\"lean_workbook_plus_47043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003359.lean\",\"35f07f72d11fc01a0617164060f43d8fe86b504ee413d4297855d0186c92ecff\",0,\"lean_workbook_plus_51943\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517449,
+      "path": "data/train/pd6/oproofs-s00002-r00003356-n000004-0000-4390b38eb82434da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4390b38eb82434daf1c2ed398403267bdc46a622ec5fa08aaa90b968f8602074"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003360-n000004.json b/manifests/batches/oproofs/s00002-r00003360-n000004.json
index ca3c13c981a5c6a5b14d6f4b72514fcb093e166d..edbca0f1b8e748ee36fdbf7e64bb5e1c9f03fb23 100644
--- a/manifests/batches/oproofs/s00002-r00003360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003360-n000004",
   "batch_fingerprint": "c9ac143eb8db4a52e3b968372198df70a5d2e883be0574b36aa0a33d694466a1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003360-n000004-0000-e107f668b4945a46.parquet",
-      "sha256": "e107f668b4945a4666b8b0978b5903e8a8b977f8aec0bb074e6b9634534a5c50",
-      "bytes": 356656,
-      "rows": 20,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003360-n000004-0000-49f91c72763791bd.parquet",
-      "sha256": "49f91c72763791bd98b8815755326f623f65f8a58c322f350708bf03d96fa696",
-      "bytes": 78574,
-      "rows": 6,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003361.lean\",\"758d42c3c76212f5b63dba7d62c0b09dfd5c1bcadc441ee3b9af7bdba2f77f85\",0,\"lean_workbook_plus_25834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003362.lean\",\"0abe9061c56b5a504cebbe8bd786bfa02b205a55da1d226534a68db6202ad66d\",0,\"lean_workbook_plus_26372\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003363.lean\",\"a84dfb3cc786ae5391ebe38fa4b7cf3cf24c04fd5e73cbdeb23c842c52f3fc70\",0,\"lean_workbook_plus_25462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356656,
+      "path": "data/train/ped/oproofs-s00002-r00003360-n000004-0000-e107f668b4945a46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e107f668b4945a4666b8b0978b5903e8a8b977f8aec0bb074e6b9634534a5c50"
+    },
+    {
+      "bytes": 78574,
+      "path": "data/internal_test/ped/oproofs-s00002-r00003360-n000004-0000-49f91c72763791bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49f91c72763791bd98b8815755326f623f65f8a58c322f350708bf03d96fa696"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003364-n000004.json b/manifests/batches/oproofs/s00002-r00003364-n000004.json
index f57b945c2820f3ff6fcfc5dfed65e84d9ec4b434..b3e0b8b7c5e753c9c2d724054bc7987924152f1e 100644
--- a/manifests/batches/oproofs/s00002-r00003364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003364-n000004",
   "batch_fingerprint": "f97b8f27fdc1e85380a989d8fc30fb03ea54cecaef1f4ce8dcdc2094c3994f97",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003364-n000004-0000-2c2ff75db7795b5e.parquet",
-      "sha256": "2c2ff75db7795b5e4bfebf5da5d3e3d1bb3b27aa6ef07e0c2b58b0d8a1ddfb63",
-      "bytes": 190624,
-      "rows": 10,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003364-n000004-0000-17cd8b08eb5ba0dc.parquet",
-      "sha256": "17cd8b08eb5ba0dc79feb39d49fff24a23d5b9b2b6395446f5bd409b1fb51358",
-      "bytes": 51539,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3365",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003365.lean\",\"5ef56b385546bd8212daefe9b7ac32e413942455d7d78b2b590475154e95dcbb\",0,\"lean_workbook_plus_26355\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003366.lean\",\"8b8822e4e85c7d568c15cdd44a41a5546294dd75b3558f6343298f1de3ac96db\",0,\"lean_workbook_plus_26398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003367.lean\",\"d2adf5970df83ab0b02b7ceef256aeadcbe1e28af092996d4cc6cdc63f15ea0d\",0,\"lean_workbook_plus_26419\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190624,
+      "path": "data/train/p49/oproofs-s00002-r00003364-n000004-0000-2c2ff75db7795b5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2c2ff75db7795b5e4bfebf5da5d3e3d1bb3b27aa6ef07e0c2b58b0d8a1ddfb63"
+    },
+    {
+      "bytes": 51539,
+      "path": "data/internal_test/p49/oproofs-s00002-r00003364-n000004-0000-17cd8b08eb5ba0dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17cd8b08eb5ba0dc79feb39d49fff24a23d5b9b2b6395446f5bd409b1fb51358"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003368-n000004.json b/manifests/batches/oproofs/s00002-r00003368-n000004.json
index 187337a36718b34c2c27ed0f7ad7f2f19f040874..77a1eb7f4ccd382df8e28625355ab9416baff979 100644
--- a/manifests/batches/oproofs/s00002-r00003368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003368-n000004",
   "batch_fingerprint": "8cd23f8dbf7708b570edb8028427c5c5b49c631046a2dde4b06346c637628275",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003368-n000004-0000-eb2e2e1dccf4849b.parquet",
-      "sha256": "eb2e2e1dccf4849b8d6f75bc972a6b7976f45c6e2d8c09e17e7715da77913167",
-      "bytes": 644363,
-      "rows": 14,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003368-n000004-0000-5ea758e94b5d1497.parquet",
-      "sha256": "5ea758e94b5d1497fb5b2b9b83a2d1cb5e2cb3d593401f9898b86f70d9e37618",
-      "bytes": 53810,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003369.lean\",\"866cee11c576389c15e3e4064da21ba6dc63660e3f2fb8ee1d7706097239cc9b\",0,\"lean_workbook_plus_26399\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003370.lean\",\"d7002985a9da91aa00443d33468670c6883144647b3cf0dc384345ba6cc30cb5\",0,\"lean_workbook_plus_25941\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003371.lean\",\"d9cac3026208512bca19890ce504b03d4120de0f57cc4540438599bf85fd553d\",0,\"lean_workbook_plus_26009\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 644363,
+      "path": "data/train/pf8/oproofs-s00002-r00003368-n000004-0000-eb2e2e1dccf4849b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "eb2e2e1dccf4849b8d6f75bc972a6b7976f45c6e2d8c09e17e7715da77913167"
+    },
+    {
+      "bytes": 53810,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00003368-n000004-0000-5ea758e94b5d1497.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5ea758e94b5d1497fb5b2b9b83a2d1cb5e2cb3d593401f9898b86f70d9e37618"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003372-n000004.json b/manifests/batches/oproofs/s00002-r00003372-n000004.json
index fb5253e9d1502e767feb165c0c6627a6ffe635d7..00dd82fc3e8c1f735b123f1710ce60f209be49ab 100644
--- a/manifests/batches/oproofs/s00002-r00003372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003372-n000004",
   "batch_fingerprint": "c43b53196bb77c60cfa958d6e4ecb131779e113bdfc3854de75637c1b0cdd031",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003372-n000004-0000-00eecbf509bde726.parquet",
-      "sha256": "00eecbf509bde7262a4a251738b69d626b14a6774c6b5ca045173ee9b80cfd44",
-      "bytes": 630999,
-      "rows": 17,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003373.lean\",\"49643e32eab74d2a99786d2314a61df50f1d6c4e67d3310497e3c244bc4033e9\",0,\"lean_workbook_plus_26400\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003374.lean\",\"8f9c4dfc342c33b42f4a23f48a750f2b07091b4ea13f73d12dafff673be43263\",0,\"lean_workbook_plus_26333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003375.lean\",\"4fc7d32518632d220aecb75ff52781cad291632e58e1a0a336eff7158776dc80\",0,\"lean_workbook_plus_26362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 630999,
+      "path": "data/train/pb7/oproofs-s00002-r00003372-n000004-0000-00eecbf509bde726.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "00eecbf509bde7262a4a251738b69d626b14a6774c6b5ca045173ee9b80cfd44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003376-n000004.json b/manifests/batches/oproofs/s00002-r00003376-n000004.json
index 8d41b58cae2ecb23d6932222417e9c4f10cf4b82..be8a4bc942c79e70b81877471932600743e4ecae 100644
--- a/manifests/batches/oproofs/s00002-r00003376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003376-n000004",
   "batch_fingerprint": "68704af2d4e3587efdc94a5599ff1c89f7772abba449879f194bd3782af33e94",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003376-n000004-0000-7d9252d2c89ea0df.parquet",
-      "sha256": "7d9252d2c89ea0dfe86c8008a8931558860fd1fdfd05575c60a43d8cad73ede7",
-      "bytes": 1083928,
-      "rows": 17,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003376-n000004-0000-a6416bb09d425f8c.parquet",
-      "sha256": "a6416bb09d425f8c50e797811a1e1ba7d8c3a020b57e2a06ebcc3e918bc9e5cc",
-      "bytes": 259963,
-      "rows": 13,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003377.lean\",\"0a246e493651aa165fd9a70f5ff9b6bef8eca8ee97f27a8a26b276c895d0209b\",0,\"lean_workbook_plus_25929\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003378.lean\",\"a1152334cd2b85e00177a36d7367b3bab8e3133f229799542f15dbcba73e4784\",0,\"lean_workbook_plus_2542\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003379.lean\",\"7323a85ee0cab787e5c1f9c0381dd92effc35bb08922dd6a9cdcaa9d134172d1\",0,\"lean_workbook_plus_26228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1083928,
+      "path": "data/train/pf8/oproofs-s00002-r00003376-n000004-0000-7d9252d2c89ea0df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7d9252d2c89ea0dfe86c8008a8931558860fd1fdfd05575c60a43d8cad73ede7"
+    },
+    {
+      "bytes": 259963,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00003376-n000004-0000-a6416bb09d425f8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a6416bb09d425f8c50e797811a1e1ba7d8c3a020b57e2a06ebcc3e918bc9e5cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003380-n000004.json b/manifests/batches/oproofs/s00002-r00003380-n000004.json
index 1a3405264c9f71a8d6f0ceaed4e0fbae305c5196..7650d37bf34441df96772dbc6679df815ee5f83d 100644
--- a/manifests/batches/oproofs/s00002-r00003380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003380-n000004",
   "batch_fingerprint": "80f391b24da1c555bed2c585daa736ac50568f52883a470bd9b1a75527b65415",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003380-n000004-0000-c71670d6de97ebaa.parquet",
-      "sha256": "c71670d6de97ebaac9980c767229c5892d860e3e8dd2c1555365e9de5304fbbe",
-      "bytes": 412393,
-      "rows": 16,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003381.lean\",\"67709f177539a80a4e839950c8605243eba41509e8d0654e362460704e54d9a1\",0,\"lean_workbook_plus_23445\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003382.lean\",\"3c76ed464c0bb7841f9db2c47b5232882971b27c3da5612e7639c516ee25c47f\",0,\"lean_workbook_plus_26361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003383.lean\",\"4f1d4951816f1813f6e13cef82672c75543353c95a972002a43f9cd4c4fd24ee\",0,\"lean_workbook_plus_26328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412393,
+      "path": "data/train/p2e/oproofs-s00002-r00003380-n000004-0000-c71670d6de97ebaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c71670d6de97ebaac9980c767229c5892d860e3e8dd2c1555365e9de5304fbbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003384-n000004.json b/manifests/batches/oproofs/s00002-r00003384-n000004.json
index c0b47caa2022e1337992b5cef6226c4c85e36c94..13f471916b626ec8459bb7f3adf424810c7aa747 100644
--- a/manifests/batches/oproofs/s00002-r00003384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003384-n000004",
   "batch_fingerprint": "19785b2ae031aa24147c541de0723c17f78846c2088933b5c0dc5a41535578ad",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003384-n000004-0000-05f3fc2d55629a58.parquet",
-      "sha256": "05f3fc2d55629a581052c384d865915dcdd326163dc78c05f5c4c98d13476948",
-      "bytes": 278396,
-      "rows": 11,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003384-n000004-0000-f3b0851d74623f8d.parquet",
-      "sha256": "f3b0851d74623f8d1937f05fd0c640747ce5b9bfe0e75669ac70dba171aa4d76",
-      "bytes": 500471,
-      "rows": 12,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003385.lean\",\"eb586031dc60dce0fe25c543f68d7a0cc818c79f86cec63e6667d498aea22f01\",0,\"lean_workbook_plus_26426\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003386.lean\",\"a1846240037fecd343c26166bb57041baeb0678eac089df2d52f8c012cc3fca0\",0,\"lean_workbook_plus_25298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003387.lean\",\"a50ad0c45a96b3df1dc121748f1410aa118044c074b5f9f3f83e45ec252f8e9b\",0,\"lean_workbook_plus_26083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278396,
+      "path": "data/train/pbc/oproofs-s00002-r00003384-n000004-0000-05f3fc2d55629a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "05f3fc2d55629a581052c384d865915dcdd326163dc78c05f5c4c98d13476948"
+    },
+    {
+      "bytes": 500471,
+      "path": "data/internal_test/pbc/oproofs-s00002-r00003384-n000004-0000-f3b0851d74623f8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f3b0851d74623f8d1937f05fd0c640747ce5b9bfe0e75669ac70dba171aa4d76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003388-n000004.json b/manifests/batches/oproofs/s00002-r00003388-n000004.json
index 0d83a2c0312c244038e9fc80e7e37c949c6759b1..0a46d813e48c752de8faf30374871c1343f4f8dc 100644
--- a/manifests/batches/oproofs/s00002-r00003388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003388-n000004",
   "batch_fingerprint": "9e60126070970a5531b4e0ca522acbaf32913ecece09d9030b8dd050a49683fa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003388-n000004-0000-c0414c11233056e1.parquet",
-      "sha256": "c0414c11233056e195f09241fa6b268b97ead9f5ca7e1b64baf434d965eba1f6",
-      "bytes": 118157,
-      "rows": 6,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003388-n000004-0000-ab86e82fb5e40522.parquet",
-      "sha256": "ab86e82fb5e405225d1549179aa520e591783a43204eb0acfe031e3aae594def",
-      "bytes": 176033,
-      "rows": 8,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003389.lean\",\"2aba6be9c919ff2ceb59b24e487d1b3a80442f03596ce18e6dc9865f218348cb\",0,\"lean_workbook_plus_24075\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003390.lean\",\"541c0db0705f850a3d99d4fc47eb6006a0b226282d83800e59cdec343ba03fbe\",0,\"lean_workbook_plus_25891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003391.lean\",\"3c71d4925427699121041ef96f3f52a9301b4cd763c770c362b74b2a6953a6a9\",0,\"lean_workbook_plus_25532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118157,
+      "path": "data/train/p97/oproofs-s00002-r00003388-n000004-0000-c0414c11233056e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c0414c11233056e195f09241fa6b268b97ead9f5ca7e1b64baf434d965eba1f6"
+    },
+    {
+      "bytes": 176033,
+      "path": "data/internal_test/p97/oproofs-s00002-r00003388-n000004-0000-ab86e82fb5e40522.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ab86e82fb5e405225d1549179aa520e591783a43204eb0acfe031e3aae594def"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003392-n000004.json b/manifests/batches/oproofs/s00002-r00003392-n000004.json
index 725d2acfb72f0dba2c97fda6019f7f900fec07b9..e9079744ac46535c6dda3a23c14f1d9065557a03 100644
--- a/manifests/batches/oproofs/s00002-r00003392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003392-n000004",
   "batch_fingerprint": "2795c8165ca967fb87819c33cb2eb61abcecc7b42148097a510dc5a564ab8834",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003392-n000004-0000-d2a6c327ea608a82.parquet",
-      "sha256": "d2a6c327ea608a82dbb7e29ac6c46af6e9d40f7233044c05437b1e80943be3a9",
-      "bytes": 735581,
-      "rows": 21,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003393.lean\",\"a7fa477b037e9e11e76ef2cea91964fca8b719ff7f6be28bbc8582604063499a\",0,\"lean_workbook_plus_25465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003394.lean\",\"47e8f8003ea55c321e9c8eaa783a424d39e71dce3beaeedc945f10332a5a2a52\",0,\"lean_workbook_plus_26401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003395.lean\",\"e639c08791b3a682d10084b8c87fe7e6d93d33cd76528ef2977041969efe94e5\",0,\"lean_workbook_plus_26231\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 735581,
+      "path": "data/train/p34/oproofs-s00002-r00003392-n000004-0000-d2a6c327ea608a82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d2a6c327ea608a82dbb7e29ac6c46af6e9d40f7233044c05437b1e80943be3a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003396-n000004.json b/manifests/batches/oproofs/s00002-r00003396-n000004.json
index ffa256e0e041e9a03a445d6e56fbb4f2c29bd4d8..7baa68a14c744bc290e71027129e07b34202f8d6 100644
--- a/manifests/batches/oproofs/s00002-r00003396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003396-n000004",
   "batch_fingerprint": "c18642aee50cb571b8278910ff87c332f04fadb596fbf20d8e2b8574ef08f881",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003396-n000004-0000-d7db25dd6f31569d.parquet",
-      "sha256": "d7db25dd6f31569dbf445bafb59a98b963c3996ba76798d468e86c3fb78801fd",
-      "bytes": 402323,
-      "rows": 12,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003396-n000004-0000-24aeb8a0f853d798.parquet",
-      "sha256": "24aeb8a0f853d798369b47ea437236123d312e2d68e7595fc7c8bb61edf3608e",
-      "bytes": 58628,
-      "rows": 2,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003397.lean\",\"abc83e49ef008718468531c0fd4bd64032e3493363ca94a5cd59898b9373fa89\",0,\"lean_workbook_plus_25220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003398.lean\",\"219fced5b82b1d4f9b8e8d54c121dd6e1d496731dfdc6027f0e80a376d235f18\",0,\"lean_workbook_plus_26260\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003399.lean\",\"8dbe3adc89c223501ed430d8faede1bd15b10aa96ad6ce2860c80c6035ab1e7f\",0,\"lean_workbook_plus_25328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402323,
+      "path": "data/train/p84/oproofs-s00002-r00003396-n000004-0000-d7db25dd6f31569d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d7db25dd6f31569dbf445bafb59a98b963c3996ba76798d468e86c3fb78801fd"
+    },
+    {
+      "bytes": 58628,
+      "path": "data/internal_test/p84/oproofs-s00002-r00003396-n000004-0000-24aeb8a0f853d798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "24aeb8a0f853d798369b47ea437236123d312e2d68e7595fc7c8bb61edf3608e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003400-n000004.json b/manifests/batches/oproofs/s00002-r00003400-n000004.json
index fba0491426734006e5444fe931bebc11aacb3e60..0e2eec5e3133d7bfe91ddfb815e9f94cfe52a37f 100644
--- a/manifests/batches/oproofs/s00002-r00003400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003400-n000004",
   "batch_fingerprint": "4bb39664e94ff9e7112c25d6e35ed89f93924bec664e4a4413f9054edee478fc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003400-n000004-0000-2974c849307ae7d3.parquet",
-      "sha256": "2974c849307ae7d3cfd7aea2b188fc47373ba56899effb1be56d225cde18572b",
-      "bytes": 839042,
-      "rows": 29,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003401.lean\",\"ef082fd8aef3fc720d98b0837a7dc5cd15b34218d790c238327b183fdc440489\",0,\"lean_workbook_plus_2615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003402.lean\",\"b1f3647345d69c0383de291f84d990ec1210d29330c213e92a910b6d7deceff0\",0,\"lean_workbook_plus_22790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003403.lean\",\"4e606483526986164340dc15e739660bca9651200955413b6210e1d5e72f5d82\",0,\"lean_workbook_plus_2640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 839042,
+      "path": "data/train/p4a/oproofs-s00002-r00003400-n000004-0000-2974c849307ae7d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "2974c849307ae7d3cfd7aea2b188fc47373ba56899effb1be56d225cde18572b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003404-n000004.json b/manifests/batches/oproofs/s00002-r00003404-n000004.json
index 7f08fe60347ca724d0985814bbd0f89f5ce63cb7..47785da75069d41bc597b9a7d25128fcd63b7c91 100644
--- a/manifests/batches/oproofs/s00002-r00003404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003404-n000004",
   "batch_fingerprint": "886a1e04c4c0527b08ff201290a11e23872454cba75200ff1fb8cd5c8c2f2735",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003404-n000004-0000-28b01709b2d444c5.parquet",
-      "sha256": "28b01709b2d444c534d879500f5d9103ae35c23063d3a0f3d1aea485fbb0710c",
-      "bytes": 529086,
-      "rows": 14,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003405.lean\",\"fb1be2d8a4b002637d7740a89bb24749e79aa3c356a49bcc5114c3989eaa5af8\",0,\"lean_workbook_plus_26332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003406.lean\",\"451135ff35be65b36fc92765e6b72b4e900d3d5967ddcadc022065d602fe2599\",0,\"lean_workbook_plus_26019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003407.lean\",\"fd46b9f753035bf829ba07fb50e0299a5509f32594db8dfd225ee5c6423ed439\",0,\"lean_workbook_plus_24564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 529086,
+      "path": "data/train/p7f/oproofs-s00002-r00003404-n000004-0000-28b01709b2d444c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "28b01709b2d444c534d879500f5d9103ae35c23063d3a0f3d1aea485fbb0710c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003408-n000004.json b/manifests/batches/oproofs/s00002-r00003408-n000004.json
index b166b0218deb954a2dd15f88ce73b9a570a74b7c..cd07798781c932b72459dcfe9b22f520fd964b55 100644
--- a/manifests/batches/oproofs/s00002-r00003408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003408-n000004",
   "batch_fingerprint": "6ac8d4bf39c42c6d77bcf4bf9b44fa7d98df6f36ab85908555039335d42f8a96",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003408-n000004-0000-a13c16a9462ee3d4.parquet",
-      "sha256": "a13c16a9462ee3d4c4bb5ec65ae833968fcfb8439a9dea385561744cbfebd5b5",
-      "bytes": 190866,
-      "rows": 6,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3409",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003408.lean\",\"130951ca1868a63b2d9e9539e6b0d191eedf8ed170c1521e4e933e36ae6a1210\",0,\"lean_workbook_plus_25829\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003409.lean\",\"5ec85c5ddb2c0c4aad0a4cbec7689384a9a8faef1c23bb57f4eee5e75dd14576\",0,\"exists_function_with_inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003411.lean\",\"55c24659c6d38077110b3856cda7f4a23f941970080e4e34a3aaedc8efb88d3c\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190866,
+      "path": "data/train/p78/oproofs-s00002-r00003408-n000004-0000-a13c16a9462ee3d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a13c16a9462ee3d4c4bb5ec65ae833968fcfb8439a9dea385561744cbfebd5b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003412-n000004.json b/manifests/batches/oproofs/s00002-r00003412-n000004.json
index 3a39b15f6d41eca2204a0a5b6ceb1cb753602a51..be703e0828081ec748a3c37d8221d415a4f05afb 100644
--- a/manifests/batches/oproofs/s00002-r00003412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003412-n000004",
   "batch_fingerprint": "20e049b64138b19c3f5c31bf5ee8e93aa5ddab54326af993d5f222d91e3af493",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003412-n000004-0000-5bfa9917fd91fe3c.parquet",
-      "sha256": "5bfa9917fd91fe3c2f8bf4f0c8bbc26142d264fca4411cce03b8e559057c13f0",
-      "bytes": 574606,
-      "rows": 21,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003413.lean\",\"a414b7578bb5ca1ec4d3fa31b02f0fd2384af250d7c4fcdeb80ad858c0c74a1e\",0,\"lean_workbook_plus_23867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003414.lean\",\"97ec7b6f5c700638ac33b0c4c0e7d3cacbe3bb90980a843b2bbb8a079b543483\",0,\"exists_real_root\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003415.lean\",\"6bc897e3b639d61c58bec6e01babc8941a6a8a496004e881d5350b198a919843\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 574606,
+      "path": "data/train/pb0/oproofs-s00002-r00003412-n000004-0000-5bfa9917fd91fe3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5bfa9917fd91fe3c2f8bf4f0c8bbc26142d264fca4411cce03b8e559057c13f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003416-n000004.json b/manifests/batches/oproofs/s00002-r00003416-n000004.json
index 7397165b2541ce8e5d7b4247ca9d898e77312b9e..df90e6a0ee72f7f96858745676742bdce5b35a15 100644
--- a/manifests/batches/oproofs/s00002-r00003416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003416-n000004",
   "batch_fingerprint": "ae60029376788c10f99591dd46ce204396fbe9769682f6df91bd6b13fb225783",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3416",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3417",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3418",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3419"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003416.lean\",\"34847494ddb5cc8a97abe41de91388d504a0a3e0abf902317234bcae8f314e21\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003417.lean\",\"e08087fea461898aa3777ceda3991c1e21ccb7c560d29fbd428de10244c9df81\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003418.lean\",\"80111c702ecb8e8b6d30dc74c16e458b59ac128073e8c0192cc6201acfeddb12\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003419.lean\",\"8ff987950b3e9dcea3c2587865a30c31c96816917853cd108c67a989b75b13b5\",0,\"min_max_sec_sum\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003416-n000004-0000-a3bc87165498d145.parquet",
-      "sha256": "a3bc87165498d14504656703aac549f81fa364f150c452a3d9639b543b5da2c3",
       "bytes": 552917,
+      "path": "data/train/pd0/oproofs-s00002-r00003416-n000004-0000-a3bc87165498d145.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "a3bc87165498d14504656703aac549f81fa364f150c452a3d9639b543b5da2c3"
     },
     {
-      "path": "data/train/oproofs-s00002-r00003416-n000004-0001-63c4de8359f5344c.parquet",
-      "sha256": "63c4de8359f5344ca7c45aa9f80bbf088ccc2ac49500d44f82da185e2d0ffc7d",
       "bytes": 1870560,
+      "path": "data/train/pd0/oproofs-s00002-r00003416-n000004-0001-63c4de8359f5344c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "63c4de8359f5344ca7c45aa9f80bbf088ccc2ac49500d44f82da185e2d0ffc7d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00003416-n000004-0002-3aa3b8d66420c3af.parquet",
-      "sha256": "3aa3b8d66420c3afda39ce9fd9c2c84ecaa73f3239af235e850bd3928c13a0d5",
       "bytes": 50239,
+      "path": "data/train/pd0/oproofs-s00002-r00003416-n000004-0002-3aa3b8d66420c3af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
+      "sha256": "3aa3b8d66420c3afda39ce9fd9c2c84ecaa73f3239af235e850bd3928c13a0d5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3416",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3417",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3418",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3419"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003416.lean\",\"34847494ddb5cc8a97abe41de91388d504a0a3e0abf902317234bcae8f314e21\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003417.lean\",\"e08087fea461898aa3777ceda3991c1e21ccb7c560d29fbd428de10244c9df81\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003418.lean\",\"80111c702ecb8e8b6d30dc74c16e458b59ac128073e8c0192cc6201acfeddb12\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003419.lean\",\"8ff987950b3e9dcea3c2587865a30c31c96816917853cd108c67a989b75b13b5\",0,\"min_max_sec_sum\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003420-n000004.json b/manifests/batches/oproofs/s00002-r00003420-n000004.json
index 2f2a9e3c4b2dde4f9d461d859395f16b3c239a93..83875246b704eadee5c73fa357a56fea9271a0a0 100644
--- a/manifests/batches/oproofs/s00002-r00003420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003420-n000004",
   "batch_fingerprint": "366fa72c49fca900c966296f7f0b5655b56e8f6e9e49b755d6613605cfbd294d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003420-n000004-0000-baf6c9f1a2c709e8.parquet",
-      "sha256": "baf6c9f1a2c709e8d08fba243165657f3e50c92f6aa77b1761f51038ff4fae06",
-      "bytes": 476691,
-      "rows": 21,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003420-n000004-0000-01aa6244690bb5e6.parquet",
-      "sha256": "01aa6244690bb5e69ad50c5940822e4d38d27f242d39d2d4126a5762cb4e72a2",
-      "bytes": 118330,
-      "rows": 3,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3421",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003421.lean\",\"24d499a4d7f35969c36fa4c4c636f62877cd701992b55120e0b74b09acf908dc\",0,\"no_such_k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003422.lean\",\"79b911e26e1751e1cc718c278377af6156741977aed488a2188f0fba858b6390\",0,\"exists_W_smallest\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003423.lean\",\"d471533e4fd5664f5faf4835d8867ebe0748135a128ba9351bd18807aad7767f\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476691,
+      "path": "data/train/p5f/oproofs-s00002-r00003420-n000004-0000-baf6c9f1a2c709e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "baf6c9f1a2c709e8d08fba243165657f3e50c92f6aa77b1761f51038ff4fae06"
+    },
+    {
+      "bytes": 118330,
+      "path": "data/dev/p5f/oproofs-s00002-r00003420-n000004-0000-01aa6244690bb5e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "01aa6244690bb5e69ad50c5940822e4d38d27f242d39d2d4126a5762cb4e72a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003424-n000004.json b/manifests/batches/oproofs/s00002-r00003424-n000004.json
index 2c051377f82608f3ab3e56570389ec18eeb78221..3a071416940601fc399e9d403789eda034c1860b 100644
--- a/manifests/batches/oproofs/s00002-r00003424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003424-n000004",
   "batch_fingerprint": "2cec59ed34a756ece8e814d364d6cb0ce28f787c35ca9dea60d9271d825d9934",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003424-n000004-0000-8f3e6d013b7e273a.parquet",
-      "sha256": "8f3e6d013b7e273a5d935a59e59d5792fdd9ec8f6e192912edbf4f420850c383",
-      "bytes": 292823,
-      "rows": 10,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003425.lean\",\"881d27b3896f791233a7899bde7ef9785aecac35d051c1be50e0c64c02090760\",0,\"lean_workbook_plus_23306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003426.lean\",\"f7b68803b259a865c4a912ba51f54b6fc9ab37a2f46b520ef1e46cc61ff7b43f\",0,\"min_max_P\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003427.lean\",\"bdb38bc948ba4696d16a1994772214010e3587f5befc56931e98e1fa90faeac4\",0,\"find_least_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292823,
+      "path": "data/train/pc2/oproofs-s00002-r00003424-n000004-0000-8f3e6d013b7e273a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8f3e6d013b7e273a5d935a59e59d5792fdd9ec8f6e192912edbf4f420850c383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003428-n000004.json b/manifests/batches/oproofs/s00002-r00003428-n000004.json
index 746ff7bd6c6f766a6e85a1be3bcaf0a015fb3e54..610bd0fb9fa4fe5043a027096a6db3d16f29bc23 100644
--- a/manifests/batches/oproofs/s00002-r00003428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003428-n000004",
   "batch_fingerprint": "702241173c06873aba044b2e6747ceadc0c02230763f4d44d307b5cd0a4f83fa",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003428-n000004-0000-36d26d1639d8c2e0.parquet",
-      "sha256": "36d26d1639d8c2e065a7d0e353030d6ea7859f809b7fd3b58a889f3bd70892a6",
-      "bytes": 212485,
-      "rows": 11,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003428-n000004-0000-02a8efaf709f62a8.parquet",
-      "sha256": "02a8efaf709f62a8f36ddb5c21d619d9ab95fc5d5b1cd53609498bc786204fc4",
-      "bytes": 34503,
-      "rows": 2,
-      "revision": "f7679e19f5b9862a1abe8e9929c5e2b319fd0400"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3430",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003428.lean\",\"d7f26efa6cec8b1d0ef6da4890ae57d942eded533dc7d178ab39e45b9eea92d3\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003430.lean\",\"bfd4b213de6ae6b3123d2641217a4b7d88e04dd5752e4e7b3a7771305ac45f6b\",0,\"lean_workbook_plus_23006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003431.lean\",\"3b67da8f16399b75f771ca35c1d75c40db9adcd6528052cc7c46350621ea7f18\",0,\"lean_workbook_plus_22826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212485,
+      "path": "data/train/p1c/oproofs-s00002-r00003428-n000004-0000-36d26d1639d8c2e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "36d26d1639d8c2e065a7d0e353030d6ea7859f809b7fd3b58a889f3bd70892a6"
+    },
+    {
+      "bytes": 34503,
+      "path": "data/internal_test/p1c/oproofs-s00002-r00003428-n000004-0000-02a8efaf709f62a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "02a8efaf709f62a8f36ddb5c21d619d9ab95fc5d5b1cd53609498bc786204fc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003432-n000004.json b/manifests/batches/oproofs/s00002-r00003432-n000004.json
index 0769f8d47ea8ce1636c2b2ffda018a62f8b19d26..83b9c5feddc70b7dc8fc103e91f9da9ac1e97715 100644
--- a/manifests/batches/oproofs/s00002-r00003432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003432-n000004",
   "batch_fingerprint": "58a9511a5175ccb755ae9a7615ff071eb77cf8cb1e01fd0d84a9e20f45e5a286",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003432-n000004-0000-86c5ee4e316ffb57.parquet",
-      "sha256": "86c5ee4e316ffb571de997aae2c976b955ce0849ffc2f1fe58983e2fa5d8a0a6",
-      "bytes": 69569,
-      "rows": 11,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003432-n000004-0000-b74ce7b2cc9b5f12.parquet",
-      "sha256": "b74ce7b2cc9b5f1224b843296f1b22e1eb055e01113853b5fb44ddf087d93397",
-      "bytes": 51277,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003433.lean\",\"dcd5ac70d35226ef6003da6e69a05501786e028565c59ab4118e63e67b1ab3e9\",0,\"lean_workbook_plus_23177\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003434.lean\",\"cf20512b90026aa2ca5eb5270c8ec5b3094e93ae24882c8e27850a774752e1ad\",0,\"lean_workbook_plus_22915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003435.lean\",\"35f1fdbb3ced775079d6154a5f76f574005f42e208e833ce3301c16b9995a943\",0,\"lean_workbook_plus_2318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69569,
+      "path": "data/train/p73/oproofs-s00002-r00003432-n000004-0000-86c5ee4e316ffb57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "86c5ee4e316ffb571de997aae2c976b955ce0849ffc2f1fe58983e2fa5d8a0a6"
+    },
+    {
+      "bytes": 51277,
+      "path": "data/internal_test/p73/oproofs-s00002-r00003432-n000004-0000-b74ce7b2cc9b5f12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b74ce7b2cc9b5f1224b843296f1b22e1eb055e01113853b5fb44ddf087d93397"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003436-n000004.json b/manifests/batches/oproofs/s00002-r00003436-n000004.json
index f20682da57ae50ceb4547614a213506bfd0d7207..a48cce6178a613b6930562d55309b732734745c8 100644
--- a/manifests/batches/oproofs/s00002-r00003436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003436-n000004",
   "batch_fingerprint": "4d1b5ec638cb06118d9d66ab3fe85d85ed5337c4bb636dfcd4cd242cec01fb7a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003436-n000004-0000-c2cef615e7e931ff.parquet",
-      "sha256": "c2cef615e7e931ff5883582e1658b11441200c311adbcd1277c53e95814598a1",
-      "bytes": 138195,
-      "rows": 17,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003437.lean\",\"792d3044f1fbf8b88f7902c7dd10ad9538fbc150cd1ba925d436b0ed62fa6c16\",0,\"lean_workbook_plus_23073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003438.lean\",\"290c4e527f64a11622704084caa65c1adf7079fe793a5e9e3ef616e6a5f06a28\",0,\"lean_workbook_plus_23341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003439.lean\",\"452c8997ba864ceeb993a6e18ca23f1584937ec5fb05649e93c3f2fe4b7af106\",0,\"lean_workbook_plus_23236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138195,
+      "path": "data/train/p7a/oproofs-s00002-r00003436-n000004-0000-c2cef615e7e931ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c2cef615e7e931ff5883582e1658b11441200c311adbcd1277c53e95814598a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003440-n000004.json b/manifests/batches/oproofs/s00002-r00003440-n000004.json
index 1e48e0435da24eed2f9627b0855dfec0175b3b46..eb7dbcd2b52d82efaace4677a26bc6337eb90c89 100644
--- a/manifests/batches/oproofs/s00002-r00003440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003440-n000004",
   "batch_fingerprint": "c1bd854f245ac93c4e19b2772c43cdbeb58c697b65d5f5afc07b5ac6868d3e55",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003440-n000004-0000-d33e352b98dfc950.parquet",
-      "sha256": "d33e352b98dfc950913c086c8f8f6da3859e7925f38169cfc6bdd60a42293470",
-      "bytes": 55078,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003440-n000004-0000-90f5e6780798a938.parquet",
-      "sha256": "90f5e6780798a938be6bf1f7b6d3bc60800886100fc8727e601abbee7b938117",
-      "bytes": 49731,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3441",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003441.lean\",\"a8b782dcb66963e33b50ac64bfb21aeaf7ed22a55230036442c80743285317f2\",0,\"lean_workbook_plus_22779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003442.lean\",\"11f66412be99557e576098ded4a2ff90fa7c9be385d172bd3bd933b657938169\",0,\"lean_workbook_plus_23007\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003443.lean\",\"6bfaabc8edfc1bb41c6271273387b4260bcd0475778d8d655e90e3fb7df7a8d1\",0,\"lean_workbook_plus_2279\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55078,
+      "path": "data/train/p28/oproofs-s00002-r00003440-n000004-0000-d33e352b98dfc950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d33e352b98dfc950913c086c8f8f6da3859e7925f38169cfc6bdd60a42293470"
+    },
+    {
+      "bytes": 49731,
+      "path": "data/internal_test/p28/oproofs-s00002-r00003440-n000004-0000-90f5e6780798a938.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "90f5e6780798a938be6bf1f7b6d3bc60800886100fc8727e601abbee7b938117"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003444-n000004.json b/manifests/batches/oproofs/s00002-r00003444-n000004.json
index 29e17369808b23b71375da2118d51fdcb8b92631..cde7cde1e311534d394199161a3b7b0194519789 100644
--- a/manifests/batches/oproofs/s00002-r00003444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003444-n000004",
   "batch_fingerprint": "948ea3f78514445d09a31526e1951a3764291c358234d4553dbbb5c439c40abd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003444-n000004-0000-a35da98218bcdfa8.parquet",
-      "sha256": "a35da98218bcdfa8865b8ca502d3976519406c81fa76e63bca671c8cb8d0d00e",
-      "bytes": 55529,
-      "rows": 10,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003444-n000004-0000-c23f85c27d423f24.parquet",
-      "sha256": "c23f85c27d423f24f42537324ab21b5f6bbe8432ca578c83c86f1f678a78c6f1",
-      "bytes": 53516,
-      "rows": 4,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3445",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003445.lean\",\"a1d7cc0e56d07ba8c84132e6ba25ee2e6db0b47b702403b0d612e404f500f125\",0,\"lean_workbook_plus_22802\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003446.lean\",\"cb9acf21c76d8d33912d6b87f08f77985ca5051a45efc5b51e8a3d1175923683\",0,\"lean_workbook_plus_23093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003447.lean\",\"313f14c16c067d6d4d4a8aa7be626879875df1f68c6d78d9add2c7c73bcfd320\",0,\"lean_workbook_plus_2284\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55529,
+      "path": "data/train/pf1/oproofs-s00002-r00003444-n000004-0000-a35da98218bcdfa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a35da98218bcdfa8865b8ca502d3976519406c81fa76e63bca671c8cb8d0d00e"
+    },
+    {
+      "bytes": 53516,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00003444-n000004-0000-c23f85c27d423f24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c23f85c27d423f24f42537324ab21b5f6bbe8432ca578c83c86f1f678a78c6f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003448-n000004.json b/manifests/batches/oproofs/s00002-r00003448-n000004.json
index fa8068b60b7a59a74e2c6dee83d61bfa2966402c..0ddd8e79a9a28bcfc83f99e95439545ca88f03ca 100644
--- a/manifests/batches/oproofs/s00002-r00003448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003448-n000004",
   "batch_fingerprint": "5fcfca7d26aa3cf696387b643698f06795f585bde26d00c7dffc48162df0af86",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003448-n000004-0000-b0ceda902fdb51e1.parquet",
-      "sha256": "b0ceda902fdb51e19c96ba6b9a9eaa67b3350a824ff1be350ab6044a8e26786b",
-      "bytes": 98226,
-      "rows": 15,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003449.lean\",\"1462ae3ba67572c065285d32eb27564727d18112a737668f845e0671085b2863\",0,\"lean_workbook_plus_23106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003450.lean\",\"e6c59a396612f7f80d5bb383afa4a43b50a8ee13a3f3b25c55f49ec1ac769343\",0,\"lean_workbook_plus_23174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003451.lean\",\"f22ffba1bd67d3a9b6ace734f0f87cc993416df2c8ce354e27469d6c99d3aa28\",0,\"lean_workbook_plus_23252\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98226,
+      "path": "data/train/p3f/oproofs-s00002-r00003448-n000004-0000-b0ceda902fdb51e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b0ceda902fdb51e19c96ba6b9a9eaa67b3350a824ff1be350ab6044a8e26786b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003452-n000004.json b/manifests/batches/oproofs/s00002-r00003452-n000004.json
index 9e5a9e492367b8c452a5eda30aa31db9de7c95b2..f7ad3d0542a1937513854c1436ac32c3d1e10668 100644
--- a/manifests/batches/oproofs/s00002-r00003452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003452-n000004",
   "batch_fingerprint": "f2a60f8e7a2427c51d40cf127c886412afb19beae7ba1a602218a78d616363c9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003452-n000004-0000-7862fbd1ecc6f056.parquet",
-      "sha256": "7862fbd1ecc6f056556b64b08bf78ce130c4cc1e73fff4dea1d3e121844c936f",
-      "bytes": 68048,
-      "rows": 11,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003452-n000004-0000-3956990d4729a47e.parquet",
-      "sha256": "3956990d4729a47e8e49bb7be3aecd9ce71ba7ac358e2330caa532658bb7d04d",
-      "bytes": 47247,
-      "rows": 5,
-      "revision": "25774cf26e1c79280405d021e88306e22b7fd5a2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003453.lean\",\"f0a511148a6abc18964d90e0c660ee38a7917a5208591b678e514ec0cd861417\",0,\"lean_workbook_plus_23104\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003454.lean\",\"04ea309fd835565f366b7abbd414c46519217b09de86ffa7b6d1d13da864992d\",0,\"lean_workbook_plus_23162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003455.lean\",\"7ef1a41618782527e9ef6cc92a1b19f77b54be5cca79f79b680c1407b46f046e\",0,\"lean_workbook_plus_23294\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68048,
+      "path": "data/train/p47/oproofs-s00002-r00003452-n000004-0000-7862fbd1ecc6f056.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7862fbd1ecc6f056556b64b08bf78ce130c4cc1e73fff4dea1d3e121844c936f"
+    },
+    {
+      "bytes": 47247,
+      "path": "data/internal_test/p47/oproofs-s00002-r00003452-n000004-0000-3956990d4729a47e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3956990d4729a47e8e49bb7be3aecd9ce71ba7ac358e2330caa532658bb7d04d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003456-n000004.json b/manifests/batches/oproofs/s00002-r00003456-n000004.json
index 9d2eae50bf29a03680d580d02fe00aef3b245136..07593f8f43102eb4b8b4faf0eddbc1be3d35a70f 100644
--- a/manifests/batches/oproofs/s00002-r00003456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003456-n000004",
   "batch_fingerprint": "04635b3a97b1d665691769876fc29b0ccaad77ceb8eeb5e77ae6aa0d54e0cd2c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003456-n000004-0000-0ad71414e0cfd82c.parquet",
-      "sha256": "0ad71414e0cfd82ca89bc2733a5cc9cb285c56df6643d611f4d84fe9c8608d6d",
-      "bytes": 131547,
-      "rows": 16,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003457.lean\",\"1ec5b14884b2473e45470a462d3b8f2f524a0494717d88fbeb56e0b00b9b2823\",0,\"lean_workbook_plus_23347\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003458.lean\",\"3aec3787ba4e07685419fbe724d6a6d399e6000536373df8e584c5aa7d6ffa58\",0,\"lean_workbook_plus_23050\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003459.lean\",\"65ed763ceeeeef157eebf980c2bd79d0f083a186bcb88faa61cb1db13a96501c\",0,\"lean_workbook_plus_22985\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131547,
+      "path": "data/train/p84/oproofs-s00002-r00003456-n000004-0000-0ad71414e0cfd82c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0ad71414e0cfd82ca89bc2733a5cc9cb285c56df6643d611f4d84fe9c8608d6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003460-n000004.json b/manifests/batches/oproofs/s00002-r00003460-n000004.json
index 7997d6860d47efcef2c07008ddefca597552e087..9800d516bea5f06f0907adfeed9b16db7e37d684 100644
--- a/manifests/batches/oproofs/s00002-r00003460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003460-n000004",
   "batch_fingerprint": "fb1a78783b7d47f85e9d24c610aedf38da80b2ba323e706dacf1b23c49f7d460",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003460-n000004-0000-fec39441c33f1483.parquet",
-      "sha256": "fec39441c33f1483c2f5e5f32dade4d2a213ffe9b603df8f88fdf7d0ffaacad8",
-      "bytes": 78824,
-      "rows": 4,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003460-n000004-0000-312e165d7895308e.parquet",
-      "sha256": "312e165d7895308e8b4b3e27fdbe19173f1174c63067b5f002f10147fa470943",
-      "bytes": 130446,
-      "rows": 14,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003461.lean\",\"0dd5a3c706a6516144d206c6ce0c88f15fd5be77beae7b9dc6590924882fe5e9\",0,\"lean_workbook_plus_23265\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003462.lean\",\"7340a9e0bb4c6d2fe3eb444e91a69323db7c3f75e13824862e2b90d8205c9d50\",0,\"lean_workbook_plus_23131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003463.lean\",\"0eb6a9763216a0d363c400e47de502b4f0372c14edbf0031d54e1352f474c374\",0,\"lean_workbook_plus_23424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78824,
+      "path": "data/train/p59/oproofs-s00002-r00003460-n000004-0000-fec39441c33f1483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fec39441c33f1483c2f5e5f32dade4d2a213ffe9b603df8f88fdf7d0ffaacad8"
+    },
+    {
+      "bytes": 130446,
+      "path": "data/internal_test/p59/oproofs-s00002-r00003460-n000004-0000-312e165d7895308e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "312e165d7895308e8b4b3e27fdbe19173f1174c63067b5f002f10147fa470943"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003464-n000004.json b/manifests/batches/oproofs/s00002-r00003464-n000004.json
index dd1a82f6335b1200e3258156fdffd70ea2dcb437..fab5760cd3059451a485784f127454f408718239 100644
--- a/manifests/batches/oproofs/s00002-r00003464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003464-n000004",
   "batch_fingerprint": "0db4a1cbfea08a1c8d033478118fff2d5951348c0423a04fe70e9d7d648dbad1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003464-n000004-0000-1d54e501dda346c4.parquet",
-      "sha256": "1d54e501dda346c40aa2fcb800c48a283372fe5cc83fa556e545a4a4ead75003",
-      "bytes": 308952,
-      "rows": 18,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003465.lean\",\"b15c2db1367d65e742335f3fcf5fb5dcc504ce6b747dcce90b79409f4d583357\",0,\"lean_workbook_plus_2311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003466.lean\",\"79700282cee56c482b99906f193db821c6cd8dfc41605dc421384c96ddbdba6c\",0,\"lean_workbook_plus_22982\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003467.lean\",\"6d6bff39bf704a06a5ad21839ab624f8d6e62d30c28ea986178af301e350849d\",0,\"lean_workbook_plus_23029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308952,
+      "path": "data/train/pf8/oproofs-s00002-r00003464-n000004-0000-1d54e501dda346c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1d54e501dda346c40aa2fcb800c48a283372fe5cc83fa556e545a4a4ead75003"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003468-n000004.json b/manifests/batches/oproofs/s00002-r00003468-n000004.json
index c22375412405136fea4547509d3412a12296ddf5..00d008c8fce0417b4936a011e2df0fe966508cb9 100644
--- a/manifests/batches/oproofs/s00002-r00003468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003468-n000004",
   "batch_fingerprint": "3f06f846943439e0abd3e2f80a116617c3c8f2d12c3668c33f655467ea9162aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003468-n000004-0000-b5822593a0332567.parquet",
-      "sha256": "b5822593a0332567b1b6401a85f3e15b4f0e212a918eb44f30f4096233758aef",
-      "bytes": 108998,
-      "rows": 9,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003468-n000004-0000-226832e9defc62e6.parquet",
-      "sha256": "226832e9defc62e6c7e54e5d21024c4a4038a568e47153dfd78572501c6eb50d",
-      "bytes": 62882,
-      "rows": 2,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003469.lean\",\"3722e152f756e5a0ff0672a42b118b325b812a00bfb25fbb5a9ef676b7e2d736\",0,\"lean_workbook_plus_23482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003470.lean\",\"2faf11c3082b20486da3055547a65843cad8af07302d44c805f87b44940d11dd\",0,\"lean_workbook_plus_23412\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003471.lean\",\"8a271b8bd5d9577c032a12710467389a6cd257a40fe57f770e673d307d652a6b\",0,\"lean_workbook_plus_23463\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108998,
+      "path": "data/train/p65/oproofs-s00002-r00003468-n000004-0000-b5822593a0332567.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b5822593a0332567b1b6401a85f3e15b4f0e212a918eb44f30f4096233758aef"
+    },
+    {
+      "bytes": 62882,
+      "path": "data/internal_test/p65/oproofs-s00002-r00003468-n000004-0000-226832e9defc62e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "226832e9defc62e6c7e54e5d21024c4a4038a568e47153dfd78572501c6eb50d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003472-n000004.json b/manifests/batches/oproofs/s00002-r00003472-n000004.json
index 679ac6fb97af4647f123f4fd9446eceeb447a849..5fd15dbc7351994b2770e6d6bdf5512df67cac19 100644
--- a/manifests/batches/oproofs/s00002-r00003472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003472-n000004",
   "batch_fingerprint": "f3c15eb0fc32259f24555026e004061d8c5db1b720ef077327738473dba49526",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003472-n000004-0000-2e42ec0c88af5c1a.parquet",
-      "sha256": "2e42ec0c88af5c1ad29af40e36d31557c6a4777b7b08704009792f075b90d242",
-      "bytes": 113400,
-      "rows": 15,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003472-n000004-0000-688747c8ca3cebca.parquet",
-      "sha256": "688747c8ca3cebcaa9ac76e549e3b99430d44778565300fc6d99017993942385",
-      "bytes": 54643,
-      "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003473.lean\",\"103a296c5ef59fd1a770fde46db79d218971e787c51433257c7842e42c3546ca\",0,\"lean_workbook_plus_23113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003474.lean\",\"5ceb954bae5043dc22c4930d46ea5cdd96fd297dc768235406a6e2b3190e59d3\",0,\"lean_workbook_plus_23272\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003475.lean\",\"32f0281dfa44bb97e5cb30335cad07ccf87318f0da3dd1b2860542a9516b0454\",0,\"lean_workbook_plus_23480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113400,
+      "path": "data/train/pee/oproofs-s00002-r00003472-n000004-0000-2e42ec0c88af5c1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2e42ec0c88af5c1ad29af40e36d31557c6a4777b7b08704009792f075b90d242"
+    },
+    {
+      "bytes": 54643,
+      "path": "data/dev/pee/oproofs-s00002-r00003472-n000004-0000-688747c8ca3cebca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "688747c8ca3cebcaa9ac76e549e3b99430d44778565300fc6d99017993942385"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003476-n000004.json b/manifests/batches/oproofs/s00002-r00003476-n000004.json
index 00860c3e3e92b57db3677581a67a06958f9d99dd..bbf0da87ad9c13b4fa27ebb3c2c826bd5eb690f4 100644
--- a/manifests/batches/oproofs/s00002-r00003476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003476-n000004",
   "batch_fingerprint": "75f75e38f89a3e89831b1586dce57a90dad4b7755e21589d820052dc45a54e48",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003476-n000004-0000-a8673d70c5d1bf7b.parquet",
-      "sha256": "a8673d70c5d1bf7bb804c7445e2f5a29e5c1fa75e30c5270012d5fef23f7d1ec",
-      "bytes": 72631,
-      "rows": 11,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003476-n000004-0000-8b8abd523352893e.parquet",
-      "sha256": "8b8abd523352893eebca7009369918a1446d3f8f5d83bcb293281c8336b3d062",
-      "bytes": 26933,
-      "rows": 2,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003477.lean\",\"897656829e1947ee739d8f4d74e32d38030fbf9375ff85a3ece5f09a5dde7b73\",0,\"lean_workbook_plus_2353\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003478.lean\",\"63d4a77b6edc8e58137b3e7fa821d3f0e96f102327d2db64596188a645851f61\",0,\"lean_workbook_plus_23574\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003479.lean\",\"0d6167cfb991b4e35b04930523a7b5cf28f882a8246ffdc1ec9fc9625e6ba9df\",0,\"lean_workbook_plus_23622\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72631,
+      "path": "data/train/pf3/oproofs-s00002-r00003476-n000004-0000-a8673d70c5d1bf7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a8673d70c5d1bf7bb804c7445e2f5a29e5c1fa75e30c5270012d5fef23f7d1ec"
+    },
+    {
+      "bytes": 26933,
+      "path": "data/dev/pf3/oproofs-s00002-r00003476-n000004-0000-8b8abd523352893e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8b8abd523352893eebca7009369918a1446d3f8f5d83bcb293281c8336b3d062"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003480-n000004.json b/manifests/batches/oproofs/s00002-r00003480-n000004.json
index d21b6d7f1b7773f23255e33f931a29aba362bc7b..b896f2823eadac8633c9470d12f7aa391076d1a3 100644
--- a/manifests/batches/oproofs/s00002-r00003480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003480-n000004",
   "batch_fingerprint": "4afa15be6c688ed634a7052ee2e7c8da71e12fafbf78097dc1aac37335d79aac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003480-n000004-0000-f963b60901701776.parquet",
-      "sha256": "f963b60901701776e2e465670e44517a9a5c0e182c0d0ec33726ef5721dff9e9",
-      "bytes": 146336,
-      "rows": 16,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003481.lean\",\"7ed4e8feca62a754461cc63d75055456f4a66bd682ea4dac8f405388207b25d1\",0,\"lean_workbook_plus_2281\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003482.lean\",\"27c93f6172e312abda0d233af8752765acfab5343ba766961dd123459e874ac0\",0,\"lean_workbook_plus_23627\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003483.lean\",\"424dc5a3be6b4d50804b55b02988b5ab43049067a4b08f10ad8da74ffa09ee60\",0,\"lean_workbook_plus_23556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146336,
+      "path": "data/train/pfb/oproofs-s00002-r00003480-n000004-0000-f963b60901701776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f963b60901701776e2e465670e44517a9a5c0e182c0d0ec33726ef5721dff9e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003484-n000004.json b/manifests/batches/oproofs/s00002-r00003484-n000004.json
index 3940b55aefc01308c01d0f6b2c244c64ce28a892..20c9ae120ba8b76ab02dcb64a9c002ebddce7968 100644
--- a/manifests/batches/oproofs/s00002-r00003484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003484-n000004",
   "batch_fingerprint": "a5be873376cc8d370b6bb0bde9825f319068034c83fec51d69ef6446035940af",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003484-n000004-0000-03cf96d68c8beb24.parquet",
-      "sha256": "03cf96d68c8beb24a268d20894fe2fff55dd592e4131a0a4637c96e9fb63eadb",
-      "bytes": 165715,
-      "rows": 11,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003485.lean\",\"1932a3cb270cef802d0df0c5261f0c565a74bd94a285f365f16428966ac92ec7\",0,\"lean_workbook_plus_23476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003486.lean\",\"d5e5561dd26277b6dd8a6f9849b57fbb9bf0b2cc4afe56e01b810b7e2370c0fe\",0,\"lean_workbook_plus_23380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003487.lean\",\"64e2fe433525a7c6d3f1ecfa6b2678c47446f5374d238a145aa060608c013a00\",0,\"lean_workbook_plus_23531\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165715,
+      "path": "data/train/p95/oproofs-s00002-r00003484-n000004-0000-03cf96d68c8beb24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "03cf96d68c8beb24a268d20894fe2fff55dd592e4131a0a4637c96e9fb63eadb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003488-n000004.json b/manifests/batches/oproofs/s00002-r00003488-n000004.json
index 26bfbd9e2f17961baebe5a6b51229ccf04f1111b..da0114f77d3d1938dfe9bff8fc76a3d503c2e5ac 100644
--- a/manifests/batches/oproofs/s00002-r00003488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003488-n000004",
   "batch_fingerprint": "737c8b5d16f4586580811085f826ceb928fc3a94c301c6462574af8a6ed721c6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003488-n000004-0000-dcead6a45645a4c6.parquet",
-      "sha256": "dcead6a45645a4c662ed5c3da99db61461033d6817dafed8584e15522f2ce7ea",
-      "bytes": 136775,
-      "rows": 10,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003489.lean\",\"43ae383e81cf3d3c8cde3284adca24b95d41142f2b9a56e3f802408780770c68\",0,\"lean_workbook_plus_22842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003490.lean\",\"8ec811fc687983bc91b3e7033f036f4c702c13c0464ae14465f788b53771446e\",0,\"lean_workbook_plus_23560\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003491.lean\",\"2a1eb4399c7586449084b59ebef7f34129690f813cd0b16ce6c39d170fa90cbe\",0,\"lean_workbook_plus_23792\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136775,
+      "path": "data/train/p13/oproofs-s00002-r00003488-n000004-0000-dcead6a45645a4c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "dcead6a45645a4c662ed5c3da99db61461033d6817dafed8584e15522f2ce7ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003492-n000004.json b/manifests/batches/oproofs/s00002-r00003492-n000004.json
index 6d00c8a5bbc55910ecca29e3e68cfe9e0740655e..3f395e7fdb982bccf978571f7c2bb9d913c08890 100644
--- a/manifests/batches/oproofs/s00002-r00003492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003492-n000004",
   "batch_fingerprint": "9ff590508a0e159f9166e6fba00549f8cd0e851021bcd0bb03f25d334ffc4524",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003492-n000004-0000-0be526ecaacd6224.parquet",
-      "sha256": "0be526ecaacd6224297fa83051a217e351fc07a297952d89d1f449549f5b01af",
-      "bytes": 163490,
-      "rows": 13,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003492-n000004-0000-4a231f781f7bd032.parquet",
-      "sha256": "4a231f781f7bd032e18aad4f25fcf09f0eda5d86fa9db7964378068db609c125",
-      "bytes": 81650,
-      "rows": 7,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3493",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003493.lean\",\"c1b70efc4e5a166c44487440c0996b6a4512ba740df832c378d512db8b1995d5\",0,\"lean_workbook_plus_23000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003494.lean\",\"a704299f75126583dcff52b41b016c0e7909f3918026a8639eca08a2f6107b7d\",0,\"lean_workbook_plus_23430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003495.lean\",\"45f4de7b4a953fe92a4c3bac96ced96f65d1100d2b6e30c3678be28cd5ab5ab6\",0,\"lean_workbook_plus_23606\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163490,
+      "path": "data/train/p0d/oproofs-s00002-r00003492-n000004-0000-0be526ecaacd6224.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0be526ecaacd6224297fa83051a217e351fc07a297952d89d1f449549f5b01af"
+    },
+    {
+      "bytes": 81650,
+      "path": "data/internal_test/p0d/oproofs-s00002-r00003492-n000004-0000-4a231f781f7bd032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4a231f781f7bd032e18aad4f25fcf09f0eda5d86fa9db7964378068db609c125"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003496-n000004.json b/manifests/batches/oproofs/s00002-r00003496-n000004.json
index 23bfe6435e4f6f7f06e40ee51ad8ddc6ae02141b..650af2985d98b531b99cdc82831ad468a67081df 100644
--- a/manifests/batches/oproofs/s00002-r00003496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003496-n000004",
   "batch_fingerprint": "da29cea831b72c97b0a54c7f49b72d848f5aa274f527fa66f26bc06b84fb7105",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003496-n000004-0000-eabbdfdb17cfeffb.parquet",
-      "sha256": "eabbdfdb17cfeffba6fcdffbe1e34e2a01d8bfdbf8b10027ea064a3b6318801f",
-      "bytes": 238227,
-      "rows": 16,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003497.lean\",\"374a64f834ac6c53039f91bed7fbd510899781783a009368e2d3f365bd8f0d26\",0,\"lean_workbook_plus_23146\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003498.lean\",\"99b75af6bf6cfcf23bab4594ba84e415688cf6e5daec49fe88274830dde19d2d\",0,\"lean_workbook_plus_2376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003499.lean\",\"cc4b217168bf370920c74925e226b782c329380e75f28fbb6e2786179c7aa390\",0,\"lean_workbook_plus_23610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238227,
+      "path": "data/train/p14/oproofs-s00002-r00003496-n000004-0000-eabbdfdb17cfeffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "eabbdfdb17cfeffba6fcdffbe1e34e2a01d8bfdbf8b10027ea064a3b6318801f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003500-n000004.json b/manifests/batches/oproofs/s00002-r00003500-n000004.json
index d87292681ccb26669524644f2db73f43bc8ef8e9..ace39638d4e8a40f773376b53a72dfb2421f3b67 100644
--- a/manifests/batches/oproofs/s00002-r00003500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003500-n000004",
   "batch_fingerprint": "f533fe417d95f91b92c439280285a264818f24e7cabbf8afe4a807edb962eaab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003500-n000004-0000-c18c2f1b804ae873.parquet",
-      "sha256": "c18c2f1b804ae873d9b6e87d56ab85aec8cb7e0fcc5664efac4bf4027c720f21",
-      "bytes": 645799,
-      "rows": 13,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003500-n000004-0000-b5ce3285aaa1e418.parquet",
-      "sha256": "b5ce3285aaa1e418f6a1ae616860678af1275ae896fbe2de46e4050ba9b676c3",
-      "bytes": 152253,
-      "rows": 5,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3501",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003501.lean\",\"39b7946a28b81d932a59be8ac00f6e75c139db17a2c75d42f049459b0a2506e7\",0,\"lean_workbook_plus_23709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003502.lean\",\"df3610ded11551a08e0d44f1a9d77cafaf37d7e45dd72b57a7fe50672a73ad82\",0,\"lean_workbook_plus_23623\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003503.lean\",\"92d76a9ec7ff1f06c0835fe66fae9a335050a557a7c08514a54b984a5bc5f061\",0,\"lean_workbook_plus_23676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 645799,
+      "path": "data/train/p96/oproofs-s00002-r00003500-n000004-0000-c18c2f1b804ae873.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c18c2f1b804ae873d9b6e87d56ab85aec8cb7e0fcc5664efac4bf4027c720f21"
+    },
+    {
+      "bytes": 152253,
+      "path": "data/dev/p96/oproofs-s00002-r00003500-n000004-0000-b5ce3285aaa1e418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b5ce3285aaa1e418f6a1ae616860678af1275ae896fbe2de46e4050ba9b676c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003504-n000004.json b/manifests/batches/oproofs/s00002-r00003504-n000004.json
index f71e28ca127180dd4492dd9ab0a95177b09bb8fe..db04e2d036b31dff732df8fbdb75a4cc7a3ef9de 100644
--- a/manifests/batches/oproofs/s00002-r00003504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003504-n000004",
   "batch_fingerprint": "80fe1b9d658b34f5e26d001ced3d0dc8918afdcc3a12d90b86667a8dc3f5a38b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003504-n000004-0000-0365ec6162432353.parquet",
-      "sha256": "0365ec61624323531364d962913da736aade791e9d3f41358923bd08a35b5793",
-      "bytes": 179662,
-      "rows": 10,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003505.lean\",\"42bc7ff15309641cef1609feef518b584bf88b71ea14e5f7ff84342d2a2a4b1a\",0,\"lean_workbook_plus_23853\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003506.lean\",\"5581ed302d8ad74b238b5bfb323e240226ebcfeb86b7edc372808eaaa8805899\",0,\"lean_workbook_plus_23767\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003507.lean\",\"d874516b7137ce2cf4fbac108bce859a0e2acee5c21fda6828a705f8671ebcef\",0,\"lean_workbook_plus_23429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179662,
+      "path": "data/train/p3e/oproofs-s00002-r00003504-n000004-0000-0365ec6162432353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0365ec61624323531364d962913da736aade791e9d3f41358923bd08a35b5793"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003508-n000004.json b/manifests/batches/oproofs/s00002-r00003508-n000004.json
index 9d8a7a943954c56f825003da3c0aeac049365282..669a60db8eec971e20fbb6cd7b5a58317b1bf2b2 100644
--- a/manifests/batches/oproofs/s00002-r00003508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003508-n000004",
   "batch_fingerprint": "e954ae9e88c4cc7c889e96a2ca7bdc35caf6fffde02accc6597a99a36ab94579",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3508",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3509",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3510",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3511"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003508.lean\",\"ceac35afd2b279f217c0f5c4fdc47faa3081ddd6c7f87537c8261c89d811b5ee\",0,\"lean_workbook_plus_23810\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003509.lean\",\"8b69d48719ccbad105866109c5c3fa18e4b1fb4f1c4fe5628a8a8ddde47cbe04\",0,\"lean_workbook_plus_23855\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003510.lean\",\"f567fcfc5b99f1810a34167a937390ec64861b0c1f3a1d84ae5337d97a692b3d\",0,\"lean_workbook_plus_23471\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003511.lean\",\"ca16874564a96be94bac01b988c7c256aad3852c8c09fbd0a3718fbe121c6b8a\",0,\"lean_workbook_plus_23862\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00003508-n000004-0000-596ccc95da9af9ef.parquet",
-      "sha256": "596ccc95da9af9ef1175655e50f142cf57b466d5babbbbaa5933d055cb86ac15",
       "bytes": 148776,
+      "path": "data/train/pae/oproofs-s00002-r00003508-n000004-0000-596ccc95da9af9ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
+      "sha256": "596ccc95da9af9ef1175655e50f142cf57b466d5babbbbaa5933d055cb86ac15"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00003508-n000004-0000-bb3429520bac71b1.parquet",
-      "sha256": "bb3429520bac71b1d24bc7728560851e815fecd0603be6635f003db7c9d78aa4",
       "bytes": 49145,
+      "path": "data/dev/pae/oproofs-s00002-r00003508-n000004-0000-bb3429520bac71b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
+      "sha256": "bb3429520bac71b1d24bc7728560851e815fecd0603be6635f003db7c9d78aa4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00003508-n000004-0000-1c56f6f8568e5cd4.parquet",
-      "sha256": "1c56f6f8568e5cd43031ef01aafa1915524668025373d2cd908f0d9a76167334",
       "bytes": 49523,
+      "path": "data/internal_test/pae/oproofs-s00002-r00003508-n000004-0000-1c56f6f8568e5cd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
+      "sha256": "1c56f6f8568e5cd43031ef01aafa1915524668025373d2cd908f0d9a76167334"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3508",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3509",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3510",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3511"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003508.lean\",\"ceac35afd2b279f217c0f5c4fdc47faa3081ddd6c7f87537c8261c89d811b5ee\",0,\"lean_workbook_plus_23810\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003509.lean\",\"8b69d48719ccbad105866109c5c3fa18e4b1fb4f1c4fe5628a8a8ddde47cbe04\",0,\"lean_workbook_plus_23855\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003510.lean\",\"f567fcfc5b99f1810a34167a937390ec64861b0c1f3a1d84ae5337d97a692b3d\",0,\"lean_workbook_plus_23471\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003511.lean\",\"ca16874564a96be94bac01b988c7c256aad3852c8c09fbd0a3718fbe121c6b8a\",0,\"lean_workbook_plus_23862\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003512-n000004.json b/manifests/batches/oproofs/s00002-r00003512-n000004.json
index 87e6925280425acec9e4533f5ecb9f4a38e01411..f4e3c6e17d220572a24ac596ff3c1ef55cba3456 100644
--- a/manifests/batches/oproofs/s00002-r00003512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003512-n000004",
   "batch_fingerprint": "4cf7c3fdf3ec424e8a5fb9fbef3770d42a92efb6b054e2ec3d7489071a7ed48f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003512-n000004-0000-42cbd1860b839c70.parquet",
-      "sha256": "42cbd1860b839c70f8f5091efc2bd05c802096606a1f2a26e76b76cb5c75e90e",
-      "bytes": 398371,
-      "rows": 15,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003512-n000004-0000-ebd424d4d1e487a0.parquet",
-      "sha256": "ebd424d4d1e487a070c24ebc298e3af6dc30ca569c5c236fc3729b99053ad57c",
-      "bytes": 159838,
-      "rows": 12,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003513.lean\",\"b493c2f58ab2f6dcf701c3219c1e62d4f66d2965ec315b241232db47f826fea1\",0,\"lean_workbook_plus_23615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003514.lean\",\"e6fe9a89fcecfee34fbaebaf578d2a0902531e7f9e0521125e61c314106c6e19\",0,\"lean_workbook_plus_23539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003515.lean\",\"8317a9673a6ef81112835f5fd8b71ee74c4f93c0fa9c7895e7a0be4976f2bf19\",0,\"lean_workbook_plus_22855\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398371,
+      "path": "data/train/ped/oproofs-s00002-r00003512-n000004-0000-42cbd1860b839c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "42cbd1860b839c70f8f5091efc2bd05c802096606a1f2a26e76b76cb5c75e90e"
+    },
+    {
+      "bytes": 159838,
+      "path": "data/internal_test/ped/oproofs-s00002-r00003512-n000004-0000-ebd424d4d1e487a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ebd424d4d1e487a070c24ebc298e3af6dc30ca569c5c236fc3729b99053ad57c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003516-n000004.json b/manifests/batches/oproofs/s00002-r00003516-n000004.json
index 1f626520658d42114bc1bd69573325b918a2eee5..8e5841d4349090407e31f42b5b8c8320e838fc6b 100644
--- a/manifests/batches/oproofs/s00002-r00003516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003516-n000004",
   "batch_fingerprint": "45c67a9ab22a579635c7cc2e59d7e19096fcba05b33a19797c43d0e506fdc1ed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003516-n000004-0000-feeccc5c904bcfa3.parquet",
-      "sha256": "feeccc5c904bcfa34536e1fbad80514aaaccdc884e5848fb7cc41ef117fdc1c2",
-      "bytes": 73738,
-      "rows": 9,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003516-n000004-0000-1a6e3750cebb2d37.parquet",
-      "sha256": "1a6e3750cebb2d37ec18ccd8837ba563c97cd56dc5d8cbb169440d28f5217979",
-      "bytes": 147858,
-      "rows": 6,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3517",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003517.lean\",\"90d18afe26830ac9ec28e4d9c5a48b4009f819cba473c237b4a1d9dc9b4574ed\",0,\"lean_workbook_plus_23895\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003518.lean\",\"0c2cdfc54e078eb502987954a1d7c519f131252ff13fb1848b992475c09eeded\",0,\"lean_workbook_plus_23891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003519.lean\",\"a80102f30c2b3dc65df49709ccfbcb22ba482c3f8667f09fa51999b0385afee2\",0,\"lean_workbook_plus_23420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73738,
+      "path": "data/train/p12/oproofs-s00002-r00003516-n000004-0000-feeccc5c904bcfa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "feeccc5c904bcfa34536e1fbad80514aaaccdc884e5848fb7cc41ef117fdc1c2"
+    },
+    {
+      "bytes": 147858,
+      "path": "data/internal_test/p12/oproofs-s00002-r00003516-n000004-0000-1a6e3750cebb2d37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1a6e3750cebb2d37ec18ccd8837ba563c97cd56dc5d8cbb169440d28f5217979"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003520-n000004.json b/manifests/batches/oproofs/s00002-r00003520-n000004.json
index 55eca3bbe67a9eedceb421e10f9e2f57a968c4c1..2567aaf3692d11c56c8ba2408799bbf49e60f381 100644
--- a/manifests/batches/oproofs/s00002-r00003520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003520-n000004",
   "batch_fingerprint": "898c6a9f54ac49bac43d717445cdd7c9d55c40188291055424491ad896add851",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003520-n000004-0000-59e31457d86645d4.parquet",
-      "sha256": "59e31457d86645d4122e7e1b5267894073cd09064d54c02541a479d3f74fc051",
-      "bytes": 92740,
-      "rows": 10,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003520-n000004-0000-1bf6b3fc9ed8cf2f.parquet",
-      "sha256": "1bf6b3fc9ed8cf2ff122819bcc73253812ff4e9e3fb6b72283871038184b98e7",
-      "bytes": 45390,
-      "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003521.lean\",\"8c6d8f75e95eb5376d9cbfbbe02849ee87c4d98f70f0f1e92733d23e5b6839e5\",0,\"lean_workbook_plus_2394\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003522.lean\",\"56ae91b44336f940852498e7b0650a3119066dab3ddd9483e8e0624ea20059f5\",0,\"lean_workbook_plus_23063\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003523.lean\",\"48e4a9ba0d7b99a136cb26c0d241e8fbd84ce543cb17b1e0d0b1f9adaeaf9ef5\",0,\"lean_workbook_plus_2372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92740,
+      "path": "data/train/p09/oproofs-s00002-r00003520-n000004-0000-59e31457d86645d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "59e31457d86645d4122e7e1b5267894073cd09064d54c02541a479d3f74fc051"
+    },
+    {
+      "bytes": 45390,
+      "path": "data/internal_test/p09/oproofs-s00002-r00003520-n000004-0000-1bf6b3fc9ed8cf2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1bf6b3fc9ed8cf2ff122819bcc73253812ff4e9e3fb6b72283871038184b98e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003524-n000004.json b/manifests/batches/oproofs/s00002-r00003524-n000004.json
index 1670b1f4493d7bcaccbee33721b27364d5b826ff..3bc2be5cab7839be944fabcc21bcc7a176530ede 100644
--- a/manifests/batches/oproofs/s00002-r00003524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003524-n000004",
   "batch_fingerprint": "526b4db1fbb868b1b8b2746e70085758765c3ee964dd0d21479bc10b0edfbe8d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003524-n000004-0000-72e98917a84c1077.parquet",
-      "sha256": "72e98917a84c1077ff8afaf223bbebb9c43de045d918dd2ec3244038ed0f22ef",
-      "bytes": 426516,
-      "rows": 12,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003524-n000004-0000-b01aab8c34cb3324.parquet",
-      "sha256": "b01aab8c34cb3324165663042c9ffd23f68dcff20f3c80274e3f66b2cc477c13",
-      "bytes": 121139,
-      "rows": 4,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3525",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003525.lean\",\"5fc868b4222b5f64a22ae9c0cf8b8fa05b2daf5dfcd9650b7cd76b70680a04d6\",0,\"lean_workbook_plus_238\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003526.lean\",\"7329a5ad47185377def496cb1dfcdd0df46461d4372a2b0f5f640e1ab5b7bdf9\",0,\"lean_workbook_plus_23382\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003527.lean\",\"bd0df0ae2e936dfe4e2d56ce08dfe8c6c49633aff2efe890f8b78076cf836884\",0,\"lean_workbook_plus_23071\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426516,
+      "path": "data/train/pf4/oproofs-s00002-r00003524-n000004-0000-72e98917a84c1077.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "72e98917a84c1077ff8afaf223bbebb9c43de045d918dd2ec3244038ed0f22ef"
+    },
+    {
+      "bytes": 121139,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00003524-n000004-0000-b01aab8c34cb3324.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b01aab8c34cb3324165663042c9ffd23f68dcff20f3c80274e3f66b2cc477c13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003528-n000004.json b/manifests/batches/oproofs/s00002-r00003528-n000004.json
index 8858f1b55fb847a7144577f4f385eab49f2996a1..38a6aad06fb6c3947816a1ac28823c071e857ffc 100644
--- a/manifests/batches/oproofs/s00002-r00003528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003528-n000004",
   "batch_fingerprint": "e8782efc940569774383d6fb104395374a08452a9a082c34142e254b5ab1e6d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003528-n000004-0000-ac3f911542cfd512.parquet",
-      "sha256": "ac3f911542cfd512b0dcd97fbb037cef4d19894ff615b45cf2f6329658bd4622",
-      "bytes": 208454,
-      "rows": 13,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003528-n000004-0000-979edf794edfe3fe.parquet",
-      "sha256": "979edf794edfe3fe864b5e0db6a153a70159385a3a7deea6cc9493417a515465",
-      "bytes": 159944,
-      "rows": 2,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003529.lean\",\"6b1f6a5f8d766b5d68e95b7bf0cdba76a7388f5807d5a4b4f47a122d9675edf0\",0,\"lean_workbook_plus_23442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003530.lean\",\"49b81315aefcfe65569965b87e7c7d110ea1fa9d7f47134e843544dec50d45fa\",0,\"lean_workbook_plus_23724\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003531.lean\",\"3a381832fb34f6365f5e5935a01ed431245c4b881d124072ca81340e1659beca\",0,\"lean_workbook_plus_23166\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208454,
+      "path": "data/train/pe7/oproofs-s00002-r00003528-n000004-0000-ac3f911542cfd512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac3f911542cfd512b0dcd97fbb037cef4d19894ff615b45cf2f6329658bd4622"
+    },
+    {
+      "bytes": 159944,
+      "path": "data/internal_test/pe7/oproofs-s00002-r00003528-n000004-0000-979edf794edfe3fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "979edf794edfe3fe864b5e0db6a153a70159385a3a7deea6cc9493417a515465"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003532-n000004.json b/manifests/batches/oproofs/s00002-r00003532-n000004.json
index 3ca36b264370d30a9d23bda3f258aadd751567fd..46790ada00596ca9423c0149c942301c1f3e906d 100644
--- a/manifests/batches/oproofs/s00002-r00003532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003532-n000004",
   "batch_fingerprint": "f686dfdeb2b9856571b910a14e0b4af33b61faeadd5f557d99b094a76774d614",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003532-n000004-0000-01b2763d6b31806b.parquet",
-      "sha256": "01b2763d6b31806bd90fabeaf6f86462bbe230097fcd80c12bb11e83c8029d62",
-      "bytes": 203953,
-      "rows": 14,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003532-n000004-0000-a2d969e65f767038.parquet",
-      "sha256": "a2d969e65f767038c2fd7b78a90a9e9ecd97da42f0571c89b38ea7af0e143afa",
-      "bytes": 69926,
-      "rows": 6,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003533.lean\",\"ecdb496104bd66bac6f0a240f9e3f71a9db102186daabc740da004802e6a30cc\",0,\"lean_workbook_plus_23968\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003534.lean\",\"ab1797eb2611bfcdf9443f8c1d02858bc2ff4778c9467393987c36169548ee21\",0,\"lean_workbook_plus_23966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003535.lean\",\"641990bc55ec234f87d3599dd30aef6f1cec8e0fef30f9ae62cf5036b845b810\",0,\"lean_workbook_plus_23688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203953,
+      "path": "data/train/p91/oproofs-s00002-r00003532-n000004-0000-01b2763d6b31806b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "01b2763d6b31806bd90fabeaf6f86462bbe230097fcd80c12bb11e83c8029d62"
+    },
+    {
+      "bytes": 69926,
+      "path": "data/internal_test/p91/oproofs-s00002-r00003532-n000004-0000-a2d969e65f767038.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a2d969e65f767038c2fd7b78a90a9e9ecd97da42f0571c89b38ea7af0e143afa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003536-n000004.json b/manifests/batches/oproofs/s00002-r00003536-n000004.json
index 306ce97ac1fe6550a00fed6a9530d1f8303d6d42..7a4117094cf792a89a9dea3567b75dad6aa29fdb 100644
--- a/manifests/batches/oproofs/s00002-r00003536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003536-n000004",
   "batch_fingerprint": "d7129b626598ae8da1d60f1c4a4258191393625bbc6497279873e46b981689d7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003536-n000004-0000-1cae9a9713300017.parquet",
-      "sha256": "1cae9a9713300017c38ff70977354e23c3737629c2016c2152f09a08933dd26f",
-      "bytes": 137671,
-      "rows": 12,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003536-n000004-0000-6e55866f1d8131fb.parquet",
-      "sha256": "6e55866f1d8131fb522123ea0ff8eb4e6d036d010e52f3000efb369476de5b6a",
-      "bytes": 106638,
-      "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003537.lean\",\"51bc60ce3b3a969376e2730858d497eb96854983ded85041f871ee70825347cf\",0,\"lean_workbook_plus_23934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003538.lean\",\"206db1714bb1e6addedb1f9cf11157066322d7125bcf5fd4d222fad676994220\",0,\"lean_workbook_plus_23604\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003539.lean\",\"24a82c42727e0a79d35a38c00cb96b9226c5087876a62ab2caf9dc841ca8b854\",0,\"lean_workbook_plus_23167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137671,
+      "path": "data/train/p43/oproofs-s00002-r00003536-n000004-0000-1cae9a9713300017.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1cae9a9713300017c38ff70977354e23c3737629c2016c2152f09a08933dd26f"
+    },
+    {
+      "bytes": 106638,
+      "path": "data/internal_test/p43/oproofs-s00002-r00003536-n000004-0000-6e55866f1d8131fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6e55866f1d8131fb522123ea0ff8eb4e6d036d010e52f3000efb369476de5b6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003540-n000004.json b/manifests/batches/oproofs/s00002-r00003540-n000004.json
index 0080c264dc66f9e0cbe9f2c343f40b671d0ab247..c1fde3e1a67887f6e0e13fe8e9374487c43ee099 100644
--- a/manifests/batches/oproofs/s00002-r00003540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003540-n000004",
   "batch_fingerprint": "4ef3e791c43862d4503cf9d6c394156225f6f4a4e84817d218d2f5759724fc65",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003540-n000004-0000-d9c933278efe9acc.parquet",
-      "sha256": "d9c933278efe9acc975c2e43e4ada0547bd2200931201978e78243dcee249af3",
-      "bytes": 57033,
-      "rows": 11,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003540-n000004-0000-c018226a2950b367.parquet",
-      "sha256": "c018226a2950b36792f01b1c9e1c03cddb6539e2d71b56d924bfabcfb5723f57",
-      "bytes": 35253,
-      "rows": 2,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003541.lean\",\"e295dfbb9d57fc61f258c805ad9dcd540abd9dd5f5aa63370400a4e2069f9d50\",0,\"lean_workbook_plus_24076\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003542.lean\",\"bcc2314bb770396375f34fe2eae6589269ee420c5434ca023fe9f28c2bbc0c30\",0,\"lean_workbook_plus_24098\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003543.lean\",\"2a08ac1bcff68e243d72d3887d9bc8d57e2c445549a368efe2cf27dc14238177\",0,\"lean_workbook_plus_24004\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57033,
+      "path": "data/train/p52/oproofs-s00002-r00003540-n000004-0000-d9c933278efe9acc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d9c933278efe9acc975c2e43e4ada0547bd2200931201978e78243dcee249af3"
+    },
+    {
+      "bytes": 35253,
+      "path": "data/dev/p52/oproofs-s00002-r00003540-n000004-0000-c018226a2950b367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c018226a2950b36792f01b1c9e1c03cddb6539e2d71b56d924bfabcfb5723f57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003544-n000004.json b/manifests/batches/oproofs/s00002-r00003544-n000004.json
index ea88cd959dd7ce49749dc7c965a118076a2fc7ed..2662a8ba5b72fa987f6f0dcfc8992e222cff6af3 100644
--- a/manifests/batches/oproofs/s00002-r00003544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003544-n000004",
   "batch_fingerprint": "c3a3a9d8f7bc9051c3a7532fe07f806a39f5313abdd7e02fd81abbf07b0f77f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003544-n000004-0000-699a4888c239e73e.parquet",
-      "sha256": "699a4888c239e73e2e9c0209435dfac7a7a98975d788e20418a72895627198e4",
-      "bytes": 154829,
-      "rows": 15,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003545.lean\",\"227a52626a09ec71f253abf31e91c4c6520a3fb5f714aa4a954fb26089c9e108\",0,\"lean_workbook_plus_2381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003546.lean\",\"4f8825440a9182bf985bac063ebea24149ed0da47183a38228119202a84e239a\",0,\"lean_workbook_plus_24062\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003547.lean\",\"65a78705c582206388cc538c4294754f269f4c74127462811eae2bf89c4a9f84\",0,\"lean_workbook_plus_24077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154829,
+      "path": "data/train/p53/oproofs-s00002-r00003544-n000004-0000-699a4888c239e73e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "699a4888c239e73e2e9c0209435dfac7a7a98975d788e20418a72895627198e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003548-n000004.json b/manifests/batches/oproofs/s00002-r00003548-n000004.json
index fae1d617e18d8b99fb75a25013312c14d9cc527d..29eb54844e53d4bb69a8d075c481898325c282fa 100644
--- a/manifests/batches/oproofs/s00002-r00003548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003548-n000004",
   "batch_fingerprint": "ee4eaafd9832dff1889f3d4e548d8e903295628751c3e99903c94b49d4222428",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003548-n000004-0000-e332032428e8d760.parquet",
-      "sha256": "e332032428e8d760f63117a780bd0a605faa1a81b3d111aac841e6b3b9559d35",
-      "bytes": 252041,
-      "rows": 18,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003549.lean\",\"4738792982442023244b4845daf0c4872aaf0d1e66add53fece0fc3d703f70d3\",0,\"lean_workbook_plus_24120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003550.lean\",\"ef6a848d34e7577f3304f4f7c38c0a76679976b72a2cb4f8f16333dabd145b2e\",0,\"lean_workbook_plus_23499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003551.lean\",\"628a245c347c4935fc93b7e2fe095453458bc9e6ea580e9b4bae1ce0d4392b92\",0,\"lean_workbook_plus_23089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252041,
+      "path": "data/train/p19/oproofs-s00002-r00003548-n000004-0000-e332032428e8d760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e332032428e8d760f63117a780bd0a605faa1a81b3d111aac841e6b3b9559d35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003552-n000004.json b/manifests/batches/oproofs/s00002-r00003552-n000004.json
index 3a2755c222f1be2c2e56095915fedca710aa9105..e89380161e0639f297839aad8eb27672c216402c 100644
--- a/manifests/batches/oproofs/s00002-r00003552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003552-n000004",
   "batch_fingerprint": "6fcd0caa7c4b8ef4c6dd3489cc8f17bd678e8a93506f9ac0f44b068adccadf18",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003552-n000004-0000-9b7b41e4e3ada6ce.parquet",
-      "sha256": "9b7b41e4e3ada6ce033f208e3a2740addcee0faba13b214f29648c4c01b35449",
-      "bytes": 116996,
-      "rows": 8,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003552-n000004-0000-bc41542e637d3d23.parquet",
-      "sha256": "bc41542e637d3d233a00232859649ba9475b71488133d66bdbaec64fb5d33761",
-      "bytes": 51388,
-      "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003553.lean\",\"f6c041cacd66ee542c293a9b51aabdd425557dd73b311bba592b24d64b834e69\",0,\"lean_workbook_plus_24142\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003554.lean\",\"21cca4089a244d923eaad7a5bb031cf21a37d4af91ba633a8988d5122f511e95\",0,\"lean_workbook_plus_23373\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003555.lean\",\"c1b6a55c64edb0f31349162319cb72bf0296d836beb297a55feb5413a1b44a45\",0,\"lean_workbook_plus_24127\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116996,
+      "path": "data/train/p3d/oproofs-s00002-r00003552-n000004-0000-9b7b41e4e3ada6ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9b7b41e4e3ada6ce033f208e3a2740addcee0faba13b214f29648c4c01b35449"
+    },
+    {
+      "bytes": 51388,
+      "path": "data/dev/p3d/oproofs-s00002-r00003552-n000004-0000-bc41542e637d3d23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bc41542e637d3d233a00232859649ba9475b71488133d66bdbaec64fb5d33761"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003556-n000004.json b/manifests/batches/oproofs/s00002-r00003556-n000004.json
index c0a46bdb92a203a968c9660ed53b2ff956a15273..1f0ca59f53d2eb919747c3b525b59b12dd462684 100644
--- a/manifests/batches/oproofs/s00002-r00003556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003556-n000004",
   "batch_fingerprint": "b89b4326952619fee8957de626277b7d172531dacd9fbee4cfc3d6cf27298857",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003556-n000004-0000-7a2b4a471d24099a.parquet",
-      "sha256": "7a2b4a471d24099a11adec28f714e432a18242be7c26c0330b783cbc044703fe",
-      "bytes": 219747,
-      "rows": 19,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003557.lean\",\"8d2fe70ede91b53ad5ad905ba279bd8f0949e50bf0f22dcc15dc8a518b111c96\",0,\"lean_workbook_plus_23381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003558.lean\",\"635c529475c3f468dbb618d32cc71d644be7e9a0ba7ecb10125da7dd90f95a95\",0,\"lean_workbook_plus_24020\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003559.lean\",\"d17aacd39fd1bcd3687df3b867629781d8e776d3160e74ec6ad65e4e065cd5f2\",0,\"lean_workbook_plus_24186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219747,
+      "path": "data/train/pad/oproofs-s00002-r00003556-n000004-0000-7a2b4a471d24099a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7a2b4a471d24099a11adec28f714e432a18242be7c26c0330b783cbc044703fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003560-n000004.json b/manifests/batches/oproofs/s00002-r00003560-n000004.json
index cac24ea671650cd621c273bf88ce6b8dac2f944e..7ea6fea8de1c0d6f395bb7bf9856a3c3b5972594 100644
--- a/manifests/batches/oproofs/s00002-r00003560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003560-n000004",
   "batch_fingerprint": "cdc136bbeebff6a7de4bff28ab41cad0034f4e68648be182f145237333be482c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003560-n000004-0000-71ac5716d90c57f1.parquet",
-      "sha256": "71ac5716d90c57f1768ae5d2fcf5ea42baa1a1cab00908bdab6184e07dd02ac8",
-      "bytes": 222052,
-      "rows": 14,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3561",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003561.lean\",\"bf9cdbed33b0e7629ff020dc3ab0a63c5d6d2a7dede920862ef4ea321a519d87\",0,\"lean_workbook_plus_24212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003562.lean\",\"f19229d02d074fd3b4c9c59b98c027dac8c49230e330e4a41cf1d5c20c8e9b8e\",0,\"lean_workbook_plus_24239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003563.lean\",\"43589eefef2bdb2e7f657b22dd4237f1d8bc64ece061b8e65e681a2547e2b6be\",0,\"lean_workbook_plus_24238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222052,
+      "path": "data/train/p33/oproofs-s00002-r00003560-n000004-0000-71ac5716d90c57f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "71ac5716d90c57f1768ae5d2fcf5ea42baa1a1cab00908bdab6184e07dd02ac8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003564-n000004.json b/manifests/batches/oproofs/s00002-r00003564-n000004.json
index 8cbf903f55860ad4c7be0277562d8486a2cfe454..0c206b79f49117b7939639f154cb4ecd6b11ac22 100644
--- a/manifests/batches/oproofs/s00002-r00003564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003564-n000004",
   "batch_fingerprint": "e98b881422d6bd7adf04ee8c29d9b3da22ddfb7ddff7389cef5deb9d681a3acd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003564-n000004-0000-e9bb537c263d1ab1.parquet",
-      "sha256": "e9bb537c263d1ab19c4ff5ecb261074124ef277e29e6007c37ff9fce43d290b5",
-      "bytes": 421444,
-      "rows": 18,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003564-n000004-0000-06d39df498fdc94b.parquet",
-      "sha256": "06d39df498fdc94b0b0db88e65ad5848430b54b3c6ab196a3d341cd7ba4d48fc",
-      "bytes": 39290,
-      "rows": 3,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003565.lean\",\"064efb70eb19ec40358fe2b882682e04ad0ba48f5d96bf3a54cc5d600a2b094a\",0,\"lean_workbook_plus_24198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003566.lean\",\"9a72006a4e6a50a4dfac7ae6c397bbb78a836c9ad1361b9d1f86e1753d873284\",0,\"lean_workbook_plus_23339\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003567.lean\",\"e1189b2ef8b729406d2716cbc3b8d5b8ea0a3171e9a333b5db1a3fff49cbb5ba\",0,\"lean_workbook_plus_2424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 421444,
+      "path": "data/train/p24/oproofs-s00002-r00003564-n000004-0000-e9bb537c263d1ab1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e9bb537c263d1ab19c4ff5ecb261074124ef277e29e6007c37ff9fce43d290b5"
+    },
+    {
+      "bytes": 39290,
+      "path": "data/internal_test/p24/oproofs-s00002-r00003564-n000004-0000-06d39df498fdc94b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "06d39df498fdc94b0b0db88e65ad5848430b54b3c6ab196a3d341cd7ba4d48fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003568-n000004.json b/manifests/batches/oproofs/s00002-r00003568-n000004.json
index d0c62fbce9bef3113e909be808cd16a1707d7399..c267029327f0d6ba6815fb83635f914621dce874 100644
--- a/manifests/batches/oproofs/s00002-r00003568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003568-n000004",
   "batch_fingerprint": "5e1e638bf469ced6036d73181c9aa85ed9caf3f40090fad5147de076ceeeb95e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003568-n000004-0000-0237dce7f6177279.parquet",
-      "sha256": "0237dce7f61772795cbc26ef9829953e13fa5fd61bfb6a784c9df5e5265c7ad4",
-      "bytes": 186078,
-      "rows": 13,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003569.lean\",\"10bd3bfaa7f266f89c865c9e43b6397c319b72ed4c39685af46e0c20e9e329a1\",0,\"lean_workbook_plus_23955\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003570.lean\",\"15695659579d52ec4079035091a25bf7552e41f9ddd0fb487720edb7e7276e7f\",0,\"lean_workbook_plus_24287\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003571.lean\",\"12271f25d14f4d21ebf9304bff641fb5acaf410e144d1fbc46c42a176bd69e3b\",0,\"lean_workbook_plus_24171\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186078,
+      "path": "data/train/p64/oproofs-s00002-r00003568-n000004-0000-0237dce7f6177279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0237dce7f61772795cbc26ef9829953e13fa5fd61bfb6a784c9df5e5265c7ad4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003572-n000004.json b/manifests/batches/oproofs/s00002-r00003572-n000004.json
index 651aba3c4098196c01a84ddf1e4a9d17698a5cfc..f6cffbe7930070888056bf6e3e92ad72774530cc 100644
--- a/manifests/batches/oproofs/s00002-r00003572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003572-n000004",
   "batch_fingerprint": "0ed1a2d89f4d420bfa6d395e3ec7dc156e2d37605318089ded5f5cd7953ada00",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003572-n000004-0000-1dde51dbc5975bb2.parquet",
-      "sha256": "1dde51dbc5975bb2fc9fc2a0e59781fb51c43ec32d4b3573622a5b8c2277061f",
-      "bytes": 347475,
-      "rows": 27,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003573.lean\",\"0d0bca93301772f3608551d5373144ac1ce1127265b431c81c6796bfbf484b7a\",0,\"lean_workbook_plus_24078\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003574.lean\",\"913b4b95b122134e6a5f3e3fb5c00b2f41e76268a7dc0d99ceb5219120b5612f\",0,\"lean_workbook_plus_23729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003575.lean\",\"37a0b3fa8235f9c854ce69ba576ccfc0df8ddfb8546ac898080a828d927a2541\",0,\"lean_workbook_plus_23841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347475,
+      "path": "data/train/pb4/oproofs-s00002-r00003572-n000004-0000-1dde51dbc5975bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "1dde51dbc5975bb2fc9fc2a0e59781fb51c43ec32d4b3573622a5b8c2277061f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003576-n000004.json b/manifests/batches/oproofs/s00002-r00003576-n000004.json
index 8f1736a1b9f00ed6e3ef3ea9fb2ede24c4fe2afa..24ac4cb4240056a46294e20365cc204a0f777d72 100644
--- a/manifests/batches/oproofs/s00002-r00003576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003576-n000004",
   "batch_fingerprint": "b2166f6e469eca35c1536f4b9eb0b98e122f69d10321a1c62122d03e4c75a7f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003576-n000004-0000-bd52fd06c143b10e.parquet",
-      "sha256": "bd52fd06c143b10ed4eb38fa0442783969961db3415ef89e25c6a1ac150898e9",
-      "bytes": 334819,
-      "rows": 16,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003577.lean\",\"a18105f275e68551cfab2e804ec124161fbbe59b800b358bedd8503cd2a1b4d5\",0,\"lean_workbook_plus_24272\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003578.lean\",\"4b1d3cd8ffbb91d141f074c2776f25ae36f58c2fc5e3350ac8da5ce007067e8f\",0,\"lean_workbook_plus_24260\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003579.lean\",\"15b5a21415f0fdd0fe526df5570f4b249416f86fd84468a4802748638a01c8ed\",0,\"lean_workbook_plus_23970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334819,
+      "path": "data/train/pcd/oproofs-s00002-r00003576-n000004-0000-bd52fd06c143b10e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bd52fd06c143b10ed4eb38fa0442783969961db3415ef89e25c6a1ac150898e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003580-n000004.json b/manifests/batches/oproofs/s00002-r00003580-n000004.json
index 7a7bdc992552773c738bbf386081d4f2ddfbbd80..37b467069676dfc3f7523893f9f97d29ffae1621 100644
--- a/manifests/batches/oproofs/s00002-r00003580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003580-n000004",
   "batch_fingerprint": "9ba0a0fccd54222b44a424a47ab44efe1bef7496bbe58fdee9850a9a83747933",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003580-n000004-0000-675fec8c2b5b65a7.parquet",
-      "sha256": "675fec8c2b5b65a77b03303a0fbc840fc4696ec5e7dac0b54bf226be71bf9eab",
-      "bytes": 75677,
-      "rows": 16,
-      "revision": "291faa38bbebbe6c7289d5b43e3e259c0f9dd177"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3581",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003581.lean\",\"2916c5c1fb49827a324491f3787094e0dfccaae982de760cbe8f423534e2a7e1\",0,\"lean_workbook_plus_24332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003582.lean\",\"c54a5841259a09a8e1b92ec3d94ff1bb73bb6e8aef66e20607b3ffe6b712bb83\",0,\"lean_workbook_plus_24356\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003583.lean\",\"398eb1a9bc8a63dffbf3959380aa6110d092e7e23b5380b0e5b1f5a13f5501c6\",0,\"lean_workbook_plus_24347\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75677,
+      "path": "data/train/p1f/oproofs-s00002-r00003580-n000004-0000-675fec8c2b5b65a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "675fec8c2b5b65a77b03303a0fbc840fc4696ec5e7dac0b54bf226be71bf9eab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003584-n000004.json b/manifests/batches/oproofs/s00002-r00003584-n000004.json
index 9721dc14261f1235ef7d3b6a0752a3f8daa3c94e..af129016d176ff31fbbb998494704b1ea28badea 100644
--- a/manifests/batches/oproofs/s00002-r00003584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003584-n000004",
   "batch_fingerprint": "f59aa15fc551ec4c94b9d318b01dfc35481af57c5056b11d89798b3f6d415d7f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003584-n000004-0000-d7edf873a0154653.parquet",
-      "sha256": "d7edf873a015465371108aafea6d9e99bddcd1b98b42e1568c92a30f55130aff",
-      "bytes": 106391,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003584-n000004-0000-8e78ed5b2ec8f338.parquet",
-      "sha256": "8e78ed5b2ec8f338168d7a843cbff1dd2c1d0ce7aeb51d28c0cda8c566df2ec3",
-      "bytes": 35389,
-      "rows": 2,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3585",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003585.lean\",\"d6fbad3c9cf47cd21082a6085e3fb74a20c61489dc388ca8a6f555ab70eab945\",0,\"lean_workbook_plus_24377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003586.lean\",\"e74d2c725b568b63a8a4a37ee3a4a4dc7d4cb9b8f12c6408aae2646c260ded32\",0,\"lean_workbook_plus_24367\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003587.lean\",\"3bc2bd440642786b95a97cb8b61e14fc2e8448fdd23af354ad211990fc5e2d61\",0,\"lean_workbook_plus_24221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106391,
+      "path": "data/train/pb7/oproofs-s00002-r00003584-n000004-0000-d7edf873a0154653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d7edf873a015465371108aafea6d9e99bddcd1b98b42e1568c92a30f55130aff"
+    },
+    {
+      "bytes": 35389,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00003584-n000004-0000-8e78ed5b2ec8f338.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e78ed5b2ec8f338168d7a843cbff1dd2c1d0ce7aeb51d28c0cda8c566df2ec3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003588-n000004.json b/manifests/batches/oproofs/s00002-r00003588-n000004.json
index 83c41738ae4e7b0917298f1208c2f932b43b112f..7030c527f56322627f3aa607455688cc14ed9e5c 100644
--- a/manifests/batches/oproofs/s00002-r00003588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003588-n000004",
   "batch_fingerprint": "fd3802b203682675084cc45be949868cb583e3be65922de1ca5e74b30d979068",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003588-n000004-0000-29444b72263c65e5.parquet",
-      "sha256": "29444b72263c65e5be1a61591c349ca4d1720871643de2042ba4a4aabefd5d87",
-      "bytes": 133552,
-      "rows": 13,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003589.lean\",\"85fb1a0e8ff68652877d8fcefd4a59b4962c5aab51350c961e71306226100116\",0,\"lean_workbook_plus_24214\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003590.lean\",\"1a72bab0b9df0d74a638c7744021742d49dbeb47b248b5bd92ddfb306e31dfe6\",0,\"lean_workbook_plus_24398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003591.lean\",\"11c019b80cc0298f14cf4fd4ef6bd31db97cff9d6425bd2306834d9b1b258687\",0,\"lean_workbook_plus_24291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133552,
+      "path": "data/train/p4c/oproofs-s00002-r00003588-n000004-0000-29444b72263c65e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "29444b72263c65e5be1a61591c349ca4d1720871643de2042ba4a4aabefd5d87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003592-n000004.json b/manifests/batches/oproofs/s00002-r00003592-n000004.json
index 868a2b684fab02ee5f8db55a3d81dcf86c915ee0..33a229da8f4bc8e7131df5c4f0278eed0efd34a9 100644
--- a/manifests/batches/oproofs/s00002-r00003592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003592-n000004",
   "batch_fingerprint": "0914e80bd64aaa97c022f6eb9f8ea1761979d16273ddf8e9b201e79196dadeb7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003592-n000004-0000-ac7f51cefa6468ad.parquet",
-      "sha256": "ac7f51cefa6468ad8525e5790be8cd4abebf3bcaf1d5d5bb8d1f67aba827dd7b",
-      "bytes": 196007,
-      "rows": 13,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003593.lean\",\"c84ee554d383337298b9a5a575fc10b0cb6540fe3279ea9f2041798ed86c80e8\",0,\"lean_workbook_plus_24382\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003594.lean\",\"3469433a0a640fbb58275ea1d565e2f3346ef6b8911373cf70953196c8fb53c9\",0,\"lean_workbook_plus_2420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003595.lean\",\"78d6be96a2ac054c9c60b22216fef110559af80c04e7ad452f182d4a763ed5c1\",0,\"lean_workbook_plus_24359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196007,
+      "path": "data/train/pb1/oproofs-s00002-r00003592-n000004-0000-ac7f51cefa6468ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac7f51cefa6468ad8525e5790be8cd4abebf3bcaf1d5d5bb8d1f67aba827dd7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003596-n000004.json b/manifests/batches/oproofs/s00002-r00003596-n000004.json
index 34561b0988c3a719f27eeb902d3c8bb79ddcdc1e..c633bf910bc683a50f8153d4fc9df6ab15da88ac 100644
--- a/manifests/batches/oproofs/s00002-r00003596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003596-n000004",
   "batch_fingerprint": "a2b5c782fbc98eccb7afe151987792591664b1d099360648d16cafe34fce791b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003596-n000004-0000-6b0a2580f474f34a.parquet",
-      "sha256": "6b0a2580f474f34a9b9ee4379f43e523b0280607720d9783ed3d95b14430935e",
-      "bytes": 126758,
-      "rows": 10,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003597.lean\",\"bb1c33ea0720930f099fe66cd423de616516d2226dc1213809eea83c2e9fbe5c\",0,\"lean_workbook_plus_24396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003598.lean\",\"bc759c93e2f37124f91a1f6c0df56f4911449396fc2756ced794ad99d6ad7b51\",0,\"lean_workbook_plus_24436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003599.lean\",\"71882ff63142637521672e383673ff0d19d9de2b1d3ebc515c15d47f23c07ca1\",0,\"lean_workbook_plus_23233\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126758,
+      "path": "data/train/pa9/oproofs-s00002-r00003596-n000004-0000-6b0a2580f474f34a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6b0a2580f474f34a9b9ee4379f43e523b0280607720d9783ed3d95b14430935e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003600-n000004.json b/manifests/batches/oproofs/s00002-r00003600-n000004.json
index 9c60937ba5c9f8d8de55368b809f4df93d97bb4a..7c2b25c85522ff866754158ff6ce1269455d5bd3 100644
--- a/manifests/batches/oproofs/s00002-r00003600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003600-n000004",
   "batch_fingerprint": "0ba382e17f8e5a673f019330b1d4efac622cc34913eade6d76b1d82356bc8adb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003600-n000004-0000-535cdc3471e5990e.parquet",
-      "sha256": "535cdc3471e5990e8b37642e0a0fcccc3d72af7c560a707a8f18dc5089cdaa7f",
-      "bytes": 320053,
-      "rows": 17,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003600-n000004-0000-7347371d4191802e.parquet",
-      "sha256": "7347371d4191802ea31b45b2d05709e06c3aa52390c940d75935545995185dfb",
-      "bytes": 129068,
-      "rows": 7,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003601.lean\",\"f399f0febbc293e3598b5b0977af25d9608d0261af4e419e98c84bb735701708\",0,\"lean_workbook_plus_23848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003602.lean\",\"b872cbd7ce3f7a75b8cbd1031707734f1f1fb27cacd2ef2c9e66315445c549d0\",0,\"lean_workbook_plus_2428\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003603.lean\",\"f8eadbbb387739773d6f0459fc453ad60b7ce3097358441010c503e6e64be296\",0,\"lean_workbook_plus_244\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320053,
+      "path": "data/train/p9a/oproofs-s00002-r00003600-n000004-0000-535cdc3471e5990e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "535cdc3471e5990e8b37642e0a0fcccc3d72af7c560a707a8f18dc5089cdaa7f"
+    },
+    {
+      "bytes": 129068,
+      "path": "data/dev/p9a/oproofs-s00002-r00003600-n000004-0000-7347371d4191802e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7347371d4191802ea31b45b2d05709e06c3aa52390c940d75935545995185dfb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003604-n000004.json b/manifests/batches/oproofs/s00002-r00003604-n000004.json
index 1a937aa4886c92732da85c1e658e1a03d42e5f66..0d8d8c99f29b88a01733d43e456af858f84c49af 100644
--- a/manifests/batches/oproofs/s00002-r00003604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003604-n000004",
   "batch_fingerprint": "0f72ba2d6d030fee2b06335d569ba58ae9f8990c8e1f70af864fc78b9056a8b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003604-n000004-0000-771d53af727eabac.parquet",
-      "sha256": "771d53af727eabacd40fffe6e366f313f4a2ff1f60b26aa4700864cdc2147ff0",
-      "bytes": 104623,
-      "rows": 12,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003604-n000004-0000-4e4551eed767b606.parquet",
-      "sha256": "4e4551eed767b606e456946be726944f25f41bcfd85465e5936936bf7912957c",
-      "bytes": 357437,
-      "rows": 8,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003605.lean\",\"99f720d8197a86471db115d5e0282a743a8485a012f542206715cf1439892b77\",0,\"lean_workbook_plus_24286\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003606.lean\",\"82b7da8c416c15fc3d1245c5e0dbf15c08289f38865dac2b8362b3ffa4202b2f\",0,\"lean_workbook_plus_22883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003607.lean\",\"1bfaab5b8192aa054b56584ff4da5db2bf477e11e7a4771c4fdb7249e2464e40\",0,\"lean_workbook_plus_24513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104623,
+      "path": "data/train/p79/oproofs-s00002-r00003604-n000004-0000-771d53af727eabac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "771d53af727eabacd40fffe6e366f313f4a2ff1f60b26aa4700864cdc2147ff0"
+    },
+    {
+      "bytes": 357437,
+      "path": "data/dev/p79/oproofs-s00002-r00003604-n000004-0000-4e4551eed767b606.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4e4551eed767b606e456946be726944f25f41bcfd85465e5936936bf7912957c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003608-n000004.json b/manifests/batches/oproofs/s00002-r00003608-n000004.json
index 498c10999bfeaec85be2689a24543c517bd00dbb..039b88da7ce1dc782e5d2280d72fe01613ddca96 100644
--- a/manifests/batches/oproofs/s00002-r00003608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003608-n000004",
   "batch_fingerprint": "d2d8e007dade9f4617013123b60272cc7e4393ca2861a576a32a2e9c97937f47",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003608-n000004-0000-c9136abf2fb64e2b.parquet",
-      "sha256": "c9136abf2fb64e2b9ea48923827f9260a16658d730c5badf4f687d124ed10d36",
-      "bytes": 165499,
-      "rows": 26,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003609.lean\",\"c73ddf83ec6db7facff97f35307c73ca1c00baefb1d7c674514226e9f90fa37c\",0,\"lean_workbook_plus_2425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003610.lean\",\"cfafd3749003153f7b3132f90da9c87c228eb31ef17ca2710f6369b0021ed065\",0,\"lean_workbook_plus_24452\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003611.lean\",\"f6d7c140309ec17c8966b394f4f7b2c8c86de6c560bca849885d34feeae38b01\",0,\"lean_workbook_plus_24391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165499,
+      "path": "data/train/p06/oproofs-s00002-r00003608-n000004-0000-c9136abf2fb64e2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c9136abf2fb64e2b9ea48923827f9260a16658d730c5badf4f687d124ed10d36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003612-n000004.json b/manifests/batches/oproofs/s00002-r00003612-n000004.json
index 8a1e1898ad8b595564f651d874df7b1b894cbe40..36287cf3fa22752f50d17ced115ed169f3937955 100644
--- a/manifests/batches/oproofs/s00002-r00003612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003612-n000004",
   "batch_fingerprint": "bed6b153cdb82544ea75b6e2a08b9a2a13465d974f9a1d1374dc5586119dd018",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003612-n000004-0000-3103e317b2761c8a.parquet",
-      "sha256": "3103e317b2761c8a4f572ae220adafcb7fd533ff83627a0ca40689dbdaef61db",
-      "bytes": 170020,
-      "rows": 16,
-      "revision": "0d3b9e7c298916776a13aa611b855548c0ab281d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003613.lean\",\"c3a3b5275795f5955e444ce6a679d17fa0f49cfc37556e3bd9a3793dd09a86f3\",0,\"lean_workbook_plus_24435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003614.lean\",\"05fe7f9f445020bd3fc2d55a0f6c7b6eaf37439e46195ba2cd2e6b7e7423ebfe\",0,\"lean_workbook_plus_241\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003615.lean\",\"2e3a1685c09cfc804d2a912d61ccd851d79456398a18b0fc636f45d63e91d06e\",0,\"lean_workbook_plus_2356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170020,
+      "path": "data/train/pef/oproofs-s00002-r00003612-n000004-0000-3103e317b2761c8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3103e317b2761c8a4f572ae220adafcb7fd533ff83627a0ca40689dbdaef61db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003616-n000004.json b/manifests/batches/oproofs/s00002-r00003616-n000004.json
index d6b695887d231bc6e461656036c482a0594e5576..807f7034dab9ce3b8532d598e56f68a1b5adbf29 100644
--- a/manifests/batches/oproofs/s00002-r00003616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003616-n000004",
   "batch_fingerprint": "9907547980e2c67718634e6ea38c9636cc9b0e6466aadadec5afbd457dfad823",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003616-n000004-0000-29c0237abd493a71.parquet",
-      "sha256": "29c0237abd493a71fab55338d54098d045751350af383f9167d53e1e84a9de1e",
-      "bytes": 175664,
-      "rows": 13,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003617.lean\",\"1e14f30184b0f2c99f39aed4d4ac0b60d8c066fa47dc5040f423e75cd9077568\",0,\"lean_workbook_plus_24595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003618.lean\",\"0ecc9ac78845f632919deb26adf6763ae17d31c7c20d8e3e06ecf7a357e5ccea\",0,\"lean_workbook_plus_23187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003619.lean\",\"02492f4502edcdf43b6b3f9655389c1088a8465926002f9b632e592f1ab2c21d\",0,\"lean_workbook_plus_24\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175664,
+      "path": "data/train/p56/oproofs-s00002-r00003616-n000004-0000-29c0237abd493a71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "29c0237abd493a71fab55338d54098d045751350af383f9167d53e1e84a9de1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003620-n000004.json b/manifests/batches/oproofs/s00002-r00003620-n000004.json
index 9f8bb720236ba67746652873134541a475be40a2..6ce786cbf25012cc3c2d7d72ffdae6f64ef2dde3 100644
--- a/manifests/batches/oproofs/s00002-r00003620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003620-n000004",
   "batch_fingerprint": "2316b511f761992fd64b49b49041949233f07ac2c64333de93d2e24979ce13b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003620-n000004-0000-281ae1566f861f9a.parquet",
-      "sha256": "281ae1566f861f9a350db41e7d0930d4e6383c9ccdc9781f1c4becdbd766c686",
-      "bytes": 266249,
-      "rows": 17,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003621.lean\",\"51755a81e276cefc644a186bd15f4dda3037b728f44d7a1d142f6b993c6115bb\",0,\"lean_workbook_plus_23983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003622.lean\",\"9cdc4cb18b1c85b8a06b418b0c9786b929f24210aa7e74f98751d3ea3255ee78\",0,\"lean_workbook_plus_24592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003623.lean\",\"2623e61fa869e82cc04babb055a60a06169a81f47ca9945680d696edf83e5716\",0,\"lean_workbook_plus_2460\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266249,
+      "path": "data/train/pd4/oproofs-s00002-r00003620-n000004-0000-281ae1566f861f9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "281ae1566f861f9a350db41e7d0930d4e6383c9ccdc9781f1c4becdbd766c686"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003624-n000004.json b/manifests/batches/oproofs/s00002-r00003624-n000004.json
index 95c421dca9b34cab1b91c4189dacac50db40e8e8..b1a7d8be8c2f75cf4c49f0b5c8a5aca32d5d9564 100644
--- a/manifests/batches/oproofs/s00002-r00003624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003624-n000004",
   "batch_fingerprint": "eafaa595c7fc52bbe77c4234a594fab163bf6e9c65f70874e731d849318f291f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003624-n000004-0000-6501a6acec622222.parquet",
-      "sha256": "6501a6acec6222228cd0b257a69230e14416b9f02dd0dbd5385fb073fe42205c",
-      "bytes": 182491,
-      "rows": 13,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003624-n000004-0000-fd1a9a135bcbb437.parquet",
-      "sha256": "fd1a9a135bcbb4372f216b300c70ce8585cf253d5aa6fcdb6a21b28bb53c31c9",
-      "bytes": 112177,
-      "rows": 4,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003625.lean\",\"9163e65a892294b61481574e16d9b2f61a48543b753354086a0335dbd93688d4\",0,\"lean_workbook_plus_2465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003626.lean\",\"683c86b28ca289878dba2e903ad01a5a6e8f39f22ef7227ab6eef58bc0af0360\",0,\"lean_workbook_plus_24669\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003627.lean\",\"27919d4f297eafe1e3da69638a09b73267945574d7f52ad720cb75a2d9090bba\",0,\"lean_workbook_plus_24414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182491,
+      "path": "data/train/pae/oproofs-s00002-r00003624-n000004-0000-6501a6acec622222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6501a6acec6222228cd0b257a69230e14416b9f02dd0dbd5385fb073fe42205c"
+    },
+    {
+      "bytes": 112177,
+      "path": "data/dev/pae/oproofs-s00002-r00003624-n000004-0000-fd1a9a135bcbb437.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fd1a9a135bcbb4372f216b300c70ce8585cf253d5aa6fcdb6a21b28bb53c31c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003628-n000004.json b/manifests/batches/oproofs/s00002-r00003628-n000004.json
index 9673dad19ad348dde242b5b41cd3c62742615970..e08f90da793c659f9b1954a3bba6cabdb40e4186 100644
--- a/manifests/batches/oproofs/s00002-r00003628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003628-n000004",
   "batch_fingerprint": "a9792108ac875f24f850ab4e11fa90747b7ad05b8f2e107e8b48b7f2c4359db2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003628-n000004-0000-c069b932e61256a7.parquet",
-      "sha256": "c069b932e61256a7d46648f0434885aee06388e2e33f5ae56d0c5b08d32f29fa",
-      "bytes": 468603,
-      "rows": 24,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003629.lean\",\"f5ffc40187681a82706b238bf5268a6d6c7b96756472cfe3b218d8f84b2b5149\",0,\"lean_workbook_plus_24514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003630.lean\",\"d48fa406e8b390b020031e62a683f2050b89777ade2fe8f8f2396a624969a720\",0,\"lean_workbook_plus_23108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003631.lean\",\"23996ea71e0c5de78aba767ae0e60c54fce3300268d49e7d3227b05eff048938\",0,\"lean_workbook_plus_228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468603,
+      "path": "data/train/p0a/oproofs-s00002-r00003628-n000004-0000-c069b932e61256a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c069b932e61256a7d46648f0434885aee06388e2e33f5ae56d0c5b08d32f29fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003632-n000004.json b/manifests/batches/oproofs/s00002-r00003632-n000004.json
index 73312882f5e64a793413959b52be28ab8479ef48..ce770a28f1ccb01c9c3858bfe9194bde33ff2199 100644
--- a/manifests/batches/oproofs/s00002-r00003632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003632-n000004",
   "batch_fingerprint": "b51ce002f517560123d4604ee1a74e27d3559468553cc9f0fbcaa57ac6e9f4e3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003632-n000004-0000-759d08796847685c.parquet",
-      "sha256": "759d08796847685cb636b7f2cf7882c9c439968a69453263e45afd4da29e2ef1",
-      "bytes": 79725,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003632-n000004-0000-44cb9025bbf37231.parquet",
-      "sha256": "44cb9025bbf372319a83c8be6374940dba186c229f59d7b695a3a247ae784320",
-      "bytes": 34608,
-      "rows": 2,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003633.lean\",\"53245e5c7062bea0ed352f27cf6f9c9b4daccc6064461dd1231c2551dae51d9a\",0,\"lean_workbook_plus_24782\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003634.lean\",\"6646d1168ad8274eaf0fb8a9ac4aff9631499791251f25e83cbb3057766aecc5\",0,\"lean_workbook_plus_2475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003635.lean\",\"8b5c98704cec90538844d45c6a38b7db56f0aff1adfac55bbdcac67ce4eb029d\",0,\"lean_workbook_plus_24739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79725,
+      "path": "data/train/p7e/oproofs-s00002-r00003632-n000004-0000-759d08796847685c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "759d08796847685cb636b7f2cf7882c9c439968a69453263e45afd4da29e2ef1"
+    },
+    {
+      "bytes": 34608,
+      "path": "data/dev/p7e/oproofs-s00002-r00003632-n000004-0000-44cb9025bbf37231.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "44cb9025bbf372319a83c8be6374940dba186c229f59d7b695a3a247ae784320"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003636-n000004.json b/manifests/batches/oproofs/s00002-r00003636-n000004.json
index 84db1343c925d040fb37f95cdf2d95cd2d9b390d..a91e95ff142e3111aa661f378b160a21bb951ab0 100644
--- a/manifests/batches/oproofs/s00002-r00003636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003636-n000004",
   "batch_fingerprint": "9eb9af7901db54291b4b9b55e754b5dd57d070db74ff4711ca8d6da080baf79e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003636-n000004-0000-a91cfc3c8182951c.parquet",
-      "sha256": "a91cfc3c8182951c66c1e7af0b2887f9ca687b58bafd3a733dcde19fbb88e6ae",
-      "bytes": 86686,
-      "rows": 8,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003637.lean\",\"656cb22308b9f6650ffb698cab946da467b812e27dcf354011fdc35609d563b4\",0,\"lean_workbook_plus_24072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003638.lean\",\"8a81ffb28c27a7e28ab8d3694f2bcf3489546887e9a6e018df624de7ed4339c1\",0,\"lean_workbook_plus_24794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003639.lean\",\"d57faa866037c4763973b3d04ac2bc73ce8358f218a185150b25b18257cb3e8f\",0,\"lean_workbook_plus_24734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 86686,
+      "path": "data/train/p26/oproofs-s00002-r00003636-n000004-0000-a91cfc3c8182951c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a91cfc3c8182951c66c1e7af0b2887f9ca687b58bafd3a733dcde19fbb88e6ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003640-n000004.json b/manifests/batches/oproofs/s00002-r00003640-n000004.json
index dce2de26507da0ea7375e4ac7397dee4d4db2b54..ae08318b469203efedca6751a3ed6d8a21913eeb 100644
--- a/manifests/batches/oproofs/s00002-r00003640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003640-n000004",
   "batch_fingerprint": "fc1d95e758f3d22709cac5f02a18a7f6a2ef2aa0887861273ec5eca736d6ee48",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003640-n000004-0000-da92088d13390199.parquet",
-      "sha256": "da92088d13390199ffe87266c5bf6de251a8b0784a8336f041b66b5785ed23e4",
-      "bytes": 103353,
-      "rows": 18,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003641.lean\",\"ba8bb3d9fe904ec9c6107b77bf1d6dd9a2de28651d93799fa46164df79ee7188\",0,\"lean_workbook_plus_24814\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003642.lean\",\"976088e8b62109849295690a8773c95bfde3ccd19de52d45793b5e157a0f08ba\",0,\"lean_workbook_plus_24744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003643.lean\",\"756ab158e8133533fc2f507fd22c1a7763098a6ebd244284ad3ff7be7e1c264e\",0,\"lean_workbook_plus_24723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103353,
+      "path": "data/train/pa6/oproofs-s00002-r00003640-n000004-0000-da92088d13390199.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "da92088d13390199ffe87266c5bf6de251a8b0784a8336f041b66b5785ed23e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003644-n000004.json b/manifests/batches/oproofs/s00002-r00003644-n000004.json
index 2c34995c12347b129724f69a51c68ae52e1d15f4..46762e7eca7fb481b05b14c24b655aef15bbd3d5 100644
--- a/manifests/batches/oproofs/s00002-r00003644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003644-n000004",
   "batch_fingerprint": "246a39ade79105b864bdb3c14e1b4054aafbcc88ba0b04f92ff7b1a4fb57bd9f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003644-n000004-0000-29da6be8bb15f9ad.parquet",
-      "sha256": "29da6be8bb15f9ad78f82cb8af3c9a62c99eee2a8d2ffd3a46ec0fce84390ba8",
-      "bytes": 373535,
-      "rows": 18,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3645",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003645.lean\",\"ce9530c37e67a81e1cc55485c0d9d49fc776f4ee5a87b3447da1e811e2d65f3b\",0,\"lean_workbook_plus_23335\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003646.lean\",\"9453bc89cb4c006578ee0551a0c9f94ba0f0047fcb0bda1e4ce27e6505b0260e\",0,\"lean_workbook_plus_22819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003647.lean\",\"edb2f40f6977079a27627b87e158959dab0bf2cfc0cdb58446f1cb83d134dbe2\",0,\"lean_workbook_plus_24826\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373535,
+      "path": "data/train/p54/oproofs-s00002-r00003644-n000004-0000-29da6be8bb15f9ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "29da6be8bb15f9ad78f82cb8af3c9a62c99eee2a8d2ffd3a46ec0fce84390ba8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003648-n000004.json b/manifests/batches/oproofs/s00002-r00003648-n000004.json
index f62272ac39ab764adc67e25b1690ad6cc505f709..4de80cac92c2f6599b21d47cabd756f55c547abf 100644
--- a/manifests/batches/oproofs/s00002-r00003648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003648-n000004",
   "batch_fingerprint": "211602e1ea623b3bc600d41f901f142e7676becdb89038d9ceca7a5a421c2613",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003648-n000004-0000-ef9e7af7921b77a2.parquet",
-      "sha256": "ef9e7af7921b77a28fe0b10836a0b9dfd0ad627968fc7d1a50ed4476920d5f2d",
-      "bytes": 410247,
-      "rows": 15,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003648-n000004-0000-8a2c9a4e69a40827.parquet",
-      "sha256": "8a2c9a4e69a40827ed77feb9f6c7dfb38dfee43d447875e19769950dc17d416c",
-      "bytes": 53038,
-      "rows": 5,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003649.lean\",\"eb9447e2ce375e1718c6edcd8c0af8d468c2f84baa135b254629f44883b7a047\",0,\"lean_workbook_plus_24896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003650.lean\",\"2a3d1bdc3564944d3d06c8a5bf16628c7ea66ea030c006cef70c4b716db7ffb3\",0,\"lean_workbook_plus_24330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003651.lean\",\"1b257bca17c8ac8f0a77d4a3662d46e97cc6da1d14e5ed196b8d4692dbde0d4b\",0,\"lean_workbook_plus_23207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 410247,
+      "path": "data/train/p61/oproofs-s00002-r00003648-n000004-0000-ef9e7af7921b77a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ef9e7af7921b77a28fe0b10836a0b9dfd0ad627968fc7d1a50ed4476920d5f2d"
+    },
+    {
+      "bytes": 53038,
+      "path": "data/internal_test/p61/oproofs-s00002-r00003648-n000004-0000-8a2c9a4e69a40827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8a2c9a4e69a40827ed77feb9f6c7dfb38dfee43d447875e19769950dc17d416c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003652-n000004.json b/manifests/batches/oproofs/s00002-r00003652-n000004.json
index 04c48cfa376909eec28959e6e6043707aa205c2b..26b5cd2771f484f9c7cd91c086d399ebecc8f1a4 100644
--- a/manifests/batches/oproofs/s00002-r00003652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003652-n000004",
   "batch_fingerprint": "41ff1a03410397a8fa5076edee6fde82da63316cc860e223c74ce75c2609a556",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003652-n000004-0000-e02bd8acb14a340e.parquet",
-      "sha256": "e02bd8acb14a340eca05e5c93e19512845037da57e303004136895256aa60843",
-      "bytes": 371350,
-      "rows": 18,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003653.lean\",\"2d3abb885a89c76fb978adb89962fb2e3f746dc4ce01072a8bd85f7d5477299a\",0,\"lean_workbook_plus_23823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003654.lean\",\"f19670866aed98ca486b3b9336f9f17ad9c063bdbffc2e1115cf7325b24e791e\",0,\"lean_workbook_plus_24916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003655.lean\",\"42f8cccbd39209941dd5fe8467ce4accdc55b9f8251866bec7fc2e7ed8b46da6\",0,\"lean_workbook_plus_24028\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371350,
+      "path": "data/train/p4f/oproofs-s00002-r00003652-n000004-0000-e02bd8acb14a340e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e02bd8acb14a340eca05e5c93e19512845037da57e303004136895256aa60843"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003656-n000004.json b/manifests/batches/oproofs/s00002-r00003656-n000004.json
index d775127c59062f1740424cf00d0a3be6125d7a38..60f3d282fd36b56e2a069aa1b4b37a2a5131d8b1 100644
--- a/manifests/batches/oproofs/s00002-r00003656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003656-n000004",
   "batch_fingerprint": "040f2c827ecbf3b746e9fcc4df6bf7a8665de4cbcbd330c964d43f0f7e2f509d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003656-n000004-0000-2c4739ee78b460f7.parquet",
-      "sha256": "2c4739ee78b460f799a73b6221afe8140641265f648680252c06874aae6a382b",
-      "bytes": 306121,
-      "rows": 26,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003657.lean\",\"6c6f0ffea9965614bba462a293cf3aaa8daa86ffe3a66fce5792e1958e4cde04\",0,\"lean_workbook_plus_24942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003658.lean\",\"6d9a2105715dd36ec45d1b4912ab69e0b71bbd2004895043d1e02191d7b0fadd\",0,\"lean_workbook_plus_24732\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003659.lean\",\"d95c79a2de50aba27b6367eb2a1cc734eee26b40405f4e696a940c3cd453bed3\",0,\"lean_workbook_plus_23440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306121,
+      "path": "data/train/p82/oproofs-s00002-r00003656-n000004-0000-2c4739ee78b460f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2c4739ee78b460f799a73b6221afe8140641265f648680252c06874aae6a382b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003660-n000004.json b/manifests/batches/oproofs/s00002-r00003660-n000004.json
index 7ead7774565ee7618a018c4dfd3bf0d17db12232..3c2c83b74a4d2ba6eda8b072c7c116073f532e58 100644
--- a/manifests/batches/oproofs/s00002-r00003660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003660-n000004",
   "batch_fingerprint": "4fa995eb476c05b06aec8d64c8d27a49565d6678691047bfd055314c4d2bedad",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003660-n000004-0000-8ed233b4dcd7ec8f.parquet",
-      "sha256": "8ed233b4dcd7ec8f8fec73c2fe427232f2c31936fbb0c33723057286e4a57319",
-      "bytes": 167253,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3661",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003661.lean\",\"b75cbaa2e6d251b1965dbe287022f7d7d032ad9480e963c71269542cd5e0ac00\",0,\"lean_workbook_plus_24276\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003662.lean\",\"267d52cad08344dde3d8ee3c3895239291a4bdf762a64289996f31101eed6ed8\",0,\"lean_workbook_plus_24474\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003663.lean\",\"58f79133eb2362a818556c6466abfdd925a3bcbc06cfa55fa5ef2e3a7f4fcabb\",0,\"lean_workbook_plus_24303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167253,
+      "path": "data/train/p27/oproofs-s00002-r00003660-n000004-0000-8ed233b4dcd7ec8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8ed233b4dcd7ec8f8fec73c2fe427232f2c31936fbb0c33723057286e4a57319"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003664-n000004.json b/manifests/batches/oproofs/s00002-r00003664-n000004.json
index ed0e8d7501acab8cc1dd9187b3b3d9224c55e7be..4e8a8bdfcc524db723702f286230b9885a1c2311 100644
--- a/manifests/batches/oproofs/s00002-r00003664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003664-n000004",
   "batch_fingerprint": "f06faea13ad4bacffaff5d73d285fa5cae80a585a4ff73b61bebf749ec73f03a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003664-n000004-0000-d3a947edc55cfca4.parquet",
-      "sha256": "d3a947edc55cfca47d5073e4cefb664fea24326700d8f8b8b27fa251419e2846",
-      "bytes": 91130,
-      "rows": 11,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003664-n000004-0000-3d711d9b396a5315.parquet",
-      "sha256": "3d711d9b396a5315a7937a1485c1b6af929781395ec5b72325fa55162f934fbc",
-      "bytes": 360836,
-      "rows": 15,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003665.lean\",\"f0eb714ea99331e15e93e7770cf15ac2ff92f8c6e26ebcbf82b55c8df04524ac\",0,\"lean_workbook_plus_24745\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003666.lean\",\"ff32eb24e105898d777d55564834924a94391f385b8a36684ea1c4c4350ab044\",0,\"lean_workbook_plus_24620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003667.lean\",\"8ca40b50c103a4f7114f2d18d85d59b16647bc4665641f80fc98073a31301f5d\",0,\"lean_workbook_plus_24455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91130,
+      "path": "data/train/p91/oproofs-s00002-r00003664-n000004-0000-d3a947edc55cfca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d3a947edc55cfca47d5073e4cefb664fea24326700d8f8b8b27fa251419e2846"
+    },
+    {
+      "bytes": 360836,
+      "path": "data/dev/p91/oproofs-s00002-r00003664-n000004-0000-3d711d9b396a5315.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3d711d9b396a5315a7937a1485c1b6af929781395ec5b72325fa55162f934fbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003668-n000004.json b/manifests/batches/oproofs/s00002-r00003668-n000004.json
index 24d190ed04984f3e9f515f49b93b796e1b9fe980..ceaa162588d283e34be7d7e7cb57be1bdb842c65 100644
--- a/manifests/batches/oproofs/s00002-r00003668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003668-n000004",
   "batch_fingerprint": "c411dcc41ba911b633b0cde4dc12177212b5443d8837ebc11619ad8fdf1d87cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003668-n000004-0000-86e680210c17c457.parquet",
-      "sha256": "86e680210c17c457cdedbcff7541f7f6ac47a6738f09e65763d2a888806d7ec6",
-      "bytes": 223539,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3669",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003669.lean\",\"0f01ab953698eeb5fbf2f88f8703caee76d1c4ec6e60fcbd61b8be0d1b8deb03\",0,\"lean_workbook_plus_24996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003670.lean\",\"07500b23346aaff930a84c8dd86e324520e3053675c7720bc012966042f209f1\",0,\"lean_workbook_plus_24879\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003671.lean\",\"cfd4b87fbb0d987b0af6e8d5a4a661f0ba43014a8fd1f182ce27a199fcd10157\",0,\"lean_workbook_plus_23427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223539,
+      "path": "data/train/p29/oproofs-s00002-r00003668-n000004-0000-86e680210c17c457.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "86e680210c17c457cdedbcff7541f7f6ac47a6738f09e65763d2a888806d7ec6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003672-n000004.json b/manifests/batches/oproofs/s00002-r00003672-n000004.json
index 73c266161e8afa812f0cc39786bc372f999a4a50..b7cb388e72f5ae14d642e09dabd1f02d8d8612b8 100644
--- a/manifests/batches/oproofs/s00002-r00003672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003672-n000004",
   "batch_fingerprint": "1ad0a9fc47d9f7fcf578e106b6165b3e882a64f680e44c4b570ca4bd97157c96",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003672-n000004-0000-c11c2b6f10643fcb.parquet",
-      "sha256": "c11c2b6f10643fcbcac77bdb5ef6a7ad0f55e25330639c1723cc9ed2a1b89587",
-      "bytes": 229683,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003673.lean\",\"e1890e8686018573de8ee76b78aa3ccc4881a224fd0089cae22603433b4bc97e\",0,\"lean_workbook_plus_23836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003674.lean\",\"f134728cc0e2aac768b3dbaa8696d42b27fbd4fcca655c1fdb425a4a959db958\",0,\"lean_workbook_plus_24905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003675.lean\",\"842bffe3ff503de3685b8d81e311c855a3d7a1296f92d32d5aded9ad52bfa1b1\",0,\"lean_workbook_plus_25029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229683,
+      "path": "data/train/pc4/oproofs-s00002-r00003672-n000004-0000-c11c2b6f10643fcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c11c2b6f10643fcbcac77bdb5ef6a7ad0f55e25330639c1723cc9ed2a1b89587"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003676-n000004.json b/manifests/batches/oproofs/s00002-r00003676-n000004.json
index b44e8a5ba9cf776ea6553eaa18e2fc8af3ba6940..fcd22b8c0a387935496239605e711f2b605df82a 100644
--- a/manifests/batches/oproofs/s00002-r00003676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003676-n000004",
   "batch_fingerprint": "a033c31d262a8194b9f15663f1d2d6032e77d57cd57f777b5efa2997fc89a257",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003676-n000004-0000-d4628d6c3a4b87b9.parquet",
-      "sha256": "d4628d6c3a4b87b950983c91ee70a949c0d0b102085f1d9ccb7d8a8d0763ab8d",
-      "bytes": 177663,
-      "rows": 20,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003677.lean\",\"a2107cc7b92aecb000e0fd2f0681e914511f2109f2fb5a41de7ab72d896df696\",0,\"lean_workbook_plus_24937\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003678.lean\",\"384a10b191f1c16d34018774450c0583f72b65f5dfc23d002c9edf0f96a361ee\",0,\"lean_workbook_plus_24949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003679.lean\",\"7605522908d4f11977c6f45a913baf01526387393db6bee29ee9330ce48c7aff\",0,\"lean_workbook_plus_24978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177663,
+      "path": "data/train/p90/oproofs-s00002-r00003676-n000004-0000-d4628d6c3a4b87b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d4628d6c3a4b87b950983c91ee70a949c0d0b102085f1d9ccb7d8a8d0763ab8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003680-n000004.json b/manifests/batches/oproofs/s00002-r00003680-n000004.json
index 55e832bca62243726b2d7104b04cfa8f70fc771a..3b871a44cb3abdb7cdb7f56c58bab91f5f6d40c0 100644
--- a/manifests/batches/oproofs/s00002-r00003680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003680-n000004",
   "batch_fingerprint": "cb791dd66ff72114ff917d0c079e6d48f58f5a64d6453b24577ade0455f5416b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003680-n000004-0000-a0db05636e3f4037.parquet",
-      "sha256": "a0db05636e3f403738f6fa74f0458c1d70a217bbf90b62d47c54e130909c4c87",
-      "bytes": 146569,
-      "rows": 20,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3681",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003681.lean\",\"5b79e0c2fdb737b0ae978911f6647ecfce600f2f7497d3eae973626b3ae33ca5\",0,\"lean_workbook_plus_25100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003682.lean\",\"ac3e6dc8bfba7da1c834a7948dfcf5db56c47700e1b4e6840dfca43002bd9b01\",0,\"lean_workbook_plus_25103\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003683.lean\",\"b4d97e5d43a8e37ca638c96545e35a5a64a694b0ebc3964caf4afc059c9be01c\",0,\"lean_workbook_plus_24861\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146569,
+      "path": "data/train/p86/oproofs-s00002-r00003680-n000004-0000-a0db05636e3f4037.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a0db05636e3f403738f6fa74f0458c1d70a217bbf90b62d47c54e130909c4c87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003684-n000004.json b/manifests/batches/oproofs/s00002-r00003684-n000004.json
index 5c73eec394d0fb9763217a221861bf5131708ed0..9cc48d8f4f2f2cb81769815338957ef47f32fce4 100644
--- a/manifests/batches/oproofs/s00002-r00003684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003684-n000004",
   "batch_fingerprint": "da811e26076b2ddd5e741325c7a704668eabd380a4f393fff7eb4a57845905ab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003684-n000004-0000-8eec39f41744f8e9.parquet",
-      "sha256": "8eec39f41744f8e997962b331fc9601ec81fe62f2c6ec93cd7938adf9bfc982b",
-      "bytes": 426758,
-      "rows": 12,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003685.lean\",\"40858859f52ba32dda3610a605aad64cd60a7c830c8c649530a11fb42d612c62\",0,\"lean_workbook_plus_25133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003686.lean\",\"a3467fa3bd14ea01ceddb4ad8aab665252c33f9c67efafe79fc9504e6955ede0\",0,\"lean_workbook_plus_25072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003687.lean\",\"e0f3809894b273260d6dcd3b2d9a37bcffc0c01accbac1d83d8b549bdf480984\",0,\"lean_workbook_plus_23876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426758,
+      "path": "data/train/paa/oproofs-s00002-r00003684-n000004-0000-8eec39f41744f8e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8eec39f41744f8e997962b331fc9601ec81fe62f2c6ec93cd7938adf9bfc982b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003688-n000004.json b/manifests/batches/oproofs/s00002-r00003688-n000004.json
index 06403733cc740b7ceac2a5af73bf5db62a35a8dd..7976ee653b6cfb21bf97fe9de95af86a075d1f75 100644
--- a/manifests/batches/oproofs/s00002-r00003688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003688-n000004",
   "batch_fingerprint": "b78fbd6eeaabdbe09e76bb25b6b2855160f4bd60a90e4d2ee3d897563ce8e41c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003688-n000004-0000-eab4b8cd898bf851.parquet",
-      "sha256": "eab4b8cd898bf85176c22daea07d0ad149dc8ec7cb8d08ef50d69d4cc0aadb84",
-      "bytes": 286753,
-      "rows": 16,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003689.lean\",\"0cd0f9edc22e38d3b84407a4fb245c7d6f1423461b59e7dc6b4845a26a2d2c13\",0,\"lean_workbook_plus_25083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003690.lean\",\"711e95e10dc9b678a2c3dd235d75ab406b740411106a694d6831863cd816bc5b\",0,\"lean_workbook_plus_24638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003691.lean\",\"fc4802e7d084f7f99b0358da65c0bee8b378a9283931cf05dbdc3655f5ed7040\",0,\"lean_workbook_plus_24898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286753,
+      "path": "data/train/p0c/oproofs-s00002-r00003688-n000004-0000-eab4b8cd898bf851.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "eab4b8cd898bf85176c22daea07d0ad149dc8ec7cb8d08ef50d69d4cc0aadb84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003692-n000004.json b/manifests/batches/oproofs/s00002-r00003692-n000004.json
index b802b80b0c5474aa2924822e739e83f25076a96e..dc10a115ad1fc4a8154a0b7c44ee6884abaec416 100644
--- a/manifests/batches/oproofs/s00002-r00003692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003692-n000004",
   "batch_fingerprint": "f732921faec775e0f09b41bd63cbafe357e47ff60f52fbc46a9892fa10da3338",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003692-n000004-0000-08a414cf66c81b37.parquet",
-      "sha256": "08a414cf66c81b37a9215e94b9ba49028ffdb1737b6ab982185053d917f79259",
-      "bytes": 144054,
-      "rows": 17,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003693.lean\",\"b2f9a9b80773bc1959500df30cf1622353da61a977d51b73139fae2d1a366cf0\",0,\"lean_workbook_plus_25155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003694.lean\",\"8f0beb7dcf63d3b5e1220d59f50997dbb35eaa350a0246189bbcef64b6b342a5\",0,\"lean_workbook_plus_25176\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003695.lean\",\"3c5c51c12b6f835c93503fb2e229fb9fea0d275ced5499cc3676fe3b91cfa98f\",0,\"lean_workbook_plus_23515\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144054,
+      "path": "data/train/p1b/oproofs-s00002-r00003692-n000004-0000-08a414cf66c81b37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "08a414cf66c81b37a9215e94b9ba49028ffdb1737b6ab982185053d917f79259"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003696-n000004.json b/manifests/batches/oproofs/s00002-r00003696-n000004.json
index 495739d3c22bca9e9f1573f3e8cc9412a2f8c8fd..5bbad369563770636431700cead698e2a95d03c1 100644
--- a/manifests/batches/oproofs/s00002-r00003696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003696-n000004",
   "batch_fingerprint": "0e924a5c5816070838d9fecfcf010975861f73ab34f0435effe69831cb530522",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003696-n000004-0000-bb1b0009dc75cfe6.parquet",
-      "sha256": "bb1b0009dc75cfe631188338280f05deb61d1724d32f83cdceb9330bf721e98f",
-      "bytes": 724603,
-      "rows": 15,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003696-n000004-0000-4711597f3e370d89.parquet",
-      "sha256": "4711597f3e370d89da0e5f038226caf88e5261125f711e0bbab97c5017ee870c",
-      "bytes": 126543,
-      "rows": 5,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003697.lean\",\"ca4f68e6f97f327ab2c49d93958bc7d55acf9ca346a6477a969c59981c1db0e2\",0,\"lean_workbook_plus_23871\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003698.lean\",\"03ab2af5e4bdfc7a6003cccd0754c3120c48b11f868797dbdb97338f1d8c1d35\",0,\"lean_workbook_plus_24886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003699.lean\",\"338bbd9227e119979e75bd36f4181c468b935734f93d153bc931249b5fc377fc\",0,\"lean_workbook_plus_23122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 724603,
+      "path": "data/train/p49/oproofs-s00002-r00003696-n000004-0000-bb1b0009dc75cfe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "bb1b0009dc75cfe631188338280f05deb61d1724d32f83cdceb9330bf721e98f"
+    },
+    {
+      "bytes": 126543,
+      "path": "data/dev/p49/oproofs-s00002-r00003696-n000004-0000-4711597f3e370d89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4711597f3e370d89da0e5f038226caf88e5261125f711e0bbab97c5017ee870c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003700-n000004.json b/manifests/batches/oproofs/s00002-r00003700-n000004.json
index a84bc90df1882b0b432dfd2bd29bcbd42368c5da..da19369f74154dff065183b5807bf232c108c21d 100644
--- a/manifests/batches/oproofs/s00002-r00003700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003700-n000004",
   "batch_fingerprint": "9be0b026775c985dd9d74dd25dfe7bac825c55acdc090d8a75ff7f265fca7d59",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003700-n000004-0000-94e6cc7530d7478e.parquet",
-      "sha256": "94e6cc7530d7478e0ad7008f2194f92102c8c5806bb8a3f71cd408ad5200611a",
-      "bytes": 287807,
-      "rows": 15,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3701",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003701.lean\",\"8485d4d48af6297ccd5b6d95d7d2c9cd71b3fb4ac54f30434ef99594b205a9dc\",0,\"lean_workbook_plus_24926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003702.lean\",\"54a6a49c10014257a5a4979af82c4c3d20cc67164eb8ef27215a778506ee246e\",0,\"lean_workbook_plus_24316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003703.lean\",\"49661f36bc8f1b7b2b8a3c95b7a1715f073dfeb0dd70f6d387020c36c5f075e8\",0,\"lean_workbook_plus_24066\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287807,
+      "path": "data/train/p93/oproofs-s00002-r00003700-n000004-0000-94e6cc7530d7478e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "94e6cc7530d7478e0ad7008f2194f92102c8c5806bb8a3f71cd408ad5200611a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003704-n000004.json b/manifests/batches/oproofs/s00002-r00003704-n000004.json
index 211363582e48215cd1b53ec766466166fcc435c6..fbe7baad6f654669569e302c1bc2af70a673b8cc 100644
--- a/manifests/batches/oproofs/s00002-r00003704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003704-n000004",
   "batch_fingerprint": "e89ec92faad5bb5efe5edd4583751cad6466594f4c2565e6d097e6dc7d9bc960",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003704-n000004-0000-ba28a144a8c351fe.parquet",
-      "sha256": "ba28a144a8c351fe50f0624b82c945a380cced98143992eb3958366c3e6b709e",
-      "bytes": 359716,
-      "rows": 14,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003705.lean\",\"8af7ce9efe5c91a777e988842dc1f9715716314dc6c87baf1a2a6057c101be04\",0,\"lean_workbook_plus_25204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003706.lean\",\"84c4c06751f6230f22c675547f36a842d70e321ca90075d44c77a0b7e080931f\",0,\"lean_workbook_plus_24465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003707.lean\",\"6055d115e5f5268f7879f197d33de2efab094e5a3c2bb5a4be0e3504750e909a\",0,\"lean_workbook_plus_24867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359716,
+      "path": "data/train/p5a/oproofs-s00002-r00003704-n000004-0000-ba28a144a8c351fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ba28a144a8c351fe50f0624b82c945a380cced98143992eb3958366c3e6b709e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003708-n000004.json b/manifests/batches/oproofs/s00002-r00003708-n000004.json
index 2254d84ad451618466c117051d886e4fb631cb74..248f00eeb9d3b33a58552802510a974ae919a436 100644
--- a/manifests/batches/oproofs/s00002-r00003708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003708-n000004",
   "batch_fingerprint": "99a8cb4d129e5bfe5c8524a1216051c1c2fec705e423dfb1649875affa0e7b31",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003708-n000004-0000-dd3027ff45221bb4.parquet",
-      "sha256": "dd3027ff45221bb495ba4c501bc4fbd2e280a9e40d21338dd34e2af568684a3b",
-      "bytes": 162032,
-      "rows": 13,
-      "revision": "8fcfc960e646bc1ef84767618e889a6f0c26eeb9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003709.lean\",\"73d33e9fecb30d2984f00aefc23f5f9714f1adacc7575fc28d47a79cbf881033\",0,\"lean_workbook_plus_25041\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003710.lean\",\"d473a312fcba872e7307a3cde4fef7ec84995a020b5db7a931c584e2d5796701\",0,\"lean_workbook_plus_25299\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003711.lean\",\"5413fd2cd8d65b2a28ac1b4019a36d5297386369172b0546502e3f7301ad7d46\",0,\"lean_workbook_plus_25266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162032,
+      "path": "data/train/p87/oproofs-s00002-r00003708-n000004-0000-dd3027ff45221bb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dd3027ff45221bb495ba4c501bc4fbd2e280a9e40d21338dd34e2af568684a3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003712-n000004.json b/manifests/batches/oproofs/s00002-r00003712-n000004.json
index 2b5a881fd756aca85830e0c6349228d2f2be1e3f..65a6683bd501ef7a7a29a8be5cbc9257b2b32f23 100644
--- a/manifests/batches/oproofs/s00002-r00003712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003712-n000004",
   "batch_fingerprint": "632e5154881749d171f7174be78e212c1a7ef9f86fbfddbd326baba720a9fe2e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003712-n000004-0000-ef3ff2d4e86596ee.parquet",
-      "sha256": "ef3ff2d4e86596eed7d55d1038392bbb57df96a461196101836d627123c83398",
-      "bytes": 397606,
-      "rows": 14,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003713.lean\",\"81f572b1bcdc6fe281d145a02b8664255fdd08b271784c9f2ccd98addf35a00f\",0,\"lean_workbook_plus_25310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003714.lean\",\"82fa8f5c79fa0ade0e86c87139ca8cdc8b383692fcc64b59e8ff684fa4490e18\",0,\"lean_workbook_plus_25398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003715.lean\",\"3f97414a547efe722d5bc344631589e30379f61156ee9c57d2a10852d182cdba\",0,\"lean_workbook_plus_25369\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397606,
+      "path": "data/train/p17/oproofs-s00002-r00003712-n000004-0000-ef3ff2d4e86596ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ef3ff2d4e86596eed7d55d1038392bbb57df96a461196101836d627123c83398"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003716-n000004.json b/manifests/batches/oproofs/s00002-r00003716-n000004.json
index 09d55cacb7b8693d7b20de58ca4273f3f07d9638..8d2ba0da734b8591925c96ce982a51239aca24a7 100644
--- a/manifests/batches/oproofs/s00002-r00003716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003716-n000004",
   "batch_fingerprint": "72fdbf3151164c885e6ccc8ed326756a4f9d6c369aa15e24ba825965f01a6c84",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003716-n000004-0000-91256a986037d1f8.parquet",
-      "sha256": "91256a986037d1f85b6627dcef494a362103148ecbb0b8993d1f9bcf76c9dafc",
-      "bytes": 228338,
-      "rows": 20,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003716-n000004-0000-b3c4583754cb12b0.parquet",
-      "sha256": "b3c4583754cb12b099e73bd486fbdb2c472c50874f6340c3c6ca44354143fada",
-      "bytes": 100144,
-      "rows": 6,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003717.lean\",\"fbd1036561709d78b34496adbe2c279793c2bb3bf4a59f6caa495dbc6da88eb2\",0,\"lean_workbook_plus_25051\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003718.lean\",\"9e0843cfb8079028b9e39f28dffee45b653be798b5c73cfcacd5e2cd3f3c07a9\",0,\"lean_workbook_plus_23937\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003719.lean\",\"7c7d1198817faf8bbf5028798ae31075d3863e94fa2979034ae006549ccaa720\",0,\"lean_workbook_plus_25250\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228338,
+      "path": "data/train/p5f/oproofs-s00002-r00003716-n000004-0000-91256a986037d1f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "91256a986037d1f85b6627dcef494a362103148ecbb0b8993d1f9bcf76c9dafc"
+    },
+    {
+      "bytes": 100144,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00003716-n000004-0000-b3c4583754cb12b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b3c4583754cb12b099e73bd486fbdb2c472c50874f6340c3c6ca44354143fada"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003720-n000004.json b/manifests/batches/oproofs/s00002-r00003720-n000004.json
index 4980c05920bfe97da3d2cf0d941203cb99a7f586..d33bdc54d5179e943ef4b0a8a357517826853398 100644
--- a/manifests/batches/oproofs/s00002-r00003720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003720-n000004",
   "batch_fingerprint": "e90b2ceca7f58e92f40de915d513bad013f60082f6aad350fe54535dc7bd6292",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003720-n000004-0000-314aa11845ac71de.parquet",
-      "sha256": "314aa11845ac71de6a9269134407ed82e672e257233dd2d8df557cd069c4d7a0",
-      "bytes": 463479,
-      "rows": 15,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003720-n000004-0000-254f2dfc49ba4fca.parquet",
-      "sha256": "254f2dfc49ba4fca3cbb3c4bbd0863402c34c10a47933fb344dd2a62b9006766",
-      "bytes": 81231,
-      "rows": 5,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003721.lean\",\"dde564493bcb26a592f5cefdc886a0887859c9e676fc454ccfbeb9234d74c9a1\",0,\"lean_workbook_plus_23778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003722.lean\",\"5ecf64f1966f1824f4a4db0e783d77b290b6a6694cc67cb572bf64adc0ba0883\",0,\"lean_workbook_plus_25128\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003723.lean\",\"01e3d6d73484e0b9d22a03bebc20a01c47cad41d1c95c5d7e4c3b3d49044fa06\",0,\"lean_workbook_plus_24961\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463479,
+      "path": "data/train/pdd/oproofs-s00002-r00003720-n000004-0000-314aa11845ac71de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "314aa11845ac71de6a9269134407ed82e672e257233dd2d8df557cd069c4d7a0"
+    },
+    {
+      "bytes": 81231,
+      "path": "data/internal_test/pdd/oproofs-s00002-r00003720-n000004-0000-254f2dfc49ba4fca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "254f2dfc49ba4fca3cbb3c4bbd0863402c34c10a47933fb344dd2a62b9006766"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003724-n000004.json b/manifests/batches/oproofs/s00002-r00003724-n000004.json
index 57d628e189885fa21fde3295db410c18178e3006..97f46f4c5d5ae7562782092d59e2329785a9a03e 100644
--- a/manifests/batches/oproofs/s00002-r00003724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003724-n000004",
   "batch_fingerprint": "1cffcb9ae45377b9a116cf812c3712e450e218c2beaa389b6537dd4a3e1a2970",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003724-n000004-0000-d9159a6cdf7f8800.parquet",
-      "sha256": "d9159a6cdf7f8800971e27cd8053b74598d04ea6a5640137a17512a6a72101d4",
-      "bytes": 172545,
-      "rows": 22,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003725.lean\",\"260a1262045dcabcafe65d4ac0e645c07b73a08220f2d5f7b4c2d23f8618a6f6\",0,\"lean_workbook_plus_25213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003726.lean\",\"37c2b8bcff2b6d8a30128d83ab68a8ea6254e580cf76fcf4ba15b0909e605614\",0,\"lean_workbook_plus_25439\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003727.lean\",\"c429a78863de2f351d7000ebf62f1f8bc9568ee063ceca65044938926390f8d1\",0,\"lean_workbook_plus_25432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172545,
+      "path": "data/train/pad/oproofs-s00002-r00003724-n000004-0000-d9159a6cdf7f8800.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "d9159a6cdf7f8800971e27cd8053b74598d04ea6a5640137a17512a6a72101d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003728-n000004.json b/manifests/batches/oproofs/s00002-r00003728-n000004.json
index dd1a166d61dfb0f190afe8aa26db7599a607f9ec..6290991b38738690ba88c669c545a077287b2ac8 100644
--- a/manifests/batches/oproofs/s00002-r00003728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003728-n000004",
   "batch_fingerprint": "46d865494d615689a4e790b2a09a6e8d50b53253b6cf2e59ecc95b5113c9020b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003728-n000004-0000-7697a4c3409b8ff0.parquet",
-      "sha256": "7697a4c3409b8ff0a8d39a03c43432d46ef56026ac529547f11aec10d62e7d8e",
-      "bytes": 110976,
-      "rows": 7,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003728-n000004-0000-a888913b7e24a734.parquet",
-      "sha256": "a888913b7e24a734529d8db3e89a7c1f76ec1c840daab99a6bb12c25469fb178",
-      "bytes": 46145,
-      "rows": 3,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003729.lean\",\"2a2cb89ef33e515f8e1aa5cfd46ca1e76304e177438bff95aaf127b395318284\",0,\"lean_workbook_plus_25454\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003730.lean\",\"248ec9dc0a36b108e6233bda3ddf8438e9f73bedcf6ff6f4aa909676664b5bd3\",0,\"lean_workbook_plus_25348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003731.lean\",\"ee9f146cab50f3437066d15020c66a92bceb11c0b369bc372e6bf473c0e125e0\",0,\"lean_workbook_plus_23857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110976,
+      "path": "data/train/pc5/oproofs-s00002-r00003728-n000004-0000-7697a4c3409b8ff0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7697a4c3409b8ff0a8d39a03c43432d46ef56026ac529547f11aec10d62e7d8e"
+    },
+    {
+      "bytes": 46145,
+      "path": "data/dev/pc5/oproofs-s00002-r00003728-n000004-0000-a888913b7e24a734.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a888913b7e24a734529d8db3e89a7c1f76ec1c840daab99a6bb12c25469fb178"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003732-n000004.json b/manifests/batches/oproofs/s00002-r00003732-n000004.json
index b5b95b2ac105c137a6fc46d41aae944fc60684f4..535958b69514a3907333a2a09a9d0c70134bfc40 100644
--- a/manifests/batches/oproofs/s00002-r00003732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003732-n000004",
   "batch_fingerprint": "6b1eace4c47678a9934d91a096f4848486c74b56ffd951ffaddc423b6129e321",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003732-n000004-0000-32b322d969e6cc4e.parquet",
-      "sha256": "32b322d969e6cc4edef5701a2eebcb10e88771c92a793484aa9ceefe7dddc38f",
-      "bytes": 124537,
-      "rows": 10,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003732-n000004-0000-bdce7872d4964ea2.parquet",
-      "sha256": "bdce7872d4964ea2628a3133324498d6622ef33ad31d5671fce3943dc04ddbee",
-      "bytes": 55846,
-      "rows": 3,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3733",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003733.lean\",\"284d9a4460fbc2ff10b217f54cbbe444dbd2a3a3400152fa866e427b99696d2a\",0,\"lean_workbook_plus_25431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003734.lean\",\"accef53fd5f05b803e9b85e11d29f4c4eba2414f91c874120c71f93313d6e24e\",0,\"lean_workbook_plus_25368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003735.lean\",\"beb7f33b418af565c269d57f75a3c1aef3bb9c876a549e2c66691e1d336d5d5c\",0,\"lean_workbook_plus_25486\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124537,
+      "path": "data/train/pbd/oproofs-s00002-r00003732-n000004-0000-32b322d969e6cc4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "32b322d969e6cc4edef5701a2eebcb10e88771c92a793484aa9ceefe7dddc38f"
+    },
+    {
+      "bytes": 55846,
+      "path": "data/internal_test/pbd/oproofs-s00002-r00003732-n000004-0000-bdce7872d4964ea2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bdce7872d4964ea2628a3133324498d6622ef33ad31d5671fce3943dc04ddbee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003736-n000004.json b/manifests/batches/oproofs/s00002-r00003736-n000004.json
index eec57c94cdfefae2be145e45f913949ce1347df2..381e2347c233b70462df2f49e71e1730fbbb435e 100644
--- a/manifests/batches/oproofs/s00002-r00003736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003736-n000004",
   "batch_fingerprint": "f431f92021e491e82f46facad1bfefb58395b59d0fd29df61f57e840de57eef0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003736-n000004-0000-2bed0caa32a9a118.parquet",
-      "sha256": "2bed0caa32a9a118ca364332c3e767c8dced8184fd0aa65d42a5798430081e60",
-      "bytes": 125477,
-      "rows": 10,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003736-n000004-0000-3808d900126c8b13.parquet",
-      "sha256": "3808d900126c8b132116ff91197a76f8e3a13dfe3938834c2d0eedf0c2abbd89",
-      "bytes": 66892,
-      "rows": 4,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003737.lean\",\"c1053c6f3b5f448ee0d3b9d057fa27e0abdc4dfc6ad7243dbf29247d5669b8f0\",0,\"lean_workbook_plus_25429\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003738.lean\",\"40ad309388817222b032f63f4674ccf70a1a5c8b06d235a854d8953605d8f2f3\",0,\"lean_workbook_plus_25568\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003739.lean\",\"dbf36006f035464da911035d187a97f83f605b7f84b6b2b6b4f1b6141b324269\",0,\"lean_workbook_plus_2544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125477,
+      "path": "data/train/pbb/oproofs-s00002-r00003736-n000004-0000-2bed0caa32a9a118.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2bed0caa32a9a118ca364332c3e767c8dced8184fd0aa65d42a5798430081e60"
+    },
+    {
+      "bytes": 66892,
+      "path": "data/dev/pbb/oproofs-s00002-r00003736-n000004-0000-3808d900126c8b13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3808d900126c8b132116ff91197a76f8e3a13dfe3938834c2d0eedf0c2abbd89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003740-n000004.json b/manifests/batches/oproofs/s00002-r00003740-n000004.json
index bbd2689da861e53686b48f04385f61ecccf49468..c96d34796c83a50814e198ea6221bf2c8def09fd 100644
--- a/manifests/batches/oproofs/s00002-r00003740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003740-n000004",
   "batch_fingerprint": "6b8b471eb60c163331e898a927afa84dc09965e9eb57ab3e00a797f4af30db89",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003740-n000004-0000-e75d7504feb0d112.parquet",
-      "sha256": "e75d7504feb0d112f7f39429752991c9bd941e615ea56c8e63eab978c1a26656",
-      "bytes": 170099,
-      "rows": 13,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003740-n000004-0000-36c7d3f5cdc78841.parquet",
-      "sha256": "36c7d3f5cdc788412eb2296d37b17e95eb9bdfc3018cccb2b34771fa4612538b",
-      "bytes": 33518,
-      "rows": 2,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003741.lean\",\"d76d37c0d952e8375e3d1b0bbd2e714056f7ca44c4e6a9d24929532013ebdaf5\",0,\"lean_workbook_plus_2409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003742.lean\",\"471ec5c09c0637080ec89a2457582e20c1c0302c591f99ffe0413fdfa20735cc\",0,\"lean_workbook_plus_25179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003743.lean\",\"6cc7a8f09e74907db7f022b2a35afa46b784e8c83abbe1774a3d24f725a1c894\",0,\"lean_workbook_plus_25604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170099,
+      "path": "data/train/p60/oproofs-s00002-r00003740-n000004-0000-e75d7504feb0d112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e75d7504feb0d112f7f39429752991c9bd941e615ea56c8e63eab978c1a26656"
+    },
+    {
+      "bytes": 33518,
+      "path": "data/internal_test/p60/oproofs-s00002-r00003740-n000004-0000-36c7d3f5cdc78841.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "36c7d3f5cdc788412eb2296d37b17e95eb9bdfc3018cccb2b34771fa4612538b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003744-n000004.json b/manifests/batches/oproofs/s00002-r00003744-n000004.json
index 8f88b56bfcaa79d51b1a2d2679d2e79a06163b23..ce28c1f78fc15fe6261e3470cb2e1007b7531cc6 100644
--- a/manifests/batches/oproofs/s00002-r00003744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003744-n000004",
   "batch_fingerprint": "745895f57f59c1f666e27d0197f66eafd5aba38bb6258bb4bd5b5caf2fcda3ab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003744-n000004-0000-15bea8e03ed5b245.parquet",
-      "sha256": "15bea8e03ed5b245fd9303b85c81a53dfd9ceef6d924fe66781b65b9f6ca9b25",
-      "bytes": 245757,
-      "rows": 13,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3745",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003745.lean\",\"bea7ebddd524e62d2340393302adf6ef74e3e59403bdecef7c9278788f549689\",0,\"lean_workbook_plus_25184\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003746.lean\",\"61ea52130f8aaa05145329767084d1c3bd1949e5914f67d44ccd22dcd17cd8b5\",0,\"lean_workbook_plus_25422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003747.lean\",\"47845184bf4e953f174b787745d783e1031bc5ee44ad599c8de57c6134f7a8ba\",0,\"lean_workbook_plus_25237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245757,
+      "path": "data/train/pee/oproofs-s00002-r00003744-n000004-0000-15bea8e03ed5b245.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "15bea8e03ed5b245fd9303b85c81a53dfd9ceef6d924fe66781b65b9f6ca9b25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003748-n000004.json b/manifests/batches/oproofs/s00002-r00003748-n000004.json
index c78327e3b80ea2021b4ea5b0dd6ceb7a138a77c4..653502e21c2b0cfcdf86d28c535ad8d3a44a1fa9 100644
--- a/manifests/batches/oproofs/s00002-r00003748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003748-n000004",
   "batch_fingerprint": "9be03a05a748728e2ca88527fbbb9028fc5def01a731ad8880330850469891e2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003748-n000004-0000-c2f8b3483f5bc766.parquet",
-      "sha256": "c2f8b3483f5bc76684dfccfb3811353f821a192fdd92cf30025fa1e3fb5a1f09",
-      "bytes": 535736,
-      "rows": 13,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3749",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003749.lean\",\"f1337fc24a0dcc4043c1624b3fdf7e75834c61b64361de3def21f29ccf8aca44\",0,\"lean_workbook_plus_23717\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003750.lean\",\"7455aec2aef1a2d6b5a79113969a2a74e2f74e9668be6a86adcf43cf5f936f93\",0,\"lean_workbook_plus_24830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003751.lean\",\"1b64b6881f0d8e95f536f35ded016476308535366bd86bb69e64787a47b90507\",0,\"lean_workbook_plus_25640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 535736,
+      "path": "data/train/paf/oproofs-s00002-r00003748-n000004-0000-c2f8b3483f5bc766.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c2f8b3483f5bc76684dfccfb3811353f821a192fdd92cf30025fa1e3fb5a1f09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003752-n000004.json b/manifests/batches/oproofs/s00002-r00003752-n000004.json
index 162b2cb4bb4dcc05e7699ed3be24d481a6dedeb9..7fb37aec025d782577931bb171fbb33fd1dcb544 100644
--- a/manifests/batches/oproofs/s00002-r00003752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003752-n000004",
   "batch_fingerprint": "de67f3b4804c328ea5b651c6756c46777860dc61902d19c763c9d38421b79b48",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003752-n000004-0000-44df10d74572b9b3.parquet",
-      "sha256": "44df10d74572b9b3d61acd18a91d4857be324f3358f41a77f82cdcdaa063eb7c",
-      "bytes": 749169,
-      "rows": 16,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003752-n000004-0000-bac8b5f45146ac95.parquet",
-      "sha256": "bac8b5f45146ac95944ecdc0ceb5a77ac00baaa918731ffbb53eb396ac1eaef7",
-      "bytes": 28613,
-      "rows": 3,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003753.lean\",\"8116018f736541c15a58d5d9f165994942d4a78be616d5c1eca31d8273c4a4fe\",0,\"lean_workbook_plus_25683\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003754.lean\",\"364907bc8b51bc75376f6062cf3bf70075084aabeae5df5d2504ffffe5e1dcc6\",0,\"lean_workbook_plus_23832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003755.lean\",\"61ccc65c324a80071cf7e33d4d8bdb9b8f62f66e855958df3707b5781c03ca49\",0,\"lean_workbook_plus_2528\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 749169,
+      "path": "data/train/p42/oproofs-s00002-r00003752-n000004-0000-44df10d74572b9b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "44df10d74572b9b3d61acd18a91d4857be324f3358f41a77f82cdcdaa063eb7c"
+    },
+    {
+      "bytes": 28613,
+      "path": "data/dev/p42/oproofs-s00002-r00003752-n000004-0000-bac8b5f45146ac95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bac8b5f45146ac95944ecdc0ceb5a77ac00baaa918731ffbb53eb396ac1eaef7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003756-n000004.json b/manifests/batches/oproofs/s00002-r00003756-n000004.json
index 844d12b39b4c8bd72177556f1e55058d8cb2cf49..b27f8b5ebe47e0e6affa669a1287e481729360c6 100644
--- a/manifests/batches/oproofs/s00002-r00003756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003756-n000004",
   "batch_fingerprint": "4dc12db8f6b3d415539c42e6259a2197820c547d1e6e21963f7ebad4db7d3ef3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003756-n000004-0000-b9eb3e99db23d7ca.parquet",
-      "sha256": "b9eb3e99db23d7ca4bce9f0e9d85ed22fa6f58390d82fc876626bb18a50af07d",
-      "bytes": 164409,
-      "rows": 11,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003757.lean\",\"266937d3ace0061cf19e6a3612e1fee42912b2ae146927cc36418a32294c9253\",0,\"lean_workbook_plus_25094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003758.lean\",\"59b9955d25e949e60ebecadef81c0f3576f18d1a5debc5ecd03a611b1928c273\",0,\"lean_workbook_plus_25653\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003759.lean\",\"78945d2d75b68ac8611cda4313315abb5c5facb0f8c66d33572e71fa5ab8280f\",0,\"lean_workbook_plus_22860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164409,
+      "path": "data/train/pe7/oproofs-s00002-r00003756-n000004-0000-b9eb3e99db23d7ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b9eb3e99db23d7ca4bce9f0e9d85ed22fa6f58390d82fc876626bb18a50af07d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003760-n000004.json b/manifests/batches/oproofs/s00002-r00003760-n000004.json
index cf7bea47d3d0532b2f7bbaf5b16d885c80cb69cd..a116b71963bb379e65b5588dfb86b985768c0243 100644
--- a/manifests/batches/oproofs/s00002-r00003760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003760-n000004",
   "batch_fingerprint": "6a24ffb71911d227f1a64fc74329233fdc4adaf44be652721365ce9c25696378",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003760-n000004-0000-7e06407950c4633f.parquet",
-      "sha256": "7e06407950c4633fe9d82097e9038bff9a4ed7a3c59450934280c1c9472ada01",
-      "bytes": 154453,
-      "rows": 14,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003761.lean\",\"68cc5adec419fc7270e9c1632654ade50c46f305f76309316567c3240ac79f39\",0,\"lean_workbook_plus_25424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003762.lean\",\"e60e88d8441daaadfad3dda6ff2327e60391aacc4fe9715e4691ed939996aadc\",0,\"lean_workbook_plus_23541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003763.lean\",\"5367b9eebcd1ddbd6f9d9520eb599dc1c4596670b4630a361b151659914abbd0\",0,\"lean_workbook_plus_24444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154453,
+      "path": "data/train/p50/oproofs-s00002-r00003760-n000004-0000-7e06407950c4633f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7e06407950c4633fe9d82097e9038bff9a4ed7a3c59450934280c1c9472ada01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003764-n000004.json b/manifests/batches/oproofs/s00002-r00003764-n000004.json
index fa91eb0b8f4d97f39914f334605bc4cbc0a79a08..a0af7364357950fe146bb8382066df1e4ac21030 100644
--- a/manifests/batches/oproofs/s00002-r00003764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003764-n000004",
   "batch_fingerprint": "119c9609ab77737e3e6d89662fbe7546dfa1ffbb68ce19d06379e093e21d2d21",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003764-n000004-0000-72e52ace7037a96d.parquet",
-      "sha256": "72e52ace7037a96dd05c150cf7ddc52604a0f4523646834ac34a460e4fce6c6c",
-      "bytes": 242116,
-      "rows": 23,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003765.lean\",\"52be416a1aa47840e8ef0d95439b06ba6a47d61a0773edf0abf72fb356654e52\",0,\"lean_workbook_plus_25613\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003766.lean\",\"bf8315a575ba1c8c2471cd3040f13edd5e8235246f2807cf01530a01db535263\",0,\"lean_workbook_plus_25742\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003767.lean\",\"d0741be5108d9772cf667b29b4d93e58e9eb557084ae42b1c3364f5d62a9fadd\",0,\"lean_workbook_plus_25732\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242116,
+      "path": "data/train/p3e/oproofs-s00002-r00003764-n000004-0000-72e52ace7037a96d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "72e52ace7037a96dd05c150cf7ddc52604a0f4523646834ac34a460e4fce6c6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003768-n000004.json b/manifests/batches/oproofs/s00002-r00003768-n000004.json
index ab4531fb51754626ecc1404e7adca0eac8adec41..681e75746bc811641c05d8d9bfd1d0245c1a495d 100644
--- a/manifests/batches/oproofs/s00002-r00003768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003768-n000004",
   "batch_fingerprint": "2061c91e4d323a2ef6b538a36f775d74d8980d8a32f3b67689a467e21ec65111",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003768-n000004-0000-0b25289ccd1b0365.parquet",
-      "sha256": "0b25289ccd1b03652a02814c2c1dc059ee9caca2b324ebc25eacedc5946220a2",
-      "bytes": 280490,
-      "rows": 22,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003769.lean\",\"fdb1845abfe89cae3c406e14b257f2ce594548d0c58da88b895668cf82f1b7be\",0,\"lean_workbook_plus_23837\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003770.lean\",\"3c41377bd1c854124735e659505f3d79a0a17af0147810c8ae8cbb5de4b2283a\",0,\"lean_workbook_plus_25132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003771.lean\",\"7c0efd51bd5fd2321dbe454e53f86aee45a3a557613dad87e132797f8f05d089\",0,\"lean_workbook_plus_25699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280490,
+      "path": "data/train/p15/oproofs-s00002-r00003768-n000004-0000-0b25289ccd1b0365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0b25289ccd1b03652a02814c2c1dc059ee9caca2b324ebc25eacedc5946220a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003772-n000004.json b/manifests/batches/oproofs/s00002-r00003772-n000004.json
index 1580b4cbe2e9713c8b76815582702840e22a533b..8f1583d20b7e95c97dbdcaa319b5a1fd3551c7ca 100644
--- a/manifests/batches/oproofs/s00002-r00003772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003772-n000004",
   "batch_fingerprint": "b0a98c18fa259508775b658fdd557362fcf44f3a35f2bf4f5f2f19795ea6fda6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003772-n000004-0000-8be61dc61e02e16a.parquet",
-      "sha256": "8be61dc61e02e16a817adf12f27b970b567a78360cf0ffb01e9d77b43c04c7ae",
-      "bytes": 94324,
-      "rows": 17,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003773.lean\",\"a3070236528eb4e0bc27107ddef6a8d043f9d5ea5849292f56d78c06960d6319\",0,\"lean_workbook_plus_25755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003774.lean\",\"90719c8aa2a0abc553208f6552f4937d7d36fdbed474dd01d0691af94581d605\",0,\"lean_workbook_plus_24685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003775.lean\",\"50c0a7b1db9d0f4747f073a3890352088ef58a00e618dd00d88be16f85d761d2\",0,\"lean_workbook_plus_25802\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94324,
+      "path": "data/train/pf1/oproofs-s00002-r00003772-n000004-0000-8be61dc61e02e16a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8be61dc61e02e16a817adf12f27b970b567a78360cf0ffb01e9d77b43c04c7ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003776-n000004.json b/manifests/batches/oproofs/s00002-r00003776-n000004.json
index d16ebe41cc54c921c2dd218adddc4d912bdb10a5..03d429a0e79b542c842319a4cc59fd4765bde0ea 100644
--- a/manifests/batches/oproofs/s00002-r00003776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003776-n000004",
   "batch_fingerprint": "bfbd8563f16e7025b71bdf9b28a6dfa9aae4fcfc0d0c762749fbca780a515993",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003776-n000004-0000-52e4b7c7adf0138f.parquet",
-      "sha256": "52e4b7c7adf0138fef11b90dfce1fcf994d5fd8049b91aa6de99832f1e03b521",
-      "bytes": 217687,
-      "rows": 18,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003777.lean\",\"82d517d390e862d6c5ae12941d848da7cef3244c74aade3fd1c9c05a622d2b19\",0,\"lean_workbook_plus_242\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003778.lean\",\"156c40d3f07f1f3fcb86cbda3c745d921f9e47cfdbf0d8e1caded54004a37089\",0,\"lean_workbook_plus_25811\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003779.lean\",\"7524d39ef569b9d98173d5269548a32b7d35481c1fa54852ca2057909796e982\",0,\"lean_workbook_plus_25806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217687,
+      "path": "data/train/p95/oproofs-s00002-r00003776-n000004-0000-52e4b7c7adf0138f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "52e4b7c7adf0138fef11b90dfce1fcf994d5fd8049b91aa6de99832f1e03b521"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003780-n000004.json b/manifests/batches/oproofs/s00002-r00003780-n000004.json
index 071e6cb68756419dcdaf2e034875f21654583f73..8b7eb3259f9409822238a8fc79f89c6cfbf4892c 100644
--- a/manifests/batches/oproofs/s00002-r00003780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003780-n000004",
   "batch_fingerprint": "f9f517b693708c71a71616bce46e052549289b0641a31f025d280d4dfee38abf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003780-n000004-0000-288d5082f1d9ccfc.parquet",
-      "sha256": "288d5082f1d9ccfc377ffa28867cf971108c05a69bba76655c33cf3f88e4387b",
-      "bytes": 119964,
-      "rows": 10,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003780-n000004-0000-c3e8b8275944b717.parquet",
-      "sha256": "c3e8b8275944b717dcd46dd1b886e6120ef27800261a16e131725a3fa978db38",
-      "bytes": 527179,
-      "rows": 12,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3781",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003781.lean\",\"8e1cf2eddbc1a67ca63a16a41eae1ffb386aaf3a6656cde78e9e3a81a3fcf735\",0,\"lean_workbook_plus_25303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003782.lean\",\"5f643ccd06865fc141b68cc032c347766e7055878f2c04dfa3b854c25f15734f\",0,\"lean_workbook_plus_2545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003783.lean\",\"fefc665af3bade811c010bdd032c4972fff1cd7d381bb2434f2b771caae318a4\",0,\"lean_workbook_plus_24697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119964,
+      "path": "data/train/p58/oproofs-s00002-r00003780-n000004-0000-288d5082f1d9ccfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "288d5082f1d9ccfc377ffa28867cf971108c05a69bba76655c33cf3f88e4387b"
+    },
+    {
+      "bytes": 527179,
+      "path": "data/internal_test/p58/oproofs-s00002-r00003780-n000004-0000-c3e8b8275944b717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c3e8b8275944b717dcd46dd1b886e6120ef27800261a16e131725a3fa978db38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003784-n000004.json b/manifests/batches/oproofs/s00002-r00003784-n000004.json
index 49601b9f38b6b1f653b84e23c306fb6506bcb582..e24c971db15dec13f84e6e9e71253969f3d0d3dd 100644
--- a/manifests/batches/oproofs/s00002-r00003784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003784-n000004",
   "batch_fingerprint": "ad0b755038dd3dee8dcaa0d3398b8e72bbb60e6b0405e582989f7df697a1f542",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003784-n000004-0000-cf96954b79319543.parquet",
-      "sha256": "cf96954b7931954359c679329cc42231226178b4cbca979b490f11464867a6ea",
-      "bytes": 249877,
-      "rows": 19,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003785.lean\",\"e6132bb9b1c819b71d6587042d5e23d6f15c3137a90158382bc649aa1900472e\",0,\"lean_workbook_plus_25148\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003786.lean\",\"b91267c7368664c30c64285e65af889c3ba9569d4dfbec30fd3c367d8b47b1a5\",0,\"lean_workbook_plus_23699\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003787.lean\",\"e3bccd47fdceea351e71d6ef29fd2f2d284244ac2f53a1ec0f03895bec109e5c\",0,\"lean_workbook_plus_25839\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249877,
+      "path": "data/train/p37/oproofs-s00002-r00003784-n000004-0000-cf96954b79319543.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "cf96954b7931954359c679329cc42231226178b4cbca979b490f11464867a6ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003788-n000004.json b/manifests/batches/oproofs/s00002-r00003788-n000004.json
index d6f2595564e4f034091336c73e822a094da906b7..e4e13c4bbfd33ba3552e5a03dee4bfa2859c2404 100644
--- a/manifests/batches/oproofs/s00002-r00003788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003788-n000004",
   "batch_fingerprint": "a96c0ff81a6fcb933c439f228fdd1c6e6d93bc33ecd785d5426509865fa3c473",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003788-n000004-0000-0da2d86f7027f57a.parquet",
-      "sha256": "0da2d86f7027f57a8fac64a73388f9dd63a1fff27e999beebe36b1e903c3ef38",
-      "bytes": 105209,
-      "rows": 8,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003788-n000004-0000-a3c0cfe7abdf6950.parquet",
-      "sha256": "a3c0cfe7abdf6950a3fcfe49164b4fee759db15e016932e2ff4260882363eee2",
-      "bytes": 78991,
-      "rows": 3,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3789",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003789.lean\",\"a356f75d5c59348a5bb72c54c75725340ab0c53f689a0a6dc20d0345c37102bc\",0,\"lean_workbook_plus_25792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003790.lean\",\"0cbd9398a532df74f4813ddbdfdb3508925389fe3efb4dac774ac0518d60f5f4\",0,\"lean_workbook_plus_25908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003791.lean\",\"cd3907684e569c66b229dc2bea87b3f10806691f46fe3d87538c1e9a8c0a7b57\",0,\"lean_workbook_plus_25912\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105209,
+      "path": "data/train/p8d/oproofs-s00002-r00003788-n000004-0000-0da2d86f7027f57a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0da2d86f7027f57a8fac64a73388f9dd63a1fff27e999beebe36b1e903c3ef38"
+    },
+    {
+      "bytes": 78991,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00003788-n000004-0000-a3c0cfe7abdf6950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a3c0cfe7abdf6950a3fcfe49164b4fee759db15e016932e2ff4260882363eee2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003792-n000004.json b/manifests/batches/oproofs/s00002-r00003792-n000004.json
index fa4597fb633feef3c2c68fba6add3b9d9db895b9..20e849aef3b766892eab0d2df05b2d7fd5b7c0b6 100644
--- a/manifests/batches/oproofs/s00002-r00003792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003792-n000004",
   "batch_fingerprint": "d2ac5dd623e323e1f05ecb96cdddfcf6106c131b32e92bd94f50db2cbeb3088b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003792-n000004-0000-b0f3f42f4f2d970e.parquet",
-      "sha256": "b0f3f42f4f2d970e9d71a7fa510d2ba7d35734553b811f47822fbfadcc0bebd4",
-      "bytes": 573512,
-      "rows": 17,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003793.lean\",\"d7ad72145f1c5331acac90de216ddf5224fd12fd8c31c757f24c75a15b1ea984\",0,\"lean_workbook_plus_25759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003794.lean\",\"b107715a9a7389be1fa5aaced1709b0c205d27af60fd626ea7b6259117caca73\",0,\"lean_workbook_plus_25263\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003795.lean\",\"ff5aabc527456e6ee646d0fef8a8b04267fc7cb3c70ce76ae3a3ff3b2eebb24a\",0,\"lean_workbook_plus_23880\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 573512,
+      "path": "data/train/pdb/oproofs-s00002-r00003792-n000004-0000-b0f3f42f4f2d970e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b0f3f42f4f2d970e9d71a7fa510d2ba7d35734553b811f47822fbfadcc0bebd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003796-n000004.json b/manifests/batches/oproofs/s00002-r00003796-n000004.json
index f9533fa8b22384d96fbb6da6678142071690021f..21036c132a4787a24e91d95ab24a613c843aaa3d 100644
--- a/manifests/batches/oproofs/s00002-r00003796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003796-n000004",
   "batch_fingerprint": "956577ebe14d7662621b6b158945d950afcd02bd299b1cea02417005172d33aa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003796-n000004-0000-c6db6c8829760f06.parquet",
-      "sha256": "c6db6c8829760f0694aff32dcc9a8c313ddb44e05cd4df8909f833ff86563cae",
-      "bytes": 781612,
-      "rows": 27,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003797.lean\",\"f07aa39f8c6295373712e4897bc3b37cdb8aa4e5ed69b2dca41f878490687002\",0,\"lean_workbook_plus_24738\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003798.lean\",\"49ee932577ebeb7a29c1cec24efae89a6610e883698f66127a14923cf3ff497d\",0,\"lean_workbook_plus_25841\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003799.lean\",\"dc8f7a6c283ef31097deb4dad8c6dad489deb7e9950b71f2420f4a41f3d6cb4c\",0,\"lean_workbook_plus_25761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 781612,
+      "path": "data/train/pdd/oproofs-s00002-r00003796-n000004-0000-c6db6c8829760f06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "c6db6c8829760f0694aff32dcc9a8c313ddb44e05cd4df8909f833ff86563cae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003800-n000004.json b/manifests/batches/oproofs/s00002-r00003800-n000004.json
index 414b942b72009e47e1e177413e0a9ed6404f5bf3..a43a5e11e0c25adda8a2f78e31f3fe02d1262ec3 100644
--- a/manifests/batches/oproofs/s00002-r00003800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003800-n000004",
   "batch_fingerprint": "d46a3777b0c9eb2937b0ede3b940e56d50201a42200668770ef4c99dad03868b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003800-n000004-0000-899166b27d170380.parquet",
-      "sha256": "899166b27d17038027f5a013160637f233c90685b4f116789defa07775efbce3",
-      "bytes": 159638,
-      "rows": 19,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003801.lean\",\"a1965fe5698a59f61c206bf13508237a851b24fbbb37d84e34dd5c110dc0ca6f\",0,\"lean_workbook_plus_25401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003802.lean\",\"f5bc436f8eb53cb45339d8a64ec1f6725917107d0025eaba97be42416beb0a1b\",0,\"lean_workbook_plus_25015\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003803.lean\",\"4f01041cf0058693ef7a4c3a42772bf3533aaf5d91b11cc3e78b0881e56ed9db\",0,\"lean_workbook_plus_26\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159638,
+      "path": "data/train/p47/oproofs-s00002-r00003800-n000004-0000-899166b27d170380.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "899166b27d17038027f5a013160637f233c90685b4f116789defa07775efbce3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003804-n000004.json b/manifests/batches/oproofs/s00002-r00003804-n000004.json
index d5563ae062c3fa71fc30731b78e82e5b26d431c5..f6a5965fee888b1e0f3ece2a055e92e61a84194a 100644
--- a/manifests/batches/oproofs/s00002-r00003804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003804-n000004",
   "batch_fingerprint": "eebfcdfe93802010e7b5e0e3435a8cb145a71787152dd031ac94d2be45757d92",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003804-n000004-0000-76d2050cd0468e60.parquet",
-      "sha256": "76d2050cd0468e60d33bc7fc43da74832995598f23b49ac428768021999768d5",
-      "bytes": 162806,
-      "rows": 9,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003804-n000004-0000-22876138be9153f2.parquet",
-      "sha256": "22876138be9153f27fd599e322d86599db30ddd320ecf2c1c5f2a22173b33b10",
-      "bytes": 1175490,
-      "rows": 22,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3805",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003805.lean\",\"14361d60b47b7d088bd7f86650b87438d7dec0ccf1a4bfb58497ba38b3dfdae1\",0,\"lean_workbook_plus_22863\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003806.lean\",\"80158b9527652f0a7b44e8601a59251380bd14258e80cb81e112611f0c616abb\",0,\"lean_workbook_plus_25151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003807.lean\",\"156026564bc405301400f6a89bfab25c1152694e81717943e73572f81e3e3a5c\",0,\"lean_workbook_plus_25763\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162806,
+      "path": "data/train/p59/oproofs-s00002-r00003804-n000004-0000-76d2050cd0468e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "76d2050cd0468e60d33bc7fc43da74832995598f23b49ac428768021999768d5"
+    },
+    {
+      "bytes": 1175490,
+      "path": "data/internal_test/p59/oproofs-s00002-r00003804-n000004-0000-22876138be9153f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "22876138be9153f27fd599e322d86599db30ddd320ecf2c1c5f2a22173b33b10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003808-n000004.json b/manifests/batches/oproofs/s00002-r00003808-n000004.json
index b449b03ab67f5e28839970466b1381acd2cc719b..3472306a86e9451a57dd4549c7dcf814c0f47b21 100644
--- a/manifests/batches/oproofs/s00002-r00003808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003808-n000004",
   "batch_fingerprint": "960e2eb3680cc7db821c0239fef29016d437fed4c154e6281e2b272bd2545285",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003808-n000004-0000-469dd017ae34fea2.parquet",
-      "sha256": "469dd017ae34fea2f0adb7059c0816df5973eb35b4185d71cb698cca030d7fb7",
-      "bytes": 1111704,
-      "rows": 20,
-      "revision": "06e6412f50e2d3b8beb8b381925d2d87ac420f4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003809.lean\",\"0325a30275eafa3be089da0fa2a201b101d89843a2defc57e1793d1157214709\",0,\"lean_workbook_plus_25915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003810.lean\",\"1bcd14ea29f228ce583e6ab9f4ae458c375a56135999615827e470e4792dd99d\",0,\"lean_workbook_plus_25391\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003811.lean\",\"437f462d417db454d9839552db2d56488ca55510adf8e5688859163c1f7649aa\",0,\"lean_workbook_plus_230\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1111704,
+      "path": "data/train/p06/oproofs-s00002-r00003808-n000004-0000-469dd017ae34fea2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "469dd017ae34fea2f0adb7059c0816df5973eb35b4185d71cb698cca030d7fb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003812-n000004.json b/manifests/batches/oproofs/s00002-r00003812-n000004.json
index d1b4edebf83d38a037cd43710743c1f5b3f9461e..4adba95273aa8d0285c2af6a886872a095202b6a 100644
--- a/manifests/batches/oproofs/s00002-r00003812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003812-n000004",
   "batch_fingerprint": "25b6d0ff6893a1894bac5f8b24e8d6abd52bbc810598bc62d342bca7e4981553",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003812-n000004-0000-4052b7f50c493290.parquet",
-      "sha256": "4052b7f50c493290456fb8808cab3cf207d6e8fb62dde4047a79e109ca3de720",
-      "bytes": 216951,
-      "rows": 14,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003813.lean\",\"8e34240d3275815ae04328cc103adc77e8bc33b9bc80ecd06ede2e243f91b8be\",0,\"lean_workbook_plus_25741\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003814.lean\",\"d18b3404d71dc5379d9b800cda527085d4c53dc1135c1a6609dde3f2800e6306\",0,\"lean_workbook_plus_26042\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003815.lean\",\"11f4136b875640455cfe8cdadb0fe34bcf8713c2bb9b9ac77b58454508f10fe7\",0,\"lean_workbook_plus_25229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216951,
+      "path": "data/train/p22/oproofs-s00002-r00003812-n000004-0000-4052b7f50c493290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4052b7f50c493290456fb8808cab3cf207d6e8fb62dde4047a79e109ca3de720"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003816-n000004.json b/manifests/batches/oproofs/s00002-r00003816-n000004.json
index bca99788c4b8a25becbe6fe453d8ca1ab1b72ae5..0d5e71198215cbbdf0989624aa0619964714bb91 100644
--- a/manifests/batches/oproofs/s00002-r00003816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003816-n000004",
   "batch_fingerprint": "6be7592e4a1740503170c052003fb8b4bac5c525f54c85f0351550994d429818",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003816-n000004-0000-13e001e499665ded.parquet",
-      "sha256": "13e001e499665ded74e7a78350d2c4392475d40e16019d8b99f874a13f28c721",
-      "bytes": 61277,
-      "rows": 8,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003816-n000004-0000-0ba9bf31d8be93d6.parquet",
-      "sha256": "0ba9bf31d8be93d68b42694eb4f76897cb7c4eea4a5c6c024ca45f36cd9edf91",
-      "bytes": 40603,
-      "rows": 2,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3817",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003817.lean\",\"dedd6822d37a4d03b94461bdb51e9e8fb388fed88c65203b31cbd8d22dffe31a\",0,\"lean_workbook_plus_26136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003818.lean\",\"4de8e3ddd5534a3e79f273040b8945548d3c86034e209091cc3dd3d39ba7f2c5\",0,\"lean_workbook_plus_24184\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003819.lean\",\"fcb58778c773293a9fe882e9f5ae4f50d587d2553ee17d620911ab1da5e837f6\",0,\"lean_workbook_plus_2613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61277,
+      "path": "data/train/p48/oproofs-s00002-r00003816-n000004-0000-13e001e499665ded.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "13e001e499665ded74e7a78350d2c4392475d40e16019d8b99f874a13f28c721"
+    },
+    {
+      "bytes": 40603,
+      "path": "data/dev/p48/oproofs-s00002-r00003816-n000004-0000-0ba9bf31d8be93d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0ba9bf31d8be93d68b42694eb4f76897cb7c4eea4a5c6c024ca45f36cd9edf91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003820-n000004.json b/manifests/batches/oproofs/s00002-r00003820-n000004.json
index 91726d73270030189c3c816abfcd68ec65d73d3e..7cfe12787b76f30bb84038a4fecbef73de8efce8 100644
--- a/manifests/batches/oproofs/s00002-r00003820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003820-n000004",
   "batch_fingerprint": "8e4f8c5687feeda024d8aa34eb7122b21ff47dc641cbcbffccc569944d1b8234",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003820-n000004-0000-bf512b1b6e95071e.parquet",
-      "sha256": "bf512b1b6e95071e87e1436874f878e9804a087ad0e94bbe80bd5b66aaa4040d",
-      "bytes": 221622,
-      "rows": 10,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003820-n000004-0000-150108ef89c51521.parquet",
-      "sha256": "150108ef89c51521c36d30defd650222465d9eb75c06ae122da9ea354ea55da2",
-      "bytes": 55321,
-      "rows": 6,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3821",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003821.lean\",\"d06fa39ddad9cbf4eee59e0440b0f4048c3db30b5ed56ca6bd494412532ec6b7\",0,\"lean_workbook_plus_26023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003822.lean\",\"d36f4d1bc5d06c69a9400decf5c9607f8b9a37eb767dd511fd70b1e469137f87\",0,\"lean_workbook_plus_26119\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003823.lean\",\"7ac5e2144cecd3fdff2c054045000f55fe84a49d4b274d35192a32fa9a52b7f9\",0,\"lean_workbook_plus_25414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221622,
+      "path": "data/train/p25/oproofs-s00002-r00003820-n000004-0000-bf512b1b6e95071e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bf512b1b6e95071e87e1436874f878e9804a087ad0e94bbe80bd5b66aaa4040d"
+    },
+    {
+      "bytes": 55321,
+      "path": "data/internal_test/p25/oproofs-s00002-r00003820-n000004-0000-150108ef89c51521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "150108ef89c51521c36d30defd650222465d9eb75c06ae122da9ea354ea55da2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003824-n000004.json b/manifests/batches/oproofs/s00002-r00003824-n000004.json
index e92dcd80d13ccab15f4692021b4bf71665b53486..e989414e89c527422ed35cb7610e5f6e6895b67d 100644
--- a/manifests/batches/oproofs/s00002-r00003824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003824-n000004",
   "batch_fingerprint": "c255c98a8eb2a531be3cf311ed138d2a582dbb249b0409700067f47d1980044e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003824-n000004-0000-4fa1a59911bba2ca.parquet",
-      "sha256": "4fa1a59911bba2cac6b3e97a6d6e15ac0115d7fc0d4545272424d19fbae217b1",
-      "bytes": 375730,
-      "rows": 20,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3825",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003825.lean\",\"b545572fcff32174025256583e13771488b3736710397a65160c0d92b0c07ca4\",0,\"lean_workbook_plus_25809\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003826.lean\",\"24fddca64c56350cad9725de394b413246dcca2f9980b8dfb610c1322e102710\",0,\"lean_workbook_plus_25721\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003827.lean\",\"e0956d05e8ac549f63bf7b933fd11d9304ab2789ee5afd72f4c4fa053ec84b7f\",0,\"lean_workbook_plus_2618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375730,
+      "path": "data/train/p9f/oproofs-s00002-r00003824-n000004-0000-4fa1a59911bba2ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "4fa1a59911bba2cac6b3e97a6d6e15ac0115d7fc0d4545272424d19fbae217b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003828-n000004.json b/manifests/batches/oproofs/s00002-r00003828-n000004.json
index 81e35b0f6e8c8d3a5e5921b4cd09f03b70e9d5ce..b40e5ddb172dfe0a75c2d420496b4484a340f280 100644
--- a/manifests/batches/oproofs/s00002-r00003828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003828-n000004",
   "batch_fingerprint": "ba6a220f4ba9e7adc2176f547ce9e194c2488e549fb55e5a6eb71d8a381b8492",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003828-n000004-0000-9530a8e1ca1db14d.parquet",
-      "sha256": "9530a8e1ca1db14dfeddd5c54c391cd236e6b85ccda5265cde07816ecb8a08f0",
-      "bytes": 639237,
-      "rows": 19,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003829.lean\",\"7800f7893f6c1ff0835c4d827707a6c5c55d199d6862c4daf836ae0ab8fd8990\",0,\"lean_workbook_plus_25516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003830.lean\",\"d2ca11d23bd9abea60a371437e7c024db849be1db7396e388b591aa4856b0ea3\",0,\"lean_workbook_plus_24964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003831.lean\",\"696d353b2d8704319ec1125a30561065dc8d428bd3b31c6e8e39de46f9e720ad\",0,\"lean_workbook_plus_25644\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 639237,
+      "path": "data/train/p8a/oproofs-s00002-r00003828-n000004-0000-9530a8e1ca1db14d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9530a8e1ca1db14dfeddd5c54c391cd236e6b85ccda5265cde07816ecb8a08f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003832-n000004.json b/manifests/batches/oproofs/s00002-r00003832-n000004.json
index 65a4805a06614ee1d009d4cbfeef1b35141953ab..b1ee57e4b0b820d90d8632fac6dbd3ef7f31620e 100644
--- a/manifests/batches/oproofs/s00002-r00003832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003832-n000004",
   "batch_fingerprint": "0cb122ff0d4c4f15402d3c5fc03919982e54b17fe2e24db354a8ed4e471c5572",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003832-n000004-0000-ac17323e57dd9a55.parquet",
-      "sha256": "ac17323e57dd9a553044c3f742389baee64a197a1388d283be0248552f18f570",
-      "bytes": 218928,
-      "rows": 15,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003833.lean\",\"cfda2f62b247b584725bd2d387649195f2f4f5f0b84b18119a0d7b958b184fe1\",0,\"lean_workbook_plus_25992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003834.lean\",\"b26716da5820e973fb2cf67f21e1df0f7b06179b76eafbdaf032dc9c2a7d70d5\",0,\"lean_workbook_plus_26014\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003835.lean\",\"2a270ca36545316d9984d442cd9314407521df0ea801005335aca21b3a105856\",0,\"lean_workbook_plus_24760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218928,
+      "path": "data/train/p73/oproofs-s00002-r00003832-n000004-0000-ac17323e57dd9a55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ac17323e57dd9a553044c3f742389baee64a197a1388d283be0248552f18f570"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003836-n000004.json b/manifests/batches/oproofs/s00002-r00003836-n000004.json
index 36e09a526c493e96072f79e9ee1e2eac7763cef5..1671b72c601128caa643e60240152c1c39e19e67 100644
--- a/manifests/batches/oproofs/s00002-r00003836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003836-n000004",
   "batch_fingerprint": "3a31e4109c8dadf8cfcd27a0340b47a4b515a7faf9e7adb65c85579c8e385cdb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003836-n000004-0000-e26a34bbdf83f487.parquet",
-      "sha256": "e26a34bbdf83f487c17f19bda34d3acca918c3a370353d5582104af766eada8d",
-      "bytes": 164409,
-      "rows": 13,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003836-n000004-0000-2d2ba1ca18b192b7.parquet",
-      "sha256": "2d2ba1ca18b192b754addee727b18734f6b3427b8c33d13f3f4f622d5380bea9",
-      "bytes": 82607,
-      "rows": 3,
-      "revision": "9b5d91aba7e5394e78714900c89a620b5518f878"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003837.lean\",\"5d52aac205ab3f7e2cd8d0cf74677dc958733319ddc19680b3328a4d11dc4286\",0,\"lean_workbook_plus_26239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003838.lean\",\"e3b94b5bf5fa3d9dbcb9e4000cdfa503f07570f11021119cec7322de6d69fdaa\",0,\"lean_workbook_plus_25285\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003839.lean\",\"e256f8a37cf793e5f924b8c3794dda553a0f866b1128e4955e74e89b5a799a05\",0,\"lean_workbook_plus_25571\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164409,
+      "path": "data/train/pe3/oproofs-s00002-r00003836-n000004-0000-e26a34bbdf83f487.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e26a34bbdf83f487c17f19bda34d3acca918c3a370353d5582104af766eada8d"
+    },
+    {
+      "bytes": 82607,
+      "path": "data/internal_test/pe3/oproofs-s00002-r00003836-n000004-0000-2d2ba1ca18b192b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2d2ba1ca18b192b754addee727b18734f6b3427b8c33d13f3f4f622d5380bea9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003840-n000004.json b/manifests/batches/oproofs/s00002-r00003840-n000004.json
index 5547bf2d257ebdea2a94dfc10ec7b00d3c9741a9..fea8e634c95aeeaf20d06b1bef1235d3936c4d11 100644
--- a/manifests/batches/oproofs/s00002-r00003840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003840-n000004",
   "batch_fingerprint": "c87bc67bb1537537314a0063b886a82311f5a5f0b90bebe8733693a3d5bbf2c3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003840-n000004-0000-e60417d2aa9bca24.parquet",
-      "sha256": "e60417d2aa9bca24864762747425aaa2192bdd16fd8aecf35322aa1da97f9ae2",
-      "bytes": 200745,
-      "rows": 18,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003841.lean\",\"542cc0310263cedbed7ebcf288499ad9fa85768645ebd865cc36d6e4bbc89d6c\",0,\"lean_workbook_plus_26180\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003842.lean\",\"792d0cf4351e17eafdcff5f10bcfa51111ba2a25669c7c8478a3e269d0666931\",0,\"lean_workbook_plus_26292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003843.lean\",\"ecc7b44329b4d9105de99a751e99d574d1fec81ec0062d9077d937245b7a1f8b\",0,\"lean_workbook_plus_25845\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200745,
+      "path": "data/train/pab/oproofs-s00002-r00003840-n000004-0000-e60417d2aa9bca24.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e60417d2aa9bca24864762747425aaa2192bdd16fd8aecf35322aa1da97f9ae2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003844-n000004.json b/manifests/batches/oproofs/s00002-r00003844-n000004.json
index 45aa61ae9ebd4784c543f2eae0e695e7be0cfff2..25ff7b668f700eb542cc2280d24da6722e8e85bb 100644
--- a/manifests/batches/oproofs/s00002-r00003844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003844-n000004",
   "batch_fingerprint": "4432b2be578035d98ff9b5af7bd706457cc0572a0886a70bb5049c4b53250ae3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003844-n000004-0000-9195aa6ba6e1e8a4.parquet",
-      "sha256": "9195aa6ba6e1e8a4b7386613d2d8dbe0d801384c8f15ccfbdc55a00770d1ddf3",
-      "bytes": 137381,
-      "rows": 13,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003844-n000004-0000-9055cff3b6c87add.parquet",
-      "sha256": "9055cff3b6c87add4eb5b5459ecb8a2b8aa6d51a1635f33907fc3882a5fc647f",
-      "bytes": 30399,
-      "rows": 2,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003845.lean\",\"1873730e042f57fde0d9de2d297f475aa31dee6aaeece5837741306101fdebf7\",0,\"lean_workbook_plus_26300\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003846.lean\",\"7446f5e79f8caada788079cbd560d62d3c3f041fca992c71e82e6dd0a3035dc9\",0,\"lean_workbook_plus_25909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003847.lean\",\"7c5753836b20f0a4c512f64c37118bf104d8b4cd2426836d73acb0174933a6c9\",0,\"lean_workbook_plus_26167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137381,
+      "path": "data/train/pc5/oproofs-s00002-r00003844-n000004-0000-9195aa6ba6e1e8a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9195aa6ba6e1e8a4b7386613d2d8dbe0d801384c8f15ccfbdc55a00770d1ddf3"
+    },
+    {
+      "bytes": 30399,
+      "path": "data/internal_test/pc5/oproofs-s00002-r00003844-n000004-0000-9055cff3b6c87add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9055cff3b6c87add4eb5b5459ecb8a2b8aa6d51a1635f33907fc3882a5fc647f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003848-n000004.json b/manifests/batches/oproofs/s00002-r00003848-n000004.json
index 438d2ffd07b1d41042d55da642f6408014d516cf..c61e030a5b0c0cbeb601605ab9bd4810325f95fe 100644
--- a/manifests/batches/oproofs/s00002-r00003848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003848-n000004",
   "batch_fingerprint": "a15f2f177017d70725eace2ae1f31046f7b3eab7012a7d3e1a1b3469ac7f43a5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003848-n000004-0000-f36537db59f52926.parquet",
-      "sha256": "f36537db59f5292652ab450149f7fd17feb54a6ffe5491026c3244eea8054532",
-      "bytes": 218820,
-      "rows": 23,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003849.lean\",\"e04bab0319b85522540bbb61a5197169e06abaa03548cdc883667b98a93518e6\",0,\"lean_workbook_plus_25756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003850.lean\",\"d334971779f3713b56f1bfee2e645b7bf88c643287dc7e5acc69473042cb9ddd\",0,\"lean_workbook_plus_26060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003851.lean\",\"79fda0b70596b96b8b972530909fe69017f36d78bf0cb796c5b946831ec58847\",0,\"lean_workbook_plus_25674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218820,
+      "path": "data/train/p64/oproofs-s00002-r00003848-n000004-0000-f36537db59f52926.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f36537db59f5292652ab450149f7fd17feb54a6ffe5491026c3244eea8054532"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003852-n000004.json b/manifests/batches/oproofs/s00002-r00003852-n000004.json
index 52fe2445be534080705a5bc2417815b7f3e810f0..533b83da656c26917f3908458cde11334453081b 100644
--- a/manifests/batches/oproofs/s00002-r00003852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003852-n000004",
   "batch_fingerprint": "f6b65ae95da2d7b37a53f841402d28f7c165c2648f843e01d2bad5011ba15efc",
   "evidence": {
@@ -28,22 +27,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003852-n000004-0000-49a22690f3956621.parquet",
-      "sha256": "49a22690f3956621c3528ac74a8560e7c9dd72f0555de70ebabd08f9ef29883b",
-      "bytes": 141376,
-      "rows": 12,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/quarantine/oproofs-s00002-r00003852-n000004-0000-ee3d3006f6f3c28e.parquet",
-      "sha256": "ee3d3006f6f3c28e5173e74866c902a2b9869a2016f50997235eb7fbd4b3fc6d",
-      "bytes": 91966,
-      "rows": 6,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3853",
@@ -55,5 +39,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003853.lean\",\"38d96d196c99203d2885fc3eb8ae850c2893a4678a2f7bfc94226976c7e94d21\",0,\"lean_workbook_plus_26356\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003854.lean\",\"91a9db30647639aacd31b3d7649ad93639c51f0d0a9cd42d3e65c871b420eed2\",0,\"lean_workbook_plus_26357\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003855.lean\",\"7b4bc1ae987aadc5c97db6f7124141168eff89eceb442409d9999e34105ab994\",0,\"lean_workbook_plus_26263\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141376,
+      "path": "data/train/pe6/oproofs-s00002-r00003852-n000004-0000-49a22690f3956621.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "49a22690f3956621c3528ac74a8560e7c9dd72f0555de70ebabd08f9ef29883b"
+    },
+    {
+      "bytes": 91966,
+      "path": "data/quarantine/pe6/oproofs-s00002-r00003852-n000004-0000-ee3d3006f6f3c28e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ee3d3006f6f3c28e5173e74866c902a2b9869a2016f50997235eb7fbd4b3fc6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003856-n000004.json b/manifests/batches/oproofs/s00002-r00003856-n000004.json
index 6935c8fe77ee5529e2f3b1d8e5b35deac46f4fe2..23b58295bd977032e4287b3791eb1827a7cb94f9 100644
--- a/manifests/batches/oproofs/s00002-r00003856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003856-n000004",
   "batch_fingerprint": "0513d22ecea518a3ab4ea81a1e895c1ac53c0ac4f09b20b542104dbd1f20b7bd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003856-n000004-0000-33165ce838ce7b72.parquet",
-      "sha256": "33165ce838ce7b72b0db0206841e69677bf4946adc42b4f86d03db53200fbde6",
-      "bytes": 192065,
-      "rows": 16,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003857.lean\",\"56d1a2ff8a830a4935e75139ec4292d7c2edd699ae163e8c391de75624b307d6\",0,\"lean_workbook_plus_24340\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003858.lean\",\"1c84662d04f6cc0532826b42f2b47fa4637c5c188856ed44b467804c67f69d4f\",0,\"lean_workbook_plus_2638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003859.lean\",\"00188dd27ae6954571d0eee94791c1a3e57a6eaa617fd76fa255c159eebae403\",0,\"lean_workbook_plus_26222\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192065,
+      "path": "data/train/p17/oproofs-s00002-r00003856-n000004-0000-33165ce838ce7b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "33165ce838ce7b72b0db0206841e69677bf4946adc42b4f86d03db53200fbde6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003860-n000004.json b/manifests/batches/oproofs/s00002-r00003860-n000004.json
index 6c549489128ecbf0bc579cf61d2762b3a13e6951..0e2a75c143872b4ecbc9bb571597ff0cf77e1af9 100644
--- a/manifests/batches/oproofs/s00002-r00003860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003860-n000004",
   "batch_fingerprint": "9e68b701123d9709caded1c856817cafe02074f843f0f59aa9762e52049ab07f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003860-n000004-0000-e6441c1f692467ee.parquet",
-      "sha256": "e6441c1f692467ee24ad7edfe69e7b893f4f24e80de5aa7df3b2c7564f64b3fa",
-      "bytes": 160075,
-      "rows": 15,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003860-n000004-0000-c07704eefdc8c060.parquet",
-      "sha256": "c07704eefdc8c0602cc4960a7e1e2a0308a54cb17627a79b03861cf6de907177",
-      "bytes": 74724,
-      "rows": 3,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003861.lean\",\"ba834f94d241ecc10429b1021c592b46e3a08e9e0a83c8187842e74389bb9ada\",0,\"lean_workbook_plus_26358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003862.lean\",\"925db056242392749f570580baff234a9d9c5346543b19ea96e56e055759cc3b\",0,\"lean_workbook_plus_2620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003863.lean\",\"30647328af5ae69af43578b3fb199ed3a2b41a7f0f010f667f182710a5b7a031\",0,\"lean_workbook_plus_26298\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160075,
+      "path": "data/train/p96/oproofs-s00002-r00003860-n000004-0000-e6441c1f692467ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e6441c1f692467ee24ad7edfe69e7b893f4f24e80de5aa7df3b2c7564f64b3fa"
+    },
+    {
+      "bytes": 74724,
+      "path": "data/internal_test/p96/oproofs-s00002-r00003860-n000004-0000-c07704eefdc8c060.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c07704eefdc8c0602cc4960a7e1e2a0308a54cb17627a79b03861cf6de907177"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003864-n000004.json b/manifests/batches/oproofs/s00002-r00003864-n000004.json
index 64c1f746f319bffecc6fea3eb427b977a6959960..75c22f3856ba146ea086c24b27dbf7401b1ec8f8 100644
--- a/manifests/batches/oproofs/s00002-r00003864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003864-n000004",
   "batch_fingerprint": "e36a1398e968e7bab0e46aaac3d6c5e2e62265914fe4bb82c82184a3dd3834b5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003864-n000004-0000-ba562fcde812b821.parquet",
-      "sha256": "ba562fcde812b82148d1cb11f295caaeeb3a07835015fb830976fcc383e9c05a",
-      "bytes": 627037,
-      "rows": 14,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003864-n000004-0000-b51b8730f9ede9d1.parquet",
-      "sha256": "b51b8730f9ede9d13947e509310ab28c0d115dc1c4463448776bda495a5879a0",
-      "bytes": 103490,
-      "rows": 10,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003865.lean\",\"e3e0fa9240176cda68841c065b0135d7f9f2525113efc65b59f272a1b6349eb7\",0,\"lean_workbook_plus_26368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003866.lean\",\"c306e0550ad78c8a7a46e869e07bd32b49445b534ac6c4617286bb56ead761c7\",0,\"lean_workbook_plus_2433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003867.lean\",\"d924c1dfa5c7ee136021886ea6d7674fdcf5128f93a36a6f514bca1b15035441\",0,\"lean_workbook_plus_26353\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 627037,
+      "path": "data/train/p64/oproofs-s00002-r00003864-n000004-0000-ba562fcde812b821.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ba562fcde812b82148d1cb11f295caaeeb3a07835015fb830976fcc383e9c05a"
+    },
+    {
+      "bytes": 103490,
+      "path": "data/internal_test/p64/oproofs-s00002-r00003864-n000004-0000-b51b8730f9ede9d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b51b8730f9ede9d13947e509310ab28c0d115dc1c4463448776bda495a5879a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003868-n000004.json b/manifests/batches/oproofs/s00002-r00003868-n000004.json
index 049acea65491058c5f89fa0af12a52140f958029..c0f18b0eb2d72f35570c6e0e505ecd5bfdc04821 100644
--- a/manifests/batches/oproofs/s00002-r00003868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003868-n000004",
   "batch_fingerprint": "520be95d09de08b5d3d26d937ae49f86fe4095ba5d13894b9d654076b0b9a17c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003868-n000004-0000-8cfa2839bf782b89.parquet",
-      "sha256": "8cfa2839bf782b89de217513328e44644f818ec877344417ef1b549e8353e2b8",
-      "bytes": 167628,
-      "rows": 14,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003869.lean\",\"97c8635b02cc84df6ce94a00b6c5b45833407fe23ee1a6c0ec2a869236a711ab\",0,\"lean_workbook_plus_2619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003870.lean\",\"2a27230e6721234ee189fa7b6e31a971fd1283f4eaa71b6f52b1b738d0b86558\",0,\"lean_workbook_plus_26398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003871.lean\",\"f6fb9a772ad33f2682e9fa57ac9d65de13ca2806f6c5748893d37aa41f7fbe5e\",0,\"lean_workbook_plus_25787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167628,
+      "path": "data/train/p4d/oproofs-s00002-r00003868-n000004-0000-8cfa2839bf782b89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8cfa2839bf782b89de217513328e44644f818ec877344417ef1b549e8353e2b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003872-n000004.json b/manifests/batches/oproofs/s00002-r00003872-n000004.json
index cc5446f45985671579f879b832457d773fe28e1a..d7e0d2cf594e977da22bad8425ff7214ae0f90ca 100644
--- a/manifests/batches/oproofs/s00002-r00003872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003872-n000004",
   "batch_fingerprint": "2f7dd28a67c0c3ce0c94e6ba243463cbee1f555b1bc0752d5c76e6370a5ead60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003872-n000004-0000-8ab80a2f044d50e1.parquet",
-      "sha256": "8ab80a2f044d50e1bf39a59eefc628f0221ee373ab716712863a947c8358cbf9",
-      "bytes": 300012,
-      "rows": 20,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003873.lean\",\"de502e6a128a1800beb2ccad937fddb63d2eed7dd60da18a6bb98bc6c8e8cf40\",0,\"lean_workbook_plus_25592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003874.lean\",\"2ccf2f5cc19fe5407a81a32befd41836a9ecf0e5630a27e95e1905098de4d525\",0,\"lean_workbook_plus_26407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003875.lean\",\"a50a085a7f7ab2fe465fccb943bc43a59d5716050e318f35a576367534b8baa4\",0,\"lean_workbook_plus_26226\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300012,
+      "path": "data/train/pe9/oproofs-s00002-r00003872-n000004-0000-8ab80a2f044d50e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8ab80a2f044d50e1bf39a59eefc628f0221ee373ab716712863a947c8358cbf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003876-n000004.json b/manifests/batches/oproofs/s00002-r00003876-n000004.json
index 8f88d0144f1b8fa7d7c1f13b4e675c83522c1687..6c0183b792b18510c6a8b81b5f3b34c65b6d1ba9 100644
--- a/manifests/batches/oproofs/s00002-r00003876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003876-n000004",
   "batch_fingerprint": "fcc6daaaad7b297cfe8de8bf020848461b36f34ac47e2ee836d7f6202f37b11a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003876-n000004-0000-700f6d1e24090f6e.parquet",
-      "sha256": "700f6d1e24090f6ebef41aa9d02ff1fe7a8680790dd13ca2b1462130900b869c",
-      "bytes": 255700,
-      "rows": 10,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003876-n000004-0000-9230da28a18a44e8.parquet",
-      "sha256": "9230da28a18a44e8a4c41df9a929625c1c9b3949d6ad97a8d413de7490ca2d0d",
-      "bytes": 199347,
-      "rows": 2,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003877.lean\",\"4ba633d707a1b4ddff3ac46680573707e06bc31cdd13382c2d39762519e40421\",0,\"lean_workbook_plus_26355\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003878.lean\",\"b04b78634781a4fb81655d9f61b5982b4564cc3de8552d0efc2e7d4d962c6571\",0,\"lean_workbook_plus_26272\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003879.lean\",\"979e1eebe9087c826fa7015b2efb37ccf49cca4ccedd0c6082e7044be9df1075\",0,\"lean_workbook_plus_25727\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255700,
+      "path": "data/train/pee/oproofs-s00002-r00003876-n000004-0000-700f6d1e24090f6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "700f6d1e24090f6ebef41aa9d02ff1fe7a8680790dd13ca2b1462130900b869c"
+    },
+    {
+      "bytes": 199347,
+      "path": "data/internal_test/pee/oproofs-s00002-r00003876-n000004-0000-9230da28a18a44e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9230da28a18a44e8a4c41df9a929625c1c9b3949d6ad97a8d413de7490ca2d0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003880-n000004.json b/manifests/batches/oproofs/s00002-r00003880-n000004.json
index 1e9db3da9d484600c8b7fee200c9b08b74af2505..0f64b86b4ba732687f1b06a5d1604a6878b2301f 100644
--- a/manifests/batches/oproofs/s00002-r00003880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003880-n000004",
   "batch_fingerprint": "1ccce8399cdefb936001a7f307ad63f0129d2ba9bf2926e67bdd7cb903dbf6e5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003880-n000004-0000-5197706b00b04c4f.parquet",
-      "sha256": "5197706b00b04c4f37db51bc325e782b29b168474e5751d1c6ab5d448b074b02",
-      "bytes": 408795,
-      "rows": 16,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003880-n000004-0000-67bfa4483963c361.parquet",
-      "sha256": "67bfa4483963c3612ebe6fba2d1e679477ca85687948d0c163ff2cafd2e2c3b9",
-      "bytes": 260191,
-      "rows": 8,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003881.lean\",\"13557a2b571dadfab96a25dfb902de2cc57bf5992eb9054ead29ed5d893c5aa4\",0,\"lean_workbook_plus_25544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003882.lean\",\"439d7525de804fe78c66870a55a70d9793653cb9a9de7ae31caa3fc602acf5ba\",0,\"lean_workbook_plus_26399\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003883.lean\",\"cb7a918133f3eb9f4071c9fdac168e6ef4827d7b3c8e0637290fda6a3927ab81\",0,\"lean_workbook_plus_24971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 408795,
+      "path": "data/train/p30/oproofs-s00002-r00003880-n000004-0000-5197706b00b04c4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5197706b00b04c4f37db51bc325e782b29b168474e5751d1c6ab5d448b074b02"
+    },
+    {
+      "bytes": 260191,
+      "path": "data/internal_test/p30/oproofs-s00002-r00003880-n000004-0000-67bfa4483963c361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "67bfa4483963c3612ebe6fba2d1e679477ca85687948d0c163ff2cafd2e2c3b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003884-n000004.json b/manifests/batches/oproofs/s00002-r00003884-n000004.json
index 252076d3ed4721c8376f5cff7d0b25234289423d..1552b6b2919831f5f527d250c547450cf8a8a994 100644
--- a/manifests/batches/oproofs/s00002-r00003884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003884-n000004",
   "batch_fingerprint": "82f0c601acf22b7b4c488157c676495d66386077ea741ae5675426f8a9899917",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003884-n000004-0000-b348852090092abb.parquet",
-      "sha256": "b348852090092abb06513131518cb9a01c4ada07ad55c567d8b8908596eed9f0",
-      "bytes": 458259,
-      "rows": 15,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003885.lean\",\"7038d7550abcb6128bbcf4d1384bdd94406fe47c91d470be260e33ac59b7c97f\",0,\"lean_workbook_plus_26328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003886.lean\",\"b301d79214e5a5afecd9841095043a3f32365209787217373b29b051789b1215\",0,\"lean_workbook_plus_25757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003887.lean\",\"3d3131037bc21f450a1b68d8a1374e5040217c85e0147fffd642e02f6e1379c8\",0,\"lean_workbook_plus_22839\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 458259,
+      "path": "data/train/pbb/oproofs-s00002-r00003884-n000004-0000-b348852090092abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b348852090092abb06513131518cb9a01c4ada07ad55c567d8b8908596eed9f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003888-n000004.json b/manifests/batches/oproofs/s00002-r00003888-n000004.json
index 4652397050672a4e783f3fe82317b0482f77ccad..daf89c69c61378f7e60b32a3d3b994916cbbfddc 100644
--- a/manifests/batches/oproofs/s00002-r00003888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003888-n000004",
   "batch_fingerprint": "43cd627ab664321a5bac057632b4213074e7989ae264ee6826d170862d759a0a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003888-n000004-0000-33ab6b57dc155b4a.parquet",
-      "sha256": "33ab6b57dc155b4a67c04cadb54644bccec4abd70a38e2e80e2f280ec59900d2",
-      "bytes": 417719,
-      "rows": 17,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3889",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003889.lean\",\"c02c130948482ea1ff9c1e8b9ac98663d23a3fdc4a3d13f513c66c1d80d68135\",0,\"lean_workbook_plus_26160\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003890.lean\",\"c3059548906fe84d3fdbeda66639c8c36bdf69a6636a477f2ac747cfb732bdae\",0,\"lean_workbook_plus_24631\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003891.lean\",\"65bc37c59f42b80ab0850031e5ca72cc9c7d87f7a4b85210f3192b88f85eb6f2\",0,\"lean_workbook_plus_25462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417719,
+      "path": "data/train/pd7/oproofs-s00002-r00003888-n000004-0000-33ab6b57dc155b4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "33ab6b57dc155b4a67c04cadb54644bccec4abd70a38e2e80e2f280ec59900d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003892-n000004.json b/manifests/batches/oproofs/s00002-r00003892-n000004.json
index 5f38155c71ff50a8d8cfd315913640e76ddc2fed..e82404b241e9abda9a799afedd02de9d6d06de7d 100644
--- a/manifests/batches/oproofs/s00002-r00003892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003892-n000004",
   "batch_fingerprint": "e3823864aaf213ff09b451486ee7343db3ea0d3b467060fb569b7086cae96faf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003892-n000004-0000-3e1eb7b3b3d1f6fb.parquet",
-      "sha256": "3e1eb7b3b3d1f6fb9550b91059f2e78f1c5c25dc9aa7787e5735264bdb1ffe94",
-      "bytes": 934509,
-      "rows": 22,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003893.lean\",\"e4241b6ee1778499d47310999b9a23f7868ddd93177274425e38a338569d2634\",0,\"lean_workbook_plus_24505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003894.lean\",\"5507bfa00c62b1a331d0203c350e9684c0bb7ce7394b763de92fe7888ae91919\",0,\"lean_workbook_plus_26026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003895.lean\",\"d7df7ba93693bdece0e9b26bac69a28062a15714cc59caf8a90d0e9552129e87\",0,\"lean_workbook_plus_26361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 934509,
+      "path": "data/train/pab/oproofs-s00002-r00003892-n000004-0000-3e1eb7b3b3d1f6fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3e1eb7b3b3d1f6fb9550b91059f2e78f1c5c25dc9aa7787e5735264bdb1ffe94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003896-n000004.json b/manifests/batches/oproofs/s00002-r00003896-n000004.json
index f0593182ab472d185b3e77c5a0211c922a79374c..3edecf173c196c88c463fe7c1da1b9066084604a 100644
--- a/manifests/batches/oproofs/s00002-r00003896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003896-n000004",
   "batch_fingerprint": "7238e1200eb7156aed22b679854184a367b62fff182c8650fe3e642ee38df9a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003896-n000004-0000-2dc71cc3d85d2557.parquet",
-      "sha256": "2dc71cc3d85d25575fe56dc06d1e0a856ca92e94fdd1a79346482d56a7c905de",
-      "bytes": 562240,
-      "rows": 26,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003897.lean\",\"2cf4132936bdb9e6416dfc759248283e03c4a52bf6a2f2090a36b13249f027cb\",0,\"lean_workbook_plus_25929\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003898.lean\",\"1cbd04fe8c9ab8521692b036f268cb0c37d1cfd42c296d641309aefbcf977416\",0,\"lean_workbook_plus_24677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003899.lean\",\"0034f3c2bfa45e6e7eefc3fe754e3649dacb138d2b7c42124e700f787def77a7\",0,\"lean_workbook_plus_25834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 562240,
+      "path": "data/train/pbf/oproofs-s00002-r00003896-n000004-0000-2dc71cc3d85d2557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "2dc71cc3d85d25575fe56dc06d1e0a856ca92e94fdd1a79346482d56a7c905de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003900-n000004.json b/manifests/batches/oproofs/s00002-r00003900-n000004.json
index ad45b95da45dd80bbbc97c06a158fdde00f89ea6..2c4ac80f935a8eb69ad624352a04edb24363b7fe 100644
--- a/manifests/batches/oproofs/s00002-r00003900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003900-n000004",
   "batch_fingerprint": "7a9102dec8590514bd83387a6578892c2d61acf64f3ad1f8d63e2d28e17650d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003900-n000004-0000-92f9a4159845c402.parquet",
-      "sha256": "92f9a4159845c402a5f2fc0dbaa198044c468e69721604bcb5ae960b7de040dd",
-      "bytes": 508820,
-      "rows": 14,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003900-n000004-0000-74264ed439baa3d1.parquet",
-      "sha256": "74264ed439baa3d11cb46cd0c07d20902f135edcc07be7ecfc84a02b353b0458",
-      "bytes": 156539,
-      "rows": 9,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003901.lean\",\"caaddc56d7ead6ea269d48ba92e1c71930f6012ae74983fd448bb873fd460b6d\",0,\"lean_workbook_plus_26083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003902.lean\",\"def338f5fafbf675fd695ff929ce12894b0466f5cffbcde6aa9efb0a7ca3f9fb\",0,\"lean_workbook_plus_25832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003903.lean\",\"a2d1e3d23bfa9855c39c5d4b0174e26aa3e257d93a9074aa1fa004509f1b03b8\",0,\"lean_workbook_plus_26038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 508820,
+      "path": "data/train/p0a/oproofs-s00002-r00003900-n000004-0000-92f9a4159845c402.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "92f9a4159845c402a5f2fc0dbaa198044c468e69721604bcb5ae960b7de040dd"
+    },
+    {
+      "bytes": 156539,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00003900-n000004-0000-74264ed439baa3d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "74264ed439baa3d11cb46cd0c07d20902f135edcc07be7ecfc84a02b353b0458"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003904-n000004.json b/manifests/batches/oproofs/s00002-r00003904-n000004.json
index aa51c99b507dd4ae7db8c76384bcdbf44c80ce63..28d91d2fa111a172689ac20bdfa025d798628b32 100644
--- a/manifests/batches/oproofs/s00002-r00003904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003904-n000004",
   "batch_fingerprint": "8d12ca99c4ac6585c32d3ed7bae2fd5f55cf70e304c8152c6cd8248447ea4be8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003904-n000004-0000-779c7ee4092353bc.parquet",
-      "sha256": "779c7ee4092353bc6195489dd2b6045fcc2ca55f607206dc360d6f297557701e",
-      "bytes": 1105361,
-      "rows": 20,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003904-n000004-0000-3ac3aa2685002b47.parquet",
-      "sha256": "3ac3aa2685002b47485d676600f0e9aaeabaf5d56ea17f769ae9ea339ec2b778",
-      "bytes": 76142,
-      "rows": 4,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003905.lean\",\"6ff35429863b9c4956de7b775ab09c644e99d19b9970720fc98a768af5c386ad\",0,\"lean_workbook_plus_25886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003906.lean\",\"b47fba79673b1b641c7265d23117a9d5dca056d02e6482656f4e953eb93e12f0\",0,\"lean_workbook_plus_2529\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003907.lean\",\"f7b19083751e2eb271fac76379aedc84d2ffd447f1dd5217b6251268c6c8b5e1\",0,\"lean_workbook_plus_24815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1105361,
+      "path": "data/train/p33/oproofs-s00002-r00003904-n000004-0000-779c7ee4092353bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "779c7ee4092353bc6195489dd2b6045fcc2ca55f607206dc360d6f297557701e"
+    },
+    {
+      "bytes": 76142,
+      "path": "data/internal_test/p33/oproofs-s00002-r00003904-n000004-0000-3ac3aa2685002b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3ac3aa2685002b47485d676600f0e9aaeabaf5d56ea17f769ae9ea339ec2b778"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003908-n000004.json b/manifests/batches/oproofs/s00002-r00003908-n000004.json
index b5a05337cf9512dc1d4d04de8a5f216b0843f57b..91ac76be68c5c9d8a4583f2e06de22c94c18c377 100644
--- a/manifests/batches/oproofs/s00002-r00003908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003908-n000004",
   "batch_fingerprint": "fbbab00d3e01778d23841e7c60ceae4c8ccd7eb7a292d6443602617d2855785b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003908-n000004-0000-3a0f26ec8991d925.parquet",
-      "sha256": "3a0f26ec8991d9251c1f38eb8bdb1f52de31c68ce4e14e4888bd894db26f5471",
-      "bytes": 625572,
-      "rows": 17,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003909.lean\",\"9e0e07bd344961bce1a4c0520f78eb18eb52875cafc75049a9947f9090fa864d\",0,\"lean_workbook_plus_25496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003910.lean\",\"d28a0f7399257c86e65df511a502770068fee370a978ba1633e8bfa33393382b\",0,\"lean_workbook_plus_26344\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003911.lean\",\"d6ee1fe7b1fc8477432fd6080bd041e7f3b010d020e7107457e9dd982280fde7\",0,\"lean_workbook_plus_2640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625572,
+      "path": "data/train/p7f/oproofs-s00002-r00003908-n000004-0000-3a0f26ec8991d925.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3a0f26ec8991d9251c1f38eb8bdb1f52de31c68ce4e14e4888bd894db26f5471"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003912-n000004.json b/manifests/batches/oproofs/s00002-r00003912-n000004.json
index 60e611a872503ec6744b01924379c8736c45416f..e321255592910e853e1ac925d85b73d9bc6ca5f2 100644
--- a/manifests/batches/oproofs/s00002-r00003912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003912-n000004",
   "batch_fingerprint": "ffe9ef1036e9af2f006f1b256d6127a4bdc5465b5991391201035cc0dcc33ba5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003912-n000004-0000-2916e38d7fb6faea.parquet",
-      "sha256": "2916e38d7fb6faea27119c0f379e687ad43a4bad43c457480af19a3951874003",
-      "bytes": 1052548,
-      "rows": 18,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003912-n000004-0001-062384e41880d7d9.parquet",
-      "sha256": "062384e41880d7d9a2cf362bb0e6900e512b21e2bf7ae8f8b7117d29cc058b3e",
-      "bytes": 496728,
-      "rows": 6,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003913.lean\",\"0d5d552d95c5b480403e550e111c1684a9d574c209462a9475e0fd033aebfcd1\",0,\"lean_workbook_plus_25509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003914.lean\",\"3b2001a93ad7bceecd01c5aff50445984a0abda56906345722d36b97c4bf3ee8\",0,\"lean_workbook_plus_26074\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003915.lean\",\"6f69b25b2d700fda9bc5938464b1217374e528b44fc330cd459c73b1921d248f\",0,\"lean_workbook_plus_25876\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1052548,
+      "path": "data/train/p7d/oproofs-s00002-r00003912-n000004-0000-2916e38d7fb6faea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2916e38d7fb6faea27119c0f379e687ad43a4bad43c457480af19a3951874003"
+    },
+    {
+      "bytes": 496728,
+      "path": "data/train/p7d/oproofs-s00002-r00003912-n000004-0001-062384e41880d7d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "062384e41880d7d9a2cf362bb0e6900e512b21e2bf7ae8f8b7117d29cc058b3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003916-n000004.json b/manifests/batches/oproofs/s00002-r00003916-n000004.json
index c48054e4e8ceb7f075ecf42a1e3075ab0cef04c4..3415274f9b42d5fdfe53c762e1a6f3825ead9c0d 100644
--- a/manifests/batches/oproofs/s00002-r00003916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003916-n000004",
   "batch_fingerprint": "e71f0cbf28d62f589a8fe7106434119c3b434bb0f061bdf981c880fcf49e17b9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003916-n000004-0000-7c43b3d61baf5a96.parquet",
-      "sha256": "7c43b3d61baf5a96bc8f8c3e252f3b3eef2405af6b47fffd9d120ee7aea3db9d",
-      "bytes": 312788,
-      "rows": 9,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003916-n000004-0000-59b6a18f7489c07b.parquet",
-      "sha256": "59b6a18f7489c07b18000260132336973af242768b1d56b82a5c89d2fd46b56d",
-      "bytes": 337438,
-      "rows": 5,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003917.lean\",\"727f0ad702050d549efad46751c9fd3b24f2e5467bfd15669aff3ed72530b74c\",0,\"lean_workbook_plus_26401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003918.lean\",\"94b5d627135033ea16312dfdce2f1a5f7570f08db15c05039a9ec6969c35cc58\",0,\"lean_workbook_plus_23403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003919.lean\",\"f7ea121ea770c750331a4b3edbef102bee96f3955c3d4e512f63b761647eddcb\",0,\"lean_workbook_plus_25891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312788,
+      "path": "data/train/pd1/oproofs-s00002-r00003916-n000004-0000-7c43b3d61baf5a96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7c43b3d61baf5a96bc8f8c3e252f3b3eef2405af6b47fffd9d120ee7aea3db9d"
+    },
+    {
+      "bytes": 337438,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00003916-n000004-0000-59b6a18f7489c07b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "59b6a18f7489c07b18000260132336973af242768b1d56b82a5c89d2fd46b56d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003920-n000004.json b/manifests/batches/oproofs/s00002-r00003920-n000004.json
index 5d75c8aea7c0e5617ece281f44cd19032aa8f062..088b1d6be12595d085991ffdcb8faa58e1d2d65d 100644
--- a/manifests/batches/oproofs/s00002-r00003920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003920-n000004",
   "batch_fingerprint": "2c93c6d116d119cad62c393d5e8793a1cc3b30eb5515940f3a4142236644c8dd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003920-n000004-0000-00b2a3ed48d9775a.parquet",
-      "sha256": "00b2a3ed48d9775abdd5a250d9ec2df44ff6fbe71b2a0bdeb2426e090422f42b",
-      "bytes": 146222,
-      "rows": 5,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003920-n000004-0000-c2d9923078a3910f.parquet",
-      "sha256": "c2d9923078a3910f7e165c4f87217abf0f78409691b7d98e31645294c8bacb16",
-      "bytes": 185184,
-      "rows": 8,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003921.lean\",\"c670fa909b8d256531d3c45d8c218aba47bbd7fd5ae0650511ed84298d59cb85\",0,\"lean_workbook_plus_25873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003922.lean\",\"7a30902b2a7fb214c81430e36bf15cb2ee643fe3b80e8a37f16edd3485ebc917\",0,\"lean_workbook_plus_25829\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003923.lean\",\"68f5cee23ec5c8c872fb56809ed5cdc56423bce24c6c46cb5afcef27a0f7519a\",0,\"lean_workbook_plus_26260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146222,
+      "path": "data/train/p30/oproofs-s00002-r00003920-n000004-0000-00b2a3ed48d9775a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "00b2a3ed48d9775abdd5a250d9ec2df44ff6fbe71b2a0bdeb2426e090422f42b"
+    },
+    {
+      "bytes": 185184,
+      "path": "data/internal_test/p30/oproofs-s00002-r00003920-n000004-0000-c2d9923078a3910f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c2d9923078a3910f7e165c4f87217abf0f78409691b7d98e31645294c8bacb16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003924-n000004.json b/manifests/batches/oproofs/s00002-r00003924-n000004.json
index 013753b7060e7c296fe8e2b2c77bf1306ef0b751..fed4ef00767d4018a94d725f544874ca9426308c 100644
--- a/manifests/batches/oproofs/s00002-r00003924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003924-n000004",
   "batch_fingerprint": "c0e27df4f6f1f74e8fea97f3716656d1f2978879413e599d49072c38735791a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003924-n000004-0000-bb1987c7c7e1872b.parquet",
-      "sha256": "bb1987c7c7e1872b5c55a419188ca324d34a8844573130783c42782aac78ca20",
-      "bytes": 121103,
-      "rows": 6,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003924-n000004-0000-1a4021fd1b894961.parquet",
-      "sha256": "1a4021fd1b894961e809f25bd4d2a81704d005dd1e6c2a4110e5a71544b827ef",
-      "bytes": 845526,
-      "rows": 4,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3925",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003925.lean\",\"d8efcc514739ef8c2e264c19904820149c87196b65916ecbd1d27aa29e31beaa\",0,\"lean_workbook_plus_23678\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003926.lean\",\"5958482522edf6e3cbf6eaebfe943eee144af3aec52b893e0cc04e20ee9d8814\",0,\"lean_workbook_plus_25220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003927.lean\",\"ce0ffc977771d29d226837bac9019d0d2061778b14d6d23dd7f0b1c52508c39e\",0,\"lean_workbook_plus_26141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121103,
+      "path": "data/train/pd1/oproofs-s00002-r00003924-n000004-0000-bb1987c7c7e1872b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bb1987c7c7e1872b5c55a419188ca324d34a8844573130783c42782aac78ca20"
+    },
+    {
+      "bytes": 845526,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00003924-n000004-0000-1a4021fd1b894961.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1a4021fd1b894961e809f25bd4d2a81704d005dd1e6c2a4110e5a71544b827ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003928-n000004.json b/manifests/batches/oproofs/s00002-r00003928-n000004.json
index 8009bee9d3c9021e33df9fdae31539946eff08f8..1e5d65c5f85ec26b413e14127a4fe835ee2005cc 100644
--- a/manifests/batches/oproofs/s00002-r00003928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003928-n000004",
   "batch_fingerprint": "1ff7b64b838bba7454b7a79d31202d75fc8cbbe78e28184d1e6e6097335ebc33",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003928-n000004-0000-e0b55b1546c41323.parquet",
-      "sha256": "e0b55b1546c41323cab3799acaa91ffb5877aa22b974ddad694d60def63bcb7d",
-      "bytes": 385040,
-      "rows": 14,
-      "revision": "ad3606776d5e0de9e54668ca125fec8ed63c2c5c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003929.lean\",\"8395bebed6b11316496b51784257a555f02a0d83ac71b9b9b8b4116e4c9aa969\",0,\"lean_workbook_plus_25465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003930.lean\",\"6c8ab1514ba5d024c17c5f6a2c0bcf6130e6a8e86260bd012ecae1c2b20a9900\",0,\"lean_workbook_plus_25924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003931.lean\",\"793fa173d3d5f736da6a27572ed0ad75922aa3dbdc0cff9d2a484a8bc0444bac\",0,\"lean_workbook_plus_24564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 385040,
+      "path": "data/train/p38/oproofs-s00002-r00003928-n000004-0000-e0b55b1546c41323.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e0b55b1546c41323cab3799acaa91ffb5877aa22b974ddad694d60def63bcb7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003932-n000004.json b/manifests/batches/oproofs/s00002-r00003932-n000004.json
index 99127ac0cd1c8b4eae7be6538ce18e069f3011b7..fd53ae74e6309175dac392c6f70f97815cf135b1 100644
--- a/manifests/batches/oproofs/s00002-r00003932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003932-n000004",
   "batch_fingerprint": "44d58dba4370b089a3bd606600827e7c50faf74ee55a395a88df724a2aaf3082",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003932-n000004-0000-7b8f58cd32a2e557.parquet",
-      "sha256": "7b8f58cd32a2e55767389d7c8c73ebe3a4260c81b1e93c28f677911f1a83e0be",
-      "bytes": 300702,
-      "rows": 13,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003933.lean\",\"1db1235d187d36f111697fcd56e7d409acdec18cd3ac4e75878682aa6e791981\",0,\"lean_workbook_plus_2615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003934.lean\",\"9174d02bdf40ca5592f74fc8f2a3a74a96c6d3ff349d34810b46a1af627ffcac\",0,\"lean_workbook_plus_24307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003935.lean\",\"c7ec8b66eb0373f4822876629446fca60c9b1445d168bd6b2a166d3fd3eef356\",0,\"lean_workbook_plus_23232\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300702,
+      "path": "data/train/pf9/oproofs-s00002-r00003932-n000004-0000-7b8f58cd32a2e557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7b8f58cd32a2e55767389d7c8c73ebe3a4260c81b1e93c28f677911f1a83e0be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003936-n000004.json b/manifests/batches/oproofs/s00002-r00003936-n000004.json
index 0628ffeafbff5b2e77187909a02eaad11ac4d00e..7d140c700fd7e5766f4ad785aeb2d8a8b75ffed5 100644
--- a/manifests/batches/oproofs/s00002-r00003936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003936-n000004",
   "batch_fingerprint": "6a16d4768b68b2cfcc9aefae94fc21ced024a3e51bcb758218b5eaae5f3c9654",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003936-n000004-0000-d3ffaac6c323c2bf.parquet",
-      "sha256": "d3ffaac6c323c2bfa03b7683cbffabf21869411de73fab5b5c08908a3f1ff260",
-      "bytes": 901741,
-      "rows": 17,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003936-n000004-0000-aa1e409255a1e3b3.parquet",
-      "sha256": "aa1e409255a1e3b3e5514c1eff58bc1ab74a05407edcd54041efaeb5ce4cf2d1",
-      "bytes": 192627,
-      "rows": 5,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003937.lean\",\"1b67d436e1e06d5537c8a38dd46d0de4d2121c24ecfee6429366f723c7480a33\",0,\"lean_workbook_plus_26019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003938.lean\",\"799c2b0031207a5397be023431cfe03b927de6033e56726890e478817e8d1fe4\",0,\"lean_workbook_plus_23395\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003939.lean\",\"b1631a0b1dc5c92e78023b4ef43c12576d99e53c7fb38eee850b0104109fc900\",0,\"lean_workbook_plus_25941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 901741,
+      "path": "data/train/p4f/oproofs-s00002-r00003936-n000004-0000-d3ffaac6c323c2bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d3ffaac6c323c2bfa03b7683cbffabf21869411de73fab5b5c08908a3f1ff260"
+    },
+    {
+      "bytes": 192627,
+      "path": "data/internal_test/p4f/oproofs-s00002-r00003936-n000004-0000-aa1e409255a1e3b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "aa1e409255a1e3b3e5514c1eff58bc1ab74a05407edcd54041efaeb5ce4cf2d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003940-n000004.json b/manifests/batches/oproofs/s00002-r00003940-n000004.json
index f50bcb6a292c2437e8947027bfe744281100346d..c95ab05ae1a6ec8f6413947aa8ff540e6a43246f 100644
--- a/manifests/batches/oproofs/s00002-r00003940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003940-n000004",
   "batch_fingerprint": "04dafd1ca183b39bededdc2a54c949ec410cd2350783c63218af00920846bf72",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003940-n000004-0000-a79bca795d4e7c81.parquet",
-      "sha256": "a79bca795d4e7c81c5034d42e2de916bd7e40ff164837a83cc9cf248f4eac180",
-      "bytes": 449894,
-      "rows": 13,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003940-n000004-0000-6241bc502497304e.parquet",
-      "sha256": "6241bc502497304eae10ddaa2ee84feccfe8b9e6ab5ac6877a5ebfe8647b8c10",
-      "bytes": 176157,
-      "rows": 10,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003941.lean\",\"beeab450ec705035bf0b8ebb4a5c4884f19ba5be3dbcd61194ad10c389545005\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003942.lean\",\"ba20552422ff6447db89c6a180da67f31e60e24620987b0aa15afc396e568a78\",0,\"exists_real_root\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003943.lean\",\"9945049af1181054b121dbd2715a219304ff6741a67f565cb1957e684e93add3\",0,\"lean_workbook_plus_25532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449894,
+      "path": "data/train/p9c/oproofs-s00002-r00003940-n000004-0000-a79bca795d4e7c81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a79bca795d4e7c81c5034d42e2de916bd7e40ff164837a83cc9cf248f4eac180"
+    },
+    {
+      "bytes": 176157,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00003940-n000004-0000-6241bc502497304e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6241bc502497304eae10ddaa2ee84feccfe8b9e6ab5ac6877a5ebfe8647b8c10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003944-n000004.json b/manifests/batches/oproofs/s00002-r00003944-n000004.json
index e0277ffd4ac51e598f96d2c1a16f128b9ef5b5c9..0134d0abbb89879ef6b728f7f8738e9eb6279e9f 100644
--- a/manifests/batches/oproofs/s00002-r00003944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003944-n000004",
   "batch_fingerprint": "d0cd060eac2de6b8b564fbe0855d4e59ae95b4578d0ebe5a0116612d15846092",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003944-n000004-0000-707d88505c3997cc.parquet",
-      "sha256": "707d88505c3997ccdec99b1310dfa0556e96b8729b2aeb844445f607ea0b5cda",
-      "bytes": 231275,
-      "rows": 8,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003945.lean\",\"b285c663a8c9cbf21cff1af9153cc227837d47bb23bcdc763146b1be45c9efdd\",0,\"lean_workbook_plus_25298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003946.lean\",\"e48731af0bd04a5f6f0772dc351322ea8339b79ff2c334861e57a7636b652bf4\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003947.lean\",\"a901e95287faa9b3589bb5f825071cfd52521797f931db622c4fea70017aa023\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231275,
+      "path": "data/train/p2b/oproofs-s00002-r00003944-n000004-0000-707d88505c3997cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "707d88505c3997ccdec99b1310dfa0556e96b8729b2aeb844445f607ea0b5cda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003948-n000004.json b/manifests/batches/oproofs/s00002-r00003948-n000004.json
index ca3928b7f4971ae8c1d310b42dc0c6bb79723cde..a04e6ebaf2426fe045713ce71b34cb76a16aeb73 100644
--- a/manifests/batches/oproofs/s00002-r00003948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003948-n000004",
   "batch_fingerprint": "ce3ef15786bd52995a995ee4f54a56d6ff0b30590894d45d9fc14eed6753468e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003948-n000004-0000-4ad699c32bb35ad0.parquet",
-      "sha256": "4ad699c32bb35ad0e180bce046776f87516c582274fdd0eb7a561a917b26b3a2",
-      "bytes": 692540,
-      "rows": 19,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3949",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003949.lean\",\"c02282bc486948a83cb676b6b68dc7a59853b86ee908e88ab8a4a85df5e1ea08\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003950.lean\",\"6b317be0d68afcbe05e34007320e48560a9a4c50b6ad63a2d40e3806f9b6e9ff\",0,\"lean_workbook_plus_22786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003951.lean\",\"16793178316b723f90decffa990ac470a95f215e78ba5a35fd46420e7825bc58\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 692540,
+      "path": "data/train/p42/oproofs-s00002-r00003948-n000004-0000-4ad699c32bb35ad0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4ad699c32bb35ad0e180bce046776f87516c582274fdd0eb7a561a917b26b3a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003952-n000004.json b/manifests/batches/oproofs/s00002-r00003952-n000004.json
index 0d33eb2af94dc23e2e4876a9fc7089132483a6b7..6fb825febee35498d57504ff417e27cd784bf33f 100644
--- a/manifests/batches/oproofs/s00002-r00003952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003952-n000004",
   "batch_fingerprint": "f50ec95277e6cc058174f34535ce736b87139d3b0a762b79beb8075931e69028",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003952-n000004-0000-252e68604650be5e.parquet",
-      "sha256": "252e68604650be5e68e0c0270e1c6bb0b3d7bb952293f7c6a64d39c2c7bca771",
-      "bytes": 948230,
-      "rows": 10,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003952-n000004-0000-4cdc23d89fad74df.parquet",
-      "sha256": "4cdc23d89fad74dfdc695bfa0985b28bed5f790a7dffe006bd61d6cc4d68f4b1",
-      "bytes": 87030,
-      "rows": 6,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003953.lean\",\"921d495ad48a6a437de30f22f756e3c56e0407d6964540e1ded13c9e1573e6b2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003954.lean\",\"ee94dc1fe3218279595d7f315d08df7d684ae38df7adb7d3223c1c6e9b227fc6\",0,\"lean_workbook_plus_25552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003955.lean\",\"33991270e5ade2fcc3c3db8102b8c87fe6c42a85bd01d7e7e9d138bf848efe8a\",0,\"exists_min_fancy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 948230,
+      "path": "data/train/p7a/oproofs-s00002-r00003952-n000004-0000-252e68604650be5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "252e68604650be5e68e0c0270e1c6bb0b3d7bb952293f7c6a64d39c2c7bca771"
+    },
+    {
+      "bytes": 87030,
+      "path": "data/dev/p7a/oproofs-s00002-r00003952-n000004-0000-4cdc23d89fad74df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4cdc23d89fad74dfdc695bfa0985b28bed5f790a7dffe006bd61d6cc4d68f4b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003956-n000004.json b/manifests/batches/oproofs/s00002-r00003956-n000004.json
index d257b1c68cc6ab9ff536921561120d23bc86c119..d9091b742dedaede01c5598c8cfbcefab51ff9e8 100644
--- a/manifests/batches/oproofs/s00002-r00003956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003956-n000004",
   "batch_fingerprint": "4d33c462962141eca43969adc3955f3f5d99fd4d3ce775e5f4259912b5093f77",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003956-n000004-0000-a5064fc27b2417aa.parquet",
-      "sha256": "a5064fc27b2417aaa8f7f36fa70b04159d1fac90d5953132bed7faa6e019dc83",
-      "bytes": 371146,
-      "rows": 16,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3957",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003957.lean\",\"2305d1fdf4c0d6a7586479cd1e7820dd8188bcd89be0a15092531ee26c2afa4d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003958.lean\",\"12999ecd116f4df7955f08b15d6cfe7cdd5920d86446e6f9898fe48b9f92d008\",0,\"lean_workbook_plus_24848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003959.lean\",\"dca604697d8e0fe3d0a2fefbb56751e124fb4c9ef84f30ee743d5037cfb18666\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371146,
+      "path": "data/train/pc5/oproofs-s00002-r00003956-n000004-0000-a5064fc27b2417aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a5064fc27b2417aaa8f7f36fa70b04159d1fac90d5953132bed7faa6e019dc83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003960-n000004.json b/manifests/batches/oproofs/s00002-r00003960-n000004.json
index 77f9fd4a914e2cb3279edb117d805e0ad49e1842..e646f0b66523113931d451a31e7dc3fe28636ffc 100644
--- a/manifests/batches/oproofs/s00002-r00003960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003960-n000004",
   "batch_fingerprint": "a424e878221127d42ca84e8e814a46ba3d0234832bea37793cbfa1c2c36f0a0f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003960-n000004-0000-157149f88f28b256.parquet",
-      "sha256": "157149f88f28b25678f43f67cd6d6182a14c3e8ad18721be379ae1a61b836bda",
-      "bytes": 577471,
-      "rows": 20,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003960-n000004-0000-c8b8246288d4df49.parquet",
-      "sha256": "c8b8246288d4df49f73b45e41a5d44bb0602dbdb4a35648e2b8bd348d1afd6aa",
-      "bytes": 415937,
-      "rows": 3,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003961.lean\",\"ec1adcb0015f34959b084befae8fa92860fe26e3b05e85c487a61bdc9eb36f37\",0,\"lean_workbook_plus_22872\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003962.lean\",\"de400b880aeb23ef478350b6fc7df9a1187851493d9ae93afede7cdb28838688\",0,\"lean_workbook_plus_23306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003963.lean\",\"023cd7468875e98147f6f5c85ccae323e57ca6e85089fe60698c1f9150977beb\",0,\"abc_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577471,
+      "path": "data/train/p67/oproofs-s00002-r00003960-n000004-0000-157149f88f28b256.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "157149f88f28b25678f43f67cd6d6182a14c3e8ad18721be379ae1a61b836bda"
+    },
+    {
+      "bytes": 415937,
+      "path": "data/dev/p67/oproofs-s00002-r00003960-n000004-0000-c8b8246288d4df49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c8b8246288d4df49f73b45e41a5d44bb0602dbdb4a35648e2b8bd348d1afd6aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003964-n000004.json b/manifests/batches/oproofs/s00002-r00003964-n000004.json
index e13d4ff891331068cccd6d4598b4f5e347e3c5aa..c432ce406b97a41fc3a999c4d4900d1c13db1884 100644
--- a/manifests/batches/oproofs/s00002-r00003964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003964-n000004",
   "batch_fingerprint": "97104bd23153b1ef0e624b39e4357ebb25999bb338a2593bf8a24e5a4dbe3eed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003964-n000004-0000-8aa762ad26930b7f.parquet",
-      "sha256": "8aa762ad26930b7f32e8a3dd4bab8d019eb6f867967f0f88bd277f6804bdf1d4",
-      "bytes": 1257571,
-      "rows": 21,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00003964-n000004-0001-246531c185f5491d.parquet",
-      "sha256": "246531c185f5491d26b12307ce80e8b12c8843dae99ff2151d3018666b0d3bbb",
-      "bytes": 376050,
-      "rows": 3,
-      "revision": "9ae9955d2c214ea099b8ba4000e6af5cfb0554cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003965.lean\",\"86c41f0e745a458a993c894dae8a46f30a3809f6b8c2d7930490b852c2abbfc3\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003966.lean\",\"7d1a1931ef4bc4c623f66fa99b09d38ba9ba9d84206fe4208d491988a9ed7a11\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003967.lean\",\"286ca27156d1f9186e9be88f1c33d6cd709048e8576dcd1eea2a19f5829364c8\",0,\"lean_workbook_plus_23867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1257571,
+      "path": "data/train/p40/oproofs-s00002-r00003964-n000004-0000-8aa762ad26930b7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8aa762ad26930b7f32e8a3dd4bab8d019eb6f867967f0f88bd277f6804bdf1d4"
+    },
+    {
+      "bytes": 376050,
+      "path": "data/train/p40/oproofs-s00002-r00003964-n000004-0001-246531c185f5491d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "246531c185f5491d26b12307ce80e8b12c8843dae99ff2151d3018666b0d3bbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003968-n000004.json b/manifests/batches/oproofs/s00002-r00003968-n000004.json
index 26b51553581024119fa96fe40044c75dd18811c3..e6b554d86f1332c2b0d6c00defb728ba34b0a825 100644
--- a/manifests/batches/oproofs/s00002-r00003968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003968-n000004",
   "batch_fingerprint": "58ff9d7adf796ebf9851b498969ff72a1499f0955bdf03d869f54f27e1a237a3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003968-n000004-0000-9f954f6731e7058c.parquet",
-      "sha256": "9f954f6731e7058c83109e29e0c896631306cd871dc50013b4fe6dd3666025b6",
-      "bytes": 836115,
-      "rows": 12,
-      "revision": "6b86996a57bb6fc141e7b9ba1d94de66b440ed01"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003968-n000004-0000-f72146a878bb3cbf.parquet",
-      "sha256": "f72146a878bb3cbfd7623ce2c3dc9f7525118400e983bf765208151402633d18",
-      "bytes": 60119,
-      "rows": 2,
-      "revision": "6b86996a57bb6fc141e7b9ba1d94de66b440ed01"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003969.lean\",\"b214a5e7638f884f83b21f131a4dabd53afd9a121b1d52c367fc85d5c623e3a9\",0,\"min_max_P\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003970.lean\",\"178015ccccaa96bebf062084bbd1cf0e2c9ea98d783e4731dd24e0aa98019f7c\",0,\"lean_workbook_plus_25554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003971.lean\",\"4cd49abb27121b20a591d96bfcd8c925e06b851b087306e3178b861da872c9dc\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 836115,
+      "path": "data/train/pd5/oproofs-s00002-r00003968-n000004-0000-9f954f6731e7058c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9f954f6731e7058c83109e29e0c896631306cd871dc50013b4fe6dd3666025b6"
+    },
+    {
+      "bytes": 60119,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00003968-n000004-0000-f72146a878bb3cbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f72146a878bb3cbfd7623ce2c3dc9f7525118400e983bf765208151402633d18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003972-n000004.json b/manifests/batches/oproofs/s00002-r00003972-n000004.json
index 698d97186dcf6975ef1b9a75f5ad0a28f0798d89..5d73eb057d6145d3aa4ee47817806a78cfcd7988 100644
--- a/manifests/batches/oproofs/s00002-r00003972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003972-n000004",
   "batch_fingerprint": "ace289bad6c3ef1d6468ca96e2a1ba7db81219cce50dd185ae5f8b98e1cc9ca5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003972-n000004-0000-63535cd02867c63c.parquet",
-      "sha256": "63535cd02867c63c8e25774beb5b1129cf73804b038f2ad6859eea1097b4cee3",
-      "bytes": 1131712,
-      "rows": 22,
-      "revision": "6b86996a57bb6fc141e7b9ba1d94de66b440ed01"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003972-n000004-0000-e8863be9b86fa568.parquet",
-      "sha256": "e8863be9b86fa5689560f4913794509423e0924071645759671defd5e274b019",
-      "bytes": 309130,
-      "rows": 3,
-      "revision": "6b86996a57bb6fc141e7b9ba1d94de66b440ed01"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003973.lean\",\"0cf70247608efbc5096e05b82840a299d9c2e150eab3c375d1851904ca134c60\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003974.lean\",\"9ebc3d7b38f676c051ab84d7a024baebc5ab66d7d8b0d405cc7668c0ab39afd9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003975.lean\",\"aa4db6f98ca0528e85988d6e480ceaaadd740d543d31ae97a9f448b14376a6da\",0,\"lean_workbook_plus_23177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1131712,
+      "path": "data/train/p1e/oproofs-s00002-r00003972-n000004-0000-63535cd02867c63c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "63535cd02867c63c8e25774beb5b1129cf73804b038f2ad6859eea1097b4cee3"
+    },
+    {
+      "bytes": 309130,
+      "path": "data/dev/p1e/oproofs-s00002-r00003972-n000004-0000-e8863be9b86fa568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e8863be9b86fa5689560f4913794509423e0924071645759671defd5e274b019"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003976-n000004.json b/manifests/batches/oproofs/s00002-r00003976-n000004.json
index b4bc894b67a163c367825590782a30e756bbd796..928f931354ca0c65da4b765ff553d692b58c2db9 100644
--- a/manifests/batches/oproofs/s00002-r00003976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003976-n000004",
   "batch_fingerprint": "5b81295045165149918966439c4ae71f581761cffbb4618c57d236c17524295c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003976-n000004-0000-b87a0fddc47962b1.parquet",
-      "sha256": "b87a0fddc47962b18bc13705220029a1f9ff9cb735dbdcba61f89849d81e974a",
-      "bytes": 117429,
-      "rows": 13,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003977.lean\",\"494185b263ab5c5b2edf46062e64b856c697f822cd84d93928492ef705f235ac\",0,\"lean_workbook_plus_23175\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003978.lean\",\"ebdfd2076eeaf7e2ed51bb9722161e898c2147849054f30900c201e3aeb14154\",0,\"lean_workbook_plus_23005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003979.lean\",\"1972b3f1210e67b8649b6993f8886ebfdc3d2cf1fa368b4f10be8a566f330b96\",0,\"lean_workbook_plus_23341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117429,
+      "path": "data/train/p18/oproofs-s00002-r00003976-n000004-0000-b87a0fddc47962b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b87a0fddc47962b18bc13705220029a1f9ff9cb735dbdcba61f89849d81e974a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003980-n000004.json b/manifests/batches/oproofs/s00002-r00003980-n000004.json
index 4c50ead84abc5f2dd219debe556999c88b4fd1dd..90f0a5f181d24c22432cd1c98b53b56f0e099bf2 100644
--- a/manifests/batches/oproofs/s00002-r00003980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003980-n000004",
   "batch_fingerprint": "98a18322408c0efb386bcf94ff39a730b21f4f6e83b43114d5a7333aa82a3f1c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/oproofs-s00002-r00003980-n000004-0000-4d5a5946f0804ba8.parquet",
-      "sha256": "4d5a5946f0804ba891b8ba2fc3f4c251b00774fad83b694d1114d1367d477d1b",
-      "bytes": 164707,
-      "rows": 13,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003981.lean\",\"e2d11d0836fb90745ded6db8514982a491d1c0232e76d2d19e9150a9ed860413\",0,\"lean_workbook_plus_23151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003982.lean\",\"ca16c070cadc3c1fa2d72118584243b190ebfeaaf78fc40d3eaf40bbb0eb3c79\",0,\"lean_workbook_plus_23412\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003983.lean\",\"65ee7c79d547d1878ced1294eb92e97a165ee2d5a5684c0d0f898d8c9d17899a\",0,\"lean_workbook_plus_22915\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164707,
+      "path": "data/internal_test/p55/oproofs-s00002-r00003980-n000004-0000-4d5a5946f0804ba8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4d5a5946f0804ba891b8ba2fc3f4c251b00774fad83b694d1114d1367d477d1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003984-n000004.json b/manifests/batches/oproofs/s00002-r00003984-n000004.json
index e1b1560b79a4b427e9676edc1e56243d0ce9136f..a98a7dfeb1eabe47913cdb94f4c1781e9b230d2e 100644
--- a/manifests/batches/oproofs/s00002-r00003984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003984-n000004",
   "batch_fingerprint": "5189b06a7f957fcfd5c071a78540a223211f524d44307008f3ca4cc21e401c3e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003984-n000004-0000-20bfa59825eddd8c.parquet",
-      "sha256": "20bfa59825eddd8c710d5fb78d8b6c06f32a4fc52cb3096b025556ed8d1be700",
-      "bytes": 128727,
-      "rows": 20,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003985.lean\",\"f46ff14d4e6dba60e214dc23863e37abd5b005af10d05f27598c24cbea2b4a0d\",0,\"lean_workbook_plus_23556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003986.lean\",\"284dab9951009545555c60f46cb273c0c7e0468bb2bb6c77839bcc202270df66\",0,\"lean_workbook_plus_23480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003987.lean\",\"7b786ee9a5ed5f8beb05b7d41480be99e2662757159a05306d89162abf284d3d\",0,\"lean_workbook_plus_23476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128727,
+      "path": "data/train/p13/oproofs-s00002-r00003984-n000004-0000-20bfa59825eddd8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "20bfa59825eddd8c710d5fb78d8b6c06f32a4fc52cb3096b025556ed8d1be700"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003988-n000004.json b/manifests/batches/oproofs/s00002-r00003988-n000004.json
index 44c19375775e4ec0140494b67b3e6690db410ff2..5912bfdb215150632454acccc3f120cc37273897 100644
--- a/manifests/batches/oproofs/s00002-r00003988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003988-n000004",
   "batch_fingerprint": "caf88107c9e02a5fdca898b38246905e311d022c2ab6fcc7f3e146372e56928f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003988-n000004-0000-9144fbdd5367342b.parquet",
-      "sha256": "9144fbdd5367342beabf3da7fe08bb15b897d8fa7443529831a5e90613e3461f",
-      "bytes": 169641,
-      "rows": 11,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003989.lean\",\"ed07afe47783795f23c8a47788a327a2c7cff03913b90202cde4f6f22390c9f6\",0,\"lean_workbook_plus_23509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003990.lean\",\"d6b9af3903ca55185736dd6b76b650f59518b13496b06d75a0ae074280f65ccc\",0,\"lean_workbook_plus_23349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003991.lean\",\"e43800cf315023bb8190204a9456b7f7abdb29a7298bd999b7f2dda6a7a2d9a7\",0,\"lean_workbook_plus_23610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169641,
+      "path": "data/train/pa6/oproofs-s00002-r00003988-n000004-0000-9144fbdd5367342b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9144fbdd5367342beabf3da7fe08bb15b897d8fa7443529831a5e90613e3461f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003992-n000004.json b/manifests/batches/oproofs/s00002-r00003992-n000004.json
index c78422608c8696292f7aeaa4e553c8f3f712e3cd..6d30215b0aba6425b1693c207f3a3829b61699ac 100644
--- a/manifests/batches/oproofs/s00002-r00003992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003992-n000004",
   "batch_fingerprint": "6b2c37147ce65416fcadb51093811035db3fa19e3c7a2845f5db78db197f2b9c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003992-n000004-0000-334df253ea5ae239.parquet",
-      "sha256": "334df253ea5ae239cf95d6470e6932d88bb6a9aa3dfdea78b7d8aff6708fc604",
-      "bytes": 249037,
-      "rows": 14,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00003992-n000004-0000-7b506681324ba17c.parquet",
-      "sha256": "7b506681324ba17cb06fad67efb1531563cb395c8941049b946bdd33552a992b",
-      "bytes": 116727,
-      "rows": 4,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003993.lean\",\"bfc16351f84fdc45443c1738ddffe68c70c077751e0bb3fe8e662b4b333a0466\",0,\"lean_workbook_plus_2281\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003994.lean\",\"c96dc2961ffc8e9ec395fe6f3b13895ad4685c02b57f411dc15ea50e52178b9b\",0,\"lean_workbook_plus_23430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003995.lean\",\"088c1dd8be5ffe2236e0c50003aee23874d82ad15a763575db9f2b7e4c77dccb\",0,\"lean_workbook_plus_23676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249037,
+      "path": "data/train/pb1/oproofs-s00002-r00003992-n000004-0000-334df253ea5ae239.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "334df253ea5ae239cf95d6470e6932d88bb6a9aa3dfdea78b7d8aff6708fc604"
+    },
+    {
+      "bytes": 116727,
+      "path": "data/dev/pb1/oproofs-s00002-r00003992-n000004-0000-7b506681324ba17c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7b506681324ba17cb06fad67efb1531563cb395c8941049b946bdd33552a992b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00003996-n000004.json b/manifests/batches/oproofs/s00002-r00003996-n000004.json
index 5f66950a9d3209bb8c1a8ed4e842e19aa58b3a37..7e72e888fdeda820db352d7868a5b5345765cb99 100644
--- a/manifests/batches/oproofs/s00002-r00003996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00003996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00003996-n000004",
   "batch_fingerprint": "744e88d6770af72cf2de944b4b48e6a4ecdf51f471c7b5f463ecc2bd28b99b98",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00003996-n000004-0000-3801b9bbb27f2142.parquet",
-      "sha256": "3801b9bbb27f2142e67bc20a4e014181fdd5e0f869adaa4969dffa8da331b2e3",
-      "bytes": 260100,
-      "rows": 20,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:3997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003997.lean\",\"26e0c8a75685f5a3e457d6b91842cf13b61858c459dd576b334d33580ca8711e\",0,\"lean_workbook_plus_23623\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003998.lean\",\"d92ce59ffec1ec48e280cd851d1cb2dca0e56d4393f0f37f2280802f59e0897a\",0,\"lean_workbook_plus_23810\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_003999.lean\",\"3b35e8de72b88b26223478e320c217506f7739cb3d203b7e7a124875539bfcb6\",0,\"lean_workbook_plus_23146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260100,
+      "path": "data/train/p35/oproofs-s00002-r00003996-n000004-0000-3801b9bbb27f2142.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3801b9bbb27f2142e67bc20a4e014181fdd5e0f869adaa4969dffa8da331b2e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004000-n000004.json b/manifests/batches/oproofs/s00002-r00004000-n000004.json
index ee8f8b2e07d96d945079fa0d72c229d8573ac121..ffe16cc446806b5457179cb97f0b5acc3494a5eb 100644
--- a/manifests/batches/oproofs/s00002-r00004000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004000-n000004",
   "batch_fingerprint": "1716925e1a10c13ec01a21037b78bfd706f27c99636aa2049461e52cf2afb1d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004000-n000004-0000-7463a18ed912b8f4.parquet",
-      "sha256": "7463a18ed912b8f465801b7babe82fdddbd745d545f1904528486f4dafb2aaba",
-      "bytes": 137607,
-      "rows": 18,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004001.lean\",\"2502755a103e01402b1e19682e94df968149df9479136c0f727213fdfb45b0c1\",0,\"lean_workbook_plus_23429\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004002.lean\",\"1fc9299c021e488c0e98288e4c0c3118d0bc620093d093c15ad30dbb8fd37a24\",0,\"lean_workbook_plus_2394\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004003.lean\",\"603f0c47ab046245245a8678cd4d7efd6b7f34099ec380d86f750a573efd1ef2\",0,\"lean_workbook_plus_23959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137607,
+      "path": "data/train/pbf/oproofs-s00002-r00004000-n000004-0000-7463a18ed912b8f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7463a18ed912b8f465801b7babe82fdddbd745d545f1904528486f4dafb2aaba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004004-n000004.json b/manifests/batches/oproofs/s00002-r00004004-n000004.json
index b0ec70974251911c6ce0fe7d6c01d94a853d8a94..faac479846c88d82b2a9c4dc4452dc4db7a58edf 100644
--- a/manifests/batches/oproofs/s00002-r00004004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004004-n000004",
   "batch_fingerprint": "bb15de2c27d31ebb7d3e1aa185f2047ba2dbdc31f972b02dd9172528ef97a715",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004004-n000004-0000-9402065e55b92e59.parquet",
-      "sha256": "9402065e55b92e599407d79385ad41cc730057553c01ccd98b39a80ea33c205f",
-      "bytes": 445093,
-      "rows": 20,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004004-n000004-0000-0dc443d2f47f25ac.parquet",
-      "sha256": "0dc443d2f47f25acb3891397bd0a1bb26b802886289d1ccd28d88814c480cc4e",
-      "bytes": 49518,
-      "rows": 2,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004005.lean\",\"857f7b4884b701eaea96879f5deeaf9d8aae4ce1b21c4f766bc038750f12308a\",0,\"lean_workbook_plus_23471\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004006.lean\",\"8a0ee03bfb6e4b5b734b21b2087373e5160249db1ce6417f0f331996a7ee191f\",0,\"lean_workbook_plus_238\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004007.lean\",\"9aff20fbe7c04cba51c078aef74093a51f8df86e28a7f697cd4abac030169ea0\",0,\"lean_workbook_plus_23539\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 445093,
+      "path": "data/train/pe8/oproofs-s00002-r00004004-n000004-0000-9402065e55b92e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9402065e55b92e599407d79385ad41cc730057553c01ccd98b39a80ea33c205f"
+    },
+    {
+      "bytes": 49518,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00004004-n000004-0000-0dc443d2f47f25ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0dc443d2f47f25acb3891397bd0a1bb26b802886289d1ccd28d88814c480cc4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004008-n000004.json b/manifests/batches/oproofs/s00002-r00004008-n000004.json
index c309455b2020b4121ad2e38490581216a5fa65fc..0213493206f4db09e30402ad6e141a6381c4a18e 100644
--- a/manifests/batches/oproofs/s00002-r00004008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004008-n000004",
   "batch_fingerprint": "18f7c0bcf1a9cb8264f94c5b140bc5e20cdcdf7f266c0a2bbc59469750415aa0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004008-n000004-0000-82522c22a8f8d92a.parquet",
-      "sha256": "82522c22a8f8d92ac98bc5c48b3807b4cad41c45bd3e5d5ce4d68a1d0a37c8d6",
-      "bytes": 483510,
-      "rows": 15,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004008-n000004-0000-70d700c1ff98e194.parquet",
-      "sha256": "70d700c1ff98e1949a879bf6e97f05adee64340f8b3447331c193052c997bb2e",
-      "bytes": 71775,
-      "rows": 6,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004009.lean\",\"f2804486081148a9d2a1a2804b21e21e40b4753dca09280eeb3c361b63010489\",0,\"lean_workbook_plus_23966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004010.lean\",\"2e32322f02302498223bcaaf07b78dda36b2e28c5ef9c553946b5752f5e92bee\",0,\"lean_workbook_plus_2398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004011.lean\",\"023e97a64decdb652815134874f624a892a9c5a338183097b373e2584a4e5567\",0,\"lean_workbook_plus_23382\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 483510,
+      "path": "data/train/p8b/oproofs-s00002-r00004008-n000004-0000-82522c22a8f8d92a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "82522c22a8f8d92ac98bc5c48b3807b4cad41c45bd3e5d5ce4d68a1d0a37c8d6"
+    },
+    {
+      "bytes": 71775,
+      "path": "data/internal_test/p8b/oproofs-s00002-r00004008-n000004-0000-70d700c1ff98e194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "70d700c1ff98e1949a879bf6e97f05adee64340f8b3447331c193052c997bb2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004012-n000004.json b/manifests/batches/oproofs/s00002-r00004012-n000004.json
index 43db8f34089e972ac6f1a6ba67eb138edf37ebe1..d3d54a3e2eea0ec37c374f2ce134996b684d580b 100644
--- a/manifests/batches/oproofs/s00002-r00004012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004012-n000004",
   "batch_fingerprint": "0267100c94c5671b1d32ae3aa01788b74a01c12bf4ff45abf143f0d64a9f3ead",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4012",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4013",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4014",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4015"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004012.lean\",\"cc3dfd956b8f84bf1a93deaf82082fa08297048cc88ecff4b25c1a5a283ed267\",0,\"lean_workbook_plus_23071\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004013.lean\",\"4629c98d2901a160968e144a1871eef9c380ba6648361d4b184db11887e5fed1\",0,\"lean_workbook_plus_23420\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004014.lean\",\"f76c9307163030c8969e70adba448a302deae8e7c3103f5a97e28fe377ee7a20\",0,\"lean_workbook_plus_23179\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004015.lean\",\"605cfbe84d93f28675cdd0360820d0d1987bfafd73fbc31690bc8243fc636bb1\",0,\"lean_workbook_plus_24031\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004012-n000004-0000-48e1b146114a99fa.parquet",
-      "sha256": "48e1b146114a99fa13935e7e3a11ab68ac3ebf5763f194d5983193544543f8c3",
       "bytes": 161707,
+      "path": "data/train/p67/oproofs-s00002-r00004012-n000004-0000-48e1b146114a99fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
+      "sha256": "48e1b146114a99fa13935e7e3a11ab68ac3ebf5763f194d5983193544543f8c3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004012-n000004-0000-9d9f54959fa0ee31.parquet",
-      "sha256": "9d9f54959fa0ee31cedcf07bc2e447fc88b889bb4ba0ce3183498105d4daaa0f",
       "bytes": 35808,
+      "path": "data/dev/p67/oproofs-s00002-r00004012-n000004-0000-9d9f54959fa0ee31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
+      "sha256": "9d9f54959fa0ee31cedcf07bc2e447fc88b889bb4ba0ce3183498105d4daaa0f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004012-n000004-0000-77a066f7418d0c6e.parquet",
-      "sha256": "77a066f7418d0c6e922a03fb8784415e5022f9d5544536e0ae1480e3f5dd4780",
       "bytes": 207607,
+      "path": "data/internal_test/p67/oproofs-s00002-r00004012-n000004-0000-77a066f7418d0c6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
+      "sha256": "77a066f7418d0c6e922a03fb8784415e5022f9d5544536e0ae1480e3f5dd4780"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4012",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4013",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4014",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4015"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004012.lean\",\"cc3dfd956b8f84bf1a93deaf82082fa08297048cc88ecff4b25c1a5a283ed267\",0,\"lean_workbook_plus_23071\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004013.lean\",\"4629c98d2901a160968e144a1871eef9c380ba6648361d4b184db11887e5fed1\",0,\"lean_workbook_plus_23420\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004014.lean\",\"f76c9307163030c8969e70adba448a302deae8e7c3103f5a97e28fe377ee7a20\",0,\"lean_workbook_plus_23179\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004015.lean\",\"605cfbe84d93f28675cdd0360820d0d1987bfafd73fbc31690bc8243fc636bb1\",0,\"lean_workbook_plus_24031\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004016-n000004.json b/manifests/batches/oproofs/s00002-r00004016-n000004.json
index 429a83ef20552e4673acd81b7104ab89ef976dd1..7c3eb37e1a50dd6b6066b47edcc6c4c3c0679ecb 100644
--- a/manifests/batches/oproofs/s00002-r00004016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004016-n000004",
   "batch_fingerprint": "8cd0374449fd6f95fb3c30a289ad2627f2b4c413247a836a10e72d6ccc229aa7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004016-n000004-0000-17d1dde75a6401fa.parquet",
-      "sha256": "17d1dde75a6401fa7876d433decf5a078680996974f67d8851362251d5e5bb20",
-      "bytes": 51224,
-      "rows": 7,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004016-n000004-0000-44db840d39fae4b7.parquet",
-      "sha256": "44db840d39fae4b7f5155b274672ff46f302e43b2bd9426d7eff45adf6fdaae4",
-      "bytes": 105455,
-      "rows": 3,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004017.lean\",\"c3416d67631901dd59633ae4278908665612921b0010908c47df6191f6835d17\",0,\"lean_workbook_plus_24098\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004018.lean\",\"75753d2885e5ac330be9325c7e685f6e22746cd3d0c207c49b1ab07aa3243e7f\",0,\"lean_workbook_plus_24111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004019.lean\",\"7c346c62bfc236e13cf0ced9ca74f3ba4500ca2b21f2dbb3e2625d23f29e1745\",0,\"lean_workbook_plus_24004\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 51224,
+      "path": "data/train/pd5/oproofs-s00002-r00004016-n000004-0000-17d1dde75a6401fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "17d1dde75a6401fa7876d433decf5a078680996974f67d8851362251d5e5bb20"
+    },
+    {
+      "bytes": 105455,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00004016-n000004-0000-44db840d39fae4b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "44db840d39fae4b7f5155b274672ff46f302e43b2bd9426d7eff45adf6fdaae4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004020-n000004.json b/manifests/batches/oproofs/s00002-r00004020-n000004.json
index 7fb017c049ec0bc1e7af549df3693d8f69a15884..5776dd38af8e3d6603e0bb77905ec57188a336aa 100644
--- a/manifests/batches/oproofs/s00002-r00004020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004020-n000004",
   "batch_fingerprint": "56694b0bd011615c1704a435032c4bccce07f0196fc05582083fd0da3f8d8db2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004020-n000004-0000-97d83a802bce0cd8.parquet",
-      "sha256": "97d83a802bce0cd8ab14e731074630999d108d6a236521118a5bd8ef751ba09e",
-      "bytes": 160708,
-      "rows": 13,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004021.lean\",\"24800f44bc703c42bfeed9549d53f6e4907d8730f4382c7119fdb67d8d0f4fcd\",0,\"lean_workbook_plus_24076\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004022.lean\",\"feca38432b64f557cf7616f904f31a56d46953bfdd2b4d68dc6118a7a2980d08\",0,\"lean_workbook_plus_24077\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004023.lean\",\"5a147b452a62163da178c547713ed48c57d907a912440c98cad419ac5386726a\",0,\"lean_workbook_plus_24142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160708,
+      "path": "data/train/pb1/oproofs-s00002-r00004020-n000004-0000-97d83a802bce0cd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "97d83a802bce0cd8ab14e731074630999d108d6a236521118a5bd8ef751ba09e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004024-n000004.json b/manifests/batches/oproofs/s00002-r00004024-n000004.json
index 9804e38bcc89423703c1cf2c15d822f6aa1e6ee4..cb6e808158667b650811fd9a37992a532ebc5a1f 100644
--- a/manifests/batches/oproofs/s00002-r00004024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004024-n000004",
   "batch_fingerprint": "4cfbcd36309c48afc3efe2ccb250ea7aa4157200daa8eefb3af22b9148cb3842",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004024-n000004-0000-49a6c228a1049b23.parquet",
-      "sha256": "49a6c228a1049b2375223f0e10250b697a36fd10bbff5f7c522d05fb4d64c66b",
-      "bytes": 127001,
-      "rows": 14,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004024-n000004-0000-86e12f00ac62124f.parquet",
-      "sha256": "86e12f00ac62124f975220d32b4787a4805044f754a319b4b7b908ccd2904c2e",
-      "bytes": 45039,
-      "rows": 3,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004025.lean\",\"aa08e5e1a273cd8dec0f6c0fed8d5af090b63a1c8d275285d140a40876a8b3b7\",0,\"lean_workbook_plus_24127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004026.lean\",\"a2eebbd6f3df17fa9392fc6ca462decd837c5c6b99f1a1d449b02628802c1a5c\",0,\"lean_workbook_plus_24115\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004027.lean\",\"133dae1e427c2c2a40de9aa05f1f1696f52f4b55c2afb6be56afde61da5211ce\",0,\"lean_workbook_plus_24186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127001,
+      "path": "data/train/pe4/oproofs-s00002-r00004024-n000004-0000-49a6c228a1049b23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "49a6c228a1049b2375223f0e10250b697a36fd10bbff5f7c522d05fb4d64c66b"
+    },
+    {
+      "bytes": 45039,
+      "path": "data/dev/pe4/oproofs-s00002-r00004024-n000004-0000-86e12f00ac62124f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "86e12f00ac62124f975220d32b4787a4805044f754a319b4b7b908ccd2904c2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004028-n000004.json b/manifests/batches/oproofs/s00002-r00004028-n000004.json
index 04dd5430eed0a59c25406cb5a2741c304c397c88..8aaf7354e6ec86dcab7ada3091aee072e1eb1a51 100644
--- a/manifests/batches/oproofs/s00002-r00004028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004028-n000004",
   "batch_fingerprint": "8e25aad3b613428033f87911f399922232d0cd33f9468563559e5dba83af1b3a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004028-n000004-0000-483426e9ef92efd5.parquet",
-      "sha256": "483426e9ef92efd51a3e1ca070e726b439bac3af35e4d88c03abaf7f62a2232e",
-      "bytes": 192708,
-      "rows": 16,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004029.lean\",\"7a20e6f628e85499c231f41035f0517ef9421e8507d851c8d9ef9c0a8f486de1\",0,\"lean_workbook_plus_23499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004030.lean\",\"2cb7fbc6596ee2aee85c60a972c29d847349c3ac2b76933f7b046ac0c41a42b9\",0,\"lean_workbook_plus_24239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004031.lean\",\"f5bd97e9aa32568c6dccfb4848b1070c28a1e348124465db07c62681875cfc94\",0,\"lean_workbook_plus_24238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192708,
+      "path": "data/train/p18/oproofs-s00002-r00004028-n000004-0000-483426e9ef92efd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "483426e9ef92efd51a3e1ca070e726b439bac3af35e4d88c03abaf7f62a2232e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004032-n000004.json b/manifests/batches/oproofs/s00002-r00004032-n000004.json
index 8f060d63c33b9608fad78b46c0c32632eae6b682..9ac5c9fa737874d0247f3a73fc06777a1190ee49 100644
--- a/manifests/batches/oproofs/s00002-r00004032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004032-n000004",
   "batch_fingerprint": "9f18370510b1fd20dd3e70482424c66682b4d5cff888f27520dc4e137f82774f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004032-n000004-0000-6f76096168eaa566.parquet",
-      "sha256": "6f76096168eaa566507b6c138acbf8e61d64e54db3b7fbe72a434bd7cf0a6d5c",
-      "bytes": 113208,
-      "rows": 11,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004032-n000004-0000-874965d9e7b4089e.parquet",
-      "sha256": "874965d9e7b4089e615ad412743eaa9330f4b4ada5aab841e488368c87b6873c",
-      "bytes": 39982,
-      "rows": 3,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004033.lean\",\"47f65961032f2d768d5fedadf7df017917fdcabc5df8acf51b6c206f3352c160\",0,\"lean_workbook_plus_23167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004034.lean\",\"40ee096b7ef6610599fc02097588760a1438ef105644ab8ff63900348ab1a93d\",0,\"lean_workbook_plus_24269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004035.lean\",\"9f0b9a43b2a8b2ce30263b469a67037f692b7aca1268534f3ef6b95264cb727a\",0,\"lean_workbook_plus_2424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113208,
+      "path": "data/train/p21/oproofs-s00002-r00004032-n000004-0000-6f76096168eaa566.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6f76096168eaa566507b6c138acbf8e61d64e54db3b7fbe72a434bd7cf0a6d5c"
+    },
+    {
+      "bytes": 39982,
+      "path": "data/internal_test/p21/oproofs-s00002-r00004032-n000004-0000-874965d9e7b4089e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "874965d9e7b4089e615ad412743eaa9330f4b4ada5aab841e488368c87b6873c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004036-n000004.json b/manifests/batches/oproofs/s00002-r00004036-n000004.json
index ddca194a9c0424e2fba418d217f2c069050b0724..15951efc84d5878575d7169d1f1b090955f45622 100644
--- a/manifests/batches/oproofs/s00002-r00004036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004036-n000004",
   "batch_fingerprint": "8ddfd86ff04f907b0135aa193c3335b08dffc3a94f03090bd0cd9d36b7ab4ea5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004036-n000004-0000-0c4797b1161ef455.parquet",
-      "sha256": "0c4797b1161ef455ab9a79771ee6b1715cac4eb525c992c2fa0ad34b22883fb0",
-      "bytes": 331433,
-      "rows": 20,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004037.lean\",\"2cff17b7b3f559101534ec8e4e0b421ed12884789ce223625c04bba36f4adf2c\",0,\"lean_workbook_plus_23920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004038.lean\",\"92dabbd3e5e56da2a1506f65d2d86c9b5762de9bdc0073eebfd30f123f205ead\",0,\"lean_workbook_plus_23381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004039.lean\",\"f5d5a48ad77369b8562cde41298c0717370e3ea0324c3838017d235ba330e7da\",0,\"lean_workbook_plus_23292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331433,
+      "path": "data/train/p95/oproofs-s00002-r00004036-n000004-0000-0c4797b1161ef455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0c4797b1161ef455ab9a79771ee6b1715cac4eb525c992c2fa0ad34b22883fb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004040-n000004.json b/manifests/batches/oproofs/s00002-r00004040-n000004.json
index 9f63a509756d85fef8afe4f1abf825d3b9c7b8cf..7ac5cfd429b9942539fc8a574d6bfa287edbf66c 100644
--- a/manifests/batches/oproofs/s00002-r00004040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004040-n000004",
   "batch_fingerprint": "1a46748633e178a618ad7f70811b85e1648213c19c393f933cff55bddc02d9e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004040-n000004-0000-70643aaeebb05564.parquet",
-      "sha256": "70643aaeebb05564dea9b58bf957a325885031e42dfbcaa49820f7fb96a3ee9f",
-      "bytes": 129208,
-      "rows": 12,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004041.lean\",\"27a842d406e1fb1b7a25e222d858e810076f0eabf8c4bbb53953df5295dc82f4\",0,\"lean_workbook_plus_24260\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004042.lean\",\"262c7d32547504b2d3702b718e959985271e4e48d01abbd3544a58e436ceefa5\",0,\"lean_workbook_plus_24343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004043.lean\",\"2dc7d7554b134251c35b14bb57250e5771990ba39b88081c5c69fd5bd574f65b\",0,\"lean_workbook_plus_24356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129208,
+      "path": "data/train/p2b/oproofs-s00002-r00004040-n000004-0000-70643aaeebb05564.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "70643aaeebb05564dea9b58bf957a325885031e42dfbcaa49820f7fb96a3ee9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004044-n000004.json b/manifests/batches/oproofs/s00002-r00004044-n000004.json
index be44d877e28417d747106f8db438c693d8a0c010..903e0fafbc009d796a073ea5a9d9b6a801cff344 100644
--- a/manifests/batches/oproofs/s00002-r00004044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004044-n000004",
   "batch_fingerprint": "622270059b75b58e1992ff1ea498d66834313d59be89744e69c1cc96b59f8235",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004044-n000004-0000-93179e47dc1457c0.parquet",
-      "sha256": "93179e47dc1457c0ed7ff42e56f66001bdf5fe6620df10f847aacb2896a26f82",
-      "bytes": 277446,
-      "rows": 18,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004044-n000004-0000-4828095778efaaf9.parquet",
-      "sha256": "4828095778efaaf9aca3b3474c1f0ef1fdba4b157578677c3fed1f0a787205ff",
-      "bytes": 35056,
-      "rows": 2,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004045.lean\",\"7c65aba0365b053c9abe6deecc9a40b9a8b8e2632f0dbcb0d185154278ce0696\",0,\"lean_workbook_plus_23339\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004046.lean\",\"73f350deee4e2ad1e791517dff89b23b9732cca0450e7f57139e995a8d6d67ea\",0,\"lean_workbook_plus_24325\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004047.lean\",\"c3a133ff31cdcf53b1f132ab8c59c1c3a2e46aa95fd7c391802edeafde460dd4\",0,\"lean_workbook_plus_24377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277446,
+      "path": "data/train/p68/oproofs-s00002-r00004044-n000004-0000-93179e47dc1457c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "93179e47dc1457c0ed7ff42e56f66001bdf5fe6620df10f847aacb2896a26f82"
+    },
+    {
+      "bytes": 35056,
+      "path": "data/internal_test/p68/oproofs-s00002-r00004044-n000004-0000-4828095778efaaf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4828095778efaaf9aca3b3474c1f0ef1fdba4b157578677c3fed1f0a787205ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004048-n000004.json b/manifests/batches/oproofs/s00002-r00004048-n000004.json
index 15b555135a5a7b85d61e9b3fa213e79692384b06..5ffa69f75e89ad9cfd44d0a3e3dd5aafddd9cea7 100644
--- a/manifests/batches/oproofs/s00002-r00004048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004048-n000004",
   "batch_fingerprint": "2e0ecba166a98ce136f0db59e575fbc1feb7322d306bd173f36ed98f30ad01c6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004048-n000004-0000-9cb4b896f3c566f7.parquet",
-      "sha256": "9cb4b896f3c566f78c9edd18ded3510b6601497c29708ebc0327438be62e5722",
-      "bytes": 163045,
-      "rows": 16,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4049",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004049.lean\",\"a9ab90d065223ef8d34f50099b43e962c5ec7acfb241b86c0e5911518d0c0f6b\",0,\"lean_workbook_plus_24381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004050.lean\",\"5c09cec39e1b6115263566803a4b5b576f004e40bf7f7177b7e54b31a283cf9b\",0,\"lean_workbook_plus_24382\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004051.lean\",\"1943d39e73cb1d06d1aaa810a135b32bcaa1e3c58ebb5a906c29133de1911000\",0,\"lean_workbook_plus_24291\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163045,
+      "path": "data/train/pe6/oproofs-s00002-r00004048-n000004-0000-9cb4b896f3c566f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9cb4b896f3c566f78c9edd18ded3510b6601497c29708ebc0327438be62e5722"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004052-n000004.json b/manifests/batches/oproofs/s00002-r00004052-n000004.json
index de309becfff111e28d7d989343f1d84033ab8d5a..80ae8f5b35ca8c14c0b32c88c31782353030e88f 100644
--- a/manifests/batches/oproofs/s00002-r00004052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004052-n000004",
   "batch_fingerprint": "46810ddca72e9751a92334341195fcfafb0bb7fed8a318e3050598052ed09364",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004052-n000004-0000-15caafe02160f5b6.parquet",
-      "sha256": "15caafe02160f5b6e69430c593c4c9bd615b48ebed89f22b652811a5e66cf331",
-      "bytes": 433633,
-      "rows": 18,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004053.lean\",\"40b8df28ae03b1c306b192740fe0d62981354270f303ead20f5dc9549af146fe\",0,\"lean_workbook_plus_23900\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004054.lean\",\"bd3e7bed6eac74b5fe50360d3ed5a8b85310ea31cc853298506d0f62df4cb6fb\",0,\"lean_workbook_plus_24396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004055.lean\",\"c8f51c21016ac97adb8de3d38da51fb1934123e971633a1b3695262962b4d08e\",0,\"lean_workbook_plus_24436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433633,
+      "path": "data/train/pd4/oproofs-s00002-r00004052-n000004-0000-15caafe02160f5b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "15caafe02160f5b6e69430c593c4c9bd615b48ebed89f22b652811a5e66cf331"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004056-n000004.json b/manifests/batches/oproofs/s00002-r00004056-n000004.json
index f3add741bf554846ecae3e1122d4f92f1291b8f7..9071ad825775670dc2a8ed7a328db2e4d5e8ae6f 100644
--- a/manifests/batches/oproofs/s00002-r00004056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004056-n000004",
   "batch_fingerprint": "5b125fcf10f0c6557276d42985a402139a771dbcde9851396d467e34ba81413c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004056-n000004-0000-854e0cc705b085c7.parquet",
-      "sha256": "854e0cc705b085c7bda05686a4a708c5c20aa4330946787d368d1888f2e801cd",
-      "bytes": 703735,
-      "rows": 16,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004057.lean\",\"aad772d300b41cbe811fff4404ffcacfa065cd5fefcb2f7f9af3c5b5f7c31b22\",0,\"lean_workbook_plus_2420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004058.lean\",\"f8b89a84f5f3c3c0e29c080a4f80782a0f751ffadac8387f961467242d59740f\",0,\"lean_workbook_plus_244\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004059.lean\",\"abcd4842c8291cf1d9996ee1c9d783fa3c5bd92172cb0d7c6672a7cf7f299bde\",0,\"lean_workbook_plus_22905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 703735,
+      "path": "data/train/pad/oproofs-s00002-r00004056-n000004-0000-854e0cc705b085c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "854e0cc705b085c7bda05686a4a708c5c20aa4330946787d368d1888f2e801cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004060-n000004.json b/manifests/batches/oproofs/s00002-r00004060-n000004.json
index f305ca092f2058b918956fb75bf9c759b8ff7bf0..46e36b93819f458c0ff677adda6da4ad10b5dd52 100644
--- a/manifests/batches/oproofs/s00002-r00004060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004060-n000004",
   "batch_fingerprint": "602a76ab1c852b4e7868111c9bf483b1368871120ad669ce52c5d65ca2940ebe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004060-n000004-0000-cad29877c6258e65.parquet",
-      "sha256": "cad29877c6258e658f5174b58b37e1762b1608a110d779dbb90eb71ea47fe6d4",
-      "bytes": 133177,
-      "rows": 14,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004061.lean\",\"5b6594bcf659001d3284ec5152a3e89a788d2421022ccf8f8b77e8c68f782407\",0,\"lean_workbook_plus_24452\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004062.lean\",\"63b4d15916c2e1fbf2cbf3964b62e01c5437af5f152a0ce81ea70230a8b978c0\",0,\"lean_workbook_plus_24509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004063.lean\",\"fc8b0682cfacd66970163b978bd77241bb365074b29235556a1200b7d8b0b419\",0,\"lean_workbook_plus_24391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133177,
+      "path": "data/train/p09/oproofs-s00002-r00004060-n000004-0000-cad29877c6258e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cad29877c6258e658f5174b58b37e1762b1608a110d779dbb90eb71ea47fe6d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004064-n000004.json b/manifests/batches/oproofs/s00002-r00004064-n000004.json
index 04896f74287a531d65b92b24dcb973a55d3c3dc6..ce62e5eb4acc44e49ef1fa3ce76ef7c4b305eb3d 100644
--- a/manifests/batches/oproofs/s00002-r00004064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004064-n000004",
   "batch_fingerprint": "933f3785bbd313ec1087db67b9b517667e6a6b2791e280fae29d05832796b5fd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004064-n000004-0000-6d55ec3a22a22e6e.parquet",
-      "sha256": "6d55ec3a22a22e6ee9454c2e172b4e65f97643ea76b99d4b1fb01ab4ecc79288",
-      "bytes": 68310,
-      "rows": 8,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004064-n000004-0000-6e388f95de003ffe.parquet",
-      "sha256": "6e388f95de003ffe557a399c69f9180284d7e4467282a7099801258647f869c3",
-      "bytes": 129145,
-      "rows": 7,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004065.lean\",\"f4608478148ba1c77225261c756f84f8c52ffbcb71383810d35f2c5117d93f75\",0,\"lean_workbook_plus_24510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004066.lean\",\"e23b82b5eda10f6963c7e6865074cc7c966302c51c3e4f353a386ecfc477370e\",0,\"lean_workbook_plus_24595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004067.lean\",\"e553403a393ac4caba0d3475673e6e0d2308088891cee219583b0e4a3920fa91\",0,\"lean_workbook_plus_22883\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 68310,
+      "path": "data/train/p10/oproofs-s00002-r00004064-n000004-0000-6d55ec3a22a22e6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6d55ec3a22a22e6ee9454c2e172b4e65f97643ea76b99d4b1fb01ab4ecc79288"
+    },
+    {
+      "bytes": 129145,
+      "path": "data/dev/p10/oproofs-s00002-r00004064-n000004-0000-6e388f95de003ffe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6e388f95de003ffe557a399c69f9180284d7e4467282a7099801258647f869c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004068-n000004.json b/manifests/batches/oproofs/s00002-r00004068-n000004.json
index 55b2303fdb45af57f57ef6c4646e558566363bef..bff028e1a272f5ca1ca578e33cd08352db48d9af 100644
--- a/manifests/batches/oproofs/s00002-r00004068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004068-n000004",
   "batch_fingerprint": "6b6597320b5c900755f424de8c19dab69ffa7f0a7b9a350afd55bdc452a4d586",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004068-n000004-0000-21e0f999bc646a1a.parquet",
-      "sha256": "21e0f999bc646a1a57d5c341db87191270e325f141b645cf88a24c7c3f68ed91",
-      "bytes": 271867,
-      "rows": 21,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4069",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004069.lean\",\"ae96a05711ab8e7a7fa81f0ba44eabed3106a941b99701e8a2ce4847da87be99\",0,\"lean_workbook_plus_2425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004070.lean\",\"4e76ff7d0b48168863c673775344b6b5aec3ff49d750ad6163c2d5200557dd44\",0,\"lean_workbook_plus_23656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004071.lean\",\"0360d2e362c84105e3f8a4f277f5b0c3883d74e8eb405f15050433a2c0be224f\",0,\"lean_workbook_plus_23360\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271867,
+      "path": "data/train/p12/oproofs-s00002-r00004068-n000004-0000-21e0f999bc646a1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "21e0f999bc646a1a57d5c341db87191270e325f141b645cf88a24c7c3f68ed91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004072-n000004.json b/manifests/batches/oproofs/s00002-r00004072-n000004.json
index 8e93e16c3e6aa4a12789be711710f51b8fbfa853..841581f91db2223092af442bba507546720a7bd3 100644
--- a/manifests/batches/oproofs/s00002-r00004072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004072-n000004",
   "batch_fingerprint": "c0919f22ffa5b11924798f3cc48b54fedc22beacb150f3b4ef4d6c8abfbd2fe8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004072-n000004-0000-8781b747cfab0433.parquet",
-      "sha256": "8781b747cfab0433edbd74e3d699aa1105a72925ffad8aa00b1271193fc420b4",
-      "bytes": 276748,
-      "rows": 12,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004073.lean\",\"1e45d13b2ee42bbd258208dcd6a38be1223256b5e938b6946d610acb981b921c\",0,\"lean_workbook_plus_24669\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004074.lean\",\"9d190df7121bcbd0f1f6bee41e1a6f1b663b066bd846b7000058c558b015c066\",0,\"lean_workbook_plus_2460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004075.lean\",\"01c3c033df2f929e309ead000e7bbd64f1cb32cccb89d07c60de5dfa395da8f8\",0,\"lean_workbook_plus_23233\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276748,
+      "path": "data/train/p57/oproofs-s00002-r00004072-n000004-0000-8781b747cfab0433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8781b747cfab0433edbd74e3d699aa1105a72925ffad8aa00b1271193fc420b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004076-n000004.json b/manifests/batches/oproofs/s00002-r00004076-n000004.json
index d5320697a82af10c0c6e3c12fcccfe3e005f587f..392cdb5b91cc38aedb4f0f7a56e91c8a345c8650 100644
--- a/manifests/batches/oproofs/s00002-r00004076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004076-n000004",
   "batch_fingerprint": "710588e1c2e8dfa99eb00e9d6e8bd5efe224824d463468d854ba30fdafe9321d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004076-n000004-0000-b3fd8f97ae84f7c9.parquet",
-      "sha256": "b3fd8f97ae84f7c9b1fdd5818fbef42c0596186f24035bb779659d507f997db4",
-      "bytes": 104897,
-      "rows": 16,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004077.lean\",\"756eb2c0671f27d7496a9bdddfd4b536dcb2fca379fa4a20827b920fb5e12095\",0,\"lean_workbook_plus_2475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004078.lean\",\"67fdf875429aadf9067c3be12051766eb50bbdb6c7eae8b540a8ebbf4a7ad909\",0,\"lean_workbook_plus_24739\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004079.lean\",\"418a240b43a433146400fa833bc6bcc14f42496b90f7a21f86b1a344fd3bd90b\",0,\"lean_workbook_plus_24734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104897,
+      "path": "data/train/pb8/oproofs-s00002-r00004076-n000004-0000-b3fd8f97ae84f7c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b3fd8f97ae84f7c9b1fdd5818fbef42c0596186f24035bb779659d507f997db4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004080-n000004.json b/manifests/batches/oproofs/s00002-r00004080-n000004.json
index d1415711391e32018809381b2f21ed26eb27400d..8bb3677518d720ff16f7de861a8c7109e7dba7fc 100644
--- a/manifests/batches/oproofs/s00002-r00004080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004080-n000004",
   "batch_fingerprint": "6b365dc06415edc0575f67f9d90d2275084b0fae702224f4acb7c88daf1ad566",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004080-n000004-0000-392eca819dccecd5.parquet",
-      "sha256": "392eca819dccecd54f9e135cef8c23a56f6374fdb896b34242f4a8b0b15a226a",
-      "bytes": 388545,
-      "rows": 15,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004081.lean\",\"ff3849d90ca938ea8966d5c17018224b0d86344f2d2d0f7bc3e1a036c0a3a963\",0,\"lean_workbook_plus_23983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004082.lean\",\"a1542c2762816ca83e31926f84ed356268a03f7df3e8aa766c82019e6d4ccfb3\",0,\"lean_workbook_plus_232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004083.lean\",\"3f790942e18996beedefd61ffa01cb445bafe9d68270ff8938a3866768af3d04\",0,\"lean_workbook_plus_24744\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388545,
+      "path": "data/train/p88/oproofs-s00002-r00004080-n000004-0000-392eca819dccecd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "392eca819dccecd54f9e135cef8c23a56f6374fdb896b34242f4a8b0b15a226a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004084-n000004.json b/manifests/batches/oproofs/s00002-r00004084-n000004.json
index 47fbaae84ab176b3150975ce5943b1d8059b5e2f..0d873e0d27e47fc593f0846f71bfacb87e0caa09 100644
--- a/manifests/batches/oproofs/s00002-r00004084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004084-n000004",
   "batch_fingerprint": "6a8371d4ef50dc5ec3d0ae0e839bb22c61c637181d77556fe6fd2f0326aba4df",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004084-n000004-0000-85a83a165dca5f4b.parquet",
-      "sha256": "85a83a165dca5f4b09b9d83789c82a2632ceebf45208a5479d37d116f9e9952c",
-      "bytes": 476550,
-      "rows": 14,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004084-n000004-0000-b8f935101efa4455.parquet",
-      "sha256": "b8f935101efa44550e3c6107c13e2b5b17f6dd562fd100df757c7f680fbfb869",
-      "bytes": 53873,
-      "rows": 5,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004085.lean\",\"eec0a848362b518be9370251042ff91c9c57397c52f764d9704a6b03b2e232bc\",0,\"lean_workbook_plus_24603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004086.lean\",\"e614153c3a51dd3412d1da7bf166939857469332f111c3ff9c57fee5b8511443\",0,\"lean_workbook_plus_23187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004087.lean\",\"2c7ba5ba708dc8f310fd30683a92af70443365101405702d78a77249035230bc\",0,\"lean_workbook_plus_24911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476550,
+      "path": "data/train/p5e/oproofs-s00002-r00004084-n000004-0000-85a83a165dca5f4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "85a83a165dca5f4b09b9d83789c82a2632ceebf45208a5479d37d116f9e9952c"
+    },
+    {
+      "bytes": 53873,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00004084-n000004-0000-b8f935101efa4455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b8f935101efa44550e3c6107c13e2b5b17f6dd562fd100df757c7f680fbfb869"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004088-n000004.json b/manifests/batches/oproofs/s00002-r00004088-n000004.json
index 589b02dab891e2d73a97be9c209dabde2f12f7ab..c64eb6149d154ce8975b56a3bbf5de974ce81f1f 100644
--- a/manifests/batches/oproofs/s00002-r00004088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004088-n000004",
   "batch_fingerprint": "36e7393beb769207814b03ba972dd153524d158e57dee08e7377b33b27884b0c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004088-n000004-0000-6ea40a5cf3542acd.parquet",
-      "sha256": "6ea40a5cf3542acd0aedec9dee37d39d56314597647b9a97ef6da1eab72d11b9",
-      "bytes": 350922,
-      "rows": 20,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004088-n000004-0000-e620799c924d7b2a.parquet",
-      "sha256": "e620799c924d7b2a92809316f891945e2c1706ead1e5ab026164dcfdd9f2b8af",
-      "bytes": 697049,
-      "rows": 7,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004089.lean\",\"48ff03c340a206ce06bacbb724797159c7ae19537100211d25e4a53b74622784\",0,\"lean_workbook_plus_24916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004090.lean\",\"4978336dd4f9becc44321c9d112a7b1c8c7cc59b8088d34b51a1bbf7ac20c464\",0,\"lean_workbook_plus_2438\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004091.lean\",\"4b13c290bc52234d8ea6a7a25bded78cd704945d4b6762c1a6f0480cd9c72854\",0,\"lean_workbook_plus_23181\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350922,
+      "path": "data/train/p92/oproofs-s00002-r00004088-n000004-0000-6ea40a5cf3542acd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6ea40a5cf3542acd0aedec9dee37d39d56314597647b9a97ef6da1eab72d11b9"
+    },
+    {
+      "bytes": 697049,
+      "path": "data/dev/p92/oproofs-s00002-r00004088-n000004-0000-e620799c924d7b2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e620799c924d7b2a92809316f891945e2c1706ead1e5ab026164dcfdd9f2b8af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004092-n000004.json b/manifests/batches/oproofs/s00002-r00004092-n000004.json
index df1e5bc2e229b41c0a9cfadcf0a71a10f7970719..c5dadfd29f75bb2d36223d02d373908b4e3623c9 100644
--- a/manifests/batches/oproofs/s00002-r00004092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004092-n000004",
   "batch_fingerprint": "503d9f0989c4b9fe69fab06b4d76f30f01e3d6f65056a421df5d292b28662f56",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004092-n000004-0000-6f8cd29f973fea36.parquet",
-      "sha256": "6f8cd29f973fea362f2bd0881f01d8b2c32b6424dd7a0be9dac81d96f033676d",
-      "bytes": 235644,
-      "rows": 13,
-      "revision": "38431cd6a09722edf1b93ada6bb7418a54340dbf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004093.lean\",\"1c72f39178b6a412c685047205bfbe0304005919becd8b6866ccdfb1773a40c4\",0,\"lean_workbook_plus_2496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004094.lean\",\"a1c5a25f7296a3246c3710333c43f7e716b203e68a8a8e5e98405e3b3c1b9736\",0,\"lean_workbook_plus_24732\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004095.lean\",\"e7ced136a24c102ac4f38ac6757ab9a61a3c759a8184c28c17441beb3ba33552\",0,\"lean_workbook_plus_23011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235644,
+      "path": "data/train/p44/oproofs-s00002-r00004092-n000004-0000-6f8cd29f973fea36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6f8cd29f973fea362f2bd0881f01d8b2c32b6424dd7a0be9dac81d96f033676d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004096-n000004.json b/manifests/batches/oproofs/s00002-r00004096-n000004.json
index 7f549e6aa4971b97246fbc0297816a59b5bde092..b8f1e07dffbc8dcef5a482ca1d4f0c3ce673892e 100644
--- a/manifests/batches/oproofs/s00002-r00004096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004096-n000004",
   "batch_fingerprint": "a0122a7a50433c2b6d9670c8e93e97cc4181a68605dd74c0a21dc9b1ac99bed2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004096-n000004-0000-af22f816abede6d6.parquet",
-      "sha256": "af22f816abede6d67ac9111044113b8624d1a777d1c8325e787e650f84193ad7",
-      "bytes": 423656,
-      "rows": 20,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004097.lean\",\"1d75d977fae679ff76f794d44f911d75569d762cf638ceed089748218dc227e6\",0,\"lean_workbook_plus_24566\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004098.lean\",\"c124bfc897849f67d4ecd94efcdffd8648cd91fc8778a551fcb403ac869235df\",0,\"lean_workbook_plus_24745\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004099.lean\",\"5d1361c75284b8645c0e4573a85515aa1ba82cafded908c0614ef7f0429cfa1c\",0,\"lean_workbook_plus_23108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423656,
+      "path": "data/train/p49/oproofs-s00002-r00004096-n000004-0000-af22f816abede6d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "af22f816abede6d67ac9111044113b8624d1a777d1c8325e787e650f84193ad7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004100-n000004.json b/manifests/batches/oproofs/s00002-r00004100-n000004.json
index ac7a8a0d54cb8a25fd81239156ff32c9cff35386..9c44849ace8ad03be6f82690cc0348a0cc3faf01 100644
--- a/manifests/batches/oproofs/s00002-r00004100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004100-n000004",
   "batch_fingerprint": "2570d61080cee0dc14548035f672469c7b3576c040741385363b77b82a3185cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004100-n000004-0000-05d3003d41271ad6.parquet",
-      "sha256": "05d3003d41271ad60fcd982b143bfe0b2af11e031c4e294fa386e07b88500a6b",
-      "bytes": 226971,
-      "rows": 19,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004101.lean\",\"8ed285565d95bd05cc68d4fe4973044126af677a97095017747658fce680061d\",0,\"lean_workbook_plus_24912\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004102.lean\",\"a24363e154efbd1ae5dc3cf1b87e4c9384621ccca8df679b3da24855e872ccc1\",0,\"lean_workbook_plus_24028\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004103.lean\",\"29b0202204ab50bb4c155df84c04bdd2d9a0425932a9f5d0d90c2c04db227585\",0,\"lean_workbook_plus_25006\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226971,
+      "path": "data/train/p93/oproofs-s00002-r00004100-n000004-0000-05d3003d41271ad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "05d3003d41271ad60fcd982b143bfe0b2af11e031c4e294fa386e07b88500a6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004104-n000004.json b/manifests/batches/oproofs/s00002-r00004104-n000004.json
index b7f5bc8ca7ffce1ea1fc49d0a1ea375f0ced0bf2..356c1611ed5c73f11e0dc72c3aa82cd90986e924 100644
--- a/manifests/batches/oproofs/s00002-r00004104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004104-n000004",
   "batch_fingerprint": "40bb848350009bd8794590450a0b9b963ce3f650fccbe0c331b56ac4aa934d51",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004104-n000004-0000-2dba952ac62face9.parquet",
-      "sha256": "2dba952ac62face92925a7d4438db30c85fc5edefe1e938305e9d512c2a5f705",
-      "bytes": 153232,
-      "rows": 17,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004105.lean\",\"5bae317ccdb3576030a20e5bdea17f17e12dbf463360017d5119537dd4cca76b\",0,\"lean_workbook_plus_25100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004106.lean\",\"69de1671bbb610f2c76b3f2a7af480cd2868826379c69a66519764120faa0247\",0,\"lean_workbook_plus_24937\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004107.lean\",\"ed9283a9b01a055f3539255dcc6b4539897591b2afe30a3ab4c093d7487883b7\",0,\"lean_workbook_plus_24978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153232,
+      "path": "data/train/p2f/oproofs-s00002-r00004104-n000004-0000-2dba952ac62face9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2dba952ac62face92925a7d4438db30c85fc5edefe1e938305e9d512c2a5f705"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004108-n000004.json b/manifests/batches/oproofs/s00002-r00004108-n000004.json
index c92c2e1b7e6cdd6ced8c35213f4b7e0035839599..085e1910e507c7b98cc0810060b92251a3a830e9 100644
--- a/manifests/batches/oproofs/s00002-r00004108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004108-n000004",
   "batch_fingerprint": "37c7847e875ddbae3d41fd21b765a03161b5c98022619bacf692c39fa8c2c25b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004108-n000004-0000-cba21b85ae4f195f.parquet",
-      "sha256": "cba21b85ae4f195fd58f6d30b39ad30c2c5bfd409e9c5b6bcb93f1aa41f8d7ad",
-      "bytes": 240751,
-      "rows": 12,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004109.lean\",\"9d19c1225b8bf1e709988dd6d2ae850fdcd34b6aff95623ea088f231031c962b\",0,\"lean_workbook_plus_23823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004110.lean\",\"fb24d08a48f95474cc760c8e259d72b6cfd18460662564663febee048907d8ad\",0,\"lean_workbook_plus_25072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004111.lean\",\"7761d761e13dd64abcfb432f190b43781820b7bda3d2fcb669071e21a24e751d\",0,\"lean_workbook_plus_25083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240751,
+      "path": "data/train/p59/oproofs-s00002-r00004108-n000004-0000-cba21b85ae4f195f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cba21b85ae4f195fd58f6d30b39ad30c2c5bfd409e9c5b6bcb93f1aa41f8d7ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004112-n000004.json b/manifests/batches/oproofs/s00002-r00004112-n000004.json
index 9841da710f831104464815246a04db319514d22a..82f6782885ef3d867e4eefcdc67664734f9b3966 100644
--- a/manifests/batches/oproofs/s00002-r00004112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004112-n000004",
   "batch_fingerprint": "8b6ce00c4a5cb5b1b5d6d52ec77dabc06505149b13ff8da99149b493f173f23c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004112-n000004-0000-97e00c938ab41282.parquet",
-      "sha256": "97e00c938ab412829f6723967bc6bdf8bc3952f255a99342f22ed3a6b8dd0f2e",
-      "bytes": 101553,
-      "rows": 14,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4113",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004113.lean\",\"e5e381b895b3e48c9be12c5fed335e3e89a971d77c2b23cd08a04367155a5132\",0,\"lean_workbook_plus_25155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004114.lean\",\"acb1a1e3f398c9badea38231c06f8ae7ef05c302cec1a91c13b52304da3ead0a\",0,\"lean_workbook_plus_25176\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004115.lean\",\"b6cd44187f327ec1229b5e8a91ee86e4205d9bd96776d9c174ba60332dad6d6f\",0,\"lean_workbook_plus_25222\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101553,
+      "path": "data/train/p50/oproofs-s00002-r00004112-n000004-0000-97e00c938ab41282.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "97e00c938ab412829f6723967bc6bdf8bc3952f255a99342f22ed3a6b8dd0f2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004116-n000004.json b/manifests/batches/oproofs/s00002-r00004116-n000004.json
index 731da333056688630bc13abb6e23b6873ab70a9f..9fb50455af4853a272cf075de294aca9507256cf 100644
--- a/manifests/batches/oproofs/s00002-r00004116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004116-n000004",
   "batch_fingerprint": "afdeb3a114ed3af6d0babe56d3f4e7315c89b734ed6a09dcc734d831f03ae52e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004116-n000004-0000-76a7960ee9cc678d.parquet",
-      "sha256": "76a7960ee9cc678dccf2fd5cb87444b2f075c20daa6ca7461883dd263b6597ff",
-      "bytes": 311003,
-      "rows": 15,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004117.lean\",\"98419dda232ab60268b0dd4581a94ec3177305dcb7bb5a98d9da39bef5978fc0\",0,\"lean_workbook_plus_24861\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004118.lean\",\"2886941d8cf6d435f6b6da18afeea13eb2eb4cc0a10796def4dc3fbbfdae608c\",0,\"lean_workbook_plus_24638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004119.lean\",\"24846f31b14afc1e9ebec7361c3e6c7adbbb46ad023b70112622305e114f6445\",0,\"lean_workbook_plus_23093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311003,
+      "path": "data/train/pf8/oproofs-s00002-r00004116-n000004-0000-76a7960ee9cc678d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "76a7960ee9cc678dccf2fd5cb87444b2f075c20daa6ca7461883dd263b6597ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004120-n000004.json b/manifests/batches/oproofs/s00002-r00004120-n000004.json
index 0f98a7e5e56151388f7845a3dd266c8d9f62685c..138f7bc14709364edfb7025ac35d785cafb42786 100644
--- a/manifests/batches/oproofs/s00002-r00004120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004120-n000004",
   "batch_fingerprint": "b1849c5190d02c28574c1280542fc6c3c224e92989eecf77289b6d09c52533b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004120-n000004-0000-13bba0f7876901f9.parquet",
-      "sha256": "13bba0f7876901f95cccacbb6fd3f6157c1c0ec8302697318935c4db9331786d",
-      "bytes": 61846,
-      "rows": 8,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004120-n000004-0000-ab655500f27fb21b.parquet",
-      "sha256": "ab655500f27fb21beba9b9fe1a0871ce4a3b7879fb6a41a5c1db8de41ae40a36",
-      "bytes": 37364,
-      "rows": 5,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004121.lean\",\"f150aa82351744b5b5acd673cff2e708f7eee2e5d6d442518e9ed3e38e034ab0\",0,\"lean_workbook_plus_23792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004122.lean\",\"72b39d2b5dd8759d8f67157efe0fa74355f15602e3ce393febb2ee8b58e7075a\",0,\"lean_workbook_plus_23174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004123.lean\",\"8ed8f6ebf19b3f74ab3e901ce08250e3dde83e9316b518604a2a6b0c269c1d3d\",0,\"lean_workbook_plus_23424\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61846,
+      "path": "data/train/pe6/oproofs-s00002-r00004120-n000004-0000-13bba0f7876901f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "13bba0f7876901f95cccacbb6fd3f6157c1c0ec8302697318935c4db9331786d"
+    },
+    {
+      "bytes": 37364,
+      "path": "data/internal_test/pe6/oproofs-s00002-r00004120-n000004-0000-ab655500f27fb21b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ab655500f27fb21beba9b9fe1a0871ce4a3b7879fb6a41a5c1db8de41ae40a36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004124-n000004.json b/manifests/batches/oproofs/s00002-r00004124-n000004.json
index 9700cfe164e0afdab956d0a26201d2b301ddb142..ef79d6c7fa2db44423487ae0b3d6c41dd2cab519 100644
--- a/manifests/batches/oproofs/s00002-r00004124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004124-n000004",
   "batch_fingerprint": "1e18bf523391e3cb1e08ef7c61e20fb94d4d02c90f1eddd8d01396fe683a4aca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004124-n000004-0000-08551edc424ed41e.parquet",
-      "sha256": "08551edc424ed41e0c186c4fd3981d0e214f00b8ebebb8350db9eb102c816f96",
-      "bytes": 88374,
-      "rows": 17,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004125.lean\",\"c7249dadc75dd62f4218126d1b301b06d6d50261273e956d073d00a84ef92a22\",0,\"lean_workbook_plus_23294\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004126.lean\",\"15885fee1d43d2b86a88caa47e6b4b53509adac3b2a07f3570eda6ee740b6940\",0,\"lean_workbook_plus_23482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004127.lean\",\"c5976c9a27a25cbe87f2f47bc7f285c542ce8e1ef70bad1efa773ddea77a1dce\",0,\"lean_workbook_plus_23106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88374,
+      "path": "data/train/p91/oproofs-s00002-r00004124-n000004-0000-08551edc424ed41e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "08551edc424ed41e0c186c4fd3981d0e214f00b8ebebb8350db9eb102c816f96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004128-n000004.json b/manifests/batches/oproofs/s00002-r00004128-n000004.json
index 027ac89b7e4fbe6fe7e623dee3ddd66802edfd33..7fe937832376d930b405abb6ed0df4450fd70c47 100644
--- a/manifests/batches/oproofs/s00002-r00004128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004128-n000004",
   "batch_fingerprint": "a20d9c7c5b8cd4db1c9e4c3c85d95b6846d43435afcae55cb282d14c2adda2c5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004128-n000004-0000-8119fd04239ce7d1.parquet",
-      "sha256": "8119fd04239ce7d1d310bf47f1ea736a5ba836a21a918ee1ec48ffce6c4482df",
-      "bytes": 69935,
-      "rows": 14,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004128-n000004-0000-2d28a73b23e80a69.parquet",
-      "sha256": "2d28a73b23e80a69784e05bab59530983a08861726ccc3b59b8bbde5cafebdbe",
-      "bytes": 47397,
-      "rows": 2,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004129.lean\",\"94075c589e814c358cd533e74d220d920e725c7913a6fdb2690a7773b1de6cc0\",0,\"lean_workbook_plus_23463\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004130.lean\",\"a894a4c1bbac249ae1f7b433d44013fd83abfa6deaa8baed0ea4858a93f772b0\",0,\"lean_workbook_plus_22858\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004131.lean\",\"68c8c6417f4d0f069153f4cfa28bb376229da592a829c8a7e4591bab91ab447e\",0,\"lean_workbook_plus_22774\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69935,
+      "path": "data/train/p06/oproofs-s00002-r00004128-n000004-0000-8119fd04239ce7d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8119fd04239ce7d1d310bf47f1ea736a5ba836a21a918ee1ec48ffce6c4482df"
+    },
+    {
+      "bytes": 47397,
+      "path": "data/internal_test/p06/oproofs-s00002-r00004128-n000004-0000-2d28a73b23e80a69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2d28a73b23e80a69784e05bab59530983a08861726ccc3b59b8bbde5cafebdbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004132-n000004.json b/manifests/batches/oproofs/s00002-r00004132-n000004.json
index 37401f45142b4f1fbb51e074bf2da3c41dd31ac2..cce7b1ccd4b1b8de71a0138c0f9dcd4d60ef5699 100644
--- a/manifests/batches/oproofs/s00002-r00004132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004132-n000004",
   "batch_fingerprint": "5071061684b68ec5dabcaae22c7413271bacc367a5b4095e8f63d3fd4d9b3fdc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004132-n000004-0000-b9417ef269caec18.parquet",
-      "sha256": "b9417ef269caec18b2c78fc6efd8e9ca2267f87819da9036ab6b6225668f1c81",
-      "bytes": 367883,
-      "rows": 18,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004133.lean\",\"37bfc387b07df0d133e42ea2d4bf9212cd7aa3ae0659bfd1c31d413293f52d0c\",0,\"lean_workbook_plus_25310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004134.lean\",\"bc5681f958a393117cbc4a66a2f7e48e501882465ae6442ae4215ab9cdf194be\",0,\"lean_workbook_plus_23029\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004135.lean\",\"f5a223a31f3a60523408ddbfa11397c81db33bbba1f9bcb29a256c45f07128c9\",0,\"lean_workbook_plus_23836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367883,
+      "path": "data/train/p4e/oproofs-s00002-r00004132-n000004-0000-b9417ef269caec18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b9417ef269caec18b2c78fc6efd8e9ca2267f87819da9036ab6b6225668f1c81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004136-n000004.json b/manifests/batches/oproofs/s00002-r00004136-n000004.json
index f9c2bd30e431f7891c397c0446a16afac8fb1972..331e61f944bb964014f3e964998cafb3c9daa000 100644
--- a/manifests/batches/oproofs/s00002-r00004136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004136-n000004",
   "batch_fingerprint": "e90616a2937ecbf7ce27624815e3f0f0209dc8dcb5499aa7f28fdecd9e5705e7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004136-n000004-0000-f039a6973224e5de.parquet",
-      "sha256": "f039a6973224e5de116a1ede11357cd923c410f6774713a39c052559c8a624f3",
-      "bytes": 285292,
-      "rows": 16,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004136-n000004-0000-3522cab6b0ba865d.parquet",
-      "sha256": "3522cab6b0ba865d2f22649e0d24ec14fe026656d3a4755679567ce73253fa9d",
-      "bytes": 88776,
-      "rows": 7,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004137.lean\",\"30b023ab74db004e113bca6c5a6f4acfed4e298527578cd808fcc6ef87a1e31a\",0,\"lean_workbook_plus_25266\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004138.lean\",\"d975fc1355233b17d3e066b2f2f3223179482ed897e529e02922a5710002b064\",0,\"lean_workbook_plus_2311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004139.lean\",\"556a85b7e2e3246e1a900c20edf1e18bc48ef2fdda1499373a4f57726d98965d\",0,\"lean_workbook_plus_23265\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285292,
+      "path": "data/train/p10/oproofs-s00002-r00004136-n000004-0000-f039a6973224e5de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f039a6973224e5de116a1ede11357cd923c410f6774713a39c052559c8a624f3"
+    },
+    {
+      "bytes": 88776,
+      "path": "data/internal_test/p10/oproofs-s00002-r00004136-n000004-0000-3522cab6b0ba865d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3522cab6b0ba865d2f22649e0d24ec14fe026656d3a4755679567ce73253fa9d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004140-n000004.json b/manifests/batches/oproofs/s00002-r00004140-n000004.json
index 5e8ec8d4a851fd80ef716d5da7e0657dbb45a9c5..36ba623e3442fc23d8b9f641f346c26fc3b0f954 100644
--- a/manifests/batches/oproofs/s00002-r00004140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004140-n000004",
   "batch_fingerprint": "29c9c918d3a9d4d280eac569a87029703112de8801cc2c998f3bc4735686e8ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004140-n000004-0000-a34e58c9d268fe5c.parquet",
-      "sha256": "a34e58c9d268fe5c1daa7b770896c1c0b3814e6a696e2bb4517c9c5a20799b03",
-      "bytes": 70006,
-      "rows": 5,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004140-n000004-0000-9f4f35bd307c748c.parquet",
-      "sha256": "9f4f35bd307c748c4521a4da69ec312da4de308f6abdbac54cde29c7472e61d0",
-      "bytes": 72926,
-      "rows": 7,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004141.lean\",\"98b740a04f0c20332dac028610a2b07d252d564dbc2690fd48bc1a84a9cbc80c\",0,\"lean_workbook_plus_25420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004142.lean\",\"c684a002cfd09d6def0890e1b319cebbe69d7a1b9e90200cdffc9d46a99d63c3\",0,\"lean_workbook_plus_25454\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004143.lean\",\"a1ad690a558c008182b824ed7d4b86f6f80194e90dc69086a5ee44a0a5c77070\",0,\"lean_workbook_plus_25604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70006,
+      "path": "data/train/p1c/oproofs-s00002-r00004140-n000004-0000-a34e58c9d268fe5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a34e58c9d268fe5c1daa7b770896c1c0b3814e6a696e2bb4517c9c5a20799b03"
+    },
+    {
+      "bytes": 72926,
+      "path": "data/internal_test/p1c/oproofs-s00002-r00004140-n000004-0000-9f4f35bd307c748c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9f4f35bd307c748c4521a4da69ec312da4de308f6abdbac54cde29c7472e61d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004144-n000004.json b/manifests/batches/oproofs/s00002-r00004144-n000004.json
index a4d6e22aaf2cf7e4e91b73fec4c17cb40bc31cd7..6d5342b882b8ad1514c5c9e07d79a20c9cef6e2f 100644
--- a/manifests/batches/oproofs/s00002-r00004144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004144-n000004",
   "batch_fingerprint": "c3351610891075a9927f1339d353fc815bf05ad24e59de138aa7e0c793edfbd1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004144-n000004-0000-685cd50673c2cc7a.parquet",
-      "sha256": "685cd50673c2cc7a04cf289222eaa3ca135913d465b1e32faa4c7dd966359d61",
-      "bytes": 162109,
-      "rows": 17,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004145.lean\",\"6863cecf20eecc7f53df8f8708f956e256b1b0da8ffa93b9245712d0af5287af\",0,\"lean_workbook_plus_23028\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004146.lean\",\"71933cdacfe869f3ddbc67ab5e227b54f9f5f5ca9a21546cf8cc11ac9db71bb3\",0,\"lean_workbook_plus_25486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004147.lean\",\"c43e7555eb15e5a97393db750c24f28e59057c02c9d8dbb06e65e398e54e2538\",0,\"lean_workbook_plus_25250\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162109,
+      "path": "data/train/pdf/oproofs-s00002-r00004144-n000004-0000-685cd50673c2cc7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "685cd50673c2cc7a04cf289222eaa3ca135913d465b1e32faa4c7dd966359d61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004148-n000004.json b/manifests/batches/oproofs/s00002-r00004148-n000004.json
index 7b0adfc8a22adf1d53d19fdd6d042c39ec788484..9dfb3e7eb95390ccb373be3cee6c5da11876b67f 100644
--- a/manifests/batches/oproofs/s00002-r00004148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004148-n000004",
   "batch_fingerprint": "db0db8be0d0aedfc6ae03519ec89971b14d6794088b71ccf2fc724d1af59869f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004148-n000004-0000-b9f5d566a8883ff8.parquet",
-      "sha256": "b9f5d566a8883ff8b593b59ce1a97e9e7bd80d1437fd499d56e3a2166624b03d",
-      "bytes": 153669,
-      "rows": 16,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004149.lean\",\"1e2a2f55488ea3136525fb8c7f376bf6eb3cb577a78c4fe04e100f4f2d02ead3\",0,\"lean_workbook_plus_25041\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004150.lean\",\"d959edb4e125678f117ccf2022f786c7cd7eb65dc7ac957a70163e25eb1f0aac\",0,\"lean_workbook_plus_25691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004151.lean\",\"1ec9a5ddfa908f1108eb772c33fd8525cbd922b33646c349ef543e0f792c9b7f\",0,\"lean_workbook_plus_25213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153669,
+      "path": "data/train/p62/oproofs-s00002-r00004148-n000004-0000-b9f5d566a8883ff8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b9f5d566a8883ff8b593b59ce1a97e9e7bd80d1437fd499d56e3a2166624b03d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004152-n000004.json b/manifests/batches/oproofs/s00002-r00004152-n000004.json
index 81ce095ae7c5af1a02fc35a5c3f65d6fe7ed79be..901efae573287b53a97b7898d7c896629cbbd3af 100644
--- a/manifests/batches/oproofs/s00002-r00004152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004152-n000004",
   "batch_fingerprint": "e5c532c8e446a3e13795dcaf6b806f72eb38b30d344207a76dc784691ff0210b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004152-n000004-0000-f0384fad35934b8a.parquet",
-      "sha256": "f0384fad35934b8a70c5d2d8a1c711188a34f377d900df337c0ebd36991be634",
-      "bytes": 813484,
-      "rows": 28,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004152-n000004-0000-c442e3fa00b6fc4b.parquet",
-      "sha256": "c442e3fa00b6fc4b2b278d4404014de5eeecfce70ca67c0eb9a46bd0186b768b",
-      "bytes": 117065,
-      "rows": 7,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4153",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004153.lean\",\"c9ad601146d5d544ce58f8b5c50ba6b4184d34d1a6fe7ca42f96f160a620df7d\",0,\"lean_workbook_plus_25429\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004154.lean\",\"efa57c0e74eaa122f043f1bd23afdc8e010a4e0369a0cc1aafb539f620bb466f\",0,\"lean_workbook_plus_23440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004155.lean\",\"3e736a7d938494b45dbf8d1e475ea762bef28a02c142fe13523e85dbb983692b\",0,\"lean_workbook_plus_23871\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 813484,
+      "path": "data/train/p77/oproofs-s00002-r00004152-n000004-0000-f0384fad35934b8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f0384fad35934b8a70c5d2d8a1c711188a34f377d900df337c0ebd36991be634"
+    },
+    {
+      "bytes": 117065,
+      "path": "data/internal_test/p77/oproofs-s00002-r00004152-n000004-0000-c442e3fa00b6fc4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c442e3fa00b6fc4b2b278d4404014de5eeecfce70ca67c0eb9a46bd0186b768b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004156-n000004.json b/manifests/batches/oproofs/s00002-r00004156-n000004.json
index 4a9019d179f24b477714f411915e4cc0f3a38639..89fc73ff99ce2ae7281892af5fa078baa3e4c181 100644
--- a/manifests/batches/oproofs/s00002-r00004156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004156-n000004",
   "batch_fingerprint": "08b8ea76e0acc679c12fea157b17ce488c75920397f0824985632c2a20fd1d4b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004156-n000004-0000-a3d01c54048ec990.parquet",
-      "sha256": "a3d01c54048ec990ac9320dfe23115bd0f64f6083f3a886a4d4afeccc5b57d73",
-      "bytes": 65423,
-      "rows": 6,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004156-n000004-0000-d9e5ff1113c667e2.parquet",
-      "sha256": "d9e5ff1113c667e2e8ebfec881907bcdb65b5628b06321b4b850d869c5049fa3",
-      "bytes": 64999,
-      "rows": 6,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004157.lean\",\"bbd9923199ea8793d900d723f3e3bbf45b4547f501bc5d796b162adc04d25fe7\",0,\"lean_workbook_plus_25348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004158.lean\",\"77493fc8f96ea1618e20d98d73c8e12512e96c7054f35930e490dcf67f08548e\",0,\"lean_workbook_plus_25653\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004159.lean\",\"a2b0c9a3f2af251520060e147c4b71a109c5ff39894aef8e5dd196e4ab9658ff\",0,\"lean_workbook_plus_24598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65423,
+      "path": "data/train/p1d/oproofs-s00002-r00004156-n000004-0000-a3d01c54048ec990.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a3d01c54048ec990ac9320dfe23115bd0f64f6083f3a886a4d4afeccc5b57d73"
+    },
+    {
+      "bytes": 64999,
+      "path": "data/dev/p1d/oproofs-s00002-r00004156-n000004-0000-d9e5ff1113c667e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d9e5ff1113c667e2e8ebfec881907bcdb65b5628b06321b4b850d869c5049fa3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004160-n000004.json b/manifests/batches/oproofs/s00002-r00004160-n000004.json
index 161313d4d44dacb7b72ac6e99ebf1820291b478e..b95c89172f2a0eb6edd9aa66152a6c1ec59a26cc 100644
--- a/manifests/batches/oproofs/s00002-r00004160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004160-n000004",
   "batch_fingerprint": "f8c93384d1a272c22ce9364e645eb6c32022e9c3f67d01c76623fe5bd0eb2f28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004160-n000004-0000-49b0d656ad17b5e1.parquet",
-      "sha256": "49b0d656ad17b5e14fd672829a63d3ab4cd15e4dc5cb61424cf4e06eacf6426c",
-      "bytes": 217129,
-      "rows": 21,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004161.lean\",\"02a1239458f83c275b9050f069fd497a716c6b735c0abbf929095fef9cda4771\",0,\"lean_workbook_plus_25748\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004162.lean\",\"4cd8174d63fd53df0639b405850e3d338d6654342cf7704c1478b52edcc00043\",0,\"lean_workbook_plus_25755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004163.lean\",\"7b59f2d6225d79281a00e18bd4ac7d0b451d88a72b0c47a20fe3fcebe02c1ce7\",0,\"lean_workbook_plus_25184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217129,
+      "path": "data/train/pbd/oproofs-s00002-r00004160-n000004-0000-49b0d656ad17b5e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "49b0d656ad17b5e14fd672829a63d3ab4cd15e4dc5cb61424cf4e06eacf6426c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004164-n000004.json b/manifests/batches/oproofs/s00002-r00004164-n000004.json
index f347ca9474bb861c7b9bdfca38f0d58b23766192..b1529d5a03fd77bb9fe049b0dfa381f49d396f11 100644
--- a/manifests/batches/oproofs/s00002-r00004164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004164-n000004",
   "batch_fingerprint": "ccc6d303f2325a1160ffa5c1a947ac38966fe1d438c1c2c5718d331ba95a7d2a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004164-n000004-0000-78ecb069506e53ce.parquet",
-      "sha256": "78ecb069506e53ce9921ee6269cb689b23214324deb5d34a16401151b039cb04",
-      "bytes": 137841,
-      "rows": 16,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4165",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004165.lean\",\"81d82aab2f6f423d2522da13090fc43db5010e3a0d34fba1024867ef8bc7ca71\",0,\"lean_workbook_plus_25101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004166.lean\",\"312bd81fc208cb5a2dc2b51487f0c04b8e58c1b8efad49240e33e462698ccd73\",0,\"lean_workbook_plus_25912\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004167.lean\",\"828682a9d5f407121b9102f37f6c409021ce1cdd0eb706dc5b658bdb07ea2bab\",0,\"lean_workbook_plus_25237\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137841,
+      "path": "data/train/pc3/oproofs-s00002-r00004164-n000004-0000-78ecb069506e53ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "78ecb069506e53ce9921ee6269cb689b23214324deb5d34a16401151b039cb04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004168-n000004.json b/manifests/batches/oproofs/s00002-r00004168-n000004.json
index d26eb9c4a1dfd9ac3bac924e912138327808608b..7b07c828cd9e02860a1fd506716bd7ce37204f5a 100644
--- a/manifests/batches/oproofs/s00002-r00004168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004168-n000004",
   "batch_fingerprint": "e815b24a8a6cbae60d6c6a4be29a94c91b3586ea04a907a55c3c6cb50ee1bee7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004168-n000004-0000-172bdb9fd60ea655.parquet",
-      "sha256": "172bdb9fd60ea65549d1e955166490f3f47bbc092c5c9a1da6c6a4deb4ddeb2c",
-      "bytes": 308024,
-      "rows": 23,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004169.lean\",\"5a01cbe642c78dbec1d96195fbc61be4b92c6cebefddd48e75c42ca57e00d756\",0,\"lean_workbook_plus_25638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004170.lean\",\"27027cfab8b20a5548e4289c7e0ab964cf3e8e5340c91ba00449cdb9d58747cf\",0,\"lean_workbook_plus_24465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004171.lean\",\"6c0dd7c57665fd9da42827acae34e71fb873a77da3f051789fa54124875e8b7d\",0,\"lean_workbook_plus_2528\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308024,
+      "path": "data/train/p1a/oproofs-s00002-r00004168-n000004-0000-172bdb9fd60ea655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "172bdb9fd60ea65549d1e955166490f3f47bbc092c5c9a1da6c6a4deb4ddeb2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004172-n000004.json b/manifests/batches/oproofs/s00002-r00004172-n000004.json
index 1317bd690e0b26dd2746a55f7d52902d7e2f3f45..07e2dd6a0e7ea1c90e0481e47dc446ea0f13d7f1 100644
--- a/manifests/batches/oproofs/s00002-r00004172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004172-n000004",
   "batch_fingerprint": "65ecaa31023809787d97aff07dd19ebd38bf2c4ae052b4d24fa4046bdf5785a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004172-n000004-0000-fdf6d64925d8dddf.parquet",
-      "sha256": "fdf6d64925d8dddf251362a797644787cb6cab39e359a3c404a3a54f1a540b42",
-      "bytes": 143228,
-      "rows": 10,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004173.lean\",\"f541d4c6f8863013db69ae384a690a6035de69aa42523f52fd603af12ccfa57a\",0,\"lean_workbook_plus_23489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004174.lean\",\"7ceac38b202d7c95e85bbe2041ebe5d8f760ddb26eaed8a760077cb62ed925ec\",0,\"lean_workbook_plus_25759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004175.lean\",\"d85845f59a70631b289cd382fe23bb32d5b1dc1ab6d7e49dae6e47d79f994aa2\",0,\"lean_workbook_plus_25128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143228,
+      "path": "data/train/p5b/oproofs-s00002-r00004172-n000004-0000-fdf6d64925d8dddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fdf6d64925d8dddf251362a797644787cb6cab39e359a3c404a3a54f1a540b42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004176-n000004.json b/manifests/batches/oproofs/s00002-r00004176-n000004.json
index 8b1e2a7de0c2ee8e92efd37c99e4afc99dc23748..a52019adce3394b66ae5eb9a7290c3c8df5e1cf0 100644
--- a/manifests/batches/oproofs/s00002-r00004176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004176-n000004",
   "batch_fingerprint": "a50eb062877f4fa454192b4a2e9c8cf57c9be05593a4acd85c4adb344cbdfa7b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004176-n000004-0000-a81a39aea517ed34.parquet",
-      "sha256": "a81a39aea517ed3491bed5e7b4fc663befbb5d37054bf4697f2785864a98231e",
-      "bytes": 112676,
-      "rows": 15,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4177",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004177.lean\",\"60bb24ed52935df6f9e71bb7c348b9c69ba088934e72d4dd13d0c03f524484c8\",0,\"lean_workbook_plus_25860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004178.lean\",\"0fdd917d978d5dedc5b89b7734697d7734d268907d4effea906b46d45d6d745f\",0,\"lean_workbook_plus_26032\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004179.lean\",\"0e09f3665d4857739fae076bad8bcb250f04f44eeb27d4cc6da616b6929cc5b0\",0,\"lean_workbook_plus_26069\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112676,
+      "path": "data/train/pb4/oproofs-s00002-r00004176-n000004-0000-a81a39aea517ed34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a81a39aea517ed3491bed5e7b4fc663befbb5d37054bf4697f2785864a98231e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004180-n000004.json b/manifests/batches/oproofs/s00002-r00004180-n000004.json
index 372c94aca23067de9c1f2a80731d186a338ddf9f..0d93cf9179224f0dd5a62bea02f958d001145cdb 100644
--- a/manifests/batches/oproofs/s00002-r00004180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004180-n000004",
   "batch_fingerprint": "8b42ae40acdb484615ce31d31052a74788ec117d1952779353d99996bd34f24c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004180-n000004-0000-c2f83354ef392e43.parquet",
-      "sha256": "c2f83354ef392e4312ff3c034f269c95790623a5cc31f197f78e6a44bb0515ce",
-      "bytes": 272761,
-      "rows": 13,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004180-n000004-0000-fab67feb61cfd321.parquet",
-      "sha256": "fab67feb61cfd3210a660a70166f52937d66dde13577bf1ce74d158c7d8422fe",
-      "bytes": 60769,
-      "rows": 5,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004181.lean\",\"d143a8b4189d69856c879e8877290a7fb86aeed84523cca56d7cc8b9191cd67f\",0,\"lean_workbook_plus_26090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004182.lean\",\"93e599ff13a642a074573f7edcd822e4cf4acfeb5247b6fd5bb77ca4c2ee5690\",0,\"lean_workbook_plus_25303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004183.lean\",\"51ba14320f6544d650df8af49c22a737c9e46463532487cbf06e2bcc77601d9a\",0,\"lean_workbook_plus_26136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272761,
+      "path": "data/train/p98/oproofs-s00002-r00004180-n000004-0000-c2f83354ef392e43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c2f83354ef392e4312ff3c034f269c95790623a5cc31f197f78e6a44bb0515ce"
+    },
+    {
+      "bytes": 60769,
+      "path": "data/internal_test/p98/oproofs-s00002-r00004180-n000004-0000-fab67feb61cfd321.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fab67feb61cfd3210a660a70166f52937d66dde13577bf1ce74d158c7d8422fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004184-n000004.json b/manifests/batches/oproofs/s00002-r00004184-n000004.json
index cc42b431126d83c94274c780e0e56ff8a3e88c1a..24df72fcfa023674b44ec702a3440af15ec688a2 100644
--- a/manifests/batches/oproofs/s00002-r00004184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004184-n000004",
   "batch_fingerprint": "390288a5026ba573730d6ab41665e58732e2424ff99e2285ce33927685cae6f0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004184-n000004-0000-e65cfaf204d56e0e.parquet",
-      "sha256": "e65cfaf204d56e0e8e2119fdb8fdcfa0b534796101641a6805bf4491202ed384",
-      "bytes": 397137,
-      "rows": 16,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004184-n000004-0000-ae87145805202483.parquet",
-      "sha256": "ae87145805202483cd53cdea3e0772827edea01806f2b20f04f1fdf112726f64",
-      "bytes": 41883,
-      "rows": 3,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004185.lean\",\"6336734810187422b3e5767df691db1e9c6a938269a8b9212d001b945ac90a16\",0,\"lean_workbook_plus_25915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004186.lean\",\"01d177cccbd47a00c8bcea803107e58ba9359796f6fbcee84b48d0ee34f807dd\",0,\"lean_workbook_plus_26119\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004187.lean\",\"d1f4559a5ddb1bcdafca406a70b746067e44eefb2fafdd0246248f5fc33ccdb6\",0,\"lean_workbook_plus_25094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397137,
+      "path": "data/train/p76/oproofs-s00002-r00004184-n000004-0000-e65cfaf204d56e0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e65cfaf204d56e0e8e2119fdb8fdcfa0b534796101641a6805bf4491202ed384"
+    },
+    {
+      "bytes": 41883,
+      "path": "data/internal_test/p76/oproofs-s00002-r00004184-n000004-0000-ae87145805202483.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ae87145805202483cd53cdea3e0772827edea01806f2b20f04f1fdf112726f64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004188-n000004.json b/manifests/batches/oproofs/s00002-r00004188-n000004.json
index d4b6ad1e8a469fb1ccb358c7a9e5bdd702b4402e..904a8b13fae936ee354fac968f7be1cf7c80fa1c 100644
--- a/manifests/batches/oproofs/s00002-r00004188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004188-n000004",
   "batch_fingerprint": "49341b15265cab574fa765e1ac40e5b7afde2894506ef49bcf8e5eacf39dac8d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004188-n000004-0000-6003b8ff910f5fd5.parquet",
-      "sha256": "6003b8ff910f5fd5f9e179059d19fc409e60965241cb4f44c2dd30d9a2eb0c40",
-      "bytes": 187263,
-      "rows": 19,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004189.lean\",\"46649f6b932e6ed523b2e7dffa0dbb5e0b2a3cda24833135c4edf165a3e40306\",0,\"lean_workbook_plus_25015\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004190.lean\",\"ab4e33023f3daa34d7e5f0258f299966e02a6d099ca20fd664455afec9e9bec4\",0,\"lean_workbook_plus_25809\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004191.lean\",\"91ee8ba5e46c0a46a7d9298b89b881a2f0bdeddaae3ea664d8cc2611f1b32a6d\",0,\"lean_workbook_plus_23837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187263,
+      "path": "data/train/pa0/oproofs-s00002-r00004188-n000004-0000-6003b8ff910f5fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6003b8ff910f5fd5f9e179059d19fc409e60965241cb4f44c2dd30d9a2eb0c40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004192-n000004.json b/manifests/batches/oproofs/s00002-r00004192-n000004.json
index 3cb0d14015b49f231c3f499e23d3873a1a734bf2..a6de27fcab5f3733caefcfee397a6fb916210419 100644
--- a/manifests/batches/oproofs/s00002-r00004192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004192-n000004",
   "batch_fingerprint": "7c4f476519201be2387fa474246d6b1c28f5ed57a60c931ff1994391c2bd9864",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004192-n000004-0000-22b3faac2d0dd0e1.parquet",
-      "sha256": "22b3faac2d0dd0e1bc5f049c79f097de0a413404dc753b9770978f4b8b99dfb8",
-      "bytes": 209616,
-      "rows": 14,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004193.lean\",\"3608dca66f95d006ce7ba389aa910f89fd8ab329f167d1235cfda51ba67b86de\",0,\"lean_workbook_plus_25761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004194.lean\",\"4333c693d7581b5db726051b62db10cda2846ff1e9432f3c5c9e284bd91db2ab\",0,\"lean_workbook_plus_26239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004195.lean\",\"33c6b0a33f8a1359134f05f4ee121265c5c3cd15b36efe5d5d272d4220e4ecfc\",0,\"lean_workbook_plus_24225\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209616,
+      "path": "data/train/pe3/oproofs-s00002-r00004192-n000004-0000-22b3faac2d0dd0e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "22b3faac2d0dd0e1bc5f049c79f097de0a413404dc753b9770978f4b8b99dfb8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004196-n000004.json b/manifests/batches/oproofs/s00002-r00004196-n000004.json
index e164502ab154d5aaef0c850e05175abbe870cc4c..b121bfe4d3df74c4164fbe70677c0d574c1dc38c 100644
--- a/manifests/batches/oproofs/s00002-r00004196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004196-n000004",
   "batch_fingerprint": "4b1763c6f283f30d141c188b01ca00687b1b38543e05e1917f581a5c2c59cdce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004196-n000004-0000-220393726efcc4c5.parquet",
-      "sha256": "220393726efcc4c5d54a329376f408de34a93b07e4be114b114fa1b29d3012a0",
-      "bytes": 299168,
-      "rows": 10,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004197.lean\",\"b3d32e0a08e6fdbc53e856fbe7b7d25fefdd8dacb894080e5c52cddeba8b1a5f\",0,\"lean_workbook_plus_25436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004198.lean\",\"75b16d17debce8ddc9cb1d5886b3f9aa3b6ab6cd572e4119b93a0607bbc3661c\",0,\"lean_workbook_plus_24266\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004199.lean\",\"5f87e8f09b353a512973061ba8264dad3913189b37abdbe6a11d3a4ea9316edc\",0,\"lean_workbook_plus_26120\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299168,
+      "path": "data/train/p89/oproofs-s00002-r00004196-n000004-0000-220393726efcc4c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "220393726efcc4c5d54a329376f408de34a93b07e4be114b114fa1b29d3012a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004200-n000004.json b/manifests/batches/oproofs/s00002-r00004200-n000004.json
index f5fa69b939cca2b071ec350497d402d3ce151c54..df07d49cd70fa215c08d1c314f133f68baa94ad6 100644
--- a/manifests/batches/oproofs/s00002-r00004200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004200-n000004",
   "batch_fingerprint": "93b92c095f12dd5a98dfb8e5d865d47480cc16aeb3cb17fb7566c14735bd5452",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004200-n000004-0000-cc5c08e3e423845b.parquet",
-      "sha256": "cc5c08e3e423845bc265eb90f7eef5df03067091a3360a4927316044d89f8159",
-      "bytes": 571417,
-      "rows": 23,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004201.lean\",\"9e8891470f5f4bf001cbffd4065585e0712d435e97fa36359bb3e2fe5e60c67e\",0,\"lean_workbook_plus_25151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004202.lean\",\"913f3b63ec3b32cb5f76595df7f49b62f08cbc0a7b3f43ee6ccf119be9f41a17\",0,\"lean_workbook_plus_25916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004203.lean\",\"95fef0375e71c626a7099019ed90f0450095bf2e3490e8c4101f3489544f057a\",0,\"lean_workbook_plus_23910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 571417,
+      "path": "data/train/p21/oproofs-s00002-r00004200-n000004-0000-cc5c08e3e423845b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "cc5c08e3e423845bc265eb90f7eef5df03067091a3360a4927316044d89f8159"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004204-n000004.json b/manifests/batches/oproofs/s00002-r00004204-n000004.json
index 4b92c86694a377c8a8da1c2f6912cacb76d2d996..e737332e3c0d3d4d05a8bd0914f783cb04ad4949 100644
--- a/manifests/batches/oproofs/s00002-r00004204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004204-n000004",
   "batch_fingerprint": "326a0fd1039c02c5b35987565f0c2908e12cec0fb6c74fb5e8de9f5a04ecd5e2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004204-n000004-0000-2143ac673e9151b0.parquet",
-      "sha256": "2143ac673e9151b04481cb2536c029fac2436fad61a47da8268607cf70f0860a",
-      "bytes": 127732,
-      "rows": 8,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004204-n000004-0000-a12faffea059ff08.parquet",
-      "sha256": "a12faffea059ff082495bd3b4871b80b613d5a4a09de22e267d1b8a9f8a7aa92",
-      "bytes": 90464,
-      "rows": 9,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004205.lean\",\"f70c9f881984a473375c8edb64911cf46310f235216f1a2c3be6e8cad1c0c334\",0,\"lean_workbook_plus_26014\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004206.lean\",\"d30a3ec3f70a8a808d38f221ccc6ac5104910c4f0c0bf0c03682bd7e3b6b94cb\",0,\"lean_workbook_plus_26368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004207.lean\",\"ae774e65f59db730b35e80eb239e490e68d49192d8a27a606174a23b3716a04b\",0,\"lean_workbook_plus_26372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127732,
+      "path": "data/train/p99/oproofs-s00002-r00004204-n000004-0000-2143ac673e9151b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2143ac673e9151b04481cb2536c029fac2436fad61a47da8268607cf70f0860a"
+    },
+    {
+      "bytes": 90464,
+      "path": "data/internal_test/p99/oproofs-s00002-r00004204-n000004-0000-a12faffea059ff08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a12faffea059ff082495bd3b4871b80b613d5a4a09de22e267d1b8a9f8a7aa92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004208-n000004.json b/manifests/batches/oproofs/s00002-r00004208-n000004.json
index 17e7f16f378e3d1b60198d2e8486c3d6550653f3..608183377bc82c896530d253a8092587c4e493bd 100644
--- a/manifests/batches/oproofs/s00002-r00004208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004208-n000004",
   "batch_fingerprint": "34a9c3946de708810cc495d7cb36d645949f8f5520c7f6156b7658aca45b5f88",
   "evidence": {
@@ -28,22 +27,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004208-n000004-0000-d935cf097c17aacf.parquet",
-      "sha256": "d935cf097c17aacfe2eaeb2236a2f9cd1d838ecd8f371da60a0ac9b26762dd81",
-      "bytes": 156166,
-      "rows": 15,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    },
-    {
-      "path": "data/quarantine/oproofs-s00002-r00004208-n000004-0000-2f106efbf8667da0.parquet",
-      "sha256": "2f106efbf8667da0bf6e1914cf49f0520093ce5d2024eede8105848b8bab11fc",
-      "bytes": 92303,
-      "rows": 6,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4209",
@@ -55,5 +39,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004209.lean\",\"7b4c45bfa1f65c1a35914e0a0bbde94cb0a7480b594e5cf24e3934a400664e6d\",0,\"lean_workbook_plus_26358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004210.lean\",\"1bd5d39470111a50d05c6c1337492726618837c613331816aea3c7fea1bdcc44\",0,\"lean_workbook_plus_26263\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004211.lean\",\"7239d75c8d5e3297572b90772d0e0e0b7830c530682720cbad23b6f4abd4b4a4\",0,\"lean_workbook_plus_25741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156166,
+      "path": "data/train/p84/oproofs-s00002-r00004208-n000004-0000-d935cf097c17aacf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d935cf097c17aacfe2eaeb2236a2f9cd1d838ecd8f371da60a0ac9b26762dd81"
+    },
+    {
+      "bytes": 92303,
+      "path": "data/quarantine/p84/oproofs-s00002-r00004208-n000004-0000-2f106efbf8667da0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2f106efbf8667da0bf6e1914cf49f0520093ce5d2024eede8105848b8bab11fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004212-n000004.json b/manifests/batches/oproofs/s00002-r00004212-n000004.json
index 84e6ba377b7c756245ff2da5d5e957aed363d91a..ccb95a41b2fd70cba1f013778b8d12f27931db16 100644
--- a/manifests/batches/oproofs/s00002-r00004212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004212-n000004",
   "batch_fingerprint": "3339deb84cab58334b07e348aa1b6d479a39d228932cb001bcfcc81a3c763e0d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004212-n000004-0000-657e07926b4de024.parquet",
-      "sha256": "657e07926b4de02427b383f2316a0694c41bb6d6fbcf9e64ac5397fea5533506",
-      "bytes": 188929,
-      "rows": 11,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004213.lean\",\"3a020cea8441cbe232594d08ac65e4749b8f8efaaa051556b4e49f0136c95f19\",0,\"lean_workbook_plus_25066\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004214.lean\",\"33e2a5111e3b1b000d49ba8ca21bc6c679023e022e94c64b27d826483ba57ef8\",0,\"lean_workbook_plus_26353\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004215.lean\",\"dcde46dc3c6dbc96eb821f0b7751bdcb3f9f60ff0c598145bc1d54f2fe4619aa\",0,\"lean_workbook_plus_26407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188929,
+      "path": "data/train/p4d/oproofs-s00002-r00004212-n000004-0000-657e07926b4de024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "657e07926b4de02427b383f2316a0694c41bb6d6fbcf9e64ac5397fea5533506"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004216-n000004.json b/manifests/batches/oproofs/s00002-r00004216-n000004.json
index a867e69ee31d8fc722c178279038eec0c5b61c55..d4c624184f6f68e15ef0105bf1d679d2f7371e2d 100644
--- a/manifests/batches/oproofs/s00002-r00004216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004216-n000004",
   "batch_fingerprint": "d31f273a355e3e8cc72062d6dfc81094971d127b835974932adc5a0508df4e7d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004216-n000004-0000-aa16593696eadd8a.parquet",
-      "sha256": "aa16593696eadd8a37f2f0d2d356afdc30403af5db102f2982837e5fbb361a00",
-      "bytes": 367242,
-      "rows": 29,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004217.lean\",\"473e16f123e3f1daca48d59701ccb583f36ae0022f0e35d92bbe1f2d3279986b\",0,\"lean_workbook_plus_25909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004218.lean\",\"50a8c240f6da9e05e221d01e6856c5c2b2195d53539e57e7f08a5201367de621\",0,\"lean_workbook_plus_26233\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004219.lean\",\"e8d0f105fd1cddfd9aad9d7d5d2e709673b010f9e38e67939162a3326d17eda5\",0,\"lean_workbook_plus_2572\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 367242,
+      "path": "data/train/p57/oproofs-s00002-r00004216-n000004-0000-aa16593696eadd8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "aa16593696eadd8a37f2f0d2d356afdc30403af5db102f2982837e5fbb361a00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004220-n000004.json b/manifests/batches/oproofs/s00002-r00004220-n000004.json
index 14450ff98a24740059e4af3c53bf0a05cdba3b2c..e926a2e6f89d2321d02e51f646f9081e295a430a 100644
--- a/manifests/batches/oproofs/s00002-r00004220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004220-n000004",
   "batch_fingerprint": "76bb59426c8b7f66a4355322c9bd4c9139b1ffef676f4d8562552ae44589727e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004220-n000004-0000-be7cf12f68860024.parquet",
-      "sha256": "be7cf12f68860024dd831810f054b12094eb0d9b2d683c83b02129cac702c2ce",
-      "bytes": 268760,
-      "rows": 25,
-      "revision": "d12cc6343415be10f7a6255575237544d8e685d3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004221.lean\",\"87d6947f16602f3d971fe823ee27de58ae5554736e2675f532a1178c3002896b\",0,\"lean_workbook_plus_23515\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004222.lean\",\"ed31635f1ba815a987af7f3b70bdd9f17968eb2cfb742e04fb666970468babd2\",0,\"lean_workbook_plus_25414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004223.lean\",\"938b78591d34a60bcfe6e2de1684da2f6196e3e14ad2a9b96229285c116d2b52\",0,\"lean_workbook_plus_25674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268760,
+      "path": "data/train/pb9/oproofs-s00002-r00004220-n000004-0000-be7cf12f68860024.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "be7cf12f68860024dd831810f054b12094eb0d9b2d683c83b02129cac702c2ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004224-n000004.json b/manifests/batches/oproofs/s00002-r00004224-n000004.json
index 9a7b17b5a5586bd0ab60c763357611dcec14c37f..2d8f47a0e0d6c100dcb82e0555ab2ccd04c19dc4 100644
--- a/manifests/batches/oproofs/s00002-r00004224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004224-n000004",
   "batch_fingerprint": "57fc1371853981036e17ac2b27e1fa0fbf2922072d3222111d81b44ccecd9bef",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004224-n000004-0000-860f0e10d5d79f63.parquet",
-      "sha256": "860f0e10d5d79f636c2d3cd6baa4a71a5bfcbaba8bc814d53a589eb12751995a",
-      "bytes": 252424,
-      "rows": 13,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004225.lean\",\"247061d15a54d562da48c614eab10fabe25bbfb7d49bcf2b1197b631d8ffe589\",0,\"lean_workbook_plus_2619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004226.lean\",\"43bde3a0f71b121872804783cea73f4f9548b1a29ac7ddc91f27076a01af9d24\",0,\"lean_workbook_plus_25401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004227.lean\",\"835b37aa687c2c7c1b488de47f55b3c150d100aba7ac582ee833995a3beb8af2\",0,\"lean_workbook_plus_25721\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252424,
+      "path": "data/train/p35/oproofs-s00002-r00004224-n000004-0000-860f0e10d5d79f63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "860f0e10d5d79f636c2d3cd6baa4a71a5bfcbaba8bc814d53a589eb12751995a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004228-n000004.json b/manifests/batches/oproofs/s00002-r00004228-n000004.json
index 914ed8724a31f11e58748acad1ea8796d91fb397..e447b90f48f3446c78f023677e08883750ae1301 100644
--- a/manifests/batches/oproofs/s00002-r00004228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004228-n000004",
   "batch_fingerprint": "acd696f961d9266dd611bf6982c6037576cbe31b25a1820c14c1d2d36c651261",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004228-n000004-0000-8a0cdb5bdf12c829.parquet",
-      "sha256": "8a0cdb5bdf12c8293330960bbc71197426490193dd21c4678c43a8e0ca57a1cf",
-      "bytes": 434689,
-      "rows": 17,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4229",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004229.lean\",\"3f72eed2b7ea90e14709bd231229f9e83a641ef7a664b2e319564dfce9892e3e\",0,\"lean_workbook_plus_25229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004230.lean\",\"f62c4510d4179af803655defe06e85d8bf4f5dd36a74f33c6dadf13eda09e759\",0,\"lean_workbook_plus_25307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004231.lean\",\"8e06dcd270ae9621c8392d3d3b7141313a89711ea5eca1738946b00695c58696\",0,\"lean_workbook_plus_23541\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434689,
+      "path": "data/train/p73/oproofs-s00002-r00004228-n000004-0000-8a0cdb5bdf12c829.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8a0cdb5bdf12c8293330960bbc71197426490193dd21c4678c43a8e0ca57a1cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004232-n000004.json b/manifests/batches/oproofs/s00002-r00004232-n000004.json
index 1bb6b921b82ae7833003973645e98eb5e43fba3c..00bad962cca5bea1d849ef4aa100516b9d8aee16 100644
--- a/manifests/batches/oproofs/s00002-r00004232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004232-n000004",
   "batch_fingerprint": "10d3f150edec7b28b5ec84011b39662d00c25787ba329eb5f5b498fb0b2a0908",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004232-n000004-0000-a22f435d67b3eeb9.parquet",
-      "sha256": "a22f435d67b3eeb9d0ed9e7190da8453c7215325f77d7cd0ade02e1b76e1cf76",
-      "bytes": 207095,
-      "rows": 13,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004233.lean\",\"8bbc0586dd3ebd1f21008d64b5c2da2a41de259749497dd86e56033f23607577\",0,\"lean_workbook_plus_26059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004234.lean\",\"39cd7ac36b46b7a1b40ec538ba34fb49c4ad3638c3d71fe4056e820eb1fe7549\",0,\"lean_workbook_plus_26328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004235.lean\",\"5a6b56de0f0a1e9ba141f21c32cfc0f7292c06b4124d6841ad0e5d1b819dda2a\",0,\"lean_workbook_plus_2573\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207095,
+      "path": "data/train/p77/oproofs-s00002-r00004232-n000004-0000-a22f435d67b3eeb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a22f435d67b3eeb9d0ed9e7190da8453c7215325f77d7cd0ade02e1b76e1cf76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004236-n000004.json b/manifests/batches/oproofs/s00002-r00004236-n000004.json
index 303fdc89a75827df7bf426e6a8cdb26eea947f20..418b7f3bc12a88aa47ba04be3e01991001dc8c3f 100644
--- a/manifests/batches/oproofs/s00002-r00004236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004236-n000004",
   "batch_fingerprint": "da20c777c9b510cf2a90ecb6832b9415a9552599aa30a7d4f542ecb855938127",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004236-n000004-0000-51a4a25e55ad95a7.parquet",
-      "sha256": "51a4a25e55ad95a7b7c0be0515d45ac4a29f369c8522bfa85106fe1b4148efee",
-      "bytes": 191220,
-      "rows": 8,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004236-n000004-0000-3cd325a8f6586cb4.parquet",
-      "sha256": "3cd325a8f6586cb480315de522421bce9a8b39ea7f7f7547836d43990da40f1a",
-      "bytes": 88508,
-      "rows": 3,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004237.lean\",\"6873eeeeee01ee297b7a2b11b554ce735b26bfbc90b09f5e42c1fbd44e6468cd\",0,\"lean_workbook_plus_25516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004238.lean\",\"6b8397e9d70fcef4ce44ee72f3c75f774b576434e0ef8fa9a2625dbf420889be\",0,\"lean_workbook_plus_25571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004239.lean\",\"a8f95d410477810a179082cbd3b68feec12857c1cf0b4eabb3958892c6680fd5\",0,\"lean_workbook_plus_25462\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191220,
+      "path": "data/train/p5c/oproofs-s00002-r00004236-n000004-0000-51a4a25e55ad95a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "51a4a25e55ad95a7b7c0be0515d45ac4a29f369c8522bfa85106fe1b4148efee"
+    },
+    {
+      "bytes": 88508,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00004236-n000004-0000-3cd325a8f6586cb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3cd325a8f6586cb480315de522421bce9a8b39ea7f7f7547836d43990da40f1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004240-n000004.json b/manifests/batches/oproofs/s00002-r00004240-n000004.json
index 1c1baea827c57278af462f1c516cb4220811411c..47d7371a60d2402f08734db342ff34884aea8523 100644
--- a/manifests/batches/oproofs/s00002-r00004240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004240-n000004",
   "batch_fingerprint": "c5189e1f8a524867c67031c368c690bff598b36d448465d897793c22a6b749f0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004240-n000004-0000-5482f91d4c66ff64.parquet",
-      "sha256": "5482f91d4c66ff64038fdeb89e8f02e68dbe734ff3ad936c9bbf6656c3100324",
-      "bytes": 495078,
-      "rows": 12,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004241.lean\",\"63930f051c15451fab258060e4910e7fe93af42a55ad57ce3f35de498e3d4743\",0,\"lean_workbook_plus_2433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004242.lean\",\"3d91f0ba2f157ed89d9370242bfb26b9d998665111e895b51d4cf09398b369d3\",0,\"lean_workbook_plus_24184\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004243.lean\",\"31bb5778a01fb80cd608e7f80a22a7df71d6da540f23534a75d1b7f9647afd43\",0,\"lean_workbook_plus_26038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 495078,
+      "path": "data/train/p6d/oproofs-s00002-r00004240-n000004-0000-5482f91d4c66ff64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5482f91d4c66ff64038fdeb89e8f02e68dbe734ff3ad936c9bbf6656c3100324"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004244-n000004.json b/manifests/batches/oproofs/s00002-r00004244-n000004.json
index 9ed3e5a29d1501c06cb70a1ff8126223f225294d..30a09c3aa289478fd13fb9d5694377489789a335 100644
--- a/manifests/batches/oproofs/s00002-r00004244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004244-n000004",
   "batch_fingerprint": "4a6dfdad9f0359cc4a00099eba2552ece27db757e111dae7322f8680fdf6378f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004244-n000004-0000-56fe83570000171d.parquet",
-      "sha256": "56fe83570000171de7034d40341ae1c042252ba88e0c0d65f078253c6544151d",
-      "bytes": 326150,
-      "rows": 8,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004244-n000004-0000-664b474a43d6cee1.parquet",
-      "sha256": "664b474a43d6cee14d865dd18171a4e044465ef9019b0ff5963755a85197e00b",
-      "bytes": 606547,
-      "rows": 10,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4245",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004245.lean\",\"09c3b45433f65dc208d514bf8e0a453d81a72650a3dd31fb9f3168017059ec28\",0,\"lean_workbook_plus_25929\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004246.lean\",\"01e960b5821331934927de265750daa7438b9ecba6ac45b32db231579f6509f3\",0,\"lean_workbook_plus_26272\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004247.lean\",\"d466a9eba935ce686f4af212610e6e720042573d26247076763aaf241beffc0c\",0,\"lean_workbook_plus_26228\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326150,
+      "path": "data/train/pa8/oproofs-s00002-r00004244-n000004-0000-56fe83570000171d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "56fe83570000171de7034d40341ae1c042252ba88e0c0d65f078253c6544151d"
+    },
+    {
+      "bytes": 606547,
+      "path": "data/internal_test/pa8/oproofs-s00002-r00004244-n000004-0000-664b474a43d6cee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "664b474a43d6cee14d865dd18171a4e044465ef9019b0ff5963755a85197e00b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004248-n000004.json b/manifests/batches/oproofs/s00002-r00004248-n000004.json
index 5f6452b88576d8be199d65b659fa9f16d357467d..c816dfa4cee01e185dc09f648d3fc0eb169236f0 100644
--- a/manifests/batches/oproofs/s00002-r00004248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004248-n000004",
   "batch_fingerprint": "e4d496106ee1052209613fcb3d590b5f9cf49f07f8ea9e3f9f5ebc95b1ea2166",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4248",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4249",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4250",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4251"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004248.lean\",\"ffbc443cd9472779bfc4443dc98408d7e774a7bb757eaae35ebdeab6c3257f69\",0,\"lean_workbook_plus_2581\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004249.lean\",\"310af5c33bc4fc12901245c64d7e68ed3e9c58c52bedbeed9d27d40bf446e897\",0,\"lean_workbook_plus_25544\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004250.lean\",\"4ed00a42f9babfff5d63d5da4e8ef5604e5298624363184766dfcab0eff22bb5\",0,\"lean_workbook_plus_26083\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004251.lean\",\"323e5b961d64dd66bebce7ab2273a5c87ed57d2f664bb06cc4e858427e6b93ec\",0,\"lean_workbook_plus_22863\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004248-n000004-0000-4000c2f5cc90575b.parquet",
-      "sha256": "4000c2f5cc90575b1def7ca69dc86fcd964a91fdf170acf42506c2ab0a85ea26",
       "bytes": 82422,
+      "path": "data/train/p5a/oproofs-s00002-r00004248-n000004-0000-4000c2f5cc90575b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
+      "sha256": "4000c2f5cc90575b1def7ca69dc86fcd964a91fdf170acf42506c2ab0a85ea26"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004248-n000004-0000-d82a5839253c62dd.parquet",
-      "sha256": "d82a5839253c62dd2e415e27892ca1ea99341ff2528c466110a9811bd130b3ed",
       "bytes": 922982,
+      "path": "data/internal_test/p5a/oproofs-s00002-r00004248-n000004-0000-d82a5839253c62dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
+      "sha256": "d82a5839253c62dd2e415e27892ca1ea99341ff2528c466110a9811bd130b3ed"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004248-n000004-0001-2f16590a972b2ba6.parquet",
-      "sha256": "2f16590a972b2ba6598a9b9a1dece16d3a7e6bb1b0e428193dea60437ee31141",
       "bytes": 435581,
+      "path": "data/internal_test/p5a/oproofs-s00002-r00004248-n000004-0001-2f16590a972b2ba6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
+      "sha256": "2f16590a972b2ba6598a9b9a1dece16d3a7e6bb1b0e428193dea60437ee31141"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4248",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4249",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4250",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4251"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004248.lean\",\"ffbc443cd9472779bfc4443dc98408d7e774a7bb757eaae35ebdeab6c3257f69\",0,\"lean_workbook_plus_2581\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004249.lean\",\"310af5c33bc4fc12901245c64d7e68ed3e9c58c52bedbeed9d27d40bf446e897\",0,\"lean_workbook_plus_25544\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004250.lean\",\"4ed00a42f9babfff5d63d5da4e8ef5604e5298624363184766dfcab0eff22bb5\",0,\"lean_workbook_plus_26083\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004251.lean\",\"323e5b961d64dd66bebce7ab2273a5c87ed57d2f664bb06cc4e858427e6b93ec\",0,\"lean_workbook_plus_22863\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004252-n000004.json b/manifests/batches/oproofs/s00002-r00004252-n000004.json
index 19b14c9ef6669fc9e535e123be43477685dbdc12..39b43a6e09eeaa7a3c69a33b72cf88f73c9c4be5 100644
--- a/manifests/batches/oproofs/s00002-r00004252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004252-n000004",
   "batch_fingerprint": "a9510d76c2f749bd78ccb9418afb8d065e92e1b9d307a9aaab33baea50ecdbc7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004252-n000004-0000-5a06da08911800ae.parquet",
-      "sha256": "5a06da08911800ae7d6a9d3595012c3d3330991ae4dafe666bddae02e4e92ab4",
-      "bytes": 1028625,
-      "rows": 20,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004253.lean\",\"c86c4e8fde9812b4199c1ab36a70d1d18a9af38ccd9f586d85abb3bb5767a839\",0,\"lean_workbook_plus_230\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004254.lean\",\"c0e8e78a0da5c315f5d61fa1059fa4324c4da3718837e058a77df93d3e047b8b\",0,\"lean_workbook_plus_24677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004255.lean\",\"c556bd4784128da6549d1f0dec3445f79d6f16466ba2e75b7f8cf106ea115509\",0,\"lean_workbook_plus_25569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1028625,
+      "path": "data/train/pe1/oproofs-s00002-r00004252-n000004-0000-5a06da08911800ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5a06da08911800ae7d6a9d3595012c3d3330991ae4dafe666bddae02e4e92ab4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004256-n000004.json b/manifests/batches/oproofs/s00002-r00004256-n000004.json
index ac300141537f6fd7687be9c2c03d3ea3cd86706e..b05300ec85cb3b72556983d55ba1b2e662842cf0 100644
--- a/manifests/batches/oproofs/s00002-r00004256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004256-n000004",
   "batch_fingerprint": "bbe86294f17a9ce6993d113f92f5afb0f75cf2cd9186193fc90bdf14709374d0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004256-n000004-0000-b2242d28a9829900.parquet",
-      "sha256": "b2242d28a98299009db038f83aa2fc4cd7ff53db82d05041c2a7142b6ce933ef",
-      "bytes": 875412,
-      "rows": 24,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004257.lean\",\"54b1880b0ca3838eed327589c8f35807cb039b16aa7d277dac3efad56ad4a5c5\",0,\"lean_workbook_plus_25876\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004258.lean\",\"2de454bf2e05926f3fd45379110e3a62c7e74b5909aec970efd113595f9905a4\",0,\"lean_workbook_plus_25496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004259.lean\",\"a1fcfb5267911dbdf1c4801b761e0075aca3abb6f7c9a25720061c38be5d16c4\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 875412,
+      "path": "data/train/p9f/oproofs-s00002-r00004256-n000004-0000-b2242d28a9829900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b2242d28a98299009db038f83aa2fc4cd7ff53db82d05041c2a7142b6ce933ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004260-n000004.json b/manifests/batches/oproofs/s00002-r00004260-n000004.json
index cb21499ec4e6f0fb1de235c0aad44da0607d14e5..0f92166304f6693fbc30b19dbe638909c57ac7de 100644
--- a/manifests/batches/oproofs/s00002-r00004260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004260-n000004",
   "batch_fingerprint": "802e6b732393e5457a3b552c54ee42d3c61567b0f1f85d9b0fcbdd23df581bb8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004260-n000004-0000-fe1177f7daa344a5.parquet",
-      "sha256": "fe1177f7daa344a5d6fc130adecb9e42d4fac58fa740e07500aee4770fbe6640",
-      "bytes": 641972,
-      "rows": 16,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004260-n000004-0000-a7c1ca377865a0df.parquet",
-      "sha256": "a7c1ca377865a0df30ce63a53624826148d6f075638c2189e333dd866e240036",
-      "bytes": 269307,
-      "rows": 3,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004261.lean\",\"a42428d4084c926a4eedd2f7ef109d8f5f668769ad6cc748d33f4a66418c365c\",0,\"exists_real_root\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004262.lean\",\"d5ab43a07a61ae736e3f6cc108c7bd1431a3b90566adf41a336a3c06df7610d7\",0,\"f_constant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004263.lean\",\"39fec19e964669ff830d9299391012c0db2279a76df898b7ba96b417b75da220\",0,\"lean_workbook_plus_23699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 641972,
+      "path": "data/train/pa8/oproofs-s00002-r00004260-n000004-0000-fe1177f7daa344a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "fe1177f7daa344a5d6fc130adecb9e42d4fac58fa740e07500aee4770fbe6640"
+    },
+    {
+      "bytes": 269307,
+      "path": "data/dev/pa8/oproofs-s00002-r00004260-n000004-0000-a7c1ca377865a0df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a7c1ca377865a0df30ce63a53624826148d6f075638c2189e333dd866e240036"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004264-n000004.json b/manifests/batches/oproofs/s00002-r00004264-n000004.json
index 18249a45c9b403b0d396dfada2dba1556618d6fa..92009206451ee57e4f82185102ef111a2fad05aa 100644
--- a/manifests/batches/oproofs/s00002-r00004264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004264-n000004",
   "batch_fingerprint": "17e63d3e9b344edf59aa68e77513da647454ee66324bb95c39a657287727ed62",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004264-n000004-0000-00b527c342b283b3.parquet",
-      "sha256": "00b527c342b283b3595f07e73ba8ad95c611aa30ca1ddc6b22a81eb888ad14e0",
-      "bytes": 756798,
-      "rows": 12,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004264-n000004-0000-f5e18b892eceb09c.parquet",
-      "sha256": "f5e18b892eceb09cbf5e2b0ee98f7fa3ae2a971378dfcc0ccce5491abc9a54d6",
-      "bytes": 343734,
-      "rows": 4,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004265.lean\",\"d2b0eab09068bdec59eebd5e924b99a92d418b9cd9be41ab7342c8b99adc319d\",0,\"lean_workbook_plus_25509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004266.lean\",\"a23d3b78e9ac1ffd4e5c82ebe5ab6cd220c425b947a2de2a11c0c440a688fbe8\",0,\"lean_workbook_plus_25924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004267.lean\",\"b8e55e47c2211494291625d228935ec499083fc5ffa5a517ccd9e4ac226ad23f\",0,\"lean_workbook_plus_25220\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 756798,
+      "path": "data/train/p12/oproofs-s00002-r00004264-n000004-0000-00b527c342b283b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "00b527c342b283b3595f07e73ba8ad95c611aa30ca1ddc6b22a81eb888ad14e0"
+    },
+    {
+      "bytes": 343734,
+      "path": "data/dev/p12/oproofs-s00002-r00004264-n000004-0000-f5e18b892eceb09c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f5e18b892eceb09cbf5e2b0ee98f7fa3ae2a971378dfcc0ccce5491abc9a54d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004268-n000004.json b/manifests/batches/oproofs/s00002-r00004268-n000004.json
index 015ddf2fee6f00a28f9e60ce8bb502fc158a39f2..81e04e3bd13adf805b30116c8631b75dab4535d6 100644
--- a/manifests/batches/oproofs/s00002-r00004268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004268-n000004",
   "batch_fingerprint": "be28b7a7ec7be6639536dc120043fa5dd60d1f2739b846d7fa21b3dc4363ba76",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004268-n000004-0000-594b6d0605dc35bc.parquet",
-      "sha256": "594b6d0605dc35bc9b8f5eb497a0e93fe0729082bf51befb457bccb30c0aba36",
-      "bytes": 278372,
-      "rows": 12,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004268-n000004-0000-bb1ed3204872e5c4.parquet",
-      "sha256": "bb1ed3204872e5c4e13f5e46ea268f6c8e5befc1b8f80dbabb42cfa0c658f852",
-      "bytes": 164423,
-      "rows": 3,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4269",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004269.lean\",\"1e7a236147e0f372a4eb03e7ffa545d9a51fc71384bd48bbaeab43088aa8d608\",0,\"lean_workbook_plus_24444\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004270.lean\",\"2beff066f07cdd3dc9f9e26f84a441295dc67ac2b824da9faf971784074327d4\",0,\"lean_workbook_plus_2615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004271.lean\",\"89e89a1e35eaa9e89aa71d83715fb299a48098277450cec74df339c392486468\",0,\"lean_workbook_plus_25465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278372,
+      "path": "data/train/pbb/oproofs-s00002-r00004268-n000004-0000-594b6d0605dc35bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "594b6d0605dc35bc9b8f5eb497a0e93fe0729082bf51befb457bccb30c0aba36"
+    },
+    {
+      "bytes": 164423,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00004268-n000004-0000-bb1ed3204872e5c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bb1ed3204872e5c4e13f5e46ea268f6c8e5befc1b8f80dbabb42cfa0c658f852"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004272-n000004.json b/manifests/batches/oproofs/s00002-r00004272-n000004.json
index c292d03c75e86835a658c28d9e2767243ce443a1..064f95f74b11ffa64a954fb72427c02a3b1e7505 100644
--- a/manifests/batches/oproofs/s00002-r00004272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004272-n000004",
   "batch_fingerprint": "88855317da1234695b7c1e3e83b46981002e34fcf934cb8ca49cd2189d5afcd5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004272-n000004-0000-07eb726bf3418576.parquet",
-      "sha256": "07eb726bf3418576b7fa81940061e3a70f1bca9d566f503c82a90aabf1d5b3df",
-      "bytes": 850285,
-      "rows": 25,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004273.lean\",\"7b053324b0e84f990c683dbc6c5b0d66a4acc8108296af85e4b155b853c23d74\",0,\"lean_workbook_plus_25941\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004274.lean\",\"4f57ed199036c284fa13c30b2c5da231d13a8405db68d9e5ee43ecfc3b9a35ca\",0,\"problem1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004275.lean\",\"0852ffa730dc7cd810ee29d10691cd0420989cafd6c52e934b70d0004e230354\",0,\"lean_workbook_plus_26019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 850285,
+      "path": "data/train/p08/oproofs-s00002-r00004272-n000004-0000-07eb726bf3418576.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "07eb726bf3418576b7fa81940061e3a70f1bca9d566f503c82a90aabf1d5b3df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004276-n000004.json b/manifests/batches/oproofs/s00002-r00004276-n000004.json
index 68e2bf5972450068036119ba88eda871c946f921..c04c6c14719c351202725608e1c3311fc70f6354 100644
--- a/manifests/batches/oproofs/s00002-r00004276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004276-n000004",
   "batch_fingerprint": "93e914970941d3bb048d501cc917c485cdb6cf98da6e2964e0b6b0ece388fee8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004276-n000004-0000-1cac2f7fe7bd71c9.parquet",
-      "sha256": "1cac2f7fe7bd71c9baeb9d0f096bf4a98e1419bd11d073a3db5725e567ad0d7d",
-      "bytes": 744121,
-      "rows": 15,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004276-n000004-0000-95ab6fad845a8dd8.parquet",
-      "sha256": "95ab6fad845a8dd878735b6dafbe938d2de8813b3843214c23692c49babe0876",
-      "bytes": 371925,
-      "rows": 6,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004277.lean\",\"537a0b887d341b625ac866c81de5cfc252491303c06db573590f28b94be320e9\",0,\"lean_workbook_plus_22839\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004278.lean\",\"1413a99d94a1b710f87ac2dc6e18f93383047a8633f4796b737619f8018c91ca\",0,\"lean_workbook_plus_26231\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004279.lean\",\"36d33522268eb520680e59c6e6c531cc547bf56679e717128f92481245995273\",0,\"lean_workbook_plus_23218\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 744121,
+      "path": "data/train/pac/oproofs-s00002-r00004276-n000004-0000-1cac2f7fe7bd71c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1cac2f7fe7bd71c9baeb9d0f096bf4a98e1419bd11d073a3db5725e567ad0d7d"
+    },
+    {
+      "bytes": 371925,
+      "path": "data/internal_test/pac/oproofs-s00002-r00004276-n000004-0000-95ab6fad845a8dd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "95ab6fad845a8dd878735b6dafbe938d2de8813b3843214c23692c49babe0876"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004280-n000004.json b/manifests/batches/oproofs/s00002-r00004280-n000004.json
index a928f3b4ebcb45753c581d553eecd9b195c051e9..c0370b9ae4b67cc7b7945480fdf76783eba9e914 100644
--- a/manifests/batches/oproofs/s00002-r00004280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004280-n000004",
   "batch_fingerprint": "f90369f0944363eadbcf73b106c65bd93392e9097b6707e68100065bcbe70b1e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004280-n000004-0000-d162f38579a39af7.parquet",
-      "sha256": "d162f38579a39af7eae8e7c2e6220076ed71ef1e2e32272a48acde2c153e3233",
-      "bytes": 479146,
-      "rows": 20,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004281.lean\",\"16240a184d2fd42dfe994ab739c90fbfe04eabf3da90132f154a5bc622e0bdcd\",0,\"lean_workbook_plus_25328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004282.lean\",\"32d2d048a5ffa93ce33440995d12d17383612dcba15cc68338c8a15ecd77f5b7\",0,\"lean_workbook_plus_24307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004283.lean\",\"ee77f032c56e51ebb1d4e8c633b83d3da26918c26c22272ef40a8c97fccbb717\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 479146,
+      "path": "data/train/p32/oproofs-s00002-r00004280-n000004-0000-d162f38579a39af7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d162f38579a39af7eae8e7c2e6220076ed71ef1e2e32272a48acde2c153e3233"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004284-n000004.json b/manifests/batches/oproofs/s00002-r00004284-n000004.json
index 3899d5925191afd180345532dc16a174369515bb..908e48f55a38840a9a406e4c028a1fd9ee007e76 100644
--- a/manifests/batches/oproofs/s00002-r00004284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004284-n000004",
   "batch_fingerprint": "011169fb2f489d183da324e86eef1e0848ac66d4cbd1ad9a7946825658700065",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004284-n000004-0000-3ca89cd816104489.parquet",
-      "sha256": "3ca89cd8161044895d4c73ff7b06eaf6d3bb6106c00a125b4a7a3b16026e669e",
-      "bytes": 773351,
-      "rows": 15,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004285.lean\",\"efa3d94495db247ae857a0b7354d618494886ce355511272c439a7d01a3b2033\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004286.lean\",\"597986dca0381b7fb5dbc16498f44498df6751db377f25151c339bec33730d95\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004287.lean\",\"e1dd0c039e6de94f1caab4a358b90d6ddffe21a843066cb67932ce291187ae73\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 773351,
+      "path": "data/train/pdc/oproofs-s00002-r00004284-n000004-0000-3ca89cd816104489.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3ca89cd8161044895d4c73ff7b06eaf6d3bb6106c00a125b4a7a3b16026e669e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004288-n000004.json b/manifests/batches/oproofs/s00002-r00004288-n000004.json
index 7956dde191b9ca29850a76f2ba4d57028f7fd976..292aa2c47603aca717aace3fefa61b1698e420b8 100644
--- a/manifests/batches/oproofs/s00002-r00004288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004288-n000004",
   "batch_fingerprint": "0c88ef339a25a30d34e0ca21eda54fa6b492a370246908a12eb2de32e6a487a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004288-n000004-0000-b82cdb232db249f6.parquet",
-      "sha256": "b82cdb232db249f62a35bcdccc31d84508319ec5110232ed9b7ff074b9473e1d",
-      "bytes": 298043,
-      "rows": 9,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004288-n000004-0000-961b7f1f2358a6d3.parquet",
-      "sha256": "961b7f1f2358a6d3b2e4fca71aa1aab21c8308c298e085215f3b889494b1b602",
-      "bytes": 76684,
-      "rows": 3,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004289.lean\",\"d5491ab7844b48763017b80d2d70ca2b7be087eaf0a41fb4a3b3c926f547f2bb\",0,\"lean_workbook_plus_23306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004290.lean\",\"b563ca9ce0c26b16d2958017fbe06bca9647fa96bc05314f19958df7ebd74767\",0,\"lean_workbook_plus_23403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004291.lean\",\"be03bff71d0511c4dfa7dc6510e6664fa41e151547a3231e063c7b8f5301a3f2\",0,\"lean_workbook_plus_22786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298043,
+      "path": "data/train/p5d/oproofs-s00002-r00004288-n000004-0000-b82cdb232db249f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b82cdb232db249f62a35bcdccc31d84508319ec5110232ed9b7ff074b9473e1d"
+    },
+    {
+      "bytes": 76684,
+      "path": "data/dev/p5d/oproofs-s00002-r00004288-n000004-0000-961b7f1f2358a6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "961b7f1f2358a6d3b2e4fca71aa1aab21c8308c298e085215f3b889494b1b602"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004292-n000004.json b/manifests/batches/oproofs/s00002-r00004292-n000004.json
index 90c50f1e83661e55210909570b039b45be9adba0..a82452fd1476933c7ae173335feeb9d14d5d5cfe 100644
--- a/manifests/batches/oproofs/s00002-r00004292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004292-n000004",
   "batch_fingerprint": "e2bc13dcbee547420d7804764ac8de04d41e272546339a782b937c719bf734d5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4292",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4293",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4294",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4295"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004292.lean\",\"998663237ceaa1c9c84220d64a7b02902a8e3416099bc8faf53669051a2d9e77\",0,\"lean_workbook_plus_25298\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004293.lean\",\"6b5c5756889285b61c01a91e88f54ef62be544d20ed075bddc68df415a5e6022\",0,\"lean_workbook_plus_23678\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004294.lean\",\"023cd7468875e98147f6f5c85ccae323e57ca6e85089fe60698c1f9150977beb\",0,\"abc_zero\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004295.lean\",\"219bfbb3e81c99ced2c4b652e91962d4cc60605cad33cc2568cf8f3f223b76b0\",0,\"min_max_P\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004292-n000004-0000-fc03bc435a143785.parquet",
-      "sha256": "fc03bc435a1437854562255460a0b6d6c1eb3eadb9faa7605dcf84728cf0f59c",
       "bytes": 131187,
+      "path": "data/train/p09/oproofs-s00002-r00004292-n000004-0000-fc03bc435a143785.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "fc03bc435a1437854562255460a0b6d6c1eb3eadb9faa7605dcf84728cf0f59c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004292-n000004-0000-11cc93bab5ddf005.parquet",
-      "sha256": "11cc93bab5ddf00557d810d4ed8dfb38d98edbd59f91e72b8fd1d9bc1d373681",
       "bytes": 415937,
+      "path": "data/dev/p09/oproofs-s00002-r00004292-n000004-0000-11cc93bab5ddf005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "11cc93bab5ddf00557d810d4ed8dfb38d98edbd59f91e72b8fd1d9bc1d373681"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004292-n000004-0000-f3628d9234baa832.parquet",
-      "sha256": "f3628d9234baa832b3ab4a2cdff470b975224750dbc20a9d52dbeb417188fad2",
       "bytes": 847400,
+      "path": "data/internal_test/p09/oproofs-s00002-r00004292-n000004-0000-f3628d9234baa832.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "f3628d9234baa832b3ab4a2cdff470b975224750dbc20a9d52dbeb417188fad2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4292",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4293",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4294",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4295"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004292.lean\",\"998663237ceaa1c9c84220d64a7b02902a8e3416099bc8faf53669051a2d9e77\",0,\"lean_workbook_plus_25298\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004293.lean\",\"6b5c5756889285b61c01a91e88f54ef62be544d20ed075bddc68df415a5e6022\",0,\"lean_workbook_plus_23678\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004294.lean\",\"023cd7468875e98147f6f5c85ccae323e57ca6e85089fe60698c1f9150977beb\",0,\"abc_zero\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004295.lean\",\"219bfbb3e81c99ced2c4b652e91962d4cc60605cad33cc2568cf8f3f223b76b0\",0,\"min_max_P\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004296-n000004.json b/manifests/batches/oproofs/s00002-r00004296-n000004.json
index 39b242dec9a0f8f1ae8012e860e3f371c996f264..725caa04e8083f2e1d51a05bcc15ce0514c7debf 100644
--- a/manifests/batches/oproofs/s00002-r00004296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004296-n000004",
   "batch_fingerprint": "9bc532027cf1f8f04bfc1792a831f5750a6db9f8d7c8089b5efe64cd296144cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004296-n000004-0000-7a9b24c8b6255ddb.parquet",
-      "sha256": "7a9b24c8b6255ddbcd880bf3d78e96b315adab7b40ea3a9c072dd97c1f822381",
-      "bytes": 1004531,
-      "rows": 15,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004296-n000004-0000-2e7a6fd2463eb989.parquet",
-      "sha256": "2e7a6fd2463eb9899974dfa459041c550d16abb0707fc6c99a0994b36a23af9c",
-      "bytes": 70708,
-      "rows": 3,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4297",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004297.lean\",\"5ffac5e02cc42fed1a283af5f5d41fd7eb8e96c80100a519eabd83764e2347e2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004298.lean\",\"1325e3d4a3f4b182e003506f50d9918b4a751f4ecbeebdc31645b05f856159bf\",0,\"lean_workbook_plus_24848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004299.lean\",\"c6cf94fc68e705964cee78740033ab0247ec7c32d4f7ff89c3e2cffce7954ab9\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1004531,
+      "path": "data/train/p4a/oproofs-s00002-r00004296-n000004-0000-7a9b24c8b6255ddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7a9b24c8b6255ddbcd880bf3d78e96b315adab7b40ea3a9c072dd97c1f822381"
+    },
+    {
+      "bytes": 70708,
+      "path": "data/internal_test/p4a/oproofs-s00002-r00004296-n000004-0000-2e7a6fd2463eb989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2e7a6fd2463eb9899974dfa459041c550d16abb0707fc6c99a0994b36a23af9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004300-n000004.json b/manifests/batches/oproofs/s00002-r00004300-n000004.json
index 53c4b31157a9ddf0774496fce5131f4e4c0182f9..06391cc671284c568b3c0296cffa4edf9eaf1940 100644
--- a/manifests/batches/oproofs/s00002-r00004300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004300-n000004",
   "batch_fingerprint": "86b76452507e50053f0be5c16fc6085cc56d909830ec51bebc403ec1e91abf10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004300-n000004-0000-d0b876d488448579.parquet",
-      "sha256": "d0b876d488448579ccd435e3b0baa7762723bf967b1b7cb3f734fd1a7bba8450",
-      "bytes": 774108,
-      "rows": 16,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00004300-n000004-0001-8436e56ad9458d13.parquet",
-      "sha256": "8436e56ad9458d13b737173fe5d4e161eecb438d06a282d38f622342b2fd091c",
-      "bytes": 518815,
-      "rows": 4,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4301",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004301.lean\",\"7b202c6d4d42f32852f3a236eea1993da5380c752dc9599adb52ee0a3909c7a4\",0,\"min_max_sec_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004302.lean\",\"a90d7b2b54256e1d6d1bbdd5b6146675c47597b41f4f9c8a32a66f5f94cfd4fe\",0,\"lean_workbook_plus_23447\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004303.lean\",\"5e5cf36bbcd05178c0bbe902e6cd500e66d00bdcce1d6fe9d501bba9780bc83d\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 774108,
+      "path": "data/train/p83/oproofs-s00002-r00004300-n000004-0000-d0b876d488448579.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d0b876d488448579ccd435e3b0baa7762723bf967b1b7cb3f734fd1a7bba8450"
+    },
+    {
+      "bytes": 518815,
+      "path": "data/train/p83/oproofs-s00002-r00004300-n000004-0001-8436e56ad9458d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8436e56ad9458d13b737173fe5d4e161eecb438d06a282d38f622342b2fd091c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004304-n000004.json b/manifests/batches/oproofs/s00002-r00004304-n000004.json
index 3758f7e0413b63d8c4f2dbe655b092e485413166..e7dc559ee743cec83732af8baa714c492bf6363c 100644
--- a/manifests/batches/oproofs/s00002-r00004304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004304-n000004",
   "batch_fingerprint": "de7a2f3c27b4042dba0ac75fbe559bd96b5719dc06d131bc2b14d00db19e095f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4304",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4305",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4306",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4307"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004304.lean\",\"e5045d0bc289ae04891c4232cdabc907f03837f51f70fcba2992aaaad267516d\",0,\"part_a\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004305.lean\",\"b74f3a37053f708b4f6c118216eedf3ca969ca106ecc84a3a8d5a142474c478e\",0,\"lean_workbook_plus_24075\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004306.lean\",\"1a24ea1aa15e45d79c1aaff3bdf474e542c80c73a9f0f251f1be70bccec6e869\",0,\"lean_workbook_plus_23445\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004307.lean\",\"a2c8b06e28f309c437fc1522ec9b3b1f303d580e22495ef7d10a7c03f928db31\",0,\"lean_workbook_plus_26198\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004304-n000004-0000-02ca2ab59721919e.parquet",
-      "sha256": "02ca2ab59721919e64fc16bd9cea01bd7764e0d374e890f733e77630ab9f18a4",
       "bytes": 223256,
+      "path": "data/train/pfb/oproofs-s00002-r00004304-n000004-0000-02ca2ab59721919e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "02ca2ab59721919e64fc16bd9cea01bd7764e0d374e890f733e77630ab9f18a4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004304-n000004-0000-83b105064135d4cf.parquet",
-      "sha256": "83b105064135d4cfb5895cbeffcf583ccba6538f10d4d027fccbb98354180764",
       "bytes": 907498,
+      "path": "data/internal_test/pfb/oproofs-s00002-r00004304-n000004-0000-83b105064135d4cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "83b105064135d4cfb5895cbeffcf583ccba6538f10d4d027fccbb98354180764"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004304-n000004-0001-3356152ca7737eba.parquet",
-      "sha256": "3356152ca7737ebaf8bfd8666865c8781a168402305ff80245c20d0c3a6dd3c7",
       "bytes": 578787,
+      "path": "data/internal_test/pfb/oproofs-s00002-r00004304-n000004-0001-3356152ca7737eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
+      "sha256": "3356152ca7737ebaf8bfd8666865c8781a168402305ff80245c20d0c3a6dd3c7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4304",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4305",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4306",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4307"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004304.lean\",\"e5045d0bc289ae04891c4232cdabc907f03837f51f70fcba2992aaaad267516d\",0,\"part_a\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004305.lean\",\"b74f3a37053f708b4f6c118216eedf3ca969ca106ecc84a3a8d5a142474c478e\",0,\"lean_workbook_plus_24075\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004306.lean\",\"1a24ea1aa15e45d79c1aaff3bdf474e542c80c73a9f0f251f1be70bccec6e869\",0,\"lean_workbook_plus_23445\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004307.lean\",\"a2c8b06e28f309c437fc1522ec9b3b1f303d580e22495ef7d10a7c03f928db31\",0,\"lean_workbook_plus_26198\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004308-n000004.json b/manifests/batches/oproofs/s00002-r00004308-n000004.json
index 48a1854657a50a63d326cada84d39adeafc07129..22ca100eea0f7b87cc2e7e63b994255b01848bbe 100644
--- a/manifests/batches/oproofs/s00002-r00004308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004308-n000004",
   "batch_fingerprint": "a7ba2ed93f53646b706a6de2a34e2f18b2b6808161f2cd0c556cd099cbd28e28",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004308-n000004-0000-da1aa9c33658cd2f.parquet",
-      "sha256": "da1aa9c33658cd2f3cc9931c46c0647226311b3307bab40d07bbc8fc91a5a486",
-      "bytes": 134168,
-      "rows": 7,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4309",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4310",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004309.lean\",\"f75e181ac3b6207eb9ee4a64743f263490a5696295dbab4702c2461cfc74c0db\",0,\"sum_of_geometric_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004310.lean\",\"c64a517e82dce1166f3e3b70a17c0d5e09e2abf047232760a248324bdb244d0a\",0,\"max_cardinality_set_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004311.lean\",\"102e020ff3750b1ffb466ecc7c15befce747df51f3d722575e32f5ab83f007aa\",0,\"largest_in_sequence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134168,
+      "path": "data/train/pf4/oproofs-s00002-r00004308-n000004-0000-da1aa9c33658cd2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "da1aa9c33658cd2f3cc9931c46c0647226311b3307bab40d07bbc8fc91a5a486"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004312-n000004.json b/manifests/batches/oproofs/s00002-r00004312-n000004.json
index 67d1515c6cb34ffab5b7d5bef1f662aba492dc03..4e3682eaabdc6aaf09bbe34fedebd763be7962c4 100644
--- a/manifests/batches/oproofs/s00002-r00004312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004312-n000004",
   "batch_fingerprint": "c993a4b6cba03072a6b922020f2ccff1b6087d97b2e4189b7642fa15439b0837",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004312-n000004-0000-9fc3f048461ee73c.parquet",
-      "sha256": "9fc3f048461ee73c681defc45df995ce170302331b6d8e1649e132e223f6afa6",
-      "bytes": 286937,
-      "rows": 14,
-      "revision": "d4e0dc819addc80a4884184743ef7838fbf971df"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004313.lean\",\"9e0aef9d948d8b50d73dc111b3987e1218ce1c6de5f42ed06a289024571b07f2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004314.lean\",\"c13242c3ca4d17e1c41f8be0f4186d73b094c3bd6679d5eb7e5a49a29fdc66c4\",0,\"exists_t_in_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004315.lean\",\"4f1851ec22d9760c9a678413b9a9c46f7208ca2947e8a200145885babcc1fd40\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286937,
+      "path": "data/train/p14/oproofs-s00002-r00004312-n000004-0000-9fc3f048461ee73c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9fc3f048461ee73c681defc45df995ce170302331b6d8e1649e132e223f6afa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004316-n000004.json b/manifests/batches/oproofs/s00002-r00004316-n000004.json
index efb1bddd6eafc9f552a5752b0b2c9750e07b1158..44e030b0f52a94b5c2e3ab6fc59c31dd99947622 100644
--- a/manifests/batches/oproofs/s00002-r00004316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004316-n000004",
   "batch_fingerprint": "cec14379e60942fc0f77ac2c5d84e23941ec2b16f3c8ac5ce4e59e95f37a011f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004316-n000004-0000-e3975901f3d0ef35.parquet",
-      "sha256": "e3975901f3d0ef355e5915994d82c720bb28256e0f91e2c77bb91617820bb0a3",
-      "bytes": 1023133,
-      "rows": 20,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00004316-n000004-0001-a936f2b4a4d602b2.parquet",
-      "sha256": "a936f2b4a4d602b23c4a53527fbc0ccebae5ea88557ecd90215682985518973f",
-      "bytes": 905836,
-      "rows": 15,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004317.lean\",\"f25b305a25f55685b101e0f8579f73c95cdfb67433132d66b60ec988f0c6fb74\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004318.lean\",\"59ffe8c11c8d614be0f39b3ba29a9e303e9a2e6b60bfe2b59cb2222064edffb2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004319.lean\",\"9136bde55d319417d569af9688ab6a65cc70b1acd4dc32151e68dd38466fca71\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1023133,
+      "path": "data/train/p6c/oproofs-s00002-r00004316-n000004-0000-e3975901f3d0ef35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e3975901f3d0ef355e5915994d82c720bb28256e0f91e2c77bb91617820bb0a3"
+    },
+    {
+      "bytes": 905836,
+      "path": "data/train/p6c/oproofs-s00002-r00004316-n000004-0001-a936f2b4a4d602b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a936f2b4a4d602b23c4a53527fbc0ccebae5ea88557ecd90215682985518973f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004320-n000004.json b/manifests/batches/oproofs/s00002-r00004320-n000004.json
index a8ab086a7bdb0f7430c0e535bee73b099e640432..2feefbf1f4adde00898a96cf5cafe591c93a57cf 100644
--- a/manifests/batches/oproofs/s00002-r00004320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004320-n000004",
   "batch_fingerprint": "33d32ba76b36b8e4dc4cb6f5b02061b8630a057f9a7b5cb248e2d766d90cfaea",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004320-n000004-0000-2c26057e6d8a7c0c.parquet",
-      "sha256": "2c26057e6d8a7c0cf4447761c37bb7803837187dfb6ce633a55d0da98b15c9de",
-      "bytes": 1343707,
-      "rows": 19,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004321.lean\",\"b363bd410bfd728bc971a31f728a130ece1935b20cbd3d1c2a9e7eee89b6f38b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004322.lean\",\"f3c3bfbec21d44a971bcdff04d0698ab77c863042964b1bd4358e17409a5aa36\",0,\"units_digit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004323.lean\",\"82540a853322c1bcd241e9ff76f2a08a3d919b423533a425b2f2114c54ba98f0\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1343707,
+      "path": "data/train/pd1/oproofs-s00002-r00004320-n000004-0000-2c26057e6d8a7c0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2c26057e6d8a7c0cf4447761c37bb7803837187dfb6ce633a55d0da98b15c9de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004324-n000004.json b/manifests/batches/oproofs/s00002-r00004324-n000004.json
index 84e26956e7caa3fb29c2afb9cdfa541dd1ae977f..14567a18b134d40a9a0ee4424ed3472debbcfa0f 100644
--- a/manifests/batches/oproofs/s00002-r00004324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004324-n000004",
   "batch_fingerprint": "062ecdd06d37e37354db522bdadd35fdaea1adccf8fc149f87e543746fe0a48a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004324-n000004-0000-c54fcc4083f02c0f.parquet",
-      "sha256": "c54fcc4083f02c0fc7cc80a6af4e0be0b6d343dd4d210566690344cb7aeea4bb",
-      "bytes": 562397,
-      "rows": 17,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004325.lean\",\"1baf1d9c61474d9468c0860698698f8c2d2d4c5965028d9b0cfd5b9509ac3336\",0,\"exists_infinite_solutions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004326.lean\",\"327762b404a372b22365d2b38de6ca609638e58ce56a351a109bdcde81cb74fa\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004327.lean\",\"c84bb7620efe9053aa3d075ba1aaa0bf71b80fd15c2f9726b68173c05cd393b9\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 562397,
+      "path": "data/train/pe1/oproofs-s00002-r00004324-n000004-0000-c54fcc4083f02c0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c54fcc4083f02c0fc7cc80a6af4e0be0b6d343dd4d210566690344cb7aeea4bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004328-n000004.json b/manifests/batches/oproofs/s00002-r00004328-n000004.json
index cab483bf0baae78a5f3b27f8c55c912cff6d68ae..de0a8a73971f26fbb858b45c98e5fd5a6a3d095b 100644
--- a/manifests/batches/oproofs/s00002-r00004328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004328-n000004",
   "batch_fingerprint": "03272af8fc08e252a9e0eead69f8c02b9585fe006a4b7675a1f6661c4e399b5b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004328-n000004-0000-2bad6d3b75a9be7e.parquet",
-      "sha256": "2bad6d3b75a9be7e90903ca216cc4edb231663f1e6ffc8281b10a47c522739b9",
-      "bytes": 626570,
-      "rows": 17,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004329.lean\",\"4883e35373e136a75496078cc59fbce1a3eecb4ccf740c619b172d9b92fb2d42\",0,\"sum_cubes_eq_square_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004330.lean\",\"ddc38b96ca2b5342dadd67c551a5f55ca7f6188937c14d0d5bed25de5ae07f44\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004331.lean\",\"3c3f5fd57f406c909db7dd1027b2476076ead56c32e427d18dc23ce1ea03e587\",0,\"gcd_sum_variants\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 626570,
+      "path": "data/train/p71/oproofs-s00002-r00004328-n000004-0000-2bad6d3b75a9be7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2bad6d3b75a9be7e90903ca216cc4edb231663f1e6ffc8281b10a47c522739b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004332-n000004.json b/manifests/batches/oproofs/s00002-r00004332-n000004.json
index 24537cdfb0bade87e54aa74c5f9961367fb1696a..c00412b19019021f02c4876e574ba0e1cc7867de 100644
--- a/manifests/batches/oproofs/s00002-r00004332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004332-n000004",
   "batch_fingerprint": "c2c434d2cbea8ff6accf8b8d8d0e42baf91eccecde3226a5d2a515c3f4ec71b0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004332-n000004-0000-b5c4541fb9d4462b.parquet",
-      "sha256": "b5c4541fb9d4462b59fce9152aee392d98b343fa853585353bfb4209834dccff",
-      "bytes": 686317,
-      "rows": 20,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004332-n000004-0000-3fadd3fb183d12a0.parquet",
-      "sha256": "3fadd3fb183d12a0ca618ee8d0a426fb6197467f4ce6926ce9295ccca6b010c9",
-      "bytes": 63658,
-      "rows": 9,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004333.lean\",\"05c7296c686d8f8c2d5fd562c5b35a03bf3485401f8bb162bd9ffb476a207ba3\",0,\"problem1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004334.lean\",\"98e0f1b12655dbb07dfcb8162f9a3e181d33910559b7d1bb25ac22e201b26c26\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004335.lean\",\"0bda3de3b3a13243a8ea2a14e5e06c3a6c809a0f96a26b07b3468d3fdffc9402\",0,\"disjoint_neighborhoods\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686317,
+      "path": "data/train/pf0/oproofs-s00002-r00004332-n000004-0000-b5c4541fb9d4462b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "b5c4541fb9d4462b59fce9152aee392d98b343fa853585353bfb4209834dccff"
+    },
+    {
+      "bytes": 63658,
+      "path": "data/dev/pf0/oproofs-s00002-r00004332-n000004-0000-3fadd3fb183d12a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3fadd3fb183d12a0ca618ee8d0a426fb6197467f4ce6926ce9295ccca6b010c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004336-n000004.json b/manifests/batches/oproofs/s00002-r00004336-n000004.json
index fe158cf3b2422943a9450c12f9caf6fcd63458b5..30541e0e19ead9288ae47ee17ce39a2b86a59301 100644
--- a/manifests/batches/oproofs/s00002-r00004336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004336-n000004",
   "batch_fingerprint": "1718bc151b5a1a805f9f774896a3b7288e8aa7a939e88ce0fe8ef3e62ccb2968",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004336-n000004-0000-849be23fe078d07f.parquet",
-      "sha256": "849be23fe078d07f5015d80372561deadc2ec48fadf16cc722e351cce2e66715",
-      "bytes": 541226,
-      "rows": 7,
-      "revision": "d49b5c8c4e5a2dcb8829d2b8a804a0e8a0574edb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4338",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004336.lean\",\"1d20b9e1609c77d2067c2e5f43497152874b3a126abf42fa6d1efc130a0eec0d\",0,\"sum_reciprocals_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004338.lean\",\"9a23b74e7c8582a583984e45c2fc2774375e9e1115e3ed9faed53882b452aec1\",0,\"floor_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004339.lean\",\"7c30cf6dd85c343cc5ec290ef5d77afe9627023ed5346a716b9726970513efd7\",0,\"sequence_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541226,
+      "path": "data/train/pcc/oproofs-s00002-r00004336-n000004-0000-849be23fe078d07f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "849be23fe078d07f5015d80372561deadc2ec48fadf16cc722e351cce2e66715"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004340-n000004.json b/manifests/batches/oproofs/s00002-r00004340-n000004.json
index 65f028358c2dcbbbe193e78a64e27a3b3b72177b..dbcac1b9d2a59671d587e4255476eeda757bb2e0 100644
--- a/manifests/batches/oproofs/s00002-r00004340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004340-n000004",
   "batch_fingerprint": "4c8a0b9db45483da586f34d7840f2e465d3dc4c57ba6f99e8858e0bfd343c72f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004340-n000004-0000-3d6d9b05b2794812.parquet",
-      "sha256": "3d6d9b05b279481214f7db0889d571467f0b7c462afc4a3c51f7040ac70b0236",
-      "bytes": 1066060,
-      "rows": 18,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004340-n000004-0000-fbdc1943b392ff45.parquet",
-      "sha256": "fbdc1943b392ff4513d65499d5f13868c8a6a5235ce59510557251c2daf3080f",
-      "bytes": 157278,
-      "rows": 4,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004341.lean\",\"a7d1a823d9a83e26d9d85968681da6d633df59a6ada9f6403a176a9f0a19c9b2\",0,\"matrix_pow_identity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004342.lean\",\"d402a2a497302b591380dc4febbce80326267927717fdaddf87e7257ab51a3b9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004343.lean\",\"15e0a271d329e91b8c89324af7f993bdae6fdd2775a02504bafefc976728abed\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1066060,
+      "path": "data/train/pbf/oproofs-s00002-r00004340-n000004-0000-3d6d9b05b2794812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3d6d9b05b279481214f7db0889d571467f0b7c462afc4a3c51f7040ac70b0236"
+    },
+    {
+      "bytes": 157278,
+      "path": "data/dev/pbf/oproofs-s00002-r00004340-n000004-0000-fbdc1943b392ff45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fbdc1943b392ff4513d65499d5f13868c8a6a5235ce59510557251c2daf3080f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004344-n000004.json b/manifests/batches/oproofs/s00002-r00004344-n000004.json
index a788ce6c92858e213966301807206992312fb248..6549a8a5a3d14706d45201ff0c2ab0e4fc6908d0 100644
--- a/manifests/batches/oproofs/s00002-r00004344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004344-n000004",
   "batch_fingerprint": "2adcc2e503d7a155ba87b9aac83e69726ebf29cefd92874caa97d0d6d7ca4e9c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004344-n000004-0000-7197dcebc0311ee2.parquet",
-      "sha256": "7197dcebc0311ee25f397a5db79130c4bddc26732ed1046a71450a3cbb4d09bb",
-      "bytes": 727288,
-      "rows": 18,
-      "revision": "5de840f0515997adf6ccee327b71ea79730c58ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004345.lean\",\"7a90e06e3f20465482e07a191110b09d46bcf30f418da176a7c0ec70f623e70b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004346.lean\",\"bffdd71e6ed6fb12edc1d56f8dab6562d8ea73677a9f1e0d618bc8a0aaf8a82b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004347.lean\",\"adffec3531b963a43e3f87c99fea8ccdfe39b444b36cb1be95c8bcc328d9b761\",0,\"functional_equation_q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 727288,
+      "path": "data/train/p40/oproofs-s00002-r00004344-n000004-0000-7197dcebc0311ee2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7197dcebc0311ee25f397a5db79130c4bddc26732ed1046a71450a3cbb4d09bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004348-n000004.json b/manifests/batches/oproofs/s00002-r00004348-n000004.json
index 5ef2babb3ce70fbe30dbb0ba7593d881b615e596..05297f67aa2a0cf4ff0ce79677eb919a847eddf1 100644
--- a/manifests/batches/oproofs/s00002-r00004348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004348-n000004",
   "batch_fingerprint": "10c8b010480821690b7a8e12785085d947ae5b318f26ae1a6b3d3b1f81916128",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004348-n000004-0000-96641fbce5ce4468.parquet",
-      "sha256": "96641fbce5ce44688aa2efceb4c7853033c57e6b8b86260372feea196b0f652f",
-      "bytes": 326634,
-      "rows": 19,
-      "revision": "e86619f14799100dca260f998a2aa4a27d1f0ef1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004349.lean\",\"4298ff4ef5f2632c506d772a13e92860ec9aa652bdcd0601c63510ca44962e14\",0,\"taylor_series_sin_ax\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004350.lean\",\"ce1a20f59be51a508c3f948ae10182d76b66a1016d5977ced5ecbf13be98400a\",0,\"sum_of_reciprocals_ge_half\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004351.lean\",\"9e8c5c3cf48723ac2ca78113be04d13d9c9eaaa6087f6a83c81f4f1adda88465\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326634,
+      "path": "data/train/pbd/oproofs-s00002-r00004348-n000004-0000-96641fbce5ce4468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "96641fbce5ce44688aa2efceb4c7853033c57e6b8b86260372feea196b0f652f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004352-n000004.json b/manifests/batches/oproofs/s00002-r00004352-n000004.json
index d4ddb3bebdfb9eb2bf48c368c934a41f21af4e53..85fc47714d7adb812d6552aa0e39f70a3417debc 100644
--- a/manifests/batches/oproofs/s00002-r00004352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004352-n000004",
   "batch_fingerprint": "122d8635fb155e34b34102e32541bc2ab21faa1a3c73bf82a2177cb8accc51ae",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004352-n000004-0000-651f792704f55b29.parquet",
-      "sha256": "651f792704f55b29137f87c067aa0d724fb7362a79339e893bf19dd572b4152d",
-      "bytes": 391753,
-      "rows": 9,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004352-n000004-0000-cc2f349a8208b9a3.parquet",
-      "sha256": "cc2f349a8208b9a32d50b34535b8a9165f9fa3dd34fa70a9d89eef8926c71880",
-      "bytes": 123897,
-      "rows": 2,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4353",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004353.lean\",\"d1b14d9ae928dd9c5414cb2225cda8eb6803383abd2993f2d82511d95fcd6709\",0,\"exists_n_divisible_by_all_smaller_than_sqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004354.lean\",\"c0c01439a7edc3199032d6e90a3f7a11df2f5c6df26dbbe82019247715df5dec\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004355.lean\",\"0ff19d93d957521eb3ae27c00285acdba070c495463e50f544b9c290b5abae17\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391753,
+      "path": "data/train/pd3/oproofs-s00002-r00004352-n000004-0000-651f792704f55b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "651f792704f55b29137f87c067aa0d724fb7362a79339e893bf19dd572b4152d"
+    },
+    {
+      "bytes": 123897,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00004352-n000004-0000-cc2f349a8208b9a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cc2f349a8208b9a32d50b34535b8a9165f9fa3dd34fa70a9d89eef8926c71880"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004356-n000004.json b/manifests/batches/oproofs/s00002-r00004356-n000004.json
index d295eb7fed74febd6e9760a6ddcf24ad6768e146..c973875ec72884625ffc6a0faf13b7cffaaccfde 100644
--- a/manifests/batches/oproofs/s00002-r00004356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004356-n000004",
   "batch_fingerprint": "77e6dc9009901448deadc24b90eae4345f0aec293a75a03dc75ca3cf27ceb20f",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004356-n000004-0000-d7093a233e08c8b1.parquet",
-      "sha256": "d7093a233e08c8b13da6ee32b4222aa29edd40b8ba7ba939d39e013667992187",
-      "bytes": 417904,
-      "rows": 11,
-      "revision": "dfe3859a3dde9e8e23f2631e59b34c4646b55f55"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4357",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004356.lean\",\"b30ecc3a0d56e6972f430c8a95039de64e0056f903129e4b6bcc7fd8590247c9\",0,\"find_functions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004357.lean\",\"b0360ecdd31eac10f47fb1561963ef53142bd1749a2102a04f134c35cdebda51\",0,\"max_candies\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004359.lean\",\"4af75bdf5a98cf2279ef3b907539821882e839ad9dd23955908787fb4a5e7596\",0,\"harmonic_series_sqrt_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417904,
+      "path": "data/train/pf0/oproofs-s00002-r00004356-n000004-0000-d7093a233e08c8b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d7093a233e08c8b13da6ee32b4222aa29edd40b8ba7ba939d39e013667992187"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004360-n000004.json b/manifests/batches/oproofs/s00002-r00004360-n000004.json
index a1d5fe8aee28e3f6093a7102b697012488f4d128..78660ed3a08a31d2f2659225552411e7fb81748a 100644
--- a/manifests/batches/oproofs/s00002-r00004360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004360-n000004",
   "batch_fingerprint": "58eb0ca7a3c62aa21402566e6bc5ddac620f933003d181bc3b805fe17cb9b511",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004360-n000004-0000-90dd591b814ee226.parquet",
-      "sha256": "90dd591b814ee226c1325e3f84b7da302338ccf2c26b84424b64319199cad4de",
-      "bytes": 131803,
-      "rows": 10,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004360-n000004-0000-b45710be3c145992.parquet",
-      "sha256": "b45710be3c145992b59671e7616fb08c69804644a7ab2a6437137d38e032133d",
-      "bytes": 78819,
-      "rows": 5,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004361.lean\",\"3b861577fb47c3aeeef1b25b32e649dc621bdf485a8e4a3dc9b8c3ff1d516eda\",0,\"lean_workbook_plus_14650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004362.lean\",\"0266d74729ffcd2a7b9a5ced57b03eae2afd9cf9b6963f5dba4a0ca9fa47e42c\",0,\"negation_equivalence_proposition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004363.lean\",\"b9aae96238d44f1ea9666694f506a4d519de353a0a8ccae6ce585951c85f0e8c\",0,\"lean_workbook_plus_45022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131803,
+      "path": "data/train/p38/oproofs-s00002-r00004360-n000004-0000-90dd591b814ee226.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "90dd591b814ee226c1325e3f84b7da302338ccf2c26b84424b64319199cad4de"
+    },
+    {
+      "bytes": 78819,
+      "path": "data/internal_test/p38/oproofs-s00002-r00004360-n000004-0000-b45710be3c145992.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b45710be3c145992b59671e7616fb08c69804644a7ab2a6437137d38e032133d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004364-n000004.json b/manifests/batches/oproofs/s00002-r00004364-n000004.json
index 2fef3f4ce54e76ac33d208a46cb711bb9d7f3d19..7b90aadf2bc856f84b0b16233d75ca6cdb204644 100644
--- a/manifests/batches/oproofs/s00002-r00004364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004364-n000004",
   "batch_fingerprint": "d5238e6283c97cc5a6fd17541eb710b402bf699bb8e838a1b2cd91ca87e4deb9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004364-n000004-0000-5a933a960267227b.parquet",
-      "sha256": "5a933a960267227bb8f5f4a3a1105eec77b5f6b4b1e00155ea3fcec8df49a897",
-      "bytes": 142984,
-      "rows": 12,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004365.lean\",\"33343644097360a142ad222c4936da99d6ba8f6e4c49e6ddbdba96cb12f3b770\",0,\"lean_workbook_plus_40341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004366.lean\",\"5475b09fca2e1e3b115b92f37a966713e085fc1210dc5398513a68d52afd6f59\",0,\"lean_workbook_plus_37482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004367.lean\",\"8f6236970a88e8360a74cedb84ecb34a72d8ffaa54e3ba721d0d397515bde145\",0,\"lean_workbook_plus_73489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142984,
+      "path": "data/train/p05/oproofs-s00002-r00004364-n000004-0000-5a933a960267227b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5a933a960267227bb8f5f4a3a1105eec77b5f6b4b1e00155ea3fcec8df49a897"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004368-n000004.json b/manifests/batches/oproofs/s00002-r00004368-n000004.json
index 75613cb53b6fe326cb2140803619baca6e505a74..ee9eb5850c89c539b61e061eddf96d6979b6de38 100644
--- a/manifests/batches/oproofs/s00002-r00004368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004368-n000004",
   "batch_fingerprint": "8bd73583275461d2363f075dae962b5e775ee22a5f0e4ee9876460e413f90ca4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004368-n000004-0000-d263b5b53020e90d.parquet",
-      "sha256": "d263b5b53020e90d25aca48e94abfc4cc55994d8884d0ad120136dcd1bca6b0e",
-      "bytes": 713317,
-      "rows": 22,
-      "revision": "dfe3859a3dde9e8e23f2631e59b34c4646b55f55"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004369.lean\",\"c060ebd9d6e136868a551d822caee2cf5b2b0aa7da2dfe65c1bc44273279fe34\",0,\"lean_workbook_plus_56564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004370.lean\",\"2ec9401c6d93181d654eff36cc02bbf773363d9f00bfc094a563e9f8863be4af\",0,\"lean_workbook_plus_18677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004371.lean\",\"97037a633b04b6ac436146c79937789272120551802e163a54311a27e6ac0efd\",0,\"lean_workbook_plus_12508\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 713317,
+      "path": "data/train/p26/oproofs-s00002-r00004368-n000004-0000-d263b5b53020e90d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "d263b5b53020e90d25aca48e94abfc4cc55994d8884d0ad120136dcd1bca6b0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004372-n000004.json b/manifests/batches/oproofs/s00002-r00004372-n000004.json
index 6ff566a86c88861665370c0d07f58ee63d3f27d5..f35e143f185ccc93c304a293c2e01a19aab440ed 100644
--- a/manifests/batches/oproofs/s00002-r00004372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004372-n000004",
   "batch_fingerprint": "d07ef3dbce8ff12b29c5fb62f4f0bc04faac0a26337542fcb527c515a792a5b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004372-n000004-0000-d2d18f23f5677211.parquet",
-      "sha256": "d2d18f23f567721183da98158bf38ef6b0a631924278d1090757d9f611965c50",
-      "bytes": 145760,
-      "rows": 15,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004373.lean\",\"383b5dee55b3c83998c33eaed852c3eaf1efa32a7e7f39146ebf737b3467b393\",0,\"lean_workbook_plus_11197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004374.lean\",\"33f5ac1864b24f40041de2f51129d24794ac51ed18e258fa17dfa2f98e2cf067\",0,\"lean_workbook_plus_75554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004375.lean\",\"5ed820e01be290342eaab5898b9396c9901f379ee06c16fe83d9ea70a83f7856\",0,\"lean_workbook_plus_57957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145760,
+      "path": "data/train/p5e/oproofs-s00002-r00004372-n000004-0000-d2d18f23f5677211.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d2d18f23f567721183da98158bf38ef6b0a631924278d1090757d9f611965c50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004376-n000004.json b/manifests/batches/oproofs/s00002-r00004376-n000004.json
index 7f343c06bd93f0c652b6327f3f2f6df231a3a6e0..cbde785ceeebb9e7ee592092783922935a1cb560 100644
--- a/manifests/batches/oproofs/s00002-r00004376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004376-n000004",
   "batch_fingerprint": "033c784618686a5d4e4668e2792e829d10eb9207dc419a4a7b208ccf35866184",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004376-n000004-0000-862a978db75792c1.parquet",
-      "sha256": "862a978db75792c17979cd6fb5787b06cec8a99102cedc9f6822e7db6e27d9fb",
-      "bytes": 238038,
-      "rows": 28,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4377",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004377.lean\",\"9354d610aa9fcc49f795b2f463ab13b71c3ceb7c882c38d473b6bd48b472a203\",0,\"lean_workbook_plus_76249\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004378.lean\",\"2b95357ee70dcb3414ff5a2727664db1cdfd1b417aac78c02737a2a1f2dd2970\",0,\"lean_workbook_plus_27420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004379.lean\",\"cbda9c394ae4ab4ce348d3ddaee26cbd29ab20ed9c13c8bea4b07bbe7b566610\",0,\"lean_workbook_plus_57199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238038,
+      "path": "data/train/p39/oproofs-s00002-r00004376-n000004-0000-862a978db75792c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "862a978db75792c17979cd6fb5787b06cec8a99102cedc9f6822e7db6e27d9fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004380-n000004.json b/manifests/batches/oproofs/s00002-r00004380-n000004.json
index 30575a96f5d37e45e6fdb3035e8bf3e8997aa7c5..51557b46693d1bba72ab6815c8e300fee4a233b8 100644
--- a/manifests/batches/oproofs/s00002-r00004380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004380-n000004",
   "batch_fingerprint": "09ca1b04ef0bc7985421b8ec0a68dc097bbe60f49e39bc445c1e18c9f7e7cb19",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/oproofs-s00002-r00004380-n000004-0000-98cdc8cbb315f440.parquet",
-      "sha256": "98cdc8cbb315f4402cde767675556c0a2e4bf061e774aea165daa65a3d5df209",
-      "bytes": 184262,
-      "rows": 13,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004380-n000004-0000-874bd4c4ad93bc49.parquet",
-      "sha256": "874bd4c4ad93bc4944a71f49793487a4328a061e7227c2bb7202a79dc67c43ba",
-      "bytes": 158874,
-      "rows": 11,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4381",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004381.lean\",\"77b54a2053d84a499f871c27630d5b539ea836348a35e8e236828eb8a89f0c1e\",0,\"lean_workbook_plus_20307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004382.lean\",\"4af75dfc4454f7e133f0d5548c00863e803d198a9eda908ce4cf73f654846cac\",0,\"quadratic_roots_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004383.lean\",\"8d35e33f428aba565df3c3bf689045ddf8d199e9c45883b48d6238a651670490\",0,\"lean_workbook_plus_45835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184262,
+      "path": "data/dev/pab/oproofs-s00002-r00004380-n000004-0000-98cdc8cbb315f440.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "98cdc8cbb315f4402cde767675556c0a2e4bf061e774aea165daa65a3d5df209"
+    },
+    {
+      "bytes": 158874,
+      "path": "data/internal_test/pab/oproofs-s00002-r00004380-n000004-0000-874bd4c4ad93bc49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "874bd4c4ad93bc4944a71f49793487a4328a061e7227c2bb7202a79dc67c43ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004384-n000004.json b/manifests/batches/oproofs/s00002-r00004384-n000004.json
index 483693d4fcd66920f12f5e8dec92315f587c53d9..ef4df7826fa735a70958588b8cb543e6bf994187 100644
--- a/manifests/batches/oproofs/s00002-r00004384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004384-n000004",
   "batch_fingerprint": "ff8af077da4f71e78e9f9355f633462441c4f0a4d1b1bc82700ec6733cbb6415",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004384-n000004-0000-7d625c99941cb290.parquet",
-      "sha256": "7d625c99941cb290048bf0d64617bbab4d43662e19fe63d444d16891672c5dc1",
-      "bytes": 361911,
-      "rows": 22,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004385.lean\",\"e6acf9dc16db9117b49434958ce93c2b87f03277464747be00d1a84fc26523e0\",0,\"lean_workbook_plus_24522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004386.lean\",\"fd95158482fb0ae3e001dd144c225a92dd4c4126fec2e2fc82aeb6f67949d772\",0,\"lean_workbook_plus_30135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004387.lean\",\"1a2e27cebd03bd237b47d7b9c449925a09ce6b19371c05dc8313cee5ce4b2e6b\",0,\"lean_workbook_plus_17598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361911,
+      "path": "data/train/pe5/oproofs-s00002-r00004384-n000004-0000-7d625c99941cb290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7d625c99941cb290048bf0d64617bbab4d43662e19fe63d444d16891672c5dc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004388-n000004.json b/manifests/batches/oproofs/s00002-r00004388-n000004.json
index 8862a6f59c892a1c0e3361d4345881d97a18e614..b35818b9a255e9b14db665fc55cf4e71a9ac16d3 100644
--- a/manifests/batches/oproofs/s00002-r00004388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004388-n000004",
   "batch_fingerprint": "59384e740c3409f74d43d32d1a22a3e5ff754b0651a7b60d7f128a40facab766",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004388-n000004-0000-023d1bd70c67c521.parquet",
-      "sha256": "023d1bd70c67c521f726d909cc61993d155aee6d526899a3b972ae36a8d1bd8f",
-      "bytes": 137531,
-      "rows": 12,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004388-n000004-0000-73fe8e25481e4a32.parquet",
-      "sha256": "73fe8e25481e4a32fb29a877a96400cb202bc8c4b98dfae27be0f37c1a215013",
-      "bytes": 45790,
-      "rows": 5,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004389.lean\",\"be78e5be380dd3d0e93ef011e2edfc347cae5836f19c51a49c314ae45be58995\",0,\"lean_workbook_plus_81538\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004390.lean\",\"28351eab4e42e2577e9a0ac280f7d59370174fc7793ccf857c68152318ecd372\",0,\"lean_workbook_plus_76132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004391.lean\",\"97eaa43a28cc200d1d79d12d68e1a089257a1285e348f115016c4a32db47bb09\",0,\"lean_workbook_plus_7801\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137531,
+      "path": "data/train/pf8/oproofs-s00002-r00004388-n000004-0000-023d1bd70c67c521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "023d1bd70c67c521f726d909cc61993d155aee6d526899a3b972ae36a8d1bd8f"
+    },
+    {
+      "bytes": 45790,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00004388-n000004-0000-73fe8e25481e4a32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "73fe8e25481e4a32fb29a877a96400cb202bc8c4b98dfae27be0f37c1a215013"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004392-n000004.json b/manifests/batches/oproofs/s00002-r00004392-n000004.json
index 5d33ac3e32d14dae1ea25e74a19bf1395e0733d9..abd13c408787b29ef498fab89b7382fbe246a5c0 100644
--- a/manifests/batches/oproofs/s00002-r00004392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004392-n000004",
   "batch_fingerprint": "793b7e352355bbd97a5797024a71795b5857ad230d8e585b20871dbfc48e61bb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004392-n000004-0000-9292e24b73f06944.parquet",
-      "sha256": "9292e24b73f069441667d6bd06846232ea311f8bbbdcc28e79fc2d9d99c520ac",
-      "bytes": 107489,
-      "rows": 14,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004392-n000004-0000-970d674dabb80df1.parquet",
-      "sha256": "970d674dabb80df1248242b7ed1e86611f70dd35a4c6846f73214d5c294476ae",
-      "bytes": 67063,
-      "rows": 6,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004393.lean\",\"a6a5d64ead7feabfd2a78ed9f037e3d8f9e641695844651d0ee783f4a2c2812a\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004394.lean\",\"be0d9e63ce1a8602b58aee51114de56601aed1b4360e4da94c92fd6784d32292\",0,\"lean_workbook_plus_57791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004395.lean\",\"dca2b8bc5b5536341ae5a7382ab3c780a8bf58d91107373fe6e3a332c3aaaed3\",0,\"lean_workbook_4514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107489,
+      "path": "data/train/p8f/oproofs-s00002-r00004392-n000004-0000-9292e24b73f06944.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9292e24b73f069441667d6bd06846232ea311f8bbbdcc28e79fc2d9d99c520ac"
+    },
+    {
+      "bytes": 67063,
+      "path": "data/internal_test/p8f/oproofs-s00002-r00004392-n000004-0000-970d674dabb80df1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "970d674dabb80df1248242b7ed1e86611f70dd35a4c6846f73214d5c294476ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004396-n000004.json b/manifests/batches/oproofs/s00002-r00004396-n000004.json
index 27607dece5fcc4b3ed78479da0c6cdd8d5e91e3b..7d0e2d51b12ff6f513f5d4420f9e59bd53de5593 100644
--- a/manifests/batches/oproofs/s00002-r00004396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004396-n000004",
   "batch_fingerprint": "12d7cad36753041b3558fded9abcc673e0731269f07acb22eca210cac34791f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004396-n000004-0000-c330d1694c1a38e8.parquet",
-      "sha256": "c330d1694c1a38e87bdd1abac0cb9effe3ae549f4497471744c17d620e89b382",
-      "bytes": 82518,
-      "rows": 5,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004396-n000004-0000-2751a9ba2f1dbee8.parquet",
-      "sha256": "2751a9ba2f1dbee86e6fbccfc5f65d2a6e43f94241811bc2418d335893d35e09",
-      "bytes": 59387,
-      "rows": 7,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004397.lean\",\"26c5b24c086624ebeaad520368eb1ee305f2419fb6800990fe1bc6dd3f0babde\",0,\"lean_workbook_plus_48082\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004398.lean\",\"49328021882ccbb93c713637d8cf95f9b239b3cd40f7a01b459f2441ee644459\",0,\"candy_game_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004399.lean\",\"52ce4ded16984b8d1d29d8e820ed5b408795595b99bfaff8a516d884a2e3559f\",0,\"lean_workbook_plus_27619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82518,
+      "path": "data/train/pfe/oproofs-s00002-r00004396-n000004-0000-c330d1694c1a38e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c330d1694c1a38e87bdd1abac0cb9effe3ae549f4497471744c17d620e89b382"
+    },
+    {
+      "bytes": 59387,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00004396-n000004-0000-2751a9ba2f1dbee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2751a9ba2f1dbee86e6fbccfc5f65d2a6e43f94241811bc2418d335893d35e09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004400-n000004.json b/manifests/batches/oproofs/s00002-r00004400-n000004.json
index 657d6962aa366f2a20303ec58a68ad919b59dfb9..c73a95ed32a968d479c164631a5b03d4b543091c 100644
--- a/manifests/batches/oproofs/s00002-r00004400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004400-n000004",
   "batch_fingerprint": "6f8c3dea93a1f8f42ea0a5f39a747cf6dcd7a62931db4a3faa5fdc729be86614",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004400-n000004-0000-cc5370943bb545ce.parquet",
-      "sha256": "cc5370943bb545cefd99197e5e1da188c04a9260eec5f00dddbca673cb13ab70",
-      "bytes": 158269,
-      "rows": 6,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004400-n000004-0000-2e95e01240f33095.parquet",
-      "sha256": "2e95e01240f330953c3e7496be18483e20c6316f097a7821385d4ea6f6e119b9",
-      "bytes": 338070,
-      "rows": 17,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004401.lean\",\"39f875c1f9259477109962e261df9c37390ff9aa9b60b03aaeb09bc427f186a5\",0,\"periodic_odd_function_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004402.lean\",\"2f104910114c0c7f9f32b9c9a7bc2d6121a421431c3479300b043a20381d460e\",0,\"lean_workbook_plus_3067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004403.lean\",\"71cda07e2274ebcc2d1c21645957b6086211f7a38ca7cf1808472c33670505e8\",0,\"lean_workbook_plus_42653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158269,
+      "path": "data/train/p4e/oproofs-s00002-r00004400-n000004-0000-cc5370943bb545ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cc5370943bb545cefd99197e5e1da188c04a9260eec5f00dddbca673cb13ab70"
+    },
+    {
+      "bytes": 338070,
+      "path": "data/internal_test/p4e/oproofs-s00002-r00004400-n000004-0000-2e95e01240f33095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2e95e01240f330953c3e7496be18483e20c6316f097a7821385d4ea6f6e119b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004404-n000004.json b/manifests/batches/oproofs/s00002-r00004404-n000004.json
index 4166630d6b4f4ec9c206da3b56d9c49611a016aa..46b71d5069a75d0320df72dc9e10f94a6756dbb4 100644
--- a/manifests/batches/oproofs/s00002-r00004404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004404-n000004",
   "batch_fingerprint": "d9b16cdece3dd87ec301c8a5e28ffa150b7a41d4d6c20d4c20e154d0aafaa06f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004404-n000004-0000-94df20ad3baa1cf9.parquet",
-      "sha256": "94df20ad3baa1cf912bc8e4af9a46a96a99facd7dfb08c979816600216e82435",
-      "bytes": 225677,
-      "rows": 17,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004405.lean\",\"13fcea83722b0f2e35c01bc9a5ba339f7a9b398178ebea6bc7a9bbe28c97caed\",0,\"lean_workbook_48450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004406.lean\",\"690d0abc9e148b85973633d651892045b939e6728302387d40923eab55bffaf3\",0,\"lean_workbook_plus_27868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004407.lean\",\"4f7a516e7bdea5f7b48dd522af21a1e006c570353262da6ab3d5d2896abc5e1f\",0,\"lean_workbook_plus_24128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225677,
+      "path": "data/train/p2a/oproofs-s00002-r00004404-n000004-0000-94df20ad3baa1cf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "94df20ad3baa1cf912bc8e4af9a46a96a99facd7dfb08c979816600216e82435"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004408-n000004.json b/manifests/batches/oproofs/s00002-r00004408-n000004.json
index 1f71b683d3c7356639633085f3f8fa1634dff23a..d2ec0b67782e27873d372a71e06bc3a5f978830a 100644
--- a/manifests/batches/oproofs/s00002-r00004408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004408-n000004",
   "batch_fingerprint": "0d9ee283585e9ad0d437e6f536bd8d9c1a1706ea8d5a6afb27a1155d211f5849",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004408-n000004-0000-07aed51db6019550.parquet",
-      "sha256": "07aed51db6019550189031def31baf3fcaa012bf89e6b96f726949736b9eb657",
-      "bytes": 178604,
-      "rows": 19,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004408-n000004-0000-732e1cae037dd40c.parquet",
-      "sha256": "732e1cae037dd40ca406f7a44d28460d376a4804a4dcd75dfb3dea4c5ec80a2a",
-      "bytes": 93154,
-      "rows": 5,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4409",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004409.lean\",\"af2d40fcdb9e8149aabf9eb2db2c88239d2447dff1460e58ec46e1774384436a\",0,\"lean_workbook_plus_3634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004410.lean\",\"f51d4ad4dd09054e73d131514dd504237e808a9174b194d0bcd47963cf5a0369\",0,\"lean_workbook_49124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004411.lean\",\"a1967915b457e10096e736e2781d9cfe8fe8883b424b8bb23f9ce53f08698a9f\",0,\"lean_workbook_plus_54818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178604,
+      "path": "data/train/p82/oproofs-s00002-r00004408-n000004-0000-07aed51db6019550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "07aed51db6019550189031def31baf3fcaa012bf89e6b96f726949736b9eb657"
+    },
+    {
+      "bytes": 93154,
+      "path": "data/internal_test/p82/oproofs-s00002-r00004408-n000004-0000-732e1cae037dd40c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "732e1cae037dd40ca406f7a44d28460d376a4804a4dcd75dfb3dea4c5ec80a2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004412-n000004.json b/manifests/batches/oproofs/s00002-r00004412-n000004.json
index 33c18ab4f567fe5d264fc0d7a0147eac0fd76a59..301ef1ca79d2072ff0a4a6c6e16872aae64691cc 100644
--- a/manifests/batches/oproofs/s00002-r00004412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004412-n000004",
   "batch_fingerprint": "6fb15e5f30b6a8897ddd650ba5bf08fc8eb85cb0f9e8d20f3e62533d4d6ed2fa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004412-n000004-0000-3fe876eadfd0bbd7.parquet",
-      "sha256": "3fe876eadfd0bbd716e4af4cab07a363a95b6bc21b38c77dbb55f5a309c2f8ff",
-      "bytes": 90214,
-      "rows": 11,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004413.lean\",\"02a1373f2ed8813c2c04d2b823fda33f02d68e1f9844c6ff08242326e62cd5b8\",0,\"lean_workbook_plus_59928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004414.lean\",\"5c5c3f46870a626dc64fdd29244a21302e33d083dbaf753bc1b3f0902d961314\",0,\"lean_workbook_30526\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004415.lean\",\"e0b4fdd93437eb9c0b3711aed807b8ce738c87000f5b312395488b17b6b6333a\",0,\"lean_workbook_plus_43898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90214,
+      "path": "data/train/pfb/oproofs-s00002-r00004412-n000004-0000-3fe876eadfd0bbd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3fe876eadfd0bbd716e4af4cab07a363a95b6bc21b38c77dbb55f5a309c2f8ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004416-n000004.json b/manifests/batches/oproofs/s00002-r00004416-n000004.json
index f2058f85b840e7731e1b71607ac53faaa501de05..b59513e9aa7c205af1a75d41f832d19936e16b5a 100644
--- a/manifests/batches/oproofs/s00002-r00004416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004416-n000004",
   "batch_fingerprint": "d68daec5926c4c54e4f84a6465333f768f382c66997edbeeb0dd2bba7eb0cde1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004416-n000004-0000-10ad86b5102e63ab.parquet",
-      "sha256": "10ad86b5102e63ab247e0836cb133da96e90b0ca7e136d153e2d00449e20770b",
-      "bytes": 108324,
-      "rows": 8,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004416-n000004-0000-3d8645bebfdbd9af.parquet",
-      "sha256": "3d8645bebfdbd9af0c139006d00d28ca2a836cad65b61fe2fd5792099803176c",
-      "bytes": 61204,
-      "rows": 3,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004417.lean\",\"a3558c6301f043e2dea20dbdd1a04b3445405387f7a90f0b6db188e73319c9a2\",0,\"lean_workbook_3240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004418.lean\",\"f8810e18232a5c720aa5acf1161a0af9a9dbf756773be7a2eb220bbf963a6a75\",0,\"lean_workbook_plus_73430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004419.lean\",\"b89433b08f7d412138d8c812d458771ddae113ca8d80dc0a4e4567eb93964718\",0,\"lean_workbook_plus_46185\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108324,
+      "path": "data/train/pe0/oproofs-s00002-r00004416-n000004-0000-10ad86b5102e63ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "10ad86b5102e63ab247e0836cb133da96e90b0ca7e136d153e2d00449e20770b"
+    },
+    {
+      "bytes": 61204,
+      "path": "data/internal_test/pe0/oproofs-s00002-r00004416-n000004-0000-3d8645bebfdbd9af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d8645bebfdbd9af0c139006d00d28ca2a836cad65b61fe2fd5792099803176c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004420-n000004.json b/manifests/batches/oproofs/s00002-r00004420-n000004.json
index 7cdfdf6f8b87a381071016bd2deb65953702b126..94b9782c02dce8fcb0c1d334cfcfa1b1413410a6 100644
--- a/manifests/batches/oproofs/s00002-r00004420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004420-n000004",
   "batch_fingerprint": "a17a28b9e15cd2bcd9323221544590a63b5f9f0fae0f4b75e283b401f270efad",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004420-n000004-0000-17139f29a65c4502.parquet",
-      "sha256": "17139f29a65c4502d19f3ab8696d008902304be09b4815efaf9729147d436bcb",
-      "bytes": 890496,
-      "rows": 20,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004420-n000004-0000-d0884928a8fe73a0.parquet",
-      "sha256": "d0884928a8fe73a0a9284f8c2ca70e7a1559f9639fa39710ccab963d9839349e",
-      "bytes": 235858,
-      "rows": 7,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4421",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004421.lean\",\"ec28f5dd6fbc3c349dbcdab992ed03137b54fb14af53b74faf8acea1ea6ee771\",0,\"lean_workbook_plus_45473\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004422.lean\",\"09bf1879fd4568010cfcb0630d69cdcb6ac02385f0c9681289a5979a1fcdffe1\",0,\"lean_workbook_plus_2262\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004423.lean\",\"81090004e52c88ba23f30814dc63f890ceb910b431020217905cda2086657c45\",0,\"lean_workbook_plus_38910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 890496,
+      "path": "data/train/p74/oproofs-s00002-r00004420-n000004-0000-17139f29a65c4502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "17139f29a65c4502d19f3ab8696d008902304be09b4815efaf9729147d436bcb"
+    },
+    {
+      "bytes": 235858,
+      "path": "data/dev/p74/oproofs-s00002-r00004420-n000004-0000-d0884928a8fe73a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d0884928a8fe73a0a9284f8c2ca70e7a1559f9639fa39710ccab963d9839349e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004424-n000004.json b/manifests/batches/oproofs/s00002-r00004424-n000004.json
index 794feed5c1333813116d88928c19349b43d5fe51..f5f993e10ba85bc1e0546748eb9167f3d94abf0d 100644
--- a/manifests/batches/oproofs/s00002-r00004424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004424-n000004",
   "batch_fingerprint": "67824fda7623e653ed2fc0e7e2f37864b63ddcf67f769a665a9f32c78b9c1dba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004424-n000004-0000-32c268f21c86d888.parquet",
-      "sha256": "32c268f21c86d8886f51efd371bcf7950bf7a96a76b1e03b369a86a544b3de8d",
-      "bytes": 204361,
-      "rows": 15,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004425.lean\",\"aa1a9d18ace1eada33663f040857ac54b2d904031aa22a510f6aa4e1e2a96aac\",0,\"lean_workbook_40141\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004426.lean\",\"23cfb578f9c3ca003d24f9b057ec61dc47311696e38cb6f78f3f8cce2766a1c2\",0,\"lean_workbook_plus_49377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004427.lean\",\"5c803fa69d1d579b5d3824081107c3c0cb0272ac93a150cc9ddf2cecc9f9edff\",0,\"lean_workbook_plus_46061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204361,
+      "path": "data/train/p3f/oproofs-s00002-r00004424-n000004-0000-32c268f21c86d888.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "32c268f21c86d8886f51efd371bcf7950bf7a96a76b1e03b369a86a544b3de8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004428-n000004.json b/manifests/batches/oproofs/s00002-r00004428-n000004.json
index b5512ad3eafa1f71c345e8a7ab6135a2c61d3f28..f67875b79805bd565b80992ed58f7f3f5542f6ca 100644
--- a/manifests/batches/oproofs/s00002-r00004428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004428-n000004",
   "batch_fingerprint": "2e3abf5a07337270a01ce9c7d4386694d82d0a2bd985ad4cc416d5db313132dd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004428-n000004-0000-bacaaafb5094a8bb.parquet",
-      "sha256": "bacaaafb5094a8bb60d6f06a5056c5d48d58b50724d2efe895a4e31420265f33",
-      "bytes": 235562,
-      "rows": 18,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004428-n000004-0000-dd00ca18e5788475.parquet",
-      "sha256": "dd00ca18e578847550dcea37c7a4d7702f5333aec5301a0694fb08bc52b152f3",
-      "bytes": 47078,
-      "rows": 3,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4429",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004429.lean\",\"3feaa9d4f7aed29eda47d6d2c51e111796e649ec83833dc5866d9ee8c13b63c8\",0,\"lean_workbook_plus_81939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004430.lean\",\"e479987e3934ce6e84bd3354d81df3ec32f13fc0cc14161774a7cc9ac95a4c52\",0,\"lean_workbook_5698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004431.lean\",\"dd8bad9fd1a1db6a59eb4e304d9a02b858a7288f0cb4d76ff889bcb9226636fe\",0,\"lean_workbook_plus_68200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235562,
+      "path": "data/train/p52/oproofs-s00002-r00004428-n000004-0000-bacaaafb5094a8bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "bacaaafb5094a8bb60d6f06a5056c5d48d58b50724d2efe895a4e31420265f33"
+    },
+    {
+      "bytes": 47078,
+      "path": "data/internal_test/p52/oproofs-s00002-r00004428-n000004-0000-dd00ca18e5788475.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dd00ca18e578847550dcea37c7a4d7702f5333aec5301a0694fb08bc52b152f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004432-n000004.json b/manifests/batches/oproofs/s00002-r00004432-n000004.json
index e29b613726a270b960f9dc974ba6e67e762e817a..c7db31738a92ed57de06cde046be6ba7bb3787e3 100644
--- a/manifests/batches/oproofs/s00002-r00004432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004432-n000004",
   "batch_fingerprint": "51d084525338ed5cd105890d21b93a8d56d9280079b17c8e8783975052e89b26",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4432",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4433",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4434",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4435"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004432.lean\",\"cc3e5853e46fdcbc7c671f458fb04db0e363b72dcc15b90b4e003986b631aeb9\",0,\"lean_workbook_31045\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004433.lean\",\"7e2611dc4aae043deea3f59d628c8e8ae6c9f31c898ac4652295975b1cef566d\",0,\"lean_workbook_plus_25351\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004434.lean\",\"d1e65d790623d2a472630466c430e688902acc06e36f46bd13a431a0f519c351\",0,\"lean_workbook_plus_25035\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004435.lean\",\"e59b02d026282c4f87f8f7e7f4cc5a67c4cfe55b2ae726020d4983978aae4e4a\",0,\"lean_workbook_plus_57246\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004432-n000004-0000-33ca4cf103801ce0.parquet",
-      "sha256": "33ca4cf103801ce01e5a199dc7ed3c0c9d23bf108cbdddd84fc1ac52d24ceb94",
       "bytes": 106968,
+      "path": "data/train/p7c/oproofs-s00002-r00004432-n000004-0000-33ca4cf103801ce0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
+      "sha256": "33ca4cf103801ce01e5a199dc7ed3c0c9d23bf108cbdddd84fc1ac52d24ceb94"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004432-n000004-0000-f8b2595b2cfd7ddc.parquet",
-      "sha256": "f8b2595b2cfd7ddcb50f02298e71fa5cb429cff06dd6788f64d37c952f3c418e",
       "bytes": 53957,
+      "path": "data/dev/p7c/oproofs-s00002-r00004432-n000004-0000-f8b2595b2cfd7ddc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
+      "sha256": "f8b2595b2cfd7ddcb50f02298e71fa5cb429cff06dd6788f64d37c952f3c418e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004432-n000004-0000-b6e6444597ffd419.parquet",
-      "sha256": "b6e6444597ffd419def851fe5fcd27bf282d613c719d5f6f8276859aa816fa32",
       "bytes": 67255,
+      "path": "data/internal_test/p7c/oproofs-s00002-r00004432-n000004-0000-b6e6444597ffd419.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
+      "sha256": "b6e6444597ffd419def851fe5fcd27bf282d613c719d5f6f8276859aa816fa32"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4432",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4433",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4434",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4435"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004432.lean\",\"cc3e5853e46fdcbc7c671f458fb04db0e363b72dcc15b90b4e003986b631aeb9\",0,\"lean_workbook_31045\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004433.lean\",\"7e2611dc4aae043deea3f59d628c8e8ae6c9f31c898ac4652295975b1cef566d\",0,\"lean_workbook_plus_25351\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004434.lean\",\"d1e65d790623d2a472630466c430e688902acc06e36f46bd13a431a0f519c351\",0,\"lean_workbook_plus_25035\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004435.lean\",\"e59b02d026282c4f87f8f7e7f4cc5a67c4cfe55b2ae726020d4983978aae4e4a\",0,\"lean_workbook_plus_57246\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004436-n000004.json b/manifests/batches/oproofs/s00002-r00004436-n000004.json
index afb2fe93650fc57cf21344fce2a6460197f44377..9df36fbcb3fc9ac3f3e58c5c4da5265768df6f17 100644
--- a/manifests/batches/oproofs/s00002-r00004436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004436-n000004",
   "batch_fingerprint": "d1e310a271c55cd3a0ced6a117adcd40a08b7eb71e9e2300972276979ef6977f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004436-n000004-0000-358e63ba44c51d3d.parquet",
-      "sha256": "358e63ba44c51d3d21196ea372d315c57beebfe40b67ec70f099d19f32c331f1",
-      "bytes": 583349,
-      "rows": 19,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004437.lean\",\"42b86b30988ddba51006bf6b5f5c65b2a2a3a28418141ae6ca8b13dae0ba63fe\",0,\"lean_workbook_plus_72606\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004438.lean\",\"a1749d8014f211589be6b9c19d13d957a20869e90440cb9eb7385494f0919b43\",0,\"lean_workbook_34407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004439.lean\",\"28a8eec2fd166b2eb2ca46f83f41fc5434ace5a3d45a56063028a5f8502db89c\",0,\"lean_workbook_plus_46153\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 583349,
+      "path": "data/train/p7a/oproofs-s00002-r00004436-n000004-0000-358e63ba44c51d3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "358e63ba44c51d3d21196ea372d315c57beebfe40b67ec70f099d19f32c331f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004440-n000004.json b/manifests/batches/oproofs/s00002-r00004440-n000004.json
index f2c5b1b2b3bc84a0f361df93d0b9b991175ade9d..0afd2271d56da47e4af379b364ed74146cb235c5 100644
--- a/manifests/batches/oproofs/s00002-r00004440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004440-n000004",
   "batch_fingerprint": "dcb547ca6c22c2cda34f158ba6b7240515c2dc5b77eb5f37e9a3e84028ab170d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004440-n000004-0000-160dd3bc48bf2c4f.parquet",
-      "sha256": "160dd3bc48bf2c4f6a13a1077860462d1f9279ebd7ce2726730cfdfeb4f8750c",
-      "bytes": 214027,
-      "rows": 13,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004441.lean\",\"31cdf5ec5f991b07f1ea65cac01e5fb0e5bfd3859b9d3b48c4514b8d9b79d687\",0,\"lean_workbook_40933\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004442.lean\",\"d58c486953b4059f58609df5af4aab0de26c9f198a92e4f6045952c0c24e7cd2\",0,\"lean_workbook_plus_37586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004443.lean\",\"eb4fb90a6d450fd7e518b8696a7ee9fb3442633d0bc2363c9ba567e85aecd68f\",0,\"lean_workbook_plus_8710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214027,
+      "path": "data/train/pbf/oproofs-s00002-r00004440-n000004-0000-160dd3bc48bf2c4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "160dd3bc48bf2c4f6a13a1077860462d1f9279ebd7ce2726730cfdfeb4f8750c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004444-n000004.json b/manifests/batches/oproofs/s00002-r00004444-n000004.json
index 6c6b43f8566178be04acbc45558f8d8d1751ae3e..34bbae531768e038abd6db9fdc5700b004b4298a 100644
--- a/manifests/batches/oproofs/s00002-r00004444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004444-n000004",
   "batch_fingerprint": "83f3db6981153b1121a4a7f8d8f5940603b41206cc7097ade8e4cdbf7044fae6",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004444-n000004-0000-2f645afe01dc7e42.parquet",
-      "sha256": "2f645afe01dc7e423b6949addb3099d431341ca4eb7ce83e4bfd1981fd8933be",
-      "bytes": 373290,
-      "rows": 18,
-      "revision": "dfe3859a3dde9e8e23f2631e59b34c4646b55f55"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4446",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004444.lean\",\"dd1047f456afcd885564e4e34592a51dc920b0aa0a3b6cd27734eeea8d131768\",0,\"lean_workbook_plus_38857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004446.lean\",\"4a429e3d5576a452e6335ca32beaf546d635428d5e2c1921785fc4960620140d\",0,\"lean_workbook_plus_65999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004447.lean\",\"89450a47d7c527bf3d2b2ee6c5a713df6f9d66cf1e4524adc8943c50ba55c579\",0,\"lean_workbook_plus_23318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373290,
+      "path": "data/train/peb/oproofs-s00002-r00004444-n000004-0000-2f645afe01dc7e42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2f645afe01dc7e423b6949addb3099d431341ca4eb7ce83e4bfd1981fd8933be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004448-n000004.json b/manifests/batches/oproofs/s00002-r00004448-n000004.json
index 298c1e35824878155805baaa71627c8b7dedb15f..92284c790aa5369faf1a14609178b28412d5a9fc 100644
--- a/manifests/batches/oproofs/s00002-r00004448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004448-n000004",
   "batch_fingerprint": "3e07fae765304d2fe353f733f7d573b1908b5ef2338780dce8077d8c2c3301e5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004448-n000004-0000-08199329c94ca00a.parquet",
-      "sha256": "08199329c94ca00af4307e9be7343f2f88be1c073d4bbab47818fd0f394c6834",
-      "bytes": 155410,
-      "rows": 12,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004448-n000004-0000-c3e7f10369f199dd.parquet",
-      "sha256": "c3e7f10369f199dd5d9733b820344e02205fbd54cbc4f87017c7369fa151f85d",
-      "bytes": 51146,
-      "rows": 2,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4449",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004449.lean\",\"192a59b29e27b4f4ed995a53a7aee3db1617bdb09134cc10442cab48ea0c8ed1\",0,\"lean_workbook_47401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004450.lean\",\"df69cdd8ea12951ec6224f2c0900f0d0fde4f289d19f9774fae6ce5dc29dc60a\",0,\"triangle_area_in_3d_space\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004451.lean\",\"6aaae255be6af6febb76dc37517ec10f5d80be681c59ffab46f4730a39a61626\",0,\"lean_workbook_plus_38019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155410,
+      "path": "data/train/p9c/oproofs-s00002-r00004448-n000004-0000-08199329c94ca00a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "08199329c94ca00af4307e9be7343f2f88be1c073d4bbab47818fd0f394c6834"
+    },
+    {
+      "bytes": 51146,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00004448-n000004-0000-c3e7f10369f199dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c3e7f10369f199dd5d9733b820344e02205fbd54cbc4f87017c7369fa151f85d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004452-n000004.json b/manifests/batches/oproofs/s00002-r00004452-n000004.json
index 59ea1410942c1085d0ac1db0c0d89ca08e84bd6c..87fd85bf88649028fa8ba8e94ec9ea758c66393e 100644
--- a/manifests/batches/oproofs/s00002-r00004452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004452-n000004",
   "batch_fingerprint": "4e73fefea65e9081285838b5bbe03fa377853b92700182ba9b8f18062a5d7046",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004452-n000004-0000-3a7363f097446d52.parquet",
-      "sha256": "3a7363f097446d526a889739e80a68e81836965ce6923491be3c27318fa1cde5",
-      "bytes": 113970,
-      "rows": 15,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004452-n000004-0000-98a69fd8c25a1e19.parquet",
-      "sha256": "98a69fd8c25a1e197799827c9574a6b5e513717a2d9ef66a6020f1ad333c10cf",
-      "bytes": 131762,
-      "rows": 6,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004453.lean\",\"1a6e01600a58e8dac946fdb0d80d2d07cf5c8522b4fc6453f408271d5a69aa49\",0,\"lean_workbook_plus_10383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004454.lean\",\"3c550aebd1748bf3bda29adcd701d9f0edaf81c29f3b743a10df736bf9be2dac\",0,\"lean_workbook_35274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004455.lean\",\"f5f90ca425329cc64bae151ee8717d04c7cf2e638936737dc2005dfb1be7fb9d\",0,\"lean_workbook_plus_54778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113970,
+      "path": "data/train/p47/oproofs-s00002-r00004452-n000004-0000-3a7363f097446d52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3a7363f097446d526a889739e80a68e81836965ce6923491be3c27318fa1cde5"
+    },
+    {
+      "bytes": 131762,
+      "path": "data/internal_test/p47/oproofs-s00002-r00004452-n000004-0000-98a69fd8c25a1e19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "98a69fd8c25a1e197799827c9574a6b5e513717a2d9ef66a6020f1ad333c10cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004456-n000004.json b/manifests/batches/oproofs/s00002-r00004456-n000004.json
index 2c00ecbef92ff4ff1a17ffb33562f1ddd9fcb0f4..32b0cebbf11ff896b93075a94754e9095f071808 100644
--- a/manifests/batches/oproofs/s00002-r00004456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004456-n000004",
   "batch_fingerprint": "7b378c0326bc05d730e6f19e6d58eea232148dd06028c911e1124e90c5a79e73",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004456-n000004-0000-2b1427d5bb7a04b6.parquet",
-      "sha256": "2b1427d5bb7a04b665d66c28ab433ebe8de21270430884129b7374b993c4296f",
-      "bytes": 180676,
-      "rows": 7,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004456-n000004-0000-a538a2383d39f027.parquet",
-      "sha256": "a538a2383d39f027bbeca5b630dd675dc9fcc7781b8e16a97c419f810061f541",
-      "bytes": 548197,
-      "rows": 5,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004457.lean\",\"c6bc282862f6d37bb734572baaf5d0428b700d88e6b1a4f2033946d22cd0f2c1\",0,\"lean_workbook_53135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004458.lean\",\"c9d300d7de48eb3ecc1e2eb43292f0619d4156a8e136c675ce74d7098188bbd6\",0,\"no_valid_a_exists\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004459.lean\",\"bf61c100b479c1f9cea947cde741f9e75ee11804579e165755a09f74597e0691\",0,\"lean_workbook_plus_14650\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180676,
+      "path": "data/train/pb2/oproofs-s00002-r00004456-n000004-0000-2b1427d5bb7a04b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2b1427d5bb7a04b665d66c28ab433ebe8de21270430884129b7374b993c4296f"
+    },
+    {
+      "bytes": 548197,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00004456-n000004-0000-a538a2383d39f027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a538a2383d39f027bbeca5b630dd675dc9fcc7781b8e16a97c419f810061f541"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004460-n000004.json b/manifests/batches/oproofs/s00002-r00004460-n000004.json
index bf62e0471256d23cfdf65938b2f98f2d074d28d7..2e6ad60c1857ab3e26034cd257f2c3325b5f515b 100644
--- a/manifests/batches/oproofs/s00002-r00004460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004460-n000004",
   "batch_fingerprint": "dda52e5010f4ea71f7ed97fb66581a719f89ebbccc4be8cd8814e0ce73fcff01",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004460-n000004-0000-9c0ded0ef67614da.parquet",
-      "sha256": "9c0ded0ef67614daa12a86617a27221c14b578dde23a6c6d8257fff20e8836df",
-      "bytes": 125796,
-      "rows": 12,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004460-n000004-0000-0f9b9c7b0d3ddc9f.parquet",
-      "sha256": "0f9b9c7b0d3ddc9fdc36931923b00937af228588103641a9ad2d19d358260091",
-      "bytes": 94623,
-      "rows": 3,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004461.lean\",\"857afda472d39905800cd61a06e856c621cb6b6c9614ebb4bacfbfc1504458c2\",0,\"lean_workbook_plus_78477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004462.lean\",\"cc13f1d34dea53f7dfb23a220ccbd38e28572b91e3d2a4bb473b4e430372746d\",0,\"lean_workbook_plus_40341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004463.lean\",\"834df7d0e656ca2bd60d2da52581e9bff80371cb17568429b4f81579c06f0888\",0,\"lean_workbook_plus_57787\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125796,
+      "path": "data/train/p3a/oproofs-s00002-r00004460-n000004-0000-9c0ded0ef67614da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9c0ded0ef67614daa12a86617a27221c14b578dde23a6c6d8257fff20e8836df"
+    },
+    {
+      "bytes": 94623,
+      "path": "data/internal_test/p3a/oproofs-s00002-r00004460-n000004-0000-0f9b9c7b0d3ddc9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0f9b9c7b0d3ddc9fdc36931923b00937af228588103641a9ad2d19d358260091"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004464-n000004.json b/manifests/batches/oproofs/s00002-r00004464-n000004.json
index a9764545805a9ceaf01072f673a4100729e834dc..c4844696ffc14fb3547d5f06f296623aae792835 100644
--- a/manifests/batches/oproofs/s00002-r00004464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004464-n000004",
   "batch_fingerprint": "c2fdff68d5f6540d0bbd0b536036841179a36bdece03da6088162e4207f08b0f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004464-n000004-0000-35faaa7d9dc7f8e2.parquet",
-      "sha256": "35faaa7d9dc7f8e28fe9cb46fda6e83831c844020e5d1d6f981ce57b5744c3b0",
-      "bytes": 125065,
-      "rows": 17,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004465.lean\",\"0655cbf17f2ec90141d830e42e188aa4624e0abe0b6bb0799aa9302516366b6c\",0,\"lean_workbook_plus_12508\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004466.lean\",\"09b5696764b404deac93138f9f31dec06c66986eb2adc00fcd1f968ad8b9f2b2\",0,\"lean_workbook_plus_75554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004467.lean\",\"a9acf93a462df8d5d1629da8ecd59b914c1bce5b06102e8b593fd9ae24820686\",0,\"lean_workbook_plus_40022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125065,
+      "path": "data/train/pa8/oproofs-s00002-r00004464-n000004-0000-35faaa7d9dc7f8e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "35faaa7d9dc7f8e28fe9cb46fda6e83831c844020e5d1d6f981ce57b5744c3b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004468-n000004.json b/manifests/batches/oproofs/s00002-r00004468-n000004.json
index 60a60350fab590cc057b9e552de8fc7a37324750..1d250a05773ec972e09f63171c495d1a3b1da675 100644
--- a/manifests/batches/oproofs/s00002-r00004468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004468-n000004",
   "batch_fingerprint": "82f2c604018f2b64bc9ecab8be05324b2e50d2cd5591169b50d7ed7b64d7743f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004468-n000004-0000-093e397247321da2.parquet",
-      "sha256": "093e397247321da2582b4455a6ef0ea3a7cc4c52910c5f337e9fb08a372a436a",
-      "bytes": 617036,
-      "rows": 26,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4469",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004469.lean\",\"9cd32f83fd4c849bb1134f6814924d5e894d941e4f5ea2faf7a9756050e3eb3b\",0,\"lean_workbook_plus_51943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004470.lean\",\"600e71cc1e17bfe0ee4e75204b3089778849c7e102400dbb1691fb54fd51974d\",0,\"sqrt_three_over_seven_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004471.lean\",\"8e5d1f502e0fb951ed5b4f6800ab050a2fdd564a9974e51a3ab7e41017f7f856\",0,\"lean_workbook_plus_55086\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617036,
+      "path": "data/train/p2c/oproofs-s00002-r00004468-n000004-0000-093e397247321da2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "093e397247321da2582b4455a6ef0ea3a7cc4c52910c5f337e9fb08a372a436a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004472-n000004.json b/manifests/batches/oproofs/s00002-r00004472-n000004.json
index d0d4d3be5212360c8cec7b91a0f7666e919b78b1..52bb20e3d71807068a55a80edffd97487ddf121a 100644
--- a/manifests/batches/oproofs/s00002-r00004472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004472-n000004",
   "batch_fingerprint": "441aa7c47ad92f58ce5b05cca82a5603d3cf37c4b4725d894464e3bbcf841ef6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004472-n000004-0000-4e04d892dca40e4c.parquet",
-      "sha256": "4e04d892dca40e4c0077d097ac31da5b27eb7b9aeb61c76cc3a158907c61f072",
-      "bytes": 220410,
-      "rows": 16,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004472-n000004-0000-d05cb14edb503c23.parquet",
-      "sha256": "d05cb14edb503c23d0d912cf47507c0174b877a1c471048f6289b70afba37ad4",
-      "bytes": 101314,
-      "rows": 8,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004473.lean\",\"f728ae243908e4e7dfc4fba8bd5d56f9fd32d77a66586e5d2cfc5151c185f8f9\",0,\"lean_workbook_plus_76249\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004474.lean\",\"f87c3a2cec7088b4920ffbefc2102aa6377452be10ed95a96fe40783ac6e6a3e\",0,\"equations_solutions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004475.lean\",\"95e70e0c6c47e0d700ba06f31ca656fcf1f6a51c78313b4e0182291f0b0ef0a3\",0,\"lean_workbook_plus_45835\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220410,
+      "path": "data/train/pe5/oproofs-s00002-r00004472-n000004-0000-4e04d892dca40e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4e04d892dca40e4c0077d097ac31da5b27eb7b9aeb61c76cc3a158907c61f072"
+    },
+    {
+      "bytes": 101314,
+      "path": "data/internal_test/pe5/oproofs-s00002-r00004472-n000004-0000-d05cb14edb503c23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d05cb14edb503c23d0d912cf47507c0174b877a1c471048f6289b70afba37ad4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004476-n000004.json b/manifests/batches/oproofs/s00002-r00004476-n000004.json
index aa3628cc130377279d0796d1bb9de24353488475..a0494df95b46578f91e438cbf9ef736348fd9ef2 100644
--- a/manifests/batches/oproofs/s00002-r00004476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004476-n000004",
   "batch_fingerprint": "1299d5ddad85890e0ef99b449e32497d2b2418b734c0d5a31f9f4e03ae925108",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004476-n000004-0000-c121e4c18e6c53ee.parquet",
-      "sha256": "c121e4c18e6c53eea0f29ff05a3638f5ad5dda3c7dad2ff8f6fba439fb988967",
-      "bytes": 337866,
-      "rows": 13,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004476-n000004-0000-18fffbd8b2f723d1.parquet",
-      "sha256": "18fffbd8b2f723d1d83f604ea900f3d551e1e936671c8a5819712c0b641425f6",
-      "bytes": 202770,
-      "rows": 11,
-      "revision": "8c52c02b3e22f8c52248c60e04f5eab105ca25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004477.lean\",\"fcb5f5083d1a082d0cdaaecf677fbfef73d7225e8d97b8705fc90d0cc7946a4b\",0,\"lean_workbook_plus_25743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004478.lean\",\"11f76c798929fe958111053ce38fe395c3c9bc25dc541c10fa849d67a1278c13\",0,\"lean_workbook_plus_24522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004479.lean\",\"9948f1e6a94ff74d6928e88b736e1d55d2887dc324406ae623b078575163a38a\",0,\"school_boarders_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337866,
+      "path": "data/train/p40/oproofs-s00002-r00004476-n000004-0000-c121e4c18e6c53ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c121e4c18e6c53eea0f29ff05a3638f5ad5dda3c7dad2ff8f6fba439fb988967"
+    },
+    {
+      "bytes": 202770,
+      "path": "data/dev/p40/oproofs-s00002-r00004476-n000004-0000-18fffbd8b2f723d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "18fffbd8b2f723d1d83f604ea900f3d551e1e936671c8a5819712c0b641425f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004480-n000004.json b/manifests/batches/oproofs/s00002-r00004480-n000004.json
index 7aa9629199d96b843d1b4bbf5820f0c1ba1b35c3..9be74b845acbe4d9443f7a5d280253aa82933b24 100644
--- a/manifests/batches/oproofs/s00002-r00004480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004480-n000004",
   "batch_fingerprint": "97377b4653c48dc92effa1dba2d2d4796738828772d6302455a2fbbe0e75d8a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004480-n000004-0000-661d3b622cb945a5.parquet",
-      "sha256": "661d3b622cb945a5a5e29968031473c839d36117d70dfdecac2d1c422a8e3f8f",
-      "bytes": 223417,
-      "rows": 13,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004480-n000004-0000-08914073c1e4ac59.parquet",
-      "sha256": "08914073c1e4ac59b6c144c44db1c8922d7a4180d4c0c7fdf06e1a4e165ec64b",
-      "bytes": 45007,
-      "rows": 5,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4481",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004481.lean\",\"cfefd4fe662ba995cfe5320db95f47cc297aa98fce336696c1667d8cdda0bd02\",0,\"lean_workbook_plus_81538\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004482.lean\",\"90cf0dea85c41a048ceccc10b69d65d1d0188e0a6bf15d4aee004655da92f682\",0,\"lean_workbook_plus_76132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004483.lean\",\"4b140e3369339fd30a7ee6f594cd9d7a3cbbf17cae85e8841d818436cfea081b\",0,\"lean_workbook_plus_30135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223417,
+      "path": "data/train/p5d/oproofs-s00002-r00004480-n000004-0000-661d3b622cb945a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "661d3b622cb945a5a5e29968031473c839d36117d70dfdecac2d1c422a8e3f8f"
+    },
+    {
+      "bytes": 45007,
+      "path": "data/internal_test/p5d/oproofs-s00002-r00004480-n000004-0000-08914073c1e4ac59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "08914073c1e4ac59b6c144c44db1c8922d7a4180d4c0c7fdf06e1a4e165ec64b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004484-n000004.json b/manifests/batches/oproofs/s00002-r00004484-n000004.json
index d150a26540aeaf518bafcdbeeb2a1d3fdb71b644..6643d5596f5639d51a4be3195c0aeb8fe2ec2f43 100644
--- a/manifests/batches/oproofs/s00002-r00004484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004484-n000004",
   "batch_fingerprint": "a492beed040569ff852b96bf1afc10d4adda84e253920c1acb39117ed4304dd3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004484-n000004-0000-d30995575362df1a.parquet",
-      "sha256": "d30995575362df1aafdc3d543fbb77dcec2395473f6b4ef57b05269ed42b79c7",
-      "bytes": 71211,
-      "rows": 11,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004484-n000004-0000-e11df7a6e51fcd7d.parquet",
-      "sha256": "e11df7a6e51fcd7d2765197889cc40575d21a285a56045a6448354772f761a96",
-      "bytes": 33709,
-      "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004485.lean\",\"f754a8aa1495e5c7a4613b9264bfd3036b99ee6c998679f9a03191caa337867f\",0,\"min_teachers_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004486.lean\",\"b6432615ea7f05ac3aa653a304d3f116674d2b31de2ea9cda0e5423404b774ab\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004487.lean\",\"2bf19e68d4373712748837acc42ba6ca7a4f68c9f90d3b64d00ceefed1eeb2ad\",0,\"lean_workbook_plus_12455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71211,
+      "path": "data/train/p4b/oproofs-s00002-r00004484-n000004-0000-d30995575362df1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d30995575362df1aafdc3d543fbb77dcec2395473f6b4ef57b05269ed42b79c7"
+    },
+    {
+      "bytes": 33709,
+      "path": "data/internal_test/p4b/oproofs-s00002-r00004484-n000004-0000-e11df7a6e51fcd7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e11df7a6e51fcd7d2765197889cc40575d21a285a56045a6448354772f761a96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004488-n000004.json b/manifests/batches/oproofs/s00002-r00004488-n000004.json
index b14de5d1b510ce22c37b504a731ee0cabe2d44c5..5d85a365f74d7b16b9189225237286e9f7cde2ee 100644
--- a/manifests/batches/oproofs/s00002-r00004488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004488-n000004",
   "batch_fingerprint": "2b50a99f856c42910ef08c948ccda8fd7a50d0080f6f089894dc4894765f2035",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004488-n000004-0000-2010db493b34201e.parquet",
-      "sha256": "2010db493b34201e376bd11fb0fce88f3dfe98f94f8f96b69f03c4e6cb0eb38d",
-      "bytes": 71597,
-      "rows": 5,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004488-n000004-0000-6496d14687f539cb.parquet",
-      "sha256": "6496d14687f539cb5702c9c80de932b72f28652f91dd5b32a9fe694346c0dab7",
-      "bytes": 61896,
-      "rows": 8,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004489.lean\",\"7b47e844c1a064d54bf2b8db48bcbebbc9a07a81c1d9ef4347bf9e52baed7875\",0,\"candy_game_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004490.lean\",\"41fa3b0d279299e4eaedc8b68351c64b2d54eb489e3f08f098c246a458eba06c\",0,\"ratio_less_than_two\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004491.lean\",\"71f476889078c4e3e39ce7f8a20f6b59fffd2476b4afa3f3be9c6bfaa22f1585\",0,\"lean_workbook_plus_27619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71597,
+      "path": "data/train/p90/oproofs-s00002-r00004488-n000004-0000-2010db493b34201e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2010db493b34201e376bd11fb0fce88f3dfe98f94f8f96b69f03c4e6cb0eb38d"
+    },
+    {
+      "bytes": 61896,
+      "path": "data/internal_test/p90/oproofs-s00002-r00004488-n000004-0000-6496d14687f539cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6496d14687f539cb5702c9c80de932b72f28652f91dd5b32a9fe694346c0dab7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004492-n000004.json b/manifests/batches/oproofs/s00002-r00004492-n000004.json
index f2393610ec44d117166b777287d5123f9b25675e..43f2f7bcf287b8165a3371e9d4de2516a4dd5c0f 100644
--- a/manifests/batches/oproofs/s00002-r00004492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004492-n000004",
   "batch_fingerprint": "29d2e85bb644a2133077d18db6c2aca9dce0ce85c6e64053b04799529f7e0fe0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004492-n000004-0000-d82d10a945e1ab80.parquet",
-      "sha256": "d82d10a945e1ab80f5d04a461fb13fe949c37024cfae9794f7b4af2dfa74822d",
-      "bytes": 204793,
-      "rows": 15,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004492-n000004-0000-6fd12e2a0d3910d5.parquet",
-      "sha256": "6fd12e2a0d3910d5d5dec6572939f11354a2f902d0261e235ae9ecd50b5ad011",
-      "bytes": 114420,
-      "rows": 6,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4493",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004493.lean\",\"bcd3e077b1c074017f318fcf3a29761df2e69475d8985a0fad67bad945487354\",0,\"lean_workbook_plus_27433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004494.lean\",\"75bcb62c753ba65de3f82498dd55a397cb24aa12bbbdcbb2524ca0759eedc10f\",0,\"periodic_odd_function_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004495.lean\",\"28e3899b943bd2517c8366091f1fcba38a3177063468867c157d3ad94c3c39c1\",0,\"lean_workbook_plus_42653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204793,
+      "path": "data/train/pbb/oproofs-s00002-r00004492-n000004-0000-d82d10a945e1ab80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d82d10a945e1ab80f5d04a461fb13fe949c37024cfae9794f7b4af2dfa74822d"
+    },
+    {
+      "bytes": 114420,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00004492-n000004-0000-6fd12e2a0d3910d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6fd12e2a0d3910d5d5dec6572939f11354a2f902d0261e235ae9ecd50b5ad011"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004496-n000004.json b/manifests/batches/oproofs/s00002-r00004496-n000004.json
index a3171e02db977c31516717d13710407ba928a1e2..d883146b56cde62dbcf654dcb322877902b4455f 100644
--- a/manifests/batches/oproofs/s00002-r00004496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004496-n000004",
   "batch_fingerprint": "64fa356557095d128806fb01f4479c0ae3f4fdb350f73d7dfa480572baaaf654",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004496-n000004-0000-4dc72cf92b7b679b.parquet",
-      "sha256": "4dc72cf92b7b679b8fa753582292c200072bbb8004b2d293e10b83f9f5ae1d0c",
-      "bytes": 542647,
-      "rows": 28,
-      "revision": "5bef515e73be992b6bc8f3825035b35a9c76a391"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004497.lean\",\"e852cd9fdc3f833e50175ae2da35ffc86a0ee35157a930207f5a89e37881705c\",0,\"lean_workbook_plus_77005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004498.lean\",\"d55e1ccf3b22a5f716fbef36e7cbf8046585fb92828fba915da75f8cfdd65b01\",0,\"lean_workbook_48450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004499.lean\",\"b9189be782014fb8005a2339a23cdeb9288cfeddd776f01faf4e3cc82b47aa5b\",0,\"lean_workbook_plus_79751\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 542647,
+      "path": "data/train/pd7/oproofs-s00002-r00004496-n000004-0000-4dc72cf92b7b679b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4dc72cf92b7b679b8fa753582292c200072bbb8004b2d293e10b83f9f5ae1d0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004500-n000004.json b/manifests/batches/oproofs/s00002-r00004500-n000004.json
index 019341d43f6831739f9b747934948397b7578835..999b00e503a69e3db706405de89ea49f52395e7d 100644
--- a/manifests/batches/oproofs/s00002-r00004500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004500-n000004",
   "batch_fingerprint": "4806d3363b0b48e0489707372a84a499492c02e290a3fedf224bfd880acaeec5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004500-n000004-0000-14982aa7611bc167.parquet",
-      "sha256": "14982aa7611bc167002478c49942dc5d202074f76e5ff999948b411181ed0509",
-      "bytes": 91389,
-      "rows": 16,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004501.lean\",\"9fa3ccede9c0f031cc12b7ad3bf3ccf611ed412f213af586c6710f54628d353a\",0,\"lean_workbook_plus_2496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004502.lean\",\"3025dfab7d39c4802deb4932be368c60339969292ae8e31f8a2055022ad8f8b8\",0,\"lean_workbook_plus_59928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004503.lean\",\"9b1d8c0f281ce5ba2eb5c225c7b079fad6e4e0b60c3507193391889abcd96c37\",0,\"lean_workbook_30526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91389,
+      "path": "data/train/p03/oproofs-s00002-r00004500-n000004-0000-14982aa7611bc167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "14982aa7611bc167002478c49942dc5d202074f76e5ff999948b411181ed0509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004504-n000004.json b/manifests/batches/oproofs/s00002-r00004504-n000004.json
index 3db3934e8eedb6899988633eff07563caae0829c..9af68f8e12da3c803390f6db075b09df0e71d880 100644
--- a/manifests/batches/oproofs/s00002-r00004504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004504-n000004",
   "batch_fingerprint": "7e771bea94de2ab7aa7103da38e850c43090363b9a5c7cc8da7b63987917c2fa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004504-n000004-0000-b2b1ea669e6266f8.parquet",
-      "sha256": "b2b1ea669e6266f8aef2b7bc77e8cbd1342185a956688bc058c8691ceab9041f",
-      "bytes": 100239,
-      "rows": 9,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004504-n000004-0000-14dd8816537030e2.parquet",
-      "sha256": "14dd8816537030e2af8c8914efc5052767c33beed607789a7f8d9c1fdb34c2c3",
-      "bytes": 101103,
-      "rows": 8,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004505.lean\",\"aae8def7f9e93b3065dda74038f8cd90329dd493ffe6a036fc1fdef96a9d8da1\",0,\"lean_workbook_49124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004506.lean\",\"84c392999210d05702c7e449dbb3f229714ce5acdfbfff4ad7be9709470b6c30\",0,\"lean_workbook_plus_43898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004507.lean\",\"db4841c1632a91076152452574d662f9975c8c1337a3efa098b7659c5c0334d3\",0,\"lean_workbook_plus_36796\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100239,
+      "path": "data/train/p32/oproofs-s00002-r00004504-n000004-0000-b2b1ea669e6266f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b2b1ea669e6266f8aef2b7bc77e8cbd1342185a956688bc058c8691ceab9041f"
+    },
+    {
+      "bytes": 101103,
+      "path": "data/internal_test/p32/oproofs-s00002-r00004504-n000004-0000-14dd8816537030e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "14dd8816537030e2af8c8914efc5052767c33beed607789a7f8d9c1fdb34c2c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004508-n000004.json b/manifests/batches/oproofs/s00002-r00004508-n000004.json
index 3bcf097c47262300ac5c1b83109f1245063be7a7..5f2be638e620207cf208ea450b2b4f162f63abc9 100644
--- a/manifests/batches/oproofs/s00002-r00004508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004508-n000004",
   "batch_fingerprint": "fd20b464439fd73e654c4817e094d9aa348be82ceca48502538b5dcafe5a2925",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004508-n000004-0000-6603dff1a96c8852.parquet",
-      "sha256": "6603dff1a96c88524d27b14adc06164e48a9bebfb8f2e063f6e9faaedce6d2cb",
-      "bytes": 184633,
-      "rows": 13,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004509.lean\",\"ac4be5a9c4a57494bee20b0f0cba1a94f6380faa864601435f46a2af382a327c\",0,\"lean_workbook_plus_46185\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004510.lean\",\"54ea2e13264fecfd1e7acbf2053f6fc6a104d014e05da4a4949ae61833665d99\",0,\"lean_workbook_plus_73430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004511.lean\",\"868de8f84c6b37f1a1b819967bedfa06d9e025e2b3129c36ddeed54c0fd408df\",0,\"lean_workbook_plus_45473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184633,
+      "path": "data/train/p2e/oproofs-s00002-r00004508-n000004-0000-6603dff1a96c8852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "6603dff1a96c88524d27b14adc06164e48a9bebfb8f2e063f6e9faaedce6d2cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004512-n000004.json b/manifests/batches/oproofs/s00002-r00004512-n000004.json
index f1fa158173b7acf7d0866ca974cce6e2d54c91ab..2c324be1555ed8482d6b9806bbfd382a4f3c421a 100644
--- a/manifests/batches/oproofs/s00002-r00004512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004512-n000004",
   "batch_fingerprint": "4b9732dcd757c8453d28c7daf68c12046ed85134fabf6aa0a23e14523484422c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004512-n000004-0000-6f81bd39d03959fd.parquet",
-      "sha256": "6f81bd39d03959fd516152c2821fa93f5d71df00e8a9299f5612561299e7b57b",
-      "bytes": 141400,
-      "rows": 12,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004512-n000004-0000-2b29540f4b2f57b0.parquet",
-      "sha256": "2b29540f4b2f57b08a80c681b431ad41a02536c78524bd28bf8cbff052ba9b75",
-      "bytes": 83406,
-      "rows": 3,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004513.lean\",\"7dc9087629434002ea1c4718dd6c6586d968531d95b5a28406c4ddedd53f24e5\",0,\"lean_workbook_plus_12166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004514.lean\",\"a4993b462cb718236bbacc625db90151e5a03a6e3d9c91161f4e0646c0be7eff\",0,\"lean_workbook_plus_20536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004515.lean\",\"9b6cadc34bf6481d8ea3c4f89acf4b64cc2bfe07ccaa5f48481988f6455b10e2\",0,\"uniform_savings\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141400,
+      "path": "data/train/p4c/oproofs-s00002-r00004512-n000004-0000-6f81bd39d03959fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6f81bd39d03959fd516152c2821fa93f5d71df00e8a9299f5612561299e7b57b"
+    },
+    {
+      "bytes": 83406,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00004512-n000004-0000-2b29540f4b2f57b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b29540f4b2f57b08a80c681b431ad41a02536c78524bd28bf8cbff052ba9b75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004516-n000004.json b/manifests/batches/oproofs/s00002-r00004516-n000004.json
index 3464d05388a1d22880c37b554c477c5577ccaf3e..2c3c7f38abf1339c2121d87c48eaccb327d35183 100644
--- a/manifests/batches/oproofs/s00002-r00004516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004516-n000004",
   "batch_fingerprint": "6b2586773fb68b77cab9b421a0a1345f9d07aff25c11efd6c5c96d38a6977d86",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004516-n000004-0000-11a09991264bd462.parquet",
-      "sha256": "11a09991264bd46298da2d6da690f146ec9c61fe50b23a28a22732e5cae2a8c8",
-      "bytes": 386259,
-      "rows": 18,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004517.lean\",\"badd7496646ea8fa29886bd2d97f3b5825444fb9ccb3e810f6e3864735cb55d8\",0,\"lean_workbook_plus_38910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004518.lean\",\"d579ab46abd4b6b7cb21c1862e523735ec17ca44ce19f6883ef8ad8457960d1d\",0,\"lean_workbook_plus_46061\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004519.lean\",\"e52cebc742f729d23747e97fe769054553d0ceaa7b971475b23de5ee6d10f61a\",0,\"lean_workbook_plus_65505\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386259,
+      "path": "data/train/pc7/oproofs-s00002-r00004516-n000004-0000-11a09991264bd462.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "11a09991264bd46298da2d6da690f146ec9c61fe50b23a28a22732e5cae2a8c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004520-n000004.json b/manifests/batches/oproofs/s00002-r00004520-n000004.json
index f7095429b2da9ab45db14306907ba77dd0270e99..489a3ccdc6359a239328024cea5239c251bf1b02 100644
--- a/manifests/batches/oproofs/s00002-r00004520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004520-n000004",
   "batch_fingerprint": "3f8b479c35856ef2bf6a86a84931ec084079e6101b870b97c8d2317fc12486f1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004520-n000004-0000-4fbd24b57892d8dc.parquet",
-      "sha256": "4fbd24b57892d8dcae2a7c61c08b6562198013cad1192f705710292853175a7a",
-      "bytes": 92148,
-      "rows": 8,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004520-n000004-0000-50805be177dc566c.parquet",
-      "sha256": "50805be177dc566c367d6c7e824e84391f773fb7e319fe20973595779ee4b922",
-      "bytes": 139283,
-      "rows": 14,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004521.lean\",\"bd727ea2f091d9c1abb6dd019ab35a1cbd1912043ed79120155a19f27a7aff18\",0,\"lean_workbook_49333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004522.lean\",\"4eb6f1f075d9ffe1946868ecd8e76f5c468c6ff0467018df0dd1aa05cea56fd1\",0,\"lean_workbook_plus_81939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004523.lean\",\"53ea70feb0f05420cc44b27d1f4db23ffb98cbb69d20f105527bdc415ca0c505\",0,\"lean_workbook_plus_38860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92148,
+      "path": "data/train/pfb/oproofs-s00002-r00004520-n000004-0000-4fbd24b57892d8dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4fbd24b57892d8dcae2a7c61c08b6562198013cad1192f705710292853175a7a"
+    },
+    {
+      "bytes": 139283,
+      "path": "data/internal_test/pfb/oproofs-s00002-r00004520-n000004-0000-50805be177dc566c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "50805be177dc566c367d6c7e824e84391f773fb7e319fe20973595779ee4b922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004524-n000004.json b/manifests/batches/oproofs/s00002-r00004524-n000004.json
index d1e88741a1bdb9ffc3af26c0e3e6be4115a72a89..9cfcd46ad2063bf810f954c5a2a6ab6bc03a23fb 100644
--- a/manifests/batches/oproofs/s00002-r00004524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004524-n000004",
   "batch_fingerprint": "ad2c2a0b54392c24e309979e89b425ad1015b205197ec60b30b2ad637a12572a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004524-n000004-0000-c9ed9fa15a4f86d2.parquet",
-      "sha256": "c9ed9fa15a4f86d28c63160fde2cea6efc10a60ef626af9120eb7e2c3ff27732",
-      "bytes": 396594,
-      "rows": 28,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004524-n000004-0000-368c85e05aadd79c.parquet",
-      "sha256": "368c85e05aadd79c6264866d97dabf0e5abc02bb032d7b144ff8543550d89f1b",
-      "bytes": 72136,
-      "rows": 3,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4525",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004525.lean\",\"eab4e1adda39933e6add7bcf3b86976c9d054d4de8e008b08d87484ec7feb872\",0,\"lean_workbook_5698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004526.lean\",\"55d8874cd6c2340a3d74469a501efc55ae3e26ef573f7bd7c6ab24412b4b22fd\",0,\"lean_workbook_plus_68200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004527.lean\",\"5bfc3ef55dc7b2044af764c9160d2f95d3557c43ee5fb459b9efeb9e6275a686\",0,\"lean_workbook_plus_57246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396594,
+      "path": "data/train/pe0/oproofs-s00002-r00004524-n000004-0000-c9ed9fa15a4f86d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "c9ed9fa15a4f86d28c63160fde2cea6efc10a60ef626af9120eb7e2c3ff27732"
+    },
+    {
+      "bytes": 72136,
+      "path": "data/internal_test/pe0/oproofs-s00002-r00004524-n000004-0000-368c85e05aadd79c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "368c85e05aadd79c6264866d97dabf0e5abc02bb032d7b144ff8543550d89f1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004528-n000004.json b/manifests/batches/oproofs/s00002-r00004528-n000004.json
index 5485e8ce94b573e6c2a8f566f0345d3d6c3988f6..1203eeef65033629d7886a265a4f945ab5b0c2ac 100644
--- a/manifests/batches/oproofs/s00002-r00004528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004528-n000004",
   "batch_fingerprint": "9a1ac75920c8fb54359218dabd4c8bbdff65ed15181658a46beaa7f0f4cca884",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004528-n000004-0000-ee57a1cfa1150495.parquet",
-      "sha256": "ee57a1cfa11504956fca54f1a7567b12fb48c610c46249f056ca3b31d7350f4c",
-      "bytes": 75298,
-      "rows": 12,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004529.lean\",\"83fbfa97a18b672b126376a41afd6ca9de2f0271df4681e752b46149c17ed5ec\",0,\"lean_workbook_plus_46153\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004530.lean\",\"611f77cc246cb858da6de827ab64183cc11a486c6df22c28118abce633d8b4e6\",0,\"lean_workbook_37853\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004531.lean\",\"79548f54237cc2b92882cf8b6c774557e4a09fd953011b130a9d358c5129c1ff\",0,\"lean_workbook_40933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75298,
+      "path": "data/train/p08/oproofs-s00002-r00004528-n000004-0000-ee57a1cfa1150495.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ee57a1cfa11504956fca54f1a7567b12fb48c610c46249f056ca3b31d7350f4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004532-n000004.json b/manifests/batches/oproofs/s00002-r00004532-n000004.json
index a11b2501f82b0b30474ab42a14ceec487d5ac60a..0a970e9770718ff8d4bf44a5a4247e5c45eaa9d5 100644
--- a/manifests/batches/oproofs/s00002-r00004532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004532-n000004",
   "batch_fingerprint": "4031cb53e61c71e14068fdf61e61f8f0f9a1494700ef11b0d80fe7104ed8526a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004532-n000004-0000-afa86d4477556f72.parquet",
-      "sha256": "afa86d4477556f7212cf0d85d0db059c4d39d4844d25336f74ece3344fe033e2",
-      "bytes": 506871,
-      "rows": 17,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004532-n000004-0000-2a8630431a881c94.parquet",
-      "sha256": "2a8630431a881c94ce105b4c91e2e160d86c8a79ddc135f90b630fb9256fe33e",
-      "bytes": 121324,
-      "rows": 7,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004533.lean\",\"e5592df632131637148cdebccf0f448137002ebd2bc985acac663839ebe766e8\",0,\"lean_workbook_plus_63681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004534.lean\",\"8e3643aa71356914052439662ac1fc3ede694cda3344a491609b91aad4e9764f\",0,\"lean_workbook_plus_68493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004535.lean\",\"79e26472ecf57cfc922cf6d883d94d8649587a5ca69c0778134b32ce163c313a\",0,\"lean_workbook_plus_8710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506871,
+      "path": "data/train/pb1/oproofs-s00002-r00004532-n000004-0000-afa86d4477556f72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "afa86d4477556f7212cf0d85d0db059c4d39d4844d25336f74ece3344fe033e2"
+    },
+    {
+      "bytes": 121324,
+      "path": "data/dev/pb1/oproofs-s00002-r00004532-n000004-0000-2a8630431a881c94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2a8630431a881c94ce105b4c91e2e160d86c8a79ddc135f90b630fb9256fe33e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004536-n000004.json b/manifests/batches/oproofs/s00002-r00004536-n000004.json
index 27d3abbd5f1fe41ac3a58e0d05bdfd1b757687b7..419b4087901ef753d1cccf7e67053b80482f518c 100644
--- a/manifests/batches/oproofs/s00002-r00004536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004536-n000004",
   "batch_fingerprint": "6fcca2ea3cb9e76e2c4a20cfb40384602cd908b03b8301d6ac1cb75c9a8d3d2d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004536-n000004-0000-179ffa7dc3194dea.parquet",
-      "sha256": "179ffa7dc3194dea4897759ae610e065574cf2bb9593dc4350411cff154bacdf",
-      "bytes": 158703,
-      "rows": 14,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004536-n000004-0000-baac3beec9f2a6d6.parquet",
-      "sha256": "baac3beec9f2a6d62bb405ba1f7002361c97496e5f11e21327639f8058c97983",
-      "bytes": 51153,
-      "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004537.lean\",\"d26f2b26c400466ba4308f7877aa864f687617b3a6b244aaa997dc4b2751bc7d\",0,\"lean_workbook_47401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004538.lean\",\"6ba32b3bbcd690b9ab08390562c3a2df6d40e439d65cb9bfcddbcfd94f6165aa\",0,\"lean_workbook_plus_40700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004539.lean\",\"b8929772906b6ba503446e7674702d6e83bd62f6a812a1162c5806a51a50db4f\",0,\"lean_workbook_plus_23318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158703,
+      "path": "data/train/pa9/oproofs-s00002-r00004536-n000004-0000-179ffa7dc3194dea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "179ffa7dc3194dea4897759ae610e065574cf2bb9593dc4350411cff154bacdf"
+    },
+    {
+      "bytes": 51153,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00004536-n000004-0000-baac3beec9f2a6d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "baac3beec9f2a6d62bb405ba1f7002361c97496e5f11e21327639f8058c97983"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004540-n000004.json b/manifests/batches/oproofs/s00002-r00004540-n000004.json
index b46e6812f3cd3367690d084bea10300f0731917b..733739469f5562e9e6008680727fe2add05b4567 100644
--- a/manifests/batches/oproofs/s00002-r00004540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004540-n000004",
   "batch_fingerprint": "2a58cc10c599b6523c2a9986a09751a5cd713e603dc85c6cdb1a0ef2a5e9ca34",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004540-n000004-0000-f07078ac68e32742.parquet",
-      "sha256": "f07078ac68e32742b21dcbcef26dce98dfa83d09ce9d9aaab5ccd61699068db6",
-      "bytes": 319558,
-      "rows": 18,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004541.lean\",\"e43cfe3e0d3b1fea911e8e3021e4deab7df3d3844d49250a66a49a9551a6cdef\",0,\"lean_workbook_plus_38857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004542.lean\",\"f476b06674a85c2c695bc04942f197895e3b42af2fc5f6b2580193c24a2974d2\",0,\"lean_workbook_plus_10383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004543.lean\",\"614410e52518849e152243ed3f9c1483a81e77d401f791e0f1a91ac6ac269f3f\",0,\"lean_workbook_plus_20490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319558,
+      "path": "data/train/pee/oproofs-s00002-r00004540-n000004-0000-f07078ac68e32742.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f07078ac68e32742b21dcbcef26dce98dfa83d09ce9d9aaab5ccd61699068db6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004544-n000004.json b/manifests/batches/oproofs/s00002-r00004544-n000004.json
index 8f801a3055d82de8f19eb46626296e0a17106f85..11c18f1db79ab58e83bf627a9f5214b80db220aa 100644
--- a/manifests/batches/oproofs/s00002-r00004544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004544-n000004",
   "batch_fingerprint": "6db2e7756809083b2f7420247a01e82f6da81601f751cacaabdc9ac042f00c4e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004544-n000004-0000-f6ef3584a9c6a56d.parquet",
-      "sha256": "f6ef3584a9c6a56d5fbb09d4b277748e6755c98f12b7f460c4062362abb4d1dd",
-      "bytes": 151451,
-      "rows": 11,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004544-n000004-0000-b0919dd32c49ccbe.parquet",
-      "sha256": "b0919dd32c49ccbe7edacd24ed42f60bb4268dc0de9c3ff5b28225dad67df960",
-      "bytes": 32214,
-      "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004545.lean\",\"9d8049053ea6281f46481e334ea759dfe18d26e434fff0c6dbba6690484f760d\",0,\"lean_workbook_plus_47043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004546.lean\",\"4dcf9c9826e7c81dcb574fa727bd093e80405259bf5484a17422d4850c099765\",0,\"lean_workbook_plus_14650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004547.lean\",\"621023e75f576d64ab97d0816e2a61f8917ca1692eb015a90a307ba3b7e6714a\",0,\"negation_equivalence_proposition\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151451,
+      "path": "data/train/p45/oproofs-s00002-r00004544-n000004-0000-f6ef3584a9c6a56d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f6ef3584a9c6a56d5fbb09d4b277748e6755c98f12b7f460c4062362abb4d1dd"
+    },
+    {
+      "bytes": 32214,
+      "path": "data/internal_test/p45/oproofs-s00002-r00004544-n000004-0000-b0919dd32c49ccbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b0919dd32c49ccbe7edacd24ed42f60bb4268dc0de9c3ff5b28225dad67df960"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004548-n000004.json b/manifests/batches/oproofs/s00002-r00004548-n000004.json
index 777c3f16eeb86680374e4c7545cbeb60e298cf36..60d91e8197ea71e723bcbc49ec8fcba2d3cbb950 100644
--- a/manifests/batches/oproofs/s00002-r00004548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004548-n000004",
   "batch_fingerprint": "f8f74ba6cbc3e33d82e24b9083d693c580bc449a3ff393ffcd844afb6927203a",
   "evidence": {
@@ -41,15 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004548-n000004-0000-47425c36fd9ebc07.parquet",
-      "sha256": "47425c36fd9ebc07e3f143d52011eb5fa95035bfdd94a93faeb7a786d591b3d9",
-      "bytes": 123913,
-      "rows": 12,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4550",
@@ -59,5 +50,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004548.lean\",\"8182ec45634bf217f1390a6337c658baec3718ce1542d400d6872f488298f77a\",0,\"lean_workbook_plus_78477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004550.lean\",\"f180971adaa9957743d9f7f1912ec74c1d7e2ea04c91f5c4ba2904c0b06184e3\",0,\"lean_workbook_plus_73489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004551.lean\",\"b5975fd5c165219bf3d5a352f03a6c2c5108609eabfe375fe5a6d126258e3d20\",0,\"lean_workbook_plus_40341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123913,
+      "path": "data/train/pa3/oproofs-s00002-r00004548-n000004-0000-47425c36fd9ebc07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "47425c36fd9ebc07e3f143d52011eb5fa95035bfdd94a93faeb7a786d591b3d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004552-n000004.json b/manifests/batches/oproofs/s00002-r00004552-n000004.json
index cc83e0318b1c9a45535fc27fdc435ba26827899c..c051a8f26817772bd1a8f549561d5e6bb911eac5 100644
--- a/manifests/batches/oproofs/s00002-r00004552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004552-n000004",
   "batch_fingerprint": "e2b66ca25ec12f2f894b2d9e4c9c87324b4b3b2352db18d2057f2808a37de79c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004552-n000004-0000-98a32a2641d6ea06.parquet",
-      "sha256": "98a32a2641d6ea068898b98e847d23fe804e505b35cece53fbcbf94082d3e78a",
-      "bytes": 139676,
-      "rows": 17,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4553",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004553.lean\",\"dc52cb280e11b13a2b065c76f5b2497f16a716ec86a8ab34d22e4ad65de113df\",0,\"lean_workbook_plus_75554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004554.lean\",\"2ca6e88a264e906d0903d00ea4f0cc2e63e06e568b8ebab918aa276980105253\",0,\"lean_workbook_plus_40022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004555.lean\",\"2b26218b6b5e1a31b006eb8f0b48eeed6cb9ad5b73ff851f0b90cbbe4df81fa2\",0,\"lean_workbook_plus_57957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139676,
+      "path": "data/train/p90/oproofs-s00002-r00004552-n000004-0000-98a32a2641d6ea06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "98a32a2641d6ea068898b98e847d23fe804e505b35cece53fbcbf94082d3e78a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004556-n000004.json b/manifests/batches/oproofs/s00002-r00004556-n000004.json
index 4a001bbe9a878afaf4b22217ceaac10880adf994..c5ffc4f3dd6daf1386335bbc946173feea8cbfbc 100644
--- a/manifests/batches/oproofs/s00002-r00004556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004556-n000004",
   "batch_fingerprint": "c71aa4fe09104bd3b1517c22dd82334767294375186bcf8c417ad0165f27f102",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004556-n000004-0000-98ab12b14a13f973.parquet",
-      "sha256": "98ab12b14a13f973483f1516330c8cd50d8de0c2d763e797d9082f75e52ab88f",
-      "bytes": 307795,
-      "rows": 19,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004557.lean\",\"02a5c137406c1ecb91e22b4e5b130345816929d660771e28301f4c7f50179598\",0,\"lean_workbook_plus_11197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004558.lean\",\"8a015f426ea335c7d9a8f24aad466752459743130bb554dcc33fc59cb61f0a68\",0,\"sqrt_three_over_seven_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004559.lean\",\"54fa40dd2758089dc4aff385a4fa12687eea5752ba74df9d48b536d4927ef4af\",0,\"lean_workbook_plus_57199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307795,
+      "path": "data/train/p88/oproofs-s00002-r00004556-n000004-0000-98ab12b14a13f973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "98ab12b14a13f973483f1516330c8cd50d8de0c2d763e797d9082f75e52ab88f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004560-n000004.json b/manifests/batches/oproofs/s00002-r00004560-n000004.json
index 6282905e668d38ee52a95c7b7e40b54411a56d61..ab58f43a413e3c341b58cc8ca6544f514981bb91 100644
--- a/manifests/batches/oproofs/s00002-r00004560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004560-n000004",
   "batch_fingerprint": "87684958d8972815f0bf99bb34c9048ff2467d0b2fd35807f28521dac97db924",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004560-n000004-0000-aaf8e5ab8e5c7d8c.parquet",
-      "sha256": "aaf8e5ab8e5c7d8ce3a5e49d2f0515d269aa5f94e945d0d403b212afa7a27dfd",
-      "bytes": 143017,
-      "rows": 9,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004560-n000004-0000-f071e214b8d5fced.parquet",
-      "sha256": "f071e214b8d5fcedde76de27be13160760d28ff70fd8fce2b2c467108ca8a83f",
-      "bytes": 229329,
-      "rows": 11,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004561.lean\",\"21ca400a4570b8bf33285ea073f5c6ce47ad76ff375cc4612231ba2136a9d4f3\",0,\"lean_workbook_plus_45835\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004562.lean\",\"e0fe0f60d732212617ee24c279686831aabbc06abd774b9df90ee9eee691e964\",0,\"lean_workbook_28840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004563.lean\",\"2a61854a173b078503baaf41b44853ef9317dc7f22d51fd5e782d6d9b762aadb\",0,\"lean_workbook_plus_76249\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143017,
+      "path": "data/train/p48/oproofs-s00002-r00004560-n000004-0000-aaf8e5ab8e5c7d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "aaf8e5ab8e5c7d8ce3a5e49d2f0515d269aa5f94e945d0d403b212afa7a27dfd"
+    },
+    {
+      "bytes": 229329,
+      "path": "data/internal_test/p48/oproofs-s00002-r00004560-n000004-0000-f071e214b8d5fced.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f071e214b8d5fcedde76de27be13160760d28ff70fd8fce2b2c467108ca8a83f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004564-n000004.json b/manifests/batches/oproofs/s00002-r00004564-n000004.json
index 8f14035c1824a84ce86b7bc58b508da164a85a46..1c57c15f42d59dc1e13d1de37039f83b799936f6 100644
--- a/manifests/batches/oproofs/s00002-r00004564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004564-n000004",
   "batch_fingerprint": "10b3c68dee38ebb7c7951ec37104eb0211b528c52b2bb1b1f7b62556a80d0bb6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004564-n000004-0000-fa4aa2c2e09f470e.parquet",
-      "sha256": "fa4aa2c2e09f470e216bd921213e7ed9251c8de3127bf09df7f5f66dcd078dbb",
-      "bytes": 205228,
-      "rows": 15,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004564-n000004-0000-c581c2ea2d523289.parquet",
-      "sha256": "c581c2ea2d52328937e9eb6d706a21ec98a9bd32c7cb18ff3d3e04540a3b14a9",
-      "bytes": 45440,
-      "rows": 5,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004565.lean\",\"cefd4ccc42caeb117051c3b0754fa5b664780d2115b1c935730cffbc81a40cfa\",0,\"lean_workbook_plus_18677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004566.lean\",\"30adc382f8fd79696688706afed58e833080b7ca2d74f2788b013d8b18d93806\",0,\"tony_money_remaining\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004567.lean\",\"81ba57ea5634d701095d9f5daf6e57de0cdf68241f78210f78873e99d16456da\",0,\"lean_workbook_plus_81538\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205228,
+      "path": "data/train/p3c/oproofs-s00002-r00004564-n000004-0000-fa4aa2c2e09f470e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fa4aa2c2e09f470e216bd921213e7ed9251c8de3127bf09df7f5f66dcd078dbb"
+    },
+    {
+      "bytes": 45440,
+      "path": "data/internal_test/p3c/oproofs-s00002-r00004564-n000004-0000-c581c2ea2d523289.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c581c2ea2d52328937e9eb6d706a21ec98a9bd32c7cb18ff3d3e04540a3b14a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004568-n000004.json b/manifests/batches/oproofs/s00002-r00004568-n000004.json
index d8a230836d2f423eb102e5004e9cb66d9e10a959..06bf8784672bb59bb0a80de6bdf13a4058808b0d 100644
--- a/manifests/batches/oproofs/s00002-r00004568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004568-n000004",
   "batch_fingerprint": "bbcd2b53fb2c7e199632266663f3b0742eedc808460811d58e14ad3b36270676",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004568-n000004-0000-aaba5265f6f51406.parquet",
-      "sha256": "aaba5265f6f51406c393e9ca3d2925b1c55d9d52d60d556979e8dac5609fbd8a",
-      "bytes": 72981,
-      "rows": 8,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004568-n000004-0000-4041505801c2f3b0.parquet",
-      "sha256": "4041505801c2f3b0fd24496b846c679af375c203199fd566f38a255386942342",
-      "bytes": 33392,
-      "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4569",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004569.lean\",\"79172d0e184f20042a6738c75c23b07879bcb64fea7af14275972cf28ec92f4f\",0,\"lean_workbook_plus_7801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004570.lean\",\"3066cfb9b7b9ab7d3e6aa7fe8d080123351a318de101da523472ec4c3d95a77c\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004571.lean\",\"dfe263e0da842758daf21d73a01369ba3586f426fa72a85db95914bc40f85234\",0,\"regular_2002_gon_arrangement\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72981,
+      "path": "data/train/pae/oproofs-s00002-r00004568-n000004-0000-aaba5265f6f51406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "aaba5265f6f51406c393e9ca3d2925b1c55d9d52d60d556979e8dac5609fbd8a"
+    },
+    {
+      "bytes": 33392,
+      "path": "data/internal_test/pae/oproofs-s00002-r00004568-n000004-0000-4041505801c2f3b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4041505801c2f3b0fd24496b846c679af375c203199fd566f38a255386942342"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004572-n000004.json b/manifests/batches/oproofs/s00002-r00004572-n000004.json
index 5987c637872a33902961c560b14137206af581a9..803b39da1e08f1cc7a84525e79659d63b336c7a1 100644
--- a/manifests/batches/oproofs/s00002-r00004572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004572-n000004",
   "batch_fingerprint": "fe92ad49e5395853964087a2845998b81206eef7fa1e85cae8fd2d862f1ae107",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4572",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4573",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4574",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4575"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004572.lean\",\"6d31697ef4cd7d114c25f4890cf2684e48c70de7f557a297b4294416791f30ec\",0,\"sugar_solution_concentration\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004573.lean\",\"c247ebb091ecdc9d5d5a7af04899d8920428946f8d129b550081ac65a944e83c\",0,\"lean_workbook_plus_12455\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004574.lean\",\"b33254f330f0d34441e25f7cf75745ef73a627c01648ae098b37ce14ff1886f0\",0,\"candy_game_solution\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004575.lean\",\"b827ab875d0ef884061faa3979d2429c934b831d424972db2f84fbc024205bb0\",0,\"lean_workbook_plus_48082\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004572-n000004-0000-d22e0b635d14df7b.parquet",
-      "sha256": "d22e0b635d14df7bb085bdac0214ed105322d9f702eafa4e33ef000cecdcc4b0",
       "bytes": 60533,
+      "path": "data/train/p04/oproofs-s00002-r00004572-n000004-0000-d22e0b635d14df7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "d22e0b635d14df7bb085bdac0214ed105322d9f702eafa4e33ef000cecdcc4b0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004572-n000004-0000-92828820f9a748c9.parquet",
-      "sha256": "92828820f9a748c9e3f8656286eb5a8db5853c59ef6295c3fbe668ac0c258e09",
       "bytes": 84274,
+      "path": "data/dev/p04/oproofs-s00002-r00004572-n000004-0000-92828820f9a748c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "92828820f9a748c9e3f8656286eb5a8db5853c59ef6295c3fbe668ac0c258e09"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004572-n000004-0000-1de007e2e025c105.parquet",
-      "sha256": "1de007e2e025c1056d57fa20870948998ba4511d0b5e4d5117f14e0afdf46270",
       "bytes": 81731,
+      "path": "data/internal_test/p04/oproofs-s00002-r00004572-n000004-0000-1de007e2e025c105.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "1de007e2e025c1056d57fa20870948998ba4511d0b5e4d5117f14e0afdf46270"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4572",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4573",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4574",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4575"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004572.lean\",\"6d31697ef4cd7d114c25f4890cf2684e48c70de7f557a297b4294416791f30ec\",0,\"sugar_solution_concentration\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004573.lean\",\"c247ebb091ecdc9d5d5a7af04899d8920428946f8d129b550081ac65a944e83c\",0,\"lean_workbook_plus_12455\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004574.lean\",\"b33254f330f0d34441e25f7cf75745ef73a627c01648ae098b37ce14ff1886f0\",0,\"candy_game_solution\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004575.lean\",\"b827ab875d0ef884061faa3979d2429c934b831d424972db2f84fbc024205bb0\",0,\"lean_workbook_plus_48082\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004576-n000004.json b/manifests/batches/oproofs/s00002-r00004576-n000004.json
index f78e9454f064142eb7c5d4e0b81dc715bd5f77f4..8778d7a09ba57208ec59079f960deb01a747ab31 100644
--- a/manifests/batches/oproofs/s00002-r00004576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004576-n000004",
   "batch_fingerprint": "102b71c0e16ce05e672f34dbc22f5ea16a2c33f7a8d9096cedf12f2b7a298522",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4576",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4577",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4578",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4579"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004576.lean\",\"f3c1d25afe04583a23d1615dc8657f47680a631e5f82e65535a7b35ccddb0bbb\",0,\"lean_workbook_plus_17598\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004577.lean\",\"6a50e6ed84896df7fd295aa788d076153e36ef626483ba02772d9efcba947c9c\",0,\"lean_workbook_4514\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004578.lean\",\"dc76f562c1265ef9e891cdc41714450a1d7979f76b80b754023924434fca8977\",0,\"lean_workbook_plus_27619\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004579.lean\",\"519caccc363be73101de835ff0e7566dbd3abfbf7af4b2af8aec894cdc81137d\",0,\"lean_workbook_plus_20307\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004576-n000004-0000-fbcd823a1f29915e.parquet",
-      "sha256": "fbcd823a1f29915e95e3bf6d254650127a48cfd258fdf5dbfcf14e44173c6f84",
       "bytes": 117378,
+      "path": "data/train/p49/oproofs-s00002-r00004576-n000004-0000-fbcd823a1f29915e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "fbcd823a1f29915e95e3bf6d254650127a48cfd258fdf5dbfcf14e44173c6f84"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004576-n000004-0000-fe26762d1d909a5f.parquet",
-      "sha256": "fe26762d1d909a5f72875b036de59f83484ebb85774593ff252ee23fdc4e7bdd",
       "bytes": 247218,
+      "path": "data/dev/p49/oproofs-s00002-r00004576-n000004-0000-fe26762d1d909a5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "fe26762d1d909a5f72875b036de59f83484ebb85774593ff252ee23fdc4e7bdd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004576-n000004-0000-26895c2ae072d127.parquet",
-      "sha256": "26895c2ae072d127b5db346e8471b2958496be3bc4d97f33d9a1bdb34837f9c2",
       "bytes": 47340,
+      "path": "data/internal_test/p49/oproofs-s00002-r00004576-n000004-0000-26895c2ae072d127.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
+      "sha256": "26895c2ae072d127b5db346e8471b2958496be3bc4d97f33d9a1bdb34837f9c2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4576",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4577",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4578",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4579"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004576.lean\",\"f3c1d25afe04583a23d1615dc8657f47680a631e5f82e65535a7b35ccddb0bbb\",0,\"lean_workbook_plus_17598\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004577.lean\",\"6a50e6ed84896df7fd295aa788d076153e36ef626483ba02772d9efcba947c9c\",0,\"lean_workbook_4514\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004578.lean\",\"dc76f562c1265ef9e891cdc41714450a1d7979f76b80b754023924434fca8977\",0,\"lean_workbook_plus_27619\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004579.lean\",\"519caccc363be73101de835ff0e7566dbd3abfbf7af4b2af8aec894cdc81137d\",0,\"lean_workbook_plus_20307\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004580-n000004.json b/manifests/batches/oproofs/s00002-r00004580-n000004.json
index c7c76a2e3c4f8b13dc1c0c0f5a4ee617386ce947..ecb800e85ab0e7e1e8b5f1151a19024a7232df06 100644
--- a/manifests/batches/oproofs/s00002-r00004580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004580-n000004",
   "batch_fingerprint": "2a8c34b266f24bb240b31403a0b859482c4561163d9ea3900b08d80424624368",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004580-n000004-0000-a1e7144be1b06a76.parquet",
-      "sha256": "a1e7144be1b06a7681c61719e895efdaf2355041548cd20e41a84f75781a1e8c",
-      "bytes": 267339,
-      "rows": 16,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004580-n000004-0000-a588a68a088529a9.parquet",
-      "sha256": "a588a68a088529a909eaa802b6dc695c751cd667419307c61acadd65145460ee",
-      "bytes": 102465,
-      "rows": 5,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004581.lean\",\"49e354ae4ebba7b09c91be7d95b599a89bd1b7f3cd0dbddfc1160538bbab7607\",0,\"lean_workbook_plus_30135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004582.lean\",\"64d6b3b7c76048bdcecf9f6eacdc7558dead9dd467d801a5714a15701d68fa91\",0,\"periodic_odd_function_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004583.lean\",\"b9c5d9fe7a9366329573a3ed89e5d26e9c93057d39da7fb4dce5543f0d4dc5d8\",0,\"lean_workbook_plus_16043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267339,
+      "path": "data/train/pd4/oproofs-s00002-r00004580-n000004-0000-a1e7144be1b06a76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a1e7144be1b06a7681c61719e895efdaf2355041548cd20e41a84f75781a1e8c"
+    },
+    {
+      "bytes": 102465,
+      "path": "data/internal_test/pd4/oproofs-s00002-r00004580-n000004-0000-a588a68a088529a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a588a68a088529a909eaa802b6dc695c751cd667419307c61acadd65145460ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004584-n000004.json b/manifests/batches/oproofs/s00002-r00004584-n000004.json
index bf02e1fbc7b9869757c6a1f1f44232789d2c91a4..5945924abafb95a77ec7a3ddf5743371df89987e 100644
--- a/manifests/batches/oproofs/s00002-r00004584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004584-n000004",
   "batch_fingerprint": "a4b6a7b65dc478e2f1f71345c20c9f08c2bde28d5e074b2393bf6c43b38f2423",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004584-n000004-0000-ffd3f159ca9eb0f2.parquet",
-      "sha256": "ffd3f159ca9eb0f2c904fcb63ec25dda2184e6420d80e229953a7ea73c8d8853",
-      "bytes": 820152,
-      "rows": 23,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004585.lean\",\"9dc24969181172f2adacb29688dd138cdc81d05d460f392d21d9e22e2ed1a6e5\",0,\"lean_workbook_plus_77005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004586.lean\",\"dc164e376954d46af5f7f844358a3a093ebf961d25697ca25c274931a13e2c3b\",0,\"lean_workbook_48450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004587.lean\",\"d41414524358719c8ad84060eb0f1e4ef9b33a76050867f1b9ca157e39d65bee\",0,\"lean_workbook_plus_25743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 820152,
+      "path": "data/train/p8b/oproofs-s00002-r00004584-n000004-0000-ffd3f159ca9eb0f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ffd3f159ca9eb0f2c904fcb63ec25dda2184e6420d80e229953a7ea73c8d8853"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004588-n000004.json b/manifests/batches/oproofs/s00002-r00004588-n000004.json
index 86878ed8b34d4293e14963fe125f052dd4e2cdfd..3d2bca2c2909b4d283500b708a7b9316de9b758f 100644
--- a/manifests/batches/oproofs/s00002-r00004588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004588-n000004",
   "batch_fingerprint": "13b2c49c36cb6b5cfc38a7804ebdc32a2579560b88405bb47745781a311bbccd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004588-n000004-0000-7f2f1adc4c87352a.parquet",
-      "sha256": "7f2f1adc4c87352a36665865bd4de546aebbb112cc1e0793a01dacd60408f36c",
-      "bytes": 103918,
-      "rows": 11,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004589.lean\",\"69ad98feb882386371ce36a5f09eb65f5e7796cfff9d62742cbf0c070f178dc7\",0,\"lean_workbook_plus_59928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004590.lean\",\"fc7cae3af47a83986a678b391968b6e4b22445f59a3cd2da79dfbddc0a7f486d\",0,\"lean_workbook_plus_24128\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004591.lean\",\"08ec5fb5b1091d0c097588224d8b631def954491fd9fafd94d0e37b55312ce70\",0,\"lean_workbook_30526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103918,
+      "path": "data/train/pcc/oproofs-s00002-r00004588-n000004-0000-7f2f1adc4c87352a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7f2f1adc4c87352a36665865bd4de546aebbb112cc1e0793a01dacd60408f36c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004592-n000004.json b/manifests/batches/oproofs/s00002-r00004592-n000004.json
index 4a24dc0e144973f9ee81b5eea9d4c6ab8ea86e35..72ffbcd642f1c928e8e92dbff674871fc5de4c93 100644
--- a/manifests/batches/oproofs/s00002-r00004592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004592-n000004",
   "batch_fingerprint": "9fdc2a615cd91546977396f0e993f404f29d97f2a061b43deadeeed77e38f192",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004592-n000004-0000-491f1616c58c519d.parquet",
-      "sha256": "491f1616c58c519d0f4b6081d28a23372ab9d9095fe9537372e30ba65f184b86",
-      "bytes": 94827,
-      "rows": 12,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004592-n000004-0000-54af252578cc95f2.parquet",
-      "sha256": "54af252578cc95f29c5bacab0bdc9e68e3ee8592cb542c251586efdf6417f199",
-      "bytes": 81064,
-      "rows": 4,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4593",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004593.lean\",\"3bc787bc9e7de5d8bf98e387d6bb72c7410f49e897dd64fa90ba16167535f433\",0,\"lean_workbook_3240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004594.lean\",\"3e47021281e53b1f62c954d9bde9274947e3cfc2278cc8cdd5eb6b198dcdd45c\",0,\"lean_workbook_10482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004595.lean\",\"dafd02478bcfcf6bfa6820b68fb6f0bab1fa73a70ab806597053c969b83cab7e\",0,\"lean_workbook_plus_73430\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94827,
+      "path": "data/train/pbc/oproofs-s00002-r00004592-n000004-0000-491f1616c58c519d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "491f1616c58c519d0f4b6081d28a23372ab9d9095fe9537372e30ba65f184b86"
+    },
+    {
+      "bytes": 81064,
+      "path": "data/internal_test/pbc/oproofs-s00002-r00004592-n000004-0000-54af252578cc95f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "54af252578cc95f29c5bacab0bdc9e68e3ee8592cb542c251586efdf6417f199"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004596-n000004.json b/manifests/batches/oproofs/s00002-r00004596-n000004.json
index 0d56afa10307dd306e52df6c5198fa36f9c7a0ab..d4965281dfe6253d54612fc140355ddeb9fa2165 100644
--- a/manifests/batches/oproofs/s00002-r00004596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004596-n000004",
   "batch_fingerprint": "85810ec9174b2ca2e31c2628c481120959dd8e895f01c80e3e5a05fc2582cd7b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004596-n000004-0000-c930a44e63414681.parquet",
-      "sha256": "c930a44e63414681b4ba11ebba5b9beda199d36645c2b7d67c80488d7287442a",
-      "bytes": 202515,
-      "rows": 20,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004597.lean\",\"3f82683e142ae42cfdb57d70b10705b17a2a0de0b67684c7fcd3346a1f76cd18\",0,\"lean_workbook_plus_3634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004598.lean\",\"6616c9fe26aa9cdcde9a6459d4444221ee3c4408737dc0ed7e910946f2936491\",0,\"lean_workbook_plus_2496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004599.lean\",\"4c934da0102f9a40b094cf26651564254fa91aaea3c38557206ada5b244dd8fc\",0,\"lean_workbook_plus_70662\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202515,
+      "path": "data/train/p48/oproofs-s00002-r00004596-n000004-0000-c930a44e63414681.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c930a44e63414681b4ba11ebba5b9beda199d36645c2b7d67c80488d7287442a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004600-n000004.json b/manifests/batches/oproofs/s00002-r00004600-n000004.json
index 83ba5a18b8b2625d99f11b154cd3b3376b646bfb..c4b1f67d18c802f65ab59b12d042443accf1b5b8 100644
--- a/manifests/batches/oproofs/s00002-r00004600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004600-n000004",
   "batch_fingerprint": "833fe6fade94ee7afce0bde604f17da2ec3f81448ae52901a8e274d7157dad6e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004600-n000004-0000-c19f0c2c62d228a9.parquet",
-      "sha256": "c19f0c2c62d228a9db84292de124607a95af9bf62e03fa4afb358cc4c35cda45",
-      "bytes": 118891,
-      "rows": 11,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004600-n000004-0000-0df1d478b3cf90b1.parquet",
-      "sha256": "0df1d478b3cf90b16279f309fdb0f9f163ed94577d28c2bbfc317ea89cc64988",
-      "bytes": 69662,
-      "rows": 2,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004601.lean\",\"eb0752fff502ff37a48a60edbe21f3ed9c23881f03273167b25574e15d6beab4\",0,\"lean_workbook_plus_12166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004602.lean\",\"c10c6153c2b23bf3f88f0a8194583facf1570c2154a54ed749b6636cd0d59321\",0,\"lean_workbook_plus_20536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004603.lean\",\"4521b0925b14575b88011491a25d402d71e7432566ef594492d25d92604b8076\",0,\"apples_remaining\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118891,
+      "path": "data/train/p37/oproofs-s00002-r00004600-n000004-0000-c19f0c2c62d228a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c19f0c2c62d228a9db84292de124607a95af9bf62e03fa4afb358cc4c35cda45"
+    },
+    {
+      "bytes": 69662,
+      "path": "data/internal_test/p37/oproofs-s00002-r00004600-n000004-0000-0df1d478b3cf90b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0df1d478b3cf90b16279f309fdb0f9f163ed94577d28c2bbfc317ea89cc64988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004604-n000004.json b/manifests/batches/oproofs/s00002-r00004604-n000004.json
index b071d299fd52b9f23b8158cb17ccae7da59634a4..569fb1f174c687214039cfa6a01f6c6ef6ecd810 100644
--- a/manifests/batches/oproofs/s00002-r00004604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004604-n000004",
   "batch_fingerprint": "213f95daee935e69f8e3c4ea6a551d36838e3c07fb378e01da552029a2294179",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004604-n000004-0000-b7839c907163a425.parquet",
-      "sha256": "b7839c907163a4252baac100f5ca0adf4f0711be3229677a9e09c10e3e98bad8",
-      "bytes": 117503,
-      "rows": 8,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004604-n000004-0000-05d981f781cefb75.parquet",
-      "sha256": "05d981f781cefb75352d2f08ace233f828aa646f57e0a2eecfa133bcfc544625",
-      "bytes": 172313,
-      "rows": 9,
-      "revision": "5cbb2be1c9c909b60635950712d3c6d32e10d088"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004605.lean\",\"1d3dcad67588bcda940f49328e1debb2b60b7164acd4bf3c0b2e812bf40c4fc4\",0,\"lean_workbook_57252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004606.lean\",\"73285018154ec6db3e24fc1080493f1708928cfac10cb132711ecf9d9ab25bf8\",0,\"lean_workbook_plus_44303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004607.lean\",\"758ff9a9e6eb96c291c9c9fa7e3d530b76a9b7ea3047bcdeb941f4b24d317a33\",0,\"lean_workbook_plus_81939\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117503,
+      "path": "data/train/p9c/oproofs-s00002-r00004604-n000004-0000-b7839c907163a425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b7839c907163a4252baac100f5ca0adf4f0711be3229677a9e09c10e3e98bad8"
+    },
+    {
+      "bytes": 172313,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00004604-n000004-0000-05d981f781cefb75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "05d981f781cefb75352d2f08ace233f828aa646f57e0a2eecfa133bcfc544625"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004608-n000004.json b/manifests/batches/oproofs/s00002-r00004608-n000004.json
index d41a97b79431ffad67fe924e62b7e5f78d5aa65a..07d6b800cabe34d40615848abbe41aacd24effe2 100644
--- a/manifests/batches/oproofs/s00002-r00004608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004608-n000004",
   "batch_fingerprint": "6b58013d02e1839b9454e3dfe108d32f5f632499b62be9c04a8b4f685369b212",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004608-n000004-0000-e77c7d421932864a.parquet",
-      "sha256": "e77c7d421932864a58ba4d288cf0389cbbc04b9a558aaad0765ab1c96dece3b2",
-      "bytes": 106491,
-      "rows": 12,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004608-n000004-0000-de896894b3c2f639.parquet",
-      "sha256": "de896894b3c2f63991a55d0af89c8ce8205ae06c1b1462c1f8d511913564f820",
-      "bytes": 154860,
-      "rows": 11,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004609.lean\",\"6162783e37b18e436ff0ae55149d6c873803b8d6c9116a1f9a63ee05ec7d84a7\",0,\"lean_workbook_plus_49377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004610.lean\",\"0bd1a62a36f28c7ea51e8785b4ea439951a6a08ca9c34acf19fc6afbb970118d\",0,\"lean_workbook_plus_38860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004611.lean\",\"514e1bf3a6afcc902ae31c6929bbacaecdbdf94b63476dd3dad2c94f5ba690e0\",0,\"lean_workbook_plus_21843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106491,
+      "path": "data/train/p09/oproofs-s00002-r00004608-n000004-0000-e77c7d421932864a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e77c7d421932864a58ba4d288cf0389cbbc04b9a558aaad0765ab1c96dece3b2"
+    },
+    {
+      "bytes": 154860,
+      "path": "data/internal_test/p09/oproofs-s00002-r00004608-n000004-0000-de896894b3c2f639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "de896894b3c2f63991a55d0af89c8ce8205ae06c1b1462c1f8d511913564f820"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004612-n000004.json b/manifests/batches/oproofs/s00002-r00004612-n000004.json
index 5c6bb2f59009c5158cdaa8f782ccd0a1dd9e9d36..e9518594a01e50bdc49d24ea9473633ca097943d 100644
--- a/manifests/batches/oproofs/s00002-r00004612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004612-n000004",
   "batch_fingerprint": "c75ebea5d23b41a38bc1f866b4701dd6335d8e77f9d96bf47325f5bc0670c413",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004612-n000004-0000-7afaf960d843fd0d.parquet",
-      "sha256": "7afaf960d843fd0da4ee3f5e598016364b7b2f8f164b852bb1c2e730b13badd2",
-      "bytes": 201596,
-      "rows": 20,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004612-n000004-0000-cf12f23ae1f62ef0.parquet",
-      "sha256": "cf12f23ae1f62ef08809ffdb0266bce38c4e20626dae694983ca375acfd21336",
-      "bytes": 55880,
-      "rows": 3,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4613",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004613.lean\",\"b2533dad0062d8d1ffab5fc728d6d70967e3e68d22e5c33b6c1497958f869528\",0,\"lean_workbook_plus_65048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004614.lean\",\"4539710685fe618bfe3d946d28f102e5c7506c547530b1ef2d026f1be2f581f1\",0,\"lean_workbook_plus_25351\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004615.lean\",\"f3bde7dd36889364d4ec7b678db531ea9ff6198525f10fa8271980b64d0f2339\",0,\"lean_workbook_5698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201596,
+      "path": "data/train/p1e/oproofs-s00002-r00004612-n000004-0000-7afaf960d843fd0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7afaf960d843fd0da4ee3f5e598016364b7b2f8f164b852bb1c2e730b13badd2"
+    },
+    {
+      "bytes": 55880,
+      "path": "data/dev/p1e/oproofs-s00002-r00004612-n000004-0000-cf12f23ae1f62ef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cf12f23ae1f62ef08809ffdb0266bce38c4e20626dae694983ca375acfd21336"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004616-n000004.json b/manifests/batches/oproofs/s00002-r00004616-n000004.json
index 37a5c703c85643b8cc55d8982a899b07f83a9ae8..33e88aebd3cf02ebf6a348da824df98021830d66 100644
--- a/manifests/batches/oproofs/s00002-r00004616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004616-n000004",
   "batch_fingerprint": "eae7e7d8426a0a2939403d27ce488e1545436fd33d6a0db9e2170032a49cb45f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004616-n000004-0000-35ad2822f61e6414.parquet",
-      "sha256": "35ad2822f61e6414a15e7b97bea9468fcea935d55b05061a436154cb817e0d11",
-      "bytes": 391516,
-      "rows": 18,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004616-n000004-0000-6c558464f3854320.parquet",
-      "sha256": "6c558464f38543202232b614d6c03cc87c86c5b2c839410adafbe9c1387aaa52",
-      "bytes": 70321,
-      "rows": 3,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004617.lean\",\"4b9c3fa6b25aa402af8c1a72f5aa48e4f924fcc31510f387a547c7c26c10a2e0\",0,\"lean_workbook_plus_51094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004618.lean\",\"c27f84f8931f267e8db1c4556c0a0525c09ab6e61abde7f2a3a2611054c72261\",0,\"lean_workbook_plus_38910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004619.lean\",\"a2eb388879e2bfb7b7b410ddb0c857904b9d354fa4ce87dc5013674caaccddab\",0,\"lean_workbook_34407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391516,
+      "path": "data/train/p22/oproofs-s00002-r00004616-n000004-0000-35ad2822f61e6414.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "35ad2822f61e6414a15e7b97bea9468fcea935d55b05061a436154cb817e0d11"
+    },
+    {
+      "bytes": 70321,
+      "path": "data/internal_test/p22/oproofs-s00002-r00004616-n000004-0000-6c558464f3854320.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6c558464f38543202232b614d6c03cc87c86c5b2c839410adafbe9c1387aaa52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004620-n000004.json b/manifests/batches/oproofs/s00002-r00004620-n000004.json
index c335f613c064e7bd8ae94ba1da40a1926a2f1438..bbc855449d96946919bfb511b74f76fa6f20599c 100644
--- a/manifests/batches/oproofs/s00002-r00004620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004620-n000004",
   "batch_fingerprint": "4457b0dcd05f5f4b2ebeb89871e7ea32fe1172ed8b4e970ef16f5914dbef4861",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004620-n000004-0000-e91c88022f6384fd.parquet",
-      "sha256": "e91c88022f6384fdff3983b807167a592491c2cc8d8410cbec34ce7c1bbf42db",
-      "bytes": 146999,
-      "rows": 12,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004621.lean\",\"b18ad404d5dd1ecbc40d909d8563c8af574d4e7e2a66aad4367d828f67f0aebc\",0,\"lean_workbook_37853\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004622.lean\",\"e691d11e0374ec2bed0b28e929b0274abccb04e46e011f9fb65cde4bec6eca82\",0,\"same_sign_criterion\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004623.lean\",\"81574394dde8ef67a28545ef00b38166cd279a8a1cb17bdc0c872decb5f4a09e\",0,\"lean_workbook_40933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146999,
+      "path": "data/train/pca/oproofs-s00002-r00004620-n000004-0000-e91c88022f6384fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e91c88022f6384fdff3983b807167a592491c2cc8d8410cbec34ce7c1bbf42db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004624-n000004.json b/manifests/batches/oproofs/s00002-r00004624-n000004.json
index e012c04b05b510638538c831388775ae18ea6e7c..19d395a22fade07be19776f40038fd018d79716f 100644
--- a/manifests/batches/oproofs/s00002-r00004624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004624-n000004",
   "batch_fingerprint": "58fc88af0c2da58d9a4ad5c1eab41efc573a833d1f710f9fc3c98eddf1d4097b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004624-n000004-0000-af4653cf903ae1cf.parquet",
-      "sha256": "af4653cf903ae1cffa25d7c2421f7f3b6b98d7480b589139936cc49dc92a3169",
-      "bytes": 263855,
-      "rows": 17,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004624-n000004-0000-fa80a4a5b16fb98e.parquet",
-      "sha256": "fa80a4a5b16fb98e02b2f62b5b0b9cab7033b122f302c7637989c0bf59937eda",
-      "bytes": 133525,
-      "rows": 8,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004625.lean\",\"1ac83115a9e061c3ee67c23e5e618f18938572125d7a2a277dd1c1e9fc77dd9d\",0,\"lean_workbook_plus_37586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004626.lean\",\"f0b89cf887195697c6054ad3567517867151b36998678a48f512a801ab97769b\",0,\"lean_workbook_plus_8710\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004627.lean\",\"c3ca0a351129f269bf7f5319c27c6d3acc7b9b3a967ada5f96e4a23fb1d4b79a\",0,\"lean_workbook_plus_65999\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263855,
+      "path": "data/train/p93/oproofs-s00002-r00004624-n000004-0000-af4653cf903ae1cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "af4653cf903ae1cffa25d7c2421f7f3b6b98d7480b589139936cc49dc92a3169"
+    },
+    {
+      "bytes": 133525,
+      "path": "data/dev/p93/oproofs-s00002-r00004624-n000004-0000-fa80a4a5b16fb98e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fa80a4a5b16fb98e02b2f62b5b0b9cab7033b122f302c7637989c0bf59937eda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004628-n000004.json b/manifests/batches/oproofs/s00002-r00004628-n000004.json
index 9604c32eb0d5080dc677d67867a7fd084c8a6319..c76e2394a6bb76b8beead0f9cba019f960aa902c 100644
--- a/manifests/batches/oproofs/s00002-r00004628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004628-n000004",
   "batch_fingerprint": "05e88fba7ec1d7bbfd292b3924e3066a69735ba9283fd1963ad3215c2e8fa6ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004628-n000004-0000-74ab2cda6f351e0d.parquet",
-      "sha256": "74ab2cda6f351e0d1290cd86295dd22e0f8f0f50650dcd949a2ec8c8002483bf",
-      "bytes": 189139,
-      "rows": 16,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004629.lean\",\"792a09ba62d21ec8be6b445149c354c0dce94cb374df77937a3adec249700e18\",0,\"lean_workbook_47401\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004630.lean\",\"f20dab2f28aa8a9a246c337652624a47f2b47720f009964e81b01fac3e94d826\",0,\"lean_workbook_plus_23318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004631.lean\",\"eaaffd1e56ba1c6450763528fa9dac1699ce0b856d32618bf3846f79d660dcbe\",0,\"lean_workbook_plus_38019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189139,
+      "path": "data/train/p7f/oproofs-s00002-r00004628-n000004-0000-74ab2cda6f351e0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "74ab2cda6f351e0d1290cd86295dd22e0f8f0f50650dcd949a2ec8c8002483bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004632-n000004.json b/manifests/batches/oproofs/s00002-r00004632-n000004.json
index 1fa8cf0240e636b3a8ea1ac1443dec3c3dade250..35985a99f75d4a13b19cde857e9f4f502bef0147 100644
--- a/manifests/batches/oproofs/s00002-r00004632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004632-n000004",
   "batch_fingerprint": "476a506367db6739664ab6ebb8a13df17476e17adddbd89e5d09364bca542e3f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004632-n000004-0000-b28728cb3d832acf.parquet",
-      "sha256": "b28728cb3d832acf3a84655364479fad057834f556e3660643ce75109b9561d6",
-      "bytes": 275212,
-      "rows": 14,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004633.lean\",\"af62d5db80a1f267f4fa16713fbfde2978dbc07d97b6d97c35e17093308f97a4\",0,\"lean_workbook_plus_20490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004634.lean\",\"f3e67f9237598c397325d171f98d72c9d576e3de05c969a8f0cc55abb3597859\",0,\"lean_workbook_plus_14733\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004635.lean\",\"dfbb0db5c0c789432babbe1a4a42b4a70a4c43a62ec2a4f198da0afcde250533\",0,\"lean_workbook_plus_38857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275212,
+      "path": "data/train/p19/oproofs-s00002-r00004632-n000004-0000-b28728cb3d832acf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b28728cb3d832acf3a84655364479fad057834f556e3660643ce75109b9561d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004636-n000004.json b/manifests/batches/oproofs/s00002-r00004636-n000004.json
index f6818c116ee0c74530ecbda5d0ff7807823e18c7..c19c1b49dd7760dad4def12a6af9ed2642752c7e 100644
--- a/manifests/batches/oproofs/s00002-r00004636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004636-n000004",
   "batch_fingerprint": "02ead98899ab2d4b72e0b30d42c0fc0290850bd9a82f92f50706374f25ca3ac7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004636-n000004-0000-2ed014a3409020a8.parquet",
-      "sha256": "2ed014a3409020a8a14509e8188c463f4ebab0a076743e2f4d25300cc07fb50c",
-      "bytes": 228336,
-      "rows": 12,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004636-n000004-0000-d6b29b3765b5ccf4.parquet",
-      "sha256": "d6b29b3765b5ccf4379f56dc774aa546408615bf869c9fe606324f338180d21b",
-      "bytes": 47441,
-      "rows": 7,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4637",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004637.lean\",\"7d264d101e7eac73c26866ea125a7f22c9c6c33e28b090c1eafc20fb8e10f10b\",0,\"lean_workbook_plus_47043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004638.lean\",\"7e3d5d3c6214646cc43f9d0785e0a59a8f021cd74e2ccd1f1f807610ee085ad6\",0,\"lean_workbook_plus_77440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004639.lean\",\"589d3dd5b7ae774a19f207702252152f1dd22364efc3411f77c29f1736548b37\",0,\"lean_workbook_plus_14650\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228336,
+      "path": "data/train/p5c/oproofs-s00002-r00004636-n000004-0000-2ed014a3409020a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2ed014a3409020a8a14509e8188c463f4ebab0a076743e2f4d25300cc07fb50c"
+    },
+    {
+      "bytes": 47441,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00004636-n000004-0000-d6b29b3765b5ccf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d6b29b3765b5ccf4379f56dc774aa546408615bf869c9fe606324f338180d21b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004640-n000004.json b/manifests/batches/oproofs/s00002-r00004640-n000004.json
index 4450088f5337bb4179a2ef80ecb2de96fdcffce4..f2afcc8e4d7ecc26b19806cc8e8b4f9809cfaff8 100644
--- a/manifests/batches/oproofs/s00002-r00004640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004640-n000004",
   "batch_fingerprint": "f18cde2d51b7dde112805c168439f99021ecbac0cb536cdcef6d9d86e9f80304",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004640-n000004-0000-70ab10c5e4790dc0.parquet",
-      "sha256": "70ab10c5e4790dc0d043eb659d3e1fcacb9fb3195f443f8781c4d17a0f10ed8f",
-      "bytes": 152271,
-      "rows": 14,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004641.lean\",\"4511056c2cf2b6bd834e3c8a644b1958e610de96a8663048b6fc6da7163805ea\",0,\"lean_workbook_plus_78477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004642.lean\",\"894730e06653c57df907b8f5bb92d6fbb7b940a50b3d162d30ba086f858a9829\",0,\"lean_workbook_plus_45022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004643.lean\",\"e664240e395115d2b199821f25bb2480b4b1eef1ea77d789d762558ccecb0efa\",0,\"lean_workbook_plus_57957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152271,
+      "path": "data/train/p79/oproofs-s00002-r00004640-n000004-0000-70ab10c5e4790dc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "70ab10c5e4790dc0d043eb659d3e1fcacb9fb3195f443f8781c4d17a0f10ed8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004644-n000004.json b/manifests/batches/oproofs/s00002-r00004644-n000004.json
index 8a3cb1ca08e3b066fa1b1eac23ed1d1773dd0db8..8cecb599f93b56eec56759bcea556eb2303b8f90 100644
--- a/manifests/batches/oproofs/s00002-r00004644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004644-n000004",
   "batch_fingerprint": "cdd1140a7d04c90a714980375e805a081501ff5302ab4519dcacb0ff5521ede7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004644-n000004-0000-baa2d9d95507d36b.parquet",
-      "sha256": "baa2d9d95507d36bf3b6e1b45481a29e8a3d618b2baaf7b9b13aae879d2b2cfe",
-      "bytes": 315158,
-      "rows": 13,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004644-n000004-0000-781d7b01ed164e69.parquet",
-      "sha256": "781d7b01ed164e698c0f97e6f29097c77f58b2af825221a26432a2f561101667",
-      "bytes": 136340,
-      "rows": 3,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004645.lean\",\"dcb294c6124d75e7ad3c6a2e32774edb1b540c45301b29200feb4844d5c877a2\",0,\"lean_workbook_plus_56564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004646.lean\",\"f0c9db8622ec779fe196ddcd8d83e4d68d9f87a486c312eb5de846d4db2a99a9\",0,\"lean_workbook_plus_36093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004647.lean\",\"d9920a5c3a7e1b0e0b251606005892091655ce02575e0839846f1cb370049989\",0,\"lean_workbook_plus_57199\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315158,
+      "path": "data/train/pbc/oproofs-s00002-r00004644-n000004-0000-baa2d9d95507d36b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "baa2d9d95507d36bf3b6e1b45481a29e8a3d618b2baaf7b9b13aae879d2b2cfe"
+    },
+    {
+      "bytes": 136340,
+      "path": "data/dev/pbc/oproofs-s00002-r00004644-n000004-0000-781d7b01ed164e69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "781d7b01ed164e698c0f97e6f29097c77f58b2af825221a26432a2f561101667"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004648-n000004.json b/manifests/batches/oproofs/s00002-r00004648-n000004.json
index 3a7cf8ca7bd27feeb4730a92e6731ca6da89d308..f18f07ba43e4a18cf93a87af73cc6195e0bf4ad9 100644
--- a/manifests/batches/oproofs/s00002-r00004648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004648-n000004",
   "batch_fingerprint": "25ee19a7a4d451f5756dd6cef2a4acfd1bde6cb7e5e0bd44393ef8c150d209cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004648-n000004-0000-71e8a4d504f5779d.parquet",
-      "sha256": "71e8a4d504f5779d9a89b375b1cb6502e57bb836d071afede76c21f14a1b7112",
-      "bytes": 159499,
-      "rows": 15,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004648-n000004-0000-158ecca7bb28da5b.parquet",
-      "sha256": "158ecca7bb28da5b58d7a9e9c2d516c993751bb3f40861af68d28547bb70b7d3",
-      "bytes": 87171,
-      "rows": 6,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004649.lean\",\"a751d6a8b19f8abc687d2c1c17a77e36951390a745b8dfe56640e635fac00a21\",0,\"lean_workbook_54951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004650.lean\",\"8ec20b9f0a3b040eae83773691effab11085775c4a9c230a1f3a8fe1710353b0\",0,\"equations_solutions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004651.lean\",\"6cb4069b10ef1fd050d117ddf9f0bd5168f474019d82a478fb17e60ae954f064\",0,\"lean_workbook_plus_11197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159499,
+      "path": "data/train/p8a/oproofs-s00002-r00004648-n000004-0000-71e8a4d504f5779d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "71e8a4d504f5779d9a89b375b1cb6502e57bb836d071afede76c21f14a1b7112"
+    },
+    {
+      "bytes": 87171,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00004648-n000004-0000-158ecca7bb28da5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "158ecca7bb28da5b58d7a9e9c2d516c993751bb3f40861af68d28547bb70b7d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004652-n000004.json b/manifests/batches/oproofs/s00002-r00004652-n000004.json
index 4c23e3be8ec9d75d58ed36a9c979c91ef1007a87..b3d9141fd4d7abfa64bf776481e009bb4ebbc761 100644
--- a/manifests/batches/oproofs/s00002-r00004652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004652-n000004",
   "batch_fingerprint": "203d903c934395337b76f725cc738f1e2a54f33614e131fd81e6243a41a0ddcd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004652-n000004-0000-f598fe98892c1394.parquet",
-      "sha256": "f598fe98892c13944821eb82dddf77e7980c31dbfd6ff6d7949db6571f78a744",
-      "bytes": 82985,
-      "rows": 6,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004652-n000004-0000-83439f5966f75405.parquet",
-      "sha256": "83439f5966f75405dbf77ee1b1af15778866271fe3d58d9d9b396e8e658f6ba7",
-      "bytes": 138556,
-      "rows": 9,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4653",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004653.lean\",\"5da15808db15b29cf89a7c6fc07e48c1c65086e0672c45851121babd69bcc769\",0,\"quadratic_roots_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004654.lean\",\"2d8835ea1c6c8470ba1846980e0553e4a2cb84566144e1c18bb779335b5cc37c\",0,\"lean_workbook_plus_57787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004655.lean\",\"7616977939ef2ebb83c7b14e43e42358e900dc580f6d5574ea7277986234caed\",0,\"lean_workbook_plus_46442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82985,
+      "path": "data/train/p1b/oproofs-s00002-r00004652-n000004-0000-f598fe98892c1394.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f598fe98892c13944821eb82dddf77e7980c31dbfd6ff6d7949db6571f78a744"
+    },
+    {
+      "bytes": 138556,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00004652-n000004-0000-83439f5966f75405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "83439f5966f75405dbf77ee1b1af15778866271fe3d58d9d9b396e8e658f6ba7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004656-n000004.json b/manifests/batches/oproofs/s00002-r00004656-n000004.json
index 13c8d261ca86808100612d9b904ef15b0176a689..bcd1b0972bd899e2ea7a70db3ee4a03fe5ca46ad 100644
--- a/manifests/batches/oproofs/s00002-r00004656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004656-n000004",
   "batch_fingerprint": "44a5ed7eb148e40ad3a89ae967e5994982e2714eb437f596d0fbf443532710ae",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004656-n000004-0000-8394a45fdb0d7059.parquet",
-      "sha256": "8394a45fdb0d7059ffec29565f410c6195289ad55025a8eac2c7c4bb6fd58897",
-      "bytes": 84919,
-      "rows": 8,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004656-n000004-0000-201c4f1e349b9f0e.parquet",
-      "sha256": "201c4f1e349b9f0eb9ec36592dc978d2850eb89d9f321e7672d8b44adfb06fa9",
-      "bytes": 44901,
-      "rows": 5,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4657",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004657.lean\",\"72e3ee23068eb69f2e9854a4810e9c55d662d110abe51a198f72864473b52169\",0,\"lean_workbook_plus_81538\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004658.lean\",\"8114ef53026514182b6ad03ca6d6e75f2971152599a36594888fac269da3abc7\",0,\"min_teachers_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004659.lean\",\"f0c528e82a5810a194817915095a92df718dfab82b025130a72158ad52a64949\",0,\"lean_workbook_plus_76132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84919,
+      "path": "data/train/pe5/oproofs-s00002-r00004656-n000004-0000-8394a45fdb0d7059.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8394a45fdb0d7059ffec29565f410c6195289ad55025a8eac2c7c4bb6fd58897"
+    },
+    {
+      "bytes": 44901,
+      "path": "data/internal_test/pe5/oproofs-s00002-r00004656-n000004-0000-201c4f1e349b9f0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "201c4f1e349b9f0eb9ec36592dc978d2850eb89d9f321e7672d8b44adfb06fa9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004660-n000004.json b/manifests/batches/oproofs/s00002-r00004660-n000004.json
index b2758222a04d2848569f916afbfd5a5ff482bf83..3191b67c7676ac2a36bc5812429c8242989adb51 100644
--- a/manifests/batches/oproofs/s00002-r00004660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004660-n000004",
   "batch_fingerprint": "0b3d8e82f98a0287ff4e06921ea23abb7b3892e0ee3af74767e438b4cde11976",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004660-n000004-0000-0bc35248232fa11e.parquet",
-      "sha256": "0bc35248232fa11e7f70cb44731baba7741779e8848e80da1dc9e91e0dd56dfe",
-      "bytes": 141707,
-      "rows": 19,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004660-n000004-0000-dc7216d4bdce3dff.parquet",
-      "sha256": "dc7216d4bdce3dffef1a96955b63a59d4ccb0d8249571a9a56bf179b60bad4f8",
-      "bytes": 34671,
-      "rows": 2,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004661.lean\",\"e90728fffc8352c1daafc423f43b06443e5549805f255fe3114a1f1010bc37e9\",0,\"school_boarders_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004662.lean\",\"ce43fd3f718e049a00bd8f0f5567afaa0c5444520ddfde9990ca5a0683aed616\",0,\"largest_prime_factor_of_expression\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004663.lean\",\"55dd84ad500ab869f7edb982daa45134655870a822e5502b8899fd892d613c1e\",0,\"lean_workbook_plus_75781\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141707,
+      "path": "data/train/pb0/oproofs-s00002-r00004660-n000004-0000-0bc35248232fa11e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0bc35248232fa11e7f70cb44731baba7741779e8848e80da1dc9e91e0dd56dfe"
+    },
+    {
+      "bytes": 34671,
+      "path": "data/internal_test/pb0/oproofs-s00002-r00004660-n000004-0000-dc7216d4bdce3dff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "dc7216d4bdce3dffef1a96955b63a59d4ccb0d8249571a9a56bf179b60bad4f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004664-n000004.json b/manifests/batches/oproofs/s00002-r00004664-n000004.json
index 9b6405ba8fdc9138a6f5942eef4f5c2906a62b41..86e7549516ef46a01b8d56de555208cf5c0f95d0 100644
--- a/manifests/batches/oproofs/s00002-r00004664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004664-n000004",
   "batch_fingerprint": "22a3fd4d0228c2557809646fc149ffbdd63e5f3381fb416fddfa7f3162c20b37",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004664-n000004-0000-e8e305a883084eaa.parquet",
-      "sha256": "e8e305a883084eaaa0be33405260727885ebb0d34420431e7836aee5c870555d",
-      "bytes": 77802,
-      "rows": 11,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004664-n000004-0000-6e8b2882b5eadfe8.parquet",
-      "sha256": "6e8b2882b5eadfe8cfbc66961cc736b89bac3ed809123879039c182556d1df39",
-      "bytes": 81336,
-      "rows": 10,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004665.lean\",\"8fa735534652a893dde88a605426b2c4d8ab20c598e6716a4c0f908d3b459b48\",0,\"candy_game_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004666.lean\",\"e85489672eec9019a0320c1b66d2754876b63753603e451f1115ee6dc74c4516\",0,\"lean_workbook_plus_27619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004667.lean\",\"43aec21b138918fd099f1dd29d45fc1ef518f39d8bcd76b6ba3a5c815d1ab9ff\",0,\"lean_workbook_4514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77802,
+      "path": "data/train/pb5/oproofs-s00002-r00004664-n000004-0000-e8e305a883084eaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e8e305a883084eaaa0be33405260727885ebb0d34420431e7836aee5c870555d"
+    },
+    {
+      "bytes": 81336,
+      "path": "data/internal_test/pb5/oproofs-s00002-r00004664-n000004-0000-6e8b2882b5eadfe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6e8b2882b5eadfe8cfbc66961cc736b89bac3ed809123879039c182556d1df39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004668-n000004.json b/manifests/batches/oproofs/s00002-r00004668-n000004.json
index f0f1fc3cf440ed4404e29766c61b8cb78f173e11..18a53dc09f5d69f9cba801cdd4f515996fcba910 100644
--- a/manifests/batches/oproofs/s00002-r00004668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004668-n000004",
   "batch_fingerprint": "641e032ddea62d179649aa904dda453c1b9b24e63c6cabc6b47431dc8ed63d4a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004668-n000004-0000-f7022806b3813b34.parquet",
-      "sha256": "f7022806b3813b34e718ca28440e3b9f1374559390971299150000e1e03744b5",
-      "bytes": 88564,
-      "rows": 8,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004668-n000004-0000-0078233862f3e520.parquet",
-      "sha256": "0078233862f3e5202fd4fdc9f2ad6e593620cd7ff9f8fcde4ba8b5cde0b34985",
-      "bytes": 188978,
-      "rows": 11,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004669.lean\",\"64f4a60618a0242a2cb7766efe52359288092308b281a25b28ea165bda27fb0f\",0,\"lean_workbook_plus_27433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004670.lean\",\"47ecd8dd0838160077140587a13f8e1f6a1118bdb97a6d69a6a0f0e7588f5998\",0,\"ratio_less_than_two\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004671.lean\",\"5957b35bb34e1612cc7da40b431687cb3087078acb365753ca17c6b942a6b3c2\",0,\"periodic_odd_function_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88564,
+      "path": "data/train/pc9/oproofs-s00002-r00004668-n000004-0000-f7022806b3813b34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f7022806b3813b34e718ca28440e3b9f1374559390971299150000e1e03744b5"
+    },
+    {
+      "bytes": 188978,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00004668-n000004-0000-0078233862f3e520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0078233862f3e5202fd4fdc9f2ad6e593620cd7ff9f8fcde4ba8b5cde0b34985"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004672-n000004.json b/manifests/batches/oproofs/s00002-r00004672-n000004.json
index 99a83bb85c674549aefaec0362a3dc22d9658379..129b2a4c3b9c62b6304fb8de94a442db714567ba 100644
--- a/manifests/batches/oproofs/s00002-r00004672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004672-n000004",
   "batch_fingerprint": "79d041fe06665aea232734fbdb1ce22799e326d48390fb706b9663c3091fd443",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004672-n000004-0000-c9ae663094d8359f.parquet",
-      "sha256": "c9ae663094d8359f58b5277f2e2692c8f450deff9e6b1402dab7c22c44b30d4e",
-      "bytes": 350593,
-      "rows": 30,
-      "revision": "32fd14bdbe90d663bdef9235eb6c6e8eea709edc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004673.lean\",\"9435d674e9817810ac3fedca133fd1f618a4ac504ec86378ba533f43ae831e03\",0,\"lean_workbook_plus_34702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004674.lean\",\"baa514e8ac0a97160c496db04fa63718448c040b7f861d4a6cc6359880907fb5\",0,\"lean_workbook_plus_18677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004675.lean\",\"9fd7a284b8e8c070bc2397dde6bd3941479e577cd957b97859b97d9875043f05\",0,\"lean_workbook_plus_57791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350593,
+      "path": "data/train/pfa/oproofs-s00002-r00004672-n000004-0000-c9ae663094d8359f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "c9ae663094d8359f58b5277f2e2692c8f450deff9e6b1402dab7c22c44b30d4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004676-n000004.json b/manifests/batches/oproofs/s00002-r00004676-n000004.json
index 401b59a382499f0e09dcae38b219a0d4f6955298..e3e51c88a80ff733c3c1c97a6626b5eeb8d1e0ee 100644
--- a/manifests/batches/oproofs/s00002-r00004676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004676-n000004",
   "batch_fingerprint": "a42af8b83a4b657d1fa81d3fb51ceeac73b853d8f8eb8b4bf39ee5b5a5a2e393",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004676-n000004-0000-90a81d025abbe4b7.parquet",
-      "sha256": "90a81d025abbe4b76b01d519da3666009de99d1f55402587d8bfe9a90c03ce34",
-      "bytes": 232366,
-      "rows": 10,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004676-n000004-0000-24db85297fec7d1f.parquet",
-      "sha256": "24db85297fec7d1f7db4037b1b4dd6a900958894ddf24897e94fc050ed483454",
-      "bytes": 110976,
-      "rows": 4,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4677",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004677.lean\",\"e385b9330a2be215b5843381cfc9d8c012e5717d3953aa5d33879386a3f67fc2\",0,\"lean_workbook_plus_77005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004678.lean\",\"8b0e2139181368bdc66fdd70a2da38b83e5d1b6ccf7a9c04ca0344bd365acc79\",0,\"lean_workbook_plus_46702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004679.lean\",\"5cd4e3fe73a69ef44c63d1631b9525c0cd01a5338a5bceedabe9a15cc2d81620\",0,\"lean_workbook_plus_27868\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232366,
+      "path": "data/train/pd1/oproofs-s00002-r00004676-n000004-0000-90a81d025abbe4b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "90a81d025abbe4b76b01d519da3666009de99d1f55402587d8bfe9a90c03ce34"
+    },
+    {
+      "bytes": 110976,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00004676-n000004-0000-24db85297fec7d1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "24db85297fec7d1f7db4037b1b4dd6a900958894ddf24897e94fc050ed483454"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004680-n000004.json b/manifests/batches/oproofs/s00002-r00004680-n000004.json
index 4688bb91cb184b79ff97a6d75b2340749d202dca..a94fb9c40aac00b9eb0f050a237f32a8e2714408 100644
--- a/manifests/batches/oproofs/s00002-r00004680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004680-n000004",
   "batch_fingerprint": "ab8759746fcad14cb29bdfd43ef1873f0ce0340bc67e8ce5a972c603f31d88df",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004680-n000004-0000-323ba49000de8c95.parquet",
-      "sha256": "323ba49000de8c95d842e4b599e4e6fbda18d9af60298666afca0237c8e3b859",
-      "bytes": 102218,
-      "rows": 13,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004680-n000004-0000-813ef102851bff40.parquet",
-      "sha256": "813ef102851bff409a98f4130c3b33b5d6af832fbfe4ae7d6943d9c773c11923",
-      "bytes": 79542,
-      "rows": 5,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004681.lean\",\"97f0ace204b647f64dc45a154e455ca0105facfb96458ace8306b5ae07da71d2\",0,\"lean_workbook_plus_68254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004682.lean\",\"62252b9f067541025da1135212cac4407e879c8b6cb25eebe276d836b6b500e3\",0,\"lean_workbook_plus_19087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004683.lean\",\"20268c9c519f7b5ad0fc875086a0214239354670e76143190aeb9e3017194bc5\",0,\"lean_workbook_plus_39890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102218,
+      "path": "data/train/p9f/oproofs-s00002-r00004680-n000004-0000-323ba49000de8c95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "323ba49000de8c95d842e4b599e4e6fbda18d9af60298666afca0237c8e3b859"
+    },
+    {
+      "bytes": 79542,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00004680-n000004-0000-813ef102851bff40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "813ef102851bff409a98f4130c3b33b5d6af832fbfe4ae7d6943d9c773c11923"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004684-n000004.json b/manifests/batches/oproofs/s00002-r00004684-n000004.json
index 6bca07f9fa16a804e08dc144cbc9c285c7f4a3b8..e1732ec5bef9d014fdb62af8b8b4e58c21d7e39e 100644
--- a/manifests/batches/oproofs/s00002-r00004684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004684-n000004",
   "batch_fingerprint": "06b77c7f0994ed13db3508fed5f57242c0fb46b9972e1b103ee9b53621cbe132",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004684-n000004-0000-313c32ad3e39a698.parquet",
-      "sha256": "313c32ad3e39a69809266a3e43c912ae6344a29075ee82e033fea3446c7dd06e",
-      "bytes": 206916,
-      "rows": 23,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004685.lean\",\"0d3cc94f19890c4f9ea2cdcf17caad14f00d9586a0e90b14a8dc621b2dbb2739\",0,\"lean_workbook_plus_80850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004686.lean\",\"41d633e0475ddbd9819ef0d357c8aca7f6a744c1064f598474c7f2196506fbd9\",0,\"lean_workbook_plus_36884\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004687.lean\",\"2548328547af79f625dbbbb79dad7cf68128ea34abd3b852819ca463d7ab581c\",0,\"factorial_gcd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206916,
+      "path": "data/train/pcd/oproofs-s00002-r00004684-n000004-0000-313c32ad3e39a698.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "313c32ad3e39a69809266a3e43c912ae6344a29075ee82e033fea3446c7dd06e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004688-n000004.json b/manifests/batches/oproofs/s00002-r00004688-n000004.json
index 06ac60f0f102ab53fe93bf554590a23d066d65d5..b4c41de5595002aa07366a5ff0ef0bf0d24ec086 100644
--- a/manifests/batches/oproofs/s00002-r00004688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004688-n000004",
   "batch_fingerprint": "f409dfb8f982bc959382a3677de8b1d17a11ad29fe28e30b82f87dab0fdc7384",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004688-n000004-0000-bfef608b2fe79764.parquet",
-      "sha256": "bfef608b2fe79764544fbaa6ddde9361d2a82ee5090cb92d62281a43b79ce442",
-      "bytes": 423154,
-      "rows": 15,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004689.lean\",\"f13564094d137ac5fb15f7068a487ce0b828cb88fa5061800983d3bfa164252a\",0,\"lean_workbook_plus_73253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004690.lean\",\"0ccded8b74d1c31c40eeaac58070749d04b1578ffd46c45241f3f558e87a45ab\",0,\"quadratic_maximum_point_characterization\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004691.lean\",\"4f3cf947300dc0faf82b08f3e0c781808c48427a2e75da7c2ed10ee046f4e572\",0,\"lean_workbook_38185\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 423154,
+      "path": "data/train/p27/oproofs-s00002-r00004688-n000004-0000-bfef608b2fe79764.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "bfef608b2fe79764544fbaa6ddde9361d2a82ee5090cb92d62281a43b79ce442"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004692-n000004.json b/manifests/batches/oproofs/s00002-r00004692-n000004.json
index 8d5da9995ddc701de33cb4f2b0a1d05d1071f234..8c369f288ddfa77baa13014b0453bd7a56850a41 100644
--- a/manifests/batches/oproofs/s00002-r00004692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004692-n000004",
   "batch_fingerprint": "33ab37e8c530ce9d84881452ef882186e95cf5953a48b090f2c9f45fc33ee51d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004692-n000004-0000-720169cbadb545e1.parquet",
-      "sha256": "720169cbadb545e136d234abef5e0f6c3ec4250f3c30d36f09ae429493fb14cf",
-      "bytes": 170803,
-      "rows": 18,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004693.lean\",\"aa4949a2703493d04622d1b286a599c797ef5ba31da8c40e7b05c83cd620538b\",0,\"lean_workbook_42411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004694.lean\",\"b7c7a17ceb243aba22d1362c2b9275e7ec6066cde4632fd6e3d9f8c2169c366f\",0,\"lean_workbook_25957\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004695.lean\",\"d7e5dd0de9304a867e829fd9a5324e01658197996181bfd94d198cd7ed563be2\",0,\"lean_workbook_plus_47836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170803,
+      "path": "data/train/p3a/oproofs-s00002-r00004692-n000004-0000-720169cbadb545e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "720169cbadb545e136d234abef5e0f6c3ec4250f3c30d36f09ae429493fb14cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004696-n000004.json b/manifests/batches/oproofs/s00002-r00004696-n000004.json
index daa62e6f5e32efbe3f56a49aa82b782e7126fa30..fded4c30e03e4f0fb0cc54b3a02b80ad359ac83b 100644
--- a/manifests/batches/oproofs/s00002-r00004696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004696-n000004",
   "batch_fingerprint": "db22deec89221f3a5024184d040c8eaf594bfaeb6b26c01ddf2819e70bfa0404",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004696-n000004-0000-ffa9a1445cada553.parquet",
-      "sha256": "ffa9a1445cada553f95c62156c75369b46b83beeb24e75d3f37934bb75fafd08",
-      "bytes": 416110,
-      "rows": 14,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004696-n000004-0000-d1b7eeaaf840ec5a.parquet",
-      "sha256": "d1b7eeaaf840ec5ac994dace10677186d248c05a5e552f86e32942fab1e2211c",
-      "bytes": 148873,
-      "rows": 3,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004697.lean\",\"0643033a8bc320d36399071fdb0b829140ab149fa094e542a994e31854f70b76\",0,\"lean_workbook_plus_21035\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004698.lean\",\"fb1c0cc8d3caa2118ac9668e6bf203f59a4cf9b7cf2b296b0e5e709429774983\",0,\"lean_workbook_plus_21688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004699.lean\",\"f834915af456b42e45f50eb199497c093bb6197bf8842866e2ee6eb520dbf777\",0,\"lean_workbook_plus_19062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416110,
+      "path": "data/train/p96/oproofs-s00002-r00004696-n000004-0000-ffa9a1445cada553.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ffa9a1445cada553f95c62156c75369b46b83beeb24e75d3f37934bb75fafd08"
+    },
+    {
+      "bytes": 148873,
+      "path": "data/dev/p96/oproofs-s00002-r00004696-n000004-0000-d1b7eeaaf840ec5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d1b7eeaaf840ec5ac994dace10677186d248c05a5e552f86e32942fab1e2211c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004700-n000004.json b/manifests/batches/oproofs/s00002-r00004700-n000004.json
index e26d574adc5f532f9d6cdfbf8fd70a43f5337307..1efde86b94c579feb0229592b17118fe0911428a 100644
--- a/manifests/batches/oproofs/s00002-r00004700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004700-n000004",
   "batch_fingerprint": "a5845ea649fba0f237d8625a29e3315839ca6987d3b6e149d3077b780765139e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004700-n000004-0000-c81a53405d1ddbda.parquet",
-      "sha256": "c81a53405d1ddbda9f8cd42e3bb46057d37a284e2d97f23db62f72b01f75f1e3",
-      "bytes": 196958,
-      "rows": 7,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004700-n000004-0000-1335c0b95963170d.parquet",
-      "sha256": "1335c0b95963170d0bf1366c7d188eccb3c792deca279c859375db40beece467",
-      "bytes": 67240,
-      "rows": 6,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004701.lean\",\"394da2a2721b4221a1046f8db83fc40717908285d5045298a5e9219c9d036260\",0,\"lean_workbook_42462\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004702.lean\",\"036834a1b74c7f8659da143626cd8824be7ca3a71ae1dd4a5c2119e65872fd68\",0,\"lean_workbook_plus_51956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004703.lean\",\"1f290c48d1a18f1a32f9ba57085fc8e6666246b5c0792d766dd36c04394dca42\",0,\"lean_workbook_plus_15038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196958,
+      "path": "data/train/p9e/oproofs-s00002-r00004700-n000004-0000-c81a53405d1ddbda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c81a53405d1ddbda9f8cd42e3bb46057d37a284e2d97f23db62f72b01f75f1e3"
+    },
+    {
+      "bytes": 67240,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00004700-n000004-0000-1335c0b95963170d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1335c0b95963170d0bf1366c7d188eccb3c792deca279c859375db40beece467"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004704-n000004.json b/manifests/batches/oproofs/s00002-r00004704-n000004.json
index fd88a7c9b559d5f1b73b87bf66111ea075f04a0f..65cf04926aa886fa27e3c3a138d6a7f2b37c8e83 100644
--- a/manifests/batches/oproofs/s00002-r00004704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004704-n000004",
   "batch_fingerprint": "8817ea733d164fd6dafe5880658bcd867fcc03cb92f031d8001716c47965c019",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004704-n000004-0000-ab0fa3a410c7b9c8.parquet",
-      "sha256": "ab0fa3a410c7b9c82a5adaf2ae077bf7d3943556cd9569d9e2df13864b7bd008",
-      "bytes": 377139,
-      "rows": 27,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004705.lean\",\"369e1dff963c974af7e13ff44e189762eae867fee622f77e361d9b5ed9907029\",0,\"lean_workbook_37630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004706.lean\",\"40f144b9bf60d4c24d74fddb24296862962e556f87247197c1ac695725064842\",0,\"lean_workbook_plus_31395\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004707.lean\",\"c0a161481eb6c6c9065660a630f0df34517c4927503db393a0be3954ee699bd8\",0,\"conjugate_imag_part\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 377139,
+      "path": "data/train/pb2/oproofs-s00002-r00004704-n000004-0000-ab0fa3a410c7b9c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ab0fa3a410c7b9c82a5adaf2ae077bf7d3943556cd9569d9e2df13864b7bd008"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004708-n000004.json b/manifests/batches/oproofs/s00002-r00004708-n000004.json
index 76eb16128eae044fc9549de913bd784b0662b74f..92e75e05a533304428594d2ded3feb12587a6051 100644
--- a/manifests/batches/oproofs/s00002-r00004708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004708-n000004",
   "batch_fingerprint": "c0749e73d5a7b9bbb848ddcf37d7cdf251b52ed5e0c6109b48156a2aa9f3a2b7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004708-n000004-0000-4af17b320321f72c.parquet",
-      "sha256": "4af17b320321f72ce62d2a9f279c0d4ec32fa289418316286dd38773c79c9240",
-      "bytes": 439726,
-      "rows": 25,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004709.lean\",\"760f1b051f18b6f1d2e9ca92f513e49d5daedf6113175cd3496a2e690ead2118\",0,\"lean_workbook_33815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004710.lean\",\"31a3a1aeebd7abea8a5cfc1a6d58170489d84a32045e28182fbb6312a04970bd\",0,\"sum_mod_seven_to_125\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004711.lean\",\"cc5017ea7bbe401d08473e7c7be62e6c84ba26c5f235adf514244d98dc12fd0f\",0,\"lean_workbook_plus_65674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 439726,
+      "path": "data/train/pbe/oproofs-s00002-r00004708-n000004-0000-4af17b320321f72c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "4af17b320321f72ce62d2a9f279c0d4ec32fa289418316286dd38773c79c9240"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004712-n000004.json b/manifests/batches/oproofs/s00002-r00004712-n000004.json
index 982187efbc6a73339e1c3fb1ba55ec8ba304ca85..011ba906bd90fca6f843c96d3879e63125d2fb6e 100644
--- a/manifests/batches/oproofs/s00002-r00004712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004712-n000004",
   "batch_fingerprint": "9a7ff92caf7766ff52e289cc85819dc08b8a8be0a52997a72a78c4ffaac3a1f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004712-n000004-0000-809cc878e327a7d7.parquet",
-      "sha256": "809cc878e327a7d7c2110c3c7580f9633c0b0bdb4ff4e034eb1d0a7787b9a8ee",
-      "bytes": 471263,
-      "rows": 13,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004712-n000004-0000-f57dec5b887141b4.parquet",
-      "sha256": "f57dec5b887141b4604f98ad0e165ea12989ea24bec0af559a2e42e8f7f2dfff",
-      "bytes": 90084,
-      "rows": 8,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4713",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004713.lean\",\"d5d3e91b0d48127a60f65aa84b859403d219d331ed87d990e2524636f1334085\",0,\"lean_workbook_plus_15585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004714.lean\",\"88ea1c7710c8ff380eaaed71b30b626b152aeae2bfe5a5b7e3ecbfe7665e1e85\",0,\"lean_workbook_plus_72313\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004715.lean\",\"d890d2a143ef5355eec8e1a6b73536cb4df6abf2a544e5a9ca2b251fb0fb2598\",0,\"lean_workbook_plus_56898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471263,
+      "path": "data/train/pd4/oproofs-s00002-r00004712-n000004-0000-809cc878e327a7d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "809cc878e327a7d7c2110c3c7580f9633c0b0bdb4ff4e034eb1d0a7787b9a8ee"
+    },
+    {
+      "bytes": 90084,
+      "path": "data/internal_test/pd4/oproofs-s00002-r00004712-n000004-0000-f57dec5b887141b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "f57dec5b887141b4604f98ad0e165ea12989ea24bec0af559a2e42e8f7f2dfff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004716-n000004.json b/manifests/batches/oproofs/s00002-r00004716-n000004.json
index 203c8ea370f57ec33860e538c0b8c499fde392f6..17d7299c60eaed99d5a9120a24bb55230bba73cd 100644
--- a/manifests/batches/oproofs/s00002-r00004716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004716-n000004",
   "batch_fingerprint": "8059a7d945404635b42073e0e1004a60e3410927a43a8c78b1189e204c86c289",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004716-n000004-0000-ea1a4b6db2a11661.parquet",
-      "sha256": "ea1a4b6db2a1166111c8d7574eed8969e9dea2363dfa5da81d6b61979d295106",
-      "bytes": 101303,
-      "rows": 11,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004716-n000004-0000-fac34a4166ebe791.parquet",
-      "sha256": "fac34a4166ebe791d9c52bb8d1cdb009331c10726d0d5c6b7c4c4730583c71c9",
-      "bytes": 92305,
-      "rows": 5,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004717.lean\",\"c370b291d0b89df1c977093855055aa6ddf0ed83bc7ffc74f97263895616a1cb\",0,\"lean_workbook_plus_70952\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004718.lean\",\"e3b642751f3e7f24ef4ac9915cebf50a72088cee40eca453dac84ffeeca0b9db\",0,\"lean_workbook_plus_25600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004719.lean\",\"19be884bf0a42cca929909f723797835bc64ec7ceafea6d3a3af71b0bbb9c12f\",0,\"lean_workbook_plus_11050\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101303,
+      "path": "data/train/p7e/oproofs-s00002-r00004716-n000004-0000-ea1a4b6db2a11661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ea1a4b6db2a1166111c8d7574eed8969e9dea2363dfa5da81d6b61979d295106"
+    },
+    {
+      "bytes": 92305,
+      "path": "data/internal_test/p7e/oproofs-s00002-r00004716-n000004-0000-fac34a4166ebe791.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fac34a4166ebe791d9c52bb8d1cdb009331c10726d0d5c6b7c4c4730583c71c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004720-n000004.json b/manifests/batches/oproofs/s00002-r00004720-n000004.json
index f18e3aff94930bd89440f9b3c00bce93d38b5898..ea8ec0238a6169934e55793a491bd4b22b663a8e 100644
--- a/manifests/batches/oproofs/s00002-r00004720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004720-n000004",
   "batch_fingerprint": "bf6852905d5635f2f53e8b919ec50ce05cf72c9488ac53bfc4628fa71c24cf52",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004720-n000004-0000-d255e43c0c428a58.parquet",
-      "sha256": "d255e43c0c428a58bf1d2f29277f34d071e0e913d91c771d5505830466d0e373",
-      "bytes": 179694,
-      "rows": 11,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004720-n000004-0000-0b637a7c773f1995.parquet",
-      "sha256": "0b637a7c773f1995e66bb60131a8faf23c5d4dca55357c2b03750d732fff395c",
-      "bytes": 85979,
-      "rows": 5,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004721.lean\",\"4c80d861063db0ab581da456f3486e7df6c69d1fe07e63b3500a4e49eaf7aea1\",0,\"lean_workbook_plus_49775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004722.lean\",\"564e4eda87a903a8e9599588a687737b2da22d99a324ff3b8bcd2a961c14986d\",0,\"lean_workbook_plus_7702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004723.lean\",\"c104f9b18fe2b1e2354372c430527f3638b8f5baf1fc2a4623402d7a88592aae\",0,\"lean_workbook_plus_58601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179694,
+      "path": "data/train/p53/oproofs-s00002-r00004720-n000004-0000-d255e43c0c428a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d255e43c0c428a58bf1d2f29277f34d071e0e913d91c771d5505830466d0e373"
+    },
+    {
+      "bytes": 85979,
+      "path": "data/internal_test/p53/oproofs-s00002-r00004720-n000004-0000-0b637a7c773f1995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0b637a7c773f1995e66bb60131a8faf23c5d4dca55357c2b03750d732fff395c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004724-n000004.json b/manifests/batches/oproofs/s00002-r00004724-n000004.json
index a0e9c69a2f14180bbc6f432399d1bc3a0eccebc5..230d5cdc361d68b83140849d95377d891f439db3 100644
--- a/manifests/batches/oproofs/s00002-r00004724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004724-n000004",
   "batch_fingerprint": "902ea636d92204c4d33745684b98122ba9eefc6c1e8c848dbadacbd54832ee64",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004724-n000004-0000-29b67ebad9ef1c3f.parquet",
-      "sha256": "29b67ebad9ef1c3f18071cd81f78733e30d69823cb424c31d499517ad5fa6fc7",
-      "bytes": 418520,
-      "rows": 17,
-      "revision": "32fd14bdbe90d663bdef9235eb6c6e8eea709edc"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004724-n000004-0000-2942a4adb5448e1f.parquet",
-      "sha256": "2942a4adb5448e1fe6089fe2ef5217e8c21fd9974c7ed5b97ef975288d75f7f5",
-      "bytes": 224304,
-      "rows": 11,
-      "revision": "32fd14bdbe90d663bdef9235eb6c6e8eea709edc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004725.lean\",\"21318e86624384051f41ccb300c1707f0a136be0c53e1e471c77740f750f5a05\",0,\"lean_workbook_20486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004726.lean\",\"9e2ab277ab066b99619a940e825fe12adeb4dfe71681cd8494b59436eeab3fdb\",0,\"lean_workbook_42209\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004727.lean\",\"d899656ecf3fe059f9515586ccce4636e60c277b3dd14383d9119d8b2d80763c\",0,\"lean_workbook_45466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 418520,
+      "path": "data/train/p62/oproofs-s00002-r00004724-n000004-0000-29b67ebad9ef1c3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "29b67ebad9ef1c3f18071cd81f78733e30d69823cb424c31d499517ad5fa6fc7"
+    },
+    {
+      "bytes": 224304,
+      "path": "data/internal_test/p62/oproofs-s00002-r00004724-n000004-0000-2942a4adb5448e1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2942a4adb5448e1fe6089fe2ef5217e8c21fd9974c7ed5b97ef975288d75f7f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004728-n000004.json b/manifests/batches/oproofs/s00002-r00004728-n000004.json
index eee1c2ccbc2bd260012b13f27cdc746c9d4698ca..dd5ea677c844f4cb86ee4f44fb1beb81c3e37928 100644
--- a/manifests/batches/oproofs/s00002-r00004728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004728-n000004",
   "batch_fingerprint": "2a457e2cf97f1271a6191e2aa523a63b271e98d719192984fa8ccab65ff82bd1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004728-n000004-0000-35ec378d0581f480.parquet",
-      "sha256": "35ec378d0581f480a53d69a1da504c3e06ec7c28e40464d82c3412efc76c5315",
-      "bytes": 519382,
-      "rows": 20,
-      "revision": "32fd14bdbe90d663bdef9235eb6c6e8eea709edc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004729.lean\",\"245f22cbc483b628e9681df21f5f4f2b47f7a8b9270730d6fc3c7d6b4604415b\",0,\"lean_workbook_plus_62171\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004730.lean\",\"b325ad4fd5e205ed4c710d2487c46f8464e64a0b5a5b571d5f9b90976c97ee45\",0,\"lean_workbook_plus_17350\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004731.lean\",\"e57100b11ae8b00a8fa826242c229aeaca81a5135b45d734cffe90bc43e8a432\",0,\"lean_workbook_plus_13687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519382,
+      "path": "data/train/p5a/oproofs-s00002-r00004728-n000004-0000-35ec378d0581f480.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "35ec378d0581f480a53d69a1da504c3e06ec7c28e40464d82c3412efc76c5315"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004732-n000004.json b/manifests/batches/oproofs/s00002-r00004732-n000004.json
index 5e1b1bad0801983bdf5e9e5d47876117c0aaf613..fc953182836d19d0ba6dd2102c6cb683419cd272 100644
--- a/manifests/batches/oproofs/s00002-r00004732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004732-n000004",
   "batch_fingerprint": "eda4a49efe155fdbedf87b81de704d470e9560ff2303ba8770d65d703d865e7d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004732-n000004-0000-e6e2ed4d01478e5f.parquet",
-      "sha256": "e6e2ed4d01478e5f9cb38087834aa29df2d315b4a2ee74b6ba1577c7a1abeb24",
-      "bytes": 311132,
-      "rows": 14,
-      "revision": "a62fc53fc1fd6b49a47c692fa589bdfc2673f4f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004733.lean\",\"732a2a4a7dc6101212d872f67153fc2a544cc960c5a4f16c38ebbc4eb2092c91\",0,\"lean_workbook_plus_19894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004734.lean\",\"88a69409edee3ba42d413dce0fb13f41afc19c37059bf5d66def11da58c82c18\",0,\"lean_workbook_plus_56375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004735.lean\",\"0081f6e732db1419c220024acae98622202bb7876e93cc00c72ad9ce4e098796\",0,\"lean_workbook_plus_43746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311132,
+      "path": "data/train/p65/oproofs-s00002-r00004732-n000004-0000-e6e2ed4d01478e5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e6e2ed4d01478e5f9cb38087834aa29df2d315b4a2ee74b6ba1577c7a1abeb24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004736-n000004.json b/manifests/batches/oproofs/s00002-r00004736-n000004.json
index c089b0c23fadcc6a160c65e996421d492e593024..cb233ed257b267d59abb62f0a957598cdf240d0b 100644
--- a/manifests/batches/oproofs/s00002-r00004736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004736-n000004",
   "batch_fingerprint": "32a60bc7fe2b75c6e8f9c6ca2c4f1a0b69755f9abbeef374a35630f1da722838",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004736-n000004-0000-36147e4d1a1eef47.parquet",
-      "sha256": "36147e4d1a1eef47d791961f338f8606d06a28d0d1e531487b42656731dc9571",
-      "bytes": 417252,
-      "rows": 16,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004736-n000004-0000-ececfa6fbbf3e344.parquet",
-      "sha256": "ececfa6fbbf3e3440afb0bb468bf4ac0a24f9e3062e1e8f6ca8b9911a4d2f4ce",
-      "bytes": 61813,
-      "rows": 5,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004737.lean\",\"7685e3ddf2ea341fef408f87993bb8b017185f0fb32c3238ff09b01443401045\",0,\"lean_workbook_28681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004738.lean\",\"92de96929c3e32cb868c26845dff32e18372bbb0ec477560708f7e3a6be16f73\",0,\"lean_workbook_plus_28921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004739.lean\",\"0a59f21d50eee4340ada29273a2edb624e105d53bd78e2dc5b78306cac7c5627\",0,\"lean_workbook_plus_15987\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417252,
+      "path": "data/train/pa2/oproofs-s00002-r00004736-n000004-0000-36147e4d1a1eef47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "36147e4d1a1eef47d791961f338f8606d06a28d0d1e531487b42656731dc9571"
+    },
+    {
+      "bytes": 61813,
+      "path": "data/internal_test/pa2/oproofs-s00002-r00004736-n000004-0000-ececfa6fbbf3e344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ececfa6fbbf3e3440afb0bb468bf4ac0a24f9e3062e1e8f6ca8b9911a4d2f4ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004740-n000004.json b/manifests/batches/oproofs/s00002-r00004740-n000004.json
index d72241fc4a4705c60b40de5073fbcff2db890dab..cec712c2eab9a9f60265c5fffb7f6f1eaed24234 100644
--- a/manifests/batches/oproofs/s00002-r00004740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004740-n000004",
   "batch_fingerprint": "162d92e9156af34da19ed13ddf3db293d55a4d84ad3d0bd55439db73a4bb0066",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004740-n000004-0000-bbeb8bac56b83889.parquet",
-      "sha256": "bbeb8bac56b838898b91b6f87ef8bc21dee6aa3f866a269b5ed8e8d5248046e6",
-      "bytes": 505340,
-      "rows": 27,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004740-n000004-0000-b441a9ae040233db.parquet",
-      "sha256": "b441a9ae040233db23c061fdde4148cc6dcc0c118a6ce17f7af0a8090b3e6b15",
-      "bytes": 130663,
-      "rows": 8,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004741.lean\",\"7e6966a07021ee40eb044577f96f2f6aef10d11a4967b1afce448ad6ed31c8b2\",0,\"circle_points_equality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004742.lean\",\"1e318d76022465ac3eec90d87b1d6748f39f6af15ca703e86e1e820dc864700c\",0,\"lean_workbook_plus_18261\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004743.lean\",\"64bff94e3c5673ed7f159ebdee475b7a2d9f7b2aaf58aa0134902c5941ed6df4\",0,\"lean_workbook_plus_61224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 505340,
+      "path": "data/train/pc7/oproofs-s00002-r00004740-n000004-0000-bbeb8bac56b83889.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "bbeb8bac56b838898b91b6f87ef8bc21dee6aa3f866a269b5ed8e8d5248046e6"
+    },
+    {
+      "bytes": 130663,
+      "path": "data/internal_test/pc7/oproofs-s00002-r00004740-n000004-0000-b441a9ae040233db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b441a9ae040233db23c061fdde4148cc6dcc0c118a6ce17f7af0a8090b3e6b15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004744-n000004.json b/manifests/batches/oproofs/s00002-r00004744-n000004.json
index 01169fcaeadd9a383fd31f84838f3d8804be34f4..dcf93ebce1db29585a8e74ace14aa046a2c422c1 100644
--- a/manifests/batches/oproofs/s00002-r00004744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004744-n000004",
   "batch_fingerprint": "3b0447ab9076ff4b75f1ceeb26d628b3f9f0c135d9c1b521d0262535266c3ffd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004744-n000004-0000-b63d2179a27773f4.parquet",
-      "sha256": "b63d2179a27773f45a095ced2e1db200ef0d1f3931b759789956d7502a1025fe",
-      "bytes": 262056,
-      "rows": 23,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004744-n000004-0000-b86066a1c249fa1e.parquet",
-      "sha256": "b86066a1c249fa1e8b90d455c02a8b0be8d98be2aab46ed5d8f19163102c8888",
-      "bytes": 74296,
-      "rows": 2,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004745.lean\",\"36d460747eb066db7f8c38e2a69494e0ec6a419bc6823edf0713da46c293b73a\",0,\"lean_workbook_plus_10233\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004746.lean\",\"f801f28d389317c3e2e58de8f0f4d4bf27996ecb32537d05c3d845cb5fe5ac57\",0,\"lean_workbook_plus_8687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004747.lean\",\"29548caee91ef6ae1efd5484bfb377966d94385f4cfe67aba8562a95df3726d0\",0,\"lean_workbook_plus_60873\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262056,
+      "path": "data/train/p1f/oproofs-s00002-r00004744-n000004-0000-b63d2179a27773f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b63d2179a27773f45a095ced2e1db200ef0d1f3931b759789956d7502a1025fe"
+    },
+    {
+      "bytes": 74296,
+      "path": "data/dev/p1f/oproofs-s00002-r00004744-n000004-0000-b86066a1c249fa1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b86066a1c249fa1e8b90d455c02a8b0be8d98be2aab46ed5d8f19163102c8888"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004748-n000004.json b/manifests/batches/oproofs/s00002-r00004748-n000004.json
index 2585c63f182bc6f655957047b859a0f143a65495..8e5f121498900d4aad17c037da55e9e130bb89b8 100644
--- a/manifests/batches/oproofs/s00002-r00004748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004748-n000004",
   "batch_fingerprint": "82c3ab02fdb3b07c01031003f0bfb18896e94608a77ffe664a218dd3752b6e41",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004748-n000004-0000-62664d0746fda03f.parquet",
-      "sha256": "62664d0746fda03f809f950e06b097d924bd6543d45f79bfa786535e544945cb",
-      "bytes": 107828,
-      "rows": 13,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4749",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004749.lean\",\"7036b5fd6c7cd5a8f59e87e555d44f91d9f65ab0b06ab9fa7309e3424dfe097b\",0,\"lean_workbook_plus_68247\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004750.lean\",\"18c8539f65ee25a8c069e354eb037ffec57f2a555890b9b839e68e0cf9d8f14f\",0,\"lean_workbook_plus_80850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004751.lean\",\"e7e9c99d791361b499e781e2f916f1d8727e17cdacf596d8e84fe5099fa8a4ee\",0,\"factorial_gcd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107828,
+      "path": "data/train/pac/oproofs-s00002-r00004748-n000004-0000-62664d0746fda03f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "62664d0746fda03f809f950e06b097d924bd6543d45f79bfa786535e544945cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004752-n000004.json b/manifests/batches/oproofs/s00002-r00004752-n000004.json
index 5314cc7abd513634d0cc5fa3dcdaf2ba67e147c8..8be670ca26d0faf1fa761d62829080bfb726a2f3 100644
--- a/manifests/batches/oproofs/s00002-r00004752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004752-n000004",
   "batch_fingerprint": "3eeecd9888e90d2ac1460b21417efc6e664c21311aa0d8ba1609656218f9af3c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004752-n000004-0000-6169f5bd2a7630e0.parquet",
-      "sha256": "6169f5bd2a7630e03c220f47c2125e18bbccbdbda6bf2c7a0a7edcaecc67e265",
-      "bytes": 297495,
-      "rows": 19,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4753",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004753.lean\",\"a351b4e3a204124ccfdfc3b748218aa9a3790398a9b5083f7d47cad4b3998b1d\",0,\"lean_workbook_plus_38700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004754.lean\",\"c0e54fd882adfe96b27cce79cdf0a24c31a210c8dc1d6747cd2066576fac2303\",0,\"lean_workbook_42411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004755.lean\",\"9dba06edfa981f915aa3d94ac1996ef799337e16672ba98130c9342c0446846a\",0,\"lean_workbook_plus_68254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297495,
+      "path": "data/train/p0d/oproofs-s00002-r00004752-n000004-0000-6169f5bd2a7630e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6169f5bd2a7630e03c220f47c2125e18bbccbdbda6bf2c7a0a7edcaecc67e265"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004756-n000004.json b/manifests/batches/oproofs/s00002-r00004756-n000004.json
index 2eb9bb4400d7fa80cb6585e0231a035e44001b85..8012b3fdeb46e5be74f75b63b0619da7eab98599 100644
--- a/manifests/batches/oproofs/s00002-r00004756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004756-n000004",
   "batch_fingerprint": "a55ff0014707fa971a32ead1a073dd45a0de5753dede35a804c4df59707f75d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004756-n000004-0000-ab474e6ea447d1e0.parquet",
-      "sha256": "ab474e6ea447d1e0cc92b474b168eb15943a820b7da384b1d66f53c31ea6f78a",
-      "bytes": 110892,
-      "rows": 14,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004757.lean\",\"46dbffea3ee0dcae5a90ac55a2901d156ab18e19ee31bbcb5abdd6d96e557921\",0,\"lean_workbook_plus_47836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004758.lean\",\"b537eee026677561a833acc172d82d137024f235252b71b519148e5814b41378\",0,\"lean_workbook_plus_61450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004759.lean\",\"17493bad91e35b6adacda7a923811d30cbcfead298b81663bd90e3b812d314e0\",0,\"complex_modulus_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110892,
+      "path": "data/train/p92/oproofs-s00002-r00004756-n000004-0000-ab474e6ea447d1e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ab474e6ea447d1e0cc92b474b168eb15943a820b7da384b1d66f53c31ea6f78a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004760-n000004.json b/manifests/batches/oproofs/s00002-r00004760-n000004.json
index ba126bdcb8ea99b6b005fdec552133c8b08f90f5..f1903af7b3a730df6f77d79d9aaa71b3eb936320 100644
--- a/manifests/batches/oproofs/s00002-r00004760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004760-n000004",
   "batch_fingerprint": "8551dd94e99662509ad000114c13824f917c22254a2795b44a197202961c6190",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004760-n000004-0000-072859d174d6db7c.parquet",
-      "sha256": "072859d174d6db7cecde281eb883b6fa9bc1de478901877e90c235c61b46ae5b",
-      "bytes": 314129,
-      "rows": 22,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004760-n000004-0000-f876525fa9c4ce7d.parquet",
-      "sha256": "f876525fa9c4ce7d5c647a021f1eec9714ae6fe36abfde5c87dc1fa8a8b29285",
-      "bytes": 31262,
-      "rows": 2,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004761.lean\",\"465419614d21a3a0f21068420087b27bb5aefd4434f614ecff715be3c091ef1e\",0,\"lean_workbook_plus_21688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004762.lean\",\"d581a33e306c144fa77ce2292133bf56f548626bc1a1c39abc4cd49257288417\",0,\"lean_workbook_plus_51956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004763.lean\",\"5d11f7e22aaf67a305f8c4e6e4ea11158c99ce3973c314e4279dc693d725a814\",0,\"lean_workbook_plus_36884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314129,
+      "path": "data/train/p31/oproofs-s00002-r00004760-n000004-0000-072859d174d6db7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "072859d174d6db7cecde281eb883b6fa9bc1de478901877e90c235c61b46ae5b"
+    },
+    {
+      "bytes": 31262,
+      "path": "data/internal_test/p31/oproofs-s00002-r00004760-n000004-0000-f876525fa9c4ce7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f876525fa9c4ce7d5c647a021f1eec9714ae6fe36abfde5c87dc1fa8a8b29285"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004764-n000004.json b/manifests/batches/oproofs/s00002-r00004764-n000004.json
index 28b3f5b7ca1594b37a2f0b8e411a8448ac2a8e35..381a4469bccd7544c3de4e4c6dea3c155d6caf24 100644
--- a/manifests/batches/oproofs/s00002-r00004764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004764-n000004",
   "batch_fingerprint": "bc922f6cc79173dfe05d8701e64d0ce332e2b190eb3a26f7a993fe049409e296",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004764-n000004-0000-46122647f9dc7f0b.parquet",
-      "sha256": "46122647f9dc7f0b3067f445537b02d8cf5d08f8caa2d0e8f9b267f3f22456f4",
-      "bytes": 435308,
-      "rows": 20,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004764-n000004-0000-2313bbf3c917ed30.parquet",
-      "sha256": "2313bbf3c917ed30e3304797a66f4467f550174e95356bb38af80d0ef15b68e6",
-      "bytes": 63062,
-      "rows": 4,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004765.lean\",\"9f482759ad682813f4b68eb5a462b0b941e4cdf6f6f9d383a60c128debb868cc\",0,\"lean_workbook_plus_45071\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004766.lean\",\"bd94d372018fd59f249c5cc3f326f86623bc0131d7858d3e0bf8d06ec29a3f82\",0,\"lean_workbook_37630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004767.lean\",\"6df77077c30f0fa3c5dbe4b06a56733b4396f7cb1b29ff1909e2fdbf0b31c90d\",0,\"lean_workbook_plus_28982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435308,
+      "path": "data/train/pf8/oproofs-s00002-r00004764-n000004-0000-46122647f9dc7f0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "46122647f9dc7f0b3067f445537b02d8cf5d08f8caa2d0e8f9b267f3f22456f4"
+    },
+    {
+      "bytes": 63062,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00004764-n000004-0000-2313bbf3c917ed30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2313bbf3c917ed30e3304797a66f4467f550174e95356bb38af80d0ef15b68e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004768-n000004.json b/manifests/batches/oproofs/s00002-r00004768-n000004.json
index b42b397ce4ae7916593281f5a8cb9a14d7bf7efa..b57ac936eb3ecd4d91ee420b6c5ade7f9fda066b 100644
--- a/manifests/batches/oproofs/s00002-r00004768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004768-n000004",
   "batch_fingerprint": "97913c5801fccd0fbde5045378f14ce4b4b9365c8ad6de36588131ac798ce881",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004768-n000004-0000-19795c7052a38cac.parquet",
-      "sha256": "19795c7052a38cac4ebf8d45cadb8d73f49580ca49b62697e1519869daeee9f7",
-      "bytes": 435760,
-      "rows": 18,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004769.lean\",\"f862e510e28cf47bad222e53fbf43d35f0dfab5342c890f15606c8b2790e1501\",0,\"lean_workbook_plus_35624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004770.lean\",\"a50f763044969c41c78055aab29fbc612ec1e068297967b7d1f9317ac5bb5273\",0,\"lean_workbook_plus_73253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004771.lean\",\"5d4bee731caf99e2cd54184c3af2bd0df586e5ca876f537741a2a330d989eff4\",0,\"bacteria_growth_three_hours\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435760,
+      "path": "data/train/p5c/oproofs-s00002-r00004768-n000004-0000-19795c7052a38cac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "19795c7052a38cac4ebf8d45cadb8d73f49580ca49b62697e1519869daeee9f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004772-n000004.json b/manifests/batches/oproofs/s00002-r00004772-n000004.json
index 6a03b4262884547dd58fa3758aac28591703bd1f..1fc647be79be7a5cbc3c688d728394c9609713ca 100644
--- a/manifests/batches/oproofs/s00002-r00004772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004772-n000004",
   "batch_fingerprint": "abcb50f3672c878b170c2109c2c14e62307b99ef2199dd101e3510a997f92bca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004772-n000004-0000-0def8df9ded4664b.parquet",
-      "sha256": "0def8df9ded4664b9bee1df28c017be3d7f3736ffadf83b4c0e001ba06d95e5a",
-      "bytes": 449281,
-      "rows": 22,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004773.lean\",\"b98eeeb29369e087a0793c9f9d52ff7410190d6125458ebb8fb5c8a456b7283a\",0,\"lean_workbook_31175\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004774.lean\",\"c62a95e5a9e04cbe55289b4e2e96a2c7c9531d0f28c4068889cb91a2fe89e80b\",0,\"lean_workbook_plus_37664\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004775.lean\",\"b1a5bbe986bbb356958e405b4d34810aa4baff4c642a19bf51d27ca6b9f1d558\",0,\"lean_workbook_plus_19062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449281,
+      "path": "data/train/pb1/oproofs-s00002-r00004772-n000004-0000-0def8df9ded4664b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0def8df9ded4664b9bee1df28c017be3d7f3736ffadf83b4c0e001ba06d95e5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004776-n000004.json b/manifests/batches/oproofs/s00002-r00004776-n000004.json
index e9cd856633173e8447bbc41c2ad284d495724161..7f771ab01e348617c458bb04d88bc75147c09e41 100644
--- a/manifests/batches/oproofs/s00002-r00004776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004776-n000004",
   "batch_fingerprint": "2e9981ab0384bb1a69d7898d4adca35be43a5614de7929dcbf4c743abf0dec9a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004776-n000004-0000-49b09d21f41176d2.parquet",
-      "sha256": "49b09d21f41176d232960ed5041a1e510ec04eb3367df4645a6f53be26f82b46",
-      "bytes": 334617,
-      "rows": 12,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004776-n000004-0000-97bafde83b9b7b55.parquet",
-      "sha256": "97bafde83b9b7b552227a330077e70f0f60dd977ee67bbde92adf216acb01d89",
-      "bytes": 149963,
-      "rows": 11,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004777.lean\",\"c3df2b59af2c2abcbae423f71f92036318ebee63c644ab05ecf13a8bc0bdb3bb\",0,\"lean_workbook_plus_72313\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004778.lean\",\"bad11533c7c1a11851eba37e630bd9b15065c821d6aa095104c08e318421d845\",0,\"lean_workbook_plus_55539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004779.lean\",\"24b2a8bbc0b3c523d16ad0b075d07f258b7e361064886790ab98d189fdcb0e9b\",0,\"lean_workbook_plus_70952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334617,
+      "path": "data/train/pd5/oproofs-s00002-r00004776-n000004-0000-49b09d21f41176d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "49b09d21f41176d232960ed5041a1e510ec04eb3367df4645a6f53be26f82b46"
+    },
+    {
+      "bytes": 149963,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00004776-n000004-0000-97bafde83b9b7b55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "97bafde83b9b7b552227a330077e70f0f60dd977ee67bbde92adf216acb01d89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004780-n000004.json b/manifests/batches/oproofs/s00002-r00004780-n000004.json
index 21572a39b6cab7adcd1342d8bb01474c03f95f49..967d8c2d481097ce6655944c6f0e5c014009a367 100644
--- a/manifests/batches/oproofs/s00002-r00004780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004780-n000004",
   "batch_fingerprint": "bf8b9428b9777b69c4c554789a599ab6723fff95af66a96cbef0a2f7e9da6688",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004780-n000004-0000-af1d1e72b73550df.parquet",
-      "sha256": "af1d1e72b73550dffb33b1424792fea92a01b3f299aaa1f7e2274dc3e27280dd",
-      "bytes": 127096,
-      "rows": 14,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004780-n000004-0000-53a87dfcbd5cf118.parquet",
-      "sha256": "53a87dfcbd5cf1189033c3fc5d2b026e091df8d510d6fc38c599fd4537978998",
-      "bytes": 71288,
-      "rows": 6,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4781",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004781.lean\",\"53af8dfab77512556110176d500b7d349f4243b66d0cf34f285f214edf94f9f1\",0,\"lean_workbook_plus_49775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004782.lean\",\"2927f5dd863219d48526036b03211af6a449237c76f10bb9fe0475499a40f49a\",0,\"lean_workbook_plus_69951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004783.lean\",\"a6e078185d006e4dd12b53d50ff2d8272ff5c4548a7c813e672fb68655b5bc13\",0,\"lean_workbook_plus_7702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127096,
+      "path": "data/train/pef/oproofs-s00002-r00004780-n000004-0000-af1d1e72b73550df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "af1d1e72b73550dffb33b1424792fea92a01b3f299aaa1f7e2274dc3e27280dd"
+    },
+    {
+      "bytes": 71288,
+      "path": "data/internal_test/pef/oproofs-s00002-r00004780-n000004-0000-53a87dfcbd5cf118.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "53a87dfcbd5cf1189033c3fc5d2b026e091df8d510d6fc38c599fd4537978998"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004784-n000004.json b/manifests/batches/oproofs/s00002-r00004784-n000004.json
index d0380168cfd32d0c3a8f86251b544a8afaa89b66..d5fae35277f2fbd87b5ca07608cea8ec7a04579b 100644
--- a/manifests/batches/oproofs/s00002-r00004784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004784-n000004",
   "batch_fingerprint": "7a16a18af9d7b33f9111c495259f5624dddf82a604897a7022f567311d59139f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004784-n000004-0000-ce8c94e408e98017.parquet",
-      "sha256": "ce8c94e408e98017cc60e8061fc22a930b0e83407fd717d27b21f3cc7e3d07d0",
-      "bytes": 276045,
-      "rows": 18,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004784-n000004-0000-5d0862d4fb0b724a.parquet",
-      "sha256": "5d0862d4fb0b724a44d8df349bee9b961d9ad5998867b352105d58fbf03f683d",
-      "bytes": 159630,
-      "rows": 7,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4785",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004785.lean\",\"72ebcca5097b9098cc8b5639757a88d955e0763f47ae461820ce6d862a0f8b71\",0,\"lean_workbook_plus_70414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004786.lean\",\"b2dba4a23f0c646571cdbfef030312636845b024f2a8b7f18e2ec9a7862c3849\",0,\"lean_workbook_20486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004787.lean\",\"25a481fd35352e2fcdc875e0a52144c1a8dbb7fa2a4509bc3f491bf70217dadd\",0,\"lean_workbook_2578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276045,
+      "path": "data/train/p8e/oproofs-s00002-r00004784-n000004-0000-ce8c94e408e98017.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ce8c94e408e98017cc60e8061fc22a930b0e83407fd717d27b21f3cc7e3d07d0"
+    },
+    {
+      "bytes": 159630,
+      "path": "data/internal_test/p8e/oproofs-s00002-r00004784-n000004-0000-5d0862d4fb0b724a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5d0862d4fb0b724a44d8df349bee9b961d9ad5998867b352105d58fbf03f683d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004788-n000004.json b/manifests/batches/oproofs/s00002-r00004788-n000004.json
index 8af45c1e457bcd9e02d569be853edd1f1491701f..2b5c2ff88cf707b26ce038215527d7247133d144 100644
--- a/manifests/batches/oproofs/s00002-r00004788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004788-n000004",
   "batch_fingerprint": "c03c52430b18dd75c950f5618ea77dcb690040ae38b276be183fe3b651e49d9d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004788-n000004-0000-f721523cd7fda90c.parquet",
-      "sha256": "f721523cd7fda90cad3bbf0d7546e9cfa6d3d863e2e622d723437605e48b78be",
-      "bytes": 236890,
-      "rows": 19,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004789.lean\",\"cf7383cd578114db882dc61a9dbe536a60746c962e93a6cb1d632959b754a0ef\",0,\"lean_workbook_plus_17350\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004790.lean\",\"120f996494c69f5fef5a42d072aecdc986a9a19acefdd6b1da92f3d86e8b4dc8\",0,\"lean_workbook_plus_8905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004791.lean\",\"b7b091881ba28653b87653934b5fdd4f51f8f32759b283255df4ae6280dee95a\",0,\"lean_workbook_plus_56375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236890,
+      "path": "data/train/p82/oproofs-s00002-r00004788-n000004-0000-f721523cd7fda90c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f721523cd7fda90cad3bbf0d7546e9cfa6d3d863e2e622d723437605e48b78be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004792-n000004.json b/manifests/batches/oproofs/s00002-r00004792-n000004.json
index ad7ef64a40a690d91013cc1e5aa7a3c1cf0bfbac..819ff828138fce9aa3522c7c1f29ac89e08c1214 100644
--- a/manifests/batches/oproofs/s00002-r00004792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004792-n000004",
   "batch_fingerprint": "a55e8b89e397db0e8c536a5c5236afd999e0744879f18f169cebc0d933bc7d4a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004792-n000004-0000-4baa39f6aebb71cf.parquet",
-      "sha256": "4baa39f6aebb71cf06294aff2c23efc03cf4e5f998e90c3ed0a78353d5390663",
-      "bytes": 352663,
-      "rows": 26,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004793.lean\",\"cdc1e2166f8ec79fefd09f53d3057f0d457cf23cc37226d3badea6a9d6332fac\",0,\"lean_workbook_plus_63003\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004794.lean\",\"3da59285fc50f05492aa08c69b9d889e5aae25e72dd70d529a69def07f5a773a\",0,\"lean_workbook_plus_15814\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004795.lean\",\"59a49456dd0cad629cc82ec6045ad80f53bc56c138a1342a1fda8191ecac29e1\",0,\"lean_workbook_26039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352663,
+      "path": "data/train/p57/oproofs-s00002-r00004792-n000004-0000-4baa39f6aebb71cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "4baa39f6aebb71cf06294aff2c23efc03cf4e5f998e90c3ed0a78353d5390663"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004796-n000004.json b/manifests/batches/oproofs/s00002-r00004796-n000004.json
index 8da0b78b9cb72bc8320f5d7ecad58d223ab37d90..7bb6798d8b58e693f6346ceb56717d0d2fa75ddc 100644
--- a/manifests/batches/oproofs/s00002-r00004796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004796-n000004",
   "batch_fingerprint": "c514bf460364ccba296e743e6bf795731a91f76ed7e7acdf6f209f6f135e3104",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004796-n000004-0000-2ffcbc7122bed69c.parquet",
-      "sha256": "2ffcbc7122bed69c19d60ee55f4110f9b48b160ec268223630cbf6a4b43fab08",
-      "bytes": 143852,
-      "rows": 11,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004796-n000004-0000-2c5d53cbb0b46d78.parquet",
-      "sha256": "2c5d53cbb0b46d78154b16f96d1a6f04ab1258f1eb3e44ccf6767a6d632c88dc",
-      "bytes": 66215,
-      "rows": 6,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004797.lean\",\"4d68cff0bbd760e37ad5def2ef1dc1a48538e2333bb9da891189f0e51519aa64\",0,\"lean_workbook_plus_15987\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004798.lean\",\"fde6829ac307e95471c7c29658a88dd8feb9f123525799a50d4b70e34647d593\",0,\"sum_of_divisors_24\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004799.lean\",\"f06b686f067bde8bc7767a7307b829af6cb8602c8b8e62b1f82c5c61bd2949d6\",0,\"lean_workbook_28681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143852,
+      "path": "data/train/p6c/oproofs-s00002-r00004796-n000004-0000-2ffcbc7122bed69c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2ffcbc7122bed69c19d60ee55f4110f9b48b160ec268223630cbf6a4b43fab08"
+    },
+    {
+      "bytes": 66215,
+      "path": "data/internal_test/p6c/oproofs-s00002-r00004796-n000004-0000-2c5d53cbb0b46d78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2c5d53cbb0b46d78154b16f96d1a6f04ab1258f1eb3e44ccf6767a6d632c88dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004800-n000004.json b/manifests/batches/oproofs/s00002-r00004800-n000004.json
index f798ad0a434829dde9bc783a50172dfcfc16b63d..e3a9845db9a4c59a45197e840f5b5b2bf1acc5a6 100644
--- a/manifests/batches/oproofs/s00002-r00004800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004800-n000004",
   "batch_fingerprint": "e27e8ac849298e379909ee9b4707f5de696850eb5e81fd72bf32117c6fa1443b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4800",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4801",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4802",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4803"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004800.lean\",\"80263a4a0cfcffbe6b2c8a76df9c588a36c86d17ed2e90e230de15663d4644d3\",0,\"circle_points_equality\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004801.lean\",\"4972542d088c549f71b3a0e89510edbdcfa97fd9425db1d41852e6cb20972763\",0,\"lean_workbook_plus_61224\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004802.lean\",\"78fde1deba45249d0ebbbb3b50664b649bfb5d3e1ad9cbdffcebdcf30f3ee2a3\",0,\"set_union_problem\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004803.lean\",\"117ee4f58a3a2138948e7412ee2a75bf94d0f92e2d8f71713012d885667dea19\",0,\"lean_workbook_plus_10233\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004800-n000004-0000-2f7159c84d9ba803.parquet",
-      "sha256": "2f7159c84d9ba803af3daa6191b3f8cde73ebcc09f828ab4613b9287e5ff8b35",
       "bytes": 325392,
+      "path": "data/train/p16/oproofs-s00002-r00004800-n000004-0000-2f7159c84d9ba803.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
+      "sha256": "2f7159c84d9ba803af3daa6191b3f8cde73ebcc09f828ab4613b9287e5ff8b35"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004800-n000004-0000-a631177f844f24e4.parquet",
-      "sha256": "a631177f844f24e449fbfc6df75aeca2dbc582d5c37b2a98d8e03324f83f74c3",
       "bytes": 113628,
+      "path": "data/dev/p16/oproofs-s00002-r00004800-n000004-0000-a631177f844f24e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
+      "sha256": "a631177f844f24e449fbfc6df75aeca2dbc582d5c37b2a98d8e03324f83f74c3"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004800-n000004-0000-65a72509ab437baa.parquet",
-      "sha256": "65a72509ab437baa9b4c0728228801456b7224faf61df85b4ac159104d351c24",
       "bytes": 111028,
+      "path": "data/internal_test/p16/oproofs-s00002-r00004800-n000004-0000-65a72509ab437baa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
+      "sha256": "65a72509ab437baa9b4c0728228801456b7224faf61df85b4ac159104d351c24"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4800",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4801",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4802",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4803"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004800.lean\",\"80263a4a0cfcffbe6b2c8a76df9c588a36c86d17ed2e90e230de15663d4644d3\",0,\"circle_points_equality\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004801.lean\",\"4972542d088c549f71b3a0e89510edbdcfa97fd9425db1d41852e6cb20972763\",0,\"lean_workbook_plus_61224\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004802.lean\",\"78fde1deba45249d0ebbbb3b50664b649bfb5d3e1ad9cbdffcebdcf30f3ee2a3\",0,\"set_union_problem\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004803.lean\",\"117ee4f58a3a2138948e7412ee2a75bf94d0f92e2d8f71713012d885667dea19\",0,\"lean_workbook_plus_10233\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004804-n000004.json b/manifests/batches/oproofs/s00002-r00004804-n000004.json
index 984ee4be6d3c983028f06c44c62e65b89ca3cd06..0a3807e3f794de77d65533b8df3cbd79bf43ce6d 100644
--- a/manifests/batches/oproofs/s00002-r00004804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004804-n000004",
   "batch_fingerprint": "b0f54cc0475008f9bf9ea77b4499b85942859120f7f3a99cd1af595de1b87be3",
   "evidence": {
@@ -60,15 +59,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004804-n000004-0000-6e15ddb8902e7561.parquet",
-      "sha256": "6e15ddb8902e756127a209aeaf356bbd362e0c889c450765955a2ee84186db41",
-      "bytes": 148999,
-      "rows": 10,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4806"
@@ -76,5 +67,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004804.lean\",\"134a3d6da81a0e2eb3c138332dcc091fc5798140e6de6b2931626e4615297965\",0,\"lean_workbook_11959\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004806.lean\",\"b9df013250071b9f70ce3df962dae2018d1abe8ca01ad570b38b4fa24f41a2f2\",0,\"lean_workbook_plus_8687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148999,
+      "path": "data/train/p75/oproofs-s00002-r00004804-n000004-0000-6e15ddb8902e7561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6e15ddb8902e756127a209aeaf356bbd362e0c889c450765955a2ee84186db41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004808-n000004.json b/manifests/batches/oproofs/s00002-r00004808-n000004.json
index ed49c1c9dbf8bc84394bd5bbb8b109122d020f59..edba3c297f59b1eda93fc73ff6e7c12a93135265 100644
--- a/manifests/batches/oproofs/s00002-r00004808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004808-n000004",
   "batch_fingerprint": "3405467cdf0b3a6421c42a71458134b9087285f50530370dad8f50b8d976af0d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004808-n000004-0000-9b6b2db823e2f02d.parquet",
-      "sha256": "9b6b2db823e2f02df142cff5460a6f539efc0de25e2ff34c8f40488f5f3a7f0a",
-      "bytes": 85811,
-      "rows": 10,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004808-n000004-0000-afc5465e336846a9.parquet",
-      "sha256": "afc5465e336846a98966e6509c1f8d2ffcc6b269eef99ccc0a5026c73911f2c8",
-      "bytes": 67163,
-      "rows": 3,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004809.lean\",\"82458d57b3898b886253a28643509ae636f9737d68ce3d410cbbda6eeaf5a2db\",0,\"lean_workbook_plus_19087\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004810.lean\",\"0870d1a5c1924b06da0ec883e48f610234db0b048c6be3f35f43575974b35d60\",0,\"lean_workbook_plus_80850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004811.lean\",\"3e7e94f9a1573c6c588af2e83f58bbb74acb261bb4be536e42f2b4bbb34817d0\",0,\"lean_workbook_plus_68247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85811,
+      "path": "data/train/p11/oproofs-s00002-r00004808-n000004-0000-9b6b2db823e2f02d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9b6b2db823e2f02df142cff5460a6f539efc0de25e2ff34c8f40488f5f3a7f0a"
+    },
+    {
+      "bytes": 67163,
+      "path": "data/internal_test/p11/oproofs-s00002-r00004808-n000004-0000-afc5465e336846a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "afc5465e336846a98966e6509c1f8d2ffcc6b269eef99ccc0a5026c73911f2c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004812-n000004.json b/manifests/batches/oproofs/s00002-r00004812-n000004.json
index 34ed49a250966213b4aed7a46c0be9103500e1f9..a5e29d70265ca720094663424060b82b52432dde 100644
--- a/manifests/batches/oproofs/s00002-r00004812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004812-n000004",
   "batch_fingerprint": "557e675d791146f4170704a445b5c3c75aac4f2fe091b026406562f876d25c4d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004812-n000004-0000-cd570847a4014cae.parquet",
-      "sha256": "cd570847a4014cae37d1294c44e044eb61cfc111791eaac7df4068d87f12b0b8",
-      "bytes": 203115,
-      "rows": 27,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004813.lean\",\"99acad8b4a8cce0a62e31a5ea4ca9ec39528900f4eed4fc28e0aa16cbe39d298\",0,\"lean_workbook_plus_38700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004814.lean\",\"ea6334af1150469ffd75ccb3fce522ac70687142f98b1979660a836d8e73ab30\",0,\"lean_workbook_38185\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004815.lean\",\"3c47b9bf27ce9ea2d8cc1ae8b7fa975841cb852cd83cf7efbaa44229189f637b\",0,\"lean_workbook_25957\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203115,
+      "path": "data/train/p5f/oproofs-s00002-r00004812-n000004-0000-cd570847a4014cae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "cd570847a4014cae37d1294c44e044eb61cfc111791eaac7df4068d87f12b0b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004816-n000004.json b/manifests/batches/oproofs/s00002-r00004816-n000004.json
index c381b3e4fe7dbd7f76d842eeef14ee72dd2bf1dc..372d941db4f232b1924c8a5b23c1bb9a54713ff8 100644
--- a/manifests/batches/oproofs/s00002-r00004816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004816-n000004",
   "batch_fingerprint": "899202ed821dc48620eca5ec9cf6759cea5c8f7833f8fa26d76fff46fa976dff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004816-n000004-0000-7f35842a87cc91b2.parquet",
-      "sha256": "7f35842a87cc91b291a7d93c3fad2ae9b00383e0a5d324e1a0def676f56108bb",
-      "bytes": 178854,
-      "rows": 20,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004817.lean\",\"1d053d756f903b8ad67236adf4f498ef384e8820f62342b47597310da6ffc84a\",0,\"lean_workbook_plus_68254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004818.lean\",\"c82d392fea2e8ecd2500316a5ad446a8643e4158d7bb09f3be06a77d14a49e01\",0,\"lean_workbook_plus_47836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004819.lean\",\"3507c6c966f921847b1c2144550650c9158a12fd5cb8a71273fbda1f952439d5\",0,\"complex_modulus_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178854,
+      "path": "data/train/p4a/oproofs-s00002-r00004816-n000004-0000-7f35842a87cc91b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7f35842a87cc91b291a7d93c3fad2ae9b00383e0a5d324e1a0def676f56108bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004820-n000004.json b/manifests/batches/oproofs/s00002-r00004820-n000004.json
index 0e1deda4e97cbe2f23baeb369730079cf110325e..0c68ac46de41a9a411913f9a640ce3ca2b9c8e61 100644
--- a/manifests/batches/oproofs/s00002-r00004820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004820-n000004",
   "batch_fingerprint": "39f32a8c44279b068020773e7137c65220cccade1f4e1481f343344e06c38cbb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004820-n000004-0000-f1618384709a2fb2.parquet",
-      "sha256": "f1618384709a2fb28933fefd18afead39e5b42252d9487cdecd86cf2cfc50d50",
-      "bytes": 353058,
-      "rows": 26,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004821.lean\",\"3d58f6f9de60eb0f2a5302c02a22b5867578acc73546f3e7d03fb836c007c1f9\",0,\"quadratic_maximum_point_characterization\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004822.lean\",\"c25ec714bd4db6e5177b6491adc72dc0424d61bf25e139ff8a23b05a9bc848f2\",0,\"lean_workbook_plus_36884\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004823.lean\",\"9a22e97137da1f94aa0085536d059df3806f543ed0c66dc471af06c69f1e6a8a\",0,\"square_visibility_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353058,
+      "path": "data/train/p93/oproofs-s00002-r00004820-n000004-0000-f1618384709a2fb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f1618384709a2fb28933fefd18afead39e5b42252d9487cdecd86cf2cfc50d50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004824-n000004.json b/manifests/batches/oproofs/s00002-r00004824-n000004.json
index 05f7f78f41fcacb68cf3ab86cabd9850f6bb73ce..fc5a7d809b963a22e92d21ee483a45840e4c4bcd 100644
--- a/manifests/batches/oproofs/s00002-r00004824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004824-n000004",
   "batch_fingerprint": "b723a47a9a9e23185835dbee8f0d446606299d97eae79b31f6c67064dba6c75c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004824-n000004-0000-5a21af86f9fb2de4.parquet",
-      "sha256": "5a21af86f9fb2de435709f999e4a72dc7fde5f8ea566a596fecdcb418d492fc8",
-      "bytes": 163409,
-      "rows": 19,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004824-n000004-0000-db7ad672067a95bd.parquet",
-      "sha256": "db7ad672067a95bd6cb3bbe8254f3c98d6796756874b6ad20c80c070c1ad46f7",
-      "bytes": 59073,
-      "rows": 3,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004825.lean\",\"4aae314b97ea3a4272370cf45aa232d9608148541ec55c8d73f8883dbbfa3b73\",0,\"lean_workbook_plus_21688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004826.lean\",\"cd9480fcb41be40a3d48ce2fb287a848f0a777fd0fca9019d1c2dd6f5f022e89\",0,\"lean_workbook_37630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004827.lean\",\"e8406d2be6147dbc9aebf1309aff7b48f971fc42660002f267e8d1a0eed33289\",0,\"conjugate_imag_part\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163409,
+      "path": "data/train/pae/oproofs-s00002-r00004824-n000004-0000-5a21af86f9fb2de4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5a21af86f9fb2de435709f999e4a72dc7fde5f8ea566a596fecdcb418d492fc8"
+    },
+    {
+      "bytes": 59073,
+      "path": "data/internal_test/pae/oproofs-s00002-r00004824-n000004-0000-db7ad672067a95bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "db7ad672067a95bd6cb3bbe8254f3c98d6796756874b6ad20c80c070c1ad46f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004828-n000004.json b/manifests/batches/oproofs/s00002-r00004828-n000004.json
index 133643a389fc82b1f3bb837bd6c6ebc177d2c95d..2ae11f27287db34e7135b61d2907a75f877a60d0 100644
--- a/manifests/batches/oproofs/s00002-r00004828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004828-n000004",
   "batch_fingerprint": "a7cd9db5d610ea73c99e2e84427dd706d8e99cc8c9052002a294ed73768cfbba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004828-n000004-0000-7cecd86f17f14679.parquet",
-      "sha256": "7cecd86f17f14679be35c346a551818b119c0c8dab0f57415706cef1001ec4b5",
-      "bytes": 97195,
-      "rows": 13,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004829.lean\",\"e06cb753d9f625105a9d6b8ace267cd6e19cae421467e13ab6bfa4b1deb2e2b8\",0,\"lean_workbook_plus_29095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004830.lean\",\"9016042c3385228be32528020270fef36bfd1367fa0c3945530c652a4dbaa37c\",0,\"bacteria_growth_three_hours\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004831.lean\",\"e77793821d0d54d69777f652cb122b938e4816c6188bcca20ab8aa5ad853fbdb\",0,\"sum_mod_seven_to_125\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97195,
+      "path": "data/train/pc0/oproofs-s00002-r00004828-n000004-0000-7cecd86f17f14679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7cecd86f17f14679be35c346a551818b119c0c8dab0f57415706cef1001ec4b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004832-n000004.json b/manifests/batches/oproofs/s00002-r00004832-n000004.json
index eac2ed2ebcec794b9b1b163d9505f8302ebab8ee..28e9c131dbb8aa020fd78f79836e7a91795313d3 100644
--- a/manifests/batches/oproofs/s00002-r00004832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004832-n000004",
   "batch_fingerprint": "ac387b7fc4a2f3464d210045018bedf346055ebb922e1fb36e78c43b4cede6ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004832-n000004-0000-558fe6e6c2876feb.parquet",
-      "sha256": "558fe6e6c2876feb5d6706ba8b615250081e87a035e35d2633ac91c91df2614e",
-      "bytes": 79587,
-      "rows": 12,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004832-n000004-0000-274d5fadf04e30c9.parquet",
-      "sha256": "274d5fadf04e30c90998cacd70d9675a73f258bcbdc5420ede24c901fda92402",
-      "bytes": 106879,
-      "rows": 10,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4833",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004833.lean\",\"5efcf1e860b5aef4fba592f4922b53af9ca736656232632552ff20e383712cac\",0,\"lean_workbook_plus_15585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004834.lean\",\"2cc5594830f634eb0fd4e13ab7d6cdb8ad47fa728b4a4f221b48f9094ed15d08\",0,\"lean_workbook_plus_7270\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004835.lean\",\"1c887e2a3487be4c43aa9dfbee1f00fab4533353ed8dee6fb3d3d97f5a3f9e62\",0,\"lean_workbook_plus_72313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79587,
+      "path": "data/train/pa6/oproofs-s00002-r00004832-n000004-0000-558fe6e6c2876feb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "558fe6e6c2876feb5d6706ba8b615250081e87a035e35d2633ac91c91df2614e"
+    },
+    {
+      "bytes": 106879,
+      "path": "data/internal_test/pa6/oproofs-s00002-r00004832-n000004-0000-274d5fadf04e30c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "274d5fadf04e30c90998cacd70d9675a73f258bcbdc5420ede24c901fda92402"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004836-n000004.json b/manifests/batches/oproofs/s00002-r00004836-n000004.json
index 2d71e779b674dd086f461bb762f65ef0bc24714b..68f0d276ab4c05bfbacf174a07c1186be8a6069a 100644
--- a/manifests/batches/oproofs/s00002-r00004836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004836-n000004",
   "batch_fingerprint": "621788e7cf29dfad8da760f547db46f841061fe80a906926e009a0a388998d4b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004836-n000004-0000-625d990f9db4d787.parquet",
-      "sha256": "625d990f9db4d787c4dee880a759bea46e8a4d8bc8f41470d204c53074e1390f",
-      "bytes": 381227,
-      "rows": 20,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004837.lean\",\"85b9902ef44751ba423449a2736e4083a1ccb5240f4f418b2da16276e6904704\",0,\"lean_workbook_plus_55539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004838.lean\",\"2df0641b26900d156de73d656bbc2ab49e8138947b1414a1021453956ceb6f90\",0,\"lean_workbook_plus_25600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004839.lean\",\"3b20c685491af169991bd2d554389ed11b4dd9d35d2244f03838443fcb4cd170\",0,\"lean_workbook_plus_70952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381227,
+      "path": "data/train/pc9/oproofs-s00002-r00004836-n000004-0000-625d990f9db4d787.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "625d990f9db4d787c4dee880a759bea46e8a4d8bc8f41470d204c53074e1390f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004840-n000004.json b/manifests/batches/oproofs/s00002-r00004840-n000004.json
index 6299910d2461b7db93509d08c93c23aac56d33eb..d14c17dde9a31856660fe389da5b74edc06370f8 100644
--- a/manifests/batches/oproofs/s00002-r00004840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004840-n000004",
   "batch_fingerprint": "54ef8202d68bd3004af2160564a71087a68d7cabe5d014230278d54bbea31c14",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004840-n000004-0000-b332c2b739127d5a.parquet",
-      "sha256": "b332c2b739127d5a2871521f13bca13af7c1503e2ec0e28fb8abc4a7bc7a5bd0",
-      "bytes": 361397,
-      "rows": 18,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004841.lean\",\"d415b76a22fd02856db8143b4351053630fd7d55392e49973d01092d194bac4c\",0,\"lean_workbook_plus_69951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004842.lean\",\"cdeae1e7aa70468ad996daf5e533b6c6853343b7d8539dce9f4538746c54b0fb\",0,\"lean_workbook_plus_7702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004843.lean\",\"640d03fc958b2f61c87a47537529603506ae2b61420ffa136c425ab2edeed0c1\",0,\"lean_workbook_55751\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361397,
+      "path": "data/train/p9c/oproofs-s00002-r00004840-n000004-0000-b332c2b739127d5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b332c2b739127d5a2871521f13bca13af7c1503e2ec0e28fb8abc4a7bc7a5bd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004844-n000004.json b/manifests/batches/oproofs/s00002-r00004844-n000004.json
index 42f93cdc781994c977e82262171669336d02290e..8e4f9ef19b62235143f973035a2cb4c445332a97 100644
--- a/manifests/batches/oproofs/s00002-r00004844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004844-n000004",
   "batch_fingerprint": "afb22efee62f5252656172bfa6d7b1673a1ecee2c2d8d549063924b9e4702904",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004844-n000004-0000-a663f50fa140e6f9.parquet",
-      "sha256": "a663f50fa140e6f97cf3fb193a2df4c4f57087caf3b4ab275f32092b5e7f0f07",
-      "bytes": 96775,
-      "rows": 10,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004844-n000004-0000-c824d7dc2a1a562c.parquet",
-      "sha256": "c824d7dc2a1a562c595741904bf480a7634c165b978f3338141f1c8b33ea6650",
-      "bytes": 142508,
-      "rows": 5,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004845.lean\",\"67a84bfb67e0f49b04febd6cac97b45d9e309a45a4ae2f2b0af63259c8d0103c\",0,\"lean_workbook_plus_37883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004846.lean\",\"e89366291acf1735deec192a15071ad4f3d69222524ef0b4cae3e05eed831845\",0,\"lean_workbook_plus_17350\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004847.lean\",\"5635921094fd91f8de23cf1dab497b6026d1909f69da69d10895db4d37e80a2f\",0,\"lean_workbook_plus_13687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96775,
+      "path": "data/train/p76/oproofs-s00002-r00004844-n000004-0000-a663f50fa140e6f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a663f50fa140e6f97cf3fb193a2df4c4f57087caf3b4ab275f32092b5e7f0f07"
+    },
+    {
+      "bytes": 142508,
+      "path": "data/internal_test/p76/oproofs-s00002-r00004844-n000004-0000-c824d7dc2a1a562c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c824d7dc2a1a562c595741904bf480a7634c165b978f3338141f1c8b33ea6650"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004848-n000004.json b/manifests/batches/oproofs/s00002-r00004848-n000004.json
index 76eee851ce7a00991fb7dcb13ddba894dcfbdbcb..f351fcc7b7e40fb91d39ed7c01a5d9915025e3ed 100644
--- a/manifests/batches/oproofs/s00002-r00004848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004848-n000004",
   "batch_fingerprint": "0416ab6db0d8f34b5ea5432dfabacb10ef47f20f43b52506e1f45782040507f5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004848-n000004-0000-8a5a0a8ea85ac9de.parquet",
-      "sha256": "8a5a0a8ea85ac9decd8c1f8fb17ca73698021baedbed319e2426bf792924222b",
-      "bytes": 972006,
-      "rows": 26,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004848-n000004-0000-a1376abc566402f4.parquet",
-      "sha256": "a1376abc566402f4dfa35be996751ed365f2217a2adac307dce11338de0bfcf8",
-      "bytes": 263775,
-      "rows": 9,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004849.lean\",\"6a8172fd215c34e36f4df84bfb59e14e473d3c900b7efef7b84d68f42247b5ea\",0,\"lean_workbook_plus_60629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004850.lean\",\"20812023b425ce5505bdc689ceb15934ca93bdf7f7ca8b14727743aecc97a1c9\",0,\"lean_workbook_20486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004851.lean\",\"24a6abbad48a7b5255209d42c01a16c342027686c20419526f600008bf3510c4\",0,\"lean_workbook_plus_31395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 972006,
+      "path": "data/train/p38/oproofs-s00002-r00004848-n000004-0000-8a5a0a8ea85ac9de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "8a5a0a8ea85ac9decd8c1f8fb17ca73698021baedbed319e2426bf792924222b"
+    },
+    {
+      "bytes": 263775,
+      "path": "data/internal_test/p38/oproofs-s00002-r00004848-n000004-0000-a1376abc566402f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a1376abc566402f4dfa35be996751ed365f2217a2adac307dce11338de0bfcf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004852-n000004.json b/manifests/batches/oproofs/s00002-r00004852-n000004.json
index 2b5cfbf26be0c0c2e1d35f7e60ef1d3391b09cee..3c0364f4ece0e18228aa316a37a424b9a4eb7c86 100644
--- a/manifests/batches/oproofs/s00002-r00004852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004852-n000004",
   "batch_fingerprint": "1626cf8863d134007dff6c20404c4bf0d480345ff675b885a4b1859ca9384324",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004852-n000004-0000-181b3be0942a1f71.parquet",
-      "sha256": "181b3be0942a1f71c77963c21d44e4b4b937d909ebd9db2ac7347cb80835c51b",
-      "bytes": 788462,
-      "rows": 25,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00004852-n000004-0001-75e501e87615bc87.parquet",
-      "sha256": "75e501e87615bc874a95abfa77952526a38783e02dd36f8eabe385a8b26b9ef9",
-      "bytes": 103675,
-      "rows": 4,
-      "revision": "cb22fe52f743d03e98e74b0118433b1debce1981"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004853.lean\",\"b02039972854c20dba6c72e28b7e851677145e4a15be6e5a3c456e34fd5d089d\",0,\"lean_workbook_28859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004854.lean\",\"145cd9fe146030ff65f8246403092a023c2c007464e055c46493e2ac45c1b2fd\",0,\"lean_workbook_plus_43746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004855.lean\",\"f482ee14efa17153487f1e89f2c1ab0966d71676742621c163414753de9e19e0\",0,\"lean_workbook_plus_35889\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 788462,
+      "path": "data/train/pbc/oproofs-s00002-r00004852-n000004-0000-181b3be0942a1f71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "181b3be0942a1f71c77963c21d44e4b4b937d909ebd9db2ac7347cb80835c51b"
+    },
+    {
+      "bytes": 103675,
+      "path": "data/train/pbc/oproofs-s00002-r00004852-n000004-0001-75e501e87615bc87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "75e501e87615bc874a95abfa77952526a38783e02dd36f8eabe385a8b26b9ef9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004856-n000004.json b/manifests/batches/oproofs/s00002-r00004856-n000004.json
index d8d871da95b3b31ef1c55942b7b96770da2c1521..a3183c3c090b94a6db797be820c18cbff9a0f597 100644
--- a/manifests/batches/oproofs/s00002-r00004856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004856-n000004",
   "batch_fingerprint": "559ee4d49b4cf273d7532d3fc06f8b8d35878b24e11b29c73ae1b93e488c4781",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004856-n000004-0000-5129d3772dd6a14b.parquet",
-      "sha256": "5129d3772dd6a14b54a92cfc9c03e8dac01c4dd4f043552d5e54cbb2c9839ed6",
-      "bytes": 256087,
-      "rows": 17,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004857.lean\",\"7291a7d94ee5a6c0c852c73c8b130b38df1a6e34d24c986b13f07fc661cc5478\",0,\"lean_workbook_plus_15814\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004858.lean\",\"80f315a1077fa975465247f4fb4402b5a7394d236f457ebdcc914cbe9dd36b4e\",0,\"lean_workbook_26039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004859.lean\",\"ecfaf862fcfd56b6208687c534c379114e2a361e8cc9ccf2efbef5ef949c178e\",0,\"lean_workbook_25901\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256087,
+      "path": "data/train/pb0/oproofs-s00002-r00004856-n000004-0000-5129d3772dd6a14b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5129d3772dd6a14b54a92cfc9c03e8dac01c4dd4f043552d5e54cbb2c9839ed6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004860-n000004.json b/manifests/batches/oproofs/s00002-r00004860-n000004.json
index 2b603d533a922a23790907231cbb9d6429464f49..d6325d8eebcb2a9399e3de09b346b6beaa276b76 100644
--- a/manifests/batches/oproofs/s00002-r00004860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004860-n000004",
   "batch_fingerprint": "22d5a1de3900fe98722a29e4281b49b0ec869cd983fd3f09a37c332d2a0ba329",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004860-n000004-0000-5c9b53c276e1d303.parquet",
-      "sha256": "5c9b53c276e1d303b1e5aaa8cd0a4ea32559a70b3b376d9b86ea66bc0d52d93c",
-      "bytes": 307984,
-      "rows": 16,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004860-n000004-0000-68686f6677682c0a.parquet",
-      "sha256": "68686f6677682c0a01de5ea2ef410a77b8bb0e65455d099aff20076e1570fe1a",
-      "bytes": 73240,
-      "rows": 9,
-      "revision": "e4beb1765fe29edddd12fb011181e5ceb51d5a4a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004861.lean\",\"cc9f570fab1b0db552cd327c821bbeeb56c5507ea16666afcec48726d38db10f\",0,\"lean_workbook_plus_15987\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004862.lean\",\"c325a7cc5c11c5bdfe0b82e2bf0ed5bafcc1ade4cb0329b87cad6e052ea4c1b8\",0,\"lean_workbook_plus_18261\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004863.lean\",\"e9d897374e8c77284a643217ff7c80f41eaf288947958eb2a10f815ab582f822\",0,\"lean_workbook_11959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307984,
+      "path": "data/train/p3e/oproofs-s00002-r00004860-n000004-0000-5c9b53c276e1d303.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5c9b53c276e1d303b1e5aaa8cd0a4ea32559a70b3b376d9b86ea66bc0d52d93c"
+    },
+    {
+      "bytes": 73240,
+      "path": "data/internal_test/p3e/oproofs-s00002-r00004860-n000004-0000-68686f6677682c0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "68686f6677682c0a01de5ea2ef410a77b8bb0e65455d099aff20076e1570fe1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004864-n000004.json b/manifests/batches/oproofs/s00002-r00004864-n000004.json
index 28cfbd4865af37a3f53d3ce12ef2adfaad78e82a..c0d9ad7652d4ff3a8a8baac1e2575ea8c2cae8dc 100644
--- a/manifests/batches/oproofs/s00002-r00004864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004864-n000004",
   "batch_fingerprint": "703d53928e08132371f8577c14b9f3ab2e93751483840b668cfd51cfa776f2bd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004864-n000004-0000-03bf227f2e31c3cb.parquet",
-      "sha256": "03bf227f2e31c3cb6a16e8cfd5501c59a7b14877478a80275052b9bedb4f02f4",
-      "bytes": 224064,
-      "rows": 17,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4865",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004865.lean\",\"5a8f603b92818aae5577d836143f2becf2ac541288bc9b1071faf366edb50cf8\",0,\"lean_workbook_plus_8687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004866.lean\",\"a264bcf7dec6b931dd73e75768175ff7c3abffd90d960f0092338aed96a00e70\",0,\"lean_workbook_plus_60873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004867.lean\",\"c32112fe94d6617c270d6318275929585bf8cd6bf0de81334bb27c0da1e47341\",0,\"factorial_gcd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224064,
+      "path": "data/train/pb6/oproofs-s00002-r00004864-n000004-0000-03bf227f2e31c3cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "03bf227f2e31c3cb6a16e8cfd5501c59a7b14877478a80275052b9bedb4f02f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004868-n000004.json b/manifests/batches/oproofs/s00002-r00004868-n000004.json
index a871459e5b9a24cf9d6356f83cb10945186a12cf..3ddaac48ab7fbcd2b4bc7d7d6d1b3b288f378a27 100644
--- a/manifests/batches/oproofs/s00002-r00004868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004868-n000004",
   "batch_fingerprint": "707cbeb0076c8c68f1c536b602c057bfa78c4693b183352bcede903b2330cbe9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004868-n000004-0000-92b6f121529d66b7.parquet",
-      "sha256": "92b6f121529d66b7eb06e4dd8d1b4ae8c1c27ca4b1d38ea22deb2b13b30a7c47",
-      "bytes": 163141,
-      "rows": 13,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004869.lean\",\"9be6edbd4bef0d9e6bb933904e0549d60662d52ceb0621ac15f644a9dbc4be70\",0,\"lean_workbook_plus_80850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004870.lean\",\"c8332e9bec5a665c87b0e628bdf6a7893ec999eb5a553d9bb7279ba9f5e97c13\",0,\"lean_workbook_42411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004871.lean\",\"c9b2ada5f20db4ca714180220a0dd6c628b12ae8c17ce877ea30801a07b87bc2\",0,\"lean_workbook_38185\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163141,
+      "path": "data/train/peb/oproofs-s00002-r00004868-n000004-0000-92b6f121529d66b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "92b6f121529d66b7eb06e4dd8d1b4ae8c1c27ca4b1d38ea22deb2b13b30a7c47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004872-n000004.json b/manifests/batches/oproofs/s00002-r00004872-n000004.json
index d5815e757c94f2f3f06adce607f8f0fb62cf761a..831d9529d769392b7568e9bd6f20dc21e238a277 100644
--- a/manifests/batches/oproofs/s00002-r00004872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004872-n000004",
   "batch_fingerprint": "afbd6677dbc55476a80cfb52215430b096aaf9b6b62e349df85dedb9eefdf9cd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004872-n000004-0000-0523abab8259de77.parquet",
-      "sha256": "0523abab8259de775e0b29dda02fd12a698dc6543125c1281f3b33ee0f52159f",
-      "bytes": 124402,
-      "rows": 18,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004873.lean\",\"76c0982a9776c848c34093e432a5b103bfa1413c0a349909b134ee71c8247cd7\",0,\"lean_workbook_25957\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004874.lean\",\"56f5f4f42b248d2431f41a79f0cd734bd73b9beb214f76a7ab4a5dccfed83347\",0,\"lean_workbook_plus_61450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004875.lean\",\"137a9f96045c9417c43036d99e79a0521ca9200dda392b9352681f401414b79b\",0,\"lean_workbook_plus_38700\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124402,
+      "path": "data/train/p80/oproofs-s00002-r00004872-n000004-0000-0523abab8259de77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0523abab8259de775e0b29dda02fd12a698dc6543125c1281f3b33ee0f52159f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004876-n000004.json b/manifests/batches/oproofs/s00002-r00004876-n000004.json
index 3e35bdc9b143e2ab0f61b8d9fc84a5364763e802..03d6cfb6a61dee39062e557df7f6672b8f2dcffd 100644
--- a/manifests/batches/oproofs/s00002-r00004876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004876-n000004",
   "batch_fingerprint": "c8034a7e6cd7b081970f99be1de098e1642c2d04ad67dd8d28a1ac51a3c3b3d4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004876-n000004-0000-4bba8c32576ac433.parquet",
-      "sha256": "4bba8c32576ac433ef37921ed55bea3e9a1db43615b7e86d667976e77df409eb",
-      "bytes": 107163,
-      "rows": 8,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004876-n000004-0000-81a116febb48740d.parquet",
-      "sha256": "81a116febb48740dba72634d20319a62f9a3145ab791bcc4da2c4b013fd97030",
-      "bytes": 71908,
-      "rows": 3,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004877.lean\",\"f9a303d3087853551e12b170657b6347266ed56dadeadb99379e55f8b18bc4c1\",0,\"lean_workbook_42462\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004878.lean\",\"d8aa446e1c980e5c526c32e7460b990e448c56f1231481729eb23bcd37fa5ad0\",0,\"lean_workbook_plus_21600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004879.lean\",\"8e7468cc4ebb97e30d9404fe4d0808c2d9052a7a3e0f129096f71f85e2c828c4\",0,\"complex_modulus_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107163,
+      "path": "data/train/p2d/oproofs-s00002-r00004876-n000004-0000-4bba8c32576ac433.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4bba8c32576ac433ef37921ed55bea3e9a1db43615b7e86d667976e77df409eb"
+    },
+    {
+      "bytes": 71908,
+      "path": "data/dev/p2d/oproofs-s00002-r00004876-n000004-0000-81a116febb48740d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "81a116febb48740dba72634d20319a62f9a3145ab791bcc4da2c4b013fd97030"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004880-n000004.json b/manifests/batches/oproofs/s00002-r00004880-n000004.json
index 4b1a866daf2e0b8d7ad75aec4385ce73d133d157..bdfa436721d707770af37f23c63ffa8b7d559e8c 100644
--- a/manifests/batches/oproofs/s00002-r00004880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004880-n000004",
   "batch_fingerprint": "8d71979a90d5b9095b7e31d86008f63f973199fc2eec330ce1fc5ac51f3e55d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004880-n000004-0000-cdf290bb6d248385.parquet",
-      "sha256": "cdf290bb6d24838526a162fb3e229f8c421fd135fefb913609f3718bc8425a87",
-      "bytes": 133318,
-      "rows": 11,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004880-n000004-0000-930dbe0a712c9c45.parquet",
-      "sha256": "930dbe0a712c9c4561a68e3690884b00307bed9ea3e89bca73aa3d08f8903547",
-      "bytes": 57582,
-      "rows": 5,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004881.lean\",\"cd7c936053d168d80ae6d046d8f376b0a544d2b160d5c06017d5062b35a1f67b\",0,\"lean_workbook_plus_68254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004882.lean\",\"aee15234f455cabeb4da04cad8fa6a3e1b2646088908194655a35f44c10e117a\",0,\"square_visibility_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004883.lean\",\"9b35a9653deffce525b11b49267ace59782d1702ec8c8860039ced4c1aaaf546\",0,\"lean_workbook_plus_15038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133318,
+      "path": "data/train/p03/oproofs-s00002-r00004880-n000004-0000-cdf290bb6d248385.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "cdf290bb6d24838526a162fb3e229f8c421fd135fefb913609f3718bc8425a87"
+    },
+    {
+      "bytes": 57582,
+      "path": "data/internal_test/p03/oproofs-s00002-r00004880-n000004-0000-930dbe0a712c9c45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "930dbe0a712c9c4561a68e3690884b00307bed9ea3e89bca73aa3d08f8903547"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004884-n000004.json b/manifests/batches/oproofs/s00002-r00004884-n000004.json
index cf522ff8cd0344605de45ac57b45de8ac43ebc80..78a4df3b7ba868e9c17efbfc319b85f035720fd8 100644
--- a/manifests/batches/oproofs/s00002-r00004884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004884-n000004",
   "batch_fingerprint": "852213a287e9dca9e3c1768971e4bf4c8d178e8c06acc0a0e56d17e729b32fe4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004884-n000004-0000-4bedd63fa1299aaf.parquet",
-      "sha256": "4bedd63fa1299aaf247900444a239f2544bab5174bb96e252bab82e2020f3233",
-      "bytes": 334700,
-      "rows": 33,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004885.lean\",\"509ebdab39a90b2ffe5f02d9a9aff73313d51571d838f68c25c748be7ec19151\",0,\"conjugate_imag_part\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004886.lean\",\"1aaf2aff189f9798b3b20be0d9ad873db4d7a017692e552682f4187a6fa66466\",0,\"lean_workbook_37630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004887.lean\",\"84cabf64b9e5e310210f215f065aca61b686dd2a5c5b0c9310b72c57d92ee706\",0,\"lean_workbook_plus_21688\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334700,
+      "path": "data/train/p54/oproofs-s00002-r00004884-n000004-0000-4bedd63fa1299aaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "4bedd63fa1299aaf247900444a239f2544bab5174bb96e252bab82e2020f3233"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004888-n000004.json b/manifests/batches/oproofs/s00002-r00004888-n000004.json
index 7d88128566630cff2a834bc056c89246ba761991..849324114a907f56089e23ed8843c192f30d1e03 100644
--- a/manifests/batches/oproofs/s00002-r00004888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004888-n000004",
   "batch_fingerprint": "eea4fcfa9e63d34bddae674d02688cfec9a479c13252f230eb1954f69c867e1f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004888-n000004-0000-1cb4af36c1dd279e.parquet",
-      "sha256": "1cb4af36c1dd279eb60da25235729dc887014252f7a00d99e1927d2a5f795da7",
-      "bytes": 83929,
-      "rows": 15,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4889",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004889.lean\",\"995195240db9d6fdcb93e53f4bc6ef83cb4bca74e5922fe2f11c42531aaac39f\",0,\"lean_workbook_plus_15585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004890.lean\",\"d08d5af8977c8b2929ef7890ed6ec305c3ce6f923f88a99d98133c4246ce3dc5\",0,\"lean_workbook_plus_7270\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004891.lean\",\"cd09b67fd041985a748d9ccdf677f5d5b9296d9e335ab47851c3bd398d403a25\",0,\"lean_workbook_31175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83929,
+      "path": "data/train/p08/oproofs-s00002-r00004888-n000004-0000-1cb4af36c1dd279e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1cb4af36c1dd279eb60da25235729dc887014252f7a00d99e1927d2a5f795da7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004892-n000004.json b/manifests/batches/oproofs/s00002-r00004892-n000004.json
index 213d2e7a034ae90665e9bbf455eb36fb0fef756d..341899dd21cd0f7f88f2e308ddbcede4ca3b8aff 100644
--- a/manifests/batches/oproofs/s00002-r00004892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004892-n000004",
   "batch_fingerprint": "21367c3ce640f5cb7c91f31d71bd94d9426c56eab5be70844092bbf46157bf72",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004892-n000004-0000-c447ad0a6e005f75.parquet",
-      "sha256": "c447ad0a6e005f756011688cd5d739d156d0324648ee12cf054c8dc02d66bc99",
-      "bytes": 373690,
-      "rows": 16,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004892-n000004-0000-ffac1dfec1e50e65.parquet",
-      "sha256": "ffac1dfec1e50e6545eecc1fbe4529fc7a3c150fe011ddc093a40af7b5e2b72b",
-      "bytes": 117117,
-      "rows": 9,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004893.lean\",\"5b4204276437782af2ddb1d0c2d62a1b2ed0e2c270c453222cd43a3ebf6056ac\",0,\"lean_workbook_33815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004894.lean\",\"facaefd32df462c7d29e0826f42bac0f676a7b3c435eb41bc23f20999d522a40\",0,\"lean_workbook_plus_25600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004895.lean\",\"d6dece29b3105e16c246ca55305c2ba334768a30c853fd7c00d7d1e6c8968ac8\",0,\"lean_workbook_plus_70952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373690,
+      "path": "data/train/pd8/oproofs-s00002-r00004892-n000004-0000-c447ad0a6e005f75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c447ad0a6e005f756011688cd5d739d156d0324648ee12cf054c8dc02d66bc99"
+    },
+    {
+      "bytes": 117117,
+      "path": "data/internal_test/pd8/oproofs-s00002-r00004892-n000004-0000-ffac1dfec1e50e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ffac1dfec1e50e6545eecc1fbe4529fc7a3c150fe011ddc093a40af7b5e2b72b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004896-n000004.json b/manifests/batches/oproofs/s00002-r00004896-n000004.json
index feea6e626d2119586294dedb916b99bbdf28a8d5..3cfd2cc25eff0d79ca6afb47cd58a9809e4c8303 100644
--- a/manifests/batches/oproofs/s00002-r00004896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004896-n000004",
   "batch_fingerprint": "02638cfc5ef40637e3ba0af0dfe89fd08516f579e6525cc616a1e747eb553645",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004896-n000004-0000-3165b763c5b3e5ed.parquet",
-      "sha256": "3165b763c5b3e5ed5196c4df8c04d0b4f6e7bfb719f7ef8def9e86a611e88ed2",
-      "bytes": 395931,
-      "rows": 16,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004896-n000004-0000-d7a6bb2c12cb0732.parquet",
-      "sha256": "d7a6bb2c12cb07321be0e25ac062b35ebd5698880ff44dff1e0485a89266fa1d",
-      "bytes": 118901,
-      "rows": 11,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004897.lean\",\"b0c22dd0092549f8199255feb7850ea868a3c4ff924b177711e254fcafade91d\",0,\"lean_workbook_plus_37664\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004898.lean\",\"770c2212365ad0ad06ec9a09fc07788da2a7035baeda8e5adbb7c5926ee05934\",0,\"lean_workbook_plus_73253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004899.lean\",\"913556a64dc100189c56c29093d048461e10886de78d9d88b519d14bb6d41a5f\",0,\"lean_workbook_plus_69951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395931,
+      "path": "data/train/p9e/oproofs-s00002-r00004896-n000004-0000-3165b763c5b3e5ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3165b763c5b3e5ed5196c4df8c04d0b4f6e7bfb719f7ef8def9e86a611e88ed2"
+    },
+    {
+      "bytes": 118901,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00004896-n000004-0000-d7a6bb2c12cb0732.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d7a6bb2c12cb07321be0e25ac062b35ebd5698880ff44dff1e0485a89266fa1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004900-n000004.json b/manifests/batches/oproofs/s00002-r00004900-n000004.json
index 6d4edbc26981955564f09b92ca8a44aab762c707..b1f0a0ca4a6959e0d6d147f02cf9b790e7438ea8 100644
--- a/manifests/batches/oproofs/s00002-r00004900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004900-n000004",
   "batch_fingerprint": "2c8926b826a5e834861138bc9a12ae5713ff21b0e282eab50c3c19f8a1b38553",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004900-n000004-0000-f265acfc45594de8.parquet",
-      "sha256": "f265acfc45594de8abfdce3c090574a76ad089eeee99ab453779cfd543e38c46",
-      "bytes": 225790,
-      "rows": 13,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004900-n000004-0000-c6cecfb78b1ff70e.parquet",
-      "sha256": "c6cecfb78b1ff70e3042b5f93aaa5f802167aa3a404b56e103daeed2f756f5a5",
-      "bytes": 74420,
-      "rows": 3,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004901.lean\",\"e59aa61e07faa9e178ff404631e5543b007b681b146a855c81c267a36e32fab7\",0,\"lean_workbook_plus_55539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004902.lean\",\"216b62f4c2028925fd958974a679131d57ea2c5dd7af5142f605a812a514db31\",0,\"lean_workbook_55751\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004903.lean\",\"b9b0266bcf61afed14091612dcf60c5669724e98282bf0ae02b883333a451125\",0,\"lean_workbook_plus_49775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225790,
+      "path": "data/train/p40/oproofs-s00002-r00004900-n000004-0000-f265acfc45594de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f265acfc45594de8abfdce3c090574a76ad089eeee99ab453779cfd543e38c46"
+    },
+    {
+      "bytes": 74420,
+      "path": "data/internal_test/p40/oproofs-s00002-r00004900-n000004-0000-c6cecfb78b1ff70e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c6cecfb78b1ff70e3042b5f93aaa5f802167aa3a404b56e103daeed2f756f5a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004904-n000004.json b/manifests/batches/oproofs/s00002-r00004904-n000004.json
index 96d97dd5792ec4e10b9b490c9cbec82c7cc3c341..1b23d223c6a5cbf85237f63d5c216ef5f5337a5a 100644
--- a/manifests/batches/oproofs/s00002-r00004904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004904-n000004",
   "batch_fingerprint": "cd489913776c72538b4ac4962ea1ceb0512b03b0b5df58d63828310e4f624c3f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004904-n000004-0000-dd66e1f7c3c1c826.parquet",
-      "sha256": "dd66e1f7c3c1c826f7d1e2217c0ee3354007c39f99189cff282d786abfe3366b",
-      "bytes": 425831,
-      "rows": 23,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004905.lean\",\"d68b71ab02e1be6d6beefa1e38bb6ee2a64ca6e0ac0753ea861f4e92f1b8340c\",0,\"lean_workbook_plus_37883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004906.lean\",\"198b8b734ad4dcbdacf03d1277ae9fe241a2fed3f2007d9a62cd664130542100\",0,\"lean_workbook_45466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004907.lean\",\"d91fce3507cc417982e17e88de58a5d356dd9410d03a6253edf87923d5b4b78e\",0,\"lean_workbook_plus_13687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425831,
+      "path": "data/train/pa1/oproofs-s00002-r00004904-n000004-0000-dd66e1f7c3c1c826.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "dd66e1f7c3c1c826f7d1e2217c0ee3354007c39f99189cff282d786abfe3366b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004908-n000004.json b/manifests/batches/oproofs/s00002-r00004908-n000004.json
index d23a87a26d7aa0c90444132a83a34b6652c00a6f..e0091a23266359f85aa393c4c6e7c4b932de3173 100644
--- a/manifests/batches/oproofs/s00002-r00004908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004908-n000004",
   "batch_fingerprint": "0bc8daa7a8c2ee6ec3a150f7e0bb97f1cb8b2fbfa0c5fa6225087d7846ec0bd4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004908-n000004-0000-104fba25dc3e0d9f.parquet",
-      "sha256": "104fba25dc3e0d9fc955fb9ccb81008738588ec12bb16746235901e6bee8848e",
-      "bytes": 587559,
-      "rows": 19,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004908-n000004-0000-ab30bb795690da8d.parquet",
-      "sha256": "ab30bb795690da8d32a646039f5c2aea80748f5a0ced392630324e7333d51b02",
-      "bytes": 200714,
-      "rows": 15,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4909",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004909.lean\",\"5f3f3b5bbaec53d5a65efd390db7c9569f0df3ca2f567bfd38c59ee7a91f35de\",0,\"lean_workbook_plus_8905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004910.lean\",\"bb8c0b390e15e8d6c208059a69fcadf6f613ef970cbcf16296ae3a8c67da3de0\",0,\"lean_workbook_plus_60629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004911.lean\",\"724ab073f4402afb5bdad4b390ce6ec69a0a1bda5f70f4d71913441869d01431\",0,\"lean_workbook_plus_70414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 587559,
+      "path": "data/train/p3a/oproofs-s00002-r00004908-n000004-0000-104fba25dc3e0d9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "104fba25dc3e0d9fc955fb9ccb81008738588ec12bb16746235901e6bee8848e"
+    },
+    {
+      "bytes": 200714,
+      "path": "data/internal_test/p3a/oproofs-s00002-r00004908-n000004-0000-ab30bb795690da8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ab30bb795690da8d32a646039f5c2aea80748f5a0ced392630324e7333d51b02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004912-n000004.json b/manifests/batches/oproofs/s00002-r00004912-n000004.json
index 13d552c06a64a36756cf4cef31037dcc025f01cc..2238444550daa2a4a807b72f3dde0dd348852957 100644
--- a/manifests/batches/oproofs/s00002-r00004912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004912-n000004",
   "batch_fingerprint": "99fa43c670ad88edade752dacb15c2cc8f904d1f6ba3b8f1da66c9a9e4345727",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004912-n000004-0000-c23c8bb5168ecf45.parquet",
-      "sha256": "c23c8bb5168ecf45a3d7ea7c1369ccdebe6b6c655bced7b674d6dfa70459c797",
-      "bytes": 465327,
-      "rows": 23,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004913.lean\",\"0dd3626a7d5e08173fdd5c45f422024a47c30e9b7103b0a5a4953da04cb944e3\",0,\"lean_workbook_plus_62919\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004914.lean\",\"450402dd11c479e026cf225d635a90360dde70c277c3af2acedddb45d6bceed1\",0,\"lean_workbook_plus_65674\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004915.lean\",\"23df07cdf47499efdad6c4f45366a6856e9192242573743f9967f412b296f216\",0,\"lean_workbook_plus_56375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465327,
+      "path": "data/train/p97/oproofs-s00002-r00004912-n000004-0000-c23c8bb5168ecf45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c23c8bb5168ecf45a3d7ea7c1369ccdebe6b6c655bced7b674d6dfa70459c797"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004916-n000004.json b/manifests/batches/oproofs/s00002-r00004916-n000004.json
index 46d3b0ea89aed5e76f6c77a9ec6b12058fa1b416..ffe45abfe1d65e90ae006a349652114f1059a6c2 100644
--- a/manifests/batches/oproofs/s00002-r00004916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004916-n000004",
   "batch_fingerprint": "5528d50adbad3599eb1cba292a78ec96d50243feb44080bdd5476f7f99c3eebe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004916-n000004-0000-b6424f9204c0e690.parquet",
-      "sha256": "b6424f9204c0e690efe1a036c1fa1e5f3061b358d56414529f4a704519fa7323",
-      "bytes": 1284111,
-      "rows": 23,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00004916-n000004-0001-d1a294a245388d92.parquet",
-      "sha256": "d1a294a245388d92516fa28ac1610a813234424a77d699bf919f91e115313fe5",
-      "bytes": 290834,
-      "rows": 9,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004917.lean\",\"f30ee3b9d6bc1a1ff690366d6e80a79d8a34872031d6e2c954d93066008aa016\",0,\"lean_workbook_plus_43746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004918.lean\",\"26d5391c8445e392872db422b1afe5eb0dc441fbe8f42b3d797378edde1d7e5a\",0,\"lean_workbook_plus_63003\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004919.lean\",\"0de8d8e25352b4252799a8ea2160e43b99042f1b1878abca719c7b0cc3edbc87\",0,\"lean_workbook_26039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1284111,
+      "path": "data/train/pf5/oproofs-s00002-r00004916-n000004-0000-b6424f9204c0e690.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "b6424f9204c0e690efe1a036c1fa1e5f3061b358d56414529f4a704519fa7323"
+    },
+    {
+      "bytes": 290834,
+      "path": "data/train/pf5/oproofs-s00002-r00004916-n000004-0001-d1a294a245388d92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d1a294a245388d92516fa28ac1610a813234424a77d699bf919f91e115313fe5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004920-n000004.json b/manifests/batches/oproofs/s00002-r00004920-n000004.json
index ffa738a42e8c299787e88e9ff1c5fcf392f33c43..e1b3c3ecb9db355988e12fa1d2799391fcc4ba6a 100644
--- a/manifests/batches/oproofs/s00002-r00004920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004920-n000004",
   "batch_fingerprint": "e6c1a53049071f2a67f282de113106c2f0636b24a8d375f07a198542bd8d9400",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4920",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4921",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4922",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4923"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004920.lean\",\"114602816cbab7b76376c8895ce4bf094b080cce6ff48afb2fcb1358aaad8d26\",0,\"lean_workbook_plus_15814\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004921.lean\",\"fa6c97d717bde746a4195452371363afbe14d764af17fd0f322e517cf4599dea\",0,\"lean_workbook_plus_28921\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004922.lean\",\"5359e92489613dce3b335a729282f450b5a1fb9dae20c834a4d5dab8c5d54a6f\",0,\"lean_workbook_plus_15987\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004923.lean\",\"0b460727059d0f1a26ceade64271b8c5c875e2ff602052b7a392daa13093bc24\",0,\"lean_workbook_plus_21035\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004920-n000004-0000-b53701d26ce22389.parquet",
-      "sha256": "b53701d26ce22389dd81d4723e5533d61679e9d27d5676d5126d8cc947394b4c",
       "bytes": 133417,
+      "path": "data/train/p0e/oproofs-s00002-r00004920-n000004-0000-b53701d26ce22389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "b53701d26ce22389dd81d4723e5533d61679e9d27d5676d5126d8cc947394b4c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004920-n000004-0000-539f1d22b3f675cb.parquet",
-      "sha256": "539f1d22b3f675cbb35a2a0542b62bf91bf1cc7ed351e151425bcf7047c81804",
       "bytes": 207917,
+      "path": "data/dev/p0e/oproofs-s00002-r00004920-n000004-0000-539f1d22b3f675cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "539f1d22b3f675cbb35a2a0542b62bf91bf1cc7ed351e151425bcf7047c81804"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004920-n000004-0000-cd30c28bcc607f3d.parquet",
-      "sha256": "cd30c28bcc607f3dacf54429bc0a134768ee82b9f9b6f10d10abb8b2bd1e046b",
       "bytes": 61062,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00004920-n000004-0000-cd30c28bcc607f3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "cd30c28bcc607f3dacf54429bc0a134768ee82b9f9b6f10d10abb8b2bd1e046b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4920",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4921",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4922",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4923"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004920.lean\",\"114602816cbab7b76376c8895ce4bf094b080cce6ff48afb2fcb1358aaad8d26\",0,\"lean_workbook_plus_15814\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004921.lean\",\"fa6c97d717bde746a4195452371363afbe14d764af17fd0f322e517cf4599dea\",0,\"lean_workbook_plus_28921\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004922.lean\",\"5359e92489613dce3b335a729282f450b5a1fb9dae20c834a4d5dab8c5d54a6f\",0,\"lean_workbook_plus_15987\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004923.lean\",\"0b460727059d0f1a26ceade64271b8c5c875e2ff602052b7a392daa13093bc24\",0,\"lean_workbook_plus_21035\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004924-n000004.json b/manifests/batches/oproofs/s00002-r00004924-n000004.json
index abf456296b0032609bcc2233d3ff9add5584393a..76b534a5f496261aa0f2fa5dde142e0b500ac06a 100644
--- a/manifests/batches/oproofs/s00002-r00004924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004924-n000004",
   "batch_fingerprint": "5a28910cf98d41270c56b854a3494920765db77878c67cbed7378a584af107d9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4924",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4925",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4926",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4927"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004924.lean\",\"9d6dd17d14742714667c97160c76d47b5bbd1c8e419fed25a58b0ffcbbd95de0\",0,\"set_union_problem\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004925.lean\",\"2534d340482714967997483f15de6879c04330fa0df051e75be41fe6d85ee31c\",0,\"lean_workbook_plus_18261\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004926.lean\",\"1d77c75bdd58838f94cc67a9e4fc5c3258d5d90e88ead91d0dd75ce1c5d37219\",0,\"lean_workbook_plus_61224\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004927.lean\",\"bdf9f68e93dd1afaed53e3fd2402d89f283b324fa65cae75c25175a6c426d864\",0,\"lean_workbook_plus_10233\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00004924-n000004-0000-c4fb658ad3ed1b7b.parquet",
-      "sha256": "c4fb658ad3ed1b7bdcd5267173f852f339baf6bca4c2d2f00e0a3f86105028b5",
       "bytes": 213549,
+      "path": "data/train/p03/oproofs-s00002-r00004924-n000004-0000-c4fb658ad3ed1b7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "c4fb658ad3ed1b7bdcd5267173f852f339baf6bca4c2d2f00e0a3f86105028b5"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00004924-n000004-0000-0779fb2f7f582ea2.parquet",
-      "sha256": "0779fb2f7f582ea2958784851755f72910d81fcc2569f494a807b9622718ddda",
       "bytes": 86314,
+      "path": "data/dev/p03/oproofs-s00002-r00004924-n000004-0000-0779fb2f7f582ea2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "0779fb2f7f582ea2958784851755f72910d81fcc2569f494a807b9622718ddda"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00004924-n000004-0000-c3c933f2ae4118f4.parquet",
-      "sha256": "c3c933f2ae4118f41ab6f332d44291434046ecff2f6de852b22a81423a43bc94",
       "bytes": 128495,
+      "path": "data/internal_test/p03/oproofs-s00002-r00004924-n000004-0000-c3c933f2ae4118f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
+      "sha256": "c3c933f2ae4118f41ab6f332d44291434046ecff2f6de852b22a81423a43bc94"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4924",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4925",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4926",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4927"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004924.lean\",\"9d6dd17d14742714667c97160c76d47b5bbd1c8e419fed25a58b0ffcbbd95de0\",0,\"set_union_problem\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004925.lean\",\"2534d340482714967997483f15de6879c04330fa0df051e75be41fe6d85ee31c\",0,\"lean_workbook_plus_18261\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004926.lean\",\"1d77c75bdd58838f94cc67a9e4fc5c3258d5d90e88ead91d0dd75ce1c5d37219\",0,\"lean_workbook_plus_61224\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004927.lean\",\"bdf9f68e93dd1afaed53e3fd2402d89f283b324fa65cae75c25175a6c426d864\",0,\"lean_workbook_plus_10233\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004928-n000004.json b/manifests/batches/oproofs/s00002-r00004928-n000004.json
index 3c8011b9db8375ba2aa4a5f9131fc4ca4e354ee7..2af88bb79f7c7fdf638f4133a65e445a65d997f4 100644
--- a/manifests/batches/oproofs/s00002-r00004928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004928-n000004",
   "batch_fingerprint": "7d3b00ad870b8c59f23f9e457676c98b7d378b84ebcbeb9bf2423528534c71b6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004928-n000004-0000-6469efc30b4761bf.parquet",
-      "sha256": "6469efc30b4761bfae31c1b78a7432db465f77e024e5f06cb5ab272b1d9559b8",
-      "bytes": 738333,
-      "rows": 23,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004929.lean\",\"90db66ebd1dad74aa16079cfc26d24ecfbf9786fac7eb5ae1bc541d147744533\",0,\"lean_workbook_28681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004930.lean\",\"6a12837da228efed7d20cb81d35662a4958e3a1462fb6baebcd1ebcea546336f\",0,\"lean_workbook_plus_8687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004931.lean\",\"3c290e22ff0ece1f187ed9d14799b7529f3aa7777e8c3c145c5ef24b98183cbe\",0,\"lean_workbook_plus_74322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 738333,
+      "path": "data/train/p74/oproofs-s00002-r00004928-n000004-0000-6469efc30b4761bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6469efc30b4761bfae31c1b78a7432db465f77e024e5f06cb5ab272b1d9559b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004932-n000004.json b/manifests/batches/oproofs/s00002-r00004932-n000004.json
index 16035c21f54a1e42bb8128e836f16bb388dda342..239fa919c26166a98d6898a4d9cdce46569ac0f9 100644
--- a/manifests/batches/oproofs/s00002-r00004932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004932-n000004",
   "batch_fingerprint": "f424468c11f469688509b51cce123cb4cba5e3ef181661aca249832891eed3ac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004932-n000004-0000-a5741f80833de69a.parquet",
-      "sha256": "a5741f80833de69a31884c2fb12341862f3a6e9d4a74b65613e19783e125cb08",
-      "bytes": 484339,
-      "rows": 17,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004932-n000004-0000-6f564ec0526a99cf.parquet",
-      "sha256": "6f564ec0526a99cf372789004b93addbc101c64a5ff33590ce70df0b3b96d83d",
-      "bytes": 141977,
-      "rows": 5,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4933",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004933.lean\",\"9686a93efcc0745509f03c4a95177aaaa1dfcb1ab65560632f5907000fb21a5a\",0,\"lean_workbook_16472\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004934.lean\",\"4d4e5475eac467ded424301ad677dc36a1b74b02430bae254801503b4ccd2ba0\",0,\"lean_workbook_56002\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004935.lean\",\"50877f54e4f80b97deaee822e0bab0a68f53088ede66ab230da4d66ef08b276e\",0,\"lean_workbook_plus_8761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484339,
+      "path": "data/train/p67/oproofs-s00002-r00004932-n000004-0000-a5741f80833de69a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a5741f80833de69a31884c2fb12341862f3a6e9d4a74b65613e19783e125cb08"
+    },
+    {
+      "bytes": 141977,
+      "path": "data/internal_test/p67/oproofs-s00002-r00004932-n000004-0000-6f564ec0526a99cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6f564ec0526a99cf372789004b93addbc101c64a5ff33590ce70df0b3b96d83d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004936-n000004.json b/manifests/batches/oproofs/s00002-r00004936-n000004.json
index 14f1140160392cf1e60fbd00403fd83befb75c61..d09ebcedfa1b49d15a6e64cbb96eb216c37cdddd 100644
--- a/manifests/batches/oproofs/s00002-r00004936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004936-n000004",
   "batch_fingerprint": "a61ab38e65cd915d042f89cc9dd5b39ad412c4444cea6e8b16ccf28ed50ce471",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004936-n000004-0000-58f8349781672352.parquet",
-      "sha256": "58f83497816723529814f0c9b2bfaef843fb90dc9316e2ff2d4002ef7be24d68",
-      "bytes": 118728,
-      "rows": 8,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004936-n000004-0000-84063ffedb4f7b16.parquet",
-      "sha256": "84063ffedb4f7b16e50e6e56928f7635619808e3aab5f4d45df133e45de7a0bf",
-      "bytes": 93653,
-      "rows": 6,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004937.lean\",\"d257f6733926851c791b4b3536fff06181c7da5f6622366e353d1599601a68bc\",0,\"lean_workbook_plus_23223\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004938.lean\",\"60e9048cac6d7f3eeba0fc99814004edd6c29c9b20d0d4413dee8551a0d1fd13\",0,\"lean_workbook_plus_56801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004939.lean\",\"3a56b62aa2ee77a877167c895145cd4bc010bd1c530e57892f7123d858054da1\",0,\"lean_workbook_plus_28456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118728,
+      "path": "data/train/pbc/oproofs-s00002-r00004936-n000004-0000-58f8349781672352.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "58f83497816723529814f0c9b2bfaef843fb90dc9316e2ff2d4002ef7be24d68"
+    },
+    {
+      "bytes": 93653,
+      "path": "data/internal_test/pbc/oproofs-s00002-r00004936-n000004-0000-84063ffedb4f7b16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "84063ffedb4f7b16e50e6e56928f7635619808e3aab5f4d45df133e45de7a0bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004940-n000004.json b/manifests/batches/oproofs/s00002-r00004940-n000004.json
index cbaef95d2e355bdeb1a0a5706b7bf4de9f2bd7c8..8940ce0b4d2e0f537cd5517c52133b1213d68348 100644
--- a/manifests/batches/oproofs/s00002-r00004940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004940-n000004",
   "batch_fingerprint": "ad290f50591baf7fcc1fa2e77d51e66014a6948302b536165bdf6dc894030c9b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004940-n000004-0000-23fedb16665b831f.parquet",
-      "sha256": "23fedb16665b831f7f57c6bbf90e6d31257321fa8775d6e7abd26e3d99e2f1f5",
-      "bytes": 144911,
-      "rows": 18,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004941.lean\",\"b6da6b1e12764cc8c799751585fb36e2050b567377b9c63d03d92f5460762bcc\",0,\"lean_workbook_plus_55178\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004942.lean\",\"4a9815dfe24a1b1bedf23fd10af6f536d532dcd385d2449169a76df721d6a216\",0,\"lean_workbook_plus_43105\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004943.lean\",\"8a701d7ffa75fe8d0ea0e49e584b5aa588f002983c66cb3cb108563b68b3a301\",0,\"lean_workbook_plus_19072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144911,
+      "path": "data/train/p1c/oproofs-s00002-r00004940-n000004-0000-23fedb16665b831f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "23fedb16665b831f7f57c6bbf90e6d31257321fa8775d6e7abd26e3d99e2f1f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004944-n000004.json b/manifests/batches/oproofs/s00002-r00004944-n000004.json
index c28365fa5f0f266146189d0080912921e0930c23..d4db1dc5e10492904c6a83cf25a593bf561229bb 100644
--- a/manifests/batches/oproofs/s00002-r00004944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004944-n000004",
   "batch_fingerprint": "b864180d1fb3f266e52d183e29dc439fba7aaf7219ccb953520f036b10b60e32",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004944-n000004-0000-8404960c7147fb99.parquet",
-      "sha256": "8404960c7147fb991fbeebd76e2c99e8e81d0a948ca2f03c344d7abf4f40f19f",
-      "bytes": 157908,
-      "rows": 11,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004944-n000004-0000-c3a2cbaa65a7f4f6.parquet",
-      "sha256": "c3a2cbaa65a7f4f6e92cafe31a6afb1bf2f4be99442613b9f1d0e9de8011486d",
-      "bytes": 79450,
-      "rows": 3,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4945",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004945.lean\",\"4f4d355bcae9a44e6f583e24bc2aec918b1791a339bbeecf9c32f6c23a3cdd49\",0,\"parabola_properties_and_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004946.lean\",\"77b0118a652687848162b83c3484536878dc537393be0e5703bbc8a79fa09fa1\",0,\"lean_workbook_plus_25819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004947.lean\",\"9d66f3c4ce0da7699bd530cab7bf2cd42a82f0e3981f9fb35ca38bffc496a2c9\",0,\"lean_workbook_plus_29950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157908,
+      "path": "data/train/p1a/oproofs-s00002-r00004944-n000004-0000-8404960c7147fb99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8404960c7147fb991fbeebd76e2c99e8e81d0a948ca2f03c344d7abf4f40f19f"
+    },
+    {
+      "bytes": 79450,
+      "path": "data/dev/p1a/oproofs-s00002-r00004944-n000004-0000-c3a2cbaa65a7f4f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3a2cbaa65a7f4f6e92cafe31a6afb1bf2f4be99442613b9f1d0e9de8011486d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004948-n000004.json b/manifests/batches/oproofs/s00002-r00004948-n000004.json
index b8cb02aad6abfba7aed039a893e0d04a3ed19303..b04980e7bc6dc855ce7c3b66fc128979ff58a105 100644
--- a/manifests/batches/oproofs/s00002-r00004948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004948-n000004",
   "batch_fingerprint": "09bfa656c77276da0ed1ef9227311cbd32be9650117ea83e787c6bc797ff9fc5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004948-n000004-0000-af472ba47bd6c0c0.parquet",
-      "sha256": "af472ba47bd6c0c05cc352320851da3c91ba91c7a0f6785d94e68d7945d784a0",
-      "bytes": 126297,
-      "rows": 11,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004948-n000004-0000-0cca6fc750526aec.parquet",
-      "sha256": "0cca6fc750526aecfc563151cb9fc1157553f11ca29fd1ee890235186450cdbb",
-      "bytes": 33320,
-      "rows": 3,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004949.lean\",\"7007f38a42a2c3a58dbdcf6a4d7b788f9a9e2de44107b59bf7ddf635ecf58f58\",0,\"lean_workbook_plus_77411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004950.lean\",\"7c31668d793b5f1253f3cec1430b15b81b22a4e5e66fe09d8adb65d4c2156d23\",0,\"lean_workbook_26159\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004951.lean\",\"69cd55f8115192329a02333c8b61252712e40b2e835cc2b9d431c1d1815dbce2\",0,\"lean_workbook_plus_47107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126297,
+      "path": "data/train/p0e/oproofs-s00002-r00004948-n000004-0000-af472ba47bd6c0c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "af472ba47bd6c0c05cc352320851da3c91ba91c7a0f6785d94e68d7945d784a0"
+    },
+    {
+      "bytes": 33320,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00004948-n000004-0000-0cca6fc750526aec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0cca6fc750526aecfc563151cb9fc1157553f11ca29fd1ee890235186450cdbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004952-n000004.json b/manifests/batches/oproofs/s00002-r00004952-n000004.json
index ad84ebd88f88a509f69ab2f3ead6040a8bba3c50..57f20b1cf6c50d92c5f587a2072f22c82e954c7a 100644
--- a/manifests/batches/oproofs/s00002-r00004952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004952-n000004",
   "batch_fingerprint": "4e2fa73132e25e2212fcbe090aedf55f31124d083efb8df4b816a26a619235cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004952-n000004-0000-8600e6f92f259fad.parquet",
-      "sha256": "8600e6f92f259fada83781f55133d147546bac5a741566ef13c5560c0f62eb8c",
-      "bytes": 115781,
-      "rows": 11,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00004952-n000004-0000-d9e675745859fb7c.parquet",
-      "sha256": "d9e675745859fb7c237132c7e238993a87893a90754acc5667c3e07bc3c3155e",
-      "bytes": 105749,
-      "rows": 10,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004953.lean\",\"44f65e188b736afaaffe81385332bdb5062474833e59ef74494c0e5c6aacd093\",0,\"lean_workbook_plus_11155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004954.lean\",\"616ebe397640eca5b076ed67d1753fcd161ed81bdcc653de6f5f1b9ebe846253\",0,\"lean_workbook_plus_60470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004955.lean\",\"9c386ee2ad080769725ea29f6ab67d6d8a2aee1519895cf4684a0d378b888565\",0,\"lean_workbook_plus_13366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115781,
+      "path": "data/train/p35/oproofs-s00002-r00004952-n000004-0000-8600e6f92f259fad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8600e6f92f259fada83781f55133d147546bac5a741566ef13c5560c0f62eb8c"
+    },
+    {
+      "bytes": 105749,
+      "path": "data/dev/p35/oproofs-s00002-r00004952-n000004-0000-d9e675745859fb7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d9e675745859fb7c237132c7e238993a87893a90754acc5667c3e07bc3c3155e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004956-n000004.json b/manifests/batches/oproofs/s00002-r00004956-n000004.json
index 91fac3398fceb480ca93eea9b7563a5b31379728..cbb3527026f427a42ab13c173368582d1abd7e9f 100644
--- a/manifests/batches/oproofs/s00002-r00004956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004956-n000004",
   "batch_fingerprint": "26f33cec8397e5ea7a9b8f192dec97d61e50c964361fcf3c8b329d6ce165d507",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004956-n000004-0000-ad5c2b5add1b94e3.parquet",
-      "sha256": "ad5c2b5add1b94e37bb4f0ec5af2ed0da84167226030e54cde1239c32e1c9384",
-      "bytes": 417888,
-      "rows": 15,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004956-n000004-0000-89961314a86c3184.parquet",
-      "sha256": "89961314a86c318423f929eaaefc1ec17977350afb97e4ddbc1b73675e6ab7f3",
-      "bytes": 43695,
-      "rows": 4,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004957.lean\",\"94f8155bddefb444c75ecf821c3e554d05be7e5c79b592ef759d72e8f8f2bd64\",0,\"lean_workbook_plus_50762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004958.lean\",\"9dbbd6f8230ac9a626d2ad63153257097d449651b0bcfb71d28223d951c4409a\",0,\"lean_workbook_plus_22319\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004959.lean\",\"18849a7ae40f03817def9122dd19ca7a9eb65ade70afb73208e7a1ac4a95e1e1\",0,\"max_sum_sqrt_constraint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417888,
+      "path": "data/train/pa5/oproofs-s00002-r00004956-n000004-0000-ad5c2b5add1b94e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ad5c2b5add1b94e37bb4f0ec5af2ed0da84167226030e54cde1239c32e1c9384"
+    },
+    {
+      "bytes": 43695,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00004956-n000004-0000-89961314a86c3184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "89961314a86c318423f929eaaefc1ec17977350afb97e4ddbc1b73675e6ab7f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004960-n000004.json b/manifests/batches/oproofs/s00002-r00004960-n000004.json
index c6e4b5e3bc347c36fe07a287d7238dc9e99f335c..d37899f8f14c91b52a9ca1a9a551d685c8c46c4f 100644
--- a/manifests/batches/oproofs/s00002-r00004960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004960-n000004",
   "batch_fingerprint": "165385d0a4b58f7e7f336243462eee4719f4b2ef2d5b42c160d495d537fcad27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004960-n000004-0000-415158e0130439d6.parquet",
-      "sha256": "415158e0130439d6f74c09c47e3a1ba7aca877e036e3a9a871c8ee1125e2c1ff",
-      "bytes": 589275,
-      "rows": 16,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004960-n000004-0000-405036a7b22e4608.parquet",
-      "sha256": "405036a7b22e4608deca6ae58ec18041a9cd0a5082458426b6dae331277cbb5b",
-      "bytes": 67003,
-      "rows": 3,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004961.lean\",\"9aab74eb3731fff267a410fc44550f03d4631fe942444b1e91fa25bcb4efa350\",0,\"lean_workbook_plus_49789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004962.lean\",\"bde2573ccbe97d51db7835b67aff785fc8369f4eb6c025d4668a6f43b0616db6\",0,\"lean_workbook_plus_29670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004963.lean\",\"3e96579ae27756b8bf462aaace8fd04bf6239b027abd9b4dc390275843454dad\",0,\"nadia_walking_distance\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589275,
+      "path": "data/train/p05/oproofs-s00002-r00004960-n000004-0000-415158e0130439d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "415158e0130439d6f74c09c47e3a1ba7aca877e036e3a9a871c8ee1125e2c1ff"
+    },
+    {
+      "bytes": 67003,
+      "path": "data/internal_test/p05/oproofs-s00002-r00004960-n000004-0000-405036a7b22e4608.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "405036a7b22e4608deca6ae58ec18041a9cd0a5082458426b6dae331277cbb5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004964-n000004.json b/manifests/batches/oproofs/s00002-r00004964-n000004.json
index b1058f4a822db7e515a1e8a88d6936be670a6c90..3460fb3d99f01c58ffc6ed4d00564375fdc8d104 100644
--- a/manifests/batches/oproofs/s00002-r00004964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004964-n000004",
   "batch_fingerprint": "ed87f55c8d945210082ce8a443fddedea304b8a6b65d319660f4db257b289d32",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004964-n000004-0000-e4e6acd4899c2fb4.parquet",
-      "sha256": "e4e6acd4899c2fb4dc288824d5816f073fe0146e79d3b01b3e825558037b5768",
-      "bytes": 240575,
-      "rows": 16,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004964-n000004-0000-fa7f2c572b451e59.parquet",
-      "sha256": "fa7f2c572b451e595070477472600428d639a4f33617e7cb35abe863c1c2fa8f",
-      "bytes": 101373,
-      "rows": 5,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004965.lean\",\"7098aa6fb5717c0b47bca704105196f2ae638df91d2943b00b0583fd9cbaf862\",0,\"lean_workbook_19306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004966.lean\",\"cad7cd73f882dfcaf7850b6d6e7333d194740a425a6d66eaa304af0f9f6a1912\",0,\"lean_workbook_plus_15826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004967.lean\",\"d81a925e4b25b5ab513cf7ad874ae35561d912eca537916bbb8be15846b47631\",0,\"lean_workbook_plus_67908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240575,
+      "path": "data/train/pc2/oproofs-s00002-r00004964-n000004-0000-e4e6acd4899c2fb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e4e6acd4899c2fb4dc288824d5816f073fe0146e79d3b01b3e825558037b5768"
+    },
+    {
+      "bytes": 101373,
+      "path": "data/internal_test/pc2/oproofs-s00002-r00004964-n000004-0000-fa7f2c572b451e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fa7f2c572b451e595070477472600428d639a4f33617e7cb35abe863c1c2fa8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004968-n000004.json b/manifests/batches/oproofs/s00002-r00004968-n000004.json
index 71200de1aa734f59bdd288c0fcdf85ac0a0d7174..da3f7a5b8393d81cea2f5d3ba36fb0e0fe98fa60 100644
--- a/manifests/batches/oproofs/s00002-r00004968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004968-n000004",
   "batch_fingerprint": "03b536187d6cc118718e0b336a7e92a47ba6c2efd88b98e15754d60e40db7525",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004968-n000004-0000-177b7a6b5664fa17.parquet",
-      "sha256": "177b7a6b5664fa173bfd9f06d1f029f480685ed271c82cc9f85b2170b41425de",
-      "bytes": 360103,
-      "rows": 25,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4969",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004969.lean\",\"77247e47f1e434ac15b4fd87720b9aa0bd44d6ee90847665d1f8e3f5e1c0634e\",0,\"lean_workbook_plus_2425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004970.lean\",\"2aa50acfad0dc54c28cd640613a05ef3dd9106e3336521a8fe1428d7b3c02048\",0,\"lean_workbook_plus_57187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004971.lean\",\"5977e528aa823e886996731c6eb7ef564b83cb4f7187fbfc085a956d1f07ccaa\",0,\"lean_workbook_plus_74133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 360103,
+      "path": "data/train/p7f/oproofs-s00002-r00004968-n000004-0000-177b7a6b5664fa17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "177b7a6b5664fa173bfd9f06d1f029f480685ed271c82cc9f85b2170b41425de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004972-n000004.json b/manifests/batches/oproofs/s00002-r00004972-n000004.json
index eda2c1cff3258f0488d75756a1c83adac9ae8525..e5b7e7da20939d34fcc00e52586d237879ca9f15 100644
--- a/manifests/batches/oproofs/s00002-r00004972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004972-n000004",
   "batch_fingerprint": "8908077f8bce3a9fbbb047d48205acca2a53578a2fa30afd0710e286fe1150d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004972-n000004-0000-879738933a6812a6.parquet",
-      "sha256": "879738933a6812a633842fb957cf5823fab1072f9d6626dd206e3bff70ef0d8f",
-      "bytes": 901431,
-      "rows": 26,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00004972-n000004-0001-76d10d72cba1b990.parquet",
-      "sha256": "76d10d72cba1b990b6cf93527834d6bd2f18f5ddb02700136c9d68342c339b26",
-      "bytes": 166260,
-      "rows": 2,
-      "revision": "8e40feec0819ead55c4b982ba50715f43fdba8fa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004973.lean\",\"d93b40bdfe570267b2edec0d8e94f2513ccada1c221de06812560634731ee30b\",0,\"lean_workbook_25652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004974.lean\",\"c66fcfc64e965ead49f6d4846c159d1eb34a045eed6f048e7fe389d5be9f739a\",0,\"lean_workbook_plus_43598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004975.lean\",\"85afe685fdb53a702f344447df884b47082a720bee551ad550b0dc5e6f3a3af2\",0,\"lean_workbook_plus_70010\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 901431,
+      "path": "data/train/pb0/oproofs-s00002-r00004972-n000004-0000-879738933a6812a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "879738933a6812a633842fb957cf5823fab1072f9d6626dd206e3bff70ef0d8f"
+    },
+    {
+      "bytes": 166260,
+      "path": "data/train/pb0/oproofs-s00002-r00004972-n000004-0001-76d10d72cba1b990.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "76d10d72cba1b990b6cf93527834d6bd2f18f5ddb02700136c9d68342c339b26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004976-n000004.json b/manifests/batches/oproofs/s00002-r00004976-n000004.json
index 803520ec2f161a6706c55737a13891c15ad63774..73f5d2baab1a6bd46e0a4561387b753ab4994db8 100644
--- a/manifests/batches/oproofs/s00002-r00004976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004976-n000004",
   "batch_fingerprint": "78b63deae8dd4c89249edc120bed1b369d29ef183b7cb2795e271676cc451945",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004976-n000004-0000-de2551bcb5b2821b.parquet",
-      "sha256": "de2551bcb5b2821b05f6943c346878dcf1b729e5d41793cb8c1dba495986dcbb",
-      "bytes": 377699,
-      "rows": 16,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004977.lean\",\"db43ab38ab25619eb408c75d23cc96ddcfcd01f88103f2266d41382548a8f8e5\",0,\"lean_workbook_plus_22316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004978.lean\",\"496289b475d0991fd850b4a0ab4ce30a4740111dd4ca6b389bb14d3084e99dd3\",0,\"lean_workbook_1344\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004979.lean\",\"dda13318086857868ed5bccf815594320c45e2143281eee001b1862e61216a08\",0,\"lean_workbook_plus_59786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 377699,
+      "path": "data/train/p4b/oproofs-s00002-r00004976-n000004-0000-de2551bcb5b2821b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "de2551bcb5b2821b05f6943c346878dcf1b729e5d41793cb8c1dba495986dcbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004980-n000004.json b/manifests/batches/oproofs/s00002-r00004980-n000004.json
index 954e88b8deacf3ff43f681fda581705a1c54e695..1b308a8cdc9e257f54102b3a09bc76308ebca0c4 100644
--- a/manifests/batches/oproofs/s00002-r00004980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004980-n000004",
   "batch_fingerprint": "3f0c3a7dbffd7cd8bb5e22cffc2087d669f5c05af1c0b15c6b90876c666913e8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004980-n000004-0000-9e7f558ab92160ed.parquet",
-      "sha256": "9e7f558ab92160ed1906ecb7f15c9e1d9630980332612f5e40723eec44900750",
-      "bytes": 311319,
-      "rows": 15,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004980-n000004-0000-c1c80b514fb074db.parquet",
-      "sha256": "c1c80b514fb074dbff3858f4d87f67e1d9c7b05b34afbe0e848c3319c70d1efd",
-      "bytes": 97314,
-      "rows": 4,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4981",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004981.lean\",\"5f503fa336938a5b95cfb0e318ccc192d785dfe6c1e1df5718a2788b9f8b7396\",0,\"lean_workbook_30510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004982.lean\",\"2e62f5ada0901af18d96e50d830dc8b733897e7ffe386c6f8562012040cc5df2\",0,\"lean_workbook_52866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004983.lean\",\"e06d6d04e8de21039849720fbd7cc65724cce9314a3bf5696d9540a2139e0f53\",0,\"lean_workbook_plus_17359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311319,
+      "path": "data/train/p8f/oproofs-s00002-r00004980-n000004-0000-9e7f558ab92160ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9e7f558ab92160ed1906ecb7f15c9e1d9630980332612f5e40723eec44900750"
+    },
+    {
+      "bytes": 97314,
+      "path": "data/internal_test/p8f/oproofs-s00002-r00004980-n000004-0000-c1c80b514fb074db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c1c80b514fb074dbff3858f4d87f67e1d9c7b05b34afbe0e848c3319c70d1efd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004984-n000004.json b/manifests/batches/oproofs/s00002-r00004984-n000004.json
index 781e6f9613b81e4d721f81416acd3600675dda17..c0fbd1c4d60823f4f84a51853905c5688086a2d4 100644
--- a/manifests/batches/oproofs/s00002-r00004984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004984-n000004",
   "batch_fingerprint": "71c0110133ddf635c7c9dfa62e0528d79b81065d66b15b38f430f8a32f2df976",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004984-n000004-0000-4f091c8035c4b217.parquet",
-      "sha256": "4f091c8035c4b217f9ad9886dec7adf3dbc4a20743f6a03a3b711a94e3cf8732",
-      "bytes": 143800,
-      "rows": 19,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004985.lean\",\"4b70957757a2fb43775ab176eddda10a46c576215d3a84e040b55adf6e979039\",0,\"lean_workbook_plus_51251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004986.lean\",\"4eece40986d4200129bfe494540753b691ba5928af57b0db116ffe25325be7ad\",0,\"lean_workbook_plus_38060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004987.lean\",\"7c0d0109a8a4ee984ff74f5566e568dbcf1bcb582ee7c5b3b8c014a892875ab4\",0,\"lean_workbook_plus_44559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143800,
+      "path": "data/train/p49/oproofs-s00002-r00004984-n000004-0000-4f091c8035c4b217.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4f091c8035c4b217f9ad9886dec7adf3dbc4a20743f6a03a3b711a94e3cf8732"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004988-n000004.json b/manifests/batches/oproofs/s00002-r00004988-n000004.json
index ff604e6c8e7b746484c206234ecc79f23a0a207b..9bd520d9c827ca8d9524da545902d9d1a00d6341 100644
--- a/manifests/batches/oproofs/s00002-r00004988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004988-n000004",
   "batch_fingerprint": "c3eb3c7074748e4dd2b48fbd1f4ad0cd44f96fd19494ac0e00023a65281f1234",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004988-n000004-0000-1a56c713487ce6dc.parquet",
-      "sha256": "1a56c713487ce6dc691e55f4a923cf854bb13bbaad489f5e29868d1470271e23",
-      "bytes": 206628,
-      "rows": 17,
-      "revision": "905db40a66a6d3b5613e2e468cff20125a5249ab"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004989.lean\",\"d21db6bdb283396a36a56918ed5eb798d89d41a5365606fc4fd1e7bcd8fcfe06\",0,\"lean_workbook_plus_75924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004990.lean\",\"fadd917cb3e88e26a284ef1bb020e9d002b9610f9949fddfa35eef30de9adeff\",0,\"lean_workbook_plus_79497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004991.lean\",\"a2e18b72546d08d9034db8e4fa11f8b3eeed2d4e17faea83afef9b348f0da2ac\",0,\"lean_workbook_plus_28952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206628,
+      "path": "data/train/p0a/oproofs-s00002-r00004988-n000004-0000-1a56c713487ce6dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1a56c713487ce6dc691e55f4a923cf854bb13bbaad489f5e29868d1470271e23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004992-n000004.json b/manifests/batches/oproofs/s00002-r00004992-n000004.json
index 41c4a92069f43a0601a54158a9fae9e85c0013ef..a0f30c06d2f45d24bdfd90bbedf4c1e0b6679252 100644
--- a/manifests/batches/oproofs/s00002-r00004992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004992-n000004",
   "batch_fingerprint": "4b8a54b25217bf7bbe09df4fa49abed7e593cde0864e0ad986f6adb78471aacd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004992-n000004-0000-7b0eda1857046cc8.parquet",
-      "sha256": "7b0eda1857046cc8b17b38dc4a2178803a8c7e689cb9ad4e7102c53897f995e2",
-      "bytes": 527033,
-      "rows": 17,
-      "revision": "f558ca91eaaf92bde47467d0146892a26eeaeb34"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00004992-n000004-0000-9f2139e4c73e82a3.parquet",
-      "sha256": "9f2139e4c73e82a3da5510e4d66bc9535509c8522d73d7ac9c9f0de3042ca85b",
-      "bytes": 149275,
-      "rows": 11,
-      "revision": "f558ca91eaaf92bde47467d0146892a26eeaeb34"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004993.lean\",\"a9c2b7882c6d3121c0add918dabdc7cb47829e2b2c891dea254e0032b48a24bf\",0,\"lean_workbook_44476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004994.lean\",\"ddf1c4eb8b0365e7a81924c0caf40175e91d5cef1bd084f762b31c11bf5cf81b\",0,\"lean_workbook_plus_57697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004995.lean\",\"a1253a1b8bf4456812489746f5f5938be83cf2ef4c525423af9e0c59f149a8e1\",0,\"lean_workbook_plus_65686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 527033,
+      "path": "data/train/p90/oproofs-s00002-r00004992-n000004-0000-7b0eda1857046cc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7b0eda1857046cc8b17b38dc4a2178803a8c7e689cb9ad4e7102c53897f995e2"
+    },
+    {
+      "bytes": 149275,
+      "path": "data/internal_test/p90/oproofs-s00002-r00004992-n000004-0000-9f2139e4c73e82a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9f2139e4c73e82a3da5510e4d66bc9535509c8522d73d7ac9c9f0de3042ca85b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00004996-n000004.json b/manifests/batches/oproofs/s00002-r00004996-n000004.json
index ad678d50e83e09e6f7c92caf302582af0a927ddb..31e1dead1a2db1344b5a1a026839eb7e7442b932 100644
--- a/manifests/batches/oproofs/s00002-r00004996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00004996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00004996-n000004",
   "batch_fingerprint": "b86aede6fa46c1dab1629206aa905c514e9e8cfc6cc574ddbc29fb639d77560f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00004996-n000004-0000-678f2d43c6651098.parquet",
-      "sha256": "678f2d43c665109803e1688c7639ad84639b6f66ff2c4a29150917f75f099c51",
-      "bytes": 218833,
-      "rows": 20,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:4997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004997.lean\",\"cd44b20130c1a4a626a1cf59e1557d3f73743521930960bec3c044fede4358ef\",0,\"lean_workbook_plus_45617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004998.lean\",\"8ab4000a8114f73624dbdf57ae8f9c841711a13116fa3741be606f2cd2812693\",0,\"lean_workbook_plus_30110\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_004999.lean\",\"8d7b40b532e128b4c15d50a0973b63d7a837b4f815f0b7dc1a9556f7ec71512c\",0,\"lean_workbook_plus_13678\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218833,
+      "path": "data/train/p1b/oproofs-s00002-r00004996-n000004-0000-678f2d43c6651098.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "678f2d43c665109803e1688c7639ad84639b6f66ff2c4a29150917f75f099c51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005000-n000004.json b/manifests/batches/oproofs/s00002-r00005000-n000004.json
index 054e2ffd651610a6900ce5f422b70d0127b502a5..82a237c1e0e860972562cba9e9dcab4a5a827f45 100644
--- a/manifests/batches/oproofs/s00002-r00005000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005000-n000004",
   "batch_fingerprint": "e07adba7e7348b23e46dbdbdffe8d498140bccbb2051ab9a58caf299a36c4541",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005000-n000004-0000-a8489c24b75593f3.parquet",
-      "sha256": "a8489c24b75593f3a64ffc47c79dc4c3c13a5fe1ce4cd31af13fa0f3c69788f3",
-      "bytes": 414839,
-      "rows": 15,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005000-n000004-0000-23ca769bbc4b73ea.parquet",
-      "sha256": "23ca769bbc4b73eaf72d1173fa1af339109486b379c5e8377493f326d0250e0c",
-      "bytes": 39581,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5001",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005001.lean\",\"e80c45cfd013239991bfa35483857d99ecb192da79c2367e2e811a59ab2bf75c\",0,\"cube_diagonal_angle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005002.lean\",\"0cc3625edae23cb72fb7e42f93eda1aad6b099eb826e7050cd677f8212fe1694\",0,\"lean_workbook_41956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005003.lean\",\"b3e246d9358261aeab7b82a08685b9a0fc09b193a5004538f509541726ecdc58\",0,\"lean_workbook_plus_32865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414839,
+      "path": "data/train/p0d/oproofs-s00002-r00005000-n000004-0000-a8489c24b75593f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a8489c24b75593f3a64ffc47c79dc4c3c13a5fe1ce4cd31af13fa0f3c69788f3"
+    },
+    {
+      "bytes": 39581,
+      "path": "data/internal_test/p0d/oproofs-s00002-r00005000-n000004-0000-23ca769bbc4b73ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "23ca769bbc4b73eaf72d1173fa1af339109486b379c5e8377493f326d0250e0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005004-n000004.json b/manifests/batches/oproofs/s00002-r00005004-n000004.json
index 43d80781c86dc66acbffefca66d2fb0600538fb2..6f95acce4d71c81b1e7e7aa317274df25a9da06c 100644
--- a/manifests/batches/oproofs/s00002-r00005004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005004-n000004",
   "batch_fingerprint": "79934ef2606f1b3df8ccd413872ab3bf9ed6e290e12327c8a5805f233f3142e5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005004-n000004-0000-466c8981bfa899c3.parquet",
-      "sha256": "466c8981bfa899c39ba9db7a092a1a86b5b672836305426b2f71b9af3c67abf3",
-      "bytes": 362127,
-      "rows": 26,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5005",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005005.lean\",\"0257efcd611e444ac0e561b21ffa1f7954eb2db97d55cee3b7018a6fef327e82\",0,\"lean_workbook_20133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005006.lean\",\"b71178bc977f7152df22188b3cdee284bc93705a5278f3afca4ea92766f285f8\",0,\"lean_workbook_plus_51766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005007.lean\",\"119ee6c2e2c2d07c8f72dab555f3488e1a911d2dc41dbd98d6fb5f77f2e2d924\",0,\"lean_workbook_11582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362127,
+      "path": "data/train/pbd/oproofs-s00002-r00005004-n000004-0000-466c8981bfa899c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "466c8981bfa899c39ba9db7a092a1a86b5b672836305426b2f71b9af3c67abf3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005008-n000004.json b/manifests/batches/oproofs/s00002-r00005008-n000004.json
index ed40caf6119931fcdf8f7ed8fb07e6046f77518a..f633e792562cf244b75e6bafe4a65a7a80d902e0 100644
--- a/manifests/batches/oproofs/s00002-r00005008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005008-n000004",
   "batch_fingerprint": "b7c6548209dbc750d515de7d6ccbfcdf9b9aa7c357da7e5d8d96a692c2420d9e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005008-n000004-0000-3553ac65adb7f073.parquet",
-      "sha256": "3553ac65adb7f0733cfacef8c5a3732174b6aba8c5f895d366629b2a107c1435",
-      "bytes": 115965,
-      "rows": 14,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5009",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005009.lean\",\"29b8756da7b7367d64fe0cfffbd8e312bd62af087652f549d047a1a2842c87a0\",0,\"lean_workbook_plus_55178\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005010.lean\",\"392d9e0bec32783b0d80503350d30d4c36595c1a3d74b0a1690ead8fc15de8b4\",0,\"complex_imag_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005011.lean\",\"9ca679d9e913fcc49f98f6a094ad9c264ac405bfd7faf914459a4213a525a7aa\",0,\"lean_workbook_plus_10014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115965,
+      "path": "data/train/pef/oproofs-s00002-r00005008-n000004-0000-3553ac65adb7f073.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3553ac65adb7f0733cfacef8c5a3732174b6aba8c5f895d366629b2a107c1435"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005012-n000004.json b/manifests/batches/oproofs/s00002-r00005012-n000004.json
index fc204c7e3dbb9395aa40b1d3061c0785d7b28a08..19b2ac05bb33a7a96385e4b488ae7a4848dd82dd 100644
--- a/manifests/batches/oproofs/s00002-r00005012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005012-n000004",
   "batch_fingerprint": "1f68328eafab0fc65c8bb6444a933cdf999dfe55ab06202e95cbb8f7e0e89099",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005012-n000004-0000-3d7edb264f0990c1.parquet",
-      "sha256": "3d7edb264f0990c188a84fbf296d2f2aa79bc24d994fbaa4e16944c8bb68c30a",
-      "bytes": 245378,
-      "rows": 20,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005012-n000004-0000-d3e9f04968bbb0fb.parquet",
-      "sha256": "d3e9f04968bbb0fbc4eaa85da694130ca7b27ebcbd7e575c84139959387c8ffc",
-      "bytes": 69396,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005013.lean\",\"1769fb7d2924e70a7ae773624dc96535c5bbe2a82d6713965dac144b5bae2da2\",0,\"lean_workbook_plus_25819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005014.lean\",\"aef04f74d03364cd4c86e05931f9b9dbfff6fce1b489b3e56013a4964f845a5a\",0,\"lean_workbook_plus_8761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005015.lean\",\"0ddcba5ddb19c83a471797d517a72256fb371e75b4f5459bcd3fba6972602f26\",0,\"parabola_properties_and_area\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245378,
+      "path": "data/train/p09/oproofs-s00002-r00005012-n000004-0000-3d7edb264f0990c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3d7edb264f0990c188a84fbf296d2f2aa79bc24d994fbaa4e16944c8bb68c30a"
+    },
+    {
+      "bytes": 69396,
+      "path": "data/dev/p09/oproofs-s00002-r00005012-n000004-0000-d3e9f04968bbb0fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d3e9f04968bbb0fbc4eaa85da694130ca7b27ebcbd7e575c84139959387c8ffc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005016-n000004.json b/manifests/batches/oproofs/s00002-r00005016-n000004.json
index 733f777b89d10e5030e1f5d6dbdae183fa596de2..36260ab91570428e60255a2e53abccb4a5cac5f5 100644
--- a/manifests/batches/oproofs/s00002-r00005016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005016-n000004",
   "batch_fingerprint": "7268b1007323f239239a420313b417f81b5ae1c2faca38847f13f9fd85328aa0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005016-n000004-0000-3010dc2fc2e3f40d.parquet",
-      "sha256": "3010dc2fc2e3f40dee68edfaaf66e1a9fde0d69f91e242fab18927fcace7b516",
-      "bytes": 187275,
-      "rows": 18,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005017.lean\",\"dbcb6106f14730fb0bab3c9bc4461c3c7b24c4223f3ffde14e91966b8f866700\",0,\"lean_workbook_plus_15504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005018.lean\",\"e182e0d35b02f49338895e3f38d6032641897df6209fa72d17683ae9ab73a50a\",0,\"lean_workbook_25402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005019.lean\",\"7fac5266b490ac0ad3d39e6831c7c59b4b3f7b2aa4a04ed97f9106bf660dae58\",0,\"lean_workbook_plus_60669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187275,
+      "path": "data/train/p8f/oproofs-s00002-r00005016-n000004-0000-3010dc2fc2e3f40d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3010dc2fc2e3f40dee68edfaaf66e1a9fde0d69f91e242fab18927fcace7b516"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005020-n000004.json b/manifests/batches/oproofs/s00002-r00005020-n000004.json
index 4242fd952f595a8b5fa539090422185923abdf2e..182e1e2f6afe37a11c02682c26d7be77cd7f3e12 100644
--- a/manifests/batches/oproofs/s00002-r00005020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005020-n000004",
   "batch_fingerprint": "31a636e7c74bee202e460f1da774faeef8a6f23f81c6e5a5c12086ff544b7398",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5020",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5021",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5022",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5023"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005020.lean\",\"4c573b1a33c5bebee83ce954a300014c6945617f96efe5d88935ed7a6be75d07\",0,\"lean_workbook_plus_77411\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005021.lean\",\"4f5850f964bd3fe309f378a43109dba1befed77e0f9664a73b8bb2640414c098\",0,\"lean_workbook_plus_32560\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005022.lean\",\"d6db1bb401d081be96e6959ae99864d3365b79a0b190bc567f3d5f6b0c6b987a\",0,\"lean_workbook_plus_47107\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005023.lean\",\"92634dfd8b8df94054ecceec52ed337ea7c3ca9c8fcacc5594054f3a98cec1e0\",0,\"lean_workbook_plus_29602\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005020-n000004-0000-8bea3b8fe03bcbb2.parquet",
-      "sha256": "8bea3b8fe03bcbb2466c66feba8d55230fead1376f4f7eb2deec2d32f02b13d7",
       "bytes": 104409,
+      "path": "data/train/pb4/oproofs-s00002-r00005020-n000004-0000-8bea3b8fe03bcbb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "8bea3b8fe03bcbb2466c66feba8d55230fead1376f4f7eb2deec2d32f02b13d7"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005020-n000004-0000-f9ccce6b5e991c32.parquet",
-      "sha256": "f9ccce6b5e991c32a3695493552d5fdaf828b3983370fa816ead4ebe49202f7c",
       "bytes": 58937,
+      "path": "data/dev/pb4/oproofs-s00002-r00005020-n000004-0000-f9ccce6b5e991c32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "f9ccce6b5e991c32a3695493552d5fdaf828b3983370fa816ead4ebe49202f7c"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005020-n000004-0000-c0d6f863598afa2f.parquet",
-      "sha256": "c0d6f863598afa2f6538adc33456d6eb2391eab5c37a30b7d5ff4a14afaac968",
       "bytes": 68472,
+      "path": "data/internal_test/pb4/oproofs-s00002-r00005020-n000004-0000-c0d6f863598afa2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "c0d6f863598afa2f6538adc33456d6eb2391eab5c37a30b7d5ff4a14afaac968"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5020",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5021",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5022",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5023"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005020.lean\",\"4c573b1a33c5bebee83ce954a300014c6945617f96efe5d88935ed7a6be75d07\",0,\"lean_workbook_plus_77411\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005021.lean\",\"4f5850f964bd3fe309f378a43109dba1befed77e0f9664a73b8bb2640414c098\",0,\"lean_workbook_plus_32560\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005022.lean\",\"d6db1bb401d081be96e6959ae99864d3365b79a0b190bc567f3d5f6b0c6b987a\",0,\"lean_workbook_plus_47107\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005023.lean\",\"92634dfd8b8df94054ecceec52ed337ea7c3ca9c8fcacc5594054f3a98cec1e0\",0,\"lean_workbook_plus_29602\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005024-n000004.json b/manifests/batches/oproofs/s00002-r00005024-n000004.json
index 35c06af0c2d2e9b01c7b860a25d78ecb7a6d457f..0c0455c590e5df373e0530f6cca5361e7341dfb4 100644
--- a/manifests/batches/oproofs/s00002-r00005024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005024-n000004",
   "batch_fingerprint": "0b5f2780df6b019a9d46f9f2b492200b375d71d08c8a64768c0b82dcc34087c4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005024-n000004-0000-757064ebfba6ce5d.parquet",
-      "sha256": "757064ebfba6ce5da9e3d6b9be2a7195d7f73c7aafabc4fb75a45449696ede29",
-      "bytes": 119579,
-      "rows": 14,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005024-n000004-0000-0144dc8cfc8279d3.parquet",
-      "sha256": "0144dc8cfc8279d31e1310e5fc4a88891f414afe14da5ec7338e16734ca90d39",
-      "bytes": 51647,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005025.lean\",\"14e532bfab3706cfbf65e7ee11ec9cfd92579e4b734593ab6bee6f79c76e3fb0\",0,\"lean_workbook_plus_56801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005026.lean\",\"170a9dd52a24488eb51f59a843b297e5084ad4e547505523d055b56187719b6f\",0,\"lean_workbook_plus_28456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005027.lean\",\"3c8bb9157f8ce77cc50268d42ef676a42cfb6d41bf8e8020384aa5cce0c0c525\",0,\"lean_workbook_plus_68810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119579,
+      "path": "data/train/p4b/oproofs-s00002-r00005024-n000004-0000-757064ebfba6ce5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "757064ebfba6ce5da9e3d6b9be2a7195d7f73c7aafabc4fb75a45449696ede29"
+    },
+    {
+      "bytes": 51647,
+      "path": "data/internal_test/p4b/oproofs-s00002-r00005024-n000004-0000-0144dc8cfc8279d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0144dc8cfc8279d31e1310e5fc4a88891f414afe14da5ec7338e16734ca90d39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005028-n000004.json b/manifests/batches/oproofs/s00002-r00005028-n000004.json
index ab663ade97dfdb6dad9cbc93d945496074eaf16b..f9e14c3dcf57c444bd5a703cabccbab355413ad8 100644
--- a/manifests/batches/oproofs/s00002-r00005028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005028-n000004",
   "batch_fingerprint": "9bad82bb502164e1a8b5d06e55155be5ddc475519723075fcfa27cce782a8d5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005028-n000004-0000-46ff4eded0181ae0.parquet",
-      "sha256": "46ff4eded0181ae06b8592e416e3e15222559c946d3c33eeba5d65acd1e575e8",
-      "bytes": 176718,
-      "rows": 12,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005028-n000004-0000-5f38ba223c7c04a1.parquet",
-      "sha256": "5f38ba223c7c04a1b133ac2bf44c7b5fb4e73ed2246414420b0c7ccfc4e611ab",
-      "bytes": 52350,
-      "rows": 4,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005029.lean\",\"8edcd6233a1da34f56ffbb49c406d4be846a882db434a9777ab1cfbaf69fe534\",0,\"lean_workbook_plus_23223\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005030.lean\",\"aa3104c4f758a613753764fac29d154eadc4b973673e400b16e5dea0cb0f95eb\",0,\"lean_workbook_plus_11155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005031.lean\",\"a5de8187f5c507f262be7e8a0a6d71d5511c00768bf7af40921772cb3ec5886d\",0,\"lean_workbook_plus_5592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176718,
+      "path": "data/train/p58/oproofs-s00002-r00005028-n000004-0000-46ff4eded0181ae0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "46ff4eded0181ae06b8592e416e3e15222559c946d3c33eeba5d65acd1e575e8"
+    },
+    {
+      "bytes": 52350,
+      "path": "data/dev/p58/oproofs-s00002-r00005028-n000004-0000-5f38ba223c7c04a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5f38ba223c7c04a1b133ac2bf44c7b5fb4e73ed2246414420b0c7ccfc4e611ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005032-n000004.json b/manifests/batches/oproofs/s00002-r00005032-n000004.json
index a1f8eea59383be78ed5c46c1efcc28b4c52fbee1..5564c548c8dfed1da2c5489a68f251ffebded9be 100644
--- a/manifests/batches/oproofs/s00002-r00005032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005032-n000004",
   "batch_fingerprint": "8673dba0a0758ddbbfa22b1b56ae2bd251a5c712c48e63975924559800f26f92",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005032-n000004-0000-19dad1818c8f0ea5.parquet",
-      "sha256": "19dad1818c8f0ea5d85c5a8b9835ca1fa4e1f1c46827732b74230dcb9b6b788f",
-      "bytes": 117405,
-      "rows": 9,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005032-n000004-0000-76f61201cb322d4d.parquet",
-      "sha256": "76f61201cb322d4dce3f3d29f943909c553d2a8d60d26d8104054139f4cb7d38",
-      "bytes": 50831,
-      "rows": 5,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005033.lean\",\"603a5002af2b9c6550564b67f013f4ef403f229634566ab96247d1e4ef8a1c76\",0,\"lean_workbook_plus_13366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005034.lean\",\"9a465fb1c0a97f1c330d3c90f25ebc20e4f6a81eb3e271cf93dc86b3b7e70ee0\",0,\"lean_workbook_plus_56203\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005035.lean\",\"7f78aef20d38242c8b55884a226234abcd951593bc4645bc736f34869ad4aaf9\",0,\"lean_workbook_plus_50762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117405,
+      "path": "data/train/pc3/oproofs-s00002-r00005032-n000004-0000-19dad1818c8f0ea5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "19dad1818c8f0ea5d85c5a8b9835ca1fa4e1f1c46827732b74230dcb9b6b788f"
+    },
+    {
+      "bytes": 50831,
+      "path": "data/internal_test/pc3/oproofs-s00002-r00005032-n000004-0000-76f61201cb322d4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "76f61201cb322d4dce3f3d29f943909c553d2a8d60d26d8104054139f4cb7d38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005036-n000004.json b/manifests/batches/oproofs/s00002-r00005036-n000004.json
index 0fb419e17e296849927a8fbbced26592326479dd..c42a0cc6a5e829d9a801b11c4eb15f1f99a28095 100644
--- a/manifests/batches/oproofs/s00002-r00005036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005036-n000004",
   "batch_fingerprint": "462ed02e68b50d83cb1b5c4c60ce54dd571e2f86e7a107abe2c8cd8ab4a2261a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5036",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5037",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5038",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5039"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005036.lean\",\"0152a4b934cdaa0e0c59b542922f882eaa236987cf8ab2e84fe7b80c29b4c1a5\",0,\"lean_workbook_plus_49789\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005037.lean\",\"aa8d78a9583cb1f688dd18769c29cbec081eadde946496601968106598dcf961\",0,\"lean_workbook_18728\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005038.lean\",\"a1b8ab1b1f79c92801438e4b7e75863a5d250610c0d76b0559e3ae18f115b050\",0,\"lean_workbook_plus_23773\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005039.lean\",\"a6462d10d06c14ddd9a4938029ea76df220c66a056556fc5e767895034a03cc1\",0,\"lean_workbook_plus_67908\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005036-n000004-0000-502e3cca0ab96cee.parquet",
-      "sha256": "502e3cca0ab96ceeab2298a6f9e299384c6f1231b26a0b9706ab7f6aa4809a26",
       "bytes": 148657,
+      "path": "data/train/pd5/oproofs-s00002-r00005036-n000004-0000-502e3cca0ab96cee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "502e3cca0ab96ceeab2298a6f9e299384c6f1231b26a0b9706ab7f6aa4809a26"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005036-n000004-0000-9fe77eca1a20a616.parquet",
-      "sha256": "9fe77eca1a20a61622388483a2b229c9e80d16758b4ee49be040edac4fc26259",
       "bytes": 60412,
+      "path": "data/dev/pd5/oproofs-s00002-r00005036-n000004-0000-9fe77eca1a20a616.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "9fe77eca1a20a61622388483a2b229c9e80d16758b4ee49be040edac4fc26259"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005036-n000004-0000-12f75667782947eb.parquet",
-      "sha256": "12f75667782947eb06007e9b71d0c12f501a60f7551d569f449e8281fa581575",
       "bytes": 69667,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00005036-n000004-0000-12f75667782947eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
+      "sha256": "12f75667782947eb06007e9b71d0c12f501a60f7551d569f449e8281fa581575"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5036",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5037",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5038",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5039"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005036.lean\",\"0152a4b934cdaa0e0c59b542922f882eaa236987cf8ab2e84fe7b80c29b4c1a5\",0,\"lean_workbook_plus_49789\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005037.lean\",\"aa8d78a9583cb1f688dd18769c29cbec081eadde946496601968106598dcf961\",0,\"lean_workbook_18728\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005038.lean\",\"a1b8ab1b1f79c92801438e4b7e75863a5d250610c0d76b0559e3ae18f115b050\",0,\"lean_workbook_plus_23773\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005039.lean\",\"a6462d10d06c14ddd9a4938029ea76df220c66a056556fc5e767895034a03cc1\",0,\"lean_workbook_plus_67908\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005040-n000004.json b/manifests/batches/oproofs/s00002-r00005040-n000004.json
index c31a60dd370e5d69a0882129cee222a87e679271..1de67bcdcf3ef37ece3fcfc25cbbb7616d37e7fa 100644
--- a/manifests/batches/oproofs/s00002-r00005040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005040-n000004",
   "batch_fingerprint": "738b1530ace51ea7bb7aa93caebe54dd0d4b7e3f4048e1b6fcf0afadfa38ba77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005040-n000004-0000-ae2c080f335ffe91.parquet",
-      "sha256": "ae2c080f335ffe914754e9bf8d479ae4e40a6dccfde5ecb2a8a08029c8eb2366",
-      "bytes": 316851,
-      "rows": 19,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005040-n000004-0000-93b56410b17cd389.parquet",
-      "sha256": "93b56410b17cd389c79dbfdb2431b69d12757f4b0950b5be372d8b5e97359f16",
-      "bytes": 102933,
-      "rows": 5,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5041",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005041.lean\",\"5da5338765ba0cd3c3d6aec55d7a4498b07a59f4cd1b8d289d9838747f46c744\",0,\"lean_workbook_plus_15826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005042.lean\",\"ae6e300e769595f5638552d0809a4148237450a5e9e5f114a14486ce98c3b9d3\",0,\"nadia_walking_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005043.lean\",\"38769081ec8f50acfd1dcf2ef7dce3be84b298a0ee5adf8957888ef8675d118c\",0,\"lean_workbook_plus_38836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316851,
+      "path": "data/train/p8d/oproofs-s00002-r00005040-n000004-0000-ae2c080f335ffe91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ae2c080f335ffe914754e9bf8d479ae4e40a6dccfde5ecb2a8a08029c8eb2366"
+    },
+    {
+      "bytes": 102933,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00005040-n000004-0000-93b56410b17cd389.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "93b56410b17cd389c79dbfdb2431b69d12757f4b0950b5be372d8b5e97359f16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005044-n000004.json b/manifests/batches/oproofs/s00002-r00005044-n000004.json
index 52721b2f5bff2187610f89412b9d5c1f9618159a..f76219d2b846d33c15774f43374058eadd4b65b0 100644
--- a/manifests/batches/oproofs/s00002-r00005044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005044-n000004",
   "batch_fingerprint": "84b09a96c9ac67e59f5c3a77624cd27dcf782f9127d11db1858faddc78213d16",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005044-n000004-0000-be28372f7431870a.parquet",
-      "sha256": "be28372f7431870a275f2d256a13f5116f70f9d6aeeb79acc178bab03b020ca0",
-      "bytes": 879463,
-      "rows": 34,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5045",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005045.lean\",\"a2e5081f277411ea1b9c687940a906bebca2298d09e1dc48041482253b23d627\",0,\"lean_workbook_plus_2425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005046.lean\",\"f4da0d7eb0258a6275af75533c2652e32af6a7d607aa8103c81ceba4bad45f85\",0,\"lean_workbook_plus_74133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005047.lean\",\"ac82c24a0778d420cf01e1a670f4b026157fa6be96f5c54e2bb56d5d0eabd8bb\",0,\"lean_workbook_plus_22319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 879463,
+      "path": "data/train/pe8/oproofs-s00002-r00005044-n000004-0000-be28372f7431870a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "be28372f7431870a275f2d256a13f5116f70f9d6aeeb79acc178bab03b020ca0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005048-n000004.json b/manifests/batches/oproofs/s00002-r00005048-n000004.json
index 012acb3989a3de54e3fdc658eb657b2ce40261ce..9b799337cafc155bf6e1b8c29762705086e8ed05 100644
--- a/manifests/batches/oproofs/s00002-r00005048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005048-n000004",
   "batch_fingerprint": "5306edc8d048e02a2c4df717572c32503335d41a32aa142fb21e6f10a3573cbf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005048-n000004-0000-5dbf3b0f51090c1a.parquet",
-      "sha256": "5dbf3b0f51090c1a913d9947427c6f826fddc10c130c5d02a2cc3b00b15c91c6",
-      "bytes": 296351,
-      "rows": 20,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5049",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005049.lean\",\"2ddb1b5a592a1d4c952cd428a50a71d530df178f20ce91b006f4e7ac2ced9727\",0,\"lean_workbook_plus_57256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005050.lean\",\"232cd84d88323255d1c4e39acead064c19e93ddfa0062f60bc7323cd0a40297f\",0,\"lean_workbook_plus_22316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005051.lean\",\"f9bc86666e8ba995e50c0ea6122a6d8acff4e2b71323b34fd58f09bcfa31decf\",0,\"lean_workbook_plus_48771\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296351,
+      "path": "data/train/pfd/oproofs-s00002-r00005048-n000004-0000-5dbf3b0f51090c1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5dbf3b0f51090c1a913d9947427c6f826fddc10c130c5d02a2cc3b00b15c91c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005052-n000004.json b/manifests/batches/oproofs/s00002-r00005052-n000004.json
index 81ac6a3b243bbd4a2b37ef07eb5d0e1d724db2e7..fbae2b34da00437bfa95b4f1d61ccc35c2f57d6e 100644
--- a/manifests/batches/oproofs/s00002-r00005052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005052-n000004",
   "batch_fingerprint": "5a572551db395d8a1adc32b0dcb2a0544da69bcecf328ef84eac95712c519e4e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005052-n000004-0000-6d3f43ea9eea6a16.parquet",
-      "sha256": "6d3f43ea9eea6a1693ddcc46e01037afd47f998ab7ddafc987ced3511773a47a",
-      "bytes": 481354,
-      "rows": 20,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005053.lean\",\"c0abcbe0042e0c7ec84824b1f8c18e02517cc05ec1e9094b6d7791dd9fdc72fc\",0,\"lean_workbook_1344\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005054.lean\",\"4a2aacd530e3b148eb5f6157805576f72d735092a416208b968d1c73d11ebeaf\",0,\"lean_workbook_plus_59786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005055.lean\",\"befd89c51fc7afb53bd7194b42b7f9bbf8a9432575ed49d0ed368addfc84f4cb\",0,\"lean_workbook_plus_34830\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 481354,
+      "path": "data/train/p38/oproofs-s00002-r00005052-n000004-0000-6d3f43ea9eea6a16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6d3f43ea9eea6a1693ddcc46e01037afd47f998ab7ddafc987ced3511773a47a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005056-n000004.json b/manifests/batches/oproofs/s00002-r00005056-n000004.json
index cdd41d45d56e1725816f2c710c56d91e99d9b565..c4207ab91c691473767f997470c60808d6143ed6 100644
--- a/manifests/batches/oproofs/s00002-r00005056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005056-n000004",
   "batch_fingerprint": "6c93f35ee18ad22dfe8cece36acc16d7a0f5e0e2aaab841a866716bb1b83a57f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005056-n000004-0000-7de5ffea96ce73f1.parquet",
-      "sha256": "7de5ffea96ce73f14eb55ae88aa755652ce5be01bcdc2da242e2970d702f64ae",
-      "bytes": 308736,
-      "rows": 19,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005057.lean\",\"fc26059eb06dc40fde283e54dc55463f5a19e960fbbb2f84a54bfa7061f7a06b\",0,\"lean_workbook_52866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005058.lean\",\"3516fa79de0a954ee001069e488d5d90cc517d21cd15a367805831c7ecf5eded\",0,\"lean_workbook_plus_14707\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005059.lean\",\"57eab01474806bb2c7b98cfbe2a1c98f3d99173be05681a07b77a5b498c6df4b\",0,\"lean_workbook_plus_69274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308736,
+      "path": "data/train/p3b/oproofs-s00002-r00005056-n000004-0000-7de5ffea96ce73f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7de5ffea96ce73f14eb55ae88aa755652ce5be01bcdc2da242e2970d702f64ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005060-n000004.json b/manifests/batches/oproofs/s00002-r00005060-n000004.json
index 71f76259b5a71f071f5ba83527fbcd763b825817..decb4d8e49c2afe4bee2b9572de26f63248177fe 100644
--- a/manifests/batches/oproofs/s00002-r00005060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005060-n000004",
   "batch_fingerprint": "82c02b56a903cecf4ba6cf1284fdd24fd2fd86d8ce249bfa81554217880ca358",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005060-n000004-0000-9d62ea010651ad1f.parquet",
-      "sha256": "9d62ea010651ad1ff628585d4a1862ecd2acbdc8baeea4883baa1d2be2667e44",
-      "bytes": 234301,
-      "rows": 12,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005061.lean\",\"912cb7643e8370a9ac206c841213920db73903f8957fde0ceac4ef54b277c7e9\",0,\"lean_workbook_plus_51251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005062.lean\",\"9ad7ffbbbf0277e9ea2d7abf44ba7f8d0fc11452decaec16f744a2204c37f8e8\",0,\"lean_workbook_plus_38060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005063.lean\",\"3f15a0dea95819f7c6360c6776a9c0518fdb533ea71b48f2d061edb95530398b\",0,\"lean_workbook_plus_26422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234301,
+      "path": "data/train/p5b/oproofs-s00002-r00005060-n000004-0000-9d62ea010651ad1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9d62ea010651ad1ff628585d4a1862ecd2acbdc8baeea4883baa1d2be2667e44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005064-n000004.json b/manifests/batches/oproofs/s00002-r00005064-n000004.json
index 20b59eb7b53e06cb4c5ae1a1b454621ef899e8d5..4c738ec039f057626e44bf45508328955f8840e3 100644
--- a/manifests/batches/oproofs/s00002-r00005064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005064-n000004",
   "batch_fingerprint": "fd31142b58a8da32cb0fd75828f43820675b08a0821362bf78681cb485f67d8b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005064-n000004-0000-e87df9fa67d65239.parquet",
-      "sha256": "e87df9fa67d6523949f01c4c2d71404856a23e6432af306ef7e5457bd0712682",
-      "bytes": 357705,
-      "rows": 14,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5065",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005065.lean\",\"6768e3fbc587d3083dd7c81808e4dd4ad704179a621c3faf49802a6ce945631d\",0,\"lean_workbook_plus_57433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005066.lean\",\"7d393cf355977a5ffcf1065402872d88cc69e9ac9c35d39ff69bd69994af93d3\",0,\"lean_workbook_plus_75924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005067.lean\",\"cd5212ad7f4beff1b442631d4f8385f1018e8ffc9f45d27691f174ec973fe757\",0,\"lean_workbook_44476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357705,
+      "path": "data/train/p0d/oproofs-s00002-r00005064-n000004-0000-e87df9fa67d65239.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e87df9fa67d6523949f01c4c2d71404856a23e6432af306ef7e5457bd0712682"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005068-n000004.json b/manifests/batches/oproofs/s00002-r00005068-n000004.json
index f4216a5b2a6189273e3a496ae08671e2f929cf0d..0df11f82109d8f30c959804de8d091e63a62f5bd 100644
--- a/manifests/batches/oproofs/s00002-r00005068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005068-n000004",
   "batch_fingerprint": "31e21d9ba5b0fa108088b41bda3857a2398f56bc9cc17e0fada92cd4b6a1107f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005068-n000004-0000-3a3fa3564a1c0907.parquet",
-      "sha256": "3a3fa3564a1c09075cbf9b821d7f5f3d1a72d08f293c5302777b18f155f9b5c7",
-      "bytes": 98182,
-      "rows": 7,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005068-n000004-0000-857302475535518c.parquet",
-      "sha256": "857302475535518c44ff16408359bcf875d9b56e7e4a5d4db195549a4307856a",
-      "bytes": 72047,
-      "rows": 9,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005069.lean\",\"08d43341aaeff9684edc008f909e3b3ff03e7c22753f47131e32b873aa1d094a\",0,\"lean_workbook_plus_57697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005070.lean\",\"c32678d94b5fee30394ba57a9b77e7812d672f3bc04e60f9902594da7db1a2ab\",0,\"lean_workbook_plus_65686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005071.lean\",\"78b87cbb36b4ce18b5e528cfe084e9ff3fe55f2a32212b077feb00b1b9319fbf\",0,\"lean_workbook_plus_44559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98182,
+      "path": "data/train/p1d/oproofs-s00002-r00005068-n000004-0000-3a3fa3564a1c0907.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3a3fa3564a1c09075cbf9b821d7f5f3d1a72d08f293c5302777b18f155f9b5c7"
+    },
+    {
+      "bytes": 72047,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00005068-n000004-0000-857302475535518c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "857302475535518c44ff16408359bcf875d9b56e7e4a5d4db195549a4307856a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005072-n000004.json b/manifests/batches/oproofs/s00002-r00005072-n000004.json
index 19a3a03022291a3e4390c32491ca21aa5b6f2fff..59248aa4cd99bba0bd16df46507a0f7bb8a020e2 100644
--- a/manifests/batches/oproofs/s00002-r00005072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005072-n000004",
   "batch_fingerprint": "bf00ed0be3a264c486a699cbd332eeba7bfb0ae642be811b2457a3d298b7d53d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005072-n000004-0000-a28eb986b521d1f2.parquet",
-      "sha256": "a28eb986b521d1f2532669cf98a4c364dd59843ea40348259b0aab8ae638f63e",
-      "bytes": 101738,
-      "rows": 15,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005073.lean\",\"d052a346c2ad9ba9719bae0846c1d378c4e0442ab8802452699880774a573abc\",0,\"lean_workbook_plus_22443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005074.lean\",\"bbec34e75eef2b74c0d2ce20e2db9989d6a3bb22072e94390b358c7885dbcee8\",0,\"lean_workbook_plus_17117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005075.lean\",\"e11fd8bbf03231693139811ccb2e608bdd507386195516c2fcac1a569b4bc160\",0,\"lean_workbook_plus_75734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101738,
+      "path": "data/train/pce/oproofs-s00002-r00005072-n000004-0000-a28eb986b521d1f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a28eb986b521d1f2532669cf98a4c364dd59843ea40348259b0aab8ae638f63e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005076-n000004.json b/manifests/batches/oproofs/s00002-r00005076-n000004.json
index ad3cc5dd97a317e68528c7eead3e52adb03625d1..21529740709a4fb600c448c29349567caacae4db 100644
--- a/manifests/batches/oproofs/s00002-r00005076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005076-n000004",
   "batch_fingerprint": "123c50ad6589337934265bfc87eecfa742d71beee6d4bcec02018945b51b59a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005076-n000004-0000-c726e6b92c76c541.parquet",
-      "sha256": "c726e6b92c76c54104b81ca97a6a9d803516dd09e5732a3a3079c1241a7f1287",
-      "bytes": 220573,
-      "rows": 19,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005076-n000004-0000-3b4d1b8a725c4a5f.parquet",
-      "sha256": "3b4d1b8a725c4a5fc0e26a91e41695e3decfaf51911cf38f4a528902b8d93e88",
-      "bytes": 37970,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005077.lean\",\"47fb88a9e01beb9094f6cd45b815ce3e1eb22be34e3694e3e928011762e12d31\",0,\"lean_workbook_plus_43779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005078.lean\",\"e7a1f7e49799a65e93e9c716bfc1cdc416bc423879ce33182a095a4372ddfd5a\",0,\"lean_workbook_plus_81103\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005079.lean\",\"c59fbc96ed740943858a4fb484a7bc44642a0d41e3c5919419c07ad6a0d57625\",0,\"lean_workbook_plus_32865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220573,
+      "path": "data/train/p83/oproofs-s00002-r00005076-n000004-0000-c726e6b92c76c541.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c726e6b92c76c54104b81ca97a6a9d803516dd09e5732a3a3079c1241a7f1287"
+    },
+    {
+      "bytes": 37970,
+      "path": "data/internal_test/p83/oproofs-s00002-r00005076-n000004-0000-3b4d1b8a725c4a5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3b4d1b8a725c4a5fc0e26a91e41695e3decfaf51911cf38f4a528902b8d93e88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005080-n000004.json b/manifests/batches/oproofs/s00002-r00005080-n000004.json
index 423fa617bc62a764938642c5d2f3812036cae9e3..41b06a33a3931fefaa5ad53217f0ebd77392fb60 100644
--- a/manifests/batches/oproofs/s00002-r00005080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005080-n000004",
   "batch_fingerprint": "14e421c99a843886c3fb5ddfb2bbd33db66f953495390e6d6e7a55ae6205afde",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005080-n000004-0000-189b5d6f5b55b8ef.parquet",
-      "sha256": "189b5d6f5b55b8ef7c15287c51ae7d4072f7ff5a413f329e80ebf1d66229255d",
-      "bytes": 462625,
-      "rows": 18,
-      "revision": "f558ca91eaaf92bde47467d0146892a26eeaeb34"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005081.lean\",\"3cd892f3370f93f8de3a3c2584e9e10ec8005dbc5b99f0cb900d165c9cee1cc1\",0,\"lean_workbook_plus_51766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005082.lean\",\"204293c5a26f3f53621c853f4a3348ba2ff246c248049e0bfbc9a1a81f965acd\",0,\"lean_workbook_plus_57260\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005083.lean\",\"4791ee54a3e5d66c14719b24a84bf47ded33a32509c83e811a728454bd601842\",0,\"lean_workbook_11582\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 462625,
+      "path": "data/train/p3e/oproofs-s00002-r00005080-n000004-0000-189b5d6f5b55b8ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "189b5d6f5b55b8ef7c15287c51ae7d4072f7ff5a413f329e80ebf1d66229255d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005084-n000004.json b/manifests/batches/oproofs/s00002-r00005084-n000004.json
index e721be48d66795566bea4b1dfa3e0c28270d1056..25c89f7afc2b7ad43e763217ebe654a22dc1dbaf 100644
--- a/manifests/batches/oproofs/s00002-r00005084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005084-n000004",
   "batch_fingerprint": "cbcb37274d97eed98c8926bbb04ef5892419be2fd4831cd619a06ac152b1da90",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005084-n000004-0000-a55ba2d763b99e14.parquet",
-      "sha256": "a55ba2d763b99e14ace02b5f498018450927098cde2a5d2cda7a1d9f75984d15",
-      "bytes": 104634,
-      "rows": 9,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005084-n000004-0000-17e7f20f54bdc290.parquet",
-      "sha256": "17e7f20f54bdc2904e3f7987b151831c7d567330d4fda0cbe51b22379376b5d7",
-      "bytes": 35649,
-      "rows": 2,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005085.lean\",\"88bc4c6d318280c21a8daf6730ce94b82bf8ce54bd116219aecf78eafc897663\",0,\"lean_workbook_plus_25819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005086.lean\",\"a0d82ca14029db6ed8967ea399756fb2e774f4d61444e97e26d96652df5d31ae\",0,\"lean_workbook_plus_15504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005087.lean\",\"68dac11de7a1b6b742245a57040bcb915ac094cd75e95345935c5447ad10fca7\",0,\"lean_workbook_plus_29950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104634,
+      "path": "data/train/p3a/oproofs-s00002-r00005084-n000004-0000-a55ba2d763b99e14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a55ba2d763b99e14ace02b5f498018450927098cde2a5d2cda7a1d9f75984d15"
+    },
+    {
+      "bytes": 35649,
+      "path": "data/dev/p3a/oproofs-s00002-r00005084-n000004-0000-17e7f20f54bdc290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "17e7f20f54bdc2904e3f7987b151831c7d567330d4fda0cbe51b22379376b5d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005088-n000004.json b/manifests/batches/oproofs/s00002-r00005088-n000004.json
index af0d16f0b681d41ef2721b19cac33216bf706dc9..04a7ebb90ae7f944f661f325d7fa290695405657 100644
--- a/manifests/batches/oproofs/s00002-r00005088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005088-n000004",
   "batch_fingerprint": "0b861169ae35d792794a7d25b7580e2494e160b68de9d1a540f44896eace7b95",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005088-n000004-0000-17c445f0930d27c5.parquet",
-      "sha256": "17c445f0930d27c56af700e6a3ffb6a5e26a46b21a8c9718f0bb253d50447188",
-      "bytes": 190279,
-      "rows": 15,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005088-n000004-0000-8ad53cb2623881b6.parquet",
-      "sha256": "8ad53cb2623881b6854f04ae3336d4df1442674a7d6566d9dd31e2e5feb4dffc",
-      "bytes": 35548,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005089.lean\",\"95dbf6db0344e6b72e0cf4e0ccb9fef9b1bdeaeda813c14379cbd996e9cf6c5d\",0,\"lean_workbook_26159\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005090.lean\",\"ea8c64fe3cac8151f24e19536b36d91038cae746f81023a87ce8b917eddfc5c4\",0,\"parabola_properties_and_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005091.lean\",\"25c636c5dcbc3e91b4ae7c09ec12ddc018983aa1a02ecdb84b960aaebd2dce6c\",0,\"lean_workbook_25402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190279,
+      "path": "data/train/pfa/oproofs-s00002-r00005088-n000004-0000-17c445f0930d27c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "17c445f0930d27c56af700e6a3ffb6a5e26a46b21a8c9718f0bb253d50447188"
+    },
+    {
+      "bytes": 35548,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00005088-n000004-0000-8ad53cb2623881b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8ad53cb2623881b6854f04ae3336d4df1442674a7d6566d9dd31e2e5feb4dffc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005092-n000004.json b/manifests/batches/oproofs/s00002-r00005092-n000004.json
index 28364e80237ae430fe9c24f6e2aca33acfaa1a25..76a44f1f8e0c355c7a4a9b7c738caab3c942f8fd 100644
--- a/manifests/batches/oproofs/s00002-r00005092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005092-n000004",
   "batch_fingerprint": "5ec236e2739325f82f817103a7f7227245e17bda42968b47f9380bbae5d9d6b9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005092-n000004-0000-922392459d06ee0f.parquet",
-      "sha256": "922392459d06ee0f24d69495de79275cc7bac224eb2a46cd41bebb3f16730284",
-      "bytes": 153232,
-      "rows": 15,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005092-n000004-0000-076cc6e6a42e1bcd.parquet",
-      "sha256": "076cc6e6a42e1bcd0fe0f1deef3781dd272704d6cd4e689ae66e0bac5ec011de",
-      "bytes": 67212,
-      "rows": 5,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005093.lean\",\"a910de3a2113ef9472c19e2c3312fca6990cbb1b97ef2bad3d1477aa7c4ed22f\",0,\"lean_workbook_plus_32560\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005094.lean\",\"3c8d645679a07325642fd7345c0f71b2a7bbfa6f93ab817ed31fc24399355e41\",0,\"lean_workbook_plus_47107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005095.lean\",\"9d1eda8fbc32ca31e0bc9921c979cbd747d94baeeb9c8ca3bc6dcfb0dc86f146\",0,\"lean_workbook_plus_56801\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153232,
+      "path": "data/train/p97/oproofs-s00002-r00005092-n000004-0000-922392459d06ee0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "922392459d06ee0f24d69495de79275cc7bac224eb2a46cd41bebb3f16730284"
+    },
+    {
+      "bytes": 67212,
+      "path": "data/dev/p97/oproofs-s00002-r00005092-n000004-0000-076cc6e6a42e1bcd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "076cc6e6a42e1bcd0fe0f1deef3781dd272704d6cd4e689ae66e0bac5ec011de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005096-n000004.json b/manifests/batches/oproofs/s00002-r00005096-n000004.json
index 85a6b7227328a742069105e537caa77c7b48b042..cd9f790158b4e212cd30cd9a4f2bebf3a79e80ac 100644
--- a/manifests/batches/oproofs/s00002-r00005096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005096-n000004",
   "batch_fingerprint": "66a72ca202e3cdef380fa9ecfda1c0b5ca07e79cd0575e43290e7380daa9ac33",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005096-n000004-0000-ed497dfb8087e2aa.parquet",
-      "sha256": "ed497dfb8087e2aa2667806f8978db3dcecd04001b27bf578c1a77827ce15826",
-      "bytes": 100846,
-      "rows": 6,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005096-n000004-0000-64529827ca7e3553.parquet",
-      "sha256": "64529827ca7e355323e835e8cc1a029baa4b62a938ee9a217403790e247d0f88",
-      "bytes": 91333,
-      "rows": 6,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5097",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005097.lean\",\"43323de7e82bac4295f502ff379154ab4c04f3143079683a255f5a09d52c331d\",0,\"lean_workbook_plus_29602\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005098.lean\",\"a039427d76b29008e28f0d1571eed79993553a4a566dcf2f4ba577691ef0ed70\",0,\"lean_workbook_plus_28456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005099.lean\",\"54a39c34ed70b742f94b5f42e841eb06e2c9d0cac315e2991961d9869976f0c0\",0,\"lean_workbook_plus_68810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100846,
+      "path": "data/train/pb1/oproofs-s00002-r00005096-n000004-0000-ed497dfb8087e2aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ed497dfb8087e2aa2667806f8978db3dcecd04001b27bf578c1a77827ce15826"
+    },
+    {
+      "bytes": 91333,
+      "path": "data/internal_test/pb1/oproofs-s00002-r00005096-n000004-0000-64529827ca7e3553.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "64529827ca7e355323e835e8cc1a029baa4b62a938ee9a217403790e247d0f88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005100-n000004.json b/manifests/batches/oproofs/s00002-r00005100-n000004.json
index a42e54efc2f42ea867ac883dfbcc68dbb70e6bec..c687b0140af2ef05b95cb0745d5e446021adbc5c 100644
--- a/manifests/batches/oproofs/s00002-r00005100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005100-n000004",
   "batch_fingerprint": "bcc4c93fcbba15bf901476fc260e7a682454ed15dee47186a20704c164a1b2cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005100-n000004-0000-74b99caee9673a22.parquet",
-      "sha256": "74b99caee9673a221615eecc740bc7f1b55ca1475973195d82318d7bfb70fbde",
-      "bytes": 128317,
-      "rows": 13,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005100-n000004-0000-d45841d46fcfd920.parquet",
-      "sha256": "d45841d46fcfd92053ba1c650f1800e929945ed85098735e498c35e0b9b0dc1a",
-      "bytes": 71854,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005101.lean\",\"e409ba57928f6201399fffce2bd742294bc9e9c81a4f6bf29f30474bd933add9\",0,\"lean_workbook_plus_5592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005102.lean\",\"2ec66c90db75b71bd60ead74cdee29d748b2b6c0d99c8ef482dacb6c625130ed\",0,\"lean_workbook_plus_11155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005103.lean\",\"fcd3c416e998efa796a4933a4395d0ecd3810e8efc020d36ef0942dd738bd7dd\",0,\"lean_workbook_plus_13366\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128317,
+      "path": "data/train/pfd/oproofs-s00002-r00005100-n000004-0000-74b99caee9673a22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "74b99caee9673a221615eecc740bc7f1b55ca1475973195d82318d7bfb70fbde"
+    },
+    {
+      "bytes": 71854,
+      "path": "data/dev/pfd/oproofs-s00002-r00005100-n000004-0000-d45841d46fcfd920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d45841d46fcfd92053ba1c650f1800e929945ed85098735e498c35e0b9b0dc1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005104-n000004.json b/manifests/batches/oproofs/s00002-r00005104-n000004.json
index 3a69fdb452bd30aa43d541a6913a27caf71e9d22..3d8a859b1cf67d1de76a689c2c2862c1cbd52172 100644
--- a/manifests/batches/oproofs/s00002-r00005104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005104-n000004",
   "batch_fingerprint": "48157b49ce50e088f5a16db7c5262fbfd889da85dbd9650703a1e1ca151404aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005104-n000004-0000-09dfbf3dfb6cb8e6.parquet",
-      "sha256": "09dfbf3dfb6cb8e693318cccfcbafd35fb6be08d48acb128cadb784f8f1136be",
-      "bytes": 117077,
-      "rows": 9,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005104-n000004-0000-5b3842b40f49c133.parquet",
-      "sha256": "5b3842b40f49c133c74693f13ab53700cee6cd07a6f4f2fddc5e19a8f8e586de",
-      "bytes": 42168,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005105.lean\",\"fae91f60f166a1d1c0c7414fe07c70b227ab07246a0060ac0007d4cbb87f4444\",0,\"lean_workbook_plus_60470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005106.lean\",\"ab3b25228149e94e7b1db853237e02f7f066de9f883c6b0dc79293f05919da3d\",0,\"lean_workbook_plus_50762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005107.lean\",\"464217610ae0a8b5d68faa344698c235111ac7ca223c60e1b10ff97d424957dc\",0,\"lean_workbook_plus_67908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117077,
+      "path": "data/train/p35/oproofs-s00002-r00005104-n000004-0000-09dfbf3dfb6cb8e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "09dfbf3dfb6cb8e693318cccfcbafd35fb6be08d48acb128cadb784f8f1136be"
+    },
+    {
+      "bytes": 42168,
+      "path": "data/internal_test/p35/oproofs-s00002-r00005104-n000004-0000-5b3842b40f49c133.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5b3842b40f49c133c74693f13ab53700cee6cd07a6f4f2fddc5e19a8f8e586de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005108-n000004.json b/manifests/batches/oproofs/s00002-r00005108-n000004.json
index 1ae555272643cb7e693ec8986cbd4f25dbfbe120..bdf01e0605c99c0b03610c3994e4a3702af05549 100644
--- a/manifests/batches/oproofs/s00002-r00005108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005108-n000004",
   "batch_fingerprint": "3384d416ada40d8c411079e738b718d8073dd434eb7a31d7b43d3f1d1eaab7b4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005108-n000004-0000-b111dad4848670f6.parquet",
-      "sha256": "b111dad4848670f631142e9effadf5d0d81b217b0992da62fb85102e11fd667d",
-      "bytes": 127809,
-      "rows": 15,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005109.lean\",\"e0b24e010a3a1edbbd475431f4c2cfba1bc860ae45ac6b9c10bb1c77c2b24f52\",0,\"lean_workbook_19306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005110.lean\",\"3f6d0da5c2d1bc0644f9d9dd04f116e564f6c96c081f74bcd7d25cbc86aa20b2\",0,\"complex_imag_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005111.lean\",\"682eb1c1baf58e6ca9342c23910d309993561ecc0a558590c4a5b8281fa6739e\",0,\"lean_workbook_plus_55178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127809,
+      "path": "data/train/p10/oproofs-s00002-r00005108-n000004-0000-b111dad4848670f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b111dad4848670f631142e9effadf5d0d81b217b0992da62fb85102e11fd667d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005112-n000004.json b/manifests/batches/oproofs/s00002-r00005112-n000004.json
index 80085583544c68df1eb9cb89774ba9d86c238583..0f9398a6128cf2baedeed012eebf3c8649041f1c 100644
--- a/manifests/batches/oproofs/s00002-r00005112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005112-n000004",
   "batch_fingerprint": "27d2623ae7baf9d28bf63a9306fed0be577578d0808ffb89736f67708d35b446",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005112-n000004-0000-4861ee82b4a895e4.parquet",
-      "sha256": "4861ee82b4a895e46e1a50764c05a40868ae86ab20bb5bf5195fecbbab6ad826",
-      "bytes": 194366,
-      "rows": 12,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005112-n000004-0000-0b0cc1104d6e849c.parquet",
-      "sha256": "0b0cc1104d6e849cf184696fa510dab7437ce244e35296230dde51ce0a15d9a2",
-      "bytes": 90833,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005113.lean\",\"157dc340eaad922d0ade71cb3fad8fb6e00adbd459f7db6844b5fe74be99b93c\",0,\"lean_workbook_plus_2425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005114.lean\",\"6b3005c4085fd83ec2ff1decda9b8985af7b2cc4ea46091a4658dd714f6ee54d\",0,\"lean_workbook_plus_15826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005115.lean\",\"ad3b01464da485cb61e53cd2266960f18529114e25e5a0335d4fb7c625da515b\",0,\"max_sum_sqrt_constraint\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194366,
+      "path": "data/train/p8c/oproofs-s00002-r00005112-n000004-0000-4861ee82b4a895e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4861ee82b4a895e46e1a50764c05a40868ae86ab20bb5bf5195fecbbab6ad826"
+    },
+    {
+      "bytes": 90833,
+      "path": "data/internal_test/p8c/oproofs-s00002-r00005112-n000004-0000-0b0cc1104d6e849c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0b0cc1104d6e849cf184696fa510dab7437ce244e35296230dde51ce0a15d9a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005116-n000004.json b/manifests/batches/oproofs/s00002-r00005116-n000004.json
index 8e550f5dbcf800f6c81f8ab4ff9b05c38a6d96ad..b56ae06d91489ec4d4ebb558a832682d4887660d 100644
--- a/manifests/batches/oproofs/s00002-r00005116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005116-n000004",
   "batch_fingerprint": "e50105cdac55c9d6530b4bff83254c05d7a7e0f9b932ebbbe97f1203e0c9de38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005116-n000004-0000-ca1215cbc36147e1.parquet",
-      "sha256": "ca1215cbc36147e193d5276596a59828bdfc6942436ea2391c863b26304d399b",
-      "bytes": 356557,
-      "rows": 24,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005116-n000004-0000-9a470bad5235ec0e.parquet",
-      "sha256": "9a470bad5235ec0e88c933deb6d6664c4871207aba124f176d8667cceae8ac5b",
-      "bytes": 186315,
-      "rows": 3,
-      "revision": "4a182e70da0ad5a137d1cb2f416b25d2e1b59380"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005117.lean\",\"486cfbb027caeea59c0b27b9862c65001beb3c64d542ebb18eb86bb629975880\",0,\"lean_workbook_plus_55191\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005118.lean\",\"939d5c88d2796fe5807562cec4dd3d6f75809da1c5dea5d18792d4d7c3dce436\",0,\"lean_workbook_25652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005119.lean\",\"8d23bc97794122d3a50af571d65ce51573916296aa7a1428b3dc6954f6ad1b72\",0,\"lean_workbook_12525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356557,
+      "path": "data/train/pca/oproofs-s00002-r00005116-n000004-0000-ca1215cbc36147e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ca1215cbc36147e193d5276596a59828bdfc6942436ea2391c863b26304d399b"
+    },
+    {
+      "bytes": 186315,
+      "path": "data/internal_test/pca/oproofs-s00002-r00005116-n000004-0000-9a470bad5235ec0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9a470bad5235ec0e88c933deb6d6664c4871207aba124f176d8667cceae8ac5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005120-n000004.json b/manifests/batches/oproofs/s00002-r00005120-n000004.json
index 911cd7f04c9006555d226682b0a637e23d323972..2a90fffd06db87812940cbe3270c8984dfb30fc1 100644
--- a/manifests/batches/oproofs/s00002-r00005120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005120-n000004",
   "batch_fingerprint": "7255ff6c738bd643cb363715d3918102c6a1a1d31edcf637e56a4fcc958b5fe4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005120-n000004-0000-bb76eba0e64c36c5.parquet",
-      "sha256": "bb76eba0e64c36c50e69796c4a1868ae33e40778d022a1f6305a6a197ce090df",
-      "bytes": 233267,
-      "rows": 16,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005121.lean\",\"57682bd0f37802d73af6f922ac9398cd953ec830cc7152c7bb39ca4e6e1ff10e\",0,\"lean_workbook_plus_59786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005122.lean\",\"05de6ed36faccc56c9ec7c456277d607913b64b4249336f00f157da566226f0f\",0,\"lean_workbook_plus_34830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005123.lean\",\"367cf9b5d4291616be0027251602e15ed4fa78f300075929a40a1b644640bd26\",0,\"lean_workbook_30510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233267,
+      "path": "data/train/p67/oproofs-s00002-r00005120-n000004-0000-bb76eba0e64c36c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bb76eba0e64c36c50e69796c4a1868ae33e40778d022a1f6305a6a197ce090df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005124-n000004.json b/manifests/batches/oproofs/s00002-r00005124-n000004.json
index 47ca7c0adfe720e2da01e7a47aeac377665e956f..f1640219c92b7a621ca3404eb724ce1d650507b1 100644
--- a/manifests/batches/oproofs/s00002-r00005124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005124-n000004",
   "batch_fingerprint": "395af3631c80ca6a82e7710ce8198770a8cb20c08163754ce31366f84e051344",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005124-n000004-0000-405e065e87722729.parquet",
-      "sha256": "405e065e87722729ec76f1db551b1712caaf395fdba6e9da14acb65a22b200e9",
-      "bytes": 324064,
-      "rows": 26,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005125.lean\",\"f968087274fba2805201d4c8adf278f8a5181334088a2e3f1c3ac8470b56b463\",0,\"lean_workbook_plus_51251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005126.lean\",\"04302bb8934465a16d53fc8204ba8645019cf1c54038b806648b9ce00ec3ef97\",0,\"lean_workbook_plus_38060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005127.lean\",\"76dc04e63edb5be67a79a288e61f9212e280edc3efbea42032a83e26bb833b51\",0,\"lean_workbook_plus_43598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324064,
+      "path": "data/train/p26/oproofs-s00002-r00005124-n000004-0000-405e065e87722729.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "405e065e87722729ec76f1db551b1712caaf395fdba6e9da14acb65a22b200e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005128-n000004.json b/manifests/batches/oproofs/s00002-r00005128-n000004.json
index 33264de626b2fb9a8a8e4c95510a4d371f18b7ef..7d569963114bad902fe1a2bc3e785df24d43f1c3 100644
--- a/manifests/batches/oproofs/s00002-r00005128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005128-n000004",
   "batch_fingerprint": "6c87084af1ae4d60f32cc58911d5041bda1f5b1d35f3f981ba8a6a5b284540dc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005128-n000004-0000-9366445fbedb9918.parquet",
-      "sha256": "9366445fbedb9918a6434ee661a066974903bf455177a7b133c08e1f608c1b72",
-      "bytes": 684754,
-      "rows": 29,
-      "revision": "8038359755df00b566d080cfd228dc0a4ca9c083"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005128-n000004-0001-edaaece046ad0025.parquet",
-      "sha256": "edaaece046ad00252ace011e40ead5c388c5ce2277bc4fb37be1ff493dd0cede",
-      "bytes": 206919,
-      "rows": 4,
-      "revision": "8038359755df00b566d080cfd228dc0a4ca9c083"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005129.lean\",\"399a54dc99e5373f23879be5a1a24bd8bc1ea7fa8d7a907033a86f4a4058f451\",0,\"lean_workbook_plus_22319\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005130.lean\",\"cdc1a0d5fedd9ef6c3a12fa22814ac9679fc7a9b326bcb56b740fb3e1e44fca2\",0,\"lean_workbook_plus_75924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005131.lean\",\"85556947a32e20f61eec9fd850908e0799088ee10c2b4a9a0cc8f2d98df27e5f\",0,\"lean_workbook_plus_43460\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 684754,
+      "path": "data/train/p43/oproofs-s00002-r00005128-n000004-0000-9366445fbedb9918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9366445fbedb9918a6434ee661a066974903bf455177a7b133c08e1f608c1b72"
+    },
+    {
+      "bytes": 206919,
+      "path": "data/train/p43/oproofs-s00002-r00005128-n000004-0001-edaaece046ad0025.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "edaaece046ad00252ace011e40ead5c388c5ce2277bc4fb37be1ff493dd0cede"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005132-n000004.json b/manifests/batches/oproofs/s00002-r00005132-n000004.json
index 6082235a845abffae97cc6d46e7794f7807ae1fd..919133ce57c5ebbdf06f078000188b9e901a994d 100644
--- a/manifests/batches/oproofs/s00002-r00005132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005132-n000004",
   "batch_fingerprint": "680de6702e85a412d7067cfb32e33918e25f11a5d70f589829cba695e79d7b00",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005132-n000004-0000-50db05b1627eecfc.parquet",
-      "sha256": "50db05b1627eecfceb6d161c5febd80b88759aafc3dd166e23d8cb338ffefa80",
-      "bytes": 265520,
-      "rows": 20,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005133.lean\",\"93e06200ebd1ab8341123569f463b454de339b50beef178dd58ab87fd45b7667\",0,\"lean_workbook_plus_79497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005134.lean\",\"830d7fba49a29ae8076c013a252e8c84fe6e11082911ffaf639651ecb66f8acd\",0,\"lean_workbook_plus_25463\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005135.lean\",\"c10f1ffd647f266ae74d59fb3bb697c6876b258fccfa120e49ba232ec7bcabe9\",0,\"lean_workbook_plus_28952\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265520,
+      "path": "data/train/p51/oproofs-s00002-r00005132-n000004-0000-50db05b1627eecfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "50db05b1627eecfceb6d161c5febd80b88759aafc3dd166e23d8cb338ffefa80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005136-n000004.json b/manifests/batches/oproofs/s00002-r00005136-n000004.json
index 096e98abee33445fa22bdd622fe14a047b4a266c..8ef992f6f24fdd7d823306a360064165eba5ad6d 100644
--- a/manifests/batches/oproofs/s00002-r00005136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005136-n000004",
   "batch_fingerprint": "b879bd4a98739bb17f5d229695ee6b3553a4ad22b1b5fc3d88b5aa0bce6a93f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005136-n000004-0000-ee78b2386637464b.parquet",
-      "sha256": "ee78b2386637464b8ea5c2fcb5c8855151d3530369dbc2580e1784f28d16cece",
-      "bytes": 55792,
-      "rows": 6,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005136-n000004-0000-08b156606bcc0800.parquet",
-      "sha256": "08b156606bcc0800cdef941c89dfdc5cb81c1c51a7c1b415895962cb69fcd35a",
-      "bytes": 164959,
-      "rows": 13,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005137.lean\",\"2dbe432843e5fffbfcb8977a71d81bcf2f4e9b819b7fca39abc5892c37943ee2\",0,\"lean_workbook_plus_65686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005138.lean\",\"767fd0dd51c84da48dc35ec7c52b2d584177ea4e74575a7fbaea73f1394402cc\",0,\"lean_workbook_plus_45617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005139.lean\",\"e5cfa407cce43325ac6d6305588b49ee89bcb4d3a38c39013df540575b525fd4\",0,\"lean_workbook_plus_22443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55792,
+      "path": "data/train/pb7/oproofs-s00002-r00005136-n000004-0000-ee78b2386637464b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ee78b2386637464b8ea5c2fcb5c8855151d3530369dbc2580e1784f28d16cece"
+    },
+    {
+      "bytes": 164959,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00005136-n000004-0000-08b156606bcc0800.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "08b156606bcc0800cdef941c89dfdc5cb81c1c51a7c1b415895962cb69fcd35a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005140-n000004.json b/manifests/batches/oproofs/s00002-r00005140-n000004.json
index 2008cd1d31aa1e242c861891a738e893214eefcf..9be9cfbc7d98327cf3443d3e896e715fa743d4f9 100644
--- a/manifests/batches/oproofs/s00002-r00005140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005140-n000004",
   "batch_fingerprint": "d8c9e8e08fce8be6e3eb5833d69cb74d002d1eb9ec52e06e54465d68d65e3c4f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005140-n000004-0000-55a18823c71f6eba.parquet",
-      "sha256": "55a18823c71f6ebac9150b1c0e940c83c66ee80de80e03fca8b53315c6184ec9",
-      "bytes": 501992,
-      "rows": 19,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005141.lean\",\"86026d14f4409887f092c33565221bef434f929d001ce348f4bdfac67fcbc97c\",0,\"lean_workbook_plus_17117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005142.lean\",\"f41dd1645be1aff8faa03a67edd7293c872c1b2d04b7fbd9c2b7d01eac8c3fdd\",0,\"lean_workbook_plus_13678\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005143.lean\",\"edb032c56773fa5f24bc2599544138b07990fd27d719cc3c12695e1d7a1f4869\",0,\"lean_workbook_14696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 501992,
+      "path": "data/train/pd9/oproofs-s00002-r00005140-n000004-0000-55a18823c71f6eba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "55a18823c71f6ebac9150b1c0e940c83c66ee80de80e03fca8b53315c6184ec9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005144-n000004.json b/manifests/batches/oproofs/s00002-r00005144-n000004.json
index 2d3fcb3ff2b392dafe925a07a8b2db3b5114cdb9..558dca53a22861aba87b276f51dfa89ef1c95eb4 100644
--- a/manifests/batches/oproofs/s00002-r00005144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005144-n000004",
   "batch_fingerprint": "8371543d1b5d297981662824d1947f2919586ec7e9b10802875af9bbe814d47c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005144-n000004-0000-8096dab0c2f35a42.parquet",
-      "sha256": "8096dab0c2f35a42b00b607eb61dc34e60552f1ccbffd6634e4f803d021cc484",
-      "bytes": 259782,
-      "rows": 21,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005144-n000004-0000-db3a5a990b18e04b.parquet",
-      "sha256": "db3a5a990b18e04b7754b089bfae1b36283d1d95c9b9e363911f35131deac658",
-      "bytes": 37607,
-      "rows": 3,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005145.lean\",\"06752e1fb9d13de946b65b68484238d020aa8b6123d2d81607652384d2acfa9f\",0,\"cube_diagonal_angle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005146.lean\",\"054796842b923ffb71ed0757a11847bc9db56df336e3e70ee17f6781501f6f19\",0,\"lean_workbook_plus_75734\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005147.lean\",\"a81145223b370a5aba1135e88913b74fc66d07d852a7cb82c45df1fe541cd3fa\",0,\"lean_workbook_plus_43779\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259782,
+      "path": "data/train/p72/oproofs-s00002-r00005144-n000004-0000-8096dab0c2f35a42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8096dab0c2f35a42b00b607eb61dc34e60552f1ccbffd6634e4f803d021cc484"
+    },
+    {
+      "bytes": 37607,
+      "path": "data/internal_test/p72/oproofs-s00002-r00005144-n000004-0000-db3a5a990b18e04b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "db3a5a990b18e04b7754b089bfae1b36283d1d95c9b9e363911f35131deac658"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005148-n000004.json b/manifests/batches/oproofs/s00002-r00005148-n000004.json
index ac8966b1b9886b5f3af47d6cc4b054e16a69d797..2cb19c380be374d9c1193a24a1aefba588655e0c 100644
--- a/manifests/batches/oproofs/s00002-r00005148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005148-n000004",
   "batch_fingerprint": "ce114cd0e74560b009ce77ee6e473aa4c9741c67bd7dc4520ed2b2bab1e921d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005148-n000004-0000-4c445b32c6888f99.parquet",
-      "sha256": "4c445b32c6888f9983c2a1dea03213d8393311f2755ddb67c5800877d89b9e8d",
-      "bytes": 238095,
-      "rows": 27,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005149.lean\",\"f352cef226918550b3834eec923dc9c798e60cb3a0672a06da3ffe0e48675346\",0,\"lean_workbook_plus_13592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005150.lean\",\"3c63ba94d160b1ce469b77a2536711e082e89aee0a9a238f5ea83caafb87ac61\",0,\"lean_workbook_20133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005151.lean\",\"131d46107dc14b0aa2f154e3f7b8adf0720792b854e3cf75eb5d07e4d57ba68c\",0,\"lean_workbook_plus_51766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238095,
+      "path": "data/train/p78/oproofs-s00002-r00005148-n000004-0000-4c445b32c6888f99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "4c445b32c6888f9983c2a1dea03213d8393311f2755ddb67c5800877d89b9e8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005152-n000004.json b/manifests/batches/oproofs/s00002-r00005152-n000004.json
index a79ff6bad2451590d0ef9effb8c7478dd40963c2..9c5f70063cde28bf1debfc88c6e5518722299371 100644
--- a/manifests/batches/oproofs/s00002-r00005152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005152-n000004",
   "batch_fingerprint": "90edc384ee8a71ec82991a5d3bfc25670792baa9a3e5233fee01c9e9ebba838e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5152",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5153",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5154",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5155"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005152.lean\",\"bb21a53b31467e09931cf4b9119ec955d44cd355c36496533250d43f130cadd2\",0,\"lean_workbook_41956\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005153.lean\",\"5bb9c33d0360887c8d6415b0e85d4425887c868933ed67b41589f5956b40c9bd\",0,\"lean_workbook_11582\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005154.lean\",\"dfc02c341b58bad133db05edc7d640b0902c7f258af8de54066e9092c92217f0\",0,\"triangle_altitude_median_intersection\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005155.lean\",\"ca0f289ecec8c1452fd5d37f7d9a032f1f24305f502d46637e340acd5aa04616\",0,\"lean_workbook_plus_49095\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005152-n000004-0000-bbb7a89f41a8268b.parquet",
-      "sha256": "bbb7a89f41a8268baed6ef5929695de4f48e45f37f407b724b95b90df9dec781",
       "bytes": 621921,
+      "path": "data/train/pe4/oproofs-s00002-r00005152-n000004-0000-bbb7a89f41a8268b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "668cad8eebdf989d3fdfffaa762702ba540ac7bc"
+      "sha256": "bbb7a89f41a8268baed6ef5929695de4f48e45f37f407b724b95b90df9dec781"
     },
     {
-      "path": "data/train/oproofs-s00002-r00005152-n000004-0001-af493e3792999575.parquet",
-      "sha256": "af493e37929995757c83d552c0ef9485607e3802f2a6a222259306f9c055696d",
       "bytes": 1240613,
+      "path": "data/train/pe4/oproofs-s00002-r00005152-n000004-0001-af493e3792999575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "668cad8eebdf989d3fdfffaa762702ba540ac7bc"
+      "sha256": "af493e37929995757c83d552c0ef9485607e3802f2a6a222259306f9c055696d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005152-n000004-0000-a68d190fbaf73f1e.parquet",
-      "sha256": "a68d190fbaf73f1ecef8b250058ea0235e289d99e442652860b1a89e4e57ca12",
       "bytes": 477360,
+      "path": "data/dev/pe4/oproofs-s00002-r00005152-n000004-0000-a68d190fbaf73f1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "668cad8eebdf989d3fdfffaa762702ba540ac7bc"
+      "sha256": "a68d190fbaf73f1ecef8b250058ea0235e289d99e442652860b1a89e4e57ca12"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5152",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5153",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5154",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5155"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005152.lean\",\"bb21a53b31467e09931cf4b9119ec955d44cd355c36496533250d43f130cadd2\",0,\"lean_workbook_41956\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005153.lean\",\"5bb9c33d0360887c8d6415b0e85d4425887c868933ed67b41589f5956b40c9bd\",0,\"lean_workbook_11582\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005154.lean\",\"dfc02c341b58bad133db05edc7d640b0902c7f258af8de54066e9092c92217f0\",0,\"triangle_altitude_median_intersection\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005155.lean\",\"ca0f289ecec8c1452fd5d37f7d9a032f1f24305f502d46637e340acd5aa04616\",0,\"lean_workbook_plus_49095\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005156-n000004.json b/manifests/batches/oproofs/s00002-r00005156-n000004.json
index 0e46cd68905413cf3b99ad8d897560781e770920..d986f80f5a6468aaf9fb58b8f55b6497ee705ef4 100644
--- a/manifests/batches/oproofs/s00002-r00005156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005156-n000004",
   "batch_fingerprint": "482853a4d93e2d96decaf2b426bee072c1ee6118c675b2ce06ecefb8b03ba162",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005156-n000004-0000-b54a1c82016daacc.parquet",
-      "sha256": "b54a1c82016daacc93eaa04ffe75e94826e7316604bfb89a4912807a98569fa1",
-      "bytes": 172473,
-      "rows": 8,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005156-n000004-0000-ee2e07c1ff22700a.parquet",
-      "sha256": "ee2e07c1ff22700acc5de1c168e5ed7316da52fe19f84ace8d33f3cd04a1506a",
-      "bytes": 34727,
-      "rows": 3,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005157.lean\",\"be55c35c96e860c2bde5aae3a0ebbbe83fe4350d1cfbc989f8b35a49016da6ae\",0,\"parabola_properties_and_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005158.lean\",\"d721048996407d1773d06f482001dadd0b3f0fa7582519d01296a21cbd48bbe1\",0,\"lean_workbook_26159\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005159.lean\",\"39f29b3c5e1e3b144188a6cd141710511d32ac76c49efe3630f5c6dbf2c6dba2\",0,\"lean_workbook_56002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172473,
+      "path": "data/train/p2b/oproofs-s00002-r00005156-n000004-0000-b54a1c82016daacc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b54a1c82016daacc93eaa04ffe75e94826e7316604bfb89a4912807a98569fa1"
+    },
+    {
+      "bytes": 34727,
+      "path": "data/internal_test/p2b/oproofs-s00002-r00005156-n000004-0000-ee2e07c1ff22700a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ee2e07c1ff22700acc5de1c168e5ed7316da52fe19f84ace8d33f3cd04a1506a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005160-n000004.json b/manifests/batches/oproofs/s00002-r00005160-n000004.json
index db2e68bf3825c7d290205ad98a1f431196f3ef8b..a2fc0822e48662fbb2840bf658dcbcbea86345ba 100644
--- a/manifests/batches/oproofs/s00002-r00005160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005160-n000004",
   "batch_fingerprint": "7d53e42eeebdbc51f48569a82aec7e56f1bb8ab87290d1cf7580b1ee57ea68e9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005160-n000004-0000-5750ce4fd0c26cdb.parquet",
-      "sha256": "5750ce4fd0c26cdbf4995e278d3bac1a8a05b8cabeb7374054c89354fa3bb72f",
-      "bytes": 98996,
-      "rows": 9,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005160-n000004-0000-5fe155277f794521.parquet",
-      "sha256": "5fe155277f794521c4046ef4fcdab153baf588d86f6b28fcb804dbe6ed72aec2",
-      "bytes": 109079,
-      "rows": 9,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5161",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005161.lean\",\"63daaaa6388d5db36bb780f54d1d58dd84583568267ab2f06e42c38225d7f632\",0,\"lean_workbook_plus_19072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005162.lean\",\"5a0b8e4b4abe8fd63a014ade43715d70311edf746a0652646616cd52d1c0df29\",0,\"lean_workbook_plus_29950\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005163.lean\",\"9abe4d052d765c937d30d4cfd195a938c4ec3a479e5c77127b4f009f2e654aeb\",0,\"lean_workbook_plus_32560\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98996,
+      "path": "data/train/p32/oproofs-s00002-r00005160-n000004-0000-5750ce4fd0c26cdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5750ce4fd0c26cdbf4995e278d3bac1a8a05b8cabeb7374054c89354fa3bb72f"
+    },
+    {
+      "bytes": 109079,
+      "path": "data/dev/p32/oproofs-s00002-r00005160-n000004-0000-5fe155277f794521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "5fe155277f794521c4046ef4fcdab153baf588d86f6b28fcb804dbe6ed72aec2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005164-n000004.json b/manifests/batches/oproofs/s00002-r00005164-n000004.json
index a3403d2512b26b9ddad91fb74a3ba1dbb8c1a9bd..cbfd9f35ed9a2edf14917f2f8278dae9dc5b0022 100644
--- a/manifests/batches/oproofs/s00002-r00005164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005164-n000004",
   "batch_fingerprint": "b4acfbf9fc1835cb4ca106e07b8262c7720208a2429cfa9fb657deca2f1c374e",
   "evidence": {
@@ -41,22 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005164-n000004-0000-86935b8a69af6648.parquet",
-      "sha256": "86935b8a69af66489a757ee1630aa910d7dd61fd500fc5381f9c55b93a4062c2",
-      "bytes": 92696,
-      "rows": 3,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005164-n000004-0000-612674d7710e40f6.parquet",
-      "sha256": "612674d7710e40f63c252a2a7b2771a048dbd55d44d968ae06bf9dbbeb1d20ca",
-      "bytes": 85409,
-      "rows": 5,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5165",
@@ -66,5 +50,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005164.lean\",\"837f0cd5dca3e3fd604efbdf75f00b25bf612bd2ba8569f8d750ac89844ed8df\",0,\"lean_workbook_plus_47107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005165.lean\",\"2c2d9684fefa0b1995176e1b40cee33fa1d4a1e8dd83ee304c6dbf66fe69fdaf\",0,\"lean_workbook_plus_28456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005166.lean\",\"8d4a205af3071767804e92a51df9019d8c069f8742798b283e5219d701697ac3\",0,\"lean_workbook_plus_29602\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92696,
+      "path": "data/train/pd9/oproofs-s00002-r00005164-n000004-0000-86935b8a69af6648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "86935b8a69af66489a757ee1630aa910d7dd61fd500fc5381f9c55b93a4062c2"
+    },
+    {
+      "bytes": 85409,
+      "path": "data/internal_test/pd9/oproofs-s00002-r00005164-n000004-0000-612674d7710e40f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "612674d7710e40f63c252a2a7b2771a048dbd55d44d968ae06bf9dbbeb1d20ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005168-n000004.json b/manifests/batches/oproofs/s00002-r00005168-n000004.json
index 567a8b26bd49e8c7173e797af31ef97492aeb74f..a1940ebb63c392887bd8d17f7d9e6390e36a8213 100644
--- a/manifests/batches/oproofs/s00002-r00005168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005168-n000004",
   "batch_fingerprint": "b93eb3291668a0470321540a367f4aef9b49477b7a358c63302172cb61e0cee7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5168",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5169",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5170",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5171"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005168.lean\",\"be2786b0dcd4b3adf61543ffef75ad83c8991d3f39ac76c77bfceeaeee3a4b98\",0,\"lean_workbook_plus_56203\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005169.lean\",\"dc8b52c0867f45c350d94545f09b5909d92f74b5d7a6522f1b43b9ecee7bf486\",0,\"lean_workbook_plus_38387\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005170.lean\",\"3d39067a21c241837131f75414a1330c43b262632d8e21005182afdcd5dca9db\",0,\"lean_workbook_plus_77411\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005171.lean\",\"59afd16bb9ad641daf873a5b42ff71160534356cc474a2129e8ede70f4f85412\",0,\"lean_workbook_plus_11155\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005168-n000004-0000-3abbe12504eb9408.parquet",
-      "sha256": "3abbe12504eb9408cce51018f5cea91f7e98aa11c3f157b954e4ce81bdd76a63",
       "bytes": 94315,
+      "path": "data/train/pce/oproofs-s00002-r00005168-n000004-0000-3abbe12504eb9408.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
+      "sha256": "3abbe12504eb9408cce51018f5cea91f7e98aa11c3f157b954e4ce81bdd76a63"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005168-n000004-0000-9358520ce83852d5.parquet",
-      "sha256": "9358520ce83852d5bb6b21a06016e46cf66455b07f36d9823ea30960fa87b06d",
       "bytes": 90131,
+      "path": "data/dev/pce/oproofs-s00002-r00005168-n000004-0000-9358520ce83852d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
+      "sha256": "9358520ce83852d5bb6b21a06016e46cf66455b07f36d9823ea30960fa87b06d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005168-n000004-0000-ecf1b22dc74b9a36.parquet",
-      "sha256": "ecf1b22dc74b9a3607412ceda77d16a7590affee5f16585225cce98dbe90eeeb",
       "bytes": 80074,
+      "path": "data/internal_test/pce/oproofs-s00002-r00005168-n000004-0000-ecf1b22dc74b9a36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
+      "sha256": "ecf1b22dc74b9a3607412ceda77d16a7590affee5f16585225cce98dbe90eeeb"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5168",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5169",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5170",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5171"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005168.lean\",\"be2786b0dcd4b3adf61543ffef75ad83c8991d3f39ac76c77bfceeaeee3a4b98\",0,\"lean_workbook_plus_56203\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005169.lean\",\"dc8b52c0867f45c350d94545f09b5909d92f74b5d7a6522f1b43b9ecee7bf486\",0,\"lean_workbook_plus_38387\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005170.lean\",\"3d39067a21c241837131f75414a1330c43b262632d8e21005182afdcd5dca9db\",0,\"lean_workbook_plus_77411\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005171.lean\",\"59afd16bb9ad641daf873a5b42ff71160534356cc474a2129e8ede70f4f85412\",0,\"lean_workbook_plus_11155\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005172-n000004.json b/manifests/batches/oproofs/s00002-r00005172-n000004.json
index ffbca5c5d968c2143680b2f49cf7893063cb8dcb..6f12149ce1705760b082fb95920dd21f3e80cb01 100644
--- a/manifests/batches/oproofs/s00002-r00005172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005172-n000004",
   "batch_fingerprint": "8a273ef1500ee8bff94b52062008dc1c3a93e6d935c6ba4583c97defcf25b46d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005172-n000004-0000-e3178aae223514da.parquet",
-      "sha256": "e3178aae223514dab794a1c739320a63a6e206534324ad95fd0d56915b63965d",
-      "bytes": 179996,
-      "rows": 16,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005173.lean\",\"95d5e03910a3df461259a6b698ef1f109a6d3b57659824446ee9022fa2ae3ce8\",0,\"lean_workbook_plus_8761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005174.lean\",\"222f2294265a1ab4bbd1030320a50aacdb531feb950a5546a65795dcffe515d9\",0,\"lean_workbook_plus_67908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005175.lean\",\"d0cf111523ab652f2fa07b4598f52d590a02d1f48f2c5d6a0da2167ee94ac39c\",0,\"lean_workbook_plus_60470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179996,
+      "path": "data/train/p7a/oproofs-s00002-r00005172-n000004-0000-e3178aae223514da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e3178aae223514dab794a1c739320a63a6e206534324ad95fd0d56915b63965d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005176-n000004.json b/manifests/batches/oproofs/s00002-r00005176-n000004.json
index a1c175197fd103587e72a4c6f7b737e9e27aa042..d38b5aab66fa8d21976cc24a1b9612f7068c2bdf 100644
--- a/manifests/batches/oproofs/s00002-r00005176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005176-n000004",
   "batch_fingerprint": "b172e48f5eee29de2d88b970e7258674016d9f4ce5e140bb8107a91c2b5f5e2c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005176-n000004-0000-be687efc19c0992d.parquet",
-      "sha256": "be687efc19c0992d530a9a933ee08c11b3d15d20ed06bcdb25a701805b5e79bc",
-      "bytes": 89901,
-      "rows": 11,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005176-n000004-0000-60420de18f8b58fc.parquet",
-      "sha256": "60420de18f8b58fcd33dcec1c44d708930fd899a150aaefad8b3171ef8ff90c8",
-      "bytes": 72312,
-      "rows": 5,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005177.lean\",\"a55befc53ac63438f76881732d33abfe4162b8e3d187a642d65074ded3b53492\",0,\"lean_workbook_plus_23773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005178.lean\",\"8520aab0151d8428c0291afad9979b661ea8a78982722d47e1ae374b5cc534d7\",0,\"lean_workbook_19306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005179.lean\",\"4a5877a1ec587a401de358d49aff068ae81316a371ddb2d8e1fd605e7ae7e299\",0,\"complex_imag_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89901,
+      "path": "data/train/pb6/oproofs-s00002-r00005176-n000004-0000-be687efc19c0992d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "be687efc19c0992d530a9a933ee08c11b3d15d20ed06bcdb25a701805b5e79bc"
+    },
+    {
+      "bytes": 72312,
+      "path": "data/dev/pb6/oproofs-s00002-r00005176-n000004-0000-60420de18f8b58fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "60420de18f8b58fcd33dcec1c44d708930fd899a150aaefad8b3171ef8ff90c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005180-n000004.json b/manifests/batches/oproofs/s00002-r00005180-n000004.json
index 05e933437ccf7143227cc6f9292b97ffab491c3f..80561afefed2c0ecb53ab1857eff6922264ad985 100644
--- a/manifests/batches/oproofs/s00002-r00005180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005180-n000004",
   "batch_fingerprint": "2a1d63922dd00f10bf6ab04c1eef44ef1843ea7530521926d522fd9743e755bc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005180-n000004-0000-3661e27f2fcbd725.parquet",
-      "sha256": "3661e27f2fcbd7252a5ec6461e8513feba201334fbe6bf14b596d2146329ab56",
-      "bytes": 124225,
-      "rows": 19,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005181.lean\",\"5b44c6b9c184486bfa82188e4feb284ef8b26d520d4afc9c36239dc1507ba856\",0,\"lean_workbook_plus_38836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005182.lean\",\"be5c6caca0ad09c223553dc82d38e53925037604048cdfbb1c93832d7adfe2e4\",0,\"lean_workbook_plus_57187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005183.lean\",\"bf9e40f1b312e5eeb24d62892c0f60fdf23658f5becb9f2a16da794928ea573c\",0,\"lean_workbook_plus_74133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124225,
+      "path": "data/train/p63/oproofs-s00002-r00005180-n000004-0000-3661e27f2fcbd725.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3661e27f2fcbd7252a5ec6461e8513feba201334fbe6bf14b596d2146329ab56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005184-n000004.json b/manifests/batches/oproofs/s00002-r00005184-n000004.json
index a2101c3009ede7b24c3b394ba97182d9be6bf136..ed5dc1a360d0fda95fc204de9bc510c075bcfbcc 100644
--- a/manifests/batches/oproofs/s00002-r00005184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005184-n000004",
   "batch_fingerprint": "6d37b54fccec9bb9684583e33a5b4eb2476ce8db3bfa900f293efdab3393ec35",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005184-n000004-0000-110f0f3914736c1f.parquet",
-      "sha256": "110f0f3914736c1f0085a6e14b63a6c3da9b58b596f42227541559de8186c053",
-      "bytes": 961449,
-      "rows": 19,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005185.lean\",\"6be8063558faacd1208dfe069b2892fe90e8c80d1e605e12ac4061af271aaa7a\",0,\"lean_workbook_plus_20180\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005186.lean\",\"6e8f296e08fed51e2f857b15c36dedce83c16b3eec64d011cbfc73aeb5f44437\",0,\"lean_workbook_plus_75686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005187.lean\",\"f3946b2c381c0f0d02438793cde6241fe2e2cef792e7a1566db9d53b4caa4698\",0,\"lean_workbook_21002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 961449,
+      "path": "data/train/p2f/oproofs-s00002-r00005184-n000004-0000-110f0f3914736c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "110f0f3914736c1f0085a6e14b63a6c3da9b58b596f42227541559de8186c053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005188-n000004.json b/manifests/batches/oproofs/s00002-r00005188-n000004.json
index a7ccab4f886553cebbdd00d18927f7ca263c8ec3..cdb00189b4261f73fc8a8e6c1d88f4c8b2a7f0c2 100644
--- a/manifests/batches/oproofs/s00002-r00005188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005188-n000004",
   "batch_fingerprint": "9e8d2c86592de1a399dfb1e6f17e85092285fd2433a93bbeffc43a9f7e1373ec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005188-n000004-0000-6471dd0a9f2e41f3.parquet",
-      "sha256": "6471dd0a9f2e41f36e48efc30ea7ba94684fd088f8ee85a06cfb55ff83e9cabe",
-      "bytes": 447599,
-      "rows": 23,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005189.lean\",\"369ae9fd7f875babc6c745dff463cc4df769dc4325deab205197d7b2214343d9\",0,\"max_sum_sqrt_constraint\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005190.lean\",\"b8bd1de3f76cc460c8c40c61e52a4391d77ac5ebc5619948414a254a9ee67111\",0,\"lean_workbook_25652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005191.lean\",\"748d5f0ce8ec87a9a94ca5880101ecc275e6fad153be91ff429034dd406bb671\",0,\"lean_workbook_plus_22316\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 447599,
+      "path": "data/train/p15/oproofs-s00002-r00005188-n000004-0000-6471dd0a9f2e41f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6471dd0a9f2e41f36e48efc30ea7ba94684fd088f8ee85a06cfb55ff83e9cabe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005192-n000004.json b/manifests/batches/oproofs/s00002-r00005192-n000004.json
index 37f39a37b77125c2e67ca81c6e68b808eed061b8..f8b17867a0498831ec4653dffec040a4f8406fe9 100644
--- a/manifests/batches/oproofs/s00002-r00005192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005192-n000004",
   "batch_fingerprint": "53c4477081629dd1820603b930426b5729fa0a4d65e1937516a64378e6478fc4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005192-n000004-0000-30703ad8fe0c3f19.parquet",
-      "sha256": "30703ad8fe0c3f191c719e460d41a118da4978594909471c0aa8e12f81630de8",
-      "bytes": 221145,
-      "rows": 25,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005193.lean\",\"ae95fe7ab1483ed10ef2b58da40334e962b2ef604ed52048c807cf779723619c\",0,\"sum_numbers_greater_than_1_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005194.lean\",\"0897dd7aa00c32bee8a2d291502486e11d562f56e15f1a7e68c00ed198cd016b\",0,\"nadia_walking_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005195.lean\",\"f13e4a03c348fd4feffd289a75d41a3a2a325b6e183786872d2e7bee3a29795d\",0,\"lean_workbook_plus_59786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221145,
+      "path": "data/train/p7d/oproofs-s00002-r00005192-n000004-0000-30703ad8fe0c3f19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "30703ad8fe0c3f191c719e460d41a118da4978594909471c0aa8e12f81630de8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005196-n000004.json b/manifests/batches/oproofs/s00002-r00005196-n000004.json
index 43a967554f9d43194743041dca9c27a6741fa047..3da3998c3d2f998965af5ebf948f874b264cd035 100644
--- a/manifests/batches/oproofs/s00002-r00005196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005196-n000004",
   "batch_fingerprint": "168ad82a564e6585f35031e03b0536c9a312c00e3243cc1fb5f3d3e6abfa418f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005196-n000004-0000-fbe79009e78b7e0c.parquet",
-      "sha256": "fbe79009e78b7e0cccfadf2ba8fe265e5c44dcb76a6fc7b5ac9b899bd70de818",
-      "bytes": 100408,
-      "rows": 13,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005197.lean\",\"fa8da491caa30fcabb04acb766275265311b3db7ca674e3287a4eec75992c95f\",0,\"lean_workbook_30510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005198.lean\",\"76c6cf3e436225ea0401a42192554ec4ee03cdfe6f5bea8d437e5d6141a44fcb\",0,\"lean_workbook_plus_69274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005199.lean\",\"74f17bf67994762f0fe87a0600fd8c90296f1f1b75420cf1bb62baff510264b1\",0,\"lean_workbook_plus_51251\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100408,
+      "path": "data/train/p7b/oproofs-s00002-r00005196-n000004-0000-fbe79009e78b7e0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fbe79009e78b7e0cccfadf2ba8fe265e5c44dcb76a6fc7b5ac9b899bd70de818"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005200-n000004.json b/manifests/batches/oproofs/s00002-r00005200-n000004.json
index 72b864f6e8d650981fa546f871cc9341cccda6cb..549de022b04de0dae209182ea8580728e5d70ede 100644
--- a/manifests/batches/oproofs/s00002-r00005200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005200-n000004",
   "batch_fingerprint": "322c48fd6f86490196afb653480d699eb9abea37419bb0361f5190adc17286e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005200-n000004-0000-6053bd43ade2eefe.parquet",
-      "sha256": "6053bd43ade2eefe409e92efd053ba9ebe34cdf066b98ddc106fb61ec7a2e057",
-      "bytes": 563946,
-      "rows": 21,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005201.lean\",\"df9caca7f48470947bcef451ce2ed9c62bcce4eeb85180ba567c1d2a62882c65\",0,\"lean_workbook_plus_29670\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005202.lean\",\"5a9b77758d6e157c9f894a5304ce5f1d572ede7ec3962d7915af7a5879023c9f\",0,\"lean_workbook_plus_41890\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005203.lean\",\"7b875bbbf40c4ce6cf2d487c8cca80cc2b0a338e021b7ad8eee9d9b34c15e6e8\",0,\"lean_workbook_plus_22920\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 563946,
+      "path": "data/train/pd1/oproofs-s00002-r00005200-n000004-0000-6053bd43ade2eefe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6053bd43ade2eefe409e92efd053ba9ebe34cdf066b98ddc106fb61ec7a2e057"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005204-n000004.json b/manifests/batches/oproofs/s00002-r00005204-n000004.json
index 10cba56598e3b0481184ce9be76797f72b8c74ef..a4d4db47e3ad66df8ea79154d0dd143d4e6b478c 100644
--- a/manifests/batches/oproofs/s00002-r00005204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005204-n000004",
   "batch_fingerprint": "9f6b4bfcd0ad65ea1c634fbfba76fc8e6619ccccdf18e129d70ccbf9752dd4f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005204-n000004-0000-eb7edebee559ca53.parquet",
-      "sha256": "eb7edebee559ca53e4fad8cd45f9be225e11fc99ab305e7a9910ffb36257aef8",
-      "bytes": 102282,
-      "rows": 12,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005204-n000004-0000-a42037e803d51d09.parquet",
-      "sha256": "a42037e803d51d091b4182160102d34d2f784f0913ee4cc0e6c4129155ec1095",
-      "bytes": 164918,
-      "rows": 5,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005205.lean\",\"94075a68f5a260f5976d6d37efe5df76ac04a27c34e7435975370032d6c38531\",0,\"lean_workbook_plus_1072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005206.lean\",\"846fbc37c3a181a04a611eb34bcb624948302c5c3df6f86c84be4c554a0ea296\",0,\"lean_workbook_44476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005207.lean\",\"581495c998e3d4c2a644817d3c6589d8208a71ec7415fe8d53ee11847f1ded41\",0,\"secret_society_bounds\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102282,
+      "path": "data/train/p2b/oproofs-s00002-r00005204-n000004-0000-eb7edebee559ca53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "eb7edebee559ca53e4fad8cd45f9be225e11fc99ab305e7a9910ffb36257aef8"
+    },
+    {
+      "bytes": 164918,
+      "path": "data/internal_test/p2b/oproofs-s00002-r00005204-n000004-0000-a42037e803d51d09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a42037e803d51d091b4182160102d34d2f784f0913ee4cc0e6c4129155ec1095"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005208-n000004.json b/manifests/batches/oproofs/s00002-r00005208-n000004.json
index 109fc85fe78bf0d6ef96d3abc0b7bd82279475fc..3e0462080985aad0ff41ac76109670e1d478ae75 100644
--- a/manifests/batches/oproofs/s00002-r00005208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005208-n000004",
   "batch_fingerprint": "918961f2804498e6dd63b5c114ef1665512e3531169e56f5c223033d1b214c35",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005208-n000004-0000-ee4a2c9327cf115e.parquet",
-      "sha256": "ee4a2c9327cf115ec6f892493c2908504f29ef7370583ee13e21b8fc3435b553",
-      "bytes": 58856,
-      "rows": 6,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005208-n000004-0000-e47905424f06ec53.parquet",
-      "sha256": "e47905424f06ec539a7d1114c0b69a7387f8b23bf6e196da3d895096a90c22e9",
-      "bytes": 84621,
-      "rows": 7,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005209.lean\",\"ca4b53b8d0f208b1096efd131185a03565f206b162e5e00700366a6e778c6a3f\",0,\"lean_workbook_plus_57697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005210.lean\",\"f215c7309a26270eeacc3982b5ab0836812b39058c57fe8e6af6a2e0ba15af0f\",0,\"lean_workbook_plus_65686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005211.lean\",\"e0d86f49d46fb732a8d9f65bfb503a5d97da87eec5417c486d4cabd5c83f0f7e\",0,\"lean_workbook_plus_45617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58856,
+      "path": "data/train/pc9/oproofs-s00002-r00005208-n000004-0000-ee4a2c9327cf115e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ee4a2c9327cf115ec6f892493c2908504f29ef7370583ee13e21b8fc3435b553"
+    },
+    {
+      "bytes": 84621,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00005208-n000004-0000-e47905424f06ec53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e47905424f06ec539a7d1114c0b69a7387f8b23bf6e196da3d895096a90c22e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005212-n000004.json b/manifests/batches/oproofs/s00002-r00005212-n000004.json
index bdf7ed8002b02ab49d3eabd167083562d90e48c2..f16e8d8af8949b3c5e536908077b681dceb748bf 100644
--- a/manifests/batches/oproofs/s00002-r00005212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005212-n000004",
   "batch_fingerprint": "ee97d926ea592862e6fca3fd539bf9f955d6329a3b01083f23e3d83739122213",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005212-n000004-0000-d512d15143c91053.parquet",
-      "sha256": "d512d15143c910537363957b0fd31a336f0e98617c4ae697fd12f4a7b82c28ec",
-      "bytes": 193196,
-      "rows": 17,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005213.lean\",\"ba27c8785d68f1c9936bb185a166a377908f555cad27edb006affa9bb3ff35c0\",0,\"lean_workbook_plus_17117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005214.lean\",\"00e9ad7fb5aea8dadc09207d7c6c45a5f0827eb69e760a0905d7b35f5a7bd710\",0,\"lean_workbook_plus_13678\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005215.lean\",\"21acd4a003b454ba11aba6090df69c382df72c32d69beebb3dcdd94364807944\",0,\"cube_diagonal_angle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193196,
+      "path": "data/train/p88/oproofs-s00002-r00005212-n000004-0000-d512d15143c91053.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d512d15143c910537363957b0fd31a336f0e98617c4ae697fd12f4a7b82c28ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005216-n000004.json b/manifests/batches/oproofs/s00002-r00005216-n000004.json
index ee48def3fa6c7d70b697f0d6fc3c88d61622c6c2..31f6dc3f2c0f60d7dd39d85bd58e7479da84d43c 100644
--- a/manifests/batches/oproofs/s00002-r00005216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005216-n000004",
   "batch_fingerprint": "537a65e09daa5df45b45e9250adca39ca78db50bd390fd9da328b0c4d294dfae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005216-n000004-0000-1027304a67b7bac7.parquet",
-      "sha256": "1027304a67b7bac7a71ed4b771ce644d713b3c8ca5851f077fa8c645c9df67cc",
-      "bytes": 255592,
-      "rows": 26,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005217.lean\",\"e816e377990eabc8d7f53f5f6e46ea665c259adc8544c1a4e18cebab602bb4b1\",0,\"lean_workbook_35445\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005218.lean\",\"b111e13edc262bc2d2389521d979f5f473c507dc9cb49fd3d669c5fbce535fda\",0,\"lean_workbook_plus_32865\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005219.lean\",\"469a6a0a0a0acf7fcaa4fadc56901246ab0d1c8b328c54884b7af29f093ecc35\",0,\"lean_workbook_plus_13592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255592,
+      "path": "data/train/p57/oproofs-s00002-r00005216-n000004-0000-1027304a67b7bac7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1027304a67b7bac7a71ed4b771ce644d713b3c8ca5851f077fa8c645c9df67cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005220-n000004.json b/manifests/batches/oproofs/s00002-r00005220-n000004.json
index 4d88dd9baacdb45fff5216d919fbdf27adfe49c5..13c0cc75afb81b2d3d40763dc5fca3a616097387 100644
--- a/manifests/batches/oproofs/s00002-r00005220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005220-n000004",
   "batch_fingerprint": "1c23f07bd6c72b731f5f842687823d967480446005214b856d90ae0be77bbc35",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005220-n000004-0000-0d6c1e504a5f1edd.parquet",
-      "sha256": "0d6c1e504a5f1eddfc5098792cefae3aaf6ae7625a039a0e13ca4ca8a5dfdda8",
-      "bytes": 152111,
-      "rows": 16,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005221.lean\",\"062f9a6297bea9d90537ccdbdea2dd873a3bc9dfa95f98a64f605984f638bd0e\",0,\"lean_workbook_plus_51766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005222.lean\",\"fb8d8bfa79c00244b576de97ae733dc9d578638ef084d93e1ac7872a358c4691\",0,\"lean_workbook_plus_44559\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005223.lean\",\"ee97c0e00c6db8206bc6656c2683cce65b3eeecca6d1f0038c99f5fbd48e5653\",0,\"lean_workbook_plus_57260\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152111,
+      "path": "data/train/pb6/oproofs-s00002-r00005220-n000004-0000-0d6c1e504a5f1edd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0d6c1e504a5f1eddfc5098792cefae3aaf6ae7625a039a0e13ca4ca8a5dfdda8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005224-n000004.json b/manifests/batches/oproofs/s00002-r00005224-n000004.json
index ed77607e869241d21fb8918c3954df434f5ea8e9..98d611438019368c40b6cda7f51cd8293ff1c4ed 100644
--- a/manifests/batches/oproofs/s00002-r00005224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005224-n000004",
   "batch_fingerprint": "8bdf1bb75770d3b0cff691c0bd07bf036271985a99c2339ced0a6c8f4c9496e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005224-n000004-0000-808df8ed36674a54.parquet",
-      "sha256": "808df8ed36674a548a9d21957e9186136c22f507dc9df34732760e5a981e478b",
-      "bytes": 224459,
-      "rows": 16,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005225.lean\",\"92d964d373cee5f3c2ea77b34eacb9b76ce5a181faee2de0f5d307db78fede26\",0,\"lean_workbook_plus_12067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005226.lean\",\"9bab0b2e4048df69dcc3255d4ac6f64a819b034a53e0e4a530d1c6fd7ae46009\",0,\"lean_workbook_plus_56997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005227.lean\",\"39ac7a257c852273f5c7643255bfcbb5373048a13a0faba928f82667fb7eb51e\",0,\"lean_workbook_plus_59743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224459,
+      "path": "data/train/p61/oproofs-s00002-r00005224-n000004-0000-808df8ed36674a54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "808df8ed36674a548a9d21957e9186136c22f507dc9df34732760e5a981e478b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005228-n000004.json b/manifests/batches/oproofs/s00002-r00005228-n000004.json
index a57c53082dfc8ffc5074be982decf7dfa59ba619..19b047bfd30950a86868812ecabb2be78b36091d 100644
--- a/manifests/batches/oproofs/s00002-r00005228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005228-n000004",
   "batch_fingerprint": "18b58302ab7fb0ba830a42d6d551132033d64a18007f2ed72082ff4072bc90cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005228-n000004-0000-a2d855f44a5a741d.parquet",
-      "sha256": "a2d855f44a5a741dcd621f3fd9529051c165cacaa3b38c1604de34d4122c418d",
-      "bytes": 135123,
-      "rows": 14,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5229",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005229.lean\",\"a07d7baa83479e0ea9f11956aeac29ff5e49179de4b0800fca5e3cc7418719bb\",0,\"lean_workbook_plus_36857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005230.lean\",\"6bc78f238393da26a753b2976eff02d51f6614354e494d0d068de99c801a3039\",0,\"lean_workbook_plus_71365\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005231.lean\",\"23ace7542cb5885f2526bd9d5ce6f9ba36758f03b3c99b08d67eb84b8970d250\",0,\"lean_workbook_plus_78804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135123,
+      "path": "data/train/p04/oproofs-s00002-r00005228-n000004-0000-a2d855f44a5a741d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a2d855f44a5a741dcd621f3fd9529051c165cacaa3b38c1604de34d4122c418d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005232-n000004.json b/manifests/batches/oproofs/s00002-r00005232-n000004.json
index de281729803106a4b05c4a243f689c2537c10119..9c541a3aa0beb9645c5c7044848176697383d10e 100644
--- a/manifests/batches/oproofs/s00002-r00005232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005232-n000004",
   "batch_fingerprint": "97c11d6ab59d6a4a89ebd171d4d8547b2ae5524796c34f2b6ba39f20359defe7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005232-n000004-0000-da06058d6a57e4c8.parquet",
-      "sha256": "da06058d6a57e4c836b87c888dc9f6405c667116b9b3c1a19eff87671503e4f7",
-      "bytes": 695929,
-      "rows": 19,
-      "revision": "8038359755df00b566d080cfd228dc0a4ca9c083"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005232-n000004-0000-89da84e91f750e88.parquet",
-      "sha256": "89da84e91f750e880e9109f098e37b2bd43880b7cefd201b5469b97c37999389",
-      "bytes": 132420,
-      "rows": 6,
-      "revision": "8038359755df00b566d080cfd228dc0a4ca9c083"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5233",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005233.lean\",\"d763cddaa6938020cd197b9dc9ecfaeea4210ce5cd85c5e317162f9e72578389\",0,\"lean_workbook_48377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005234.lean\",\"5ca9cd6e0610b98ad4a67e2ea55ae62c3037ace4db5bebac43588dba2eae9626\",0,\"lean_workbook_32387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005235.lean\",\"558848254a739c0fa37d9da6208bc5557af6eadfa052fc3c20c587a57c2a8a2e\",0,\"lean_workbook_14546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 695929,
+      "path": "data/train/p8c/oproofs-s00002-r00005232-n000004-0000-da06058d6a57e4c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "da06058d6a57e4c836b87c888dc9f6405c667116b9b3c1a19eff87671503e4f7"
+    },
+    {
+      "bytes": 132420,
+      "path": "data/internal_test/p8c/oproofs-s00002-r00005232-n000004-0000-89da84e91f750e88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "89da84e91f750e880e9109f098e37b2bd43880b7cefd201b5469b97c37999389"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005236-n000004.json b/manifests/batches/oproofs/s00002-r00005236-n000004.json
index e59e12947a3fcd5853c0f551aaf263b2d0eb838a..781f8abd9ac8e1a455b76948746c4a4bfb0f5e38 100644
--- a/manifests/batches/oproofs/s00002-r00005236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005236-n000004",
   "batch_fingerprint": "99bde0ebb98b6c67a1024c1301c7a7d2f05bc059bb8b46f26a6259ae6c016e2e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005236-n000004-0000-71fa8f401aaca8f0.parquet",
-      "sha256": "71fa8f401aaca8f0825716668e21b3180ad0f16061c890415ea181d07abdc971",
-      "bytes": 88606,
-      "rows": 8,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005236-n000004-0000-0e4805211b04d366.parquet",
-      "sha256": "0e4805211b04d366f6a59fde7fbc949cb9ca2d0023c7fc2439c78fe97fbce612",
-      "bytes": 154439,
-      "rows": 7,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005237.lean\",\"4f8261f3c33ae0797cc597633105b9e3c8dff23f0ce718ee034776b2a3673163\",0,\"lean_workbook_29135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005238.lean\",\"5540f2e8eb03e1fd275c17911aa937e49cac96e8045bfa7089df09d23b239ff8\",0,\"lean_workbook_43305\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005239.lean\",\"bb4371ab29f53e6f7fc193d689ee1406318136ce46281cb0c0c7f7719f136bfd\",0,\"lean_workbook_plus_47306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88606,
+      "path": "data/train/pbc/oproofs-s00002-r00005236-n000004-0000-71fa8f401aaca8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "71fa8f401aaca8f0825716668e21b3180ad0f16061c890415ea181d07abdc971"
+    },
+    {
+      "bytes": 154439,
+      "path": "data/dev/pbc/oproofs-s00002-r00005236-n000004-0000-0e4805211b04d366.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0e4805211b04d366f6a59fde7fbc949cb9ca2d0023c7fc2439c78fe97fbce612"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005240-n000004.json b/manifests/batches/oproofs/s00002-r00005240-n000004.json
index ab64ad3ce71b19a47403f4f79c5a465ba699661b..cdf07a71513d2184c1a225c70a6d26b56a176818 100644
--- a/manifests/batches/oproofs/s00002-r00005240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005240-n000004",
   "batch_fingerprint": "a37685b0ddd0c22f0beb5d1d8b9275e76b37c4acfd5b9464d07e19cefed47a44",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005240-n000004-0000-b5026bd4399d9ba6.parquet",
-      "sha256": "b5026bd4399d9ba6ea4cdcc2c5dea5680f7301df8ee79181d0117c8937e4c755",
-      "bytes": 116401,
-      "rows": 13,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005241.lean\",\"610f0c1177ae715874e370d9c796d671904f9c7b99c6fc02f637fd796dec3b81\",0,\"lean_workbook_40596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005242.lean\",\"ed07a778ca6e97ddd3456fbcf2c53985593735dceab2dc44a569e76584b18756\",0,\"lean_workbook_13400\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005243.lean\",\"76c949eb4a1861f5a23641980efd13d24f9bf1e1b34ee193e97518ca19659d2a\",0,\"lean_workbook_plus_73099\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116401,
+      "path": "data/train/p5e/oproofs-s00002-r00005240-n000004-0000-b5026bd4399d9ba6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b5026bd4399d9ba6ea4cdcc2c5dea5680f7301df8ee79181d0117c8937e4c755"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005244-n000004.json b/manifests/batches/oproofs/s00002-r00005244-n000004.json
index 99be6cd0e804527629ada91899be18a1dc9c582e..ecdb3b599e094e9379e10724717dd9afcdc4cae4 100644
--- a/manifests/batches/oproofs/s00002-r00005244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005244-n000004",
   "batch_fingerprint": "d3d93bc07f1a5a23098d1cc0e721d49714222c2990269ef3860d37f939319377",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005244-n000004-0000-78785172651b1bfc.parquet",
-      "sha256": "78785172651b1bfcd9ce79370eabd8fe0d3dcce552fa655356e864bc427fc968",
-      "bytes": 305090,
-      "rows": 13,
-      "revision": "f4f21782e41f7fb4b4fe89906e71e1a14171abf1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005245.lean\",\"ee755a4e804015f8410089a7ea173f0220b5cd18e501b20c969901dce07d1306\",0,\"lean_workbook_plus_26115\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005246.lean\",\"febb714aa33d4b93005cd45fb2f453614cd390f2c55aea15798012256e9ae8d3\",0,\"lean_workbook_22964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005247.lean\",\"74e36a658614caca6ba84cd2cb51c4f77596b78a04722c3e17ad4543b588302c\",0,\"lean_workbook_plus_60786\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305090,
+      "path": "data/train/pba/oproofs-s00002-r00005244-n000004-0000-78785172651b1bfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "78785172651b1bfcd9ce79370eabd8fe0d3dcce552fa655356e864bc427fc968"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005248-n000004.json b/manifests/batches/oproofs/s00002-r00005248-n000004.json
index 9ebc730aac75e4ffd2efac4747c482c31052a1da..f815354176adaead1ae1e39125d4596ef7d094f0 100644
--- a/manifests/batches/oproofs/s00002-r00005248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005248-n000004",
   "batch_fingerprint": "a039b2a849b9c70b6b89c5134479ae9e064eead9d03d954df12d8e7b4671a3a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005248-n000004-0000-24a8488e0e1c960d.parquet",
-      "sha256": "24a8488e0e1c960d1b332d42858dc03709ebce3f25b2f1361a3fd1fa3842c153",
-      "bytes": 329069,
-      "rows": 12,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005248-n000004-0000-7f906bed3d0c2464.parquet",
-      "sha256": "7f906bed3d0c2464449e9c1816b621812dc6f77d059483ec27199d2e35f94881",
-      "bytes": 321378,
-      "rows": 7,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005249.lean\",\"3a1f2ee67b23030fefa07dc75ce8c7a2ef521fab815c59ba561f4c668d48d3b5\",0,\"lean_workbook_plus_15714\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005250.lean\",\"ea3e0be3c4d26f581575ed72b77570582b6d180394edac62b823fe0d382ecb5a\",0,\"lean_workbook_plus_51380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005251.lean\",\"80a50746e508b6040ddf36f9553a49120d4f8cd0fc34764af5ed99f940880ee2\",0,\"lean_workbook_42356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329069,
+      "path": "data/train/p5a/oproofs-s00002-r00005248-n000004-0000-24a8488e0e1c960d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "24a8488e0e1c960d1b332d42858dc03709ebce3f25b2f1361a3fd1fa3842c153"
+    },
+    {
+      "bytes": 321378,
+      "path": "data/internal_test/p5a/oproofs-s00002-r00005248-n000004-0000-7f906bed3d0c2464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7f906bed3d0c2464449e9c1816b621812dc6f77d059483ec27199d2e35f94881"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005252-n000004.json b/manifests/batches/oproofs/s00002-r00005252-n000004.json
index 32ebc471a5fef16f2a6fa6258b8c31d1ca113406..fb46c6baaaae288b3f6f1278029776da6d643a42 100644
--- a/manifests/batches/oproofs/s00002-r00005252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005252-n000004",
   "batch_fingerprint": "c0dfa1115c7ac34252152a4d6ead9b2413bbba2a502ceb5c212e455fe69a3739",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005252-n000004-0000-a49272ce0c4e21b2.parquet",
-      "sha256": "a49272ce0c4e21b23a50a068817c711cbdc74a3e12ae6ff99dd81ad86e15d0c9",
-      "bytes": 279831,
-      "rows": 20,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005253.lean\",\"7c34fe34035a752b8e8eb01d523a853af3b5f6994c1b93f48142ca9eff648b07\",0,\"lean_workbook_plus_68158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005254.lean\",\"eafd5d9e1c1b2c3313db6611ad7feb883a5600fcc061b99f1000b3aac8b0145a\",0,\"lean_workbook_plus_28470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005255.lean\",\"63c839eb1b856e6faf68d3eb2f85c069dd87193f9c3fa528d7d3515b67b04e43\",0,\"work_completion_time\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279831,
+      "path": "data/train/p3d/oproofs-s00002-r00005252-n000004-0000-a49272ce0c4e21b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a49272ce0c4e21b23a50a068817c711cbdc74a3e12ae6ff99dd81ad86e15d0c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005256-n000004.json b/manifests/batches/oproofs/s00002-r00005256-n000004.json
index 916bf8c24c293cec18a41bd0b33b8d65ff7a62b0..c18c29ae5ffce102fc66bd47a4bbedf35ab8c110 100644
--- a/manifests/batches/oproofs/s00002-r00005256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005256-n000004",
   "batch_fingerprint": "a4f130ed2be43229d16411be14cccab69adfdd922a0322db4d0cf8f140657748",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005256-n000004-0000-dffe5e57a2c6f79a.parquet",
-      "sha256": "dffe5e57a2c6f79ad2ea17f8c27c5d4e3a0a35b8594772b900c6f939dab77eb2",
-      "bytes": 116630,
-      "rows": 13,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005256-n000004-0000-cac791599b861aad.parquet",
-      "sha256": "cac791599b861aad451b51ff28ee9354b2807e37df89176a90758f518c934e4d",
-      "bytes": 423025,
-      "rows": 14,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005257.lean\",\"257f9087039591a6700f6c8a7816214d97ec5d2b02a31fc3903def37bc0de5f2\",0,\"lean_workbook_plus_41040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005258.lean\",\"dcdcee9584d4bec0675dab9ad700265164690a60742cb7fa081ff223bcfe74b1\",0,\"lean_workbook_30099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005259.lean\",\"bcd72a099fb4e539f0f6e0e6202daffc5df6539aa276207b783ddf05beb65832\",0,\"lean_workbook_plus_15136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116630,
+      "path": "data/train/paf/oproofs-s00002-r00005256-n000004-0000-dffe5e57a2c6f79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dffe5e57a2c6f79ad2ea17f8c27c5d4e3a0a35b8594772b900c6f939dab77eb2"
+    },
+    {
+      "bytes": 423025,
+      "path": "data/internal_test/paf/oproofs-s00002-r00005256-n000004-0000-cac791599b861aad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cac791599b861aad451b51ff28ee9354b2807e37df89176a90758f518c934e4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005260-n000004.json b/manifests/batches/oproofs/s00002-r00005260-n000004.json
index 46788033d8ba45664807f745451180d36e92d274..f3acbece9e1b2823973904fed91123e6c0247345 100644
--- a/manifests/batches/oproofs/s00002-r00005260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005260-n000004",
   "batch_fingerprint": "e978c5dc603bc7f1a511c8389fdffa966444283421baaf8d40004330ced60b51",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005260-n000004-0000-816f469ee9d3561e.parquet",
-      "sha256": "816f469ee9d3561ed42d4dd3231e27d3fd56ba2fb2b84d151bfcf3c38b2eb98d",
-      "bytes": 81981,
-      "rows": 8,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005260-n000004-0000-4271b8de46a56ea7.parquet",
-      "sha256": "4271b8de46a56ea71e40eb9d2960b23f41164d228b72f6f43bde4441a5fb508b",
-      "bytes": 49680,
-      "rows": 4,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005261.lean\",\"5cdc2c2dafb16a34d5760669bfd3b92ac9507ba80ec3676de6b89ef8347e5b19\",0,\"lean_workbook_plus_63667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005262.lean\",\"81cfe46307f6f7031868fbceb467db800e1ce4798f805dd2a725cab5d91b1b01\",0,\"lean_workbook_plus_36950\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005263.lean\",\"d012bbc2af37e66ffe64d98fac22b8ae8e928f967600826db304ce530cf3d43a\",0,\"lean_workbook_plus_28012\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81981,
+      "path": "data/train/pf3/oproofs-s00002-r00005260-n000004-0000-816f469ee9d3561e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "816f469ee9d3561ed42d4dd3231e27d3fd56ba2fb2b84d151bfcf3c38b2eb98d"
+    },
+    {
+      "bytes": 49680,
+      "path": "data/internal_test/pf3/oproofs-s00002-r00005260-n000004-0000-4271b8de46a56ea7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4271b8de46a56ea71e40eb9d2960b23f41164d228b72f6f43bde4441a5fb508b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005264-n000004.json b/manifests/batches/oproofs/s00002-r00005264-n000004.json
index 5dae9a3370128e030c49d61b3a9a888232e2057c..5899272e76574ed78aee47326051320d65fdf435 100644
--- a/manifests/batches/oproofs/s00002-r00005264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005264-n000004",
   "batch_fingerprint": "2f77e2388e6d6112c52303aadbedfa64bbad5ba58a3860c705ffb2dc58defd95",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005264-n000004-0000-613268c00ca550d1.parquet",
-      "sha256": "613268c00ca550d15015b0d2dff19a4cc14f4e185fabbbaed3e78a49057ce295",
-      "bytes": 148267,
-      "rows": 9,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005264-n000004-0000-4ba00172b6893485.parquet",
-      "sha256": "4ba00172b68934856c03b69a70d0997fc4525d5684e5962613da8e6e0befa208",
-      "bytes": 137909,
-      "rows": 7,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005265.lean\",\"f80ce4e0109cfc096e7fc9c0cec3d3db6b50fd1e7f862814e86136a854eaaf34\",0,\"lean_workbook_26485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005266.lean\",\"fc92be163133ee0b8510f374323f876915e0fb26ca0c50c62e63bb9b4d289309\",0,\"lean_workbook_plus_18781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005267.lean\",\"9cba52c19d4ced0d10ddcf9066a22989aa4150e4ef748a1971dd3f26994aa485\",0,\"lean_workbook_plus_69867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148267,
+      "path": "data/train/p92/oproofs-s00002-r00005264-n000004-0000-613268c00ca550d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "613268c00ca550d15015b0d2dff19a4cc14f4e185fabbbaed3e78a49057ce295"
+    },
+    {
+      "bytes": 137909,
+      "path": "data/dev/p92/oproofs-s00002-r00005264-n000004-0000-4ba00172b6893485.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4ba00172b68934856c03b69a70d0997fc4525d5684e5962613da8e6e0befa208"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005268-n000004.json b/manifests/batches/oproofs/s00002-r00005268-n000004.json
index 54c96e451b9d58319fac94b0ec0aed3631a6d6b3..15d65c91c1b89d98c7662b6869e55aadc7a465ab 100644
--- a/manifests/batches/oproofs/s00002-r00005268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005268-n000004",
   "batch_fingerprint": "e92cb0e2f87b3e0c5e9901fa6bab276a66d04f9eed4a8f1668d2462815538ef5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005268-n000004-0000-4527c7d29134ae21.parquet",
-      "sha256": "4527c7d29134ae21c77041abe9c9dc451ff5c67500feab6b4f5143700453d5a5",
-      "bytes": 139909,
-      "rows": 19,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005268-n000004-0000-af66c8ba09194237.parquet",
-      "sha256": "af66c8ba09194237b9327b1aae0d5dac61358659f40b74d685c807743ce04ab0",
-      "bytes": 74809,
-      "rows": 3,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5269",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005269.lean\",\"66fe9a734b5badba416e463be47d3b3177ddcf94a4102550247cf19cf8b04e79\",0,\"lean_workbook_plus_21464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005270.lean\",\"ad702d226771986253b23aa84df8cfee48accd8d583e2bdca31105edeb6d7f33\",0,\"lean_workbook_plus_74020\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005271.lean\",\"b233c85ef45301f92e7b87723bab19eb93e6d4ed9142c7610a68c9e81a264b64\",0,\"lean_workbook_37407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139909,
+      "path": "data/train/pa9/oproofs-s00002-r00005268-n000004-0000-4527c7d29134ae21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4527c7d29134ae21c77041abe9c9dc451ff5c67500feab6b4f5143700453d5a5"
+    },
+    {
+      "bytes": 74809,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00005268-n000004-0000-af66c8ba09194237.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "af66c8ba09194237b9327b1aae0d5dac61358659f40b74d685c807743ce04ab0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005272-n000004.json b/manifests/batches/oproofs/s00002-r00005272-n000004.json
index c622099671e2927835227ce696d9bcab6b39f298..c2a7b69c7af5e246e2ac74ebcfca64418da34898 100644
--- a/manifests/batches/oproofs/s00002-r00005272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005272-n000004",
   "batch_fingerprint": "d25a8e225baa3c6d940953a39029efbb90496c7b9996bfdc2e592ccb1752a5b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005272-n000004-0000-7aa275b679c2326e.parquet",
-      "sha256": "7aa275b679c2326ecba2701727a3f342f25f62a806aec4ac9289a75918dac973",
-      "bytes": 155104,
-      "rows": 12,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005273.lean\",\"354693ec95b266d6537b1277377d2f5bcac9635538686af7499d98e8c725347d\",0,\"lean_workbook_plus_13344\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005274.lean\",\"fd3c3750c92f4472ca28904f2093dc74d115a1f6f482aff59b21335617865987\",0,\"lean_workbook_plus_62615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005275.lean\",\"ab524369a07934a6dab6ec841d3023495d5644dc176c68559ccf79a1ffbca400\",0,\"lean_workbook_plus_51699\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155104,
+      "path": "data/train/p16/oproofs-s00002-r00005272-n000004-0000-7aa275b679c2326e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "7aa275b679c2326ecba2701727a3f342f25f62a806aec4ac9289a75918dac973"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005276-n000004.json b/manifests/batches/oproofs/s00002-r00005276-n000004.json
index 211e17a390bca847dced3b369261dd3d49373fc6..09490ee834348054944de162e0ce49c33717ef83 100644
--- a/manifests/batches/oproofs/s00002-r00005276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005276-n000004",
   "batch_fingerprint": "b34393e955f724be85e61f2eec53bf44c0c410e2904870120bbd1d10b3d8e459",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005276-n000004-0000-f8a0c60a59ff9d57.parquet",
-      "sha256": "f8a0c60a59ff9d579e843af894e2735503c6a5fe4dc6613e48d16b1f5ab6106c",
-      "bytes": 239283,
-      "rows": 28,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005277.lean\",\"b057cd3a9298da3b3c652985810d507c93b0c925cabf247036616ce241efd4c8\",0,\"common_divisors_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005278.lean\",\"1e7c2228b797712a6c24d457de47227df394ab4bc510d368fc93c0ec83421e60\",0,\"lean_workbook_plus_17740\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005279.lean\",\"dd02563a2e199bf30b933a1e607e48a0fc23b96a367970a82e5ea81a73d4d90d\",0,\"lean_workbook_plus_49847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239283,
+      "path": "data/train/p99/oproofs-s00002-r00005276-n000004-0000-f8a0c60a59ff9d57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f8a0c60a59ff9d579e843af894e2735503c6a5fe4dc6613e48d16b1f5ab6106c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005280-n000004.json b/manifests/batches/oproofs/s00002-r00005280-n000004.json
index c340fbe1345122df77316df7a4631c7732ab9329..b50f23b847f8c063e1d3514a964c4c712c5cd41a 100644
--- a/manifests/batches/oproofs/s00002-r00005280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005280-n000004",
   "batch_fingerprint": "734dce32938007922a5c1aebf3e3803f68d410f60657d03eb61cd870bda3b8d4",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5280",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5281",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5282",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5283"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005280.lean\",\"cca587f1c509de9c01ca555f776ebc0a5fb697bb0595a6c780cf2866d41f4941\",0,\"lean_workbook_plus_50170\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005281.lean\",\"bb930c7d5b6ff8eeb4a631437c78a4259500f4979804d5f463f9b8466d480632\",0,\"lean_workbook_12336\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005282.lean\",\"75004ae9f4cd18769037e5c999656b7fec52bb0d490e72ccb80e5889df26712c\",0,\"lean_workbook_plus_33358\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005283.lean\",\"c3d5edc53a78c67160cc365088ac9beb06b84ee8e1c53c976ce7f2516d7e3175\",0,\"lean_workbook_plus_14817\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005280-n000004-0000-e51662c0eb662763.parquet",
-      "sha256": "e51662c0eb662763068dde6259e24f814a32bcc995f9b42f6061a158661858c0",
       "bytes": 104251,
+      "path": "data/train/p64/oproofs-s00002-r00005280-n000004-0000-e51662c0eb662763.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "e51662c0eb662763068dde6259e24f814a32bcc995f9b42f6061a158661858c0"
     },
     {
-      "path": "data/train/oproofs-s00002-r00005280-n000004-0001-93bff69dbb377efa.parquet",
-      "sha256": "93bff69dbb377efaa32f0cb5b7a616a5765f2954312edbae3cba4594aed69d7d",
       "bytes": 2629736,
+      "path": "data/train/p64/oproofs-s00002-r00005280-n000004-0001-93bff69dbb377efa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "93bff69dbb377efaa32f0cb5b7a616a5765f2954312edbae3cba4594aed69d7d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00005280-n000004-0002-fe23bcf897bb2b9f.parquet",
-      "sha256": "fe23bcf897bb2b9fae80744e83ef63c2c3cc8de5f9e029f432fff7c74212e083",
       "bytes": 43693,
+      "path": "data/train/p64/oproofs-s00002-r00005280-n000004-0002-fe23bcf897bb2b9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "fe23bcf897bb2b9fae80744e83ef63c2c3cc8de5f9e029f432fff7c74212e083"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005280-n000004-0000-e339c695b6788284.parquet",
-      "sha256": "e339c695b67882848cff701a1d55f2925b7c5fbabd6131293cd69cb90a05accc",
       "bytes": 105855,
+      "path": "data/internal_test/p64/oproofs-s00002-r00005280-n000004-0000-e339c695b6788284.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "e339c695b67882848cff701a1d55f2925b7c5fbabd6131293cd69cb90a05accc"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5280",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5281",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5282",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5283"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005280.lean\",\"cca587f1c509de9c01ca555f776ebc0a5fb697bb0595a6c780cf2866d41f4941\",0,\"lean_workbook_plus_50170\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005281.lean\",\"bb930c7d5b6ff8eeb4a631437c78a4259500f4979804d5f463f9b8466d480632\",0,\"lean_workbook_12336\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005282.lean\",\"75004ae9f4cd18769037e5c999656b7fec52bb0d490e72ccb80e5889df26712c\",0,\"lean_workbook_plus_33358\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005283.lean\",\"c3d5edc53a78c67160cc365088ac9beb06b84ee8e1c53c976ce7f2516d7e3175\",0,\"lean_workbook_plus_14817\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005284-n000004.json b/manifests/batches/oproofs/s00002-r00005284-n000004.json
index cc3a1593e1d9ef47813e38effd363cac3b013dd7..b8c87cdefae93efdae84a0dec517753f56a7f0e6 100644
--- a/manifests/batches/oproofs/s00002-r00005284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005284-n000004",
   "batch_fingerprint": "1e93e48423308db725f6bf907001b087363518330212c923322f25366e721e2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005284-n000004-0000-5f4481fab9e4183e.parquet",
-      "sha256": "5f4481fab9e4183e8ff9f921ec88c446d471a27d510b7d6e05aa27e13bac4efc",
-      "bytes": 195198,
-      "rows": 17,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005284-n000004-0000-e4481c5953503062.parquet",
-      "sha256": "e4481c5953503062bf3557bef12f4522ea9c8fcc599cc58c32378e26c4243414",
-      "bytes": 195205,
-      "rows": 6,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005285.lean\",\"a4bff8e99e58f564dad2f6d923c8762f104bf3c198d0ef052c265bfc9172278b\",0,\"lean_workbook_34888\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005286.lean\",\"b3acfcae5c6f00afaaa0c4c2b5b976ad868b2ce65ad2542d3e51d0ce9678e147\",0,\"lean_workbook_plus_14803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005287.lean\",\"85c7896bdc85ddf9e5806219471141cfab1967e19d430966d336700aed0be652\",0,\"lean_workbook_plus_28313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195198,
+      "path": "data/train/p22/oproofs-s00002-r00005284-n000004-0000-5f4481fab9e4183e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5f4481fab9e4183e8ff9f921ec88c446d471a27d510b7d6e05aa27e13bac4efc"
+    },
+    {
+      "bytes": 195205,
+      "path": "data/dev/p22/oproofs-s00002-r00005284-n000004-0000-e4481c5953503062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e4481c5953503062bf3557bef12f4522ea9c8fcc599cc58c32378e26c4243414"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005288-n000004.json b/manifests/batches/oproofs/s00002-r00005288-n000004.json
index 285e5c0ea4bf644ca5292e0470d0dbdd0d88497d..4de0af974d84a2e9197a0ee5bd50b28483ba3750 100644
--- a/manifests/batches/oproofs/s00002-r00005288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005288-n000004",
   "batch_fingerprint": "3ea1bbfce7f74d2dc7d11d701094693527dd6aac9da2cbd97a14f9b0878063ab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005288-n000004-0000-eeff2207b63e806d.parquet",
-      "sha256": "eeff2207b63e806d8983183bb73738fbf9837906ef6f8bed53fa3cebbab22ae2",
-      "bytes": 808453,
-      "rows": 11,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005288-n000004-0000-22eb16966ffb15bd.parquet",
-      "sha256": "22eb16966ffb15bde1fbf60256d107cb844ef17edff9ca67a67d6c3d810e2710",
-      "bytes": 41252,
-      "rows": 4,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005289.lean\",\"b2fdb0e3e98c6c2b371928cadfd0e97638882a31afaa7011e16146a5fb1e0927\",0,\"lean_workbook_plus_20555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005290.lean\",\"11b8b54ce6f0c0a9c5e14fc5bcc85d0d75c0a4b850b81ac53229bc8e5e17de6d\",0,\"lean_workbook_plus_12095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005291.lean\",\"aed21beb6b23f32ce6aed55290cb51ca11fd67c64a7dbc6f37f87d4bea7dd989\",0,\"lean_workbook_plus_71357\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 808453,
+      "path": "data/train/p70/oproofs-s00002-r00005288-n000004-0000-eeff2207b63e806d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "eeff2207b63e806d8983183bb73738fbf9837906ef6f8bed53fa3cebbab22ae2"
+    },
+    {
+      "bytes": 41252,
+      "path": "data/internal_test/p70/oproofs-s00002-r00005288-n000004-0000-22eb16966ffb15bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "22eb16966ffb15bde1fbf60256d107cb844ef17edff9ca67a67d6c3d810e2710"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005292-n000004.json b/manifests/batches/oproofs/s00002-r00005292-n000004.json
index 444678754889e3f3332e5f86aa30026be74fbbb1..8f15d11498c2b055cb4d81ffea6abb2da18503e5 100644
--- a/manifests/batches/oproofs/s00002-r00005292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005292-n000004",
   "batch_fingerprint": "179730d2cb68329bcb5e7d84e67cc3c9378b92fae11b8765f9bfd33170359050",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005292-n000004-0000-57438b0e39ac5ec4.parquet",
-      "sha256": "57438b0e39ac5ec4952eb6242ab417c21e4682d638619c6e3b8323b6b594fd14",
-      "bytes": 84494,
-      "rows": 9,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005292-n000004-0000-5bcb0f8d7a69a28f.parquet",
-      "sha256": "5bcb0f8d7a69a28f4ccce95f413fb32b1bcc87fc7a84d4ab8ba01e7be6dc93ad",
-      "bytes": 119501,
-      "rows": 5,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5293",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005293.lean\",\"608bb4736b1bc97cbbf463be3f0ced5cb58550b8738b881f3c3dd4cb6c58de1d\",0,\"lean_workbook_plus_70141\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005294.lean\",\"b8bdf498cd86e6ca2231d61c39c357714c696a8ca385620af77ca3561b7c0b9d\",0,\"lean_workbook_plus_69068\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005295.lean\",\"cdbdbcfafa7eefb1844341c9a9c8cdb3bd14f1a837f6796c4a287e1dd27e6353\",0,\"lean_workbook_plus_7592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84494,
+      "path": "data/train/p2d/oproofs-s00002-r00005292-n000004-0000-57438b0e39ac5ec4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "57438b0e39ac5ec4952eb6242ab417c21e4682d638619c6e3b8323b6b594fd14"
+    },
+    {
+      "bytes": 119501,
+      "path": "data/dev/p2d/oproofs-s00002-r00005292-n000004-0000-5bcb0f8d7a69a28f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5bcb0f8d7a69a28f4ccce95f413fb32b1bcc87fc7a84d4ab8ba01e7be6dc93ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005296-n000004.json b/manifests/batches/oproofs/s00002-r00005296-n000004.json
index 09dcb97c4a242c124a74a52bc25d5c90268d4947..5a6387f69e84e942a1447ccbe6adf9a52fcb75dc 100644
--- a/manifests/batches/oproofs/s00002-r00005296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005296-n000004",
   "batch_fingerprint": "64ffa0d13f6f7c5e89baaeb30b0741dcd24b25918f601f6d82497432f29d3445",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005296-n000004-0000-e5ddf87e7f38a10e.parquet",
-      "sha256": "e5ddf87e7f38a10e7b43b2cfc8a647e3deb332178c98eb08ce5b8bd51036d2e5",
-      "bytes": 358708,
-      "rows": 26,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005297.lean\",\"4e60fe521e2ef59b27baa268b041b9b6b8f1355006029ed89664078c30a6183c\",0,\"lean_workbook_plus_12570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005298.lean\",\"efb655e9ac81e4a8cf191ad09ecc18b4a8b7de3f778efaa67cab3041f0646fd4\",0,\"grid_path_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005299.lean\",\"bac9f2f12c9cd5bec632ec899f476862d0993e3c3c9d86a7690d1850b37b5be2\",0,\"lean_workbook_10799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358708,
+      "path": "data/train/pfd/oproofs-s00002-r00005296-n000004-0000-e5ddf87e7f38a10e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e5ddf87e7f38a10e7b43b2cfc8a647e3deb332178c98eb08ce5b8bd51036d2e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005300-n000004.json b/manifests/batches/oproofs/s00002-r00005300-n000004.json
index b819c1b75eeb95ce198c6a7a9c70a60ffe5c8f81..c88dcd503d57a4b67b7a0f17d18e21c942c4d0a8 100644
--- a/manifests/batches/oproofs/s00002-r00005300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005300-n000004",
   "batch_fingerprint": "d0ad23b9104bdbb956e338da891eb19f138a43d2575c977b844d549b28ed6049",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005300-n000004-0000-6043d4002a013332.parquet",
-      "sha256": "6043d4002a0133325d04cb9bc9d0560faaec91ccf14c50309edd1e5d4e90f3f3",
-      "bytes": 384753,
-      "rows": 21,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005301.lean\",\"70a31f77f1bf4d385a3bf9e77f73f5372e93f1b60ad5c1ff72475a7b1a4b7d5f\",0,\"lean_workbook_25639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005302.lean\",\"b8bf515d24e7bf9f10b3a889238fff056e4c00fa9e6fbacde6cc86f1a7bd7378\",0,\"lean_workbook_54022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005303.lean\",\"fdb977832d1c73e0d519bddfa6f27701da411d8c3870edb12ad36c333a975cce\",0,\"lean_workbook_44431\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384753,
+      "path": "data/train/p7b/oproofs-s00002-r00005300-n000004-0000-6043d4002a013332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6043d4002a0133325d04cb9bc9d0560faaec91ccf14c50309edd1e5d4e90f3f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005304-n000004.json b/manifests/batches/oproofs/s00002-r00005304-n000004.json
index f3927bca2af155df4067e1cb47f78ff242cab023..27d720423d95a74173ed8d1c1742ba1bf0755207 100644
--- a/manifests/batches/oproofs/s00002-r00005304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005304-n000004",
   "batch_fingerprint": "ba9807877b9f81c62b68d50f96898343ac5d67b2ecaf4f7433d56f5cd7400864",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005304-n000004-0000-14d293038aef7d39.parquet",
-      "sha256": "14d293038aef7d396d3335ed365f6803ffd09e63d787c4a5652ca9db62f9d0ac",
-      "bytes": 190392,
-      "rows": 17,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005305.lean\",\"8d3027c659ec6ee37194bc84ad228d3d434b9da64f7925b5cfe9d8fb7e7a38b5\",0,\"lean_workbook_plus_65633\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005306.lean\",\"d0d365053f669aae64c1581e03e3a77b41a766421bc82a29ca0ca9d99c45d440\",0,\"lean_workbook_plus_40677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005307.lean\",\"16e0024ffd787fde278cf4b6e8db6f9eb5b3d40215ab1e5507e4cd431c17d0eb\",0,\"lean_workbook_21079\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190392,
+      "path": "data/train/p0b/oproofs-s00002-r00005304-n000004-0000-14d293038aef7d39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "14d293038aef7d396d3335ed365f6803ffd09e63d787c4a5652ca9db62f9d0ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005308-n000004.json b/manifests/batches/oproofs/s00002-r00005308-n000004.json
index da2410740a4f67aa8529d47d4d420fe53886e56d..51f48d418e01c617b7d5214d1720a0d685c3718c 100644
--- a/manifests/batches/oproofs/s00002-r00005308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005308-n000004",
   "batch_fingerprint": "10d246a3f6a932ec77c01fd21465f5deb32e8408d29840e5baa1b97b6ead2bf4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005308-n000004-0000-ded762bf9f05b361.parquet",
-      "sha256": "ded762bf9f05b361e41c2a29eceeffd09ec02ee651ea86591d4770d1c603cdca",
-      "bytes": 155736,
-      "rows": 13,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005309.lean\",\"d07b069104a06c8a0da9c391a3d91b48440fc5ac250597bf68a7ff1ce606b7a7\",0,\"lean_workbook_plus_75128\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005310.lean\",\"77c9674a574f5e36e9c65f0bbba42f7c721db54a98a0c0b92e0ca9bac225b2d2\",0,\"lean_workbook_plus_56997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005311.lean\",\"52828ba381936b8e553630ca390bd48eb97cfcd18d099a2d95cbfc5591b61548\",0,\"lean_workbook_plus_59743\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155736,
+      "path": "data/train/p93/oproofs-s00002-r00005308-n000004-0000-ded762bf9f05b361.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ded762bf9f05b361e41c2a29eceeffd09ec02ee651ea86591d4770d1c603cdca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005312-n000004.json b/manifests/batches/oproofs/s00002-r00005312-n000004.json
index 5f14d00ec634690212bf735ac0f07ae23dd634c0..15636a358f92d78cd25a260f2092788232eb91ca 100644
--- a/manifests/batches/oproofs/s00002-r00005312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005312-n000004",
   "batch_fingerprint": "e6f11d882878eca1c65fd045475ab449e570633a76671d82c4c90f66a0d2b0e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005312-n000004-0000-40d8e7d2c24612e6.parquet",
-      "sha256": "40d8e7d2c24612e6a92a6fbf312373120601f10f8cb65ceb81cba61d6fdf6867",
-      "bytes": 185218,
-      "rows": 17,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005313.lean\",\"046ad9f3e4bfe410a8a36bf3153875cd564f8a06a9f008ae535a1ae9ff380f44\",0,\"lean_workbook_plus_78804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005314.lean\",\"d846331603fe1e182415b61e53d38224794e54a73ea29682c62b241dad25bd35\",0,\"lean_workbook_plus_68279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005315.lean\",\"99924e14c77284feef788fd53899bd9e6eeee9626202fdeed8a93aeec47999d7\",0,\"lean_workbook_plus_36857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185218,
+      "path": "data/train/p27/oproofs-s00002-r00005312-n000004-0000-40d8e7d2c24612e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "40d8e7d2c24612e6a92a6fbf312373120601f10f8cb65ceb81cba61d6fdf6867"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005316-n000004.json b/manifests/batches/oproofs/s00002-r00005316-n000004.json
index fdcccb76d92e6128744c253dee4ba44d77d1b1c6..b8f12d67aecbacb691286eb1277efd51cbcc4e8f 100644
--- a/manifests/batches/oproofs/s00002-r00005316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005316-n000004",
   "batch_fingerprint": "6ddf283c6deb2982efaf6d4e5bac8f711466b693ff3469229f13f699ab230947",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005316-n000004-0000-9c051c8091642549.parquet",
-      "sha256": "9c051c80916425492568e5e7cb7a1a183102d168347fb6b611e744b900e40e50",
-      "bytes": 172588,
-      "rows": 12,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005316-n000004-0000-c32cb0f10da60159.parquet",
-      "sha256": "c32cb0f10da6015938c8f95c08f625283682869d05b26cab46da5aae538e4412",
-      "bytes": 100880,
-      "rows": 2,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005317.lean\",\"d9fdd16baa212ef0f24cb6fcf838123cb88fadb2ed3e0d1530bf06f845802ac5\",0,\"lean_workbook_plus_68350\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005318.lean\",\"af65b9e962014bb7b6ddd9f01d49d0149d85b4c0679ad6ab106201667a403314\",0,\"lean_workbook_14546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005319.lean\",\"83bc01ffa9abe2b930790d2952b732d1912857108dd60cf6651f8fa22fa79f48\",0,\"lean_workbook_plus_76022\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172588,
+      "path": "data/train/p4b/oproofs-s00002-r00005316-n000004-0000-9c051c8091642549.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9c051c80916425492568e5e7cb7a1a183102d168347fb6b611e744b900e40e50"
+    },
+    {
+      "bytes": 100880,
+      "path": "data/internal_test/p4b/oproofs-s00002-r00005316-n000004-0000-c32cb0f10da60159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c32cb0f10da6015938c8f95c08f625283682869d05b26cab46da5aae538e4412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005320-n000004.json b/manifests/batches/oproofs/s00002-r00005320-n000004.json
index 1cad85f3d4862adb6efb2a0a62d1c7312a32d0dc..991e9a223f1e11c5e3ca62e63e9aa99a9b29c4e2 100644
--- a/manifests/batches/oproofs/s00002-r00005320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005320-n000004",
   "batch_fingerprint": "04de8be2826b7599b6deb8e771a162248b5a2bfb7b7aed8ac26ebab80903aa87",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005320-n000004-0000-76a1fa8fd2578406.parquet",
-      "sha256": "76a1fa8fd2578406490d62272757d0f01ba492084cf277b45372ab71bee22677",
-      "bytes": 102689,
-      "rows": 12,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005320-n000004-0000-c9a1a2b02c2f77b9.parquet",
-      "sha256": "c9a1a2b02c2f77b9c3cd66e47dfe093003a8b9b1ed9e8fbd3c6c9a9c73d56c63",
-      "bytes": 506594,
-      "rows": 4,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005321.lean\",\"daf1ded43e6ba1938192dadaffb41898e7c53142a03b8aadcb320ac95e1edc64\",0,\"lean_workbook_48377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005322.lean\",\"d650856ac2edcc87e3bca6ef1263438b41287f9df5aba382958acfe828a7a6f9\",0,\"lean_workbook_plus_47306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005323.lean\",\"963a498af50b72e90dd678c544333f103bb6837d8ecea43cae70ff51d167f8e6\",0,\"lean_workbook_plus_33712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102689,
+      "path": "data/train/pb6/oproofs-s00002-r00005320-n000004-0000-76a1fa8fd2578406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "76a1fa8fd2578406490d62272757d0f01ba492084cf277b45372ab71bee22677"
+    },
+    {
+      "bytes": 506594,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00005320-n000004-0000-c9a1a2b02c2f77b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c9a1a2b02c2f77b9c3cd66e47dfe093003a8b9b1ed9e8fbd3c6c9a9c73d56c63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005324-n000004.json b/manifests/batches/oproofs/s00002-r00005324-n000004.json
index 84fa13fce1c8a706977d0bfe367eb7e318d31506..2993ca73dd0c6736fe370ce2214542313ab76ca1 100644
--- a/manifests/batches/oproofs/s00002-r00005324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005324-n000004",
   "batch_fingerprint": "7476b01fa0f4da14161a52d9b2f702f926508359a1806f39dfbd59d3d639a1e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005324-n000004-0000-f2fae7642de134ff.parquet",
-      "sha256": "f2fae7642de134ff4121a545922c2c7b00db02654aa2a6cc4047b1d7cfb9db4b",
-      "bytes": 816284,
-      "rows": 14,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005325.lean\",\"f7b87a6c47212e0dc46bea7304b20a9b880ea5c80ca011abfc14d0a724586cdf\",0,\"lean_workbook_13400\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005326.lean\",\"1fd0afeb96b11015422c2e69b0c7c5949a4ee6fcc68ac1ed6d64cecdab39a257\",0,\"lean_workbook_plus_73099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005327.lean\",\"0e9bdec17e6c56a3018d8d0d12d51b781044bce5746e578f37572d210140e5e6\",0,\"lean_workbook_32387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 816284,
+      "path": "data/train/p55/oproofs-s00002-r00005324-n000004-0000-f2fae7642de134ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f2fae7642de134ff4121a545922c2c7b00db02654aa2a6cc4047b1d7cfb9db4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005328-n000004.json b/manifests/batches/oproofs/s00002-r00005328-n000004.json
index 60fe08aaf53cc6bb74baef61201515c420278132..fb2b2eef5b8d9df597cc27c5bdcb003c338941b5 100644
--- a/manifests/batches/oproofs/s00002-r00005328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005328-n000004",
   "batch_fingerprint": "79277de0b1200784df9ecfdb59f802fcc85e4c0767a53d66557f9bf6e84e852d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005328-n000004-0000-7b6d01f5c9befc67.parquet",
-      "sha256": "7b6d01f5c9befc6739748a74259d5cee872212953c3993b1bc139cb0862ab87d",
-      "bytes": 158665,
-      "rows": 11,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005329.lean\",\"942e00cdb03a8c58055ae6493b560eb4593c3af642d94dd6e6ebd23e3faa73ac\",0,\"lean_workbook_plus_60786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005330.lean\",\"a6910e5fc7934bc5c63708f9dfdddc1b96e2a6edc1e75c3fa2656a6f6d815f40\",0,\"lean_workbook_plus_11458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005331.lean\",\"4ff93325b10b8148839f5f1854278b56e243528ece6be2ebb6c0a646f1e2c659\",0,\"lean_workbook_36756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158665,
+      "path": "data/train/pf6/oproofs-s00002-r00005328-n000004-0000-7b6d01f5c9befc67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7b6d01f5c9befc6739748a74259d5cee872212953c3993b1bc139cb0862ab87d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005332-n000004.json b/manifests/batches/oproofs/s00002-r00005332-n000004.json
index 99f1ea3e899b59c19c9db45ed2bec64d6053059e..786cd085e4bb7a68a1458c8399a41839278a2904 100644
--- a/manifests/batches/oproofs/s00002-r00005332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005332-n000004",
   "batch_fingerprint": "db2a8fc49aad9be20f9d7ed780c644ed9c32d413686eb1bc0ff1547b84b57fd2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005332-n000004-0000-dc6f6d758f6227c7.parquet",
-      "sha256": "dc6f6d758f6227c7e362c6a011aaec51106df3179df1f27112bccf73436775c1",
-      "bytes": 411595,
-      "rows": 14,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005333.lean\",\"7889633d36ae6e749decc93e15a2695c070378b3b4ad78e66b5bda2acb8d9a4b\",0,\"lean_workbook_22964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005334.lean\",\"f0df7c9d4cd8c0135119bf00ea03f1542f2c7de850236c828ea37481be31e109\",0,\"lean_workbook_plus_57402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005335.lean\",\"4dad58e78b9a0ac8f036aee0f24441a297a94014b4fdf7c862d449a2b4a7dc7f\",0,\"lean_workbook_plus_30624\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411595,
+      "path": "data/train/pd7/oproofs-s00002-r00005332-n000004-0000-dc6f6d758f6227c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "dc6f6d758f6227c7e362c6a011aaec51106df3179df1f27112bccf73436775c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005336-n000004.json b/manifests/batches/oproofs/s00002-r00005336-n000004.json
index ff6d63b98026413dd788a77cf400818c5099d5e8..fdb6edeb22e17b006d045fcae8d93dd14173da61 100644
--- a/manifests/batches/oproofs/s00002-r00005336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005336-n000004",
   "batch_fingerprint": "370abc4fbfabb4f206852d1ff23953857fde03766e659acf54b762359bd0d235",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005336-n000004-0000-0f4a9f82e0280b4b.parquet",
-      "sha256": "0f4a9f82e0280b4b16156831782c2f1a7016bd64a23a44846c5d323b1921f3c2",
-      "bytes": 316604,
-      "rows": 27,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005337.lean\",\"678c5cac8d785f71e9e0a812cc1c0fc0e9b8d72d1d88f0e09d20a3cec629ed75\",0,\"lean_workbook_12589\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005338.lean\",\"552788253f17511dc4aba8fe5580389cf7ec9b4c0db6c0cb820f2dca5c6c4010\",0,\"lean_workbook_plus_28470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005339.lean\",\"d6126a757fff74a45e0c0bde8d460c479c7186e2d9d6086e1d2e254d092f6422\",0,\"lean_workbook_42356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316604,
+      "path": "data/train/pb5/oproofs-s00002-r00005336-n000004-0000-0f4a9f82e0280b4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0f4a9f82e0280b4b16156831782c2f1a7016bd64a23a44846c5d323b1921f3c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005340-n000004.json b/manifests/batches/oproofs/s00002-r00005340-n000004.json
index 764d937480f921ee154f146d4131ea982b89e9fe..a4643936cd8db2a00997e3a5aa5e9695105bfb7d 100644
--- a/manifests/batches/oproofs/s00002-r00005340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005340-n000004",
   "batch_fingerprint": "caea8fb2f76d8ea3238d434de846d7123b42b9fd5c2e5b88dc46a03f4a15bd09",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005340-n000004-0000-65ede40a43a5ae3d.parquet",
-      "sha256": "65ede40a43a5ae3d647520ba96491defb5ed373c057d1ef681095115d8564ed3",
-      "bytes": 150809,
-      "rows": 12,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005340-n000004-0000-ffcfea9d046743d5.parquet",
-      "sha256": "ffcfea9d046743d597964f5017c465916f48aeef02c18fcd07dfd049b7b29f3e",
-      "bytes": 205634,
-      "rows": 11,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005341.lean\",\"8718ea3f4d4859e51a39094b8591a90f00aafab9f9beabf08e40ec0503754bef\",0,\"lean_workbook_plus_41040\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005342.lean\",\"c4f74f51165295a64d5c022629d7fd8b644ac656d8798afa1849a89cf729d0d2\",0,\"lean_workbook_52044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005343.lean\",\"eec21c6b837ac4ab175fdc8cd1154f12b8f0f20ab5669ce5e3f30d13687004eb\",0,\"lean_workbook_plus_15136\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150809,
+      "path": "data/train/pbe/oproofs-s00002-r00005340-n000004-0000-65ede40a43a5ae3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "65ede40a43a5ae3d647520ba96491defb5ed373c057d1ef681095115d8564ed3"
+    },
+    {
+      "bytes": 205634,
+      "path": "data/internal_test/pbe/oproofs-s00002-r00005340-n000004-0000-ffcfea9d046743d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ffcfea9d046743d597964f5017c465916f48aeef02c18fcd07dfd049b7b29f3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005344-n000004.json b/manifests/batches/oproofs/s00002-r00005344-n000004.json
index 94fbdfd481faf67bc22f942efc3446254eff5a5f..ba54fdac1bd7012c040c4025049ae2c1f94603ef 100644
--- a/manifests/batches/oproofs/s00002-r00005344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005344-n000004",
   "batch_fingerprint": "843dac20244541c6759eec6cf16a4074ecd7f42552cc98687bea38eed50800d3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005344-n000004-0000-bef4d779d2a163f9.parquet",
-      "sha256": "bef4d779d2a163f970d4d563a4cca1ea2d672b48f5397848e01da94d676215ad",
-      "bytes": 81279,
-      "rows": 14,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005345.lean\",\"e66036c8e7a754722aaffc8b632c9239a05fe657bf50f811f01a3d9cc910dee2\",0,\"lean_workbook_plus_28012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005346.lean\",\"e497cee71ce9a21fb1347bcadbfec0b32dcce0b13469507ab24a443fbe7036a9\",0,\"lean_workbook_26701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005347.lean\",\"4245b2f55dbe0c31eb94540568cfdf96c6de8879ff6f0b2e40228ef2d5a68ffe\",0,\"lean_workbook_plus_55642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81279,
+      "path": "data/train/p6a/oproofs-s00002-r00005344-n000004-0000-bef4d779d2a163f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bef4d779d2a163f970d4d563a4cca1ea2d672b48f5397848e01da94d676215ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005348-n000004.json b/manifests/batches/oproofs/s00002-r00005348-n000004.json
index c2bdf5c07adb6d820d1e3be974329d80da96280a..0078ac426b40c32b33fd5a310ccf1c67f58246c3 100644
--- a/manifests/batches/oproofs/s00002-r00005348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005348-n000004",
   "batch_fingerprint": "0adf105320725a06b545146c34919d852f483a39f42f8a84ef992f371fd8acd8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005348-n000004-0000-7335d9a50bd95a2a.parquet",
-      "sha256": "7335d9a50bd95a2a18bbaf2f2c860528b074f3c2c174e76973f9149591a80eae",
-      "bytes": 159442,
-      "rows": 15,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005348-n000004-0000-8848fddd5cdfde2d.parquet",
-      "sha256": "8848fddd5cdfde2d7e47d26c632ea259e586fd299e059cc9908e46d1fab64174",
-      "bytes": 110894,
-      "rows": 6,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005349.lean\",\"4dcbe71c126bdc78a0ffe60f43d14eba6aea9d5c97b1f38d14636a9e7871575a\",0,\"lean_workbook_plus_69867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005350.lean\",\"6a7a273559761c951b7fdeb07352bc1ae5ecab6cb9ce3698c7bd41a4a5fd7bfd\",0,\"lean_workbook_plus_18781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005351.lean\",\"0ebd09b7a9736925ad9c740976b0b8289c7aae87f6470b67579df0d5a4d69584\",0,\"lean_workbook_plus_47221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159442,
+      "path": "data/train/pd5/oproofs-s00002-r00005348-n000004-0000-7335d9a50bd95a2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7335d9a50bd95a2a18bbaf2f2c860528b074f3c2c174e76973f9149591a80eae"
+    },
+    {
+      "bytes": 110894,
+      "path": "data/dev/pd5/oproofs-s00002-r00005348-n000004-0000-8848fddd5cdfde2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8848fddd5cdfde2d7e47d26c632ea259e586fd299e059cc9908e46d1fab64174"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005352-n000004.json b/manifests/batches/oproofs/s00002-r00005352-n000004.json
index d5c160fbf7e8effb430787f3d6571f518bfffa78..33f6b81b3ea7d768b74b9b3f1ea6990fb6b9a3df 100644
--- a/manifests/batches/oproofs/s00002-r00005352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005352-n000004",
   "batch_fingerprint": "c9d7bed1886f7082e229734caa15194b65620349ae8850216f06dcaaf59f3e64",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5352",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5353",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5354",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5355"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005352.lean\",\"392f187e912b2426b33fa77c613780fbbe9fc30220e006b9dbdd3aadc0e9bf9f\",0,\"lean_workbook_plus_48138\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005353.lean\",\"49f4f422fcaaf8b45f2e97939fe5fde01d7cb099498dc88f1aa7e91e74dbe4ea\",0,\"lean_workbook_plus_21464\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005354.lean\",\"221b73cb88dfb7701a207f756c6cd5dfa9701f912cc7e89e8d42473f73126e9e\",0,\"lean_workbook_plus_74020\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005355.lean\",\"d164963c0a2f458b9dd30ac72682416f55dd901bc56cb94fc3ca64921537cec1\",0,\"lean_workbook_plus_72814\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005352-n000004-0000-913efdac243ae4c0.parquet",
-      "sha256": "913efdac243ae4c05c215bd77e33c8f806dc7ea9b4725a62ac3daab89493883e",
       "bytes": 362178,
+      "path": "data/train/p3b/oproofs-s00002-r00005352-n000004-0000-913efdac243ae4c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "913efdac243ae4c05c215bd77e33c8f806dc7ea9b4725a62ac3daab89493883e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005352-n000004-0000-b0a992069898118b.parquet",
-      "sha256": "b0a992069898118bfed3532b0d513e7c7a7d03a3de8b425c390f52f227374a42",
       "bytes": 560639,
+      "path": "data/dev/p3b/oproofs-s00002-r00005352-n000004-0000-b0a992069898118b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "b0a992069898118bfed3532b0d513e7c7a7d03a3de8b425c390f52f227374a42"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005352-n000004-0000-953a4ac1325ff3b9.parquet",
-      "sha256": "953a4ac1325ff3b985c709047afac1321a51c67836e24b14ea5d8832f8e738a7",
       "bytes": 90248,
+      "path": "data/internal_test/p3b/oproofs-s00002-r00005352-n000004-0000-953a4ac1325ff3b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "2eeacbbd059f9561602da05cbc53019b15f4d50c"
+      "sha256": "953a4ac1325ff3b985c709047afac1321a51c67836e24b14ea5d8832f8e738a7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5352",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5353",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5354",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5355"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005352.lean\",\"392f187e912b2426b33fa77c613780fbbe9fc30220e006b9dbdd3aadc0e9bf9f\",0,\"lean_workbook_plus_48138\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005353.lean\",\"49f4f422fcaaf8b45f2e97939fe5fde01d7cb099498dc88f1aa7e91e74dbe4ea\",0,\"lean_workbook_plus_21464\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005354.lean\",\"221b73cb88dfb7701a207f756c6cd5dfa9701f912cc7e89e8d42473f73126e9e\",0,\"lean_workbook_plus_74020\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005355.lean\",\"d164963c0a2f458b9dd30ac72682416f55dd901bc56cb94fc3ca64921537cec1\",0,\"lean_workbook_plus_72814\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005356-n000004.json b/manifests/batches/oproofs/s00002-r00005356-n000004.json
index 6338ca06f31f1c67254cf889e92a402134528a1a..a9e455e0f91d3e4bbf0781e32b8db9b16113279c 100644
--- a/manifests/batches/oproofs/s00002-r00005356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005356-n000004",
   "batch_fingerprint": "5eae6686e2dd36a2747b63261328c8d474e2867c218bc4c5ceb2f2efaef2e831",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005356-n000004-0000-53f7a364bc5a3480.parquet",
-      "sha256": "53f7a364bc5a348000e8a68afd635e293f6c0214a445bd321b164c2c5fa66968",
-      "bytes": 185660,
-      "rows": 18,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005357.lean\",\"6fee25093dd7cfb97ead7508ae6ba2f95057742bf075baa3e8cae1c4fcd0da84\",0,\"lean_workbook_37407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005358.lean\",\"ddca110f410acd38c554eb0dc04e6d176a7287b25099b002a33b7efbee26e759\",0,\"regular_polygon_vertex_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005359.lean\",\"381e706369cb12722115f049b418135a6641c485bb4dce3de0f0d0709cebed6b\",0,\"lean_workbook_plus_13344\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185660,
+      "path": "data/train/pd5/oproofs-s00002-r00005356-n000004-0000-53f7a364bc5a3480.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "53f7a364bc5a348000e8a68afd635e293f6c0214a445bd321b164c2c5fa66968"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005360-n000004.json b/manifests/batches/oproofs/s00002-r00005360-n000004.json
index c4e1caf1128963e6491885e0a1837788d3797265..2723cc79e0256da935e43cac88c7ae4bbbeff7b0 100644
--- a/manifests/batches/oproofs/s00002-r00005360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005360-n000004",
   "batch_fingerprint": "254576899dfb23d39a540ec886292474d36cf3b305d53e0e52d1cd70c344cf6b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005360-n000004-0000-0dd140c9f7228330.parquet",
-      "sha256": "0dd140c9f7228330a2e98db5567e01a0eb92a587373e602b8657d1b429701c38",
-      "bytes": 131838,
-      "rows": 14,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005360-n000004-0000-f91bb409c036397d.parquet",
-      "sha256": "f91bb409c036397dac5ddb76dcb45a7f9627812c00b904d9410db4e5c49ff653",
-      "bytes": 68451,
-      "rows": 5,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005361.lean\",\"0e9c88e97d701f418d6764b46a5b9e62622ee855e398bf38f9a61b9e9fbc7647\",0,\"lean_workbook_plus_62615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005362.lean\",\"f139dc62e5589356c3059ff492f31161a5c0a861a3d327af8432cbff435ef5c0\",0,\"lean_workbook_plus_50170\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005363.lean\",\"d1dc4c6cdf4566e04581f2d47358eb85f0479827648b5e64fd60e8f3668e3566\",0,\"lean_workbook_plus_49847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131838,
+      "path": "data/train/p3d/oproofs-s00002-r00005360-n000004-0000-0dd140c9f7228330.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0dd140c9f7228330a2e98db5567e01a0eb92a587373e602b8657d1b429701c38"
+    },
+    {
+      "bytes": 68451,
+      "path": "data/internal_test/p3d/oproofs-s00002-r00005360-n000004-0000-f91bb409c036397d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f91bb409c036397dac5ddb76dcb45a7f9627812c00b904d9410db4e5c49ff653"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005364-n000004.json b/manifests/batches/oproofs/s00002-r00005364-n000004.json
index 1d38eef4f6724904572b4cccfdbd61b1d4d6dc7d..7b3a69700babb8c5fac1578ac6b5c41e5cc5e67c 100644
--- a/manifests/batches/oproofs/s00002-r00005364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005364-n000004",
   "batch_fingerprint": "70b20885eaeff73ff1cbbb41a2eb5e6d9cc8ea21a1cb11e2237a94ebc2a1915c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005364-n000004-0000-d4301a5e295239aa.parquet",
-      "sha256": "d4301a5e295239aa4d37b057090e71f1d6295740477a3fece507b088ea2c268c",
-      "bytes": 159450,
-      "rows": 18,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005365.lean\",\"03367f381f091495797f49455e15c3cdd9f7efb63c18c8e15f4783d7cd958ecd\",0,\"lean_workbook_plus_61150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005366.lean\",\"633f5940e1887e6d759aaed64c5dd67d867f641241e5648b37ebfb1d075cbf75\",0,\"lean_workbook_34888\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005367.lean\",\"fbc0797da3c23acf42abfb9568487781ec932eb63151f5b949927082fd36ae4d\",0,\"lean_workbook_plus_14803\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159450,
+      "path": "data/train/p3c/oproofs-s00002-r00005364-n000004-0000-d4301a5e295239aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d4301a5e295239aa4d37b057090e71f1d6295740477a3fece507b088ea2c268c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005368-n000004.json b/manifests/batches/oproofs/s00002-r00005368-n000004.json
index 935fe02a3b3c794a801a0bd9de2c565b9513a657..65bcf5521a1a7064b7aa65409978b3a3513871ec 100644
--- a/manifests/batches/oproofs/s00002-r00005368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005368-n000004",
   "batch_fingerprint": "d431cf1688164a58c3b4a7bbf8e9e1a340f20ab09178cb71280219894f4e9001",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5368",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5369",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5370",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5371"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005368.lean\",\"0bae3ac3048b23ced3b26b328b5bd658ef4a793bff021603cb04f39462401367\",0,\"lean_workbook_41469\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005369.lean\",\"1e30c38af26e98e64f8d9dcd0fa5c5fb62112abf76bf2d5536c0002a982d46bf\",0,\"lean_workbook_plus_12095\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005370.lean\",\"125eb1852b6bbd4a11a80fa2aa6c5aa87738c375abea0d905c0b6d83d0a5f4b9\",0,\"lean_workbook_plus_71357\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005371.lean\",\"6ed0272209fcfe00c7746813ccdf2c5680231a1eb7ab07663206bae707ae8d6d\",0,\"lean_workbook_plus_54188\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005368-n000004-0000-d49e53163c7c9e45.parquet",
-      "sha256": "d49e53163c7c9e45ecdbee5d448e13af0aec1480344f5543064f8cafcbbb2553",
       "bytes": 142779,
+      "path": "data/train/p90/oproofs-s00002-r00005368-n000004-0000-d49e53163c7c9e45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
+      "sha256": "d49e53163c7c9e45ecdbee5d448e13af0aec1480344f5543064f8cafcbbb2553"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005368-n000004-0000-ee775e8c869d142c.parquet",
-      "sha256": "ee775e8c869d142c27e791a7e60b0e3a681cb41c3fc512849b0d21fc4e237aaf",
       "bytes": 111176,
+      "path": "data/dev/p90/oproofs-s00002-r00005368-n000004-0000-ee775e8c869d142c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
+      "sha256": "ee775e8c869d142c27e791a7e60b0e3a681cb41c3fc512849b0d21fc4e237aaf"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005368-n000004-0000-572e810221f0ed4c.parquet",
-      "sha256": "572e810221f0ed4cf6ba09ce7ada5db736bb59a784f1e349ce930f0fb31ef42f",
       "bytes": 42494,
+      "path": "data/internal_test/p90/oproofs-s00002-r00005368-n000004-0000-572e810221f0ed4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
+      "sha256": "572e810221f0ed4cf6ba09ce7ada5db736bb59a784f1e349ce930f0fb31ef42f"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5368",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5369",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5370",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5371"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005368.lean\",\"0bae3ac3048b23ced3b26b328b5bd658ef4a793bff021603cb04f39462401367\",0,\"lean_workbook_41469\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005369.lean\",\"1e30c38af26e98e64f8d9dcd0fa5c5fb62112abf76bf2d5536c0002a982d46bf\",0,\"lean_workbook_plus_12095\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005370.lean\",\"125eb1852b6bbd4a11a80fa2aa6c5aa87738c375abea0d905c0b6d83d0a5f4b9\",0,\"lean_workbook_plus_71357\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005371.lean\",\"6ed0272209fcfe00c7746813ccdf2c5680231a1eb7ab07663206bae707ae8d6d\",0,\"lean_workbook_plus_54188\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005372-n000004.json b/manifests/batches/oproofs/s00002-r00005372-n000004.json
index 245aad9f21efbe3abc70c0890a7a6c8a2291564f..e4eccc1c09b76aa0a94af356e6e628d300c6d89c 100644
--- a/manifests/batches/oproofs/s00002-r00005372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005372-n000004",
   "batch_fingerprint": "ff32372350f1be72909114145c4d499acd201582429243d92b9d3b2efbc1c8eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005372-n000004-0000-3824b9bc2a499fec.parquet",
-      "sha256": "3824b9bc2a499fec49d8065f1f5cd2c1e17156c35c41f7cd1a0af9017c4b3d7c",
-      "bytes": 200758,
-      "rows": 16,
-      "revision": "036a351107df2ab29549bd352d04855c8c9fd90b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005373.lean\",\"6934cc5f249dc33fc75750066a85bcb8fb27aec089bceab80dd4f2e3b4ca02d8\",0,\"lean_workbook_plus_69068\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005374.lean\",\"29588a035cc87762992ec1650d3cb5620c96aa9498ae84e2be151e8a9cd8d5d1\",0,\"lean_workbook_plus_7592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005375.lean\",\"7babdfa1c42f43b762ec21479eac2009c030dc381787b99be761090447747319\",0,\"grid_path_count\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200758,
+      "path": "data/train/p99/oproofs-s00002-r00005372-n000004-0000-3824b9bc2a499fec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3824b9bc2a499fec49d8065f1f5cd2c1e17156c35c41f7cd1a0af9017c4b3d7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005376-n000004.json b/manifests/batches/oproofs/s00002-r00005376-n000004.json
index 5eaeb8873eb5de6df1c3adfe204dee005b0e58ed..451761570b23f750de86749afd29bc1b0d7a43d6 100644
--- a/manifests/batches/oproofs/s00002-r00005376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005376-n000004",
   "batch_fingerprint": "982baffe737ccff59cb2e8f09b3b782be8f35bee02420fb0fe7c7fe21eecc217",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005376-n000004-0000-535eb41257df8ddb.parquet",
-      "sha256": "535eb41257df8ddb78284f9406dcec4c12270d1f012cddcd42dcf74ef1d997ae",
-      "bytes": 301720,
-      "rows": 19,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005376-n000004-0000-fc9f32ba030254df.parquet",
-      "sha256": "fc9f32ba030254dfe8eaf3a1708823a593c0b5bc4213fa87f67868a056104f50",
-      "bytes": 294897,
-      "rows": 12,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005377.lean\",\"74b305005b0bd624c2008d3d73e6d05bb7bb2144b9f39885164e2e7c31e67f27\",0,\"lean_workbook_plus_64522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005378.lean\",\"3df2255b8ce97893efb3d58648b8f077ab514ec2ec8153f9acb9589417f6e5f6\",0,\"lean_workbook_plus_54329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005379.lean\",\"fcaeec14c572537f096de164094f2afbeb06436220f5741318c431a6dff4f206\",0,\"lean_workbook_plus_46385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301720,
+      "path": "data/train/pb5/oproofs-s00002-r00005376-n000004-0000-535eb41257df8ddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "535eb41257df8ddb78284f9406dcec4c12270d1f012cddcd42dcf74ef1d997ae"
+    },
+    {
+      "bytes": 294897,
+      "path": "data/dev/pb5/oproofs-s00002-r00005376-n000004-0000-fc9f32ba030254df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "fc9f32ba030254dfe8eaf3a1708823a593c0b5bc4213fa87f67868a056104f50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005380-n000004.json b/manifests/batches/oproofs/s00002-r00005380-n000004.json
index fe620f9c17f71d2657cc08151822cfaced3da956..d494c30d41423b6f8a2f8055fb1779173d556bab 100644
--- a/manifests/batches/oproofs/s00002-r00005380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005380-n000004",
   "batch_fingerprint": "299f3d509f5be1d98caf8331953b2fd77b80aee3894a69ad30559732fb0d182d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005380-n000004-0000-4b91fdb420192bbe.parquet",
-      "sha256": "4b91fdb420192bbe6cd19af0f14f1280df4102e14db15c8104a916e3bd19a51d",
-      "bytes": 222303,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005381.lean\",\"442aba37b6c7b7c6c4ece774ff5b158db783cd82a769af5adda8bc8a2fc6bdbd\",0,\"lean_workbook_54022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005382.lean\",\"5e635ad6f8f6ab3a0e503e34f511e2d2561cd3d40090dd62df6daa222f565b9d\",0,\"lean_workbook_plus_10815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005383.lean\",\"745e249b011194c635d3e51d667ea3f327e0e43bed394665ab7536955c37350f\",0,\"lean_workbook_plus_40677\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222303,
+      "path": "data/train/p16/oproofs-s00002-r00005380-n000004-0000-4b91fdb420192bbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4b91fdb420192bbe6cd19af0f14f1280df4102e14db15c8104a916e3bd19a51d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005384-n000004.json b/manifests/batches/oproofs/s00002-r00005384-n000004.json
index b9373852ae39ecf3e3022907ef3c0a083465023d..8fec0c2409664e9d9bcef11fc93f541bc1c5d15c 100644
--- a/manifests/batches/oproofs/s00002-r00005384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005384-n000004",
   "batch_fingerprint": "b5a805f4d4bddff7b28410e9178d67b9ef8889159f0a0b6b195f2af6567fdae1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005384-n000004-0000-c5e5242d56fb1996.parquet",
-      "sha256": "c5e5242d56fb199631b61d68941647b7af69c6b00f9f104122ab9952ba079cbc",
-      "bytes": 200458,
-      "rows": 11,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005384-n000004-0000-69d00c37edc9b1b7.parquet",
-      "sha256": "69d00c37edc9b1b735627a2b62d62d838f2c60809d74f6b6534525e26ff7375f",
-      "bytes": 173436,
-      "rows": 2,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005385.lean\",\"6901a66186ab6e22ce1f6708cf1569da85633eac8fc4469c926e01f1bb4abeee\",0,\"lean_workbook_plus_12155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005386.lean\",\"ac52ab79ef9ff901e0ae52ddb29ca7283f8e5e5daef9b098cfabaf849e81a758\",0,\"lean_workbook_plus_28740\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005387.lean\",\"b4a4445d269f0f5bfc7c3b12e10bde2f57ae61044a9c594302a785ced8f1a3c4\",0,\"lean_workbook_10750\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200458,
+      "path": "data/train/paa/oproofs-s00002-r00005384-n000004-0000-c5e5242d56fb1996.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c5e5242d56fb199631b61d68941647b7af69c6b00f9f104122ab9952ba079cbc"
+    },
+    {
+      "bytes": 173436,
+      "path": "data/dev/paa/oproofs-s00002-r00005384-n000004-0000-69d00c37edc9b1b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "69d00c37edc9b1b735627a2b62d62d838f2c60809d74f6b6534525e26ff7375f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005388-n000004.json b/manifests/batches/oproofs/s00002-r00005388-n000004.json
index d59a8ba6911376d83b35d5fa49ae037bff1eeac6..4b6a25ec20dfd928f939b3c1cef7a131bde78c61 100644
--- a/manifests/batches/oproofs/s00002-r00005388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005388-n000004",
   "batch_fingerprint": "7a781b3de3e40d7dd10415a42714d4ee6b357b9ba9131f1e168639414fb60acb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005388-n000004-0000-9695ee05d62f2b07.parquet",
-      "sha256": "9695ee05d62f2b07e992f3c9742f307c171b1c14d500811b61f5b2fbae0b66b6",
-      "bytes": 112393,
-      "rows": 16,
-      "revision": "3d983b7d1ca9a748be771ec5cee023bdb32b958b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005389.lean\",\"6e03a9960370ca7d996a98b153f53298eebc682f8fe69a878c90c4988f6fca31\",0,\"lean_workbook_27962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005390.lean\",\"dfe038ff0a3841b2b53edc74690a1c5d0cfee4d552b91c58b94ff96e2083e941\",0,\"lean_workbook_plus_75128\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005391.lean\",\"82a2f2c8db0e2f261c9a415832cf6de9e4827417066dba8fa93329be398d8ce9\",0,\"lean_workbook_plus_12067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112393,
+      "path": "data/train/p1a/oproofs-s00002-r00005388-n000004-0000-9695ee05d62f2b07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9695ee05d62f2b07e992f3c9742f307c171b1c14d500811b61f5b2fbae0b66b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005392-n000004.json b/manifests/batches/oproofs/s00002-r00005392-n000004.json
index 7721cdac39ae9f2ed27fcf70a087501d1e73fa18..94b25ebcf340a06e20b8fc102b4057490cc2ff89 100644
--- a/manifests/batches/oproofs/s00002-r00005392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005392-n000004",
   "batch_fingerprint": "73b63504afc5c2b78441d13db0af2237aba371da708ac34ac8c93fd4985a3cdd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005392-n000004-0000-e9e85119503f4f99.parquet",
-      "sha256": "e9e85119503f4f998747185839bb79bae94a37d8bf30b6e9eed48b7553144613",
-      "bytes": 435741,
-      "rows": 22,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005393.lean\",\"3038de41c04eeb1e2e525a391487131a624db292bf5c0332c610f91b5f3825c3\",0,\"lean_workbook_14546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005394.lean\",\"5dea912fb596a5b29560e73c059f7cd421ade19a439f94502456a5f490f54828\",0,\"lean_workbook_plus_76022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005395.lean\",\"627b64688c477a30ada736c301e0cc20b79f2064e2c0d7582479c1e7974e3673\",0,\"lean_workbook_plus_38358\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435741,
+      "path": "data/train/p0c/oproofs-s00002-r00005392-n000004-0000-e9e85119503f4f99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e9e85119503f4f998747185839bb79bae94a37d8bf30b6e9eed48b7553144613"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005396-n000004.json b/manifests/batches/oproofs/s00002-r00005396-n000004.json
index f93a770f153961da1f25f6db39c66c62f74f5b48..8848bea84abc7b1c18611c6e20290340710c562c 100644
--- a/manifests/batches/oproofs/s00002-r00005396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005396-n000004",
   "batch_fingerprint": "c3027d4d89c086dc7c26baf4169765852fe4be78b439abbeed9574a170b3b96d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005396-n000004-0000-5977e9997d291fb4.parquet",
-      "sha256": "5977e9997d291fb42ecc08632df7f87eaf14134990c197cc34e79b65fa486fcb",
-      "bytes": 127780,
-      "rows": 19,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005397.lean\",\"d525149353dffb1b08345dc448b576864f3b7a2deef51472184710e496c8ce5d\",0,\"lean_workbook_plus_78804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005398.lean\",\"823c6933086c1fec96f4dbacb8a1e0435f75bdc47a4dce80bb3eb1715a43afb9\",0,\"lean_workbook_plus_56997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005399.lean\",\"5a339c6e8bc0e3729e163ce298c684bdb7cb3c4baa79fdf6b49af98f895bdba7\",0,\"lean_workbook_plus_47306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127780,
+      "path": "data/train/p88/oproofs-s00002-r00005396-n000004-0000-5977e9997d291fb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5977e9997d291fb42ecc08632df7f87eaf14134990c197cc34e79b65fa486fcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005400-n000004.json b/manifests/batches/oproofs/s00002-r00005400-n000004.json
index c895a93ccdb48105c7faa1ee59dfffb09ce6b4d3..45fb33e921ac3b48036aac50559ddec9bc95aeca 100644
--- a/manifests/batches/oproofs/s00002-r00005400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005400-n000004",
   "batch_fingerprint": "9aa3143e5be47a8c5bd41f351b5faa7dd2335d4adf8bb73a93b5d35135390022",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005400-n000004-0000-fec152a23c67a237.parquet",
-      "sha256": "fec152a23c67a23757438d13a02135bf1f06eddce74744bcb81b87e5e597f538",
-      "bytes": 170682,
-      "rows": 12,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005400-n000004-0000-88ef13125d9fea11.parquet",
-      "sha256": "88ef13125d9fea11436130f91b994a61e7144b76b6f3ae4543314ceaff65c2b7",
-      "bytes": 157546,
-      "rows": 3,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005401.lean\",\"432c09381be30411341d004317671192c9ba8c6f40e235ac5e0b4ffa632bdccc\",0,\"lean_workbook_48377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005402.lean\",\"44a5756d2d5e8fd5d73c39dedf1dcb30a66c53b18f9d1ad44d04366092cbcaf8\",0,\"lean_workbook_plus_68279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005403.lean\",\"38cd95821e20ebc9dc2261a88185c6b8e84856e30986b75a5ab3d359c5db7190\",0,\"lean_workbook_13400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170682,
+      "path": "data/train/p55/oproofs-s00002-r00005400-n000004-0000-fec152a23c67a237.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "fec152a23c67a23757438d13a02135bf1f06eddce74744bcb81b87e5e597f538"
+    },
+    {
+      "bytes": 157546,
+      "path": "data/internal_test/p55/oproofs-s00002-r00005400-n000004-0000-88ef13125d9fea11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88ef13125d9fea11436130f91b994a61e7144b76b6f3ae4543314ceaff65c2b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005404-n000004.json b/manifests/batches/oproofs/s00002-r00005404-n000004.json
index f2ded1a2a9d1a94b5b4c8552fa28f2d5ae2de60e..53ee4a8db434b30758bb23d24612a539df295eb9 100644
--- a/manifests/batches/oproofs/s00002-r00005404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005404-n000004",
   "batch_fingerprint": "6660249f68caccfe61dbdf99c08160d60d5a14fa8e3dc6dc7c240416fa7cffbe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005404-n000004-0000-8f0b8a4ef505e660.parquet",
-      "sha256": "8f0b8a4ef505e660547e394d04dc675e7169922a28c05b787b5e24fa3e5b97d3",
-      "bytes": 106505,
-      "rows": 12,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005405.lean\",\"4c7c4e41223fc4d550817b129a1815cb90ac1369909effb8ec15f990cc57f885\",0,\"lean_workbook_plus_26115\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005406.lean\",\"49eb32236d16e2b5d46eb149029e15a6e31ab62f04410241cf1468471198f3cb\",0,\"lean_workbook_plus_60786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005407.lean\",\"a28076548eb67fb0bc5653369a5820f37301ab6a22fe3c180059fc0a4476708d\",0,\"lean_workbook_36756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106505,
+      "path": "data/train/p6e/oproofs-s00002-r00005404-n000004-0000-8f0b8a4ef505e660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8f0b8a4ef505e660547e394d04dc675e7169922a28c05b787b5e24fa3e5b97d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005408-n000004.json b/manifests/batches/oproofs/s00002-r00005408-n000004.json
index 1def761d70e03354a7766c75ebe53f94e075ffe7..0ce6e2ae442fbabb4aeb678491619a87041a1b12 100644
--- a/manifests/batches/oproofs/s00002-r00005408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005408-n000004",
   "batch_fingerprint": "b4a5b90a9a48f249a6060eacb40199a8f0543ac97412020589a3c9ceff314bb4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005408-n000004-0000-1739422362e2f1ba.parquet",
-      "sha256": "1739422362e2f1ba13587f6773bad3b56faae0ded8d0d48f1702e49872a24e3f",
-      "bytes": 322465,
-      "rows": 21,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005409.lean\",\"e13e15fb798a3e2116617fd34acb068632ea1f3c3da2c717f7aec2da4b770aaa\",0,\"lean_workbook_plus_42458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005410.lean\",\"0ba81a6032b0f6143489b184dd341c24910a2e30d26f734ea33e8e5896f74623\",0,\"lean_workbook_plus_11458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005411.lean\",\"f6ae1972b2bd900ce7f7f0f5bd086c806e13a906de9d4b36eca2b6a50239bb0e\",0,\"lean_workbook_plus_57402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322465,
+      "path": "data/train/p84/oproofs-s00002-r00005408-n000004-0000-1739422362e2f1ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1739422362e2f1ba13587f6773bad3b56faae0ded8d0d48f1702e49872a24e3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005412-n000004.json b/manifests/batches/oproofs/s00002-r00005412-n000004.json
index c7c75a3403b3d36840fe2c2254d58ee2d5b98e27..ff888fd634b004c4ebbc583f61c90fe6f3abe29a 100644
--- a/manifests/batches/oproofs/s00002-r00005412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005412-n000004",
   "batch_fingerprint": "2afd17d3da3986ff37dbd6c09d6c7b0362ecad047331e642dac095893c20a931",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005412-n000004-0000-0e35091b18acf225.parquet",
-      "sha256": "0e35091b18acf225a31c93e06519b484b08ea117963034fabff9168485502891",
-      "bytes": 582256,
-      "rows": 14,
-      "revision": "3d983b7d1ca9a748be771ec5cee023bdb32b958b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005413.lean\",\"4357085fd7eca34f6bf993463d6bf040c56a33f2051c8f383cde44c04913f504\",0,\"lean_workbook_22964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005414.lean\",\"c6cceb52b3fc61d8089699d019affccb88bea480969b66ef8fb80afe5bfae252\",0,\"lean_workbook_31247\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005415.lean\",\"febff074b2a62b6e0192a801e53d73bf774ea701f37c326294a7ba3768aa98ff\",0,\"lean_workbook_32387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 582256,
+      "path": "data/train/p30/oproofs-s00002-r00005412-n000004-0000-0e35091b18acf225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0e35091b18acf225a31c93e06519b484b08ea117963034fabff9168485502891"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005416-n000004.json b/manifests/batches/oproofs/s00002-r00005416-n000004.json
index 7a77eb521f8e1f55109773b9ada087469c0426db..547ded22a089c4e81f04272c2aaddfb57eb76a15 100644
--- a/manifests/batches/oproofs/s00002-r00005416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005416-n000004",
   "batch_fingerprint": "dc3c351d66adffdb21b5511b51e0500b4e50cb27972e38f0e71c13c0b692a3b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005416-n000004-0000-f27407dbf6b094e6.parquet",
-      "sha256": "f27407dbf6b094e6b696e2f8ddb81eff0ffe7a46328e38c574e60862e262bcb8",
-      "bytes": 102842,
-      "rows": 11,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005416-n000004-0000-0f20f77fbe27f89d.parquet",
-      "sha256": "0f20f77fbe27f89db57af81f347efd06c18a5e8e2d427cab1d6f73cdd7064217",
-      "bytes": 43961,
-      "rows": 2,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005417.lean\",\"70b78216f512115ac060a9f8e4503631f5755b0e4772b3492b23d4815f5f9197\",0,\"lean_workbook_plus_15136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005418.lean\",\"7675c613b59e41e8477f7406c7279b0113b99b952e5580e9368e4f85a6c9e00d\",0,\"mod_negative_three_hundred\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005419.lean\",\"7d9ab6ca116a8930c328f3e552d2b01ebd368d96108f1955e12a6563670fccf0\",0,\"lean_workbook_plus_36950\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102842,
+      "path": "data/train/p59/oproofs-s00002-r00005416-n000004-0000-f27407dbf6b094e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f27407dbf6b094e6b696e2f8ddb81eff0ffe7a46328e38c574e60862e262bcb8"
+    },
+    {
+      "bytes": 43961,
+      "path": "data/internal_test/p59/oproofs-s00002-r00005416-n000004-0000-0f20f77fbe27f89d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0f20f77fbe27f89db57af81f347efd06c18a5e8e2d427cab1d6f73cdd7064217"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005420-n000004.json b/manifests/batches/oproofs/s00002-r00005420-n000004.json
index b1423aed10e151cb1e51cbf4155b6c2d6ac1ed52..981f3375d8d5dab3d02be51122473cd9ecc6eeef 100644
--- a/manifests/batches/oproofs/s00002-r00005420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005420-n000004",
   "batch_fingerprint": "46393bfc09c3b027c65b95974ea62e90dce57594afd688d459429b2d1d0e563a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005420-n000004-0000-5e12be1264690f59.parquet",
-      "sha256": "5e12be1264690f594f2fa3e9ff07ea7db94d8dbdf446620e8c4e4753c0f4151f",
-      "bytes": 328584,
-      "rows": 16,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005421.lean\",\"deffc7a7201258906f89d24834ddd458ef0b7431f92dd73383a99bd1ebfeff12\",0,\"lean_workbook_plus_28012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005422.lean\",\"a107d0a1958c42338a74e7839449d35af811749084a6e7188a5c8ab9466f35a4\",0,\"lean_workbook_12121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005423.lean\",\"c78024ea68f11f92cb38f5edcb7ac618244f32a68ffde5cfe718a3082f0ad433\",0,\"lean_workbook_18236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328584,
+      "path": "data/train/p64/oproofs-s00002-r00005420-n000004-0000-5e12be1264690f59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5e12be1264690f594f2fa3e9ff07ea7db94d8dbdf446620e8c4e4753c0f4151f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005424-n000004.json b/manifests/batches/oproofs/s00002-r00005424-n000004.json
index 06d7cb67c352f117d041888d394bc7f22d74a208..e0abdae0d30f4e603652094157dcd1d6a5f5ab57 100644
--- a/manifests/batches/oproofs/s00002-r00005424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005424-n000004",
   "batch_fingerprint": "b67864df8381a005066f11a77679d0fe33cc52a5d6b3c21ce80744a903942b2e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005424-n000004-0000-2e63447a88bf9c7b.parquet",
-      "sha256": "2e63447a88bf9c7bee5c999a0f4f930994ac0a919a32bee12938171e1147e63e",
-      "bytes": 421866,
-      "rows": 20,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005424-n000004-0000-3251e33cd6387c9d.parquet",
-      "sha256": "3251e33cd6387c9db1d2ffa45d4fe45f92995a362c78b007ad77780f8daa1b61",
-      "bytes": 65299,
-      "rows": 2,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005425.lean\",\"d8aa62f0d1fb56afb89563752e471fb7871c4dcd0e60bc27657833b3de0ebcab\",0,\"lean_workbook_plus_69867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005426.lean\",\"101b7f761d476767a45dc07c2c00f5a4fab7af9b3eaa0c6e0262d3ab5a77a2da\",0,\"lean_workbook_plus_55642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005427.lean\",\"49ce6ec6108abdda4d0ef5ef6991cd87d9af949c759db3771ddf8eb9b3b00c6d\",0,\"lean_workbook_42356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 421866,
+      "path": "data/train/p51/oproofs-s00002-r00005424-n000004-0000-2e63447a88bf9c7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2e63447a88bf9c7bee5c999a0f4f930994ac0a919a32bee12938171e1147e63e"
+    },
+    {
+      "bytes": 65299,
+      "path": "data/dev/p51/oproofs-s00002-r00005424-n000004-0000-3251e33cd6387c9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3251e33cd6387c9db1d2ffa45d4fe45f92995a362c78b007ad77780f8daa1b61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005428-n000004.json b/manifests/batches/oproofs/s00002-r00005428-n000004.json
index b2bf1ec4cc1e928375c7ad51a70298ed3420bbd5..53279d44fdacc5297218d8b37d5ce10b7b690891 100644
--- a/manifests/batches/oproofs/s00002-r00005428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005428-n000004",
   "batch_fingerprint": "6f5734f95283286883bafb9753047664fe7a2b20864a7117f473fa16b1e09ebf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005428-n000004-0000-89e085fd7514f0b9.parquet",
-      "sha256": "89e085fd7514f0b9e28a63e2d33f0e7bac9dda69fcf077a4407e9ba87a9300a8",
-      "bytes": 183413,
-      "rows": 16,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005428-n000004-0000-502c7cdb93bfea1f.parquet",
-      "sha256": "502c7cdb93bfea1f1beaa0b289ba1e53ac088026803f7aa6f8ff685464935f2f",
-      "bytes": 176385,
-      "rows": 7,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5429",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005429.lean\",\"03411122cf181b44372235e0ae2e64a56aca311819175d9ac102447a61ac084a\",0,\"lean_workbook_plus_21464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005430.lean\",\"e61291d935b43606b105546cded85c22138d6149882dec4d7a7a41b5af4fb98a\",0,\"lean_workbook_26485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005431.lean\",\"ecdaeb5994cb8f9decff258801ff59af298f42ffaa73f20e81715d5b2210f98e\",0,\"lean_workbook_plus_68302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183413,
+      "path": "data/train/p8d/oproofs-s00002-r00005428-n000004-0000-89e085fd7514f0b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "89e085fd7514f0b9e28a63e2d33f0e7bac9dda69fcf077a4407e9ba87a9300a8"
+    },
+    {
+      "bytes": 176385,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00005428-n000004-0000-502c7cdb93bfea1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "502c7cdb93bfea1f1beaa0b289ba1e53ac088026803f7aa6f8ff685464935f2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005432-n000004.json b/manifests/batches/oproofs/s00002-r00005432-n000004.json
index d5d14cf4a8fcce63cc5203bf2356b77f1e3114e5..d5c22b05fd160fcd1609cd5c9537ea34322a62c4 100644
--- a/manifests/batches/oproofs/s00002-r00005432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005432-n000004",
   "batch_fingerprint": "6ab6143a56e93abeeaae264b0c780a218c2e30d63f35d8a11e09b554006b5e7c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005432-n000004-0000-233c772a7c025848.parquet",
-      "sha256": "233c772a7c02584857d54ede904d39376d82007307b3bac1787f61b4a775b971",
-      "bytes": 264340,
-      "rows": 11,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005432-n000004-0000-457137372793cdbd.parquet",
-      "sha256": "457137372793cdbd3db01e197daee85329b25bacaf63f83275938d90d234492f",
-      "bytes": 228124,
-      "rows": 3,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005433.lean\",\"2e4eea1a27945f3293e06e922ddbd2ec40f09a6c059e9b9cf90135175a8a45a9\",0,\"lean_workbook_52044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005434.lean\",\"479325f18027177b07a03ec13c0e31dcc5d6fd5a6c8454eb7a4390cca4be7f23\",0,\"lean_workbook_plus_48138\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005435.lean\",\"8710e10598a6ee30868f28c16ad02e3c2d4e39a9be51a3a2a5d981da01a3d41d\",0,\"lean_workbook_plus_72814\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264340,
+      "path": "data/train/p11/oproofs-s00002-r00005432-n000004-0000-233c772a7c025848.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "233c772a7c02584857d54ede904d39376d82007307b3bac1787f61b4a775b971"
+    },
+    {
+      "bytes": 228124,
+      "path": "data/dev/p11/oproofs-s00002-r00005432-n000004-0000-457137372793cdbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "457137372793cdbd3db01e197daee85329b25bacaf63f83275938d90d234492f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005436-n000004.json b/manifests/batches/oproofs/s00002-r00005436-n000004.json
index 2968be270bb79beb11ca1c0eac223f6c53d370a6..8181a7752483b0cf6b3bbfb53c99822472e7919e 100644
--- a/manifests/batches/oproofs/s00002-r00005436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005436-n000004",
   "batch_fingerprint": "ee3e6d0227091378596d12d021c4ac1888b5b5a779b10b929f806526e006b7b6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005436-n000004-0000-3c2242b55ed17ce6.parquet",
-      "sha256": "3c2242b55ed17ce64ab0fc875cb21a8d24d6503efdaf951b43a069de1d8c97a8",
-      "bytes": 159893,
-      "rows": 11,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005436-n000004-0000-a440433b122f776d.parquet",
-      "sha256": "a440433b122f776d81c3f88e3c27670afab422d2b0010f6768570126c542d334",
-      "bytes": 341532,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005437.lean\",\"8b329560e162e5997b34d57cff66280e62ffed3ddbbc4e87a188402999c18249\",0,\"lean_workbook_plus_62615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005438.lean\",\"855fe6b619c8c732cc75f7feb9af665d281e3ad57005ffd36f430bcbef52202b\",0,\"common_divisors_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005439.lean\",\"eb235ccc785b190c70d68ecddf94669aea03b9e4ada2fee28e77a18995785384\",0,\"lean_workbook_plus_50170\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159893,
+      "path": "data/train/p8c/oproofs-s00002-r00005436-n000004-0000-3c2242b55ed17ce6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3c2242b55ed17ce64ab0fc875cb21a8d24d6503efdaf951b43a069de1d8c97a8"
+    },
+    {
+      "bytes": 341532,
+      "path": "data/internal_test/p8c/oproofs-s00002-r00005436-n000004-0000-a440433b122f776d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a440433b122f776d81c3f88e3c27670afab422d2b0010f6768570126c542d334"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005440-n000004.json b/manifests/batches/oproofs/s00002-r00005440-n000004.json
index f106e94e8c1901c3dfb3be075c4ba6fa7d837a1d..9a488f80212fcc5ffa6c505b8cca113ff0fcb607 100644
--- a/manifests/batches/oproofs/s00002-r00005440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005440-n000004",
   "batch_fingerprint": "227da6f4ff6fdf9c64f04becca36ce73f73fc909505616fbd4ee1fb2e53ccde5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005440-n000004-0000-433b624fdb541fbd.parquet",
-      "sha256": "433b624fdb541fbd673514666ca6a68ddfd51618fce131a657e3e7cdce2094bd",
-      "bytes": 160556,
-      "rows": 16,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005441.lean\",\"83589cafdc9908dae0a680292b4793a232074869a604d5eb3f3964e476a15cf7\",0,\"lean_workbook_12336\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005442.lean\",\"edd0929e3cf6d4649e0aaf9a5d0508281cc675b12bb3483ed287b31ce20be2c6\",0,\"lean_workbook_plus_33358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005443.lean\",\"90bbab9cfd8d5695ef27a52d1c10fc780a2932c6bb2a349ac362c4b99173d015\",0,\"lean_workbook_plus_61150\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160556,
+      "path": "data/train/p63/oproofs-s00002-r00005440-n000004-0000-433b624fdb541fbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "433b624fdb541fbd673514666ca6a68ddfd51618fce131a657e3e7cdce2094bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005444-n000004.json b/manifests/batches/oproofs/s00002-r00005444-n000004.json
index 6cb9776841c356997446072b9a5b17cd3d1ee0ae..9fbf8f880aa0d0e52c2a18460c71ac3660b5dbb4 100644
--- a/manifests/batches/oproofs/s00002-r00005444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005444-n000004",
   "batch_fingerprint": "b9db9e4af7c17d6a3909f04d4082d8090acad4b94a1e0c7d6717451a018fb0f7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5444",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5445",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5446",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5447"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005444.lean\",\"2ed6eff8fb2c11a694343957ae5b93e692bd7cccc19fac87069f8674d013bb88\",0,\"lean_workbook_34888\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005445.lean\",\"8334ba18fc5ebda6fd22c93e08c5587b72559d17fe7a51779588d923641cc4e1\",0,\"lean_workbook_plus_14803\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005446.lean\",\"d098f8570f60a4c8a3311810e03068b2073d84a43213f68a86627c9235c92276\",0,\"lean_workbook_plus_28313\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005447.lean\",\"08f281fb92e4a749c02fbe34033f9ba77faf148770f17fc908f39089f325c1e5\",0,\"lean_workbook_plus_12095\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005444-n000004-0000-520a35df8d74904f.parquet",
-      "sha256": "520a35df8d74904fa753ed78249fbdb63c554e4842d4f0b77657e1ecf6e6eb32",
       "bytes": 149065,
+      "path": "data/train/p92/oproofs-s00002-r00005444-n000004-0000-520a35df8d74904f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
+      "sha256": "520a35df8d74904fa753ed78249fbdb63c554e4842d4f0b77657e1ecf6e6eb32"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005444-n000004-0000-272d9dc06107227b.parquet",
-      "sha256": "272d9dc06107227b72f81fdb8d332b61ad5978f05359d6d732d33f4ed480676f",
       "bytes": 140226,
+      "path": "data/dev/p92/oproofs-s00002-r00005444-n000004-0000-272d9dc06107227b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
+      "sha256": "272d9dc06107227b72f81fdb8d332b61ad5978f05359d6d732d33f4ed480676f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005444-n000004-0000-5dd90e7bcaa7ff99.parquet",
-      "sha256": "5dd90e7bcaa7ff99c8dcc3677055daed256b0dd0a3f7a6724656e4f802e6ec7c",
       "bytes": 45895,
+      "path": "data/internal_test/p92/oproofs-s00002-r00005444-n000004-0000-5dd90e7bcaa7ff99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
+      "sha256": "5dd90e7bcaa7ff99c8dcc3677055daed256b0dd0a3f7a6724656e4f802e6ec7c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5444",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5445",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5446",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5447"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005444.lean\",\"2ed6eff8fb2c11a694343957ae5b93e692bd7cccc19fac87069f8674d013bb88\",0,\"lean_workbook_34888\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005445.lean\",\"8334ba18fc5ebda6fd22c93e08c5587b72559d17fe7a51779588d923641cc4e1\",0,\"lean_workbook_plus_14803\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005446.lean\",\"d098f8570f60a4c8a3311810e03068b2073d84a43213f68a86627c9235c92276\",0,\"lean_workbook_plus_28313\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005447.lean\",\"08f281fb92e4a749c02fbe34033f9ba77faf148770f17fc908f39089f325c1e5\",0,\"lean_workbook_plus_12095\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005448-n000004.json b/manifests/batches/oproofs/s00002-r00005448-n000004.json
index 7f8cbe90144a156d82e3af06931b7d72256b7433..dfe54c731a2de86e9ff4033d00d43c517217332d 100644
--- a/manifests/batches/oproofs/s00002-r00005448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005448-n000004",
   "batch_fingerprint": "cc6c4d17a0729dcc0b2dbb24fc00d4c7f18a22134de4c0e646709ebf2f9b5581",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005448-n000004-0000-02f0159af32d00c5.parquet",
-      "sha256": "02f0159af32d00c50ea0015461817d85e131b7bae4981aa6c95cd42e78d56322",
-      "bytes": 200608,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005449.lean\",\"8d5797abb2e682926322ecf7d91e18d4094ea4650fd7bbb45961f0fadbff59a8\",0,\"lean_workbook_plus_70141\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005450.lean\",\"a598e96c9b6283dff14978ef11f387f4d3e5618a62e606dbf7d218f4ec3cd5ac\",0,\"lean_workbook_plus_6508\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005451.lean\",\"17b8426e90cafca20b50fc807df980a58daea3a12a22010f3f29d69c4cd30566\",0,\"lean_workbook_plus_7592\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200608,
+      "path": "data/train/pa5/oproofs-s00002-r00005448-n000004-0000-02f0159af32d00c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "02f0159af32d00c50ea0015461817d85e131b7bae4981aa6c95cd42e78d56322"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005452-n000004.json b/manifests/batches/oproofs/s00002-r00005452-n000004.json
index eb2f109bc4f3b6d9c9dc8ba769f450c7a201766e..8d7ff60a715ef758a81032e5f8bdcd80e99751e3 100644
--- a/manifests/batches/oproofs/s00002-r00005452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005452-n000004",
   "batch_fingerprint": "24f2587d8c5fec33a3bd6538c072c4a89af36254cb1c49e0967d4d9ebf34e779",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005452-n000004-0000-c866538eb5b90bd0.parquet",
-      "sha256": "c866538eb5b90bd055c04bbe6122a189a36405af6b7ba2ab1ce4752c5002840e",
-      "bytes": 249198,
-      "rows": 16,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005453.lean\",\"f3689c2b67e887dd31bfcc410ac7617054f16e8e1d98d4ce04580c82d7aaf37c\",0,\"lean_workbook_plus_33900\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005454.lean\",\"c56513ecc9cc92144f3c725be6ae4bb6edc8414e01368b8fc9f0519b5d06d477\",0,\"lean_workbook_10799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005455.lean\",\"a34e49ace411a5878a1037dcbe640e7145e69fbe03c3d613b076ba6906b3e579\",0,\"lean_workbook_plus_54329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249198,
+      "path": "data/train/pf5/oproofs-s00002-r00005452-n000004-0000-c866538eb5b90bd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c866538eb5b90bd055c04bbe6122a189a36405af6b7ba2ab1ce4752c5002840e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005456-n000004.json b/manifests/batches/oproofs/s00002-r00005456-n000004.json
index d6baa1222f3ef9584923aa6afb236540004136b5..5c7bd316bcd172009e2493859b6db01419e77777 100644
--- a/manifests/batches/oproofs/s00002-r00005456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005456-n000004",
   "batch_fingerprint": "804ddaacfbcc521eefbcf813b17bae16a406a8a1c64ec15f949eb3a948f60721",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005456-n000004-0000-6c08fc5bdc48f8df.parquet",
-      "sha256": "6c08fc5bdc48f8dfdcdc6265374c34be69a7dc600862b97f2fd6b010ca531152",
-      "bytes": 277376,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005456-n000004-0000-991599c0a883eb6a.parquet",
-      "sha256": "991599c0a883eb6a3c19b39edba78e6d787d7d507011a5f5f7e951fa39e871e0",
-      "bytes": 367928,
-      "rows": 15,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005457.lean\",\"1cbe7f1fc33e0180411923951cc724b8e58927d1cea55fa0883bee22c124732b\",0,\"lean_workbook_54022\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005458.lean\",\"cec461b01478196c34216d7b17327f1e4f7c62d80656f749da8f471d4392e780\",0,\"lean_workbook_plus_11982\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005459.lean\",\"566afc15e3a117c84bda8aa3916c202223e05f768bd95413c28e52b160dd1f23\",0,\"lean_workbook_plus_12570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277376,
+      "path": "data/train/pa9/oproofs-s00002-r00005456-n000004-0000-6c08fc5bdc48f8df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6c08fc5bdc48f8dfdcdc6265374c34be69a7dc600862b97f2fd6b010ca531152"
+    },
+    {
+      "bytes": 367928,
+      "path": "data/dev/pa9/oproofs-s00002-r00005456-n000004-0000-991599c0a883eb6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "991599c0a883eb6a3c19b39edba78e6d787d7d507011a5f5f7e951fa39e871e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005460-n000004.json b/manifests/batches/oproofs/s00002-r00005460-n000004.json
index 294fa45ff6bbaca8477be0ebf50fe9ef49bad378..d82cb5682941f9a428808a01f03639c04470fbc0 100644
--- a/manifests/batches/oproofs/s00002-r00005460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005460-n000004",
   "batch_fingerprint": "9753c9c5679f4b0079498dd0cca66f558f53ebfff07abd11ecc1b1f97e779999",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005460-n000004-0000-f390cab4531ae644.parquet",
-      "sha256": "f390cab4531ae6446f331754877bfe88feb45f77ef337f72b5448ffa3bf45da9",
-      "bytes": 337126,
-      "rows": 13,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005461.lean\",\"8cfda4fba6c6d72895c6f689d67b77edd28100c4e020fe416b57a4f09f7b3e23\",0,\"lean_workbook_plus_65633\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005462.lean\",\"65044acd9c74c922b9fd3dcfb67230bf0698050b4fa272099ea38ded41de4d07\",0,\"lean_workbook_44431\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005463.lean\",\"a21e6cedaf30f66c057aaf6d213ebe9ee52af30f5677b6fb5a2ca6864331240f\",0,\"lean_workbook_plus_12155\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337126,
+      "path": "data/train/p7c/oproofs-s00002-r00005460-n000004-0000-f390cab4531ae644.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f390cab4531ae6446f331754877bfe88feb45f77ef337f72b5448ffa3bf45da9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005464-n000004.json b/manifests/batches/oproofs/s00002-r00005464-n000004.json
index a890c606e78c6d8e18ef57f8fdea787a3aeec3a6..9bf341c076374b36a92f60b268b916447b75fad1 100644
--- a/manifests/batches/oproofs/s00002-r00005464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005464-n000004",
   "batch_fingerprint": "22f2ebc24dc8a921a24968ff2c984bba30bb6058fb95ed5106c3429b6ead6aab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005464-n000004-0000-201c36ac1022dea5.parquet",
-      "sha256": "201c36ac1022dea5be4d18cfe5366716267262c35a7ed98256f3c9afe2fb52d4",
-      "bytes": 910620,
-      "rows": 19,
-      "revision": "3d983b7d1ca9a748be771ec5cee023bdb32b958b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005465.lean\",\"e915a45049afcfae63c38b90359e211178b9b1fe61e05e355e2aaa2a3d230f6d\",0,\"lean_workbook_21079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005466.lean\",\"f8e3314051a1e7b15eb77b250f1243dfcb656008c46f039d9c613ced4affe242\",0,\"lean_workbook_25639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005467.lean\",\"0fe1802c5bcef7253a395d74b7aaebc3e9219064f039f68c010c85b2c9197d7d\",0,\"lean_workbook_plus_75128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 910620,
+      "path": "data/train/p6e/oproofs-s00002-r00005464-n000004-0000-201c36ac1022dea5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "201c36ac1022dea5be4d18cfe5366716267262c35a7ed98256f3c9afe2fb52d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005468-n000004.json b/manifests/batches/oproofs/s00002-r00005468-n000004.json
index 6d8bc458e87865d7504085ef894c39b290677e04..136d7c0bc5523630d4bd35d11c58ad5954832c29 100644
--- a/manifests/batches/oproofs/s00002-r00005468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005468-n000004",
   "batch_fingerprint": "dcb2f3ce2a2abf5de935a36a96cb7e5d0ee748815772e32401a053f416f5acdc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005468-n000004-0000-8df41e7a8845225f.parquet",
-      "sha256": "8df41e7a8845225f6c1341661f178aaf3aec77d53e88deea39ccedeab1f8f6d5",
-      "bytes": 119213,
-      "rows": 8,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005468-n000004-0000-04bf5e41889aab51.parquet",
-      "sha256": "04bf5e41889aab5101938441b0fa155925b924a5dd732df54b4d0c609293199f",
-      "bytes": 156008,
-      "rows": 5,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005469.lean\",\"143f005979481a8484b5372045036171f2f19241696c15eabbf7b4dec08755db\",0,\"lean_workbook_27962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005470.lean\",\"146004cecc698f1407eae438dc9c007dad87510e2cd57704f84a67a9f9a540e7\",0,\"lean_workbook_plus_58894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005471.lean\",\"add7f1db30f19bec910c059aff09c8eb42ce6a039e64aeef96844094b8a96d8a\",0,\"lean_workbook_plus_36857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119213,
+      "path": "data/train/p4e/oproofs-s00002-r00005468-n000004-0000-8df41e7a8845225f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8df41e7a8845225f6c1341661f178aaf3aec77d53e88deea39ccedeab1f8f6d5"
+    },
+    {
+      "bytes": 156008,
+      "path": "data/internal_test/p4e/oproofs-s00002-r00005468-n000004-0000-04bf5e41889aab51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "04bf5e41889aab5101938441b0fa155925b924a5dd732df54b4d0c609293199f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005472-n000004.json b/manifests/batches/oproofs/s00002-r00005472-n000004.json
index 2a81be94c3f216c5ece83ab99adeeec2586a0a5d..a6860dbcd1289459940e8ad109834ddd54c01ac3 100644
--- a/manifests/batches/oproofs/s00002-r00005472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005472-n000004",
   "batch_fingerprint": "2be6a3fe720a8ad099b19d8daaf20903e5c8a712ff1fbec1d918494be59f7894",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005472-n000004-0000-dbcea85f465841be.parquet",
-      "sha256": "dbcea85f465841be29a36b4d85d6894cc7ae4b86332512596f50cf2c09c5fd75",
-      "bytes": 113487,
-      "rows": 16,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5473",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005473.lean\",\"e65227ce5c76bcfabea76be52fc08e4c928003438f857f78101c4ae2f3f215df\",0,\"lean_workbook_plus_71365\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005474.lean\",\"5c8a68db282a57ca57e5f9e7653588a581ec718b5656f355d78ec8a7cd53650c\",0,\"lean_workbook_plus_78804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005475.lean\",\"7de83249031acb8e0c3f55d921b9ea13e48f5dad3158b8e1098437fed4741caa\",0,\"lean_workbook_plus_56997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113487,
+      "path": "data/train/pc6/oproofs-s00002-r00005472-n000004-0000-dbcea85f465841be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "dbcea85f465841be29a36b4d85d6894cc7ae4b86332512596f50cf2c09c5fd75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005476-n000004.json b/manifests/batches/oproofs/s00002-r00005476-n000004.json
index d5ab07edab521ee6c0d955c439145c7a4be93ae3..31d1da2698be4e2a53c39ec9d713c55a942940b1 100644
--- a/manifests/batches/oproofs/s00002-r00005476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005476-n000004",
   "batch_fingerprint": "a3128f51cc1626b69b5dfae9c3e6f25a430c5a1532e4ac5e2a1f3ca73cfa4ab2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005476-n000004-0000-e286661215211035.parquet",
-      "sha256": "e286661215211035deaf2cbe21180a7ed77462953d542c4d56bc411ac487e622",
-      "bytes": 176410,
-      "rows": 17,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005477.lean\",\"76c03f6c70365bbe784f920ebc411307da220130351891527970cacb8848bf6b\",0,\"lean_workbook_plus_33712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005478.lean\",\"6571f899717402e347780b9ae4c9646011189104da4a469f620e42c8be7948f2\",0,\"lean_workbook_13400\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005479.lean\",\"839563c5790e1c9846f92b8cd20c5e753346c2bacfada9e99578b4280a51560c\",0,\"lean_workbook_plus_73099\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176410,
+      "path": "data/train/p7a/oproofs-s00002-r00005476-n000004-0000-e286661215211035.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e286661215211035deaf2cbe21180a7ed77462953d542c4d56bc411ac487e622"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005480-n000004.json b/manifests/batches/oproofs/s00002-r00005480-n000004.json
index 2efacc23dbc80aaf2fe0033b6bea2f3299287c48..f2798c784ef0bf40020f68ac60dffb63b3d41351 100644
--- a/manifests/batches/oproofs/s00002-r00005480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005480-n000004",
   "batch_fingerprint": "701e594306dd2af9df6ae51149fd2a018c79b9e169ff9dfec5998431975e9f25",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005480-n000004-0000-f10ad52d0e0a0277.parquet",
-      "sha256": "f10ad52d0e0a0277574d7adeb36d867b3570baca819ad8a526df54433d9889dc",
-      "bytes": 91812,
-      "rows": 9,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005480-n000004-0000-29b5a179bde16369.parquet",
-      "sha256": "29b5a179bde16369293678e492a8828b14e0e9f7979227778e6285261ee6b60d",
-      "bytes": 215006,
-      "rows": 3,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5481",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005481.lean\",\"160d77a9fe6390adcebfb5ea30d12243297b3c724661ddd1ae88abb54bbb201b\",0,\"lean_workbook_48377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005482.lean\",\"05759b8c1fba9e6b1e5d3a67453c91848f46455f14e899af2a283a4b31c46755\",0,\"lean_workbook_36756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005483.lean\",\"da012b6e32fc9dcdfd07ed2325570d0c82b79edbffff80b12e30f71b825d4dcb\",0,\"lean_workbook_plus_30530\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91812,
+      "path": "data/train/pc6/oproofs-s00002-r00005480-n000004-0000-f10ad52d0e0a0277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f10ad52d0e0a0277574d7adeb36d867b3570baca819ad8a526df54433d9889dc"
+    },
+    {
+      "bytes": 215006,
+      "path": "data/internal_test/pc6/oproofs-s00002-r00005480-n000004-0000-29b5a179bde16369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "29b5a179bde16369293678e492a8828b14e0e9f7979227778e6285261ee6b60d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005484-n000004.json b/manifests/batches/oproofs/s00002-r00005484-n000004.json
index 330111e912de7ad190d905fd08b85ca3a5d0c30b..fb00731a051171bc55f7d3d08501b7cc365e13fb 100644
--- a/manifests/batches/oproofs/s00002-r00005484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005484-n000004",
   "batch_fingerprint": "b61bdda3a5d90299b478b25f0cbe4d12a231064c1757fdf7b1024aceb7954bb9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005484-n000004-0000-c68eecc11784a613.parquet",
-      "sha256": "c68eecc11784a613bd9fccd8b19c09e98b391d8f10baad2d4e323c952417659d",
-      "bytes": 285052,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005485.lean\",\"3b4df418a31f639451b8a3ab79a61db18643017b09bef8489f48c9001db1d64f\",0,\"lean_workbook_plus_11458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005486.lean\",\"add08677d8f69b814c136fb5437fa2ab41ecf4f228849766f072f17d30c5c1cb\",0,\"lean_workbook_22964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005487.lean\",\"94eec520d1ccbcdec56490399b833fff850c100cfac94205363c778af3fbef2d\",0,\"lean_workbook_plus_30624\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285052,
+      "path": "data/train/p92/oproofs-s00002-r00005484-n000004-0000-c68eecc11784a613.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c68eecc11784a613bd9fccd8b19c09e98b391d8f10baad2d4e323c952417659d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005488-n000004.json b/manifests/batches/oproofs/s00002-r00005488-n000004.json
index c6f89d6a7276c82ed9e90efd45ff07a88e21d87c..41bb16765cde20d3d0d2846e1d04926659e7947b 100644
--- a/manifests/batches/oproofs/s00002-r00005488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005488-n000004",
   "batch_fingerprint": "c6ad37f3ecd84970d5664d37f9b1269374f6d5732072f91679307d0a78003105",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005488-n000004-0000-99116c1a63d48565.parquet",
-      "sha256": "99116c1a63d4856514e4982417ce078c3f6bc8e3703bcf6ae42967efcda2b5d5",
-      "bytes": 147044,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005488-n000004-0000-4f54e2fc99f48820.parquet",
-      "sha256": "4f54e2fc99f488201c9238f56adebac5706f76c8f8df8a2019a3189c648aa5f9",
-      "bytes": 46208,
-      "rows": 2,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005489.lean\",\"691389e6628b803dbe492f43f61c618ebe6ca47127fa1094ceed8dac962dddc6\",0,\"lean_workbook_plus_36950\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005490.lean\",\"8164a879c80aa43cfe6ce66751bf781658e55519ec075762a7ce565fe58d23e4\",0,\"lean_workbook_plus_15136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005491.lean\",\"5b50614451b24dff50f434de4e578a5d0d2c9b0adc2973c6e0a0f5eb3bd74ac9\",0,\"mod_negative_three_hundred\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147044,
+      "path": "data/train/pd6/oproofs-s00002-r00005488-n000004-0000-99116c1a63d48565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "99116c1a63d4856514e4982417ce078c3f6bc8e3703bcf6ae42967efcda2b5d5"
+    },
+    {
+      "bytes": 46208,
+      "path": "data/internal_test/pd6/oproofs-s00002-r00005488-n000004-0000-4f54e2fc99f48820.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f54e2fc99f488201c9238f56adebac5706f76c8f8df8a2019a3189c648aa5f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005492-n000004.json b/manifests/batches/oproofs/s00002-r00005492-n000004.json
index 9638744e093495f006f482a42ea1b64aac1b9aaf..a1245174b6b77b029df7cc87c1f0cc0c6a1486ab 100644
--- a/manifests/batches/oproofs/s00002-r00005492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005492-n000004",
   "batch_fingerprint": "1121c6cce84e67937f6d42912eef87c105c9986082fb9da7e22c199be89ae198",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005492-n000004-0000-6fa0e4fb48e707c7.parquet",
-      "sha256": "6fa0e4fb48e707c7b056544d660f12e41638b05101f5829e90aa0fb3a9ae1d0c",
-      "bytes": 110894,
-      "rows": 14,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005493.lean\",\"08b5e5750588f0a9dfcb963879e6a71ae945789324089de70bb8e44cf83f09bf\",0,\"lean_workbook_30099\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005494.lean\",\"30480d57f39a1d49e6a8bab17cebba78e491eef07fc9cef6ea86b63edbc68316\",0,\"lean_workbook_12121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005495.lean\",\"9d2cb5dc8e2d70e3c6cd1317c13cf347c427ac76de4d431182154a894e1eb9da\",0,\"lean_workbook_26701\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110894,
+      "path": "data/train/pd8/oproofs-s00002-r00005492-n000004-0000-6fa0e4fb48e707c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6fa0e4fb48e707c7b056544d660f12e41638b05101f5829e90aa0fb3a9ae1d0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005496-n000004.json b/manifests/batches/oproofs/s00002-r00005496-n000004.json
index 5350533ba32be8f64a82b786d398e85559abcec4..8bd13bd5165773c7464c041c21a63132ff734a38 100644
--- a/manifests/batches/oproofs/s00002-r00005496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005496-n000004",
   "batch_fingerprint": "e71135c4687fae1802b0a564ab6392444d42f715d463ab647961bcd7046f81b7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005496-n000004-0000-1bf97303f709414b.parquet",
-      "sha256": "1bf97303f709414b10b5ab135ca3f4870af49e2d7b8f61cd5b51d5df9507ffef",
-      "bytes": 586049,
-      "rows": 18,
-      "revision": "3d983b7d1ca9a748be771ec5cee023bdb32b958b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005497.lean\",\"fadd1eeaae09fe2040571aba67d2c8bff3fc866d877b1f07c3dbb8378c0c3678\",0,\"work_completion_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005498.lean\",\"1cc77198d64baf7874e78be0558ad2af809252442c43e449ee3f09e7a17523e2\",0,\"lean_workbook_plus_55642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005499.lean\",\"b58d861eacc1c3c55aee657610963116f193d47fe4c3d51b458d8dc1bc61c7e0\",0,\"lean_workbook_plus_28470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586049,
+      "path": "data/train/pf4/oproofs-s00002-r00005496-n000004-0000-1bf97303f709414b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1bf97303f709414b10b5ab135ca3f4870af49e2d7b8f61cd5b51d5df9507ffef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005500-n000004.json b/manifests/batches/oproofs/s00002-r00005500-n000004.json
index 53dc1269d93adf67e3be47b740d3c56c93863af9..1b700e41b739302329c0068317bcb2f6d1f3c58b 100644
--- a/manifests/batches/oproofs/s00002-r00005500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005500-n000004",
   "batch_fingerprint": "f4e07036040d92c761636454b2f9e245bf381cfebb2f90cfe36cf0c79d0e5add",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005500-n000004-0000-60480495802fb43c.parquet",
-      "sha256": "60480495802fb43caa887757a9430c9883750f8a47f694ed93baf80f068ab3b5",
-      "bytes": 331519,
-      "rows": 13,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005500-n000004-0000-0ada493ba99463b4.parquet",
-      "sha256": "0ada493ba99463b43e03ccdf17df2d9f03039e6f9d506ed3799c7facdfbe3388",
-      "bytes": 74901,
-      "rows": 4,
-      "revision": "2deb295a98b455c1da6e9d089de0cb5dc2d16e0e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5501",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005501.lean\",\"1a9f9b12801bf134955d76dc2e7ee08dba989b9d2618d86dee91fe8d12602456\",0,\"lean_workbook_18236\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005502.lean\",\"428ec9fe778d361da40e02017111604b7cf7bc05205ef473e3b6533c8b105319\",0,\"lean_workbook_plus_21464\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005503.lean\",\"dc07bc599fbf69bd2303f9b25a99f9c377e85d38b9c1796e327e52fcc826d05d\",0,\"lean_workbook_plus_68302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331519,
+      "path": "data/train/p4a/oproofs-s00002-r00005500-n000004-0000-60480495802fb43c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "60480495802fb43caa887757a9430c9883750f8a47f694ed93baf80f068ab3b5"
+    },
+    {
+      "bytes": 74901,
+      "path": "data/internal_test/p4a/oproofs-s00002-r00005500-n000004-0000-0ada493ba99463b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0ada493ba99463b43e03ccdf17df2d9f03039e6f9d506ed3799c7facdfbe3388"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005504-n000004.json b/manifests/batches/oproofs/s00002-r00005504-n000004.json
index 6f6ae74137e693688c6785d5e080f4365b03782f..dc5c77721949977754fa6ff50862ba974c1cad7a 100644
--- a/manifests/batches/oproofs/s00002-r00005504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005504-n000004",
   "batch_fingerprint": "ae2d26a8a5ef2044b1745c54a5d33845644b6412ae5d4a096c677d541985fb23",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005504-n000004-0000-63ae3d9970ad93a4.parquet",
-      "sha256": "63ae3d9970ad93a4c755c266072c25e8198c48321165c5d71093c6415980a41c",
-      "bytes": 346059,
-      "rows": 33,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005505.lean\",\"59ba61ed2239b46c7fa3104a7a9f0e95e29bc884475fdb91642cce913f8f0caa\",0,\"lean_workbook_37407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005506.lean\",\"009c61b534787f6a416d1350bb4528c2d44ca9fcfb4b35d1d59662381401007f\",0,\"lean_workbook_26485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005507.lean\",\"c344793cf8903773beba39c36c672873659466f3e272e70ece0242c3be1a5a49\",0,\"lean_workbook_plus_47221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346059,
+      "path": "data/train/p05/oproofs-s00002-r00005504-n000004-0000-63ae3d9970ad93a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "63ae3d9970ad93a4c755c266072c25e8198c48321165c5d71093c6415980a41c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005508-n000004.json b/manifests/batches/oproofs/s00002-r00005508-n000004.json
index a6f7bec7befb5e70d74e32bfcccf2a5fbe682ce5..4309c9945a3d40fa03ca0559e8346b20ffd11c9f 100644
--- a/manifests/batches/oproofs/s00002-r00005508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005508-n000004",
   "batch_fingerprint": "6ad353d827542e40c4aa5899dc48e3e93f00e77e05b5f1e316af657efe8a9901",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005508-n000004-0000-9d9d8252690e0184.parquet",
-      "sha256": "9d9d8252690e0184905ab6147e9a9b9ffa8b4f51ead9179f0291c51427745af3",
-      "bytes": 126526,
-      "rows": 8,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005508-n000004-0000-f48686866f53ae0a.parquet",
-      "sha256": "f48686866f53ae0ab261033341ef880934f94e0e043d9d298b6896dec5957b42",
-      "bytes": 96402,
-      "rows": 5,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005509.lean\",\"fb5e192b1519de28185c7f76191e841a7937d6e0edc5a2b7843d079352180a54\",0,\"lean_workbook_plus_51699\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005510.lean\",\"70516b315dafdd01bd3033cf72ef8d7d893784ef4528fdc2ce28fa9079db7069\",0,\"lean_workbook_plus_62615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005511.lean\",\"372b8fb6869b1ab8cf096fa253f43eacaf70d08dc8f50943c42a9cd9d1d482d8\",0,\"lean_workbook_52044\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126526,
+      "path": "data/train/p26/oproofs-s00002-r00005508-n000004-0000-9d9d8252690e0184.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9d9d8252690e0184905ab6147e9a9b9ffa8b4f51ead9179f0291c51427745af3"
+    },
+    {
+      "bytes": 96402,
+      "path": "data/dev/p26/oproofs-s00002-r00005508-n000004-0000-f48686866f53ae0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f48686866f53ae0ab261033341ef880934f94e0e043d9d298b6896dec5957b42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005512-n000004.json b/manifests/batches/oproofs/s00002-r00005512-n000004.json
index 53c4af6d67c8f00fed04af61dc26f49b43cd5eb6..4ff554c76a81fe141aed0e070700ea2f10c85c3c 100644
--- a/manifests/batches/oproofs/s00002-r00005512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005512-n000004",
   "batch_fingerprint": "420ae00bb5d6ad390ffeb027301d01846452246c6d49f3bd416c715c2461879f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005512-n000004-0000-fac94f118832ab11.parquet",
-      "sha256": "fac94f118832ab11d888d2b1a726faa2dfdf1948edc2dfb0d3e3b54d07a5b871",
-      "bytes": 72177,
-      "rows": 6,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005512-n000004-0000-412cc495108141a9.parquet",
-      "sha256": "412cc495108141a993ddfed0a0ceec37bb13ee7fedb1203ef1a1e0f1852ae930",
-      "bytes": 560841,
-      "rows": 22,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005513.lean\",\"dec2295e55be49eff50c49321e63e1b9761c021d566293c977f07b9331cfbcfc\",0,\"lean_workbook_plus_50170\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005514.lean\",\"62a91cadf684b1f2f7d4a144dbda6929accd174d047927208cf1218664b41a48\",0,\"lean_workbook_14915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005515.lean\",\"a22f3c5f6838c3b3e64ff0c8abec0fcacd3a5534ce6338a5b7197cc6f1a9ea1b\",0,\"lean_workbook_plus_49847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72177,
+      "path": "data/train/p5e/oproofs-s00002-r00005512-n000004-0000-fac94f118832ab11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fac94f118832ab11d888d2b1a726faa2dfdf1948edc2dfb0d3e3b54d07a5b871"
+    },
+    {
+      "bytes": 560841,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00005512-n000004-0000-412cc495108141a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "412cc495108141a993ddfed0a0ceec37bb13ee7fedb1203ef1a1e0f1852ae930"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005516-n000004.json b/manifests/batches/oproofs/s00002-r00005516-n000004.json
index 8a84e6fa3c65fd111d6e654fb71e5ada8f81129e..120cfa2946aabc5f0f284c3b50f816bb71449d12 100644
--- a/manifests/batches/oproofs/s00002-r00005516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005516-n000004",
   "batch_fingerprint": "dacd7f80dd9f1e6783dc8e1d1da05d0a2d5ff71f34581608d5a877ce86901828",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005516-n000004-0000-b175acb130c8c5e9.parquet",
-      "sha256": "b175acb130c8c5e92fd4f38a223f4c69adfc8c8d5840dfaeecf15d165e9f1f8c",
-      "bytes": 138640,
-      "rows": 17,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005517.lean\",\"0026d3e51d81fb52a01a17112cfcd584c9f36058a6ec5663f37dfe8af082f390\",0,\"lean_workbook_plus_33358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005518.lean\",\"27667dfa11356a71262793d42da12b980e1a08aad16b7a4b195f9d711da4c064\",0,\"lean_workbook_plus_61150\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005519.lean\",\"722e942d3553501dc47cda12987228f6493d2cba3bd965ddf4a7a6d146929855\",0,\"lean_workbook_34888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138640,
+      "path": "data/train/pf7/oproofs-s00002-r00005516-n000004-0000-b175acb130c8c5e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b175acb130c8c5e92fd4f38a223f4c69adfc8c8d5840dfaeecf15d165e9f1f8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005520-n000004.json b/manifests/batches/oproofs/s00002-r00005520-n000004.json
index d7457c638bfd6f1a273a7287bbd39eac3cebe6ab..8bc81a614c101dd82bad8a0b34a10f28598f4223 100644
--- a/manifests/batches/oproofs/s00002-r00005520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005520-n000004",
   "batch_fingerprint": "c8c64d76746bef286dbd7a59da697a67dc9c3662ed23b17a254fa7eda0fb160e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005520-n000004-0000-92f6b8e416036645.parquet",
-      "sha256": "92f6b8e4160366454d46ddb895f60c5a67311c0dbbbcb6280e4e954b0ed3f929",
-      "bytes": 237417,
-      "rows": 17,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005520-n000004-0000-8845ec55d6fe18ef.parquet",
-      "sha256": "8845ec55d6fe18ef493b091c24218011574df94fc1ff0f0d5512bd32f3b16d7c",
-      "bytes": 40627,
-      "rows": 4,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005521.lean\",\"ca44985bcfe8bab60804daa5adc87e4502fd46c5b45d5cc8814d33be405515db\",0,\"lean_workbook_plus_14803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005522.lean\",\"0edf86486d3ca0b6f77a6f31814f98b2f61aed1b3a1f602dde3a6d35c84bce99\",0,\"lean_workbook_41469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005523.lean\",\"b60f6558cd416f30599d752bcf394edc8d45712d8c7a67b30db7c682c66417c3\",0,\"lean_workbook_plus_12095\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237417,
+      "path": "data/train/pf2/oproofs-s00002-r00005520-n000004-0000-92f6b8e416036645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "92f6b8e4160366454d46ddb895f60c5a67311c0dbbbcb6280e4e954b0ed3f929"
+    },
+    {
+      "bytes": 40627,
+      "path": "data/internal_test/pf2/oproofs-s00002-r00005520-n000004-0000-8845ec55d6fe18ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8845ec55d6fe18ef493b091c24218011574df94fc1ff0f0d5512bd32f3b16d7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005524-n000004.json b/manifests/batches/oproofs/s00002-r00005524-n000004.json
index 609a08880342074fb82157aa9852baf407583199..f33197366bd0ab7546fc4f20f89e710102c62729 100644
--- a/manifests/batches/oproofs/s00002-r00005524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005524-n000004",
   "batch_fingerprint": "a1099a3e854a49fdd00363e84d70da07687e429ce6e121b45c87ff796a6112e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005524-n000004-0000-cd7696f7e10deff8.parquet",
-      "sha256": "cd7696f7e10deff85ca02a0f3aa596328583159e93094b09567ce3307b94915c",
-      "bytes": 263040,
-      "rows": 14,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005525.lean\",\"ae4f3f2d1841cf2d0d0e77b50735dc26cdbe796fefc0ec92978496b45e07f911\",0,\"lean_workbook_plus_22925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005526.lean\",\"de6103b720af0f80397b635814d41b99c08a32d4628e6f016876868cc8e1b20d\",0,\"lean_workbook_plus_17740\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005527.lean\",\"155beab28da53fabcda966cd19629e97f5d3b71f719fa82618286601e4450369\",0,\"lean_workbook_plus_70141\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263040,
+      "path": "data/train/pec/oproofs-s00002-r00005524-n000004-0000-cd7696f7e10deff8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cd7696f7e10deff85ca02a0f3aa596328583159e93094b09567ce3307b94915c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005528-n000004.json b/manifests/batches/oproofs/s00002-r00005528-n000004.json
index 145b8cb01f27043be332755a79ea6468709ec78b..4f45e84ce91b8eb7c9bf8e92a2b2279fec32ac1b 100644
--- a/manifests/batches/oproofs/s00002-r00005528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005528-n000004",
   "batch_fingerprint": "f5d1f5dbb1e4745d29e71f9c6b0943c8b1d41a6afc611e947c373cf087e8ff55",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5528",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5529",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5530",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5531"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005528.lean\",\"e6f1b20a57be093386a460a9f0a14bfc9b4e07a3215164ba28b12efdef22c9fe\",0,\"lean_workbook_42356\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005529.lean\",\"2815c0b3c823b7ded9450c0aff55b61236c93d6f9e4886e2934f525af67c6d57\",0,\"lean_workbook_plus_54188\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005530.lean\",\"5a1c63c23e135ffd715af184702d0c74f04076f80b3e9d3ce5bc530c680d7402\",0,\"lean_workbook_plus_17800\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005531.lean\",\"5e5eaa5cce4c25742d2ca529c8c7ecec09e313d820dd6bec9566a44f85a45af1\",0,\"lean_workbook_plus_7592\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005528-n000004-0000-3d11f0afff2512ee.parquet",
-      "sha256": "3d11f0afff2512ee34e60122d5fb6737b1eca9ed9ec99a435f777494ad18c9a1",
       "bytes": 316947,
+      "path": "data/train/p7d/oproofs-s00002-r00005528-n000004-0000-3d11f0afff2512ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "3d11f0afff2512ee34e60122d5fb6737b1eca9ed9ec99a435f777494ad18c9a1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005528-n000004-0000-84de324dc6954d7d.parquet",
-      "sha256": "84de324dc6954d7dfbc9cf1417be4fb9b76e2b979c9aa27214a2593bea410125",
       "bytes": 63713,
+      "path": "data/dev/p7d/oproofs-s00002-r00005528-n000004-0000-84de324dc6954d7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "84de324dc6954d7dfbc9cf1417be4fb9b76e2b979c9aa27214a2593bea410125"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005528-n000004-0000-a2cd5c9ee0973884.parquet",
-      "sha256": "a2cd5c9ee09738846cef7d469165ba43c2634dd01c618f89e46b7c1bc070c0b0",
       "bytes": 621408,
+      "path": "data/internal_test/p7d/oproofs-s00002-r00005528-n000004-0000-a2cd5c9ee0973884.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "a2cd5c9ee09738846cef7d469165ba43c2634dd01c618f89e46b7c1bc070c0b0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5528",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5529",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5530",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5531"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005528.lean\",\"e6f1b20a57be093386a460a9f0a14bfc9b4e07a3215164ba28b12efdef22c9fe\",0,\"lean_workbook_42356\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005529.lean\",\"2815c0b3c823b7ded9450c0aff55b61236c93d6f9e4886e2934f525af67c6d57\",0,\"lean_workbook_plus_54188\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005530.lean\",\"5a1c63c23e135ffd715af184702d0c74f04076f80b3e9d3ce5bc530c680d7402\",0,\"lean_workbook_plus_17800\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005531.lean\",\"5e5eaa5cce4c25742d2ca529c8c7ecec09e313d820dd6bec9566a44f85a45af1\",0,\"lean_workbook_plus_7592\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005532-n000004.json b/manifests/batches/oproofs/s00002-r00005532-n000004.json
index df52609177fc8629400c3b8a96ecbfe687d64b43..a34e9e0f10dad0b43924546f393b098a6b90bc8d 100644
--- a/manifests/batches/oproofs/s00002-r00005532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005532-n000004",
   "batch_fingerprint": "eeb0bd656a00399f3fbdaa2320cab12760185ef48054c524b5ecfb5115a0b34d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005532-n000004-0000-5ede87059025afbf.parquet",
-      "sha256": "5ede87059025afbf4bbb07dbaa40094b211e3eb3253dac5115a221f6a2c7a6af",
-      "bytes": 293164,
-      "rows": 18,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005533.lean\",\"bfb7157077a8fcd29c6693606241bbab359652698fc4cda8e3292c8f706792a0\",0,\"lean_workbook_plus_6508\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005534.lean\",\"1223052dfccc884a1d49756ae3e2cd531971dfa11eca539aeea0dd9f9f4d311d\",0,\"lean_workbook_plus_54329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005535.lean\",\"26b227447e63f22f0c41c0d222f881764831e6b51edffd4da8014f3d0562c70b\",0,\"lean_workbook_10799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293164,
+      "path": "data/train/pc7/oproofs-s00002-r00005532-n000004-0000-5ede87059025afbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5ede87059025afbf4bbb07dbaa40094b211e3eb3253dac5115a221f6a2c7a6af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005536-n000004.json b/manifests/batches/oproofs/s00002-r00005536-n000004.json
index 2deb0d5de1dbfd0cff14ce43bb3e10ebee1fafc1..3952af9787fa938b1fc523b87c7dc8046cc1001f 100644
--- a/manifests/batches/oproofs/s00002-r00005536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005536-n000004",
   "batch_fingerprint": "8886f3211de53f3110805d14af863983dc430cd6b263dc546500251921be90e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005536-n000004-0000-1e6fe63a7a5bdd09.parquet",
-      "sha256": "1e6fe63a7a5bdd0945738b2bf44bf28b5cef192cab73c31e3c5a00e653462d56",
-      "bytes": 142295,
-      "rows": 15,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5537",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005537.lean\",\"64d83ef5aae9b198465199cdcadd7c9181e9fbb4b7e0cc36c72347ee8b652ad4\",0,\"lean_workbook_plus_12570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005538.lean\",\"4b7af0f6d6bb1388a390dd1f06024c0ebf152b5a65f13afd0fb7f5a03523b32c\",0,\"lean_workbook_plus_48304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005539.lean\",\"badec61eced83f60670979b47709e8e9fe15b686e0b3f77fd83293878f18e507\",0,\"lean_workbook_plus_10815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142295,
+      "path": "data/train/p7f/oproofs-s00002-r00005536-n000004-0000-1e6fe63a7a5bdd09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1e6fe63a7a5bdd0945738b2bf44bf28b5cef192cab73c31e3c5a00e653462d56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005540-n000004.json b/manifests/batches/oproofs/s00002-r00005540-n000004.json
index 99852704b5641516d9e7101b22ce48d4eac44cf5..5ea3f0c9fb243d796b579415446d4776994914d8 100644
--- a/manifests/batches/oproofs/s00002-r00005540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005540-n000004",
   "batch_fingerprint": "7e19c2be8cececa0bb950e7b62e7a9333c3460a973a6a31a06b7811defa7dc81",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005540-n000004-0000-54e6658dcd33cf37.parquet",
-      "sha256": "54e6658dcd33cf37ef9f884f6c7ac2858f4774e5b92ac0c07480d8bec4bde059",
-      "bytes": 288003,
-      "rows": 10,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005540-n000004-0000-c32cf450955e32a9.parquet",
-      "sha256": "c32cf450955e32a9dd6702bc75d071e092f982949e8370bd0ca906f6062db578",
-      "bytes": 193330,
-      "rows": 6,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005541.lean\",\"2bfe4b6d5b6b148dd811ee6250246629a2e86b8c08037f6754224858f73d455d\",0,\"lean_workbook_plus_40677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005542.lean\",\"05e835c86439714fad94f681118404e460d315a63bd6c162f8152583d1aa31ed\",0,\"lean_workbook_plus_28740\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005543.lean\",\"4686febc7d19873466d5f797332ea3e6d70f60acf547d4af042667f31723c06d\",0,\"lean_workbook_44431\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288003,
+      "path": "data/train/p8d/oproofs-s00002-r00005540-n000004-0000-54e6658dcd33cf37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "54e6658dcd33cf37ef9f884f6c7ac2858f4774e5b92ac0c07480d8bec4bde059"
+    },
+    {
+      "bytes": 193330,
+      "path": "data/dev/p8d/oproofs-s00002-r00005540-n000004-0000-c32cf450955e32a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c32cf450955e32a9dd6702bc75d071e092f982949e8370bd0ca906f6062db578"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005544-n000004.json b/manifests/batches/oproofs/s00002-r00005544-n000004.json
index 3a1b24c60ed389b7e00608c725f784b9a8e8a638..afe8a454b188101c06ad88dee3c95f4e13d4296f 100644
--- a/manifests/batches/oproofs/s00002-r00005544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005544-n000004",
   "batch_fingerprint": "9f9c846946592bffc4311da01d05834d7f91fd8dd92b86e3635441043cb0d003",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005544-n000004-0000-1d611c8977ad877d.parquet",
-      "sha256": "1d611c8977ad877d84e67c5366cb79633807860a70c0009e495d16f4460f0121",
-      "bytes": 708926,
-      "rows": 21,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005545.lean\",\"a02288c0f8b26a5f0b7884aa0a65d13f1e031e69fa6950a81b41e0eeb6da9ec0\",0,\"lean_workbook_plus_20555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005546.lean\",\"164a9b4b854f236275967e1e7800d5db1150b13caa8148c7f24388f6467dae95\",0,\"lean_workbook_25639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005547.lean\",\"47e9454e8fa63180debd60e590bb608716a542bbaaabedfda7f877a99fb88169\",0,\"set_equality_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 708926,
+      "path": "data/train/pe7/oproofs-s00002-r00005544-n000004-0000-1d611c8977ad877d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1d611c8977ad877d84e67c5366cb79633807860a70c0009e495d16f4460f0121"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005548-n000004.json b/manifests/batches/oproofs/s00002-r00005548-n000004.json
index be4c45ff699fa920244c3ab06b50210b9d618d6a..7c4a9f45e30de97e587a7d241ee7a7b5604fb9e2 100644
--- a/manifests/batches/oproofs/s00002-r00005548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005548-n000004",
   "batch_fingerprint": "fa19c5753ca98fb79f9decc2a72c4236bb47023ce9f3abbf53af24480178184e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005548-n000004-0000-59f4e7e994a902a4.parquet",
-      "sha256": "59f4e7e994a902a41cb71c0de401f6c9d6c25a461951c0e04f91c5d5297e2066",
-      "bytes": 150488,
-      "rows": 13,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005549.lean\",\"51108f636019faf4213740faf3eee03a0740b7bb782e0415e7ae9562d95c5b0c\",0,\"lean_workbook_plus_75279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005550.lean\",\"ee085fd7d475a03d51097a2673e71c3c011c05d3f206b2b5b4a2d897e8709a7d\",0,\"lean_workbook_plus_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005551.lean\",\"dbf575a7da09ad16af9c8a21bfef4d6f1199818fb1c8a4c8da57646d938a6545\",1,\"odd_cube_negation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150488,
+      "path": "data/train/p1f/oproofs-s00002-r00005548-n000004-0000-59f4e7e994a902a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "59f4e7e994a902a41cb71c0de401f6c9d6c25a461951c0e04f91c5d5297e2066"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005552-n000004.json b/manifests/batches/oproofs/s00002-r00005552-n000004.json
index a9c0ce9e1b773affd6a7a9691bd842c691815ead..f5d6d675fe88bffe55119e31e748136a28753054 100644
--- a/manifests/batches/oproofs/s00002-r00005552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005552-n000004",
   "batch_fingerprint": "10563ff637ff2a5fef83598659aaf0658db6ed6692f8b3eda90fe41be9d4bc2e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005552-n000004-0000-7fd0d485d4fe3e52.parquet",
-      "sha256": "7fd0d485d4fe3e528fbc10ab81f8a6cbecd0242767ae9475fdf2c926b5009087",
-      "bytes": 129670,
-      "rows": 5,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005552-n000004-0000-6caf6eae12b1bc0f.parquet",
-      "sha256": "6caf6eae12b1bc0f9d5ad34457b73b1a1f3c23c56d590690348efb45af35c560",
-      "bytes": 72038,
-      "rows": 8,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005553.lean\",\"00dc68c7640222e08115b1467d205dd806a04697a789807ddfc478c92b8f926f\",0,\"lean_workbook_plus_59825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005554.lean\",\"ab7a23fbcd314a361955abdf149847ad92d7ffd802d5afca7547964e3d354557\",0,\"lean_workbook_plus_64887\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005555.lean\",\"9836b27fb295f9d264eda25f96c1d304e4c29910b633a5c7da1db65302b9d086\",0,\"lean_workbook_plus_21611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129670,
+      "path": "data/train/paf/oproofs-s00002-r00005552-n000004-0000-7fd0d485d4fe3e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7fd0d485d4fe3e528fbc10ab81f8a6cbecd0242767ae9475fdf2c926b5009087"
+    },
+    {
+      "bytes": 72038,
+      "path": "data/internal_test/paf/oproofs-s00002-r00005552-n000004-0000-6caf6eae12b1bc0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6caf6eae12b1bc0f9d5ad34457b73b1a1f3c23c56d590690348efb45af35c560"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005556-n000004.json b/manifests/batches/oproofs/s00002-r00005556-n000004.json
index c83007592757c884bf1c1dc2cb2841ba5a756dee..50ea9e07a0573edd984bbbd6f882cdbf3c7e2356 100644
--- a/manifests/batches/oproofs/s00002-r00005556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005556-n000004",
   "batch_fingerprint": "002d526cad7540b047b7d84251fd9d25cb483d583a83879022fbda11f5ab1260",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005556-n000004-0000-18df4fed31ab3159.parquet",
-      "sha256": "18df4fed31ab3159367ea86f6ad8feda0945ae72fdcc05724609aab3e9ea4204",
-      "bytes": 241713,
-      "rows": 14,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005556-n000004-0000-06d3d67c5b139fc2.parquet",
-      "sha256": "06d3d67c5b139fc26926cd0df7120a086f22f6f571c5a6bff5088d5a22a60bfd",
-      "bytes": 76980,
-      "rows": 5,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005557.lean\",\"be6ea8d56f0c59e5279906ac67b42d956dacea6e66d85231bc9bb07729b7f063\",0,\"lean_workbook_15972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005558.lean\",\"3d0d8f6264d4c5bfbeb2b3316ad548ce6a0bdc54111c3d083d5c5062683577a2\",0,\"lean_workbook_plus_17744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005559.lean\",\"1c680fda47a9381deb0c5d0ad079c86d5b8418188c73012374e7837ec9c86dc2\",0,\"lean_workbook_plus_47435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241713,
+      "path": "data/train/pd1/oproofs-s00002-r00005556-n000004-0000-18df4fed31ab3159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "18df4fed31ab3159367ea86f6ad8feda0945ae72fdcc05724609aab3e9ea4204"
+    },
+    {
+      "bytes": 76980,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00005556-n000004-0000-06d3d67c5b139fc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "06d3d67c5b139fc26926cd0df7120a086f22f6f571c5a6bff5088d5a22a60bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005560-n000004.json b/manifests/batches/oproofs/s00002-r00005560-n000004.json
index a2939a19d613baacee5ed98b3c2e6f5aad003061..fc5fa20204708c0b14e61c2c775e839b19d91f6b 100644
--- a/manifests/batches/oproofs/s00002-r00005560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005560-n000004",
   "batch_fingerprint": "999553481d60cdba366876f3ad855fcc5d69422b9d2dd2a1914da607a95dfd37",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005560-n000004-0000-8187aa35123b4a81.parquet",
-      "sha256": "8187aa35123b4a81d4c518e6272458fe98667f7708c7a722f7a6d6819a58f651",
-      "bytes": 187760,
-      "rows": 17,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5561",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005561.lean\",\"2cdb7e1e88f677aca1f19b937b15bf1d838e9f489592b6c1fe0d9b71eb8770bc\",0,\"lean_workbook_plus_35849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005562.lean\",\"9436b95ba65e6d98ff1f4aafafe5ef44355e3208f32a6d8c90b93b6a8d95144e\",0,\"lean_workbook_plus_3417\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005563.lean\",\"50082cee6523366a8bd93aa9e285f4a863d907978d700e0ab7d814509ee11e7a\",0,\"max_constant_inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187760,
+      "path": "data/train/p70/oproofs-s00002-r00005560-n000004-0000-8187aa35123b4a81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8187aa35123b4a81d4c518e6272458fe98667f7708c7a722f7a6d6819a58f651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005564-n000004.json b/manifests/batches/oproofs/s00002-r00005564-n000004.json
index 0801b83b883a1ce474586645197c2e41ff512637..57ac06c38a2726baf1999b6dc5bbd00828909da5 100644
--- a/manifests/batches/oproofs/s00002-r00005564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005564-n000004",
   "batch_fingerprint": "25ad2c4d6192e9e8e831732a0565fff66027fa7b89fda657237b4a17ebaf6a12",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005564-n000004-0000-dcf1c39e830707b7.parquet",
-      "sha256": "dcf1c39e830707b71b2b35a24d632f0e85766786893c65a828c012cf6a4751af",
-      "bytes": 149753,
-      "rows": 13,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5565",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005565.lean\",\"8e85100bd623575ea131e0ebfa8ddf87da8acc3cadbe235a853350f3c4b905ee\",0,\"even_function_implies_a_eq_neg_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005566.lean\",\"381d27c39126c0b170ab16649c8081a215cf82885a7d169ea29394dfd6ccc80c\",0,\"lean_workbook_plus_50556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005567.lean\",\"46d7f1b72c720ecae45b6455bff3ae6257334de6e9153e6357d74256fdb0f882\",0,\"lean_workbook_plus_82822\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149753,
+      "path": "data/train/p70/oproofs-s00002-r00005564-n000004-0000-dcf1c39e830707b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dcf1c39e830707b71b2b35a24d632f0e85766786893c65a828c012cf6a4751af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005568-n000004.json b/manifests/batches/oproofs/s00002-r00005568-n000004.json
index 00e8862d4db950f8e8bf5ce65833bbaa7270b70a..8393c4d69909c04a1fac433587deb2c66f945bc8 100644
--- a/manifests/batches/oproofs/s00002-r00005568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005568-n000004",
   "batch_fingerprint": "3957c8ff91ae3baf53dfd8825d45efec3f88c2304579e022fbe5e330b1b0a013",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005568-n000004-0000-0e9d9e7438366506.parquet",
-      "sha256": "0e9d9e7438366506b4279be1c63176ad8c4119d877f036007a0dbce0d4bec8bc",
-      "bytes": 93709,
-      "rows": 12,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005568-n000004-0000-fdd579519b98f9c1.parquet",
-      "sha256": "fdd579519b98f9c17af40ebf91cc453affe724d33308cb8287fcc8242dbeaac5",
-      "bytes": 50074,
-      "rows": 5,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5569",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005569.lean\",\"d1dd7cbaa5ae11d852dee0cf348dc48bab3dd0050863b17ca2e05948067bf3c3\",0,\"lean_workbook_plus_28427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005570.lean\",\"df34a29e265fafd3d95e9ed09a40dd9da2a38d52ad9d8d7ea7cfe22f18bbafbf\",0,\"lean_workbook_26471\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005571.lean\",\"146e933c0d8c1e997236a6ce99f6978574b72477fbeb9ebf5d6ad398c8ee29f7\",0,\"lean_workbook_plus_73496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93709,
+      "path": "data/train/p2d/oproofs-s00002-r00005568-n000004-0000-0e9d9e7438366506.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0e9d9e7438366506b4279be1c63176ad8c4119d877f036007a0dbce0d4bec8bc"
+    },
+    {
+      "bytes": 50074,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00005568-n000004-0000-fdd579519b98f9c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fdd579519b98f9c17af40ebf91cc453affe724d33308cb8287fcc8242dbeaac5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005572-n000004.json b/manifests/batches/oproofs/s00002-r00005572-n000004.json
index 9e19f9cb10c4ea277e588795060054b969e1cc50..bafde20df50911ea661d2f5d86a5e6aedb34cb69 100644
--- a/manifests/batches/oproofs/s00002-r00005572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005572-n000004",
   "batch_fingerprint": "c8103913098e16aea454f9eb27ecb6e2b49bd04b6ce817524f778ce889c4ceb2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005572-n000004-0000-184d9dd646420896.parquet",
-      "sha256": "184d9dd6464208963904ecb9251ad53d589e6b1ec1b9713f2bc4dc164f73cd97",
-      "bytes": 349062,
-      "rows": 23,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005573.lean\",\"c782875314bea2e82090567559a1f08aa5b35d180ed1b87fd39ef58cd20b1e0d\",0,\"lean_workbook_plus_79036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005574.lean\",\"038dcf61253cdd0369536ed737d2d2abe0ce586d18eee127fa206386ba176681\",0,\"lean_workbook_plus_10196\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005575.lean\",\"48cc03296397eb03b7216516e8bcd51f124ef35c9451cdd92e7f7340454c2634\",0,\"lean_workbook_plus_26218\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349062,
+      "path": "data/train/paf/oproofs-s00002-r00005572-n000004-0000-184d9dd646420896.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "184d9dd6464208963904ecb9251ad53d589e6b1ec1b9713f2bc4dc164f73cd97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005576-n000004.json b/manifests/batches/oproofs/s00002-r00005576-n000004.json
index 569e883675dd224aa141d44a94db4ee4228fba7d..8716c9b62e7075e28dbcd687404bcfd86fce2405 100644
--- a/manifests/batches/oproofs/s00002-r00005576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005576-n000004",
   "batch_fingerprint": "8bfaa96fdbbfbc99e53c79a71923709f9f0f5464a916798993556e66780e3c36",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005576-n000004-0000-5672af7d6b575328.parquet",
-      "sha256": "5672af7d6b57532817e0f4fd9de41a97d67eb3fcbe02e5d14d188331fcc79427",
-      "bytes": 859404,
-      "rows": 15,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005576-n000004-0000-1a1c67095b80e555.parquet",
-      "sha256": "1a1c67095b80e55596e709c667940b43194e707f67bd2361000bc0e5f9d4bd7a",
-      "bytes": 215037,
-      "rows": 5,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5577",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005577.lean\",\"cb81379e4c60600924d64ffa72eecbf2c9c7101e248b8551f533b0f06e015859\",0,\"SetI\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005578.lean\",\"bdda0a0e579b5a7da926b69214f777699c512f44271020043c32b9f4a3333044\",0,\"lean_workbook_plus_6306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005579.lean\",\"cf3cf6114348ac50f7cf4aebdbba3d1d49f557ee9eeb430087bebfefe810571d\",0,\"Real.sin\u03b8\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 859404,
+      "path": "data/train/p6d/oproofs-s00002-r00005576-n000004-0000-5672af7d6b575328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5672af7d6b57532817e0f4fd9de41a97d67eb3fcbe02e5d14d188331fcc79427"
+    },
+    {
+      "bytes": 215037,
+      "path": "data/dev/p6d/oproofs-s00002-r00005576-n000004-0000-1a1c67095b80e555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1a1c67095b80e55596e709c667940b43194e707f67bd2361000bc0e5f9d4bd7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005580-n000004.json b/manifests/batches/oproofs/s00002-r00005580-n000004.json
index 233f7e03fe16d06ab1c15c081d28dfee98dd6586..9e4c2307766bf8eef95e58dce2cc813d441c838b 100644
--- a/manifests/batches/oproofs/s00002-r00005580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005580-n000004",
   "batch_fingerprint": "9d853e1ddff05daaf09c444c6ddffcd347f819aa7d2d755660a95ebdafd8a487",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005580-n000004-0000-0bdd71b7809bae55.parquet",
-      "sha256": "0bdd71b7809bae55c0333b62e9e8015282405fa7d137bd33e29ed0f4cf3493b3",
-      "bytes": 563408,
-      "rows": 20,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005580-n000004-0000-fcac975258ab7464.parquet",
-      "sha256": "fcac975258ab746464020b339334a24c0e8cc0509e4692e86ab2043fee0d274f",
-      "bytes": 117306,
-      "rows": 6,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005581.lean\",\"a2ba2fe6ee2ac3719e4feafd8c3caff6d48af5a72d9f735a6dc6e0254126e229\",0,\"arccos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005582.lean\",\"bb9ed2636e31637583e97150d8267a6bf9b7e6874fef1ae70925dcf36f8c5a1d\",0,\"tan_cot\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005583.lean\",\"2c9e3d338cd9f4eec6a3e42551f58fa9cfff13f0f10a04602955404f9032240f\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 563408,
+      "path": "data/train/p27/oproofs-s00002-r00005580-n000004-0000-0bdd71b7809bae55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0bdd71b7809bae55c0333b62e9e8015282405fa7d137bd33e29ed0f4cf3493b3"
+    },
+    {
+      "bytes": 117306,
+      "path": "data/internal_test/p27/oproofs-s00002-r00005580-n000004-0000-fcac975258ab7464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fcac975258ab746464020b339334a24c0e8cc0509e4692e86ab2043fee0d274f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005584-n000004.json b/manifests/batches/oproofs/s00002-r00005584-n000004.json
index 1b36f7f7dbd769947424354689663d9d7b9de7f6..33afbc121c395901f67e256010b4f2f29663c9ef 100644
--- a/manifests/batches/oproofs/s00002-r00005584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005584-n000004",
   "batch_fingerprint": "2576c5d5d3483be8d445cd9d74d2b454262fb924866683f465cb20cd89859545",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5584",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5585",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5586",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5587"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005584.lean\",\"91af05dcca7d2291f1439f732d8cf9455fd1013d85c65e4efcd803bd43186028\",0,\"min\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005585.lean\",\"b3ce9e282fce238c0d563f1c2159ab4671be55e6ef0196bb1a60b2dbac529020\",0,\"sum_of_squares\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005586.lean\",\"65fbb80e5142ca1264e8edb73736874ca75da7d23b5f4ca8acacdcc1132054e2\",0,\"Topology.filter.min_distance\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005587.lean\",\"f4aa19ed8e9fe70e60cbd6bc9be624c15c69bc0ff3fb25f4f444ac7c8874761f\",0,\"algebra_486095\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005584-n000004-0000-d01b9ca075523d51.parquet",
-      "sha256": "d01b9ca075523d517b86f073182ea4b17b231a9b8d47420e7a7e328c9a49f415",
       "bytes": 1123472,
+      "path": "data/train/p59/oproofs-s00002-r00005584-n000004-0000-d01b9ca075523d51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "d01b9ca075523d517b86f073182ea4b17b231a9b8d47420e7a7e328c9a49f415"
     },
     {
-      "path": "data/train/oproofs-s00002-r00005584-n000004-0001-6cc437bc38ce2d9a.parquet",
-      "sha256": "6cc437bc38ce2d9a136f88f991de36671c686416d04759ddabd3322f0e32ae7d",
       "bytes": 71135,
+      "path": "data/train/p59/oproofs-s00002-r00005584-n000004-0001-6cc437bc38ce2d9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "6cc437bc38ce2d9a136f88f991de36671c686416d04759ddabd3322f0e32ae7d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005584-n000004-0000-d5b0f6aab6d88281.parquet",
-      "sha256": "d5b0f6aab6d88281e9796fe8e40ebafd0d32e76881cb353bea62d4d071b9458a",
       "bytes": 375143,
+      "path": "data/internal_test/p59/oproofs-s00002-r00005584-n000004-0000-d5b0f6aab6d88281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
+      "sha256": "d5b0f6aab6d88281e9796fe8e40ebafd0d32e76881cb353bea62d4d071b9458a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5584",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5585",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5586",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5587"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005584.lean\",\"91af05dcca7d2291f1439f732d8cf9455fd1013d85c65e4efcd803bd43186028\",0,\"min\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005585.lean\",\"b3ce9e282fce238c0d563f1c2159ab4671be55e6ef0196bb1a60b2dbac529020\",0,\"sum_of_squares\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005586.lean\",\"65fbb80e5142ca1264e8edb73736874ca75da7d23b5f4ca8acacdcc1132054e2\",0,\"Topology.filter.min_distance\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005587.lean\",\"f4aa19ed8e9fe70e60cbd6bc9be624c15c69bc0ff3fb25f4f444ac7c8874761f\",0,\"algebra_486095\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005588-n000004.json b/manifests/batches/oproofs/s00002-r00005588-n000004.json
index 7e12e14df6f5494fa8fc3ece4fae00eba8acd0c5..db57afc704e7c8528c4945327052b33e4dd3d79c 100644
--- a/manifests/batches/oproofs/s00002-r00005588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005588-n000004",
   "batch_fingerprint": "a5638d63c3bdb38b6c251a4f4a52a78f290d8a8e9d8fb73fd00bc6eeeb3f6960",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000005/oproofs-s00002-r00005588-n000004-0000-0c74af1a97eb7004.parquet",
-      "sha256": "0c74af1a97eb700419b697b316f61187741a233611ee8b88deddff1743217e15",
-      "bytes": 387477,
-      "rows": 18,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5589",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5590",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005589.lean\",\"84c3cc04be3521a0db1e35398460ca0d4c4d98cdd785448e213412fa675ff2ce\",0,\"algebra_416636\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005590.lean\",\"883b723500b453d1f215e2fdb0524e1927d53d53e77b65c0d906646b446b0652\",0,\"proveU\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005591.lean\",\"61778b34ee4e282dbd674fa0a612fb36732fc66198358b20ada9fb07ffa55ee1\",0,\"proveU\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387477,
+      "path": "data/train/pfa/oproofs-s00002-r00005588-n000004-0000-0c74af1a97eb7004.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0c74af1a97eb700419b697b316f61187741a233611ee8b88deddff1743217e15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005592-n000004.json b/manifests/batches/oproofs/s00002-r00005592-n000004.json
index 56120de453e4ee1541d9a705ef9a50d26b23b91c..b5c38a9f8e9a57bbc94d5155e3498926bddbe13c 100644
--- a/manifests/batches/oproofs/s00002-r00005592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005592-n000004",
   "batch_fingerprint": "da2b7f5fdd6cf6ce0d91f94a0fe80824dc53d0730f7fef6e11a229c5310eeea4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005592-n000004-0000-b99aeb5fb159a8d7.parquet",
-      "sha256": "b99aeb5fb159a8d70adf288dc4e2485c44ffe3f5b4d1962e76d61802ec07f1d7",
-      "bytes": 498344,
-      "rows": 25,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005593.lean\",\"7271a707403c9dfbb9fe8002845587b75cdb8cb1184f7915fa291cefc54330e4\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005594.lean\",\"620ac516ef48e5ff10252c43f6ceb336aba855c3e77fb6e423784d4b925e7a62\",0,\"SumOfReciprocalSqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005595.lean\",\"bad9bdb0253191e46f27ada47554abbd099f2c0946cacbe24b74a890b7c7f8cb\",0,\"algebra_395979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 498344,
+      "path": "data/train/p2a/oproofs-s00002-r00005592-n000004-0000-b99aeb5fb159a8d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "b99aeb5fb159a8d70adf288dc4e2485c44ffe3f5b4d1962e76d61802ec07f1d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005596-n000004.json b/manifests/batches/oproofs/s00002-r00005596-n000004.json
index 13e042841a9a720d0260bc1fc7e713d03851e4ef..3cbff1b137de8bef60243f6f9cd8119b878d8c92 100644
--- a/manifests/batches/oproofs/s00002-r00005596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005596-n000004",
   "batch_fingerprint": "71f2831497a66d9a98d08521e1175e921127cf707b98a9ef63b255e966913239",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005596-n000004-0000-c8c1f373028a595c.parquet",
-      "sha256": "c8c1f373028a595ca7b28899049dc23f0b508329fc15c06d9137ed16f04ed45c",
-      "bytes": 402240,
-      "rows": 12,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005597.lean\",\"6579cd6d52adec3a17cbfa7b9a4b5e7668f75a64fbdfd4f0057215fe5ff166ed\",0,\"prove_fgh\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005598.lean\",\"a1c8377615bfe2ec045b464a02e83661c1054a21a90b09e9c41c6f723d372d71\",0,\"sum_of_infinite_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005599.lean\",\"87fb8a06ecf4ea2f90cf7a37e49c292c497e29003d14e568ce86793885b3fd64\",0,\"functional_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402240,
+      "path": "data/train/p29/oproofs-s00002-r00005596-n000004-0000-c8c1f373028a595c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c8c1f373028a595ca7b28899049dc23f0b508329fc15c06d9137ed16f04ed45c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005600-n000004.json b/manifests/batches/oproofs/s00002-r00005600-n000004.json
index 4f47b5d726aa9c783874e97b80abbd65a2eafd88..2d842350b4e76a64834b262e51f2677bfc5c1f82 100644
--- a/manifests/batches/oproofs/s00002-r00005600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005600-n000004",
   "batch_fingerprint": "85d554238aa39ed55f710548fadf911f5c6b321e255dbde69e038cad5931f815",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005600-n000004-0000-986074dc8fce6a2c.parquet",
-      "sha256": "986074dc8fce6a2c0302daa17858ae3bd186f4e19286c5a3e500485362f34743",
-      "bytes": 773660,
-      "rows": 16,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005600-n000004-0001-d21c71c780dfcb3a.parquet",
-      "sha256": "d21c71c780dfcb3a6681340fad4c4aed7557406150cde8a066ae078c50c1672d",
-      "bytes": 258450,
-      "rows": 4,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005601.lean\",\"e82fd79b0b7bcf34c438b9e9eed45743317b9bc2e902c3bc73a6cbcb38e70846\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005602.lean\",\"8c413db23549dadc83c60671cb6dc27899ff62eadbdb40e0851388c4ab097cdc\",0,\"Prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005603.lean\",\"f14b945f2324712a6fdad0a4491da7b8338a23838be7cf0527bc6f466508d709\",0,\"Real.sin_tan\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 773660,
+      "path": "data/train/p04/oproofs-s00002-r00005600-n000004-0000-986074dc8fce6a2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "986074dc8fce6a2c0302daa17858ae3bd186f4e19286c5a3e500485362f34743"
+    },
+    {
+      "bytes": 258450,
+      "path": "data/train/p04/oproofs-s00002-r00005600-n000004-0001-d21c71c780dfcb3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d21c71c780dfcb3a6681340fad4c4aed7557406150cde8a066ae078c50c1672d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005604-n000004.json b/manifests/batches/oproofs/s00002-r00005604-n000004.json
index a198cea91b9679ee08e34af000d75d9990a3ab22..af9164d76a976bbce9931227fe0c1718f58f5ad9 100644
--- a/manifests/batches/oproofs/s00002-r00005604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005604-n000004",
   "batch_fingerprint": "de95b016860e1382b254c79152834e01e24583096918577cbd5c6020736ad84d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005604-n000004-0000-e3d86ae2e1f2ed55.parquet",
-      "sha256": "e3d86ae2e1f2ed55f6c90162a048c26273ca3a9b8b9676ecf2db2204f15368e9",
-      "bytes": 748983,
-      "rows": 17,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005604-n000004-0001-720d3ec9be12a966.parquet",
-      "sha256": "720d3ec9be12a966f0ab3af553d3bdae02c4c619807a13cd17e926737db18bc5",
-      "bytes": 420912,
-      "rows": 8,
-      "revision": "4693c34e7f63699f79283920d0c99d1b33e8b061"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005605.lean\",\"ec9116d88a8fe03fbdea1860b70f7377dc09040f950092b12e71047149f6a051\",0,\"real_a_b_c\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005606.lean\",\"56bb7892938d7e1ca0950d9e45d045c1cd70a5186dfdab60e69e92b38875c01c\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005607.lean\",\"3e21126044795e323efadefc39e748710050cd56ab968f26b7b97cc2b4411873\",0,\"algebra_480697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 748983,
+      "path": "data/train/p18/oproofs-s00002-r00005604-n000004-0000-e3d86ae2e1f2ed55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e3d86ae2e1f2ed55f6c90162a048c26273ca3a9b8b9676ecf2db2204f15368e9"
+    },
+    {
+      "bytes": 420912,
+      "path": "data/train/p18/oproofs-s00002-r00005604-n000004-0001-720d3ec9be12a966.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "720d3ec9be12a966f0ab3af553d3bdae02c4c619807a13cd17e926737db18bc5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005608-n000004.json b/manifests/batches/oproofs/s00002-r00005608-n000004.json
index 5e3cb989c07e76eed766ef70e780cc41a0f723ce..b60f869a9095b37a9d53725469384b1b370aa138 100644
--- a/manifests/batches/oproofs/s00002-r00005608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005608-n000004",
   "batch_fingerprint": "4aae3271afa3a54d57d354c86bc61fccee5e0b24d8ac7a1a80e73b29187a48e2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005608-n000004-0000-8a7ebd283f0be03b.parquet",
-      "sha256": "8a7ebd283f0be03b72ea3e6fc6c5ee0089c35a0b7081a9cce68728d2e21a79f3",
-      "bytes": 596306,
-      "rows": 29,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005609.lean\",\"1bbff067b7cbed21452d22a9625255681c6a4cfec958c84f8999e8e70d45b1da\",0,\"sumOfPrime\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005610.lean\",\"0173e604fb1ae1fea49f9335f303c97b1912ca413dc286b6e92782b84e84671e\",0,\"algebra_567891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005611.lean\",\"ee6e2b83cb0057826387ef3c1c8fcdc811f6368624c9e59e7cfa8dc66e04e159\",0,\"set_equality_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 596306,
+      "path": "data/train/p9d/oproofs-s00002-r00005608-n000004-0000-8a7ebd283f0be03b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "8a7ebd283f0be03b72ea3e6fc6c5ee0089c35a0b7081a9cce68728d2e21a79f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005612-n000004.json b/manifests/batches/oproofs/s00002-r00005612-n000004.json
index caaef4e7eab2d3fc73b08d8104e40163c7d6b688..6dd153c4f6409fac31845512d7e1279bbf0ff245 100644
--- a/manifests/batches/oproofs/s00002-r00005612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005612-n000004",
   "batch_fingerprint": "44cfd74a9d1e95a4a831e1eb235d9ff05b345287b13cbd5f8db068b11cbfa637",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005612-n000004-0000-b1a2746372ebfef7.parquet",
-      "sha256": "b1a2746372ebfef71119d4f24e479141fd9ab843932d1c9918cfaa7d31215049",
-      "bytes": 118146,
-      "rows": 9,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005612-n000004-0000-ddbd8b1afd059f13.parquet",
-      "sha256": "ddbd8b1afd059f139062322b7a3565b508e486241d9b74b34645e887a5d7f8f3",
-      "bytes": 75225,
-      "rows": 9,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5613",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005613.lean\",\"5e6d7613ba2e10a6898faab8a68249aa95b8209f4040ec3c8d5d84360b209f2d\",0,\"lean_workbook_15972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005614.lean\",\"8bc393516b77a53df1c63c90f9c6f4bbbcadd3bbc643f5e8e82cfd92979dd0c0\",0,\"lean_workbook_plus_17744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005615.lean\",\"df68847669d871ce5897d3a60aa987159260b85dea44c15dcb3781f8283303d8\",0,\"lean_workbook_plus_47435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118146,
+      "path": "data/train/p17/oproofs-s00002-r00005612-n000004-0000-b1a2746372ebfef7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b1a2746372ebfef71119d4f24e479141fd9ab843932d1c9918cfaa7d31215049"
+    },
+    {
+      "bytes": 75225,
+      "path": "data/internal_test/p17/oproofs-s00002-r00005612-n000004-0000-ddbd8b1afd059f13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ddbd8b1afd059f139062322b7a3565b508e486241d9b74b34645e887a5d7f8f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005616-n000004.json b/manifests/batches/oproofs/s00002-r00005616-n000004.json
index b062b142e42456682b76c47f64cde8a07e5096be..9d469382156b236ba70c22f8e78a6eea0230dd18 100644
--- a/manifests/batches/oproofs/s00002-r00005616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005616-n000004",
   "batch_fingerprint": "0a8e2322fe3115505d5be837b5a73fd3ffdb417396d6ba44e2acc7ecd5abbdd8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005616-n000004-0000-6f5470ddef2269f8.parquet",
-      "sha256": "6f5470ddef2269f83f22a272a8a20a80e6d6f110c07d268dd7784993be0237fe",
-      "bytes": 232984,
-      "rows": 15,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005616-n000004-0000-f3dcbf29795debb2.parquet",
-      "sha256": "f3dcbf29795debb2d9814d82a88ae82a02c41c24f7749f3972528b25df9ab0ae",
-      "bytes": 109654,
-      "rows": 4,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005617.lean\",\"ce76bcfc5863f9b9866051e06f48271e659627c3a5740493268d5d88154333af\",0,\"lean_workbook_plus_71132\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005618.lean\",\"6804b63db03d68a10809fe6653b89ec1af8856a3f28b8b81f47f74bca97db266\",0,\"lean_workbook_plus_35849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005619.lean\",\"d9b67cad604a1964d8fe8a5d3e7ad7f7d61f270bf26b9a41db0a367e24da1630\",0,\"lean_workbook_plus_77866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232984,
+      "path": "data/train/p71/oproofs-s00002-r00005616-n000004-0000-6f5470ddef2269f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6f5470ddef2269f83f22a272a8a20a80e6d6f110c07d268dd7784993be0237fe"
+    },
+    {
+      "bytes": 109654,
+      "path": "data/internal_test/p71/oproofs-s00002-r00005616-n000004-0000-f3dcbf29795debb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f3dcbf29795debb2d9814d82a88ae82a02c41c24f7749f3972528b25df9ab0ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005620-n000004.json b/manifests/batches/oproofs/s00002-r00005620-n000004.json
index bdf45504618a61a250b334e18d47914e6eac0420..2737d943356867daf476ac458ecab60be40fa824 100644
--- a/manifests/batches/oproofs/s00002-r00005620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005620-n000004",
   "batch_fingerprint": "e2fa8bbf336bb5b6d8777722cb336850f54f3a04bdda6ea7fd8ddbdfd70790dc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005620-n000004-0000-c3faaa6a075925c2.parquet",
-      "sha256": "c3faaa6a075925c2959d439518015a3f1fd3d38b68c5489e60ec65852bbe7f27",
-      "bytes": 166059,
-      "rows": 14,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005621.lean\",\"b15a0a3a40397d7c559d3f9a1715de70ce36e203cc3eeebbee516dbb20ddbf8c\",0,\"lean_workbook_33213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005622.lean\",\"23ddb7e231ab38acd6a49a3aa3b7d32af232f0a0c445af9fabf2f32b338bf91f\",0,\"lean_workbook_plus_50556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005623.lean\",\"0a26a5d50416a28d6e9ba2d93a4cf04eb7089d3daeee6e46e3b68ca5b377afec\",0,\"even_function_implies_a_eq_neg_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166059,
+      "path": "data/train/p0b/oproofs-s00002-r00005620-n000004-0000-c3faaa6a075925c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c3faaa6a075925c2959d439518015a3f1fd3d38b68c5489e60ec65852bbe7f27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005624-n000004.json b/manifests/batches/oproofs/s00002-r00005624-n000004.json
index 875f776e6197277fc94d54d6495a1273b10b996c..0df814c7a71afccf4f3b9b4ecd521ed80611ba3d 100644
--- a/manifests/batches/oproofs/s00002-r00005624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005624-n000004",
   "batch_fingerprint": "57c011e8ba218e276d1b3cf3c23d0082d4d4ff6b39012c352688076676896283",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005624-n000004-0000-b6520be3ac5a3334.parquet",
-      "sha256": "b6520be3ac5a3334c4e33a47cd50af58a4a27df3c3da86581300d2d9d02216fd",
-      "bytes": 124006,
-      "rows": 11,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005624-n000004-0000-0eb174a14dc4c9ed.parquet",
-      "sha256": "0eb174a14dc4c9ede6f5f3e0a5ed9ed38c101ed054473c5dcb09c467e1185e55",
-      "bytes": 51418,
-      "rows": 4,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005625.lean\",\"b886547cdfac25ccf12d41ca72c06131ba20833bd1fa51ab92e70ee4eadd0220\",0,\"lean_workbook_plus_59825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005626.lean\",\"8d5702e99da12b12efcde341c140bd736c5988974f817c61aba8bf1469a1daae\",0,\"lean_workbook_plus_82822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005627.lean\",\"ad3825b8af5e649eaaba7acc638842e39b616f2ae889eb4dc13295a11bf3be2c\",0,\"lean_workbook_plus_51038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124006,
+      "path": "data/train/p39/oproofs-s00002-r00005624-n000004-0000-b6520be3ac5a3334.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b6520be3ac5a3334c4e33a47cd50af58a4a27df3c3da86581300d2d9d02216fd"
+    },
+    {
+      "bytes": 51418,
+      "path": "data/internal_test/p39/oproofs-s00002-r00005624-n000004-0000-0eb174a14dc4c9ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0eb174a14dc4c9ede6f5f3e0a5ed9ed38c101ed054473c5dcb09c467e1185e55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005628-n000004.json b/manifests/batches/oproofs/s00002-r00005628-n000004.json
index 48f6009b366370958e90188dae0aa529e70b777a..c71156f92e29d9956a1ab987955df17ca6d4cf2d 100644
--- a/manifests/batches/oproofs/s00002-r00005628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005628-n000004",
   "batch_fingerprint": "a90186e18d1b548050544aeb3047786c2b8773ece72066caecf191ca6c20e53e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005628-n000004-0000-3e516b1f0f26fb6d.parquet",
-      "sha256": "3e516b1f0f26fb6d607845602569fd4a3580acc1445e777879d6786bdbe98056",
-      "bytes": 124230,
-      "rows": 10,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005628-n000004-0000-467005154ee1fc1e.parquet",
-      "sha256": "467005154ee1fc1e9cddd6e6957b4fe51d53b6b98da68d44732be2f45f4271be",
-      "bytes": 41983,
-      "rows": 3,
-      "revision": "68e0e78e596c33130b1299af2ffcf9d8d72c0d9b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005629.lean\",\"26fc274c09757fb6615b90238f2f500541af457646f9d309bcf4862cfff23d42\",0,\"lean_workbook_plus_79036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005630.lean\",\"b95db1a2698791b698572743bd1456a58b802f9299f8880e41528d3987ac5623\",0,\"lean_workbook_26471\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005631.lean\",\"58fdb924ee4635fda4cfd203216069fe9cf2db0a22c30691d9350dce371985a7\",0,\"lean_workbook_plus_73496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124230,
+      "path": "data/train/p90/oproofs-s00002-r00005628-n000004-0000-3e516b1f0f26fb6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3e516b1f0f26fb6d607845602569fd4a3580acc1445e777879d6786bdbe98056"
+    },
+    {
+      "bytes": 41983,
+      "path": "data/internal_test/p90/oproofs-s00002-r00005628-n000004-0000-467005154ee1fc1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "467005154ee1fc1e9cddd6e6957b4fe51d53b6b98da68d44732be2f45f4271be"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005632-n000004.json b/manifests/batches/oproofs/s00002-r00005632-n000004.json
index c4e48d53145ead71e2695eadc42b15df1cdffbb4..840712b376a4b10faaa76ca9a6b3ccbbaa844e03 100644
--- a/manifests/batches/oproofs/s00002-r00005632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005632-n000004",
   "batch_fingerprint": "ad25fde4f7938294774195af3a40937e97c8f5b7ad76df2bb85f19f135b5b01f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005632-n000004-0000-0549ee8b3aa690db.parquet",
-      "sha256": "0549ee8b3aa690dbd01cdc86ff3658f764f2de271f801781e1ec7c6135bd610f",
-      "bytes": 338173,
-      "rows": 25,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005633.lean\",\"5e4baed01a9a67055f840927de0086f85a08c882801696b6ee6cd442d3ab8470\",0,\"lean_workbook_22923\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005634.lean\",\"9155c7930be008939e0267ae05fa8e5eaf134b313891a9c1f19bacfab4422489\",0,\"lean_workbook_plus_10196\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005635.lean\",\"aab7fb488ebffa3890edfaa01a9bb0e2de03c5cf9604f623141b8b36f30cecb7\",0,\"lean_workbook_plus_64887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 338173,
+      "path": "data/train/pcc/oproofs-s00002-r00005632-n000004-0000-0549ee8b3aa690db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0549ee8b3aa690dbd01cdc86ff3658f764f2de271f801781e1ec7c6135bd610f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005636-n000004.json b/manifests/batches/oproofs/s00002-r00005636-n000004.json
index 55e146e403e8b9d7d11df574ac6b1f92bf09769c..304bc1cf626720d0d825ffa3f26f433fd97717b4 100644
--- a/manifests/batches/oproofs/s00002-r00005636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005636-n000004",
   "batch_fingerprint": "959709876e9005a055e72600dd270edfacc28e57b399312b6d99b2cfe1e27a5d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005636-n000004-0000-c2d6dfb3d9f7ae69.parquet",
-      "sha256": "c2d6dfb3d9f7ae69a3b7b6739305bc5b7df7bba539741773b0005c27937cb659",
-      "bytes": 442096,
-      "rows": 19,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005636-n000004-0000-d88db29e6cf7b25e.parquet",
-      "sha256": "d88db29e6cf7b25e831c8070e9a7a1ac52aceb587fad2f2b46c6ca7a1a59e41d",
-      "bytes": 226854,
-      "rows": 11,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5637",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005637.lean\",\"368a8bf39d590472dfb83b18de451488934340539f513e2436cf5719fe4cacfc\",0,\"lean_workbook_plus_26218\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005638.lean\",\"36d0318c6d621a398031307e24d0884037696ca4f2f8002fbe3a800c91a173d1\",0,\"lean_workbook_plus_66903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005639.lean\",\"7b547dd0b70c7df6671701611eb0825cd471f914396e2b74257306766e56ba3a\",0,\"theta\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 442096,
+      "path": "data/train/p70/oproofs-s00002-r00005636-n000004-0000-c2d6dfb3d9f7ae69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c2d6dfb3d9f7ae69a3b7b6739305bc5b7df7bba539741773b0005c27937cb659"
+    },
+    {
+      "bytes": 226854,
+      "path": "data/internal_test/p70/oproofs-s00002-r00005636-n000004-0000-d88db29e6cf7b25e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d88db29e6cf7b25e831c8070e9a7a1ac52aceb587fad2f2b46c6ca7a1a59e41d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005640-n000004.json b/manifests/batches/oproofs/s00002-r00005640-n000004.json
index 3c8170391429a4df975f232ff05ce8daa15779e8..4a8c8884655a1e6deb51d0b32a115a18d6e4d9d8 100644
--- a/manifests/batches/oproofs/s00002-r00005640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005640-n000004",
   "batch_fingerprint": "3ca3cdc830f5d2f64704e33ab459b31729ba2e1cffa4518ce50a4c850cb9ba07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005640-n000004-0000-52faa1d009462d84.parquet",
-      "sha256": "52faa1d009462d8472a1e9d0701d9b25093b6a28c5427543a8ff217769a83bcc",
-      "bytes": 459277,
-      "rows": 12,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005640-n000004-0000-ba022abfa3e9a9cf.parquet",
-      "sha256": "ba022abfa3e9a9cf15c04d297e5b1c2bedf083e1ff634603acf383eaa6b19cd7",
-      "bytes": 344145,
-      "rows": 17,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5641",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005641.lean\",\"829b3dadbf24b313c053bc19682fbaa91ddaea50d3b7301cdfd8675e09b854dd\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005642.lean\",\"c973b0c2004774f217e94477541766209ae1bbaffa54ba67c9cce0552f35fbd6\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005643.lean\",\"0e7b92d7d8a8d1052808cbe007479a3d9dc195d2f776cede865f1a2b09f3aaaf\",0,\"tan_cot_75\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 459277,
+      "path": "data/train/p9b/oproofs-s00002-r00005640-n000004-0000-52faa1d009462d84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "52faa1d009462d8472a1e9d0701d9b25093b6a28c5427543a8ff217769a83bcc"
+    },
+    {
+      "bytes": 344145,
+      "path": "data/internal_test/p9b/oproofs-s00002-r00005640-n000004-0000-ba022abfa3e9a9cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ba022abfa3e9a9cf15c04d297e5b1c2bedf083e1ff634603acf383eaa6b19cd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005644-n000004.json b/manifests/batches/oproofs/s00002-r00005644-n000004.json
index 413596b2be20019621bca7d891ff530d22793222..b595591cb0fb5392b71c170f6339564a71e18bb8 100644
--- a/manifests/batches/oproofs/s00002-r00005644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005644-n000004",
   "batch_fingerprint": "da91ee35480afdc04166a79ded62cd9a80520052a457812b77f505031f729397",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005644-n000004-0000-6ed543ad00bc226f.parquet",
-      "sha256": "6ed543ad00bc226f4038cf2019e0f335cde8e876ed720fd6aa6a042d84655e45",
-      "bytes": 646330,
-      "rows": 15,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005644-n000004-0000-231a3d817c35b560.parquet",
-      "sha256": "231a3d817c35b5607d01e5dd998497ee6807abd6b0d6eef6853c9e9ad46527c6",
-      "bytes": 163747,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005645.lean\",\"7dd15c7f79d99a41889f934d6cf5676d5f501f708a60e74ba6c0720069786313\",0,\"Topology.filter.min_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005646.lean\",\"650a2b01626d609115d9084db81a3a898ad146bd653639fc7f977c828fc743bc\",0,\"triangle_ine\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005647.lean\",\"eb1ca2cd6fc7a10ec2538c2656e355fd691bfcfc9896f444611b3033335adf5e\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 646330,
+      "path": "data/train/pef/oproofs-s00002-r00005644-n000004-0000-6ed543ad00bc226f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6ed543ad00bc226f4038cf2019e0f335cde8e876ed720fd6aa6a042d84655e45"
+    },
+    {
+      "bytes": 163747,
+      "path": "data/internal_test/pef/oproofs-s00002-r00005644-n000004-0000-231a3d817c35b560.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "231a3d817c35b5607d01e5dd998497ee6807abd6b0d6eef6853c9e9ad46527c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005648-n000004.json b/manifests/batches/oproofs/s00002-r00005648-n000004.json
index 654acc1d7fb05d3db076f7d6d984b9b3e72c888d..97014fb71527c507e9f18b3f5c18f8bc9d1a8f40 100644
--- a/manifests/batches/oproofs/s00002-r00005648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005648-n000004",
   "batch_fingerprint": "2abed47b3c485b61a57f081305724377cd0210e54fe62ee778fdaf26f6053b16",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005648-n000004-0000-d05b5cac379a29b9.parquet",
-      "sha256": "d05b5cac379a29b9f68cce2c33ed439079806ee85511e6a583069ddadd84fe10",
-      "bytes": 247661,
-      "rows": 6,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005648-n000004-0000-e4e6fbd8393f8a8c.parquet",
-      "sha256": "e4e6fbd8393f8a8c5a1583b16ceccc81e7e6a74d8586b3713da8664ccd86beb6",
-      "bytes": 53109,
-      "rows": 3,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5649",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5650",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005649.lean\",\"8bf486bcfeb4bd9efb10a04c9735fed9f1c80953770812017e1b52f5d2556630\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005650.lean\",\"fa2f962c5a9c01d5435130daff202edd78499d851d77eb110ec3c44cff77081a\",0,\"proveU\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005651.lean\",\"1d6c211bc382cb6b67542c3017f3e3a95822e6fe786c72d12361f0e331f087a6\",0,\"TopologyFilterRealComplexTopologicalSpaceFinset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247661,
+      "path": "data/train/p04/oproofs-s00002-r00005648-n000004-0000-d05b5cac379a29b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d05b5cac379a29b9f68cce2c33ed439079806ee85511e6a583069ddadd84fe10"
+    },
+    {
+      "bytes": 53109,
+      "path": "data/internal_test/p04/oproofs-s00002-r00005648-n000004-0000-e4e6fbd8393f8a8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e4e6fbd8393f8a8c5a1583b16ceccc81e7e6a74d8586b3713da8664ccd86beb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005652-n000004.json b/manifests/batches/oproofs/s00002-r00005652-n000004.json
index 6d69511bb274ed732da272966948c3ca2526a326..4b4038da9a6a6f009e09cf089908cf476d6f69d2 100644
--- a/manifests/batches/oproofs/s00002-r00005652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005652-n000004",
   "batch_fingerprint": "57500521cf860bba932558c72fec937bbd729d080e605d93f9a79cc6e7a9c836",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005652-n000004-0000-d268dc3beb86c92b.parquet",
-      "sha256": "d268dc3beb86c92bc11bef953c82d2c23af47e0106bad7f6e406fe7c9f2bf8a3",
-      "bytes": 905442,
-      "rows": 13,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005652-n000004-0001-9132cf772333ab41.parquet",
-      "sha256": "9132cf772333ab417a9f6634ca4102ae30e51b2b915a08144f29ecffb2d67520",
-      "bytes": 511439,
-      "rows": 16,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5653",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005653.lean\",\"2d3cecdcdbf20f6cf928952550defbf3cc0eaf0f2b0b57a94edd7bd781709289\",0,\"algebra_378671\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005654.lean\",\"31df918f03dda96ed48180124d4ecb5d1d3635defec9864032c8d0ea4eec842e\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005655.lean\",\"114e5ed35a902494f7e8f61c1a60696d0926f1ea622ff802ddc573743bb438f9\",0,\"triangle_ineq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 905442,
+      "path": "data/train/pf4/oproofs-s00002-r00005652-n000004-0000-d268dc3beb86c92b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d268dc3beb86c92bc11bef953c82d2c23af47e0106bad7f6e406fe7c9f2bf8a3"
+    },
+    {
+      "bytes": 511439,
+      "path": "data/train/pf4/oproofs-s00002-r00005652-n000004-0001-9132cf772333ab41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9132cf772333ab417a9f6634ca4102ae30e51b2b915a08144f29ecffb2d67520"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005656-n000004.json b/manifests/batches/oproofs/s00002-r00005656-n000004.json
index e7548bd7ea4f114a090bf774002aac3337a8b8c8..a02177e67ff0f16eae11bf83d257912b608738ac 100644
--- a/manifests/batches/oproofs/s00002-r00005656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005656-n000004",
   "batch_fingerprint": "e14288dce167ecfe5abb94be1166e7ad359d5cf6dc79d33b004e5b09a550183e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005656-n000004-0000-2e9f682da91e70cd.parquet",
-      "sha256": "2e9f682da91e70cd0134d56996ddf532eb1f7de9a10a4075be2e009428bfc10c",
-      "bytes": 1394634,
-      "rows": 18,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005656-n000004-0000-432949e142786720.parquet",
-      "sha256": "432949e142786720a7900f1f04977c8644f2d36fad3a657f73c25f15d587c51c",
-      "bytes": 141160,
-      "rows": 12,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5657",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005657.lean\",\"d4f278457ec2b26ea341ab39b2648b33045daa47c24b47725f48c26430ba90ad\",0,\"Real.sqrt_incr\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005658.lean\",\"36307b6aa1869aeab306ea1e407dacbc71a93130cb22d3ac84d78fe4a50923a5\",0,\"algebra_473989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005659.lean\",\"3d4b535d4e15f42bccc87bc0790c777b2873a363e52fe9f09764d9dc3ea2c636\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1394634,
+      "path": "data/train/pf6/oproofs-s00002-r00005656-n000004-0000-2e9f682da91e70cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2e9f682da91e70cd0134d56996ddf532eb1f7de9a10a4075be2e009428bfc10c"
+    },
+    {
+      "bytes": 141160,
+      "path": "data/internal_test/pf6/oproofs-s00002-r00005656-n000004-0000-432949e142786720.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "432949e142786720a7900f1f04977c8644f2d36fad3a657f73c25f15d587c51c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005660-n000004.json b/manifests/batches/oproofs/s00002-r00005660-n000004.json
index ef50c8d06989319f4797fc00182776c60a5fcc8a..b637579268c05eb0b15777b593d9253f85aeb93b 100644
--- a/manifests/batches/oproofs/s00002-r00005660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005660-n000004",
   "batch_fingerprint": "9024f32d2c4f6f54e16011333dbfe56b5e2ed709c29f9f3cf75c9541907370be",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005660-n000004-0000-6e78e6fea3f0338c.parquet",
-      "sha256": "6e78e6fea3f0338cf44d646f15def2c4a8868ebcf4a0804f6d8ba61a14f11684",
-      "bytes": 347520,
-      "rows": 20,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5661",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5662",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005661.lean\",\"f7e29cb2dbc366c5e9a7e4371f08ace9f7104920a8944b4bbca5a5fa8baa63ff\",0,\"Real.sin_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005662.lean\",\"79aad5b454b619c8305b660aae3007d0d633e0f623c79e319f1f969058156bb6\",0,\"number_theory\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005663.lean\",\"c2a43933e24e829bda4a7cca6e10ebb4b3eb4a714fae41453fa357c4d2bac3df\",0,\"IntegersSum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347520,
+      "path": "data/train/pb1/oproofs-s00002-r00005660-n000004-0000-6e78e6fea3f0338c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6e78e6fea3f0338cf44d646f15def2c4a8868ebcf4a0804f6d8ba61a14f11684"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005664-n000004.json b/manifests/batches/oproofs/s00002-r00005664-n000004.json
index 87fa3ed9e5bfe4d036b62f3469ee4692688ff70c..ca76d4d7148840d16983919e6a3f5202a98ce935 100644
--- a/manifests/batches/oproofs/s00002-r00005664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005664-n000004",
   "batch_fingerprint": "93a85e2e54ce1272a6fe555868070214a821b0edd8fd975f4c0e6fe65c670dbe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005664-n000004-0000-1351dcc16d34288e.parquet",
-      "sha256": "1351dcc16d34288ec2bd671dfc788a976b19ef08c5ffdad6b8004890c391f725",
-      "bytes": 359111,
-      "rows": 15,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005664-n000004-0000-abf44d44470365ab.parquet",
-      "sha256": "abf44d44470365ab1946efbce9f3848d613f518b16af55c5e3d75274fa6bdfd0",
-      "bytes": 378691,
-      "rows": 10,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005665.lean\",\"5d0be8ce3ff3e12bb6275e79a2851bf777698b4f863feabc5a25e0c5442388d2\",0,\"exp_diff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005666.lean\",\"71c6b0a04d4e809d5cd59d429495811199dd2892a78d20a9a1a20cc8081db2bd\",0,\"tan_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005667.lean\",\"78cb2d87a777bba9f8388b298cdd96d3348a2e7b7a3e2481806b7943b731f0fc\",0,\"max_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359111,
+      "path": "data/train/p73/oproofs-s00002-r00005664-n000004-0000-1351dcc16d34288e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1351dcc16d34288ec2bd671dfc788a976b19ef08c5ffdad6b8004890c391f725"
+    },
+    {
+      "bytes": 378691,
+      "path": "data/internal_test/p73/oproofs-s00002-r00005664-n000004-0000-abf44d44470365ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "abf44d44470365ab1946efbce9f3848d613f518b16af55c5e3d75274fa6bdfd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005668-n000004.json b/manifests/batches/oproofs/s00002-r00005668-n000004.json
index 4a9e82bb7f91fabb6037d041fefaff14cf1e7f04..e6639f124a71de1b7e812a85ceb33f2a55c5962f 100644
--- a/manifests/batches/oproofs/s00002-r00005668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005668-n000004",
   "batch_fingerprint": "e8f6856a9365849f7ab0ca450ffe20de1bf46ae9ace80d46417c3e5ded3870d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005668-n000004-0000-fa7ae628f7678a2f.parquet",
-      "sha256": "fa7ae628f7678a2fd5e000b9c15ecd6267388226cc8705a02def38498ae1c4a5",
-      "bytes": 646215,
-      "rows": 21,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5669",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005669.lean\",\"86ee46fbd869bf3455db1a4f9ef37ab126ff67181d002aaf1788dd8f3d62ed03\",0,\"RealSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005670.lean\",\"f8b843aefe01d6dfe71fbd05e03950251be6b68c3bae1eb400a7306bf9019892\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005671.lean\",\"5bcc15e9b25c2cdd22212ac438c92c1a9116482f4012608f1904868ffe12f74a\",0,\"sumOfCubes\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 646215,
+      "path": "data/train/pca/oproofs-s00002-r00005668-n000004-0000-fa7ae628f7678a2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "fa7ae628f7678a2fd5e000b9c15ecd6267388226cc8705a02def38498ae1c4a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005672-n000004.json b/manifests/batches/oproofs/s00002-r00005672-n000004.json
index 45032922234236d04859c958f8c8e36cb397a723..1fb2dec991c41186ce01415c9b97532b4286612b 100644
--- a/manifests/batches/oproofs/s00002-r00005672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005672-n000004",
   "batch_fingerprint": "39d5a249ffddb1cad75941581e5f954154a1d29a2b942c5c656ef2b60b1f459b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005672-n000004-0000-61ae4697886377e5.parquet",
-      "sha256": "61ae4697886377e5e2c814b2b27f4ffce685cfaa42489d6afea57e98c6566393",
-      "bytes": 302521,
-      "rows": 20,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005672-n000004-0000-add26bd6c76aaa25.parquet",
-      "sha256": "add26bd6c76aaa25e5ebcd9da59d6b94248d70c6f1695a1b1ac6e61fa047b803",
-      "bytes": 299506,
-      "rows": 9,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5673",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005673.lean\",\"4d3ad4cb4391f9896f99bc98bdfb2949583d7e8b8e4f541b8080f694536477a0\",0,\"Real.sin_tan\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005674.lean\",\"6df164ed0fb01d366286022b50dadda72eee5d039cc52ba6a3d0eb3874ecc2ae\",0,\"exp_lt_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005675.lean\",\"e34b9a121d2530f9a90ce3c302edc3414bda2aee5d67967721bad19ac21b76f0\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302521,
+      "path": "data/train/p10/oproofs-s00002-r00005672-n000004-0000-61ae4697886377e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "61ae4697886377e5e2c814b2b27f4ffce685cfaa42489d6afea57e98c6566393"
+    },
+    {
+      "bytes": 299506,
+      "path": "data/internal_test/p10/oproofs-s00002-r00005672-n000004-0000-add26bd6c76aaa25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "add26bd6c76aaa25e5ebcd9da59d6b94248d70c6f1695a1b1ac6e61fa047b803"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005676-n000004.json b/manifests/batches/oproofs/s00002-r00005676-n000004.json
index c934f611f00831e55ae93028d86590810cae9b42..2b2eb09bc7edfaa7aa51bad19da0bbe9000c7386 100644
--- a/manifests/batches/oproofs/s00002-r00005676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005676-n000004",
   "batch_fingerprint": "d5cfa4e242511152249addf5cbb39f8e0a12e5cd184ba9d55a0dce048ab737c8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005676-n000004-0000-265c9d2a27581b26.parquet",
-      "sha256": "265c9d2a27581b269d192260feb3266f523aff385989f440b32520d7342b20d8",
-      "bytes": 757470,
-      "rows": 10,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005676-n000004-0001-ccd8629d4fe64a6d.parquet",
-      "sha256": "ccd8629d4fe64a6de7fb9eed948deda7feb0e97521abf8b10eb00dde8697c635",
-      "bytes": 690295,
-      "rows": 15,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5677",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005677.lean\",\"062d199c79fedc5baf7bf2b5c2cabfc91644791c62554fcd6211e94e127a569b\",0,\"sumOfPrime\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005678.lean\",\"840ab9b6d03d371b3343a40cf43e4a6a4bac9be8e1dd18659946e67c3791ad05\",0,\"sqrt_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005679.lean\",\"52037c4d12955c6a6f054f0bd69645749602eff04cc794c64712c8cafb9cde41\",0,\"algebra_480697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 757470,
+      "path": "data/train/p30/oproofs-s00002-r00005676-n000004-0000-265c9d2a27581b26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "265c9d2a27581b269d192260feb3266f523aff385989f440b32520d7342b20d8"
+    },
+    {
+      "bytes": 690295,
+      "path": "data/train/p30/oproofs-s00002-r00005676-n000004-0001-ccd8629d4fe64a6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ccd8629d4fe64a6de7fb9eed948deda7feb0e97521abf8b10eb00dde8697c635"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005680-n000004.json b/manifests/batches/oproofs/s00002-r00005680-n000004.json
index 6554c754d4d536af6aa5af89d9999d6682e56231..706189b293f63737487c9672dae4a58b80e258f1 100644
--- a/manifests/batches/oproofs/s00002-r00005680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005680-n000004",
   "batch_fingerprint": "3ab5201288c25c2f34008a24c7b11d730618cba43dd281025bbabe36abbb287a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005680-n000004-0000-b29e0ea393ecef6a.parquet",
-      "sha256": "b29e0ea393ecef6a30352a6441dc0fc3d1673db58efdec6fb0dc79a03a55f421",
-      "bytes": 588423,
-      "rows": 15,
-      "revision": "95c6d8e413c2ca6b2ddb465d4d0b8af45b049a18"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5681",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005681.lean\",\"16c8dadeab89fb36dfdf22bb46d8026c75fe28e62bec0209c75449fae5f2b4b0\",0,\"algebra.RingHom\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005682.lean\",\"92adedec5ba198611cde83a18fe6ce67bed7c1b485ca772f84d9d7aaa236dbfc\",0,\"algebra_465684\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005683.lean\",\"7b0dc569a45c2562e43f1cb8e8c8f173726715df046e283eb7288fa6b528bc92\",0,\"algebra_467580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588423,
+      "path": "data/train/pe2/oproofs-s00002-r00005680-n000004-0000-b29e0ea393ecef6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b29e0ea393ecef6a30352a6441dc0fc3d1673db58efdec6fb0dc79a03a55f421"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005684-n000004.json b/manifests/batches/oproofs/s00002-r00005684-n000004.json
index b9b4deabafb3bbdad8dcc7c10c37e0e0f0828ea1..e0b4ede1699c58c6b5f70021e6f6fc0273414a75 100644
--- a/manifests/batches/oproofs/s00002-r00005684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005684-n000004",
   "batch_fingerprint": "c7c059cd8e4112ff9f119acfbe76b1ed1a1dd7e76db9727cfbd37323dcd2d4ed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005684-n000004-0000-bd65990ffe9514d0.parquet",
-      "sha256": "bd65990ffe9514d083cf4b69a2e8a3bbb8761b47ecc4a077676d099558b89b7e",
-      "bytes": 92115,
-      "rows": 12,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005684-n000004-0000-e34921fa7c4116ce.parquet",
-      "sha256": "e34921fa7c4116ce62af820b0b6edcffdbdb8caf3958f638e2087cc1a619d9a5",
-      "bytes": 52186,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005685.lean\",\"1d907dd4f225dcf00a8772b8b3eb2b186a970b31a5a2f3792c67012be4c78f95\",0,\"lean_workbook_15972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005686.lean\",\"8e8a7f2a6b01cbe47fe0b5b31623b645dfc1a77cffb634c270755d4b8a984d1c\",0,\"domain_intersection_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005687.lean\",\"737268c3880d0d9ee75a5fc2236f4a25955ff819c22e7ee10b4f735780cb0768\",0,\"lean_workbook_plus_21611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92115,
+      "path": "data/train/pd3/oproofs-s00002-r00005684-n000004-0000-bd65990ffe9514d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bd65990ffe9514d083cf4b69a2e8a3bbb8761b47ecc4a077676d099558b89b7e"
+    },
+    {
+      "bytes": 52186,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00005684-n000004-0000-e34921fa7c4116ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e34921fa7c4116ce62af820b0b6edcffdbdb8caf3958f638e2087cc1a619d9a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005688-n000004.json b/manifests/batches/oproofs/s00002-r00005688-n000004.json
index 82744d9f8ecb92d69c1e8e963695089fe5a46d95..c7fe6125fa04677f71bf95a87ff561a097ff275a 100644
--- a/manifests/batches/oproofs/s00002-r00005688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005688-n000004",
   "batch_fingerprint": "e6ce4c6fc0d038df768d24b8d0552a7a0ac5bd54a1e59a8f791c6ad7256b4332",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005688-n000004-0000-422df27973ad026f.parquet",
-      "sha256": "422df27973ad026f5fbbcd3f1fe9801d26319eda6e134059e93db44bbc1be96c",
-      "bytes": 203051,
-      "rows": 17,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005688-n000004-0000-fea2fa4dadfd29c5.parquet",
-      "sha256": "fea2fa4dadfd29c519065591c3e3f366785c6c7a3c7b2b0f33cc8bdc8f99b252",
-      "bytes": 38224,
-      "rows": 3,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005689.lean\",\"96d303507a04793ffd0b161a5340f9c912d00e46cf3e3cd45ed4f618e2a2520c\",0,\"lean_workbook_36969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005690.lean\",\"7b1bb9bc8ef44225efc84d283a4a966775b1e525edf834d9d21f6a645df19930\",0,\"lean_workbook_plus_17744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005691.lean\",\"8705bc4cc7f66ea10e71d9897158b6bb456177b0247073573d607bdb6a53d1d0\",0,\"lean_workbook_plus_50556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203051,
+      "path": "data/train/p01/oproofs-s00002-r00005688-n000004-0000-422df27973ad026f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "422df27973ad026f5fbbcd3f1fe9801d26319eda6e134059e93db44bbc1be96c"
+    },
+    {
+      "bytes": 38224,
+      "path": "data/internal_test/p01/oproofs-s00002-r00005688-n000004-0000-fea2fa4dadfd29c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fea2fa4dadfd29c519065591c3e3f366785c6c7a3c7b2b0f33cc8bdc8f99b252"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005692-n000004.json b/manifests/batches/oproofs/s00002-r00005692-n000004.json
index 817b1c3181a563657026e675a6ebfe4cf5182aae..9f5965178ce10e6c16c5bd115e8a360fe40a7037 100644
--- a/manifests/batches/oproofs/s00002-r00005692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005692-n000004",
   "batch_fingerprint": "1fc11f2ef5032923ec1e8fbb593b9e7639e8f05b172a7a0c00c6d8c340ac2d70",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005692-n000004-0000-720ee7371993a110.parquet",
-      "sha256": "720ee7371993a1109dc3e4ddfb49d7bb1ddc4521341904bcfc8e9318e9e15d0b",
-      "bytes": 142619,
-      "rows": 13,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005693.lean\",\"bdd969136f60f1eb6f4244e9c97468513b5a4395f6f146dc5085f44ecd32f4a6\",1,\"odd_cube_negation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005694.lean\",\"e07b1f22d4a83dbfd42966e95cc78ca8b4883d0685d0899358977e9ae554ead9\",0,\"lean_workbook_plus_82822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005695.lean\",\"2ee15dd8529d949760d93f6d712da291be8b64bcd0227de8cb4a8ed6bbaf1092\",0,\"lean_workbook_plus_59825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142619,
+      "path": "data/train/pbe/oproofs-s00002-r00005692-n000004-0000-720ee7371993a110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "720ee7371993a1109dc3e4ddfb49d7bb1ddc4521341904bcfc8e9318e9e15d0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005696-n000004.json b/manifests/batches/oproofs/s00002-r00005696-n000004.json
index 0e50315530563f1d0577ae3557913c5f0adb09fc..313566bc96b531af635fbd1689d7b95fb04ce62c 100644
--- a/manifests/batches/oproofs/s00002-r00005696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005696-n000004",
   "batch_fingerprint": "b3d957083831f70a4f0fda12d221e4def2e73dc98ff44dfb89ec2c20b9fef2ae",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005696-n000004-0000-3e0ed0f31b824f3b.parquet",
-      "sha256": "3e0ed0f31b824f3bc29529089d70b4f8e47d411ada4d6e8c2ad9b86523b2c878",
-      "bytes": 108849,
-      "rows": 9,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005696-n000004-0000-6d18a766acc7920b.parquet",
-      "sha256": "6d18a766acc7920bb477277bd72a13af5a141d28cd98db8f027960e01f9d4b14",
-      "bytes": 51574,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005697.lean\",\"1ab7e78ae2c9c4725f5fa7240263f239e7206569c9805184c2d0428d98cca93b\",0,\"lean_workbook_plus_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005698.lean\",\"f16ddd180dcd1af49bc4f6c2084011840f0d4979063d66260609e269e279dd9e\",0,\"max_constant_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005699.lean\",\"e8c040de4fd5c32bbb8c4de1ccdb769624594b6b7a47d5e11be19a18f2ef9297\",0,\"lean_workbook_plus_51038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108849,
+      "path": "data/train/p00/oproofs-s00002-r00005696-n000004-0000-3e0ed0f31b824f3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3e0ed0f31b824f3bc29529089d70b4f8e47d411ada4d6e8c2ad9b86523b2c878"
+    },
+    {
+      "bytes": 51574,
+      "path": "data/internal_test/p00/oproofs-s00002-r00005696-n000004-0000-6d18a766acc7920b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6d18a766acc7920bb477277bd72a13af5a141d28cd98db8f027960e01f9d4b14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005700-n000004.json b/manifests/batches/oproofs/s00002-r00005700-n000004.json
index de3d610468cfadc1bf36f4a2aa3450d6a0e45a66..48b46d1e5ac371ee749897487605155e3c1f222a 100644
--- a/manifests/batches/oproofs/s00002-r00005700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005700-n000004",
   "batch_fingerprint": "27e39952ebc13d134f55ac12fb32afa241d50182f58df3b54c3f28f09c2ef3a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005700-n000004-0000-d1146fc72c99b9b7.parquet",
-      "sha256": "d1146fc72c99b9b719a3c77cefd11d2c4aa24a71b4ff31e2ac419b2fcbea94a7",
-      "bytes": 160239,
-      "rows": 15,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005700-n000004-0000-d0e6fc036149ddde.parquet",
-      "sha256": "d0e6fc036149ddde930f6fc0a4a8f0ddbe168a8eacb26f674e6fa8f716331e31",
-      "bytes": 43755,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005701.lean\",\"5b9357d9ab4577081e58914aba3faa2376a4db31c1dd9de0d73f9f63f852746e\",0,\"lean_workbook_plus_7719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005702.lean\",\"d8e9beb1f84b2c6560cfc3c2064db56485c14a91ea8c01888849fdb95dc310f9\",0,\"lean_workbook_26471\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005703.lean\",\"bdd677b1763ee7410636270fe900d33c195a0b5c56170097cf974747636ff6b4\",0,\"lean_workbook_plus_73496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160239,
+      "path": "data/train/pa9/oproofs-s00002-r00005700-n000004-0000-d1146fc72c99b9b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d1146fc72c99b9b719a3c77cefd11d2c4aa24a71b4ff31e2ac419b2fcbea94a7"
+    },
+    {
+      "bytes": 43755,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00005700-n000004-0000-d0e6fc036149ddde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d0e6fc036149ddde930f6fc0a4a8f0ddbe168a8eacb26f674e6fa8f716331e31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005704-n000004.json b/manifests/batches/oproofs/s00002-r00005704-n000004.json
index 69f659acd3603a0697c20cc38b73bd9f4f6a88a6..e13e447bdad00719743d76067160355067225756 100644
--- a/manifests/batches/oproofs/s00002-r00005704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005704-n000004",
   "batch_fingerprint": "80dc31b7f7a9fa251c556281e75380fc0c44da0ab74f8b1d00537dffedb05f5c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005704-n000004-0000-81852770e1c887af.parquet",
-      "sha256": "81852770e1c887affe24daede61b2ac6c1c58890866eb8e1e65d24939e6b4423",
-      "bytes": 214338,
-      "rows": 20,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005704-n000004-0000-b30b969d11de174d.parquet",
-      "sha256": "b30b969d11de174dccf82147c2e3979386a88c0a731b58c918b04855a9e5233b",
-      "bytes": 97194,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005705.lean\",\"0b3448bf499e92d04c644ba9949328310e7f37d12b3feba7c08601bd8f9ddce7\",0,\"lean_workbook_plus_28427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005706.lean\",\"fc0c43bf7dd60f02cadbad5d4cacec12acace5fc25bb914c7297369fa92e6573\",0,\"lean_workbook_plus_35849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005707.lean\",\"6d5cf8dd6a5dd299a281823d358427620de00f458d709b722c05b4382f13c1d0\",0,\"lean_workbook_22923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214338,
+      "path": "data/train/p6d/oproofs-s00002-r00005704-n000004-0000-81852770e1c887af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "81852770e1c887affe24daede61b2ac6c1c58890866eb8e1e65d24939e6b4423"
+    },
+    {
+      "bytes": 97194,
+      "path": "data/internal_test/p6d/oproofs-s00002-r00005704-n000004-0000-b30b969d11de174d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b30b969d11de174dccf82147c2e3979386a88c0a731b58c918b04855a9e5233b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005708-n000004.json b/manifests/batches/oproofs/s00002-r00005708-n000004.json
index 4eacc4e68749acdd2ab9c2f29c213ea591cc1183..29bedeeabd1746649c2c6683614ae7973831962f 100644
--- a/manifests/batches/oproofs/s00002-r00005708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005708-n000004",
   "batch_fingerprint": "4cb6ac467a8f02ab6452b667f565ab7289bb29966168c07f2091d4b7fab25143",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005708-n000004-0000-113c4cd1d5261250.parquet",
-      "sha256": "113c4cd1d52612503055793fbeb487d39aade920b62ce4fa7aed0dd38a947688",
-      "bytes": 414830,
-      "rows": 13,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005709.lean\",\"f79e2dfd2a01c6028eed5d682fb6488c83ed0f52e218a28f09158d6dd7c69e4e\",0,\"lean_workbook_plus_66903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005710.lean\",\"1b9617d8f7c6237f800de431aad6b87924e380198212f9152cc9678815e4289d\",0,\"lean_workbook_plus_64887\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005711.lean\",\"2add878a7f00ab915de41966ac2b63120a21285a0a6767cd43e75d688f9cfd78\",0,\"SetI\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414830,
+      "path": "data/train/p35/oproofs-s00002-r00005708-n000004-0000-113c4cd1d5261250.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "113c4cd1d52612503055793fbeb487d39aade920b62ce4fa7aed0dd38a947688"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005712-n000004.json b/manifests/batches/oproofs/s00002-r00005712-n000004.json
index 5e0c2537acaf5b7203e1a1493060599116bfbdce..f4c5f986c8e03b346b61054f4f2dbbb4ecea0a39 100644
--- a/manifests/batches/oproofs/s00002-r00005712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005712-n000004",
   "batch_fingerprint": "84f06d90ee9610257a0808054b7b91fba280d6587d18da6c6d59a2fd5e0ed755",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005712-n000004-0000-519186b3a66c1135.parquet",
-      "sha256": "519186b3a66c1135b5cb1c680e041f7842eae4934bc6d9f23d05c447e8648ff0",
-      "bytes": 577574,
-      "rows": 24,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005713.lean\",\"ba33be83b108fb7b365a78e39d3251143ae6a7c0f107d533470446e7a086da9f\",0,\"Nat.choose_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005714.lean\",\"0aba6ab50d275e8dfe74e228ce62d8139e1da479aa10daee49ee9b9232156538\",0,\"arccos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005715.lean\",\"15bbdf7934419df311cb54b56d8b7f1ca641b9c607e9d7c6fe2a636d5329e233\",0,\"cot_70\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 577574,
+      "path": "data/train/p75/oproofs-s00002-r00005712-n000004-0000-519186b3a66c1135.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "519186b3a66c1135b5cb1c680e041f7842eae4934bc6d9f23d05c447e8648ff0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005716-n000004.json b/manifests/batches/oproofs/s00002-r00005716-n000004.json
index 521c9dddc3bd1398dede73b2997dcfd105786467..ee9508eff557e771e8be303fec6547f4472e74c6 100644
--- a/manifests/batches/oproofs/s00002-r00005716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005716-n000004",
   "batch_fingerprint": "4900698650509bf5ca514158cac52aadcda4b68e7692586c5a8cf7c9dacf9f18",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005716-n000004-0000-4f4e353b106277f4.parquet",
-      "sha256": "4f4e353b106277f40eafd9bf3ea68c2b490bb1c4eb77ca0aa88da8c609eea3ec",
-      "bytes": 506322,
-      "rows": 11,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005716-n000004-0000-725e5c8dfcd6b24a.parquet",
-      "sha256": "725e5c8dfcd6b24ae71e416b0d8df65fdcf9e828f32f3c23c09df53bc82fbbdc",
-      "bytes": 359573,
-      "rows": 17,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005717.lean\",\"9bba3a4d30c96ee6c65e508f807eccf86171733111486f78df04c77befa87233\",0,\"tan_cot_75\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005718.lean\",\"909fd43db133b7afb4b759d257dbf9b71486ee31a9c7f1b0b8599b951c6f7548\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005719.lean\",\"705c5d61b9f0808f960af3ff9cf9c5671993039659ce60b6c34e45e41289f593\",0,\"lean_workbook_plus_6306\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 506322,
+      "path": "data/train/p1c/oproofs-s00002-r00005716-n000004-0000-4f4e353b106277f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4f4e353b106277f40eafd9bf3ea68c2b490bb1c4eb77ca0aa88da8c609eea3ec"
+    },
+    {
+      "bytes": 359573,
+      "path": "data/internal_test/p1c/oproofs-s00002-r00005716-n000004-0000-725e5c8dfcd6b24a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "725e5c8dfcd6b24ae71e416b0d8df65fdcf9e828f32f3c23c09df53bc82fbbdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005720-n000004.json b/manifests/batches/oproofs/s00002-r00005720-n000004.json
index d55457238a0918e999bac615bbe4beac38409a7a..6636dd9002d55eed9eb113a74adf2b58a11263cf 100644
--- a/manifests/batches/oproofs/s00002-r00005720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005720-n000004",
   "batch_fingerprint": "09ec4160e34bd12f86c04937d3a9b737f787173847f0f96173e8a31a7d73c905",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005720-n000004-0000-8963d59cdd497f4c.parquet",
-      "sha256": "8963d59cdd497f4c5a13a5527a232619330ec8eb0a460a3bdb1f7d402fa290da",
-      "bytes": 450655,
-      "rows": 27,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005721.lean\",\"8b409b945c44536224583fe548c8f7b9c5ea295107cadd8460782269c9a906c3\",0,\"algebra_486095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005722.lean\",\"6996b7298e0ee25407b0a5bc17f15188a664dd434fbcbe4daa8cd16dee3d147d\",0,\"triangle_ine\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005723.lean\",\"5bf4c50bfcb6087bf6605bca016614c36ea828f4d28fd8b7184c6db87ab2d6d9\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 450655,
+      "path": "data/train/pff/oproofs-s00002-r00005720-n000004-0000-8963d59cdd497f4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8963d59cdd497f4c5a13a5527a232619330ec8eb0a460a3bdb1f7d402fa290da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005724-n000004.json b/manifests/batches/oproofs/s00002-r00005724-n000004.json
index 6680f03e4f743bb0adc850004ae423c474dccd3a..09f0b2d27792495eaf836cb14f5c245b11952714 100644
--- a/manifests/batches/oproofs/s00002-r00005724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005724-n000004",
   "batch_fingerprint": "7c03264102921f1744951e46c37dfaf07405533abc5e1b922dbf15cbc955292d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005724-n000004-0000-59d3f3aeb596583c.parquet",
-      "sha256": "59d3f3aeb596583c7f7febcbeca4bd154948280fa8609a0fd44541de0d8066c1",
-      "bytes": 274296,
-      "rows": 14,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005724-n000004-0000-05e1890576248e6b.parquet",
-      "sha256": "05e1890576248e6b183aebb0ae1a212fce85ff71a2c497ac82defb943446ca65",
-      "bytes": 67157,
-      "rows": 4,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005725.lean\",\"11a595fc7a27b7226564967a78ca1acd1d1e64b69a106a75926d794d50f83491\",0,\"prove_g\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005726.lean\",\"94007216430efc01248c141650357aa374ce8d160ae09eb508b1e2c78ad99624\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005727.lean\",\"c8eac4c620bbc22f373fadc739c1e3d961b1a36e2dc37a47835366ea7f8b6fc7\",0,\"proveU\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274296,
+      "path": "data/train/p30/oproofs-s00002-r00005724-n000004-0000-59d3f3aeb596583c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "59d3f3aeb596583c7f7febcbeca4bd154948280fa8609a0fd44541de0d8066c1"
+    },
+    {
+      "bytes": 67157,
+      "path": "data/internal_test/p30/oproofs-s00002-r00005724-n000004-0000-05e1890576248e6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "05e1890576248e6b183aebb0ae1a212fce85ff71a2c497ac82defb943446ca65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005728-n000004.json b/manifests/batches/oproofs/s00002-r00005728-n000004.json
index 70b7f3c1c9d884a4da2cc1deb6c8334557628ed7..843d29dc241d419223a8ae6aea18aeb19314a6de 100644
--- a/manifests/batches/oproofs/s00002-r00005728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005728-n000004",
   "batch_fingerprint": "30845a59c6ce23e6c6c3219302f37549ccae9bf8001fb18d69ed47b916449e78",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005728-n000004-0000-786fa629e2a48f0c.parquet",
-      "sha256": "786fa629e2a48f0c44eb4739d0f8bdfde703310fdd994668da048036ff4ade53",
-      "bytes": 326449,
-      "rows": 17,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005729.lean\",\"7a39e232c938afc50e5e8dc7aa214f5b7b1564eaaaa128b73801284ed652df92\",0,\"proveU\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005730.lean\",\"ef141292374f0491a89d8fb2141bd95cfba6cf99d154b2f3463aea2640682b7f\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005731.lean\",\"834741467cb23eec99fb5902202d25fc263facee91165dd21efefdee466afc44\",0,\"ContinuousF\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326449,
+      "path": "data/train/pab/oproofs-s00002-r00005728-n000004-0000-786fa629e2a48f0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "786fa629e2a48f0c44eb4739d0f8bdfde703310fdd994668da048036ff4ade53"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005732-n000004.json b/manifests/batches/oproofs/s00002-r00005732-n000004.json
index 7b489ef87f8f8c8422156656441ed2290890339b..152e38c562db256e40b1986eb949a40dcfa1947a 100644
--- a/manifests/batches/oproofs/s00002-r00005732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005732-n000004",
   "batch_fingerprint": "8f57565ac9b06b3948a066ee51ec21ff70162b96dbd37218ba380650793b845e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005732-n000004-0000-2a458a48d4d3af41.parquet",
-      "sha256": "2a458a48d4d3af413bf187588de0b71a995a9d3138bd2b24caa4b1aa2e885d21",
-      "bytes": 310395,
-      "rows": 22,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005732-n000004-0000-1d0e968274047a15.parquet",
-      "sha256": "1d0e968274047a156d453598ed603fd5372e4781a05385d1d17f1ffb6f6190c7",
-      "bytes": 151427,
-      "rows": 12,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5733",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005733.lean\",\"61e2119e13d899f995e5f423ac71be14c3034c336b20d8ececf4da749cd762ac\",0,\"algebra_395979\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005734.lean\",\"1d270cf56eb7e4865f31975598dcca16a61b5a353399d28667f5717c0ed9d1fd\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005735.lean\",\"2de72e3b21d996eaea7742103daa35f218aac231be0ff434aba66450bbc8e9d0\",0,\"Real.sin_a\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310395,
+      "path": "data/train/p64/oproofs-s00002-r00005732-n000004-0000-2a458a48d4d3af41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2a458a48d4d3af413bf187588de0b71a995a9d3138bd2b24caa4b1aa2e885d21"
+    },
+    {
+      "bytes": 151427,
+      "path": "data/internal_test/p64/oproofs-s00002-r00005732-n000004-0000-1d0e968274047a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1d0e968274047a156d453598ed603fd5372e4781a05385d1d17f1ffb6f6190c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005736-n000004.json b/manifests/batches/oproofs/s00002-r00005736-n000004.json
index ab89a15c1e4302e8fef1cef54096fa02767d92f5..230362db6a66590c0f60488470aaf7d0e39bdf07 100644
--- a/manifests/batches/oproofs/s00002-r00005736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005736-n000004",
   "batch_fingerprint": "c9cb4176c2fe0fa64cab116ef3b5505f9abcdfbc46da3e94e40be601b60c5f54",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005736-n000004-0000-7026d7d16c6884b6.parquet",
-      "sha256": "7026d7d16c6884b6fba8f7357379fc5515cf65346579557313edf79bc1987784",
-      "bytes": 910722,
-      "rows": 25,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005737.lean\",\"b6ef2fee20520e6709cbb5bd67800a4d56dab7bad771e3b23f32ea16edacdff9\",0,\"algebra463544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005738.lean\",\"66d1f7c0003605f94ba3bb83d8159d8a349a9e1ea8c19d384680ad83b98eb58e\",0,\"sum_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005739.lean\",\"6997a5fe9f5af623f7189e528313ac56e734367acceb8776152f844d04eea707\",0,\"sum_of_infinite_sequence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 910722,
+      "path": "data/train/p4f/oproofs-s00002-r00005736-n000004-0000-7026d7d16c6884b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7026d7d16c6884b6fba8f7357379fc5515cf65346579557313edf79bc1987784"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005740-n000004.json b/manifests/batches/oproofs/s00002-r00005740-n000004.json
index 056fbe6c099440be2c5ffc7008ec1a82ac33fdb9..337488f78bbf623a4f966520d1e6aeaeacb0b309 100644
--- a/manifests/batches/oproofs/s00002-r00005740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005740-n000004",
   "batch_fingerprint": "2d8010912de228f017350744e0043b9fd551824427b5cdc190de3a94a3931605",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005740-n000004-0000-cc21762edafca07b.parquet",
-      "sha256": "cc21762edafca07b46a42d1ec6ca23abe85a5a92cfc662dc271ca7127d456c5c",
-      "bytes": 540218,
-      "rows": 21,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005741.lean\",\"da8475b2fb77e1cecc098be61dd98fbfb5f6090f19a0db231f1eb19057bee6ec\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005742.lean\",\"1aff4272021fbfc1fd766a292bc7bf5a11b5c6d888888ddb438be706179d3243\",0,\"tan_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005743.lean\",\"684b8c6b1484eba7c77afb30af9bec930932115ec2de48d01cefaedde6533e20\",0,\"Prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 540218,
+      "path": "data/train/pb8/oproofs-s00002-r00005740-n000004-0000-cc21762edafca07b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "cc21762edafca07b46a42d1ec6ca23abe85a5a92cfc662dc271ca7127d456c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005744-n000004.json b/manifests/batches/oproofs/s00002-r00005744-n000004.json
index 150f4ad14b1f48ad4e1a853fae5b68b01207974c..a939792fa75dd764cfd990fa7fdee886149964ec 100644
--- a/manifests/batches/oproofs/s00002-r00005744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005744-n000004",
   "batch_fingerprint": "8b1f3c00ced19e601af813bad8e026d3b07d16dad8027b92272055a1eeb6f825",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005744-n000004-0000-989ec7e1747c6a01.parquet",
-      "sha256": "989ec7e1747c6a0102dc9af774888732a4f72068c361b8bdef317ad48dd5dd10",
-      "bytes": 816282,
-      "rows": 22,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00005744-n000004-0001-be19298e3a2a61d8.parquet",
-      "sha256": "be19298e3a2a61d8741708cbeb6dd3a3e2795cbe0fb9369d29dd69f95dc65e6e",
-      "bytes": 70224,
-      "rows": 5,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005745.lean\",\"04a4e5adab64ac9c5e898895bc3bdf7c204130faba834dcdd81ce991d3ba0423\",0,\"sumOfCubes\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005746.lean\",\"c87340218c59043c2f93b736b3c8292706704bb33779c4abe4bff324adf4c50e\",0,\"Real.sin_tan\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005747.lean\",\"0d023466f54056fbfd114de17d6924798a569c06f2149c8e5ca1366a619ed08a\",0,\"exp_lt_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 816282,
+      "path": "data/train/p95/oproofs-s00002-r00005744-n000004-0000-989ec7e1747c6a01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "989ec7e1747c6a0102dc9af774888732a4f72068c361b8bdef317ad48dd5dd10"
+    },
+    {
+      "bytes": 70224,
+      "path": "data/train/p95/oproofs-s00002-r00005744-n000004-0001-be19298e3a2a61d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "be19298e3a2a61d8741708cbeb6dd3a3e2795cbe0fb9369d29dd69f95dc65e6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005748-n000004.json b/manifests/batches/oproofs/s00002-r00005748-n000004.json
index ae01a1d050ff104e615c90a3c695001ae8cf2fd3..ebf2d742fc36f50f0dc0798c0a2bdf9be845b01f 100644
--- a/manifests/batches/oproofs/s00002-r00005748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005748-n000004",
   "batch_fingerprint": "cc1a2628ad09bb29aa1f1aed69d3c80ccf3c800a034c892acfb35f9629a10dc9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005748-n000004-0000-29634361b9bd8fd5.parquet",
-      "sha256": "29634361b9bd8fd513c311e37d11fd01715ed7b55d79e4d29957a672e39c87fd",
-      "bytes": 518763,
-      "rows": 11,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005748-n000004-0000-baea445a82cebe31.parquet",
-      "sha256": "baea445a82cebe31dc126fcc7d794acf58b8fd349da21bc064fe3892907137ea",
-      "bytes": 126238,
-      "rows": 5,
-      "revision": "e09bf1395fdef3b3cc7a5730e0eaaf20e2959e0f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005749.lean\",\"32082d0b300f8de52d7939825d22e72c67eba6c925450b236d10ea1ef2348961\",0,\"algebra_479396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005750.lean\",\"912daab78bf5980fc70c5b692009a9d0acc104e92f1ce37183ebc735e84ab913\",0,\"sqrt_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005751.lean\",\"2c56c639fe1a51659da7d3d580aca6205dd04e4a2817c359e9c3e2db912313d7\",0,\"algebraic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 518763,
+      "path": "data/train/p9f/oproofs-s00002-r00005748-n000004-0000-29634361b9bd8fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "29634361b9bd8fd513c311e37d11fd01715ed7b55d79e4d29957a672e39c87fd"
+    },
+    {
+      "bytes": 126238,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00005748-n000004-0000-baea445a82cebe31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "baea445a82cebe31dc126fcc7d794acf58b8fd349da21bc064fe3892907137ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005752-n000004.json b/manifests/batches/oproofs/s00002-r00005752-n000004.json
index 01bc1d4a082a81fa607acca21e6a8f0a572539b1..c4eb290b52b33b3bb86d734ea6d7cf5a0a38db28 100644
--- a/manifests/batches/oproofs/s00002-r00005752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005752-n000004",
   "batch_fingerprint": "b797bed8d31697f38528f5afcf3ebb8d056061359fdad2639e48fbee21cd895f",
   "evidence": {
@@ -60,15 +59,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005752-n000004-0000-990ee25bb2324c05.parquet",
-      "sha256": "990ee25bb2324c05b1e6c7130ad66fadfe90b91ee4401b60e6f3fa47a91edb3a",
-      "bytes": 929902,
-      "rows": 8,
-      "revision": "2e159904a175b7bb3eead09334fb9723d71a09d9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5753",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5754"
@@ -76,5 +67,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005753.lean\",\"be00535569d8883bed27cb771f4bfd3788cf015e0957bd98c05c48bce5fc7301\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005754.lean\",\"fa5f5321d04696eabf326222c9caf04dc75532ac2f4e2398cad158205e77e144\",0,\"algebra_467580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 929902,
+      "path": "data/train/p7e/oproofs-s00002-r00005752-n000004-0000-990ee25bb2324c05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "990ee25bb2324c05b1e6c7130ad66fadfe90b91ee4401b60e6f3fa47a91edb3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005756-n000004.json b/manifests/batches/oproofs/s00002-r00005756-n000004.json
index cec077a99a3267223f3ee6b3cbb42e63d5d96cd3..f091f96e123ebaca506862adc15fb0b9a80c1f9f 100644
--- a/manifests/batches/oproofs/s00002-r00005756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005756-n000004",
   "batch_fingerprint": "d4831d603d7b5c45376b0c91699183015e1f4283991aa7a4ee38860e408398b5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005756-n000004-0000-ccbaef19428dee72.parquet",
-      "sha256": "ccbaef19428dee7203bb9acdfdc17b7f0228ac1b4e06311486cdb2af2a0be0c0",
-      "bytes": 75951,
-      "rows": 11,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005756-n000004-0000-78c3543532010a0d.parquet",
-      "sha256": "78c3543532010a0d5420c212ad47bc5111e8d2c832cdf7eaf6be4ba035b7eeb6",
-      "bytes": 38183,
-      "rows": 3,
-      "revision": "f8cdf9223e783a548411f321ef1326c993dde8f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5757",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005757.lean\",\"2569fb75614dc2eccbeddf8cc424360f3bf1d421ce878f3b23aa7fb1b461e043\",0,\"domain_intersection_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005758.lean\",\"b615320171b0c64b78f6b0d1db220806eef6528a23776055d9b6494ecd1b20cc\",0,\"set_equality_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005759.lean\",\"a2af6145705fd7b45e244baab3a849da528e8e4b72ffe96ea380a3dc0d9c5fd1\",0,\"polynomial_power_exists\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75951,
+      "path": "data/train/pe1/oproofs-s00002-r00005756-n000004-0000-ccbaef19428dee72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ccbaef19428dee7203bb9acdfdc17b7f0228ac1b4e06311486cdb2af2a0be0c0"
+    },
+    {
+      "bytes": 38183,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00005756-n000004-0000-78c3543532010a0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "78c3543532010a0d5420c212ad47bc5111e8d2c832cdf7eaf6be4ba035b7eeb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005760-n000004.json b/manifests/batches/oproofs/s00002-r00005760-n000004.json
index 6bc405c17e63841518b11661b8f36bd8e9cee333..b16fae2cd8a10bd44460c7cb45886f1c4bfe29ec 100644
--- a/manifests/batches/oproofs/s00002-r00005760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005760-n000004",
   "batch_fingerprint": "ecaf10c3a61087ce831cbe047a21fec3f4711da81943ffed520c654f5a7f6fc0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005760-n000004-0000-d842c23e67281de3.parquet",
-      "sha256": "d842c23e67281de3036fbd9a0cd8da2a930a284849f57915b8f16435d8332bdb",
-      "bytes": 95743,
-      "rows": 12,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005760-n000004-0000-b39527aae94649dd.parquet",
-      "sha256": "b39527aae94649ddfe0afd884c2afd11b0c5542bb8a9bf39d755235489bd4589",
-      "bytes": 65991,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005761.lean\",\"0ad346f33cac58f317e3da2ad671e68be7a9e7b1a144eb11b60f0b100972bd21\",0,\"lean_workbook_15972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005762.lean\",\"547ccdb9f7bf336b3f616b6bca5832c0fae67d52d2f73aa9beab33b5d14a1184\",0,\"lean_workbook_plus_21611\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005763.lean\",\"9dbc0dac7c513f98b878cc651cb076c567d92d66db3298b6fa289f0563630978\",1,\"odd_cube_negation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95743,
+      "path": "data/train/p1d/oproofs-s00002-r00005760-n000004-0000-d842c23e67281de3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d842c23e67281de3036fbd9a0cd8da2a930a284849f57915b8f16435d8332bdb"
+    },
+    {
+      "bytes": 65991,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00005760-n000004-0000-b39527aae94649dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b39527aae94649ddfe0afd884c2afd11b0c5542bb8a9bf39d755235489bd4589"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005764-n000004.json b/manifests/batches/oproofs/s00002-r00005764-n000004.json
index 6bf9d1868641c90098e747e39fc6220ae0305943..095d51f8b6ea99ab7cd7f5b8e645577430f663b5 100644
--- a/manifests/batches/oproofs/s00002-r00005764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005764-n000004",
   "batch_fingerprint": "57b3c9360ae08c95585e17ddfdc146a7bfaaff82f3b12f9b19ed99c89e21d470",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005764-n000004-0000-88991dd96b000fa3.parquet",
-      "sha256": "88991dd96b000fa361dec0b1f7cad6768ee32aa05b3fc5746076a0323e8e821f",
-      "bytes": 127815,
-      "rows": 8,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005764-n000004-0000-da569c5e845a82df.parquet",
-      "sha256": "da569c5e845a82df68bea24fd31cf9da48c8781f32b5c7deec21d33af361a75b",
-      "bytes": 52188,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005765.lean\",\"75e0004847f14996dad6db2416db974d5e47b24fe2fb5ef0ed4f55856b1170b8\",0,\"lean_workbook_plus_17744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005766.lean\",\"e518672f823f8ef591296ce0b38dac1b2a6933548126a61bae6546ee6ab5eef3\",0,\"lean_workbook_plus_7719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005767.lean\",\"f38ce429ba75201435138bf018a3c02a859d7be3f7dfcc9b3717e87a74537236\",0,\"lean_workbook_plus_51038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127815,
+      "path": "data/train/pfc/oproofs-s00002-r00005764-n000004-0000-88991dd96b000fa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "88991dd96b000fa361dec0b1f7cad6768ee32aa05b3fc5746076a0323e8e821f"
+    },
+    {
+      "bytes": 52188,
+      "path": "data/internal_test/pfc/oproofs-s00002-r00005764-n000004-0000-da569c5e845a82df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "da569c5e845a82df68bea24fd31cf9da48c8781f32b5c7deec21d33af361a75b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005768-n000004.json b/manifests/batches/oproofs/s00002-r00005768-n000004.json
index 0d3b39752f5558f6ae4f688263944ad435c1be34..72615bb8435493d9034dabd9dd4c9fb5e6bb6a77 100644
--- a/manifests/batches/oproofs/s00002-r00005768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005768-n000004",
   "batch_fingerprint": "e0905f2c2fe6fe1db84a35e775fa39e453260ce3fea206a7b2b5a89a1be9d761",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005768-n000004-0000-3aa27212da593f88.parquet",
-      "sha256": "3aa27212da593f8834905570f7430692905de17364b961979a5af00ceb219ab4",
-      "bytes": 127597,
-      "rows": 7,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005768-n000004-0000-9e210ac5a6c2a386.parquet",
-      "sha256": "9e210ac5a6c2a386d553d487230dcc583101e6e4c54973381a5d68ffe4906f6a",
-      "bytes": 45743,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5769",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005769.lean\",\"1841914e49451be77c0c77bb8f09098728b6090cdf1147d5f7372a70c5d9de1b\",0,\"lean_workbook_plus_79036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005770.lean\",\"a16fc777d980d7006510d91dff2a3cba34476cc5f48f5cdb9ff0076a4ff14e1c\",0,\"lean_workbook_plus_59825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005771.lean\",\"474d7236d5bf83cf4371faab959e874bf5cd707b88ef2ad1bed5de71c0217c5e\",0,\"lean_workbook_26471\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127597,
+      "path": "data/train/pae/oproofs-s00002-r00005768-n000004-0000-3aa27212da593f88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3aa27212da593f8834905570f7430692905de17364b961979a5af00ceb219ab4"
+    },
+    {
+      "bytes": 45743,
+      "path": "data/internal_test/pae/oproofs-s00002-r00005768-n000004-0000-9e210ac5a6c2a386.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9e210ac5a6c2a386d553d487230dcc583101e6e4c54973381a5d68ffe4906f6a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005772-n000004.json b/manifests/batches/oproofs/s00002-r00005772-n000004.json
index 7bb3d5d7a8d42791634ddcb33e56aeccc08950d0..e6b6f18079cc69465b962726db128353b829a6ce 100644
--- a/manifests/batches/oproofs/s00002-r00005772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005772-n000004",
   "batch_fingerprint": "9b347a15d61ab6f97008323399569c04e6ef6eeb90ce9a41230b0dcc9c1173fc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005772-n000004-0000-c371b7a314502e3d.parquet",
-      "sha256": "c371b7a314502e3da913bf599de7360feea914a90add8182d5695b82dc11fe4b",
-      "bytes": 274589,
-      "rows": 22,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005773.lean\",\"8bcac2d8d383a98c87784355cc0ac3c1484afcac29ec6420580e71d63ca8438f\",0,\"max_constant_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005774.lean\",\"14ee5406c2334c8e80c0e1faf587d278d36fbac37bf73745bac83f084fec40c9\",0,\"lean_workbook_plus_28427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005775.lean\",\"c65923c695622649caf307e516678a8b07f51b1c5f2670bbcfbe8eeacbf7b767\",0,\"lean_workbook_plus_1200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274589,
+      "path": "data/train/pb0/oproofs-s00002-r00005772-n000004-0000-c371b7a314502e3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c371b7a314502e3da913bf599de7360feea914a90add8182d5695b82dc11fe4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005776-n000004.json b/manifests/batches/oproofs/s00002-r00005776-n000004.json
index 939164b958907179d4cfc2961f0890267ec9ea29..8281df68f3a8bcb1d6c91874cc45210892532b2e 100644
--- a/manifests/batches/oproofs/s00002-r00005776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005776-n000004",
   "batch_fingerprint": "0192eec638374f0d0c3fc55655c457e091a0c3fb64e310fb5008b0eff158faa7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005776-n000004-0000-2883581ee2fd5d7c.parquet",
-      "sha256": "2883581ee2fd5d7c9bb6d29cdba0b67bc102e3d700b30ff3f1f6314ff6d9630a",
-      "bytes": 293666,
-      "rows": 12,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005776-n000004-0000-3453f1bfcc425cd6.parquet",
-      "sha256": "3453f1bfcc425cd6a2a1ca0665ec45f2aeb5f26ce5575997b808049b6cb7d6a4",
-      "bytes": 96458,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005777.lean\",\"323b60dad1c873c16f0bafff1331de4c587a6fec57aadb9b922195f0c83870fe\",0,\"lean_workbook_plus_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005778.lean\",\"3780f09c7e3c6dde5b7a40f6a00d6b1b1c356934324ca36c073b459285ae7b0b\",0,\"lean_workbook_plus_10196\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005779.lean\",\"a6c9f3a55d464a30f79e56b4b04b038c01739f804beedd7005a02ca3dcb6c256\",0,\"lean_workbook_plus_71132\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293666,
+      "path": "data/train/p18/oproofs-s00002-r00005776-n000004-0000-2883581ee2fd5d7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2883581ee2fd5d7c9bb6d29cdba0b67bc102e3d700b30ff3f1f6314ff6d9630a"
+    },
+    {
+      "bytes": 96458,
+      "path": "data/internal_test/p18/oproofs-s00002-r00005776-n000004-0000-3453f1bfcc425cd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3453f1bfcc425cd6a2a1ca0665ec45f2aeb5f26ce5575997b808049b6cb7d6a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005780-n000004.json b/manifests/batches/oproofs/s00002-r00005780-n000004.json
index 835fb798cb9b8deb4aa3e9c083eecdf9f4f1e760..751aa313fcc3b8739bdc4c536e17be567de8b345 100644
--- a/manifests/batches/oproofs/s00002-r00005780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005780-n000004",
   "batch_fingerprint": "776aa254c18f06bd05fe327082b9972b3398d572b3e484061f10a791e247c399",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005780-n000004-0000-b4ede2576f42645f.parquet",
-      "sha256": "b4ede2576f42645fb89d0c9955ab23a8532229f6285f558d90d7a9a8be492a60",
-      "bytes": 461535,
-      "rows": 28,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005781.lean\",\"1add42cf5c3ca95a4d2a7489bf005e60f2d5838b4e91269adc46d4c5a0b2a5fb\",0,\"lean_workbook_plus_35849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005782.lean\",\"8765432332472e6d0f880e651ed7a7761ca82766d7b1ed0f082238ba0d5301ef\",0,\"ellipse_intersection_slope\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005783.lean\",\"21c1d42015f4079d097afc2b15994caebb4db85faed4014317663618cbaeeea7\",0,\"lean_workbook_plus_66903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461535,
+      "path": "data/train/pce/oproofs-s00002-r00005780-n000004-0000-b4ede2576f42645f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b4ede2576f42645fb89d0c9955ab23a8532229f6285f558d90d7a9a8be492a60"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005784-n000004.json b/manifests/batches/oproofs/s00002-r00005784-n000004.json
index 00b2be6542d88702ab25c244a65f2ff6c5fd37f7..f9f4a6c061df59ffdee8cd526f1c0060dfa95566 100644
--- a/manifests/batches/oproofs/s00002-r00005784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005784-n000004",
   "batch_fingerprint": "44a05e583d6e500b1e367b14544bb6103044cd87479572490af2a3b86993f2d1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005784-n000004-0000-766938edd18c8e4e.parquet",
-      "sha256": "766938edd18c8e4e708dbbf598063141847a905b2d455f8686c6381c74f304f5",
-      "bytes": 283353,
-      "rows": 18,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005785.lean\",\"eb47179b8e040fe7f99fe395b38d2e342ffee2638abc9c6eacdaa95a995a235f\",0,\"SetI\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005786.lean\",\"08611d2505dd60da88948ad145e4bf3816d21f44c62ab00c34c11ac50de34b98\",0,\"Nat.choose_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005787.lean\",\"d5e3cde1ddeac1c4404e34612a241382159121106f33fa5e93bc6c28d44ba5ad\",0,\"arccos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283353,
+      "path": "data/train/pdf/oproofs-s00002-r00005784-n000004-0000-766938edd18c8e4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "766938edd18c8e4e708dbbf598063141847a905b2d455f8686c6381c74f304f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005788-n000004.json b/manifests/batches/oproofs/s00002-r00005788-n000004.json
index 8222a0868ea5bc1f61bb332032c5e4f5f8b830fc..dd51183bc08fc9b92c27aa0b4cefb63201641377 100644
--- a/manifests/batches/oproofs/s00002-r00005788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005788-n000004",
   "batch_fingerprint": "dbdf1d0337e93a671d68819f842fa3e16fb960f2a335de998f1eeadde8681ef5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005788-n000004-0000-e8db69f3b86340b5.parquet",
-      "sha256": "e8db69f3b86340b53be5540777ad64b8a5a45cdde99552e8a77cb2ed9b710991",
-      "bytes": 621833,
-      "rows": 24,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005789.lean\",\"1f88ace226cdad3fd82a4ea04e934d1d5b148cea431b80d5e8267234ed891970\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005790.lean\",\"0f9b0541e739a5a02fc07b65e11f5c81e212d33a8223656b18664210b9df825c\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005791.lean\",\"231cd6ed5befb35f92ebae4cbccc308626b683a75f4f6aac03884dbf19ef5105\",0,\"Matrix.det_A_and_B\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 621833,
+      "path": "data/train/p90/oproofs-s00002-r00005788-n000004-0000-e8db69f3b86340b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "e8db69f3b86340b53be5540777ad64b8a5a45cdde99552e8a77cb2ed9b710991"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005792-n000004.json b/manifests/batches/oproofs/s00002-r00005792-n000004.json
index 910e3d4690647d9d79df824e6d98f61edfc0ef50..0137a6b905f24bdef39a4be07afea208ca92d79e 100644
--- a/manifests/batches/oproofs/s00002-r00005792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005792-n000004",
   "batch_fingerprint": "1d4dc2af709a05d98ac4dc7aa0b29c2c4efa85018ffdabb964c47e6953af106c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005792-n000004-0000-c42fa05f683f69f2.parquet",
-      "sha256": "c42fa05f683f69f2be92bcbb033743afeac7b1cc252812e2988e48ad04413d26",
-      "bytes": 674074,
-      "rows": 23,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005792-n000004-0000-fa03332bd8d1a8c8.parquet",
-      "sha256": "fa03332bd8d1a8c8b7b13869f4d9f12c78f28caddc36376c8a942f29b5c40d03",
-      "bytes": 429729,
-      "rows": 9,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5793",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005793.lean\",\"262892e841c62d1978b05bc5f860e8e27b8046e1c239840f788a78e7742e03c8\",0,\"triangle_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005794.lean\",\"0379395ad7352b9cfa697dd97ab3e8970ea2dcc53c1235d6f58a7501e8b41f30\",0,\"triangle_ine\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005795.lean\",\"bc9e1076d574f42a16268cc18dfe1d582782c16f69d46f8b8539bf7d33d8047d\",0,\"TopologyFilterRealComplexTopologicalSpaceFinset\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 674074,
+      "path": "data/train/pae/oproofs-s00002-r00005792-n000004-0000-c42fa05f683f69f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c42fa05f683f69f2be92bcbb033743afeac7b1cc252812e2988e48ad04413d26"
+    },
+    {
+      "bytes": 429729,
+      "path": "data/internal_test/pae/oproofs-s00002-r00005792-n000004-0000-fa03332bd8d1a8c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fa03332bd8d1a8c8b7b13869f4d9f12c78f28caddc36376c8a942f29b5c40d03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005796-n000004.json b/manifests/batches/oproofs/s00002-r00005796-n000004.json
index c0b657e568d0bae0109ea6fb8f37645573daf68b..09e1b2fef72006eb2e0ec2f0e52da8da1dd469f7 100644
--- a/manifests/batches/oproofs/s00002-r00005796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005796-n000004",
   "batch_fingerprint": "e2563970174c6ceaade9e8bf569868e3f0ad9c126822a0986188797beb945fed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005796-n000004-0000-0de0eb5cf6275249.parquet",
-      "sha256": "0de0eb5cf6275249ee8b7bc3de1eb5c4f639aa1cfcb9a8dbb270229312061ffc",
-      "bytes": 600645,
-      "rows": 14,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005796-n000004-0000-7ef7212a9a537a35.parquet",
-      "sha256": "7ef7212a9a537a359f2980b0fc96cf2c329a18ebf0e38cff5c608ddd12696938",
-      "bytes": 184276,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005797.lean\",\"e61a894e15a1b604cad72c4d966e810e2ee87bb990aa39e235681a6e05423652\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005798.lean\",\"9b8df22ef0ca8163aaa0d1d3e137f211fda88a8c953cb2d1a13e08266c814384\",0,\"Topology.filter.min_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005799.lean\",\"9726b62ffb9e78d1fd4b93de01a3ba8e49a2d4cedb32f9a391010afb56b2ae84\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 600645,
+      "path": "data/train/pc9/oproofs-s00002-r00005796-n000004-0000-0de0eb5cf6275249.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0de0eb5cf6275249ee8b7bc3de1eb5c4f639aa1cfcb9a8dbb270229312061ffc"
+    },
+    {
+      "bytes": 184276,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00005796-n000004-0000-7ef7212a9a537a35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7ef7212a9a537a359f2980b0fc96cf2c329a18ebf0e38cff5c608ddd12696938"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005800-n000004.json b/manifests/batches/oproofs/s00002-r00005800-n000004.json
index 710484e028803a6ec63ae7f869fbb8b1264fbab0..a05c8bef428c2062aef1e7b08490c59d86cb9311 100644
--- a/manifests/batches/oproofs/s00002-r00005800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005800-n000004",
   "batch_fingerprint": "113e5ef000ad60d0c06a50e7683b84fca1404231931317825f03e80ede77f3b0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005800-n000004-0000-14eb0b5310f4bee3.parquet",
-      "sha256": "14eb0b5310f4bee3f54e86a8ed6e301eb956e13efa81029ff5f98305d85a8650",
-      "bytes": 212534,
-      "rows": 22,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005800-n000004-0000-5083367a41e72621.parquet",
-      "sha256": "5083367a41e72621c10d9d1eb7352800c2349356b182207cfd4237b70a092c93",
-      "bytes": 104884,
-      "rows": 4,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005801.lean\",\"85891e90e389b4f167e730912b025a63ba070db4429635db53f065529bf68e3f\",0,\"algebra_456728\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005802.lean\",\"9bc00dc9cb6f797d9d2864e612033219b02ecedf6ee1a719f2d22a0231b22886\",0,\"algebra_395979\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005803.lean\",\"1da9156e823fb68d0855ec1ce397afa657c66a06c1d72804299d96d91c9e201b\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212534,
+      "path": "data/train/p5f/oproofs-s00002-r00005800-n000004-0000-14eb0b5310f4bee3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "14eb0b5310f4bee3f54e86a8ed6e301eb956e13efa81029ff5f98305d85a8650"
+    },
+    {
+      "bytes": 104884,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00005800-n000004-0000-5083367a41e72621.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5083367a41e72621c10d9d1eb7352800c2349356b182207cfd4237b70a092c93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005804-n000004.json b/manifests/batches/oproofs/s00002-r00005804-n000004.json
index a42266081daa99eed3193bfc232bf302dc0a11c3..d7782cf6bf6627fc6070f2f59d7f1ddf64845765 100644
--- a/manifests/batches/oproofs/s00002-r00005804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005804-n000004",
   "batch_fingerprint": "3818be0e773d2495da76cc834bef4054131d6d51719a5b65ef8bd983206227dc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005804-n000004-0000-50172022839c8c78.parquet",
-      "sha256": "50172022839c8c78482ea2e1c3341bd3e830fd2fd315e9d78e9dd65e4429a19f",
-      "bytes": 445204,
-      "rows": 14,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005804-n000004-0000-ead6c0eb38c5bbe8.parquet",
-      "sha256": "ead6c0eb38c5bbe8909106ed3fd103a4298a5dee59425f6ea4724b68480970bf",
-      "bytes": 182267,
-      "rows": 8,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5805",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005805.lean\",\"b4524b9ca14e89b2b5fe2ce858dc251c5bad35e7d923b32694c5435dd92557cd\",0,\"number_theory\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005806.lean\",\"0dfee0f21cb18b87bb13abe5909b4c6d7d5477caa8b2d0eb865c89028db5be2b\",0,\"SumOfReciprocalSqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005807.lean\",\"d2bebf6f27b8286185d2040234eaf6b902283a1a50a5815da20941ab96af699f\",0,\"algebra463544\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 445204,
+      "path": "data/train/pbb/oproofs-s00002-r00005804-n000004-0000-50172022839c8c78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "50172022839c8c78482ea2e1c3341bd3e830fd2fd315e9d78e9dd65e4429a19f"
+    },
+    {
+      "bytes": 182267,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00005804-n000004-0000-ead6c0eb38c5bbe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ead6c0eb38c5bbe8909106ed3fd103a4298a5dee59425f6ea4724b68480970bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005808-n000004.json b/manifests/batches/oproofs/s00002-r00005808-n000004.json
index baaa525ec5e696a5ff119496960fadc5f1cc29b4..d6cb20a533c0fd02fece91c3fd0e79555ec73b7c 100644
--- a/manifests/batches/oproofs/s00002-r00005808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005808-n000004",
   "batch_fingerprint": "1094a50d0893c0962614a73019c9dee2f248b030967f94140089530715f5bddf",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005808-n000004-0000-981fad91053190fd.parquet",
-      "sha256": "981fad91053190fdf1b98c58e6fdbbca4f4aaf4abc7a8fc395c9615da39c5a57",
-      "bytes": 348375,
-      "rows": 14,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5809",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5810",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005809.lean\",\"062667967aa0fad3411330a2c80e339fe673eeee69917f3fe6ba18b5312765ac\",0,\"functional_eq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005810.lean\",\"a14a111ec97b4a93c3fec003216a1d4d7d1cb6c8b9db607dd1056a19e4c331d6\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005811.lean\",\"a9aff6b420c3958643566372e456839a42210962496ec36b64b91a849b8c6127\",0,\"tan_x\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348375,
+      "path": "data/train/pc3/oproofs-s00002-r00005808-n000004-0000-981fad91053190fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "981fad91053190fdf1b98c58e6fdbbca4f4aaf4abc7a8fc395c9615da39c5a57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005812-n000004.json b/manifests/batches/oproofs/s00002-r00005812-n000004.json
index 155e0525a6e75eb3375da5bcef93103ccf071aa3..9333eb8ff3e95f6d74035c0ee955f6fc60af9f6d 100644
--- a/manifests/batches/oproofs/s00002-r00005812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005812-n000004",
   "batch_fingerprint": "b294df910e3daf1e302e5ae3d339c94a721aea2b11cc8424f8a09a50bcf0414d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005812-n000004-0000-5308e6b7e26d52bb.parquet",
-      "sha256": "5308e6b7e26d52bbe6c66555599a31a6887346acc0a010f0c568661d2af24969",
-      "bytes": 492293,
-      "rows": 23,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005813.lean\",\"c3bebdc595adbbd758c83d4645fc20e0400cad5be115285bf434a82fa8621b75\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005814.lean\",\"421b6bc686f66aab1b352eff222e77b1f7eabd3a2ddb3646662dbde98006a237\",0,\"Real.sin_tan\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005815.lean\",\"4cba8bf0b6e9a262400e1b046bfb3fbdab2e21073bfb2d46253a0e2bada0bb6e\",0,\"exp_lt_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492293,
+      "path": "data/train/pf4/oproofs-s00002-r00005812-n000004-0000-5308e6b7e26d52bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5308e6b7e26d52bbe6c66555599a31a6887346acc0a010f0c568661d2af24969"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005816-n000004.json b/manifests/batches/oproofs/s00002-r00005816-n000004.json
index 2e15c1940aede78a17e58cdda5899a78357d2874..f3886fab4d726e0b5335b0a45714f6b0e1ff7011 100644
--- a/manifests/batches/oproofs/s00002-r00005816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005816-n000004",
   "batch_fingerprint": "d7bd0cab2781ceb163796e0169fc49e6582f98771aac768b493fb837b6c1aa94",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005816-n000004-0000-725b8f3ad9cbe38e.parquet",
-      "sha256": "725b8f3ad9cbe38e6372eab7129b6052becc6dcaea6e065b564dbd9ca555a9de",
-      "bytes": 686100,
-      "rows": 21,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005817.lean\",\"37f8597f3c68b8bad0c24168643ad6c0d6f4d9fcb6bace0efad3941fc3b09813\",0,\"algebra_479396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005818.lean\",\"ef0808e32a94e407d738e09dea157362227825188bc318d5ab98b7725cfed62b\",0,\"algebra_567891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005819.lean\",\"36ef4002f57dcc10ee9167ce126f25657a3b9d89f46fe2fc69d898a628807cb1\",0,\"algebra_480697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686100,
+      "path": "data/train/p8d/oproofs-s00002-r00005816-n000004-0000-725b8f3ad9cbe38e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "725b8f3ad9cbe38e6372eab7129b6052becc6dcaea6e065b564dbd9ca555a9de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005820-n000004.json b/manifests/batches/oproofs/s00002-r00005820-n000004.json
index c5d1153eec8e9a0588fa05d9df6330350c298a51..bd298fee314c8b938c92e593a55b1be5e4e9c9b0 100644
--- a/manifests/batches/oproofs/s00002-r00005820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005820-n000004",
   "batch_fingerprint": "346b6563a37f41df34ceacea30db0dd87503ed0804fc048bd0467e7935f9e32a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005820-n000004-0000-37381cc7d0175985.parquet",
-      "sha256": "37381cc7d01759854ec28a16b2a96a4c6be7f07146782e76204227f0657bf16f",
-      "bytes": 271058,
-      "rows": 14,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005821.lean\",\"c6e1b9b205a6aeba8523d8c8889afe1b70752d8b2ae2035403f0a8a556a56282\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005822.lean\",\"bdcb986a6df95d208100f2af91ad3fb0bb345441dc8571e82afe3f5c7d1cf26d\",0,\"exp_diffeq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005823.lean\",\"ef4deff6c9786f6deb9166f36168eef40ef4ba0290027ee092e213d6318d7b5d\",0,\"lim_a\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271058,
+      "path": "data/train/pc2/oproofs-s00002-r00005820-n000004-0000-37381cc7d0175985.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "37381cc7d01759854ec28a16b2a96a4c6be7f07146782e76204227f0657bf16f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005824-n000004.json b/manifests/batches/oproofs/s00002-r00005824-n000004.json
index d7c474b2b12cfa1a7b9afe09893af8c1e68455d3..e394c8399d55d2a4b86b62ef2a25a7c5c1bc878f 100644
--- a/manifests/batches/oproofs/s00002-r00005824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005824-n000004",
   "batch_fingerprint": "52f44e0d5da8d830ad2c9b62e26a3cd5636080f6c720198e2785a529d1ee1ac8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005824-n000004-0000-9f306cb5492dd88c.parquet",
-      "sha256": "9f306cb5492dd88c735d2a6f6107f03fd8c5916798a9de512a5c41a1296adc03",
-      "bytes": 344386,
-      "rows": 13,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005824-n000004-0000-9b5776201967e753.parquet",
-      "sha256": "9b5776201967e75372e9057a973733394b4dd00e565ead41c8dc74269b939264",
-      "bytes": 110565,
-      "rows": 9,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005825.lean\",\"9557c8e44400545c4a40a8d7e635f0dad8da32be5a11bdf4893e1b1d319c0849\",0,\"is_symmetric\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005826.lean\",\"5f240c209c6acbe990e0f3e431c319f9d6191248a8e94ad61d29ac4b0caa0ff9\",0,\"h\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005827.lean\",\"35ade36d200c76941161362bb5a51c9477c7e7aa97be48904c2f729dd8f0e10c\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344386,
+      "path": "data/train/p56/oproofs-s00002-r00005824-n000004-0000-9f306cb5492dd88c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9f306cb5492dd88c735d2a6f6107f03fd8c5916798a9de512a5c41a1296adc03"
+    },
+    {
+      "bytes": 110565,
+      "path": "data/dev/p56/oproofs-s00002-r00005824-n000004-0000-9b5776201967e753.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9b5776201967e75372e9057a973733394b4dd00e565ead41c8dc74269b939264"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005828-n000004.json b/manifests/batches/oproofs/s00002-r00005828-n000004.json
index 89d02f5376e6e94d75e897c0b6ee41ef4512b534..40b8f89b9e1ab23d8e88cdf6ca25377bc3ec2e6b 100644
--- a/manifests/batches/oproofs/s00002-r00005828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005828-n000004",
   "batch_fingerprint": "afb06dfd692ded6f24bca1ce0736595ef7f18e36883130d407440fdc6848bf1e",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000005/oproofs-s00002-r00005828-n000004-0000-0ada147b357a0d67.parquet",
-      "sha256": "0ada147b357a0d6702cde66a819e02de2e743da4fbe6fc6b1feb4ddcdb55f30b",
-      "bytes": 64134,
-      "rows": 7,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000005/oproofs-s00002-r00005828-n000004-0000-2c2c88ec5fd7b319.parquet",
-      "sha256": "2c2c88ec5fd7b3191a219790c6583b010db7babd4f27d49ae080a5ec29023397",
-      "bytes": 32014,
-      "rows": 3,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5829",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5830",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005829.lean\",\"243c8a34f7cbbd8014d3dc6452cb0fbcaef87a7297fce1fd3103d13c821d789d\",0,\"proj\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005830.lean\",\"8fc5a34d69ff0d70496d387d2327670f23c0d9ec43d797b04dfe5a920109eec9\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005831.lean\",\"7c54811b01a547036627646e10caf97ac1821cb280496a796e9286483e0aaf1a\",0,\"lim_r\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64134,
+      "path": "data/train/p54/oproofs-s00002-r00005828-n000004-0000-0ada147b357a0d67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0ada147b357a0d6702cde66a819e02de2e743da4fbe6fc6b1feb4ddcdb55f30b"
+    },
+    {
+      "bytes": 32014,
+      "path": "data/dev/p54/oproofs-s00002-r00005828-n000004-0000-2c2c88ec5fd7b319.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2c2c88ec5fd7b3191a219790c6583b010db7babd4f27d49ae080a5ec29023397"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005832-n000004.json b/manifests/batches/oproofs/s00002-r00005832-n000004.json
index 4d284ffbd95df260581480c20c6200aa5424079f..156daf12951d34ce894f2b0006bc43fad734c919 100644
--- a/manifests/batches/oproofs/s00002-r00005832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005832-n000004",
   "batch_fingerprint": "dc0197d557b383bd7363dc3c063c287b346ed3c58b3a98ad9427d4295423a812",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000005/oproofs-s00002-r00005832-n000004-0000-1f2beb9b799fefff.parquet",
-      "sha256": "1f2beb9b799fefffacd92844ceb2250d246c691a7df02e3d9b788372317e28e5",
-      "bytes": 127363,
-      "rows": 19,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5833",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005832.lean\",\"8e54f2c21cbf7133df41a29c1809f69ef6f3c0ec27027eff664b19028497f577\",0,\"Ideal.IsAlgebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005833.lean\",\"cb6b22e21aaa6ccc777a673455ba18818372a41a626175e2dad10b46403aee24\",0,\"exp\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005835.lean\",\"468a0ff0a56417659c5b90f7d3b290eefaf828e5c37b769f0c838806e4d65c96\",0,\"sin\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127363,
+      "path": "data/train/p8c/oproofs-s00002-r00005832-n000004-0000-1f2beb9b799fefff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1f2beb9b799fefffacd92844ceb2250d246c691a7df02e3d9b788372317e28e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005836-n000004.json b/manifests/batches/oproofs/s00002-r00005836-n000004.json
index 1a75c7c1eb49694b8de7893d773af7c742b8df3c..a1125192ce8a57e65dbb98cfbfd166f02a92dcce 100644
--- a/manifests/batches/oproofs/s00002-r00005836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005836-n000004",
   "batch_fingerprint": "f48ef6d9f7695aa48ce506eee3faf9a883ec8a6059b12020b27ec0374bae6399",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005836-n000004-0000-02645d7529841c95.parquet",
-      "sha256": "02645d7529841c955bcb28eb996af8b46b77fc66bf9813df6f6d362baf9c54ec",
-      "bytes": 548108,
-      "rows": 10,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005836-n000004-0000-ef6fe3077a6e2d0e.parquet",
-      "sha256": "ef6fe3077a6e2d0e02a73b49fa9a1013b0a81cd4531416bf428a0eb4e1859df9",
-      "bytes": 34453,
-      "rows": 3,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005837.lean\",\"7383b1e3a96dc12a2dce86f2b5996a2578342b046a49f065955173a7cf991908\",0,\"lim_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005838.lean\",\"4b756d79ea4b77372d40b856ad5fbb4fda66233e2d5ba1ac165510cd030c5586\",0,\"gcd'\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005839.lean\",\"eb837c5eeefa09fad89a65557dc6ca26c857a574b5a61c6b4f87e3428e311891\",0,\"lim_r\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 548108,
+      "path": "data/train/pe2/oproofs-s00002-r00005836-n000004-0000-02645d7529841c95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "02645d7529841c955bcb28eb996af8b46b77fc66bf9813df6f6d362baf9c54ec"
+    },
+    {
+      "bytes": 34453,
+      "path": "data/dev/pe2/oproofs-s00002-r00005836-n000004-0000-ef6fe3077a6e2d0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ef6fe3077a6e2d0e02a73b49fa9a1013b0a81cd4531416bf428a0eb4e1859df9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005840-n000004.json b/manifests/batches/oproofs/s00002-r00005840-n000004.json
index f8bb7dc02341ea47adebfadb9d304d7216937cf3..25d9ea4309bcd13d77f0ebfbd1355d5ec6db970e 100644
--- a/manifests/batches/oproofs/s00002-r00005840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005840-n000004",
   "batch_fingerprint": "49f7e531251c8790f05609aa35514cfa6accf3d1f56e42ce441a40f140f1cfbb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005840-n000004-0000-6444e42642ea0964.parquet",
-      "sha256": "6444e42642ea09649cc4cce982643b7e3c6b9b9ca2b41396c2fa1a56e8195db2",
-      "bytes": 310713,
-      "rows": 15,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005841.lean\",\"e7df1b06708594af2776af14228c5b44db5e1f56aa81aa2a221cb826bf58eee0\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005842.lean\",\"ec8e44241863d730f8a69e11a3b1a04f697e8e3efb5307a2e85d242494e32e6d\",0,\"sum_of_quadratic_residue\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005843.lean\",\"ef0526ebd49509095813e524e93cc63d8abb9ff8be24fe7f56a75e46e352835d\",0,\"comp1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 310713,
+      "path": "data/train/p8c/oproofs-s00002-r00005840-n000004-0000-6444e42642ea0964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6444e42642ea09649cc4cce982643b7e3c6b9b9ca2b41396c2fa1a56e8195db2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005844-n000004.json b/manifests/batches/oproofs/s00002-r00005844-n000004.json
index 0ab4a4d4bbc9817736da17725246ed3e5321c7e5..4b3d9ea22259e2fe13a775f19d7c36c0925f8026 100644
--- a/manifests/batches/oproofs/s00002-r00005844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005844-n000004",
   "batch_fingerprint": "ea4d265fb850d7e4eeb96fb8a4a3bea92ad173c00e6a840e9f7b7cb0789addf3",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5844",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5845",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5846",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5847"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005844.lean\",\"497ce7b81197e2a8a79c8a882bdd9217d857c4540e6be7e59d564f6a0ef6cf13\",0,\"lim_a\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005845.lean\",\"e4175ee69ee90eb5a198357b37319e471a454a87214373eab587a3be3f7b0440\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005846.lean\",\"7b5b7e14ed18174251b7873c8e95ed569be190ad85bbeb74d3a839b0d394dd32\",0,\"sin\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005847.lean\",\"f43770af40020ad2a9b26a9bd7995bb4b7fd7d3da2c8028131d57cf77325a58c\",0,\"sumOfRatios\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005844-n000004-0000-0653d0c595cefa77.parquet",
-      "sha256": "0653d0c595cefa771f867ffa0e86cb96e3081ec8dad0e08364244850aa5d8a76",
       "bytes": 66849,
+      "path": "data/train/pfa/oproofs-s00002-r00005844-n000004-0000-0653d0c595cefa77.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "0653d0c595cefa771f867ffa0e86cb96e3081ec8dad0e08364244850aa5d8a76"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005844-n000004-0000-a7b297c61ae680bf.parquet",
-      "sha256": "a7b297c61ae680bf01e81104095dbd1440d009766a427ee697167491dc735003",
       "bytes": 105512,
+      "path": "data/dev/pfa/oproofs-s00002-r00005844-n000004-0000-a7b297c61ae680bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "a7b297c61ae680bf01e81104095dbd1440d009766a427ee697167491dc735003"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005844-n000004-0000-32050c9c885b83cb.parquet",
-      "sha256": "32050c9c885b83cbcc52c6302733a4ab2f24facfbbc087065f8067daef78f215",
       "bytes": 101902,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00005844-n000004-0000-32050c9c885b83cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "32050c9c885b83cbcc52c6302733a4ab2f24facfbbc087065f8067daef78f215"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5844",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5845",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5846",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5847"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005844.lean\",\"497ce7b81197e2a8a79c8a882bdd9217d857c4540e6be7e59d564f6a0ef6cf13\",0,\"lim_a\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005845.lean\",\"e4175ee69ee90eb5a198357b37319e471a454a87214373eab587a3be3f7b0440\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005846.lean\",\"7b5b7e14ed18174251b7873c8e95ed569be190ad85bbeb74d3a839b0d394dd32\",0,\"sin\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005847.lean\",\"f43770af40020ad2a9b26a9bd7995bb4b7fd7d3da2c8028131d57cf77325a58c\",0,\"sumOfRatios\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005848-n000004.json b/manifests/batches/oproofs/s00002-r00005848-n000004.json
index 48620f59d61f03b6f521f154a35828862a0b1d38..6a5b120881c5e1f8b3f48747b7d23abf5f9ac1d9 100644
--- a/manifests/batches/oproofs/s00002-r00005848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005848-n000004",
   "batch_fingerprint": "1bef1d66bcf25aa6d8447d7889cc6696fd3996ec5b9a76400c0381b5a6e4e7c4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005848-n000004-0000-0fdabd2e20651c1f.parquet",
-      "sha256": "0fdabd2e20651c1f5b1e72d792499f63c064016875124383c7aa8afcb0f6a120",
-      "bytes": 103678,
-      "rows": 8,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005848-n000004-0000-4ebae9b8fc096db3.parquet",
-      "sha256": "4ebae9b8fc096db3339de0d31aae4de497b83428d300869c20d23b7c7b76c6c6",
-      "bytes": 34765,
-      "rows": 3,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005849.lean\",\"bd3791f1440ec7ca037303c7e6861b870e5170be223fafd8326a1c2a562def1f\",0,\"dim_returns_zero\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005850.lean\",\"cc4696054d6e9e4eb932cb246edbaeb27df93edcd005254550992c593252925e\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005851.lean\",\"fb22eab72900e03b59b541d57f41d99ac5e153b90859f0b5246c226d18691dac\",0,\"lim_r\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103678,
+      "path": "data/train/p55/oproofs-s00002-r00005848-n000004-0000-0fdabd2e20651c1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0fdabd2e20651c1f5b1e72d792499f63c064016875124383c7aa8afcb0f6a120"
+    },
+    {
+      "bytes": 34765,
+      "path": "data/dev/p55/oproofs-s00002-r00005848-n000004-0000-4ebae9b8fc096db3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4ebae9b8fc096db3339de0d31aae4de497b83428d300869c20d23b7c7b76c6c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005852-n000004.json b/manifests/batches/oproofs/s00002-r00005852-n000004.json
index 718acfeb0b0072fd4f3c0a7222c073ca90212048..9fd7d498139fecf861148b65f4d57f634f63fa7e 100644
--- a/manifests/batches/oproofs/s00002-r00005852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005852-n000004",
   "batch_fingerprint": "abf1a2457672b3d2bb2263e0260355f06a1a749ddcd33f49477c59d0c2350fba",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000005/oproofs-s00002-r00005852-n000004-0000-27b768e0e0bbf64f.parquet",
-      "sha256": "27b768e0e0bbf64f73ac681dbe01bc5936e71d2339005814ff60d9dc616a131e",
-      "bytes": 105564,
-      "rows": 8,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000005/oproofs-s00002-r00005852-n000004-0000-27cd383081d4f94b.parquet",
-      "sha256": "27cd383081d4f94bdb3b7d4157047bb44b6bdc02908359e6b7dbf4cd3211372e",
-      "bytes": 34809,
-      "rows": 3,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5853",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005852.lean\",\"9911ecc9bdbee111732ff2bb285ec7ffc4e50de3e3a6a70166f96f664e8753db\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005853.lean\",\"fbf7b923c607855602d1ed9162ba6f2dcb29d79b7dcc707dc47eb8d8efbc7e83\",0,\"group_cyclic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005855.lean\",\"a236537e0cde5dce9efa41849e4a9e92969d52e0b5e83085334a86e4c576a415\",0,\"R_sym\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105564,
+      "path": "data/train/p33/oproofs-s00002-r00005852-n000004-0000-27b768e0e0bbf64f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "27b768e0e0bbf64f73ac681dbe01bc5936e71d2339005814ff60d9dc616a131e"
+    },
+    {
+      "bytes": 34809,
+      "path": "data/internal_test/p33/oproofs-s00002-r00005852-n000004-0000-27cd383081d4f94b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "27cd383081d4f94bdb3b7d4157047bb44b6bdc02908359e6b7dbf4cd3211372e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005856-n000004.json b/manifests/batches/oproofs/s00002-r00005856-n000004.json
index a966be7f0828d39e50578deee8952feeee7b54b5..d06c0fe8a96ecc657476b87e74c002e3e81f4221 100644
--- a/manifests/batches/oproofs/s00002-r00005856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005856-n000004",
   "batch_fingerprint": "76a0b4ec3c7a3c00bbd43b6a8ddd3cc79317c14a6c05c531b8982af54a899acb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005856-n000004-0000-6d697f420d4926d3.parquet",
-      "sha256": "6d697f420d4926d3ea17e41543da59b6711e462f8ec5ab594e7ff195541f9dbc",
-      "bytes": 997167,
-      "rows": 11,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005857.lean\",\"dea8284a075d65b7d748fd4e5e56831f2f2e7762ac4316d1000e49553acf9b6c\",0,\"sin_ge_2heta\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005858.lean\",\"833d7a4b832041a13ff1f685d1288ec0c9d74ba2541eff80e53915c7cbb0143b\",0,\"lim_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005859.lean\",\"0349e6f3141f5f1136a293c20dbe11a2f9a7f6f0b16809a545f30aaf34347df3\",0,\"deriv_eval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 997167,
+      "path": "data/train/p7e/oproofs-s00002-r00005856-n000004-0000-6d697f420d4926d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6d697f420d4926d3ea17e41543da59b6711e462f8ec5ab594e7ff195541f9dbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005860-n000004.json b/manifests/batches/oproofs/s00002-r00005860-n000004.json
index bff8897f992349c25b43b2cd20f7b828456b0fab..f6d057d78ef47ed98cfab2428039b4754fc4a953 100644
--- a/manifests/batches/oproofs/s00002-r00005860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005860-n000004",
   "batch_fingerprint": "0e85c6ee3bc3d9f347b1af6df35354a1e25df392b7a0030a82eb5d2b95c9d75f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5860",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5861",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5862",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5863"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005860.lean\",\"818d40bbf890c31dbe27fcc394d1423c945d98a822bd5f10bb6421d76124d3ce\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005861.lean\",\"859ee2c653a7bec1b169c6024f940107cc559b2c10164b51fa1acd9482a58538\",0,\"sphere_surface_area\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005862.lean\",\"016310037ca760f98bc848c94dbcfcc5b174b20ba8ade6566cc7f5058f57ba34\",0,\"lim_r\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005863.lean\",\"a4f21efc5d5d8ecca77efd7f4a08630e8eadbfee595098ff18adf3fbf6bbe48f\",0,\"proj\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005860-n000004-0000-c3c105d892bb3ebb.parquet",
-      "sha256": "c3c105d892bb3ebb5cd47a4655af64425b47c3f266d6d219e944db110110ebde",
       "bytes": 189585,
+      "path": "data/train/p7f/oproofs-s00002-r00005860-n000004-0000-c3c105d892bb3ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "c3c105d892bb3ebb5cd47a4655af64425b47c3f266d6d219e944db110110ebde"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005860-n000004-0000-781ff4125eefb3ef.parquet",
-      "sha256": "781ff4125eefb3ef8b11a8dc33ef8c39c7be36c0b7262735ee91d516758a30cd",
       "bytes": 31911,
+      "path": "data/dev/p7f/oproofs-s00002-r00005860-n000004-0000-781ff4125eefb3ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "781ff4125eefb3ef8b11a8dc33ef8c39c7be36c0b7262735ee91d516758a30cd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005860-n000004-0000-7babd8ee9b06184d.parquet",
-      "sha256": "7babd8ee9b06184df52f2cdb01604f69374eed6c76893c55d017331734215e4e",
       "bytes": 226100,
+      "path": "data/internal_test/p7f/oproofs-s00002-r00005860-n000004-0000-7babd8ee9b06184d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
+      "sha256": "7babd8ee9b06184df52f2cdb01604f69374eed6c76893c55d017331734215e4e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5860",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5861",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5862",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5863"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005860.lean\",\"818d40bbf890c31dbe27fcc394d1423c945d98a822bd5f10bb6421d76124d3ce\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005861.lean\",\"859ee2c653a7bec1b169c6024f940107cc559b2c10164b51fa1acd9482a58538\",0,\"sphere_surface_area\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005862.lean\",\"016310037ca760f98bc848c94dbcfcc5b174b20ba8ade6566cc7f5058f57ba34\",0,\"lim_r\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005863.lean\",\"a4f21efc5d5d8ecca77efd7f4a08630e8eadbfee595098ff18adf3fbf6bbe48f\",0,\"proj\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005864-n000004.json b/manifests/batches/oproofs/s00002-r00005864-n000004.json
index 42e32ec39698c5ded8ced2d2ac0c50d7b56779ed..f02ba0e2d690e245a5fb128214df13fac3c0ed1a 100644
--- a/manifests/batches/oproofs/s00002-r00005864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005864-n000004",
   "batch_fingerprint": "728d09c383fd554bc76a760262d43ac30ff665993e5f23c6d9d73d39bd0b661b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005864-n000004-0000-d7999a432e1ac234.parquet",
-      "sha256": "d7999a432e1ac234cbd497a820e8232cfefd6acfc8c82857a022b036c24e935d",
-      "bytes": 178005,
-      "rows": 9,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005864-n000004-0000-3d32cf87979688af.parquet",
-      "sha256": "3d32cf87979688af6b066495d219548f974ae932e1e84c7024fa55d2864da183",
-      "bytes": 176133,
-      "rows": 8,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005865.lean\",\"43d30fc03e3e823b3dfbe9349ef42e26ca5616f421f30e1e2dbc93e6b3b8a852\",0,\"abs_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005866.lean\",\"f4b6be381d5747813cbbcc8f1bc99184f1d02efb49e7678af63f43a50fea772a\",0,\"NonemptyRing\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005867.lean\",\"ea4108665b3c0cc15fe9b9811664ad8d4153343b329f96b6dc0f38eed79fda04\",0,\"algebra_570106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178005,
+      "path": "data/train/paa/oproofs-s00002-r00005864-n000004-0000-d7999a432e1ac234.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d7999a432e1ac234cbd497a820e8232cfefd6acfc8c82857a022b036c24e935d"
+    },
+    {
+      "bytes": 176133,
+      "path": "data/dev/paa/oproofs-s00002-r00005864-n000004-0000-3d32cf87979688af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3d32cf87979688af6b066495d219548f974ae932e1e84c7024fa55d2864da183"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005868-n000004.json b/manifests/batches/oproofs/s00002-r00005868-n000004.json
index 57db73d67478c6459e96c4af70d110babe27b2ae..4e344615a6671a7b67266b9f1f51e59b5b54e02b 100644
--- a/manifests/batches/oproofs/s00002-r00005868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005868-n000004",
   "batch_fingerprint": "d868e51d3186be55d04a964e418abbbbd6003e503f113bb36980488c892286d3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005868-n000004-0000-b560f3ed2f8bff46.parquet",
-      "sha256": "b560f3ed2f8bff46c80ac21cafe7d4035361981965e497e3c13c6b4c861538d8",
-      "bytes": 915236,
-      "rows": 17,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005869.lean\",\"b3966e29e82117f13e498887bf0452edd6470c47f3941a519f515de2fa78bcc4\",0,\"RealIrrational\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005870.lean\",\"6ebe9cec18d1c4b6131c53f31ef4e9ba02797a22b490e647732c0e61002ae0e4\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005871.lean\",\"958a9883d4c9a639a0e639db7b2d078eb4a2b4879609949b6ba63b78684105bc\",0,\"Nat.floorOdd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 915236,
+      "path": "data/train/pa3/oproofs-s00002-r00005868-n000004-0000-b560f3ed2f8bff46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b560f3ed2f8bff46c80ac21cafe7d4035361981965e497e3c13c6b4c861538d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005872-n000004.json b/manifests/batches/oproofs/s00002-r00005872-n000004.json
index 0167f9c62a88f9776457c61ea50511435476d4b7..ebe48d138e4e423e73dcbebecdbaa0ea7513c558 100644
--- a/manifests/batches/oproofs/s00002-r00005872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005872-n000004",
   "batch_fingerprint": "c680be1b39e03a50c30de14b789e9a6a63d2ba05fe88053821a0bfd0b2f21ecd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005872-n000004-0000-6c6dd7325def78e8.parquet",
-      "sha256": "6c6dd7325def78e865fc517503c061d026899ba91c10ee2c02492ab048d553d0",
-      "bytes": 264527,
-      "rows": 15,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005872-n000004-0000-c3481cc676bcb4ec.parquet",
-      "sha256": "c3481cc676bcb4ec1ccf3120d3c2cc5e83410e0d23304209564cf11993bc6299",
-      "bytes": 159130,
-      "rows": 5,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005873.lean\",\"0dca8838c7c6db80991e2f0c5753f56f6ca92269ffdc89799c62b61dad5e1b74\",0,\"RealSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005874.lean\",\"608e1dad8677f0b9baca08f6afebb83d8116f8ba2edb099a4d655f12603bfa5c\",0,\"Real_396027\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005875.lean\",\"b7d9fe9313431b682fc321fe14b146cb0f7b21989ba9a107fe2f58146d054b42\",0,\"lean_workbook_36884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264527,
+      "path": "data/train/pcb/oproofs-s00002-r00005872-n000004-0000-6c6dd7325def78e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6c6dd7325def78e865fc517503c061d026899ba91c10ee2c02492ab048d553d0"
+    },
+    {
+      "bytes": 159130,
+      "path": "data/dev/pcb/oproofs-s00002-r00005872-n000004-0000-c3481cc676bcb4ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c3481cc676bcb4ec1ccf3120d3c2cc5e83410e0d23304209564cf11993bc6299"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005876-n000004.json b/manifests/batches/oproofs/s00002-r00005876-n000004.json
index 1573e75ec44174acb4f43a8a3d43ec0caaee0adf..d799ef5ad6cc1f45d2538a1ca98f7c74efcffe49 100644
--- a/manifests/batches/oproofs/s00002-r00005876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005876-n000004",
   "batch_fingerprint": "3e6e1b18ca81a7d7c7fe39a10a4a141f8d81932b193edc212a43e3186d0a80c3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005876-n000004-0000-53e9a9315a2e19a4.parquet",
-      "sha256": "53e9a9315a2e19a46f1be6e19240626c16364266fd89797eed539bbb98135d4f",
-      "bytes": 119073,
-      "rows": 12,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005876-n000004-0000-d008c21939b1e01d.parquet",
-      "sha256": "d008c21939b1e01d6fe6e3650b1ded9c1fd9e127933708faa3114c1a6af2b35c",
-      "bytes": 69789,
-      "rows": 3,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005877.lean\",\"f759c19323b9c87d293c75678ce48fa64620c71ed19eb5c7b91ce587b84a4cb4\",0,\"lean_workbook_plus_12578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005878.lean\",\"fce24f9385977a1aa960de7fbe3bab525f8811f9ecb4ce47c47391986658ea9f\",0,\"lean_workbook_plus_13913\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005879.lean\",\"979c3d2bab15b4947ab5ecd27d231a8e1caf2c0be6dc535ce93d94c636371bd4\",0,\"lean_workbook_plus_31882\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119073,
+      "path": "data/train/p4a/oproofs-s00002-r00005876-n000004-0000-53e9a9315a2e19a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "53e9a9315a2e19a46f1be6e19240626c16364266fd89797eed539bbb98135d4f"
+    },
+    {
+      "bytes": 69789,
+      "path": "data/dev/p4a/oproofs-s00002-r00005876-n000004-0000-d008c21939b1e01d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d008c21939b1e01d6fe6e3650b1ded9c1fd9e127933708faa3114c1a6af2b35c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005880-n000004.json b/manifests/batches/oproofs/s00002-r00005880-n000004.json
index 28e70a3f91db8d4a4294e2cd38f65babd87e05bd..ba83b54584aeee1dcfe12543100ac809d39ad91a 100644
--- a/manifests/batches/oproofs/s00002-r00005880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005880-n000004",
   "batch_fingerprint": "06a9666a1ce8083d8e9a2ef5a70b90506004c678ac19ae3b3cd4379bcde81d91",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005880-n000004-0000-a044a33bf164bc2e.parquet",
-      "sha256": "a044a33bf164bc2e20493f195e877dbef2d961bf3ac022aac95bfd85f61e7160",
-      "bytes": 500830,
-      "rows": 11,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005880-n000004-0000-e0091a1df219d9cb.parquet",
-      "sha256": "e0091a1df219d9cbc00a4ac62e283822a796c9b1fc9dc74263b3a69eb9015377",
-      "bytes": 306491,
-      "rows": 17,
-      "revision": "aee2d8ab42816a9e20b2f96c8eb5cfefc91cf112"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005881.lean\",\"7ecae9793c54eba4a85e1fa94296c2c7e2b01c98bd1549f5afb702c926fe16c9\",0,\"lean_workbook_plus_5204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005882.lean\",\"456f8e11de57bac58801a47f0af8c4f1ebbd3e1376426e43414d9be371994c5a\",0,\"lean_workbook_plus_78206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005883.lean\",\"86197c026b23bfeaeeca4bf9b049b89a37e913d0e6fd51f2b774a94155596451\",0,\"triangle_angle_B_is_two_pi_thirds\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 500830,
+      "path": "data/train/pf3/oproofs-s00002-r00005880-n000004-0000-a044a33bf164bc2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a044a33bf164bc2e20493f195e877dbef2d961bf3ac022aac95bfd85f61e7160"
+    },
+    {
+      "bytes": 306491,
+      "path": "data/dev/pf3/oproofs-s00002-r00005880-n000004-0000-e0091a1df219d9cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e0091a1df219d9cbc00a4ac62e283822a796c9b1fc9dc74263b3a69eb9015377"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005884-n000004.json b/manifests/batches/oproofs/s00002-r00005884-n000004.json
index 6ab0ec6f29bdbcc37af595711c0d3bafdc98b95c..8d3d8a7f6f1e4b1cbcf651b547dfa9bcb0a50bbc 100644
--- a/manifests/batches/oproofs/s00002-r00005884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005884-n000004",
   "batch_fingerprint": "f3fbfcec579e5c9964a8b2faa961c02fd1d0da9f869646a412a37a9cad0319a2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005884-n000004-0000-7b690d189c25d28b.parquet",
-      "sha256": "7b690d189c25d28bce62c414f45a67db7c20b7296f521b5621fa3e248e20e402",
-      "bytes": 213678,
-      "rows": 12,
-      "revision": "96a9ad2ab67a1028e726596ecb0139d591b4216c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005885.lean\",\"edf45950f5d97951d47bdfc634ca7f78689a6513daec07c63668cc2460ed94f0\",0,\"lean_workbook_plus_50638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005886.lean\",\"5295da8511ceb752ee8363e16c11b0d14930f2d23de388c868a3606baea08edb\",0,\"power_log_comparison\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005887.lean\",\"65e3928d890546d21ac67ed947022f92fb6569d5183f946764711e19bcef0233\",0,\"lean_workbook_plus_36139\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213678,
+      "path": "data/train/p82/oproofs-s00002-r00005884-n000004-0000-7b690d189c25d28b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "7b690d189c25d28bce62c414f45a67db7c20b7296f521b5621fa3e248e20e402"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005888-n000004.json b/manifests/batches/oproofs/s00002-r00005888-n000004.json
index f91ef289d09be3c95e3d7bc30982cad52c08538a..f1aab4e7f66bee16f570eba11ea807fc62d7eb08 100644
--- a/manifests/batches/oproofs/s00002-r00005888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005888-n000004",
   "batch_fingerprint": "b734c7cd723107bc85cc5ee8d0f241e0accf57f5fb770e92c1d3693280e90b77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005888-n000004-0000-d0dbb05b66a7a795.parquet",
-      "sha256": "d0dbb05b66a7a795a509c3f30365659d9b7af69e8ad06b0c53134b43f0fdfca7",
-      "bytes": 175564,
-      "rows": 7,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005888-n000004-0000-6d0ab571eb08d2d8.parquet",
-      "sha256": "6d0ab571eb08d2d89c5b0f9584154df5d2fd450a2299341ce1d52723b0ae562f",
-      "bytes": 72831,
-      "rows": 7,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005889.lean\",\"9d9c66c070b5123a6d3decb22c3e14250f35e0d280b5d6a885a936a502be6c04\",0,\"lean_workbook_plus_55944\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005890.lean\",\"b850f4e9fd495a7d2d12445c8162e7928494bab7275e852f885249f72466ddc5\",0,\"lean_workbook_plus_35651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005891.lean\",\"4e642bca8d3e5fd84dcd48634c67e745b4c9f5a0fcce21dbaa271ca4dd63fa3c\",0,\"lean_workbook_plus_76089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175564,
+      "path": "data/train/pa4/oproofs-s00002-r00005888-n000004-0000-d0dbb05b66a7a795.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d0dbb05b66a7a795a509c3f30365659d9b7af69e8ad06b0c53134b43f0fdfca7"
+    },
+    {
+      "bytes": 72831,
+      "path": "data/internal_test/pa4/oproofs-s00002-r00005888-n000004-0000-6d0ab571eb08d2d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6d0ab571eb08d2d89c5b0f9584154df5d2fd450a2299341ce1d52723b0ae562f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005892-n000004.json b/manifests/batches/oproofs/s00002-r00005892-n000004.json
index 6e070576875793e783c9715ce95a75e9cf5054af..d7bb4cd47f40021bc570a26395bed403b8053232 100644
--- a/manifests/batches/oproofs/s00002-r00005892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005892-n000004",
   "batch_fingerprint": "53f9084d6c4a9bc1cbc0020f840dc9df9d92b4f51aafab7d52810df77bdc1ef2",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005892-n000004-0000-f63c9f636c1ce40c.parquet",
-      "sha256": "f63c9f636c1ce40cf8a3987e4455074f941f1477d6e752212a68711f1b49ff32",
-      "bytes": 1421894,
-      "rows": 14,
-      "revision": "9ac5c58990b2ee3e6f0e2d2b85b12a793fa800d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5894",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005892.lean\",\"e8240899258f2b5c940df30c22377dd38544faa818664bdcaf88a84cbb76c868\",0,\"lean_workbook_plus_26724\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005894.lean\",\"4463baf18270ffc84d714cd45458311b5d02271a42d0e17eb29bf50aae8b255f\",0,\"lean_workbook_plus_39491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005895.lean\",\"11da08b0b4d72e80741ebdb40631ff000951c66b91a010f88a1220c67d1e907b\",0,\"lean_workbook_plus_40349\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1421894,
+      "path": "data/train/pd7/oproofs-s00002-r00005892-n000004-0000-f63c9f636c1ce40c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f63c9f636c1ce40cf8a3987e4455074f941f1477d6e752212a68711f1b49ff32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005896-n000004.json b/manifests/batches/oproofs/s00002-r00005896-n000004.json
index 46859d4da66986ccb9a2c8a0f1554e0832d9488f..36cd77f8fc27203ea2dfbb32c0c10de84a985c81 100644
--- a/manifests/batches/oproofs/s00002-r00005896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005896-n000004",
   "batch_fingerprint": "9c834552c62e4ca7dd3fd20011b9845aee462e95911fa23f03fdfc83ae879d00",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005896-n000004-0000-8fafcb550c644207.parquet",
-      "sha256": "8fafcb550c64420710d15ac531f30ed26aa1d389f27b666ced3d834375591373",
-      "bytes": 179265,
-      "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005896-n000004-0000-66d8dd573ebb12be.parquet",
-      "sha256": "66d8dd573ebb12be14a3e82936192a153362963b1a00ddf907a963061d65f2d1",
-      "bytes": 49204,
-      "rows": 2,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005897.lean\",\"a88a3b7a5eed07573267da58cd8ada967dd9cfb014c545c05e428fb6d46c4336\",0,\"lean_workbook_plus_53580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005898.lean\",\"12cbea648f8087198bce6808974398470147bb922a210460f93ee38738b02abe\",0,\"lean_workbook_plus_13318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005899.lean\",\"382f15d6a1a6cc596906434074863e4556dbaa00c29e99a4deb7103e70f7c8bd\",0,\"lean_workbook_plus_31077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179265,
+      "path": "data/train/p39/oproofs-s00002-r00005896-n000004-0000-8fafcb550c644207.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8fafcb550c64420710d15ac531f30ed26aa1d389f27b666ced3d834375591373"
+    },
+    {
+      "bytes": 49204,
+      "path": "data/internal_test/p39/oproofs-s00002-r00005896-n000004-0000-66d8dd573ebb12be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "66d8dd573ebb12be14a3e82936192a153362963b1a00ddf907a963061d65f2d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005900-n000004.json b/manifests/batches/oproofs/s00002-r00005900-n000004.json
index 37f090997b6aa6f79eb450d920fa6cf4a37c54e7..96fe31d224ed7d295f662333e49d047b56cfb542 100644
--- a/manifests/batches/oproofs/s00002-r00005900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005900-n000004",
   "batch_fingerprint": "f7ec3a3d122ceed3d4fcc9934ea4c3f65d17df09495eb82a19dd7591652943b1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005900-n000004-0000-330022e3e1cd5dfe.parquet",
-      "sha256": "330022e3e1cd5dfe9951bbb3812aee7b2edb949a165168768ecc38b03659f4f5",
-      "bytes": 123003,
-      "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005900-n000004-0000-cec8a85386f58f6e.parquet",
-      "sha256": "cec8a85386f58f6e6f84f993f3b908506c369ac07ab536c89848dfdcb353274f",
-      "bytes": 54050,
-      "rows": 4,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005901.lean\",\"08f264d0a71c35872ad1a38fb3d7075b0ad41146d2036da9d9b7b41bca019b7f\",0,\"lean_workbook_plus_56956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005902.lean\",\"f2d08e80917c680b06428ea178a5637bcaebe0c44900de5e7b38bbb660c3c3dd\",0,\"lean_workbook_plus_58131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005903.lean\",\"f8723ed54d0c12231eb744016b6c1e53e0a52aa59f3c89dd0ad2827eff994745\",0,\"lean_workbook_plus_45329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123003,
+      "path": "data/train/p03/oproofs-s00002-r00005900-n000004-0000-330022e3e1cd5dfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "330022e3e1cd5dfe9951bbb3812aee7b2edb949a165168768ecc38b03659f4f5"
+    },
+    {
+      "bytes": 54050,
+      "path": "data/internal_test/p03/oproofs-s00002-r00005900-n000004-0000-cec8a85386f58f6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cec8a85386f58f6e6f84f993f3b908506c369ac07ab536c89848dfdcb353274f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005904-n000004.json b/manifests/batches/oproofs/s00002-r00005904-n000004.json
index abb27b68f330154f2c5c848f8254cb6687d8521b..b04501daa841d3dd99f2dbc7b77a845655311128 100644
--- a/manifests/batches/oproofs/s00002-r00005904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005904-n000004",
   "batch_fingerprint": "c14035f848cbe838ff6e383830236b271bdfddf327b803e937db55630a2ca56e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005904-n000004-0000-9d738555c05335d4.parquet",
-      "sha256": "9d738555c05335d4c4e44fe381a1632b3d4808fd96dad26d5b3a90eda0242f25",
-      "bytes": 212870,
-      "rows": 16,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005905.lean\",\"d40579a311adb72972e30bd6d99b0d1535973796719fcbba32ffb81c66477f34\",0,\"lean_workbook_plus_13775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005906.lean\",\"b2ae09aeefe25a6407789bc58dfdf7394d5cf1b7c4dfb94562e21511d6bae9bc\",0,\"lean_workbook_plus_40823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005907.lean\",\"c1ad08f06e761310d9f01b74794bf1d009c16c5b2250f51ec4815b6a658812d6\",0,\"lean_workbook_plus_13520\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212870,
+      "path": "data/train/p67/oproofs-s00002-r00005904-n000004-0000-9d738555c05335d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9d738555c05335d4c4e44fe381a1632b3d4808fd96dad26d5b3a90eda0242f25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005908-n000004.json b/manifests/batches/oproofs/s00002-r00005908-n000004.json
index bed2e378f42d3d2fd0cbd29d0395d55815d69081..6f4b9e7b366a510ce61f6262e9b5d3a161636458 100644
--- a/manifests/batches/oproofs/s00002-r00005908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005908-n000004",
   "batch_fingerprint": "bd8d0c825f9a689f67ec80bad55867770ba7b6437f726df4ea6b31ed74ebede2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005908-n000004-0000-5e9d7b3485723186.parquet",
-      "sha256": "5e9d7b348572318686efc4edc2a7339a2b526e96a6a4e12a02c63b609747eee7",
-      "bytes": 279731,
-      "rows": 21,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005909.lean\",\"78ff7972be2773ffa6e9c231aef1acaa209e85d49e5df97ab2189dbe475e83ec\",0,\"marble_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005910.lean\",\"6d87a94ac047bdc6c4d38dc964a2b8678bcbd2c040557d3dfb00a5d154aeb17e\",0,\"lean_workbook_17322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005911.lean\",\"2d443913a59a617532d643d3b7a11016fd4c89bf0a2b1fd58c2b43b0804fcb8f\",0,\"lean_workbook_plus_58851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279731,
+      "path": "data/train/pdc/oproofs-s00002-r00005908-n000004-0000-5e9d7b3485723186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5e9d7b348572318686efc4edc2a7339a2b526e96a6a4e12a02c63b609747eee7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005912-n000004.json b/manifests/batches/oproofs/s00002-r00005912-n000004.json
index 9cfed7dfb105433de105fc4920f941888cf8f8e8..2e464051a57929cd006da568aed43ab8447b56b8 100644
--- a/manifests/batches/oproofs/s00002-r00005912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005912-n000004",
   "batch_fingerprint": "07a7dd1d2c8e46e0656ab18d5b21fa5ed2b874626c22f2b3694b7bdbfff3bf0e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005912-n000004-0000-b622f3155b8646d7.parquet",
-      "sha256": "b622f3155b8646d7ee8e567538021c1e588b35fc9455418f46e81b805893e198",
-      "bytes": 131689,
-      "rows": 11,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005912-n000004-0000-cdc62f8649f7434b.parquet",
-      "sha256": "cdc62f8649f7434ba221138e9bb29f4a5e6b0ab1148eeffc86509f18ecd3ae52",
-      "bytes": 45161,
-      "rows": 2,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005913.lean\",\"6facdc668f70eba10f937a03a9e6e5992f64d152fc63e037b79aebee08a5c232\",0,\"lean_workbook_38375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005914.lean\",\"2e52c8d0df2821bdc6cc83623db7741bc997e8376413fe2021b050395633a3e3\",0,\"lean_workbook_plus_65822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005915.lean\",\"45589e265b6c83da30bc1444d69f9b720f5276bd64b2b5ccf365b084b7cecab2\",0,\"lean_workbook_plus_77432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131689,
+      "path": "data/train/p8a/oproofs-s00002-r00005912-n000004-0000-b622f3155b8646d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b622f3155b8646d7ee8e567538021c1e588b35fc9455418f46e81b805893e198"
+    },
+    {
+      "bytes": 45161,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00005912-n000004-0000-cdc62f8649f7434b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cdc62f8649f7434ba221138e9bb29f4a5e6b0ab1148eeffc86509f18ecd3ae52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005916-n000004.json b/manifests/batches/oproofs/s00002-r00005916-n000004.json
index 9944b8cf219a4b42197852ad356e564e32dc7c67..2b93b457eb58b322536d903115309ea4ddc79d9b 100644
--- a/manifests/batches/oproofs/s00002-r00005916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005916-n000004",
   "batch_fingerprint": "196bda53203aec05c4a04a78294c6412bae173bf7af220d781e7438f52a368c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005916-n000004-0000-3842802b9029fc69.parquet",
-      "sha256": "3842802b9029fc6960cc6ac5799b7ddbeb80a835ba4cef237626d990c55d7e84",
-      "bytes": 230887,
-      "rows": 12,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005916-n000004-0000-f6fb396f8ecf6d3a.parquet",
-      "sha256": "f6fb396f8ecf6d3abffc12eda69f6438a780c1a76a12df3a142173d40e3b35fe",
-      "bytes": 39082,
-      "rows": 2,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005917.lean\",\"83f65cf4ccbd1940683b9101bf8a8e9f87e4b7023719c996714079609759c741\",0,\"lean_workbook_plus_76131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005918.lean\",\"98dfed910e9bffd52c66ead677dd5d862c27a01d021bc9afd764a562c3123a9c\",0,\"lean_workbook_plus_62094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005919.lean\",\"5ffb9d6fddc540f2e718035e122b5f2cc5c28fe43372afafaa0e0687cf11d941\",0,\"lean_workbook_plus_25760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230887,
+      "path": "data/train/p6f/oproofs-s00002-r00005916-n000004-0000-3842802b9029fc69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3842802b9029fc6960cc6ac5799b7ddbeb80a835ba4cef237626d990c55d7e84"
+    },
+    {
+      "bytes": 39082,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00005916-n000004-0000-f6fb396f8ecf6d3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f6fb396f8ecf6d3abffc12eda69f6438a780c1a76a12df3a142173d40e3b35fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005920-n000004.json b/manifests/batches/oproofs/s00002-r00005920-n000004.json
index 2bfae634e5b87819724da570d5a4a11eb9856821..dd1592282c475fa52c121d7ab70f3c007744d614 100644
--- a/manifests/batches/oproofs/s00002-r00005920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005920-n000004",
   "batch_fingerprint": "cec44bb74e059bb1f283fe63d1b955464922ac779755bc3ae44d2529df509442",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005920-n000004-0000-5dcb605e9b709f73.parquet",
-      "sha256": "5dcb605e9b709f73fb7f60f0f7bc09117311117528cd1dbef60bc6fcd6096046",
-      "bytes": 57430,
-      "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005920-n000004-0000-3d04891049fc0e93.parquet",
-      "sha256": "3d04891049fc0e93ca309858b4a52f90d73ff5c22d51e13679caca8646560ec4",
-      "bytes": 77972,
-      "rows": 9,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005921.lean\",\"b177292d3b97fd4f9377a63a4d2f23003c0312c330e9031a5338bb7553409435\",0,\"lean_workbook_plus_24569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005922.lean\",\"8fcd6cf481679f14ffebc1cdc867b9dcb5962d95919e46ead3ab3660a11de421\",0,\"lean_workbook_plus_56383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005923.lean\",\"b65d9f9bd7cee58b95296c7472de740750f05268e82d1f3647ba621d2049c07b\",0,\"lean_workbook_43597\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57430,
+      "path": "data/train/p92/oproofs-s00002-r00005920-n000004-0000-5dcb605e9b709f73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5dcb605e9b709f73fb7f60f0f7bc09117311117528cd1dbef60bc6fcd6096046"
+    },
+    {
+      "bytes": 77972,
+      "path": "data/internal_test/p92/oproofs-s00002-r00005920-n000004-0000-3d04891049fc0e93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3d04891049fc0e93ca309858b4a52f90d73ff5c22d51e13679caca8646560ec4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005924-n000004.json b/manifests/batches/oproofs/s00002-r00005924-n000004.json
index 2a80df407328a71221940dc4029cd32652005d69..5fab609fa818003ea4c3eb64ab40bcf38b4e9c41 100644
--- a/manifests/batches/oproofs/s00002-r00005924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005924-n000004",
   "batch_fingerprint": "2aef79691993be43d645b8c9c1a70b403328cc0afe25946d095d15ea682eda18",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5924",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5925",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5926",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5927"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005924.lean\",\"24c15c2ac27cccd1a8f812a171ab77bf07529c78e25e194d8fde5888e99fd80c\",0,\"lean_workbook_1939\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005925.lean\",\"3e248e1fda6e1a65c2669671a26f3fd5737c7b34a9243e72117249d98fd4f3e9\",0,\"lean_workbook_plus_16119\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005926.lean\",\"f6afbc0ab24e7f109f956696bcfb40d62f4314da3369382a9006df17000ec5e2\",0,\"lean_workbook_plus_57334\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005927.lean\",\"3bbdd3c4037f49874a152b74f24ef9a252b28f3ee8ed20163e33d5c1d134250d\",0,\"lean_workbook_plus_64809\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005924-n000004-0000-ebb19de7551b3d44.parquet",
-      "sha256": "ebb19de7551b3d44dd311b598154144832a35e575592f06471dc9fd11e04264e",
       "bytes": 140311,
+      "path": "data/train/p5c/oproofs-s00002-r00005924-n000004-0000-ebb19de7551b3d44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "ebb19de7551b3d44dd311b598154144832a35e575592f06471dc9fd11e04264e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005924-n000004-0000-570477aa3dd79077.parquet",
-      "sha256": "570477aa3dd79077907bd89e0370025bf306cf40b7d705415247b55e5a1dc52a",
       "bytes": 57889,
+      "path": "data/dev/p5c/oproofs-s00002-r00005924-n000004-0000-570477aa3dd79077.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "570477aa3dd79077907bd89e0370025bf306cf40b7d705415247b55e5a1dc52a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005924-n000004-0000-67b40fe6195f49c2.parquet",
-      "sha256": "67b40fe6195f49c253d4a85dd0bc059b33a0b844d55fcbd992a83f504ab4d90d",
       "bytes": 134360,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00005924-n000004-0000-67b40fe6195f49c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "67b40fe6195f49c253d4a85dd0bc059b33a0b844d55fcbd992a83f504ab4d90d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5924",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5925",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5926",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5927"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005924.lean\",\"24c15c2ac27cccd1a8f812a171ab77bf07529c78e25e194d8fde5888e99fd80c\",0,\"lean_workbook_1939\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005925.lean\",\"3e248e1fda6e1a65c2669671a26f3fd5737c7b34a9243e72117249d98fd4f3e9\",0,\"lean_workbook_plus_16119\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005926.lean\",\"f6afbc0ab24e7f109f956696bcfb40d62f4314da3369382a9006df17000ec5e2\",0,\"lean_workbook_plus_57334\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005927.lean\",\"3bbdd3c4037f49874a152b74f24ef9a252b28f3ee8ed20163e33d5c1d134250d\",0,\"lean_workbook_plus_64809\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005928-n000004.json b/manifests/batches/oproofs/s00002-r00005928-n000004.json
index 708ecbdc9c47370a55aeb81ae00c9d390610c93d..dbed937658ef0b96eabcf367268a8a5529729feb 100644
--- a/manifests/batches/oproofs/s00002-r00005928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005928-n000004",
   "batch_fingerprint": "28cde4b3c0c78a5f7c23783c1969191430ea892c126b41307ea72fc04b3fd97b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005928-n000004-0000-2774cd3576b7356b.parquet",
-      "sha256": "2774cd3576b7356b45e6060a184739cf5360bc64c16052722505a1bcca4d9d9c",
-      "bytes": 491889,
-      "rows": 24,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005929.lean\",\"f16a3a1fb140d3223c6d9cf71a6fd1535bf222ef01397bf5b60207b7277b3ce7\",0,\"lean_workbook_plus_62146\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005930.lean\",\"d10c87559b5f509c84d9cf617324f1211f7a4edfd2e92a06524b330d2c9c6d82\",1,\"min_distance_to_2i_tight\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005931.lean\",\"28962a7678d92ac6d1cab22854fd4bc2cba66debad68fe9581a4354700e265ea\",0,\"lean_workbook_plus_59337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 491889,
+      "path": "data/train/p11/oproofs-s00002-r00005928-n000004-0000-2774cd3576b7356b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "2774cd3576b7356b45e6060a184739cf5360bc64c16052722505a1bcca4d9d9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005932-n000004.json b/manifests/batches/oproofs/s00002-r00005932-n000004.json
index 66a1fb8cbdc8fc4a9e4106b4735df6b2336e5181..f73f384ef6b207294324b891690c9a5e8aca2a55 100644
--- a/manifests/batches/oproofs/s00002-r00005932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005932-n000004",
   "batch_fingerprint": "4110ddbce4d7e6caec1597907793dcb21c7804e8fc146d3fd1e2e1c57262af36",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005932-n000004-0000-489d777c928610e0.parquet",
-      "sha256": "489d777c928610e0010f60d204c0e876fe6dff87c79a2386e6ada543e73899d0",
-      "bytes": 120904,
-      "rows": 11,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005932-n000004-0000-d7d1c015f1aa3219.parquet",
-      "sha256": "d7d1c015f1aa3219225b6d154281ce498b3f759582db65884220ce490c787f09",
-      "bytes": 41810,
-      "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5933",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005933.lean\",\"67140f5123f3be8bd47e52cad554fc272779eb2fc6582bad6659fec12d57e1af\",0,\"lean_workbook_plus_4662\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005934.lean\",\"93563b2d4c4037c9d6846699b65acab9d32ef9c941dfbd691cec97b5e7421926\",0,\"meal_distribution_one_correct\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005935.lean\",\"c5a938fd4e7637e6ee876ae469aa7120bd3542cd43c110a4ef4556982b6ee06b\",0,\"lean_workbook_plus_6935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120904,
+      "path": "data/train/p7f/oproofs-s00002-r00005932-n000004-0000-489d777c928610e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "489d777c928610e0010f60d204c0e876fe6dff87c79a2386e6ada543e73899d0"
+    },
+    {
+      "bytes": 41810,
+      "path": "data/dev/p7f/oproofs-s00002-r00005932-n000004-0000-d7d1c015f1aa3219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d7d1c015f1aa3219225b6d154281ce498b3f759582db65884220ce490c787f09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005936-n000004.json b/manifests/batches/oproofs/s00002-r00005936-n000004.json
index e6729b14fb1d609216a19d4d54e867c45077f224..b284d34d2e4e09d8e65b308b5497e97b5fd5a7a4 100644
--- a/manifests/batches/oproofs/s00002-r00005936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005936-n000004",
   "batch_fingerprint": "f634716f0564c17631fa17b3b50544c6e0b97f6044bb2853211914c95ecf6ac1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005936-n000004-0000-523cb89aa9d0cefa.parquet",
-      "sha256": "523cb89aa9d0cefa59fe18fac61f3bf9aed3300dc46811164fe11cfd7a282023",
-      "bytes": 236379,
-      "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005936-n000004-0000-8fe181e7cf286eb1.parquet",
-      "sha256": "8fe181e7cf286eb183e4467ddc03878c1660da6aeba055459b527e7f5dddf139",
-      "bytes": 47878,
-      "rows": 4,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005937.lean\",\"43d8f3faa64aa7bc0dbd2401d47eea5c693a7c7f659a4459882d1add3097a260\",0,\"lean_workbook_15488\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005938.lean\",\"03852c40019ab58557c40d8a5dd5a549a958e8856550b064c1114a82add10ee4\",0,\"lean_workbook_plus_14469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005939.lean\",\"9725d14c4dd801840190bfd6e82a9eaae49f3994ce6471f9e7f22e19ff79102c\",0,\"lean_workbook_plus_64831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236379,
+      "path": "data/train/p13/oproofs-s00002-r00005936-n000004-0000-523cb89aa9d0cefa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "523cb89aa9d0cefa59fe18fac61f3bf9aed3300dc46811164fe11cfd7a282023"
+    },
+    {
+      "bytes": 47878,
+      "path": "data/internal_test/p13/oproofs-s00002-r00005936-n000004-0000-8fe181e7cf286eb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8fe181e7cf286eb183e4467ddc03878c1660da6aeba055459b527e7f5dddf139"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005940-n000004.json b/manifests/batches/oproofs/s00002-r00005940-n000004.json
index 736e246bfc34a67f0a696920d52cb3fb845449a9..652fa9990477ffc15515efded9635ef06992a538 100644
--- a/manifests/batches/oproofs/s00002-r00005940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005940-n000004",
   "batch_fingerprint": "52d670f2e7871677a2c26f9feb9a5cfc95f91286f3b2984d43a09dddff44fdf8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005940-n000004-0000-bef077ec42a04437.parquet",
-      "sha256": "bef077ec42a04437d2ecd83a3f1526c61799a4d7121c8d406b1c7693ef789604",
-      "bytes": 507929,
-      "rows": 8,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005940-n000004-0000-1e1c02d34437eaaf.parquet",
-      "sha256": "1e1c02d34437eaaf9c1319b2fdff0258a6468e34d0f7d3955a76fa92691581f2",
-      "bytes": 54350,
-      "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005941.lean\",\"4502539a38973d3031a0e622b99b8d8e48bf2db389e16e92a3238cae45dabc94\",0,\"Real.sin_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005942.lean\",\"90a616768503c4f18a26e808cbc177b4a649e6cc10929a257eb4f25b1b5ded76\",0,\"RealIrrational\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005943.lean\",\"f8b078f17b2f86dbac520c930ac415e3b42a0899f6538bb2cde3a8e5b183c029\",0,\"arith\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 507929,
+      "path": "data/train/p66/oproofs-s00002-r00005940-n000004-0000-bef077ec42a04437.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bef077ec42a04437d2ecd83a3f1526c61799a4d7121c8d406b1c7693ef789604"
+    },
+    {
+      "bytes": 54350,
+      "path": "data/dev/p66/oproofs-s00002-r00005940-n000004-0000-1e1c02d34437eaaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1e1c02d34437eaaf9c1319b2fdff0258a6468e34d0f7d3955a76fa92691581f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005944-n000004.json b/manifests/batches/oproofs/s00002-r00005944-n000004.json
index cbe65b5f7d183d0eaaa26bce031a648a7a2e396d..0d46d178a03445ba161a6d03d56a594e2beb6f33 100644
--- a/manifests/batches/oproofs/s00002-r00005944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005944-n000004",
   "batch_fingerprint": "c4e24aa964511ba1cf4ac8c31e5a4e4c5bf8d827773c442f7f0d91a8016c3c2e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005944-n000004-0000-be245b97354ac35b.parquet",
-      "sha256": "be245b97354ac35bb586962ee667faf8cd4be3aedcd9b0504526a7b3fd825ad0",
-      "bytes": 662548,
-      "rows": 15,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005945.lean\",\"8eb3bd8292b77e976db4c2b98f46f107644f018c29a1b742cc7899df0e04cdf3\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005946.lean\",\"fcaa19a84a3fc11977eb2517a64cf4d26c6444bcbd14d2c9001c7ddc5cbcec5e\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005947.lean\",\"92e1fdd4831e4106c8ba2c9f5830e86d2c78730295e457733213bbf6694a1af0\",0,\"lean_workbook_plus_12578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662548,
+      "path": "data/train/pa9/oproofs-s00002-r00005944-n000004-0000-be245b97354ac35b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "be245b97354ac35bb586962ee667faf8cd4be3aedcd9b0504526a7b3fd825ad0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005948-n000004.json b/manifests/batches/oproofs/s00002-r00005948-n000004.json
index be695ef2d078e427cd43f55a637ee3fd10d08781..f1b2607b007c5f6808fd59b7de9b1257f404bd18 100644
--- a/manifests/batches/oproofs/s00002-r00005948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005948-n000004",
   "batch_fingerprint": "9f16b49a96fc427427500a377104bc0e10c62027ace08abafd526ae295ccb925",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005948-n000004-0000-3ff7a7a1648f4e9a.parquet",
-      "sha256": "3ff7a7a1648f4e9ab3b7360cc120ac28d5f391b4cc2b918b763fd46489205ce8",
-      "bytes": 207577,
-      "rows": 9,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00005948-n000004-0000-b05fb3b30b4fcada.parquet",
-      "sha256": "b05fb3b30b4fcada3fcf3deeef1393eb58b4139f34de1193056ab0be1585e691",
-      "bytes": 287132,
-      "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005949.lean\",\"b03be09a70de7e30ce28151cb9b0614d512e11ad0510581493bc3d46a0336ef4\",0,\"lean_workbook_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005950.lean\",\"0d31cde3c014360596fe489a9434501c12b4bbfeca7ebd1490be68b53982e9ec\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005951.lean\",\"0edbce1f8af9526064d5a11d7e7eb80173c7aa53d8686d1b49d3a8c2faa5677d\",0,\"lean_workbook_plus_5204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207577,
+      "path": "data/train/p84/oproofs-s00002-r00005948-n000004-0000-3ff7a7a1648f4e9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3ff7a7a1648f4e9ab3b7360cc120ac28d5f391b4cc2b918b763fd46489205ce8"
+    },
+    {
+      "bytes": 287132,
+      "path": "data/dev/p84/oproofs-s00002-r00005948-n000004-0000-b05fb3b30b4fcada.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b05fb3b30b4fcada3fcf3deeef1393eb58b4139f34de1193056ab0be1585e691"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005952-n000004.json b/manifests/batches/oproofs/s00002-r00005952-n000004.json
index ab9179ab6b53b2dd24c1dc6d9b7cc4decb78b7ff..9b9be02ca420126d3f668b3ac22f70e75b03b992 100644
--- a/manifests/batches/oproofs/s00002-r00005952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005952-n000004",
   "batch_fingerprint": "fd7aaff4c025fe9a9296e7fd140a1097b0b278521105a1ae8091ce5e54f0732b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005952-n000004-0000-0d417e37bbc8f3fd.parquet",
-      "sha256": "0d417e37bbc8f3fdb41a7ba092a86c85034b6334536c3565383eddcace1b79f5",
-      "bytes": 245242,
-      "rows": 13,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005953.lean\",\"7ef4a5c197db82a59361b95113d4765531ecf73c1de656cd7170842cf3d07683\",0,\"lean_workbook_20272\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005954.lean\",\"8a8643ca88f1ad523e36d65744c8e89a7aea27a2806a8686807b8e85ba883cf9\",0,\"lean_workbook_plus_73996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005955.lean\",\"c128cf5f3c84e2675b9042d28a78010be783cb96ff4c73b5f88544a8c4fdf571\",0,\"power_log_comparison\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245242,
+      "path": "data/train/pb9/oproofs-s00002-r00005952-n000004-0000-0d417e37bbc8f3fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0d417e37bbc8f3fdb41a7ba092a86c85034b6334536c3565383eddcace1b79f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005956-n000004.json b/manifests/batches/oproofs/s00002-r00005956-n000004.json
index d85b95d35f9af7a3b5f92eef767b900ad3647107..3ea1c0a10913e2edd0165a98b762d3c793df74db 100644
--- a/manifests/batches/oproofs/s00002-r00005956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005956-n000004",
   "batch_fingerprint": "c080e9b80fea418a6ab4e18ed9cf9584c8e8aa7719a34df2ad424f56aa293e67",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005956-n000004-0000-9b24061e25feed37.parquet",
-      "sha256": "9b24061e25feed3752a59add45e96e90e022e8b88e385a76fb4f19044d2ea051",
-      "bytes": 134915,
-      "rows": 15,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005956-n000004-0000-6fc6a5e37c15a28b.parquet",
-      "sha256": "6fc6a5e37c15a28be8b053031cd73e03eab80e3a4cf941e3105b8d7cc1de98fa",
-      "bytes": 49366,
-      "rows": 4,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005957.lean\",\"d2d2433ad4f72a48f0055d3e73e3f9754c2f6fc3e5aeb76238144154baa658cd\",0,\"lean_workbook_plus_10650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005958.lean\",\"10eb804fc5af516d1e22a4a3efcc19445a8e4d4287e02525ee66e4e9d159d933\",0,\"lean_workbook_plus_55944\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005959.lean\",\"56d9c7774642ca37964d2927651488d35f06093beffa80cca1693f0c11e08056\",0,\"lean_workbook_plus_36139\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134915,
+      "path": "data/train/p10/oproofs-s00002-r00005956-n000004-0000-9b24061e25feed37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9b24061e25feed3752a59add45e96e90e022e8b88e385a76fb4f19044d2ea051"
+    },
+    {
+      "bytes": 49366,
+      "path": "data/internal_test/p10/oproofs-s00002-r00005956-n000004-0000-6fc6a5e37c15a28b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6fc6a5e37c15a28be8b053031cd73e03eab80e3a4cf941e3105b8d7cc1de98fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005960-n000004.json b/manifests/batches/oproofs/s00002-r00005960-n000004.json
index d2ced4b588fdc34cdcecf48d552fcdf8d3ff7119..3b894bff039674e51ded9a7d33bc50dd1fdc424e 100644
--- a/manifests/batches/oproofs/s00002-r00005960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005960-n000004",
   "batch_fingerprint": "c77fddd9e2f17604be666cee7eb4d85b5d4a2b3f58e261055ce6e53bbbd31764",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005960-n000004-0000-4cbdf0dee4f06660.parquet",
-      "sha256": "4cbdf0dee4f06660432957e61cb2fcb725b048cd550b366e8916c648ea804f5d",
-      "bytes": 325481,
-      "rows": 17,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005960-n000004-0000-132c512f6427047e.parquet",
-      "sha256": "132c512f6427047e9ab2487ee5889748a5e39da3526a018386d754ae0dcc2cf8",
-      "bytes": 43532,
-      "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005961.lean\",\"5d0a579741d25bab88c45b3f573212519a430ec04f50af9338e820ce39284143\",0,\"lean_workbook_50197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005962.lean\",\"1396bad0b7f6d2c1cde025d153aa9fea8b043326c93033e434b89cae333f13c3\",0,\"lean_workbook_plus_37961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005963.lean\",\"11f68e3e9472f348cd87acff7d68e28f629e5456ac4f38f1719aea8e5fd9b38a\",0,\"lean_workbook_plus_39491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325481,
+      "path": "data/train/p88/oproofs-s00002-r00005960-n000004-0000-4cbdf0dee4f06660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4cbdf0dee4f06660432957e61cb2fcb725b048cd550b366e8916c648ea804f5d"
+    },
+    {
+      "bytes": 43532,
+      "path": "data/internal_test/p88/oproofs-s00002-r00005960-n000004-0000-132c512f6427047e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "132c512f6427047e9ab2487ee5889748a5e39da3526a018386d754ae0dcc2cf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005964-n000004.json b/manifests/batches/oproofs/s00002-r00005964-n000004.json
index 00b00b15ddc141ba74ff849154e486c3eb3bc0c1..9dd84e47cc880c3dc12690b6deb24e9c055c21a1 100644
--- a/manifests/batches/oproofs/s00002-r00005964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005964-n000004",
   "batch_fingerprint": "4a1aa96e7dac8a561b274285fa61567dc925c8782cb3b34d61c876ea5108ebfd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005964-n000004-0000-15abfd4633b87ed1.parquet",
-      "sha256": "15abfd4633b87ed1da19668e3f57c7adbaa0d9765089b921030b207efb68ea03",
-      "bytes": 114389,
-      "rows": 9,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005964-n000004-0000-bb1bf8a4f6f2a010.parquet",
-      "sha256": "bb1bf8a4f6f2a0103c3191f731056ef007c691e1b7eb1d968ebbdb2fe913d3bf",
-      "bytes": 68167,
-      "rows": 6,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005965.lean\",\"049ce2004c1811017127b6f102092df6359ac89d2f6fbec812b8d75b5ea4d495\",0,\"lean_workbook_plus_14758\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005966.lean\",\"4e267a1b7e82a9e025ee413483f507c17015c076dcbf04f18b7db1153cb82664\",0,\"lean_workbook_plus_31077\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005967.lean\",\"fd6de8c4f32e82b137deaa0585e32332996bf4d2924d3f6f4a5d382bef85668b\",0,\"lean_workbook_plus_45329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114389,
+      "path": "data/train/pfe/oproofs-s00002-r00005964-n000004-0000-15abfd4633b87ed1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "15abfd4633b87ed1da19668e3f57c7adbaa0d9765089b921030b207efb68ea03"
+    },
+    {
+      "bytes": 68167,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00005964-n000004-0000-bb1bf8a4f6f2a010.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bb1bf8a4f6f2a0103c3191f731056ef007c691e1b7eb1d968ebbdb2fe913d3bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005968-n000004.json b/manifests/batches/oproofs/s00002-r00005968-n000004.json
index 6ca252e5670623a481504dccd1d5320d294fd3b2..5e2e61744f89c8da8dd5f5bf58f9dfad4fe1c014 100644
--- a/manifests/batches/oproofs/s00002-r00005968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005968-n000004",
   "batch_fingerprint": "0f6eff3d7dbb0b0bc6b460b06af63f81db479e8f9dfa8b22314f0e85a26cce95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005968-n000004-0000-416e0b2b82815887.parquet",
-      "sha256": "416e0b2b8281588700d1ee4d87dee706a4334cef04ae1f2e24c0f65617694a17",
-      "bytes": 163321,
-      "rows": 13,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5969",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005969.lean\",\"81bd593bd83d5497a02a7b6250164ec4d79c53749876453e680140b81e571464\",0,\"lean_workbook_plus_58131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005970.lean\",\"8e9f18246297849d39d86608321d34727943ce8ae0251e58eee9da0ea0adb8f0\",0,\"lean_workbook_plus_40823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005971.lean\",\"89d032244011591691e4c9a6fe29a62929e6ffa6f41b949f991a7faa9ef846dd\",0,\"lean_workbook_plus_13775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163321,
+      "path": "data/train/p91/oproofs-s00002-r00005968-n000004-0000-416e0b2b82815887.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "416e0b2b8281588700d1ee4d87dee706a4334cef04ae1f2e24c0f65617694a17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005972-n000004.json b/manifests/batches/oproofs/s00002-r00005972-n000004.json
index c1669c4522bf169651dab45b0c3b863cca264d80..2446b2ecc696ac015f45e3217bbbd526b3b8d010 100644
--- a/manifests/batches/oproofs/s00002-r00005972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005972-n000004",
   "batch_fingerprint": "3cf4da52ad3e45a885eb7cc483cd4498f86d01b045c1c734595c496c85900f4b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5972",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5973",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5974",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5975"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005972.lean\",\"5481a2b48278d24be1e08c42cd0f793dab0ce3e8f86ddd91756267fa5de7c34c\",0,\"lean_workbook_plus_13520\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005973.lean\",\"afce0ffff27b3be86e84a4629c7896d76fb36099cd32da8bfc8cd8986dce3823\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005974.lean\",\"1f074d8b26aa45a7224a3a32f426cee7e4bd9e415869ca0de32703c93c92461a\",0,\"lean_workbook_plus_19284\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005975.lean\",\"ec12fc3865d1926a87270154dc1950cf8fbb02890d7549e55ee3b5dc1820941a\",0,\"marble_selection_count\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005972-n000004-0000-d0e21c2dcb3b91c7.parquet",
-      "sha256": "d0e21c2dcb3b91c7cdf8c4447baa369164e0b1e20719eac10e8e9286ef2858fb",
       "bytes": 427021,
+      "path": "data/train/p4d/oproofs-s00002-r00005972-n000004-0000-d0e21c2dcb3b91c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "9ac5c58990b2ee3e6f0e2d2b85b12a793fa800d8"
+      "sha256": "d0e21c2dcb3b91c7cdf8c4447baa369164e0b1e20719eac10e8e9286ef2858fb"
     },
     {
-      "path": "data/train/oproofs-s00002-r00005972-n000004-0001-aa6390c9deb4b47d.parquet",
-      "sha256": "aa6390c9deb4b47d10a171697fee16126dfaa750c45f69d966ed9026275c1af4",
       "bytes": 615320,
+      "path": "data/train/p4d/oproofs-s00002-r00005972-n000004-0001-aa6390c9deb4b47d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9ac5c58990b2ee3e6f0e2d2b85b12a793fa800d8"
+      "sha256": "aa6390c9deb4b47d10a171697fee16126dfaa750c45f69d966ed9026275c1af4"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005972-n000004-0000-e20f23db1f78fdb7.parquet",
-      "sha256": "e20f23db1f78fdb70b1bc0e7cd2d473e4b27b681a2f64fd394db75894c5202d9",
       "bytes": 236352,
+      "path": "data/dev/p4d/oproofs-s00002-r00005972-n000004-0000-e20f23db1f78fdb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "9ac5c58990b2ee3e6f0e2d2b85b12a793fa800d8"
+      "sha256": "e20f23db1f78fdb70b1bc0e7cd2d473e4b27b681a2f64fd394db75894c5202d9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5972",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5973",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5974",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5975"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005972.lean\",\"5481a2b48278d24be1e08c42cd0f793dab0ce3e8f86ddd91756267fa5de7c34c\",0,\"lean_workbook_plus_13520\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005973.lean\",\"afce0ffff27b3be86e84a4629c7896d76fb36099cd32da8bfc8cd8986dce3823\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005974.lean\",\"1f074d8b26aa45a7224a3a32f426cee7e4bd9e415869ca0de32703c93c92461a\",0,\"lean_workbook_plus_19284\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005975.lean\",\"ec12fc3865d1926a87270154dc1950cf8fbb02890d7549e55ee3b5dc1820941a\",0,\"marble_selection_count\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005976-n000004.json b/manifests/batches/oproofs/s00002-r00005976-n000004.json
index 69ccfe59ebaaf265e81c53d1fea7aa20aba1812e..c79ff32da62d2cc9fa366b63fdaee83bcd3feacb 100644
--- a/manifests/batches/oproofs/s00002-r00005976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005976-n000004",
   "batch_fingerprint": "f53a029608d241358a29335b62f24b2910df3dc2ddf3ddb820f7f351b47299aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005976-n000004-0000-554802f5ba8089b5.parquet",
-      "sha256": "554802f5ba8089b521f1eb40268dacd426cceb778e8381be82ea43a4e2f2c74a",
-      "bytes": 132745,
-      "rows": 13,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005976-n000004-0000-3c199cb9fbe12927.parquet",
-      "sha256": "3c199cb9fbe12927f95269f3292ac219f526cf5878a2a8aa03d8feb0f9020c54",
-      "bytes": 66395,
-      "rows": 4,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5977",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005977.lean\",\"f15aa05b15c82e59fb59be44a5680e47de30ca814855003c1b0afdab116d5b9f\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005978.lean\",\"5c85bcf8d88389b2943b8bafa175199fcc08febcb6b6dc3a669d68ce38814c09\",0,\"lean_workbook_plus_12584\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005979.lean\",\"4150c3b718aea57d1099b69612a7399400fb93f798c6cbdb626339cfe1d0e497\",0,\"lean_workbook_38375\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132745,
+      "path": "data/train/p29/oproofs-s00002-r00005976-n000004-0000-554802f5ba8089b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "554802f5ba8089b521f1eb40268dacd426cceb778e8381be82ea43a4e2f2c74a"
+    },
+    {
+      "bytes": 66395,
+      "path": "data/internal_test/p29/oproofs-s00002-r00005976-n000004-0000-3c199cb9fbe12927.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3c199cb9fbe12927f95269f3292ac219f526cf5878a2a8aa03d8feb0f9020c54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005980-n000004.json b/manifests/batches/oproofs/s00002-r00005980-n000004.json
index 7b2f1f31b38283afbb778de8604083eb55d0d83b..8a86c0d39eabbe25d22de4312b960a364832f6e4 100644
--- a/manifests/batches/oproofs/s00002-r00005980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005980-n000004",
   "batch_fingerprint": "773c2fa0fbf752c97123c03e78a8ac3fe9acf2337c50444ef69d2d74edfe66ec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005980-n000004-0000-70cfbd7742674507.parquet",
-      "sha256": "70cfbd77426745071ff0426d66bc71a279c4f9942a9478cce57f2d442f396c6e",
-      "bytes": 204891,
-      "rows": 17,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005981.lean\",\"a6e4d6e8a87add84fdc42a83485cabdfd9b90f352982cc531393d88acd340653\",0,\"lean_workbook_plus_65822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005982.lean\",\"acedf9c45420c77fcdb4b710a5ca723210826465dda89ab0553bb66428654c52\",0,\"lean_workbook_plus_17417\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005983.lean\",\"73649c01a5df64c638af9acb8fe05b8e797aa53a4ce45a119726d44670c7a54a\",0,\"lean_workbook_plus_77432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204891,
+      "path": "data/train/p5a/oproofs-s00002-r00005980-n000004-0000-70cfbd7742674507.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "70cfbd77426745071ff0426d66bc71a279c4f9942a9478cce57f2d442f396c6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005984-n000004.json b/manifests/batches/oproofs/s00002-r00005984-n000004.json
index 5925c9ab92963657e85bfbff06ff76884d9dbd7e..e4d7e6ca87679c75f5a28f2c42c63d3a3cbd2328 100644
--- a/manifests/batches/oproofs/s00002-r00005984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005984-n000004",
   "batch_fingerprint": "2f21c3da64f68be2ee0951259ba953b8be1934cc19a95f78d00ac82d7e6f636c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005984-n000004-0000-eda48fd1defd7675.parquet",
-      "sha256": "eda48fd1defd7675f2100852b11bcacf53326aedcfe43b6edd11ceb9ac153c61",
-      "bytes": 239436,
-      "rows": 17,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005985.lean\",\"5c8591ff0eea4a0766723eb9c917231d53a6207c70876bee36e95ae7b6b41d5d\",0,\"decimal_ordering\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005986.lean\",\"d3b6e06e155c41f824ac67dd95a5206cf5f1eb55e7a74857a1d68caa15a089f2\",0,\"lean_workbook_plus_24569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005987.lean\",\"ddc5c571f3a759da9dc1bd7f3fe5a4230c4a5706057b60994732fd0d0b95094c\",0,\"lean_workbook_plus_25760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239436,
+      "path": "data/train/p2d/oproofs-s00002-r00005984-n000004-0000-eda48fd1defd7675.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "eda48fd1defd7675f2100852b11bcacf53326aedcfe43b6edd11ceb9ac153c61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005988-n000004.json b/manifests/batches/oproofs/s00002-r00005988-n000004.json
index 6878afbe2cb53561659e0c50fbb02183989c9a68..4066223926e9338509f57d67a276a2129be12557 100644
--- a/manifests/batches/oproofs/s00002-r00005988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005988-n000004",
   "batch_fingerprint": "a809cd82a1afd4dbad602f7fd9827677d8595dda0bc4ddf15f872ebebf1bb115",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5988",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5989",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5990",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5991"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005988.lean\",\"af4ff891c63d32f81421decd18932002e79c94ae3fba695f8a673fc62c20445f\",0,\"lean_workbook_plus_56383\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005989.lean\",\"b818b7d61175b01ea8e9191580937e48299d14f91ce9251926fc827c9300a367\",0,\"lean_workbook_43597\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005990.lean\",\"0834ef8e19c24766878ec394d6c5a832ddbc1165f24a784a91df6fe917a4d7cb\",0,\"lean_workbook_plus_35550\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005991.lean\",\"427b097472ea6a81e5dd3c347fa2f6f96612111034d7902a2db8e853bd5d6dfb\",0,\"lean_workbook_1939\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005988-n000004-0000-07f0b6a703fc8bf9.parquet",
-      "sha256": "07f0b6a703fc8bf95538e5bc0fbcaf0b058a98d370dbef05ba063d1dddc277ff",
       "bytes": 181054,
+      "path": "data/train/p95/oproofs-s00002-r00005988-n000004-0000-07f0b6a703fc8bf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "07f0b6a703fc8bf95538e5bc0fbcaf0b058a98d370dbef05ba063d1dddc277ff"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005988-n000004-0000-272514571fdbd842.parquet",
-      "sha256": "272514571fdbd842160a2cbe8f2d47d62c7e3050e5f8a6a31657ebed2d86bbc9",
       "bytes": 50309,
+      "path": "data/dev/p95/oproofs-s00002-r00005988-n000004-0000-272514571fdbd842.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "272514571fdbd842160a2cbe8f2d47d62c7e3050e5f8a6a31657ebed2d86bbc9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005988-n000004-0000-790f4821888662bf.parquet",
-      "sha256": "790f4821888662bf890e527acd6aa10741c4fad02bca40b97a57adbc419ba521",
       "bytes": 86727,
+      "path": "data/internal_test/p95/oproofs-s00002-r00005988-n000004-0000-790f4821888662bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "790f4821888662bf890e527acd6aa10741c4fad02bca40b97a57adbc419ba521"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5988",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5989",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5990",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5991"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005988.lean\",\"af4ff891c63d32f81421decd18932002e79c94ae3fba695f8a673fc62c20445f\",0,\"lean_workbook_plus_56383\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005989.lean\",\"b818b7d61175b01ea8e9191580937e48299d14f91ce9251926fc827c9300a367\",0,\"lean_workbook_43597\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005990.lean\",\"0834ef8e19c24766878ec394d6c5a832ddbc1165f24a784a91df6fe917a4d7cb\",0,\"lean_workbook_plus_35550\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005991.lean\",\"427b097472ea6a81e5dd3c347fa2f6f96612111034d7902a2db8e853bd5d6dfb\",0,\"lean_workbook_1939\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005992-n000004.json b/manifests/batches/oproofs/s00002-r00005992-n000004.json
index 81c62c74810ea49b3152d6203a71cc09e2466768..780e11cb5acd191bad47e087ec2db8d139870ed5 100644
--- a/manifests/batches/oproofs/s00002-r00005992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005992-n000004",
   "batch_fingerprint": "4b621667aba869b7fd541dd09e5f4ff3a17efb018aa6da4d450cd50cc79c148c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00005992-n000004-0000-0e0eb7e978ef7ae2.parquet",
-      "sha256": "0e0eb7e978ef7ae2c573a3379d84a1025413398ff0f1eb1309f2ba29b2c59581",
-      "bytes": 251939,
-      "rows": 21,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00005992-n000004-0000-dcc42ad1daefc0bb.parquet",
-      "sha256": "dcc42ad1daefc0bba4731ff4c253aee7ca70748d7644a5e8857e39853227b6a9",
-      "bytes": 123805,
-      "rows": 7,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005993.lean\",\"6c5afeb0cf484369ffac8a01815c1f1209b73695374d9344ca485b36b4700f0a\",0,\"lean_workbook_plus_57334\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005994.lean\",\"4227df659a27206e46f49df3485f347ab838aeb90fb1d377fefad3cc425bae2d\",0,\"lean_workbook_23829\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005995.lean\",\"e08db8eb8ccc8ff79b93ac0a56d73f0f326495d381970c880d08e4464d1910a2\",0,\"lean_workbook_plus_64809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251939,
+      "path": "data/train/p34/oproofs-s00002-r00005992-n000004-0000-0e0eb7e978ef7ae2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0e0eb7e978ef7ae2c573a3379d84a1025413398ff0f1eb1309f2ba29b2c59581"
+    },
+    {
+      "bytes": 123805,
+      "path": "data/internal_test/p34/oproofs-s00002-r00005992-n000004-0000-dcc42ad1daefc0bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "dcc42ad1daefc0bba4731ff4c253aee7ca70748d7644a5e8857e39853227b6a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00005996-n000004.json b/manifests/batches/oproofs/s00002-r00005996-n000004.json
index e9baaf45f98a0391ad788db069996872b212dece..4494d5174194316365ca913ba4105c742991b2d4 100644
--- a/manifests/batches/oproofs/s00002-r00005996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00005996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00005996-n000004",
   "batch_fingerprint": "dc9f36565c8a16d69a73c5e923fea2357f4ec87357c46bfa8dd6426be1dfc3b5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5996",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5997",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5998",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5999"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005996.lean\",\"a28cd8b95baefbb58a928ec15394a7927777be58f52ea9712a275f3f70b0f352\",0,\"lean_workbook_plus_64700\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005997.lean\",\"66d3250a2fb21e5cf773d8cc07a074bd055d6a54a5e9160661f45ba926a66a23\",0,\"lean_workbook_plus_81169\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005998.lean\",\"941ef13ca564b3efb2728dc5a3dddf898719cfb0609b8001016a77a1e312e00f\",0,\"lean_workbook_plus_23258\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005999.lean\",\"771d4452fec6bf0e6a09f6261a875be6e2f81acc560e4766912318c6dbfa2c28\",0,\"lean_workbook_plus_45212\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00005996-n000004-0000-13a8dac81b157cf7.parquet",
-      "sha256": "13a8dac81b157cf7cd616e2ec6f103ec1316e79467d3ef1753b858bea5dbdfee",
       "bytes": 178105,
+      "path": "data/train/p28/oproofs-s00002-r00005996-n000004-0000-13a8dac81b157cf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "13a8dac81b157cf7cd616e2ec6f103ec1316e79467d3ef1753b858bea5dbdfee"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00005996-n000004-0000-63d9b5aecdd7c207.parquet",
-      "sha256": "63d9b5aecdd7c207e4048b23b27fed6b83ba1a24e181b6cfc7721d43882ac9f2",
       "bytes": 42545,
+      "path": "data/dev/p28/oproofs-s00002-r00005996-n000004-0000-63d9b5aecdd7c207.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "63d9b5aecdd7c207e4048b23b27fed6b83ba1a24e181b6cfc7721d43882ac9f2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00005996-n000004-0000-94429928578570a3.parquet",
-      "sha256": "94429928578570a37fe875de425069e79fc02e27f32e3888330950364f52d8ab",
       "bytes": 79878,
+      "path": "data/internal_test/p28/oproofs-s00002-r00005996-n000004-0000-94429928578570a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
+      "sha256": "94429928578570a37fe875de425069e79fc02e27f32e3888330950364f52d8ab"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5996",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5997",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5998",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:5999"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005996.lean\",\"a28cd8b95baefbb58a928ec15394a7927777be58f52ea9712a275f3f70b0f352\",0,\"lean_workbook_plus_64700\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005997.lean\",\"66d3250a2fb21e5cf773d8cc07a074bd055d6a54a5e9160661f45ba926a66a23\",0,\"lean_workbook_plus_81169\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005998.lean\",\"941ef13ca564b3efb2728dc5a3dddf898719cfb0609b8001016a77a1e312e00f\",0,\"lean_workbook_plus_23258\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_005999.lean\",\"771d4452fec6bf0e6a09f6261a875be6e2f81acc560e4766912318c6dbfa2c28\",0,\"lean_workbook_plus_45212\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006000-n000004.json b/manifests/batches/oproofs/s00002-r00006000-n000004.json
index 34de7ca25daae7794ea517adab4be2c8b017f32f..6e6f3e7109459df5dc9683d6d2aa5f05ec808a94 100644
--- a/manifests/batches/oproofs/s00002-r00006000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006000-n000004",
   "batch_fingerprint": "da2c4eb5dc68f33dd3df49c802e5ec58bc291cea6fe1850b19f1226249d4a672",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006000-n000004-0000-3fa7d9b95c0b65d6.parquet",
-      "sha256": "3fa7d9b95c0b65d617cd15e2c0e329a613dadcdd401e9ed4be78382c16cc6ac3",
-      "bytes": 778489,
-      "rows": 22,
-      "revision": "9ac5c58990b2ee3e6f0e2d2b85b12a793fa800d8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006001.lean\",\"a865d08879fdffb9775f95b659ded5934a122913f216a05230ac74e84c93ccf6\",0,\"lean_workbook_plus_59337\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006002.lean\",\"d34bc560c41b64295720c7dd0242960d4b09941a7ac730310471ca36d3df1b96\",0,\"meal_distribution_one_correct\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006003.lean\",\"e4b010f20beb2c5bded863beea56962a38d2dcfc8c8eb83ebf7d0aeaff3e420e\",0,\"lean_workbook_plus_6935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 778489,
+      "path": "data/train/pdc/oproofs-s00002-r00006000-n000004-0000-3fa7d9b95c0b65d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3fa7d9b95c0b65d617cd15e2c0e329a613dadcdd401e9ed4be78382c16cc6ac3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006004-n000004.json b/manifests/batches/oproofs/s00002-r00006004-n000004.json
index 269eab95c49c2b4df9edae917b70a5188ed18df8..2b0db3989e5cdf17f3ecead1bbefa253117e653a 100644
--- a/manifests/batches/oproofs/s00002-r00006004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006004-n000004",
   "batch_fingerprint": "13ef1fad725855769d80b3e5525418248d6fcc17f28b500e9d752047efced1fe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006004-n000004-0000-fbde1feda3489145.parquet",
-      "sha256": "fbde1feda3489145ad790049f5f9f51aef3f2b628ec6852bcb0dab90e4116b92",
-      "bytes": 167028,
-      "rows": 14,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006004-n000004-0000-6d0d5aefb8941bd6.parquet",
-      "sha256": "6d0d5aefb8941bd641c5cbd37f86d40f8a71a48eb3c89b0a9facbe86f8716766",
-      "bytes": 51617,
-      "rows": 5,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006005.lean\",\"709d0f9bfb55eab84ef12899a5fbca77ab4343f72e764a02ad96c4fc8bb25cb9\",0,\"lean_workbook_plus_14469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006006.lean\",\"10829f892c9b09b111186d67018b3bcb524ff55d5dca40bd78c2e6e205397ea4\",0,\"lean_workbook_plus_64831\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006007.lean\",\"26a5a1e526a732e7567b44c1821e7c4b9e2a773671126d6f71eef391aaf0e799\",0,\"lean_workbook_plus_62146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167028,
+      "path": "data/train/pf9/oproofs-s00002-r00006004-n000004-0000-fbde1feda3489145.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fbde1feda3489145ad790049f5f9f51aef3f2b628ec6852bcb0dab90e4116b92"
+    },
+    {
+      "bytes": 51617,
+      "path": "data/internal_test/pf9/oproofs-s00002-r00006004-n000004-0000-6d0d5aefb8941bd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6d0d5aefb8941bd641c5cbd37f86d40f8a71a48eb3c89b0a9facbe86f8716766"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006008-n000004.json b/manifests/batches/oproofs/s00002-r00006008-n000004.json
index 1d957d88eb427df08fe0c289809f3def424209d4..44ceaefaecc1a56dba089f16025fa1a147aa4a23 100644
--- a/manifests/batches/oproofs/s00002-r00006008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006008-n000004",
   "batch_fingerprint": "79e88ac7d0cea743d45776ee3703a35c6cbb4eb5f6c7529f784db0a047b725a3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006008-n000004-0000-ea82d0703308cc88.parquet",
-      "sha256": "ea82d0703308cc8828eca714269dbff4c3488055286e63bece78722c4601f310",
-      "bytes": 268469,
-      "rows": 15,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006008-n000004-0000-395ed591318aaaa8.parquet",
-      "sha256": "395ed591318aaaa8bb0a05b0d5d6928c8623fe728ddd35364bd3e38ad4c1167f",
-      "bytes": 177586,
-      "rows": 7,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006009.lean\",\"200d7fb643626786065577e243bb278ea14acfdfe149330d3d97ab974778da5f\",0,\"RealIrrational\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006010.lean\",\"f0055418df2ae3c7e367a018dfab707fbca2184e02b4a24bccb0e528b3694b9b\",0,\"sum_harmonic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006011.lean\",\"46817c178cb00e23c37c874cf0ef31540e85a4f66893eb128e4a89a4fdda74b4\",0,\"RealSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268469,
+      "path": "data/train/p50/oproofs-s00002-r00006008-n000004-0000-ea82d0703308cc88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ea82d0703308cc8828eca714269dbff4c3488055286e63bece78722c4601f310"
+    },
+    {
+      "bytes": 177586,
+      "path": "data/internal_test/p50/oproofs-s00002-r00006008-n000004-0000-395ed591318aaaa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "395ed591318aaaa8bb0a05b0d5d6928c8623fe728ddd35364bd3e38ad4c1167f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006012-n000004.json b/manifests/batches/oproofs/s00002-r00006012-n000004.json
index 2c295fd6013377c9210203204743834958e2e26a..1fd4e02409d17366005fec1a56e19dd342c8c0e7 100644
--- a/manifests/batches/oproofs/s00002-r00006012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006012-n000004",
   "batch_fingerprint": "fe7d8867f8b907153806c9a18e9b18221f841a79b38fc12914a65a35a562e9ff",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006012-n000004-0000-233a0da699d4394d.parquet",
-      "sha256": "233a0da699d4394deb9d9803bb85e36606c6bdb17b9b766107cd148d16156711",
-      "bytes": 210516,
-      "rows": 8,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006012-n000004-0000-53e0e36ef4b5faed.parquet",
-      "sha256": "53e0e36ef4b5faedd0d3395a268d51bf27e6f2884a62e902251f440b7441da91",
-      "bytes": 111206,
-      "rows": 8,
-      "revision": "4047a24b00cc13f13d2618ea4dff0bedcc3f040d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006013.lean\",\"390e38c016c93d9a0c6247a6f8bedfdb498a71b177422afd6c4d440a3ad9e12a\",0,\"lean_workbook_plus_29102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006014.lean\",\"477373711ed618865e0393ac04b67cf0fffa1084977ebbe5a652149b2a5f428d\",0,\"lean_workbook_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006015.lean\",\"94e157a56baed6e33d73963b4f8f8202ce04d99f078f99deb494caa92bfe2690\",0,\"lean_workbook_plus_31882\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210516,
+      "path": "data/train/pa2/oproofs-s00002-r00006012-n000004-0000-233a0da699d4394d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "233a0da699d4394deb9d9803bb85e36606c6bdb17b9b766107cd148d16156711"
+    },
+    {
+      "bytes": 111206,
+      "path": "data/dev/pa2/oproofs-s00002-r00006012-n000004-0000-53e0e36ef4b5faed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "53e0e36ef4b5faedd0d3395a268d51bf27e6f2884a62e902251f440b7441da91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006016-n000004.json b/manifests/batches/oproofs/s00002-r00006016-n000004.json
index edde4130d5618836a17daf317dc359c8664e245e..5652a77b43d4c821c7c11ae4aa21ac58be8a524d 100644
--- a/manifests/batches/oproofs/s00002-r00006016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006016-n000004",
   "batch_fingerprint": "f41f5a8c798a5cf545cf5776fcbb56bb0fd7a86517b20369e6ade84f2ff2975a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006016-n000004-0000-a9e12903824148b4.parquet",
-      "sha256": "a9e12903824148b487ceabe4f3993491e474678e688ba25d01e09d9239fa121f",
-      "bytes": 316812,
-      "rows": 14,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006016-n000004-0000-271f6d53345d10bb.parquet",
-      "sha256": "271f6d53345d10bbdd0ee6b6c9af37b89b262f6f4eeed34a7d74acb2fb523cf1",
-      "bytes": 252053,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006017.lean\",\"fed82c48d3d5ae540716a58b178b68fb769d3924e8ddc6b97f914c9da3d2ae4a\",0,\"lean_workbook_plus_5204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006018.lean\",\"bcca52d408871e241ae447c09bcbce082b317e264e60b1e8e67355072e78652c\",0,\"lean_workbook_plus_73996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006019.lean\",\"b7d428e7278ea79036241ffdb5b8b05c4aca8a647745eaed4c27bb90520daa4c\",0,\"lean_workbook_20272\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316812,
+      "path": "data/train/p8e/oproofs-s00002-r00006016-n000004-0000-a9e12903824148b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a9e12903824148b487ceabe4f3993491e474678e688ba25d01e09d9239fa121f"
+    },
+    {
+      "bytes": 252053,
+      "path": "data/dev/p8e/oproofs-s00002-r00006016-n000004-0000-271f6d53345d10bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "271f6d53345d10bbdd0ee6b6c9af37b89b262f6f4eeed34a7d74acb2fb523cf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006020-n000004.json b/manifests/batches/oproofs/s00002-r00006020-n000004.json
index 9d332f09b3bd120c3e15050ded03b3324f762436..d9ff0c44e443e1f220ab4e67573bebe3eeb34e5e 100644
--- a/manifests/batches/oproofs/s00002-r00006020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006020-n000004",
   "batch_fingerprint": "2b5bcbefd13d984377157ad38456506154ba954b7088f0c56d47767c40598858",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006020-n000004-0000-41bd9527429ea460.parquet",
-      "sha256": "41bd9527429ea4605f8697eb11f1a3d086060ae2c1b44afffe2ba85e70d329dd",
-      "bytes": 258256,
-      "rows": 14,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006020-n000004-0000-5414bb0613a20c19.parquet",
-      "sha256": "5414bb0613a20c19c7f9dcbec1881f8c47a707851795586bc8c8321c123fab63",
-      "bytes": 50877,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006021.lean\",\"8cd17f4c45f2ec6d21581832f2412a33c50951eef7815af38a3f1a41aa6888ef\",0,\"lean_workbook_plus_51349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006022.lean\",\"9d943cc38c65f5909975862bc4c3ccc17e3435888f976f777145516176cf5f56\",0,\"lean_workbook_plus_10650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006023.lean\",\"8d49ac33e64f6a93b5b58fb9d40d4e9cb49991ee8a6cf4591e01fc1cbe01ada5\",0,\"lean_workbook_plus_55944\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258256,
+      "path": "data/train/p9e/oproofs-s00002-r00006020-n000004-0000-41bd9527429ea460.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "41bd9527429ea4605f8697eb11f1a3d086060ae2c1b44afffe2ba85e70d329dd"
+    },
+    {
+      "bytes": 50877,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00006020-n000004-0000-5414bb0613a20c19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5414bb0613a20c19c7f9dcbec1881f8c47a707851795586bc8c8321c123fab63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006024-n000004.json b/manifests/batches/oproofs/s00002-r00006024-n000004.json
index 282cb2c77b4083b796d6a494732a590d3cb4be2e..f4eba27118464fa3bd648a3333dcdfa4257a65bb 100644
--- a/manifests/batches/oproofs/s00002-r00006024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006024-n000004",
   "batch_fingerprint": "2a0f3faf7a00c04b1f633ae266de7ce1ad7b167fabce8a5c12d3c2f1a54767e6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006024-n000004-0000-c116df26e43933fb.parquet",
-      "sha256": "c116df26e43933fb858b5f95acfeb94407e7a77b950e5600327992393a1d390b",
-      "bytes": 242629,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006024-n000004-0000-e231ef91a94f68ea.parquet",
-      "sha256": "e231ef91a94f68ea077a7a64907017e4e0e555070e8486f79cf1604f954b4edf",
-      "bytes": 51647,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006025.lean\",\"124b9f88bd6216be183b1b3505b19709b9ee37b0466bd25f2421bb391aa17140\",0,\"lean_workbook_plus_76089\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006026.lean\",\"dc9f53d86ac9a10a71dc2dbb24fe64b2657b975d32a3d0fc81129960670e374d\",0,\"lean_workbook_plus_78206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006027.lean\",\"624dd92f3b46c50cf870548fcf6010ab43c2433399b59a675ee794b020a8e50c\",0,\"lean_workbook_plus_39491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242629,
+      "path": "data/train/p2b/oproofs-s00002-r00006024-n000004-0000-c116df26e43933fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c116df26e43933fb858b5f95acfeb94407e7a77b950e5600327992393a1d390b"
+    },
+    {
+      "bytes": 51647,
+      "path": "data/internal_test/p2b/oproofs-s00002-r00006024-n000004-0000-e231ef91a94f68ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e231ef91a94f68ea077a7a64907017e4e0e555070e8486f79cf1604f954b4edf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006028-n000004.json b/manifests/batches/oproofs/s00002-r00006028-n000004.json
index f9bfd4dbfe1e296399cddbbda4d0f75bb161ffed..73dfdafb60be33519728996ff399ba80bf65f830 100644
--- a/manifests/batches/oproofs/s00002-r00006028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006028-n000004",
   "batch_fingerprint": "848b146e0ab3ff61bf4067aaf49070ce6aaa86884a35dab1d6d1caaab1b4cb18",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006028-n000004-0000-ab0b7266f3c53840.parquet",
-      "sha256": "ab0b7266f3c53840ac3650ff3e86302a373039c6d9b63923275846ee4f1b5b54",
-      "bytes": 184539,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006028-n000004-0000-a9187255340ab211.parquet",
-      "sha256": "a9187255340ab211344ebb70e3330a7a030528af7c4e65fa452340ef42144998",
-      "bytes": 85788,
-      "rows": 2,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006029.lean\",\"b68d1f8a94c1a0d76baa693e1f3b9c9c557c62de03e6f2dd8d01f577a857c1be\",0,\"lean_workbook_plus_29163\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006030.lean\",\"58e4337b4ab60694269e72993c889318d1cecea6cc8ad59282a07c0f86a7c82a\",0,\"lean_workbook_plus_53580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006031.lean\",\"92851ef8eb0a50fb8633ecd7300ae6e8cc034854b71188c97e8906e9c9ea3d45\",0,\"lean_workbook_plus_14758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184539,
+      "path": "data/train/p0d/oproofs-s00002-r00006028-n000004-0000-ab0b7266f3c53840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ab0b7266f3c53840ac3650ff3e86302a373039c6d9b63923275846ee4f1b5b54"
+    },
+    {
+      "bytes": 85788,
+      "path": "data/internal_test/p0d/oproofs-s00002-r00006028-n000004-0000-a9187255340ab211.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a9187255340ab211344ebb70e3330a7a030528af7c4e65fa452340ef42144998"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006032-n000004.json b/manifests/batches/oproofs/s00002-r00006032-n000004.json
index d463b623daa49fd3cc88bdf39a2e7403d99ef39e..2b2f58dad8fe3f6160bed9f2980e0001f7ad1327 100644
--- a/manifests/batches/oproofs/s00002-r00006032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006032-n000004",
   "batch_fingerprint": "b82da9b317a1e894e32a39346684f27c2744bdf0a4154e04083a52cc23d832cc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006032-n000004-0000-1abe54f5d1810c29.parquet",
-      "sha256": "1abe54f5d1810c29ab5e63c9843c6c8f526cd4e2a658ba11a6a4939994b5c3fc",
-      "bytes": 377459,
-      "rows": 10,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006032-n000004-0000-a0812c99f1a5a724.parquet",
-      "sha256": "a0812c99f1a5a72417e4a6a22a508cb1a230d3466710d774db9eeea3e2b30b30",
-      "bytes": 58401,
-      "rows": 5,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006033.lean\",\"2a74688ce425ed0b85638d9c56578c0bf77eca662ee14bf4786c8e7207e7632e\",0,\"lean_workbook_plus_29348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006034.lean\",\"52f9974a0f21b8e1b1c3c2663bc535f88c1c7dc7e7a0973323d10fb3886b703a\",0,\"lean_workbook_plus_45329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006035.lean\",\"fa75bc04ad6e866a8574157f667c7f72781c3236f99268c2f33a72d28fbea12a\",0,\"lean_workbook_plus_76507\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 377459,
+      "path": "data/train/pfe/oproofs-s00002-r00006032-n000004-0000-1abe54f5d1810c29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1abe54f5d1810c29ab5e63c9843c6c8f526cd4e2a658ba11a6a4939994b5c3fc"
+    },
+    {
+      "bytes": 58401,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00006032-n000004-0000-a0812c99f1a5a724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a0812c99f1a5a72417e4a6a22a508cb1a230d3466710d774db9eeea3e2b30b30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006036-n000004.json b/manifests/batches/oproofs/s00002-r00006036-n000004.json
index dcae2e8705ca429e8ba371414497ba36ec168bbb..fea25dc26214e24b1a1ed519d4ab09ae06e93e06 100644
--- a/manifests/batches/oproofs/s00002-r00006036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006036-n000004",
   "batch_fingerprint": "d75eb99d518b2a488d59ecbad666cbf19e7c4d4ae91e16b0d8c195fb04016aaa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006036-n000004-0000-231a394a9ff952df.parquet",
-      "sha256": "231a394a9ff952df5800f89c6e4842a1c3c86eaff0925890d9b42027c54c8a1e",
-      "bytes": 654426,
-      "rows": 15,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006037.lean\",\"e8b99a0dd0c2c48da36c7e5e4c90ea584b396823805d7bf2facc078fa4bb23ce\",0,\"lean_workbook_plus_40823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006038.lean\",\"71f9d4d61801b4f33acb9ade66806bc18880d4d7645a28c03924a7bce1db7e5f\",0,\"lean_workbook_plus_58131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006039.lean\",\"722ab835821131c4942e3c98bb33ac7834a0f81f879a9605a3b425f82556192d\",0,\"lean_workbook_plus_13775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 654426,
+      "path": "data/train/pe6/oproofs-s00002-r00006036-n000004-0000-231a394a9ff952df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "231a394a9ff952df5800f89c6e4842a1c3c86eaff0925890d9b42027c54c8a1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006040-n000004.json b/manifests/batches/oproofs/s00002-r00006040-n000004.json
index f4782e3710351034e983c5e0263587d9469c3a92..7e049babf991bca4027235be264e9f01302eeb8f 100644
--- a/manifests/batches/oproofs/s00002-r00006040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006040-n000004",
   "batch_fingerprint": "65252d563ff9fa6e30d4d08c07a7adc43ced82f0fa27654553ac55563651c621",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006040-n000004-0000-7040f528370e5d20.parquet",
-      "sha256": "7040f528370e5d2032744a46fedd36e584c38d50eb24155b33eb99be1e938de6",
-      "bytes": 734152,
-      "rows": 23,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006041.lean\",\"9c893ce84b49716dfe814a1a522d80f98e206dad1b94b1583d815ca4ce9ad58a\",0,\"lean_workbook_plus_13520\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006042.lean\",\"2d3bf0e922a39d05f67c74944fee3e33b28989dc559210ab2317f490242ecb43\",0,\"marble_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006043.lean\",\"ef4678f8f025975e09e59c32b2a63fed3f005c9c6b992b15c4c6664ba93b6a54\",0,\"lean_workbook_17322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734152,
+      "path": "data/train/pad/oproofs-s00002-r00006040-n000004-0000-7040f528370e5d20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7040f528370e5d2032744a46fedd36e584c38d50eb24155b33eb99be1e938de6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006044-n000004.json b/manifests/batches/oproofs/s00002-r00006044-n000004.json
index d79b424b5cc0602ece6e7a49b01316405f4c33df..4517013c545b4ed5735109fc4a3e3bed65a4d9e7 100644
--- a/manifests/batches/oproofs/s00002-r00006044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006044-n000004",
   "batch_fingerprint": "498be51a71008958bb8faf483de54b77006c5c6cf73a6f601c07566ed3a7f10d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6044",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6045",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6046",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6047"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006044.lean\",\"c47ce3184b601edcce8adc7a9debe3d995194d361205b1a0d5687a44ae939ebe\",0,\"lean_workbook_plus_12584\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006045.lean\",\"570bf8eb56fe844c1e8c126e2a518c4e110117c00db2d0f2f144eb8b677726d1\",0,\"lean_workbook_38375\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006046.lean\",\"c3b9ba92d29db1211c850789cc8e55beae932562522f5d5fb97b239d5dd99521\",0,\"lean_workbook_plus_65822\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006047.lean\",\"fef8343187c909f4ee0ac2808847d63cf976e137932db0ec8f79d525dc6973bf\",0,\"lean_workbook_plus_19284\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006044-n000004-0000-8a5d226218ac0a16.parquet",
-      "sha256": "8a5d226218ac0a1660458befa85a1a78e8e06277059d0a45163c8e00dfdd0640",
       "bytes": 115548,
+      "path": "data/train/p3a/oproofs-s00002-r00006044-n000004-0000-8a5d226218ac0a16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "8a5d226218ac0a1660458befa85a1a78e8e06277059d0a45163c8e00dfdd0640"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006044-n000004-0000-5dbcfa3ff62d9c36.parquet",
-      "sha256": "5dbcfa3ff62d9c365ad78259c837143410b5ca72561253103802f7e01e2d5876",
       "bytes": 203815,
+      "path": "data/dev/p3a/oproofs-s00002-r00006044-n000004-0000-5dbcfa3ff62d9c36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "5dbcfa3ff62d9c365ad78259c837143410b5ca72561253103802f7e01e2d5876"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006044-n000004-0000-071dee41e6056547.parquet",
-      "sha256": "071dee41e6056547c5410c74554a6cafadc867c0a4b7cfef3e10aa228461825f",
       "bytes": 45234,
+      "path": "data/internal_test/p3a/oproofs-s00002-r00006044-n000004-0000-071dee41e6056547.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "071dee41e6056547c5410c74554a6cafadc867c0a4b7cfef3e10aa228461825f"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6044",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6045",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6046",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6047"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006044.lean\",\"c47ce3184b601edcce8adc7a9debe3d995194d361205b1a0d5687a44ae939ebe\",0,\"lean_workbook_plus_12584\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006045.lean\",\"570bf8eb56fe844c1e8c126e2a518c4e110117c00db2d0f2f144eb8b677726d1\",0,\"lean_workbook_38375\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006046.lean\",\"c3b9ba92d29db1211c850789cc8e55beae932562522f5d5fb97b239d5dd99521\",0,\"lean_workbook_plus_65822\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006047.lean\",\"fef8343187c909f4ee0ac2808847d63cf976e137932db0ec8f79d525dc6973bf\",0,\"lean_workbook_plus_19284\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006048-n000004.json b/manifests/batches/oproofs/s00002-r00006048-n000004.json
index 7489fa2292df157d0d7c63f641d68e5cd739b5f1..cf44d6bf8d4916dacefc8627e8d22a70a543e1a3 100644
--- a/manifests/batches/oproofs/s00002-r00006048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006048-n000004",
   "batch_fingerprint": "1aafa262ccad8f6a49552ac972b0d4d6e4f345c781f857775f124525dce60d56",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006048-n000004-0000-3eda9111e5503a3c.parquet",
-      "sha256": "3eda9111e5503a3cb92081619a5305c01e7a5a14a9f98d3b1e0d3f1636888391",
-      "bytes": 183536,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6049",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006049.lean\",\"f6170e1ac193f5f0cd1bac9f6f84c4d56ff525e63464cfd981ac7fd09aba3376\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006050.lean\",\"5676b56a5470d800f53fd66c00bdcf7b1cfb117805d70f73cb6f41f85a12a263\",0,\"bathing_suits_combinations\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006051.lean\",\"0ee4d211806df5000ac010dea288fb89b4c06c4651460e5c23322eca767fa2a3\",0,\"lean_workbook_plus_77432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183536,
+      "path": "data/train/pb6/oproofs-s00002-r00006048-n000004-0000-3eda9111e5503a3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3eda9111e5503a3cb92081619a5305c01e7a5a14a9f98d3b1e0d3f1636888391"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006052-n000004.json b/manifests/batches/oproofs/s00002-r00006052-n000004.json
index 831df196b943c6347c1bc27295c5f6c942fc493c..556dfebe538653b5f1ad8d10733b84d2b627ce27 100644
--- a/manifests/batches/oproofs/s00002-r00006052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006052-n000004",
   "batch_fingerprint": "1bccc1a52856cc399a180d2ba612e9fe20efe0d8343016482202f8b4254f6899",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006052-n000004-0000-f0926c24e60c2982.parquet",
-      "sha256": "f0926c24e60c2982eaca2b6de7ca83eda14286a7737a6b36eece55263e6d81cc",
-      "bytes": 131613,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006053.lean\",\"510e9c739878564a20ae843f07c30ac2bf96bda5981ac513cee344f1253ad549\",0,\"lean_workbook_plus_76131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006054.lean\",\"182e8aa060e11c2366ea9c9e9e9f31ff7386241245d29808bce6c11cdc53777c\",0,\"lean_workbook_plus_62094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006055.lean\",\"77b6735de1b38014aa0d3dd49a4066790de0ae176cb5c563402e76d8bf9bce1b\",0,\"decimal_ordering\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131613,
+      "path": "data/train/pec/oproofs-s00002-r00006052-n000004-0000-f0926c24e60c2982.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f0926c24e60c2982eaca2b6de7ca83eda14286a7737a6b36eece55263e6d81cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006056-n000004.json b/manifests/batches/oproofs/s00002-r00006056-n000004.json
index feb8939826c5e47acb2bc17362f72a959e482792..b946c2a1ce1ac739340d84bef8871b18d1afabaa 100644
--- a/manifests/batches/oproofs/s00002-r00006056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006056-n000004",
   "batch_fingerprint": "3a62d37eede6ed574fdea1a202548f28c168c0e40b3401a1ba7062cedf95e8d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006056-n000004-0000-deffddb6b57ef043.parquet",
-      "sha256": "deffddb6b57ef0431bf35196118ec7ce8f2250582ef8913ac3e52c0e4e801354",
-      "bytes": 134142,
-      "rows": 12,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006056-n000004-0000-c3f5c0c888b9cefe.parquet",
-      "sha256": "c3f5c0c888b9cefe4ab9b806e90d009462fba7340faca51602ec69cdfbc596c8",
-      "bytes": 64687,
-      "rows": 7,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006057.lean\",\"eaa97fe1e5ae94f8cfba465868b311449f4c678ffae76203a93ea982fbf42eaf\",0,\"lean_workbook_plus_56383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006058.lean\",\"2acd83b43cf7a9585acda6b6244394b1be061e5caf8679518c89d858144011e8\",0,\"lean_workbook_43597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006059.lean\",\"1a4d2a29ae4a7f44c6327ba3411ac2a4e55969e46ff60b8f42fd4a6d9a7d2754\",0,\"lean_workbook_plus_25760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134142,
+      "path": "data/train/pec/oproofs-s00002-r00006056-n000004-0000-deffddb6b57ef043.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "deffddb6b57ef0431bf35196118ec7ce8f2250582ef8913ac3e52c0e4e801354"
+    },
+    {
+      "bytes": 64687,
+      "path": "data/internal_test/pec/oproofs-s00002-r00006056-n000004-0000-c3f5c0c888b9cefe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c3f5c0c888b9cefe4ab9b806e90d009462fba7340faca51602ec69cdfbc596c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006060-n000004.json b/manifests/batches/oproofs/s00002-r00006060-n000004.json
index 054043a801db880189216211a83d6a53136816dd..b421e99434080d14aefdc10424fa8f9e76dbc6ff 100644
--- a/manifests/batches/oproofs/s00002-r00006060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006060-n000004",
   "batch_fingerprint": "76be7485a2c897f82a5f42737833d202f4a7462dd7c0b84ad05bc4162e52c962",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006060-n000004-0000-5fb8c1742df992bd.parquet",
-      "sha256": "5fb8c1742df992bd43e62ad1270d03fb7ee153512a46add268b10e17f7341837",
-      "bytes": 300949,
-      "rows": 22,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006060-n000004-0000-a92c7e52e1bbf3a4.parquet",
-      "sha256": "a92c7e52e1bbf3a443ec44f3154873526a2ca73c60d2f534e60f332726d53f7a",
-      "bytes": 56179,
-      "rows": 7,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006061.lean\",\"25143fbacb002ef4e92c1e547e6d1fde4a4f531fc6f7b58f7bb7f9356527f58f\",0,\"lean_workbook_plus_75012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006062.lean\",\"acc2e843973f82df91595bb999a6a02e14eb852b7bf3c0df9f1d72bfb78e58f2\",0,\"lean_workbook_plus_57334\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006063.lean\",\"01ff0215027ff5abb1ac75fede5de68915fd3382ffee9acf5770973d16f0883a\",0,\"lean_workbook_plus_16119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300949,
+      "path": "data/train/pc8/oproofs-s00002-r00006060-n000004-0000-5fb8c1742df992bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "5fb8c1742df992bd43e62ad1270d03fb7ee153512a46add268b10e17f7341837"
+    },
+    {
+      "bytes": 56179,
+      "path": "data/dev/pc8/oproofs-s00002-r00006060-n000004-0000-a92c7e52e1bbf3a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a92c7e52e1bbf3a443ec44f3154873526a2ca73c60d2f534e60f332726d53f7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006064-n000004.json b/manifests/batches/oproofs/s00002-r00006064-n000004.json
index a6f828433b024b983dfe4422f0cfbc3eccc165eb..7294026ae9865eeff98aa88479de1791b20be307 100644
--- a/manifests/batches/oproofs/s00002-r00006064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006064-n000004",
   "batch_fingerprint": "5ce878fc737082566f6c0236271dc6a7978f64b54da82c259eb64e1163488bff",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6064",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6065",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6066",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6067"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006064.lean\",\"766acff5816aeb16492cd76efe6ea661cc1b61ff8e484c0532cb85f8097772ab\",0,\"lean_workbook_plus_64700\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006065.lean\",\"01273fa6225410a31027b4d8734bae8b0d68252e5da1451d36f8c56ef8f8098e\",0,\"Real_396027\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006066.lean\",\"0fe293a0b4080aabd2494a04e988f6b287537a36e2791de6119dc885d22900a4\",0,\"lean_workbook_plus_81169\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006067.lean\",\"a438f089a6eeb38253ed5b50692aa54b66e6aac5d8d4ba82bcfacdba15233cc2\",0,\"lean_workbook_plus_23258\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006064-n000004-0000-9741bb6851d4fe29.parquet",
-      "sha256": "9741bb6851d4fe295100dd86c0b369df518e8ecf9ab37fdda9bac3ebfeb45807",
       "bytes": 197616,
+      "path": "data/train/pe4/oproofs-s00002-r00006064-n000004-0000-9741bb6851d4fe29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "9741bb6851d4fe295100dd86c0b369df518e8ecf9ab37fdda9bac3ebfeb45807"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006064-n000004-0000-f317d648cc1d5710.parquet",
-      "sha256": "f317d648cc1d57107d5c4769a265e234b73233fbfc5ee634c78fbc5833bd122e",
       "bytes": 42502,
+      "path": "data/dev/pe4/oproofs-s00002-r00006064-n000004-0000-f317d648cc1d5710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "f317d648cc1d57107d5c4769a265e234b73233fbfc5ee634c78fbc5833bd122e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006064-n000004-0000-8007fbef80666316.parquet",
-      "sha256": "8007fbef806663163a177da59448e4b746de4a29208a187cfb61d588828b71d5",
       "bytes": 97881,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00006064-n000004-0000-8007fbef80666316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "8007fbef806663163a177da59448e4b746de4a29208a187cfb61d588828b71d5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6064",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6065",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6066",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6067"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006064.lean\",\"766acff5816aeb16492cd76efe6ea661cc1b61ff8e484c0532cb85f8097772ab\",0,\"lean_workbook_plus_64700\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006065.lean\",\"01273fa6225410a31027b4d8734bae8b0d68252e5da1451d36f8c56ef8f8098e\",0,\"Real_396027\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006066.lean\",\"0fe293a0b4080aabd2494a04e988f6b287537a36e2791de6119dc885d22900a4\",0,\"lean_workbook_plus_81169\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006067.lean\",\"a438f089a6eeb38253ed5b50692aa54b66e6aac5d8d4ba82bcfacdba15233cc2\",0,\"lean_workbook_plus_23258\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006068-n000004.json b/manifests/batches/oproofs/s00002-r00006068-n000004.json
index 61d714f6dc2478789a0fdc9eb32286e048b10005..03615ea9c41e6d33b6288d9adc5d6b86c53eec77 100644
--- a/manifests/batches/oproofs/s00002-r00006068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006068-n000004",
   "batch_fingerprint": "6974a791e86738a9507a575e206eff7f67e01d7b9dc32a028c02b81fe941fe62",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006068-n000004-0000-6198026f649138dd.parquet",
-      "sha256": "6198026f649138ddefbfac05a97eeb4ea758ee9fb746d511185feb0c98a50b03",
-      "bytes": 265333,
-      "rows": 15,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6069",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006069.lean\",\"8a638b43cc6dfddffbd43edcd480a9c1d36a73d37f64dff6bcbb190d4a0bfbad\",0,\"lean_workbook_plus_45212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006070.lean\",\"7d6e185213109d1bdab5a3c5c8a256cef72b64fa481ba9a8e7a8d5f51dc86144\",0,\"meal_distribution_one_correct\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006071.lean\",\"d516d9c056d2f664cdb0f3c1096c0c8a68ef42c0506e39487f47fcc87e8c280e\",0,\"min_distance_to_2i\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265333,
+      "path": "data/train/p57/oproofs-s00002-r00006068-n000004-0000-6198026f649138dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6198026f649138ddefbfac05a97eeb4ea758ee9fb746d511185feb0c98a50b03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006072-n000004.json b/manifests/batches/oproofs/s00002-r00006072-n000004.json
index 12484d5cb11487288b45330a53d2e5156fc3c913..2bcae339fcd79eb162445fb9f6f50fd7671ee8dc 100644
--- a/manifests/batches/oproofs/s00002-r00006072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006072-n000004",
   "batch_fingerprint": "fe54f826e78317689c451a81be1180bcd09d7ae64e77bacd53e61826d71ec75e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006072-n000004-0000-5f9dd6d4956d15fd.parquet",
-      "sha256": "5f9dd6d4956d15fdf92f9d0c12bfa8262c2e5806ce27df6c5164f40215302a49",
-      "bytes": 667477,
-      "rows": 16,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006072-n000004-0000-026b1157731ed383.parquet",
-      "sha256": "026b1157731ed3833d4bb5ffcead14f1c729b16deb902519a6a2e2b00bfc8565",
-      "bytes": 54797,
-      "rows": 5,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6073",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006073.lean\",\"24c797fca5036fd785c21c6eaa59bb08636f371e71b63f9285cfda2a77e2c9f7\",0,\"lean_workbook_27860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006074.lean\",\"b29be60d6ce134330cac63df66de09b441c9459bf7a13498fa26d692ee208ecf\",0,\"lean_workbook_plus_59337\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006075.lean\",\"dc91479e7d5e4c5350f90581be8c72e6acb8e1c3538937413274b484c3f5caa6\",0,\"lean_workbook_plus_64831\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 667477,
+      "path": "data/train/pd7/oproofs-s00002-r00006072-n000004-0000-5f9dd6d4956d15fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5f9dd6d4956d15fdf92f9d0c12bfa8262c2e5806ce27df6c5164f40215302a49"
+    },
+    {
+      "bytes": 54797,
+      "path": "data/internal_test/pd7/oproofs-s00002-r00006072-n000004-0000-026b1157731ed383.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "026b1157731ed3833d4bb5ffcead14f1c729b16deb902519a6a2e2b00bfc8565"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006076-n000004.json b/manifests/batches/oproofs/s00002-r00006076-n000004.json
index c030481a223614463f7c45ed098cb74284a9d606..d7f450c74cdabfbd35af85ff69a97c7bbb6e9c39 100644
--- a/manifests/batches/oproofs/s00002-r00006076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006076-n000004",
   "batch_fingerprint": "692f69817f5f3f6a3fc712e09e199f821a898a972ee96fe114323cbdb2c9ea1d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006076-n000004-0000-b9fca936de3fa2f0.parquet",
-      "sha256": "b9fca936de3fa2f09a12ee1f83014e61ca2f6573ce65da3c138186fad956e3ce",
-      "bytes": 376361,
-      "rows": 22,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006077.lean\",\"87b24013bb4f0812b96bdea7686c2eaa392ad9cb544908ee687b46fc8b1c8e56\",0,\"set_union_complement_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006078.lean\",\"118b408bc7b4f5ae6ef5962a95660777fd93192fc3f5a97c0bf8ee5a0bedf1f7\",0,\"lean_workbook_plus_15397\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006079.lean\",\"c1fccdc62710cd4d9379b8b9e74270fce97efaac4a595e61f9b34cf2bf13a19b\",0,\"lean_workbook_plus_62146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376361,
+      "path": "data/train/pcb/oproofs-s00002-r00006076-n000004-0000-b9fca936de3fa2f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b9fca936de3fa2f09a12ee1f83014e61ca2f6573ce65da3c138186fad956e3ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006080-n000004.json b/manifests/batches/oproofs/s00002-r00006080-n000004.json
index d7d1a0669795f4e5873779d859632e19029cb41b..eb5c10f969bda0bc6298fe7b54335de1ae44b6d7 100644
--- a/manifests/batches/oproofs/s00002-r00006080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006080-n000004",
   "batch_fingerprint": "4807a6f8ea130853fc72dfd0762bae539b2b41082a084418409ea45c2455b85d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006080-n000004-0000-1896aea495efe496.parquet",
-      "sha256": "1896aea495efe4960416ab5195d93f6dbddcfc1adfc6bb3f2e3355d567e13c40",
-      "bytes": 903006,
-      "rows": 15,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006080-n000004-0000-ce3b80c66ea555c1.parquet",
-      "sha256": "ce3b80c66ea555c1964a91d70473c10a746228c7535530dc04c07853cc21076a",
-      "bytes": 47675,
-      "rows": 3,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006081.lean\",\"1a63c6ea30596500b6b90c25ba2db01848ad937b4c06956a26f1b3e015ea9691\",0,\"arith\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006082.lean\",\"7b15f0c212807a16382dd08c0168dfc810c1071162ae45325b32b1bc97446d97\",0,\"Nat.floorOdd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006083.lean\",\"83056af619ce974e21d3a62321856f16ce0297e33f759bea1e79dc4e0a8f0af4\",0,\"Int.fract_eq_zero\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 903006,
+      "path": "data/train/p93/oproofs-s00002-r00006080-n000004-0000-1896aea495efe496.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1896aea495efe4960416ab5195d93f6dbddcfc1adfc6bb3f2e3355d567e13c40"
+    },
+    {
+      "bytes": 47675,
+      "path": "data/dev/p93/oproofs-s00002-r00006080-n000004-0000-ce3b80c66ea555c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce3b80c66ea555c1964a91d70473c10a746228c7535530dc04c07853cc21076a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006084-n000004.json b/manifests/batches/oproofs/s00002-r00006084-n000004.json
index c16bf83d3c773e63b5065fed93f27cbf5d0690bf..f3e3f2fbeb0440a8e11d0e2a0fd08ec5fc35f834 100644
--- a/manifests/batches/oproofs/s00002-r00006084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006084-n000004",
   "batch_fingerprint": "8f8a27b775f4fabf8b828f8c1abcd356388f50645b38b6646330629e6f6315d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006084-n000004-0000-fa57d9fe48a6c812.parquet",
-      "sha256": "fa57d9fe48a6c8120417256ba565e853a1f0f682e28992e07f117d2ed7673afa",
-      "bytes": 76459,
-      "rows": 5,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006084-n000004-0000-f669cac25577e432.parquet",
-      "sha256": "f669cac25577e4324e5df123ca48550223ba940fd87071d4d2487f4bd48ac719",
-      "bytes": 114512,
-      "rows": 9,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006085.lean\",\"c41c5de3411b9c41196c7f649153ef389c8fc7b944ed3e096c720a0706e780e5\",0,\"lean_workbook_36884\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006086.lean\",\"d627740ff12e9fa619e804f2856809a0cf09ce7feefa6d21787a6d7833ebbbc6\",0,\"lean_workbook_20624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006087.lean\",\"28e34b89f7621bc99f83331f0901686ddaacd0c5abcf66e03effaf723902d9a6\",0,\"lean_workbook_1979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76459,
+      "path": "data/train/pdc/oproofs-s00002-r00006084-n000004-0000-fa57d9fe48a6c812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fa57d9fe48a6c8120417256ba565e853a1f0f682e28992e07f117d2ed7673afa"
+    },
+    {
+      "bytes": 114512,
+      "path": "data/dev/pdc/oproofs-s00002-r00006084-n000004-0000-f669cac25577e432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f669cac25577e4324e5df123ca48550223ba940fd87071d4d2487f4bd48ac719"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006088-n000004.json b/manifests/batches/oproofs/s00002-r00006088-n000004.json
index 4549beebc1a6f13c7b067ca5be735f2d3c9e2457..269cd3fd5a5e27d5e3a32dfa2c6ed7fd7ff10f15 100644
--- a/manifests/batches/oproofs/s00002-r00006088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006088-n000004",
   "batch_fingerprint": "8bb7007133a6a18ffbfca1817639540bbd7aca2fd97f640a52bb9159460e1cc4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006088-n000004-0000-3b812a6a4b123fb1.parquet",
-      "sha256": "3b812a6a4b123fb1ff2ec436e6a0cdf2cbe7c5082dd56540f1bc411441bdb946",
-      "bytes": 317085,
-      "rows": 17,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006088-n000004-0000-8e6ec4c9b4e62f9f.parquet",
-      "sha256": "8e6ec4c9b4e62f9fab7beff65a0c22b8ca4f79dd8bc3c9283f06a983e451d0d6",
-      "bytes": 110952,
-      "rows": 9,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006089.lean\",\"bef7edba09ddd13e1f5eaf20fb0f7b1b8f06a6142d7ba8a50c50a389f678b0fa\",0,\"quadratic_equation_smallest_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006090.lean\",\"e6491806e81418b647f83ce581d958a7a5fa2ed687c9677f91372af0ced07a93\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006091.lean\",\"0cc46f9f3a15664c334412bf481cd24a6a4ce2294fdffdc1397478a08441912c\",0,\"power_log_comparison\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317085,
+      "path": "data/train/p21/oproofs-s00002-r00006088-n000004-0000-3b812a6a4b123fb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3b812a6a4b123fb1ff2ec436e6a0cdf2cbe7c5082dd56540f1bc411441bdb946"
+    },
+    {
+      "bytes": 110952,
+      "path": "data/dev/p21/oproofs-s00002-r00006088-n000004-0000-8e6ec4c9b4e62f9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8e6ec4c9b4e62f9fab7beff65a0c22b8ca4f79dd8bc3c9283f06a983e451d0d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006092-n000004.json b/manifests/batches/oproofs/s00002-r00006092-n000004.json
index 9c85eb99e8438b28ef67af30129178df5c875e7a..946322c32fd65ae9717e98413191a4b18a926c45 100644
--- a/manifests/batches/oproofs/s00002-r00006092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006092-n000004",
   "batch_fingerprint": "7a40778e2b8c0760fcc9057ac2b5a0f8bc2a52dd32da39f920999033abe2e0b0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006092-n000004-0000-6720b643e91262c2.parquet",
-      "sha256": "6720b643e91262c25478cde78875aae915d1f3b97a7f18d1b4ab9105456e1aa6",
-      "bytes": 140639,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006092-n000004-0000-1e9c09d6cbef493a.parquet",
-      "sha256": "1e9c09d6cbef493a05d3e6f418a476f5432af72fcf52b217fa0b8ef778ed84ae",
-      "bytes": 48637,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006093.lean\",\"930ad8595c56370e779cc59d72c2da3100e06cdee594c384ecafd03ddd5b7815\",0,\"lean_workbook_plus_55944\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006094.lean\",\"13a9ccfda73882cfc01e5608963792a5e388fc0f81dc611676170e42eea59873\",0,\"lean_workbook_plus_36139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006095.lean\",\"7222e5a5e888903d52491ea6f303e1fe3d8047343cdfcceeaa9c5d0cf35d15ca\",0,\"lean_workbook_plus_50638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140639,
+      "path": "data/train/p50/oproofs-s00002-r00006092-n000004-0000-6720b643e91262c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6720b643e91262c25478cde78875aae915d1f3b97a7f18d1b4ab9105456e1aa6"
+    },
+    {
+      "bytes": 48637,
+      "path": "data/internal_test/p50/oproofs-s00002-r00006092-n000004-0000-1e9c09d6cbef493a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1e9c09d6cbef493a05d3e6f418a476f5432af72fcf52b217fa0b8ef778ed84ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006096-n000004.json b/manifests/batches/oproofs/s00002-r00006096-n000004.json
index bf2cf8d55c7a6f37edcdf38f21ac5a74cd83a44e..c97e6640919ce1d2b3375884247b9e1a3b88d0d6 100644
--- a/manifests/batches/oproofs/s00002-r00006096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006096-n000004",
   "batch_fingerprint": "f13f879fa83eb62a6ae7e3b85ec7bc26c3e52895c61d2ec2c5d20ccb3d6a9243",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006096-n000004-0000-179e8902f41455fa.parquet",
-      "sha256": "179e8902f41455fa24367321130bf064801da1b732d52d9f7ecf21bf53d3f1fc",
-      "bytes": 233593,
-      "rows": 12,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006096-n000004-0000-795b4bdb9eddcd7a.parquet",
-      "sha256": "795b4bdb9eddcd7a8391485761b37a07ac8b57d63ef1a70a4aa930e0898af84a",
-      "bytes": 51257,
-      "rows": 3,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6097",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006097.lean\",\"b04880ac3b80ca0b42ecca0b3c239ab474ac3a75cc4420b29a81d2c2d84dbd6f\",0,\"lean_workbook_plus_73996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006098.lean\",\"a5eb20879f09f723ee91f0c386fc2e47d89668f689aed142a745fb2166afd625\",0,\"lean_workbook_plus_51349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006099.lean\",\"141091f683aa83c6f8d26391dcbfee723a7e677de419c0f3ac62b4be84539900\",0,\"lean_workbook_plus_76089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233593,
+      "path": "data/train/p14/oproofs-s00002-r00006096-n000004-0000-179e8902f41455fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "179e8902f41455fa24367321130bf064801da1b732d52d9f7ecf21bf53d3f1fc"
+    },
+    {
+      "bytes": 51257,
+      "path": "data/internal_test/p14/oproofs-s00002-r00006096-n000004-0000-795b4bdb9eddcd7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "795b4bdb9eddcd7a8391485761b37a07ac8b57d63ef1a70a4aa930e0898af84a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006100-n000004.json b/manifests/batches/oproofs/s00002-r00006100-n000004.json
index b78d1f38eef2255c1640b8129af808bcc7378f28..979b3baca5c77ba41ff10767caa23a01bd46ebf8 100644
--- a/manifests/batches/oproofs/s00002-r00006100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006100-n000004",
   "batch_fingerprint": "ed8dee31103f60761b3cb35e73305003da5228a2c002a292a88ddd4cdc331baa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006100-n000004-0000-74291c55f8628b5a.parquet",
-      "sha256": "74291c55f8628b5a2ecdd17aa91758ca31516c1ec26d8f94f155c9296e21e7da",
-      "bytes": 173690,
-      "rows": 14,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006100-n000004-0000-99fff3e608c0596f.parquet",
-      "sha256": "99fff3e608c0596f5863dce73600deb4e68e50ac94e17fa717f216612dccb631",
-      "bytes": 64916,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006101.lean\",\"39410e43e2a81500c8740843f641247ece8da5d8986916adfd5b210762555560\",0,\"lean_workbook_plus_39491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006102.lean\",\"ced8bff23ad188d6673a8c20ae16e6ba223a20a145069b6d807db851e67c9ead\",0,\"lean_workbook_plus_40349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006103.lean\",\"69dc61b325dd63f30b0258201121356999f18123868647452c93589f98fd8984\",0,\"lean_workbook_50197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173690,
+      "path": "data/train/p2a/oproofs-s00002-r00006100-n000004-0000-74291c55f8628b5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "74291c55f8628b5a2ecdd17aa91758ca31516c1ec26d8f94f155c9296e21e7da"
+    },
+    {
+      "bytes": 64916,
+      "path": "data/internal_test/p2a/oproofs-s00002-r00006100-n000004-0000-99fff3e608c0596f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "99fff3e608c0596f5863dce73600deb4e68e50ac94e17fa717f216612dccb631"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006104-n000004.json b/manifests/batches/oproofs/s00002-r00006104-n000004.json
index 215d33350ccf40b26875fb385602ec6303c962b5..1b182f2bda2447df2b5c4c6cddf0d5dfcd48c8de 100644
--- a/manifests/batches/oproofs/s00002-r00006104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006104-n000004",
   "batch_fingerprint": "2592bc8c96a9de73d5879804ca610f76ad1150ba847cebeff5610412f9aab909",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006104-n000004-0000-7251861e5719ab88.parquet",
-      "sha256": "7251861e5719ab88fc809c1a1b9b76e3c0add194e18c3f19097f340c954d90d6",
-      "bytes": 155564,
-      "rows": 15,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006104-n000004-0000-93b7a925ae192407.parquet",
-      "sha256": "93b7a925ae19240763ed4cafd2100854a521c70d2dac41cc3e2a3f9c73771b39",
-      "bytes": 57241,
-      "rows": 2,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006105.lean\",\"dff39bab1b3a1e7a6fc40e3a8064100ea972275f1f5e56013f60a2b431c8d3d9\",0,\"lean_workbook_plus_14757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006106.lean\",\"73bef3814f833c391729caacbb7fba46fa35ce9bd7adc45d396f6fb4aa55b1dc\",0,\"lean_workbook_plus_29163\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006107.lean\",\"383ae58845ac71a7798114f9ddfc17e61d17a6246b7a40f0595a51068d2ed0ec\",0,\"lean_workbook_plus_53580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155564,
+      "path": "data/train/p32/oproofs-s00002-r00006104-n000004-0000-7251861e5719ab88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7251861e5719ab88fc809c1a1b9b76e3c0add194e18c3f19097f340c954d90d6"
+    },
+    {
+      "bytes": 57241,
+      "path": "data/internal_test/p32/oproofs-s00002-r00006104-n000004-0000-93b7a925ae192407.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "93b7a925ae19240763ed4cafd2100854a521c70d2dac41cc3e2a3f9c73771b39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006108-n000004.json b/manifests/batches/oproofs/s00002-r00006108-n000004.json
index 6af485f8c776996b99ff91be98f066c0080f6ad6..9bec48ab42b9d822b9ea81d0aa117263fe59f7ad 100644
--- a/manifests/batches/oproofs/s00002-r00006108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006108-n000004",
   "batch_fingerprint": "1f0482f19642a1e03f132ed79a2504d1d2330f3ff675c6e1453bf434c802b27e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006108-n000004-0000-5c94709bb7b3ce21.parquet",
-      "sha256": "5c94709bb7b3ce216a8b45e170736be8f4095e30217453a883336d58267590bb",
-      "bytes": 117495,
-      "rows": 17,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006108-n000004-0000-94c70ba385e056b0.parquet",
-      "sha256": "94c70ba385e056b0ec53b4a68a39d371baa66d4f0ce9c62334dddfe54994b432",
-      "bytes": 52070,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6109",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006109.lean\",\"4fb60a04b6fbf453acf5ebed2c959389d0e1f5f9e297ed4d080678bfbf7cada1\",0,\"lean_workbook_plus_56956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006110.lean\",\"f71f75924fc6539aa5a7cfac5390a09594618209ef685911a79dd0444a48a95c\",0,\"lean_workbook_plus_29348\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006111.lean\",\"c77c3f1a558093364857eaf3bf32db691e6fb6056e60f0d3c9fa8a92ae2528c0\",0,\"lean_workbook_plus_45329\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117495,
+      "path": "data/train/p2a/oproofs-s00002-r00006108-n000004-0000-5c94709bb7b3ce21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5c94709bb7b3ce216a8b45e170736be8f4095e30217453a883336d58267590bb"
+    },
+    {
+      "bytes": 52070,
+      "path": "data/internal_test/p2a/oproofs-s00002-r00006108-n000004-0000-94c70ba385e056b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "94c70ba385e056b0ec53b4a68a39d371baa66d4f0ce9c62334dddfe54994b432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006112-n000004.json b/manifests/batches/oproofs/s00002-r00006112-n000004.json
index e2b8fa66b08e7c2d5fbbf703d7c734ed522f9ae9..04cda058784808afd545d6702d56b8df2bb5cea2 100644
--- a/manifests/batches/oproofs/s00002-r00006112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006112-n000004",
   "batch_fingerprint": "bb80faa64e7d29848965a82990cf4ea04415a1fc290ecb04d9ea84c94ad9e0b7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006112-n000004-0000-44bd92b4974f4cd8.parquet",
-      "sha256": "44bd92b4974f4cd831c5d14ca58b72fec3f064f5c9f40716c552e584b9528432",
-      "bytes": 219177,
-      "rows": 14,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6113",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006113.lean\",\"482d437205ddac0c386b823b5b8c81fbe0dc98766a249b6d2fe1d19039a59da3\",0,\"lean_workbook_plus_40823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006114.lean\",\"9f99be71cab25936c0f12726f9746aedc4b1c67bc1ae54f9c0af633b06c0fc1f\",0,\"lean_workbook_plus_13318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006115.lean\",\"939ba9fc09c58cbf512e800b49198fe3666aa8e29d9dc854bc12b532537b7693\",0,\"lean_workbook_plus_13775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219177,
+      "path": "data/train/p57/oproofs-s00002-r00006112-n000004-0000-44bd92b4974f4cd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "44bd92b4974f4cd831c5d14ca58b72fec3f064f5c9f40716c552e584b9528432"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006116-n000004.json b/manifests/batches/oproofs/s00002-r00006116-n000004.json
index c15df8c3134f3f9db463a80ffd16a3e53701905e..def1e58cd08c02440ced00c692ae6fff8e71bc49 100644
--- a/manifests/batches/oproofs/s00002-r00006116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006116-n000004",
   "batch_fingerprint": "6a059ab0bf1c31c673b9d50501d020e3eb5feaf10c1d96cb796f77800c99fc4b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006116-n000004-0000-6f9ba8c224f9b39f.parquet",
-      "sha256": "6f9ba8c224f9b39f82bd93b39f40aa5c886963813c616df514fd9b5e7601441c",
-      "bytes": 131723,
-      "rows": 29,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006116-n000004-0000-154535fe063d1243.parquet",
-      "sha256": "154535fe063d1243a4fb70623a6cf2c913c5db6559f14699a492a7474924bd06",
-      "bytes": 52574,
-      "rows": 4,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006117.lean\",\"cc231aca295fc8c330d2e1af47e9afaee5306e0a05bdc047be043b8aae935d77\",0,\"marble_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006118.lean\",\"b0e950451be1615a393e3c9f391b181b262bc45d0396b641d7db45dd86029275\",0,\"lean_workbook_17322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006119.lean\",\"871fb9fd7f70716fe27e5020b997978f0c0eebb318a60c6c528f714a1d4b4c24\",0,\"lean_workbook_plus_12584\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131723,
+      "path": "data/train/p00/oproofs-s00002-r00006116-n000004-0000-6f9ba8c224f9b39f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "6f9ba8c224f9b39f82bd93b39f40aa5c886963813c616df514fd9b5e7601441c"
+    },
+    {
+      "bytes": 52574,
+      "path": "data/internal_test/p00/oproofs-s00002-r00006116-n000004-0000-154535fe063d1243.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "154535fe063d1243a4fb70623a6cf2c913c5db6559f14699a492a7474924bd06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006120-n000004.json b/manifests/batches/oproofs/s00002-r00006120-n000004.json
index 9d346e185d086d21f0e280615bb18e34361926e5..8b32488215183f0d5334f951d7d4ecf30b0b9706 100644
--- a/manifests/batches/oproofs/s00002-r00006120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006120-n000004",
   "batch_fingerprint": "850b0f2bd40953dbd701e4ccd2f828bbd94b9e7c89fe7c33d0232d9cdb5c2843",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006120-n000004-0000-5bb0b53b62add78c.parquet",
-      "sha256": "5bb0b53b62add78c69246aec7704587bdc909f6d6859da730d5845060f984d04",
-      "bytes": 243687,
-      "rows": 15,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006121.lean\",\"bb931aa0e6d3a6fde93dbe7f4b4357ab91fd9193de7c2f9cb0a591a0f9e1160d\",0,\"lean_workbook_plus_43685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006122.lean\",\"1f5a6e42af58f460fa7c2d6571d70a4216cf0dafe47b7d3fcd919cbadc917528\",0,\"lean_workbook_plus_78206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006123.lean\",\"541b8f5745e2ad85728e4c8df6aa47a28fd7bfccb03e9bd2c6f12e79e8b26838\",0,\"bathing_suits_combinations\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243687,
+      "path": "data/train/p22/oproofs-s00002-r00006120-n000004-0000-5bb0b53b62add78c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5bb0b53b62add78c69246aec7704587bdc909f6d6859da730d5845060f984d04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006124-n000004.json b/manifests/batches/oproofs/s00002-r00006124-n000004.json
index 5edea1effa369b1632d09f80ff3baf883e91bd9b..9c1ca9e1cfd08ec81c66aec9da5b4a9160e23ff4 100644
--- a/manifests/batches/oproofs/s00002-r00006124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006124-n000004",
   "batch_fingerprint": "cc0d6fb609b75b390b33604380c217ab8a3a0eefdc952522bcc59b72f220c53b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006124-n000004-0000-4b5677bb720b74f2.parquet",
-      "sha256": "4b5677bb720b74f2667843b97d70495130a4c5273071fc6fb215c621199bd481",
-      "bytes": 195284,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006125.lean\",\"c3215cb8a08aa393b8fdbadf94f878ef7b0cd9365890b4544a590d1990d1f932\",0,\"lean_workbook_plus_58851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006126.lean\",\"a5719162bb75260dcccd9cb553290e769371663fbd51a8f3f279f04b519b9631\",0,\"lean_workbook_plus_65822\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006127.lean\",\"e13483db04a86a9ed7c4ade81e1b99972451a56bc7e4e444ece63fb4b2706d29\",0,\"lean_workbook_plus_62094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195284,
+      "path": "data/train/p63/oproofs-s00002-r00006124-n000004-0000-4b5677bb720b74f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4b5677bb720b74f2667843b97d70495130a4c5273071fc6fb215c621199bd481"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006128-n000004.json b/manifests/batches/oproofs/s00002-r00006128-n000004.json
index f1755e918483a636525a8061f8ddf14a5e2fe4d7..c5684c9933070d1855f373253bfa150fedc0c5e6 100644
--- a/manifests/batches/oproofs/s00002-r00006128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006128-n000004",
   "batch_fingerprint": "d68a1acd3b651ba9cca42ab6ea7bc72986145e6fca0997f43f2096dc0df3ebc7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006128-n000004-0000-538ae1b2828f3d3d.parquet",
-      "sha256": "538ae1b2828f3d3d6f687a4edd159a52a2f4264bf0b69bbe1267a3b53ca788b8",
-      "bytes": 119422,
-      "rows": 16,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006129.lean\",\"1021cf27fa243803c79a55c32c42d2927d9d907161db37c3729210e4319101b9\",0,\"decimal_ordering\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006130.lean\",\"2eec884b5ca347badff7410626ae53d7ce81bd680c7cad14d152de4f4ac14d3f\",0,\"lean_workbook_plus_24569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006131.lean\",\"fd3fd95f573fd5cdecd34140f38f38dc8a6a6dd02cb22568f167e758925f32bf\",0,\"lean_workbook_plus_56383\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119422,
+      "path": "data/train/p53/oproofs-s00002-r00006128-n000004-0000-538ae1b2828f3d3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "538ae1b2828f3d3d6f687a4edd159a52a2f4264bf0b69bbe1267a3b53ca788b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006132-n000004.json b/manifests/batches/oproofs/s00002-r00006132-n000004.json
index 038b198009e549ee60f66f9fa51cd946704b3fe3..3f1fb18aa3b24180af799331e68621b2601902a3 100644
--- a/manifests/batches/oproofs/s00002-r00006132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006132-n000004",
   "batch_fingerprint": "99b00a8dc0ca0d2170ee290f053218214fa570be631017cc3b11078f33539c3a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6132",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6133",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6134",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6135"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006132.lean\",\"fae4c383848eaa16d8497ca90d84b55c840efffe4d6a98cc80ec97ff9334d59e\",0,\"lean_workbook_43597\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006133.lean\",\"bade69e6e9e2fe3c04e512422390506ff829146e9804ed65690ec35b44a4c4de\",0,\"lean_workbook_plus_25760\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006134.lean\",\"6b4bc288f80258b8a4ce1dff52eb54b7a64c380a480d6f87f35287b715c8650c\",0,\"lean_workbook_plus_29071\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006135.lean\",\"f355064cde5fa17a184593479b3256cac211ef073bc8dba7877020fe47d533fd\",0,\"lean_workbook_1939\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006132-n000004-0000-681c70ba7f6b8a83.parquet",
-      "sha256": "681c70ba7f6b8a83bd002ba149ff1dfbf85980725b7c7818f0fe9b658dd69bfb",
       "bytes": 290396,
+      "path": "data/train/pd2/oproofs-s00002-r00006132-n000004-0000-681c70ba7f6b8a83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "681c70ba7f6b8a83bd002ba149ff1dfbf85980725b7c7818f0fe9b658dd69bfb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006132-n000004-0000-a9445c97b31db138.parquet",
-      "sha256": "a9445c97b31db138b14f39db177263c845c5d24c630178fe4d76a38594f1f586",
       "bytes": 62758,
+      "path": "data/dev/pd2/oproofs-s00002-r00006132-n000004-0000-a9445c97b31db138.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "a9445c97b31db138b14f39db177263c845c5d24c630178fe4d76a38594f1f586"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006132-n000004-0000-4563436a48fcdf85.parquet",
-      "sha256": "4563436a48fcdf85530d257885396204cbf87f28dd031bd40bf9d40783d9dff7",
       "bytes": 62193,
+      "path": "data/internal_test/pd2/oproofs-s00002-r00006132-n000004-0000-4563436a48fcdf85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "d0d43d0d0e3d165798dc919beeab90e349180915"
+      "sha256": "4563436a48fcdf85530d257885396204cbf87f28dd031bd40bf9d40783d9dff7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6132",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6133",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6134",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6135"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006132.lean\",\"fae4c383848eaa16d8497ca90d84b55c840efffe4d6a98cc80ec97ff9334d59e\",0,\"lean_workbook_43597\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006133.lean\",\"bade69e6e9e2fe3c04e512422390506ff829146e9804ed65690ec35b44a4c4de\",0,\"lean_workbook_plus_25760\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006134.lean\",\"6b4bc288f80258b8a4ce1dff52eb54b7a64c380a480d6f87f35287b715c8650c\",0,\"lean_workbook_plus_29071\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006135.lean\",\"f355064cde5fa17a184593479b3256cac211ef073bc8dba7877020fe47d533fd\",0,\"lean_workbook_1939\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006136-n000004.json b/manifests/batches/oproofs/s00002-r00006136-n000004.json
index 6d0aa6fe99157dace9e103d565bc29ff0e40d9b8..ccb9d01662a60ea7622c6a14c9b15943f52b6654 100644
--- a/manifests/batches/oproofs/s00002-r00006136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006136-n000004",
   "batch_fingerprint": "6f6029175ec491fadf3bfee9675311712500085d1fc265adcb6d7ac88553e716",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006136-n000004-0000-71b0cd98562461cf.parquet",
-      "sha256": "71b0cd98562461cffd7fbc5391181e50d6bb8db539496034d3ed6548fd83fb5c",
-      "bytes": 561041,
-      "rows": 21,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006136-n000004-0000-b028fa726695f520.parquet",
-      "sha256": "b028fa726695f5204951cc05719eebb05dd5ae823bbe1cb2d3061e11dd32794e",
-      "bytes": 125692,
-      "rows": 6,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006137.lean\",\"1425627da763fe26780ef4368ac2f7437e143a9f93d1e027c930f5277a5342ee\",0,\"lean_workbook_plus_75012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006138.lean\",\"735b4b504787a1666cbb497c50b012a809b1dccac6c5576a2d03ddc65eb6675e\",0,\"lean_workbook_plus_64809\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006139.lean\",\"9925323779b3b8d81db371addd325b1b6c7b63f3dd05ca302fd05590a88b4ada\",0,\"lean_workbook_plus_16119\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 561041,
+      "path": "data/train/pf3/oproofs-s00002-r00006136-n000004-0000-71b0cd98562461cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "71b0cd98562461cffd7fbc5391181e50d6bb8db539496034d3ed6548fd83fb5c"
+    },
+    {
+      "bytes": 125692,
+      "path": "data/internal_test/pf3/oproofs-s00002-r00006136-n000004-0000-b028fa726695f520.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b028fa726695f5204951cc05719eebb05dd5ae823bbe1cb2d3061e11dd32794e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006140-n000004.json b/manifests/batches/oproofs/s00002-r00006140-n000004.json
index 2e281aab51d44fab68f4fadd3fe29ccf2cf677a0..cb2c2dab012cbcbcfa36c9a639091609f10074f7 100644
--- a/manifests/batches/oproofs/s00002-r00006140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006140-n000004",
   "batch_fingerprint": "c92a3826334028dc81192ef8d70f6d4ad75551f03e25cc6c742b4d664e3d27c7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6140",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6141",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6142",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6143"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006140.lean\",\"ec79dd8fddc6ba2466f028669e34f9c269f1e93e34d017afea8638cf618b7974\",0,\"lean_workbook_plus_44196\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006141.lean\",\"cdd8ce1a699d966cbade343d06aa6c686a96f6d834cfcb0fd811e1a9b417ace9\",0,\"lean_workbook_plus_64700\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006142.lean\",\"c7ffe4de1121a1feeae9a050397e02b8994ac3c6bb8e1c9291168a7d9868a001\",0,\"lean_workbook_plus_81169\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006143.lean\",\"f41cd19dae46ed506f74ad395b7819d3a94aecb36104b306ead033a0a6489d28\",0,\"lean_workbook_plus_19284\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006140-n000004-0000-2c4b10c43619b94e.parquet",
-      "sha256": "2c4b10c43619b94ea33e0d7ef9e118701b9c4fe224c5441b7338b3ff3e4a4652",
       "bytes": 197666,
+      "path": "data/train/pc1/oproofs-s00002-r00006140-n000004-0000-2c4b10c43619b94e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
+      "sha256": "2c4b10c43619b94ea33e0d7ef9e118701b9c4fe224c5441b7338b3ff3e4a4652"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006140-n000004-0000-75d9d400aea08855.parquet",
-      "sha256": "75d9d400aea08855ffb5964fa4b69229c856e8e0cd1bd7c63ca46de4e2e32d6b",
       "bytes": 995040,
+      "path": "data/dev/pc1/oproofs-s00002-r00006140-n000004-0000-75d9d400aea08855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
+      "sha256": "75d9d400aea08855ffb5964fa4b69229c856e8e0cd1bd7c63ca46de4e2e32d6b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006140-n000004-0000-4052d4cec4394e62.parquet",
-      "sha256": "4052d4cec4394e626c941fbf5a32acb0b1a7e37634d9991b8268878b758ba109",
       "bytes": 90879,
+      "path": "data/internal_test/pc1/oproofs-s00002-r00006140-n000004-0000-4052d4cec4394e62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "de0993dd7fd2a0e9ffc78bcde7bf7ac0c4047dc5"
+      "sha256": "4052d4cec4394e626c941fbf5a32acb0b1a7e37634d9991b8268878b758ba109"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6140",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6141",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6142",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6143"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006140.lean\",\"ec79dd8fddc6ba2466f028669e34f9c269f1e93e34d017afea8638cf618b7974\",0,\"lean_workbook_plus_44196\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006141.lean\",\"cdd8ce1a699d966cbade343d06aa6c686a96f6d834cfcb0fd811e1a9b417ace9\",0,\"lean_workbook_plus_64700\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006142.lean\",\"c7ffe4de1121a1feeae9a050397e02b8994ac3c6bb8e1c9291168a7d9868a001\",0,\"lean_workbook_plus_81169\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006143.lean\",\"f41cd19dae46ed506f74ad395b7819d3a94aecb36104b306ead033a0a6489d28\",0,\"lean_workbook_plus_19284\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006144-n000004.json b/manifests/batches/oproofs/s00002-r00006144-n000004.json
index 9b8f71b20c6d1abe5c0cd4619221d86e22ded80c..8235b35adaae55bcfb13d7a6997cfeb15a553c8a 100644
--- a/manifests/batches/oproofs/s00002-r00006144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006144-n000004",
   "batch_fingerprint": "277752d484a03061ba5db5f33e14b7c211f57871388f9338de914aa6c6ade4a1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006144-n000004-0000-654ca0357edc29a2.parquet",
-      "sha256": "654ca0357edc29a2ee29efb272fb74240568c794ee9e3823871b89fbc55580f3",
-      "bytes": 134366,
-      "rows": 13,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006144-n000004-0000-c63223d7c0e49c61.parquet",
-      "sha256": "c63223d7c0e49c61b065c8784435ee543827b0f9fad8d442f4b6326f9b788a7f",
-      "bytes": 41635,
-      "rows": 3,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006145.lean\",\"a38828158135907423cd34e3c76aad307fd62fd0361a20876c10352eb2148215\",0,\"meal_distribution_one_correct\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006146.lean\",\"bf9fbe2eb40bde98db7e4104094a8a44c2016758b53b66203510df6eb21bd2ed\",0,\"lean_workbook_plus_6935\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006147.lean\",\"c56859fe5a4ff34adbb52d37132e0ca73e88988133c8bb916d2ce472cf47e523\",0,\"lean_workbook_27860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134366,
+      "path": "data/train/pae/oproofs-s00002-r00006144-n000004-0000-654ca0357edc29a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "654ca0357edc29a2ee29efb272fb74240568c794ee9e3823871b89fbc55580f3"
+    },
+    {
+      "bytes": 41635,
+      "path": "data/dev/pae/oproofs-s00002-r00006144-n000004-0000-c63223d7c0e49c61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c63223d7c0e49c61b065c8784435ee543827b0f9fad8d442f4b6326f9b788a7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006148-n000004.json b/manifests/batches/oproofs/s00002-r00006148-n000004.json
index e0f39047ac27edc4a9f8eb980258efd7fd1dee46..639aebad9336097c412ec9ea6cf4a9d974090b9c 100644
--- a/manifests/batches/oproofs/s00002-r00006148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006148-n000004",
   "batch_fingerprint": "28a042b7a1027f4cf70696a6a8cd9db71ede7271d529b764e6b3e18c02aaa490",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006148-n000004-0000-a8bf7a23d9583401.parquet",
-      "sha256": "a8bf7a23d958340169841318230513abe97f3b0f4c6cb8cc773c338accf34dcb",
-      "bytes": 202307,
-      "rows": 15,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006148-n000004-0000-c1103f19d4d21c67.parquet",
-      "sha256": "c1103f19d4d21c67ec0dff86bd9116d4fa353a84fa1b1b89bcf9abad3362f553",
-      "bytes": 56159,
-      "rows": 5,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006149.lean\",\"c5c37872c07a9d638dc959998b6027a00c1a50b98c554df1c0a405318f7cb346\",0,\"lean_workbook_plus_14469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006150.lean\",\"c71894b869c88215465f92b1e951b170a3c13ab2d8e62c80bf07d883c197736e\",0,\"set_union_complement_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006151.lean\",\"a1cd903efb7d64e3c2c3705c3b3e2a2216447a771495aa442f1d33999479c48e\",0,\"lean_workbook_plus_45212\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202307,
+      "path": "data/train/p59/oproofs-s00002-r00006148-n000004-0000-a8bf7a23d9583401.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a8bf7a23d958340169841318230513abe97f3b0f4c6cb8cc773c338accf34dcb"
+    },
+    {
+      "bytes": 56159,
+      "path": "data/internal_test/p59/oproofs-s00002-r00006148-n000004-0000-c1103f19d4d21c67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c1103f19d4d21c67ec0dff86bd9116d4fa353a84fa1b1b89bcf9abad3362f553"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006152-n000004.json b/manifests/batches/oproofs/s00002-r00006152-n000004.json
index 82dab9de18f5928d7220d1b99ddd6793b13953bc..f6c212993cf7ae8f5368f2fdb553acbc5957e795 100644
--- a/manifests/batches/oproofs/s00002-r00006152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006152-n000004",
   "batch_fingerprint": "c6a7a6f46594a664c3fd8a45f1e654f8a5a00ad5d90f22b97f036c1443a2adce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006152-n000004-0000-b4cf4ffca1df15b5.parquet",
-      "sha256": "b4cf4ffca1df15b5d29f6f0b8e40734431586a5ba1570b4dbfe864bcfab6b828",
-      "bytes": 911183,
-      "rows": 21,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006152-n000004-0001-d5be710197ff0b79.parquet",
-      "sha256": "d5be710197ff0b791a52c8d9edfdd71bec39ddbbc5dad4d65bb40e1187ac41ad",
-      "bytes": 286772,
-      "rows": 10,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6153",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006153.lean\",\"26ddbea657bd6ac35c2a0e2b62fa97b0ced5e749aa7f029ba06585658594650f\",0,\"lean_workbook_plus_15397\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006154.lean\",\"9ce1e6b1e9d0a7ccbcdc40df79c5154182490b00d8e967c39138d76f39e44f4f\",0,\"lean_workbook_plus_16486\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006155.lean\",\"308db8eda98f9eb8f2eecdfab0a0b6e12da4644b51d55aa393b38ebb38ce443c\",0,\"lean_workbook_plus_62146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 911183,
+      "path": "data/train/pb3/oproofs-s00002-r00006152-n000004-0000-b4cf4ffca1df15b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b4cf4ffca1df15b5d29f6f0b8e40734431586a5ba1570b4dbfe864bcfab6b828"
+    },
+    {
+      "bytes": 286772,
+      "path": "data/train/pb3/oproofs-s00002-r00006152-n000004-0001-d5be710197ff0b79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d5be710197ff0b791a52c8d9edfdd71bec39ddbbc5dad4d65bb40e1187ac41ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006156-n000004.json b/manifests/batches/oproofs/s00002-r00006156-n000004.json
index 72b0b38254436b12c3a1c6813c7441fa75d0eb84..fa5b3ceed211fb160ab0c4d0a98ab98fbe09540f 100644
--- a/manifests/batches/oproofs/s00002-r00006156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006156-n000004",
   "batch_fingerprint": "b95d1276519eed0c59613a98a3c8aa172512c4614e0972031d4ef3dba7c6f696",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006156-n000004-0000-2f45d5cc69059d20.parquet",
-      "sha256": "2f45d5cc69059d20b548aa722344de57d39a1da16baa60aac22920f76db4ff1f",
-      "bytes": 148643,
-      "rows": 17,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006156-n000004-0000-724cddd94aaf28d7.parquet",
-      "sha256": "724cddd94aaf28d79e989aff8046e317fd6c17ebaf60ba60d5333a15fd37c0c6",
-      "bytes": 174795,
-      "rows": 5,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006157.lean\",\"5d419c06f828ba197f4e2a2b9b4abc63304605d01a9d90a38e6ec0198a14f337\",0,\"lean_workbook_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006158.lean\",\"ba1835001595d8a0636430f1824e253a627072e0050fc2f91685ad0cab0173c0\",0,\"lean_workbook_plus_38941\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006159.lean\",\"ac99d57fa349a9d3f6994190482bc8313f7b078d2216857a6efca4ba248d99f1\",0,\"lean_workbook_plus_24398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148643,
+      "path": "data/train/pd8/oproofs-s00002-r00006156-n000004-0000-2f45d5cc69059d20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2f45d5cc69059d20b548aa722344de57d39a1da16baa60aac22920f76db4ff1f"
+    },
+    {
+      "bytes": 174795,
+      "path": "data/dev/pd8/oproofs-s00002-r00006156-n000004-0000-724cddd94aaf28d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "724cddd94aaf28d79e989aff8046e317fd6c17ebaf60ba60d5333a15fd37c0c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006160-n000004.json b/manifests/batches/oproofs/s00002-r00006160-n000004.json
index 6cfd6c7098159c981a4e1d2b9726b616df18c5e8..7bf10ddefae48c0c3d5209e3dfb5db670ee08c9b 100644
--- a/manifests/batches/oproofs/s00002-r00006160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006160-n000004",
   "batch_fingerprint": "41a2195d7c2eba2f04c6705459d0ec6c0415facf15c9bf02e805a396d03987bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006160-n000004-0000-df21a482ed8b89a0.parquet",
-      "sha256": "df21a482ed8b89a0706e7e87c23e73187b7dc6d52c0c7ced11e7b0fe58085d5b",
-      "bytes": 147236,
-      "rows": 14,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006160-n000004-0000-e7d4bf49a93a7f15.parquet",
-      "sha256": "e7d4bf49a93a7f153ab2ff55c9bf9b66174392f651b4e80ddcf10030af318dce",
-      "bytes": 98796,
-      "rows": 6,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6161",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006161.lean\",\"1163d04fc0d5d7ac6e194b960ba79d06f73a5bb222381a29938cd337826c0be5\",0,\"lean_workbook_plus_5456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006162.lean\",\"8cbeb18b5283a3197c5b644610c6b39506631409e3637ba5f1e7d4f472a27cce\",0,\"lean_workbook_47494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006163.lean\",\"b7b55573d58d4d08c6690edce066a4da873c2365b723cad558cef992e05f48e3\",0,\"lean_workbook_plus_19146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147236,
+      "path": "data/train/pa9/oproofs-s00002-r00006160-n000004-0000-df21a482ed8b89a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "df21a482ed8b89a0706e7e87c23e73187b7dc6d52c0c7ced11e7b0fe58085d5b"
+    },
+    {
+      "bytes": 98796,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00006160-n000004-0000-e7d4bf49a93a7f15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e7d4bf49a93a7f153ab2ff55c9bf9b66174392f651b4e80ddcf10030af318dce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006164-n000004.json b/manifests/batches/oproofs/s00002-r00006164-n000004.json
index 75cb0561015c447704324462d7c4ef5ef3386c1e..aeaad730510b1a1ff1fd525fd76ea639057c2a41 100644
--- a/manifests/batches/oproofs/s00002-r00006164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006164-n000004",
   "batch_fingerprint": "8509ae3e3069e813556c1b7b3df2ca32d6877b2a9ec565d4d5e30d1dc7a73f69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006164-n000004-0000-878ebde463600c63.parquet",
-      "sha256": "878ebde463600c6323e3df9a9422ad88b95a823f01e6157c6361cde84376a2ff",
-      "bytes": 207557,
-      "rows": 18,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6165",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006165.lean\",\"36872fc5f52c8373fa080225dd5c3072357ee7f9a55f16415da55d96070eb3ae\",0,\"lean_workbook_plus_82134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006166.lean\",\"cd756e0e3cec68ebb3ba048c0d1676010005e243a5616ef181df879b8cce4c3a\",0,\"lean_workbook_plus_27586\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006167.lean\",\"d13e43af1807dbf4fd741ee173057a0530d6173c20b3749194fd3b62e75e8b82\",0,\"lean_workbook_plus_69657\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207557,
+      "path": "data/train/p79/oproofs-s00002-r00006164-n000004-0000-878ebde463600c63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "878ebde463600c6323e3df9a9422ad88b95a823f01e6157c6361cde84376a2ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006168-n000004.json b/manifests/batches/oproofs/s00002-r00006168-n000004.json
index 538547fcc452c2d94eda11e21da8759d8ecc3b4c..751beee505bae32e5cd6609d1b0264d58efb0dff 100644
--- a/manifests/batches/oproofs/s00002-r00006168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006168-n000004",
   "batch_fingerprint": "aa98acd7a684624a9c09af4dff7e274806170643e997d411b039d9116c00d66c",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6168",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6169",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6170",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6171"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006168.lean\",\"97f9eb54a08e2567abf70a6de6f69624f6cef3b3d82687da26dd0d9fbab64c9e\",0,\"lean_workbook_plus_59547\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006169.lean\",\"381e5a5cadb33f0bdf0c6d59ef45856e07badfa3da2fe2bf12510491c5b4e913\",0,\"lean_workbook_plus_74734\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006170.lean\",\"b92b2cd6bd7e1c07d273d426df037c28f61b723b719836f53ff34b8e0f3a5f84\",0,\"lean_workbook_plus_1563\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006171.lean\",\"eb65093babb58ad6715b9fdbf6720d1a63a2c70d3ebbb78890b9287d66954cd6\",0,\"lean_workbook_plus_50835\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006168-n000004-0000-1db7df8315e6ad2d.parquet",
-      "sha256": "1db7df8315e6ad2d7ed3552a6e4c5906a2e539c2ec6861745910ecffa9b36909",
       "bytes": 233239,
+      "path": "data/train/p09/oproofs-s00002-r00006168-n000004-0000-1db7df8315e6ad2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
+      "sha256": "1db7df8315e6ad2d7ed3552a6e4c5906a2e539c2ec6861745910ecffa9b36909"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006168-n000004-0001-000ce14ad9665958.parquet",
-      "sha256": "000ce14ad96659583adc54a8491325136b53c9046b4e30b73178f8fd99203380",
       "bytes": 826962,
+      "path": "data/train/p09/oproofs-s00002-r00006168-n000004-0001-000ce14ad9665958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
+      "sha256": "000ce14ad96659583adc54a8491325136b53c9046b4e30b73178f8fd99203380"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006168-n000004-0002-5c276c18e3db8959.parquet",
-      "sha256": "5c276c18e3db8959279d35089aefa9f83742c6be7a06894e64f93c43f69368f1",
       "bytes": 58019,
+      "path": "data/train/p09/oproofs-s00002-r00006168-n000004-0002-5c276c18e3db8959.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
+      "sha256": "5c276c18e3db8959279d35089aefa9f83742c6be7a06894e64f93c43f69368f1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6168",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6169",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6170",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6171"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006168.lean\",\"97f9eb54a08e2567abf70a6de6f69624f6cef3b3d82687da26dd0d9fbab64c9e\",0,\"lean_workbook_plus_59547\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006169.lean\",\"381e5a5cadb33f0bdf0c6d59ef45856e07badfa3da2fe2bf12510491c5b4e913\",0,\"lean_workbook_plus_74734\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006170.lean\",\"b92b2cd6bd7e1c07d273d426df037c28f61b723b719836f53ff34b8e0f3a5f84\",0,\"lean_workbook_plus_1563\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006171.lean\",\"eb65093babb58ad6715b9fdbf6720d1a63a2c70d3ebbb78890b9287d66954cd6\",0,\"lean_workbook_plus_50835\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006172-n000004.json b/manifests/batches/oproofs/s00002-r00006172-n000004.json
index 3bbb7ca4813f4367a7c93606be3e028bde366dd9..d40a353f52658ee9b213dc18b88a498067a39d9c 100644
--- a/manifests/batches/oproofs/s00002-r00006172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006172-n000004",
   "batch_fingerprint": "1ff02858c5e30d5a12e6b68809daf8b8e34b21f878875e3dd668f643b504ae98",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000006/oproofs-s00002-r00006172-n000004-0000-f5ba7ecc8e8aa511.parquet",
-      "sha256": "f5ba7ecc8e8aa511966599601bc0be0d5bb5e004303b96e407c5d813fba0c7d1",
-      "bytes": 96169,
-      "rows": 6,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000006/oproofs-s00002-r00006172-n000004-0000-30893f4bbc771fe2.parquet",
-      "sha256": "30893f4bbc771fe22a78c6f20f17ba15de3dd2b61d771e9c75443cebe0d2d089",
-      "bytes": 49823,
-      "rows": 4,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6173",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006172.lean\",\"e885367e3922333cd804dc6e36ad2de64361bd0ac82ae9a9bd19c8d18140810d\",0,\"lean_workbook_plus_19479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006173.lean\",\"91e2989c58145f2f92178dc6e363da184225978c071ef3eccaccb95d95c23780\",0,\"quadratic_function_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006174.lean\",\"e2e60ff5112fa6f8fbda0f79b0c64cbcf1ab43dbce7a5a1d4d4625909d4b1317\",0,\"lean_workbook_35101\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96169,
+      "path": "data/train/pf4/oproofs-s00002-r00006172-n000004-0000-f5ba7ecc8e8aa511.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f5ba7ecc8e8aa511966599601bc0be0d5bb5e004303b96e407c5d813fba0c7d1"
+    },
+    {
+      "bytes": 49823,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00006172-n000004-0000-30893f4bbc771fe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "30893f4bbc771fe22a78c6f20f17ba15de3dd2b61d771e9c75443cebe0d2d089"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006176-n000004.json b/manifests/batches/oproofs/s00002-r00006176-n000004.json
index 482477520d7ed709f9c966c238f951e1c2d85c5f..202fdd5b66a5d12a1dac76d003f2861a11cdc895 100644
--- a/manifests/batches/oproofs/s00002-r00006176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006176-n000004",
   "batch_fingerprint": "bd62288dbcb012854d9b882f11081f21251195e667427f48c564f8ea455591aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006176-n000004-0000-f7d420206fe20eb1.parquet",
-      "sha256": "f7d420206fe20eb120237b34d2a72769c5b44cf43cd663386ab2fd16eb9c2ab0",
-      "bytes": 129207,
-      "rows": 10,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006176-n000004-0000-98decb704e5b054d.parquet",
-      "sha256": "98decb704e5b054d8316d269966ca14e03f6d63e0562db816be2f992b564e4a8",
-      "bytes": 179585,
-      "rows": 22,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006177.lean\",\"ca082e4d71e1a44eeb1e415d830f27426e4fe9e0da659fb99bab3e30aa4cb08d\",0,\"lean_workbook_plus_47455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006178.lean\",\"9af73ed80fdd259a54d1f473bb18cce56ade2b8b77d5d7dbdfe15d7519b4152d\",0,\"lean_workbook_39562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006179.lean\",\"4a95da486bd3479f06e92a3cf714557ea8f70cddb53a83b444a5eeed0f8d2e4c\",0,\"binomial_confidence_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129207,
+      "path": "data/train/pb7/oproofs-s00002-r00006176-n000004-0000-f7d420206fe20eb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f7d420206fe20eb120237b34d2a72769c5b44cf43cd663386ab2fd16eb9c2ab0"
+    },
+    {
+      "bytes": 179585,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00006176-n000004-0000-98decb704e5b054d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "98decb704e5b054d8316d269966ca14e03f6d63e0562db816be2f992b564e4a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006180-n000004.json b/manifests/batches/oproofs/s00002-r00006180-n000004.json
index 874adac09b5e4bb4fe6da3313c1a386325042861..e3217b7e3c6b6270340dbcb8d2e8c2bf01f196eb 100644
--- a/manifests/batches/oproofs/s00002-r00006180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006180-n000004",
   "batch_fingerprint": "4dc73b816c4b0decf4016191716e5dfd01c08c55a25cb648058ab58042b58da5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006180-n000004-0000-065fe78d7352997e.parquet",
-      "sha256": "065fe78d7352997e70c4a1c9021604b46e845b6b1d4234e5d19a66592b134d77",
-      "bytes": 92839,
-      "rows": 6,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006180-n000004-0000-305d2d30427950eb.parquet",
-      "sha256": "305d2d30427950ebfbb5f6aceccda7f5d5168a4a6e7885ab5ea56f0b34d94676",
-      "bytes": 95209,
-      "rows": 8,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006181.lean\",\"c528428a8bdd7a0f23aa866e617f57ba237844de3a4359c6fd8e2ce5c77e19b9\",0,\"lean_workbook_plus_78757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006182.lean\",\"d32397380984d2d40be214dab8c3888c7e6aec961ad5bb551bb45f5109258000\",0,\"lean_workbook_plus_76806\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006183.lean\",\"e5b0ba6d3c115220a573893e32e447d77236645a8df6b50c5b98c3519311f43f\",0,\"lean_workbook_17303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92839,
+      "path": "data/train/p80/oproofs-s00002-r00006180-n000004-0000-065fe78d7352997e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "065fe78d7352997e70c4a1c9021604b46e845b6b1d4234e5d19a66592b134d77"
+    },
+    {
+      "bytes": 95209,
+      "path": "data/internal_test/p80/oproofs-s00002-r00006180-n000004-0000-305d2d30427950eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "305d2d30427950ebfbb5f6aceccda7f5d5168a4a6e7885ab5ea56f0b34d94676"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006184-n000004.json b/manifests/batches/oproofs/s00002-r00006184-n000004.json
index 0f2ec881d1e36b47b27d0db2ff8d0d730ba46e5f..443d6789cf02deac3f9c46510d3a9ad5eae6119c 100644
--- a/manifests/batches/oproofs/s00002-r00006184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006184-n000004",
   "batch_fingerprint": "039822edfcd9d5de193d208edb6525be891c89d7454ac9a0e686c038dbe0d694",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006184-n000004-0000-771bbcbd94e8aad7.parquet",
-      "sha256": "771bbcbd94e8aad788fe61e78a5bd93691f1b158e2a09c3f16ae00a5e8082f9a",
-      "bytes": 619740,
-      "rows": 30,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006185.lean\",\"f4e0b0c22645bb01d0c63528db08b552070ff7be7b98cfa251551bb9c4a9a689\",0,\"lean_workbook_plus_50009\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006186.lean\",\"cb1d9968b21691c6a8f3a00c6c18d1f8c2bb9155a08cd930d4ce76868dbc3baf\",0,\"range_of_function_bounds\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006187.lean\",\"131e1146b9def83b766dc4d1ca2cb4b7e6c2db3c05d275057f334a624c41e35a\",0,\"lean_workbook_plus_10980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 619740,
+      "path": "data/train/pdc/oproofs-s00002-r00006184-n000004-0000-771bbcbd94e8aad7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "771bbcbd94e8aad788fe61e78a5bd93691f1b158e2a09c3f16ae00a5e8082f9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006188-n000004.json b/manifests/batches/oproofs/s00002-r00006188-n000004.json
index ac25b3c7c1cd2571448982957fcea6d1928699ce..f7d78adfba1c4396aba9ea726f2c530f9e204680 100644
--- a/manifests/batches/oproofs/s00002-r00006188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006188-n000004",
   "batch_fingerprint": "de5eae472beaaa31d2e91124d7ea62afa8051eec312b289577e8b1686fc02b5a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006188-n000004-0000-4486056d213f0ef3.parquet",
-      "sha256": "4486056d213f0ef3ba1f452f8dae433744ddcc776fc41cec83072aaff2d1f2e7",
-      "bytes": 307342,
-      "rows": 12,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006188-n000004-0000-5322e052fce32571.parquet",
-      "sha256": "5322e052fce32571dbc46038afd44c598d332055e119832438e1bd92faf6b16c",
-      "bytes": 35549,
-      "rows": 2,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006189.lean\",\"c5fe0c152931d4af7059a0bf0975100463f7928d06a3b7fd239bb1ecbdb15abe\",0,\"lean_workbook_plus_30113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006190.lean\",\"d1854744c31ca47ff8e369d5e2799fe2efc481b3cd0435710a8ee4683b0de3e0\",0,\"lean_workbook_plus_65405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006191.lean\",\"83bd74895736bd10c977e82388954352a6076d70de3c14dad02ecd4f8a07f5e2\",0,\"lean_workbook_plus_56546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307342,
+      "path": "data/train/p2d/oproofs-s00002-r00006188-n000004-0000-4486056d213f0ef3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4486056d213f0ef3ba1f452f8dae433744ddcc776fc41cec83072aaff2d1f2e7"
+    },
+    {
+      "bytes": 35549,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00006188-n000004-0000-5322e052fce32571.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5322e052fce32571dbc46038afd44c598d332055e119832438e1bd92faf6b16c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006192-n000004.json b/manifests/batches/oproofs/s00002-r00006192-n000004.json
index b9d9423c99abb993023316eed4650491a056c545..f3f158c9f32bd3e14e76771181db2f74836db232 100644
--- a/manifests/batches/oproofs/s00002-r00006192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006192-n000004",
   "batch_fingerprint": "ea5423a7a21bf7e15d09ed37b30dbaa958ecf5d1c8a81f1c8eb46b0d4fe172b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006192-n000004-0000-71adff904547de89.parquet",
-      "sha256": "71adff904547de89ed31e9f815cf67ad8364a0d4d54665da10838615716abc50",
-      "bytes": 82429,
-      "rows": 6,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006192-n000004-0000-4fc04d191ee7acf0.parquet",
-      "sha256": "4fc04d191ee7acf0f303be199f700eb2041ffc8b7dc9941bf3f7dde63a2cea20",
-      "bytes": 59589,
-      "rows": 2,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006193.lean\",\"0ed10b2cf176605587324b6ebe729d428c97d8e424dd95feafc85758195ac53a\",0,\"lean_workbook_39161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006194.lean\",\"7da2d67335fd1e9b86a717e27ce44f5f04ae7c93588c7cfdbd34bd0e93f0286d\",0,\"lean_workbook_plus_28215\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006195.lean\",\"190cf09dbac1702d5a688e8b3b17f51873ac5d3877e37481da1e5420f891154e\",0,\"lean_workbook_plus_44009\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82429,
+      "path": "data/train/p4c/oproofs-s00002-r00006192-n000004-0000-71adff904547de89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "71adff904547de89ed31e9f815cf67ad8364a0d4d54665da10838615716abc50"
+    },
+    {
+      "bytes": 59589,
+      "path": "data/dev/p4c/oproofs-s00002-r00006192-n000004-0000-4fc04d191ee7acf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4fc04d191ee7acf0f303be199f700eb2041ffc8b7dc9941bf3f7dde63a2cea20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006196-n000004.json b/manifests/batches/oproofs/s00002-r00006196-n000004.json
index aa98768e8d95798c24396432e4243352bc42ebfc..99deac1c91f2d193c2d1a98460f94e0feed6f0c1 100644
--- a/manifests/batches/oproofs/s00002-r00006196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006196-n000004",
   "batch_fingerprint": "185340625b8d23490ecaf7f6f3aaf156c085e716b5e38df46a3c3a38d6639817",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006196-n000004-0000-444be3f91bf332d0.parquet",
-      "sha256": "444be3f91bf332d0704115e00f9d26113286f87a1cd655621522e5e3887c8896",
-      "bytes": 362779,
-      "rows": 22,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006197.lean\",\"3542ee4890040155fd3d1cf40909b67ca8a9611f7418faf0b05e1d7068302736\",0,\"lean_workbook_13428\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006198.lean\",\"a6af66d5d21c558af3f3c4dfba04e3dbfcab536b523bd15eaf753d25bc3f491c\",0,\"lean_workbook_plus_60608\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006199.lean\",\"69e8f31346c5184cfb0343b2f1ddb8aa3ef3028afeabf7dea304eb0f7f20576d\",0,\"lean_workbook_plus_44522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362779,
+      "path": "data/train/p25/oproofs-s00002-r00006196-n000004-0000-444be3f91bf332d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "444be3f91bf332d0704115e00f9d26113286f87a1cd655621522e5e3887c8896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006200-n000004.json b/manifests/batches/oproofs/s00002-r00006200-n000004.json
index f78998c1e1ed184967bf87d19e38e183621205a0..a151dcabe0f03ae8588b3c3c51420948dcc54c94 100644
--- a/manifests/batches/oproofs/s00002-r00006200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006200-n000004",
   "batch_fingerprint": "662afd930283891d3831ac43780136ba883b15f1bab5aa9403f963d122eed89d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006200-n000004-0000-631e0b59de020741.parquet",
-      "sha256": "631e0b59de020741c2773215fded481ab2f27b6afc6a5800f4660060c97d0983",
-      "bytes": 862388,
-      "rows": 11,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006200-n000004-0000-0ddab9d8d68c0b0e.parquet",
-      "sha256": "0ddab9d8d68c0b0e554eb463534e6970d85d3871079ab0b5e9e5683ef14427f0",
-      "bytes": 93463,
-      "rows": 10,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006201.lean\",\"0a5d7bf05709d0210a7ea16eb5445023450d1a393d3494a08f2987d8ca6a0fab\",0,\"lean_workbook_plus_80641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006202.lean\",\"686faed9b7ff6f33b8fcc593162cfc5e0961e3780a990eeec9875b34234462b5\",0,\"lean_workbook_plus_58245\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006203.lean\",\"5d0b22e44510f1f761ed462c3a108f3ca51897f79092ad93f460f8e84eb8f48b\",0,\"lean_workbook_16901\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 862388,
+      "path": "data/train/p32/oproofs-s00002-r00006200-n000004-0000-631e0b59de020741.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "631e0b59de020741c2773215fded481ab2f27b6afc6a5800f4660060c97d0983"
+    },
+    {
+      "bytes": 93463,
+      "path": "data/dev/p32/oproofs-s00002-r00006200-n000004-0000-0ddab9d8d68c0b0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0ddab9d8d68c0b0e554eb463534e6970d85d3871079ab0b5e9e5683ef14427f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006204-n000004.json b/manifests/batches/oproofs/s00002-r00006204-n000004.json
index 6c234871524003eb2c927836fc8afaeca936d1b5..82bbe6bfda51dd3f054c06967a46db139c2a695f 100644
--- a/manifests/batches/oproofs/s00002-r00006204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006204-n000004",
   "batch_fingerprint": "061b343429f1b55365eb903b622bde8070c7d895bbda4a433c504bfb626b78ab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006204-n000004-0000-e0d5e63662f7fd3b.parquet",
-      "sha256": "e0d5e63662f7fd3bec625d71cfdfb81a89d5b39a3f6a7cc0cc9bb859bb38a239",
-      "bytes": 187256,
-      "rows": 14,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6205",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006205.lean\",\"446950a36af30bfeaa6131eaaeb4606b1beeae5140f45cdb2ae27ef29e09ddd8\",0,\"lean_workbook_plus_63553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006206.lean\",\"272885f7e49b0f860e9b0c0fd09261c436b76c53754ca61b6655542c1a8d7c0f\",0,\"lean_workbook_plus_71331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006207.lean\",\"920f9bbb03f284a568c021ffc6d98ebf67abedcdc3955054c15dbb0c2f0b497b\",0,\"lean_workbook_plus_56169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187256,
+      "path": "data/train/p01/oproofs-s00002-r00006204-n000004-0000-e0d5e63662f7fd3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e0d5e63662f7fd3bec625d71cfdfb81a89d5b39a3f6a7cc0cc9bb859bb38a239"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006208-n000004.json b/manifests/batches/oproofs/s00002-r00006208-n000004.json
index 2a6a7440ac845c8704f1254055eabbd8061133f7..9dfab4173752fc0962b3b576420efa91afbc1088 100644
--- a/manifests/batches/oproofs/s00002-r00006208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006208-n000004",
   "batch_fingerprint": "209def35f3313c857e205e21ab282c1e0ce306110209b1ce691c535489834b0c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006208-n000004-0000-6f6ba6ab9e1a93ee.parquet",
-      "sha256": "6f6ba6ab9e1a93ee707fa585628e2821df82a2276841198f27db2f89add405c7",
-      "bytes": 596571,
-      "rows": 23,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6209",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006209.lean\",\"a125719b77565446c7283b4f0f9c5eb1e40bb6f7139f2199065139e4cafe9716\",0,\"lean_workbook_plus_30411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006210.lean\",\"265980b90f346ef25a723b2b3d8693b6479045fb9e370f7940a4429a31ff8b44\",0,\"lean_workbook_plus_43127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006211.lean\",\"7de06219dc94acde9338815a604823759798be790541c9ad941d12d004fcc6a7\",0,\"lean_workbook_plus_70325\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 596571,
+      "path": "data/train/pd7/oproofs-s00002-r00006208-n000004-0000-6f6ba6ab9e1a93ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6f6ba6ab9e1a93ee707fa585628e2821df82a2276841198f27db2f89add405c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006212-n000004.json b/manifests/batches/oproofs/s00002-r00006212-n000004.json
index f1b4029aa2f02736ad48dc8697420905a8687f06..3404a2c0a0bc4f9a4b9b700fc81bd13a6134db03 100644
--- a/manifests/batches/oproofs/s00002-r00006212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006212-n000004",
   "batch_fingerprint": "52352f7b0b991d0e0cf810d7b6f50fa25ac24a6aa30257317d7dd16e33257abf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006212-n000004-0000-81d769d506451280.parquet",
-      "sha256": "81d769d5064512806b83bde022a6f36b944fa842f70291289692f58f44eddc72",
-      "bytes": 226528,
-      "rows": 26,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006213.lean\",\"7bdf7cf783a60723b770757ca2bb3648cb3ca7e09126d80d7ae19e95ae3b10dc\",0,\"lean_workbook_plus_66688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006214.lean\",\"48a00d73359b415cc3656621cc4473230adc2022a77f8c2fe01056e7651eb200\",0,\"lean_workbook_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006215.lean\",\"2fe54b0384b551481f5ac2d67c8646f7e6a5e3f2ca4f8c589070af28aece68e2\",0,\"lean_workbook_plus_42134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226528,
+      "path": "data/train/p0a/oproofs-s00002-r00006212-n000004-0000-81d769d506451280.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "81d769d5064512806b83bde022a6f36b944fa842f70291289692f58f44eddc72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006216-n000004.json b/manifests/batches/oproofs/s00002-r00006216-n000004.json
index 6a08b232857e5ffc1e69c621c6c0a55bd653ef9c..97730ee89e1db871a22045e4a371090234e7f286 100644
--- a/manifests/batches/oproofs/s00002-r00006216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006216-n000004",
   "batch_fingerprint": "3d8efa423758c8544fbd1149cac7d9e2a8ee24e2733908ccb1b12029cd20a617",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006216-n000004-0000-566ba29952b57055.parquet",
-      "sha256": "566ba29952b57055f112633ebae6562517e8453c7a43674c8cabdf49a3d47889",
-      "bytes": 306194,
-      "rows": 15,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006217.lean\",\"2e2096226562990bf0e8435e65b941bf2212d3da4191c4959ffc2dfabc0245d7\",0,\"lean_workbook_47494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006218.lean\",\"14610589156d43c68be99afbc13fece02ca82f0e5bdd3ba96d2ae9a38698bec8\",0,\"lean_workbook_plus_72333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006219.lean\",\"d4b88ae117fd1817fc47e61baab912b0ed28613eebbc7fc5fce2c345c1b04c4d\",0,\"lean_workbook_plus_19146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306194,
+      "path": "data/train/pa8/oproofs-s00002-r00006216-n000004-0000-566ba29952b57055.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "566ba29952b57055f112633ebae6562517e8453c7a43674c8cabdf49a3d47889"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006220-n000004.json b/manifests/batches/oproofs/s00002-r00006220-n000004.json
index 1638dfe68db88c91392232ae4ed01b84fe75d8a7..db3ef2fe50ca124156ce3bd0aae34c916f0692ca 100644
--- a/manifests/batches/oproofs/s00002-r00006220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006220-n000004",
   "batch_fingerprint": "a759104a422b5678ec6b7046a8fad26df20201642ec3aedd28258111a797f3fd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006220-n000004-0000-38b23dca9251ceab.parquet",
-      "sha256": "38b23dca9251ceab241029ada3b8e0096ec598edb37a422078e3cf0b4a1a9ffc",
-      "bytes": 72024,
-      "rows": 8,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006220-n000004-0000-67ff149f6eeb8cee.parquet",
-      "sha256": "67ff149f6eeb8ceed3ed04554f61c17e20c244c8c0853d572f6daaba56259809",
-      "bytes": 59593,
-      "rows": 7,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006221.lean\",\"15873c54f8ba2236878610e0bd3974535a990a5dccb53780dacdb07914986b21\",0,\"lean_workbook_plus_82134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006222.lean\",\"ace86919168fd82d8327d56cafcf6b669430455969b21bdfb7b3b760b3822868\",0,\"lean_workbook_plus_34653\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006223.lean\",\"088fe150fe04a67d6bf0f14d904e40275bd4a7bd1beb4506c15b446def0b4ffb\",0,\"lean_workbook_plus_19479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72024,
+      "path": "data/train/p59/oproofs-s00002-r00006220-n000004-0000-38b23dca9251ceab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "38b23dca9251ceab241029ada3b8e0096ec598edb37a422078e3cf0b4a1a9ffc"
+    },
+    {
+      "bytes": 59593,
+      "path": "data/internal_test/p59/oproofs-s00002-r00006220-n000004-0000-67ff149f6eeb8cee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "67ff149f6eeb8ceed3ed04554f61c17e20c244c8c0853d572f6daaba56259809"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006224-n000004.json b/manifests/batches/oproofs/s00002-r00006224-n000004.json
index d413314b03d30a2a92c16e6dff539b469fc94f17..2ff30851ca7f829a28ce0cd383016837d42b29b6 100644
--- a/manifests/batches/oproofs/s00002-r00006224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006224-n000004",
   "batch_fingerprint": "fc6edb79df83df3d05447f7b6be2f2d5e1c979ee3610546a6f7e1981d243afe3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006224-n000004-0000-9b9938939f437191.parquet",
-      "sha256": "9b9938939f4371914af9f908dbd32ca177294d277d538978d49b4e83a2fe86b6",
-      "bytes": 246220,
-      "rows": 21,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006225.lean\",\"d22495d94ac7588690996af14d6752d9ddfa63e7232aa4b2f3b49d3d4d18873f\",0,\"lean_workbook_plus_77460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006226.lean\",\"e5a39126c853fc6bd713e9e43b00f6a7cf73f6bac3667d8075772fa78f821420\",0,\"quadratic_function_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006227.lean\",\"98323046033769bed00d402b4e745935f065c1eff6f2a36308b9393c3f2f632d\",0,\"lean_workbook_plus_27586\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246220,
+      "path": "data/train/pa4/oproofs-s00002-r00006224-n000004-0000-9b9938939f437191.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9b9938939f4371914af9f908dbd32ca177294d277d538978d49b4e83a2fe86b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006228-n000004.json b/manifests/batches/oproofs/s00002-r00006228-n000004.json
index c2be455ba4ed13ecdf567ce31a1411de8e43fd66..1b9136631491db2af8773617cda2c00f470e3f99 100644
--- a/manifests/batches/oproofs/s00002-r00006228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006228-n000004",
   "batch_fingerprint": "0f116e8700f273358a9acb82878d1b0f3eaafcac65a52bc46c4ca50bd59dd9c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006228-n000004-0000-dc100c13905545ab.parquet",
-      "sha256": "dc100c13905545abb7438c99e09020b66c354a84ea6d9e055b3d03f6e625c7e2",
-      "bytes": 95210,
-      "rows": 12,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006228-n000004-0000-ed289cefaaceab00.parquet",
-      "sha256": "ed289cefaaceab00462fcbe9cf57e1f72bfd60ee401e6c872300484e114abf4b",
-      "bytes": 38084,
-      "rows": 2,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006229.lean\",\"5ca4d8eb0d30b6902ebebc69ae059b036ebed3da7739d8e51fa082d6939e2f3c\",0,\"lean_workbook_plus_31695\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006230.lean\",\"850ae3bf54b280b3a058e2ab5c24c06677db11088f8d526be14e99b6b840f488\",0,\"lean_workbook_plus_40571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006231.lean\",\"3d0f1ae8196d98f6d7fbb06e8a5f5a74bb8b206e01fc78a47bd05739ce7e3daa\",0,\"lean_workbook_plus_47455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95210,
+      "path": "data/train/pfd/oproofs-s00002-r00006228-n000004-0000-dc100c13905545ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "dc100c13905545abb7438c99e09020b66c354a84ea6d9e055b3d03f6e625c7e2"
+    },
+    {
+      "bytes": 38084,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00006228-n000004-0000-ed289cefaaceab00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ed289cefaaceab00462fcbe9cf57e1f72bfd60ee401e6c872300484e114abf4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006232-n000004.json b/manifests/batches/oproofs/s00002-r00006232-n000004.json
index 75e87684c12edf950c7b45e2ab7850ce373f8418..3efcfc2a0fbf9a6aa0df77219b1431e827d0fdbf 100644
--- a/manifests/batches/oproofs/s00002-r00006232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006232-n000004",
   "batch_fingerprint": "93e1f30ce095ad6c7c9dd096d01900513d2d7ea45a5d6a51c59d500113e43201",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006232-n000004-0000-99044fe2cbb1ecba.parquet",
-      "sha256": "99044fe2cbb1ecba2596836a9eaac013bebed9d9dc3e37100d94bdc6d3a2b434",
-      "bytes": 600516,
-      "rows": 25,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006233.lean\",\"0adfd5ab36eea6c5adc01f84c7b4056624b050503f647c1ae95cd1f9faf690eb\",0,\"lean_workbook_plus_17422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006234.lean\",\"417a2db05c53c88656afb4bed116249308267b15e2c1fc5cda6830bf8a41708c\",0,\"lean_workbook_39562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006235.lean\",\"266c64c2bf3485f29488b4ce97876f3040d846fc0a30b808b7f7efb3c0fb8a5f\",0,\"lean_workbook_plus_24194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 600516,
+      "path": "data/train/pc3/oproofs-s00002-r00006232-n000004-0000-99044fe2cbb1ecba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "99044fe2cbb1ecba2596836a9eaac013bebed9d9dc3e37100d94bdc6d3a2b434"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006236-n000004.json b/manifests/batches/oproofs/s00002-r00006236-n000004.json
index b7a7186b1ffacc69721395ad1d872caf3161fb82..f7fb0147b91a1fe1a168d37fdb168a4e2a4a65b8 100644
--- a/manifests/batches/oproofs/s00002-r00006236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006236-n000004",
   "batch_fingerprint": "a8683c2dd8da0fbe16184538abef84b6c4d19884433a1f9e6e5e45bfa5bb7370",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006236-n000004-0000-f4b5830f831711d2.parquet",
-      "sha256": "f4b5830f831711d283474773b556c4e9664cd06f8d3cb9fc40a9493e10bf614b",
-      "bytes": 58502,
-      "rows": 5,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006236-n000004-0000-7c43b797a37f4065.parquet",
-      "sha256": "7c43b797a37f4065122fbd7e337214b8082a3175d79f0437e2f7a4a163521770",
-      "bytes": 72543,
-      "rows": 8,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006237.lean\",\"4e8dc6e7e97e61951c7114492f666f9c499c5c5a51ba44a9700773c8997b6b26\",0,\"lean_workbook_plus_43541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006238.lean\",\"40a481af5cce87ea0b98ae4353740658d386f78674d41a1574aedff154285569\",0,\"lean_workbook_plus_43975\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006239.lean\",\"a54552708cfecb5bfbe25e8fecfec3b4b3e00c0ab72b6345e76e99990519e5c1\",0,\"lean_workbook_plus_78757\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58502,
+      "path": "data/train/pcf/oproofs-s00002-r00006236-n000004-0000-f4b5830f831711d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f4b5830f831711d283474773b556c4e9664cd06f8d3cb9fc40a9493e10bf614b"
+    },
+    {
+      "bytes": 72543,
+      "path": "data/internal_test/pcf/oproofs-s00002-r00006236-n000004-0000-7c43b797a37f4065.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7c43b797a37f4065122fbd7e337214b8082a3175d79f0437e2f7a4a163521770"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006240-n000004.json b/manifests/batches/oproofs/s00002-r00006240-n000004.json
index b8c0d72aa18979054f9a91dd741ad50e1fcd18de..a48113a54f876a554e01d004d2a7b5d5fb9ba79a 100644
--- a/manifests/batches/oproofs/s00002-r00006240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006240-n000004",
   "batch_fingerprint": "24ba4ed6c15a39671682e348d9e68dc35f9f6864cb3e8ecd8675b8ce88989d7a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006240-n000004-0000-b1abcc337efdd395.parquet",
-      "sha256": "b1abcc337efdd3957c6928c7de94609d7dbb8b6927cea3743c6275189547a9ff",
-      "bytes": 134497,
-      "rows": 14,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006241.lean\",\"f492ce3b6507301536b037de53ba4acf08707311a99bcb55fa1c114acd8bda7f\",0,\"lean_workbook_plus_76806\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006242.lean\",\"c9105cd6ae099b65be4ec9e12a76607cf6163a16bd9d43c04b320f8bf71f7ce7\",0,\"main_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006243.lean\",\"91978a56dbf2af7b1bdb8641307f6556723c4799fb3d802d5ab69a76fd8ec3cb\",0,\"lean_workbook_plus_40290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134497,
+      "path": "data/train/pf8/oproofs-s00002-r00006240-n000004-0000-b1abcc337efdd395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b1abcc337efdd3957c6928c7de94609d7dbb8b6927cea3743c6275189547a9ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006244-n000004.json b/manifests/batches/oproofs/s00002-r00006244-n000004.json
index 1bfa123ac49ca110185861fcb1eb2f5972c49c85..25c016bc8e464fb7bec7c3d86dd340c542542568 100644
--- a/manifests/batches/oproofs/s00002-r00006244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006244-n000004",
   "batch_fingerprint": "196923c168426127776fe37fd2bc512ca8a7831a09657a3634061acb2620362f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006244-n000004-0000-92c5f80213ad42ec.parquet",
-      "sha256": "92c5f80213ad42ec53e5c625cb540acd7d4ba1ee98edee87baa006e6acfa56d0",
-      "bytes": 573394,
-      "rows": 18,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006245.lean\",\"0fb0b89497c4da14d17f6c5607886879b7455b86b870d440062ff92a9e9a8f7a\",0,\"lean_workbook_28866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006246.lean\",\"5226699631ecd046657a750ee8bc29861f273cdcc029ff6a9922a3330c38ac5a\",0,\"lean_workbook_plus_61843\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006247.lean\",\"c5ebf0a274e3d571a481dc0753ef4e3fbc878a02fd04c73462ccd6c7c516cba3\",0,\"lean_workbook_plus_26193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 573394,
+      "path": "data/train/p94/oproofs-s00002-r00006244-n000004-0000-92c5f80213ad42ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "92c5f80213ad42ec53e5c625cb540acd7d4ba1ee98edee87baa006e6acfa56d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006248-n000004.json b/manifests/batches/oproofs/s00002-r00006248-n000004.json
index 063cd5019171d4bedccf013858466659ab9b2cf2..5cbbb7b9c08afc11ce0a734639b4958ec7bc70d5 100644
--- a/manifests/batches/oproofs/s00002-r00006248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006248-n000004",
   "batch_fingerprint": "51d38de916f0780db46d5a94b1acc74b519bd8ae784c6652fc195077a67cffe1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006248-n000004-0000-f07c1c69c81e3432.parquet",
-      "sha256": "f07c1c69c81e34327ad0b55ada2b1f3de712eeba144f307a5f2681cffaa23e8c",
-      "bytes": 185605,
-      "rows": 15,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006249.lean\",\"ded10ceaf5112eac8f3dc053fce0b43d0f9b1ecacd10b47b2d9d3dc5dbaf3261\",0,\"lean_workbook_plus_77545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006250.lean\",\"7b754f0bb1812510999d3bfa594e87b69392175f686ad5d53e543af95c3fca66\",0,\"lean_workbook_plus_30113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006251.lean\",\"923f270ffe4ae001240144e438ef86a16a62ec889672123bdb6742c13ca4f9ca\",0,\"lean_workbook_plus_56133\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185605,
+      "path": "data/train/p1f/oproofs-s00002-r00006248-n000004-0000-f07c1c69c81e3432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f07c1c69c81e34327ad0b55ada2b1f3de712eeba144f307a5f2681cffaa23e8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006252-n000004.json b/manifests/batches/oproofs/s00002-r00006252-n000004.json
index 9aacc07ae7cadaaf2e25e005abe6a60898a7c8eb..22a967800e43111e04a2d2089bfffb62807c4865 100644
--- a/manifests/batches/oproofs/s00002-r00006252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006252-n000004",
   "batch_fingerprint": "29362122e1f9bb6468f0cd6abe6729a524853b721979f1dbb71232b2e1860599",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006252-n000004-0000-715b9f46efc080f0.parquet",
-      "sha256": "715b9f46efc080f0804724eb2837580a8eebe2a58fafdd3c076a9fdefb4447f1",
-      "bytes": 85695,
-      "rows": 5,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006252-n000004-0000-5fb5a56c38a30f37.parquet",
-      "sha256": "5fb5a56c38a30f370937cdd96e6494c5c2d5d959135ba4f39fedaa65db8aff5c",
-      "bytes": 53331,
-      "rows": 2,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006253.lean\",\"de4351fc3b404570d7b30be16599e17b77ec9dc5abc481c2dccbeb608f9567df\",0,\"lean_workbook_plus_50898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006254.lean\",\"b1b760a28e1896d0dabe8efb69a8f373661a5e1beef53b88c34ff601eb83a529\",0,\"lean_workbook_plus_28215\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006255.lean\",\"6acfebcfa8ac6c34c71260d4855a5cba1fcaf545e4b1ab26069dc78e4da83554\",0,\"lean_workbook_39161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85695,
+      "path": "data/train/p16/oproofs-s00002-r00006252-n000004-0000-715b9f46efc080f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "715b9f46efc080f0804724eb2837580a8eebe2a58fafdd3c076a9fdefb4447f1"
+    },
+    {
+      "bytes": 53331,
+      "path": "data/dev/p16/oproofs-s00002-r00006252-n000004-0000-5fb5a56c38a30f37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5fb5a56c38a30f370937cdd96e6494c5c2d5d959135ba4f39fedaa65db8aff5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006256-n000004.json b/manifests/batches/oproofs/s00002-r00006256-n000004.json
index df2f26c7a4036a05a9c1efd74e8a18da0f547820..fa6d8572b78450b1d1529c9f4baaa4cf83ff924b 100644
--- a/manifests/batches/oproofs/s00002-r00006256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006256-n000004",
   "batch_fingerprint": "6dc90b1109c67988df6222b0b72983b957d0165b36daa933da012cbbe20d58e5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006256-n000004-0000-f18fd4b0145e395a.parquet",
-      "sha256": "f18fd4b0145e395af58f10f3e55a292b156120fb3df0d93e3e1a5681203e24af",
-      "bytes": 403929,
-      "rows": 18,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006257.lean\",\"75ea383f840da02f1ad47abe3d9109a7f983eb3095945d593feefcbdc82be144\",0,\"lean_workbook_plus_44009\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006258.lean\",\"ab0bc660880a314450d9d7b261ea6a264fe286c038a2e60015ae2420cdd8f3aa\",0,\"lean_workbook_plus_63560\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006259.lean\",\"0c7b5f73559915c96232eaf5430109a069314dab816f38854a7c343f58e4883e\",0,\"lean_workbook_plus_60608\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 403929,
+      "path": "data/train/p85/oproofs-s00002-r00006256-n000004-0000-f18fd4b0145e395a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f18fd4b0145e395af58f10f3e55a292b156120fb3df0d93e3e1a5681203e24af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006260-n000004.json b/manifests/batches/oproofs/s00002-r00006260-n000004.json
index 3aab7d4aae3a559e41a634a03f645ac4649e7a41..fbee8d2c6e25644fadd6b46146c7d56e48db22ba 100644
--- a/manifests/batches/oproofs/s00002-r00006260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006260-n000004",
   "batch_fingerprint": "c93ca6c1f9af7cbabeed3069a5af45fc8b078b4739ea6c49f9171bae6809789c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006260-n000004-0000-c0ab03287fc8bd9e.parquet",
-      "sha256": "c0ab03287fc8bd9e9540a6e48b4f6b07b68b5d2f9c828d1828e65ba28230fecf",
-      "bytes": 388694,
-      "rows": 20,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6261",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006261.lean\",\"b0ee1ba2d028f10519d54679e82710566b2e23c435bb2584bc1e8cdbcb22aac5\",0,\"lean_workbook_plus_59096\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006262.lean\",\"4e6893c09f9cda4f26e8a9d07123aad1bdedf88714a06f11e6a72f586f0325ca\",0,\"lean_workbook_plus_30546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006263.lean\",\"db340ac96a5e3106822a8da3361a277c1ae4916f5bb9b7e7b44d46c29e47c91c\",0,\"lean_workbook_plus_44522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388694,
+      "path": "data/train/p7e/oproofs-s00002-r00006260-n000004-0000-c0ab03287fc8bd9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c0ab03287fc8bd9e9540a6e48b4f6b07b68b5d2f9c828d1828e65ba28230fecf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006264-n000004.json b/manifests/batches/oproofs/s00002-r00006264-n000004.json
index 92b251e385ac7c13f7224ceac02350a5116f3e8b..af693e53151762b6dafe39991439fd76e1e25954 100644
--- a/manifests/batches/oproofs/s00002-r00006264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006264-n000004",
   "batch_fingerprint": "f76925e87f68d25b9754515b68ad0e50143b553048c096155e2c7d91669aa4c8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006264-n000004-0000-ce3b11eba8e21392.parquet",
-      "sha256": "ce3b11eba8e2139240e99d2ca48d9a92ab4c00194a06cfd598dce2063579d755",
-      "bytes": 189119,
-      "rows": 13,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006264-n000004-0000-088d488b6d631213.parquet",
-      "sha256": "088d488b6d63121307eff6615a97ec54a6173d5574788d939157bc6b3ce0bdc7",
-      "bytes": 142634,
-      "rows": 10,
-      "revision": "532a5cd7ed4c98b3019240e9080cfb613fc254d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006265.lean\",\"47137845a37c6fa26aa7251c74920a1891c0524da3219d1a93b8aeeb58023533\",0,\"lean_workbook_plus_58245\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006266.lean\",\"c7a894770715bc28135e74832a21168da65a24dfe111f04553ee7137c91ef8a5\",0,\"lean_workbook_plus_63553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006267.lean\",\"778a31ab3468bf49585ab456d7b4d39da9a355297eec376d2ad3cafcd4b611b0\",0,\"lean_workbook_plus_56169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189119,
+      "path": "data/train/pa3/oproofs-s00002-r00006264-n000004-0000-ce3b11eba8e21392.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ce3b11eba8e2139240e99d2ca48d9a92ab4c00194a06cfd598dce2063579d755"
+    },
+    {
+      "bytes": 142634,
+      "path": "data/dev/pa3/oproofs-s00002-r00006264-n000004-0000-088d488b6d631213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "088d488b6d63121307eff6615a97ec54a6173d5574788d939157bc6b3ce0bdc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006268-n000004.json b/manifests/batches/oproofs/s00002-r00006268-n000004.json
index 6395f0a6b3e1e06fada8524e0cf2ed987d42aa67..918381ca11b576710a64ea1edf66d8733c10bb11 100644
--- a/manifests/batches/oproofs/s00002-r00006268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006268-n000004",
   "batch_fingerprint": "3492b63f56ffba466d58ed9ca25808bc58ea088b8ff83d026828f1d1988cb371",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006268-n000004-0000-bbfa331c94a4536e.parquet",
-      "sha256": "bbfa331c94a4536ecbd556835c41516876ed74854212cc1c25a05f90637af083",
-      "bytes": 600325,
-      "rows": 29,
-      "revision": "c84a765a339eccd983368c1816109ce2091333ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006269.lean\",\"ab6d72cdc782dd514d7cc02159245f7335f44f7b0b47b300c2b5c11e202af810\",0,\"lean_workbook_plus_41654\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006270.lean\",\"c37c6bc48837e3f4214fc1ad91a0aeab3b5f61b7b1d3f4379490389f19ef0c0d\",0,\"lean_workbook_plus_66688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006271.lean\",\"edd114c2d873fde6b15a1612e514012dd526003eb76765ae38012c307a5fd121\",0,\"lean_workbook_plus_49773\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 600325,
+      "path": "data/train/p86/oproofs-s00002-r00006268-n000004-0000-bbfa331c94a4536e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "bbfa331c94a4536ecbd556835c41516876ed74854212cc1c25a05f90637af083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006272-n000004.json b/manifests/batches/oproofs/s00002-r00006272-n000004.json
index ead97da264f3dac2acbae2f35dd36f6da7d8d831..19da3457d838b1cbbde2f762ba466612e9ec713f 100644
--- a/manifests/batches/oproofs/s00002-r00006272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006272-n000004",
   "batch_fingerprint": "ece9c58609b403f296af407a576fb27c840fe52d9db34affbbc1537cb557288a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006272-n000004-0000-515e55619318cfdc.parquet",
-      "sha256": "515e55619318cfdc70f62248a1bad4f4c6c9d40113b1fb35d44484959f59b8e2",
-      "bytes": 347898,
-      "rows": 20,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006273.lean\",\"1bfed6c60ffbdf300f7a46152ab709ff82da88396fafff65cfc5c13176d7eda9\",0,\"lean_workbook_plus_82815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006274.lean\",\"3c7d65e9b6618827fbf89d04d29d15ea0ee0f33c793ba8d36310e83a13224ed7\",0,\"lean_workbook_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006275.lean\",\"e0ccf27e3f52726e443717ea5c996e248fd252c74d6bfc6f3ceb0a1382e1a3ef\",0,\"lean_workbook_plus_24398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347898,
+      "path": "data/train/pc1/oproofs-s00002-r00006272-n000004-0000-515e55619318cfdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "515e55619318cfdc70f62248a1bad4f4c6c9d40113b1fb35d44484959f59b8e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006276-n000004.json b/manifests/batches/oproofs/s00002-r00006276-n000004.json
index 79845f3a5539d6a0319a8b4d52d54aaa5afc6d07..01f3ae82d08458009d501ffb44e527f9142a58d5 100644
--- a/manifests/batches/oproofs/s00002-r00006276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006276-n000004",
   "batch_fingerprint": "b23e2d340642c36679ea95089c8cb65b3294dd4952d86daf5bd74c3dcc2ce2f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006276-n000004-0000-f77d8f0000f5a920.parquet",
-      "sha256": "f77d8f0000f5a92048d551f2323e19717c0981c81a653104394caccd96a5f3ab",
-      "bytes": 183151,
-      "rows": 16,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006277.lean\",\"dcac77c4734e88286efdff25983f9e330df8113e789f1baa211e889fde5c9439\",0,\"lean_workbook_plus_42134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006278.lean\",\"1e09ffd5b795f9818460f748d22ef921293c227f2042ea8cfd624ecccb7d4781\",0,\"lean_workbook_47494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006279.lean\",\"52196e320731e4e3cbb3780666ae07d84aa12aa2cb72cf6f7a8e815c38c01a43\",0,\"lean_workbook_plus_72333\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183151,
+      "path": "data/train/pfd/oproofs-s00002-r00006276-n000004-0000-f77d8f0000f5a920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f77d8f0000f5a92048d551f2323e19717c0981c81a653104394caccd96a5f3ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006280-n000004.json b/manifests/batches/oproofs/s00002-r00006280-n000004.json
index 4eaa26b77e5922630984cb92835f30dbb1f16c17..53f298635a27083fe1cafb2fa226a8c7e39e1787 100644
--- a/manifests/batches/oproofs/s00002-r00006280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006280-n000004",
   "batch_fingerprint": "d51556e5b3bd0dc510ef14824af091ad759573840fe86aea16fac505bb82ca86",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006280-n000004-0000-10374e6631368ad6.parquet",
-      "sha256": "10374e6631368ad6ef0612995e1b6a1681fcf25664c607c8c18e783ab2c16dda",
-      "bytes": 77318,
-      "rows": 8,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006280-n000004-0000-374e93f4547ec352.parquet",
-      "sha256": "374e93f4547ec35242dfef895a12d2ab356fca4e233fd604ecedc26c57d81ca2",
-      "bytes": 48970,
-      "rows": 5,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006281.lean\",\"f7272f7e5be4a847b4f0161240f9d70a0bc73d40ee564fecb08ca44fa55cb60e\",0,\"lean_workbook_plus_69657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006282.lean\",\"10238945dbfa0d65a187904b888d0b8cce828a779457fe04da1ce2d3e8c0ea64\",0,\"lean_workbook_plus_82134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006283.lean\",\"b854ceea679078b2618d48296eaf47bdf42a6d478c10aa0585a758df20f8ef87\",0,\"lean_workbook_plus_34653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77318,
+      "path": "data/train/p1b/oproofs-s00002-r00006280-n000004-0000-10374e6631368ad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "10374e6631368ad6ef0612995e1b6a1681fcf25664c607c8c18e783ab2c16dda"
+    },
+    {
+      "bytes": 48970,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00006280-n000004-0000-374e93f4547ec352.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "374e93f4547ec35242dfef895a12d2ab356fca4e233fd604ecedc26c57d81ca2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006284-n000004.json b/manifests/batches/oproofs/s00002-r00006284-n000004.json
index 1b79d766c2d846163967c0a897383cabcf2289b6..ba47ba7cacd9796a212e40e95b7d036ca7faef74 100644
--- a/manifests/batches/oproofs/s00002-r00006284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006284-n000004",
   "batch_fingerprint": "20d6bf2a21eb378f5500d82f40d6e5be18d40a2bc7288ca66c76ad27e8d4b9c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006284-n000004-0000-3c0e7ac370552c64.parquet",
-      "sha256": "3c0e7ac370552c6432bd95412010238e83f98699029d767c242abe09c80504dc",
-      "bytes": 101021,
-      "rows": 12,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006284-n000004-0000-25e9091eae7f2814.parquet",
-      "sha256": "25e9091eae7f2814d05704aac9b7bb32b72d868459c2d0c858a922019d028687",
-      "bytes": 48959,
-      "rows": 4,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006285.lean\",\"0e3491370119deb2d3a240f131524d27d4352b1b18c6aac10b1ba2a8f85647ff\",0,\"lean_workbook_plus_50835\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006286.lean\",\"9c6d30bef237e4682e1534c2bdaa869bf3efd33b1a4000c6bf07f901c491dd7c\",0,\"lean_workbook_35101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006287.lean\",\"d99640ddc815887c0c8841245a1e7120cb1702873333dc75c774d3dd94b039ea\",0,\"quadratic_function_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101021,
+      "path": "data/train/p8c/oproofs-s00002-r00006284-n000004-0000-3c0e7ac370552c64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3c0e7ac370552c6432bd95412010238e83f98699029d767c242abe09c80504dc"
+    },
+    {
+      "bytes": 48959,
+      "path": "data/internal_test/p8c/oproofs-s00002-r00006284-n000004-0000-25e9091eae7f2814.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "25e9091eae7f2814d05704aac9b7bb32b72d868459c2d0c858a922019d028687"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006288-n000004.json b/manifests/batches/oproofs/s00002-r00006288-n000004.json
index 88cf648a3a69df80414da894dd793f46fa588cab..205aea24ba0879f2fcca379411d0bdd5b6cd63c0 100644
--- a/manifests/batches/oproofs/s00002-r00006288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006288-n000004",
   "batch_fingerprint": "8ca06a7308f8277ca0c9ee5e1e654d529600830a564d64db99c8801afb1ce399",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006288-n000004-0000-6712a92ae84563c2.parquet",
-      "sha256": "6712a92ae84563c2c4ce3ec06017fe9943fad62865a6d92d3276aa28098b07d4",
-      "bytes": 552138,
-      "rows": 9,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006288-n000004-0000-06dd96bf4f020ec8.parquet",
-      "sha256": "06dd96bf4f020ec8d8ffa2191e40d4ba0e3b20bbeb01b796663dbd796a3c6577",
-      "bytes": 42715,
-      "rows": 3,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006289.lean\",\"b1907517b82b24040af38e36bbdeea1c3f750a7612818eb1e442a66d0abdebae\",0,\"lean_workbook_plus_47455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006290.lean\",\"3e85fa77f49c1ded35a6c9134317ee8631b64698ee7d5e912335c5c14d768266\",0,\"lean_workbook_plus_4679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006291.lean\",\"80f3c35f6d6c980c55604bc580068259df10b1c16584bd4a6d2a883d8f7b7172\",0,\"lean_workbook_plus_47594\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552138,
+      "path": "data/train/p31/oproofs-s00002-r00006288-n000004-0000-6712a92ae84563c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6712a92ae84563c2c4ce3ec06017fe9943fad62865a6d92d3276aa28098b07d4"
+    },
+    {
+      "bytes": 42715,
+      "path": "data/internal_test/p31/oproofs-s00002-r00006288-n000004-0000-06dd96bf4f020ec8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "06dd96bf4f020ec8d8ffa2191e40d4ba0e3b20bbeb01b796663dbd796a3c6577"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006292-n000004.json b/manifests/batches/oproofs/s00002-r00006292-n000004.json
index 0e112dc5245053cb557193239a42f39ca0d38a76..a201de1e90d97b43114add23ab7abf5dd1d40c1d 100644
--- a/manifests/batches/oproofs/s00002-r00006292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006292-n000004",
   "batch_fingerprint": "025d2a3071aaa99598c55d506ff78731c91270bff5ee99f2520a14f2903aff05",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006292-n000004-0000-b2a44600e1d6f839.parquet",
-      "sha256": "b2a44600e1d6f8397b701a0b546897296ed4226f58b73755b87691cc4fe09162",
-      "bytes": 327432,
-      "rows": 24,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006292-n000004-0000-6cd145688f1272a5.parquet",
-      "sha256": "6cd145688f1272a53f05b2995ed195e2d4e9776d718e80f2b27304987e5cb1c4",
-      "bytes": 56518,
-      "rows": 4,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6293",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006293.lean\",\"570380fead1c745f6ccbac4962291df3cbd812069863fd030e91c985a75bf8d1\",0,\"lean_workbook_plus_24194\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006294.lean\",\"2ef26e6f6c3105a30d6330203f2845394588932fbeefab0b7056892e773f4cab\",0,\"lean_workbook_plus_43975\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006295.lean\",\"645600b3b5e8ebcb15459e6a170102578a08fde6421170db39577f84b86563e8\",0,\"lean_workbook_39562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327432,
+      "path": "data/train/p2c/oproofs-s00002-r00006292-n000004-0000-b2a44600e1d6f839.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b2a44600e1d6f8397b701a0b546897296ed4226f58b73755b87691cc4fe09162"
+    },
+    {
+      "bytes": 56518,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00006292-n000004-0000-6cd145688f1272a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6cd145688f1272a53f05b2995ed195e2d4e9776d718e80f2b27304987e5cb1c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006296-n000004.json b/manifests/batches/oproofs/s00002-r00006296-n000004.json
index 431f6d0a65a82d647fe11890bb73c9b74dd4912a..8f64ebcbf69e4ab75e581d2071fff2b65ea4a508 100644
--- a/manifests/batches/oproofs/s00002-r00006296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006296-n000004",
   "batch_fingerprint": "10b58bc6df9b87bf6f1bf5f3cf9ac7715a2b00d1653e8eaa117e4806f094d30b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006296-n000004-0000-4b098e90b9f4e6b9.parquet",
-      "sha256": "4b098e90b9f4e6b90845eeeb14c89ce8472fb92227721844670eb47fd590130d",
-      "bytes": 250407,
-      "rows": 17,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006297.lean\",\"e0ae066a384ead8c2a0cadac427fd6bc7a85a54ebc6c7756e330436db860ed58\",0,\"lean_workbook_17303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006298.lean\",\"94757e2cbc5335d8435d7f34a07252feec7b7028e5eed5ee56e980bb0ef65f66\",0,\"lean_workbook_plus_76806\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006299.lean\",\"a3253d99425186a6ff11bf1f8fd49a880502117e70408dcb37d192045a3b0dc7\",0,\"lean_workbook_plus_50009\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250407,
+      "path": "data/train/p66/oproofs-s00002-r00006296-n000004-0000-4b098e90b9f4e6b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4b098e90b9f4e6b90845eeeb14c89ce8472fb92227721844670eb47fd590130d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006300-n000004.json b/manifests/batches/oproofs/s00002-r00006300-n000004.json
index ef9cebba28af62573afe55870bdbb4412db908ea..9c6a23ea636c697abd557064bc0202355bd8a7c0 100644
--- a/manifests/batches/oproofs/s00002-r00006300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006300-n000004",
   "batch_fingerprint": "fc7de4c722fb4c76cab9618acf2b48afce4d856ccfce44d36c5108ba58d154b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006300-n000004-0000-9a7f8c6617433b01.parquet",
-      "sha256": "9a7f8c6617433b016c51715fe650ac2f20fe989e50cda98b547953d437f5ba57",
-      "bytes": 499114,
-      "rows": 14,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006301.lean\",\"9eff645121efe6be25c567a6fbaafc5d1e3721115a3f6401931abf5e3847cd16\",0,\"lean_workbook_plus_61843\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006302.lean\",\"e618d103fe0d2cd9c3c974542e727bdcf2ec240b29b6a3c735b4e25f9b9c4e3f\",0,\"lean_workbook_plus_26193\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006303.lean\",\"7bfab17b0974a1164b7923fd252cd86c216cae3179347e366e10f158d6d14aa2\",0,\"lean_workbook_plus_10980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 499114,
+      "path": "data/train/p05/oproofs-s00002-r00006300-n000004-0000-9a7f8c6617433b01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9a7f8c6617433b016c51715fe650ac2f20fe989e50cda98b547953d437f5ba57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006304-n000004.json b/manifests/batches/oproofs/s00002-r00006304-n000004.json
index a6d2ab8995d9be23871900bd7f7727c3b7225dd4..bb84178ff9ed9cf946bd7ac3f54050f011385010 100644
--- a/manifests/batches/oproofs/s00002-r00006304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006304-n000004",
   "batch_fingerprint": "c2862198ec71ab9df6400021178f69887c9bcd16a665b36cc5f1e99e3542a3a1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006304-n000004-0000-66f50e6e2a2637b3.parquet",
-      "sha256": "66f50e6e2a2637b3d6d49b9adc5b6816d722bee547a05e51880220c5ce387083",
-      "bytes": 93986,
-      "rows": 9,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006304-n000004-0000-7cafd71e463493ef.parquet",
-      "sha256": "7cafd71e463493ef27e6bca79a60792e879c34f4ed981cb7419f67f23d37379b",
-      "bytes": 106128,
-      "rows": 6,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6305",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006305.lean\",\"cda4f25aca98448e0c5bb1efe9c25d06277ecba24364dd9ec580c829a3ffbd56\",0,\"lean_workbook_plus_30113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006306.lean\",\"bddeea8466078cde5d31efa5e60a30fa6771b42825dcf1fffc0785dead189f25\",0,\"lean_workbook_plus_82598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006307.lean\",\"ab500c314622edf28dbd6dec72b7a87f06c310897890796ef4f9349b207cc4c4\",0,\"lean_workbook_plus_50898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93986,
+      "path": "data/train/p4f/oproofs-s00002-r00006304-n000004-0000-66f50e6e2a2637b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "66f50e6e2a2637b3d6d49b9adc5b6816d722bee547a05e51880220c5ce387083"
+    },
+    {
+      "bytes": 106128,
+      "path": "data/dev/p4f/oproofs-s00002-r00006304-n000004-0000-7cafd71e463493ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7cafd71e463493ef27e6bca79a60792e879c34f4ed981cb7419f67f23d37379b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006308-n000004.json b/manifests/batches/oproofs/s00002-r00006308-n000004.json
index 2fc44083e852f41c81d3435d7530b0cc0d08f071..3d9813cbacccc41e66c525aefddc8dbec412f7bc 100644
--- a/manifests/batches/oproofs/s00002-r00006308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006308-n000004",
   "batch_fingerprint": "ceaa53acc1c4b3ed87c6441bf46e3b049bcecef9a315b6e75863e35991a50646",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006308-n000004-0000-674656fdff400686.parquet",
-      "sha256": "674656fdff4006867c8a39de65355256830631467cba2d124f59c18437e261e3",
-      "bytes": 1018256,
-      "rows": 20,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006309.lean\",\"245b13aedd36bd7de1c25f56da2bca48ecf504508f00a27269728e12d891534a\",0,\"lean_workbook_plus_63560\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006310.lean\",\"0d447dd97bbfc166d5b8966408432ed06855986881e7d975ac20772cff6eb7c9\",0,\"lean_workbook_plus_59096\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006311.lean\",\"c14538a794e8e451fb59fdfa89ccfb2e9676b17cf842e7cc5493c04685816e5b\",0,\"lean_workbook_plus_44522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1018256,
+      "path": "data/train/pdd/oproofs-s00002-r00006308-n000004-0000-674656fdff400686.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "674656fdff4006867c8a39de65355256830631467cba2d124f59c18437e261e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006312-n000004.json b/manifests/batches/oproofs/s00002-r00006312-n000004.json
index fa4e986453d9532efb759f40104003b32823870c..7b310dae1bff8b4af2c683cd19c46493e629debe 100644
--- a/manifests/batches/oproofs/s00002-r00006312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006312-n000004",
   "batch_fingerprint": "b692102614044a68c8432f499215b07fbe266ea964f7cd72e04b93f5af01dbd2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006312-n000004-0000-341e5683a6f6a4f4.parquet",
-      "sha256": "341e5683a6f6a4f48cb4501f6a5928d5871b210197645bf4ed4f719f96fd369f",
-      "bytes": 169971,
-      "rows": 12,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006312-n000004-0000-218adee7ff7f56b9.parquet",
-      "sha256": "218adee7ff7f56b953a06b8ce6af61bd69c6aac067ca466cb80ca8b12a271826",
-      "bytes": 72173,
-      "rows": 8,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6313",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006313.lean\",\"34f66cfe8cedf9cd2a4ba7faa4591b4b74676269a93b80c0f803aa01d5a04a38\",0,\"lean_workbook_plus_58245\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006314.lean\",\"36f078792133711b2d168488c4e06dd8bb86e4d757647e9a04449f66db2ab7a8\",0,\"lean_workbook_plus_63553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006315.lean\",\"25657eff356435b267a332a62f756cd7259df52330e18efa3e151054af660541\",0,\"lean_workbook_plus_56169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169971,
+      "path": "data/train/p0a/oproofs-s00002-r00006312-n000004-0000-341e5683a6f6a4f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "341e5683a6f6a4f48cb4501f6a5928d5871b210197645bf4ed4f719f96fd369f"
+    },
+    {
+      "bytes": 72173,
+      "path": "data/dev/p0a/oproofs-s00002-r00006312-n000004-0000-218adee7ff7f56b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "218adee7ff7f56b953a06b8ce6af61bd69c6aac067ca466cb80ca8b12a271826"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006316-n000004.json b/manifests/batches/oproofs/s00002-r00006316-n000004.json
index 2dbaf2a27fe63a8bc8273e497961724ff07ef869..16a34ec06d34cb6753319724b5b02ee56c2796c4 100644
--- a/manifests/batches/oproofs/s00002-r00006316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006316-n000004",
   "batch_fingerprint": "8bdfc6d1cbd6c403a11d2666ee118975f8ff69844d3222df9663463ee98bef9b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006316-n000004-0000-82e29b3ac1d15063.parquet",
-      "sha256": "82e29b3ac1d15063b054b815346b22cd6472a52b19f421e2a0359c660ea8c989",
-      "bytes": 499975,
-      "rows": 23,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006316-n000004-0000-544d6ac444041e18.parquet",
-      "sha256": "544d6ac444041e1802aff662170817535573ccd77e93869947ba6b75bcd5d6e2",
-      "bytes": 50769,
-      "rows": 2,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006317.lean\",\"5f62dd96237045cbe5580cde4921cf2374ef5b90987717c1e05d21d7c319f591\",0,\"lean_workbook_16901\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006318.lean\",\"bfe9c69b6215ead9cdaf25ab50e4d99662fdd8086815969946101dae9a73463e\",0,\"lean_workbook_plus_30411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006319.lean\",\"42a5cdcd18b2f60c9874ad36ad33f6eb97375633cba035779867594f5ca73056\",0,\"lean_workbook_plus_70325\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 499975,
+      "path": "data/train/p9a/oproofs-s00002-r00006316-n000004-0000-82e29b3ac1d15063.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "82e29b3ac1d15063b054b815346b22cd6472a52b19f421e2a0359c660ea8c989"
+    },
+    {
+      "bytes": 50769,
+      "path": "data/internal_test/p9a/oproofs-s00002-r00006316-n000004-0000-544d6ac444041e18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "544d6ac444041e1802aff662170817535573ccd77e93869947ba6b75bcd5d6e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006320-n000004.json b/manifests/batches/oproofs/s00002-r00006320-n000004.json
index a521b6a157f47403b3aecd503ef194934e4b92cf..1e453972d06223bc7ff4049f6529f6caac437703 100644
--- a/manifests/batches/oproofs/s00002-r00006320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006320-n000004",
   "batch_fingerprint": "2742c4b25f3ffb68cf65cd4432c1e8286177fb385060028241ca4dce13222f04",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006320-n000004-0000-91e543218d447179.parquet",
-      "sha256": "91e543218d447179c31b17393f7d5249bac7c3899b6b7d2a4f05d7a1d4762a2e",
-      "bytes": 452286,
-      "rows": 26,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006321.lean\",\"e6248281ec72e4999477671ed45ff03b1676137c22c55820eba5d5f112610b4f\",0,\"lean_workbook_plus_66688\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006322.lean\",\"7a9fc8929f0c352ac22b40515f768d0fbbef46f600a6b73a8d1c94b1c6b72418\",0,\"lean_workbook_plus_43127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006323.lean\",\"0bbb85e716313880125985df7ca572cabf50dbe112fb8e4d8498a082b8dee48d\",0,\"lean_workbook_plus_71331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 452286,
+      "path": "data/train/p8d/oproofs-s00002-r00006320-n000004-0000-91e543218d447179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "91e543218d447179c31b17393f7d5249bac7c3899b6b7d2a4f05d7a1d4762a2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006324-n000004.json b/manifests/batches/oproofs/s00002-r00006324-n000004.json
index ee7293d021aa97684ef4bb4ed50f5b7620678df3..72087f5476564dd6b4fd1ac4fa41df789ad1bf01 100644
--- a/manifests/batches/oproofs/s00002-r00006324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006324-n000004",
   "batch_fingerprint": "161517982b8ef851f0727e410a0f539a5d907c4ca730c1a4b177f555ee0f14db",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006324-n000004-0000-82bab353eb2192d1.parquet",
-      "sha256": "82bab353eb2192d161e3e8c1f368fad190fd8383b131cd302224aad12de41da1",
-      "bytes": 233230,
-      "rows": 21,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006325.lean\",\"98ce9345451f9916a165ecca58e11924ba5adccc18fd657505dfde4bc15c7992\",0,\"lean_workbook_plus_42134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006326.lean\",\"87cd399e491dbe5b0fcc7fb72cb505dd29c651cf9fb2b20a286333c30a7c609e\",0,\"lean_workbook_plus_82815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006327.lean\",\"750d12a17cd43bc22b3c2ffa6a3880c6a22650443693a01de4e7f254d7de2900\",0,\"lean_workbook_plus_38941\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233230,
+      "path": "data/train/p5e/oproofs-s00002-r00006324-n000004-0000-82bab353eb2192d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "82bab353eb2192d161e3e8c1f368fad190fd8383b131cd302224aad12de41da1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006328-n000004.json b/manifests/batches/oproofs/s00002-r00006328-n000004.json
index 59935afbeb2d9b84ce478750f17094996db783a1..b69f01995029d758229934aa4aab29bb93d9b978 100644
--- a/manifests/batches/oproofs/s00002-r00006328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006328-n000004",
   "batch_fingerprint": "9c23ba4dc20c104dc5baa4ce23bcc33db5096bad27ed30bf167531172b25108d",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000006/oproofs-s00002-r00006328-n000004-0000-4bdd397d37cfea67.parquet",
-      "sha256": "4bdd397d37cfea6714d2d08a8d4cc7ff27984626abf6ec8e12640ffac1e1a179",
-      "bytes": 90655,
-      "rows": 10,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6330",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006328.lean\",\"da4e1b0c9b4cb28844da33feac07e7b5cf4ac18aa3b463b3a595941c3a6c40f9\",0,\"lean_workbook_47494\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006330.lean\",\"62b1ff6e771a01c67acf33fb2c8179088426882e91f8b32532120a9ec8ec1986\",0,\"lean_workbook_plus_69657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006331.lean\",\"92d994917dcddc88f09dee1d1a30eff275bc82785fd70ee72837bb1c547471d2\",0,\"lean_workbook_plus_82134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90655,
+      "path": "data/train/pf0/oproofs-s00002-r00006328-n000004-0000-4bdd397d37cfea67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4bdd397d37cfea6714d2d08a8d4cc7ff27984626abf6ec8e12640ffac1e1a179"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006332-n000004.json b/manifests/batches/oproofs/s00002-r00006332-n000004.json
index bfeda56b6e783750d3466214a688eabd62ad92af..c3c600e28d833a99b36f51e23c8da2aa33c759af 100644
--- a/manifests/batches/oproofs/s00002-r00006332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006332-n000004",
   "batch_fingerprint": "5848031cfd6c498de979919c76fe5ca8b4af5171a50403398e16e8d7d09d1ee1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006332-n000004-0000-9829bcc4ca159517.parquet",
-      "sha256": "9829bcc4ca159517bd053e8efaca26e83a2de11b4153f6d45080bf9c01d80498",
-      "bytes": 69791,
-      "rows": 8,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006332-n000004-0000-be6da1a7f2c7c7a6.parquet",
-      "sha256": "be6da1a7f2c7c7a697034d8a3cc48a59cc59ade96b249f11e28516aa8a1fdf34",
-      "bytes": 56344,
-      "rows": 5,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006333.lean\",\"687143d365b3099c909f9648c83c19af9b58aed9cb5fdf149ad096b5f92bad98\",0,\"lean_workbook_plus_19479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006334.lean\",\"4b05152468588132c0d546094241eb5a0b27faa2935d444cec15442e789783ae\",0,\"lean_workbook_plus_50835\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006335.lean\",\"7a722b42984a4e150d64861f9fc65b85a44cb412ab8e0f24ef4a945ed1d06368\",0,\"lean_workbook_35101\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69791,
+      "path": "data/train/p03/oproofs-s00002-r00006332-n000004-0000-9829bcc4ca159517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9829bcc4ca159517bd053e8efaca26e83a2de11b4153f6d45080bf9c01d80498"
+    },
+    {
+      "bytes": 56344,
+      "path": "data/internal_test/p03/oproofs-s00002-r00006332-n000004-0000-be6da1a7f2c7c7a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "be6da1a7f2c7c7a697034d8a3cc48a59cc59ade96b249f11e28516aa8a1fdf34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006336-n000004.json b/manifests/batches/oproofs/s00002-r00006336-n000004.json
index 631e754994f34e15497f584b8db186e704974a06..d8227207877352fe12c6fa33de46df5acbb2ec77 100644
--- a/manifests/batches/oproofs/s00002-r00006336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006336-n000004",
   "batch_fingerprint": "08b3228a49cabd6bc8e1a690f0eb168078374090e5e34ffc54fb72b9986726a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006336-n000004-0000-d6de3e7d1d0d2dc7.parquet",
-      "sha256": "d6de3e7d1d0d2dc7eefc59c7474f229fedc855b3c381cd17c6915a442627af20",
-      "bytes": 170619,
-      "rows": 17,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006336-n000004-0000-08b799bf9e52fa14.parquet",
-      "sha256": "08b799bf9e52fa14db36e283ebaff591267623ac6381921a8deca7c216fe6095",
-      "bytes": 42712,
-      "rows": 3,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6337",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006337.lean\",\"29ebf3e9f5d558b783a22cf6dc8c466a51297c67e57a7298406d959e51c87e15\",0,\"lean_workbook_plus_40571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006338.lean\",\"55e61f8854648964b4dfdac92293eb3be99e912e1b57859a9d1b2369f6b2c56f\",0,\"lean_workbook_plus_47455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006339.lean\",\"39cab90848326fc82c362757dde79410c0e7adb1bd93ce64a3da9a5664c20c18\",0,\"quadratic_function_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170619,
+      "path": "data/train/p32/oproofs-s00002-r00006336-n000004-0000-d6de3e7d1d0d2dc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d6de3e7d1d0d2dc7eefc59c7474f229fedc855b3c381cd17c6915a442627af20"
+    },
+    {
+      "bytes": 42712,
+      "path": "data/internal_test/p32/oproofs-s00002-r00006336-n000004-0000-08b799bf9e52fa14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "08b799bf9e52fa14db36e283ebaff591267623ac6381921a8deca7c216fe6095"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006340-n000004.json b/manifests/batches/oproofs/s00002-r00006340-n000004.json
index 5120eb1f2aed3ad5d0e6928c6d343fb3cf48bd0e..e96802fc36e6449275119dd53a5386d52c0c7fff 100644
--- a/manifests/batches/oproofs/s00002-r00006340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006340-n000004",
   "batch_fingerprint": "94b22e74e5e9250747ff1d03f39c1fb1e91b73a0a8809afcd1add0068bfb8c21",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006340-n000004-0000-3c31347fd4305d92.parquet",
-      "sha256": "3c31347fd4305d92632e03c62d9dc36519f1b57cb65b75230e83517a942c9f96",
-      "bytes": 222235,
-      "rows": 11,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006340-n000004-0000-fa858c91b53ac6af.parquet",
-      "sha256": "fa858c91b53ac6af23e34e21a883528e1116531a1ce57e34eafc51b34d9cdc64",
-      "bytes": 53756,
-      "rows": 4,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006341.lean\",\"d1da3d86f88fe71ee571ba9de4d0133d3a4840d963318a64a4bad53f861432ce\",0,\"lean_workbook_plus_43541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006342.lean\",\"4bd5804a3bd3003674aa44637ba6cf0e455b14e14edba5a1a506cc0e41ab94d2\",0,\"lean_workbook_plus_43975\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006343.lean\",\"541948c911bec920ff8b01e352f3188077a0c36599c6fd9e42c9bf3f0fab328f\",0,\"lean_workbook_plus_24194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222235,
+      "path": "data/train/p70/oproofs-s00002-r00006340-n000004-0000-3c31347fd4305d92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3c31347fd4305d92632e03c62d9dc36519f1b57cb65b75230e83517a942c9f96"
+    },
+    {
+      "bytes": 53756,
+      "path": "data/internal_test/p70/oproofs-s00002-r00006340-n000004-0000-fa858c91b53ac6af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fa858c91b53ac6af23e34e21a883528e1116531a1ce57e34eafc51b34d9cdc64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006344-n000004.json b/manifests/batches/oproofs/s00002-r00006344-n000004.json
index d7da1a3dfe26ead6baaba7eedd1859474db8dfd0..8e4f155e8a52bca1514935e81a8c2106532d7926 100644
--- a/manifests/batches/oproofs/s00002-r00006344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006344-n000004",
   "batch_fingerprint": "52bd2db56cf8c2cfe5066d50c9076b1159b9dee025d084ca7dd9430e4536662b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006344-n000004-0000-90467fc2cd484676.parquet",
-      "sha256": "90467fc2cd484676d8597560c2a626a4b5105e40e70db4231dd0b4d4cba73f56",
-      "bytes": 244778,
-      "rows": 15,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006344-n000004-0000-c006be9928b6638f.parquet",
-      "sha256": "c006be9928b6638fdd57dd8f3e904626a8d38fc7609e39d6bea17610489d26a0",
-      "bytes": 42730,
-      "rows": 4,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006345.lean\",\"1adf64f6ee211c34689e9d1ae57bde5fc7b8cf10500f21c13bf5d00b83430f8a\",0,\"lean_workbook_plus_78757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006346.lean\",\"4b85da0dcb96869faf38c7acf14a64c8ae9b1bcb48cfee6476e629c308495138\",0,\"lean_workbook_17303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006347.lean\",\"7739749ba7e5c075253c1cf492ce9fc318227bc1b3a429e15781a519518aaee7\",0,\"lean_workbook_plus_76806\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244778,
+      "path": "data/train/p31/oproofs-s00002-r00006344-n000004-0000-90467fc2cd484676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "90467fc2cd484676d8597560c2a626a4b5105e40e70db4231dd0b4d4cba73f56"
+    },
+    {
+      "bytes": 42730,
+      "path": "data/internal_test/p31/oproofs-s00002-r00006344-n000004-0000-c006be9928b6638f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c006be9928b6638fdd57dd8f3e904626a8d38fc7609e39d6bea17610489d26a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006348-n000004.json b/manifests/batches/oproofs/s00002-r00006348-n000004.json
index 928475959e7cc1ad443ae09ff29285f2685815a7..4dc42a1895c8499ff2588917a549de6715d8834c 100644
--- a/manifests/batches/oproofs/s00002-r00006348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006348-n000004",
   "batch_fingerprint": "239f965176d0349d39130cb6501c30ec30ab9cf94f2be6b53c40f0b8360b9631",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006348-n000004-0000-e46194cb559ed9bb.parquet",
-      "sha256": "e46194cb559ed9bb31b7384e6b134c40a4cf248ec5be231489408a80407db2c5",
-      "bytes": 482509,
-      "rows": 22,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006349.lean\",\"5a8ba633e8ed37d9b3ac0495914a155f8aba302fcf3c75ad6facde6666e23ee2\",0,\"lean_workbook_plus_26193\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006350.lean\",\"68e9f3abd99fc737d665e5ae838f82e89931d07f89481ffa6df2d37fcd6cd651\",0,\"lean_workbook_plus_50009\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006351.lean\",\"dd64c7eaf1240d0a29494b8939e2ac98fe098bca68f151e68ca66fa6997b3926\",0,\"lean_workbook_plus_61843\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 482509,
+      "path": "data/train/pb9/oproofs-s00002-r00006348-n000004-0000-e46194cb559ed9bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "e46194cb559ed9bb31b7384e6b134c40a4cf248ec5be231489408a80407db2c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006352-n000004.json b/manifests/batches/oproofs/s00002-r00006352-n000004.json
index 5114a061c02836760186f7045ef97d508a974792..70f9d13b55df2e6cc2208cd6432334f2bf133c29 100644
--- a/manifests/batches/oproofs/s00002-r00006352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006352-n000004",
   "batch_fingerprint": "d219bf279f12bd904c160a191c43c348a522e6412bd394f041f440fe7aeb6a19",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006352-n000004-0000-ceae566a95ffda64.parquet",
-      "sha256": "ceae566a95ffda6410026be757304de61f6c39e3dc90369fbd1fca181f096eb0",
-      "bytes": 271566,
-      "rows": 20,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006353.lean\",\"35c0eb44619189126ae5293ccdd5443294635588efa6ab9fe387eeb9eb58ff37\",0,\"lean_workbook_plus_77545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006354.lean\",\"cce9b2026e1028d2e946728dfcac2bce44f0e29e07a9e621d1fdd8f0a05a493c\",0,\"lean_workbook_plus_30113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006355.lean\",\"6fd7cd4dc4d1c286af8f91a5f11a36ab0870b0916bc556594905a3aff929e289\",0,\"lean_workbook_plus_31238\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271566,
+      "path": "data/train/pde/oproofs-s00002-r00006352-n000004-0000-ceae566a95ffda64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ceae566a95ffda6410026be757304de61f6c39e3dc90369fbd1fca181f096eb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006356-n000004.json b/manifests/batches/oproofs/s00002-r00006356-n000004.json
index 846aee9670f86ea3585adb2cca1b407ecd524198..1df68b31bb026da01744c15f0aaa10eb41ca65d5 100644
--- a/manifests/batches/oproofs/s00002-r00006356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006356-n000004",
   "batch_fingerprint": "2067a83c3ccf6ec4476e46737a72cf5100952a5540d15e2e889371733ae899be",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006356-n000004-0000-a91803faa1d98090.parquet",
-      "sha256": "a91803faa1d98090603fb53c29eb9b55c26f6046351604a92ce7cb5b2a8a0abf",
-      "bytes": 702784,
-      "rows": 15,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006356-n000004-0000-941ed35611ca899b.parquet",
-      "sha256": "941ed35611ca899b695e024fb80f5f252e43dc73f53cd9c060534f0e4364821d",
-      "bytes": 94279,
-      "rows": 6,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6357",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006357.lean\",\"2aef6338ed83772c17dbc291f6c981c0b8de151966e245884ce93611cd2cc057\",0,\"touching_spheres_radii\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006358.lean\",\"5dac9928605ec99c33d80d644b4a304438a58945986dffc108b602e5c523fb8d\",0,\"lean_workbook_plus_50898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006359.lean\",\"49499c3767c1e4dabf9d6c8e1aa90c0ebca38da2ed4720206ca79d3aa7caa0f9\",0,\"lean_workbook_plus_10980\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 702784,
+      "path": "data/train/p98/oproofs-s00002-r00006356-n000004-0000-a91803faa1d98090.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a91803faa1d98090603fb53c29eb9b55c26f6046351604a92ce7cb5b2a8a0abf"
+    },
+    {
+      "bytes": 94279,
+      "path": "data/dev/p98/oproofs-s00002-r00006356-n000004-0000-941ed35611ca899b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "941ed35611ca899b695e024fb80f5f252e43dc73f53cd9c060534f0e4364821d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006360-n000004.json b/manifests/batches/oproofs/s00002-r00006360-n000004.json
index 6af632a878ffb53c6954564ce4d2b5cd84479dba..cbb7d0d5600c6948f80bbc2ef49ec8bc47c81101 100644
--- a/manifests/batches/oproofs/s00002-r00006360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006360-n000004",
   "batch_fingerprint": "e3e9e4aec550ecefe87eb93c716d11f8612716df19c1a10e6a6b188e4d963005",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006360-n000004-0000-fbdb85fb33791ec7.parquet",
-      "sha256": "fbdb85fb33791ec70cb9bf4b0ff37745172b8829dd5099d2c4a6557833497fd0",
-      "bytes": 627546,
-      "rows": 24,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006361.lean\",\"fb2c0cf01a6082af0d251c584e6bee4476a42ca17c81fbce30b4e5e86f0fcdc8\",0,\"lean_workbook_plus_60608\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006362.lean\",\"d6c6a6009ea0e5441b293762548e55f75a1b2d0f56a11dc40c8dcb25c36ac80c\",0,\"lean_workbook_plus_30546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006363.lean\",\"a5a11307e4bc55e7c24f98b4ff9353ee9c0a6bc6ce54160d5308178e8cf3a9f4\",0,\"lean_workbook_34397\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 627546,
+      "path": "data/train/pdf/oproofs-s00002-r00006360-n000004-0000-fbdb85fb33791ec7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fbdb85fb33791ec70cb9bf4b0ff37745172b8829dd5099d2c4a6557833497fd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006364-n000004.json b/manifests/batches/oproofs/s00002-r00006364-n000004.json
index a47271a91e097b919b97646d6e17ac95d83583de..3e8d1224c0c34f8cca36daf6de77ad369e028cd3 100644
--- a/manifests/batches/oproofs/s00002-r00006364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006364-n000004",
   "batch_fingerprint": "1545df8db4322c0125a57ca348b1cae5b10875ab5c08ae2f3241b8e0aaabd977",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006364-n000004-0000-b8e62d59ba4b264e.parquet",
-      "sha256": "b8e62d59ba4b264ed34bbabc80bb838197a945615a5dffc4a4e77c643563f798",
-      "bytes": 386050,
-      "rows": 15,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006365.lean\",\"e39b12af5290fdc1ef9435f446e71a5869e7a557b82fb1706fd5033037bb9b52\",0,\"lean_workbook_plus_39311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006366.lean\",\"9121a1145286f26cc7a63a2730cd8a2bb5c9f528b893cc67341f4f7e1da41885\",0,\"lean_workbook_plus_66973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006367.lean\",\"2327d0c43a544226c364937d24ad4e39c5b9023bd31c012882fe6d3feb65780f\",0,\"lean_workbook_plus_80641\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386050,
+      "path": "data/train/p62/oproofs-s00002-r00006364-n000004-0000-b8e62d59ba4b264e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b8e62d59ba4b264ed34bbabc80bb838197a945615a5dffc4a4e77c643563f798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006368-n000004.json b/manifests/batches/oproofs/s00002-r00006368-n000004.json
index edde815925cfe7ed3b1ba0b11f9669df2c242eb3..b8e214447b14f0756b3e6e200b9fc4d16b812d7a 100644
--- a/manifests/batches/oproofs/s00002-r00006368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006368-n000004",
   "batch_fingerprint": "e1f4b734849aa715531e169ad61ab1b536fa9abdf339d1f3f945df0e0931b3b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006368-n000004-0000-034a0a723182bd35.parquet",
-      "sha256": "034a0a723182bd352d9b33b13fbede97e2e84f0a3730aa0cbbd6297f278c2580",
-      "bytes": 164256,
-      "rows": 13,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006368-n000004-0000-2d4dd60ad3d7472d.parquet",
-      "sha256": "2d4dd60ad3d7472d2b3c7b228c4a4053185cad6c3b5bebbe4fec32625e980a1a",
-      "bytes": 103113,
-      "rows": 10,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006369.lean\",\"85d0a5b7769b0cafa68a876e0e6648a9241a11251d32e1515759ec554016f14e\",0,\"lean_workbook_plus_58245\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006370.lean\",\"2d4ae1fd9ecd5eb1ecbe7b64c2221f2600a52cedbf9defa9ab725774096765b1\",0,\"lean_workbook_39161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006371.lean\",\"93e94d23952f12363f928bb3e506c22706631ff88b0353159346484727ce725c\",0,\"lean_workbook_plus_56169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164256,
+      "path": "data/train/p7e/oproofs-s00002-r00006368-n000004-0000-034a0a723182bd35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "034a0a723182bd352d9b33b13fbede97e2e84f0a3730aa0cbbd6297f278c2580"
+    },
+    {
+      "bytes": 103113,
+      "path": "data/dev/p7e/oproofs-s00002-r00006368-n000004-0000-2d4dd60ad3d7472d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2d4dd60ad3d7472d2b3c7b228c4a4053185cad6c3b5bebbe4fec32625e980a1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006372-n000004.json b/manifests/batches/oproofs/s00002-r00006372-n000004.json
index 9310ebe7226626638465034c8442c3db6dc70ae5..1d1a21bc4f0e487cb9e17c71d60a03553f4a340d 100644
--- a/manifests/batches/oproofs/s00002-r00006372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006372-n000004",
   "batch_fingerprint": "4e2d6303fdee09cd27204becef14a850e2fad7c005ada32b8e5e06a2eea19e58",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006372-n000004-0000-4a73b27a6eec6cc0.parquet",
-      "sha256": "4a73b27a6eec6cc00f7c1fa159538092616137db41fa9a9a750ed3c838dfbf46",
-      "bytes": 865412,
-      "rows": 21,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006372-n000004-0001-ee4cce7d7abfda58.parquet",
-      "sha256": "ee4cce7d7abfda58e0df61bc4dbb9b65b3f04a0494b0c33bdae048b4e2142a14",
-      "bytes": 67169,
-      "rows": 7,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006373.lean\",\"9ab3e756acbe7f1af38619724d024e09c6d113a964243c5bf8623c7fea7b1810\",0,\"lean_workbook_plus_70325\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006374.lean\",\"b242cdfdf76a888933ddcc586631c74abed93bd5e6bfef7f1d1f50b58a43d2d7\",0,\"lean_workbook_44368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006375.lean\",\"d2621901b9c1660abd7142af2992b49b1d178839fa7833405628523c7eb26930\",0,\"lean_workbook_plus_41654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 865412,
+      "path": "data/train/p7a/oproofs-s00002-r00006372-n000004-0000-4a73b27a6eec6cc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4a73b27a6eec6cc00f7c1fa159538092616137db41fa9a9a750ed3c838dfbf46"
+    },
+    {
+      "bytes": 67169,
+      "path": "data/train/p7a/oproofs-s00002-r00006372-n000004-0001-ee4cce7d7abfda58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ee4cce7d7abfda58e0df61bc4dbb9b65b3f04a0494b0c33bdae048b4e2142a14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006376-n000004.json b/manifests/batches/oproofs/s00002-r00006376-n000004.json
index 33fe7d2b3c2adb82a53cd9efe05d56140c2ea50a..5ab0d10c136077e6ea787b55dbcb6eabe33922f1 100644
--- a/manifests/batches/oproofs/s00002-r00006376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006376-n000004",
   "batch_fingerprint": "d0a986544d631db6337ab6741d2fad9409e785846308cddb1b28da401f33e7fe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006376-n000004-0000-89805a98e914fe41.parquet",
-      "sha256": "89805a98e914fe41aeae278f7e42bf91835fb75020bfa5564036fe8595c8f158",
-      "bytes": 652775,
-      "rows": 32,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006376-n000004-0001-e685c9c2ac62fc4a.parquet",
-      "sha256": "e685c9c2ac62fc4a1d1b72320f4335e181b8446e2c1d075c693c46934d349d6b",
-      "bytes": 173653,
-      "rows": 3,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006377.lean\",\"69d2fa5e94f09992fb6b5055abaaa86ae87a6a41b25d4f899b2f7b9cfb5a76cf\",0,\"lean_workbook_plus_43127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006378.lean\",\"7645bf8b2de71d8963dcb0d6a67f3117745b66f2378a38db9e8204d2c1109342\",0,\"lean_workbook_plus_49773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006379.lean\",\"a0a51eeb8132546aa6475a77496649f4ba7d15518466c55cb0f3759e182d87c5\",0,\"lean_workbook_plus_71331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 652775,
+      "path": "data/train/p03/oproofs-s00002-r00006376-n000004-0000-89805a98e914fe41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "89805a98e914fe41aeae278f7e42bf91835fb75020bfa5564036fe8595c8f158"
+    },
+    {
+      "bytes": 173653,
+      "path": "data/train/p03/oproofs-s00002-r00006376-n000004-0001-e685c9c2ac62fc4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e685c9c2ac62fc4a1d1b72320f4335e181b8446e2c1d075c693c46934d349d6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006380-n000004.json b/manifests/batches/oproofs/s00002-r00006380-n000004.json
index 57487b113c6cf0c102acffa28935538709c44a16..f7e703c219261544a1ef693061acfd1a77d6adab 100644
--- a/manifests/batches/oproofs/s00002-r00006380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006380-n000004",
   "batch_fingerprint": "2ffb8cd4c42d8bc7dbd0429263268da6b62c82f043ef392536b369e512f1ae13",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006380-n000004-0000-4bcad304c2cf0664.parquet",
-      "sha256": "4bcad304c2cf06647307fa813909e7f003b3b683cc06888ca98238cb6726dfb2",
-      "bytes": 121182,
-      "rows": 15,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006381.lean\",\"9761424d8c5f55b5577ab89118dc1a20eb34edc4cbaa4c8577e6657253764dc9\",0,\"lean_workbook_plus_49374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006382.lean\",\"511f28c27904b6ae9e4460bb716621d99645dfdb596b572d947f71dde86550d5\",0,\"lean_workbook_plus_39672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006383.lean\",\"742d0c4cc6244ba45a2dbb69bd8a3cc1483e7424b81eb07f5e5ed55ee0bf0713\",0,\"lean_workbook_plus_53841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121182,
+      "path": "data/train/pb0/oproofs-s00002-r00006380-n000004-0000-4bcad304c2cf0664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4bcad304c2cf06647307fa813909e7f003b3b683cc06888ca98238cb6726dfb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006384-n000004.json b/manifests/batches/oproofs/s00002-r00006384-n000004.json
index 092c2fc76a757e408569220cfe7bc48055b9bd05..847d55e6ce69f2282dbb238444f497b907210675 100644
--- a/manifests/batches/oproofs/s00002-r00006384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006384-n000004",
   "batch_fingerprint": "97fd13cf6ed53150ef8aec26bca5b43f939b9f4c09a95c82020a117c0a92b7f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006384-n000004-0000-8facb45799873f4d.parquet",
-      "sha256": "8facb45799873f4d0d16b1b19653a09e87da7d745944a5e93db27dfec7ebf74e",
-      "bytes": 254963,
-      "rows": 27,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006385.lean\",\"c011b5a5e7bfe5188c805cb80981ec62df82d61ceef04221fa0f170a95ab0f0b\",0,\"lean_workbook_plus_36484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006386.lean\",\"fcf07c0d81d61afcb6a849a346aecb81f2a04d80d3aa0b546ba6bd91aceea737\",0,\"lean_workbook_plus_61850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006387.lean\",\"c12172b8d645b96fc20973653d11a3d8ef73f9499cff0f958105a80bb6af6365\",0,\"prime_product_divisibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254963,
+      "path": "data/train/p9a/oproofs-s00002-r00006384-n000004-0000-8facb45799873f4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8facb45799873f4d0d16b1b19653a09e87da7d745944a5e93db27dfec7ebf74e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006388-n000004.json b/manifests/batches/oproofs/s00002-r00006388-n000004.json
index 2b8e3c243388ce41bb7f4d7fbd03ca9e42779b8b..84bb80f1280cd6c00d33938c03ede5352601de47 100644
--- a/manifests/batches/oproofs/s00002-r00006388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006388-n000004",
   "batch_fingerprint": "a9f0fb686684fd2a6668b413d258774b6d6a56fc6921cca5e5f0f8618597fd2a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006388-n000004-0000-586f36de96c880aa.parquet",
-      "sha256": "586f36de96c880aa046e647efb88432d3980bfe33bf8efc89d64bcfa96e1c386",
-      "bytes": 104080,
-      "rows": 16,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006389.lean\",\"c89e545b2ca3a74125556880971b716a30c68c18bbc57eac698ea3c53c48f60e\",0,\"lean_workbook_49323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006390.lean\",\"ffaf9d462ae9c67839c1aecdda56163d2492f952e5ec8fe3dcf90689786df5d4\",0,\"lean_workbook_plus_55060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006391.lean\",\"e0714013c64619e22ab8ea2001e687af6b9b9b5eed2dc3d46d0330cad0b81344\",0,\"lean_workbook_plus_46128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104080,
+      "path": "data/train/p87/oproofs-s00002-r00006388-n000004-0000-586f36de96c880aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "586f36de96c880aa046e647efb88432d3980bfe33bf8efc89d64bcfa96e1c386"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006392-n000004.json b/manifests/batches/oproofs/s00002-r00006392-n000004.json
index 90d21a02227b906de22b9e77fb72879ab9c86825..10bccc4dec4773a3a05c5c98ba55ba4b0ec24bce 100644
--- a/manifests/batches/oproofs/s00002-r00006392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006392-n000004",
   "batch_fingerprint": "3007080e670b480f7328834276b8952cdbdff33a7b3a892a86747d84cdc98ae0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006392-n000004-0000-596f81d5c424f5b3.parquet",
-      "sha256": "596f81d5c424f5b369cd13935e10ed3d659b0145ea1c8395c62b669987436319",
-      "bytes": 329705,
-      "rows": 14,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006392-n000004-0000-dfd4d990381d00fb.parquet",
-      "sha256": "dfd4d990381d00fbcf26a1c6513e658d980db3a62ab6cdcbaa048f26259210ba",
-      "bytes": 66670,
-      "rows": 8,
-      "revision": "3a3bbd3fd8dd7dc3f7b84b2e00ee56afe322d9a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006393.lean\",\"c21a25c768268e6309ff8e3b41dd12fa76cfeca3947fd02ead3d5568e5f1cbd3\",0,\"lean_workbook_plus_19546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006394.lean\",\"43e743b498ef8148118f6f8771695ff05e8cade80fe41f666fe6e073817da1cc\",0,\"lean_workbook_plus_66662\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006395.lean\",\"b2c391a8c953d41d7eafc5eebae2f468d019c82c58dba71bd7524a2b1bdda2bd\",0,\"lean_workbook_plus_67864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329705,
+      "path": "data/train/p44/oproofs-s00002-r00006392-n000004-0000-596f81d5c424f5b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "596f81d5c424f5b369cd13935e10ed3d659b0145ea1c8395c62b669987436319"
+    },
+    {
+      "bytes": 66670,
+      "path": "data/dev/p44/oproofs-s00002-r00006392-n000004-0000-dfd4d990381d00fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "dfd4d990381d00fbcf26a1c6513e658d980db3a62ab6cdcbaa048f26259210ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006396-n000004.json b/manifests/batches/oproofs/s00002-r00006396-n000004.json
index a9a844277eb6242cb448a48a2e1c79fd0b37e4a7..1da07df79fee902aa4264c4bc3e66d676fd1dedf 100644
--- a/manifests/batches/oproofs/s00002-r00006396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006396-n000004",
   "batch_fingerprint": "7519d74dec9e82e00a72fb2662ec2e59202fb7511c80df76fa05d97a9053cf76",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006396-n000004-0000-5475c9245f838410.parquet",
-      "sha256": "5475c9245f83841057d616a47038aab6d70d06885dc1402ba729c43ba7289dcd",
-      "bytes": 318647,
-      "rows": 20,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006396-n000004-0000-2fc0a952648b9be9.parquet",
-      "sha256": "2fc0a952648b9be92a9aaef1510420de377eb7bcb4d8f1f1911d21040f93a111",
-      "bytes": 26442,
-      "rows": 1,
-      "revision": "fda4b5815135449a71902917badf93173a2269d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006397.lean\",\"e582c011d60b5e9331058758d952e54e1e5655e02ca57d5daf80d7403e10b5ed\",0,\"lean_workbook_plus_81057\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006398.lean\",\"893863cb9867cd8c50279f7ec10c5c523732e15e7eecfa29c8e7feaeb7043c91\",0,\"lean_workbook_plus_10535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006399.lean\",\"d0e738fe67e7767abc45470250832f23743f057be5ec8296c9555cd03cf0b656\",0,\"line_circle_intersection\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318647,
+      "path": "data/train/pae/oproofs-s00002-r00006396-n000004-0000-5475c9245f838410.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5475c9245f83841057d616a47038aab6d70d06885dc1402ba729c43ba7289dcd"
+    },
+    {
+      "bytes": 26442,
+      "path": "data/dev/pae/oproofs-s00002-r00006396-n000004-0000-2fc0a952648b9be9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "2fc0a952648b9be92a9aaef1510420de377eb7bcb4d8f1f1911d21040f93a111"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006400-n000004.json b/manifests/batches/oproofs/s00002-r00006400-n000004.json
index dc8f792f57057a0f05c9a63485863fe0ca629f23..ab210ccb2d051576bf1f1543cd472089393d7da4 100644
--- a/manifests/batches/oproofs/s00002-r00006400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006400-n000004",
   "batch_fingerprint": "4232ea5e60523494c9f8d6dec724515d8564e66446aa583abdfc6b48ab191756",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6400",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6401",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6402",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6403"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006400.lean\",\"c75f0e90caf488136cfba62e9e3490f9b276f8e728980c2ff24fee6e86bbbecc\",0,\"lean_workbook_plus_32291\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006401.lean\",\"7fd584f60c170f768a5976d5e8a30e7fde03edd807cfba72356fa75b1442db0d\",0,\"lean_workbook_plus_39312\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006402.lean\",\"4307a73727fd30b10e039d48ea12852e45ccffa098b22e2c5ca6f158e8233c8d\",0,\"lean_workbook_40775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006403.lean\",\"781f553b7487123342a29f651ce141027fe55b4b7793729512f8761dcd58fcc3\",0,\"lean_workbook_plus_25093\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006400-n000004-0000-cd42a1f8d844dbf4.parquet",
-      "sha256": "cd42a1f8d844dbf49b9df06cd837d1468b9ade9ac1d1a9900b710b7a7134acd6",
       "bytes": 141038,
+      "path": "data/train/p32/oproofs-s00002-r00006400-n000004-0000-cd42a1f8d844dbf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "cd42a1f8d844dbf49b9df06cd837d1468b9ade9ac1d1a9900b710b7a7134acd6"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006400-n000004-0000-e511fde240e7b0f9.parquet",
-      "sha256": "e511fde240e7b0f9e2d46ce227261d6ab33554bfc5ca2ec423d2ecbca6cf839d",
       "bytes": 76710,
+      "path": "data/dev/p32/oproofs-s00002-r00006400-n000004-0000-e511fde240e7b0f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "e511fde240e7b0f9e2d46ce227261d6ab33554bfc5ca2ec423d2ecbca6cf839d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006400-n000004-0000-00baa33b3fa2db60.parquet",
-      "sha256": "00baa33b3fa2db607858a45a931a66896a3eb21980b4bee759b15d36315e2ff9",
       "bytes": 48902,
+      "path": "data/internal_test/p32/oproofs-s00002-r00006400-n000004-0000-00baa33b3fa2db60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "00baa33b3fa2db607858a45a931a66896a3eb21980b4bee759b15d36315e2ff9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6400",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6401",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6402",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6403"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006400.lean\",\"c75f0e90caf488136cfba62e9e3490f9b276f8e728980c2ff24fee6e86bbbecc\",0,\"lean_workbook_plus_32291\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006401.lean\",\"7fd584f60c170f768a5976d5e8a30e7fde03edd807cfba72356fa75b1442db0d\",0,\"lean_workbook_plus_39312\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006402.lean\",\"4307a73727fd30b10e039d48ea12852e45ccffa098b22e2c5ca6f158e8233c8d\",0,\"lean_workbook_40775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006403.lean\",\"781f553b7487123342a29f651ce141027fe55b4b7793729512f8761dcd58fcc3\",0,\"lean_workbook_plus_25093\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006404-n000004.json b/manifests/batches/oproofs/s00002-r00006404-n000004.json
index e1875d7735b4b4b4a0494140b7ccead326fb13ff..7c111a58bc705d1428ac4bbfc9bb86d69aeb50f0 100644
--- a/manifests/batches/oproofs/s00002-r00006404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006404-n000004",
   "batch_fingerprint": "72b130134218d36d248debc677e52a0eda6e77f297bb1a0692a6128965cc67b9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006404-n000004-0000-689a9c17c3ba7a50.parquet",
-      "sha256": "689a9c17c3ba7a503fd87dab9d95c94a002fda7b76881461ec434acbb8d8c7eb",
-      "bytes": 341755,
-      "rows": 15,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006405.lean\",\"82ce0b653498aafa2bd6d73d430b5d33bcce455b82048930f3740e4a83823aff\",0,\"lean_workbook_plus_20655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006406.lean\",\"e5702bb3739c69a18b2f40b4a1d399f86eddccec36122a744074fec1a61e6dc1\",0,\"lean_workbook_plus_36791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006407.lean\",\"24e0f4daa328ad03a3ab22a63cb404e0292d35ff66fef41078a849054c95b848\",0,\"lean_workbook_plus_66342\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341755,
+      "path": "data/train/pf5/oproofs-s00002-r00006404-n000004-0000-689a9c17c3ba7a50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "689a9c17c3ba7a503fd87dab9d95c94a002fda7b76881461ec434acbb8d8c7eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006408-n000004.json b/manifests/batches/oproofs/s00002-r00006408-n000004.json
index 7e55cb493381f3ceb9c2a612c7e84dd025811514..17f4b512d370285be41474e24b44df491021e490 100644
--- a/manifests/batches/oproofs/s00002-r00006408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006408-n000004",
   "batch_fingerprint": "ae99adff9e18af7db7087037b7137bb8b577e351bd0554842fbbf2ce12c070f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006408-n000004-0000-ef5f2cfc48b76388.parquet",
-      "sha256": "ef5f2cfc48b763883536f98c0521e1540f9e0b6e0363121d359c0705bae57211",
-      "bytes": 976876,
-      "rows": 36,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006409.lean\",\"1a84c1b031f699e0e4cbc234ddb6d320fd9cb9a1c818379cc82754862b5fbfbf\",0,\"lean_workbook_plus_29988\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006410.lean\",\"a06da6ef4bba1927a34cf87811b325a1d621ab9622403792fbf3fd307628f3c0\",0,\"lean_workbook_plus_18594\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006411.lean\",\"76fbb394da965d2ef5d51515102bb441ff2b427e36d0503be5e6c0768ce89943\",0,\"lastDigit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 976876,
+      "path": "data/train/pfa/oproofs-s00002-r00006408-n000004-0000-ef5f2cfc48b76388.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "ef5f2cfc48b763883536f98c0521e1540f9e0b6e0363121d359c0705bae57211"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006412-n000004.json b/manifests/batches/oproofs/s00002-r00006412-n000004.json
index d327b16393637e947119d7d7df3e60dbd9e7818f..22a1047f1f3c7a2949b07ba586bb0920cd7353b3 100644
--- a/manifests/batches/oproofs/s00002-r00006412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006412-n000004",
   "batch_fingerprint": "474aa3455bc7cae4db62380a8cd1bce74aa926f10213392b057033e480690ac2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006412-n000004-0000-ffcc1e8925576e9c.parquet",
-      "sha256": "ffcc1e8925576e9c0e5211b57f9dfc83ea1333e0c2e103807c5285fc2ef64721",
-      "bytes": 575272,
-      "rows": 17,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006412-n000004-0000-69f574d7ae0fa9d8.parquet",
-      "sha256": "69f574d7ae0fa9d8c544f6cbdf497187d14e11b78279029bde4d88ffcd1c3151",
-      "bytes": 32783,
-      "rows": 4,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6413",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006413.lean\",\"6df9baabf83068a447e43f7241c976d5b1507c904adc792b8c18f1b63fa1e0b9\",0,\"sum_infinite_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006414.lean\",\"8aebb8396d446f0b8ca8ad2c48975467b613075ff0694eec2add589ef8a05886\",0,\"prove_quadrilateral\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006415.lean\",\"2748b927cdee500b0f14b8df9ef5e9f5f61dc52704f5682567b8b90f570acf35\",0,\"algebra_585917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 575272,
+      "path": "data/train/pdd/oproofs-s00002-r00006412-n000004-0000-ffcc1e8925576e9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ffcc1e8925576e9c0e5211b57f9dfc83ea1333e0c2e103807c5285fc2ef64721"
+    },
+    {
+      "bytes": 32783,
+      "path": "data/internal_test/pdd/oproofs-s00002-r00006412-n000004-0000-69f574d7ae0fa9d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "69f574d7ae0fa9d8c544f6cbdf497187d14e11b78279029bde4d88ffcd1c3151"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006416-n000004.json b/manifests/batches/oproofs/s00002-r00006416-n000004.json
index 9372637749a4eef603a66bf0467e6f49a489ad97..46b5b4a4a0fb6bb8ca7be1ed9949e58d5fb591d0 100644
--- a/manifests/batches/oproofs/s00002-r00006416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006416-n000004",
   "batch_fingerprint": "5c512b62387f990beedf6ce42752f15f3c2559cdbd498b7cffb89e853eab6703",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006416-n000004-0000-fad0c814762f2b88.parquet",
-      "sha256": "fad0c814762f2b884d993680af8d02c53a3808340d13e6e1e256f8e116ec0fe3",
-      "bytes": 179831,
-      "rows": 13,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006416-n000004-0000-f57b63c94b31d9b6.parquet",
-      "sha256": "f57b63c94b31d9b6aba297b6efff5d8954ea137bdb190b29331a137225cd85b9",
-      "bytes": 192973,
-      "rows": 4,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006417.lean\",\"31c89176774d4e129ddb13b918280228786776a959593f949a6c65035adbebd1\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006418.lean\",\"ed668aca7f9b3398519970aef6f1eb61a1b00b870dfce37bff6a1c29d3e27463\",0,\"prove1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006419.lean\",\"791ab24ed0de87abbcf25432a6ad2a1237d928d19807d26ccb2054175ef0f3ff\",0,\"max_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179831,
+      "path": "data/train/pb1/oproofs-s00002-r00006416-n000004-0000-fad0c814762f2b88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fad0c814762f2b884d993680af8d02c53a3808340d13e6e1e256f8e116ec0fe3"
+    },
+    {
+      "bytes": 192973,
+      "path": "data/internal_test/pb1/oproofs-s00002-r00006416-n000004-0000-f57b63c94b31d9b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f57b63c94b31d9b6aba297b6efff5d8954ea137bdb190b29331a137225cd85b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006420-n000004.json b/manifests/batches/oproofs/s00002-r00006420-n000004.json
index 3f324c249e36bb80b11c3a19ac081dd461fe9f78..1fe2eea94d863cd89e345acd3a6b77c597e51d87 100644
--- a/manifests/batches/oproofs/s00002-r00006420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006420-n000004",
   "batch_fingerprint": "9a826374365234ef7fdbb048516593bf9d7520595ddc87e628c0648b0d5291ef",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006420-n000004-0000-d60ee728d304312e.parquet",
-      "sha256": "d60ee728d304312e42082c123841df0a6a73f08745fce5f30f4d197d04cec80a",
-      "bytes": 401384,
-      "rows": 17,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006421.lean\",\"5f751374459be4637420cc4fe4eaf503959e21e987919f545efef95024a5aa22\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006422.lean\",\"b03e311ae98f2f476b57999fc4c37a5807fda4233bc157334f676aa65ce1c77c\",0,\"Tendsto_f\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006423.lean\",\"16dfed92a0096247313aa11194e04b6f06c0e5008e2f6ca413bdf92ffdfea02e\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 401384,
+      "path": "data/train/p7f/oproofs-s00002-r00006420-n000004-0000-d60ee728d304312e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d60ee728d304312e42082c123841df0a6a73f08745fce5f30f4d197d04cec80a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006424-n000004.json b/manifests/batches/oproofs/s00002-r00006424-n000004.json
index 9706c4270e3998f3f085070445ea5a2944b62c8d..c7d7f07a109e080d7d54ff272624dfcd4089846d 100644
--- a/manifests/batches/oproofs/s00002-r00006424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006424-n000004",
   "batch_fingerprint": "81b6916ac61f7d71dbdbff0f8298ba379efa50c08d7c8ac6bcb8bc1d7b9b9acf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006424-n000004-0000-4e291b31d87fc2cb.parquet",
-      "sha256": "4e291b31d87fc2cb50701ef52077a317abb37278f752edc18c760b2380bbe6b8",
-      "bytes": 488503,
-      "rows": 15,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006425.lean\",\"5d12ad535b449fb28b2e12b25562e09f9c1deb956c6930bb0d7b958931661241\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006426.lean\",\"cc5b3bf3c0e2debd681218b87358b2ed282a7cd5639cc7e94a0cf1ff7abeb57e\",0,\"inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006427.lean\",\"2d983a0d732469e1bad9c38205566cbd09995fa2b76ba3723bafb98ff8f579e3\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488503,
+      "path": "data/train/pc3/oproofs-s00002-r00006424-n000004-0000-4e291b31d87fc2cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4e291b31d87fc2cb50701ef52077a317abb37278f752edc18c760b2380bbe6b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006428-n000004.json b/manifests/batches/oproofs/s00002-r00006428-n000004.json
index a1abd9ecd9cb44cdfe5de3ce0e32cefc2f6ccf98..ba7681a3b2fb99bbc3b1a79a26d73d0e55cd081c 100644
--- a/manifests/batches/oproofs/s00002-r00006428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006428-n000004",
   "batch_fingerprint": "8794331552deb6e5ce0deab7fa2122292f0ee5310d70af4e7100ba8ddc15f96f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006428-n000004-0000-f86e43b28e5b3d38.parquet",
-      "sha256": "f86e43b28e5b3d384c7030716aedde61b2996cdc46abc4ea8a77dcee4aee33a3",
-      "bytes": 391284,
-      "rows": 13,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006429.lean\",\"58aaed42008cec79dd02fa87a5b402f22cb51b0461019011673aa762ece6ec17\",0,\"algebra_478619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006430.lean\",\"2e54b897ba5f3e23742358123128f08e6682417b8f45c9aea274c29a1a95b588\",0,\"arith_seq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006431.lean\",\"534519e67c0f8c0d70436c11cda578cfc16d78db098d0eadff7decc2e7d7ee01\",0,\"real_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391284,
+      "path": "data/train/p28/oproofs-s00002-r00006428-n000004-0000-f86e43b28e5b3d38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f86e43b28e5b3d384c7030716aedde61b2996cdc46abc4ea8a77dcee4aee33a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006432-n000004.json b/manifests/batches/oproofs/s00002-r00006432-n000004.json
index 409b4203bccb9250ec09db8946d71284cd1adcb9..26ff3e5fd8d28c2e2c2028104fc9a0dfa87195ed 100644
--- a/manifests/batches/oproofs/s00002-r00006432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006432-n000004",
   "batch_fingerprint": "cf3d7b47115af6bc1c8365b63f9eaaca9a2f4a2d277b7d84d82bb5b99016e18e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006432-n000004-0000-f56edca5761ec8c5.parquet",
-      "sha256": "f56edca5761ec8c5e70f72d2f2b3972782d8605790c3a0b47c419e60d995bc0f",
-      "bytes": 390036,
-      "rows": 17,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006433.lean\",\"41b8fcb686b6a7bb4414d839bf866034beb6ef2b08fbaee89493ca898d92f0d2\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006434.lean\",\"5e7131891c325f4388b59ed7bb7f020d98cef210ba487f11eda0bc24d8474bbb\",0,\"algebra_480918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006435.lean\",\"c2736596f9744c9e7e8a57389fdfd59c574317f0a1034a45e7bd7710a14fea27\",0,\"sum_of_fractions\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 390036,
+      "path": "data/train/pd6/oproofs-s00002-r00006432-n000004-0000-f56edca5761ec8c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f56edca5761ec8c5e70f72d2f2b3972782d8605790c3a0b47c419e60d995bc0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006436-n000004.json b/manifests/batches/oproofs/s00002-r00006436-n000004.json
index 22f3548178d4806ec93dbb9b0191adbb4b68507a..b15512a121bc599423910b66c5aeffeb550d146c 100644
--- a/manifests/batches/oproofs/s00002-r00006436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006436-n000004",
   "batch_fingerprint": "400b290b7dd9caa6db33e14f785e2d0003a69ec1af9bbca1667e17facaa38858",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006436-n000004-0000-3021b7fbf0911f6b.parquet",
-      "sha256": "3021b7fbf0911f6b36fa728819c0715ccaf5b053a812e951d73408187a20b62f",
-      "bytes": 212455,
-      "rows": 7,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006436-n000004-0000-7b1b8149bbeb26d8.parquet",
-      "sha256": "7b1b8149bbeb26d80c5da42ba69c37ef91a6d9205db34c264ddd0614e0fec943",
-      "bytes": 456776,
-      "rows": 4,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006437.lean\",\"40eee90710b8b6956ab5cda423c4446f711c3d9f7c7c3d3b1a4b803d8646c3bb\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006438.lean\",\"0ba01c543397e540938d428efb72052730f6e50630122119a21db70a190f26f2\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006439.lean\",\"a0deb48570782b77ff41dffc0e1240cf144db0e042219620da70680e04ab0ffb\",0,\"Real.sumOfXkYl\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212455,
+      "path": "data/train/pb5/oproofs-s00002-r00006436-n000004-0000-3021b7fbf0911f6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3021b7fbf0911f6b36fa728819c0715ccaf5b053a812e951d73408187a20b62f"
+    },
+    {
+      "bytes": 456776,
+      "path": "data/internal_test/pb5/oproofs-s00002-r00006436-n000004-0000-7b1b8149bbeb26d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7b1b8149bbeb26d80c5da42ba69c37ef91a6d9205db34c264ddd0614e0fec943"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006440-n000004.json b/manifests/batches/oproofs/s00002-r00006440-n000004.json
index 9cd5947f9b762d714cab1469f9d7af446ede0f57..f22be263b5e7b8947e62a18a3948ff6f48a52afa 100644
--- a/manifests/batches/oproofs/s00002-r00006440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006440-n000004",
   "batch_fingerprint": "64182b8aca4d85ad42894c596d1f49b4caf41c9d9bf12979b9177f4047589e0b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006440-n000004-0000-576516aa704d85a5.parquet",
-      "sha256": "576516aa704d85a56e8a71908c7b554e628284a9ec925c41d74ed5a2f3601fbf",
-      "bytes": 958685,
-      "rows": 22,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006441.lean\",\"6bceefbc6321682ca8abfac71343c62ae4175e8f4c2c4329f6e486ec9e3f4f8b\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006442.lean\",\"47b98a6065c9bbb553807648295b5d383562c5e3a6f2c10ccc609bf055372a72\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006443.lean\",\"c90911d93ef6d5ae919bd62d3ec2a3bb7369c7ab909c45cecb1d4918290bb02d\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 958685,
+      "path": "data/train/pe3/oproofs-s00002-r00006440-n000004-0000-576516aa704d85a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "576516aa704d85a56e8a71908c7b554e628284a9ec925c41d74ed5a2f3601fbf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006444-n000004.json b/manifests/batches/oproofs/s00002-r00006444-n000004.json
index 8840b6a9ae66afa43745410c2111aa17087de8df..2a679550d5d12f7059dea173367a2f77c5c03060 100644
--- a/manifests/batches/oproofs/s00002-r00006444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006444-n000004",
   "batch_fingerprint": "3caf103c80141807d38b78846a207e09c857b3812e198e6ca92c43efbeddf998",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006444-n000004-0000-cf1197290fb4b2e1.parquet",
-      "sha256": "cf1197290fb4b2e1dbf497e430777bec36d9fb69893a0070c8b8cbb6a30999ab",
-      "bytes": 1336079,
-      "rows": 25,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006445.lean\",\"025d5699861a30414d024ae2e6cbe7917392cc89df8cad1676e6a4ada173fd26\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006446.lean\",\"079755752714438535cb6fb734a60550bcafe201f49176debbd2bbe9a7b27d13\",0,\"number_theory\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006447.lean\",\"5ff49c991a6b39210124821d93684ae6975d8c3e1cd912b4c9a0a2d9439d4e64\",0,\"RealInequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1336079,
+      "path": "data/train/p2b/oproofs-s00002-r00006444-n000004-0000-cf1197290fb4b2e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cf1197290fb4b2e1dbf497e430777bec36d9fb69893a0070c8b8cbb6a30999ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006448-n000004.json b/manifests/batches/oproofs/s00002-r00006448-n000004.json
index 4999486176791abb12a74c52d231e80019969ed5..9015173112f0eaa1031450b7b90d995630ff7d29 100644
--- a/manifests/batches/oproofs/s00002-r00006448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006448-n000004",
   "batch_fingerprint": "32b5303956e5ac54b728ffcfb5c33c4edd33fa86dd9fbdf8f2bf44b4003b3ffc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006448-n000004-0000-bfe4d5812031b37d.parquet",
-      "sha256": "bfe4d5812031b37dbfcb658a4fe04b5469a076c019f44e8688f3a5b1fb45bcab",
-      "bytes": 254072,
-      "rows": 13,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006449.lean\",\"e197b657775f6f40eeaa0d58be4db0350724b73e57b98ed3e92753255254df98\",0,\"algebra_518211\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006450.lean\",\"17ec5bbc1fb951ea07e63a2689424a3040eee37044d3dc8eaf6696674094928c\",0,\"ComplexEq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006451.lean\",\"b128bfae760a1cc3ea5a0b5ba77ac4938d1b1d9e524780dbc82771f68f1adcac\",0,\"algebra_596215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254072,
+      "path": "data/train/pea/oproofs-s00002-r00006448-n000004-0000-bfe4d5812031b37d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bfe4d5812031b37dbfcb658a4fe04b5469a076c019f44e8688f3a5b1fb45bcab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006452-n000004.json b/manifests/batches/oproofs/s00002-r00006452-n000004.json
index 7ee3ababd83382d0a93c113aa2c0754a6db19bf2..f4e4e148b7f81d01cc2c21939ef67ad8f474609a 100644
--- a/manifests/batches/oproofs/s00002-r00006452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006452-n000004",
   "batch_fingerprint": "50852f45b54607833669e44746afd099aca7f79365ec5bdf3379e19616154958",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006452-n000004-0000-1efb65bdcae29020.parquet",
-      "sha256": "1efb65bdcae29020661c0ae395987cf0354e05286a7ad81d0bed6fe8647b3cb0",
-      "bytes": 977580,
-      "rows": 24,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006453.lean\",\"f83c78dcc521180463c55a3c465013def47aa92bf2790b865d6b1f2eb3e80e5c\",0,\"algebra_578689\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006454.lean\",\"09c0928467650ac93146129ea3bcda3fb73a1a22a5c9ef0edd7e12f0f18d36cd\",0,\"algebra_397201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006455.lean\",\"8dfc0ceccbe7c52b77c7e7bb5dca96aa5ea75250874c3f5f66cc3caa01f1ae6a\",0,\"algebraic_ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 977580,
+      "path": "data/train/p02/oproofs-s00002-r00006452-n000004-0000-1efb65bdcae29020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "1efb65bdcae29020661c0ae395987cf0354e05286a7ad81d0bed6fe8647b3cb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006456-n000004.json b/manifests/batches/oproofs/s00002-r00006456-n000004.json
index ae91007b1226414e9592dd695e14f082127b2f82..90f6857af4174bf376ebcc438fa398d2c1ff24c7 100644
--- a/manifests/batches/oproofs/s00002-r00006456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006456-n000004",
   "batch_fingerprint": "369121701744d6450d3585091a76c1c95af739f471ca04777b6f6c73ba90626c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006456-n000004-0000-a092cff7a46d9f67.parquet",
-      "sha256": "a092cff7a46d9f67e1766d2aaf455271b1dde32d14a0f1a1fa1e5979f665e2c7",
-      "bytes": 995420,
-      "rows": 28,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006456-n000004-0001-6612a85846bac4c7.parquet",
-      "sha256": "6612a85846bac4c7fdb2c62d8c6af6ace9599299bc24ec9005e1d3a69ba04932",
-      "bytes": 405243,
-      "rows": 8,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006457.lean\",\"210c8238611a57e8dc276b6d17138eae255074c526ac10ffae75669a208ea6f2\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006458.lean\",\"5c72fd1fcae3118c170f466640e3c60d7a2af8723b7bdc932b63710a483faf5e\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006459.lean\",\"cc680d0939d65d2659e6e6fee2e78b7156394aeec121fcce871bd9e54fd40521\",0,\"lean_workbook_plus_53841\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 995420,
+      "path": "data/train/p57/oproofs-s00002-r00006456-n000004-0000-a092cff7a46d9f67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a092cff7a46d9f67e1766d2aaf455271b1dde32d14a0f1a1fa1e5979f665e2c7"
+    },
+    {
+      "bytes": 405243,
+      "path": "data/train/p57/oproofs-s00002-r00006456-n000004-0001-6612a85846bac4c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6612a85846bac4c7fdb2c62d8c6af6ace9599299bc24ec9005e1d3a69ba04932"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006460-n000004.json b/manifests/batches/oproofs/s00002-r00006460-n000004.json
index 1593ffb86a4f6a973cd1373291a6d4c2def3749a..8aaba0ef726fe6d37bf23e5b86fc4b43ca9dde17 100644
--- a/manifests/batches/oproofs/s00002-r00006460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006460-n000004",
   "batch_fingerprint": "d2ceaa9405b6226bc51297b3b93db351a7c5cfd6aa07e848a5269a603b2c119d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006460-n000004-0000-a919c32c53249925.parquet",
-      "sha256": "a919c32c5324992572673fa7360cb5f37b2ec8356a55bcaac97689c4a6560aeb",
-      "bytes": 264207,
-      "rows": 18,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006461.lean\",\"9f2cec0a93115f2c957deb133bf3c183ee47dd795c3177a16e3c948afa6ad013\",0,\"lean_workbook_plus_34985\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006462.lean\",\"c2d50b852f4c7dedfe751c3527d8d3fa0785af43863676d012e228ca86769ac1\",0,\"lean_workbook_plus_78713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006463.lean\",\"72e83d7302e4f1f8b7d4ecc597b3d2fb461c79d80b86b690d024e6d70aa821ed\",0,\"lean_workbook_plus_61850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264207,
+      "path": "data/train/p75/oproofs-s00002-r00006460-n000004-0000-a919c32c53249925.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a919c32c5324992572673fa7360cb5f37b2ec8356a55bcaac97689c4a6560aeb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006464-n000004.json b/manifests/batches/oproofs/s00002-r00006464-n000004.json
index 3d97b6b1edb08d5ac5ad2d30373c240a478b01be..dcd2c8ad8c33cce0b3ed424b21945512d1d5696f 100644
--- a/manifests/batches/oproofs/s00002-r00006464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006464-n000004",
   "batch_fingerprint": "2cc28dd38b08d7312f61f94ae2c985a2844e390e43fa50d8f222f82f91571d69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006464-n000004-0000-b66041dfade0e1cb.parquet",
-      "sha256": "b66041dfade0e1cb9823409436089b72e035beb5e1e68deaad8bd3b3c21b4a73",
-      "bytes": 88105,
-      "rows": 14,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006465.lean\",\"bfe8ad101a67b29e0c069aee5364fd8183b8c53ab031b8d3a7fe4ceebc8e4216\",0,\"lean_workbook_plus_39672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006466.lean\",\"a29dc5dd41a4aa1d7bb6a08e467555807d00c3e7e69b9042387895e61bae3700\",0,\"lean_workbook_35092\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006467.lean\",\"a7ed532155dbc287dc759e068284afcf63d8a92b0570884c123f5c4c08f5f514\",0,\"lean_workbook_49323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88105,
+      "path": "data/train/p34/oproofs-s00002-r00006464-n000004-0000-b66041dfade0e1cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b66041dfade0e1cb9823409436089b72e035beb5e1e68deaad8bd3b3c21b4a73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006468-n000004.json b/manifests/batches/oproofs/s00002-r00006468-n000004.json
index 8f5464a0f29dab533826e158595291794b5fb92b..0ae6a1fc982f1eba8137c3455aa2ab28530b8741 100644
--- a/manifests/batches/oproofs/s00002-r00006468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006468-n000004",
   "batch_fingerprint": "1f79d966d62464c161331b7cc8053d5ae0d87be7e2d7262be88d4b034a953686",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006468-n000004-0000-810c138ecf5b88b2.parquet",
-      "sha256": "810c138ecf5b88b24f50051ca13b7e25764631c40b29d8bbcf8b78302b1db494",
-      "bytes": 145269,
-      "rows": 11,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006468-n000004-0000-929a36d292d86372.parquet",
-      "sha256": "929a36d292d86372eae50a6b904bd45a0124d89632020716046db2c12a39f60b",
-      "bytes": 68863,
-      "rows": 2,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006469.lean\",\"c262587160149ecb7f351f8e7b13129a07a6fe7afb0d8551777fc6774a44bc6b\",0,\"lean_workbook_plus_82361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006470.lean\",\"411ccb3d6e36429390620845356377a62ba4ad0d130b7107dc60d292c6db8c66\",0,\"lean_workbook_plus_49374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006471.lean\",\"6b106420869e81bc0ecca8358c5a7d3a2346db8a7e3ddd1a40d3bd9459d9603e\",0,\"lean_workbook_plus_74734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145269,
+      "path": "data/train/p21/oproofs-s00002-r00006468-n000004-0000-810c138ecf5b88b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "810c138ecf5b88b24f50051ca13b7e25764631c40b29d8bbcf8b78302b1db494"
+    },
+    {
+      "bytes": 68863,
+      "path": "data/internal_test/p21/oproofs-s00002-r00006468-n000004-0000-929a36d292d86372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "929a36d292d86372eae50a6b904bd45a0124d89632020716046db2c12a39f60b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006472-n000004.json b/manifests/batches/oproofs/s00002-r00006472-n000004.json
index d23454c10a51cd05f72481afa6955702eaeccfa8..2d91698866c5330bc3d4fb82458d8a56da015eb3 100644
--- a/manifests/batches/oproofs/s00002-r00006472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006472-n000004",
   "batch_fingerprint": "45b6a8ba926a568d6f6ceb34fd8eb038675bc465653d4a8c828fde80ba616273",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006472-n000004-0000-671bf99ee009df73.parquet",
-      "sha256": "671bf99ee009df73e62e9c4791c96974d5d8da06c49b5c813c100314d594b0b7",
-      "bytes": 221449,
-      "rows": 6,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006472-n000004-0000-0771e250f379f5dd.parquet",
-      "sha256": "0771e250f379f5ddf30898d405e22eee108c9b7b956e2a21665d0d80b48dfde6",
-      "bytes": 105571,
-      "rows": 10,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006473.lean\",\"e3db0fd7f8af2ab34a8d4e55f921f35347f6c06ccabae8b0348bc35ddf0c5fe0\",0,\"lean_workbook_37217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006474.lean\",\"ab2285da7ea2e7e938301f21e5db9e36a54e5d467e33f328a067a21914238270\",0,\"lean_workbook_plus_76440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006475.lean\",\"a1c4ae4f7abb8432dec3254ed2f9193d5ce18a77d042dbaef9c5926d687a0767\",0,\"lean_workbook_plus_46128\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221449,
+      "path": "data/train/pec/oproofs-s00002-r00006472-n000004-0000-671bf99ee009df73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "671bf99ee009df73e62e9c4791c96974d5d8da06c49b5c813c100314d594b0b7"
+    },
+    {
+      "bytes": 105571,
+      "path": "data/dev/pec/oproofs-s00002-r00006472-n000004-0000-0771e250f379f5dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0771e250f379f5ddf30898d405e22eee108c9b7b956e2a21665d0d80b48dfde6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006476-n000004.json b/manifests/batches/oproofs/s00002-r00006476-n000004.json
index af75bac868faabcc8f003a96544266047783db63..825b4b447054dac7ba2833973f520100e21db1a6 100644
--- a/manifests/batches/oproofs/s00002-r00006476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006476-n000004",
   "batch_fingerprint": "6b8ab737f1e978395a59ed05ea3531fdb24fe807ddc0ab61ea314bcc1879f8cf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006476-n000004-0000-5accafde811b2e41.parquet",
-      "sha256": "5accafde811b2e41d751a431537fefacc42582863f63511db9a632fe5c831e35",
-      "bytes": 463236,
-      "rows": 25,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006477.lean\",\"b034b362d482b753b0b25b63e238e3cf784679b5b46a48f4169a9388b6e0d469\",0,\"lean_workbook_plus_67864\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006478.lean\",\"0e0b44ffc81985d5655e0e5f1396c392f992f4bbde9739257fdb6c80c3c2e9bc\",0,\"lean_workbook_plus_32291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006479.lean\",\"0cac98acba725fd911c4adf9071c7386a009626a38ce0ac4c5aa5b84da216482\",0,\"lean_workbook_plus_41659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463236,
+      "path": "data/train/p14/oproofs-s00002-r00006476-n000004-0000-5accafde811b2e41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5accafde811b2e41d751a431537fefacc42582863f63511db9a632fe5c831e35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006480-n000004.json b/manifests/batches/oproofs/s00002-r00006480-n000004.json
index f05ea7c30bd62bb136967e3c66f4a2959738b9a1..e169616f86f14e2c75b68c30266e964e127d03eb 100644
--- a/manifests/batches/oproofs/s00002-r00006480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006480-n000004",
   "batch_fingerprint": "393cee3ee71f2d09f7b8da306e7656c4c5f4eaf8b54e3709fd9cc29cdc1f94fd",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6480",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6481",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6482",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6483"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006480.lean\",\"9f0201f259ea2e66529ace7d2bbd2f3783c8d02a187b4a6cb9b8abc2f3a9ce3d\",0,\"lean_workbook_plus_39312\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006481.lean\",\"5043ba8be33f91f7f30e6cd50a8508b5da697fc4c704d102098c6240f2427e53\",0,\"lean_workbook_40775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006482.lean\",\"8c3169874195b849bc6503c886fe1ee82d1ca0f5a22ff795b3d3d1fa2d822cfe\",0,\"lean_workbook_plus_27637\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006483.lean\",\"f26dbc5364d32ca8b96a17d3ea12c3132d0437b271c4753c057f87e7a8a81a2c\",0,\"lean_workbook_30476\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006480-n000004-0000-709761fb0c68ce58.parquet",
-      "sha256": "709761fb0c68ce5871f58f8d53da4903a3579d659dcba7f9be8935d6e618e833",
       "bytes": 124255,
+      "path": "data/train/p5d/oproofs-s00002-r00006480-n000004-0000-709761fb0c68ce58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "709761fb0c68ce5871f58f8d53da4903a3579d659dcba7f9be8935d6e618e833"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006480-n000004-0000-fec2ea46b52bab5a.parquet",
-      "sha256": "fec2ea46b52bab5aa62bdca764614eece2a27d154df33896c4f55c25417d72b2",
       "bytes": 68107,
+      "path": "data/dev/p5d/oproofs-s00002-r00006480-n000004-0000-fec2ea46b52bab5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "fec2ea46b52bab5aa62bdca764614eece2a27d154df33896c4f55c25417d72b2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006480-n000004-0000-8b5c5071a60ae6a9.parquet",
-      "sha256": "8b5c5071a60ae6a9851ca85c493dc68f3b99dbbb6ee7e9504f36e89b686bddf6",
       "bytes": 48174,
+      "path": "data/internal_test/p5d/oproofs-s00002-r00006480-n000004-0000-8b5c5071a60ae6a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
+      "sha256": "8b5c5071a60ae6a9851ca85c493dc68f3b99dbbb6ee7e9504f36e89b686bddf6"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6480",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6481",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6482",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6483"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006480.lean\",\"9f0201f259ea2e66529ace7d2bbd2f3783c8d02a187b4a6cb9b8abc2f3a9ce3d\",0,\"lean_workbook_plus_39312\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006481.lean\",\"5043ba8be33f91f7f30e6cd50a8508b5da697fc4c704d102098c6240f2427e53\",0,\"lean_workbook_40775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006482.lean\",\"8c3169874195b849bc6503c886fe1ee82d1ca0f5a22ff795b3d3d1fa2d822cfe\",0,\"lean_workbook_plus_27637\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006483.lean\",\"f26dbc5364d32ca8b96a17d3ea12c3132d0437b271c4753c057f87e7a8a81a2c\",0,\"lean_workbook_30476\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006484-n000004.json b/manifests/batches/oproofs/s00002-r00006484-n000004.json
index d7d4a7cc0a0e1108b244ef6f83e3d43eeeb085c5..8ce2e6fde4b64532415070fab940c7740d5e01f8 100644
--- a/manifests/batches/oproofs/s00002-r00006484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006484-n000004",
   "batch_fingerprint": "abf22046babbed5ca2358487a957503c925caef6ec6521ce6ecd562b7baf86c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006484-n000004-0000-e8d01426eacd0251.parquet",
-      "sha256": "e8d01426eacd0251135588b718a9ec9f2670aadcd94d463505cc1313d18dc77e",
-      "bytes": 211007,
-      "rows": 12,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006484-n000004-0000-c42f747e10e7b2de.parquet",
-      "sha256": "c42f747e10e7b2deedbaf636cf85b79f06ed4979b8375275ad0f14cedb70bc34",
-      "bytes": 115259,
-      "rows": 6,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006485.lean\",\"23308770a657ec51a0a3c13dd92b4a6e68f7f67218a08ae8be9773c118536a4d\",0,\"lean_workbook_plus_40533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006486.lean\",\"eefb81731f3fb1ca9f1a12eb0e6153a526a547e1b9d9ddad0bf49175494e4903\",0,\"lean_workbook_plus_20655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006487.lean\",\"00d7faa147404a22bdad2e8415b25d99678b4a64d082c64366692bf7aa26b240\",0,\"lean_workbook_plus_36791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211007,
+      "path": "data/train/p6a/oproofs-s00002-r00006484-n000004-0000-e8d01426eacd0251.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e8d01426eacd0251135588b718a9ec9f2670aadcd94d463505cc1313d18dc77e"
+    },
+    {
+      "bytes": 115259,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00006484-n000004-0000-c42f747e10e7b2de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c42f747e10e7b2deedbaf636cf85b79f06ed4979b8375275ad0f14cedb70bc34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006488-n000004.json b/manifests/batches/oproofs/s00002-r00006488-n000004.json
index eee408395a840c1c489ec46869e6934fcf1d604d..48361184f6e9f2e055365533e23c4b0c73db5c4e 100644
--- a/manifests/batches/oproofs/s00002-r00006488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006488-n000004",
   "batch_fingerprint": "fe685e9005c4ae3df694958e7ca0493c9063c5abe345e06e593ea931f26ade80",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000006/oproofs-s00002-r00006488-n000004-0000-0fa239dadacd42f6.parquet",
-      "sha256": "0fa239dadacd42f64facdf8f707a84178fc6a639732846ee9e9cd4cbe0c1c7be",
-      "bytes": 145612,
-      "rows": 13,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000006/oproofs-s00002-r00006488-n000004-0000-6d02ede1bda7cab5.parquet",
-      "sha256": "6d02ede1bda7cab57520241cc7d8a409d1c0015d03360481ca8712f0981865b5",
-      "bytes": 118952,
-      "rows": 2,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6489",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6490",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006489.lean\",\"31cad480b555e2c239807c20af2cbe285282b09adbddc36e98fe8acf5fde2060\",0,\"lean_workbook_plus_38519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006490.lean\",\"5270bd452af3f0573746f07c13d5f957591cd9a48335740dc340a40788b22519\",0,\"lean_workbook_plus_29988\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006491.lean\",\"f3a5c569807f54797f8a3358da501c01762976a0a4400d6d8fb74059f971e5de\",0,\"lean_workbook_plus_70510\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145612,
+      "path": "data/train/p09/oproofs-s00002-r00006488-n000004-0000-0fa239dadacd42f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0fa239dadacd42f64facdf8f707a84178fc6a639732846ee9e9cd4cbe0c1c7be"
+    },
+    {
+      "bytes": 118952,
+      "path": "data/internal_test/p09/oproofs-s00002-r00006488-n000004-0000-6d02ede1bda7cab5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6d02ede1bda7cab57520241cc7d8a409d1c0015d03360481ca8712f0981865b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006492-n000004.json b/manifests/batches/oproofs/s00002-r00006492-n000004.json
index af724a96e5af5a623c11fab5ada575e8c3920a11..259989990807b718a3674dc2f1f88c2b27484703 100644
--- a/manifests/batches/oproofs/s00002-r00006492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006492-n000004",
   "batch_fingerprint": "c5c5417041214499b4f4811358a25a413691a78d8ee042639cc9b02ed8d930b5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006492-n000004-0000-5301b2cdfb8e6746.parquet",
-      "sha256": "5301b2cdfb8e674620cb75e391e995a555080db5b23b1400a9b9f8b4852157d3",
-      "bytes": 281854,
-      "rows": 15,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006492-n000004-0000-3614446d590d03f7.parquet",
-      "sha256": "3614446d590d03f76469b5f404ee6ff58b11c26c019911c87ec895c1b0677220",
-      "bytes": 34006,
-      "rows": 4,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6493",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006493.lean\",\"6964828703685d20e0f0b13ee9d603fce84adbcfa818ffa0f8815e8196d86d64\",0,\"EuclideanGeometry.prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006494.lean\",\"b3cce9953ad165be037987df08026450fbbfc6049fa1af45a63a4df362130ea6\",0,\"prove_indefiniteintegration\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006495.lean\",\"5c4ca9793f58c5de65326c5e75b36d328b58bbc46bcc7da8dea0a0b494d6b3e0\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281854,
+      "path": "data/train/ped/oproofs-s00002-r00006492-n000004-0000-5301b2cdfb8e6746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5301b2cdfb8e674620cb75e391e995a555080db5b23b1400a9b9f8b4852157d3"
+    },
+    {
+      "bytes": 34006,
+      "path": "data/internal_test/ped/oproofs-s00002-r00006492-n000004-0000-3614446d590d03f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3614446d590d03f76469b5f404ee6ff58b11c26c019911c87ec895c1b0677220"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006496-n000004.json b/manifests/batches/oproofs/s00002-r00006496-n000004.json
index ad62cb4086a18869d68d0d7eea96a1a07156c905..4cd4331b9a766d4db8e6ff7806ffa0b5015aba15 100644
--- a/manifests/batches/oproofs/s00002-r00006496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006496-n000004",
   "batch_fingerprint": "bb3aa018282a60fa6a2835f5274e45d92bb4a89d680ae03ed28ef085e905b724",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006496-n000004-0000-b95e16fdff044d4d.parquet",
-      "sha256": "b95e16fdff044d4d80b2404ea605a5fa60b025141320c83edae7c447681e6951",
-      "bytes": 565599,
-      "rows": 17,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006497.lean\",\"7ee476eb4e0b462edb783f6fafbec79f749f5a5157b53fcb5c4786bd1f8e9475\",0,\"sin_eq_cos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006498.lean\",\"e40acb25fd426f8623f5be036f13a05f8ce4724fa33e9ad97e4d7a02db186d0f\",0,\"prove1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006499.lean\",\"b2dc34ef01b0b515f398ad2c153a0a0aa95a7de1e5efaa260b3f154ef41b349f\",0,\"algebra_585917\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565599,
+      "path": "data/train/p28/oproofs-s00002-r00006496-n000004-0000-b95e16fdff044d4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b95e16fdff044d4d80b2404ea605a5fa60b025141320c83edae7c447681e6951"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006500-n000004.json b/manifests/batches/oproofs/s00002-r00006500-n000004.json
index 0d6e0c73f03f83be9fe1fae018fc5d195a7f3e39..4c52192e973f5d0ec40466103c91691a968c5461 100644
--- a/manifests/batches/oproofs/s00002-r00006500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006500-n000004",
   "batch_fingerprint": "89a78a7190394336aaee447b143e11b5713a065afd5300507038c14e97ee0000",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006500-n000004-0000-6002ac697df47af1.parquet",
-      "sha256": "6002ac697df47af12d328d18a1bab057806360a9bb4961534b68f0c4df359d76",
-      "bytes": 299256,
-      "rows": 17,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006501.lean\",\"62473678ba6834b7e0e661f98574e0213e9b940a0351d1606e1c506e3d22522c\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006502.lean\",\"66470f08b92a57c41cb277b1dda120101a169e8c8b8637fc86437508a52b6f1d\",0,\"Nat.choose_power2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006503.lean\",\"d6b69af1ff09cb68f96e137915377a88a8dc8e0e3d64a98ea4c3465ac3a40607\",0,\"Tendsto_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299256,
+      "path": "data/train/p55/oproofs-s00002-r00006500-n000004-0000-6002ac697df47af1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6002ac697df47af12d328d18a1bab057806360a9bb4961534b68f0c4df359d76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006504-n000004.json b/manifests/batches/oproofs/s00002-r00006504-n000004.json
index d05ff919a3573606e6900c4413149319f620c211..a231ad2e1f13e291e1a35c08990783009d7b8ef2 100644
--- a/manifests/batches/oproofs/s00002-r00006504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006504-n000004",
   "batch_fingerprint": "4ef37040ba68d554dc4fe25450c5bd504f7984474dbb95163102fa0ba7ce165e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006504-n000004-0000-2c0f9eb4d21ef443.parquet",
-      "sha256": "2c0f9eb4d21ef4431c7ab6dab8b636bdd1ef3375e53df0ee9fefcf76355ea188",
-      "bytes": 193362,
-      "rows": 7,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006504-n000004-0000-3654ca4deebdb97f.parquet",
-      "sha256": "3654ca4deebdb97f5cd307b593e78ab2fde5a79dca87f37c763223b7810b6db3",
-      "bytes": 86947,
-      "rows": 2,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006505.lean\",\"67608b992f03e0d470bdd47c94ff6436f927772f135e52816c963b8a59555ba8\",0,\"EuclideanGeometry.prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006506.lean\",\"2d32c2a5e325c7c8ea5c6fe820d3e2a04a938b3d9c87ca9b0471e8b5c21ca9a3\",0,\"Polynomial.evalInt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006507.lean\",\"2b61a7ba4a3d2f3fefa503c3bc37398e5a95e965bae74b30f10363a59c50b4be\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193362,
+      "path": "data/train/p31/oproofs-s00002-r00006504-n000004-0000-2c0f9eb4d21ef443.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2c0f9eb4d21ef4431c7ab6dab8b636bdd1ef3375e53df0ee9fefcf76355ea188"
+    },
+    {
+      "bytes": 86947,
+      "path": "data/dev/p31/oproofs-s00002-r00006504-n000004-0000-3654ca4deebdb97f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3654ca4deebdb97f5cd307b593e78ab2fde5a79dca87f37c763223b7810b6db3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006508-n000004.json b/manifests/batches/oproofs/s00002-r00006508-n000004.json
index f5a2a4febf53be9a5b894675dbcd003af183ecf0..fa7813573046a4ab7c20b7de56370051f4da663f 100644
--- a/manifests/batches/oproofs/s00002-r00006508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006508-n000004",
   "batch_fingerprint": "32d30958c550ce019e70d3897e457d2e5dbac7f2831fc71b8ac226daff8e6099",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006508-n000004-0000-59938693fd98361b.parquet",
-      "sha256": "59938693fd98361bbfd6e58a9a557a7fe748eccdd583dbe42d4119f495aa6daf",
-      "bytes": 760536,
-      "rows": 18,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006509.lean\",\"3aaf254ae91b8787265ce58c1525abed7e676098a1abeb506dded06d62c1a0b6\",0,\"algebra_488866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006510.lean\",\"4bba3a1c7fc49115bbe233bb1ccb251367a14bf3f9a005a881c97094f264326a\",0,\"\u03b1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006511.lean\",\"ac54cf21f41c9f92b8323182e0495d4c4ef511c55f1acae8fa41ccfb2bd14df4\",0,\"sum_infinite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 760536,
+      "path": "data/train/p6f/oproofs-s00002-r00006508-n000004-0000-59938693fd98361b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "59938693fd98361bbfd6e58a9a557a7fe748eccdd583dbe42d4119f495aa6daf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006512-n000004.json b/manifests/batches/oproofs/s00002-r00006512-n000004.json
index b13fc16c46ee6f601b8fa524555b470fedc046ae..0fbcad32c92041db6828e5b302eddf8ccf22ee0e 100644
--- a/manifests/batches/oproofs/s00002-r00006512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006512-n000004",
   "batch_fingerprint": "c5767620387b8f75e123ee12f28c3819e2a907bd9297ec96b2afe274d8feae09",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006512-n000004-0000-b3ab1bbdabb746ab.parquet",
-      "sha256": "b3ab1bbdabb746ab1d3d7b5ce19adcf6f4cc353131d62683f20b518bba408e92",
-      "bytes": 520607,
-      "rows": 28,
-      "revision": "81ecbc0ee51d5800c63ad1710a30a7292d78d3e5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6513",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006513.lean\",\"43938a5b6a8b438478e2dcf7d3341080f4a7360b34b42596a16d35cd99e5a7e0\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006514.lean\",\"0e2228558b783112a2f02b06768fca33d30e06f1a2078ad04a4d4d8c5b8cc031\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006515.lean\",\"8d8af211365ab254e1fbc26eb3abc874acf29bffd846035800f684698726b893\",0,\"taylor_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 520607,
+      "path": "data/train/p0d/oproofs-s00002-r00006512-n000004-0000-b3ab1bbdabb746ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b3ab1bbdabb746ab1d3d7b5ce19adcf6f4cc353131d62683f20b518bba408e92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006516-n000004.json b/manifests/batches/oproofs/s00002-r00006516-n000004.json
index 7b28a273e4558aaa25aebb39cf082905d6b9a856..c56f7e23276a80cf4cbfe82a1b601a8f45b29f40 100644
--- a/manifests/batches/oproofs/s00002-r00006516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006516-n000004",
   "batch_fingerprint": "67d916456e152ed59b3108ff573ef1f310ce7d55e7d012ff7609668b13df5e92",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006516-n000004-0000-4fc6c86e829eb560.parquet",
-      "sha256": "4fc6c86e829eb56048c7a32ed7872c15ddd85fa26ac10cab230ded9f52aa597a",
-      "bytes": 357417,
-      "rows": 13,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006516-n000004-0000-0a552f672fa62a06.parquet",
-      "sha256": "0a552f672fa62a06cb9b4bc83aefc976aaafc62337829dc1179480abc6d2557b",
-      "bytes": 68731,
-      "rows": 7,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6517",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006517.lean\",\"fa15c73ff4ce7c3366a040f5b7732da42c28106a9edf33966a87fabbcb069745\",0,\"inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006518.lean\",\"944b2730835ea551e27c9c1e5b6bf6f7e2f23f4aa01d1c5907f13f687a63b251\",0,\"abs_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006519.lean\",\"aa78b5df4f292d7bdc40e0dd3e0fcfdabdece5caf425acec64c33e8ae29b60b3\",0,\"min_integer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 357417,
+      "path": "data/train/p15/oproofs-s00002-r00006516-n000004-0000-4fc6c86e829eb560.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4fc6c86e829eb56048c7a32ed7872c15ddd85fa26ac10cab230ded9f52aa597a"
+    },
+    {
+      "bytes": 68731,
+      "path": "data/dev/p15/oproofs-s00002-r00006516-n000004-0000-0a552f672fa62a06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0a552f672fa62a06cb9b4bc83aefc976aaafc62337829dc1179480abc6d2557b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006520-n000004.json b/manifests/batches/oproofs/s00002-r00006520-n000004.json
index 3becada2cd9c4c327e836752a8725f30b6071cda..4fcd7ec2b6860e6ada67f345e1de251bb6a951c6 100644
--- a/manifests/batches/oproofs/s00002-r00006520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006520-n000004",
   "batch_fingerprint": "c8360be955871e535609adb4bb426efcf61d1de8f75d10336daa585fa1904322",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006520-n000004-0000-0d6a1b120a8acc3c.parquet",
-      "sha256": "0d6a1b120a8acc3c5400102084ceec0c13e7fa2addc74eaeceb94a2c6afb3c64",
-      "bytes": 684061,
-      "rows": 28,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006520-n000004-0001-534e7c2f53330b47.parquet",
-      "sha256": "534e7c2f53330b47b42fce1d3850231f7e1af8a68df80550541ce542820e665d",
-      "bytes": 891177,
-      "rows": 5,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006521.lean\",\"625fbba04c168efccd16e0d99278489db21b23d929affd3f9217c127b1d2f9ef\",0,\"real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006522.lean\",\"d2218dd94bdca18f0d536e46f754117c6918d744464ce76756eead9bfe2e86ec\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006523.lean\",\"9532b8729ae76aa6a1f8cc5228ac1d3d4fa1bfb4c59766f5cd650bfe367de6aa\",0,\"algebra_480918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 684061,
+      "path": "data/train/pcc/oproofs-s00002-r00006520-n000004-0000-0d6a1b120a8acc3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "0d6a1b120a8acc3c5400102084ceec0c13e7fa2addc74eaeceb94a2c6afb3c64"
+    },
+    {
+      "bytes": 891177,
+      "path": "data/train/pcc/oproofs-s00002-r00006520-n000004-0001-534e7c2f53330b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "534e7c2f53330b47b42fce1d3850231f7e1af8a68df80550541ce542820e665d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006524-n000004.json b/manifests/batches/oproofs/s00002-r00006524-n000004.json
index b33ea199b500ed21d1cbe4977af883c4215abcb3..e49b2b00a2dd298180b2cc30735aa05daba2f293 100644
--- a/manifests/batches/oproofs/s00002-r00006524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006524-n000004",
   "batch_fingerprint": "0ca31474bd1622b0c262b0ace8ca84b5798868899c9b3b3eabed65ab02189cf3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006524-n000004-0000-bbea8090e3a9fc4a.parquet",
-      "sha256": "bbea8090e3a9fc4ae6894abb38fa824a43055e372c47c6dbddcba3997f1aac53",
-      "bytes": 222904,
-      "rows": 14,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006524-n000004-0000-3107631a9ad56363.parquet",
-      "sha256": "3107631a9ad563632474d7ea08bc3aed92f96a76e02ceb1e78e15df263c59d32",
-      "bytes": 253086,
-      "rows": 9,
-      "revision": "bae673d99579724aa3281d5fb60667d9b9a4b1dc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6525",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006525.lean\",\"c9a03f17b5e6f13a1177b98a223ac0bd97ff16ba18ddc8167f4ba5ded243b508\",0,\"algebra_436574\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006526.lean\",\"af187b6c45753f987647eb8e39ed0798806d1915b38322ff6c5426f973d1558e\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006527.lean\",\"bc5484396213895793ae9280e92e5f4257b0bbd8076475150e3c1ec715ba319e\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222904,
+      "path": "data/train/pc8/oproofs-s00002-r00006524-n000004-0000-bbea8090e3a9fc4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bbea8090e3a9fc4ae6894abb38fa824a43055e372c47c6dbddcba3997f1aac53"
+    },
+    {
+      "bytes": 253086,
+      "path": "data/internal_test/pc8/oproofs-s00002-r00006524-n000004-0000-3107631a9ad56363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3107631a9ad563632474d7ea08bc3aed92f96a76e02ceb1e78e15df263c59d32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006528-n000004.json b/manifests/batches/oproofs/s00002-r00006528-n000004.json
index 4f39fc09bba4b74c9a6ee917c255384360838acd..5493a0e9ec29459553e583ec71c177aa07101afa 100644
--- a/manifests/batches/oproofs/s00002-r00006528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006528-n000004",
   "batch_fingerprint": "1ea83a444f85e2e94c08e7bb39339d837b80dc6d66a1e23126d1fcc5973abce8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006528-n000004-0000-a78397ea53141984.parquet",
-      "sha256": "a78397ea53141984907356ad2d594746046413d7079934b52f7ac26b35cf22e6",
-      "bytes": 530501,
-      "rows": 14,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006528-n000004-0000-403021a25b17c09a.parquet",
-      "sha256": "403021a25b17c09af642bd13d83550de6b1470cdd3f32297fdac686ba7556e7b",
-      "bytes": 181370,
-      "rows": 5,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006529.lean\",\"508c92a7b956eb015d6bf3225937996b22a3d1581d132f21c63b237c1dc9a648\",0,\"algebra_467651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006530.lean\",\"643ce2298a954ef45c616601bcfab9b347fc7d15f00950a08436ee20e418c1ba\",0,\"algebra_456710\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006531.lean\",\"74668813ef067ddf2bf1e9cab5ec2c1e8dffd68d34039f525bd2b2ae5dcaba96\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 530501,
+      "path": "data/train/peb/oproofs-s00002-r00006528-n000004-0000-a78397ea53141984.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a78397ea53141984907356ad2d594746046413d7079934b52f7ac26b35cf22e6"
+    },
+    {
+      "bytes": 181370,
+      "path": "data/internal_test/peb/oproofs-s00002-r00006528-n000004-0000-403021a25b17c09a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "403021a25b17c09af642bd13d83550de6b1470cdd3f32297fdac686ba7556e7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006532-n000004.json b/manifests/batches/oproofs/s00002-r00006532-n000004.json
index 9095c82f9d448674a78a2f041a8f60c1b7723fed..c9add00f93e68ba2d5f79a6a3bb785be85d76951 100644
--- a/manifests/batches/oproofs/s00002-r00006532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006532-n000004",
   "batch_fingerprint": "6035864beb44bb9dcc32d6ca81d9e3400d7e862a63e0c7b018f539c78fd6a72a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006532-n000004-0000-c507d331ebb40e98.parquet",
-      "sha256": "c507d331ebb40e989131f66bfdcff793520861887d2aed1cd2dd629b3bc73f24",
-      "bytes": 1134679,
-      "rows": 12,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006533.lean\",\"50452502d5fcbebdb0a194fffb16e9b5176726abb77e33d057047c4ebbe4a685\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006534.lean\",\"58be7c1dedec9bf20fb2fe5487d654c8214e1bf81adaedb3e4759e6d1c3d21cd\",0,\"prove_injective\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006535.lean\",\"3e0a6fd347b177e7d75ca0b2fdfcf790272a67fa1b282a165e782d6bddb792a3\",0,\"algebra_596215\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1134679,
+      "path": "data/train/p22/oproofs-s00002-r00006532-n000004-0000-c507d331ebb40e98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c507d331ebb40e989131f66bfdcff793520861887d2aed1cd2dd629b3bc73f24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006536-n000004.json b/manifests/batches/oproofs/s00002-r00006536-n000004.json
index c7e86a4b5d4985d85d1dd80db8eca33095d17f3c..d7326fa8b7ce2cbd9262ed4b53944fe06e5b9926 100644
--- a/manifests/batches/oproofs/s00002-r00006536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006536-n000004",
   "batch_fingerprint": "531efd3ed3f49dfad44fd1f4bb3fe9dd400dcfe62fc6bb031b6108ee3a0d12b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006536-n000004-0000-c41fb77445f8fb59.parquet",
-      "sha256": "c41fb77445f8fb59086901e921f3e817bc7ff623caa3becdb83f101dd69f0b1b",
-      "bytes": 991062,
-      "rows": 14,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006536-n000004-0000-57dc872bc4998c23.parquet",
-      "sha256": "57dc872bc4998c23e59457575d7659bb1677fb602b82ea76eededd5e3459ef14",
-      "bytes": 577387,
-      "rows": 10,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006537.lean\",\"b74fdcf9c459ff991b5f65d01ac712e491a8e7e79cbce61588a5ea3c7f33728f\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006538.lean\",\"8a2e300cf50259a4fee96013974bc1a3f99ad25a33ab37c7e916f5065da5fe76\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006539.lean\",\"b8f5b2b2aa01afaf6118b4cebad812dc36874edb2fecb1a59b86c512918e22ca\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 991062,
+      "path": "data/train/pca/oproofs-s00002-r00006536-n000004-0000-c41fb77445f8fb59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c41fb77445f8fb59086901e921f3e817bc7ff623caa3becdb83f101dd69f0b1b"
+    },
+    {
+      "bytes": 577387,
+      "path": "data/internal_test/pca/oproofs-s00002-r00006536-n000004-0000-57dc872bc4998c23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "57dc872bc4998c23e59457575d7659bb1677fb602b82ea76eededd5e3459ef14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006540-n000004.json b/manifests/batches/oproofs/s00002-r00006540-n000004.json
index 04eaf03f411dce947ae77b1a4cdd9c28ff1b7ea9..55a0933c26ca01d2262ade8c677a016438efcf19 100644
--- a/manifests/batches/oproofs/s00002-r00006540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006540-n000004",
   "batch_fingerprint": "b7d85a2ff8e61674ebfa9926e74df18230b1b403d1aefa12a0f8f231813ff2f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006540-n000004-0000-bdbbf428f6d69a08.parquet",
-      "sha256": "bdbbf428f6d69a0812b528570781f9d17ea2190d3b4dfb9bfd565e6775885874",
-      "bytes": 659673,
-      "rows": 19,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006541.lean\",\"889a47ce89da86ac8e29eee88fbe9599fe269c0bff46f732165ee16c415ebbf1\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006542.lean\",\"5fe950ed0e061aa3fde4d1645ad2838687fc26571ed59fb78a73f92b221e8fda\",0,\"lean_workbook_plus_39672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006543.lean\",\"8848538441289ee6f903aedee769be482403fc238b92960a57c2457154ffbbf5\",0,\"lean_workbook_plus_55179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 659673,
+      "path": "data/train/pa0/oproofs-s00002-r00006540-n000004-0000-bdbbf428f6d69a08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "bdbbf428f6d69a0812b528570781f9d17ea2190d3b4dfb9bfd565e6775885874"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006544-n000004.json b/manifests/batches/oproofs/s00002-r00006544-n000004.json
index 01685a753bfa0e5c37fcfe8c94c7ee20447a7709..98489930ca7e73b0779c287853696e7c04e0d99c 100644
--- a/manifests/batches/oproofs/s00002-r00006544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006544-n000004",
   "batch_fingerprint": "e986250625f5b82cddb1acd061634812194d96d255d5bded61648338f08732dc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006544-n000004-0000-4db6fc666629c411.parquet",
-      "sha256": "4db6fc666629c411b294e82d251f50d1ae6af3470b41b2929cfd8e6c13463289",
-      "bytes": 78226,
-      "rows": 12,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006544-n000004-0000-a739b6994f7beec4.parquet",
-      "sha256": "a739b6994f7beec4c18f5140529e38a6883e3681576463ad52f0e8a37a3c08e0",
-      "bytes": 66537,
-      "rows": 3,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006545.lean\",\"8a59e7b3483b82ec08c988ef7fc05a836dcce0c53f8ae5339fd6bf87238535c4\",0,\"lean_workbook_49323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006546.lean\",\"6298441b0b9faf048360fe68fee66883288a9d7ca18c70b76244f2458b78dc3d\",0,\"lean_workbook_plus_55060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006547.lean\",\"7bed66076240f0aebfa9b007e102e7a376db7d0efa33435b0090adf96c8ca2b7\",0,\"lean_workbook_plus_82361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78226,
+      "path": "data/train/peb/oproofs-s00002-r00006544-n000004-0000-4db6fc666629c411.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4db6fc666629c411b294e82d251f50d1ae6af3470b41b2929cfd8e6c13463289"
+    },
+    {
+      "bytes": 66537,
+      "path": "data/internal_test/peb/oproofs-s00002-r00006544-n000004-0000-a739b6994f7beec4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a739b6994f7beec4c18f5140529e38a6883e3681576463ad52f0e8a37a3c08e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006548-n000004.json b/manifests/batches/oproofs/s00002-r00006548-n000004.json
index a9425e679c628a6e90f7b6ce631fa50bb4faa1fa..c1f88dde403d5ca01625c857f0360e249bf7305e 100644
--- a/manifests/batches/oproofs/s00002-r00006548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006548-n000004",
   "batch_fingerprint": "e9bd5d9183b739e20781c824c4980ef0c40d5b6a494d7774605e7ad964d3e879",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006548-n000004-0000-27782081ed1b6bb2.parquet",
-      "sha256": "27782081ed1b6bb240011dce51cc09a12918ffd8e9ab7720303e09257982fc58",
-      "bytes": 117904,
-      "rows": 12,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006549.lean\",\"003cf8de05c93169feaa6695747d7512014cc694cab2f3302c2d380e675d90d3\",0,\"lean_workbook_plus_74734\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006550.lean\",\"ddcbb996270d61b4cd94cc8224e4f18ac1078e789d00be415dd7e207f858b553\",0,\"lean_workbook_plus_66662\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006551.lean\",\"69b1d94ae5cb7d3a1d898a07fe9690e7e59d43e08fbf52370dc405f1e4919d6b\",0,\"lean_workbook_plus_36484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117904,
+      "path": "data/train/p36/oproofs-s00002-r00006548-n000004-0000-27782081ed1b6bb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "27782081ed1b6bb240011dce51cc09a12918ffd8e9ab7720303e09257982fc58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006552-n000004.json b/manifests/batches/oproofs/s00002-r00006552-n000004.json
index acabea8236b52981171b79b9527b9c37289f89d9..dcbe3917f17e871ece6d8c777b16ba6a1c9949ec 100644
--- a/manifests/batches/oproofs/s00002-r00006552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006552-n000004",
   "batch_fingerprint": "0259f1438b41c3c654b1fa97ec9977cafb3161d051348aacf040aae30a6bded6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006552-n000004-0000-4dacce5cbe752840.parquet",
-      "sha256": "4dacce5cbe7528403605b5a9962947bb722a05ffb3485929eea94f17945abdb4",
-      "bytes": 93415,
-      "rows": 7,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006552-n000004-0000-ed0118f00b1ca07c.parquet",
-      "sha256": "ed0118f00b1ca07c39e49d98926240011684df91f55b3fa1af31e9dc03aaa258",
-      "bytes": 83703,
-      "rows": 7,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006553.lean\",\"eacb97c6bdc9fc1cd77fe75072beea8f62101912a63a65734468de8c09e34e42\",0,\"lean_workbook_plus_53841\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006554.lean\",\"30cebb277e1cb7a1838890bc68a5c0c4e0869299339b068d46f548d7c1d4f33d\",0,\"lean_workbook_plus_78713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006555.lean\",\"a2fce7e36b7a9636dfb2fef3776931dbf8ca8d1d8c7cb0bd2c2b48dee636a988\",0,\"lean_workbook_plus_76440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93415,
+      "path": "data/train/pd6/oproofs-s00002-r00006552-n000004-0000-4dacce5cbe752840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4dacce5cbe7528403605b5a9962947bb722a05ffb3485929eea94f17945abdb4"
+    },
+    {
+      "bytes": 83703,
+      "path": "data/dev/pd6/oproofs-s00002-r00006552-n000004-0000-ed0118f00b1ca07c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ed0118f00b1ca07c39e49d98926240011684df91f55b3fa1af31e9dc03aaa258"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006556-n000004.json b/manifests/batches/oproofs/s00002-r00006556-n000004.json
index 946fbb18900543d66b642d10404aa16d8cd3f973..67cd5d843c06cc707c40f4a371b53ea9f172585a 100644
--- a/manifests/batches/oproofs/s00002-r00006556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006556-n000004",
   "batch_fingerprint": "39a17406482c54972a62cb1bbe7447a88f0375972dec42f85bee92a29746e842",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006556-n000004-0000-48a607db831e609e.parquet",
-      "sha256": "48a607db831e609ecca75a1709309eb3c0c626ded7c16349694ea5c21531b629",
-      "bytes": 510636,
-      "rows": 38,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006557.lean\",\"9c0a78aa1966dae1e6599bc1bd6ea6bec67ca820a3d04430a474f36b653ddc9d\",0,\"lean_workbook_plus_19546\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006558.lean\",\"1fcb697c7693226cc3b21bde0e96cbc08bdf2aaac7bab97a9db3b2dc75be1887\",0,\"lean_workbook_plus_81057\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006559.lean\",\"1a4cfb49b44d2c0c19fbc6f460ba4ab6c8bb229aef29c94665b87f6fbc9c16dd\",0,\"lean_workbook_plus_61850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 510636,
+      "path": "data/train/p8f/oproofs-s00002-r00006556-n000004-0000-48a607db831e609e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 38,
+      "sha256": "48a607db831e609ecca75a1709309eb3c0c626ded7c16349694ea5c21531b629"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006560-n000004.json b/manifests/batches/oproofs/s00002-r00006560-n000004.json
index 49b1c321b7c402b1b176a895e0067a409365a2cf..ce5f8454b988cb075eeca01079600068bc64c95e 100644
--- a/manifests/batches/oproofs/s00002-r00006560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006560-n000004",
   "batch_fingerprint": "1703ede9ad6c334bd1da4011920ae490b7a5acfe9210f3b8cc03e27ba3b373fe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006560-n000004-0000-8f917002276ff98f.parquet",
-      "sha256": "8f917002276ff98ff65acfe4a3c7acbc53b21a1ea322ae02d0ee5ad861d7eea7",
-      "bytes": 263941,
-      "rows": 18,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006560-n000004-0000-f2e6e45d808d4e34.parquet",
-      "sha256": "f2e6e45d808d4e34ac2c72024b91dc78f72044e33c113e0863f43e469a41b57b",
-      "bytes": 76937,
-      "rows": 2,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006561.lean\",\"2d106dfff2407e8281934217cd5c7228458acac82b3b1d67297f11313ee8fc97\",0,\"lean_workbook_plus_32291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006562.lean\",\"087a6a6e7b1e7ed0b2e0cb1cbcb72b406dbf313b135d58f3a6dbe3214a0906ee\",0,\"lean_workbook_plus_67864\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006563.lean\",\"dd6776129b36bd28743762370160f9674a61078cba95d2425419833e7843caa6\",0,\"lean_workbook_plus_41659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263941,
+      "path": "data/train/p3f/oproofs-s00002-r00006560-n000004-0000-8f917002276ff98f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8f917002276ff98ff65acfe4a3c7acbc53b21a1ea322ae02d0ee5ad861d7eea7"
+    },
+    {
+      "bytes": 76937,
+      "path": "data/dev/p3f/oproofs-s00002-r00006560-n000004-0000-f2e6e45d808d4e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f2e6e45d808d4e34ac2c72024b91dc78f72044e33c113e0863f43e469a41b57b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006564-n000004.json b/manifests/batches/oproofs/s00002-r00006564-n000004.json
index 9bcf523d53bf46a2621098458808544434b1b888..662da331c55840bb8e11136a24862b50d7900ab6 100644
--- a/manifests/batches/oproofs/s00002-r00006564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006564-n000004",
   "batch_fingerprint": "a93aa027ca897c39cc721b2a6e681ad6cb840183399816ab10ca01eff30558f1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006564-n000004-0000-2e7a7570f158001b.parquet",
-      "sha256": "2e7a7570f158001b41226d9b24470cb56a5d8e1e34b66fa49f35348def5efec9",
-      "bytes": 486875,
-      "rows": 20,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006564-n000004-0000-fe4fa4e13c36ef62.parquet",
-      "sha256": "fe4fa4e13c36ef62e880e10e530e151dc106b96edb3be4381def565950b782b6",
-      "bytes": 47855,
-      "rows": 4,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006565.lean\",\"f07bda8e12b1c91e954945c3c7e97e911608bfb28e0c5bd593312ee865daa4c5\",0,\"lean_workbook_plus_10535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006566.lean\",\"8cc188bb3a5e2fa400231fad4c5e1f63893f7bbdd453671c87af479bbec29440\",0,\"lean_workbook_28658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006567.lean\",\"d3203c08ba78c137ecd68f841d68d1fbed9a1b603b7e59cf157c2f2b1a7f2232\",0,\"lean_workbook_30476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 486875,
+      "path": "data/train/p81/oproofs-s00002-r00006564-n000004-0000-2e7a7570f158001b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2e7a7570f158001b41226d9b24470cb56a5d8e1e34b66fa49f35348def5efec9"
+    },
+    {
+      "bytes": 47855,
+      "path": "data/internal_test/p81/oproofs-s00002-r00006564-n000004-0000-fe4fa4e13c36ef62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fe4fa4e13c36ef62e880e10e530e151dc106b96edb3be4381def565950b782b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006568-n000004.json b/manifests/batches/oproofs/s00002-r00006568-n000004.json
index 0cde4fa2dfe370d0425ddfd0d9322b2edc9d5297..11e9bd4b19942d573c8e6288fed3b243e0fc21a3 100644
--- a/manifests/batches/oproofs/s00002-r00006568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006568-n000004",
   "batch_fingerprint": "b65019d59ff81c913d840fc1af0321c2194d7fadd276062ca279820e1c80c99a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006568-n000004-0000-e8ba52f4fe618918.parquet",
-      "sha256": "e8ba52f4fe6189183fffa069551b5ec077ace3935940df92b9d9d8035f3503b3",
-      "bytes": 271237,
-      "rows": 16,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006569.lean\",\"186e41be53d6449fe60b3f33270ecb464dae503cb796ca2a2fb17c2633be61ab\",0,\"lean_workbook_plus_36791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006570.lean\",\"9815b766282275393fb96dd60e972f0c6106f1effb3e3e51257ca558fceecf7c\",0,\"lean_workbook_plus_20655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006571.lean\",\"661e2025c39b845721f499d5547bce44e9e51ebef4d6374d7080864d614a523b\",0,\"line_circle_intersection\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271237,
+      "path": "data/train/p49/oproofs-s00002-r00006568-n000004-0000-e8ba52f4fe618918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e8ba52f4fe6189183fffa069551b5ec077ace3935940df92b9d9d8035f3503b3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006572-n000004.json b/manifests/batches/oproofs/s00002-r00006572-n000004.json
index 72b9bb626a5a5bbaaf45c94c00971dcf0494c3c6..5dfb17e767b8f490005795cf8c50fa957c4226ab 100644
--- a/manifests/batches/oproofs/s00002-r00006572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006572-n000004",
   "batch_fingerprint": "657f3f1120b2b9609a2309bea845baa10adaba264617717a3359481443bebbd4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006572-n000004-0000-fbadbfccd86ac3a0.parquet",
-      "sha256": "fbadbfccd86ac3a01c7885e69b2276f77e870f2cf1859729e3c4017a2b2194dc",
-      "bytes": 546382,
-      "rows": 24,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006573.lean\",\"ef961aae07896998972481cf0590359307cfa77e0d73f7be84801ad7739690a7\",0,\"lean_workbook_plus_2149\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006574.lean\",\"41f8b4430136781bc662509a0b566f124411d1812d2e79b44b650bb166fa7d6c\",0,\"lean_workbook_plus_29988\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006575.lean\",\"292174b049123dfcdd1f1f25e47b55553854ed9641bb0c83d040d731c3df0917\",0,\"Real.arctan1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 546382,
+      "path": "data/train/paf/oproofs-s00002-r00006572-n000004-0000-fbadbfccd86ac3a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "fbadbfccd86ac3a01c7885e69b2276f77e870f2cf1859729e3c4017a2b2194dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006576-n000004.json b/manifests/batches/oproofs/s00002-r00006576-n000004.json
index 805e4054d222bd0b6135bbf307a63e4a4904bf10..7420dbc9abf2bbf9c8d833b200d38004598b204c 100644
--- a/manifests/batches/oproofs/s00002-r00006576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006576-n000004",
   "batch_fingerprint": "5ba5c7519636f432b484dfe20c1d0a817289bf9f6d16dcc896705cb069300bc0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006576-n000004-0000-f1a26bb262d8cdb1.parquet",
-      "sha256": "f1a26bb262d8cdb14291b4a5b2e3bab9cc29a9526fe0d0e174c4231aaa1fae53",
-      "bytes": 199256,
-      "rows": 14,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006576-n000004-0000-f59676640cce2abb.parquet",
-      "sha256": "f59676640cce2abb00932df394975c6bd0a82935066429c8ed335a0166ebeeff",
-      "bytes": 30205,
-      "rows": 2,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6577",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006577.lean\",\"becc17b4284c89c2c361253d34a5b76300c3270fade729f7aa79b7ccd7aff5c9\",0,\"arcsin\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006578.lean\",\"03d9fe34851686ab98c04fdb730b70bd4fe40007018d91864179af74075642f0\",0,\"prove_indefiniteintegration\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006579.lean\",\"49924271a0f32296cbac4ccef7b4e7a5daa719d433c4273e2ebb20c9e8a59478\",0,\"sin_eq_cos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199256,
+      "path": "data/train/pc4/oproofs-s00002-r00006576-n000004-0000-f1a26bb262d8cdb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f1a26bb262d8cdb14291b4a5b2e3bab9cc29a9526fe0d0e174c4231aaa1fae53"
+    },
+    {
+      "bytes": 30205,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00006576-n000004-0000-f59676640cce2abb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f59676640cce2abb00932df394975c6bd0a82935066429c8ed335a0166ebeeff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006580-n000004.json b/manifests/batches/oproofs/s00002-r00006580-n000004.json
index 7aa33317ab0b544c5c7cbbcf4517055cdcce74c7..46abf1d64d1c2a97cc068dcb64039f8f20cbaba6 100644
--- a/manifests/batches/oproofs/s00002-r00006580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006580-n000004",
   "batch_fingerprint": "86f0a3a01eb3712345adeae5a04a8af898a827d19a9a6026a4dea0a4c91e571b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006580-n000004-0000-99c46e6a3a125b19.parquet",
-      "sha256": "99c46e6a3a125b1997caa4609957407d33c65405810a9b968f0495daf6045e3f",
-      "bytes": 359126,
-      "rows": 17,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6581",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006581.lean\",\"1669eda7bfda567d96d5b001efbba8afabe41fcb812064e5437c7cc1bdd33be9\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006582.lean\",\"d10a4c3ffc6b82af5917009ab74e3ed2bc57b65fb2b4352773e9e6a60084aa35\",0,\"Nat.choose_power2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006583.lean\",\"035853eb4ceb272ec2690de64aa96ca864bca7169a69f01b816be34d22a7557f\",0,\"Tendsto_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359126,
+      "path": "data/train/pc2/oproofs-s00002-r00006580-n000004-0000-99c46e6a3a125b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "99c46e6a3a125b1997caa4609957407d33c65405810a9b968f0495daf6045e3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006584-n000004.json b/manifests/batches/oproofs/s00002-r00006584-n000004.json
index 4cf3700297b747924875db76287cd8b99b64d187..ee45f6b26532641fabb2c68d86f37e054b2728e8 100644
--- a/manifests/batches/oproofs/s00002-r00006584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006584-n000004",
   "batch_fingerprint": "e0c2a8fe9a137d4e28e57f06969f82beabfe68352b1fed54675fefa1bbad4e0f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006584-n000004-0000-0017a8e6ae367cb8.parquet",
-      "sha256": "0017a8e6ae367cb8f20b6ba869a58af4a507ccc9d0e05aca6a4d8691bdbb9c77",
-      "bytes": 244185,
-      "rows": 14,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006585.lean\",\"f7223c528ccf4fae2c2d67a3626b3b2a0d4dee5024cdb202e74b98660a1ffeb2\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006586.lean\",\"6e464b56414f7f302dc96667e7aa6a6e05d98da5bf89754ac11d51a2b9881742\",0,\"sum_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006587.lean\",\"5e5c4cb10685e96a4d1777d61c8c09129a4194b10d442285c10d471138e9cc8b\",0,\"taylor_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244185,
+      "path": "data/train/p62/oproofs-s00002-r00006584-n000004-0000-0017a8e6ae367cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0017a8e6ae367cb8f20b6ba869a58af4a507ccc9d0e05aca6a4d8691bdbb9c77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006588-n000004.json b/manifests/batches/oproofs/s00002-r00006588-n000004.json
index 73f13c3472a49e76acfa6d187140810b3819419f..5aeb66c15110c64b9b273f1d1f098ad68a03955a 100644
--- a/manifests/batches/oproofs/s00002-r00006588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006588-n000004",
   "batch_fingerprint": "566ccb52dd869d8ff4d2b5011aa73c5deafb88bfd8002c1389f05c0d5385be22",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006588-n000004-0000-6da558eddda96923.parquet",
-      "sha256": "6da558eddda969234b2e02c6be7083cacd3677a6996663f18b7b4711e192c0b2",
-      "bytes": 203806,
-      "rows": 7,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006588-n000004-0000-a0e4c61bb8577e27.parquet",
-      "sha256": "a0e4c61bb8577e275b3f71e19138098326572ce55b804efdd394dc781b539519",
-      "bytes": 107980,
-      "rows": 6,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006589.lean\",\"1976c5ac0167a0b7d79f7023c5df7ddd700ae6ba5f28322bbc2364bb3e1600c6\",0,\"Topology.Basic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006590.lean\",\"fa411e3c8a005ca6af5ebc662f2a5519d361b90bc622111b69b1d2cc7c309065\",0,\"proveSumOfInteriors\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006591.lean\",\"ceba4cb164b0edbc6be90f2ab25cb62cbca50f12fbc63ebc65de6f28a51ad3e1\",0,\"abs_inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203806,
+      "path": "data/train/p22/oproofs-s00002-r00006588-n000004-0000-6da558eddda96923.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6da558eddda969234b2e02c6be7083cacd3677a6996663f18b7b4711e192c0b2"
+    },
+    {
+      "bytes": 107980,
+      "path": "data/internal_test/p22/oproofs-s00002-r00006588-n000004-0000-a0e4c61bb8577e27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a0e4c61bb8577e275b3f71e19138098326572ce55b804efdd394dc781b539519"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006592-n000004.json b/manifests/batches/oproofs/s00002-r00006592-n000004.json
index 27ba1324261a0bd5b7bd9daa76d78244fb19e91b..8b403e75641a23a4cd60a3b7b0dfef78bc6f76f9 100644
--- a/manifests/batches/oproofs/s00002-r00006592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006592-n000004",
   "batch_fingerprint": "0dff503157d8f87e280c429f36ded1c5f28969c4ac054f05bda7649408a6d3de",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006592-n000004-0000-978ecc93d259f8a3.parquet",
-      "sha256": "978ecc93d259f8a33e65880d2bdfb8678b1d1a7d5de1c24acc63c400f95ad973",
-      "bytes": 538739,
-      "rows": 28,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006593.lean\",\"66c2cd2ff49dc68d77eecedf2ea179b207232c3fe3e8a253b655d904d4dcb77d\",0,\"algebra_478619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006594.lean\",\"e744878fc25699f3d2805ffe562b5ecfe71a8034d6172c53022095a2a31247f6\",0,\"real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006595.lean\",\"89728e480bee6e4d406e02e2f60cb9e1be54516651120214892de54526a6a24a\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 538739,
+      "path": "data/train/pf2/oproofs-s00002-r00006592-n000004-0000-978ecc93d259f8a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "978ecc93d259f8a33e65880d2bdfb8678b1d1a7d5de1c24acc63c400f95ad973"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006596-n000004.json b/manifests/batches/oproofs/s00002-r00006596-n000004.json
index 81c34d1d3ab5da335667a9cb5168c40576e46f32..0ae186f7c6587b0fc18f41704f6e840ad58bb4b4 100644
--- a/manifests/batches/oproofs/s00002-r00006596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006596-n000004",
   "batch_fingerprint": "ac571524c5746d9cc535c36be8d602d5575a805d2bc62d6f83d2621d3a4fa7aa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006596-n000004-0000-e834a7d20a375c10.parquet",
-      "sha256": "e834a7d20a375c107219353accbdf9b173c85cfb2a500abd897f9fbeb0b58a38",
-      "bytes": 556066,
-      "rows": 15,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006596-n000004-0000-38fdcec43a67e347.parquet",
-      "sha256": "38fdcec43a67e3472ce3197c18433f28e253679422281a47a07994f8949c41ef",
-      "bytes": 82415,
-      "rows": 3,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6597",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006597.lean\",\"17c5633daa786b5f0f91aad0a690ff10ea52a2536a7338fa22d7dbadb171770e\",0,\"sqrt_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006598.lean\",\"905679cc2aa6f72f1e9b87f903b73b9a5c5e40553b761040c5d65be26c1d33fb\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006599.lean\",\"a2cb49c59a0ef1c79a3256822d1513ebc973e4ad005540cb5565bda2e1a2568a\",0,\"Nat.factorial_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 556066,
+      "path": "data/train/p35/oproofs-s00002-r00006596-n000004-0000-e834a7d20a375c10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e834a7d20a375c107219353accbdf9b173c85cfb2a500abd897f9fbeb0b58a38"
+    },
+    {
+      "bytes": 82415,
+      "path": "data/dev/p35/oproofs-s00002-r00006596-n000004-0000-38fdcec43a67e347.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "38fdcec43a67e3472ce3197c18433f28e253679422281a47a07994f8949c41ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006600-n000004.json b/manifests/batches/oproofs/s00002-r00006600-n000004.json
index a279c9bd914131c9d4b62f027bd82e633130a400..fb7d25398c839cfaf6725e98f826117cab25dca6 100644
--- a/manifests/batches/oproofs/s00002-r00006600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006600-n000004",
   "batch_fingerprint": "1c43de4904761f82d3f98a9f93edfad0e41cf8191751e007a2e7c5feb3eec420",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006600-n000004-0000-3ef9d11ba8ea042b.parquet",
-      "sha256": "3ef9d11ba8ea042b593dd2615ee0dae0d29e58d9c09f80965a1fc76d90fd7c5c",
-      "bytes": 1002016,
-      "rows": 18,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006601.lean\",\"31f5e69b2f4fd632e77a7f2b3d27e58702af0c3bf062964bc23448c5d2c49350\",0,\"algebra_480918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006602.lean\",\"c2a089e1151ee3fca2f456e52ac03f1b7f2dbd2528e16290ff51876a2feeb940\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006603.lean\",\"422df8e2a18bc5c463bc46b7f44ad2457d74e43bb55263ed90166260fa39d87b\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1002016,
+      "path": "data/train/pc7/oproofs-s00002-r00006600-n000004-0000-3ef9d11ba8ea042b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3ef9d11ba8ea042b593dd2615ee0dae0d29e58d9c09f80965a1fc76d90fd7c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006604-n000004.json b/manifests/batches/oproofs/s00002-r00006604-n000004.json
index 7c61ea836fbdd31d2daf6ca6b526592b26169d2e..fcfa82294eaab279f89a4d93bebaa86e8bdc41e8 100644
--- a/manifests/batches/oproofs/s00002-r00006604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006604-n000004",
   "batch_fingerprint": "db449273a5efb447674b55c51ccfcde463eaf9ecec394ed37281eea86b15de2a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006604-n000004-0000-6f8b15cc6a9eb618.parquet",
-      "sha256": "6f8b15cc6a9eb618d9bb3442c6b908d04cba59aecdf0b8f7a0d23ea05af97992",
-      "bytes": 189972,
-      "rows": 9,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006604-n000004-0000-61a56e0db4136fa4.parquet",
-      "sha256": "61a56e0db4136fa4db19074a5949a34d631cce0398173ff12e42012247a437e4",
-      "bytes": 229285,
-      "rows": 9,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006605.lean\",\"bb81dadc06804f5203ad2d8829f5c1e81eac957ebb97007fd07ecf792a90311f\",0,\"algebra_436574\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006606.lean\",\"0adc4fcabb6277a19b8057df21a288ddc1559a0698384ba450c196326704084e\",0,\"algebra_456710\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006607.lean\",\"f6e1ad87ab1143e23c235c0697ab1944699d1ff251052942082e1717e8bfc6a7\",0,\"math_indep\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189972,
+      "path": "data/train/pc9/oproofs-s00002-r00006604-n000004-0000-6f8b15cc6a9eb618.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "6f8b15cc6a9eb618d9bb3442c6b908d04cba59aecdf0b8f7a0d23ea05af97992"
+    },
+    {
+      "bytes": 229285,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00006604-n000004-0000-61a56e0db4136fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "61a56e0db4136fa4db19074a5949a34d631cce0398173ff12e42012247a437e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006608-n000004.json b/manifests/batches/oproofs/s00002-r00006608-n000004.json
index c5d297091aa450cad26ed801e43e707f456f3d07..307ddf62da65503070008315d1d321670e645f69 100644
--- a/manifests/batches/oproofs/s00002-r00006608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006608-n000004",
   "batch_fingerprint": "60201327a872a47645425da51841f20a38396d98f339ab874eea90c63f004947",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006608-n000004-0000-cd1ccc6ea3f0cfb8.parquet",
-      "sha256": "cd1ccc6ea3f0cfb83cb9013dcc9b71f79fbdda11c392aac8eaf714fb70d42a74",
-      "bytes": 429137,
-      "rows": 12,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006608-n000004-0000-8b885271982f5448.parquet",
-      "sha256": "8b885271982f5448b8ffe6cda02e69a20a1df7c26bb64d4a02797144b5113711",
-      "bytes": 235424,
-      "rows": 5,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006609.lean\",\"a80f7ceedde2547f118a8299b5b0f5fbde6bd4f1ba60cb51491fa74bca21fc47\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006610.lean\",\"2b2870eb85df8b32488986d84b5e3752d826976717f51c4c3a14dca059e2ce29\",0,\"sum_of_sins\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006611.lean\",\"d3e536173dc4653730bd63212941ee095560fd821f6c195a8bb5250bd115a2c0\",0,\"prove_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429137,
+      "path": "data/train/p1d/oproofs-s00002-r00006608-n000004-0000-cd1ccc6ea3f0cfb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "cd1ccc6ea3f0cfb83cb9013dcc9b71f79fbdda11c392aac8eaf714fb70d42a74"
+    },
+    {
+      "bytes": 235424,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00006608-n000004-0000-8b885271982f5448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8b885271982f5448b8ffe6cda02e69a20a1df7c26bb64d4a02797144b5113711"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006612-n000004.json b/manifests/batches/oproofs/s00002-r00006612-n000004.json
index 55dd1c42b6043592ace6048410bfdc57af1bb773..1ee3c930efc2ce046a4d2521ef0f806c2c5fe4cc 100644
--- a/manifests/batches/oproofs/s00002-r00006612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006612-n000004",
   "batch_fingerprint": "d3225a1cfab2bfa13438c3c3af5075826086b84bf10c1c486a2d89b1d7dffd46",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006612-n000004-0000-41a18a963b5e8ad6.parquet",
-      "sha256": "41a18a963b5e8ad698ebd05fed33f62e17721cf0bb403d5aafdad13ed7f21e06",
-      "bytes": 634428,
-      "rows": 15,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006612-n000004-0000-6a1029fa2de1d74f.parquet",
-      "sha256": "6a1029fa2de1d74fbe471538949ecfdd5e6718228435e4b2400d7cc030da2177",
-      "bytes": 320267,
-      "rows": 10,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6613",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006613.lean\",\"310518227ca1c8d07217d46da1c56540466a2519a26990597f54fe344e43fce4\",0,\"algebra_578689\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006614.lean\",\"3e4dfd49652a7fcabf14494ae846aad5d38adf282f94968a324ba9e456df2446\",0,\"RealInequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006615.lean\",\"7bc9179064a7b8dac351fbf6958203fc08ac6ba6db9a20566456c7ebd9015dd8\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 634428,
+      "path": "data/train/p41/oproofs-s00002-r00006612-n000004-0000-41a18a963b5e8ad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "41a18a963b5e8ad698ebd05fed33f62e17721cf0bb403d5aafdad13ed7f21e06"
+    },
+    {
+      "bytes": 320267,
+      "path": "data/internal_test/p41/oproofs-s00002-r00006612-n000004-0000-6a1029fa2de1d74f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6a1029fa2de1d74fbe471538949ecfdd5e6718228435e4b2400d7cc030da2177"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006616-n000004.json b/manifests/batches/oproofs/s00002-r00006616-n000004.json
index 71f72667ceb0f8aeefee108dc121aaca8d155fb1..9814c7519d8149ddab9dcdff99aa0aa94dce9f7e 100644
--- a/manifests/batches/oproofs/s00002-r00006616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006616-n000004",
   "batch_fingerprint": "be3fbc4d227ff46d3d49c8aa71bedc932838f1db7adedbe72422a7ef0427a534",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006616-n000004-0000-b4773bf20917f487.parquet",
-      "sha256": "b4773bf20917f487bdcd2205b77c719ea84f2dbf63f6b85f6b3ba5b32f797b37",
-      "bytes": 522446,
-      "rows": 12,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006617.lean\",\"b6ad073071f975169d4dee92f982e785978b0694db0b6561b091b24735e0d82a\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006618.lean\",\"b05c3975c90167cf0c1e5229c01da40d16dff57a771fc7a7e59c5a4646adc662\",0,\"algebra_397201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006619.lean\",\"c7038669648c50e7cbbb370f9a7b61bed942a509903f91b969c1428869f712ee\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 522446,
+      "path": "data/train/peb/oproofs-s00002-r00006616-n000004-0000-b4773bf20917f487.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b4773bf20917f487bdcd2205b77c719ea84f2dbf63f6b85f6b3ba5b32f797b37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006620-n000004.json b/manifests/batches/oproofs/s00002-r00006620-n000004.json
index c915d09bf8b8b3e3f26ce9d3cbc195bad6acd572..91395c1bf83e11502a25ed0cb43c513564d27ae2 100644
--- a/manifests/batches/oproofs/s00002-r00006620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006620-n000004",
   "batch_fingerprint": "4a9331dadb17200f11354052544a38f2423af0cf31e0a7112c506527278c9c67",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6620",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6621",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6622",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6623"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006620.lean\",\"53994db963926d49cb0ea85c6f33bdbfb6064875e56116b4ba6e0afb7dd6a639\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006621.lean\",\"fbad7ec28a15247a4fc7c295dc73bfac93cfbb011896dcb6a4fabdde742f378d\",0,\"max_min\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006622.lean\",\"b817475b3f943c16d9320b1be70c547c384ede9905b9a634ed68e6d802a99ed3\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006623.lean\",\"61619917b47878379d9dfa634de3bf347b9eecae209e6006e54c86452e7e8805\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006620-n000004-0000-c5ae346c59102da4.parquet",
-      "sha256": "c5ae346c59102da484bd3957ba146d144bce91d8c37d446218ecaca99d3939ec",
       "bytes": 382726,
+      "path": "data/train/p27/oproofs-s00002-r00006620-n000004-0000-c5ae346c59102da4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
+      "sha256": "c5ae346c59102da484bd3957ba146d144bce91d8c37d446218ecaca99d3939ec"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006620-n000004-0000-8d64daa78325778d.parquet",
-      "sha256": "8d64daa78325778d45883ee577d952ed4136224ab2d961f62040a11fba1f5d71",
       "bytes": 84059,
+      "path": "data/dev/p27/oproofs-s00002-r00006620-n000004-0000-8d64daa78325778d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
+      "sha256": "8d64daa78325778d45883ee577d952ed4136224ab2d961f62040a11fba1f5d71"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006620-n000004-0000-2e39c75fd1b8df6b.parquet",
-      "sha256": "2e39c75fd1b8df6b5950c8d6aae260f8ac0dd09a8bb29f879dce8ceab1b2968e",
       "bytes": 333448,
+      "path": "data/internal_test/p27/oproofs-s00002-r00006620-n000004-0000-2e39c75fd1b8df6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "f51b02367172f99e955dda53c625b388710ff057"
+      "sha256": "2e39c75fd1b8df6b5950c8d6aae260f8ac0dd09a8bb29f879dce8ceab1b2968e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6620",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6621",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6622",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6623"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006620.lean\",\"53994db963926d49cb0ea85c6f33bdbfb6064875e56116b4ba6e0afb7dd6a639\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006621.lean\",\"fbad7ec28a15247a4fc7c295dc73bfac93cfbb011896dcb6a4fabdde742f378d\",0,\"max_min\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006622.lean\",\"b817475b3f943c16d9320b1be70c547c384ede9905b9a634ed68e6d802a99ed3\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006623.lean\",\"61619917b47878379d9dfa634de3bf347b9eecae209e6006e54c86452e7e8805\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006624-n000004.json b/manifests/batches/oproofs/s00002-r00006624-n000004.json
index 716e79369610e65b8d3859ae9b019e09b8134453..57e1d627eefd559e9fb16abe92e860dbccd0520e 100644
--- a/manifests/batches/oproofs/s00002-r00006624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006624-n000004",
   "batch_fingerprint": "4ecf136e2c4396e0ff056437ad8cccea98ed9092a8976e713752b1a3d5c9ef31",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006624-n000004-0000-9260d23963ca2133.parquet",
-      "sha256": "9260d23963ca213397ddb68810d1afc86fa142fc4d25d85a14c4e70044520ba7",
-      "bytes": 102088,
-      "rows": 14,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006624-n000004-0000-b720cafcf9adb37a.parquet",
-      "sha256": "b720cafcf9adb37a02104750575e2d3c85aa282442ca9a2db6e696073662d9fd",
-      "bytes": 68532,
-      "rows": 3,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006625.lean\",\"90b866412a7b21840d9a1cedea361a85995e3ca85e82a7354580b8d19d37c5e3\",0,\"lean_workbook_plus_55060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006626.lean\",\"220134c7f33032a1f2e0aaf0b3ec6f8475fed85f9926feaaec2545341ce4610c\",0,\"prime_product_divisibility\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006627.lean\",\"b61125d5e4b520b66a4c977eea7a8ed5e2ac64a6b217c004d82381d2e05e54eb\",0,\"lean_workbook_plus_82361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102088,
+      "path": "data/train/pb2/oproofs-s00002-r00006624-n000004-0000-9260d23963ca2133.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9260d23963ca213397ddb68810d1afc86fa142fc4d25d85a14c4e70044520ba7"
+    },
+    {
+      "bytes": 68532,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00006624-n000004-0000-b720cafcf9adb37a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b720cafcf9adb37a02104750575e2d3c85aa282442ca9a2db6e696073662d9fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006628-n000004.json b/manifests/batches/oproofs/s00002-r00006628-n000004.json
index 7bfd761d9bf28784df179d7286818872c661e296..e4a6bc1b75eaef222b162c3a363dfd9cc9330a99 100644
--- a/manifests/batches/oproofs/s00002-r00006628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006628-n000004",
   "batch_fingerprint": "e29a6afdecbff2b1258a891d9dc22a4ef91cebe9df270e248ddb7a5fc2a35827",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006628-n000004-0000-7d389ac913bd4917.parquet",
-      "sha256": "7d389ac913bd49176db1a6f712e55bf7bafd8eaaf3041387a889db5411770211",
-      "bytes": 101232,
-      "rows": 14,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006628-n000004-0000-93144bd27cde815c.parquet",
-      "sha256": "93144bd27cde815c5e34c8ba1ef6aa7170382c73dbdd3b050cbcb0dfc63b8f09",
-      "bytes": 53142,
-      "rows": 5,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006629.lean\",\"1e224667d80b86600ecc021838cae2e3e101ba3ea6e49883f9499b14ca689990\",0,\"lean_workbook_plus_66662\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006630.lean\",\"4a37465eaa032f22ba03f632581a55073122cc0ccd9645bf62d5d0a58846f021\",0,\"lean_workbook_plus_36484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006631.lean\",\"d37b975b4a0eeab55ec6b6a0eeb89c06c324d0eb67c633a639d94cc25b2ea152\",0,\"lean_workbook_37217\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101232,
+      "path": "data/train/pe6/oproofs-s00002-r00006628-n000004-0000-7d389ac913bd4917.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7d389ac913bd49176db1a6f712e55bf7bafd8eaaf3041387a889db5411770211"
+    },
+    {
+      "bytes": 53142,
+      "path": "data/dev/pe6/oproofs-s00002-r00006628-n000004-0000-93144bd27cde815c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "93144bd27cde815c5e34c8ba1ef6aa7170382c73dbdd3b050cbcb0dfc63b8f09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006632-n000004.json b/manifests/batches/oproofs/s00002-r00006632-n000004.json
index a76d3ff4abfd724f70d1837ae40f431ec692cd5d..52b864021d8dbcae8eadedb3af868dd40d71995c 100644
--- a/manifests/batches/oproofs/s00002-r00006632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006632-n000004",
   "batch_fingerprint": "127bf62fb374b2daeab45ecb008ad71960259bf9884c27ebf4fc9d35b9ec24f3",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6632",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6633",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6634",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6635"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006632.lean\",\"d8b29e82bd6b143c4600fe64deea36ead93efba6ef0147995c80621ca7b5d6d6\",0,\"lean_workbook_plus_53841\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006633.lean\",\"993500497ce74503bb84156c80a4e23cfef69c9896b95a2042d8a9b3957bd3e8\",0,\"lean_workbook_plus_78713\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006634.lean\",\"25b1b2ed53c0ec7d6a7309a69bc538725c602e37aa8ae95211e1854b8b4f3fc1\",0,\"lean_workbook_plus_39312\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006635.lean\",\"2f9cb5a6da0a9b47c28a24cbef31fef9045b42c81cc5b5334e2adcac5ada31e7\",0,\"lean_workbook_40775\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006632-n000004-0000-a0a7c5e133f75dc2.parquet",
-      "sha256": "a0a7c5e133f75dc2abe9fab2b5f14a7d693497927506ec890c3afcc8c8349396",
       "bytes": 105559,
+      "path": "data/train/pca/oproofs-s00002-r00006632-n000004-0000-a0a7c5e133f75dc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
+      "sha256": "a0a7c5e133f75dc2abe9fab2b5f14a7d693497927506ec890c3afcc8c8349396"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006632-n000004-0000-3d1faa3d1ebd923b.parquet",
-      "sha256": "3d1faa3d1ebd923b60e94861db6b0247cd3d6cfcd8dbff1c29e55d8e6a4eb3d4",
       "bytes": 62489,
+      "path": "data/dev/pca/oproofs-s00002-r00006632-n000004-0000-3d1faa3d1ebd923b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
+      "sha256": "3d1faa3d1ebd923b60e94861db6b0247cd3d6cfcd8dbff1c29e55d8e6a4eb3d4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006632-n000004-0000-fbd990a4a0b5eb9d.parquet",
-      "sha256": "fbd990a4a0b5eb9d4b6655f1d078670c39ac54fce6bf839864ee7b84d08fd109",
       "bytes": 50307,
+      "path": "data/internal_test/pca/oproofs-s00002-r00006632-n000004-0000-fbd990a4a0b5eb9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
+      "sha256": "fbd990a4a0b5eb9d4b6655f1d078670c39ac54fce6bf839864ee7b84d08fd109"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6632",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6633",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6634",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6635"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006632.lean\",\"d8b29e82bd6b143c4600fe64deea36ead93efba6ef0147995c80621ca7b5d6d6\",0,\"lean_workbook_plus_53841\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006633.lean\",\"993500497ce74503bb84156c80a4e23cfef69c9896b95a2042d8a9b3957bd3e8\",0,\"lean_workbook_plus_78713\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006634.lean\",\"25b1b2ed53c0ec7d6a7309a69bc538725c602e37aa8ae95211e1854b8b4f3fc1\",0,\"lean_workbook_plus_39312\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006635.lean\",\"2f9cb5a6da0a9b47c28a24cbef31fef9045b42c81cc5b5334e2adcac5ada31e7\",0,\"lean_workbook_40775\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006636-n000004.json b/manifests/batches/oproofs/s00002-r00006636-n000004.json
index 81c7d93c4db0b32da4c6ca56292511b0093738a9..e87a4def2764c7497d2d143ae9e0e412cf9c60f6 100644
--- a/manifests/batches/oproofs/s00002-r00006636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006636-n000004",
   "batch_fingerprint": "cd77955336ae155d7d9ca28c50ee6c85bd8a524dc441589a11c80b892c80d165",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006636-n000004-0000-8d619464e1f1d8c7.parquet",
-      "sha256": "8d619464e1f1d8c7a72ea0bb43c817b531ff555e70bdddaf6514474dd0b0fec4",
-      "bytes": 331828,
-      "rows": 19,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006637.lean\",\"58b7e5219bf8b7cf92bf9fb570a4fa7911461589f8c13ad43ca5cc6c6768b02a\",0,\"lean_workbook_plus_32291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006638.lean\",\"408db53185c4e830cab225c927db16c4f77d41a95af2236ca2fcbc56d4effe40\",0,\"lean_workbook_plus_81057\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006639.lean\",\"cc0418c29e362b59d00aeba48b9359118142e3664a4850070ce9834eced29391\",0,\"lean_workbook_plus_19546\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331828,
+      "path": "data/train/p87/oproofs-s00002-r00006636-n000004-0000-8d619464e1f1d8c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8d619464e1f1d8c7a72ea0bb43c817b531ff555e70bdddaf6514474dd0b0fec4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006640-n000004.json b/manifests/batches/oproofs/s00002-r00006640-n000004.json
index 83e1fdf1f787fedfb4d6dbd324136b248658ff97..75104787ffe14247f88eb1506c604042e8a287f3 100644
--- a/manifests/batches/oproofs/s00002-r00006640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006640-n000004",
   "batch_fingerprint": "18bdf4fb947b3ac4c7cc7c81a1b82cf038c785327d74eaaced7026024c4ef84d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006640-n000004-0000-8de6a21d026f3ad9.parquet",
-      "sha256": "8de6a21d026f3ad9e9bfb4d60e3ae20a8dd85e1d4b31cfbe0b57ae38b8812899",
-      "bytes": 326684,
-      "rows": 27,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006641.lean\",\"83c5ae6a2c7a11c9280853b41b0bf8d4dc0876cdfd42671722cd9e88ffdae792\",0,\"lean_workbook_plus_34985\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006642.lean\",\"18b58f59e1197ba4d6ad70117e353a854e09dfe63b198e0084741d2e9b537e29\",0,\"lean_workbook_plus_41659\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006643.lean\",\"0de6b41b31bf534a11380566135c0c86f379c26eb2b7237bbcdde1694ca5c981\",0,\"lean_workbook_plus_61850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326684,
+      "path": "data/train/p74/oproofs-s00002-r00006640-n000004-0000-8de6a21d026f3ad9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8de6a21d026f3ad9e9bfb4d60e3ae20a8dd85e1d4b31cfbe0b57ae38b8812899"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006644-n000004.json b/manifests/batches/oproofs/s00002-r00006644-n000004.json
index 97f7ca4373549deefea3b86b142f31395f65af6e..26e37664448d8bc2d52107b3ffbadf9520f8e5d1 100644
--- a/manifests/batches/oproofs/s00002-r00006644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006644-n000004",
   "batch_fingerprint": "13e0b06ad6ae7fdaa5ec7b5d7bf7b785a3d879ef534eee7cf5ea99c85905ab5d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006644-n000004-0000-d6c6e937af50efa4.parquet",
-      "sha256": "d6c6e937af50efa4351b9e96e7992b8597e7d69816faa945b761acc12cc88856",
-      "bytes": 255769,
-      "rows": 20,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6645",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006645.lean\",\"c81f3e1f869ec5ce03cb7a3ce67b5c02bc14a44d290b471b4007eb69c097db26\",0,\"lean_workbook_plus_10535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006646.lean\",\"b09761bdf0f78edb0d7a646d837e0374928597d5ddc29b42ab313ca151de98b8\",0,\"lean_workbook_30476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006647.lean\",\"bee11f00d3bc59f4423862bce014c21ab977c034811cec26ac0cf9bdd4ec9fc5\",0,\"lean_workbook_plus_36791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255769,
+      "path": "data/train/p20/oproofs-s00002-r00006644-n000004-0000-d6c6e937af50efa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d6c6e937af50efa4351b9e96e7992b8597e7d69816faa945b761acc12cc88856"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006648-n000004.json b/manifests/batches/oproofs/s00002-r00006648-n000004.json
index 75b584d949ad3880e3470013d1047f5edd7eb6d1..b144317436ea57eb2a0679071e7a658163556c3d 100644
--- a/manifests/batches/oproofs/s00002-r00006648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006648-n000004",
   "batch_fingerprint": "75c25b1988383d843552cfe3711c3f8dc23bd5b7fa91c4849c89195a05145be9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006648-n000004-0000-7eefcbeaedc6abff.parquet",
-      "sha256": "7eefcbeaedc6abff7e4a38b17352ec4cdde6931b2e99e6531be2f2cb2e471ce9",
-      "bytes": 322557,
-      "rows": 16,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006649.lean\",\"1803502e0bda384ee1386565dda9b664c465d14323f10bced9d8beb40f940a15\",0,\"lean_workbook_plus_38519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006650.lean\",\"7057619d8a84423d2af2b8a6f7d8218fbb6a6a4f02856c28fdbfc7801f75bac6\",0,\"lean_workbook_plus_20655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006651.lean\",\"db9dbad4ea2ac6e3215ee79bddf52d98a7a8800eab65887675a0d09c7b90434c\",0,\"lean_workbook_plus_24616\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322557,
+      "path": "data/train/p13/oproofs-s00002-r00006648-n000004-0000-7eefcbeaedc6abff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7eefcbeaedc6abff7e4a38b17352ec4cdde6931b2e99e6531be2f2cb2e471ce9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006652-n000004.json b/manifests/batches/oproofs/s00002-r00006652-n000004.json
index 17ffa76c0da8e4e106ba0c01d4b8b676babace97..bd641fa867bc6957c4d44d5c836d87ac25808880 100644
--- a/manifests/batches/oproofs/s00002-r00006652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006652-n000004",
   "batch_fingerprint": "d850cb39e93e9b2a6cdd3289268f5f490b5a040c7f58e6539adc4da834d886c8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006652-n000004-0000-c9845906f3dc6ab8.parquet",
-      "sha256": "c9845906f3dc6ab8324511534acf356afadacf6e33c90759ab7816e7ef77ffe9",
-      "bytes": 580258,
-      "rows": 24,
-      "revision": "f78666585704acd94a0b0ee09bdf2c77cac7dc9f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006653.lean\",\"e1b8ccac976107e5382126fd6ba0f25fcf58b5e21805ebc4dfa15fb69a46fb02\",0,\"lastDigit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006654.lean\",\"740353016a7d5f4d4d1b5bd31cf3a57f9c07fd55ee43f7c99e39409b733b0c9e\",0,\"sum_of_positives\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006655.lean\",\"69b102b549f52a2267c419e58145342e95874c90068edf9c3db26bf7fd2f7d01\",0,\"lean_workbook_plus_40587\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 580258,
+      "path": "data/train/pc1/oproofs-s00002-r00006652-n000004-0000-c9845906f3dc6ab8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c9845906f3dc6ab8324511534acf356afadacf6e33c90759ab7816e7ef77ffe9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006656-n000004.json b/manifests/batches/oproofs/s00002-r00006656-n000004.json
index eb4799011825e785ed09231d8bbbf06468fbf477..6b2deb6b8ba1e3b27208b39962e3973e3547ffd2 100644
--- a/manifests/batches/oproofs/s00002-r00006656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006656-n000004",
   "batch_fingerprint": "e87163f964efc834c910f4ec2ac455183484530b606ab5c7293302d5c5f0a5df",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006656-n000004-0000-ec8ebeab8606f6fd.parquet",
-      "sha256": "ec8ebeab8606f6fd0cc005230df950a7769214e41a9515c063389706845099a8",
-      "bytes": 195069,
-      "rows": 19,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006657.lean\",\"d77ecd325b2959a0ce1a7dc250b13bd8fbfb90284b1af81e532e2f01825871fc\",0,\"arcsin\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006658.lean\",\"a7dc5e2dcc13f3ebed3b8aed19c665056b5641a138b2413b384178f254519743\",0,\"proveunique\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006659.lean\",\"10611ec02610594720b7b4c15dc45edf904507e99f5ba83606036be072879ca9\",0,\"Nat.choose_power2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195069,
+      "path": "data/train/pc6/oproofs-s00002-r00006656-n000004-0000-ec8ebeab8606f6fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ec8ebeab8606f6fd0cc005230df950a7769214e41a9515c063389706845099a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006660-n000004.json b/manifests/batches/oproofs/s00002-r00006660-n000004.json
index db292259ad450142e5d0edee7838c21a2e1810d8..c35a362b7b5717f1344ac1f718aad75fab60a0a6 100644
--- a/manifests/batches/oproofs/s00002-r00006660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006660-n000004",
   "batch_fingerprint": "6db2414a1c73cec4c64ce1be808b3b17a76e228b70dc7202aab22b87c75e04d7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006660-n000004-0000-52db8426777bb6cb.parquet",
-      "sha256": "52db8426777bb6cb384c363978c9a8c5a89e1bcf209e5f6635be00905f2157d0",
-      "bytes": 632445,
-      "rows": 12,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006660-n000004-0000-954e9a68b26e4c96.parquet",
-      "sha256": "954e9a68b26e4c9616f656ed115bd114eb2d24fca485a4ead2d3cca796316116",
-      "bytes": 178954,
-      "rows": 3,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006661.lean\",\"04d89c6e9f2c9a9cf41c7f58760efd90e5c4f66aadf141afeeb3afdf6642eda9\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006662.lean\",\"fae0b17dfb1adb0d6f6abb18f1871e6f98cf027c94f83850fbe4654d5ca9c8d1\",0,\"algebra_585917\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006663.lean\",\"207941ae70574acf1b9c817f0b49252fc9c7587206a1447ea98b3a8e73001fdc\",0,\"prove_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 632445,
+      "path": "data/train/p7b/oproofs-s00002-r00006660-n000004-0000-52db8426777bb6cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "52db8426777bb6cb384c363978c9a8c5a89e1bcf209e5f6635be00905f2157d0"
+    },
+    {
+      "bytes": 178954,
+      "path": "data/internal_test/p7b/oproofs-s00002-r00006660-n000004-0000-954e9a68b26e4c96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "954e9a68b26e4c9616f656ed115bd114eb2d24fca485a4ead2d3cca796316116"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006664-n000004.json b/manifests/batches/oproofs/s00002-r00006664-n000004.json
index 13a8e1cce257d81218be8274c0a6bcac86387fed..7a3a6df56386db27228bbdafbfb85d99542cf037 100644
--- a/manifests/batches/oproofs/s00002-r00006664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006664-n000004",
   "batch_fingerprint": "697c4e1cd86a8617202d491b78156d1155633d66f4842b3aacb6d777b8c6b600",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006664-n000004-0000-5e05794303fe9998.parquet",
-      "sha256": "5e05794303fe9998628591e0f3cb19dca4662f7d9a4ad09cad95381ac86051db",
-      "bytes": 140201,
-      "rows": 12,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006664-n000004-0000-9e2ba27732164ec5.parquet",
-      "sha256": "9e2ba27732164ec595fe9233979464d3acd775a5fdd9fb5549847825a435db09",
-      "bytes": 41011,
-      "rows": 1,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006665.lean\",\"e30f8f8c2aedb0230f2bd77c1c8b9bd95b38d069c14245af474eeeb8b78ad185\",0,\"Prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006666.lean\",\"f69c9907b0bdba2f13bf6a81a4b782c0de56ff6d5058659a7159904fc8ce447b\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006667.lean\",\"1526b71bbead5ff585a0eb99cd12c500a775147790eea348b8b08b945a93c97d\",0,\"sum_infinite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140201,
+      "path": "data/train/pd6/oproofs-s00002-r00006664-n000004-0000-5e05794303fe9998.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5e05794303fe9998628591e0f3cb19dca4662f7d9a4ad09cad95381ac86051db"
+    },
+    {
+      "bytes": 41011,
+      "path": "data/dev/pd6/oproofs-s00002-r00006664-n000004-0000-9e2ba27732164ec5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "9e2ba27732164ec595fe9233979464d3acd775a5fdd9fb5549847825a435db09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006668-n000004.json b/manifests/batches/oproofs/s00002-r00006668-n000004.json
index 1900f48c4d82cf2fc4d5dcac79f215c4b511a932..6ae8c939f4b89e249ca07aec9d807259cdf4d66d 100644
--- a/manifests/batches/oproofs/s00002-r00006668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006668-n000004",
   "batch_fingerprint": "0f7e679cdf6657c439f5af17101d50f40fc5c28a035b175122a8c93419cc00cc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006668-n000004-0000-5bb5ea4547bfc26c.parquet",
-      "sha256": "5bb5ea4547bfc26c41a9d58784cb167ff05e7b22dfedc0915c674f11613a32fe",
-      "bytes": 388064,
-      "rows": 15,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006668-n000004-0001-7c13878781854e09.parquet",
-      "sha256": "7c13878781854e09dcbe11711dcfebacf704220c9cf6de414b4c5d6d301ab0a6",
-      "bytes": 564637,
-      "rows": 6,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006669.lean\",\"153d3d31cd56d09bf2fabff4174d34ab69ae050f382da7c6055b4150b5e97e0a\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006670.lean\",\"c10cb4f1cef630ac4430c0959a3001ff2745463a6ef9c06f78001654001ef201\",0,\"Prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006671.lean\",\"2ccc2d56e117ae57f45bdbf74ea7057ab5c07c3a6eb93f14dda954cc703cb30d\",0,\"arith_seq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388064,
+      "path": "data/train/pac/oproofs-s00002-r00006668-n000004-0000-5bb5ea4547bfc26c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5bb5ea4547bfc26c41a9d58784cb167ff05e7b22dfedc0915c674f11613a32fe"
+    },
+    {
+      "bytes": 564637,
+      "path": "data/train/pac/oproofs-s00002-r00006668-n000004-0001-7c13878781854e09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7c13878781854e09dcbe11711dcfebacf704220c9cf6de414b4c5d6d301ab0a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006672-n000004.json b/manifests/batches/oproofs/s00002-r00006672-n000004.json
index 16b71a9ba87a37faf4450e73c2dcec354f1429e0..d91d3ba5220a0ff0b21d35a6ad5c920f7a78ca42 100644
--- a/manifests/batches/oproofs/s00002-r00006672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006672-n000004",
   "batch_fingerprint": "214a3feb560439dce6f1abcc0a87cd798445eb02f99559ef6fd7ee91231e6145",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6672",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6673",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6674",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6675"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006672.lean\",\"3cdbfd19ec11eeaf452eba08d27351706187b67f8aa228f11335726162cec0d4\",0,\"univ\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006673.lean\",\"56d4db3792dd68566e0f6159c84260a87a83eeef89ddd791c9cf3e7baed9421e\",0,\"proveSumOfInteriors\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006674.lean\",\"2b854838956d2d6685ab30652b3f8375b78d4cd92f26383886073dd29b7c006f\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006675.lean\",\"928bdf9f08aff242c6202a45a6c4e0d76046e753318936d3fa2e1a41d8d0a3d0\",0,\"min_integer\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006672-n000004-0000-5e1166f093c0184b.parquet",
-      "sha256": "5e1166f093c0184b1d09227256cadf6f2526cebd602a7830bc56435cedcbbadb",
       "bytes": 336403,
+      "path": "data/train/pd6/oproofs-s00002-r00006672-n000004-0000-5e1166f093c0184b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "5e1166f093c0184b1d09227256cadf6f2526cebd602a7830bc56435cedcbbadb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006672-n000004-0000-44f64bd5437c5653.parquet",
-      "sha256": "44f64bd5437c5653e3926c6de8f0734338ed97cf051747cba72256eb13687142",
       "bytes": 82473,
+      "path": "data/dev/pd6/oproofs-s00002-r00006672-n000004-0000-44f64bd5437c5653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "44f64bd5437c5653e3926c6de8f0734338ed97cf051747cba72256eb13687142"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006672-n000004-0000-f81127d8453b7351.parquet",
-      "sha256": "f81127d8453b7351cf5b5e353270e395abb25f32b1afc2404449917997872294",
       "bytes": 64138,
+      "path": "data/internal_test/pd6/oproofs-s00002-r00006672-n000004-0000-f81127d8453b7351.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "f81127d8453b7351cf5b5e353270e395abb25f32b1afc2404449917997872294"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6672",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6673",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6674",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6675"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006672.lean\",\"3cdbfd19ec11eeaf452eba08d27351706187b67f8aa228f11335726162cec0d4\",0,\"univ\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006673.lean\",\"56d4db3792dd68566e0f6159c84260a87a83eeef89ddd791c9cf3e7baed9421e\",0,\"proveSumOfInteriors\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006674.lean\",\"2b854838956d2d6685ab30652b3f8375b78d4cd92f26383886073dd29b7c006f\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006675.lean\",\"928bdf9f08aff242c6202a45a6c4e0d76046e753318936d3fa2e1a41d8d0a3d0\",0,\"min_integer\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006676-n000004.json b/manifests/batches/oproofs/s00002-r00006676-n000004.json
index 354ffd20c8f80e32280665c11d53203992b98c7b..55cba79207d27c6e76f39b8ee27604a7bf0864df 100644
--- a/manifests/batches/oproofs/s00002-r00006676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006676-n000004",
   "batch_fingerprint": "22331db40381f09132550bcf303839a9a20252e7266a343100e8a925ee23f38b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006676-n000004-0000-45a1c6e9a8509f41.parquet",
-      "sha256": "45a1c6e9a8509f4192df5e49a4b84d26c7186ea6632a677d98aec3d41fe6ad0b",
-      "bytes": 511417,
-      "rows": 19,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006677.lean\",\"8c04622f4ab3e30df7eb22e064d64b0bb343b0ea6025d8a467ea191196071fea\",0,\"real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006678.lean\",\"d3935bb315b52574873a31fb03ebabf7f56cb8b0e607dbc478c9e8dfb61af530\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006679.lean\",\"08dac176fd7654cebecded050afa43e7be7f427555339d6a8d923148ca71f9ab\",0,\"max_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511417,
+      "path": "data/train/p80/oproofs-s00002-r00006676-n000004-0000-45a1c6e9a8509f41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "45a1c6e9a8509f4192df5e49a4b84d26c7186ea6632a677d98aec3d41fe6ad0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006680-n000004.json b/manifests/batches/oproofs/s00002-r00006680-n000004.json
index f85aa4e478bf3d762d027b55500f42c257dbd579..403643e24fc5c857d2fde38473f991c7ebd024ab 100644
--- a/manifests/batches/oproofs/s00002-r00006680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006680-n000004",
   "batch_fingerprint": "5008e97be4dc6065c05737b56ea14b4870054b7daad3489ca4e5faffc87a0ef2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6680",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6681",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6682",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6683"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006680.lean\",\"dcced6a49104c40646a1d1ea21b37e93bdc27fab7146c3814de0e405e4321c49\",0,\"Nat.factorial_eq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006681.lean\",\"98c4438738e2eaffed25575618a4ddf6f0e7aa6346a751f8a3f508e96ae20cfd\",0,\"sqrt_ineq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006682.lean\",\"3f265daefc0d032df1e568b6c6d9d7ebc8622526c15361b3418a29534fda6893\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006683.lean\",\"c6de6edb256433a0c87969fa8a79892fbb3ca0fe65e340b711a3ad3bc73107a5\",0,\"inequalities\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006680-n000004-0000-76cc1decd78d2186.parquet",
-      "sha256": "76cc1decd78d21868a43aa57e38bee242c1819cf72a3f1c6c0781ef44f4be8c8",
       "bytes": 1296681,
+      "path": "data/train/paf/oproofs-s00002-r00006680-n000004-0000-76cc1decd78d2186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "76cc1decd78d21868a43aa57e38bee242c1819cf72a3f1c6c0781ef44f4be8c8"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006680-n000004-0001-ca0edee1f7aa80b4.parquet",
-      "sha256": "ca0edee1f7aa80b42a5302ead4b205e77e8e1bc8d7000993c37a72ea6c57093d",
       "bytes": 116584,
+      "path": "data/train/paf/oproofs-s00002-r00006680-n000004-0001-ca0edee1f7aa80b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "ca0edee1f7aa80b42a5302ead4b205e77e8e1bc8d7000993c37a72ea6c57093d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006680-n000004-0000-0b6bca2873033a87.parquet",
-      "sha256": "0b6bca2873033a87e0052f5861d51d6caebe590545d9a85fc5fdac15a7426cb1",
       "bytes": 488087,
+      "path": "data/dev/paf/oproofs-s00002-r00006680-n000004-0000-0b6bca2873033a87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "0b6bca2873033a87e0052f5861d51d6caebe590545d9a85fc5fdac15a7426cb1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6680",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6681",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6682",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6683"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006680.lean\",\"dcced6a49104c40646a1d1ea21b37e93bdc27fab7146c3814de0e405e4321c49\",0,\"Nat.factorial_eq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006681.lean\",\"98c4438738e2eaffed25575618a4ddf6f0e7aa6346a751f8a3f508e96ae20cfd\",0,\"sqrt_ineq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006682.lean\",\"3f265daefc0d032df1e568b6c6d9d7ebc8622526c15361b3418a29534fda6893\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006683.lean\",\"c6de6edb256433a0c87969fa8a79892fbb3ca0fe65e340b711a3ad3bc73107a5\",0,\"inequalities\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006684-n000004.json b/manifests/batches/oproofs/s00002-r00006684-n000004.json
index cce69e94bb89359ffc6f5256f4b8d36a8a274d87..a6385a425565bfa4277e3f53aa7c513548bcd18b 100644
--- a/manifests/batches/oproofs/s00002-r00006684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006684-n000004",
   "batch_fingerprint": "c738aebae71bf7d69d2dd5417c589007e22b877f812464f7546bb1ddd00ca40f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006684-n000004-0000-25fc61ff4baa2bde.parquet",
-      "sha256": "25fc61ff4baa2bde3f6b98fb6268b3e67c324ffe70f60c04a07b7c57099be172",
-      "bytes": 234358,
-      "rows": 13,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006685.lean\",\"1347d3168ede1cd41d737070b3e89e1d5f504622f34bcdd074775bb6d90f4e77\",0,\"algebra_518211\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006686.lean\",\"d681b01b5b091c6b36140a8280cc25604c8fb7c7a4283dd6f4ab1acefb7cd55e\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006687.lean\",\"6b2dca1b92639e34477fce9c4157ea47a28bbf59bcf69043cf9a10c6fae32c74\",0,\"algebra_480918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234358,
+      "path": "data/train/pb1/oproofs-s00002-r00006684-n000004-0000-25fc61ff4baa2bde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "25fc61ff4baa2bde3f6b98fb6268b3e67c324ffe70f60c04a07b7c57099be172"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006688-n000004.json b/manifests/batches/oproofs/s00002-r00006688-n000004.json
index 65e7ea20cad7e6b277dc8b3e1179f2645abdfc1a..d766674d1745c74d32f64043b35f35c22cfdc2dc 100644
--- a/manifests/batches/oproofs/s00002-r00006688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006688-n000004",
   "batch_fingerprint": "504f10f3fba668e132f81a8c4c18aaaf5a33dbb74935d9d1576d82bf542fd8ea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006688-n000004-0000-44880009757b4987.parquet",
-      "sha256": "44880009757b49873bec7a2f9ce483e6f41287ef253bd6e5e2875d8339ebec63",
-      "bytes": 273999,
-      "rows": 6,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006688-n000004-0000-843b912b04cbe4bf.parquet",
-      "sha256": "843b912b04cbe4bffe70b84b6f7a1011077f0f12225b80672f700200c1ddc702",
-      "bytes": 252494,
-      "rows": 9,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006689.lean\",\"46008686567269db3f5b5a3c0aec24b44dffb128bbbc8f2d7ad609030033b4e5\",0,\"algebra_436574\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006690.lean\",\"0eba789e8554a909569f1dfbfe0cca787a530ec75af4c148bb389f92a783fb5a\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006691.lean\",\"6bd0297dd8fd747cf61d450f00be000dcc224c5c1964d1cce56be4330ee0c548\",0,\"algebra_456710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273999,
+      "path": "data/train/p94/oproofs-s00002-r00006688-n000004-0000-44880009757b4987.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "44880009757b49873bec7a2f9ce483e6f41287ef253bd6e5e2875d8339ebec63"
+    },
+    {
+      "bytes": 252494,
+      "path": "data/internal_test/p94/oproofs-s00002-r00006688-n000004-0000-843b912b04cbe4bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "843b912b04cbe4bffe70b84b6f7a1011077f0f12225b80672f700200c1ddc702"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006692-n000004.json b/manifests/batches/oproofs/s00002-r00006692-n000004.json
index 2268ff8b3f27543aaff084c928b4998365432cb8..cf766e6294a4a2c661e5eb0c8f9fad98b4636712 100644
--- a/manifests/batches/oproofs/s00002-r00006692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006692-n000004",
   "batch_fingerprint": "3b62b3b347b5ba527f3d62f4f336a0400e285b027894494298a09509f90a5e4b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006692-n000004-0000-e096fa945f5e423b.parquet",
-      "sha256": "e096fa945f5e423b0881e30f088f0611963016423a9b0e01034370453ecbb425",
-      "bytes": 497932,
-      "rows": 13,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006692-n000004-0000-2b93cf8b8126e4fb.parquet",
-      "sha256": "2b93cf8b8126e4fbee52b1d3b02c90919b2afa7c83fe17aa84334b23df193f03",
-      "bytes": 227614,
-      "rows": 6,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6693",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006693.lean\",\"7a39fa2e7246cb33e03f686fd53507a4d4895fbf9f71b352c3baf68bdbbd4d74\",0,\"prove1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006694.lean\",\"b2e56f170a451ecc93cd6a23eecc552a384544e35197b22eab842bf8f7b788f3\",0,\"n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006695.lean\",\"3651b00e572939d082646717badcc9ef3bae7dc73a3b3a72be0d6d5a2dd7bd93\",0,\"prove_injective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 497932,
+      "path": "data/train/p70/oproofs-s00002-r00006692-n000004-0000-e096fa945f5e423b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e096fa945f5e423b0881e30f088f0611963016423a9b0e01034370453ecbb425"
+    },
+    {
+      "bytes": 227614,
+      "path": "data/internal_test/p70/oproofs-s00002-r00006692-n000004-0000-2b93cf8b8126e4fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2b93cf8b8126e4fbee52b1d3b02c90919b2afa7c83fe17aa84334b23df193f03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006696-n000004.json b/manifests/batches/oproofs/s00002-r00006696-n000004.json
index b667c614bfba28c4a60938635d16c388ca1e58fe..f86bc57e76898f67a5a97254e5b60e43bdf8aa3c 100644
--- a/manifests/batches/oproofs/s00002-r00006696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006696-n000004",
   "batch_fingerprint": "8c54811c2a254ee11a474d3e687552b1d4609b8297c50537088f4ca67d4a2d93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006696-n000004-0000-8c6ba0e3197d34c4.parquet",
-      "sha256": "8c6ba0e3197d34c41666f50cc1bca3c7fd1de0cb69647366028b4c43d2c3a6d5",
-      "bytes": 750664,
-      "rows": 24,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006697.lean\",\"3dfc5f46a2e6d95ef033da9e8b7e44a146b2aec223d16190504a140e0b6296bf\",0,\"algebra_596215\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006698.lean\",\"cc690754ac6de26d756a3aca3ae9c3de9858b7d072c86340fb04900c119f6595\",0,\"algebra_578689\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006699.lean\",\"5df034be4ad8db6b4b984f3d7144cff88f63a1eb82986d25d89104ef5d27cfde\",0,\"RealInequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 750664,
+      "path": "data/train/p04/oproofs-s00002-r00006696-n000004-0000-8c6ba0e3197d34c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "8c6ba0e3197d34c41666f50cc1bca3c7fd1de0cb69647366028b4c43d2c3a6d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006700-n000004.json b/manifests/batches/oproofs/s00002-r00006700-n000004.json
index 65d227b12aed5c6eeac6dd646c57dabac5ed1ad3..ec4fd471ca8afacd60c00eb4e45ee8194957cb94 100644
--- a/manifests/batches/oproofs/s00002-r00006700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006700-n000004",
   "batch_fingerprint": "00d86298c54e854a7cb49328bc8c52e18aca2d4bd72706de29f119fc13683a96",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6700",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6701",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6702",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6703"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006700.lean\",\"26996f3e1135762630c619eadd43afc9b9966cb721eede0a188f8e60e1e9baa7\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006701.lean\",\"fdb2bf968fcbbffb4371b0c8136866da1e1bc10f06a770def7e89d66e699fb36\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006702.lean\",\"faed86e97b9189ed054a18cde20c341b606b2c20979a483f43f3d3d96e54a533\",0,\"positive_a_b_c\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006703.lean\",\"88a155a2f9a6e8dd97afcbf71c52e638465274f03a0328b4ea423733b9f57728\",0,\"algebraic_ring\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006700-n000004-0000-5c30085508fb06eb.parquet",
-      "sha256": "5c30085508fb06ebbfdc9afb759353f19f9169639022f87cb3c0386053022f90",
       "bytes": 989946,
+      "path": "data/train/p89/oproofs-s00002-r00006700-n000004-0000-5c30085508fb06eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "5c30085508fb06ebbfdc9afb759353f19f9169639022f87cb3c0386053022f90"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006700-n000004-0001-2be38ac7b0ad434b.parquet",
-      "sha256": "2be38ac7b0ad434bd2348736ad04abae109370e0b6a543343fa8ca79a92903eb",
       "bytes": 737050,
+      "path": "data/train/p89/oproofs-s00002-r00006700-n000004-0001-2be38ac7b0ad434b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "2be38ac7b0ad434bd2348736ad04abae109370e0b6a543343fa8ca79a92903eb"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006700-n000004-0000-be04546b10ec3460.parquet",
-      "sha256": "be04546b10ec346085070de056631abb271b0bccd23a2036f66173bbfcfb5111",
       "bytes": 226564,
+      "path": "data/internal_test/p89/oproofs-s00002-r00006700-n000004-0000-be04546b10ec3460.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
+      "sha256": "be04546b10ec346085070de056631abb271b0bccd23a2036f66173bbfcfb5111"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6700",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6701",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6702",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6703"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006700.lean\",\"26996f3e1135762630c619eadd43afc9b9966cb721eede0a188f8e60e1e9baa7\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006701.lean\",\"fdb2bf968fcbbffb4371b0c8136866da1e1bc10f06a770def7e89d66e699fb36\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006702.lean\",\"faed86e97b9189ed054a18cde20c341b606b2c20979a483f43f3d3d96e54a533\",0,\"positive_a_b_c\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006703.lean\",\"88a155a2f9a6e8dd97afcbf71c52e638465274f03a0328b4ea423733b9f57728\",0,\"algebraic_ring\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006704-n000004.json b/manifests/batches/oproofs/s00002-r00006704-n000004.json
index f66a30e5fbf6e5535582e4da295c4923312101bd..fdd1714ef36b190ba322539d31e801b7b4343ff7 100644
--- a/manifests/batches/oproofs/s00002-r00006704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006704-n000004",
   "batch_fingerprint": "e881ce0c9e48ced2535208ff5289ce00954f54072af625483436fa88896aa73c",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006704-n000004-0000-fbb40b7c1c9f0664.parquet",
-      "sha256": "fbb40b7c1c9f0664239a8abad0069c7c3e4e1734c04bdd11d3bfd0fb476088bf",
-      "bytes": 348442,
-      "rows": 13,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6705",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006704.lean\",\"728da3a895d1abcf8221e2e14edf89e9e454e02c7e9d24eff226e199763ab09e\",0,\"prove_quadrilateral\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006705.lean\",\"da286cc13cd53b38f7587b7d6bbce84d09b554c7a145e4f32e05a99717fa3c21\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006706.lean\",\"a854adaa88ba3a80048550a6c7b23301400522f683865d64b142a4a1ba9b606f\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348442,
+      "path": "data/train/p3a/oproofs-s00002-r00006704-n000004-0000-fbb40b7c1c9f0664.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "fbb40b7c1c9f0664239a8abad0069c7c3e4e1734c04bdd11d3bfd0fb476088bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006708-n000004.json b/manifests/batches/oproofs/s00002-r00006708-n000004.json
index cdc1ebf2d6a7187dd6a379977fd1d101d03eba41..2c1b6f7f6fa5be7db3a9610cebb698ad55a337b6 100644
--- a/manifests/batches/oproofs/s00002-r00006708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006708-n000004",
   "batch_fingerprint": "71d813835c343fc00ddf6669c09245a951d259380635c5c3c3483d428805b5b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006708-n000004-0000-98fb9e9a149177e9.parquet",
-      "sha256": "98fb9e9a149177e90413b5ea0f71752550c5a4948c62a5de2c6ca7118a8f34b2",
-      "bytes": 581182,
-      "rows": 22,
-      "revision": "e861b3bf6ab930bd50c78a7d0c48cc2ab20e8298"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006708-n000004-0000-2db030082eceec7e.parquet",
-      "sha256": "2db030082eceec7e431d7300f192e10eeaa05f9781ed08b958c0a4a2c708eadd",
-      "bytes": 159170,
-      "rows": 5,
-      "revision": "e861b3bf6ab930bd50c78a7d0c48cc2ab20e8298"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6709",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006709.lean\",\"5b6ecb8ae3460a18414bd30f0b1f68eeb951392ba19e20e7876ca138216d6890\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006710.lean\",\"13deced005f5d1b9875280375f9737adf469d75e54d5350180657c7ecd3b1c15\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006711.lean\",\"a0bc81340fa141455445a9a167f360762e170ecfe20c811a8a43b4e08f71413c\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 581182,
+      "path": "data/train/pbb/oproofs-s00002-r00006708-n000004-0000-98fb9e9a149177e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "98fb9e9a149177e90413b5ea0f71752550c5a4948c62a5de2c6ca7118a8f34b2"
+    },
+    {
+      "bytes": 159170,
+      "path": "data/dev/pbb/oproofs-s00002-r00006708-n000004-0000-2db030082eceec7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2db030082eceec7e431d7300f192e10eeaa05f9781ed08b958c0a4a2c708eadd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006712-n000004.json b/manifests/batches/oproofs/s00002-r00006712-n000004.json
index 59f46794c7021de40d6108b011fed5114883fd9b..cb863a896d5de9edc99cacbabddb644b7ec9af7f 100644
--- a/manifests/batches/oproofs/s00002-r00006712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006712-n000004",
   "batch_fingerprint": "b07372a7ed2832b32dbe480c0a7b014ab83d5e817c7623b6e2a01f980db2ec6c",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6712",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6713",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6714",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6715"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006712.lean\",\"9f5d95c9d9a1f2da87499c27fef52e66955b080967e1c400995be0246cb7042b\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006713.lean\",\"58167a2aafdc92756ce311363cdc8743d3896d3dcd908be9323d26d6cc889f1a\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006714.lean\",\"ac78b7c21b8d3c46a934ca24d3bdea2e71516e2a9d1b2f0dc3e3fbe4ceb131d0\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006715.lean\",\"32bd94cfdaecc4155f6dd2c43ab1c3038a0a5f355fbe6b8d5f78af2e531e2e6c\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006712-n000004-0000-f0d5827385750357.parquet",
-      "sha256": "f0d5827385750357d1eacdf9f2efe8e5d049b7a0635144328f051dcc5ec0b685",
       "bytes": 580484,
+      "path": "data/train/p87/oproofs-s00002-r00006712-n000004-0000-f0d5827385750357.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "e861b3bf6ab930bd50c78a7d0c48cc2ab20e8298"
+      "sha256": "f0d5827385750357d1eacdf9f2efe8e5d049b7a0635144328f051dcc5ec0b685"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006712-n000004-0001-75d11d4c6f0492bb.parquet",
-      "sha256": "75d11d4c6f0492bb476fd573cc6120d0ce291d1631900f417162918d04407b39",
       "bytes": 1686979,
+      "path": "data/train/p87/oproofs-s00002-r00006712-n000004-0001-75d11d4c6f0492bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "e861b3bf6ab930bd50c78a7d0c48cc2ab20e8298"
+      "sha256": "75d11d4c6f0492bb476fd573cc6120d0ce291d1631900f417162918d04407b39"
     },
     {
-      "path": "data/train/oproofs-s00002-r00006712-n000004-0002-9d2793b266b45def.parquet",
-      "sha256": "9d2793b266b45defa08dd2c46924429b159c1801b807e2c090435e3a87640ee0",
       "bytes": 387295,
+      "path": "data/train/p87/oproofs-s00002-r00006712-n000004-0002-9d2793b266b45def.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "e861b3bf6ab930bd50c78a7d0c48cc2ab20e8298"
+      "sha256": "9d2793b266b45defa08dd2c46924429b159c1801b807e2c090435e3a87640ee0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6712",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6713",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6714",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6715"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006712.lean\",\"9f5d95c9d9a1f2da87499c27fef52e66955b080967e1c400995be0246cb7042b\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006713.lean\",\"58167a2aafdc92756ce311363cdc8743d3896d3dcd908be9323d26d6cc889f1a\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006714.lean\",\"ac78b7c21b8d3c46a934ca24d3bdea2e71516e2a9d1b2f0dc3e3fbe4ceb131d0\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006715.lean\",\"32bd94cfdaecc4155f6dd2c43ab1c3038a0a5f355fbe6b8d5f78af2e531e2e6c\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006716-n000004.json b/manifests/batches/oproofs/s00002-r00006716-n000004.json
index 300096ff5db5b8e56781792da3a10197e10221ab..648fc2eb1a4d3f18dc440f9764a1e6191bc52687 100644
--- a/manifests/batches/oproofs/s00002-r00006716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006716-n000004",
   "batch_fingerprint": "56d2d5be13286769e1e185dc018a065db655a43f1ac1911469f2254790429cb9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006716-n000004-0000-34a89952e52a0ec7.parquet",
-      "sha256": "34a89952e52a0ec752d79d91134952e1b07c54ea814d703ec6cb4d28203e6ea3",
-      "bytes": 637762,
-      "rows": 35,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006717.lean\",\"ce79edc15f8239f426929194c8d72d20a3fee8b97d81b737804c320f5cf0b9f6\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006718.lean\",\"14a61ed95972a9449a8880aff376497d786aa95db2ba68c036503ef83de92f0a\",0,\"RealSquareSum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006719.lean\",\"d7e74a28e3edeb7ef86220362b10de54325f3624861c666e3ea5da08dcaccbd2\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 637762,
+      "path": "data/train/p7a/oproofs-s00002-r00006716-n000004-0000-34a89952e52a0ec7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "34a89952e52a0ec752d79d91134952e1b07c54ea814d703ec6cb4d28203e6ea3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006720-n000004.json b/manifests/batches/oproofs/s00002-r00006720-n000004.json
index fd18b45af11243cef405ce76f4a0882f57db424d..e5e2b158dba7e83e4160699bbd9e25d0514beca9 100644
--- a/manifests/batches/oproofs/s00002-r00006720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006720-n000004",
   "batch_fingerprint": "bfa28835e95a0d89b770ee40dbec97af8e1127738a14fe8108e4025cd19f7d51",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006720-n000004-0000-0f78887174a0f2fb.parquet",
-      "sha256": "0f78887174a0f2fb4708ced84741bb33c3977c7b6e47b6b67e5324efda534caa",
-      "bytes": 746758,
-      "rows": 20,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006721.lean\",\"975d5d9c9975719959161ba32e2e90f790e56b0ca803f3908da7ad62f3ddf9ea\",0,\"algebraic_364495\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006722.lean\",\"8ac7157aae4d39f493ed39fc931d5a004404953bd3a286e508a5cbf8c657f5cc\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006723.lean\",\"1765398a2140111e3ffb57da8256c9bc4ea54940ce4f292b13f883fdeadbc48f\",0,\"sqrt_i\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 746758,
+      "path": "data/train/pa1/oproofs-s00002-r00006720-n000004-0000-0f78887174a0f2fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0f78887174a0f2fb4708ced84741bb33c3977c7b6e47b6b67e5324efda534caa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006724-n000004.json b/manifests/batches/oproofs/s00002-r00006724-n000004.json
index 9aeae5ba927afbc93926ad8ce3b2f63c302461ce..10e597448724d82ce408f91c55844961eead7aa0 100644
--- a/manifests/batches/oproofs/s00002-r00006724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006724-n000004",
   "batch_fingerprint": "4aafcd66ce2fc641b7a98daa0e7c3161e5e9dee0bb43464fc3b9282c92ca55a4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006724-n000004-0000-84c0ea001731fac2.parquet",
-      "sha256": "84c0ea001731fac28a4f992b8b834e2edb3ef7ec22d7178d157f412ae780082d",
-      "bytes": 1121858,
-      "rows": 13,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006724-n000004-0001-6eddc4832cc23bfe.parquet",
-      "sha256": "6eddc4832cc23bfe7d79e83633b0c114870087cdb54437c6d341847a6c916bcf",
-      "bytes": 449993,
-      "rows": 3,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006725.lean\",\"9ff073b33f4524e540b73b407a586067c7e1238c4915017ac05274581373dc5c\",0,\"algebra_435908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006726.lean\",\"2c4c68b24ffd2dcae8a24c6bcd371f1974ccaed799e278879d3f6f8a44eedcc9\",0,\"algebra_456739\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006727.lean\",\"b8cde87114f15716539364bc72cf442b4bafbbe15d97603421deea7961396474\",0,\"algebra_486911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1121858,
+      "path": "data/train/pba/oproofs-s00002-r00006724-n000004-0000-84c0ea001731fac2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "84c0ea001731fac28a4f992b8b834e2edb3ef7ec22d7178d157f412ae780082d"
+    },
+    {
+      "bytes": 449993,
+      "path": "data/train/pba/oproofs-s00002-r00006724-n000004-0001-6eddc4832cc23bfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6eddc4832cc23bfe7d79e83633b0c114870087cdb54437c6d341847a6c916bcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006728-n000004.json b/manifests/batches/oproofs/s00002-r00006728-n000004.json
index 9c2734f15449dc956cc0a5a17a0314d320ae67ed..283bb53eef6cf2d81c4630c66ca913a946a93851 100644
--- a/manifests/batches/oproofs/s00002-r00006728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006728-n000004",
   "batch_fingerprint": "cb9d286f27e6cc7eb2c1c856389e114b7f72ce5ca113bbb1f5fadbeacedbff08",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006728-n000004-0000-a47045ac701d1368.parquet",
-      "sha256": "a47045ac701d136853cc5cff6438726ae5abf5b0de71e12d40d575906c14278a",
-      "bytes": 399500,
-      "rows": 14,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006729.lean\",\"670b9f4df6bfaec3f420ab9aa64058ab80a9ac51dc480ae7c3a5b57242e5ac14\",0,\"algebra_486548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006730.lean\",\"9375609b7241a7ad4fd80aba357252a0775d3efcd91e752f3b7f72ee68dc0290\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006731.lean\",\"c68e7c500ac0f2853b47c99f43ec9e36f39e26ff5a365ce436f730076419378c\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399500,
+      "path": "data/train/pbc/oproofs-s00002-r00006728-n000004-0000-a47045ac701d1368.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a47045ac701d136853cc5cff6438726ae5abf5b0de71e12d40d575906c14278a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006732-n000004.json b/manifests/batches/oproofs/s00002-r00006732-n000004.json
index 868bc080ebe4953c1a63f569cc778d15557d70e7..9fcbd17f5ba56ba196832d1390cc36f59f3ca1d2 100644
--- a/manifests/batches/oproofs/s00002-r00006732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006732-n000004",
   "batch_fingerprint": "11d6c3793be4f674849f07423bbc718821a20e2cc57f2ed775e8e3652021bc32",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006732-n000004-0000-38decbc17e2cef8b.parquet",
-      "sha256": "38decbc17e2cef8b295effdf99bf3c8305f24899eb5070410d0efc918ed1ef3b",
-      "bytes": 332414,
-      "rows": 9,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006732-n000004-0000-ddbf26f2402e9f78.parquet",
-      "sha256": "ddbf26f2402e9f78115e942b9c75104d8aade01c4c78cb03aa401dc06c57ee73",
-      "bytes": 517676,
-      "rows": 16,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6733",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006733.lean\",\"0233f5f252b9a6ed6bfc90f1a32d256af91775b7c7e973a94cccd75f725f47e6\",0,\"prove_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006734.lean\",\"4bf1dce13e44dc15425c4a1b7f607dc8a5788c0027fcfa41e35633445096348f\",0,\"algebra_368807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006735.lean\",\"761a84ac5cdcd26b2ab069d923b484e31050c48d085b93799bf88d66df1aa465\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332414,
+      "path": "data/train/p7a/oproofs-s00002-r00006732-n000004-0000-38decbc17e2cef8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "38decbc17e2cef8b295effdf99bf3c8305f24899eb5070410d0efc918ed1ef3b"
+    },
+    {
+      "bytes": 517676,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00006732-n000004-0000-ddbf26f2402e9f78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ddbf26f2402e9f78115e942b9c75104d8aade01c4c78cb03aa401dc06c57ee73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006736-n000004.json b/manifests/batches/oproofs/s00002-r00006736-n000004.json
index 92ff73f635601381a406c291685eb1cfa5e9bdba..904d77eade9296303252f95940c53e26ac37e9cb 100644
--- a/manifests/batches/oproofs/s00002-r00006736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006736-n000004",
   "batch_fingerprint": "47365bd5bd16b50676d8f40f90c68834e96953032233655ae888da071d705684",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006736-n000004-0000-fc01e34c457977e3.parquet",
-      "sha256": "fc01e34c457977e3cc3a2f1feeb3b89ebd44dc9077c3d879010a25b8ee7e6d52",
-      "bytes": 534000,
-      "rows": 17,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006737.lean\",\"9fe58811023ffdde41a9d597d37e067394bdfb477b9662869ce272d988093034\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006738.lean\",\"f04adedfec7afd04609d943adbcac7f29d19db61341527476bf63e6b791794cb\",0,\"lean_workbook_46161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006739.lean\",\"a9a9cd5e2400910a09c64306ae37fff0a47b454b625a49ad061ac2d376bc28b5\",0,\"lean_workbook_plus_38034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 534000,
+      "path": "data/train/pdd/oproofs-s00002-r00006736-n000004-0000-fc01e34c457977e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fc01e34c457977e3cc3a2f1feeb3b89ebd44dc9077c3d879010a25b8ee7e6d52"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006740-n000004.json b/manifests/batches/oproofs/s00002-r00006740-n000004.json
index adc6277fc01334e03b9212a6fad2725e9c53dfcc..e3f47b7d18219e3a1a0a6fa50aaebb61c7088f87 100644
--- a/manifests/batches/oproofs/s00002-r00006740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006740-n000004",
   "batch_fingerprint": "5f040ef053168e10bbfefb196e8606aaccca8c8d82237fcaadbe2afb58ed0ea1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006740-n000004-0000-31faeb649a690218.parquet",
-      "sha256": "31faeb649a690218eac4912c633fc3a7e8667609709bbabc26e9a50398e7256e",
-      "bytes": 145835,
-      "rows": 15,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006740-n000004-0000-12961de771b2e2b1.parquet",
-      "sha256": "12961de771b2e2b1b40db1d6e32cc9d243dd15f643d8738b650a24179cad1801",
-      "bytes": 173990,
-      "rows": 3,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006741.lean\",\"4afcd6bfb5ffc9985fe7d41bebbd027b7449d30642cf2eff9235ab97e81be77c\",0,\"lean_workbook_2490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006742.lean\",\"469368afbf28f31ccef85c4ce77f935a37d021a3b79583307ca74be3924187f2\",0,\"lean_workbook_plus_6376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006743.lean\",\"b78ff6a99d8f2f433459ecd2b1195e6200d434fa323e74dd0a43e144ba926ca4\",0,\"lean_workbook_plus_5007\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145835,
+      "path": "data/train/p2e/oproofs-s00002-r00006740-n000004-0000-31faeb649a690218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "31faeb649a690218eac4912c633fc3a7e8667609709bbabc26e9a50398e7256e"
+    },
+    {
+      "bytes": 173990,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00006740-n000004-0000-12961de771b2e2b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "12961de771b2e2b1b40db1d6e32cc9d243dd15f643d8738b650a24179cad1801"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006744-n000004.json b/manifests/batches/oproofs/s00002-r00006744-n000004.json
index af232bc0e3d31f49594e86361a9d5651b740b48c..11dd98b2691025f49ef90210bcbc307ede58655c 100644
--- a/manifests/batches/oproofs/s00002-r00006744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006744-n000004",
   "batch_fingerprint": "7811bab10bfb634ccb8cbe55a6d63053946ef30668de815a2ac3ac4a94182285",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006744-n000004-0000-3dca558b596e26c6.parquet",
-      "sha256": "3dca558b596e26c6f086bf8b6be043da1f812a0ca2e406fa42bd74cbdcf62b05",
-      "bytes": 234725,
-      "rows": 17,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6745",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006745.lean\",\"194f2f8534fddb73af6d23a2cdef31799444df2e926d9315cde2bcb56063a4d7\",0,\"lean_workbook_29292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006746.lean\",\"c1e566b1574791cbb76634f51b5d0d35aea8bbb641a7fd11d03d485caa3b10e6\",0,\"lean_workbook_plus_42237\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006747.lean\",\"74ea3cdca107e2b20bf34ce659de26a7973ff06197513972ac4872798d78588c\",0,\"lean_workbook_11247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234725,
+      "path": "data/train/p6a/oproofs-s00002-r00006744-n000004-0000-3dca558b596e26c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3dca558b596e26c6f086bf8b6be043da1f812a0ca2e406fa42bd74cbdcf62b05"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006748-n000004.json b/manifests/batches/oproofs/s00002-r00006748-n000004.json
index b9e7dad32c33c33c4a9eb97b17cbf9f91dff95d0..0d8dc6f8dcb81ed175f191194e9c7b999a3e03db 100644
--- a/manifests/batches/oproofs/s00002-r00006748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006748-n000004",
   "batch_fingerprint": "39872efe9463c49bfcdd2aa9002469bd2097ed527a3fea54985a8b16f55ab928",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6748",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6749",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6750",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6751"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006748.lean\",\"5d7944f710df57acd7c6afaa33f89287939054b10f7720fd9a50fc0008fb0bdd\",0,\"lean_workbook_plus_25766\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006749.lean\",\"3b5b2ccb1fce118865c4e1b4c411ca43d277ae3156535f546ffcaa430f87b07b\",0,\"lean_workbook_plus_20816\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006750.lean\",\"b342163ccf9075b7bd104d383bf695c3e78297bae55bfd4035c585eb3bdff859\",0,\"lean_workbook_plus_31625\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006751.lean\",\"24c8431bbce505cd67934f3fa7a98d907f95ef33a9ca113ba5aa5704fa159cc1\",0,\"lean_workbook_plus_32123\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006748-n000004-0000-9129603d4109d121.parquet",
-      "sha256": "9129603d4109d121c214f9b24dff07bbfc0a64a73ca3665f51aee9ad5e0167a6",
       "bytes": 117466,
+      "path": "data/train/p10/oproofs-s00002-r00006748-n000004-0000-9129603d4109d121.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "9129603d4109d121c214f9b24dff07bbfc0a64a73ca3665f51aee9ad5e0167a6"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006748-n000004-0000-a9ae0a7516331459.parquet",
-      "sha256": "a9ae0a7516331459babe2d11563cad295c7fdb1b4750357f306599001536a182",
       "bytes": 72971,
+      "path": "data/dev/p10/oproofs-s00002-r00006748-n000004-0000-a9ae0a7516331459.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "a9ae0a7516331459babe2d11563cad295c7fdb1b4750357f306599001536a182"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006748-n000004-0000-5828240f8321bd65.parquet",
-      "sha256": "5828240f8321bd658545ea2a89ed9c1b51a1509acc1f1bc191ffc1f9676df73a",
       "bytes": 148630,
+      "path": "data/internal_test/p10/oproofs-s00002-r00006748-n000004-0000-5828240f8321bd65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
+      "sha256": "5828240f8321bd658545ea2a89ed9c1b51a1509acc1f1bc191ffc1f9676df73a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6748",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6749",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6750",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6751"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006748.lean\",\"5d7944f710df57acd7c6afaa33f89287939054b10f7720fd9a50fc0008fb0bdd\",0,\"lean_workbook_plus_25766\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006749.lean\",\"3b5b2ccb1fce118865c4e1b4c411ca43d277ae3156535f546ffcaa430f87b07b\",0,\"lean_workbook_plus_20816\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006750.lean\",\"b342163ccf9075b7bd104d383bf695c3e78297bae55bfd4035c585eb3bdff859\",0,\"lean_workbook_plus_31625\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006751.lean\",\"24c8431bbce505cd67934f3fa7a98d907f95ef33a9ca113ba5aa5704fa159cc1\",0,\"lean_workbook_plus_32123\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006752-n000004.json b/manifests/batches/oproofs/s00002-r00006752-n000004.json
index 8e681bea0120818bb0475721c8777478f4baf688..85f718e37a2cc5313db3f2ed21cede2d28d25288 100644
--- a/manifests/batches/oproofs/s00002-r00006752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006752-n000004",
   "batch_fingerprint": "93a37ffc998e3785d2cc67b04ba3789bb8c9d60d0001faa21dfe5f23c7291b07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006752-n000004-0000-48a6ee85d413241c.parquet",
-      "sha256": "48a6ee85d413241ca6d9d9c38d0348429c85ae4908a8ec9ca26aa9c816ed6c33",
-      "bytes": 55636,
-      "rows": 4,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006752-n000004-0000-e6468f86a4ca2b09.parquet",
-      "sha256": "e6468f86a4ca2b094c1e76cd1526a67cdc62c0b69120ba6294d123167b88ad5d",
-      "bytes": 195665,
-      "rows": 19,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006753.lean\",\"8c2a5d105a2d9aca659713a381dea1708e1dc2ac7cbaec89cd823cad0f477bd9\",0,\"passing_percentage_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006754.lean\",\"b7e18efa3fa0cdffc26328021cdc885b2d18f046fc3685323a8a3efbdf67280c\",0,\"lean_workbook_plus_59946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006755.lean\",\"98a7c13e8a67117676f48f2d6c5615d15353fcfa333fcca72e3cb0473217c862\",0,\"lean_workbook_plus_15437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55636,
+      "path": "data/train/pbe/oproofs-s00002-r00006752-n000004-0000-48a6ee85d413241c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "48a6ee85d413241ca6d9d9c38d0348429c85ae4908a8ec9ca26aa9c816ed6c33"
+    },
+    {
+      "bytes": 195665,
+      "path": "data/internal_test/pbe/oproofs-s00002-r00006752-n000004-0000-e6468f86a4ca2b09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e6468f86a4ca2b094c1e76cd1526a67cdc62c0b69120ba6294d123167b88ad5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006756-n000004.json b/manifests/batches/oproofs/s00002-r00006756-n000004.json
index 68aac18c124537aebeda58ed038ca9156dc3cf5d..f4a0c02e69d6d0acc4f8b3e967d7403bfe847ae7 100644
--- a/manifests/batches/oproofs/s00002-r00006756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006756-n000004",
   "batch_fingerprint": "f8c99f98b6ea4cd97dc71996090e287b3cc04c5558f777129a0512de11b11445",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006756-n000004-0000-3c8618b22e7842d8.parquet",
-      "sha256": "3c8618b22e7842d81477a082930f8bbdf184647415d2663ad56bd68a9a23a10f",
-      "bytes": 393523,
-      "rows": 27,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006757.lean\",\"c418b4652df6e67c9e3e58feecec0cc77e5a3e6bdd0a1fde1151c0989a3c6ed2\",0,\"lean_workbook_plus_30570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006758.lean\",\"d8a316e4a3baa9c9d82a3b49900c673c5c2ec296aff7251fb717a17bfe44f898\",0,\"lean_workbook_plus_35179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006759.lean\",\"f9b3d46c9def46f376ff9b8201d8c5eb67b198c9e6e8311af1372087c7799394\",0,\"lean_workbook_plus_82106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393523,
+      "path": "data/train/p37/oproofs-s00002-r00006756-n000004-0000-3c8618b22e7842d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3c8618b22e7842d81477a082930f8bbdf184647415d2663ad56bd68a9a23a10f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006760-n000004.json b/manifests/batches/oproofs/s00002-r00006760-n000004.json
index 37f57519c01b2af02e0f2a22b2eb521b45dc750a..ccaaedb471cb9d815bba2fae3f60a41bc4b8dd2a 100644
--- a/manifests/batches/oproofs/s00002-r00006760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006760-n000004",
   "batch_fingerprint": "e3693ba9f8b718e88122511d02c745637c40caca6c5f5c5003e2e45feb15c28f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006760-n000004-0000-c84dfe9571122554.parquet",
-      "sha256": "c84dfe9571122554bc384bf7f13dd209e799e9dcc061f0a1810d4c21f3258990",
-      "bytes": 195562,
-      "rows": 19,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006761.lean\",\"5971d9df3d584eaf73b14237da7b65d5fd99f50c816f0097ee2d57a2b00e5449\",0,\"lean_workbook_plus_79569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006762.lean\",\"76436fdd4764989aa17dee09fb3fd0b9620b61271ba2a19c3733c65fe3005c01\",0,\"lean_workbook_plus_21639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006763.lean\",\"e9d8e07194a9a591c73f330bfbd570e54a174450c0c6857ed9d52a3fa94c5374\",0,\"lean_workbook_plus_20833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195562,
+      "path": "data/train/p8f/oproofs-s00002-r00006760-n000004-0000-c84dfe9571122554.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c84dfe9571122554bc384bf7f13dd209e799e9dcc061f0a1810d4c21f3258990"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006764-n000004.json b/manifests/batches/oproofs/s00002-r00006764-n000004.json
index 9d6a360ca5eef365bf11f5115cc82f897690a78b..15da66cf781305fd0d92cc98c6c820e5d18433b9 100644
--- a/manifests/batches/oproofs/s00002-r00006764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006764-n000004",
   "batch_fingerprint": "9e2ef5650390c3780df9726f8d7bb386ba0bda56a0d715b78018e506071f2315",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006764-n000004-0000-040b2f7651a1df2a.parquet",
-      "sha256": "040b2f7651a1df2a7ac601cb1fc6646565110964ae4447dbdfe9addd9d0181f1",
-      "bytes": 610767,
-      "rows": 32,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006765.lean\",\"db52186694430e4efe651c25e1bb8edc0804200451d777d54d04cb9a76cfc950\",0,\"sets_intersection_complement_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006766.lean\",\"aaa42c37380aa677eaa21c2eccc4c818276d1707b9f05adb3b40caaf56930269\",0,\"lean_workbook_plus_24304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006767.lean\",\"aa9a8a5f55510b7f1cd2f2a96f505412aac0c76f8074901ef2acb2c8d39e2397\",0,\"lean_workbook_plus_69440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 610767,
+      "path": "data/train/p11/oproofs-s00002-r00006764-n000004-0000-040b2f7651a1df2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "040b2f7651a1df2a7ac601cb1fc6646565110964ae4447dbdfe9addd9d0181f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006768-n000004.json b/manifests/batches/oproofs/s00002-r00006768-n000004.json
index ef10a971ef5b143625e592efd635b60ce815fe84..2007fc64d7b8e6858f0c8b41f05efe8a659d0566 100644
--- a/manifests/batches/oproofs/s00002-r00006768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006768-n000004",
   "batch_fingerprint": "c5e9bc71f4bd12ee1a64b0bd4cfc89f2d458f691abf91d0c04ab157849faf115",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006768-n000004-0000-cb0b5a36b648864b.parquet",
-      "sha256": "cb0b5a36b648864bb4f922d3590d6ec0df07f97ef3e17edcd4f39523478e2629",
-      "bytes": 680056,
-      "rows": 15,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006769.lean\",\"2481aaebd9110546906c5eefbbd8bc663ccbdae38c2f7b7076bbd102bc0890d4\",0,\"lean_workbook_plus_69967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006770.lean\",\"5baf13160be5044fba1f00618b0d4c9622848075044fc626fce097e05159b14f\",0,\"lean_workbook_plus_38390\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006771.lean\",\"2654365325477c711fbf345c08e848c43fe019fbd79674c74cc4375ce65fa7f7\",0,\"lean_workbook_plus_10851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 680056,
+      "path": "data/train/pdd/oproofs-s00002-r00006768-n000004-0000-cb0b5a36b648864b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "cb0b5a36b648864bb4f922d3590d6ec0df07f97ef3e17edcd4f39523478e2629"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006772-n000004.json b/manifests/batches/oproofs/s00002-r00006772-n000004.json
index efd9d4d675d8e3b6d7588775f6f91782c66661d4..a94c6d028b7d594af938de2b28e7695b134467b5 100644
--- a/manifests/batches/oproofs/s00002-r00006772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006772-n000004",
   "batch_fingerprint": "0106d1baf22da43406ea1395fc3faefb6c0f471a86defbcfad2450d1e9432985",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006772-n000004-0000-4d09a843a4d80c35.parquet",
-      "sha256": "4d09a843a4d80c350a1c226076d15a47d6003864b394ef9d4e30bd281ea06922",
-      "bytes": 137038,
-      "rows": 15,
-      "revision": "46f149c8b00748992b9673749591fe0a1a8623e0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006773.lean\",\"eee52117ab1c511ef0a00dd587f6ca9101a5ce0001262ec58623c63fa158b76b\",0,\"lean_workbook_38267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006774.lean\",\"671a59d0f19f96159a0daf3b93927bcd87fbd8df56498f8d3400078b11ff7e74\",0,\"lean_workbook_plus_14588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006775.lean\",\"503bc474a04f07e5f9eab21de6ae51edcbd7ce719744e15487c66349ede1ca2d\",0,\"lean_workbook_plus_22753\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137038,
+      "path": "data/train/pc7/oproofs-s00002-r00006772-n000004-0000-4d09a843a4d80c35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4d09a843a4d80c350a1c226076d15a47d6003864b394ef9d4e30bd281ea06922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006776-n000004.json b/manifests/batches/oproofs/s00002-r00006776-n000004.json
index 2f4ad40a0c130c56203e0d53e92f978eeb098b73..42e106f6d8a349fc6750e1229c9434aefb4c2240 100644
--- a/manifests/batches/oproofs/s00002-r00006776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006776-n000004",
   "batch_fingerprint": "d3dc2b0186cf40636a93cea03df700338e5a894e4773b11dd747151da4e2bb49",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006776-n000004-0000-4806ff150506ff60.parquet",
-      "sha256": "4806ff150506ff60f07d3a7af2fd2285c268741eec1e3a7b84a611a8cd3e3163",
-      "bytes": 250945,
-      "rows": 13,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006777.lean\",\"e60fe2138c4fc29e024e4e582acf15b78d5fd07f6c4bac51acc84ea0d63d99f4\",0,\"lean_workbook_plus_53996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006778.lean\",\"96484fc6c43f234d62f4fcb8cde040c656a5d9a205100aaa66dd0711d9bb5f62\",0,\"negation_statement_equivalent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006779.lean\",\"f832fe4f7eafdfe47082f0b05f729f716ed27468080964deeb1287abdadc3976\",0,\"lean_workbook_plus_23494\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250945,
+      "path": "data/train/p2c/oproofs-s00002-r00006776-n000004-0000-4806ff150506ff60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4806ff150506ff60f07d3a7af2fd2285c268741eec1e3a7b84a611a8cd3e3163"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006780-n000004.json b/manifests/batches/oproofs/s00002-r00006780-n000004.json
index e60aac236cbef3ce899a651a30c3ea3f7da3115c..5f85da6774af1cc0b2859151b6dd210dbf60c601 100644
--- a/manifests/batches/oproofs/s00002-r00006780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006780-n000004",
   "batch_fingerprint": "981c5c4a0a5cbea87c432d7b9982e3b75e0a0ae21ac4882c033b4d443ece5a34",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006780-n000004-0000-5c796c5b66751845.parquet",
-      "sha256": "5c796c5b667518457186332390d14b8c4e1995f26daef864cbcc309f3f3719b4",
-      "bytes": 265139,
-      "rows": 14,
-      "revision": "e3a71299c03f19806921cf0182f71117ddb7b52e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006781.lean\",\"0aa7bee92467db277036bb3dc63aca2017184659d1d882e506efc3e0bee880b0\",0,\"lean_workbook_plus_33461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006782.lean\",\"1398e00eb989d4861e65f605198fd849e74d20117a70ae3aa2b7ceae935b6257\",0,\"lean_workbook_plus_46824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006783.lean\",\"7b071b8585cfdf10947159410d33cf46e97ff1e6c777352e5119490bb6e8c560\",0,\"lean_workbook_plus_74151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265139,
+      "path": "data/train/pea/oproofs-s00002-r00006780-n000004-0000-5c796c5b66751845.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5c796c5b667518457186332390d14b8c4e1995f26daef864cbcc309f3f3719b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006784-n000004.json b/manifests/batches/oproofs/s00002-r00006784-n000004.json
index b9f32ed09b8d161e6ca15da79cf2200c32a68c48..d8fd3b1bad7e8475baeb4fccad5b79eff9a5807d 100644
--- a/manifests/batches/oproofs/s00002-r00006784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006784-n000004",
   "batch_fingerprint": "7186d401155cae00ce7cfb58acb2631e67cd29d88808ed6fb503dbc7e7434bd4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006784-n000004-0000-30827e0f798f389b.parquet",
-      "sha256": "30827e0f798f389ba2c96afa17fe430cf428d666e4c15a125e9b18448ca2e8ce",
-      "bytes": 252390,
-      "rows": 19,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006785.lean\",\"296b4e68e1e6bb3f224860d72966609f9fcc1d9faf9908683be6cf5d01f868ab\",0,\"lean_workbook_43504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006786.lean\",\"939422edee253351adab485e4ac98535b7a9beb0152044b0a8d04ca39aefe460\",0,\"lean_workbook_plus_52123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006787.lean\",\"5bd35c047879457d72912baf9e1d742d1caaadd3900bf92a7c33f45ef5cd1a78\",0,\"lean_workbook_plus_44113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252390,
+      "path": "data/train/pca/oproofs-s00002-r00006784-n000004-0000-30827e0f798f389b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "30827e0f798f389ba2c96afa17fe430cf428d666e4c15a125e9b18448ca2e8ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006788-n000004.json b/manifests/batches/oproofs/s00002-r00006788-n000004.json
index 47d5f1ac00ac53e14dc905a5b8b42329389d328a..2a919202bdfdfe374b7da8c7c946d9113110d06a 100644
--- a/manifests/batches/oproofs/s00002-r00006788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006788-n000004",
   "batch_fingerprint": "760392ceab77782e1613d185677a66f5c6b9ab18c3c40d3fc8887e72e582b64a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006788-n000004-0000-e45aa3235535ca1c.parquet",
-      "sha256": "e45aa3235535ca1c0e00f6bebcde5748eb7fa9c199eaf8a968566069439fe3ff",
-      "bytes": 156949,
-      "rows": 15,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006789.lean\",\"021469a97ec7035af15676573cd201a03f3f0864d1f7774d58c04213a11b8b50\",0,\"lean_workbook_plus_54525\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006790.lean\",\"38fec337f8d54bf11d99f4a0c847e11fcb8108343d2251ce967c9891f4d1990a\",0,\"lean_workbook_plus_60296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006791.lean\",\"7d2fb867b2cdcbf6bc7a736235998304bd438005c2779f17c1d206b23cfa27cc\",0,\"lean_workbook_plus_39459\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156949,
+      "path": "data/train/p45/oproofs-s00002-r00006788-n000004-0000-e45aa3235535ca1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e45aa3235535ca1c0e00f6bebcde5748eb7fa9c199eaf8a968566069439fe3ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006792-n000004.json b/manifests/batches/oproofs/s00002-r00006792-n000004.json
index a17bc7be1cbc2b685ce8d836747184f913f8a2a7..a234afa8f4062615e79a4ab290f154961e65f1f6 100644
--- a/manifests/batches/oproofs/s00002-r00006792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006792-n000004",
   "batch_fingerprint": "481d9908e8a575452c9c967f961f04255c0d5dfee0b60c686f4dce6cdd5474c7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006792-n000004-0000-bf5cc6c875d1bd1c.parquet",
-      "sha256": "bf5cc6c875d1bd1c4cb6c5fc1c5d1e3b3877be30a4c5a68656b5fea8009d6b4e",
-      "bytes": 854584,
-      "rows": 39,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006793.lean\",\"ab213d80fdd3581e1032497f8dd6c6e33808cb7ae3609c6a394c82d84bc043a8\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006794.lean\",\"bd537b6cb5ef069ade498b8b0c6914138a5847a1aa9dd9cb041761429e2c2747\",0,\"RealSquareSum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006795.lean\",\"e166d8594c2ca75f27c881c43a100512016f284b5b81329aad0729e37350c3e0\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 854584,
+      "path": "data/train/p04/oproofs-s00002-r00006792-n000004-0000-bf5cc6c875d1bd1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 39,
+      "sha256": "bf5cc6c875d1bd1c4cb6c5fc1c5d1e3b3877be30a4c5a68656b5fea8009d6b4e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006796-n000004.json b/manifests/batches/oproofs/s00002-r00006796-n000004.json
index 62243849afba74b123007e10964c1f45a56f72b0..211d983e45160531ce267332d080885a89dab2a6 100644
--- a/manifests/batches/oproofs/s00002-r00006796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006796-n000004",
   "batch_fingerprint": "683d82555ad1a68906e0b259f1ca8f0c8588c42b0c6908f984592fd87c5028bf",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006796-n000004-0000-4ad42f8f3ca1a595.parquet",
-      "sha256": "4ad42f8f3ca1a5958dcf327b1f34e81c9d39a43bc87105143cf8476964a0ee69",
-      "bytes": 211305,
-      "rows": 15,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6797",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6798",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006797.lean\",\"7fa2e9cc643b3e05d19f69f1b87d24e2bc68b903942298d21a2bf78ec4446458\",0,\"sqrt_i\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006798.lean\",\"bfb96ead49ceca2a70c17d78e0df7f4af9dd31bcc684f0117f69616ef5c1c57d\",0,\"algebra_456739\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006799.lean\",\"ae0726a7f6fdfad52e2a37fa304232f29e0f87ab2c5f0e99dbf07a8f83768147\",0,\"integer_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211305,
+      "path": "data/train/p1b/oproofs-s00002-r00006796-n000004-0000-4ad42f8f3ca1a595.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4ad42f8f3ca1a5958dcf327b1f34e81c9d39a43bc87105143cf8476964a0ee69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006800-n000004.json b/manifests/batches/oproofs/s00002-r00006800-n000004.json
index 7155359b3f6fc98d6038fa17b8de81b404608fce..67e57ee990ff6a80e4ef9ab269e643f09d7a514a 100644
--- a/manifests/batches/oproofs/s00002-r00006800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006800-n000004",
   "batch_fingerprint": "50b6ca0f18d638b0f1de015f3ef121628d46c613d49512c9a252c650df1850c2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006800-n000004-0000-a0bef96f0d61516a.parquet",
-      "sha256": "a0bef96f0d61516a7127e685880ecc9e053d5e9b733d1da2ce85f9d3a1405c9b",
-      "bytes": 333420,
-      "rows": 12,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006800-n000004-0000-7ddb3fe1a0d12f74.parquet",
-      "sha256": "7ddb3fe1a0d12f741e440c3fa040b64b3098c030cfe3ae0c7c8a746b0a05b360",
-      "bytes": 297414,
-      "rows": 9,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006801.lean\",\"d4c6d509d7f60cbcc44dedfdfebafdeaaaf987aa648b508743f8de2dd2ffc215\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006802.lean\",\"8426bd9dc63d04d4e48216bcc7ba37e3857fa39825e624486c2add62ae4de0cc\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006803.lean\",\"baeb6bea1b18186933bb1b4e7e835bdf89f4575d9ef0314da1615ebe7dee7855\",0,\"algebra_486911\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333420,
+      "path": "data/train/p8e/oproofs-s00002-r00006800-n000004-0000-a0bef96f0d61516a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a0bef96f0d61516a7127e685880ecc9e053d5e9b733d1da2ce85f9d3a1405c9b"
+    },
+    {
+      "bytes": 297414,
+      "path": "data/internal_test/p8e/oproofs-s00002-r00006800-n000004-0000-7ddb3fe1a0d12f74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "7ddb3fe1a0d12f741e440c3fa040b64b3098c030cfe3ae0c7c8a746b0a05b360"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006804-n000004.json b/manifests/batches/oproofs/s00002-r00006804-n000004.json
index 9f54052ab1808ae4ec6594b096c6edb6a9df399a..0510c41825d6ef94c3fe532c27973fb87d398178 100644
--- a/manifests/batches/oproofs/s00002-r00006804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006804-n000004",
   "batch_fingerprint": "29cef9236976bc3d0f941d9f971129a3eb1814d61420d94838c74ea0a5747a93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006804-n000004-0000-36404fa82c47d026.parquet",
-      "sha256": "36404fa82c47d02638955a2fabf57c88e9e0f3d4c04f85a1379061c9fe3d819a",
-      "bytes": 891663,
-      "rows": 14,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6805",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006805.lean\",\"b809df0e46140ef59032e3762679d7f1db855e45deee19d46f836144e987cf00\",0,\"algebra_435908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006806.lean\",\"1b2d639ed00b633c2575dbc04e08082c94033de96776ac08ae7a87be519ae21f\",0,\"algebraic_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006807.lean\",\"4c55085220d2cd9eacc3429a9ea9bf151e7413ca1fc290831f46fe653aa1bc6c\",0,\"algebra_368807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 891663,
+      "path": "data/train/pc4/oproofs-s00002-r00006804-n000004-0000-36404fa82c47d026.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "36404fa82c47d02638955a2fabf57c88e9e0f3d4c04f85a1379061c9fe3d819a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006808-n000004.json b/manifests/batches/oproofs/s00002-r00006808-n000004.json
index 0b285bae8ec5fcf1a0e3631ca60a3389dd4f6e07..4145feb0d35f1401a19e233203d03e1ed90db503 100644
--- a/manifests/batches/oproofs/s00002-r00006808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006808-n000004",
   "batch_fingerprint": "0ce770deb6cc450212c817ffd16fe67728196ed9befe8aeaabaa4a8398bbf205",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006808-n000004-0000-92cb6e988e913486.parquet",
-      "sha256": "92cb6e988e91348639eb94c05172b88b1e8dff21410b5cacbe595ab1dfc26267",
-      "bytes": 309018,
-      "rows": 12,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006808-n000004-0000-b9ec10e84803206d.parquet",
-      "sha256": "b9ec10e84803206de56ca34f37b24fff575f86e6d4ba449e94957986316f33fb",
-      "bytes": 141708,
-      "rows": 8,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006809.lean\",\"07d80c14389a69e482bc000bb1e3e7d619aa98a0421111dc7da7f5b0576a65b5\",0,\"algebra_589543\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006810.lean\",\"54eba89c0ef0a32d66024f494b61d4c6efae4c021b788fa3836f49344653fcea\",0,\"lean_workbook_46161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006811.lean\",\"b7be61a71e29f3c87a3d49c20c54cddfb22cbec0b81ccb83299c9405bc88753e\",0,\"lean_workbook_plus_38034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309018,
+      "path": "data/train/p07/oproofs-s00002-r00006808-n000004-0000-92cb6e988e913486.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "92cb6e988e91348639eb94c05172b88b1e8dff21410b5cacbe595ab1dfc26267"
+    },
+    {
+      "bytes": 141708,
+      "path": "data/internal_test/p07/oproofs-s00002-r00006808-n000004-0000-b9ec10e84803206d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b9ec10e84803206de56ca34f37b24fff575f86e6d4ba449e94957986316f33fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006812-n000004.json b/manifests/batches/oproofs/s00002-r00006812-n000004.json
index 712f31cca3dae57356b77066d7f2c6895f35955c..6ce655df1900afd7fa2ca9400173f413068fc0a8 100644
--- a/manifests/batches/oproofs/s00002-r00006812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006812-n000004",
   "batch_fingerprint": "a1c5371f155d80442378e6fa8f30eba8398f6c3067244b1dc3cef2ac9e9af695",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006812-n000004-0000-53670fef5bccc083.parquet",
-      "sha256": "53670fef5bccc08373b296f5a445d8d57dc6e3db0506e5d5e3b21a6ff61f40ad",
-      "bytes": 349686,
-      "rows": 12,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006812-n000004-0000-5eb42819052a4a88.parquet",
-      "sha256": "5eb42819052a4a882f8f123b5f16a79eb4d78e3576333050921a52c4d0d1f193",
-      "bytes": 81707,
-      "rows": 5,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006813.lean\",\"4ac83e125baa87efd0b75beac591860bab5d3bb931eac3608eff7c9c2b86f06d\",0,\"dancers_braids_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006814.lean\",\"c20d3c523cc3c42b47d0d3605fd62946b3ae7818222911b0b66fdd94ca33e3c9\",0,\"prove_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006815.lean\",\"407caba11edc39b70f2de11b08fce0f202571026cf06b2015b4da1b0ec78675d\",0,\"lean_workbook_plus_6376\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349686,
+      "path": "data/train/p70/oproofs-s00002-r00006812-n000004-0000-53670fef5bccc083.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "53670fef5bccc08373b296f5a445d8d57dc6e3db0506e5d5e3b21a6ff61f40ad"
+    },
+    {
+      "bytes": 81707,
+      "path": "data/internal_test/p70/oproofs-s00002-r00006812-n000004-0000-5eb42819052a4a88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5eb42819052a4a882f8f123b5f16a79eb4d78e3576333050921a52c4d0d1f193"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006816-n000004.json b/manifests/batches/oproofs/s00002-r00006816-n000004.json
index 75aa61a08e53f0efee02d310962e72a7309790f5..144555c6c25634eb41cad874ce6069c124f63622 100644
--- a/manifests/batches/oproofs/s00002-r00006816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006816-n000004",
   "batch_fingerprint": "3454f98c2b529b41f85e2ccafad8969ce8ad7e1721bf090559cfb8ed76f50dd9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006816-n000004-0000-192b9bb0ea1d084f.parquet",
-      "sha256": "192b9bb0ea1d084f11353ad24c68aaac30b63a00b6b35ba91ce9793a429a4624",
-      "bytes": 281717,
-      "rows": 18,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006816-n000004-0000-7e250671838098ef.parquet",
-      "sha256": "7e250671838098ef46dca84cea50d54f7c4c9b7f881c4f6a8d1c05797be821d3",
-      "bytes": 188345,
-      "rows": 3,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6817",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006817.lean\",\"54881b4b0bb9cd8f4cd866c4ee455b8676eea22c82755798b75232507576f878\",0,\"lean_workbook_plus_48025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006818.lean\",\"c5182db9fb7f7c974b6e13668e6a2a9f62005907e8660bfc96f3a4d998767559\",0,\"lean_workbook_plus_5007\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006819.lean\",\"de9f9fdbc7082bdf400be7b9d6769cb2ff4d150985565aee45eb8919b1b997d1\",0,\"lean_workbook_29292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281717,
+      "path": "data/train/pcb/oproofs-s00002-r00006816-n000004-0000-192b9bb0ea1d084f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "192b9bb0ea1d084f11353ad24c68aaac30b63a00b6b35ba91ce9793a429a4624"
+    },
+    {
+      "bytes": 188345,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00006816-n000004-0000-7e250671838098ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7e250671838098ef46dca84cea50d54f7c4c9b7f881c4f6a8d1c05797be821d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006820-n000004.json b/manifests/batches/oproofs/s00002-r00006820-n000004.json
index a841cb0a043352dbae18c9e827a8a4c3e68c77f4..1fff15928a11e61a71b1e6ad7519bb7c86549335 100644
--- a/manifests/batches/oproofs/s00002-r00006820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006820-n000004",
   "batch_fingerprint": "736f6a53cd146a619ba074842fe0ad9bf73b21ea9b12f86af894fadd63e13d03",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6820",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6821",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6822",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6823"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006820.lean\",\"943c16ca87a95ec4d7b97e190fa6a2ea16b147eea6ec8e872e41375a6ef70930\",0,\"lean_workbook_11247\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006821.lean\",\"53ec4b198810b72fed40dfd9ff69675a20550986e7bc42f9efbee6e42100a84b\",0,\"lean_workbook_plus_25766\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006822.lean\",\"8ce4a8bf191c433a71dafa4cb99dca4686f5f57ed9c5c3cbd7b2afde86465997\",0,\"lean_workbook_43693\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006823.lean\",\"ca21abdbf975aad39274bc8853b3d7965ab12e0ceeff495ba88ff769c3224163\",0,\"lean_workbook_plus_32123\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00006820-n000004-0000-c4b2cba6343e4b7d.parquet",
-      "sha256": "c4b2cba6343e4b7dbc0bc06070c91427fd828121bd126fb3b113c18c49b2ec01",
       "bytes": 39837,
+      "path": "data/train/p62/oproofs-s00002-r00006820-n000004-0000-c4b2cba6343e4b7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
+      "sha256": "c4b2cba6343e4b7dbc0bc06070c91427fd828121bd126fb3b113c18c49b2ec01"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00006820-n000004-0000-5a8ebe95ad9c2cdd.parquet",
-      "sha256": "5a8ebe95ad9c2cdda39efdca2ad7c0d6819b365b5752389fa0a0581e49abaac5",
       "bytes": 65217,
+      "path": "data/dev/p62/oproofs-s00002-r00006820-n000004-0000-5a8ebe95ad9c2cdd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
+      "sha256": "5a8ebe95ad9c2cdda39efdca2ad7c0d6819b365b5752389fa0a0581e49abaac5"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00006820-n000004-0000-0f52dd2fdb55d6d3.parquet",
-      "sha256": "0f52dd2fdb55d6d388c4eb4666d73dd75d6b765bfb2c7025ea938c3d55c3d94a",
       "bytes": 170135,
+      "path": "data/internal_test/p62/oproofs-s00002-r00006820-n000004-0000-0f52dd2fdb55d6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
+      "sha256": "0f52dd2fdb55d6d388c4eb4666d73dd75d6b765bfb2c7025ea938c3d55c3d94a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6820",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6821",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6822",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6823"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006820.lean\",\"943c16ca87a95ec4d7b97e190fa6a2ea16b147eea6ec8e872e41375a6ef70930\",0,\"lean_workbook_11247\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006821.lean\",\"53ec4b198810b72fed40dfd9ff69675a20550986e7bc42f9efbee6e42100a84b\",0,\"lean_workbook_plus_25766\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006822.lean\",\"8ce4a8bf191c433a71dafa4cb99dca4686f5f57ed9c5c3cbd7b2afde86465997\",0,\"lean_workbook_43693\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006823.lean\",\"ca21abdbf975aad39274bc8853b3d7965ab12e0ceeff495ba88ff769c3224163\",0,\"lean_workbook_plus_32123\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006824-n000004.json b/manifests/batches/oproofs/s00002-r00006824-n000004.json
index 190f1a0a5ab6df8efaabafc22f31ea48509fc1ed..c2dd56a69d1a5b21af1f7dc751746e639572699f 100644
--- a/manifests/batches/oproofs/s00002-r00006824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006824-n000004",
   "batch_fingerprint": "573de06ffcdeda593a74d4eee5fbfd9b9527a872a5bf86cfe793b91f149efb68",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006824-n000004-0000-6de235d2d718fa92.parquet",
-      "sha256": "6de235d2d718fa926ec57b682683700dc90df501bfede9b40b653b26bf38620b",
-      "bytes": 504177,
-      "rows": 14,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006824-n000004-0000-910e740d9e29eb0c.parquet",
-      "sha256": "910e740d9e29eb0cbade7a8d2595cf26a6bfeec28f5fe867f5b0f5fe9b4f9806",
-      "bytes": 76070,
-      "rows": 3,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006825.lean\",\"42fb462fa9e80d28307f15f7451c70abc4131670662b152925b471ae16330c44\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006826.lean\",\"d676964d2c5a7a5369f624bbf5d8a18479ab7af76dbb5c66df553babf3230713\",1,\"verify_passing_marks\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006827.lean\",\"cbb60dd8a8d0f00143a2fe4ef65ffd9a7c81617c8d3ea426489acdfe7e397e50\",0,\"lean_workbook_plus_59946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 504177,
+      "path": "data/train/pec/oproofs-s00002-r00006824-n000004-0000-6de235d2d718fa92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6de235d2d718fa926ec57b682683700dc90df501bfede9b40b653b26bf38620b"
+    },
+    {
+      "bytes": 76070,
+      "path": "data/internal_test/pec/oproofs-s00002-r00006824-n000004-0000-910e740d9e29eb0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "910e740d9e29eb0cbade7a8d2595cf26a6bfeec28f5fe867f5b0f5fe9b4f9806"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006828-n000004.json b/manifests/batches/oproofs/s00002-r00006828-n000004.json
index 32f8cf60d2a4510391b730680e36a456eb7528bc..03248fa20a2f2c65969ca723406e452ed0b139dc 100644
--- a/manifests/batches/oproofs/s00002-r00006828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006828-n000004",
   "batch_fingerprint": "214eca5926e011b6fbdfd1778cb5f72fbdf1a9d55b5b2e720f31dca1a5a2590b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006828-n000004-0000-a3a7f4b2a8f4165b.parquet",
-      "sha256": "a3a7f4b2a8f4165bf7a31475a96a8998356e2fd3c9c70f5a851692aeeb08de66",
-      "bytes": 335499,
-      "rows": 18,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006829.lean\",\"7d23e85e1f4013a7df4ff192ae0d0575cefcec0d9cdf002c8bb6ec611ae1b110\",0,\"algebra_406571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006830.lean\",\"d7ee8104002f9d04618e4a336643eccc5bca7b203812a5de978d0025bc2009d3\",0,\"lean_workbook_plus_30440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006831.lean\",\"db384fc3a149deefde5850e06e410fd9cc228bfb4c4335de98de5809c4e786c9\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335499,
+      "path": "data/train/p4d/oproofs-s00002-r00006828-n000004-0000-a3a7f4b2a8f4165b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a3a7f4b2a8f4165bf7a31475a96a8998356e2fd3c9c70f5a851692aeeb08de66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006832-n000004.json b/manifests/batches/oproofs/s00002-r00006832-n000004.json
index 3a9d6cebcc5b14e99404c3b9d82da2de9238da9c..cbafa3db79f27f9d58601a46d748eed6fadc88f7 100644
--- a/manifests/batches/oproofs/s00002-r00006832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006832-n000004",
   "batch_fingerprint": "e3828faf1dfbe98ec3ca66ff90a13be8ce88e3b37fb0f8d7523eb62e0a7282cb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006832-n000004-0000-f8ea30bbc5b0c62d.parquet",
-      "sha256": "f8ea30bbc5b0c62d3a17de352f85d090ab1eaafb0177019ee4e28f962c73ec5d",
-      "bytes": 396720,
-      "rows": 15,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006833.lean\",\"edc11451395c175a8e6b216b04ddfd0b920478d83fb60d3b6dfbd242d389908f\",0,\"lean_workbook_plus_30570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006834.lean\",\"934a970dfa66f5787ce508f91235188aaf662c801ba934b44df19d21bd0b9dfa\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006835.lean\",\"c20ae6c70de3c1ef7af4800fbebc4470c63c41f2118d527f35f5e403b04f82d1\",0,\"lean_workbook_plus_35179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396720,
+      "path": "data/train/pe8/oproofs-s00002-r00006832-n000004-0000-f8ea30bbc5b0c62d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f8ea30bbc5b0c62d3a17de352f85d090ab1eaafb0177019ee4e28f962c73ec5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006836-n000004.json b/manifests/batches/oproofs/s00002-r00006836-n000004.json
index cc4b3aed0e61a5e3548c879df15e729c9a4b7c5f..c29e6d255f02ecab0e09b1676004f75070a4549c 100644
--- a/manifests/batches/oproofs/s00002-r00006836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006836-n000004",
   "batch_fingerprint": "c0a44b4fb8b4de06efbb5e73919507c649afd2700e611888f43b22682741be86",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006836-n000004-0000-72bb88c6182b64a7.parquet",
-      "sha256": "72bb88c6182b64a783a700cd3bdee3af775761dbbe8ddde4e14fffcf7a4eb3c2",
-      "bytes": 134273,
-      "rows": 10,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006837.lean\",\"e0d96d4d6d88dace74c846f64b883d6f9d3ccd1dee2f8597936d89acd6abbb6e\",0,\"lean_workbook_plus_64816\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006838.lean\",\"71c5ef2ee23a6143043beb41f2c0f3f0a3e2cf8a3e448b620bda069ed332eed9\",0,\"lean_workbook_plus_51914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006839.lean\",\"a6a4d353d4cebbcb48edaf80f746f7c2449bb8601a7ab92b89260097954a99df\",0,\"lean_workbook_plus_37029\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134273,
+      "path": "data/train/pa9/oproofs-s00002-r00006836-n000004-0000-72bb88c6182b64a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "72bb88c6182b64a783a700cd3bdee3af775761dbbe8ddde4e14fffcf7a4eb3c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006840-n000004.json b/manifests/batches/oproofs/s00002-r00006840-n000004.json
index 8bcc67983bcd11089524228bbaa9dc689704df4e..b005f707f68f504ac06b6472291942776bf069e7 100644
--- a/manifests/batches/oproofs/s00002-r00006840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006840-n000004",
   "batch_fingerprint": "ab4b808816c9ea06cbbd8c6523d89e204f9c3e742046a9924a2b6a8da0269f50",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006840-n000004-0000-c630e38ddb00067f.parquet",
-      "sha256": "c630e38ddb00067f01cf39310342e58967422e1735f456d990130fc60a6762cc",
-      "bytes": 221775,
-      "rows": 12,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006841.lean\",\"2acdcb9cdb2b4193b68349d17be5bfd9c8dc57d9e9b956838b80cfc61c7535a5\",0,\"lean_workbook_plus_24304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006842.lean\",\"f26d302dea557f1ab7d6fd9861ddc4e7aad0b7699b2017592d95b47439693be4\",0,\"lean_workbook_plus_69440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006843.lean\",\"46d4d921f481c58454a632d77808e3d7fe3f8fd39ad6c195f729a7bcbd76b0a0\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221775,
+      "path": "data/train/pe0/oproofs-s00002-r00006840-n000004-0000-c630e38ddb00067f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c630e38ddb00067f01cf39310342e58967422e1735f456d990130fc60a6762cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006844-n000004.json b/manifests/batches/oproofs/s00002-r00006844-n000004.json
index 581d0290c898079f1534db98913ca7f5e3cf8990..b0009f24d51279e6099d471b4250ad66a5768955 100644
--- a/manifests/batches/oproofs/s00002-r00006844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006844-n000004",
   "batch_fingerprint": "0ac6430cc373d1bcaa1cfba7b8bfe44802d249eec87082728acae01dff61c9a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006844-n000004-0000-97d614f8bd461800.parquet",
-      "sha256": "97d614f8bd4618004bab632385dc49d7def9e76edccccc1813930136269df654",
-      "bytes": 713224,
-      "rows": 24,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6845",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006845.lean\",\"39c1c45584a0c8e6227ae6b84c753a1d3c1db4f3cd4d6267c8d654a09a4b4e2f\",0,\"lean_workbook_plus_38390\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006846.lean\",\"8aceadf66c495bf657ce7e73ab01ac4fc950d931ad0ab0f983b53d84965f028d\",0,\"lean_workbook_plus_69967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006847.lean\",\"4d17cf330eb7980dfacddc44c20db3407ecab4a64fe9aa928865d22d3614011e\",0,\"lean_workbook_38267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 713224,
+      "path": "data/train/p4f/oproofs-s00002-r00006844-n000004-0000-97d614f8bd461800.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "97d614f8bd4618004bab632385dc49d7def9e76edccccc1813930136269df654"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006848-n000004.json b/manifests/batches/oproofs/s00002-r00006848-n000004.json
index 1ce4dc93b55067ba99bd2b6e0ecab6f94d84501d..c074bdfa459a99b5676e31a4275dddb664fe2bb2 100644
--- a/manifests/batches/oproofs/s00002-r00006848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006848-n000004",
   "batch_fingerprint": "eddf674415225ab9f01d018a26be336c16eb4be404af1266e34eceacdf538739",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006848-n000004-0000-bb73697b4f563313.parquet",
-      "sha256": "bb73697b4f5633132f7a09f88c00d0e27fc11982772209a7efcc82dcc246fc99",
-      "bytes": 343432,
-      "rows": 22,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006849.lean\",\"19893747bfb31c4b93fec6855cc0ad2065b6b008c531b95c2b259b8b04233b3d\",0,\"lean_workbook_plus_14588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006850.lean\",\"25e3d684a294a49962b82f6b3d12f6f6c2c05b9aff422712c7536d11cd4eb029\",0,\"lean_workbook_plus_4178\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006851.lean\",\"985a6722ada94b19b09ac77d12da5771f01eb8fc0140510be3c0e4309bf93028\",0,\"lean_workbook_plus_22753\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343432,
+      "path": "data/train/pfb/oproofs-s00002-r00006848-n000004-0000-bb73697b4f563313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "bb73697b4f5633132f7a09f88c00d0e27fc11982772209a7efcc82dcc246fc99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006852-n000004.json b/manifests/batches/oproofs/s00002-r00006852-n000004.json
index 87c9d5d58745ce527457a006c6c75d23b2cffbb8..4c57ebe3698db3fd5a33fb536c630e4c86824a1b 100644
--- a/manifests/batches/oproofs/s00002-r00006852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006852-n000004",
   "batch_fingerprint": "e43a22e6da771a7c4731f61377a2b62bbe17613f34b1533db5acae9b833da02e",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006852-n000004-0000-51ef1f44e90c7586.parquet",
-      "sha256": "51ef1f44e90c758669694bd37ad2a90b7437822882e79b67b9d0c6c09ebb26f1",
-      "bytes": 83688,
-      "rows": 8,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6853",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006852.lean\",\"dd25fa836e8d9cb8cc23977b2f27cb4e7cd627a632322856ff5a1ad4bc2db942\",0,\"lean_workbook_plus_53996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006853.lean\",\"e3cc42c9547cf9a5ec22771279d343e9af1b3159fe4ab922c4af869c0429823e\",0,\"negation_statement_equivalent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006855.lean\",\"93cec943a66f1ac23109d4a8e3ebe290822cfca423dc98ec27b48c47a554cdb2\",0,\"lean_workbook_plus_31738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83688,
+      "path": "data/train/p2a/oproofs-s00002-r00006852-n000004-0000-51ef1f44e90c7586.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "51ef1f44e90c758669694bd37ad2a90b7437822882e79b67b9d0c6c09ebb26f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006856-n000004.json b/manifests/batches/oproofs/s00002-r00006856-n000004.json
index d37009486955ad801449e8567dd6fe0f614b8fed..0d845df98beebc1246cf07e57a1e2c116b9ed9d1 100644
--- a/manifests/batches/oproofs/s00002-r00006856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006856-n000004",
   "batch_fingerprint": "fdd2e5b56fd6743505eea3811aae18c15b4acdba514857f517ae23814862c538",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006856-n000004-0000-c4700a393c5a1b72.parquet",
-      "sha256": "c4700a393c5a1b72f758bb8068b1b571d3a70b520c75cbbf5b6d5c3181eafa9e",
-      "bytes": 331442,
-      "rows": 16,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006857.lean\",\"6d10fd0aaf02663a9fb38f38d7debe6cd5631246c0c4061265543c0720e16d7e\",0,\"lean_workbook_plus_44113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006858.lean\",\"70bdde4d729af04fb9da7bec8e9fc669727a20e32acbb09b1b3c7e49638a2ceb\",0,\"lean_workbook_plus_74151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006859.lean\",\"3ce67438f6fc7532a4b8c8cdfc848ba2402e442a7ab6fe7f420ddbeedf24f498\",0,\"lean_workbook_43504\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331442,
+      "path": "data/train/p42/oproofs-s00002-r00006856-n000004-0000-c4700a393c5a1b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c4700a393c5a1b72f758bb8068b1b571d3a70b520c75cbbf5b6d5c3181eafa9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006860-n000004.json b/manifests/batches/oproofs/s00002-r00006860-n000004.json
index 08119e70636396c20bb609cb4739e648d952212f..4f7301c0855a3d88bcc225277f616a70656170c0 100644
--- a/manifests/batches/oproofs/s00002-r00006860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006860-n000004",
   "batch_fingerprint": "16d2b8ccb4816790707e0acc0aa0c680f293f481d31f1db4adbe119e305801c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006860-n000004-0000-1147bcf4010e6f64.parquet",
-      "sha256": "1147bcf4010e6f6451568a8691ce992fd923309b72de3333b4c56b97fea79ca9",
-      "bytes": 197868,
-      "rows": 17,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006860-n000004-0000-7f40c42f80cbd4d8.parquet",
-      "sha256": "7f40c42f80cbd4d80eb6c155c53b8c9dd50076b9018844c1dedcaafaad4f7723",
-      "bytes": 151939,
-      "rows": 11,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006861.lean\",\"fd1a5ec3b67fcde6e4f7013b82cb5d00664ba18d7495fd9d91ab4bdc34b49deb\",0,\"lean_workbook_plus_39459\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006862.lean\",\"44e253c5b101f4e2b91954aff1eb5f680fb0918167604f1a04510f505ad9b60f\",0,\"lean_workbook_plus_60956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006863.lean\",\"b052a20374eab0fb02d825e41da7d7a2ac9a345c627f3083b2fe66c170e4afb1\",0,\"lean_workbook_plus_18627\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197868,
+      "path": "data/train/pfa/oproofs-s00002-r00006860-n000004-0000-1147bcf4010e6f64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1147bcf4010e6f6451568a8691ce992fd923309b72de3333b4c56b97fea79ca9"
+    },
+    {
+      "bytes": 151939,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00006860-n000004-0000-7f40c42f80cbd4d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7f40c42f80cbd4d80eb6c155c53b8c9dd50076b9018844c1dedcaafaad4f7723"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006864-n000004.json b/manifests/batches/oproofs/s00002-r00006864-n000004.json
index 63eb39a0252acf9ff45811262fe58849b9965b1b..09fb54b694050c153f4550ba7e8995cfe5f64486 100644
--- a/manifests/batches/oproofs/s00002-r00006864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006864-n000004",
   "batch_fingerprint": "c9d3ed6782bc422911a396a386f4d207d2a89f2d7bc7c6157a052f024672f741",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006864-n000004-0000-461c124b50912263.parquet",
-      "sha256": "461c124b50912263196d0847f6eca1757c17c673baa2914dc20684a918ab144d",
-      "bytes": 299987,
-      "rows": 30,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6865",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006865.lean\",\"4bcc03230965e9b6187c148cfcdcc5b6d2a058ed1f771a65f738b6fe01d7f4db\",0,\"RealSquareSum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006866.lean\",\"1603ff6061a11335115cfafe99ea1597fb717eeb2bc74455c4c3bad982e1c537\",0,\"sqrt_i\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006867.lean\",\"f3bea8ec314b9628025ba3b4df78f1da2dbc1a8ecfde2796187131e2661324c4\",0,\"algebra_456739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299987,
+      "path": "data/train/p83/oproofs-s00002-r00006864-n000004-0000-461c124b50912263.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "461c124b50912263196d0847f6eca1757c17c673baa2914dc20684a918ab144d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006868-n000004.json b/manifests/batches/oproofs/s00002-r00006868-n000004.json
index 24a8c912fc05f20c9d09fe0e92f5c38d4b829f94..ab211ca1070c9a7be8556e11ace9919d36088725 100644
--- a/manifests/batches/oproofs/s00002-r00006868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006868-n000004",
   "batch_fingerprint": "dbd7de8bd9180cc2d9ee44570621340ae6bb2695a4c0b62643516215b7a5f1bd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006868-n000004-0000-5d48b4e0fd1abd71.parquet",
-      "sha256": "5d48b4e0fd1abd71d303ddba37d3c4dc1a793840be62b514bc245122d2852b3a",
-      "bytes": 254659,
-      "rows": 10,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006868-n000004-0000-df0ac0d43921e166.parquet",
-      "sha256": "df0ac0d43921e166144cc22570e6ae99831e6bb258d7196b63e00bf2aacdec82",
-      "bytes": 200907,
-      "rows": 5,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6869",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006869.lean\",\"bbf779ad1d478cc96d6e187b91c6988cc77ae19dbb94ec19e0b628765291cf30\",0,\"integer_pair\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006870.lean\",\"4d336c77c58f2bbf1b8d70392b8c85ace3e8ac7a35af1be19d0eac10cc0e658d\",0,\"sum_of_fractions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006871.lean\",\"fe276dc117a48c04719327394d4f6f09f5bf193efc2b27701ad1bf1fc2d61acf\",0,\"algebra_486548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254659,
+      "path": "data/train/p52/oproofs-s00002-r00006868-n000004-0000-5d48b4e0fd1abd71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5d48b4e0fd1abd71d303ddba37d3c4dc1a793840be62b514bc245122d2852b3a"
+    },
+    {
+      "bytes": 200907,
+      "path": "data/dev/p52/oproofs-s00002-r00006868-n000004-0000-df0ac0d43921e166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "df0ac0d43921e166144cc22570e6ae99831e6bb258d7196b63e00bf2aacdec82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006872-n000004.json b/manifests/batches/oproofs/s00002-r00006872-n000004.json
index 4233361c22e18ef3f11227bce7796604e33180d6..bca2876f3cd41ba2ca2fa5ef9bffd58da0f0f6e4 100644
--- a/manifests/batches/oproofs/s00002-r00006872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006872-n000004",
   "batch_fingerprint": "41498a2a785fc827662eae7f4d4894aa38bed3b41f7aa4f8608a5801c3b3f782",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006872-n000004-0000-8bc68540d155a63a.parquet",
-      "sha256": "8bc68540d155a63ac6f9d019a919fe779c4b8d1d095579983ab7e977c23f2481",
-      "bytes": 873241,
-      "rows": 13,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006872-n000004-0001-8e3c2f561c38cb38.parquet",
-      "sha256": "8e3c2f561c38cb389da624debc159c5bdc87f38460032cadc16e5574f5918083",
-      "bytes": 323369,
-      "rows": 2,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006873.lean\",\"adeb2c4c63bc8f4bd99c31519f72c4748e03d2aa458a150f699814ec92a0ca75\",0,\"algebraic_364495\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006874.lean\",\"917014c7dfd5987c23fc723d528000b0f1638c48d7ca9d8ec12687884fe40dec\",0,\"RealSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006875.lean\",\"e3dc95281f724857155b32e82423d9ad3463cd620c4d403ae8b7e0bad156eaa3\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 873241,
+      "path": "data/train/pce/oproofs-s00002-r00006872-n000004-0000-8bc68540d155a63a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8bc68540d155a63ac6f9d019a919fe779c4b8d1d095579983ab7e977c23f2481"
+    },
+    {
+      "bytes": 323369,
+      "path": "data/train/pce/oproofs-s00002-r00006872-n000004-0001-8e3c2f561c38cb38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e3c2f561c38cb389da624debc159c5bdc87f38460032cadc16e5574f5918083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006876-n000004.json b/manifests/batches/oproofs/s00002-r00006876-n000004.json
index 7934ba272cc40e6ef00a21c1796b51aff650996e..6eb04a2b5f3d038677464fce039a5e375202d393 100644
--- a/manifests/batches/oproofs/s00002-r00006876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006876-n000004",
   "batch_fingerprint": "ba6dea9908608cd789b0acb9d4f3122547c789fd164b4fa5536e70527fb4bd67",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006876-n000004-0000-367bd6b0ef3df848.parquet",
-      "sha256": "367bd6b0ef3df8481600f54ed51a5d6c5f7c8472bc7231c72e22978e3033c725",
-      "bytes": 946385,
-      "rows": 12,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006876-n000004-0001-5487036e7e3c52c0.parquet",
-      "sha256": "5487036e7e3c52c09a47ba6e8179c6db718eb7c135e1406fecfb037d0f7ce0f8",
-      "bytes": 285050,
-      "rows": 2,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006877.lean\",\"9a945ba785877b37152ad70f41f10b317bad9c85732bee90ec83d4e9ae82fe77\",0,\"algebra_435908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006878.lean\",\"16191395699998d5230d7f25490600df14f8e3e34885f094e706bc769009afee\",0,\"algebra_368807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006879.lean\",\"fabaaa7444de0fe0e3f775a8954f0370b209ba3434a1ffc99f2598c18b93be4a\",0,\"inequality\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 946385,
+      "path": "data/train/pc5/oproofs-s00002-r00006876-n000004-0000-367bd6b0ef3df848.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "367bd6b0ef3df8481600f54ed51a5d6c5f7c8472bc7231c72e22978e3033c725"
+    },
+    {
+      "bytes": 285050,
+      "path": "data/train/pc5/oproofs-s00002-r00006876-n000004-0001-5487036e7e3c52c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5487036e7e3c52c09a47ba6e8179c6db718eb7c135e1406fecfb037d0f7ce0f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006880-n000004.json b/manifests/batches/oproofs/s00002-r00006880-n000004.json
index c282761ee1d555375538875f77a93357ca472944..19f41c9794b131aa2ec91a89e6a9ed167ac9a0d5 100644
--- a/manifests/batches/oproofs/s00002-r00006880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006880-n000004",
   "batch_fingerprint": "e5deb2b05ae8730ae36b94691474bd0284b1e8b5d9f1380e675aa11681bd0528",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006880-n000004-0000-4806a1d506294186.parquet",
-      "sha256": "4806a1d5062941868f69d25204dc55c6e4497e54ea729fe53792e913dd166941",
-      "bytes": 227876,
-      "rows": 19,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6881",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006881.lean\",\"5d98a7a78da42011e7ea61f21d2844f694f018f501c459aa67191810f5fe2e39\",0,\"lean_workbook_plus_38034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006882.lean\",\"5b18a662d323c34222e067f7fdbcee4830e52d6253b867c6a5c8931c0a96c532\",0,\"lean_workbook_2490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006883.lean\",\"19dd5ad3401a69a46098911be2a775eccc9b2c08f64ffc46744c625c9a84fd14\",0,\"lean_workbook_plus_52702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227876,
+      "path": "data/train/p7a/oproofs-s00002-r00006880-n000004-0000-4806a1d506294186.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4806a1d5062941868f69d25204dc55c6e4497e54ea729fe53792e913dd166941"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006884-n000004.json b/manifests/batches/oproofs/s00002-r00006884-n000004.json
index d9742e4a97fbdf22b5cbf1eab2f4e63b46dc2d1f..504267cbac72c94075c6abbaebdf9c5f956ec6db 100644
--- a/manifests/batches/oproofs/s00002-r00006884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006884-n000004",
   "batch_fingerprint": "d1e49b65d3d80035f21ebeedb806369b3783805395e0812af43226aad315d6a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006884-n000004-0000-2d0a4ae88a5ee122.parquet",
-      "sha256": "2d0a4ae88a5ee122b593f867c22210c81cbe06e2436c3293a1085dc16ba9570d",
-      "bytes": 417564,
-      "rows": 28,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006885.lean\",\"5b68cb2440be00c2c0bcb811330d53aab4dd668f1f6e0870ddc0a9c24d31d758\",0,\"lean_workbook_plus_6376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006886.lean\",\"3e8f0a156d00e8f290141e7d624b2825b6608a1dbfba6db0de28de0671ebdee9\",0,\"water_trough_tilt_angle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006887.lean\",\"d88fa721b2bb638ee5590efc3e068cb47626a564a251d4d8a1550ba295b4a567\",0,\"lean_workbook_plus_48025\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 417564,
+      "path": "data/train/pad/oproofs-s00002-r00006884-n000004-0000-2d0a4ae88a5ee122.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "2d0a4ae88a5ee122b593f867c22210c81cbe06e2436c3293a1085dc16ba9570d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006888-n000004.json b/manifests/batches/oproofs/s00002-r00006888-n000004.json
index ee740e936a237973a1866fb10ecec3ddc22c3617..e8ea28e34c83232af0e51378017ee6fbbc766b32 100644
--- a/manifests/batches/oproofs/s00002-r00006888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006888-n000004",
   "batch_fingerprint": "895e55cea8c77e5a7090e86f676cc7b06229a75e9092817b23ba66f727454239",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006888-n000004-0000-7793a0f3e70b02d7.parquet",
-      "sha256": "7793a0f3e70b02d719331f7cb5e7fa032bb2378fce219fa91fbb6af45b0685a0",
-      "bytes": 525045,
-      "rows": 19,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006888-n000004-0000-16f84f4acb38a958.parquet",
-      "sha256": "16f84f4acb38a958e82a1f4ffc9ef2f3c2258c81c000b1a02af0ff9a768cb8a6",
-      "bytes": 66009,
-      "rows": 5,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006889.lean\",\"c66dbffc5a8989200c73c38345660f884dc6fae015672859082df74c269a6aaa\",0,\"RealSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006890.lean\",\"19ed2ba7ca574609b6a176ecaff53ef967e3383a50cf1402510941b47871042f\",0,\"lean_workbook_11247\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006891.lean\",\"700f87ce373c78f97983fcec4cf747436c426f4cebe86220cf66189997a98f96\",0,\"lean_workbook_plus_25766\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525045,
+      "path": "data/train/p20/oproofs-s00002-r00006888-n000004-0000-7793a0f3e70b02d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7793a0f3e70b02d719331f7cb5e7fa032bb2378fce219fa91fbb6af45b0685a0"
+    },
+    {
+      "bytes": 66009,
+      "path": "data/dev/p20/oproofs-s00002-r00006888-n000004-0000-16f84f4acb38a958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "16f84f4acb38a958e82a1f4ffc9ef2f3c2258c81c000b1a02af0ff9a768cb8a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006892-n000004.json b/manifests/batches/oproofs/s00002-r00006892-n000004.json
index d598e0ac6674609ef78206ab896561cdedb74ffd..bb17ee2bf687b3ffbfc51042b2c4fcc064f309eb 100644
--- a/manifests/batches/oproofs/s00002-r00006892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006892-n000004",
   "batch_fingerprint": "667cfbc89243349fc5966728b21011cb6fd1ef6080ebdc639da9de1b6bfb4aee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006892-n000004-0000-7df84daea614248b.parquet",
-      "sha256": "7df84daea614248b39d23da1c575284c63332d19974d4050a47980c5eec6cb3e",
-      "bytes": 62254,
-      "rows": 6,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006892-n000004-0000-573bfec7a2173e17.parquet",
-      "sha256": "573bfec7a2173e17cc0ed3b7df442b4dac1963f32c42e0053a47262f09125274",
-      "bytes": 248253,
-      "rows": 16,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006893.lean\",\"1261f455b3cb6d9a3130d077350a805cc8f275e825328d1a720da8c8c16a8910\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006894.lean\",\"25b472ea0bc77f1ce0bb5f09beaf6f5e480f01e2335985c63287ce8194cb02e9\",0,\"lean_workbook_43693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006895.lean\",\"feb407296a8da5ddd60af28f5c59faf1b7b9c68181d261f838d41c8a831ec21b\",1,\"verify_passing_marks\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62254,
+      "path": "data/train/pd4/oproofs-s00002-r00006892-n000004-0000-7df84daea614248b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7df84daea614248b39d23da1c575284c63332d19974d4050a47980c5eec6cb3e"
+    },
+    {
+      "bytes": 248253,
+      "path": "data/internal_test/pd4/oproofs-s00002-r00006892-n000004-0000-573bfec7a2173e17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "573bfec7a2173e17cc0ed3b7df442b4dac1963f32c42e0053a47262f09125274"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006896-n000004.json b/manifests/batches/oproofs/s00002-r00006896-n000004.json
index d4937469a5f2689f49c8491195579fdecc2be508..382027d05d887b247579999823411fcbe37f086c 100644
--- a/manifests/batches/oproofs/s00002-r00006896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006896-n000004",
   "batch_fingerprint": "c00659e36789a2eefb94f8edf779bb2687f660e93594f9b8bf05eb6aefb0707e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006896-n000004-0000-cd9068c58bafeacf.parquet",
-      "sha256": "cd9068c58bafeacf84f32ad57ab6c0888b747804467f49a2ea6a61cb3a8af6ee",
-      "bytes": 612190,
-      "rows": 24,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006897.lean\",\"8395d3150fdce18beb6b0c43deab73bfa291b5d1a2929141e574784a88c70043\",0,\"lean_workbook_plus_30440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006898.lean\",\"bef89fd54e520eb5b4ebe8f75bd095a02fc3e3502c701a2b16fd48dbd2398cd0\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006899.lean\",\"e6ce26fd18d59a402987904d15a68b4eac1647e2a8ea9b9f87e22b97c03f861b\",0,\"lean_workbook_plus_30570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 612190,
+      "path": "data/train/pfc/oproofs-s00002-r00006896-n000004-0000-cd9068c58bafeacf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cd9068c58bafeacf84f32ad57ab6c0888b747804467f49a2ea6a61cb3a8af6ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006900-n000004.json b/manifests/batches/oproofs/s00002-r00006900-n000004.json
index 95f4678e370ca31299427f257ca239dbe758f726..6d45145fd31ad387095f1c1b777a309e05ac595e 100644
--- a/manifests/batches/oproofs/s00002-r00006900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006900-n000004",
   "batch_fingerprint": "6fe8af6f4cd20221f25ca59e15cacf703c555c5c2a9ffc1468550c44ab99848d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006900-n000004-0000-adc7fc8a5adecf1d.parquet",
-      "sha256": "adc7fc8a5adecf1d6029ce4792e202c740c8a519441ff0adec32b9fce0d46a2f",
-      "bytes": 213767,
-      "rows": 14,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006901.lean\",\"052649460584db6ff4d97f86b7d5a19bfc861265d57be9b769b6506da4132498\",0,\"lean_workbook_plus_82162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006902.lean\",\"423bab51625277b108e6e41692d17bb8384055cfaf87a42b239476aba6c94b1e\",0,\"lean_workbook_plus_82106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006903.lean\",\"e9706bc8c5993d38244b7b0d824c610d0ecbce8096fad2697fe6c99a4a83d71f\",0,\"lean_workbook_plus_79569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213767,
+      "path": "data/train/p84/oproofs-s00002-r00006900-n000004-0000-adc7fc8a5adecf1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "adc7fc8a5adecf1d6029ce4792e202c740c8a519441ff0adec32b9fce0d46a2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006904-n000004.json b/manifests/batches/oproofs/s00002-r00006904-n000004.json
index 17f7f44689b13c21f0d15c889cd7e44aba8210f7..a9b71b2862059f99c5ca549c3eed12fb627fce68 100644
--- a/manifests/batches/oproofs/s00002-r00006904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006904-n000004",
   "batch_fingerprint": "4a3e3b98a0f973a0674580ba4c89b6689422f6d503057a8c1324ddf4b8f08887",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006904-n000004-0000-a2e538eb33d71182.parquet",
-      "sha256": "a2e538eb33d711827c80ac53c8aa1ebfd2c6a202cf2ddb22d4356993f8ae94ca",
-      "bytes": 587004,
-      "rows": 13,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006904-n000004-0000-0c24fd468bf67d6e.parquet",
-      "sha256": "0c24fd468bf67d6ee7c56400f5ef8881015cf1cd4272f4682f8303c4211a2115",
-      "bytes": 130538,
-      "rows": 10,
-      "revision": "298de9fc89a29f737cf0d3f04de6dfa7b26776dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006905.lean\",\"9f8c89a2f3e479d37d1476439e78f8700a24a6853913365eeaa22f0eb27def04\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006906.lean\",\"e6308e08fa2a70ebecb5e5bae8576c0e7806dacc507a79a7bb284fdcb244dfbe\",0,\"sets_intersection_complement_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006907.lean\",\"7f2a9903dca43a1c42cb0a0d91d294dfc303043a3bce39754375acf5e41ee430\",0,\"lean_workbook_plus_36653\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 587004,
+      "path": "data/train/pc8/oproofs-s00002-r00006904-n000004-0000-a2e538eb33d71182.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a2e538eb33d711827c80ac53c8aa1ebfd2c6a202cf2ddb22d4356993f8ae94ca"
+    },
+    {
+      "bytes": 130538,
+      "path": "data/dev/pc8/oproofs-s00002-r00006904-n000004-0000-0c24fd468bf67d6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0c24fd468bf67d6ee7c56400f5ef8881015cf1cd4272f4682f8303c4211a2115"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006908-n000004.json b/manifests/batches/oproofs/s00002-r00006908-n000004.json
index f57d36fad8edd3739740e9ae846489a748ef8b75..05e08a1979813cb2f29c65adad4c04dcdda897f6 100644
--- a/manifests/batches/oproofs/s00002-r00006908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006908-n000004",
   "batch_fingerprint": "ff1ce76a4a52352bb4a3696397d63072685863fe9f60a16f5756ab0a2a4141c5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006908-n000004-0000-e3fa7adb7ab3d77e.parquet",
-      "sha256": "e3fa7adb7ab3d77e2581b77570fa825c81e856fa8e3ab871a52d97dc0f640dd5",
-      "bytes": 189982,
-      "rows": 12,
-      "revision": "55d12e4d0b2deceab19041b0b69ac128154a98fb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006909.lean\",\"65cb12b4a2ec19050c6a775a18660f0794be7828b086712bcb5b14fd74cd8a72\",0,\"lean_workbook_plus_69440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006910.lean\",\"09ced53563714fd3f80443e6a42fdc8e0519cbbce92403307b1ff18fccb450d0\",0,\"lean_workbook_plus_38390\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006911.lean\",\"01ebae83b3a4362ac4b537a83ea8ec7d150fe038eba9dcd66ca46f5586302636\",0,\"lean_workbook_plus_40159\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189982,
+      "path": "data/train/p09/oproofs-s00002-r00006908-n000004-0000-e3fa7adb7ab3d77e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e3fa7adb7ab3d77e2581b77570fa825c81e856fa8e3ab871a52d97dc0f640dd5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006912-n000004.json b/manifests/batches/oproofs/s00002-r00006912-n000004.json
index 7741ca63f84e99e6f3cfe9b6b464811374374114..08ff08f7a52c6ea70e26c9b1623d54b8cb7cabed 100644
--- a/manifests/batches/oproofs/s00002-r00006912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006912-n000004",
   "batch_fingerprint": "d97e929c37b42ef43dabfb4093b8ec6e90935a97fa7c7b048d2af0327a3cf339",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006912-n000004-0000-6038030951523790.parquet",
-      "sha256": "6038030951523790cad659a7749f65490682021c25a8009f5d5666c1133c5f0f",
-      "bytes": 379176,
-      "rows": 19,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006913.lean\",\"803052eda0e8fcfd15225f2adbb66ff3527025061da9ecca0b82ef050df392cb\",0,\"lean_workbook_plus_14588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006914.lean\",\"3e2209bdf0c11034a66ffd142c17dcf56578966624fad87f37c795e536a288fa\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006915.lean\",\"755b2ff77e762fff0353e9a9cab6ceef1fc9c0428407c4641e5536226c13749f\",0,\"lean_workbook_plus_10851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379176,
+      "path": "data/train/pb1/oproofs-s00002-r00006912-n000004-0000-6038030951523790.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6038030951523790cad659a7749f65490682021c25a8009f5d5666c1133c5f0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006916-n000004.json b/manifests/batches/oproofs/s00002-r00006916-n000004.json
index cf85f56cf3fef5edd6ef09e3f419b6fa258c6da4..822f35c7da562ab6c94f72de30a0dfb7d0621598 100644
--- a/manifests/batches/oproofs/s00002-r00006916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006916-n000004",
   "batch_fingerprint": "a8d65c3b0c2a5d36c5614cab9d2be1c6cac9168a2606387027d16e837c28b053",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006916-n000004-0000-f0dfe905c14b612f.parquet",
-      "sha256": "f0dfe905c14b612f3673b00ff6ff6ce668955ab49f8651cc251ebcec6a7948e4",
-      "bytes": 295400,
-      "rows": 20,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6917",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006917.lean\",\"d191748a4935128731c14b140928d9b584643c5c37765c56d4cb2594d783e556\",0,\"lean_workbook_plus_4178\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006918.lean\",\"7f98cd82c6bf030ff5292a2f2d29e092505285e0e59bfba8a335bb7fa0aac5eb\",0,\"lean_workbook_plus_22753\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006919.lean\",\"b5f16170b65b47ec6d06c4edf23c1135311fcbc9d71171cf365266eb971fa95b\",0,\"lean_workbook_plus_78094\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295400,
+      "path": "data/train/p66/oproofs-s00002-r00006916-n000004-0000-f0dfe905c14b612f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f0dfe905c14b612f3673b00ff6ff6ce668955ab49f8651cc251ebcec6a7948e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006920-n000004.json b/manifests/batches/oproofs/s00002-r00006920-n000004.json
index aa0791c974604fcfe21cd3973ec31edc3a842c9a..af0d7345702cbb8ec8195e1df7a236b8f135d64c 100644
--- a/manifests/batches/oproofs/s00002-r00006920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006920-n000004",
   "batch_fingerprint": "6a62fea02d97154d659df1e85a6794c7e6701ce81cd45747db4d79e0137f51b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006920-n000004-0000-9f512ab16307da46.parquet",
-      "sha256": "9f512ab16307da4682de9a6967b7b4dd914f3af6c66cfc5addbd329259c83334",
-      "bytes": 98580,
-      "rows": 10,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6921",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006921.lean\",\"ead8c891b498c8c68108a3cf023713fe7b9631d7b3ad2ed51cfb04c9e85de267\",0,\"negation_statement_equivalent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006922.lean\",\"81608bacb9609b87062ef4e66133a5f478ecb77ab410e84ceecde6b353502a27\",0,\"lean_workbook_plus_31738\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006923.lean\",\"a31d8eb7fb517c4f24bf83ab16e9885f672f2fbb46cfdb44a3d9448502f56aaf\",0,\"algebra_467152\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98580,
+      "path": "data/train/p01/oproofs-s00002-r00006920-n000004-0000-9f512ab16307da46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9f512ab16307da4682de9a6967b7b4dd914f3af6c66cfc5addbd329259c83334"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006924-n000004.json b/manifests/batches/oproofs/s00002-r00006924-n000004.json
index ee23cb2549d39452fb5b549c0d8a11cb355c59f6..92031552b40c2467b8818b9d7cc91b076ac72faa 100644
--- a/manifests/batches/oproofs/s00002-r00006924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006924-n000004",
   "batch_fingerprint": "cf74f4ac7ad8b319af4b97536ead6345a97b13b8c66b3ba845bbe08e0897daa5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006924-n000004-0000-a7d9380084213ea3.parquet",
-      "sha256": "a7d9380084213ea3cefc67694df2ace747eb95ca90efc65623eb880fff88fa6e",
-      "bytes": 524152,
-      "rows": 14,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006925.lean\",\"1cc52899aa77d499e81a35c043f74eba2fed18214989ac4ff1e6d7bd5c23389d\",0,\"lean_workbook_plus_66466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006926.lean\",\"f4d35412ed4d3fcd24334b8fd755d7eb63ce397cc06d4d17be77df6477d6bafc\",0,\"lean_workbook_14310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006927.lean\",\"389ae63a6a817c8a9a03f1449efddb6c70c53524fdca24092f51bccf5c6ea5e4\",0,\"lean_workbook_plus_54525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 524152,
+      "path": "data/train/p7b/oproofs-s00002-r00006924-n000004-0000-a7d9380084213ea3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a7d9380084213ea3cefc67694df2ace747eb95ca90efc65623eb880fff88fa6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006928-n000004.json b/manifests/batches/oproofs/s00002-r00006928-n000004.json
index 12962c018424264fa1213bb38d6e71ff0ddb6f8d..f1abc73a9132e08e058c0357cb991ed91069ca5f 100644
--- a/manifests/batches/oproofs/s00002-r00006928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006928-n000004",
   "batch_fingerprint": "9714facec1058c47678c49c22656f5433dce2544caae1192b370b6422558241c",
   "evidence": {
@@ -41,15 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006928-n000004-0000-08110a137cf2e688.parquet",
-      "sha256": "08110a137cf2e6889d40b9c982729260477dc3a2a7343436f4eefafa063fd6e6",
-      "bytes": 387658,
-      "rows": 15,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6929",
@@ -59,5 +50,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006928.lean\",\"eb1a6956ac0b8d2a8b427b315fbe864552139cbb37c3caff2e827cdd734cb34e\",0,\"lean_workbook_plus_60296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006929.lean\",\"79dbb9e5f7cae86e971f3ebf58f8a4c5acb272b68a4269cba0df2c26c07e6eac\",0,\"lean_workbook_plus_74151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006930.lean\",\"2f07e3722105060f4e19f4c2911bc86d3022a9630e095f6c4715c31a97803d2d\",0,\"lean_workbook_57209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387658,
+      "path": "data/train/p81/oproofs-s00002-r00006928-n000004-0000-08110a137cf2e688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "08110a137cf2e6889d40b9c982729260477dc3a2a7343436f4eefafa063fd6e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006932-n000004.json b/manifests/batches/oproofs/s00002-r00006932-n000004.json
index 2743e6e432e9f5edfd3b2db7e4c891578845b02d..07a74aec612677ecc91ccf5050cefc0e975ce699 100644
--- a/manifests/batches/oproofs/s00002-r00006932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006932-n000004",
   "batch_fingerprint": "9396e5c7a33d2f5194863fc7162ad1f2621e2553c693323edbcd3b8f4561707c",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006932-n000004-0000-b02aab8c6a96cd62.parquet",
-      "sha256": "b02aab8c6a96cd629c1bfdd91b017bf4946704e389ef55a5df7383ffb4f8d7ed",
-      "bytes": 258849,
-      "rows": 8,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6934",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006932.lean\",\"0477e6d8e15ddf93841c92d7c3d50b748a18e9a36f8181e4706a2d778839d381\",0,\"lean_workbook_plus_18627\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006934.lean\",\"ccba79bbb03ef4b36d34341aaa63023e269f5cee55a77c5b4fcd3726dea9fd53\",0,\"lean_workbook_plus_39459\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006935.lean\",\"adfb8a8ae2783db9604798bd6af395aac4b58a9b0709e5165e529a71e8eaf394\",0,\"lean_workbook_plus_69561\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258849,
+      "path": "data/train/pb8/oproofs-s00002-r00006932-n000004-0000-b02aab8c6a96cd62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b02aab8c6a96cd629c1bfdd91b017bf4946704e389ef55a5df7383ffb4f8d7ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006936-n000004.json b/manifests/batches/oproofs/s00002-r00006936-n000004.json
index 4dd46e3ae19045b3ff00be484794aaf0d2c2ab53..cd6a3f34894aa93e151099ab3fb7d6ab460f25b8 100644
--- a/manifests/batches/oproofs/s00002-r00006936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006936-n000004",
   "batch_fingerprint": "b760605b1ff8716814f599e3c8cc57b1da8c35bc1ea37dda00dc0fc6ad2c2f29",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006936-n000004-0000-6bb80ae3c5cc2552.parquet",
-      "sha256": "6bb80ae3c5cc25528754a14b3db3de657a9a52b52582ab687f66d7e0ae278426",
-      "bytes": 797418,
-      "rows": 16,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00006936-n000004-0001-da5591a29a7f65a8.parquet",
-      "sha256": "da5591a29a7f65a89e40dd2165675afbfd5b4af8b1c00c20704e913eda88afd8",
-      "bytes": 797003,
-      "rows": 9,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006937.lean\",\"9571cf5491f5e1332d040c8cffd6fe8ddcc1843e777749755036012055e2a0ff\",0,\"lean_workbook_18921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006938.lean\",\"09df69e5941ddb8587123f0f48d61c91d02cf47e7667669dbc52a945962be3bf\",0,\"lean_workbook_21120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006939.lean\",\"4c8626292dca84e5de424d9f2c408369c197bd020c3269bc8cd38af418c8d6af\",0,\"sqrt_i\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 797418,
+      "path": "data/train/p0b/oproofs-s00002-r00006936-n000004-0000-6bb80ae3c5cc2552.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6bb80ae3c5cc25528754a14b3db3de657a9a52b52582ab687f66d7e0ae278426"
+    },
+    {
+      "bytes": 797003,
+      "path": "data/train/p0b/oproofs-s00002-r00006936-n000004-0001-da5591a29a7f65a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "da5591a29a7f65a89e40dd2165675afbfd5b4af8b1c00c20704e913eda88afd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006940-n000004.json b/manifests/batches/oproofs/s00002-r00006940-n000004.json
index f6e5ed55b94f3b1f47bb33fb6dd24ba1266a81ed..1a741a84bb405b993c1ed9940cee210e40469f48 100644
--- a/manifests/batches/oproofs/s00002-r00006940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006940-n000004",
   "batch_fingerprint": "d14c6d0b21767b4b56931d9e2444e84eded11a0b64c34f27b3a587cad9f84fd8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006940-n000004-0000-b47df6a8932d14ec.parquet",
-      "sha256": "b47df6a8932d14ec5eafa7ccca735f046d784825b52e5cf6dc3703b2a52a631f",
-      "bytes": 454081,
-      "rows": 40,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006941.lean\",\"5ef33c9fdf7cd91802c17e4fddff6316555101281adb2831425259108a401752\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006942.lean\",\"2c64c7e10d949a596cbe77a54afae693b518af4c02249ddb548c57b92f80d31c\",0,\"algebra_368807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006943.lean\",\"762556c9087494922e30d008f9decc30081d165c8b49e9dcca8bf15f98463ccf\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 454081,
+      "path": "data/train/p73/oproofs-s00002-r00006940-n000004-0000-b47df6a8932d14ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "b47df6a8932d14ec5eafa7ccca735f046d784825b52e5cf6dc3703b2a52a631f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006944-n000004.json b/manifests/batches/oproofs/s00002-r00006944-n000004.json
index 9db5b63ed6dd0ad25ae03a801b9bf11e8c391034..e4e118824d53f71011ec0145f99201dbfdcf2f9b 100644
--- a/manifests/batches/oproofs/s00002-r00006944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006944-n000004",
   "batch_fingerprint": "bb40237743abbcff4bb12d181f06f04fe97972439812221b62e0eed0623cb6e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006944-n000004-0000-06183b1eb84beec2.parquet",
-      "sha256": "06183b1eb84beec26c07b638176fde238b3ba3fe409e868f3494d058c8fef37e",
-      "bytes": 700252,
-      "rows": 18,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006945.lean\",\"dd012198b29de5dfe3e2cbbef61d8bd59220c290fe6276467eaec94179b9ccf2\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006946.lean\",\"a0bf50d87b5e27b51c4f9429c28dd4996ff90e806f1ec654c918d74e9c22cae4\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006947.lean\",\"d7a06aca9a95523bdfc512fce95abfc4f3093da7adfe0c51f2a9dee0d3df8b5d\",0,\"lean_workbook_46161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 700252,
+      "path": "data/train/pd3/oproofs-s00002-r00006944-n000004-0000-06183b1eb84beec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "06183b1eb84beec26c07b638176fde238b3ba3fe409e868f3494d058c8fef37e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006948-n000004.json b/manifests/batches/oproofs/s00002-r00006948-n000004.json
index da3ed34b4857590859f0ae9cc91d828bd910fd5f..b0ef589c4140dcfd4c070c84a9b501bce1930e8e 100644
--- a/manifests/batches/oproofs/s00002-r00006948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006948-n000004",
   "batch_fingerprint": "f3f8ed493a575e38fb4d239bc22a6f9bed181bb3b444b1be26a4655ca4dcf519",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006948-n000004-0000-e827450d822f58c1.parquet",
-      "sha256": "e827450d822f58c1d67bf3acd3076fc4257639f3d25e2187d445b651c53b0e03",
-      "bytes": 290762,
-      "rows": 16,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6949",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006949.lean\",\"6007937a42ddd2006353089bbdadf29c8975f3478165753aa20ccefefffb2804\",0,\"algebra_435908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006950.lean\",\"2dfe8071e31d3f129aa05ba95ae352fbb322c8dd63745313db78fc59574f3b72\",0,\"lean_workbook_plus_52702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006951.lean\",\"0468f8a99ef53e5d81c4c6cff7324e66dfb98cd4a783382157a2b5f569a97844\",0,\"lean_workbook_plus_38034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290762,
+      "path": "data/train/pf9/oproofs-s00002-r00006948-n000004-0000-e827450d822f58c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e827450d822f58c1d67bf3acd3076fc4257639f3d25e2187d445b651c53b0e03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006952-n000004.json b/manifests/batches/oproofs/s00002-r00006952-n000004.json
index 7f04c211a091adbfcae3db157a4ad940935157d9..137259a7fc8ad952fcc0d9cc191bcd0416add640 100644
--- a/manifests/batches/oproofs/s00002-r00006952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006952-n000004",
   "batch_fingerprint": "0c769b579925f9d3e32dc036d883f9c5fad38b3c1779b0aae92ae7adc40e0ecb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006952-n000004-0000-bef6f1fdcd858652.parquet",
-      "sha256": "bef6f1fdcd858652995509e5a27eecfaa9813858ea7d38f574a41a7bf386e1c5",
-      "bytes": 665896,
-      "rows": 32,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006953.lean\",\"9a3414f0f8befd5462aaad10d7112968cf58526f9cb90348e513b7cf7e94dc90\",0,\"lean_workbook_plus_6376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006954.lean\",\"db3d9c5dd72463f5de0dd01571cc2fce350959ce14b89e1105fc7c2394c665aa\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006955.lean\",\"619e355b89f64b7a5c48c2d16a5a815aa5fdcc6d30cf7732b2cc77d5d7820df1\",0,\"lean_workbook_plus_48025\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 665896,
+      "path": "data/train/pf1/oproofs-s00002-r00006952-n000004-0000-bef6f1fdcd858652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "bef6f1fdcd858652995509e5a27eecfaa9813858ea7d38f574a41a7bf386e1c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006956-n000004.json b/manifests/batches/oproofs/s00002-r00006956-n000004.json
index cc64e28f084e0dd79af0eab04c5ac09d3ab441e5..115891638cccaebda8103bd9dbe6ab911b068e32 100644
--- a/manifests/batches/oproofs/s00002-r00006956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006956-n000004",
   "batch_fingerprint": "9c117022bc79588d8469ec4ad2d8ab65a45b3f1d7acf4f91d68b5de57477825d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006956-n000004-0000-8ebcbbc7f9e1f146.parquet",
-      "sha256": "8ebcbbc7f9e1f1465e336cd4bb3da209b6e42085d3b2da640985c1f4ac8204fe",
-      "bytes": 147215,
-      "rows": 13,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00006956-n000004-0000-955ab1fbabf5a617.parquet",
-      "sha256": "955ab1fbabf5a617fddd5872e69ff24fd335c4223d103ee342508ccd972cabf3",
-      "bytes": 75342,
-      "rows": 4,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006957.lean\",\"e416d9d634d2fdfda4ae1d5516780754ea578908345eb7f1dcd24d9bf58c9dd6\",0,\"lean_workbook_plus_42237\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006958.lean\",\"32bbc533d31bc3e1544efd53e5626d8b448ae88ede8cf0185ca7344c1e3a2f55\",0,\"lean_workbook_plus_25766\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006959.lean\",\"ef7af18287cb8765a0982591b7d8a8e3efa97e1776d2d3be0c6b2d0828952882\",0,\"lean_workbook_11247\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147215,
+      "path": "data/train/p7e/oproofs-s00002-r00006956-n000004-0000-8ebcbbc7f9e1f146.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8ebcbbc7f9e1f1465e336cd4bb3da209b6e42085d3b2da640985c1f4ac8204fe"
+    },
+    {
+      "bytes": 75342,
+      "path": "data/dev/p7e/oproofs-s00002-r00006956-n000004-0000-955ab1fbabf5a617.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "955ab1fbabf5a617fddd5872e69ff24fd335c4223d103ee342508ccd972cabf3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006960-n000004.json b/manifests/batches/oproofs/s00002-r00006960-n000004.json
index c3faf0c10fc9d8579de738545dfda38b7e22a6b9..cfc224f5e14f5872e5300d1bd995a4bd430b55d5 100644
--- a/manifests/batches/oproofs/s00002-r00006960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006960-n000004",
   "batch_fingerprint": "87bd6a56be7f84df60498462c6235c7e5230d80daf5dcff9d64ef0b0e8d40251",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006960-n000004-0000-69b59080e30b2a39.parquet",
-      "sha256": "69b59080e30b2a3921519ef65a2dca627581fb75af738a0ac68d3aac53c3b1ff",
-      "bytes": 599650,
-      "rows": 10,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006960-n000004-0000-858f3dfac8d1dddb.parquet",
-      "sha256": "858f3dfac8d1dddbb3c1c17144424b8c92404577e09547d4c83f39389d6a01d2",
-      "bytes": 164701,
-      "rows": 14,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006961.lean\",\"f4361fe0bd86869d05a815f08c5ac1ee83ab04fe51eaf7c3b77e577a8e14889a\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006962.lean\",\"20821fc6d4583a48fa56a55ea87f529c60e78e55d5d7c29bc04ae32ce7f86daf\",0,\"lean_workbook_plus_32123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006963.lean\",\"6136a2a0f60e0a76158fcd148ba21f0e58d74d25124e0961e23a556b1d92aa80\",1,\"verify_passing_marks\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 599650,
+      "path": "data/train/p29/oproofs-s00002-r00006960-n000004-0000-69b59080e30b2a39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "69b59080e30b2a3921519ef65a2dca627581fb75af738a0ac68d3aac53c3b1ff"
+    },
+    {
+      "bytes": 164701,
+      "path": "data/internal_test/p29/oproofs-s00002-r00006960-n000004-0000-858f3dfac8d1dddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "858f3dfac8d1dddbb3c1c17144424b8c92404577e09547d4c83f39389d6a01d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006964-n000004.json b/manifests/batches/oproofs/s00002-r00006964-n000004.json
index b380d6029b045e1c56d345fccd00e48fea069be9..5f5876b082c1bbeb87b9a2e1a943063a4227dfef 100644
--- a/manifests/batches/oproofs/s00002-r00006964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006964-n000004",
   "batch_fingerprint": "dcb253c51893befb1243e4653c28f1ca49df7b269b261339d2e8f6983817a42c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006964-n000004-0000-b893ce6754351edd.parquet",
-      "sha256": "b893ce6754351eddb7ea5bfc099fb08959cab551109bd82b118e784ef30f1dee",
-      "bytes": 343205,
-      "rows": 12,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006964-n000004-0000-aabe568686d399ea.parquet",
-      "sha256": "aabe568686d399eaab361b601757f9d982551a4563cb9283a56f172bf52e7fbd",
-      "bytes": 101467,
-      "rows": 6,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006965.lean\",\"8d2115ed655c00e73296e521c3ccfe42b11a159ca7e70d51ab12fc2cdd12f373\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006966.lean\",\"dba7baa02f9f16ed534394a22088668694b2a0b3836f699d939961e09e346600\",0,\"lean_workbook_plus_59946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006967.lean\",\"2608d4713e6a5c360bd3542741b0690392a39b00ae0233471a687aef48061267\",0,\"lean_workbook_plus_15437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343205,
+      "path": "data/train/pe0/oproofs-s00002-r00006964-n000004-0000-b893ce6754351edd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b893ce6754351eddb7ea5bfc099fb08959cab551109bd82b118e784ef30f1dee"
+    },
+    {
+      "bytes": 101467,
+      "path": "data/internal_test/pe0/oproofs-s00002-r00006964-n000004-0000-aabe568686d399ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aabe568686d399eaab361b601757f9d982551a4563cb9283a56f172bf52e7fbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006968-n000004.json b/manifests/batches/oproofs/s00002-r00006968-n000004.json
index a02df2849a2ad3fb50ffd4427716df228f6f0346..fdaeb3167d5b61bfd0a5d0ac8a2b34c28a3ee451 100644
--- a/manifests/batches/oproofs/s00002-r00006968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006968-n000004",
   "batch_fingerprint": "a9b07c64d0c90fa5343efb114a1a7fc46ba7499330fba265ba95dc8eaf21f6d3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006968-n000004-0000-8d4cdb70e803cb9f.parquet",
-      "sha256": "8d4cdb70e803cb9f40752e5c26e56a39168a1f871c567c9092c7d84af0bcd714",
-      "bytes": 230323,
-      "rows": 15,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00006968-n000004-0000-350ce8ebd3c7c40f.parquet",
-      "sha256": "350ce8ebd3c7c40fcb13c2d53432c4eebe0719aafef01335fdabc781980bd7f2",
-      "bytes": 48727,
-      "rows": 2,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006969.lean\",\"ca8c176630f204a47905dd83341a1f879ef5bc289b1f6448cab6e61146ee1dd4\",0,\"lean_workbook_plus_30570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006970.lean\",\"06e3fafbe549e04e30b6f37eab96e538830e8b4aa3a43bd09aa9da17e089c0d9\",0,\"lean_workbook_plus_35179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006971.lean\",\"267a82cd87e2d6e22b79ef8f15b5f41f35c4de1324e1d910df94707f71b4cc26\",0,\"prove_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 230323,
+      "path": "data/train/p3d/oproofs-s00002-r00006968-n000004-0000-8d4cdb70e803cb9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8d4cdb70e803cb9f40752e5c26e56a39168a1f871c567c9092c7d84af0bcd714"
+    },
+    {
+      "bytes": 48727,
+      "path": "data/internal_test/p3d/oproofs-s00002-r00006968-n000004-0000-350ce8ebd3c7c40f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "350ce8ebd3c7c40fcb13c2d53432c4eebe0719aafef01335fdabc781980bd7f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006972-n000004.json b/manifests/batches/oproofs/s00002-r00006972-n000004.json
index be1d6f9a9e1aa197b41e74e4123e0400aadacbbe..984bb91eb11dbda7818f70d3a24908d6b19979b4 100644
--- a/manifests/batches/oproofs/s00002-r00006972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006972-n000004",
   "batch_fingerprint": "dc9b412b44b8e01d374c1f21f1d8fc053d029c2e07732a397631039f6321e1d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006972-n000004-0000-7cf703915b1d1ea2.parquet",
-      "sha256": "7cf703915b1d1ea28c2ba086d87e97a2fe3e15fcd10ad88eb8dcec9dbbeb3410",
-      "bytes": 528137,
-      "rows": 21,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006973.lean\",\"a0ad42431a027ed46de3cd57c8e0992002c68821af10e4a7ab0bf8d7fe6f0227\",0,\"lean_workbook_plus_82162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006974.lean\",\"a74000b618939a2dbededad41e2a0d8f7655e589c86147bee490f3fab59b5908\",0,\"lean_workbook_plus_82106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006975.lean\",\"3c08e8eba8841ebcf01086970a94bf7fb692a1c966f1616f5972e1ae48e3e369\",0,\"lean_workbook_plus_64816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 528137,
+      "path": "data/train/pc9/oproofs-s00002-r00006972-n000004-0000-7cf703915b1d1ea2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7cf703915b1d1ea28c2ba086d87e97a2fe3e15fcd10ad88eb8dcec9dbbeb3410"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006976-n000004.json b/manifests/batches/oproofs/s00002-r00006976-n000004.json
index 6cfebde35263f556c5b97d6c607ef1e22f9947e2..4aa7898242b9b816e087edb5075b317dd3daa824 100644
--- a/manifests/batches/oproofs/s00002-r00006976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006976-n000004",
   "batch_fingerprint": "47fbe6602dbd98f12771791619daf0faf8aae2e18e36a7e9acd7ad01c33bac56",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006976-n000004-0000-9176b66bb2fbc047.parquet",
-      "sha256": "9176b66bb2fbc04727ca39cab89c90080c3ac55aba1af006be293de1aba7aceb",
-      "bytes": 99797,
-      "rows": 11,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6978",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006976.lean\",\"aaf810252d9289e8c4daf88ef55efc97c2335d7b386c1dfd00c326d83ee42fd1\",0,\"lean_workbook_plus_37029\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006978.lean\",\"8544a414ace881b06ce8981a6a50b10c7f4f5bfb6847a81048bd0b7976e5eb67\",0,\"lean_workbook_plus_79569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006979.lean\",\"621d71f648921c53fab714793b301b4a4158a083e0592c35a94a3e2e0598cd8f\",0,\"sets_intersection_complement_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99797,
+      "path": "data/train/pbd/oproofs-s00002-r00006976-n000004-0000-9176b66bb2fbc047.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9176b66bb2fbc04727ca39cab89c90080c3ac55aba1af006be293de1aba7aceb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006980-n000004.json b/manifests/batches/oproofs/s00002-r00006980-n000004.json
index bed30895b9ec2412a88800c703d1e1c9086171ca..44f25ff451ad4780782042fa2fcce06eec3f8508 100644
--- a/manifests/batches/oproofs/s00002-r00006980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006980-n000004",
   "batch_fingerprint": "b7a470e7ce1913fa9cf9c4cf0ad943e834e61fe6c2f7eb74cba3d443a29055c5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006980-n000004-0000-c59506c4f3e8fd4f.parquet",
-      "sha256": "c59506c4f3e8fd4ff983fde3a0de854a17fae8d3b41711b9d8a732ea891feee9",
-      "bytes": 428912,
-      "rows": 19,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006981.lean\",\"ed7a1d3f5110b22765c19ec15430b2b9cd665f221649cb1e62654bccd0a39cae\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006982.lean\",\"ad146d387e0af75302fd7b39641ae4778730cb8015cd693daced37768438e517\",0,\"lean_workbook_plus_69440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006983.lean\",\"a67bd4df53eaf540cb1aca4ac700c9f3b33c69d7b958b395ade87df0249adda6\",0,\"lean_workbook_plus_12622\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428912,
+      "path": "data/train/p06/oproofs-s00002-r00006980-n000004-0000-c59506c4f3e8fd4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c59506c4f3e8fd4ff983fde3a0de854a17fae8d3b41711b9d8a732ea891feee9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006984-n000004.json b/manifests/batches/oproofs/s00002-r00006984-n000004.json
index e4d9cac951ef8190e95b62a534d42ca831ec7c12..82844b0824e25019f0e8337332ead21c6c98cced 100644
--- a/manifests/batches/oproofs/s00002-r00006984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006984-n000004",
   "batch_fingerprint": "49b5b725e5f8a57624b1380b3b6fa9508b75228f2dc769c4621897ea92d8668c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006984-n000004-0000-448202b06a02426a.parquet",
-      "sha256": "448202b06a02426a5b7fc486738012fe438e8e64b2b8041a7bcaea55d890d0c2",
-      "bytes": 580821,
-      "rows": 15,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006985.lean\",\"020c585268911795438e662f3572271eb9b87b98044b060f0579b1e09905341b\",0,\"lean_workbook_plus_32572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006986.lean\",\"a28eb2be60030b59b9208de300dbe6ba96acb89c045d07b23b6dbb0164971181\",0,\"lean_workbook_plus_38390\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006987.lean\",\"63ed6b63a8e5ab5b966ddcc32875549bce834f5c4fdf600015c2510103856422\",0,\"lean_workbook_plus_40159\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 580821,
+      "path": "data/train/pe2/oproofs-s00002-r00006984-n000004-0000-448202b06a02426a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "448202b06a02426a5b7fc486738012fe438e8e64b2b8041a7bcaea55d890d0c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006988-n000004.json b/manifests/batches/oproofs/s00002-r00006988-n000004.json
index ff834d55c85231b0c798409d571036c19cb66eb1..5cebc27d17824c2c2d4102a1affa07d3cd53218c 100644
--- a/manifests/batches/oproofs/s00002-r00006988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006988-n000004",
   "batch_fingerprint": "d515627bbbf6b758d49c382073d6c4ea1cad6a0d8ee429be3b1e6f220e03494c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006988-n000004-0000-ef7fb4b67ecb392a.parquet",
-      "sha256": "ef7fb4b67ecb392a1cc8d12bd168b66c6c6d61f20ed778a4276f17ac431cab85",
-      "bytes": 828242,
-      "rows": 27,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006989.lean\",\"1998c37d90b1815a0422ffca8c37b30d0074babd211c49838f58074400a7cbf6\",0,\"lean_workbook_plus_14588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006990.lean\",\"51b48fc29cb32d985335cb93620b3f9049ea4bc8b5fe9673db8e835c160f9f42\",0,\"lean_workbook_plus_69967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006991.lean\",\"5ad0595a327cbc30f246069d6d972a10fc6d62200941f65088e6b307657cab3e\",0,\"lean_workbook_plus_10851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 828242,
+      "path": "data/train/p9d/oproofs-s00002-r00006988-n000004-0000-ef7fb4b67ecb392a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "ef7fb4b67ecb392a1cc8d12bd168b66c6c6d61f20ed778a4276f17ac431cab85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006992-n000004.json b/manifests/batches/oproofs/s00002-r00006992-n000004.json
index 90edf94e9577913f30adb58a27795f23592b3a5c..4b1c8e47727208a1e2e87d661b120f99e9429242 100644
--- a/manifests/batches/oproofs/s00002-r00006992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006992-n000004",
   "batch_fingerprint": "79d35a7b017b79199a1ed0cfba6a627a208e2931a791becb364cfd6f22726f05",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006992-n000004-0000-b24df5c9716d3371.parquet",
-      "sha256": "b24df5c9716d337170b39b7155b2890f68afc3fa19eb55d415919614c5dee73d",
-      "bytes": 668970,
-      "rows": 17,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6993",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006993.lean\",\"13cda4ad0ed56aefea81dc592aa545a8462f6a1a32cf3c142b9abd21f8d150fe\",0,\"lean_workbook_plus_78094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006994.lean\",\"b40eda5e74d79e0976227bff4b324e7aed10067aefe11d7b55eff25fe46146df\",0,\"lean_workbook_plus_53996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006995.lean\",\"7f5b2774765d0ba6a8d196e8f3cb558b208e9e7644f3abcc1dfd6ce0d5a0aa37\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 668970,
+      "path": "data/train/p0e/oproofs-s00002-r00006992-n000004-0000-b24df5c9716d3371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b24df5c9716d337170b39b7155b2890f68afc3fa19eb55d415919614c5dee73d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00006996-n000004.json b/manifests/batches/oproofs/s00002-r00006996-n000004.json
index 717fb323216850320c6bfdb65385a06ba4051f04..9af607a3df2a57fbd16af98a85e514105226dbfd 100644
--- a/manifests/batches/oproofs/s00002-r00006996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00006996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00006996-n000004",
   "batch_fingerprint": "75d6fb6bb9207176286a10e9af4a275efa801712ac20186f0bb6d7d3dd1ef106",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00006996-n000004-0000-49f5cde4e1551d63.parquet",
-      "sha256": "49f5cde4e1551d63da17cec174dbcdd32ba15f23d96b762f9fcdb0177e87b102",
-      "bytes": 277098,
-      "rows": 15,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:6997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006997.lean\",\"6933b6cf8cd5bd32d292840549982835d61b0bd7f85eaccc1e478f00562b5030\",0,\"lean_workbook_plus_46824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006998.lean\",\"000c2370d245db5cd31ac1e087edefdd6d866feede9b507c9bd1ed9d4e9b8c3e\",0,\"lean_workbook_plus_47101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_006999.lean\",\"ca9942ae97e6d2897ef5074fd41c52162b676d3cf4a84de07572f41ec51441f3\",0,\"lean_workbook_plus_44113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277098,
+      "path": "data/train/p28/oproofs-s00002-r00006996-n000004-0000-49f5cde4e1551d63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "49f5cde4e1551d63da17cec174dbcdd32ba15f23d96b762f9fcdb0177e87b102"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007000-n000004.json b/manifests/batches/oproofs/s00002-r00007000-n000004.json
index 837af64417b0a937989f1965c14404483b18e77e..d4af17e1f9b1248413d10e318e443f3997df7b25 100644
--- a/manifests/batches/oproofs/s00002-r00007000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007000-n000004",
   "batch_fingerprint": "b4290ee3365f34fdf111d4e8550c727aa5f8701be060858cd63cc613526f0ccb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007000-n000004-0000-f149ee561aec44b9.parquet",
-      "sha256": "f149ee561aec44b9d6c2818b97a63d84d0926a8edd517afb77267285efa3603a",
-      "bytes": 220235,
-      "rows": 18,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007001.lean\",\"381359ca35d15fc1e9522a6d5dd30cf7831bb94f2c44f2ec26eaf3af533f2d7f\",0,\"lean_workbook_plus_60296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007002.lean\",\"ba71ea00e6d6282b05c822e23c33751c8ef1e82410e7fe7d8c4075cdc2aa657b\",0,\"lean_workbook_43504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007003.lean\",\"b1f468a611219ef08095210b56b32c5913001e86e8ba725b2514f29f684d6fc0\",0,\"lean_workbook_plus_49248\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220235,
+      "path": "data/train/p8f/oproofs-s00002-r00007000-n000004-0000-f149ee561aec44b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f149ee561aec44b9d6c2818b97a63d84d0926a8edd517afb77267285efa3603a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007004-n000004.json b/manifests/batches/oproofs/s00002-r00007004-n000004.json
index b9a3ed56fa870d42b61e3975f21b4776afacc17c..3332f08d99bb2a6e7076ac0959f20ef13c39a798 100644
--- a/manifests/batches/oproofs/s00002-r00007004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007004-n000004",
   "batch_fingerprint": "592fbaa4fda6e2de53252d962f7f4e3625bd7968c76c3227ad5f08749e183464",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007004-n000004-0000-5cf8ff3096cd3b31.parquet",
-      "sha256": "5cf8ff3096cd3b31dfa361fc3ccef0620855a5c816ce9dfa8ff59dc6d8b5ef80",
-      "bytes": 270850,
-      "rows": 18,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7005",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007005.lean\",\"4095907bdef65cd1a50f65d164bd043f8989f623712f77bf98019c3faa053114\",0,\"lean_workbook_plus_74151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007006.lean\",\"5a6fff6a2788db8be95f0ebdde1db086d625a5b6d8cb71b5005b36141ffb1200\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007007.lean\",\"d8ba4a338e61b1167215cfdbe2e9c752a0eb003e8297a7a04dd5f4886d1dc9a9\",0,\"lean_workbook_plus_18627\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270850,
+      "path": "data/train/pac/oproofs-s00002-r00007004-n000004-0000-5cf8ff3096cd3b31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5cf8ff3096cd3b31dfa361fc3ccef0620855a5c816ce9dfa8ff59dc6d8b5ef80"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007008-n000004.json b/manifests/batches/oproofs/s00002-r00007008-n000004.json
index d613ed29926bf69ba04d9a8513a447c3ead3ea2f..ef48c623b24b50a6f89c26961fa9cc9654426d3b 100644
--- a/manifests/batches/oproofs/s00002-r00007008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007008-n000004",
   "batch_fingerprint": "7b55f8a3d9ad1ff832414e4b04b9c71f6d4ecf8a7d7dac7a73fcdd4b7456dc5a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007008-n000004-0000-1d64c2dd6085163b.parquet",
-      "sha256": "1d64c2dd6085163b94fd6ed8b0eb51b8243fa018d08e0019fc6f4bf1e4237f2f",
-      "bytes": 923748,
-      "rows": 20,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007008-n000004-0001-cd535f8101bcfe94.parquet",
-      "sha256": "cd535f8101bcfe94ccf19b28c9465e4cdc55f32a1ba4d9f3e8470b09a2c108f1",
-      "bytes": 502979,
-      "rows": 4,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007009.lean\",\"26d7bc9671fe5272ae92b7ced3b69f1591211a64b40105bb6e033c07d749d413\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007010.lean\",\"353f08dac55bfad9d9aadde4772f64c00ab21b6b7d929ef2f31a0f3d2b3f657b\",0,\"lean_workbook_plus_39459\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007011.lean\",\"1365e286a5121c8fd4035ad511808819f365454f20fb5525078839379cf6b1a5\",0,\"lean_workbook_plus_66629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 923748,
+      "path": "data/train/p9b/oproofs-s00002-r00007008-n000004-0000-1d64c2dd6085163b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "1d64c2dd6085163b94fd6ed8b0eb51b8243fa018d08e0019fc6f4bf1e4237f2f"
+    },
+    {
+      "bytes": 502979,
+      "path": "data/train/p9b/oproofs-s00002-r00007008-n000004-0001-cd535f8101bcfe94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cd535f8101bcfe94ccf19b28c9465e4cdc55f32a1ba4d9f3e8470b09a2c108f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007012-n000004.json b/manifests/batches/oproofs/s00002-r00007012-n000004.json
index ff8877e6474423ca2d38122ddc538e0d584b6fd4..49679ab399a9398c911f431c1a3c68ab6c1d49bc 100644
--- a/manifests/batches/oproofs/s00002-r00007012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007012-n000004",
   "batch_fingerprint": "626e5f20e9f7f7bd530b39e995b9550275d32dae19b583c3a83600ab21b0312a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007012-n000004-0000-a319765bf291c356.parquet",
-      "sha256": "a319765bf291c3564eb88e531acf5a1318d0ff1c3aea18952161eae427cdb710",
-      "bytes": 809816,
-      "rows": 13,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007012-n000004-0001-45f5cf2873fda8b1.parquet",
-      "sha256": "45f5cf2873fda8b1d864c3ba54155705ab334ea197dbc96f00835ccc42932922",
-      "bytes": 165959,
-      "rows": 8,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007013.lean\",\"230d9cc9f969b12388ffa8db943533fe863bc7ee524b2ebc9022fc4c598f0641\",0,\"lean_workbook_21120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007014.lean\",\"6084bb604ce6a5d77dd1801324eb54a1d15d6e55b64df13e05d132814ac31333\",0,\"student_line_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007015.lean\",\"dc5fb9a653ea0d16ac78821a8e2cf9afd97042eaf261fad23303f301286e4f6a\",0,\"lean_workbook_39402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 809816,
+      "path": "data/train/p9e/oproofs-s00002-r00007012-n000004-0000-a319765bf291c356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a319765bf291c3564eb88e531acf5a1318d0ff1c3aea18952161eae427cdb710"
+    },
+    {
+      "bytes": 165959,
+      "path": "data/train/p9e/oproofs-s00002-r00007012-n000004-0001-45f5cf2873fda8b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "45f5cf2873fda8b1d864c3ba54155705ab334ea197dbc96f00835ccc42932922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007016-n000004.json b/manifests/batches/oproofs/s00002-r00007016-n000004.json
index c31c3ffd42ac27fe7ad19820b827fce54e8e3a8a..8778e3b763ae9632e55337fb0f5a2d15feb4ba1e 100644
--- a/manifests/batches/oproofs/s00002-r00007016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007016-n000004",
   "batch_fingerprint": "e32e62e76222e28b8ddbfb6dcedbc37b92b3593474ef083e50488eae708d677b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007016-n000004-0000-2c12f2fe4665e90e.parquet",
-      "sha256": "2c12f2fe4665e90e53901f406d247b360145d8e659f470e13e2d8e75f412d177",
-      "bytes": 98724,
-      "rows": 10,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007016-n000004-0000-1a904f9a612da500.parquet",
-      "sha256": "1a904f9a612da500319abc4bcf8b83fe8d96c50f9175bb87e815d697b98d7b9f",
-      "bytes": 64592,
-      "rows": 6,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007017.lean\",\"5b467ffd85e441902f346672e03d5c707005c43bbb5213118ccc542581ebc21c\",0,\"lean_workbook_plus_47779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007018.lean\",\"0b0b9b94c2b784beb4a6873bc6ce7ba83034c2b008d12145fc6f794534b053e3\",0,\"lean_workbook_plus_72273\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007019.lean\",\"49fcbd2c5b1d1d8c28a56496fba96c3c8da0953c5e0336ebb5a3a2a636472647\",0,\"lean_workbook_plus_43712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98724,
+      "path": "data/train/p7a/oproofs-s00002-r00007016-n000004-0000-2c12f2fe4665e90e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2c12f2fe4665e90e53901f406d247b360145d8e659f470e13e2d8e75f412d177"
+    },
+    {
+      "bytes": 64592,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00007016-n000004-0000-1a904f9a612da500.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1a904f9a612da500319abc4bcf8b83fe8d96c50f9175bb87e815d697b98d7b9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007020-n000004.json b/manifests/batches/oproofs/s00002-r00007020-n000004.json
index a71738e85eac937e54d309387fc3d5bdd9622918..4031fcb4a5d3c839a22c5646947fd90f65a57314 100644
--- a/manifests/batches/oproofs/s00002-r00007020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007020-n000004",
   "batch_fingerprint": "361f2e87c3bcf20d38bb4860e96025b1cc4f71040c3b045743b9ce22acb8ae9a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007020-n000004-0000-bf2c45b9faa75b3f.parquet",
-      "sha256": "bf2c45b9faa75b3fa4a472c33dd40c410b4a54850e0cc9f5df889e50d9735c12",
-      "bytes": 129359,
-      "rows": 11,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007021.lean\",\"18743a155ce115b48862b9c96ed867fd8d32795e4a8895bc5b31fe4ee0ff8f3c\",0,\"lean_workbook_plus_21902\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007022.lean\",\"70685a8e6e29fa972af43426b845b74a5d8f90b636b30acbd9ff1ce5dcddc3db\",0,\"lean_workbook_plus_17010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007023.lean\",\"33441089fe03a72fda0949b2b096525bb05692091ada583f66fe449edab5250f\",0,\"lean_workbook_plus_39077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129359,
+      "path": "data/train/pda/oproofs-s00002-r00007020-n000004-0000-bf2c45b9faa75b3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bf2c45b9faa75b3fa4a472c33dd40c410b4a54850e0cc9f5df889e50d9735c12"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007024-n000004.json b/manifests/batches/oproofs/s00002-r00007024-n000004.json
index d85b23b0c8c18186b2bd3b079732bddc3772e8b3..64589c6c75be1070ffa8904ff290857a44e85dd5 100644
--- a/manifests/batches/oproofs/s00002-r00007024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007024-n000004",
   "batch_fingerprint": "e7c3dea666d417bcad54754bcaa07ebe6177091b87ac38272fd59fe0366d4e7c",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7024",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7025",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7026",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7027"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007024.lean\",\"d5ab58218f84664578f9df40025c23765c3e12bb2886eb7309912e1811ca195c\",0,\"lean_workbook_plus_75634\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007025.lean\",\"c9d3ee90dfafd6b87febdb09cd8632148d9f8463c3296d59515dc665cf60ef55\",0,\"lean_workbook_plus_48966\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007026.lean\",\"91600241697cf88a8c3d20a34b5e524a8a6ffa21620312c470a32492df38da3d\",0,\"lean_workbook_plus_54206\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007027.lean\",\"cdf98c0475e1300c846505576630b025a5c2dd6f31b94183d028ad2d77ebf8f5\",0,\"lean_workbook_plus_29025\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007024-n000004-0000-fc243b3e52cdeca4.parquet",
-      "sha256": "fc243b3e52cdeca4924122f6a0483bcb128b58afe43db23cae35f8a327d9a5a2",
       "bytes": 36990,
+      "path": "data/train/pcb/oproofs-s00002-r00007024-n000004-0000-fc243b3e52cdeca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
+      "sha256": "fc243b3e52cdeca4924122f6a0483bcb128b58afe43db23cae35f8a327d9a5a2"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007024-n000004-0000-6dcf03291ba3530c.parquet",
-      "sha256": "6dcf03291ba3530c59a55cdd1ddb8e0ace0815b990541923ad86688c12a346bb",
       "bytes": 86804,
+      "path": "data/dev/pcb/oproofs-s00002-r00007024-n000004-0000-6dcf03291ba3530c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
+      "sha256": "6dcf03291ba3530c59a55cdd1ddb8e0ace0815b990541923ad86688c12a346bb"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007024-n000004-0000-742a7c6aeeae790f.parquet",
-      "sha256": "742a7c6aeeae790f62acee42303f11e37aa8a1c8d851b0fa862e53e912be5e05",
       "bytes": 104717,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00007024-n000004-0000-742a7c6aeeae790f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
+      "sha256": "742a7c6aeeae790f62acee42303f11e37aa8a1c8d851b0fa862e53e912be5e05"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7024",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7025",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7026",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7027"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007024.lean\",\"d5ab58218f84664578f9df40025c23765c3e12bb2886eb7309912e1811ca195c\",0,\"lean_workbook_plus_75634\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007025.lean\",\"c9d3ee90dfafd6b87febdb09cd8632148d9f8463c3296d59515dc665cf60ef55\",0,\"lean_workbook_plus_48966\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007026.lean\",\"91600241697cf88a8c3d20a34b5e524a8a6ffa21620312c470a32492df38da3d\",0,\"lean_workbook_plus_54206\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007027.lean\",\"cdf98c0475e1300c846505576630b025a5c2dd6f31b94183d028ad2d77ebf8f5\",0,\"lean_workbook_plus_29025\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007028-n000004.json b/manifests/batches/oproofs/s00002-r00007028-n000004.json
index 4e1d35e8e7a6f571dcd1b0e56aec09b8ecd06482..0b72a03c13eb4fa26e472be8f3d7fd5ea46f5740 100644
--- a/manifests/batches/oproofs/s00002-r00007028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007028-n000004",
   "batch_fingerprint": "e216fe893e30d944afeb46d6d3450a5bc61e30c959621fc12b47ec18f8abc5a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007028-n000004-0000-3a4a255bf54aa6de.parquet",
-      "sha256": "3a4a255bf54aa6de932d3f46f3b391f5ed5ea62fd5e4d408a9bd3f1f76a5826a",
-      "bytes": 303180,
-      "rows": 18,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007028-n000004-0000-3ee69ea677608484.parquet",
-      "sha256": "3ee69ea677608484e763f0359d7c4d1c7f09f74c46c2514412c2c02dc122130e",
-      "bytes": 272624,
-      "rows": 10,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007029.lean\",\"bf7b2fe4bae65a71f87ab0eda5a2512a6a7f38238b97fedda416fd401ba5cd18\",0,\"lean_workbook_50107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007030.lean\",\"f14109a4ebc08b1ccb7b267f781871d1f8640cba1f7fc56e7ba5c1e1039e01d3\",0,\"lean_workbook_plus_66743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007031.lean\",\"d7ecd84ce471efa7b49646db9af622587e2f3544949ab9ff03bc105296f29117\",0,\"lean_workbook_37813\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303180,
+      "path": "data/train/p79/oproofs-s00002-r00007028-n000004-0000-3a4a255bf54aa6de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3a4a255bf54aa6de932d3f46f3b391f5ed5ea62fd5e4d408a9bd3f1f76a5826a"
+    },
+    {
+      "bytes": 272624,
+      "path": "data/internal_test/p79/oproofs-s00002-r00007028-n000004-0000-3ee69ea677608484.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3ee69ea677608484e763f0359d7c4d1c7f09f74c46c2514412c2c02dc122130e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007032-n000004.json b/manifests/batches/oproofs/s00002-r00007032-n000004.json
index fb114278bf8a0b6df1d6e8816b7e7e421c0e7989..7a4650428598c73bf5d587b0b17167ed4ceb33cf 100644
--- a/manifests/batches/oproofs/s00002-r00007032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007032-n000004",
   "batch_fingerprint": "c7cb867bef9ba98246ac39c0e2e6921498889d53124fcddd87a9a77ca912b657",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007032-n000004-0000-9301485ec72b5005.parquet",
-      "sha256": "9301485ec72b5005c8a89660d329e5e9ee36a72914bac1e3a89631862ddeaaa1",
-      "bytes": 214888,
-      "rows": 14,
-      "revision": "95a7e0e87f196da3d3fc421480df9d3ec1ace8e7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7033",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007033.lean\",\"0247a6f0242ef5782072a0a8355e1a88050f9cb6269ab3b29e7a5e52456f3ecc\",0,\"lean_workbook_plus_45490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007034.lean\",\"0c67ba1cf13122a957019bf13f73be72ffe893ddb4849dcde3fe51cc5b973157\",0,\"lean_workbook_17147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007035.lean\",\"2e6c34db6d1dedd9b14e084be17d718675a5bf524078eaced7cee3930fb5f474\",0,\"lean_workbook_plus_48608\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214888,
+      "path": "data/train/p68/oproofs-s00002-r00007032-n000004-0000-9301485ec72b5005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9301485ec72b5005c8a89660d329e5e9ee36a72914bac1e3a89631862ddeaaa1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007036-n000004.json b/manifests/batches/oproofs/s00002-r00007036-n000004.json
index 7d2560527e6b2cf3764b727b0c9200ca09bef54e..b81caa479a3cf6a5f34d1f1c850d9c5c6b75d1ca 100644
--- a/manifests/batches/oproofs/s00002-r00007036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007036-n000004",
   "batch_fingerprint": "ec19142e56aecfea9b8289afdfb7bd6e728e057dbabb3dde207294e50be97c89",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007036-n000004-0000-20d61a24bc7212e3.parquet",
-      "sha256": "20d61a24bc7212e34c6407d404449eed9c0b8a93b6a7593ac587fc43127502f8",
-      "bytes": 576473,
-      "rows": 18,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007036-n000004-0000-1b9201d355d8b313.parquet",
-      "sha256": "1b9201d355d8b313dfa55ec675a19e1f43ee88a2a816897fad18b5a69f5b1575",
-      "bytes": 31336,
-      "rows": 2,
-      "revision": "755ce734e2858226006fd20f963edd32446661e6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7037",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007037.lean\",\"8ff627622aa17e051d8d93bdf9e733bdf864d3c8d3689dc118eb1014049d99b7\",0,\"lean_workbook_plus_17972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007038.lean\",\"85018fa96e27ea0e953702a1487f7d81b3377d19afcc14f8b3bba9380c2f270c\",0,\"lean_workbook_plus_74320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007039.lean\",\"760ef8b281dd80987e391201acea78315bfdfa3d69621e22ba992206159b9bcc\",0,\"lean_workbook_plus_47866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576473,
+      "path": "data/train/pe2/oproofs-s00002-r00007036-n000004-0000-20d61a24bc7212e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "20d61a24bc7212e34c6407d404449eed9c0b8a93b6a7593ac587fc43127502f8"
+    },
+    {
+      "bytes": 31336,
+      "path": "data/internal_test/pe2/oproofs-s00002-r00007036-n000004-0000-1b9201d355d8b313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1b9201d355d8b313dfa55ec675a19e1f43ee88a2a816897fad18b5a69f5b1575"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007040-n000004.json b/manifests/batches/oproofs/s00002-r00007040-n000004.json
index 1818e3c74ba1e3c4e24d898f67f0bb0b25cf575d..07aaa3a39d512b2b338fa6e55c62e0a2bf820808 100644
--- a/manifests/batches/oproofs/s00002-r00007040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007040-n000004",
   "batch_fingerprint": "f51fee350d7cf26ff9080a747a3d28be6acd346d874606ee2dbc79bbc28c4b95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007040-n000004-0000-966a99b6c05b1e2a.parquet",
-      "sha256": "966a99b6c05b1e2a5ff75db41c7e0b470da7466cb13eb8fda2e0d12a8ee16ba9",
-      "bytes": 143433,
-      "rows": 11,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007041.lean\",\"cca72353d1af84ec1f4f6a5928fa5674cf85a050c43f3e147dd88623e19e5464\",0,\"lean_workbook_plus_69833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007042.lean\",\"7b9c58cade594ba439f6dca8ab223ece0c548b1b18fcb5b96808461cd7384dd5\",0,\"lean_workbook_38731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007043.lean\",\"b99ddfb09e3008fa86461938b14403291ca2a8984b8b7a6cb494c779aba53a59\",0,\"lean_workbook_plus_58887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143433,
+      "path": "data/train/p3f/oproofs-s00002-r00007040-n000004-0000-966a99b6c05b1e2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "966a99b6c05b1e2a5ff75db41c7e0b470da7466cb13eb8fda2e0d12a8ee16ba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007044-n000004.json b/manifests/batches/oproofs/s00002-r00007044-n000004.json
index fd9d6e40479820b88fd93916e6300d11a90ff984..267f131ba14b908bb11e3e34af8f12c013b4823d 100644
--- a/manifests/batches/oproofs/s00002-r00007044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007044-n000004",
   "batch_fingerprint": "455263c39a0baa24605d7e29fcc56d8de71a91faada45ecc666b6e404d411093",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007044-n000004-0000-e7dad5650e862c55.parquet",
-      "sha256": "e7dad5650e862c55ddfcccf8c7727472a913202b2e28823ad8c608428a924f04",
-      "bytes": 177799,
-      "rows": 15,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7045",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007045.lean\",\"adf130f671724e28016f693f31e3853de837b65c6188a4fb636c4ddb84d34de0\",0,\"lean_workbook_56106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007046.lean\",\"c152c870468863a25e1faeefdd34cdbdd46f7f8dedda5e7145e57d4fa75e616b\",0,\"lean_workbook_plus_62730\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007047.lean\",\"0192e358e5f73a607ef6a0019dba8e3a9b798036b904da9421f732374a8c02a8\",0,\"lean_workbook_plus_82167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177799,
+      "path": "data/train/p3a/oproofs-s00002-r00007044-n000004-0000-e7dad5650e862c55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e7dad5650e862c55ddfcccf8c7727472a913202b2e28823ad8c608428a924f04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007048-n000004.json b/manifests/batches/oproofs/s00002-r00007048-n000004.json
index 6fd96d3473b6e8c51585f7650b3c7639be367b44..367b7bc66d22a49bb2ff0aa06a0ba4acce8f855e 100644
--- a/manifests/batches/oproofs/s00002-r00007048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007048-n000004",
   "batch_fingerprint": "92034f9748e8d040191d07e8815fba680065e1b37438c5e76c8f6f865d2e60db",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007048-n000004-0000-dee79f4faa1a0e42.parquet",
-      "sha256": "dee79f4faa1a0e425c688af0a0bf0c6a62b2b2f30ab98ac59813398e71907e80",
-      "bytes": 103556,
-      "rows": 13,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007048-n000004-0000-03c88efb818861c5.parquet",
-      "sha256": "03c88efb818861c5f9d3f25834ac5c9fc8f5ff2393851068641aa2c58bb49d70",
-      "bytes": 68501,
-      "rows": 3,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007049.lean\",\"37c96ae02818c181a2ce6fb30e13b3f24d47936531691d265302644861ab58ce\",0,\"lean_workbook_plus_76122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007050.lean\",\"dc4c467f0d912188d45286c70a53606e1ceb5d2113c8d8bdfab28bac34d668aa\",0,\"lean_workbook_37605\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007051.lean\",\"465b950d3dcf6c8ebf5846f6e6a98b2041962acd4c9a32b8d053f9876b9f6148\",0,\"sixth_power_of_complex_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103556,
+      "path": "data/train/pef/oproofs-s00002-r00007048-n000004-0000-dee79f4faa1a0e42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dee79f4faa1a0e425c688af0a0bf0c6a62b2b2f30ab98ac59813398e71907e80"
+    },
+    {
+      "bytes": 68501,
+      "path": "data/internal_test/pef/oproofs-s00002-r00007048-n000004-0000-03c88efb818861c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "03c88efb818861c5f9d3f25834ac5c9fc8f5ff2393851068641aa2c58bb49d70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007052-n000004.json b/manifests/batches/oproofs/s00002-r00007052-n000004.json
index 3c4f563e8d191ca96b994f4df35ef5b775a438f8..f282f63d213e12fabb2a46c5decb21f765e99cca 100644
--- a/manifests/batches/oproofs/s00002-r00007052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007052-n000004",
   "batch_fingerprint": "71a543668b111b642d40657763a345ddf4e092f5be08e583a43530aebbfb8ca5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007052-n000004-0000-3726fe8aad3f1f0d.parquet",
-      "sha256": "3726fe8aad3f1f0d97ad1083e31b0fec7cb06a9806b3c98168fcbb5c3f8fc6b4",
-      "bytes": 279006,
-      "rows": 20,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007052-n000004-0000-8880fc0cf23ebfa2.parquet",
-      "sha256": "8880fc0cf23ebfa2097972fae15e703670c4daee2c70c580c0d15fe90d84d04a",
-      "bytes": 47350,
-      "rows": 5,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7053",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007053.lean\",\"05ee5385575ff2f379247f921d650ca6446b48cf3cd9753414a700a4d7a5da47\",0,\"lean_workbook_plus_19421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007054.lean\",\"3ea9cd1d5e62c45a552647f5eb43704da77881c0fb4e449448c1c962bc70280a\",0,\"lean_workbook_22913\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007055.lean\",\"9a00179deb27bd0c80138a527b5406b9a42ab6f2ac7f127c9acfafd1ccacbaea\",0,\"lean_workbook_plus_3090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279006,
+      "path": "data/train/pdd/oproofs-s00002-r00007052-n000004-0000-3726fe8aad3f1f0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3726fe8aad3f1f0d97ad1083e31b0fec7cb06a9806b3c98168fcbb5c3f8fc6b4"
+    },
+    {
+      "bytes": 47350,
+      "path": "data/dev/pdd/oproofs-s00002-r00007052-n000004-0000-8880fc0cf23ebfa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8880fc0cf23ebfa2097972fae15e703670c4daee2c70c580c0d15fe90d84d04a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007056-n000004.json b/manifests/batches/oproofs/s00002-r00007056-n000004.json
index e53b75ea5d26f7f46937fc5a0efbdc9d46e7368d..ffa0486a12b617b37536824dbc8235e1ff717d19 100644
--- a/manifests/batches/oproofs/s00002-r00007056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007056-n000004",
   "batch_fingerprint": "b3d0343424d2b4d6bf1a3f19569b37319b696c5d89f553dbf508cfd7b9d5892f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007056-n000004-0000-2f16a3e447eb2011.parquet",
-      "sha256": "2f16a3e447eb20118123aca6ea7d79a7b353206cb61a4b155c34bf0c8c52cb8b",
-      "bytes": 76769,
-      "rows": 10,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007056-n000004-0000-7499210caa2b1cf4.parquet",
-      "sha256": "7499210caa2b1cf476733ad6243b9c377af931c8f4223781e39fb82865096498",
-      "bytes": 96664,
-      "rows": 2,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007057.lean\",\"3e6c64c9d72cacb9e7442156e88b498935c2476d70fb81a117c17a1c6f3ada0b\",0,\"lean_workbook_plus_5548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007058.lean\",\"ce514621e54dbca29b654cd9c884f02f4c124fe9243df6b24ae0655c9881d48f\",0,\"carpet_dimensions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007059.lean\",\"11cbb3f416798a8bae7e67659115a84d82e2479b7346195bcd82057063e7febd\",0,\"lean_workbook_51829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76769,
+      "path": "data/train/p21/oproofs-s00002-r00007056-n000004-0000-2f16a3e447eb2011.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2f16a3e447eb20118123aca6ea7d79a7b353206cb61a4b155c34bf0c8c52cb8b"
+    },
+    {
+      "bytes": 96664,
+      "path": "data/internal_test/p21/oproofs-s00002-r00007056-n000004-0000-7499210caa2b1cf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7499210caa2b1cf476733ad6243b9c377af931c8f4223781e39fb82865096498"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007060-n000004.json b/manifests/batches/oproofs/s00002-r00007060-n000004.json
index 925f349a5dddf5340e2d14cafd82513517ef25bf..d8b6f8a9021de1fe150ac7576193bc0959639abb 100644
--- a/manifests/batches/oproofs/s00002-r00007060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007060-n000004",
   "batch_fingerprint": "1731d6acc892d6d3dfe1926adaa61e2c06fa8a7eb20f2e5e2e0ddb620255751d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007060-n000004-0000-2e4b12886d02c626.parquet",
-      "sha256": "2e4b12886d02c626ec767c84521459d49c8cee8aecb631b33077be55946ab156",
-      "bytes": 194325,
-      "rows": 19,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007061.lean\",\"3c172968f2c890ecd874df59db1a668ec6df18ca0c339506539723eba974ad1e\",0,\"lean_workbook_plus_63994\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007062.lean\",\"859c7cd8ecb16d3155cf8a03d72678e433dfeaeaf55fedd1ce204941c14c2f6d\",0,\"lean_workbook_plus_21693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007063.lean\",\"dcaf7e4604110d72e1820241e8d9156d02071ca5df5cd9476cca0b6c39a0679b\",0,\"lean_workbook_42600\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194325,
+      "path": "data/train/p63/oproofs-s00002-r00007060-n000004-0000-2e4b12886d02c626.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2e4b12886d02c626ec767c84521459d49c8cee8aecb631b33077be55946ab156"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007064-n000004.json b/manifests/batches/oproofs/s00002-r00007064-n000004.json
index 1131abbe4a8af91810726fa49aad477b9aab67af..fa47e5803df09a91f74ff1eab0437d12e9538939 100644
--- a/manifests/batches/oproofs/s00002-r00007064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007064-n000004",
   "batch_fingerprint": "e133aa7852840f3fe473b9bfad30813baaee99dc6e6670a5a8ba25714eae447b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007064-n000004-0000-e3c8643bd843e877.parquet",
-      "sha256": "e3c8643bd843e877697a26cafc4549687129a66c72a8038f5ac9fea1394c52dc",
-      "bytes": 77058,
-      "rows": 9,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007064-n000004-0000-d55d0ff5e4fa8b3c.parquet",
-      "sha256": "d55d0ff5e4fa8b3c0976e98a156cd4c8117ee8ff5eee1d4a5ff79b45cb530f2e",
-      "bytes": 88014,
-      "rows": 7,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007065.lean\",\"b4cdf6b77beca8eca9561bcd99f6487f8d735f40e3831e81ab209600e55a7f59\",0,\"lean_workbook_plus_50102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007066.lean\",\"4c356b6a307423fda617d6243862a5cf6dc3e40e09506df16e7c2fe05d76784b\",0,\"weight_increase_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007067.lean\",\"25346e1edd9a39864e01dbea72367bf49e794f98c77f8aad955624cb07b19c33\",0,\"lean_workbook_10048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77058,
+      "path": "data/train/p73/oproofs-s00002-r00007064-n000004-0000-e3c8643bd843e877.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e3c8643bd843e877697a26cafc4549687129a66c72a8038f5ac9fea1394c52dc"
+    },
+    {
+      "bytes": 88014,
+      "path": "data/internal_test/p73/oproofs-s00002-r00007064-n000004-0000-d55d0ff5e4fa8b3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d55d0ff5e4fa8b3c0976e98a156cd4c8117ee8ff5eee1d4a5ff79b45cb530f2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007068-n000004.json b/manifests/batches/oproofs/s00002-r00007068-n000004.json
index b3eff1d716f3625805d031140e90da1ffb717d79..4d112c1115838a176724a97c07019899e4232e15 100644
--- a/manifests/batches/oproofs/s00002-r00007068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007068-n000004",
   "batch_fingerprint": "9a341853391e5a121161aa8569cf454c0a236a4189da867193656c78a1b361d0",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000007/oproofs-s00002-r00007068-n000004-0000-cf76ae3593f2cc95.parquet",
-      "sha256": "cf76ae3593f2cc95937748ce85028a1a360de02bd1aace8d72d943d2d48cb696",
-      "bytes": 319633,
-      "rows": 7,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000007/oproofs-s00002-r00007068-n000004-0000-a06c71065208aa49.parquet",
-      "sha256": "a06c71065208aa49aeaa50a0ab61302105c1e47b2a01171b9018128a0c861365",
-      "bytes": 133828,
-      "rows": 3,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7069",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007068.lean\",\"7ce3c0ea53a82409c6ad1e4faf0d94da00f8b4132132813426cd79c4e5415c14\",0,\"lean_workbook_plus_37938\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007069.lean\",\"e3256a5143614c5187f763cfb439e381c288043443221fdf2fcee282af68fa27\",0,\"lean_workbook_48059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007071.lean\",\"4a904da61ec3f42dd642e8212b0cc5e18d26e4c0e74440ec640759eefd0df9a2\",0,\"lean_workbook_plus_75005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319633,
+      "path": "data/train/p35/oproofs-s00002-r00007068-n000004-0000-cf76ae3593f2cc95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cf76ae3593f2cc95937748ce85028a1a360de02bd1aace8d72d943d2d48cb696"
+    },
+    {
+      "bytes": 133828,
+      "path": "data/dev/p35/oproofs-s00002-r00007068-n000004-0000-a06c71065208aa49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a06c71065208aa49aeaa50a0ab61302105c1e47b2a01171b9018128a0c861365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007072-n000004.json b/manifests/batches/oproofs/s00002-r00007072-n000004.json
index 6f409f473d19b95058506ee2ea42f3581f726cd0..95b66f62a2577a3a341de0dd4a5c44ed16cc055a 100644
--- a/manifests/batches/oproofs/s00002-r00007072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007072-n000004",
   "batch_fingerprint": "9953192cac7de4bb53630922a73e2f6c478c06ac908afca238609fa8082e5c1f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007072-n000004-0000-6fe3730b47c2ba39.parquet",
-      "sha256": "6fe3730b47c2ba3987110110978c1bb4333f35f24e03029ec492f6b1a6305504",
-      "bytes": 101548,
-      "rows": 12,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007073.lean\",\"75d2f26f3294549238d2e18d9b077cceb86920ec5431a926e4f763956894fe53\",0,\"lean_workbook_39402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007074.lean\",\"44e2edb144fe31968455efe8f28ea38c340ef6d61713cb6966d064c53e0161bd\",0,\"lean_workbook_plus_47779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007075.lean\",\"69aaca24930ffb560e11da27dd112f985455f097b5db5a04031e3a53c2b655e0\",0,\"lean_workbook_10565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101548,
+      "path": "data/train/pb6/oproofs-s00002-r00007072-n000004-0000-6fe3730b47c2ba39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6fe3730b47c2ba3987110110978c1bb4333f35f24e03029ec492f6b1a6305504"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007076-n000004.json b/manifests/batches/oproofs/s00002-r00007076-n000004.json
index 92aa210acd05625ca2632c47f9a95302de880d2d..76f2766b9f7bf6088375e6661878c1b6afd6798b 100644
--- a/manifests/batches/oproofs/s00002-r00007076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007076-n000004",
   "batch_fingerprint": "10f419ce4a04b5adbe071c7c037d029e95c328a9925f45e27a8163db9b0d5bed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007076-n000004-0000-cffb1ac21b637d7e.parquet",
-      "sha256": "cffb1ac21b637d7e7e85b5da0cf4aae44054a3c1cfd58da1cab7ce2c2b9bb8e3",
-      "bytes": 66364,
-      "rows": 8,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007076-n000004-0000-1e2b9eaa9e7d2e26.parquet",
-      "sha256": "1e2b9eaa9e7d2e26d5a622f7350a2f1aa693a963e78b4886edf2f90fd4bae95a",
-      "bytes": 53565,
-      "rows": 2,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007077.lean\",\"b8e078bd3d7a943a865d5bdbd9d0f7b6f8cf9607045ee39e7cf85ebb893050b5\",0,\"lean_workbook_plus_8049\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007078.lean\",\"359cc8a2a88351bed96591ca1cdebd34b8a2df348c51573513430a2e627848ab\",0,\"lean_workbook_plus_21902\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007079.lean\",\"14114078844a4d2f1e9c3fbdc1d168715d6e81d549a9cb5e8a4452beb752e42d\",0,\"lean_workbook_plus_17010\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66364,
+      "path": "data/train/p40/oproofs-s00002-r00007076-n000004-0000-cffb1ac21b637d7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "cffb1ac21b637d7e7e85b5da0cf4aae44054a3c1cfd58da1cab7ce2c2b9bb8e3"
+    },
+    {
+      "bytes": 53565,
+      "path": "data/internal_test/p40/oproofs-s00002-r00007076-n000004-0000-1e2b9eaa9e7d2e26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1e2b9eaa9e7d2e26d5a622f7350a2f1aa693a963e78b4886edf2f90fd4bae95a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007080-n000004.json b/manifests/batches/oproofs/s00002-r00007080-n000004.json
index b4464823838ac7daee6d31cefa8016458ed8f5cb..213d1eb53057a10fc4ee8fc8a2fdcde36cf21e09 100644
--- a/manifests/batches/oproofs/s00002-r00007080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007080-n000004",
   "batch_fingerprint": "c169e247ba311a3a69e4bbc7b128d5b830a2ddf4f4f33f977558ad150bae733a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007080-n000004-0000-9e43841692d32e47.parquet",
-      "sha256": "9e43841692d32e47a836461c969668a39016d19406ff3a2c0ce3fe95a84aaef8",
-      "bytes": 308741,
-      "rows": 14,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007080-n000004-0000-2d0402f775e2f46c.parquet",
-      "sha256": "2d0402f775e2f46cc921c08d9688b785394d79a228b28c1d97ec4302b4e34620",
-      "bytes": 81441,
-      "rows": 2,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007081.lean\",\"2b3d7a08bf029a7b7328b18e7d3f63b9c0955502e243a37a9d8e8eea4643e6e4\",0,\"lean_workbook_plus_75634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007082.lean\",\"2297a6464ef593d8671f9f395781bb526db5cd1f591cc74cc29faefc28b36a7a\",0,\"lean_workbook_plus_54206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007083.lean\",\"b1f5897ed9f57c08d15a63ee53250b31790216cf42f62e26e02025cf2d031e81\",0,\"lean_workbook_plus_81579\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 308741,
+      "path": "data/train/pd4/oproofs-s00002-r00007080-n000004-0000-9e43841692d32e47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9e43841692d32e47a836461c969668a39016d19406ff3a2c0ce3fe95a84aaef8"
+    },
+    {
+      "bytes": 81441,
+      "path": "data/internal_test/pd4/oproofs-s00002-r00007080-n000004-0000-2d0402f775e2f46c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2d0402f775e2f46cc921c08d9688b785394d79a228b28c1d97ec4302b4e34620"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007084-n000004.json b/manifests/batches/oproofs/s00002-r00007084-n000004.json
index 62e51ca1406190a15acedef614017d7114b13f0f..dec46783704fa05a3b842761c6e3822f0d09cf12 100644
--- a/manifests/batches/oproofs/s00002-r00007084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007084-n000004",
   "batch_fingerprint": "040df8ba3d6c795ffd73d366a5ed86c31270edfca0a726236161928e721cfdad",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7084",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7085",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7086",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7087"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007084.lean\",\"aea1a6efe29038965e41819b9ba533c99ec016143201e8c2df9a4311557fc31f\",0,\"lean_workbook_plus_29025\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007085.lean\",\"3574c3d4153ac9acbb5ac48550f9815ccc0066680861e5bac1679e21ff23aa06\",0,\"lean_workbook_plus_48966\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007086.lean\",\"ae01c5c2832e0cc36ab90a4a8f9535490394c94e3e3cbd56a3d80e3a89b574e0\",0,\"lean_workbook_37813\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007087.lean\",\"ff1b3d0feb90edc419ed6f9ca631ca63f93ef0c6c7a29fe4bfd1b6b0e8b0318a\",0,\"lean_workbook_plus_48638\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007084-n000004-0000-a464e2202a5ebea7.parquet",
-      "sha256": "a464e2202a5ebea73f1e0834024f217621c54a123bc04c0d6a68bfee5295655d",
       "bytes": 104873,
+      "path": "data/train/pfa/oproofs-s00002-r00007084-n000004-0000-a464e2202a5ebea7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
+      "sha256": "a464e2202a5ebea73f1e0834024f217621c54a123bc04c0d6a68bfee5295655d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007084-n000004-0000-c8fc3539dd147136.parquet",
-      "sha256": "c8fc3539dd147136aa1b56edd8b09c9002867f5747339a072962f10ece8769ed",
       "bytes": 94163,
+      "path": "data/dev/pfa/oproofs-s00002-r00007084-n000004-0000-c8fc3539dd147136.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
+      "sha256": "c8fc3539dd147136aa1b56edd8b09c9002867f5747339a072962f10ece8769ed"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007084-n000004-0000-732460fa04757b12.parquet",
-      "sha256": "732460fa04757b12f9fc55aeebce275b4e0751f457ec77119bc9f01b88f3d54d",
       "bytes": 81382,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00007084-n000004-0000-732460fa04757b12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
+      "sha256": "732460fa04757b12f9fc55aeebce275b4e0751f457ec77119bc9f01b88f3d54d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7084",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7085",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7086",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7087"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007084.lean\",\"aea1a6efe29038965e41819b9ba533c99ec016143201e8c2df9a4311557fc31f\",0,\"lean_workbook_plus_29025\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007085.lean\",\"3574c3d4153ac9acbb5ac48550f9815ccc0066680861e5bac1679e21ff23aa06\",0,\"lean_workbook_plus_48966\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007086.lean\",\"ae01c5c2832e0cc36ab90a4a8f9535490394c94e3e3cbd56a3d80e3a89b574e0\",0,\"lean_workbook_37813\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007087.lean\",\"ff1b3d0feb90edc419ed6f9ca631ca63f93ef0c6c7a29fe4bfd1b6b0e8b0318a\",0,\"lean_workbook_plus_48638\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007088-n000004.json b/manifests/batches/oproofs/s00002-r00007088-n000004.json
index 80aaf2735b95a04e75fe03a3d73b0c0177383b9a..b7ba03368aaf12a4b1bb90636b66a448d19821f3 100644
--- a/manifests/batches/oproofs/s00002-r00007088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007088-n000004",
   "batch_fingerprint": "7d6ffcd4f2b2f68c5cb650676a879be10927441135843854e315327ad0f42814",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007088-n000004-0000-3d752da894a4d165.parquet",
-      "sha256": "3d752da894a4d165bdcc6fb787f0c9ed7e8907c73a798b0e3a95775efa23db5d",
-      "bytes": 182677,
-      "rows": 5,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007088-n000004-0000-c9808981e3d96b1c.parquet",
-      "sha256": "c9808981e3d96b1c694928eef7dafe7dc5515e05d6e669743562b2f69418c646",
-      "bytes": 299093,
-      "rows": 13,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007089.lean\",\"e3655a16b1fe998e95006437a0120415772586c0885a999e43455710dcbafa72\",0,\"lean_workbook_plus_48608\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007090.lean\",\"88d7ccc44c7822db93c240006c7c04d9c7539299e1b4ba4624a853c65cac249f\",0,\"lean_workbook_17147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007091.lean\",\"8988c52b615aad4691c102493a324b1db89df5bf76fdc40ee5bd79abbdf6225a\",0,\"lean_workbook_plus_18916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182677,
+      "path": "data/train/p76/oproofs-s00002-r00007088-n000004-0000-3d752da894a4d165.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3d752da894a4d165bdcc6fb787f0c9ed7e8907c73a798b0e3a95775efa23db5d"
+    },
+    {
+      "bytes": 299093,
+      "path": "data/internal_test/p76/oproofs-s00002-r00007088-n000004-0000-c9808981e3d96b1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c9808981e3d96b1c694928eef7dafe7dc5515e05d6e669743562b2f69418c646"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007092-n000004.json b/manifests/batches/oproofs/s00002-r00007092-n000004.json
index e42c85580e3e1112e1b5040bdfd0efe5ee2833b0..af3c3f174c1f1dbb93b579d90cdf7ed1804d95f3 100644
--- a/manifests/batches/oproofs/s00002-r00007092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007092-n000004",
   "batch_fingerprint": "4bd429fc51853764d4f7c55072c9b93da96db5896a18082c62c2fb0ccabd0993",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007092-n000004-0000-ced447142f20a545.parquet",
-      "sha256": "ced447142f20a545ce9fbec5f2867229c243b805688a2c1aa274f4cfa22f41a8",
-      "bytes": 127573,
-      "rows": 12,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007093.lean\",\"73cf3290b9ac81ccf1af18b75d91bc70cf5b61354a6d9dff5b046135631e241a\",0,\"lean_workbook_plus_69833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007094.lean\",\"0c8627f453f6ad454d4d0bfd65d6baed74e72db08e6b8434905bda95ae325024\",0,\"lean_workbook_plus_28572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007095.lean\",\"cf7863194ad5532c935ad1bbc05e6fa9e28589542e6b9285da0e8a2f9598bde0\",0,\"lean_workbook_plus_58887\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127573,
+      "path": "data/train/p18/oproofs-s00002-r00007092-n000004-0000-ced447142f20a545.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ced447142f20a545ce9fbec5f2867229c243b805688a2c1aa274f4cfa22f41a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007096-n000004.json b/manifests/batches/oproofs/s00002-r00007096-n000004.json
index db62a0399823e9007327e02a5597f8091e2a4eda..dc1e7a7640da5391c28f3930cd6495d076fbe9d0 100644
--- a/manifests/batches/oproofs/s00002-r00007096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007096-n000004",
   "batch_fingerprint": "52881c85dad126467ae3939cfb7a0f887dd279d0fca8114d747c4950b6f8ba2c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007096-n000004-0000-356736a027cd3742.parquet",
-      "sha256": "356736a027cd37429d328ffbfee021ff662fb06fdfd0e639ab8b471cd34def1a",
-      "bytes": 191443,
-      "rows": 16,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007097.lean\",\"17bb6dfd6acadc985f37a4723c348acf2979ebd55ebcdb62154b036330c782a7\",0,\"lean_workbook_plus_39326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007098.lean\",\"bc1487a11683e057ad1f22ed7a7196e364e9cec2a812f9a19694dd1256413f6f\",0,\"lean_workbook_56106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007099.lean\",\"1056022c3f279fee6b957fae40d9f2c24526515e7074f6a83ea09c693e900103\",0,\"lean_workbook_plus_62730\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191443,
+      "path": "data/train/peb/oproofs-s00002-r00007096-n000004-0000-356736a027cd3742.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "356736a027cd37429d328ffbfee021ff662fb06fdfd0e639ab8b471cd34def1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007100-n000004.json b/manifests/batches/oproofs/s00002-r00007100-n000004.json
index 85333a299ec37b32a6867da9097b2d5ad024ecff..050d6ea2898d4b4980539448da8e827a5bffda5f 100644
--- a/manifests/batches/oproofs/s00002-r00007100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007100-n000004",
   "batch_fingerprint": "171020f8ef491c0def442da8748cd5df149d457cd107858191a5958bebaee340",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007100-n000004-0000-048f9868be5b5ab1.parquet",
-      "sha256": "048f9868be5b5ab125f20bfae42ffc273770231f1b46dbc0f5282dd8ddb95d8d",
-      "bytes": 100671,
-      "rows": 7,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007100-n000004-0000-0b8d15cac5123221.parquet",
-      "sha256": "0b8d15cac51232215a95bb9952438460f887b8d66af6a3826fe46cfe30e924f2",
-      "bytes": 128633,
-      "rows": 10,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007101.lean\",\"1efb7111aec6caeb3a5fc63354a699396402d6905e94c5e8661b07c3dc9fc40b\",0,\"lean_workbook_15079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007102.lean\",\"70de7b87696c9e8d21aafa5b23e76fd8926816bc7d5dd6ce22ebfc84eb4d1b56\",0,\"lean_workbook_plus_76122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007103.lean\",\"5aee6de0e52c8098a6cac9d0d23890981fb970a13ca24870ec5a8ee8f6b4aa46\",0,\"lean_workbook_plus_82167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100671,
+      "path": "data/train/p4d/oproofs-s00002-r00007100-n000004-0000-048f9868be5b5ab1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "048f9868be5b5ab125f20bfae42ffc273770231f1b46dbc0f5282dd8ddb95d8d"
+    },
+    {
+      "bytes": 128633,
+      "path": "data/internal_test/p4d/oproofs-s00002-r00007100-n000004-0000-0b8d15cac5123221.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "0b8d15cac51232215a95bb9952438460f887b8d66af6a3826fe46cfe30e924f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007104-n000004.json b/manifests/batches/oproofs/s00002-r00007104-n000004.json
index a9c6ebebe5291b559b387f338456fbe26df54bd3..28979d6b71c47a36bff5f4689220a031ab5791d7 100644
--- a/manifests/batches/oproofs/s00002-r00007104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007104-n000004",
   "batch_fingerprint": "21b3cc41b5a4ae7705f11df38485ac27031aaaa18679dfb39bee52eb754335e9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007104-n000004-0000-f324ddf7e519d9f9.parquet",
-      "sha256": "f324ddf7e519d9f9cbfa25ba78842e306ebff2c4875e0977912d844bea251003",
-      "bytes": 237956,
-      "rows": 18,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007105.lean\",\"5bfe328d7f487af43a13dde1c6b834ea966b52650dbace60e54349b36478e082\",0,\"lean_workbook_plus_11712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007106.lean\",\"4c24d79bb2d5863272f8557573f3551b8f5ebdd08c3679a1506286caac7bc8b2\",0,\"lean_workbook_plus_46305\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007107.lean\",\"555fc17152f4da0d1d7263621baf27f11e9c5c4419735901e9a235b8e96571b8\",0,\"sixth_power_of_complex_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237956,
+      "path": "data/train/p0b/oproofs-s00002-r00007104-n000004-0000-f324ddf7e519d9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f324ddf7e519d9f9cbfa25ba78842e306ebff2c4875e0977912d844bea251003"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007108-n000004.json b/manifests/batches/oproofs/s00002-r00007108-n000004.json
index 3ba45fc82caa29cd59ea1882d6d9fdf955e5f9bd..02ab434564a88d741a6ac6ee6a9b23c2eec368fe 100644
--- a/manifests/batches/oproofs/s00002-r00007108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007108-n000004",
   "batch_fingerprint": "1aec73ddd5ded73af7d8a4b930753465fad6a5cb2094802e3f9f8146d975b8f0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007108-n000004-0000-c7ff687ffbffcbd4.parquet",
-      "sha256": "c7ff687ffbffcbd4bd6ba26b4dd00ac4afb9d53475ccbe79244f2188ac587a78",
-      "bytes": 167128,
-      "rows": 9,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007108-n000004-0000-c8a34684d5633758.parquet",
-      "sha256": "c8a34684d56337589ba0113a12d20f76d41b52a454d8bf2c2e2fd00f472c0b14",
-      "bytes": 60328,
-      "rows": 6,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7109",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007109.lean\",\"f8f32c1b3c8440b1eb1b9ad29240143a3c812a909d2a2bd192b8db410e9e354e\",0,\"lean_workbook_plus_10269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007110.lean\",\"b50ac057db32a4ba5a7e0a159039b8074e9cebd762b138acd6f61ffd5917da96\",0,\"lean_workbook_plus_3090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007111.lean\",\"fed9238a116729540a521854f2ef69fd2efc1c81a069a0ced87e60253d01f946\",0,\"lean_workbook_plus_13704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167128,
+      "path": "data/train/p9e/oproofs-s00002-r00007108-n000004-0000-c7ff687ffbffcbd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c7ff687ffbffcbd4bd6ba26b4dd00ac4afb9d53475ccbe79244f2188ac587a78"
+    },
+    {
+      "bytes": 60328,
+      "path": "data/dev/p9e/oproofs-s00002-r00007108-n000004-0000-c8a34684d5633758.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c8a34684d56337589ba0113a12d20f76d41b52a454d8bf2c2e2fd00f472c0b14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007112-n000004.json b/manifests/batches/oproofs/s00002-r00007112-n000004.json
index 3572dfae1b26110490b29f20cc09ab19b1ca54eb..c1b0208f6035454b36f52231551861532e9a0584 100644
--- a/manifests/batches/oproofs/s00002-r00007112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007112-n000004",
   "batch_fingerprint": "b9a6123516c8f3418c92ad7261a3521db3503921e6f66e29892ab73d12eb41e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007112-n000004-0000-5c91b638e129bc92.parquet",
-      "sha256": "5c91b638e129bc9296b5c6eb0e2f55f3f34bdc0f6213ece018a14cbf11800d28",
-      "bytes": 313660,
-      "rows": 21,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7113",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007113.lean\",\"2e12c1d74275a2810c8733d2ddd80a9ccbf442232b9dfca6304c116a5b41205f\",0,\"lean_workbook_53946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007114.lean\",\"bdca526224126b7b669263a3d0c63f9b3008715434b28568173b1b3ce6f3502d\",0,\"lean_workbook_plus_21946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007115.lean\",\"9283b3d42f9a8f2660ec9ea6fbd5fe1d506725e642288b18625ed769fe252a6d\",0,\"lean_workbook_23903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313660,
+      "path": "data/train/p72/oproofs-s00002-r00007112-n000004-0000-5c91b638e129bc92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5c91b638e129bc9296b5c6eb0e2f55f3f34bdc0f6213ece018a14cbf11800d28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007116-n000004.json b/manifests/batches/oproofs/s00002-r00007116-n000004.json
index f4eabf544edf722b4ad2e9b210be026abae27f32..bbf7dd16a855fe4d0dc661cf376d64dc9886edec 100644
--- a/manifests/batches/oproofs/s00002-r00007116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007116-n000004",
   "batch_fingerprint": "444bf836592ba361b30488d7de0e1c736fe99c697e5ddc775ea484428ab32134",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007116-n000004-0000-a0b540f6b2e919c5.parquet",
-      "sha256": "a0b540f6b2e919c501fbef6eeefbd3187e2826bd205bffc8eb618dcda8ffa08d",
-      "bytes": 1128619,
-      "rows": 15,
-      "revision": "7b7a51906058dac3186a579c250e06863160d185"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007116-n000004-0000-5d55e3749a34fddd.parquet",
-      "sha256": "5d55e3749a34fdddda8119ba5c33155a1467f8869bc8571b71336e938a3d276a",
-      "bytes": 95738,
-      "rows": 2,
-      "revision": "7b7a51906058dac3186a579c250e06863160d185"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007117.lean\",\"c02800f9579952b507f8248f2fcb54d52621aba206d8b211063d452d291a3f9b\",0,\"temperature_drop\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007118.lean\",\"a6f0ac3f869db6dc545586ea25747385008478fda766f694edf2aa890d80a36c\",0,\"lean_workbook_plus_64235\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007119.lean\",\"a02c64d977e0671e8d13f117a361f62f8ba04ed38a58443bb0b424950d7dc688\",0,\"lean_workbook_plus_6345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1128619,
+      "path": "data/train/p0f/oproofs-s00002-r00007116-n000004-0000-a0b540f6b2e919c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a0b540f6b2e919c501fbef6eeefbd3187e2826bd205bffc8eb618dcda8ffa08d"
+    },
+    {
+      "bytes": 95738,
+      "path": "data/internal_test/p0f/oproofs-s00002-r00007116-n000004-0000-5d55e3749a34fddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5d55e3749a34fdddda8119ba5c33155a1467f8869bc8571b71336e938a3d276a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007120-n000004.json b/manifests/batches/oproofs/s00002-r00007120-n000004.json
index 31ad9b1eb4e4de543613174688638c6b4dc01660..aed9e4fc40bf2ea6f46603f93fb2d415a985ff2f 100644
--- a/manifests/batches/oproofs/s00002-r00007120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007120-n000004",
   "batch_fingerprint": "81d9a04e28386a4d1747fce06507cb66936992dabc46f3d0c7c85e2302c127f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007120-n000004-0000-e22be854c45046da.parquet",
-      "sha256": "e22be854c45046da952d46ec344ceafd2d742ed0265087626ad609d3ff704779",
-      "bytes": 499079,
-      "rows": 18,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007120-n000004-0000-f327e3470ed1adfe.parquet",
-      "sha256": "f327e3470ed1adfe6c044802e0ffa83f6910585ea9aed69631afb29715d71745",
-      "bytes": 79148,
-      "rows": 5,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007121.lean\",\"40fbafc48f27915866446d9c37c8953e56afc8025eb87f8c57f55d5ee07a4c13\",0,\"lean_workbook_plus_21693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007122.lean\",\"125eac6481a13492fba424db59edfa9a3d21fd43426a17b651ca96b120c9b7e1\",0,\"lean_workbook_42600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007123.lean\",\"3ac91f205d418a298dec6a8442bb3d17591f5fd1cbf859d247ebcb9a08d10f48\",0,\"lean_workbook_plus_50102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 499079,
+      "path": "data/train/p66/oproofs-s00002-r00007120-n000004-0000-e22be854c45046da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e22be854c45046da952d46ec344ceafd2d742ed0265087626ad609d3ff704779"
+    },
+    {
+      "bytes": 79148,
+      "path": "data/internal_test/p66/oproofs-s00002-r00007120-n000004-0000-f327e3470ed1adfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f327e3470ed1adfe6c044802e0ffa83f6910585ea9aed69631afb29715d71745"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007124-n000004.json b/manifests/batches/oproofs/s00002-r00007124-n000004.json
index cef786e7090eb9b534169081b1bf466b62d271db..7c661a214ef51c65849a9ca3c759913b739ddc86 100644
--- a/manifests/batches/oproofs/s00002-r00007124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007124-n000004",
   "batch_fingerprint": "dc26ac0e845a3633c50a8d80b46fc5ff10362e752e2d299908053bf0ede36036",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007124-n000004-0000-e4cb48f6fd7ab117.parquet",
-      "sha256": "e4cb48f6fd7ab117475ced9684fc89f7c46663aad815a0316fe1108b9a7bfd50",
-      "bytes": 226593,
-      "rows": 17,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007125.lean\",\"b0e055ba69623fb31ddad69c8fa576d45e7792b971e2b68cb4f0f51d7217e0da\",0,\"weight_increase_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007126.lean\",\"1bf58efec36d052794eca5a484a2cac3239d89f93520be243402de08a7637080\",0,\"lean_workbook_10048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007127.lean\",\"315be450d194e0d039dc07ad0ee42d6d0d6785d8bdcf44a120330991717e8bff\",0,\"lean_workbook_plus_39782\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226593,
+      "path": "data/train/pb1/oproofs-s00002-r00007124-n000004-0000-e4cb48f6fd7ab117.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e4cb48f6fd7ab117475ced9684fc89f7c46663aad815a0316fe1108b9a7bfd50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007128-n000004.json b/manifests/batches/oproofs/s00002-r00007128-n000004.json
index 331e75e00b2f4bb177aa6bcf356a7283f0c26a1d..ad9d4e7323d97a7bb344c92609ec32e7517455a3 100644
--- a/manifests/batches/oproofs/s00002-r00007128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007128-n000004",
   "batch_fingerprint": "96214517a51e3fe7635ec61ee5d26e1e9c643f2d5750d59b7ab64410c293b369",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007128-n000004-0000-d8ca165598d6eb57.parquet",
-      "sha256": "d8ca165598d6eb57d653e115436225b3d892bc266f4b7b63293418be9ff143cf",
-      "bytes": 590509,
-      "rows": 16,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007129.lean\",\"ea8b049eec024ddd8fec23bd8281647164110352cb9ea2b40f63d646b5ac5e5a\",0,\"lean_workbook_plus_75005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007130.lean\",\"6b0dfee4335968617444b80cca6e6b4dde480325c4e446842f18763a54df40e6\",0,\"student_line_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007131.lean\",\"b2bddbc2f281ef01decd34976898f41861b6252e2761cd6f0f19626db0167b1a\",0,\"lean_workbook_plus_47779\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590509,
+      "path": "data/train/p33/oproofs-s00002-r00007128-n000004-0000-d8ca165598d6eb57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d8ca165598d6eb57d653e115436225b3d892bc266f4b7b63293418be9ff143cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007132-n000004.json b/manifests/batches/oproofs/s00002-r00007132-n000004.json
index 99cb9d4cff29fda4a9beea82772d6991d45837f7..0f0364017b549cfc7491b81777bba7e7ccaaee11 100644
--- a/manifests/batches/oproofs/s00002-r00007132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007132-n000004",
   "batch_fingerprint": "d6e252e59a76455f9dd9d0ccc65fa4340b40f0017a9c21c43914393aa0332a1d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007132-n000004-0000-b63d613f3976e7b0.parquet",
-      "sha256": "b63d613f3976e7b03c16a1437f6eae632606245173273be351eee8a6bb970074",
-      "bytes": 75781,
-      "rows": 10,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007132-n000004-0000-0aed70f11f95509f.parquet",
-      "sha256": "0aed70f11f95509fa74e1624cce4bd5741a83f3404bcc28370e14a23aae933eb",
-      "bytes": 156071,
-      "rows": 8,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007133.lean\",\"17855013e8128710938a375ad99d5e88043a30a958e8f2688cb3fdc57c2c9443\",0,\"lean_workbook_plus_8049\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007134.lean\",\"35732fbd45f8c760f9dcb9bc2e323380147bafd3399cb76f8fcbc7f4e140867c\",0,\"lean_workbook_plus_43712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007135.lean\",\"68a2028b199d63e6573a48dbe3874f78ffcee211d27d35c4d431772f4bcc4503\",0,\"lean_workbook_plus_21902\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75781,
+      "path": "data/train/p55/oproofs-s00002-r00007132-n000004-0000-b63d613f3976e7b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b63d613f3976e7b03c16a1437f6eae632606245173273be351eee8a6bb970074"
+    },
+    {
+      "bytes": 156071,
+      "path": "data/internal_test/p55/oproofs-s00002-r00007132-n000004-0000-0aed70f11f95509f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0aed70f11f95509fa74e1624cce4bd5741a83f3404bcc28370e14a23aae933eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007136-n000004.json b/manifests/batches/oproofs/s00002-r00007136-n000004.json
index fde55a3e3260072dc190909f4cc184b32916873d..7e25fe1aeb9e6d318c2214cecfb5df5c7b659f8a 100644
--- a/manifests/batches/oproofs/s00002-r00007136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007136-n000004",
   "batch_fingerprint": "fcb63c0383ebf816f969d827e98c71eb010ab75c81930d06bd60a2c61874abf2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007136-n000004-0000-5b35eb4e23c85887.parquet",
-      "sha256": "5b35eb4e23c85887d0fab0b8d6e0d40a925eaa568890797f6710d1da3676e04b",
-      "bytes": 82573,
-      "rows": 8,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007136-n000004-0000-9d9446726ddac290.parquet",
-      "sha256": "9d9446726ddac2902b524a1cf1aa957b88fa964cec21693a729ae4b6c0e03ccc",
-      "bytes": 61861,
-      "rows": 3,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007137.lean\",\"28962e1603e624e9884adbbd75a9c589d9852120d14a4dce0d07561b5f6c21f3\",0,\"lean_workbook_plus_39077\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007138.lean\",\"e7fccbf89e8a7947f3a443dfb5be2bf2ec35ba557a8ee6286c7f907cd0bbafc3\",0,\"lean_workbook_plus_75634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007139.lean\",\"d9027f0d2c188029d0d000a4a2c20d70800fb6e6881facc91de1b717918b2eec\",0,\"lean_workbook_plus_54206\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82573,
+      "path": "data/train/p37/oproofs-s00002-r00007136-n000004-0000-5b35eb4e23c85887.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5b35eb4e23c85887d0fab0b8d6e0d40a925eaa568890797f6710d1da3676e04b"
+    },
+    {
+      "bytes": 61861,
+      "path": "data/internal_test/p37/oproofs-s00002-r00007136-n000004-0000-9d9446726ddac290.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9d9446726ddac2902b524a1cf1aa957b88fa964cec21693a729ae4b6c0e03ccc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007140-n000004.json b/manifests/batches/oproofs/s00002-r00007140-n000004.json
index 3c909de94201ae468363e00548dd95c31659fcf1..9fe75ba141dcad0382da3dfd7996ddae430d0807 100644
--- a/manifests/batches/oproofs/s00002-r00007140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007140-n000004",
   "batch_fingerprint": "29d9019e48104c8d1967107bb389f216f73d4c8c0f8abbd461cb39b95747377e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007140-n000004-0000-0e5a48cd0a0b5fb5.parquet",
-      "sha256": "0e5a48cd0a0b5fb580b0e427a0b5a99985cf9e4978ce61fb71a41179cc30da20",
-      "bytes": 205978,
-      "rows": 8,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007140-n000004-0000-b6b53e4bb5195c5d.parquet",
-      "sha256": "b6b53e4bb5195c5d793a5c9511ff2359b30a47e9e7ad68263cf260f9eff3304c",
-      "bytes": 104304,
-      "rows": 3,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007141.lean\",\"533d066934bae77d41c28004c58055b900e14eb17e24793cfb292ae91f742ce0\",0,\"lean_workbook_39402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007142.lean\",\"e73cce39a1559f3aeb75911256e524597e7de208c77a01134645293597db7697\",0,\"lean_workbook_plus_48966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007143.lean\",\"3ba999a97c91bc2bee28f22cc85d91b34781cab9d3963b1a6a76ac18f1ebd173\",0,\"lean_workbook_plus_82530\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205978,
+      "path": "data/train/pb7/oproofs-s00002-r00007140-n000004-0000-0e5a48cd0a0b5fb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0e5a48cd0a0b5fb580b0e427a0b5a99985cf9e4978ce61fb71a41179cc30da20"
+    },
+    {
+      "bytes": 104304,
+      "path": "data/dev/pb7/oproofs-s00002-r00007140-n000004-0000-b6b53e4bb5195c5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b6b53e4bb5195c5d793a5c9511ff2359b30a47e9e7ad68263cf260f9eff3304c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007144-n000004.json b/manifests/batches/oproofs/s00002-r00007144-n000004.json
index e7c606aa1de6c8911f87ec8c81683994ef7b25fb..93c84b6927da9611a18a4a015c22eb5a6310c716 100644
--- a/manifests/batches/oproofs/s00002-r00007144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007144-n000004",
   "batch_fingerprint": "a48386cebbf3742b0b1f4b7b62fa9153826a723861afa49aa6fa09cd692a6084",
   "evidence": {
@@ -41,15 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007144-n000004-0000-7e2a2e0a7e9cd568.parquet",
-      "sha256": "7e2a2e0a7e9cd568f853a7007034d808e23c4d774b095c69dedb6574d0085efc",
-      "bytes": 204050,
-      "rows": 15,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7146",
@@ -59,5 +50,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007144.lean\",\"e4935f4250ae40f8870bd3052e37b8a68f0fe18a19197bd014ac682c372ba2a2\",0,\"lean_workbook_37813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007146.lean\",\"4850c8593d91afef65b0de358dd8d4b78e2a4162c2d3fda0bb772da104a53f14\",0,\"lean_workbook_2824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007147.lean\",\"2a56cd8aa6f35a15e1063e88599eb04378c5df511cb730a884a02da6fb84556b\",0,\"lean_workbook_plus_45490\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204050,
+      "path": "data/train/p1d/oproofs-s00002-r00007144-n000004-0000-7e2a2e0a7e9cd568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7e2a2e0a7e9cd568f853a7007034d808e23c4d774b095c69dedb6574d0085efc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007148-n000004.json b/manifests/batches/oproofs/s00002-r00007148-n000004.json
index 4ff383b2d09c3d93c14a4589c2b80c0afb119ad4..5ca7ca11d31169b8bbaa8da3bf804e762e8459a0 100644
--- a/manifests/batches/oproofs/s00002-r00007148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007148-n000004",
   "batch_fingerprint": "b789760affd8a663bb4f63735d1b70b594537815bdb7cba4e90682a88c147c79",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007148-n000004-0000-4381e431cdec3cf5.parquet",
-      "sha256": "4381e431cdec3cf5c82a9ef50902ea4ca0f708fd3449ab23b189834c2aeffdba",
-      "bytes": 337913,
-      "rows": 14,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007148-n000004-0000-23c78955503fb0a3.parquet",
-      "sha256": "23c78955503fb0a32d0d4f1c52069fa403c6e8dbb5be9675ace79489cf6fc1ad",
-      "bytes": 40328,
-      "rows": 4,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007149.lean\",\"04306bc1f6c2b5240ca99c921fbcd923377c674be25b8475158ffd9f60457124\",0,\"lean_workbook_17147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007150.lean\",\"4975a9ad65919194e37605068fad163ea3ac2c5b6b96dadfe13b6ee8b330fe3c\",0,\"lean_workbook_plus_33755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007151.lean\",\"436ca8df7e1fabdfee035665ec26af23d89f2d595de677a2fcd569e30fc4e07c\",0,\"lean_workbook_plus_13457\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337913,
+      "path": "data/train/pa6/oproofs-s00002-r00007148-n000004-0000-4381e431cdec3cf5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4381e431cdec3cf5c82a9ef50902ea4ca0f708fd3449ab23b189834c2aeffdba"
+    },
+    {
+      "bytes": 40328,
+      "path": "data/internal_test/pa6/oproofs-s00002-r00007148-n000004-0000-23c78955503fb0a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "23c78955503fb0a32d0d4f1c52069fa403c6e8dbb5be9675ace79489cf6fc1ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007152-n000004.json b/manifests/batches/oproofs/s00002-r00007152-n000004.json
index 35daac318034cf5ac359fce25921d6f266942e19..f44e75a7abc3d317ce3c7fd952d4789d9626011f 100644
--- a/manifests/batches/oproofs/s00002-r00007152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007152-n000004",
   "batch_fingerprint": "2b82ac8eb1984cc6ed098430635774cae81d9575e689e98e3bca13c9d81b2288",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007152-n000004-0000-c309bf70e1bfe0a0.parquet",
-      "sha256": "c309bf70e1bfe0a07fe4ff7b9510eaed54f86c1d7ee8bbd8bc396abe586d324d",
-      "bytes": 116065,
-      "rows": 14,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007153.lean\",\"d589bdc8a0a5d95d1b14082749003b6758e0248c113ca49a88fe6af4eada0ed6\",0,\"lean_workbook_plus_69833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007154.lean\",\"42c8423dcd00422335d8821fcc1662a862afbb887cdc6b1e0296ba234e6d012e\",0,\"lean_workbook_plus_28572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007155.lean\",\"90f190fcb0fa4d4c8ee22a27b2d68771ba2513ed3704736205aa0590ad3faa35\",0,\"lean_workbook_38731\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116065,
+      "path": "data/train/p59/oproofs-s00002-r00007152-n000004-0000-c309bf70e1bfe0a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c309bf70e1bfe0a07fe4ff7b9510eaed54f86c1d7ee8bbd8bc396abe586d324d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007156-n000004.json b/manifests/batches/oproofs/s00002-r00007156-n000004.json
index c5975e895865a00b4cd09cdd435804305e9caef1..96d432a4a2373b94c99bdf335d9e5a059d145cc7 100644
--- a/manifests/batches/oproofs/s00002-r00007156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007156-n000004",
   "batch_fingerprint": "3ce51d2b96bbbdfe5fa2174d27d18e0189594f8856490a11805f5a074ebe7bca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007156-n000004-0000-b3195744734d8bf8.parquet",
-      "sha256": "b3195744734d8bf8543bac1ec0d694b91af05d88daae24724c60102347e92287",
-      "bytes": 168338,
-      "rows": 19,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007157.lean\",\"33ad485178075a626f58aa34caef29ef128f759edb129537396937b7e4f7dca4\",0,\"lean_workbook_plus_74320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007158.lean\",\"40332d5265d16c7732a419017d3eaa132da5c442fb0e3e086a8dfb58b09d16d0\",0,\"lean_workbook_plus_39326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007159.lean\",\"866cff6313e024dd612221be897e8f2916791858a30dc3eefe246ace2d621cc5\",0,\"lean_workbook_56106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168338,
+      "path": "data/train/pb6/oproofs-s00002-r00007156-n000004-0000-b3195744734d8bf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b3195744734d8bf8543bac1ec0d694b91af05d88daae24724c60102347e92287"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007160-n000004.json b/manifests/batches/oproofs/s00002-r00007160-n000004.json
index 20d3ddaaa0bcb39addb855f5202389613d4a3960..014226679aa1f0b82ac027e57edc3c4016ed43c1 100644
--- a/manifests/batches/oproofs/s00002-r00007160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007160-n000004",
   "batch_fingerprint": "b94eba058c0c105e13d7752fd6e60269056d6aed8f92ef12df9ca8c7f9f91489",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007160-n000004-0000-9c6f15401e709ddb.parquet",
-      "sha256": "9c6f15401e709ddb55b59a0f41e98dab9c9d1a09d011aefa2e0e611672b3bdfc",
-      "bytes": 478721,
-      "rows": 19,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007160-n000004-0000-1b016d4d0b3e0f2f.parquet",
-      "sha256": "1b016d4d0b3e0f2f4eab565b5252bacb1ef0bbb232a5122600f1ae45e8057b6c",
-      "bytes": 258231,
-      "rows": 10,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7161",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007161.lean\",\"f0a08d3c7427d2de6d2fe25fa63a01875aac1d2c588df40afb050f6dbceee984\",0,\"lean_workbook_plus_18916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007162.lean\",\"e934fcfa296c74d0f010af2e92978d42accd8e9111120005ada182b55805d541\",0,\"lean_workbook_plus_66743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007163.lean\",\"1efb7111aec6caeb3a5fc63354a699396402d6905e94c5e8661b07c3dc9fc40b\",0,\"lean_workbook_15079\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 478721,
+      "path": "data/train/p16/oproofs-s00002-r00007160-n000004-0000-9c6f15401e709ddb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9c6f15401e709ddb55b59a0f41e98dab9c9d1a09d011aefa2e0e611672b3bdfc"
+    },
+    {
+      "bytes": 258231,
+      "path": "data/internal_test/p16/oproofs-s00002-r00007160-n000004-0000-1b016d4d0b3e0f2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1b016d4d0b3e0f2f4eab565b5252bacb1ef0bbb232a5122600f1ae45e8057b6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007164-n000004.json b/manifests/batches/oproofs/s00002-r00007164-n000004.json
index f60082741b9934f8aa5fa64a0e026bb96a336dbf..70d5922be5d86505747db56cb55260efabd41dac 100644
--- a/manifests/batches/oproofs/s00002-r00007164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007164-n000004",
   "batch_fingerprint": "9ef500188183a77a4022d7f5842c9455f3dc1907058954c81e0b84c95d58f8de",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007164-n000004-0000-0b5ef27090a04e84.parquet",
-      "sha256": "0b5ef27090a04e84f5dea768c44acbc91d32d9e66c0d38f85a978991ac63180c",
-      "bytes": 129675,
-      "rows": 15,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007164-n000004-0000-6f3a46d179aa51bf.parquet",
-      "sha256": "6f3a46d179aa51bf77e094461a29c5232329263cffbbcb4256627aa01ad8e9da",
-      "bytes": 68676,
-      "rows": 6,
-      "revision": "e0c06bb4060fc53085782507fab3402467ed73ad"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007165.lean\",\"357d4786be0b8f569d85237078416a35012f090aca76674d392875781ce3026d\",0,\"lean_workbook_48918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007166.lean\",\"6629a5616e3e8b8c6bdd39a6df9a4299b34b5dc9ad0127abca5f332af0155d07\",0,\"lean_workbook_plus_82167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007167.lean\",\"f76e3eb03ce2f8540dc44f0afad4c97413c5bfa64a1fbd45a75e4d1fd7689c94\",0,\"kaleb_savings\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129675,
+      "path": "data/train/pa1/oproofs-s00002-r00007164-n000004-0000-0b5ef27090a04e84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0b5ef27090a04e84f5dea768c44acbc91d32d9e66c0d38f85a978991ac63180c"
+    },
+    {
+      "bytes": 68676,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00007164-n000004-0000-6f3a46d179aa51bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6f3a46d179aa51bf77e094461a29c5232329263cffbbcb4256627aa01ad8e9da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007168-n000004.json b/manifests/batches/oproofs/s00002-r00007168-n000004.json
index f97acf3c10573828d3b1846999686181449e758e..13ba8851653eab55a279404618bf3f986c52a20f 100644
--- a/manifests/batches/oproofs/s00002-r00007168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007168-n000004",
   "batch_fingerprint": "35a88b4d928fefd5667f796c76bf0bca21df476463b5246e24818db2bc6b6d60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007168-n000004-0000-06744856df5fb20c.parquet",
-      "sha256": "06744856df5fb20c1a1a4a2c02c556e67a6e39e9065f5614f454a34b70f03ee7",
-      "bytes": 134800,
-      "rows": 17,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007169.lean\",\"2b2ecac34d9d8566b3536076f73c0d4f067e0a0498fd96426eca29335deb5ce3\",0,\"square_diagonal_intersection_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007170.lean\",\"ec03c2fcd886000480d58c6f6d27e73f586d743c10abc4c3e8ffad5957f7c912\",0,\"sixth_power_of_complex_number\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007171.lean\",\"78d04dbddf1465102c379c3cc575dbc0fed56b6214cd25755f50d2fdafc37843\",0,\"geometric_figure_area\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134800,
+      "path": "data/train/p77/oproofs-s00002-r00007168-n000004-0000-06744856df5fb20c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "06744856df5fb20c1a1a4a2c02c556e67a6e39e9065f5614f454a34b70f03ee7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007172-n000004.json b/manifests/batches/oproofs/s00002-r00007172-n000004.json
index 17eeb19ce76aa5ee0986df875ea3857cd2835506..29dcfc2f84458da59161987e718505f5646e08c1 100644
--- a/manifests/batches/oproofs/s00002-r00007172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007172-n000004",
   "batch_fingerprint": "4bc5a8e37596d019841360aa97e23c7359a478e6bd7e0d68abe79af5e438b0da",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007172-n000004-0000-799e7a94cf47d6e2.parquet",
-      "sha256": "799e7a94cf47d6e24a8072726189e643a58bf8abc24f505cbf562f19b5ba7883",
-      "bytes": 166396,
-      "rows": 12,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007172-n000004-0000-9fd3f316719d1add.parquet",
-      "sha256": "9fd3f316719d1add2a329185ce7de1d2ec7ce30ac2313d3fc3abdfceed980c17",
-      "bytes": 62393,
-      "rows": 7,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007173.lean\",\"3cc5495ff65fb2c55c40ff97f4b8e81c8386b30bd6c46aaf9d329a191197eaf3\",0,\"lean_workbook_plus_13704\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007174.lean\",\"c85cfe6e46c6a1922dca502733df74332a3c622893f23188c94024dee200b576\",0,\"lean_workbook_plus_10269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007175.lean\",\"f5c4624fd43ee894b61a87b929a07771a2bde921cff5fc3d80175c2208483f50\",0,\"lean_workbook_53946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 166396,
+      "path": "data/train/pea/oproofs-s00002-r00007172-n000004-0000-799e7a94cf47d6e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "799e7a94cf47d6e24a8072726189e643a58bf8abc24f505cbf562f19b5ba7883"
+    },
+    {
+      "bytes": 62393,
+      "path": "data/dev/pea/oproofs-s00002-r00007172-n000004-0000-9fd3f316719d1add.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9fd3f316719d1add2a329185ce7de1d2ec7ce30ac2313d3fc3abdfceed980c17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007176-n000004.json b/manifests/batches/oproofs/s00002-r00007176-n000004.json
index 6303d5abe532c02fa0ca6f72e2807dd46318e398..906869f4928a9f1675b90b67d24bda42c83ee965 100644
--- a/manifests/batches/oproofs/s00002-r00007176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007176-n000004",
   "batch_fingerprint": "8eabec834754e7b92434ac3477c6c5b692cf4e0d9eb09bb3866f7fb888dd2a96",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007176-n000004-0000-63c0d5bf77f510c5.parquet",
-      "sha256": "63c0d5bf77f510c514e73b4dba6eca7213cbf32b800c6c45353c361d01b1020b",
-      "bytes": 217467,
-      "rows": 14,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007176-n000004-0000-ab22244a879ba671.parquet",
-      "sha256": "ab22244a879ba671de7ca72526cc3500e0c6b738801fb0512856f6f61787e118",
-      "bytes": 75023,
-      "rows": 2,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007177.lean\",\"505c7149fd663e730c28869b822630122da879e1bf44916f0b81f05f93c5c2c6\",0,\"lean_workbook_plus_5548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007178.lean\",\"7d4d047abe8c8547c7e128df11f42fad760b255cac53778d8bd892d1285b42f0\",0,\"lean_workbook_51829\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007179.lean\",\"963b947f61f4a681ffefbaa2b4c898b09ab41817ed7745bf646258ff7e770872\",0,\"lean_workbook_plus_21693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217467,
+      "path": "data/train/p22/oproofs-s00002-r00007176-n000004-0000-63c0d5bf77f510c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "63c0d5bf77f510c514e73b4dba6eca7213cbf32b800c6c45353c361d01b1020b"
+    },
+    {
+      "bytes": 75023,
+      "path": "data/internal_test/p22/oproofs-s00002-r00007176-n000004-0000-ab22244a879ba671.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ab22244a879ba671de7ca72526cc3500e0c6b738801fb0512856f6f61787e118"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007180-n000004.json b/manifests/batches/oproofs/s00002-r00007180-n000004.json
index 8213ceb27e00947e3cd94f483dfb8edcec23f3a8..f110fa255b960a73fefc56e2031bed6e6f2f75e3 100644
--- a/manifests/batches/oproofs/s00002-r00007180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007180-n000004",
   "batch_fingerprint": "981c7e0a378f33482e3707d5511a1de7aac4b0f1b74cedb7abfcaae9b4556a86",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007180-n000004-0000-840b2c46d51eb277.parquet",
-      "sha256": "840b2c46d51eb277ee17911fed12be4b48b686e8ca103b35227fd5c719f9b8f5",
-      "bytes": 259941,
-      "rows": 18,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007180-n000004-0000-e9321661706b1381.parquet",
-      "sha256": "e9321661706b138142285d2e3b519383abccb92c3b404778ef6b00e2fe50e517",
-      "bytes": 85499,
-      "rows": 7,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007181.lean\",\"b9e2718877047d7e0fc70f3017502f890065f2ba932c989567d31c99c5adfc55\",0,\"lean_workbook_plus_63994\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007182.lean\",\"37f7dd0141931dba7105ed7264c4ec6c9d2bc312f47290937fd6f78d46e4b9e9\",0,\"lean_workbook_plus_50102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007183.lean\",\"073f9f5b0f3a01257bb021f18fd00cebabe05e161ac009e8b1789c13fcea508b\",0,\"lean_workbook_10048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259941,
+      "path": "data/train/pec/oproofs-s00002-r00007180-n000004-0000-840b2c46d51eb277.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "840b2c46d51eb277ee17911fed12be4b48b686e8ca103b35227fd5c719f9b8f5"
+    },
+    {
+      "bytes": 85499,
+      "path": "data/internal_test/pec/oproofs-s00002-r00007180-n000004-0000-e9321661706b1381.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e9321661706b138142285d2e3b519383abccb92c3b404778ef6b00e2fe50e517"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007184-n000004.json b/manifests/batches/oproofs/s00002-r00007184-n000004.json
index 92b3e91c0ae614753ae859036120190d51fca18a..847a4455c17e58318269fac12a92b8ad6db977a5 100644
--- a/manifests/batches/oproofs/s00002-r00007184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007184-n000004",
   "batch_fingerprint": "317e178cf82445a9d80ae060e3b167d433c94f6f7cb791e12454cc0ddfdefe9e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007184-n000004-0000-b23e8c26d5b688e3.parquet",
-      "sha256": "b23e8c26d5b688e39b0cf8cf3eaaba359541e83292d8a3378f5ba435510cc763",
-      "bytes": 736615,
-      "rows": 15,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007185.lean\",\"8a7ceb88ed0568f010afba65e51f9561d81840523e3dbf340a383d032eb81da6\",0,\"lean_workbook_plus_37938\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007186.lean\",\"9be03ba976026732fcc839ef1dc40a10b9b2862f33f9078d1ad4b29b84d099b0\",0,\"lean_workbook_plus_39782\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007187.lean\",\"1ab05df7d591cf926b96a28b5e8f61baea39a74408875700f1755991ab6f2d73\",0,\"lean_workbook_plus_75005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 736615,
+      "path": "data/train/pfe/oproofs-s00002-r00007184-n000004-0000-b23e8c26d5b688e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "b23e8c26d5b688e39b0cf8cf3eaaba359541e83292d8a3378f5ba435510cc763"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007188-n000004.json b/manifests/batches/oproofs/s00002-r00007188-n000004.json
index c23f107c63b1bc1e5cea0de858f4eb1e0f9d3777..2d814efb9dbb4f7ea0f39b8c5b3fb5144c44d621 100644
--- a/manifests/batches/oproofs/s00002-r00007188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007188-n000004",
   "batch_fingerprint": "3ca721e363177d391830a28133bd391818942c0d64db7a82f9232b83b62658e8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007188-n000004-0000-b0315975fdddfc3d.parquet",
-      "sha256": "b0315975fdddfc3df9b0d72fe2ca5a85fbd645ce6fed581eeca391b8a1aa78e4",
-      "bytes": 244448,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007188-n000004-0000-220aae49283c9c70.parquet",
-      "sha256": "220aae49283c9c70aa61398ab202e4fc18f0e80d133df08a539e3443b70ef4ad",
-      "bytes": 130252,
-      "rows": 6,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007189.lean\",\"3fa41cbda6e29a006f8ed02bf92fe0dcbb2a9a00b61d7a6f22a7ea31ed7d018a\",0,\"lean_workbook_48059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007190.lean\",\"047fd4075949485e450e4ae66197071d417f61f2f9abbe26648c05c61304a03b\",0,\"lean_workbook_plus_46088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007191.lean\",\"87f63a3004eedf2dddb0b6a3d0d052ae894ef6aad126cd8eeaddfcec88845d61\",1,\"final_answer\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244448,
+      "path": "data/train/pc2/oproofs-s00002-r00007188-n000004-0000-b0315975fdddfc3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b0315975fdddfc3df9b0d72fe2ca5a85fbd645ce6fed581eeca391b8a1aa78e4"
+    },
+    {
+      "bytes": 130252,
+      "path": "data/dev/pc2/oproofs-s00002-r00007188-n000004-0000-220aae49283c9c70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "220aae49283c9c70aa61398ab202e4fc18f0e80d133df08a539e3443b70ef4ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007192-n000004.json b/manifests/batches/oproofs/s00002-r00007192-n000004.json
index 18a7b5a9d5bd90a1ab013fdebcdf22940dec622d..83c50a267e87103a79c2f58c8f59ccec6facea0f 100644
--- a/manifests/batches/oproofs/s00002-r00007192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007192-n000004",
   "batch_fingerprint": "794434fbe753b61eca558b32ea4708e58143f2fdd3faf760b2b616d7815cf500",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007192-n000004-0000-cbb20dcc9b20e1d8.parquet",
-      "sha256": "cbb20dcc9b20e1d8bc494ae726ed8e31dcbb0c194237f12b1d49024d91d93bbd",
-      "bytes": 63608,
-      "rows": 5,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007192-n000004-0000-7d3299283e0c20a5.parquet",
-      "sha256": "7d3299283e0c20a52de5a06f4e50870dda509a6f1360feec4219afb18e42fc1e",
-      "bytes": 78378,
-      "rows": 4,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007193.lean\",\"09ab2a758f90526de3f60fd07651788213e1d16ab31a7f68f4f39de904ed2f91\",0,\"lean_workbook_plus_17010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007194.lean\",\"5b5ccf82ddf01deb3947b4f7bfb3c6b9850ddad1da9b8a6e79adde059c961e51\",0,\"lean_workbook_plus_11319\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007195.lean\",\"0acccf8301e5f053a376ca369549052c3a8e1d737802348c78329df77f9011ae\",0,\"lean_workbook_plus_75634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63608,
+      "path": "data/train/p79/oproofs-s00002-r00007192-n000004-0000-cbb20dcc9b20e1d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cbb20dcc9b20e1d8bc494ae726ed8e31dcbb0c194237f12b1d49024d91d93bbd"
+    },
+    {
+      "bytes": 78378,
+      "path": "data/internal_test/p79/oproofs-s00002-r00007192-n000004-0000-7d3299283e0c20a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7d3299283e0c20a52de5a06f4e50870dda509a6f1360feec4219afb18e42fc1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007196-n000004.json b/manifests/batches/oproofs/s00002-r00007196-n000004.json
index 2e99c3f4a4123b0e004d8fb91aa51eb00f07c8f9..91b216adec88d734fb5323da33624223aff9bc13 100644
--- a/manifests/batches/oproofs/s00002-r00007196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007196-n000004",
   "batch_fingerprint": "1f83ff942fa212fb012f098acad32cf49277686220c801a7dfc87d95c7a2df39",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007196-n000004-0000-d4ea4b674bee7a97.parquet",
-      "sha256": "d4ea4b674bee7a977eb28733eb65a8a517cea50a5454b382c870c66c1436308a",
-      "bytes": 109819,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007197.lean\",\"c4af4c227793f6065833409b22e2fc6e254958643023b8461874158579935815\",0,\"lean_workbook_plus_72273\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007198.lean\",\"09b984fe1898d0009f72164d11421124c772639a255e0748189c76600f0ca306\",0,\"lean_workbook_plus_54206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007199.lean\",\"f12c1120ce1e26db5d7ced9a7ef991866ec77bbdb19c84efe577c2e7724ab0e2\",0,\"lean_workbook_39402\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109819,
+      "path": "data/train/p47/oproofs-s00002-r00007196-n000004-0000-d4ea4b674bee7a97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d4ea4b674bee7a977eb28733eb65a8a517cea50a5454b382c870c66c1436308a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007200-n000004.json b/manifests/batches/oproofs/s00002-r00007200-n000004.json
index ea210653f6acc314cfdf83cf428cdc0822d2be73..76bcc7546d28b45ff8ca23eb00f5a87ba9cb585c 100644
--- a/manifests/batches/oproofs/s00002-r00007200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007200-n000004",
   "batch_fingerprint": "50fa25495e10cd2f022a9aa3e0d713f275c754bff6708c10a511478fbba26844",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007200-n000004-0000-293c55eceea8b576.parquet",
-      "sha256": "293c55eceea8b576960c9d895024b0cb1679da0001e4e4f5e2afff649549b44a",
-      "bytes": 306979,
-      "rows": 10,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007200-n000004-0000-373867be34b9c9da.parquet",
-      "sha256": "373867be34b9c9da33cf919117c5b2019edddde1b57fbdb61c88c183b224a77a",
-      "bytes": 94715,
-      "rows": 3,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007201.lean\",\"a4d63bd585333bc7dd7acd3601847a879ca95fa7f717a7cc4807689f6f9650cd\",0,\"lean_workbook_plus_48966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007202.lean\",\"a7389ee761149b9dd1fb12ce4f9a09eedf9c1e07c9a0ececc83b62cb2322b680\",0,\"lean_workbook_plus_14475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007203.lean\",\"5165df5587f76ae21a086a54c98b874100cb9611993d046a78f2c07ce479f25b\",0,\"lean_workbook_plus_48638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306979,
+      "path": "data/train/pe8/oproofs-s00002-r00007200-n000004-0000-293c55eceea8b576.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "293c55eceea8b576960c9d895024b0cb1679da0001e4e4f5e2afff649549b44a"
+    },
+    {
+      "bytes": 94715,
+      "path": "data/dev/pe8/oproofs-s00002-r00007200-n000004-0000-373867be34b9c9da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "373867be34b9c9da33cf919117c5b2019edddde1b57fbdb61c88c183b224a77a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007204-n000004.json b/manifests/batches/oproofs/s00002-r00007204-n000004.json
index da9b5b943f0b8f657b5c70a9a3ba2d468e4c0cdf..127ecc7b52d64a83f258cbd714ca3e0cb2e8529a 100644
--- a/manifests/batches/oproofs/s00002-r00007204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007204-n000004",
   "batch_fingerprint": "e050554599104af51dd1ad0ae81a35f6379e063879c1dbbb1fc57e0ce15b455a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007204-n000004-0000-900fcd158be0a318.parquet",
-      "sha256": "900fcd158be0a318e8fd8791e999e7dd5d40171622d5f207b6b3e5f93f7b5e02",
-      "bytes": 297153,
-      "rows": 15,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7205",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007205.lean\",\"1f77efea8b42f5dd3f4ed1b8a3c47a296bc5b4f3e25bd22d775ad49fadf6147e\",0,\"lean_workbook_plus_51082\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007206.lean\",\"2bf8b55d25210b39cd586b9ec856c07de8d52a7beb54079d1e34ef09d9a82c2f\",0,\"divisibility_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007207.lean\",\"291874fc10f2f684b66cfd73a7303d161a8e4b46a3cdd2942b43300d5aefbadb\",0,\"lean_workbook_plus_38501\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297153,
+      "path": "data/train/p81/oproofs-s00002-r00007204-n000004-0000-900fcd158be0a318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "900fcd158be0a318e8fd8791e999e7dd5d40171622d5f207b6b3e5f93f7b5e02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007208-n000004.json b/manifests/batches/oproofs/s00002-r00007208-n000004.json
index dfdbd4cb832c10eb83c209555fe082cdc941e54c..7044b69851c10ca04c37f57f31fd7aaf823b6ba9 100644
--- a/manifests/batches/oproofs/s00002-r00007208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007208-n000004",
   "batch_fingerprint": "55b1fd503691d0879f06b2ced3f64bd16d43f752beb25fb633a25ec6af2f74eb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007208-n000004-0000-20e2fbafa3bcc2f4.parquet",
-      "sha256": "20e2fbafa3bcc2f4ced98c5e146c423d4a7e6de940ea0f955628d5e7b3a835f2",
-      "bytes": 199806,
-      "rows": 16,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007208-n000004-0000-161ed118b80e330c.parquet",
-      "sha256": "161ed118b80e330c16f9e30946e25a9d78cbd618b7054a5eb9532028717eca37",
-      "bytes": 272677,
-      "rows": 12,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007209.lean\",\"a3da61f48ecab557ce1af6f08b474cb76f54e847adc787af3415c03846800887\",0,\"lean_workbook_plus_43712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007210.lean\",\"261c0bf13525cc19d923d46db1733723164ee8b5d1971956a82f6a0f558cb74e\",0,\"lean_workbook_plus_45490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007211.lean\",\"f2f35908456d6988b549dfa60462bf38503374965832a7821657b6a76115ff42\",0,\"lean_workbook_37813\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199806,
+      "path": "data/train/pe1/oproofs-s00002-r00007208-n000004-0000-20e2fbafa3bcc2f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "20e2fbafa3bcc2f4ced98c5e146c423d4a7e6de940ea0f955628d5e7b3a835f2"
+    },
+    {
+      "bytes": 272677,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00007208-n000004-0000-161ed118b80e330c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "161ed118b80e330c16f9e30946e25a9d78cbd618b7054a5eb9532028717eca37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007212-n000004.json b/manifests/batches/oproofs/s00002-r00007212-n000004.json
index 3a763c3c7472609d4b12f5dfca3fb5f9c29e7ba3..38be6bdb2d7e9ebda3be77532c3dcc5ba13043d5 100644
--- a/manifests/batches/oproofs/s00002-r00007212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007212-n000004",
   "batch_fingerprint": "c9a2a81cb5854d4d9b9735350adc2da415412a15de314bc8e24e2ca3b6564203",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007212-n000004-0000-a0ed9eb1af845956.parquet",
-      "sha256": "a0ed9eb1af84595633c1e00572ad8ecdf6bfc52507a420cbd9637ddcd4777c29",
-      "bytes": 457714,
-      "rows": 20,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007213.lean\",\"53c920c9d09403dc1e3ffd87b0ec4eb83fd4afb05854b960c353e3a0c3348a26\",0,\"lean_workbook_plus_47866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007214.lean\",\"88fb3adf32c1af1fc8fc4b693a2c0b82da08fb38645eed3569698fd0fe851165\",0,\"lean_workbook_plus_33755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007215.lean\",\"62ccddbe15101aab81c5f9bb0b829f9a0e6be1d35d4a619cad3abac63526f3fb\",0,\"lean_workbook_plus_69833\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 457714,
+      "path": "data/train/p98/oproofs-s00002-r00007212-n000004-0000-a0ed9eb1af845956.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a0ed9eb1af84595633c1e00572ad8ecdf6bfc52507a420cbd9637ddcd4777c29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007216-n000004.json b/manifests/batches/oproofs/s00002-r00007216-n000004.json
index 8b68b2c3a4c87b980dff2285d336652af40641d0..1e6615dc36c617c3f8a30ae3f3479a500c3119e9 100644
--- a/manifests/batches/oproofs/s00002-r00007216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007216-n000004",
   "batch_fingerprint": "493b745b5bb6d728e924dd96210138025a87ee128e8b3a52b3b4190688565860",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007216-n000004-0000-dae44ca5ffe1394b.parquet",
-      "sha256": "dae44ca5ffe1394b8c0508c6f699386a0521dc86ed7383ba1fdc3a0d5f0f9d9c",
-      "bytes": 140975,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007217.lean\",\"424dfecf6a4000208592299dcdb443e8a7ca42ee2b4e5ea6fa96f9954beadf67\",0,\"lean_workbook_plus_58887\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007218.lean\",\"ac3be8d48f2dadf647453fcdf618b6df3c0a3d35d30484814cd0c44b13dec656\",0,\"lean_workbook_plus_74320\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007219.lean\",\"f970af235eb46915700306536af5aaa07c1b5a89febe730003bf638c91ff30d5\",0,\"lean_workbook_plus_39326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140975,
+      "path": "data/train/p6b/oproofs-s00002-r00007216-n000004-0000-dae44ca5ffe1394b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "dae44ca5ffe1394b8c0508c6f699386a0521dc86ed7383ba1fdc3a0d5f0f9d9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007220-n000004.json b/manifests/batches/oproofs/s00002-r00007220-n000004.json
index 12769135ae3cebef1527fefdc84b17902b729ee4..61b6aa0f24289ba971c91a6a9f7a2c0e9bec2d50 100644
--- a/manifests/batches/oproofs/s00002-r00007220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007220-n000004",
   "batch_fingerprint": "f546c28c23481ca61623cdeb81a1ed5afc20d5159c000d761b19abca760e5686",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007220-n000004-0000-c18db7e81b9692d9.parquet",
-      "sha256": "c18db7e81b9692d9f3166a3bca399fa59a217b038ee3e9c2ba92b51e520614e4",
-      "bytes": 337954,
-      "rows": 10,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007220-n000004-0000-d3f981d31cac0989.parquet",
-      "sha256": "d3f981d31cac0989243366b21d557547e2f545682e5d3b3f62fd506319543b86",
-      "bytes": 144660,
-      "rows": 2,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007221.lean\",\"6ba77206aff3d29bf6e92059b9a82980c2a217616b67dabe916c459b2bff4196\",0,\"lean_workbook_56106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007222.lean\",\"4ca188ee4766518984db5579b63641394a7e56367b914fb0c98f57ab32a31db0\",0,\"lean_workbook_plus_28572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007223.lean\",\"658954ccbf2d28b168bce74280e7d14ca8ca8ee45cc7c79eb4c02f1ca218cb50\",0,\"lean_workbook_plus_39654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337954,
+      "path": "data/train/pad/oproofs-s00002-r00007220-n000004-0000-c18db7e81b9692d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c18db7e81b9692d9f3166a3bca399fa59a217b038ee3e9c2ba92b51e520614e4"
+    },
+    {
+      "bytes": 144660,
+      "path": "data/internal_test/pad/oproofs-s00002-r00007220-n000004-0000-d3f981d31cac0989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d3f981d31cac0989243366b21d557547e2f545682e5d3b3f62fd506319543b86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007224-n000004.json b/manifests/batches/oproofs/s00002-r00007224-n000004.json
index f4a96b09786b6f3cb427787d1dec510b5b679caa..09f5a69799a6350db85d55e10d911a8332a1fdd7 100644
--- a/manifests/batches/oproofs/s00002-r00007224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007224-n000004",
   "batch_fingerprint": "9e3eca2a1bdb05a948b8c4912d03f4c9f47360a8e70e8c99216b091b70db4a45",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007224-n000004-0000-87f02e2e992868ed.parquet",
-      "sha256": "87f02e2e992868edece23272fbb3cd590e152229bf5e6473c48832416dba0c91",
-      "bytes": 140093,
-      "rows": 8,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007224-n000004-0000-2440ad5b2a45f452.parquet",
-      "sha256": "2440ad5b2a45f4528fa3f8f4c6d4c48d1b9786564030aa27ae38cd8fee02d118",
-      "bytes": 59326,
-      "rows": 5,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7225",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007225.lean\",\"334fd00a4066079564524812543d79cb72769238ffce2e9c0e1415b57e73263b\",0,\"lean_workbook_plus_66743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007226.lean\",\"f12bfa1c3eae2ecb68f345f0270a1990c50fa8ee59bf30150315e76dcbcd53aa\",0,\"kaleb_savings\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007227.lean\",\"73fd9a865f6d3277f313c5cce5b92ab524a1d2cf65ca31171a296310bad55961\",0,\"square_diagonal_intersection_distance\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140093,
+      "path": "data/train/pc4/oproofs-s00002-r00007224-n000004-0000-87f02e2e992868ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "87f02e2e992868edece23272fbb3cd590e152229bf5e6473c48832416dba0c91"
+    },
+    {
+      "bytes": 59326,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00007224-n000004-0000-2440ad5b2a45f452.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2440ad5b2a45f4528fa3f8f4c6d4c48d1b9786564030aa27ae38cd8fee02d118"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007228-n000004.json b/manifests/batches/oproofs/s00002-r00007228-n000004.json
index 4a6bdb50d79caf6bd77a7cd98319256f2d2c5ee7..d7de9e8a7301abdb653dc9ce7dfce8a5841b23f1 100644
--- a/manifests/batches/oproofs/s00002-r00007228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007228-n000004",
   "batch_fingerprint": "649d19b496bf69bd2286ba05d7195b129c42b63b62458070dd2e1fd5fb36a0cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007228-n000004-0000-a841e0165a589b0b.parquet",
-      "sha256": "a841e0165a589b0b1326d4fe1b70261a36bdebc11967899017146d890a858f28",
-      "bytes": 127708,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007228-n000004-0000-c499bc39430b25bd.parquet",
-      "sha256": "c499bc39430b25bd0e9b9e944d864e9bd8a6a6b663bd08dc9ea969a85d0afeb2",
-      "bytes": 48584,
-      "rows": 5,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007229.lean\",\"7d8e472e7f7d4a8b9f8312a797d3f516106a4c9e6c5563a656b816133f0fe0b8\",0,\"lean_workbook_plus_82167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007230.lean\",\"0b94024d5a8c894f26407b22ab0e52c2a3032bec046cd4f8ce107e8c5f601bad\",0,\"sixth_power_of_complex_number\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007231.lean\",\"c268d6dd448a8d68b998f60ec272c4cb01e8ff667d601840524b6b3890c35fa0\",0,\"lean_workbook_plus_3090\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127708,
+      "path": "data/train/p53/oproofs-s00002-r00007228-n000004-0000-a841e0165a589b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a841e0165a589b0b1326d4fe1b70261a36bdebc11967899017146d890a858f28"
+    },
+    {
+      "bytes": 48584,
+      "path": "data/dev/p53/oproofs-s00002-r00007228-n000004-0000-c499bc39430b25bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c499bc39430b25bd0e9b9e944d864e9bd8a6a6b663bd08dc9ea969a85d0afeb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007232-n000004.json b/manifests/batches/oproofs/s00002-r00007232-n000004.json
index d5256775494be723e294a657193b1ad7f542f06c..16670445f0f6214600e01507de356aac260c7130 100644
--- a/manifests/batches/oproofs/s00002-r00007232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007232-n000004",
   "batch_fingerprint": "ad619da5918d0793437755a73bf67f13f3d6d554f2717d646ae759c4f6a12872",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7232",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7233",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7234",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7235"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007232.lean\",\"77e5433d2db0376ff51c2b0664de960c75fdcc2f82078d407c36b992f8cebaed\",0,\"lean_workbook_plus_13704\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007233.lean\",\"12ab112dbb59ef22a132855ea1cbaa83ee995a76a1317b2a93425ad130872102\",0,\"lean_workbook_53946\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007234.lean\",\"a5ef3c86b377fb59ffc47cf98d3ba21cd738e7d87c600723cc2b76020babd4ab\",0,\"lean_workbook_plus_19421\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007235.lean\",\"d7806065979a3b469a20f95a99d84bb4bf897fed9e9619430ac721e30e26dbaa\",0,\"lean_workbook_plus_18916\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007232-n000004-0000-9ba8a213bf788b7d.parquet",
-      "sha256": "9ba8a213bf788b7dbc3dc8ed44f168a33551361a01e4da84a22aa0b9f70068c1",
       "bytes": 89994,
+      "path": "data/train/p3d/oproofs-s00002-r00007232-n000004-0000-9ba8a213bf788b7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "7b9eb7f2806febb42a8c8f3cd42cd808cfd6fdff"
+      "sha256": "9ba8a213bf788b7dbc3dc8ed44f168a33551361a01e4da84a22aa0b9f70068c1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007232-n000004-0000-49e6e83d68777aab.parquet",
-      "sha256": "49e6e83d68777aab4bb9505a6c973f1b181376357caecbf19b594c27afa63b04",
       "bytes": 62742,
+      "path": "data/dev/p3d/oproofs-s00002-r00007232-n000004-0000-49e6e83d68777aab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "7b9eb7f2806febb42a8c8f3cd42cd808cfd6fdff"
+      "sha256": "49e6e83d68777aab4bb9505a6c973f1b181376357caecbf19b594c27afa63b04"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007232-n000004-0000-12b94a8e602370c3.parquet",
-      "sha256": "12b94a8e602370c3930db76579bb0256046416fd0becad16864d041ce9295f7a",
       "bytes": 363530,
+      "path": "data/internal_test/p3d/oproofs-s00002-r00007232-n000004-0000-12b94a8e602370c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "7b9eb7f2806febb42a8c8f3cd42cd808cfd6fdff"
+      "sha256": "12b94a8e602370c3930db76579bb0256046416fd0becad16864d041ce9295f7a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7232",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7233",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7234",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7235"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007232.lean\",\"77e5433d2db0376ff51c2b0664de960c75fdcc2f82078d407c36b992f8cebaed\",0,\"lean_workbook_plus_13704\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007233.lean\",\"12ab112dbb59ef22a132855ea1cbaa83ee995a76a1317b2a93425ad130872102\",0,\"lean_workbook_53946\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007234.lean\",\"a5ef3c86b377fb59ffc47cf98d3ba21cd738e7d87c600723cc2b76020babd4ab\",0,\"lean_workbook_plus_19421\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007235.lean\",\"d7806065979a3b469a20f95a99d84bb4bf897fed9e9619430ac721e30e26dbaa\",0,\"lean_workbook_plus_18916\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007236-n000004.json b/manifests/batches/oproofs/s00002-r00007236-n000004.json
index 91612f7463419a6de9f12d715857c01e45457fc2..5dd6c05029a057605791ed96c080eaf9d2144ede 100644
--- a/manifests/batches/oproofs/s00002-r00007236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007236-n000004",
   "batch_fingerprint": "fedc212d457f9a22a7dbf089649e4303c72548fb44cff5eda7f9245e31af5f08",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007236-n000004-0000-6f3c9ce315105fac.parquet",
-      "sha256": "6f3c9ce315105fac4fd8fb41ba732838b640178e61923690a9b329912cfc3316",
-      "bytes": 214104,
-      "rows": 12,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007236-n000004-0000-243b4dd9ffe8b4d0.parquet",
-      "sha256": "243b4dd9ffe8b4d0cd179a029b96dece7b82738d2070e8fcdc9b9ca5e2dc0ac9",
-      "bytes": 92525,
-      "rows": 2,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007237.lean\",\"b59c092ad71302528b2db20c9f639547060abd2fa7ad8fead84f892c6ea96c6c\",0,\"lean_workbook_plus_15077\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007238.lean\",\"27c8c7e66a08a139ab22243a29c34bd4eb36043d80284b6ecc9d1840431dcdd9\",0,\"lean_workbook_plus_5548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007239.lean\",\"94d3df8024a972017d0232a343a038849f98a91b2a3b463ea4f0c2038cb4507f\",0,\"lean_workbook_51829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214104,
+      "path": "data/train/pa5/oproofs-s00002-r00007236-n000004-0000-6f3c9ce315105fac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6f3c9ce315105fac4fd8fb41ba732838b640178e61923690a9b329912cfc3316"
+    },
+    {
+      "bytes": 92525,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00007236-n000004-0000-243b4dd9ffe8b4d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "243b4dd9ffe8b4d0cd179a029b96dece7b82738d2070e8fcdc9b9ca5e2dc0ac9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007240-n000004.json b/manifests/batches/oproofs/s00002-r00007240-n000004.json
index bdf6ebb381dbce1675904d6ff2280cd321050601..33b4ebb494bf45e6a50c75e80ee30d0b6c2ebee3 100644
--- a/manifests/batches/oproofs/s00002-r00007240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007240-n000004",
   "batch_fingerprint": "aa7ee24bbcbfd62abb428b702f19f7375656d7174a157de6d9762d080a699376",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007240-n000004-0000-3d732f9258825de2.parquet",
-      "sha256": "3d732f9258825de207075688d9a15749209f13880550043e4ba6a31de486b6b2",
-      "bytes": 286839,
-      "rows": 15,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007241.lean\",\"907613610371110019ff8964c06718744a601a4281b5179363d0ebd47dd6d7b5\",0,\"lean_workbook_plus_21693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007242.lean\",\"7559aae7f2132321f89a79f9827d3742fcca09ed625039d95316329627c692b7\",0,\"lean_workbook_42600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007243.lean\",\"019b1837f8a157fa342c5542eda7f60205e38664b19860db61cab41a915270de\",0,\"lean_workbook_plus_63994\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 286839,
+      "path": "data/train/pa7/oproofs-s00002-r00007240-n000004-0000-3d732f9258825de2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3d732f9258825de207075688d9a15749209f13880550043e4ba6a31de486b6b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007244-n000004.json b/manifests/batches/oproofs/s00002-r00007244-n000004.json
index 0d776d0715bd0629bc554bab01d6a02362eebd80..2ed820a405c5f86bda7f71d1b2422b5b9495e1f3 100644
--- a/manifests/batches/oproofs/s00002-r00007244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007244-n000004",
   "batch_fingerprint": "f8238693b4f82e81dcc7367cca18cc3bf2a0cfed85e5ea395a3ed89027d4a023",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007244-n000004-0000-7139624714555650.parquet",
-      "sha256": "7139624714555650877445aeca78ff00ec70a72c57fa3d35e6a9d9bbab3eecb6",
-      "bytes": 270996,
-      "rows": 10,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007244-n000004-0000-b311d379528a0402.parquet",
-      "sha256": "b311d379528a0402deb8d178f26194ecd0cb62ac4ff1e845889aed8b4bebb8f1",
-      "bytes": 85312,
-      "rows": 6,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7245",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007245.lean\",\"f167c7a42dd133ac725bb6e5bce8091195bacfe6376b46842533509e3213d8c8\",0,\"lean_workbook_plus_50102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007246.lean\",\"51ed92a6f60fa0fe65def5379a737e092b039893e051b0bd657fbb4dbf40b05f\",0,\"lean_workbook_plus_37938\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007247.lean\",\"a900ed6689fdf32b52ee03d5b21e321923fb7fd528be71f6b56ada357d8c81e7\",0,\"lean_workbook_plus_6345\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270996,
+      "path": "data/train/pd2/oproofs-s00002-r00007244-n000004-0000-7139624714555650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7139624714555650877445aeca78ff00ec70a72c57fa3d35e6a9d9bbab3eecb6"
+    },
+    {
+      "bytes": 85312,
+      "path": "data/internal_test/pd2/oproofs-s00002-r00007244-n000004-0000-b311d379528a0402.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b311d379528a0402deb8d178f26194ecd0cb62ac4ff1e845889aed8b4bebb8f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007248-n000004.json b/manifests/batches/oproofs/s00002-r00007248-n000004.json
index b27a3f2219bf8bc2d51542e225e1d388185ef920..24040210857872475e3dedef2b19b80effc364f0 100644
--- a/manifests/batches/oproofs/s00002-r00007248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007248-n000004",
   "batch_fingerprint": "29001a143a0c057eda0bb85ba7d9b763050d3d1a0b3f418f6eb0ab24a47f18d7",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000007/oproofs-s00002-r00007248-n000004-0000-ccc6e46a2610fc32.parquet",
-      "sha256": "ccc6e46a2610fc32795c713978f07346f349bbcf3fdeb4412249cdd03821d1c4",
-      "bytes": 564288,
-      "rows": 18,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7249",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7250",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007249.lean\",\"24ba36e5b9288bdddc47f1ea50ba18d3e7fd504b8df02758ff7c6c66d00146f1\",0,\"lean_workbook_plus_44603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007250.lean\",\"dd765fdab4c1ade4824e1a5f80cb784d0fc871d7fc3ab1d59abc6a53b3a9a345\",0,\"lean_workbook_plus_46088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007251.lean\",\"452a795ae5efb1fdfb0a406231a41060ad58c7b037030e080dbbc0685905f72b\",0,\"lean_workbook_plus_64235\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 564288,
+      "path": "data/train/pbb/oproofs-s00002-r00007248-n000004-0000-ccc6e46a2610fc32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ccc6e46a2610fc32795c713978f07346f349bbcf3fdeb4412249cdd03821d1c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007252-n000004.json b/manifests/batches/oproofs/s00002-r00007252-n000004.json
index 1c6a0cfe1ea39bd14396f5f6554102692c4bfa94..02e7b9850dc395e8cdacad9c795b5359031bad1e 100644
--- a/manifests/batches/oproofs/s00002-r00007252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007252-n000004",
   "batch_fingerprint": "85e4bbabb1c7c3906fd0fd61a2f4d3cec92b3f05dcef25cd4614875d819812f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007252-n000004-0000-6e6aaec8a35d8255.parquet",
-      "sha256": "6e6aaec8a35d82556796fec9ba7253c50bc72381191a4c8fdb9252c3f0c04209",
-      "bytes": 135017,
-      "rows": 12,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007253.lean\",\"23074b13ea9fb5096f5ae56eeb64a272a6ba184acb5af87d9309044d69f1958c\",0,\"lean_workbook_plus_3823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007254.lean\",\"13a0f1854c2330fa0da71650a6a0a12fd185a2e644a958b798ae2801819b1663\",0,\"lean_workbook_plus_39239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007255.lean\",\"69595170146b778c3f6805862d3a50ed02b7699215448075f5744a1612754f73\",0,\"lean_workbook_plus_80211\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135017,
+      "path": "data/train/p89/oproofs-s00002-r00007252-n000004-0000-6e6aaec8a35d8255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6e6aaec8a35d82556796fec9ba7253c50bc72381191a4c8fdb9252c3f0c04209"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007256-n000004.json b/manifests/batches/oproofs/s00002-r00007256-n000004.json
index 751a59b86c353ce077f27327a7cb413713b162b8..de47f1f80cdb3092749c2d801092be585c82f939 100644
--- a/manifests/batches/oproofs/s00002-r00007256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007256-n000004",
   "batch_fingerprint": "93e1c0a5d7c593984339284b9e6208814088dfa160ef5f44fc8e7187e7efe7d0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007256-n000004-0000-24e247da524cc176.parquet",
-      "sha256": "24e247da524cc17677e1eb015f187f16d9e91eacd400884e813727dc1df3d542",
-      "bytes": 120797,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007257.lean\",\"06e757898b28ec7ccb12304745cf733d9799ef2cad475fd442492e0b895f9ea2\",0,\"lean_workbook_plus_61643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007258.lean\",\"1a0369510d1f948e66830ad79bd07b92c58b1af1a2bded98ec539825795f5eb7\",0,\"lean_workbook_plus_13175\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007259.lean\",\"e0228879027fe1cdaf210dbc8231abf5a7f6ddd70053c88864adbddd891a32e4\",0,\"lean_workbook_plus_74976\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120797,
+      "path": "data/train/p4f/oproofs-s00002-r00007256-n000004-0000-24e247da524cc176.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "24e247da524cc17677e1eb015f187f16d9e91eacd400884e813727dc1df3d542"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007260-n000004.json b/manifests/batches/oproofs/s00002-r00007260-n000004.json
index 2da768d93547e993a3ab691b5b528cd237f24d0c..73b6c59316296f71c0d92218f3bb9ff98db3b079 100644
--- a/manifests/batches/oproofs/s00002-r00007260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007260-n000004",
   "batch_fingerprint": "037a2c78724d7c9259829ccc1400df8476663e1aedf7387ebc48dc995ae9b300",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007260-n000004-0000-a69c1b717b428f28.parquet",
-      "sha256": "a69c1b717b428f284ef72464d64d1bd200af557593b1f9cee4c9d4a4222d9cee",
-      "bytes": 272663,
-      "rows": 18,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007260-n000004-0000-38bc84b1f25ecaec.parquet",
-      "sha256": "38bc84b1f25ecaec90c392179eae444a8b6a02870f6ead748b9ad117c1c89f5f",
-      "bytes": 71199,
-      "rows": 6,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007261.lean\",\"06303695fbee806203d0e95f925846067a39d178c57a6bb607ed19ce0d7d5812\",0,\"lean_workbook_46645\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007262.lean\",\"f01358cf85bd786920c7b7f4dc29597c5c56f5da0b09258c6c086330cb384a50\",0,\"lean_workbook_plus_46217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007263.lean\",\"59fed9fe8657944d5a11d1635f354ce90516f65293a19c82086f2b7d3ca1027f\",0,\"lean_workbook_plus_26437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272663,
+      "path": "data/train/pd2/oproofs-s00002-r00007260-n000004-0000-a69c1b717b428f28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a69c1b717b428f284ef72464d64d1bd200af557593b1f9cee4c9d4a4222d9cee"
+    },
+    {
+      "bytes": 71199,
+      "path": "data/dev/pd2/oproofs-s00002-r00007260-n000004-0000-38bc84b1f25ecaec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "38bc84b1f25ecaec90c392179eae444a8b6a02870f6ead748b9ad117c1c89f5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007264-n000004.json b/manifests/batches/oproofs/s00002-r00007264-n000004.json
index 0b55ba04c67cc96a4342b172637ad24263f5e98a..a9789fd21249f5b68f926c660e93a2079339cfea 100644
--- a/manifests/batches/oproofs/s00002-r00007264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007264-n000004",
   "batch_fingerprint": "b98f15037143745ae258c7fa6af816048d05db89e901f5d5e9b9fd25e96eba8b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007264-n000004-0000-ebf8de088f382f02.parquet",
-      "sha256": "ebf8de088f382f024ae48da23062d8654dc4092b40147bc7736a965020146593",
-      "bytes": 396336,
-      "rows": 18,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7265",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007265.lean\",\"f78dbd79b6c77a794ecc8ee9bac92447cfba75012004116a4e8276b922e09595\",0,\"lean_workbook_plus_54460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007266.lean\",\"24e46f85cebf5dc46d0d4463f1a42e6f0b107a3d08f14592bf38f13b4f991db0\",0,\"lean_workbook_plus_64071\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007267.lean\",\"9c722db9ce93ec79d4bed822b7a3f95c2462a62a4203c6a5d9b58bc7ad10b56a\",0,\"lean_workbook_plus_42559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396336,
+      "path": "data/train/p1f/oproofs-s00002-r00007264-n000004-0000-ebf8de088f382f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ebf8de088f382f024ae48da23062d8654dc4092b40147bc7736a965020146593"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007268-n000004.json b/manifests/batches/oproofs/s00002-r00007268-n000004.json
index 7235abef9b6e2374cbe54f292dd47e14280ab0b2..1dc9f524417b82cdf2ba4b5d6ae5841d659ba149 100644
--- a/manifests/batches/oproofs/s00002-r00007268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007268-n000004",
   "batch_fingerprint": "283672f094c74aa645fcc9905c0a54e5590ba4ab5a4771345cb4dde7d03bcd21",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007268-n000004-0000-41565c76e2fbe6ae.parquet",
-      "sha256": "41565c76e2fbe6ae6f82dbfb4742d73d22b964b92cbf935cc0cacc821f639cc1",
-      "bytes": 235470,
-      "rows": 15,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007268-n000004-0000-e863a17da08e2d9f.parquet",
-      "sha256": "e863a17da08e2d9fc71196b2cd0d1a1078e2ed70b2c9a1f2d9a3aaf4984c96fe",
-      "bytes": 50189,
-      "rows": 6,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7269",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007269.lean\",\"9ab11ef42600a524917472b7ebe8a2826e44eb35238b83e05d019627f078b066\",0,\"pizza_order\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007270.lean\",\"f24516a7e91f5e147e55ed50d562abb5bf12c5cf90c1518cf57923e7905550e6\",0,\"lean_workbook_plus_43556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007271.lean\",\"ce30053f8ed746489f65966a4ac9f780e013ac45b94c9c6149534dbe59c9b339\",0,\"lean_workbook_plus_11383\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235470,
+      "path": "data/train/p9d/oproofs-s00002-r00007268-n000004-0000-41565c76e2fbe6ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "41565c76e2fbe6ae6f82dbfb4742d73d22b964b92cbf935cc0cacc821f639cc1"
+    },
+    {
+      "bytes": 50189,
+      "path": "data/dev/p9d/oproofs-s00002-r00007268-n000004-0000-e863a17da08e2d9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e863a17da08e2d9fc71196b2cd0d1a1078e2ed70b2c9a1f2d9a3aaf4984c96fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007272-n000004.json b/manifests/batches/oproofs/s00002-r00007272-n000004.json
index 10a31239129997bb48f43af9a526afdc7138ee91..f079ec4f37e3ee7ca8c49313612a01d96789aa93 100644
--- a/manifests/batches/oproofs/s00002-r00007272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007272-n000004",
   "batch_fingerprint": "ed44a27ea06505cfa65e1c624e38916265d160858f62bfd4aa24f5cc868debb0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007272-n000004-0000-8fc42c2b28ee81bd.parquet",
-      "sha256": "8fc42c2b28ee81bd0675e3b20a7f07ddd4ab02aac97d3a26c0643145feb7103a",
-      "bytes": 167066,
-      "rows": 14,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007273.lean\",\"2c4aeea3eee6cf76d9749bd3fcabda5520a0d2eda59686d44d07ce12183d8837\",0,\"lean_workbook_plus_25398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007274.lean\",\"3d79b9612d50b4669a1a75f3362ee68dc40eea6d5a14568afa9485df003ab2de\",0,\"lean_workbook_plus_42083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007275.lean\",\"17058695bfc77ab4834b755f2b5c6c6ed9b670130455fa178956ee210cf9daca\",0,\"lean_workbook_plus_75069\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167066,
+      "path": "data/train/p26/oproofs-s00002-r00007272-n000004-0000-8fc42c2b28ee81bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8fc42c2b28ee81bd0675e3b20a7f07ddd4ab02aac97d3a26c0643145feb7103a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007276-n000004.json b/manifests/batches/oproofs/s00002-r00007276-n000004.json
index 276c3f6d0d357fbc3baf3a477db6a8f58f980e8f..436b2e5ed2466f3f42c0cd51eb1f68e6d078996d 100644
--- a/manifests/batches/oproofs/s00002-r00007276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007276-n000004",
   "batch_fingerprint": "e0a747de9b7e6d7c767e6b65d1beaf72eeb68b608cd4a895a1e8faefd5fbb71e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007276-n000004-0000-8fe2eaa5fb37f75f.parquet",
-      "sha256": "8fe2eaa5fb37f75f51476524d14338d9b21817b16af55cea56abe73b34fe08f4",
-      "bytes": 162946,
-      "rows": 14,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007277.lean\",\"4cad99ae9d77a9c41276362aeb3ee06d6e984eb8ae7aa26d6486524c51ceef9d\",0,\"lean_workbook_plus_13757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007278.lean\",\"c32e7e8c2996b406160c0ad214ad226340abb922625f61921f043499975d81df\",0,\"lean_workbook_plus_47425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007279.lean\",\"f11f4425fb748456a34ee48d7e468eacf3295b9c69099991e88fb22ef4a94765\",0,\"lean_workbook_plus_52330\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162946,
+      "path": "data/train/p5c/oproofs-s00002-r00007276-n000004-0000-8fe2eaa5fb37f75f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8fe2eaa5fb37f75f51476524d14338d9b21817b16af55cea56abe73b34fe08f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007280-n000004.json b/manifests/batches/oproofs/s00002-r00007280-n000004.json
index 45dfa5b2860b5c1bd57e9bb60e6ed46dc8e595fb..ab6bfffe7b2cc1e1a67a6dab69ebfb380f41d52e 100644
--- a/manifests/batches/oproofs/s00002-r00007280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007280-n000004",
   "batch_fingerprint": "7828d9fd4793692fdacd0864d2e4ff80ada3e3c86d54da2cbf66973c71df9522",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007280-n000004-0000-c6838e10c626bf9d.parquet",
-      "sha256": "c6838e10c626bf9d77bee29d723a0cbb2cbe16ed6486306e32bd190d1e3bb899",
-      "bytes": 129123,
-      "rows": 8,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007280-n000004-0000-9b2f2510cd6f6465.parquet",
-      "sha256": "9b2f2510cd6f6465397dd5e6990ef15869c21c1016d11bd9cfaf569a63d6e3a7",
-      "bytes": 60906,
-      "rows": 2,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007281.lean\",\"f3c74968cd0ab75b1c1f00db804bd35d45f2abd95277035d2a8f0573bb48b116\",0,\"lean_workbook_plus_56378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007282.lean\",\"e414b2d8ff01fa6cc961aa78d472442756a2d635a452ad32a9a3bc5b81565994\",0,\"lean_workbook_plus_43931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007283.lean\",\"0159eed148b8005134b81c669a7792f43832f3bb1c1cc098cb430392bf587237\",0,\"lean_workbook_plus_21856\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129123,
+      "path": "data/train/p79/oproofs-s00002-r00007280-n000004-0000-c6838e10c626bf9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c6838e10c626bf9d77bee29d723a0cbb2cbe16ed6486306e32bd190d1e3bb899"
+    },
+    {
+      "bytes": 60906,
+      "path": "data/internal_test/p79/oproofs-s00002-r00007280-n000004-0000-9b2f2510cd6f6465.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9b2f2510cd6f6465397dd5e6990ef15869c21c1016d11bd9cfaf569a63d6e3a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007284-n000004.json b/manifests/batches/oproofs/s00002-r00007284-n000004.json
index 725fd06d8fc0df0ffb8006d694ca1ec55b244555..988dde640a4585286611a17f00a5e830ec2772f3 100644
--- a/manifests/batches/oproofs/s00002-r00007284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007284-n000004",
   "batch_fingerprint": "f17f415521c5691b2e7057c8219cba2bb7879c761a22cbbe64236e88594da006",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007284-n000004-0000-7e4cf1f34c026604.parquet",
-      "sha256": "7e4cf1f34c026604f146ca83b9a6c254b5c04ed934197e7ab44bf89d8535cdce",
-      "bytes": 245749,
-      "rows": 15,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007285.lean\",\"6631fad24a6350f9297b4c2960fe4e27981b52511f99af10a2db1fdda2049659\",0,\"lean_workbook_plus_81423\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007286.lean\",\"4e4984c0a2d7dd5f7759c15a63b8c93cef79372508d25d0845cc58e094e2fa79\",0,\"lean_workbook_47108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007287.lean\",\"8619aa3c569b272f2c83c8f33fe1a0f742594d9f42f5bb466f43be33dd39d723\",0,\"lean_workbook_plus_56034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245749,
+      "path": "data/train/pee/oproofs-s00002-r00007284-n000004-0000-7e4cf1f34c026604.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7e4cf1f34c026604f146ca83b9a6c254b5c04ed934197e7ab44bf89d8535cdce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007288-n000004.json b/manifests/batches/oproofs/s00002-r00007288-n000004.json
index 71750dc1e2de014350e415f2ed926c0421103000..2df873bcfc588bfea5fd124bbc97b5eb8c548bff 100644
--- a/manifests/batches/oproofs/s00002-r00007288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007288-n000004",
   "batch_fingerprint": "92834d720d43b9ecbf8159279a7a378d28c237eecc3e7474c7b0daa019a40796",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007288-n000004-0000-de81564a22886534.parquet",
-      "sha256": "de81564a22886534531b40cc7b2df3c07770d8307434aa93023249db0e1f5899",
-      "bytes": 149922,
-      "rows": 16,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007288-n000004-0000-8c87e6bbaf0e4cf6.parquet",
-      "sha256": "8c87e6bbaf0e4cf6089d7e6adec69923dc86cb73d3ac86b5661f4c5c581804ac",
-      "bytes": 50383,
-      "rows": 3,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007289.lean\",\"402715c87aa66c548b5ad89a2295df5c3abcccc1629ca6074787ff4add037c13\",0,\"lean_workbook_11157\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007290.lean\",\"a9240a7b36f1b33bd21b0e2938d26a52e5baa1819f5ebd7f2b35ad2db03c09e6\",0,\"lean_workbook_plus_40034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007291.lean\",\"4d95ecf2015c88d4e666864fa89a8f91c52bfcca13f302a664de2aad65b5d1e1\",0,\"lean_workbook_30850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149922,
+      "path": "data/train/p48/oproofs-s00002-r00007288-n000004-0000-de81564a22886534.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "de81564a22886534531b40cc7b2df3c07770d8307434aa93023249db0e1f5899"
+    },
+    {
+      "bytes": 50383,
+      "path": "data/internal_test/p48/oproofs-s00002-r00007288-n000004-0000-8c87e6bbaf0e4cf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8c87e6bbaf0e4cf6089d7e6adec69923dc86cb73d3ac86b5661f4c5c581804ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007292-n000004.json b/manifests/batches/oproofs/s00002-r00007292-n000004.json
index 51ade06058fb6e5a1f9ba3cfd5b96b7d7a661a7a..d443b64ce380840173da56cab828747fa3c9d3ee 100644
--- a/manifests/batches/oproofs/s00002-r00007292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007292-n000004",
   "batch_fingerprint": "b6df11fa7aff24cfcfddca3a3c2aeb6f21cfa60a3e2e71ac9412a1357f8fd778",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007292-n000004-0000-efff491a18b28a6b.parquet",
-      "sha256": "efff491a18b28a6b924e2c134436647ecdd83504c0af274244ce2c7eea67e9f2",
-      "bytes": 137006,
-      "rows": 13,
-      "revision": "f5e0dbebae0ec17a63604193349d7b2e23d1c9d2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007293.lean\",\"15312ef2f54e9001d128e2c933cf79c9ed34763075eac430077661680f6f31ac\",0,\"lean_workbook_plus_50939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007294.lean\",\"d70c729780779c06bc9609c0ee98af26a88a3dc5c30f6d654bac08469a159a40\",0,\"lean_workbook_plus_48113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007295.lean\",\"b2832fab0dca9ded8dcd3dab11b9ce143d6c84e51f09e2b6585b91eacaadf974\",0,\"lean_workbook_plus_79346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137006,
+      "path": "data/train/p12/oproofs-s00002-r00007292-n000004-0000-efff491a18b28a6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "efff491a18b28a6b924e2c134436647ecdd83504c0af274244ce2c7eea67e9f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007296-n000004.json b/manifests/batches/oproofs/s00002-r00007296-n000004.json
index 96f54547172a9bd5afefb1fe2ebd4810b8fb2555..afb320dacc1ab4f6d4ccacdc21f9f6f5823da7a7 100644
--- a/manifests/batches/oproofs/s00002-r00007296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007296-n000004",
   "batch_fingerprint": "48f641389e58961deb79fd5b1e39cc05246086f37c59b76397018479f4757b6f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007296-n000004-0000-6e4ab21885f753e9.parquet",
-      "sha256": "6e4ab21885f753e97bea9bbda9e95252e64c67784c71c6c520ca2642a2b51430",
-      "bytes": 407042,
-      "rows": 26,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007297.lean\",\"8e68b87896af05576233bf53263593b9c97eaa0bb08850503ab897fb747c75e9\",0,\"lean_workbook_plus_31996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007298.lean\",\"5d30ad9ba5f405262a4b59c9875a973a4ff3a8b68ba892096f9fa799397f05d3\",0,\"lean_workbook_10107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007299.lean\",\"99bd50115462d94bfe79ac4f6c6415dd2bb90b6ce077f1920a6304c717f1eac9\",0,\"lean_workbook_plus_50489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407042,
+      "path": "data/train/p12/oproofs-s00002-r00007296-n000004-0000-6e4ab21885f753e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "6e4ab21885f753e97bea9bbda9e95252e64c67784c71c6c520ca2642a2b51430"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007300-n000004.json b/manifests/batches/oproofs/s00002-r00007300-n000004.json
index 127cb43e001e66d9fa1b78f25af7f456504393f2..20489d97f17c42b352c22b5b636648fc8a2f1e12 100644
--- a/manifests/batches/oproofs/s00002-r00007300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007300-n000004",
   "batch_fingerprint": "7992eef7030418c719bf87ace2601d6e3ac701f92960bc232617d498e0fbfb0f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007300-n000004-0000-ba14dada3d1b4d47.parquet",
-      "sha256": "ba14dada3d1b4d47a36a4bd0553f8681c737385b4838d44b3f2bd121e70a8611",
-      "bytes": 200960,
-      "rows": 11,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007300-n000004-0000-6e6cbc1a459a957e.parquet",
-      "sha256": "6e6cbc1a459a957e0a9ae97c1b6becc1758b4c70618248ccfbf6458431a2a2e5",
-      "bytes": 84257,
-      "rows": 7,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7301",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007301.lean\",\"6af823f1bb6c740f4735f0096221f7ae8d8088ca53f6fe94947b4de0cc5b31e5\",0,\"lean_workbook_plus_43080\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007302.lean\",\"09fbe86000d8108e4eb6427c812ca6373d5400b8de0def107b4e2f08b7a123f0\",0,\"lean_workbook_plus_60577\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007303.lean\",\"baaa89fbc5b7befd9e97f7b12fb52b569ef11174c539a50e654bc69c345aedf2\",0,\"lean_workbook_plus_20399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200960,
+      "path": "data/train/pf2/oproofs-s00002-r00007300-n000004-0000-ba14dada3d1b4d47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ba14dada3d1b4d47a36a4bd0553f8681c737385b4838d44b3f2bd121e70a8611"
+    },
+    {
+      "bytes": 84257,
+      "path": "data/internal_test/pf2/oproofs-s00002-r00007300-n000004-0000-6e6cbc1a459a957e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6e6cbc1a459a957e0a9ae97c1b6becc1758b4c70618248ccfbf6458431a2a2e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007304-n000004.json b/manifests/batches/oproofs/s00002-r00007304-n000004.json
index ab4c6aa6a1408a9ab0a2870511a045f17185384b..2c69a2352fee321c5c5a5ef99b7a24c023c963c9 100644
--- a/manifests/batches/oproofs/s00002-r00007304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007304-n000004",
   "batch_fingerprint": "da094a9e05fe2d95fb589824aadbc8c592ee709b5d07dfa540b468f3e292e56f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007304-n000004-0000-871b7f53ada140c2.parquet",
-      "sha256": "871b7f53ada140c2d794e4bc5b56e610e5706ea53aff0d08de1f5fa4da808029",
-      "bytes": 201035,
-      "rows": 29,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007305.lean\",\"16730bdc6fbc5dfef7d7e83d5a55e1e1219145425ce578a9b85f4008fc8e8992\",0,\"lean_workbook_plus_8800\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007306.lean\",\"68720e60bccfddaa93009930672b58a7677c1f9a22609622e780b912382b68fa\",0,\"lean_workbook_plus_57881\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007307.lean\",\"6eccf3bf2085813f73df3bb05eb0e5957738e64165baa6b6a539fbc6a5572be9\",0,\"lean_workbook_plus_79301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201035,
+      "path": "data/train/p1d/oproofs-s00002-r00007304-n000004-0000-871b7f53ada140c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "871b7f53ada140c2d794e4bc5b56e610e5706ea53aff0d08de1f5fa4da808029"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007308-n000004.json b/manifests/batches/oproofs/s00002-r00007308-n000004.json
index 8a3a61768e1c17937be3f2b9b60251bbbd8aff26..3d2b20cd0500d382a8bad825376a441388989416 100644
--- a/manifests/batches/oproofs/s00002-r00007308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007308-n000004",
   "batch_fingerprint": "66e56e7c4411e818710ea003b3bac28ff840e284ffa57ea61ebef510ce740b51",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007308-n000004-0000-0d2533d2a27bf73f.parquet",
-      "sha256": "0d2533d2a27bf73fecd39c6dd8afa651b3b6d758731e3bd7eaaa1064555c26e2",
-      "bytes": 67647,
-      "rows": 5,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007308-n000004-0000-110098a8a71791d8.parquet",
-      "sha256": "110098a8a71791d878605240058360469c1a51d1ba112f3d9b7671b53003514b",
-      "bytes": 152853,
-      "rows": 6,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007309.lean\",\"e8eb0a05b5669faa5dc88da85e0383a149ac9bc899851afe2aed707b9bd865ae\",0,\"lean_workbook_plus_51558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007310.lean\",\"a6d157fabf4303bc19ba4a2f727f62f87791428194956a7120923416100d7e34\",0,\"lean_workbook_plus_30095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007311.lean\",\"8d192c779017c9a6f5a9ab664e98da4c49a2c7ea6018c1c4ef54866ebcf5397b\",0,\"lean_workbook_plus_66951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67647,
+      "path": "data/train/p18/oproofs-s00002-r00007308-n000004-0000-0d2533d2a27bf73f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0d2533d2a27bf73fecd39c6dd8afa651b3b6d758731e3bd7eaaa1064555c26e2"
+    },
+    {
+      "bytes": 152853,
+      "path": "data/internal_test/p18/oproofs-s00002-r00007308-n000004-0000-110098a8a71791d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "110098a8a71791d878605240058360469c1a51d1ba112f3d9b7671b53003514b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007312-n000004.json b/manifests/batches/oproofs/s00002-r00007312-n000004.json
index 60932401df52014f175eaa6e8eb1ea399a36e34e..19c40433ab37f5f335ac68e44837a0c04aa83180 100644
--- a/manifests/batches/oproofs/s00002-r00007312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007312-n000004",
   "batch_fingerprint": "5baca5d5b1f2f85f1a2f5fb9e37f0a01c230fc3bae5b2ae7ee70a1e7a5f3c918",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007312-n000004-0000-af180eb39980dfd6.parquet",
-      "sha256": "af180eb39980dfd641a4d2025bf97ac6f530832c50822693ea773034f34ab235",
-      "bytes": 146411,
-      "rows": 8,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007312-n000004-0000-4e9bdbc06fbaaee9.parquet",
-      "sha256": "4e9bdbc06fbaaee9824664a669586d70f4e4d6843e2857c7a305c1b5a91daf54",
-      "bytes": 105744,
-      "rows": 4,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7313",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007313.lean\",\"52900b3bf888d8ce3e02eecab11aa960b1e18652bf609341f95c564139d94c6f\",0,\"lean_workbook_plus_79761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007314.lean\",\"e547a2d186f45f132f18e0505c018fcbdc2798c1fc27fab49102ae6e7d6b6090\",0,\"lean_workbook_38848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007315.lean\",\"616b268a223b30a36a47031931bd356e60b5077f78f28546cb7b95507c360e8f\",0,\"lean_workbook_plus_39449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146411,
+      "path": "data/train/paf/oproofs-s00002-r00007312-n000004-0000-af180eb39980dfd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "af180eb39980dfd641a4d2025bf97ac6f530832c50822693ea773034f34ab235"
+    },
+    {
+      "bytes": 105744,
+      "path": "data/dev/paf/oproofs-s00002-r00007312-n000004-0000-4e9bdbc06fbaaee9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4e9bdbc06fbaaee9824664a669586d70f4e4d6843e2857c7a305c1b5a91daf54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007316-n000004.json b/manifests/batches/oproofs/s00002-r00007316-n000004.json
index 84905a4d49082a9584d709d95affe7a79617100a..82511344d0479b0df27299f835d46998acd803c9 100644
--- a/manifests/batches/oproofs/s00002-r00007316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007316-n000004",
   "batch_fingerprint": "44d3167af8308a8bf81118c5c16b5aea3c9ba5375d5d8d6948a0fd47f54a8e78",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007316-n000004-0000-949dbdaf0d2a94d8.parquet",
-      "sha256": "949dbdaf0d2a94d87257482c6d5f2bf7410ae0ce4eeae30e4dbd5d2164b6ad84",
-      "bytes": 195195,
-      "rows": 16,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007317.lean\",\"443290941e20c8f0d6debe431f4081f3f74884e1e36f4cbcac5b8d891f9357aa\",0,\"lean_workbook_plus_39892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007318.lean\",\"9bf76d3a58c391832df44d2a192324425d2f89e5e0853640a9d6464daea7efe9\",0,\"lean_workbook_plus_47440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007319.lean\",\"999463acedbd8fa4e6d226ee3269dfe9b0e99b3bd1b705e2162e6a919c71759f\",0,\"lean_workbook_1977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195195,
+      "path": "data/train/p11/oproofs-s00002-r00007316-n000004-0000-949dbdaf0d2a94d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "949dbdaf0d2a94d87257482c6d5f2bf7410ae0ce4eeae30e4dbd5d2164b6ad84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007320-n000004.json b/manifests/batches/oproofs/s00002-r00007320-n000004.json
index 712c37f2e4d72d1fc6d90962c5deef4e1c507460..5d56e6b84b1981414a37463c1c8815563934d466 100644
--- a/manifests/batches/oproofs/s00002-r00007320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007320-n000004",
   "batch_fingerprint": "57997780212bd57108d05b534da687374faf9ca57a0a8d256886c6a4d01d8619",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007320-n000004-0000-12237d1fc7b9f3ae.parquet",
-      "sha256": "12237d1fc7b9f3ae57f136ef6647d26f08035e60a8a165653ceba2c5189b6bbf",
-      "bytes": 47634,
-      "rows": 3,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007320-n000004-0000-dfaea004b99846ff.parquet",
-      "sha256": "dfaea004b99846ff22710fb4437c37c2805fb3a376637271ae1e03a346c62eb5",
-      "bytes": 375946,
-      "rows": 15,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007321.lean\",\"928e53f926a315a9abc7818dc15a0aacc6698b377a7c82e18929312805278d57\",0,\"lean_workbook_10870\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007322.lean\",\"9893ce6d75db3f6f5cd55e08076238785734d0b5d612385865c63c003c9f9168\",0,\"lean_workbook_plus_34775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007323.lean\",\"69cba391cc074745c983ab2fc764410c945dcc573cdbf8143f2b638da6e133ed\",0,\"lean_workbook_plus_35778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47634,
+      "path": "data/train/pe2/oproofs-s00002-r00007320-n000004-0000-12237d1fc7b9f3ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "12237d1fc7b9f3ae57f136ef6647d26f08035e60a8a165653ceba2c5189b6bbf"
+    },
+    {
+      "bytes": 375946,
+      "path": "data/internal_test/pe2/oproofs-s00002-r00007320-n000004-0000-dfaea004b99846ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "dfaea004b99846ff22710fb4437c37c2805fb3a376637271ae1e03a346c62eb5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007324-n000004.json b/manifests/batches/oproofs/s00002-r00007324-n000004.json
index 04d09cf122b74bf05db036990877bf001e1d136d..59da22bb4a6190df825a7f759d4d3b495a6d68e4 100644
--- a/manifests/batches/oproofs/s00002-r00007324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007324-n000004",
   "batch_fingerprint": "ffbb9dcf096e7f782519d708956dbdcbcaace13ca9a2cdcfe1a055e5e343590c",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007324-n000004-0000-d588e1c372262d4e.parquet",
-      "sha256": "d588e1c372262d4e7d107e7105542ff903794bbe2ad98d6548c7826d9ec46121",
-      "bytes": 407100,
-      "rows": 11,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007324-n000004-0000-14755133098bb407.parquet",
-      "sha256": "14755133098bb4077f86edc6846f919bd52797d6446a7ffbf9c6b58856f838f3",
-      "bytes": 54127,
-      "rows": 2,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7325",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7326",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007325.lean\",\"af1b8bc24d75220b80d6f4a5e4ae8c72717a6e41bc2e8d9c3e88b4da2a541c26\",0,\"lean_workbook_plus_75542\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007326.lean\",\"668ea1498bb4f4fea1502fa96974892fa1314455d51546401cc33c80b82a4f3e\",0,\"lean_workbook_48930\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007327.lean\",\"1f2d74955ce0c2d56244f031f20c4d48c30811719304f40a5a7f068188c03394\",0,\"lean_workbook_plus_70803\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 407100,
+      "path": "data/train/p90/oproofs-s00002-r00007324-n000004-0000-d588e1c372262d4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d588e1c372262d4e7d107e7105542ff903794bbe2ad98d6548c7826d9ec46121"
+    },
+    {
+      "bytes": 54127,
+      "path": "data/internal_test/p90/oproofs-s00002-r00007324-n000004-0000-14755133098bb407.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "14755133098bb4077f86edc6846f919bd52797d6446a7ffbf9c6b58856f838f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007328-n000004.json b/manifests/batches/oproofs/s00002-r00007328-n000004.json
index 82731a18f4caeae2788146a3efe6106deac9f049..3258036d8bfa1fb46e4b6a6b0864124aa52ce35a 100644
--- a/manifests/batches/oproofs/s00002-r00007328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007328-n000004",
   "batch_fingerprint": "e519e6826e5631e5fe8302e965b7b82f0472f19fcc396ea221eac1f4934eeb6b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007328-n000004-0000-726c2634f3c33ca3.parquet",
-      "sha256": "726c2634f3c33ca321a0a7a25e86f827a19afdd6101117f6779801042694558a",
-      "bytes": 110136,
-      "rows": 8,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007328-n000004-0000-bcd551d77ffe3733.parquet",
-      "sha256": "bcd551d77ffe37337d8ac35c952b85ab9a7ad51bdd2d450b639aa0f46c0db613",
-      "bytes": 85634,
-      "rows": 4,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007329.lean\",\"66a5afe99b4a310ac24b8f027fcd816134f2356bbd6ad08d32a11b52bac4f5d9\",0,\"lean_workbook_plus_13175\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007330.lean\",\"57fe20c493f687d6419dad7857cf5f65ae2d56cac35effbfcc594565b28dc5f6\",0,\"lean_workbook_plus_3823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007331.lean\",\"c822325f22ef2e84fe3b128bdad9ac3fac748d70277e0b52f543cc565f7815c7\",0,\"lean_workbook_plus_20406\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110136,
+      "path": "data/train/p0c/oproofs-s00002-r00007328-n000004-0000-726c2634f3c33ca3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "726c2634f3c33ca321a0a7a25e86f827a19afdd6101117f6779801042694558a"
+    },
+    {
+      "bytes": 85634,
+      "path": "data/dev/p0c/oproofs-s00002-r00007328-n000004-0000-bcd551d77ffe3733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bcd551d77ffe37337d8ac35c952b85ab9a7ad51bdd2d450b639aa0f46c0db613"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007332-n000004.json b/manifests/batches/oproofs/s00002-r00007332-n000004.json
index 9ff82afe93f8b34d967cd227814172442325d4ce..7aea5a3ac13fcd876cf98706fe24e5eff8e0eac2 100644
--- a/manifests/batches/oproofs/s00002-r00007332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007332-n000004",
   "batch_fingerprint": "71ac76c78d6b0fd2de78911584a0d8a58c50bcf44aa881b94f0e64bf19285558",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007332-n000004-0000-34b6de64e852ea1a.parquet",
-      "sha256": "34b6de64e852ea1a111fe7507efbe45b7f65c82f349add542e6fe5da0b1a0915",
-      "bytes": 168473,
-      "rows": 21,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007333.lean\",\"4e2bd86487df36af821053cf7b781cd2aa6f62424b02f645a99836443193ca0b\",0,\"lean_workbook_plus_80211\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007334.lean\",\"af902b13c1a7aba383bb95de259deb6b3b2cb9f1f0a3f18a368761c967a779da\",0,\"lean_workbook_plus_26437\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007335.lean\",\"e9b620716b757feb08f3c31bff20e1f0cb36eb8035c8c31607e0850656f22d33\",0,\"lean_workbook_plus_54460\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168473,
+      "path": "data/train/pdf/oproofs-s00002-r00007332-n000004-0000-34b6de64e852ea1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "34b6de64e852ea1a111fe7507efbe45b7f65c82f349add542e6fe5da0b1a0915"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007336-n000004.json b/manifests/batches/oproofs/s00002-r00007336-n000004.json
index 943b5a9ff3eedf9db7d59e4c56dc39869eaeb4be..3cbe673d7f71432a248f12b743dfbc7e4733bd21 100644
--- a/manifests/batches/oproofs/s00002-r00007336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007336-n000004",
   "batch_fingerprint": "0c4b1fe0dffc5361c545fb578ca1a0d47619797be32256b23b5486133c404f4c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007336-n000004-0000-9a681ee0585d05e1.parquet",
-      "sha256": "9a681ee0585d05e1945131c076b8ee130666f795490fc398d88ad8baadae1c81",
-      "bytes": 440397,
-      "rows": 27,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007337.lean\",\"67a3fd1f3f5689ad28e10085ab7d6c21a99196e26314ed3ca60defba34b87454\",0,\"lean_workbook_46645\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007338.lean\",\"b58d7cf3a8fc7634188df19c5a85a59f51dbbb486275090758a64e9df1f9982d\",0,\"lean_workbook_plus_46217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007339.lean\",\"a0fec9980bf0b12afdb831733a1eebc2a37779ee078ff236803ac308a5173cd2\",0,\"lean_workbook_plus_42559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440397,
+      "path": "data/train/pf6/oproofs-s00002-r00007336-n000004-0000-9a681ee0585d05e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9a681ee0585d05e1945131c076b8ee130666f795490fc398d88ad8baadae1c81"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007340-n000004.json b/manifests/batches/oproofs/s00002-r00007340-n000004.json
index b5fb1a6de634240e9c3ad11618154fc699bbabdb..936737316513917f79c6d7815365e2f19dbb1a93 100644
--- a/manifests/batches/oproofs/s00002-r00007340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007340-n000004",
   "batch_fingerprint": "6c6ac85c60b996c9220012a21d0a9fec8d2138b5280c8a08f4b8ad041066bffa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007340-n000004-0000-779612d15f4c4b59.parquet",
-      "sha256": "779612d15f4c4b59f11fb0acf856da69e4e3e0fd557c83f52057af5e3707cd22",
-      "bytes": 236474,
-      "rows": 16,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007340-n000004-0000-c3085745bf1d844c.parquet",
-      "sha256": "c3085745bf1d844c9fd6afbdbcbe35157bddaa2cdc7efd2458ad598027753704",
-      "bytes": 76721,
-      "rows": 3,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007341.lean\",\"b7591278a8793bace8d099d3337e6b046f3ad36cf89accf61100a8f81045be1b\",0,\"lean_workbook_plus_43737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007342.lean\",\"d1db9570e144264778812ea1b360946f5f030e6dc654771d084262d906fa311e\",0,\"lean_workbook_plus_43556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007343.lean\",\"6ebb4d43cfb3f5bd9ac8e1dbb421c4db8a2981ba5164b97e969fdcc3f9b2cd99\",0,\"lean_workbook_plus_42083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 236474,
+      "path": "data/train/p1e/oproofs-s00002-r00007340-n000004-0000-779612d15f4c4b59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "779612d15f4c4b59f11fb0acf856da69e4e3e0fd557c83f52057af5e3707cd22"
+    },
+    {
+      "bytes": 76721,
+      "path": "data/dev/p1e/oproofs-s00002-r00007340-n000004-0000-c3085745bf1d844c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3085745bf1d844c9fd6afbdbcbe35157bddaa2cdc7efd2458ad598027753704"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007344-n000004.json b/manifests/batches/oproofs/s00002-r00007344-n000004.json
index 00bbb7551e75c66523efadc14aa267e19a7fb138..b7bdd76507a0437c062ef2766467f9fe256e9066 100644
--- a/manifests/batches/oproofs/s00002-r00007344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007344-n000004",
   "batch_fingerprint": "4ee9a4b0a28e1038687aacb555c57b64a5f41f5e3ee3fb9a2dcfe4dc439969b4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007344-n000004-0000-be6fdcf70a95bf67.parquet",
-      "sha256": "be6fdcf70a95bf676f59b6c6cdb25181ee7625cb47fdc30da3dc39373e2fe568",
-      "bytes": 329998,
-      "rows": 26,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007345.lean\",\"838785a48b05a9ff50918bef0af61edd9e6892cd7c4d50120fe3a833f5e10a5a\",0,\"lean_workbook_plus_61643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007346.lean\",\"0df86beaec1b3181e78305e3029ca949ba4652d0925f23464ca509db07434123\",0,\"lean_workbook_plus_75069\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007347.lean\",\"cf176d612c66aece5c2d6610125399f09940ef0b85f2f92e5a1c1a8c5d953cb8\",0,\"lean_workbook_plus_66072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329998,
+      "path": "data/train/p3b/oproofs-s00002-r00007344-n000004-0000-be6fdcf70a95bf67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "be6fdcf70a95bf676f59b6c6cdb25181ee7625cb47fdc30da3dc39373e2fe568"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007348-n000004.json b/manifests/batches/oproofs/s00002-r00007348-n000004.json
index adf1e47f13c44fa415bf136c6f6371415344aa90..d723a602ef9b96e8b970816f00aff63ac88dadfe 100644
--- a/manifests/batches/oproofs/s00002-r00007348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007348-n000004",
   "batch_fingerprint": "88fc3e520bc25ba6dc9e07788b19a91488896615716eb88a7336c93350b0ce2c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007348-n000004-0000-b1c5a4e3cb18c4e9.parquet",
-      "sha256": "b1c5a4e3cb18c4e92764292713405c7145435da614e7682124ae0cac6e6046a7",
-      "bytes": 233990,
-      "rows": 11,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007349.lean\",\"8f30c50b63b2c659f1e1c016b673b184e447800f7a74db8556567b57b9d2095f\",0,\"lean_workbook_plus_52330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007350.lean\",\"9922200bc8e79ebc7e7dfe64a22af87727835ecd67970533e6d3996ef9e7cbe1\",0,\"distance_to_school\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007351.lean\",\"2a645b70e419d15ac69770a5d5352ef4d342ae68ea345184556b4291d5b9611a\",0,\"lean_workbook_52389\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233990,
+      "path": "data/train/p49/oproofs-s00002-r00007348-n000004-0000-b1c5a4e3cb18c4e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b1c5a4e3cb18c4e92764292713405c7145435da614e7682124ae0cac6e6046a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007352-n000004.json b/manifests/batches/oproofs/s00002-r00007352-n000004.json
index 540902a8c08f393686baa33c24d941a61a5d24fb..0e13ac1bd85973c6487f5bd5842d9a420c2bdb4d 100644
--- a/manifests/batches/oproofs/s00002-r00007352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007352-n000004",
   "batch_fingerprint": "83ef87e06b980db587027867f500cc1a5d182e39b69b87d5205b9ff9ffd8f582",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007352-n000004-0000-c2359f392816558e.parquet",
-      "sha256": "c2359f392816558ebf0a82725c9bdc69d392f190fecb463048bb7e13e8177d66",
-      "bytes": 255860,
-      "rows": 17,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007353.lean\",\"0932031f5936e6c41b7a18a4e731e30325ab4e64734aaa4bec49154753e67fbb\",0,\"lean_workbook_plus_43931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007354.lean\",\"6e76c7803b6504f95320dcae8744c5b29a29ff9d374a420de41675aaa9635862\",0,\"zigzag_angle_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007355.lean\",\"f1101f631834e032bc92bf1912ab354ce95a0be686dacb2b917a53b5e43249ea\",0,\"lean_workbook_28991\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255860,
+      "path": "data/train/pdc/oproofs-s00002-r00007352-n000004-0000-c2359f392816558e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c2359f392816558ebf0a82725c9bdc69d392f190fecb463048bb7e13e8177d66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007356-n000004.json b/manifests/batches/oproofs/s00002-r00007356-n000004.json
index 2ba0d8dedb0f5bf44f5da52d6dc20ec8dc8e79f5..4fce8397330475563fbd35be6adf003ea89649f2 100644
--- a/manifests/batches/oproofs/s00002-r00007356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007356-n000004",
   "batch_fingerprint": "7f328ac659847dc43598889ca6d40caa60c5c1c7695254fcbb73a734ca4d8a3b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007356-n000004-0000-2d277bccd2a93d1f.parquet",
-      "sha256": "2d277bccd2a93d1f38a68068021f27f68772a70acea6794e208e421f57c3a8ff",
-      "bytes": 206323,
-      "rows": 12,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007356-n000004-0000-7f6e301bbc2154d1.parquet",
-      "sha256": "7f6e301bbc2154d134d54f97e047d7c9f37289fe01a0922a1511cb26df21a477",
-      "bytes": 50289,
-      "rows": 3,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7357",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007357.lean\",\"d35dee4fcd1f0a7c3721dc2746f648d80ea49dddfb8e4bd52354eb6575b820a2\",0,\"lean_workbook_plus_56034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007358.lean\",\"67188579da3086e346fd4a1efc54ff9eb32362a78fa821d3fa122e094b20a4fc\",0,\"lean_workbook_plus_46970\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007359.lean\",\"47e103073a27f6dd3860ce260f3434a053f9f50c6fb3f5f33cab43a1f1eec911\",0,\"lean_workbook_30850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206323,
+      "path": "data/train/pcf/oproofs-s00002-r00007356-n000004-0000-2d277bccd2a93d1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2d277bccd2a93d1f38a68068021f27f68772a70acea6794e208e421f57c3a8ff"
+    },
+    {
+      "bytes": 50289,
+      "path": "data/internal_test/pcf/oproofs-s00002-r00007356-n000004-0000-7f6e301bbc2154d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7f6e301bbc2154d134d54f97e047d7c9f37289fe01a0922a1511cb26df21a477"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007360-n000004.json b/manifests/batches/oproofs/s00002-r00007360-n000004.json
index 0451f137f70e6465e08c17e9b7a419366cc527a3..c9aa5b39d88c9bbb426963635111526a4b96a328 100644
--- a/manifests/batches/oproofs/s00002-r00007360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007360-n000004",
   "batch_fingerprint": "49ef98c38a8197085ececd3317da7ddb6adcf472fac7dc26b640d6e23f2349d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007360-n000004-0000-9f326d3a15ebbfa2.parquet",
-      "sha256": "9f326d3a15ebbfa25dab892dfc3aca081fb59b3bc8b247a9063f1ff186ee853c",
-      "bytes": 183088,
-      "rows": 19,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007361.lean\",\"b8a08dd1c61434fc1427dcb40bfd3cd0b6a4cd2024bb51cc1fd11c5d1a447cbb\",0,\"lean_workbook_plus_50939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007362.lean\",\"e542201e562ab1d40700de2dcc39b287417fdd570b093eb5108902173655e02f\",0,\"lean_workbook_plus_48113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007363.lean\",\"7bd80fb6cb0907c4446260b069dfaed7a99d564a9b2605454fb7f5610df9a248\",0,\"lean_workbook_plus_24436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183088,
+      "path": "data/train/p32/oproofs-s00002-r00007360-n000004-0000-9f326d3a15ebbfa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9f326d3a15ebbfa25dab892dfc3aca081fb59b3bc8b247a9063f1ff186ee853c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007364-n000004.json b/manifests/batches/oproofs/s00002-r00007364-n000004.json
index ecdaea3a05683ff86c1b4e0af1ceaba79ee0d9c1..48ede73597a9610cf3a98e51d7c4b30ae340a7a7 100644
--- a/manifests/batches/oproofs/s00002-r00007364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007364-n000004",
   "batch_fingerprint": "276bbe86f80c7863202acf350ca45e79086af58b9e7c017565cf50effb819bd6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007364-n000004-0000-07a29628e069e575.parquet",
-      "sha256": "07a29628e069e575983ce5638a66bb101fbfd4960c83b52f2092d3fb761cdc68",
-      "bytes": 401089,
-      "rows": 29,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007365.lean\",\"75e56ac21813f947cb6706b7fbfc07c88fff4f99b7efb5a208e8245fcf127d0a\",0,\"lean_workbook_plus_77682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007366.lean\",\"6c90c388fdf70b66157ac7481742a28d6366c09283bcad3acfeeb794017b07e6\",0,\"lean_workbook_plus_12525\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007367.lean\",\"10a12d8fdeaf017e75a645783dcf744573c03db4ed6ddb740ad5fbbb336034a5\",0,\"lean_workbook_plus_31996\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 401089,
+      "path": "data/train/pa7/oproofs-s00002-r00007364-n000004-0000-07a29628e069e575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "07a29628e069e575983ce5638a66bb101fbfd4960c83b52f2092d3fb761cdc68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007368-n000004.json b/manifests/batches/oproofs/s00002-r00007368-n000004.json
index 1f7b028a5cd94c2b23c2588c8aeefdd80ab862c3..76432ddcd452bc585b2d636db8f0ad546cc89ed4 100644
--- a/manifests/batches/oproofs/s00002-r00007368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007368-n000004",
   "batch_fingerprint": "d57e7d4835911dc59482b3466558771c0780fa0dd40278d33497a5f026b7fa9a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007368-n000004-0000-617ce533d27a0607.parquet",
-      "sha256": "617ce533d27a06073c929f9e1a8e3a57f74218f835a65dcea4a19ea4cda1e53a",
-      "bytes": 334846,
-      "rows": 23,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007368-n000004-0000-9d84becc6c4691bd.parquet",
-      "sha256": "9d84becc6c4691bd0661fd3223bdc61c10c8be24837974fe125a198abf17f728",
-      "bytes": 42969,
-      "rows": 3,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007369.lean\",\"a26f5e13d9001252be683f4ae4322051621a5372729db497de7b2ffc92dd2078\",0,\"lean_workbook_plus_30556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007370.lean\",\"12af90e5399efb89ad6a434335477e88969990b84a452c9596a84d6ff658fde1\",0,\"lean_workbook_plus_43080\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007371.lean\",\"821cd47129de7fce902a7f19632053394f4e9a92f4c942b100beefe41551d7a0\",0,\"lean_workbook_10107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334846,
+      "path": "data/train/p0a/oproofs-s00002-r00007368-n000004-0000-617ce533d27a0607.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "617ce533d27a06073c929f9e1a8e3a57f74218f835a65dcea4a19ea4cda1e53a"
+    },
+    {
+      "bytes": 42969,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00007368-n000004-0000-9d84becc6c4691bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "9d84becc6c4691bd0661fd3223bdc61c10c8be24837974fe125a198abf17f728"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007372-n000004.json b/manifests/batches/oproofs/s00002-r00007372-n000004.json
index e55681dee5429d8f951c07048538f69f1d6da3d1..e39c3c15f55d941c1451e294805ed866b6a697d6 100644
--- a/manifests/batches/oproofs/s00002-r00007372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007372-n000004",
   "batch_fingerprint": "a6fc96a5d31b90a229604a00c26761ad49f98428e9d813d2b84c3981e090f325",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007372-n000004-0000-03ef1e8e56270439.parquet",
-      "sha256": "03ef1e8e5627043924f2153b5f43b611a47a51e1f8547f2b02f44a69186fb18a",
-      "bytes": 105083,
-      "rows": 10,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007372-n000004-0000-4d946821afc3b500.parquet",
-      "sha256": "4d946821afc3b500973a72421cbb38084668a528d5cbaf6c3ead3aaa100b7b9e",
-      "bytes": 150759,
-      "rows": 3,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007373.lean\",\"e7574cde963e69c17b6b3188d6fce188413086a3cf52e7c40ad58a6935b35417\",0,\"lean_workbook_plus_60577\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007374.lean\",\"c7468c9acdc744b31825ab010feb5e1cb704692553d6f3cfe5d474dc33b9f047\",0,\"lean_workbook_plus_39981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007375.lean\",\"8b2357af2531b517544a6e6be15a327588b085801d04426e1d24893e2aae72bc\",0,\"lean_workbook_plus_8800\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105083,
+      "path": "data/train/pb7/oproofs-s00002-r00007372-n000004-0000-03ef1e8e56270439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "03ef1e8e5627043924f2153b5f43b611a47a51e1f8547f2b02f44a69186fb18a"
+    },
+    {
+      "bytes": 150759,
+      "path": "data/internal_test/pb7/oproofs-s00002-r00007372-n000004-0000-4d946821afc3b500.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4d946821afc3b500973a72421cbb38084668a528d5cbaf6c3ead3aaa100b7b9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007376-n000004.json b/manifests/batches/oproofs/s00002-r00007376-n000004.json
index 08e514a8371254fcedb9f618341cfcd73203363e..b22126d662d2e04211ebd3dea4eaea6d555f55cc 100644
--- a/manifests/batches/oproofs/s00002-r00007376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007376-n000004",
   "batch_fingerprint": "f707b04a0311b98e8a3a8dd692192ae9d1e6b6305907796fc747542e9a892126",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007376-n000004-0000-d33f658d5c5b8976.parquet",
-      "sha256": "d33f658d5c5b89762e8f9d7508acb0c035d4277a8a17baaf3e8669e237476b64",
-      "bytes": 593003,
-      "rows": 33,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007376-n000004-0001-8fddbff716b49b8c.parquet",
-      "sha256": "8fddbff716b49b8c984f2469a16f774bfd8d3f76882cc37984d90f635b4fdd0a",
-      "bytes": 92861,
-      "rows": 7,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007377.lean\",\"ee098771711c2a69ce8846b64b0af819f2d70074d5a7586d8e8f3c091808b5bd\",0,\"polynomial_degree_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007378.lean\",\"5d2041a5d9e10d88e9584fc8ae3cc2a4aefb627e7ffd912705b6a4bf4e93834f\",0,\"lean_workbook_plus_79301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007379.lean\",\"0b3395e68a650ed4b29140a926bea829a598c78f50da583e3c276cc0b4bc59fd\",0,\"intersection_of_sqrt_set_and_finite_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 593003,
+      "path": "data/train/p21/oproofs-s00002-r00007376-n000004-0000-d33f658d5c5b8976.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "d33f658d5c5b89762e8f9d7508acb0c035d4277a8a17baaf3e8669e237476b64"
+    },
+    {
+      "bytes": 92861,
+      "path": "data/train/p21/oproofs-s00002-r00007376-n000004-0001-8fddbff716b49b8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8fddbff716b49b8c984f2469a16f774bfd8d3f76882cc37984d90f635b4fdd0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007380-n000004.json b/manifests/batches/oproofs/s00002-r00007380-n000004.json
index 1f92487bf0924bdb24647c16c007511147f49eeb..00c87ed1219f228f54825bddddf24e4b7e4ecc48 100644
--- a/manifests/batches/oproofs/s00002-r00007380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007380-n000004",
   "batch_fingerprint": "be63efb406b7b8003a0d877236794d043d8b5a835123380eeaf780114c0c7775",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007380-n000004-0000-14b04d1cf9b15a2c.parquet",
-      "sha256": "14b04d1cf9b15a2ca74c600ad5b4ea73a4b4374ea745e5594fdfbc4088028962",
-      "bytes": 173791,
-      "rows": 14,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007381.lean\",\"e940655f56eaf7b402dba2bae4edbc29a1829459fb19251b2c7e31cd96dc9a55\",0,\"lean_workbook_plus_51558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007382.lean\",\"3e5a847752a14de32051ace36a14debb8ebb4a64078f07ae2245c2aaf9f3b306\",0,\"lean_workbook_plus_30095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007383.lean\",\"b98ba4c08c35d95d1a6ae4d6fcdca684b3de695ca03cdae3a4a1b0b5f54f8090\",0,\"lean_workbook_plus_59669\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173791,
+      "path": "data/train/pb9/oproofs-s00002-r00007380-n000004-0000-14b04d1cf9b15a2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "14b04d1cf9b15a2ca74c600ad5b4ea73a4b4374ea745e5594fdfbc4088028962"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007384-n000004.json b/manifests/batches/oproofs/s00002-r00007384-n000004.json
index 93f08ca8cc7803f98fb1bd7f162a39f6d1a610d5..801738adf7fde1989794bc27af2c854eeb32a361 100644
--- a/manifests/batches/oproofs/s00002-r00007384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007384-n000004",
   "batch_fingerprint": "05512f34e23d0fb731687482795e4e102df1bc47b48c248e731661c2bf935b36",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007384-n000004-0000-51b825aa73656148.parquet",
-      "sha256": "51b825aa73656148827596a1c5c6496214e48d204cb83b4783c700337282e98a",
-      "bytes": 185153,
-      "rows": 14,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007385.lean\",\"db0a56ccfd89e22e437304bf265d1d441d83b0a0b42738609ee620a04de3e066\",0,\"lean_workbook_plus_79761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007386.lean\",\"a68b60261d53437cbd5c88b42ee5ab66ccdb4329505462a78991f8725537c3cf\",0,\"lean_workbook_plus_39360\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007387.lean\",\"d4380796b934226b24543af7017217316b6395163f8fdf6689c73ea2a21e10bb\",0,\"lean_workbook_38848\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185153,
+      "path": "data/train/p29/oproofs-s00002-r00007384-n000004-0000-51b825aa73656148.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "51b825aa73656148827596a1c5c6496214e48d204cb83b4783c700337282e98a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007388-n000004.json b/manifests/batches/oproofs/s00002-r00007388-n000004.json
index d2909acb027529ba7e0ee05a27d0a5ac6d4f75d2..8639c739cd7b84fb9951574bd229be8082a5a4ea 100644
--- a/manifests/batches/oproofs/s00002-r00007388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007388-n000004",
   "batch_fingerprint": "1e3b9d86dc7445f889b1c557def40598c4d9022119b35f2b6cbc87aa089a7c26",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7388",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7389",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7390",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7391"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007388.lean\",\"30d044ed7b5329d3d5e1f778501bc81b8b9468a1dddb2c5d97927647751a073a\",0,\"lean_workbook_plus_39449\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007389.lean\",\"4b47d2f8faa666fb07bffef456d1ec6985189f5d573f76988c40cd3b7173f306\",0,\"lean_workbook_plus_47440\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007390.lean\",\"aec2b0e5a43c2df087afe671350958ab760712c3f130fc26af8816db80bc7374\",0,\"lean_workbook_plus_39892\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007391.lean\",\"a200db8ba8e371863a2e80855554b9f73534cfedc3ed98eb723ca2fac673ba4a\",0,\"lean_workbook_plus_33052\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007388-n000004-0000-64dbd31d1c216ef9.parquet",
-      "sha256": "64dbd31d1c216ef9f0b8ffd20f44536296b302ce4fcd3e522f192df8196a55a0",
       "bytes": 713093,
+      "path": "data/train/p94/oproofs-s00002-r00007388-n000004-0000-64dbd31d1c216ef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
+      "sha256": "64dbd31d1c216ef9f0b8ffd20f44536296b302ce4fcd3e522f192df8196a55a0"
     },
     {
-      "path": "data/train/oproofs-s00002-r00007388-n000004-0001-9b1b436c950d16f2.parquet",
-      "sha256": "9b1b436c950d16f2dd721f3d992b1713aefcdfd909570c216262764ee1160f2c",
       "bytes": 195468,
+      "path": "data/train/p94/oproofs-s00002-r00007388-n000004-0001-9b1b436c950d16f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
+      "sha256": "9b1b436c950d16f2dd721f3d992b1713aefcdfd909570c216262764ee1160f2c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007388-n000004-0000-bba59094f323e59a.parquet",
-      "sha256": "bba59094f323e59a3a92d525d72a8c0d7e401ea541ba0acc45758967fd9e6a91",
       "bytes": 92271,
+      "path": "data/dev/p94/oproofs-s00002-r00007388-n000004-0000-bba59094f323e59a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
+      "sha256": "bba59094f323e59a3a92d525d72a8c0d7e401ea541ba0acc45758967fd9e6a91"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7388",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7389",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7390",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7391"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007388.lean\",\"30d044ed7b5329d3d5e1f778501bc81b8b9468a1dddb2c5d97927647751a073a\",0,\"lean_workbook_plus_39449\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007389.lean\",\"4b47d2f8faa666fb07bffef456d1ec6985189f5d573f76988c40cd3b7173f306\",0,\"lean_workbook_plus_47440\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007390.lean\",\"aec2b0e5a43c2df087afe671350958ab760712c3f130fc26af8816db80bc7374\",0,\"lean_workbook_plus_39892\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007391.lean\",\"a200db8ba8e371863a2e80855554b9f73534cfedc3ed98eb723ca2fac673ba4a\",0,\"lean_workbook_plus_33052\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007392-n000004.json b/manifests/batches/oproofs/s00002-r00007392-n000004.json
index 21f6dceedfdd22b89c9edde6705d673879b4f333..f7f081f51205e82f1a87586c8b95d557a824b191 100644
--- a/manifests/batches/oproofs/s00002-r00007392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007392-n000004",
   "batch_fingerprint": "cf05d7fb4feaf14d78cf2ef9bb6dbad6cd79ee30115269c2e7544dd8273bc049",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007392-n000004-0000-d4c8ca1de5ed988c.parquet",
-      "sha256": "d4c8ca1de5ed988c189fa084fdaae26940a0aaf721903352dcf44ee02406ac57",
-      "bytes": 64240,
-      "rows": 8,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007392-n000004-0000-3e038210aa03e581.parquet",
-      "sha256": "3e038210aa03e581d867d5b349e12b3e3d97bf652cf31fcf038667a84c6a5803",
-      "bytes": 470551,
-      "rows": 14,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007393.lean\",\"6445b7336ebd951756f0f607530e6028a522c43cd9f676548796e206a1fae8d6\",0,\"lean_workbook_plus_72019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007394.lean\",\"bdd68a1a2bbbfd51589855d597b135401606e4e73594e2111773880d3251c161\",0,\"lean_workbook_plus_35778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007395.lean\",\"83a70c6ffc169826a10497f4091c8e72a9ea1803a336672f728f2511aec1ec8d\",0,\"lean_workbook_10870\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64240,
+      "path": "data/train/p9e/oproofs-s00002-r00007392-n000004-0000-d4c8ca1de5ed988c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d4c8ca1de5ed988c189fa084fdaae26940a0aaf721903352dcf44ee02406ac57"
+    },
+    {
+      "bytes": 470551,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00007392-n000004-0000-3e038210aa03e581.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3e038210aa03e581d867d5b349e12b3e3d97bf652cf31fcf038667a84c6a5803"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007396-n000004.json b/manifests/batches/oproofs/s00002-r00007396-n000004.json
index e3c3ee3327235dc776b0f377ad1b59f8d834f55e..6de7f2641891deea612320d4b875268984601dc1 100644
--- a/manifests/batches/oproofs/s00002-r00007396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007396-n000004",
   "batch_fingerprint": "e7fa2b25971bf7e113a32a2a088d079ced908f127a1e0ddcf82ad4d1217e561f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007396-n000004-0000-32364a8c22bb5e0b.parquet",
-      "sha256": "32364a8c22bb5e0bcc630985df92d79ab6b85b9260c5b2859686a84fd8f4b8a5",
-      "bytes": 85059,
-      "rows": 11,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007397.lean\",\"e3bb97befa450441b9e70334496ed5da83e99237f388ba7d5af4341ac2075363\",0,\"lean_workbook_plus_56005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007398.lean\",\"40efc5d228ff78125e4978bdd291acbd6bb5199a9839f5ffcbaf2db5e0c2c6a2\",0,\"lean_workbook_plus_58100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007399.lean\",\"f1f4095a5a2abc8553af6f14cb8a54ebbf4a1bbdaccc803a7a0d2795d0138905\",0,\"lean_workbook_plus_13175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85059,
+      "path": "data/train/p14/oproofs-s00002-r00007396-n000004-0000-32364a8c22bb5e0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "32364a8c22bb5e0bcc630985df92d79ab6b85b9260c5b2859686a84fd8f4b8a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007400-n000004.json b/manifests/batches/oproofs/s00002-r00007400-n000004.json
index 12fa3e304687c8388fe5d000840973f5586dade0..a74362250c8e053c8fd75c08fe3768e88ba86328 100644
--- a/manifests/batches/oproofs/s00002-r00007400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007400-n000004",
   "batch_fingerprint": "eeb822a633515e223625b32d221c9b7970ae5b5248bccb75fac6bf1be2da934d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007400-n000004-0000-d2ac9735aab5c0d6.parquet",
-      "sha256": "d2ac9735aab5c0d6c7b602694bb31f09888c93b6e17d4cb9cb4aa8953e797867",
-      "bytes": 81354,
-      "rows": 9,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007400-n000004-0000-1e524e66bc878def.parquet",
-      "sha256": "1e524e66bc878defed7bf31937f580ce9d40b15ff4813c7ebb2a28effb0bec4f",
-      "bytes": 71503,
-      "rows": 4,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007401.lean\",\"15f7d18533250d05894731f6a21bc03d7c6a98dc0b2f757a84bfedf32f9839a4\",0,\"lean_workbook_plus_20406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007402.lean\",\"e74423724cb5c1a6d1dcb3738277ae1489568ece3e376cfb4c9e2175a640bbb5\",0,\"lean_workbook_plus_54460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007403.lean\",\"0f09eb3d9b071717c136007cd305cb72ede61dfba2bc355829b159d955c2b294\",0,\"lean_workbook_plus_26437\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81354,
+      "path": "data/train/p0a/oproofs-s00002-r00007400-n000004-0000-d2ac9735aab5c0d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d2ac9735aab5c0d6c7b602694bb31f09888c93b6e17d4cb9cb4aa8953e797867"
+    },
+    {
+      "bytes": 71503,
+      "path": "data/dev/p0a/oproofs-s00002-r00007400-n000004-0000-1e524e66bc878def.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1e524e66bc878defed7bf31937f580ce9d40b15ff4813c7ebb2a28effb0bec4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007404-n000004.json b/manifests/batches/oproofs/s00002-r00007404-n000004.json
index b6d26c65bd61906497e6809ea0d71af3ae227f12..cbad2fca443bac2058c6946a52726f25186cca34 100644
--- a/manifests/batches/oproofs/s00002-r00007404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007404-n000004",
   "batch_fingerprint": "431fba01d1953a291a544d83b9c18f440a492690aecffe9eb8208cb2a49e0289",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007404-n000004-0000-3f1622d382da8655.parquet",
-      "sha256": "3f1622d382da865559c49b29f200a3d9d0b3ce1118dbb39b2ba92f2c4c3d0c09",
-      "bytes": 242363,
-      "rows": 22,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007405.lean\",\"a66af99cddf133dd805287025d3da5b024c9247164e54ebec635842f08aff376\",0,\"lean_workbook_plus_80211\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007406.lean\",\"aa15639ee889361efcddade7fb7abdd3924679d4f165e68ce6e00b40e0abb447\",0,\"pizza_order\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007407.lean\",\"f73939a9acef3b2a918f886dcc779e5e12e2e7f6a7320d9005ff51b6c0701d4b\",0,\"lean_workbook_plus_14564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242363,
+      "path": "data/train/p08/oproofs-s00002-r00007404-n000004-0000-3f1622d382da8655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3f1622d382da865559c49b29f200a3d9d0b3ce1118dbb39b2ba92f2c4c3d0c09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007408-n000004.json b/manifests/batches/oproofs/s00002-r00007408-n000004.json
index e1ed9d4e8b848d40662c36d91c846ca8d3540fe5..d92a785e57be6d2eabc5e7f5d7ff4f0ec30e7ba6 100644
--- a/manifests/batches/oproofs/s00002-r00007408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007408-n000004",
   "batch_fingerprint": "c2e313d19458c015c8286e1ef2f2c5f58dfd597371b69423e9b10d34fc6d74e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007408-n000004-0000-22fc1fddb34abb35.parquet",
-      "sha256": "22fc1fddb34abb35804326eb02224acb79528404f6f99eef2ead2a9c163467e8",
-      "bytes": 386549,
-      "rows": 30,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007409.lean\",\"4c324d2067b48685d504e526136fec3d8a1ae003937c2f63de855a315a2d445b\",0,\"lean_workbook_plus_61643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007410.lean\",\"960fefad1dc290de68c06fbaaeefff272b3ffcbf246d919345ee8e154204b90d\",0,\"lean_workbook_plus_42083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007411.lean\",\"cdea724a60ae2636ef0fa7dea779f41d1db2715ee1b61dcae67c6a336e9a98c9\",0,\"lean_workbook_plus_43556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386549,
+      "path": "data/train/pd3/oproofs-s00002-r00007408-n000004-0000-22fc1fddb34abb35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "22fc1fddb34abb35804326eb02224acb79528404f6f99eef2ead2a9c163467e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007412-n000004.json b/manifests/batches/oproofs/s00002-r00007412-n000004.json
index 020c490bca2dc1de3595caa0e35565539a599c75..f2ebd92434b0b2e07b9a66bf535ca3a2cb1dd41a 100644
--- a/manifests/batches/oproofs/s00002-r00007412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007412-n000004",
   "batch_fingerprint": "68902b0c1158246bbf3efd299d419d4ec860e4b0437c1abdbe9802713c98808d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007412-n000004-0000-76e690ecce959947.parquet",
-      "sha256": "76e690ecce959947acc4dbf09c181f92a0e2d426858af2e2292378699859e4b8",
-      "bytes": 187869,
-      "rows": 15,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007413.lean\",\"34ba8ebd46ba05ea46e02be3329a92c863aeace3d14ca5bd9a2236438461634b\",0,\"lean_workbook_plus_13757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007414.lean\",\"d447ec6f27f83508f17e1ea87e5ac63669551e4e005eada7762265f11e314532\",0,\"lean_workbook_plus_52330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007415.lean\",\"cdfb648c2b3b90194488cf90d82afbfc66f2c548ce50c3521ec098b5e7e0f208\",0,\"lean_workbook_plus_74976\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187869,
+      "path": "data/train/pb4/oproofs-s00002-r00007412-n000004-0000-76e690ecce959947.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "76e690ecce959947acc4dbf09c181f92a0e2d426858af2e2292378699859e4b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007416-n000004.json b/manifests/batches/oproofs/s00002-r00007416-n000004.json
index 5050af9ec5cca6250567b931c7ea5a2b8f06a87f..72ef594da7212e60bccc248fd30744160e9f55f9 100644
--- a/manifests/batches/oproofs/s00002-r00007416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007416-n000004",
   "batch_fingerprint": "7aab012ad59ba7aa9b3578e85166971e86a0e21000b05f5818a2312280c608c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007416-n000004-0000-54de680470889eb2.parquet",
-      "sha256": "54de680470889eb2adeee489c4dc554314d0666a9d489f5c1c35edd0ce6530fc",
-      "bytes": 251366,
-      "rows": 13,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007416-n000004-0000-b60090ece888011a.parquet",
-      "sha256": "b60090ece888011a20397b0f6a18b1b0a2233b526ea127863c664efc8358f886",
-      "bytes": 61257,
-      "rows": 2,
-      "revision": "9e13403d017222bd986aac8e8a2ef1abf1ddb43c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007417.lean\",\"5dd075946281bccf4593cc54d209d77a7cc038fe1a060af254a17c1582e46231\",0,\"lean_workbook_52389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007418.lean\",\"33a84f8b67c4f0263ff885edfb7c13ed6af41324fda10c2ff7aecf5a20ece02e\",0,\"lean_workbook_plus_21856\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007419.lean\",\"d917f5c96b2a77efa098a72151a15fcd2bb47fe0d5431f5a29b412873b9b6a3d\",0,\"lean_workbook_plus_43931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251366,
+      "path": "data/train/pae/oproofs-s00002-r00007416-n000004-0000-54de680470889eb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "54de680470889eb2adeee489c4dc554314d0666a9d489f5c1c35edd0ce6530fc"
+    },
+    {
+      "bytes": 61257,
+      "path": "data/internal_test/pae/oproofs-s00002-r00007416-n000004-0000-b60090ece888011a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b60090ece888011a20397b0f6a18b1b0a2233b526ea127863c664efc8358f886"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007420-n000004.json b/manifests/batches/oproofs/s00002-r00007420-n000004.json
index ba3cec116799972e33a1eef3ff64469bdf1f0451..25c83687923dfe0121284b2e3bd7b3fc8d9feaf9 100644
--- a/manifests/batches/oproofs/s00002-r00007420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007420-n000004",
   "batch_fingerprint": "144aa3ccea549184188f96ef013f942833cac967de58cc78f1fefb988c5ae16b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007420-n000004-0000-14db5a5d459a75ed.parquet",
-      "sha256": "14db5a5d459a75edcf6f5841fd1777ad6a8af1a68b6cf77e73c6d2fe40091274",
-      "bytes": 232750,
-      "rows": 16,
-      "revision": "7afcc569bcb1181e3a4e910beb89b42275c185a3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007421.lean\",\"b7afc68f7438d856aab07b0691838ee4f3c2d3fd2830b5a856b7f85b441d1e51\",0,\"lean_workbook_plus_46217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007422.lean\",\"8687e8b78c07f5c87c34bc58cd188fd13aec4885594976bb601d0425b86cef98\",0,\"lean_workbook_plus_81423\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007423.lean\",\"072fc1c628d63728bae9750b0e62d698ed010eabceb2103eac5014d3e636df4d\",0,\"lean_workbook_plus_12526\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232750,
+      "path": "data/train/p21/oproofs-s00002-r00007420-n000004-0000-14db5a5d459a75ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "14db5a5d459a75edcf6f5841fd1777ad6a8af1a68b6cf77e73c6d2fe40091274"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007424-n000004.json b/manifests/batches/oproofs/s00002-r00007424-n000004.json
index 1d2184ee6d179266f7a1a93ad3656da6e316c689..c15d5e3387fa0e3273e7700b6d26b2e5f3c2ab89 100644
--- a/manifests/batches/oproofs/s00002-r00007424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007424-n000004",
   "batch_fingerprint": "0b20d550e4d79ee8d1442560ed51670c20d9ae02cd7b14401a59b9017dc49050",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007424-n000004-0000-1aa68683a2727df2.parquet",
-      "sha256": "1aa68683a2727df2ca5e89b913b261c456a339e8516478352d3f7fe3899bd714",
-      "bytes": 235762,
-      "rows": 17,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007425.lean\",\"a86ebd45eac1aabcdd76d0ed05ae9f9b64dc977aaf5d87a01c11e77e990b3eaf\",0,\"lean_workbook_plus_56034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007426.lean\",\"f4064a5749942925be0b373c563b76fc0841739fc6b95bf37e345e1c42c0af65\",0,\"lean_workbook_plus_22915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007427.lean\",\"93d870081c93bcb221c721f47fa6d8daa75365225ea6e9d414c620cb47f91dfd\",0,\"lean_workbook_plus_40034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235762,
+      "path": "data/train/peb/oproofs-s00002-r00007424-n000004-0000-1aa68683a2727df2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1aa68683a2727df2ca5e89b913b261c456a339e8516478352d3f7fe3899bd714"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007428-n000004.json b/manifests/batches/oproofs/s00002-r00007428-n000004.json
index 87c9b28c5e1af763d9f8b6c9ffe5148bcaf3d6a4..8832a8c68104f482883f9fbc08bb011ff39f506a 100644
--- a/manifests/batches/oproofs/s00002-r00007428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007428-n000004",
   "batch_fingerprint": "abc3c8aeb1e2b57fc6712397931ab9dc1417ceb0ace86b138426198bbe06bdf5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007428-n000004-0000-7cf7e4fd0c073c33.parquet",
-      "sha256": "7cf7e4fd0c073c3396c8ec8175d6a897c3a63f2e7ce137f2fa7db9392b639a87",
-      "bytes": 309269,
-      "rows": 16,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007429.lean\",\"dda3c044a88ea7dc0325503626d2e13a65a7b83674b0a68fb6167af76891c9bf\",0,\"lean_workbook_plus_48113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007430.lean\",\"0d89cbadffc4a59e487ba81dc28c32a834d80a01d081c206fc468b92a8d5df64\",0,\"lean_workbook_plus_77682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007431.lean\",\"976fd5d0b876d1446d6981912ca26dac497002a9cdfcb2e7445b198c79d01b85\",0,\"lean_workbook_11157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309269,
+      "path": "data/train/pbc/oproofs-s00002-r00007428-n000004-0000-7cf7e4fd0c073c33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7cf7e4fd0c073c3396c8ec8175d6a897c3a63f2e7ce137f2fa7db9392b639a87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007432-n000004.json b/manifests/batches/oproofs/s00002-r00007432-n000004.json
index d6b30d0b22ecd7d82d1dfeedd137f1f6dc315404..eac1ce2dd4ae4149ac8f52d1ea470d6998faa0dc 100644
--- a/manifests/batches/oproofs/s00002-r00007432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007432-n000004",
   "batch_fingerprint": "a52bcb99c57a903ac01e76f9cdca24c5aa944a8541c7718e6a072ad49b635f14",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007432-n000004-0000-02c55c28ce436328.parquet",
-      "sha256": "02c55c28ce436328cf01a9a05d41328e66c41e4cf7a2146112bb7465656cd094",
-      "bytes": 290555,
-      "rows": 20,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007432-n000004-0000-74f8ef401da6c269.parquet",
-      "sha256": "74f8ef401da6c269c47b35e3adec9cf90957d505f8da0b7e7321655e3e5b62a4",
-      "bytes": 42973,
-      "rows": 3,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007433.lean\",\"df66c3310c5a789a22849b51e69c7135cddb4f6544d642a6246a559d8eaaea4b\",0,\"lean_workbook_plus_24436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007434.lean\",\"222585cb064f968ab19ea16506032c2ee3c859f095cf07d8464e769367a43772\",0,\"lean_workbook_plus_31996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007435.lean\",\"d4792bd582b07b1e88359a205791f5d82d95fb09e34599a61afeb1bd4bdf87ad\",0,\"lean_workbook_plus_43080\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290555,
+      "path": "data/train/p31/oproofs-s00002-r00007432-n000004-0000-02c55c28ce436328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "02c55c28ce436328cf01a9a05d41328e66c41e4cf7a2146112bb7465656cd094"
+    },
+    {
+      "bytes": 42973,
+      "path": "data/internal_test/p31/oproofs-s00002-r00007432-n000004-0000-74f8ef401da6c269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "74f8ef401da6c269c47b35e3adec9cf90957d505f8da0b7e7321655e3e5b62a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007436-n000004.json b/manifests/batches/oproofs/s00002-r00007436-n000004.json
index c6fcc1a564fd4564fff4069938cfe8619d584ebb..02e624439a8ae5c335dc30586980c98d734217a3 100644
--- a/manifests/batches/oproofs/s00002-r00007436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007436-n000004",
   "batch_fingerprint": "77ca0af4cd28477564665c2ccdbeb4b359be8e58dff9acf5c7ed8a720d6b164d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007436-n000004-0000-5afdca815fcde49b.parquet",
-      "sha256": "5afdca815fcde49b05388a7dd71aff5db5cfc898855f28331d2ce18f31170b35",
-      "bytes": 201234,
-      "rows": 18,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007436-n000004-0000-a5b4ef88ffddaeff.parquet",
-      "sha256": "a5b4ef88ffddaeff0ffaa51d461b8f16a50726ca22ddc9bd4e2102ebc20fb955",
-      "bytes": 90839,
-      "rows": 5,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007437.lean\",\"a32854fe8d9f87ea154580f932d9822bafb4e9cc836a3a3a628377880b48404d\",0,\"lean_workbook_plus_60577\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007438.lean\",\"9e3f8fbbbf4b17b3f3c7f12ef206c76241f29a5ef2bd27f8f54c12bb3c13150f\",0,\"lean_workbook_10107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007439.lean\",\"f0cea9da5223a4cde337784426565082851ff6983111459d637fc43cc6e02dc2\",0,\"lean_workbook_plus_39981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201234,
+      "path": "data/train/pdb/oproofs-s00002-r00007436-n000004-0000-5afdca815fcde49b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5afdca815fcde49b05388a7dd71aff5db5cfc898855f28331d2ce18f31170b35"
+    },
+    {
+      "bytes": 90839,
+      "path": "data/internal_test/pdb/oproofs-s00002-r00007436-n000004-0000-a5b4ef88ffddaeff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a5b4ef88ffddaeff0ffaa51d461b8f16a50726ca22ddc9bd4e2102ebc20fb955"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007440-n000004.json b/manifests/batches/oproofs/s00002-r00007440-n000004.json
index 2d794dd5ccc769d77b85431b687bbde397a47efa..4b78d41fadf3765908e48cf8ba52faf85f61a0d0 100644
--- a/manifests/batches/oproofs/s00002-r00007440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007440-n000004",
   "batch_fingerprint": "f62fa929692e2916b74e144947c4e39fe7d2dc0aa7d33fb4daa8d82bc7ebc188",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007440-n000004-0000-cd26e94531e50d3b.parquet",
-      "sha256": "cd26e94531e50d3b5eb6a3dc2894c0aa94572fe1287f972f8f8b55cda952cca7",
-      "bytes": 787189,
-      "rows": 29,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007440-n000004-0001-27c2a7873e0dce23.parquet",
-      "sha256": "27c2a7873e0dce23fcc684780b68c3c8347f8fe8747bebdc44bbf1b5584aa922",
-      "bytes": 303550,
-      "rows": 5,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7441",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007441.lean\",\"742f14a41704b3d0e630051765d5cb0e35e9a53e9f240e10e72b8e70c1914931\",0,\"lean_workbook_plus_57881\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007442.lean\",\"86515d46e8e0cef0d1a7c83362282707e63c2194271dfd9ddd9edd2200587250\",0,\"polynomial_degree_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007443.lean\",\"eaf752ef53ae223e177443dbdd6666bba8262a6164500dcc311edf2415752245\",0,\"lean_workbook_plus_20399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 787189,
+      "path": "data/train/p2b/oproofs-s00002-r00007440-n000004-0000-cd26e94531e50d3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "cd26e94531e50d3b5eb6a3dc2894c0aa94572fe1287f972f8f8b55cda952cca7"
+    },
+    {
+      "bytes": 303550,
+      "path": "data/train/p2b/oproofs-s00002-r00007440-n000004-0001-27c2a7873e0dce23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "27c2a7873e0dce23fcc684780b68c3c8347f8fe8747bebdc44bbf1b5584aa922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007444-n000004.json b/manifests/batches/oproofs/s00002-r00007444-n000004.json
index 12c9e5d2a25b17cc5d0c887cd2f56965e957b178..dfee50a5f762dc5dd5507d3017841d344d436743 100644
--- a/manifests/batches/oproofs/s00002-r00007444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007444-n000004",
   "batch_fingerprint": "49c8961fd3ce9d5aa00f3f8a61eafe7b17e857b7a8b1b70d2f0852e9e3069f22",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007444-n000004-0000-e9a1a63715740b5f.parquet",
-      "sha256": "e9a1a63715740b5f3df7f2d77a7b18847c317fc9c745d39a3113477fec887482",
-      "bytes": 143737,
-      "rows": 14,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007444-n000004-0000-34d6717800e7db79.parquet",
-      "sha256": "34d6717800e7db79df67c3b4db5f219af9c3d78b14f8443e28bfa52d3ae1101c",
-      "bytes": 76282,
-      "rows": 6,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7445",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007445.lean\",\"431138c5c5bcda992892ca8cb045b6846b8001dbc4e3afb9d0560a5974cb818c\",0,\"lean_workbook_plus_51558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007446.lean\",\"2eaff1ba4cf51d437ae6f3e6f1f1367602116d462d753c2c656ea32e5264f5b3\",0,\"lean_workbook_plus_30095\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007447.lean\",\"2cd81df4dbc9dbf83d1ce17628e4ca45596843454518ff31e7b1f19bed2d1a52\",0,\"lean_workbook_plus_20157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143737,
+      "path": "data/train/pe6/oproofs-s00002-r00007444-n000004-0000-e9a1a63715740b5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e9a1a63715740b5f3df7f2d77a7b18847c317fc9c745d39a3113477fec887482"
+    },
+    {
+      "bytes": 76282,
+      "path": "data/internal_test/pe6/oproofs-s00002-r00007444-n000004-0000-34d6717800e7db79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "34d6717800e7db79df67c3b4db5f219af9c3d78b14f8443e28bfa52d3ae1101c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007448-n000004.json b/manifests/batches/oproofs/s00002-r00007448-n000004.json
index 0c100e583874c5b6e97a0f5cc4445857e906cc27..8023301303cf1dd049dd5acb0a70df6176742e13 100644
--- a/manifests/batches/oproofs/s00002-r00007448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007448-n000004",
   "batch_fingerprint": "95cb6dc3a1961d6f800bcb1fe630309c9e412dcb8e5cbcd38e2cfad880fd8bad",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007448-n000004-0000-5b7faa25696c65c0.parquet",
-      "sha256": "5b7faa25696c65c09dad853f06e3a0bb2110407cd3061a74bfb48c3c1e96be5f",
-      "bytes": 294668,
-      "rows": 14,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007449.lean\",\"87ea98590c5ab56d1759ffbf9e0ebd19e84c1f9c504355297b058094019a1c90\",0,\"lean_workbook_plus_39360\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007450.lean\",\"bd9ec9119ae8528cf83d35a05ee3b91e27c496523c420e712bf69e7627a6688d\",0,\"lean_workbook_38848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007451.lean\",\"715f4a550b65ce7aef4701870819b301039b1f47950c97d3dd365f40da2b4dcd\",0,\"lean_workbook_54239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 294668,
+      "path": "data/train/pd5/oproofs-s00002-r00007448-n000004-0000-5b7faa25696c65c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5b7faa25696c65c09dad853f06e3a0bb2110407cd3061a74bfb48c3c1e96be5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007452-n000004.json b/manifests/batches/oproofs/s00002-r00007452-n000004.json
index 2e22b1b379affd2c155ef59f44e167dc82c70f50..d9c67374a05db080e2d61b5a6ab9a677fe925c3a 100644
--- a/manifests/batches/oproofs/s00002-r00007452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007452-n000004",
   "batch_fingerprint": "3acfbfd17934b422ce42c8099c5166fb9d026186da1da99d9c4c23901501a254",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007452-n000004-0000-fd3152e71dbf97d0.parquet",
-      "sha256": "fd3152e71dbf97d0c9d55f6d0c9af3d22b06bcba9758af09c27173a29623f42c",
-      "bytes": 302012,
-      "rows": 18,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007453.lean\",\"6f3c56ddf2c8db6f32cb356dfc8e75e2b3d84f9ef4cc03741d89e875861f7aaa\",0,\"lean_workbook_plus_39892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007454.lean\",\"67ea6c5c3d22083d4e6592d0e1ce1381204376d22ff1a6a1d28bf369a876777e\",0,\"lean_workbook_plus_47440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007455.lean\",\"ea1fe62b07a91b0f35e121aa7d9e1ddbd00a48efdb4ce3fb1b79b85b297dd396\",0,\"lean_workbook_1977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302012,
+      "path": "data/train/p84/oproofs-s00002-r00007452-n000004-0000-fd3152e71dbf97d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fd3152e71dbf97d0c9d55f6d0c9af3d22b06bcba9758af09c27173a29623f42c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007456-n000004.json b/manifests/batches/oproofs/s00002-r00007456-n000004.json
index 00d4a44b641f7599d8da5e32c9901b9c760220e7..30fc7c87e71f4c378bfa6171ce25568b15244001 100644
--- a/manifests/batches/oproofs/s00002-r00007456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007456-n000004",
   "batch_fingerprint": "9eb740ab38280517332297ad46874026e4910f4778699e200311e698ef7d6aa7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007456-n000004-0000-0163aeacea35e9f5.parquet",
-      "sha256": "0163aeacea35e9f5c08bb13b0c2b26e9e53260052620427b1cacfa616ce1df83",
-      "bytes": 628807,
-      "rows": 20,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007456-n000004-0000-64402928f6deff7e.parquet",
-      "sha256": "64402928f6deff7e9ee670e6fea7159cef0a702bcea9d68bf7ba1e394cb865f6",
-      "bytes": 102097,
-      "rows": 7,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007457.lean\",\"b8a9ebfd77aa08dc179c87a24baf7ea863b7d34b437f2e644fc95f4a6ba948d3\",0,\"lean_workbook_plus_35778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007458.lean\",\"d1c57f4251a73ce95c25c67bffde717b1d31942d43478d5312aff242e796ef0b\",0,\"lean_workbook_plus_51795\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007459.lean\",\"a93f989018fa2829297b70cac8a9ecbf758ae5dc3f0ff9cc6abfd3efa580402b\",0,\"lean_workbook_plus_33052\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 628807,
+      "path": "data/train/p14/oproofs-s00002-r00007456-n000004-0000-0163aeacea35e9f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0163aeacea35e9f5c08bb13b0c2b26e9e53260052620427b1cacfa616ce1df83"
+    },
+    {
+      "bytes": 102097,
+      "path": "data/internal_test/p14/oproofs-s00002-r00007456-n000004-0000-64402928f6deff7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "64402928f6deff7e9ee670e6fea7159cef0a702bcea9d68bf7ba1e394cb865f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007460-n000004.json b/manifests/batches/oproofs/s00002-r00007460-n000004.json
index efd99e34e769745cc9908422412d277b7bca24ef..5643c2889e3c04aa968e0e190ed0f91800f83ccb 100644
--- a/manifests/batches/oproofs/s00002-r00007460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007460-n000004",
   "batch_fingerprint": "07e68193390adcfcb8a7fb62e4bc29e552cf18dd9e9c040db0d779cde28a4c07",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007460-n000004-0000-370e8989ba8ce05d.parquet",
-      "sha256": "370e8989ba8ce05df42f7ab8349213c95ccb659908dfac49ed4604ef83e54e04",
-      "bytes": 813660,
-      "rows": 24,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007461.lean\",\"7c2e93af5717bc185fbf554fe2f6c2bf46745e37bcd25a63dff2ba0af525da7e\",0,\"lean_workbook_48930\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007462.lean\",\"6e967e2c3308beccabb9cdfd1b10ad41d6c436eb2b2b5cce71ea07bf2c949831\",0,\"lean_workbook_plus_70803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007463.lean\",\"e3bb97befa450441b9e70334496ed5da83e99237f388ba7d5af4341ac2075363\",0,\"lean_workbook_plus_56005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 813660,
+      "path": "data/train/p31/oproofs-s00002-r00007460-n000004-0000-370e8989ba8ce05d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "370e8989ba8ce05df42f7ab8349213c95ccb659908dfac49ed4604ef83e54e04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007464-n000004.json b/manifests/batches/oproofs/s00002-r00007464-n000004.json
index 7f40f3288952cc2636a05ddebdadfeb4f4890931..494029dce69532b1015346f00bc6772ecdb59a99 100644
--- a/manifests/batches/oproofs/s00002-r00007464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007464-n000004",
   "batch_fingerprint": "4a9671cec1166041c9ba98d985c00a365667bcc04a3ebdcbba1bdac7efa8b905",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007464-n000004-0000-c0a148cf204847dc.parquet",
-      "sha256": "c0a148cf204847dc93e5e9ac9ab1c1caef8c890425f990287c92beb03aaea195",
-      "bytes": 85348,
-      "rows": 11,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007464-n000004-0000-361e17aebfd6c6c3.parquet",
-      "sha256": "361e17aebfd6c6c3e054153e9907307fb30bb5f2acfa1ac680074d32fe2a1a43",
-      "bytes": 89574,
-      "rows": 3,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7465",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007465.lean\",\"23bca5048dd0e904d965cafce289d391887dafafc6ca5e3414d2938226da6048\",0,\"lean_workbook_plus_54460\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007466.lean\",\"b3405dc20b923ac3371e5b3f3787269e454bf1081240fd4254fae8fae5881765\",0,\"lean_workbook_plus_80211\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007467.lean\",\"577518b34570057036b70545ba5a03af0b647ec9f950610beeebcd19433e7919\",0,\"lean_workbook_plus_43737\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85348,
+      "path": "data/train/pfb/oproofs-s00002-r00007464-n000004-0000-c0a148cf204847dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c0a148cf204847dc93e5e9ac9ab1c1caef8c890425f990287c92beb03aaea195"
+    },
+    {
+      "bytes": 89574,
+      "path": "data/dev/pfb/oproofs-s00002-r00007464-n000004-0000-361e17aebfd6c6c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "361e17aebfd6c6c3e054153e9907307fb30bb5f2acfa1ac680074d32fe2a1a43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007468-n000004.json b/manifests/batches/oproofs/s00002-r00007468-n000004.json
index 979a9f428ad2ce144d6b9705fb299d47d3fa28ac..40c3d78d69b82e5e69a92562cf19d3aeafafd86e 100644
--- a/manifests/batches/oproofs/s00002-r00007468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007468-n000004",
   "batch_fingerprint": "2235109b43d65adde080b778bec9c260f40241cba1f56d25046e0953813d66b3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007468-n000004-0000-aa666678af921026.parquet",
-      "sha256": "aa666678af92102682a9482a69444914020c5b64138f58aa5585c9657c07ab1e",
-      "bytes": 234128,
-      "rows": 17,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7469",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007469.lean\",\"817d13867407ac08014d7486142245b2c421fa2b879637a9c3c4e68e83b7c71a\",0,\"lean_workbook_plus_77442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007470.lean\",\"6d5cc2bf3b2ce33f9681e62745fa5a76b10e80d40b1d9cec727c7a0bd05f6e2b\",0,\"lean_workbook_plus_61643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007471.lean\",\"ae3035ba7c60e85ba02ce7048888ab8518f5836f1c149c3c4b08264de10a2dc9\",0,\"lean_workbook_plus_66072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234128,
+      "path": "data/train/p2b/oproofs-s00002-r00007468-n000004-0000-aa666678af921026.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "aa666678af92102682a9482a69444914020c5b64138f58aa5585c9657c07ab1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007472-n000004.json b/manifests/batches/oproofs/s00002-r00007472-n000004.json
index 29a7d66f42923257c0a03895b41b49ffc7745e57..1d7b1f639facb5e6979ca263872920fa690b5630 100644
--- a/manifests/batches/oproofs/s00002-r00007472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007472-n000004",
   "batch_fingerprint": "e59e089b248c63f7428d6ae885f4b201f6b115192e0c004fff9bb4d6ba4dcca3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007472-n000004-0000-f101f0e4b1bb9500.parquet",
-      "sha256": "f101f0e4b1bb9500671a65130a7c2e9cbf62a3dc5a6eae821c5ebec656527c18",
-      "bytes": 392032,
-      "rows": 27,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7473",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007473.lean\",\"fcd2eb95606a9a7ff2139978de77c06b7b95592c0c455974600c64c826da594a\",0,\"lean_workbook_plus_43556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007474.lean\",\"b331292fdad82218bb1b81690c729066b0b4a2909bc228d304bd47f79bdf2c05\",0,\"lean_workbook_plus_13757\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007475.lean\",\"d01912dd4bf0d70ac1cdd692fd4a6441843387c838278d81e26133a48d28399a\",0,\"lean_workbook_plus_52330\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392032,
+      "path": "data/train/p04/oproofs-s00002-r00007472-n000004-0000-f101f0e4b1bb9500.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "f101f0e4b1bb9500671a65130a7c2e9cbf62a3dc5a6eae821c5ebec656527c18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007476-n000004.json b/manifests/batches/oproofs/s00002-r00007476-n000004.json
index 05f2a9f34a5f1380c958ce086e27865be670b906..c38f83f3e847f98c904666631163ada2d6996d33 100644
--- a/manifests/batches/oproofs/s00002-r00007476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007476-n000004",
   "batch_fingerprint": "713ee72c330ad4616f050e6b1fe88803cd3476e6eb6908fb6d2898474a61126a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007476-n000004-0000-8faa65104ff5be8c.parquet",
-      "sha256": "8faa65104ff5be8c2e3462e1f91d91d9e1afcf16d1a6b226512be1f4f4e954ca",
-      "bytes": 136917,
-      "rows": 12,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007476-n000004-0000-f6a08ba57a08d32b.parquet",
-      "sha256": "f6a08ba57a08d32b11ca6bb30b7596faefb925cdb2883e9a2868890459818ed1",
-      "bytes": 80197,
-      "rows": 6,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007477.lean\",\"602daf139078e403f80ddb87123f291e61451d891ec9e4688e52563f2fadceeb\",0,\"lean_workbook_plus_20406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007478.lean\",\"e903ef9b0c5a88b452f5620adb48e960d072aaf808f3266b9b29ca7e5a6c841b\",0,\"lean_workbook_plus_3823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007479.lean\",\"b5e41d79dd68890c5221191fe472abbb66af43d4a92236dd9072e21358d6e087\",0,\"zigzag_angle_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136917,
+      "path": "data/train/p02/oproofs-s00002-r00007476-n000004-0000-8faa65104ff5be8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8faa65104ff5be8c2e3462e1f91d91d9e1afcf16d1a6b226512be1f4f4e954ca"
+    },
+    {
+      "bytes": 80197,
+      "path": "data/dev/p02/oproofs-s00002-r00007476-n000004-0000-f6a08ba57a08d32b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f6a08ba57a08d32b11ca6bb30b7596faefb925cdb2883e9a2868890459818ed1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007480-n000004.json b/manifests/batches/oproofs/s00002-r00007480-n000004.json
index 25a4e777d55adad50b7fa3b62567e2ec90962b52..9f1e1e81c71b942469229b5bda4a18883055ffd5 100644
--- a/manifests/batches/oproofs/s00002-r00007480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007480-n000004",
   "batch_fingerprint": "53cebddd0fe2c9db9773760308f7679ccd5187b400fca82b10ba9266d8eb729a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007480-n000004-0000-09627df33545619a.parquet",
-      "sha256": "09627df33545619acddb8b504975cdc5274c839f4e86658e86b9a61ee6a25cec",
-      "bytes": 380745,
-      "rows": 12,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007481.lean\",\"6ffdde188069a5b598c374d71cafdfaaab3cbef80df2bb092f4345eef5a25028\",0,\"lean_workbook_plus_43931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007482.lean\",\"45c7c59d492bbddb30485c1606ce735bf3f41a5783c3fdecbad22615bb47458d\",0,\"lean_workbook_52389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007483.lean\",\"a9297ca3f29e9a5b1dcb25ad9d82ae7f119f525c2760b28a426d4209bf99f458\",0,\"lean_workbook_plus_56034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380745,
+      "path": "data/train/pab/oproofs-s00002-r00007480-n000004-0000-09627df33545619a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "09627df33545619acddb8b504975cdc5274c839f4e86658e86b9a61ee6a25cec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007484-n000004.json b/manifests/batches/oproofs/s00002-r00007484-n000004.json
index 4131f4d89a34116810a3a479deda6cbe68e79cff..8ce16cbba4b7350a8a7289ad4afb68a650cef689 100644
--- a/manifests/batches/oproofs/s00002-r00007484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007484-n000004",
   "batch_fingerprint": "a64cc0994148084f2ac32ef8618267fc8086cf23ccb0bd299569f73f24116a7e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007484-n000004-0000-6491bd6ccb7f6d7f.parquet",
-      "sha256": "6491bd6ccb7f6d7f617be4369eca413342f2dced9ccab8bd4df7a8bb575e6a15",
-      "bytes": 190727,
-      "rows": 16,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007485.lean\",\"e0ce2e0b94a5b6190e3eeabacd47c8aef7519fd4408c71d1c247e2469bdb1a05\",0,\"lean_workbook_30850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007486.lean\",\"ec62465414913c449dec4b17b806379b4ebe4df8dda9335520b1d78e1362c18a\",0,\"lean_workbook_plus_50939\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007487.lean\",\"ab35610ed99732f4b50d38f01aa0b0a8b24a5b7192946f569d4a2af653eae941\",0,\"lean_workbook_plus_48113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190727,
+      "path": "data/train/pc9/oproofs-s00002-r00007484-n000004-0000-6491bd6ccb7f6d7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6491bd6ccb7f6d7f617be4369eca413342f2dced9ccab8bd4df7a8bb575e6a15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007488-n000004.json b/manifests/batches/oproofs/s00002-r00007488-n000004.json
index 6ea51e87b97f80da769d74e8429298e93a241f26..32cd9ba9ff6af2135500555081c2c0dcd66c9000 100644
--- a/manifests/batches/oproofs/s00002-r00007488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007488-n000004",
   "batch_fingerprint": "6deebf40ddf817bc3baeaca995d7b5ccf91aa9522f309f4fc2c11449441422ee",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007488-n000004-0000-6fff6cedf18a5874.parquet",
-      "sha256": "6fff6cedf18a5874ddbcebae3877cc1787123c9a5c34f33984be4f9911e9b760",
-      "bytes": 298970,
-      "rows": 14,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007489.lean\",\"5d8a3b5d2a3664a0e83c7b49b63fccd524f705881158154b50acfcfe93701c4d\",0,\"lean_workbook_plus_12525\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007490.lean\",\"50b9c0d53a23a546a2c3f1b125c46d6dd469e4869977f55f5dad0eb7c97071d2\",0,\"lean_workbook_plus_77682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007491.lean\",\"0a054572b5b468a5b1a4576210e07a93a0fdd5a03879906aeab806441051442d\",0,\"lean_workbook_plus_24436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298970,
+      "path": "data/train/pdf/oproofs-s00002-r00007488-n000004-0000-6fff6cedf18a5874.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6fff6cedf18a5874ddbcebae3877cc1787123c9a5c34f33984be4f9911e9b760"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007492-n000004.json b/manifests/batches/oproofs/s00002-r00007492-n000004.json
index ae8683090857fe0dee5cd18588e7431c60337733..63fbbe49f682f8c3a3127540bdb561a2a8980ee9 100644
--- a/manifests/batches/oproofs/s00002-r00007492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007492-n000004",
   "batch_fingerprint": "a30dd1a8cf18cd7d71ea0a43c5e12130cee256a205ca2328c196ea2d2843c658",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007492-n000004-0000-e77d380e0e763005.parquet",
-      "sha256": "e77d380e0e76300582babe03615f17a5aaff3f9a6a13e9d7e78d81b76f6e335d",
-      "bytes": 459029,
-      "rows": 17,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007493.lean\",\"179ed4d383732bf334b9cf5d7f4a1076e3cb4177f77f1e53d4a3c35b71c7cd27\",0,\"lean_workbook_11157\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007494.lean\",\"501aee35468b36899266d4161779bcf4ace19c01c220d2dad335c5bb3dacd628\",0,\"lean_workbook_plus_50489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007495.lean\",\"582f19c47c266f00a5298e0721965f4527b2dd243ff2f2a60b90ed8bc740cb10\",0,\"lean_workbook_plus_79346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 459029,
+      "path": "data/train/pb8/oproofs-s00002-r00007492-n000004-0000-e77d380e0e763005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e77d380e0e76300582babe03615f17a5aaff3f9a6a13e9d7e78d81b76f6e335d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007496-n000004.json b/manifests/batches/oproofs/s00002-r00007496-n000004.json
index c5cc433b84a7b62a4f3249925a86ca352ffbead9..2215a853741c85e7238f76d96a717ffbc63bdcb4 100644
--- a/manifests/batches/oproofs/s00002-r00007496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007496-n000004",
   "batch_fingerprint": "bdba6c06cac4c26b45b9ff88801784cc3a0739ed3053dfcc441a70941df5904a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007496-n000004-0000-de5fc0155b7e143a.parquet",
-      "sha256": "de5fc0155b7e143ab268d8d8e498f078d82803143267227b22bd781332bd2530",
-      "bytes": 250274,
-      "rows": 13,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007496-n000004-0000-946e10315288cd08.parquet",
-      "sha256": "946e10315288cd08f6949b63e6c824c029d8bbd7bb0c94ed90aa93dd2daf64b0",
-      "bytes": 326507,
-      "rows": 23,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7497",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007497.lean\",\"c72ce6e94a4793715c2a872318ea7d2226744a13ed5eb2bc3ace6e58fd2fa014\",0,\"lean_workbook_12570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007498.lean\",\"b1795dc3312cbc0861ab6ec9ac740d289ac2ba034a8abfb10c38103657e6bc76\",0,\"lean_workbook_plus_60577\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007499.lean\",\"556db8890b37d874a146f262bb981aed695cb8d400e12b11b305e4f5b917293c\",0,\"lean_workbook_plus_23734\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250274,
+      "path": "data/train/p46/oproofs-s00002-r00007496-n000004-0000-de5fc0155b7e143a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "de5fc0155b7e143ab268d8d8e498f078d82803143267227b22bd781332bd2530"
+    },
+    {
+      "bytes": 326507,
+      "path": "data/internal_test/p46/oproofs-s00002-r00007496-n000004-0000-946e10315288cd08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "946e10315288cd08f6949b63e6c824c029d8bbd7bb0c94ed90aa93dd2daf64b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007500-n000004.json b/manifests/batches/oproofs/s00002-r00007500-n000004.json
index 4e799c8dbf5ce008aea88be040f0ae675da4e503..593cd16e0a0d11130fd0a066c91ce716c2ff5526 100644
--- a/manifests/batches/oproofs/s00002-r00007500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007500-n000004",
   "batch_fingerprint": "fa7424f61e0a8ae57b70c9fe5de4d28ad44bc854f24a5d811a5a4fcbadaa827d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007500-n000004-0000-e5776ec963177a95.parquet",
-      "sha256": "e5776ec963177a95c4e57647081c3de68b2c2c084c15dc151f58ed14cac81271",
-      "bytes": 393876,
-      "rows": 33,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007501.lean\",\"827e79882862b65436174c5676d6c6548b0d8de71b31ff4a325aba9101ed2a7e\",0,\"lean_workbook_10107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007502.lean\",\"ad1e73ce5555eff05dc241e215d63efe7d1f56e545839406d08273753940d7b0\",0,\"lean_workbook_plus_57881\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007503.lean\",\"9a2af9b5dcfbd705fe88ee554dacb65a7994417d33d0731a0dbea03eacb14e46\",0,\"lean_workbook_plus_55532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393876,
+      "path": "data/train/p15/oproofs-s00002-r00007500-n000004-0000-e5776ec963177a95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e5776ec963177a95c4e57647081c3de68b2c2c084c15dc151f58ed14cac81271"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007504-n000004.json b/manifests/batches/oproofs/s00002-r00007504-n000004.json
index 1635a7a0131694814f916ae5d75582123757401d..72dc1168697f5086083d7c74da2173917a010c51 100644
--- a/manifests/batches/oproofs/s00002-r00007504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007504-n000004",
   "batch_fingerprint": "519e8a9e9682c63c2c056f697d530397e267d555df444f50ffa95f978966aef0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007504-n000004-0000-bee970cb4c56dc31.parquet",
-      "sha256": "bee970cb4c56dc3138620b23d6bcb934aa9d932ae20195eab9b6abca050dbd1f",
-      "bytes": 333867,
-      "rows": 22,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007505.lean\",\"e8e9458621939e3d9942c4abe1616a723ae89109c191a7356f33dd3acdb43120\",0,\"lean_workbook_plus_79301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007506.lean\",\"c030e054871d8eba9fac97c7755e18ce502588c4ef78037cb2a3d819d9fa51d3\",0,\"lean_workbook_plus_51558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007507.lean\",\"ccb1f9f59c62e5fba37b32f782cdd1241e59707f8b1f74f573a3aecf57f8e95d\",0,\"lean_workbook_plus_20399\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333867,
+      "path": "data/train/pbc/oproofs-s00002-r00007504-n000004-0000-bee970cb4c56dc31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "bee970cb4c56dc3138620b23d6bcb934aa9d932ae20195eab9b6abca050dbd1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007508-n000004.json b/manifests/batches/oproofs/s00002-r00007508-n000004.json
index 08e60c6f3053012ae432087cee050d498bf59f11..302bafcde59a9e44818f2f666fe70f21f086c87e 100644
--- a/manifests/batches/oproofs/s00002-r00007508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007508-n000004",
   "batch_fingerprint": "a3250d5b6441b64a017a978783b3f909780783e8bd2e06e7ddcd626c3a646bd5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007508-n000004-0000-20fbb7525b3011ed.parquet",
-      "sha256": "20fbb7525b3011edde4828a7e0c37100cf86fe98cb1592e652c974ba828514a7",
-      "bytes": 146166,
-      "rows": 6,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007508-n000004-0000-1eae269d430b3f60.parquet",
-      "sha256": "1eae269d430b3f603c64f0536318db01e97da4a3615fd0405dc61cc491a83a36",
-      "bytes": 153782,
-      "rows": 7,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007509.lean\",\"9bfb3c08a15217d3edef64dc2886e256d234cb4c6b58f4cff3bbabef49440ce4\",0,\"lean_workbook_plus_13986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007510.lean\",\"8e5448b8f0ee374903fbd0d3f69a360cda6eb52813fd210c79c32d4b8b7a7840\",0,\"lean_workbook_plus_66951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007511.lean\",\"a235b0dfc5417266fdd30fcf975141774ba0384b0201c21f39a94b366783977d\",0,\"lean_workbook_plus_20157\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146166,
+      "path": "data/train/p2c/oproofs-s00002-r00007508-n000004-0000-20fbb7525b3011ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "20fbb7525b3011edde4828a7e0c37100cf86fe98cb1592e652c974ba828514a7"
+    },
+    {
+      "bytes": 153782,
+      "path": "data/internal_test/p2c/oproofs-s00002-r00007508-n000004-0000-1eae269d430b3f60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1eae269d430b3f603c64f0536318db01e97da4a3615fd0405dc61cc491a83a36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007512-n000004.json b/manifests/batches/oproofs/s00002-r00007512-n000004.json
index 8fa516c55a59a5ee181304aef674984172a18e22..b6f9166fbd6ff8b0c711ac8e32843934cd5a03fa 100644
--- a/manifests/batches/oproofs/s00002-r00007512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007512-n000004",
   "batch_fingerprint": "4e933f5af35092775a70f8c521841cc59ee83e9b86ca638a727f5595b4caeee4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007512-n000004-0000-6955d3aa3a0d452a.parquet",
-      "sha256": "6955d3aa3a0d452ad628aba12d457430b56719fd4ef18e59cca87ada6bb3f413",
-      "bytes": 250662,
-      "rows": 8,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007512-n000004-0000-91324316a84f0e08.parquet",
-      "sha256": "91324316a84f0e084df6cf287bec4c5966589c7e08747bce932818eae7aa3338",
-      "bytes": 74450,
-      "rows": 2,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007513.lean\",\"1169d913d8b3a2bccaed2b861ae41c3c66b64670d1026500b30a47cc68362c29\",0,\"lean_workbook_plus_15870\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007514.lean\",\"17cc82ee58a2a61062b858bda05b6eab800ac20dfcabb3f936c02e3becc4ee44\",0,\"lean_workbook_plus_39892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007515.lean\",\"f2a4894db1d6e295b36f680980b79e6d430c742aeb74575f0ae978fe691f26d7\",0,\"lean_workbook_plus_39360\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250662,
+      "path": "data/train/p4c/oproofs-s00002-r00007512-n000004-0000-6955d3aa3a0d452a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6955d3aa3a0d452ad628aba12d457430b56719fd4ef18e59cca87ada6bb3f413"
+    },
+    {
+      "bytes": 74450,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00007512-n000004-0000-91324316a84f0e08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "91324316a84f0e084df6cf287bec4c5966589c7e08747bce932818eae7aa3338"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007516-n000004.json b/manifests/batches/oproofs/s00002-r00007516-n000004.json
index 15a1a2b3a494656fe590fc35208a052c425c19d7..ddf829288211e519f8ddc38f527230bffcf2d791 100644
--- a/manifests/batches/oproofs/s00002-r00007516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007516-n000004",
   "batch_fingerprint": "0cf0293361b206933eeb4eff00d407c8e8b5f19b1a8494b2daf82202f0453633",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7516",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7517",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7518",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7519"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007516.lean\",\"35e1fa1aca8f0d50c60a8f20019bc5d855b0edfeb9f104893e0083f787f65e65\",0,\"lean_workbook_plus_47440\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007517.lean\",\"0a42ed12877f8c886094d186a33fac1bf31529326a63cd3ddf77335706d254ed\",0,\"lean_workbook_plus_39449\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007518.lean\",\"44b40a8980a345763901aa62b1c94d2636e962afbcdb4a933596751976a3ced6\",0,\"lean_workbook_plus_34775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007519.lean\",\"5cf8eb77ffca37e3954000d123b07bb3e0cbcbfd6e3f04e52a1df34f0b4e1d45\",0,\"lean_workbook_plus_35778\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007516-n000004-0000-b4081cb64e015ab3.parquet",
-      "sha256": "b4081cb64e015ab314e63cfca07f0558b231a5c6bd94a48b95bed9e24cc962fd",
       "bytes": 111200,
+      "path": "data/train/p6a/oproofs-s00002-r00007516-n000004-0000-b4081cb64e015ab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
+      "sha256": "b4081cb64e015ab314e63cfca07f0558b231a5c6bd94a48b95bed9e24cc962fd"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007516-n000004-0000-87d082314281471b.parquet",
-      "sha256": "87d082314281471b272aad891440ea01012dae8b750af218e1c09d6074070be4",
       "bytes": 112139,
+      "path": "data/dev/p6a/oproofs-s00002-r00007516-n000004-0000-87d082314281471b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
+      "sha256": "87d082314281471b272aad891440ea01012dae8b750af218e1c09d6074070be4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007516-n000004-0000-8229fc2c09dfc322.parquet",
-      "sha256": "8229fc2c09dfc322c010b913aadacea1e3cf13d3c59895160decd0a0be92359d",
       "bytes": 76304,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00007516-n000004-0000-8229fc2c09dfc322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
+      "sha256": "8229fc2c09dfc322c010b913aadacea1e3cf13d3c59895160decd0a0be92359d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7516",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7517",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7518",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7519"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007516.lean\",\"35e1fa1aca8f0d50c60a8f20019bc5d855b0edfeb9f104893e0083f787f65e65\",0,\"lean_workbook_plus_47440\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007517.lean\",\"0a42ed12877f8c886094d186a33fac1bf31529326a63cd3ddf77335706d254ed\",0,\"lean_workbook_plus_39449\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007518.lean\",\"44b40a8980a345763901aa62b1c94d2636e962afbcdb4a933596751976a3ced6\",0,\"lean_workbook_plus_34775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007519.lean\",\"5cf8eb77ffca37e3954000d123b07bb3e0cbcbfd6e3f04e52a1df34f0b4e1d45\",0,\"lean_workbook_plus_35778\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007520-n000004.json b/manifests/batches/oproofs/s00002-r00007520-n000004.json
index 94d1cdef47c6d0471e13b3b2999e57c89c8dd9fc..8ab71cf6952d5e39474abcb19dcd11f975070949 100644
--- a/manifests/batches/oproofs/s00002-r00007520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007520-n000004",
   "batch_fingerprint": "a5885cd749819065737ca01e22ef0ace604fe8be74267a93676a711570dfa33e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007520-n000004-0000-b36babb0f2164c74.parquet",
-      "sha256": "b36babb0f2164c7408d0ab9d75d7e165d1924d4840a43a312b1a46d8099563e9",
-      "bytes": 99529,
-      "rows": 13,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007520-n000004-0000-196e97b2dabd9b78.parquet",
-      "sha256": "196e97b2dabd9b78f14b11aa100f8b71dc729d9d667001a894df7f1ad3abe26b",
-      "bytes": 1362577,
-      "rows": 14,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007521.lean\",\"41bb8fca45d5caca57c14afbd1f874626ba9628711cfe5b93120073c089074da\",0,\"lean_workbook_plus_25975\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007522.lean\",\"1c0923b18396d6d31f162bc34b4eceb4a48cf505b714e55980b683d6582e39c4\",0,\"lean_workbook_plus_59780\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007523.lean\",\"f23f38561a851c837af69b6ad65e2b260e96e08d59e4066d11302d5d696e17ec\",0,\"lean_workbook_plus_42407\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 99529,
+      "path": "data/train/p4b/oproofs-s00002-r00007520-n000004-0000-b36babb0f2164c74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b36babb0f2164c7408d0ab9d75d7e165d1924d4840a43a312b1a46d8099563e9"
+    },
+    {
+      "bytes": 1362577,
+      "path": "data/internal_test/p4b/oproofs-s00002-r00007520-n000004-0000-196e97b2dabd9b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "196e97b2dabd9b78f14b11aa100f8b71dc729d9d667001a894df7f1ad3abe26b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007524-n000004.json b/manifests/batches/oproofs/s00002-r00007524-n000004.json
index 571272731fb5b27a504d4e272cdd1dd6057da50c..dd104ed929bf165fdcc3ece647552be75fc2472e 100644
--- a/manifests/batches/oproofs/s00002-r00007524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007524-n000004",
   "batch_fingerprint": "d6e18ece7ac6b0cd45f1fa5ce09c5678b91e853fd4970aee28d358dddf687490",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007524-n000004-0000-f6b9c717f9258135.parquet",
-      "sha256": "f6b9c717f9258135a021fea1f329b1c46f0f9d58013c69f3397dc5aa38b09bfc",
-      "bytes": 299956,
-      "rows": 23,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007525.lean\",\"878671890db77f98ad1aba46c9b5c018bbb464200fe16ad4a71026046e39638f\",0,\"lean_workbook_plus_32799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007526.lean\",\"748f6ae03aacf74c1e607e568ce9424636cdeddd50b38888f68e057690fd6382\",0,\"lean_workbook_plus_28690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007527.lean\",\"199072c28758a2d49d67fd4c7ab85ae9a23af954f6bfb262ccf5cda8540eb20f\",0,\"sample_variance_decreases\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299956,
+      "path": "data/train/p26/oproofs-s00002-r00007524-n000004-0000-f6b9c717f9258135.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f6b9c717f9258135a021fea1f329b1c46f0f9d58013c69f3397dc5aa38b09bfc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007528-n000004.json b/manifests/batches/oproofs/s00002-r00007528-n000004.json
index 38852f0acbe7f09f84e8eebe1dd35a091bd3f7ce..730e9c77ea48c851fba7001888590034b3f7821c 100644
--- a/manifests/batches/oproofs/s00002-r00007528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007528-n000004",
   "batch_fingerprint": "a2552fb385cb4ba348d73dbfe69f1fdf454cf36e539afc78efa158cfcb41c327",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007528-n000004-0000-4b86676d2ce1e647.parquet",
-      "sha256": "4b86676d2ce1e64758922521386a122ec2784291ad99eb13fea9453ef4121497",
-      "bytes": 182865,
-      "rows": 14,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007528-n000004-0000-4c9480ef9918460a.parquet",
-      "sha256": "4c9480ef9918460a666280e6be4912fc1381582dece3b5ebea03e7b9447aae63",
-      "bytes": 41270,
-      "rows": 2,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007529.lean\",\"f32e99b4346dc4b0899616b403a8be229b41560d64bba8ac869e5f8084d6a8ed\",0,\"mac_speed_is_four\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007530.lean\",\"4317899c3d6c8c23364c1600f9a8315ce273dd8e95fce579fe3c329dd5ea604b\",0,\"lean_workbook_plus_38444\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007531.lean\",\"84ffc849b5cbe448335aef1b8a7a56ad8d805cfeb7abc385ab968e0c8feb314f\",0,\"circle_tangent_bisection\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182865,
+      "path": "data/train/pe4/oproofs-s00002-r00007528-n000004-0000-4b86676d2ce1e647.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4b86676d2ce1e64758922521386a122ec2784291ad99eb13fea9453ef4121497"
+    },
+    {
+      "bytes": 41270,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00007528-n000004-0000-4c9480ef9918460a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4c9480ef9918460a666280e6be4912fc1381582dece3b5ebea03e7b9447aae63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007532-n000004.json b/manifests/batches/oproofs/s00002-r00007532-n000004.json
index 2e41f9b110f708a9413f5b28dc5edbc1ca0dfccf..6cc4429ee9c8ea1eaae7377328b9401cdb4f9bfd 100644
--- a/manifests/batches/oproofs/s00002-r00007532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007532-n000004",
   "batch_fingerprint": "d824556c96e99882d108c86f5499e61c084df67190c9173c2eb5a479b152f91e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007532-n000004-0000-ca6c0b658ce3f464.parquet",
-      "sha256": "ca6c0b658ce3f464a765a86c465dda9cd48b0322425ec357e487dd96472ed87e",
-      "bytes": 467929,
-      "rows": 22,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007532-n000004-0000-80b281556c0e9203.parquet",
-      "sha256": "80b281556c0e9203056e4b733b1feb8d6448717616b864c07ba634a65569dcfc",
-      "bytes": 71570,
-      "rows": 5,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007533.lean\",\"ccbff9b87581ab4977175bf7a54d28be8474b46c34c6619092a0d0df7ac0038c\",0,\"lean_workbook_plus_7973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007534.lean\",\"c81f6b13febad4a1f4eb1bb9c33ca1f46a2188e3bcde2dbecb30324a9a0af25f\",0,\"lean_workbook_plus_62403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007535.lean\",\"12aab1ee9f9190f3498a3652f5ab9841be032435f987334f1d8e5784d1012434\",0,\"lean_workbook_plus_57822\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 467929,
+      "path": "data/train/pe2/oproofs-s00002-r00007532-n000004-0000-ca6c0b658ce3f464.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ca6c0b658ce3f464a765a86c465dda9cd48b0322425ec357e487dd96472ed87e"
+    },
+    {
+      "bytes": 71570,
+      "path": "data/internal_test/pe2/oproofs-s00002-r00007532-n000004-0000-80b281556c0e9203.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "80b281556c0e9203056e4b733b1feb8d6448717616b864c07ba634a65569dcfc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007536-n000004.json b/manifests/batches/oproofs/s00002-r00007536-n000004.json
index 56c21e874c9254136ca823f2543a7b7ea4476c47..77c07f7bab938fed4082f3ec42380627c55b9478 100644
--- a/manifests/batches/oproofs/s00002-r00007536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007536-n000004",
   "batch_fingerprint": "037b56d0c263708848515c9d913db0d8cfa69cb1342ab50b36743580ade29750",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007536-n000004-0000-95b5d8d4067272b2.parquet",
-      "sha256": "95b5d8d4067272b2ca59c52331cc64beccee35cb342b19c8f937cb3a1aadb45c",
-      "bytes": 232996,
-      "rows": 12,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7537",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007537.lean\",\"37a4be14f60f7195828de4b833e8417f17b2192a27972a0f293a6b8389ccff5a\",0,\"lean_workbook_plus_55555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007538.lean\",\"66167bef84dded9a195ad4587a245f315c3409ede32338d2a30add418b751f2e\",0,\"lean_workbook_22544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007539.lean\",\"ef1977c3632208b067a429eeb66f7f5221494c2ea45f1217636da5870c192c5f\",0,\"lean_workbook_plus_31458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232996,
+      "path": "data/train/p75/oproofs-s00002-r00007536-n000004-0000-95b5d8d4067272b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "95b5d8d4067272b2ca59c52331cc64beccee35cb342b19c8f937cb3a1aadb45c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007540-n000004.json b/manifests/batches/oproofs/s00002-r00007540-n000004.json
index 8b525abec45754f977ffb2ce3b757f2dad85de1c..5615dbd914d7e56101a75c65eff7da06ece39a0b 100644
--- a/manifests/batches/oproofs/s00002-r00007540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007540-n000004",
   "batch_fingerprint": "97080007cbb4844dcb5d35c18909cd47a781b201321d796b8b5523ec4a7638d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007540-n000004-0000-b8808d84cb294823.parquet",
-      "sha256": "b8808d84cb2948239b1968ded3af7c5a3b7e7815a164d5f5034e83f4f06a50e6",
-      "bytes": 125000,
-      "rows": 16,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007540-n000004-0000-6dbb2230618d23ec.parquet",
-      "sha256": "6dbb2230618d23ec73d5ed4637e52039be4613014bec3a16e9b3b561b5efe231",
-      "bytes": 75130,
-      "rows": 5,
-      "revision": "d47999c1b14c856fbfcd6a5e3e9cf3db744e7e85"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007541.lean\",\"93f623da182968758f717e0c123c98cd62ebf1ce29d931d978f0f195e41bdd05\",0,\"lean_workbook_14602\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007542.lean\",\"fdd8eb521b4bd357140c584096236c505059846405ebcf360379b7a208b76dda\",0,\"lean_workbook_plus_11632\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007543.lean\",\"699548e41fc090ffa1c5f60b9d5c3de14f4fc6ec058fa26b89e28779864ee7ec\",0,\"lean_workbook_plus_12331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125000,
+      "path": "data/train/p4c/oproofs-s00002-r00007540-n000004-0000-b8808d84cb294823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b8808d84cb2948239b1968ded3af7c5a3b7e7815a164d5f5034e83f4f06a50e6"
+    },
+    {
+      "bytes": 75130,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00007540-n000004-0000-6dbb2230618d23ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6dbb2230618d23ec73d5ed4637e52039be4613014bec3a16e9b3b561b5efe231"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007544-n000004.json b/manifests/batches/oproofs/s00002-r00007544-n000004.json
index a6504d3539edb7208c37d922fab910c4aa0d8470..6beb47880e899f92c5ff2660df41b6f2c1f3728d 100644
--- a/manifests/batches/oproofs/s00002-r00007544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007544-n000004",
   "batch_fingerprint": "6b59872b1c9bdd55dd83cb8f75a2b7ea279a08d3fd54918af49ad3f2575ba6f5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007544-n000004-0000-f6997ca13874299b.parquet",
-      "sha256": "f6997ca13874299b022c9e1f24f648e48a3a1af1159e938a194780af790a155a",
-      "bytes": 321741,
-      "rows": 23,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007545.lean\",\"2e70deb7ea611361d7cb15ba3b2b2d0b1e8c72595deffd44f1772e1448e96bff\",0,\"lean_workbook_plus_34000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007546.lean\",\"2a917330b94d8d30a72da9f314297b58e446a7ad5f97803b1aac9abb47e65d38\",0,\"lean_workbook_plus_25592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007547.lean\",\"c0a9b139e467b8264cfc7e42386ef0d94fa36ba55b1825388ceaf19ada9dad8f\",0,\"lean_workbook_plus_11240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321741,
+      "path": "data/train/p02/oproofs-s00002-r00007544-n000004-0000-f6997ca13874299b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f6997ca13874299b022c9e1f24f648e48a3a1af1159e938a194780af790a155a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007548-n000004.json b/manifests/batches/oproofs/s00002-r00007548-n000004.json
index 1ed3442ce1f997f20d52929995e76b41cbf1ec6e..debdb2d8f262a67b000463edf6a4e1f8e9d562c6 100644
--- a/manifests/batches/oproofs/s00002-r00007548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007548-n000004",
   "batch_fingerprint": "a624522b2728c5d1cfe8b65e7c6cbd9adce4d2a21b9c19d1f422dfe4b8940dd8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007548-n000004-0000-e56539604b43fbee.parquet",
-      "sha256": "e56539604b43fbee5c013c50e4a9bdd4fea48af3b83f3140fd922988fa481ac8",
-      "bytes": 676767,
-      "rows": 17,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007548-n000004-0001-49f149a0332fc997.parquet",
-      "sha256": "49f149a0332fc997ff48e7b85bee3faa32d10e925edc1f7b7e6211e5b115e2dd",
-      "bytes": 274866,
-      "rows": 3,
-      "revision": "d3ae40fe06b891b1b26d55b40734cafb719524a6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7549",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007549.lean\",\"ebffe2f4e75f0aeffbc5729eea24b129e6e15226f6e220d07ae077093c784264\",0,\"lean_workbook_plus_71183\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007550.lean\",\"5894a2a4cfbe87982830b627d34437601f08de6ec4e91974e765074e7025a623\",0,\"lean_workbook_plus_44147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007551.lean\",\"f7f2add3803e670fff71b8aa190d533c71bf47c97e252f99c57724a928713561\",0,\"lean_workbook_plus_39302\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 676767,
+      "path": "data/train/p51/oproofs-s00002-r00007548-n000004-0000-e56539604b43fbee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e56539604b43fbee5c013c50e4a9bdd4fea48af3b83f3140fd922988fa481ac8"
+    },
+    {
+      "bytes": 274866,
+      "path": "data/train/p51/oproofs-s00002-r00007548-n000004-0001-49f149a0332fc997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "49f149a0332fc997ff48e7b85bee3faa32d10e925edc1f7b7e6211e5b115e2dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007552-n000004.json b/manifests/batches/oproofs/s00002-r00007552-n000004.json
index 69c8c814a87572339bc611c446f09113379e37f6..77a7b615b7213cf1309fb1a2c6ccf72a060398bb 100644
--- a/manifests/batches/oproofs/s00002-r00007552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007552-n000004",
   "batch_fingerprint": "fac48200eab2b18f9330838534bdf0f6b00430b8e085d8c85bc0436b150e8e10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007552-n000004-0000-170bfa05ca917d0f.parquet",
-      "sha256": "170bfa05ca917d0f90bbaadd6b4c640d8829ea58f7dce93a207e52b4b615d5b3",
-      "bytes": 1317151,
-      "rows": 22,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007552-n000004-0001-d335bbe91dccb351.parquet",
-      "sha256": "d335bbe91dccb3513d0aa8268e069b3ca44fa2394c87f6c53252870fbb20b4d4",
-      "bytes": 270098,
-      "rows": 6,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007553.lean\",\"fae8d35377a54957b21d3d21fa0fd2e8c750e04fdcc60f1bc81ebb48995e0d81\",0,\"lean_workbook_29779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007554.lean\",\"bdd76d949249a7efa562b2cf7c142ae3c5c329bcb208e7d564227c5be43ae616\",0,\"lean_workbook_plus_77393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007555.lean\",\"f312cd490705166de09f0ff492ab29fadfadfd2dd4922e41e9bf5319fff85def\",0,\"lean_workbook_plus_29894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1317151,
+      "path": "data/train/p9e/oproofs-s00002-r00007552-n000004-0000-170bfa05ca917d0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "170bfa05ca917d0f90bbaadd6b4c640d8829ea58f7dce93a207e52b4b615d5b3"
+    },
+    {
+      "bytes": 270098,
+      "path": "data/train/p9e/oproofs-s00002-r00007552-n000004-0001-d335bbe91dccb351.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "d335bbe91dccb3513d0aa8268e069b3ca44fa2394c87f6c53252870fbb20b4d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007556-n000004.json b/manifests/batches/oproofs/s00002-r00007556-n000004.json
index 938be08c6f232a9717adc67f0e8be57776f685c4..6b08bafce09952aafc24a3b850af74243c5704fa 100644
--- a/manifests/batches/oproofs/s00002-r00007556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007556-n000004",
   "batch_fingerprint": "5f49fc89ca26ca52c7d4a173bbdb1f27f66a729e7329973366f510c684d428ef",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007556-n000004-0000-f14102e5b2fbfd1f.parquet",
-      "sha256": "f14102e5b2fbfd1fa22fb0733d415013e2024cced2b8919dbb7b9ee6bdd11e02",
-      "bytes": 182412,
-      "rows": 21,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007556-n000004-0000-4184f8b2d3a8c8ee.parquet",
-      "sha256": "4184f8b2d3a8c8ee00748a36b20c44e7c63fa43d93675b6b63612374d9f9ec2b",
-      "bytes": 148308,
-      "rows": 8,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007557.lean\",\"1883360c41eb5756bd8a4653d927744d6136341c14177fa89e0f4a3275feffb8\",0,\"lean_workbook_plus_59748\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007558.lean\",\"d6406c915c4438463265d455c87807453f6e8a439a1cc003449c4841a6d5fa35\",0,\"parallel_lines_max_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007559.lean\",\"976493e121c89e22285ac4f0e30bb32cc972ec10cbcc6cf56f0e7aaf13de0631\",0,\"lean_workbook_26209\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182412,
+      "path": "data/train/pba/oproofs-s00002-r00007556-n000004-0000-f14102e5b2fbfd1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f14102e5b2fbfd1fa22fb0733d415013e2024cced2b8919dbb7b9ee6bdd11e02"
+    },
+    {
+      "bytes": 148308,
+      "path": "data/dev/pba/oproofs-s00002-r00007556-n000004-0000-4184f8b2d3a8c8ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4184f8b2d3a8c8ee00748a36b20c44e7c63fa43d93675b6b63612374d9f9ec2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007560-n000004.json b/manifests/batches/oproofs/s00002-r00007560-n000004.json
index 388bfc628332ac6db4cd69a3846855748cc4693d..df8fe806ea9af25f2fc49e66c22511f7ead96bca 100644
--- a/manifests/batches/oproofs/s00002-r00007560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007560-n000004",
   "batch_fingerprint": "daafbb30ec03717feaf396d99c9c1da109738c5ae95eed7bf9abc862c2790908",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007560-n000004-0000-7778e2c3aa9c2aab.parquet",
-      "sha256": "7778e2c3aa9c2aabfb5ebe65d27323380f503f702d539a239c8592ede95e2ca8",
-      "bytes": 156046,
-      "rows": 11,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007560-n000004-0000-b0bb15c789805493.parquet",
-      "sha256": "b0bb15c789805493d695ca255ec8bbb2fbcab1a08f291190baee6b4bbd8f9086",
-      "bytes": 69951,
-      "rows": 3,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007561.lean\",\"45f87d01c6b952a6ac5e89db1727ade5cc77e9071b5135704520bed093255bfb\",0,\"lean_workbook_plus_11848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007562.lean\",\"3e2febddbc6d245b0d733a70aca3dfb54c8a3d34ecfcc17743f9b710a21e1312\",0,\"lean_workbook_plus_62928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007563.lean\",\"e04b528e5149ecf22652e735f7dcd286e31d46f8f5141bcdbfbff96671d36c64\",0,\"cone_volume_with_inscribed_square\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156046,
+      "path": "data/train/pb0/oproofs-s00002-r00007560-n000004-0000-7778e2c3aa9c2aab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7778e2c3aa9c2aabfb5ebe65d27323380f503f702d539a239c8592ede95e2ca8"
+    },
+    {
+      "bytes": 69951,
+      "path": "data/internal_test/pb0/oproofs-s00002-r00007560-n000004-0000-b0bb15c789805493.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b0bb15c789805493d695ca255ec8bbb2fbcab1a08f291190baee6b4bbd8f9086"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007564-n000004.json b/manifests/batches/oproofs/s00002-r00007564-n000004.json
index 30a101f94d069c49ec8fcaa63de313c3e0f711b1..53448fd5f471672655c3da1001fe9198417d4669 100644
--- a/manifests/batches/oproofs/s00002-r00007564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007564-n000004",
   "batch_fingerprint": "7019ee5d955d124edf7ca6859e9cc66086ecefdfe26f73cd3885e0190bbf98a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007564-n000004-0000-2a6f7776d8ba6aac.parquet",
-      "sha256": "2a6f7776d8ba6aac08af088d8d18fa2a97848a35e9e84e59b4d8aad73d67401b",
-      "bytes": 139521,
-      "rows": 17,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7565",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007565.lean\",\"7ebabbbfa9e3bba784971f4227aa2f1fd2cc76b8128b7c710945a6e7f2701214\",0,\"lean_workbook_plus_56550\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007566.lean\",\"79ef550438d8a3cb7027ecda40f9fe75da79ef8c63597dd6197ce7cbef9939b4\",0,\"lean_workbook_plus_5413\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007567.lean\",\"01334bc32892484fd4b15645d039cb13272214ca0628434f19bf043d79a91682\",0,\"lean_workbook_plus_54145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139521,
+      "path": "data/train/p65/oproofs-s00002-r00007564-n000004-0000-2a6f7776d8ba6aac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2a6f7776d8ba6aac08af088d8d18fa2a97848a35e9e84e59b4d8aad73d67401b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007568-n000004.json b/manifests/batches/oproofs/s00002-r00007568-n000004.json
index ae97a859cd0c6c2d71802436d6852786ce79fdb9..afdf16b3248a05b66af2cc28d7f31a3a0e3749a2 100644
--- a/manifests/batches/oproofs/s00002-r00007568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007568-n000004",
   "batch_fingerprint": "301aa4800ec42dddbfd71de690866a02e60f94e4ee5e9b206d5d2b522d523e8f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007568-n000004-0000-68059fec45138903.parquet",
-      "sha256": "68059fec45138903607b5a48e5b77993aee641de7e6eb99f8489c27e8223d04c",
-      "bytes": 128625,
-      "rows": 15,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007569.lean\",\"b999f9c5f1602744a32878236b4c6e0110146b1aebf4bb2d23941f910e112a91\",0,\"lean_workbook_22813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007570.lean\",\"d8db29c37fae5a1acc0e1f40d109f522588f77a3b78f1c77fec602e639824599\",0,\"lean_workbook_plus_66404\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007571.lean\",\"23787c94b4c0edcb35c571daae2755a76bf72c17c35fd6e4d174b566b124cea0\",0,\"lean_workbook_plus_11479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128625,
+      "path": "data/train/p2c/oproofs-s00002-r00007568-n000004-0000-68059fec45138903.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "68059fec45138903607b5a48e5b77993aee641de7e6eb99f8489c27e8223d04c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007572-n000004.json b/manifests/batches/oproofs/s00002-r00007572-n000004.json
index d8036b225e92177a8278a65dc0c603746899811e..c2b5f58ea29f25a6e1e2b5b297c49d3fbcce3a81 100644
--- a/manifests/batches/oproofs/s00002-r00007572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007572-n000004",
   "batch_fingerprint": "a9445d7db4bf8514ba7327a439dc2f0f5b02690d59f835a00013eeee09c217b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007572-n000004-0000-94c3cca82b684def.parquet",
-      "sha256": "94c3cca82b684defdef59673f2dd8f0c0d416a12b508e156b753130d8914f770",
-      "bytes": 102782,
-      "rows": 11,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007572-n000004-0000-612474b61f269970.parquet",
-      "sha256": "612474b61f2699707ee498131192e86d17050a060da38e66d1d35a70d1f40e56",
-      "bytes": 63844,
-      "rows": 5,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7573",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007573.lean\",\"4f878862dba511d0dea3390c02066c0138af9210948975e3a6989725c4c68ad8\",0,\"lean_workbook_24937\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007574.lean\",\"3f83fb588ee28222a5050387666a846c988504ac1276953df7aa175fc5ff015e\",0,\"lean_workbook_29395\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007575.lean\",\"3d6910c0746d9479cbd013b5ffcf9d314fee03e7f574c9dab26de85709c1f9ea\",0,\"lean_workbook_51196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102782,
+      "path": "data/train/pa8/oproofs-s00002-r00007572-n000004-0000-94c3cca82b684def.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "94c3cca82b684defdef59673f2dd8f0c0d416a12b508e156b753130d8914f770"
+    },
+    {
+      "bytes": 63844,
+      "path": "data/internal_test/pa8/oproofs-s00002-r00007572-n000004-0000-612474b61f269970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "612474b61f2699707ee498131192e86d17050a060da38e66d1d35a70d1f40e56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007576-n000004.json b/manifests/batches/oproofs/s00002-r00007576-n000004.json
index bfe4f12bc543f216cca6b2f86b53d85b14b7f120..7572fd7896fbda3f4deb024f49cc62e18fb37df5 100644
--- a/manifests/batches/oproofs/s00002-r00007576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007576-n000004",
   "batch_fingerprint": "4fe32204ceebedcfd6a8de25fb57be08f16a6a9ea137804ffca06d964f92e3d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007576-n000004-0000-24e6f5f5a9421747.parquet",
-      "sha256": "24e6f5f5a9421747a9a83c9fda9fb51e4d822d3285d76da760f7f88e768edf46",
-      "bytes": 507100,
-      "rows": 20,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007577.lean\",\"355c3fb9613d66d781c2d7a447bf260dbe6e09053b0e2ebfa452b64e09401e4f\",0,\"lean_workbook_plus_24868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007578.lean\",\"80e2f5e2ea16b9d8728efbbe40f9d0dc8a0f35e351b674db4c74822417a3c97f\",0,\"lean_workbook_53943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007579.lean\",\"3ec3bb52301bd0ad3c6cb88af969633b7c1bb3b0f0b8151d211c7bc6334c4a5f\",0,\"lean_workbook_plus_29719\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 507100,
+      "path": "data/train/p3f/oproofs-s00002-r00007576-n000004-0000-24e6f5f5a9421747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "24e6f5f5a9421747a9a83c9fda9fb51e4d822d3285d76da760f7f88e768edf46"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007580-n000004.json b/manifests/batches/oproofs/s00002-r00007580-n000004.json
index 93c15f0cb89a6e50af180d773512af456c9eb043..cb9d8a426787fb9f6bf7d77ec6363608504002e5 100644
--- a/manifests/batches/oproofs/s00002-r00007580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007580-n000004",
   "batch_fingerprint": "c405ad71a57f6b6074127de2678c4232567e1d0d1b6ca005546d6e37e4ce7e84",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7580",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7581",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7582",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7583"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007580.lean\",\"f58782f075c25d93cab6bde6bf86dcfc695949a5f7e8904126be168d148c49f3\",0,\"lean_workbook_11549\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007581.lean\",\"c0dbbd2ec0b2c68148361065d71cf0cc2299ed4ec7e5bcd59fba4d041b3eb7ad\",0,\"lean_workbook_plus_79704\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007582.lean\",\"263c852eefbcb719e9cf9fab3d3003d0248db4cb387d96c6a21406bb96f630f4\",0,\"lean_workbook_plus_69910\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007583.lean\",\"d83e3ef35d0962d2e3b30c8b24b2f18fad1007dc70187ca8858f3efe2936bd6c\",0,\"lean_workbook_39278\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007580-n000004-0000-69f63868b9af17b3.parquet",
-      "sha256": "69f63868b9af17b337d14eb272392efbd1fb69c119c15defe060946f37c435d1",
       "bytes": 207846,
+      "path": "data/train/p65/oproofs-s00002-r00007580-n000004-0000-69f63868b9af17b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "69f63868b9af17b337d14eb272392efbd1fb69c119c15defe060946f37c435d1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007580-n000004-0000-454dff8da58d43c1.parquet",
-      "sha256": "454dff8da58d43c1896c5697a4eecd80811adc658eff5a1d0a47a22029a1e702",
       "bytes": 49868,
+      "path": "data/dev/p65/oproofs-s00002-r00007580-n000004-0000-454dff8da58d43c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "454dff8da58d43c1896c5697a4eecd80811adc658eff5a1d0a47a22029a1e702"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007580-n000004-0000-3dd4fee3d9342638.parquet",
-      "sha256": "3dd4fee3d93426381b813aa4cf4c586b45c7ebbd51e75c97a9e71a381266eb76",
       "bytes": 159654,
+      "path": "data/internal_test/p65/oproofs-s00002-r00007580-n000004-0000-3dd4fee3d9342638.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "3dd4fee3d93426381b813aa4cf4c586b45c7ebbd51e75c97a9e71a381266eb76"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7580",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7581",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7582",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7583"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007580.lean\",\"f58782f075c25d93cab6bde6bf86dcfc695949a5f7e8904126be168d148c49f3\",0,\"lean_workbook_11549\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007581.lean\",\"c0dbbd2ec0b2c68148361065d71cf0cc2299ed4ec7e5bcd59fba4d041b3eb7ad\",0,\"lean_workbook_plus_79704\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007582.lean\",\"263c852eefbcb719e9cf9fab3d3003d0248db4cb387d96c6a21406bb96f630f4\",0,\"lean_workbook_plus_69910\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007583.lean\",\"d83e3ef35d0962d2e3b30c8b24b2f18fad1007dc70187ca8858f3efe2936bd6c\",0,\"lean_workbook_39278\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007584-n000004.json b/manifests/batches/oproofs/s00002-r00007584-n000004.json
index 0565aa1f7e2347f9d6b4646ca410f08e242deeba..c3105c48fe23a3e7abd421da3dbb241e4a1cb5ad 100644
--- a/manifests/batches/oproofs/s00002-r00007584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007584-n000004",
   "batch_fingerprint": "29fd9ec7d8cc473f30f23d36b2ed8d22fe3300ff8c402fbfe1b9592494d5c2e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007584-n000004-0000-60a8d57fab054c76.parquet",
-      "sha256": "60a8d57fab054c76913e68fc1c3bfa484918f910d62a13a5ecc364a89f000900",
-      "bytes": 654678,
-      "rows": 27,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007585.lean\",\"349b0fa8fdb2a1223ad6d10de3821d079496865c94a82354006031aa038d51cd\",0,\"lean_workbook_56212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007586.lean\",\"4d56ff19b9516d3b8e69a9fe08b4140586506a40cb2538a2ad6b62efbc86d689\",0,\"lean_workbook_plus_3482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007587.lean\",\"a094f3e69ed96e4f342c718406bca52fb8d713b1bbb0ecd8b205e34df102ae99\",0,\"lean_workbook_plus_75679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 654678,
+      "path": "data/train/p9e/oproofs-s00002-r00007584-n000004-0000-60a8d57fab054c76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "60a8d57fab054c76913e68fc1c3bfa484918f910d62a13a5ecc364a89f000900"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007588-n000004.json b/manifests/batches/oproofs/s00002-r00007588-n000004.json
index 8273bb7b3aeff1c57e99512e4bbe526cd528c15a..166de6d16f2d800657bbe281024aadc4980e15db 100644
--- a/manifests/batches/oproofs/s00002-r00007588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007588-n000004",
   "batch_fingerprint": "50ab0aac7aaec067aad1026a02d87b8b8be6c69948c3ed88fd629cbb0634f238",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007588-n000004-0000-24689e1c163d7feb.parquet",
-      "sha256": "24689e1c163d7feb6e0424e1f90c7c83988cd45067e21f24efcf85201c6f6357",
-      "bytes": 274961,
-      "rows": 19,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007589.lean\",\"b6efcc48c08a6b4a6b02785dc0edbac99e3b902f7829be90235ce1117167c4f3\",0,\"lean_workbook_plus_40791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007590.lean\",\"d5609b67e29cf6c14e446be022b55f8153d6e5b32ea440edd545ed5000ca25ca\",0,\"lean_workbook_plus_64837\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007591.lean\",\"2630d5d39c049a11d0ac6da8ce2a4292cb79a8611fa480fae4afa436c05f23c3\",0,\"lean_workbook_50892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274961,
+      "path": "data/train/p80/oproofs-s00002-r00007588-n000004-0000-24689e1c163d7feb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "24689e1c163d7feb6e0424e1f90c7c83988cd45067e21f24efcf85201c6f6357"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007592-n000004.json b/manifests/batches/oproofs/s00002-r00007592-n000004.json
index e40e38f57366e3208e3a4c05b85a3db36aa0feb1..51a63a4b701d57fb83e8e6e7dde342a7d8a06434 100644
--- a/manifests/batches/oproofs/s00002-r00007592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007592-n000004",
   "batch_fingerprint": "990a62cb83bd3772d888981a3cde6fcb38aa065a57f8817fe4a451e1a9bba106",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007592-n000004-0000-b7b6f7bbec0d1f7c.parquet",
-      "sha256": "b7b6f7bbec0d1f7c7935b678d6760d073bea24611714151766d52b36f0149cea",
-      "bytes": 104863,
-      "rows": 16,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007593.lean\",\"0152e08ed6c1bd684aecf8e670db58b924c7d35ade37e5077c603ff5761a7ae5\",0,\"lean_workbook_plus_47064\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007594.lean\",\"24a34f5b4bc3b84b0d85df684cb0ee32140681448be2047a532d36e9de7f3671\",0,\"lean_workbook_plus_27174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007595.lean\",\"2e20e7ea222455c1c4bbae4ea34a954514785d991b7b7a4d62ed9dc7b8d55101\",0,\"lean_workbook_plus_65200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104863,
+      "path": "data/train/p5f/oproofs-s00002-r00007592-n000004-0000-b7b6f7bbec0d1f7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b7b6f7bbec0d1f7c7935b678d6760d073bea24611714151766d52b36f0149cea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007596-n000004.json b/manifests/batches/oproofs/s00002-r00007596-n000004.json
index d795ea4b1a5c9839e429228881ee886b828eba58..2756bb16d5d236b96705536d31d904c8e65ff5e0 100644
--- a/manifests/batches/oproofs/s00002-r00007596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007596-n000004",
   "batch_fingerprint": "5fb3e8ba9c5c890930b066b87276b3fb5ef9e72f88cceca625206b0d6fe5698b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007596-n000004-0000-ec988aa0fa98044a.parquet",
-      "sha256": "ec988aa0fa98044ad4c9b3dbbc94f76368c34350d4abaeb534900ca5bb2024e5",
-      "bytes": 233964,
-      "rows": 12,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007596-n000004-0000-7720473d8dbed705.parquet",
-      "sha256": "7720473d8dbed705818d80f9ef27a4dec48e4e2aea9f1849e1ee36e23a6a9d21",
-      "bytes": 76789,
-      "rows": 3,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7597",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007597.lean\",\"c580840f85a1cabcf11f0681906b4a50565d7a3b3e3544e0eff70ad6f3232f18\",0,\"lean_workbook_20068\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007598.lean\",\"c5507989d771a11ecc50f49f3fe271be64872bbea4658f203dec480b95a0c0e1\",0,\"lean_workbook_plus_34061\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007599.lean\",\"30bab72be1cd1078d6cd446050c67f5c120f390db0fe85b1e1ae1f0fef892cb1\",0,\"lean_workbook_37591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233964,
+      "path": "data/train/p57/oproofs-s00002-r00007596-n000004-0000-ec988aa0fa98044a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ec988aa0fa98044ad4c9b3dbbc94f76368c34350d4abaeb534900ca5bb2024e5"
+    },
+    {
+      "bytes": 76789,
+      "path": "data/dev/p57/oproofs-s00002-r00007596-n000004-0000-7720473d8dbed705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7720473d8dbed705818d80f9ef27a4dec48e4e2aea9f1849e1ee36e23a6a9d21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007600-n000004.json b/manifests/batches/oproofs/s00002-r00007600-n000004.json
index 135d898bcf575e0ebf38ed2cd0a67f3879000609..5d3c8bc509b3e0ea7cf2c2894dee29b10b546a11 100644
--- a/manifests/batches/oproofs/s00002-r00007600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007600-n000004",
   "batch_fingerprint": "3091fbfea38d5186752e001a19535c40879a737d599f3d30b4e0b2df6074f981",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007600-n000004-0000-b9897d4b23198972.parquet",
-      "sha256": "b9897d4b23198972c0aa5942ed3b2b3ac8f3840bbc3cf7330ca58c420530a452",
-      "bytes": 396807,
-      "rows": 10,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007600-n000004-0000-bb0366b0ac15a41b.parquet",
-      "sha256": "bb0366b0ac15a41b90f653be6ee74b88e9188265370da0e363757a473f6ab690",
-      "bytes": 331600,
-      "rows": 13,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007601.lean\",\"1c70d44da187dcfd78cae3407961722657c2f910cf4747b462fa77884fa90816\",0,\"lean_workbook_10328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007602.lean\",\"9f101aec1db19c70a6467e44565428346ddac5a79083343388d98e79f821eae2\",0,\"lean_workbook_plus_49310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007603.lean\",\"fa48c1c49b48755cba5d23ce819c58faf13df2dc4e5e457d1198e980ec41ebf2\",0,\"lean_workbook_plus_66411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396807,
+      "path": "data/train/p58/oproofs-s00002-r00007600-n000004-0000-b9897d4b23198972.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b9897d4b23198972c0aa5942ed3b2b3ac8f3840bbc3cf7330ca58c420530a452"
+    },
+    {
+      "bytes": 331600,
+      "path": "data/internal_test/p58/oproofs-s00002-r00007600-n000004-0000-bb0366b0ac15a41b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "bb0366b0ac15a41b90f653be6ee74b88e9188265370da0e363757a473f6ab690"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007604-n000004.json b/manifests/batches/oproofs/s00002-r00007604-n000004.json
index ba08abd605f1e5665f9a75acdb917c81bcef2ffb..e334b2af20895ca682a64f564da5169ab8bbb7bc 100644
--- a/manifests/batches/oproofs/s00002-r00007604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007604-n000004",
   "batch_fingerprint": "04a0839500bda111402f7a40749c02229b0a53706a2b6f188d6848a72030477f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007604-n000004-0000-e43304ef46a349f5.parquet",
-      "sha256": "e43304ef46a349f556cf9b88ae76667a80fd4de8101d05996db1ac0cc333c8d1",
-      "bytes": 328908,
-      "rows": 20,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007605.lean\",\"61e3ae0afecfb74b535896d8232de319aa615307a066ba1af869ad1df55e613c\",0,\"sample_variance_decreases\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007606.lean\",\"d17f637c48252810350f44d546d7dc1bc9e07ff1ecdc9fe186cf5460b11542ed\",0,\"lean_workbook_plus_80374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007607.lean\",\"eb47903cf93d09196dc725398fe14a9d7ebb3bc33123d34ec05c6403ed6232b0\",0,\"lean_workbook_plus_38444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328908,
+      "path": "data/train/pbe/oproofs-s00002-r00007604-n000004-0000-e43304ef46a349f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e43304ef46a349f556cf9b88ae76667a80fd4de8101d05996db1ac0cc333c8d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007608-n000004.json b/manifests/batches/oproofs/s00002-r00007608-n000004.json
index e8fe3bdfbaab776aa7938700ec0d2420421af415..65c15e0b6b619028df946403c90d0753f19590a6 100644
--- a/manifests/batches/oproofs/s00002-r00007608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007608-n000004",
   "batch_fingerprint": "ee634d9e3b2399522f52e69b079de0648c609fd80fe793345c7ad283e2343496",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007608-n000004-0000-cb6361e9f972113f.parquet",
-      "sha256": "cb6361e9f972113f76bc4e3ec016fdc17d793e20cd4eca85570957f1ab3053d1",
-      "bytes": 165789,
-      "rows": 23,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007609.lean\",\"f2b6836683128ffba1ba29fcc75e7a966c923286e2e3c46764104cbdffbb9356\",0,\"lean_workbook_plus_7973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007610.lean\",\"158162dfaaf43fa88779eed93d438c9ed96f5087f8461b33014ac02c04e768b6\",0,\"lean_workbook_plus_62403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007611.lean\",\"1dc578ba9db58417d95bc3aa292ac21a19923b8b9f9a592972721eb1fcafa6a9\",0,\"lean_workbook_plus_55555\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165789,
+      "path": "data/train/p1d/oproofs-s00002-r00007608-n000004-0000-cb6361e9f972113f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "cb6361e9f972113f76bc4e3ec016fdc17d793e20cd4eca85570957f1ab3053d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007612-n000004.json b/manifests/batches/oproofs/s00002-r00007612-n000004.json
index 011364ab6237b683e504a67b3dea4f093735b561..23c8adbc05638b63e15d570c3fb78c742328409e 100644
--- a/manifests/batches/oproofs/s00002-r00007612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007612-n000004",
   "batch_fingerprint": "5eb62810eb62cc0a36070a71e45b6423aa53205ce42a9f0ab1feea40a7d6118e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007612-n000004-0000-20e969f391c45f63.parquet",
-      "sha256": "20e969f391c45f63f936f9c140c3e981a7fb902e82bed728b0664a396931f557",
-      "bytes": 662141,
-      "rows": 22,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007613.lean\",\"92d03151c6001e1c6c42b3f0f84516fc623ace264c2c39a25bda6cf9fc6f9fa9\",0,\"lean_workbook_plus_47813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007614.lean\",\"68d08dc7c71b72237b0596fc1fad33abc7def52be0f4f8ed96648d35f0ec9032\",0,\"lean_workbook_3836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007615.lean\",\"49877861cddaf87d64cdb61b2192820435787e692e5173840d743c2b8ff33e9c\",0,\"lean_workbook_plus_63591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662141,
+      "path": "data/train/p1b/oproofs-s00002-r00007612-n000004-0000-20e969f391c45f63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "20e969f391c45f63f936f9c140c3e981a7fb902e82bed728b0664a396931f557"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007616-n000004.json b/manifests/batches/oproofs/s00002-r00007616-n000004.json
index fd627c3278355d82151747fb46b321c3de1fdee2..7c7cdec79356e902550b34b031fd2a5ea24ba9bb 100644
--- a/manifests/batches/oproofs/s00002-r00007616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007616-n000004",
   "batch_fingerprint": "5db879a7520c15d73218e0461503f2394d4524b8b3c2cda6aa9a7f722de6f886",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007616-n000004-0000-499af22ff1784eea.parquet",
-      "sha256": "499af22ff1784eeac285a16617586dbafdff09f658d33c28089bff8b85adaf52",
-      "bytes": 175343,
-      "rows": 12,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007616-n000004-0000-b0305d90d30ac56d.parquet",
-      "sha256": "b0305d90d30ac56dcdc0fb5af3bc626440334d6093391b38349577806c26178b",
-      "bytes": 110846,
-      "rows": 4,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007617.lean\",\"958077c508412eb3622e4ba9a9d06a8a59071174b32853ff558493df72ffdb72\",0,\"set_intersection_complement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007618.lean\",\"00499d98cc055bd895df3a07f15e18b3287566f1fda63a59fb250b64318f305b\",0,\"lean_workbook_plus_52162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007619.lean\",\"a1166e8e96fb3b4f8ee4762808e3ea6bf514d002af8510972a90a5187058b458\",0,\"lean_workbook_plus_50313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175343,
+      "path": "data/train/p0f/oproofs-s00002-r00007616-n000004-0000-499af22ff1784eea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "499af22ff1784eeac285a16617586dbafdff09f658d33c28089bff8b85adaf52"
+    },
+    {
+      "bytes": 110846,
+      "path": "data/dev/p0f/oproofs-s00002-r00007616-n000004-0000-b0305d90d30ac56d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b0305d90d30ac56dcdc0fb5af3bc626440334d6093391b38349577806c26178b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007620-n000004.json b/manifests/batches/oproofs/s00002-r00007620-n000004.json
index 6076ba8302bc0071beada902209290244cab441f..c03e899247941bede1bfc24738b4f44075cba199 100644
--- a/manifests/batches/oproofs/s00002-r00007620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007620-n000004",
   "batch_fingerprint": "f978f0c25d8a0c1ae0e65193ffc23ce652114a3e29e676163bb1c3578c517865",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007620-n000004-0000-e9169b32ef8e8527.parquet",
-      "sha256": "e9169b32ef8e8527f76b48f77036b97e4ad0c0aec96d04719b862246ae8f09df",
-      "bytes": 993768,
-      "rows": 7,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007620-n000004-0001-b49a6d5f55104c80.parquet",
-      "sha256": "b49a6d5f55104c80f03fb22bc4d09c465349fd88f620a70500f7116725d94b90",
-      "bytes": 544523,
-      "rows": 16,
-      "revision": "a44152991831277117b45de2e108e3214cca73a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7621",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007621.lean\",\"24465349e10c5d1107aaa528e270b671f2657e238c4d78ba7a36bbd91aff5fca\",0,\"lean_workbook_plus_29387\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007622.lean\",\"86ea700cdda26f6b01e6a1e2e1d4c48834dd8072ad05ab0cecd9f607a3f93aa4\",0,\"lean_workbook_plus_25592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007623.lean\",\"ad3bb9a52fa111a69099028ac1f8f32aea90a7d136213e12d2d0a75a101f9db5\",0,\"lean_workbook_plus_56860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 993768,
+      "path": "data/train/p48/oproofs-s00002-r00007620-n000004-0000-e9169b32ef8e8527.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e9169b32ef8e8527f76b48f77036b97e4ad0c0aec96d04719b862246ae8f09df"
+    },
+    {
+      "bytes": 544523,
+      "path": "data/train/p48/oproofs-s00002-r00007620-n000004-0001-b49a6d5f55104c80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b49a6d5f55104c80f03fb22bc4d09c465349fd88f620a70500f7116725d94b90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007624-n000004.json b/manifests/batches/oproofs/s00002-r00007624-n000004.json
index 3d114d131237fff251cb72cdda23699b84efb79d..91fe475a16faddac8a1d7396e092a62bcf3b3dd4 100644
--- a/manifests/batches/oproofs/s00002-r00007624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007624-n000004",
   "batch_fingerprint": "d664a7ef0e56aced1f2961d8fe6f5e9f225508c9b019db3a536e71939ccc62e0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007624-n000004-0000-b46f7e3872832c27.parquet",
-      "sha256": "b46f7e3872832c273b3d55f6ab46251634e382f1a3d71002a6aac29323230b4d",
-      "bytes": 209110,
-      "rows": 21,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007624-n000004-0000-56cfd10b04f45ad6.parquet",
-      "sha256": "56cfd10b04f45ad63d8a20cc1e6bc3a4048596827096355cb18e0436bc020aa0",
-      "bytes": 494725,
-      "rows": 5,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007625.lean\",\"a58fb7cacf9a85c217cdecbe8ac4d130ec55dd92fd73bd7f8da5e97a41de6cd1\",0,\"lean_workbook_plus_71183\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007626.lean\",\"dbe5a1ab23033ca006873c93fb56e16a7cba43c0f6adc280a94f0f43ee9689ae\",0,\"quadratic_roots_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007627.lean\",\"03790706caa4e32268a7efbcd9ccea75245dbcbd11b58dfc428f431f1d984448\",0,\"lean_workbook_plus_54990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209110,
+      "path": "data/train/p71/oproofs-s00002-r00007624-n000004-0000-b46f7e3872832c27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b46f7e3872832c273b3d55f6ab46251634e382f1a3d71002a6aac29323230b4d"
+    },
+    {
+      "bytes": 494725,
+      "path": "data/internal_test/p71/oproofs-s00002-r00007624-n000004-0000-56cfd10b04f45ad6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "56cfd10b04f45ad63d8a20cc1e6bc3a4048596827096355cb18e0436bc020aa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007628-n000004.json b/manifests/batches/oproofs/s00002-r00007628-n000004.json
index a0e514d0523338eacd2d36764d2f97805c5f0609..2e6901cbcda88051ed80ca5fa61ca1b568bdd996 100644
--- a/manifests/batches/oproofs/s00002-r00007628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007628-n000004",
   "batch_fingerprint": "35b710438c5458fe8c964dd9c31c761c98a78cc0a78d71b6e8ce54467bf56ee1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007628-n000004-0000-37537d9fff02eb96.parquet",
-      "sha256": "37537d9fff02eb96ef5d9db0c7dc4d85742ab7ea215d98f59127ce03080e03cf",
-      "bytes": 133324,
-      "rows": 12,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007628-n000004-0000-611d733bca4ab027.parquet",
-      "sha256": "611d733bca4ab027758969ed2728ffac0182a76f306acdc5fe150f37bbd3bf2a",
-      "bytes": 136051,
-      "rows": 5,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007629.lean\",\"67f49169af57189e42c0b0522c833f5c6766e6014430aaa605abc30a913d8ce4\",0,\"lean_workbook_29779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007630.lean\",\"d6c0147c35037957f25f0c00802bc8a1a09a61fbc236f97e2289aa58540c7bb9\",0,\"lean_workbook_plus_63700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007631.lean\",\"6a18778e5c46985fefb7c03bab500a3817e09d2cd5b0d409b18500655aa6cbd7\",0,\"lean_workbook_plus_70992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133324,
+      "path": "data/train/p76/oproofs-s00002-r00007628-n000004-0000-37537d9fff02eb96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "37537d9fff02eb96ef5d9db0c7dc4d85742ab7ea215d98f59127ce03080e03cf"
+    },
+    {
+      "bytes": 136051,
+      "path": "data/dev/p76/oproofs-s00002-r00007628-n000004-0000-611d733bca4ab027.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "611d733bca4ab027758969ed2728ffac0182a76f306acdc5fe150f37bbd3bf2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007632-n000004.json b/manifests/batches/oproofs/s00002-r00007632-n000004.json
index f3caa5fa989e089db9aaaa94c0ad17d4cd56a935..7a417fe6b7d97c141656d5b8732f19450ebca985 100644
--- a/manifests/batches/oproofs/s00002-r00007632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007632-n000004",
   "batch_fingerprint": "e38e73856da7291669dbcaad437a6803615e60bbc5995a3bf2493c99735c57cd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007632-n000004-0000-ae0415a82980d4bb.parquet",
-      "sha256": "ae0415a82980d4bb5b3688591938a2e5ac0905b382010f34d9a1588b6e4a9de6",
-      "bytes": 96994,
-      "rows": 10,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007632-n000004-0000-3cf1b73dfbe2b00a.parquet",
-      "sha256": "3cf1b73dfbe2b00aba47937a563641d87a2f87b83ef1eafefc9ebe9bf6ec7638",
-      "bytes": 167157,
-      "rows": 8,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007633.lean\",\"368e2c4a91edeaee55cdbd798d62221d0d53c119c6965568d3a832ae9a6f47df\",0,\"lean_workbook_32957\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007634.lean\",\"368aed61b6892c306016e75975f28646d71c2630f804362588116ef0c6e90b06\",0,\"parallel_lines_max_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007635.lean\",\"f7e7dd9205e9dfa812429d295a40e675a72d890d3d373e6a41c27156ca236d9c\",0,\"lean_workbook_plus_59748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96994,
+      "path": "data/train/p2d/oproofs-s00002-r00007632-n000004-0000-ae0415a82980d4bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "ae0415a82980d4bb5b3688591938a2e5ac0905b382010f34d9a1588b6e4a9de6"
+    },
+    {
+      "bytes": 167157,
+      "path": "data/dev/p2d/oproofs-s00002-r00007632-n000004-0000-3cf1b73dfbe2b00a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3cf1b73dfbe2b00aba47937a563641d87a2f87b83ef1eafefc9ebe9bf6ec7638"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007636-n000004.json b/manifests/batches/oproofs/s00002-r00007636-n000004.json
index 063a5a53a123241667b03d811f69e91a4971e1ea..2052d3d49df832c115c5d6bb28f0a98e9c3943ec 100644
--- a/manifests/batches/oproofs/s00002-r00007636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007636-n000004",
   "batch_fingerprint": "f2cee91c274ae51403ecf318e2149ff3947a1feb3860bda6b410bbadb7c414d3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007636-n000004-0000-b708f29d02078b95.parquet",
-      "sha256": "b708f29d02078b95eb4f8a28f78c30c790b4c771f428e627def67235e4a86752",
-      "bytes": 111577,
-      "rows": 13,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007637.lean\",\"06616ecb7979ab438380bee7d322b8eab065be5e8f1b57fffa56ce8dd605075f\",0,\"lean_workbook_plus_62928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007638.lean\",\"37001b5cf2d9bd85e27ac16d8b793eb9ea6ac7fce22747564583caa546964939\",0,\"lean_workbook_plus_56550\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007639.lean\",\"94313d2b12d0f91666ba524a3236cfa8094d4007cd85aea5cc6afc1885f10a3d\",0,\"lean_workbook_plus_40977\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 111577,
+      "path": "data/train/paf/oproofs-s00002-r00007636-n000004-0000-b708f29d02078b95.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b708f29d02078b95eb4f8a28f78c30c790b4c771f428e627def67235e4a86752"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007640-n000004.json b/manifests/batches/oproofs/s00002-r00007640-n000004.json
index 114c7d93ee3186c9cc87db11c64feb54cb49b075..6ae3562c4ebe73f68100440bc8bb901daedb713d 100644
--- a/manifests/batches/oproofs/s00002-r00007640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007640-n000004",
   "batch_fingerprint": "a0be7221edb8e78f3333a5ea6b4b91ffdc6f641eb3e8e6e5d0012481e93eb4c1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007640-n000004-0000-dc6191769530c2a3.parquet",
-      "sha256": "dc6191769530c2a3ec2bb174786f0125b808ae77f914f79916433b27dfa86a9e",
-      "bytes": 82979,
-      "rows": 12,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007641.lean\",\"f4982495e00b9d721509aafbb22bca8aa5bf79e568b360463ef760bd1a3a4bb3\",0,\"lean_workbook_plus_60086\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007642.lean\",\"329f21e55da80bdb2e91812e7c685827d6d130bfe888bf80e7025121592a2fff\",0,\"lean_workbook_22813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007643.lean\",\"b4af106c50544716e9c382c021b5f3e9608a993d3a3cfa0ff1ad2f78161c6ca6\",0,\"lean_workbook_plus_11479\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82979,
+      "path": "data/train/p1a/oproofs-s00002-r00007640-n000004-0000-dc6191769530c2a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "dc6191769530c2a3ec2bb174786f0125b808ae77f914f79916433b27dfa86a9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007644-n000004.json b/manifests/batches/oproofs/s00002-r00007644-n000004.json
index fb9c53a8c4109993a38a3e38e3d8258a3f95cb3a..12ab965bef43b83a74c232de5a079f926b8819d0 100644
--- a/manifests/batches/oproofs/s00002-r00007644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007644-n000004",
   "batch_fingerprint": "4a1b624ae095679d4c96bbe73df4877c8aa6858f046d4fa833968c788d8d2c8c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007644-n000004-0000-d64efcf6cd2a91d2.parquet",
-      "sha256": "d64efcf6cd2a91d2b5a1e9e448ff9b480cb8eda4716d2fd51cd18219c4635d48",
-      "bytes": 122443,
-      "rows": 10,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007644-n000004-0000-e00cc09d74f9eb04.parquet",
-      "sha256": "e00cc09d74f9eb041996e757dde3cbddfc6ba96c6a6610d1310c172d36c1470e",
-      "bytes": 65245,
-      "rows": 3,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007645.lean\",\"17458f4a88c66d130a8cba7bb0846b4f4aaa9f6d6b30a8e034fe2d7a7e2155ce\",0,\"lean_workbook_plus_66404\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007646.lean\",\"76df56f70541e08b0731576c78f9a0dc864fef6ed7b4e799988d3a205174b1be\",0,\"lean_workbook_29395\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007647.lean\",\"06051839fc9e9488f520a0c1bf60151c8981bdf3585c8d8d076c3fc2c5944c16\",0,\"lean_workbook_51196\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122443,
+      "path": "data/train/p4c/oproofs-s00002-r00007644-n000004-0000-d64efcf6cd2a91d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d64efcf6cd2a91d2b5a1e9e448ff9b480cb8eda4716d2fd51cd18219c4635d48"
+    },
+    {
+      "bytes": 65245,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00007644-n000004-0000-e00cc09d74f9eb04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e00cc09d74f9eb041996e757dde3cbddfc6ba96c6a6610d1310c172d36c1470e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007648-n000004.json b/manifests/batches/oproofs/s00002-r00007648-n000004.json
index 7a0112e53391794b14ab50ceb409173466bbeada..6523b7001417c6c0337ccfc097a5769822011137 100644
--- a/manifests/batches/oproofs/s00002-r00007648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007648-n000004",
   "batch_fingerprint": "726542fc529b077844918823d684b49001308ecd0163a7ef44d553f55544cfee",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007648-n000004-0000-5560cb17486e5c2a.parquet",
-      "sha256": "5560cb17486e5c2a121b57e5c10c095219f499cdcbfe34da29fa09451e054a85",
-      "bytes": 492946,
-      "rows": 28,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007649.lean\",\"90fc35a7e7ed54f05e4a6432cfb01184600aaadc8628f9012afc33ad93545b32\",0,\"lean_workbook_plus_24868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007650.lean\",\"1df83b65963f89f77d47c35989cf0cfae07fd809edb0fc326e52b97997f823d8\",0,\"lean_workbook_53943\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007651.lean\",\"83abca354ce65f5fdd63fda234377205771335a4497910eda5cf8da8040d070f\",0,\"lean_workbook_11549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 492946,
+      "path": "data/train/pde/oproofs-s00002-r00007648-n000004-0000-5560cb17486e5c2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5560cb17486e5c2a121b57e5c10c095219f499cdcbfe34da29fa09451e054a85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007652-n000004.json b/manifests/batches/oproofs/s00002-r00007652-n000004.json
index d935988848ad44f3016992cb4fe96e3ea6d91e93..d7aba4e120450dd78353d73ad588ab45c81a9382 100644
--- a/manifests/batches/oproofs/s00002-r00007652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007652-n000004",
   "batch_fingerprint": "564b1a5d05cfea59d504b277ef0f28f80d01cfa0f6c1ff8819cbc1be5c72928b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7652",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7653",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7654",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7655"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007652.lean\",\"89eb4be3ab322093bbaa14f50c4a72dc328c9b7ab9b7d1fc31931f1586228d89\",0,\"lean_workbook_plus_69910\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007653.lean\",\"f8c212b23e37e19c9aed38e8b06e9f58e42a7a1b17c249c2859142f96bfef182\",0,\"lean_workbook_plus_79704\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007654.lean\",\"f16ef1190771e79dc46cb65b36d19cb89b303d230b0076acc0b76485b7cfe378\",0,\"lean_workbook_plus_28137\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007655.lean\",\"674dc4fd61be658dc826462833e33853e68f6af6b88b958e05fdabd1ab342eb9\",0,\"lean_workbook_39278\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007652-n000004-0000-6f67ed6cd9c3491b.parquet",
-      "sha256": "6f67ed6cd9c3491b5f881aa517266b91405d7dadcef6485eec64ae0a4fa6cfc1",
       "bytes": 114942,
+      "path": "data/train/p1f/oproofs-s00002-r00007652-n000004-0000-6f67ed6cd9c3491b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "6f67ed6cd9c3491b5f881aa517266b91405d7dadcef6485eec64ae0a4fa6cfc1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007652-n000004-0000-9913c9229e2b138d.parquet",
-      "sha256": "9913c9229e2b138d5ab4b82f9b37c2e82e531f0e31da34e06fb9611d21212b70",
       "bytes": 50215,
+      "path": "data/dev/p1f/oproofs-s00002-r00007652-n000004-0000-9913c9229e2b138d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "9913c9229e2b138d5ab4b82f9b37c2e82e531f0e31da34e06fb9611d21212b70"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007652-n000004-0000-5bd55e8bdf4533e8.parquet",
-      "sha256": "5bd55e8bdf4533e8a88053328e3d03cd98f0792d970a7c22fd3b4520ad3acdf3",
       "bytes": 186591,
+      "path": "data/internal_test/p1f/oproofs-s00002-r00007652-n000004-0000-5bd55e8bdf4533e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
+      "sha256": "5bd55e8bdf4533e8a88053328e3d03cd98f0792d970a7c22fd3b4520ad3acdf3"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7652",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7653",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7654",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7655"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007652.lean\",\"89eb4be3ab322093bbaa14f50c4a72dc328c9b7ab9b7d1fc31931f1586228d89\",0,\"lean_workbook_plus_69910\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007653.lean\",\"f8c212b23e37e19c9aed38e8b06e9f58e42a7a1b17c249c2859142f96bfef182\",0,\"lean_workbook_plus_79704\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007654.lean\",\"f16ef1190771e79dc46cb65b36d19cb89b303d230b0076acc0b76485b7cfe378\",0,\"lean_workbook_plus_28137\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007655.lean\",\"674dc4fd61be658dc826462833e33853e68f6af6b88b958e05fdabd1ab342eb9\",0,\"lean_workbook_39278\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007656-n000004.json b/manifests/batches/oproofs/s00002-r00007656-n000004.json
index 214a8555534348461709a3f5d2007ffeffefbeeb..5016042c743e24d8ebbb6e8770e71b303cd3156c 100644
--- a/manifests/batches/oproofs/s00002-r00007656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007656-n000004",
   "batch_fingerprint": "ca168651f57c70952ae5fc22be2851059ec1d6e08d4a097f3673c13392b63314",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007656-n000004-0000-ced1559ecf3c8099.parquet",
-      "sha256": "ced1559ecf3c8099ae1a76db3128a3a8f57b132aa3c2ff489ff25a4867b2c6d6",
-      "bytes": 359826,
-      "rows": 20,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007657.lean\",\"efefd3beba4845177e6a44097234aba6757e696459c9eb2c74a0e16b3b51b955\",0,\"lean_workbook_plus_25547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007658.lean\",\"e5be4bc200ba5da98004244531d0c7b31d30323106e0692e2dbe34a379835122\",0,\"lean_workbook_plus_40791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007659.lean\",\"3f193ed7608415ee1e90e1734507acd925ce91f1465079c4a1afce629cb25f43\",0,\"lean_workbook_plus_64837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359826,
+      "path": "data/train/p30/oproofs-s00002-r00007656-n000004-0000-ced1559ecf3c8099.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ced1559ecf3c8099ae1a76db3128a3a8f57b132aa3c2ff489ff25a4867b2c6d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007660-n000004.json b/manifests/batches/oproofs/s00002-r00007660-n000004.json
index 5ad1c2a35adc49639fe9c878e6f4c003f5af322c..4fb6e6064bf95ec54dcc92c9395c952adc8570cb 100644
--- a/manifests/batches/oproofs/s00002-r00007660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007660-n000004",
   "batch_fingerprint": "e10f9453421f0b1f5790cce396df0a5b3143aac9b4d0113b59e725253e166f1e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007660-n000004-0000-52bc3ff73238554e.parquet",
-      "sha256": "52bc3ff73238554e6537e6a401752bf1ed5e75bd03fc12ecce6d945689e4d2ef",
-      "bytes": 132519,
-      "rows": 16,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7661",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007661.lean\",\"84678341c13b7bdb0a658b8905598aab03a0dc834f670fcf733d9c3292a6b1d4\",0,\"lean_workbook_30692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007662.lean\",\"616b85c0d35eb7aa553f3475487ec81a3c04795afd75fcf6e3743277b6dbe825\",0,\"lean_workbook_plus_27174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007663.lean\",\"ffd8f1813c61ac941efb912651608a075e8df0ec10cb4feed08542ea811d6512\",0,\"lean_workbook_plus_47064\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132519,
+      "path": "data/train/p58/oproofs-s00002-r00007660-n000004-0000-52bc3ff73238554e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "52bc3ff73238554e6537e6a401752bf1ed5e75bd03fc12ecce6d945689e4d2ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007664-n000004.json b/manifests/batches/oproofs/s00002-r00007664-n000004.json
index 0cc167a3aa46903b4541a6612e549bf9e40bce63..2141738383793250cd0099ddebff83bd65702f26 100644
--- a/manifests/batches/oproofs/s00002-r00007664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007664-n000004",
   "batch_fingerprint": "c3889bd5ae3b7588a83a5fee4762599075cdf75a6480661b08d297eeecea12f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007664-n000004-0000-ebb612bf19f9a660.parquet",
-      "sha256": "ebb612bf19f9a660622f4778f5cb74b2abc072f44d536956aaca19468c29a54a",
-      "bytes": 185087,
-      "rows": 15,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007664-n000004-0000-43f3d924a91569d2.parquet",
-      "sha256": "43f3d924a91569d2dcf9ffec4fcf7327c6330a9c83ba49fd975233508e838b1b",
-      "bytes": 83698,
-      "rows": 2,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007665.lean\",\"7e6e7415206a3b43347cf2d892c3bc661544f6e30714e24caa7d68b3e81beb97\",0,\"lean_workbook_plus_72016\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007666.lean\",\"a6575f07341d2bda7122b3854544c0af7faf281a7dcf9f87ed9748cfdadd3562\",0,\"lean_workbook_20068\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007667.lean\",\"80abb36f558892eb788002c4142bbe1285400e66050097eb3947ca0d171500c2\",0,\"lean_workbook_plus_12934\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185087,
+      "path": "data/train/p41/oproofs-s00002-r00007664-n000004-0000-ebb612bf19f9a660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ebb612bf19f9a660622f4778f5cb74b2abc072f44d536956aaca19468c29a54a"
+    },
+    {
+      "bytes": 83698,
+      "path": "data/dev/p41/oproofs-s00002-r00007664-n000004-0000-43f3d924a91569d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "43f3d924a91569d2dcf9ffec4fcf7327c6330a9c83ba49fd975233508e838b1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007668-n000004.json b/manifests/batches/oproofs/s00002-r00007668-n000004.json
index e5cfbd0e3f3361e8ead6c0fe4bd8a971d2d97d95..e32461cea3dab36fbe6aaafcd04915d5cf1806a9 100644
--- a/manifests/batches/oproofs/s00002-r00007668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007668-n000004",
   "batch_fingerprint": "5c306f15ba54f566d1306a6f0d43189896d8c7653b5e02fadcb48da52ebd9845",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007668-n000004-0000-18a91e117effb0c7.parquet",
-      "sha256": "18a91e117effb0c7a710f63d01da3a048108cc17a121c17895fc8c9571448138",
-      "bytes": 228512,
-      "rows": 14,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007668-n000004-0000-e656ae2f98b9d22b.parquet",
-      "sha256": "e656ae2f98b9d22bace55f484cb3571a854d7686b4ca3f05b27fa8e3d2928949",
-      "bytes": 39713,
-      "rows": 2,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007669.lean\",\"748407832beec0b8586e37edcfb1dd5ee2d7f3a5a7bf8e7440cc73d52fa08257\",0,\"lean_workbook_37591\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007670.lean\",\"5245efd787f5a6aec9dccf0e7cf57e6ff5540e21c281240db7e6b6ba5d126df3\",0,\"lean_workbook_plus_66411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007671.lean\",\"78f337e580b5d435675ca8df76b0b5fdbb9f246ea7d6d16b71f66cd623dcfe98\",0,\"mac_speed_is_four\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228512,
+      "path": "data/train/p07/oproofs-s00002-r00007668-n000004-0000-18a91e117effb0c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "18a91e117effb0c7a710f63d01da3a048108cc17a121c17895fc8c9571448138"
+    },
+    {
+      "bytes": 39713,
+      "path": "data/internal_test/p07/oproofs-s00002-r00007668-n000004-0000-e656ae2f98b9d22b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e656ae2f98b9d22bace55f484cb3571a854d7686b4ca3f05b27fa8e3d2928949"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007672-n000004.json b/manifests/batches/oproofs/s00002-r00007672-n000004.json
index 26628945d549f7b1d5e911616b042fc66187c497..73b49c56b02c5b87351e9e89040ab5d3c4b8ad82 100644
--- a/manifests/batches/oproofs/s00002-r00007672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007672-n000004",
   "batch_fingerprint": "6a0326b0011ed75800319c7b41220de689d7f23faf96d2232a15383399f9ed28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007672-n000004-0000-9c59a8b53c7a678a.parquet",
-      "sha256": "9c59a8b53c7a678a30660705de57facb4bd11e0f55b4218c227ff56214b3952c",
-      "bytes": 337513,
-      "rows": 21,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007673.lean\",\"97ca325df9581eb6978ddb2802206e73f0374168cb1c17535a3b13019a962512\",0,\"lean_workbook_plus_28690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007674.lean\",\"81b963471a4401e017afb170535a9c6002d4c0807faca4d81d23af3b63304ba3\",0,\"circle_tangent_bisection\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007675.lean\",\"6c89117e63b217f1931e6989051f93c09a1c3833786e6b3ede516b4cf53094ce\",0,\"sample_variance_decreases\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 337513,
+      "path": "data/train/pcb/oproofs-s00002-r00007672-n000004-0000-9c59a8b53c7a678a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9c59a8b53c7a678a30660705de57facb4bd11e0f55b4218c227ff56214b3952c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007676-n000004.json b/manifests/batches/oproofs/s00002-r00007676-n000004.json
index 67487b0eae9a5aa4e3a89ed40e191c30286182fc..b4671f3141a1addeb0c6269f663f4c65ee8182a2 100644
--- a/manifests/batches/oproofs/s00002-r00007676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007676-n000004",
   "batch_fingerprint": "3aa4596aab384a7749c10587ef84b9aee86219e056964252aa1a7696c89265f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007676-n000004-0000-5405ca414fe84bd0.parquet",
-      "sha256": "5405ca414fe84bd01b1792f75ae9c975901776c12efaf6f2fe2dadcd83762ad5",
-      "bytes": 185690,
-      "rows": 18,
-      "revision": "85e133e31422fde4708267f18e2d427761c061b4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007677.lean\",\"a24c96348e0fdd7f0c033cb1b47a0780f85980fe193e93e21af91bbb18355949\",0,\"lean_workbook_plus_32799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007678.lean\",\"0d438f11edb36b0dd9a66b3ff5f6d5aa8cdb7f36dad52e0be80aebce7c76eef1\",0,\"lean_workbook_plus_2849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007679.lean\",\"5998580eb6f5614b5607931ded4ac82641efa7ab60404ab487df6c9f8579856b\",0,\"lean_workbook_plus_7973\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185690,
+      "path": "data/train/pd7/oproofs-s00002-r00007676-n000004-0000-5405ca414fe84bd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5405ca414fe84bd01b1792f75ae9c975901776c12efaf6f2fe2dadcd83762ad5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007680-n000004.json b/manifests/batches/oproofs/s00002-r00007680-n000004.json
index 6ad12508152c861dac610f92a5d67a1a258d911a..92a30120920c1648b2f6ea3979627aaba7797b27 100644
--- a/manifests/batches/oproofs/s00002-r00007680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007680-n000004",
   "batch_fingerprint": "ce133e88eb900d96bb8c4ff6bed0aee3a40d2963426945a8f2aaae0ac0591a11",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007680-n000004-0000-677af462e2394218.parquet",
-      "sha256": "677af462e239421864371ea3667aead3140a86d625f9200ac060a79aa61dee0c",
-      "bytes": 233981,
-      "rows": 14,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7681",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007681.lean\",\"ae09e36193483d832f53c679e8d96d5438931fb08359639f03246c94329f55d7\",0,\"lean_workbook_22544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007682.lean\",\"d3ee098f160542c33f39f869febb1a0edadd38871465332a60d835c69761ae78\",0,\"lean_workbook_plus_49310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007683.lean\",\"473d36fa142eb66bfca6c85505cdc762880aa8679df25e2bdb74d4fc936ed443\",0,\"lean_workbook_plus_63591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233981,
+      "path": "data/train/pfe/oproofs-s00002-r00007680-n000004-0000-677af462e2394218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "677af462e239421864371ea3667aead3140a86d625f9200ac060a79aa61dee0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007684-n000004.json b/manifests/batches/oproofs/s00002-r00007684-n000004.json
index 5ddb1062bdca1ed2f5962a7865d1289ddeda7953..ffd4f4a0f93d0efa3d1e9b0b44e19c0ecaf5475d 100644
--- a/manifests/batches/oproofs/s00002-r00007684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007684-n000004",
   "batch_fingerprint": "d7d5103b0bb6bfaee87e9cb35cac16f8f36a5b3f0a8f9dd134593c8781c142a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007684-n000004-0000-49fbeb4cf57e6f81.parquet",
-      "sha256": "49fbeb4cf57e6f81b3b286d00c68715a4eff82d633b50fa2408cb9912307a2aa",
-      "bytes": 293513,
-      "rows": 17,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007685.lean\",\"b2c80ce2aabffc90071bed0888761c65228daa59d6c27160b4729c78da5a262f\",0,\"lean_workbook_plus_47813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007686.lean\",\"913ef4b92d5cde41bb6cc20d95f354aac3376db220c0f49e4bd8d4784d53f671\",0,\"lean_workbook_14602\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007687.lean\",\"f61fcd7034438f13379f78829ed3ef98b1a4c7477e7b21065772c2f8adba79e8\",0,\"lean_workbook_plus_52162\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293513,
+      "path": "data/train/pb0/oproofs-s00002-r00007684-n000004-0000-49fbeb4cf57e6f81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "49fbeb4cf57e6f81b3b286d00c68715a4eff82d633b50fa2408cb9912307a2aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007688-n000004.json b/manifests/batches/oproofs/s00002-r00007688-n000004.json
index c0851a5af0ba57b9c1b1784410e2636e81691219..621a21cf3b8610dab0e19420adfe4c3db4196e5a 100644
--- a/manifests/batches/oproofs/s00002-r00007688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007688-n000004",
   "batch_fingerprint": "21ae20988d60627789e38061dbb56a7fd9505ea12faab0b2b82ac67e697b2a6f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007688-n000004-0000-d8be9127c9af8bf2.parquet",
-      "sha256": "d8be9127c9af8bf2d2fe845b4d42016b6faa84aeb81ff56540c032a9ceba0ffe",
-      "bytes": 223571,
-      "rows": 12,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007688-n000004-0000-6008634711c662e5.parquet",
-      "sha256": "6008634711c662e577ff1ac6cc33f63e69ae9148fea150762418876fdf379efd",
-      "bytes": 90144,
-      "rows": 5,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007689.lean\",\"1b85e40db455a5a9c1771a0706ee6811706acffa3d9626dd58b44abcb6b07d06\",0,\"lean_workbook_plus_12331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007690.lean\",\"38fd060f24b21814b1ba24c8ed6419cea23c7d2f95e72fde09f9d93cad41a098\",0,\"lean_workbook_plus_62403\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007691.lean\",\"48f9ba662ffe596891357811af6d463d1ad076646a83f1925e2f45618d2c2c15\",0,\"lean_workbook_plus_50313\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223571,
+      "path": "data/train/p20/oproofs-s00002-r00007688-n000004-0000-d8be9127c9af8bf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d8be9127c9af8bf2d2fe845b4d42016b6faa84aeb81ff56540c032a9ceba0ffe"
+    },
+    {
+      "bytes": 90144,
+      "path": "data/internal_test/p20/oproofs-s00002-r00007688-n000004-0000-6008634711c662e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6008634711c662e577ff1ac6cc33f63e69ae9148fea150762418876fdf379efd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007692-n000004.json b/manifests/batches/oproofs/s00002-r00007692-n000004.json
index 1c95873293c5a7a234f62218a9d4473ab192d4b2..82e7fe7bb305b77806a68a289928e65b07a8386d 100644
--- a/manifests/batches/oproofs/s00002-r00007692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007692-n000004",
   "batch_fingerprint": "c77fe62d36153fb18f06adcd5b61a6e4681e7479793c5fb049e20ac98ac3b4ac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007692-n000004-0000-f4e06f59189ce095.parquet",
-      "sha256": "f4e06f59189ce095efe9c1a41c5468fc0ad3fa741c64bb2825c030779dd69c6e",
-      "bytes": 202317,
-      "rows": 21,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007693.lean\",\"1375b94e8a77bcc84a26358a005329cda4e30a0e5fdf736d0f7ee945f052dfba\",0,\"lean_workbook_plus_74106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007694.lean\",\"795174fea147aba81365e3309987b78e68905a5c6d5ba91c0a59a39d2dca5bd1\",0,\"lean_workbook_plus_54990\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007695.lean\",\"46027d89a00d1b9672aa5d9c3a805b7ad2b1211ce64f2eb8ee9e3cbef82bbe2c\",0,\"lean_workbook_29779\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202317,
+      "path": "data/train/p96/oproofs-s00002-r00007692-n000004-0000-f4e06f59189ce095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f4e06f59189ce095efe9c1a41c5468fc0ad3fa741c64bb2825c030779dd69c6e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007696-n000004.json b/manifests/batches/oproofs/s00002-r00007696-n000004.json
index 305330f8e4c2e33ef7a9f8be8c4aeeaba0e93a98..d5b917465ca06b5f305b996152f225ecc60f0953 100644
--- a/manifests/batches/oproofs/s00002-r00007696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007696-n000004",
   "batch_fingerprint": "7355ec840766dbd84e1b4d1d4f82fb2d4f85cf0d2be4b104eb3f6899aeee3f65",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007696-n000004-0000-77e1b4abf203f891.parquet",
-      "sha256": "77e1b4abf203f8916060140b1d9d95875c07acfa807b39d9804ddfbb76c25524",
-      "bytes": 800962,
-      "rows": 19,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007696-n000004-0001-f355c0fce9163187.parquet",
-      "sha256": "f355c0fce91631878b4495f5f2bd2cdd254e31001e1881b859e30890cae529de",
-      "bytes": 212089,
-      "rows": 9,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007697.lean\",\"f76ae623abf611bf3f625af8d1f3fd11293e75921566514a0fa740df2f20c53c\",0,\"lean_workbook_plus_25592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007698.lean\",\"f42f0d2ee56e0396c2ed9a990af882d5ee6292ac3aadc4534b6155dcfd3838eb\",0,\"lean_workbook_plus_44147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007699.lean\",\"e082f315be90401a5810ee515fe5407fd6c852ea7f1f4df2b3399b1c2aad5dfe\",0,\"lean_workbook_plus_29894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 800962,
+      "path": "data/train/p1e/oproofs-s00002-r00007696-n000004-0000-77e1b4abf203f891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "77e1b4abf203f8916060140b1d9d95875c07acfa807b39d9804ddfbb76c25524"
+    },
+    {
+      "bytes": 212089,
+      "path": "data/train/p1e/oproofs-s00002-r00007696-n000004-0001-f355c0fce9163187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f355c0fce91631878b4495f5f2bd2cdd254e31001e1881b859e30890cae529de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007700-n000004.json b/manifests/batches/oproofs/s00002-r00007700-n000004.json
index 5e5592c758285f477055ebb0e996599a9c212d27..22e92de4bda59eea76852f6c288239de246a9426 100644
--- a/manifests/batches/oproofs/s00002-r00007700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007700-n000004",
   "batch_fingerprint": "a6459bc0b85b2fc4ade7a64eca9c338d26520f31bb43d27faa08da34cf0dc6e8",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7700",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7701",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7702",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7703"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007700.lean\",\"e2e3c44a419e60b1fed335e0dbc3a7822c38bc332884781ce4bd0b8373ba56a5\",0,\"quadratic_roots_condition\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007701.lean\",\"d1ddf30f1ce88a8f75a6dd2264cb28d988a2c55ce43000e69893b12a36fe1f6c\",0,\"parallel_lines_max_distance\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007702.lean\",\"974291a96657628108934f6cfbce3458617b87a8315534a1416c2e47ef2472ea\",0,\"lean_workbook_plus_59748\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007703.lean\",\"96ec4acaab92dd0041bbb555909c0082aa1db0643d45616b80e3bee1a312e6f5\",0,\"lean_workbook_26209\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007700-n000004-0000-1bb19790a9ddadc4.parquet",
-      "sha256": "1bb19790a9ddadc47a2cee0b9c1033060f17e0fb2ccae09a61fe6ae4065b2b8b",
       "bytes": 103097,
+      "path": "data/train/p1a/oproofs-s00002-r00007700-n000004-0000-1bb19790a9ddadc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "1bb19790a9ddadc47a2cee0b9c1033060f17e0fb2ccae09a61fe6ae4065b2b8b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007700-n000004-0000-a8b4253aebd5b0e9.parquet",
-      "sha256": "a8b4253aebd5b0e92f4e2c2b32263989846901e692ecf572c0c231b4bb0d871d",
       "bytes": 100867,
+      "path": "data/dev/p1a/oproofs-s00002-r00007700-n000004-0000-a8b4253aebd5b0e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "a8b4253aebd5b0e92f4e2c2b32263989846901e692ecf572c0c231b4bb0d871d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007700-n000004-0000-54823a339fe50f29.parquet",
-      "sha256": "54823a339fe50f292a0ff7913288fd5da1291a255a1efaca26e774f0f223a554",
       "bytes": 357690,
+      "path": "data/internal_test/p1a/oproofs-s00002-r00007700-n000004-0000-54823a339fe50f29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "54823a339fe50f292a0ff7913288fd5da1291a255a1efaca26e774f0f223a554"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7700",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7701",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7702",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7703"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007700.lean\",\"e2e3c44a419e60b1fed335e0dbc3a7822c38bc332884781ce4bd0b8373ba56a5\",0,\"quadratic_roots_condition\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007701.lean\",\"d1ddf30f1ce88a8f75a6dd2264cb28d988a2c55ce43000e69893b12a36fe1f6c\",0,\"parallel_lines_max_distance\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007702.lean\",\"974291a96657628108934f6cfbce3458617b87a8315534a1416c2e47ef2472ea\",0,\"lean_workbook_plus_59748\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007703.lean\",\"96ec4acaab92dd0041bbb555909c0082aa1db0643d45616b80e3bee1a312e6f5\",0,\"lean_workbook_26209\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007704-n000004.json b/manifests/batches/oproofs/s00002-r00007704-n000004.json
index 727bfede70eb2041f874e16e16702c7b6db5a052..4d3c53779f5c545868fcc66e4407d18966892019 100644
--- a/manifests/batches/oproofs/s00002-r00007704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007704-n000004",
   "batch_fingerprint": "debd6b843bf90953a998590a353f2794c96e3ed194b77846b38b90e427862c3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007704-n000004-0000-58e8807e353a0e9e.parquet",
-      "sha256": "58e8807e353a0e9e9ceaa47f6b7d1712f5ba130d05dc4c52d2fd972538717aa6",
-      "bytes": 121712,
-      "rows": 9,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007704-n000004-0000-4c05048e36521157.parquet",
-      "sha256": "4c05048e365211575d8c76a536b37a38be9135a799d52868849cc33c48a0f4f3",
-      "bytes": 61600,
-      "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007705.lean\",\"750b84792b815af1c3de36c849545b14af65151c156c91a932eef016ebe36717\",0,\"lean_workbook_plus_11848\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007706.lean\",\"bc457f8a715a7df2b07e8a2229bbbb54c38c4b0b5d04fb2f93acda22f87de805\",0,\"lean_workbook_plus_18101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007707.lean\",\"3803033f109cc4a6cf247beedb5b4a2b77aa5b67d791ecbd841217a39071572c\",0,\"lean_workbook_plus_82675\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 121712,
+      "path": "data/train/pff/oproofs-s00002-r00007704-n000004-0000-58e8807e353a0e9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "58e8807e353a0e9e9ceaa47f6b7d1712f5ba130d05dc4c52d2fd972538717aa6"
+    },
+    {
+      "bytes": 61600,
+      "path": "data/internal_test/pff/oproofs-s00002-r00007704-n000004-0000-4c05048e36521157.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4c05048e365211575d8c76a536b37a38be9135a799d52868849cc33c48a0f4f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007708-n000004.json b/manifests/batches/oproofs/s00002-r00007708-n000004.json
index 0031fbf810de8fba3905dfd7c6d45c3d04a45815..cde5a46e8210e817030d3f91febf69e9d4d00a90 100644
--- a/manifests/batches/oproofs/s00002-r00007708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007708-n000004",
   "batch_fingerprint": "756c7619262b29164050be11d89d8758945536b06ef9e0547f5a7341812adb53",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007708-n000004-0000-26eaa0a87971ff01.parquet",
-      "sha256": "26eaa0a87971ff01b17f7616892102c456d3f295401bc5530604700868394a2b",
-      "bytes": 174088,
-      "rows": 18,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007709.lean\",\"ac38eae3245c9dcb7c705fb211b2394699139714f909195ef1edc7495fadbb61\",0,\"lean_workbook_plus_56550\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007710.lean\",\"2e8111e3c1a8895dac47b90efab8d634187b329307fdb74f5722e815beee736e\",0,\"lean_workbook_plus_60086\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007711.lean\",\"20b7b2469f38395d753a1f70b3bef4d74c7323056c67009bcd0835499db71d26\",0,\"lean_workbook_22813\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174088,
+      "path": "data/train/p46/oproofs-s00002-r00007708-n000004-0000-26eaa0a87971ff01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "26eaa0a87971ff01b17f7616892102c456d3f295401bc5530604700868394a2b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007712-n000004.json b/manifests/batches/oproofs/s00002-r00007712-n000004.json
index e60158bb5f2422f9f866564e02792a07dba85737..db774cc8e2e1f4517fc79f2f67bff19b86cfc2e8 100644
--- a/manifests/batches/oproofs/s00002-r00007712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007712-n000004",
   "batch_fingerprint": "dd65130ce5ac4bde681c06c4cec4411cba448bc28a8c6a2798c652d8ace5a3d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007712-n000004-0000-fc6ecd6dd05a2e73.parquet",
-      "sha256": "fc6ecd6dd05a2e739c9111f17cf8b6fe154976c32508208563f97aa30b7281fd",
-      "bytes": 138458,
-      "rows": 15,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007712-n000004-0000-e0063a675a75f864.parquet",
-      "sha256": "e0063a675a75f8642aee25b7efb17314c198316158450bdbda5fb7854890c9cc",
-      "bytes": 85895,
-      "rows": 4,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7713",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007713.lean\",\"8d067d0a230a91ee4afcdb3d11c0ad38d8a24a0f79b1b857059479f134189b36\",0,\"lean_workbook_plus_11479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007714.lean\",\"4b5cbf245507c40a7285ce48760602ad2e4b6e4c7a859d9c94486735a206c82a\",0,\"lean_workbook_plus_66404\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007715.lean\",\"11967dedf13ffee8cc51ae9216273e067237c7740a2cb286de0f93c1df35a2db\",0,\"lean_workbook_24937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138458,
+      "path": "data/train/p74/oproofs-s00002-r00007712-n000004-0000-fc6ecd6dd05a2e73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fc6ecd6dd05a2e739c9111f17cf8b6fe154976c32508208563f97aa30b7281fd"
+    },
+    {
+      "bytes": 85895,
+      "path": "data/internal_test/p74/oproofs-s00002-r00007712-n000004-0000-e0063a675a75f864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e0063a675a75f8642aee25b7efb17314c198316158450bdbda5fb7854890c9cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007716-n000004.json b/manifests/batches/oproofs/s00002-r00007716-n000004.json
index c98a2be6752243ed7a1cb19dc74ec83005707b5f..ab7d94393dda68c9975fd630e138cdc1761a905b 100644
--- a/manifests/batches/oproofs/s00002-r00007716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007716-n000004",
   "batch_fingerprint": "7583612c67f791cb1ac0b587ebc11a0bc8c895063b6256253bdf221584fdc758",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7716",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7717",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7718",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7719"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007716.lean\",\"67683e5ea55bde28aa37201c140c080366913004d03eaeeebff284336137cb83\",0,\"lean_workbook_29395\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007717.lean\",\"694d606ca8fca933796410bce76816ea0b6b67fea0f93ba4f642e72304a71863\",0,\"lean_workbook_51196\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007718.lean\",\"057b68784d89286aa70855e9e7573e21f294dd0fcd35069fdc02c04ae556410e\",0,\"lean_workbook_plus_24868\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007719.lean\",\"7ba123dea7d83264b48b934ab06ca68052ae337b80a972a47c2f4651da555d16\",0,\"lean_workbook_plus_77393\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007716-n000004-0000-a6635be0a7d35020.parquet",
-      "sha256": "a6635be0a7d35020a891d1297467ad89e0408ecc14c21fb0d88f52f56a5e6ea2",
       "bytes": 1183169,
+      "path": "data/train/pe8/oproofs-s00002-r00007716-n000004-0000-a6635be0a7d35020.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
+      "sha256": "a6635be0a7d35020a891d1297467ad89e0408ecc14c21fb0d88f52f56a5e6ea2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00007716-n000004-0001-edda1c469d267b55.parquet",
-      "sha256": "edda1c469d267b55ba64ab72091b862f19005ddf0ecf84df64d5d10d507ba480",
       "bytes": 288373,
+      "path": "data/train/pe8/oproofs-s00002-r00007716-n000004-0001-edda1c469d267b55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
+      "sha256": "edda1c469d267b55ba64ab72091b862f19005ddf0ecf84df64d5d10d507ba480"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007716-n000004-0000-724dc5015d38ad98.parquet",
-      "sha256": "724dc5015d38ad98b8e47c322d0071a1e8b217dc6607fdc2dfa3f0afa1462814",
       "bytes": 124962,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00007716-n000004-0000-724dc5015d38ad98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
+      "sha256": "724dc5015d38ad98b8e47c322d0071a1e8b217dc6607fdc2dfa3f0afa1462814"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7716",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7717",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7718",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7719"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007716.lean\",\"67683e5ea55bde28aa37201c140c080366913004d03eaeeebff284336137cb83\",0,\"lean_workbook_29395\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007717.lean\",\"694d606ca8fca933796410bce76816ea0b6b67fea0f93ba4f642e72304a71863\",0,\"lean_workbook_51196\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007718.lean\",\"057b68784d89286aa70855e9e7573e21f294dd0fcd35069fdc02c04ae556410e\",0,\"lean_workbook_plus_24868\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007719.lean\",\"7ba123dea7d83264b48b934ab06ca68052ae337b80a972a47c2f4651da555d16\",0,\"lean_workbook_plus_77393\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007720-n000004.json b/manifests/batches/oproofs/s00002-r00007720-n000004.json
index f933d8e6d4003e2484ca73455a090312c7f75b08..3cb2b7d6d28902ec7a1c4e3290173f3fedc4dc52 100644
--- a/manifests/batches/oproofs/s00002-r00007720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007720-n000004",
   "batch_fingerprint": "aea9165a44ad0c6e0b77a988391d2d72349bd4ce57b372c98b2b08e08a4569e0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007720-n000004-0000-be500d797b665839.parquet",
-      "sha256": "be500d797b6658395475eb599452227254e7299ce69936e872fa603fe0062db4",
-      "bytes": 597757,
-      "rows": 24,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007720-n000004-0000-c430b5e6b0a198a7.parquet",
-      "sha256": "c430b5e6b0a198a7c15f1e5337831bdc57a6558ccfd0c9cff1cba58486f86741",
-      "bytes": 35228,
-      "rows": 2,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007721.lean\",\"13dafad7b0f7969264352392206b4c8de6c38c5707d915339b05ec591e870aaf\",0,\"lean_workbook_plus_69910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007722.lean\",\"bc3a6240accae0c55d201db9f355c633eb733f585f40190fb0ab862d5f16dd41\",0,\"ratio_values\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007723.lean\",\"3dd533fe900d831309ec53c019b83fc463c8994b047df2102cea0452dde29bb5\",0,\"lean_workbook_11549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 597757,
+      "path": "data/train/p77/oproofs-s00002-r00007720-n000004-0000-be500d797b665839.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "be500d797b6658395475eb599452227254e7299ce69936e872fa603fe0062db4"
+    },
+    {
+      "bytes": 35228,
+      "path": "data/dev/p77/oproofs-s00002-r00007720-n000004-0000-c430b5e6b0a198a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c430b5e6b0a198a7c15f1e5337831bdc57a6558ccfd0c9cff1cba58486f86741"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007724-n000004.json b/manifests/batches/oproofs/s00002-r00007724-n000004.json
index a92bdb2cdcef4b5f775ac18732f74625170baffc..5f28105b48afe9b2ecd4060fb51df07038b087bf 100644
--- a/manifests/batches/oproofs/s00002-r00007724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007724-n000004",
   "batch_fingerprint": "1bb87cd0acebffa2e4faf0efd69fc072d5e0e4228a9c551f51dced5d1311a46c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007724-n000004-0000-a9547089a9f7331b.parquet",
-      "sha256": "a9547089a9f7331b9b18a080dca5525f2cc95ea4eb517a092acd6a3d3e82b9e3",
-      "bytes": 297231,
-      "rows": 15,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007724-n000004-0000-d0b471cb5f063a3e.parquet",
-      "sha256": "d0b471cb5f063a3ed8d052996e8b60fb89c45590e353cf854be5d260e654cd5a",
-      "bytes": 182700,
-      "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007725.lean\",\"cce8a8b2ec339284ccbe78a7dcffe2bc4cf7a94032ffc800d1c56235ad05f3c4\",0,\"lean_workbook_plus_28137\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007726.lean\",\"7912fd2ccfdd7879626a0a547cc7bb9a5217d78156265c6a079184e513031d61\",0,\"lean_workbook_39278\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007727.lean\",\"bba9a30115f5ca25644fec73b0087103eccb2bc2abd062941e6ffa4085f925f9\",0,\"lean_workbook_plus_29719\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297231,
+      "path": "data/train/p94/oproofs-s00002-r00007724-n000004-0000-a9547089a9f7331b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a9547089a9f7331b9b18a080dca5525f2cc95ea4eb517a092acd6a3d3e82b9e3"
+    },
+    {
+      "bytes": 182700,
+      "path": "data/internal_test/p94/oproofs-s00002-r00007724-n000004-0000-d0b471cb5f063a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d0b471cb5f063a3ed8d052996e8b60fb89c45590e353cf854be5d260e654cd5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007728-n000004.json b/manifests/batches/oproofs/s00002-r00007728-n000004.json
index e2b492143459143a4104e4a9100ca9912209540b..cd26c0b6855237d42cfffc18640ed21bc34f7605 100644
--- a/manifests/batches/oproofs/s00002-r00007728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007728-n000004",
   "batch_fingerprint": "80e600b9590f9f2f1c850a657d4f7daa2e33772077393d90f9395f48209882f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007728-n000004-0000-7362b9d6a0c811ed.parquet",
-      "sha256": "7362b9d6a0c811eda7fef1f0203f737258df7b1e4541612ff731987f5470ca70",
-      "bytes": 240334,
-      "rows": 17,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007729.lean\",\"909c3fdc4903cb28f30650006f4963a27727afa6b8fbf32b6057c04d723774ef\",0,\"lean_workbook_plus_40791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007730.lean\",\"a6db396db19c8583ff8484ef666a1c9b6b3a43d97aa01b853f01dd3e645cfb10\",0,\"lean_workbook_50892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007731.lean\",\"ec853a1284175f9d6bfabb452ee1bea94131948ad7c2551253c242926c7e89b4\",0,\"lean_workbook_plus_64837\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240334,
+      "path": "data/train/pd2/oproofs-s00002-r00007728-n000004-0000-7362b9d6a0c811ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7362b9d6a0c811eda7fef1f0203f737258df7b1e4541612ff731987f5470ca70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007732-n000004.json b/manifests/batches/oproofs/s00002-r00007732-n000004.json
index 17cd351d0d6425af3860231e0f565fd24a636cf6..d8ba841d3811229a12bacaee6c7aed0230a2f006 100644
--- a/manifests/batches/oproofs/s00002-r00007732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007732-n000004",
   "batch_fingerprint": "729253c9d68b3f405ce1439382573d2c2607889ea7eb210862cef714a2ac9ddb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007732-n000004-0000-80cb5cecab5c3dd2.parquet",
-      "sha256": "80cb5cecab5c3dd2c7b5006e02334aa75e01e81eff96f70f81469db6b35f8153",
-      "bytes": 814430,
-      "rows": 19,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007732-n000004-0001-8c8c37c0e8a1d72c.parquet",
-      "sha256": "8c8c37c0e8a1d72c47a6fb040e92e3d3065ee9d57c086c44d944e62874930116",
-      "bytes": 73151,
-      "rows": 3,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7733",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007733.lean\",\"b376aa9bbc9f991e3b14df84aa29d201eabe8c7edb4eefc7cf9549167da2668a\",0,\"lean_workbook_plus_3482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007734.lean\",\"70a2cfeebaa93e0f68ec3d76d243e0e9c916e4364d6f0ac795f623c90c0e755f\",0,\"lean_workbook_12170\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007735.lean\",\"bdca094b1ace8b7f5dccb5f05d660bdf47cc560107176f8b0c21bb4248adde7b\",0,\"lean_workbook_plus_47064\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 814430,
+      "path": "data/train/p5f/oproofs-s00002-r00007732-n000004-0000-80cb5cecab5c3dd2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "80cb5cecab5c3dd2c7b5006e02334aa75e01e81eff96f70f81469db6b35f8153"
+    },
+    {
+      "bytes": 73151,
+      "path": "data/train/p5f/oproofs-s00002-r00007732-n000004-0001-8c8c37c0e8a1d72c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8c8c37c0e8a1d72c47a6fb040e92e3d3065ee9d57c086c44d944e62874930116"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007736-n000004.json b/manifests/batches/oproofs/s00002-r00007736-n000004.json
index 120fc3f57cd1dfcb3751279d611465d475b55c59..c5768cfa0f822bfe54af0b9ef512a689367d3843 100644
--- a/manifests/batches/oproofs/s00002-r00007736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007736-n000004",
   "batch_fingerprint": "598fe39b4bfcb1afe0486cbec2aa1bf3c2a1be40b212f965f7901296b39faa58",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007736-n000004-0000-080bcbabf87b6dbf.parquet",
-      "sha256": "080bcbabf87b6dbf99c0552e8c2bb47b98891145faee6345f8ddc462edc1d62e",
-      "bytes": 398784,
-      "rows": 11,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007736-n000004-0000-74220d11c588b8f0.parquet",
-      "sha256": "74220d11c588b8f0d9bea84b2c7fe3cd2c0d9da7bee76ac3d299f5c5de456198",
-      "bytes": 85989,
-      "rows": 2,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007737.lean\",\"7b3c0178488adf463913deb777659c96204cc89af46d17ec360240ca203444d7\",0,\"lean_workbook_plus_72016\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007738.lean\",\"0f83d7e7fa1ec9b02417c39c491574eefe02b9ffba26e638b314e35da204204a\",0,\"lean_workbook_20068\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007739.lean\",\"dd0315565fdd3d66680ad83d8598222bceba8e8908ad27b30d72176e789ac76b\",0,\"lean_workbook_plus_34061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398784,
+      "path": "data/train/pa1/oproofs-s00002-r00007736-n000004-0000-080bcbabf87b6dbf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "080bcbabf87b6dbf99c0552e8c2bb47b98891145faee6345f8ddc462edc1d62e"
+    },
+    {
+      "bytes": 85989,
+      "path": "data/dev/pa1/oproofs-s00002-r00007736-n000004-0000-74220d11c588b8f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "74220d11c588b8f0d9bea84b2c7fe3cd2c0d9da7bee76ac3d299f5c5de456198"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007740-n000004.json b/manifests/batches/oproofs/s00002-r00007740-n000004.json
index 5461ddf77864c35e3af701ab92a0f8db79a10534..5290ca344fea5d5a9afad4966267b5c87d7028ef 100644
--- a/manifests/batches/oproofs/s00002-r00007740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007740-n000004",
   "batch_fingerprint": "b8fd1686e8901482c6143c648b966c509704a29633c415c3b11111791a361c1f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007740-n000004-0000-1224b9e2201c4517.parquet",
-      "sha256": "1224b9e2201c4517043f6a2bbdeefa363eb9fc8316941c6763709405ca3b3376",
-      "bytes": 151111,
-      "rows": 5,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007740-n000004-0000-8294e7b5e60fef78.parquet",
-      "sha256": "8294e7b5e60fef7809075fc93ba322546e9964d0d210d981959ae1c84732c5ad",
-      "bytes": 326295,
-      "rows": 10,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007741.lean\",\"77e1a072e43292f02e314fdf752ddd02cdf15dc75f6c47dd5e757fdcee7f1030\",0,\"lean_workbook_10328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007742.lean\",\"8fb89e3d90d6b085367a9950b47f55996c9d04da1bcf5732f8b6e93081f776c2\",0,\"lean_workbook_plus_80374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007743.lean\",\"417c6d9f7c7aee4ea82092b1d592e761ceb410a4ce45f20c6f80fba8aa2ce27c\",0,\"lean_workbook_plus_66411\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151111,
+      "path": "data/train/p14/oproofs-s00002-r00007740-n000004-0000-1224b9e2201c4517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1224b9e2201c4517043f6a2bbdeefa363eb9fc8316941c6763709405ca3b3376"
+    },
+    {
+      "bytes": 326295,
+      "path": "data/internal_test/p14/oproofs-s00002-r00007740-n000004-0000-8294e7b5e60fef78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8294e7b5e60fef7809075fc93ba322546e9964d0d210d981959ae1c84732c5ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007744-n000004.json b/manifests/batches/oproofs/s00002-r00007744-n000004.json
index 1d69005d530e3833f0b0a4d31ad48c54a0e54b2b..965cb6be5f3d71c6403aae9b476a9b5bc636202a 100644
--- a/manifests/batches/oproofs/s00002-r00007744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007744-n000004",
   "batch_fingerprint": "e0f8c97a7e1c45694c486e4df832249a21de6a0d8f1fcea3e6e92ae3a7b19f45",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007744-n000004-0000-25d2a047aecdca07.parquet",
-      "sha256": "25d2a047aecdca07752ade45321de8245a946648ce7436f985c58a279174c0c0",
-      "bytes": 132612,
-      "rows": 19,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7745",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007745.lean\",\"db489bbda638f6053b1187d0d0cf1de9d26583fec3d3c6bc632a4a1b2809af18\",0,\"lean_workbook_plus_28690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007746.lean\",\"69907d30efc29b5758045f5f5cb61c6f4b370086351315a7c50dea3891caa44c\",0,\"lean_workbook_plus_2849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007747.lean\",\"01ce47e65a31ee5ea79b76c0ba1e0b46684d89447033eeb7f688ba287bf80f4c\",0,\"lean_workbook_plus_32799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132612,
+      "path": "data/train/pea/oproofs-s00002-r00007744-n000004-0000-25d2a047aecdca07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "25d2a047aecdca07752ade45321de8245a946648ce7436f985c58a279174c0c0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007748-n000004.json b/manifests/batches/oproofs/s00002-r00007748-n000004.json
index a4116602dccb8bc0a39d7c9f46b633d8b73b341e..47389e59fa0cdc1a3039646727dd7f154f806ffa 100644
--- a/manifests/batches/oproofs/s00002-r00007748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007748-n000004",
   "batch_fingerprint": "7ac0e8e459331208cf20749032c55a8e0118080a7e8ca8a769f25ba1ca97790b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007748-n000004-0000-60e2bdd5cd51a7c1.parquet",
-      "sha256": "60e2bdd5cd51a7c133011b478b5790e7f4b8f28af462b7cdf55e8f40fc57cac9",
-      "bytes": 293066,
-      "rows": 15,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007748-n000004-0000-6783d8710ef95d3c.parquet",
-      "sha256": "6783d8710ef95d3cfb28ead5a5b0ebd241693798fc96ff44a827a8db81ec0770",
-      "bytes": 58396,
-      "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007749.lean\",\"0dea6ac5b10606376f6de29e5df4b0781e4386a49c8ed73ebde3f3503232f71e\",0,\"circle_tangent_bisection\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007750.lean\",\"fcb4dd349659ccf862c8371f69a976bd13d1303641785218354e7d804bba4ce6\",0,\"lean_workbook_plus_55555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007751.lean\",\"e9668bd67e8ce8bbb620b296fb3381460ec265317ceff521dc4066c17471de69\",0,\"lean_workbook_plus_38444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293066,
+      "path": "data/train/p6e/oproofs-s00002-r00007748-n000004-0000-60e2bdd5cd51a7c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "60e2bdd5cd51a7c133011b478b5790e7f4b8f28af462b7cdf55e8f40fc57cac9"
+    },
+    {
+      "bytes": 58396,
+      "path": "data/internal_test/p6e/oproofs-s00002-r00007748-n000004-0000-6783d8710ef95d3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6783d8710ef95d3cfb28ead5a5b0ebd241693798fc96ff44a827a8db81ec0770"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007752-n000004.json b/manifests/batches/oproofs/s00002-r00007752-n000004.json
index 64f0c49ae8cd8787f7860b42f9d4d59f7a16df05..297efbb012e393db362002c9563d627fc0d8b594 100644
--- a/manifests/batches/oproofs/s00002-r00007752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007752-n000004",
   "batch_fingerprint": "2261b024a0a3376f804c3da65455f57208fe4cd05688f79738e075c7ed81794c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007752-n000004-0000-e1b40b118c983d16.parquet",
-      "sha256": "e1b40b118c983d16ab15ae9e783cfb7942eee90a0dfe17f88e2325066663bac1",
-      "bytes": 242050,
-      "rows": 17,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7753",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007753.lean\",\"9ce10ff35d8c09f4378ecc27669581994f2577ec26724fe5679d2992e66aa850\",0,\"lean_workbook_plus_63591\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007754.lean\",\"e6c66d6fc31a51b6abff70b78f0f4e64d408d44b353bd218b0c7d2ce814e5e13\",0,\"lean_workbook_plus_49310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007755.lean\",\"9cecf2769ed46af7ad8b12045d5e80eb369fb22410d77a8aee4191d3493f383e\",0,\"lean_workbook_plus_7973\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242050,
+      "path": "data/train/p36/oproofs-s00002-r00007752-n000004-0000-e1b40b118c983d16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e1b40b118c983d16ab15ae9e783cfb7942eee90a0dfe17f88e2325066663bac1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007756-n000004.json b/manifests/batches/oproofs/s00002-r00007756-n000004.json
index dfbc33a567ee383daadb25034af2be9683571970..b231804b0328e37c7e75248431d479686c51bb2b 100644
--- a/manifests/batches/oproofs/s00002-r00007756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007756-n000004",
   "batch_fingerprint": "60710b89dcecd68e115f28d51a3165b13ed588e683cbaac5d548225f3f5638e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007756-n000004-0000-e30a48b5a808adc4.parquet",
-      "sha256": "e30a48b5a808adc48ed74633e1c44b8c78f2bb913442d196b99d881f6538be8a",
-      "bytes": 290344,
-      "rows": 21,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007757.lean\",\"e3b8950a898103c78da688c8eeda2f4d74f2f70bd2809359449b002d458a11a3\",0,\"lean_workbook_plus_34000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007758.lean\",\"dd557b21a81ba5b3c2ce7e5d2d3a6d72ed43d498fdebd81761d977de256e1fb3\",0,\"lean_workbook_plus_31458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007759.lean\",\"d5f3cb4dc81d1169e9223de5ca739ce777e47093a306e26cf9e93fc22aa3a8dd\",0,\"lean_workbook_plus_62403\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290344,
+      "path": "data/train/pd1/oproofs-s00002-r00007756-n000004-0000-e30a48b5a808adc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "e30a48b5a808adc48ed74633e1c44b8c78f2bb913442d196b99d881f6538be8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007760-n000004.json b/manifests/batches/oproofs/s00002-r00007760-n000004.json
index 008f2ffdf3e1ef3840d3912ca6b9881deec4020b..7b5cd4980e9ff8d4c8412aa3cc5060dd74b4aab9 100644
--- a/manifests/batches/oproofs/s00002-r00007760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007760-n000004",
   "batch_fingerprint": "c286a5fe5683e6f326d1644b55623c5992f061a79b5328b79ef8b9c5cdef4bbd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007760-n000004-0000-c1e2d7a3b8628956.parquet",
-      "sha256": "c1e2d7a3b86289561a685177fd08c04d0630cfb777379d92744172d8a12fc3d9",
-      "bytes": 278921,
-      "rows": 22,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007761.lean\",\"4e815c92e8a67fb541b17585324a3f8b7b032357be50c9d568e3f5a545679864\",0,\"lean_workbook_plus_11240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007762.lean\",\"734d9f30a1276e5a0a5b703c91453e85a2f05a9a2940adcc79154f3a7b62b3a7\",0,\"lean_workbook_29779\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007763.lean\",\"b12e4303d28bfbcae91da0d501318bf4240f2fc4f9e77e6233ce31ececfd4163\",0,\"lean_workbook_plus_74106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278921,
+      "path": "data/train/pfd/oproofs-s00002-r00007760-n000004-0000-c1e2d7a3b8628956.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c1e2d7a3b86289561a685177fd08c04d0630cfb777379d92744172d8a12fc3d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007764-n000004.json b/manifests/batches/oproofs/s00002-r00007764-n000004.json
index 7ec41e5ef952cbcdcac554a2f55b9872cbcc9284..8fb4546ca44a627d36ded71d4500412689472383 100644
--- a/manifests/batches/oproofs/s00002-r00007764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007764-n000004",
   "batch_fingerprint": "131de60b671e29dc9304f4075fff08796ca240701b65396b4b8621cc601feac5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007764-n000004-0000-08401595a81233cd.parquet",
-      "sha256": "08401595a81233cd8306f3352c7c5825ba630c24c42f1657ba2c3954201fcb0d",
-      "bytes": 790073,
-      "rows": 23,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007764-n000004-0001-f670a3959f5411b8.parquet",
-      "sha256": "f670a3959f5411b8fe10fe69ef7c301774f3bf3f62964b5e09fe5db722034fdd",
-      "bytes": 633965,
-      "rows": 2,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007765.lean\",\"66d588f1ac4894f9ed512c52d7e24f7ccddd26439344fc5df3bd6a9613e1ecab\",0,\"lean_workbook_plus_25592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007766.lean\",\"e9a149560e3c23001f0e3c0723b8981d1a75d2cfae651af7a121c92d7fbe192b\",0,\"lean_workbook_plus_26953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007767.lean\",\"d30e1a1a2ca0e238d219d2cc929c0116a510b4e20c7b7968c48315a297728cfb\",0,\"lean_workbook_plus_29387\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 790073,
+      "path": "data/train/p1c/oproofs-s00002-r00007764-n000004-0000-08401595a81233cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "08401595a81233cd8306f3352c7c5825ba630c24c42f1657ba2c3954201fcb0d"
+    },
+    {
+      "bytes": 633965,
+      "path": "data/train/p1c/oproofs-s00002-r00007764-n000004-0001-f670a3959f5411b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f670a3959f5411b8fe10fe69ef7c301774f3bf3f62964b5e09fe5db722034fdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007768-n000004.json b/manifests/batches/oproofs/s00002-r00007768-n000004.json
index f7c9103bc0f7c2d9ed214a0241bc2d39d664e698..21d9db6dce09d3165feed6be9f23c3d790769fed 100644
--- a/manifests/batches/oproofs/s00002-r00007768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007768-n000004",
   "batch_fingerprint": "81ac53bd293f9fb170a09d72bf71ad688e93b382ba53c1d932a1fe66c2ffc0c8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007768-n000004-0000-ba5ae9a6bcbe71dc.parquet",
-      "sha256": "ba5ae9a6bcbe71dc30b664fdf7bf9b2b42008d77eff703a95b05efe937f36d1a",
-      "bytes": 266654,
-      "rows": 18,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007769.lean\",\"b397757fdd6227d30ba3a20cbd1ae1dce19a2dc4f436eb76eae644f14df946e6\",0,\"lean_workbook_plus_29894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007770.lean\",\"f3f65bc71aac99873fe86c301d6dbc413d758af1b2b165e443820e91783fe87b\",0,\"lean_workbook_plus_44147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007771.lean\",\"b5e32f9314ad66d93ab9e75e4e3a0298b0461a6004e6b627d278c63f478493b8\",0,\"parallel_lines_max_distance\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266654,
+      "path": "data/train/pfd/oproofs-s00002-r00007768-n000004-0000-ba5ae9a6bcbe71dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ba5ae9a6bcbe71dc30b664fdf7bf9b2b42008d77eff703a95b05efe937f36d1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007772-n000004.json b/manifests/batches/oproofs/s00002-r00007772-n000004.json
index 53c62c50219a7dd9703c5ed76dfbf1f1b1e86f02..1d2fe469b306428c24fffff85da46315f7edd07e 100644
--- a/manifests/batches/oproofs/s00002-r00007772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007772-n000004",
   "batch_fingerprint": "1e3671b3c328d153f653eadeaf288b4bae45a87c3fd979f8d536788d29a66b22",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7772",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7773",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7774",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7775"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007772.lean\",\"9ffbad0ed82e0e8810cf6cec95120950b7fcef8cc2defeb32da5457c75344024\",0,\"lean_workbook_26209\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007773.lean\",\"297f46d24bf0b0664185fa2985708ff2b477b7cba0f0ebc6aa1aad4e53c16f57\",0,\"lean_workbook_plus_59748\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007774.lean\",\"2d2e3182cabb51afb7a9d23bd801db1fdf6e9c79b3e6d932d21ce1e521392d3a\",0,\"lean_workbook_plus_18101\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007775.lean\",\"9ff1a0e5efd946bd648fa7bf75521fa326509e7412a581184ed4f6d649f42f85\",0,\"quadratic_roots_condition\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007772-n000004-0000-1521570fa092aec0.parquet",
-      "sha256": "1521570fa092aec00ef229907e3a9b7a52e47386bb96dd7dfcc10145d1102d4b",
       "bytes": 106456,
+      "path": "data/train/pba/oproofs-s00002-r00007772-n000004-0000-1521570fa092aec0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "1521570fa092aec00ef229907e3a9b7a52e47386bb96dd7dfcc10145d1102d4b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007772-n000004-0000-b0e2d95cf9cf3bda.parquet",
-      "sha256": "b0e2d95cf9cf3bda605b04f8f3905a1d99b985a1e71b4bc9dd82614ce950131b",
       "bytes": 119093,
+      "path": "data/dev/pba/oproofs-s00002-r00007772-n000004-0000-b0e2d95cf9cf3bda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "b0e2d95cf9cf3bda605b04f8f3905a1d99b985a1e71b4bc9dd82614ce950131b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007772-n000004-0000-2dc7a42efda1c00d.parquet",
-      "sha256": "2dc7a42efda1c00de265187261e9b62b8e66cfc16e5c05436295cab2d7387e2a",
       "bytes": 464164,
+      "path": "data/internal_test/pba/oproofs-s00002-r00007772-n000004-0000-2dc7a42efda1c00d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
+      "sha256": "2dc7a42efda1c00de265187261e9b62b8e66cfc16e5c05436295cab2d7387e2a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7772",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7773",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7774",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7775"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007772.lean\",\"9ffbad0ed82e0e8810cf6cec95120950b7fcef8cc2defeb32da5457c75344024\",0,\"lean_workbook_26209\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007773.lean\",\"297f46d24bf0b0664185fa2985708ff2b477b7cba0f0ebc6aa1aad4e53c16f57\",0,\"lean_workbook_plus_59748\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007774.lean\",\"2d2e3182cabb51afb7a9d23bd801db1fdf6e9c79b3e6d932d21ce1e521392d3a\",0,\"lean_workbook_plus_18101\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007775.lean\",\"9ff1a0e5efd946bd648fa7bf75521fa326509e7412a581184ed4f6d649f42f85\",0,\"quadratic_roots_condition\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007776-n000004.json b/manifests/batches/oproofs/s00002-r00007776-n000004.json
index 11fbaeb522742d4e0064a6dad94db423b235c42f..f88e7872062041f147d14010e8ade189a282b9ef 100644
--- a/manifests/batches/oproofs/s00002-r00007776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007776-n000004",
   "batch_fingerprint": "d0c4cd0403031d3f62a2c2b810e36bcd596a8ace927ac8d7b21da65986c53276",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007776-n000004-0000-d084d7d5c2d7b9c9.parquet",
-      "sha256": "d084d7d5c2d7b9c9502e7ad38b255e713e1dcb7b3bdca25beae392d25de5a414",
-      "bytes": 96255,
-      "rows": 13,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007777.lean\",\"d4d50206ba3b90857f56b629570a161c53581ae40ad3bfd19fe8d7853031db6d\",0,\"lean_workbook_plus_54145\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007778.lean\",\"e7b57f87a7b73a92e9f4dcb80bebe2f632a295993f01ccbcabbeda193758ab5a\",0,\"lean_workbook_22813\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007779.lean\",\"629ebd3af8335aa111a2220f83af8a86e5b8ed954f7992b47746ca4165a4cbb0\",0,\"lean_workbook_plus_5413\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96255,
+      "path": "data/train/p4c/oproofs-s00002-r00007776-n000004-0000-d084d7d5c2d7b9c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d084d7d5c2d7b9c9502e7ad38b255e713e1dcb7b3bdca25beae392d25de5a414"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007780-n000004.json b/manifests/batches/oproofs/s00002-r00007780-n000004.json
index c58d49e545f9c7ff7647f3112c105641de2a05fc..ff173a8a2c19d78dee8e48d98023a951966c1cc6 100644
--- a/manifests/batches/oproofs/s00002-r00007780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007780-n000004",
   "batch_fingerprint": "109cfef630648b27e01388477ccd47946835898f71dca80bb0e98f2ddbb80641",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007780-n000004-0000-36bcfbb67a6a399f.parquet",
-      "sha256": "36bcfbb67a6a399f1120cf149223d16f22e12767c8fd143d6e10050938647c41",
-      "bytes": 209442,
-      "rows": 18,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007780-n000004-0000-598bd8623520f801.parquet",
-      "sha256": "598bd8623520f8012bcffb87abdc1e6be859ee90e62c0c388164a5fa62b29876",
-      "bytes": 71478,
-      "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7781",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007781.lean\",\"bd8a43a5d8a63095d10549fb0a97fc6fcd8b4180f2164ce92efd809445520d2f\",0,\"arcsin_range_for_cos_alpha\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007782.lean\",\"8590c678bc96ab24b40243b5338f72c004ca16aedb0998514b582f14f705a819\",0,\"lean_workbook_29395\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007783.lean\",\"2f15ae8ff2a9a4223c1c0f4bf115a66111e5f59ce584c191dfe37a7fa06963f9\",0,\"lean_workbook_24937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209442,
+      "path": "data/train/p7c/oproofs-s00002-r00007780-n000004-0000-36bcfbb67a6a399f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "36bcfbb67a6a399f1120cf149223d16f22e12767c8fd143d6e10050938647c41"
+    },
+    {
+      "bytes": 71478,
+      "path": "data/internal_test/p7c/oproofs-s00002-r00007780-n000004-0000-598bd8623520f801.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "598bd8623520f8012bcffb87abdc1e6be859ee90e62c0c388164a5fa62b29876"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007784-n000004.json b/manifests/batches/oproofs/s00002-r00007784-n000004.json
index 6ac9ecadd30a96a57a4b89c42e9bc24eb055b49d..8eb85661caec43f380a2543c250438b0b350dabf 100644
--- a/manifests/batches/oproofs/s00002-r00007784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007784-n000004",
   "batch_fingerprint": "41e3019fbf00cbc639b11e5de3e15961dc77ea1ebed93577dc06aeae09fc75a2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007784-n000004-0000-a8a6ca6cac0eeba5.parquet",
-      "sha256": "a8a6ca6cac0eeba57e1640ded82ede68cb6379f9db0a819566cf3812999bcf3c",
-      "bytes": 156565,
-      "rows": 13,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007784-n000004-0000-07fa013497b9f65a.parquet",
-      "sha256": "07fa013497b9f65a3f202fac2abce2fdcd814159dd26e6fd47a63775a47f908c",
-      "bytes": 46486,
-      "rows": 2,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7785",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007785.lean\",\"76748a479024762d77a663c5d268a155856dd44f5a7d3cc87eeae20a9cc85766\",0,\"lean_workbook_plus_79704\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007786.lean\",\"e4f2aa67a7cdbabfb7d3c7262620f16eb478022fa0c38433f5a8afb6103148c0\",0,\"lean_workbook_plus_69910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007787.lean\",\"5115c328bef014a67bd18749792a7ac8bc5823a03f977a9fc14e15d7f4043607\",0,\"lean_workbook_plus_48619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156565,
+      "path": "data/train/p21/oproofs-s00002-r00007784-n000004-0000-a8a6ca6cac0eeba5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a8a6ca6cac0eeba57e1640ded82ede68cb6379f9db0a819566cf3812999bcf3c"
+    },
+    {
+      "bytes": 46486,
+      "path": "data/dev/p21/oproofs-s00002-r00007784-n000004-0000-07fa013497b9f65a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "07fa013497b9f65a3f202fac2abce2fdcd814159dd26e6fd47a63775a47f908c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007788-n000004.json b/manifests/batches/oproofs/s00002-r00007788-n000004.json
index b76a46b1a292584445a6a69376eb66df7b106570..504415859febe3a9d2c18bebc2ca4c9631f23ecf 100644
--- a/manifests/batches/oproofs/s00002-r00007788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007788-n000004",
   "batch_fingerprint": "ef4cec7970a76c9a33482e57cff050b6c8d2827575e994ffd596447c0f485f27",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007788-n000004-0000-8b55a7602bbccc33.parquet",
-      "sha256": "8b55a7602bbccc33cd2abe75e3bdbe49911ba103472dc8ff337259f231d9947d",
-      "bytes": 606069,
-      "rows": 30,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007789.lean\",\"6cd92f5bf3bf20b6c252f8bb8bff29e6dc44062a0ba916f0cf85a6b24dc14959\",0,\"lean_workbook_plus_28137\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007790.lean\",\"5a09dede2ddb67b0653feb64137ac3ea9fc01d65cd749444ad699163f4021a6d\",0,\"ratio_values\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007791.lean\",\"411473b1651ebdad4f66b7b6d175bd912e9377553d830eea8ea8496917c4247f\",0,\"lean_workbook_plus_29719\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 606069,
+      "path": "data/train/pbd/oproofs-s00002-r00007788-n000004-0000-8b55a7602bbccc33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "8b55a7602bbccc33cd2abe75e3bdbe49911ba103472dc8ff337259f231d9947d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007792-n000004.json b/manifests/batches/oproofs/s00002-r00007792-n000004.json
index 8cc701da97954358989373ba6a6f3074bf997a51..f8918a425d1751b24062a12ae9951132c7d2d022 100644
--- a/manifests/batches/oproofs/s00002-r00007792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007792-n000004",
   "batch_fingerprint": "a13d676380c5297ccdec58146e04e41099bfc71c8b0b5eda72e30712977f8f3b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007792-n000004-0000-22f2d6446583cc92.parquet",
-      "sha256": "22f2d6446583cc92c46dba235cde3e0aaf52eb928a9fa3b8d1eb9ba252f80e9a",
-      "bytes": 143008,
-      "rows": 14,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007792-n000004-0000-918ffd535a0e8a2b.parquet",
-      "sha256": "918ffd535a0e8a2b37222d2d666d006655f91a31193a2863305d9de6e986844e",
-      "bytes": 297419,
-      "rows": 5,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7793",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007793.lean\",\"e8fc014b6130067b5d956374ef53339ccaee3b7dd2002d696af381ce3e2bddb2\",0,\"lean_workbook_plus_75679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007794.lean\",\"aad254e0a2e81cd0a9be62e653ea55de3c2498a4fda9f9e1464b72a6f261df73\",0,\"lean_workbook_plus_13924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007795.lean\",\"e320a7580285cf6f3ae12d89b8110bea552580677630f7949d4170bd55086d88\",0,\"lean_workbook_50892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143008,
+      "path": "data/train/p54/oproofs-s00002-r00007792-n000004-0000-22f2d6446583cc92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "22f2d6446583cc92c46dba235cde3e0aaf52eb928a9fa3b8d1eb9ba252f80e9a"
+    },
+    {
+      "bytes": 297419,
+      "path": "data/internal_test/p54/oproofs-s00002-r00007792-n000004-0000-918ffd535a0e8a2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "918ffd535a0e8a2b37222d2d666d006655f91a31193a2863305d9de6e986844e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007796-n000004.json b/manifests/batches/oproofs/s00002-r00007796-n000004.json
index 9532fb4a398dfe82e718ff7dc38f13ae842d2995..387f883a54d53e2ac25e99c0a32c303f73dfcd8f 100644
--- a/manifests/batches/oproofs/s00002-r00007796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007796-n000004",
   "batch_fingerprint": "1273eb3be09a680bbd9a3414a5071847c282b64e4261532f68f10bb82282e67e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007796-n000004-0000-1330840a62a65903.parquet",
-      "sha256": "1330840a62a659036571eb48af12ce0e41484ca26501c993e7912042dc2b76db",
-      "bytes": 174743,
-      "rows": 13,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007796-n000004-0000-88aa660d035a4f5d.parquet",
-      "sha256": "88aa660d035a4f5dd2e5774425423fd1d241b0813e8984e5f398b259ae814bed",
-      "bytes": 77787,
-      "rows": 3,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007797.lean\",\"1018a52dcb2ef56d489424cc27c318cca3488a8c8abdd4d84e37ca187eb54675\",0,\"lean_workbook_plus_47064\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007798.lean\",\"c2699ff2890687a7b1ddd10716a25d1fa10692ac54e9078203f20f9ed86b32d9\",0,\"lean_workbook_plus_3482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007799.lean\",\"05054fd570e84baea49c723cd5d72bd5a4dbc8e89b850697159765eaba65e432\",0,\"lean_workbook_plus_72016\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174743,
+      "path": "data/train/p6a/oproofs-s00002-r00007796-n000004-0000-1330840a62a65903.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1330840a62a659036571eb48af12ce0e41484ca26501c993e7912042dc2b76db"
+    },
+    {
+      "bytes": 77787,
+      "path": "data/dev/p6a/oproofs-s00002-r00007796-n000004-0000-88aa660d035a4f5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "88aa660d035a4f5dd2e5774425423fd1d241b0813e8984e5f398b259ae814bed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007800-n000004.json b/manifests/batches/oproofs/s00002-r00007800-n000004.json
index 5b1e33a32d468bac1f2c46ea91ae83c568d18b07..d0aee5272f91d16753f4beb9939152b80b866165 100644
--- a/manifests/batches/oproofs/s00002-r00007800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007800-n000004",
   "batch_fingerprint": "eebe5e1381be529b5c38d97d1d28b7e02f40af8d3aa020861f09f1485dd8b076",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007800-n000004-0000-5d6a0084a9838fa8.parquet",
-      "sha256": "5d6a0084a9838fa80b3b4e0d7fce0fcadec7aea4c31afed4184ac8054ccc4cf3",
-      "bytes": 291992,
-      "rows": 20,
-      "revision": "fdbb9e6acb8e9ec217598cb8b0683b0b3cde50d4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007801.lean\",\"f6c2d0f6cf5bbd556be945a47109465a17a3230a8670c3bdac65f3c1a0ef1e88\",0,\"lean_workbook_plus_34061\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007802.lean\",\"dc6bb497d521d02481f1de97df7f89b990e42cf4df829857ce8fdf4ac841500b\",0,\"lean_workbook_plus_65200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007803.lean\",\"f484d41430dcc293ff80ee5b578c702f458e604053c16a8f481b7802b875c0d5\",0,\"lean_workbook_37591\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291992,
+      "path": "data/train/p48/oproofs-s00002-r00007800-n000004-0000-5d6a0084a9838fa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5d6a0084a9838fa80b3b4e0d7fce0fcadec7aea4c31afed4184ac8054ccc4cf3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007804-n000004.json b/manifests/batches/oproofs/s00002-r00007804-n000004.json
index b861c0583eb3493ed06db53cd88049b844f807df..04bdd2e3c5a858e6b8683f529bb28fefe86f3dc2 100644
--- a/manifests/batches/oproofs/s00002-r00007804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007804-n000004",
   "batch_fingerprint": "37e05436e93f72794e5dad107d818832661c791da0ab574ff9e2299c84e6c3d4",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007804-n000004-0000-2845034b9c98b537.parquet",
-      "sha256": "2845034b9c98b5378ae28c1fb9e219ad90d7b09eb106cdfea0139e0df7d7797b",
-      "bytes": 78975,
-      "rows": 6,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007804-n000004-0000-eda25e46aa8d615a.parquet",
-      "sha256": "eda25e46aa8d615a675a4d7ca72ae6ab542d97c1a7cb4fe4d877c0225c290c39",
-      "bytes": 219842,
-      "rows": 7,
-      "revision": "f8e05584db74a6e03e64581308ff7b778b812d98"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7805",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7806",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007805.lean\",\"3f13934e7c92f9988858dd0ab0c7513ac915661a3913caf5e6293157a6cc840b\",0,\"lean_workbook_10328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007806.lean\",\"3210a700192526a393e98a9cd59b1f3c3fd564fe67b1c886bb1dd8ddde7a2503\",0,\"lean_workbook_plus_65065\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007807.lean\",\"7f421858dfe95644426fd0389804b6a0a08ddbd28da1ff6a2aa60ade92d82858\",0,\"lean_workbook_45254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78975,
+      "path": "data/train/pe0/oproofs-s00002-r00007804-n000004-0000-2845034b9c98b537.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2845034b9c98b5378ae28c1fb9e219ad90d7b09eb106cdfea0139e0df7d7797b"
+    },
+    {
+      "bytes": 219842,
+      "path": "data/internal_test/pe0/oproofs-s00002-r00007804-n000004-0000-eda25e46aa8d615a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "eda25e46aa8d615a675a4d7ca72ae6ab542d97c1a7cb4fe4d877c0225c290c39"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007808-n000004.json b/manifests/batches/oproofs/s00002-r00007808-n000004.json
index b0a3d63f775a8b80ec6ca123790f84a8ff6d3488..42884dc92bb13f1fd94b5ade46de664b4f9cb0be 100644
--- a/manifests/batches/oproofs/s00002-r00007808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007808-n000004",
   "batch_fingerprint": "b44d28dd689ba4c668bd665b069a3ca3b2c35ff547eb104658540b28a977c077",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007808-n000004-0000-bb38d0194e30c645.parquet",
-      "sha256": "bb38d0194e30c645f087ba83c28f9011258f6bced045027e696a4a55e82b57ec",
-      "bytes": 97059,
-      "rows": 16,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007808-n000004-0000-b836d639d4d67113.parquet",
-      "sha256": "b836d639d4d6711341ee7bd7278caec8c54fb6d130c07e760d929f2d2a2645fd",
-      "bytes": 115191,
-      "rows": 3,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007809.lean\",\"cfc88d0ca70e075508862edeed4b27d0d650e2ffbb9a0c0177968442338f2b16\",0,\"lean_workbook_plus_62384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007810.lean\",\"7e87e8b60b7f08b60f3ad5b6544bb49326e25758fdb7eff33b46caa422106cf6\",0,\"lean_workbook_plus_81521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007811.lean\",\"96969bbed46f8b1a6f0b9684c504f9812055d9206a26592d95d46a3c9392896e\",0,\"lean_workbook_1673\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97059,
+      "path": "data/train/pc9/oproofs-s00002-r00007808-n000004-0000-bb38d0194e30c645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bb38d0194e30c645f087ba83c28f9011258f6bced045027e696a4a55e82b57ec"
+    },
+    {
+      "bytes": 115191,
+      "path": "data/dev/pc9/oproofs-s00002-r00007808-n000004-0000-b836d639d4d67113.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b836d639d4d6711341ee7bd7278caec8c54fb6d130c07e760d929f2d2a2645fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007812-n000004.json b/manifests/batches/oproofs/s00002-r00007812-n000004.json
index 443d53d2544fc4ef067bd7fe75bfb7645ef30c08..76b049284b206826e0eff7646981d3ce64cdf055 100644
--- a/manifests/batches/oproofs/s00002-r00007812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007812-n000004",
   "batch_fingerprint": "49fe76c52dd7effd46bb2798d3255f40883c8ca3f182ee1198c71aae977eff8b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007812-n000004-0000-ee100233e65eb96b.parquet",
-      "sha256": "ee100233e65eb96bd51c2c0c79bfa86a01a0eade8a0d925c11ceaf0bc171e45b",
-      "bytes": 167045,
-      "rows": 8,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007812-n000004-0000-f9b9863f69ed4448.parquet",
-      "sha256": "f9b9863f69ed4448b8e09cbdcaabcb035830e8d76b823f1437e405adc90b954e",
-      "bytes": 43678,
-      "rows": 6,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007813.lean\",\"e8d8a712aca66888e467372574c3388f32373c6f5b86ba112e889ebf3135be30\",0,\"lean_workbook_plus_21166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007814.lean\",\"288153531a083757b5e26ade1b3e0f954971a4dbe5532ac8fb95a2c297185e56\",0,\"lean_workbook_54270\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007815.lean\",\"c4f17567b25b8badaf24234470f630d8db70fa65bb09a08aa3d80251548d0edc\",0,\"deck_flipping\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167045,
+      "path": "data/train/pfe/oproofs-s00002-r00007812-n000004-0000-ee100233e65eb96b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ee100233e65eb96bd51c2c0c79bfa86a01a0eade8a0d925c11ceaf0bc171e45b"
+    },
+    {
+      "bytes": 43678,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00007812-n000004-0000-f9b9863f69ed4448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f9b9863f69ed4448b8e09cbdcaabcb035830e8d76b823f1437e405adc90b954e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007816-n000004.json b/manifests/batches/oproofs/s00002-r00007816-n000004.json
index 9b759abdf4b478e29361f57cf054dc2c5b13b3b3..30cf74078c1d1d9d7e8ecea736656de29fdcb7a1 100644
--- a/manifests/batches/oproofs/s00002-r00007816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007816-n000004",
   "batch_fingerprint": "33f86f25a625e2215f9108c985cdee8e56390f87aa3f20920a66e426e07508a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007816-n000004-0000-b5eaa3861dac6356.parquet",
-      "sha256": "b5eaa3861dac6356eee1c3ac3324ea6fd44879ae58bc624db56902376cfc65a3",
-      "bytes": 274604,
-      "rows": 17,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007816-n000004-0000-5d70296a08c8f117.parquet",
-      "sha256": "5d70296a08c8f117c175dd1cdcc24489799e90d9f1d662fd5090c16c147c2245",
-      "bytes": 101667,
-      "rows": 4,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7817",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007817.lean\",\"1c55cc0e12ac7b9e78433d68c5621a52f7153f44c7d61194fd2756137d21175a\",0,\"lean_workbook_plus_14376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007818.lean\",\"627a6505b0c04ede49ba88521c457a20ca7cfb4ae09c0f676fea9e0f0ba55842\",0,\"lean_workbook_plus_72318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007819.lean\",\"e4cd0ce22ccb57d5bc5a943b8c67bb807996e93d3703252636bb04529f264c1b\",0,\"lean_workbook_plus_29470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274604,
+      "path": "data/train/pfe/oproofs-s00002-r00007816-n000004-0000-b5eaa3861dac6356.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b5eaa3861dac6356eee1c3ac3324ea6fd44879ae58bc624db56902376cfc65a3"
+    },
+    {
+      "bytes": 101667,
+      "path": "data/dev/pfe/oproofs-s00002-r00007816-n000004-0000-5d70296a08c8f117.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5d70296a08c8f117c175dd1cdcc24489799e90d9f1d662fd5090c16c147c2245"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007820-n000004.json b/manifests/batches/oproofs/s00002-r00007820-n000004.json
index 67675909af060829a400048c32282299de1bee28..a806006d31080bbf8c084c93039820200aa22aa3 100644
--- a/manifests/batches/oproofs/s00002-r00007820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007820-n000004",
   "batch_fingerprint": "7d7eef6432c6d054a6474e8df8c49b0a7fda47dcd5972cf6a7f61152eb0a3c36",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007820-n000004-0000-6c4a105efc732dd5.parquet",
-      "sha256": "6c4a105efc732dd536dca1b58c10474ef8927870f4be2c3aa607443598222825",
-      "bytes": 465056,
-      "rows": 14,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007820-n000004-0000-c59ef5acfeb7aaef.parquet",
-      "sha256": "c59ef5acfeb7aaef2e7b66499fe843b0970bfe122c07db20d5b79782168452bd",
-      "bytes": 94568,
-      "rows": 2,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7821",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007821.lean\",\"1b9bf4bd403a7d2c72dd00b86ef7de88ce58d50f58653b988e925b001ba2d03c\",0,\"lean_workbook_55402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007822.lean\",\"0c4e9d29792cd6a2f2c72ed9a4b7cc3df6485c8d116f42a349078d04abaf3023\",0,\"lean_workbook_plus_38250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007823.lean\",\"2d657bdcc856c4a07ba2fddde160bcc8887b4e134a41c448e740baf8c8789db6\",0,\"lean_workbook_34649\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465056,
+      "path": "data/train/pf0/oproofs-s00002-r00007820-n000004-0000-6c4a105efc732dd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6c4a105efc732dd536dca1b58c10474ef8927870f4be2c3aa607443598222825"
+    },
+    {
+      "bytes": 94568,
+      "path": "data/dev/pf0/oproofs-s00002-r00007820-n000004-0000-c59ef5acfeb7aaef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c59ef5acfeb7aaef2e7b66499fe843b0970bfe122c07db20d5b79782168452bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007824-n000004.json b/manifests/batches/oproofs/s00002-r00007824-n000004.json
index bc943342fb8229118bf328121cb29a1a290281ba..e7dfce67265042c723f2c04433462a1907c8eba0 100644
--- a/manifests/batches/oproofs/s00002-r00007824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007824-n000004",
   "batch_fingerprint": "2d78a985259bbc1bc80b622f7580cbf85a4b7e4a3b126b4c5a474ffb260f5183",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007824-n000004-0000-2b34c535308b770e.parquet",
-      "sha256": "2b34c535308b770ef7c919baab10efc704534da2bb3a85d1bc90c05b361f93e4",
-      "bytes": 142770,
-      "rows": 11,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7825",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007825.lean\",\"a6667331363558f285396f19864ab7e2fe457c735db31fb9ba91418f9e87db81\",0,\"lean_workbook_55254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007826.lean\",\"8d93f094a17a670adcd4794e64a663c25f4d4e9647dbaea3bab339bc4f3c0146\",0,\"lean_workbook_plus_31950\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007827.lean\",\"caba511308a8f5f646398b1d5aa606e3cc4f312cc254fec5616f23bae927b41e\",0,\"lean_workbook_plus_41946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142770,
+      "path": "data/train/p86/oproofs-s00002-r00007824-n000004-0000-2b34c535308b770e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2b34c535308b770ef7c919baab10efc704534da2bb3a85d1bc90c05b361f93e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007828-n000004.json b/manifests/batches/oproofs/s00002-r00007828-n000004.json
index 2ab49afa942e2e72e42bd93ab30333b7340068c9..41c09cc4f75d616612df87215d4d8697c204e19b 100644
--- a/manifests/batches/oproofs/s00002-r00007828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007828-n000004",
   "batch_fingerprint": "5727a58be118fb742dc65315bb5c9b1a0e092673d067379944f1562635d4aecc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007828-n000004-0000-31214c2132807429.parquet",
-      "sha256": "31214c2132807429a52ad363074601c15f7dd63ab6c61b06ac2163ed3682f5c5",
-      "bytes": 1335036,
-      "rows": 14,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7829",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007829.lean\",\"cb9aa43e01fb47ed73e66d7ae055e6d521d60aab45f7a1b44e8dc0dfae06d5bd\",0,\"lean_workbook_27406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007830.lean\",\"b1146593c69d86ac6b4b71f21827ad17cdd02dcf94a5a16c8538ad9c241f7354\",0,\"lean_workbook_32044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007831.lean\",\"7110eed2cb397a3399325242c0fe566450327f892c84d07632e383b35a6c8206\",0,\"perpendicular_to_two_sides_implies_perpendicular_to_third\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1335036,
+      "path": "data/train/p59/oproofs-s00002-r00007828-n000004-0000-31214c2132807429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "31214c2132807429a52ad363074601c15f7dd63ab6c61b06ac2163ed3682f5c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007832-n000004.json b/manifests/batches/oproofs/s00002-r00007832-n000004.json
index dd6604c85bb7d5f9546a01e2fc0193a372616d06..aaaaba9cff9c57bb7fc2ab63d762f71467c5421f 100644
--- a/manifests/batches/oproofs/s00002-r00007832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007832-n000004",
   "batch_fingerprint": "5081765c661d07f8fd91eb03c548256194968bc0b39f8355b7e9763dcb2ac119",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007832-n000004-0000-ec5eddef834e65cb.parquet",
-      "sha256": "ec5eddef834e65cbb44397c5ed6beaaf3744959e1b0ffed2605ed055bfadb43f",
-      "bytes": 269940,
-      "rows": 21,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007832-n000004-0000-0402e1b41a1ca46a.parquet",
-      "sha256": "0402e1b41a1ca46a929bc0e73a2834301923ada6c6e54437b165b934665a2d04",
-      "bytes": 69815,
-      "rows": 4,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7833",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007833.lean\",\"c784f3c17da9183297bec7e8a874684464e3d9503f4f7d025927dd1119f9ec10\",0,\"lean_workbook_plus_59328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007834.lean\",\"045ab40b281626eb62109f822302a8e7dadca09d14dff18b28d65f6c52da7fc5\",0,\"lean_workbook_plus_59845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007835.lean\",\"538c9261121b5e2253932a1721afda323d11343085c12688b4f1fbeb7e57e7cf\",0,\"lean_workbook_plus_37946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269940,
+      "path": "data/train/p3a/oproofs-s00002-r00007832-n000004-0000-ec5eddef834e65cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ec5eddef834e65cbb44397c5ed6beaaf3744959e1b0ffed2605ed055bfadb43f"
+    },
+    {
+      "bytes": 69815,
+      "path": "data/internal_test/p3a/oproofs-s00002-r00007832-n000004-0000-0402e1b41a1ca46a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0402e1b41a1ca46a929bc0e73a2834301923ada6c6e54437b165b934665a2d04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007836-n000004.json b/manifests/batches/oproofs/s00002-r00007836-n000004.json
index e128de6ed476bf3ca61ef3f08442ce67d76dd244..fff6f6464781deae2356fb441594f95725e3f027 100644
--- a/manifests/batches/oproofs/s00002-r00007836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007836-n000004",
   "batch_fingerprint": "a845180ac986d901192ba5490c7677e7a30a7871af90af2752790c963306757a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007836-n000004-0000-c84efcccde092d5a.parquet",
-      "sha256": "c84efcccde092d5afd03833ae2ebca13499e5ee8402cac57ec6a49ac46d16e3b",
-      "bytes": 156771,
-      "rows": 19,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007837.lean\",\"5243a66b5afb6c4b7b7c69ff701cab008ecb1baf14bf30351ec0c8c25740f541\",0,\"lean_workbook_plus_60870\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007838.lean\",\"14639d57db980be8c1ef5078931abe8fb8623feb8f133d59e115f170a9c944f6\",0,\"lean_workbook_24984\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007839.lean\",\"c53cfe56cb3e7e5bd62fd62a3168c9b15b926bf67fa6297d307cd0e01215f956\",0,\"lean_workbook_plus_77102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156771,
+      "path": "data/train/pad/oproofs-s00002-r00007836-n000004-0000-c84efcccde092d5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c84efcccde092d5afd03833ae2ebca13499e5ee8402cac57ec6a49ac46d16e3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007840-n000004.json b/manifests/batches/oproofs/s00002-r00007840-n000004.json
index 1398447ef9375baa7c4bf1c43c6f29ce00325ead..ffc78bb64879a7517f685cce18b22a23c11c8749 100644
--- a/manifests/batches/oproofs/s00002-r00007840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007840-n000004",
   "batch_fingerprint": "01ed3edb4f263d55a5de3ed3a5066e924fb605066deeed05492c1bc9eef5ec26",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7840",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7841",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7842",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7843"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007840.lean\",\"bdb9a7f866eaf9f38c5b9efb16a88e11575fb09b14b1fa6d6bf3a431f400ef2c\",0,\"lean_workbook_plus_55124\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007841.lean\",\"06c0c5c2079c821570016454b741583eb49d08f06f09d76f503a8a73263dba92\",0,\"lean_workbook_plus_10964\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007842.lean\",\"afd3460d12a977d9681f28edcd87d27c258092eaf5028a4adc69adcfd1788dff\",0,\"lean_workbook_20371\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007843.lean\",\"468621e2a3494d8a56705ef418eba9a5611e2867fa48a0cefaa9deccc2eb0c45\",0,\"lean_workbook_42999\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007840-n000004-0000-3352409acaab2f28.parquet",
-      "sha256": "3352409acaab2f283c7f1d74c6fb20567868871931358160480bd3d7fe1d0687",
       "bytes": 844782,
+      "path": "data/train/pf2/oproofs-s00002-r00007840-n000004-0000-3352409acaab2f28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
+      "sha256": "3352409acaab2f283c7f1d74c6fb20567868871931358160480bd3d7fe1d0687"
     },
     {
-      "path": "data/train/oproofs-s00002-r00007840-n000004-0001-51ce149d23aec8f9.parquet",
-      "sha256": "51ce149d23aec8f9ae948a91d55bb3a5d3824c6eb296a656a9655a5613b56830",
       "bytes": 683084,
+      "path": "data/train/pf2/oproofs-s00002-r00007840-n000004-0001-51ce149d23aec8f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
+      "sha256": "51ce149d23aec8f9ae948a91d55bb3a5d3824c6eb296a656a9655a5613b56830"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007840-n000004-0000-d98d16ba6e026f84.parquet",
-      "sha256": "d98d16ba6e026f8486464a556f9e711d72f2cf8663e200a4477e44a3ce83558a",
       "bytes": 52049,
+      "path": "data/dev/pf2/oproofs-s00002-r00007840-n000004-0000-d98d16ba6e026f84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
+      "sha256": "d98d16ba6e026f8486464a556f9e711d72f2cf8663e200a4477e44a3ce83558a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7840",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7841",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7842",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7843"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007840.lean\",\"bdb9a7f866eaf9f38c5b9efb16a88e11575fb09b14b1fa6d6bf3a431f400ef2c\",0,\"lean_workbook_plus_55124\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007841.lean\",\"06c0c5c2079c821570016454b741583eb49d08f06f09d76f503a8a73263dba92\",0,\"lean_workbook_plus_10964\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007842.lean\",\"afd3460d12a977d9681f28edcd87d27c258092eaf5028a4adc69adcfd1788dff\",0,\"lean_workbook_20371\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007843.lean\",\"468621e2a3494d8a56705ef418eba9a5611e2867fa48a0cefaa9deccc2eb0c45\",0,\"lean_workbook_42999\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007844-n000004.json b/manifests/batches/oproofs/s00002-r00007844-n000004.json
index 6ddfc5583babac0ee709a3b32512b3e4d25ba671..fd1ac4f3f9cb2e24241f68a483d917ed8a00e8ae 100644
--- a/manifests/batches/oproofs/s00002-r00007844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007844-n000004",
   "batch_fingerprint": "4bc76c79c5ab4933fd6221f3a89c8ea719901385e9ca4f7f70520328f6b14894",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007844-n000004-0000-4e7d7a3326c048f5.parquet",
-      "sha256": "4e7d7a3326c048f5853738e4bca19106a37fbc479c3a0e99fe67531bb04e2925",
-      "bytes": 264518,
-      "rows": 16,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007844-n000004-0000-411bc47d308425db.parquet",
-      "sha256": "411bc47d308425db5947f34d1e4617906404a605753898e180060941a50552ed",
-      "bytes": 77735,
-      "rows": 5,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007845.lean\",\"4a8aa6dfb48d18c2ee5b6b24b620e75a15eeb8a3139082c3b270674e6bf99ed3\",0,\"lean_workbook_53576\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007846.lean\",\"134ad7fcd2587d3ad736de6fb4c5d5e49113294aa5063641028e1c9239b668d1\",0,\"lean_workbook_plus_66791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007847.lean\",\"ab1d951e64509d7d79c2b83432879fdb6373e105d7141bdb8b7806fe886b0c02\",0,\"lean_workbook_plus_32816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264518,
+      "path": "data/train/p07/oproofs-s00002-r00007844-n000004-0000-4e7d7a3326c048f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "4e7d7a3326c048f5853738e4bca19106a37fbc479c3a0e99fe67531bb04e2925"
+    },
+    {
+      "bytes": 77735,
+      "path": "data/dev/p07/oproofs-s00002-r00007844-n000004-0000-411bc47d308425db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "411bc47d308425db5947f34d1e4617906404a605753898e180060941a50552ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007848-n000004.json b/manifests/batches/oproofs/s00002-r00007848-n000004.json
index 43e381f83cd1832e97c97038669f11fc8208f8f6..a6cd7fa073c0445173e5fa6904170fd01cdaf8b8 100644
--- a/manifests/batches/oproofs/s00002-r00007848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007848-n000004",
   "batch_fingerprint": "318b6731b7d2ace326eefb9171b297b0ca326d3f8bdfc932723e21000bfb89a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007848-n000004-0000-09888a75f934a888.parquet",
-      "sha256": "09888a75f934a888963d9f5130c7e37e044973a75f0c27463366a750ebfb0c48",
-      "bytes": 305410,
-      "rows": 9,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007848-n000004-0000-00ad28146afefc23.parquet",
-      "sha256": "00ad28146afefc23cd0feaa43e3c135a31de20b6e440ef777dc3e5238ea4d9c2",
-      "bytes": 33876,
-      "rows": 2,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007849.lean\",\"37b4390b725df176ee6eecbd6ba4ba9848c4256f87e4339296602dda11c4dd0c\",0,\"lean_workbook_plus_14106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007850.lean\",\"23930d57a3436007a69647fdc7baf2c871cb6db04f2460fa086a9c974c5aa960\",0,\"lean_workbook_plus_79088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007851.lean\",\"6899d699fedacd76e83eea689ad2f7a7aa116f79d9482ec3d7491aa5d6b10ee1\",0,\"lean_workbook_54746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305410,
+      "path": "data/train/pc3/oproofs-s00002-r00007848-n000004-0000-09888a75f934a888.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "09888a75f934a888963d9f5130c7e37e044973a75f0c27463366a750ebfb0c48"
+    },
+    {
+      "bytes": 33876,
+      "path": "data/internal_test/pc3/oproofs-s00002-r00007848-n000004-0000-00ad28146afefc23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "00ad28146afefc23cd0feaa43e3c135a31de20b6e440ef777dc3e5238ea4d9c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007852-n000004.json b/manifests/batches/oproofs/s00002-r00007852-n000004.json
index cbe7a0008b266c0eaeea4ab94aa75ecc41678e8f..c626e8d0e8855fb8bcfe132adef1aaad18d2d627 100644
--- a/manifests/batches/oproofs/s00002-r00007852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007852-n000004",
   "batch_fingerprint": "badcbafcebbf79d626fe3c080a1beca1a3390365d6dfa42435b917c4df29d546",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007852-n000004-0000-c84434edc5fd6057.parquet",
-      "sha256": "c84434edc5fd6057956e58b6f57a885d0c967fdef61fbc61cea6eab94b83641c",
-      "bytes": 69568,
-      "rows": 6,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007852-n000004-0000-b844875a857a568b.parquet",
-      "sha256": "b844875a857a568b5a4aa7e9a3841a776010285ff83b64de524236fc39f93212",
-      "bytes": 288064,
-      "rows": 5,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007853.lean\",\"0a65a40001a941f557d63b3a695dc313534fba74cc4d89161ad6fc29639ecd97\",0,\"lean_workbook_plus_70610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007854.lean\",\"6f4a6b60b6f18f25567836aedddc7d7362a1339e75a5061d84f3da4967158467\",0,\"lean_workbook_plus_12380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007855.lean\",\"fdfad247149106d41370f2db386cfe72e7d1c2c270e011497a6b3f6ed702ae3f\",0,\"lean_workbook_plus_13111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 69568,
+      "path": "data/train/p08/oproofs-s00002-r00007852-n000004-0000-c84434edc5fd6057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c84434edc5fd6057956e58b6f57a885d0c967fdef61fbc61cea6eab94b83641c"
+    },
+    {
+      "bytes": 288064,
+      "path": "data/internal_test/p08/oproofs-s00002-r00007852-n000004-0000-b844875a857a568b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b844875a857a568b5a4aa7e9a3841a776010285ff83b64de524236fc39f93212"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007856-n000004.json b/manifests/batches/oproofs/s00002-r00007856-n000004.json
index 8dcfd0aceba1b05bef23dd137dcb0f931531bbb1..71f962b2a6e004add22ecbc5f86c888c6878ce04 100644
--- a/manifests/batches/oproofs/s00002-r00007856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007856-n000004",
   "batch_fingerprint": "14acd3a859d0088772cf1bd8b60bae473a8e26e16bf57b264e77d02a1fd2b483",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007856-n000004-0000-94b15082c6fa6e07.parquet",
-      "sha256": "94b15082c6fa6e070147835fb10f62028060fd529f31e9d36dbad95296a9cfad",
-      "bytes": 241932,
-      "rows": 18,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007857.lean\",\"4b9449aef67311676b9d95d7f97f05675e8f7ce0643e29017395726868b95334\",0,\"lean_workbook_plus_18435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007858.lean\",\"4f6b883c762c53afb23ca98d2d64dbbca76bff2bad5b4e98a95e41026b627ebc\",0,\"lean_workbook_plus_29896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007859.lean\",\"897f6189c20041efeffd2721440938e527fe6b1f3b1b7f15069ac3cd3c559326\",0,\"lean_workbook_38380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241932,
+      "path": "data/train/pd4/oproofs-s00002-r00007856-n000004-0000-94b15082c6fa6e07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "94b15082c6fa6e070147835fb10f62028060fd529f31e9d36dbad95296a9cfad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007860-n000004.json b/manifests/batches/oproofs/s00002-r00007860-n000004.json
index 60e4f92961793762b8211e57bda2fb2eb132d13d..1a9321df20e38a2846a3eedd5a481d5ca4da7893 100644
--- a/manifests/batches/oproofs/s00002-r00007860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007860-n000004",
   "batch_fingerprint": "c5c14c73184133a4865c759013375e1f563b70ffca737d58cfe54c44e826204b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007860-n000004-0000-eedd68c8058945c7.parquet",
-      "sha256": "eedd68c8058945c7ed82e5b8adc57076d38aa9207a1163ee1fdacae4c9f8a829",
-      "bytes": 87692,
-      "rows": 10,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007860-n000004-0000-2901cb3b1d0f88c4.parquet",
-      "sha256": "2901cb3b1d0f88c467f17c316dd0eac22c7ac9b292ae3a8457862c8f102b571d",
-      "bytes": 36553,
-      "rows": 2,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007861.lean\",\"771fb9b3a999536398bcf081eef2d83e891fd523f063cdd0e9035fdfc6e4c761\",0,\"lean_workbook_24117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007862.lean\",\"31deb35ceb5d99991054ed1a985f7da74709697129e471049b139436c3616e3b\",0,\"lean_workbook_46655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007863.lean\",\"ae0eec1d03506bcac053f318ec74f1d110eebc2b646ba6266149a461a801d3de\",0,\"lean_workbook_plus_46834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87692,
+      "path": "data/train/p75/oproofs-s00002-r00007860-n000004-0000-eedd68c8058945c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "eedd68c8058945c7ed82e5b8adc57076d38aa9207a1163ee1fdacae4c9f8a829"
+    },
+    {
+      "bytes": 36553,
+      "path": "data/dev/p75/oproofs-s00002-r00007860-n000004-0000-2901cb3b1d0f88c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2901cb3b1d0f88c467f17c316dd0eac22c7ac9b292ae3a8457862c8f102b571d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007864-n000004.json b/manifests/batches/oproofs/s00002-r00007864-n000004.json
index 0bb31164d5fdf6550c737039db8e962fa191b838..c52190e115ce30fa42b3c571657775233e88e35c 100644
--- a/manifests/batches/oproofs/s00002-r00007864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007864-n000004",
   "batch_fingerprint": "818294ba27f894ff05be98e5999098613f559254eaa6f4adeb4f87faba1038b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007864-n000004-0000-b6c919b24b55ee75.parquet",
-      "sha256": "b6c919b24b55ee7549d0f593e9dbcacbfc4bd190a84e4b1905574d61a268ce22",
-      "bytes": 114931,
-      "rows": 11,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007864-n000004-0000-129390f5aa107119.parquet",
-      "sha256": "129390f5aa1071191f6a0124d6474fc107965a9995445bbb6c8a1dcbe7138246",
-      "bytes": 43881,
-      "rows": 3,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007865.lean\",\"2e83faca14cd8bd0051f13aed9e97bf5e52b6d38fa679577a352bfb6e8cf6dac\",0,\"lean_workbook_plus_78973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007866.lean\",\"0c42975a1f1cc45e451465c6f4e666b46f6c6f7ebefc24d5a0857d7de7df99d7\",0,\"lean_workbook_plus_38204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007867.lean\",\"d5e3e5fc730322e50a74e8c8f3e6e848c93967c52d48bedd5f821fd5fcab0260\",0,\"lean_workbook_plus_39801\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114931,
+      "path": "data/train/pc3/oproofs-s00002-r00007864-n000004-0000-b6c919b24b55ee75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b6c919b24b55ee7549d0f593e9dbcacbfc4bd190a84e4b1905574d61a268ce22"
+    },
+    {
+      "bytes": 43881,
+      "path": "data/dev/pc3/oproofs-s00002-r00007864-n000004-0000-129390f5aa107119.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "129390f5aa1071191f6a0124d6474fc107965a9995445bbb6c8a1dcbe7138246"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007868-n000004.json b/manifests/batches/oproofs/s00002-r00007868-n000004.json
index 66e376d3e89510833d0dedf7b5d26f1c02eff5db..62221f55e8a9f6bfc511a466d2c5c5e50d6742ec 100644
--- a/manifests/batches/oproofs/s00002-r00007868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007868-n000004",
   "batch_fingerprint": "ceae55b2d6bbaf9b9f10554aaf18daf6d196cee3f378d67569019bea40061047",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007868-n000004-0000-f3f311ed86f57ccb.parquet",
-      "sha256": "f3f311ed86f57ccb631bb2a849d30d2fa0c18e4f8990af229ecee1194320a381",
-      "bytes": 229994,
-      "rows": 19,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007869.lean\",\"c0a7e4e21abc755e4f055ab3670ceb07859c5c422464fd7ff3ee01bfacf56b0e\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007870.lean\",\"5b782a4581bfbc119a65fac3e1eeb89282eeb2c1e8d09db134799ad2d9a79312\",0,\"lean_workbook_plus_28931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007871.lean\",\"9bdc3f95a421001eaeca6acff569c94d59ffce917b3ba84ab0c8b9352f82d639\",0,\"lean_workbook_plus_17842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229994,
+      "path": "data/train/pbd/oproofs-s00002-r00007868-n000004-0000-f3f311ed86f57ccb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f3f311ed86f57ccb631bb2a849d30d2fa0c18e4f8990af229ecee1194320a381"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007872-n000004.json b/manifests/batches/oproofs/s00002-r00007872-n000004.json
index e1735c199bf18235223610af6a32a77484319efd..83b0ac1b9d37e7cf846730b1b63bb5e16b05a5e0 100644
--- a/manifests/batches/oproofs/s00002-r00007872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007872-n000004",
   "batch_fingerprint": "0a8bd2c69e4884a9f2374f88e5878c89aeead14e324dc81b540411cb7736667c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007872-n000004-0000-d78e2eb6ffa7968a.parquet",
-      "sha256": "d78e2eb6ffa7968ac07b42e0d490914275b9a717ac8256ee7673f674c074c8da",
-      "bytes": 343201,
-      "rows": 16,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007872-n000004-0000-f0c9d4897629b8a7.parquet",
-      "sha256": "f0c9d4897629b8a7cdf95c3483591939ecc54ca5d31f5c13e4073cb9ea929f11",
-      "bytes": 350016,
-      "rows": 3,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007873.lean\",\"60a33c010c7a411b2f67ed1bcd0f75ef6de3e7eeafa37fe6f920e14c9d48d767\",0,\"lean_workbook_plus_68378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007874.lean\",\"c6cbaba78752db86dbc53e05802f8d7fb6c6f594837f9fc4698459c4d9105358\",0,\"lean_workbook_plus_34121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007875.lean\",\"a1ad169668c9aa01331df25800f3a43156a07f3e67fade59f12580f8b25c5431\",0,\"lean_workbook_plus_76999\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343201,
+      "path": "data/train/p68/oproofs-s00002-r00007872-n000004-0000-d78e2eb6ffa7968a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d78e2eb6ffa7968ac07b42e0d490914275b9a717ac8256ee7673f674c074c8da"
+    },
+    {
+      "bytes": 350016,
+      "path": "data/internal_test/p68/oproofs-s00002-r00007872-n000004-0000-f0c9d4897629b8a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f0c9d4897629b8a7cdf95c3483591939ecc54ca5d31f5c13e4073cb9ea929f11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007876-n000004.json b/manifests/batches/oproofs/s00002-r00007876-n000004.json
index d009980d5cb07924b1ddc36088917da8b45a8ae5..da711ea8c3ea3799f1a963db584e0424d14970f6 100644
--- a/manifests/batches/oproofs/s00002-r00007876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007876-n000004",
   "batch_fingerprint": "775944639b29c4e6f6326e9b0d3df6448cc906dd40b8dfd3e50d4ab9e747dc16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007876-n000004-0000-9e7108a2abc3c3bf.parquet",
-      "sha256": "9e7108a2abc3c3bf685cbf4fadb715ee642666e4f1ecc275e335887cf6bf01f3",
-      "bytes": 182233,
-      "rows": 21,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007876-n000004-0000-73e6ee6b1302976f.parquet",
-      "sha256": "73e6ee6b1302976f9cc55d05f382e5713b3a9cbe8a13dbb98a96096aaa76bd61",
-      "bytes": 67202,
-      "rows": 4,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007877.lean\",\"e4906b1553443c8020e6f9c58328e0e06b287481f32dfc814bc4aca12b67d303\",0,\"lean_workbook_plus_17575\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007878.lean\",\"2afa88fafe769888d558e02b1e9478bc60c0f4828a0823c0912830002696f845\",0,\"lean_workbook_plus_16372\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007879.lean\",\"429576316e5a1fce9bd019a202cec407e764dc265b6fa1c5288adb9275d0e986\",0,\"lean_workbook_plus_65065\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182233,
+      "path": "data/train/p04/oproofs-s00002-r00007876-n000004-0000-9e7108a2abc3c3bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9e7108a2abc3c3bf685cbf4fadb715ee642666e4f1ecc275e335887cf6bf01f3"
+    },
+    {
+      "bytes": 67202,
+      "path": "data/internal_test/p04/oproofs-s00002-r00007876-n000004-0000-73e6ee6b1302976f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "73e6ee6b1302976f9cc55d05f382e5713b3a9cbe8a13dbb98a96096aaa76bd61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007880-n000004.json b/manifests/batches/oproofs/s00002-r00007880-n000004.json
index c2e8a4af36988e0576a2c37961872ccba0d21e38..1bf8336717141a4b2d9f996060096437370eebdd 100644
--- a/manifests/batches/oproofs/s00002-r00007880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007880-n000004",
   "batch_fingerprint": "8fa78c9af633391593a638c682b0a5446205b877f3cdb7008af6583b679c4156",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007880-n000004-0000-0a717b52f15fecfd.parquet",
-      "sha256": "0a717b52f15fecfd5f759d47c0bf4661a2c41aa8d7c08ce2fd34a1ac94c9dbef",
-      "bytes": 57845,
-      "rows": 9,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007880-n000004-0000-9b50066fdf955dbe.parquet",
-      "sha256": "9b50066fdf955dbeabfda529e54c2434b5350e1e4c8957ce7d7abc28ccc86f0d",
-      "bytes": 44952,
-      "rows": 7,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007881.lean\",\"1196d36640aa1e755344e50d4e82d6e5b34df130cf7893e92820b5f58a1fc84d\",0,\"lean_workbook_1673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007882.lean\",\"5ee52163236d2e27f8d023b74df18fc9e8d03ea169ffd20d094f8488295a6f6b\",0,\"lean_workbook_54270\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007883.lean\",\"6f23233b6b225d931d3826cab4f3c9b64338880dc2daf9d56021e55b75fb015a\",0,\"deck_flipping\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 57845,
+      "path": "data/train/pe1/oproofs-s00002-r00007880-n000004-0000-0a717b52f15fecfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0a717b52f15fecfd5f759d47c0bf4661a2c41aa8d7c08ce2fd34a1ac94c9dbef"
+    },
+    {
+      "bytes": 44952,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00007880-n000004-0000-9b50066fdf955dbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9b50066fdf955dbeabfda529e54c2434b5350e1e4c8957ce7d7abc28ccc86f0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007884-n000004.json b/manifests/batches/oproofs/s00002-r00007884-n000004.json
index e6a0402344512cfaed60b192facf43346fcfaf01..928303a7d8ad59702cff3c65d1fe2468e40dd21f 100644
--- a/manifests/batches/oproofs/s00002-r00007884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007884-n000004",
   "batch_fingerprint": "72b1e66cf2831fecf573127b29e4fdf1da47beefc5bddbd310600c55c17a41f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007884-n000004-0000-f201b7766f0f61ad.parquet",
-      "sha256": "f201b7766f0f61adc878000a6ca88dfc5e8e83bfb4987548b73cdb411e1411cc",
-      "bytes": 167658,
-      "rows": 18,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007885.lean\",\"db016b4ea2dcb6566b7bfe0bd12f6d0f3439bd6df6eff37e210234f5e797eb0e\",0,\"lean_workbook_plus_25254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007886.lean\",\"6efe5cef4f11dbc3d434822e8b79b731d96b8e4f6ffda464def6cb7ad76b6f24\",0,\"lean_workbook_plus_14376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007887.lean\",\"f06b36c52589f54bcc48a5ea5e5e770c7edb73995b39507fbc822872e1ce11d9\",0,\"lean_workbook_plus_72318\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167658,
+      "path": "data/train/pbb/oproofs-s00002-r00007884-n000004-0000-f201b7766f0f61ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f201b7766f0f61adc878000a6ca88dfc5e8e83bfb4987548b73cdb411e1411cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007888-n000004.json b/manifests/batches/oproofs/s00002-r00007888-n000004.json
index dcfe8b8bb8bebba1f3a3c3036c231d34528d85f6..d05d37337b53364ec3d8e176aee6fc8f8df862d9 100644
--- a/manifests/batches/oproofs/s00002-r00007888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007888-n000004",
   "batch_fingerprint": "4ff06e1b99ad54d78e265ffdd5fd6b387f0c8110f106c2bff05eed1c4c9431b1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007888-n000004-0000-81ff72019078ffa9.parquet",
-      "sha256": "81ff72019078ffa9f6a22edb8bb28da0208e5c389b170f3eb7febb5d502070bd",
-      "bytes": 245119,
-      "rows": 12,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007888-n000004-0000-5bf41aa3fcd75c09.parquet",
-      "sha256": "5bf41aa3fcd75c09df8b95a069bfa473cd901854251f18aeb202196f1b3cb538",
-      "bytes": 119927,
-      "rows": 5,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007889.lean\",\"fff6b3265638e2e3a8db4c6e0732c704a6fd90cd14ff5ec1a08ae790d4eb243c\",0,\"lean_workbook_plus_29470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007890.lean\",\"0269af5ced3dfacb4793d3f1de7d99abbf60b6de3147af7dc79135a904e7be92\",0,\"lean_workbook_27946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007891.lean\",\"46cb6e63cf70e4a47274b2f1047fc2b1dcf0ceb44f3db4934f9385edb55d792b\",0,\"lean_workbook_45254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245119,
+      "path": "data/train/pd8/oproofs-s00002-r00007888-n000004-0000-81ff72019078ffa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "81ff72019078ffa9f6a22edb8bb28da0208e5c389b170f3eb7febb5d502070bd"
+    },
+    {
+      "bytes": 119927,
+      "path": "data/dev/pd8/oproofs-s00002-r00007888-n000004-0000-5bf41aa3fcd75c09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5bf41aa3fcd75c09df8b95a069bfa473cd901854251f18aeb202196f1b3cb538"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007892-n000004.json b/manifests/batches/oproofs/s00002-r00007892-n000004.json
index 19737da7ad81557f57539f5f3dfe6269668b3e83..3e5bab0c31c7167ffe1c06445b83790a7b02c6c4 100644
--- a/manifests/batches/oproofs/s00002-r00007892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007892-n000004",
   "batch_fingerprint": "d45a1f2ce70ab7419365896b2d10602d9e0a61efbcdaf603adbcdbabab753a4e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007892-n000004-0000-e27de2f58c81d13d.parquet",
-      "sha256": "e27de2f58c81d13d2f138758bd4d850ac2a420515feef7c094e5a51ba243a3e5",
-      "bytes": 250834,
-      "rows": 15,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007892-n000004-0000-49dc9c87e8871f31.parquet",
-      "sha256": "49dc9c87e8871f315f08804792feaf04be56bf0baa633d892e573c62e83aea43",
-      "bytes": 106216,
-      "rows": 2,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007893.lean\",\"8633afb0d36e66ef96a8fd6c07af80603481ab05437d5489a6e3359b1b082bcb\",0,\"lean_workbook_55402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007894.lean\",\"1a199a20d62cd553cb31694bfeee1029be28cc34eda0e525f25339b6054c60fb\",0,\"lean_workbook_plus_41946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007895.lean\",\"5d25873b5d452608ab92210d23cb6fdff56524ba7552e0de4fbad378274a7365\",0,\"lean_workbook_plus_38250\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250834,
+      "path": "data/train/pda/oproofs-s00002-r00007892-n000004-0000-e27de2f58c81d13d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e27de2f58c81d13d2f138758bd4d850ac2a420515feef7c094e5a51ba243a3e5"
+    },
+    {
+      "bytes": 106216,
+      "path": "data/dev/pda/oproofs-s00002-r00007892-n000004-0000-49dc9c87e8871f31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "49dc9c87e8871f315f08804792feaf04be56bf0baa633d892e573c62e83aea43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007896-n000004.json b/manifests/batches/oproofs/s00002-r00007896-n000004.json
index 3d258905c12ac1c425e7e66a9f59afa9a4fc1830..9101e59263ab83d823951a5087ac8ecf0902f67d 100644
--- a/manifests/batches/oproofs/s00002-r00007896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007896-n000004",
   "batch_fingerprint": "e52e3e251d9abce9a05e73ef9cd9400da6295bc1f86fa14f2fe1fe75b5488a15",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007896-n000004-0000-e36629fabc2f31b6.parquet",
-      "sha256": "e36629fabc2f31b6ad6081af6749d7141b624f0d20295e83158d4443c1ada3af",
-      "bytes": 270420,
-      "rows": 16,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007897.lean\",\"ffbe2928a089e35fcd551b50de798f86f383c64fa8f20c19f495da4705697992\",0,\"basketball_scores_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007898.lean\",\"03b40c86eb757857763e0f2d155fb16ad53c47ce4cb2d29fc808b50cbbe14018\",0,\"lean_workbook_plus_67719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007899.lean\",\"c664b33a11f3fbb3ee5885f006e80037de95d38f24f7cc3cea61f70329fde7c7\",0,\"lean_workbook_plus_30710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270420,
+      "path": "data/train/pc3/oproofs-s00002-r00007896-n000004-0000-e36629fabc2f31b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e36629fabc2f31b6ad6081af6749d7141b624f0d20295e83158d4443c1ada3af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007900-n000004.json b/manifests/batches/oproofs/s00002-r00007900-n000004.json
index 8833543e1efb3ca2a11e55329ea3fcb9c86dc835..8a38224157bac7364b3ac10692568e388e4e7e67 100644
--- a/manifests/batches/oproofs/s00002-r00007900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007900-n000004",
   "batch_fingerprint": "d3a5f071a50cabe2e77e4dabe0a89fa7bb093a518e6726e96228fee520c8470f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007900-n000004-0000-781b95af2993a7e0.parquet",
-      "sha256": "781b95af2993a7e04a775b25b5bc5a7f0b9b44f1e305f2e65e80579af0fbb413",
-      "bytes": 225553,
-      "rows": 18,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007900-n000004-0000-1e2cc24868a81229.parquet",
-      "sha256": "1e2cc24868a8122918da50c547d788d410bb2b64258c898b81761251760cfddf",
-      "bytes": 74549,
-      "rows": 4,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007901.lean\",\"4c1fcff2230bdebba5154063870baac6d421292272b42a2f2201bbbc575a2ce0\",0,\"lean_workbook_32044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007902.lean\",\"9176efc24b301de5fd0ef7417d1d2d9ccb2feed5947fd931795b17b28bed3f77\",0,\"lean_workbook_plus_19857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007903.lean\",\"69d27d625e75480dabc1e21086cdd3eec88109329072113de68db425badf44d7\",0,\"lean_workbook_plus_59328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225553,
+      "path": "data/train/p8b/oproofs-s00002-r00007900-n000004-0000-781b95af2993a7e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "781b95af2993a7e04a775b25b5bc5a7f0b9b44f1e305f2e65e80579af0fbb413"
+    },
+    {
+      "bytes": 74549,
+      "path": "data/internal_test/p8b/oproofs-s00002-r00007900-n000004-0000-1e2cc24868a81229.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1e2cc24868a8122918da50c547d788d410bb2b64258c898b81761251760cfddf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007904-n000004.json b/manifests/batches/oproofs/s00002-r00007904-n000004.json
index d90cfebd2e72631e61a238896bb409f61ff7c306..ae66e182899025e4d1f863a1af549db738561c78 100644
--- a/manifests/batches/oproofs/s00002-r00007904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007904-n000004",
   "batch_fingerprint": "855886699dd1e35b796d245c018ce251630267f9bb511fd81240566d63948e85",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007904-n000004-0000-1807c8af23b4c3a4.parquet",
-      "sha256": "1807c8af23b4c3a4f16f5dcee9c484aeeac8331d28bbae8c680ba167245ec67e",
-      "bytes": 462819,
-      "rows": 18,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007905.lean\",\"51c1482591c58435ea55c28117d25ecd7afc1e676ce3fe48b172c3e46dd77add\",0,\"lean_workbook_plus_59845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007906.lean\",\"2c6139a0b24e4efc6f0de74907a62b21d1b2d61cb09b1c1be77fdf8e214e9155\",0,\"lean_workbook_27406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007907.lean\",\"96c3affd4c1878a2db1c750906cf177623548d932d4fa75e21810abc68645cdc\",0,\"lean_workbook_56385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 462819,
+      "path": "data/train/ped/oproofs-s00002-r00007904-n000004-0000-1807c8af23b4c3a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1807c8af23b4c3a4f16f5dcee9c484aeeac8331d28bbae8c680ba167245ec67e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007908-n000004.json b/manifests/batches/oproofs/s00002-r00007908-n000004.json
index 40dde6af3b77881f255c037229503137a687d6bd..2f6cf7f32aa6b7e06f16733c6c7c67e377237cd7 100644
--- a/manifests/batches/oproofs/s00002-r00007908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007908-n000004",
   "batch_fingerprint": "12bd1723b5605eaf284843e921ce8373dbbabc86f2b97d7ce771dd4f893ebea1",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7908",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7909",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7910",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7911"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007908.lean\",\"fc8324c8f793387bde59ae6993c5c1f392dc6e013ae57952386081a83e5b13f3\",0,\"lean_workbook_plus_55124\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007909.lean\",\"586501e2527da7fba1b89aeb17b68fdd011dbac61660cf1bf49bb4e26727b0ba\",0,\"lean_workbook_plus_77102\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007910.lean\",\"2f4435e83f82035c2cb3912b6813e7c2588bcca0cf90faa88a3dcfbd924cdbae\",0,\"lean_workbook_plus_10964\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007911.lean\",\"0d9cf328abd76b5335ed42a869844fd6df227a8e96a7a3939c2708877dec01ef\",0,\"lean_workbook_plus_26263\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007908-n000004-0000-2591c2e8bb1b23ce.parquet",
-      "sha256": "2591c2e8bb1b23ce6d8755c69f3010c641d2c221221f2cc5a9ec45c0e783cf8b",
       "bytes": 213385,
+      "path": "data/train/pff/oproofs-s00002-r00007908-n000004-0000-2591c2e8bb1b23ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
+      "sha256": "2591c2e8bb1b23ce6d8755c69f3010c641d2c221221f2cc5a9ec45c0e783cf8b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007908-n000004-0000-cc64b186d281df58.parquet",
-      "sha256": "cc64b186d281df58af94c43e739ad9f42f7bc08feecd9fa858d5164933c5fb6e",
       "bytes": 49718,
+      "path": "data/dev/pff/oproofs-s00002-r00007908-n000004-0000-cc64b186d281df58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
+      "sha256": "cc64b186d281df58af94c43e739ad9f42f7bc08feecd9fa858d5164933c5fb6e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00007908-n000004-0000-152e1b94105a4c00.parquet",
-      "sha256": "152e1b94105a4c00a64df949857bdfb29ba3136907b7af99e924d17bb9e87609",
       "bytes": 648346,
+      "path": "data/internal_test/pff/oproofs-s00002-r00007908-n000004-0000-152e1b94105a4c00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
+      "sha256": "152e1b94105a4c00a64df949857bdfb29ba3136907b7af99e924d17bb9e87609"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7908",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7909",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7910",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7911"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007908.lean\",\"fc8324c8f793387bde59ae6993c5c1f392dc6e013ae57952386081a83e5b13f3\",0,\"lean_workbook_plus_55124\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007909.lean\",\"586501e2527da7fba1b89aeb17b68fdd011dbac61660cf1bf49bb4e26727b0ba\",0,\"lean_workbook_plus_77102\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007910.lean\",\"2f4435e83f82035c2cb3912b6813e7c2588bcca0cf90faa88a3dcfbd924cdbae\",0,\"lean_workbook_plus_10964\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007911.lean\",\"0d9cf328abd76b5335ed42a869844fd6df227a8e96a7a3939c2708877dec01ef\",0,\"lean_workbook_plus_26263\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007912-n000004.json b/manifests/batches/oproofs/s00002-r00007912-n000004.json
index f3eccf9a94d55a08eff6b0f18d8f01b60268a07c..76ccae6e492b8e2f924624d4616288a7d747d580 100644
--- a/manifests/batches/oproofs/s00002-r00007912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007912-n000004",
   "batch_fingerprint": "5bbaaedc751ab66ba739b33fb165a4c005e03d833b7c4fae1b635679bbeb8e80",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007912-n000004-0000-fc2e7f50c5a37067.parquet",
-      "sha256": "fc2e7f50c5a3706706d7dcf4076a154cb7cf15f157e979dcd57fae14e74afdd3",
-      "bytes": 104468,
-      "rows": 10,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007912-n000004-0000-2860816ca87a2372.parquet",
-      "sha256": "2860816ca87a2372a6b59a4436171f1678763f7a4b69bbe3a104d72709a2153e",
-      "bytes": 103278,
-      "rows": 7,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007913.lean\",\"1cd85433bd36361d5056ce32184cc81b822174045b02c52d0c20e012485c1f1d\",0,\"lean_workbook_53576\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007914.lean\",\"1f69b7910197301c2682ffdcf201fafb0c41d3a0e752c0e94deb1f745a398809\",0,\"lean_workbook_plus_66791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007915.lean\",\"cfb4e1d8b9e8cff0931e2e6d891e533177f825776347dafdef9870b10a67411c\",0,\"lean_workbook_plus_32816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104468,
+      "path": "data/train/p5f/oproofs-s00002-r00007912-n000004-0000-fc2e7f50c5a37067.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fc2e7f50c5a3706706d7dcf4076a154cb7cf15f157e979dcd57fae14e74afdd3"
+    },
+    {
+      "bytes": 103278,
+      "path": "data/dev/p5f/oproofs-s00002-r00007912-n000004-0000-2860816ca87a2372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "2860816ca87a2372a6b59a4436171f1678763f7a4b69bbe3a104d72709a2153e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007916-n000004.json b/manifests/batches/oproofs/s00002-r00007916-n000004.json
index f7fa7f94e5af9352efc11fc9c5159b75b11f27a3..eb07dac284e0657ede3d911cd611f60c0b09c89d 100644
--- a/manifests/batches/oproofs/s00002-r00007916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007916-n000004",
   "batch_fingerprint": "cb4128c8f7b121c7cf8b9f9a9a2dc124dab8d6ac591cb4894111dd4d7a7c6f8d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007916-n000004-0000-2534fe85e6667353.parquet",
-      "sha256": "2534fe85e666735399d91b1ff037ca0f827d48b99e2e1b669cec41f827078091",
-      "bytes": 265155,
-      "rows": 11,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007916-n000004-0000-e772b0b463ca489b.parquet",
-      "sha256": "e772b0b463ca489b84cfecda68ff7bb94f5f18be5fbb58ad675a020f83c0a247",
-      "bytes": 50915,
-      "rows": 3,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007917.lean\",\"a4184085e2e46fe0987231cbd3aee4866b33af551c568276704cb2b1522e2894\",0,\"lean_workbook_plus_33973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007918.lean\",\"34bceabd3324262e87c685ed057052b9e5b410750876d1afa69cc375b84a3988\",0,\"lean_workbook_plus_79088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007919.lean\",\"d9e8b6cab71e92cf90ed34a253c7c418999d10801495fd82cf4e38101c53956b\",0,\"lean_workbook_54746\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265155,
+      "path": "data/train/p55/oproofs-s00002-r00007916-n000004-0000-2534fe85e6667353.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2534fe85e666735399d91b1ff037ca0f827d48b99e2e1b669cec41f827078091"
+    },
+    {
+      "bytes": 50915,
+      "path": "data/internal_test/p55/oproofs-s00002-r00007916-n000004-0000-e772b0b463ca489b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e772b0b463ca489b84cfecda68ff7bb94f5f18be5fbb58ad675a020f83c0a247"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007920-n000004.json b/manifests/batches/oproofs/s00002-r00007920-n000004.json
index cbe86209cdf30e346c4cf310dfa5441ef198c0a7..3d39a9475b07827e00612ffdf0fdfdc3af9fff8c 100644
--- a/manifests/batches/oproofs/s00002-r00007920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007920-n000004",
   "batch_fingerprint": "64f91926c7b490d150b136681d61daa661f1e9d85e98bf791472c6e2de1beac2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007920-n000004-0000-a7d9dd19b94192de.parquet",
-      "sha256": "a7d9dd19b94192de9999bd3b8ff43cba29743f6236d320a6382a89f335b80d07",
-      "bytes": 78002,
-      "rows": 7,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007920-n000004-0000-3667953638da1fd3.parquet",
-      "sha256": "3667953638da1fd3e1fc9f8d3239ee2510bca29fcf311f183031394a03ba3459",
-      "bytes": 397656,
-      "rows": 7,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007921.lean\",\"2ce39e2f25728fb1f4fe6d3949a5039a67b57a1cf87e6a6857db13c5bba952d6\",0,\"lean_workbook_plus_12380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007922.lean\",\"bf3aedd89a73394045bf5740ee306a25a9eeb2c74a6e8deb5aa7be39596e7134\",0,\"lean_workbook_plus_13111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007923.lean\",\"5dc72154bf0f0dd51e6524c2bc0ccce34036258b4e9e3b22cc253f5e38d4bec6\",0,\"lean_workbook_plus_36676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78002,
+      "path": "data/train/p32/oproofs-s00002-r00007920-n000004-0000-a7d9dd19b94192de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a7d9dd19b94192de9999bd3b8ff43cba29743f6236d320a6382a89f335b80d07"
+    },
+    {
+      "bytes": 397656,
+      "path": "data/internal_test/p32/oproofs-s00002-r00007920-n000004-0000-3667953638da1fd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3667953638da1fd3e1fc9f8d3239ee2510bca29fcf311f183031394a03ba3459"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007924-n000004.json b/manifests/batches/oproofs/s00002-r00007924-n000004.json
index fb9092b30c720a7d89b527f59f3d47906282cc6a..8df12acf70c623b37496d86235ce774052546a43 100644
--- a/manifests/batches/oproofs/s00002-r00007924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007924-n000004",
   "batch_fingerprint": "9ec25a006c9c293a5c0972d2f49f48eb7b713e9c67408db27eed2ef94c39b3be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007924-n000004-0000-b2be8248188dbdca.parquet",
-      "sha256": "b2be8248188dbdca26c2a027d2044a5c6f65c2fe8314512646edbedf4cddfba4",
-      "bytes": 162570,
-      "rows": 13,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007925.lean\",\"627bddd429d04fb62dc927d97ac7d4b72f6fae9c74d1a8de5de4b5c28533b0a0\",0,\"lean_workbook_plus_29896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007926.lean\",\"be6d93e39a999a04609fea3a6458458c3e47928d724a815de05be44806122fe3\",0,\"lean_workbook_38380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007927.lean\",\"5a6d2170d2786be97e432dd11e1758853c2915d5a0881f0f32995c5c2c400f31\",0,\"compound_carbon_atoms\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162570,
+      "path": "data/train/pec/oproofs-s00002-r00007924-n000004-0000-b2be8248188dbdca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b2be8248188dbdca26c2a027d2044a5c6f65c2fe8314512646edbedf4cddfba4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007928-n000004.json b/manifests/batches/oproofs/s00002-r00007928-n000004.json
index 9abd7bd15db349f97efd401b4305adf7ff6bdf45..58d749915ed03d14715cd7c83967a4c41b517400 100644
--- a/manifests/batches/oproofs/s00002-r00007928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007928-n000004",
   "batch_fingerprint": "10e28c8339b48d27e19874a227e7300ccffcbd5f2541bcc08b4462ea89268c61",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007928-n000004-0000-00c32120ceb30274.parquet",
-      "sha256": "00c32120ceb3027438549cf051b5e62ff7ad37a38d8497a0cc302080c8aad6ba",
-      "bytes": 102244,
-      "rows": 14,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007928-n000004-0000-2940028e80f83f94.parquet",
-      "sha256": "2940028e80f83f94086402ddd61ce6b199b0425c6c2ac8471980fdfe8c2f6b41",
-      "bytes": 35351,
-      "rows": 2,
-      "revision": "a79623bb37a16dec759b6b6df8095e24c7fb7c41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7929",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007929.lean\",\"f3866a1d6819f5f514c0dc21770531c9bb8a504cfd98abc28ab85fd0e25111a3\",0,\"lean_workbook_46655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007930.lean\",\"77fb190a9fa2ea73cfa9d84629c176b34c89523a4d7d3ea138340cdd073d2cb3\",0,\"lean_workbook_plus_46834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007931.lean\",\"d03f0cc43b40ee01420d0b850f2b29ad07d632f37c2c2c66501813de86f672fd\",0,\"lean_workbook_plus_39684\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102244,
+      "path": "data/train/p0e/oproofs-s00002-r00007928-n000004-0000-00c32120ceb30274.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "00c32120ceb3027438549cf051b5e62ff7ad37a38d8497a0cc302080c8aad6ba"
+    },
+    {
+      "bytes": 35351,
+      "path": "data/dev/p0e/oproofs-s00002-r00007928-n000004-0000-2940028e80f83f94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2940028e80f83f94086402ddd61ce6b199b0425c6c2ac8471980fdfe8c2f6b41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007932-n000004.json b/manifests/batches/oproofs/s00002-r00007932-n000004.json
index f1335182ec77fae3fd99f6e052951b4835c1e01b..4cc3edfbc95afcfedfed0c4671cb244ff8abf324 100644
--- a/manifests/batches/oproofs/s00002-r00007932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007932-n000004",
   "batch_fingerprint": "ab028b525bdc51462b308f7549a71dce354e2f1afb575a5406bac29ad998c2f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007932-n000004-0000-3f323ad2d490ec61.parquet",
-      "sha256": "3f323ad2d490ec6121c54712bec38afb0d6415b39a5396ccef4e2e62295e03d1",
-      "bytes": 551270,
-      "rows": 27,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007932-n000004-0000-305d7fee7ec709f1.parquet",
-      "sha256": "305d7fee7ec709f12078e910f2690b8afd3e4e0f6ac96284931c7417d59266d9",
-      "bytes": 41841,
-      "rows": 3,
-      "revision": "73bf5b0a07ee82274dd9102d5445fdd4c85357ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7933",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007933.lean\",\"74efd5214786f1bb5f9b3e9a0e420c5157d42a6399684be6065839acd36bb42d\",0,\"lean_workbook_plus_38204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007934.lean\",\"923ec5d4a38644246041d2414092e5647c020e5fb1e8d39ef23ab2ac1f51f93a\",0,\"lean_workbook_plus_63487\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007935.lean\",\"944c4b2f5283bc92372855f667b459e7ade0ccd01a6fdee8e6b0beab080d3ed4\",0,\"lean_workbook_plus_39801\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 551270,
+      "path": "data/train/pa6/oproofs-s00002-r00007932-n000004-0000-3f323ad2d490ec61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3f323ad2d490ec6121c54712bec38afb0d6415b39a5396ccef4e2e62295e03d1"
+    },
+    {
+      "bytes": 41841,
+      "path": "data/dev/pa6/oproofs-s00002-r00007932-n000004-0000-305d7fee7ec709f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "305d7fee7ec709f12078e910f2690b8afd3e4e0f6ac96284931c7417d59266d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007936-n000004.json b/manifests/batches/oproofs/s00002-r00007936-n000004.json
index 0e3d5c8e00befbd2c38d4aa37595fe33390e3769..a5243a4feb05cd9923e9eb00dee709b87238132c 100644
--- a/manifests/batches/oproofs/s00002-r00007936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007936-n000004",
   "batch_fingerprint": "2a2d7ecca7649ccd4b948ebb21eefb41f0d7d55ccf6c0541a3382f87815205f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007936-n000004-0000-ce401ab43a640cd9.parquet",
-      "sha256": "ce401ab43a640cd9a2e17a30f02e666d89a9447d0b042adc7902dd7145a7e2a2",
-      "bytes": 143634,
-      "rows": 17,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007937.lean\",\"87a49e50b163d74ae26419a34242bae795b608b7aa26fa8c1bde8b03245e0969\",0,\"lean_workbook_plus_27989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007938.lean\",\"bc648e57d49d45f3f4cebc0cd97d57a13524edb7c5ae73a7a095033b5f05345e\",0,\"lean_workbook_plus_17842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007939.lean\",\"c9a8723f0ebc279a773b0268fb46f6f7bb93e0b58239af0729e1f951557e43e8\",0,\"lean_workbook_47615\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143634,
+      "path": "data/train/pbf/oproofs-s00002-r00007936-n000004-0000-ce401ab43a640cd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ce401ab43a640cd9a2e17a30f02e666d89a9447d0b042adc7902dd7145a7e2a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007940-n000004.json b/manifests/batches/oproofs/s00002-r00007940-n000004.json
index c6c59ba814ce20953b763fa76cd72e77a2d464f7..5116e9a10a9799f7bd45e624cd0ec35555eb289b 100644
--- a/manifests/batches/oproofs/s00002-r00007940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007940-n000004",
   "batch_fingerprint": "5086c2b4a07bf4bf48ad96470629d4c8814f2a17452a9e082abf47ad0e7f22c0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007940-n000004-0000-dcb8b573ff3bd032.parquet",
-      "sha256": "dcb8b573ff3bd032bb53a7b25b654841fbd241c3c9504eb3a1e70e3b7c12c3ad",
-      "bytes": 403899,
-      "rows": 25,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007941.lean\",\"1ad1ba832a645f3a1e82a2ae632a837a4ce32913c26b505492f64a2209d83d69\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007942.lean\",\"9ea02669c932984e41cef115e3591a931af5a2941886b418b6a0e024131875aa\",0,\"lean_workbook_plus_80650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007943.lean\",\"4ddd9d860f2079a05fe6ba51e9c3932fe7c8279e59a9b7286374abf592025fbe\",0,\"lean_workbook_plus_28931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 403899,
+      "path": "data/train/pb6/oproofs-s00002-r00007940-n000004-0000-dcb8b573ff3bd032.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "dcb8b573ff3bd032bb53a7b25b654841fbd241c3c9504eb3a1e70e3b7c12c3ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007944-n000004.json b/manifests/batches/oproofs/s00002-r00007944-n000004.json
index eb9330515e26ec582732787cf862a1b517971917..330bbf184abcce3a5c758393f61a4e9a57ecad4e 100644
--- a/manifests/batches/oproofs/s00002-r00007944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007944-n000004",
   "batch_fingerprint": "067db7e43695c6cdfd7345ee25aef83951a9ca9e738f5a4d6e13dc22fa21ba54",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007944-n000004-0000-99c27cca0409f203.parquet",
-      "sha256": "99c27cca0409f2036c701275df3c1533796507b0ee7a3be467a3505886feac7e",
-      "bytes": 689119,
-      "rows": 9,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00007944-n000004-0001-ce57051849ba7eb8.parquet",
-      "sha256": "ce57051849ba7eb8dfc8479547d86fbebe89ef5f58e44def88728c453d4b0e5a",
-      "bytes": 838349,
-      "rows": 22,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7945",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007945.lean\",\"d477430cfbcc663880260fc04916fbb31827fa7dbabb96959c3902e24723e08a\",0,\"lean_workbook_plus_67341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007946.lean\",\"866584de1155375418f542381f7be2ab06e6cbeddf082755daa11d063fcb5e3c\",0,\"lean_workbook_plus_44580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007947.lean\",\"f51094c3a076cdbb3c8e9c75d1a75e9a2759861fe1412e3ab3dc3cd7399a118b\",0,\"lean_workbook_plus_16372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 689119,
+      "path": "data/train/pc6/oproofs-s00002-r00007944-n000004-0000-99c27cca0409f203.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "99c27cca0409f2036c701275df3c1533796507b0ee7a3be467a3505886feac7e"
+    },
+    {
+      "bytes": 838349,
+      "path": "data/train/pc6/oproofs-s00002-r00007944-n000004-0001-ce57051849ba7eb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ce57051849ba7eb8dfc8479547d86fbebe89ef5f58e44def88728c453d4b0e5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007948-n000004.json b/manifests/batches/oproofs/s00002-r00007948-n000004.json
index cf514dfbae248ba955d3c9da1970a987ab394ec2..eaa157bab70d0a19b2ffe2eaff349c521cd92a53 100644
--- a/manifests/batches/oproofs/s00002-r00007948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007948-n000004",
   "batch_fingerprint": "bf6efccf4c46564fba0421d51c8e3ec8be7a1ea9d6fcfe9b703bd26a4d4f8a03",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007948-n000004-0000-9a8a6f743d01c872.parquet",
-      "sha256": "9a8a6f743d01c872790b83920c3b150b954f5b343527a743d56fc1f63fd9e39d",
-      "bytes": 162002,
-      "rows": 9,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007948-n000004-0000-2f979f2c9a724725.parquet",
-      "sha256": "2f979f2c9a7247258596703a7d35f669888698a823db091d62a5d341465d9516",
-      "bytes": 69624,
-      "rows": 2,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007949.lean\",\"7cd96ff8f024d4663be64dd5b7fcd3cf98fab9df4124d898e5114a93df1908bd\",0,\"lean_workbook_plus_62384\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007950.lean\",\"8e00cfc53b65aff5fcbb743adac2666d805835421d7929d8e7f55e9f45402cc8\",0,\"lean_workbook_plus_72318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007951.lean\",\"c4e96d6f54003270af3191d0f4a9585cf9ed9311be62dd52121b31b55b599ace\",0,\"arctg_quotient_eq_one\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162002,
+      "path": "data/train/p0d/oproofs-s00002-r00007948-n000004-0000-9a8a6f743d01c872.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9a8a6f743d01c872790b83920c3b150b954f5b343527a743d56fc1f63fd9e39d"
+    },
+    {
+      "bytes": 69624,
+      "path": "data/dev/p0d/oproofs-s00002-r00007948-n000004-0000-2f979f2c9a724725.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2f979f2c9a7247258596703a7d35f669888698a823db091d62a5d341465d9516"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007952-n000004.json b/manifests/batches/oproofs/s00002-r00007952-n000004.json
index 91435e3ef1559028437ada3847d1df518edc464b..caa15235f5355c0464e3fcbdd049050e8ce72cd7 100644
--- a/manifests/batches/oproofs/s00002-r00007952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007952-n000004",
   "batch_fingerprint": "170b09d6260e2141c58dbd093a881d12d355616ba44bfb08d9ec8f433e6fb3d0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007952-n000004-0000-c71f31899bacc370.parquet",
-      "sha256": "c71f31899bacc37018ed6e83cd64a8f9e099ea7636cdbb4e577a9641ca1f9766",
-      "bytes": 402435,
-      "rows": 19,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007952-n000004-0000-1f4695ee22591157.parquet",
-      "sha256": "1f4695ee22591157983082581957a728011da6772144cd960ed797b64c5a05a6",
-      "bytes": 105327,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007953.lean\",\"46a3504d155e42f4118c0d18e06eb695ca6ad119c809d1610691f90ac242336c\",0,\"min_value_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007954.lean\",\"241a25831f8745a2fd6efa12a4fef7121a0c74205281395b9663b8bb943003d1\",0,\"lean_workbook_27946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007955.lean\",\"2d4d18732adc31711a4d1489bcef4a4b510cdab3e56f132d4a044f647b3d5ab4\",0,\"lean_workbook_34649\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402435,
+      "path": "data/train/pee/oproofs-s00002-r00007952-n000004-0000-c71f31899bacc370.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c71f31899bacc37018ed6e83cd64a8f9e099ea7636cdbb4e577a9641ca1f9766"
+    },
+    {
+      "bytes": 105327,
+      "path": "data/dev/pee/oproofs-s00002-r00007952-n000004-0000-1f4695ee22591157.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1f4695ee22591157983082581957a728011da6772144cd960ed797b64c5a05a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007956-n000004.json b/manifests/batches/oproofs/s00002-r00007956-n000004.json
index eb76501af6cf2da33cf8819dc3b7e228f9a06f5a..308f628bc0f96fc8109782ddc19c5ac2052f76ff 100644
--- a/manifests/batches/oproofs/s00002-r00007956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007956-n000004",
   "batch_fingerprint": "a3f9b36453105a454dde0069fbcbc76bdd7e451f867969a937868153c385ed0f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007956-n000004-0000-429e3a8a524de951.parquet",
-      "sha256": "429e3a8a524de9515437a10a829625d053fee6f16e48f20351bcfdedbdd28aae",
-      "bytes": 106372,
-      "rows": 17,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7957",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007957.lean\",\"fb4b60a89e594c746a1dd657d8760fc552e56a5c57455df486f1a3c45b15908e\",0,\"lean_workbook_plus_81521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007958.lean\",\"1cd59697bf556bf6fbba29cf56d500468edef51ef54c4633ac9a05380ecef76c\",0,\"lean_workbook_1673\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007959.lean\",\"dcd80fc9fe54b811c83c96f8116c883ecf3b97a431fb18522690a0020748acea\",0,\"lean_workbook_plus_41946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106372,
+      "path": "data/train/p4a/oproofs-s00002-r00007956-n000004-0000-429e3a8a524de951.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "429e3a8a524de9515437a10a829625d053fee6f16e48f20351bcfdedbdd28aae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007960-n000004.json b/manifests/batches/oproofs/s00002-r00007960-n000004.json
index 3a24a985ff726ba12a045543bb4781e083ff7c36..ef46126cac49480902685d08c41c1ec89c1c7dcb 100644
--- a/manifests/batches/oproofs/s00002-r00007960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007960-n000004",
   "batch_fingerprint": "75578c05a94de83cf39cab88e14c61000f55b62044231f919ea89d41db8e6628",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7960",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7961",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7962",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7963"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007960.lean\",\"5582a2d04e9b46848839c3d5a0b778c719fd3e7d4922b1a8799bd9cb3a24ad71\",0,\"lean_workbook_55402\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007961.lean\",\"f3fdbce2a82b349af73159c887a60b4ab48f317c9d0eca220b0bda28f9ac8d5f\",0,\"lean_workbook_45254\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007962.lean\",\"0a06d03211b6bc82a26f1eae03a680b14e535e680f40f8bc2459017369c77818\",0,\"lean_workbook_plus_67719\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007963.lean\",\"736273bebeb7a37a2b123072f48b01fa0aef2e8725f036137e1fa296d7d66bbc\",0,\"lean_workbook_plus_63768\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00007960-n000004-0000-8c10bfa4a824b561.parquet",
-      "sha256": "8c10bfa4a824b561e9aa87e86277ec45ffc4cd1f5ecfb005a466697d65e3c777",
       "bytes": 752767,
+      "path": "data/train/pe7/oproofs-s00002-r00007960-n000004-0000-8c10bfa4a824b561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "8c10bfa4a824b561e9aa87e86277ec45ffc4cd1f5ecfb005a466697d65e3c777"
     },
     {
-      "path": "data/train/oproofs-s00002-r00007960-n000004-0001-f10fdddfffeea6be.parquet",
-      "sha256": "f10fdddfffeea6be5a866fc77c8e953c795a4aca6484c6016bb4271f8f3f4567",
       "bytes": 72427,
+      "path": "data/train/pe7/oproofs-s00002-r00007960-n000004-0001-f10fdddfffeea6be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "f10fdddfffeea6be5a866fc77c8e953c795a4aca6484c6016bb4271f8f3f4567"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00007960-n000004-0000-2fbd1a5e52fadafb.parquet",
-      "sha256": "2fbd1a5e52fadafb5aa4263ccc2e145f926f7c2eaf4f090050c7b9c4ef3234fd",
       "bytes": 118165,
+      "path": "data/dev/pe7/oproofs-s00002-r00007960-n000004-0000-2fbd1a5e52fadafb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "2fbd1a5e52fadafb5aa4263ccc2e145f926f7c2eaf4f090050c7b9c4ef3234fd"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7960",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7961",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7962",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7963"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007960.lean\",\"5582a2d04e9b46848839c3d5a0b778c719fd3e7d4922b1a8799bd9cb3a24ad71\",0,\"lean_workbook_55402\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007961.lean\",\"f3fdbce2a82b349af73159c887a60b4ab48f317c9d0eca220b0bda28f9ac8d5f\",0,\"lean_workbook_45254\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007962.lean\",\"0a06d03211b6bc82a26f1eae03a680b14e535e680f40f8bc2459017369c77818\",0,\"lean_workbook_plus_67719\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007963.lean\",\"736273bebeb7a37a2b123072f48b01fa0aef2e8725f036137e1fa296d7d66bbc\",0,\"lean_workbook_plus_63768\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007964-n000004.json b/manifests/batches/oproofs/s00002-r00007964-n000004.json
index 36cfe829f1321ed351d93f66e05beec6094ec263..fdb5b60ff819c4c829a3b8bae089fe6501bd2b8d 100644
--- a/manifests/batches/oproofs/s00002-r00007964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007964-n000004",
   "batch_fingerprint": "cfcbabce44e13c12d2e24d90f5e5a209160c79b1a819d25dce818f9d88e957b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007964-n000004-0000-9c54cd3790358b4e.parquet",
-      "sha256": "9c54cd3790358b4e6c493b4c4005d71635d54f15fc8ad69d2012839f7cb43940",
-      "bytes": 240774,
-      "rows": 18,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007964-n000004-0000-6b644af82bf978a6.parquet",
-      "sha256": "6b644af82bf978a6ce44fac363f14cf27fc38246ffc6f657e1c373cef638c587",
-      "bytes": 71141,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007965.lean\",\"0251be0937c3a8a3e80571220ac3c16a3c8444da696254e11c42c15425eaceed\",0,\"lean_workbook_32044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007966.lean\",\"a9992438733417841c26d94370966b6165476ebab09654ec2910d29d663d7b6b\",0,\"lean_workbook_plus_19857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007967.lean\",\"22a5936239ed201a546c31ed56b7ad481d592ec6103f472e11d80cd6cb3008c7\",0,\"lean_workbook_plus_59328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240774,
+      "path": "data/train/p06/oproofs-s00002-r00007964-n000004-0000-9c54cd3790358b4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9c54cd3790358b4e6c493b4c4005d71635d54f15fc8ad69d2012839f7cb43940"
+    },
+    {
+      "bytes": 71141,
+      "path": "data/internal_test/p06/oproofs-s00002-r00007964-n000004-0000-6b644af82bf978a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6b644af82bf978a6ce44fac363f14cf27fc38246ffc6f657e1c373cef638c587"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007968-n000004.json b/manifests/batches/oproofs/s00002-r00007968-n000004.json
index f0d105a0cb013fb4336757beb29a7d648583670d..c22d0c78ec98ce80e8e66d65dd57c513c022b2e9 100644
--- a/manifests/batches/oproofs/s00002-r00007968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007968-n000004",
   "batch_fingerprint": "e90264cf2d2b2b0f25b7b71136b1e157d2c731358d91a189ad710a6a057c100a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007968-n000004-0000-785875d34c16e99f.parquet",
-      "sha256": "785875d34c16e99f3885a41cc75be88f6d3bbd7583512f87ed8c0eddc2f9015d",
-      "bytes": 229159,
-      "rows": 23,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007968-n000004-0000-16399a4108ba530a.parquet",
-      "sha256": "16399a4108ba530ac39fb311cbfb761cdc71a2a84c59a825d37861c2668afdc6",
-      "bytes": 62611,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007969.lean\",\"bce0ca4c9b90f9da3ea3c55a64979731c73124921d68b145076406b6a36c35f7\",0,\"lean_workbook_plus_59845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007970.lean\",\"24ca808e328c82803945a1b2f4ddafef1401dbe1537887d6b8eb7503267eeda9\",0,\"lean_workbook_plus_55124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007971.lean\",\"038fef3ffa298e2480004371ba7a400b09379bc4e7979e05fcd139e11d544a2f\",0,\"lean_workbook_plus_10964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229159,
+      "path": "data/train/p01/oproofs-s00002-r00007968-n000004-0000-785875d34c16e99f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "785875d34c16e99f3885a41cc75be88f6d3bbd7583512f87ed8c0eddc2f9015d"
+    },
+    {
+      "bytes": 62611,
+      "path": "data/dev/p01/oproofs-s00002-r00007968-n000004-0000-16399a4108ba530a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "16399a4108ba530ac39fb311cbfb761cdc71a2a84c59a825d37861c2668afdc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007972-n000004.json b/manifests/batches/oproofs/s00002-r00007972-n000004.json
index 915af71e2161fe14bd4a11b5e7fdac0b428da75d..6d036321a6a072930de19b81ca03278f4c04c308 100644
--- a/manifests/batches/oproofs/s00002-r00007972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007972-n000004",
   "batch_fingerprint": "f22ba17fa9669b38cd499eb7165ddee02f6c89d67640ab157caaa06f8c80a66b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007972-n000004-0000-a89af63698941fc6.parquet",
-      "sha256": "a89af63698941fc614d4c118e43f9144ec2c14edd4b2f764b216cfa74c34b044",
-      "bytes": 260007,
-      "rows": 19,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007973.lean\",\"ab5a6febaf4f529f1ec1c645fc1eac95bfad4ab94f2e9375793982cbd4260828\",0,\"lean_workbook_20371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007974.lean\",\"ceea8c8344878f72866d7207b9c720c79498684ec6cb10fd517503d2fa0f2808\",0,\"lean_workbook_plus_51730\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007975.lean\",\"658c34eb2c87e8e4e96772b0ba094097b8ec5de861cd4a356f27e3c031ea8fbb\",0,\"lean_workbook_plus_54677\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260007,
+      "path": "data/train/p6e/oproofs-s00002-r00007972-n000004-0000-a89af63698941fc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a89af63698941fc614d4c118e43f9144ec2c14edd4b2f764b216cfa74c34b044"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007976-n000004.json b/manifests/batches/oproofs/s00002-r00007976-n000004.json
index 49d42dcf5582b97d300d3eb9450df6d05d126098..9ab620acb5aae4a3f7f2083062b8629222b3723b 100644
--- a/manifests/batches/oproofs/s00002-r00007976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007976-n000004",
   "batch_fingerprint": "8aecb6742b35b9e967248973a79162fe5ad253a53ae3483089bb1f7a4b0e802e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007976-n000004-0000-15280418ad894a07.parquet",
-      "sha256": "15280418ad894a07adb325d6d7944d2aabb1f1e74628417f1565d3b84dbfeb1b",
-      "bytes": 153572,
-      "rows": 7,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007976-n000004-0000-66b90cffd4dfd9fb.parquet",
-      "sha256": "66b90cffd4dfd9fb82d2ddfb15b11e3bc7f84f373039ac77c727ea137fc3d330",
-      "bytes": 119002,
-      "rows": 8,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7977",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007977.lean\",\"37ad06c01a72cfe7cf138b6e51d5c64dd3fe9ab6db87b9c982153d1029a97d08\",0,\"lean_workbook_53576\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007978.lean\",\"fa2358ff99146907879b2fd60c095f7169647b39ee3822db5225bd6d1fef0daf\",0,\"lean_workbook_plus_66791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007979.lean\",\"4752e755673ad03faa98db084ed1832420a28568237b1fca274616464753f050\",0,\"lean_workbook_plus_32816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153572,
+      "path": "data/train/p5c/oproofs-s00002-r00007976-n000004-0000-15280418ad894a07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "15280418ad894a07adb325d6d7944d2aabb1f1e74628417f1565d3b84dbfeb1b"
+    },
+    {
+      "bytes": 119002,
+      "path": "data/dev/p5c/oproofs-s00002-r00007976-n000004-0000-66b90cffd4dfd9fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "66b90cffd4dfd9fb82d2ddfb15b11e3bc7f84f373039ac77c727ea137fc3d330"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007980-n000004.json b/manifests/batches/oproofs/s00002-r00007980-n000004.json
index 47a0634cbe737adfe7aaed8233060aae9813041c..b7401d18f39599a764167b9137668be7ca8b938e 100644
--- a/manifests/batches/oproofs/s00002-r00007980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007980-n000004",
   "batch_fingerprint": "89748b8ea88384e8350a689d4099dcf49d561c68bdde9cba739295c9ed55806c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007980-n000004-0000-c01da22109e3bc0a.parquet",
-      "sha256": "c01da22109e3bc0a9dce09add8b6a99e20825a1044d6268c48ed1701076ff92f",
-      "bytes": 523604,
-      "rows": 12,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007980-n000004-0000-e4994a031dffc44f.parquet",
-      "sha256": "e4994a031dffc44fdb44c655e63d35c53224268b36a66d321bf5aabbc8e56161",
-      "bytes": 334538,
-      "rows": 8,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7981",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007981.lean\",\"f0ee23c1a3a95af760580e641ad63b373aed803fe3f0147c6b70c9f72a80ca64\",0,\"lean_workbook_54746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007982.lean\",\"893d7ae1bfb1e20ae1dfd7e4940e06b891d3d82b08d7e5d0c21326dfaf4c442c\",0,\"lean_workbook_plus_79088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007983.lean\",\"420c8190446e3e21015157f214f4471c5557b7392ce1a467a51364bc3240e64c\",0,\"lean_workbook_plus_26263\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523604,
+      "path": "data/train/pd3/oproofs-s00002-r00007980-n000004-0000-c01da22109e3bc0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c01da22109e3bc0a9dce09add8b6a99e20825a1044d6268c48ed1701076ff92f"
+    },
+    {
+      "bytes": 334538,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00007980-n000004-0000-e4994a031dffc44f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e4994a031dffc44fdb44c655e63d35c53224268b36a66d321bf5aabbc8e56161"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007984-n000004.json b/manifests/batches/oproofs/s00002-r00007984-n000004.json
index 77d2a33af5e8265dfaa926ee16b7a3f85c51a4ff..ecd240ecf709388593028f233b95029dec2d2c25 100644
--- a/manifests/batches/oproofs/s00002-r00007984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007984-n000004",
   "batch_fingerprint": "e517418e5e53e37120c3f3685ba6dceeb8e380a12886b9a7d704a8c5e19ec055",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007984-n000004-0000-709fc8985306c3cf.parquet",
-      "sha256": "709fc8985306c3cf454b2502bf4d01cce9f9648307ec07e89391f8926033c8b2",
-      "bytes": 589546,
-      "rows": 18,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00007984-n000004-0000-add8ebbbaa12b1e9.parquet",
-      "sha256": "add8ebbbaa12b1e9ba1f3c2b7460df7045412eac9d8a8c7e5a43eb0ab00c8692",
-      "bytes": 67076,
-      "rows": 7,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7985",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007985.lean\",\"7bd399d939f624df5b6d8323412d7f950a96ab72b3523218ac91b433a1787688\",0,\"lean_workbook_plus_12380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007986.lean\",\"689b940536a9591ecfc0b329594e4d97cb2a3492c4fc22df4f39ba87c056216c\",0,\"lean_workbook_42999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007987.lean\",\"ce3b7a7d3e190a762f722c6922daa2d272a3ca35f746457fcf9ab596723f9a68\",0,\"lean_workbook_plus_43005\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 589546,
+      "path": "data/train/pb5/oproofs-s00002-r00007984-n000004-0000-709fc8985306c3cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "709fc8985306c3cf454b2502bf4d01cce9f9648307ec07e89391f8926033c8b2"
+    },
+    {
+      "bytes": 67076,
+      "path": "data/internal_test/pb5/oproofs-s00002-r00007984-n000004-0000-add8ebbbaa12b1e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "add8ebbbaa12b1e9ba1f3c2b7460df7045412eac9d8a8c7e5a43eb0ab00c8692"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007988-n000004.json b/manifests/batches/oproofs/s00002-r00007988-n000004.json
index a71cc9be3fb69081d8962799c33c232f78e2dc52..0bbc2db5c723e3831b7f997c8cfe14b524bbbb48 100644
--- a/manifests/batches/oproofs/s00002-r00007988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007988-n000004",
   "batch_fingerprint": "f58d4becb626cff0fc5c76d9e14d6047eb7cf6a6c8b84fdc624a4c6b66a54813",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007988-n000004-0000-1671b4099336e161.parquet",
-      "sha256": "1671b4099336e16164ac899f13a7188dac4207a961558a7ef515122dec4b4a9f",
-      "bytes": 162691,
-      "rows": 13,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007988-n000004-0000-5a0fe83f3ee6e710.parquet",
-      "sha256": "5a0fe83f3ee6e710d4284dd1d1544afba700bfb55a3307c2e2f811ab9e00b8bc",
-      "bytes": 41565,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007989.lean\",\"f210c33b0a77a6ac503ebd68d63b49d10591280c489c418ee882d54e108698d8\",0,\"lean_workbook_46655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007990.lean\",\"75834307850e920956bfaa19af0577fbe3dc298c8b9e42be3c28dc30576eeaef\",0,\"lean_workbook_plus_46834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007991.lean\",\"ce61b95fc9c829cfca024938883ada1efaecd055ecb7f202253712ea7a8b9a39\",0,\"lean_workbook_plus_39684\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162691,
+      "path": "data/train/p15/oproofs-s00002-r00007988-n000004-0000-1671b4099336e161.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1671b4099336e16164ac899f13a7188dac4207a961558a7ef515122dec4b4a9f"
+    },
+    {
+      "bytes": 41565,
+      "path": "data/dev/p15/oproofs-s00002-r00007988-n000004-0000-5a0fe83f3ee6e710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5a0fe83f3ee6e710d4284dd1d1544afba700bfb55a3307c2e2f811ab9e00b8bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007992-n000004.json b/manifests/batches/oproofs/s00002-r00007992-n000004.json
index 180b70408d9b3241ef4c22893e285f7805d414b6..e157599e4fb766bc0c3b932f6b4f6eb283989811 100644
--- a/manifests/batches/oproofs/s00002-r00007992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007992-n000004",
   "batch_fingerprint": "331e28d53f68d3fa520a3d57ed16699bf276546833f7e8cd5b7700dc4f37f6b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007992-n000004-0000-b2674c1ab8df660b.parquet",
-      "sha256": "b2674c1ab8df660b95eba25a5c3760dde3dc8bd8f8099752e6d27c53391970c6",
-      "bytes": 155986,
-      "rows": 12,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00007992-n000004-0000-d1b5dfb12357180a.parquet",
-      "sha256": "d1b5dfb12357180aa3ce8dd0fa6d9d85615e86c97d2c42fc3bdcf09364b19547",
-      "bytes": 43335,
-      "rows": 3,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007993.lean\",\"9a2c1e7106482679610bbf02fa1f8ba4d30610653ff9b43d0135cd7a18b3781d\",0,\"lean_workbook_32089\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007994.lean\",\"72532ea291632f088d583bb80144b423972d4b485330f2e16d5383c36f4a575a\",0,\"lean_workbook_plus_38204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007995.lean\",\"332aae04b23d5e6b28bca834639ad37245191d29b449bab14fc345a15148d72b\",0,\"lean_workbook_plus_49322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155986,
+      "path": "data/train/p86/oproofs-s00002-r00007992-n000004-0000-b2674c1ab8df660b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b2674c1ab8df660b95eba25a5c3760dde3dc8bd8f8099752e6d27c53391970c6"
+    },
+    {
+      "bytes": 43335,
+      "path": "data/dev/p86/oproofs-s00002-r00007992-n000004-0000-d1b5dfb12357180a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d1b5dfb12357180aa3ce8dd0fa6d9d85615e86c97d2c42fc3bdcf09364b19547"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00007996-n000004.json b/manifests/batches/oproofs/s00002-r00007996-n000004.json
index 5adb24bb373a816f2ecc44876cddffd21d47dfbc..e55f0bd79979eacd9a83496d62b0722fb783e948 100644
--- a/manifests/batches/oproofs/s00002-r00007996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00007996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00007996-n000004",
   "batch_fingerprint": "0274d17a893ba2374650c89b70f1b5cf974b1db3a66b485b8b5d1dba42a09a8e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00007996-n000004-0000-edb70b5aa6e09ccd.parquet",
-      "sha256": "edb70b5aa6e09ccdf4b27ee1c1af06b8f704a84f3449694a1af39ea2f7dea91a",
-      "bytes": 197724,
-      "rows": 15,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:7997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007997.lean\",\"8b7c13d6cf58cd4dd8836d7c91199c3e5ce664509ec6814e6683d525d7ee0c49\",0,\"lean_workbook_plus_27989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007998.lean\",\"865560f2c2f7289c6aae7304efa45b1598efc99f9f1baf73c2ad4e851d4f4ca1\",0,\"lean_workbook_plus_28990\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007999.lean\",\"bceffb0b37a5697af5655132f737dbc0fc09fd88388363587947695b56184397\",0,\"lean_workbook_plus_17842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197724,
+      "path": "data/train/pca/oproofs-s00002-r00007996-n000004-0000-edb70b5aa6e09ccd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "edb70b5aa6e09ccdf4b27ee1c1af06b8f704a84f3449694a1af39ea2f7dea91a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008000-n000004.json b/manifests/batches/oproofs/s00002-r00008000-n000004.json
index b553b9aeb35eddc01d94f899849f05924016a34c..116d7715d04638517f63303202ec6e54e653ba96 100644
--- a/manifests/batches/oproofs/s00002-r00008000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008000-n000004",
   "batch_fingerprint": "7501b6963c313acb6992643db3386203475deca2b8040bf3fa0197f641066e6c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008000-n000004-0000-3c52ea910d37f6c2.parquet",
-      "sha256": "3c52ea910d37f6c21cc4d298a28a06b4bba5d6523d53ca6c19a01a58848cb6d5",
-      "bytes": 835508,
-      "rows": 25,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008001.lean\",\"105fac69b4108c7637fe2ea010c1ca87f2e526ff0f01670ec4aac84ae61aeafb\",0,\"lean_workbook_plus_14539\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008002.lean\",\"265447bb702bb722c8aa093b6e561ff960db579cc42fccb276d448150433dc25\",0,\"lean_workbook_plus_63487\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008003.lean\",\"544961377d2a621ec4d54895e1f9d89121db5f63acf59232ef0aeb7cc49423ae\",0,\"lean_workbook_12026\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 835508,
+      "path": "data/train/p59/oproofs-s00002-r00008000-n000004-0000-3c52ea910d37f6c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "3c52ea910d37f6c21cc4d298a28a06b4bba5d6523d53ca6c19a01a58848cb6d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008004-n000004.json b/manifests/batches/oproofs/s00002-r00008004-n000004.json
index b232504a6a62a3252578ab589b68ef146334fa6c..b79670aa6cd66c1d740024184c76842883a7afee 100644
--- a/manifests/batches/oproofs/s00002-r00008004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008004-n000004",
   "batch_fingerprint": "dd4b96dbb62ba92d6c5cf1b916864f6033ebce4e06988da76d755a482b2098ee",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008004-n000004-0000-4365cdd4d228fffb.parquet",
-      "sha256": "4365cdd4d228fffb0e9c72e38f721cfc10e636418141c63092d4184c247069c4",
-      "bytes": 531858,
-      "rows": 28,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8005",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008005.lean\",\"fd51f1749b43c1fd0e28f0ad36cf724da517b6c80e283111bfcc63314590176c\",0,\"lean_workbook_plus_28931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008006.lean\",\"01d62bfd04a6a03eb3d5b9cb34cae2c7eb980aa1f4b48f37c982ff402a75da10\",0,\"lean_workbook_plus_18435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008007.lean\",\"c09dc80f7d97c095cfdf0dc329e05defce4a1abeb93f662aa74f3eb15c7c12dc\",0,\"lean_workbook_plus_67341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531858,
+      "path": "data/train/pf9/oproofs-s00002-r00008004-n000004-0000-4365cdd4d228fffb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "4365cdd4d228fffb0e9c72e38f721cfc10e636418141c63092d4184c247069c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008008-n000004.json b/manifests/batches/oproofs/s00002-r00008008-n000004.json
index 784ef13d84a2d43b13d99db7768091fb8096b03b..d843768be43d5dd1b11406f67b155331aecc63c4 100644
--- a/manifests/batches/oproofs/s00002-r00008008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008008-n000004",
   "batch_fingerprint": "ebf0cf7a49cda8277499b9c3d3f38233a36f51c34de3e8ea5fe4cf65b4478c4e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008008-n000004-0000-228c8631efa467a8.parquet",
-      "sha256": "228c8631efa467a8a9ae94c2197a12b2687bd305c9ed9e60ef7d766e0b578f5d",
-      "bytes": 183122,
-      "rows": 23,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008008-n000004-0000-fa7340190bee2a27.parquet",
-      "sha256": "fa7340190bee2a27ce9fabfcc2e4dde07f1858279edbbaa3266e49f835f385e9",
-      "bytes": 42543,
-      "rows": 5,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008009.lean\",\"5d6d550299bcb32009c337361d835ed8693c832f5f67e737dd769d8848029efe\",0,\"lean_workbook_plus_44580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008010.lean\",\"bc2a1d35151f4e8813c2bcd176f03ae332e005d7c3d624b606577b246cedaac2\",0,\"deck_flipping\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008011.lean\",\"db45f094195fffd15d69ff4a33505684061718d83339cad7d21194471ba20df1\",0,\"lean_workbook_plus_65065\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183122,
+      "path": "data/train/pa1/oproofs-s00002-r00008008-n000004-0000-228c8631efa467a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "228c8631efa467a8a9ae94c2197a12b2687bd305c9ed9e60ef7d766e0b578f5d"
+    },
+    {
+      "bytes": 42543,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00008008-n000004-0000-fa7340190bee2a27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fa7340190bee2a27ce9fabfcc2e4dde07f1858279edbbaa3266e49f835f385e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008012-n000004.json b/manifests/batches/oproofs/s00002-r00008012-n000004.json
index ee8c8b7f15759ff546607cc3c8398b8926bd56ad..b6a717ed2fe4bf5880b6dddca9d32fb70a0f6b34 100644
--- a/manifests/batches/oproofs/s00002-r00008012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008012-n000004",
   "batch_fingerprint": "d07cbafe7a03751eba79f99fa169a1e7edb3a6eb72c0916b3835a670011c9b47",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8012",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8013",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8014",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8015"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008012.lean\",\"cdd0b1255201636d7c0dcfb0da75afe6d2165ce1acac4b10ea54092ea355aa51\",0,\"lean_workbook_plus_17575\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008013.lean\",\"cf7dacf7ca64c61320f8a7d4db130af06860fc047e6f677c1c72e5b57f263425\",0,\"lean_workbook_plus_62384\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008014.lean\",\"def5319c459aa1589048a0baa48df230f322aa27bc6ae21fc77e0a5845ecfc5c\",0,\"lean_workbook_plus_21166\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008015.lean\",\"480ab49a6c731b11f63968f318b303c475abc759ee5a15f42ee4acb4e6b3f105\",0,\"lean_workbook_plus_46271\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008012-n000004-0000-252fe34986583131.parquet",
-      "sha256": "252fe34986583131134eacdf29166c22d04446ee92362f214abe5bd8b1ebe2f9",
       "bytes": 138005,
+      "path": "data/train/pe7/oproofs-s00002-r00008012-n000004-0000-252fe34986583131.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "252fe34986583131134eacdf29166c22d04446ee92362f214abe5bd8b1ebe2f9"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008012-n000004-0000-39d1d08ae60acc7e.parquet",
-      "sha256": "39d1d08ae60acc7e601cb515c79493b97e015983f2d2e1930f780ab65bff3ca6",
       "bytes": 85888,
+      "path": "data/dev/pe7/oproofs-s00002-r00008012-n000004-0000-39d1d08ae60acc7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "39d1d08ae60acc7e601cb515c79493b97e015983f2d2e1930f780ab65bff3ca6"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008012-n000004-0000-f56684e27bdeb979.parquet",
-      "sha256": "f56684e27bdeb9794cb71a99b4bf2bcd72ce88501823e53a057bc67c48bba33a",
       "bytes": 74928,
+      "path": "data/internal_test/pe7/oproofs-s00002-r00008012-n000004-0000-f56684e27bdeb979.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "f56684e27bdeb9794cb71a99b4bf2bcd72ce88501823e53a057bc67c48bba33a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8012",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8013",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8014",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8015"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008012.lean\",\"cdd0b1255201636d7c0dcfb0da75afe6d2165ce1acac4b10ea54092ea355aa51\",0,\"lean_workbook_plus_17575\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008013.lean\",\"cf7dacf7ca64c61320f8a7d4db130af06860fc047e6f677c1c72e5b57f263425\",0,\"lean_workbook_plus_62384\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008014.lean\",\"def5319c459aa1589048a0baa48df230f322aa27bc6ae21fc77e0a5845ecfc5c\",0,\"lean_workbook_plus_21166\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008015.lean\",\"480ab49a6c731b11f63968f318b303c475abc759ee5a15f42ee4acb4e6b3f105\",0,\"lean_workbook_plus_46271\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008016-n000004.json b/manifests/batches/oproofs/s00002-r00008016-n000004.json
index b0f9f6fdf07e45603fe1b77eb50fb548bb314471..e91b75fc6bb5c6c7e8c9c9f23da8026902107ee7 100644
--- a/manifests/batches/oproofs/s00002-r00008016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008016-n000004",
   "batch_fingerprint": "9c4dcc67c77a69670ea5df977fc0923689c52829f65dfbca34babbcae8af8c8c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008016-n000004-0000-d33f04bdd2d28427.parquet",
-      "sha256": "d33f04bdd2d28427d752f77e4f001e7b23bc9bb6eeeed19e30aab7a2b3295953",
-      "bytes": 117993,
-      "rows": 10,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008016-n000004-0000-827aa9c086d3e0d7.parquet",
-      "sha256": "827aa9c086d3e0d7310a4fdf5e6aa0969a0ef114e5aad929af091338d1344aa6",
-      "bytes": 149331,
-      "rows": 9,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008017.lean\",\"ee3c408d6605a4facf3d3a7ff5623436ba551063628895b7beab5e1f72889635\",0,\"lean_workbook_27946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008018.lean\",\"b3dd0eb7bc47c796444bee62452e7ebb7a04ec1e1c2d2a10467113fefefba4dc\",0,\"lean_workbook_34649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008019.lean\",\"77e711ea36b5c6bded085093aa3a487645310654b76870f0ed3d618392696aac\",0,\"lean_workbook_55254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117993,
+      "path": "data/train/peb/oproofs-s00002-r00008016-n000004-0000-d33f04bdd2d28427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d33f04bdd2d28427d752f77e4f001e7b23bc9bb6eeeed19e30aab7a2b3295953"
+    },
+    {
+      "bytes": 149331,
+      "path": "data/dev/peb/oproofs-s00002-r00008016-n000004-0000-827aa9c086d3e0d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "827aa9c086d3e0d7310a4fdf5e6aa0969a0ef114e5aad929af091338d1344aa6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008020-n000004.json b/manifests/batches/oproofs/s00002-r00008020-n000004.json
index 3bf6b233eda414d81c1e143cb12ce3eb4e009ba4..97fe0e079988c5a29ce646009cef137b5d779d02 100644
--- a/manifests/batches/oproofs/s00002-r00008020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008020-n000004",
   "batch_fingerprint": "c117e70c166c39b4b87e479448f7401dc61bc2c306266ccb53fe2d0fe733f628",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008020-n000004-0000-94d4ab3ab2d18ab7.parquet",
-      "sha256": "94d4ab3ab2d18ab723036b9ca4de17312be4876b2087bfd889be7ac4767ccd2c",
-      "bytes": 81542,
-      "rows": 11,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008021.lean\",\"1aad4d58d42266360b47aa38694610d542de719ec06d87cd704e47d13d7049ee\",0,\"lean_workbook_plus_31950\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008022.lean\",\"7cf3c98759181ebc5f1d9d2ab122ccf3fec41fb2b6c89037053e493c3ac8c605\",0,\"lean_workbook_plus_81521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008023.lean\",\"3b3d5736e9e4ec0470174b4243eec8e3a47e42a51ac5758f637ed1dbdfab8e96\",0,\"lean_workbook_plus_41946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81542,
+      "path": "data/train/p97/oproofs-s00002-r00008020-n000004-0000-94d4ab3ab2d18ab7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "94d4ab3ab2d18ab723036b9ca4de17312be4876b2087bfd889be7ac4767ccd2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008024-n000004.json b/manifests/batches/oproofs/s00002-r00008024-n000004.json
index 8e0916ff3ccfc6f2cc8c812f756d0593fd07ee45..a388065e44ab61d4d10186199ed8afea1c3e2f4f 100644
--- a/manifests/batches/oproofs/s00002-r00008024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008024-n000004",
   "batch_fingerprint": "0db31a249282cc28aace3caf41f5bbaef6a033d684cd7cc971fc55a0682b95cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008024-n000004-0000-3ae69a686106f591.parquet",
-      "sha256": "3ae69a686106f591cd480feaf2a3db45ba6f060447c783328b02d49311c3c653",
-      "bytes": 184770,
-      "rows": 14,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008024-n000004-0000-017caa69eba82d2e.parquet",
-      "sha256": "017caa69eba82d2e40148d4be86e181a7f5b0df1dcfb93f9d15e8e7da2ef9031",
-      "bytes": 110032,
-      "rows": 2,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008025.lean\",\"8455e271afd79e139133aae7d296c48078202d42a526daad483ae8cbe1834ce1\",0,\"lean_workbook_55402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008026.lean\",\"f1cdf79ad272e4d824b67ce3aa7f1000e677b198e65f63caf8c278936d1a31e6\",0,\"lean_workbook_plus_67719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008027.lean\",\"5122f7734c51f036c412df71c62cf5ba4d00f9f13d1075112e3c2d7f747e39fc\",0,\"lean_workbook_51245\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184770,
+      "path": "data/train/p0e/oproofs-s00002-r00008024-n000004-0000-3ae69a686106f591.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3ae69a686106f591cd480feaf2a3db45ba6f060447c783328b02d49311c3c653"
+    },
+    {
+      "bytes": 110032,
+      "path": "data/dev/p0e/oproofs-s00002-r00008024-n000004-0000-017caa69eba82d2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "017caa69eba82d2e40148d4be86e181a7f5b0df1dcfb93f9d15e8e7da2ef9031"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008028-n000004.json b/manifests/batches/oproofs/s00002-r00008028-n000004.json
index c81beedb9725e15ba76c016b15a502248bf716cf..87a21382a6292876413521806d640c566d7cd621 100644
--- a/manifests/batches/oproofs/s00002-r00008028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008028-n000004",
   "batch_fingerprint": "8b6b3af5f0fff918a233c710a835f2a63a598af010f1746a6a010dad9edeb78b",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000008/oproofs-s00002-r00008028-n000004-0000-d1c617f38e0098aa.parquet",
-      "sha256": "d1c617f38e0098aa8b470655b14719b1163af30802b99dabb80096b8e949571f",
-      "bytes": 185847,
-      "rows": 19,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8029",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8030",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008029.lean\",\"0acfae5a9a49201436704e4369160f8e4738ff93f4de48a15eb01282f282a04b\",0,\"lean_workbook_45254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008030.lean\",\"987b52953bd9a1da3c4f61d3d9752bb94cec0220f80fabb7edb5585d03e3065a\",0,\"lean_workbook_32044\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008031.lean\",\"1c52d3da3bdb3ca650bdf51744f0b0e139648cd5593d702ee216d0ef89cdb337\",0,\"lean_workbook_plus_63768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185847,
+      "path": "data/train/pc1/oproofs-s00002-r00008028-n000004-0000-d1c617f38e0098aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d1c617f38e0098aa8b470655b14719b1163af30802b99dabb80096b8e949571f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008032-n000004.json b/manifests/batches/oproofs/s00002-r00008032-n000004.json
index feed009121fb1403824fcaee18dbb8be8ff2ce26..125cf89e5dee90b6f82ba4dce5a48aeea303f8e1 100644
--- a/manifests/batches/oproofs/s00002-r00008032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008032-n000004",
   "batch_fingerprint": "a993971a2a86c4380416f880ec34e4c056a00989ae18749cb5fdf6f6190acd21",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8032",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8033",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8034",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8035"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008032.lean\",\"fe079f83621c6d57f8cf37524ef56599b184ceabd4ada7d1c752efc6f73d8bec\",0,\"lean_workbook_plus_19857\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008033.lean\",\"9b3c26ad8136d212552a6d2e8f04c22619a3d54b6a7aa7b24ceb325889a129de\",0,\"lean_workbook_plus_37946\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008034.lean\",\"34ed5e389c55ce0d1d0d01f181b1243bb3e6e09e40942b6407536f3f88c8ea95\",0,\"lean_workbook_plus_26046\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008035.lean\",\"1dd04fa479624652dc060e1cb322885c9e152f2760f24d614924ed4f23a780f7\",0,\"lean_workbook_plus_55124\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008032-n000004-0000-12a90164c65cd6ea.parquet",
-      "sha256": "12a90164c65cd6eacbfc1258714602e73450201ea78d0e5fad318675f7516ea0",
       "bytes": 221525,
+      "path": "data/train/p7a/oproofs-s00002-r00008032-n000004-0000-12a90164c65cd6ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "12a90164c65cd6eacbfc1258714602e73450201ea78d0e5fad318675f7516ea0"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008032-n000004-0000-cf15f12f5dcd18ba.parquet",
-      "sha256": "cf15f12f5dcd18ba3ffd75d3a044ecc408749344c47433a4e0b7dd87b806bbc6",
       "bytes": 53664,
+      "path": "data/dev/p7a/oproofs-s00002-r00008032-n000004-0000-cf15f12f5dcd18ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "cf15f12f5dcd18ba3ffd75d3a044ecc408749344c47433a4e0b7dd87b806bbc6"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008032-n000004-0000-c21a5d6d6ea267b7.parquet",
-      "sha256": "c21a5d6d6ea267b77f5b77e2800bfbe4f42dc15a5f5ad5600418a6cfd5954559",
       "bytes": 59684,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00008032-n000004-0000-c21a5d6d6ea267b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
+      "sha256": "c21a5d6d6ea267b77f5b77e2800bfbe4f42dc15a5f5ad5600418a6cfd5954559"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8032",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8033",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8034",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8035"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008032.lean\",\"fe079f83621c6d57f8cf37524ef56599b184ceabd4ada7d1c752efc6f73d8bec\",0,\"lean_workbook_plus_19857\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008033.lean\",\"9b3c26ad8136d212552a6d2e8f04c22619a3d54b6a7aa7b24ceb325889a129de\",0,\"lean_workbook_plus_37946\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008034.lean\",\"34ed5e389c55ce0d1d0d01f181b1243bb3e6e09e40942b6407536f3f88c8ea95\",0,\"lean_workbook_plus_26046\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008035.lean\",\"1dd04fa479624652dc060e1cb322885c9e152f2760f24d614924ed4f23a780f7\",0,\"lean_workbook_plus_55124\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008036-n000004.json b/manifests/batches/oproofs/s00002-r00008036-n000004.json
index 6d8d74550b27341d0d1abd5907aac64535c4dfc2..ce52ed9953cd8adb7385035b802fe406fd6522a6 100644
--- a/manifests/batches/oproofs/s00002-r00008036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008036-n000004",
   "batch_fingerprint": "021d052aa619ee87e851196c540fb94916e663549f092e01e417159e62bbf57b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008036-n000004-0000-4919ba97ad3f784f.parquet",
-      "sha256": "4919ba97ad3f784f4fa82d9d348591fae0de8c1fc814795da3b560efd70f766b",
-      "bytes": 290044,
-      "rows": 21,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008036-n000004-0001-3116232ac77cf968.parquet",
-      "sha256": "3116232ac77cf968136da2e5ef4923891d00bed7e70b8a80147962c93628f9d8",
-      "bytes": 637532,
-      "rows": 12,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8037",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008037.lean\",\"164d9141e33edcb3d5b06c1dfc82cef8b6966f39995276084d9afcf611628cc8\",0,\"lean_workbook_plus_59845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008038.lean\",\"fce76d083243666c4e29002553cee82b9a5d700cc4690943aa0a4c6164cc5688\",0,\"lean_workbook_plus_59328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008039.lean\",\"e44372e033b24fda905710c08b2d6a7df209325de1debff81c714921b8508e46\",0,\"lean_workbook_plus_10964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 290044,
+      "path": "data/train/pb7/oproofs-s00002-r00008036-n000004-0000-4919ba97ad3f784f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "4919ba97ad3f784f4fa82d9d348591fae0de8c1fc814795da3b560efd70f766b"
+    },
+    {
+      "bytes": 637532,
+      "path": "data/train/pb7/oproofs-s00002-r00008036-n000004-0001-3116232ac77cf968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3116232ac77cf968136da2e5ef4923891d00bed7e70b8a80147962c93628f9d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008040-n000004.json b/manifests/batches/oproofs/s00002-r00008040-n000004.json
index 89c7969cd6df569db1feeed67ca4d61a3fed91d2..b7c8dcbea74a0798c56e04947cd1f25592c00598 100644
--- a/manifests/batches/oproofs/s00002-r00008040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008040-n000004",
   "batch_fingerprint": "b1fec1a40e1497d8884cbe222400ff64fa745b35db7919d3b54510018f5d04e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008040-n000004-0000-7a2cb70a79414eac.parquet",
-      "sha256": "7a2cb70a79414eac4e513aa032382f4df9507537eb7d488e5a1771cbfdf7a7ab",
-      "bytes": 339489,
-      "rows": 25,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008041.lean\",\"ff55457d9851392299dad6615e901161226b06bcd672a026c1ca5de490117ea8\",0,\"lean_workbook_plus_77102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008042.lean\",\"307e6082ff0065e3b75d6cf17d2b8b71f7a0df6f2d1b54c9d69d69b6a2cf9c54\",0,\"lean_workbook_24984\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008043.lean\",\"0c6c1bb4fc684e640787192fd374ff06fb4294da5e2b1e9accbe70e0b7862af6\",0,\"lean_workbook_56385\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339489,
+      "path": "data/train/p0c/oproofs-s00002-r00008040-n000004-0000-7a2cb70a79414eac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7a2cb70a79414eac4e513aa032382f4df9507537eb7d488e5a1771cbfdf7a7ab"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008044-n000004.json b/manifests/batches/oproofs/s00002-r00008044-n000004.json
index ca51fc0f708eda765e5bebd363b5a1d1018b4c65..dc12637ff854c7670d704b54007b2267625e85cb 100644
--- a/manifests/batches/oproofs/s00002-r00008044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008044-n000004",
   "batch_fingerprint": "3af536c5052c7c1cb387221aa6591df703def37ea0c1b84628821e7ca0fe4068",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008044-n000004-0000-ca478568a19761c0.parquet",
-      "sha256": "ca478568a19761c008b29acc738185765719453d91fc0fca5db6ac1fa837f94b",
-      "bytes": 623802,
-      "rows": 24,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008044-n000004-0000-f85bd10c408ce8b7.parquet",
-      "sha256": "f85bd10c408ce8b7f3ae55bf2b2e583efd3839fceca97f7247e3f8306f7dd6fb",
-      "bytes": 86418,
-      "rows": 3,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008045.lean\",\"4b9a97248bbaac7977c633c972994cbccb2b4035bfb6bee1848d9ebb8fb14f1e\",0,\"lean_workbook_plus_62358\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008046.lean\",\"2747903d98e25df3ad6df173f2f54a7ec84bb9fdf0823dfedd9d5de72ef799c8\",0,\"lean_workbook_53576\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008047.lean\",\"7796cdb56a1d4e0145a6f59e51ade7724f00df5f8b122334679bf76eba4d286b\",0,\"lean_workbook_plus_66791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 623802,
+      "path": "data/train/p52/oproofs-s00002-r00008044-n000004-0000-ca478568a19761c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ca478568a19761c008b29acc738185765719453d91fc0fca5db6ac1fa837f94b"
+    },
+    {
+      "bytes": 86418,
+      "path": "data/dev/p52/oproofs-s00002-r00008044-n000004-0000-f85bd10c408ce8b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f85bd10c408ce8b7f3ae55bf2b2e583efd3839fceca97f7247e3f8306f7dd6fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008048-n000004.json b/manifests/batches/oproofs/s00002-r00008048-n000004.json
index 430044b8d2144393a036390c886d9cf42a295706..43ada6a7bee21ef37e61ed0d1ac63b03cf966b5b 100644
--- a/manifests/batches/oproofs/s00002-r00008048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008048-n000004",
   "batch_fingerprint": "0ba66445c2397f3b9b466bd5ab628fd85a506a52a3df46b6e01bf25edf34bda6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8048",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8049",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8050",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8051"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008048.lean\",\"dbadb42840436c45faf075d2f7b7f45530562c80ea27af073d05fdfad24878f6\",0,\"lean_workbook_plus_54677\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008049.lean\",\"f91c4a3ecd3ebe4edfdb6dadc2222da2425c2e27707322b80e8f3f20717dcfef\",0,\"lean_workbook_plus_32816\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008050.lean\",\"f4b765a3befea5cc61270bc3639665c0a3e6ac2fac9e6b92930bfdd20265d821\",0,\"lean_workbook_54746\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008051.lean\",\"abcf9fc7f03cb6358cfbf217f879a8c56326d52a746fb7899094753c0ba338ce\",0,\"lean_workbook_plus_33973\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008048-n000004-0000-509e3e436d0658e3.parquet",
-      "sha256": "509e3e436d0658e3e70648dec8500169c91fde4ad1fe725d90b41b3c760fa524",
       "bytes": 263496,
+      "path": "data/train/pfa/oproofs-s00002-r00008048-n000004-0000-509e3e436d0658e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
+      "sha256": "509e3e436d0658e3e70648dec8500169c91fde4ad1fe725d90b41b3c760fa524"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008048-n000004-0000-e86c2113211ce51e.parquet",
-      "sha256": "e86c2113211ce51eeab25433c81a7d3913913f3ae1e5ef03dcc1d6a8bd079852",
       "bytes": 68576,
+      "path": "data/dev/pfa/oproofs-s00002-r00008048-n000004-0000-e86c2113211ce51e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
+      "sha256": "e86c2113211ce51eeab25433c81a7d3913913f3ae1e5ef03dcc1d6a8bd079852"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008048-n000004-0000-e435f0281aa50550.parquet",
-      "sha256": "e435f0281aa5055065d35fc81a74db3818b9b51c0a1d665bd057de899f35c480",
       "bytes": 33775,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00008048-n000004-0000-e435f0281aa50550.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "27011cd2b9ac8efd6991366c1a63f286b50ab065"
+      "sha256": "e435f0281aa5055065d35fc81a74db3818b9b51c0a1d665bd057de899f35c480"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8048",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8049",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8050",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8051"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008048.lean\",\"dbadb42840436c45faf075d2f7b7f45530562c80ea27af073d05fdfad24878f6\",0,\"lean_workbook_plus_54677\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008049.lean\",\"f91c4a3ecd3ebe4edfdb6dadc2222da2425c2e27707322b80e8f3f20717dcfef\",0,\"lean_workbook_plus_32816\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008050.lean\",\"f4b765a3befea5cc61270bc3639665c0a3e6ac2fac9e6b92930bfdd20265d821\",0,\"lean_workbook_54746\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008051.lean\",\"abcf9fc7f03cb6358cfbf217f879a8c56326d52a746fb7899094753c0ba338ce\",0,\"lean_workbook_plus_33973\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008052-n000004.json b/manifests/batches/oproofs/s00002-r00008052-n000004.json
index 09de34f70c4619c374d2c2f1421d42a19be56996..5bf575d7f9741a2df0d0c501570d8390914460b0 100644
--- a/manifests/batches/oproofs/s00002-r00008052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008052-n000004",
   "batch_fingerprint": "6008e1966734420732a4385f9a0265899a36c0f934bb66fa96ba595950252efe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008052-n000004-0000-15f4ac09b33cb2ba.parquet",
-      "sha256": "15f4ac09b33cb2ba2f241db7eb68b03e56e0b026b900f4404593b73e7e9fae8c",
-      "bytes": 153644,
-      "rows": 12,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008052-n000004-0000-cbbefb84f0e80cb8.parquet",
-      "sha256": "cbbefb84f0e80cb853c3b150829f33d463c7532871db25c70c3d62a02e351717",
-      "bytes": 56742,
-      "rows": 3,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8053",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008053.lean\",\"8a276f8a6e070083ea40c5c25f39b7704149c863d91b47bb7e31ea31aabcae53\",0,\"lean_workbook_plus_70610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008054.lean\",\"67781a129fd47f88bb5ae81ee7f18bbdd29c17be7247ae84718076dada6377a3\",0,\"lean_workbook_plus_12380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008055.lean\",\"70836016a126fa7944f7563712bd33fbd9d5cda9418821214fe9eb1d77b1b460\",0,\"lean_workbook_plus_13111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153644,
+      "path": "data/train/p8a/oproofs-s00002-r00008052-n000004-0000-15f4ac09b33cb2ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "15f4ac09b33cb2ba2f241db7eb68b03e56e0b026b900f4404593b73e7e9fae8c"
+    },
+    {
+      "bytes": 56742,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00008052-n000004-0000-cbbefb84f0e80cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cbbefb84f0e80cb853c3b150829f33d463c7532871db25c70c3d62a02e351717"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008056-n000004.json b/manifests/batches/oproofs/s00002-r00008056-n000004.json
index 436457bf3b6f875f5490bb01fbcd9cde8c64fd07..6e28bff50f85308cbfab089d5efdaa130d165806 100644
--- a/manifests/batches/oproofs/s00002-r00008056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008056-n000004",
   "batch_fingerprint": "a26d73237006772601347f309f5b200ba91216ab78fe3c74af21c2fca52f8a9b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008056-n000004-0000-d35bb2c5e096a8f2.parquet",
-      "sha256": "d35bb2c5e096a8f26c097f827417e6cb99119d0b0f86de0d003e7d118058eed0",
-      "bytes": 128837,
-      "rows": 12,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008056-n000004-0000-79e0fee0cc39f807.parquet",
-      "sha256": "79e0fee0cc39f8076aa37a4c67710db2b59fccd06505556219b0a10afaf06fe9",
-      "bytes": 379079,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008057.lean\",\"3aa748ca665e21b1f0c6999d59580bfacbb456382adf4274b86e50c424b6ad2a\",0,\"lean_workbook_plus_29896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008058.lean\",\"d44350f565fe092e0b95e5ceece641160cca8fdca8c6992f9b87332eaf5a41d0\",0,\"lean_workbook_38380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008059.lean\",\"9523befa00076a458ef2e23fc48968548f48dff2414c9d21cf1dc887cb869ccd\",0,\"lean_workbook_plus_36676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128837,
+      "path": "data/train/p9e/oproofs-s00002-r00008056-n000004-0000-d35bb2c5e096a8f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d35bb2c5e096a8f26c097f827417e6cb99119d0b0f86de0d003e7d118058eed0"
+    },
+    {
+      "bytes": 379079,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00008056-n000004-0000-79e0fee0cc39f807.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "79e0fee0cc39f8076aa37a4c67710db2b59fccd06505556219b0a10afaf06fe9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008060-n000004.json b/manifests/batches/oproofs/s00002-r00008060-n000004.json
index 53afb80419af078fddf0a5a21eefb0843a4d045d..a2e5ccf9b9e2a8cc7004e756406a33a61254129f 100644
--- a/manifests/batches/oproofs/s00002-r00008060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008060-n000004",
   "batch_fingerprint": "e5a5106e43117d0c8bbdc78d7acc4789645a5679bf214cb3b2dab173d6238455",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008060-n000004-0000-d1f9bf83be0f4d46.parquet",
-      "sha256": "d1f9bf83be0f4d46a7403041633cf4894b3329fb0d200bc0bf12974a680d40a1",
-      "bytes": 98464,
-      "rows": 12,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008060-n000004-0000-05300903e8228164.parquet",
-      "sha256": "05300903e82281641fa26ee6597f483756723c232b87494569d82dc5964e5922",
-      "bytes": 41757,
-      "rows": 4,
-      "revision": "201ba39ae44f8e78fe920b0bcdefd7175ecc8aac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008061.lean\",\"b44b8341b95706d9db5df4f33891f46f83105d0a9a52c0bce0434456efea75ae\",0,\"lean_workbook_46655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008062.lean\",\"59c6b742e020a3bfc907c42d92a50fb20ee81df8f4e51798ed6cb818712bfe7f\",0,\"lean_workbook_plus_46834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008063.lean\",\"ec45537a2b1e195c5a9e698300c2496234520814d5ece7a76351aa0000a07de6\",0,\"lean_workbook_plus_39684\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98464,
+      "path": "data/train/p07/oproofs-s00002-r00008060-n000004-0000-d1f9bf83be0f4d46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d1f9bf83be0f4d46a7403041633cf4894b3329fb0d200bc0bf12974a680d40a1"
+    },
+    {
+      "bytes": 41757,
+      "path": "data/dev/p07/oproofs-s00002-r00008060-n000004-0000-05300903e8228164.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "05300903e82281641fa26ee6597f483756723c232b87494569d82dc5964e5922"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008064-n000004.json b/manifests/batches/oproofs/s00002-r00008064-n000004.json
index d4e009363e12b66160d929197de4efb99916263e..14c256140df0622363196ac806f72c05a05e9174 100644
--- a/manifests/batches/oproofs/s00002-r00008064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008064-n000004",
   "batch_fingerprint": "2818439896c5a2ec7f9479df47efe9d4daf2b38803303d32638abab881356de7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008064-n000004-0000-7ff850b463ed99b5.parquet",
-      "sha256": "7ff850b463ed99b50801d23896194a93f189f87e752167c9e3e7927b18e6ba60",
-      "bytes": 304324,
-      "rows": 13,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008064-n000004-0000-6c1c3d678af6ba28.parquet",
-      "sha256": "6c1c3d678af6ba28a84103c582a1b8e4c33a2ee4601546fdc065f5f2bffe26cf",
-      "bytes": 43501,
-      "rows": 3,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008065.lean\",\"7583aeab207a3f00abba99e05aca027964b93c5f60209a294f8f2e372e22a20e\",0,\"lean_workbook_42999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008066.lean\",\"0a55752a5cd257dfeb790b428c83181c4ceb2fcdbb099b0e73391235d5a6c471\",0,\"lean_workbook_plus_39801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008067.lean\",\"b4c799fffd08981952a38d15d50f1ddf8256eba04d4c15799a556148abe1a7ea\",0,\"lean_workbook_plus_49322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304324,
+      "path": "data/train/p94/oproofs-s00002-r00008064-n000004-0000-7ff850b463ed99b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7ff850b463ed99b50801d23896194a93f189f87e752167c9e3e7927b18e6ba60"
+    },
+    {
+      "bytes": 43501,
+      "path": "data/dev/p94/oproofs-s00002-r00008064-n000004-0000-6c1c3d678af6ba28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6c1c3d678af6ba28a84103c582a1b8e4c33a2ee4601546fdc065f5f2bffe26cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008068-n000004.json b/manifests/batches/oproofs/s00002-r00008068-n000004.json
index d45ddfcca08f53c4d23498e31a47d134226090a8..8cc281fd5cc4b8ba0343fd05eba179305bd6569e 100644
--- a/manifests/batches/oproofs/s00002-r00008068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008068-n000004",
   "batch_fingerprint": "fa238fcda1092481e1735b247710fc4bd171d927b435ab4f115f83cef51dab41",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8068",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8069",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8070",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8071"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008068.lean\",\"3bea79971f9dea7b9bee965c38ee4077e33ae69a108d4c60c88b48897ebe0cdd\",0,\"lean_workbook_plus_19759\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008069.lean\",\"2769ad3b6f1fbcbaaa09267011ee425f9f6d4ae5ae295509b06b750b661a0cb4\",0,\"lean_workbook_plus_38204\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008070.lean\",\"b15a6fc03bd067473b34002252dcd6d2c3610ff57ececfaefae811d731306258\",0,\"lean_workbook_plus_26263\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008071.lean\",\"bd1b113ca5ff297e7968952b2c78bde383e461aa6c306879f56092c06be154f8\",0,\"lean_workbook_plus_27989\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008068-n000004-0000-64745718d1534c94.parquet",
-      "sha256": "64745718d1534c94f4aa7a0362d239ff2a49c1abe981bce5e4cac1a2c87d5f6a",
       "bytes": 1477000,
+      "path": "data/train/pb2/oproofs-s00002-r00008068-n000004-0000-64745718d1534c94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
+      "sha256": "64745718d1534c94f4aa7a0362d239ff2a49c1abe981bce5e4cac1a2c87d5f6a"
     },
     {
-      "path": "data/train/oproofs-s00002-r00008068-n000004-0001-9050e52c1d812aa1.parquet",
-      "sha256": "9050e52c1d812aa18ee4ade84fa1e3c1aef6233793ab3e9a6a7a49ad8d4fa18f",
       "bytes": 58660,
+      "path": "data/train/pb2/oproofs-s00002-r00008068-n000004-0001-9050e52c1d812aa1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
+      "sha256": "9050e52c1d812aa18ee4ade84fa1e3c1aef6233793ab3e9a6a7a49ad8d4fa18f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008068-n000004-0000-9e00e606a09a48f8.parquet",
-      "sha256": "9e00e606a09a48f81eeea95166936b93acf1da2346c50a7e2ff88d7f69ec0b8d",
       "bytes": 292138,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00008068-n000004-0000-9e00e606a09a48f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
+      "sha256": "9e00e606a09a48f81eeea95166936b93acf1da2346c50a7e2ff88d7f69ec0b8d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8068",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8069",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8070",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8071"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008068.lean\",\"3bea79971f9dea7b9bee965c38ee4077e33ae69a108d4c60c88b48897ebe0cdd\",0,\"lean_workbook_plus_19759\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008069.lean\",\"2769ad3b6f1fbcbaaa09267011ee425f9f6d4ae5ae295509b06b750b661a0cb4\",0,\"lean_workbook_plus_38204\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008070.lean\",\"b15a6fc03bd067473b34002252dcd6d2c3610ff57ececfaefae811d731306258\",0,\"lean_workbook_plus_26263\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008071.lean\",\"bd1b113ca5ff297e7968952b2c78bde383e461aa6c306879f56092c06be154f8\",0,\"lean_workbook_plus_27989\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008072-n000004.json b/manifests/batches/oproofs/s00002-r00008072-n000004.json
index 0174ec15bbeb13a072caf84f0d12691fadf871c6..f36f32f0801971fd2127000a92003ef4debbbafe 100644
--- a/manifests/batches/oproofs/s00002-r00008072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008072-n000004",
   "batch_fingerprint": "88e64c227ad68234e4a180206e108ce6027c5843d0bbc8ee4a265e850eb167f2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008072-n000004-0000-5325fe5edeb90521.parquet",
-      "sha256": "5325fe5edeb905219eb17ddf3c5b140f279f687dbcde38eafb723f62bd38684c",
-      "bytes": 654710,
-      "rows": 18,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008073.lean\",\"46379e480af419aba6db5274d276635f7f3984530a62189dc8bb505f5d468055\",0,\"lean_workbook_plus_70412\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008074.lean\",\"e1332906f41c951a9a5f051e0944143902f0f21a4cad018a2f66f1bdc2211bf5\",0,\"lean_workbook_plus_17842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008075.lean\",\"455ae123623eb58c834e32426bfa56920a1c1071a931b85a2e9b18e346e878b5\",0,\"lean_workbook_plus_34121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 654710,
+      "path": "data/train/pbb/oproofs-s00002-r00008072-n000004-0000-5325fe5edeb90521.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5325fe5edeb905219eb17ddf3c5b140f279f687dbcde38eafb723f62bd38684c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008076-n000004.json b/manifests/batches/oproofs/s00002-r00008076-n000004.json
index 1a37dbadbd30f42ed616f82a5f30a851197956b7..cd4bdd9be46ea3a3e0a6d29354e1976c494d431c 100644
--- a/manifests/batches/oproofs/s00002-r00008076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008076-n000004",
   "batch_fingerprint": "61ab1d915b002d368521c9b8fbe813cb88dae58d79179ec85bf7d31d8a8e49cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008076-n000004-0000-f3b24fa219725c88.parquet",
-      "sha256": "f3b24fa219725c8842921e1a05dbe0cbfb83d8a9d93ff5509a0c16b80544d7f1",
-      "bytes": 170398,
-      "rows": 10,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008076-n000004-0000-096e8bafd96b54c2.parquet",
-      "sha256": "096e8bafd96b54c26feb7a7924a3b5b022b8708d53344fa4833b27a9016c6488",
-      "bytes": 132281,
-      "rows": 2,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008077.lean\",\"5b7a05fec43fe610f90215f22a8dd814e7efdaf3f6f9ddf157bff2ee9c3cdf19\",0,\"lean_workbook_plus_36328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008078.lean\",\"47cf9d053cb24d86706d50a5a590633c320569ad395d7b516fc1b96c0eec5588\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008079.lean\",\"4ba0761cb7ad3f413a7df47000b4eeabff770d5c0eeca6685f211096d42821d8\",0,\"lean_workbook_47615\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170398,
+      "path": "data/train/pf3/oproofs-s00002-r00008076-n000004-0000-f3b24fa219725c88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f3b24fa219725c8842921e1a05dbe0cbfb83d8a9d93ff5509a0c16b80544d7f1"
+    },
+    {
+      "bytes": 132281,
+      "path": "data/internal_test/pf3/oproofs-s00002-r00008076-n000004-0000-096e8bafd96b54c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "096e8bafd96b54c26feb7a7924a3b5b022b8708d53344fa4833b27a9016c6488"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008080-n000004.json b/manifests/batches/oproofs/s00002-r00008080-n000004.json
index 8d488c7ae3d0a1af09ffd32100e463f607684bc7..f665563cdc176cc1b222150d471393305429ab87 100644
--- a/manifests/batches/oproofs/s00002-r00008080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008080-n000004",
   "batch_fingerprint": "de46ab38eeb0755ace73e6a332e61841ce8ecaf74ac30dc76fe8592675e4dec4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008080-n000004-0000-302382f7ad4643ea.parquet",
-      "sha256": "302382f7ad4643eaf44a7e52032fe31e6c7469fa60e82e4be13747ffbf55117b",
-      "bytes": 707750,
-      "rows": 29,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008081.lean\",\"ae4c0e59d67f384613187dbaaef61c99826fe6c9b6fdd051654e143bec68ad26\",0,\"lean_workbook_plus_6882\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008082.lean\",\"ba5dc5842fafe47e6882116a3ffb4e8bf8d37ed3bcc93f77abcbf1e56d4f3ba3\",0,\"min_max_abs_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008083.lean\",\"d02db3531bfceaccbf962ee4c0f33c894953dec399a03f06d244ced402b204e0\",0,\"lean_workbook_plus_70695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 707750,
+      "path": "data/train/pb6/oproofs-s00002-r00008080-n000004-0000-302382f7ad4643ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "302382f7ad4643eaf44a7e52032fe31e6c7469fa60e82e4be13747ffbf55117b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008084-n000004.json b/manifests/batches/oproofs/s00002-r00008084-n000004.json
index d129f2141d825590efa0b32e4db32390c9077231..b847b77795783c21809477781d1841b72d4fc050 100644
--- a/manifests/batches/oproofs/s00002-r00008084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008084-n000004",
   "batch_fingerprint": "dad6a66a9413d260dff8132c02f6a430c4200078814338a10a594b2984f407c5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008084-n000004-0000-977c6a901c8a52e7.parquet",
-      "sha256": "977c6a901c8a52e75d1671e240ba3440ada1f623bae9bff55c90e32ee6acc5eb",
-      "bytes": 231057,
-      "rows": 18,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8085",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008085.lean\",\"e95faa7ff6ebf903f3deafcd884ecf5e96dff7aca2fd5ac3eac7c39015f93254\",0,\"lean_workbook_57122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008086.lean\",\"573854d37b52ecb0ec43eed20bb0ad25227aa9b1e78fd164e9aed375b7061628\",0,\"lean_workbook_plus_79756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008087.lean\",\"c6b58d6d38c7041f02fa5d7746f36d98384a2fb5b2dd05b751463d6c69554802\",0,\"shares_ratio_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231057,
+      "path": "data/train/pd8/oproofs-s00002-r00008084-n000004-0000-977c6a901c8a52e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "977c6a901c8a52e75d1671e240ba3440ada1f623bae9bff55c90e32ee6acc5eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008088-n000004.json b/manifests/batches/oproofs/s00002-r00008088-n000004.json
index 6201aa7dfee9f241ba7eb541c5b1b990fac019df..29e1f58d4a517bdabe4898ea7af8132b0ed047a3 100644
--- a/manifests/batches/oproofs/s00002-r00008088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008088-n000004",
   "batch_fingerprint": "41148e360c0824bac3c9a760796ca257f7c2f4fe9173b2408252b59bbf699fc9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008088-n000004-0000-80293c679d181d6b.parquet",
-      "sha256": "80293c679d181d6b41beb47a91afabf161257b55f15d9777d8404551eccbee4e",
-      "bytes": 140928,
-      "rows": 14,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008088-n000004-0000-86717ab28ea9c009.parquet",
-      "sha256": "86717ab28ea9c009af026158a9a694a1bbee8963aa7c3d8fa91d6e0f65e1fbc2",
-      "bytes": 159506,
-      "rows": 4,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008089.lean\",\"6d8570bf02b8ab6731487201e45e5323f288ee0c3baeb9d309026b4e2d78396c\",0,\"lean_workbook_plus_47563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008090.lean\",\"784b3702a33a608cde98e38914f30c56f0dc97f8644fb23ccc13fa7005eb93dc\",0,\"lean_workbook_plus_15182\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008091.lean\",\"1c9bcb09181c53f199b40417e15e6ed365d93a2d4700ee883b81d67acafb7ec2\",0,\"lean_workbook_plus_27612\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140928,
+      "path": "data/train/pf7/oproofs-s00002-r00008088-n000004-0000-80293c679d181d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "80293c679d181d6b41beb47a91afabf161257b55f15d9777d8404551eccbee4e"
+    },
+    {
+      "bytes": 159506,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00008088-n000004-0000-86717ab28ea9c009.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "86717ab28ea9c009af026158a9a694a1bbee8963aa7c3d8fa91d6e0f65e1fbc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008092-n000004.json b/manifests/batches/oproofs/s00002-r00008092-n000004.json
index 7e4d8ef160dd49170f7b88c906f3b3db58581459..721a1e2eb23fd0ea33caf94721b2eb3cf1935fba 100644
--- a/manifests/batches/oproofs/s00002-r00008092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008092-n000004",
   "batch_fingerprint": "4e3caf555b316bb3a6f1472889f26fb45d3f074e8967291de88580e12b0eb293",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008092-n000004-0000-77890ec1c150baa0.parquet",
-      "sha256": "77890ec1c150baa0973f5775112a638707b64774614bdfda7e9d62c0d3c4f91f",
-      "bytes": 203489,
-      "rows": 11,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008093.lean\",\"627d45771888ad0ec731b13c3ef39fd5ddee565f58b927952f637f2d17ebfd2d\",0,\"lean_workbook_plus_42386\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008094.lean\",\"7c02c3d66ac7593ab014dc35e3005859e6ca53d29dd90b34120c2b9a41f2d632\",0,\"lean_workbook_plus_59232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008095.lean\",\"0f3a59f8fc543dbc5b3302c297a7a13f72ac0bbc465ba7e02b0ddefaed872f64\",0,\"lean_workbook_31638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 203489,
+      "path": "data/train/p06/oproofs-s00002-r00008092-n000004-0000-77890ec1c150baa0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "77890ec1c150baa0973f5775112a638707b64774614bdfda7e9d62c0d3c4f91f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008096-n000004.json b/manifests/batches/oproofs/s00002-r00008096-n000004.json
index 08a4836984918b06e944f575c09927229001d8dc..d14e262fb2174199e622f829866a4efa67fc680e 100644
--- a/manifests/batches/oproofs/s00002-r00008096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008096-n000004",
   "batch_fingerprint": "5be7d8ebc4fe10d0e925d372f7d5b1d153f42a531db2fc0213f46fc946f86f2f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008096-n000004-0000-ce7a93c9e10fd4da.parquet",
-      "sha256": "ce7a93c9e10fd4daf1aeea3a393436370b955754f6f610766a2c7d1cc0147381",
-      "bytes": 164851,
-      "rows": 15,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008097.lean\",\"3f5ad7019d0264f366039cb673b16123802fa8115987cef038c7d8f575413f3f\",0,\"lean_workbook_20796\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008098.lean\",\"aa5d80fa1b746188efac76bea784131fa373feac7f28140d33387cc6bb801d83\",0,\"lean_workbook_46198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008099.lean\",\"9939cc98e3a4f9621e32cf192e138a487c6543ece6517a1ee7aa3a0609696ae6\",0,\"lean_workbook_13121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164851,
+      "path": "data/train/p3c/oproofs-s00002-r00008096-n000004-0000-ce7a93c9e10fd4da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ce7a93c9e10fd4daf1aeea3a393436370b955754f6f610766a2c7d1cc0147381"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008100-n000004.json b/manifests/batches/oproofs/s00002-r00008100-n000004.json
index 248169edf41786eb527ee82ab3730303fa8eb1c7..4f71342ef8bfbfd454d793c09b782f8bb09a466f 100644
--- a/manifests/batches/oproofs/s00002-r00008100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008100-n000004",
   "batch_fingerprint": "301218e790054b95acca54f521f32d7b161e49626e98b9bc28a2689216255ba5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008100-n000004-0000-238ee06ed27a51cc.parquet",
-      "sha256": "238ee06ed27a51cc8478a2c545f05fb21a95b226deee3a01486da662049a8829",
-      "bytes": 395368,
-      "rows": 22,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008101.lean\",\"15913e9c29380e5d354dd4f8913c83942273c42dfaf1b7d364dc7ff8521481d0\",0,\"lean_workbook_43817\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008102.lean\",\"19bb2c04ff2cfb6726f0a5f47eebdeb55e367cbca919bcc2ef4048d609d6c484\",0,\"lean_workbook_plus_61725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008103.lean\",\"6f37bc592d2ccaee7b444550ff89cb64ce963e7fae9e38e8b305573dc86f3d51\",0,\"lean_workbook_3728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395368,
+      "path": "data/train/pc8/oproofs-s00002-r00008100-n000004-0000-238ee06ed27a51cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "238ee06ed27a51cc8478a2c545f05fb21a95b226deee3a01486da662049a8829"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008104-n000004.json b/manifests/batches/oproofs/s00002-r00008104-n000004.json
index 8cb0993ed7ab9187e30990d3ff7d23a7154b4116..6f06d6028de0e502c00580712815cb47ed8b98d0 100644
--- a/manifests/batches/oproofs/s00002-r00008104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008104-n000004",
   "batch_fingerprint": "19e734469c8baec29b816b28b7d2bd5ef9093f08b735909dd129bd4ab531216e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008104-n000004-0000-988407286da72302.parquet",
-      "sha256": "988407286da72302edf7ec5bfd8de419ddac3dc780aa51f11a362806c952c64b",
-      "bytes": 380016,
-      "rows": 19,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008105.lean\",\"3e89d13c7e2dcc68e6cfd28c5b56c705752d150ae17b08bf2fcb80859b6eedb4\",0,\"set_intersection_complement_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008106.lean\",\"c62002ba1941dc7bb10e0a0930d0e62bd139670dfce11eb0bde3fa6c16d330ef\",0,\"lean_workbook_plus_79610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008107.lean\",\"a7efeae23fbe167d8a8209425e9856fade4559b0f2e71415275b874803ed9099\",0,\"lean_workbook_plus_63335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380016,
+      "path": "data/train/p5d/oproofs-s00002-r00008104-n000004-0000-988407286da72302.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "988407286da72302edf7ec5bfd8de419ddac3dc780aa51f11a362806c952c64b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008108-n000004.json b/manifests/batches/oproofs/s00002-r00008108-n000004.json
index 08a6991339d26a28f76a55d6463a162136a938c2..f4fff237ddd2e6f556100a6427aa95e85f4a93e1 100644
--- a/manifests/batches/oproofs/s00002-r00008108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008108-n000004",
   "batch_fingerprint": "d132cfab54d6b11549e9053c11c2b0f9dd4d66613542d39246fb9b1443555d30",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008108-n000004-0000-704173917197523a.parquet",
-      "sha256": "704173917197523a54ef34fa691d73dd83ed213f9c6027342bb77811a7a7090d",
-      "bytes": 151453,
-      "rows": 22,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008109.lean\",\"5093b39ccdf3efefc8821710c3582aa5c52272964e83b95c2acd50489a935ad9\",0,\"lean_workbook_plus_12222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008110.lean\",\"df1e73c8b30f5662784270a8b99da547115948d803bf7322f4c451d38359936f\",0,\"lean_workbook_plus_63648\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008111.lean\",\"ebf058c63fa2d20e05312e867a86c999154083fd205a945b512857db45f2d276\",0,\"lean_workbook_plus_78414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151453,
+      "path": "data/train/paf/oproofs-s00002-r00008108-n000004-0000-704173917197523a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "704173917197523a54ef34fa691d73dd83ed213f9c6027342bb77811a7a7090d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008112-n000004.json b/manifests/batches/oproofs/s00002-r00008112-n000004.json
index 4bcdd24c1e15199ba3d8ad276be4201be642e6cf..a518a083b8664a10316d4fd4a61672d5466d6622 100644
--- a/manifests/batches/oproofs/s00002-r00008112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008112-n000004",
   "batch_fingerprint": "8d476c65cd110d2b9d53306b30d11dc2c44e1098568f1146f06d03708d34559c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008112-n000004-0000-0cbc6b0dd030a09a.parquet",
-      "sha256": "0cbc6b0dd030a09a453f487c87f716fd777f96ed0befab876bc3c812c549d5bd",
-      "bytes": 617187,
-      "rows": 20,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008112-n000004-0001-e390eab879f15208.parquet",
-      "sha256": "e390eab879f15208c25b87e0bff6d89115b2353e2d566a8e0c77af7867bd599c",
-      "bytes": 197597,
-      "rows": 2,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008113.lean\",\"235e4a83fb78f65291d1fbc3ec0286cc247cd6f8da03289471ec4e9e6fb989f4\",0,\"lean_workbook_plus_59005\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008114.lean\",\"f98071a80f0515569cf430a6d01c6c22b598653d8c236ffc8708152956093d35\",0,\"lean_workbook_plus_30200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008115.lean\",\"0c040ddf3fe93e602c574787aa0b0357e9b941aa52a5a60b993e96b94be03625\",0,\"lean_workbook_22819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617187,
+      "path": "data/train/p7b/oproofs-s00002-r00008112-n000004-0000-0cbc6b0dd030a09a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "0cbc6b0dd030a09a453f487c87f716fd777f96ed0befab876bc3c812c549d5bd"
+    },
+    {
+      "bytes": 197597,
+      "path": "data/train/p7b/oproofs-s00002-r00008112-n000004-0001-e390eab879f15208.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e390eab879f15208c25b87e0bff6d89115b2353e2d566a8e0c77af7867bd599c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008116-n000004.json b/manifests/batches/oproofs/s00002-r00008116-n000004.json
index 2a5b7ab61d6af2634d0fba101f0520b7326e3b9d..dde3bd6805b086a4513627b33b49b0403a0acd68 100644
--- a/manifests/batches/oproofs/s00002-r00008116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008116-n000004",
   "batch_fingerprint": "c07c1021ad055930275b7c20bdbe5e808358c7b32abed7e613d87fe781963bf8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008116-n000004-0000-bef701a441fb8455.parquet",
-      "sha256": "bef701a441fb845594f06d57455773154e503e5c83df32e217c91ac1c4f9e4fe",
-      "bytes": 787417,
-      "rows": 8,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008116-n000004-0001-f10dc6f2353de031.parquet",
-      "sha256": "f10dc6f2353de0313cbafbfb4057cde6ebfda5b7f90c27ce8983f6bd03723374",
-      "bytes": 266098,
-      "rows": 10,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008117.lean\",\"ba722d5727732b83955b074ca5adc83c41a98656dbd47b37aaf13ae78bc82b5c\",0,\"lean_workbook_plus_71896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008118.lean\",\"c4e9c430ae47b37420ac211e499ecf05c76575c15977333bb41f8b21194136bc\",0,\"lean_workbook_plus_69126\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008119.lean\",\"8faa51ad0680128dbbd841f6fbba28074eef2cf8b9c1087f18ac7eea134def84\",0,\"lean_workbook_plus_67303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 787417,
+      "path": "data/train/pf4/oproofs-s00002-r00008116-n000004-0000-bef701a441fb8455.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bef701a441fb845594f06d57455773154e503e5c83df32e217c91ac1c4f9e4fe"
+    },
+    {
+      "bytes": 266098,
+      "path": "data/train/pf4/oproofs-s00002-r00008116-n000004-0001-f10dc6f2353de031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f10dc6f2353de0313cbafbfb4057cde6ebfda5b7f90c27ce8983f6bd03723374"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008120-n000004.json b/manifests/batches/oproofs/s00002-r00008120-n000004.json
index 0a7519ee048f701181079904d924200a896b8e9d..befa3b096e444c516305390a8d5f62bc11664837 100644
--- a/manifests/batches/oproofs/s00002-r00008120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008120-n000004",
   "batch_fingerprint": "90df2165ff7f984dbe8225f218847769b436f65f943cc8fa5fd083f18da9ecdd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008120-n000004-0000-3549990b83e19d2d.parquet",
-      "sha256": "3549990b83e19d2d727b47c49411dc88df01edeffcf411d46bb79dc504a6f409",
-      "bytes": 383638,
-      "rows": 18,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008121.lean\",\"297333932f7f1787ec4ec5cb797492db5979b1233aff4fc756711b672d1b8332\",0,\"lean_workbook_20323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008122.lean\",\"38c8605bcc0f15b792701ac58bae189d87d0694d8c31e8509fe90319c32e429a\",0,\"lean_workbook_21277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008123.lean\",\"baa3b09f2cb08ba15abfae45e05ea905a1322437abd912e16f3655eefea04327\",0,\"lean_workbook_plus_40720\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 383638,
+      "path": "data/train/p32/oproofs-s00002-r00008120-n000004-0000-3549990b83e19d2d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3549990b83e19d2d727b47c49411dc88df01edeffcf411d46bb79dc504a6f409"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008124-n000004.json b/manifests/batches/oproofs/s00002-r00008124-n000004.json
index d0dac63e8edb33229eb5fe0a2d9a0a7573d3b79c..2974ffaa497d5b6bcd154141cd3cb1391c8d241d 100644
--- a/manifests/batches/oproofs/s00002-r00008124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008124-n000004",
   "batch_fingerprint": "da9ad704e82f39752e19574d967291ed9f1713946923241ebf67185a0e67b5cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008124-n000004-0000-05810c14436e21ba.parquet",
-      "sha256": "05810c14436e21ba68acda8e6c60f66ada7a211dba3038ea29f239fb69cb0ced",
-      "bytes": 1266087,
-      "rows": 25,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008124-n000004-0001-fe51574342d62a3e.parquet",
-      "sha256": "fe51574342d62a3e1e4a679ef4da01fa1ed5352944b033c03dc207b3384c5767",
-      "bytes": 671586,
-      "rows": 8,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008125.lean\",\"6dfa4306e7efe89e54161bf693df6f7dcb09027b6d2d94307f23cf4ed1b148f9\",0,\"lean_workbook_plus_56600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008126.lean\",\"c87e8b0097ab40ef03262ab1c40a0483a4a4bd80e812c0566b2bcf314802b04a\",0,\"lean_workbook_plus_6116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008127.lean\",\"f66f1c7abf45f5249bfce566b05238689abe1beef84d53be2fd1c1b0c2312c3e\",0,\"largest_fraction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1266087,
+      "path": "data/train/pee/oproofs-s00002-r00008124-n000004-0000-05810c14436e21ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "05810c14436e21ba68acda8e6c60f66ada7a211dba3038ea29f239fb69cb0ced"
+    },
+    {
+      "bytes": 671586,
+      "path": "data/train/pee/oproofs-s00002-r00008124-n000004-0001-fe51574342d62a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "fe51574342d62a3e1e4a679ef4da01fa1ed5352944b033c03dc207b3384c5767"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008128-n000004.json b/manifests/batches/oproofs/s00002-r00008128-n000004.json
index 122e5b7904483efead43341b3242ccff13ff0b24..0954eeb06bc45d65c86f04315750e4b8a5f6a377 100644
--- a/manifests/batches/oproofs/s00002-r00008128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008128-n000004",
   "batch_fingerprint": "01c1a67a46fafa99f3602e90abd0d8a18cec0ec45d5145be7d723ba3afa4793b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8128",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8129",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8130",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8131"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008128.lean\",\"f2fa1e7562c9588e6225e0a502b9b2869777aa90ebe7325a1ba7caf68f4e01fc\",0,\"lean_workbook_plus_67328\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008129.lean\",\"76756487681ae69a515efd99411e29653d3049e4099d024b503a399d00446481\",0,\"lean_workbook_plus_52001\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008130.lean\",\"d74110826c29f57ea0192ff88ac4e6fb6a03212341c32da03685e8937bcf63a6\",0,\"lean_workbook_plus_53514\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008131.lean\",\"5787789e4010fd15c4e884947eb1ae7a7b04a37e9a1d386d45b70846a58d1223\",0,\"lean_workbook_plus_30293\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008128-n000004-0000-2e7366dc04644caf.parquet",
-      "sha256": "2e7366dc04644caff25f4dc9b0d054e604b0e6e2da5ce05a714dca46a9e97659",
       "bytes": 154334,
+      "path": "data/train/p3b/oproofs-s00002-r00008128-n000004-0000-2e7366dc04644caf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
+      "sha256": "2e7366dc04644caff25f4dc9b0d054e604b0e6e2da5ce05a714dca46a9e97659"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008128-n000004-0000-5791c91c0b7e726c.parquet",
-      "sha256": "5791c91c0b7e726cb6d63d08f10ec44154ab01483963ad4734eb19f8ee128ef6",
       "bytes": 47259,
+      "path": "data/dev/p3b/oproofs-s00002-r00008128-n000004-0000-5791c91c0b7e726c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
+      "sha256": "5791c91c0b7e726cb6d63d08f10ec44154ab01483963ad4734eb19f8ee128ef6"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008128-n000004-0000-97ac1c6effb8f92c.parquet",
-      "sha256": "97ac1c6effb8f92c521b9ef23815f088053dc46cb50faebf1d9bf420f9d66bd0",
       "bytes": 81275,
+      "path": "data/internal_test/p3b/oproofs-s00002-r00008128-n000004-0000-97ac1c6effb8f92c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
+      "sha256": "97ac1c6effb8f92c521b9ef23815f088053dc46cb50faebf1d9bf420f9d66bd0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8128",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8129",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8130",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8131"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008128.lean\",\"f2fa1e7562c9588e6225e0a502b9b2869777aa90ebe7325a1ba7caf68f4e01fc\",0,\"lean_workbook_plus_67328\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008129.lean\",\"76756487681ae69a515efd99411e29653d3049e4099d024b503a399d00446481\",0,\"lean_workbook_plus_52001\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008130.lean\",\"d74110826c29f57ea0192ff88ac4e6fb6a03212341c32da03685e8937bcf63a6\",0,\"lean_workbook_plus_53514\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008131.lean\",\"5787789e4010fd15c4e884947eb1ae7a7b04a37e9a1d386d45b70846a58d1223\",0,\"lean_workbook_plus_30293\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008132-n000004.json b/manifests/batches/oproofs/s00002-r00008132-n000004.json
index 6c302530bd39aeedf19c8d92ebdd01d7d7d0d5ed..20bbbae78cecc77b74ad5f0009200eab83d7f8fa 100644
--- a/manifests/batches/oproofs/s00002-r00008132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008132-n000004",
   "batch_fingerprint": "54d18f6a0c672a4afbc793433a549bd302741fe500a2a5b07d71a6845bf1cf2f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008132-n000004-0000-e79f0f846a804f0c.parquet",
-      "sha256": "e79f0f846a804f0cde45aabc5c40ed486e12816077e02eed92e0b021973f3231",
-      "bytes": 246873,
-      "rows": 13,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008132-n000004-0000-53c478411ef5bf02.parquet",
-      "sha256": "53c478411ef5bf022f0bffd9fd88d5409eb3d6ee2bd42f2f91dc81476ef2bed1",
-      "bytes": 59972,
-      "rows": 2,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008133.lean\",\"19adfdf3118d18e3459f11c1a9d87982845d6d80e574d10b7c7b46511c2c3ae3\",0,\"lean_workbook_28541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008134.lean\",\"8a975b43e322243f31840d2a8d51319d4d4ae7754bfdf747ec8046218dede042\",0,\"lean_workbook_plus_37463\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008135.lean\",\"98d408b859b171737103be206966189579c7d5ce941521a79f32197cde0e5aed\",0,\"lean_workbook_plus_53590\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246873,
+      "path": "data/train/pc0/oproofs-s00002-r00008132-n000004-0000-e79f0f846a804f0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e79f0f846a804f0cde45aabc5c40ed486e12816077e02eed92e0b021973f3231"
+    },
+    {
+      "bytes": 59972,
+      "path": "data/dev/pc0/oproofs-s00002-r00008132-n000004-0000-53c478411ef5bf02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "53c478411ef5bf022f0bffd9fd88d5409eb3d6ee2bd42f2f91dc81476ef2bed1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008136-n000004.json b/manifests/batches/oproofs/s00002-r00008136-n000004.json
index 2aaea0a10f45ac8622afb4680a3258be546fecce..820330b276b5e12d42ea6031fdbacbeb755a7fd2 100644
--- a/manifests/batches/oproofs/s00002-r00008136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008136-n000004",
   "batch_fingerprint": "6948b3c3e839ace7732eb6b24ec5a7e2465cbf26161d1382999ee31637d4aef6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008136-n000004-0000-a325a05b497bdc0a.parquet",
-      "sha256": "a325a05b497bdc0aaaa41bfd76d471be36094e76ff203dec92c975c1c649d0ae",
-      "bytes": 448641,
-      "rows": 18,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008136-n000004-0000-b2ff57334793ffe1.parquet",
-      "sha256": "b2ff57334793ffe15aabca8ad0e10035ae2d49381d935db540c75b8b37e5bde1",
-      "bytes": 141946,
-      "rows": 4,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008137.lean\",\"5edd47873d45feadcaba1aff6b1dea1461f75ecf388f2a0d2a0b8f26291b9f15\",0,\"lean_workbook_plus_34212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008138.lean\",\"6db632b6e4e0c05e6312bdae56b84f97cc4174b21dab08da958677df62b0fcf5\",0,\"lean_workbook_plus_12046\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008139.lean\",\"3951f5fe9b145eedb54265f7fe9cb3fd5a109d309292dfe6df030cd677da0763\",0,\"lean_workbook_plus_23816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 448641,
+      "path": "data/train/p3e/oproofs-s00002-r00008136-n000004-0000-a325a05b497bdc0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a325a05b497bdc0aaaa41bfd76d471be36094e76ff203dec92c975c1c649d0ae"
+    },
+    {
+      "bytes": 141946,
+      "path": "data/dev/p3e/oproofs-s00002-r00008136-n000004-0000-b2ff57334793ffe1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b2ff57334793ffe15aabca8ad0e10035ae2d49381d935db540c75b8b37e5bde1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008140-n000004.json b/manifests/batches/oproofs/s00002-r00008140-n000004.json
index 6b858725ceacfd5d6e09dd02eb25f601c904c963..9f66088e6cfbd1059607d49e2d52ceca4ccfda13 100644
--- a/manifests/batches/oproofs/s00002-r00008140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008140-n000004",
   "batch_fingerprint": "400b1114e0b5567de699013f7b3610fe1c8961dff812e7b8cdebd1eb315237b9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008140-n000004-0000-216849a2f41b5844.parquet",
-      "sha256": "216849a2f41b58449d77a86b1f5af0a8053193f3c472bf6c6995cf9ac87713cf",
-      "bytes": 222146,
-      "rows": 16,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008140-n000004-0000-86239feef2ef4716.parquet",
-      "sha256": "86239feef2ef47166c0ec4e46a06ccc56e58c7a2a406feed61e46c9d904e8600",
-      "bytes": 1005313,
-      "rows": 8,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008141.lean\",\"82ddedabd5a53991ad8b2f3816a823b02858dbf08d6ff6ec182213254415bd6e\",0,\"lean_workbook_plus_35956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008142.lean\",\"b3259f45859109484f673e83dba813dd879671d7c120f9b5befef662ea366086\",0,\"lean_workbook_plus_75533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008143.lean\",\"3b6af72b55b3daa658d14414cb6380f90386c3e1ef85d45082bdd58ce69ad6a2\",0,\"lean_workbook_plus_62978\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222146,
+      "path": "data/train/p54/oproofs-s00002-r00008140-n000004-0000-216849a2f41b5844.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "216849a2f41b58449d77a86b1f5af0a8053193f3c472bf6c6995cf9ac87713cf"
+    },
+    {
+      "bytes": 1005313,
+      "path": "data/internal_test/p54/oproofs-s00002-r00008140-n000004-0000-86239feef2ef4716.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "86239feef2ef47166c0ec4e46a06ccc56e58c7a2a406feed61e46c9d904e8600"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008144-n000004.json b/manifests/batches/oproofs/s00002-r00008144-n000004.json
index 9f9590cca2a4f538dbf3f277ad0a339906e00fcb..5f568fc4e7b0fa1b916ae775520f894735439211 100644
--- a/manifests/batches/oproofs/s00002-r00008144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008144-n000004",
   "batch_fingerprint": "978040880b05119fe774dbe0cc3be26659d47c6d596d0e1510e89ba69685d765",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008144-n000004-0000-405e4320c3a085b5.parquet",
-      "sha256": "405e4320c3a085b5ca8ca1f40a15d4d0b3c4b134dcff69436b78e99d884fcefc",
-      "bytes": 229313,
-      "rows": 19,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008145.lean\",\"71270e8654209545c5985926b0c13b8ad7a49a52172d3bed2a1cc8ab6b22f85b\",0,\"lean_workbook_15279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008146.lean\",\"30bf9d44c9d26fcaddd17d3e98636afc7fe9b0ab1ac267b7ac66139f36d0602e\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008147.lean\",\"010495b251ff2400fec9f92ad33c67436d98d73d0a724518575e130a657fc5c8\",0,\"lean_workbook_plus_24443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229313,
+      "path": "data/train/pd7/oproofs-s00002-r00008144-n000004-0000-405e4320c3a085b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "405e4320c3a085b5ca8ca1f40a15d4d0b3c4b134dcff69436b78e99d884fcefc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008148-n000004.json b/manifests/batches/oproofs/s00002-r00008148-n000004.json
index b78b13b078cd88cafb4a2ec44a79be173e1f7db5..258dca36ff1805eaace992d39b6ee2cdf8e075f0 100644
--- a/manifests/batches/oproofs/s00002-r00008148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008148-n000004",
   "batch_fingerprint": "79482690a98538a0e78c6b1479ccaf8da6e7bd64e2d166066369c40ef0cdab06",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008148-n000004-0000-ebaad03a8b18d9bb.parquet",
-      "sha256": "ebaad03a8b18d9bb97ff9efbec197d73d91501e3046cd8486e7a06217a918ecc",
-      "bytes": 87403,
-      "rows": 14,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008149.lean\",\"49d1587f187040108b745ed1ee6e2f78b37e7e4b4590228b903dfc31ccccfb33\",0,\"lean_workbook_plus_62054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008150.lean\",\"f64af641e0f6df532b8186a91b6798ebb5444ee167d49eff3f9130eb7f123e87\",0,\"lean_workbook_39691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008151.lean\",\"9464e5d94a76d3fbf29f7fffaf41b8f394ad77cbb56546e79682408b959d96d8\",0,\"lean_workbook_plus_63483\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87403,
+      "path": "data/train/p7b/oproofs-s00002-r00008148-n000004-0000-ebaad03a8b18d9bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ebaad03a8b18d9bb97ff9efbec197d73d91501e3046cd8486e7a06217a918ecc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008152-n000004.json b/manifests/batches/oproofs/s00002-r00008152-n000004.json
index 8c41f84988499d8a75b0694e9ee803b8ccd413f8..b71629ab310d6eb790edeb6e5f49931569c83483 100644
--- a/manifests/batches/oproofs/s00002-r00008152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008152-n000004",
   "batch_fingerprint": "0e7adb6c01a578a786a01b5949c545acc896679ced150c3b4aada20210374479",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008152-n000004-0000-389bc03825321b5c.parquet",
-      "sha256": "389bc03825321b5c1d21971476d2854448935deb08d7b339378c6bccdbf8097e",
-      "bytes": 82424,
-      "rows": 11,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008153.lean\",\"61604458601680e90c3644f0f37ec7d63bb0a74a4d1f7eb5d5ee922ca4febc7f\",0,\"lean_workbook_plus_67172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008154.lean\",\"350862cf159d7adb22d881600947da3fe3e72af187408508e8156e0972abad13\",0,\"lean_workbook_43762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008155.lean\",\"be4dc81f226f9e62ebba7ef7fe62db705987bda2820d39fcefa70da51169486d\",0,\"lean_workbook_plus_70695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82424,
+      "path": "data/train/p37/oproofs-s00002-r00008152-n000004-0000-389bc03825321b5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "389bc03825321b5c1d21971476d2854448935deb08d7b339378c6bccdbf8097e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008156-n000004.json b/manifests/batches/oproofs/s00002-r00008156-n000004.json
index c547679382c080d1ccb43a9a9a430792aaa5b244..29cbd1a54b1aa764ad7cc8df109b35de2493d6ff 100644
--- a/manifests/batches/oproofs/s00002-r00008156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008156-n000004",
   "batch_fingerprint": "da2e265c20c885d4fa032ffc81ed4216a5c95961e72fc5fc52f57e3bdc38af74",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008156-n000004-0000-f1dd33e5e86162f2.parquet",
-      "sha256": "f1dd33e5e86162f28d08b3e454c8465ed9a774b2f422afe045fdd2ebaa5d61a8",
-      "bytes": 172708,
-      "rows": 16,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008157.lean\",\"ae233e142678e28f512abfba1780fc30374dd2e6f71d3af76e0d26073c4839bf\",0,\"house_remodel_cube_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008158.lean\",\"038c381cc8e46d588218a00003c9ded07c0ff8011b7f06d7c5386162db0cb536\",0,\"lean_workbook_plus_27612\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008159.lean\",\"ed3c639791785e8bd7ba6861aeda1e35e4cdfa6ee413f725f29e746ba64dd140\",0,\"lean_workbook_plus_18823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172708,
+      "path": "data/train/pf0/oproofs-s00002-r00008156-n000004-0000-f1dd33e5e86162f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f1dd33e5e86162f28d08b3e454c8465ed9a774b2f422afe045fdd2ebaa5d61a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008160-n000004.json b/manifests/batches/oproofs/s00002-r00008160-n000004.json
index 3fbccb8cd05f95bdc9c38c2624f5447d08d215ec..10eb269d934da751410c667ecac83062d4166f90 100644
--- a/manifests/batches/oproofs/s00002-r00008160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008160-n000004",
   "batch_fingerprint": "47521ae2060cdd8c90a6276351b839ea72604fe5c89c8c32554f2c0fa227296a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008160-n000004-0000-4e6331820dcdaadf.parquet",
-      "sha256": "4e6331820dcdaadfa9e6fccce733a646d9f6bed5db617d9d50205b7923616ec8",
-      "bytes": 269614,
-      "rows": 19,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008161.lean\",\"f4482dad7a9e201e48f4fe5720295a0aca25b6407946c22146cf255f15099fbf\",0,\"lean_workbook_plus_42386\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008162.lean\",\"26389398f778aaa4d5d1bdba7aa5829713efc8d06a52fe0f0a5056c5bfce492f\",0,\"min_max_abs_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008163.lean\",\"5efed9639736c01c45635790d9458ec44bd84d1120958168d16c89ce52c126f7\",0,\"lean_workbook_plus_76541\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 269614,
+      "path": "data/train/p0f/oproofs-s00002-r00008160-n000004-0000-4e6331820dcdaadf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4e6331820dcdaadfa9e6fccce733a646d9f6bed5db617d9d50205b7923616ec8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008164-n000004.json b/manifests/batches/oproofs/s00002-r00008164-n000004.json
index dbec6c0f41b458adf4655b633d32d313eb130da3..6099d6b1203761caa2b29d5c609a8f062e434dd6 100644
--- a/manifests/batches/oproofs/s00002-r00008164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008164-n000004",
   "batch_fingerprint": "b437e9d9543ae45c8e7b7fe4c6efbf70c13ce03d7bbb0225bf5dcc9063a020dd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008164-n000004-0000-432b115ca821355d.parquet",
-      "sha256": "432b115ca821355d7b046e9534edb04c58502512f6c76dd8e5fd0598aa46be38",
-      "bytes": 250588,
-      "rows": 18,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8165",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008165.lean\",\"2ef7fb152e3a9d7d6d93b31394bc21d0fe563a03b75740572359f7942e6e9b48\",0,\"lean_workbook_12499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008166.lean\",\"8f9fa01792570d9569a7bdbc304eae1f7a1ed9249a69064119c20bc61d551d8d\",0,\"lean_workbook_31638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008167.lean\",\"99e528d18af46a7aad153d61b2f45c72d562b6834072a70fdb8c2f6d7409040a\",0,\"shares_ratio_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250588,
+      "path": "data/train/p53/oproofs-s00002-r00008164-n000004-0000-432b115ca821355d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "432b115ca821355d7b046e9534edb04c58502512f6c76dd8e5fd0598aa46be38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008168-n000004.json b/manifests/batches/oproofs/s00002-r00008168-n000004.json
index bab6a0fa7d5d5d24037adc78041809eabdbab2fd..b0704433019ba4af898ed94002456d8b6352200e 100644
--- a/manifests/batches/oproofs/s00002-r00008168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008168-n000004",
   "batch_fingerprint": "7022d69d49afa154428b2b5b183c40bc79eb405126c52ba8133f5655a87300f2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008168-n000004-0000-17b4f62fb08e7272.parquet",
-      "sha256": "17b4f62fb08e7272562a909df00bbbd6cd0230e7abfd4843d23b8327dbdfce7a",
-      "bytes": 198242,
-      "rows": 14,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008168-n000004-0000-f2ab2371bbff9ceb.parquet",
-      "sha256": "f2ab2371bbff9cebbc3f3120ac50f09587cc70d8f5c50d66c531717ecef98d5c",
-      "bytes": 76051,
-      "rows": 7,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8169",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008169.lean\",\"991923f19b05d9049a27bca804c7bc39655714a5ac0ad2b0ea526413e09ffac9\",0,\"lean_workbook_46198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008170.lean\",\"614ecbea50569849bbb64698f6363c043b3d8a3dc74586577cb2f38f8fb51b36\",0,\"lean_workbook_plus_32411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008171.lean\",\"f754f33ca3acf02d2a74e65e736f57393fbb3c6c6dd63bdb89dbb9a8864b5f17\",0,\"lean_workbook_57122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198242,
+      "path": "data/train/pd3/oproofs-s00002-r00008168-n000004-0000-17b4f62fb08e7272.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "17b4f62fb08e7272562a909df00bbbd6cd0230e7abfd4843d23b8327dbdfce7a"
+    },
+    {
+      "bytes": 76051,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00008168-n000004-0000-f2ab2371bbff9ceb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f2ab2371bbff9cebbc3f3120ac50f09587cc70d8f5c50d66c531717ecef98d5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008172-n000004.json b/manifests/batches/oproofs/s00002-r00008172-n000004.json
index 02c2944b6c18e52e586873f55d5462e5776a0615..e9ce878a2aa266a2f75ccb569f864e21b885d3e0 100644
--- a/manifests/batches/oproofs/s00002-r00008172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008172-n000004",
   "batch_fingerprint": "2262cbcc4a547c1f77df9e4f89642a4535542f719e12339a1a29b759df3bfef1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008172-n000004-0000-4283d54021e44dd6.parquet",
-      "sha256": "4283d54021e44dd6028b5bf02ae4779158e7eaf4e52baadfe8298a8ab3a2e2f8",
-      "bytes": 137029,
-      "rows": 11,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008173.lean\",\"e6325f2f3656fb3b35c518b69d6c42e61afa1050955ac3cac2eff8787f443fab\",0,\"lean_workbook_plus_14729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008174.lean\",\"9957006f804faaf0c86a75f242b3318a908b85919d0907bbb8fc3db643f1481e\",0,\"lean_workbook_plus_79756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008175.lean\",\"701d76c3d2a4445e3e5b9b5343f844596919e15c25e889d31d753ba4a6cc7cb3\",0,\"lean_workbook_3728\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137029,
+      "path": "data/train/pc6/oproofs-s00002-r00008172-n000004-0000-4283d54021e44dd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4283d54021e44dd6028b5bf02ae4779158e7eaf4e52baadfe8298a8ab3a2e2f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008176-n000004.json b/manifests/batches/oproofs/s00002-r00008176-n000004.json
index 31a718dc487e319f0e419879d1730713fa322b9e..152dc88065a9df084690d58c63df66659a334ae7 100644
--- a/manifests/batches/oproofs/s00002-r00008176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008176-n000004",
   "batch_fingerprint": "8903a3de3447a81d256873c7fc2124d8ddb362a16fa5782bff05b4ce814f120a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008176-n000004-0000-35f64bc5f684d8d4.parquet",
-      "sha256": "35f64bc5f684d8d4086a243cc4f759d069f022e04375e146692d2014f7e28f8b",
-      "bytes": 495803,
-      "rows": 24,
-      "revision": "196ee156a02a788a408c5bd2f2c05739dd02711e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8177",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008177.lean\",\"56889b16be5cfdcea140abb8ef066c71d844f19a8504fd800277255fbd44d008\",0,\"lean_workbook_43817\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008178.lean\",\"166742a5a6a162dbb7a7ab0648b2700c6f0c155f9d086ef95dce4fa3ac438c56\",0,\"lean_workbook_plus_61725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008179.lean\",\"e52b87fb60cb3752bc4a785ee7169251b869e9526e90e3499376b4e7e0e2322a\",0,\"set_intersection_complement_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 495803,
+      "path": "data/train/p45/oproofs-s00002-r00008176-n000004-0000-35f64bc5f684d8d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "35f64bc5f684d8d4086a243cc4f759d069f022e04375e146692d2014f7e28f8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008180-n000004.json b/manifests/batches/oproofs/s00002-r00008180-n000004.json
index ba8c1df1f137ab348a4cfbedc11968262d62507e..c47d3ad38e1c46bd4fdfea6a1f75d5bb3b6a48db 100644
--- a/manifests/batches/oproofs/s00002-r00008180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008180-n000004",
   "batch_fingerprint": "224efa036054d6d803c30e98c43f9a656a023f89d52c61ef7045400a436c16a6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008180-n000004-0000-0ad5a585ba1ffd21.parquet",
-      "sha256": "0ad5a585ba1ffd212c3dc2b96174b4133c08a827d81f69a5351a040062103386",
-      "bytes": 322221,
-      "rows": 16,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008181.lean\",\"a9d070d66b08eadd30aad7dd1380321b2ec8f0f575527bab2125c1f1015da5e9\",0,\"lean_workbook_plus_71643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008182.lean\",\"9fb6a4721f1d9680d209af82d73fe0e14e2ff894e1606e7eae130340b63ef05f\",0,\"lean_workbook_plus_12138\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008183.lean\",\"47ddaba9a596e05ec745c7587babe3cca48263d3536960311d194ac407ccdf4f\",0,\"lean_workbook_55951\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322221,
+      "path": "data/train/p91/oproofs-s00002-r00008180-n000004-0000-0ad5a585ba1ffd21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0ad5a585ba1ffd212c3dc2b96174b4133c08a827d81f69a5351a040062103386"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008184-n000004.json b/manifests/batches/oproofs/s00002-r00008184-n000004.json
index eeb21e38439c693d48b4a161cfdb57b33a607a62..8524ae79cc43de453f915cb60ed07a6368c0e8d0 100644
--- a/manifests/batches/oproofs/s00002-r00008184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008184-n000004",
   "batch_fingerprint": "62f510b5cb031e7df390dfb8af95406e5b014687bc60176b0c4d8ee1f759934d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008184-n000004-0000-c6ff76ed453dacf1.parquet",
-      "sha256": "c6ff76ed453dacf1dba02870b1a7bf402e2d7173598aa0c6b8aa6191689b2ae7",
-      "bytes": 176907,
-      "rows": 17,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008185.lean\",\"fbf7eedc31ea2f1c75319f675a80aaa0db2129873ab3c97d696b61cfa7dbd904\",0,\"lean_workbook_25316\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008186.lean\",\"01d4d8791e40eb2bf2320f6177f2b9486a4ad87a27ae3447e6738c338936cb53\",0,\"lean_workbook_plus_78414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008187.lean\",\"99752a5655898bbf21d0287e869ad3548d5d186a1dbaa633a6f8e525458c942b\",0,\"lean_workbook_plus_30200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176907,
+      "path": "data/train/p21/oproofs-s00002-r00008184-n000004-0000-c6ff76ed453dacf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c6ff76ed453dacf1dba02870b1a7bf402e2d7173598aa0c6b8aa6191689b2ae7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008188-n000004.json b/manifests/batches/oproofs/s00002-r00008188-n000004.json
index 566f4484308c4f24b2d2371be680c1b5b9361dc6..a56b248d04ba09cf6f241626db6702fe123f5d9d 100644
--- a/manifests/batches/oproofs/s00002-r00008188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008188-n000004",
   "batch_fingerprint": "158c5f9cb6cbdcf1e1a896c1c268a7f06aef83d0ef63e80c2cfbbcab5b1bce6c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008188-n000004-0000-80868545d27df087.parquet",
-      "sha256": "80868545d27df087e1e4c5c3d485c2b41765180d0e5a4268d3bdac5d99f17212",
-      "bytes": 288025,
-      "rows": 17,
-      "revision": "bf76c27aaf976e7b5a7d7760ef49e6cf187707f1"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008189.lean\",\"26dcd434d936a2e8f7790622548fb956f168e7f6ac87c0e8e80ca46ed7dd3bf0\",0,\"lean_workbook_47714\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008190.lean\",\"031320c7abf98658925c066916fb5cf523ee1ea2c329e0eabe10f8a373f7e9d5\",0,\"lean_workbook_plus_77535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008191.lean\",\"f3eabe2c1a7b58d267ee714a7dbe64757029faab07ee955fa81b4d8748f312c3\",0,\"lean_workbook_27176\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288025,
+      "path": "data/train/pa0/oproofs-s00002-r00008188-n000004-0000-80868545d27df087.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "80868545d27df087e1e4c5c3d485c2b41765180d0e5a4268d3bdac5d99f17212"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008192-n000004.json b/manifests/batches/oproofs/s00002-r00008192-n000004.json
index 3e224c2939b4bfd82e9b782bed995aabee2d15f4..a7a823692710459ba29b0ddcfe441cbd3931b79e 100644
--- a/manifests/batches/oproofs/s00002-r00008192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008192-n000004",
   "batch_fingerprint": "4a7f4b08c9baef5c4ef1a5d28202587700bb86cf8135c073f378eea97b4b4430",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008192-n000004-0000-ee62e66333a1e0ca.parquet",
-      "sha256": "ee62e66333a1e0caf21b39cc676e755a446b9dd023604be9372df929faa17778",
-      "bytes": 1084218,
-      "rows": 21,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008192-n000004-0001-65ea59eb667a03e9.parquet",
-      "sha256": "65ea59eb667a03e99a6e0504a3b14ecccd678cf5e386acf80372b6aa6ebd66a0",
-      "bytes": 152439,
-      "rows": 3,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008193.lean\",\"c32942ad563f3ef8840ed8ba3243c4353813c4693633c6c1e1d7f0bd73f2734d\",0,\"lean_workbook_22819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008194.lean\",\"cfd5ecc70b774f1b5c73da75d9941c2af4b4969a5ff33abf256221f7fa0fd792\",0,\"lean_workbook_plus_71896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008195.lean\",\"5a6ad3ede1ce7d290da9e747975d5cc135af5b43af758d48be991a00f8fea0c5\",0,\"lean_workbook_48067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1084218,
+      "path": "data/train/p49/oproofs-s00002-r00008192-n000004-0000-ee62e66333a1e0ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ee62e66333a1e0caf21b39cc676e755a446b9dd023604be9372df929faa17778"
+    },
+    {
+      "bytes": 152439,
+      "path": "data/train/p49/oproofs-s00002-r00008192-n000004-0001-65ea59eb667a03e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "65ea59eb667a03e99a6e0504a3b14ecccd678cf5e386acf80372b6aa6ebd66a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008196-n000004.json b/manifests/batches/oproofs/s00002-r00008196-n000004.json
index ede2c004076c0ea790b7a2a83659aa5fd2e8aeb5..c5d1a498b8947e2d3d88bf19388edf5a44764007 100644
--- a/manifests/batches/oproofs/s00002-r00008196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008196-n000004",
   "batch_fingerprint": "884abd19105f2c4aae1b8dd544c0feabbe019a46ec376633dd98df7a3d330601",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008196-n000004-0000-6d385c8742b6ae34.parquet",
-      "sha256": "6d385c8742b6ae348786d4f8ed5cda1ec114307d6ae1f74416cee00b2a3cc58c",
-      "bytes": 170925,
-      "rows": 14,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008197.lean\",\"3e7495dac28616e43b6e42862573aca50ee2b85a5cb3546523da0d766f1d87fb\",0,\"lean_workbook_plus_40720\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008198.lean\",\"5994df7812bba2e0da587c80875cca034e92a40b839163c16fcd4685503dfc00\",0,\"lean_workbook_20323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008199.lean\",\"f46c54052b2a932635b0ab0976dc33fc65af033b9ee765d6e8ce42da7f173a62\",0,\"lean_workbook_plus_57485\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170925,
+      "path": "data/train/p4d/oproofs-s00002-r00008196-n000004-0000-6d385c8742b6ae34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6d385c8742b6ae348786d4f8ed5cda1ec114307d6ae1f74416cee00b2a3cc58c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008200-n000004.json b/manifests/batches/oproofs/s00002-r00008200-n000004.json
index d37b8f1a7156fecfac13f7e5c4c7e3330fe59285..956959479cb0f7b9b4f4eb2c7c2e9e734e6efee9 100644
--- a/manifests/batches/oproofs/s00002-r00008200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008200-n000004",
   "batch_fingerprint": "0e3b219377dfb3237ebb0922c8effde066042a3d47f162755d9880a18abd33bb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008200-n000004-0000-5bf378a138b71b56.parquet",
-      "sha256": "5bf378a138b71b562019ccd00dc94d6dbfc1902a78d32eac164868fe6939a85c",
-      "bytes": 622447,
-      "rows": 28,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008201.lean\",\"6cfcd4ce0a956fa8083e80d8e95488d4c4f80a3f51ae18080d922f71df591079\",0,\"lean_workbook_21277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008202.lean\",\"150076321b4ddadce941d840364d47c4c89d0ad747d74d6978ccef6d2f3db099\",0,\"lean_workbook_plus_56600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008203.lean\",\"ef3cef841aa25142dda6616ed3eda2f70aa56b7b75dd4ba0aab58ea12f0317f1\",0,\"histogram_frequency_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 622447,
+      "path": "data/train/p3f/oproofs-s00002-r00008200-n000004-0000-5bf378a138b71b56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5bf378a138b71b562019ccd00dc94d6dbfc1902a78d32eac164868fe6939a85c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008204-n000004.json b/manifests/batches/oproofs/s00002-r00008204-n000004.json
index d891db62b0a9e2cb94d8cb886755a4ce66b67a22..430800c5a1fb9dfd3b18d9dc89f198848b43af44 100644
--- a/manifests/batches/oproofs/s00002-r00008204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008204-n000004",
   "batch_fingerprint": "e72f7fd18f6a92654fd412487c84ac98e6f5987e19175fe4e47f814c18ae97f6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008204-n000004-0000-9dc582aa9cf42e8a.parquet",
-      "sha256": "9dc582aa9cf42e8a83e43bc739c10b18f05ac9401fd1f57ba01004050711c46f",
-      "bytes": 732548,
-      "rows": 25,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008204-n000004-0000-b3a4ce419122ea57.parquet",
-      "sha256": "b3a4ce419122ea575bb47371b50e1638254046bc8ea5f4ed9eb123db126d1dc1",
-      "bytes": 111465,
-      "rows": 7,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008205.lean\",\"4c6b72e1979f06cd1de7e7c717577792e9c802b60afa94b4fee7df3ec5259cef\",0,\"lean_workbook_plus_67328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008206.lean\",\"50bae7e50887d62a67f67673d515594049e7ba1a71b8c98a57ae10baf076c319\",0,\"lean_workbook_plus_6116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008207.lean\",\"4ae5b6e16c0e47929ada583f9e8940789b3ebe6cabf8fa44ce84330a21014f24\",0,\"lean_workbook_plus_53514\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 732548,
+      "path": "data/train/p6d/oproofs-s00002-r00008204-n000004-0000-9dc582aa9cf42e8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9dc582aa9cf42e8a83e43bc739c10b18f05ac9401fd1f57ba01004050711c46f"
+    },
+    {
+      "bytes": 111465,
+      "path": "data/internal_test/p6d/oproofs-s00002-r00008204-n000004-0000-b3a4ce419122ea57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b3a4ce419122ea575bb47371b50e1638254046bc8ea5f4ed9eb123db126d1dc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008208-n000004.json b/manifests/batches/oproofs/s00002-r00008208-n000004.json
index 8e73892e8eb5ed2cb9f4424c37a05c50071bdd4f..68b1bd28c78a1e999d92776b06c4c6e915039219 100644
--- a/manifests/batches/oproofs/s00002-r00008208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008208-n000004",
   "batch_fingerprint": "0ccf5ced5287ebfd180ca9160de4b42e0f7599ab136588197a73e4f51341ccb3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008208-n000004-0000-46cdb24154fe5ebf.parquet",
-      "sha256": "46cdb24154fe5ebf7a4469b07c66f100d11319bcdfc5d24c03cb36226290faba",
-      "bytes": 113840,
-      "rows": 6,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008208-n000004-0000-4e4b2ac074d34d71.parquet",
-      "sha256": "4e4b2ac074d34d71c3c65c2f492691bdd7b8a7cb841f00bea41b13341c6e8a17",
-      "bytes": 72009,
-      "rows": 5,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008209.lean\",\"6cde951ae4a7bae764e7c5b0519390ab722d32b001d8e2094d897619e6139309\",0,\"lean_workbook_28541\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008210.lean\",\"885ef7a187782fe9bb2934d4dec35f50f82a9fcfa4665f969e3e78ad7af26dbf\",0,\"lean_workbook_plus_53590\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008211.lean\",\"7154708311478618a37b1d31209312209ad55c529c960c39c6042cd4a5e90877\",0,\"lean_workbook_plus_12046\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113840,
+      "path": "data/train/pec/oproofs-s00002-r00008208-n000004-0000-46cdb24154fe5ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "46cdb24154fe5ebf7a4469b07c66f100d11319bcdfc5d24c03cb36226290faba"
+    },
+    {
+      "bytes": 72009,
+      "path": "data/dev/pec/oproofs-s00002-r00008208-n000004-0000-4e4b2ac074d34d71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4e4b2ac074d34d71c3c65c2f492691bdd7b8a7cb841f00bea41b13341c6e8a17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008212-n000004.json b/manifests/batches/oproofs/s00002-r00008212-n000004.json
index 89c1ca7fc7f172bae6869970e110d6f267071934..328d5836c6b820bb69ba924170bd16031f9105d1 100644
--- a/manifests/batches/oproofs/s00002-r00008212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008212-n000004",
   "batch_fingerprint": "b4155b9678fdbde8787780f7ff2efe0646c241a73d48ad4f06a21704ccc23316",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008212-n000004-0000-d31dfcf0d7548cb0.parquet",
-      "sha256": "d31dfcf0d7548cb00b3b244db1e36d5e0a3b936e7a1a10e5241a51169515268a",
-      "bytes": 297846,
-      "rows": 18,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008212-n000004-0000-8e44930eb91f1c8f.parquet",
-      "sha256": "8e44930eb91f1c8f06a9e41d82061ad506292b30b1a921d7c285abfc540f1179",
-      "bytes": 189807,
-      "rows": 4,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8213",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008213.lean\",\"4457a9e248b483460098300d0c0af197212574be9a8f1df6739c933e1db38927\",0,\"lean_workbook_plus_35956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008214.lean\",\"ca87165201284bb7acf0c41e07b968e63eb198e0950c2effd9da88347d959552\",0,\"lean_workbook_17413\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008215.lean\",\"83968a27870cb9fda64cc9c6164b4a07567c4056985661f4f0d2a44bce030504\",0,\"floor_diff_eq_one_only_five\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297846,
+      "path": "data/train/p7c/oproofs-s00002-r00008212-n000004-0000-d31dfcf0d7548cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d31dfcf0d7548cb00b3b244db1e36d5e0a3b936e7a1a10e5241a51169515268a"
+    },
+    {
+      "bytes": 189807,
+      "path": "data/dev/p7c/oproofs-s00002-r00008212-n000004-0000-8e44930eb91f1c8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8e44930eb91f1c8f06a9e41d82061ad506292b30b1a921d7c285abfc540f1179"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008216-n000004.json b/manifests/batches/oproofs/s00002-r00008216-n000004.json
index a1f3d63474e69d0394ca2132e40bc22e2b47eebd..01ea6c81e8c1823a1c2ebd8b491b8cafbb83f1c8 100644
--- a/manifests/batches/oproofs/s00002-r00008216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008216-n000004",
   "batch_fingerprint": "6e002149e4f3b5225efc75b528a9fc0407da16e6b22a999d748a5c83fe931c51",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008216-n000004-0000-0df48c05bb57ca00.parquet",
-      "sha256": "0df48c05bb57ca00df4baefbf6d7d597a40193399c6cbe0e7e2434274d8d5acb",
-      "bytes": 299461,
-      "rows": 18,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008217.lean\",\"a0bc6e23788ab0c5c6e2959352ee37e3a36130ab65651a3724d12e3d9d0fae8e\",0,\"lean_workbook_plus_40483\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008218.lean\",\"e7f0f403f56bd153cc72e19d2351ae59a20fff921b3982935f0e1b8b491ed3e7\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008219.lean\",\"e3db40ea6a783ab7c5259ba55bdd411fe6b3c814f447c65864cccc3968fa9106\",0,\"lean_workbook_15279\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299461,
+      "path": "data/train/p51/oproofs-s00002-r00008216-n000004-0000-0df48c05bb57ca00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0df48c05bb57ca00df4baefbf6d7d597a40193399c6cbe0e7e2434274d8d5acb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008220-n000004.json b/manifests/batches/oproofs/s00002-r00008220-n000004.json
index df5f690e56f82d18434b65379c6fbf15238af65e..bfe9892d2faaa56c515038d9e0d865985baa6848 100644
--- a/manifests/batches/oproofs/s00002-r00008220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008220-n000004",
   "batch_fingerprint": "ddcbfbe827851d34d5a7f9ec1ae47bf26af4f296bca16ad3436309c9814be8cf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008220-n000004-0000-61fcdfe7d753abff.parquet",
-      "sha256": "61fcdfe7d753abffb18e04ae0bb98a5f13b0f636eea7931fab0e2f651dbe06ca",
-      "bytes": 208209,
-      "rows": 15,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008221.lean\",\"2d4a6aa57a13b16ce2c99b86f9006f9a75992db7ee99d9749587512dfccf70d1\",0,\"lean_workbook_plus_82836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008222.lean\",\"b24c2360ff2e83a43d1f1836db90948e4338f8036b5b091663018b4b96bef80a\",0,\"lean_workbook_plus_62054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008223.lean\",\"0f6a6fc94475480a90f587cabc19a4b05207ad3735e148ba3b176e6142f2685a\",0,\"lean_workbook_49672\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208209,
+      "path": "data/train/p7e/oproofs-s00002-r00008220-n000004-0000-61fcdfe7d753abff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "61fcdfe7d753abffb18e04ae0bb98a5f13b0f636eea7931fab0e2f651dbe06ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008224-n000004.json b/manifests/batches/oproofs/s00002-r00008224-n000004.json
index 6da480456212d70d913f5532e02ecb44daf3ebe8..a0ee522953002919bcf0211d44b80070ad290402 100644
--- a/manifests/batches/oproofs/s00002-r00008224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008224-n000004",
   "batch_fingerprint": "ae04439cd607d6f282931f86b3a322af27575806fa7e103df350795dc3c861dc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008224-n000004-0000-c23dac1a8f92fc6b.parquet",
-      "sha256": "c23dac1a8f92fc6b9c1d251b145b10dc335052e7f33fb7add5a68c826d7cc8e3",
-      "bytes": 84135,
-      "rows": 13,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008225.lean\",\"fd19df42a5e846aa766c63a925a673590b15f706436ea3b41ef1155cce1f2d4d\",0,\"lean_workbook_plus_63483\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008226.lean\",\"8b4579ac34bca8c56a440939082b3e839d2573a15456870a8cc1bd6bf6269d99\",0,\"lean_workbook_plus_24886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008227.lean\",\"bac19651dbed7c06ebfd6b1df760d811c53a79bd905c21a534c1f2e3ccf64aa0\",0,\"lean_workbook_plus_67172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84135,
+      "path": "data/train/pe4/oproofs-s00002-r00008224-n000004-0000-c23dac1a8f92fc6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c23dac1a8f92fc6b9c1d251b145b10dc335052e7f33fb7add5a68c826d7cc8e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008228-n000004.json b/manifests/batches/oproofs/s00002-r00008228-n000004.json
index 55a3bce41a7305846870d4db6415d52c7cb4f8a0..72958c758cad641ee261638ac47248ff5a78b3f0 100644
--- a/manifests/batches/oproofs/s00002-r00008228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008228-n000004",
   "batch_fingerprint": "c15b6434b2bb8d436317407475965586d1cf641b3dc9dbb32e526e99c31ebae1",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008228-n000004-0000-31a28f5cb1ca3403.parquet",
-      "sha256": "31a28f5cb1ca34039c7300c2bdc1f0b46e387dbb8fc2971d0d8a4481dac25a7a",
-      "bytes": 240567,
-      "rows": 11,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008228-n000004-0000-10b437a4193db7c6.parquet",
-      "sha256": "10b437a4193db7c6d2e17f8b4c84fd65c5c8a7abcfd08d7ba3481549ba72d2da",
-      "bytes": 395514,
-      "rows": 6,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8229",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008228.lean\",\"bba3f831b12e8969c39dd1b77457dcd7b93c93804a8e8626ead4522c7a87af1a\",0,\"lean_workbook_43762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008229.lean\",\"5155851aac8875f03574c9bdd86de85ce81dadcede3a6c9ca104a057231ed6dc\",0,\"lean_workbook_plus_62978\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008230.lean\",\"c8c3ee2186f37d7244d7ddeec3f0c77706f7861224c9751123ff4dd8d48bece2\",0,\"count_integers_in_bounds\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240567,
+      "path": "data/train/pab/oproofs-s00002-r00008228-n000004-0000-31a28f5cb1ca3403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "31a28f5cb1ca34039c7300c2bdc1f0b46e387dbb8fc2971d0d8a4481dac25a7a"
+    },
+    {
+      "bytes": 395514,
+      "path": "data/internal_test/pab/oproofs-s00002-r00008228-n000004-0000-10b437a4193db7c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "10b437a4193db7c6d2e17f8b4c84fd65c5c8a7abcfd08d7ba3481549ba72d2da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008232-n000004.json b/manifests/batches/oproofs/s00002-r00008232-n000004.json
index 412af809e9555016cb5fdf9f7c81e3fa2a7aaecc..f04d56728ca9a9621619e279aef9eba57998350f 100644
--- a/manifests/batches/oproofs/s00002-r00008232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008232-n000004",
   "batch_fingerprint": "02e73e4de3a3d634b55d5bcf619fe5a59118d91179306d9d0f3be10f34c4456d",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008232-n000004-0000-23c504fb9c4ca213.parquet",
-      "sha256": "23c504fb9c4ca213aa6b204002daaf03cf3caac3e9eb638d846b97ef387dd66f",
-      "bytes": 61504,
-      "rows": 5,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008232-n000004-0000-9d09aa9a1f10f7b8.parquet",
-      "sha256": "9d09aa9a1f10f7b8e6049cd06e284620aeaf14d0c3c2f0d45936ad246d1a0b0f",
-      "bytes": 100511,
-      "rows": 7,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8233",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8234",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008233.lean\",\"232c3b7202791457d215eca42b44c7a1c93b1286881646e7bd0f39670eedbc37\",0,\"lean_workbook_plus_70695\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008234.lean\",\"5dd2fdb3eef3c34e4aafafe5ea4f9220250157bf302c3480545da57b2a5e10d2\",0,\"lean_workbook_plus_49121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008235.lean\",\"5ba329254ed927c4bbda9cb0252c219d3ef521db01196280cabed6bca4829b3b\",0,\"lean_workbook_plus_18823\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61504,
+      "path": "data/train/p42/oproofs-s00002-r00008232-n000004-0000-23c504fb9c4ca213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "23c504fb9c4ca213aa6b204002daaf03cf3caac3e9eb638d846b97ef387dd66f"
+    },
+    {
+      "bytes": 100511,
+      "path": "data/dev/p42/oproofs-s00002-r00008232-n000004-0000-9d09aa9a1f10f7b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9d09aa9a1f10f7b8e6049cd06e284620aeaf14d0c3c2f0d45936ad246d1a0b0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008236-n000004.json b/manifests/batches/oproofs/s00002-r00008236-n000004.json
index f294e2d7aedd7a86f0d3131bcde65dd038ac0415..b909869790940a2b4c0473a07f6408a41cac40c2 100644
--- a/manifests/batches/oproofs/s00002-r00008236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008236-n000004",
   "batch_fingerprint": "c31c744e9a894987632e8aaeddaf0832165d3dccabd041fc28848d04884ecadf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008236-n000004-0000-d54e369141ae8a86.parquet",
-      "sha256": "d54e369141ae8a86f7596f68cf3c590b20da3efbaebc12c2abef3ae42dd2e8d1",
-      "bytes": 191852,
-      "rows": 16,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008237.lean\",\"274da1d3f6f97be366ab975e78c49c29bd366d14428a757edf0613340adcf7e6\",0,\"lean_workbook_12499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008238.lean\",\"1cc6b6186146235374a2a27d86d3695fbc6dd61ad9560ae49da624b8da5c6d44\",0,\"shares_ratio_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008239.lean\",\"e79648776c311b1c52ac3db0ae8429141873e8f2a65c98e514f4624a01ee1f43\",0,\"lean_workbook_plus_82476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191852,
+      "path": "data/train/p5f/oproofs-s00002-r00008236-n000004-0000-d54e369141ae8a86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d54e369141ae8a86f7596f68cf3c590b20da3efbaebc12c2abef3ae42dd2e8d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008240-n000004.json b/manifests/batches/oproofs/s00002-r00008240-n000004.json
index 211f974e064b5b097fd0276da0c3131e2eb32406..f5e853b299615113261f1f2a07ae25766ab4494d 100644
--- a/manifests/batches/oproofs/s00002-r00008240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008240-n000004",
   "batch_fingerprint": "87d7bf80bab23d446fd63e1ec3d56cc1136947e848043b52dd9d63321c61d652",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008240-n000004-0000-4bb08b2861d88dc5.parquet",
-      "sha256": "4bb08b2861d88dc5f29925a68bbf8c332aec11b90fbaa90398bb7cb5b6178a7d",
-      "bytes": 300215,
-      "rows": 15,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008241.lean\",\"d25d6664eb7db58117c0d4ed840cb3f933307221a51af024a35aad51687a3edd\",0,\"rhombus_angle_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008242.lean\",\"fe698c740effca293f4352c7c984971dadeb3c6cf15fc19055705f7adcd644ef\",0,\"lean_workbook_46198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008243.lean\",\"572c736c927defb0d0dda0d496801affd2d6bc019799027099d855a8b40d0787\",0,\"lean_workbook_31638\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300215,
+      "path": "data/train/pda/oproofs-s00002-r00008240-n000004-0000-4bb08b2861d88dc5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4bb08b2861d88dc5f29925a68bbf8c332aec11b90fbaa90398bb7cb5b6178a7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008244-n000004.json b/manifests/batches/oproofs/s00002-r00008244-n000004.json
index 9ffa253ecd7ed47c3b66652b30e6609cfb957728..1293309748381883906507840597034ea8559cf8 100644
--- a/manifests/batches/oproofs/s00002-r00008244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008244-n000004",
   "batch_fingerprint": "452abbb8a10cf34fe43c9940b74b044e1407eaa771b1fd1e9a944fd055e75907",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008244-n000004-0000-754f27c8ba380014.parquet",
-      "sha256": "754f27c8ba3800140f80a655e290d3805c5f077265f25a422bc34418e4628579",
-      "bytes": 196564,
-      "rows": 14,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008245.lean\",\"b0392f7ad99cd919f40497ed0ef65e20fa4dff7b2f00108c32b58763b6558297\",0,\"lean_workbook_13121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008246.lean\",\"758e28b7be79e53d712ace246a72b2a03c7df3c8c176ab96b80ff1fc23b945d5\",0,\"lean_workbook_plus_14729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008247.lean\",\"fe191ba7fc6f04c2e33c0d46216d7f39d4b091e0955c4bcecf918c8c589adf41\",0,\"lean_workbook_plus_79756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196564,
+      "path": "data/train/p3c/oproofs-s00002-r00008244-n000004-0000-754f27c8ba380014.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "754f27c8ba3800140f80a655e290d3805c5f077265f25a422bc34418e4628579"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008248-n000004.json b/manifests/batches/oproofs/s00002-r00008248-n000004.json
index c16d9e21d97cd197f49808f3188af05883f7c4bc..04f30227bb3ee72d349bfa2cca2f68d587982e8a 100644
--- a/manifests/batches/oproofs/s00002-r00008248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008248-n000004",
   "batch_fingerprint": "8ae4331d0338cfcdfe8266371f9dcfe12397362db6d3d1328ef2108893711f7b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008248-n000004-0000-dc2a1980f25ae395.parquet",
-      "sha256": "dc2a1980f25ae395fb2456088e1706085acdc2e4cfec11cbe05b4bc5b9b869a4",
-      "bytes": 175401,
-      "rows": 15,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008248-n000004-0000-01aceb4e74bb4d5c.parquet",
-      "sha256": "01aceb4e74bb4d5c738ebf6fd72499aad3f6e7a205f6a86e5b170975bfbdf973",
-      "bytes": 203999,
-      "rows": 7,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008249.lean\",\"1889fd03328716028d09f714a2e1743231ac11e1df68c25ed715841e16d57bef\",0,\"lean_workbook_plus_47563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008250.lean\",\"438ed1533bde0bafb8f8b0bf926b4de835d7082a009bdbda5b66a400811fa07e\",0,\"lean_workbook_3728\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008251.lean\",\"e4f6c451556d291a675b0b739f6ec581e6b8fc67632603b34d14f156c696ad91\",0,\"lean_workbook_25197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175401,
+      "path": "data/train/pa4/oproofs-s00002-r00008248-n000004-0000-dc2a1980f25ae395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "dc2a1980f25ae395fb2456088e1706085acdc2e4cfec11cbe05b4bc5b9b869a4"
+    },
+    {
+      "bytes": 203999,
+      "path": "data/internal_test/pa4/oproofs-s00002-r00008248-n000004-0000-01aceb4e74bb4d5c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "01aceb4e74bb4d5c738ebf6fd72499aad3f6e7a205f6a86e5b170975bfbdf973"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008252-n000004.json b/manifests/batches/oproofs/s00002-r00008252-n000004.json
index a62254eb24a07f1c78daaa2d1a9607d466099580..41a9814ba3bc209e2fe0b8e05b1493b3d4e03ddc 100644
--- a/manifests/batches/oproofs/s00002-r00008252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008252-n000004",
   "batch_fingerprint": "5c55b4f56a9e6701a99dfdd3f4546e018a33bc5950e9bc81f7d616bb83f67969",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008252-n000004-0000-c5bf224131694e96.parquet",
-      "sha256": "c5bf224131694e96bfc305fa2f2cf2d03d09e8697d4cd5f93a9c087f2cc401af",
-      "bytes": 71172,
-      "rows": 8,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008252-n000004-0000-6d14fcdc02f61496.parquet",
-      "sha256": "6d14fcdc02f614967c4214813835c60997466d063b146983f7adfba31d65ab32",
-      "bytes": 85342,
-      "rows": 2,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008253.lean\",\"c4589312e42e302572bf61753d5c65e703fcf8a792a280cf2b73069eaef4101f\",0,\"lean_workbook_plus_71643\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008254.lean\",\"378b085dd7ccfec5913163cf7f58cdffd06e2a68b09a9bd6bd25687d82479338\",0,\"lean_workbook_plus_63335\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008255.lean\",\"95c91a15a7ab369a64c075cdfdca6a816b0dd1fb8eee36f16ada774496675680\",0,\"lean_workbook_plus_34663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 71172,
+      "path": "data/train/pe1/oproofs-s00002-r00008252-n000004-0000-c5bf224131694e96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c5bf224131694e96bfc305fa2f2cf2d03d09e8697d4cd5f93a9c087f2cc401af"
+    },
+    {
+      "bytes": 85342,
+      "path": "data/dev/pe1/oproofs-s00002-r00008252-n000004-0000-6d14fcdc02f61496.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6d14fcdc02f614967c4214813835c60997466d063b146983f7adfba31d65ab32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008256-n000004.json b/manifests/batches/oproofs/s00002-r00008256-n000004.json
index 85ec55fd106ae1b099e14f1fa3f4fa3a1a4aee4b..d5132170ed4f781eb416141ddf42f252681af4ed 100644
--- a/manifests/batches/oproofs/s00002-r00008256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008256-n000004",
   "batch_fingerprint": "fdcdf6c9cfe87a487b82e93b3dc7e8eb85ee6d66d3b29d73fb9fb75c4eff7836",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008256-n000004-0000-edd0d7fe97e7233b.parquet",
-      "sha256": "edd0d7fe97e7233bdcd2ed5389bd8a327808a7cf7c995ba224f77dabf35533d1",
-      "bytes": 196224,
-      "rows": 25,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008257.lean\",\"0d44e960a494c6e0de55963286b8d5dce32fc6ab2132083341880026226d02b8\",0,\"lean_workbook_plus_63648\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008258.lean\",\"95b2d8485aa93b16d09f4ec903f8f9c7c561572ee027277c526fb2ebd9792dc0\",0,\"lean_workbook_plus_12222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008259.lean\",\"894f9076feb09ac49207fa18a2ab2b240eb3244618176db1d3e34275337be70e\",0,\"lean_workbook_plus_78414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196224,
+      "path": "data/train/paf/oproofs-s00002-r00008256-n000004-0000-edd0d7fe97e7233b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "edd0d7fe97e7233bdcd2ed5389bd8a327808a7cf7c995ba224f77dabf35533d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008260-n000004.json b/manifests/batches/oproofs/s00002-r00008260-n000004.json
index 123ce1f82aa86bce0efa986be629c70553823523..f2297c4b6a0d520a908083f1529c90515a96e8e3 100644
--- a/manifests/batches/oproofs/s00002-r00008260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008260-n000004",
   "batch_fingerprint": "5dac23fd84814af3ee1a7488edf5b191a33bb231d40ce30c6e330889a7500720",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008260-n000004-0000-1a6dfcf9af18ff22.parquet",
-      "sha256": "1a6dfcf9af18ff2296f843856afcc777dc902d1a2f626b71256af0d142dab6bf",
-      "bytes": 595227,
-      "rows": 26,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8261",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008261.lean\",\"92b42f12fa5b3d7de295e5c5bba9de41b96ee128d1fc20b6147774cc1843d532\",0,\"lean_workbook_55951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008262.lean\",\"612d1ff16db8fe1ab51ebb7fe4e9d438fa256064e617e5403078cea569783fb4\",0,\"lean_workbook_plus_54172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008263.lean\",\"98fd60e8b0b52b30e6c9ac863ea5c7d7300b8b806313b5ddcf65814c9b8f957b\",0,\"lean_workbook_plus_30200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595227,
+      "path": "data/train/pf6/oproofs-s00002-r00008260-n000004-0000-1a6dfcf9af18ff22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1a6dfcf9af18ff2296f843856afcc777dc902d1a2f626b71256af0d142dab6bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008264-n000004.json b/manifests/batches/oproofs/s00002-r00008264-n000004.json
index 6d44beb9fa8720d1ce03a95cc3cbf55049b0d65e..64d530be41bb6233cbeec2feb4e907da24f2a3f4 100644
--- a/manifests/batches/oproofs/s00002-r00008264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008264-n000004",
   "batch_fingerprint": "0c22bf82bc407e8d0594f3dbede18c87ed55b006f6ef23efa77cc285aac648eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008264-n000004-0000-9dc7f9e861221b28.parquet",
-      "sha256": "9dc7f9e861221b28383959f246f7351c466107cb9c75ba90f7c937024655c977",
-      "bytes": 209569,
-      "rows": 14,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8265",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008265.lean\",\"517738ff1751b8bcdb46913391b43c0a8f11df494133707476403bb90599e179\",0,\"lean_workbook_27176\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008266.lean\",\"67066cc3ad3b9463f48e45ff3fef8e6bcc2a1e6f3e67855291111bf088e63e45\",0,\"lean_workbook_47714\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008267.lean\",\"b164628046f85c00b5eadc552ec65c28e866bb47bda121a72859fcef8f77d4aa\",0,\"lean_workbook_plus_71896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209569,
+      "path": "data/train/p5f/oproofs-s00002-r00008264-n000004-0000-9dc7f9e861221b28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9dc7f9e861221b28383959f246f7351c466107cb9c75ba90f7c937024655c977"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008268-n000004.json b/manifests/batches/oproofs/s00002-r00008268-n000004.json
index 0f1070d57678a1ca4cc4ca901ca655cd763b91f0..3e677940f1a4ddae57b771f8bc1f02be081e1423 100644
--- a/manifests/batches/oproofs/s00002-r00008268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008268-n000004",
   "batch_fingerprint": "69198d0939dc67fa6e837ca8f52cec7b087171d5b8a6e21394637c3031d46bef",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008268-n000004-0000-e9b55dd56b618840.parquet",
-      "sha256": "e9b55dd56b618840cd21df7dad5fd3cc936a3f24a6e6edbddc73f4845ec863d8",
-      "bytes": 416833,
-      "rows": 17,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008269.lean\",\"7b3157b803733ee7a2fc35b30fe24ce5d7778a0dff32de735404af4bbcd311e2\",0,\"lean_workbook_plus_57485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008270.lean\",\"acd20e6194c156b6a1da26ba46817ccb76bef1e6479fc6043b4b4754ca88d160\",0,\"lean_workbook_plus_21267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008271.lean\",\"6a02bbe13e1327ab7f80ec330d3af621fd6b7ae40104380b3656b4df2321e892\",0,\"lean_workbook_plus_56600\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416833,
+      "path": "data/train/p97/oproofs-s00002-r00008268-n000004-0000-e9b55dd56b618840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e9b55dd56b618840cd21df7dad5fd3cc936a3f24a6e6edbddc73f4845ec863d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008272-n000004.json b/manifests/batches/oproofs/s00002-r00008272-n000004.json
index be7ec5931a86b011e141f80983754cac5ded56a8..ae9cade7eb7453dd68b9c55be60626d022baf23f 100644
--- a/manifests/batches/oproofs/s00002-r00008272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008272-n000004",
   "batch_fingerprint": "81d0e7fb373c8a99468fc3a3e001bcce3ba893718155b9060b12079ca59d99ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008272-n000004-0000-1456d72f0f0d780b.parquet",
-      "sha256": "1456d72f0f0d780bf86febb42ce9c1d60f023c9b55dac60cc1ceeb888797c383",
-      "bytes": 649885,
-      "rows": 26,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008273.lean\",\"c97cc8a5e5d3de7e62149663f1393b7335ab00972a4621c0c9bd4f4d41f6a3f6\",0,\"lean_workbook_21277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008274.lean\",\"727f85832be236ced6341120116d75246d77234f73d74c8e28de65749bb03152\",0,\"lean_workbook_22819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008275.lean\",\"485d6f6d9508f91f78956807f960462d022ad5017084b6e1ecd865e5db38988e\",0,\"lean_workbook_plus_52001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649885,
+      "path": "data/train/pd1/oproofs-s00002-r00008272-n000004-0000-1456d72f0f0d780b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "1456d72f0f0d780bf86febb42ce9c1d60f023c9b55dac60cc1ceeb888797c383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008276-n000004.json b/manifests/batches/oproofs/s00002-r00008276-n000004.json
index 760d2540532d7dc23ce5444a41367919c3a752aa..a60dbf6019b99e15343367a96d114a2a400b451b 100644
--- a/manifests/batches/oproofs/s00002-r00008276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008276-n000004",
   "batch_fingerprint": "2c0e45df290338b8023890ab0c802eb41a07359c26d9943c79278290d31a5510",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8276",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8277",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8278",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8279"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008276.lean\",\"2ac114cf013735c577d459ebd8bf96bf53e1c53f22055fbb1ff1a650e522062e\",0,\"lean_workbook_plus_67328\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008277.lean\",\"2af0eabdba790d3bcb0016bdce7917876f85f9140c7a28146378daeaf0c50040\",0,\"lean_workbook_plus_30293\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008278.lean\",\"8a26a9c9b4b8b4a607016bcee3eadcbdd96d24c86d4526d77110d759f9012a44\",0,\"lean_workbook_plus_53514\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008279.lean\",\"a7bab25709409d4740d03e297762f1dd2dabe42bd1f1e06bd6e120c6d69d9f45\",0,\"lean_workbook_plus_53590\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008276-n000004-0000-c57e3c8709fce3d8.parquet",
-      "sha256": "c57e3c8709fce3d8f360659f1b3d4a64477495667e24b02b630707eb84f2cb0b",
       "bytes": 118055,
+      "path": "data/train/p0f/oproofs-s00002-r00008276-n000004-0000-c57e3c8709fce3d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
+      "sha256": "c57e3c8709fce3d8f360659f1b3d4a64477495667e24b02b630707eb84f2cb0b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008276-n000004-0000-b0b39ec43c73eebe.parquet",
-      "sha256": "b0b39ec43c73eebe7bfe13ffed8f0114c2fff1fcaba0c5be80f25c5191783284",
       "bytes": 69344,
+      "path": "data/dev/p0f/oproofs-s00002-r00008276-n000004-0000-b0b39ec43c73eebe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
+      "sha256": "b0b39ec43c73eebe7bfe13ffed8f0114c2fff1fcaba0c5be80f25c5191783284"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008276-n000004-0000-d0a9980ff086898e.parquet",
-      "sha256": "d0a9980ff086898eac09f67f2056dc0b43be4a300a42f923fbe497b15607a272",
       "bytes": 98807,
+      "path": "data/internal_test/p0f/oproofs-s00002-r00008276-n000004-0000-d0a9980ff086898e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
+      "sha256": "d0a9980ff086898eac09f67f2056dc0b43be4a300a42f923fbe497b15607a272"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8276",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8277",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8278",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8279"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008276.lean\",\"2ac114cf013735c577d459ebd8bf96bf53e1c53f22055fbb1ff1a650e522062e\",0,\"lean_workbook_plus_67328\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008277.lean\",\"2af0eabdba790d3bcb0016bdce7917876f85f9140c7a28146378daeaf0c50040\",0,\"lean_workbook_plus_30293\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008278.lean\",\"8a26a9c9b4b8b4a607016bcee3eadcbdd96d24c86d4526d77110d759f9012a44\",0,\"lean_workbook_plus_53514\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008279.lean\",\"a7bab25709409d4740d03e297762f1dd2dabe42bd1f1e06bd6e120c6d69d9f45\",0,\"lean_workbook_plus_53590\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008280-n000004.json b/manifests/batches/oproofs/s00002-r00008280-n000004.json
index a30bbf91c9dedd2a0feac0dccd9f6e20668dddbd..bfc689fefc719e9491576148474a27b9b7615c13 100644
--- a/manifests/batches/oproofs/s00002-r00008280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008280-n000004",
   "batch_fingerprint": "1b3b1972ffc122c2b5a999b42d8b5d2ec7c01e30a0c91c25c7b5aeb25793b032",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008280-n000004-0000-516dd4e76cc73d81.parquet",
-      "sha256": "516dd4e76cc73d81db3c643f9b8402211d960cac808f4ff8127cff6f554c975b",
-      "bytes": 270635,
-      "rows": 21,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008281.lean\",\"5a47fcd2dcf9c3b2ffed4b66f0b1c12ea18219076c1618590324192482bbeb24\",0,\"lean_workbook_plus_12046\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008282.lean\",\"03a033a5af04cbea49ec24f04962225f415ab16a6b9fe6558b6860d3916a7c10\",0,\"lean_workbook_plus_35956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008283.lean\",\"0893022ac6eee59a33a4f04867a848159d273e20716833ba60765881c479eb06\",0,\"point_D_coordinates\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270635,
+      "path": "data/train/pe4/oproofs-s00002-r00008280-n000004-0000-516dd4e76cc73d81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "516dd4e76cc73d81db3c643f9b8402211d960cac808f4ff8127cff6f554c975b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008284-n000004.json b/manifests/batches/oproofs/s00002-r00008284-n000004.json
index 376a2a3b2097d6ddcc33075ffe9e937b983ccf5f..bf135e870770af93adee95712d4d0ccb549472fa 100644
--- a/manifests/batches/oproofs/s00002-r00008284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008284-n000004",
   "batch_fingerprint": "355f05741f4a465a9a127b6ea5b8ae60992423549148e4ce99142adf31ce27f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008284-n000004-0000-9697e73d69fa2533.parquet",
-      "sha256": "9697e73d69fa2533a6e1174f6de82ea619cbdd1bcaf39b725dc0662ae91f3aca",
-      "bytes": 391462,
-      "rows": 21,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008285.lean\",\"a37df27a64ae9c814e7662eba5f754da78b6702bb2d1b7b635bda3b893687cf9\",0,\"lean_workbook_17413\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008286.lean\",\"44df2a318ae738a824af92f1d3dfed0320683d214c828104c200c8c30a9b2d64\",0,\"lean_workbook_plus_37463\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008287.lean\",\"05d1167d931329dfe42fdf1eb9dea70b72c78122eea25b3eaa147c92316f5870\",0,\"lean_workbook_12026\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391462,
+      "path": "data/train/p0d/oproofs-s00002-r00008284-n000004-0000-9697e73d69fa2533.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9697e73d69fa2533a6e1174f6de82ea619cbdd1bcaf39b725dc0662ae91f3aca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008288-n000004.json b/manifests/batches/oproofs/s00002-r00008288-n000004.json
index 88b5f90098cb64a4eae9f53e2d7b16d8fbcb5169..660a103887e7536d538812bcd38f803b775217bd 100644
--- a/manifests/batches/oproofs/s00002-r00008288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008288-n000004",
   "batch_fingerprint": "cfbd1bc35b66ddd653bb9ab24db15b3a9c81b2d31461acba69b5acb8d3c0e877",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008288-n000004-0000-1d3ed2c7047521cb.parquet",
-      "sha256": "1d3ed2c7047521cbd90025f41f8d987fa86bdee3eeb0c94baee5c96a3e5abee1",
-      "bytes": 540431,
-      "rows": 34,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008289.lean\",\"0ecf89c4330da621a3ccc7c48996d9cd3f286aa92b39756d40f5e234f82e796e\",0,\"lean_workbook_plus_24443\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008290.lean\",\"fcffbee79f0d3d3d5f95e0303fe789e74dfdaa564d024c110f9f7f177cfda3be\",0,\"lean_workbook_plus_62054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008291.lean\",\"0a4d5767d2d99e2a20eeae05f12ae16f03c908d39161d849b99152fa0b8b290a\",0,\"lean_workbook_plus_82836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 540431,
+      "path": "data/train/p4d/oproofs-s00002-r00008288-n000004-0000-1d3ed2c7047521cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "1d3ed2c7047521cbd90025f41f8d987fa86bdee3eeb0c94baee5c96a3e5abee1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008292-n000004.json b/manifests/batches/oproofs/s00002-r00008292-n000004.json
index 0a8a2b0b55a0e94cfa9d831ee2697f8004d4b559..561d44d29a10b0afc7424146d8448d9143f858eb 100644
--- a/manifests/batches/oproofs/s00002-r00008292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008292-n000004",
   "batch_fingerprint": "6fad5d3b58127651c6b1ef3131ef87ce8bc6571f21ca2c55f144de2caca34496",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008292-n000004-0000-a75a725975cbefc1.parquet",
-      "sha256": "a75a725975cbefc138034ca2ba2a573f8a456c4c33f4a9260b6ac8959e6c147a",
-      "bytes": 455159,
-      "rows": 12,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008293.lean\",\"52139076dc7d8976d06628f34d23b6033a8c729547629409f0443bed0e8bd534\",0,\"lean_workbook_plus_31994\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008294.lean\",\"49d033ce61bf24913827e17c49f061490f30c4c3771af25cc0c5b90f7e51199b\",0,\"lean_workbook_plus_24886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008295.lean\",\"6309d925f373d952680dc112a2d70a0bff2cdc108f6a5c35f62047e238fdeac7\",0,\"lean_workbook_plus_10506\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455159,
+      "path": "data/train/pf6/oproofs-s00002-r00008292-n000004-0000-a75a725975cbefc1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a75a725975cbefc138034ca2ba2a573f8a456c4c33f4a9260b6ac8959e6c147a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008296-n000004.json b/manifests/batches/oproofs/s00002-r00008296-n000004.json
index 00f8e86d5f1cc331cb741a3087dffe8c241a5768..ed6ee577e66437de6f0bd42587a8eae42a4f2d0b 100644
--- a/manifests/batches/oproofs/s00002-r00008296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008296-n000004",
   "batch_fingerprint": "ce3bd4e384a8fae4f358817e15ae17542e992991de4abfd2df72432a6eb204d6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8296",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8297",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8298",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8299"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008296.lean\",\"c8a478cac53a2f558383a64971b9ff7c0f44d2124cbc433ad72a7203d10a12a0\",0,\"lean_workbook_43762\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008297.lean\",\"374d0906c38ed7117216f87faed4e5c48607be8ae73cba7c57b6fff011f09f1a\",0,\"lean_workbook_plus_67172\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008298.lean\",\"22a7c806d6bb86bb4162850d4399ec5e65b62c655df3dbd7029a5d49edaf9dce\",0,\"lean_workbook_plus_10621\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008299.lean\",\"dc100a7c0b79139ce7d5d4bcf44f083e4b04e8ac1378bd96868f73f802cd0060\",0,\"lean_workbook_plus_62978\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008296-n000004-0000-0d2c619a955c6678.parquet",
-      "sha256": "0d2c619a955c66787316197b694bdf4334a1890df62be63fde6175b068d6471c",
       "bytes": 452932,
+      "path": "data/train/pea/oproofs-s00002-r00008296-n000004-0000-0d2c619a955c6678.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
+      "sha256": "0d2c619a955c66787316197b694bdf4334a1890df62be63fde6175b068d6471c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00008296-n000004-0001-dd3eeea229b190dc.parquet",
-      "sha256": "dd3eeea229b190dc8101cfc5df94debcd6695aa0c03e5a94858ac9e8cd6e00a3",
       "bytes": 647032,
+      "path": "data/train/pea/oproofs-s00002-r00008296-n000004-0001-dd3eeea229b190dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
+      "sha256": "dd3eeea229b190dc8101cfc5df94debcd6695aa0c03e5a94858ac9e8cd6e00a3"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008296-n000004-0000-b99bc46335e4f0b3.parquet",
-      "sha256": "b99bc46335e4f0b3f21cf5cd77935ebd836d08b49eaad67ad9121c92c8e60b03",
       "bytes": 266808,
+      "path": "data/internal_test/pea/oproofs-s00002-r00008296-n000004-0000-b99bc46335e4f0b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
+      "sha256": "b99bc46335e4f0b3f21cf5cd77935ebd836d08b49eaad67ad9121c92c8e60b03"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8296",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8297",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8298",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8299"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008296.lean\",\"c8a478cac53a2f558383a64971b9ff7c0f44d2124cbc433ad72a7203d10a12a0\",0,\"lean_workbook_43762\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008297.lean\",\"374d0906c38ed7117216f87faed4e5c48607be8ae73cba7c57b6fff011f09f1a\",0,\"lean_workbook_plus_67172\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008298.lean\",\"22a7c806d6bb86bb4162850d4399ec5e65b62c655df3dbd7029a5d49edaf9dce\",0,\"lean_workbook_plus_10621\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008299.lean\",\"dc100a7c0b79139ce7d5d4bcf44f083e4b04e8ac1378bd96868f73f802cd0060\",0,\"lean_workbook_plus_62978\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008300-n000004.json b/manifests/batches/oproofs/s00002-r00008300-n000004.json
index 0b83d458380efa7e75766aec581f0d1c2568d5f0..efd866f227227dde84aa8a417705b5027f591d48 100644
--- a/manifests/batches/oproofs/s00002-r00008300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008300-n000004",
   "batch_fingerprint": "17a97c714126a702e2b7f81004afb91bd9da381f45c783dc6195bf8d19aa1f19",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008300-n000004-0000-5a8b195800094c05.parquet",
-      "sha256": "5a8b195800094c054652159c33ef06142f4c4eb9d75f5160afdd1408ed5505fe",
-      "bytes": 597503,
-      "rows": 29,
-      "revision": "4b6bfe6be1f1b4d9425b1ae46566e5cf88e4b129"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008301.lean\",\"b7abcf0732e1b057ec62ada40fc388089b387dc7bea7c99dc8e8865ccc9900c5\",0,\"lean_workbook_16489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008302.lean\",\"9c6ca601100cb3a29f85737ba4789794a9d48091991bc47cc57fd97adcb874ef\",0,\"lean_workbook_plus_22315\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008303.lean\",\"01fc72eaeee54d42f21d417110055c670fcba7156a935455ee42643d5bd15573\",0,\"lean_workbook_plus_42386\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 597503,
+      "path": "data/train/pee/oproofs-s00002-r00008300-n000004-0000-5a8b195800094c05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "5a8b195800094c054652159c33ef06142f4c4eb9d75f5160afdd1408ed5505fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008304-n000004.json b/manifests/batches/oproofs/s00002-r00008304-n000004.json
index cc17504d2813bd51d2be78819f777844e58f3851..0eade29644a25a323052c20c6490fae01bc0b21f 100644
--- a/manifests/batches/oproofs/s00002-r00008304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008304-n000004",
   "batch_fingerprint": "b87add76699a4da70a82213e8f7f64b22c1655bf56708c961635e2d9f32236a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008304-n000004-0000-04fc0129792bce32.parquet",
-      "sha256": "04fc0129792bce32b3485860f53ca16fa4aa22842e18f3f60c8a17c8b701bee2",
-      "bytes": 102319,
-      "rows": 15,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008305.lean\",\"ecdee08059a56f0d2d2dce57e457d443f906765e1871d96dd45a19b8eca430e1\",0,\"lean_workbook_12499\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008306.lean\",\"daf3a87ea75fec1c64a2d833dd2bff0371efcb8c3721fe8101cc407817801d0a\",0,\"lean_workbook_plus_59232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008307.lean\",\"986d108ba3aa3564867aead174577a90e84ae55d689b2cf888059065f5d76c71\",0,\"shares_ratio_proof\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102319,
+      "path": "data/train/p21/oproofs-s00002-r00008304-n000004-0000-04fc0129792bce32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "04fc0129792bce32b3485860f53ca16fa4aa22842e18f3f60c8a17c8b701bee2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008308-n000004.json b/manifests/batches/oproofs/s00002-r00008308-n000004.json
index 82c14ff91f55767281a3583b8f6fc5981d8a3bb5..2e7ce1c947696c194118d3b549674ca7224cef51 100644
--- a/manifests/batches/oproofs/s00002-r00008308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008308-n000004",
   "batch_fingerprint": "0fccd858015a464f965b11be7c718d082da2c2fe4bbe6d6aee9ae42889f58b4c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008308-n000004-0000-2b46377ce90629d5.parquet",
-      "sha256": "2b46377ce90629d530eabfc2206d026d7a384319ee6aa4135814d25c3b786648",
-      "bytes": 168017,
-      "rows": 11,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008308-n000004-0000-2181f645fd895679.parquet",
-      "sha256": "2181f645fd895679d933e50c11da689edbb8c8e1d49aa9d3931be8d6b07e3a37",
-      "bytes": 102043,
-      "rows": 5,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008309.lean\",\"12bc6444996270e0be6068317bcbdcf0d03ade46352563073b353e6e9193400d\",0,\"lean_workbook_46198\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008310.lean\",\"1da4fa5d4cf07bdcaa003d3b025254b1c10261dc193a72984f3bdda8a5164405\",0,\"lean_workbook_plus_14729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008311.lean\",\"9625e2dd82e0d23758d830fcea4b3551c5850ed19da2b2ff67c6a4185875876a\",0,\"lean_workbook_plus_80642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168017,
+      "path": "data/train/p6f/oproofs-s00002-r00008308-n000004-0000-2b46377ce90629d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2b46377ce90629d530eabfc2206d026d7a384319ee6aa4135814d25c3b786648"
+    },
+    {
+      "bytes": 102043,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00008308-n000004-0000-2181f645fd895679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2181f645fd895679d933e50c11da689edbb8c8e1d49aa9d3931be8d6b07e3a37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008312-n000004.json b/manifests/batches/oproofs/s00002-r00008312-n000004.json
index 33f1bc964a672735f674d476cd712168f932afef..cc600eae46c2463a40eb47914eb57b93632883fa 100644
--- a/manifests/batches/oproofs/s00002-r00008312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008312-n000004",
   "batch_fingerprint": "7f1a6d34d99741d7dbe4dbe225a49273faa23ee769568716e290656e74034ed0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008312-n000004-0000-7e1b69c4d4566b33.parquet",
-      "sha256": "7e1b69c4d4566b3347c722b7512c5cb2fd9fdb1d27dabdb2a3b02998e07ef512",
-      "bytes": 348032,
-      "rows": 18,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008313.lean\",\"5e4eb2d537cffa8fdc8eaac1d743f97ec2ef50eec29d0f87c277908014a351d5\",0,\"lean_workbook_31638\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008314.lean\",\"8b1c307300ee247d1601cb443f202031613cc2d991c0c57e240fd44892ea2e66\",0,\"lean_workbook_plus_82476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008315.lean\",\"e85cd2d22e1f145616387fdbf69d6efe636d27838a7bacbb96753662b34812f6\",0,\"lean_workbook_plus_79756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348032,
+      "path": "data/train/p63/oproofs-s00002-r00008312-n000004-0000-7e1b69c4d4566b33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7e1b69c4d4566b3347c722b7512c5cb2fd9fdb1d27dabdb2a3b02998e07ef512"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008316-n000004.json b/manifests/batches/oproofs/s00002-r00008316-n000004.json
index c310778822e7e1e0bda2478ba1660ea938fcf16b..0a3fe673e549579a70c1e85ccbfe40a73b11b51c 100644
--- a/manifests/batches/oproofs/s00002-r00008316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008316-n000004",
   "batch_fingerprint": "eee06fef8deeaf4d8ef6f9ac8b28eeb88ef8b43ddf09799733c72384a65db871",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008316-n000004-0000-b1117f1b15e764c3.parquet",
-      "sha256": "b1117f1b15e764c32b87a0fb3f1584e2fa49787736233879aa7eb3a83458feca",
-      "bytes": 239221,
-      "rows": 17,
-      "revision": "b2e4e2d8d22d824b876fe8dfef50be5f129c439e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008317.lean\",\"20d6f8f0eb0c1140ddb4bcafb9233291c09c10b35b1b92aa276b41a8a84d7b5e\",0,\"lean_workbook_plus_79610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008318.lean\",\"464a30aaa2937e072f643d6236812d7c0fe531fd5651d36bf827a343a8407921\",0,\"lean_workbook_25197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008319.lean\",\"b703f7386e3aae6af825dc433dcf00cdf9bcf642a701a7b7bad1afa0b1c51490\",0,\"lean_workbook_plus_71643\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239221,
+      "path": "data/train/p36/oproofs-s00002-r00008316-n000004-0000-b1117f1b15e764c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b1117f1b15e764c32b87a0fb3f1584e2fa49787736233879aa7eb3a83458feca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008320-n000004.json b/manifests/batches/oproofs/s00002-r00008320-n000004.json
index 27d92a5b07ebcdf07f3154a81647d7b55a93d03b..bc6a34f71f599c6aeac407bc2fd3a996f24888ef 100644
--- a/manifests/batches/oproofs/s00002-r00008320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008320-n000004",
   "batch_fingerprint": "54a06cf9e7d6bbd8032b4da98a49111758a490b54e3d6e2e966cac62414711c3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008320-n000004-0000-96f53e66e046719f.parquet",
-      "sha256": "96f53e66e046719fbb65ae93f897e9bc42ac8ca32affa6f96e0fd215897755e7",
-      "bytes": 193974,
-      "rows": 19,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008320-n000004-0000-a52d1c6dffcae050.parquet",
-      "sha256": "a52d1c6dffcae0508d5977ab93ad92143dc150ca4c2f2bb70b6253bcb5aa6ef4",
-      "bytes": 113406,
-      "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008321.lean\",\"0a7b7a62b7a551e32b617835411baa97fa9ffb5778c9872e5e6fa545c33d04f2\",0,\"lean_workbook_plus_36200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008322.lean\",\"42ae0c3061d266d71233733b6ad1f04b41f58d07b47a47d736c92d60e8843b1b\",0,\"lean_workbook_plus_34663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008323.lean\",\"a0cba1b57cf71cc0bc078c8487d763d05572e9e9ea1ea2cd1c5f3328540e6c1b\",0,\"lean_workbook_plus_63648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193974,
+      "path": "data/train/p40/oproofs-s00002-r00008320-n000004-0000-96f53e66e046719f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "96f53e66e046719fbb65ae93f897e9bc42ac8ca32affa6f96e0fd215897755e7"
+    },
+    {
+      "bytes": 113406,
+      "path": "data/dev/p40/oproofs-s00002-r00008320-n000004-0000-a52d1c6dffcae050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a52d1c6dffcae0508d5977ab93ad92143dc150ca4c2f2bb70b6253bcb5aa6ef4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008324-n000004.json b/manifests/batches/oproofs/s00002-r00008324-n000004.json
index 031948741a27e909a28ed2111863f65f62f79881..77c1454b39ff15e131eb99f538b520a7f58b382e 100644
--- a/manifests/batches/oproofs/s00002-r00008324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008324-n000004",
   "batch_fingerprint": "71a1d285bb424d0265b543c6832627eb447e674c495b0da355bd71468aa603ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008324-n000004-0000-878e24facc699228.parquet",
-      "sha256": "878e24facc69922847b9f5f4a109968e3ff233e041b4b3091c431064bde706db",
-      "bytes": 253807,
-      "rows": 23,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008325.lean\",\"55ad30eb65d590ebc4ebbe71533c62671bd7bb266dc80af54847a16205848237\",0,\"lean_workbook_plus_78414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008326.lean\",\"d22ee5541a58761349409c56f6d6d9fd9e0076b34df8411af28e6f1f55fb56dd\",0,\"lean_workbook_plus_12222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008327.lean\",\"ec81062eb8197a7828b9eab1392ff4ae5e4365420b07c4ab36a06e43d9b6eaca\",0,\"lean_workbook_20797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253807,
+      "path": "data/train/p1c/oproofs-s00002-r00008324-n000004-0000-878e24facc699228.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "878e24facc69922847b9f5f4a109968e3ff233e041b4b3091c431064bde706db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008328-n000004.json b/manifests/batches/oproofs/s00002-r00008328-n000004.json
index 1f8481b73c33a8fb48f9eb38ab951cdc89376a79..a99d3ad6337df0ce465dd6a941009cdbb62e8574 100644
--- a/manifests/batches/oproofs/s00002-r00008328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008328-n000004",
   "batch_fingerprint": "482add84c455bcdd158ee6d950b6b054982e7808b8da0600b58b1591d16ba65f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008328-n000004-0000-7bd74fe5e2d20b61.parquet",
-      "sha256": "7bd74fe5e2d20b6113b1e147f9d72ad9708bbad52c05a61c6178654c5412f8a9",
-      "bytes": 489554,
-      "rows": 13,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008329.lean\",\"190a0d2c186d08c497ddcf1bb93ef17cfd0ad189f81b59ca7781a0cc75631d7a\",0,\"lean_workbook_plus_18998\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008330.lean\",\"a1f38fdd4436ab972f5df54e043e9f622debde3811d1fecb8f747e248918613b\",0,\"lean_workbook_plus_54172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008331.lean\",\"b7d9eb502ee0f82cdadbacf67cf39f6c4f3bee027d2fcd5c19d41e36babf672b\",0,\"lean_workbook_plus_71896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 489554,
+      "path": "data/train/p6a/oproofs-s00002-r00008328-n000004-0000-7bd74fe5e2d20b61.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7bd74fe5e2d20b6113b1e147f9d72ad9708bbad52c05a61c6178654c5412f8a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008332-n000004.json b/manifests/batches/oproofs/s00002-r00008332-n000004.json
index 3565123a468304e14d063c1dad982adab9bf49bd..5e6b0ec3e2d4da6fb3091e4dd1ca772ceb5dd8b9 100644
--- a/manifests/batches/oproofs/s00002-r00008332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008332-n000004",
   "batch_fingerprint": "33c42bd92db61a18442d47679c812a3b4bddd546ec7a61dac15e5d36a3f8d6d5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008332-n000004-0000-9fd374f50c441219.parquet",
-      "sha256": "9fd374f50c441219bfde5141cb6bbef54fd26f3671b3b7473105b54797cfa80e",
-      "bytes": 460297,
-      "rows": 20,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008333.lean\",\"89e83579af7eea65dc9fdabb3ec6ee081937f7c861846f2da4ff4038d50fe208\",0,\"lean_workbook_47714\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008334.lean\",\"b388bf7fc82534cba7ff404a2ac591871476852c735c4ac3a267923a4931828a\",0,\"lean_workbook_plus_69126\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008335.lean\",\"bfc523ed84eb204e22c734d6effa07c28335a57edb3d2b47055fc16507fd271a\",0,\"lean_workbook_plus_74974\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 460297,
+      "path": "data/train/pe9/oproofs-s00002-r00008332-n000004-0000-9fd374f50c441219.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9fd374f50c441219bfde5141cb6bbef54fd26f3671b3b7473105b54797cfa80e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008336-n000004.json b/manifests/batches/oproofs/s00002-r00008336-n000004.json
index c75aae4cdcf895fd6f081455ce10a566134e2485..cd2fb1a282ba9c06a6bfb5248b99ca1ad3b0ddad 100644
--- a/manifests/batches/oproofs/s00002-r00008336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008336-n000004",
   "batch_fingerprint": "bbe0fdc83ada2a1707b04073f01ebcb252be6418465e09a36698d8bfcee6a081",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008336-n000004-0000-23422f6567a264d5.parquet",
-      "sha256": "23422f6567a264d56683335fbe9ab79a2f031ba9ad211140da33cf8a614ad0b6",
-      "bytes": 660904,
-      "rows": 15,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008336-n000004-0001-d555a8c5da067b4a.parquet",
-      "sha256": "d555a8c5da067b4a58374e57cece2336eed608d2cee207cfd33e8f91c0c0c8b0",
-      "bytes": 526504,
-      "rows": 2,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8337",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008337.lean\",\"155518d2e13554390e5e194d3801611b1ac6c00467792ba2ca139cf2a21db87c\",0,\"lean_workbook_20323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008338.lean\",\"4ea8924328bbbe01a0bc7eeaf606b3872f875bd176aa5e831db43ca38a871715\",0,\"lean_workbook_plus_57485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008339.lean\",\"53694721732ddf273cf4d7bd372339d98cbe08660a0460d3fc61e306be0afc9f\",0,\"lean_workbook_48067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 660904,
+      "path": "data/train/p85/oproofs-s00002-r00008336-n000004-0000-23422f6567a264d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "23422f6567a264d56683335fbe9ab79a2f031ba9ad211140da33cf8a614ad0b6"
+    },
+    {
+      "bytes": 526504,
+      "path": "data/train/p85/oproofs-s00002-r00008336-n000004-0001-d555a8c5da067b4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "d555a8c5da067b4a58374e57cece2336eed608d2cee207cfd33e8f91c0c0c8b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008340-n000004.json b/manifests/batches/oproofs/s00002-r00008340-n000004.json
index b2fd09660eab04c842ab78e5b7bb423ebf8ae139..ab578d9f88f23817b98f03bae816ed77848b94c7 100644
--- a/manifests/batches/oproofs/s00002-r00008340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008340-n000004",
   "batch_fingerprint": "a3268f17b2d84ecb390d2dcce9a3959ba8675debb570a800b83f562507e945ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008340-n000004-0000-2a91a7e56731ad74.parquet",
-      "sha256": "2a91a7e56731ad746633226bf7e54566c2376f29e28c5fd7a02991d46ff6a8be",
-      "bytes": 345589,
-      "rows": 13,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008340-n000004-0000-6f2f421f788e884d.parquet",
-      "sha256": "6f2f421f788e884de57e9100be7311c5fe96b2268c50bbfde0db6d7839d7ad1e",
-      "bytes": 74028,
-      "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008341.lean\",\"3e24586bd9aaa3aff646dc9402b95d6449a64c5d4393eb155acf5e70c8e1be40\",0,\"lean_workbook_plus_52001\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008342.lean\",\"a6d237256252f451f5866ee0209f5facceabb86e9ffa3fa64ba52aaadadd612a\",0,\"lean_workbook_21277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008343.lean\",\"e0111b31ddb0ca90558fea159db7a8a24cf2f25c79ac2b740fab658307195074\",0,\"lean_workbook_plus_67328\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345589,
+      "path": "data/train/p87/oproofs-s00002-r00008340-n000004-0000-2a91a7e56731ad74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2a91a7e56731ad746633226bf7e54566c2376f29e28c5fd7a02991d46ff6a8be"
+    },
+    {
+      "bytes": 74028,
+      "path": "data/internal_test/p87/oproofs-s00002-r00008340-n000004-0000-6f2f421f788e884d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6f2f421f788e884de57e9100be7311c5fe96b2268c50bbfde0db6d7839d7ad1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008344-n000004.json b/manifests/batches/oproofs/s00002-r00008344-n000004.json
index 88e006045258a73283a66853682ce42ba768bee6..fcb12e8a1372a8c3f44ca7f1cfca39a2a1fcc8be 100644
--- a/manifests/batches/oproofs/s00002-r00008344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008344-n000004",
   "batch_fingerprint": "cb27d6f0c7b2f10699c8ebdcbe36d28497c82c9fc24efa318e3faaa0d6733124",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008344-n000004-0000-f5bb2b7976e491dd.parquet",
-      "sha256": "f5bb2b7976e491dd0668ca6490534c0024a5e04f06ffedc5d783c4dada36a162",
-      "bytes": 565493,
-      "rows": 27,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008344-n000004-0000-7b65bd5579e3254e.parquet",
-      "sha256": "7b65bd5579e3254e8bd092d84e38229431cad6d1864bd0ebd24665816516203f",
-      "bytes": 45863,
-      "rows": 3,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008345.lean\",\"c53501e4531fdf13fbcab23c78d4b0c654792603a390b4a040b8f7e0768008a2\",0,\"lean_workbook_22819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008346.lean\",\"95d2b93707048b9a4966f0f3c79dcedbc702815d8bb7afbc438a14efdaab1af9\",0,\"lean_workbook_plus_53514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008347.lean\",\"3fb5832dfc56828fb089f86a956c3deb43416222a2d72e1159093ce401305f42\",0,\"lean_workbook_plus_61725\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565493,
+      "path": "data/train/pb9/oproofs-s00002-r00008344-n000004-0000-f5bb2b7976e491dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "f5bb2b7976e491dd0668ca6490534c0024a5e04f06ffedc5d783c4dada36a162"
+    },
+    {
+      "bytes": 45863,
+      "path": "data/dev/pb9/oproofs-s00002-r00008344-n000004-0000-7b65bd5579e3254e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7b65bd5579e3254e8bd092d84e38229431cad6d1864bd0ebd24665816516203f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008348-n000004.json b/manifests/batches/oproofs/s00002-r00008348-n000004.json
index 1820d5269f72e81239c90778d0e04b6dc79678d6..7fd07e07ee2082de2654fd18d05568095f415f3f 100644
--- a/manifests/batches/oproofs/s00002-r00008348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008348-n000004",
   "batch_fingerprint": "b12628de49a14097bbe8545879015fa7c1d7132a2b8c62fafce68d90de017b58",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008348-n000004-0000-e462388c06cee46c.parquet",
-      "sha256": "e462388c06cee46ccf9e2af91827bd5641bca6de8052a242bd065bd9bd69601d",
-      "bytes": 970149,
-      "rows": 28,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008348-n000004-0000-8bf085e5af3ef67e.parquet",
-      "sha256": "8bf085e5af3ef67e79281aff3a1f507583617ab20209e11c9d8f5eb7606263c5",
-      "bytes": 42750,
-      "rows": 2,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008349.lean\",\"271144e801f837e413658f8be0c8cf10c510dd99ecc7f85d2c8ae877910b5b29\",0,\"lean_workbook_plus_6116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008350.lean\",\"8171a5d3167ef3c63de1d186ca804e29b121b7f4e8d6d128187e5a29b93f723a\",0,\"lean_workbook_plus_72391\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008351.lean\",\"d748e8af2d9777879f0355ae1772d1497921e637351cefb52fb614481fd2dcd6\",0,\"lean_workbook_plus_35956\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 970149,
+      "path": "data/train/p7c/oproofs-s00002-r00008348-n000004-0000-e462388c06cee46c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "e462388c06cee46ccf9e2af91827bd5641bca6de8052a242bd065bd9bd69601d"
+    },
+    {
+      "bytes": 42750,
+      "path": "data/dev/p7c/oproofs-s00002-r00008348-n000004-0000-8bf085e5af3ef67e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8bf085e5af3ef67e79281aff3a1f507583617ab20209e11c9d8f5eb7606263c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008352-n000004.json b/manifests/batches/oproofs/s00002-r00008352-n000004.json
index 69fde94147e7e72f350f4c2794971c6cd2cf2328..acdfd92fb8993587e9052049a1970683f092b94d 100644
--- a/manifests/batches/oproofs/s00002-r00008352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008352-n000004",
   "batch_fingerprint": "f59657a0f2016ae1ba960a7eea1d75ce12c2aab5732d9069b27d4e65c2b8eb9c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008352-n000004-0000-add71a066448404b.parquet",
-      "sha256": "add71a066448404b98f974afa3f51178067d5d82d36b883e269a5a0d8be6fc00",
-      "bytes": 400511,
-      "rows": 20,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008353.lean\",\"fdfe0a78580082562d6ec608e636ea7216577c4e22655a9cf2f2b39ef149e0bb\",0,\"lean_workbook_plus_37463\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008354.lean\",\"0c025f897e3546c0b074aa86dfbac22bed62297e9395a18a879a5109eda0183e\",0,\"lean_workbook_12026\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008355.lean\",\"f09fb720d9aa2c5fb01ad52d9bbfb6191b548162967bff145c23c3b3088db756\",0,\"lean_workbook_37034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 400511,
+      "path": "data/train/p66/oproofs-s00002-r00008352-n000004-0000-add71a066448404b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "add71a066448404b98f974afa3f51178067d5d82d36b883e269a5a0d8be6fc00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008356-n000004.json b/manifests/batches/oproofs/s00002-r00008356-n000004.json
index 128a2a54cd1479868aebac43388493d9c50b1f39..6ceae04ce78d4cc6e3b907e5c1db52149baa32f5 100644
--- a/manifests/batches/oproofs/s00002-r00008356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008356-n000004",
   "batch_fingerprint": "e75c73152cf1ce93705ee98dfb77002196c5ad18883923cc89ac4263409f93da",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008356-n000004-0000-5819f9c8ebf250e8.parquet",
-      "sha256": "5819f9c8ebf250e8882ad8c711fdca9ea7c57c5b8021947c1c74060f8ef341c8",
-      "bytes": 856905,
-      "rows": 11,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008356-n000004-0001-0cc487462780ebf4.parquet",
-      "sha256": "0cc487462780ebf45468f579b803e499b9f2bf2bdd5eccab863109d2a969e4da",
-      "bytes": 420428,
-      "rows": 16,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8357",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008357.lean\",\"ed9d8cdf5a426ac2c3735c810ff208330437b2a3a06a1c0778cb09097ebcf7ce\",0,\"lean_workbook_17413\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008358.lean\",\"d9609b6740fec6e48c2ffc00a04dc980f92d83859707ae5feb659980ad8a3735\",0,\"lean_workbook_15279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008359.lean\",\"bed146a8b337718c589544ba72c093a6213f010606d55049dbc171f43a093d76\",0,\"lean_workbook_plus_24443\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 856905,
+      "path": "data/train/pd6/oproofs-s00002-r00008356-n000004-0000-5819f9c8ebf250e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "5819f9c8ebf250e8882ad8c711fdca9ea7c57c5b8021947c1c74060f8ef341c8"
+    },
+    {
+      "bytes": 420428,
+      "path": "data/train/pd6/oproofs-s00002-r00008356-n000004-0001-0cc487462780ebf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0cc487462780ebf45468f579b803e499b9f2bf2bdd5eccab863109d2a969e4da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008360-n000004.json b/manifests/batches/oproofs/s00002-r00008360-n000004.json
index d3f45e5887f3942844a0798dd172b960d9bc8794..d9a1f509fdf7b73fe452615eb34184413093e015 100644
--- a/manifests/batches/oproofs/s00002-r00008360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008360-n000004",
   "batch_fingerprint": "b728b73ba252d77297b62fa23f781470d997bc24c9472671c094ce81fbded099",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008360-n000004-0000-88bbed9c0ccdde19.parquet",
-      "sha256": "88bbed9c0ccdde19b9cdd82342e4f01db9c5844b1ad0d229e9da8b74c64be70d",
-      "bytes": 190847,
-      "rows": 17,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008361.lean\",\"68cb43919547438e61340cf653bd359c79a4fa89817a552fe6b643db51421dd0\",0,\"lean_workbook_plus_62054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008362.lean\",\"86279896925bac5cdf1f5412a67ff4c6993ad23c3b4ecb0cc2bfef2bffbde8ef\",0,\"lean_workbook_39691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008363.lean\",\"ad2bd918c3615c50ca88ee95aca7b8a619aba0e6d3436795004fe0c6c0e5a6d5\",0,\"lean_workbook_plus_63483\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190847,
+      "path": "data/train/p8b/oproofs-s00002-r00008360-n000004-0000-88bbed9c0ccdde19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "88bbed9c0ccdde19b9cdd82342e4f01db9c5844b1ad0d229e9da8b74c64be70d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008364-n000004.json b/manifests/batches/oproofs/s00002-r00008364-n000004.json
index 9b9302a683c0eba8c9f8eb40a92510aa1984d237..119137ce79bc2fb3cdbb1cc5dff0f651d84add5f 100644
--- a/manifests/batches/oproofs/s00002-r00008364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008364-n000004",
   "batch_fingerprint": "0229a82c25686bff93f5d02bf3eb37b1ed3985193f04b123523d9f523180e3a5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008364-n000004-0000-f14e303c6749aa70.parquet",
-      "sha256": "f14e303c6749aa7019ea6f22064a6da65afc254f30276ba8f99cec0ad12d9250",
-      "bytes": 149098,
-      "rows": 11,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008365.lean\",\"9643bd3cbf879186b378a2559ceded029811db53fdc1f6ca2329431a1bc8615a\",0,\"lean_workbook_43762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008366.lean\",\"55a0b9c0264d59541fcc85e60dc0c0bdd70c93484d849bb32df47fd5b885c103\",0,\"lean_workbook_plus_67172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008367.lean\",\"3d15d44a15db31b5e0d8eb53793a724876e19f15e77760149de3e714cbc2dce7\",0,\"lean_workbook_16489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149098,
+      "path": "data/train/p9b/oproofs-s00002-r00008364-n000004-0000-f14e303c6749aa70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f14e303c6749aa7019ea6f22064a6da65afc254f30276ba8f99cec0ad12d9250"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008368-n000004.json b/manifests/batches/oproofs/s00002-r00008368-n000004.json
index 6fb8aecd6d529bcae53d39c30cf2ee07c5b98e10..996da3c2a5d1bf558811f95b9e6674110fa5f142 100644
--- a/manifests/batches/oproofs/s00002-r00008368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008368-n000004",
   "batch_fingerprint": "d1ea8b7e29f733363e20e3704ff224ea4ff92c1db98250814cf6daaf0c4ff2b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008368-n000004-0000-dc1b6c25a8647337.parquet",
-      "sha256": "dc1b6c25a8647337c88dcd0843dc7dcad49400f5c95a6fa53734c1405d1d6978",
-      "bytes": 109455,
-      "rows": 10,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008368-n000004-0000-fd53aba957e39946.parquet",
-      "sha256": "fd53aba957e3994617df9ea221b1b9f1cb0bc43f86ffbab04dd8fd383a5f19bd",
-      "bytes": 94598,
-      "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008369.lean\",\"d477078f068e6f04ecb85a5ea4a0f133c2a5da37ba2aba0b99bd35927fef81ee\",0,\"lean_workbook_25293\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008370.lean\",\"91ed00189f6a6ffaeed2a7e19cd2b79e6c2fcb82768455567a2c877bc008c31e\",0,\"lean_workbook_plus_39535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008371.lean\",\"1e681f0b3e7b43146838b8a6b78239a7028674c5bba514cd4a3355dc96d1b1cb\",0,\"lean_workbook_plus_12439\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109455,
+      "path": "data/train/ped/oproofs-s00002-r00008368-n000004-0000-dc1b6c25a8647337.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "dc1b6c25a8647337c88dcd0843dc7dcad49400f5c95a6fa53734c1405d1d6978"
+    },
+    {
+      "bytes": 94598,
+      "path": "data/internal_test/ped/oproofs-s00002-r00008368-n000004-0000-fd53aba957e39946.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "fd53aba957e3994617df9ea221b1b9f1cb0bc43f86ffbab04dd8fd383a5f19bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008372-n000004.json b/manifests/batches/oproofs/s00002-r00008372-n000004.json
index f862b0137105793e50796b309b7e3042815bae05..4fd18eb2997066c5c3d3fb236479fa6fd1be8a26 100644
--- a/manifests/batches/oproofs/s00002-r00008372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008372-n000004",
   "batch_fingerprint": "c50a0448e889e3e90a154cf03ced14833c6ca33a4136e9b56b3475426cbd1b41",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008372-n000004-0000-1e36c05e8ab2af50.parquet",
-      "sha256": "1e36c05e8ab2af5087004523b8c211931c8b95f6398f4de710deb479260918ac",
-      "bytes": 74653,
-      "rows": 6,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008372-n000004-0000-3117e5e01675dba5.parquet",
-      "sha256": "3117e5e01675dba568db3c4500d0d86a68c30065f50ef8bf4830417ec8b1ece6",
-      "bytes": 100377,
-      "rows": 9,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008373.lean\",\"9aeef40396f037c02d0444ad96214e7c0ca4236d800d97aa5aba2e7afde66de6\",0,\"lean_workbook_plus_64204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008374.lean\",\"fa56a538371039ee5e2475548abde6239f3a5e23b82fc1b19960f1bb339464a7\",0,\"lean_workbook_plus_27569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008375.lean\",\"796a989b61eb136ec558cd714bae03b1dc88e582f8a5df937dd4714ec33f08f6\",0,\"lean_workbook_plus_67351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74653,
+      "path": "data/train/pef/oproofs-s00002-r00008372-n000004-0000-1e36c05e8ab2af50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1e36c05e8ab2af5087004523b8c211931c8b95f6398f4de710deb479260918ac"
+    },
+    {
+      "bytes": 100377,
+      "path": "data/dev/pef/oproofs-s00002-r00008372-n000004-0000-3117e5e01675dba5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3117e5e01675dba568db3c4500d0d86a68c30065f50ef8bf4830417ec8b1ece6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008376-n000004.json b/manifests/batches/oproofs/s00002-r00008376-n000004.json
index eb3d6b0a73b7c45b1269173b94cb6ffda0185e0f..746fe9f65cc36572877fdefe9842214627314e16 100644
--- a/manifests/batches/oproofs/s00002-r00008376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008376-n000004",
   "batch_fingerprint": "927b0d2bd3c2a1dea642a36aff5de713da946e7f58482ada725069196b9e2f93",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008376-n000004-0000-1cec9cde62433269.parquet",
-      "sha256": "1cec9cde6243326992930f8636bcfe6e8ec844a0b9335b450ad6c49ac1f4fd1d",
-      "bytes": 178016,
-      "rows": 17,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008376-n000004-0000-a5a966eac45c357d.parquet",
-      "sha256": "a5a966eac45c357df7eb2e3f54410637ca04dfc141b0e58d3160be98c05a8f87",
-      "bytes": 41802,
-      "rows": 2,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008377.lean\",\"8275703da58116a37e80451e74fbfd4a9db49e6e739016c29906d8638618d8f6\",0,\"lean_workbook_plus_61437\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008378.lean\",\"1f1dd5a8a47fb76f6d3049b0571f009a4c5fd2653022f4a8a11c2f0b0f774530\",0,\"lean_workbook_plus_64524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008379.lean\",\"f716181908fe37fa8f3aadf76b8bbf6fb88a6744eaa4f7526662e98b12b815e0\",0,\"lean_workbook_plus_81436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178016,
+      "path": "data/train/pf6/oproofs-s00002-r00008376-n000004-0000-1cec9cde62433269.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1cec9cde6243326992930f8636bcfe6e8ec844a0b9335b450ad6c49ac1f4fd1d"
+    },
+    {
+      "bytes": 41802,
+      "path": "data/dev/pf6/oproofs-s00002-r00008376-n000004-0000-a5a966eac45c357d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a5a966eac45c357df7eb2e3f54410637ca04dfc141b0e58d3160be98c05a8f87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008380-n000004.json b/manifests/batches/oproofs/s00002-r00008380-n000004.json
index 15143bf35ddc233ad514a9c290d386051f96f008..4f52318f13b8ab52b93a6964582542f5a1da9c5e 100644
--- a/manifests/batches/oproofs/s00002-r00008380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008380-n000004",
   "batch_fingerprint": "6ae908b4cd728dfde3fc99a59b1d12bc9e03c285f068beab500d0bd0f82623c4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008380-n000004-0000-e004c6b6869823a8.parquet",
-      "sha256": "e004c6b6869823a83654d82f28cf3bd9f9bffa472765a2440bc08606368526c9",
-      "bytes": 348680,
-      "rows": 27,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008381.lean\",\"be879f5e729a54d4999970ea634d547dac4ee33d7a3892345d8f7317eeefbb75\",0,\"lean_workbook_plus_3133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008382.lean\",\"62160447599ab01f2a9f7305e1b8b2d768d9c7ea6992eb09886683884d67b446\",0,\"lean_workbook_plus_78341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008383.lean\",\"8b9eadd7f259afe4d574254162d1ceb2e7e60510187f0c859781584836e63ace\",0,\"lean_workbook_plus_82138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348680,
+      "path": "data/train/pa0/oproofs-s00002-r00008380-n000004-0000-e004c6b6869823a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "e004c6b6869823a83654d82f28cf3bd9f9bffa472765a2440bc08606368526c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008384-n000004.json b/manifests/batches/oproofs/s00002-r00008384-n000004.json
index bd95133176cbae757e3bc5c652e372a2dba20f95..6e385ad17ac4ed8560f0146cfd1e30c49a6da369 100644
--- a/manifests/batches/oproofs/s00002-r00008384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008384-n000004",
   "batch_fingerprint": "32a1b67d8f0bf1deb742569070ebf3c2833342ccb890b4af53e2917eeb183d3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008384-n000004-0000-99c53879a8cb3587.parquet",
-      "sha256": "99c53879a8cb358740921ff589aebc045122c9258155054d282dd2c83437c8d4",
-      "bytes": 138537,
-      "rows": 12,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008384-n000004-0000-c9d22fca89075711.parquet",
-      "sha256": "c9d22fca89075711873f2c8eec1deabe7389f239dd21077439e7b455923f651d",
-      "bytes": 93994,
-      "rows": 6,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008385.lean\",\"d43be98cac65a0a30e93dababef9ec54803489b1f962e8a4735d0aead4b7a307\",0,\"lean_workbook_plus_62455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008386.lean\",\"250a9abdaa867774fa2132e3fb46bf1a16e601638925f34960f85fa215250b19\",0,\"lean_workbook_plus_74418\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008387.lean\",\"99fd4671e9884bfec80c22abd932bdd8bace12c7822d87bd57e3e11bf4f02fdd\",0,\"lean_workbook_plus_38303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138537,
+      "path": "data/train/p70/oproofs-s00002-r00008384-n000004-0000-99c53879a8cb3587.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "99c53879a8cb358740921ff589aebc045122c9258155054d282dd2c83437c8d4"
+    },
+    {
+      "bytes": 93994,
+      "path": "data/dev/p70/oproofs-s00002-r00008384-n000004-0000-c9d22fca89075711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c9d22fca89075711873f2c8eec1deabe7389f239dd21077439e7b455923f651d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008388-n000004.json b/manifests/batches/oproofs/s00002-r00008388-n000004.json
index 13479ef2eaec613b60804b59b9f9ebd7d0adb7c7..2a56f15d73ae59ec4b17a635c5f3d429b899bd4d 100644
--- a/manifests/batches/oproofs/s00002-r00008388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008388-n000004",
   "batch_fingerprint": "de1422ebdb1de793dc402a1c21fb189b09af2d1f39a99412d2fbd5d37683ea5d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008388-n000004-0000-3a4a29dc1472780b.parquet",
-      "sha256": "3a4a29dc1472780b25d88a2f74aec33f1c46c313b5c539bffb5612b16233c5b5",
-      "bytes": 255591,
-      "rows": 14,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008388-n000004-0000-c2a2ae658326ff06.parquet",
-      "sha256": "c2a2ae658326ff063f03d8599b5752c07ddcde8d7a5fd4e3185f81c8a0bae944",
-      "bytes": 188097,
-      "rows": 7,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008389.lean\",\"f4b0b306e025e75f23c7b05992804587430eea091dacf3268a1ff0c3a0de9bfa\",0,\"lean_workbook_13992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008390.lean\",\"a5612295f1e95b7370d4c41bb23ce4b7395abe5b5e26a26055e28b5e65f03c90\",0,\"lean_workbook_plus_7869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008391.lean\",\"3d33fa9571090753589c14c8dbd522f258b66cfabf8d3ba5275acbad8b3b1058\",0,\"lean_workbook_plus_58200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255591,
+      "path": "data/train/pae/oproofs-s00002-r00008388-n000004-0000-3a4a29dc1472780b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "3a4a29dc1472780b25d88a2f74aec33f1c46c313b5c539bffb5612b16233c5b5"
+    },
+    {
+      "bytes": 188097,
+      "path": "data/dev/pae/oproofs-s00002-r00008388-n000004-0000-c2a2ae658326ff06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c2a2ae658326ff063f03d8599b5752c07ddcde8d7a5fd4e3185f81c8a0bae944"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008392-n000004.json b/manifests/batches/oproofs/s00002-r00008392-n000004.json
index ad129acdea1cc198ee4d1b5f2074641d4ae62f5f..202e955ff015deab96350a4039c6020d56371e70 100644
--- a/manifests/batches/oproofs/s00002-r00008392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008392-n000004",
   "batch_fingerprint": "4df1b51f36a9dc97a7aca43eaa6f69f5ef9485f870d16fa589ae1a6d0ce858fd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008392-n000004-0000-399827d0a438d58e.parquet",
-      "sha256": "399827d0a438d58e8e8210ecc806617b550ff91d79c0952fd296b6a05fca7d54",
-      "bytes": 112837,
-      "rows": 8,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008392-n000004-0000-2399d4e23684d3fd.parquet",
-      "sha256": "2399d4e23684d3fd1ba8da8d66686cd5f641ba3bd2006afb80b98b51a89b00ee",
-      "bytes": 118561,
-      "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008393.lean\",\"7a4520f4931fc129e622108297d854adde8e459d1a74d4d1f847cbbd31a06ceb\",0,\"lean_workbook_plus_46583\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008394.lean\",\"ce1e38ed44f6d958e90be857227ed33e0b530927ed5a05b059ccd028cdc2e6d6\",0,\"lean_workbook_plus_57201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008395.lean\",\"f8e013416321cbc307d19a1f7340b215cfebef1ab3007ee727fdbdd50e32953e\",0,\"lean_workbook_23832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112837,
+      "path": "data/train/p65/oproofs-s00002-r00008392-n000004-0000-399827d0a438d58e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "399827d0a438d58e8e8210ecc806617b550ff91d79c0952fd296b6a05fca7d54"
+    },
+    {
+      "bytes": 118561,
+      "path": "data/internal_test/p65/oproofs-s00002-r00008392-n000004-0000-2399d4e23684d3fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2399d4e23684d3fd1ba8da8d66686cd5f641ba3bd2006afb80b98b51a89b00ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008396-n000004.json b/manifests/batches/oproofs/s00002-r00008396-n000004.json
index 4256c7a4762a385c371aec7a72dc12e994ca95d3..58b0242dd10c7f4ae03cec3b1cffaa58d8a7fbdf 100644
--- a/manifests/batches/oproofs/s00002-r00008396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008396-n000004",
   "batch_fingerprint": "1d71f62482a5316591109a62b70b313b5e71743e7dba8ac6c5c4c38ca3197051",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008396-n000004-0000-f9356cfd109fab00.parquet",
-      "sha256": "f9356cfd109fab00a09d47ca7b6b83cdfea4244b157c1e5f07da8a1726f2bd38",
-      "bytes": 244095,
-      "rows": 22,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008397.lean\",\"617c1a58b3bea5eba9c981bea2f8e7ea333901cc55ce608f0ac34badb4221818\",0,\"lean_workbook_plus_11474\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008398.lean\",\"f34812c7c17df07ee667e17b2fe16a099779f8a6c421716d0abadf42f26c9aea\",0,\"lean_workbook_42221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008399.lean\",\"37b93fa19e954ccd2e03293ba32e7296c8fb614da448d3bb7861869833288b89\",0,\"lean_workbook_36003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244095,
+      "path": "data/train/p4c/oproofs-s00002-r00008396-n000004-0000-f9356cfd109fab00.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f9356cfd109fab00a09d47ca7b6b83cdfea4244b157c1e5f07da8a1726f2bd38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008400-n000004.json b/manifests/batches/oproofs/s00002-r00008400-n000004.json
index e6d3a2e075766311a3a171c201719b7fa9cf4c3d..a6b51e235f2f9f3312aba7d421d09a3b56b842b4 100644
--- a/manifests/batches/oproofs/s00002-r00008400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008400-n000004",
   "batch_fingerprint": "b1b964b9f4a34c767c331e2a5614c914a4df27a2543ece984dfe7266f1ca61ac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008400-n000004-0000-798a887a3c415c4a.parquet",
-      "sha256": "798a887a3c415c4aaca92c28be42773809df859ea703f9d5aa12c1c644461c54",
-      "bytes": 232489,
-      "rows": 12,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008400-n000004-0000-a5daa42556fbb04d.parquet",
-      "sha256": "a5daa42556fbb04d64c4de36e4b9cc7f41fe06793ca9f48fc7129e3ede82eab9",
-      "bytes": 103531,
-      "rows": 2,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008401.lean\",\"97f17a3b0dd7b57fa4038fbfb7183a99e96859305252333e4dabe4f4292fc8ab\",0,\"lean_workbook_plus_62705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008402.lean\",\"cf6fc01c4180db3abfb65b05f8b313a20792336d46dedafb312491e6fe866708\",0,\"lean_workbook_plus_47361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008403.lean\",\"b0db88228cfd603d1c2d06a1ba1dd9dab5b7db70c9b48c27fc9ded6c46e524d0\",0,\"lean_workbook_plus_49561\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232489,
+      "path": "data/train/p97/oproofs-s00002-r00008400-n000004-0000-798a887a3c415c4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "798a887a3c415c4aaca92c28be42773809df859ea703f9d5aa12c1c644461c54"
+    },
+    {
+      "bytes": 103531,
+      "path": "data/dev/p97/oproofs-s00002-r00008400-n000004-0000-a5daa42556fbb04d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a5daa42556fbb04d64c4de36e4b9cc7f41fe06793ca9f48fc7129e3ede82eab9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008404-n000004.json b/manifests/batches/oproofs/s00002-r00008404-n000004.json
index 3d1f62dab18875dd3c1578abf83bf48f42921c15..0de6ed7d368d5651956b938ce2e0b2139eb44e69 100644
--- a/manifests/batches/oproofs/s00002-r00008404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008404-n000004",
   "batch_fingerprint": "538af8a5d4b05b92a82450fd25c1604f687f2d7e07ab4e154828bd335428e2ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008404-n000004-0000-4cab20e5ddac8c76.parquet",
-      "sha256": "4cab20e5ddac8c76c424c7c33f81f5cc24a6d987b984fce720fbec1f8b377e32",
-      "bytes": 324587,
-      "rows": 12,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008404-n000004-0000-71a8d4b93fec11c2.parquet",
-      "sha256": "71a8d4b93fec11c279456d4964f8dc008f5af57814c7557893b6116206ad5ff5",
-      "bytes": 845483,
-      "rows": 12,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8405",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008405.lean\",\"cbbd6bc80af3cb1c5eb0797b1636243a0c054d769d9db4dccdaa540957b93cef\",0,\"lean_workbook_35426\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008406.lean\",\"291c0ccff2f87cb19c0d04ec1795de7cce1b373b39239e2284b0b7c66d5b0f6b\",0,\"lean_workbook_plus_72484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008407.lean\",\"74ccf01b312bba06eda228774b8b9935684c299a3d7eec4fca1e6f7977d1429b\",0,\"lean_workbook_plus_82398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324587,
+      "path": "data/train/p56/oproofs-s00002-r00008404-n000004-0000-4cab20e5ddac8c76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4cab20e5ddac8c76c424c7c33f81f5cc24a6d987b984fce720fbec1f8b377e32"
+    },
+    {
+      "bytes": 845483,
+      "path": "data/internal_test/p56/oproofs-s00002-r00008404-n000004-0000-71a8d4b93fec11c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "71a8d4b93fec11c279456d4964f8dc008f5af57814c7557893b6116206ad5ff5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008408-n000004.json b/manifests/batches/oproofs/s00002-r00008408-n000004.json
index 65c8c8e518402c81a02e1338650be6acd9cc93f8..86299692b247d937521497539706b9f443ce199b 100644
--- a/manifests/batches/oproofs/s00002-r00008408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008408-n000004",
   "batch_fingerprint": "ba4c63b21953db26d1febe57c3225089eda0330fb9acc778b48cdc8fd0ff18fa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008408-n000004-0000-099e45f187875752.parquet",
-      "sha256": "099e45f187875752e7823d80c4f40a46c86f56d5cc5b4866094c36dc366fd697",
-      "bytes": 142643,
-      "rows": 12,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008408-n000004-0000-9839d250a10fd211.parquet",
-      "sha256": "9839d250a10fd211aa4725e0269360a861a544ae10bf8308207584185884a230",
-      "bytes": 33374,
-      "rows": 2,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8409",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008409.lean\",\"a729c9f3696ea018afbba038f16e6bb47d9922739e926d7deaf1c4bd0ee75633\",0,\"lean_workbook_plus_27170\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008410.lean\",\"6298600b5d534162a2bc3363ce600bff9f5d8d2dd28a16e7bc1cafbb1fd37315\",0,\"lean_workbook_plus_62635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008411.lean\",\"264808913928f1ff1ab910283a290d7c07e631e48817aa1dba70006143a208b2\",0,\"lean_workbook_10891\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142643,
+      "path": "data/train/pe4/oproofs-s00002-r00008408-n000004-0000-099e45f187875752.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "099e45f187875752e7823d80c4f40a46c86f56d5cc5b4866094c36dc366fd697"
+    },
+    {
+      "bytes": 33374,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00008408-n000004-0000-9839d250a10fd211.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9839d250a10fd211aa4725e0269360a861a544ae10bf8308207584185884a230"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008412-n000004.json b/manifests/batches/oproofs/s00002-r00008412-n000004.json
index 9685af4d3e3b2fd6e12b07333f2f35945ce4fbcd..bf8bd0cbb768e1b0cc4ea468f93d57d4a8001a1f 100644
--- a/manifests/batches/oproofs/s00002-r00008412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008412-n000004",
   "batch_fingerprint": "5d94b16804c0fd6c980f277ed061aec5cef1dbe2eee1b2d561a6f20be6f81415",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008412-n000004-0000-c89ea520576415ae.parquet",
-      "sha256": "c89ea520576415ae9ff03b22cd3e19713faa23331adeec54d79ca6eedd69e279",
-      "bytes": 328167,
-      "rows": 14,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008413.lean\",\"eca2bd76b9ee0fae3acf2e607846c196445a67eb9538dcd980a239cc5bda7036\",0,\"trapezoid_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008414.lean\",\"b5db7898bb89a2e40a9d94dc81ee16bb7d834c8f401b616c5b669f8e05d0e725\",0,\"lean_workbook_plus_23442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008415.lean\",\"ee796ce32c65a0e24442fbba3bb6466d5e059deac0ee2e87f345c9dfa42ab57c\",0,\"lean_workbook_plus_38607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328167,
+      "path": "data/train/p08/oproofs-s00002-r00008412-n000004-0000-c89ea520576415ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c89ea520576415ae9ff03b22cd3e19713faa23331adeec54d79ca6eedd69e279"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008416-n000004.json b/manifests/batches/oproofs/s00002-r00008416-n000004.json
index 42794bd04544079823243ae63e5a8560c56b0a40..bec3f4019c89d41ab72857132aacb2b36ef4d7fe 100644
--- a/manifests/batches/oproofs/s00002-r00008416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008416-n000004",
   "batch_fingerprint": "122b2ea7fa494d20dcd74538ab3a98451ac1a27fdb7fb2aa10b179c876b413db",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008416-n000004-0000-a29d6d00c9e835f9.parquet",
-      "sha256": "a29d6d00c9e835f9eb002cda57ac89d1bbe54df8fb3f6e6b3db761d4b11658ad",
-      "bytes": 273879,
-      "rows": 20,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008416-n000004-0000-b9b4735d1650f006.parquet",
-      "sha256": "b9b4735d1650f00648b563d3fbde4f7869324403fa2fd90db76d4bf6cc184095",
-      "bytes": 361769,
-      "rows": 4,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008417.lean\",\"b73823aadc06f6be652742a9483457bd25c6d9eea38d1ed97f8570ce575c0115\",0,\"lean_workbook_plus_74873\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008418.lean\",\"7fc6f7e13978c0a0c07c1b70660092afafb0d97468d46def8edeac75132a869a\",0,\"red_ball_certain_event\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008419.lean\",\"812f7bd1b398147948aa8b1b7b30a91a252975b2a29ff05bde3afa04eff3f62d\",0,\"lean_workbook_plus_16992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273879,
+      "path": "data/train/p52/oproofs-s00002-r00008416-n000004-0000-a29d6d00c9e835f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a29d6d00c9e835f9eb002cda57ac89d1bbe54df8fb3f6e6b3db761d4b11658ad"
+    },
+    {
+      "bytes": 361769,
+      "path": "data/internal_test/p52/oproofs-s00002-r00008416-n000004-0000-b9b4735d1650f006.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b9b4735d1650f00648b563d3fbde4f7869324403fa2fd90db76d4bf6cc184095"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008420-n000004.json b/manifests/batches/oproofs/s00002-r00008420-n000004.json
index 6adff2b729448efa0b9fc08cc5de8a1ea6eb9cad..001211f1d494200a8837bf8eaf01c87aa7900855 100644
--- a/manifests/batches/oproofs/s00002-r00008420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008420-n000004",
   "batch_fingerprint": "89dca33526bbc6323bbf5a8710eeaccd21647d9aaa38da04a6a83d3efa9d7a9b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008420-n000004-0000-b6c899ebf6adb454.parquet",
-      "sha256": "b6c899ebf6adb4549de3966798c2cd0e1ebd78964a17c0ebf03e33027816a695",
-      "bytes": 245460,
-      "rows": 16,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008421.lean\",\"856e9e67552e3b16b48fa4b73faf054229d4ecd03a2a8e36bf2c6973d5674c88\",0,\"lean_workbook_plus_82420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008422.lean\",\"f5b3d12c36768337b42d8ad49799d7ab8c28d3156d53622e213f2ad1f0670c27\",0,\"lean_workbook_plus_30251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008423.lean\",\"1eb740e89912a937745c014aabf5308cbd12f01461ced499f490fe4f5127a78e\",0,\"lean_workbook_plus_29642\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245460,
+      "path": "data/train/p68/oproofs-s00002-r00008420-n000004-0000-b6c899ebf6adb454.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b6c899ebf6adb4549de3966798c2cd0e1ebd78964a17c0ebf03e33027816a695"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008424-n000004.json b/manifests/batches/oproofs/s00002-r00008424-n000004.json
index a8f4477d37a459701f240baeb841da66e8ba021b..bd4393faec37b9fae1853935987935e814b08524 100644
--- a/manifests/batches/oproofs/s00002-r00008424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008424-n000004",
   "batch_fingerprint": "f34bd84c49609de678cd8a59190f3546c3b3c692d04cfad3e815f059f606c3e9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008424-n000004-0000-0f14b1665891514b.parquet",
-      "sha256": "0f14b1665891514bc3aa4ade382c91c707193d24dfb9a39596c09ced116d30d3",
-      "bytes": 443259,
-      "rows": 12,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008424-n000004-0000-aa56cd307296f9ed.parquet",
-      "sha256": "aa56cd307296f9ed043ea9bdf0bb9fa938264f3d5bba824a6186b0a53af8797a",
-      "bytes": 63823,
-      "rows": 6,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008425.lean\",\"106a346d07767f4d405618dd1017d054a40e0ecb747e9549e8e06db03dc62e11\",0,\"lean_workbook_plus_7201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008426.lean\",\"e425859f146404f9b225eff654f3723ebd33067b985caa6ed6a3a752ba2f5735\",0,\"lean_workbook_18162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008427.lean\",\"ac5223ae07b50c63e4b3936e5be07118da8785c950f2af77b90941cebc89f388\",0,\"lean_workbook_plus_76088\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 443259,
+      "path": "data/train/pa5/oproofs-s00002-r00008424-n000004-0000-0f14b1665891514b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0f14b1665891514bc3aa4ade382c91c707193d24dfb9a39596c09ced116d30d3"
+    },
+    {
+      "bytes": 63823,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00008424-n000004-0000-aa56cd307296f9ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "aa56cd307296f9ed043ea9bdf0bb9fa938264f3d5bba824a6186b0a53af8797a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008428-n000004.json b/manifests/batches/oproofs/s00002-r00008428-n000004.json
index e930d52c5c9b8ee644ae7ef54c68495ab46d5e2e..52d1e2837a8d76f82869e0bf3ddf586915ec94a0 100644
--- a/manifests/batches/oproofs/s00002-r00008428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008428-n000004",
   "batch_fingerprint": "017ca087dea1169e8c71888f46fe5b74bfbb32902050abd866cf164051e42090",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008428-n000004-0000-0c71136c34a845bc.parquet",
-      "sha256": "0c71136c34a845bc86056d1a3ce3cdd57b127a48b4d56923f8b14ef60ad364db",
-      "bytes": 794596,
-      "rows": 19,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008429.lean\",\"409bbf2056f51fffe5be54a9d72235e22d4ed5d8b67d65195873bec9a16973b2\",0,\"lean_workbook_plus_40077\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008430.lean\",\"e6c8fcee79e0127850870e34d3166b2e0b99b9ef7a6710bf3875a1b64de2a1e3\",0,\"lean_workbook_plus_40438\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008431.lean\",\"924369f89489e5eae5c4c233aca4a1e7f3ca9fddb3d481a7c48a13e13485c36f\",0,\"lean_workbook_plus_40456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 794596,
+      "path": "data/train/pe4/oproofs-s00002-r00008428-n000004-0000-0c71136c34a845bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0c71136c34a845bc86056d1a3ce3cdd57b127a48b4d56923f8b14ef60ad364db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008432-n000004.json b/manifests/batches/oproofs/s00002-r00008432-n000004.json
index 394fd15488048964bebf4a589c97a093c8769120..35e202c454e190ab2e9380d49577ffff37ce695e 100644
--- a/manifests/batches/oproofs/s00002-r00008432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008432-n000004",
   "batch_fingerprint": "51da292be82a4b04bd361cce4b809c561017679b7bb43b0580bba0d695f838ba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008432-n000004-0000-e465a14db9ecb8e7.parquet",
-      "sha256": "e465a14db9ecb8e732180ba6d4dba2e0b15e9d409d3eda6e8b00c5bd52f79aea",
-      "bytes": 770978,
-      "rows": 17,
-      "revision": "0a981e23c8cdd51cbfc73039631c32c54302630c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008433.lean\",\"1a0bda3669d5cb2f5d66b3615f47cf1e3401195e487202c25d77966a4cc35de8\",0,\"lean_workbook_1107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008434.lean\",\"024867ba4eb9691f02fd2c593f072a2b4c84cc0a53b34b2c61aa237d034a1070\",0,\"lean_workbook_plus_73449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008435.lean\",\"aadf0c99a3133ceabe8074ec90189ef178d13a8f849949d747a202bb5df4265c\",0,\"lean_workbook_plus_46607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 770978,
+      "path": "data/train/pf5/oproofs-s00002-r00008432-n000004-0000-e465a14db9ecb8e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e465a14db9ecb8e732180ba6d4dba2e0b15e9d409d3eda6e8b00c5bd52f79aea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008436-n000004.json b/manifests/batches/oproofs/s00002-r00008436-n000004.json
index ac88043e8cfac55f3c694c510817b03bb85ed3f3..bcef6584ca094777306666f0c94f5dd5b2cf4e90 100644
--- a/manifests/batches/oproofs/s00002-r00008436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008436-n000004",
   "batch_fingerprint": "c42a13482531ffde08f75829dbc7be0e0c2ab5e0312338f0d818740a22b786fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008436-n000004-0000-5f685add1c599090.parquet",
-      "sha256": "5f685add1c599090c665ef11a6abbb985d7982031d4150646d7a13bbc68fb369",
-      "bytes": 220620,
-      "rows": 16,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008436-n000004-0000-d1ea8334e8c0c7e4.parquet",
-      "sha256": "d1ea8334e8c0c7e4e4bf8a4861918614aa262b381b6c31ca2b6bb2d1533f05ac",
-      "bytes": 41714,
-      "rows": 3,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008437.lean\",\"d134772f881461b75f954a8a0986b1e9d7481efe20cf16b007bb3f5809fcc800\",0,\"sum_floor_sqrt_25\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008438.lean\",\"9b281dc0d0b84642b4b4fbf0a5c306fb105873f0d6a5206f70d55f39f82a8c5a\",0,\"lean_workbook_plus_22798\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008439.lean\",\"f83bbb0a2d7e0c7b9b90b7ba97c56e07c48a6da99be34bc0c0b018d426edb2c6\",0,\"lean_workbook_25293\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220620,
+      "path": "data/train/pa5/oproofs-s00002-r00008436-n000004-0000-5f685add1c599090.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5f685add1c599090c665ef11a6abbb985d7982031d4150646d7a13bbc68fb369"
+    },
+    {
+      "bytes": 41714,
+      "path": "data/internal_test/pa5/oproofs-s00002-r00008436-n000004-0000-d1ea8334e8c0c7e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d1ea8334e8c0c7e4e4bf8a4861918614aa262b381b6c31ca2b6bb2d1533f05ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008440-n000004.json b/manifests/batches/oproofs/s00002-r00008440-n000004.json
index a96e331b66ed5204794919e14a0cb268b40cf49b..a842133c59f1d800aa38ada65cce704eb79f3bfd 100644
--- a/manifests/batches/oproofs/s00002-r00008440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008440-n000004",
   "batch_fingerprint": "edcd7dca5a68d7fa8803e7bfc91c45727eb51bd5ed18b5aa6a388fbd8884460f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8440",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8441",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8442",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8443"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008440.lean\",\"3a21b3009764286eb42e7d7f11f20e8a94736b5f15633037415454aab8239a5b\",0,\"lean_workbook_plus_47995\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008441.lean\",\"2050bbcb88d52a83278d1adf27c067ec965f857c0c65a872652c817dfaad128d\",0,\"lean_workbook_plus_64204\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008442.lean\",\"0a1982a97c7e329c7feaacf19db5ad8cc73b0f1722e2e45cf85585120d20fcb1\",0,\"lean_workbook_plus_39535\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008443.lean\",\"10687c2a654dc48ad201f56830c1754fe9e5f83343568280f88f1483d7415b08\",0,\"lean_workbook_plus_27569\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008440-n000004-0000-47bbaa4e9a369f59.parquet",
-      "sha256": "47bbaa4e9a369f5988feb3e0fb36ce909307f46f9e124fef92a78cd49df45a8f",
       "bytes": 73834,
+      "path": "data/train/p8a/oproofs-s00002-r00008440-n000004-0000-47bbaa4e9a369f59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "47bbaa4e9a369f5988feb3e0fb36ce909307f46f9e124fef92a78cd49df45a8f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008440-n000004-0000-898ad4e5058f053c.parquet",
-      "sha256": "898ad4e5058f053cbe7158d848f774659da829d9b4039241c44aa362181b9d34",
       "bytes": 102611,
+      "path": "data/dev/p8a/oproofs-s00002-r00008440-n000004-0000-898ad4e5058f053c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "898ad4e5058f053cbe7158d848f774659da829d9b4039241c44aa362181b9d34"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008440-n000004-0000-e07add596e018eff.parquet",
-      "sha256": "e07add596e018eff79c8ce7f6f8d64d9a7bcb278ee44da599bfea5de4cbd6cf0",
       "bytes": 101852,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00008440-n000004-0000-e07add596e018eff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "e07add596e018eff79c8ce7f6f8d64d9a7bcb278ee44da599bfea5de4cbd6cf0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8440",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8441",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8442",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8443"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008440.lean\",\"3a21b3009764286eb42e7d7f11f20e8a94736b5f15633037415454aab8239a5b\",0,\"lean_workbook_plus_47995\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008441.lean\",\"2050bbcb88d52a83278d1adf27c067ec965f857c0c65a872652c817dfaad128d\",0,\"lean_workbook_plus_64204\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008442.lean\",\"0a1982a97c7e329c7feaacf19db5ad8cc73b0f1722e2e45cf85585120d20fcb1\",0,\"lean_workbook_plus_39535\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008443.lean\",\"10687c2a654dc48ad201f56830c1754fe9e5f83343568280f88f1483d7415b08\",0,\"lean_workbook_plus_27569\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008444-n000004.json b/manifests/batches/oproofs/s00002-r00008444-n000004.json
index bc3022260e23aa0416fead2117503f2f73bde0ab..c387682a0557fb98c80e4bd7dce0961a2392b65c 100644
--- a/manifests/batches/oproofs/s00002-r00008444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008444-n000004",
   "batch_fingerprint": "a75a4ab4d1cbdbeed6306473674f009437340060cf1cbca00d3739dc3c7f19c5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8444",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8445",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8446",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8447"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008444.lean\",\"41f27a5d5aa635f69b67c674bcb726493d2bdda1f34c0b188d842f124f85d757\",0,\"lean_workbook_plus_16741\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008445.lean\",\"2aa1df510db46e6bab19e4cc9d32e994836d5d46cb5d1a1eb810f50bf6eaa3fe\",0,\"lean_workbook_plus_50048\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008446.lean\",\"67279f1747d8eeaf8e645552099ae352c6a6d161787e75e476c4273de884d5f1\",0,\"lean_workbook_plus_61437\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008447.lean\",\"9d84d58258cd2a9bf12d50163b6f3cd5b7d40b259be640e15d94fc32b7a14c7f\",0,\"lean_workbook_plus_12439\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008444-n000004-0000-3a3584cf12f3f6af.parquet",
-      "sha256": "3a3584cf12f3f6af43c7aeb259f1190b87b5247e833968938c153232571f1e8c",
       "bytes": 108977,
+      "path": "data/train/p39/oproofs-s00002-r00008444-n000004-0000-3a3584cf12f3f6af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "3a3584cf12f3f6af43c7aeb259f1190b87b5247e833968938c153232571f1e8c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008444-n000004-0000-d9a24285abbc913e.parquet",
-      "sha256": "d9a24285abbc913e2d000149f1398ded597ee757bbef226a9b23b443126fcf99",
       "bytes": 41784,
+      "path": "data/dev/p39/oproofs-s00002-r00008444-n000004-0000-d9a24285abbc913e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "d9a24285abbc913e2d000149f1398ded597ee757bbef226a9b23b443126fcf99"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008444-n000004-0000-1d15d99aa48462cc.parquet",
-      "sha256": "1d15d99aa48462cc33559c94d58745e441f73dcfb14cf2f5823ab58cd5273360",
       "bytes": 76975,
+      "path": "data/internal_test/p39/oproofs-s00002-r00008444-n000004-0000-1d15d99aa48462cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1e62c7ac2a85f207579666a0a7d720b34254d63f"
+      "sha256": "1d15d99aa48462cc33559c94d58745e441f73dcfb14cf2f5823ab58cd5273360"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8444",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8445",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8446",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8447"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008444.lean\",\"41f27a5d5aa635f69b67c674bcb726493d2bdda1f34c0b188d842f124f85d757\",0,\"lean_workbook_plus_16741\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008445.lean\",\"2aa1df510db46e6bab19e4cc9d32e994836d5d46cb5d1a1eb810f50bf6eaa3fe\",0,\"lean_workbook_plus_50048\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008446.lean\",\"67279f1747d8eeaf8e645552099ae352c6a6d161787e75e476c4273de884d5f1\",0,\"lean_workbook_plus_61437\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008447.lean\",\"9d84d58258cd2a9bf12d50163b6f3cd5b7d40b259be640e15d94fc32b7a14c7f\",0,\"lean_workbook_plus_12439\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008448-n000004.json b/manifests/batches/oproofs/s00002-r00008448-n000004.json
index 5fdcc1b6a686087e56a10ab7266f21b5c9881ccd..6bd7a7548a91378ec348b92e7d34028a4b122d14 100644
--- a/manifests/batches/oproofs/s00002-r00008448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008448-n000004",
   "batch_fingerprint": "3ac1522f6e7a8181f52291b13c6b96c1fe73c0501195dbd197e7e8cac157cf45",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008448-n000004-0000-84a88ece2c41c6fc.parquet",
-      "sha256": "84a88ece2c41c6fc9eb8556c6b1e9d97df30435d1994122f0aaaa161a0fbf3c2",
-      "bytes": 237365,
-      "rows": 22,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008449.lean\",\"bb6e60e19e77ac5848378d2abaf1eac295b552287fc289954f3a4d0bf12771a3\",0,\"lean_workbook_plus_3133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008450.lean\",\"8452f8b039f6c10a5bbeef5845e8dda6f1507009ef8a2aeb4d987231aef058e0\",0,\"lean_workbook_plus_78341\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008451.lean\",\"a1bdeea32cb5af2a0bab0f4f87dac267ed8184c0291c3f3ca214f9e7dcfb5bb0\",0,\"lean_workbook_plus_81436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237365,
+      "path": "data/train/p0d/oproofs-s00002-r00008448-n000004-0000-84a88ece2c41c6fc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "84a88ece2c41c6fc9eb8556c6b1e9d97df30435d1994122f0aaaa161a0fbf3c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008452-n000004.json b/manifests/batches/oproofs/s00002-r00008452-n000004.json
index 01ebee2414c1dcd5fb29d1ff3dbf99d8279e4204..0a8edc755f9125b26b1e67e99ad100ec6da428f9 100644
--- a/manifests/batches/oproofs/s00002-r00008452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008452-n000004",
   "batch_fingerprint": "56aa68eec841f2425997f49a1767ab7982ea04e42f83eb25b32014104cf23012",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008452-n000004-0000-6459af3ba471d9ab.parquet",
-      "sha256": "6459af3ba471d9ab9679a40c2a5dc566db4e9090924db16098b90d389a4d0904",
-      "bytes": 237457,
-      "rows": 20,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008452-n000004-0000-523613fc928214af.parquet",
-      "sha256": "523613fc928214af9e09b9bff41c794d3e8c459d47168dc666f825cbb4ccac6d",
-      "bytes": 83003,
-      "rows": 6,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008453.lean\",\"9eaa7b19e996debd28543af9cf9b6b91dec67f507de3b5ae7086539eb20e8ed6\",0,\"lean_workbook_plus_38303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008454.lean\",\"cbcb8b3287872d3b4afaefb3d1952fd99891eeb57cc33e3eb818003b50902442\",0,\"lean_workbook_plus_7869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008455.lean\",\"0c1dbae67b49498c6c5ac64cdb9e21fb638b9e28d308319bfaa66df6e67535ce\",0,\"lean_workbook_plus_31795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237457,
+      "path": "data/train/pb6/oproofs-s00002-r00008452-n000004-0000-6459af3ba471d9ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6459af3ba471d9ab9679a40c2a5dc566db4e9090924db16098b90d389a4d0904"
+    },
+    {
+      "bytes": 83003,
+      "path": "data/dev/pb6/oproofs-s00002-r00008452-n000004-0000-523613fc928214af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "523613fc928214af9e09b9bff41c794d3e8c459d47168dc666f825cbb4ccac6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008456-n000004.json b/manifests/batches/oproofs/s00002-r00008456-n000004.json
index be31ad733889d8a07bdb7c0d93bcd0a7110b3cf5..19ac2c76e3c8490b06832cfcf7024264bf28f22f 100644
--- a/manifests/batches/oproofs/s00002-r00008456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008456-n000004",
   "batch_fingerprint": "b0af00a16792f43cfe13538799597cf5f76b4532a2a7530c0c41de7a105bcf1e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008456-n000004-0000-1c176af1f5de5a41.parquet",
-      "sha256": "1c176af1f5de5a4115878edda010c9fb73ccdb03eda7aa07246c1844eefccf0a",
-      "bytes": 249488,
-      "rows": 17,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008456-n000004-0000-0724d2d15bfdabdc.parquet",
-      "sha256": "0724d2d15bfdabdca40b69292205bf3b41654252e1ee0fecc7413e76fb838ea6",
-      "bytes": 213808,
-      "rows": 12,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8457",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008457.lean\",\"414b36cbc5c06bbda87445342d275cb2e5a149b38480a755ff3b3d6adc70d71e\",0,\"lean_workbook_16458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008458.lean\",\"a37555fa503aa9a1481951f77a1b3e48b0a84f4694918a7ca5b9cd18564d7b6f\",0,\"lean_workbook_plus_61868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008459.lean\",\"4980aa1bae62a0620f56b26aafc1d30e8a4695b4510c7a843afe9833a340d6a6\",0,\"lean_workbook_plus_58200\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249488,
+      "path": "data/train/p55/oproofs-s00002-r00008456-n000004-0000-1c176af1f5de5a41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1c176af1f5de5a4115878edda010c9fb73ccdb03eda7aa07246c1844eefccf0a"
+    },
+    {
+      "bytes": 213808,
+      "path": "data/dev/p55/oproofs-s00002-r00008456-n000004-0000-0724d2d15bfdabdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0724d2d15bfdabdca40b69292205bf3b41654252e1ee0fecc7413e76fb838ea6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008460-n000004.json b/manifests/batches/oproofs/s00002-r00008460-n000004.json
index 02cbd25d9080774ee330bffa7398cdc4fff9997d..224c27ef5c7ac6d0dafb1b91d0457c2917177187 100644
--- a/manifests/batches/oproofs/s00002-r00008460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008460-n000004",
   "batch_fingerprint": "6e665e5c04ea465f5b5b08fe27fcb08a3d5f768e5dffaa52efbaebd721d70c56",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008460-n000004-0000-4efd3699a3a42d59.parquet",
-      "sha256": "4efd3699a3a42d59ef69e053774bc81b73022b8511b01bb8381ff109d00e1117",
-      "bytes": 330394,
-      "rows": 17,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008461.lean\",\"dcef62cb90260df6861c820ae4e1e8a9a157a253199eecbc482a9d4ffa0c879c\",0,\"lean_workbook_23832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008462.lean\",\"47494ec86b0f49224340099c6b16448bec1195a5e82fd2cd515bd4fc927fcf65\",0,\"lean_workbook_plus_11474\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008463.lean\",\"0afd968258469132406ff6837e8ac390422c75b5e8d18479907e9af612651131\",0,\"lean_workbook_42221\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330394,
+      "path": "data/train/pfe/oproofs-s00002-r00008460-n000004-0000-4efd3699a3a42d59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4efd3699a3a42d59ef69e053774bc81b73022b8511b01bb8381ff109d00e1117"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008464-n000004.json b/manifests/batches/oproofs/s00002-r00008464-n000004.json
index c58ea2df7312b6b24fd6af9945c0924349433235..85a6a45b21497c8ecb8140bc8760ba43c4187e63 100644
--- a/manifests/batches/oproofs/s00002-r00008464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008464-n000004",
   "batch_fingerprint": "5f0c2ec7b44d2160e96268294cd5b523f37416c4c66f93240f7b73a33143ea95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008464-n000004-0000-53fec38e5442412c.parquet",
-      "sha256": "53fec38e5442412cc7d49cd401983802fa19610bc27256df930d4a776c6147a4",
-      "bytes": 175030,
-      "rows": 13,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008465.lean\",\"135ce522596ad71f2d719102c075690f64c34603204794860563f23e4b3dd33f\",0,\"lean_workbook_plus_67013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008466.lean\",\"4d3e30081a57d95ef8ef458550877a5c0eafab2490b1bed6808e44ec86cd5238\",0,\"lean_workbook_35613\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008467.lean\",\"81843f9249dc987e0f076e719804981b95378dc84af0a83b6882f64218bfc000\",0,\"lean_workbook_plus_47361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175030,
+      "path": "data/train/p51/oproofs-s00002-r00008464-n000004-0000-53fec38e5442412c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "53fec38e5442412cc7d49cd401983802fa19610bc27256df930d4a776c6147a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008468-n000004.json b/manifests/batches/oproofs/s00002-r00008468-n000004.json
index 84a1e334a50c4d3f7428d21c56d5aae27bbc2f6b..da326077b7cf6887ce59d5cbbbfa24198eeea8d8 100644
--- a/manifests/batches/oproofs/s00002-r00008468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008468-n000004",
   "batch_fingerprint": "37d2324a6871d513e7b2a8bca725bc9510ae22de634a34b341ac9eadcf55327b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008468-n000004-0000-5ecdefdbf229dde2.parquet",
-      "sha256": "5ecdefdbf229dde2d7d9bc500981fdc09a10f7e7ee1a37a7c509b49d8c7bf958",
-      "bytes": 257599,
-      "rows": 10,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008468-n000004-0000-49f46d495b24e2d5.parquet",
-      "sha256": "49f46d495b24e2d571a0495fa69a67bd32b6a9d2620bb2e7d40e3179706479c5",
-      "bytes": 105830,
-      "rows": 4,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008469.lean\",\"e276bf1dbcfb3014491397f67fcf1f661ef32096a71b512235ec0c1cfb802da4\",0,\"lean_workbook_plus_49561\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008470.lean\",\"61fc1bb8a0e10f4b5d8e6dc2984351749f587552c0c066cdaf6467dedd393467\",0,\"lean_workbook_plus_82398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008471.lean\",\"18eb4a621fd234aefcea8ce2469e44f3ffa5d8e178304f872a5cda68cc30c6bf\",0,\"lean_workbook_plus_72484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257599,
+      "path": "data/train/p0d/oproofs-s00002-r00008468-n000004-0000-5ecdefdbf229dde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "5ecdefdbf229dde2d7d9bc500981fdc09a10f7e7ee1a37a7c509b49d8c7bf958"
+    },
+    {
+      "bytes": 105830,
+      "path": "data/dev/p0d/oproofs-s00002-r00008468-n000004-0000-49f46d495b24e2d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "49f46d495b24e2d571a0495fa69a67bd32b6a9d2620bb2e7d40e3179706479c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008472-n000004.json b/manifests/batches/oproofs/s00002-r00008472-n000004.json
index 73b3d856d528bdc41d244543cd73eb31cef67da8..80000c850036078a3a43deac362a11642c476dee 100644
--- a/manifests/batches/oproofs/s00002-r00008472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008472-n000004",
   "batch_fingerprint": "3e29d76e4b31cd021479a0f8b277954d760ac0d0aff537a50b91813fa8e1f5ab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008472-n000004-0000-904dc577db55f549.parquet",
-      "sha256": "904dc577db55f549f0abda9a14c947eaf39e6611cf7a3eb7e9dc3b7b3cf43e6d",
-      "bytes": 202719,
-      "rows": 15,
-      "revision": "97fafd350b0d54d6367abda2bc6395059f772066"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008472-n000004-0000-27bdf7b5cf0b0527.parquet",
-      "sha256": "27bdf7b5cf0b0527a399326434be9a47d45571d35e75be16132e654b2a10ef96",
-      "bytes": 403596,
-      "rows": 3,
-      "revision": "97fafd350b0d54d6367abda2bc6395059f772066"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008473.lean\",\"473781e0e07b303c043a88e4c2c950c2a6ebac7730423072e107158d3a4f3f49\",0,\"lean_workbook_plus_82489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008474.lean\",\"9bf0fea74504bbe8006924b1fda564a6754cfd922f8ea281badeef7fdec701c4\",0,\"lean_workbook_plus_68806\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008475.lean\",\"ea9345e7d3c594a426b697423ab507cb9b713af02ab2b1af56f8c8b04ecac557\",0,\"lean_workbook_plus_62635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202719,
+      "path": "data/train/p01/oproofs-s00002-r00008472-n000004-0000-904dc577db55f549.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "904dc577db55f549f0abda9a14c947eaf39e6611cf7a3eb7e9dc3b7b3cf43e6d"
+    },
+    {
+      "bytes": 403596,
+      "path": "data/dev/p01/oproofs-s00002-r00008472-n000004-0000-27bdf7b5cf0b0527.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "27bdf7b5cf0b0527a399326434be9a47d45571d35e75be16132e654b2a10ef96"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008476-n000004.json b/manifests/batches/oproofs/s00002-r00008476-n000004.json
index ed9012e7fd438f72c82952ad853c781240e5a1d2..7ddb2ed9fb50b2c08ad9719935984769788a4374 100644
--- a/manifests/batches/oproofs/s00002-r00008476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008476-n000004",
   "batch_fingerprint": "d2747efc90f959f54e76b4b78661926d0ab4e743dddadd11312e1e6c39c3f951",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008476-n000004-0000-ab967ebb91087ee1.parquet",
-      "sha256": "ab967ebb91087ee1052710abe75e5446532ba1e9ba00d51aee86c66ac931bffa",
-      "bytes": 149343,
-      "rows": 19,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008477.lean\",\"3c5d51b6289330c4665e5d986370b75acb8ebb8b892690d315d5f479e7538b09\",0,\"trapezoid_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008478.lean\",\"2d06e06e656504941179bf304348342b6b59d5949865cc3ab8e4a22d742d8d5b\",0,\"lean_workbook_plus_38607\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008479.lean\",\"77921729b5f81a406643372d2234bc520eead7edfc0dea955910a4218d549aff\",0,\"lean_workbook_plus_23442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149343,
+      "path": "data/train/pe1/oproofs-s00002-r00008476-n000004-0000-ab967ebb91087ee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ab967ebb91087ee1052710abe75e5446532ba1e9ba00d51aee86c66ac931bffa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008480-n000004.json b/manifests/batches/oproofs/s00002-r00008480-n000004.json
index 8fd7b90e116be4d93aa9fb495a407d836abf65df..7efe0419f6aaf7e27ae69c5e0989376d0c4f5860 100644
--- a/manifests/batches/oproofs/s00002-r00008480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008480-n000004",
   "batch_fingerprint": "f46fd5e38aa3d3323ed0bfde4f4530502cb409dc080d4b9a1ab1f1d0aabe305a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008480-n000004-0000-73091819ad32ed75.parquet",
-      "sha256": "73091819ad32ed7586bc4897cbbfad6ee2e770b530260c382e2c715d7d41051c",
-      "bytes": 368646,
-      "rows": 17,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008481.lean\",\"6765732a4dc0e718325e826730d2fa488973384ebf59e7e16aa54f28e88b31fa\",0,\"lean_workbook_plus_16992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008482.lean\",\"795792baf1c95089dac40e1935c29572c72e9f6476c99d022a6a7ec7c9065889\",0,\"lean_workbook_plus_82420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008483.lean\",\"8de044805024d40eeb8d978a4fdbf785b5b42b9a929831475ae47b9d337b62f1\",0,\"lean_workbook_plus_51409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 368646,
+      "path": "data/train/p40/oproofs-s00002-r00008480-n000004-0000-73091819ad32ed75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "73091819ad32ed7586bc4897cbbfad6ee2e770b530260c382e2c715d7d41051c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008484-n000004.json b/manifests/batches/oproofs/s00002-r00008484-n000004.json
index c91bf7303937f68e21436ee26f44914fa5ca3156..0a34e80204808b3e17d55e0e9c2f835e5dacdbcc 100644
--- a/manifests/batches/oproofs/s00002-r00008484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008484-n000004",
   "batch_fingerprint": "dfb601a4495673e633f1e2bb195a62ba730dea34dd5cf002de5c7babd364c6cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008484-n000004-0000-568d771895c70301.parquet",
-      "sha256": "568d771895c7030121900a574cb6a57dc6818bf06f194fa8ddfa9201e5c0b744",
-      "bytes": 141889,
-      "rows": 8,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008484-n000004-0000-3ff919bf148cc0ed.parquet",
-      "sha256": "3ff919bf148cc0ed1f20217f9fbff809a40ced97fccc8e7e01e4d60556a3dc6c",
-      "bytes": 103299,
-      "rows": 11,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008485.lean\",\"78d75061ad97b96e318f0d22f989f5282d17105176d7435dbe747b6461781818\",0,\"lean_workbook_plus_29642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008486.lean\",\"cb4bce3411ea4cb5b56c4e8af01013ab3f138e0b514abd8b0381e83536267f86\",0,\"lean_workbook_18162\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008487.lean\",\"b9ddc22c565e971b4103754346fc12936c46a42b175d2a937239890bb08d86de\",0,\"lean_workbook_plus_7201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141889,
+      "path": "data/train/p36/oproofs-s00002-r00008484-n000004-0000-568d771895c70301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "568d771895c7030121900a574cb6a57dc6818bf06f194fa8ddfa9201e5c0b744"
+    },
+    {
+      "bytes": 103299,
+      "path": "data/internal_test/p36/oproofs-s00002-r00008484-n000004-0000-3ff919bf148cc0ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3ff919bf148cc0ed1f20217f9fbff809a40ced97fccc8e7e01e4d60556a3dc6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008488-n000004.json b/manifests/batches/oproofs/s00002-r00008488-n000004.json
index 4a73ebd6778b2f0ea7320f9a1353b6f83b278275..b30a6df74b369d054737b3467d3931f207e34999 100644
--- a/manifests/batches/oproofs/s00002-r00008488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008488-n000004",
   "batch_fingerprint": "3a4c51aa373b36e263169ed092e27023a7d80c29db1038619c84e3d6efb72cfa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008488-n000004-0000-d4f89fd28a377db8.parquet",
-      "sha256": "d4f89fd28a377db807071bdf4996f94f69b2df0b54a2330858cdb46f08397520",
-      "bytes": 374898,
-      "rows": 16,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008489.lean\",\"db2c5a37494e30a7a5814e1223d999e296c1092cc1e69597651471431e61e626\",0,\"lean_workbook_plus_12405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008490.lean\",\"ad85211024dce260cfa60928aa87bdf217b59951c57a5c648031c46c6fa205fa\",0,\"lean_workbook_plus_43466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008491.lean\",\"ace61b0b0fae88a18169ad05286769d6414429ac66bc328d973c073aa7b08200\",0,\"lean_workbook_plus_76088\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374898,
+      "path": "data/train/p7c/oproofs-s00002-r00008488-n000004-0000-d4f89fd28a377db8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "d4f89fd28a377db807071bdf4996f94f69b2df0b54a2330858cdb46f08397520"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008492-n000004.json b/manifests/batches/oproofs/s00002-r00008492-n000004.json
index 4bc5feb7e014d679991ef89a625d26fb3c0faa0f..f8e9e8f2827737c3e78369bf2bff25e7fb6cee0f 100644
--- a/manifests/batches/oproofs/s00002-r00008492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008492-n000004",
   "batch_fingerprint": "3593508b5926625d02e119144e791450dfec664a19553aed15dff35157548a69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008492-n000004-0000-68a99eff63a362c1.parquet",
-      "sha256": "68a99eff63a362c11954a0d70de5d2a0a15b1de8a3ec38c59f9a4e6241adccaf",
-      "bytes": 208981,
-      "rows": 29,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008493.lean\",\"07727926d234b34db7d5da8cb199c3a60ca2fd92396b1b6d42a6bb6c40731031\",0,\"lean_workbook_plus_40438\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008494.lean\",\"776a4d83e7d9fefef54cd4801d5d5525f139753c199285086aee7ea78c25da3a\",0,\"lean_workbook_plus_40456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008495.lean\",\"a2ff276c2c31b33374411a236a1282e7ff28d6719a92719358e9c401e99c7988\",0,\"lean_workbook_1107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208981,
+      "path": "data/train/pde/oproofs-s00002-r00008492-n000004-0000-68a99eff63a362c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "68a99eff63a362c11954a0d70de5d2a0a15b1de8a3ec38c59f9a4e6241adccaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008496-n000004.json b/manifests/batches/oproofs/s00002-r00008496-n000004.json
index 0314523d0528bd6688110684e46d43d51b23b8dd..b6469d7580bda9e2c2d7a1e5942a8d93b0b198b8 100644
--- a/manifests/batches/oproofs/s00002-r00008496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008496-n000004",
   "batch_fingerprint": "1462b6b0cbe3ca6bf9e5a56ac560e15afc78e505f4ea6795ae3285383346d6eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008496-n000004-0000-603419762f2a18f3.parquet",
-      "sha256": "603419762f2a18f377d23d10ac16c1de54be3c3ee11e3b55681e00fddec4d38d",
-      "bytes": 509635,
-      "rows": 40,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008497.lean\",\"fcb3a51d6ce8c04835f18dada4c6e0454c4b40b3bd42fe5bcb57dfe552d1f86c\",0,\"sum_floor_sqrt_25\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008498.lean\",\"74dba27d6bc12c47cb7528c215197499511889e5aaf540e3479686ad988c44bd\",0,\"lean_workbook_15216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008499.lean\",\"ddf1a1860a8c247b2f04bb196fcb0f1ef5e0b6a835afe3515ef94e01b1a8aed9\",0,\"lean_workbook_plus_22798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509635,
+      "path": "data/train/p87/oproofs-s00002-r00008496-n000004-0000-603419762f2a18f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 40,
+      "sha256": "603419762f2a18f377d23d10ac16c1de54be3c3ee11e3b55681e00fddec4d38d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008500-n000004.json b/manifests/batches/oproofs/s00002-r00008500-n000004.json
index 973e829b253a07796ad3eae6e6444f2363d81cb9..5b2d34a8e2126e8be003a6338e45baff537237db 100644
--- a/manifests/batches/oproofs/s00002-r00008500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008500-n000004",
   "batch_fingerprint": "e9262e8f88049d902bf05bc82d658fa8aa360dc3c190f64aae25f2b4a1b3c67d",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008500-n000004-0000-aa9de6eb1c055d72.parquet",
-      "sha256": "aa9de6eb1c055d7224d6637a8f991f7c719feed8c859c222c60e9d0251ee8ebd",
-      "bytes": 221603,
-      "rows": 15,
-      "revision": "97fafd350b0d54d6367abda2bc6395059f772066"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8502",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008500.lean\",\"b8947d9dafd8d8d91de400bc9307a7d698d5cfd64c36dd09f1a6477801c3af45\",0,\"lean_workbook_plus_60111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008502.lean\",\"98c9ba0dbfbe5778dc7b518989a47878b23144818573bd72e4040568fed6da6f\",0,\"lean_workbook_plus_47995\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008503.lean\",\"a6fd8b67f9663da7c114b99235c9490129e67d0359548a603297d6d6fc4bc7b2\",0,\"lean_workbook_plus_64204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221603,
+      "path": "data/train/pf0/oproofs-s00002-r00008500-n000004-0000-aa9de6eb1c055d72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "aa9de6eb1c055d7224d6637a8f991f7c719feed8c859c222c60e9d0251ee8ebd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008504-n000004.json b/manifests/batches/oproofs/s00002-r00008504-n000004.json
index 32fbfd80da10100a39f39d13ad92f30d43f11a50..eaf63e709fa160ce172c186a48110eb556f30f5a 100644
--- a/manifests/batches/oproofs/s00002-r00008504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008504-n000004",
   "batch_fingerprint": "03eedfccfc1cbe81e7de498e106532e2602dd08a1df49d61729ab53102e14931",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8504",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8505",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8506",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8507"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008504.lean\",\"9ae8d1945efbb03748897b9e17895052a10242b3011dc65fbac589376948e1b7\",0,\"lean_workbook_plus_16741\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008505.lean\",\"3635b343d782b367091058245190810dbd36fefdc15ca6d266830ca75207de3e\",0,\"lean_workbook_plus_50048\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008506.lean\",\"8173c9f61f55b20eb5ee3a96e3d487b66a742dd724568faf35b397dcae516e0d\",0,\"lean_workbook_plus_39535\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008507.lean\",\"c47337b33f59e6137a4d53c62dd3bb10cf7d1ad140db88f82636fa6b08e7919c\",0,\"lean_workbook_plus_61437\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008504-n000004-0000-d7c375a77f6b0d54.parquet",
-      "sha256": "d7c375a77f6b0d54b472cfe00bd0ec841560990a45baf80b6b50dee447da511a",
       "bytes": 50292,
+      "path": "data/train/p79/oproofs-s00002-r00008504-n000004-0000-d7c375a77f6b0d54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "d7c375a77f6b0d54b472cfe00bd0ec841560990a45baf80b6b50dee447da511a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008504-n000004-0000-12e9cf2aeac7a212.parquet",
-      "sha256": "12e9cf2aeac7a2120cb2960327b8f4c24d82f2312618dbc92c4dd8543c19b11d",
       "bytes": 41790,
+      "path": "data/dev/p79/oproofs-s00002-r00008504-n000004-0000-12e9cf2aeac7a212.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "12e9cf2aeac7a2120cb2960327b8f4c24d82f2312618dbc92c4dd8543c19b11d"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008504-n000004-0000-c79e393fcaa7e16a.parquet",
-      "sha256": "c79e393fcaa7e16ab4f785dab9ebc5f4f74a0fd70ef18a5bb12e35813d057257",
       "bytes": 121049,
+      "path": "data/internal_test/p79/oproofs-s00002-r00008504-n000004-0000-c79e393fcaa7e16a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "c79e393fcaa7e16ab4f785dab9ebc5f4f74a0fd70ef18a5bb12e35813d057257"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8504",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8505",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8506",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8507"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008504.lean\",\"9ae8d1945efbb03748897b9e17895052a10242b3011dc65fbac589376948e1b7\",0,\"lean_workbook_plus_16741\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008505.lean\",\"3635b343d782b367091058245190810dbd36fefdc15ca6d266830ca75207de3e\",0,\"lean_workbook_plus_50048\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008506.lean\",\"8173c9f61f55b20eb5ee3a96e3d487b66a742dd724568faf35b397dcae516e0d\",0,\"lean_workbook_plus_39535\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008507.lean\",\"c47337b33f59e6137a4d53c62dd3bb10cf7d1ad140db88f82636fa6b08e7919c\",0,\"lean_workbook_plus_61437\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008508-n000004.json b/manifests/batches/oproofs/s00002-r00008508-n000004.json
index 107e19529cd4d8f3872c49f28884a114362be38e..9e063251bad789be939a22389eef53a9047f2d65 100644
--- a/manifests/batches/oproofs/s00002-r00008508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008508-n000004",
   "batch_fingerprint": "af8991d44ceba7ff9e5f6e1cbecdd85af4a62ac67d88cfb2a1348e7128a2cc61",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008508-n000004-0000-ecfb31e6180ea80a.parquet",
-      "sha256": "ecfb31e6180ea80acfbee1184290b0ffe61dc26b1b016bd18a871309f870a281",
-      "bytes": 167895,
-      "rows": 16,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008508-n000004-0000-49dbe3d9f1e23bf1.parquet",
-      "sha256": "49dbe3d9f1e23bf191353555db9a179bb035802976ce922b5665612e955774b4",
-      "bytes": 101903,
-      "rows": 6,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008509.lean\",\"b291c2e5daf3fa22853b08986093cd968291259e471a8eef39eae503864f08ff\",0,\"sum_of_numbers_greater_than_point_four\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008510.lean\",\"bb9fee74abe1cbcc8a7d45f78dc21a402bb95534f203da1a97624136c2a94376\",0,\"lean_workbook_plus_27569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008511.lean\",\"1f4ca9a0b14c7e1aa791b8ad47f9d47f392ffce078c5e9e8b72b40ff806e2a09\",0,\"lean_workbook_plus_78341\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167895,
+      "path": "data/train/pba/oproofs-s00002-r00008508-n000004-0000-ecfb31e6180ea80a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ecfb31e6180ea80acfbee1184290b0ffe61dc26b1b016bd18a871309f870a281"
+    },
+    {
+      "bytes": 101903,
+      "path": "data/dev/pba/oproofs-s00002-r00008508-n000004-0000-49dbe3d9f1e23bf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "49dbe3d9f1e23bf191353555db9a179bb035802976ce922b5665612e955774b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008512-n000004.json b/manifests/batches/oproofs/s00002-r00008512-n000004.json
index 7cdb7a3a2b81c81b5b5c951551f3b11406be1c07..4bc5f0b7f2567c7647b3720654be5852cde51e4c 100644
--- a/manifests/batches/oproofs/s00002-r00008512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008512-n000004",
   "batch_fingerprint": "fa27ab502dc7dbb131b3a03231d6a682a9c45971f4c5a4dddb02f631d2ea7509",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008512-n000004-0000-f2dda79b55fe8e72.parquet",
-      "sha256": "f2dda79b55fe8e7218f7c67334bc49371005f02a36a85f547686dc4a8e896aec",
-      "bytes": 247439,
-      "rows": 10,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008512-n000004-0000-49b44075255a361d.parquet",
-      "sha256": "49b44075255a361ddfbee0b564d8f04d6809f183a0621cf479b1e56949e1d7c1",
-      "bytes": 117150,
-      "rows": 8,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008513.lean\",\"5d08a9c8d75ef04bc008bffc860a4d9fd3ee61a3282247dc3e53a0858504cbd4\",0,\"lean_workbook_plus_15995\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008514.lean\",\"e37f02e8bd44d215216d5b13c2da0f71f64fac773331fa3ccd34d5f80944759d\",0,\"lean_workbook_plus_62455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008515.lean\",\"b1f6ffb6c38052edafca7c732496abe8cb9f901a6658178b2978d97ca30e8441\",0,\"lean_workbook_plus_38303\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247439,
+      "path": "data/train/p52/oproofs-s00002-r00008512-n000004-0000-f2dda79b55fe8e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f2dda79b55fe8e7218f7c67334bc49371005f02a36a85f547686dc4a8e896aec"
+    },
+    {
+      "bytes": 117150,
+      "path": "data/dev/p52/oproofs-s00002-r00008512-n000004-0000-49b44075255a361d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "49b44075255a361ddfbee0b564d8f04d6809f183a0621cf479b1e56949e1d7c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008516-n000004.json b/manifests/batches/oproofs/s00002-r00008516-n000004.json
index 7af7a4cdfafa208de7c0bf7882e20d256b9cefac..ac5cb65948493f5e51a16966eb214b2315c2bc7f 100644
--- a/manifests/batches/oproofs/s00002-r00008516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008516-n000004",
   "batch_fingerprint": "408193e3e51a7e2361a1fa6e41c115d01333fb0b25ad99b19950badf219b2693",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8516",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8517",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8518",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8519"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008516.lean\",\"748fdd01eb88090f00a77fe7bfe0a8d3515fae1d407106e227cb3a263c16a3d2\",0,\"lean_workbook_plus_80328\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008517.lean\",\"7b19c407479239be9a10534617bd31ed32858149b0849517ee696bbd48b8b44a\",0,\"lean_workbook_31358\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008518.lean\",\"f43128fc31dd6a988bdfb7cf6ee80895f973e7c11edc30d59764c73ee80b14c8\",0,\"lean_workbook_plus_67351\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008519.lean\",\"b54509e63bbafdfbfb18495bd57b679cc22b5821e2673828ea3d95b4979f84ed\",0,\"lean_workbook_plus_31795\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008516-n000004-0000-52cba0cf7799c4f0.parquet",
-      "sha256": "52cba0cf7799c4f08db1613f5d530319031b0c2ce74027849f712bb46428daaf",
       "bytes": 133681,
+      "path": "data/train/pf1/oproofs-s00002-r00008516-n000004-0000-52cba0cf7799c4f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "52cba0cf7799c4f08db1613f5d530319031b0c2ce74027849f712bb46428daaf"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008516-n000004-0000-d69e36103e978227.parquet",
-      "sha256": "d69e36103e97822746623cf5443153a87c67377c354f6ae91654c93b4a68a420",
       "bytes": 60261,
+      "path": "data/dev/pf1/oproofs-s00002-r00008516-n000004-0000-d69e36103e978227.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "d69e36103e97822746623cf5443153a87c67377c354f6ae91654c93b4a68a420"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008516-n000004-0000-76fe75aeed066679.parquet",
-      "sha256": "76fe75aeed06667981f125593308550f8412000847ff2e88e9553d50beda9876",
       "bytes": 54055,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00008516-n000004-0000-76fe75aeed066679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
+      "sha256": "76fe75aeed06667981f125593308550f8412000847ff2e88e9553d50beda9876"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8516",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8517",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8518",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8519"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008516.lean\",\"748fdd01eb88090f00a77fe7bfe0a8d3515fae1d407106e227cb3a263c16a3d2\",0,\"lean_workbook_plus_80328\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008517.lean\",\"7b19c407479239be9a10534617bd31ed32858149b0849517ee696bbd48b8b44a\",0,\"lean_workbook_31358\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008518.lean\",\"f43128fc31dd6a988bdfb7cf6ee80895f973e7c11edc30d59764c73ee80b14c8\",0,\"lean_workbook_plus_67351\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008519.lean\",\"b54509e63bbafdfbfb18495bd57b679cc22b5821e2673828ea3d95b4979f84ed\",0,\"lean_workbook_plus_31795\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008520-n000004.json b/manifests/batches/oproofs/s00002-r00008520-n000004.json
index c401e41825bb3ed03a32589ee12c231cbe5e46de..2ebd5c41ee8cbc6da679231d63b6e77579ed95ee 100644
--- a/manifests/batches/oproofs/s00002-r00008520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008520-n000004",
   "batch_fingerprint": "c859693e968a1ea89033f4352dd04eac453870437e5ab412d6eda3acda6e212f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008520-n000004-0000-ccb88c02a9d1c8a3.parquet",
-      "sha256": "ccb88c02a9d1c8a32e04d4c1b356035197f8af561a1d3a9a83997ef59a206550",
-      "bytes": 175077,
-      "rows": 17,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008520-n000004-0000-3524bdc00b724655.parquet",
-      "sha256": "3524bdc00b72465594d95adced0f6a79d55832cdc58527ae5ee2d9b6f43b4f7e",
-      "bytes": 132787,
-      "rows": 2,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008521.lean\",\"e7581ed615fe124986b9b70ccc8ddf40ee05e85d1830b4fa1d298fb7d2c21465\",0,\"lean_workbook_plus_57201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008522.lean\",\"f17de2c8fa34b2fb6fc28a579d310591bc85c71c82739e10e82f48feaf635937\",0,\"lean_workbook_plus_82138\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008523.lean\",\"a746ccbb05e7bb05f4b6180edbc4fd17b2d95a2c1573cac4bb6ed36807d6a3d9\",0,\"lean_workbook_plus_11474\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175077,
+      "path": "data/train/p08/oproofs-s00002-r00008520-n000004-0000-ccb88c02a9d1c8a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ccb88c02a9d1c8a32e04d4c1b356035197f8af561a1d3a9a83997ef59a206550"
+    },
+    {
+      "bytes": 132787,
+      "path": "data/internal_test/p08/oproofs-s00002-r00008520-n000004-0000-3524bdc00b724655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3524bdc00b72465594d95adced0f6a79d55832cdc58527ae5ee2d9b6f43b4f7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008524-n000004.json b/manifests/batches/oproofs/s00002-r00008524-n000004.json
index fa006cbffe7671fee866a649385858d478250f33..89daed836738aad4d1d1ca566a964c05bf6ae70d 100644
--- a/manifests/batches/oproofs/s00002-r00008524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008524-n000004",
   "batch_fingerprint": "b72dc713068a98f1748a2e292a38f0226404ed7cb879567f0081013c95377c26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008524-n000004-0000-3b32635848c73c85.parquet",
-      "sha256": "3b32635848c73c851394f0be539a1c0ace0b7a03a70df7a07cc79937b5ee6613",
-      "bytes": 313179,
-      "rows": 15,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008525.lean\",\"50588f54074720ecbfb5b87b3a1bc37637b789d59d81bbb256c52baf8ca67e95\",0,\"lean_workbook_plus_64524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008526.lean\",\"f4eb9ede4e2277d904695b565a9a526ccfc43bd08a36338ec27303c8e9cbaf57\",0,\"lean_workbook_13992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008527.lean\",\"6ae416baaba2e462a99d56611fb2bdf4a8f62dce7ac13d426e71a145d8fb03b6\",0,\"lean_workbook_36003\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313179,
+      "path": "data/train/pb1/oproofs-s00002-r00008524-n000004-0000-3b32635848c73c85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3b32635848c73c851394f0be539a1c0ace0b7a03a70df7a07cc79937b5ee6613"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008528-n000004.json b/manifests/batches/oproofs/s00002-r00008528-n000004.json
index d28ef204f7a1c7ed8dd0e6945848afbf8fbd4899..fbafd40e32dadac27da06b3e4646b001dff8a8ba 100644
--- a/manifests/batches/oproofs/s00002-r00008528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008528-n000004",
   "batch_fingerprint": "6023b53e49f8db4326097acaebc793a381c5504cffd5a9f27624373811b6cc09",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008528-n000004-0000-6b6d5588d965ffe5.parquet",
-      "sha256": "6b6d5588d965ffe5cd64e5a541d11132f4c1adafadc336f936c717f93c3ff137",
-      "bytes": 419327,
-      "rows": 22,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008529.lean\",\"bd609fc824e9be8c157fe1b2dc59ffa772adcf2093e4b28e4719742ec5aa2719\",0,\"lean_workbook_23832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008530.lean\",\"d6cfe1278490e5e6e626037527af9faaaeaed7d5cc4785e0365be21eccefca2f\",0,\"lean_workbook_plus_72484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008531.lean\",\"bcd88602cb0bc092d2f5517ff951101d05cf82ca533669383c1ee6a7d4e198e5\",0,\"lean_workbook_35426\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419327,
+      "path": "data/train/p38/oproofs-s00002-r00008528-n000004-0000-6b6d5588d965ffe5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6b6d5588d965ffe5cd64e5a541d11132f4c1adafadc336f936c717f93c3ff137"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008532-n000004.json b/manifests/batches/oproofs/s00002-r00008532-n000004.json
index 32f964b72fd632357f5678887dfca1cd14ed60e6..7ab5a57cf708011dbe45d424c27e125856819a2c 100644
--- a/manifests/batches/oproofs/s00002-r00008532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008532-n000004",
   "batch_fingerprint": "c4976d26585772fa19d624722e021229cdb21cfabf6b043c3c02b8b125fcd933",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008532-n000004-0000-ce9a5d0157e87d6f.parquet",
-      "sha256": "ce9a5d0157e87d6fa26cf8a4a68f5b35ed214e11f0baf55548acfcf6d0f8a2e3",
-      "bytes": 181578,
-      "rows": 16,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008532-n000004-0000-64f52a04ea0fa4af.parquet",
-      "sha256": "64f52a04ea0fa4af08f8d13a66a1e0d71f0a02b16548f38a75f479a8526503d6",
-      "bytes": 87547,
-      "rows": 6,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008533.lean\",\"8f5d417c54c03f393c6791d439eae7e07c040c11162af56d18c1aa85378fa24b\",0,\"lean_workbook_plus_68806\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008534.lean\",\"f945f77f966a0ffab49a00ed5dbcf4a9df0bf61d21d32e2cc0af751855bb1163\",0,\"lean_workbook_plus_62705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008535.lean\",\"ff23d10f6be2805d9a12b3edf7e068324cdaa3cba2cadd1314182f7993b3140a\",0,\"lean_workbook_plus_62635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181578,
+      "path": "data/train/pf7/oproofs-s00002-r00008532-n000004-0000-ce9a5d0157e87d6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ce9a5d0157e87d6fa26cf8a4a68f5b35ed214e11f0baf55548acfcf6d0f8a2e3"
+    },
+    {
+      "bytes": 87547,
+      "path": "data/dev/pf7/oproofs-s00002-r00008532-n000004-0000-64f52a04ea0fa4af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "64f52a04ea0fa4af08f8d13a66a1e0d71f0a02b16548f38a75f479a8526503d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008536-n000004.json b/manifests/batches/oproofs/s00002-r00008536-n000004.json
index dfc4bcedbb0cdce3eed7a3f9dae79390941c3831..e22a93a8578b4925fc98a7e14ec52e0c6de3537b 100644
--- a/manifests/batches/oproofs/s00002-r00008536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008536-n000004",
   "batch_fingerprint": "11f72b83a719f53f711d15789c2115213badfc8e220732608e87f4b29856d402",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008536-n000004-0000-a42b192c35a5615c.parquet",
-      "sha256": "a42b192c35a5615c9149b99d91f129a2f1fc1aad529d1e1703c14740467aa3c2",
-      "bytes": 85488,
-      "rows": 13,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8537",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008537.lean\",\"01b70ee05420b9e96bcc28ce5bca78599630fc2715147fc007f95c5c0b9c42ce\",0,\"trapezoid_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008538.lean\",\"30e96ba0e32fa926c388de3ecaa74a3ea4c201c468cc0f759c9954db6c301f5b\",0,\"lean_workbook_plus_36825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008539.lean\",\"87bbc5d02db5576a449c54be1c3f6bd55ecd697011f68accef0ffb37ee641717\",0,\"red_ball_certain_event\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85488,
+      "path": "data/train/p14/oproofs-s00002-r00008536-n000004-0000-a42b192c35a5615c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a42b192c35a5615c9149b99d91f129a2f1fc1aad529d1e1703c14740467aa3c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008540-n000004.json b/manifests/batches/oproofs/s00002-r00008540-n000004.json
index 072b74bb245668ac5d9cd41a41f74b5b3a322a55..8c7251ca9c3439f8b0a48db014010dbb96451f2e 100644
--- a/manifests/batches/oproofs/s00002-r00008540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008540-n000004",
   "batch_fingerprint": "7f69ce7f6b6086121c1ce7c10de7b7d5016be8f59e7b0c833a1c283bd861987d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008540-n000004-0000-687b2ca3de4b6bdc.parquet",
-      "sha256": "687b2ca3de4b6bdce35125b154025d64d46da0928810aab8b5101db94088db9c",
-      "bytes": 254231,
-      "rows": 16,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008540-n000004-0000-dc9e2b7812d5c0fe.parquet",
-      "sha256": "dc9e2b7812d5c0fece52e1da2ec1cb0569ad7883dc9b40d2b90064d0c16b47dc",
-      "bytes": 468773,
-      "rows": 9,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008541.lean\",\"ffe223475bdae0f575cf4cdd291f41f7260bff9e0036d50127089255e9d78cd7\",0,\"lean_workbook_plus_23442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008542.lean\",\"911a00324db0cfc18ac575a626e3407777d73d5145cf64b0d07b3625f39f6ecc\",0,\"lean_workbook_38057\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008543.lean\",\"e32260ea94bd9ff4f2d56c0c488f2c79a36a12f92027282d93cdbce6f35ddeb5\",0,\"lean_workbook_plus_16992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254231,
+      "path": "data/train/pc9/oproofs-s00002-r00008540-n000004-0000-687b2ca3de4b6bdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "687b2ca3de4b6bdce35125b154025d64d46da0928810aab8b5101db94088db9c"
+    },
+    {
+      "bytes": 468773,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00008540-n000004-0000-dc9e2b7812d5c0fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dc9e2b7812d5c0fece52e1da2ec1cb0569ad7883dc9b40d2b90064d0c16b47dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008544-n000004.json b/manifests/batches/oproofs/s00002-r00008544-n000004.json
index 9f02151c4e5a14ddbcf138e4f2acd792de5c01ae..b8be5de64f4e9c1fda8edb4fadf8dea4d3295012 100644
--- a/manifests/batches/oproofs/s00002-r00008544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008544-n000004",
   "batch_fingerprint": "5ab8d255e0c996bdbc0897e513612bb659e39b10c716650fc4ed0901c31f43fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008544-n000004-0000-1a313db0a6dd1b72.parquet",
-      "sha256": "1a313db0a6dd1b721d60159f2c36c6c8c1fd6d6b61cfd4e104e3a55d9625fdde",
-      "bytes": 204060,
-      "rows": 12,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008544-n000004-0000-826d1644f1a3f342.parquet",
-      "sha256": "826d1644f1a3f3423d6e6478c28dbbbfd95996854b8e94529fe0349a3c49fc56",
-      "bytes": 72614,
-      "rows": 9,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008545.lean\",\"f04b66e51bd6fd164eace717d5f264dcd19af37fca17aa93c15c68cae11560bc\",0,\"lean_workbook_plus_82420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008546.lean\",\"ac95cb75dd222e5b8907c1ec2e8af9a521c2f9c36ae0fe124e1526b512c3f18c\",0,\"lean_workbook_plus_29642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008547.lean\",\"8ab5f02f227a3a4c07c219716cffc4514cf9ecf7fe03e1653c090d9f8dd06758\",0,\"lean_workbook_plus_7201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204060,
+      "path": "data/train/paf/oproofs-s00002-r00008544-n000004-0000-1a313db0a6dd1b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1a313db0a6dd1b721d60159f2c36c6c8c1fd6d6b61cfd4e104e3a55d9625fdde"
+    },
+    {
+      "bytes": 72614,
+      "path": "data/internal_test/paf/oproofs-s00002-r00008544-n000004-0000-826d1644f1a3f342.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "826d1644f1a3f3423d6e6478c28dbbbfd95996854b8e94529fe0349a3c49fc56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008548-n000004.json b/manifests/batches/oproofs/s00002-r00008548-n000004.json
index 1fdeab14379958a9e82eb4b4c9818d738183cc0f..196672d16857bf63911f98643702f9c7c118b758 100644
--- a/manifests/batches/oproofs/s00002-r00008548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008548-n000004",
   "batch_fingerprint": "0a06496da5a13f22f2744532fe11a51cd8b902855dd7db4d9566a0e558baf6ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008548-n000004-0000-8a8d7ce907e2eebb.parquet",
-      "sha256": "8a8d7ce907e2eebbb82248e0a55499bb3d79c3846311ad1ee72a9b16ba237b19",
-      "bytes": 151000,
-      "rows": 10,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008548-n000004-0000-98b3e04548601e59.parquet",
-      "sha256": "98b3e04548601e595d98b5adda5df1471c0c3200300da8b728d118c7b9a5c1b4",
-      "bytes": 146218,
-      "rows": 4,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8549",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008549.lean\",\"966c9827908f63cba2aae5d561c54c7df95757a71cf12b6a5ebe416aa25ce621\",0,\"lean_workbook_plus_12405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008550.lean\",\"a88e3cc54e06f67672fd5f15aadf157c5715dfcafc89736ee2a6b1cc4ca00fde\",0,\"lean_workbook_plus_76088\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008551.lean\",\"b7c4c7d17203aac860af4d32345a0091193154faee7536e8fb5ac34386f3a9c8\",0,\"lean_workbook_plus_40077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151000,
+      "path": "data/train/p27/oproofs-s00002-r00008548-n000004-0000-8a8d7ce907e2eebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8a8d7ce907e2eebbb82248e0a55499bb3d79c3846311ad1ee72a9b16ba237b19"
+    },
+    {
+      "bytes": 146218,
+      "path": "data/internal_test/p27/oproofs-s00002-r00008548-n000004-0000-98b3e04548601e59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "98b3e04548601e595d98b5adda5df1471c0c3200300da8b728d118c7b9a5c1b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008552-n000004.json b/manifests/batches/oproofs/s00002-r00008552-n000004.json
index f2e56bd592f7713348818e08e92aec15a41d100c..7ae301cb725a214ecb79ef22f99c9560876242bc 100644
--- a/manifests/batches/oproofs/s00002-r00008552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008552-n000004",
   "batch_fingerprint": "4a2d167b3a1be634105af61b892ffad81f35fe25166d4a98d10b0f87896d7fcb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008552-n000004-0000-f6ccf7b1f7d1fd91.parquet",
-      "sha256": "f6ccf7b1f7d1fd91d0912a9ecbad13f3a5c51b219e58a058e4a559eb068d6c94",
-      "bytes": 625251,
-      "rows": 25,
-      "revision": "97fafd350b0d54d6367abda2bc6395059f772066"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8553",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008553.lean\",\"035bdc5f09e2729b84279a84148d7d05cf301c3f3b52b97d3b99bf32e2d64841\",0,\"lean_workbook_plus_40438\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008554.lean\",\"59ae11ab15a8ad26ae32acbcfecf1625f500ad24e38cf93931ecd1d09f703a1f\",0,\"lean_workbook_plus_53292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008555.lean\",\"1b59362d44da9c8fd8fa1150fed9d41d86e5e9fa2e4331882aabf51fd676170e\",0,\"lean_workbook_plus_73449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625251,
+      "path": "data/train/p03/oproofs-s00002-r00008552-n000004-0000-f6ccf7b1f7d1fd91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f6ccf7b1f7d1fd91d0912a9ecbad13f3a5c51b219e58a058e4a559eb068d6c94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008556-n000004.json b/manifests/batches/oproofs/s00002-r00008556-n000004.json
index 0b210e49eb9b5c36e9c79dc07c9e4c7fbe442600..8994da8bfd5de36444da3302ed6c94572cc6be22 100644
--- a/manifests/batches/oproofs/s00002-r00008556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008556-n000004",
   "batch_fingerprint": "2e99f85fbbf80635bbddcdf6820f42126f8572a5ea630d0c0fa48d0194eb1e81",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008556-n000004-0000-3e8a0c586b7589a2.parquet",
-      "sha256": "3e8a0c586b7589a2e1ac8ed075dfce28020fb9a429e1e24597e4abd2659bd13c",
-      "bytes": 949031,
-      "rows": 17,
-      "revision": "97fafd350b0d54d6367abda2bc6395059f772066"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008557.lean\",\"b304fd23375f28e142dcc112aacb0390b36b397a65b69a9917858cc3c40eb293\",0,\"lean_workbook_plus_19946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008558.lean\",\"4c87228e7e113ada2872e266c0f7071e6227f26158df317bc3432f6a50dd94d0\",0,\"lean_workbook_plus_47995\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008559.lean\",\"477b089753896aba71751ae011dc61dc582d970809839e077e41cbd59cfbd62a\",0,\"lean_workbook_plus_64204\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 949031,
+      "path": "data/train/p09/oproofs-s00002-r00008556-n000004-0000-3e8a0c586b7589a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3e8a0c586b7589a2e1ac8ed075dfce28020fb9a429e1e24597e4abd2659bd13c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008560-n000004.json b/manifests/batches/oproofs/s00002-r00008560-n000004.json
index 33107ae6f364508451429bac1c734fa6b71f368e..2622f7380d75faa5317e8747556b757e86d8c44f 100644
--- a/manifests/batches/oproofs/s00002-r00008560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008560-n000004",
   "batch_fingerprint": "861e746e8e6f87162b6e28bde2c5cf54d2c59a44f4cb7a3394c79fd280dc67fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/oproofs-s00002-r00008560-n000004-0000-fa1145cfec58b31e.parquet",
-      "sha256": "fa1145cfec58b31e11b66b6f8b19655e39a7e9ad42d21dc3aa78fe57de3aa06f",
-      "bytes": 89748,
-      "rows": 6,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008560-n000004-0000-8cc68a57eabec16d.parquet",
-      "sha256": "8cc68a57eabec16d4790188544fef2d4dc25c12b01ff723e2689906285a1ace0",
-      "bytes": 116936,
-      "rows": 8,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008561.lean\",\"1e3b108a1b769ee2de8153dc53654aa1e46b498e30233efac022c3bb4915c7a2\",0,\"lean_workbook_plus_39535\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008562.lean\",\"a36abced38804b7854668b12ea5de19ef7978c7612b5fb80d749c6a890b64dab\",0,\"lean_workbook_plus_50048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008563.lean\",\"e7fbd438d895d05c921cfdcc0fa0c8a1b1279e206d04a7c2fd31180c5765a7b5\",0,\"lean_workbook_plus_27569\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89748,
+      "path": "data/dev/p98/oproofs-s00002-r00008560-n000004-0000-fa1145cfec58b31e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fa1145cfec58b31e11b66b6f8b19655e39a7e9ad42d21dc3aa78fe57de3aa06f"
+    },
+    {
+      "bytes": 116936,
+      "path": "data/internal_test/p98/oproofs-s00002-r00008560-n000004-0000-8cc68a57eabec16d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8cc68a57eabec16d4790188544fef2d4dc25c12b01ff723e2689906285a1ace0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008564-n000004.json b/manifests/batches/oproofs/s00002-r00008564-n000004.json
index b6ae0e6d664189ec27417e7b0491344345b98a94..32a05ff5bbf73af16c92392e5837869e41c3bb80 100644
--- a/manifests/batches/oproofs/s00002-r00008564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008564-n000004",
   "batch_fingerprint": "fa47038cb25a5beb35d1377f86ba5e9ddcdfedd89f44b300f203d1fa8036d3f5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008564-n000004-0000-06529ee73469d249.parquet",
-      "sha256": "06529ee73469d249a001f5bd9bd94b17339cd3f6fdcc8ca7e234e5687c0ba365",
-      "bytes": 281630,
-      "rows": 20,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8565",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008565.lean\",\"605e80669ad71dde56cefca98173846357d246e2e571667b06cc93dac857cb0a\",0,\"quadratic_solution_implies_positive_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008566.lean\",\"be01ba26126a4213a253108333045d80a6e6439c70b81619d65837e9e6246278\",0,\"lean_workbook_plus_81436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008567.lean\",\"37ca48b68f46229cc6b2f195bcc29f3ebe8bbd42071552f546c1dbd1bdfa3326\",0,\"lean_workbook_37167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281630,
+      "path": "data/train/pc0/oproofs-s00002-r00008564-n000004-0000-06529ee73469d249.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "06529ee73469d249a001f5bd9bd94b17339cd3f6fdcc8ca7e234e5687c0ba365"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008568-n000004.json b/manifests/batches/oproofs/s00002-r00008568-n000004.json
index a4ad760dd0829d199e98429a0de862c369772539..1042a8c3cde9cb61abe361a42dc3dd76036e8084 100644
--- a/manifests/batches/oproofs/s00002-r00008568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008568-n000004",
   "batch_fingerprint": "fda17a43b4ccba94cf00dbd17329ea31fce603fa3bef982d6f00d1c9142b8140",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008568-n000004-0000-3f9527757b270388.parquet",
-      "sha256": "3f9527757b27038826a3d800ee4cdfd2ff15c80e915338b00a01b63c650dc750",
-      "bytes": 206218,
-      "rows": 6,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008568-n000004-0000-f1c5639d1976fac7.parquet",
-      "sha256": "f1c5639d1976fac7e597e5a4c1d1999e32764118d1c7eebb1fdd5fcb255c563f",
-      "bytes": 134611,
-      "rows": 11,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8569",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008569.lean\",\"57814c596c91f3fa58f1d36fc99e896f6ddbe55e6061db94677d631c702ceffa\",0,\"lean_workbook_plus_38303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008570.lean\",\"2966913b2342e587e3d68b84449cd7fb1a522ae23b25ee260ed94340c6703cfe\",0,\"lean_workbook_plus_80328\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008571.lean\",\"3a5a38ecd8740efe29b086ffaf6a39222f16100a462788c7394ba21061fe90f0\",0,\"lean_workbook_plus_67351\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206218,
+      "path": "data/train/p46/oproofs-s00002-r00008568-n000004-0000-3f9527757b270388.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3f9527757b27038826a3d800ee4cdfd2ff15c80e915338b00a01b63c650dc750"
+    },
+    {
+      "bytes": 134611,
+      "path": "data/dev/p46/oproofs-s00002-r00008568-n000004-0000-f1c5639d1976fac7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f1c5639d1976fac7e597e5a4c1d1999e32764118d1c7eebb1fdd5fcb255c563f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008572-n000004.json b/manifests/batches/oproofs/s00002-r00008572-n000004.json
index 8977196053205d65db72f4a92a7e35f49e3b9c59..2df68984325ed5d15bccfe5ec729845c54cc2725 100644
--- a/manifests/batches/oproofs/s00002-r00008572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008572-n000004",
   "batch_fingerprint": "40eb69229ae9b9affcb192efae285276bc2e03a84336cdbc32235b1387f72671",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008572-n000004-0000-74ff9879e4b0931a.parquet",
-      "sha256": "74ff9879e4b0931aef72c197b07c4eb807f71c577f2e230b4a6557bd532c7c12",
-      "bytes": 185966,
-      "rows": 11,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008572-n000004-0000-86178f94b69e2d1b.parquet",
-      "sha256": "86178f94b69e2d1b2b0c737f91b0a5138b58ab15471efb4cce10f1fdaf0dacc0",
-      "bytes": 54295,
-      "rows": 4,
-      "revision": "bc07b98d0cd631716d9f588e49e07f900003d5cb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8573",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008573.lean\",\"23d4589d13d8601648749c1604af2b56e01366506e4309e9e477aeb2a47a86ad\",0,\"lean_workbook_25293\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008574.lean\",\"faa340b2d129741b478d17aea85fdac4fea78fc70b0d98a2ad1956be7a070e92\",0,\"lean_workbook_plus_3133\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008575.lean\",\"5fbeb6a739aa484a2a2ee1b0edccca1fc28636c1d5caf2fae887b9b85aa17a37\",0,\"lean_workbook_plus_7869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185966,
+      "path": "data/train/pb9/oproofs-s00002-r00008572-n000004-0000-74ff9879e4b0931a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "74ff9879e4b0931aef72c197b07c4eb807f71c577f2e230b4a6557bd532c7c12"
+    },
+    {
+      "bytes": 54295,
+      "path": "data/internal_test/pb9/oproofs-s00002-r00008572-n000004-0000-86178f94b69e2d1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "86178f94b69e2d1b2b0c737f91b0a5138b58ab15471efb4cce10f1fdaf0dacc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008576-n000004.json b/manifests/batches/oproofs/s00002-r00008576-n000004.json
index bcfd31e85f2cc65c67d1818463442eb769348166..634097806d9b860ccc12cda441c32e7918655803 100644
--- a/manifests/batches/oproofs/s00002-r00008576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008576-n000004",
   "batch_fingerprint": "0c980b6bdf5a6f5b926367bf3d8f5b6fdf543413c7d47e66a8d2ddc356da0cc2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008576-n000004-0000-58a783921991183c.parquet",
-      "sha256": "58a783921991183cff770e7de517ebd8b13d91ab9952155bad68f844db6c8981",
-      "bytes": 207802,
-      "rows": 16,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008577.lean\",\"3b2b6ae4bfc5af2d914782401f51df2bf852d8f6e3297dacec6566aaba2869c8\",0,\"lean_workbook_plus_82138\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008578.lean\",\"601d4e88a7c9b73fd8f8dbad2de88a84756687bf4ceaffe6b572135246570f3c\",0,\"lean_workbook_plus_67013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008579.lean\",\"f81ac6abab239bbfa3fc22c6f8bb6a8b763fe1b7c0feb8ba38ebe56e42998fa0\",0,\"solution_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207802,
+      "path": "data/train/pb1/oproofs-s00002-r00008576-n000004-0000-58a783921991183c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "58a783921991183cff770e7de517ebd8b13d91ab9952155bad68f844db6c8981"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008580-n000004.json b/manifests/batches/oproofs/s00002-r00008580-n000004.json
index 4c21c967ae968831c6ff49f5e28fdf261cc8e85c..658995ecde7c35283cb0e15d3932e496bfa49e44 100644
--- a/manifests/batches/oproofs/s00002-r00008580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008580-n000004",
   "batch_fingerprint": "696598cf6eda9e51dee1f43d8d5ff9828c0eb15190c27cff9a4947d07fd17b62",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008580-n000004-0000-efb5d461925dff49.parquet",
-      "sha256": "efb5d461925dff49763ac809dd550b48b085aeb9f8f1170c3215966f51e77593",
-      "bytes": 173400,
-      "rows": 17,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008580-n000004-0000-b11b167a8dac26f5.parquet",
-      "sha256": "b11b167a8dac26f5da17e1b529d1e86a576b7e87bc3e6bb96820aabdb1c9aeae",
-      "bytes": 137164,
-      "rows": 2,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008581.lean\",\"db1d2428dd7bf4a042dfb4b5b73a273ad29100e6f696417dbd2dda05f9ba3ce6\",0,\"lean_workbook_plus_61437\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008582.lean\",\"4d4f992588f5217e9b02dbd6c8d30c3ac37a51cb996826309f560cf294da5e71\",0,\"lean_workbook_plus_12439\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008583.lean\",\"02607d64fa5c1abab9af6fd4004bb93c8f26ed51f273466ad5cbb69261addc3f\",0,\"lean_workbook_plus_47361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173400,
+      "path": "data/train/p80/oproofs-s00002-r00008580-n000004-0000-efb5d461925dff49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "efb5d461925dff49763ac809dd550b48b085aeb9f8f1170c3215966f51e77593"
+    },
+    {
+      "bytes": 137164,
+      "path": "data/dev/p80/oproofs-s00002-r00008580-n000004-0000-b11b167a8dac26f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b11b167a8dac26f5da17e1b529d1e86a576b7e87bc3e6bb96820aabdb1c9aeae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008584-n000004.json b/manifests/batches/oproofs/s00002-r00008584-n000004.json
index d396f1bd27e13aed4b42376f57901d7a4de760e9..b377735a6e37e4846c9d15dbdcb7383783c52d6d 100644
--- a/manifests/batches/oproofs/s00002-r00008584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008584-n000004",
   "batch_fingerprint": "c765299f00f9b745b943f8b4c78de9cd23cfe586dd3b68533c5b82456823fd32",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8584",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8585",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8586",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8587"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008584.lean\",\"ae778b87a10d5ce353f831e26cb1271fea9816ce608b4545a7eb8f0c5534d32a\",0,\"lean_workbook_54072\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008585.lean\",\"6e3e72860bc6376ea2551662f1b79feb1f6125d706150337fa0d7b1e423654c3\",0,\"lean_workbook_13992\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008586.lean\",\"6a26d18a2781cfd2b2b309615909efaad06bc5e036e1bd52e87cfa27dc61070b\",0,\"lean_workbook_30503\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008587.lean\",\"13a9f9053fba05192329d15765333517863566ddf2427284589c64c05cbeb119\",0,\"lean_workbook_plus_27170\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008584-n000004-0000-2e5b03241e1483fd.parquet",
-      "sha256": "2e5b03241e1483fd3588305692c6b7073bcb5286aab61aca415da91793d8bc93",
       "bytes": 578613,
+      "path": "data/train/p9c/oproofs-s00002-r00008584-n000004-0000-2e5b03241e1483fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
+      "sha256": "2e5b03241e1483fd3588305692c6b7073bcb5286aab61aca415da91793d8bc93"
     },
     {
-      "path": "data/train/oproofs-s00002-r00008584-n000004-0001-0affac85165cb721.parquet",
-      "sha256": "0affac85165cb721c931dc4733479a6f58f23f7d2cdaf368119a0f0b0f524f7c",
       "bytes": 797627,
+      "path": "data/train/p9c/oproofs-s00002-r00008584-n000004-0001-0affac85165cb721.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
+      "sha256": "0affac85165cb721c931dc4733479a6f58f23f7d2cdaf368119a0f0b0f524f7c"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008584-n000004-0000-6afe2ab82b4e4896.parquet",
-      "sha256": "6afe2ab82b4e4896c4a74982b158f78056250cfea2566a644677aa3125b57ccf",
       "bytes": 34357,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00008584-n000004-0000-6afe2ab82b4e4896.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
+      "sha256": "6afe2ab82b4e4896c4a74982b158f78056250cfea2566a644677aa3125b57ccf"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8584",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8585",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8586",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8587"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008584.lean\",\"ae778b87a10d5ce353f831e26cb1271fea9816ce608b4545a7eb8f0c5534d32a\",0,\"lean_workbook_54072\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008585.lean\",\"6e3e72860bc6376ea2551662f1b79feb1f6125d706150337fa0d7b1e423654c3\",0,\"lean_workbook_13992\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008586.lean\",\"6a26d18a2781cfd2b2b309615909efaad06bc5e036e1bd52e87cfa27dc61070b\",0,\"lean_workbook_30503\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008587.lean\",\"13a9f9053fba05192329d15765333517863566ddf2427284589c64c05cbeb119\",0,\"lean_workbook_plus_27170\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008588-n000004.json b/manifests/batches/oproofs/s00002-r00008588-n000004.json
index 8968f69f2eb61f9cee30cd9d40e23840aa8c193a..db88673f60be0b85203b0745477eba23964d6cac 100644
--- a/manifests/batches/oproofs/s00002-r00008588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008588-n000004",
   "batch_fingerprint": "a3c79b1a5f7a04c45638d36f5e0d8962caec70a528c7b5405c99c6ff2f5d1c9b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008588-n000004-0000-a3f6440c0566ed60.parquet",
-      "sha256": "a3f6440c0566ed60b829dc4e740ae9a1a51874299433c3193d63d551815fe9b8",
-      "bytes": 150662,
-      "rows": 10,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008588-n000004-0000-a1955d0b5dc90444.parquet",
-      "sha256": "a1955d0b5dc9044410c3b3eb195c882078e8fa731a465fc9f936b4d11b3a9afe",
-      "bytes": 91216,
-      "rows": 4,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008589.lean\",\"609bfa8d735baabb4f49993f8025566a2d17d38c4f95dd0871a163029035f854\",0,\"lean_workbook_plus_58200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008590.lean\",\"57688e63945ecab43b1454c50a7308aca6cd1536a6ffb1b69fb57f1aa915ed4a\",0,\"lean_workbook_plus_62705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008591.lean\",\"9497ee23cbab010fe3942340ad84747b0ee007ead13e82856ffb63c2c2e6c89c\",0,\"lean_workbook_plus_62635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150662,
+      "path": "data/train/pd7/oproofs-s00002-r00008588-n000004-0000-a3f6440c0566ed60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a3f6440c0566ed60b829dc4e740ae9a1a51874299433c3193d63d551815fe9b8"
+    },
+    {
+      "bytes": 91216,
+      "path": "data/dev/pd7/oproofs-s00002-r00008588-n000004-0000-a1955d0b5dc90444.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a1955d0b5dc9044410c3b3eb195c882078e8fa731a465fc9f936b4d11b3a9afe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008592-n000004.json b/manifests/batches/oproofs/s00002-r00008592-n000004.json
index de5c2a94350e1731df12afa6ab18fdae3fd6df1d..3cd5cc14440baadd6e8c696f387ccb5b1c878c4e 100644
--- a/manifests/batches/oproofs/s00002-r00008592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008592-n000004",
   "batch_fingerprint": "a49f4ddaed733b928e3482d1eeea74199e56f70ebb6a4a3456241d205f98a590",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008592-n000004-0000-ebed1584f963a9d3.parquet",
-      "sha256": "ebed1584f963a9d3fc4982f2601e8a31b6489fcbd6eb8c3f54a8406a9e2b9bf7",
-      "bytes": 219794,
-      "rows": 17,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008593.lean\",\"3620921473c17f38b3677651918882de7536dcf440caad220ec0a657c1ba25a6\",0,\"lean_workbook_10891\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008594.lean\",\"437d9bc71658aa614fa8b96f52b937a37303dd4ca1c2db9022de37184618011d\",0,\"trapezoid_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008595.lean\",\"7009603993520e5ef6d3aefa383a5795c38da0f72055a4f66833dee02ad59063\",0,\"lean_workbook_plus_82398\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219794,
+      "path": "data/train/p45/oproofs-s00002-r00008592-n000004-0000-ebed1584f963a9d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "ebed1584f963a9d3fc4982f2601e8a31b6489fcbd6eb8c3f54a8406a9e2b9bf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008596-n000004.json b/manifests/batches/oproofs/s00002-r00008596-n000004.json
index 798acd3da43756a679114bb0d19333e56624a089..af8c379567360eb7c7d6a362eeae5da1bcdacee8 100644
--- a/manifests/batches/oproofs/s00002-r00008596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008596-n000004",
   "batch_fingerprint": "24b7085995ff5110b8b9f71eb0fd85170900cbed90fc2e1d5843487d4e21ca11",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008596-n000004-0000-03c8b933cfcab794.parquet",
-      "sha256": "03c8b933cfcab794a3f074087205e6fb3c4935380d26ff13942f8242425e2263",
-      "bytes": 246546,
-      "rows": 19,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008597.lean\",\"a17be2871c76bbbc7bdc56d6b7c31a8d969894962e5951d18a889ad11d4aff7e\",0,\"lean_workbook_plus_38607\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008598.lean\",\"1a80f7d171ac0ed1160ef266aaadeb6a8455bf81775372977a94a26625844a41\",0,\"red_ball_certain_event\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008599.lean\",\"46c71ef219867a7669830454dbc9d9d3c6dabadfe64e8bcdf9819f41f6e670a0\",0,\"lean_workbook_plus_36825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246546,
+      "path": "data/train/p18/oproofs-s00002-r00008596-n000004-0000-03c8b933cfcab794.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "03c8b933cfcab794a3f074087205e6fb3c4935380d26ff13942f8242425e2263"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008600-n000004.json b/manifests/batches/oproofs/s00002-r00008600-n000004.json
index d8585dc3aa28f6ad3e7b2fc66573a803bbaae1ff..b978710e247a045624ce5362eb0e9eea49063f55 100644
--- a/manifests/batches/oproofs/s00002-r00008600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008600-n000004",
   "batch_fingerprint": "46e1ae6c02f3e2d20870d82c64111e6ef52dd599a6e14d2a24b2bc6a2b2a96b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008600-n000004-0000-2aee003120535940.parquet",
-      "sha256": "2aee0031205359403b92e004b696f7c314f5888863414e25e5a11023fdd8f269",
-      "bytes": 276285,
-      "rows": 18,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008601.lean\",\"73e3d667d44fe74c6aad09918af786fa517c50c16f71695b0c57d3850752d6f8\",0,\"lean_workbook_plus_76681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008602.lean\",\"6a4a864c6f951dff5e145849ca4ccbcd0a9e489a21fb4f3d493b41eb38fa79e2\",0,\"lean_workbook_46370\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008603.lean\",\"651dc75dd58de56aca11459268bffce7ed431b8e45c3bb9f8013b3dd0263c57f\",0,\"lean_workbook_plus_30251\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276285,
+      "path": "data/train/p0a/oproofs-s00002-r00008600-n000004-0000-2aee003120535940.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2aee0031205359403b92e004b696f7c314f5888863414e25e5a11023fdd8f269"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008604-n000004.json b/manifests/batches/oproofs/s00002-r00008604-n000004.json
index 9bc860b022bb1e7437b49f2c323272e96326102d..3ebccb740f525c95e956fc0b0d6cbdd6cd082cc2 100644
--- a/manifests/batches/oproofs/s00002-r00008604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008604-n000004",
   "batch_fingerprint": "254d35258d712723e1903f127c8eb336deba68e772bc413c53d44ee0e8129867",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008604-n000004-0000-c459d1cf8f1bf4b6.parquet",
-      "sha256": "c459d1cf8f1bf4b65dba630619a98ef8de415401c4808231bd9537a7d4710c8a",
-      "bytes": 380638,
-      "rows": 24,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008604-n000004-0000-70cf4ff3836ad9d6.parquet",
-      "sha256": "70cf4ff3836ad9d614f50aac87ab09f386ff423dc7565663e6439a9a028cdde4",
-      "bytes": 155895,
-      "rows": 6,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008605.lean\",\"12cb635d429c6b6358766ac81cd67120348cd906c3c4d8e8920e2f708205daf9\",0,\"lean_workbook_plus_29642\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008606.lean\",\"0524de25aebe282dd49f86f42e887c331beaece261185f88ab752f4bf7daa8d8\",0,\"lean_workbook_plus_51409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008607.lean\",\"56d30d21196c6ac82f3b94d69a5d08f0cc6abea08dc5382e54760d78dd591b25\",0,\"lean_workbook_plus_82489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380638,
+      "path": "data/train/pfa/oproofs-s00002-r00008604-n000004-0000-c459d1cf8f1bf4b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "c459d1cf8f1bf4b65dba630619a98ef8de415401c4808231bd9537a7d4710c8a"
+    },
+    {
+      "bytes": 155895,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00008604-n000004-0000-70cf4ff3836ad9d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "70cf4ff3836ad9d614f50aac87ab09f386ff423dc7565663e6439a9a028cdde4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008608-n000004.json b/manifests/batches/oproofs/s00002-r00008608-n000004.json
index 8c403ea007be621cbd20b519091f47db94b8de06..a96c2740b33a0ba8f3e83daf20539a41e92ac005 100644
--- a/manifests/batches/oproofs/s00002-r00008608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008608-n000004",
   "batch_fingerprint": "31eb8f8b935b968b73b595700d87e7237e88251e260e2be323bd5cee8dd71334",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008608-n000004-0000-be48a16147a65f7e.parquet",
-      "sha256": "be48a16147a65f7e8d5dc064e766bb0d7b38d803959d59a0e6380b15a469646e",
-      "bytes": 96789,
-      "rows": 6,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008608-n000004-0000-82c648026fcc2659.parquet",
-      "sha256": "82c648026fcc26595b462a91eef2d9b283aeb49ec4413a11a6a621627133ea11",
-      "bytes": 1069287,
-      "rows": 16,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008609.lean\",\"4c9a1a131c31ae1f0510690b1a463585add0332c0f9211ce1b5efd514265cd99\",0,\"lean_workbook_plus_7201\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008610.lean\",\"f2366f6caba7067c60556c8c4d527d365aca27fe364255f211f062a3071c9e2a\",0,\"lean_workbook_plus_12405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008611.lean\",\"eaa2a9c43fe6ad1584a812a0e5c80a283e385ae10cd7c696eeb39b521419a743\",0,\"lean_workbook_plus_72149\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96789,
+      "path": "data/train/p18/oproofs-s00002-r00008608-n000004-0000-be48a16147a65f7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "be48a16147a65f7e8d5dc064e766bb0d7b38d803959d59a0e6380b15a469646e"
+    },
+    {
+      "bytes": 1069287,
+      "path": "data/internal_test/p18/oproofs-s00002-r00008608-n000004-0000-82c648026fcc2659.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "82c648026fcc26595b462a91eef2d9b283aeb49ec4413a11a6a621627133ea11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008612-n000004.json b/manifests/batches/oproofs/s00002-r00008612-n000004.json
index 132c5720ce5733b2aa270fa0d2658ee696955b2a..a9213da42747211117d91c04494e9a959201b930 100644
--- a/manifests/batches/oproofs/s00002-r00008612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008612-n000004",
   "batch_fingerprint": "68dd0cc10aefc1ad081f94b986d9f9034c284ea0118426348c5d0966bc0dabaf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008612-n000004-0000-82a90696c62ac6ac.parquet",
-      "sha256": "82a90696c62ac6ac4f68e60ca6252fb4c3cf82c15c05aa7cabb34787087fcc42",
-      "bytes": 329959,
-      "rows": 23,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008613.lean\",\"833263afaedd98097dae2049d86afbcc778894caf0c1515aed6588b0c411750f\",0,\"lean_workbook_plus_40456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008614.lean\",\"f5eb548d59ffaed1a98b2b6a07c14832e5ce8f6dbdccc3a81491b0dbc429f5f7\",0,\"lean_workbook_plus_43466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008615.lean\",\"f42cf2d07555fb8c855d5bacb779b674b4936797c17d2c4be2fe380af01c37c3\",0,\"lean_workbook_1107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329959,
+      "path": "data/train/pdd/oproofs-s00002-r00008612-n000004-0000-82a90696c62ac6ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "82a90696c62ac6ac4f68e60ca6252fb4c3cf82c15c05aa7cabb34787087fcc42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008616-n000004.json b/manifests/batches/oproofs/s00002-r00008616-n000004.json
index 7bbe0b27644c237dffecd6c4bcc429c4d1756f9a..d61607123e9a11a81f438b0c3c7ad88f2d94c515 100644
--- a/manifests/batches/oproofs/s00002-r00008616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008616-n000004",
   "batch_fingerprint": "94ea1ae09973eeedf2135a05334b844dbe49a9c058031140a37f36e70cc25014",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008616-n000004-0000-a4765a7fb6c1af86.parquet",
-      "sha256": "a4765a7fb6c1af86497db5e1f3c5894cf2e411d2ddaf2c9f9147eed224cfced4",
-      "bytes": 210280,
-      "rows": 14,
-      "revision": "4063e36e606aa2e80b5c99c03f6803e789c4b76d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8617",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008616.lean\",\"59018ce5882a862f047d8a2532b0cb44618a49331bc784552f5ce6719b8f73ce\",0,\"triangle_fold_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008617.lean\",\"1428d99ebafb2a4482e48e7bfdd669d181e6ab6067df914b80061c7bb419f5da\",0,\"lean_workbook_plus_73449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008618.lean\",\"8931fee193101bbf6f9ab27e60e05badb1d14a79240fe1b699c1c39629aa5958\",0,\"lean_workbook_plus_22798\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210280,
+      "path": "data/train/pf7/oproofs-s00002-r00008616-n000004-0000-a4765a7fb6c1af86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a4765a7fb6c1af86497db5e1f3c5894cf2e411d2ddaf2c9f9147eed224cfced4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008620-n000004.json b/manifests/batches/oproofs/s00002-r00008620-n000004.json
index e0e46cb584a392682db23b9e8299453dec5fc9a2..ebd6c73452d1cc653a2a3b69f6963d678a274e90 100644
--- a/manifests/batches/oproofs/s00002-r00008620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008620-n000004",
   "batch_fingerprint": "6ae743452315c9986da9fafe7b4361743802f6533aa1ff8cbdb41a2884b2d382",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008620-n000004-0000-d6334729b5aaa27c.parquet",
-      "sha256": "d6334729b5aaa27c357cc533706705d09db29ae1aafa2cb29251c3df6546fb00",
-      "bytes": 406005,
-      "rows": 24,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008621.lean\",\"c5686dde49afe311753cdc7e2e24d738c65f66051bf5016ae74c1a8f02a9eb14\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008622.lean\",\"8023193afa6daca0cb100baf9022eb43b72293f2cbb3d7c043370d46c15c6a76\",0,\"algebraic_le\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008623.lean\",\"30262da34a16cb3716530a1df6d52e7f9590becb60492ed0f9c068165ef833a7\",0,\"ContinuousAddPreserving\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406005,
+      "path": "data/train/p87/oproofs-s00002-r00008620-n000004-0000-d6334729b5aaa27c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d6334729b5aaa27c357cc533706705d09db29ae1aafa2cb29251c3df6546fb00"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008624-n000004.json b/manifests/batches/oproofs/s00002-r00008624-n000004.json
index df73777ce3b9a9100d133017748f5e952442f4ca..f4f150d1bd2e0391d0f3fb0274a675127fed5331 100644
--- a/manifests/batches/oproofs/s00002-r00008624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008624-n000004",
   "batch_fingerprint": "0ddd878c9307a3e8375a424a81978d8e14f17d7b0ba5be435375805e4690e3d3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008624-n000004-0000-52fc4f410bee9d01.parquet",
-      "sha256": "52fc4f410bee9d01fc1e8015a0942a60b8d182a8ea50e2da999507d1bce31fd0",
-      "bytes": 330336,
-      "rows": 11,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008624-n000004-0000-87e7e461fbbc98fa.parquet",
-      "sha256": "87e7e461fbbc98fa9c2ca54799a934fcffabe5d93eaffaf5d713870fa9973105",
-      "bytes": 53037,
-      "rows": 3,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008625.lean\",\"551020fad47c9724b89bf47009723ee253e5c6d1069e8eafe2b5669a91a54225\",0,\"algebra_465070\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008626.lean\",\"7f71be11389964d396ed619663b8d9de0f72e8b84b81ea91e3a09a30dc9380ad\",0,\"InfinitePoset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008627.lean\",\"8e5bc91e4b4056a7998287f85b66869c88e14a98290bbd555b2194c979beb22b\",0,\"Lagrange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 330336,
+      "path": "data/train/pcd/oproofs-s00002-r00008624-n000004-0000-52fc4f410bee9d01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "52fc4f410bee9d01fc1e8015a0942a60b8d182a8ea50e2da999507d1bce31fd0"
+    },
+    {
+      "bytes": 53037,
+      "path": "data/dev/pcd/oproofs-s00002-r00008624-n000004-0000-87e7e461fbbc98fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "87e7e461fbbc98fa9c2ca54799a934fcffabe5d93eaffaf5d713870fa9973105"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008628-n000004.json b/manifests/batches/oproofs/s00002-r00008628-n000004.json
index ce47aa3c38fd87376e3e7dbe7d80cfae76ad6f59..e228e29c43c49eb19aeb1c7f6f98c19cb2386e5a 100644
--- a/manifests/batches/oproofs/s00002-r00008628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008628-n000004",
   "batch_fingerprint": "a3724d4e0e90022af64a7df03c48452c0f31a8ffee0a7b70377f20626a85cb80",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000008/oproofs-s00002-r00008628-n000004-0000-19ad3497c2581c6b.parquet",
-      "sha256": "19ad3497c2581c6bed17ab48005150461519fd07edc7ce4b6c920983508ab7a0",
-      "bytes": 61150,
-      "rows": 5,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8629",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8630",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008629.lean\",\"37e36cc3fe16342b2b89113df92ef44d45f86c07f871e4ce54d0a418dbc09542\",0,\"algebraic_478964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008630.lean\",\"acc698aec7bfd3fe3a23fb2203a8a1101e9ce2eac3a677cbd21ec25017d0d08e\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008631.lean\",\"479f5d3317894df6e0881a2bc79db55b50b9d0b26bb6c400503219fee4d7fc3a\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61150,
+      "path": "data/train/pe9/oproofs-s00002-r00008628-n000004-0000-19ad3497c2581c6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "19ad3497c2581c6bed17ab48005150461519fd07edc7ce4b6c920983508ab7a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008632-n000004.json b/manifests/batches/oproofs/s00002-r00008632-n000004.json
index 05cf4e9c1847e676b7973420259adbc047f9c5ac..b7362f39f6ded2e0539f73b7ab57e412710837ac 100644
--- a/manifests/batches/oproofs/s00002-r00008632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008632-n000004",
   "batch_fingerprint": "2dd9cf0da11060a08c8c83d5485f55058ba8bf6f3a40ce73a41aa0ff819144c3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008632-n000004-0000-4274379a9ed2ab52.parquet",
-      "sha256": "4274379a9ed2ab527d12b9c4f3b0e167340a35a36c44d7408fc379d4bfc63537",
-      "bytes": 388797,
-      "rows": 18,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008633.lean\",\"79be1c72df89ab4976fd71886cf84b76ce40f9d2c7db0f73d17a4b587e9141f3\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008634.lean\",\"a1f459c2b05550b0ed3566a3fad76fbe7d0bde1f5b1d5155175777c802d73e6b\",0,\"ContinuousDifferentiable\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008635.lean\",\"82432eb6f5519cc37d0d3ff4f771069f93010e072f85e3bfa35d611c8d711397\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388797,
+      "path": "data/train/p08/oproofs-s00002-r00008632-n000004-0000-4274379a9ed2ab52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4274379a9ed2ab527d12b9c4f3b0e167340a35a36c44d7408fc379d4bfc63537"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008636-n000004.json b/manifests/batches/oproofs/s00002-r00008636-n000004.json
index 2798cf702879f29922b36dee6701d0deadb45319..b46a7248447461e835af193eb95783d39ccb20f1 100644
--- a/manifests/batches/oproofs/s00002-r00008636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008636-n000004",
   "batch_fingerprint": "12c37f3605c2c661ae1c4ddcd1a60d6ac64428b68a0e690a96dab50de6c183c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008636-n000004-0000-d71724e63e255ce3.parquet",
-      "sha256": "d71724e63e255ce311459e0ecff97cce7d91d604a99cde7a3cf32889df21dc9d",
-      "bytes": 339746,
-      "rows": 18,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008636-n000004-0000-cb38d35409e4e061.parquet",
-      "sha256": "cb38d35409e4e061fde943eb7f9c98965d9ab592a5f7daeb229bd441881bcf37",
-      "bytes": 53962,
-      "rows": 3,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8637",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008637.lean\",\"9ac8792d999dc236ab6b8df7c9ce62e00b8112131e35e3693a8c728377fed345\",0,\"\u03b8\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008638.lean\",\"bd235ec80d5f48cbef548ceda8dfba794cfef4183c973cdbda42b5609bbff006\",0,\"log_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008639.lean\",\"c3bc81ccd104c0155768dc9bf594422a7ab9c5a5b6027df4b0a2684959b6db5d\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339746,
+      "path": "data/train/p09/oproofs-s00002-r00008636-n000004-0000-d71724e63e255ce3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d71724e63e255ce311459e0ecff97cce7d91d604a99cde7a3cf32889df21dc9d"
+    },
+    {
+      "bytes": 53962,
+      "path": "data/dev/p09/oproofs-s00002-r00008636-n000004-0000-cb38d35409e4e061.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cb38d35409e4e061fde943eb7f9c98965d9ab592a5f7daeb229bd441881bcf37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008640-n000004.json b/manifests/batches/oproofs/s00002-r00008640-n000004.json
index c8032fcff591f7a1eec71e8132f1b2e2c29f3850..15b563cba5004e37997388b5afdbc479afabddf5 100644
--- a/manifests/batches/oproofs/s00002-r00008640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008640-n000004",
   "batch_fingerprint": "6ec241ab7ac40fd058ac02cbf1f0bf4f1df308f7c6fc66109f2c9f5172def881",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008640-n000004-0000-c2a9d6c053f57234.parquet",
-      "sha256": "c2a9d6c053f57234c1e6f86a8b47bee9c1342978f7633c56024990e59bd1db07",
-      "bytes": 87431,
-      "rows": 13,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008641.lean\",\"c18cb98c8a43410ae75520884350eb09a34bb4a2a08eeadd697c0b48e10c156e\",0,\"Polynomial_Basic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008642.lean\",\"cc0d0ecabb9d93d0b187d60ee748f75da02519b01ad0216d80e0b3555ee4f8e9\",0,\"\u03b5u\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008643.lean\",\"1a3ee70b17cc3645bb587b7ed10ec199f57a86d204a332db6c606f3e09e50bf0\",0,\"Lagrange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87431,
+      "path": "data/train/p02/oproofs-s00002-r00008640-n000004-0000-c2a9d6c053f57234.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c2a9d6c053f57234c1e6f86a8b47bee9c1342978f7633c56024990e59bd1db07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008644-n000004.json b/manifests/batches/oproofs/s00002-r00008644-n000004.json
index 44f866f87fe2d77e89b5cdcdbba4c8ae5ecd9397..521f27a9252d7342a690f96489f9d6a6b952fee2 100644
--- a/manifests/batches/oproofs/s00002-r00008644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008644-n000004",
   "batch_fingerprint": "1f9639bf51e53c19c3610c6d7c1605e8fd3f6fc444b4a448a147031aece9c301",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000008/oproofs-s00002-r00008644-n000004-0000-022cc65f5e0f960e.parquet",
-      "sha256": "022cc65f5e0f960e5cf31908870a41421b735e3159c2da23ef4d0ebaf14ba981",
-      "bytes": 871479,
-      "rows": 18,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8645",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008644.lean\",\"beef449ceb405ffb7b6d41bfc962c5f677d70b0315b0c540ec46616cb6fb0853\",0,\"algebra_465070\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008645.lean\",\"7ada694baaee5e89fcb79d074b2143ebe45064e3a8a7737d149ccaf3854bd7de\",0,\"theoremHom\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008647.lean\",\"a8152f2a2e3a00750a9ff4841fd454793a0bbfb5ab7a0106d7a9b63328935a96\",0,\"algebraic_478964\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 871479,
+      "path": "data/train/p50/oproofs-s00002-r00008644-n000004-0000-022cc65f5e0f960e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "022cc65f5e0f960e5cf31908870a41421b735e3159c2da23ef4d0ebaf14ba981"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008648-n000004.json b/manifests/batches/oproofs/s00002-r00008648-n000004.json
index 8264cfee6a75066c773620c22bf8eb10a1bd68c1..08dac3f572bf14a662a1fda39e7f98afb42f2dfc 100644
--- a/manifests/batches/oproofs/s00002-r00008648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008648-n000004",
   "batch_fingerprint": "803a5e450f7f87e05c47c379308b2b45e3c8787cec2daacc77250fdb55ca434e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008648-n000004-0000-0dfb797db8a868c9.parquet",
-      "sha256": "0dfb797db8a868c978d12e3e18ea5e9fc3a7bc7ff9a0119517dff2566624cbe7",
-      "bytes": 227106,
-      "rows": 18,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008649.lean\",\"9cfb59064806dffe8fcddcae92746e59208fbc3d2603e29182cac8a6a9501e54\",0,\"limit_eval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008650.lean\",\"37daafe538abf1b845ccfc0157722de03a201537ab941b32dbe0d749d24e122b\",0,\"Topology.filter_tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008651.lean\",\"1f6baed2db9bb20adce3ec19152161e4a1a3346264d3d20c8321556bb0bee324\",0,\"cot\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227106,
+      "path": "data/train/pac/oproofs-s00002-r00008648-n000004-0000-0dfb797db8a868c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0dfb797db8a868c978d12e3e18ea5e9fc3a7bc7ff9a0119517dff2566624cbe7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008652-n000004.json b/manifests/batches/oproofs/s00002-r00008652-n000004.json
index 983f34af1cb47a62b3d54c306cf52599e06b3bf4..1feaefcb63395aaf6787b159916db95e16b9461c 100644
--- a/manifests/batches/oproofs/s00002-r00008652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008652-n000004",
   "batch_fingerprint": "5261c41aea84e0253d6dd2dd144ecc570f3e47c0dd7cf86de8ec9b5ce86a5751",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8652",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8653",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8654",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8655"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008652.lean\",\"13f05733f786576ccd8977d897395aac9f7bbebb74d317289acb9aae99a7cfd5\",0,\"forClosedSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008653.lean\",\"5636984715b9e3573e94551475e170216f869fda86bde71a674f7df8e1a54c07\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008654.lean\",\"59336c14d54b6f664e514ae6f301576aaeffcbe2592d9b876d2bc74e811af447\",0,\"sumOfPowerSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008655.lean\",\"a613219563902789b624546fd827f3de6e316d4460d2b940bb1b99956bedaf19\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008652-n000004-0000-6655da5057fce676.parquet",
-      "sha256": "6655da5057fce676d1e9c0c2b8002b4c3cad716d2fdf6734ef8cb77624f73db1",
       "bytes": 296577,
+      "path": "data/train/p73/oproofs-s00002-r00008652-n000004-0000-6655da5057fce676.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
+      "sha256": "6655da5057fce676d1e9c0c2b8002b4c3cad716d2fdf6734ef8cb77624f73db1"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008652-n000004-0000-5daa30da1c803dbc.parquet",
-      "sha256": "5daa30da1c803dbc4e1fc4fdf531425704e85c7d7836216d235ad60435dd9b3c",
       "bytes": 53805,
+      "path": "data/dev/p73/oproofs-s00002-r00008652-n000004-0000-5daa30da1c803dbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
+      "sha256": "5daa30da1c803dbc4e1fc4fdf531425704e85c7d7836216d235ad60435dd9b3c"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008652-n000004-0000-1cafefff48f2ac78.parquet",
-      "sha256": "1cafefff48f2ac78ce1269f2766232885a5091bca159a0e5b6b697fa60a62f0a",
       "bytes": 36482,
+      "path": "data/internal_test/p73/oproofs-s00002-r00008652-n000004-0000-1cafefff48f2ac78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
+      "sha256": "1cafefff48f2ac78ce1269f2766232885a5091bca159a0e5b6b697fa60a62f0a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8652",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8653",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8654",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8655"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008652.lean\",\"13f05733f786576ccd8977d897395aac9f7bbebb74d317289acb9aae99a7cfd5\",0,\"forClosedSet\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008653.lean\",\"5636984715b9e3573e94551475e170216f869fda86bde71a674f7df8e1a54c07\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008654.lean\",\"59336c14d54b6f664e514ae6f301576aaeffcbe2592d9b876d2bc74e811af447\",0,\"sumOfPowerSet\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008655.lean\",\"a613219563902789b624546fd827f3de6e316d4460d2b940bb1b99956bedaf19\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008656-n000004.json b/manifests/batches/oproofs/s00002-r00008656-n000004.json
index 202ff58e1041facf27100313d46c0a9be972b541..fdacf38aa611feebedc80bc2b576faa77a791d30 100644
--- a/manifests/batches/oproofs/s00002-r00008656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008656-n000004",
   "batch_fingerprint": "0363bf71060b879efb33b7108221539975e361034254a7d3ae3d31967ddd9a1a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008656-n000004-0000-2782164e257dc8ea.parquet",
-      "sha256": "2782164e257dc8eabbd6d364a3a140cc1945c02e4c4a2859c7632033d9c6dba0",
-      "bytes": 329428,
-      "rows": 22,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008657.lean\",\"d425e7de6c8b46c027bee1e0fcfd3297281348146df2dbe9e8e77878e2d6e646\",0,\"algebraic_le\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008658.lean\",\"a20efbae08bf900ed35eeeb92f45675dc2ad04ce24316ef14ce71b9cf3e0b597\",0,\"Polynomial_Basic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008659.lean\",\"9f828a751b38704b90224949386c5c3e8f410e40b7fc9e848cdd94527ec4edb8\",0,\"Lagrange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329428,
+      "path": "data/train/p7f/oproofs-s00002-r00008656-n000004-0000-2782164e257dc8ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2782164e257dc8eabbd6d364a3a140cc1945c02e4c4a2859c7632033d9c6dba0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008660-n000004.json b/manifests/batches/oproofs/s00002-r00008660-n000004.json
index 58f64a9216429bb72c6ee234752948146cbdfda2..f86f0660b0bed77848b726a2e29038d9df1a0338 100644
--- a/manifests/batches/oproofs/s00002-r00008660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008660-n000004",
   "batch_fingerprint": "bd55621ff58e0dd19346a364579a340ff43de438cd88fb150fc46e357878fae6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008660-n000004-0000-3c2e615489125375.parquet",
-      "sha256": "3c2e6154891253753fab3f0019487cfcfb4a8077301f287727b1db8bcae8b9e4",
-      "bytes": 363024,
-      "rows": 15,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8661",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008661.lean\",\"158435545e0f8b2c5a949e699a0e5d8a8d4bde3f1dba350079fbfc838f554700\",0,\"n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008662.lean\",\"81c04a6350e057cc7f0ad7daf9ec41dad3097c45fe20329d13ab95d64bdbbbd4\",0,\"algebra_465070\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008663.lean\",\"e5487df2e4ea80742d7cca4289af543b4bd57aa85766575185c5e11c47586df0\",0,\"isOpen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363024,
+      "path": "data/train/p3c/oproofs-s00002-r00008660-n000004-0000-3c2e615489125375.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "3c2e6154891253753fab3f0019487cfcfb4a8077301f287727b1db8bcae8b9e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008664-n000004.json b/manifests/batches/oproofs/s00002-r00008664-n000004.json
index 3a9b91e61ab25fb1875e5783238eb0b3780bbde0..b705693c0cfb9362b5ecb8110c8ac03c9cd8a114 100644
--- a/manifests/batches/oproofs/s00002-r00008664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008664-n000004",
   "batch_fingerprint": "18f323c25c1963118f3eb963d22ab75cf92f69bc1249705b7bcd82519c3522ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008664-n000004-0000-609d766469adb138.parquet",
-      "sha256": "609d766469adb138a66be342d0a45d0670b95fa7663d160a1c08cf708af8c0d0",
-      "bytes": 302328,
-      "rows": 15,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8665",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008665.lean\",\"81af0b75b7c16eecf4c138239ff63e76590b245713ff6d09d79541350323d94e\",0,\"sin\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008666.lean\",\"574b05b40425d64adeadf0045eb2daf018a334f3e1d0015600e89d001620deaa\",0,\"Topology.filter_tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008667.lean\",\"fb0bb35b092a4172b810e71196f7b5db873843821724738985fff4cf56fc1b42\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302328,
+      "path": "data/train/pb9/oproofs-s00002-r00008664-n000004-0000-609d766469adb138.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "609d766469adb138a66be342d0a45d0670b95fa7663d160a1c08cf708af8c0d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008668-n000004.json b/manifests/batches/oproofs/s00002-r00008668-n000004.json
index 6041923c6cf4fb4dc322231f98036099438e86c3..3de30c77efbc102c364e7dcc191c8ebcdefb27bf 100644
--- a/manifests/batches/oproofs/s00002-r00008668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008668-n000004",
   "batch_fingerprint": "ab0087136210845b4f49f4a0379611fce6710be90b3b8de05e54d07b2ed55079",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008668-n000004-0000-e4e6cb4c8b4d869e.parquet",
-      "sha256": "e4e6cb4c8b4d869e5d129329ef8b34eb88c5e63a5ef8bc3b3f46c8d44a4f93be",
-      "bytes": 314019,
-      "rows": 16,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008668-n000004-0000-0860f6f7ddc6a584.parquet",
-      "sha256": "0860f6f7ddc6a584ae18fafdb3c21cf5c42eefe773fc9508fa5ea7da2464c0bb",
-      "bytes": 36954,
-      "rows": 3,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008669.lean\",\"41387c35dbb3355349f0428ff4372d8e8ab8c6cb356122eddd8a4e52574960c2\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008670.lean\",\"5c03226b7ea9e35c0e45f618abbffdf5d3f4beb1fe8d5e3c57d4316a5ee29903\",0,\"sumOfPowerSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008671.lean\",\"b993258dd29859af7271cad11a17cf67de2e950c60599282f4be46128b9367c7\",0,\"EPM_rank_tight\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314019,
+      "path": "data/train/p1d/oproofs-s00002-r00008668-n000004-0000-e4e6cb4c8b4d869e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e4e6cb4c8b4d869e5d129329ef8b34eb88c5e63a5ef8bc3b3f46c8d44a4f93be"
+    },
+    {
+      "bytes": 36954,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00008668-n000004-0000-0860f6f7ddc6a584.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0860f6f7ddc6a584ae18fafdb3c21cf5c42eefe773fc9508fa5ea7da2464c0bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008672-n000004.json b/manifests/batches/oproofs/s00002-r00008672-n000004.json
index 96c87a43f4e8fb09e897ebb3ea9927e1d24903bb..c932bd02d031bb5f7d94582ac74879b706c2f891 100644
--- a/manifests/batches/oproofs/s00002-r00008672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008672-n000004",
   "batch_fingerprint": "b415693f72751f6f30b2b8bade2fcb99e426cd62fa76a2048d25a6365e01d0f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008672-n000004-0000-364249fcc52e4502.parquet",
-      "sha256": "364249fcc52e4502d45a3805f42f9052e54a549a49495b98bd92e8a57b448d38",
-      "bytes": 187048,
-      "rows": 12,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008673.lean\",\"088f9073533e219aa7b6718a430e4d0578b525aff75d80b666ac5e733d967084\",0,\"\u03b5u\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008674.lean\",\"40bd108e97e1b1276c8582e5716f4dd714c13cbbe132ea2d09569a65368ad820\",0,\"InfinitePoset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008675.lean\",\"49f334bc602564a51b94c5594cc1eb873250faad559a5c6576d7bdf2308b15ef\",0,\"Lagrange\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187048,
+      "path": "data/train/p91/oproofs-s00002-r00008672-n000004-0000-364249fcc52e4502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "364249fcc52e4502d45a3805f42f9052e54a549a49495b98bd92e8a57b448d38"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008676-n000004.json b/manifests/batches/oproofs/s00002-r00008676-n000004.json
index 72756de2ebad03c8bed202a2712d19e6e0d5bbb4..5e1ec9abf266fe72dd68dd8cc6d8695080b26b95 100644
--- a/manifests/batches/oproofs/s00002-r00008676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008676-n000004",
   "batch_fingerprint": "49d81c703e537c51191f82e793bd36b565d4144a9fd6e276c43060cc3d8efdf5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008676-n000004-0000-8d17d97425c69568.parquet",
-      "sha256": "8d17d97425c695680f0f194d40544efde91012d263901b45b1e1a2c7e6ca9c1d",
-      "bytes": 206156,
-      "rows": 20,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008677.lean\",\"77efe240706441f6e56e97fdfe92cf4a85f9f42696cb0caa89c0c28bcc5b11d7\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008678.lean\",\"37f7ba204363ea25272d4b1674259583b2119d6a377dbf0b4ae38e9d5813630e\",0,\"algebraic_478964\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008679.lean\",\"68edab5c0f14ae3807154763e748eeefb9c1eb5043f03ff9cc39dd78e80586bf\",0,\"n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206156,
+      "path": "data/train/p01/oproofs-s00002-r00008676-n000004-0000-8d17d97425c69568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8d17d97425c695680f0f194d40544efde91012d263901b45b1e1a2c7e6ca9c1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008680-n000004.json b/manifests/batches/oproofs/s00002-r00008680-n000004.json
index 92d9a34ae512977eba019e6ef7ac7b54f8e60745..3eea21433a221ae27cef7c1495d3410aa297af99 100644
--- a/manifests/batches/oproofs/s00002-r00008680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008680-n000004",
   "batch_fingerprint": "6ab1fbc2f3d1d2cc52c3323e78bcbce7292e2b02035d994e0e2f868947d4a968",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008680-n000004-0000-d5e5fa07c4fe9e44.parquet",
-      "sha256": "d5e5fa07c4fe9e4456e56880556b39da2a6b9244a29f4a7092a9f82703f24d67",
-      "bytes": 514085,
-      "rows": 15,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008680-n000004-0000-52be1445867b7412.parquet",
-      "sha256": "52be1445867b7412dcd87c21dbfa02c5e4cd2ada328015574f9b8d519e7547a5",
-      "bytes": 34794,
-      "rows": 4,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008681.lean\",\"7bd2d235f5c8164e0adfe4189760657083c7bcc4308cfecb3bc356022249cf10\",0,\"algebra_465070\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008682.lean\",\"730906c3253ef1e59edfecf65f6b2b8817a5bccd1c3c2c4d275db93cfa61f0dc\",0,\"lean_workbook_39368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008683.lean\",\"7fa5c5888222c6d999d40b415a149dae7fb6516cf75795742383f8dbd814c8e4\",0,\"pure_imaginary_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 514085,
+      "path": "data/train/p2b/oproofs-s00002-r00008680-n000004-0000-d5e5fa07c4fe9e44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d5e5fa07c4fe9e4456e56880556b39da2a6b9244a29f4a7092a9f82703f24d67"
+    },
+    {
+      "bytes": 34794,
+      "path": "data/internal_test/p2b/oproofs-s00002-r00008680-n000004-0000-52be1445867b7412.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "52be1445867b7412dcd87c21dbfa02c5e4cd2ada328015574f9b8d519e7547a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008684-n000004.json b/manifests/batches/oproofs/s00002-r00008684-n000004.json
index 11d08c69e4c7b3477070b5f343d6261566b070cf..d01b19a00d54b0616e4e16c18153a0f74ca060d7 100644
--- a/manifests/batches/oproofs/s00002-r00008684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008684-n000004",
   "batch_fingerprint": "810e6a641748892f9ce0825ad5634d3b3aae3884d3e485554e320991dbdbaa30",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008684-n000004-0000-0e755262c9acd515.parquet",
-      "sha256": "0e755262c9acd515ca9072912a97aa9d4b3e5ef1db5494f5f9a871acc2974e3e",
-      "bytes": 149413,
-      "rows": 19,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008685.lean\",\"a9f7a23af35aeabb9c250535dbe472c1dadcd91a6c3ca07fdaa130656c3f2fdd\",0,\"lean_workbook_plus_60152\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008686.lean\",\"d0a81ee7fa2492d4621a8f6c1b024c80ad97ae7890dc94b445725865e7d771b4\",0,\"lean_workbook_plus_47537\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008687.lean\",\"2311d86c1ff6589db9734db222f54c831ba8fa209824e782a515d7e14c6b95d0\",0,\"lean_workbook_plus_36189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149413,
+      "path": "data/train/pa2/oproofs-s00002-r00008684-n000004-0000-0e755262c9acd515.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0e755262c9acd515ca9072912a97aa9d4b3e5ef1db5494f5f9a871acc2974e3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008688-n000004.json b/manifests/batches/oproofs/s00002-r00008688-n000004.json
index 58a3b8b48553892106ca45b0e30693e587bd1d2e..412d81a90b2c7196e02312640f59e74b0fb2ce21 100644
--- a/manifests/batches/oproofs/s00002-r00008688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008688-n000004",
   "batch_fingerprint": "49069f9f5b93b35b7f69262caf78532d81cb8a611a75bcbee82a2e8b4ef27c17",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008688-n000004-0000-7bd2174c327116c0.parquet",
-      "sha256": "7bd2174c327116c02d9ac66c0b3657b27d8afd467c30929cf1045603a7131801",
-      "bytes": 246607,
-      "rows": 19,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008688-n000004-0000-cab479155085a52e.parquet",
-      "sha256": "cab479155085a52e6438b1ce922a76799fc6acbda4349c0a58c7801ca48f85ed",
-      "bytes": 63230,
-      "rows": 2,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008689.lean\",\"6b123d25c1f6893de094a3b4a8a7fc79cd5210e4bf1f0feea324fb522e883c61\",0,\"lean_workbook_plus_51564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008690.lean\",\"b426b3b93d660270b919edf20c288c93eed0115eae897c8d6a23d15c3fb85ac9\",0,\"lean_workbook_47255\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008691.lean\",\"8d17880a757617604e4dab6cefa68d59457bc4474aee5bc7b076fc04ec81f615\",0,\"lean_workbook_plus_22178\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246607,
+      "path": "data/train/p9a/oproofs-s00002-r00008688-n000004-0000-7bd2174c327116c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7bd2174c327116c02d9ac66c0b3657b27d8afd467c30929cf1045603a7131801"
+    },
+    {
+      "bytes": 63230,
+      "path": "data/dev/p9a/oproofs-s00002-r00008688-n000004-0000-cab479155085a52e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cab479155085a52e6438b1ce922a76799fc6acbda4349c0a58c7801ca48f85ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008692-n000004.json b/manifests/batches/oproofs/s00002-r00008692-n000004.json
index a1700abd228dc8b50d2a1e56ee20cb4b2b2871ac..617d28dd86b148e7825caf08aab298b403635c2c 100644
--- a/manifests/batches/oproofs/s00002-r00008692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008692-n000004",
   "batch_fingerprint": "3ce31e19ec78dbb9e0eafb84ff95ef274b7202e437b1a71023b4d887c75ce0dd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008692-n000004-0000-eae02d9f233f18a2.parquet",
-      "sha256": "eae02d9f233f18a281abf7937974fffca620e3333b1e08ce19413176048ebd99",
-      "bytes": 152241,
-      "rows": 12,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008693.lean\",\"89fe1d152543837b5247b6714a266258e4ac94de7b29f1c82559dd9df441e301\",0,\"lean_workbook_16063\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008694.lean\",\"a967c50e232589f0ab7dd4ba00439abb6b4b40634fc4e9eb4e2614a68ef36c4b\",0,\"divisible_k_plus_two_by_303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008695.lean\",\"c1ffc7c9a196f2d87f9a1807df85bc1a06dd7faa9e499921b08424802ef2766b\",0,\"lean_workbook_plus_53556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152241,
+      "path": "data/train/p60/oproofs-s00002-r00008692-n000004-0000-eae02d9f233f18a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "eae02d9f233f18a281abf7937974fffca620e3333b1e08ce19413176048ebd99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008696-n000004.json b/manifests/batches/oproofs/s00002-r00008696-n000004.json
index 0a5988fd93744938f639af4bd4b5be5cddf4fb8b..411f9c286a759d3a7f743ab292cab743f28a46da 100644
--- a/manifests/batches/oproofs/s00002-r00008696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008696-n000004",
   "batch_fingerprint": "60f6466172326ef31c0309f441b712b1adddfbec90c98f2ef10b39d1e8f41f5d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008696-n000004-0000-f9f607ddf6ae522a.parquet",
-      "sha256": "f9f607ddf6ae522a68401bc3f263db44836130c82c5e406c03eb65aaae3e89bb",
-      "bytes": 503736,
-      "rows": 22,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008697.lean\",\"4acc7d5026fba61570bc4d95f8c9b96a1873d6cf8fad25feb6d92cbb67852957\",0,\"lean_workbook_plus_29187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008698.lean\",\"b78b5a5ec49485bddf63541d6697587936aa44140677529ee34bc7f55c47ddff\",0,\"lean_workbook_plus_24218\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008699.lean\",\"15851ce28dff13e8fb92f9eb9579c409117e183f469e5d2c4146b42fdf51e4d2\",0,\"lean_workbook_plus_58024\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503736,
+      "path": "data/train/pe0/oproofs-s00002-r00008696-n000004-0000-f9f607ddf6ae522a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f9f607ddf6ae522a68401bc3f263db44836130c82c5e406c03eb65aaae3e89bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008700-n000004.json b/manifests/batches/oproofs/s00002-r00008700-n000004.json
index 3e296b231e2a7aa0c046ca532237285c6ebc58a4..bbb9516b5f47d63a6bae8004a47e726eabb1a05c 100644
--- a/manifests/batches/oproofs/s00002-r00008700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008700-n000004",
   "batch_fingerprint": "876e569c3a3915d8817c0f0bbb5a041dbeeacba524d2dd17f7b84bd9b2b4430c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008700-n000004-0000-0b40c1af1b858870.parquet",
-      "sha256": "0b40c1af1b85887015bd1218466c96ea678aa2d5712be21f25380fccd057338a",
-      "bytes": 103512,
-      "rows": 14,
-      "revision": "082e422b0d4a81945b581d393e28cd0fb5b99abb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8701",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008701.lean\",\"02e4c959f5235f6ee01d817a6e3f37b6af23f6e3e418df6b0e49b412c6c6e463\",0,\"lean_workbook_19113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008702.lean\",\"c56429dee9a8529e3dd30cfc9d893b9efe9e21a740e56055849aa0254be6b2b2\",0,\"lean_workbook_21161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008703.lean\",\"77d0549a4bee6f60a4403f77fb7e8241109aa1a78a0bec6acbda201b6e3efe88\",0,\"lean_workbook_plus_67650\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103512,
+      "path": "data/train/pec/oproofs-s00002-r00008700-n000004-0000-0b40c1af1b858870.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0b40c1af1b85887015bd1218466c96ea678aa2d5712be21f25380fccd057338a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008704-n000004.json b/manifests/batches/oproofs/s00002-r00008704-n000004.json
index f59841a02a8422c9192d977a7728178011f17d61..14db1b9c3d6e57333c7d358abe2a647c187f4014 100644
--- a/manifests/batches/oproofs/s00002-r00008704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008704-n000004",
   "batch_fingerprint": "faf6cbdbd83048649d516d8fd6587bc089caf845415f7e75d837298cdba626a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008704-n000004-0000-5fe43ea754491b16.parquet",
-      "sha256": "5fe43ea754491b1664507d1f8876019a0d2181ffb04af65b85f47bf0773ba6a8",
-      "bytes": 348647,
-      "rows": 23,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008704-n000004-0000-13c6aa0e3375db89.parquet",
-      "sha256": "13c6aa0e3375db895fa78b95be56929fec66e27e32a8294b6eccf971a7f9878f",
-      "bytes": 120577,
-      "rows": 9,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008705.lean\",\"efe0791b764f388a2cd7df8a742400e2d8325b78aa347d5d2f7ff8ee7cfd4dce\",0,\"lean_workbook_14641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008706.lean\",\"ea5d0482b7527e77346611b4432a94a7abe6d034754cb39e39e88d4dd57cf8c6\",0,\"lean_workbook_30033\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008707.lean\",\"f762247d9ec897242a1df3dc5f50ed2006b7cc616ec1d03cd5832b41883ae790\",0,\"lean_workbook_plus_67733\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348647,
+      "path": "data/train/p56/oproofs-s00002-r00008704-n000004-0000-5fe43ea754491b16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5fe43ea754491b1664507d1f8876019a0d2181ffb04af65b85f47bf0773ba6a8"
+    },
+    {
+      "bytes": 120577,
+      "path": "data/dev/p56/oproofs-s00002-r00008704-n000004-0000-13c6aa0e3375db89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "13c6aa0e3375db895fa78b95be56929fec66e27e32a8294b6eccf971a7f9878f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008708-n000004.json b/manifests/batches/oproofs/s00002-r00008708-n000004.json
index 3c12b71ba6a3d3a2b448ce276ca229061eeb9702..d59bdd6c46cf20ac08f938c43d5e0852f32517ed 100644
--- a/manifests/batches/oproofs/s00002-r00008708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008708-n000004",
   "batch_fingerprint": "5717739b8a82a19a0b7ad3faa86d9fb33cc62a5c33acc91920c42deeb612b72d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008708-n000004-0000-c758fe3d9f25fc3e.parquet",
-      "sha256": "c758fe3d9f25fc3e5c49df8a35beeaf9b3952649a8a623591a2f440bd41b09fd",
-      "bytes": 83135,
-      "rows": 8,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008708-n000004-0000-a089304e281ba082.parquet",
-      "sha256": "a089304e281ba082c183d158233345c51fcd7d8beeda638cad16ba13d472b875",
-      "bytes": 125906,
-      "rows": 6,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8709",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008709.lean\",\"467266fa6b9525577c002141782ff8a74b7c333652c1ad266df299c8821ee03c\",0,\"lean_workbook_plus_36242\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008710.lean\",\"a1309932caadd28d0a1b5ba58548b107ca62c31d1c715a28245f56476e371a4c\",0,\"lean_workbook_plus_42428\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008711.lean\",\"e4f296c53d03e0336902a3c0231f88095e9aa4ed0470f549e3ddd06030f0f5d6\",0,\"lean_workbook_plus_66268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83135,
+      "path": "data/train/p8f/oproofs-s00002-r00008708-n000004-0000-c758fe3d9f25fc3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c758fe3d9f25fc3e5c49df8a35beeaf9b3952649a8a623591a2f440bd41b09fd"
+    },
+    {
+      "bytes": 125906,
+      "path": "data/dev/p8f/oproofs-s00002-r00008708-n000004-0000-a089304e281ba082.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a089304e281ba082c183d158233345c51fcd7d8beeda638cad16ba13d472b875"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008712-n000004.json b/manifests/batches/oproofs/s00002-r00008712-n000004.json
index f8c051cf3c55ca09d1bbfbcabfa1a483522946e8..74023e838fe8f9641cd057c6c7b8f220b4fa2174 100644
--- a/manifests/batches/oproofs/s00002-r00008712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008712-n000004",
   "batch_fingerprint": "64f6a75caccef5d434cee73703d9b693648f427be2c4de5d3eea4923146872b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008712-n000004-0000-30b4d92119db475f.parquet",
-      "sha256": "30b4d92119db475f7d21433608629005ff78f83d62c7c493646ae9ae5a7bb375",
-      "bytes": 207658,
-      "rows": 13,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008712-n000004-0000-f9e0ed6e0bc42f7e.parquet",
-      "sha256": "f9e0ed6e0bc42f7e6249239399554f744eca83dec3c70a931387e444ad97d99d",
-      "bytes": 229381,
-      "rows": 6,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8713",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008713.lean\",\"0d93df951f93cf21f7992afc88c2bc5751fe986e1e7e23bed7a7fcd8de7d54b2\",0,\"lean_workbook_plus_60343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008714.lean\",\"ce9d1f35f91a1cce7e85e42df5630dc45fc3d1abc34f4ec061d929119717afd2\",0,\"lean_workbook_plus_14978\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008715.lean\",\"d29207b922b5918ceaf1ed0e1d1f1fc8870d22ad2f8eeb63a498544f4d0ab60a\",0,\"lean_workbook_plus_63695\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207658,
+      "path": "data/train/p90/oproofs-s00002-r00008712-n000004-0000-30b4d92119db475f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "30b4d92119db475f7d21433608629005ff78f83d62c7c493646ae9ae5a7bb375"
+    },
+    {
+      "bytes": 229381,
+      "path": "data/internal_test/p90/oproofs-s00002-r00008712-n000004-0000-f9e0ed6e0bc42f7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f9e0ed6e0bc42f7e6249239399554f744eca83dec3c70a931387e444ad97d99d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008716-n000004.json b/manifests/batches/oproofs/s00002-r00008716-n000004.json
index c7ba0c3110b49e6b2d428a73bd14dd2d10d753ab..fd760f41ee2d7c589ca7ca060b8af4102827bd85 100644
--- a/manifests/batches/oproofs/s00002-r00008716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008716-n000004",
   "batch_fingerprint": "7162cb428512f43b4c261fff0d444034bb261dca9163dd8e5e1921e2ee0a9dbe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008716-n000004-0000-f417ff3497c6de41.parquet",
-      "sha256": "f417ff3497c6de4125093f080e6400bc4c351c475e8c2b6013cff5a88ccb386b",
-      "bytes": 135661,
-      "rows": 16,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008717.lean\",\"80af577d1aac757aa4208718fbe2ad6d2b59f2652e5849f9ec966a2561416ce7\",0,\"lean_workbook_plus_37103\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008718.lean\",\"960de831a59368f246b5f0470cf13d4516364c4cfd9f9f5db6971730a1e6f9d3\",0,\"lean_workbook_plus_34239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008719.lean\",\"4535e57e2ef807ba96eb598fe0c4b302c299a2c697ed78cc629c3859a01bdc39\",0,\"lean_workbook_plus_45015\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135661,
+      "path": "data/train/pc7/oproofs-s00002-r00008716-n000004-0000-f417ff3497c6de41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f417ff3497c6de4125093f080e6400bc4c351c475e8c2b6013cff5a88ccb386b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008720-n000004.json b/manifests/batches/oproofs/s00002-r00008720-n000004.json
index 808e6c1aa94ae6e337b3013d9e2377c7ef759d53..ebba3e994a638c191308ce15af4bd9167e64f454 100644
--- a/manifests/batches/oproofs/s00002-r00008720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008720-n000004",
   "batch_fingerprint": "7cce2ad6c6ea84dbdf31600c41bb9dff3b653328449ae0e26f2369d2f33fb1fa",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008720-n000004-0000-aef6c7abc456fb45.parquet",
-      "sha256": "aef6c7abc456fb450530c4e4c4eb5a3a7123e002c0016cd3ecc9a2962345ee4d",
-      "bytes": 388587,
-      "rows": 17,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008721.lean\",\"b58f6e50b90c9091b8c1e0649a387516625be80d4c6f03d3b5191b4a2708e7ff\",0,\"lean_workbook_plus_23424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008722.lean\",\"85ef0dd18f23a062c82af7b07fb0eb1b35a0dc4fab89d270b88706ff6b186059\",0,\"lean_workbook_plus_51988\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008723.lean\",\"24a80c1ac201d70293d7151f7c0440fdd3ef07f32cd53b66376cefea443f76c1\",0,\"lean_workbook_55713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 388587,
+      "path": "data/train/p4e/oproofs-s00002-r00008720-n000004-0000-aef6c7abc456fb45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "aef6c7abc456fb450530c4e4c4eb5a3a7123e002c0016cd3ecc9a2962345ee4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008724-n000004.json b/manifests/batches/oproofs/s00002-r00008724-n000004.json
index e1147c92081f10ca28e5712358ab2c4a699f67d1..bb1dfa38d6f89e23a6b8038d64edb29e80347991 100644
--- a/manifests/batches/oproofs/s00002-r00008724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008724-n000004",
   "batch_fingerprint": "bdac0fada958c326d3705acf6e1690aa9510a6bde7ffa64a67bdb309088faeeb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008724-n000004-0000-42b7226500011166.parquet",
-      "sha256": "42b72265000111669d9339aecdb859582a3e2e5a21a8f08b29ab71cd27d35dd8",
-      "bytes": 513250,
-      "rows": 18,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008725.lean\",\"de31c0997c55c00b5abb5fee986a9f475aa5de8165e91ecca0176e2884a7224b\",0,\"lean_workbook_plus_11538\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008726.lean\",\"96e9070c754a3a05c5e98f9be074841f0a7c5d260de3a658cd035ced7d39912c\",0,\"lean_workbook_plus_43522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008727.lean\",\"827ad0cd846800930f28e8e897b7c043bf103afb4925b93caeecfe29ad402f34\",0,\"lean_workbook_36122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 513250,
+      "path": "data/train/p0f/oproofs-s00002-r00008724-n000004-0000-42b7226500011166.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "42b72265000111669d9339aecdb859582a3e2e5a21a8f08b29ab71cd27d35dd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008728-n000004.json b/manifests/batches/oproofs/s00002-r00008728-n000004.json
index e293287ab7ae1e7c98413a7a77ebf98ebb841a9a..e83019d49ab0e4488a21150e4fc26356fff1b28c 100644
--- a/manifests/batches/oproofs/s00002-r00008728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008728-n000004",
   "batch_fingerprint": "4f29963160ad6b538d27389f9e17a3efd712fe5e2c6e6926d17b73d46f5ff713",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008728-n000004-0000-68f0a3bff2cf3593.parquet",
-      "sha256": "68f0a3bff2cf35931fcb27c01361a67c04c5c2c5e6f604dc9f31a18626b9019f",
-      "bytes": 130316,
-      "rows": 10,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008728-n000004-0000-208c12e4d36a3ee6.parquet",
-      "sha256": "208c12e4d36a3ee68402d9272449a1093e0c0473b46ef3bca4f11716f9aae49c",
-      "bytes": 43321,
-      "rows": 3,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008729.lean\",\"b991446616a5b95be1dba5a67f30c7095b8a685b0e324b85f8d99ac2f7306835\",2,\"distribution_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008730.lean\",\"8e2b2c0f30c627710f510f5df13ea175ff3b55cfc4492d7bace7112353bbc963\",0,\"lean_workbook_plus_15145\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008731.lean\",\"d5024ae848a9bb6cead37516b7f6a0dd9a96d723737c04c970167bda461a9282\",0,\"lean_workbook_plus_81253\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130316,
+      "path": "data/train/pff/oproofs-s00002-r00008728-n000004-0000-68f0a3bff2cf3593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "68f0a3bff2cf35931fcb27c01361a67c04c5c2c5e6f604dc9f31a18626b9019f"
+    },
+    {
+      "bytes": 43321,
+      "path": "data/dev/pff/oproofs-s00002-r00008728-n000004-0000-208c12e4d36a3ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "208c12e4d36a3ee68402d9272449a1093e0c0473b46ef3bca4f11716f9aae49c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008732-n000004.json b/manifests/batches/oproofs/s00002-r00008732-n000004.json
index e0b5f5001f3526824a9e57e9f03274733e7afb3c..319f59e466ebbf58cb8c4c39aca5b730a209a645 100644
--- a/manifests/batches/oproofs/s00002-r00008732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008732-n000004",
   "batch_fingerprint": "b9d240e50919e1d2a297b5a10bb9e8ab38a475ff66ad427d6e140ee9a8ee01cd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008732-n000004-0000-7d13c8ee0677a4b7.parquet",
-      "sha256": "7d13c8ee0677a4b748e79cb6b92f9293f95b311f1dbc2b262f8efa180545dba4",
-      "bytes": 77991,
-      "rows": 11,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008733.lean\",\"9e200a9f3fe66e4330224b9de13a27b4a1dfd10f8df9ea36d06ec6479a04ea8c\",0,\"lean_workbook_plus_21578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008734.lean\",\"b02dee6f3e0143e692e6de7a444caaa1fae137f71b8eef05e0ea2c5ae24ecfc5\",0,\"lean_workbook_plus_74408\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008735.lean\",\"83260974547ec02ff52a2215a39861b7e8eae22c0f97cec91d56ff7dce4ec431\",0,\"lean_workbook_plus_35564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77991,
+      "path": "data/train/p05/oproofs-s00002-r00008732-n000004-0000-7d13c8ee0677a4b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7d13c8ee0677a4b748e79cb6b92f9293f95b311f1dbc2b262f8efa180545dba4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008736-n000004.json b/manifests/batches/oproofs/s00002-r00008736-n000004.json
index b1414067dfe3ca9b0f5648377bbbc3be0ee68305..53069ae990281e97efcb7c3e775d74861776e157 100644
--- a/manifests/batches/oproofs/s00002-r00008736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008736-n000004",
   "batch_fingerprint": "91175352308189740f22f7ab39d95412998e357a745206cadfddd38809fb3087",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008736-n000004-0000-8ae6c4cda572f781.parquet",
-      "sha256": "8ae6c4cda572f7817cc41364f808c49dde56b5a2435fbff91e1d4e1dbbe5b356",
-      "bytes": 300215,
-      "rows": 13,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008737.lean\",\"50f7eaf3a9fd1c3547ba819b225cf8e87ce14bbd1c988738a028d5a6888e3451\",0,\"lean_workbook_plus_76749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008738.lean\",\"41a2488bc9001fd0d61a720ec1603d6c27f2ad555e96decd00e264a9c233381d\",0,\"lean_workbook_plus_2213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008739.lean\",\"3aac05b0d126ee87e862c8a4460e8241942aa97b532a95a829a0ed914dbdfce7\",0,\"lean_workbook_plus_58220\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300215,
+      "path": "data/train/p97/oproofs-s00002-r00008736-n000004-0000-8ae6c4cda572f781.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8ae6c4cda572f7817cc41364f808c49dde56b5a2435fbff91e1d4e1dbbe5b356"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008740-n000004.json b/manifests/batches/oproofs/s00002-r00008740-n000004.json
index 63d7da52c7b9d37b42e4017ac14c116dfcdd2c58..bc4c2a72d90f2badd5f3793997829c4d197c963f 100644
--- a/manifests/batches/oproofs/s00002-r00008740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008740-n000004",
   "batch_fingerprint": "59a1f605a09b9823592be0634b15e82192a0bf98d9e1fc8cf1691fa0eadaaf26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008740-n000004-0000-41955b9c44867103.parquet",
-      "sha256": "41955b9c448671037cf4ab413ebcf4ef92d511183fdc752ae67649219da546c7",
-      "bytes": 190435,
-      "rows": 18,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008741.lean\",\"c4e17efb61d61ef61afcd92500d10eb157b306d76c1cae31b86c8af6bd3626f5\",0,\"lean_workbook_49459\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008742.lean\",\"fedd21cd8062471a460cb3b60a6a5e7af1eb66fa30b1393658be9cde8cfcd300\",0,\"lean_workbook_plus_10646\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008743.lean\",\"aa84a5d8b9e924fb9018f9247bba8cdfe3ab129b6f0e55202afef42d56962b6b\",0,\"lean_workbook_plus_28340\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190435,
+      "path": "data/train/p73/oproofs-s00002-r00008740-n000004-0000-41955b9c44867103.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "41955b9c448671037cf4ab413ebcf4ef92d511183fdc752ae67649219da546c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008744-n000004.json b/manifests/batches/oproofs/s00002-r00008744-n000004.json
index f3dd662cd59743013b562078bcd2e891c84a93fe..150fd0a6492dc2dbafda595d2acd5949bee4eaad 100644
--- a/manifests/batches/oproofs/s00002-r00008744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008744-n000004",
   "batch_fingerprint": "4d31c0f5b802cdd8d9525d12bc7e56182b085b01d6d51a90c38a19c9770c3aec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008744-n000004-0000-1e86d6f2bed9a179.parquet",
-      "sha256": "1e86d6f2bed9a179977ffdac78828dcb4e16d672771eb7c85a7ef49f79d029b9",
-      "bytes": 306836,
-      "rows": 18,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8745",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008745.lean\",\"d86f7cf80aa1f3acee2f3201bfe1957533d6054bb9ca28aa568e0f7fc73d88f4\",0,\"lean_workbook_22723\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008746.lean\",\"13973bb79f753d325feb5543b1a155a7c019b1b89975fc94e68483b8ce8f4958\",0,\"lean_workbook_plus_37000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008747.lean\",\"fb1548324ffe879e222318c658a45c11357d04ddcfc3f72567f6cb077c37d6b6\",0,\"lean_workbook_plus_29739\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306836,
+      "path": "data/train/pb6/oproofs-s00002-r00008744-n000004-0000-1e86d6f2bed9a179.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1e86d6f2bed9a179977ffdac78828dcb4e16d672771eb7c85a7ef49f79d029b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008748-n000004.json b/manifests/batches/oproofs/s00002-r00008748-n000004.json
index 86c9562f34f5f572b2801f98b7737c5c4338edc1..74ab3d7315a3ca31e4d2a935fef1175df01be6c7 100644
--- a/manifests/batches/oproofs/s00002-r00008748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008748-n000004",
   "batch_fingerprint": "6685eed58b088bbd7702881f89b9d5f1202db9ec9afdc3856973e48508056d75",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008748-n000004-0000-72e38e34011824b5.parquet",
-      "sha256": "72e38e34011824b56e5f11fc9c281f33b1cc54833dfce4b878a68f5afd4f1115",
-      "bytes": 81154,
-      "rows": 11,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008748-n000004-0000-7f2f1918a1227f02.parquet",
-      "sha256": "7f2f1918a1227f029c98f90db5816e97333d2131b43d317fc258ee38291d3a5a",
-      "bytes": 99243,
-      "rows": 7,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008749.lean\",\"eed42d76e5136599c7dfd26962e28cd58c02059c63457c886ed92936159ba4b1\",0,\"lean_workbook_39368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008750.lean\",\"7e67aab668be1409c810f7c32e9be6d79c5c1d902a744f3d91183a711bb5e533\",0,\"pure_imaginary_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008751.lean\",\"8ae69ac977d138366272ea3c7ea018721f6b06030e80d5eb0d445b76bdb439fd\",0,\"lean_workbook_plus_71966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81154,
+      "path": "data/train/pb9/oproofs-s00002-r00008748-n000004-0000-72e38e34011824b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "72e38e34011824b56e5f11fc9c281f33b1cc54833dfce4b878a68f5afd4f1115"
+    },
+    {
+      "bytes": 99243,
+      "path": "data/internal_test/pb9/oproofs-s00002-r00008748-n000004-0000-7f2f1918a1227f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7f2f1918a1227f029c98f90db5816e97333d2131b43d317fc258ee38291d3a5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008752-n000004.json b/manifests/batches/oproofs/s00002-r00008752-n000004.json
index b0f7441c57454b7a21d452788d385ac9658745c7..f4a2ea59e48140bfeee8f6435ce2c3bb0b04e72b 100644
--- a/manifests/batches/oproofs/s00002-r00008752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008752-n000004",
   "batch_fingerprint": "1e9f2ee263479213702c4a455d03628ae902880cf2008f376c86915b62717588",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008752-n000004-0000-54283a07870a2ee6.parquet",
-      "sha256": "54283a07870a2ee654b4e7348a7cc8f74e138458160a4613a8cd66d2e38905ee",
-      "bytes": 103868,
-      "rows": 15,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008752-n000004-0000-66b8aacd313791f4.parquet",
-      "sha256": "66b8aacd313791f496a98bb8708f4514c602b56a1732b9686314b5fbf89804fa",
-      "bytes": 77179,
-      "rows": 7,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008753.lean\",\"a60cf4fdca00becc148d4b4cb658b7037e75783d57e86601370d70189107a2a2\",0,\"lean_workbook_plus_50170\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008754.lean\",\"53d541ef458a1c5fb2603a127e8a23f1ad0c34f8625d5275a9d3b3d101e7ebe5\",0,\"lean_workbook_plus_51564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008755.lean\",\"bdfc94ecccd5a53ec8920e9ed8ffa42ded07c21da5bbd35781f07a1bbce68acb\",0,\"lean_workbook_plus_67173\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103868,
+      "path": "data/train/p5f/oproofs-s00002-r00008752-n000004-0000-54283a07870a2ee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "54283a07870a2ee654b4e7348a7cc8f74e138458160a4613a8cd66d2e38905ee"
+    },
+    {
+      "bytes": 77179,
+      "path": "data/dev/p5f/oproofs-s00002-r00008752-n000004-0000-66b8aacd313791f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "66b8aacd313791f496a98bb8708f4514c602b56a1732b9686314b5fbf89804fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008756-n000004.json b/manifests/batches/oproofs/s00002-r00008756-n000004.json
index 54bd51c961360dfacba9c6966fd260d623e344d1..0761c8cf6bc65ee2b79547a88ca500db402b7033 100644
--- a/manifests/batches/oproofs/s00002-r00008756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008756-n000004",
   "batch_fingerprint": "42443ce9102b865445c8c52c7034654a24f280ffafb2b1b05964699712462736",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008756-n000004-0000-d02d7507c4f0fd02.parquet",
-      "sha256": "d02d7507c4f0fd02788057c22dcb9c0f7f4bfe523b2472a1eeb0696a849bde54",
-      "bytes": 220499,
-      "rows": 22,
-      "revision": "44d9663baa6376e8c94c974e8f83a3b4c19ce695"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008757.lean\",\"45cfb3f3dadb63a7414daa9251143d04eb4fa4206d5ba662e96dc74e25bab2e9\",0,\"lean_workbook_16063\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008758.lean\",\"ce08f379cddf89ee9843a73b0279b4057d11d13dd9ac3b80d7189e8931efe27a\",0,\"lean_workbook_32299\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008759.lean\",\"e801a3c44a2d7b382d334a12f15963c3e7287b937addc2015382ac5ad3a498c2\",0,\"lean_workbook_plus_1014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220499,
+      "path": "data/train/pb9/oproofs-s00002-r00008756-n000004-0000-d02d7507c4f0fd02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "d02d7507c4f0fd02788057c22dcb9c0f7f4bfe523b2472a1eeb0696a849bde54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008760-n000004.json b/manifests/batches/oproofs/s00002-r00008760-n000004.json
index 497437945593fc5658329e7288b342d3ce8c1fd4..66c0929584e8881620c93eafaf6b041cd98aa2fd 100644
--- a/manifests/batches/oproofs/s00002-r00008760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008760-n000004",
   "batch_fingerprint": "4ebddb5b48c12c6e48ff83c4ce0f4cf79194b38e00925ab0e4d3c94c65c8d9a0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008760-n000004-0000-972d209a1e06a73e.parquet",
-      "sha256": "972d209a1e06a73e877f64132df933b57ff597e9c09f5bf93febfe8fd9a35ea4",
-      "bytes": 288997,
-      "rows": 16,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008761.lean\",\"6cd9e4357ffca08d39aef12455348423e0389f4e35e8522114cce42ce550c780\",0,\"lean_workbook_plus_47537\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008762.lean\",\"1fb63879b60acc906cf041c6ad7ffe9210d1e8de8ddc33dac10dd19976210533\",0,\"lean_workbook_plus_45797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008763.lean\",\"2ac3d307feecfca94f1792763976b9d44af98560f7b81bd1135b74b3a0bea8ac\",0,\"lean_workbook_plus_58024\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288997,
+      "path": "data/train/pad/oproofs-s00002-r00008760-n000004-0000-972d209a1e06a73e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "972d209a1e06a73e877f64132df933b57ff597e9c09f5bf93febfe8fd9a35ea4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008764-n000004.json b/manifests/batches/oproofs/s00002-r00008764-n000004.json
index f4bbc87d2d9813a86a7c7f3d2b65c56157c3e01c..91834d63fb4a330c05f4bf1a950a9acf3aa97204 100644
--- a/manifests/batches/oproofs/s00002-r00008764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008764-n000004",
   "batch_fingerprint": "e0e177a6c7c93de3394b52722eb0cf9adf7e771368ca48a67dd69ce7c77ebd61",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008764-n000004-0000-a33e037ea22216cf.parquet",
-      "sha256": "a33e037ea22216cf7125fd43ab10cc98b84d4577a5a7d866615841abd9d916e3",
-      "bytes": 109412,
-      "rows": 13,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008765.lean\",\"b0482ec2fd920ae9cd8364728bfb86b2a19f0271db4da8e139d9178218c6b4c4\",0,\"lean_workbook_19113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008766.lean\",\"081762dec9a14eba5d2250a865df15bb566e04111dcf47180892b97fd1c2ddbb\",0,\"lean_workbook_21161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008767.lean\",\"831272d26e0512e8edb4f2645e1b0ea95ce5e90a5d12880e0b5ef9e36e3dcb19\",0,\"lean_workbook_plus_67650\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109412,
+      "path": "data/train/pb8/oproofs-s00002-r00008764-n000004-0000-a33e037ea22216cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a33e037ea22216cf7125fd43ab10cc98b84d4577a5a7d866615841abd9d916e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008768-n000004.json b/manifests/batches/oproofs/s00002-r00008768-n000004.json
index cc8a342197a13ea94f73a0e8cfd9cabbcb07189c..773c32f6142280775ff0daf3a91283d1566cdff3 100644
--- a/manifests/batches/oproofs/s00002-r00008768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008768-n000004",
   "batch_fingerprint": "2028fb6e146964112daee7c45634c513815a4c223cef634b1f46bb6077594da5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008768-n000004-0000-09c7f3cf14f2ce69.parquet",
-      "sha256": "09c7f3cf14f2ce69d34d3e1dd20bcc74dfc4850f538ff6060c5bca4cfe1aaf82",
-      "bytes": 298885,
-      "rows": 12,
-      "revision": "44d9663baa6376e8c94c974e8f83a3b4c19ce695"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008768-n000004-0000-00ae222f2841f973.parquet",
-      "sha256": "00ae222f2841f97354910d7ce19338ad616dbfbb3594b6212eb1c6e4f28ca7d0",
-      "bytes": 117245,
-      "rows": 5,
-      "revision": "44d9663baa6376e8c94c974e8f83a3b4c19ce695"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8769",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008769.lean\",\"cf8e19fdcd56fc429b6550810ca53d340054d4f111313be65a93d269e49c78a4\",0,\"lean_workbook_14641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008770.lean\",\"e850b6ef8988eb7d146ba131cd939aed4ddf497122ff358a012ab77cef75a37c\",0,\"lean_workbook_plus_46334\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008771.lean\",\"2f2be1cc840d376972633d660acbf6b5d7f824638ed7c87654f767c2549b3cac\",0,\"lean_workbook_37277\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298885,
+      "path": "data/train/pea/oproofs-s00002-r00008768-n000004-0000-09c7f3cf14f2ce69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "09c7f3cf14f2ce69d34d3e1dd20bcc74dfc4850f538ff6060c5bca4cfe1aaf82"
+    },
+    {
+      "bytes": 117245,
+      "path": "data/dev/pea/oproofs-s00002-r00008768-n000004-0000-00ae222f2841f973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "00ae222f2841f97354910d7ce19338ad616dbfbb3594b6212eb1c6e4f28ca7d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008772-n000004.json b/manifests/batches/oproofs/s00002-r00008772-n000004.json
index bfbd93cb8fab3e4c87da13e9fada1d83eed8106c..d9a2f5bc0f584bbb1b7088449e3035f154532fd2 100644
--- a/manifests/batches/oproofs/s00002-r00008772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008772-n000004",
   "batch_fingerprint": "2b92171a968d6ddf96cc66d508079a63d19200fd4da49d257c77556346d51c8e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008772-n000004-0000-2f2cbab69425ae22.parquet",
-      "sha256": "2f2cbab69425ae222ca31e85020c6c6c9c6498ce30845936a05f8f12c7eb5fed",
-      "bytes": 210521,
-      "rows": 9,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008772-n000004-0000-5481a7962926bbca.parquet",
-      "sha256": "5481a7962926bbca4f8233bfdb4463111c503a265d6284907c1fc2a02329afe7",
-      "bytes": 135239,
-      "rows": 6,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8773",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008773.lean\",\"6725712ebe7a503854a201318907d926cf2913f51d1bf87fc83c7476c6df99f6\",0,\"divisible_k_plus_two_by_303\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008774.lean\",\"b25357affe4168c9e84fc392a8afeda14d14c98136bfc6ef3701281e59990252\",0,\"lean_workbook_30033\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008775.lean\",\"41061a4f249a431d64b0f65f730c3be1f3f86e61c78c11bbaa562c9925bf0f51\",0,\"lean_workbook_plus_67733\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210521,
+      "path": "data/train/p47/oproofs-s00002-r00008772-n000004-0000-2f2cbab69425ae22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2f2cbab69425ae222ca31e85020c6c6c9c6498ce30845936a05f8f12c7eb5fed"
+    },
+    {
+      "bytes": 135239,
+      "path": "data/internal_test/p47/oproofs-s00002-r00008772-n000004-0000-5481a7962926bbca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5481a7962926bbca4f8233bfdb4463111c503a265d6284907c1fc2a02329afe7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008776-n000004.json b/manifests/batches/oproofs/s00002-r00008776-n000004.json
index 48a054eeb1306c6c8513ad9cd05d05641f729783..eebee16b644f3cd2d7860f68f1f31e967e563a20 100644
--- a/manifests/batches/oproofs/s00002-r00008776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008776-n000004",
   "batch_fingerprint": "82be3e104dcfd59f5618234bf85bf54b42287fd3e741652356d92f41c5863184",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008776-n000004-0000-2fc5d0e8d86dcad7.parquet",
-      "sha256": "2fc5d0e8d86dcad791cab702f3a8c02716669a40fc2c34ac2ff82bc072544f1b",
-      "bytes": 92588,
-      "rows": 9,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008776-n000004-0000-4484c04aa1018fea.parquet",
-      "sha256": "4484c04aa1018feafc6b10c11fc62cd499a7bbda3906a8539f9cc32085e0f458",
-      "bytes": 90492,
-      "rows": 3,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008777.lean\",\"92a26efcdec4a6a512771700dbc37573d9fa594c65e31699325e727e91bb36c7\",0,\"lean_workbook_plus_36242\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008778.lean\",\"94e281f050cd595e5cadc584c8f3def8c5063687c8da0f6ef9ffc173d2634765\",0,\"complement_intersection_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008779.lean\",\"861345e36a588797bd7aedfaec9572d2c32f9f3118ce6b5da613a6abbaa7590e\",0,\"lean_workbook_plus_42428\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92588,
+      "path": "data/train/pf8/oproofs-s00002-r00008776-n000004-0000-2fc5d0e8d86dcad7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2fc5d0e8d86dcad791cab702f3a8c02716669a40fc2c34ac2ff82bc072544f1b"
+    },
+    {
+      "bytes": 90492,
+      "path": "data/dev/pf8/oproofs-s00002-r00008776-n000004-0000-4484c04aa1018fea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4484c04aa1018feafc6b10c11fc62cd499a7bbda3906a8539f9cc32085e0f458"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008780-n000004.json b/manifests/batches/oproofs/s00002-r00008780-n000004.json
index 980beb3074680fb2a0bba96b2000d0d2e00a3c8e..381426abbf82b0f2db0000d9828d78e18e5c98fe 100644
--- a/manifests/batches/oproofs/s00002-r00008780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008780-n000004",
   "batch_fingerprint": "4f7d726e8457298103128e08caa7820d8e47a5b5816699b4b5218cbf882e4622",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8780",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8781",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8782",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8783"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008780.lean\",\"af8d3399c987e0b4107ceb391a2ab1fe73f87cca75c1ced665eab531d623f27d\",0,\"lean_workbook_plus_23473\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008781.lean\",\"8c6eb003042a0b358e2700cbaf15d9c725bfe2546f5998e698ed79751e227306\",0,\"lean_workbook_51406\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008782.lean\",\"d16f83551169131e79e62feb8e2864db54cfabfd1276241cb2602f45f6082f3d\",0,\"lean_workbook_plus_63695\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008783.lean\",\"cc31722775f3a61e350ec0239fe687a15955ab21b653addc43658b5c485c844f\",0,\"lean_workbook_plus_60343\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008780-n000004-0000-f9ee0cb09c9d9a43.parquet",
-      "sha256": "f9ee0cb09c9d9a436074f3745be7fc761553f66ed765091d39416961d0b5402d",
       "bytes": 137126,
+      "path": "data/train/p7a/oproofs-s00002-r00008780-n000004-0000-f9ee0cb09c9d9a43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
+      "sha256": "f9ee0cb09c9d9a436074f3745be7fc761553f66ed765091d39416961d0b5402d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008780-n000004-0000-b0b99172653ae1f3.parquet",
-      "sha256": "b0b99172653ae1f3964b18fd688225d902d67e5fef9b294b340d02a7daeff7e5",
       "bytes": 64709,
+      "path": "data/dev/p7a/oproofs-s00002-r00008780-n000004-0000-b0b99172653ae1f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
+      "sha256": "b0b99172653ae1f3964b18fd688225d902d67e5fef9b294b340d02a7daeff7e5"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008780-n000004-0000-aaf39ffe04978af1.parquet",
-      "sha256": "aaf39ffe04978af185a4cd93401aece9b3a8a4bd1f339e0d3176e3486f03b8bb",
       "bytes": 309651,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00008780-n000004-0000-aaf39ffe04978af1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
+      "sha256": "aaf39ffe04978af185a4cd93401aece9b3a8a4bd1f339e0d3176e3486f03b8bb"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8780",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8781",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8782",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8783"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008780.lean\",\"af8d3399c987e0b4107ceb391a2ab1fe73f87cca75c1ced665eab531d623f27d\",0,\"lean_workbook_plus_23473\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008781.lean\",\"8c6eb003042a0b358e2700cbaf15d9c725bfe2546f5998e698ed79751e227306\",0,\"lean_workbook_51406\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008782.lean\",\"d16f83551169131e79e62feb8e2864db54cfabfd1276241cb2602f45f6082f3d\",0,\"lean_workbook_plus_63695\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008783.lean\",\"cc31722775f3a61e350ec0239fe687a15955ab21b653addc43658b5c485c844f\",0,\"lean_workbook_plus_60343\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008784-n000004.json b/manifests/batches/oproofs/s00002-r00008784-n000004.json
index 4654ba60a96e57c490421de64993dfb634579838..04c3a11b2d3f65003d4773483ff99c8967e372ba 100644
--- a/manifests/batches/oproofs/s00002-r00008784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008784-n000004",
   "batch_fingerprint": "5b74179e0f08b65f876f495bf6268d139e872653a8604ef5e70c475606d6a562",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008784-n000004-0000-9cfd36aa8f5aba39.parquet",
-      "sha256": "9cfd36aa8f5aba3999682ca695f41ebec80e0ba1c9cf8c3ab26f7ddc9b62dc1a",
-      "bytes": 335762,
-      "rows": 29,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008785.lean\",\"cc1dac188bd894b21d3d580637bb1474f874b9c9df8ec7fd86b50e18cf22474d\",0,\"lean_workbook_plus_45015\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008786.lean\",\"975177d2c2147e279f45e313b4778e0002ac57945ea10d17a0d225df39804cd0\",0,\"lean_workbook_plus_68674\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008787.lean\",\"4270d21a3a2b7e7ba6b0e3596364935411aa8c3ceea9e2b8658f6539e1b9156f\",0,\"lean_workbook_plus_51988\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335762,
+      "path": "data/train/p3d/oproofs-s00002-r00008784-n000004-0000-9cfd36aa8f5aba39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9cfd36aa8f5aba3999682ca695f41ebec80e0ba1c9cf8c3ab26f7ddc9b62dc1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008788-n000004.json b/manifests/batches/oproofs/s00002-r00008788-n000004.json
index 347e14690107d7f59af9af698cba4559462c03b2..a99c26a09c4302f2e097e4f5ece101b804af5cd7 100644
--- a/manifests/batches/oproofs/s00002-r00008788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008788-n000004",
   "batch_fingerprint": "a7bae4e8790d5389de4d0de924a84940fd998c41580da8d0f00d9cd6df962635",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008788-n000004-0000-3ac33009f18e81da.parquet",
-      "sha256": "3ac33009f18e81da819e7e6d03ada6385e22dc27bc9c9276d4680205551c7e9b",
-      "bytes": 225871,
-      "rows": 11,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008788-n000004-0000-778ba4ae47c3b5f5.parquet",
-      "sha256": "778ba4ae47c3b5f5d4f1d872cfd0294e58dfb2bbafa57e7ccb8686a8941a7e72",
-      "bytes": 40222,
-      "rows": 3,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8789",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008789.lean\",\"37de61e47eb638106ea2e92fe31c1b169d9804e6e4dda5bb793eebeabfe530df\",0,\"lean_workbook_plus_43522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008790.lean\",\"2910ae1728b9d68721f59dba8e1bd09a139d9265d1ec9b619bd9ca47558819bc\",0,\"lean_workbook_plus_27252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008791.lean\",\"715b79c9dc4478f893602499b1f30edfeeb01a3020e5f706c9da7e827c9af7a6\",2,\"distribution_count\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225871,
+      "path": "data/train/p6d/oproofs-s00002-r00008788-n000004-0000-3ac33009f18e81da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3ac33009f18e81da819e7e6d03ada6385e22dc27bc9c9276d4680205551c7e9b"
+    },
+    {
+      "bytes": 40222,
+      "path": "data/dev/p6d/oproofs-s00002-r00008788-n000004-0000-778ba4ae47c3b5f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "778ba4ae47c3b5f5d4f1d872cfd0294e58dfb2bbafa57e7ccb8686a8941a7e72"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008792-n000004.json b/manifests/batches/oproofs/s00002-r00008792-n000004.json
index 2491c963bae0844538f0ae3d3b28b30b51db5970..f26a792db48af0f1f8993df388a9799e0fef7232 100644
--- a/manifests/batches/oproofs/s00002-r00008792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008792-n000004",
   "batch_fingerprint": "c6d0e03abf3ab1d2ecec36c80df303664f649a5f08c642e99330bb31af2fcf78",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008792-n000004-0000-5fc8b701bef8f304.parquet",
-      "sha256": "5fc8b701bef8f3040ef092a8b9a30b6920935634bd14663bd47da86d4da4d736",
-      "bytes": 206999,
-      "rows": 18,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008793.lean\",\"3cf534ebe6754fecb56382659ae0b232273ad9ec1e85a712a1b95e1b2e81a154\",0,\"lean_workbook_plus_15145\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008794.lean\",\"d64fa89297c79888823ccb8e3db7e9b8c835004fec9312da7e22da6ff67a7c8a\",0,\"lean_workbook_plus_21578\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008795.lean\",\"68601801658e2f3ff5bb1afd6ecfdf35c7219f9c2d915f95533e6f2f6acda4e5\",0,\"lean_workbook_plus_74408\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206999,
+      "path": "data/train/p8b/oproofs-s00002-r00008792-n000004-0000-5fc8b701bef8f304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5fc8b701bef8f3040ef092a8b9a30b6920935634bd14663bd47da86d4da4d736"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008796-n000004.json b/manifests/batches/oproofs/s00002-r00008796-n000004.json
index 9c265fb30df7d9ca5a3ffef2c99c9dc547d47f28..80db6bb5c1d764b0c3c568b93ff644e187ed9d7e 100644
--- a/manifests/batches/oproofs/s00002-r00008796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008796-n000004",
   "batch_fingerprint": "ba88308351c949593098aa316232190c9a793df8f1bb97c2a14fbed7dfd9971f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008796-n000004-0000-8a047485a1767c8f.parquet",
-      "sha256": "8a047485a1767c8f7eefd66796019f969daae00067727294ed4f920e6adc4c27",
-      "bytes": 846554,
-      "rows": 21,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008797.lean\",\"f10cc6a9713811cf8d0cd54c6b22d051496eb79fc26001dbf2d596fc8add23e1\",0,\"lean_workbook_36122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008798.lean\",\"f378f3d81baa9a7ee6f2ef40f51a076423ff78d9670df19f25eca5158ef5d8c2\",0,\"lean_workbook_plus_18953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008799.lean\",\"3defda68f3b4c43c8e94128753ae09f72e4d69417f672d61c75c4ae4526e3e4b\",0,\"lean_workbook_16785\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 846554,
+      "path": "data/train/p05/oproofs-s00002-r00008796-n000004-0000-8a047485a1767c8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8a047485a1767c8f7eefd66796019f969daae00067727294ed4f920e6adc4c27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008800-n000004.json b/manifests/batches/oproofs/s00002-r00008800-n000004.json
index dec47d6b158f45ba15a25f1ad6506f7d133bc0b8..4c707966c2a2ad646962f04f113f8b65228320d1 100644
--- a/manifests/batches/oproofs/s00002-r00008800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008800-n000004",
   "batch_fingerprint": "a72870bb2e1f00888c7502a563bd97a5016340957ebdcdb80341d9472713044e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008800-n000004-0000-c74842aee4f02db4.parquet",
-      "sha256": "c74842aee4f02db42c705c7e309053705271e01a2d356ff827f6585d7791e6f2",
-      "bytes": 181699,
-      "rows": 11,
-      "revision": "44d9663baa6376e8c94c974e8f83a3b4c19ce695"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008800-n000004-0000-549582600729ea08.parquet",
-      "sha256": "549582600729ea08ff792b99bbc46b74814bfa36d71e1f18c08a74cbfaea2947",
-      "bytes": 681294,
-      "rows": 9,
-      "revision": "44d9663baa6376e8c94c974e8f83a3b4c19ce695"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008801.lean\",\"8ca913501995898b8aec55e37e8450d4e33d32275d1b04238df5f9135edb14ac\",0,\"lean_workbook_plus_58220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008802.lean\",\"ba5c04a995fc74e856259694a0126556d8845f51c83337c90612914d939c3497\",0,\"lean_workbook_43227\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008803.lean\",\"7491c6ad750d990c4593d1e48215e8c0bb266c9bef0290df922147b21781c029\",0,\"lean_workbook_plus_76749\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181699,
+      "path": "data/train/pfd/oproofs-s00002-r00008800-n000004-0000-c74842aee4f02db4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c74842aee4f02db42c705c7e309053705271e01a2d356ff827f6585d7791e6f2"
+    },
+    {
+      "bytes": 681294,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00008800-n000004-0000-549582600729ea08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "549582600729ea08ff792b99bbc46b74814bfa36d71e1f18c08a74cbfaea2947"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008804-n000004.json b/manifests/batches/oproofs/s00002-r00008804-n000004.json
index 53da5d7577bfaa3c8a4eaaf80b10da57d1d09757..01b3ecaff654feb6d7351654585c1ca2e5d6355f 100644
--- a/manifests/batches/oproofs/s00002-r00008804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008804-n000004",
   "batch_fingerprint": "c1570140650fe232bb7400c0008211f4a3fca82c8948a2912c81dd3ab2d788b7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008804-n000004-0000-fc1c52af67de482d.parquet",
-      "sha256": "fc1c52af67de482de9d7ef9c9dcbaf60b230050e988b3614ab43899c8897eecb",
-      "bytes": 168183,
-      "rows": 18,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8805",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008805.lean\",\"1d01ed12df74f1976aeafa77f7e721d1cc113718e2413af8573bcc217dc5206b\",0,\"lean_workbook_plus_10646\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008806.lean\",\"8157a409ccb9ad0d0f0acb48c62bc22344100a8f0dd9b904d5fcb3efc8a4c898\",0,\"lean_workbook_plus_28340\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008807.lean\",\"6b0aea6345b2a617aa9b2088f1e15d5764f9817ee6b4d2152d6780b40118880d\",0,\"lean_workbook_22723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 168183,
+      "path": "data/train/pb7/oproofs-s00002-r00008804-n000004-0000-fc1c52af67de482d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fc1c52af67de482de9d7ef9c9dcbaf60b230050e988b3614ab43899c8897eecb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008808-n000004.json b/manifests/batches/oproofs/s00002-r00008808-n000004.json
index dcd3e5ba1dbe543bdb072af26342de9a6b12f5f3..d5e6199bfada55d6209e094050fc29b4f1ea370f 100644
--- a/manifests/batches/oproofs/s00002-r00008808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008808-n000004",
   "batch_fingerprint": "64a47426715913058d62544f07bca3f13ce9eba2e69a797b4e09c9687caeae96",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008808-n000004-0000-7aa92696b37c056f.parquet",
-      "sha256": "7aa92696b37c056f727f8ed56edb433da8747029feb3767d44954e531479311e",
-      "bytes": 124275,
-      "rows": 7,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008808-n000004-0000-38dc4d32c4d565f6.parquet",
-      "sha256": "38dc4d32c4d565f69a36396a5cde10669ef9db827917c34b12990e66fe7e4a34",
-      "bytes": 86945,
-      "rows": 11,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008809.lean\",\"b2afee01943f1a920a65ad077b7aa9d43e3af7c22642a52d3524627c04c1821e\",0,\"lean_workbook_plus_42585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008810.lean\",\"61b8d0aaa89e266a2391ba556db1e857616ddc8c26a19e91b45b5644a0cab5f5\",0,\"lean_workbook_39368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008811.lean\",\"851448365ebf3b98596fbdf413560bac97a251ee2e0d5b329439dd429237f9e3\",0,\"pure_imaginary_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124275,
+      "path": "data/train/p35/oproofs-s00002-r00008808-n000004-0000-7aa92696b37c056f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7aa92696b37c056f727f8ed56edb433da8747029feb3767d44954e531479311e"
+    },
+    {
+      "bytes": 86945,
+      "path": "data/internal_test/p35/oproofs-s00002-r00008808-n000004-0000-38dc4d32c4d565f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "38dc4d32c4d565f69a36396a5cde10669ef9db827917c34b12990e66fe7e4a34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008812-n000004.json b/manifests/batches/oproofs/s00002-r00008812-n000004.json
index a4bf7eb110cfbc68ff73ee028a301f8ed19977d2..eeab5df6cb080e24c4f88f3a3499d343a2cfa02e 100644
--- a/manifests/batches/oproofs/s00002-r00008812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008812-n000004",
   "batch_fingerprint": "53cbcb3fd902b37e2dbeca53359e58e6e9056ad7b3fde10fc1e2dc1fec557d13",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008812-n000004-0000-ba62540bd8a45c62.parquet",
-      "sha256": "ba62540bd8a45c625bc883729aa654f6a54f87d1bb87d8ea78481a1f54a019c5",
-      "bytes": 123099,
-      "rows": 15,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008813.lean\",\"bbaf9ed856553a35d744bf95ff27c8b166cd798047850cd0c27c045b430baebb\",0,\"lean_workbook_plus_51564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008814.lean\",\"b1a58e7938f7adf1cd252e9cbbfa182259cdd93a6242b3dcf5cea7899902707e\",0,\"lean_workbook_plus_16552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008815.lean\",\"24aebfeb5d7a89113ad62ea38a81a2bcab3f2b52c06c6e2a905f64748a5da9dc\",0,\"lean_workbook_16063\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123099,
+      "path": "data/train/p1b/oproofs-s00002-r00008812-n000004-0000-ba62540bd8a45c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ba62540bd8a45c625bc883729aa654f6a54f87d1bb87d8ea78481a1f54a019c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008816-n000004.json b/manifests/batches/oproofs/s00002-r00008816-n000004.json
index b6d227def68124041db2578838a9dc285a84d0ea..e3f01dd0bdd32754f14f7d94e8bd24edddbddb87 100644
--- a/manifests/batches/oproofs/s00002-r00008816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008816-n000004",
   "batch_fingerprint": "cf6f90fef73541004ee523deebb198a62538ae20095724964c23cb2752312d9f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008816-n000004-0000-50aa7d21f8147d66.parquet",
-      "sha256": "50aa7d21f8147d666c08027d9a12658a284babdb1c4b4f5db598289dd09eda36",
-      "bytes": 295293,
-      "rows": 21,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008817.lean\",\"5b904a2ec6e221c9bdf6131bb351cd651e92986ea614c8736ebd9ceff52dec21\",0,\"lean_workbook_11009\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008818.lean\",\"1d4ff6bdf4ffc9af1b5b4d1ae5678d6ca0705e6defd6554defa438b17c0cbbe7\",0,\"lean_workbook_plus_53556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008819.lean\",\"a25360cb481265ec12c25103767f528a646ebb90c5b8b8d0ae5b1ae9ac9f0726\",0,\"lean_workbook_plus_47537\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295293,
+      "path": "data/train/pfc/oproofs-s00002-r00008816-n000004-0000-50aa7d21f8147d66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "50aa7d21f8147d666c08027d9a12658a284babdb1c4b4f5db598289dd09eda36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008820-n000004.json b/manifests/batches/oproofs/s00002-r00008820-n000004.json
index d5bcecb4c11acc7255a4f1ec59a8946680d025c0..49f64928a0c168e3b1b608475ebb4a45d42909fb 100644
--- a/manifests/batches/oproofs/s00002-r00008820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008820-n000004",
   "batch_fingerprint": "20cc4f8f627aa8aad479eda9b1ba31a8e0d4ef69b4737212039d578eede03456",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008820-n000004-0000-11c14344f360a70d.parquet",
-      "sha256": "11c14344f360a70d521e386befa9ce601ae8413e5901201c1dffce87d692d19b",
-      "bytes": 135816,
-      "rows": 20,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008821.lean\",\"50d63301b74971ed65c6dfc78e059e536f4bcf621765644bc316fa4334c81d0e\",0,\"lean_workbook_plus_36189\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008822.lean\",\"f6726580ce5f9a1cbf2b0f0dd4bfe2c5454e2f1f7203c5379a13ea831224c0e7\",0,\"lean_workbook_50125\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008823.lean\",\"f00d9467043523e429045f3a97b3741f5e9d558079c7873a1652f77cf0a1c453\",0,\"lean_workbook_plus_50170\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135816,
+      "path": "data/train/p6c/oproofs-s00002-r00008820-n000004-0000-11c14344f360a70d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "11c14344f360a70d521e386befa9ce601ae8413e5901201c1dffce87d692d19b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008824-n000004.json b/manifests/batches/oproofs/s00002-r00008824-n000004.json
index eafa8df3cd80918dcb12097b9770172304bfff98..1f74db17ef6e01b4dad032ff515daae14f5ffbdf 100644
--- a/manifests/batches/oproofs/s00002-r00008824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008824-n000004",
   "batch_fingerprint": "32fa16a75ceee15eaabd368104d222c0678210d1afc4531e2d90a54426cf5d1b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008824-n000004-0000-2e8b1063b9ed0ebf.parquet",
-      "sha256": "2e8b1063b9ed0ebf0c9aafd45ae215473ed9b847418d649b2d1c8557a663d938",
-      "bytes": 163262,
-      "rows": 15,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8825",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008825.lean\",\"99e9357a35906a1b9f7e02d7e54baa6e87c24f6465d055302530823ef252702e\",0,\"lean_workbook_plus_58024\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008826.lean\",\"4a7177fdc3d9275468c94c60fe3d5d7c6e2946c27f5b9c3ce32d1ee57275bc32\",0,\"lean_workbook_19113\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008827.lean\",\"c6743e5259792204277f0b1471d876935ba1b13b11f4cb26acb8a1b5c44fd7db\",0,\"lean_workbook_plus_72815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163262,
+      "path": "data/train/p4d/oproofs-s00002-r00008824-n000004-0000-2e8b1063b9ed0ebf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2e8b1063b9ed0ebf0c9aafd45ae215473ed9b847418d649b2d1c8557a663d938"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008828-n000004.json b/manifests/batches/oproofs/s00002-r00008828-n000004.json
index d54a744f2a7878728e427033857cf935bb75c060..12c097c164f85895233110fbb8121536b8d06f18 100644
--- a/manifests/batches/oproofs/s00002-r00008828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008828-n000004",
   "batch_fingerprint": "5da21ddd3b49742d88a9e301d143279d237d3fb1a7f4f4f4de3489c07d49311c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008828-n000004-0000-c2f29d4bf4d8fc20.parquet",
-      "sha256": "c2f29d4bf4d8fc20e432d456abe5dbdd8f8f2ca88711b6673518aa85ec809329",
-      "bytes": 430499,
-      "rows": 29,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008828-n000004-0000-9db80fb601da8257.parquet",
-      "sha256": "9db80fb601da8257fdbdec2cd8bd1d83728c7dcd1d6447b723723727470f9629",
-      "bytes": 169591,
-      "rows": 4,
-      "revision": "66b00525db633f070545fb893cf0552bd6c89c60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008829.lean\",\"582276aeb5c8b7ce8713a991680a7986cf493ce8d1477aaef8898ad553ba4e37\",0,\"lean_workbook_plus_67650\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008830.lean\",\"88db76ff828136e47e92a88051000c7b9ee6289c0f0939a0cd8f6a2cb315d9ec\",0,\"lean_workbook_plus_34601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008831.lean\",\"cc57d123f04412346968c6d300e782333dae69a80c509db2a5e4852e5be087fc\",0,\"lean_workbook_plus_27014\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 430499,
+      "path": "data/train/p9a/oproofs-s00002-r00008828-n000004-0000-c2f29d4bf4d8fc20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "c2f29d4bf4d8fc20e432d456abe5dbdd8f8f2ca88711b6673518aa85ec809329"
+    },
+    {
+      "bytes": 169591,
+      "path": "data/internal_test/p9a/oproofs-s00002-r00008828-n000004-0000-9db80fb601da8257.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9db80fb601da8257fdbdec2cd8bd1d83728c7dcd1d6447b723723727470f9629"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008832-n000004.json b/manifests/batches/oproofs/s00002-r00008832-n000004.json
index 73e5580556060cf72d73fefd471920e565438a86..b3f6110ffa29fe3b50f3c84e41a9346450132659 100644
--- a/manifests/batches/oproofs/s00002-r00008832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008832-n000004",
   "batch_fingerprint": "977a2e4b7a06f65e4b7bec0ac582bd292dd5001aaa609dd1e42e4ca3eafad38b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8832",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8833",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8834",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8835"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008832.lean\",\"1745e3caa1cc482cc41dfc80a8e499d499587597059f66a30fc88ab5fa0ad4fe\",0,\"lean_workbook_14641\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008833.lean\",\"9603d1a78235fbd888110076d2a9f978c27bdb8d1415a2ae65d9a361d42c7c0a\",0,\"lean_workbook_plus_74234\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008834.lean\",\"65fd7e82b42deacb22ce322127fa22d8c19be5ad36c057d756b09fadf7e61bd7\",0,\"lean_workbook_plus_46334\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008835.lean\",\"c033c757cd4f4af6a09bcc3fff66ce77da62bbc7f85979b071d3db42b9b1a2c3\",0,\"lean_workbook_plus_16182\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008832-n000004-0000-5445be5e2664cdee.parquet",
-      "sha256": "5445be5e2664cdeebc25f64c013ad36306464b240f60a03348a640e4b34506f5",
       "bytes": 346823,
+      "path": "data/train/p84/oproofs-s00002-r00008832-n000004-0000-5445be5e2664cdee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "5445be5e2664cdeebc25f64c013ad36306464b240f60a03348a640e4b34506f5"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008832-n000004-0000-a78f87f191d92298.parquet",
-      "sha256": "a78f87f191d922987827f88f32c83d5a2be3a19ceeb81acb16b48d4135070b06",
       "bytes": 109192,
+      "path": "data/dev/p84/oproofs-s00002-r00008832-n000004-0000-a78f87f191d92298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "a78f87f191d922987827f88f32c83d5a2be3a19ceeb81acb16b48d4135070b06"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008832-n000004-0000-a91ff9119166bf92.parquet",
-      "sha256": "a91ff9119166bf92448d3c3025e60099f7b532a431d7c81e5f1df46c1f77b1c1",
       "bytes": 157713,
+      "path": "data/internal_test/p84/oproofs-s00002-r00008832-n000004-0000-a91ff9119166bf92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "a91ff9119166bf92448d3c3025e60099f7b532a431d7c81e5f1df46c1f77b1c1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8832",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8833",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8834",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8835"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008832.lean\",\"1745e3caa1cc482cc41dfc80a8e499d499587597059f66a30fc88ab5fa0ad4fe\",0,\"lean_workbook_14641\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008833.lean\",\"9603d1a78235fbd888110076d2a9f978c27bdb8d1415a2ae65d9a361d42c7c0a\",0,\"lean_workbook_plus_74234\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008834.lean\",\"65fd7e82b42deacb22ce322127fa22d8c19be5ad36c057d756b09fadf7e61bd7\",0,\"lean_workbook_plus_46334\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008835.lean\",\"c033c757cd4f4af6a09bcc3fff66ce77da62bbc7f85979b071d3db42b9b1a2c3\",0,\"lean_workbook_plus_16182\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008836-n000004.json b/manifests/batches/oproofs/s00002-r00008836-n000004.json
index dc85f02d8d1e08b8ef6be652633e015e968fa9f1..bd7a42d8cf44f42efa94fbd992f84052157d672d 100644
--- a/manifests/batches/oproofs/s00002-r00008836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008836-n000004",
   "batch_fingerprint": "ef1930b6d398c4864b17975effb9b8be780aa722f917f6d36e54f23d9ab9252a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008836-n000004-0000-33a06ae63a86d2dd.parquet",
-      "sha256": "33a06ae63a86d2dd6730f5cab9416da37c645500055f3023709279d047a2e45c",
-      "bytes": 302681,
-      "rows": 25,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008836-n000004-0000-6e3aa825413c4ce3.parquet",
-      "sha256": "6e3aa825413c4ce3d2a58ea0d93abeeedfa5a189940b452c480cf2760fe19140",
-      "bytes": 165931,
-      "rows": 8,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008837.lean\",\"a805555b68ad1c8f72b842a6bc75ef850b6bd03d4a4107811e524e53bfb176d6\",0,\"lean_workbook_29256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008838.lean\",\"e23db1de25d57f1e8028dfcabd5c69db2188c75b071d7035e5b304b56ef0cddd\",0,\"lean_workbook_plus_67733\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008839.lean\",\"ae031f43925547870b7599f5844d1ea457316b058210972681d5083c2894d755\",0,\"lean_workbook_30033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302681,
+      "path": "data/train/p35/oproofs-s00002-r00008836-n000004-0000-33a06ae63a86d2dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "33a06ae63a86d2dd6730f5cab9416da37c645500055f3023709279d047a2e45c"
+    },
+    {
+      "bytes": 165931,
+      "path": "data/internal_test/p35/oproofs-s00002-r00008836-n000004-0000-6e3aa825413c4ce3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6e3aa825413c4ce3d2a58ea0d93abeeedfa5a189940b452c480cf2760fe19140"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008840-n000004.json b/manifests/batches/oproofs/s00002-r00008840-n000004.json
index 2986b5f87481143633c4cca81be6fcad0418cae0..a7223ca15136d641e429e86c5d2382c04c5dff12 100644
--- a/manifests/batches/oproofs/s00002-r00008840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008840-n000004",
   "batch_fingerprint": "64667148dbc6735c80466afe457ac5b6097c6d307a671a82cc77e8a6cd18352a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008840-n000004-0000-b7044ad794ac4a40.parquet",
-      "sha256": "b7044ad794ac4a4082344f2291d91dbe57aec311964156ed72410f6c575585f9",
-      "bytes": 843523,
-      "rows": 16,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008841.lean\",\"e26fce7655664beb130d1a8dc234c93b6bded749e9cbbd91117ada16e64bb08c\",0,\"lean_workbook_plus_66268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008842.lean\",\"45d8a1810b170e2fec4a0efa0af90e8738018cda42f581a120cd0f0deea79494\",0,\"lean_workbook_plus_24218\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008843.lean\",\"2de7c681f7ac14a3ad4d3ac7343e1e67a22f4d7eb7e336d259cb5fade4ddeffe\",0,\"lean_workbook_plus_23473\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 843523,
+      "path": "data/train/pec/oproofs-s00002-r00008840-n000004-0000-b7044ad794ac4a40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b7044ad794ac4a4082344f2291d91dbe57aec311964156ed72410f6c575585f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008844-n000004.json b/manifests/batches/oproofs/s00002-r00008844-n000004.json
index 8564a56bda7128754b51cae46404dad6b1206146..74471cf35b9bc0e30bb56ef787f862226fd580c5 100644
--- a/manifests/batches/oproofs/s00002-r00008844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008844-n000004",
   "batch_fingerprint": "d8727b1ca4b9c24736d2f267e7f06f032251dd4bcf1fe08375041d2e36895a57",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008844-n000004-0000-44fd41f35c654f15.parquet",
-      "sha256": "44fd41f35c654f15e291450a8100e83fe3a98451a918bd2715a56af500e14fb9",
-      "bytes": 98737,
-      "rows": 12,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008844-n000004-0000-908b53f4616116d5.parquet",
-      "sha256": "908b53f4616116d55d2d4ada7e61a572bb3d5b54a591e716c99d4ebcd94e8131",
-      "bytes": 67170,
-      "rows": 8,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008845.lean\",\"b157377ee67df74d3edf267bba6170611480d55cbf0b0de6f10eee2b164c4784\",0,\"lean_workbook_plus_37103\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008846.lean\",\"e2d1988412e19b137d865455a89c5e76b895de901271f6db7432d3cbbc7bfddc\",0,\"lean_workbook_plus_45015\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008847.lean\",\"60d34bd633286a2eedccab0232888ca82b84a6bfcd5fd56c9b1d9057e7985c75\",0,\"lean_workbook_plus_34239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98737,
+      "path": "data/train/p87/oproofs-s00002-r00008844-n000004-0000-44fd41f35c654f15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "44fd41f35c654f15e291450a8100e83fe3a98451a918bd2715a56af500e14fb9"
+    },
+    {
+      "bytes": 67170,
+      "path": "data/dev/p87/oproofs-s00002-r00008844-n000004-0000-908b53f4616116d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "908b53f4616116d55d2d4ada7e61a572bb3d5b54a591e716c99d4ebcd94e8131"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008848-n000004.json b/manifests/batches/oproofs/s00002-r00008848-n000004.json
index d743aaf646fc0fa04cb15e5a61a0a5895b9421a7..fa6e77d833bad49aee2ed6242c8dfaa46f1fce9e 100644
--- a/manifests/batches/oproofs/s00002-r00008848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008848-n000004",
   "batch_fingerprint": "35e5dddcf714ee43fe4bb83710da4e155bab84a0f037a43db3a8f9ac62be5016",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008848-n000004-0000-53911e71444ba91e.parquet",
-      "sha256": "53911e71444ba91e15c192ea7f5f2ac6804735c0576c8040e68f834ee3ee5ee6",
-      "bytes": 273252,
-      "rows": 23,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008849.lean\",\"4c8c457f2ed59d9024547e8f572351d5a1fcc094b4672dd88cde8844df9c6393\",0,\"lean_workbook_plus_23424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008850.lean\",\"21c0b74d3beece1ba667bc112ada9863c85db0804a38b48b9a6b33da1f65831e\",0,\"lean_workbook_44741\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008851.lean\",\"8364e27c24ddaa6b7a5d2d0dd54ac56c4d7d6c3ea00c610fd28c06355b3e0318\",0,\"lean_workbook_plus_68674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273252,
+      "path": "data/train/pa8/oproofs-s00002-r00008848-n000004-0000-53911e71444ba91e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "53911e71444ba91e15c192ea7f5f2ac6804735c0576c8040e68f834ee3ee5ee6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008852-n000004.json b/manifests/batches/oproofs/s00002-r00008852-n000004.json
index 37991fdcb297acb5700ceaffdd83e6fb2a03a8b9..99b1678b4046155e687e8c7a9595ae553b2c8347 100644
--- a/manifests/batches/oproofs/s00002-r00008852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008852-n000004",
   "batch_fingerprint": "2668e498a6cfcb8ad96c4e0b2ffa7efbc38d4dc2e920742fc76ad4448acea487",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008852-n000004-0000-d9259ff52fd2bb5e.parquet",
-      "sha256": "d9259ff52fd2bb5e125405b3a0eb7820fb5a84015137b1b1580b4399cb6ae3ce",
-      "bytes": 404928,
-      "rows": 14,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008852-n000004-0000-4a4a1f14e85a7861.parquet",
-      "sha256": "4a4a1f14e85a7861f5f49c240904d51dc0104aa81e4a0ee25d68584538265f8f",
-      "bytes": 396735,
-      "rows": 7,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008853.lean\",\"cdda5fbb7a34429d8b3f1ce23453b00b644c207bcd69cf968fd31899b0e564a7\",0,\"lean_workbook_plus_60343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008854.lean\",\"ac54649c81bdf45f2a8e4562bcd019293471160fa4d4395365110cbc532e1da1\",0,\"lean_workbook_plus_66488\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008855.lean\",\"d939d0932a43280776866141f9f25ccd2ec2fd733e9645178bbe8825f66716a6\",0,\"lean_workbook_plus_43522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404928,
+      "path": "data/train/p75/oproofs-s00002-r00008852-n000004-0000-d9259ff52fd2bb5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d9259ff52fd2bb5e125405b3a0eb7820fb5a84015137b1b1580b4399cb6ae3ce"
+    },
+    {
+      "bytes": 396735,
+      "path": "data/internal_test/p75/oproofs-s00002-r00008852-n000004-0000-4a4a1f14e85a7861.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4a4a1f14e85a7861f5f49c240904d51dc0104aa81e4a0ee25d68584538265f8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008856-n000004.json b/manifests/batches/oproofs/s00002-r00008856-n000004.json
index 9b6225b86d71946d6d5bb760412eca3fffada5a3..b8617d2a12549035a34833fba0dcbe4ec6a836ba 100644
--- a/manifests/batches/oproofs/s00002-r00008856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008856-n000004",
   "batch_fingerprint": "be83d2c9965bc4d87826cad6b79a1f93a21678551b54d10b1cc4569ecf0a86bd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008856-n000004-0000-03bbee24b06a3b49.parquet",
-      "sha256": "03bbee24b06a3b49783eddf649b17141ac8f707de91d40a28d042188a1cdcc87",
-      "bytes": 127793,
-      "rows": 14,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008856-n000004-0000-c93f7f1e5bbebee2.parquet",
-      "sha256": "c93f7f1e5bbebee275a62126f4c583fc40aac0577371285de2682d4f5bbe864c",
-      "bytes": 40763,
-      "rows": 3,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8857",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008857.lean\",\"d55f7ee8fd109b01ec916cd2e8e36e7ff151a4f2151e99160f76bbc0f3439d18\",2,\"distribution_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008858.lean\",\"ec6558ab483201d761c733a8fc0c5dd0a265295dae6f67199e1ea4344db928a8\",0,\"lean_workbook_plus_15145\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008859.lean\",\"2aac5e95468b50ee3a1b6ffc2cd38178f924f4f9ae614837e02df4e4bfef6522\",0,\"lean_workbook_plus_21578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127793,
+      "path": "data/train/p50/oproofs-s00002-r00008856-n000004-0000-03bbee24b06a3b49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "03bbee24b06a3b49783eddf649b17141ac8f707de91d40a28d042188a1cdcc87"
+    },
+    {
+      "bytes": 40763,
+      "path": "data/dev/p50/oproofs-s00002-r00008856-n000004-0000-c93f7f1e5bbebee2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c93f7f1e5bbebee275a62126f4c583fc40aac0577371285de2682d4f5bbe864c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008860-n000004.json b/manifests/batches/oproofs/s00002-r00008860-n000004.json
index 48c8172756e7f95f8a2b36c9d22b2bbcf60252c0..0c2e8f93819fea73c283ef802600e89b7d9e8d56 100644
--- a/manifests/batches/oproofs/s00002-r00008860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008860-n000004",
   "batch_fingerprint": "f0a1385a16ca697a7440eaacefc26a889cf831686eb7ca1cd22a08ac3897cd83",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008860-n000004-0000-7df92b9e24673e13.parquet",
-      "sha256": "7df92b9e24673e13221bdbd42d47f49386bac12985961188146e18eb907d1190",
-      "bytes": 248030,
-      "rows": 22,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8861",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008861.lean\",\"af2b30fca9567a51855cc5d7d91ce5594a4e8f47647aef3976011017a943dc29\",0,\"lean_workbook_plus_76749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008862.lean\",\"e80839f6621bc3d6169ffc6db833f9645db3907d8cf8c54b6c57ea048d544a53\",0,\"lean_workbook_plus_58220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008863.lean\",\"75e3f24f053f83bd43d0fb6d38f710dae0eed0fd00449765bba4a2bfbe0825ad\",0,\"lean_workbook_plus_10646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248030,
+      "path": "data/train/p23/oproofs-s00002-r00008860-n000004-0000-7df92b9e24673e13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7df92b9e24673e13221bdbd42d47f49386bac12985961188146e18eb907d1190"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008864-n000004.json b/manifests/batches/oproofs/s00002-r00008864-n000004.json
index ef9b05f7a722d543975706f92a3af2f3af6017bb..21d2f58562c4034899115df4d763ff58c682d476 100644
--- a/manifests/batches/oproofs/s00002-r00008864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008864-n000004",
   "batch_fingerprint": "208f126819111809c5f06128774c39cd8928cea3250212cdc6561f2dc386a942",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008864-n000004-0000-5afe8fa06f9b4040.parquet",
-      "sha256": "5afe8fa06f9b404014e8063741661ceb8c17ac20c122912544193e15155303b5",
-      "bytes": 564930,
-      "rows": 14,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00008864-n000004-0001-6a53109f68661681.parquet",
-      "sha256": "6a53109f68661681c989b88ed35aa291d6f66ec1ec98280229f559f4d97666f0",
-      "bytes": 644264,
-      "rows": 7,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008865.lean\",\"65048193ae67eba82ab1383ffcad076d1fa8d46a0f627e6118b0b7476cd28edd\",0,\"lean_workbook_28692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008866.lean\",\"64265b99dd33237dd677c513c66d4df05b93492e20e9b3e33a22eabb417c1656\",0,\"lean_workbook_36122\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008867.lean\",\"d0e111c20f4b0b87f7b9ca08fc0c74ff6e83a224177c90872b710a65c7b5668a\",0,\"lean_workbook_plus_2213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 564930,
+      "path": "data/train/p92/oproofs-s00002-r00008864-n000004-0000-5afe8fa06f9b4040.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "5afe8fa06f9b404014e8063741661ceb8c17ac20c122912544193e15155303b5"
+    },
+    {
+      "bytes": 644264,
+      "path": "data/train/p92/oproofs-s00002-r00008864-n000004-0001-6a53109f68661681.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6a53109f68661681c989b88ed35aa291d6f66ec1ec98280229f559f4d97666f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008868-n000004.json b/manifests/batches/oproofs/s00002-r00008868-n000004.json
index e42ea1a2d9d1d638d26df9b4016070a338264e0a..04ae6c2db92abd0ff0aae334ac263d33a71227fd 100644
--- a/manifests/batches/oproofs/s00002-r00008868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008868-n000004",
   "batch_fingerprint": "ff777caf1926a8b79b58bf3da66364adeec819b7e32a97d4d879325f9a744838",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008868-n000004-0000-b2f01d760bef9130.parquet",
-      "sha256": "b2f01d760bef91304d34ee9f4be5d0cb70d758fd79d76621e3d695cb1509785c",
-      "bytes": 208545,
-      "rows": 14,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008869.lean\",\"214837ec5730ab2ddc8ef27fbfe3c1bd38dc2d9efe1ac435816fd2cadfe8eef0\",0,\"lean_workbook_22723\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008870.lean\",\"832171c7ea8bc38d697941c22226963ba119bf2ce160a3073b063e9969741bc9\",0,\"lean_workbook_plus_37000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008871.lean\",\"30b87cad1f500c33e8b58699fa93f8748c933cb8503118da975675e9c91c815a\",0,\"lean_workbook_plus_57626\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208545,
+      "path": "data/train/p8f/oproofs-s00002-r00008868-n000004-0000-b2f01d760bef9130.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b2f01d760bef91304d34ee9f4be5d0cb70d758fd79d76621e3d695cb1509785c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008872-n000004.json b/manifests/batches/oproofs/s00002-r00008872-n000004.json
index 0785421d2a8342ba850a89b507f93d7210b87709..59cf85a541f55cc86336d5cb726ed62a9d05db5a 100644
--- a/manifests/batches/oproofs/s00002-r00008872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008872-n000004",
   "batch_fingerprint": "611c152f273d9798adf5b9bbfbf7f904d80efcd32e24f041b0f4ca5f074a67c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008872-n000004-0000-cdb4a0f96a2dfe14.parquet",
-      "sha256": "cdb4a0f96a2dfe1473d6d8891d69c4d368892a8c23c95e4f4e29b671db9417fe",
-      "bytes": 43960,
-      "rows": 4,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008872-n000004-0000-3eba47311ea80149.parquet",
-      "sha256": "3eba47311ea80149cdf988744636f52f5a6670aec9d7f3b258bd91209c35ec48",
-      "bytes": 695929,
-      "rows": 13,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008873.lean\",\"067a655835c40841b3e01273e6e9e17527ad34ec605c19625e5e766aaa7dc561\",0,\"lean_workbook_plus_67173\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008874.lean\",\"70346ba0d94b5ffcbe655485e7968a5b480ac80e2f7a9c72415ed8c71e530861\",0,\"lean_workbook_39368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008875.lean\",\"6653b145bd016269ffcc527c107de3a47b3481a75f80d73fa81daa1a251950fb\",0,\"lean_workbook_plus_71966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 43960,
+      "path": "data/train/pb1/oproofs-s00002-r00008872-n000004-0000-cdb4a0f96a2dfe14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cdb4a0f96a2dfe1473d6d8891d69c4d368892a8c23c95e4f4e29b671db9417fe"
+    },
+    {
+      "bytes": 695929,
+      "path": "data/internal_test/pb1/oproofs-s00002-r00008872-n000004-0000-3eba47311ea80149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3eba47311ea80149cdf988744636f52f5a6670aec9d7f3b258bd91209c35ec48"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008876-n000004.json b/manifests/batches/oproofs/s00002-r00008876-n000004.json
index f8bcfbfe49cbb165315bafa269a8e62e364d2b79..f08fd43ba98cc2c3e220235935249552fcf96db3 100644
--- a/manifests/batches/oproofs/s00002-r00008876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008876-n000004",
   "batch_fingerprint": "c28863422f884521f9eabb6b674aa204487cc1c8c723ce1e3d0a731431cde5ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008876-n000004-0000-36861267de258b72.parquet",
-      "sha256": "36861267de258b72ab2830c70cdd77a0fd73179112c68b5b7539607cf018d573",
-      "bytes": 98467,
-      "rows": 15,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8877",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008877.lean\",\"595f97ec7e36207e922e562101eb5a53cb0acda66ad15f3c2976b7caf6fdc060\",0,\"lean_workbook_47255\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008878.lean\",\"957fb91a0c69d3b8f7d5e7615e3bb98eb0faee55ffa0c7a4a48f99d56ca9f755\",0,\"lean_workbook_16063\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008879.lean\",\"1377b856da680bbfe1c333fd6fd246cdf1f28a85f9318b9a7b77e083be2e291b\",0,\"lean_workbook_plus_16552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98467,
+      "path": "data/train/pd9/oproofs-s00002-r00008876-n000004-0000-36861267de258b72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "36861267de258b72ab2830c70cdd77a0fd73179112c68b5b7539607cf018d573"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008880-n000004.json b/manifests/batches/oproofs/s00002-r00008880-n000004.json
index a56d026e4a9dcd5455df90d4e93b5767614519d0..ee43f74050a694c9d6bd9dacd9813342a562ba29 100644
--- a/manifests/batches/oproofs/s00002-r00008880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008880-n000004",
   "batch_fingerprint": "06ead9f61fe9329f4a3895ff001c717e7e9ba4f9c141d027a0682deb7fcb7c6b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008880-n000004-0000-d2f3a5362fd5b69b.parquet",
-      "sha256": "d2f3a5362fd5b69b6d2b930abbef74b6cee14559b05bb7770f457b7765bc8199",
-      "bytes": 110487,
-      "rows": 11,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008880-n000004-0000-db61f4f599e4a360.parquet",
-      "sha256": "db61f4f599e4a3601e9f3ed5c26f1fbb20ea06755282d2fb89c9c1eb4abf3c3e",
-      "bytes": 124144,
-      "rows": 7,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008881.lean\",\"5c5ad8cef2919f877795787fcbf4f488cf7eb414b7387c409c4321608a33e391\",0,\"lean_workbook_plus_29187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008882.lean\",\"b1ba91fae6582159c33b31c7f134b66b0ed9a2ffea09eb572e9489454d630c40\",0,\"lean_workbook_50125\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008883.lean\",\"a56cb3dad8842801de8d26652bdcb9e4010ce84720c791685ec12234e1c1e76a\",0,\"lean_workbook_plus_53556\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110487,
+      "path": "data/train/p14/oproofs-s00002-r00008880-n000004-0000-d2f3a5362fd5b69b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d2f3a5362fd5b69b6d2b930abbef74b6cee14559b05bb7770f457b7765bc8199"
+    },
+    {
+      "bytes": 124144,
+      "path": "data/dev/p14/oproofs-s00002-r00008880-n000004-0000-db61f4f599e4a360.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "db61f4f599e4a3601e9f3ed5c26f1fbb20ea06755282d2fb89c9c1eb4abf3c3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008884-n000004.json b/manifests/batches/oproofs/s00002-r00008884-n000004.json
index 0038509d8533de882019f392dbe8096611f32074..460eb7a6af6cf5ab369b7cdcf56c85db044a9105 100644
--- a/manifests/batches/oproofs/s00002-r00008884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008884-n000004",
   "batch_fingerprint": "5b56630ad2d27b57c7f9930b8068a8120bccbaf4f2f2492aa94fca83a1ffc7f1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008884-n000004-0000-9464d646fc8d3154.parquet",
-      "sha256": "9464d646fc8d3154161bd67ca9364faf15549a6947e2247c9098fc64514d3c89",
-      "bytes": 188787,
-      "rows": 27,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008885.lean\",\"385d7bb65e8772a7bd4d8deb82549e0695d070aaf7f6a1971ea5d468c66567cf\",0,\"lean_workbook_plus_51564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008886.lean\",\"95a6cb2b2216ec291874afcb8bfa611d5309b719ac9818e26a53f24ead59cb3b\",0,\"lean_workbook_plus_58024\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008887.lean\",\"336a4d8e31e7e689ba4be14cb9df6a6913adab6a6735d0b3df73426c2698b2bd\",0,\"lean_workbook_19113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188787,
+      "path": "data/train/p98/oproofs-s00002-r00008884-n000004-0000-9464d646fc8d3154.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9464d646fc8d3154161bd67ca9364faf15549a6947e2247c9098fc64514d3c89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008888-n000004.json b/manifests/batches/oproofs/s00002-r00008888-n000004.json
index 7c9c250cd14815107faf4a2aefa49924f7ff0c9c..8e0acbe2d2c6e7a503b4960cdfad3abd7147b83c 100644
--- a/manifests/batches/oproofs/s00002-r00008888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008888-n000004",
   "batch_fingerprint": "081a78ae57a0c9c62b9a08c260683e613841263123b628564a437863f3b2996e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008888-n000004-0000-42b849e5fa980095.parquet",
-      "sha256": "42b849e5fa980095832b173e627d7c39d52a063045506aff82a9585b8fd46d02",
-      "bytes": 251827,
-      "rows": 17,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8889",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008889.lean\",\"5c46c7d9abf478e0670dcbcc1232a5276d922ddcd4a52f4556c3fa12eaff947e\",0,\"lean_workbook_plus_72815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008890.lean\",\"c90dfa6b15938bc786dcebafa4c589e0a580efccb01ddd99e49760d390444581\",0,\"lean_workbook_plus_47537\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008891.lean\",\"47f4cb3c036b8f6378e6ca00bf495a69165fe591a8adb81d23f5dfcc932aa52b\",0,\"lean_workbook_plus_45797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251827,
+      "path": "data/train/p42/oproofs-s00002-r00008888-n000004-0000-42b849e5fa980095.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "42b849e5fa980095832b173e627d7c39d52a063045506aff82a9585b8fd46d02"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008892-n000004.json b/manifests/batches/oproofs/s00002-r00008892-n000004.json
index acf2ecd903637912d6fc6a926578147c30bba759..d676903fbc8d9f501fb11b0c30adcfb87376c8b4 100644
--- a/manifests/batches/oproofs/s00002-r00008892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008892-n000004",
   "batch_fingerprint": "b2a3da249f534e85554af44b33d11476f686bdde0724f3bab56ed77aef790672",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008892-n000004-0000-bd46080e3142c59e.parquet",
-      "sha256": "bd46080e3142c59ecd37600bf2576e738d28b782f7d1214c532d88fac715f2fe",
-      "bytes": 112015,
-      "rows": 8,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008892-n000004-0000-240fcdf68b5f9efc.parquet",
-      "sha256": "240fcdf68b5f9efc7cd68683028657c02028714ed936634f50e4996caafe3b71",
-      "bytes": 142484,
-      "rows": 4,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008893.lean\",\"31a86670fdbcc0d7060d020dbef3693eb212baff9c507376bdaeeea6d5b16945\",0,\"lean_workbook_plus_22178\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008894.lean\",\"4b710746d9978f5a4b2ec4cbaddc2d33a65d6ba3bca1e74be5c0912f5e671318\",0,\"lean_workbook_plus_25656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008895.lean\",\"e271e38c4b8fe1f8a8ca0d9738fcbadce919dddcecc64399e966a51287b4b244\",0,\"lean_workbook_plus_34601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112015,
+      "path": "data/train/pe6/oproofs-s00002-r00008892-n000004-0000-bd46080e3142c59e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bd46080e3142c59ecd37600bf2576e738d28b782f7d1214c532d88fac715f2fe"
+    },
+    {
+      "bytes": 142484,
+      "path": "data/internal_test/pe6/oproofs-s00002-r00008892-n000004-0000-240fcdf68b5f9efc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "240fcdf68b5f9efc7cd68683028657c02028714ed936634f50e4996caafe3b71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008896-n000004.json b/manifests/batches/oproofs/s00002-r00008896-n000004.json
index 5cfb8920625f01046c708bd53b62284605c2f6f4..c77dfe957ba6c7b52ccebe61c9fbd6df5e6c8ceb 100644
--- a/manifests/batches/oproofs/s00002-r00008896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008896-n000004",
   "batch_fingerprint": "4894c8ef88f087a3029812ac49286cb4edc3c5f11b540283368a41b498905710",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8896",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8897",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8898",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8899"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008896.lean\",\"c297b93578d2b612db77ad4731a829b8b65217e5879ad2d2a7ea9ec748fd8b78\",0,\"lean_workbook_plus_46334\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008897.lean\",\"cfe9288b9f9fe412fb667f7489d9fad82977ef4d6c9536807cf858a5b5b74799\",0,\"lean_workbook_plus_67733\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008898.lean\",\"b77403727485a7f66cb19eaa410f085b5435d52bb0553f8b9fbe9bd24d37ddd3\",0,\"lean_workbook_29256\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008899.lean\",\"7c60ce90062fd5f8d456ce8c54ca2f1ac7ce4e9393cdf24bdaed243e563f8daa\",0,\"lean_workbook_plus_31368\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008896-n000004-0000-d243015ac89d695c.parquet",
-      "sha256": "d243015ac89d695c1469e5e8e27c1cd755b38ae76ea71e1670bfb0da6907e044",
       "bytes": 122433,
+      "path": "data/train/p1a/oproofs-s00002-r00008896-n000004-0000-d243015ac89d695c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "d243015ac89d695c1469e5e8e27c1cd755b38ae76ea71e1670bfb0da6907e044"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008896-n000004-0000-4ee8683e2088fd25.parquet",
-      "sha256": "4ee8683e2088fd251de95e329c1e76b5c6206bcf4a15f7db1024df7abd262d56",
       "bytes": 103045,
+      "path": "data/dev/p1a/oproofs-s00002-r00008896-n000004-0000-4ee8683e2088fd25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "4ee8683e2088fd251de95e329c1e76b5c6206bcf4a15f7db1024df7abd262d56"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008896-n000004-0000-205e35f170edf44c.parquet",
-      "sha256": "205e35f170edf44cf391da9711a83f7ace2cfb378637a9aca2fb3c81d9c5c423",
       "bytes": 151053,
+      "path": "data/internal_test/p1a/oproofs-s00002-r00008896-n000004-0000-205e35f170edf44c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "205e35f170edf44cf391da9711a83f7ace2cfb378637a9aca2fb3c81d9c5c423"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8896",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8897",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8898",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8899"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008896.lean\",\"c297b93578d2b612db77ad4731a829b8b65217e5879ad2d2a7ea9ec748fd8b78\",0,\"lean_workbook_plus_46334\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008897.lean\",\"cfe9288b9f9fe412fb667f7489d9fad82977ef4d6c9536807cf858a5b5b74799\",0,\"lean_workbook_plus_67733\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008898.lean\",\"b77403727485a7f66cb19eaa410f085b5435d52bb0553f8b9fbe9bd24d37ddd3\",0,\"lean_workbook_29256\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008899.lean\",\"7c60ce90062fd5f8d456ce8c54ca2f1ac7ce4e9393cdf24bdaed243e563f8daa\",0,\"lean_workbook_plus_31368\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008900-n000004.json b/manifests/batches/oproofs/s00002-r00008900-n000004.json
index 5cc51e352fd43eb1f0af5715acab45f16a2318a2..c8759390e265fd10b0e07632a5bdb4e107f4e165 100644
--- a/manifests/batches/oproofs/s00002-r00008900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008900-n000004",
   "batch_fingerprint": "ca4339066c243cc0de30e917997a20ae9e48aa83504581eaa4584c9ff41083a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008900-n000004-0000-39599593a868ec9b.parquet",
-      "sha256": "39599593a868ec9bd9f51809ff5926cc93258391d2fd3ec576d1657ffa082c6d",
-      "bytes": 254504,
-      "rows": 15,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008901.lean\",\"db798ee083e30fa86c8afad2e3817ca6397f522696f3150a6d61f3b1984b9a1f\",0,\"lean_workbook_plus_66065\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008902.lean\",\"97bc74c76229beb54d5f14ad611bb7b992a3f3ab69b1bb2d18405725e82ad3e2\",0,\"lean_workbook_plus_48725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008903.lean\",\"a2b25fe145d058fe3a29a6466be3b9109acd3146b5e80f2b0c9a8c38cbdce9ce\",0,\"matrix_power_times_vector\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254504,
+      "path": "data/train/p6b/oproofs-s00002-r00008900-n000004-0000-39599593a868ec9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "39599593a868ec9bd9f51809ff5926cc93258391d2fd3ec576d1657ffa082c6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008904-n000004.json b/manifests/batches/oproofs/s00002-r00008904-n000004.json
index 9a0c324ee57ff60c448e34b12eeb89e6cb92a33e..c550aeed2cee6ecf47e97f2b44e5171d4b5ac226 100644
--- a/manifests/batches/oproofs/s00002-r00008904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008904-n000004",
   "batch_fingerprint": "98a90eb779523c0fc40c2f2e28d25d339df16d8ca58e5381a9a51b0cb24d0775",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008904-n000004-0000-2363456de5980aea.parquet",
-      "sha256": "2363456de5980aea60644aac133674f725ac22e7267218a106f6bfd64357a5e0",
-      "bytes": 250879,
-      "rows": 18,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008904-n000004-0000-efa4b7b53d1ca8e0.parquet",
-      "sha256": "efa4b7b53d1ca8e05626a4b05ab2159f7260ae7af581d5886095271bf93da20b",
-      "bytes": 704647,
-      "rows": 12,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008905.lean\",\"951014a4a411f1184dcd5b8a0a93e78c0520d073c2021cebb91dac6078abbfd0\",0,\"lean_workbook_plus_72232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008906.lean\",\"b51a9808ff0b64c2bf05af9debe78c899fb8a97d117fa6509ae99f504c87463e\",0,\"lean_workbook_plus_61551\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008907.lean\",\"ee6f821627d4bfd679ea82403cc2d71461f6f7c7490405d1b88bea3e8ae856a6\",0,\"lean_workbook_plus_37103\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250879,
+      "path": "data/train/p20/oproofs-s00002-r00008904-n000004-0000-2363456de5980aea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2363456de5980aea60644aac133674f725ac22e7267218a106f6bfd64357a5e0"
+    },
+    {
+      "bytes": 704647,
+      "path": "data/internal_test/p20/oproofs-s00002-r00008904-n000004-0000-efa4b7b53d1ca8e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "efa4b7b53d1ca8e05626a4b05ab2159f7260ae7af581d5886095271bf93da20b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008908-n000004.json b/manifests/batches/oproofs/s00002-r00008908-n000004.json
index 86be6a04ae7bed9472a19c28ab0b246b3c738d0e..536358d4f17fc9f0ac739c22a2f252924ff64792 100644
--- a/manifests/batches/oproofs/s00002-r00008908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008908-n000004",
   "batch_fingerprint": "3ef68f203289d0a034c05e627872d34ed44004849cfc97a5687cb551d04ee58c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008908-n000004-0000-1c8b3d5ae1659275.parquet",
-      "sha256": "1c8b3d5ae1659275f9f1a85eda1a4df89d107e0236582b6083487bac74a13474",
-      "bytes": 309021,
-      "rows": 28,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008909.lean\",\"5e620bdeba4f19fd325abe1925b5f7bd4cbadb5a83b7885e0ca8fc6dcd2779c1\",0,\"lean_workbook_plus_34239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008910.lean\",\"0b78d0525062810a4f037047511e0efa4bae56bcc6c848c02bc46bee88388f6a\",0,\"lean_workbook_plus_23424\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008911.lean\",\"8dd33dd7edca969632b87ee8869571e63931f57df369c20fe4730d9fdf08b976\",0,\"lean_workbook_30033\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309021,
+      "path": "data/train/pcc/oproofs-s00002-r00008908-n000004-0000-1c8b3d5ae1659275.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1c8b3d5ae1659275f9f1a85eda1a4df89d107e0236582b6083487bac74a13474"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008912-n000004.json b/manifests/batches/oproofs/s00002-r00008912-n000004.json
index 69435ce642985cb2442e470ae533bc3e10cfbd01..bb8863e3baa7b7809cb41b3867fbc4ab84cec1e0 100644
--- a/manifests/batches/oproofs/s00002-r00008912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008912-n000004",
   "batch_fingerprint": "776676fd017dac886fecf9e9bdc6a279c9b1ca5e36125e70ec88a1274b09bf5a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008912-n000004-0000-40260c964bc82523.parquet",
-      "sha256": "40260c964bc82523d3b6227fe44c5f59d06ac62ae2e3a9346b52b34ce3591238",
-      "bytes": 348565,
-      "rows": 25,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008913.lean\",\"db8631d21bfa9308901338e268bd27b57012b915885106d6aaf58f47d525345f\",0,\"lean_workbook_plus_51988\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008914.lean\",\"1ee8fde50e7548ea0fb9bce7b6f7a97c1eb12d4f274c22740b20cda99131a2fb\",0,\"lean_workbook_plus_68674\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008915.lean\",\"38ea26815bdb0510ff82237112996110562265ebc6fb123ebb0914514783e28a\",0,\"lean_workbook_plus_43522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348565,
+      "path": "data/train/p16/oproofs-s00002-r00008912-n000004-0000-40260c964bc82523.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "40260c964bc82523d3b6227fe44c5f59d06ac62ae2e3a9346b52b34ce3591238"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008916-n000004.json b/manifests/batches/oproofs/s00002-r00008916-n000004.json
index 71af8b0fd00c4299833786f6f3b46e5766faca3e..6741591b73fcbd2e5e0a0c9f433b24abd4702c6a 100644
--- a/manifests/batches/oproofs/s00002-r00008916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008916-n000004",
   "batch_fingerprint": "5c990074ed6808a04836d9cd3188f027f3a42619ae7b19464f7bcfbfbaf6af63",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008916-n000004-0000-38d5b9d187bf15f4.parquet",
-      "sha256": "38d5b9d187bf15f40a33d955ebfd81dbb45de25134d5a7df797c1074a1db967b",
-      "bytes": 79080,
-      "rows": 13,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008916-n000004-0000-162a201c98f6979b.parquet",
-      "sha256": "162a201c98f6979be8f050ac30b73a4fce4c10815e8c5ec209ceadceb60d8be8",
-      "bytes": 38420,
-      "rows": 3,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008917.lean\",\"6c4002961b8c078d9f3f02515dde55abb3b08993ea9bb172c50c4e3691a4a5ab\",0,\"lean_workbook_plus_27252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008918.lean\",\"ff2e84512181bfb7a0cf6abaf53f5b100e7cf25b866badee858a0e71cc87ec5f\",0,\"lean_workbook_plus_24378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008919.lean\",\"2984d84f27a001a1cc953330a1b23440c5424eaafa490c3c04b3c4baceb6d6dc\",0,\"lean_workbook_plus_21578\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79080,
+      "path": "data/train/p8c/oproofs-s00002-r00008916-n000004-0000-38d5b9d187bf15f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "38d5b9d187bf15f40a33d955ebfd81dbb45de25134d5a7df797c1074a1db967b"
+    },
+    {
+      "bytes": 38420,
+      "path": "data/dev/p8c/oproofs-s00002-r00008916-n000004-0000-162a201c98f6979b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "162a201c98f6979be8f050ac30b73a4fce4c10815e8c5ec209ceadceb60d8be8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008920-n000004.json b/manifests/batches/oproofs/s00002-r00008920-n000004.json
index bd4894220ad51ccb76c8f37d6cbfa048b3650c9e..066aff1fcc810c9e861b551c44cd3e3e282c56ce 100644
--- a/manifests/batches/oproofs/s00002-r00008920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008920-n000004",
   "batch_fingerprint": "be2f26aeffad2fad2b1838d8152635a4677d6a1b717362f4134863032670a93d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008920-n000004-0000-11c2eabcebd69c05.parquet",
-      "sha256": "11c2eabcebd69c056ae27fd52d94cf01d2f6e2f31e0a942c74ec3edfbe5ef4fd",
-      "bytes": 77373,
-      "rows": 12,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008920-n000004-0000-62cf4047364d06b8.parquet",
-      "sha256": "62cf4047364d06b87cbaaa3e145664908abdad7c1337d937adabe6596b49da3a",
-      "bytes": 440148,
-      "rows": 10,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008921.lean\",\"4c57f0d11f68d0e1626c5cca6e5d5d0b5e4f3364292d63bec4d12c7b2418f48d\",0,\"lean_workbook_plus_35564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008922.lean\",\"965a84071daf0c2e3e3d07c259eb5bb491b836f60513eeb524c5b1d2a0237c1a\",0,\"lean_workbook_plus_18953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008923.lean\",\"64904600749b83248b66a5199d16901a5c6a3ec2c1b4751f526e6029e07b4de3\",0,\"lean_workbook_plus_76749\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77373,
+      "path": "data/train/p9d/oproofs-s00002-r00008920-n000004-0000-11c2eabcebd69c05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "11c2eabcebd69c056ae27fd52d94cf01d2f6e2f31e0a942c74ec3edfbe5ef4fd"
+    },
+    {
+      "bytes": 440148,
+      "path": "data/internal_test/p9d/oproofs-s00002-r00008920-n000004-0000-62cf4047364d06b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "62cf4047364d06b87cbaaa3e145664908abdad7c1337d937adabe6596b49da3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008924-n000004.json b/manifests/batches/oproofs/s00002-r00008924-n000004.json
index c71ed2ceb739db57e5f980d97a36f565947bd522..8103d347fae5e597e8ff87b1590a11c69195c550 100644
--- a/manifests/batches/oproofs/s00002-r00008924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008924-n000004",
   "batch_fingerprint": "f3fcfdf8e7221f41feabb8ce08fd1a0fdaf5774d0151953d13d8450e00d64737",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008924-n000004-0000-c4f247975c2571c2.parquet",
-      "sha256": "c4f247975c2571c276d0db665796c8e45d4849f028c44f3f7c1c74b8f50a4e5d",
-      "bytes": 174417,
-      "rows": 18,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008925.lean\",\"c8fa2eb6a9662dc2f532abb92a7c1c904bc9e4cc06d539cc963a64336bcea011\",0,\"lean_workbook_plus_28340\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008926.lean\",\"0968dd6ec1ccd7ef04d75458c9340e0b5b578e1bce858a4936d34fa09ab43d63\",0,\"lean_workbook_49459\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008927.lean\",\"38fb26c7427ae961e633efbb9577c3ca703b862b527176e14148f2ee31f4223b\",0,\"lean_workbook_22723\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174417,
+      "path": "data/train/p9f/oproofs-s00002-r00008924-n000004-0000-c4f247975c2571c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c4f247975c2571c276d0db665796c8e45d4849f028c44f3f7c1c74b8f50a4e5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008928-n000004.json b/manifests/batches/oproofs/s00002-r00008928-n000004.json
index 022463f12196b0ce1cdce88cf73eec42fa42894b..962feee8de8b5baded20ead667fbf5da4a494733 100644
--- a/manifests/batches/oproofs/s00002-r00008928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008928-n000004",
   "batch_fingerprint": "08c974696528f19010b88ea631e3547b9218aff396982e74f63a67b7e35bed4c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008928-n000004-0000-b5821f1fe715e730.parquet",
-      "sha256": "b5821f1fe715e7306a14ff2d674efdd88c9abf7f2c3bc5e866c99a26ecdc057d",
-      "bytes": 333033,
-      "rows": 24,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008929.lean\",\"ac02c8e85ae18305ae2361d64e898d263d26f020ac869d2ff793e07d6595bc77\",0,\"lean_workbook_plus_57626\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008930.lean\",\"555ee284decde7dab2c7c91be470f6d7084fb33f74563813ba73c3b4a03c2564\",0,\"lean_workbook_plus_37000\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008931.lean\",\"e69e92f318adcf1ac69f0251ad127655e38424015ddc803dcec21ce27051bba1\",0,\"lean_workbook_plus_82559\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 333033,
+      "path": "data/train/p26/oproofs-s00002-r00008928-n000004-0000-b5821f1fe715e730.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "b5821f1fe715e7306a14ff2d674efdd88c9abf7f2c3bc5e866c99a26ecdc057d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008932-n000004.json b/manifests/batches/oproofs/s00002-r00008932-n000004.json
index 4965322912b784d9a18aa0afa1cf47a86ed3f9f8..ad6178e759f4a76fa143554a1490968722fe817e 100644
--- a/manifests/batches/oproofs/s00002-r00008932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008932-n000004",
   "batch_fingerprint": "bc5899ca92ca992571356bf7bfafe1e1db990c6177833bb3be911ddeaf5534bc",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8932",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8933",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8934",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8935"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008932.lean\",\"c5289d753d4b66619be9e9bdf523147b4bea2208660ee86c92e1e0cc3e392245\",0,\"lean_workbook_plus_71831\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008933.lean\",\"3d560ee72eea4405a48c970b3d993359e8b7d0b4362f612b49e7067c9f4523bf\",0,\"lean_workbook_plus_42585\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008934.lean\",\"46d996096887cf5251d0cf62fa8d2b6f82c6748ea6a3febbed3b5121bad11e37\",0,\"lean_workbook_36122\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008935.lean\",\"c4e09a13921e9d2781786ad03a44f9b9f55ef5c4b25a39716ab9d4eb07ef61e3\",0,\"lean_workbook_plus_20158\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008932-n000004-0000-10e7c5f84ff610c4.parquet",
-      "sha256": "10e7c5f84ff610c4d64dea03ab05f02367222be37a4d79e1d1cdc089136bec59",
       "bytes": 459255,
+      "path": "data/train/p45/oproofs-s00002-r00008932-n000004-0000-10e7c5f84ff610c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
+      "sha256": "10e7c5f84ff610c4d64dea03ab05f02367222be37a4d79e1d1cdc089136bec59"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008932-n000004-0000-871c748ac224c24b.parquet",
-      "sha256": "871c748ac224c24b5c24551cb5f5a540de917aa2d888b78b5790ea3a3b281d39",
       "bytes": 497903,
+      "path": "data/dev/p45/oproofs-s00002-r00008932-n000004-0000-871c748ac224c24b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
+      "sha256": "871c748ac224c24b5c24551cb5f5a540de917aa2d888b78b5790ea3a3b281d39"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008932-n000004-0000-2928d59a239adb6b.parquet",
-      "sha256": "2928d59a239adb6be28bd4bb200df75aeaa905ea82a01844a70aeaae3c2ddaff",
       "bytes": 92782,
+      "path": "data/internal_test/p45/oproofs-s00002-r00008932-n000004-0000-2928d59a239adb6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "37386c5354e7286094d206b25477f4b240f8f19b"
+      "sha256": "2928d59a239adb6be28bd4bb200df75aeaa905ea82a01844a70aeaae3c2ddaff"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8932",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8933",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8934",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8935"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008932.lean\",\"c5289d753d4b66619be9e9bdf523147b4bea2208660ee86c92e1e0cc3e392245\",0,\"lean_workbook_plus_71831\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008933.lean\",\"3d560ee72eea4405a48c970b3d993359e8b7d0b4362f612b49e7067c9f4523bf\",0,\"lean_workbook_plus_42585\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008934.lean\",\"46d996096887cf5251d0cf62fa8d2b6f82c6748ea6a3febbed3b5121bad11e37\",0,\"lean_workbook_36122\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008935.lean\",\"c4e09a13921e9d2781786ad03a44f9b9f55ef5c4b25a39716ab9d4eb07ef61e3\",0,\"lean_workbook_plus_20158\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008936-n000004.json b/manifests/batches/oproofs/s00002-r00008936-n000004.json
index 2d9b6252c6ec767e6b9e91c3dd78085df039d11f..7af194273143e3dee2bd7b6a06f6567bfdb348cf 100644
--- a/manifests/batches/oproofs/s00002-r00008936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008936-n000004",
   "batch_fingerprint": "a08e102a382b702bfc7099ee794ac98e52b55c2a6670aead7d435a40a152b376",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008936-n000004-0000-8237d1c8f1215144.parquet",
-      "sha256": "8237d1c8f1215144c0b6b8813e38b9a625748964c475595f45cc8578289e3b43",
-      "bytes": 70297,
-      "rows": 11,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008937.lean\",\"f50219e497f351781925c2f4b02b657a5b94a9c48e16997554257ae8c9cc3c92\",0,\"lean_workbook_plus_40158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008938.lean\",\"2f0107ef67319038f305232777a540df98e8d15edfb9b7b7fa0fc446543a4578\",0,\"lean_workbook_plus_78102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008939.lean\",\"2ad94c8437dcf219360cb86bfa1536b130c69f8dfddc8096de9286a771967d1c\",0,\"lean_workbook_plus_37938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70297,
+      "path": "data/train/pe7/oproofs-s00002-r00008936-n000004-0000-8237d1c8f1215144.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8237d1c8f1215144c0b6b8813e38b9a625748964c475595f45cc8578289e3b43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008940-n000004.json b/manifests/batches/oproofs/s00002-r00008940-n000004.json
index 6d69939b89618a3857e51c7bed26f07ce067fcf4..3312825debd32809c4b007ef0bd58dbf7095a962 100644
--- a/manifests/batches/oproofs/s00002-r00008940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008940-n000004",
   "batch_fingerprint": "6853c9e98c4f578ae4cc21317c7a090d95aa267a99ac7f7ea4e6d79e8b611f5a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008940-n000004-0000-9386609fd4d5700e.parquet",
-      "sha256": "9386609fd4d5700eef41f537958c1ee29c10870ab863179828da809924f62be6",
-      "bytes": 199824,
-      "rows": 18,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008941.lean\",\"cf2c0e0d8122a116b48c9a00efccc0773167ffbc565814bfe28b90c37a733705\",0,\"lean_workbook_plus_46992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008942.lean\",\"9979bc2c4699a7bd4e5cbbcc3c003f8a650e155acc78c2837eb5a7a94527c3d3\",0,\"lean_workbook_plus_68849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008943.lean\",\"c23bf8f116495afd0c50cdd09bf86a56d973ba03e69e06954414cdcd3c59467d\",0,\"lean_workbook_plus_72154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 199824,
+      "path": "data/train/p86/oproofs-s00002-r00008940-n000004-0000-9386609fd4d5700e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9386609fd4d5700eef41f537958c1ee29c10870ab863179828da809924f62be6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008944-n000004.json b/manifests/batches/oproofs/s00002-r00008944-n000004.json
index 3a8f3c4c8b4d1b48661e239acdf08cf20fa25931..cc22266669ceef34b6e3ad99bbe962dc379340f0 100644
--- a/manifests/batches/oproofs/s00002-r00008944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008944-n000004",
   "batch_fingerprint": "917614b1b24cc01829be7dec6025dd3b042967ab3c820ecaf70e75ab65d6946e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008944-n000004-0000-ca224b8220a6b5c0.parquet",
-      "sha256": "ca224b8220a6b5c0ed14f929d6b98be8037f20c7e702674d549c3197e80fb468",
-      "bytes": 150672,
-      "rows": 12,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008944-n000004-0000-0ef2d7b1d30343aa.parquet",
-      "sha256": "0ef2d7b1d30343aac8bc3ca4fe36821c9b2ba0c24ff748034c1775af84b891bb",
-      "bytes": 88862,
-      "rows": 6,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8945",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008945.lean\",\"102b901dd7a5a2f94fe943fb46283af4088e0df189ad3c4d38d24034a596b8b4\",0,\"lean_workbook_plus_63765\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008946.lean\",\"1f4231301872bc824ec8d5e2941db39c3e6561a61e0c101563036d79e118eff9\",0,\"lean_workbook_plus_60759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008947.lean\",\"4a93d0226a06ba143da00d44cd7657bad561f8d6b16b7516ec02450a05dafadd\",0,\"lean_workbook_36761\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150672,
+      "path": "data/train/pc4/oproofs-s00002-r00008944-n000004-0000-ca224b8220a6b5c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ca224b8220a6b5c0ed14f929d6b98be8037f20c7e702674d549c3197e80fb468"
+    },
+    {
+      "bytes": 88862,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00008944-n000004-0000-0ef2d7b1d30343aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "0ef2d7b1d30343aac8bc3ca4fe36821c9b2ba0c24ff748034c1775af84b891bb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008948-n000004.json b/manifests/batches/oproofs/s00002-r00008948-n000004.json
index a36aebdc102dd3912da5bd48b1361aebc3e47c1e..b7cb2709d843bdfae7dd6146542af5b2604063f2 100644
--- a/manifests/batches/oproofs/s00002-r00008948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008948-n000004",
   "batch_fingerprint": "90166f0acd790ec50d00ecbb5f1604280823d0c1791f513b332b282faef32841",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8948",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8949",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8950",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8951"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008948.lean\",\"39bd4028d6414064973ecf8f3fdd746e5cf2548f4cdf04c5813cd3514b8bf370\",0,\"lean_workbook_plus_75127\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008949.lean\",\"d645ad22b2cf43fa7f69a19f9cdf97b769e1c10c088fccbe4f2c1b8d56624666\",0,\"lean_workbook_35934\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008950.lean\",\"c97fbd2cfc3c5b5ae4363415f7f2a2283e653645b4eeb67c6773fd53703d13d8\",0,\"lean_workbook_plus_7892\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008951.lean\",\"a57e9d0685902da47b8f8d4afe1f32c8b305fca420830a8d4acd7226fba718cf\",0,\"lean_workbook_plus_14299\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008948-n000004-0000-1809d8825cbd523d.parquet",
-      "sha256": "1809d8825cbd523dd440b3803be3af226b7c2719ddd681ca8a295889504c31d7",
       "bytes": 139294,
+      "path": "data/train/p0b/oproofs-s00002-r00008948-n000004-0000-1809d8825cbd523d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "1809d8825cbd523dd440b3803be3af226b7c2719ddd681ca8a295889504c31d7"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008948-n000004-0000-c0ea633351e086fe.parquet",
-      "sha256": "c0ea633351e086febafaa952728b8b9a9789b5cc74bb57fe587ea7e0f1d0739e",
       "bytes": 223072,
+      "path": "data/dev/p0b/oproofs-s00002-r00008948-n000004-0000-c0ea633351e086fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "c0ea633351e086febafaa952728b8b9a9789b5cc74bb57fe587ea7e0f1d0739e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00008948-n000004-0000-10697a5da5dc9649.parquet",
-      "sha256": "10697a5da5dc9649b28d9b10715e67a759ad4ee89b8fed276461ab8103a95cd9",
       "bytes": 59372,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00008948-n000004-0000-10697a5da5dc9649.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
+      "sha256": "10697a5da5dc9649b28d9b10715e67a759ad4ee89b8fed276461ab8103a95cd9"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8948",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8949",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8950",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8951"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008948.lean\",\"39bd4028d6414064973ecf8f3fdd746e5cf2548f4cdf04c5813cd3514b8bf370\",0,\"lean_workbook_plus_75127\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008949.lean\",\"d645ad22b2cf43fa7f69a19f9cdf97b769e1c10c088fccbe4f2c1b8d56624666\",0,\"lean_workbook_35934\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008950.lean\",\"c97fbd2cfc3c5b5ae4363415f7f2a2283e653645b4eeb67c6773fd53703d13d8\",0,\"lean_workbook_plus_7892\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008951.lean\",\"a57e9d0685902da47b8f8d4afe1f32c8b305fca420830a8d4acd7226fba718cf\",0,\"lean_workbook_plus_14299\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008952-n000004.json b/manifests/batches/oproofs/s00002-r00008952-n000004.json
index cb72a368fadf401d095a6913ae57954578c6ac14..da8a210bfba837ce1549d5ac8df2e8b44ed2afc1 100644
--- a/manifests/batches/oproofs/s00002-r00008952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008952-n000004",
   "batch_fingerprint": "c24a383b2083f5560bc2fc772514bbce0c75590c46f93f6889ffed0b9b8844c2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008952-n000004-0000-52938c25d136cc15.parquet",
-      "sha256": "52938c25d136cc1557da62233e0f76715ea7816fc9f177953786d617b32d9a93",
-      "bytes": 135965,
-      "rows": 9,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008952-n000004-0000-35381b30c799ce92.parquet",
-      "sha256": "35381b30c799ce92ffe3a578a4a20adc9a1139856d958a4ef68c04302adf4203",
-      "bytes": 88167,
-      "rows": 6,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008953.lean\",\"67389cc590818c85d3d898e1a05796e7e12ca46f2d77f7a54cb4330a890bda5a\",0,\"lean_workbook_45847\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008954.lean\",\"b5aecb38789c70e1edaa6406899f2b70ce961db2fb21e9f9533be0e916c49482\",0,\"f_0_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008955.lean\",\"5373d70791ca915f615324d62f1fc6299aae177cd687272672b4f285012156d1\",0,\"bobby_paycheck\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135965,
+      "path": "data/train/p44/oproofs-s00002-r00008952-n000004-0000-52938c25d136cc15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "52938c25d136cc1557da62233e0f76715ea7816fc9f177953786d617b32d9a93"
+    },
+    {
+      "bytes": 88167,
+      "path": "data/internal_test/p44/oproofs-s00002-r00008952-n000004-0000-35381b30c799ce92.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "35381b30c799ce92ffe3a578a4a20adc9a1139856d958a4ef68c04302adf4203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008956-n000004.json b/manifests/batches/oproofs/s00002-r00008956-n000004.json
index 4967c4d5d2de628a6d2cf7127f65d212301a0332..383e12f6a8827705442186cf13f1144a398c1b80 100644
--- a/manifests/batches/oproofs/s00002-r00008956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008956-n000004",
   "batch_fingerprint": "48e711b5c0806f64162271486c2c090cb237b821b5098255562eefef6a9f38e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008956-n000004-0000-65444bfdce6f59e6.parquet",
-      "sha256": "65444bfdce6f59e602dc35563b4f0d0acc7f676556c101dab1e8b09dc5bc3c43",
-      "bytes": 146583,
-      "rows": 18,
-      "revision": "f91cba047478ff3e83d21e2b9a40edd2c550e9ae"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8957",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008957.lean\",\"c78982735d8b5db3be66033398e9d7118d883ad335f211eb2fbd1cdd11cdaeeb\",0,\"rectangle_square_area_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008958.lean\",\"cc0b4f1bfafbfb96493a8f12746b423ddc47889d129d7d274bb32caffdb7a843\",0,\"prop_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008959.lean\",\"e0074205f8fc5842fc07545c6c829e3a4013c20ae4548775d6c2e7e7a120f373\",0,\"problem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146583,
+      "path": "data/train/pc4/oproofs-s00002-r00008956-n000004-0000-65444bfdce6f59e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "65444bfdce6f59e602dc35563b4f0d0acc7f676556c101dab1e8b09dc5bc3c43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008960-n000004.json b/manifests/batches/oproofs/s00002-r00008960-n000004.json
index 93c163faff95285e0569158c8eb5121f9a49b312..9f2e66766f12ad102ab0bba070fa835037d0bb19 100644
--- a/manifests/batches/oproofs/s00002-r00008960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008960-n000004",
   "batch_fingerprint": "abdd735d66d3b666da64ae62124193cdbee006afa59aa2927d703368a2947908",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008960-n000004-0000-45313830e41153ba.parquet",
-      "sha256": "45313830e41153ba92ffb773794b12ea9ebf8d66467a23f8b32b14825a75775e",
-      "bytes": 154005,
-      "rows": 20,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008960-n000004-0000-647cf4693e6a8aff.parquet",
-      "sha256": "647cf4693e6a8affb1504b09138d7bd591cd92bb48e7dc3a9568927ca124a26f",
-      "bytes": 84728,
-      "rows": 5,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008961.lean\",\"b63595d6b5c72e56e01d56ef658cd8ff09e8bb872b538d61972d4c26c05015b1\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008962.lean\",\"8578c4179809a7fbf21d65e9d7dca3bd12fb3ec58805055d4aeef10e3504e627\",0,\"area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008963.lean\",\"19354973b858eb2c7f035fad6e9a78800eec31419626658bb767a2275e97f33c\",0,\"magnitude_of_z\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154005,
+      "path": "data/train/p06/oproofs-s00002-r00008960-n000004-0000-45313830e41153ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "45313830e41153ba92ffb773794b12ea9ebf8d66467a23f8b32b14825a75775e"
+    },
+    {
+      "bytes": 84728,
+      "path": "data/internal_test/p06/oproofs-s00002-r00008960-n000004-0000-647cf4693e6a8aff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "647cf4693e6a8affb1504b09138d7bd591cd92bb48e7dc3a9568927ca124a26f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008964-n000004.json b/manifests/batches/oproofs/s00002-r00008964-n000004.json
index 0b317431473add0bb3c4006a07c2ef47ed890df3..170c50e6fa108e9ed437ecb26e716abae137cf73 100644
--- a/manifests/batches/oproofs/s00002-r00008964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008964-n000004",
   "batch_fingerprint": "df870cdbc518dd52f262a4d5db3c9e87e9de164332376a5dc9d323de09fd4781",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008964-n000004-0000-769fec76c39da3dc.parquet",
-      "sha256": "769fec76c39da3dc6d78fd0ac70a9582768091a7fc589028816fef47c3f41e38",
-      "bytes": 355552,
-      "rows": 23,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008964-n000004-0000-d1c8f781052bc71e.parquet",
-      "sha256": "d1c8f781052bc71e45f9f20fcfd701c6e30e04efe3e71b0ab0feab5dc3e211b0",
-      "bytes": 84699,
-      "rows": 4,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008965.lean\",\"09cfe084fc0f15a18551cb6c1d9d041e71c62e4fe43d153f7d2f2025289f7d71\",0,\"sum_of_squares_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008966.lean\",\"2aef71a7afc404a4daf3793d90e5d44d23f8740f878f5c46d68818aa479ed933\",0,\"max_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008967.lean\",\"bdaa33f9708e0b815f24505e2379a12e2cf38887ce6fed3f036c51aa302a2774\",0,\"cylinder_ellipse_eccentricity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355552,
+      "path": "data/train/p9b/oproofs-s00002-r00008964-n000004-0000-769fec76c39da3dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "769fec76c39da3dc6d78fd0ac70a9582768091a7fc589028816fef47c3f41e38"
+    },
+    {
+      "bytes": 84699,
+      "path": "data/dev/p9b/oproofs-s00002-r00008964-n000004-0000-d1c8f781052bc71e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d1c8f781052bc71e45f9f20fcfd701c6e30e04efe3e71b0ab0feab5dc3e211b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008968-n000004.json b/manifests/batches/oproofs/s00002-r00008968-n000004.json
index de1558a9758c4d81739bbf1676d9829a6dc0485c..c0c8076d7740a3da346ba555ea246afdce739042 100644
--- a/manifests/batches/oproofs/s00002-r00008968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008968-n000004",
   "batch_fingerprint": "171871eb0bcb5de5e1ac2878c47d5c5aab218089858df223fe48483c7eca2ae4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008968-n000004-0000-3a7bf224a186ca8b.parquet",
-      "sha256": "3a7bf224a186ca8b5344bbc71dd2fcaaef32b5800b74505eaf722902ccd4ccdb",
-      "bytes": 78086,
-      "rows": 11,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008968-n000004-0000-1ac3790a9f74cc37.parquet",
-      "sha256": "1ac3790a9f74cc37d0327c1f87dddb33a3f9563bd22a47576e7a8417017eae06",
-      "bytes": 84896,
-      "rows": 3,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008969.lean\",\"ea2112a4c501e48857bace46ad24ae099573749ce87c618e8eda08494b52df1f\",0,\"correct_statements\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008970.lean\",\"ea2c3f30debd5449ac16497f2bb845903fee436b40c1c59b9dea607ccb324de9\",0,\"five_consecutive_odd_integers_product_93555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008971.lean\",\"850b3fe53d001accd7472b441bdc371b3339afbb60685987a2bc0b1f02d3a3b1\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78086,
+      "path": "data/train/p28/oproofs-s00002-r00008968-n000004-0000-3a7bf224a186ca8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3a7bf224a186ca8b5344bbc71dd2fcaaef32b5800b74505eaf722902ccd4ccdb"
+    },
+    {
+      "bytes": 84896,
+      "path": "data/internal_test/p28/oproofs-s00002-r00008968-n000004-0000-1ac3790a9f74cc37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1ac3790a9f74cc37d0327c1f87dddb33a3f9563bd22a47576e7a8417017eae06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008972-n000004.json b/manifests/batches/oproofs/s00002-r00008972-n000004.json
index dac05938d16db7a4dc75f3aceacf80d216c74038..6e18ee7e03114888de1650275e1536385cdfb64e 100644
--- a/manifests/batches/oproofs/s00002-r00008972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008972-n000004",
   "batch_fingerprint": "31f3ee7cc1be819c4d2241bcc91080d5e3953c35d8e62525441f7ee0257b596e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008972-n000004-0000-00b8e29cffaef18a.parquet",
-      "sha256": "00b8e29cffaef18aceab1bffb05962af0054c109b07271938296354d093694c2",
-      "bytes": 215447,
-      "rows": 11,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00008972-n000004-0000-0136e228b9612e89.parquet",
-      "sha256": "0136e228b9612e89a4f6ea5a302003415b8d6a615803a7312642f2754c150e1b",
-      "bytes": 1512479,
-      "rows": 2,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008973.lean\",\"812728435e9f4da128a3626fe4c675968ff60ec5ba4f2889d13228e700ee4963\",0,\"exists_unique_x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008974.lean\",\"c2eff2a7b60eea81bfe493efd3547612893d46b36fa648e1a0aa9dde05559208\",0,\"union_complement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008975.lean\",\"3c13824d89f3c921f974c962391bc00eb9840307beda5a9135290ab7c09b6df2\",0,\"special_collection_books_at_end_of_month\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215447,
+      "path": "data/train/pc8/oproofs-s00002-r00008972-n000004-0000-00b8e29cffaef18a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "00b8e29cffaef18aceab1bffb05962af0054c109b07271938296354d093694c2"
+    },
+    {
+      "bytes": 1512479,
+      "path": "data/internal_test/pc8/oproofs-s00002-r00008972-n000004-0000-0136e228b9612e89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0136e228b9612e89a4f6ea5a302003415b8d6a615803a7312642f2754c150e1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008976-n000004.json b/manifests/batches/oproofs/s00002-r00008976-n000004.json
index dd8d4c616eb3e7bbc34685427ff6545d0f00acb1..53bdc37c1258c551ff9ea43207022f141e04ad66 100644
--- a/manifests/batches/oproofs/s00002-r00008976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008976-n000004",
   "batch_fingerprint": "f4f9a50a5ac898aa4909b3a35309f74266190e28f82be7d2e8ae31cc3a5ac1b3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008976-n000004-0000-18634903a3fbf720.parquet",
-      "sha256": "18634903a3fbf72037de9ec1651bb5b58b6db989afc88b6151b2c9aa404629cc",
-      "bytes": 467841,
-      "rows": 19,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008977.lean\",\"1c0b2d80bc050880b07f03df4b47315689692f957d5ae1b65f6e2adb5d76dee2\",0,\"sum_of_first_nine_terms\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008978.lean\",\"6bf42e084b45477994b3ae95a04a0553567b725b5c0714da9a70a2c12b743722\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008979.lean\",\"dc178b7049c2f8d02f189f0226dcab99a1bb3a8aa14e4235d9d4408446fdb71c\",0,\"vendor_throws_away_half\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 467841,
+      "path": "data/train/p19/oproofs-s00002-r00008976-n000004-0000-18634903a3fbf720.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "18634903a3fbf72037de9ec1651bb5b58b6db989afc88b6151b2c9aa404629cc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008980-n000004.json b/manifests/batches/oproofs/s00002-r00008980-n000004.json
index c85e039b8adbc9e41429c9d8fcb389766632d4c9..67442cf9c7863d90f663d0ac904a91b56c39a478 100644
--- a/manifests/batches/oproofs/s00002-r00008980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008980-n000004",
   "batch_fingerprint": "df506cc570002d0dafc3fd8ef66582c88c6faf85aea1d55e9c25f35f394a4e22",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008980-n000004-0000-431a0f66978d2b11.parquet",
-      "sha256": "431a0f66978d2b11f442b49c8b5899764917657ad4c92ab4a6287e54660b608f",
-      "bytes": 108283,
-      "rows": 14,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00008980-n000004-0000-ad853bb3d2c5b30b.parquet",
-      "sha256": "ad853bb3d2c5b30bce5b782ab9f8d0868464dd40ca1685b95f490391f6eb5b77",
-      "bytes": 287527,
-      "rows": 6,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8981",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008981.lean\",\"5ca65df2d8d99bf965ab2ec809f39ddd20f1e6c840d000c73c3423017d701036\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008982.lean\",\"b77628909059447f4e41b7edacebd250ba4713eedb040450d690359f1471598e\",0,\"sum_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008983.lean\",\"3cd72d63fa82b999d60cfe4145518cfd4164a390c7cb0f0763cc5178b666bfa3\",0,\"limit_expression\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108283,
+      "path": "data/train/pad/oproofs-s00002-r00008980-n000004-0000-431a0f66978d2b11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "431a0f66978d2b11f442b49c8b5899764917657ad4c92ab4a6287e54660b608f"
+    },
+    {
+      "bytes": 287527,
+      "path": "data/dev/pad/oproofs-s00002-r00008980-n000004-0000-ad853bb3d2c5b30b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ad853bb3d2c5b30bce5b782ab9f8d0868464dd40ca1685b95f490391f6eb5b77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008984-n000004.json b/manifests/batches/oproofs/s00002-r00008984-n000004.json
index ce15f68a5cc971de6f8985933dc725a2a1f949ce..e9556b84b0c94782b49f1ab21e361247e6a4cea9 100644
--- a/manifests/batches/oproofs/s00002-r00008984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008984-n000004",
   "batch_fingerprint": "3704d52c3edf7828cd71964b2617894f6583e60b23871ad40588229af049b4b4",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8984",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8985",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8986",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8987"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008984.lean\",\"4fa754e01a210521d1147f9f398e7f2d4bbdb0db2bc18fb9cf289ca3b4c79430\",0,\"problem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008985.lean\",\"76fcb2fa4e3f883e8289041c1534bbb214a0bb0682d78c2d9b5dfe927e749cbe\",0,\"new_york_time\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008986.lean\",\"7bdd042b8226a7f8e743e5bcd8a9a09f0dd0b9c2fdf1a779afe7d55253bbdfcc\",0,\"different_visiting_plans\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008987.lean\",\"902eda31bcd3b73832243e746a3f8c4668c12ed291b3b256231fa071227c7920\",0,\"graph_transformation\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00008984-n000004-0000-e9b39c762e7cfd28.parquet",
-      "sha256": "e9b39c762e7cfd289b5241a027636cd72047255172399fb2cc57bc8ffd9c02f3",
       "bytes": 110746,
+      "path": "data/train/p3d/oproofs-s00002-r00008984-n000004-0000-e9b39c762e7cfd28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
+      "sha256": "e9b39c762e7cfd289b5241a027636cd72047255172399fb2cc57bc8ffd9c02f3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008984-n000004-0000-1787bf785307e1ce.parquet",
-      "sha256": "1787bf785307e1ce97ac4f77235e3ce0f0c6df386eb7847ddba76828eb295463",
       "bytes": 650753,
+      "path": "data/dev/p3d/oproofs-s00002-r00008984-n000004-0000-1787bf785307e1ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
+      "sha256": "1787bf785307e1ce97ac4f77235e3ce0f0c6df386eb7847ddba76828eb295463"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00008984-n000004-0001-83fafb1be63e86d9.parquet",
-      "sha256": "83fafb1be63e86d9ac3aa7e4b97251845ae28fe87c7d133c3ef001ade0769625",
       "bytes": 806608,
+      "path": "data/dev/p3d/oproofs-s00002-r00008984-n000004-0001-83fafb1be63e86d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
+      "sha256": "83fafb1be63e86d9ac3aa7e4b97251845ae28fe87c7d133c3ef001ade0769625"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8984",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8985",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8986",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8987"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008984.lean\",\"4fa754e01a210521d1147f9f398e7f2d4bbdb0db2bc18fb9cf289ca3b4c79430\",0,\"problem_name\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008985.lean\",\"76fcb2fa4e3f883e8289041c1534bbb214a0bb0682d78c2d9b5dfe927e749cbe\",0,\"new_york_time\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008986.lean\",\"7bdd042b8226a7f8e743e5bcd8a9a09f0dd0b9c2fdf1a779afe7d55253bbdfcc\",0,\"different_visiting_plans\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008987.lean\",\"902eda31bcd3b73832243e746a3f8c4668c12ed291b3b256231fa071227c7920\",0,\"graph_transformation\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008988-n000004.json b/manifests/batches/oproofs/s00002-r00008988-n000004.json
index 638b656a332eebc027fb44e2c6e75e2cd23d321b..fb1b1f46aa9036e1d3099dbb52a63d0faa709f44 100644
--- a/manifests/batches/oproofs/s00002-r00008988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008988-n000004",
   "batch_fingerprint": "48b84d6b1610cdc08045c8ee9e17ec3e90d311421a773ad7086260adec65ae2c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008988-n000004-0000-268c109e27cdbe97.parquet",
-      "sha256": "268c109e27cdbe97fd86ea077dbb1481d6ebad4b9899d71f2c464fd3d1eac2bc",
-      "bytes": 112610,
-      "rows": 12,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008989.lean\",\"e06df321194adda090c1950fd91c6b61fde56023ac72f2c70222c2f0409d7a08\",0,\"attendees_not_on_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008990.lean\",\"b00fab5600f555352f644873d268d8a0133328a1b69ddb6cc1356e0eb09f43cd\",0,\"total_sampling_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008991.lean\",\"98bb56c130dc51d515ddc4a1983747b7ceea096762c9c7008eee56f04dbe34a6\",0,\"median_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112610,
+      "path": "data/train/p67/oproofs-s00002-r00008988-n000004-0000-268c109e27cdbe97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "268c109e27cdbe97fd86ea077dbb1481d6ebad4b9899d71f2c464fd3d1eac2bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008992-n000004.json b/manifests/batches/oproofs/s00002-r00008992-n000004.json
index 566a936be3ed88cccd05088a99425a8700145d44..a01667597a0221a94f107a3f03cdb8febadc7e35 100644
--- a/manifests/batches/oproofs/s00002-r00008992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008992-n000004",
   "batch_fingerprint": "4bcef5978a36f3e54997887ecef5c78c6fcbf40f3c3ff1ed041402f9d29f9db4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008992-n000004-0000-55d2e07b5cc07b6e.parquet",
-      "sha256": "55d2e07b5cc07b6ecef240388754fd449338c7b8ae7c2963f2a05ce8e1defb7b",
-      "bytes": 255153,
-      "rows": 27,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8993",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008993.lean\",\"927b894fcfc2e9d014db6e023a5738e5457fad919c6a685f768abb14de89659d\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008994.lean\",\"3526fc84ef807cf9ff249ad6ebfff790934356422023b9c569b2cb9a4a66c484\",0,\"sum_of_hyperbolic_sines_positive\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008995.lean\",\"09b6248341c63ddda3778fe6cfbb3f8cc8e291b25c6f502d35a4bf832f438c2f\",0,\"lean_workbook_plus_40158\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255153,
+      "path": "data/train/p08/oproofs-s00002-r00008992-n000004-0000-55d2e07b5cc07b6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "55d2e07b5cc07b6ecef240388754fd449338c7b8ae7c2963f2a05ce8e1defb7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00008996-n000004.json b/manifests/batches/oproofs/s00002-r00008996-n000004.json
index eafa626d5407ab3fdda6ecaf0f173fcd684f548b..3bede292c8d0fbb50386497c0cf566f701f8f6d4 100644
--- a/manifests/batches/oproofs/s00002-r00008996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00008996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00008996-n000004",
   "batch_fingerprint": "f9f1294995bf9d4af824c9e6d866e16de0a2bda4dfb797db584519b8e3ebb3f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00008996-n000004-0000-d33fd666d95e2c03.parquet",
-      "sha256": "d33fd666d95e2c0353ff96ee6694a0eb7dfded8dc79618ec351dc7db4a8cef33",
-      "bytes": 107355,
-      "rows": 15,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:8997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008997.lean\",\"af997a6e2d2a1172cb6736d88b830e0840c294b007657f7169a04a99264e93b2\",0,\"lean_workbook_plus_46992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008998.lean\",\"61357e35ca6c8e1aec0069a336e17308125a856b5d3ff09ee86e7c9b0a39422b\",0,\"lean_workbook_plus_63765\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_008999.lean\",\"a13f17be91e73533320f2dc02465a7543c7ab3fd7b5633ac25f3bd8805006696\",0,\"lean_workbook_plus_68849\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107355,
+      "path": "data/train/pbc/oproofs-s00002-r00008996-n000004-0000-d33fd666d95e2c03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d33fd666d95e2c0353ff96ee6694a0eb7dfded8dc79618ec351dc7db4a8cef33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009000-n000004.json b/manifests/batches/oproofs/s00002-r00009000-n000004.json
index 31b46b2c09efc9ff1d822bfe693ceda08428701d..8e701114fab07ec5848f7718fb39d563463194bc 100644
--- a/manifests/batches/oproofs/s00002-r00009000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009000-n000004",
   "batch_fingerprint": "4f9e2ad0bc28486e602d157b2d1be5c933ec6d31670f1639229711f185046af1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009000-n000004-0000-eb907cfaf6300526.parquet",
-      "sha256": "eb907cfaf63005265938810af1a31e2ad9ab7f32d79a057f2f3c329c83e4295a",
-      "bytes": 244664,
-      "rows": 20,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009001.lean\",\"254ab83f6f9c78b62c5b7a45662d3170bfe82fa408ad0a92d7be87bdf0a14ef6\",0,\"lean_workbook_plus_65812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009002.lean\",\"2f006e90bd5145cf4041639f85c4ed56a34c3309583d415aef20dd4a6a7ba755\",0,\"lean_workbook_plus_7892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009003.lean\",\"89c9eefa2d82492dec789d197af1cab1188f5c18056d119813acb33d22eedb95\",0,\"lean_workbook_plus_72154\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244664,
+      "path": "data/train/pdf/oproofs-s00002-r00009000-n000004-0000-eb907cfaf6300526.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "eb907cfaf63005265938810af1a31e2ad9ab7f32d79a057f2f3c329c83e4295a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009004-n000004.json b/manifests/batches/oproofs/s00002-r00009004-n000004.json
index 644943fea25f19403b73de8e17e455b780f73593..21e79af2495c0aafda4b0373e462acd4ab26661a 100644
--- a/manifests/batches/oproofs/s00002-r00009004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009004-n000004",
   "batch_fingerprint": "bad3d0203e3c5ec764a8bee2e79356c5e3480e92a1c16399219a56b2577d0528",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009004-n000004-0000-6f37ed10909d933f.parquet",
-      "sha256": "6f37ed10909d933fc33009680c13fe2decba5f15b2f313660a7cd876f5d8a8e0",
-      "bytes": 155423,
-      "rows": 10,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009004-n000004-0000-8e1b11ee28fba2b4.parquet",
-      "sha256": "8e1b11ee28fba2b4b2eb4bc7ce8e1918baf4bbae33ef75ed003d491586273f1b",
-      "bytes": 42317,
-      "rows": 2,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009005.lean\",\"f70924a78bb7669c1e3bdcd4db17cf589a22e1eb4000fd572d6287b590524d2e\",0,\"vector_computation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009006.lean\",\"6a9c6c6e60f889b7c52f53469615f31fcf316a00cf52cdd281e2ca7b797c26c5\",0,\"max_abs_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009007.lean\",\"16284e1b15aeb130904bf93aada4020afde96969e13907721cb54c29eb98e790\",0,\"teacher_wu_location_and_steps\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155423,
+      "path": "data/train/p40/oproofs-s00002-r00009004-n000004-0000-6f37ed10909d933f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6f37ed10909d933fc33009680c13fe2decba5f15b2f313660a7cd876f5d8a8e0"
+    },
+    {
+      "bytes": 42317,
+      "path": "data/internal_test/p40/oproofs-s00002-r00009004-n000004-0000-8e1b11ee28fba2b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8e1b11ee28fba2b4b2eb4bc7ce8e1918baf4bbae33ef75ed003d491586273f1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009008-n000004.json b/manifests/batches/oproofs/s00002-r00009008-n000004.json
index 50ef6eeb22961eaed4622ac87afab608cb044dce..153cca07c1b6e9f8faa965e034461ef6f8cedea2 100644
--- a/manifests/batches/oproofs/s00002-r00009008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009008-n000004",
   "batch_fingerprint": "da34a5e30b69e3ded9fe9bbabba66cffa12a87d2a1bcb2e67e7ed14f999663e7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009008-n000004-0000-2fde17c1619e2294.parquet",
-      "sha256": "2fde17c1619e229453ad32babdf8bf483204256df36d77f4ff3c2b790862aeda",
-      "bytes": 193021,
-      "rows": 8,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009008-n000004-0000-3ed4f2db20a0c8e4.parquet",
-      "sha256": "3ed4f2db20a0c8e4d341b97a6555eb34479c956b49a1a31569f9c20d21252705",
-      "bytes": 86285,
-      "rows": 7,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009009.lean\",\"2961b36060b550208aeda6d1ac96467ecafb6d431c425ed7da3c4cb6c23b25a2\",0,\"arithmetic_mean_minimizes_sum_of_squares\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009010.lean\",\"e5b27183e18644109dc3a4d1c00cb134c2d10abf4dd62a8506d6bab784cfb33a\",0,\"f_0_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009011.lean\",\"9936b9eb99c41c859a4ef2b80ddf11a054c0604e0724031e7641ed1f15f36cc2\",0,\"bobby_paycheck\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193021,
+      "path": "data/train/p99/oproofs-s00002-r00009008-n000004-0000-2fde17c1619e2294.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2fde17c1619e229453ad32babdf8bf483204256df36d77f4ff3c2b790862aeda"
+    },
+    {
+      "bytes": 86285,
+      "path": "data/internal_test/p99/oproofs-s00002-r00009008-n000004-0000-3ed4f2db20a0c8e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3ed4f2db20a0c8e4d341b97a6555eb34479c956b49a1a31569f9c20d21252705"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009012-n000004.json b/manifests/batches/oproofs/s00002-r00009012-n000004.json
index 2e8fa5beea48caa052aaf8b3bcca04bc8c8ff520..367cb2a639afbda71d0feeba4c8bae384d80bf1a 100644
--- a/manifests/batches/oproofs/s00002-r00009012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009012-n000004",
   "batch_fingerprint": "82a63f8958ca3e5960feecf5d3980373b4848a5251ce08fd6aba71f2fffd2446",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009012-n000004-0000-5b17446727ca3266.parquet",
-      "sha256": "5b17446727ca3266b4d7df11f0a7751c05411018636d04fbe41ad0bf2290a16b",
-      "bytes": 463465,
-      "rows": 28,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9013",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009013.lean\",\"3eec93a70be97fff1e5c87041edff27991c0fa209e11d74c6c4b550bf3326f19\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009014.lean\",\"1327c7f31d7d7924bf4a5564abc4dc9edee109d1e2b57a3c0a345dbec8b14f55\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009015.lean\",\"5032850acdffdf8543fcab94cb3cf322da3af9e0934c74e1a3483289d31bc5a5\",0,\"simple_interest_to_compound_interest_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463465,
+      "path": "data/train/pb6/oproofs-s00002-r00009012-n000004-0000-5b17446727ca3266.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "5b17446727ca3266b4d7df11f0a7751c05411018636d04fbe41ad0bf2290a16b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009016-n000004.json b/manifests/batches/oproofs/s00002-r00009016-n000004.json
index 15560b9036b0945c3bc55ac5d5ef30c9bb4d0a02..990a54bd83db42758c4d35e15dd29f9c6875bdbe 100644
--- a/manifests/batches/oproofs/s00002-r00009016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009016-n000004",
   "batch_fingerprint": "39d9fb7da82623f67561084bc95b8b88d6d2f36b6c63f775b6a705f9bfd683f0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009016-n000004-0000-fc8976a2583ddf2f.parquet",
-      "sha256": "fc8976a2583ddf2fd48937b984bd05816c22587c0977491e660e935ce734cc18",
-      "bytes": 267367,
-      "rows": 18,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009016-n000004-0000-eab1697b7a1aae48.parquet",
-      "sha256": "eab1697b7a1aae48bcd20085cf5c6a5edfd4facbf644b986f18bb87abd598c15",
-      "bytes": 74102,
-      "rows": 4,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009017.lean\",\"261e5ff299dbaecf7ea6c747e00854397aff50d5fa91eaef72af64188a64d4e6\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009018.lean\",\"f3b0f8a4c1c06c2bf9d812add893d942814900734ac2fe8e42dee95f76403b34\",0,\"chord_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009019.lean\",\"e058efd29e49af1bff05e8f64534f4375c7fc9d1803fe8bc2a811c4420d8b631\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267367,
+      "path": "data/train/p98/oproofs-s00002-r00009016-n000004-0000-fc8976a2583ddf2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fc8976a2583ddf2fd48937b984bd05816c22587c0977491e660e935ce734cc18"
+    },
+    {
+      "bytes": 74102,
+      "path": "data/dev/p98/oproofs-s00002-r00009016-n000004-0000-eab1697b7a1aae48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "eab1697b7a1aae48bcd20085cf5c6a5edfd4facbf644b986f18bb87abd598c15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009020-n000004.json b/manifests/batches/oproofs/s00002-r00009020-n000004.json
index d0f0368ecbeccb09ac63d8a15094ea6bc4e38552..54abe04b5b244aaeccdddac2df7bb621db3f4e8e 100644
--- a/manifests/batches/oproofs/s00002-r00009020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009020-n000004",
   "batch_fingerprint": "baefa324a2c2f89a2e75303f2e95d691a49fcba5e83520eb90fcfceffaac7d01",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009020-n000004-0000-9560ff632f4d20b2.parquet",
-      "sha256": "9560ff632f4d20b2d43a47dda315053d63e3658e54c1897f9d384712d98dcc91",
-      "bytes": 422636,
-      "rows": 21,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009020-n000004-0000-eb8a5fe31714239c.parquet",
-      "sha256": "eb8a5fe31714239c63ee3faf84dd29b8c209445ca5a64d520eb798dbfc4f3e55",
-      "bytes": 84972,
-      "rows": 2,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009021.lean\",\"a5554708c7063cde3f66d2021fd1db6bfa998e54e98020919a86b3a4b1ebfcd5\",0,\"sum_of_squares_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009022.lean\",\"f394d8e82c6a7a4338a2126aef59da0c1c52c199e4dcecba12fdb2734f2a2d8f\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009023.lean\",\"c49e9901b5c3ca982bb7ea1fa020cc4dfd00d1c80d5c387a5581bdd2771aee01\",0,\"magnitude_of_z\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422636,
+      "path": "data/train/pce/oproofs-s00002-r00009020-n000004-0000-9560ff632f4d20b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9560ff632f4d20b2d43a47dda315053d63e3658e54c1897f9d384712d98dcc91"
+    },
+    {
+      "bytes": 84972,
+      "path": "data/internal_test/pce/oproofs-s00002-r00009020-n000004-0000-eb8a5fe31714239c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eb8a5fe31714239c63ee3faf84dd29b8c209445ca5a64d520eb798dbfc4f3e55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009024-n000004.json b/manifests/batches/oproofs/s00002-r00009024-n000004.json
index 8afbd3a5d4a46ef926eeb8bbc66cff73d567c92d..5fd96f86a5db327507b67971dd470ef4eb6e1f00 100644
--- a/manifests/batches/oproofs/s00002-r00009024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009024-n000004",
   "batch_fingerprint": "d2a04e33f76f0814ad2d009b4d88012ab039d176b8ad12a752ba3df711bfc090",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009024-n000004-0000-dba9c45bc7188a89.parquet",
-      "sha256": "dba9c45bc7188a897299ba82eacad00a96d804e9963a7a70661540ba715d1f9d",
-      "bytes": 186517,
-      "rows": 20,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009024-n000004-0000-3270e6ac55f0c420.parquet",
-      "sha256": "3270e6ac55f0c420af36e92f819f0e6d49becdfdca1c77d08e44f050c8e2f74b",
-      "bytes": 129522,
-      "rows": 9,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009025.lean\",\"db5aa8edaea4acf681fa02cefda1ed24a8799c28386988b3181a1e9eeff6dae9\",0,\"max_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009026.lean\",\"add48af9ce838d9fe32b9ae50d551505d49178f64f2615fe9b60850f898e4b2a\",0,\"cylinder_ellipse_eccentricity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009027.lean\",\"d98f591675cc561fcba86788052937c925cef9c17995f2ddab38a200ed65031f\",0,\"total_cost_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186517,
+      "path": "data/train/pa6/oproofs-s00002-r00009024-n000004-0000-dba9c45bc7188a89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "dba9c45bc7188a897299ba82eacad00a96d804e9963a7a70661540ba715d1f9d"
+    },
+    {
+      "bytes": 129522,
+      "path": "data/dev/pa6/oproofs-s00002-r00009024-n000004-0000-3270e6ac55f0c420.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3270e6ac55f0c420af36e92f819f0e6d49becdfdca1c77d08e44f050c8e2f74b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009028-n000004.json b/manifests/batches/oproofs/s00002-r00009028-n000004.json
index 6cb7da811a2ab271ebd92a2eb921851f96a62d7f..f1e974a1ee19fa8d9d94b721b5afcd5ab2e9453b 100644
--- a/manifests/batches/oproofs/s00002-r00009028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009028-n000004",
   "batch_fingerprint": "aea0182aa79fd8b931482516f1c377342e422d7eb2a424bf80bdac1c0d5175b2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009028-n000004-0000-a7aff34e795a41d9.parquet",
-      "sha256": "a7aff34e795a41d9ddd4e37799d52f2b96a3135fb458d9d5725c657288ebb74b",
-      "bytes": 588017,
-      "rows": 12,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009028-n000004-0000-95bade07e13dca3c.parquet",
-      "sha256": "95bade07e13dca3c85882bab8e95fc9422c3a27010d1757656da22e951629b08",
-      "bytes": 29835,
-      "rows": 1,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009029.lean\",\"45347ad18a6ff43e066db0250cf4ffeb460546d4ee51be00661372e1c8c5d6dd\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009030.lean\",\"3b17d37d4281ef8a74a87c560de18f185e02d24462876c5f2f5300167c9ed53d\",0,\"no_tangent_at_zero\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009031.lean\",\"7b4aa04494b0f182cc62c1c0d450899c8838f205831f4327cdb4fbe059cef0a5\",0,\"min_shift_for_symmetry\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588017,
+      "path": "data/train/p32/oproofs-s00002-r00009028-n000004-0000-a7aff34e795a41d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a7aff34e795a41d9ddd4e37799d52f2b96a3135fb458d9d5725c657288ebb74b"
+    },
+    {
+      "bytes": 29835,
+      "path": "data/internal_test/p32/oproofs-s00002-r00009028-n000004-0000-95bade07e13dca3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "95bade07e13dca3c85882bab8e95fc9422c3a27010d1757656da22e951629b08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009032-n000004.json b/manifests/batches/oproofs/s00002-r00009032-n000004.json
index 1a35096dac41174b8f3fecef3bf96f220f160c65..33f51b4ce65d36bb4ad3b2cb7e3df784a174bb07 100644
--- a/manifests/batches/oproofs/s00002-r00009032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009032-n000004",
   "batch_fingerprint": "5804fe8f20787d4a99cf28a432705837dd7d8824d82f0cf51bf7da5b46ac953e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009032-n000004-0000-43dab3daa5d866e1.parquet",
-      "sha256": "43dab3daa5d866e1bb27aa0261e27a9429c3aac03c2bed8568e2d04d88c06bc4",
-      "bytes": 171196,
-      "rows": 18,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9033",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009033.lean\",\"1d62c901a8b4c41dfd97cc6212b9d69e45d8d341bfdaa2331360d6a1cea07c2d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009034.lean\",\"fb3555ec6e632980de7a9596c01a8bdf5f5f472fa38c624fe928b4d1395bc81a\",0,\"area_of_right_triangle_with_45_deg_angles\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009035.lean\",\"7b37bdf65a854b3893d6e76dd361a33cd93946cf4a9513033c7ecf4f476401ee\",0,\"vendor_throws_away_half\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171196,
+      "path": "data/train/pfc/oproofs-s00002-r00009032-n000004-0000-43dab3daa5d866e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "43dab3daa5d866e1bb27aa0261e27a9429c3aac03c2bed8568e2d04d88c06bc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009036-n000004.json b/manifests/batches/oproofs/s00002-r00009036-n000004.json
index b830ba33489c3ff417777c03034896f14612c6cb..11849d24f61d596d3e7f2555546212f0a7f18400 100644
--- a/manifests/batches/oproofs/s00002-r00009036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009036-n000004",
   "batch_fingerprint": "879d6cf1ae76d7b22f99af79dd9d1603f5151bf56e3c0e2e89cc26c1e0bf7610",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009036-n000004-0000-740ab103d1680ba9.parquet",
-      "sha256": "740ab103d1680ba9bfcd3a88c2d26077e34b54f5af493f88c642d192b9bbb612",
-      "bytes": 425793,
-      "rows": 24,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009037.lean\",\"2690c302bcd2f6b75d2b706a2263483e692df1275de681b79f5511881448e2b4\",0,\"sum_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009038.lean\",\"42433532b5592b363422366879812b6c2100898baba8e391fb1eddc9e4b86e30\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009039.lean\",\"e19ec943fe9f6668d48bc26966645aeb7e59b855d1469276bfcb59bc6df587cb\",0,\"unique_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425793,
+      "path": "data/train/p42/oproofs-s00002-r00009036-n000004-0000-740ab103d1680ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "740ab103d1680ba9bfcd3a88c2d26077e34b54f5af493f88c642d192b9bbb612"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009040-n000004.json b/manifests/batches/oproofs/s00002-r00009040-n000004.json
index f342077e3dab35c8d05f1beec12accc0447dd512..3b65cd0716bcee4425bd25b4121598f13dc8a414 100644
--- a/manifests/batches/oproofs/s00002-r00009040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009040-n000004",
   "batch_fingerprint": "f32c6a8f50ff9ca3ec5d5eca9dd5e5cb7f697f72e3b3c944ed3bb31460f27321",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009040-n000004-0000-4b0e55c64f396c33.parquet",
-      "sha256": "4b0e55c64f396c33b3cabd28598e1a5022f1bdcef1b6aab1f6d8d866c4686977",
-      "bytes": 345377,
-      "rows": 13,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009041.lean\",\"fbdaba1a00006b5f19c6bccdcba17fc0919cbd9023bfe721f57ec41c5720cbdc\",0,\"different_visiting_plans\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009042.lean\",\"03a76dafcee9c2de17472ca4cca11f0af4cb4f865965848d897bcfb19e51deb0\",0,\"volume_ratio_tetrahedron_cube\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009043.lean\",\"2aaa72a25b0750f7abe8d69d8721aeea3d30709d3f1618229ac7a793050df9c3\",0,\"max_product\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345377,
+      "path": "data/train/pea/oproofs-s00002-r00009040-n000004-0000-4b0e55c64f396c33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4b0e55c64f396c33b3cabd28598e1a5022f1bdcef1b6aab1f6d8d866c4686977"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009044-n000004.json b/manifests/batches/oproofs/s00002-r00009044-n000004.json
index 2611b51ce23c733398b9bfdb1fc5e8f5a2f6c3d5..062de48cf47bf838128371e2c6e2cfa32068e7b1 100644
--- a/manifests/batches/oproofs/s00002-r00009044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009044-n000004",
   "batch_fingerprint": "e7136f93caf2fbb43cf12c5d8784e5d74b40c14547be496710ba12b427441be0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009044-n000004-0000-6fc10284d472dd12.parquet",
-      "sha256": "6fc10284d472dd12ab6213901553d09e35d2d3df005c560dc6c785a25a01723b",
-      "bytes": 144086,
-      "rows": 12,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9045",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009045.lean\",\"c6de1b2642b1d49f0d13a896a309aa34548d07f87d4b6609e06bca7f435c94b4\",0,\"perimeter_comparison\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009046.lean\",\"888300f6ddd994c5151ee270f3df45ca5085bcc60d02839b9905982520a47f03\",0,\"total_sampling_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009047.lean\",\"3581b74124ebd07a56b0d7cd7aa828eb68cb680197075dff03a0a531a1e3cd1a\",0,\"median_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144086,
+      "path": "data/train/p84/oproofs-s00002-r00009044-n000004-0000-6fc10284d472dd12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6fc10284d472dd12ab6213901553d09e35d2d3df005c560dc6c785a25a01723b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009048-n000004.json b/manifests/batches/oproofs/s00002-r00009048-n000004.json
index fb0884fcd320c298c3b1bf7283b568f02c56a13f..96f96e742e6bc666446ff4d767bf235150bb8a47 100644
--- a/manifests/batches/oproofs/s00002-r00009048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009048-n000004",
   "batch_fingerprint": "005c960e357587467deab489fa0224296c9017df9cda0f07a2a6670ce1c010b3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009048-n000004-0000-44632433107c714e.parquet",
-      "sha256": "44632433107c714e64e1bded1d29baaaaeb1f6123a732a1cff54f9c57482daac",
-      "bytes": 582429,
-      "rows": 25,
-      "revision": "30ddbb24a65d410cdd36da586d32876b4f065320"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9049",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009049.lean\",\"f2a906e3614828086ec98ef2a6e84c3e415f480bc9a6401fc3c463ed5593deea\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009050.lean\",\"36e8efdea76a8872e60e5670cd0fd014dce78560edc046e075ed08b2a81c1d9d\",0,\"sum_of_hyperbolic_sines_positive\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009051.lean\",\"c2b8abb5ec58afc2fa840245c6a940c7825269fb35c4bb12091cca6b4b055122\",0,\"min_omega\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 582429,
+      "path": "data/train/pee/oproofs-s00002-r00009048-n000004-0000-44632433107c714e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "44632433107c714e64e1bded1d29baaaaeb1f6123a732a1cff54f9c57482daac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009052-n000004.json b/manifests/batches/oproofs/s00002-r00009052-n000004.json
index b22d0025033424d03b33367cafdb4a80a128b2ce..8802ec5f0ef53d4ef6db2da93231620b79fe4d64 100644
--- a/manifests/batches/oproofs/s00002-r00009052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009052-n000004",
   "batch_fingerprint": "6b2cb8861f2228ac4fa6c8adfd1b678a89f4b1c45d7b403d78e7ce96bd8040e9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009052-n000004-0000-63efe2eb34e2c29f.parquet",
-      "sha256": "63efe2eb34e2c29f214de368e2d99942bde3dc45ca1fbea63740c0766ed69499",
-      "bytes": 107330,
-      "rows": 20,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009053.lean\",\"0d656d717cafe56994e922e171eec1809c80c008f31f3a6b5c103ea73bd818b2\",0,\"lean_workbook_plus_40158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009054.lean\",\"1139b4ad1f4a1f0d2f7456d8bc19125b179ebed6c8ca2fc8b18bd26e9ef50669\",0,\"lean_workbook_plus_63765\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009055.lean\",\"6cbd69351e9e8bbcff0b2cc09eaee819c0a761f6529e246eb9f9b9b68d0e27ca\",0,\"lean_workbook_plus_46992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107330,
+      "path": "data/train/p33/oproofs-s00002-r00009052-n000004-0000-63efe2eb34e2c29f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "63efe2eb34e2c29f214de368e2d99942bde3dc45ca1fbea63740c0766ed69499"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009056-n000004.json b/manifests/batches/oproofs/s00002-r00009056-n000004.json
index 969d15a2e374624c7ca2897930a7221f6c8d1c00..c4b26eac6dd1d4f8f6dc1c6cb07b5207541381d6 100644
--- a/manifests/batches/oproofs/s00002-r00009056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009056-n000004",
   "batch_fingerprint": "d804b5050a3e71961c92eae5e6f8848c82fe66286bb7d93e94757da4eef0e756",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009056-n000004-0000-5117522b65d9cb3e.parquet",
-      "sha256": "5117522b65d9cb3e4b4e2ada251e3f1d7564fd8f1082e1988a264b1d01ab3450",
-      "bytes": 264617,
-      "rows": 19,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009057.lean\",\"e79d6735d43b2083ae5b35f549fb674f114533fe2a697f4682afa0ef2d17f7a8\",0,\"lean_workbook_36761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009058.lean\",\"7467062476a4bdb3941629280d54ff03208eafa8f7fa22167887101141a78024\",0,\"lean_workbook_35934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009059.lean\",\"95915944662e6c3bb486d8531a8be242e63d3614c5c989cee48e360d8ecd37e6\",0,\"lean_workbook_plus_65812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264617,
+      "path": "data/train/p48/oproofs-s00002-r00009056-n000004-0000-5117522b65d9cb3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5117522b65d9cb3e4b4e2ada251e3f1d7564fd8f1082e1988a264b1d01ab3450"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009060-n000004.json b/manifests/batches/oproofs/s00002-r00009060-n000004.json
index a183c797e4b1e585c900359ff7ec4b13b98e0746..4a3de7f81988a1d8f27d12213a02fd036b81b197 100644
--- a/manifests/batches/oproofs/s00002-r00009060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009060-n000004",
   "batch_fingerprint": "e04a87d9b13efe6f036f8eff03c5efda5969b57ed4b9000b6ef23fea92c6d199",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9060",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9061",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9062",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9063"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009060.lean\",\"19207e9db150ce871272e2f130069b10ff13ee264f3aec6bb43cae0e710e727e\",0,\"lean_workbook_plus_7892\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009061.lean\",\"ae05f60dea17d4e2537235cba1680f839807383cdf59c4a22f3aa8bf9ab535a4\",0,\"lean_workbook_31573\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009062.lean\",\"816acb787a5314997952d9aaf7b4176283ac5c63526280261818d534625531f5\",0,\"vector_computation\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009063.lean\",\"0aa008f0fdf5c64ad7d749eca37bdd05d6a81cc73fa95655a361137ebf22ebbd\",0,\"lean_workbook_plus_14299\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009060-n000004-0000-cc1f794fbf2bfc9f.parquet",
-      "sha256": "cc1f794fbf2bfc9f6f0e59a2759caf9d2143499049c6f42c8b05dec85ff3512f",
       "bytes": 155855,
+      "path": "data/train/pc4/oproofs-s00002-r00009060-n000004-0000-cc1f794fbf2bfc9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
+      "sha256": "cc1f794fbf2bfc9f6f0e59a2759caf9d2143499049c6f42c8b05dec85ff3512f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009060-n000004-0000-35872b9f672afbfe.parquet",
-      "sha256": "35872b9f672afbfe6aab8e223ffd2fee7e8db2c15169e379112d32a10efa3204",
       "bytes": 192933,
+      "path": "data/dev/pc4/oproofs-s00002-r00009060-n000004-0000-35872b9f672afbfe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
+      "sha256": "35872b9f672afbfe6aab8e223ffd2fee7e8db2c15169e379112d32a10efa3204"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009060-n000004-0000-c8de711d2b0d50a9.parquet",
-      "sha256": "c8de711d2b0d50a94d4b2457efda19396a887cd969dfb77d63bd95fd3d6773d0",
       "bytes": 43477,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00009060-n000004-0000-c8de711d2b0d50a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
+      "sha256": "c8de711d2b0d50a94d4b2457efda19396a887cd969dfb77d63bd95fd3d6773d0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9060",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9061",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9062",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9063"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009060.lean\",\"19207e9db150ce871272e2f130069b10ff13ee264f3aec6bb43cae0e710e727e\",0,\"lean_workbook_plus_7892\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009061.lean\",\"ae05f60dea17d4e2537235cba1680f839807383cdf59c4a22f3aa8bf9ab535a4\",0,\"lean_workbook_31573\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009062.lean\",\"816acb787a5314997952d9aaf7b4176283ac5c63526280261818d534625531f5\",0,\"vector_computation\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009063.lean\",\"0aa008f0fdf5c64ad7d749eca37bdd05d6a81cc73fa95655a361137ebf22ebbd\",0,\"lean_workbook_plus_14299\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009064-n000004.json b/manifests/batches/oproofs/s00002-r00009064-n000004.json
index 43e6e9c26d60835267d15f5d27a474c5d7c9d1eb..9a121a1e348e9f06faf3090016a2993794530082 100644
--- a/manifests/batches/oproofs/s00002-r00009064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009064-n000004",
   "batch_fingerprint": "562108cb9f6d0a8a50c8a61535ded5b1c760312e2f81110aa3cc6247c25c04cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009064-n000004-0000-71fc4f9e88b3a107.parquet",
-      "sha256": "71fc4f9e88b3a107f359428fa4d127d03866cfd60a1a63a6836551cd933d9d7c",
-      "bytes": 253606,
-      "rows": 18,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009064-n000004-0000-b61522b244e6e182.parquet",
-      "sha256": "b61522b244e6e182c4fa5b21842efc14b72117681e0df6a9fb6c74250bc7a984",
-      "bytes": 99019,
-      "rows": 5,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009065.lean\",\"5c103ec45e955e8ba1168706101763c79ea1c282f729eb069e343f12f96bec7e\",0,\"lean_workbook_plus_72154\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009066.lean\",\"15b928ee1ac959d17fb3c4407cf9030c1892698ad4335ca0366732f3bc9c4235\",0,\"max_abs_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009067.lean\",\"23759ed2ac0e3c0038f3874a2d7dd10fabe59687ecc28087a0f3aa9bc0d79d3e\",0,\"f_value_at_2023_over_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253606,
+      "path": "data/train/p80/oproofs-s00002-r00009064-n000004-0000-71fc4f9e88b3a107.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "71fc4f9e88b3a107f359428fa4d127d03866cfd60a1a63a6836551cd933d9d7c"
+    },
+    {
+      "bytes": 99019,
+      "path": "data/internal_test/p80/oproofs-s00002-r00009064-n000004-0000-b61522b244e6e182.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b61522b244e6e182c4fa5b21842efc14b72117681e0df6a9fb6c74250bc7a984"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009068-n000004.json b/manifests/batches/oproofs/s00002-r00009068-n000004.json
index f4b9a4b621c93e997dcbb9256052f720fcc29779..0c9aa5986a763dd5e3a2d1ff176cc9d6b38a6a81 100644
--- a/manifests/batches/oproofs/s00002-r00009068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009068-n000004",
   "batch_fingerprint": "1f4dfb339c12ab40dc48769c898bbc599c0e82c45e60ec3038bdaf56fa56d289",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009068-n000004-0000-45f67a25c19438bd.parquet",
-      "sha256": "45f67a25c19438bd4084c49b23054d5fb5edd91886f922d72d3d3e464f807f44",
-      "bytes": 204291,
-      "rows": 17,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009068-n000004-0000-450a579173d31e01.parquet",
-      "sha256": "450a579173d31e01c8137f5761cc25d2a91fe32350d85d4ac77ea66e72be6671",
-      "bytes": 56073,
-      "rows": 3,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009069.lean\",\"7de835a390d8db3b3707943b7bf3d6d6f0ebceecfa8da3f25082fbc35d67a1e7\",0,\"rectangle_square_area_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009070.lean\",\"84f5bc1ac8590fbfd433dad88853eb68e4d536b5696498ee8a323c24b7f33094\",0,\"imo_1965_p5\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009071.lean\",\"da245c61e1c2a8fbdad07e08c66aa1d61006cb8fcc785c753d135124164f5958\",0,\"area_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204291,
+      "path": "data/train/p6f/oproofs-s00002-r00009068-n000004-0000-45f67a25c19438bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "45f67a25c19438bd4084c49b23054d5fb5edd91886f922d72d3d3e464f807f44"
+    },
+    {
+      "bytes": 56073,
+      "path": "data/dev/p6f/oproofs-s00002-r00009068-n000004-0000-450a579173d31e01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "450a579173d31e01c8137f5761cc25d2a91fe32350d85d4ac77ea66e72be6671"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009072-n000004.json b/manifests/batches/oproofs/s00002-r00009072-n000004.json
index 36ab342cd6d0a2bdcb627a7dc0c2e4c4e575753b..0d8aade9b0f0743aecd3d18964fd25e23054133d 100644
--- a/manifests/batches/oproofs/s00002-r00009072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009072-n000004",
   "batch_fingerprint": "be078c0ca8877dc3890d16398cba8c90674b36332dc8270abe29d70089d0eb71",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009072-n000004-0000-43970bbf12658a7d.parquet",
-      "sha256": "43970bbf12658a7db95a2f5265377ee7e2ab20260a1b66df248b5ff78c5bb78c",
-      "bytes": 283713,
-      "rows": 19,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009072-n000004-0000-7a7da2acb48efa02.parquet",
-      "sha256": "7a7da2acb48efa02fae3972a1b71e37f6a5948c957d3de60b2049e2e3fa5d459",
-      "bytes": 76610,
-      "rows": 4,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9073",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009073.lean\",\"1a7d2bb37ec431edc51a07bd315155aa35fc91fe2e30ebe59d2c10cd23443b5e\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009074.lean\",\"519b655517023c1efccfb3d9735f747aec9e51c1a4b4ce59ede132d0422af71f\",0,\"dilation_vertex_coordinates\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009075.lean\",\"518accdf7e80b8e8dad2ed4034f21d388b80c092041f90025dfcea8b3d0cee3d\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 283713,
+      "path": "data/train/p7a/oproofs-s00002-r00009072-n000004-0000-43970bbf12658a7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "43970bbf12658a7db95a2f5265377ee7e2ab20260a1b66df248b5ff78c5bb78c"
+    },
+    {
+      "bytes": 76610,
+      "path": "data/dev/p7a/oproofs-s00002-r00009072-n000004-0000-7a7da2acb48efa02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7a7da2acb48efa02fae3972a1b71e37f6a5948c957d3de60b2049e2e3fa5d459"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009076-n000004.json b/manifests/batches/oproofs/s00002-r00009076-n000004.json
index 19535cc30aa28e1cf0fedbbfee96862c5f3b078c..8add09d2871141c5a5e4e48b7b1701f74fbd266c 100644
--- a/manifests/batches/oproofs/s00002-r00009076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009076-n000004",
   "batch_fingerprint": "87794886876619c2943bc7b2439564a1d643ff960c0c6a0a892ed1a5d36b91bc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009076-n000004-0000-8bd0362d860e197a.parquet",
-      "sha256": "8bd0362d860e197a76ee1908730b21aaabf05820e4a9808e7e31f267e86fde5a",
-      "bytes": 304324,
-      "rows": 10,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009076-n000004-0000-f14cf1e146862aa6.parquet",
-      "sha256": "f14cf1e146862aa6744b1d292bda40180892a677d7396ae66ac344ce9e927798",
-      "bytes": 93835,
-      "rows": 6,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009077.lean\",\"dee2ae219c7793e816aff5eccff04833d00b42630fd8e6225c67f9cf27e028ad\",0,\"sum_of_squares_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009078.lean\",\"73f1f609af4733fdeda4de87983f1e72d4fff5aea97106e80da10e612ccd976e\",0,\"lean_workbook_45847\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009079.lean\",\"371eb6c2febbcbd96cbbe2e3ce147edb0c9dcf7eb94a5954ec1cbed3b8979724\",0,\"plane_equation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304324,
+      "path": "data/train/p69/oproofs-s00002-r00009076-n000004-0000-8bd0362d860e197a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8bd0362d860e197a76ee1908730b21aaabf05820e4a9808e7e31f267e86fde5a"
+    },
+    {
+      "bytes": 93835,
+      "path": "data/internal_test/p69/oproofs-s00002-r00009076-n000004-0000-f14cf1e146862aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f14cf1e146862aa6744b1d292bda40180892a677d7396ae66ac344ce9e927798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009080-n000004.json b/manifests/batches/oproofs/s00002-r00009080-n000004.json
index 85fb07f8848e9b0258b5346e8dcf42e7b45003a8..1e1205630cb8a858b172815d35d8d6b014936eaf 100644
--- a/manifests/batches/oproofs/s00002-r00009080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009080-n000004",
   "batch_fingerprint": "82a5af511ac0e641a8ba0430d29b0ceba3e23678d8cb2a5278a34356ecd2afb3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009080-n000004-0000-a7e043bc5f5463b1.parquet",
-      "sha256": "a7e043bc5f5463b1f83c0bd4b96919d4ab712437aa5bcba3b7e62607abde9030",
-      "bytes": 212078,
-      "rows": 18,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009080-n000004-0000-e63a230608c4d1db.parquet",
-      "sha256": "e63a230608c4d1dbf56919a14c015983f139af0acbee8d4ec40b394582d21f65",
-      "bytes": 109301,
-      "rows": 7,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009081.lean\",\"5cd0c89c300eb21e4ccdfe332bbaa3d427fa68a9f7a19b224b111eb2a4703b34\",0,\"max_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009082.lean\",\"8185bc436b9da558f746790058c71ffadfdfc381f8f30aa95e273e92c3a87721\",0,\"total_cost_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009083.lean\",\"307266f9dab4c1ea38ce12fb727b8041da59f7a0f530201b90b444bb57204f12\",0,\"correct_statements\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212078,
+      "path": "data/train/p2e/oproofs-s00002-r00009080-n000004-0000-a7e043bc5f5463b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a7e043bc5f5463b1f83c0bd4b96919d4ab712437aa5bcba3b7e62607abde9030"
+    },
+    {
+      "bytes": 109301,
+      "path": "data/dev/p2e/oproofs-s00002-r00009080-n000004-0000-e63a230608c4d1db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e63a230608c4d1dbf56919a14c015983f139af0acbee8d4ec40b394582d21f65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009084-n000004.json b/manifests/batches/oproofs/s00002-r00009084-n000004.json
index a393991fad2ea69a337686d25fd33be873687ba2..e184b192d21ecbcb8be16f9b91a20047a1718f5a 100644
--- a/manifests/batches/oproofs/s00002-r00009084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009084-n000004",
   "batch_fingerprint": "36865ccb23c9fdd03a558a0c2e2bcc4716d2a3de7f94122ac855a1ecc4198746",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009084-n000004-0000-2c452a4070bd8dd7.parquet",
-      "sha256": "2c452a4070bd8dd7011c33df1f63fb9fe5356b68696761b9e4e6e9306c6cd893",
-      "bytes": 110493,
-      "rows": 8,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009084-n000004-0000-4eace9bed807677f.parquet",
-      "sha256": "4eace9bed807677fd73d48710b87dc210ade851be3a709be68d07b227c22f2ed",
-      "bytes": 107848,
-      "rows": 5,
-      "revision": "ea13d0a191ac904eefa629a8499af720a802a785"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009085.lean\",\"39e18ec1c80fce87d4e5ac604b677ee162d39b8e6d85b095ebfd7173bcbd1436\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009086.lean\",\"e7874444eba54ac8413bd05e7fccd2dd61c00a15c6f1936cf43a402a1f0869c3\",0,\"population_growth_rate\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009087.lean\",\"7a2d7b38181431d1dd320723b0aff441bb78d750c88b807af00cadefdc4084dc\",0,\"five_consecutive_odd_integers_product_93555\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110493,
+      "path": "data/train/p31/oproofs-s00002-r00009084-n000004-0000-2c452a4070bd8dd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2c452a4070bd8dd7011c33df1f63fb9fe5356b68696761b9e4e6e9306c6cd893"
+    },
+    {
+      "bytes": 107848,
+      "path": "data/internal_test/p31/oproofs-s00002-r00009084-n000004-0000-4eace9bed807677f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4eace9bed807677fd73d48710b87dc210ade851be3a709be68d07b227c22f2ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009088-n000004.json b/manifests/batches/oproofs/s00002-r00009088-n000004.json
index 5d5080d2a739a50808aa6f23483c07c54dd10925..9e8f3d2c104a3b04261f8a3bacb6fa4cbe1b20fd 100644
--- a/manifests/batches/oproofs/s00002-r00009088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009088-n000004",
   "batch_fingerprint": "dd8c615700e9c0d813c356b4dbe7b8a6d3d6b5412758c1d484d4c1b7383988ff",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009088-n000004-0000-d4bb73c2462edc52.parquet",
-      "sha256": "d4bb73c2462edc52ae89c98f82f08c5c5e879291e56106dee7b75280839f56e7",
-      "bytes": 363230,
-      "rows": 18,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009088-n000004-0000-1d6f4b2637198765.parquet",
-      "sha256": "1d6f4b26371987658402bb428f33d61c4d5dee6178dec2ee8efb16a0c4b488dd",
-      "bytes": 93083,
-      "rows": 5,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009089.lean\",\"1bf541019c65ad5c13b09f91f5df64f75360a9325348a0707be1baa585c87aa5\",0,\"problem_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009090.lean\",\"5b5bac39c887552538410a6dfc0e8306278756dec013a9c33926af5f1aa7e22c\",0,\"special_collection_books_at_end_of_month\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009091.lean\",\"1d134fac36d12e580487491e6c3a1d5c18a595dcb08170e63405c47c0cfc364b\",0,\"area_of_right_triangle_with_45_deg_angles\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363230,
+      "path": "data/train/p16/oproofs-s00002-r00009088-n000004-0000-d4bb73c2462edc52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d4bb73c2462edc52ae89c98f82f08c5c5e879291e56106dee7b75280839f56e7"
+    },
+    {
+      "bytes": 93083,
+      "path": "data/internal_test/p16/oproofs-s00002-r00009088-n000004-0000-1d6f4b2637198765.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1d6f4b26371987658402bb428f33d61c4d5dee6178dec2ee8efb16a0c4b488dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009092-n000004.json b/manifests/batches/oproofs/s00002-r00009092-n000004.json
index 2ae717f96302e762093d6fd0adab45377a558ba7..cd394426e3df8e00e63f5831a9a6a1cdd88d4d3e 100644
--- a/manifests/batches/oproofs/s00002-r00009092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009092-n000004",
   "batch_fingerprint": "0ad821e042d40b2735508a62379ce1d4b33b454d3711d4359a989bac4ae1f9d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009092-n000004-0000-667a19e3ec125230.parquet",
-      "sha256": "667a19e3ec125230ce991a5dc7332c1262707f3a3f248ba6f57b39d7d99822ec",
-      "bytes": 220947,
-      "rows": 18,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009093.lean\",\"b4de8ce4ea5a8fbfb83248765787065f9314223ad1c44ca65302ddcfd8842f2d\",0,\"vendor_throws_away_half\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009094.lean\",\"f9656e45d0be5f6fdddcaeb9e138080635d91a856214f6e083c70522e25ac812\",0,\"soldier_shooting_performance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009095.lean\",\"733d27b2358bcc61798d492147ad83b3c5b48d886e8b125494964cac5101a2da\",0,\"slope_range\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220947,
+      "path": "data/train/p53/oproofs-s00002-r00009092-n000004-0000-667a19e3ec125230.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "667a19e3ec125230ce991a5dc7332c1262707f3a3f248ba6f57b39d7d99822ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009096-n000004.json b/manifests/batches/oproofs/s00002-r00009096-n000004.json
index 1c5efcff968fb6215da74c83b8b4cb6439ca7f90..02f77dc28d5b2a6fda409536486a2920f870686f 100644
--- a/manifests/batches/oproofs/s00002-r00009096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009096-n000004",
   "batch_fingerprint": "9c23dff863b423ccff06d1145f4733950a01020e0083c202e1cfdfdaaa3bdf02",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009096-n000004-0000-7057923a7196123b.parquet",
-      "sha256": "7057923a7196123b4f21eea946c841b74ba3cf45344d6a6139a742a588be11d5",
-      "bytes": 822326,
-      "rows": 25,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009097.lean\",\"7f18d3d09369ab5edce86540639c290155ff0dc92bc5d2106b662a973c3cee3b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009098.lean\",\"29127d2088f8b5aed8f3c9b041c8c518f40d6d7f3b020fbaba092b99430417f0\",0,\"unique_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009099.lean\",\"58b2e4bfe116679051dc6ba705ef75c37cde33facfb3bb64157723b62f6b5190\",0,\"sum_of_first_nine_terms\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 822326,
+      "path": "data/train/pf5/oproofs-s00002-r00009096-n000004-0000-7057923a7196123b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7057923a7196123b4f21eea946c841b74ba3cf45344d6a6139a742a588be11d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009100-n000004.json b/manifests/batches/oproofs/s00002-r00009100-n000004.json
index 10b1c917eec5077ed51481b9673c34c8a1e32a86..21c649d855f098147997bc9ddda688af1d16f0cb 100644
--- a/manifests/batches/oproofs/s00002-r00009100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009100-n000004",
   "batch_fingerprint": "f036165b4ed1178af3fc23083512912cda7840eb520e070e823b1ad55aaa4d7e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009100-n000004-0000-d0a48bc4e7dd7a96.parquet",
-      "sha256": "d0a48bc4e7dd7a96ffe558687f9c66b8873f6878c5e924a4afdbe3e29f1fbd30",
-      "bytes": 105640,
-      "rows": 13,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009101.lean\",\"1aec852c64d9314e5884752b25b68c3e6b5e00a698ddc3b83a07a3bfd4eaebd4\",0,\"graph_transformation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009102.lean\",\"9c085b2073ea910ae8db46ae6d70d00b4c0e0e505f32aed3fa928b6b34b6b165\",0,\"perimeter_comparison\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009103.lean\",\"f04a523f5d21c0381cd81e0f2e3483b28c5bfaf1e7039ea77665aa1f72896479\",0,\"attendees_not_on_time\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105640,
+      "path": "data/train/p9e/oproofs-s00002-r00009100-n000004-0000-d0a48bc4e7dd7a96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d0a48bc4e7dd7a96ffe558687f9c66b8873f6878c5e924a4afdbe3e29f1fbd30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009104-n000004.json b/manifests/batches/oproofs/s00002-r00009104-n000004.json
index 98b4da469b3de449abef98a6ee1405027c8132d1..83c9977b365e54b67bdcf077624a6af7a69a3fb3 100644
--- a/manifests/batches/oproofs/s00002-r00009104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009104-n000004",
   "batch_fingerprint": "3b4f7be49e5d5cb57fda00dfe9102d550e1692d718ab0b2daed2f07dff820567",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009104-n000004-0000-75c1c3d5aff68094.parquet",
-      "sha256": "75c1c3d5aff68094b42e92a917a4649a6ab408b19a4511ae2c5ac95189a05c2d",
-      "bytes": 1117977,
-      "rows": 20,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009105.lean\",\"1e87d10dac8d9b53f1d3c8433bac826a247da7c125e8fc4de6ea2e93e40e2e20\",0,\"median_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009106.lean\",\"b999b07f595360c7fb1f0cebad56fe161be804d11babc64f4a836787365df326\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009107.lean\",\"f77a3550ba4689491361edc89531ef28b704ba4732d36f60368c347b9870e8e5\",0,\"probability_at_most_one_red_light\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1117977,
+      "path": "data/train/p3b/oproofs-s00002-r00009104-n000004-0000-75c1c3d5aff68094.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "75c1c3d5aff68094b42e92a917a4649a6ab408b19a4511ae2c5ac95189a05c2d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009108-n000004.json b/manifests/batches/oproofs/s00002-r00009108-n000004.json
index 58eea060dde7a5e8de98423da8e15ffdc0eb71a7..adf5f79f4b422275f4611ebba8c46e55cee9b4d1 100644
--- a/manifests/batches/oproofs/s00002-r00009108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009108-n000004",
   "batch_fingerprint": "2dfd1fd1caafa78d92580052429a3eeeb05b4a4802bfedfefa8cca0983ed4b45",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009108-n000004-0000-6b37921be1763f3a.parquet",
-      "sha256": "6b37921be1763f3a4c20b5348240f46e8a5a5b39999a580c3e95298a44e610b4",
-      "bytes": 520420,
-      "rows": 15,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009109.lean\",\"de25d221971251e46c128a18251f349d4f361236cad4510f98f78265561c48a2\",0,\"lean_workbook_plus_12769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009110.lean\",\"00e69589f69d886fd83e69d380ce57611521676db8674ad6d9c7d1c5fe9be8a8\",0,\"lean_workbook_plus_68849\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009111.lean\",\"9b3d46156d37ff1010761a08aa1173ca6ee701c9f6dc88524caf54b3728e2eb7\",0,\"lean_workbook_plus_78102\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 520420,
+      "path": "data/train/p0e/oproofs-s00002-r00009108-n000004-0000-6b37921be1763f3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6b37921be1763f3a4c20b5348240f46e8a5a5b39999a580c3e95298a44e610b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009112-n000004.json b/manifests/batches/oproofs/s00002-r00009112-n000004.json
index 810de85869392cfad3832b3e631809b0f3b9175c..aa0d4cd1764693fc1ce6af6fa8bfd4bf69052155 100644
--- a/manifests/batches/oproofs/s00002-r00009112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009112-n000004",
   "batch_fingerprint": "c78e8edc81c1850a2619b72878481e5fefb1e3239ac3966e0477b66ca66ff8c2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009112-n000004-0000-e6c1cae42e428fda.parquet",
-      "sha256": "e6c1cae42e428fda7bf5c2a8fed98930cb74d77267752f8453d9595f8b76af61",
-      "bytes": 98984,
-      "rows": 10,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009112-n000004-0000-edc1881123b0a46a.parquet",
-      "sha256": "edc1881123b0a46a5397bea3a1a99548b37853568b7c77c8da2daad29cc740a9",
-      "bytes": 42205,
-      "rows": 2,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009113.lean\",\"4b325ea46215d5ff2c08475e348fcf93137554075dadf2aa0c811881bb707147\",0,\"lean_workbook_36761\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009114.lean\",\"f931b3aa4238a550f0d49852d053f9592840d61e0aa37c2d37bf7224d16b59b7\",0,\"lean_workbook_plus_65812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009115.lean\",\"6aefb3da69154bb3cd44ed7470762082cda94d746b45e86fb933d81da46a510c\",0,\"vector_computation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98984,
+      "path": "data/train/p48/oproofs-s00002-r00009112-n000004-0000-e6c1cae42e428fda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e6c1cae42e428fda7bf5c2a8fed98930cb74d77267752f8453d9595f8b76af61"
+    },
+    {
+      "bytes": 42205,
+      "path": "data/internal_test/p48/oproofs-s00002-r00009112-n000004-0000-edc1881123b0a46a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "edc1881123b0a46a5397bea3a1a99548b37853568b7c77c8da2daad29cc740a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009116-n000004.json b/manifests/batches/oproofs/s00002-r00009116-n000004.json
index 4e99f784ed5f12074c495009bcbc804690d0b98f..4ab68a94b0b916dc1b831131c0b23ebea0e0dbda 100644
--- a/manifests/batches/oproofs/s00002-r00009116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009116-n000004",
   "batch_fingerprint": "ad7ff39dc3d811e3242ba337392a34855054e3b44e3f6782a3fc5993f698d494",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009116-n000004-0000-f8655c00ddfa2479.parquet",
-      "sha256": "f8655c00ddfa2479464ea92c165f405eee73e08587607140b7da2a019039f0b5",
-      "bytes": 252001,
-      "rows": 17,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009117.lean\",\"1af7c9fd2ddb38767b344e823586547ac6d269089cffb248631f2737cff7fbeb\",0,\"teacher_wu_location_and_steps\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009118.lean\",\"3d3b20dab9d65388a9f185b9f556289924462fba414dd5e247852b2441ce9ab2\",0,\"lean_workbook_plus_60759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009119.lean\",\"ca9fff3ca1376491bec5a804a7cdfb38959ea46fec8043bb44c31fe21067c5b1\",0,\"lean_workbook_plus_37938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252001,
+      "path": "data/train/p50/oproofs-s00002-r00009116-n000004-0000-f8655c00ddfa2479.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f8655c00ddfa2479464ea92c165f405eee73e08587607140b7da2a019039f0b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009120-n000004.json b/manifests/batches/oproofs/s00002-r00009120-n000004.json
index e6d8ed9446a1b0a222ee6ccb6910fc07fcf2e172..4ad4d83458c7c0475f59f40adcac3b4508663272 100644
--- a/manifests/batches/oproofs/s00002-r00009120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009120-n000004",
   "batch_fingerprint": "509745502c5f231e48056690c1eb9cd77f4fa8709b3ab8d0d28b77af57768f23",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009120-n000004-0000-59cd56ba9cad6e74.parquet",
-      "sha256": "59cd56ba9cad6e74788aecc648e596525fdb5064bbe5d6116d6f889e13195ab3",
-      "bytes": 245654,
-      "rows": 30,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009120-n000004-0000-1d0af773497cedf1.parquet",
-      "sha256": "1d0af773497cedf1b584c88427f9bfd8868ec64905ee55575effba358538ac2a",
-      "bytes": 89816,
-      "rows": 5,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009121.lean\",\"83c0e09aa93ea1dc6be913a9f072d3b37f7223063ac93dd40f6a0a0253e9e50b\",0,\"lean_workbook_plus_72154\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009122.lean\",\"db882c38dc6aec273145ec2fbb28779f568820ef404f850d4681295d6905103d\",0,\"bobby_paycheck\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009123.lean\",\"4e8b33b035f99802b027d3148aee791e37f9f9a44948495e1ee81b822c4c21ab\",0,\"arithmetic_mean_minimizes_sum_of_squares\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245654,
+      "path": "data/train/pe9/oproofs-s00002-r00009120-n000004-0000-59cd56ba9cad6e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "59cd56ba9cad6e74788aecc648e596525fdb5064bbe5d6116d6f889e13195ab3"
+    },
+    {
+      "bytes": 89816,
+      "path": "data/internal_test/pe9/oproofs-s00002-r00009120-n000004-0000-1d0af773497cedf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1d0af773497cedf1b584c88427f9bfd8868ec64905ee55575effba358538ac2a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009124-n000004.json b/manifests/batches/oproofs/s00002-r00009124-n000004.json
index 2843aff18a785c85585c753be5764104ce7570bd..565c4f13516e423c563547519c242ea46356840f 100644
--- a/manifests/batches/oproofs/s00002-r00009124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009124-n000004",
   "batch_fingerprint": "cccaf81513f60d2030e5efb16225926c0fe5ab2fb74297e24c74dbcb8ce58ea0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009124-n000004-0000-11a5a4200d3001a6.parquet",
-      "sha256": "11a5a4200d3001a635716c2f0b405a8898ce1965c35439d5b4765786ee358d61",
-      "bytes": 198890,
-      "rows": 24,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009124-n000004-0000-78b637e1e4f240e3.parquet",
-      "sha256": "78b637e1e4f240e3bc4625e2131bf5371982b49c155e72b4c595681548872aec",
-      "bytes": 242184,
-      "rows": 6,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009125.lean\",\"75137164abb142fefeca63281e281262160f35b1242ac257350b86a956d84163\",0,\"rectangle_square_area_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009126.lean\",\"84d5ca7b89f253546136bcfd0b755a2d67c3eff3ee7aa4e7fc9ed77b0d10a82c\",0,\"f_value_at_2023_over_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009127.lean\",\"b379ebe7c689ca806d3ace0542cd9c4d363b81d81de42958aa8a6d36062fb521\",0,\"lean_workbook_plus_14299\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198890,
+      "path": "data/train/p60/oproofs-s00002-r00009124-n000004-0000-11a5a4200d3001a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "11a5a4200d3001a635716c2f0b405a8898ce1965c35439d5b4765786ee358d61"
+    },
+    {
+      "bytes": 242184,
+      "path": "data/dev/p60/oproofs-s00002-r00009124-n000004-0000-78b637e1e4f240e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "78b637e1e4f240e3bc4625e2131bf5371982b49c155e72b4c595681548872aec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009128-n000004.json b/manifests/batches/oproofs/s00002-r00009128-n000004.json
index c597f31c6ba504df12c8b5ede0f1314afea932b0..9c501d57699df363a605129f67c701dd1ef334d1 100644
--- a/manifests/batches/oproofs/s00002-r00009128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009128-n000004",
   "batch_fingerprint": "0aa444cf893ae929ea3fd6bb91f5c15ee47f05f8f085251a1285b6734ea5fd1c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009128-n000004-0000-e6f4e00809155cbb.parquet",
-      "sha256": "e6f4e00809155cbbecbc0ec88f4b03db9a56653ea121b6fa8a622a67e803794b",
-      "bytes": 165873,
-      "rows": 10,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009128-n000004-0000-d7903bf1e4cd02ff.parquet",
-      "sha256": "d7903bf1e4cd02ff1d98cdbe177fdd3e00dd85b5e592a8f97e216e6bad072f42",
-      "bytes": 64169,
-      "rows": 4,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009129.lean\",\"54f85dc7cd530ddaee343f683fbbfcaca51b7c37a1a5bffdfb267abf0233f648\",0,\"prop_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009130.lean\",\"0d9312f59c4b922a715b28e4955eb63b3d993dcd5263a18666ebd07d9ad5703a\",0,\"min_value_on_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009131.lean\",\"0292bf57b5a21cbf522d72b86bd0fd07b5590a404c868a1d95d20bf160d338e2\",0,\"simple_interest_to_compound_interest_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165873,
+      "path": "data/train/p06/oproofs-s00002-r00009128-n000004-0000-e6f4e00809155cbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e6f4e00809155cbbecbc0ec88f4b03db9a56653ea121b6fa8a622a67e803794b"
+    },
+    {
+      "bytes": 64169,
+      "path": "data/dev/p06/oproofs-s00002-r00009128-n000004-0000-d7903bf1e4cd02ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d7903bf1e4cd02ff1d98cdbe177fdd3e00dd85b5e592a8f97e216e6bad072f42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009132-n000004.json b/manifests/batches/oproofs/s00002-r00009132-n000004.json
index d184e33f739cb51faefe5e3d65d8634e69a717f1..c6bdd27d6a66b6ae57bc32bd7a6e6f35374274c0 100644
--- a/manifests/batches/oproofs/s00002-r00009132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009132-n000004",
   "batch_fingerprint": "ee68b8ec41c96de40e3afba7083961941e7b3f74e41b4417abb412679dcfc115",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009132-n000004-0000-7d16cef3dddce70b.parquet",
-      "sha256": "7d16cef3dddce70b4b87d0ed7e5f43d9b8fff38a9bae7ece086f65f167e46da9",
-      "bytes": 194067,
-      "rows": 20,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009132-n000004-0000-8908b3f68ef090ef.parquet",
-      "sha256": "8908b3f68ef090efbaf30f83315c8a4770c83a338b57902051a2a0e24ad731c5",
-      "bytes": 214483,
-      "rows": 6,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009133.lean\",\"af0e0d1222602b6d038a92a712165b575446d04e4ceb6bf71912c323df5f9e33\",0,\"area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009134.lean\",\"e1998fcba65e417689df21b82d34738422c42010e3a403208eba4b00061f5e39\",0,\"max_abs_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009135.lean\",\"5cc92f969fe9340308d490f2b56ab9dcffea5c746350ae93e5cdfbb5ece8a3dc\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194067,
+      "path": "data/train/pef/oproofs-s00002-r00009132-n000004-0000-7d16cef3dddce70b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7d16cef3dddce70b4b87d0ed7e5f43d9b8fff38a9bae7ece086f65f167e46da9"
+    },
+    {
+      "bytes": 214483,
+      "path": "data/internal_test/pef/oproofs-s00002-r00009132-n000004-0000-8908b3f68ef090ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8908b3f68ef090efbaf30f83315c8a4770c83a338b57902051a2a0e24ad731c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009136-n000004.json b/manifests/batches/oproofs/s00002-r00009136-n000004.json
index a32f14a47ec0b373432eb3f2cea22d31c83aac0b..9ae0f9dd6a85c146999a2879c954b9c817feb1cd 100644
--- a/manifests/batches/oproofs/s00002-r00009136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009136-n000004",
   "batch_fingerprint": "3bc07692e5f2ec53628942a49c82871c7286dfae6a4176db2e1f17166f147a23",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009136-n000004-0000-16eb228db9bd904b.parquet",
-      "sha256": "16eb228db9bd904bbcd303ca5b6402c8dacf655143f09c1ca3ea2d5dc621fc0d",
-      "bytes": 250706,
-      "rows": 17,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009136-n000004-0000-7df0b4f0c7a3e9c5.parquet",
-      "sha256": "7df0b4f0c7a3e9c50fa3778a6bea55341d5c8ebf7993836e54492ad4342efe43",
-      "bytes": 96300,
-      "rows": 2,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009137.lean\",\"cd3a7415bfd6a52fefda04ee23d90bcfcaf35be5ea0b091074b65340a8de86d8\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009138.lean\",\"481a42aecb5ea3049293e5ff8e48fc2eabee3aa0089739373f90f87b49cdd5e4\",0,\"sum_of_squares_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009139.lean\",\"5e756587239e2250cacc2890d49f159de910249e303d694a7f8c42ca9043421e\",0,\"magnitude_of_z\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250706,
+      "path": "data/train/p3a/oproofs-s00002-r00009136-n000004-0000-16eb228db9bd904b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "16eb228db9bd904bbcd303ca5b6402c8dacf655143f09c1ca3ea2d5dc621fc0d"
+    },
+    {
+      "bytes": 96300,
+      "path": "data/internal_test/p3a/oproofs-s00002-r00009136-n000004-0000-7df0b4f0c7a3e9c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7df0b4f0c7a3e9c50fa3778a6bea55341d5c8ebf7993836e54492ad4342efe43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009140-n000004.json b/manifests/batches/oproofs/s00002-r00009140-n000004.json
index c16248a3af7cbd37c173d52a1e3e58f86087c6bf..f5ec216ebd0e8ac1dfea04eee7d9e5fbd6f33cf1 100644
--- a/manifests/batches/oproofs/s00002-r00009140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009140-n000004",
   "batch_fingerprint": "fe2feb23ff6a5b84f556867c71f4f8fd8e1ce174f31969e6f2a46e7f9a6d6a12",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009140-n000004-0000-f5aebcdbd0181e0e.parquet",
-      "sha256": "f5aebcdbd0181e0e2c4f49c4f62d3220a6f5318a75849f0e0edf09c972e74ed4",
-      "bytes": 345888,
-      "rows": 20,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009141.lean\",\"a9f78b16119ee7e3a23ac461c5337a00199a9fc0776534c738917c6d254ac570\",0,\"correct_statements\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009142.lean\",\"d75b61fe1176179d87af878220f48bd553e6ab9cf00ecbf7b9ff81ebd45b458e\",0,\"even_and_monotone_on_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009143.lean\",\"893bf46280677f869f636922e52d3631dc9269629f71b6e4bb90d2f3eb96fbe0\",0,\"part_I\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345888,
+      "path": "data/train/p62/oproofs-s00002-r00009140-n000004-0000-f5aebcdbd0181e0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "f5aebcdbd0181e0e2c4f49c4f62d3220a6f5318a75849f0e0edf09c972e74ed4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009144-n000004.json b/manifests/batches/oproofs/s00002-r00009144-n000004.json
index 168e72902ecc83321830486c4aac769d4170893f..5b535968f1398e3c6c962130294cd548d1fe9c5d 100644
--- a/manifests/batches/oproofs/s00002-r00009144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009144-n000004",
   "batch_fingerprint": "52466bd234f5280aa6cefe132b1acd8853dea67a2b2569db34e270a5f0c374a4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009144-n000004-0000-655a12029939737d.parquet",
-      "sha256": "655a12029939737dbfee71ccd2bc70afc764366b7d937878420d3eff5a97530d",
-      "bytes": 253917,
-      "rows": 12,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009144-n000004-0000-ebd497aba6b6f8f4.parquet",
-      "sha256": "ebd497aba6b6f8f4ef0dbb602684991f2a48980a90250879c14a4acb0f216203",
-      "bytes": 120548,
-      "rows": 4,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009145.lean\",\"ca14c9ddd3759ba1b310f7c7eb8b3b4b4855d8292a774f3d52440850bd979a72\",0,\"five_consecutive_odd_integers_product_93555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009146.lean\",\"110f769f6eadd36f99916842f0061b175a968ecefce2366474535597258e085b\",0,\"area_of_right_triangle_with_45_deg_angles\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009147.lean\",\"7e507753f63aea450b5cf83b7eecd88ada5679b4af82951490866db957f21ac0\",0,\"vendor_throws_away_half\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253917,
+      "path": "data/train/p65/oproofs-s00002-r00009144-n000004-0000-655a12029939737d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "655a12029939737dbfee71ccd2bc70afc764366b7d937878420d3eff5a97530d"
+    },
+    {
+      "bytes": 120548,
+      "path": "data/internal_test/p65/oproofs-s00002-r00009144-n000004-0000-ebd497aba6b6f8f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ebd497aba6b6f8f4ef0dbb602684991f2a48980a90250879c14a4acb0f216203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009148-n000004.json b/manifests/batches/oproofs/s00002-r00009148-n000004.json
index 85c3ae716a1af362bf3ed5f3a9b0c99f0098897d..33eebd64859d6e23b6bc677535b5ac1e743d7cdb 100644
--- a/manifests/batches/oproofs/s00002-r00009148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009148-n000004",
   "batch_fingerprint": "fe0e8b3f5dca23036accd6658dd264b5a5d7165b3eed218b23951cd016157369",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009148-n000004-0000-b75aa5cbfffbabd1.parquet",
-      "sha256": "b75aa5cbfffbabd12e3601c72d8067aaed9403f3fe55323594bf27fe4ad1cbc9",
-      "bytes": 326142,
-      "rows": 18,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009148-n000004-0000-50c81bfa82d42813.parquet",
-      "sha256": "50c81bfa82d42813b6d146ad3002ecda31520be70506b22a9344d294f34cc65b",
-      "bytes": 125571,
-      "rows": 3,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009149.lean\",\"0ef39f16838512e80c371253c119856396accc5f071c256f81deffbb7c75349a\",0,\"soldier_shooting_performance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009150.lean\",\"87fb1d486064565e239675e53a91792f76f055d9634eeeee60938f1c4fcd398e\",0,\"problem_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009151.lean\",\"f51c212105baa6ba0d52ae1fb9ad0768becbe761e8182860ce60ad1c9ebec5ee\",0,\"limit_expression\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326142,
+      "path": "data/train/p20/oproofs-s00002-r00009148-n000004-0000-b75aa5cbfffbabd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "b75aa5cbfffbabd12e3601c72d8067aaed9403f3fe55323594bf27fe4ad1cbc9"
+    },
+    {
+      "bytes": 125571,
+      "path": "data/dev/p20/oproofs-s00002-r00009148-n000004-0000-50c81bfa82d42813.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "50c81bfa82d42813b6d146ad3002ecda31520be70506b22a9344d294f34cc65b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009152-n000004.json b/manifests/batches/oproofs/s00002-r00009152-n000004.json
index 04511ed482abc5724cb6112844eee8768379063f..b0936930224e2d278382d44d5f3f706d0a5fd02f 100644
--- a/manifests/batches/oproofs/s00002-r00009152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009152-n000004",
   "batch_fingerprint": "f7563f652aaa8d89c64d3ff4dc2dd729f09b110359275b6fea770b9a0a0021f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009152-n000004-0000-73ef44fe74ec9d79.parquet",
-      "sha256": "73ef44fe74ec9d79c366d73c51b4ed55db3e380fbd75d38f5b45fdcaac953c65",
-      "bytes": 562588,
-      "rows": 18,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009153.lean\",\"6216fe3b90d4b08afdd36b917382a56045bf0f52d8aeadb19624994b7298db7f\",0,\"new_york_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009154.lean\",\"d8cfb9a00cebcec10f2d83d61a784c6cec82d2d41ecc0b4f63c87dbdda273193\",0,\"unique_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009155.lean\",\"5da75b1517d6031c163d1198299bc49ed8d61badb850938099df8e52f3b53d8d\",0,\"graph_transformation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 562588,
+      "path": "data/train/pfb/oproofs-s00002-r00009152-n000004-0000-73ef44fe74ec9d79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "73ef44fe74ec9d79c366d73c51b4ed55db3e380fbd75d38f5b45fdcaac953c65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009156-n000004.json b/manifests/batches/oproofs/s00002-r00009156-n000004.json
index de0097b9724a7754fde54b2902dac163ccbe0e2d..7aef03108e6d4c203ab8c4140b7ddd896089a2ac 100644
--- a/manifests/batches/oproofs/s00002-r00009156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009156-n000004",
   "batch_fingerprint": "2d1aed9731c59b5e050c83c4a843d0f525c8bdbf1d031f5d715f495dd62f9a43",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009156-n000004-0000-89fb08ecaf12b629.parquet",
-      "sha256": "89fb08ecaf12b629b6891aee4c63cce18b29c6828579eb522abef23a3af3cf20",
-      "bytes": 264749,
-      "rows": 13,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009157.lean\",\"d322f5e723af8d261a7788446bd855577898e8c9b335373c5cccd734270822d8\",0,\"max_product\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009158.lean\",\"50a2a491b2d87e8c26df629bab42b75d005519a9bdf5fec4ec8cc7c2287583fe\",0,\"total_sampling_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009159.lean\",\"8b38eea7246e788e04c3fb90bebe143f00def37ecdcac1a9c6c69e9e67cb6e8d\",0,\"probability_at_most_one_red_light\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264749,
+      "path": "data/train/p6f/oproofs-s00002-r00009156-n000004-0000-89fb08ecaf12b629.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "89fb08ecaf12b629b6891aee4c63cce18b29c6828579eb522abef23a3af3cf20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009160-n000004.json b/manifests/batches/oproofs/s00002-r00009160-n000004.json
index 9b2a65e4fc6a8e3c8b475b76fb33a8e40b06e4cb..2a195952df384a19e5bbbf59ac3534784bdb1ae1 100644
--- a/manifests/batches/oproofs/s00002-r00009160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009160-n000004",
   "batch_fingerprint": "5c8222f908bda44d89dcc4a74cb27947c9de5c33e377b7a7a20d3608e9892f3d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009160-n000004-0000-ed38bf018da19432.parquet",
-      "sha256": "ed38bf018da19432f69056ffb120459729d5d18ff2c15c8dba1f7ace3ccda2e6",
-      "bytes": 1045010,
-      "rows": 20,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009161.lean\",\"564a5ef06fac6cb7cda5384f2defe6b9f1e6e0dfd002fa013fc2e5d0b84affbb\",0,\"lean_workbook_plus_38928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009162.lean\",\"f4a683e15333f477d43028dd87a867913672e122bc34518cbf7e20d40da7c86b\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009163.lean\",\"34b0e98241bf5bd63dc5e002bde1b3a217131f8b159f570dd4429b00ac0a7cc6\",0,\"problem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1045010,
+      "path": "data/train/p17/oproofs-s00002-r00009160-n000004-0000-ed38bf018da19432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ed38bf018da19432f69056ffb120459729d5d18ff2c15c8dba1f7ace3ccda2e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009164-n000004.json b/manifests/batches/oproofs/s00002-r00009164-n000004.json
index 5b40d36b25b25195178495c21943497d612afc30..f983cb1811c89ac56a5ad64b2472dd735b16736f 100644
--- a/manifests/batches/oproofs/s00002-r00009164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009164-n000004",
   "batch_fingerprint": "1376c0f12d4934d6c4289c96220dd5bfd0b9683fb4dc639d314d6f1d1ae7b36a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009164-n000004-0000-98020fe0f1f92047.parquet",
-      "sha256": "98020fe0f1f9204718ef7eff42e46e400edf0f74406160f0f1e440d9cc85e055",
-      "bytes": 189323,
-      "rows": 25,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009164-n000004-0000-29d7be440009de49.parquet",
-      "sha256": "29d7be440009de4947986330e499f72ffaa577ae97259acbbe689a68c5feec44",
-      "bytes": 90080,
-      "rows": 6,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009165.lean\",\"cc61124f4bb58b146144861797c9ceabc39fc6d42528c35720675a89c9f95b7c\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009166.lean\",\"ae2cc98d3a99757fbd1760211fd303992cc4b159d4abec30c9110a432e417e1c\",0,\"sum_infinite_series\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009167.lean\",\"ac3546dfe8a1b57ded877e2ac7d0b254f444f99853d0655eec1f50fbe3cfa3ac\",0,\"distance_to_plane\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189323,
+      "path": "data/train/p2d/oproofs-s00002-r00009164-n000004-0000-98020fe0f1f92047.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "98020fe0f1f9204718ef7eff42e46e400edf0f74406160f0f1e440d9cc85e055"
+    },
+    {
+      "bytes": 90080,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00009164-n000004-0000-29d7be440009de49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "29d7be440009de4947986330e499f72ffaa577ae97259acbbe689a68c5feec44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009168-n000004.json b/manifests/batches/oproofs/s00002-r00009168-n000004.json
index 68dbb9390d69555dcd002261ae8d590478b2a7b0..f64faee51b159febe06a03b279a59f0b57b3d9b7 100644
--- a/manifests/batches/oproofs/s00002-r00009168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009168-n000004",
   "batch_fingerprint": "3a4ae146786a754ef06664391a32f259ed99c164ff76b95a0ee063bcc5cbc53d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009168-n000004-0000-8143699414892dec.parquet",
-      "sha256": "8143699414892dec453177998d8f0369f348118f4187ed567aa6a2e796733523",
-      "bytes": 204181,
-      "rows": 16,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009169.lean\",\"46cbfb202c69fff522b4e40c01ad579bf6ba23eaa2cb08523d38b5ebf9dc2d83\",0,\"lean_workbook_plus_28420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009170.lean\",\"96490dc478ebca659a0236a46f165505d10dee4a5f0fcec32031aec6061e1760\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009171.lean\",\"e07a670ce1a075c6bd85abb71f367477c8c720cc234fca4a88b7f065cff84020\",0,\"lean_workbook_plus_14175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204181,
+      "path": "data/train/p07/oproofs-s00002-r00009168-n000004-0000-8143699414892dec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8143699414892dec453177998d8f0369f348118f4187ed567aa6a2e796733523"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009172-n000004.json b/manifests/batches/oproofs/s00002-r00009172-n000004.json
index 73cbf1290e0f6686b4688b8bf1bb974797bd71af..a99f9e9906dca1084cc39e807fcd9aaad49bfa06 100644
--- a/manifests/batches/oproofs/s00002-r00009172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009172-n000004",
   "batch_fingerprint": "12626087ed93793fdd09df85931a7d72ab232f4696922ee64cb3511af32ab3d4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009172-n000004-0000-0107c295f3664f9b.parquet",
-      "sha256": "0107c295f3664f9b7d42db94a412489ad14961390d6b88b8db2c4dedb4942f44",
-      "bytes": 434450,
-      "rows": 24,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009172-n000004-0000-10858a02c31dbd1c.parquet",
-      "sha256": "10858a02c31dbd1cb6087a862ed7f0fa050a73eee1dd1a06f826c250acd4a956",
-      "bytes": 126615,
-      "rows": 5,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009173.lean\",\"b217aca04998c87efef0844f5eeda3fc56b85bb913d9994475cce3ee6e075447\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009174.lean\",\"443a71a3c8ec4f4fefe965d04b1f51667f878825dc4d07fd365a2b46091b94bb\",0,\"lean_workbook_plus_40847\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009175.lean\",\"d5e966f3cce487ebaceb7ccd18d3882e1077aac114300ba642b5d171f7958784\",0,\"lean_workbook_plus_67603\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 434450,
+      "path": "data/train/p51/oproofs-s00002-r00009172-n000004-0000-0107c295f3664f9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0107c295f3664f9b7d42db94a412489ad14961390d6b88b8db2c4dedb4942f44"
+    },
+    {
+      "bytes": 126615,
+      "path": "data/internal_test/p51/oproofs-s00002-r00009172-n000004-0000-10858a02c31dbd1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "10858a02c31dbd1cb6087a862ed7f0fa050a73eee1dd1a06f826c250acd4a956"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009176-n000004.json b/manifests/batches/oproofs/s00002-r00009176-n000004.json
index d188823db5fe15642316ac71bcf87997d4b6881e..7a4f854508682dd58078665385e462883e50ea98 100644
--- a/manifests/batches/oproofs/s00002-r00009176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009176-n000004",
   "batch_fingerprint": "cf4c2a5ac6b52d7b529552358fabcf8835174ab72680914cdae31f1f20869482",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009176-n000004-0000-f0e8b3c96ed17b4b.parquet",
-      "sha256": "f0e8b3c96ed17b4bea136adc8b91e39a223708e2ca0cc782f7c498d953a0eddb",
-      "bytes": 195153,
-      "rows": 14,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9177",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009177.lean\",\"6d5171118e165a39d22ce283bf1e9cae67fa0c8bed697eec7404d7746d59a183\",0,\"lean_workbook_plus_67556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009178.lean\",\"292b1ee058313097b29b9fc5c8a29bc76fc266684623a004eff5225bd61607de\",0,\"lean_workbook_plus_65760\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009179.lean\",\"e0cd5c505951a7877f73ee23a8d3ba89499e4ee6a5d1ca04affa36e93aeb65e2\",0,\"lean_workbook_plus_28598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195153,
+      "path": "data/train/p90/oproofs-s00002-r00009176-n000004-0000-f0e8b3c96ed17b4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f0e8b3c96ed17b4bea136adc8b91e39a223708e2ca0cc782f7c498d953a0eddb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009180-n000004.json b/manifests/batches/oproofs/s00002-r00009180-n000004.json
index 639d70d8e1641eeb15eecc54b706ee6358e0c297..afbf7d7e3d643814ea31dd358e673f892cae9023 100644
--- a/manifests/batches/oproofs/s00002-r00009180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009180-n000004",
   "batch_fingerprint": "a5bb0c5430b715e6c4b356e7a9cc9c43058d6d5e02d2b224a17ea21257518322",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009180-n000004-0000-4eb61a4f670db9f4.parquet",
-      "sha256": "4eb61a4f670db9f4a578dd8802d0baf1f563de03ffa1df6d725f3f147d1d241f",
-      "bytes": 248167,
-      "rows": 13,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009181.lean\",\"a6287395ff7a626368eceaf7a0c0b16192c98caa11169dcc8de83db7c3d05232\",0,\"lean_workbook_plus_46225\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009182.lean\",\"935749c826b4b5a37666a4c725a8e95aaa443783841d7e26c3751b994f879d86\",0,\"lean_workbook_plus_10179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009183.lean\",\"f05e6339b515b888200416e1b3a83305b330cfc779529764a2fc935d29f21f8f\",0,\"lean_workbook_13525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248167,
+      "path": "data/train/pd4/oproofs-s00002-r00009180-n000004-0000-4eb61a4f670db9f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4eb61a4f670db9f4a578dd8802d0baf1f563de03ffa1df6d725f3f147d1d241f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009184-n000004.json b/manifests/batches/oproofs/s00002-r00009184-n000004.json
index 088410e6238740d33e84fc9dae3d290705b64cd4..91a2ff409ff1d03c0385f596d769d1b6fe024cb6 100644
--- a/manifests/batches/oproofs/s00002-r00009184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009184-n000004",
   "batch_fingerprint": "0d864cac4f4288df55276bb2a3fb7dfd92f9153e47b9cb45a3e8159f6a20d5fb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009184-n000004-0000-0d05ce042e96599e.parquet",
-      "sha256": "0d05ce042e96599e669c03265ec9c15bc87ee82bf41faebd5e98939740343019",
-      "bytes": 305467,
-      "rows": 16,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009185.lean\",\"1e068242c7c76bfe5a2ae3cfd599df4e7a7559c85c8118bb7999072496fb9972\",0,\"lean_workbook_plus_21375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009186.lean\",\"921b1ad30275ec2ed66beaa2828fef2ff38696a054779cc5dd2f721ad456ec08\",0,\"lean_workbook_plus_12790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009187.lean\",\"f726d91c13c8bd66ee5bde48bb01f3e37f73e909982a5a0fc257a12270149aa2\",0,\"lean_workbook_plus_58784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305467,
+      "path": "data/train/pa9/oproofs-s00002-r00009184-n000004-0000-0d05ce042e96599e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0d05ce042e96599e669c03265ec9c15bc87ee82bf41faebd5e98939740343019"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009188-n000004.json b/manifests/batches/oproofs/s00002-r00009188-n000004.json
index 3630b79dbb4fb53d1688faa245818ab423f6eed3..e86bbe4fe17f01d9d0e93022292105e6cad55531 100644
--- a/manifests/batches/oproofs/s00002-r00009188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009188-n000004",
   "batch_fingerprint": "7a156e3485c4fdc7eae6b5c964fcb330a1af8e16bf0e18ada6e59926b51d13d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009188-n000004-0000-ed88cbddde2adb60.parquet",
-      "sha256": "ed88cbddde2adb60bcda206dc9b100f807a581f2e5dc60f1cfa0c6194b8a5752",
-      "bytes": 295183,
-      "rows": 28,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009189.lean\",\"48f0d975d950f745e19f90981456ff275c75179fbe59e979500314424daea910\",0,\"lean_workbook_plus_30955\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009190.lean\",\"fec254531ca24df129a486211fd798e267b5032254f695e250cebc809881371c\",0,\"lean_workbook_plus_17631\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009191.lean\",\"6f662599e13f0d6a25f9d29223dcc28a26d821dee04a751a3adbd82e96fa7fa5\",0,\"probability_sin_cos_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295183,
+      "path": "data/train/p0c/oproofs-s00002-r00009188-n000004-0000-ed88cbddde2adb60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "ed88cbddde2adb60bcda206dc9b100f807a581f2e5dc60f1cfa0c6194b8a5752"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009192-n000004.json b/manifests/batches/oproofs/s00002-r00009192-n000004.json
index ef4b8bb83528a8243677ff6cafb7b35bffeb2d82..35723ae95ba2a5540b59aa2b0de44ee6c759aeca 100644
--- a/manifests/batches/oproofs/s00002-r00009192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009192-n000004",
   "batch_fingerprint": "cfbef0dae37c61173aaf301afc48dde12b9ec8aad13dcdf21b9f83639eae661e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009192-n000004-0000-2bce081f47c0f61b.parquet",
-      "sha256": "2bce081f47c0f61ba331dfc0f5152985264ff0688f7f93da720a91e47f307e47",
-      "bytes": 304400,
-      "rows": 22,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009193.lean\",\"cadc3cf54f4233a7bb55333c454b2b86dc1f185c9c3aad48d05979e4047a9b1b\",0,\"geometric_sequence_max_term\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009194.lean\",\"efc2e362407b0d0209972b4867902f4eecaed56f557f44c8f8e4833a9b0b3cbb\",0,\"lean_workbook_plus_31601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009195.lean\",\"c465b1980a33313468e0330df5cffa87bb751ad7a182172dd1851524129bdce5\",0,\"lean_workbook_plus_29611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304400,
+      "path": "data/train/pa2/oproofs-s00002-r00009192-n000004-0000-2bce081f47c0f61b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2bce081f47c0f61ba331dfc0f5152985264ff0688f7f93da720a91e47f307e47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009196-n000004.json b/manifests/batches/oproofs/s00002-r00009196-n000004.json
index 95293df71eb77a19ff9a73370088ecdf494032c2..0d9b6eafef53d26f24c962d3316f87fbc63b540b 100644
--- a/manifests/batches/oproofs/s00002-r00009196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009196-n000004",
   "batch_fingerprint": "00d7b903a700ef44a074afa3521a2f828bc5839a92a8c1b083f7263fa195dd77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009196-n000004-0000-0458d4cf24b61dc7.parquet",
-      "sha256": "0458d4cf24b61dc7bd6d047ecd242503286ca2baaf3af6dc3a8d5769f3794030",
-      "bytes": 263192,
-      "rows": 15,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009196-n000004-0000-014461dff30d1236.parquet",
-      "sha256": "014461dff30d1236ddb5d4f3e2bcd96aa5cd2cac62bd6beb16310aa003f02808",
-      "bytes": 59782,
-      "rows": 3,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9197",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009197.lean\",\"563c1596316973c86082f1dd3f137ec1b0ef04a7308b26da4c648cb5004c14e1\",0,\"wrestling_points_max\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009198.lean\",\"1852ff3d75672f938e22437d720af8b7001f68a90c09a506301abf829caef84d\",0,\"lean_workbook_48726\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009199.lean\",\"8e0902f1311acec79ec112970ee4e971f7406e850acf7d31deafafd5b2a6a596\",0,\"lean_workbook_plus_67342\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263192,
+      "path": "data/train/pc7/oproofs-s00002-r00009196-n000004-0000-0458d4cf24b61dc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0458d4cf24b61dc7bd6d047ecd242503286ca2baaf3af6dc3a8d5769f3794030"
+    },
+    {
+      "bytes": 59782,
+      "path": "data/internal_test/pc7/oproofs-s00002-r00009196-n000004-0000-014461dff30d1236.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "014461dff30d1236ddb5d4f3e2bcd96aa5cd2cac62bd6beb16310aa003f02808"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009200-n000004.json b/manifests/batches/oproofs/s00002-r00009200-n000004.json
index f859611f7510a816989e933ac432cc7135e4ef64..3e5965bd5933a7bc2e1d0f4f96621d8b36683576 100644
--- a/manifests/batches/oproofs/s00002-r00009200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009200-n000004",
   "batch_fingerprint": "09a504b13335126b5bffd0302f829ea1830144a68a686c1f6f916910155e8f36",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000009/oproofs-s00002-r00009200-n000004-0000-71661f2bfeb616b9.parquet",
-      "sha256": "71661f2bfeb616b9ce264e79a965c94dbe939e10f7991561c9154d9635e68db2",
-      "bytes": 280431,
-      "rows": 12,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9201",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9202",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009201.lean\",\"73e4ddbbf06bd3a6f72c37956a8c49a21bc99724b48d9032285c677a88bace3e\",0,\"lean_workbook_plus_56583\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009202.lean\",\"2d3774201f8772a5b901ecd51bf7a5c70d65df8541afcea8b28275b675618dab\",0,\"lean_workbook_plus_36477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009203.lean\",\"e8fcc80fccf14b290b77427e8843411a9ac42d0518529944ed2647cedc10d71b\",0,\"lean_workbook_plus_65480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280431,
+      "path": "data/train/p29/oproofs-s00002-r00009200-n000004-0000-71661f2bfeb616b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "71661f2bfeb616b9ce264e79a965c94dbe939e10f7991561c9154d9635e68db2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009204-n000004.json b/manifests/batches/oproofs/s00002-r00009204-n000004.json
index 6612b404090fabd477228c017fee12faf3bc7114..5f2df15795e3fd43b0696cc66e638c174318b3e3 100644
--- a/manifests/batches/oproofs/s00002-r00009204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009204-n000004",
   "batch_fingerprint": "627ca92cda67221c1d8351c9e447672d6733145538d4887d4094516a29f04cd5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009204-n000004-0000-a3c8df96b5fef42d.parquet",
-      "sha256": "a3c8df96b5fef42dc2f42b4081dcd70a9421496723544f195f14420a5ca88720",
-      "bytes": 220633,
-      "rows": 16,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009204-n000004-0000-83f9cba9064845a9.parquet",
-      "sha256": "83f9cba9064845a986eba7a991e6fe84af3ce8860f7d3d418416502331a87dbe",
-      "bytes": 141988,
-      "rows": 3,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009205.lean\",\"76be1bcf79380fc4d3a8498f0d36149b17e2cc6a7df7072a8b858244a8449f3c\",0,\"lean_workbook_plus_62073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009206.lean\",\"8841abd9176d4ba6cb1ebb9b689ca4d7861041524a1bc5496a2a0707ff851737\",0,\"lean_workbook_plus_67919\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009207.lean\",\"f148174a8ac55d0521f89f510d40eb8b6d06b7618ee522df65f947ca30501366\",0,\"lean_workbook_plus_54825\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 220633,
+      "path": "data/train/p33/oproofs-s00002-r00009204-n000004-0000-a3c8df96b5fef42d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a3c8df96b5fef42dc2f42b4081dcd70a9421496723544f195f14420a5ca88720"
+    },
+    {
+      "bytes": 141988,
+      "path": "data/internal_test/p33/oproofs-s00002-r00009204-n000004-0000-83f9cba9064845a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "83f9cba9064845a986eba7a991e6fe84af3ce8860f7d3d418416502331a87dbe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009208-n000004.json b/manifests/batches/oproofs/s00002-r00009208-n000004.json
index 1eb3dd8614158a82f7342ab3c50f43c85c7e12c0..78aec15efa7f51fc0bb38c91f0420f71753f5207 100644
--- a/manifests/batches/oproofs/s00002-r00009208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009208-n000004",
   "batch_fingerprint": "81a7d94b91ba265eed54b4ca6e40df2bbd480d8e83ad065f5809843b5026f51f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9208",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9209",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9210",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9211"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009208.lean\",\"1d1c9e9ca1baa56318581d7ec9716ded2909c65ed198cc83fd2e1929c13e6274\",0,\"lean_workbook_plus_55866\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009209.lean\",\"990729e304733b71ab295f651e4d9d37ed640a4753aa097d95afb0cb9d0fecc4\",0,\"algebra_simplification\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009210.lean\",\"ea6b91c869bb2cc709d9bea94b0decb687d23cefc8d203a6e85e3d64007269ee\",0,\"lean_workbook_plus_27830\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009211.lean\",\"73f63a211b78abf2bfb4cf4e666f5d2e47504d2d90f54d88a946fe3f4f29da38\",0,\"lean_workbook_plus_14504\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009208-n000004-0000-83c1726351508b65.parquet",
-      "sha256": "83c1726351508b659a98eda0b8574427f92cd213c21a36c5e538a2d67e389b67",
       "bytes": 153847,
+      "path": "data/train/p08/oproofs-s00002-r00009208-n000004-0000-83c1726351508b65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
+      "sha256": "83c1726351508b659a98eda0b8574427f92cd213c21a36c5e538a2d67e389b67"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009208-n000004-0000-7cdda775dacdcdd5.parquet",
-      "sha256": "7cdda775dacdcdd5cd7725e3384a2207c03810ad8bbb036680a57bfb8108178b",
       "bytes": 109893,
+      "path": "data/dev/p08/oproofs-s00002-r00009208-n000004-0000-7cdda775dacdcdd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
+      "sha256": "7cdda775dacdcdd5cd7725e3384a2207c03810ad8bbb036680a57bfb8108178b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009208-n000004-0000-e4b3fb73ebbaf72e.parquet",
-      "sha256": "e4b3fb73ebbaf72e244228b4abcc207b4d61fcaf65ee26a600fb831d45f3761c",
       "bytes": 51311,
+      "path": "data/internal_test/p08/oproofs-s00002-r00009208-n000004-0000-e4b3fb73ebbaf72e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e568c31534a351dd70388c12d7ea8f2a41226f3b"
+      "sha256": "e4b3fb73ebbaf72e244228b4abcc207b4d61fcaf65ee26a600fb831d45f3761c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9208",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9209",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9210",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9211"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009208.lean\",\"1d1c9e9ca1baa56318581d7ec9716ded2909c65ed198cc83fd2e1929c13e6274\",0,\"lean_workbook_plus_55866\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009209.lean\",\"990729e304733b71ab295f651e4d9d37ed640a4753aa097d95afb0cb9d0fecc4\",0,\"algebra_simplification\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009210.lean\",\"ea6b91c869bb2cc709d9bea94b0decb687d23cefc8d203a6e85e3d64007269ee\",0,\"lean_workbook_plus_27830\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009211.lean\",\"73f63a211b78abf2bfb4cf4e666f5d2e47504d2d90f54d88a946fe3f4f29da38\",0,\"lean_workbook_plus_14504\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009212-n000004.json b/manifests/batches/oproofs/s00002-r00009212-n000004.json
index 263280f17690a0afbe8bf08b2fa3a36aa37add9c..d5e13f41046c4975c8cef7243aea1d001a042f11 100644
--- a/manifests/batches/oproofs/s00002-r00009212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009212-n000004",
   "batch_fingerprint": "cc88b6e882ca3c3944f0390e715259c1ac32e47732fbba326695101f93e851bb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009212-n000004-0000-a99ebddf7cba8a29.parquet",
-      "sha256": "a99ebddf7cba8a29d41bf2183515c0d55c649fdcc241f9da823b00ddd2d0c462",
-      "bytes": 466563,
-      "rows": 17,
-      "revision": "d2ed745ff55bd30d4f7a39510165b661ed1d6c91"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009213.lean\",\"69978d58f1bf7585058753fc511a535154143477fad206f7d6c11e4671da62af\",0,\"lean_workbook_plus_32496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009214.lean\",\"fb9a4996a4cb59b4049ed76b9e4bf7a22b2186b52ddd706816ac676c5ef0dece\",0,\"lean_workbook_37519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009215.lean\",\"b995134fc81c82a4d336eb6320103b735bde4d95acd467866531fe0b7db7e38d\",0,\"lean_workbook_plus_61983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466563,
+      "path": "data/train/pa0/oproofs-s00002-r00009212-n000004-0000-a99ebddf7cba8a29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a99ebddf7cba8a29d41bf2183515c0d55c649fdcc241f9da823b00ddd2d0c462"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009216-n000004.json b/manifests/batches/oproofs/s00002-r00009216-n000004.json
index 183c2c870afd794e4fc11bce2b39f3b4379a984a..87de121a027eeb99bd48ca9af228a78bf98fd9f7 100644
--- a/manifests/batches/oproofs/s00002-r00009216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009216-n000004",
   "batch_fingerprint": "d8f93e28389bf6610c73ea9cbbecdcd3e285b4884f411c73f54fec928adcbb83",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009216-n000004-0000-408e00ec78b14642.parquet",
-      "sha256": "408e00ec78b14642cd7407fbee0e7a7ac4c49304d4b922254a15ec1aa22732c6",
-      "bytes": 191673,
-      "rows": 8,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009216-n000004-0000-75b64df4bdaedaae.parquet",
-      "sha256": "75b64df4bdaedaae627d75c9d31207022caf5a885ee1319ba37eb5f6c35e68b5",
-      "bytes": 60710,
-      "rows": 4,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009217.lean\",\"05e5f70e1b2556b87b84766a5195d8e9627e0cc07362857bc9446c027a5ee38b\",0,\"lean_workbook_plus_62312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009218.lean\",\"b271630c9a7c0cd00874e2799cec052444252f0cb009eb4e7425c6b59a56daa6\",0,\"lean_workbook_plus_50812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009219.lean\",\"dbbe740fb2a247f96acd24ea2dffc08163762ff2ffbf23689b24a6d33d525ea0\",0,\"lean_workbook_plus_56704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191673,
+      "path": "data/train/p20/oproofs-s00002-r00009216-n000004-0000-408e00ec78b14642.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "408e00ec78b14642cd7407fbee0e7a7ac4c49304d4b922254a15ec1aa22732c6"
+    },
+    {
+      "bytes": 60710,
+      "path": "data/internal_test/p20/oproofs-s00002-r00009216-n000004-0000-75b64df4bdaedaae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "75b64df4bdaedaae627d75c9d31207022caf5a885ee1319ba37eb5f6c35e68b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009220-n000004.json b/manifests/batches/oproofs/s00002-r00009220-n000004.json
index 59364ccb0791a9198639a5d1c1004cb2e2998e15..130fd0bcb5f5fc7cee8fababccb17c18560c9a85 100644
--- a/manifests/batches/oproofs/s00002-r00009220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009220-n000004",
   "batch_fingerprint": "0ced9ab8c4d188a8bb0038ec71884ad591b7dc77ba7d47272de0425b5495edd0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009220-n000004-0000-a41d1189eb2b79f4.parquet",
-      "sha256": "a41d1189eb2b79f4776f69b6e9119b3de37bfb13eb01e75da67c95d1d19fe2cd",
-      "bytes": 152294,
-      "rows": 15,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009221.lean\",\"e457aaf1a4d01232c54389b0424acd063b21a62df3d2fe1046b09f8d4f278ddc\",0,\"lean_workbook_plus_54962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009222.lean\",\"2987c98c3a3fc758e6fe2836a2cecc936bb9cd282ccee86ce2bb87bcb6cff1bf\",0,\"lean_workbook_plus_28918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009223.lean\",\"192ba32e74eabc5c39059f1adc02ae4e8be9ea26565e7253c23b487d59d0c40f\",0,\"lean_workbook_14712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152294,
+      "path": "data/train/pbe/oproofs-s00002-r00009220-n000004-0000-a41d1189eb2b79f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a41d1189eb2b79f4776f69b6e9119b3de37bfb13eb01e75da67c95d1d19fe2cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009224-n000004.json b/manifests/batches/oproofs/s00002-r00009224-n000004.json
index 0688213c84f3c106bf9a7e0ad8f7fb6d506d3bb5..c83d61d37305ae5cebf439910268822a9cab7226 100644
--- a/manifests/batches/oproofs/s00002-r00009224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009224-n000004",
   "batch_fingerprint": "ac37a7fa529ab48ecf1c746551de6862bf62600e1138ac03ab08bd7cbacde6d2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009224-n000004-0000-f6ecc251e49fb048.parquet",
-      "sha256": "f6ecc251e49fb0482b7a2de12890efe06ee0d9819346c9179bc1eaf57a1ad276",
-      "bytes": 222452,
-      "rows": 22,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009225.lean\",\"9261e7942fbdfa109bae96ca5bf4c146d2877053b782fa0ce6037bf8bede74ec\",0,\"lean_workbook_36240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009226.lean\",\"ce6f108410fbeac7860ec667d7844ab7d902a544e655f8f8250948846dce9768\",0,\"lean_workbook_plus_56439\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009227.lean\",\"2fa8df85399a0b0bafd95f13e25d2eecae6ee4cef49332af95d0de40589961ba\",0,\"lean_workbook_plus_20048\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222452,
+      "path": "data/train/p17/oproofs-s00002-r00009224-n000004-0000-f6ecc251e49fb048.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f6ecc251e49fb0482b7a2de12890efe06ee0d9819346c9179bc1eaf57a1ad276"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009228-n000004.json b/manifests/batches/oproofs/s00002-r00009228-n000004.json
index 87a00b0bde588590a825e70874550876e6a8b88b..d25831327dffba728593b924a1b3bcead6c5327b 100644
--- a/manifests/batches/oproofs/s00002-r00009228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009228-n000004",
   "batch_fingerprint": "c580045191cb47e061b35e320337b902677bae2eaebab0f2d92846ad94f5ccfd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009228-n000004-0000-49a458485b973de4.parquet",
-      "sha256": "49a458485b973de44904820f2a7e1de4851256c3f413cb98daad2b4db2b5bc10",
-      "bytes": 348998,
-      "rows": 18,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009228-n000004-0000-12741e01c6bf500b.parquet",
-      "sha256": "12741e01c6bf500ba1f5fdf08d4aeec4de2fb2c5f86cd4f40ee13586c7438ad5",
-      "bytes": 328883,
-      "rows": 16,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009229.lean\",\"6673d6d7cfea600db2771ee2b1ffd6b9dee39bcaf9fb7b8b10ffc90187c7ff9d\",0,\"lean_workbook_49715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009230.lean\",\"5ed96f0f43bf8a0590c11417d9abd0c91a958efccfa6231f8c3650bdcadac0ad\",0,\"log_comparison\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009231.lean\",\"23cce65401aa8f1b7a379fffa835a610b880c21dc20ff4f99e1a7a91a3098e34\",0,\"score_average_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348998,
+      "path": "data/train/p79/oproofs-s00002-r00009228-n000004-0000-49a458485b973de4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "49a458485b973de44904820f2a7e1de4851256c3f413cb98daad2b4db2b5bc10"
+    },
+    {
+      "bytes": 328883,
+      "path": "data/internal_test/p79/oproofs-s00002-r00009228-n000004-0000-12741e01c6bf500b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "12741e01c6bf500ba1f5fdf08d4aeec4de2fb2c5f86cd4f40ee13586c7438ad5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009232-n000004.json b/manifests/batches/oproofs/s00002-r00009232-n000004.json
index db06ec5d88bff496ea0f0c66d956a91ad7e687a5..f64967dabd13c2ac85ab38bf3b4c7414a2db4428 100644
--- a/manifests/batches/oproofs/s00002-r00009232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009232-n000004",
   "batch_fingerprint": "3da4e0073ac4ceab270e61555714ae722f779e787028c1b3b02227d6070c3062",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009232-n000004-0000-be9c5798c9c33220.parquet",
-      "sha256": "be9c5798c9c332204a59b2510724a8c5555dd8279b00a6005994203682d9357e",
-      "bytes": 98658,
-      "rows": 12,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009233.lean\",\"0e2c51bea4f111a9851b836b802c42c65a64675ac87f2a494f9d92c64fcff60d\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009234.lean\",\"50e9e0de6effcda017f635454834e3f202705c6e328038769261a3b8cec03afd\",0,\"chinese_gcd_algorithm\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009235.lean\",\"8689cb6062cfde32746898fdffb8d69f9e9e1ed5dcaefd577c48dd3fc5975501\",0,\"sum_infinite_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98658,
+      "path": "data/train/p85/oproofs-s00002-r00009232-n000004-0000-be9c5798c9c33220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "be9c5798c9c332204a59b2510724a8c5555dd8279b00a6005994203682d9357e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009236-n000004.json b/manifests/batches/oproofs/s00002-r00009236-n000004.json
index 4cd7a970e21d7ab34693e82f221822f9cde2fc31..468d9090c49e2024da7e0ecefdae0dc676c704b2 100644
--- a/manifests/batches/oproofs/s00002-r00009236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009236-n000004",
   "batch_fingerprint": "e36dffd4038daeb392f2c705542b7b49a104eee3dddc8d587a0da3134db3a62a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009236-n000004-0000-7a486df5b9f362bc.parquet",
-      "sha256": "7a486df5b9f362bc161631e80859a26e16568aa8365df7c4ac9f03d9db41086e",
-      "bytes": 206419,
-      "rows": 18,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009237.lean\",\"c3eb9d335c1dad32e27f8b27b4b8663cde985a58c61ee26caebe503b3919c7e0\",0,\"lean_workbook_41224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009238.lean\",\"3783de4becaba38168a73aaf3a23bd800c229d3fd26fb3efb9e0474f07a0427f\",0,\"lean_workbook_plus_28420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009239.lean\",\"53f69908a6b876cc54acb0a7f046f732d272970829a530c00f23f1e8bc188320\",0,\"lean_workbook_plus_14175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206419,
+      "path": "data/train/p95/oproofs-s00002-r00009236-n000004-0000-7a486df5b9f362bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "7a486df5b9f362bc161631e80859a26e16568aa8365df7c4ac9f03d9db41086e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009240-n000004.json b/manifests/batches/oproofs/s00002-r00009240-n000004.json
index 92e6e88e07d9fd2cb6b65c224f74a9ed27dee026..af343aaa47324f5e8d0433ce3d3322a19714c9fb 100644
--- a/manifests/batches/oproofs/s00002-r00009240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009240-n000004",
   "batch_fingerprint": "41182618e6e265a81b878e271419c5dc8beeca8196a4d2580e52768b5289998f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009240-n000004-0000-e3228bc4868bb8dd.parquet",
-      "sha256": "e3228bc4868bb8dd28d3af68175faa1c233e2a27a652500e7d2adfbb3bf38e55",
-      "bytes": 70153,
-      "rows": 8,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009240-n000004-0000-e41e40db0d8f592e.parquet",
-      "sha256": "e41e40db0d8f592edba459fe88eac228fe884e251e62edb958f7fb2ee462a48a",
-      "bytes": 164197,
-      "rows": 6,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009241.lean\",\"286e73fa4ced2ec8b76d80a1e2aa7cc38d21d019b26b9a72e451e2efedc5bc59\",0,\"lean_workbook_plus_71671\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009242.lean\",\"d78ac71a81575cc1c61dd46c3542215fc7063964e64c407a081061be94e50312\",0,\"shaded_area_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009243.lean\",\"a1fcc7255310549060d3bd0bb1a13db04c85e5702746b59aa2539a7a27fa76f8\",0,\"lean_workbook_plus_40847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70153,
+      "path": "data/train/p0a/oproofs-s00002-r00009240-n000004-0000-e3228bc4868bb8dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e3228bc4868bb8dd28d3af68175faa1c233e2a27a652500e7d2adfbb3bf38e55"
+    },
+    {
+      "bytes": 164197,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00009240-n000004-0000-e41e40db0d8f592e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e41e40db0d8f592edba459fe88eac228fe884e251e62edb958f7fb2ee462a48a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009244-n000004.json b/manifests/batches/oproofs/s00002-r00009244-n000004.json
index b40e125e1e16026575d21d6bc26a87a6d733b110..f8300c3160cb7e99b8f16960ca524524a775ab9d 100644
--- a/manifests/batches/oproofs/s00002-r00009244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009244-n000004",
   "batch_fingerprint": "ecc5d2995876f60150bd7da0d164b1986701f78f8555e7af5030c4a62c111423",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009244-n000004-0000-a9e6920049a781a3.parquet",
-      "sha256": "a9e6920049a781a30670e776dd0511130ca20ea1714fa3d2ce848e14282c326d",
-      "bytes": 182245,
-      "rows": 12,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009244-n000004-0000-e0c07c1721607e65.parquet",
-      "sha256": "e0c07c1721607e651485cd3715730df7b9b4737c4a47153fd217aeb6dd09c212",
-      "bytes": 106380,
-      "rows": 8,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9245",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009245.lean\",\"2b99f919abec820bae0b55a3ff924a40dbe0f379392c16647a50b6a14fb0a367\",0,\"lean_workbook_52773\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009246.lean\",\"7413ee99ab46402a2e8ca987646cc01f9dfc0d55536342c9b6133a55b435ef59\",0,\"lean_workbook_plus_67603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009247.lean\",\"2a3e66f9c67a7be758124434d9cae4b97f9fac162a050976d2ffc4f15b869d67\",0,\"lean_workbook_plus_54859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182245,
+      "path": "data/train/p14/oproofs-s00002-r00009244-n000004-0000-a9e6920049a781a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a9e6920049a781a30670e776dd0511130ca20ea1714fa3d2ce848e14282c326d"
+    },
+    {
+      "bytes": 106380,
+      "path": "data/dev/p14/oproofs-s00002-r00009244-n000004-0000-e0c07c1721607e65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e0c07c1721607e651485cd3715730df7b9b4737c4a47153fd217aeb6dd09c212"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009248-n000004.json b/manifests/batches/oproofs/s00002-r00009248-n000004.json
index 035570d5075b0c9e2cefe28b54b076fea01481c1..e1362205f37d250f2fbd98f94cbdf41bca25e90a 100644
--- a/manifests/batches/oproofs/s00002-r00009248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009248-n000004",
   "batch_fingerprint": "edd72565b41d56c2c02bb33e87d5cfff85256fb0fa469044366b026d33567db5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009248-n000004-0000-b99b04f9d101be3d.parquet",
-      "sha256": "b99b04f9d101be3d52ff4ea5eb374322ef73ed2743d86bd202854a8269597812",
-      "bytes": 491074,
-      "rows": 22,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009249.lean\",\"e9f19dc60a4a85d69e484390501058959bec0c8564c3d533ffc6fa8fb856f278\",0,\"lean_workbook_plus_10179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009250.lean\",\"d523b988f59b5326bf05758eae67b8d4a6ebb5ad8f3313bba5de245ad0738804\",0,\"lean_workbook_plus_46225\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009251.lean\",\"0d6abce76e0648ac69bec5af04d05575aea659f425555a4939f7e93e57f60a26\",0,\"lean_workbook_13525\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 491074,
+      "path": "data/train/pcf/oproofs-s00002-r00009248-n000004-0000-b99b04f9d101be3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b99b04f9d101be3d52ff4ea5eb374322ef73ed2743d86bd202854a8269597812"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009252-n000004.json b/manifests/batches/oproofs/s00002-r00009252-n000004.json
index 5578f434536074f0ed1d23bfcbb4509d6dfbc368..59cdaddd8ae224e094612bb849e97f0f6cf9b434 100644
--- a/manifests/batches/oproofs/s00002-r00009252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009252-n000004",
   "batch_fingerprint": "8b27ae47d03c1e976b247b074c6079719d3618645cf363d526f162817b33e70b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009252-n000004-0000-2e8ab72b78d1c70b.parquet",
-      "sha256": "2e8ab72b78d1c70b55512ef2f3d3224c29ebcefc1b3bd50b5a0f44af7b2bbc28",
-      "bytes": 170366,
-      "rows": 12,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009253.lean\",\"3f0262156fb04ace93a4ffc1f96577877948f2345974c9079347579e197f0478\",0,\"lean_workbook_plus_21375\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009254.lean\",\"4874f13ec0dc1c628d32e3f0febd4ce9b6b548d93e11b630cce71bb5706539ee\",0,\"lean_workbook_plus_12790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009255.lean\",\"88096834d6dc0bbbdd8b638db4f618ca819044b7fdf47c99a14e67948fb5ca84\",0,\"lean_workbook_plus_58784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170366,
+      "path": "data/train/p1c/oproofs-s00002-r00009252-n000004-0000-2e8ab72b78d1c70b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "2e8ab72b78d1c70b55512ef2f3d3224c29ebcefc1b3bd50b5a0f44af7b2bbc28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009256-n000004.json b/manifests/batches/oproofs/s00002-r00009256-n000004.json
index 37455c0fe4c22c572723a6a9be7dbe3bd3c6b6c3..0b6e2d6a34107bb6cb1cf87a6c809b4ecba1ba77 100644
--- a/manifests/batches/oproofs/s00002-r00009256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009256-n000004",
   "batch_fingerprint": "3f9345f2ef4c36272435570173f6b5fc30bf8033aa7022532de6d0069c389854",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009256-n000004-0000-ce885fb0aabcda48.parquet",
-      "sha256": "ce885fb0aabcda48f3a7445c45456f3c610763353ab58e33210599481112657e",
-      "bytes": 252427,
-      "rows": 18,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009256-n000004-0000-27234644c8faeafb.parquet",
-      "sha256": "27234644c8faeafba7a835924353af19e3d9de23ba575b9600c82742e83f33ac",
-      "bytes": 39011,
-      "rows": 3,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009257.lean\",\"d9ee1a4f73ea99f84f521416e01be20f1a6210d0119216f5551ff697ec8312c4\",0,\"probability_sin_cos_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009258.lean\",\"0db4f900f5b8638aa89362c70b943a60a4fd0f3b957a9aeff87582d81ac4624b\",0,\"lean_workbook_plus_58059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009259.lean\",\"aa7cf9d7efd364da08c938bbd624495dff60599d83c0acbb68768e5df6cfd026\",0,\"lean_workbook_plus_30955\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252427,
+      "path": "data/train/p65/oproofs-s00002-r00009256-n000004-0000-ce885fb0aabcda48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ce885fb0aabcda48f3a7445c45456f3c610763353ab58e33210599481112657e"
+    },
+    {
+      "bytes": 39011,
+      "path": "data/dev/p65/oproofs-s00002-r00009256-n000004-0000-27234644c8faeafb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "27234644c8faeafba7a835924353af19e3d9de23ba575b9600c82742e83f33ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009260-n000004.json b/manifests/batches/oproofs/s00002-r00009260-n000004.json
index 3af56d249285b52654920baeecf6b543a58581f5..919522667aa07b8f3afbe8e9036257d516f7a967 100644
--- a/manifests/batches/oproofs/s00002-r00009260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009260-n000004",
   "batch_fingerprint": "1b86201c05f4e7c502a2fc6af1ba477bbd79c5dffde94a02c860dba740b53a22",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009260-n000004-0000-b1150c9ed726635f.parquet",
-      "sha256": "b1150c9ed726635fb3ec2dceed0929b660c6b422a4e35c6896e42d523693072e",
-      "bytes": 171234,
-      "rows": 17,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009260-n000004-0000-c528a129eaf209f5.parquet",
-      "sha256": "c528a129eaf209f50221283937b0260fb9671f3bdaf6ee6cd59e94665202277f",
-      "bytes": 104237,
-      "rows": 4,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009261.lean\",\"4739648ffca3e8c422220ff0140d67b876cbe48ab8f534e2e35698085053ba11\",0,\"wrestling_points_max\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009262.lean\",\"8765bfb63146be573320a3d831be8ee9563175c7895d701a0ad49ffee579e5ef\",0,\"lean_workbook_plus_18648\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009263.lean\",\"3b2a38aaa7806c8523cb06f4c8a2b40fe5344f6d120826ecbb351962c883e225\",0,\"lean_workbook_plus_31601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171234,
+      "path": "data/train/p35/oproofs-s00002-r00009260-n000004-0000-b1150c9ed726635f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b1150c9ed726635fb3ec2dceed0929b660c6b422a4e35c6896e42d523693072e"
+    },
+    {
+      "bytes": 104237,
+      "path": "data/dev/p35/oproofs-s00002-r00009260-n000004-0000-c528a129eaf209f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c528a129eaf209f50221283937b0260fb9671f3bdaf6ee6cd59e94665202277f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009264-n000004.json b/manifests/batches/oproofs/s00002-r00009264-n000004.json
index 6a16040d93af54b362bdb21435a4b81793d39afc..0605b81b88ba26ba0ddef4652716c37dd4c6a552 100644
--- a/manifests/batches/oproofs/s00002-r00009264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009264-n000004",
   "batch_fingerprint": "0fac96c0e7e621862d0da9a9f53f7f8165626e1ae7cc08d4c671dd628df70d7b",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000009/oproofs-s00002-r00009264-n000004-0000-b320fb78c8e01502.parquet",
-      "sha256": "b320fb78c8e01502ff822791e8778abb2a40e2e4e667b1ef170b033c925a52ba",
-      "bytes": 317468,
-      "rows": 16,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9266",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009264.lean\",\"991830c44a7ca105699b6d807a382b68dda68c675ec032f2929b35f497ed6813\",0,\"lean_workbook_plus_67342\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009266.lean\",\"135af29466627addcebc2d28a1972de94dd363d37eccf0bfe28b807171a1c674\",0,\"lean_workbook_plus_56583\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009267.lean\",\"43b7ed11856e5e37d1e8940c802a5b7a9fd12235033f47b508a46733947aab84\",0,\"lean_workbook_48726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317468,
+      "path": "data/train/p80/oproofs-s00002-r00009264-n000004-0000-b320fb78c8e01502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b320fb78c8e01502ff822791e8778abb2a40e2e4e667b1ef170b033c925a52ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009268-n000004.json b/manifests/batches/oproofs/s00002-r00009268-n000004.json
index b8c8019ba4e4c8dc549a8ba0cb134db97fdbd743..ea3bc9695d9101c87ad1880e6c6520f7e445fd1b 100644
--- a/manifests/batches/oproofs/s00002-r00009268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009268-n000004",
   "batch_fingerprint": "340230b2ab2bfdae8df4f7f442917640cd315d4817d373a6699143ca6b6cc03a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009268-n000004-0000-30806ec210634d70.parquet",
-      "sha256": "30806ec210634d70efc9c4c995d3489e2e6a943cb0d89abf70b4bf3a14110ad6",
-      "bytes": 249140,
-      "rows": 19,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009269.lean\",\"6c9f7cce85bda9798daeb8b9d788ea802dbd9e9aefdb98b160f56329a44cb9ec\",0,\"lean_workbook_plus_62073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009270.lean\",\"a64d23bbe4630a5eb4e518da563148f9bf7ea9db1f32a86666908c79a778a0d7\",0,\"lean_workbook_plus_44693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009271.lean\",\"6999156416ea36cecf49a8df1bd7e700c5db167fea5dbb738d8cca705ec8cf11\",0,\"lean_workbook_plus_67919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249140,
+      "path": "data/train/pa1/oproofs-s00002-r00009268-n000004-0000-30806ec210634d70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "30806ec210634d70efc9c4c995d3489e2e6a943cb0d89abf70b4bf3a14110ad6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009272-n000004.json b/manifests/batches/oproofs/s00002-r00009272-n000004.json
index 76905ca9df122bec99a1c223b4e65b82a9f098a9..89fe55bef80acbfd7ef3452d91a923f68bd419cc 100644
--- a/manifests/batches/oproofs/s00002-r00009272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009272-n000004",
   "batch_fingerprint": "3a7fdd90b6ea8b04986e2005d2819ccf31c20294fd0fd74eb5aee877672d0773",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009272-n000004-0000-7eb13717a7b95b0e.parquet",
-      "sha256": "7eb13717a7b95b0e99d6cc3a804e71ef008ea23212899924f78e720f05b43c21",
-      "bytes": 115902,
-      "rows": 8,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009272-n000004-0000-4bdcf3d65d73348a.parquet",
-      "sha256": "4bdcf3d65d73348a4df5ebfab09f3d3b17a2cf5a4cd2ece1dcdba563510a50b4",
-      "bytes": 140059,
-      "rows": 7,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9273",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009273.lean\",\"abac738490cde538795a09cc299f1a4857887023e7ecebce25e3bdd4654cda02\",0,\"lean_workbook_plus_54825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009274.lean\",\"7ecc72f04cf8b311ccf43a133a339c83a3c1f0bad5e9a77a1d7cbc13fc5c8647\",0,\"lean_workbook_plus_14504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009275.lean\",\"2dfef5614afbb499d84261a115b55ee6884c74a9ecb8d245de01f11e67a8bc93\",0,\"lean_workbook_plus_70043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115902,
+      "path": "data/train/p5a/oproofs-s00002-r00009272-n000004-0000-7eb13717a7b95b0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7eb13717a7b95b0e99d6cc3a804e71ef008ea23212899924f78e720f05b43c21"
+    },
+    {
+      "bytes": 140059,
+      "path": "data/internal_test/p5a/oproofs-s00002-r00009272-n000004-0000-4bdcf3d65d73348a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4bdcf3d65d73348a4df5ebfab09f3d3b17a2cf5a4cd2ece1dcdba563510a50b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009276-n000004.json b/manifests/batches/oproofs/s00002-r00009276-n000004.json
index bbdaf33cf26803874ead010ca0e29068bc7eb639..05c99032d120054dd7f8366d1693b327953cc389 100644
--- a/manifests/batches/oproofs/s00002-r00009276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009276-n000004",
   "batch_fingerprint": "a0f3f0fd4d20e9ef00666aec0ad6614c1bd53a696efba75a04bd1af20488da9b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009276-n000004-0000-babf3742fed8920e.parquet",
-      "sha256": "babf3742fed8920eab05c05b3953204cddf42fa29611682dcd6322d1c3a9235a",
-      "bytes": 110159,
-      "rows": 10,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009276-n000004-0000-4ffdaad83f5f1374.parquet",
-      "sha256": "4ffdaad83f5f137459245453bb421afa859106cf79bdf58191287b1a517a3f1e",
-      "bytes": 83211,
-      "rows": 5,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009277.lean\",\"3d51ead3d3ec1566688c00a362b38eb430468bb4b94f980ac22be6ee8f03ae7a\",0,\"lean_workbook_plus_61983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009278.lean\",\"f6658c7e328ded01dc911e995954756bee57c5d8309b12361bd34a981cc661e4\",0,\"lean_workbook_plus_72252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009279.lean\",\"445eac6c362cfadac9f98bbc1c0746110231763188271da9475b4df1c0e3beeb\",0,\"lean_workbook_plus_50812\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110159,
+      "path": "data/train/pb8/oproofs-s00002-r00009276-n000004-0000-babf3742fed8920e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "babf3742fed8920eab05c05b3953204cddf42fa29611682dcd6322d1c3a9235a"
+    },
+    {
+      "bytes": 83211,
+      "path": "data/internal_test/pb8/oproofs-s00002-r00009276-n000004-0000-4ffdaad83f5f1374.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4ffdaad83f5f137459245453bb421afa859106cf79bdf58191287b1a517a3f1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009280-n000004.json b/manifests/batches/oproofs/s00002-r00009280-n000004.json
index e3b8a737c045eb32e93fe7436f3334278c28f2eb..91b8e592ff3f09a614660f7eef4530f0729f9054 100644
--- a/manifests/batches/oproofs/s00002-r00009280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009280-n000004",
   "batch_fingerprint": "59a993880728d64c7d4be79a0b870305a9d875c4b386b5254afeca72f9d49376",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009280-n000004-0000-01ad76b9a72998bc.parquet",
-      "sha256": "01ad76b9a72998bccea3d904f2fe7c71d6be76a00eb88f1f1f6e9d3bff4469cb",
-      "bytes": 200201,
-      "rows": 12,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009281.lean\",\"439b56e65cb28d86402b4a16502ceac483aa3f9f57d5c182dc3ffb12ecea50b2\",0,\"lean_workbook_plus_62312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009282.lean\",\"72f2d6590e31027caa145b20bcbc9a981ee46e241a07991d08812a4d9018e355\",0,\"lean_workbook_plus_31886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009283.lean\",\"8dfdef4ec1c6971dcee30a457e1b5eb09add3433f23b53da5bc452bbd1f6e71f\",0,\"lean_workbook_plus_54962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200201,
+      "path": "data/train/pe6/oproofs-s00002-r00009280-n000004-0000-01ad76b9a72998bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "01ad76b9a72998bccea3d904f2fe7c71d6be76a00eb88f1f1f6e9d3bff4469cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009284-n000004.json b/manifests/batches/oproofs/s00002-r00009284-n000004.json
index 4c50ab6df21be51ad67cda2675cae016d8904951..f18fe922a9598106997f798505d0a863c4b07b2c 100644
--- a/manifests/batches/oproofs/s00002-r00009284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009284-n000004",
   "batch_fingerprint": "0ceb7e228165bfe1a08da8114dd6dbbf3650ab57c9c1fe45e831d5b9b41c1bc9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009284-n000004-0000-d2cc7b2af4281a04.parquet",
-      "sha256": "d2cc7b2af4281a04177aa3e3ab02ec2bf2d213ec3d501a43f340af8bfd2163f8",
-      "bytes": 315436,
-      "rows": 18,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009285.lean\",\"ecd78b4ba3c0fe00f0cfb332e2765b688f1031bd8950ce41fb4971e6675ad0e6\",0,\"lean_workbook_plus_65745\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009286.lean\",\"c17c83410cf4f8b93a38f4d51fa8be601843048ac946f6ac18cb0cb0fc0fb52a\",0,\"lean_workbook_plus_28918\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009287.lean\",\"391819b6931b9029bc3a4c51efa232ad96ca0bad92f4e3ddb7617936f68f7570\",0,\"lean_workbook_14712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315436,
+      "path": "data/train/pcd/oproofs-s00002-r00009284-n000004-0000-d2cc7b2af4281a04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d2cc7b2af4281a04177aa3e3ab02ec2bf2d213ec3d501a43f340af8bfd2163f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009288-n000004.json b/manifests/batches/oproofs/s00002-r00009288-n000004.json
index 46640d1473ea2752b5b6cd0b68ec9fcc3e75c73f..082c6e861c2fcb300974db4cd11251f76a95627f 100644
--- a/manifests/batches/oproofs/s00002-r00009288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009288-n000004",
   "batch_fingerprint": "14a3df92b2f1a1f395f71016969b7e499ef46c9546cc60c78dc05b3903dce630",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009288-n000004-0000-e6ccdce0fc51ff80.parquet",
-      "sha256": "e6ccdce0fc51ff8087ec165e0b8f7b4137a8ae80e3f5dba8729f9382d42ad71e",
-      "bytes": 568614,
-      "rows": 28,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009289.lean\",\"4b9794a7db867496752ac8758f2ed72b351e66b2f768c189bf16553ebbccdeb9\",0,\"lean_workbook_plus_30086\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009290.lean\",\"871d52230ff0b4004d954fe86f87aad32ce8947750b7b5f81ee8b19580c9df8e\",0,\"lean_workbook_plus_56439\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009291.lean\",\"ebf40e12b81ee90594c8a2e6a89a56feec6520f661be7406b455fc0c3316b670\",0,\"trapezoid_segment_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 568614,
+      "path": "data/train/p0c/oproofs-s00002-r00009288-n000004-0000-e6ccdce0fc51ff80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "e6ccdce0fc51ff8087ec165e0b8f7b4137a8ae80e3f5dba8729f9382d42ad71e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009292-n000004.json b/manifests/batches/oproofs/s00002-r00009292-n000004.json
index 09b151e887ebfecf2231bab8041669128ebf9f10..2da0160c3e621c5a757135aec1f8115e8f601254 100644
--- a/manifests/batches/oproofs/s00002-r00009292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009292-n000004",
   "batch_fingerprint": "9021c9fc262e04bb04d4bd43738f4349bcb30fc330c6a4805fdb25fc56270e4d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009292-n000004-0000-24601977b06306e6.parquet",
-      "sha256": "24601977b06306e6b1c8b407841a1f42a97806e2053848172f987f59e5ac0005",
-      "bytes": 465273,
-      "rows": 26,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009293.lean\",\"de305dbfe035f795e115097391817739de1f0b74ad1953946202647dfb81f073\",0,\"lean_workbook_plus_20048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009294.lean\",\"eca818e794589a36a13591546e64e2a06fb741f339b0edc50dfa13fc22b980de\",0,\"lean_workbook_49715\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009295.lean\",\"e737d5efef396b2e4ec5508fcc6d3d7625d6419d08fcf2496d57990c632e5a66\",0,\"lean_workbook_28583\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465273,
+      "path": "data/train/p5f/oproofs-s00002-r00009292-n000004-0000-24601977b06306e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "24601977b06306e6b1c8b407841a1f42a97806e2053848172f987f59e5ac0005"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009296-n000004.json b/manifests/batches/oproofs/s00002-r00009296-n000004.json
index ffa269b4ab75e1045a034670f09d9748e65e7351..19ffbec34d5e759a7557a87f3263f8065028200e 100644
--- a/manifests/batches/oproofs/s00002-r00009296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009296-n000004",
   "batch_fingerprint": "da1b0951fc54e1121c133a88a29273b5a5ac69010f3c05dead370867fad63e54",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009296-n000004-0000-95356999b7fcf959.parquet",
-      "sha256": "95356999b7fcf9597b2c3a8806a592124ec2821234547292b881661273ed94e1",
-      "bytes": 365081,
-      "rows": 14,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009297.lean\",\"2c349b45075b7eecdf217ec2f7554f404518ccd6e829b79082dd19a5561cf4e3\",0,\"lean_workbook_16492\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009298.lean\",\"ffa82ff73f0196a26096e795563874ce62a4dbae02c2a6b91fe9ba14c56e1ef8\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009299.lean\",\"0c8444e5fcc8fa2614ff57e5c73db13ade059b77b51c7c9d99d6850316cd0e44\",0,\"sum_infinite_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365081,
+      "path": "data/train/p30/oproofs-s00002-r00009296-n000004-0000-95356999b7fcf959.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "95356999b7fcf9597b2c3a8806a592124ec2821234547292b881661273ed94e1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009300-n000004.json b/manifests/batches/oproofs/s00002-r00009300-n000004.json
index 7d5b2bfa27410b4122ece41aa27d3423b662345e..61cd33ac789cf7811be9723198891f9e20fad1d0 100644
--- a/manifests/batches/oproofs/s00002-r00009300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009300-n000004",
   "batch_fingerprint": "6b85804229097c1adc5121416b509d1254ae27d6da4280c6b414ca50a892dd66",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009300-n000004-0000-2c9171f820086ec9.parquet",
-      "sha256": "2c9171f820086ec90afdd018748de86804b5d7a4c4a8b2211c0286b6279c3ce0",
-      "bytes": 164475,
-      "rows": 15,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009301.lean\",\"620e857d9273daf3247dba9f4eef9847dbd41a87611146c886e51709b73c75e8\",0,\"lean_workbook_41224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009302.lean\",\"97e1349b6de95e8b73bddcb7ae63f82852a5b4b21edaa5b68c48f4e24c6149a8\",0,\"lean_workbook_plus_28420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009303.lean\",\"ef1837868db0323948193963c8b889eb84da7e80bafe840d22e221c78528e46b\",0,\"lean_workbook_plus_14175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164475,
+      "path": "data/train/p93/oproofs-s00002-r00009300-n000004-0000-2c9171f820086ec9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2c9171f820086ec90afdd018748de86804b5d7a4c4a8b2211c0286b6279c3ce0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009304-n000004.json b/manifests/batches/oproofs/s00002-r00009304-n000004.json
index 23fbbe047630084a242da38ecbda33d261a1db85..c19ac4a408f341b88f14cac4aeb9685b0b3d9ead 100644
--- a/manifests/batches/oproofs/s00002-r00009304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009304-n000004",
   "batch_fingerprint": "6343f3c63bb859ae1bf94afd06bcba512e6e890ac61fe8fc6c57df6e54f29ffc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009304-n000004-0000-a44e186dae144919.parquet",
-      "sha256": "a44e186dae144919c7256d262ffee26a62df6b774b28fdaf00b48108ba68a7f3",
-      "bytes": 172282,
-      "rows": 19,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009305.lean\",\"52130d4d6c1f9d94558d3931f95cb6799d6c8334aab62dfaccf4f08cc74f3f6e\",0,\"nissan_sales\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009306.lean\",\"c3bc8946264d886480569099c5c94aadbf06f26a88670938f9ccd98b956a2716\",0,\"lean_workbook_plus_67556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009307.lean\",\"27faf547038ae79b58649c251abe548f19087db0bc29c8f7a06bc709c16f2df2\",0,\"cylindrical_coordinate_reflection\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172282,
+      "path": "data/train/pae/oproofs-s00002-r00009304-n000004-0000-a44e186dae144919.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a44e186dae144919c7256d262ffee26a62df6b774b28fdaf00b48108ba68a7f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009308-n000004.json b/manifests/batches/oproofs/s00002-r00009308-n000004.json
index fbf58d4287d166f83cfc259de7bae252430fa91f..9d00621cc8bae8054587bd013c15cb9aa9706fcf 100644
--- a/manifests/batches/oproofs/s00002-r00009308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009308-n000004",
   "batch_fingerprint": "36521db4f75ea2831b658ab7e687e8443c6d08f4e9843b9cc5e2facf3ce14dbf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009308-n000004-0000-831ac2ee944f9abf.parquet",
-      "sha256": "831ac2ee944f9abf74916c6e5d72e7b33fba9238e079d7037cf9db95e4ce4658",
-      "bytes": 174444,
-      "rows": 10,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009308-n000004-0000-587e8088a813f4cc.parquet",
-      "sha256": "587e8088a813f4cc5b16206f77bcb9d3f20e64b6b16c56a3ac022a8293335a16",
-      "bytes": 303635,
-      "rows": 4,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009309.lean\",\"37516b32b22c5cb35d60b07e76d2f52be87f03c4a6eb77b663b9ef6268ce414d\",0,\"lean_workbook_plus_28598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009310.lean\",\"f13f9724d0b86aa5f2066171e500c4a85914dbf49857c4a0b291c7aa118bef71\",0,\"lean_workbook_plus_40847\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009311.lean\",\"ed8cf264a9caae137f11c6183e6ab49e69b733be87cb936c0e4bb88f676db025\",0,\"lean_workbook_plus_8637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174444,
+      "path": "data/train/p2e/oproofs-s00002-r00009308-n000004-0000-831ac2ee944f9abf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "831ac2ee944f9abf74916c6e5d72e7b33fba9238e079d7037cf9db95e4ce4658"
+    },
+    {
+      "bytes": 303635,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00009308-n000004-0000-587e8088a813f4cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "587e8088a813f4cc5b16206f77bcb9d3f20e64b6b16c56a3ac022a8293335a16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009312-n000004.json b/manifests/batches/oproofs/s00002-r00009312-n000004.json
index 652326bc5bafb93899a7675625f31970a6449bcf..0387dbbda142b2ebc5857f6ae91b6ab36436571e 100644
--- a/manifests/batches/oproofs/s00002-r00009312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009312-n000004",
   "batch_fingerprint": "93ce74916b414b3d0442ad57ea89fcf45ba39e1337f1503569b0babb8235a9af",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009312-n000004-0000-365fd3ccb437185a.parquet",
-      "sha256": "365fd3ccb437185a29da134516f59c4c75320757dfb89db42ea9832d49cf70d0",
-      "bytes": 359120,
-      "rows": 23,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009313.lean\",\"789d55655f7fd47cfc02f65b54d30d3abf92c19cf3e8f9b641e700fa79b351b6\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009314.lean\",\"5774d4df250448a85b717067557cbd148b2ed9ad669250785d99cdf4364d7077\",0,\"lean_workbook_13525\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009315.lean\",\"55f202b842d15bd1deb0ed26538ffd3fa2fd098fe0eaa82c6aaba1d88634a540\",0,\"lean_workbook_plus_54859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 359120,
+      "path": "data/train/p32/oproofs-s00002-r00009312-n000004-0000-365fd3ccb437185a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "365fd3ccb437185a29da134516f59c4c75320757dfb89db42ea9832d49cf70d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009316-n000004.json b/manifests/batches/oproofs/s00002-r00009316-n000004.json
index 0f9731b4f106254e8cb55eb42fd64fd178a565cc..98418efc93fed63b9689df95975a410ea8c904f0 100644
--- a/manifests/batches/oproofs/s00002-r00009316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009316-n000004",
   "batch_fingerprint": "8edf7859fed4af242dc91a83eb57709e0e37b32d4b4bc3a5370eb59ffcf9c22a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009316-n000004-0000-824b5511706bed5a.parquet",
-      "sha256": "824b5511706bed5abeeb9f78f069035b0e9ecd7a30e1182cc190a50bbaf39d58",
-      "bytes": 549163,
-      "rows": 18,
-      "revision": "fde76ce0389f31105780243065771a990fbf0c59"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009316-n000004-0000-62a7a56f100aeb7f.parquet",
-      "sha256": "62a7a56f100aeb7f92b63802f5ec572f1222a030182c9c9b4d9909c1d29442fa",
-      "bytes": 52473,
-      "rows": 6,
-      "revision": "fde76ce0389f31105780243065771a990fbf0c59"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009317.lean\",\"d758b12b230ce58ed7aa55928238205463a60d4edcc42424ac3f1b6140d9e38c\",0,\"lean_workbook_plus_58784\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009318.lean\",\"e06dcdb01c36221e5cf3a38b0eacf03ad477eae06d70c45bd394837f4d34420d\",0,\"lean_workbook_plus_2860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009319.lean\",\"b21f730bd02809e26e1890d429728b4e3d3f6931568fc954c2c7b6bec4a1361c\",0,\"probability_sin_cos_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 549163,
+      "path": "data/train/pc0/oproofs-s00002-r00009316-n000004-0000-824b5511706bed5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "824b5511706bed5abeeb9f78f069035b0e9ecd7a30e1182cc190a50bbaf39d58"
+    },
+    {
+      "bytes": 52473,
+      "path": "data/dev/pc0/oproofs-s00002-r00009316-n000004-0000-62a7a56f100aeb7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "62a7a56f100aeb7f92b63802f5ec572f1222a030182c9c9b4d9909c1d29442fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009320-n000004.json b/manifests/batches/oproofs/s00002-r00009320-n000004.json
index fb93a9e36a4a513594c4e3a799ed918fa981e8e6..1226d150cdb684b4f28e07f372df6309e3463cda 100644
--- a/manifests/batches/oproofs/s00002-r00009320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009320-n000004",
   "batch_fingerprint": "f8575e0cb7548b2c0a521736a1cfc8a85051bedfb6ff299da81a8c21f66ea3fb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009320-n000004-0000-30704d8c00e24882.parquet",
-      "sha256": "30704d8c00e24882df224977cd50870331df5e01b78d855d3f1b8402811c9f7d",
-      "bytes": 235880,
-      "rows": 19,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009321.lean\",\"7e78189b4e892e8455faf8c0ad86d2d24d484324390a84b31d2715d6c8379157\",0,\"lean_workbook_plus_29611\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009322.lean\",\"784c3fe6f2167e76ff309ac182ff3088df701227af1e83d1665cb7c11876eccc\",0,\"lean_workbook_plus_67342\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009323.lean\",\"960dd477d9ae8828bfa5154ba37310735f374168766faa85c2114dafb94141c5\",0,\"lean_workbook_plus_18648\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235880,
+      "path": "data/train/p81/oproofs-s00002-r00009320-n000004-0000-30704d8c00e24882.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "30704d8c00e24882df224977cd50870331df5e01b78d855d3f1b8402811c9f7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009324-n000004.json b/manifests/batches/oproofs/s00002-r00009324-n000004.json
index 8cc937b981717136f52891c7a157e8a8144a10cf..98c014b112be8b9fe1515eefbb6f910aa7b88c62 100644
--- a/manifests/batches/oproofs/s00002-r00009324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009324-n000004",
   "batch_fingerprint": "d241dc9cd4ce6b74a1a9eb30ad067647b78083d0efe04fa9b33bc2f43126e5bf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009324-n000004-0000-7c16265ae58bd733.parquet",
-      "sha256": "7c16265ae58bd733275e7a5676ed6dcd74c31867d3f161da3edf78528d4b153d",
-      "bytes": 323074,
-      "rows": 23,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009325.lean\",\"03d95897e954390bbe800becdf7df4f35d788cf5f24b2afb41efec19dc5b16a2\",0,\"lean_workbook_plus_56583\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009326.lean\",\"f5310ae4ebe3678d19aef983fa6bbbf3f6375c24d67c8b4f6ef743ea9189f0a4\",0,\"lean_workbook_plus_17631\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009327.lean\",\"7f5c16735c3438c556cd6fc1a948076fc68c130422601c89e4b48160a0e3d70e\",0,\"lean_workbook_48726\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 323074,
+      "path": "data/train/p39/oproofs-s00002-r00009324-n000004-0000-7c16265ae58bd733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7c16265ae58bd733275e7a5676ed6dcd74c31867d3f161da3edf78528d4b153d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009328-n000004.json b/manifests/batches/oproofs/s00002-r00009328-n000004.json
index 3272edd136b9c617e3a8d3aaa74cbc8837698101..5e46211d7cf37a8f5f142b29181d5551244aea27 100644
--- a/manifests/batches/oproofs/s00002-r00009328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009328-n000004",
   "batch_fingerprint": "7fcf5f63e47e5042a444e69ccd5ecacfbe4fcf9286a2a49424a629fb31e8c877",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009328-n000004-0000-1fcc26fd53049007.parquet",
-      "sha256": "1fcc26fd530490075f664d6ad48bbdd8fca2c2e060131013a658f6d713398f99",
-      "bytes": 174819,
-      "rows": 10,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009328-n000004-0000-a8cdaaaa5da8dc88.parquet",
-      "sha256": "a8cdaaaa5da8dc88aaf6f7ccfaefe5660c6b9166bc701ae991dcd2b2001ae221",
-      "bytes": 108160,
-      "rows": 4,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009329.lean\",\"249e18a270523371cbb32fca6faa1424e7c4893ab3b08b00c0b3acaed90f027a\",0,\"lean_workbook_plus_62073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009330.lean\",\"d233e514b74c01c197dd63e36b013c390448e2ea62072639ccef5af34c7716c0\",0,\"lean_workbook_plus_44693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009331.lean\",\"438b4ba8301c11307dd79462c3c7ee6fb8b2f73e89a1c05fbd9b22c799144e24\",0,\"lean_workbook_plus_55866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174819,
+      "path": "data/train/p8f/oproofs-s00002-r00009328-n000004-0000-1fcc26fd53049007.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1fcc26fd530490075f664d6ad48bbdd8fca2c2e060131013a658f6d713398f99"
+    },
+    {
+      "bytes": 108160,
+      "path": "data/dev/p8f/oproofs-s00002-r00009328-n000004-0000-a8cdaaaa5da8dc88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a8cdaaaa5da8dc88aaf6f7ccfaefe5660c6b9166bc701ae991dcd2b2001ae221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009332-n000004.json b/manifests/batches/oproofs/s00002-r00009332-n000004.json
index 4ff9cc87dd1e69bf817d0fd6c62286b3e2f9fada..a555058ac27dcda3a0b10bff801eb8452d204da7 100644
--- a/manifests/batches/oproofs/s00002-r00009332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009332-n000004",
   "batch_fingerprint": "2c68d1534d673e409f0169a6a7143a578616f08a3bc92ecc4521effd0645a697",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009332-n000004-0000-d96ad8e4488d1fc3.parquet",
-      "sha256": "d96ad8e4488d1fc38a564881ae1470f7adacc3496bba8043ee1cb426cbf7b875",
-      "bytes": 531999,
-      "rows": 23,
-      "revision": "fde76ce0389f31105780243065771a990fbf0c59"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009332-n000004-0000-77860645a9892be0.parquet",
-      "sha256": "77860645a9892be07490c6dcd04ad1533183acf2f3005670efe9f976e5692c1f",
-      "bytes": 47461,
-      "rows": 2,
-      "revision": "fde76ce0389f31105780243065771a990fbf0c59"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009333.lean\",\"985d8a12a48f24df22f4345605e860a11927d71a4e4399cb30185a9f3b070dce\",0,\"lean_workbook_plus_14504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009334.lean\",\"e8c5b5f6f7cf9bb4c329864263de77e997fd124ba24d219efa15d3c23a6dd7d9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009335.lean\",\"a7d10509203fe1cd76bc038671cd354ef494dd2668a1a66782897258407d69be\",0,\"lean_workbook_plus_32496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531999,
+      "path": "data/train/p3f/oproofs-s00002-r00009332-n000004-0000-d96ad8e4488d1fc3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d96ad8e4488d1fc38a564881ae1470f7adacc3496bba8043ee1cb426cbf7b875"
+    },
+    {
+      "bytes": 47461,
+      "path": "data/internal_test/p3f/oproofs-s00002-r00009332-n000004-0000-77860645a9892be0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "77860645a9892be07490c6dcd04ad1533183acf2f3005670efe9f976e5692c1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009336-n000004.json b/manifests/batches/oproofs/s00002-r00009336-n000004.json
index e714e784071ef02147c90991d1869e53a59f487c..7bdc310d6acc890159d7cacd6a0cb510180a3752 100644
--- a/manifests/batches/oproofs/s00002-r00009336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009336-n000004",
   "batch_fingerprint": "5db34ba2115b56d310a1b30706d4bb0704375ed842dc52e8480629c952b57a6c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009336-n000004-0000-619f36fd9c35b529.parquet",
-      "sha256": "619f36fd9c35b529de91a29d5be1c1da973a54b48fcedfc27618f9e4cefd0150",
-      "bytes": 590259,
-      "rows": 19,
-      "revision": "fde76ce0389f31105780243065771a990fbf0c59"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009337.lean\",\"49bf6472d9f2de20838e989a69c92f483f5401aca9741e27f598ab243378b071\",0,\"lean_workbook_47811\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009338.lean\",\"136a00cd659eae08458e8bf86ad231869d66994547e4e7382b6b0839fc89951b\",0,\"lean_workbook_plus_61983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009339.lean\",\"99c0a4a9058102a4a61dd7895127ba8c637dcdd7833c4b8daeaeb569f90008dc\",0,\"lean_workbook_plus_72252\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 590259,
+      "path": "data/train/pa5/oproofs-s00002-r00009336-n000004-0000-619f36fd9c35b529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "619f36fd9c35b529de91a29d5be1c1da973a54b48fcedfc27618f9e4cefd0150"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009340-n000004.json b/manifests/batches/oproofs/s00002-r00009340-n000004.json
index b707b61c80c7c6c96cc669bca8bf35a380aebd08..27a78aad72c81751f95cf1fcf403f63a5c5c2940 100644
--- a/manifests/batches/oproofs/s00002-r00009340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009340-n000004",
   "batch_fingerprint": "8b2115fae8dc50332b28a13ff305f2462695fc557626d5c8f346e48dd2ded59c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009340-n000004-0000-90542f0e5b9208a6.parquet",
-      "sha256": "90542f0e5b9208a674c77ca77bb096bcc18edc811af5cd6ae3f802519d7a92d5",
-      "bytes": 81434,
-      "rows": 5,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009340-n000004-0000-409dcb36dc4b1bad.parquet",
-      "sha256": "409dcb36dc4b1bade9dba59c1d0075dd7669eab3546f85a2d143443d63dc078b",
-      "bytes": 128617,
-      "rows": 6,
-      "revision": "7319e9bc68bef870c6572449fa3d04221fb8a36d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009341.lean\",\"80cbface8209deba9cb67c7c37aa177fcb907f1c5f326a6fb3ac08050ccdc3be\",0,\"lean_workbook_plus_56704\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009342.lean\",\"369282c33f19aac7ac562ed12c2d72366512147112efa8723809ab3aca62be43\",0,\"lean_workbook_plus_50812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009343.lean\",\"d340cbe7ade771c44a9c96a8edcf7649380f1717b94c87fde76f488bfa2e6d65\",0,\"lean_workbook_plus_31886\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81434,
+      "path": "data/train/p47/oproofs-s00002-r00009340-n000004-0000-90542f0e5b9208a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "90542f0e5b9208a674c77ca77bb096bcc18edc811af5cd6ae3f802519d7a92d5"
+    },
+    {
+      "bytes": 128617,
+      "path": "data/internal_test/p47/oproofs-s00002-r00009340-n000004-0000-409dcb36dc4b1bad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "409dcb36dc4b1bade9dba59c1d0075dd7669eab3546f85a2d143443d63dc078b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009344-n000004.json b/manifests/batches/oproofs/s00002-r00009344-n000004.json
index c084bfbeba0b1c01661596411f647ab68328b6be..3f7d6adfaae8fad9b6ef9bb6c196a9315b465ec6 100644
--- a/manifests/batches/oproofs/s00002-r00009344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009344-n000004",
   "batch_fingerprint": "fbd5ab3be2d59577614e559a2f1620571408492892d1fa469ede33037187892c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009344-n000004-0000-4a4c8e2b3687453a.parquet",
-      "sha256": "4a4c8e2b3687453a05a5a19df520ca727de140f175ac83803eff80fec308c242",
-      "bytes": 465432,
-      "rows": 14,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009345.lean\",\"cb36d6722fbdc668490c8c9f93c7ae7b322052d19d763da6a282c2199943e280\",0,\"lean_workbook_plus_54962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009346.lean\",\"8137b85929506fc7830a2f24b4ac3ff7c22c71613497c49d42f2a5a0ca019993\",0,\"lean_workbook_15914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009347.lean\",\"46748d00915c79bcece49fef69ed7756495d356ccaec0a82e7ae7b7b3b0ffad6\",0,\"lean_workbook_plus_28918\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 465432,
+      "path": "data/train/p8e/oproofs-s00002-r00009344-n000004-0000-4a4c8e2b3687453a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4a4c8e2b3687453a05a5a19df520ca727de140f175ac83803eff80fec308c242"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009348-n000004.json b/manifests/batches/oproofs/s00002-r00009348-n000004.json
index 853b9252759ba3965b36ee956fb53e0a07682879..58fc689542dcf6192f99e6abb479ba1e719b7427 100644
--- a/manifests/batches/oproofs/s00002-r00009348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009348-n000004",
   "batch_fingerprint": "fa80dac31812b9a2557a098c09e1facb048f293f0c653c3137b1ecbb7e4840a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009348-n000004-0000-fa7afd4d5e5aaed9.parquet",
-      "sha256": "fa7afd4d5e5aaed9d919c3d6b98100ebe4365fbb189143e9d46425f2504bdce6",
-      "bytes": 321107,
-      "rows": 19,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009349.lean\",\"34be3887237b3b50b89ddcdab78d0ca88a0afa02af5ed39f53d080b088fe3621\",0,\"lean_workbook_plus_52259\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009350.lean\",\"adc9d0b4d57d7b37a0fec442d9e8bf0eb633bc047084cc183c98347e6ab78414\",0,\"lean_workbook_plus_59354\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009351.lean\",\"adf8c42d3e90491136a6cf6f4356b45256a71ccea42423cdd7e7789faff58daa\",0,\"lean_workbook_plus_65745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 321107,
+      "path": "data/train/pea/oproofs-s00002-r00009348-n000004-0000-fa7afd4d5e5aaed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fa7afd4d5e5aaed9d919c3d6b98100ebe4365fbb189143e9d46425f2504bdce6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009352-n000004.json b/manifests/batches/oproofs/s00002-r00009352-n000004.json
index 09ac6a76f4ec8d5e66e81f9edd068c056e2cfdf5..57eb890e52594bd3db1a2439384a1b2c3ccddc5a 100644
--- a/manifests/batches/oproofs/s00002-r00009352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009352-n000004",
   "batch_fingerprint": "3db601723afd277a9fb9774050cbe330a8feaac2dd273abdd035429be86a9bbf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009352-n000004-0000-fc0f8bed98428c09.parquet",
-      "sha256": "fc0f8bed98428c092a37f48ad6931725d602c8a5970e23480995248afaeee1c8",
-      "bytes": 450038,
-      "rows": 25,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009353.lean\",\"b2de297d10206ea519bdcdf980b7ae5f7f63fbae4e03d0001f7ad5705d0f0cab\",0,\"lean_workbook_29257\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009354.lean\",\"64de5cdbaac25ae7e30cda1dd8cbe265bccd87025d00a6076d72049eb23a8cfc\",0,\"lean_workbook_plus_30086\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009355.lean\",\"b5b8b209fe3132add5c058fcd473ef7664defd76756863468e3f48ebdc503c62\",0,\"lean_workbook_36240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 450038,
+      "path": "data/train/p09/oproofs-s00002-r00009352-n000004-0000-fc0f8bed98428c09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "fc0f8bed98428c092a37f48ad6931725d602c8a5970e23480995248afaeee1c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009356-n000004.json b/manifests/batches/oproofs/s00002-r00009356-n000004.json
index a96d9f7a79931a494b12811f46a5b3d11e3599d6..d2a13d8d7b83028268eb1ac2af24b95eeb640959 100644
--- a/manifests/batches/oproofs/s00002-r00009356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009356-n000004",
   "batch_fingerprint": "e721855f87daec165ea7679686d58ea872370b4d49c51788807ef3c52cfe47e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009356-n000004-0000-e16cfccc7fa1494c.parquet",
-      "sha256": "e16cfccc7fa1494c6943f0ceb9b3c1e467c3001c9d4a3fc380d3a390f6004332",
-      "bytes": 548124,
-      "rows": 33,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009357.lean\",\"572dd8695ee0e341cb222d15ab12329938efb15cfe66cb76d66f8bc881052bec\",0,\"lean_workbook_plus_20048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009358.lean\",\"b71c9d81d770d3597c4996f748468d2f61b2cc840eed9e04a631d41d190a1365\",0,\"lean_workbook_28583\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009359.lean\",\"f5fab792afac9098b799a166371bac646582a2ed87f56b17f99f4939355590bb\",0,\"lean_workbook_22904\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 548124,
+      "path": "data/train/pfd/oproofs-s00002-r00009356-n000004-0000-e16cfccc7fa1494c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "e16cfccc7fa1494c6943f0ceb9b3c1e467c3001c9d4a3fc380d3a390f6004332"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009360-n000004.json b/manifests/batches/oproofs/s00002-r00009360-n000004.json
index f5bcc364f76e43d37ac580dbc2863801aa67d099..abb49bcab151807dd2f4bc1210330595e1f70887 100644
--- a/manifests/batches/oproofs/s00002-r00009360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009360-n000004",
   "batch_fingerprint": "84938d6b209a79563ea8d0c32eda52b353fa39a978b863e181f8aec125907ce8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009360-n000004-0000-405a0d579b37602d.parquet",
-      "sha256": "405a0d579b37602d5636778fbe514178cdaafcac61fc4174ce58e4cb7bd34e7d",
-      "bytes": 73568,
-      "rows": 10,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009360-n000004-0000-b2467b09165ea34b.parquet",
-      "sha256": "b2467b09165ea34b2ac8636bb476edfabddc6cab33fc8ed08a136af553a4b2a6",
-      "bytes": 386994,
-      "rows": 14,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009361.lean\",\"942fa1ff7b4d6385e9bacb12c554c6e0316b555ee29f8a2bb1f7755b03b5db40\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009362.lean\",\"58b6b2c9895a240f7c8147736c2d9c82ac9197a83655c773f999645533912378\",0,\"lean_workbook_41224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009363.lean\",\"cc0c7532deaad60e075caa84e0aa2816cac0a3751f4bab5d460c70b0913d896d\",0,\"sum_infinite_series\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73568,
+      "path": "data/train/p9f/oproofs-s00002-r00009360-n000004-0000-405a0d579b37602d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "405a0d579b37602d5636778fbe514178cdaafcac61fc4174ce58e4cb7bd34e7d"
+    },
+    {
+      "bytes": 386994,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00009360-n000004-0000-b2467b09165ea34b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b2467b09165ea34b2ac8636bb476edfabddc6cab33fc8ed08a136af553a4b2a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009364-n000004.json b/manifests/batches/oproofs/s00002-r00009364-n000004.json
index 4ad1b04151d181e939c3fe79e032f6e56eb6abbb..1dceb1ea0a0a07e754a22d400ec06b67851c7263 100644
--- a/manifests/batches/oproofs/s00002-r00009364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009364-n000004",
   "batch_fingerprint": "857fab3d87b3aab84c8623c88247d7f97da4bf392ce39962f546914980e295f0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009364-n000004-0000-86edfa85aa6ef9c5.parquet",
-      "sha256": "86edfa85aa6ef9c5cd608c143a0fe57fb13d7598553427b070348bebd40bf0ac",
-      "bytes": 200658,
-      "rows": 15,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009365.lean\",\"9410ca42942d83e9314b79f730078c742ef63bb4656d3f277db73fca04636835\",0,\"lean_workbook_plus_28420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009366.lean\",\"45f0f023d249d8e8a58a428789f27993253c14ba3dee253878172e156ae85b16\",0,\"distance_to_plane\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009367.lean\",\"e211a1286441101695087874b56ec5fce5b16982f3f4aa4f8cb38e9b59a37f9f\",0,\"lean_workbook_plus_14175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200658,
+      "path": "data/train/pde/oproofs-s00002-r00009364-n000004-0000-86edfa85aa6ef9c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "86edfa85aa6ef9c5cd608c143a0fe57fb13d7598553427b070348bebd40bf0ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009368-n000004.json b/manifests/batches/oproofs/s00002-r00009368-n000004.json
index fc665bc159b6cb4ec53c7266da9444498549eb64..dff2fe6c940ab986d7a48b2968c946f71056a9f2 100644
--- a/manifests/batches/oproofs/s00002-r00009368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009368-n000004",
   "batch_fingerprint": "fd3c4389d24fc7a9a7e234528712864b81ebc070d14e043bd253bbb3c600b4a7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009368-n000004-0000-116d1941deb353c0.parquet",
-      "sha256": "116d1941deb353c0f478f0cb97a1f78b83885ee9ab84a84b8a044b01b399815c",
-      "bytes": 127709,
-      "rows": 14,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009369.lean\",\"d80384d266822cc51b4c7e7cc73890d19b80a35e09ebefa56343621759b301f3\",0,\"lean_workbook_plus_71671\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009370.lean\",\"d5da67ebf82a5a391eef93ddd771d1d9383ee1cd47bd5d1ba265c5922041fb67\",0,\"lean_workbook_plus_67556\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009371.lean\",\"16ef4a15fb00cc22a74a36409197b9cdba50dab58cb1453e48ea03000d754462\",0,\"lean_workbook_plus_65760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127709,
+      "path": "data/train/p8d/oproofs-s00002-r00009368-n000004-0000-116d1941deb353c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "116d1941deb353c0f478f0cb97a1f78b83885ee9ab84a84b8a044b01b399815c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009372-n000004.json b/manifests/batches/oproofs/s00002-r00009372-n000004.json
index f5023642cda155f6c297b8467ce2bd1e6e654525..766ec426e5b877cc121e55979ee3de7570196bf3 100644
--- a/manifests/batches/oproofs/s00002-r00009372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009372-n000004",
   "batch_fingerprint": "73ea23d8c911bf8e34b5626bdd14f0cbb297fdcf66181f62d70a583651c288a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009372-n000004-0000-829ee5ab6345404e.parquet",
-      "sha256": "829ee5ab6345404e90a096238febf83464e32d0173e015984418506494c0cf8e",
-      "bytes": 223088,
-      "rows": 23,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009373.lean\",\"9d0a155a27a5f48a4306dafcf98f2a8b9d00c93cf5cf6e0782381cc049b424ae\",0,\"lean_workbook_plus_67603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009374.lean\",\"d42af37b73c4e390c94068ffb7bd14dbe0d93ef95833b80d5e06dbe63ac7ef1b\",0,\"chinese_gcd_algorithm\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009375.lean\",\"f4a28bc2ccaba1ec20d1205dea4ffc412f055dccf850643a04b6e2f3ab430dc4\",0,\"fraction_sum_equals_three_eighths\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223088,
+      "path": "data/train/p08/oproofs-s00002-r00009372-n000004-0000-829ee5ab6345404e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "829ee5ab6345404e90a096238febf83464e32d0173e015984418506494c0cf8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009376-n000004.json b/manifests/batches/oproofs/s00002-r00009376-n000004.json
index 52002b58e7ebaec0296841eb5c6880db6f70fa44..6deb4ec7e0d4f2b482e12019850d84ea488d9497 100644
--- a/manifests/batches/oproofs/s00002-r00009376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009376-n000004",
   "batch_fingerprint": "873c70e5e4d13549c5840609e1d7bd4761c277ebc45eb4a4e9bdf891d67db73e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009376-n000004-0000-8926bfcb150398b1.parquet",
-      "sha256": "8926bfcb150398b1a6bc0911517323b8dd182a28cd3042e440810657b19ddc03",
-      "bytes": 511002,
-      "rows": 22,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9377",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009377.lean\",\"3f68c69c3e3fbe8c784dbf8a470a98d16f8ba9247330074f3f81c08fc27ee1fb\",0,\"lean_workbook_plus_22894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009378.lean\",\"81362776944e14aabf6071b9aa970cd240a2083e7f995ca3cdbaf9a9a4bd1a67\",0,\"lean_workbook_plus_54859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009379.lean\",\"0ca2fd7f73541a5ebfbea2c5847b96b208321fb9fbb27e3ae5a6b5e00d0a8a67\",0,\"lean_workbook_plus_46225\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511002,
+      "path": "data/train/p7e/oproofs-s00002-r00009376-n000004-0000-8926bfcb150398b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "8926bfcb150398b1a6bc0911517323b8dd182a28cd3042e440810657b19ddc03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009380-n000004.json b/manifests/batches/oproofs/s00002-r00009380-n000004.json
index b1126f62b856473b9ebf1823e6b47f217c4ce685..eb6ea1d1a7fd3850786b7b36887dd12eef2b017c 100644
--- a/manifests/batches/oproofs/s00002-r00009380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009380-n000004",
   "batch_fingerprint": "ccfb1df82f6d15bdb97075a6986fa40ca5eb0f2bdfe8e3c5218fc4601f0fe655",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009380-n000004-0000-fc737bc5eb30e26d.parquet",
-      "sha256": "fc737bc5eb30e26dc20c24bd49605ef142efb51168352e5c5c497661e007deec",
-      "bytes": 426491,
-      "rows": 25,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009381.lean\",\"dbd5c485af77537e3578a2ca0689545b71719c1a2d8fe4215853897939d3d954\",0,\"lean_workbook_plus_58784\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009382.lean\",\"f80753feee002d4cda9cc22ffc70f9c7a6172c11ae5de37990ae65d0569a7000\",0,\"probability_sin_cos_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009383.lean\",\"08384ed5935c78ed7e9bf01050343882c69ff579f35e724159e0a0f5d8c0082e\",0,\"lean_workbook_plus_2860\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426491,
+      "path": "data/train/pc1/oproofs-s00002-r00009380-n000004-0000-fc737bc5eb30e26d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "fc737bc5eb30e26dc20c24bd49605ef142efb51168352e5c5c497661e007deec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009384-n000004.json b/manifests/batches/oproofs/s00002-r00009384-n000004.json
index eb37284fd51eaa68d65127e78b6094e279ad5fff..bc407c238805ad3f60dca5115944dd4d0efcef43 100644
--- a/manifests/batches/oproofs/s00002-r00009384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009384-n000004",
   "batch_fingerprint": "0721ee396210ec27589956e6e1897a4473496d4681af152beab2947e5516621f",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000009/oproofs-s00002-r00009384-n000004-0000-261b8890b9dbf808.parquet",
-      "sha256": "261b8890b9dbf8083ce46dfe82826fde6b115b426b82a8d8a836b41708e869f0",
-      "bytes": 257953,
-      "rows": 15,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9385",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009384.lean\",\"3a955621f66de2e459f84b13123b3329e6a9904e5d245c9e8126058f08e08049\",0,\"lean_workbook_plus_58059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009385.lean\",\"126dc1c84a10572d39198f481b93b8dcb27d3359b44e31b1b828eb6da836fc01\",0,\"wrestling_points_max\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009386.lean\",\"d4aaac1ea2dfa799fd6a8b8262843bf0f80f6c01700e7e4e75bd333e2d30e206\",0,\"geometric_sequence_max_term\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257953,
+      "path": "data/train/pbf/oproofs-s00002-r00009384-n000004-0000-261b8890b9dbf808.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "261b8890b9dbf8083ce46dfe82826fde6b115b426b82a8d8a836b41708e869f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009388-n000004.json b/manifests/batches/oproofs/s00002-r00009388-n000004.json
index bb80a2c90f20b122441887b5e6c1f7d0c5ab5804..bdef93a080e72a0faf7a9d792640e9a53b364c6c 100644
--- a/manifests/batches/oproofs/s00002-r00009388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009388-n000004",
   "batch_fingerprint": "2785a008eb0ced664fb1c12aff1f8c9fc2e7752701e6c43f0511af01ecea0673",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009388-n000004-0000-1cf28d50bd822910.parquet",
-      "sha256": "1cf28d50bd822910569d14079419cc1000fe86d95123fa992d89601e204e652d",
-      "bytes": 431796,
-      "rows": 29,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009389.lean\",\"ab50be5fe36598302c23617bf0027f60fd3ececac5eb1124f23aac6550ae0c1b\",0,\"lean_workbook_plus_31601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009390.lean\",\"528708b1cc76f7349739391de8a142cb53c92f1eef35d1ec8309b9650a1f152f\",0,\"lean_workbook_plus_30955\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009391.lean\",\"6da18cb4b64760b9663fb527e291a54d1cf14e3e3b205512d1e394c7fef6df30\",0,\"lean_workbook_plus_56583\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 431796,
+      "path": "data/train/p45/oproofs-s00002-r00009388-n000004-0000-1cf28d50bd822910.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1cf28d50bd822910569d14079419cc1000fe86d95123fa992d89601e204e652d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009392-n000004.json b/manifests/batches/oproofs/s00002-r00009392-n000004.json
index 15ca162c86d0b1ef488db8277662c338c84096bb..e0a6436c362d40045c120532e7759aa8125dc98f 100644
--- a/manifests/batches/oproofs/s00002-r00009392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009392-n000004",
   "batch_fingerprint": "2eb0ddae2a3ed5569948f3349ee553d413eb5d25184f2a2c68f5b07f98d1ba4a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009392-n000004-0000-6c9ddd7904353575.parquet",
-      "sha256": "6c9ddd79043535756bdf2f159498745dd61a9e75ffc2956bba95020ba71bdaf9",
-      "bytes": 335790,
-      "rows": 23,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009393.lean\",\"8b46bde65f7f244d5eb2ca693dc862fb0290b9d3af7afe237c40cd63cbf88248\",0,\"lean_workbook_plus_62073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009394.lean\",\"e4cee7eb66e834dd11fc176009fb43818f9afe7ccc7f40b5c5cd335f5ee33ccb\",0,\"lean_workbook_plus_18648\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009395.lean\",\"3d9b998e5a1bb75deafe457d5d787e6542825ca1906018d84dcdca11649700d9\",0,\"lean_workbook_plus_44693\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335790,
+      "path": "data/train/pd2/oproofs-s00002-r00009392-n000004-0000-6c9ddd7904353575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "6c9ddd79043535756bdf2f159498745dd61a9e75ffc2956bba95020ba71bdaf9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009396-n000004.json b/manifests/batches/oproofs/s00002-r00009396-n000004.json
index cd97812128cf48cd0658bc927a7ac37e59cf5721..09ee233c608becd934524a4b3b7f6e347d1721e4 100644
--- a/manifests/batches/oproofs/s00002-r00009396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009396-n000004",
   "batch_fingerprint": "c9a0614d51b59c20fd0c5971560bba8166ee8ddde12651b414fac205e32ee1a7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009396-n000004-0000-fd2ad3c71c5babb5.parquet",
-      "sha256": "fd2ad3c71c5babb5e50d557d9e26be4335a114458c182fdb6f80e7b524bd1a2b",
-      "bytes": 458841,
-      "rows": 14,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009396-n000004-0000-e6a3472c5b1c01ef.parquet",
-      "sha256": "e6a3472c5b1c01ef4b44e69b09a0b9da7d1d64880bbc0967c9a8978f619bf5f2",
-      "bytes": 105380,
-      "rows": 4,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009397.lean\",\"9cecc8f00b5db356846ffe6f3551c710ce108b58f32e048681b9337d8e4204ad\",0,\"lean_workbook_plus_55866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009398.lean\",\"7b6af85afabc6b21095383714c762595ab78560725a16ae2f96024c678d27f21\",0,\"lean_workbook_plus_66851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009399.lean\",\"20ecc2d617733d8c084a18c883b3820a4c4490df19b3d2200ec99637b2dd28ee\",0,\"lean_workbook_plus_67919\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 458841,
+      "path": "data/train/pe1/oproofs-s00002-r00009396-n000004-0000-fd2ad3c71c5babb5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fd2ad3c71c5babb5e50d557d9e26be4335a114458c182fdb6f80e7b524bd1a2b"
+    },
+    {
+      "bytes": 105380,
+      "path": "data/dev/pe1/oproofs-s00002-r00009396-n000004-0000-e6a3472c5b1c01ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e6a3472c5b1c01ef4b44e69b09a0b9da7d1d64880bbc0967c9a8978f619bf5f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009400-n000004.json b/manifests/batches/oproofs/s00002-r00009400-n000004.json
index 05153fc417a2c1683156ff30ebcc124bdddbc858..07946b4a4584ae070d6f46f11aed331cfc5afcaa 100644
--- a/manifests/batches/oproofs/s00002-r00009400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009400-n000004",
   "batch_fingerprint": "13492006be0e786b7bbadb2aa4705cab051a46641199051fc381b94cbeaf83ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009400-n000004-0000-40d9427be9a6d3d5.parquet",
-      "sha256": "40d9427be9a6d3d51621d03312d497b7956f56418d41fa50d151834c428cc057",
-      "bytes": 114528,
-      "rows": 9,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009400-n000004-0000-e49acff493b9daeb.parquet",
-      "sha256": "e49acff493b9daeb3ae55af43d570dd26474aa21d2a9e80920fed9f4ffac0f6b",
-      "bytes": 178714,
-      "rows": 4,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009401.lean\",\"f6a22f53cb13173d1a9f7608671c64a115cb32d40502db655faaa6016ca7646d\",0,\"lean_workbook_plus_14504\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009402.lean\",\"723ab76571328b52d8a0dc797489825d418f59eaa73fe12f55e2a2b7aee808fa\",0,\"lean_workbook_plus_54825\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009403.lean\",\"2ad921001fc594c70fc46a762131f99ecfcec4219a11555119929077b4ad60da\",0,\"lean_workbook_plus_70043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114528,
+      "path": "data/train/p28/oproofs-s00002-r00009400-n000004-0000-40d9427be9a6d3d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "40d9427be9a6d3d51621d03312d497b7956f56418d41fa50d151834c428cc057"
+    },
+    {
+      "bytes": 178714,
+      "path": "data/internal_test/p28/oproofs-s00002-r00009400-n000004-0000-e49acff493b9daeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "e49acff493b9daeb3ae55af43d570dd26474aa21d2a9e80920fed9f4ffac0f6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009404-n000004.json b/manifests/batches/oproofs/s00002-r00009404-n000004.json
index 2c7576b327138ff8a929192701b06128a25069ed..2e6b680a0c6c379e2bb6ba0a60e455bdca13e62f 100644
--- a/manifests/batches/oproofs/s00002-r00009404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009404-n000004",
   "batch_fingerprint": "55aa37e3060e4e97ee69eef33a4182ea91fb997983af5d1afe639957ac5fe137",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009404-n000004-0000-621fd8ee2ee11300.parquet",
-      "sha256": "621fd8ee2ee11300d841fe1983630b8195bf9f0af14cdbfdf414cb62bd6e8e11",
-      "bytes": 183637,
-      "rows": 13,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009405.lean\",\"5d15aa240923f85654a6c990bcc257dfda00b3e2e4ca6eb07a81a82c591452a9\",0,\"lean_workbook_plus_61983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009406.lean\",\"e17a6797acf74014a92f697b922dbbe22eeee6236eef3bbbaabfc63ef9235b2a\",0,\"lean_workbook_plus_72252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009407.lean\",\"df940c88031992e7efba60187d9424f7b3f438333856f6874ee7fd3eaaaac2c2\",0,\"lean_workbook_plus_56704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183637,
+      "path": "data/train/pf7/oproofs-s00002-r00009404-n000004-0000-621fd8ee2ee11300.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "621fd8ee2ee11300d841fe1983630b8195bf9f0af14cdbfdf414cb62bd6e8e11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009408-n000004.json b/manifests/batches/oproofs/s00002-r00009408-n000004.json
index 0bae8b35bd766982ec57de90d9b34ed34ce096bb..dd88a8453ab66f4677e83feecd4129cb93a344b7 100644
--- a/manifests/batches/oproofs/s00002-r00009408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009408-n000004",
   "batch_fingerprint": "18880babf2355e790679d3a9621e9c6de6d784ee436220d1db12604068b2a692",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009408-n000004-0000-54905e38640406e2.parquet",
-      "sha256": "54905e38640406e2dd81a2c0b18fe385adc3026ebfe2898137c79dfa876fd248",
-      "bytes": 219205,
-      "rows": 10,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009408-n000004-0000-7d04afdcbfd3f522.parquet",
-      "sha256": "7d04afdcbfd3f5221bb49cb9c2f92aa4b08d2848b47f295adaace57253e1546e",
-      "bytes": 62338,
-      "rows": 4,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9409",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009409.lean\",\"fcf0a8492345204fe9a3ac5a088a857ec255d0b357c9f4f154b7848affae518c\",0,\"lean_workbook_plus_24169\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009410.lean\",\"c5b573df4f5d54f5f9d87b13278c21a691fcc8735c845d6d5e45c9fc61452c3d\",0,\"lean_workbook_plus_62312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009411.lean\",\"6c24d9a85ff6e2bad4fc5e55dbc0603bfad6795741dea4dddf97c69d98f0e94b\",0,\"lean_workbook_plus_54962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219205,
+      "path": "data/train/pf7/oproofs-s00002-r00009408-n000004-0000-54905e38640406e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "54905e38640406e2dd81a2c0b18fe385adc3026ebfe2898137c79dfa876fd248"
+    },
+    {
+      "bytes": 62338,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00009408-n000004-0000-7d04afdcbfd3f522.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7d04afdcbfd3f5221bb49cb9c2f92aa4b08d2848b47f295adaace57253e1546e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009412-n000004.json b/manifests/batches/oproofs/s00002-r00009412-n000004.json
index 8b8567d3e2211db18991eadcc96af181cfb8c9d3..04142fa6e9267591afda7661a10fcb3abea07ca8 100644
--- a/manifests/batches/oproofs/s00002-r00009412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009412-n000004",
   "batch_fingerprint": "fc14236b4a04fe7807ddfec5246bc1a953e6e454dc6bab74740a21bc5fa6f17d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009412-n000004-0000-bb8b2800e6262b1a.parquet",
-      "sha256": "bb8b2800e6262b1a55042cc639de265167d987fe8d2010eac4ae33e1bedb0b43",
-      "bytes": 473380,
-      "rows": 22,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009413.lean\",\"abe53d660783f9c8544c23cc7d3171a4ab56e50b4caca03f7f7c5f2e84a8af9e\",0,\"lean_workbook_14712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009414.lean\",\"6f5706f800060e3f7c51ce53ac0c63fc54fdd9633b2a6b32c4c8ccdd9ba0dee5\",0,\"lean_workbook_plus_65480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009415.lean\",\"7c30e0a52cceb036e2a3734ca0ba5a079f7949ea1c3c5e82721f33b1769e16f5\",0,\"lean_workbook_plus_52259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 473380,
+      "path": "data/train/pea/oproofs-s00002-r00009412-n000004-0000-bb8b2800e6262b1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "bb8b2800e6262b1a55042cc639de265167d987fe8d2010eac4ae33e1bedb0b43"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009416-n000004.json b/manifests/batches/oproofs/s00002-r00009416-n000004.json
index b0caab457e24a8857613e6c04c5a0961a0ba300d..24fae8f6e3e890a00df02d114170493d27ba7a34 100644
--- a/manifests/batches/oproofs/s00002-r00009416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009416-n000004",
   "batch_fingerprint": "234720f3db745d4da5b595c2fac35e167b40c6794a98920d4a0a70eabb8bb7d7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009416-n000004-0000-238f1ba3a1bfcbd3.parquet",
-      "sha256": "238f1ba3a1bfcbd396be2210c7f98f3fb8cfaac206d072d78f9c243749bdfce1",
-      "bytes": 531378,
-      "rows": 24,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9417",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009417.lean\",\"3bb35f40a8d29919477e0e586ae6037da4898ae7b3ae2605178cf3ad0d2ba0e8\",0,\"lean_workbook_plus_20048\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009418.lean\",\"0a3b01611593552a75a5469e234a1088ea9a7d92444616e459b24552bda1d313\",0,\"lean_workbook_36240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009419.lean\",\"d99be42ef6d341955ee92940a833a2fb4813880cf3083f9f32fdd00fde492435\",0,\"lean_workbook_28583\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 531378,
+      "path": "data/train/p3a/oproofs-s00002-r00009416-n000004-0000-238f1ba3a1bfcbd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "238f1ba3a1bfcbd396be2210c7f98f3fb8cfaac206d072d78f9c243749bdfce1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009420-n000004.json b/manifests/batches/oproofs/s00002-r00009420-n000004.json
index 81c141bd811bad90a2440396af45eeb11ec78871..3c790ddb9ef563ae31c8df684eb05def9bc8a342 100644
--- a/manifests/batches/oproofs/s00002-r00009420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009420-n000004",
   "batch_fingerprint": "870ca136fd8205994ad5d9a864a908b9f5c656b74658cd14f15d6d24d6e3b734",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9420",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9421",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9422",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9423"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009420.lean\",\"3cbb18718bd2ba66471dec857a2f40f02a8be539af026fcd40e459faecb0d538\",0,\"point_lies_on_ellipse\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009421.lean\",\"5fd3f804eb0b49ed62e31862cf7985fc1ed53ea0a6d1c64bcd71f110677c5626\",0,\"log_comparison\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009422.lean\",\"2b23095182321369d4026e76d644b5019b21c026fc328e4d989867f6bb531812\",0,\"lean_workbook_plus_72180\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009423.lean\",\"75c527e6aac10f9e147aa382e314809c518908cc7df9ab2371bf53da0a608794\",0,\"lean_workbook_29257\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009420-n000004-0000-b5ab682f74fd10f5.parquet",
-      "sha256": "b5ab682f74fd10f5e7636bb0af1da0c740325e91d31c07735d33c4cc6420b2e2",
       "bytes": 249776,
+      "path": "data/train/p49/oproofs-s00002-r00009420-n000004-0000-b5ab682f74fd10f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "b5ab682f74fd10f5e7636bb0af1da0c740325e91d31c07735d33c4cc6420b2e2"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009420-n000004-0000-0f9eec88b3954e13.parquet",
-      "sha256": "0f9eec88b3954e134f9abb0a689814c3420d32e329f3dea62cec01777d4f4d20",
       "bytes": 357772,
+      "path": "data/dev/p49/oproofs-s00002-r00009420-n000004-0000-0f9eec88b3954e13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "0f9eec88b3954e134f9abb0a689814c3420d32e329f3dea62cec01777d4f4d20"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009420-n000004-0000-d2c2f1969d92a3d2.parquet",
-      "sha256": "d2c2f1969d92a3d2fdff184bee68df04c512f824f647cf1307fa70508b7e5e89",
       "bytes": 326076,
+      "path": "data/internal_test/p49/oproofs-s00002-r00009420-n000004-0000-d2c2f1969d92a3d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "d2c2f1969d92a3d2fdff184bee68df04c512f824f647cf1307fa70508b7e5e89"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9420",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9421",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9422",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9423"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009420.lean\",\"3cbb18718bd2ba66471dec857a2f40f02a8be539af026fcd40e459faecb0d538\",0,\"point_lies_on_ellipse\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009421.lean\",\"5fd3f804eb0b49ed62e31862cf7985fc1ed53ea0a6d1c64bcd71f110677c5626\",0,\"log_comparison\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009422.lean\",\"2b23095182321369d4026e76d644b5019b21c026fc328e4d989867f6bb531812\",0,\"lean_workbook_plus_72180\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009423.lean\",\"75c527e6aac10f9e147aa382e314809c518908cc7df9ab2371bf53da0a608794\",0,\"lean_workbook_29257\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009424-n000004.json b/manifests/batches/oproofs/s00002-r00009424-n000004.json
index 8ba813d81e69ca3f6f037f116341cd4e40ddaf0a..e67f30aaa11fd8dd8233c6f32cb02ee22585e578 100644
--- a/manifests/batches/oproofs/s00002-r00009424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009424-n000004",
   "batch_fingerprint": "5979e6f24048c5abf91f2a218de9b575c99d88863fe2bb60b9a984e770369560",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009424-n000004-0000-3250f6e12b2d1c0e.parquet",
-      "sha256": "3250f6e12b2d1c0e38e2b1de19e3aae16432a88e1559f9deeae5a4803309790d",
-      "bytes": 268919,
-      "rows": 13,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009424-n000004-0000-98f68013917119cc.parquet",
-      "sha256": "98f68013917119cc881f8458650448e042c9abd381e62df6ca4204ab63c230d8",
-      "bytes": 50018,
-      "rows": 2,
-      "revision": "68318369748bc5ed7470a2af9982d0f572403080"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009425.lean\",\"c1e76079f2e5d18fd97acf4893eb8f4bbc6f5b41b4215cd14a4c4d0d41d4b358\",0,\"lean_workbook_plus_65596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009426.lean\",\"6e490b9ec6a662895e644aea45e3a9f9781d3068854903b30e67ec6cd0687fa0\",0,\"lean_workbook_27107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009427.lean\",\"57bc72b87257f1b66be156f6850df9994c1437746366fe7a4b227e8a9c4cd93e\",0,\"isCommRing\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268919,
+      "path": "data/train/p69/oproofs-s00002-r00009424-n000004-0000-3250f6e12b2d1c0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3250f6e12b2d1c0e38e2b1de19e3aae16432a88e1559f9deeae5a4803309790d"
+    },
+    {
+      "bytes": 50018,
+      "path": "data/internal_test/p69/oproofs-s00002-r00009424-n000004-0000-98f68013917119cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "98f68013917119cc881f8458650448e042c9abd381e62df6ca4204ab63c230d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009428-n000004.json b/manifests/batches/oproofs/s00002-r00009428-n000004.json
index d033693043ed08d20f865f032d63c2ff386800a8..01c4f72d1f1ff80288ba4ee123a55e3d71ac3648 100644
--- a/manifests/batches/oproofs/s00002-r00009428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009428-n000004",
   "batch_fingerprint": "4e8ea6ad81446050bbd20b669a5dfc5c8200824f5bac092a6c1eee2e817dd622",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009428-n000004-0000-fc0a4b72fce2eb69.parquet",
-      "sha256": "fc0a4b72fce2eb6928cc107edd431ce5db13a708cd1ab07a5db20a1a108d18ec",
-      "bytes": 649721,
-      "rows": 14,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009429.lean\",\"cc75d6433cf002c4e896aaa6979c8aaa2ec76db1474e7cc496b3e244c59b6640\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009430.lean\",\"df52cb48bbc75b2ef03c60fd3703b3f8d7ccd09ec36b40476f92173e581b99a7\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009431.lean\",\"6e53cf0670a67425acfa1d882e473d612f046c57e9a9a44af9217fe173ad855f\",0,\"solution_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649721,
+      "path": "data/train/p53/oproofs-s00002-r00009428-n000004-0000-fc0a4b72fce2eb69.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fc0a4b72fce2eb6928cc107edd431ce5db13a708cd1ab07a5db20a1a108d18ec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009432-n000004.json b/manifests/batches/oproofs/s00002-r00009432-n000004.json
index c49af6dcd505955ca2a36290cb70abf30ba162e8..7db828e87509f4bc821fccdb0551fa4a742c84ca 100644
--- a/manifests/batches/oproofs/s00002-r00009432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009432-n000004",
   "batch_fingerprint": "cf454ad2f94ff7adfdfcb7b0ea5da57cb5746c1c272eb674e1469cb56dbd0174",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009432-n000004-0000-ea9a82eede76af5e.parquet",
-      "sha256": "ea9a82eede76af5ee09f1f491ea7b06e80ece686495aade7a31555e39c9b814b",
-      "bytes": 1227647,
-      "rows": 13,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009432-n000004-0001-d32bd1c2ad883fa4.parquet",
-      "sha256": "d32bd1c2ad883fa477c935478b8b324777954e9f73cbbecfc7affcc72ca5e7d9",
-      "bytes": 398804,
-      "rows": 9,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009433.lean\",\"2b6763704ac177574e7b9e62ff58f6cb036fb8bb106a0b925b76df15b9e35ec4\",0,\"algebra_376763\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009434.lean\",\"a4069fca2fc91c97fcfd06f819d70c59a1e799129decafe73125b69b5217df75\",0,\"Real_cyclic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009435.lean\",\"951afa1b7547076da761ca5e2d8e45f6078cba9fc890fe4cd308319e714b69b9\",0,\"algebraic_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1227647,
+      "path": "data/train/p2f/oproofs-s00002-r00009432-n000004-0000-ea9a82eede76af5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ea9a82eede76af5ee09f1f491ea7b06e80ece686495aade7a31555e39c9b814b"
+    },
+    {
+      "bytes": 398804,
+      "path": "data/train/p2f/oproofs-s00002-r00009432-n000004-0001-d32bd1c2ad883fa4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d32bd1c2ad883fa477c935478b8b324777954e9f73cbbecfc7affcc72ca5e7d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009436-n000004.json b/manifests/batches/oproofs/s00002-r00009436-n000004.json
index 053515d82fda4440317fc0bc3f53f5960e4603ff..d481d8399c3f3f1d3f572de96edf0a2d51c9941a 100644
--- a/manifests/batches/oproofs/s00002-r00009436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009436-n000004",
   "batch_fingerprint": "7a665cbbbf18f018aa91015a1b4a652ba4baa50a782d6526bc2f12c865d29c85",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009436-n000004-0000-ac0f5a123b4d99a7.parquet",
-      "sha256": "ac0f5a123b4d99a7c4d6b03bf679f18807c03ccfc65a2c41b255b9b221535d93",
-      "bytes": 1044877,
-      "rows": 16,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009436-n000004-0001-135755e3964ac1ae.parquet",
-      "sha256": "135755e3964ac1ae7c2b2b0b679ef33fd2155533a1138457fe254731be03651e",
-      "bytes": 94619,
-      "rows": 2,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009437.lean\",\"250cb558a951e8c81cbee9d54afe3232020b345b0cce9f1003c567537e85ca3b\",0,\"Prove_446589\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009438.lean\",\"087a4d44f88206f5b0b6f4a577d82514e08172199d2e123c2e74acda204081e8\",0,\"sqrt_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009439.lean\",\"64d6a348b33d0b5e85343a44b98e03ef9e98680b658e6f8ee55e3b1f12b0cd7e\",0,\"inequalities_9879\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1044877,
+      "path": "data/train/p6d/oproofs-s00002-r00009436-n000004-0000-ac0f5a123b4d99a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ac0f5a123b4d99a7c4d6b03bf679f18807c03ccfc65a2c41b255b9b221535d93"
+    },
+    {
+      "bytes": 94619,
+      "path": "data/train/p6d/oproofs-s00002-r00009436-n000004-0001-135755e3964ac1ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "135755e3964ac1ae7c2b2b0b679ef33fd2155533a1138457fe254731be03651e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009440-n000004.json b/manifests/batches/oproofs/s00002-r00009440-n000004.json
index 37235c599f9811a8e2bcc11425f62b517c817131..750630a4ec9ff01c842026f4e41f57abe40fc352 100644
--- a/manifests/batches/oproofs/s00002-r00009440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009440-n000004",
   "batch_fingerprint": "d8292183e1b3ac738d303c3a2d1b57384d8f255f41f1456d3afd65f78b648d33",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009440-n000004-0000-5c4c040b3adc8c79.parquet",
-      "sha256": "5c4c040b3adc8c79095dcebe0aac1b5c5f3e850ad47fb9d775383e8007dee72e",
-      "bytes": 519512,
-      "rows": 19,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009441.lean\",\"615c5ba65482493a4a46730cad38cbd906ab27897f8f397e793784ffa33cf9cf\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009442.lean\",\"997e4bac9dfe650d1292c052010ce79ede47d4e914f8f8f656ff21346bcab68d\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009443.lean\",\"74736a7a8d1cc42ad0deca97b07ebdb7cb7159fcdfd27f2e26ce0022f15006a2\",0,\"algebra\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 519512,
+      "path": "data/train/pc6/oproofs-s00002-r00009440-n000004-0000-5c4c040b3adc8c79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5c4c040b3adc8c79095dcebe0aac1b5c5f3e850ad47fb9d775383e8007dee72e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009444-n000004.json b/manifests/batches/oproofs/s00002-r00009444-n000004.json
index 89d5aef2bf87cb953c462de4abc4e74155693759..a62095655adb4367422e2caa7962a3f0d23df8b8 100644
--- a/manifests/batches/oproofs/s00002-r00009444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009444-n000004",
   "batch_fingerprint": "ca23a46617b3551eaca0dd8faa405b2bb8e130caf4ca58d432d1536fe1ad5828",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009444-n000004-0000-5a2151df9c549711.parquet",
-      "sha256": "5a2151df9c5497113231382c64fc908fdbd5aa8d25423b8f85b55e02e6f9b6bc",
-      "bytes": 1000172,
-      "rows": 19,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009444-n000004-0001-e49afef3c5f72802.parquet",
-      "sha256": "e49afef3c5f728029fa16e13794a768a6628d8c40258dd1dab01419b34a1d3ce",
-      "bytes": 1351919,
-      "rows": 2,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9445",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9446",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009445.lean\",\"d29484b61e45191499a2cb45f67f6c305aace69981141b206d5fbae076936608\",0,\"OddIntSquare\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009446.lean\",\"182a7a44e229c57c7c51461341a1cb050b77dbc96895804d04810d6db6393769\",0,\"algebra_481966\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009447.lean\",\"3f79de54e6857accb4ea5d1c9187ad605de65cb5444ae0369a67da4ebf8232c6\",0,\"sqrt_311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1000172,
+      "path": "data/train/pee/oproofs-s00002-r00009444-n000004-0000-5a2151df9c549711.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5a2151df9c5497113231382c64fc908fdbd5aa8d25423b8f85b55e02e6f9b6bc"
+    },
+    {
+      "bytes": 1351919,
+      "path": "data/train/pee/oproofs-s00002-r00009444-n000004-0001-e49afef3c5f72802.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e49afef3c5f728029fa16e13794a768a6628d8c40258dd1dab01419b34a1d3ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009448-n000004.json b/manifests/batches/oproofs/s00002-r00009448-n000004.json
index 394741a8fbe92c72b489485844974419ab769c88..6a751b87f1e6500f29b309b9945a0dbf6ddea8f5 100644
--- a/manifests/batches/oproofs/s00002-r00009448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009448-n000004",
   "batch_fingerprint": "7cdcc6a96e35ea832a192216bd51f9f3a5de0cb5d287aebd3713c879317e4b32",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9448",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9449",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9450",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9451"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009448.lean\",\"87b63e95409011ba1f028f23a026b78143fa03a0c3be58050103387fed2aa9d8\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009449.lean\",\"038c7d82078e59ccd3b10fb51b22f3fe0a2f7b5c249f2449932f1061b3b35b03\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009450.lean\",\"fa44b9a74588b73f1b21a3ea4ae194edead955bf2c61739cbadba4850c666005\",0,\"algebra_471968\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009451.lean\",\"ccc0799b9b801580f5cd046967b7b51d2a49194df15acc40003272e291ad0521\",0,\"for_all_n\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009448-n000004-0000-543445deb41434e2.parquet",
-      "sha256": "543445deb41434e25189d09d0741726a2a0d5c881b29e75e50cd05d9ebe6f9a4",
       "bytes": 1168360,
+      "path": "data/train/p68/oproofs-s00002-r00009448-n000004-0000-543445deb41434e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "543445deb41434e25189d09d0741726a2a0d5c881b29e75e50cd05d9ebe6f9a4"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009448-n000004-0001-335e37dd48cf6f42.parquet",
-      "sha256": "335e37dd48cf6f42d90e071d86239c8d4fdef96d60bc9e38270cfe92f5450820",
       "bytes": 733737,
+      "path": "data/train/p68/oproofs-s00002-r00009448-n000004-0001-335e37dd48cf6f42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "335e37dd48cf6f42d90e071d86239c8d4fdef96d60bc9e38270cfe92f5450820"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009448-n000004-0000-9a7a827a1fdbf58b.parquet",
-      "sha256": "9a7a827a1fdbf58b591ca13573e62be6150b7293e37c373e23584a6910a12a9e",
       "bytes": 172244,
+      "path": "data/internal_test/p68/oproofs-s00002-r00009448-n000004-0000-9a7a827a1fdbf58b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "9a7a827a1fdbf58b591ca13573e62be6150b7293e37c373e23584a6910a12a9e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9448",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9449",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9450",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9451"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009448.lean\",\"87b63e95409011ba1f028f23a026b78143fa03a0c3be58050103387fed2aa9d8\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009449.lean\",\"038c7d82078e59ccd3b10fb51b22f3fe0a2f7b5c249f2449932f1061b3b35b03\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009450.lean\",\"fa44b9a74588b73f1b21a3ea4ae194edead955bf2c61739cbadba4850c666005\",0,\"algebra_471968\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009451.lean\",\"ccc0799b9b801580f5cd046967b7b51d2a49194df15acc40003272e291ad0521\",0,\"for_all_n\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009452-n000004.json b/manifests/batches/oproofs/s00002-r00009452-n000004.json
index a0a1f64b3a3785ed4142c76bbe66d09be248d98e..a036c064f7b7ee488feddeefff3b0d449f69444f 100644
--- a/manifests/batches/oproofs/s00002-r00009452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009452-n000004",
   "batch_fingerprint": "077732c4948ce8fb0f03bc4d5ab42dc41d6def6868edccf502b2ee2c60563947",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9452",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9453",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9454",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9455"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009452.lean\",\"fe6d762081c11d49ca60f844ec47baeada63fe2c67e44be5a081dd623cff0baa\",0,\"lim1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009453.lean\",\"5b985ebdb6229d101c9b3d359b6050b75f7c5455e1a9e2a243b0253b7331019c\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009454.lean\",\"ada2f1404cc9fad80ba90f305a5c0a3a556ad271fdf6ee055de62f3e2594998d\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009455.lean\",\"a37e9fb51dec8b3d8870dcbc9e6c6f495fc7a32d4d6eae0b00027e9e2096e16c\",0,\"q\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009452-n000004-0000-ae9e2e59e1255b63.parquet",
-      "sha256": "ae9e2e59e1255b63f3982c5968e257e7a66fd7b1723a531882cc337223614d79",
       "bytes": 482939,
+      "path": "data/train/p68/oproofs-s00002-r00009452-n000004-0000-ae9e2e59e1255b63.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "ae9e2e59e1255b63f3982c5968e257e7a66fd7b1723a531882cc337223614d79"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009452-n000004-0000-bdc33818c547cc9f.parquet",
-      "sha256": "bdc33818c547cc9fe61542a38136c49ee0180f3fcbd04f405946f63829607993",
       "bytes": 76996,
+      "path": "data/dev/p68/oproofs-s00002-r00009452-n000004-0000-bdc33818c547cc9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "bdc33818c547cc9fe61542a38136c49ee0180f3fcbd04f405946f63829607993"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009452-n000004-0000-101c3d42bdce9a10.parquet",
-      "sha256": "101c3d42bdce9a102233157cae6496f21cb8f4abc607b3817555d0975a8e3b42",
       "bytes": 62525,
+      "path": "data/internal_test/p68/oproofs-s00002-r00009452-n000004-0000-101c3d42bdce9a10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
+      "sha256": "101c3d42bdce9a102233157cae6496f21cb8f4abc607b3817555d0975a8e3b42"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9452",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9453",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9454",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9455"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009452.lean\",\"fe6d762081c11d49ca60f844ec47baeada63fe2c67e44be5a081dd623cff0baa\",0,\"lim1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009453.lean\",\"5b985ebdb6229d101c9b3d359b6050b75f7c5455e1a9e2a243b0253b7331019c\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009454.lean\",\"ada2f1404cc9fad80ba90f305a5c0a3a556ad271fdf6ee055de62f3e2594998d\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009455.lean\",\"a37e9fb51dec8b3d8870dcbc9e6c6f495fc7a32d4d6eae0b00027e9e2096e16c\",0,\"q\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009456-n000004.json b/manifests/batches/oproofs/s00002-r00009456-n000004.json
index 5d952776c1bed94ea724913351105a1032fabe97..0d544a3105c8b3515ef1da0d16335e5447a9c953 100644
--- a/manifests/batches/oproofs/s00002-r00009456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009456-n000004",
   "batch_fingerprint": "a5b557b6b0db7d592d00f6f2dadb2a0e715258d38934c6602a35e756f82ea718",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9456",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9457",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9458",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9459"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009456.lean\",\"4e6ccb2ec35a35eae6cf233a2fdaab908a7613d4b059f23e365344c11fbf5bd3\",0,\"algebra_456802\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009457.lean\",\"f92679fe2f649001219cb3479fa963f29403b71ef75ad993cca8f1a1b0ffaf7e\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009458.lean\",\"f1ad9fdd3b1beab15a1317e8a19b6c853b81c8f4fc7737d2b5f1271814de9fb6\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009459.lean\",\"a7dd98fc22d82d1fb14bdb1c7f986ef84d3f2c73554fa4643b95bd176d5df749\",0,\"algebra_456812\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009456-n000004-0000-93b953abed2aa149.parquet",
-      "sha256": "93b953abed2aa1497bf3fb87c7e1635ed682f974d79bda4abd7a0c920ed2e312",
       "bytes": 1165132,
+      "path": "data/train/p2d/oproofs-s00002-r00009456-n000004-0000-93b953abed2aa149.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "93b953abed2aa1497bf3fb87c7e1635ed682f974d79bda4abd7a0c920ed2e312"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009456-n000004-0001-01ce39910303a902.parquet",
-      "sha256": "01ce39910303a90235566e5942b068764cb72c09c05d3d53487deb26a7aa3e72",
       "bytes": 411734,
+      "path": "data/train/p2d/oproofs-s00002-r00009456-n000004-0001-01ce39910303a902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "01ce39910303a90235566e5942b068764cb72c09c05d3d53487deb26a7aa3e72"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009456-n000004-0000-1733fd68b0268c14.parquet",
-      "sha256": "1733fd68b0268c14348ab271561849d5fdc39c20d4daf544d49b3eb06f23fc80",
       "bytes": 57612,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00009456-n000004-0000-1733fd68b0268c14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "c6af7a761457ce2d71a46ef386cf8a159b15a747"
+      "sha256": "1733fd68b0268c14348ab271561849d5fdc39c20d4daf544d49b3eb06f23fc80"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9456",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9457",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9458",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9459"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009456.lean\",\"4e6ccb2ec35a35eae6cf233a2fdaab908a7613d4b059f23e365344c11fbf5bd3\",0,\"algebra_456802\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009457.lean\",\"f92679fe2f649001219cb3479fa963f29403b71ef75ad993cca8f1a1b0ffaf7e\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009458.lean\",\"f1ad9fdd3b1beab15a1317e8a19b6c853b81c8f4fc7737d2b5f1271814de9fb6\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009459.lean\",\"a7dd98fc22d82d1fb14bdb1c7f986ef84d3f2c73554fa4643b95bd176d5df749\",0,\"algebra_456812\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009460-n000004.json b/manifests/batches/oproofs/s00002-r00009460-n000004.json
index feef08422187a3c71710a48312f64945062c7bff..e5622dea5bdc5404521219e0c895ae77ecb005b9 100644
--- a/manifests/batches/oproofs/s00002-r00009460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009460-n000004",
   "batch_fingerprint": "15e1a28d8bc1dede5fd774110e848a006d4bd101e9a95be0c08fcfc7b9b7ae08",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009460-n000004-0000-4aa4473fbca01d8f.parquet",
-      "sha256": "4aa4473fbca01d8f935c1aa16679951772a6b524e72f5008886a29070886fb57",
-      "bytes": 667498,
-      "rows": 13,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009460-n000004-0000-35aa1ecfc4b3d97d.parquet",
-      "sha256": "35aa1ecfc4b3d97d86e52bde55c5ffad2eabb43ef148816733cf360d5e4ad8ca",
-      "bytes": 209068,
-      "rows": 5,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009461.lean\",\"d2e61ec55cbc60e5d184f522cc41c3c8567adc9026c74b92f8c0d1f4879a8e56\",0,\"k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009462.lean\",\"0b6d2ba94b86ac40587e5bd71803b03960c67bf8266e6de7b07dad83d3ab9c90\",0,\"sqrt_467389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009463.lean\",\"2f5c211484c0f2bd4a53c679fe91409b21d42e0994bc8cbb02ff9cc37ee6914c\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 667498,
+      "path": "data/train/pff/oproofs-s00002-r00009460-n000004-0000-4aa4473fbca01d8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4aa4473fbca01d8f935c1aa16679951772a6b524e72f5008886a29070886fb57"
+    },
+    {
+      "bytes": 209068,
+      "path": "data/internal_test/pff/oproofs-s00002-r00009460-n000004-0000-35aa1ecfc4b3d97d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "35aa1ecfc4b3d97d86e52bde55c5ffad2eabb43ef148816733cf360d5e4ad8ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009464-n000004.json b/manifests/batches/oproofs/s00002-r00009464-n000004.json
index 74a2aef3149b9c1aad76dec715e153b6b9589bd9..ebbf25618d27098285e64ce8713ce3566ab7f74b 100644
--- a/manifests/batches/oproofs/s00002-r00009464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009464-n000004",
   "batch_fingerprint": "57279c127676f376b94ea4f1caded2902ab13f1d9b7160411c4bd7add6bbcba0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009464-n000004-0000-22641a96ac9a3091.parquet",
-      "sha256": "22641a96ac9a3091f321e8a24b0d3a4e30a0593c8a39dd715f6a220e632f4e4c",
-      "bytes": 1417140,
-      "rows": 7,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009464-n000004-0001-d083d46ad9a007e2.parquet",
-      "sha256": "d083d46ad9a007e225fa32afb5ca0ab03c96a9d393bc9ce22c5f56c8354a3f10",
-      "bytes": 455932,
-      "rows": 15,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9465",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009465.lean\",\"5c39bb08170c9961a0aa236aaaf8552cd5834d2228b065416205e66a633b5496\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009466.lean\",\"700b5726e505dd0bfdae1ad954c70cd3ee4266cfb41417d9c41ab7d8465e43fd\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009467.lean\",\"af3bd2d13a6aed6c6712bf5ee9711ec3544bcdc287d8e89260f1a73a653e2ba9\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1417140,
+      "path": "data/train/pb2/oproofs-s00002-r00009464-n000004-0000-22641a96ac9a3091.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "22641a96ac9a3091f321e8a24b0d3a4e30a0593c8a39dd715f6a220e632f4e4c"
+    },
+    {
+      "bytes": 455932,
+      "path": "data/train/pb2/oproofs-s00002-r00009464-n000004-0001-d083d46ad9a007e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d083d46ad9a007e225fa32afb5ca0ab03c96a9d393bc9ce22c5f56c8354a3f10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009468-n000004.json b/manifests/batches/oproofs/s00002-r00009468-n000004.json
index 45222f1841af14478baa078e07320eb0d909c20b..3eae49019b2f9c5fef329e76eb7f71f0683584bd 100644
--- a/manifests/batches/oproofs/s00002-r00009468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009468-n000004",
   "batch_fingerprint": "ab218522a39b0f606ced51020ec8be0d839a5960ff27921ce7b3afcc4bdea20a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009468-n000004-0000-22aa69632969b22f.parquet",
-      "sha256": "22aa69632969b22f9a8ed077022eeb75479effc1b2f528eddc0c8ed76465380d",
-      "bytes": 956164,
-      "rows": 21,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009468-n000004-0000-1cade62b4eaa2263.parquet",
-      "sha256": "1cade62b4eaa2263c01d825a1582291182ab36ec193c3b63c0d563d303cc382c",
-      "bytes": 54598,
-      "rows": 5,
-      "revision": "1e0ee99adf00497f46325d994d90484d267725aa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009469.lean\",\"eb0dc763588b1c1623f011447e27e0719a1aa6c7ce18706fbd6ca086b06e8a68\",0,\"Real.sqrt_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009470.lean\",\"6908c959b7eb53469d1a02404bd449684098ea6f1d9e4c3b38dc841c8eeda840\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009471.lean\",\"5a301df0f9b18c8bfe519805b82e9fd13ae403ee2659821b6221646e84f78c57\",0,\"algebra_435698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 956164,
+      "path": "data/train/pc6/oproofs-s00002-r00009468-n000004-0000-22aa69632969b22f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "22aa69632969b22f9a8ed077022eeb75479effc1b2f528eddc0c8ed76465380d"
+    },
+    {
+      "bytes": 54598,
+      "path": "data/internal_test/pc6/oproofs-s00002-r00009468-n000004-0000-1cade62b4eaa2263.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1cade62b4eaa2263c01d825a1582291182ab36ec193c3b63c0d563d303cc382c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009472-n000004.json b/manifests/batches/oproofs/s00002-r00009472-n000004.json
index 6d46a859ff239cfc30fedba94eb816ab784fc853..08b52c326812df491702ddc8e5ae17bef7b55d1b 100644
--- a/manifests/batches/oproofs/s00002-r00009472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009472-n000004",
   "batch_fingerprint": "ff357fa4b8e86c710cd354d91ae0b1c1b7060e1331ddb8c8331ef382cead0cc0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009472-n000004-0000-d2182c449efa71ed.parquet",
-      "sha256": "d2182c449efa71ed7b31a6022c796cc90caf9083fce6ea6ca409338ed996ecb2",
-      "bytes": 675994,
-      "rows": 19,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009472-n000004-0001-2500d2ac575f321f.parquet",
-      "sha256": "2500d2ac575f321f30a20dec136c997913bb715fcf6a9de01a643dc0bea112f2",
-      "bytes": 531229,
-      "rows": 4,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009473.lean\",\"9097ab05f7e33a5d631738217401ca168cfdf7b5d22978a9c3a73ab6bd04d1f8\",0,\"algebra_585019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009474.lean\",\"753cbb9d3e23f27ccc9f380d7b1295923a0e0b1078a6180db3a8d7b83c06196e\",0,\"Real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009475.lean\",\"6f671d89c204ca0eb9f3bde742f4888e8fe44d772ae75bfbeccad58407c5fccd\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 675994,
+      "path": "data/train/p5e/oproofs-s00002-r00009472-n000004-0000-d2182c449efa71ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d2182c449efa71ed7b31a6022c796cc90caf9083fce6ea6ca409338ed996ecb2"
+    },
+    {
+      "bytes": 531229,
+      "path": "data/train/p5e/oproofs-s00002-r00009472-n000004-0001-2500d2ac575f321f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2500d2ac575f321f30a20dec136c997913bb715fcf6a9de01a643dc0bea112f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009476-n000004.json b/manifests/batches/oproofs/s00002-r00009476-n000004.json
index 16127fd6c9eb894e66a1d353d96e83206c32a129..4b33c9a892194f103369256ad5b734b4da94c3e5 100644
--- a/manifests/batches/oproofs/s00002-r00009476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009476-n000004",
   "batch_fingerprint": "88a70940233d1b23ce3c7d09ebaaa3c4be53275732200186911bcc054e842afc",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000009/oproofs-s00002-r00009476-n000004-0000-3a2745371d89946d.parquet",
-      "sha256": "3a2745371d89946d8ba546aa3b32e39d956f6706ed79bf7f6f75125adecd049f",
-      "bytes": 944909,
-      "rows": 13,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000009/oproofs-s00002-r00009476-n000004-0000-008111a402d672b1.parquet",
-      "sha256": "008111a402d672b19b3367bda5f0ac3f10832bbaa4a62125633643cdd1285c32",
-      "bytes": 154154,
-      "rows": 4,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9477",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9478",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009477.lean\",\"5d61eed9c3203fe0a0d56af66f070324e2c7ee2bab8bd98066c776c82388f36a\",0,\"algebraicComplex\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009478.lean\",\"21dd6e2cc9bbba8c1b03a8e2bbc44d3edcb3ef3bec88685e632c3df6189e0f0c\",0,\"sum_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009479.lean\",\"16ec2faa1593c3786aabcbb15cfb9a0009fd7112aca45cde6e71f41998b66c13\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 944909,
+      "path": "data/train/p6a/oproofs-s00002-r00009476-n000004-0000-3a2745371d89946d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3a2745371d89946d8ba546aa3b32e39d956f6706ed79bf7f6f75125adecd049f"
+    },
+    {
+      "bytes": 154154,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00009476-n000004-0000-008111a402d672b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "008111a402d672b19b3367bda5f0ac3f10832bbaa4a62125633643cdd1285c32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009480-n000004.json b/manifests/batches/oproofs/s00002-r00009480-n000004.json
index 7739434f77e9178edf84ab363253955e30c1023a..729490dde4578450db310eccc4ef0b10c2d26a05 100644
--- a/manifests/batches/oproofs/s00002-r00009480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009480-n000004",
   "batch_fingerprint": "6480a24c30f6f58a426bf9ec6624116968ec6a0d7d2d891774b270910a746122",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009480-n000004-0000-845fb906f5ce2214.parquet",
-      "sha256": "845fb906f5ce2214b4e12b4c10add8d0a7414a6b20cdb57917bff502043e923e",
-      "bytes": 469778,
-      "rows": 12,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009480-n000004-0000-814b736376275f33.parquet",
-      "sha256": "814b736376275f332ab3ffc2d58cd6a9caa30fb3201269724d73f503f086c51f",
-      "bytes": 345160,
-      "rows": 6,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9481",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009481.lean\",\"ff00dde5ff5307821c5080cce402aeddb8d22970ab502e7833d92b004f078052\",0,\"sqrt_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009482.lean\",\"7c74c6d2520420279da6f1ae8ed83fb652a2dd41b85b1723d607fbf83c6e06b5\",0,\"algebra_497292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009483.lean\",\"7dfac47a5ea49fe00a2ca427bfd28bce2b7007a84cfb74429aafd582a1d54383\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 469778,
+      "path": "data/train/pde/oproofs-s00002-r00009480-n000004-0000-845fb906f5ce2214.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "845fb906f5ce2214b4e12b4c10add8d0a7414a6b20cdb57917bff502043e923e"
+    },
+    {
+      "bytes": 345160,
+      "path": "data/dev/pde/oproofs-s00002-r00009480-n000004-0000-814b736376275f33.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "814b736376275f332ab3ffc2d58cd6a9caa30fb3201269724d73f503f086c51f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009484-n000004.json b/manifests/batches/oproofs/s00002-r00009484-n000004.json
index 868905d8da5b7e994932c335e8d3efdcd71b736a..44011b07d8d8dc68d4395db44dff1f5093b41c29 100644
--- a/manifests/batches/oproofs/s00002-r00009484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009484-n000004",
   "batch_fingerprint": "480961d74640a1cb7e9d106ac5951fab0cf6398f29536e17e5203aa90de28061",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9484",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9485",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9486",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9487"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009484.lean\",\"1b1d6a85b7f1c9232f8bce95eeaa8a4b23bf0845998f32f2de3836df872556cd\",0,\"algebra_475894\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009485.lean\",\"bfa057933350e0f997b225a03b8ad41c163de489eea7fe0dbe8877346eabe55a\",0,\"sqrt_a_b\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009486.lean\",\"b18406c036bd8c9d308477caad24a4d00ae2f5b9474e94ae25c066b0f5df4ed4\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009487.lean\",\"0753e22269b45a95a0b00ee6dffff0941d59260917243085b2a9ad641721eaeb\",0,\"max_prime_divisor\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009484-n000004-0000-e2e3f55ce1894644.parquet",
-      "sha256": "e2e3f55ce1894644d0edcca23694a59bcc38d8a047acf6fbc8b545f9f63bb53c",
       "bytes": 1022447,
+      "path": "data/train/p6a/oproofs-s00002-r00009484-n000004-0000-e2e3f55ce1894644.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
+      "sha256": "e2e3f55ce1894644d0edcca23694a59bcc38d8a047acf6fbc8b545f9f63bb53c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009484-n000004-0001-4c48ab6067f2d6a4.parquet",
-      "sha256": "4c48ab6067f2d6a45a589fe04410e587f26044e4f649b27e2dc285accaa5d766",
       "bytes": 926580,
+      "path": "data/train/p6a/oproofs-s00002-r00009484-n000004-0001-4c48ab6067f2d6a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
+      "sha256": "4c48ab6067f2d6a45a589fe04410e587f26044e4f649b27e2dc285accaa5d766"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009484-n000004-0002-8a52068e131275ee.parquet",
-      "sha256": "8a52068e131275eec28a298a5c732782e5fdafa4462fc351c186d490d1777d29",
       "bytes": 964686,
+      "path": "data/train/p6a/oproofs-s00002-r00009484-n000004-0002-8a52068e131275ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
+      "sha256": "8a52068e131275eec28a298a5c732782e5fdafa4462fc351c186d490d1777d29"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009484-n000004-0000-b48b91ac559ad888.parquet",
-      "sha256": "b48b91ac559ad8889aa3826553c1d2c8085d01bfcb2f1356f43b781f28e92078",
       "bytes": 211473,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00009484-n000004-0000-b48b91ac559ad888.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
+      "sha256": "b48b91ac559ad8889aa3826553c1d2c8085d01bfcb2f1356f43b781f28e92078"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9484",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9485",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9486",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9487"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009484.lean\",\"1b1d6a85b7f1c9232f8bce95eeaa8a4b23bf0845998f32f2de3836df872556cd\",0,\"algebra_475894\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009485.lean\",\"bfa057933350e0f997b225a03b8ad41c163de489eea7fe0dbe8877346eabe55a\",0,\"sqrt_a_b\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009486.lean\",\"b18406c036bd8c9d308477caad24a4d00ae2f5b9474e94ae25c066b0f5df4ed4\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009487.lean\",\"0753e22269b45a95a0b00ee6dffff0941d59260917243085b2a9ad641721eaeb\",0,\"max_prime_divisor\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009488-n000004.json b/manifests/batches/oproofs/s00002-r00009488-n000004.json
index 7f5d264c72933df5da99ea4300021927a0b11288..d060b3f2afc4833e367a6837c3877c1c6264aec3 100644
--- a/manifests/batches/oproofs/s00002-r00009488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009488-n000004",
   "batch_fingerprint": "f6533d7dd66a1427a709a38e9650b575b7f2557d87f36fa40a772655d8f0e70a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009488-n000004-0000-0c9793bcc780f42b.parquet",
-      "sha256": "0c9793bcc780f42bbfd9b670c97fd1a840fab5f08897bde9c636a325741d65ac",
-      "bytes": 347300,
-      "rows": 16,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009488-n000004-0000-9afc22c4af86199f.parquet",
-      "sha256": "9afc22c4af86199f9bc250c77056158ffc3063906fd899b6e81c6c0bd235cced",
-      "bytes": 153016,
-      "rows": 7,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009489.lean\",\"59279ac226507392034f181e73faa6e59fa3c370a00a2ce2c4667276e3079dfe\",0,\"Real_ne_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009490.lean\",\"33013ec614f3206f81833609ccc8283f8230b0b349f792c523e52cc848281381\",0,\"Nat_eq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009491.lean\",\"c212a7bc603a373c07e58da5f7c30cd245c473fac67285ce3c3aedf93cd929dc\",0,\"max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 347300,
+      "path": "data/train/p61/oproofs-s00002-r00009488-n000004-0000-0c9793bcc780f42b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "0c9793bcc780f42bbfd9b670c97fd1a840fab5f08897bde9c636a325741d65ac"
+    },
+    {
+      "bytes": 153016,
+      "path": "data/dev/p61/oproofs-s00002-r00009488-n000004-0000-9afc22c4af86199f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9afc22c4af86199f9bc250c77056158ffc3063906fd899b6e81c6c0bd235cced"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009492-n000004.json b/manifests/batches/oproofs/s00002-r00009492-n000004.json
index 800dbb75b2b6e4a51b67517ad40f5373c47e50a5..c9162439740c93334b7640a3f8f0598752b1d5be 100644
--- a/manifests/batches/oproofs/s00002-r00009492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009492-n000004",
   "batch_fingerprint": "315456b8379bb34daa9af5f282752de372eb3be8c608b5742f736f356206825d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009492-n000004-0000-524ae43952831fbe.parquet",
-      "sha256": "524ae43952831fbef6ca8bc6f9dc3c5a85b9bf388a570f3d2db665132606a26a",
-      "bytes": 963062,
-      "rows": 13,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009493.lean\",\"6beb9db185061a035a6ad573c89b8403cd4d654609a5228896d6175ab66db830\",0,\"algebra_568169\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009494.lean\",\"400c201b224ebfa06e0294fb7d15a28e74064c93d54e746606c89e77bfe61482\",0,\"algebra_487628\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009495.lean\",\"df7fb7a6b2d2c722e161e7999ff6ebff8136996f762457d7a400bf6fb2029fc0\",0,\"algebra_486519\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 963062,
+      "path": "data/train/pe8/oproofs-s00002-r00009492-n000004-0000-524ae43952831fbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "524ae43952831fbef6ca8bc6f9dc3c5a85b9bf388a570f3d2db665132606a26a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009496-n000004.json b/manifests/batches/oproofs/s00002-r00009496-n000004.json
index ca29495d1bea8cbf4afc77d97b219bddc3f60032..4a46180b2c8ec040f6bd3e9ac16f1d6985d7bdda 100644
--- a/manifests/batches/oproofs/s00002-r00009496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009496-n000004",
   "batch_fingerprint": "af4218b57bf2ed746fcd99c11266575c94c30bb19910b400cdba5f7d3ca896cd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009496-n000004-0000-4dcdec2c75c5a093.parquet",
-      "sha256": "4dcdec2c75c5a0938d17f8268bf0033a4d10f67b819d9a5b91c7f91ca2e0b0d7",
-      "bytes": 1162643,
-      "rows": 30,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009497.lean\",\"31e4da1048cb0e11117c361ebccc5b699b5c4eb859de37efcc0781a3d95ac521\",0,\"algebraic_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009498.lean\",\"019598477dbab481e3cd481f402a3212c839e4345cbeed5937b62400bd617698\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009499.lean\",\"ebd1682beed900b626208a1c87c8f827c670e009206ec6d59a2b58b205938ba5\",0,\"ComplexNormAdd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1162643,
+      "path": "data/train/p24/oproofs-s00002-r00009496-n000004-0000-4dcdec2c75c5a093.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4dcdec2c75c5a0938d17f8268bf0033a4d10f67b819d9a5b91c7f91ca2e0b0d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009500-n000004.json b/manifests/batches/oproofs/s00002-r00009500-n000004.json
index e3f24d8bc527560ba70f2b153bca5c53017fbdac..24572af06c61c63ff69b10b2250a64ccd3f13806 100644
--- a/manifests/batches/oproofs/s00002-r00009500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009500-n000004",
   "batch_fingerprint": "ca8e2cf84cb9e3afd3e86fa91399e68de98fa4dfd2aa75545bc61956bcd4bed8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009500-n000004-0000-40a22394409cfd37.parquet",
-      "sha256": "40a22394409cfd3766701f25e58d26ca69c71dd7ef5037e0a6b7339cba51254b",
-      "bytes": 814004,
-      "rows": 23,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009501.lean\",\"80451e18a252b5d93912dc1c3a3123652d0a7dad7b806118e64a6189c2beee5e\",0,\"RealPower\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009502.lean\",\"875c23fbf37638dc7bc1d799ddc070a9a475c42db86bf98e32f8249a38af2f50\",0,\"algebra_468017\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009503.lean\",\"01d24397c555aa1936cb4d5f48085d04cad213c6d42307e1d473615a89ae70b9\",0,\"PrimeP\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 814004,
+      "path": "data/train/p56/oproofs-s00002-r00009500-n000004-0000-40a22394409cfd37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "40a22394409cfd3766701f25e58d26ca69c71dd7ef5037e0a6b7339cba51254b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009504-n000004.json b/manifests/batches/oproofs/s00002-r00009504-n000004.json
index 7c90f61af78a80e61617b97b80c298496d3e8119..1c51aa9a8ee062853addfa977ff162fd93a85fad 100644
--- a/manifests/batches/oproofs/s00002-r00009504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009504-n000004",
   "batch_fingerprint": "f77031ba4678e6addf7360e59aca8fd6a8e647ffb890e7b64f757de448cc417d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009504-n000004-0000-d9c2e13d0504d9db.parquet",
-      "sha256": "d9c2e13d0504d9db17d91e0868c2eb563f5a1b3350627ee6d585ad0b07d87831",
-      "bytes": 744048,
-      "rows": 30,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009505.lean\",\"241a92e94982b28c7317c96bac93b3f0c47853f40c3988d5da83ce02fcd8fa6b\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009506.lean\",\"82fa6607c4916164117456611b347a1df1c36215c743463042fa04a1930d8278\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009507.lean\",\"7a7ec374ff88423233ed99ffb3259e45ac44ece51113db96eee8cd9926610c97\",0,\"RealRoots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 744048,
+      "path": "data/train/pd4/oproofs-s00002-r00009504-n000004-0000-d9c2e13d0504d9db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d9c2e13d0504d9db17d91e0868c2eb563f5a1b3350627ee6d585ad0b07d87831"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009508-n000004.json b/manifests/batches/oproofs/s00002-r00009508-n000004.json
index 400ed956b99e030896c6c44e144e61392284d2eb..857af5c93dc8d729824bff0f91222c909fa4c45b 100644
--- a/manifests/batches/oproofs/s00002-r00009508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009508-n000004",
   "batch_fingerprint": "f72dc8414048b98e8f21ca7903721d59e081bd775c17bc8ddbdad5637eb6e41b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009508-n000004-0000-0ae170dc69be6054.parquet",
-      "sha256": "0ae170dc69be605453160f56044d4cf6c29ef7c95f643edc3bd70f51bf80fa94",
-      "bytes": 771476,
-      "rows": 23,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009509.lean\",\"4a441e1b00280c381d3b3668f4ffe5a893aacc0680476d362b953e1353466723\",0,\"solution_set\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009510.lean\",\"9d3cf32d28e87335fa5f35838499c24e6e76425eff4f3e975c4ad3ea24178a95\",0,\"algebra_486534\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009511.lean\",\"8be75b83497e9ba5045bd4ce3b6d1b4fd8325502c604b871a3db1a0ba6c33151\",0,\"sqrt_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 771476,
+      "path": "data/train/p4d/oproofs-s00002-r00009508-n000004-0000-0ae170dc69be6054.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "0ae170dc69be605453160f56044d4cf6c29ef7c95f643edc3bd70f51bf80fa94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009512-n000004.json b/manifests/batches/oproofs/s00002-r00009512-n000004.json
index 7f4b6b75c349493ad602248ec66699054d1112ef..cf3a016d6b2039719b9f40e8b76fc7200b8c1799 100644
--- a/manifests/batches/oproofs/s00002-r00009512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009512-n000004",
   "batch_fingerprint": "26f88399edd33ec4a3e7b57ecb2d2d6a3f643a072535dc6c875d3f0ae9fabc07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009512-n000004-0000-db543cdab73b7391.parquet",
-      "sha256": "db543cdab73b7391cafdbba2ccd5400dd93d9edf6162fff550f72e39a09a7baf",
-      "bytes": 951774,
-      "rows": 20,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009512-n000004-0001-7f78b1f1eac7dd32.parquet",
-      "sha256": "7f78b1f1eac7dd32f632c3ee217382c44531a7ebf358b4f1004684be65168041",
-      "bytes": 473795,
-      "rows": 6,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009513.lean\",\"def3d49efe67ebd640fe0cc0915d7c57df1742d06bc7d2c4ac86dcc7fae824e7\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009514.lean\",\"d2fdc8eb6a720c3d980b89b9777013da37f712b27a0e81f3a35eb0fad9a53891\",0,\"Prove_446589\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009515.lean\",\"64c5216ed3376febe0509f0df1e87c019083063bca9334452a4fc27607f11996\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 951774,
+      "path": "data/train/p11/oproofs-s00002-r00009512-n000004-0000-db543cdab73b7391.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "db543cdab73b7391cafdbba2ccd5400dd93d9edf6162fff550f72e39a09a7baf"
+    },
+    {
+      "bytes": 473795,
+      "path": "data/train/p11/oproofs-s00002-r00009512-n000004-0001-7f78b1f1eac7dd32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7f78b1f1eac7dd32f632c3ee217382c44531a7ebf358b4f1004684be65168041"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009516-n000004.json b/manifests/batches/oproofs/s00002-r00009516-n000004.json
index 584149211cb6419b0b19306a04dd724732faca2a..856c68b746fee90792832d0302c78ada9ea92af7 100644
--- a/manifests/batches/oproofs/s00002-r00009516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009516-n000004",
   "batch_fingerprint": "1aea3f88a19784be6044fe43a893beb19e6e2fe631f8824bacf1764ba46c792a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009516-n000004-0000-498074965a155364.parquet",
-      "sha256": "498074965a1553647fecca315b1911ce969b002f33889eb6ec67045f9dfacc74",
-      "bytes": 635043,
-      "rows": 18,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009517.lean\",\"1bdfc5a0d93d026cda4b85c5235cf550279bbb9fd66216d679108603c0725234\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009518.lean\",\"6d39de8ba5a29a66a70964e35588f1ca607783da10454e8583e078bf30f3bc0d\",0,\"prove_t\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009519.lean\",\"d361dc2ae04cffd5b91629e9bf5038818125a0fc1945206ee15c1c359ad4a67f\",0,\"algebra_481966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 635043,
+      "path": "data/train/p0e/oproofs-s00002-r00009516-n000004-0000-498074965a155364.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "498074965a1553647fecca315b1911ce969b002f33889eb6ec67045f9dfacc74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009520-n000004.json b/manifests/batches/oproofs/s00002-r00009520-n000004.json
index d8886fcc816d6d5ba7414a4d48a6e9b86f1659e9..0d598f70c9d36a1cd3ed8ddac0d450dd45a51176 100644
--- a/manifests/batches/oproofs/s00002-r00009520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009520-n000004",
   "batch_fingerprint": "8a197ccbc134cd9693a751b5704a738617f4a7adab83e7ff15b723b3e39bc1fb",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9520",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9521",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9522",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9523"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009520.lean\",\"9272bd5d73fe7f2018f9ed533a283b221ec2712f0653a18b00d2f64a9f9c5460\",0,\"algebra_376763\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009521.lean\",\"b5807ca43f1b62739a4efd69f7cbf76ea16a85a32b4d3a45468292a6ca5ae70f\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009522.lean\",\"b969dd38965c2e733c167a6b1ed16cab362f57e9e3721a3ea43c75f4ff737e53\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009523.lean\",\"35fb933748c09a3de7bcc4b8e5bd9d855a091f9708a233279c3550f6538e547c\",0,\"algebra_492846\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009520-n000004-0000-40e4c515477e30d0.parquet",
-      "sha256": "40e4c515477e30d003fdbced1b45fb41f4d334b6b3306f5ddebbd06385de9cad",
       "bytes": 957021,
+      "path": "data/train/pd1/oproofs-s00002-r00009520-n000004-0000-40e4c515477e30d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
+      "sha256": "40e4c515477e30d003fdbced1b45fb41f4d334b6b3306f5ddebbd06385de9cad"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009520-n000004-0001-4a056ad9fb81b9d6.parquet",
-      "sha256": "4a056ad9fb81b9d6d8fe8a432d23d05d5aebba8902e19bc3a8757c2d0b44324a",
       "bytes": 137328,
+      "path": "data/train/pd1/oproofs-s00002-r00009520-n000004-0001-4a056ad9fb81b9d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
+      "sha256": "4a056ad9fb81b9d6d8fe8a432d23d05d5aebba8902e19bc3a8757c2d0b44324a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009520-n000004-0000-ac65dbb504f3857c.parquet",
-      "sha256": "ac65dbb504f3857ca35a631c0c0c8c19b86699c4fd1dd4acdce5886e2f12b8dd",
       "bytes": 378519,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00009520-n000004-0000-ac65dbb504f3857c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
+      "sha256": "ac65dbb504f3857ca35a631c0c0c8c19b86699c4fd1dd4acdce5886e2f12b8dd"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9520",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9521",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9522",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9523"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009520.lean\",\"9272bd5d73fe7f2018f9ed533a283b221ec2712f0653a18b00d2f64a9f9c5460\",0,\"algebra_376763\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009521.lean\",\"b5807ca43f1b62739a4efd69f7cbf76ea16a85a32b4d3a45468292a6ca5ae70f\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009522.lean\",\"b969dd38965c2e733c167a6b1ed16cab362f57e9e3721a3ea43c75f4ff737e53\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009523.lean\",\"35fb933748c09a3de7bcc4b8e5bd9d855a091f9708a233279c3550f6538e547c\",0,\"algebra_492846\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009524-n000004.json b/manifests/batches/oproofs/s00002-r00009524-n000004.json
index 91274d1a42e208c1af50d045cb678fdbf9f17cf9..bc7c29b879f8cf25f9ae7d9535c497a9d5f8a86b 100644
--- a/manifests/batches/oproofs/s00002-r00009524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009524-n000004",
   "batch_fingerprint": "7ac74eedd31b7a9f0fdc932a06b1d2847972cb9edd5675b3deab4bf258e6e4a7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009524-n000004-0000-b337345fcb6beae3.parquet",
-      "sha256": "b337345fcb6beae3fa73121967c8ae4e985351bbdd4316122edd6480330f32c5",
-      "bytes": 595504,
-      "rows": 10,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009524-n000004-0000-e7c6b43448f94b78.parquet",
-      "sha256": "e7c6b43448f94b78ed5e3761a2dd309b60af83045a30095c151407a9814aa328",
-      "bytes": 631092,
-      "rows": 6,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9525",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009525.lean\",\"859df50d2b6d3fb4c32cd8425646fe4e1d183defa4ff02badb722e9e52d7c076\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009526.lean\",\"517f479b51e5f4625417c74a6cd1fd6475763662c379bfe65a0a975a6b0e0618\",0,\"sqrt_311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009527.lean\",\"a21c7ccccc8e0d1b6afb07a4a2349cbc74de0c5020c59fb199b4f393b2a3304e\",0,\"algebra_456758\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595504,
+      "path": "data/train/p36/oproofs-s00002-r00009524-n000004-0000-b337345fcb6beae3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b337345fcb6beae3fa73121967c8ae4e985351bbdd4316122edd6480330f32c5"
+    },
+    {
+      "bytes": 631092,
+      "path": "data/internal_test/p36/oproofs-s00002-r00009524-n000004-0000-e7c6b43448f94b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e7c6b43448f94b78ed5e3761a2dd309b60af83045a30095c151407a9814aa328"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009528-n000004.json b/manifests/batches/oproofs/s00002-r00009528-n000004.json
index b896d69976be07e6837fa8d823d0b1a655378a3a..8deb56f3d8e57613b6a169a84731365729721d15 100644
--- a/manifests/batches/oproofs/s00002-r00009528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009528-n000004",
   "batch_fingerprint": "677a11988e7476a691b05c99779ca49db70a498a9744d6bc6897fdb7e9e12bb3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009528-n000004-0000-b6b706d79e8f3512.parquet",
-      "sha256": "b6b706d79e8f3512fad730d60e45dfb87c04dd8c069a0b27adb504902d867490",
-      "bytes": 1362388,
-      "rows": 14,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009528-n000004-0000-b0959e4de1474639.parquet",
-      "sha256": "b0959e4de147463975b9dc01ac150c707a90f30ba319c625bc39c8a7963c0d06",
-      "bytes": 56538,
-      "rows": 3,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009529.lean\",\"24ca5c304ebf8bb3f6c8f049058e4f6de812d707a448d4c179bc5ba1c1338269\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009530.lean\",\"85510c55439e8456a60173b0b068072e5ab5518aeab7e7c7d7acbdf44e8b4fdd\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009531.lean\",\"7ee01bd1c539e41eaa5f29e0e36e90c296da69cfcb8193d30e72362cf6b6e376\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1362388,
+      "path": "data/train/pe7/oproofs-s00002-r00009528-n000004-0000-b6b706d79e8f3512.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b6b706d79e8f3512fad730d60e45dfb87c04dd8c069a0b27adb504902d867490"
+    },
+    {
+      "bytes": 56538,
+      "path": "data/internal_test/pe7/oproofs-s00002-r00009528-n000004-0000-b0959e4de1474639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b0959e4de147463975b9dc01ac150c707a90f30ba319c625bc39c8a7963c0d06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009532-n000004.json b/manifests/batches/oproofs/s00002-r00009532-n000004.json
index d46d92f20b71e9cb1ff06cf1c0fe6bec00dadc9d..603d7298d969e73fa0b307d408b6cbf2f51915c0 100644
--- a/manifests/batches/oproofs/s00002-r00009532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009532-n000004",
   "batch_fingerprint": "c03d4b18184a2cd50561babd4aa9941640bc91f88e5baa94a034bb81712a87c2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9532",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9533",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9534",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9535"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009532.lean\",\"5a7b577347765b7cb6b4e6a64b3dfc951964f80872a54e724b8f49b2679d1860\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009533.lean\",\"d2618e73bcb70c932390e1d1bd9ff0fb5cb16f5a0ac7a27ba68007dbd00765cf\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009534.lean\",\"c07d922d1326393ff1352f356b34af07a5f8eee8fe8d115f7a49ddf7bd053eca\",0,\"algebra_456802\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009535.lean\",\"9b6c3ed725f1b892a9dc10ec6394c10750435f5439245ea246a56bd4c9151a3b\",0,\"prove_f_prime\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009532-n000004-0000-cb82ce346a8d004d.parquet",
-      "sha256": "cb82ce346a8d004df2a315225c32229844a4bde356d50a01ec2194ff1d7cd329",
       "bytes": 459589,
+      "path": "data/train/pda/oproofs-s00002-r00009532-n000004-0000-cb82ce346a8d004d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
+      "sha256": "cb82ce346a8d004df2a315225c32229844a4bde356d50a01ec2194ff1d7cd329"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009532-n000004-0000-905ee4648479a3dc.parquet",
-      "sha256": "905ee4648479a3dce7df4a7260c332fa59ddc4c851e5723287f479b71c490b12",
       "bytes": 105079,
+      "path": "data/dev/pda/oproofs-s00002-r00009532-n000004-0000-905ee4648479a3dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
+      "sha256": "905ee4648479a3dce7df4a7260c332fa59ddc4c851e5723287f479b71c490b12"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009532-n000004-0000-7807a530cf5eb978.parquet",
-      "sha256": "7807a530cf5eb978bdedeae868590482b0a26654338b579b77a79453c96628d6",
       "bytes": 46486,
+      "path": "data/internal_test/pda/oproofs-s00002-r00009532-n000004-0000-7807a530cf5eb978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
+      "sha256": "7807a530cf5eb978bdedeae868590482b0a26654338b579b77a79453c96628d6"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9532",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9533",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9534",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9535"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009532.lean\",\"5a7b577347765b7cb6b4e6a64b3dfc951964f80872a54e724b8f49b2679d1860\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009533.lean\",\"d2618e73bcb70c932390e1d1bd9ff0fb5cb16f5a0ac7a27ba68007dbd00765cf\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009534.lean\",\"c07d922d1326393ff1352f356b34af07a5f8eee8fe8d115f7a49ddf7bd053eca\",0,\"algebra_456802\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009535.lean\",\"9b6c3ed725f1b892a9dc10ec6394c10750435f5439245ea246a56bd4c9151a3b\",0,\"prove_f_prime\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009536-n000004.json b/manifests/batches/oproofs/s00002-r00009536-n000004.json
index 103a59c20f6954e11966c23b5e3c26f4520985f1..5170316be519fd323a3faff2ccd2dec8297ee543 100644
--- a/manifests/batches/oproofs/s00002-r00009536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009536-n000004",
   "batch_fingerprint": "ed1ed2cb0f8a01222db62a2b668d866b431cbde55e4929ae937f4ee784e5cf6c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009536-n000004-0000-d248f54515a81b6a.parquet",
-      "sha256": "d248f54515a81b6a4f552ef32fedb8a6af40105a4c85a0c3f829cb34aa028e80",
-      "bytes": 541784,
-      "rows": 12,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009536-n000004-0001-c5d275f50442c9f1.parquet",
-      "sha256": "c5d275f50442c9f107ef070cd1ad1f1fdec0ea9a6a98e87916319ef40becb27e",
-      "bytes": 1365204,
-      "rows": 2,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009537.lean\",\"7d32914b6cfb9e600acd67a3b02c99bd6385b840378f1b47da390be8eab2a4a1\",0,\"k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009538.lean\",\"52c231eb0d2567ac912e15b6b4e9a8072f03baea7c6e27b4f12ce2671f918b01\",0,\"sqrt_467389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009539.lean\",\"bd601489f6cc92d5ba83b9b9c3683c8f2c29351a3bdd05873985f90602e38fd1\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541784,
+      "path": "data/train/p9b/oproofs-s00002-r00009536-n000004-0000-d248f54515a81b6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d248f54515a81b6a4f552ef32fedb8a6af40105a4c85a0c3f829cb34aa028e80"
+    },
+    {
+      "bytes": 1365204,
+      "path": "data/train/p9b/oproofs-s00002-r00009536-n000004-0001-c5d275f50442c9f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c5d275f50442c9f107ef070cd1ad1f1fdec0ea9a6a98e87916319ef40becb27e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009540-n000004.json b/manifests/batches/oproofs/s00002-r00009540-n000004.json
index 06c78b12a94be1b9a330015c241fd861eee93bda..ba74e6daa2ebc41bd89493c434daf6fe5d92b70b 100644
--- a/manifests/batches/oproofs/s00002-r00009540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009540-n000004",
   "batch_fingerprint": "f63c3f6e25407ef1abe1b9cc2715956a3949d701ed4b32d9e7fd4224d71fef95",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009540-n000004-0000-d3c0e1e6f3b656bd.parquet",
-      "sha256": "d3c0e1e6f3b656bd15db0f9b8eeb2e319a860ba28576c6b60758525ae454e443",
-      "bytes": 626493,
-      "rows": 30,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009540-n000004-0000-1253ae5fd78f5b48.parquet",
-      "sha256": "1253ae5fd78f5b4890c185de58e40ff985b22a8f5aea2cd5b1eb312c625efa7c",
-      "bytes": 51842,
-      "rows": 6,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009541.lean\",\"ca55696a9c616bccf1ea3be49e98ab87357932b4380978f42fdb643f7e070262\",0,\"sum_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009542.lean\",\"705ac1cb6f75bc955a708129f727f30f08755360f1ac4adabb73f1fe49b2adce\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009543.lean\",\"9d196425985d6aae3cb76423b6a017eb74a2e89d898d61b8e2786453bec958bf\",0,\"FunctionSurjective\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 626493,
+      "path": "data/train/pe8/oproofs-s00002-r00009540-n000004-0000-d3c0e1e6f3b656bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "d3c0e1e6f3b656bd15db0f9b8eeb2e319a860ba28576c6b60758525ae454e443"
+    },
+    {
+      "bytes": 51842,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00009540-n000004-0000-1253ae5fd78f5b48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "1253ae5fd78f5b4890c185de58e40ff985b22a8f5aea2cd5b1eb312c625efa7c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009544-n000004.json b/manifests/batches/oproofs/s00002-r00009544-n000004.json
index b9b73fccacde3b95f6b26868845f474a46579071..1fb180a8c52f001e80e5e5592be2da14f92de310 100644
--- a/manifests/batches/oproofs/s00002-r00009544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009544-n000004",
   "batch_fingerprint": "080b94814b5ab7aec79e4f23a4e3b440686f15d10e208e952c45a2e5fd21b031",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009544-n000004-0000-852d99ba40734270.parquet",
-      "sha256": "852d99ba407342705d8858ff9ba8a1afa81bf410625164bec72e3306171dd1d2",
-      "bytes": 899022,
-      "rows": 20,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009544-n000004-0001-eeec87c4efd16fb0.parquet",
-      "sha256": "eeec87c4efd16fb05937a9b61fd45cae36640d46ac54cd6895ca833dfc88d29e",
-      "bytes": 325464,
-      "rows": 7,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009545.lean\",\"36e16cb1651b7c462637f352827118c4d6339fbcd445357e3367a3e2a0f5f093\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009546.lean\",\"44e2cfd5353bc1e9286a38cd2bb5bf27697603d73b39e1ef263734a51b0a16cf\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009547.lean\",\"abe97eb577a8a1fd7d0a7ed8cc1fec30c58736010c4eb40125f7991dc083f03c\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 899022,
+      "path": "data/train/pcc/oproofs-s00002-r00009544-n000004-0000-852d99ba40734270.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "852d99ba407342705d8858ff9ba8a1afa81bf410625164bec72e3306171dd1d2"
+    },
+    {
+      "bytes": 325464,
+      "path": "data/train/pcc/oproofs-s00002-r00009544-n000004-0001-eeec87c4efd16fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "eeec87c4efd16fb05937a9b61fd45cae36640d46ac54cd6895ca833dfc88d29e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009548-n000004.json b/manifests/batches/oproofs/s00002-r00009548-n000004.json
index 4c4997f6e4228c96e0ca554a7f9c8412b385cfe3..de1c6f20b701b44a9cc59a81d352af64475bd090 100644
--- a/manifests/batches/oproofs/s00002-r00009548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009548-n000004",
   "batch_fingerprint": "7185091f48569132cf9b03da728d9cdd087336418b0c020c95e20c94805af41c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009548-n000004-0000-b33e3877ab254429.parquet",
-      "sha256": "b33e3877ab25442915ac286f0020e99f9c43dc61e9c7cf623a3e715751223b9c",
-      "bytes": 788486,
-      "rows": 11,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009548-n000004-0000-fc1b042bfd14b7af.parquet",
-      "sha256": "fc1b042bfd14b7af82940d609668d11924b3dbf4c018f3c293e3343434aa0be0",
-      "bytes": 54091,
-      "rows": 6,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9549",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009549.lean\",\"f8f7aaa1142d0050e1eb0a448ccd7fa78de6575a2006de2236d4a3d77037e36e\",0,\"algebra_465018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009550.lean\",\"9ba8602a90de0282cc84c461cabbb0bfa7654fa782f91a7b5d3e8d7a37469ab2\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009551.lean\",\"820027d65210c92303df1ccc1d6339a9a2ca06364774a47127c69ea5a0d1375f\",0,\"algebraicEquation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 788486,
+      "path": "data/train/p32/oproofs-s00002-r00009548-n000004-0000-b33e3877ab254429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "b33e3877ab25442915ac286f0020e99f9c43dc61e9c7cf623a3e715751223b9c"
+    },
+    {
+      "bytes": 54091,
+      "path": "data/internal_test/p32/oproofs-s00002-r00009548-n000004-0000-fc1b042bfd14b7af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fc1b042bfd14b7af82940d609668d11924b3dbf4c018f3c293e3343434aa0be0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009552-n000004.json b/manifests/batches/oproofs/s00002-r00009552-n000004.json
index 54d92cbcf34411d03e312db23cd7e3557ebc4458..cbb31b5e3a2b874f707292a5fd0d50b0b3826483 100644
--- a/manifests/batches/oproofs/s00002-r00009552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009552-n000004",
   "batch_fingerprint": "cbce53fc363bdcd52c80c1385cbbf602920cdd5b4884cfa51477ae1e39bf8d44",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009552-n000004-0000-85581823ae350bc7.parquet",
-      "sha256": "85581823ae350bc75874fdf57604929b9c4bbb17c9de65eb4529cb789dda8098",
-      "bytes": 1207820,
-      "rows": 27,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009552-n000004-0001-f7699097f5681a44.parquet",
-      "sha256": "f7699097f5681a44bdf1e41fe7fb849568ba0cc525a81240c04eba901191a8df",
-      "bytes": 626891,
-      "rows": 4,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009553.lean\",\"700b716a57a05ad84286a4d666f7f0f9ea1f835fe75b733184a9b30056b1a1c9\",0,\"sum_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009554.lean\",\"5da06370f1b8be6b8d5edee95838bb29c90fdae6a6f04ba8ec5246d797073776\",0,\"Real_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009555.lean\",\"f147cb7e157c58c16737ee62e9c8143fe205e657afc2a75a0c986ffaa718487b\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1207820,
+      "path": "data/train/pf3/oproofs-s00002-r00009552-n000004-0000-85581823ae350bc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "85581823ae350bc75874fdf57604929b9c4bbb17c9de65eb4529cb789dda8098"
+    },
+    {
+      "bytes": 626891,
+      "path": "data/train/pf3/oproofs-s00002-r00009552-n000004-0001-f7699097f5681a44.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f7699097f5681a44bdf1e41fe7fb849568ba0cc525a81240c04eba901191a8df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009556-n000004.json b/manifests/batches/oproofs/s00002-r00009556-n000004.json
index 694e0d48bf4c16ae041c50322eb0776404d8e3f9..9c9b58c7405bd1015b71b3d726dbc8eb0c63691a 100644
--- a/manifests/batches/oproofs/s00002-r00009556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009556-n000004",
   "batch_fingerprint": "65c043cb62aa1534a7311f8b60f5203143dc715e2373aa8eb7208d8108130206",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009556-n000004-0000-d1d13d48601412c3.parquet",
-      "sha256": "d1d13d48601412c3939f5dbcbb0938a5f5a7aab0ddbf640f01b1d2525476b948",
-      "bytes": 314787,
-      "rows": 9,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009556-n000004-0000-c819399c5c900271.parquet",
-      "sha256": "c819399c5c900271d8b76968f359b4c9dd7f52b47f60b20bac178af8aa4de839",
-      "bytes": 186092,
-      "rows": 5,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009557.lean\",\"5122c196fc4d0bf2ffed8c689355b5222ba07a1c313cfed809de131af5c4bb11\",0,\"max_k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009558.lean\",\"3ee706ce95a9d15425843e11548942fe987b2caa14206045b2d205403a6d2741\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009559.lean\",\"8840d1a98d65de5a034686373b8c70f9d744dc9757911c737c918e87cce4b715\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314787,
+      "path": "data/train/p92/oproofs-s00002-r00009556-n000004-0000-d1d13d48601412c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "d1d13d48601412c3939f5dbcbb0938a5f5a7aab0ddbf640f01b1d2525476b948"
+    },
+    {
+      "bytes": 186092,
+      "path": "data/dev/p92/oproofs-s00002-r00009556-n000004-0000-c819399c5c900271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c819399c5c900271d8b76968f359b4c9dd7f52b47f60b20bac178af8aa4de839"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009560-n000004.json b/manifests/batches/oproofs/s00002-r00009560-n000004.json
index fe488060177c0897957170874d6d55dc5270b676..c641c0846d152b0cc75585944ef985847a84f703 100644
--- a/manifests/batches/oproofs/s00002-r00009560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009560-n000004",
   "batch_fingerprint": "a4905dba19fab98a2f9d1dd5f3f83897469dd3bdf3d8685a2371144d125684e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009560-n000004-0000-21e56ca3b11e8909.parquet",
-      "sha256": "21e56ca3b11e8909e40b50b7c27786c439cde613a369eeeda7715dcf5cd914c9",
-      "bytes": 1153541,
-      "rows": 18,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9561",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009561.lean\",\"08ec80afb72f375827b2592b44f86f031536804d2a8cbd552dce369a9336b1c2\",0,\"PrimeRelPrime\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009562.lean\",\"a816ef1edcfa3726f4e281902688e682d16853dd5aabc5dde4cf980e90d23da8\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009563.lean\",\"ca9cb2ffb88c0a8e7a84cf693a6e2c16be081ecc207aa1268fa610e2f685bde0\",0,\"algebra_580391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1153541,
+      "path": "data/train/p6b/oproofs-s00002-r00009560-n000004-0000-21e56ca3b11e8909.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "21e56ca3b11e8909e40b50b7c27786c439cde613a369eeeda7715dcf5cd914c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009564-n000004.json b/manifests/batches/oproofs/s00002-r00009564-n000004.json
index 79b3651b440a4ecb56accf4f75d7b33a5e471625..1baeaec8b9ce33ba8009dacfb04c16c39b257330 100644
--- a/manifests/batches/oproofs/s00002-r00009564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009564-n000004",
   "batch_fingerprint": "32c347973d2b96ad23666ec8bdd0f6bdf9192fd4f5adbf09d10d3c7459cbbc9b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009564-n000004-0000-38b1a22b86d96575.parquet",
-      "sha256": "38b1a22b86d96575db5684c765966ebed17319ba2235a1f156616550bae4f439",
-      "bytes": 637232,
-      "rows": 22,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9565",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009565.lean\",\"13c0b32a12f3cb174e781198e018b6e723a4e221ff63d5384c641f30616acf08\",0,\"algebra_486519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009566.lean\",\"d2e11a230d97a9925524d4c864bbba2a09185779fcb4e4809e1b99230e123474\",1,\"algebra_487629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009567.lean\",\"46fcbfd89030bf422ebf06e892b836cd17e85ac46840e74374435a9edd153860\",0,\"algebra_379564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 637232,
+      "path": "data/train/p8a/oproofs-s00002-r00009564-n000004-0000-38b1a22b86d96575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "38b1a22b86d96575db5684c765966ebed17319ba2235a1f156616550bae4f439"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009568-n000004.json b/manifests/batches/oproofs/s00002-r00009568-n000004.json
index 22039250cc9d4b50fe7327e161e7d56e337b89db..cd1a00436a11b27fb51b0313717a24b9a9a279ca 100644
--- a/manifests/batches/oproofs/s00002-r00009568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009568-n000004",
   "batch_fingerprint": "4eef9f2c490b9d24de5216fff613967001430dc8ca26ad44f8855cf63291c11d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009568-n000004-0000-3cded196fa7b0920.parquet",
-      "sha256": "3cded196fa7b09201835902d7ad1f2b1d1011c4d767554af3e5bf7e56687184b",
-      "bytes": 783934,
-      "rows": 10,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009568-n000004-0000-4d6bb3df8ed82e85.parquet",
-      "sha256": "4d6bb3df8ed82e8522d5a053eaa2bb170ef08d1ec11666213798b990d32de259",
-      "bytes": 48289,
-      "rows": 2,
-      "revision": "dd55a3112df56d6bf4aa718c030bf47754fce334"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9569",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009569.lean\",\"da934acd88ca0c2058151af8cdaccbecc5b6bf79dcae9f9793e28e2df0d22f42\",0,\"PrimeIsSquare\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009570.lean\",\"0ecf48ed782a098bf3e62a544b5b82480ae259d16892d61b582eefc89356cf2c\",0,\"algebraic_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009571.lean\",\"db1c17daa89fbc3fcfff92c4e6c57328321eb58d35c3cc1f55eb3e7671ec39e1\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 783934,
+      "path": "data/train/p87/oproofs-s00002-r00009568-n000004-0000-3cded196fa7b0920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "3cded196fa7b09201835902d7ad1f2b1d1011c4d767554af3e5bf7e56687184b"
+    },
+    {
+      "bytes": 48289,
+      "path": "data/dev/p87/oproofs-s00002-r00009568-n000004-0000-4d6bb3df8ed82e85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4d6bb3df8ed82e8522d5a053eaa2bb170ef08d1ec11666213798b990d32de259"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009572-n000004.json b/manifests/batches/oproofs/s00002-r00009572-n000004.json
index 60c60f0737af78d7041d928e7d384620a1255e7c..804b6f7985c620bc9f2c07a77dcc3770c1d70b92 100644
--- a/manifests/batches/oproofs/s00002-r00009572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009572-n000004",
   "batch_fingerprint": "c4ed999e4c3ea61e5363e29383911aecf7762ccfb63a63d3b21e70514aff242a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009572-n000004-0000-7b029502022eecd3.parquet",
-      "sha256": "7b029502022eecd39110800c5596ab8d5d43330b49956f3bc00a75ce856101cf",
-      "bytes": 576867,
-      "rows": 24,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009573.lean\",\"6e1abf06cbc6ac4d0ee7f59aa82c4f17eda05b5f7d32583711b64308ba4a023f\",0,\"ComplexNormAdd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009574.lean\",\"f4eddfaae37d7405eaa07558b2407f7ac61b570e61adda06de196fd776dcd530\",0,\"k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009575.lean\",\"152facbf9e04c5bd403f330eae5a70bfa8103ffa492b409d888e293dcb0779e7\",0,\"RealPower\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576867,
+      "path": "data/train/p25/oproofs-s00002-r00009572-n000004-0000-7b029502022eecd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7b029502022eecd39110800c5596ab8d5d43330b49956f3bc00a75ce856101cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009576-n000004.json b/manifests/batches/oproofs/s00002-r00009576-n000004.json
index 57179b86edaabc6e5118982ff7d542822a93c46f..533ac556cce1fd4426ef6f24bd1fa85ee0b69ae0 100644
--- a/manifests/batches/oproofs/s00002-r00009576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009576-n000004",
   "batch_fingerprint": "4a7bbf4439e6be7b436092aa8f9e58ac759f9dce09d9a8b2f16531548b46f6f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009576-n000004-0000-9331abb7662849e7.parquet",
-      "sha256": "9331abb7662849e72fdaca9a4b75a23016f27e0aad5801386d6d5a1091bb5c7c",
-      "bytes": 582860,
-      "rows": 18,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009576-n000004-0000-b083a45b9fee938b.parquet",
-      "sha256": "b083a45b9fee938b635e7d6efb2061840f26967e579aaa32facc0708877bb570",
-      "bytes": 528564,
-      "rows": 6,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9577",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009577.lean\",\"b5fe273e3d9c3dd1cf3c64c46d323cd4a728f9cb0dc09d19e730a38b673b5de3\",0,\"PrimeP\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009578.lean\",\"25860ac795e97e794e3e1bf78b3ea656850f27d955a96d231aac3411bbdbe052\",0,\"sqrt_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009579.lean\",\"9cb97a2515bf0dffa1097a92b2fc7e1f4563af34443303506cd4da2c1fa6ee1a\",0,\"algebra_468017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 582860,
+      "path": "data/train/pbd/oproofs-s00002-r00009576-n000004-0000-9331abb7662849e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9331abb7662849e72fdaca9a4b75a23016f27e0aad5801386d6d5a1091bb5c7c"
+    },
+    {
+      "bytes": 528564,
+      "path": "data/internal_test/pbd/oproofs-s00002-r00009576-n000004-0000-b083a45b9fee938b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "b083a45b9fee938b635e7d6efb2061840f26967e579aaa32facc0708877bb570"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009580-n000004.json b/manifests/batches/oproofs/s00002-r00009580-n000004.json
index 5c14b5a6fbddd8907485cf8596dd1f921f50b2d5..cadf3864fa6e499ca86691dfa11731234df8fbbd 100644
--- a/manifests/batches/oproofs/s00002-r00009580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009580-n000004",
   "batch_fingerprint": "25ae9a3bdf6872e4b746b54d9f6eb62b2a73c6d85d6b6e1ed5544b4c3f1c67ac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009580-n000004-0000-3b09579c8d56a098.parquet",
-      "sha256": "3b09579c8d56a0989c456309b6e9b5973028f6b3e94bed049b008fd8e2452ab5",
-      "bytes": 763535,
-      "rows": 19,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009580-n000004-0000-e58ce6c3156532c6.parquet",
-      "sha256": "e58ce6c3156532c6c6f6e1dda4f49885e4af2df2d633262b5b0f68ddab99d862",
-      "bytes": 426130,
-      "rows": 6,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009581.lean\",\"36a2c851d6fe9ff95347f79caba328ab67f7abde54005b7307a4a2cd6d9e9cc1\",0,\"algebra_438560\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009582.lean\",\"203a8d09bdcbd807f18ac8f67a165c6b61bff3099a5032b248a84a1e04d5e1e9\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009583.lean\",\"ac03a65fa4fb6f2d9475fff782ec971224f14c9f47f06ddd4ad092943376073d\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 763535,
+      "path": "data/train/p68/oproofs-s00002-r00009580-n000004-0000-3b09579c8d56a098.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "3b09579c8d56a0989c456309b6e9b5973028f6b3e94bed049b008fd8e2452ab5"
+    },
+    {
+      "bytes": 426130,
+      "path": "data/internal_test/p68/oproofs-s00002-r00009580-n000004-0000-e58ce6c3156532c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e58ce6c3156532c6c6f6e1dda4f49885e4af2df2d633262b5b0f68ddab99d862"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009584-n000004.json b/manifests/batches/oproofs/s00002-r00009584-n000004.json
index e8c53f7bc4e23949365f16eb0df0cd7d2962756a..35babe491202f2a2eddccbb0c10938f6465bedb8 100644
--- a/manifests/batches/oproofs/s00002-r00009584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009584-n000004",
   "batch_fingerprint": "5460a01099a604107f8e54219e90176a08d9699085471572a30dd3797a5ef618",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009584-n000004-0000-e655b6f2d45f9564.parquet",
-      "sha256": "e655b6f2d45f956440de9fe43ade9bbc2c6466912cdb2e46d6dd4bed38f85869",
-      "bytes": 520238,
-      "rows": 15,
-      "revision": "1768e4bc1d129287fb8ad9cbc70b21f9e464994a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009585.lean\",\"e7f1e7ec92ba9f347a56670d819c37b08c5353fb36b7f618d9ad53d708bce2d1\",0,\"RealRoots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009586.lean\",\"e3f0c1f8ce41138e3b18c9e0433481860b0d16ddba0ea3824bf3e3c4a269d5e6\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009587.lean\",\"35f90b394295d65b5551a4b466b45cd9e750da7dda988256e06e58f089b33b5b\",0,\"solution_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 520238,
+      "path": "data/train/pce/oproofs-s00002-r00009584-n000004-0000-e655b6f2d45f9564.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e655b6f2d45f956440de9fe43ade9bbc2c6466912cdb2e46d6dd4bed38f85869"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009588-n000004.json b/manifests/batches/oproofs/s00002-r00009588-n000004.json
index 2567e6bc42aa2058faad306ab252f4a4959ce0ae..658dc9300870102f49f7989a52dac951ba47495f 100644
--- a/manifests/batches/oproofs/s00002-r00009588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009588-n000004",
   "batch_fingerprint": "607b54215f4a85c0c19925610b51cfab4c0a04b0af8924e99b30710c5f73eabd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009588-n000004-0000-6e4ba4bf5368765c.parquet",
-      "sha256": "6e4ba4bf5368765c3c47f36b02ea4eaffe8a8444f95352b93d988bad9051ed0e",
-      "bytes": 457482,
-      "rows": 14,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009588-n000004-0000-c97b15758e378fd1.parquet",
-      "sha256": "c97b15758e378fd1c79b9001601396e6def0ad6009409074ecd1b601347fd0f5",
-      "bytes": 305895,
-      "rows": 8,
-      "revision": "2a7652190b3a62bd7a4f091af476790f498e335d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009589.lean\",\"5bf30f18e9596930c1fb85ca251ea49f1ef26eeecba6c20e78abd5b4f1b94bb6\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009590.lean\",\"4ebc6f40eb437bb085af7a60637b1af8fb338f92702e527966bc15831d77c46a\",0,\"lean_workbook_plus_65596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009591.lean\",\"d9055e809adf2145178205c0f38f1c18b11ce2785e49354f96d7eddf96472bb6\",0,\"lean_workbook_41259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 457482,
+      "path": "data/train/p93/oproofs-s00002-r00009588-n000004-0000-6e4ba4bf5368765c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6e4ba4bf5368765c3c47f36b02ea4eaffe8a8444f95352b93d988bad9051ed0e"
+    },
+    {
+      "bytes": 305895,
+      "path": "data/internal_test/p93/oproofs-s00002-r00009588-n000004-0000-c97b15758e378fd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c97b15758e378fd1c79b9001601396e6def0ad6009409074ecd1b601347fd0f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009592-n000004.json b/manifests/batches/oproofs/s00002-r00009592-n000004.json
index 9b2937407d5fddb9ca8204b8f6e5bf4a8825c749..4a8fee797032485a4c4d0204beec9bddd5e210e2 100644
--- a/manifests/batches/oproofs/s00002-r00009592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009592-n000004",
   "batch_fingerprint": "ef4217eb300facdf708b5b2909875bf6d1460146e2f9ebe8f25fdbd43210d72b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009592-n000004-0000-41c9a25b3cdb99df.parquet",
-      "sha256": "41c9a25b3cdb99dfe85a5ae3847d8370fce3a2a086d6d171297b389fec79ac48",
-      "bytes": 440885,
-      "rows": 18,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009592-n000004-0000-bd70179cc5e02ae1.parquet",
-      "sha256": "bd70179cc5e02ae1b4d8a872aa2ee091ada5488ff2696783cd8068b09424dc22",
-      "bytes": 446032,
-      "rows": 9,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9593",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009593.lean\",\"80c1df0f9be5fc2a44616f138f3b04d0adc878e985248e851ea4b64f2903883c\",0,\"proveCubic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009594.lean\",\"2380640cc91ac812eb1151eefc2b1ab6c9a9fcfe9e69c6bc709c8700d8d582fd\",0,\"for_all_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009595.lean\",\"74381758a6aebda2cd010f86905af5a4bdb9938ae26b62d5156f8d90006ce801\",0,\"algebra_481966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 440885,
+      "path": "data/train/pf7/oproofs-s00002-r00009592-n000004-0000-41c9a25b3cdb99df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "41c9a25b3cdb99dfe85a5ae3847d8370fce3a2a086d6d171297b389fec79ac48"
+    },
+    {
+      "bytes": 446032,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00009592-n000004-0000-bd70179cc5e02ae1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bd70179cc5e02ae1b4d8a872aa2ee091ada5488ff2696783cd8068b09424dc22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009596-n000004.json b/manifests/batches/oproofs/s00002-r00009596-n000004.json
index 4e3174f8cacfdbe9a7213b4fea497bdfc6deb122..5ad336ae03112f06938222d9b66b4c314286d753 100644
--- a/manifests/batches/oproofs/s00002-r00009596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009596-n000004",
   "batch_fingerprint": "01114f69badf21e1c6d49e22daa8103d912acc846f54ad6470f9baa11088bc06",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009596-n000004-0000-89e39fdd5820806f.parquet",
-      "sha256": "89e39fdd5820806fd7fdff405fdf13ab6b3da957c37ac5973203a413d4690996",
-      "bytes": 598967,
-      "rows": 14,
-      "revision": "708ceb6e48cabca25e4f047a38948f5fd38c6156"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009597.lean\",\"f4e13272ebba5213d7a74929446eff0daefcea5d37d6b1f9ee325bdb28f9e5b0\",0,\"algebraic_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009598.lean\",\"4775561a8bed6852707dbdd81d68c84bd6cdc23973745875d5b5ac732a1e84a7\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009599.lean\",\"8a4fee81e67ddeb57a0970171747fd17f0d57adbf718552b09875ec123bce028\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598967,
+      "path": "data/train/pa9/oproofs-s00002-r00009596-n000004-0000-89e39fdd5820806f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "89e39fdd5820806fd7fdff405fdf13ab6b3da957c37ac5973203a413d4690996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009600-n000004.json b/manifests/batches/oproofs/s00002-r00009600-n000004.json
index 3adb89ca0dffa06abe31ea2aea7750f47bd51991..0cff66c5ea5f97d7697eef08fb1a51f1124861dc 100644
--- a/manifests/batches/oproofs/s00002-r00009600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009600-n000004",
   "batch_fingerprint": "d68c8450428ffa9d68c2125c35f84d73d23f6e623471c3f5bef257a612dbcb70",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009600-n000004-0000-86014384d1699fd3.parquet",
-      "sha256": "86014384d1699fd301a0a3c66a2d408ee39aab4466ef6d24200987a10a1a615f",
-      "bytes": 1430826,
-      "rows": 20,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009600-n000004-0001-551059341684984d.parquet",
-      "sha256": "551059341684984d1c1abe6ee600d79501906c057db82d572c16136cfc057aec",
-      "bytes": 423576,
-      "rows": 5,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009601.lean\",\"7a3137a409fd759b47379139c2b2c2bd396de5a9ae71caf06ad7b2c1d8fb6e14\",1,\"lim2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009602.lean\",\"601bcc3183b15f7505e36cbfaf332f63a62580f45fb969e2c284d8cb2fc32315\",0,\"inequalities_9879\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009603.lean\",\"19e71bca33b729135c71c136c3e6dc99ae11f5b0ed65ab2428ade786c3066600\",0,\"algebra_456703\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1430826,
+      "path": "data/train/p69/oproofs-s00002-r00009600-n000004-0000-86014384d1699fd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "86014384d1699fd301a0a3c66a2d408ee39aab4466ef6d24200987a10a1a615f"
+    },
+    {
+      "bytes": 423576,
+      "path": "data/train/p69/oproofs-s00002-r00009600-n000004-0001-551059341684984d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "551059341684984d1c1abe6ee600d79501906c057db82d572c16136cfc057aec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009604-n000004.json b/manifests/batches/oproofs/s00002-r00009604-n000004.json
index d4322d68a20e49b5ddea7ee4de13298f77ef60d5..5c1474ef1c6e46b4465c60efb2bf6cafb7159c80 100644
--- a/manifests/batches/oproofs/s00002-r00009604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009604-n000004",
   "batch_fingerprint": "4ea78c32f813479a4f3564c84706c71fdcd5a7d0c769a3017d33c2b6196b969e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009604-n000004-0000-e66608f361f079b8.parquet",
-      "sha256": "e66608f361f079b86a7bb94d7e9c0974f981a9d7aa896badfaf7d63d7da5e844",
-      "bytes": 133388,
-      "rows": 8,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009604-n000004-0000-9bb56343447a0776.parquet",
-      "sha256": "9bb56343447a07764b107bf892ae3d1df47ccb575cbdfee38176f23734cbfafc",
-      "bytes": 72938,
-      "rows": 6,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009605.lean\",\"aabb01ca6fd8815f906ef54a429ae4c0ffcce612c013e67e0f4a349c15ae1800\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009606.lean\",\"4c77f64d01ee32f205969f3da93611549a8f39cde79bcca9a47d984e2b98a849\",0,\"k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009607.lean\",\"6cd6c497ea8d39c287780204b8e7df513ca4f1785f56425affac9af365d034ae\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133388,
+      "path": "data/train/p5d/oproofs-s00002-r00009604-n000004-0000-e66608f361f079b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e66608f361f079b86a7bb94d7e9c0974f981a9d7aa896badfaf7d63d7da5e844"
+    },
+    {
+      "bytes": 72938,
+      "path": "data/internal_test/p5d/oproofs-s00002-r00009604-n000004-0000-9bb56343447a0776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9bb56343447a07764b107bf892ae3d1df47ccb575cbdfee38176f23734cbfafc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009608-n000004.json b/manifests/batches/oproofs/s00002-r00009608-n000004.json
index 3dc1534c9400f02fa2f9f23677511fe2ec5945e9..32787ed46945fde904354d4219010a005a63466f 100644
--- a/manifests/batches/oproofs/s00002-r00009608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009608-n000004",
   "batch_fingerprint": "3d1e3a667058f090c59c6d1235c81c54720197871482c244da951167a87ddb2e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009608-n000004-0000-6b69251ff02504e6.parquet",
-      "sha256": "6b69251ff02504e646da13071d6cfa99394fe04083f52ed54199fc9499dfdfd6",
-      "bytes": 800976,
-      "rows": 21,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009608-n000004-0000-1edb2fa3fdbdac28.parquet",
-      "sha256": "1edb2fa3fdbdac28dd16ef31d1b7d67e9c41783833d90fef3c020ca3f28bff90",
-      "bytes": 84923,
-      "rows": 3,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009609.lean\",\"4716f209cbfb9615dd92fba8dedd8b40dd1fab8f84c8f424756a569b516428b2\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009610.lean\",\"85656d512a0b662029ef86e5de9fdd5efdddf1518dcec73d89e39103e76c1c67\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009611.lean\",\"a2feb2e60a31b1633ebff1e20599d898c24fb089c68ae19bd88643f8b6dd1e92\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 800976,
+      "path": "data/train/p12/oproofs-s00002-r00009608-n000004-0000-6b69251ff02504e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6b69251ff02504e646da13071d6cfa99394fe04083f52ed54199fc9499dfdfd6"
+    },
+    {
+      "bytes": 84923,
+      "path": "data/dev/p12/oproofs-s00002-r00009608-n000004-0000-1edb2fa3fdbdac28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1edb2fa3fdbdac28dd16ef31d1b7d67e9c41783833d90fef3c020ca3f28bff90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009612-n000004.json b/manifests/batches/oproofs/s00002-r00009612-n000004.json
index e28186177ad0c15ae6e659409d4943f7f57d1194..8e93a9a55f8dee900fd1d29bdb927b4de8c0e5e7 100644
--- a/manifests/batches/oproofs/s00002-r00009612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009612-n000004",
   "batch_fingerprint": "71a9ee57bde699cd51a53043896e45f244210a7591980b7ce3d9f38cb36a3c97",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9612",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9613",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9614",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9615"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009612.lean\",\"97b08d34fe3af366b41aa450a9a93e2c68a39758ad4617e977f6f0ddfd54d7f0\",0,\"algebra_468361\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009613.lean\",\"3cb74fcfd2e0b0d6c0e5999748aed438efde9c29c8b5732ef36ff2b437145e36\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009614.lean\",\"e49b40c1edb94e869b951f348a7bdbfd27a4219fa9137be90c687c228c7b1d6f\",0,\"algebra_456802\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009615.lean\",\"2bc4535613d0ca397377c9e9951c0d2cfe717387df7a98aff563b188a4eea990\",0,\"algebra_589024\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009612-n000004-0000-a684c2bbd11aa233.parquet",
-      "sha256": "a684c2bbd11aa233e8fbcfbe82fb6c1c5112ca8c81ca46016b6956f2e11b2c97",
       "bytes": 971984,
+      "path": "data/train/p86/oproofs-s00002-r00009612-n000004-0000-a684c2bbd11aa233.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "a684c2bbd11aa233e8fbcfbe82fb6c1c5112ca8c81ca46016b6956f2e11b2c97"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009612-n000004-0001-564a3db526805dfd.parquet",
-      "sha256": "564a3db526805dfd4e4c493ffbe012c3ed3168ddec39e04231eaeab009ca5d6c",
       "bytes": 1193001,
+      "path": "data/train/p86/oproofs-s00002-r00009612-n000004-0001-564a3db526805dfd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "564a3db526805dfd4e4c493ffbe012c3ed3168ddec39e04231eaeab009ca5d6c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009612-n000004-0002-9d5a6bdec53e2133.parquet",
-      "sha256": "9d5a6bdec53e213385aa5b746ac56deb8e3c32723a85a0091f988b6d346a43fa",
       "bytes": 589943,
+      "path": "data/train/p86/oproofs-s00002-r00009612-n000004-0002-9d5a6bdec53e2133.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "9d5a6bdec53e213385aa5b746ac56deb8e3c32723a85a0091f988b6d346a43fa"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9612",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9613",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9614",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9615"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009612.lean\",\"97b08d34fe3af366b41aa450a9a93e2c68a39758ad4617e977f6f0ddfd54d7f0\",0,\"algebra_468361\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009613.lean\",\"3cb74fcfd2e0b0d6c0e5999748aed438efde9c29c8b5732ef36ff2b437145e36\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009614.lean\",\"e49b40c1edb94e869b951f348a7bdbfd27a4219fa9137be90c687c228c7b1d6f\",0,\"algebra_456802\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009615.lean\",\"2bc4535613d0ca397377c9e9951c0d2cfe717387df7a98aff563b188a4eea990\",0,\"algebra_589024\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009616-n000004.json b/manifests/batches/oproofs/s00002-r00009616-n000004.json
index 629e7db4cd375a07a77d2d34d16a16d3301c9977..c52be9b3368246410871ea1167e938a5909ec3d6 100644
--- a/manifests/batches/oproofs/s00002-r00009616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009616-n000004",
   "batch_fingerprint": "021bd832450a657e359b53b979df9ecc388aa2af9b87d33a303794f8a8ca4825",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009616-n000004-0000-497612a04ba2e548.parquet",
-      "sha256": "497612a04ba2e548d6ffbd89266492c23ba4c82ee3ab3d0a2a0669245ca6be8c",
-      "bytes": 318278,
-      "rows": 13,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009616-n000004-0000-1afbca5c330acc98.parquet",
-      "sha256": "1afbca5c330acc981d3a4f8f5cb39b773051eb75b8f7d717b444b27fc34fde57",
-      "bytes": 45963,
-      "rows": 4,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009617.lean\",\"8c51102ec4380683d8d26b2ea6534f81e82ffe114a46bdf5e27c1bad3ccf996f\",0,\"number_theory_8888\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009618.lean\",\"783e982f530e4b84416351a78815f648d1536e678a7f14e76089f437569268d5\",0,\"sum_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009619.lean\",\"f4dec3d4cf02f4908c6ac79c3be49437b73352410385c1067717c6539f31e2b8\",0,\"Real_461809\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318278,
+      "path": "data/train/p26/oproofs-s00002-r00009616-n000004-0000-497612a04ba2e548.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "497612a04ba2e548d6ffbd89266492c23ba4c82ee3ab3d0a2a0669245ca6be8c"
+    },
+    {
+      "bytes": 45963,
+      "path": "data/internal_test/p26/oproofs-s00002-r00009616-n000004-0000-1afbca5c330acc98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1afbca5c330acc981d3a4f8f5cb39b773051eb75b8f7d717b444b27fc34fde57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009620-n000004.json b/manifests/batches/oproofs/s00002-r00009620-n000004.json
index 6e250b7d35f9d5b8a04368d4ea830e26c51a3d68..4724a831e14e779dbbeaa87b8718fa1d013cf063 100644
--- a/manifests/batches/oproofs/s00002-r00009620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009620-n000004",
   "batch_fingerprint": "a7a226df84c50511978859aac4005b0f95ef0f76bf45b8c6af0701e7969555fc",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9620",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9621",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9622",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9623"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009620.lean\",\"545f1d1ab96a9030084535e2e4545b74d9a76b094cf7bb8975e5bb61fd3e819c\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009621.lean\",\"12b28f03d30724c0882a1b8c163023acb5df4f59a4debefea8a8c8244d8d6a11\",0,\"algebra_487509\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009622.lean\",\"d143b81cccb79a64af21ca70fd904c4ce67b86d23ad2803ec5df5c7cbe2856a8\",0,\"sqrt_311\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009623.lean\",\"0d801a6a7b5d282f3371ec861efe8f8cfdbdd608d4488df20b5aea1b0eb579d0\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009620-n000004-0000-2da058a74757549b.parquet",
-      "sha256": "2da058a74757549b9d06de35c3bbe5d6626a16b4a69d05122490653ca1ed3e48",
       "bytes": 384805,
+      "path": "data/train/pcc/oproofs-s00002-r00009620-n000004-0000-2da058a74757549b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "2da058a74757549b9d06de35c3bbe5d6626a16b4a69d05122490653ca1ed3e48"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009620-n000004-0001-536f6941ab81d93a.parquet",
-      "sha256": "536f6941ab81d93a990eb819503a3d65cb6c345a06991d473a33517dd0877673",
       "bytes": 1300961,
+      "path": "data/train/pcc/oproofs-s00002-r00009620-n000004-0001-536f6941ab81d93a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "536f6941ab81d93a990eb819503a3d65cb6c345a06991d473a33517dd0877673"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009620-n000004-0002-a61cbf01b19fae1f.parquet",
-      "sha256": "a61cbf01b19fae1fb673a120730445f8a102631f3499bc2864c8f448366beab0",
       "bytes": 1124834,
+      "path": "data/train/pcc/oproofs-s00002-r00009620-n000004-0002-a61cbf01b19fae1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "a61cbf01b19fae1fb673a120730445f8a102631f3499bc2864c8f448366beab0"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009620-n000004-0000-4c9ea788b2115812.parquet",
-      "sha256": "4c9ea788b2115812879e65e2a7c2b83960c57b7b55b1ebe520f3a6ed9bce8cc8",
       "bytes": 161099,
+      "path": "data/internal_test/pcc/oproofs-s00002-r00009620-n000004-0000-4c9ea788b2115812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "4c9ea788b2115812879e65e2a7c2b83960c57b7b55b1ebe520f3a6ed9bce8cc8"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9620",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9621",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9622",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9623"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009620.lean\",\"545f1d1ab96a9030084535e2e4545b74d9a76b094cf7bb8975e5bb61fd3e819c\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009621.lean\",\"12b28f03d30724c0882a1b8c163023acb5df4f59a4debefea8a8c8244d8d6a11\",0,\"algebra_487509\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009622.lean\",\"d143b81cccb79a64af21ca70fd904c4ce67b86d23ad2803ec5df5c7cbe2856a8\",0,\"sqrt_311\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009623.lean\",\"0d801a6a7b5d282f3371ec861efe8f8cfdbdd608d4488df20b5aea1b0eb579d0\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009624-n000004.json b/manifests/batches/oproofs/s00002-r00009624-n000004.json
index 1868e72c91f200fdfb3949dafc05e7c8b9bbdb00..e18eee958d04c3b7290129c8d7295afb5fe328ad 100644
--- a/manifests/batches/oproofs/s00002-r00009624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009624-n000004",
   "batch_fingerprint": "fa52521bb67b1fef462561324e910832570eda759955d22dc3475bb23432639f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009624-n000004-0000-2d2394e4b7398058.parquet",
-      "sha256": "2d2394e4b7398058e7c6542810eab20ea5ea68d090bfef012cc5e39b97210558",
-      "bytes": 424378,
-      "rows": 16,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9625",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009625.lean\",\"9cdf4a91507cc1e03307e3da1d947b8972426a290c76e1746dba613707eee283\",1,\"part_b\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009626.lean\",\"58d64cd0962a3cae3de79edfcfadc5daf5d2cb8ffcade2378231502dc923e300\",0,\"algebra_435698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009627.lean\",\"dc96fb4928d229b7e494b9464b2046ec584feaf50ee0003dbccf624f1c9bf43a\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424378,
+      "path": "data/train/p44/oproofs-s00002-r00009624-n000004-0000-2d2394e4b7398058.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2d2394e4b7398058e7c6542810eab20ea5ea68d090bfef012cc5e39b97210558"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009628-n000004.json b/manifests/batches/oproofs/s00002-r00009628-n000004.json
index ea418bad80f4a9e2bf4f7a5c488047bf45b5dce8..b518b8df950f686763b700d0c590c34923e5c196 100644
--- a/manifests/batches/oproofs/s00002-r00009628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009628-n000004",
   "batch_fingerprint": "ab097493e5933b8254ca9370364c706f569887b106da5555b854737b5ec6dccd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009628-n000004-0000-d8077f48d44aaad4.parquet",
-      "sha256": "d8077f48d44aaad4b1028c0bd402cb5d4dae7275d5608c4bfa85b94b381c6c69",
-      "bytes": 695168,
-      "rows": 17,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009628-n000004-0000-8c4a5bd1f5148964.parquet",
-      "sha256": "8c4a5bd1f51489643839017f141e836f175efda149d40ef695f1f9010616ce90",
-      "bytes": 143193,
-      "rows": 5,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009629.lean\",\"fe63632e5fd53543b23ccf0a68726eba3b3c4727d1d6bd92b4b5538157e16249\",0,\"algebra_585019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009630.lean\",\"bf8a2905479e55b5a8ae2c10c37431f9738b841fb23890be2c9b0084699f8584\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009631.lean\",\"039be9ccd28fd303dfa88e89de984f044c1443e30ad043b329a821c43a68a38b\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 695168,
+      "path": "data/train/p74/oproofs-s00002-r00009628-n000004-0000-d8077f48d44aaad4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d8077f48d44aaad4b1028c0bd402cb5d4dae7275d5608c4bfa85b94b381c6c69"
+    },
+    {
+      "bytes": 143193,
+      "path": "data/internal_test/p74/oproofs-s00002-r00009628-n000004-0000-8c4a5bd1f5148964.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8c4a5bd1f51489643839017f141e836f175efda149d40ef695f1f9010616ce90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009632-n000004.json b/manifests/batches/oproofs/s00002-r00009632-n000004.json
index fccba8963cbeca27d45196ec22bba07cd92264c7..6db5a0dd1b2efc385b552d3441a592a86206ad94 100644
--- a/manifests/batches/oproofs/s00002-r00009632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009632-n000004",
   "batch_fingerprint": "a4e32bc16531b01d613e2176fdc4c53725f16cb234c9fdad491ff7403ebbe95d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009632-n000004-0000-fa6b5889816c9891.parquet",
-      "sha256": "fa6b5889816c989190792763246dee3bf8daed20eb58a0c93e182b0b861e3eab",
-      "bytes": 814641,
-      "rows": 11,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009632-n000004-0000-749a152a4e9aa5bc.parquet",
-      "sha256": "749a152a4e9aa5bcbe626c30ecfd3a3acbe320a3155f527f24479efafbc4bf99",
-      "bytes": 155799,
-      "rows": 4,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009633.lean\",\"235cb3795923d6e1a4370d2033fed2096057cd16f84d59aa510751e13fb9a081\",0,\"algebra_465018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009634.lean\",\"e8cc21cc4e390c0ed54a54a8749e984a3ae01c396715d7d1d6e9bb9f5c88dfc3\",0,\"algebraicComplex\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009635.lean\",\"82c0c277165aa61431c12bfca13503f9ae19434fea36b93bc3af4f95409990a1\",0,\"sum_infinite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 814641,
+      "path": "data/train/pee/oproofs-s00002-r00009632-n000004-0000-fa6b5889816c9891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fa6b5889816c989190792763246dee3bf8daed20eb58a0c93e182b0b861e3eab"
+    },
+    {
+      "bytes": 155799,
+      "path": "data/internal_test/pee/oproofs-s00002-r00009632-n000004-0000-749a152a4e9aa5bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "749a152a4e9aa5bcbe626c30ecfd3a3acbe320a3155f527f24479efafbc4bf99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009636-n000004.json b/manifests/batches/oproofs/s00002-r00009636-n000004.json
index b026c2eca07834d092e858dac4accd1938356791..386a635a6af8c7b8475672722b86eb507da30e0f 100644
--- a/manifests/batches/oproofs/s00002-r00009636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009636-n000004",
   "batch_fingerprint": "589736dfdcf428559fa6911caa91c12f5dc8097d10926b55c3d06f604d37813d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009636-n000004-0000-435d828410429cb8.parquet",
-      "sha256": "435d828410429cb8cc9bb01203a645e5d10b076fa4415bc04439a70e6196af2d",
-      "bytes": 937561,
-      "rows": 7,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009636-n000004-0000-7e586f92244d5b66.parquet",
-      "sha256": "7e586f92244d5b665b4ce3507994b7b76b9d8477aaa462beb451c178e6df79e0",
-      "bytes": 99477,
-      "rows": 7,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9637",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009637.lean\",\"b074c9e816ef6d87d1e3339acd2f2e0e4b397aefb927fbaee179d325c4c8d180\",0,\"max_k\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009638.lean\",\"d62ee7db931ba5e0a690f12a0a77461f920fececfe9037b0f68e8481586c8946\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009639.lean\",\"b497545c2bc6b469c33c887653a9d62b128cc359c55f7096b8a49f7f6b798556\",0,\"Tendsto\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 937561,
+      "path": "data/train/p1e/oproofs-s00002-r00009636-n000004-0000-435d828410429cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "435d828410429cb8cc9bb01203a645e5d10b076fa4415bc04439a70e6196af2d"
+    },
+    {
+      "bytes": 99477,
+      "path": "data/internal_test/p1e/oproofs-s00002-r00009636-n000004-0000-7e586f92244d5b66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7e586f92244d5b665b4ce3507994b7b76b9d8477aaa462beb451c178e6df79e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009640-n000004.json b/manifests/batches/oproofs/s00002-r00009640-n000004.json
index 1eba5602eb3581e037744e4114286ba246c4baec..69c98450ca76c9ea55b16ddde631ec8c70fc5afd 100644
--- a/manifests/batches/oproofs/s00002-r00009640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009640-n000004",
   "batch_fingerprint": "f5f047dddf31ff9946599e727ff14221a35ee523b769084223147f2790f5924a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009640-n000004-0000-b998c389f1ac048b.parquet",
-      "sha256": "b998c389f1ac048b72606723fdfbf3e263027c02c0cda0315ac4d78deefb4d61",
-      "bytes": 366585,
-      "rows": 12,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009641.lean\",\"3843e1144dc20465f3139441f38eb543443e7c14f336674ebc44b738a64c3397\",0,\"algebra_486001\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009642.lean\",\"df5b3accd7a14c023f88d334d05a8239c5e4d8eb550add99b419e708a4f389d2\",0,\"IntSquare\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009643.lean\",\"d8125965fa507db67a16d9a6d26701f1a14c5cbfb3083ab41e48f1ede905adc5\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 366585,
+      "path": "data/train/p82/oproofs-s00002-r00009640-n000004-0000-b998c389f1ac048b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b998c389f1ac048b72606723fdfbf3e263027c02c0cda0315ac4d78deefb4d61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009644-n000004.json b/manifests/batches/oproofs/s00002-r00009644-n000004.json
index ba6531113b4ca6b2837d3bdcce16f1877f95b45e..bd58443a8c4c3858942b8f223e2a92a01ecd38d6 100644
--- a/manifests/batches/oproofs/s00002-r00009644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009644-n000004",
   "batch_fingerprint": "c3d9ab830b78d12c371068c17528a32f0e4a7716e988caccea80f8086996a123",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9644",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9645",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9646",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9647"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009644.lean\",\"1faf106e6198392966d09622c3050cfe94f19cb99fed1ef8db08cb0bab21f07e\",0,\"sqrt_a_b\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009645.lean\",\"c1316bec027cce3776bf8b6cfe14252eadb06de8fa08405202507f23a06b930f\",0,\"Nat_eq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009646.lean\",\"12322d8e3dd41499e7c9c4aab74264362e1101dd310b0b205bb14e75d25ac6da\",0,\"algebra_497292\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009647.lean\",\"d27c399bb92b5fbe5ec522095625854164e610091c95158cd4c2daa44124b796\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009644-n000004-0000-d2aa70b8bd80d9d9.parquet",
-      "sha256": "d2aa70b8bd80d9d96b303be89c590ab5079f50394bc8102715d617ba399e1e8d",
       "bytes": 1258669,
+      "path": "data/train/p10/oproofs-s00002-r00009644-n000004-0000-d2aa70b8bd80d9d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
+      "sha256": "d2aa70b8bd80d9d96b303be89c590ab5079f50394bc8102715d617ba399e1e8d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009644-n000004-0001-a8fa052f7f684445.parquet",
-      "sha256": "a8fa052f7f6844458fec2c4f70d13092721a63951b6d4ad05e57627ef88dd5ac",
       "bytes": 286929,
+      "path": "data/train/p10/oproofs-s00002-r00009644-n000004-0001-a8fa052f7f684445.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
+      "sha256": "a8fa052f7f6844458fec2c4f70d13092721a63951b6d4ad05e57627ef88dd5ac"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009644-n000004-0000-026a4ad3e4d7f44e.parquet",
-      "sha256": "026a4ad3e4d7f44e3ca4a0107ae4fa4f45c9024f62010f27a5ff3741f6a11380",
       "bytes": 134117,
+      "path": "data/dev/p10/oproofs-s00002-r00009644-n000004-0000-026a4ad3e4d7f44e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
+      "sha256": "026a4ad3e4d7f44e3ca4a0107ae4fa4f45c9024f62010f27a5ff3741f6a11380"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9644",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9645",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9646",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9647"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009644.lean\",\"1faf106e6198392966d09622c3050cfe94f19cb99fed1ef8db08cb0bab21f07e\",0,\"sqrt_a_b\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009645.lean\",\"c1316bec027cce3776bf8b6cfe14252eadb06de8fa08405202507f23a06b930f\",0,\"Nat_eq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009646.lean\",\"12322d8e3dd41499e7c9c4aab74264362e1101dd310b0b205bb14e75d25ac6da\",0,\"algebra_497292\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009647.lean\",\"d27c399bb92b5fbe5ec522095625854164e610091c95158cd4c2daa44124b796\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009648-n000004.json b/manifests/batches/oproofs/s00002-r00009648-n000004.json
index 3041307183acc96d4b78a4fd4ef0f8bf7e1bd4ee..63dcb28b2ced800145abc32cb2f9056f34ae0306 100644
--- a/manifests/batches/oproofs/s00002-r00009648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009648-n000004",
   "batch_fingerprint": "3ff4fb7c7957440319367d0357f0480e651322071ac41092108d6e58ffd27326",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009648-n000004-0000-ad1931b81e8001c6.parquet",
-      "sha256": "ad1931b81e8001c6dadcec5120d3f5736e92bfcb207d6e7fc1c0a9b7eeb4f5f4",
-      "bytes": 1185814,
-      "rows": 22,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009648-n000004-0001-885276396fabce65.parquet",
-      "sha256": "885276396fabce6518284d5b65aa5b587584d5e35ce6bcf1c7024e8696f8b083",
-      "bytes": 135937,
-      "rows": 3,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009649.lean\",\"67bc37d47a38d3d97bd071fed6b65f10ba4b67e9976deb394ae3f9d3f4542ed5\",0,\"ComplexNormAdd\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009650.lean\",\"c2507e477b7d8b52b0c1cf653ac916db0ff0ff9caaf43f62ced713492c83a497\",0,\"RealInequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009651.lean\",\"ff4b3aae1062ae86eadd775b0f82c3d4cd5ed5b7ef3f1a4186da0a233dcaf4b0\",0,\"PrimeP\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1185814,
+      "path": "data/train/p05/oproofs-s00002-r00009648-n000004-0000-ad1931b81e8001c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ad1931b81e8001c6dadcec5120d3f5736e92bfcb207d6e7fc1c0a9b7eeb4f5f4"
+    },
+    {
+      "bytes": 135937,
+      "path": "data/train/p05/oproofs-s00002-r00009648-n000004-0001-885276396fabce65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "885276396fabce6518284d5b65aa5b587584d5e35ce6bcf1c7024e8696f8b083"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009652-n000004.json b/manifests/batches/oproofs/s00002-r00009652-n000004.json
index 4fc6d293fa51ceb54fbbb23d67e7834c18fa9468..41c062951973c3387cb26a697bf00466f1d32e11 100644
--- a/manifests/batches/oproofs/s00002-r00009652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009652-n000004",
   "batch_fingerprint": "526e0016cddd15ee702d84cca4ef6f92cf476840da16244925f6c369633768a9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009652-n000004-0000-c7c51b12909554b7.parquet",
-      "sha256": "c7c51b12909554b7099baa216df30e4229022af30f420803464da6576c38aa24",
-      "bytes": 148820,
-      "rows": 7,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009652-n000004-0000-3ac4e112c16961fd.parquet",
-      "sha256": "3ac4e112c16961fd83065b04639bea68f3b99bb59bdf4b9567f1ba59aec9028c",
-      "bytes": 529065,
-      "rows": 6,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9653",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009653.lean\",\"406dfd0237d97a8ec66aeaf4e1a4f2c1401fee7d2e9ba6498e95dd78a3adaa03\",0,\"algebra_468017\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009654.lean\",\"23cf94d42d1de9a86a6c5c17bf8958a13fdaeea2b3ec5a0fa379d5043541bee6\",0,\"IntDiff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009655.lean\",\"c5a5a082d81cbb508696c586a3c2c35716a7e4e9a13667ad3931a2409c503c8d\",0,\"algebra_379564\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148820,
+      "path": "data/train/p66/oproofs-s00002-r00009652-n000004-0000-c7c51b12909554b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c7c51b12909554b7099baa216df30e4229022af30f420803464da6576c38aa24"
+    },
+    {
+      "bytes": 529065,
+      "path": "data/internal_test/p66/oproofs-s00002-r00009652-n000004-0000-3ac4e112c16961fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "3ac4e112c16961fd83065b04639bea68f3b99bb59bdf4b9567f1ba59aec9028c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009656-n000004.json b/manifests/batches/oproofs/s00002-r00009656-n000004.json
index d324a4decd7ff2b46c6032e64ae8f20eba18be95..9e08fc84a596d4da17852db63f2c752dc1397bd1 100644
--- a/manifests/batches/oproofs/s00002-r00009656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009656-n000004",
   "batch_fingerprint": "35c9004eb787ef501ff829d35057ca3b147cbaa8838f40e13edd0b63ba28e288",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9656",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9657",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9658",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9659"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009656.lean\",\"05cf1c7ea6a2acd36675eb06ab416020200f8575bd50ee28c8fce085a4e617d3\",0,\"algebra_456837\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009657.lean\",\"8c2b7a471af3ffbe43bc0730593b184a350c4f11cfcb84e1141bc0d66a3663a2\",0,\"algebra\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009658.lean\",\"2bb64b61573c16d60d0494eea9ef6cbe03dcfcf1b0962bc8652d1e2cb6a56edd\",0,\"algebra\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009659.lean\",\"2f4ce772da4e2afb20c2537e5d1d429a61f95cdfc26e871e8e942f6fc8154843\",0,\"inequalities\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009656-n000004-0000-2af6fdbe2e5321e0.parquet",
-      "sha256": "2af6fdbe2e5321e0dd8b41df79ce6dec5a58d8c6a3f085322b50a9462ead59c8",
       "bytes": 1003489,
+      "path": "data/train/pfd/oproofs-s00002-r00009656-n000004-0000-2af6fdbe2e5321e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "2af6fdbe2e5321e0dd8b41df79ce6dec5a58d8c6a3f085322b50a9462ead59c8"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009656-n000004-0001-24e94feab0063ab3.parquet",
-      "sha256": "24e94feab0063ab33285d17a5d56b6bc36aeeb9d50547f4094286dfd2f0ae1a2",
       "bytes": 168052,
+      "path": "data/train/pfd/oproofs-s00002-r00009656-n000004-0001-24e94feab0063ab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "24e94feab0063ab33285d17a5d56b6bc36aeeb9d50547f4094286dfd2f0ae1a2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009656-n000004-0000-2b21931cb77a45de.parquet",
-      "sha256": "2b21931cb77a45de76db92bcbb21d3becb82ded9d504b175842e38610a9068da",
       "bytes": 228313,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00009656-n000004-0000-2b21931cb77a45de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "2b21931cb77a45de76db92bcbb21d3becb82ded9d504b175842e38610a9068da"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9656",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9657",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9658",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9659"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009656.lean\",\"05cf1c7ea6a2acd36675eb06ab416020200f8575bd50ee28c8fce085a4e617d3\",0,\"algebra_456837\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009657.lean\",\"8c2b7a471af3ffbe43bc0730593b184a350c4f11cfcb84e1141bc0d66a3663a2\",0,\"algebra\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009658.lean\",\"2bb64b61573c16d60d0494eea9ef6cbe03dcfcf1b0962bc8652d1e2cb6a56edd\",0,\"algebra\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009659.lean\",\"2f4ce772da4e2afb20c2537e5d1d429a61f95cdfc26e871e8e942f6fc8154843\",0,\"inequalities\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009660-n000004.json b/manifests/batches/oproofs/s00002-r00009660-n000004.json
index 182f88b4bc35a5c5ec4c28d5a2ca8277a62a94d9..64de61b31b5fa7a984795cca858d352e776eccf1 100644
--- a/manifests/batches/oproofs/s00002-r00009660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009660-n000004",
   "batch_fingerprint": "6c43e7bbc6d06206630b80216a504e708d9ffe6fa80138775f50af563268d110",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009660-n000004-0000-69e1908a55b54ed1.parquet",
-      "sha256": "69e1908a55b54ed11ac1d9d4cf7c80f9378da539965937608810ed49bcc82193",
-      "bytes": 572359,
-      "rows": 11,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009660-n000004-0001-c64c4fa19f533206.parquet",
-      "sha256": "c64c4fa19f5332065c1791c00c190d9e7ce687a50eae0d48657910205b7414cb",
-      "bytes": 341806,
-      "rows": 2,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009661.lean\",\"a0615cdf440372ec8b4e20737da7d96775904afaff14c3743e6a34e89da0026d\",0,\"algebraic_247696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009662.lean\",\"64feaefcd2fc9232faa0a594d67d52a2626260f6476ea127122b3504e0e86875\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009663.lean\",\"1fb5d1437efa155e01e42ebe6e2ace5f8303d3c7d43e28ac44e2ebf9161a58bd\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 572359,
+      "path": "data/train/p97/oproofs-s00002-r00009660-n000004-0000-69e1908a55b54ed1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "69e1908a55b54ed11ac1d9d4cf7c80f9378da539965937608810ed49bcc82193"
+    },
+    {
+      "bytes": 341806,
+      "path": "data/train/p97/oproofs-s00002-r00009660-n000004-0001-c64c4fa19f533206.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c64c4fa19f5332065c1791c00c190d9e7ce687a50eae0d48657910205b7414cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009664-n000004.json b/manifests/batches/oproofs/s00002-r00009664-n000004.json
index cb0a70dcafc4b7dd963f1130d33770af9f1fafe7..ad26137b3d835dfd4776d61f36c7bc73106b2a16 100644
--- a/manifests/batches/oproofs/s00002-r00009664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009664-n000004",
   "batch_fingerprint": "66720d3d2c5167f0a4f2929da0547e883f575fdbd980f309bafbda9ecdd64bdf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009664-n000004-0000-d46cd4333a9a6f0f.parquet",
-      "sha256": "d46cd4333a9a6f0f049022138838c027256ef8eded4910acfe0cbcd568897928",
-      "bytes": 315397,
-      "rows": 20,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009664-n000004-0000-f8461f43ea0ddf97.parquet",
-      "sha256": "f8461f43ea0ddf975d8ac6641351b9f0c28a9ceece2f112e21a1ce84cdf6233e",
-      "bytes": 561578,
-      "rows": 5,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009665.lean\",\"faa1dd2762396732a0063e041bc0dbdbf1a3fa1e8ce2952fcdd9b4f1c32f7966\",0,\"lean_workbook_41259\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009666.lean\",\"5147a94cf3842222878556a748ed659bc38be8a728d4a9fe7a23113a8a93aa77\",0,\"sqrt_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009667.lean\",\"0c666d49ff2c9af6153f54967f92a1c7e45b6046d6e1c1d0cc4f661a8c508fc4\",0,\"proveCubic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315397,
+      "path": "data/train/pee/oproofs-s00002-r00009664-n000004-0000-d46cd4333a9a6f0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d46cd4333a9a6f0f049022138838c027256ef8eded4910acfe0cbcd568897928"
+    },
+    {
+      "bytes": 561578,
+      "path": "data/internal_test/pee/oproofs-s00002-r00009664-n000004-0000-f8461f43ea0ddf97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f8461f43ea0ddf975d8ac6641351b9f0c28a9ceece2f112e21a1ce84cdf6233e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009668-n000004.json b/manifests/batches/oproofs/s00002-r00009668-n000004.json
index 3493d37c8b31ecc1bff0f6a4e46ede09fac40c8c..22dd172387e5e53da8083600f518d18043eee52b 100644
--- a/manifests/batches/oproofs/s00002-r00009668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009668-n000004",
   "batch_fingerprint": "d078064a11ef8c2ce1f4d0d100d1b2700833c428d3c6c9158aec769232359595",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009668-n000004-0000-ac893e1be3636b0b.parquet",
-      "sha256": "ac893e1be3636b0bdf5e25697790269c7c4a99cf3a2aed86a76a05ccaadc1208",
-      "bytes": 792611,
-      "rows": 21,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009668-n000004-0000-402082bb241142c0.parquet",
-      "sha256": "402082bb241142c089e8e26a129513a070cf68180755a552a24e483adf95e3ae",
-      "bytes": 190208,
-      "rows": 5,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009669.lean\",\"509bcd359ae0f0b698184a50c492d03b8588d9b2b5dc322123011aac1ec6b4a7\",0,\"for_all_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009670.lean\",\"9fdff1075b41bfed546c6a8aa62f95980003653de8be01d8e40b855218779573\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009671.lean\",\"df10f05b6421ded7c276458e6e84e07453a66212a6fd9329b011d4905b492d19\",0,\"OddIntSquare\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 792611,
+      "path": "data/train/pb2/oproofs-s00002-r00009668-n000004-0000-ac893e1be3636b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ac893e1be3636b0bdf5e25697790269c7c4a99cf3a2aed86a76a05ccaadc1208"
+    },
+    {
+      "bytes": 190208,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00009668-n000004-0000-402082bb241142c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "402082bb241142c089e8e26a129513a070cf68180755a552a24e483adf95e3ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009672-n000004.json b/manifests/batches/oproofs/s00002-r00009672-n000004.json
index dafe24b8db45b89fe3f392d695d3db9f2a143bda..85be8582759cadbf5fec47be71f094a81d63bbdb 100644
--- a/manifests/batches/oproofs/s00002-r00009672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009672-n000004",
   "batch_fingerprint": "b39ce928b95390203ffca3ac2926d0f3c1c7235a1e9d42845991b993880ecc61",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009672-n000004-0000-f68a7331cf41c9f9.parquet",
-      "sha256": "f68a7331cf41c9f93a73646f17eb84a89f9395e54c830612a71fbbc032daf473",
-      "bytes": 193494,
-      "rows": 9,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009672-n000004-0000-6261eea37df4874c.parquet",
-      "sha256": "6261eea37df4874c312202992aaba39a7d22cca6b2ce1482e4f83769767bfc8c",
-      "bytes": 186421,
-      "rows": 7,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9673",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009672.lean\",\"f5b187b7e12764193bf403f105a57b5ca9f996fec7de8f929bd9b00f5ee32e59\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009673.lean\",\"8c29a46051de8b4a21cf0e0c20bd37f370b07aad64eff52cd1c7c69668b30df7\",0,\"algebraic_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009674.lean\",\"c5b7446e196a25471dad2024dc63b9cd850abd1b832349bd1b24db47cd92bd3a\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193494,
+      "path": "data/train/pb6/oproofs-s00002-r00009672-n000004-0000-f68a7331cf41c9f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f68a7331cf41c9f93a73646f17eb84a89f9395e54c830612a71fbbc032daf473"
+    },
+    {
+      "bytes": 186421,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00009672-n000004-0000-6261eea37df4874c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6261eea37df4874c312202992aaba39a7d22cca6b2ce1482e4f83769767bfc8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009676-n000004.json b/manifests/batches/oproofs/s00002-r00009676-n000004.json
index 9a326e36c8c53aafefc688c45452b0c95dd4029a..5d88eb5edd4e545d691b28adb16ace89f9872241 100644
--- a/manifests/batches/oproofs/s00002-r00009676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009676-n000004",
   "batch_fingerprint": "b58ac63a180fd12956b3ed1bd2fab918ae117e032ff259337c4cce9810d8b666",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009676-n000004-0000-457794ffd30cbb88.parquet",
-      "sha256": "457794ffd30cbb886a716f0aa0573da499ce7b45707ed04cd6113cdbb6cb85f0",
-      "bytes": 196057,
-      "rows": 18,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009677.lean\",\"de15855e3a521952d9c66ab07b1e335e78cd8dea1d5e0e15cdfc50b6283f0848\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009678.lean\",\"5bb01ba9cda9c185788976ed9c209140228bc9496ed3ff9f3f832c5f879a74a8\",0,\"Proven\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009679.lean\",\"1851fc19db5f66e105d26f3aacae36bf926aaf6e3698ceebdbdb8477007f92f5\",0,\"prove_f_prime\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196057,
+      "path": "data/train/p7c/oproofs-s00002-r00009676-n000004-0000-457794ffd30cbb88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "457794ffd30cbb886a716f0aa0573da499ce7b45707ed04cd6113cdbb6cb85f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009680-n000004.json b/manifests/batches/oproofs/s00002-r00009680-n000004.json
index 215b8064dcf1ea7e2d54455339a797f72b201f56..9c09874999d685c4659add90d2a6890a55e5bd18 100644
--- a/manifests/batches/oproofs/s00002-r00009680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009680-n000004",
   "batch_fingerprint": "dc6a66751859003bf12c006f1df673fc1a5bb6deb688e77aa96c533b354dcb85",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9680",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9681",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9682",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9683"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009680.lean\",\"d6c267befac0833f9270a922de90f4ff76fdde92ce4af47382e24e488b8c21ad\",0,\"algebra_376763\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009681.lean\",\"679c3ac83c376f99f499faa0a6951234e1e54092baf5313ed03d06337a99954a\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009682.lean\",\"f474370b850f3282ef16bf1274b27a27c7dd3627788e9bf5c3906d108f386562\",0,\"inequalities_9879\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009683.lean\",\"551662355130937f37e7a50f0aeb8667c13d3a215dbc916efef186f9e5346c3d\",0,\"integer_points\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009680-n000004-0000-9780620ab7b33cd1.parquet",
-      "sha256": "9780620ab7b33cd1be154a167d83c1475f9ee2fae31832deadf62334d18afe1b",
       "bytes": 957069,
+      "path": "data/train/p17/oproofs-s00002-r00009680-n000004-0000-9780620ab7b33cd1.parquet",
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-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "9780620ab7b33cd1be154a167d83c1475f9ee2fae31832deadf62334d18afe1b"
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-      "path": "data/train/oproofs-s00002-r00009680-n000004-0001-ce3f5da64d52ac18.parquet",
-      "sha256": "ce3f5da64d52ac185d685e91a123e05006ca5dedffefa40fdaf284c02f47065b",
       "bytes": 1072521,
+      "path": "data/train/p17/oproofs-s00002-r00009680-n000004-0001-ce3f5da64d52ac18.parquet",
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       "rows": 3,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "ce3f5da64d52ac185d685e91a123e05006ca5dedffefa40fdaf284c02f47065b"
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-      "path": "data/train/oproofs-s00002-r00009680-n000004-0002-baf3e1bc2f9ce5c6.parquet",
-      "sha256": "baf3e1bc2f9ce5c69e381f2751e2adc9bb0b320bdf210463aa6fc4a0b3228491",
       "bytes": 72749,
+      "path": "data/train/p17/oproofs-s00002-r00009680-n000004-0002-baf3e1bc2f9ce5c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "baf3e1bc2f9ce5c69e381f2751e2adc9bb0b320bdf210463aa6fc4a0b3228491"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009680-n000004-0000-d645fe01ce827a88.parquet",
-      "sha256": "d645fe01ce827a88ecefa8a46bbe5063eba8d75b51738bf598504c36b2fa4bee",
       "bytes": 61782,
+      "path": "data/internal_test/p17/oproofs-s00002-r00009680-n000004-0000-d645fe01ce827a88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
+      "sha256": "d645fe01ce827a88ecefa8a46bbe5063eba8d75b51738bf598504c36b2fa4bee"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9680",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9681",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9682",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9683"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009680.lean\",\"d6c267befac0833f9270a922de90f4ff76fdde92ce4af47382e24e488b8c21ad\",0,\"algebra_376763\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009681.lean\",\"679c3ac83c376f99f499faa0a6951234e1e54092baf5313ed03d06337a99954a\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009682.lean\",\"f474370b850f3282ef16bf1274b27a27c7dd3627788e9bf5c3906d108f386562\",0,\"inequalities_9879\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009683.lean\",\"551662355130937f37e7a50f0aeb8667c13d3a215dbc916efef186f9e5346c3d\",0,\"integer_points\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009684-n000004.json b/manifests/batches/oproofs/s00002-r00009684-n000004.json
index d5a79a1f11963d7d2c57603338b17c0d1f76f64d..8ed802f1b3f59c8daa1e2a434f5deeb4c7e9590e 100644
--- a/manifests/batches/oproofs/s00002-r00009684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009684-n000004",
   "batch_fingerprint": "a125721452fc597937a3a2c655ed6d071ddda26ce677acbd10b0cdd70ecfc374",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009684-n000004-0000-3017c9703c948d4e.parquet",
-      "sha256": "3017c9703c948d4e6405f1d271044e1d05f455c2bcc2adacaba3c2283b9c0756",
-      "bytes": 856757,
-      "rows": 23,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009684-n000004-0000-c2d7d9c7fefbd8c0.parquet",
-      "sha256": "c2d7d9c7fefbd8c0f9d0b206ea0fbf2e8a91347be051a6f8ebc214b8a535e3fe",
-      "bytes": 31461,
-      "rows": 1,
-      "revision": "297fca8c2530f7cbd57f3e8b38480d63c0b57468"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009685.lean\",\"fbd6949d89dac9750b9ef9cf1b287022bcde527e7420a45ae7b9c47fa0058769\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009686.lean\",\"eca4f7a79fa030dfaf2a513176753736a814187cdebcfa17a4e45d202c3f5bac\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009687.lean\",\"1bd984d00f8a9b4cf164b7927a25f54ec8f0f1794648b75168558a2f40858d1f\",0,\"sqrt_467389\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 856757,
+      "path": "data/train/p07/oproofs-s00002-r00009684-n000004-0000-3017c9703c948d4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "3017c9703c948d4e6405f1d271044e1d05f455c2bcc2adacaba3c2283b9c0756"
+    },
+    {
+      "bytes": 31461,
+      "path": "data/internal_test/p07/oproofs-s00002-r00009684-n000004-0000-c2d7d9c7fefbd8c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "c2d7d9c7fefbd8c0f9d0b206ea0fbf2e8a91347be051a6f8ebc214b8a535e3fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009688-n000004.json b/manifests/batches/oproofs/s00002-r00009688-n000004.json
index 6bd0298fb1bf32e5441e321809895fba03371715..b9e4ccc9c36a89ae3508d2649827dcff808482c1 100644
--- a/manifests/batches/oproofs/s00002-r00009688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009688-n000004",
   "batch_fingerprint": "77c431a5134b88b8b02e15f48a04b486696877ae131aca93605829b3a74c7d26",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9688",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9689",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9690",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9691"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009688.lean\",\"ab39c6f8dd86858c01ca4845ab301470b58d5462dd9dad8e635f1bc046cd4ced\",0,\"Tendsto\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009689.lean\",\"9be965ca8c0b88518a46ce5dae3972234ce9aabe982ed59162de7e503eca025f\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009690.lean\",\"5a729325d69d6f0faca09336c21edaf2479418def0df27414fb33b07d7539e46\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009691.lean\",\"8be38df4f1b308d3991ba580507a4819b2914e7163f37dd8466a1b53c8219338\",0,\"sum_infinite\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009688-n000004-0000-01afd7aa554de188.parquet",
-      "sha256": "01afd7aa554de18807c33f641cfb0ff5ebe31af574d61293425fc9a213989a92",
       "bytes": 401329,
+      "path": "data/train/pd2/oproofs-s00002-r00009688-n000004-0000-01afd7aa554de188.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
+      "sha256": "01afd7aa554de18807c33f641cfb0ff5ebe31af574d61293425fc9a213989a92"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009688-n000004-0000-f93273297ef1ce65.parquet",
-      "sha256": "f93273297ef1ce6544caf02903d95c423e49e143e0b69382e61a1ef5b804bb15",
       "bytes": 100374,
+      "path": "data/dev/pd2/oproofs-s00002-r00009688-n000004-0000-f93273297ef1ce65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
+      "sha256": "f93273297ef1ce6544caf02903d95c423e49e143e0b69382e61a1ef5b804bb15"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009688-n000004-0000-f0d8c18aa28f079f.parquet",
-      "sha256": "f0d8c18aa28f079f6c3b51ec834290235a54e3560f99251c57408cfc570c13e6",
       "bytes": 44981,
+      "path": "data/internal_test/pd2/oproofs-s00002-r00009688-n000004-0000-f0d8c18aa28f079f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "e4c269eb6b214d318a2806d1ffc33057ae0bc61a"
+      "sha256": "f0d8c18aa28f079f6c3b51ec834290235a54e3560f99251c57408cfc570c13e6"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9688",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9689",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9690",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9691"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009688.lean\",\"ab39c6f8dd86858c01ca4845ab301470b58d5462dd9dad8e635f1bc046cd4ced\",0,\"Tendsto\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009689.lean\",\"9be965ca8c0b88518a46ce5dae3972234ce9aabe982ed59162de7e503eca025f\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009690.lean\",\"5a729325d69d6f0faca09336c21edaf2479418def0df27414fb33b07d7539e46\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009691.lean\",\"8be38df4f1b308d3991ba580507a4819b2914e7163f37dd8466a1b53c8219338\",0,\"sum_infinite\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009692-n000004.json b/manifests/batches/oproofs/s00002-r00009692-n000004.json
index a2794f6e2acf05e90c490ef3379b5610a8137d97..29ab48d6973e91e07094359777893168c99fa0a7 100644
--- a/manifests/batches/oproofs/s00002-r00009692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009692-n000004",
   "batch_fingerprint": "7a4f8258d2dd1a8799f6e78d7059b0bc45120fd4368557ef590cc8d195422949",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009692-n000004-0000-2507bc59454cf893.parquet",
-      "sha256": "2507bc59454cf893091e982010bd917c53746885a9b66ea38579cce017b755e9",
-      "bytes": 826827,
-      "rows": 9,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009692-n000004-0001-b25bd3abe01ed38e.parquet",
-      "sha256": "b25bd3abe01ed38ef5bdf9964033973bd3fc7a8edafac868dc9b149d2efe42ae",
-      "bytes": 1019375,
-      "rows": 9,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9693",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009693.lean\",\"fc59d71f70a7301ff0aa94da381ad077d7cadf940b08806b310d5158f0f9bf58\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009694.lean\",\"3ace2bfe871139b55e1fcb687a2ea42c004b09d738df9eefd87433b4d0c684ac\",0,\"FunctionSurjective\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009695.lean\",\"bceeaa8c95a815a5c556484f837b4f6adf0678d45dce81bfc9053b8e6cee2254\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 826827,
+      "path": "data/train/pbc/oproofs-s00002-r00009692-n000004-0000-2507bc59454cf893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2507bc59454cf893091e982010bd917c53746885a9b66ea38579cce017b755e9"
+    },
+    {
+      "bytes": 1019375,
+      "path": "data/train/pbc/oproofs-s00002-r00009692-n000004-0001-b25bd3abe01ed38e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b25bd3abe01ed38ef5bdf9964033973bd3fc7a8edafac868dc9b149d2efe42ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009696-n000004.json b/manifests/batches/oproofs/s00002-r00009696-n000004.json
index 7e4534fddc83e2ee0c7f61d50343d48fb4901c57..fe6cff2501a2941bf3d44a2357a2438c5646e9f7 100644
--- a/manifests/batches/oproofs/s00002-r00009696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009696-n000004",
   "batch_fingerprint": "1f224c21c48b8629938955a7752618e87a605140dbffd232bf105e4b550d007a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009696-n000004-0000-60ec50d6bf2a2a81.parquet",
-      "sha256": "60ec50d6bf2a2a811905282d4b144f85552ca95b0dc516eab3bcbedf508a3339",
-      "bytes": 925700,
-      "rows": 9,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009696-n000004-0000-ff7c02965e0006af.parquet",
-      "sha256": "ff7c02965e0006af521ec8375a45fb1e3e639cedb5da61738c4a4e68ba7090fd",
-      "bytes": 382103,
-      "rows": 7,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009697.lean\",\"6b84525bb71e693f371ec619dbddd63f387e14b111a461d80e56e6d578d79e30\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009698.lean\",\"1567d160190a590e5cbbc8442e09fa6c626cc78bfbc9828bf10e0c3fbf206782\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009699.lean\",\"15ec6d5dc982d5f45b4c3267ddd5ed4093698feece7778db1395909180f147f7\",0,\"algebra_435698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 925700,
+      "path": "data/train/p41/oproofs-s00002-r00009696-n000004-0000-60ec50d6bf2a2a81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "60ec50d6bf2a2a811905282d4b144f85552ca95b0dc516eab3bcbedf508a3339"
+    },
+    {
+      "bytes": 382103,
+      "path": "data/internal_test/p41/oproofs-s00002-r00009696-n000004-0000-ff7c02965e0006af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ff7c02965e0006af521ec8375a45fb1e3e639cedb5da61738c4a4e68ba7090fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009700-n000004.json b/manifests/batches/oproofs/s00002-r00009700-n000004.json
index 82a16623333d2024e0748bd70f53f9673c61118c..16483818b8fa5992824793073d02feffbeb894f8 100644
--- a/manifests/batches/oproofs/s00002-r00009700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009700-n000004",
   "batch_fingerprint": "d27bb9102c79bcd9cafd8713b26518475d239c3f22687549e96589f616f62338",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009700-n000004-0000-aafccd48ced029f4.parquet",
-      "sha256": "aafccd48ced029f45e6f6d6f05c799f9c352d8345aa870d12d826c379166b7b6",
-      "bytes": 1380309,
-      "rows": 14,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009700-n000004-0001-a14e693de279d667.parquet",
-      "sha256": "a14e693de279d6678154291ee4f079ef3dde11272384925fa0a73452e9afc0ea",
-      "bytes": 822036,
-      "rows": 4,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009701.lean\",\"25a73967f3e51c69939e2a3fc1edf09e747acd83058355b309660febd9b2ee80\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009702.lean\",\"e10a1c8fd490e732ea36fcf0150b948396c87092c8860f3925418a6796184348\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009703.lean\",\"f9e93d31d903951bc06719cbd0685782a13eec7d8ca1d381ae89c37c90141e47\",0,\"sqrt_311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1380309,
+      "path": "data/train/p83/oproofs-s00002-r00009700-n000004-0000-aafccd48ced029f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "aafccd48ced029f45e6f6d6f05c799f9c352d8345aa870d12d826c379166b7b6"
+    },
+    {
+      "bytes": 822036,
+      "path": "data/train/p83/oproofs-s00002-r00009700-n000004-0001-a14e693de279d667.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a14e693de279d6678154291ee4f079ef3dde11272384925fa0a73452e9afc0ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009704-n000004.json b/manifests/batches/oproofs/s00002-r00009704-n000004.json
index 58a3b82890d4b9e6c1132a6bfe8589f52d604b59..8122808938f5b8bd173d75b246c045d3cded7ca9 100644
--- a/manifests/batches/oproofs/s00002-r00009704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009704-n000004",
   "batch_fingerprint": "eac8092198e97b59fbfea79fdc48e73e3f16b7001b9ec910fd4035dfe188d80e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009704-n000004-0000-a053a10c4328c403.parquet",
-      "sha256": "a053a10c4328c4038cd80d647da2ae2273b016849ffef8d5d039de400cd4a957",
-      "bytes": 848898,
-      "rows": 24,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009705.lean\",\"a9353d90f0c27075ab7413c4ae07afd24216ed4b91687134875020993a608ae9\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009706.lean\",\"f252845b59fc7710da4ff43867d16607a464c12b1336b27ddbc7dae6496f1cdb\",0,\"algebraicEquation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009707.lean\",\"c642b2a63184fc0016bb724b09a1d2620c7911d5f094f779e14f29e27fe1e289\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 848898,
+      "path": "data/train/p0d/oproofs-s00002-r00009704-n000004-0000-a053a10c4328c403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a053a10c4328c4038cd80d647da2ae2273b016849ffef8d5d039de400cd4a957"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009708-n000004.json b/manifests/batches/oproofs/s00002-r00009708-n000004.json
index 5bd9e3a5c9f1557fe03292e9cec698923f7173e0..90f35d14f350c5cbcbbc53c14df95ed328deca05 100644
--- a/manifests/batches/oproofs/s00002-r00009708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009708-n000004",
   "batch_fingerprint": "90f843b240c05450b347d2d4c92e048b09f355b6ccf4ab961707e5e88ff0fa0b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9708",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9709",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9710",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9711"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009708.lean\",\"3085d39ccf61b3efa045849907efae8c97def6814b5679c599dbc5caadee6438\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009709.lean\",\"7b7990ac0a28820cad4a53606a97949b04f90740925e16ba6daa05772fc6aa29\",0,\"Real.sqrt_inequality\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009710.lean\",\"2aa49cb7801b3bc00616d4755d905b7f42c750fe788e06f12ef9c9c8e05872b2\",0,\"algebra_494575\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009711.lean\",\"be22e3cccf403dd0e4c9859600872818947323a8f688fc372a4d3daa75612542\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009708-n000004-0000-ad147293c544b28b.parquet",
-      "sha256": "ad147293c544b28b6b83c2935471d885b043aec13afcf597fca307fe893d036c",
       "bytes": 1266619,
+      "path": "data/train/p55/oproofs-s00002-r00009708-n000004-0000-ad147293c544b28b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "ad147293c544b28b6b83c2935471d885b043aec13afcf597fca307fe893d036c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009708-n000004-0001-1eb513045cf0e057.parquet",
-      "sha256": "1eb513045cf0e057fdf12ec62a0572b2192cdacdde4188a54bd120373c57cde9",
       "bytes": 590465,
+      "path": "data/train/p55/oproofs-s00002-r00009708-n000004-0001-1eb513045cf0e057.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "1eb513045cf0e057fdf12ec62a0572b2192cdacdde4188a54bd120373c57cde9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009708-n000004-0000-9a137efe5e8a2bae.parquet",
-      "sha256": "9a137efe5e8a2bae21976d176f275f390368fba126012c8e99e1c42aaf1d414f",
       "bytes": 56722,
+      "path": "data/internal_test/p55/oproofs-s00002-r00009708-n000004-0000-9a137efe5e8a2bae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
+      "sha256": "9a137efe5e8a2bae21976d176f275f390368fba126012c8e99e1c42aaf1d414f"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9708",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9709",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9710",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9711"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009708.lean\",\"3085d39ccf61b3efa045849907efae8c97def6814b5679c599dbc5caadee6438\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009709.lean\",\"7b7990ac0a28820cad4a53606a97949b04f90740925e16ba6daa05772fc6aa29\",0,\"Real.sqrt_inequality\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009710.lean\",\"2aa49cb7801b3bc00616d4755d905b7f42c750fe788e06f12ef9c9c8e05872b2\",0,\"algebra_494575\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009711.lean\",\"be22e3cccf403dd0e4c9859600872818947323a8f688fc372a4d3daa75612542\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009712-n000004.json b/manifests/batches/oproofs/s00002-r00009712-n000004.json
index a4fc4c3ba17cd4a8e388162cc4b33a690d71bfd7..9a691c289c486735c4fd24a1d4168cf3185b7109 100644
--- a/manifests/batches/oproofs/s00002-r00009712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009712-n000004",
   "batch_fingerprint": "b1619993fc19684ea12cb87b92798b8de8d9aed49a63491e44af4f50b1c6c038",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009712-n000004-0000-fd26ad4c92371555.parquet",
-      "sha256": "fd26ad4c92371555f04c5884ffd6a34b2d45d5474936452c2e75b8069d95be90",
-      "bytes": 854806,
-      "rows": 14,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009712-n000004-0000-2b126eea0650bb2f.parquet",
-      "sha256": "2b126eea0650bb2f594edccaf4c767c22af1f8ecd4064363016cb4adc43d78e8",
-      "bytes": 242814,
-      "rows": 5,
-      "revision": "3734e21f19b876ffb1a8ec00f88773ea0610d63e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9713",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9714",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009713.lean\",\"c078d7f98c83bfb54788f5d5310f4d8fc2f840c59bd2e5adc9d88f472096dd8c\",0,\"IntSquare\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009714.lean\",\"7c4eb01a3dfb45fc785c8991a42262b46b7681637572d82ef5bea5f7e91abd5c\",0,\"Real_ineq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009715.lean\",\"a39919bde1cd37554659920ca50695ad8591dca1174bae093cfde916f1f659cb\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 854806,
+      "path": "data/train/p37/oproofs-s00002-r00009712-n000004-0000-fd26ad4c92371555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fd26ad4c92371555f04c5884ffd6a34b2d45d5474936452c2e75b8069d95be90"
+    },
+    {
+      "bytes": 242814,
+      "path": "data/internal_test/p37/oproofs-s00002-r00009712-n000004-0000-2b126eea0650bb2f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2b126eea0650bb2f594edccaf4c767c22af1f8ecd4064363016cb4adc43d78e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009716-n000004.json b/manifests/batches/oproofs/s00002-r00009716-n000004.json
index 53a61cc2bd63cd78102e3a422c199546a68bb3a7..b583041441977af35bf66c043553b7c086b63204 100644
--- a/manifests/batches/oproofs/s00002-r00009716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009716-n000004",
   "batch_fingerprint": "4c7b59545a30c87ea4fd1a8ee566682eff87730fdbfd2101c61496c2c3abec02",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009716-n000004-0000-2b71da26eb32d369.parquet",
-      "sha256": "2b71da26eb32d369e8b692e909578153a99ca127e729217c31ea2525573c40b5",
-      "bytes": 660279,
-      "rows": 20,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009717.lean\",\"279ecb54e4d1cb0cda7bedda2f5ba5abb138676fc2cd4c8096119f957fc84f91\",0,\"prod_incr\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009718.lean\",\"92fe5b10c0de8f447cae8d60df119a6d5cfe224f8e4d94914d1eec61df5f80d0\",0,\"algebra_486519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009719.lean\",\"6d0f5117e6c5e75eb04365176dba46b00e6b6fb3b25ab39cdb713a4b8b016e69\",0,\"PrimeIsSquare\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 660279,
+      "path": "data/train/p76/oproofs-s00002-r00009716-n000004-0000-2b71da26eb32d369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2b71da26eb32d369e8b692e909578153a99ca127e729217c31ea2525573c40b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009720-n000004.json b/manifests/batches/oproofs/s00002-r00009720-n000004.json
index 006982dc8717c5c209fd3546efb7517819e59580..69f8397883ea1c639c0432e92c2a64f4927e9ef0 100644
--- a/manifests/batches/oproofs/s00002-r00009720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009720-n000004",
   "batch_fingerprint": "4f14a852ff1d2761cd696f7fb999bf200614f484879d5433837c8f1bf56c5d70",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009720-n000004-0000-1c296c6b067248da.parquet",
-      "sha256": "1c296c6b067248dab38c19a68d904e92d180cf404523f48e1041dad20b7025a6",
-      "bytes": 431862,
-      "rows": 19,
-      "revision": "08edcfffc2ca6bb4ffa96d62990d9ed681400914"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009721.lean\",\"672c1bd3a3ee9c83d7454befb51d0bfeb9c968e79af259cfb2ed4cccd2c7417a\",0,\"PrimeP\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009722.lean\",\"ce019189117768edf03dc2e9e60353f057828de46035141255d797c166876311\",0,\"IntDiff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009723.lean\",\"0678214fa76321014c027489bcc3be1eee964d7282b094bc24efaf503b74c58c\",0,\"algebra_468017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 431862,
+      "path": "data/train/p14/oproofs-s00002-r00009720-n000004-0000-1c296c6b067248da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1c296c6b067248dab38c19a68d904e92d180cf404523f48e1041dad20b7025a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009724-n000004.json b/manifests/batches/oproofs/s00002-r00009724-n000004.json
index ee39d35e5d87fa88a6e07a325bdff895e354d031..02182e9f23e843c3638cbc9e96f9ba9ca96a2c9a 100644
--- a/manifests/batches/oproofs/s00002-r00009724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009724-n000004",
   "batch_fingerprint": "94ebda7b8d55680c26714251e5d81c9179cf0efc414954a9dee77d39dbc987d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009724-n000004-0000-eadfb180955a6b9f.parquet",
-      "sha256": "eadfb180955a6b9fe18b5741e27de3df484c4e3b436d3dc9c8a431c64c5f4d67",
-      "bytes": 870013,
-      "rows": 16,
-      "revision": "4a6670ae7aa6d9f837c92d4de61e7ad26f7f8aeb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009725.lean\",\"609100a51c32447152b502b6dd6dd5f349e9ab295c72061775f05061c5e31752\",0,\"algebra_379564\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009726.lean\",\"be0030f39b560725e329475e73691304c833e41f25bbb9ff6758e87aa14ac640\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009727.lean\",\"68df5c4a3b4303c217e0a95e3de068eea19a704f2d1d2f109e47bf669711907b\",0,\"quadratic_formula\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 870013,
+      "path": "data/train/p0b/oproofs-s00002-r00009724-n000004-0000-eadfb180955a6b9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "eadfb180955a6b9fe18b5741e27de3df484c4e3b436d3dc9c8a431c64c5f4d67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009728-n000004.json b/manifests/batches/oproofs/s00002-r00009728-n000004.json
index 761cb9122c22588ff4db8e86047c7b1057702c28..e41809a8be15b97efd8d40c9c3dc6acefdee9617 100644
--- a/manifests/batches/oproofs/s00002-r00009728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009728-n000004",
   "batch_fingerprint": "4e2948377995395bf98611b715e6cb03cf74a2ecb26b0b1a8540c930ae9053e1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009728-n000004-0000-320f93f65905e112.parquet",
-      "sha256": "320f93f65905e1123110bf22c8a98ba8b8389febde8cd78943453c1edf156195",
-      "bytes": 89714,
-      "rows": 11,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009728-n000004-0000-5ccfdf95010d050d.parquet",
-      "sha256": "5ccfdf95010d050da7a7ca89f2225d3635c2ff96880a273bce55a8de62d1aa0f",
-      "bytes": 54576,
-      "rows": 3,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009729.lean\",\"fffc5f59b6c4bf803f9ace46588656649a93e6c01315645150162498a4046479\",0,\"lean_workbook_21123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009730.lean\",\"98787918baef303f24df29009d2b0fdf8339b00c821bc6210ad7e352cb1e208d\",0,\"lean_workbook_plus_7012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009731.lean\",\"239c7b2f9ceb698c4747d5467c086752fff69e4f4de66eb88ca08d80d0d0d5b5\",0,\"lean_workbook_plus_62610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89714,
+      "path": "data/train/pa6/oproofs-s00002-r00009728-n000004-0000-320f93f65905e112.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "320f93f65905e1123110bf22c8a98ba8b8389febde8cd78943453c1edf156195"
+    },
+    {
+      "bytes": 54576,
+      "path": "data/dev/pa6/oproofs-s00002-r00009728-n000004-0000-5ccfdf95010d050d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5ccfdf95010d050da7a7ca89f2225d3635c2ff96880a273bce55a8de62d1aa0f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009732-n000004.json b/manifests/batches/oproofs/s00002-r00009732-n000004.json
index 3fc02c39679cda20cb45241a0c03cb757b4711d2..947d1d92c0b253119965bed060c7ca54bfd40e25 100644
--- a/manifests/batches/oproofs/s00002-r00009732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009732-n000004",
   "batch_fingerprint": "db7a39c44a29e985a8e41dd533fd451d743e5a73b7dbb9d35c957a551a6fe1e5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009732-n000004-0000-3c6b0d2e9ac8d978.parquet",
-      "sha256": "3c6b0d2e9ac8d978d26e2ac9ff89d27a60b9a81c0db20b2a3b27498f48d483b1",
-      "bytes": 285687,
-      "rows": 26,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009733.lean\",\"1f430a828933214a10f7fba527e3fcee78bd92987b14579e831f54b3572c65cf\",0,\"lean_workbook_plus_13954\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009734.lean\",\"dff125a5439c630f0190d225e49622ab673d5b5f3424877a12a5aebe62da6b0d\",0,\"lean_workbook_plus_57949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009735.lean\",\"38f9049c78554b984676e63a4df52015f3498f358a931ace8b4da6e9d6577c86\",0,\"lean_workbook_plus_23267\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285687,
+      "path": "data/train/pc9/oproofs-s00002-r00009732-n000004-0000-3c6b0d2e9ac8d978.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "3c6b0d2e9ac8d978d26e2ac9ff89d27a60b9a81c0db20b2a3b27498f48d483b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009736-n000004.json b/manifests/batches/oproofs/s00002-r00009736-n000004.json
index 7341baa5f2ea5adf02604fb71f1d9a29c3900747..d2f35c6caccbeef8ce54cb4544844aa8ec9b7f00 100644
--- a/manifests/batches/oproofs/s00002-r00009736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009736-n000004",
   "batch_fingerprint": "e39158c5d2d091cc0bd4badba2acc7fcc0debc01f73341b36f45825e6e264e59",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009736-n000004-0000-c2d1ab8354759f1e.parquet",
-      "sha256": "c2d1ab8354759f1eeeea2f13497cc15edc68554c6a4fbd60d8ebd87f9c7de92c",
-      "bytes": 436448,
-      "rows": 26,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009736-n000004-0000-5a1aebece1cff2b6.parquet",
-      "sha256": "5a1aebece1cff2b6acaa246d8ad50d1db094861fbbcecf5493fba74e9f183c4b",
-      "bytes": 81150,
-      "rows": 8,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009737.lean\",\"ce9f982983bfd3116ab09d1d4fb0a72bab5ab5e63538f55f4c013dab6ef3dfd4\",0,\"lean_workbook_plus_37488\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009738.lean\",\"8f121ca9190fff415675c5fb1e78a9f4d8931180ed4a711e05fbd302daeb3cb4\",0,\"lean_workbook_plus_12795\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009739.lean\",\"13633106eb72d0cae1c45d97556db3dcdc88ca6a15fbd0dc4f65bbb58a205ac0\",0,\"lean_workbook_plus_50959\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 436448,
+      "path": "data/train/pe4/oproofs-s00002-r00009736-n000004-0000-c2d1ab8354759f1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "c2d1ab8354759f1eeeea2f13497cc15edc68554c6a4fbd60d8ebd87f9c7de92c"
+    },
+    {
+      "bytes": 81150,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00009736-n000004-0000-5a1aebece1cff2b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "5a1aebece1cff2b6acaa246d8ad50d1db094861fbbcecf5493fba74e9f183c4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009740-n000004.json b/manifests/batches/oproofs/s00002-r00009740-n000004.json
index 814a23ea50a5ff7f7d74910248b7dee8ad3f35ed..a2f39aa7a93334be5c0d110eee5370b2ade70602 100644
--- a/manifests/batches/oproofs/s00002-r00009740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009740-n000004",
   "batch_fingerprint": "fa6fc2334ae1038780f0686ddea0cfa27178e88a750ee565d589d1a920b92acd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009740-n000004-0000-098d6f3e25fa0b4c.parquet",
-      "sha256": "098d6f3e25fa0b4c73cccf78d6b64f5d219e47beaa81fc3f0d6c2b6867a9a8dc",
-      "bytes": 159321,
-      "rows": 8,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009740-n000004-0000-74f464945655d5af.parquet",
-      "sha256": "74f464945655d5af36d31fb67d2773403d16b168d69c5244221065bbebefecea",
-      "bytes": 62785,
-      "rows": 3,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009741.lean\",\"791bf53fe7352812a71efe626e1150f14ec28845edcbf953f3178881900dc50b\",0,\"lean_workbook_plus_28173\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009742.lean\",\"2169ea14ae558370538a9660c58fbb78f810fa98bea621cc6c9a15c40fe3528b\",0,\"lean_workbook_29310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009743.lean\",\"a007a5e8846e1203cf80c4df145687f1eb1d2f755e8b4a4df11ed5cd16519531\",0,\"lean_workbook_plus_38229\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159321,
+      "path": "data/train/p6e/oproofs-s00002-r00009740-n000004-0000-098d6f3e25fa0b4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "098d6f3e25fa0b4c73cccf78d6b64f5d219e47beaa81fc3f0d6c2b6867a9a8dc"
+    },
+    {
+      "bytes": 62785,
+      "path": "data/internal_test/p6e/oproofs-s00002-r00009740-n000004-0000-74f464945655d5af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "74f464945655d5af36d31fb67d2773403d16b168d69c5244221065bbebefecea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009744-n000004.json b/manifests/batches/oproofs/s00002-r00009744-n000004.json
index eb4abd42976b0d56637bf4a90988482028fbf7af..f77342a667c1f2ae2d037602a5cc5829ffd49eb2 100644
--- a/manifests/batches/oproofs/s00002-r00009744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009744-n000004",
   "batch_fingerprint": "b6f1ce5d76b5c152d56dc7e8f7d15a8bdf43e9e78633685928338992df7d63a9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009744-n000004-0000-c955ff36f32e9469.parquet",
-      "sha256": "c955ff36f32e9469462382d5ddd49d9e785e9b5027ab0078e5bfe7a75860e443",
-      "bytes": 193428,
-      "rows": 17,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009744-n000004-0000-da4becec9a119575.parquet",
-      "sha256": "da4becec9a1195750cc31b6108d3eee9d0e5b712b6c2ce9e48c5a35d28eab36a",
-      "bytes": 71348,
-      "rows": 4,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009745.lean\",\"78b14dfe0918ac832a2b2a05adcddf0c53463913590d1fa2ad0e8230997a5fff\",0,\"lean_workbook_plus_24640\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009746.lean\",\"1b701ab54ac508583b560a2f289486886ecd6ace7c49a1b029d2ae9bd4c4940a\",0,\"greatest_prime_factor_five_eight_plus_ten_seven\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009747.lean\",\"5102c40caa419c91534ef8dcbc2812804bd925071b6d8e2c5d07f64bd9f7e300\",0,\"lean_workbook_plus_48480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193428,
+      "path": "data/train/pe9/oproofs-s00002-r00009744-n000004-0000-c955ff36f32e9469.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c955ff36f32e9469462382d5ddd49d9e785e9b5027ab0078e5bfe7a75860e443"
+    },
+    {
+      "bytes": 71348,
+      "path": "data/internal_test/pe9/oproofs-s00002-r00009744-n000004-0000-da4becec9a119575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "da4becec9a1195750cc31b6108d3eee9d0e5b712b6c2ce9e48c5a35d28eab36a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009748-n000004.json b/manifests/batches/oproofs/s00002-r00009748-n000004.json
index 95a84fd3abbc00805ebca9b3550a80260ecff15d..bc579556b62a7991ae03d2051bcc7558b5a7b89a 100644
--- a/manifests/batches/oproofs/s00002-r00009748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009748-n000004",
   "batch_fingerprint": "3f0eed453c2464a1b2d3551f0bc95afd11bbf02dd8d2681ac26cfc28d0c32a94",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009748-n000004-0000-acf11c63c17724e3.parquet",
-      "sha256": "acf11c63c17724e312e2370b432a2dfaab8d97ae54573cc988f56f980aeb645b",
-      "bytes": 173150,
-      "rows": 12,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009748-n000004-0000-e061336ca6301515.parquet",
-      "sha256": "e061336ca630151539173aae29b49a29a442f367ae61b0e482ac7071b2e0b7ce",
-      "bytes": 136612,
-      "rows": 6,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009749.lean\",\"452a56bac21c7e79f1158e4fe3588731d735dccd48e635d3310ac5bb9e41961f\",0,\"lean_workbook_plus_20167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009750.lean\",\"b9156c5a28ceb21df1c161b0b995ac5a6b70159fb547ff32705b025fbe6739d5\",0,\"lean_workbook_plus_63354\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009751.lean\",\"348bcfc163bd3d13d8ea1c556b3b9a79a9d8ec3730c32115b14c83af4a2ba05f\",0,\"lean_workbook_plus_70457\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173150,
+      "path": "data/train/p1b/oproofs-s00002-r00009748-n000004-0000-acf11c63c17724e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "acf11c63c17724e312e2370b432a2dfaab8d97ae54573cc988f56f980aeb645b"
+    },
+    {
+      "bytes": 136612,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00009748-n000004-0000-e061336ca6301515.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e061336ca630151539173aae29b49a29a442f367ae61b0e482ac7071b2e0b7ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009752-n000004.json b/manifests/batches/oproofs/s00002-r00009752-n000004.json
index b1b37db5c0ed68a03e7615bc253e4e57fa2d2b61..89c30e1d82d6b2b3a21759d81dc02bc671856646 100644
--- a/manifests/batches/oproofs/s00002-r00009752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009752-n000004",
   "batch_fingerprint": "e00e5558742b1278dae975db44ac0781adc942e0e687ad2622023f5e876adb12",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009752-n000004-0000-18d59c484808d78e.parquet",
-      "sha256": "18d59c484808d78edeca4c23cc3d74ea233dd68bbb62791abfdb60dc3ccece78",
-      "bytes": 813740,
-      "rows": 25,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9753",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009753.lean\",\"ef3ecdc424b1a1ef5fe6729cf3a2f236a1b21f786d90ebf022bfa0a5c6dfe981\",0,\"lean_workbook_plus_29794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009754.lean\",\"b7c9ecd62c785bc5d7bc8f4fa4d029d3956dc4a0a470e521cd4a06d1667d8f86\",0,\"lean_workbook_plus_20291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009755.lean\",\"9609b2e8a8a759381bc177dc26be7fa15e410b24fdfac7e3f36ef67b85a627f2\",0,\"lean_workbook_plus_20522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 813740,
+      "path": "data/train/ped/oproofs-s00002-r00009752-n000004-0000-18d59c484808d78e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "18d59c484808d78edeca4c23cc3d74ea233dd68bbb62791abfdb60dc3ccece78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009756-n000004.json b/manifests/batches/oproofs/s00002-r00009756-n000004.json
index e2da5a15a947824ffd03046e19468016a90d14a9..ceb23be3f86ee3f239b3f61fd075571d2f186776 100644
--- a/manifests/batches/oproofs/s00002-r00009756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009756-n000004",
   "batch_fingerprint": "15a6fe66007090e6b8a15c6b86dd7f7cc4caf88298f85f28527412fea7339741",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009756-n000004-0000-ea5562c0e3bacd22.parquet",
-      "sha256": "ea5562c0e3bacd22f72bee075585a4a82fe1bba719fe3f1684a3957655f19373",
-      "bytes": 65412,
-      "rows": 7,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009756-n000004-0000-f8f74eb670b2d19c.parquet",
-      "sha256": "f8f74eb670b2d19c68398901005b8281d11c2ba06db39d53f4cb3e51b354255e",
-      "bytes": 161283,
-      "rows": 9,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9757",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009757.lean\",\"4d3d0891cc82e4ee8a7d7ab93d58aaf400be44df16f74eafc47052e832105693\",0,\"lean_workbook_plus_52588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009758.lean\",\"a3d10a2f4ea01abbf6ee2f19466c4a16010b17e9b313dbdead0e2f8ae715131b\",0,\"lean_workbook_plus_8709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009759.lean\",\"e025139e6e122e3e710115237143e1c20bbed99a9743b4c2efb169afd67800cb\",0,\"lean_workbook_plus_63842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 65412,
+      "path": "data/train/pf8/oproofs-s00002-r00009756-n000004-0000-ea5562c0e3bacd22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ea5562c0e3bacd22f72bee075585a4a82fe1bba719fe3f1684a3957655f19373"
+    },
+    {
+      "bytes": 161283,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00009756-n000004-0000-f8f74eb670b2d19c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f8f74eb670b2d19c68398901005b8281d11c2ba06db39d53f4cb3e51b354255e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009760-n000004.json b/manifests/batches/oproofs/s00002-r00009760-n000004.json
index e7852c5319def2a4f88f4075c50a1d334aa1539e..bfedcd888ad55a70c1c976e3d7e8dea96ce65282 100644
--- a/manifests/batches/oproofs/s00002-r00009760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009760-n000004",
   "batch_fingerprint": "62e80a36f5ff6faa6231cb0920978cdcfe8c52cc35399b235ca4c13ed732f3e8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009760-n000004-0000-dee6c992b2bdc2c5.parquet",
-      "sha256": "dee6c992b2bdc2c55c197290e9684507bafad984cf0c8a2bf7e9a164a4179c75",
-      "bytes": 601438,
-      "rows": 24,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009761.lean\",\"59ce844e1891ebc2628e734ea52234cea3b47d51c4e0741d81ef856855d02cd7\",0,\"lean_workbook_plus_14216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009762.lean\",\"99ca2ce3181ca06693f16c7f942d2f47749053454020012175e117dfdae1873c\",0,\"lean_workbook_plus_70896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009763.lean\",\"882c5f1acfdca70a0affddb524cbd116a3de976caf8143e38076eb4cebfdfc12\",0,\"lean_workbook_plus_54020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 601438,
+      "path": "data/train/p10/oproofs-s00002-r00009760-n000004-0000-dee6c992b2bdc2c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "dee6c992b2bdc2c55c197290e9684507bafad984cf0c8a2bf7e9a164a4179c75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009764-n000004.json b/manifests/batches/oproofs/s00002-r00009764-n000004.json
index 78eecc75f645bad93d7c04098066f423362995f9..c32f08d8739b45b53a51eed0350796cc8dbf75be 100644
--- a/manifests/batches/oproofs/s00002-r00009764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009764-n000004",
   "batch_fingerprint": "95ac729e53f3e10cd939fe3a6ab229ab54f90e16a5a9523113f99070b0f0bd74",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009764-n000004-0000-cc75c22575b9d8eb.parquet",
-      "sha256": "cc75c22575b9d8eb3cf9711d4a4c54d1bab5589fe9a02b19899b7c3cd757534e",
-      "bytes": 386030,
-      "rows": 18,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009765.lean\",\"c6dcadd39b1a3669613b8a2fe5857d85efe7e475a7eb5e77798d3b82f11bbcfc\",0,\"lean_workbook_plus_7274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009766.lean\",\"88cae540167137ef39b56e423638511bd07dac14a0ac749b7fd721c9e040e601\",0,\"lean_workbook_plus_17898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009767.lean\",\"ff489a36c471cc99f07a03de7dc1fd9a3ecbe0ccf25f20a54b35fca36ce8a7b6\",0,\"lean_workbook_plus_79971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 386030,
+      "path": "data/train/pab/oproofs-s00002-r00009764-n000004-0000-cc75c22575b9d8eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cc75c22575b9d8eb3cf9711d4a4c54d1bab5589fe9a02b19899b7c3cd757534e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009768-n000004.json b/manifests/batches/oproofs/s00002-r00009768-n000004.json
index 296beaacacf90d322092b69bcf172eb57ee73318..29d58d4f20af96bce7449c9839c26595d879ed34 100644
--- a/manifests/batches/oproofs/s00002-r00009768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009768-n000004",
   "batch_fingerprint": "3cf5c49dcdde5ca330c1c000988fd4f5ffd26c8cff6a69303b400ed3e11db773",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9768",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9769",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9770",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9771"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009768.lean\",\"345e05ba47d9ab5e958f6d59114a2868d9ca611195913bc48fc5eedefd75d4b1\",0,\"lean_workbook_plus_31045\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009769.lean\",\"737bd238ce631603e2e98f5dd192ae2711c5f13cacb696812ba312f64845591e\",0,\"lean_workbook_plus_59421\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009770.lean\",\"498d1b779de537297cb109adeac8a5f48d15c3a025df4758bb529839a3d6c59d\",0,\"lean_workbook_plus_12120\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009771.lean\",\"40d1f11b5e270e390086821bb273066c19324b13f95564ca66fd3eefe48888b1\",0,\"lean_workbook_plus_57738\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009768-n000004-0000-8fa68cec5def0301.parquet",
-      "sha256": "8fa68cec5def0301977b6117324774ef4b269102ae9f6506b8193709ff42ce81",
       "bytes": 230900,
+      "path": "data/train/pe6/oproofs-s00002-r00009768-n000004-0000-8fa68cec5def0301.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "8fa68cec5def0301977b6117324774ef4b269102ae9f6506b8193709ff42ce81"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009768-n000004-0000-17b247a43c459565.parquet",
-      "sha256": "17b247a43c459565c27f44e7a61671fb4d0991deec4c39ac8349c2afb4404e03",
       "bytes": 38570,
+      "path": "data/dev/pe6/oproofs-s00002-r00009768-n000004-0000-17b247a43c459565.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "17b247a43c459565c27f44e7a61671fb4d0991deec4c39ac8349c2afb4404e03"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009768-n000004-0000-2567f74f20e09ca4.parquet",
-      "sha256": "2567f74f20e09ca459852a3e6b33cdc5606e6330ec6bbceaee34c9e83a81acb1",
       "bytes": 116753,
+      "path": "data/internal_test/pe6/oproofs-s00002-r00009768-n000004-0000-2567f74f20e09ca4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "2567f74f20e09ca459852a3e6b33cdc5606e6330ec6bbceaee34c9e83a81acb1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9768",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9769",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9770",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9771"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009768.lean\",\"345e05ba47d9ab5e958f6d59114a2868d9ca611195913bc48fc5eedefd75d4b1\",0,\"lean_workbook_plus_31045\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009769.lean\",\"737bd238ce631603e2e98f5dd192ae2711c5f13cacb696812ba312f64845591e\",0,\"lean_workbook_plus_59421\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009770.lean\",\"498d1b779de537297cb109adeac8a5f48d15c3a025df4758bb529839a3d6c59d\",0,\"lean_workbook_plus_12120\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009771.lean\",\"40d1f11b5e270e390086821bb273066c19324b13f95564ca66fd3eefe48888b1\",0,\"lean_workbook_plus_57738\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009772-n000004.json b/manifests/batches/oproofs/s00002-r00009772-n000004.json
index c07a2b1b244a79fe5dece8ce1907a92af518a22b..6129624ab48a7c69d774c243d73515601c2fe4c3 100644
--- a/manifests/batches/oproofs/s00002-r00009772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009772-n000004",
   "batch_fingerprint": "dca309558f74dacedf254504c9fafbad9f26e3a2c0edf004b19c88a924a4cfe6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009772-n000004-0000-d700d8334bf39045.parquet",
-      "sha256": "d700d8334bf39045db2def4937f7a6b8c95f82ee862e0c30c3974eed13b3609a",
-      "bytes": 517610,
-      "rows": 24,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009773.lean\",\"486bfeb60d56a60a89142ab1b69257bb3407fff6bba82b9a52b17e09fc5fea6b\",0,\"lean_workbook_plus_5019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009774.lean\",\"8f08484f4b5ca6b686e635ddbab630abffc4121e30b0d7b800c8183a8e05e4b6\",0,\"lean_workbook_plus_43833\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009775.lean\",\"ef10d864a5b05fb133189c92b204fee4da3d4baa6836d95260e1e07ef5f7ac4e\",0,\"lean_workbook_plus_13116\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517610,
+      "path": "data/train/p37/oproofs-s00002-r00009772-n000004-0000-d700d8334bf39045.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d700d8334bf39045db2def4937f7a6b8c95f82ee862e0c30c3974eed13b3609a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009776-n000004.json b/manifests/batches/oproofs/s00002-r00009776-n000004.json
index 4e62664674e8fa47af0727fa94d5c6983a4bf0da..2b7dceadf0381f7f5eb557b4e5ff0979e2837fc7 100644
--- a/manifests/batches/oproofs/s00002-r00009776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009776-n000004",
   "batch_fingerprint": "2f9a4091d24c2101aa1e4a9033994dcd39d2f59b043b19d53f9b2455b6836a94",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009776-n000004-0000-eee38d031b8bcefd.parquet",
-      "sha256": "eee38d031b8bcefd46f252f82017156be298b4d4ed449fd0d7c25ad54b30c49c",
-      "bytes": 341880,
-      "rows": 20,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009776-n000004-0000-359c95986adf9525.parquet",
-      "sha256": "359c95986adf952589a60571e21df923076b8ed292a72b8eec24474c0cff8d44",
-      "bytes": 86968,
-      "rows": 6,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009777.lean\",\"8ae70f9b64807e3dfcd6e18a5946ca621e1af4c767cac1f2313a13f8472c1242\",0,\"lean_workbook_plus_35655\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009778.lean\",\"61c9a084782e19776c0e30b44e7b9330b5735b98d4a2e8d9ec27c3bad06865c8\",0,\"lean_workbook_17851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009779.lean\",\"90731838fff13570e4643f255ba5bdd710ff047e59a1409d6a282ba341c05329\",0,\"lean_workbook_plus_74008\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341880,
+      "path": "data/train/p0a/oproofs-s00002-r00009776-n000004-0000-eee38d031b8bcefd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "eee38d031b8bcefd46f252f82017156be298b4d4ed449fd0d7c25ad54b30c49c"
+    },
+    {
+      "bytes": 86968,
+      "path": "data/internal_test/p0a/oproofs-s00002-r00009776-n000004-0000-359c95986adf9525.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "359c95986adf952589a60571e21df923076b8ed292a72b8eec24474c0cff8d44"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009780-n000004.json b/manifests/batches/oproofs/s00002-r00009780-n000004.json
index b54da79bf0ec71e1c6dee86c7f0e6cead6bda1cb..eec12dab0e15de0f16fc84a1d74fa36d7b2af2d4 100644
--- a/manifests/batches/oproofs/s00002-r00009780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009780-n000004",
   "batch_fingerprint": "6efcd653a55e681c39fb3ef5d230dcad3c3131ae68aa5e3b2c2fb3eb21b273d2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9780",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9781",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9782",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9783"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009780.lean\",\"c759be5e7b709a0bf1612c92b4ead569e9b0c9f7e0ee20612cb50e3dd7556cc1\",0,\"lean_workbook_plus_68039\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009781.lean\",\"9844ec705092acc6be4ace96312f059109694d072e3421be5ae17246aa7eae75\",0,\"lean_workbook_plus_22365\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009782.lean\",\"6d81f5e66642bdbcd4ccc7c76b7d8e9bfe8de1f1c4e85c7dceb6bbf0bbb51441\",0,\"vertex_distance\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009783.lean\",\"e4b3dd7d8df40c99cfa5d135e02984598dc3256902222a65f543a694dedb2501\",0,\"lean_workbook_plus_66656\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009780-n000004-0000-b84a0cfecbed2d66.parquet",
-      "sha256": "b84a0cfecbed2d667bd558f42d6f94b25d273200859064a941cd2ee16c0ae24c",
       "bytes": 149501,
+      "path": "data/train/p60/oproofs-s00002-r00009780-n000004-0000-b84a0cfecbed2d66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
+      "sha256": "b84a0cfecbed2d667bd558f42d6f94b25d273200859064a941cd2ee16c0ae24c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00009780-n000004-0001-021fb18b9ca61e08.parquet",
-      "sha256": "021fb18b9ca61e08f8e10943c3c418d3847bb61ecb61f5201b2216b8b6cd1e4e",
       "bytes": 1338360,
+      "path": "data/train/p60/oproofs-s00002-r00009780-n000004-0001-021fb18b9ca61e08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
+      "sha256": "021fb18b9ca61e08f8e10943c3c418d3847bb61ecb61f5201b2216b8b6cd1e4e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009780-n000004-0000-ed49f24dc513979b.parquet",
-      "sha256": "ed49f24dc513979bc7704ed638db83aa1b37e4e8ed0cc1d715dd494ceaffb473",
       "bytes": 50061,
+      "path": "data/dev/p60/oproofs-s00002-r00009780-n000004-0000-ed49f24dc513979b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
+      "sha256": "ed49f24dc513979bc7704ed638db83aa1b37e4e8ed0cc1d715dd494ceaffb473"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9780",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9781",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9782",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9783"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009780.lean\",\"c759be5e7b709a0bf1612c92b4ead569e9b0c9f7e0ee20612cb50e3dd7556cc1\",0,\"lean_workbook_plus_68039\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009781.lean\",\"9844ec705092acc6be4ace96312f059109694d072e3421be5ae17246aa7eae75\",0,\"lean_workbook_plus_22365\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009782.lean\",\"6d81f5e66642bdbcd4ccc7c76b7d8e9bfe8de1f1c4e85c7dceb6bbf0bbb51441\",0,\"vertex_distance\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009783.lean\",\"e4b3dd7d8df40c99cfa5d135e02984598dc3256902222a65f543a694dedb2501\",0,\"lean_workbook_plus_66656\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009784-n000004.json b/manifests/batches/oproofs/s00002-r00009784-n000004.json
index 707f76ed0dc0f801f8dff4a1189c2d2bd99f0f71..c25e025701fffecf658600ffcb3a4de44d79feb2 100644
--- a/manifests/batches/oproofs/s00002-r00009784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009784-n000004",
   "batch_fingerprint": "3d59758d18bdbcc66b8f68d99934dd8043b6a858dd3bc244a86a238e4cef0ea1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009784-n000004-0000-ff2f0b6d297ef559.parquet",
-      "sha256": "ff2f0b6d297ef5599169ab4d7f4e868c4eb3d302afcae8a9043dcdcf1aa15ff6",
-      "bytes": 80494,
-      "rows": 12,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009785.lean\",\"45da1ea37f6a7f07faf194eb071960f469a4156753a079e86aa807a380f0381d\",0,\"lean_workbook_plus_46755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009786.lean\",\"cf04caa854d90e517d3b10e0bc27420120bb001cae30288a88d9b67e571248c8\",0,\"lean_workbook_plus_78523\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009787.lean\",\"f13963eaf98fcc3cc48e398bc98a99aa381c4fedc01bd741cc20c3f1b6e58d16\",0,\"lean_workbook_49613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80494,
+      "path": "data/train/p2f/oproofs-s00002-r00009784-n000004-0000-ff2f0b6d297ef559.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ff2f0b6d297ef5599169ab4d7f4e868c4eb3d302afcae8a9043dcdcf1aa15ff6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009788-n000004.json b/manifests/batches/oproofs/s00002-r00009788-n000004.json
index 8fa28031d78ce0ebb032cd4116f51ca7de1a207e..78cfd3d7a7d78266b98fd63410d3a9d1d1f6c8fe 100644
--- a/manifests/batches/oproofs/s00002-r00009788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009788-n000004",
   "batch_fingerprint": "31e0f4f3c88aab54d411d63598cc187afd8f3a2b273f82b7587292e852d923d7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009788-n000004-0000-18d6292a4e775ba9.parquet",
-      "sha256": "18d6292a4e775ba97c929ddd8431247752c713867a24f7a9a0a44ffbfa108e94",
-      "bytes": 151551,
-      "rows": 12,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009788-n000004-0000-17db6f9d1c5b642f.parquet",
-      "sha256": "17db6f9d1c5b642ff6f58a773f959dc739fbcf7f5aa29b49a090bc84b2f23975",
-      "bytes": 98677,
-      "rows": 2,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9789",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009789.lean\",\"237f0839a03850745c7de424f83ec9079e39973e22b956d5089d2e0f47ba0641\",0,\"lean_workbook_plus_52367\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009790.lean\",\"f230641555a62ddc690c1eeac26b984eebd0133f67fd059a22808d026f333fa1\",0,\"lean_workbook_plus_63963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009791.lean\",\"becea4eb8d69747c1df5ce37e3863206c36f7187ab5a59afacdf5af2739fc23b\",0,\"lean_workbook_plus_10466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151551,
+      "path": "data/train/p30/oproofs-s00002-r00009788-n000004-0000-18d6292a4e775ba9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "18d6292a4e775ba97c929ddd8431247752c713867a24f7a9a0a44ffbfa108e94"
+    },
+    {
+      "bytes": 98677,
+      "path": "data/internal_test/p30/oproofs-s00002-r00009788-n000004-0000-17db6f9d1c5b642f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "17db6f9d1c5b642ff6f58a773f959dc739fbcf7f5aa29b49a090bc84b2f23975"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009792-n000004.json b/manifests/batches/oproofs/s00002-r00009792-n000004.json
index 937cedc842f36879f797f6733f97a878cb07cc10..3b09705e62553b95cf9a3831877acb900fbf4525 100644
--- a/manifests/batches/oproofs/s00002-r00009792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009792-n000004",
   "batch_fingerprint": "4f11747fd3478804bdd4943d4fb7435f5c30a2c0d47e1157500f8402bc85d192",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009792-n000004-0000-cd097330d51a84d0.parquet",
-      "sha256": "cd097330d51a84d0bc26a13ba6c8d04a4c0c3b1fe12e072fbe277835206c9421",
-      "bytes": 545358,
-      "rows": 25,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009793.lean\",\"694488d45c76b80f754a34a0fa193d5383b61ef6761060ad43dc430438e8cf84\",0,\"lean_workbook_34297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009794.lean\",\"412e46503a020c07b8f36a70dec4da516cc63264e2684ecb480abee8648bda7d\",0,\"lean_workbook_plus_48924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009795.lean\",\"b08da9963dfa2b97cabf37ec7ae2cfd2ee12681d1335445b37cd2aeb3af04911\",0,\"lean_workbook_plus_68634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 545358,
+      "path": "data/train/pdb/oproofs-s00002-r00009792-n000004-0000-cd097330d51a84d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "cd097330d51a84d0bc26a13ba6c8d04a4c0c3b1fe12e072fbe277835206c9421"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009796-n000004.json b/manifests/batches/oproofs/s00002-r00009796-n000004.json
index e6fbbfd4974c02b7243a7c31ac5f8a012958c2b1..7080c816147aca61d200e57519dfbf7162be8347 100644
--- a/manifests/batches/oproofs/s00002-r00009796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009796-n000004",
   "batch_fingerprint": "66b0d93ce560492764c600d7b0fc6b5049cf7071bbbccebb41cf887ae7d6ead3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009796-n000004-0000-51a317229e5722b4.parquet",
-      "sha256": "51a317229e5722b46b14c2a20117047e862e27877ca3bc1e05570739220e35cb",
-      "bytes": 162540,
-      "rows": 14,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009797.lean\",\"9ac6fadb6fdc6b2037c3edcf14a66016ee72d2400e69e79284c14e1b4e891726\",0,\"lean_workbook_plus_56575\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009798.lean\",\"8b010f6c9d164554f25ef865e641d0b7ac473403c3c4bf0bc7ca33a56dfcc849\",0,\"lean_workbook_plus_43393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009799.lean\",\"98fb4124d9eb8fee70a681c350cd4185e8a86339dbf035b3205ef3055683b9d7\",0,\"lean_workbook_54687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162540,
+      "path": "data/train/p14/oproofs-s00002-r00009796-n000004-0000-51a317229e5722b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "51a317229e5722b46b14c2a20117047e862e27877ca3bc1e05570739220e35cb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009800-n000004.json b/manifests/batches/oproofs/s00002-r00009800-n000004.json
index 6f8a3b60d3fbf589929f7547f2a16a9f6430df62..afa1a6b1c3c18f9519b683087a8d9445667e7cd7 100644
--- a/manifests/batches/oproofs/s00002-r00009800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009800-n000004",
   "batch_fingerprint": "2214d6fa8137584480f12b9f6122ea62361b10400d366b389e98d08d46cba0ac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009800-n000004-0000-e844ade04de3dd70.parquet",
-      "sha256": "e844ade04de3dd70f1bde4831c5b6c7083ddd6fadbaa6efb0d19054d82d9ec10",
-      "bytes": 238856,
-      "rows": 19,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009801.lean\",\"662d1267413d0b753ea1bc252fb407f91a6efde0c9e2cf65445e8a89bdb32fbc\",0,\"lean_workbook_plus_39686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009802.lean\",\"e1492bc36b48cd831e1fd02ded0dd1e9da611f6c89a686f3f04d28ef563f0887\",0,\"lean_workbook_plus_28600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009803.lean\",\"83fcab4f45fd626d84c66413bbd1abf7a2ecb9e93815a56d9b13811472e1b9c4\",0,\"lean_workbook_plus_67599\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238856,
+      "path": "data/train/p9e/oproofs-s00002-r00009800-n000004-0000-e844ade04de3dd70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e844ade04de3dd70f1bde4831c5b6c7083ddd6fadbaa6efb0d19054d82d9ec10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009804-n000004.json b/manifests/batches/oproofs/s00002-r00009804-n000004.json
index 0dab992c6c56bea876fdce52590e30c42ac36d6a..89ebd16a1d42e570a2a213ca99fef97f58951311 100644
--- a/manifests/batches/oproofs/s00002-r00009804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009804-n000004",
   "batch_fingerprint": "e53e3a3678804f579ee6513f4ae8362be7928fd45d1d98dac84c52cd4734b687",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009804-n000004-0000-612211fba08d3410.parquet",
-      "sha256": "612211fba08d3410d8588f47689aa76632cd7ee5993a0de9f6a51f20cad5f097",
-      "bytes": 1016121,
-      "rows": 18,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009804-n000004-0000-c72e694c971a6aad.parquet",
-      "sha256": "c72e694c971a6aad840fbede969da8bc99c8056eca09744e927a4d277cd1f29c",
-      "bytes": 53865,
-      "rows": 3,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9805",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009805.lean\",\"2c6d0ded99e00f7dfe64e6a93af48901ef61614beb68b1e4451a4cf43c6fbd52\",0,\"lean_workbook_plus_80062\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009806.lean\",\"8d9266fae4d3300303c4aa2f3010a6847f585abb99ea9b8cae366faab9ce979e\",0,\"lean_workbook_plus_65146\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009807.lean\",\"0f31518853867513c4c4d2125babbb8f6ed2942bc6443e63382c5dc7581c02d6\",0,\"lean_workbook_21123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1016121,
+      "path": "data/train/p81/oproofs-s00002-r00009804-n000004-0000-612211fba08d3410.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "612211fba08d3410d8588f47689aa76632cd7ee5993a0de9f6a51f20cad5f097"
+    },
+    {
+      "bytes": 53865,
+      "path": "data/dev/p81/oproofs-s00002-r00009804-n000004-0000-c72e694c971a6aad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c72e694c971a6aad840fbede969da8bc99c8056eca09744e927a4d277cd1f29c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009808-n000004.json b/manifests/batches/oproofs/s00002-r00009808-n000004.json
index 28a1067f77340c02ca27585ad20c7e94c8fb7a3b..afe91d7598abf306459949ef5103d2b1b18b3403 100644
--- a/manifests/batches/oproofs/s00002-r00009808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009808-n000004",
   "batch_fingerprint": "17bd1fbd46d44700fe682ea52ef369e766d80335f4e1706bab4304b30fcf406c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009808-n000004-0000-5ca3eed49576e52a.parquet",
-      "sha256": "5ca3eed49576e52a214d8143be42a1eb45a7ebad08a3d9b8f69515bd03b1a81f",
-      "bytes": 149205,
-      "rows": 16,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009809.lean\",\"df0d30719e20927d061502c85c79157f56e48c56ca08b5239f06fac0c55f97dd\",0,\"lean_workbook_plus_13954\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009810.lean\",\"40eaf9daae67d25828297907b768d5de886dc43514999d7f1cabe670365924ba\",0,\"lean_workbook_plus_23267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009811.lean\",\"0afa4b1a71bd81ea5dbd1427ae956becdbb12480d82ec61a52af3b7a119ddf91\",0,\"lean_workbook_plus_53529\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149205,
+      "path": "data/train/pe4/oproofs-s00002-r00009808-n000004-0000-5ca3eed49576e52a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5ca3eed49576e52a214d8143be42a1eb45a7ebad08a3d9b8f69515bd03b1a81f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009812-n000004.json b/manifests/batches/oproofs/s00002-r00009812-n000004.json
index 8349e9916d16a93f396938c2f1d33e1152c5d5a8..e60effc10171bd2f2aeb71e4d2a43b0a5eb7ee81 100644
--- a/manifests/batches/oproofs/s00002-r00009812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009812-n000004",
   "batch_fingerprint": "1074364d4948ea8adcccc4741421c1a63f610205f4167bedcded6a13433e28ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009812-n000004-0000-37ac119641074dce.parquet",
-      "sha256": "37ac119641074dcec3b74bce96bb302270337650900da7d116aa0037a358c65d",
-      "bytes": 280005,
-      "rows": 16,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009812-n000004-0000-983802da7ec33b70.parquet",
-      "sha256": "983802da7ec33b70e5b2939fee59f5b79c3c5ee86033c7484094d961816a2ae4",
-      "bytes": 68995,
-      "rows": 5,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009813.lean\",\"785c6f5f6b2d301d2d35557b88935dceef11e6405cc9076b461bb413879615e9\",0,\"lean_workbook_plus_58916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009814.lean\",\"ba7b5d56016b084084133a4e3422d4605230b37917c2f75460fd0420230acfab\",0,\"lean_workbook_plus_57949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009815.lean\",\"e3b6f5b5d1defbe02bcfb5cbbdfc68887033f9835299c99e962a25df61daacb9\",0,\"lean_workbook_plus_28173\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280005,
+      "path": "data/train/p8d/oproofs-s00002-r00009812-n000004-0000-37ac119641074dce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "37ac119641074dcec3b74bce96bb302270337650900da7d116aa0037a358c65d"
+    },
+    {
+      "bytes": 68995,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00009812-n000004-0000-983802da7ec33b70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "983802da7ec33b70e5b2939fee59f5b79c3c5ee86033c7484094d961816a2ae4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009816-n000004.json b/manifests/batches/oproofs/s00002-r00009816-n000004.json
index 10dde86d30aeefdae9bd5bd69c40366a5868632d..4f3849c18b8b655b30bccc379854f9a9f96d75aa 100644
--- a/manifests/batches/oproofs/s00002-r00009816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009816-n000004",
   "batch_fingerprint": "b5d0305f076af6267dcdaf3ef284f31528a7d415ff00abd2bbbfb9556b144b0f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9816",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9817",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9818",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9819"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009816.lean\",\"883da82a5f1a442cc7e199ab010d9fdc3232a62afa96dde376cc3ef8506399cf\",0,\"lean_workbook_55081\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009817.lean\",\"291ec6a6e02bbdb3bccb5219799f31dfb7e56aa768d30451b8a060efe86618b6\",0,\"lean_workbook_plus_17274\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009818.lean\",\"4b62ad40d6b37de84da7d552cbe2e63b893d8d63281f0a27301a5d541113082f\",0,\"lean_workbook_29310\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009819.lean\",\"ce22e85768bcf4888eee6778c8f13ac11a6da7b264eeaa8b081bf460e2893f70\",0,\"lean_workbook_plus_38229\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009816-n000004-0000-58c2044983bf68dd.parquet",
-      "sha256": "58c2044983bf68ddb60dcde635472974a2a88a534633170809ccdf96bbc8620b",
       "bytes": 86426,
+      "path": "data/train/pe9/oproofs-s00002-r00009816-n000004-0000-58c2044983bf68dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "58c2044983bf68ddb60dcde635472974a2a88a534633170809ccdf96bbc8620b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009816-n000004-0000-418cebc633baa605.parquet",
-      "sha256": "418cebc633baa6058ee0f39532dbbd9c92901cc7867cca6a036afbf6bbf22974",
       "bytes": 115083,
+      "path": "data/dev/pe9/oproofs-s00002-r00009816-n000004-0000-418cebc633baa605.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "418cebc633baa6058ee0f39532dbbd9c92901cc7867cca6a036afbf6bbf22974"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009816-n000004-0000-65993fdf1ebd0898.parquet",
-      "sha256": "65993fdf1ebd0898dedda07e6b19ffbe89456e1611bd24aed608e14b25b9b28a",
       "bytes": 65333,
+      "path": "data/internal_test/pe9/oproofs-s00002-r00009816-n000004-0000-65993fdf1ebd0898.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "65993fdf1ebd0898dedda07e6b19ffbe89456e1611bd24aed608e14b25b9b28a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9816",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9817",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9818",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9819"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009816.lean\",\"883da82a5f1a442cc7e199ab010d9fdc3232a62afa96dde376cc3ef8506399cf\",0,\"lean_workbook_55081\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009817.lean\",\"291ec6a6e02bbdb3bccb5219799f31dfb7e56aa768d30451b8a060efe86618b6\",0,\"lean_workbook_plus_17274\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009818.lean\",\"4b62ad40d6b37de84da7d552cbe2e63b893d8d63281f0a27301a5d541113082f\",0,\"lean_workbook_29310\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009819.lean\",\"ce22e85768bcf4888eee6778c8f13ac11a6da7b264eeaa8b081bf460e2893f70\",0,\"lean_workbook_plus_38229\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009820-n000004.json b/manifests/batches/oproofs/s00002-r00009820-n000004.json
index a53b9649f4f2fc1b74cada5f3942441c9b539951..7eef1b37fa5e7914b8de6776531cfbecbbaa869a 100644
--- a/manifests/batches/oproofs/s00002-r00009820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009820-n000004",
   "batch_fingerprint": "a7caa71f03666d715446014eaf03ddc6a3430c5d8970f6eccced8341fc457eae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009820-n000004-0000-92d9de04fdfacdf4.parquet",
-      "sha256": "92d9de04fdfacdf47f02739a8efedf98dc0cabf1585817a170502cc26e2382db",
-      "bytes": 565617,
-      "rows": 20,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009821.lean\",\"bf527d130927a39709c953cf86e215cb801294db7be75bce7d81664cef515179\",0,\"lean_workbook_plus_50959\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009822.lean\",\"e3e2acd48410a9b0c22753275a5ae1534a4f0a668fa6e18f5a7e3cfc87a27b60\",0,\"lean_workbook_plus_77794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009823.lean\",\"bd9fc431482ce2c5901ac2688612659949835bfa03c6bcdbe5359ac047189669\",0,\"lean_workbook_plus_24640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 565617,
+      "path": "data/train/p23/oproofs-s00002-r00009820-n000004-0000-92d9de04fdfacdf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "92d9de04fdfacdf47f02739a8efedf98dc0cabf1585817a170502cc26e2382db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009824-n000004.json b/manifests/batches/oproofs/s00002-r00009824-n000004.json
index d86b0fcc17135bac1a7c92c9a70ff83d1b696d43..72d7fe1fa267eedb7daef1dab94d6ea9bb1806b7 100644
--- a/manifests/batches/oproofs/s00002-r00009824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009824-n000004",
   "batch_fingerprint": "67b487e0273e3b9b6677e6d1a4c9f3dfb0034b6b442b54411e04c2e9fbdf3134",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009824-n000004-0000-779a674c56308995.parquet",
-      "sha256": "779a674c5630899544eae0cc00504cc44a0dce553c2a0f64638574721cddbdde",
-      "bytes": 83851,
-      "rows": 7,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009824-n000004-0000-a2dec0b2b9499fdb.parquet",
-      "sha256": "a2dec0b2b9499fdbbe16900b70c807bb1b9c061bb63dee216f1f8a757336b276",
-      "bytes": 711648,
-      "rows": 20,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009825.lean\",\"6157266dafb5e586f18ea71c77dd2e0be00f02655cde3a4342c9f52eb3ae457d\",0,\"lean_workbook_plus_48480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009826.lean\",\"f8e0b64ecebc6d3e43ec36500ea66266a7e350be1a11c81a1743a7ca2e670129\",0,\"lean_workbook_plus_29794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009827.lean\",\"896c92837b8f52ef683cdf18f39e22b09f0a4b228ff1ea9593c1dc3f6df0a25d\",0,\"lean_workbook_plus_20167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83851,
+      "path": "data/train/p6f/oproofs-s00002-r00009824-n000004-0000-779a674c56308995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "779a674c5630899544eae0cc00504cc44a0dce553c2a0f64638574721cddbdde"
+    },
+    {
+      "bytes": 711648,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00009824-n000004-0000-a2dec0b2b9499fdb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a2dec0b2b9499fdbbe16900b70c807bb1b9c061bb63dee216f1f8a757336b276"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009828-n000004.json b/manifests/batches/oproofs/s00002-r00009828-n000004.json
index 4176e730165ba981f14d1b04b6a773137629b221..76b7592802797bf16549eabc62a4b35e87e9b776 100644
--- a/manifests/batches/oproofs/s00002-r00009828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009828-n000004",
   "batch_fingerprint": "b07268557235575c12cfd31b3a6bcd66df39facc3f9eb5ac96a671757e478cb7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009828-n000004-0000-83f2e1a51c0fbc7c.parquet",
-      "sha256": "83f2e1a51c0fbc7c826e466d6489a248353e2df1f8f27bfb3efa40758ee43784",
-      "bytes": 543599,
-      "rows": 17,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009828-n000004-0000-ef9a064c0244f62f.parquet",
-      "sha256": "ef9a064c0244f62f58b42043e861dd1b536342e2bb5ab6a6684f8748e116db3a",
-      "bytes": 39621,
-      "rows": 2,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009829.lean\",\"a7096cb8a0825a1a26c403384ea45bd58e7ab710745cfff168fa44693d2a8b60\",0,\"lean_workbook_plus_52588\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009830.lean\",\"d693832436f55b95889c3c85dcde60fd618fe00f396541205281df7b6703d231\",0,\"lean_workbook_plus_8709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009831.lean\",\"2f19a443a4f5d95e88edb8765e54aaaad0b290c905407b4e776f6b16ef1c428c\",0,\"lean_workbook_plus_26085\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543599,
+      "path": "data/train/pa0/oproofs-s00002-r00009828-n000004-0000-83f2e1a51c0fbc7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "83f2e1a51c0fbc7c826e466d6489a248353e2df1f8f27bfb3efa40758ee43784"
+    },
+    {
+      "bytes": 39621,
+      "path": "data/internal_test/pa0/oproofs-s00002-r00009828-n000004-0000-ef9a064c0244f62f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ef9a064c0244f62f58b42043e861dd1b536342e2bb5ab6a6684f8748e116db3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009832-n000004.json b/manifests/batches/oproofs/s00002-r00009832-n000004.json
index a5249e784c22dad64b6b5131db2d64085d15100c..24bb0dd376f6cfdff4a3a4f70a42558fa8077a21 100644
--- a/manifests/batches/oproofs/s00002-r00009832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009832-n000004",
   "batch_fingerprint": "3dd9aa851a2364a5cb30d943eb87c235bdd840081c58a0460c9e2b830e205675",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009832-n000004-0000-2e12906ab113e56b.parquet",
-      "sha256": "2e12906ab113e56b5b5c0342e8c120bd1aca650ef3b5a06f910d9c18e2760ff6",
-      "bytes": 588769,
-      "rows": 25,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009833.lean\",\"d5c7b67ca3c26f9edb868a24873cd7b27b0883ae17ee14292df606785bab307e\",0,\"lean_workbook_plus_20291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009834.lean\",\"436d5d818a21a7ac706bd0c520518816398122f1c3bcd7f4989f2fdcca230ec1\",0,\"lean_workbook_plus_49157\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009835.lean\",\"b9b5fad6f1e181b2509a01d38c31c41eedc85d0d747178cf45d5e028f769ce2b\",0,\"lean_workbook_plus_70896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 588769,
+      "path": "data/train/p55/oproofs-s00002-r00009832-n000004-0000-2e12906ab113e56b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "2e12906ab113e56b5b5c0342e8c120bd1aca650ef3b5a06f910d9c18e2760ff6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009836-n000004.json b/manifests/batches/oproofs/s00002-r00009836-n000004.json
index 5e51fa3cfc4110d98c1bcc519f6985454f7635ac..4dd0b2299f50ba6cadd955275438aae13bc2f77a 100644
--- a/manifests/batches/oproofs/s00002-r00009836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009836-n000004",
   "batch_fingerprint": "80a89695d41015ca37b61e9489372ced4471d44b5b95371aa5cf58ee624eb65b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9836",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9837",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9838",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9839"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009836.lean\",\"b38f597c83523868c3360a45c1e541dde05f909d438666c1de78a30ed96ed199\",0,\"lean_workbook_plus_52118\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009837.lean\",\"71562672f1e28a8f75640b26fdbfcc0dd3580d40d0a797d51e479a7fd90b2816\",0,\"lean_workbook_plus_17898\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009838.lean\",\"501b3f2d63d41b4e3d066e91db410c9d3382e8988515fad3fff42a5b6121b1f4\",0,\"lean_workbook_plus_40190\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009839.lean\",\"1965e777e89ec9dcafca51911fe95cb74d84084c7116004291d7758c0b7ee982\",0,\"lean_workbook_plus_31045\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009836-n000004-0000-68966ea0f37bd336.parquet",
-      "sha256": "68966ea0f37bd3363d29b3f0d6db1fa96efbfc8917de56fcb957b994044a8532",
       "bytes": 142244,
+      "path": "data/train/p64/oproofs-s00002-r00009836-n000004-0000-68966ea0f37bd336.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "68966ea0f37bd3363d29b3f0d6db1fa96efbfc8917de56fcb957b994044a8532"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009836-n000004-0000-749e550c54c303de.parquet",
-      "sha256": "749e550c54c303de62f8943ac9d90f488157375d42eecc705052f70391876366",
       "bytes": 38386,
+      "path": "data/dev/p64/oproofs-s00002-r00009836-n000004-0000-749e550c54c303de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "749e550c54c303de62f8943ac9d90f488157375d42eecc705052f70391876366"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009836-n000004-0000-e8384a0d29fe7cf3.parquet",
-      "sha256": "e8384a0d29fe7cf352ced2f6ff9f523f18aa67fe9ae100f32515535ca1c4c14b",
       "bytes": 135570,
+      "path": "data/internal_test/p64/oproofs-s00002-r00009836-n000004-0000-e8384a0d29fe7cf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
+      "sha256": "e8384a0d29fe7cf352ced2f6ff9f523f18aa67fe9ae100f32515535ca1c4c14b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9836",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9837",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9838",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9839"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009836.lean\",\"b38f597c83523868c3360a45c1e541dde05f909d438666c1de78a30ed96ed199\",0,\"lean_workbook_plus_52118\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009837.lean\",\"71562672f1e28a8f75640b26fdbfcc0dd3580d40d0a797d51e479a7fd90b2816\",0,\"lean_workbook_plus_17898\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009838.lean\",\"501b3f2d63d41b4e3d066e91db410c9d3382e8988515fad3fff42a5b6121b1f4\",0,\"lean_workbook_plus_40190\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009839.lean\",\"1965e777e89ec9dcafca51911fe95cb74d84084c7116004291d7758c0b7ee982\",0,\"lean_workbook_plus_31045\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009840-n000004.json b/manifests/batches/oproofs/s00002-r00009840-n000004.json
index 5eee8f326cb182711aeec1021db5a821c0356978..fa91ca4dc6cc92ff33fb5399920068e9d2517900 100644
--- a/manifests/batches/oproofs/s00002-r00009840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009840-n000004",
   "batch_fingerprint": "113465c5f034a8c50a4a007c3468bb4fb3e1d02ce8ab69c360e4a4de8519c6a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009840-n000004-0000-8f4c5c083067b64d.parquet",
-      "sha256": "8f4c5c083067b64dbbb0c109a05cbcac799338369804235c2e6474df65055774",
-      "bytes": 742812,
-      "rows": 12,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009840-n000004-0000-415e98a641df9c99.parquet",
-      "sha256": "415e98a641df9c99a1fb1f4542f9c73c158f76361f9a3409fc7e933f1ef32eb6",
-      "bytes": 201993,
-      "rows": 9,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9841",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009841.lean\",\"b21b349e2b75f81343dc4c7a065ab8c11e18d6cbfa726d01bbe1959b42d76d06\",0,\"lean_workbook_plus_14216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009842.lean\",\"520dfe94fc17a1db40e488c24d02e9364665df9f14c994c086c3645d946ff180\",0,\"lean_workbook_plus_12120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009843.lean\",\"9eaf5ec7dc63e930544817bf7c374a644ffd7db5fb87c4200fa82a8118d3b860\",0,\"lean_workbook_plus_59421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 742812,
+      "path": "data/train/p6e/oproofs-s00002-r00009840-n000004-0000-8f4c5c083067b64d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8f4c5c083067b64dbbb0c109a05cbcac799338369804235c2e6474df65055774"
+    },
+    {
+      "bytes": 201993,
+      "path": "data/internal_test/p6e/oproofs-s00002-r00009840-n000004-0000-415e98a641df9c99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "415e98a641df9c99a1fb1f4542f9c73c158f76361f9a3409fc7e933f1ef32eb6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009844-n000004.json b/manifests/batches/oproofs/s00002-r00009844-n000004.json
index edc85902abbf4d324bbecfee9d238f34b5e82f40..727178d6950bb1ca57250472b0801dafa90043a4 100644
--- a/manifests/batches/oproofs/s00002-r00009844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009844-n000004",
   "batch_fingerprint": "682224fa2050342ede8fbfbe979733df1ea9c3bdafcaa6eed1b330cdecbe9037",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009844-n000004-0000-14acd2daf306c6fa.parquet",
-      "sha256": "14acd2daf306c6fa34440383cd945b533d0c35a4cfd85a0112753450c0731a17",
-      "bytes": 442596,
-      "rows": 8,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009844-n000004-0000-e53d81cf96653bda.parquet",
-      "sha256": "e53d81cf96653bda0e62cc824014b5058aee4407fe44fb97a69025cbb3d3862f",
-      "bytes": 132647,
-      "rows": 8,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009845.lean\",\"6194e561d5f675df22d6e7d57f8221231787c9cf357e422bda1c8f4bf2d02d91\",0,\"lean_workbook_plus_13116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009846.lean\",\"0a808738fd116d057543e230d994602822f018132e512b5ff92a05c367b5a599\",0,\"lean_workbook_2490\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009847.lean\",\"481d510c80d9e7b34cdfd3f798e0cf35e149b4f9b4fead374758e28f7c16ad2d\",0,\"lean_workbook_plus_35655\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 442596,
+      "path": "data/train/pf7/oproofs-s00002-r00009844-n000004-0000-14acd2daf306c6fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "14acd2daf306c6fa34440383cd945b533d0c35a4cfd85a0112753450c0731a17"
+    },
+    {
+      "bytes": 132647,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00009844-n000004-0000-e53d81cf96653bda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e53d81cf96653bda0e62cc824014b5058aee4407fe44fb97a69025cbb3d3862f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009848-n000004.json b/manifests/batches/oproofs/s00002-r00009848-n000004.json
index db549dcc011a064dacd283f21dcf11ae1edd6925..670b651737a69e0f3d633a5084c793a50085b2b3 100644
--- a/manifests/batches/oproofs/s00002-r00009848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009848-n000004",
   "batch_fingerprint": "2d4789fa2bba2a6ac6b08d132eeefa22b6a10f6b93582f9869a726ccfa4bc630",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009848-n000004-0000-1d6140357d033c18.parquet",
-      "sha256": "1d6140357d033c180f1ab79631656c87ecc490ba4444f596ec8189b9ef6d21ef",
-      "bytes": 765606,
-      "rows": 17,
-      "revision": "9db57388330765c2d2f64fcd824a2fe0b3cba42a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009849.lean\",\"45ecd5e8e56c268e74a4d86ea66315552695b49b77c556225cb1291191832583\",0,\"lean_workbook_plus_5019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009850.lean\",\"b0e676c0738d52786a758505c0cba12054269958290deb297aca6b2610c10708\",0,\"lean_workbook_17851\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009851.lean\",\"23fce67382ca930be07231934532540cd135c57442ee7a6817cbe0927652ad0d\",0,\"lean_workbook_plus_68039\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 765606,
+      "path": "data/train/p54/oproofs-s00002-r00009848-n000004-0000-1d6140357d033c18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1d6140357d033c180f1ab79631656c87ecc490ba4444f596ec8189b9ef6d21ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009852-n000004.json b/manifests/batches/oproofs/s00002-r00009852-n000004.json
index 53d8423195217b02358bee85bbad0c9bd24baffd..3e456976b099cd891f126ad94a0f11b7a43abcbb 100644
--- a/manifests/batches/oproofs/s00002-r00009852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009852-n000004",
   "batch_fingerprint": "ea7c6261571d329c8c0922f02e3465cd9f7ee57f24c90647f0e097de1a4caa90",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009852-n000004-0000-f04b090a7718af3c.parquet",
-      "sha256": "f04b090a7718af3ce0d66ebe44babf166881d26cdd667799ba35d1b6397916d2",
-      "bytes": 161345,
-      "rows": 17,
-      "revision": "ee114727a55c0251d6802a214de1b94b79b92058"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9853",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009853.lean\",\"04229da5dd5e9ece81d652aec6e2000f6af3ce337a0e3f566a32d4e5ad06ca71\",0,\"lean_workbook_23997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009854.lean\",\"439ee10118237c947900a63203df2cea2e781e327ad2604e2058221c85c39b15\",0,\"lean_workbook_plus_28859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009855.lean\",\"4f99a8c3790537903a59efa20529008abcc332ef02cf1f1ca1d12caf9f295fef\",0,\"lean_workbook_plus_46755\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161345,
+      "path": "data/train/p7d/oproofs-s00002-r00009852-n000004-0000-f04b090a7718af3c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f04b090a7718af3ce0d66ebe44babf166881d26cdd667799ba35d1b6397916d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009856-n000004.json b/manifests/batches/oproofs/s00002-r00009856-n000004.json
index b717feca0914d11b9e16c6d14cc07875dcf2e993..2b45b1217ab787b17112f4b140fd8843e769573e 100644
--- a/manifests/batches/oproofs/s00002-r00009856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009856-n000004",
   "batch_fingerprint": "120f1d7110197bc667e3d2186cd492b11c80f50b97df522f3ebb4a192eda6d8d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009856-n000004-0000-e4e63bad0b58805a.parquet",
-      "sha256": "e4e63bad0b58805ab7226a6ca5d1b4f0365fa812e5650b6957ffaa4a14c6bf36",
-      "bytes": 177558,
-      "rows": 14,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009857.lean\",\"da6c553647eae3d8c7c91d4e5da8fd4eb96e4b686f54419f07e8915a9bdceb6a\",0,\"lean_workbook_48333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009858.lean\",\"593f7f474af3c3ad58ca29a444419aa6ffeae664fe00cc1bfc32b69d61b9ffe9\",0,\"lean_workbook_49613\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009859.lean\",\"3e5307b46807d82d4d71f8ba824ff19ee487a5299c39281a98a9c56d2ef9a9fe\",0,\"lean_workbook_plus_6682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177558,
+      "path": "data/train/p20/oproofs-s00002-r00009856-n000004-0000-e4e63bad0b58805a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "e4e63bad0b58805ab7226a6ca5d1b4f0365fa812e5650b6957ffaa4a14c6bf36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009860-n000004.json b/manifests/batches/oproofs/s00002-r00009860-n000004.json
index 0bca06aed23af52c6ec5f202365fd567d54b8903..7459a875a1408e08f79c892a5483cfe423cf2771 100644
--- a/manifests/batches/oproofs/s00002-r00009860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009860-n000004",
   "batch_fingerprint": "1a4c367f3395937289cff396a597ef3704c0a283b8756aff97000ae9f5988ee0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009860-n000004-0000-ae4282b6a84b076b.parquet",
-      "sha256": "ae4282b6a84b076b8350cce1421aeebdadd820f5c8da0ee90bd5143bac0b956b",
-      "bytes": 179187,
-      "rows": 16,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009860-n000004-0000-7bf026b5a16ddb85.parquet",
-      "sha256": "7bf026b5a16ddb85528369849dba03dc032088133d0a3090ec9e348822b3e256",
-      "bytes": 87726,
-      "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009861.lean\",\"0d258c99620f8154e92e84c0784df5c54b1de4fd22ecd0f20c2c2307dcb93596\",0,\"lean_workbook_plus_66656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009862.lean\",\"fc42c9a5cb0d98492f89a6c25f252c81c669d95ac6412e1a4b4c6989b07e9739\",0,\"lean_workbook_45552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009863.lean\",\"dea8d645bf5e2b26142bac0260c072f589893de46947538a2e5111722627e5ef\",0,\"lean_workbook_plus_48924\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179187,
+      "path": "data/train/pe3/oproofs-s00002-r00009860-n000004-0000-ae4282b6a84b076b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ae4282b6a84b076b8350cce1421aeebdadd820f5c8da0ee90bd5143bac0b956b"
+    },
+    {
+      "bytes": 87726,
+      "path": "data/internal_test/pe3/oproofs-s00002-r00009860-n000004-0000-7bf026b5a16ddb85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7bf026b5a16ddb85528369849dba03dc032088133d0a3090ec9e348822b3e256"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009864-n000004.json b/manifests/batches/oproofs/s00002-r00009864-n000004.json
index 82b5a370af2021ab4bf5cae723725248687e3f4b..c8b11bcc363cc1165b2842441a03a880363b47ff 100644
--- a/manifests/batches/oproofs/s00002-r00009864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009864-n000004",
   "batch_fingerprint": "96a425979ce9c7a8a7f0f08a9a77827bcb6086242070c3a275e8297971f85a0f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009864-n000004-0000-dd7595cfd2531937.parquet",
-      "sha256": "dd7595cfd2531937e225877b3c0ecb630d9746f9bdb06f7e72e19d580f895eb6",
-      "bytes": 130363,
-      "rows": 9,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009864-n000004-0000-c0b22e9b056bd843.parquet",
-      "sha256": "c0b22e9b056bd843a4ef8a1d3e8778259f58746fe8a037a552be03e798208908",
-      "bytes": 319833,
-      "rows": 6,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009865.lean\",\"4a01bd7809984da03a22c84d49265abc2aa94858afd69ff9ab806d3c71a7a196\",0,\"lean_workbook_51268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009866.lean\",\"fc4adae6da5ab9e88a3e99d82ed1ee8d43ddd681954c10a72d7e34d7eaabc6b7\",0,\"picnic_cost_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009867.lean\",\"82f0070a3698665f10df80a887f494ff57d376daebed75486db0a8ae9f1a0f22\",0,\"lean_workbook_plus_75370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 130363,
+      "path": "data/train/p0b/oproofs-s00002-r00009864-n000004-0000-dd7595cfd2531937.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dd7595cfd2531937e225877b3c0ecb630d9746f9bdb06f7e72e19d580f895eb6"
+    },
+    {
+      "bytes": 319833,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00009864-n000004-0000-c0b22e9b056bd843.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c0b22e9b056bd843a4ef8a1d3e8778259f58746fe8a037a552be03e798208908"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009868-n000004.json b/manifests/batches/oproofs/s00002-r00009868-n000004.json
index 409a0edc126bbe0a92515ad61738a2652b323ed3..6378342df094a52e0838b18792387d88714a2fcc 100644
--- a/manifests/batches/oproofs/s00002-r00009868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009868-n000004",
   "batch_fingerprint": "c9923585f7b88595249d16367c023dc072cecd2c066c1d71d8fdb0d1c5b89667",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009868-n000004-0000-9076d0921f493cf7.parquet",
-      "sha256": "9076d0921f493cf722b9dcda7869b198d8019e3e97bd920bd9259720104cb6a7",
-      "bytes": 560939,
-      "rows": 17,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009869.lean\",\"ba442e0111edab8b894d4c459748ac2c0ef2373601cee06ad55d643de0ca6b66\",0,\"lean_workbook_plus_56575\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009870.lean\",\"669a39412c386c772dfc1436f303cdbd043c77443422c7c3ed290276969a369a\",0,\"lean_workbook_plus_43393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009871.lean\",\"2286876ba327abb002b8f3c717404c99c9f479a651eef770b518f1120b094dca\",0,\"lean_workbook_54687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 560939,
+      "path": "data/train/p20/oproofs-s00002-r00009868-n000004-0000-9076d0921f493cf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9076d0921f493cf722b9dcda7869b198d8019e3e97bd920bd9259720104cb6a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009872-n000004.json b/manifests/batches/oproofs/s00002-r00009872-n000004.json
index 1dd2afd429659275ebba07dfdecb6073b2976305..28a21307e24befcf5083af671946d1865a80dabd 100644
--- a/manifests/batches/oproofs/s00002-r00009872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009872-n000004",
   "batch_fingerprint": "aff7a0bc871ac4d50686e58fc6f0a3b2cc626fef6cf447c063db5631906f1166",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009872-n000004-0000-b7dafe8b4575edf9.parquet",
-      "sha256": "b7dafe8b4575edf96c803e3a5a51200d95feff048525f6c9236b38f7f9f57ad2",
-      "bytes": 271723,
-      "rows": 26,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009873.lean\",\"31f5487e635b57633483793a1063fe1ef7a6680a61bf367c6119a6c5478c94c2\",0,\"lean_workbook_plus_39686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009874.lean\",\"0fb90350d6c9ba83aef2e456dd3d5b4a330c52e33d5e59816e372cd0318cabbf\",0,\"lean_workbook_plus_28600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009875.lean\",\"28cb4214698dad492deace4ff8073418d4e61721116583edaa9f8904eba0927e\",0,\"office_employees_count\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271723,
+      "path": "data/train/p0a/oproofs-s00002-r00009872-n000004-0000-b7dafe8b4575edf9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b7dafe8b4575edf96c803e3a5a51200d95feff048525f6c9236b38f7f9f57ad2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009876-n000004.json b/manifests/batches/oproofs/s00002-r00009876-n000004.json
index fc02e211936ccd6ee08b004a5a6904d108b0402f..44d242a3d657ac6fcf5683db7f55e0a827a1299f 100644
--- a/manifests/batches/oproofs/s00002-r00009876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009876-n000004",
   "batch_fingerprint": "73c3497203f63ca6b838c255ac43a733802afcaac74b9ef2208c5efcd7ee27b2",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009876-n000004-0000-3b40458eec225973.parquet",
-      "sha256": "3b40458eec225973593a9becf6881c51859011b2cc8f1e72671e38d8ae5274f3",
-      "bytes": 295941,
-      "rows": 21,
-      "revision": "056ad3b7eb618794aa07063e91dc5e013a50f9e2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9877",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009876.lean\",\"d8543cb8247f2dcfd80e6d408e02459d03bbe2d9b6c25bdc1f2a35a21b67124c\",0,\"lean_workbook_plus_67599\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009877.lean\",\"7a111c56a11dd599ca4053b66a6db42869e498d4c7f5b99c1d5741c85142b89a\",0,\"lean_workbook_plus_43184\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009878.lean\",\"583aa0d514263578d05f6f45124054a9e5e2335f109fe5fa9da3e7334ea28cf2\",0,\"max_value_sqrt_xy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295941,
+      "path": "data/train/pb1/oproofs-s00002-r00009876-n000004-0000-3b40458eec225973.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3b40458eec225973593a9becf6881c51859011b2cc8f1e72671e38d8ae5274f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009880-n000004.json b/manifests/batches/oproofs/s00002-r00009880-n000004.json
index d6189e721e4fe6e1fbf2df6da53f0c8f1284cd22..b53cbc28423f3935ba385d8ffbe61377c6603a68 100644
--- a/manifests/batches/oproofs/s00002-r00009880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009880-n000004",
   "batch_fingerprint": "81767d6ee657c1ee7c66c9e8ff1c0dd6e669332bc3f3b37d7f512d6d97fa141b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009880-n000004-0000-3ce05ac3ce63ef1c.parquet",
-      "sha256": "3ce05ac3ce63ef1cb059650563a7c29a4a856ba2086c20a53c38cc4c287aca7e",
-      "bytes": 180315,
-      "rows": 17,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9881",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009881.lean\",\"40953ed82f8b432ec80debb754a6e010ae2418de55b700da2e1731f85415345d\",0,\"lean_workbook_plus_62610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009882.lean\",\"fcb8f160e6f4cc90857f8a29a77d1247be138b3a3b14969410ca3cd3474ecf9c\",0,\"lean_workbook_plus_13954\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009883.lean\",\"1a48b9b23c053ac6e1a365511475597f77bd21bf4d9d87891798de4ad9754849\",0,\"lean_workbook_plus_53529\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180315,
+      "path": "data/train/p48/oproofs-s00002-r00009880-n000004-0000-3ce05ac3ce63ef1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3ce05ac3ce63ef1cb059650563a7c29a4a856ba2086c20a53c38cc4c287aca7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009884-n000004.json b/manifests/batches/oproofs/s00002-r00009884-n000004.json
index bec5c6aa7d50535d888d152a32ea9c842c624ef0..ec35f55805b4484240fc6674edc231ecc1982093 100644
--- a/manifests/batches/oproofs/s00002-r00009884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009884-n000004",
   "batch_fingerprint": "1e9fa01ac113fbcbf68cc5c91b9b4abc2ae08f018dcb74f2313c782c8097207b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009884-n000004-0000-257fa438ab01168d.parquet",
-      "sha256": "257fa438ab01168d33cc830167191456b7f2991b8a8081e4674d5151b2da7dca",
-      "bytes": 127905,
-      "rows": 16,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009884-n000004-0000-26a05b85c2436c94.parquet",
-      "sha256": "26a05b85c2436c94b7ec3081b41c9b847006f20e1fe5f619de84d26dde34b2b4",
-      "bytes": 70513,
-      "rows": 4,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9885",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009885.lean\",\"dc0d45cbdadc87f89ad6837fa2a5992ec984208727e7a236c2abb0b748f71a62\",0,\"lean_workbook_plus_12795\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009886.lean\",\"7de822ab39381b789562d7c1cebd5f09059c8d1c762774d162680a59811e766d\",0,\"lean_workbook_plus_28173\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009887.lean\",\"e07384fad4c3832aaf39b7670ea57e70c7d2c1142f854932b6d83aada0820536\",0,\"lean_workbook_plus_17274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127905,
+      "path": "data/train/p16/oproofs-s00002-r00009884-n000004-0000-257fa438ab01168d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "257fa438ab01168d33cc830167191456b7f2991b8a8081e4674d5151b2da7dca"
+    },
+    {
+      "bytes": 70513,
+      "path": "data/internal_test/p16/oproofs-s00002-r00009884-n000004-0000-26a05b85c2436c94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "26a05b85c2436c94b7ec3081b41c9b847006f20e1fe5f619de84d26dde34b2b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009888-n000004.json b/manifests/batches/oproofs/s00002-r00009888-n000004.json
index 2dc970599ccdf4d0c3fe986335c3d15c80973e91..16344af21d8633b9786bca1fe3788ae20d4bbf11 100644
--- a/manifests/batches/oproofs/s00002-r00009888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009888-n000004",
   "batch_fingerprint": "2563dbc788fc35f7648b9913eaebe24074ced9b3561eee8000ef32956724c31a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9888",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9889",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9890",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9891"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009888.lean\",\"171e756f561212aeadb1d698d2cc80db452cd10714cade27490baab8ba5b318f\",0,\"lean_workbook_plus_57949\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009889.lean\",\"64293802957fd37506731ad0579b94fa30560c68496560ceb873cb1f1d0d2f15\",0,\"lean_workbook_plus_38229\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009890.lean\",\"33ac8b529d35bba03c24de26bc5fb6ade16159e4efcee9d74b66db45f0e74ef2\",0,\"lean_workbook_plus_5758\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009891.lean\",\"2c6ca6928a86bf8182d89128915020f1cada8ab03281d70ad4896acf6c21c966\",0,\"lean_workbook_55081\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009888-n000004-0000-f6937efd9d88757e.parquet",
-      "sha256": "f6937efd9d88757e6f4a7a718246bf823516363eeacae518db2569ae1082877f",
       "bytes": 162191,
+      "path": "data/train/p9e/oproofs-s00002-r00009888-n000004-0000-f6937efd9d88757e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "f6937efd9d88757e6f4a7a718246bf823516363eeacae518db2569ae1082877f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009888-n000004-0000-af36783d38e64d1b.parquet",
-      "sha256": "af36783d38e64d1b6ac9d30d026f0fe0ccfa4f480618a0f3b8512fb6698652a5",
       "bytes": 297360,
+      "path": "data/dev/p9e/oproofs-s00002-r00009888-n000004-0000-af36783d38e64d1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "af36783d38e64d1b6ac9d30d026f0fe0ccfa4f480618a0f3b8512fb6698652a5"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009888-n000004-0000-21e5e4fa8ee4e7e0.parquet",
-      "sha256": "21e5e4fa8ee4e7e02e3678e7ab07d4272f6f087a9717837f5ec31ef8933d048e",
       "bytes": 62615,
+      "path": "data/internal_test/p9e/oproofs-s00002-r00009888-n000004-0000-21e5e4fa8ee4e7e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "21e5e4fa8ee4e7e02e3678e7ab07d4272f6f087a9717837f5ec31ef8933d048e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9888",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9889",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9890",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9891"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009888.lean\",\"171e756f561212aeadb1d698d2cc80db452cd10714cade27490baab8ba5b318f\",0,\"lean_workbook_plus_57949\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009889.lean\",\"64293802957fd37506731ad0579b94fa30560c68496560ceb873cb1f1d0d2f15\",0,\"lean_workbook_plus_38229\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009890.lean\",\"33ac8b529d35bba03c24de26bc5fb6ade16159e4efcee9d74b66db45f0e74ef2\",0,\"lean_workbook_plus_5758\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009891.lean\",\"2c6ca6928a86bf8182d89128915020f1cada8ab03281d70ad4896acf6c21c966\",0,\"lean_workbook_55081\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009892-n000004.json b/manifests/batches/oproofs/s00002-r00009892-n000004.json
index f4a002faf647b297d64619ef4e25c8c7427d78a8..4a52782bcdff0afcee4607daf89e9faa9cef62a0 100644
--- a/manifests/batches/oproofs/s00002-r00009892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009892-n000004",
   "batch_fingerprint": "693a01f090536fcc822b4477fd738a0cc8dda01272974fee764b7fe4fe9408b7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009892-n000004-0000-278760fcc9cb8ab8.parquet",
-      "sha256": "278760fcc9cb8ab8f44ffc46ef06c3e2c4a7fe13ceffa24b9d049f8bf185c081",
-      "bytes": 165865,
-      "rows": 10,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009892-n000004-0000-5e567da92e450949.parquet",
-      "sha256": "5e567da92e45094978debba1c85157089b91bf98c578a7f8c954ead07a8af2bf",
-      "bytes": 110348,
-      "rows": 5,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009893.lean\",\"8ce6c530a584104ff355e58a9b2941a9516d0847b475c0d7242117b7d532eb98\",0,\"lean_workbook_plus_29794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009894.lean\",\"b25d5d7e60a31f7f08748646247fad552545d80581be20ffd5b4445a6db17916\",0,\"lean_workbook_17949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009895.lean\",\"1df70486b6a145194985f3b97a5cf989b847e85c5f25a5846b0ca2c98b05b6d5\",0,\"lean_workbook_plus_48480\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165865,
+      "path": "data/train/pa7/oproofs-s00002-r00009892-n000004-0000-278760fcc9cb8ab8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "278760fcc9cb8ab8f44ffc46ef06c3e2c4a7fe13ceffa24b9d049f8bf185c081"
+    },
+    {
+      "bytes": 110348,
+      "path": "data/internal_test/pa7/oproofs-s00002-r00009892-n000004-0000-5e567da92e450949.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5e567da92e45094978debba1c85157089b91bf98c578a7f8c954ead07a8af2bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009896-n000004.json b/manifests/batches/oproofs/s00002-r00009896-n000004.json
index 3d981a38d243c1103cb1b03da594cd4c9002d2f1..d8db567532eb7e4c47a662c5920d9ca455b279bd 100644
--- a/manifests/batches/oproofs/s00002-r00009896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009896-n000004",
   "batch_fingerprint": "d7c8f94df60e0787bb6aacc4b9436d2bf0941ddd7091c4a5957266efaa4bba1c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009896-n000004-0000-2d3dce2386054de8.parquet",
-      "sha256": "2d3dce2386054de89be7bc9a4182c22ffd7914fdf91e31656dfd5d7577e6d033",
-      "bytes": 424756,
-      "rows": 15,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009896-n000004-0000-eccd30bc95508e16.parquet",
-      "sha256": "eccd30bc95508e16d82155f7460bf36f5aa760335a6d3f21bc140ba653903e25",
-      "bytes": 219485,
-      "rows": 7,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009897.lean\",\"b9f853216332a1162829738d7133feb4df5b32f60373eeccf3859e977ecd64fb\",0,\"lean_workbook_plus_20167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009898.lean\",\"78deeca9647a17b4938a42184ed6acf928996f9c65ec2b78e2d5d350d27efaf0\",0,\"lean_workbook_plus_8709\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009899.lean\",\"f5567e4cfe27fc9c8702a3825820959648da5ccbbc9e60a2bfd08d05386b1850\",0,\"lean_workbook_plus_26085\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 424756,
+      "path": "data/train/p24/oproofs-s00002-r00009896-n000004-0000-2d3dce2386054de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2d3dce2386054de89be7bc9a4182c22ffd7914fdf91e31656dfd5d7577e6d033"
+    },
+    {
+      "bytes": 219485,
+      "path": "data/internal_test/p24/oproofs-s00002-r00009896-n000004-0000-eccd30bc95508e16.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "eccd30bc95508e16d82155f7460bf36f5aa760335a6d3f21bc140ba653903e25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009900-n000004.json b/manifests/batches/oproofs/s00002-r00009900-n000004.json
index d42d7dcbba0c91af51d8db0af42d0de7d7ca6d1b..64331d1d5dcccdeefa915bf5bcdbd29a9f13038e 100644
--- a/manifests/batches/oproofs/s00002-r00009900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009900-n000004",
   "batch_fingerprint": "e35f69a5bc2a1687c2a1db170bccd8fd941015f7de502324f793a8399caf7763",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009900-n000004-0000-c1b864bd5fe06c88.parquet",
-      "sha256": "c1b864bd5fe06c88c2e0c7c8fb59630ffab32b99e78fe7268d33bd0d1a16759b",
-      "bytes": 787160,
-      "rows": 20,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009900-n000004-0000-1ccfb88c3e4bc5a8.parquet",
-      "sha256": "1ccfb88c3e4bc5a84f419c780769834faebcabb1e8ea49e2b1947d02fd3b0b25",
-      "bytes": 230759,
-      "rows": 8,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009901.lean\",\"4836b3f7960908b99f9a84d5af70fe6af2d79d4e419b69aab4f85c7560904b3a\",0,\"t_divides_t2n1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009902.lean\",\"ca35f615b9fd1d389f80f720a6ca198bb188c8dd823aadf61e82c7c618c3168e\",0,\"lean_workbook_plus_67471\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009903.lean\",\"e680a4622e976ed933e390b4c2dfa0d16f94f477ab909ea4feb47dc1ca8f1631\",0,\"lean_workbook_22246\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 787160,
+      "path": "data/train/pda/oproofs-s00002-r00009900-n000004-0000-c1b864bd5fe06c88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c1b864bd5fe06c88c2e0c7c8fb59630ffab32b99e78fe7268d33bd0d1a16759b"
+    },
+    {
+      "bytes": 230759,
+      "path": "data/internal_test/pda/oproofs-s00002-r00009900-n000004-0000-1ccfb88c3e4bc5a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "1ccfb88c3e4bc5a84f419c780769834faebcabb1e8ea49e2b1947d02fd3b0b25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009904-n000004.json b/manifests/batches/oproofs/s00002-r00009904-n000004.json
index 2cccedc4b82e4b6ba8a074a4634767a050fc46e7..98a624604ef9969a20a08a70070777abc7fc94a0 100644
--- a/manifests/batches/oproofs/s00002-r00009904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009904-n000004",
   "batch_fingerprint": "a3b9c41d816df33042bff7d600e5c81220939c8a51bd179a54f4a4ebc3c1f5a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009904-n000004-0000-9d46b48583293b0e.parquet",
-      "sha256": "9d46b48583293b0e6d504d1432c6453acfb92282543e28ea8f8667cea79ed8ea",
-      "bytes": 370573,
-      "rows": 13,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009904-n000004-0000-509ef2dfbaa3857f.parquet",
-      "sha256": "509ef2dfbaa3857f803092a0deb3bc3393a7d2bdacad8057b9e5e7e7a53321d1",
-      "bytes": 39318,
-      "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009905.lean\",\"59f598fa4d484bad7e755b4acd779259342a73e067ad29ae9b2e695c707d80d1\",0,\"lean_workbook_plus_31045\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009906.lean\",\"3a43c02ab7d130902facc85a06022d1b3cff4f1406617bde4d927c59be9ebb03\",0,\"lean_workbook_plus_20291\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009907.lean\",\"be61d688ed13c9dbfd14856304afbc626aad7cf96981b60bc42be8ddf46a03a5\",0,\"lean_workbook_plus_7274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370573,
+      "path": "data/train/p3d/oproofs-s00002-r00009904-n000004-0000-9d46b48583293b0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9d46b48583293b0e6d504d1432c6453acfb92282543e28ea8f8667cea79ed8ea"
+    },
+    {
+      "bytes": 39318,
+      "path": "data/dev/p3d/oproofs-s00002-r00009904-n000004-0000-509ef2dfbaa3857f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "509ef2dfbaa3857f803092a0deb3bc3393a7d2bdacad8057b9e5e7e7a53321d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009908-n000004.json b/manifests/batches/oproofs/s00002-r00009908-n000004.json
index 8eb1753eecb7caa285d9449de090033a17a010c0..46a5ba284260cf0cd04e18a9433eae58a51d3e44 100644
--- a/manifests/batches/oproofs/s00002-r00009908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009908-n000004",
   "batch_fingerprint": "6c613d92750223bebffeb85f874bef866f93529fe63264421f3fe87889ee3783",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009908-n000004-0000-a3ec0960a15d6879.parquet",
-      "sha256": "a3ec0960a15d6879184a20218f2298a36a55b5858f307cd01d8875bc04b571ae",
-      "bytes": 254184,
-      "rows": 11,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009908-n000004-0000-0a82cd41be899c97.parquet",
-      "sha256": "0a82cd41be899c970d9176256c4cefcee9718a75366472c6e385d457213e5015",
-      "bytes": 94634,
-      "rows": 5,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9909",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009909.lean\",\"789074e9230d41086e828b760229be743e3c13e94ec3fde023a7e1db0483579d\",0,\"lean_workbook_plus_12120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009910.lean\",\"537b838c05080b1eaaa3b3ddd46e3704c1ad4e92a9826519de35289e2e2d1578\",0,\"lean_workbook_45984\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009911.lean\",\"53eb79a487005cd9851dc398e49dffc1eec857f7cd15bdd6ecbfabf8691af01b\",0,\"lean_workbook_plus_59421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254184,
+      "path": "data/train/p01/oproofs-s00002-r00009908-n000004-0000-a3ec0960a15d6879.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a3ec0960a15d6879184a20218f2298a36a55b5858f307cd01d8875bc04b571ae"
+    },
+    {
+      "bytes": 94634,
+      "path": "data/internal_test/p01/oproofs-s00002-r00009908-n000004-0000-0a82cd41be899c97.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0a82cd41be899c970d9176256c4cefcee9718a75366472c6e385d457213e5015"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009912-n000004.json b/manifests/batches/oproofs/s00002-r00009912-n000004.json
index 75a3b300cec0028f7465a0eaec94a08e0f67a074..104598c4201ec087290f04b1004f14f2a5c52a23 100644
--- a/manifests/batches/oproofs/s00002-r00009912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009912-n000004",
   "batch_fingerprint": "fa219be728d0d88d27982c083db11b93e88076253ccbb5388ac604ec2b2bd988",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009912-n000004-0000-d4228ded2598ae83.parquet",
-      "sha256": "d4228ded2598ae83249d8791c99cfb2c775c9cc5682dd1aa6adc2d76c4177d47",
-      "bytes": 778472,
-      "rows": 23,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009913.lean\",\"ea347665700a8a291239037e55727906ceee8a24a65cf1a4410ddfe9d3c9d9b7\",0,\"lean_workbook_plus_14216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009914.lean\",\"d30e9ae853781d40ab01571bd50ab8289cd684f63046664e35beb2238b9ffdbf\",0,\"lean_workbook_plus_13116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009915.lean\",\"4097b0eb7c7922261601e8f9039e19efa463e54d448b5574a0528581514c10e8\",0,\"lean_workbook_plus_57738\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 778472,
+      "path": "data/train/p11/oproofs-s00002-r00009912-n000004-0000-d4228ded2598ae83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d4228ded2598ae83249d8791c99cfb2c775c9cc5682dd1aa6adc2d76c4177d47"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009916-n000004.json b/manifests/batches/oproofs/s00002-r00009916-n000004.json
index d759f09e706aae024647a39ebf603f11b7113ef5..15a695d99729b8ec59c08242cb8efff9509e1644 100644
--- a/manifests/batches/oproofs/s00002-r00009916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009916-n000004",
   "batch_fingerprint": "9944777603fe47da7c36a9d2b0fc9e8607636b314f6556d8d47839bb2820fef5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009916-n000004-0000-0f7acc863ddefdc0.parquet",
-      "sha256": "0f7acc863ddefdc0c58f290c254a7faec39cc5ab6cd207b9b840559a08203aca",
-      "bytes": 192571,
-      "rows": 18,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009916-n000004-0000-5a37dcaa0e625dee.parquet",
-      "sha256": "5a37dcaa0e625deeaed20dcf595784d829251db8fda498253f76c140ba632d56",
-      "bytes": 85746,
-      "rows": 6,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009917.lean\",\"1a9ead0322a584b76d8be2683654334bc30edea4393f0c9484bf6b7078ebbacc\",0,\"lean_workbook_23554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009918.lean\",\"e0f6cddf11c415b4222d4ad876f4241e73ddf5b0f392b266c4f4ec8253c6afe9\",0,\"lean_workbook_56861\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009919.lean\",\"2b21dc27c465b6c5c8e137688132f36faef20a66dedb58dfbfdf32534fcd4f14\",0,\"lean_workbook_17851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192571,
+      "path": "data/train/p4a/oproofs-s00002-r00009916-n000004-0000-0f7acc863ddefdc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0f7acc863ddefdc0c58f290c254a7faec39cc5ab6cd207b9b840559a08203aca"
+    },
+    {
+      "bytes": 85746,
+      "path": "data/internal_test/p4a/oproofs-s00002-r00009916-n000004-0000-5a37dcaa0e625dee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5a37dcaa0e625deeaed20dcf595784d829251db8fda498253f76c140ba632d56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009920-n000004.json b/manifests/batches/oproofs/s00002-r00009920-n000004.json
index e6621eec8485c053976a063c0945337bc3500972..ebadc179cc4ad5eb6602998bf04bf11c75da530a 100644
--- a/manifests/batches/oproofs/s00002-r00009920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009920-n000004",
   "batch_fingerprint": "9565443852c7b5fc57a93cb9c4d51e4d5feca7f8e9ba84a842f94d9beeb68b33",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009920-n000004-0000-1dad75a5903eba54.parquet",
-      "sha256": "1dad75a5903eba5405adcaccdf3fb4559031c9d9353bc2e8224dab8a0c45024c",
-      "bytes": 839183,
-      "rows": 14,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009920-n000004-0000-978fc7d2dbb9e624.parquet",
-      "sha256": "978fc7d2dbb9e624750c5e0990573b487d5630a55691a782d6d443f292995893",
-      "bytes": 212343,
-      "rows": 9,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009921.lean\",\"3527aa10c9999914eb8cf5cb888ba704788f2324a591f3d3f232c05900a1a602\",0,\"lean_workbook_plus_60235\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009922.lean\",\"b5428c3a4305b0134faadee52e8d941d961e3a6bf13e56d3e12a922239677268\",0,\"lean_workbook_plus_5019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009923.lean\",\"33ba7f9a12f14a44fd033e7d87c90dd3780be9cc17ffbdf7ea2a7a4a3d503c05\",0,\"vertex_distance\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 839183,
+      "path": "data/train/p94/oproofs-s00002-r00009920-n000004-0000-1dad75a5903eba54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1dad75a5903eba5405adcaccdf3fb4559031c9d9353bc2e8224dab8a0c45024c"
+    },
+    {
+      "bytes": 212343,
+      "path": "data/dev/p94/oproofs-s00002-r00009920-n000004-0000-978fc7d2dbb9e624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "978fc7d2dbb9e624750c5e0990573b487d5630a55691a782d6d443f292995893"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009924-n000004.json b/manifests/batches/oproofs/s00002-r00009924-n000004.json
index d41d4e606cd3737669549828e1c7070c6bede328..17f845cf99e467bdbee218995c28fa3045cde8fe 100644
--- a/manifests/batches/oproofs/s00002-r00009924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009924-n000004",
   "batch_fingerprint": "2acbd9541d1e7673b2319816d19c4748a63fb4fae48472d58952a6fc66c1e23a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009924-n000004-0000-9258c81db04a7053.parquet",
-      "sha256": "9258c81db04a70532d33ab782d342141379ee7021055f956c37bedd78e2b60a0",
-      "bytes": 188472,
-      "rows": 22,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009925.lean\",\"ea4b942ac50e139647c9197d23da2760f99b9f452b3367dfe45baa54b09314b7\",0,\"lean_workbook_plus_28859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009926.lean\",\"7c9cc889f4a1d3a359a833584bd42fdf935d2d9db473e451dde449b58adf77a0\",0,\"lean_workbook_23997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009927.lean\",\"8dd4310e746242a4e6261d4d7c93cfd384fd175fa24940767a9537aa47428ecf\",0,\"lean_workbook_plus_78523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188472,
+      "path": "data/train/p40/oproofs-s00002-r00009924-n000004-0000-9258c81db04a7053.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "9258c81db04a70532d33ab782d342141379ee7021055f956c37bedd78e2b60a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009928-n000004.json b/manifests/batches/oproofs/s00002-r00009928-n000004.json
index 11d1422e9d149f894c4d6820fc1e70e4636d48fb..e7c1f004ad72319f9575196919a783578fef62d1 100644
--- a/manifests/batches/oproofs/s00002-r00009928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009928-n000004",
   "batch_fingerprint": "f0354ac69c50d95ef8dddad28464d2276f54a124b04b100d7f841362ab40251c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009928-n000004-0000-c7080a2b78a10c13.parquet",
-      "sha256": "c7080a2b78a10c134ed4f59a5c85635f9026e054d340ff311f92a6870f7344e1",
-      "bytes": 117139,
-      "rows": 10,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009928-n000004-0000-34c6045db3364a76.parquet",
-      "sha256": "34c6045db3364a76b6af1cd116b2a2c427311a2a081349cd8d73bc79f0d9ff8e",
-      "bytes": 78698,
-      "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9929",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009929.lean\",\"aa0e98350721f2ce262aba2fc1e1b1c42743a973cd5b89b7f7df8c1df2faab9a\",0,\"lean_workbook_plus_46755\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009930.lean\",\"eb9882e8ad969288a929fa39386515bcb54db3e32f468503d1030c1c03bbe455\",0,\"lean_workbook_plus_63963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009931.lean\",\"87bf27ee3ecb1e5113c2e0b70f96e2f87f854ccc3a30074149c269704b1224f1\",0,\"lean_workbook_plus_52367\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117139,
+      "path": "data/train/p28/oproofs-s00002-r00009928-n000004-0000-c7080a2b78a10c13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c7080a2b78a10c134ed4f59a5c85635f9026e054d340ff311f92a6870f7344e1"
+    },
+    {
+      "bytes": 78698,
+      "path": "data/internal_test/p28/oproofs-s00002-r00009928-n000004-0000-34c6045db3364a76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "34c6045db3364a76b6af1cd116b2a2c427311a2a081349cd8d73bc79f0d9ff8e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009932-n000004.json b/manifests/batches/oproofs/s00002-r00009932-n000004.json
index 098dd5027d64a3173259acccfa400c504a0bc0df..442ef694580f658a05a09b8dd0e25650274d86d6 100644
--- a/manifests/batches/oproofs/s00002-r00009932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009932-n000004",
   "batch_fingerprint": "a19b49b0159c529f1159934d12244607a10e20ecfcc6ee42c5d5e306aae623e8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009932-n000004-0000-9f667e9bd0f46a7e.parquet",
-      "sha256": "9f667e9bd0f46a7eb5f4849c27d36b268909a7da2b0bc6024783b2862e1f9fc0",
-      "bytes": 139313,
-      "rows": 15,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009933.lean\",\"fe2b3f48e91517f219d161b45759b11db1221acd4ed3111a15a5db46b521780e\",0,\"lean_workbook_plus_66656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009934.lean\",\"d9455399607518b9bbb8c170176413089072573b104d2e34ebea6e8704d76053\",0,\"lean_workbook_plus_48924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009935.lean\",\"89e8ce4aeb81436a79971973fff694931289033c802b73a9284a1e1d00b9f62e\",0,\"lean_workbook_plus_68634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139313,
+      "path": "data/train/pda/oproofs-s00002-r00009932-n000004-0000-9f667e9bd0f46a7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9f667e9bd0f46a7eb5f4849c27d36b268909a7da2b0bc6024783b2862e1f9fc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009936-n000004.json b/manifests/batches/oproofs/s00002-r00009936-n000004.json
index f55fda52d620707027105d48f70956e25978df89..7a0835a6217ad4007e87f392f07e3f87030d9450 100644
--- a/manifests/batches/oproofs/s00002-r00009936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009936-n000004",
   "batch_fingerprint": "ad645044efdb60d0bb1d0a8b69f16a8547938cd00f749146b75a6ec6123b7d1e",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009936-n000004-0000-4f67caf76927c739.parquet",
-      "sha256": "4f67caf76927c7394dea18a14b9c513ff5cfad095db57cb8cb31c6f620f40ac9",
-      "bytes": 185928,
-      "rows": 8,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9938",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009936.lean\",\"fda15fd35d56575e019753a1e21366efe3ac2d78d496dd2ddacd00708af78433\",0,\"lean_workbook_plus_75370\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009938.lean\",\"bfb0d60835b9a17b54540b79ec0dcedee104692e47b568dc9a43532eaf4154a8\",0,\"lean_workbook_plus_56575\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009939.lean\",\"d295c02eaad3e502ef0728399b23996cb20be5661765b7d83059fb970289308d\",0,\"lean_workbook_plus_43393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185928,
+      "path": "data/train/pdc/oproofs-s00002-r00009936-n000004-0000-4f67caf76927c739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4f67caf76927c7394dea18a14b9c513ff5cfad095db57cb8cb31c6f620f40ac9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009940-n000004.json b/manifests/batches/oproofs/s00002-r00009940-n000004.json
index 128d2e8168a76ee4f97594a1ad53c07aa871596b..5e44642d60ef42f8e8c0516b758907017710fea4 100644
--- a/manifests/batches/oproofs/s00002-r00009940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009940-n000004",
   "batch_fingerprint": "ee5eb183857268d051c3b99ffe8d6a60c5a557abaa5acb588e4384bf54a2b0ad",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009940-n000004-0000-90f0392aff54d58b.parquet",
-      "sha256": "90f0392aff54d58b041dbc62d88c62a7abfb709c2edb328187e7da4cdb1c287f",
-      "bytes": 733263,
-      "rows": 24,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00009940-n000004-0001-4f6017bb1cfb494b.parquet",
-      "sha256": "4f6017bb1cfb494b8c5f5cbb815d5726dc720aeda1b4129b39aa98fc7564bbd7",
-      "bytes": 1244735,
-      "rows": 2,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009941.lean\",\"fb51df20a32931addff333560f465d5f414f2878ddb8909b69527fad4bf6383f\",0,\"lean_workbook_plus_45491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009942.lean\",\"08d88474732fa1228805f1db1cff4c7ae42606df300ab89e66c3ad3fa45c21a3\",0,\"lean_workbook_plus_28600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009943.lean\",\"d6ae18cf0ca7d4cb10aea82a2b094734bc427ec7f98f1723202f816905983814\",0,\"lean_workbook_plus_22365\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 733263,
+      "path": "data/train/p9e/oproofs-s00002-r00009940-n000004-0000-90f0392aff54d58b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "90f0392aff54d58b041dbc62d88c62a7abfb709c2edb328187e7da4cdb1c287f"
+    },
+    {
+      "bytes": 1244735,
+      "path": "data/train/p9e/oproofs-s00002-r00009940-n000004-0001-4f6017bb1cfb494b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4f6017bb1cfb494b8c5f5cbb815d5726dc720aeda1b4129b39aa98fc7564bbd7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009944-n000004.json b/manifests/batches/oproofs/s00002-r00009944-n000004.json
index 3a7a060a6ac72d8a3322640fed7d30064a4bd707..d6763f031d7d32b76373cd4a37a2b39adb967da9 100644
--- a/manifests/batches/oproofs/s00002-r00009944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009944-n000004",
   "batch_fingerprint": "119016e1de55b676db485c1f62b813b493482749bcc47934066ca3078ea7771c",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009944-n000004-0000-601ed80debd251c1.parquet",
-      "sha256": "601ed80debd251c12d49beb05da943616ba439b6513b3ea6cc7f661da34b2efe",
-      "bytes": 268954,
-      "rows": 25,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9945",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009944.lean\",\"f839943603b4d70c1673a61eb7e053f79152c553d7967cebc2498b2ef993365b\",0,\"office_employees_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009945.lean\",\"d249f8ce4aca42910a748043fc54cfe0d671bbbfc087903dde5df3f791031d09\",0,\"lean_workbook_plus_67599\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009947.lean\",\"11d97c09fb6e780575ec5abed4877ec5eba740716fa38ebde0f9f56c3e7c764e\",0,\"lean_workbook_plus_43184\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 268954,
+      "path": "data/train/pdc/oproofs-s00002-r00009944-n000004-0000-601ed80debd251c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "601ed80debd251c12d49beb05da943616ba439b6513b3ea6cc7f661da34b2efe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009948-n000004.json b/manifests/batches/oproofs/s00002-r00009948-n000004.json
index 96ae526d55d25d1326043a951d1b30be9a7fb4ce..c2d17a44cf4f8e015c477d74ebc226ed1351c59f 100644
--- a/manifests/batches/oproofs/s00002-r00009948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009948-n000004",
   "batch_fingerprint": "c3f081128e5453b3b2e96f5c77d78114b8cfab87efd1de7350772e3f34992c16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009948-n000004-0000-4f2b7d61f621b5ad.parquet",
-      "sha256": "4f2b7d61f621b5adf86bc39e26d1f8feacb42dd4c178b3afe823a86b4186f5a1",
-      "bytes": 412169,
-      "rows": 19,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009948-n000004-0000-8364408d9ac5b2d9.parquet",
-      "sha256": "8364408d9ac5b2d95edd3edcad5a5ba2b990f27e8897ea68a76113dfef10d5cf",
-      "bytes": 54120,
-      "rows": 3,
-      "revision": "2c8955d84940eb8a65f9fd4e09729b3b31eca977"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009949.lean\",\"778f5c701d391f6995d9ad6b7ddb23359170d42aee623d0a6d47443a137adeb5\",0,\"max_value_sqrt_xy\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009950.lean\",\"fcbfcd6ce8a6bff24ffd8fb87eb8d380fa8b3d2247cb47affddcbe2c550ddbc9\",0,\"lean_workbook_plus_28190\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009951.lean\",\"50782167be5400b54fdf9c0f1fd8edb12c34940c2254809cd145931ba3614200\",0,\"lean_workbook_plus_81681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412169,
+      "path": "data/train/p18/oproofs-s00002-r00009948-n000004-0000-4f2b7d61f621b5ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4f2b7d61f621b5adf86bc39e26d1f8feacb42dd4c178b3afe823a86b4186f5a1"
+    },
+    {
+      "bytes": 54120,
+      "path": "data/dev/p18/oproofs-s00002-r00009948-n000004-0000-8364408d9ac5b2d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8364408d9ac5b2d95edd3edcad5a5ba2b990f27e8897ea68a76113dfef10d5cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009952-n000004.json b/manifests/batches/oproofs/s00002-r00009952-n000004.json
index 58aca807ed9f7da4f480b510bf40fd329f241f3d..a4d97a4894ff9d22a12a215847c4534107e5a51a 100644
--- a/manifests/batches/oproofs/s00002-r00009952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009952-n000004",
   "batch_fingerprint": "8f8967a5cdbe5f1fa901256cba8dcc45d26764d48a0f36f88a79e0e6040a3dd6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009952-n000004-0000-ec1be4089d6ad05d.parquet",
-      "sha256": "ec1be4089d6ad05df33b6cd91191b8a6b4a93f178a58360841fa4092b479f144",
-      "bytes": 174746,
-      "rows": 12,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00009952-n000004-0000-7e06d829b5a4d1ec.parquet",
-      "sha256": "7e06d829b5a4d1ec8c48edf6c3417593ab8714e9737ed270d9f72af8d14810c2",
-      "bytes": 78444,
-      "rows": 3,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009953.lean\",\"82b8a0e35770286c08b7b570803c34553a01fda97d3c524f7b39b68c26168ec5\",0,\"lean_workbook_plus_65146\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009954.lean\",\"8633c9cba267a24fa087ef3abb8028d07017f49637986e341343fbf2f7743711\",0,\"lean_workbook_plus_62610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009955.lean\",\"cbfac4b06b60087e691965decc3eef60f213b041ff74d81a96750a49e07c0035\",0,\"lean_workbook_plus_81532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174746,
+      "path": "data/train/pef/oproofs-s00002-r00009952-n000004-0000-ec1be4089d6ad05d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ec1be4089d6ad05df33b6cd91191b8a6b4a93f178a58360841fa4092b479f144"
+    },
+    {
+      "bytes": 78444,
+      "path": "data/dev/pef/oproofs-s00002-r00009952-n000004-0000-7e06d829b5a4d1ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7e06d829b5a4d1ec8c48edf6c3417593ab8714e9737ed270d9f72af8d14810c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009956-n000004.json b/manifests/batches/oproofs/s00002-r00009956-n000004.json
index 350e129896cdbd6119e7a4b9273e258305d19829..051beade3242a6cc894e66d9c61df43908d8a713 100644
--- a/manifests/batches/oproofs/s00002-r00009956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009956-n000004",
   "batch_fingerprint": "4645f442ab9683a96923d21dff7ceb0f2e7844de916e1a2e38b450bd79dad944",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009956-n000004-0000-e616cace69961c81.parquet",
-      "sha256": "e616cace69961c81f2adcd8ada346548feb3d05f3ebe75d2c7676ad77e643a97",
-      "bytes": 102009,
-      "rows": 11,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009956-n000004-0000-fc4ad0fdb41040ca.parquet",
-      "sha256": "fc4ad0fdb41040ca87e49f1cea056c1d8c310b6690e7e99accf8776dcf6e2bbd",
-      "bytes": 84095,
-      "rows": 6,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009957.lean\",\"96427effb62a53818ba1067c6bec8a75dd5021b430a1c1090e47f4311f685270\",0,\"lean_workbook_plus_37488\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009958.lean\",\"8e4ed13678a5e5448e1cacaf9d80f4f46632d6ba2acd62f1fc067db924e35b8f\",0,\"lean_workbook_21123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009959.lean\",\"77ac90606f8d378476e4ab8be4f6c450a0d7deb79dc5141dbe683d1456ec5b7b\",0,\"lean_workbook_plus_17274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102009,
+      "path": "data/train/p49/oproofs-s00002-r00009956-n000004-0000-e616cace69961c81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e616cace69961c81f2adcd8ada346548feb3d05f3ebe75d2c7676ad77e643a97"
+    },
+    {
+      "bytes": 84095,
+      "path": "data/internal_test/p49/oproofs-s00002-r00009956-n000004-0000-fc4ad0fdb41040ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fc4ad0fdb41040ca87e49f1cea056c1d8c310b6690e7e99accf8776dcf6e2bbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009960-n000004.json b/manifests/batches/oproofs/s00002-r00009960-n000004.json
index e07c31c69dd7d1c09ba48f9809750558a958c26b..caf6066b53d22e184269755bcb8cb688bae9f108 100644
--- a/manifests/batches/oproofs/s00002-r00009960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009960-n000004",
   "batch_fingerprint": "2b7579b12cfed031b46c5049f423b71ef05e28193195783627a8e3de63542b5d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009960-n000004-0000-a651cc4f0696c98f.parquet",
-      "sha256": "a651cc4f0696c98f47326d55337cdbe9d6f97c6dcf2c9c146b010974387c58a6",
-      "bytes": 192499,
-      "rows": 25,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9961",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009961.lean\",\"fed6e4bf9a2ff250076b6dde99288e0ee8f9c659fdab7d815ca6c8ad1bd5bb4c\",0,\"lean_workbook_plus_53529\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009962.lean\",\"67f28643b0eae73266b6540fb1e916df5a5bdaaefd3e7e945da60c93e87cfa35\",0,\"lean_workbook_29310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009963.lean\",\"ddf5c11820b8f001be365d339cfbc85d4b99a0c934eb94b8c6f588a9d23d9066\",0,\"lean_workbook_plus_12795\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192499,
+      "path": "data/train/p9a/oproofs-s00002-r00009960-n000004-0000-a651cc4f0696c98f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "a651cc4f0696c98f47326d55337cdbe9d6f97c6dcf2c9c146b010974387c58a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009964-n000004.json b/manifests/batches/oproofs/s00002-r00009964-n000004.json
index 07815ed268079af310849f9431a94e2b553f75c8..73c92f5e8cee071c497a6d61d2b37144e5c538c0 100644
--- a/manifests/batches/oproofs/s00002-r00009964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009964-n000004",
   "batch_fingerprint": "13e04fff58ca4c253a4ebb7a15d02602933c2b2f009722e95e5005bf4a9a5427",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009964-n000004-0000-064738dc415f5b1f.parquet",
-      "sha256": "064738dc415f5b1f6a38c9de87338be68bad003bc6eddd6b5a082a77d5ffd796",
-      "bytes": 446260,
-      "rows": 22,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009965.lean\",\"ed68261d261d4a1a5ea5a15d74da7051227b03f52d3bdbce3f045388107bffa3\",0,\"lean_workbook_plus_24640\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009966.lean\",\"2780792e50847817852318f4ee87b4f3745608430da21abb016b1d460d84b4ba\",0,\"lean_workbook_plus_7012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009967.lean\",\"05246a26bcce09fbb0864b29aa9df109c8089f09c1c8bd24aa85effe7d02bce7\",0,\"lean_workbook_plus_61034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 446260,
+      "path": "data/train/pab/oproofs-s00002-r00009964-n000004-0000-064738dc415f5b1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "064738dc415f5b1f6a38c9de87338be68bad003bc6eddd6b5a082a77d5ffd796"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009968-n000004.json b/manifests/batches/oproofs/s00002-r00009968-n000004.json
index 0ed95c72e59268bf7fc2e2f4427898601dfd3440..62da530211b55dcef5480c52138fbdc87a437083 100644
--- a/manifests/batches/oproofs/s00002-r00009968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009968-n000004",
   "batch_fingerprint": "a7ed904f4f1a7b721ff5a19876e5f1015983ee918b296864e424b4bea59fb7d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009968-n000004-0000-22953c95d993a50d.parquet",
-      "sha256": "22953c95d993a50daa52b7c46e1ac00a105fef01fe246af90ffea7f98a1f3743",
-      "bytes": 197255,
-      "rows": 13,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009968-n000004-0000-205ff6ecf76b0609.parquet",
-      "sha256": "205ff6ecf76b06098206c5078725913000c3da63a9330615655cd245945fd42e",
-      "bytes": 244604,
-      "rows": 6,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009969.lean\",\"e80c379e48463833ebb28eacc72f63d91d308d99c22b1a8d61b2d59b4a5806c8\",0,\"lean_workbook_plus_51329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009970.lean\",\"2345ad17201c1667af9124768e1b51393d25da80601146f41a1362600e6a9ad8\",0,\"lean_workbook_plus_48480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009971.lean\",\"949456df73559ae5492e3a691e0abbc06491d3dadf77337136357203bf8da860\",0,\"lean_workbook_17949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197255,
+      "path": "data/train/pe2/oproofs-s00002-r00009968-n000004-0000-22953c95d993a50d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "22953c95d993a50daa52b7c46e1ac00a105fef01fe246af90ffea7f98a1f3743"
+    },
+    {
+      "bytes": 244604,
+      "path": "data/internal_test/pe2/oproofs-s00002-r00009968-n000004-0000-205ff6ecf76b0609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "205ff6ecf76b06098206c5078725913000c3da63a9330615655cd245945fd42e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009972-n000004.json b/manifests/batches/oproofs/s00002-r00009972-n000004.json
index fb7354b53c32f73151a88334dc8d18ab74f21329..6c11524e37c4998c94aac9396367d02d1ded44d8 100644
--- a/manifests/batches/oproofs/s00002-r00009972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009972-n000004",
   "batch_fingerprint": "a066d0f1413844a39ff0fa543263faa2e57079f431628d613f1dc90c19cb248c",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9972",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9973",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9974",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9975"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009972.lean\",\"293e28db963422ccf2e2393095f3b55e848fc68d7b3436cecf169cf5b195da8f\",0,\"lean_workbook_plus_52588\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009973.lean\",\"884fc456dbc6f5c8873bcfaec67890e47565c88a0667e5de0a1f848311748a73\",0,\"lean_workbook_plus_8709\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009974.lean\",\"a22e215c3e3fb3e533f52e7b4befe1b9476aa2d41e4bfdcdb7701187a273e733\",0,\"lean_workbook_plus_67471\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009975.lean\",\"1cc59aca44377fa3e91d0adfc511f22223fd6d915bd3fee4a52440fe34312e48\",0,\"lean_workbook_plus_31045\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009972-n000004-0000-e04872827bc7fd0b.parquet",
-      "sha256": "e04872827bc7fd0b0e5f4d889f2d05ea680d504321ea05e6dff221970164a7a8",
       "bytes": 801682,
+      "path": "data/train/pe8/oproofs-s00002-r00009972-n000004-0000-e04872827bc7fd0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "e04872827bc7fd0b0e5f4d889f2d05ea680d504321ea05e6dff221970164a7a8"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009972-n000004-0000-fa5e6d7e3ac854dd.parquet",
-      "sha256": "fa5e6d7e3ac854dde5d7c2e7d2279450955a9ecba330e101122d6f0d4934c9f1",
       "bytes": 38458,
+      "path": "data/dev/pe8/oproofs-s00002-r00009972-n000004-0000-fa5e6d7e3ac854dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "fa5e6d7e3ac854dde5d7c2e7d2279450955a9ecba330e101122d6f0d4934c9f1"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009972-n000004-0000-5f8ddf2b119b3ebb.parquet",
-      "sha256": "5f8ddf2b119b3ebb69f6683344c2edf42e7ee5a995004f8c57135dfdabb6c388",
       "bytes": 39309,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00009972-n000004-0000-5f8ddf2b119b3ebb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "5f8ddf2b119b3ebb69f6683344c2edf42e7ee5a995004f8c57135dfdabb6c388"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9972",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9973",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9974",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9975"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009972.lean\",\"293e28db963422ccf2e2393095f3b55e848fc68d7b3436cecf169cf5b195da8f\",0,\"lean_workbook_plus_52588\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009973.lean\",\"884fc456dbc6f5c8873bcfaec67890e47565c88a0667e5de0a1f848311748a73\",0,\"lean_workbook_plus_8709\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009974.lean\",\"a22e215c3e3fb3e533f52e7b4befe1b9476aa2d41e4bfdcdb7701187a273e733\",0,\"lean_workbook_plus_67471\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009975.lean\",\"1cc59aca44377fa3e91d0adfc511f22223fd6d915bd3fee4a52440fe34312e48\",0,\"lean_workbook_plus_31045\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009976-n000004.json b/manifests/batches/oproofs/s00002-r00009976-n000004.json
index 06a4832f4638ccc4ab40b09b06915ef23996c629..529c060340205763df0d66f09f6b913bdb17185f 100644
--- a/manifests/batches/oproofs/s00002-r00009976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009976-n000004",
   "batch_fingerprint": "54f6de52a4dbe39c44d0c51a2ebf2df8088386c949681d5c25f25f706bc54a60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009976-n000004-0000-87f1dad8fa652918.parquet",
-      "sha256": "87f1dad8fa652918d6415d13396836c53bf6739633760e529b865c162e56dedd",
-      "bytes": 370478,
-      "rows": 18,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009977.lean\",\"cd3e5ed0e6b6b20fe88a275e2e9261210b07f92a6f3fd981459c613bfd5a3cbf\",0,\"lean_workbook_plus_17898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009978.lean\",\"71d5ac9a769e26b81907f8542bc35316060b41d41742647f6106e6cbcf23ea1f\",0,\"lean_workbook_13307\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009979.lean\",\"65d207ab1db74bc528449baebbe91cadefdf3e020d492ae55b190fa4bb8bd3b5\",0,\"lean_workbook_plus_79971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370478,
+      "path": "data/train/pb5/oproofs-s00002-r00009976-n000004-0000-87f1dad8fa652918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "87f1dad8fa652918d6415d13396836c53bf6739633760e529b865c162e56dedd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009980-n000004.json b/manifests/batches/oproofs/s00002-r00009980-n000004.json
index 819db47ac43e6c309ed4be6d0164445df4d12880..12df5a0cbbff1f56c58ab5dcb3b199fafc64b47e 100644
--- a/manifests/batches/oproofs/s00002-r00009980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009980-n000004",
   "batch_fingerprint": "c1768fac6cc648a9ac573b46bfe6374becbfbfe0c7c611592d81d86bcecf1ad6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9980",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9981",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9982",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9983"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009980.lean\",\"d85243971516ea92ca1c8fbb90b434dbb0548a3a40da1a7305a1915e4ed9b190\",0,\"lean_workbook_plus_50217\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009981.lean\",\"903318818d2406c7ba4a2bc690f914999aa158c8b381b26d38c2f611663ab0df\",0,\"lean_workbook_plus_70896\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009982.lean\",\"7d42fc477ca23f43b044642e21948af8592dfd076259745a5f5c37b8cadd5fd6\",0,\"lean_workbook_plus_12120\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009983.lean\",\"ac8757fb14295fe53540600b45385113aa67fcd91922dc1258853a60ca1582f9\",0,\"lean_workbook_plus_40190\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00009980-n000004-0000-9bf6b7c89b289f91.parquet",
-      "sha256": "9bf6b7c89b289f91d5c98fb0d8f02fd087d18cfef9cc910bcb47d3746a563e3b",
       "bytes": 195223,
+      "path": "data/train/pd3/oproofs-s00002-r00009980-n000004-0000-9bf6b7c89b289f91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "9bf6b7c89b289f91d5c98fb0d8f02fd087d18cfef9cc910bcb47d3746a563e3b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00009980-n000004-0000-eaa84776f1a493e7.parquet",
-      "sha256": "eaa84776f1a493e7e99b62445b1dc1d3c9064e6c77d2263e698183aedf5ab3b9",
       "bytes": 184500,
+      "path": "data/dev/pd3/oproofs-s00002-r00009980-n000004-0000-eaa84776f1a493e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "eaa84776f1a493e7e99b62445b1dc1d3c9064e6c77d2263e698183aedf5ab3b9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00009980-n000004-0000-46f610751bba6b7e.parquet",
-      "sha256": "46f610751bba6b7ee9748bd7684f4018bc19f80d09ec86445186196f0b701d1e",
       "bytes": 93177,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00009980-n000004-0000-46f610751bba6b7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "38725617cdcef8da44ab0672adaae789f6494ed6"
+      "sha256": "46f610751bba6b7ee9748bd7684f4018bc19f80d09ec86445186196f0b701d1e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9980",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9981",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9982",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9983"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009980.lean\",\"d85243971516ea92ca1c8fbb90b434dbb0548a3a40da1a7305a1915e4ed9b190\",0,\"lean_workbook_plus_50217\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009981.lean\",\"903318818d2406c7ba4a2bc690f914999aa158c8b381b26d38c2f611663ab0df\",0,\"lean_workbook_plus_70896\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009982.lean\",\"7d42fc477ca23f43b044642e21948af8592dfd076259745a5f5c37b8cadd5fd6\",0,\"lean_workbook_plus_12120\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009983.lean\",\"ac8757fb14295fe53540600b45385113aa67fcd91922dc1258853a60ca1582f9\",0,\"lean_workbook_plus_40190\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009984-n000004.json b/manifests/batches/oproofs/s00002-r00009984-n000004.json
index 50846d4f8b42ab47375308d012a1e35be97f6126..851071c7646e1dd7966cf894ea69513dedba1a65 100644
--- a/manifests/batches/oproofs/s00002-r00009984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009984-n000004",
   "batch_fingerprint": "05843c0d32d9ba4f750e3de6190096d33e268e6e870245b45c795c4979a525fe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009984-n000004-0000-ce59a211a0db27db.parquet",
-      "sha256": "ce59a211a0db27db358ce32a7fab911bb1fc57375e80bd2dd1b14cfc96e73e0c",
-      "bytes": 1334242,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009984-n000004-0000-159eeddbff0996a0.parquet",
-      "sha256": "159eeddbff0996a0047716c9ac637a9d4d622d22e685f7fda0a4882a303844d8",
-      "bytes": 99442,
-      "rows": 5,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9985",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009985.lean\",\"8b6ed5f24b9684b656864f1c9e679550d00d4ec525ee9829688667704bdc148e\",0,\"lean_workbook_plus_59421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009986.lean\",\"455733d3dd94fa38da446fbe091c2ab81a64f4bec109a6bec35e516dd413ceb8\",0,\"lean_workbook_plus_13116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009987.lean\",\"ac1e8437ccc931a467bdfbadf692f2bb687f2e9f9272adb993f8e12d00a02b34\",0,\"area_bisector_point_location\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1334242,
+      "path": "data/train/p84/oproofs-s00002-r00009984-n000004-0000-ce59a211a0db27db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ce59a211a0db27db358ce32a7fab911bb1fc57375e80bd2dd1b14cfc96e73e0c"
+    },
+    {
+      "bytes": 99442,
+      "path": "data/internal_test/p84/oproofs-s00002-r00009984-n000004-0000-159eeddbff0996a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "159eeddbff0996a0047716c9ac637a9d4d622d22e685f7fda0a4882a303844d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009988-n000004.json b/manifests/batches/oproofs/s00002-r00009988-n000004.json
index b308cc0a436842dc7c72c5084e2a655d107eca8c..ea002675d128262611c3d854cc089a48ba38da86 100644
--- a/manifests/batches/oproofs/s00002-r00009988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009988-n000004",
   "batch_fingerprint": "20edbbcedb853a5c657bdd9c4d1c9c89186a41849c54f627c3ca5226e2913320",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009988-n000004-0000-9a9094b5235a8d10.parquet",
-      "sha256": "9a9094b5235a8d10dfd7779564c1e8afa69e43b82c2da97e58c92bc738f2ead5",
-      "bytes": 433195,
-      "rows": 18,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009988-n000004-0000-dc1430b24d82a3e6.parquet",
-      "sha256": "dc1430b24d82a3e6cf65df7b374b9a68eff37fd09b033d0caf06b37be68596a1",
-      "bytes": 85670,
-      "rows": 6,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009989.lean\",\"b7136215a74f9e45e7852c7e53664e7a61faaebfd38b2af873e2709e0bb7a016\",0,\"lean_workbook_23554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009990.lean\",\"d39ad6702a33a9f83518b9e6f33f7a3c207aabc3d01917dab85c56e9d5a0c50e\",0,\"lean_workbook_plus_14216\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009991.lean\",\"758535f9f0375ccc039afd9b3c8df73422bc0c14fba5ccd24322f9cf631a015b\",0,\"lean_workbook_17851\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 433195,
+      "path": "data/train/pde/oproofs-s00002-r00009988-n000004-0000-9a9094b5235a8d10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9a9094b5235a8d10dfd7779564c1e8afa69e43b82c2da97e58c92bc738f2ead5"
+    },
+    {
+      "bytes": 85670,
+      "path": "data/internal_test/pde/oproofs-s00002-r00009988-n000004-0000-dc1430b24d82a3e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "dc1430b24d82a3e6cf65df7b374b9a68eff37fd09b033d0caf06b37be68596a1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009992-n000004.json b/manifests/batches/oproofs/s00002-r00009992-n000004.json
index ebfab4e6d25d0ddebc9c40212ee1335195164cb5..5b3831c3ff1df1b802273dbbd738c37245c43f93 100644
--- a/manifests/batches/oproofs/s00002-r00009992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009992-n000004",
   "batch_fingerprint": "f4fce32743b5adb8e06b9ca4a285ca3bb4085946250bbcc58d64dc7c62feb1f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009992-n000004-0000-a051dcfc6774103e.parquet",
-      "sha256": "a051dcfc6774103e5c8889e20eac7829c16cf839ac560d2ffaa93d5d2249cede",
-      "bytes": 88751,
-      "rows": 14,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9993",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009993.lean\",\"e98b9af840b4c17d9e024be03245764c91bff6dc0774a440561735b34ef77846\",0,\"lean_workbook_plus_28859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009994.lean\",\"f950ddf9d2b37308ec8220a515d7505460248bf80dde81957ece485de70ab92e\",0,\"lean_workbook_plus_78523\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009995.lean\",\"9f74a606c78d92b486acd2bd75c97f8ad9c57cf5c9312d29b92b732030e97e96\",0,\"lean_workbook_49613\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88751,
+      "path": "data/train/p22/oproofs-s00002-r00009992-n000004-0000-a051dcfc6774103e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a051dcfc6774103e5c8889e20eac7829c16cf839ac560d2ffaa93d5d2249cede"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00009996-n000004.json b/manifests/batches/oproofs/s00002-r00009996-n000004.json
index 5023e1645e3fe870d160f5e5dd318a065c473076..0e04fd233d6e0b8da308621908cb9252f42052e1 100644
--- a/manifests/batches/oproofs/s00002-r00009996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00009996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00009996-n000004",
   "batch_fingerprint": "2ccd1f480996726fb0bdda89e893d803ff7dafe5aec9e4203f3557cfb8753527",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00009996-n000004-0000-9a15ff380824e1e2.parquet",
-      "sha256": "9a15ff380824e1e20b75810c0f2f9be8d8c28ac8fb4c67668a8db2e2c4a8de21",
-      "bytes": 145205,
-      "rows": 12,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00009996-n000004-0000-e73e8158f8e10416.parquet",
-      "sha256": "e73e8158f8e10416c58b6501afc42bb02fd49637714b9d9a2fec3e4c8bd3539b",
-      "bytes": 41764,
-      "rows": 2,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:9997",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009997.lean\",\"5b63ccc8b8ec906b44e3447d25528102fa1573d29def3b842bd3170a9b57f695\",0,\"lean_workbook_23997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009998.lean\",\"e8dfdb87c0ac298dc75819d11c884ebfbe99e79f17198c303359c8428d4c5430\",0,\"lean_workbook_plus_63963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_009999.lean\",\"f730e819b2755b80a4eb5b207f08f1fee7495370d95b117744054e244956f109\",0,\"lean_workbook_45552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145205,
+      "path": "data/train/p31/oproofs-s00002-r00009996-n000004-0000-9a15ff380824e1e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9a15ff380824e1e20b75810c0f2f9be8d8c28ac8fb4c67668a8db2e2c4a8de21"
+    },
+    {
+      "bytes": 41764,
+      "path": "data/internal_test/p31/oproofs-s00002-r00009996-n000004-0000-e73e8158f8e10416.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e73e8158f8e10416c58b6501afc42bb02fd49637714b9d9a2fec3e4c8bd3539b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010000-n000004.json b/manifests/batches/oproofs/s00002-r00010000-n000004.json
index b7eebdf2626c2a6ddb5bc31fdb6159a75b82cd3c..e0ef43c6b25e85393b6ba4a4d2ca70ed154966fe 100644
--- a/manifests/batches/oproofs/s00002-r00010000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010000-n000004",
   "batch_fingerprint": "8abeba123dc868ed337f241633c4bcbbc1095dfb91e770cb6e11a20f073c2451",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010000-n000004-0000-4b545cbd68eac855.parquet",
-      "sha256": "4b545cbd68eac85544217ad0bedd14ce38b56503ed3cac0ffdc982b4aa6652b0",
-      "bytes": 158021,
-      "rows": 12,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010000-n000004-0000-241df8a237faf205.parquet",
-      "sha256": "241df8a237faf2058e40d435f9baac15681393d313f941b5f8380d56d80e2268",
-      "bytes": 85770,
-      "rows": 2,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10001",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010001.lean\",\"10ca9b3465ec647fda736c972b6d10abe2c8104c5f5eea71a30eeae75106a831\",0,\"lean_workbook_plus_48924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010002.lean\",\"9deaab059af39991db9a8e4a0d915bad19b2cfb9bdfe297359a25a0f803dcfe4\",0,\"lean_workbook_plus_68634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010003.lean\",\"48ad8d94ecfbbfea2a5e76236d5fac59e3d175bb2f915e76bbef4fede2f2658c\",0,\"lean_workbook_48333\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158021,
+      "path": "data/train/p6f/oproofs-s00002-r00010000-n000004-0000-4b545cbd68eac855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4b545cbd68eac85544217ad0bedd14ce38b56503ed3cac0ffdc982b4aa6652b0"
+    },
+    {
+      "bytes": 85770,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00010000-n000004-0000-241df8a237faf205.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "241df8a237faf2058e40d435f9baac15681393d313f941b5f8380d56d80e2268"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010004-n000004.json b/manifests/batches/oproofs/s00002-r00010004-n000004.json
index 2272ec3cd8c889e0547356e07dee3a9a48d99577..aeebb65b745929db8537dcfec7b1eb149cd768f6 100644
--- a/manifests/batches/oproofs/s00002-r00010004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010004-n000004",
   "batch_fingerprint": "7b0c7cd8e681abeecc1a760ae2ec3526c02b83d349fedc98401d8c10f259ba92",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010004-n000004-0000-5b046528b9a4b7a4.parquet",
-      "sha256": "5b046528b9a4b7a43c9c11d063b162cbe63e62433a7fa7ec2fa8f84753601c34",
-      "bytes": 257205,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10005",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010005.lean\",\"27acbcbda70c9597cef6ac4a57e7e9757b152eaf5751e8d4cd31eac37438f8ff\",0,\"lean_workbook_plus_75370\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010006.lean\",\"7e4883e511e4d2bd71b5f24f28d0bf60a142378f05658a65d5328f1b92a6419a\",0,\"lean_workbook_plus_43393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010007.lean\",\"26aba525debc287d0f9d5fe1ace6e4cfe8a904b02a0bccd7a6e41b99ee35a14c\",0,\"lean_workbook_54687\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257205,
+      "path": "data/train/pde/oproofs-s00002-r00010004-n000004-0000-5b046528b9a4b7a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5b046528b9a4b7a43c9c11d063b162cbe63e62433a7fa7ec2fa8f84753601c34"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010008-n000004.json b/manifests/batches/oproofs/s00002-r00010008-n000004.json
index 2b351ed69b41df812d2e1c5c727050d0d55d3a96..7ae0baaff2453ea41146a65602e7d044a0f6d9f4 100644
--- a/manifests/batches/oproofs/s00002-r00010008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010008-n000004",
   "batch_fingerprint": "2e5b8d1836d5bb8dde575d8765541fcb263f96edc7771c36173050f68811c67a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010008-n000004-0000-4a2109e8e580af39.parquet",
-      "sha256": "4a2109e8e580af39e1ffab7e69b2d30420b282b511fb8203d2dc6e2a41ea9d5e",
-      "bytes": 358724,
-      "rows": 19,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10009",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010009.lean\",\"8f90b60e48fb77b4f47d5ba7d608f280243bd1954364c0207b27b40002fa3f6a\",0,\"office_employees_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010010.lean\",\"0b3c6eb296140c3ad0a4f52cf7957423f8903dbbcaf9e32d09ac2e192140abeb\",0,\"lean_workbook_plus_45491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010011.lean\",\"e11faccd9b8798f9e943e028fc59c3af370edbae6e97ab0fe5343a353f708359\",0,\"lean_workbook_plus_70457\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358724,
+      "path": "data/train/pa3/oproofs-s00002-r00010008-n000004-0000-4a2109e8e580af39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4a2109e8e580af39e1ffab7e69b2d30420b282b511fb8203d2dc6e2a41ea9d5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010012-n000004.json b/manifests/batches/oproofs/s00002-r00010012-n000004.json
index f1bc69502be933f2b43b12fee792f9a5aeb7a5a8..94a8e1da7229721e56a0254d4825127a5abdd753 100644
--- a/manifests/batches/oproofs/s00002-r00010012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010012-n000004",
   "batch_fingerprint": "042ff6b6f7c171a38473f7e37204d63bbb3a9905d30bbf9aaf6238be7c6d0e9e",
   "evidence": {
@@ -19,53 +18,54 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10012",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10013",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10014",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10015"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010012.lean\",\"2cc5a0d7c0d493fd1433884d7b1036e4fabe6a80798328d634a969ca59189ccf\",0,\"lean_workbook_plus_43184\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010013.lean\",\"ac2e372e4721d0210fe8906523c0439893b323dbc417c5822f9f12e9cdbdccaa\",0,\"lean_workbook_plus_22365\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010014.lean\",\"e344bd6c3848dec79fa4aaaebef2544a8194183623d636992aecc7164dd23070\",0,\"max_value_sqrt_xy\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010015.lean\",\"2c6d0ded99e00f7dfe64e6a93af48901ef61614beb68b1e4451a4cf43c6fbd52\",0,\"lean_workbook_plus_80062\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010012-n000004-0000-e22a980c93bfee9f.parquet",
-      "sha256": "e22a980c93bfee9fdb6648c596b0b17f3c3b43dd5d1b8ab5b7b4da23b979cfa1",
       "bytes": 637681,
+      "path": "data/train/p2f/oproofs-s00002-r00010012-n000004-0000-e22a980c93bfee9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "e22a980c93bfee9fdb6648c596b0b17f3c3b43dd5d1b8ab5b7b4da23b979cfa1"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010012-n000004-0001-a81f1dfa4d83e5d7.parquet",
-      "sha256": "a81f1dfa4d83e5d7a87eaafcfac9c96eaac79e83c55a1d444a8b751e4798e42b",
       "bytes": 553944,
+      "path": "data/train/p2f/oproofs-s00002-r00010012-n000004-0001-a81f1dfa4d83e5d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "a81f1dfa4d83e5d7a87eaafcfac9c96eaac79e83c55a1d444a8b751e4798e42b"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010012-n000004-0002-423d8a0ab7ee6c57.parquet",
-      "sha256": "423d8a0ab7ee6c57384287aa8a69597f1d3e9bf507b898f09a1c017e757a6927",
       "bytes": 1180700,
+      "path": "data/train/p2f/oproofs-s00002-r00010012-n000004-0002-423d8a0ab7ee6c57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "423d8a0ab7ee6c57384287aa8a69597f1d3e9bf507b898f09a1c017e757a6927"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010012-n000004-0003-8125de5cd6694071.parquet",
-      "sha256": "8125de5cd6694071dfa2c0808aa18239d215983f58941d2714d4baf50da0988f",
       "bytes": 1594664,
+      "path": "data/train/p2f/oproofs-s00002-r00010012-n000004-0003-8125de5cd6694071.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "8125de5cd6694071dfa2c0808aa18239d215983f58941d2714d4baf50da0988f"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010012-n000004-0004-32394edc23068402.parquet",
-      "sha256": "32394edc2306840229e64c0fab261ace50e46a96beb150ad2b9dc6b9bf468bf4",
       "bytes": 132270,
+      "path": "data/train/p2f/oproofs-s00002-r00010012-n000004-0004-32394edc23068402.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "32394edc2306840229e64c0fab261ace50e46a96beb150ad2b9dc6b9bf468bf4"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10012",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10013",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10014",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10015"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010012.lean\",\"2cc5a0d7c0d493fd1433884d7b1036e4fabe6a80798328d634a969ca59189ccf\",0,\"lean_workbook_plus_43184\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010013.lean\",\"ac2e372e4721d0210fe8906523c0439893b323dbc417c5822f9f12e9cdbdccaa\",0,\"lean_workbook_plus_22365\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010014.lean\",\"e344bd6c3848dec79fa4aaaebef2544a8194183623d636992aecc7164dd23070\",0,\"max_value_sqrt_xy\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010015.lean\",\"2c6d0ded99e00f7dfe64e6a93af48901ef61614beb68b1e4451a4cf43c6fbd52\",0,\"lean_workbook_plus_80062\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010016-n000004.json b/manifests/batches/oproofs/s00002-r00010016-n000004.json
index b55ee58ca42bd0e1f126730df4035b7c4c9ebe4e..38744ee8a4f614c181ccfd5c733192d0f92f8fe3 100644
--- a/manifests/batches/oproofs/s00002-r00010016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010016-n000004",
   "batch_fingerprint": "57f45e380fec2f0ba465b78b44fe7830be354eac15944b74f4f3079b347b6631",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010016-n000004-0000-1d6075e9fb08e1f5.parquet",
-      "sha256": "1d6075e9fb08e1f549bea341a85a0c81e318dde3e7a55c6c8a4da56aa6286904",
-      "bytes": 227586,
-      "rows": 19,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010017.lean\",\"18dc62a6b62dc8ad30568810d26eb895d8532f84b933ad574a647a402229fb4d\",0,\"lean_workbook_plus_76396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010018.lean\",\"631a5f9a60c7fa5a6da8ef38e557e8851c5a1114e8b2fac432d9ca9f78e2dd94\",0,\"lean_workbook_18274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010019.lean\",\"521a1b2fdbc2c4246244e51a5337668b531fa41809ced06fb0bd381f20e8ee52\",0,\"lean_workbook_plus_77322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227586,
+      "path": "data/train/p27/oproofs-s00002-r00010016-n000004-0000-1d6075e9fb08e1f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1d6075e9fb08e1f549bea341a85a0c81e318dde3e7a55c6c8a4da56aa6286904"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010020-n000004.json b/manifests/batches/oproofs/s00002-r00010020-n000004.json
index 9eb3603ea314686cdca68ed62a07afcad0440776..a36b7ffc77ac8e557c57a8aa30f6f96cfd6d6a6c 100644
--- a/manifests/batches/oproofs/s00002-r00010020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010020-n000004",
   "batch_fingerprint": "3e32b57f31e1beae1d446b6540e099eebcb6505bd456fe0ffa0162cf447c6ca0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010020-n000004-0000-ac0f6eefa3b4041c.parquet",
-      "sha256": "ac0f6eefa3b4041c84676ec8bbad5dcdcdc5a91def74261a55e7c2dc807166e0",
-      "bytes": 177115,
-      "rows": 13,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010020-n000004-0000-f08956544e0cde39.parquet",
-      "sha256": "f08956544e0cde39bc5b050d4d7cd0455bd452b3fd34b20eaf1148560aab4248",
-      "bytes": 78363,
-      "rows": 6,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010021.lean\",\"c7d698792e76247acc6e2eaed280d80667104348711188cc34b91213cd954e05\",0,\"binary_arithmetic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010022.lean\",\"65a383151b925310e1277f62f852fd000c4445d802b81a95bb5a967f3a23bf1b\",0,\"lean_workbook_plus_11117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010023.lean\",\"b60df17d05ee04cd4505b5ac0565a0e65f3139808712df25806bec6695838891\",0,\"lean_workbook_19060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177115,
+      "path": "data/train/p4b/oproofs-s00002-r00010020-n000004-0000-ac0f6eefa3b4041c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ac0f6eefa3b4041c84676ec8bbad5dcdcdc5a91def74261a55e7c2dc807166e0"
+    },
+    {
+      "bytes": 78363,
+      "path": "data/internal_test/p4b/oproofs-s00002-r00010020-n000004-0000-f08956544e0cde39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f08956544e0cde39bc5b050d4d7cd0455bd452b3fd34b20eaf1148560aab4248"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010024-n000004.json b/manifests/batches/oproofs/s00002-r00010024-n000004.json
index 6ea128858a3e4c15e236ddf90196eab051b8fd97..646654cf2b01faf4914578fd1a0ba1b9a6b28fe9 100644
--- a/manifests/batches/oproofs/s00002-r00010024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010024-n000004",
   "batch_fingerprint": "bfabbe34ed2ab24382e79a3ae6451392483c5a286e8e831f85d479dcfeff2252",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010024-n000004-0000-bb6a7102c0e1a418.parquet",
-      "sha256": "bb6a7102c0e1a41838032d027306aa0aaddc33044758282b81db65d8de2ac219",
-      "bytes": 292788,
-      "rows": 23,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10025",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010025.lean\",\"90e2a463e8ebd56695a4b7185ac9a7a7455be10763d6fe902f2fca530d0aa234\",0,\"lean_workbook_11304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010026.lean\",\"21678099e1cee908af0083c446e56272ac5e0ed7ad257d9445d98a55cf39c2ad\",0,\"lean_workbook_plus_32992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010027.lean\",\"478f67251332e9a0e1b13f7144e3c75aef71bb24d20d4a025ff44251a633a0a4\",0,\"lean_workbook_plus_37146\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292788,
+      "path": "data/train/p7c/oproofs-s00002-r00010024-n000004-0000-bb6a7102c0e1a418.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "bb6a7102c0e1a41838032d027306aa0aaddc33044758282b81db65d8de2ac219"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010028-n000004.json b/manifests/batches/oproofs/s00002-r00010028-n000004.json
index ec238c0101319552f1ceaafe47bfd912613cc3b4..9055bdfcfba25f5b69bdb9602c7152c6aee03bd6 100644
--- a/manifests/batches/oproofs/s00002-r00010028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010028-n000004",
   "batch_fingerprint": "9798ebdb3ba97e5e5107984b0278187542081c2a1d1a04bb1f7046dc0dfe277f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010028-n000004-0000-97f6d30188b6f23b.parquet",
-      "sha256": "97f6d30188b6f23b4e24d538fcf820676c72c5e5167d28ceb78cdbc015f66c0c",
-      "bytes": 255661,
-      "rows": 19,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010029.lean\",\"6c5dcdc9de9630d5bb20be7266c1c82e520186ba0d7f694e05bbb649da9e2656\",0,\"lean_workbook_plus_49119\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010030.lean\",\"6863de68828ac9ddccd1cbe2551104c763c7e1f36ed346ea9860575a6cabcb2a\",0,\"lean_workbook_plus_49036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010031.lean\",\"914abcda2d0e282cc5b0026c59c3166583f7f4b4a76aed1116e5c67eb25bed60\",0,\"lean_workbook_plus_26352\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255661,
+      "path": "data/train/pf3/oproofs-s00002-r00010028-n000004-0000-97f6d30188b6f23b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "97f6d30188b6f23b4e24d538fcf820676c72c5e5167d28ceb78cdbc015f66c0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010032-n000004.json b/manifests/batches/oproofs/s00002-r00010032-n000004.json
index dd4d5f3aa15d0c61928c1951503dd36bd12e6704..2be8e544c9b55f53b7aedd5b5d1bb10dfd6607da 100644
--- a/manifests/batches/oproofs/s00002-r00010032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010032-n000004",
   "batch_fingerprint": "d911cfbbe23bf8b05e56eb887c2262d89cdf50d61f5be1a25d723fb225e9f7c4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010032-n000004-0000-da626a0c8498a5e8.parquet",
-      "sha256": "da626a0c8498a5e80bbe34b9f0e888f25787af133ddf9bd0911d63d5af39eb2e",
-      "bytes": 1075356,
-      "rows": 26,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010032-n000004-0000-a9be09debe5b5db6.parquet",
-      "sha256": "a9be09debe5b5db6201385de85ef661bb21356248037980d0983fb7b1df58b4c",
-      "bytes": 100669,
-      "rows": 9,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010033.lean\",\"eab3135777af712304f348f28a281af72353ca89b2b923eccb7340756d0f459c\",0,\"lean_workbook_22799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010034.lean\",\"16bdde3b37db5ddee688d5372574fe2abdf1b48e8d12c93daed073eb0c52196d\",0,\"lean_workbook_plus_8818\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010035.lean\",\"4b991ec72a65623900fb1cf0312550c014684fae48b6eba5efba9a0d8c56968c\",0,\"lean_workbook_plus_13770\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1075356,
+      "path": "data/train/p07/oproofs-s00002-r00010032-n000004-0000-da626a0c8498a5e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "da626a0c8498a5e80bbe34b9f0e888f25787af133ddf9bd0911d63d5af39eb2e"
+    },
+    {
+      "bytes": 100669,
+      "path": "data/internal_test/p07/oproofs-s00002-r00010032-n000004-0000-a9be09debe5b5db6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a9be09debe5b5db6201385de85ef661bb21356248037980d0983fb7b1df58b4c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010036-n000004.json b/manifests/batches/oproofs/s00002-r00010036-n000004.json
index 8088f28ee36f7aa12fd5663bcc7f58e2b652e54c..f182ad4408bae877f9ae41075b094759beabbe1e 100644
--- a/manifests/batches/oproofs/s00002-r00010036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010036-n000004",
   "batch_fingerprint": "92d303ef8fbae73146278fbb383b69af2305d51f26057272d418909cdfa6dcf4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010036-n000004-0000-acfc0eae7d7ffa2e.parquet",
-      "sha256": "acfc0eae7d7ffa2e0c8ef3906d6580a59ff51e4f4ea162720a333f9bd69c94f9",
-      "bytes": 533915,
-      "rows": 44,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010037.lean\",\"616d08f5898e080e5dbff4787e3d8ad6cfa1041894004ba05f7131c1c87408d5\",0,\"lean_workbook_plus_59915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010038.lean\",\"8fbf5b05dc223360513c94de6026ab46ae68be97313fb65166a2fd0ca612efe0\",0,\"sum_greater_than_two\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010039.lean\",\"8065232575a2b8c94786a3bee9e1934e768863a4285efaf15cc31b6a31b0bf6a\",0,\"lean_workbook_35674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533915,
+      "path": "data/train/p0f/oproofs-s00002-r00010036-n000004-0000-acfc0eae7d7ffa2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 44,
+      "sha256": "acfc0eae7d7ffa2e0c8ef3906d6580a59ff51e4f4ea162720a333f9bd69c94f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010040-n000004.json b/manifests/batches/oproofs/s00002-r00010040-n000004.json
index 43a71701405faf695df164023b897aa5c25f00e0..42599d14d3a6886ddf610081aed513b11c344a0d 100644
--- a/manifests/batches/oproofs/s00002-r00010040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010040-n000004",
   "batch_fingerprint": "63332321920defe751d12b9303a2997e6b554344e3a627e1388a7da9ccb47682",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010040-n000004-0000-3a29606013a02c1c.parquet",
-      "sha256": "3a29606013a02c1c08bb7cfe1990d723bff86f592750e072159c3c1a78089dc1",
-      "bytes": 555715,
-      "rows": 17,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010040-n000004-0000-6a85c8de8a763d9c.parquet",
-      "sha256": "6a85c8de8a763d9cba7d43f546a59cd82b970a5571334982ab206e4c8564eb4d",
-      "bytes": 139980,
-      "rows": 4,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10041",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010041.lean\",\"cf26656988785b62737775ed75aeeb67cd890502ae224604f6a65b936bd00b53\",0,\"lean_workbook_45214\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010042.lean\",\"ca77e1f6e15c7087c5904319946b8f1f8685313e7d9cfa89fad51bd28cba1e20\",0,\"lean_workbook_45812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010043.lean\",\"8d453aebaa5ee96d031dd5dd0bd42d8ee44bb9f81d8773f558b3e63bf4c3d00c\",0,\"lean_workbook_plus_56651\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 555715,
+      "path": "data/train/p26/oproofs-s00002-r00010040-n000004-0000-3a29606013a02c1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3a29606013a02c1c08bb7cfe1990d723bff86f592750e072159c3c1a78089dc1"
+    },
+    {
+      "bytes": 139980,
+      "path": "data/dev/p26/oproofs-s00002-r00010040-n000004-0000-6a85c8de8a763d9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a85c8de8a763d9cba7d43f546a59cd82b970a5571334982ab206e4c8564eb4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010044-n000004.json b/manifests/batches/oproofs/s00002-r00010044-n000004.json
index 1d1761e706cd99a87aced512ed453244aaef632c..97f024f950bae92c54af87b5dc3e1169255100cd 100644
--- a/manifests/batches/oproofs/s00002-r00010044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010044-n000004",
   "batch_fingerprint": "1db37044b15419333d9a7148f5530dc2cf43b4066f15fc71827ab5a6e36405e7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010044-n000004-0000-71579e48a2826075.parquet",
-      "sha256": "71579e48a282607585fcf9ac62393bf175430e8f7a576b2a4e81495b9b666b37",
-      "bytes": 115535,
-      "rows": 9,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010044-n000004-0000-5e61630cf205e012.parquet",
-      "sha256": "5e61630cf205e012b9f3edb41711223ee2cf45f896876d7e8a034c19cb00a44e",
-      "bytes": 68714,
-      "rows": 4,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010045.lean\",\"3716e08c2ef1ffe5ff6c1fec77e61496ec2a15a6ed1cb6da99fd44f67ebabf7e\",0,\"lean_workbook_12559\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010046.lean\",\"5d9c8ab63b7d040428263fca89e556278e468b8820cd8ae72edb6d978cc0875f\",0,\"lean_workbook_plus_41690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010047.lean\",\"197e0363e972cc62551cb264c41a482a73d42271246a9df8bd27bac544735a60\",0,\"lean_workbook_plus_40625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115535,
+      "path": "data/train/p23/oproofs-s00002-r00010044-n000004-0000-71579e48a2826075.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "71579e48a282607585fcf9ac62393bf175430e8f7a576b2a4e81495b9b666b37"
+    },
+    {
+      "bytes": 68714,
+      "path": "data/internal_test/p23/oproofs-s00002-r00010044-n000004-0000-5e61630cf205e012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5e61630cf205e012b9f3edb41711223ee2cf45f896876d7e8a034c19cb00a44e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010048-n000004.json b/manifests/batches/oproofs/s00002-r00010048-n000004.json
index a5f0e3e1a76bcabfddbf9bfc99d883c8e822cb43..8105926d52eb19bb0fce34f8d6128a95a2c4f6b7 100644
--- a/manifests/batches/oproofs/s00002-r00010048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010048-n000004",
   "batch_fingerprint": "a658626845159225138bb927b87d0ef16daec84842e02ebf107d65fa85e2d81c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010048-n000004-0000-fc88a8643e2181de.parquet",
-      "sha256": "fc88a8643e2181de2489ab093d049c5e07e5cdd87c1335efb9261fcc91bb70c0",
-      "bytes": 1273739,
-      "rows": 14,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010048-n000004-0000-3d22f5b6589c63a9.parquet",
-      "sha256": "3d22f5b6589c63a9b525785dec9d67fcbb8b040f430fa42a010d49278a5d7762",
-      "bytes": 74868,
-      "rows": 3,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010049.lean\",\"29f75193c93e4fa925d438b3307491be5d8349ffbbb956795526b083dc135248\",0,\"lean_workbook_plus_18727\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010050.lean\",\"09d9c3b42d3215b47168202b9c234fc06660fc663b945fe5507160f7fdf85bd1\",0,\"lean_workbook_plus_66444\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010051.lean\",\"82317068d59557eb0eabfcfcedc1c01b44062ecc0ab6044e760d2b900f86e970\",0,\"lean_workbook_plus_73202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1273739,
+      "path": "data/train/pa4/oproofs-s00002-r00010048-n000004-0000-fc88a8643e2181de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fc88a8643e2181de2489ab093d049c5e07e5cdd87c1335efb9261fcc91bb70c0"
+    },
+    {
+      "bytes": 74868,
+      "path": "data/internal_test/pa4/oproofs-s00002-r00010048-n000004-0000-3d22f5b6589c63a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "3d22f5b6589c63a9b525785dec9d67fcbb8b040f430fa42a010d49278a5d7762"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010052-n000004.json b/manifests/batches/oproofs/s00002-r00010052-n000004.json
index bd9d4e40cc285c8bae4993c50ccd9ec4d40756b9..0ffa73a22cd84a91a11613b9df20672b997460a3 100644
--- a/manifests/batches/oproofs/s00002-r00010052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010052-n000004",
   "batch_fingerprint": "51f0b4aefc96050a9d759c9b3109dc487a1bf6cffb5ca93b3b017b342980c445",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010052-n000004-0000-8e06494c20670bec.parquet",
-      "sha256": "8e06494c20670becc3aa1641e0c11b4ddea86b6c1240e04e5089887b5d8ce5c6",
-      "bytes": 319806,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010053.lean\",\"8ef3c1eca04be04406d4b0334f65d3fbba84cf05981b25ee2f9b7227efcbcf8f\",0,\"lean_workbook_plus_33797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010054.lean\",\"e4c3fffbfb2f3123e3089513696f337e2968cf3fdd835a39f8af9798426d32ed\",0,\"lean_workbook_plus_59672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010055.lean\",\"60a97dceb94582dcef504fb03a87d763c2003658c657674fd5bcc1776fa32773\",0,\"lean_workbook_plus_37226\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319806,
+      "path": "data/train/p3b/oproofs-s00002-r00010052-n000004-0000-8e06494c20670bec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8e06494c20670becc3aa1641e0c11b4ddea86b6c1240e04e5089887b5d8ce5c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010056-n000004.json b/manifests/batches/oproofs/s00002-r00010056-n000004.json
index cd9a810b9cbc3fa7abbeb7a00bc157e8e3f586e5..bcc65ffe589bbe02f0c7b893ce8f82ced8cd2c5d 100644
--- a/manifests/batches/oproofs/s00002-r00010056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010056-n000004",
   "batch_fingerprint": "8822e239141eb9a74caace16b816db2222dd29f10fa077a12d6a9c389e552403",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010056-n000004-0000-33d09bf8d822e5b4.parquet",
-      "sha256": "33d09bf8d822e5b4f536b87e8404768187e76772c586e051f2390cf0dfb15275",
-      "bytes": 141410,
-      "rows": 12,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010056-n000004-0000-5965865865bb169b.parquet",
-      "sha256": "5965865865bb169bb6f28821f620c3e86c350ee4075dbe33a06df10e815c474f",
-      "bytes": 108446,
-      "rows": 3,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010057.lean\",\"24196a7b017a4572426ef412ce445102f382f8e39fc3010c101294ce41779ea0\",0,\"lean_workbook_20416\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010058.lean\",\"db3125ce8c4b2ab031beeb6239d276566c808c085fb15ca5ad0a2e786d20d222\",0,\"lean_workbook_38430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010059.lean\",\"006e8a845fcbddffec54f7e4c52f651d228976f410103d15b5b3378f9602b68e\",0,\"lean_workbook_plus_22921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141410,
+      "path": "data/train/p94/oproofs-s00002-r00010056-n000004-0000-33d09bf8d822e5b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "33d09bf8d822e5b4f536b87e8404768187e76772c586e051f2390cf0dfb15275"
+    },
+    {
+      "bytes": 108446,
+      "path": "data/internal_test/p94/oproofs-s00002-r00010056-n000004-0000-5965865865bb169b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5965865865bb169bb6f28821f620c3e86c350ee4075dbe33a06df10e815c474f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010060-n000004.json b/manifests/batches/oproofs/s00002-r00010060-n000004.json
index 95ca61bf87c36051a19ecaeed9ce0aa198f1b851..ba748ca48b9fba5a52585a233f0564d67ea346f9 100644
--- a/manifests/batches/oproofs/s00002-r00010060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010060-n000004",
   "batch_fingerprint": "24f8165fccbc8dec77234b53e16a858d477a39f39f2dad16bd7d9dda26f596ce",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010060-n000004-0000-94c3c02d3820009d.parquet",
-      "sha256": "94c3c02d3820009d8b54fc796d4aa6bb9138b02711925d098299fc091253080d",
-      "bytes": 289921,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10061",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010061.lean\",\"4461989d34d7622b00ccf712830305405ba16bf6e0014be5efbd69273560b24c\",0,\"lean_workbook_27852\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010062.lean\",\"45035e552244cfa84ee198937f4e1a227fe5f7fd16e938e3d868a1daebb0a319\",0,\"lean_workbook_plus_17778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010063.lean\",\"f87266f2f510eb34362317fe2189152f70bfef980999b0cd389e9b284144b7e3\",0,\"lean_workbook_plus_70201\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289921,
+      "path": "data/train/p46/oproofs-s00002-r00010060-n000004-0000-94c3c02d3820009d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "94c3c02d3820009d8b54fc796d4aa6bb9138b02711925d098299fc091253080d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010064-n000004.json b/manifests/batches/oproofs/s00002-r00010064-n000004.json
index 7ad475e8b8c4a27ffff0c1dd1f0d8fa9cf211d51..8697d58f8bbe525a3524635a07e9885eb641340b 100644
--- a/manifests/batches/oproofs/s00002-r00010064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010064-n000004",
   "batch_fingerprint": "1518854e95eb9dafcdef20c5f7170c7c54e894afad08b4e30f15b4ffdf6228d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010064-n000004-0000-08db16f2f173ace9.parquet",
-      "sha256": "08db16f2f173ace985fac6087482adbc385914200d45cd18a46386400d669be9",
-      "bytes": 471653,
-      "rows": 19,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10065",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010065.lean\",\"77d7dc969d914c358a59cc7821444f332d92ee8507728fd58809b40fae9912f1\",0,\"lean_workbook_plus_45493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010066.lean\",\"7c7805d8d71c0a87eb022a746f56af77da388bc7344788f6d582df6ee8a66e21\",0,\"lean_workbook_plus_42318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010067.lean\",\"44b68d00c46b7017eb6f2f9d9b86d52dc6cdea7cffbf0c4a4824e709c6968e72\",0,\"lean_workbook_28631\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471653,
+      "path": "data/train/p5c/oproofs-s00002-r00010064-n000004-0000-08db16f2f173ace9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "08db16f2f173ace985fac6087482adbc385914200d45cd18a46386400d669be9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010068-n000004.json b/manifests/batches/oproofs/s00002-r00010068-n000004.json
index 93fc5cd9fe40c2a813527ea96c16a790190e47fb..08a01a6801f97704139c0dcd88c314b9b140bc6a 100644
--- a/manifests/batches/oproofs/s00002-r00010068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010068-n000004",
   "batch_fingerprint": "5d81f51ee47ffa368c4c18f3fdef9a11084190a24b85acc917390cc3894f771a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010068-n000004-0000-c3088c50c60a8116.parquet",
-      "sha256": "c3088c50c60a81161aed628518801f911851cb81e1c70767aaf96c90a32850e2",
-      "bytes": 264064,
-      "rows": 16,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010068-n000004-0000-7327f17d987049e3.parquet",
-      "sha256": "7327f17d987049e34ba2795afd8474de15e10d9cb7459beb0f109d6e238ea50d",
-      "bytes": 751687,
-      "rows": 11,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10069",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010069.lean\",\"83c5cb6400ee72cf8ec57fb72837be7430395d88ebb15ed5d8cbcf0059e1ace0\",0,\"lean_workbook_50018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010070.lean\",\"45799e14918e61aa0d111e91fd8fcd65fd231fadc24dc9c5686757dfa101e2c6\",0,\"lean_workbook_plus_54771\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010071.lean\",\"1d2b8a1a7134e54a6b601d84f5f9cd5d5b1ccbf32fe86f9a474a0dbc74d6805c\",0,\"binary_arithmetic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264064,
+      "path": "data/train/p6c/oproofs-s00002-r00010068-n000004-0000-c3088c50c60a8116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c3088c50c60a81161aed628518801f911851cb81e1c70767aaf96c90a32850e2"
+    },
+    {
+      "bytes": 751687,
+      "path": "data/internal_test/p6c/oproofs-s00002-r00010068-n000004-0000-7327f17d987049e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7327f17d987049e34ba2795afd8474de15e10d9cb7459beb0f109d6e238ea50d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010072-n000004.json b/manifests/batches/oproofs/s00002-r00010072-n000004.json
index c28939be37112c8f54eadc8a7af680548a02b6aa..60d0bdbbd4843e980e508ce8d98e2e5d4894295d 100644
--- a/manifests/batches/oproofs/s00002-r00010072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010072-n000004",
   "batch_fingerprint": "ebc9217afec47f1784d2c4b05004ac77f45582c5a6025e26d60ca9d2329020ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010072-n000004-0000-815f8253826cb1a8.parquet",
-      "sha256": "815f8253826cb1a81d4c161282c8d59290ac1d478d829581d014dac8a52b0bf8",
-      "bytes": 125830,
-      "rows": 9,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010072-n000004-0000-f7ac8caf6bd60e72.parquet",
-      "sha256": "f7ac8caf6bd60e727f73a051202b45472d9f2e10f5199dd7fc653f7633ec6874",
-      "bytes": 81382,
-      "rows": 7,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10073",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010073.lean\",\"067ebd59794e885ead6713835455672d8abd504dbe3e2fa4f42fa34bfb036779\",0,\"lean_workbook_19060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010074.lean\",\"aa5175d948b4ee1efd3c1428b66d815142b17ba9e4d76b87bf898a0dd078f542\",0,\"lean_workbook_16432\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010075.lean\",\"46e99f00c6aa5b44758b8779eb079ef2c2763494c6885fe55aaa4576b12483e4\",0,\"lean_workbook_plus_32992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125830,
+      "path": "data/train/p23/oproofs-s00002-r00010072-n000004-0000-815f8253826cb1a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "815f8253826cb1a81d4c161282c8d59290ac1d478d829581d014dac8a52b0bf8"
+    },
+    {
+      "bytes": 81382,
+      "path": "data/internal_test/p23/oproofs-s00002-r00010072-n000004-0000-f7ac8caf6bd60e72.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f7ac8caf6bd60e727f73a051202b45472d9f2e10f5199dd7fc653f7633ec6874"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010076-n000004.json b/manifests/batches/oproofs/s00002-r00010076-n000004.json
index eac798c8408333680fadaf17f929f3fe924fd3da..943151fb9f07dd0622f284a85596bedd4a647b18 100644
--- a/manifests/batches/oproofs/s00002-r00010076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010076-n000004",
   "batch_fingerprint": "6e525abb465d85022c4a6430df6dcd0603cab364c16d246a6150bd5d42005fcf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010076-n000004-0000-58f47e91901d5665.parquet",
-      "sha256": "58f47e91901d5665dd06144255864f28562c5df0470c5411b735e85449bf2b5d",
-      "bytes": 295300,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010077.lean\",\"812fc8923c56c7d62721dc8f4080aac52e6ddf636f44afced7c61e775bef1bf2\",0,\"lean_workbook_plus_82485\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010078.lean\",\"74332cf470aaf62cd8b6d5d5594b40c3d4f410083328e7d2c13b22b14c4665ff\",0,\"lean_workbook_plus_26352\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010079.lean\",\"44864fce042594c48a4312f15f4a1e49393b396411abae470df96a1feabf1e51\",0,\"lean_workbook_plus_18271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295300,
+      "path": "data/train/p73/oproofs-s00002-r00010076-n000004-0000-58f47e91901d5665.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "58f47e91901d5665dd06144255864f28562c5df0470c5411b735e85449bf2b5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010080-n000004.json b/manifests/batches/oproofs/s00002-r00010080-n000004.json
index 82753abbd1bdbfd7d9f6ab494709ba4fba74d997..56b106d48c252d2c8c52b7ba753d48b0b00ff184 100644
--- a/manifests/batches/oproofs/s00002-r00010080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010080-n000004",
   "batch_fingerprint": "546e47bc8c7bae71de833d3004b72074cd6273797fc61a08323b00cfde01e5a8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010080-n000004-0000-44afcfb888ec43e8.parquet",
-      "sha256": "44afcfb888ec43e8bb450b8af9877d26ffe5c1e714e4503af7f8f09d5f082bad",
-      "bytes": 572664,
-      "rows": 26,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010080-n000004-0001-118e0c2016e95232.parquet",
-      "sha256": "118e0c2016e9523213e2e13acb7482a2a93f2360b94e8cead80f12afeb38abdc",
-      "bytes": 251900,
-      "rows": 7,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010081.lean\",\"4508b8ef68f699761de0133ad6b779c3e734b857e4314a2483a0cc9c5283ec9f\",0,\"lean_workbook_plus_49119\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010082.lean\",\"a8767af0426aef7f9cbea0674b97608fd54139dcfd009dace1213e0deb3e2431\",0,\"lean_workbook_plus_70901\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010083.lean\",\"b3c057253e561553bbe710d6954138d023ebd1259c7ef79336ca6a88b987ac0b\",0,\"lean_workbook_plus_8818\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 572664,
+      "path": "data/train/p9c/oproofs-s00002-r00010080-n000004-0000-44afcfb888ec43e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "44afcfb888ec43e8bb450b8af9877d26ffe5c1e714e4503af7f8f09d5f082bad"
+    },
+    {
+      "bytes": 251900,
+      "path": "data/train/p9c/oproofs-s00002-r00010080-n000004-0001-118e0c2016e95232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "118e0c2016e9523213e2e13acb7482a2a93f2360b94e8cead80f12afeb38abdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010084-n000004.json b/manifests/batches/oproofs/s00002-r00010084-n000004.json
index 72ee3e3c44cbf6c7d4a182dc56ea88791f4d8ea4..6e9303ee8b0118efb33d12090207f55a5c0cf4e3 100644
--- a/manifests/batches/oproofs/s00002-r00010084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010084-n000004",
   "batch_fingerprint": "fb81a4371dfbb07ae6fc2020a85eb7f750ceb052efe9686e829ba2f919c27c04",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010084-n000004-0000-b393a74ae185a59c.parquet",
-      "sha256": "b393a74ae185a59cc69b4b29cd8661385921ca01eccfec8ad9e7d0c907f46f10",
-      "bytes": 284897,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010084-n000004-0000-0dd344c1424dbf75.parquet",
-      "sha256": "0dd344c1424dbf7582bb5c6d43eef7aea710735a0578cb4f3db8369d0955090a",
-      "bytes": 65317,
-      "rows": 3,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10085",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010085.lean\",\"2d9fe7dfedd44c19c08b08d62a77fa1fec7097cb60793e9b607afdbce538b272\",0,\"lean_workbook_plus_59915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010086.lean\",\"3ffc0a37e24d2d538e02f41ab266e2f738a8dae13d379046163c2f3340229c7d\",0,\"lean_workbook_plus_31514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010087.lean\",\"3695c93ddc0b3532d79bcab33956cca06d9f9fa7d284945243bdbb9bd2268ce4\",0,\"lean_workbook_plus_53850\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 284897,
+      "path": "data/train/pc1/oproofs-s00002-r00010084-n000004-0000-b393a74ae185a59c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b393a74ae185a59cc69b4b29cd8661385921ca01eccfec8ad9e7d0c907f46f10"
+    },
+    {
+      "bytes": 65317,
+      "path": "data/internal_test/pc1/oproofs-s00002-r00010084-n000004-0000-0dd344c1424dbf75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0dd344c1424dbf7582bb5c6d43eef7aea710735a0578cb4f3db8369d0955090a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010088-n000004.json b/manifests/batches/oproofs/s00002-r00010088-n000004.json
index ef6c7c05d1efa21666c20d3bd5906434291e3e32..ae5e17a416a6a38494acf7354fcf14a4df8c1361 100644
--- a/manifests/batches/oproofs/s00002-r00010088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010088-n000004",
   "batch_fingerprint": "178cada74ae273b985beaf1890c6d6076cf689a081a9810763d35bdf9f54c007",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010088-n000004-0000-72c56bbd926c5b26.parquet",
-      "sha256": "72c56bbd926c5b26eeb64a6b947d042ebcdbaf2d5b302ddaa1d8cb6b13cc8626",
-      "bytes": 398229,
-      "rows": 28,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10089",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010089.lean\",\"5d34e582d9213ce7abd23a62d4fb978d8ab4eed27880c83ba01bebe6c7fb6f69\",0,\"sum_greater_than_two\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010090.lean\",\"14bfd931a4be92b5327eabbd223b8772ea5c4b3a2b22a98f852143f36815703f\",0,\"lean_workbook_plus_71921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010091.lean\",\"f65dac9715e81f948bc3b8026c859cd32ba3ccbb5c36cd20335a2e5bf52658a8\",0,\"lean_workbook_33037\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398229,
+      "path": "data/train/pb6/oproofs-s00002-r00010088-n000004-0000-72c56bbd926c5b26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "72c56bbd926c5b26eeb64a6b947d042ebcdbaf2d5b302ddaa1d8cb6b13cc8626"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010092-n000004.json b/manifests/batches/oproofs/s00002-r00010092-n000004.json
index acc696b2a8a5bf5ed45638fbda627f078a4239be..236bdbf536fa314d3ec82a47a468c212d07526b9 100644
--- a/manifests/batches/oproofs/s00002-r00010092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010092-n000004",
   "batch_fingerprint": "c325d7ea01cde849241092fdc5fa900315d2340b0646a4c5d16f4046c8fc8110",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010092-n000004-0000-e89d1a52b1b122e7.parquet",
-      "sha256": "e89d1a52b1b122e705c75d316bc0ea7b31ce914a2e3381fb636880431472cce9",
-      "bytes": 341915,
-      "rows": 21,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010093.lean\",\"0022dd1dec8509264741fbda4437954312317abbb6412f1cfc162846dc8c08c3\",0,\"lean_workbook_plus_74420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010094.lean\",\"38000b25a428675538f4481935aa6fc8877f3a023339c71bdfd9f58f1586bce8\",0,\"lean_workbook_plus_41690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010095.lean\",\"4071f2ed38288c82d4c1a4c975c9a394a480bdbc54b1ff5ec9f6ded1faa0e56d\",0,\"lean_workbook_plus_40625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341915,
+      "path": "data/train/p3c/oproofs-s00002-r00010092-n000004-0000-e89d1a52b1b122e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "e89d1a52b1b122e705c75d316bc0ea7b31ce914a2e3381fb636880431472cce9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010096-n000004.json b/manifests/batches/oproofs/s00002-r00010096-n000004.json
index a14355e5fbac82a65fdf99c1673e554462c473d7..02a874a7a7d858d72a10c72c1ae4be0b8e510700 100644
--- a/manifests/batches/oproofs/s00002-r00010096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010096-n000004",
   "batch_fingerprint": "c7ce86c851925a6265939c24d5eed0422ce95e15d557bcc1830af557e22e15f8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010096-n000004-0000-fd7440e16c3ce5cc.parquet",
-      "sha256": "fd7440e16c3ce5cc8f92300684d94b258fed91a04d00380f18b0944e136a9073",
-      "bytes": 205029,
-      "rows": 17,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010096-n000004-0000-10d4dac881ca2b01.parquet",
-      "sha256": "10d4dac881ca2b01839fe624086dad3b7f882e5d4a1a57b135c4d065930bd3e3",
-      "bytes": 57223,
-      "rows": 5,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10097",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010097.lean\",\"e7dd7a66692f0f9e032345d34079faabe64216325154706896039227b57d77e7\",0,\"lean_workbook_plus_16686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010098.lean\",\"6d6bffa6c45667b552176d0534eea0e708fc5b4fe9974d9be7ccfb8fff5b77f6\",0,\"lean_workbook_plus_15877\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010099.lean\",\"895d9b06523d789bd303eee3b8ded755f8cd6dd4edf9c2d18ab9ec14d53abed1\",0,\"lean_workbook_plus_73202\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205029,
+      "path": "data/train/paf/oproofs-s00002-r00010096-n000004-0000-fd7440e16c3ce5cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fd7440e16c3ce5cc8f92300684d94b258fed91a04d00380f18b0944e136a9073"
+    },
+    {
+      "bytes": 57223,
+      "path": "data/internal_test/paf/oproofs-s00002-r00010096-n000004-0000-10d4dac881ca2b01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "10d4dac881ca2b01839fe624086dad3b7f882e5d4a1a57b135c4d065930bd3e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010100-n000004.json b/manifests/batches/oproofs/s00002-r00010100-n000004.json
index c47843628d7712ab939cd52604f52b44dafe12d7..7d663c0d4c6b32b53dd413008d0f05da74a5a2ba 100644
--- a/manifests/batches/oproofs/s00002-r00010100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010100-n000004",
   "batch_fingerprint": "b880d3acd7ef7193e0e51b9e984be6826f8a503e66753d7a2ee86760c5189b7f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010100-n000004-0000-711cc4da5bcea9b3.parquet",
-      "sha256": "711cc4da5bcea9b39dd057a064665e2270fd529338b2b977bfbfa2b07db25cfb",
-      "bytes": 163456,
-      "rows": 15,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010100-n000004-0000-90cdeb0740879a1b.parquet",
-      "sha256": "90cdeb0740879a1bc36c0eae9d221bc1e4021e355ef0a31639001e06693e6e2c",
-      "bytes": 82052,
-      "rows": 10,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010101.lean\",\"d2710f27ff4589d77352cb50ac30d5014d58e571d5440abc54fa03eb6c97c88e\",0,\"cyclist_wait_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010102.lean\",\"59b91e7b34cc05a638a4ef4b472c66fbbc5160c87acb5b238fcf8a368851b8b1\",0,\"lean_workbook_4449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010103.lean\",\"cd2ead6eee61ac0b2ba6c9855ccee61cdaf0dadc0721330fd7ca76efde7dfe02\",0,\"lean_workbook_plus_33797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163456,
+      "path": "data/train/pf6/oproofs-s00002-r00010100-n000004-0000-711cc4da5bcea9b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "711cc4da5bcea9b39dd057a064665e2270fd529338b2b977bfbfa2b07db25cfb"
+    },
+    {
+      "bytes": 82052,
+      "path": "data/internal_test/pf6/oproofs-s00002-r00010100-n000004-0000-90cdeb0740879a1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "90cdeb0740879a1bc36c0eae9d221bc1e4021e355ef0a31639001e06693e6e2c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010104-n000004.json b/manifests/batches/oproofs/s00002-r00010104-n000004.json
index ef36d7c45935f11192c508ce3bbf5d63d94954a9..48690cc94b994689bda9de14b238ee42a0328d06 100644
--- a/manifests/batches/oproofs/s00002-r00010104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010104-n000004",
   "batch_fingerprint": "89b6e8b0597cd437f1a78f6f70301ab90d2b39c65b2cdb667c21af7fb6924338",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010104-n000004-0000-1f57cb30b18c0f02.parquet",
-      "sha256": "1f57cb30b18c0f024480c3350fd4f2f12534f1279ad6f9a75ed586dbacf92612",
-      "bytes": 279939,
-      "rows": 16,
-      "revision": "194d5526ed28d6d06749e940e434bce1d8149854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010105.lean\",\"92c1b90ca6d5f372e3003f56742325a4dd234c24d304455946ae8405339384ea\",0,\"lean_workbook_plus_37226\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010106.lean\",\"0f804fdaf51a3e4058c1602fa8625ce4cf78b232c629ed2604fde5c26506a473\",0,\"solution_set_characterization\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010107.lean\",\"0650ea96f752cfa22c9fcd8d9de53ac364fb3a5ee366613b3ca196db9c410be5\",0,\"lean_workbook_28834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279939,
+      "path": "data/train/pe2/oproofs-s00002-r00010104-n000004-0000-1f57cb30b18c0f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "1f57cb30b18c0f024480c3350fd4f2f12534f1279ad6f9a75ed586dbacf92612"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010108-n000004.json b/manifests/batches/oproofs/s00002-r00010108-n000004.json
index 025d60cd34090aab159d9e125386a766711720eb..de1b75a8cf5de877259e34fe543a8092e0e701dc 100644
--- a/manifests/batches/oproofs/s00002-r00010108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010108-n000004",
   "batch_fingerprint": "0545535cccba9c000dda9251b0077641928c5abcdc29a669c3364099bfcc99f5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10108",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10109",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10110",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10111"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010108.lean\",\"e8caa5bd2723bcbb93abac65fa24be0abdc1269b84b09bbf9e977b4c76ce3f50\",0,\"optimal_bridge_path\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010109.lean\",\"2638399a56fed63ab63e64c2537adb03ef9c03693a58789619ff45b61b65090c\",0,\"lean_workbook_plus_14456\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010110.lean\",\"970ecc145480bfe71161919d9eb1a8adce76e4cd9abc508c0570382428dbab4c\",0,\"lean_workbook_plus_55408\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010111.lean\",\"595be1fc92decc5071ddd4799dd561826fdb001b53d3d7e671ec9ddcdb1651f2\",0,\"multiples_six_or_eight_not_both\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010108-n000004-0000-8f39da9c3b87f7db.parquet",
-      "sha256": "8f39da9c3b87f7dbc27cc72e07a2446b3950a8768d3ed65bacc71f47148420cc",
       "bytes": 140888,
+      "path": "data/train/p8a/oproofs-s00002-r00010108-n000004-0000-8f39da9c3b87f7db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "8f39da9c3b87f7dbc27cc72e07a2446b3950a8768d3ed65bacc71f47148420cc"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010108-n000004-0001-e2f8da64c87fbaa8.parquet",
-      "sha256": "e2f8da64c87fbaa849e79ced1e4efa79070f3fee463a9217b6a60b5b796179d9",
       "bytes": 1422207,
+      "path": "data/train/p8a/oproofs-s00002-r00010108-n000004-0001-e2f8da64c87fbaa8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "e2f8da64c87fbaa849e79ced1e4efa79070f3fee463a9217b6a60b5b796179d9"
     },
     {
-      "path": "data/train/oproofs-s00002-r00010108-n000004-0002-ab3274357afec75a.parquet",
-      "sha256": "ab3274357afec75a7fa68d814e8d4faaadd826107f363b30d7c3f93d800ec008",
       "bytes": 195582,
+      "path": "data/train/p8a/oproofs-s00002-r00010108-n000004-0002-ab3274357afec75a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "e92e231cda36b5fe78efc4036437f1208b2b3f7c"
+      "sha256": "ab3274357afec75a7fa68d814e8d4faaadd826107f363b30d7c3f93d800ec008"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10108",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10109",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10110",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10111"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010108.lean\",\"e8caa5bd2723bcbb93abac65fa24be0abdc1269b84b09bbf9e977b4c76ce3f50\",0,\"optimal_bridge_path\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010109.lean\",\"2638399a56fed63ab63e64c2537adb03ef9c03693a58789619ff45b61b65090c\",0,\"lean_workbook_plus_14456\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010110.lean\",\"970ecc145480bfe71161919d9eb1a8adce76e4cd9abc508c0570382428dbab4c\",0,\"lean_workbook_plus_55408\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010111.lean\",\"595be1fc92decc5071ddd4799dd561826fdb001b53d3d7e671ec9ddcdb1651f2\",0,\"multiples_six_or_eight_not_both\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010112-n000004.json b/manifests/batches/oproofs/s00002-r00010112-n000004.json
index 8759ec404b720e5cb071b99483401a777d880ff4..6ea1d5a8ad6fef2c621989b5f883d17a9ac6d5d4 100644
--- a/manifests/batches/oproofs/s00002-r00010112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010112-n000004",
   "batch_fingerprint": "fad58467e14f76fb2b1c91b6268f64e6365154a0284f1e463e5c82b0dd76a6d6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10112",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10113",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10114",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10115"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010112.lean\",\"3c733c5e1e162924c6a6de6243450e973027daefa933e0493e74b666356bc938\",0,\"lean_workbook_20416\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010113.lean\",\"f6ae01580e47e893eb3384b1d1dcfcd6ba619ae9cdb93b344531bf34d7bdf1d3\",0,\"lean_workbook_38430\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010114.lean\",\"18f44d4ce4b5a17667c46f491649788e63c8671f8dbc90d8bb411921cf459076\",0,\"lean_workbook_plus_22921\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010115.lean\",\"da2e2620c04f745070b255fbd25d5ab13be9e05c239f31d6787a68850047c5f6\",0,\"lean_workbook_48509\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010112-n000004-0000-9858a0381a0a3cfb.parquet",
-      "sha256": "9858a0381a0a3cfb1a55c5ffbd42df43d41a4cb1be4c183b89521224d61bec3b",
       "bytes": 94244,
+      "path": "data/train/pf8/oproofs-s00002-r00010112-n000004-0000-9858a0381a0a3cfb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "9858a0381a0a3cfb1a55c5ffbd42df43d41a4cb1be4c183b89521224d61bec3b"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010112-n000004-0000-c1f4e2e9e09cefc7.parquet",
-      "sha256": "c1f4e2e9e09cefc782bbaa18a528838509f5e84c5607d81651789f904ad27d1b",
       "bytes": 111561,
+      "path": "data/dev/pf8/oproofs-s00002-r00010112-n000004-0000-c1f4e2e9e09cefc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "c1f4e2e9e09cefc782bbaa18a528838509f5e84c5607d81651789f904ad27d1b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010112-n000004-0000-f71f54e869066fc7.parquet",
-      "sha256": "f71f54e869066fc7a539fb32cdfbcb1e049058450b838a5b3215a921c0b2f3fd",
       "bytes": 137630,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00010112-n000004-0000-f71f54e869066fc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "f71f54e869066fc7a539fb32cdfbcb1e049058450b838a5b3215a921c0b2f3fd"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10112",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10113",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10114",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10115"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010112.lean\",\"3c733c5e1e162924c6a6de6243450e973027daefa933e0493e74b666356bc938\",0,\"lean_workbook_20416\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010113.lean\",\"f6ae01580e47e893eb3384b1d1dcfcd6ba619ae9cdb93b344531bf34d7bdf1d3\",0,\"lean_workbook_38430\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010114.lean\",\"18f44d4ce4b5a17667c46f491649788e63c8671f8dbc90d8bb411921cf459076\",0,\"lean_workbook_plus_22921\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010115.lean\",\"da2e2620c04f745070b255fbd25d5ab13be9e05c239f31d6787a68850047c5f6\",0,\"lean_workbook_48509\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010116-n000004.json b/manifests/batches/oproofs/s00002-r00010116-n000004.json
index 299344f7b8b544d54d27108e7584f97a9f413f7a..d089dc3f5119612afb94e5af1dbc7ca5e8c6cdae 100644
--- a/manifests/batches/oproofs/s00002-r00010116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010116-n000004",
   "batch_fingerprint": "efb16651b3094e30644b927180c16dd3081cb18c48fa5b3adba75f13c5f1d69b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010116-n000004-0000-001986a3ec25bd0e.parquet",
-      "sha256": "001986a3ec25bd0e8ec00049a216d6c669cf91e0c37a883cebb2db26de3ee769",
-      "bytes": 198632,
-      "rows": 12,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010117.lean\",\"53bbb7ab38d764536ca861ef5253cb2ca4479217dbbdec2785b296479f16bec3\",0,\"lean_workbook_27852\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010118.lean\",\"e16535dc7efe40b06bdd28d74f512bb51848b5dd01c612140aea8df221659800\",0,\"lean_workbook_plus_24595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010119.lean\",\"7c64d3e19c518d5068f06e50d38e3f05ddc680399cbc72ce16f6c6f75bb3a44a\",0,\"lean_workbook_plus_17778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198632,
+      "path": "data/train/paa/oproofs-s00002-r00010116-n000004-0000-001986a3ec25bd0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "001986a3ec25bd0e8ec00049a216d6c669cf91e0c37a883cebb2db26de3ee769"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010120-n000004.json b/manifests/batches/oproofs/s00002-r00010120-n000004.json
index 0c297982b45669ca592113b8831ffa35ac5087a8..37e13d5ce6e85e2874157d7b975dd886849fb402 100644
--- a/manifests/batches/oproofs/s00002-r00010120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010120-n000004",
   "batch_fingerprint": "9b869b94ace5ea8f6efefb4a23073fa4a01af0e3394d76792ba2dbd98aa6d699",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010120-n000004-0000-96cc69385b736e4c.parquet",
-      "sha256": "96cc69385b736e4c584737586e032072096018ab48521482d1ed4c511a1836a9",
-      "bytes": 533859,
-      "rows": 23,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10121",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010121.lean\",\"6452aa0a439064cd0af7f94ac77e116efdf1ea7d1094255d2edb6b03e98bb8a3\",0,\"lean_workbook_plus_45493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010122.lean\",\"1a3b157f39cf180b7cafc4ed046dde97f78f4fd4b23b14c457f538f8f2689d0d\",0,\"lean_workbook_plus_37667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010123.lean\",\"4f1ca85049763e3d791c5957ff16ee41650076c53ae5726e180dcdd84f6ba650\",0,\"lean_workbook_plus_39395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533859,
+      "path": "data/train/p20/oproofs-s00002-r00010120-n000004-0000-96cc69385b736e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "96cc69385b736e4c584737586e032072096018ab48521482d1ed4c511a1836a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010124-n000004.json b/manifests/batches/oproofs/s00002-r00010124-n000004.json
index c4799433eeb066989d90f58231be0a807c850139..c666317397b56cbd45d32ca5e770a4985d30b84a 100644
--- a/manifests/batches/oproofs/s00002-r00010124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010124-n000004",
   "batch_fingerprint": "bb7951d595324654e951c945db033ad6533d15890621a21cde91d8d08c09e060",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010124-n000004-0000-43a73490bf7dc756.parquet",
-      "sha256": "43a73490bf7dc756c40e13dd4a7d4e9418edca2afd214b1475fc82271f2aa348",
-      "bytes": 752890,
-      "rows": 14,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010124-n000004-0001-7d90d7329c65a719.parquet",
-      "sha256": "7d90d7329c65a7196bbe4167c379b1c4fc60230562a939cd5eaf36fe85d16844",
-      "bytes": 311897,
-      "rows": 6,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010125.lean\",\"9ec3b841458ef6636a1369dc1a7d68718bc3b84ac223956bbba806581e9a7d39\",0,\"lean_workbook_28631\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010126.lean\",\"2b356ace75bd32fc7840f248a44100da95d9d4ff056b42bbb076ccc6b2eda5ec\",0,\"lean_workbook_plus_79093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010127.lean\",\"e9440113609c1d0986854c604c36f6af23b52f73e3f843c94df709d214ad0b25\",0,\"lean_workbook_18274\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 752890,
+      "path": "data/train/p8b/oproofs-s00002-r00010124-n000004-0000-43a73490bf7dc756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "43a73490bf7dc756c40e13dd4a7d4e9418edca2afd214b1475fc82271f2aa348"
+    },
+    {
+      "bytes": 311897,
+      "path": "data/train/p8b/oproofs-s00002-r00010124-n000004-0001-7d90d7329c65a719.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7d90d7329c65a7196bbe4167c379b1c4fc60230562a939cd5eaf36fe85d16844"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010128-n000004.json b/manifests/batches/oproofs/s00002-r00010128-n000004.json
index 0195ba2e23720472868aff19e2af40829efbcd11..be51e2ee7c610a22175e2e73e62e1c1a663d0b1b 100644
--- a/manifests/batches/oproofs/s00002-r00010128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010128-n000004",
   "batch_fingerprint": "d856bbbf39a4ba734fba34c8d2ff4a4e4ecc7dcede353a5ddf44d07a4154dc88",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010128-n000004-0000-59faab0ade4b2d1c.parquet",
-      "sha256": "59faab0ade4b2d1c888057492f327e4551fede43696a2d980d03c61e26799479",
-      "bytes": 139994,
-      "rows": 19,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010129.lean\",\"c4ee60c2280fd4f826ce83489a5f37280a0df5ead015c8522c0f2e97aaae79a4\",0,\"lean_workbook_plus_49036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010130.lean\",\"e4691414c5e843b9bc614494e983dc913eaf7528148a923bc4dc0bfd851090c9\",0,\"lean_workbook_plus_32992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010131.lean\",\"41ad1be4f161a47cbb65bb1d4bf32ca9235b9ee059b40c8eb1c45375f93607cc\",0,\"lean_workbook_plus_26352\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139994,
+      "path": "data/train/p51/oproofs-s00002-r00010128-n000004-0000-59faab0ade4b2d1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "59faab0ade4b2d1c888057492f327e4551fede43696a2d980d03c61e26799479"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010132-n000004.json b/manifests/batches/oproofs/s00002-r00010132-n000004.json
index da0a87f6e12761ffb7faecd945e8ecf03e2742f9..1f2432c355bf9c2b220c7101e6d72597a54cb435 100644
--- a/manifests/batches/oproofs/s00002-r00010132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010132-n000004",
   "batch_fingerprint": "52380cf34a89d4f849bdff6b9690f909efb6c75efb251b01f4e20cd1ba05809d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010132-n000004-0000-f0f558e8e0be4935.parquet",
-      "sha256": "f0f558e8e0be49351e3086b43ffc15c2974cca06e764ce10f67ece79e80f2d3a",
-      "bytes": 298509,
-      "rows": 21,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010133.lean\",\"7a0fca4bf1d557ca23a6453f9f19050bf5253717da3b7713d97c4072640b241c\",0,\"lean_workbook_16432\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010134.lean\",\"d5028846fcb1b6158d9a8aa6dc5c13576e9bf7888fe9749fb20dd13c9d6abd52\",0,\"lean_workbook_11304\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010135.lean\",\"5fdbf59797d9a821931f04a3d3fb1ba86566b7b2051431e9feb588f27f51801c\",0,\"quadratic_range_on_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298509,
+      "path": "data/train/pf0/oproofs-s00002-r00010132-n000004-0000-f0f558e8e0be4935.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "f0f558e8e0be49351e3086b43ffc15c2974cca06e764ce10f67ece79e80f2d3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010136-n000004.json b/manifests/batches/oproofs/s00002-r00010136-n000004.json
index 67e8387a9783edc74ac08515cd15289d47a102b0..395b97ad8761da1d94c277a84334b50268a53bd7 100644
--- a/manifests/batches/oproofs/s00002-r00010136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010136-n000004",
   "batch_fingerprint": "0c2d1579f5f173ba5ae9a1916c41067348869eb6f460535d1c0f2f1018fb378e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010136-n000004-0000-1e03f75c3352ad26.parquet",
-      "sha256": "1e03f75c3352ad2641b8918596b34b97604c6a5c45d54155ae0b30d708bf1247",
-      "bytes": 135393,
-      "rows": 9,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010136-n000004-0000-2317ca3d7b1e9c71.parquet",
-      "sha256": "2317ca3d7b1e9c71230ad4277975a58a9e259f1a22ad2adaf8a6fb77d4e2194e",
-      "bytes": 140067,
-      "rows": 10,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010137.lean\",\"a2e41a2889f87855d7958f5c3cef7f3e29598d333478cd8a725f821cd2671908\",0,\"lean_workbook_plus_13770\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010138.lean\",\"12267f7030b61c598d825eda2338bfe9b74f522dd9aa1b8474383b288c944a73\",0,\"lean_workbook_19060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010139.lean\",\"6495171d7e0bcd63cc5f02d64b807ce4f3c70024b36ddd55a00ec709c332845b\",0,\"lean_workbook_35674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135393,
+      "path": "data/train/p44/oproofs-s00002-r00010136-n000004-0000-1e03f75c3352ad26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1e03f75c3352ad2641b8918596b34b97604c6a5c45d54155ae0b30d708bf1247"
+    },
+    {
+      "bytes": 140067,
+      "path": "data/internal_test/p44/oproofs-s00002-r00010136-n000004-0000-2317ca3d7b1e9c71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2317ca3d7b1e9c71230ad4277975a58a9e259f1a22ad2adaf8a6fb77d4e2194e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010140-n000004.json b/manifests/batches/oproofs/s00002-r00010140-n000004.json
index 10a2375df445f6ba69dc0a34c76b320fa6b9fe80..8f8151accbac120ecfdc509f786ccbbcc9a8a15c 100644
--- a/manifests/batches/oproofs/s00002-r00010140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010140-n000004",
   "batch_fingerprint": "315302335054e8e8d00d6925d6e0fc3fd0ce0039b3583799b907e2284061e588",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010140-n000004-0000-8c05062db2965b9a.parquet",
-      "sha256": "8c05062db2965b9a4ded2b0014c3d3ee03b14a30d9eba37e065efc2330d736a3",
-      "bytes": 776722,
-      "rows": 23,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010141.lean\",\"663131a9df485161580f39fee30f6306db2c240090c79e3d2adf3f77378f5ed8\",0,\"lean_workbook_plus_31514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010142.lean\",\"ec07d6f0dbb429a33343b935af123de7200a2d62fb1d276a5be1d83b0a46107d\",0,\"lean_workbook_plus_18271\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010143.lean\",\"c3c450e8ce3fb0f42baf4ea9180f1e1a3dae06d00c5439649b5ea3fa4d8cc17b\",0,\"sum_greater_than_two\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 776722,
+      "path": "data/train/p10/oproofs-s00002-r00010140-n000004-0000-8c05062db2965b9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8c05062db2965b9a4ded2b0014c3d3ee03b14a30d9eba37e065efc2330d736a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010144-n000004.json b/manifests/batches/oproofs/s00002-r00010144-n000004.json
index 1bf5051977fd5e4ff5e910f3a433b99b5cbee931..064429ab4f5e29155f93add8438568d07620735e 100644
--- a/manifests/batches/oproofs/s00002-r00010144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010144-n000004",
   "batch_fingerprint": "a273696b8bd651b43807c625874523c552ecc6e5ed19e7fa0aab2935d0b5fa2e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10144",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10145",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10146",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10147"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010144.lean\",\"f38375db3789c77ecd9105233045038ba8d3d8e98f446268fb6fccf698e4cce7\",0,\"lean_workbook_plus_71921\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010145.lean\",\"45739ef9f967d97a93e05e1fdcfcef7d23c7835d2761979322e8e677f7c6f2b4\",0,\"lean_workbook_plus_18768\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010146.lean\",\"e83ea6a49b3d22fb81088aa599c28edfd7c40e94fd03e9a7b9b61175448cb61e\",0,\"lean_workbook_45812\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010147.lean\",\"fcd681931d415ec8ab8f8eac4027b466b071c4d3186d362506529e49f5d5eecc\",0,\"lean_workbook_plus_71687\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010144-n000004-0000-b164905d458c9d6b.parquet",
-      "sha256": "b164905d458c9d6b718e0afc590c6d129e7e4ef18ab2b1ab3b9247e26165f5a4",
       "bytes": 93495,
+      "path": "data/train/p7e/oproofs-s00002-r00010144-n000004-0000-b164905d458c9d6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "b164905d458c9d6b718e0afc590c6d129e7e4ef18ab2b1ab3b9247e26165f5a4"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010144-n000004-0000-c0f7c03df323bb37.parquet",
-      "sha256": "c0f7c03df323bb372a6b5935d2965c454464158f32e842fb6eb6cbc0f63baa27",
       "bytes": 155494,
+      "path": "data/dev/p7e/oproofs-s00002-r00010144-n000004-0000-c0f7c03df323bb37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "c0f7c03df323bb372a6b5935d2965c454464158f32e842fb6eb6cbc0f63baa27"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010144-n000004-0000-0263f8aa024ea19b.parquet",
-      "sha256": "0263f8aa024ea19b00e5725089aa46c9324090a3d4c341a74909387d67cbd283",
       "bytes": 71452,
+      "path": "data/internal_test/p7e/oproofs-s00002-r00010144-n000004-0000-0263f8aa024ea19b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
+      "sha256": "0263f8aa024ea19b00e5725089aa46c9324090a3d4c341a74909387d67cbd283"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10144",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10145",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10146",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10147"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010144.lean\",\"f38375db3789c77ecd9105233045038ba8d3d8e98f446268fb6fccf698e4cce7\",0,\"lean_workbook_plus_71921\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010145.lean\",\"45739ef9f967d97a93e05e1fdcfcef7d23c7835d2761979322e8e677f7c6f2b4\",0,\"lean_workbook_plus_18768\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010146.lean\",\"e83ea6a49b3d22fb81088aa599c28edfd7c40e94fd03e9a7b9b61175448cb61e\",0,\"lean_workbook_45812\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010147.lean\",\"fcd681931d415ec8ab8f8eac4027b466b071c4d3186d362506529e49f5d5eecc\",0,\"lean_workbook_plus_71687\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010148-n000004.json b/manifests/batches/oproofs/s00002-r00010148-n000004.json
index 3a5123660776e45bafc7500671672b6728f5bf39..b76add4758a8eae32cbca8ba0c1a7b29d557fded 100644
--- a/manifests/batches/oproofs/s00002-r00010148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010148-n000004",
   "batch_fingerprint": "77c68954a7e67c61110a3091af02c562d99c5df0972a0f7971bb7e39b1db040f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010148-n000004-0000-45ad2a662aeb38d6.parquet",
-      "sha256": "45ad2a662aeb38d69f8a436502d4d65274810e3f2819fce0f773c7433fc1b9d5",
-      "bytes": 238680,
-      "rows": 17,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010148-n000004-0000-bdbd4aa892fccee8.parquet",
-      "sha256": "bdbd4aa892fccee8aa5b95f831b65c2e90b414623723121ddc235a01ec13354c",
-      "bytes": 82010,
-      "rows": 5,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010149.lean\",\"0e5c5a16414fc17e3bf89d877b8e42845fd67ac6a32e7b11457f2a650f661f12\",0,\"lean_workbook_plus_74420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010150.lean\",\"a421b4d8096421e9a9e11c2dac9982f6179f5e5939e2dedfab7652a0c6a06e67\",0,\"lean_workbook_plus_56651\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010151.lean\",\"9aab32e022a5fe540737a1b78de6fea896d39f46e5ebf4472ccd26f3e3a72106\",0,\"lean_workbook_plus_40625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238680,
+      "path": "data/train/pee/oproofs-s00002-r00010148-n000004-0000-45ad2a662aeb38d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "45ad2a662aeb38d69f8a436502d4d65274810e3f2819fce0f773c7433fc1b9d5"
+    },
+    {
+      "bytes": 82010,
+      "path": "data/internal_test/pee/oproofs-s00002-r00010148-n000004-0000-bdbd4aa892fccee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bdbd4aa892fccee8aa5b95f831b65c2e90b414623723121ddc235a01ec13354c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010152-n000004.json b/manifests/batches/oproofs/s00002-r00010152-n000004.json
index 86970835dbd279fab22e75450319ef60781ddd91..78e8fc687f57f063b08b0dcce2d1bc208a64b8ca 100644
--- a/manifests/batches/oproofs/s00002-r00010152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010152-n000004",
   "batch_fingerprint": "b2d31bc315d6b3e2904a8acededf595e81c830122795325f920ad8db9ccbbf28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010152-n000004-0000-17f0a6db137ea363.parquet",
-      "sha256": "17f0a6db137ea36302a1a8cb4c051af24e2b8ffc7326d1d9648a0bed9cc1831d",
-      "bytes": 298756,
-      "rows": 19,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010153.lean\",\"c71f9446039bcbbd3102a052ebd14444ce887c8757045b8fe2bbd63650bcf794\",0,\"lean_workbook_plus_41690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010154.lean\",\"0c71dd897faa033ec0586dcab296614aa48806080c3a52405832ce3272912c95\",0,\"lean_workbook_plus_16686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010155.lean\",\"c8330c5ee044434fc38f23f1346755d8c485b88ec5e9b1991018e0f8a263bcbd\",0,\"lean_workbook_plus_15877\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298756,
+      "path": "data/train/pfc/oproofs-s00002-r00010152-n000004-0000-17f0a6db137ea363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "17f0a6db137ea36302a1a8cb4c051af24e2b8ffc7326d1d9648a0bed9cc1831d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010156-n000004.json b/manifests/batches/oproofs/s00002-r00010156-n000004.json
index 12f8dbd95ade75fb8620972bf605224fd1083b3e..1ac33a247c6c73d27bf93dade0c416bea47c2564 100644
--- a/manifests/batches/oproofs/s00002-r00010156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010156-n000004",
   "batch_fingerprint": "dcc9d2ec0c6dff9699badb7782f96c637e716609ad7df3ad5e3289bcc6f80a06",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010156-n000004-0000-dfaeeb80b327c60b.parquet",
-      "sha256": "dfaeeb80b327c60b5c8bc5cc1bd7c6b5d26c9366e428853eff3d92169f8a0cb4",
-      "bytes": 409536,
-      "rows": 27,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010157.lean\",\"48fc9412831c82ae23f575b293a6ac4a90afdf9a494944c70a0a9ff58f102228\",0,\"lean_workbook_plus_18727\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010158.lean\",\"4bb0bd84b2564ef275aad33ed9ae764a8585582e918be4376d6a89dda96e7f89\",0,\"lean_workbook_plus_59672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010159.lean\",\"31b4fe8c36465d1e52856a04d0178671faccb005f6d1a52db4b597cf3d81d992\",0,\"square_max_area_in_triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409536,
+      "path": "data/train/pc3/oproofs-s00002-r00010156-n000004-0000-dfaeeb80b327c60b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "dfaeeb80b327c60b5c8bc5cc1bd7c6b5d26c9366e428853eff3d92169f8a0cb4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010160-n000004.json b/manifests/batches/oproofs/s00002-r00010160-n000004.json
index ef8e440563f69bc45205698bb9a9fd1c6519a1c3..9f119639329954d240e2d444f015cbaf4fb18e8b 100644
--- a/manifests/batches/oproofs/s00002-r00010160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010160-n000004",
   "batch_fingerprint": "f84fc2f02ff8ae3cbdab749036bc87af2c62caae1a91dee922913f1e7e7665af",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010160-n000004-0000-cf30b8bc3120b529.parquet",
-      "sha256": "cf30b8bc3120b529b27ff2d59e09cf04688daa31cef983684d2975020061ffc2",
-      "bytes": 275089,
-      "rows": 20,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010161.lean\",\"b7eedccd7ab3a8ff3881c48a4a3d1f4156d7b18fb4264a3b38d9d0a3d1cacac5\",0,\"lean_workbook_28834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010162.lean\",\"d7aae41b55c10b7a6cb9ecfa7983e082cb74e3d3f5a52c0ef9766df573f71e7b\",0,\"multiples_six_or_eight_not_both\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010163.lean\",\"7178093cd5a2c4e98739289b8361421aee93bcd054659f11b6396d3ebc6cbeeb\",0,\"lean_workbook_20416\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275089,
+      "path": "data/train/p09/oproofs-s00002-r00010160-n000004-0000-cf30b8bc3120b529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cf30b8bc3120b529b27ff2d59e09cf04688daa31cef983684d2975020061ffc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010164-n000004.json b/manifests/batches/oproofs/s00002-r00010164-n000004.json
index 1d3229509c331acc0ed6b6c53501b9d9cfe2fd59..32c604f1cd133fd46010b37c2be83700f8f34d8f 100644
--- a/manifests/batches/oproofs/s00002-r00010164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010164-n000004",
   "batch_fingerprint": "f3359039f88aec30d34d5da1c2039eb8595f4a188f7a4869d27cc2698ff3822b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010164-n000004-0000-e35787d6a0e05aa3.parquet",
-      "sha256": "e35787d6a0e05aa38c0f5fa01671ea632f27d8e91da0dfbf87022398ebbc5f30",
-      "bytes": 123381,
-      "rows": 10,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010164-n000004-0000-58adaa7327576cd1.parquet",
-      "sha256": "58adaa7327576cd19092edb3168d6fd32f24766002181cd2c791825dfd0a8bd2",
-      "bytes": 145568,
-      "rows": 6,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010165.lean\",\"3228089a58f1d768e110b113426b1efadbccb67a8f433bea1fa1f57e9c30239f\",0,\"lean_workbook_38430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010166.lean\",\"83024f952cdf980cfb32559e7c4831c7f50045bfff8af669c9dc85f2625f34e3\",0,\"lean_workbook_27852\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010167.lean\",\"8f14a6cfaa9dcfbf0219c27b99e69577403aa8d5347e672d9d9bf3191d116621\",0,\"lean_workbook_plus_24595\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123381,
+      "path": "data/train/p25/oproofs-s00002-r00010164-n000004-0000-e35787d6a0e05aa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e35787d6a0e05aa38c0f5fa01671ea632f27d8e91da0dfbf87022398ebbc5f30"
+    },
+    {
+      "bytes": 145568,
+      "path": "data/internal_test/p25/oproofs-s00002-r00010164-n000004-0000-58adaa7327576cd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "58adaa7327576cd19092edb3168d6fd32f24766002181cd2c791825dfd0a8bd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010168-n000004.json b/manifests/batches/oproofs/s00002-r00010168-n000004.json
index 7967304ac64f5f13b5b686d9bc66b7b5f505c069..afa147d6a9c0269bcc13c8385c4af4ac87c29e81 100644
--- a/manifests/batches/oproofs/s00002-r00010168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010168-n000004",
   "batch_fingerprint": "01def72bcbe73730cca37a0ee19d4397a12c2dc2958ba65c55eb6a0099a9c9a0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010168-n000004-0000-697c4d359ca1f76f.parquet",
-      "sha256": "697c4d359ca1f76f2e82292f79030baae9e259d01e009a2ffdb9d912a2973b5b",
-      "bytes": 194219,
-      "rows": 13,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010169.lean\",\"416547094aab43cd45b6fa4431f2b568277d82f46f5444b3d1df4113154be6ff\",0,\"lean_workbook_plus_45493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010170.lean\",\"2cd0b06225c6b42d0881e0b46609fe3e23d2c3aa5f36753759b8f877261eac5f\",0,\"lean_workbook_plus_37667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010171.lean\",\"9df075eb1321cbe35258b8b86c8718d56b1ead07dc986ab14187d82459d27c7e\",0,\"lean_workbook_plus_79444\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194219,
+      "path": "data/train/p34/oproofs-s00002-r00010168-n000004-0000-697c4d359ca1f76f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "697c4d359ca1f76f2e82292f79030baae9e259d01e009a2ffdb9d912a2973b5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010172-n000004.json b/manifests/batches/oproofs/s00002-r00010172-n000004.json
index 48f8bb44f1fca4fa9ef12e5b9669038f0c529710..dabe7005c3a5d2622e9aa8ba7d43e1c17c2a8ed4 100644
--- a/manifests/batches/oproofs/s00002-r00010172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010172-n000004",
   "batch_fingerprint": "40b62368116d4be560b215764dbfac6e361a7f6c103757ae0d311dea7c86a582",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010172-n000004-0000-c09cf1a05b1763a2.parquet",
-      "sha256": "c09cf1a05b1763a2ca95e1eb3e8142a04d035e0af75a755ab8dbd1dc1e1f422c",
-      "bytes": 571342,
-      "rows": 12,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010172-n000004-0000-185fd36c5a0d3789.parquet",
-      "sha256": "185fd36c5a0d37898a94373edc93bad69ca2509d1092c0500c0a68b8d288a5a4",
-      "bytes": 64355,
-      "rows": 4,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010173.lean\",\"48609d785a2334990bd2321b9ed51bba18c86b66e34c8c0ca18e31e5b6908bbe\",0,\"lean_workbook_plus_42318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010174.lean\",\"d295bfc0532b92ee778aafc9365715b4867e7c36a7328ba5dc17f3a570a66246\",0,\"sequence_formula_from_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010175.lean\",\"b602b292451d4e5a8e333e1cbee4ba16e4310d3e07358a0b660b7fe5c152e0d4\",0,\"lean_workbook_plus_35234\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 571342,
+      "path": "data/train/pd3/oproofs-s00002-r00010172-n000004-0000-c09cf1a05b1763a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c09cf1a05b1763a2ca95e1eb3e8142a04d035e0af75a755ab8dbd1dc1e1f422c"
+    },
+    {
+      "bytes": 64355,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00010172-n000004-0000-185fd36c5a0d3789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "185fd36c5a0d37898a94373edc93bad69ca2509d1092c0500c0a68b8d288a5a4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010176-n000004.json b/manifests/batches/oproofs/s00002-r00010176-n000004.json
index cfde172d77a6439ae4500af15d4e686bee11ca67..daba1bfaacfa41bd28a9f89e76529d71f8757265 100644
--- a/manifests/batches/oproofs/s00002-r00010176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010176-n000004",
   "batch_fingerprint": "1d274100c03f444a764c57990ea2e88f6b33d998e64099d00a2964fcd89b3d8f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010176-n000004-0000-8a60f8c879a8b63e.parquet",
-      "sha256": "8a60f8c879a8b63e1fc7ebd9d5371facddd82f0487936aff8bb35da30fc348b1",
-      "bytes": 520678,
-      "rows": 25,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010176-n000004-0000-06e4c9bddd789b4e.parquet",
-      "sha256": "06e4c9bddd789b4e59fdcb4663ec1ac14b01b7ae3fc096576a6ecd22602995a0",
-      "bytes": 397195,
-      "rows": 12,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010177.lean\",\"50155b45bc556a64cd690f639027742555386c7dce06d536a2af98b450ead5b3\",0,\"lean_workbook_50018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010178.lean\",\"fdff3b2362a78b9a18eeda6d849d98d558546718a4bfda4dd6b9bd206cbea689\",0,\"lean_workbook_plus_45752\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010179.lean\",\"3b3ceccf99171ccbb5a6569a14d6c5f15227ea3f46bd8095785a190c80b71ecb\",0,\"lean_workbook_plus_54771\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 520678,
+      "path": "data/train/p5c/oproofs-s00002-r00010176-n000004-0000-8a60f8c879a8b63e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "8a60f8c879a8b63e1fc7ebd9d5371facddd82f0487936aff8bb35da30fc348b1"
+    },
+    {
+      "bytes": 397195,
+      "path": "data/internal_test/p5c/oproofs-s00002-r00010176-n000004-0000-06e4c9bddd789b4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "06e4c9bddd789b4e59fdcb4663ec1ac14b01b7ae3fc096576a6ecd22602995a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010180-n000004.json b/manifests/batches/oproofs/s00002-r00010180-n000004.json
index 4036b813f438b861c481692d0828452904db5c42..c4b627c5b4b9c8c7136fbb423e6ee024e5698cb0 100644
--- a/manifests/batches/oproofs/s00002-r00010180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010180-n000004",
   "batch_fingerprint": "49fa7b7aa31b8adabb76952ad5591ef201d84c6f704e417070cfb123a75bf120",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010180-n000004-0000-c92c7798cefe7f54.parquet",
-      "sha256": "c92c7798cefe7f54539caf3bbbd06a9095cb3e0109ba814acd101fc6e94c208e",
-      "bytes": 102722,
-      "rows": 14,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010181.lean\",\"ad0bcb6d21592befbbed03fa4004eeac32b5117a472d1e4a0012bacb89189e8e\",0,\"lean_workbook_18274\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010182.lean\",\"8821c5b75052392bbcaa1a18969d5150f2a0fb33d14768faf74c4761a102a455\",0,\"lean_workbook_plus_49036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010183.lean\",\"b5d0a60f4485104e590edeeb092314742c28c1d77ae09289429cf859e61ce4f6\",0,\"lean_workbook_plus_32992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102722,
+      "path": "data/train/p8a/oproofs-s00002-r00010180-n000004-0000-c92c7798cefe7f54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c92c7798cefe7f54539caf3bbbd06a9095cb3e0109ba814acd101fc6e94c208e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010184-n000004.json b/manifests/batches/oproofs/s00002-r00010184-n000004.json
index b8fb2b1fa584ede8cd3f26217d5e3d4ba7d3f41c..ebac2ffe1a9a6f33c5e609117f9985e23b8c4c8a 100644
--- a/manifests/batches/oproofs/s00002-r00010184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010184-n000004",
   "batch_fingerprint": "26b25d0781fd2c3f95ed492e23304ad1a2bbb7293aec0d6619e1468413ccc63b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010184-n000004-0000-14db64b4210d3dec.parquet",
-      "sha256": "14db64b4210d3dec6f507ba292169ee4fe2f57ea750d8d08e989edabca5d0acf",
-      "bytes": 158459,
-      "rows": 13,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010184-n000004-0000-346aa88dfc7d1ef5.parquet",
-      "sha256": "346aa88dfc7d1ef5ade16425b0cb27ae7871f47456157dfe3dd781b1f7b4483f",
-      "bytes": 61509,
-      "rows": 5,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010185.lean\",\"a7a1bb3fcc5907b207953e8bc2e51c94f1d5392419b44dc8d040e07a3e59e9dc\",0,\"lean_workbook_plus_11731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010186.lean\",\"b3ea3082170a23fcd5521b5f86ba71519e9de277ccd93015bd9d8306f6fcc6bf\",0,\"lean_workbook_plus_13770\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010187.lean\",\"c13e74ed8473c78fcc882d6564f84471f99eb69c92c329b32dc7e37e0c2c25d9\",0,\"quadratic_range_on_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158459,
+      "path": "data/train/p0c/oproofs-s00002-r00010184-n000004-0000-14db64b4210d3dec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "14db64b4210d3dec6f507ba292169ee4fe2f57ea750d8d08e989edabca5d0acf"
+    },
+    {
+      "bytes": 61509,
+      "path": "data/internal_test/p0c/oproofs-s00002-r00010184-n000004-0000-346aa88dfc7d1ef5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "346aa88dfc7d1ef5ade16425b0cb27ae7871f47456157dfe3dd781b1f7b4483f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010188-n000004.json b/manifests/batches/oproofs/s00002-r00010188-n000004.json
index 262c1f0725c822c65ff6ffcd3376da837ff45b6f..eaad4b692664c1df8844eeb2d88373ddf9011b8e 100644
--- a/manifests/batches/oproofs/s00002-r00010188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010188-n000004",
   "batch_fingerprint": "eaad59a35719269e10a557762e30650de937fc096e522440d8956dbaa202e5a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010188-n000004-0000-1b647ec158292d0d.parquet",
-      "sha256": "1b647ec158292d0daa7fb57af5a760fd2bf001e1847aad39cb51d784f8ee690c",
-      "bytes": 123139,
-      "rows": 11,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010188-n000004-0000-9bbd15062d164304.parquet",
-      "sha256": "9bbd15062d164304cf68fb5219d0c5c07e2063db5b3bcce8e6d99a734a14bc29",
-      "bytes": 114104,
-      "rows": 7,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010189.lean\",\"f92dd2ebade494597a797fb38beb64a93e7e868878a9dec6cc4324d4547c642f\",0,\"lean_workbook_19060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010190.lean\",\"c3524f0eee63ccd8e32fb7f26abe0fef43b1d06c96fa8f58d4429c49454a7edf\",0,\"lean_workbook_35674\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010191.lean\",\"4fbd1d07b2b2c3c17657f5fe16141d474e1d6a4d7fc102318391f86154caccf3\",0,\"lean_workbook_plus_71921\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123139,
+      "path": "data/train/pb2/oproofs-s00002-r00010188-n000004-0000-1b647ec158292d0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1b647ec158292d0daa7fb57af5a760fd2bf001e1847aad39cb51d784f8ee690c"
+    },
+    {
+      "bytes": 114104,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00010188-n000004-0000-9bbd15062d164304.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9bbd15062d164304cf68fb5219d0c5c07e2063db5b3bcce8e6d99a734a14bc29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010192-n000004.json b/manifests/batches/oproofs/s00002-r00010192-n000004.json
index 4aa06f44c02580051b9f72e3d8aecde219bf60d0..1761658cde875101cb7d56b894d06d9e08d216f6 100644
--- a/manifests/batches/oproofs/s00002-r00010192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010192-n000004",
   "batch_fingerprint": "59f68bbc39725f20dd27c8824dc0d57e99440f67e115654f69b6d55cb76acba1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010192-n000004-0000-380939c8b2a6ca1b.parquet",
-      "sha256": "380939c8b2a6ca1ba3cd7fca663b8b59dd4caf44f92f5ef1dbd8c2779b34bf61",
-      "bytes": 495384,
-      "rows": 26,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10193",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010193.lean\",\"dc5870f35073afb7861b8d62a1208ed921921dac94162dd0f747b325f6de6b30\",0,\"lean_workbook_plus_18271\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010194.lean\",\"415287f7f5cad6ea31814997895ac39948f8045d85105e7ddf1d62bcf8efb1af\",0,\"lean_workbook_plus_31514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010195.lean\",\"05c3a71fcef61c8fbb0c73eb791c7e61fe66321e27793c57c6bc357c38817890\",0,\"lean_workbook_21990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 495384,
+      "path": "data/train/pca/oproofs-s00002-r00010192-n000004-0000-380939c8b2a6ca1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "380939c8b2a6ca1ba3cd7fca663b8b59dd4caf44f92f5ef1dbd8c2779b34bf61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010196-n000004.json b/manifests/batches/oproofs/s00002-r00010196-n000004.json
index 79dbb4994a4c989f8d4a34c11e8acfa883d33f98..ffd63b9608fac57941185969471bb7496f23bbcf 100644
--- a/manifests/batches/oproofs/s00002-r00010196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010196-n000004",
   "batch_fingerprint": "59e10da94649ced2946798e8df294b6bb3367dbcedc81c8109d7162e7fd7e1d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010196-n000004-0000-7792776aac207aa9.parquet",
-      "sha256": "7792776aac207aa9558d360e79232f157070f5e5c1d0ad87ffb7cc97744c1a07",
-      "bytes": 93751,
-      "rows": 8,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010196-n000004-0000-033e04297ab2b0da.parquet",
-      "sha256": "033e04297ab2b0dae704bd7534ed5d07ad6b5d7a537d98372d6342a5e4894b20",
-      "bytes": 120704,
-      "rows": 13,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10197",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010197.lean\",\"fd8343fcce65c264e4cc9e152afe4e2ff6b2f1a230258472301d6d975a214a2d\",0,\"lean_workbook_plus_71687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010198.lean\",\"ff9bfa0ff02f0084b546dd79b533cde5040b56689557f350139a17f84e631935\",0,\"lean_workbook_12559\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010199.lean\",\"b5293a14377cd690712b8715b807c92c598029a3b388fd8285a2eea822e4666e\",0,\"lean_workbook_plus_40625\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93751,
+      "path": "data/train/p67/oproofs-s00002-r00010196-n000004-0000-7792776aac207aa9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7792776aac207aa9558d360e79232f157070f5e5c1d0ad87ffb7cc97744c1a07"
+    },
+    {
+      "bytes": 120704,
+      "path": "data/internal_test/p67/oproofs-s00002-r00010196-n000004-0000-033e04297ab2b0da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "033e04297ab2b0dae704bd7534ed5d07ad6b5d7a537d98372d6342a5e4894b20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010200-n000004.json b/manifests/batches/oproofs/s00002-r00010200-n000004.json
index 80f99225beb0bffefe30e9790769629b5f8cf0a5..6ad7cdcbcedd19c132e9086f37435ec5811b6d54 100644
--- a/manifests/batches/oproofs/s00002-r00010200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010200-n000004",
   "batch_fingerprint": "18d51b7c9f043a05b037d7aab42dc7052ab86b024749f3918318b7da1e0a6b06",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010200-n000004-0000-a78c5a598d997768.parquet",
-      "sha256": "a78c5a598d997768bd133715a42a2f6d6b8549683f83aec23b900eb5408431c9",
-      "bytes": 303807,
-      "rows": 24,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010200-n000004-0000-8da11b6547a58134.parquet",
-      "sha256": "8da11b6547a58134ef8175248ede71eeb0610f6744f7cdf70209652305cd1300",
-      "bytes": 168970,
-      "rows": 5,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010201.lean\",\"7c3550e34e2ceac281ee564c31b0c8812b8ae5e610170841dedba53226f6c9b5\",0,\"lean_workbook_45812\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010202.lean\",\"c651cc421ade1c8b0532a504c52ae1c8cba5f6f86d96494ffcaac638f6604de9\",0,\"lean_workbook_plus_41690\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010203.lean\",\"e22ea446b502ebca12c235a4f12187c0ae259787bab37e575bf643bd29d2b462\",0,\"lean_workbook_plus_74420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303807,
+      "path": "data/train/p03/oproofs-s00002-r00010200-n000004-0000-a78c5a598d997768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a78c5a598d997768bd133715a42a2f6d6b8549683f83aec23b900eb5408431c9"
+    },
+    {
+      "bytes": 168970,
+      "path": "data/dev/p03/oproofs-s00002-r00010200-n000004-0000-8da11b6547a58134.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8da11b6547a58134ef8175248ede71eeb0610f6744f7cdf70209652305cd1300"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010204-n000004.json b/manifests/batches/oproofs/s00002-r00010204-n000004.json
index 53df72899270388c27f3f447bec0632472eab5ec..6eb14f2adb4f0527205b88ee36180d43b3a264e7 100644
--- a/manifests/batches/oproofs/s00002-r00010204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010204-n000004",
   "batch_fingerprint": "5d8edf71be5a0eff06ea945e96e50a610aadf29bc0912b8a86ead4ea25d93280",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010204-n000004-0000-91f4c6c4e7e46662.parquet",
-      "sha256": "91f4c6c4e7e466622b0970bd197bb19e1667eb44d3cfe20f6dda03b55d52a73c",
-      "bytes": 216640,
-      "rows": 16,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010204-n000004-0000-3571941b1022e279.parquet",
-      "sha256": "3571941b1022e279dcb5cedfa2701cc84d8d3b565944bf59d5da1190baa75b73",
-      "bytes": 59707,
-      "rows": 5,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010205.lean\",\"dac1937ecc32ff8e48294ae77caad3a08761b47a583331671f66c3fa94a24224\",0,\"lean_workbook_37018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010206.lean\",\"7b963540a6d25a7879d1dc2f66b5f9681e7ecd2695c5b08f26fc23ce7d6962ec\",0,\"lean_workbook_plus_15877\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010207.lean\",\"f00a9c123505bd4cc7d10d21d23674b871693d29fef598b31e851e3442b36bcb\",0,\"lean_workbook_plus_70356\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216640,
+      "path": "data/train/pdd/oproofs-s00002-r00010204-n000004-0000-91f4c6c4e7e46662.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "91f4c6c4e7e466622b0970bd197bb19e1667eb44d3cfe20f6dda03b55d52a73c"
+    },
+    {
+      "bytes": 59707,
+      "path": "data/internal_test/pdd/oproofs-s00002-r00010204-n000004-0000-3571941b1022e279.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3571941b1022e279dcb5cedfa2701cc84d8d3b565944bf59d5da1190baa75b73"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010208-n000004.json b/manifests/batches/oproofs/s00002-r00010208-n000004.json
index 562c4bdc6e13d51b53f42ef753894455b7ed73da..103515ea1dd9ec430b21155285b1a1536fe5cc01 100644
--- a/manifests/batches/oproofs/s00002-r00010208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010208-n000004",
   "batch_fingerprint": "538f3b3b87d85ec4bf3781af2608bda48b0c6c96bba7ed8ce2ec6a351fad12a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010208-n000004-0000-d30260b6de60eb09.parquet",
-      "sha256": "d30260b6de60eb09e2232c98524616148387d0adcd9f51e31d80f9217924e1e3",
-      "bytes": 146213,
-      "rows": 17,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10209",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010209.lean\",\"e9e591700fe7c517e01c8c10e7f58cefb0be2f1bf5905ab35de58944a3312a82\",0,\"lean_workbook_plus_59672\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010210.lean\",\"9e7097674041c33a275ba45dca50cd0ae7bca214efc5ba3a32bebc1c3336180a\",0,\"lean_workbook_plus_37226\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010211.lean\",\"df266eb3bdc1fd2b978561931570d6918a348a49b951d59cf940c8219dc2890e\",0,\"lean_workbook_plus_74081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146213,
+      "path": "data/train/p77/oproofs-s00002-r00010208-n000004-0000-d30260b6de60eb09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d30260b6de60eb09e2232c98524616148387d0adcd9f51e31d80f9217924e1e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010212-n000004.json b/manifests/batches/oproofs/s00002-r00010212-n000004.json
index 4f9c2c01e15173471cc1feb95154e8660427dc54..4cb905f842d758cd52ac8c59c9600429b23340d2 100644
--- a/manifests/batches/oproofs/s00002-r00010212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010212-n000004",
   "batch_fingerprint": "db62c9ec96055b9bafff3bbc0467f8d10479796f783cb93b4115dd0af22b80b9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010212-n000004-0000-b57162f717b97c4f.parquet",
-      "sha256": "b57162f717b97c4f33603cd0249b688523b19cad6e96584b7221d53bd86284d0",
-      "bytes": 543451,
-      "rows": 14,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010213.lean\",\"8659073189f6d24c9432c68d8a75e9dd20d2fa7290891383a827a05c7104fe1d\",0,\"lean_workbook_plus_18727\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010214.lean\",\"54d9fd8931dd38350d4a033f35e9bf36cf30b31e8950fd12e8af9e737ef10404\",0,\"lean_workbook_28834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010215.lean\",\"35784324b1025e964b6667ecb5abf281892bf300d24723a308b93af8b64eba3b\",0,\"sprinkler_coverage_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543451,
+      "path": "data/train/p8a/oproofs-s00002-r00010212-n000004-0000-b57162f717b97c4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b57162f717b97c4f33603cd0249b688523b19cad6e96584b7221d53bd86284d0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010216-n000004.json b/manifests/batches/oproofs/s00002-r00010216-n000004.json
index 0c05a61f37182b04ac7057aab83c7f17279e2c39..c92923d7d68c53cd46ebc085080f1f01aeca64f7 100644
--- a/manifests/batches/oproofs/s00002-r00010216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010216-n000004",
   "batch_fingerprint": "f9ca4b3fb05732b58a5d2f2da44e20c10056de35445f61837325b177ea62854d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010216-n000004-0000-31665f409e94a63b.parquet",
-      "sha256": "31665f409e94a63b5e238d18759d4bb6b4d943e54651880dbacdbbc45094ea0e",
-      "bytes": 95521,
-      "rows": 11,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010216-n000004-0000-cac463a28830d3b1.parquet",
-      "sha256": "cac463a28830d3b1a381d9b476b9e76fcd59806055cf233f2e80b96c89d49a5a",
-      "bytes": 57651,
-      "rows": 2,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010217.lean\",\"b50cb96cfd2c2a9f59311da048da57e3faca2543c11a52ff930a347eca3dca6c\",0,\"lean_workbook_plus_22921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010218.lean\",\"5829fb7b3009e82cd9b2805a918badddee9fa246a00470be8e58b22e1564fcd3\",0,\"lean_workbook_38430\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010219.lean\",\"306bb5e458c0534fefa2af97cccbbe83f9d563c434dca47d5a970ea9303ea29f\",0,\"lean_workbook_27852\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95521,
+      "path": "data/train/pf4/oproofs-s00002-r00010216-n000004-0000-31665f409e94a63b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "31665f409e94a63b5e238d18759d4bb6b4d943e54651880dbacdbbc45094ea0e"
+    },
+    {
+      "bytes": 57651,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00010216-n000004-0000-cac463a28830d3b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cac463a28830d3b1a381d9b476b9e76fcd59806055cf233f2e80b96c89d49a5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010220-n000004.json b/manifests/batches/oproofs/s00002-r00010220-n000004.json
index 828d42dd7d4f8f7a0cee43d09003d29e8a776834..fb51a70edb37380adafdc3f63187b2199e186b8c 100644
--- a/manifests/batches/oproofs/s00002-r00010220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010220-n000004",
   "batch_fingerprint": "501c10d4a57899687d69a683df290bc41a77ade9acf50aa9afded7203b5b36f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010220-n000004-0000-f4c64dbd810a35eb.parquet",
-      "sha256": "f4c64dbd810a35eb03a9b488e15b432b7d6dbbbd1d352eb97f31af198c95664d",
-      "bytes": 140090,
-      "rows": 14,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010220-n000004-0000-713bf6891796a786.parquet",
-      "sha256": "713bf6891796a78641b84fd7fec9d5f26b602dd34f67175c2bee7a538b7422b2",
-      "bytes": 121363,
-      "rows": 6,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010221.lean\",\"0eb5c004d23b7a01f2795c92468508c710457187cc31f0a8d1f31be9ab964e3e\",0,\"lean_workbook_plus_17778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010222.lean\",\"2dd0598cae1d852dfcbdf0b194e50c49b47dad5bb8e2ac894d50c17fab749056\",0,\"lean_workbook_48509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010223.lean\",\"3c2f5edbf0b2cb6a4f94f4fd14a608716c52993b8db95ec27fded5f4f62cce73\",0,\"lean_workbook_plus_37667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140090,
+      "path": "data/train/pa7/oproofs-s00002-r00010220-n000004-0000-f4c64dbd810a35eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f4c64dbd810a35eb03a9b488e15b432b7d6dbbbd1d352eb97f31af198c95664d"
+    },
+    {
+      "bytes": 121363,
+      "path": "data/dev/pa7/oproofs-s00002-r00010220-n000004-0000-713bf6891796a786.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "713bf6891796a78641b84fd7fec9d5f26b602dd34f67175c2bee7a538b7422b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010224-n000004.json b/manifests/batches/oproofs/s00002-r00010224-n000004.json
index bd2573f25a810b4dab4b86318ad1da310f6c4831..8c001a7e9cdabd3fa5fe76990220c009de8e9e0c 100644
--- a/manifests/batches/oproofs/s00002-r00010224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010224-n000004",
   "batch_fingerprint": "9049873dca13e8a8845a01930fcdc3d632cbc72ac01eaf8e946031c1f303c33b",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010224-n000004-0000-1c1dbf3fe4d5e397.parquet",
-      "sha256": "1c1dbf3fe4d5e397804dad0277239ea3112ae177c070301e6fd86c8c649a8684",
-      "bytes": 696607,
-      "rows": 25,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10226",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010224.lean\",\"15c376922ae4d21d47274a7255c39b2ce2d9fb8d565bcac7576d786b79815e1f\",0,\"lean_workbook_plus_13462\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010226.lean\",\"24c466bb7859b2f12222c19c63a40e673fce4f1666ad507bbc72d7f2ae7ff1f7\",0,\"lean_workbook_50018\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010227.lean\",\"d12e5f2a0ebe2acf934ca34261c47c7994cdcce22c735dcd0a21eff6bb125e4a\",0,\"lean_workbook_34400\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 696607,
+      "path": "data/train/pa1/oproofs-s00002-r00010224-n000004-0000-1c1dbf3fe4d5e397.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1c1dbf3fe4d5e397804dad0277239ea3112ae177c070301e6fd86c8c649a8684"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010228-n000004.json b/manifests/batches/oproofs/s00002-r00010228-n000004.json
index e74f1a5ea17676026045d290ac382e5c38f0cc7f..90500114d886d882c1a828eabbf617c2fa2c3199 100644
--- a/manifests/batches/oproofs/s00002-r00010228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010228-n000004",
   "batch_fingerprint": "b6f42028ed94d612d3898956696ddc7612481830b9295dfa9fa6ddadb9dbc2f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010228-n000004-0000-24495ef217929d89.parquet",
-      "sha256": "24495ef217929d8965d06bcedecc4f2a510c00d0b4dc134d3dd3b2447580677c",
-      "bytes": 466805,
-      "rows": 13,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010228-n000004-0000-44abedc8426d52ef.parquet",
-      "sha256": "44abedc8426d52efaa0a37bff54f2b8b6a663412978116b14f1f1b76c4cd0230",
-      "bytes": 266933,
-      "rows": 6,
-      "revision": "5639c83deeab7cca812482e6654070eb75db693a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010229.lean\",\"80625ba83967d948f63d6a780f14f0762aeb534a824bcb1fa374c0fef6b45c9d\",0,\"lean_workbook_28631\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010230.lean\",\"b9064d0525d286bd291d662d7849b2d71f48ed59ed1924ec15bbb3917559140e\",0,\"lean_workbook_plus_36826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010231.lean\",\"9727d04fe2859e87321b21691204adc499971955638a4c19e1eb5210ab13598c\",0,\"lean_workbook_plus_78254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 466805,
+      "path": "data/train/p03/oproofs-s00002-r00010228-n000004-0000-24495ef217929d89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "24495ef217929d8965d06bcedecc4f2a510c00d0b4dc134d3dd3b2447580677c"
+    },
+    {
+      "bytes": 266933,
+      "path": "data/dev/p03/oproofs-s00002-r00010228-n000004-0000-44abedc8426d52ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "44abedc8426d52efaa0a37bff54f2b8b6a663412978116b14f1f1b76c4cd0230"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010232-n000004.json b/manifests/batches/oproofs/s00002-r00010232-n000004.json
index 7d44af37827022cae8c8521f028482892456b919..d8476f0470fb5d96f680de3cbcd04bcc436ea5d1 100644
--- a/manifests/batches/oproofs/s00002-r00010232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010232-n000004",
   "batch_fingerprint": "945313d56f8497e28200fe47965802c89c86f2edc9c52096bf49d2a23ea7c3db",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010232-n000004-0000-37cf79fdf784ef67.parquet",
-      "sha256": "37cf79fdf784ef672a83fe17f9ed6f70039e55726f2f24adbf1ffa46571821af",
-      "bytes": 110137,
-      "rows": 11,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010232-n000004-0000-7c5c72c74935015a.parquet",
-      "sha256": "7c5c72c74935015a1cb1efb21c3c19754aa3b7e62f24646b57ce21f8ae9f0bf7",
-      "bytes": 57176,
-      "rows": 4,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10233",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010233.lean\",\"622fe59dd571a3a6129a678ff5cc5a38c18b463b102232be30823fdd76258d02\",0,\"complex_fraction_plus_abs\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010234.lean\",\"b8c55f4d231ad4a12ebb28fad2960010b7db63d5560ef2d579bce2d967d34765\",0,\"lean_workbook_56804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010235.lean\",\"337e32e19adae2abcd05b42bb2dfd9a4d7b280c80dccf87de2564bc659e53962\",0,\"lean_workbook_plus_26799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110137,
+      "path": "data/train/p48/oproofs-s00002-r00010232-n000004-0000-37cf79fdf784ef67.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "37cf79fdf784ef672a83fe17f9ed6f70039e55726f2f24adbf1ffa46571821af"
+    },
+    {
+      "bytes": 57176,
+      "path": "data/internal_test/p48/oproofs-s00002-r00010232-n000004-0000-7c5c72c74935015a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "7c5c72c74935015a1cb1efb21c3c19754aa3b7e62f24646b57ce21f8ae9f0bf7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010236-n000004.json b/manifests/batches/oproofs/s00002-r00010236-n000004.json
index 4ffd0246eb3dc837ea6e6e9c71d033503fdfea03..452ef4f2e8af283c0b363e00798ae85737d0df69 100644
--- a/manifests/batches/oproofs/s00002-r00010236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010236-n000004",
   "batch_fingerprint": "538fa1a9c88618d76aa95126a303d381a7e056b501cd7ee9ee910a41bee391cc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010236-n000004-0000-256f9f13f94b1995.parquet",
-      "sha256": "256f9f13f94b199575edd63b509c74b379e5c2627e5aa2d674dc424fd001d443",
-      "bytes": 211619,
-      "rows": 7,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010236-n000004-0000-4a6962eaa54fa566.parquet",
-      "sha256": "4a6962eaa54fa5660787bd05e855da7f918b39732e4edc8fe9fd31df50087f79",
-      "bytes": 56097,
-      "rows": 3,
-      "revision": "44cbfba820da2b4a974d6dd718a487009bfdbf74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010237.lean\",\"f74ee766f098a624f5c5bd07b56e59bac123e1827eef2d1fe1b6e4277b143fa5\",0,\"lean_workbook_plus_25836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010238.lean\",\"63401466b18c50dbb0c4da0904b584f1282efefd47e968911407496134cb9c96\",0,\"lean_workbook_plus_11889\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010239.lean\",\"e79717383c51f259d808bc041ae5bb4837d3b1d0ffaca99d8c28bd9ef0277263\",0,\"lean_workbook_plus_11111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211619,
+      "path": "data/train/p7e/oproofs-s00002-r00010236-n000004-0000-256f9f13f94b1995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "256f9f13f94b199575edd63b509c74b379e5c2627e5aa2d674dc424fd001d443"
+    },
+    {
+      "bytes": 56097,
+      "path": "data/dev/p7e/oproofs-s00002-r00010236-n000004-0000-4a6962eaa54fa566.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a6962eaa54fa5660787bd05e855da7f918b39732e4edc8fe9fd31df50087f79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010240-n000004.json b/manifests/batches/oproofs/s00002-r00010240-n000004.json
index b4bac2f88a99fcd4cf1e21b317fee6f041eaa375..78fd6262beb09b4484ad17894d4b4ef195d0bffa 100644
--- a/manifests/batches/oproofs/s00002-r00010240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010240-n000004",
   "batch_fingerprint": "ab3180dcc3c0b4791959f503fe1f8fe13dffa9fd2c709052c717d620af1bc4f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010240-n000004-0000-08fa65f95b3b8a9e.parquet",
-      "sha256": "08fa65f95b3b8a9e2c50f80817d9d60847fecf0a7102fc36ea7ee50fcd0b49b5",
-      "bytes": 190917,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010240-n000004-0000-a03ca1c07da9da26.parquet",
-      "sha256": "a03ca1c07da9da267d5c4ab04d93116ebc06d95eed9c823efd84148c653cc776",
-      "bytes": 53596,
-      "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010241.lean\",\"a58ac202956ec064c93008db3df3e7bcf4ea067e534d46ed0c532f1a724b4421\",0,\"lean_workbook_plus_68897\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010242.lean\",\"aeaf8a426f41ff53de883a895f4581489bd84849d5b29382438623a3e0660fe2\",0,\"lean_workbook_plus_14705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010243.lean\",\"6204e6252eb6c4737d160dc84d4b2abf0d4c27723021e96434b97b9b11c2ea65\",0,\"lean_workbook_41645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190917,
+      "path": "data/train/p0e/oproofs-s00002-r00010240-n000004-0000-08fa65f95b3b8a9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "08fa65f95b3b8a9e2c50f80817d9d60847fecf0a7102fc36ea7ee50fcd0b49b5"
+    },
+    {
+      "bytes": 53596,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00010240-n000004-0000-a03ca1c07da9da26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a03ca1c07da9da267d5c4ab04d93116ebc06d95eed9c823efd84148c653cc776"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010244-n000004.json b/manifests/batches/oproofs/s00002-r00010244-n000004.json
index 2b0ffbd71356b00c58ad7882e3adefe57ee6ac57..0657887dbd1c37413c76708417a811161fbc5040 100644
--- a/manifests/batches/oproofs/s00002-r00010244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010244-n000004",
   "batch_fingerprint": "82ce36185fae4a75d224898e3558610c5076e5d60bd82b89cc1eed03d6c2a486",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010244-n000004-0000-33f2d48b7bf259a9.parquet",
-      "sha256": "33f2d48b7bf259a910a16952043cde86c3d71ccddbc5b6b5d1673a89c60bcf15",
-      "bytes": 140370,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010245.lean\",\"24e3afeece8d99d7910c71e9868cbe4f411048fe9d00a6306db74eae63a5642d\",0,\"lean_workbook_plus_77102\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010246.lean\",\"f2a6b8c43f08db77ad2977b40abc9f6a26db7a59bdd9ab28cc28e9c9019ce431\",0,\"lean_workbook_plus_23601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010247.lean\",\"49ff3d80ea4a4e5c1ce61707bc314b091db60c20e31c9530a15768aaa649feac\",0,\"lean_workbook_43966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140370,
+      "path": "data/train/p69/oproofs-s00002-r00010244-n000004-0000-33f2d48b7bf259a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "33f2d48b7bf259a910a16952043cde86c3d71ccddbc5b6b5d1673a89c60bcf15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010248-n000004.json b/manifests/batches/oproofs/s00002-r00010248-n000004.json
index 167c74da60ecd25e08d42be1536011ba3b680ebc..a6c7793544521c96146965a33268a9ccdffc0df3 100644
--- a/manifests/batches/oproofs/s00002-r00010248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010248-n000004",
   "batch_fingerprint": "198368a15c97610e995f02f0da151db3af88b5cb0eafa65ffb6631fc160de72e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010248-n000004-0000-1b913d7dfb3e4d7a.parquet",
-      "sha256": "1b913d7dfb3e4d7aaaa38f117baea4a284b339373f754f044c9f91c27a3b2592",
-      "bytes": 1217659,
-      "rows": 32,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010248-n000004-0001-11b0819b4d7a4220.parquet",
-      "sha256": "11b0819b4d7a422061d5d5e2570abe5959b565c64afee82548f4d8997669718d",
-      "bytes": 120815,
-      "rows": 4,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010249.lean\",\"f7dbb5682d51e653ca6ca937319d21028728ac2e93f4f146f0e53ff51de58800\",0,\"lean_workbook_plus_78611\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010250.lean\",\"ce3d327e5b41694447b73f951940760d665fdf6a0c5debb32ce8e6ac931584d6\",0,\"lean_workbook_plus_72107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010251.lean\",\"12e6a7798bd7ab99ac507c2aede9d202ba5231c29c5b4d00429f469d3697e378\",0,\"lean_workbook_30213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1217659,
+      "path": "data/train/p89/oproofs-s00002-r00010248-n000004-0000-1b913d7dfb3e4d7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "1b913d7dfb3e4d7aaaa38f117baea4a284b339373f754f044c9f91c27a3b2592"
+    },
+    {
+      "bytes": 120815,
+      "path": "data/train/p89/oproofs-s00002-r00010248-n000004-0001-11b0819b4d7a4220.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "11b0819b4d7a422061d5d5e2570abe5959b565c64afee82548f4d8997669718d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010252-n000004.json b/manifests/batches/oproofs/s00002-r00010252-n000004.json
index 14140ff766493d68c7d4bace37287a4b1ca1304d..43fe070df684113457a973967b8458e2a63f72ac 100644
--- a/manifests/batches/oproofs/s00002-r00010252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010252-n000004",
   "batch_fingerprint": "53a5d6f634cc70bda59d7d75c1d33616497e1b5883ebbb638c891c2e3b594c6e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010252-n000004-0000-db92937928387b19.parquet",
-      "sha256": "db92937928387b19093978b6557cddc95d33172fe8f93668908f98f021e58f0a",
-      "bytes": 457960,
-      "rows": 19,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010253.lean\",\"42eeaee7de15d4ac73614fa5a5adfa7c11f0707e5ab9777314a02be624f5aee5\",0,\"polynomial_division_remainder\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010254.lean\",\"c6f2121290218ae7aa6c5a4098b97146a02aabbc483c4335e5b81f7e73ed7f8b\",0,\"lean_workbook_plus_35934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010255.lean\",\"615adee3490f012dfec4b312610d0c640a7f0938ac40d6148e8c348d022ddb33\",0,\"lean_workbook_29259\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 457960,
+      "path": "data/train/paf/oproofs-s00002-r00010252-n000004-0000-db92937928387b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "db92937928387b19093978b6557cddc95d33172fe8f93668908f98f021e58f0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010256-n000004.json b/manifests/batches/oproofs/s00002-r00010256-n000004.json
index c1742c637e6b2060cc900b08ab22f3870f89d7fb..12f188161533bd23dcfee482942a323003efbef0 100644
--- a/manifests/batches/oproofs/s00002-r00010256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010256-n000004",
   "batch_fingerprint": "68cf44e3599a64a6655c6b9d4ec3144bee4eee55442d287a6de831e060f0d6e1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010256-n000004-0000-025db1d1d43cbccf.parquet",
-      "sha256": "025db1d1d43cbccf0978e52e2e3b8a2df144f2f476711475a0594a2dbb00ab09",
-      "bytes": 104021,
-      "rows": 8,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010256-n000004-0000-9999ce4dfe6901ab.parquet",
-      "sha256": "9999ce4dfe6901ab8b86866f1118521a3efa5b90c688e80fc5ad25293768a229",
-      "bytes": 60087,
-      "rows": 4,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010257.lean\",\"8fd576db33c34e68274edd41e7e53104501610d4cd03c6c80f1d822c4ce59c8e\",0,\"lean_workbook_plus_11762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010258.lean\",\"426562882b90028a171797b5664f5081a8e256a53ab5885dd9c645c837959fd2\",0,\"lean_workbook_plus_48514\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010259.lean\",\"90ddff05275566abaa4a9b03a3a932640bac59b54ef6d8fb8d56f227dbd536b5\",0,\"lean_workbook_plus_82760\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104021,
+      "path": "data/train/p94/oproofs-s00002-r00010256-n000004-0000-025db1d1d43cbccf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "025db1d1d43cbccf0978e52e2e3b8a2df144f2f476711475a0594a2dbb00ab09"
+    },
+    {
+      "bytes": 60087,
+      "path": "data/internal_test/p94/oproofs-s00002-r00010256-n000004-0000-9999ce4dfe6901ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "9999ce4dfe6901ab8b86866f1118521a3efa5b90c688e80fc5ad25293768a229"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010260-n000004.json b/manifests/batches/oproofs/s00002-r00010260-n000004.json
index c70b1260db0a7366ed6180cb8f707fa25cbc9285..389bf408c1c4f17be529280ae71166590dbd0486 100644
--- a/manifests/batches/oproofs/s00002-r00010260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010260-n000004",
   "batch_fingerprint": "f0f6caf4f6c1181167f5e087820223e3393c07b27361d31df8aa5ca7f9d439f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010260-n000004-0000-a420c402b03cbac5.parquet",
-      "sha256": "a420c402b03cbac59f5b5af37d42bd1e04c28a8b3cc3a4e730af6a585f6a1af8",
-      "bytes": 85246,
-      "rows": 12,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010260-n000004-0000-82b13a93b1cab5dd.parquet",
-      "sha256": "82b13a93b1cab5dd1fb0f6fc489c43a2c778bd7bfd00943f6e0c0f319e6bba99",
-      "bytes": 77634,
-      "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010261.lean\",\"7df15a912c2b88adbfe04c8f6938f0cc5d88340e2420f72cf3d798cb92860a3c\",0,\"lean_workbook_43933\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010262.lean\",\"535e8ec6f22f9a1c3337cfa37d1f6c5f42ad304c07fbfae377ceeb4156834515\",0,\"lean_workbook_plus_35892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010263.lean\",\"dc3354498844e32faf27dc9fdae73aad688483a9935282f6788c40d3c4414153\",0,\"lean_workbook_plus_21257\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85246,
+      "path": "data/train/p1d/oproofs-s00002-r00010260-n000004-0000-a420c402b03cbac5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a420c402b03cbac59f5b5af37d42bd1e04c28a8b3cc3a4e730af6a585f6a1af8"
+    },
+    {
+      "bytes": 77634,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00010260-n000004-0000-82b13a93b1cab5dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "82b13a93b1cab5dd1fb0f6fc489c43a2c778bd7bfd00943f6e0c0f319e6bba99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010264-n000004.json b/manifests/batches/oproofs/s00002-r00010264-n000004.json
index 2e47ff158fb0d77355fef0ec8e6366bdd021b13a..d3b1a045b43114c12ecdd3e2c89db022c923bd4d 100644
--- a/manifests/batches/oproofs/s00002-r00010264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010264-n000004",
   "batch_fingerprint": "270e4fd3227eb74b3bd237bec4a17653e3712545e02eab0363348eb5f661c889",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010264-n000004-0000-f3cfc3002658bce3.parquet",
-      "sha256": "f3cfc3002658bce35d9db14bed75b2070005ef34d9b8d9e0ac764290110de49f",
-      "bytes": 187170,
-      "rows": 19,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10265",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010265.lean\",\"3667d258f5c7e957b68cf150f0dc4216901686abe0f30329c0f10aac00b97011\",0,\"lean_workbook_plus_79420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010266.lean\",\"c94d0c488a812b6a3de35b1c44e025cd4c9be78713a5481eaa7565eb9658f9d3\",0,\"lean_workbook_33389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010267.lean\",\"fafef2ec95de38fe702583bb0ef23b41d1905f26a0f333ee5fee263f8681ed6b\",0,\"lean_workbook_plus_74449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187170,
+      "path": "data/train/p03/oproofs-s00002-r00010264-n000004-0000-f3cfc3002658bce3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "f3cfc3002658bce35d9db14bed75b2070005ef34d9b8d9e0ac764290110de49f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010268-n000004.json b/manifests/batches/oproofs/s00002-r00010268-n000004.json
index dd44077daf9caaef6583bf0b3be303883ed7b19e..4dff96392397631149263abe6be9157a2089cb45 100644
--- a/manifests/batches/oproofs/s00002-r00010268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010268-n000004",
   "batch_fingerprint": "c2f0efe7e236c0e31af1a7dd24b42e20bca766b8a9e60e6e44653827d217c7a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010268-n000004-0000-ef13d23b2965db70.parquet",
-      "sha256": "ef13d23b2965db70b8c696b96d79bb88096a8e0b7a8a4832376af74493f2ff66",
-      "bytes": 355772,
-      "rows": 20,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010269.lean\",\"cd82973ddb980f35ca8459447529293096746882518640bd47ac475478ad217c\",0,\"lean_workbook_16639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010270.lean\",\"8e36d2ba7dfcc00cc971cfab7c858c93fae4d2217691f1f221aff95809920275\",0,\"lean_workbook_plus_76155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010271.lean\",\"73ceca1544dd3e49b0ffe3b2079481a1d1bb8ee12d99ea1bbe1f2474d83dc902\",0,\"lean_workbook_plus_13421\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355772,
+      "path": "data/train/p55/oproofs-s00002-r00010268-n000004-0000-ef13d23b2965db70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ef13d23b2965db70b8c696b96d79bb88096a8e0b7a8a4832376af74493f2ff66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010272-n000004.json b/manifests/batches/oproofs/s00002-r00010272-n000004.json
index 971753d47c0b6dd8eeaa0190c32f164ec58fe887..2ca23be8c04b8e5d9ffcdc33c10a7a59a52a714f 100644
--- a/manifests/batches/oproofs/s00002-r00010272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010272-n000004",
   "batch_fingerprint": "78eb0e21845b5faef7bec80104daa699462c135a3655df73e1f5d026473a3bf7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10272",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10273",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10274",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10275"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010272.lean\",\"d9181b2b31a695f6deff71707a6fa17ef61c59273a3762d86130320a16fca082\",0,\"lean_workbook_plus_36930\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010273.lean\",\"bb5911330c61d8005cb9aaa7af655092dfb8a1f0903c06d209fbaf043aa58755\",0,\"lean_workbook_plus_69975\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010274.lean\",\"93a5cec1f75d97fa27b9ab56b2d630980ddf4e75ea9debfa98b9f2b5f5237ebd\",0,\"lean_workbook_34998\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010275.lean\",\"eeb3f03469bfeb6b6fac2fb43f301f8e88c37adf3ef1c095d2f9ade1c0a83e1e\",0,\"lean_workbook_plus_4911\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010272-n000004-0000-854cbf4e0cb3897f.parquet",
-      "sha256": "854cbf4e0cb3897fd849464351c6ae58c0e39e0ddff3659a9db822b446e4e6a4",
       "bytes": 150205,
+      "path": "data/train/pd9/oproofs-s00002-r00010272-n000004-0000-854cbf4e0cb3897f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "854cbf4e0cb3897fd849464351c6ae58c0e39e0ddff3659a9db822b446e4e6a4"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010272-n000004-0000-5590fd5f73c48daf.parquet",
-      "sha256": "5590fd5f73c48daf3b6f6bbc91e67b66a92b5d9c67e8eeaf63b2976039762736",
       "bytes": 41540,
+      "path": "data/dev/pd9/oproofs-s00002-r00010272-n000004-0000-5590fd5f73c48daf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "5590fd5f73c48daf3b6f6bbc91e67b66a92b5d9c67e8eeaf63b2976039762736"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010272-n000004-0000-efe0ca5004cc1eb4.parquet",
-      "sha256": "efe0ca5004cc1eb4471a2410ff730256092d826a31776f1854f2bc233507ac3b",
       "bytes": 41525,
+      "path": "data/internal_test/pd9/oproofs-s00002-r00010272-n000004-0000-efe0ca5004cc1eb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "efe0ca5004cc1eb4471a2410ff730256092d826a31776f1854f2bc233507ac3b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10272",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10273",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10274",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10275"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010272.lean\",\"d9181b2b31a695f6deff71707a6fa17ef61c59273a3762d86130320a16fca082\",0,\"lean_workbook_plus_36930\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010273.lean\",\"bb5911330c61d8005cb9aaa7af655092dfb8a1f0903c06d209fbaf043aa58755\",0,\"lean_workbook_plus_69975\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010274.lean\",\"93a5cec1f75d97fa27b9ab56b2d630980ddf4e75ea9debfa98b9f2b5f5237ebd\",0,\"lean_workbook_34998\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010275.lean\",\"eeb3f03469bfeb6b6fac2fb43f301f8e88c37adf3ef1c095d2f9ade1c0a83e1e\",0,\"lean_workbook_plus_4911\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010276-n000004.json b/manifests/batches/oproofs/s00002-r00010276-n000004.json
index f7e3497b61dceb2d3d53866ad96671c98a7c5cd5..03c31b9a8d88c8f3c57e158b4c8a38400cbd37c0 100644
--- a/manifests/batches/oproofs/s00002-r00010276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010276-n000004",
   "batch_fingerprint": "735ebfe4bcb1eeb70820bca63cdb85dbbabbb33a156282a52911f81fb21bad41",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010276-n000004-0000-f5dc279a6ee12238.parquet",
-      "sha256": "f5dc279a6ee12238b198cd397c69c7d62e995ce261aa6fc730e6d08782207557",
-      "bytes": 756603,
-      "rows": 13,
-      "revision": "e9b09addf76e1a9d4cc35f52d4ff73cdb3880d7f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010276-n000004-0001-09037061e2e2c188.parquet",
-      "sha256": "09037061e2e2c1884b9b5f27575e4e77a1c9ac1f2816fe536936029da65926b1",
-      "bytes": 353083,
-      "rows": 4,
-      "revision": "e9b09addf76e1a9d4cc35f52d4ff73cdb3880d7f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010277.lean\",\"fe149915e37267a7f09c4b0b0306493c106f68c4529e4d61de494245056e1c60\",0,\"lean_workbook_plus_19707\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010278.lean\",\"4877b6f0b9b097d7c54187cc48feff2dd723ee44eb27f9906c08568e52dfc040\",0,\"lean_workbook_plus_27834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010279.lean\",\"da4c2fa69b7a6fd63820cf8d38df51aa2146789c2cfaa7e55016ce95b19d4af5\",0,\"lean_workbook_30082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 756603,
+      "path": "data/train/p42/oproofs-s00002-r00010276-n000004-0000-f5dc279a6ee12238.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f5dc279a6ee12238b198cd397c69c7d62e995ce261aa6fc730e6d08782207557"
+    },
+    {
+      "bytes": 353083,
+      "path": "data/train/p42/oproofs-s00002-r00010276-n000004-0001-09037061e2e2c188.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "09037061e2e2c1884b9b5f27575e4e77a1c9ac1f2816fe536936029da65926b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010280-n000004.json b/manifests/batches/oproofs/s00002-r00010280-n000004.json
index 7762d088cd989cf2ffe55de96e1ce210a2dc1f25..6b3db571c5898e7207ba30c6a1f45fac229a3f47 100644
--- a/manifests/batches/oproofs/s00002-r00010280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010280-n000004",
   "batch_fingerprint": "ad86f1facf8e483f94bcc599e7d66216a450e25242283ca89afde0043d27b2fd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010280-n000004-0000-9b63b2ce4094a5f8.parquet",
-      "sha256": "9b63b2ce4094a5f8a6665450a88c4c36818d81b3c2d468458a0089bf1104d04f",
-      "bytes": 140382,
-      "rows": 16,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010281.lean\",\"1147d01f124a2b6b56f7c5f671b96056e5d699b6688acb4e0000e2a0c2243aaa\",0,\"lean_workbook_plus_13850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010282.lean\",\"db29c6a79fc2b2a3d1378fbe5c81a46c8801630519a98eff736f56d9aa8268a8\",0,\"lean_workbook_plus_17824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010283.lean\",\"e0589081bc3a024a356ddd78ae0299ae25e2e91cf2b968ba1e893a753d7d81c6\",0,\"lean_workbook_plus_35061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140382,
+      "path": "data/train/pd3/oproofs-s00002-r00010280-n000004-0000-9b63b2ce4094a5f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9b63b2ce4094a5f8a6665450a88c4c36818d81b3c2d468458a0089bf1104d04f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010284-n000004.json b/manifests/batches/oproofs/s00002-r00010284-n000004.json
index 6a64ecf83405acd2981848bae32a15c89438d597..85d637bdf16374d247745c1ae0de9ccafb623f17 100644
--- a/manifests/batches/oproofs/s00002-r00010284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010284-n000004",
   "batch_fingerprint": "22ed4d30e0099d07a16b973759fa4eb4f43d3c5c144c8892bf5e2d10eda73423",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010284-n000004-0000-8714743c7f66bd57.parquet",
-      "sha256": "8714743c7f66bd572cc79ab2edfe8d303a0bd971eba3ab307de4d67ba170182c",
-      "bytes": 109364,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010285.lean\",\"8c2da18a416a3e061bf85e2369edac47302de714ad7bb591264e67211ffc50d3\",0,\"lean_workbook_plus_8674\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010286.lean\",\"02401ee954cf63840b5c8526e14f53282c73b6a1044ccd3a7af4c0534bf71e58\",0,\"lean_workbook_plus_39234\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010287.lean\",\"c8ecd3ebebdae7653902089c07bfec5952cf81de8e1b2e9f0f7eb5d72291f654\",0,\"lean_workbook_16193\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109364,
+      "path": "data/train/pa9/oproofs-s00002-r00010284-n000004-0000-8714743c7f66bd57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8714743c7f66bd572cc79ab2edfe8d303a0bd971eba3ab307de4d67ba170182c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010288-n000004.json b/manifests/batches/oproofs/s00002-r00010288-n000004.json
index 2bf3e41db38d64a680f6166c20291a7e7f8f4057..9938576874843524e8d86ec5d5f73088c1afe6da 100644
--- a/manifests/batches/oproofs/s00002-r00010288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010288-n000004",
   "batch_fingerprint": "9e43f93ca82fea050d4a28889b4f8a84f37df8039f0759732d27085e084fe6e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010288-n000004-0000-c00549309dac7a7b.parquet",
-      "sha256": "c00549309dac7a7b780014884801a375fec9c2b670cb38e111ef9f5cda3cbeff",
-      "bytes": 571093,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010289.lean\",\"db3c4b83614d76570ad149f0e72db4814e541ddae737cdde2b34856f49219474\",0,\"lean_workbook_plus_74466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010290.lean\",\"af0a5fd1c8e672c7ab0991f9203676790aa9d2c7e4bdb8a998af071245ae6283\",0,\"lean_workbook_plus_79158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010291.lean\",\"6fd4b52668a1dff30bc256a11bf962e2cb19b444291797a73d00503369e9a8d1\",0,\"lean_workbook_plus_6630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 571093,
+      "path": "data/train/p8c/oproofs-s00002-r00010288-n000004-0000-c00549309dac7a7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c00549309dac7a7b780014884801a375fec9c2b670cb38e111ef9f5cda3cbeff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010292-n000004.json b/manifests/batches/oproofs/s00002-r00010292-n000004.json
index eda324b4453c6b504393100c3c695cb549a6d9a5..3e0896c664ffef5bfab372ee3e3db8595dee6423 100644
--- a/manifests/batches/oproofs/s00002-r00010292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010292-n000004",
   "batch_fingerprint": "2f7755a21d401d27a61ef93f364d5f0619d1c665a6021aca483f98276bd27050",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010292-n000004-0000-d62d49645b71cb75.parquet",
-      "sha256": "d62d49645b71cb75e4695abfaf62bc2b6a85e93ee4049a2812ca44b087d54970",
-      "bytes": 132579,
-      "rows": 12,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010292-n000004-0000-e8c7fd55e523de59.parquet",
-      "sha256": "e8c7fd55e523de599d9fd58c46bbeed0c480872d8daa98537959887661c0672c",
-      "bytes": 58640,
-      "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10293",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010293.lean\",\"3d2becc770c2a1e6d381d2f0f04af6f4faa7294789806dc2b49a996d917a5030\",0,\"lean_workbook_plus_78254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010294.lean\",\"5159a1ac70e22f78631665a27405ee33d1430642e5e881a6a8ee596685b0661d\",0,\"complex_fraction_plus_abs\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010295.lean\",\"0e1f7a630ab8ad54e37411cdc52f5173e71c4d9334c1e83c9698df2499c456b4\",0,\"lean_workbook_56804\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132579,
+      "path": "data/train/ped/oproofs-s00002-r00010292-n000004-0000-d62d49645b71cb75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "d62d49645b71cb75e4695abfaf62bc2b6a85e93ee4049a2812ca44b087d54970"
+    },
+    {
+      "bytes": 58640,
+      "path": "data/internal_test/ped/oproofs-s00002-r00010292-n000004-0000-e8c7fd55e523de59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e8c7fd55e523de599d9fd58c46bbeed0c480872d8daa98537959887661c0672c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010296-n000004.json b/manifests/batches/oproofs/s00002-r00010296-n000004.json
index 1f0aede381719cc115ff6fa03844032275a533e3..4abc4e98bd6c89c09ca56a5e47e871630ebf107f 100644
--- a/manifests/batches/oproofs/s00002-r00010296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010296-n000004",
   "batch_fingerprint": "5c7688d8f6ec658a11e8a66e6ebc3a73592686dcd45698932fedd1ae7a953e5b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010296-n000004-0000-3c14fe58cf23bdbd.parquet",
-      "sha256": "3c14fe58cf23bdbd95bb5df8828f63ed1a40baba80249f1cb9ab8b3fd67c9e6d",
-      "bytes": 232496,
-      "rows": 21,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010296-n000004-0000-a7307e3c6cda48b1.parquet",
-      "sha256": "a7307e3c6cda48b1023d1459098bfdacaeeaf694884331eb3343c966c1647cbb",
-      "bytes": 55963,
-      "rows": 3,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10297",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010297.lean\",\"0b4182dc7ba99c35aba564cec3f4150bec1625d030390f331b9b6211bf3ec98f\",0,\"lean_workbook_plus_25836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010298.lean\",\"26225fe93bd9febef411c600efc00dd6338d7516dbf69438f19982aa415bfd12\",0,\"lean_workbook_plus_79200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010299.lean\",\"6a53143a88e2771329335001914651cdfb482d17dde131f61c6852da2069f663\",0,\"lean_workbook_plus_11889\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232496,
+      "path": "data/train/peb/oproofs-s00002-r00010296-n000004-0000-3c14fe58cf23bdbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "3c14fe58cf23bdbd95bb5df8828f63ed1a40baba80249f1cb9ab8b3fd67c9e6d"
+    },
+    {
+      "bytes": 55963,
+      "path": "data/dev/peb/oproofs-s00002-r00010296-n000004-0000-a7307e3c6cda48b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a7307e3c6cda48b1023d1459098bfdacaeeaf694884331eb3343c966c1647cbb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010300-n000004.json b/manifests/batches/oproofs/s00002-r00010300-n000004.json
index 6b10d7a11c93a2ea3fae104c09d1a4680c115392..cb219f94c0d2d81146bc5d6d7ea559b43ee03fd1 100644
--- a/manifests/batches/oproofs/s00002-r00010300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010300-n000004",
   "batch_fingerprint": "aa63a5c771a47b7edbd784583b38504e3fdc313cf834beeb5c7ec388923dfc2a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010300-n000004-0000-93393b6d783fc918.parquet",
-      "sha256": "93393b6d783fc918f6235ad60fd11f695dffbc689fa4e42b3dc509d7ecbbc55b",
-      "bytes": 445349,
-      "rows": 26,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010300-n000004-0000-df0574ea0f5ca584.parquet",
-      "sha256": "df0574ea0f5ca58446478486ae8adfe5af5c5851e77a6f63f9a4033c7ac8abb1",
-      "bytes": 48102,
-      "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10301",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010301.lean\",\"c4eb85523e320e9000decb2b4bd57617de5f814fe3a6ea47e563d7ef75f4fb62\",0,\"lean_workbook_39145\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010302.lean\",\"f2363e876f14c159edcc08b951edc4d5fa0c9659f4896adcc7dbc205b9e766de\",0,\"lean_workbook_plus_69581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010303.lean\",\"8f6493779ab74ce9267e317edab2d1e28b71020dd4bae8b0a69c28f5caf80ed4\",0,\"lean_workbook_plus_53203\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 445349,
+      "path": "data/train/p9c/oproofs-s00002-r00010300-n000004-0000-93393b6d783fc918.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "93393b6d783fc918f6235ad60fd11f695dffbc689fa4e42b3dc509d7ecbbc55b"
+    },
+    {
+      "bytes": 48102,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00010300-n000004-0000-df0574ea0f5ca584.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "df0574ea0f5ca58446478486ae8adfe5af5c5851e77a6f63f9a4033c7ac8abb1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010304-n000004.json b/manifests/batches/oproofs/s00002-r00010304-n000004.json
index 636f948ecdb6d8045bc86abee7366c2863766988..39085e4617534cf83c9c30406a0bec38d5f861f4 100644
--- a/manifests/batches/oproofs/s00002-r00010304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010304-n000004",
   "batch_fingerprint": "403f4c0629bd36f8a0de7cde52c01a27dd82794c477e90d3b08eea2348dea547",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010304-n000004-0000-b64006c2e560f468.parquet",
-      "sha256": "b64006c2e560f46895b44a680405e5e1f00e467ad590f408212a11b5eab3b8e0",
-      "bytes": 237458,
-      "rows": 9,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010305.lean\",\"f499af5acebdcf03c51c798e7f1f5518bd5c2d76f3faf07be836e93d380119e8\",0,\"lean_workbook_plus_36949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010306.lean\",\"05d4ed6b77acf31cd3270f85fa095ae4bf80b19b833a8a90d5a20921393d3f29\",0,\"lean_workbook_plus_11111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010307.lean\",\"e762e078cc490eb10db4a1a13e9ed4d4fd089df32defb1d5d46b868800c89fac\",0,\"lean_workbook_43966\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237458,
+      "path": "data/train/p41/oproofs-s00002-r00010304-n000004-0000-b64006c2e560f468.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b64006c2e560f46895b44a680405e5e1f00e467ad590f408212a11b5eab3b8e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010308-n000004.json b/manifests/batches/oproofs/s00002-r00010308-n000004.json
index 2d855b215b6388b0c52becbc4d3a47ef98db28af..d1c0036d971870fc10fe5e4e4171569c4f98533d 100644
--- a/manifests/batches/oproofs/s00002-r00010308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010308-n000004",
   "batch_fingerprint": "dec45e5b7056ff701cdfbe784f550cd6726b8a7df42390347c22c0729f4c8de9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010308-n000004-0000-63c59be56740c924.parquet",
-      "sha256": "63c59be56740c9241598f56295c4cd172037e794794ac667e56463dc56736a00",
-      "bytes": 171784,
-      "rows": 16,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010308-n000004-0000-7d13a03d3e2f69f6.parquet",
-      "sha256": "7d13a03d3e2f69f6f325f9661eb3ace5c33ae95e536c85485b59048bad6a386f",
-      "bytes": 120138,
-      "rows": 5,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010309.lean\",\"c92bcf2effaa467c542b7b4a929782d39db67a1483de66b5e5aeb0651163b35d\",0,\"lean_workbook_32784\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010310.lean\",\"fa069e81f973683aca9ab8bf4c2b480c40183282c963d137413ebe3af5fff862\",0,\"lean_workbook_plus_68897\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010311.lean\",\"05fc1d4aa261a4b936ccecd27c7f028e05f88881b9e950d1467d99ade114dcd0\",0,\"lean_workbook_plus_78611\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 171784,
+      "path": "data/train/p13/oproofs-s00002-r00010308-n000004-0000-63c59be56740c924.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "63c59be56740c9241598f56295c4cd172037e794794ac667e56463dc56736a00"
+    },
+    {
+      "bytes": 120138,
+      "path": "data/dev/p13/oproofs-s00002-r00010308-n000004-0000-7d13a03d3e2f69f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7d13a03d3e2f69f6f325f9661eb3ace5c33ae95e536c85485b59048bad6a386f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010312-n000004.json b/manifests/batches/oproofs/s00002-r00010312-n000004.json
index 9bc5ab1a5a9ecac8438b0007ba9a3e8fce6978be..c590e54156c9090463c3f18774654057852f2617 100644
--- a/manifests/batches/oproofs/s00002-r00010312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010312-n000004",
   "batch_fingerprint": "67e6a1815904124afa341828cc3f36e46e3adfb437d9403f065eb092d58ca512",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010312-n000004-0000-dfd452acca77f047.parquet",
-      "sha256": "dfd452acca77f04716f20810aaa56b7e706b97896929e16c4d53e77e52d42c64",
-      "bytes": 335632,
-      "rows": 23,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010313.lean\",\"10a12d1f2100f9e228f3c495cc2a6731c52824370b80a134ed30e1b24d503de1\",0,\"lean_workbook_30213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010314.lean\",\"83e3c678b119ee4615bdb22b0f7be77724e068435c9aae2bffaa4c12385f33e5\",0,\"lean_workbook_23426\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010315.lean\",\"f9d4f699d00a0e8d94e6a111b87f36e8e02fc9c1f2f88b7c82ef1ea5d0059388\",0,\"lean_workbook_20681\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 335632,
+      "path": "data/train/p0e/oproofs-s00002-r00010312-n000004-0000-dfd452acca77f047.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "dfd452acca77f04716f20810aaa56b7e706b97896929e16c4d53e77e52d42c64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010316-n000004.json b/manifests/batches/oproofs/s00002-r00010316-n000004.json
index 4aea64fd923426beaa4ec9daeebb1227f4b18dbf..4a52fddceb20076e1ca0aab5a11652df03e67c83 100644
--- a/manifests/batches/oproofs/s00002-r00010316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010316-n000004",
   "batch_fingerprint": "46258af7beb51683e1f6ad174fa94eec1eb43d6633ae02e99e6446b587f6e62b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010316-n000004-0000-a0a555d3bb2eb7f2.parquet",
-      "sha256": "a0a555d3bb2eb7f23824d3d7cc1e7464b70e186ccea63c38995932ada14bc69f",
-      "bytes": 98837,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010317.lean\",\"f80c681d6c971d88292936ec17b2551d2966ce7d68e0d6801098b77064270d4a\",0,\"lean_workbook_plus_35025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010318.lean\",\"eab0a5feb09af562e9627cd1db47882930a70ae194a74be565ce963874e4e5cd\",0,\"dot_product_maximum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010319.lean\",\"2323b087b62f4a4c2acb1b2f2137eca23cdaa097c56151ce5f603f25d5f4065d\",0,\"lean_workbook_plus_49935\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98837,
+      "path": "data/train/pf3/oproofs-s00002-r00010316-n000004-0000-a0a555d3bb2eb7f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a0a555d3bb2eb7f23824d3d7cc1e7464b70e186ccea63c38995932ada14bc69f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010320-n000004.json b/manifests/batches/oproofs/s00002-r00010320-n000004.json
index 04cf9d0c3682953187fe1e0351d846a849d291b3..6b5a18b12fadf597f2dd9269630d9a920e880f69 100644
--- a/manifests/batches/oproofs/s00002-r00010320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010320-n000004",
   "batch_fingerprint": "f5161e4fc6d43811a35e47c35d71c9ba3a9258f0e6663d6ee7667030c0ed9292",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010320-n000004-0000-450ba189dee60e91.parquet",
-      "sha256": "450ba189dee60e912f4c23f023fb151c67da29d0681d6dab2d0e4e9d46f004dc",
-      "bytes": 190151,
-      "rows": 10,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010320-n000004-0000-ec41e2c86a6bb661.parquet",
-      "sha256": "ec41e2c86a6bb66145eaba55a0a1b9d6c9a23df61d1e1d06512e852a82a94680",
-      "bytes": 57266,
-      "rows": 3,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010321.lean\",\"0e75d8996c0983821d8abc56fce37a23c514d7f8070542db9838d77005131b6c\",0,\"lean_workbook_plus_35934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010322.lean\",\"f5d83b42d4078429b5734f9a73a4e0da6f76e64fd6c8295db11034d9fe55d5de\",0,\"lean_workbook_plus_82760\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010323.lean\",\"7eae86e36e4719fec276701d49f24d7ff4df575c03c9e04149ac058ad76b7ad0\",0,\"lean_workbook_16601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190151,
+      "path": "data/train/pdf/oproofs-s00002-r00010320-n000004-0000-450ba189dee60e91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "450ba189dee60e912f4c23f023fb151c67da29d0681d6dab2d0e4e9d46f004dc"
+    },
+    {
+      "bytes": 57266,
+      "path": "data/internal_test/pdf/oproofs-s00002-r00010320-n000004-0000-ec41e2c86a6bb661.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ec41e2c86a6bb66145eaba55a0a1b9d6c9a23df61d1e1d06512e852a82a94680"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010324-n000004.json b/manifests/batches/oproofs/s00002-r00010324-n000004.json
index aa0333e44b0ceb1d89e7c1a6996ae5737d521ef7..f0ad9e450b6b42160dc8d80f12ced93d072f7f95 100644
--- a/manifests/batches/oproofs/s00002-r00010324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010324-n000004",
   "batch_fingerprint": "a155e05f74326f0b4af977421257c2d268e7a859ebf9e8ab0bf2d610866354ca",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10324",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10325",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10326",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10327"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010324.lean\",\"288bdd5885d51c098e0be79f7cab1f9325bd04dafa3db976d20e56b58361b171\",0,\"lean_workbook_35340\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010325.lean\",\"3f46e96e7f32edb38463e2b9295fedd4184d82aa552e2ab60c290add10218b59\",0,\"lean_workbook_plus_2594\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010326.lean\",\"b7ac6a65cf590c9b773bf4b4933fcb279445041cbc696f9422b0af746db8fe26\",0,\"lean_workbook_plus_35892\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010327.lean\",\"9fb8a85d86d26b39bd85a787f6e79036ce0a271bd5958eb63085639c2f955e04\",0,\"lean_workbook_plus_79420\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010324-n000004-0000-83cd8bde413dcaa2.parquet",
-      "sha256": "83cd8bde413dcaa23c045ec07742cd0db22e73fcc22341b55b9de796189085c8",
       "bytes": 139228,
+      "path": "data/train/pcd/oproofs-s00002-r00010324-n000004-0000-83cd8bde413dcaa2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "83cd8bde413dcaa23c045ec07742cd0db22e73fcc22341b55b9de796189085c8"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010324-n000004-0000-7e56182a2beb6215.parquet",
-      "sha256": "7e56182a2beb621502a907173443f77efa196eca335846a0fb515e1df10a18d2",
       "bytes": 118741,
+      "path": "data/dev/pcd/oproofs-s00002-r00010324-n000004-0000-7e56182a2beb6215.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "7e56182a2beb621502a907173443f77efa196eca335846a0fb515e1df10a18d2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010324-n000004-0000-61e6ad38247871f7.parquet",
-      "sha256": "61e6ad38247871f74daa5b28a751720670cf4325a2860eec5a873a7e26f01e63",
       "bytes": 77636,
+      "path": "data/internal_test/pcd/oproofs-s00002-r00010324-n000004-0000-61e6ad38247871f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
+      "sha256": "61e6ad38247871f74daa5b28a751720670cf4325a2860eec5a873a7e26f01e63"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10324",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10325",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10326",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10327"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010324.lean\",\"288bdd5885d51c098e0be79f7cab1f9325bd04dafa3db976d20e56b58361b171\",0,\"lean_workbook_35340\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010325.lean\",\"3f46e96e7f32edb38463e2b9295fedd4184d82aa552e2ab60c290add10218b59\",0,\"lean_workbook_plus_2594\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010326.lean\",\"b7ac6a65cf590c9b773bf4b4933fcb279445041cbc696f9422b0af746db8fe26\",0,\"lean_workbook_plus_35892\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010327.lean\",\"9fb8a85d86d26b39bd85a787f6e79036ce0a271bd5958eb63085639c2f955e04\",0,\"lean_workbook_plus_79420\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010328-n000004.json b/manifests/batches/oproofs/s00002-r00010328-n000004.json
index 1277a9ee57dad874b47e1178d6bc171e8e47385c..1ae4bc21765de255d5aa0e7efc67257b978c32d4 100644
--- a/manifests/batches/oproofs/s00002-r00010328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010328-n000004",
   "batch_fingerprint": "38a2aba86be359a6a3365251f8697b18adee8b172c5e98444c4709065fddc96c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010328-n000004-0000-82d32574cdae15f8.parquet",
-      "sha256": "82d32574cdae15f8475d2e3130ddaf4779100d51724ab91e380b5e5f3afce2aa",
-      "bytes": 419360,
-      "rows": 22,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010329.lean\",\"f7b315ae3f5bb5c56aa56b70e3324afbdeb0e304b05426c1c1285b9eb6ea6660\",0,\"lean_workbook_33389\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010330.lean\",\"b1406673b0eda5975d4c54a02a608861e6431955ed8f68c88b7b680e626e1013\",0,\"lean_workbook_plus_74449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010331.lean\",\"5b4b2992c521023a2860486efa837782af1159af860c2013d7545c7bd1647472\",0,\"lean_workbook_2960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 419360,
+      "path": "data/train/p91/oproofs-s00002-r00010328-n000004-0000-82d32574cdae15f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "82d32574cdae15f8475d2e3130ddaf4779100d51724ab91e380b5e5f3afce2aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010332-n000004.json b/manifests/batches/oproofs/s00002-r00010332-n000004.json
index 44a1baa068ec777ecf0fe50ff0ef3df9a7fcae55..f42144b860bb8a7515ba256992602042bd9f79a9 100644
--- a/manifests/batches/oproofs/s00002-r00010332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010332-n000004",
   "batch_fingerprint": "e393ca7ebbf791bb62a5a6997bdcf9d72c14ca433a1140cbffe49aa34ced2e3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010332-n000004-0000-7304830a0437ab6a.parquet",
-      "sha256": "7304830a0437ab6af75b69ae99ba335b79b3cfb3d3d7b779bce89753bda6b295",
-      "bytes": 143497,
-      "rows": 12,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010332-n000004-0000-bf536b85a2e55432.parquet",
-      "sha256": "bf536b85a2e55432c4884fb4f82f59c8da1418fda9b03e89482b00b9a8cf8eec",
-      "bytes": 41942,
-      "rows": 6,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010333.lean\",\"5d9df3676bd80d2fd4432ec3450dd273a5984a8a78e1135367f1af4f3d6c2b9c\",0,\"lean_workbook_plus_13421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010334.lean\",\"5d25005b1e78cc7376c4692b9557fbf50a542b0ebe01453373ece8681b021759\",0,\"lean_workbook_34998\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010335.lean\",\"f05fe1fa078437b463ea1ce92a18edebd7dd802bb55bda1ac9d890d396f8c7d6\",0,\"lean_workbook_plus_39186\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143497,
+      "path": "data/train/pa0/oproofs-s00002-r00010332-n000004-0000-7304830a0437ab6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "7304830a0437ab6af75b69ae99ba335b79b3cfb3d3d7b779bce89753bda6b295"
+    },
+    {
+      "bytes": 41942,
+      "path": "data/internal_test/pa0/oproofs-s00002-r00010332-n000004-0000-bf536b85a2e55432.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "bf536b85a2e55432c4884fb4f82f59c8da1418fda9b03e89482b00b9a8cf8eec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010336-n000004.json b/manifests/batches/oproofs/s00002-r00010336-n000004.json
index 5a118f746c1def47b51a67bf3a9be48c37c703c8..ad4f2dec330e149021884265f3ad15fc186bc166 100644
--- a/manifests/batches/oproofs/s00002-r00010336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010336-n000004",
   "batch_fingerprint": "bdfb9ac072b525d4caca3fcc21a58124a678c5ad0b9402eeec2eec4abb04c687",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010336-n000004-0000-cc16b7f6991a75f4.parquet",
-      "sha256": "cc16b7f6991a75f4cfe81e80ddd3594f27b863f65b571c065fd938c8a033b5b6",
-      "bytes": 262999,
-      "rows": 18,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010337.lean\",\"4f04f45ee4928f030d8827896090c8a614c9eb3ab374dee4811cc8dc1c781125\",0,\"lean_workbook_plus_4911\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010338.lean\",\"d94c5f67bc17aa86ce856624465612df4c2c548a7b90333122c9a6dad5a0f91d\",0,\"lean_workbook_11749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010339.lean\",\"ea18b8a435fa04f195e026e2ff522583bc9b0215a96ce71dae0532f6bbdefff8\",0,\"lean_workbook_plus_19518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262999,
+      "path": "data/train/p37/oproofs-s00002-r00010336-n000004-0000-cc16b7f6991a75f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cc16b7f6991a75f4cfe81e80ddd3594f27b863f65b571c065fd938c8a033b5b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010340-n000004.json b/manifests/batches/oproofs/s00002-r00010340-n000004.json
index 9ef3e81e77824439c517b7612dfe0480cce3bd7f..3195f7ae9fd2e418eeaf5e7e965b685cdfcb571e 100644
--- a/manifests/batches/oproofs/s00002-r00010340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010340-n000004",
   "batch_fingerprint": "a527bce102d8d0dda6cf48b2e71537e008ec3bf7d6eb9af3b8f659570d7c60a1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010340-n000004-0000-e16347cd194732a2.parquet",
-      "sha256": "e16347cd194732a2f358ed2502cb00b2547c3bbefd7883328b3afad8b04110ac",
-      "bytes": 404968,
-      "rows": 17,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10341",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010341.lean\",\"92980b96978f8cd308065566b6c7944051f406167849badaec510abf06428358\",0,\"lean_workbook_plus_65940\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010342.lean\",\"4c146b9fdccdfc7122832862d6af52d27c44b9718eae3a993ec6e054b61b9632\",0,\"lean_workbook_plus_27834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010343.lean\",\"6b31334f34f803d801628474a25f9faabd4691d4d95d910c789be5ed2c863938\",0,\"lean_workbook_plus_43346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 404968,
+      "path": "data/train/p59/oproofs-s00002-r00010340-n000004-0000-e16347cd194732a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e16347cd194732a2f358ed2502cb00b2547c3bbefd7883328b3afad8b04110ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010344-n000004.json b/manifests/batches/oproofs/s00002-r00010344-n000004.json
index 2c63b5a139878895e1c75227b69afdebe1b435b7..9b478deebf212b42cdd975727dfa73195bfcc0db 100644
--- a/manifests/batches/oproofs/s00002-r00010344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010344-n000004",
   "batch_fingerprint": "d8f454572a9aaa2ebb6dde7683cf790d37b428610496d235787b99a8ee07c489",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010344-n000004-0000-9c5bbf39a66200e8.parquet",
-      "sha256": "9c5bbf39a66200e8423e8201f939f34a50d6fd11aeada1476f5b71f0cc64b5db",
-      "bytes": 192266,
-      "rows": 21,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010345.lean\",\"ba3bd7ec01f501e8ad355c41408ded67825b2ffba1e6735c4f9723be287556d7\",0,\"lean_workbook_19166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010346.lean\",\"ac6d461e1fcaafabceccc077dc8814f85386cdc29f6c1855fd74323fc71f8402\",0,\"fastest_growth\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010347.lean\",\"6611e1420c20fe0d0945dd39feb0ac5e412431711ba6c8cb4024240aca4f890d\",0,\"lean_workbook_plus_35061\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 192266,
+      "path": "data/train/p00/oproofs-s00002-r00010344-n000004-0000-9c5bbf39a66200e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9c5bbf39a66200e8423e8201f939f34a50d6fd11aeada1476f5b71f0cc64b5db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010348-n000004.json b/manifests/batches/oproofs/s00002-r00010348-n000004.json
index 4ed70884e58ac1d6c0275e19ab1bce680ff91c98..a2fbc4b694ec08faf481f15146bb498e393cba03 100644
--- a/manifests/batches/oproofs/s00002-r00010348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010348-n000004",
   "batch_fingerprint": "be93b367a37506dcd5171dd125a4ddc3d44eac5d882eb30ffbad59c06c52010f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010348-n000004-0000-84c75f028a013646.parquet",
-      "sha256": "84c75f028a0136461a260a2cf32beb68145ec9a4366f9b0aa3e0c4ab9c051520",
-      "bytes": 67607,
-      "rows": 9,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010349.lean\",\"d5dcb2278ba401d4cbcb0f7898d8187d6eb1c79125b6dfe5fb595637567057b7\",0,\"lean_workbook_plus_79945\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010350.lean\",\"75350cb07e79b53caccf42e2633f67b2a7582238df01fe859f06cf800c248ffa\",0,\"lean_workbook_plus_2105\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010351.lean\",\"da12486216135c11f56e3e759c7cf2190302b16f6ed94543acc0d7501be48685\",0,\"pasture_rent_months\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67607,
+      "path": "data/train/p43/oproofs-s00002-r00010348-n000004-0000-84c75f028a013646.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "84c75f028a0136461a260a2cf32beb68145ec9a4366f9b0aa3e0c4ab9c051520"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010352-n000004.json b/manifests/batches/oproofs/s00002-r00010352-n000004.json
index 86285ab674bce5dd6c334dd1d4e163cb30202b75..9cd0b6604df830accc3c744d9127301722cfaec3 100644
--- a/manifests/batches/oproofs/s00002-r00010352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010352-n000004",
   "batch_fingerprint": "80df49f9cb9e22c91c7873597cb4aab2eccd94e40cdd18bcaba81dac52ae3777",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010352-n000004-0000-c09a11be94f56eab.parquet",
-      "sha256": "c09a11be94f56eab46acf3bae7048a2e4a2f526b38f3113da051ad922a870b7f",
-      "bytes": 226391,
-      "rows": 15,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010353.lean\",\"32aec0fc80c08814247313d89da4ee66089fce15ebdf64ef78e56c84ff005409\",0,\"lean_workbook_plus_74466\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010354.lean\",\"db857c1504103c8f29998968ed4c1401dff3bd29b2d8be9c4b5fc81e0e7ed1fe\",0,\"lean_workbook_plus_34735\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010355.lean\",\"e56f5d0a1f8a8bfd48f0ab95714a55baeb47d9c892feb8baa4704e48c86f12ae\",0,\"lean_workbook_plus_6630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226391,
+      "path": "data/train/p0f/oproofs-s00002-r00010352-n000004-0000-c09a11be94f56eab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c09a11be94f56eab46acf3bae7048a2e4a2f526b38f3113da051ad922a870b7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010356-n000004.json b/manifests/batches/oproofs/s00002-r00010356-n000004.json
index 013404c64b4cdfe89f5c408f4f390d0ae5d6299a..785a99b068177297802b1fa27a2d7c4b9f1f8bc4 100644
--- a/manifests/batches/oproofs/s00002-r00010356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010356-n000004",
   "batch_fingerprint": "3ff56e4ebe9dd6cf49de8aec1ddb7c621768388450c00f748eb2024c228da41c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010356-n000004-0000-d18cd186caca86d9.parquet",
-      "sha256": "d18cd186caca86d949065a4580af08b1ceb0ad11ee948034646b22e38db84f7d",
-      "bytes": 278302,
-      "rows": 25,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010357.lean\",\"59da03517f28d83da3ae907a009de18fefdb60866a72b6a62a6e23a8d5a8ddf0\",0,\"lean_workbook_plus_36826\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010358.lean\",\"c5cf65d61945616d41c97a6953a8b59634d5c4d917acc0ffcb494d2d9c82f2e1\",0,\"complex_fraction_plus_abs\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010359.lean\",\"68d7ab87e02608a533a804ac2bc40f1d228ee56e5fc2763576f5d2dd931c8f20\",0,\"lean_workbook_29832\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278302,
+      "path": "data/train/p63/oproofs-s00002-r00010356-n000004-0000-d18cd186caca86d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d18cd186caca86d949065a4580af08b1ceb0ad11ee948034646b22e38db84f7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010360-n000004.json b/manifests/batches/oproofs/s00002-r00010360-n000004.json
index 5a79f15c7c0a9de30f4bee3a32ea57a8e6df1e99..cc4894b69f640b5845d09dc8315196b9da23bb9e 100644
--- a/manifests/batches/oproofs/s00002-r00010360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010360-n000004",
   "batch_fingerprint": "e13f0b57ad11c2779afc96ed2e723fb45533d8937481218fc921d5ac105026ae",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010360-n000004-0000-2392a7e7fa1324ba.parquet",
-      "sha256": "2392a7e7fa1324bad6e3fc54d049158ac27724ddba3560ac8bc11e99192a01f7",
-      "bytes": 238209,
-      "rows": 13,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010360-n000004-0000-db4b228cfe76cdc2.parquet",
-      "sha256": "db4b228cfe76cdc296e75adaad6bb671dbf8c046bc05e53637fd124425981216",
-      "bytes": 73218,
-      "rows": 2,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10361",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010361.lean\",\"b325e5bf66359bfaa3dd8dbf46e84fd41bdc7f972b34c9db64a61903e64db248\",0,\"lean_workbook_41645\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010362.lean\",\"b56a7f6ef4e40eed58209c5cd5db53da7d3fe7b30bcb53ec089e06a839438457\",0,\"lean_workbook_plus_14705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010363.lean\",\"fae29e42ea0d0c2b0bdb5ff813a0e6a72295d0f3fe603f096fec8e00ccff4ffe\",0,\"lean_workbook_39145\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238209,
+      "path": "data/train/p30/oproofs-s00002-r00010360-n000004-0000-2392a7e7fa1324ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2392a7e7fa1324bad6e3fc54d049158ac27724ddba3560ac8bc11e99192a01f7"
+    },
+    {
+      "bytes": 73218,
+      "path": "data/internal_test/p30/oproofs-s00002-r00010360-n000004-0000-db4b228cfe76cdc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "db4b228cfe76cdc296e75adaad6bb671dbf8c046bc05e53637fd124425981216"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010364-n000004.json b/manifests/batches/oproofs/s00002-r00010364-n000004.json
index 8f8e7e74fc2fc059df9d6933a72ebc042ec0fea6..7927eb1ad0e28b326cdf61edd96c0a15f7e90391 100644
--- a/manifests/batches/oproofs/s00002-r00010364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010364-n000004",
   "batch_fingerprint": "e0ce9d324beeb9cc2c156c6c564c65cd801654d454ed5e1bdfaec007fd031faf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010364-n000004-0000-84d9034caf0596a4.parquet",
-      "sha256": "84d9034caf0596a4f3c20beded552578788acb640f48d84200a8f43bbd84ae11",
-      "bytes": 177252,
-      "rows": 8,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010364-n000004-0000-fbfc77eb36d6abe8.parquet",
-      "sha256": "fbfc77eb36d6abe8d73745f878258bce69b5557f62de65d62bd68b306308669d",
-      "bytes": 144025,
-      "rows": 10,
-      "revision": "311f3d4d54ea49a07f8de538145f417b47e6deca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10365",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010365.lean\",\"07baa5fe476c21765401e8be38d344bb36dba39b3b4687902ed6c61453513085\",0,\"lean_workbook_plus_23601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010366.lean\",\"67ee6f773d0b2dfd15b779d29bdad64bc8c1a53ee6272cfae4468e44bba4a51f\",0,\"lean_workbook_plus_11111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010367.lean\",\"3704cf597a211ddabf3b70a4a27f808f464685f17f54a0e7279df47cb9a10ff5\",0,\"lean_workbook_32784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177252,
+      "path": "data/train/pe2/oproofs-s00002-r00010364-n000004-0000-84d9034caf0596a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "84d9034caf0596a4f3c20beded552578788acb640f48d84200a8f43bbd84ae11"
+    },
+    {
+      "bytes": 144025,
+      "path": "data/dev/pe2/oproofs-s00002-r00010364-n000004-0000-fbfc77eb36d6abe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "fbfc77eb36d6abe8d73745f878258bce69b5557f62de65d62bd68b306308669d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010368-n000004.json b/manifests/batches/oproofs/s00002-r00010368-n000004.json
index df4822e912a7c6e5ed1e77201965810cb5b04dec..63767c9bf7a9edde78aea95e5304d26ac86ba5ab 100644
--- a/manifests/batches/oproofs/s00002-r00010368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010368-n000004",
   "batch_fingerprint": "c7768e5c7dfc49f293601387eea704aa9cbfa0721ac67499024c1a710017df11",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010368-n000004-0000-a36b2bb038a1a4f4.parquet",
-      "sha256": "a36b2bb038a1a4f4d2d3f5657722e131a2d0935096ff7e9e9bc33e0ba217fde2",
-      "bytes": 152162,
-      "rows": 16,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010368-n000004-0000-2fc65b1c4be8c2e1.parquet",
-      "sha256": "2fc65b1c4be8c2e17965255dc5981a97dae67a7b26f26cc59b4083656f08486e",
-      "bytes": 57145,
-      "rows": 3,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010369.lean\",\"e823c54bb8b8a05baf4b4185576ba552feceb9446037c4515625acb2fb3c2f09\",0,\"lean_workbook_56804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010370.lean\",\"2cfc9a8eb7c014d346554002d0eb0be7eb581d4c179b461958c9c5942276587f\",0,\"lean_workbook_30213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010371.lean\",\"02ef29d7efd346a18f29fba559e16d74739437eb369280d3a5e9a05fe042283b\",0,\"lean_workbook_plus_67208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152162,
+      "path": "data/train/p98/oproofs-s00002-r00010368-n000004-0000-a36b2bb038a1a4f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a36b2bb038a1a4f4d2d3f5657722e131a2d0935096ff7e9e9bc33e0ba217fde2"
+    },
+    {
+      "bytes": 57145,
+      "path": "data/internal_test/p98/oproofs-s00002-r00010368-n000004-0000-2fc65b1c4be8c2e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2fc65b1c4be8c2e17965255dc5981a97dae67a7b26f26cc59b4083656f08486e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010372-n000004.json b/manifests/batches/oproofs/s00002-r00010372-n000004.json
index 1b836c452aa0b3a6614e44cf69ca21125f57cd47..4a55a60d12dc3417e81228f065b89fe181684a02 100644
--- a/manifests/batches/oproofs/s00002-r00010372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010372-n000004",
   "batch_fingerprint": "cf90b4d8156329a541b1db7b6749920ead6e67578e704fceca6930bc12b80ead",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010372-n000004-0000-205b1833f500a4e7.parquet",
-      "sha256": "205b1833f500a4e77511ece153ccd6bd2b82f5d6dcdcfe0bc78400f8a87deadc",
-      "bytes": 159432,
-      "rows": 14,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010372-n000004-0000-b584c6707dd4a318.parquet",
-      "sha256": "b584c6707dd4a318cc4085e865ca85f155a4ce77348af051be9576cdc2dccee8",
-      "bytes": 66113,
-      "rows": 3,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010373.lean\",\"42c884d684c75d2c94387bbca5cec16fea9b6cd73a0dd5610e2b673309f6f8a7\",0,\"lean_workbook_plus_49935\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010374.lean\",\"00a14ddd88442f14c5bdaf1cac437a3d165882dd4c893ad4fb342d3b032bdd25\",0,\"lean_workbook_plus_11762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010375.lean\",\"4231ead7411b775b02b35327017cde6ef088dd3498043f6e5c3eb5961ab1b408\",0,\"lean_workbook_23426\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159432,
+      "path": "data/train/pca/oproofs-s00002-r00010372-n000004-0000-205b1833f500a4e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "205b1833f500a4e77511ece153ccd6bd2b82f5d6dcdcfe0bc78400f8a87deadc"
+    },
+    {
+      "bytes": 66113,
+      "path": "data/internal_test/pca/oproofs-s00002-r00010372-n000004-0000-b584c6707dd4a318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b584c6707dd4a318cc4085e865ca85f155a4ce77348af051be9576cdc2dccee8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010376-n000004.json b/manifests/batches/oproofs/s00002-r00010376-n000004.json
index 23715514aca7ce8abd791c0d56fa4ee4f154041a..a7ccbc673e643071a72cadfa5fe212d940f32b41 100644
--- a/manifests/batches/oproofs/s00002-r00010376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010376-n000004",
   "batch_fingerprint": "040996b94e5c62f97e50c8ce75893971e1c7224d3be6ee1d1e421c0e9711b982",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010376-n000004-0000-b4c39be22e385d7e.parquet",
-      "sha256": "b4c39be22e385d7e24b6fc872e355527cb743bbe341feb354740b85181f7b897",
-      "bytes": 159807,
-      "rows": 16,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10377",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010377.lean\",\"a8b3ad8f21b06c88940f0d891cfd888d817158f20fd9f4f53f671d063c699a9c\",0,\"lean_workbook_plus_21257\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010378.lean\",\"d0f4281a868c45ea0e172bd22349350fd29d7a386a5da8a03e320992ca3235c4\",0,\"lean_workbook_plus_82744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010379.lean\",\"a34e5c70ad19f73fca44e708ece49350f0fbdd3c96084d06d6634d59ade68ee5\",0,\"lean_workbook_plus_74449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159807,
+      "path": "data/train/p13/oproofs-s00002-r00010376-n000004-0000-b4c39be22e385d7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b4c39be22e385d7e24b6fc872e355527cb743bbe341feb354740b85181f7b897"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010380-n000004.json b/manifests/batches/oproofs/s00002-r00010380-n000004.json
index 2e64f98c3f3dab17c238a33dbe186e0d8fd1fa07..589e70d40a473048d62710c0ed3b5b2ead44798a 100644
--- a/manifests/batches/oproofs/s00002-r00010380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010380-n000004",
   "batch_fingerprint": "f8280d2c6aa21d9e735cdd0366e03c8bee3617073750f3b04163aa631ac1bfe8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010380-n000004-0000-aff2a6ce08f78335.parquet",
-      "sha256": "aff2a6ce08f78335b02b465c3ca88b15df5456f4aebb84b63e412a96ec7bbc79",
-      "bytes": 573157,
-      "rows": 29,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010380-n000004-0000-40cee8317eda3bb4.parquet",
-      "sha256": "40cee8317eda3bb401c701f5c350882164a8a473e05be7886c5bf5414db1a1f8",
-      "bytes": 47590,
-      "rows": 2,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10381",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010381.lean\",\"378291d883780f49f99b6f471aa311e97ba8e85706cb8e26e922a0e8bbb0944c\",0,\"lean_workbook_2960\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010382.lean\",\"8f7d29f33423913ac2d64c9e362861907cccb854323f1f9332859daaec0b1a59\",0,\"lean_workbook_plus_13421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010383.lean\",\"ced103400b2655de803647edd4b718489309e6646fb60a3474cbf7a93bc8ee59\",0,\"lean_workbook_plus_69975\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 573157,
+      "path": "data/train/pd0/oproofs-s00002-r00010380-n000004-0000-aff2a6ce08f78335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "aff2a6ce08f78335b02b465c3ca88b15df5456f4aebb84b63e412a96ec7bbc79"
+    },
+    {
+      "bytes": 47590,
+      "path": "data/dev/pd0/oproofs-s00002-r00010380-n000004-0000-40cee8317eda3bb4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "40cee8317eda3bb401c701f5c350882164a8a473e05be7886c5bf5414db1a1f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010384-n000004.json b/manifests/batches/oproofs/s00002-r00010384-n000004.json
index 5948777fea7968da63cc4ff105c97410330480f1..13fdf30a4d6d2656354c6adf30adbf3f3966572d 100644
--- a/manifests/batches/oproofs/s00002-r00010384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010384-n000004",
   "batch_fingerprint": "05f61f2e49fbc7472e48b37be939d0c3a2594ea4fe373f1fa30c2f4fc946f507",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010384-n000004-0000-c779bddd6b3b3855.parquet",
-      "sha256": "c779bddd6b3b3855838a2c7560d01c32981748d85e09b72e95c7b9240b34c0af",
-      "bytes": 425401,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010384-n000004-0000-9ec210f8071d6b8c.parquet",
-      "sha256": "9ec210f8071d6b8c99510bd2a88cb14bd71d1cf95afd8291fa0fb53154b48c30",
-      "bytes": 43616,
-      "rows": 6,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010385.lean\",\"537cf3b99e42bc2e314e67bffaaba7a86c38e00ee68086810c07f24e01577866\",0,\"lean_workbook_29259\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010386.lean\",\"1ad6630380ce6c34ee0d8d2baf609d8518b9f20c09c1cf087f0f4fb5ed055dbc\",0,\"lean_workbook_1592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010387.lean\",\"4e67432eb528acb414ab826959981713ed6f62a898cdb84e74def23e4692fd0e\",0,\"lean_workbook_plus_21288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425401,
+      "path": "data/train/pcd/oproofs-s00002-r00010384-n000004-0000-c779bddd6b3b3855.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c779bddd6b3b3855838a2c7560d01c32981748d85e09b72e95c7b9240b34c0af"
+    },
+    {
+      "bytes": 43616,
+      "path": "data/internal_test/pcd/oproofs-s00002-r00010384-n000004-0000-9ec210f8071d6b8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9ec210f8071d6b8c99510bd2a88cb14bd71d1cf95afd8291fa0fb53154b48c30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010388-n000004.json b/manifests/batches/oproofs/s00002-r00010388-n000004.json
index 50e6006851a7e2186720a0792dcbefc4cef57841..d1f0224355a0eb9cb6e3e734b743707dd686e10e 100644
--- a/manifests/batches/oproofs/s00002-r00010388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010388-n000004",
   "batch_fingerprint": "b7bc5de1154eb14aea348fa73915dcf95f90c6185f66fd285785dd71e6d45c61",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010388-n000004-0000-0b84d369132c5a5e.parquet",
-      "sha256": "0b84d369132c5a5e3c9d9486038f52a8299da6ee8ad398756e1bd403beb22a90",
-      "bytes": 476480,
-      "rows": 27,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010389.lean\",\"b043aa6b0ed02fdb960ca345f86de9664d3c272834600ce9d3d107216e6b7bc9\",0,\"lean_workbook_plus_27834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010390.lean\",\"ec3c68307233a075315faff0dfdb250e36cf924101ace5c054e9f5d503e4d8a4\",0,\"lean_workbook_19166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010391.lean\",\"e438e0eabd83469e68be0105fa9ef3a6632f9ed8ad5cc0048b5621f213be8b0a\",0,\"lean_workbook_plus_43346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 476480,
+      "path": "data/train/p0e/oproofs-s00002-r00010388-n000004-0000-0b84d369132c5a5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0b84d369132c5a5e3c9d9486038f52a8299da6ee8ad398756e1bd403beb22a90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010392-n000004.json b/manifests/batches/oproofs/s00002-r00010392-n000004.json
index cca01fd6f459dd0e0ed493a0266b331827de0976..de0147acaf56ac82cdd1a1707df72bf18568e739 100644
--- a/manifests/batches/oproofs/s00002-r00010392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010392-n000004",
   "batch_fingerprint": "f655c4d537c47eaa3fd50002fb464edfb44142b783e9f60afb949a5368b5b23e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010392-n000004-0000-a1af6375e5d553a2.parquet",
-      "sha256": "a1af6375e5d553a2becc1ff2108221e8b180c8fe1c0be2b2de0e283958403e03",
-      "bytes": 139167,
-      "rows": 13,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010393.lean\",\"82cbad74d95a5f11af1d50d9733e8473008c70788c361e00052d49e1055471d0\",0,\"lean_workbook_plus_2105\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010394.lean\",\"85d29b23f2e9b9a2c13ed7069358104fc989b8eb5802d1fec63fce4e70e05418\",0,\"lean_workbook_16193\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010395.lean\",\"3e244fa03498b24b7b2abe3493e3711327df22a6e558530290b6f185412994f9\",0,\"lean_workbook_plus_6630\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139167,
+      "path": "data/train/pce/oproofs-s00002-r00010392-n000004-0000-a1af6375e5d553a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a1af6375e5d553a2becc1ff2108221e8b180c8fe1c0be2b2de0e283958403e03"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010396-n000004.json b/manifests/batches/oproofs/s00002-r00010396-n000004.json
index 9e43c06b90712778b9f085266ede858fc4ff1d07..d627a86598ac14d6f0d89edb3e9ecd98acb2ceff 100644
--- a/manifests/batches/oproofs/s00002-r00010396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010396-n000004",
   "batch_fingerprint": "3918fd7c0baf6fa70ebc738e98c69526e6f386edfd1fa1020eff014ec60c6251",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010396-n000004-0000-d17f7edaa8334867.parquet",
-      "sha256": "d17f7edaa833486758ba935c7c542a5466ddf91e023cea2a6ea0ce65cbf097e6",
-      "bytes": 225576,
-      "rows": 24,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010397.lean\",\"890b17c634f9b28419d33dd9297f29058c0bad7f637b10c8624dc43c6abdf6d5\",0,\"lean_workbook_plus_34433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010398.lean\",\"38bdcaf93124c9ecd09832b797316a38946a7dd4142822c26dd0ee4fc924f488\",0,\"lean_workbook_plus_25836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010399.lean\",\"41bafc0852582c4071ba60867ac95c15674b3a6024e2301934dec0d28395e098\",0,\"lean_workbook_plus_78254\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225576,
+      "path": "data/train/p4d/oproofs-s00002-r00010396-n000004-0000-d17f7edaa8334867.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d17f7edaa833486758ba935c7c542a5466ddf91e023cea2a6ea0ce65cbf097e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010400-n000004.json b/manifests/batches/oproofs/s00002-r00010400-n000004.json
index e35e8f68d0f189ee9b73f5f94a6534373cf93e08..9b2fdf7cc66860bdc2932d4d150ab878c8d2c4de 100644
--- a/manifests/batches/oproofs/s00002-r00010400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010400-n000004",
   "batch_fingerprint": "d3d63dc7b3dba5d1640c5b8c40541f7bce97009326f26f689980a146ff687380",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010400-n000004-0000-e0aeb71f6c092378.parquet",
-      "sha256": "e0aeb71f6c092378cdcf94d17788f79760964e833f08e5c803bde6bc7a87dc2e",
-      "bytes": 217493,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010401.lean\",\"153f7584e16ca988c23c73abd95649115bb8b8722a82e19de189c712a9155640\",0,\"lean_workbook_29832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010402.lean\",\"c4a17fef632ab405ac34008b2385e48ba5633baaae430e3717f4f337f869bee5\",0,\"lean_workbook_plus_11889\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010403.lean\",\"b54be36a383a340897fb70104b55d7a819516ce40e424d980df56a24a8fb711d\",0,\"lean_workbook_41645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217493,
+      "path": "data/train/paa/oproofs-s00002-r00010400-n000004-0000-e0aeb71f6c092378.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e0aeb71f6c092378cdcf94d17788f79760964e833f08e5c803bde6bc7a87dc2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010404-n000004.json b/manifests/batches/oproofs/s00002-r00010404-n000004.json
index 7c7a983ff3a7f9b969f56bb2b39dfecfd3cd401e..c0989d4a4d03d363dbc4f96d1650eb047a7579a6 100644
--- a/manifests/batches/oproofs/s00002-r00010404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010404-n000004",
   "batch_fingerprint": "669fa40164b44976ecb611f4f867fee842becce559f234506aec96fab8682ebe",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010404-n000004-0000-daf74236652bbc41.parquet",
-      "sha256": "daf74236652bbc41785e1f45b643b137398ad330dad0dafb200f73ff8065d971",
-      "bytes": 154977,
-      "rows": 20,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010405.lean\",\"6d0946b3d0c74041bdee4edf724d665f2fc879e03863cc3b3ef45377b327e741\",0,\"lean_workbook_plus_1010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010406.lean\",\"ea9919471acaaa0054472e1b522e7199ffc5ec84d6a86ac682412843f41bd62b\",0,\"lean_workbook_plus_23601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010407.lean\",\"86d3d7e15b1c25845fdd241ed54206fc3c8953ccccb12c6ed46cd8d949207d68\",0,\"lean_workbook_plus_36949\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154977,
+      "path": "data/train/p66/oproofs-s00002-r00010404-n000004-0000-daf74236652bbc41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "daf74236652bbc41785e1f45b643b137398ad330dad0dafb200f73ff8065d971"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010408-n000004.json b/manifests/batches/oproofs/s00002-r00010408-n000004.json
index a069832b362b60f629a3fa185e287be2bf0587c2..1382a8a3eec21137ad96eb0b7ef1c3726a77785d 100644
--- a/manifests/batches/oproofs/s00002-r00010408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010408-n000004",
   "batch_fingerprint": "5e5db960b9e80ce53e8e2f2dbb8950085221c8f2c79dd2571d20332a51943cb9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10408",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10409",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10410",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10411"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010408.lean\",\"fbd40bb8fab5aa877972bd3d3aff3a500286dfb7983ae6eadfa50c0e57b6a75a\",0,\"lean_workbook_plus_14705\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010409.lean\",\"22f7101d4536c4e9012c1e62d1f8b6eed8671a5d7eaea907943f8fcb907fa820\",0,\"lean_workbook_plus_11111\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010410.lean\",\"d8d4ab1344a4cc33b24759cfa2b9848e7af320cc4263d5b8dc7334857fd11ace\",0,\"lean_workbook_32784\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010411.lean\",\"be415e5693c511c0f41bab6f440517cf7e8a2749b17a453468b2db68cf3b8085\",0,\"lean_workbook_56804\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010408-n000004-0000-4763a6bf1b28acc7.parquet",
-      "sha256": "4763a6bf1b28acc7d4104d7418fcb956c3b49c07a52e45ce4f7b426d339ffcfb",
       "bytes": 133696,
+      "path": "data/train/pfd/oproofs-s00002-r00010408-n000004-0000-4763a6bf1b28acc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
+      "sha256": "4763a6bf1b28acc7d4104d7418fcb956c3b49c07a52e45ce4f7b426d339ffcfb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010408-n000004-0000-8e7200099a8d2122.parquet",
-      "sha256": "8e7200099a8d2122995c83752b77c6f1422e33b232d813729dfefcbb5f2b6370",
       "bytes": 63252,
+      "path": "data/dev/pfd/oproofs-s00002-r00010408-n000004-0000-8e7200099a8d2122.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
+      "sha256": "8e7200099a8d2122995c83752b77c6f1422e33b232d813729dfefcbb5f2b6370"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010408-n000004-0000-c2c42e04be383cd6.parquet",
-      "sha256": "c2c42e04be383cd6c07feeac44d4f470dd529bd1868a0fb002e1d78c7e52c7d5",
       "bytes": 192981,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00010408-n000004-0000-c2c42e04be383cd6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
+      "sha256": "c2c42e04be383cd6c07feeac44d4f470dd529bd1868a0fb002e1d78c7e52c7d5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10408",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10409",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10410",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10411"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010408.lean\",\"fbd40bb8fab5aa877972bd3d3aff3a500286dfb7983ae6eadfa50c0e57b6a75a\",0,\"lean_workbook_plus_14705\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010409.lean\",\"22f7101d4536c4e9012c1e62d1f8b6eed8671a5d7eaea907943f8fcb907fa820\",0,\"lean_workbook_plus_11111\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010410.lean\",\"d8d4ab1344a4cc33b24759cfa2b9848e7af320cc4263d5b8dc7334857fd11ace\",0,\"lean_workbook_32784\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010411.lean\",\"be415e5693c511c0f41bab6f440517cf7e8a2749b17a453468b2db68cf3b8085\",0,\"lean_workbook_56804\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010412-n000004.json b/manifests/batches/oproofs/s00002-r00010412-n000004.json
index 74b09d28de7f2b22a036197f9d1c1ac690e11ca1..1d58dad78282aa4d4eb5912e3ed67f04f99d2155 100644
--- a/manifests/batches/oproofs/s00002-r00010412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010412-n000004",
   "batch_fingerprint": "277a23c08ad396bdd8bd48b3d16a48b4937fc777acb40b0d21ee369d0aa7fb88",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010412-n000004-0000-985d9cc6e39b89cb.parquet",
-      "sha256": "985d9cc6e39b89cb82456b231c9b6746d1b629ee4335b1ce9cf14bc457144d9c",
-      "bytes": 257009,
-      "rows": 24,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010413.lean\",\"49f46cc8cf64c03bcd19f88cc635fe4cda882d9a88d7b6377382cc46979f7568\",0,\"lean_workbook_plus_80726\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010414.lean\",\"87e2278388be83291d4c46f163f25739ca6b17206f91ab4b99a1cc60e9cc3a2f\",0,\"lean_workbook_plus_68897\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010415.lean\",\"d83901a66d1b36a4386e338a74d3c96235abae38d46985af65153ebf494c3109\",0,\"lean_workbook_30213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257009,
+      "path": "data/train/pcd/oproofs-s00002-r00010412-n000004-0000-985d9cc6e39b89cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "985d9cc6e39b89cb82456b231c9b6746d1b629ee4335b1ce9cf14bc457144d9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010416-n000004.json b/manifests/batches/oproofs/s00002-r00010416-n000004.json
index 88505298621433002704b40ba03375e0ef087cdf..54f2140878b4af806fde5dae9e6325b3fe4fb074 100644
--- a/manifests/batches/oproofs/s00002-r00010416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010416-n000004",
   "batch_fingerprint": "b8b28c9e48f58e100b749ce9bbc90ba6d6694c5bd48b1ad49d311d9dc0563641",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010416-n000004-0000-a40f651a1d71352f.parquet",
-      "sha256": "a40f651a1d71352f298599a989958068cfb80d724687e3c28ef42cdf59bc97e5",
-      "bytes": 165250,
-      "rows": 16,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10417",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010417.lean\",\"55f3a8d855a546b43df0fddfa55f2c6e34e0f6d9347b2b726c9df27d0ff5d09a\",0,\"lean_workbook_20681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010418.lean\",\"8f96e9a02f36e9db584a74e1fe437a014f13b998e3c74246a092d7c07b721fb6\",0,\"polynomial_division_remainder\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010419.lean\",\"3561faf034b6802a2b925c4ccd1894f4347e1b3fa7fe4f292d0e8e10fd6d9c9b\",0,\"dot_product_maximum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165250,
+      "path": "data/train/pa4/oproofs-s00002-r00010416-n000004-0000-a40f651a1d71352f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "a40f651a1d71352f298599a989958068cfb80d724687e3c28ef42cdf59bc97e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010420-n000004.json b/manifests/batches/oproofs/s00002-r00010420-n000004.json
index 78470f009a9b05154e6d7fa8600429d5feb6f675..35e32e11e2e4678d6ee8ee83dc70edd04d9f5c11 100644
--- a/manifests/batches/oproofs/s00002-r00010420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010420-n000004",
   "batch_fingerprint": "41475d3a7f56fa9d31041206bef198c128e8b833ee33b97c2675144865af381b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010420-n000004-0000-4d08f62e3989e724.parquet",
-      "sha256": "4d08f62e3989e7240e39e6f6f2d3a4b4adb13eba6efdd3fa520687b3e600dbc3",
-      "bytes": 165475,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010421.lean\",\"bad63465c2997df4aee7d5eff1c2bf371152956ba8bb8699e3d33876ce75a0a3\",0,\"lean_workbook_plus_67208\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010422.lean\",\"61f4f1259110e6a04b08542ebd12b906a2c44ae2308369798a19d660d3c48a44\",0,\"lean_workbook_43933\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010423.lean\",\"afb4836c3bcd5eb424ca13a1bf0123c83647ea2e77cd545a6936dbd2ac08ac2d\",0,\"lean_workbook_16601\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165475,
+      "path": "data/train/p3b/oproofs-s00002-r00010420-n000004-0000-4d08f62e3989e724.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4d08f62e3989e7240e39e6f6f2d3a4b4adb13eba6efdd3fa520687b3e600dbc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010424-n000004.json b/manifests/batches/oproofs/s00002-r00010424-n000004.json
index f3a4a7796fd46daee401c86e0dd2f1da6d9c4953..9bf73c33b70f82048ca5910965974a2ba4dae208 100644
--- a/manifests/batches/oproofs/s00002-r00010424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010424-n000004",
   "batch_fingerprint": "18f1d65bb50d58b2190e2cfed758b56dc5d18ebe71403b7023c3361dd93e867b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010424-n000004-0000-1c6a19b033c793d2.parquet",
-      "sha256": "1c6a19b033c793d2ec547b3695068da01c1d3d33d967b5330e21c1e08c46210a",
-      "bytes": 196157,
-      "rows": 12,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010425.lean\",\"38c84e63f39917eed2f339aeb0cd253b44af5e6f2b48754a2119583cf74de5aa\",0,\"lean_workbook_plus_21257\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010426.lean\",\"fe8598ab50ebaf6fccaac3126a2732f66a7c3a5d0ba0ab46da5850611e3949c7\",0,\"lean_workbook_plus_78297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010427.lean\",\"619dd904b300398c7879d5319c072481bff15e4bcd47a68e692ee250896ae1fe\",0,\"lean_workbook_plus_79420\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196157,
+      "path": "data/train/p35/oproofs-s00002-r00010424-n000004-0000-1c6a19b033c793d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1c6a19b033c793d2ec547b3695068da01c1d3d33d967b5330e21c1e08c46210a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010428-n000004.json b/manifests/batches/oproofs/s00002-r00010428-n000004.json
index f2cce0b7bda49746a4286221cd0c25a9f581325c..7ba3c5c46b717ea35c677b02584252882d35f5e8 100644
--- a/manifests/batches/oproofs/s00002-r00010428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010428-n000004",
   "batch_fingerprint": "acc12b1ce795690d43eaeb51740d959c25f197efe2f011d48d9a69a36baa3b22",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010428-n000004-0000-ca5c1cdc14351758.parquet",
-      "sha256": "ca5c1cdc143517586e47464cb535e76741edfbdf02031f269dabc0dc10b38fac",
-      "bytes": 384298,
-      "rows": 22,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010429.lean\",\"79fab351a0513216563d1c377f58a5937efd357f42dd006dbaff674e5bf51df3\",0,\"lean_workbook_23426\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010430.lean\",\"408bd7730842a0aaad4672c974df27f46c5b4fa2639b6adfa167efefb2c9672e\",0,\"lean_workbook_plus_74449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010431.lean\",\"4fab26839f9540574df7e983b8739500e5d7345c15c914271b73f675c46f68e3\",0,\"lean_workbook_33389\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384298,
+      "path": "data/train/pb3/oproofs-s00002-r00010428-n000004-0000-ca5c1cdc14351758.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ca5c1cdc143517586e47464cb535e76741edfbdf02031f269dabc0dc10b38fac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010432-n000004.json b/manifests/batches/oproofs/s00002-r00010432-n000004.json
index 306bd2f209b49cb3bd07ddb3309e56b720033d19..98b7deed7a0b51f5bf507b80acbfca1af0ff186a 100644
--- a/manifests/batches/oproofs/s00002-r00010432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010432-n000004",
   "batch_fingerprint": "61516c3faac2b387d2271eec603f8cbb3f16258876b34d87865b937d15cb7dd5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010432-n000004-0000-87a6eb415eea2d1c.parquet",
-      "sha256": "87a6eb415eea2d1c865b8de50fa9ef8bbcdeee53e9c6e8dfbdf06bee94d00c79",
-      "bytes": 1069396,
-      "rows": 26,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010432-n000004-0000-ba6131835306060f.parquet",
-      "sha256": "ba6131835306060f6f439be9f44c909a9381b5705874c645e744e73b6723403a",
-      "bytes": 41148,
-      "rows": 2,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010433.lean\",\"8fdc7952b889d979bd72cea6128c2c6a7da9ebe1686e62b18f24012f8f65a77e\",0,\"lean_workbook_plus_13421\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010434.lean\",\"7e8c768fc78b70e630465c07944312b147b331492ef0f97589ffa11b7e4a066c\",0,\"lean_workbook_plus_69975\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010435.lean\",\"a6ae8046db15be9250e39c8dfe748ee60cb7902096e5f8e74ff23eca2d188595\",0,\"lean_workbook_2960\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1069396,
+      "path": "data/train/pfb/oproofs-s00002-r00010432-n000004-0000-87a6eb415eea2d1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "87a6eb415eea2d1c865b8de50fa9ef8bbcdeee53e9c6e8dfbdf06bee94d00c79"
+    },
+    {
+      "bytes": 41148,
+      "path": "data/dev/pfb/oproofs-s00002-r00010432-n000004-0000-ba6131835306060f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ba6131835306060f6f439be9f44c909a9381b5705874c645e744e73b6723403a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010436-n000004.json b/manifests/batches/oproofs/s00002-r00010436-n000004.json
index 01bf40df0b4cd8556a0528c903d76bbf1ea46c48..c362f2ffda42f8c3d5af6598e65024ddaac96387 100644
--- a/manifests/batches/oproofs/s00002-r00010436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010436-n000004",
   "batch_fingerprint": "bc5fb44c206a8024ce6a34ed5dcf46d437126826e1c875a07cd8376c9d316107",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010436-n000004-0000-026cc5d6682cb60a.parquet",
-      "sha256": "026cc5d6682cb60ac805a1c58907bb4a9abe0aa5812578eb9de8f450f414f83a",
-      "bytes": 259366,
-      "rows": 10,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010436-n000004-0000-9bdacff2b70ad7ae.parquet",
-      "sha256": "9bdacff2b70ad7aedb48a4aead78d6e15b7d1781836cb344260f7a5c48c5ace1",
-      "bytes": 43614,
-      "rows": 6,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010437.lean\",\"4e41a0d45acd01b5ffe81214e9081b343eefffc666b30700ad7dbb615394a297\",0,\"lean_workbook_1592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010438.lean\",\"0cfe4db1f2f734ddf605c4065e8c3e144607e0c8c9d1a6437fd73cb1edb4ed5e\",0,\"lean_workbook_plus_4911\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010439.lean\",\"aeda8d1c4e64a249013764e59017a30a8ef89c289321d1bf774a372298d78492\",0,\"lean_workbook_plus_36930\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 259366,
+      "path": "data/train/pc8/oproofs-s00002-r00010436-n000004-0000-026cc5d6682cb60a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "026cc5d6682cb60ac805a1c58907bb4a9abe0aa5812578eb9de8f450f414f83a"
+    },
+    {
+      "bytes": 43614,
+      "path": "data/internal_test/pc8/oproofs-s00002-r00010436-n000004-0000-9bdacff2b70ad7ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9bdacff2b70ad7aedb48a4aead78d6e15b7d1781836cb344260f7a5c48c5ace1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010440-n000004.json b/manifests/batches/oproofs/s00002-r00010440-n000004.json
index 76f172af5cc33143e0470733cae85db6fe816162..66a358d1640a393e613dd8fb9c422a75128ce53c 100644
--- a/manifests/batches/oproofs/s00002-r00010440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010440-n000004",
   "batch_fingerprint": "d61aa8407ff93237349582cf008fdc36a1a20bef23642dd1f78835ff578ac676",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010440-n000004-0000-15f30c138f351a02.parquet",
-      "sha256": "15f30c138f351a020aadc06bdcd4f1f08f6d911c35c78d8b7a3c69b63328b457",
-      "bytes": 551068,
-      "rows": 21,
-      "revision": "72611efc91c12c828a58b3dab77266698552ce60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010441.lean\",\"c86f64b13ef0d09f436c0be91d21e2b78d34115534efe6d8f467b20fd7e4c5ee\",0,\"lean_workbook_plus_21288\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010442.lean\",\"a674e1303232448438f6c758c779c27a8b1f76763d43b5a26d13fe594ae1af74\",0,\"lean_workbook_29259\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010443.lean\",\"46e4799ebe9b9f40bf285a2139a85dfa9ad26e4a20749905f7e0efe1fdb608fe\",0,\"lean_workbook_plus_65940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 551068,
+      "path": "data/train/p21/oproofs-s00002-r00010440-n000004-0000-15f30c138f351a02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "15f30c138f351a020aadc06bdcd4f1f08f6d911c35c78d8b7a3c69b63328b457"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010444-n000004.json b/manifests/batches/oproofs/s00002-r00010444-n000004.json
index 780ad738d70bd6852cb78cb4e0273815bca294fb..560cc194b08028ddb033df2762835901371fee98 100644
--- a/manifests/batches/oproofs/s00002-r00010444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010444-n000004",
   "batch_fingerprint": "d655f8e02907f1db7708638219a7ab122f3fd951223e3ed90823c34fde43bd41",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010444-n000004-0000-9d745a6c382931c1.parquet",
-      "sha256": "9d745a6c382931c1b5680c159b77aab69a144446606d6aa93f639d8809606d92",
-      "bytes": 161713,
-      "rows": 13,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010445.lean\",\"c631e018170c9994ca966710b8966e883c3321046318e671c4384313cb308460\",0,\"moron_method_correctness\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010446.lean\",\"d6d02245a0727df6227ff63886c011d55a25715a5b270bd8688efd835c62007e\",0,\"lean_workbook_11749\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010447.lean\",\"b47a5d0e751fc45cf5b2599cfdf18d394206b2c4902e8e7cf6722a612e4cf475\",0,\"lean_workbook_plus_8674\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161713,
+      "path": "data/train/pdf/oproofs-s00002-r00010444-n000004-0000-9d745a6c382931c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9d745a6c382931c1b5680c159b77aab69a144446606d6aa93f639d8809606d92"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010448-n000004.json b/manifests/batches/oproofs/s00002-r00010448-n000004.json
index 192ffadfa3e7eefbc3c6936e5c553a93ee098acf..9f4ccb37103b3121b0d287355ba5458d725ec893 100644
--- a/manifests/batches/oproofs/s00002-r00010448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010448-n000004",
   "batch_fingerprint": "364a2f1e3e03208776a9224674668c6f69c4936a594ecc7804d9a08d8930ad45",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010448-n000004-0000-2359e358d9721101.parquet",
-      "sha256": "2359e358d97211013330d49a25a7df0000dbde03a42ccdb41946b909b06441d5",
-      "bytes": 406256,
-      "rows": 25,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010449.lean\",\"c9e0037ce1d6139b630e58efc7744181fb59253a75df755b7f68c31790480d57\",0,\"lean_workbook_19166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010450.lean\",\"167cfbca0731217a3795fcc02ad002dd0c5ea698f35cae30ca27c76bcf2ec0b4\",0,\"lean_workbook_plus_43346\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010451.lean\",\"572102502cea637eaf896bc5a383b26db2161126c90195de4a9f925e1ec19db3\",0,\"lean_workbook_plus_43675\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406256,
+      "path": "data/train/pef/oproofs-s00002-r00010448-n000004-0000-2359e358d9721101.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "2359e358d97211013330d49a25a7df0000dbde03a42ccdb41946b909b06441d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010452-n000004.json b/manifests/batches/oproofs/s00002-r00010452-n000004.json
index 3c768913dd0bf12be4280044cd680f6810cc1969..3abe3501de8eaa34beb2d8cfd21da51203db7558 100644
--- a/manifests/batches/oproofs/s00002-r00010452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010452-n000004",
   "batch_fingerprint": "c6595d93a5c9f5b2d5b277d0999f2d34cc1c4da28afe1dc8c547e06f4d2c8f93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010452-n000004-0000-0875251f7f42b62c.parquet",
-      "sha256": "0875251f7f42b62ca4a9332cab8a2deead933f9bfca8858d937f646015e27018",
-      "bytes": 180575,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010453.lean\",\"ffabf6fc6d2b01e88911d154fd06a5d60f0842f99c06d29b7cc7b556615f6880\",0,\"pasture_rent_months\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010454.lean\",\"585a80ecf570c0efd0d2ee90873624b5dc1d786cd92e30d2131a21726843b48d\",0,\"lean_workbook_plus_39234\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010455.lean\",\"e7167537591f17acd8cb5755cbf5bd97d9fbd5f9eed6926a1b396cfada174965\",0,\"lean_workbook_plus_74466\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180575,
+      "path": "data/train/p41/oproofs-s00002-r00010452-n000004-0000-0875251f7f42b62c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0875251f7f42b62ca4a9332cab8a2deead933f9bfca8858d937f646015e27018"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010456-n000004.json b/manifests/batches/oproofs/s00002-r00010456-n000004.json
index 5241b71d398ab50d57b4c956b6f2956bf352bfd1..dacdb41a0061105bfcd3fb35b94033db6cc3143e 100644
--- a/manifests/batches/oproofs/s00002-r00010456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010456-n000004",
   "batch_fingerprint": "8cfd02c60702addea370ed3d9eb5136ca0100fb4321769603a584ae2aced9b60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010456-n000004-0000-f140f284a358a1b5.parquet",
-      "sha256": "f140f284a358a1b588f3dc45afd9c11fc0e46b30b5e4e7e962f54fd8fa9861ee",
-      "bytes": 271627,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010457.lean\",\"6a8353b0e3addee3e849c56239388ef1e9aceb975c5e02b20c9bab017dd55756\",0,\"lean_workbook_plus_79158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010458.lean\",\"ab642f30391e49ce9aa9206810babd471d8a7e9453c26a3276c624e99adca12b\",0,\"lean_workbook_plus_34433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010459.lean\",\"a59433345ce868b425af2a59bb0b38c980f4da7c5917bd7ce7cdd0f49e17e850\",0,\"lean_workbook_26034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271627,
+      "path": "data/train/p89/oproofs-s00002-r00010456-n000004-0000-f140f284a358a1b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f140f284a358a1b588f3dc45afd9c11fc0e46b30b5e4e7e962f54fd8fa9861ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010460-n000004.json b/manifests/batches/oproofs/s00002-r00010460-n000004.json
index 8ded55dcc14317e35edd6609b27721d82597f698..b355917520aac9c0f696555c7a8ce8b4b088180c 100644
--- a/manifests/batches/oproofs/s00002-r00010460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010460-n000004",
   "batch_fingerprint": "709009b8a8ef560fa1ad43dfedfe7398084dec7845f1c9fb90680d4c0d726c20",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010460-n000004-0000-10181effb18cd93e.parquet",
-      "sha256": "10181effb18cd93e844b89047fec29b1288b51d52bfb6091651c79d41a021040",
-      "bytes": 183049,
-      "rows": 18,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010461.lean\",\"bf3b0c7dab1e626ef4ed7a62c4e9d32797e5f41ebec7542950d927c36cfc254e\",0,\"lean_workbook_plus_70914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010462.lean\",\"ed4b04b9a808403ddf287a41b222290099fcf628f2027d144fb53817f991a226\",0,\"lean_workbook_plus_8762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010463.lean\",\"6194e67b00259d4f9b23901c73cadb2a12c5ee4c9a7f9bc5a0e4b55796ae4bbf\",0,\"right_triangle_area_with_altitude\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 183049,
+      "path": "data/train/p8a/oproofs-s00002-r00010460-n000004-0000-10181effb18cd93e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "10181effb18cd93e844b89047fec29b1288b51d52bfb6091651c79d41a021040"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010464-n000004.json b/manifests/batches/oproofs/s00002-r00010464-n000004.json
index 77799e0860a7a32e5aa81d6612e3dd2b28abc796..dbb1908b1d264f0e1b717877e86964e60416a3c8 100644
--- a/manifests/batches/oproofs/s00002-r00010464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010464-n000004",
   "batch_fingerprint": "de3fddee8fb1329cd5c16f9be75478b8d37109e24ad3244f8560710f11e30ad7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010464-n000004-0000-8fdf6672d57ebbf7.parquet",
-      "sha256": "8fdf6672d57ebbf7d8abfec2c49ec78cd7de769bbd481131fecd4ab6a8eab34b",
-      "bytes": 129027,
-      "rows": 17,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010465.lean\",\"2eaf14f5a3e91c2b910f0e15ec3bfce87e390853280ac1eaa93abefb05f8bf7e\",0,\"lean_workbook_plus_23751\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010466.lean\",\"d46231fb2a673bb45388bbfd9a14c60c4179c9d8e2abdf7192d0c35329ee314e\",0,\"lean_workbook_plus_44883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010467.lean\",\"ec1455726a790b2207eded4aae5778e02dc6cbd9a2765400d9d0918874b98acd\",0,\"lean_workbook_plus_65636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129027,
+      "path": "data/train/p95/oproofs-s00002-r00010464-n000004-0000-8fdf6672d57ebbf7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8fdf6672d57ebbf7d8abfec2c49ec78cd7de769bbd481131fecd4ab6a8eab34b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010468-n000004.json b/manifests/batches/oproofs/s00002-r00010468-n000004.json
index a6fc9656ab0dae9aef1c30878b6efd19d4756d7c..c24aec4fa9f04b061759fad9e8d6e3a705e5bb74 100644
--- a/manifests/batches/oproofs/s00002-r00010468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010468-n000004",
   "batch_fingerprint": "fb5815f848140addf3c3e64cc9ad37e099eb94a5f670ca11c2eab2653d29d986",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010468-n000004-0000-474bdb19ab9d13f8.parquet",
-      "sha256": "474bdb19ab9d13f86b5475155aba2ddf2e134bbc891a983128279288b60f823a",
-      "bytes": 340815,
-      "rows": 19,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10469",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010469.lean\",\"cda89c08b6668a34ae92b7eba7f180a30b34b66df0c3a31fc68dfd70a17d5776\",0,\"lean_workbook_plus_72477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010470.lean\",\"7165065a7f268c4d108b849711da60c16198de3526246e79cbe24092c58cb0ea\",0,\"lean_workbook_plus_43221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010471.lean\",\"78cf2b06ef84606635ddbf27322049421d366f45e67747e08180583720e7d498\",0,\"lean_workbook_plus_70856\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 340815,
+      "path": "data/train/p42/oproofs-s00002-r00010468-n000004-0000-474bdb19ab9d13f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "474bdb19ab9d13f86b5475155aba2ddf2e134bbc891a983128279288b60f823a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010472-n000004.json b/manifests/batches/oproofs/s00002-r00010472-n000004.json
index f7bb7d557f3038c02a93a267cdf7c2204a2335d5..580dfdee7c84cdbad05aed657472c27c990d23ce 100644
--- a/manifests/batches/oproofs/s00002-r00010472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010472-n000004",
   "batch_fingerprint": "1b53587a1ded0989cc199047e6a98f7df9fce918ddd164f20e74baad122dbabf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010472-n000004-0000-676142721ededd01.parquet",
-      "sha256": "676142721ededd01b0bd8d53e592fd0a8c9ff953305bd0f0c095506ad522ab0d",
-      "bytes": 181310,
-      "rows": 7,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010472-n000004-0000-8f038a8363a5d623.parquet",
-      "sha256": "8f038a8363a5d6235fe9be4e8fb09eba464a7b7ada8ca0a8099002a1e4cc8915",
-      "bytes": 176182,
-      "rows": 12,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010473.lean\",\"430c01f9c7e5d8d7f1d513582bb40b8972579746206accb4aa768927ec9ec105\",0,\"lean_workbook_plus_78513\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010474.lean\",\"cfa642707f0fdd334717f0f0b86f74933038bc63f8c5c98d6e31ce5943344bd4\",0,\"lean_workbook_plus_38604\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010475.lean\",\"61a5691e239df24342e79d9c88fcf288ad6b724b5c7600f2c36ec57db6d6df63\",0,\"lean_workbook_12224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181310,
+      "path": "data/train/pa1/oproofs-s00002-r00010472-n000004-0000-676142721ededd01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "676142721ededd01b0bd8d53e592fd0a8c9ff953305bd0f0c095506ad522ab0d"
+    },
+    {
+      "bytes": 176182,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00010472-n000004-0000-8f038a8363a5d623.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8f038a8363a5d6235fe9be4e8fb09eba464a7b7ada8ca0a8099002a1e4cc8915"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010476-n000004.json b/manifests/batches/oproofs/s00002-r00010476-n000004.json
index 6c84be364c7d054b4a6952105590d5504d180e67..531b5707627b5a3c830ad0a10f21a6d3ec38b405 100644
--- a/manifests/batches/oproofs/s00002-r00010476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010476-n000004",
   "batch_fingerprint": "5adb176bc95edfc754d9557dbaa76082f7bf60c9fc782763734de29b1365b2bf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010476-n000004-0000-48115ce4c438e085.parquet",
-      "sha256": "48115ce4c438e08561a67db0464e3cddabce8755810e6ba1b92eced07fe48a1f",
-      "bytes": 266352,
-      "rows": 12,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010477.lean\",\"809314bbf0c065704840f5da7c538b7f511a2050c1ff60fa8d9ab084f0d3bc33\",0,\"lean_workbook_plus_60898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010478.lean\",\"149b21fb9a8af0ec951469b770a8458fd33716f95e891b8a87a4c74b2acf0341\",0,\"lean_workbook_25361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010479.lean\",\"1c1fcb754e79811d080dff518f3f77ceea1f13481c8e1f3bdc310694e4a370ce\",0,\"lean_workbook_plus_62532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 266352,
+      "path": "data/train/p81/oproofs-s00002-r00010476-n000004-0000-48115ce4c438e085.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "48115ce4c438e08561a67db0464e3cddabce8755810e6ba1b92eced07fe48a1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010480-n000004.json b/manifests/batches/oproofs/s00002-r00010480-n000004.json
index 408b8ab5d59ef8605b4e8f6b2b3a921068841f0a..bf900d3ebc508e690860863919d2853bd3f8caaa 100644
--- a/manifests/batches/oproofs/s00002-r00010480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010480-n000004",
   "batch_fingerprint": "f5a5109b83e49b09651a2ee0aef5931aae1250d3344c1f6bc50900b19e49d74e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010480-n000004-0000-13474e8f154a5f7c.parquet",
-      "sha256": "13474e8f154a5f7ce5323907da343101581e415457626abfa973fa608c618416",
-      "bytes": 312130,
-      "rows": 19,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010481.lean\",\"d6af1e3b837423d1240790fc1c6f2591f239024d7f6835f3923c1dbaab5bc04c\",0,\"lean_workbook_plus_43104\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010482.lean\",\"6015947ba939c33b1cf3ebdab5bbd9e90d36e7139d671cef43d5e26da3bf909e\",0,\"lean_workbook_plus_35120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010483.lean\",\"0a271dc23a220edd09009d6812f8678afacb4835a2e96e6e6ea7447a1bee2b42\",0,\"lean_workbook_plus_52933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312130,
+      "path": "data/train/peb/oproofs-s00002-r00010480-n000004-0000-13474e8f154a5f7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "13474e8f154a5f7ce5323907da343101581e415457626abfa973fa608c618416"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010484-n000004.json b/manifests/batches/oproofs/s00002-r00010484-n000004.json
index 10c83cb8e8b8e5af155d255a74f5c9cd0287c12f..749038048cf2ecfa8c3e2c0b35b966ef3d909e25 100644
--- a/manifests/batches/oproofs/s00002-r00010484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010484-n000004",
   "batch_fingerprint": "0fcfd5013b55e62d06f8b0e72db12dabde5740bbe73d0a79cb0cba199d5ff8c8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010484-n000004-0000-d948c5691ed0eee8.parquet",
-      "sha256": "d948c5691ed0eee87ba1954e558d6a67dac549c40e60a4ad1016164ce039e729",
-      "bytes": 289009,
-      "rows": 15,
-      "revision": "72611efc91c12c828a58b3dab77266698552ce60"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010484-n000004-0000-409f58b4d445b7f0.parquet",
-      "sha256": "409f58b4d445b7f0b09d9fd02d849bb2c5c71dda7cdb7a2a8f745b34b237e578",
-      "bytes": 179855,
-      "rows": 3,
-      "revision": "72611efc91c12c828a58b3dab77266698552ce60"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010485.lean\",\"e02913f6dcdbd502464e11d2a7057fa520d4d2f920206d238f25efe757f2b824\",0,\"lean_workbook_17343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010486.lean\",\"dbe60b535eba2ff05e0fcb22544e3a2bb5faec01a750aa4e8c37c81eba51700c\",0,\"lean_workbook_3790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010487.lean\",\"58b8c7b274cc723693322bbbfbe836d8a88adc82f8505f8d13e8aaa1b567be87\",0,\"lean_workbook_plus_61449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289009,
+      "path": "data/train/pad/oproofs-s00002-r00010484-n000004-0000-d948c5691ed0eee8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "d948c5691ed0eee87ba1954e558d6a67dac549c40e60a4ad1016164ce039e729"
+    },
+    {
+      "bytes": 179855,
+      "path": "data/internal_test/pad/oproofs-s00002-r00010484-n000004-0000-409f58b4d445b7f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "409f58b4d445b7f0b09d9fd02d849bb2c5c71dda7cdb7a2a8f745b34b237e578"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010488-n000004.json b/manifests/batches/oproofs/s00002-r00010488-n000004.json
index 4cddf4c89e6ee2a97ee7ed17c562ec9bbb44392a..fea8617a31280931959f1272e2f05dc381b5f384 100644
--- a/manifests/batches/oproofs/s00002-r00010488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010488-n000004",
   "batch_fingerprint": "1d53fa2f60f45994b69fbd5331d43da64fc19c937471143cff892ee500ff4a40",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010488-n000004-0000-105e65f94555d01e.parquet",
-      "sha256": "105e65f94555d01e414ff443f33ddffee2232023cce381e13a06d4dc8d15ac4f",
-      "bytes": 279978,
-      "rows": 16,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010489.lean\",\"5cb7d43b123bd0c7cc0de6a184ca1a929de26586da3c23d224ccc21693604166\",0,\"lean_workbook_22081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010490.lean\",\"4b6a83445a48fe03bfc88c3133c2642b3f0683455dfec9c01e3e3a862cd2d3b4\",0,\"lean_workbook_plus_78869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010491.lean\",\"380905262c5fd408fbeee8a3c9d351722fd5ad8da195773a1de8443c79856814\",0,\"lean_workbook_plus_27998\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279978,
+      "path": "data/train/p2a/oproofs-s00002-r00010488-n000004-0000-105e65f94555d01e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "105e65f94555d01e414ff443f33ddffee2232023cce381e13a06d4dc8d15ac4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010492-n000004.json b/manifests/batches/oproofs/s00002-r00010492-n000004.json
index e7b38bccbd28e7bc94195f3cc280facc003e39c9..85237dcb336913c6355f062baf28922b5f9cdc97 100644
--- a/manifests/batches/oproofs/s00002-r00010492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010492-n000004",
   "batch_fingerprint": "428ef35912586f7c26f7ae242e31d2c296bb26197a1696f56bbe457574c24239",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010492-n000004-0000-4aa1505d62d86260.parquet",
-      "sha256": "4aa1505d62d86260870d3abdd9587e15ae3420414a055f9e95e7aa333ee2d798",
-      "bytes": 181799,
-      "rows": 15,
-      "revision": "d16dbc9a148f10ee589fedd21dc31190c5d228ac"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010493.lean\",\"2ab1c88fd1b770981fe619ada8e626d2a49c0b0a4a5b6d89d46423c9dd4135dd\",0,\"lean_workbook_plus_70998\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010494.lean\",\"7d290edb7151ee875ed27fdf3996b1d760afb626bb8de40504cca4e9f23d9893\",0,\"lean_workbook_plus_38253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010495.lean\",\"1b16b05c5cfc8f8a9212e9a71b386d433a65e589dbff448d94be66361546348b\",0,\"lean_workbook_49558\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181799,
+      "path": "data/train/pf0/oproofs-s00002-r00010492-n000004-0000-4aa1505d62d86260.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4aa1505d62d86260870d3abdd9587e15ae3420414a055f9e95e7aa333ee2d798"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010496-n000004.json b/manifests/batches/oproofs/s00002-r00010496-n000004.json
index 0ddef2966fc2267cfc321d2a17859ddd034e02a3..7e920829d71a36b2d27131a16ef3903ce9920b24 100644
--- a/manifests/batches/oproofs/s00002-r00010496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010496-n000004",
   "batch_fingerprint": "a958198b1dbf51fedc953b746ffba0bc1febf59e9de271f9270d83509d4cf3cf",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010496-n000004-0000-85feac25adab6367.parquet",
-      "sha256": "85feac25adab63679a6544a749fbf390c3718dd6db6fb8341a2a8b5b7df38f46",
-      "bytes": 67226,
-      "rows": 5,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010496-n000004-0000-4230a464efa2ceae.parquet",
-      "sha256": "4230a464efa2ceae4a61675e9f3e1a245f757966491726f603cf3b9753c1e4dd",
-      "bytes": 78386,
-      "rows": 7,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10497",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010496.lean\",\"605bf0484bb3ee5f0dbd4f640086c4ba2ba7e54535315d04923a0aa9cabb6531\",0,\"lean_workbook_plus_44506\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010497.lean\",\"d8d6d57353246957eb4740dea56301219f56c4f407900568ef4483088d7bedad\",0,\"lean_workbook_plus_62363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010498.lean\",\"03bb3cbccd61b6f00854343854d053b0b9d8ca7dcd09cfa42ead25713a75b5b7\",0,\"lean_workbook_plus_63177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67226,
+      "path": "data/train/p04/oproofs-s00002-r00010496-n000004-0000-85feac25adab6367.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "85feac25adab63679a6544a749fbf390c3718dd6db6fb8341a2a8b5b7df38f46"
+    },
+    {
+      "bytes": 78386,
+      "path": "data/internal_test/p04/oproofs-s00002-r00010496-n000004-0000-4230a464efa2ceae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4230a464efa2ceae4a61675e9f3e1a245f757966491726f603cf3b9753c1e4dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010500-n000004.json b/manifests/batches/oproofs/s00002-r00010500-n000004.json
index f4b50307930f137e2bc18508c003d9c45affa950..7b185d3e9a36335e03e32b65540fa7c553bcc107 100644
--- a/manifests/batches/oproofs/s00002-r00010500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010500-n000004",
   "batch_fingerprint": "f4414a8194276704b82d801c8b3df9237fd8167e9ea44ae99942baab305b6d76",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010500-n000004-0000-8a78a9378fea035d.parquet",
-      "sha256": "8a78a9378fea035d601998cc0f2f4748c5b1e758d7e55f94c9b2cf0f061d7ab8",
-      "bytes": 225712,
-      "rows": 19,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010501.lean\",\"958ff2c12a0753293a0cd9713edeb55c289c88002b360f26917ce3a79cb904f1\",0,\"lean_workbook_plus_6118\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010502.lean\",\"4a94a2a048821d4c6d08a38610ee98f6beee42e5424431b266f92070c071dd86\",0,\"lean_workbook_plus_10236\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010503.lean\",\"ecf4c8b8ac91fd73cb84c00c8b55f3c994a96ee855fbf5f5273d372c06ebf664\",0,\"division_integer_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225712,
+      "path": "data/train/p29/oproofs-s00002-r00010500-n000004-0000-8a78a9378fea035d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8a78a9378fea035d601998cc0f2f4748c5b1e758d7e55f94c9b2cf0f061d7ab8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010504-n000004.json b/manifests/batches/oproofs/s00002-r00010504-n000004.json
index 6e9ef5b2aebc71ce2566b04dd72ca886df1746f5..38dfd7f2b3d0f0827fae2fd4ed9f94be9c7b7a8b 100644
--- a/manifests/batches/oproofs/s00002-r00010504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010504-n000004",
   "batch_fingerprint": "e7bcb0e4cc9b146fa47e03bcdf36fb18a186ddac298855f3852cc71bfb5c1818",
   "evidence": {
@@ -41,15 +40,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010504-n000004-0000-ffa304a6455c992b.parquet",
-      "sha256": "ffa304a6455c992bb92c3a0cf53fba1b4b319ed13219bff21e2ed48ca17e41b9",
-      "bytes": 1317320,
-      "rows": 21,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10505",
@@ -59,5 +50,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010504.lean\",\"6d229eae1f38897d01b5159751c3a78e08fde7d540c23f25f706ae74a65ee6a2\",0,\"lean_workbook_plus_12123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010505.lean\",\"dc5249e6b06a0d861d5dd974a8accaac113504460c6bc3172c7590927e6a08ca\",0,\"lean_workbook_37967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010506.lean\",\"5ff40feaba2a96fc52b4b469f32b181eae1cbf7855ea7af44b35d2d824181a2e\",0,\"lean_workbook_plus_26944\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1317320,
+      "path": "data/train/pfd/oproofs-s00002-r00010504-n000004-0000-ffa304a6455c992b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "ffa304a6455c992bb92c3a0cf53fba1b4b319ed13219bff21e2ed48ca17e41b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010508-n000004.json b/manifests/batches/oproofs/s00002-r00010508-n000004.json
index 3e602979d0684df00b077955f9d62e1df41a049f..c3d0031569a94cac7f5915c47ce13f2650c4b105 100644
--- a/manifests/batches/oproofs/s00002-r00010508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010508-n000004",
   "batch_fingerprint": "fcfdab918d9fa3d2f5db6c6065b9648e46f49bce0408f4228bfac133b139a642",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010508-n000004-0000-d82eba195dbb9ee9.parquet",
-      "sha256": "d82eba195dbb9ee953c30ee11e3d798086994809ec6e6983d05578364f98d2fa",
-      "bytes": 222673,
-      "rows": 21,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010509.lean\",\"2d1344ffd090e2421b12559c0ec21f4eb854c175979885def4947f8c0624f0e1\",0,\"lean_workbook_plus_60658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010510.lean\",\"74cbfa99b835f17112b4988e4a327b8f1d0d04a19cd6c298f9076907d554b119\",0,\"lean_workbook_10946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010511.lean\",\"eeab978519d12f2ccbded65628f628158caa226166251fbe9ece20330103648c\",0,\"lean_workbook_plus_43122\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222673,
+      "path": "data/train/p11/oproofs-s00002-r00010508-n000004-0000-d82eba195dbb9ee9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "d82eba195dbb9ee953c30ee11e3d798086994809ec6e6983d05578364f98d2fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010512-n000004.json b/manifests/batches/oproofs/s00002-r00010512-n000004.json
index 849e000e942d73e7edab5c5a2407ec46720edcb6..7a144f1a638ffc22095e2d189d832f67e37f86e8 100644
--- a/manifests/batches/oproofs/s00002-r00010512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010512-n000004",
   "batch_fingerprint": "40a50ff41b68639fe5d07e21d7b6dac1723b3767554991beecee958b6554a0d3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010512-n000004-0000-8cc9482ea0acaeb3.parquet",
-      "sha256": "8cc9482ea0acaeb38b831ad21bca6c58e7ce2bc7174f0ec93e79efe6208b4be1",
-      "bytes": 151773,
-      "rows": 13,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10513",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010513.lean\",\"946a6f75fb6d823b508ac60df3c8a7241e9e49987e35b039f8fe1db06cc682f5\",0,\"lean_workbook_plus_43894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010514.lean\",\"8ec7e255c93cd879951b5d525b70ae9b6fb1788d1616db90093ec833873b364c\",0,\"lean_workbook_plus_31963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010515.lean\",\"9c716517cdeb8885d62ab39cbae74cabbb5eb9ed8e009e67071387772f898f2e\",0,\"lean_workbook_plus_58370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151773,
+      "path": "data/train/pdd/oproofs-s00002-r00010512-n000004-0000-8cc9482ea0acaeb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8cc9482ea0acaeb38b831ad21bca6c58e7ce2bc7174f0ec93e79efe6208b4be1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010516-n000004.json b/manifests/batches/oproofs/s00002-r00010516-n000004.json
index ba0f4cb32661abb36b3bfcd5017aabe9cfa69440..3d997a9cc099e3859d0622c0898048508bfb0b04 100644
--- a/manifests/batches/oproofs/s00002-r00010516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010516-n000004",
   "batch_fingerprint": "6aa19d8cafff93daf4863082bf920c475bb0a7dab0de7e8793949f972e3859a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010516-n000004-0000-ea9d7f6a8a997ee7.parquet",
-      "sha256": "ea9d7f6a8a997ee754dfa955249691ff944baab5da6ae8943c9f5d367fc1a126",
-      "bytes": 324312,
-      "rows": 23,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010517.lean\",\"fea1f1eef2c0ca969a655bb3ce6943c8ffccbcf0050d83d0f72b5834a937d2cc\",0,\"lean_workbook_plus_17329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010518.lean\",\"bf664af84237e4b7896148f144866dc060bdc3d5c4700d4cf497fffafcc43a63\",0,\"lean_workbook_3924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010519.lean\",\"4c1e1c35861bcf62ba6a2d7d7869a0149f6247dfd48ef4d2ee240931b4ec90b0\",0,\"lean_workbook_plus_27906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324312,
+      "path": "data/train/pd2/oproofs-s00002-r00010516-n000004-0000-ea9d7f6a8a997ee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "ea9d7f6a8a997ee754dfa955249691ff944baab5da6ae8943c9f5d367fc1a126"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010520-n000004.json b/manifests/batches/oproofs/s00002-r00010520-n000004.json
index e252a4a61bd5ca3714bdbdf9a805b35ff963104e..6ad86ebbf9fb5d7e77e1dc85ab2567466934c101 100644
--- a/manifests/batches/oproofs/s00002-r00010520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010520-n000004",
   "batch_fingerprint": "5c8a3cbd825cdaec8c1b932d14cc6b039f8b0800de1adedfe689ad9ef78ecef8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010520-n000004-0000-92e0c13c1b61aa09.parquet",
-      "sha256": "92e0c13c1b61aa0992d5b9605f268b6f24e5f95d585e098ba31784b9035a6203",
-      "bytes": 343919,
-      "rows": 18,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10521",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010521.lean\",\"07e3831cdc5e2743e5b7cc67a6aa46651af0d735b13c7576441c34ebe12687e7\",0,\"lean_workbook_16010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010522.lean\",\"136a19c940cdf1d477b21246de806e251fd2efad12bfc72b44a673044c926a47\",0,\"lean_workbook_plus_59343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010523.lean\",\"7a12727860d64d91e49becc3022e674eb6454a7bc9a4597f481f93d842fa0e27\",0,\"lean_workbook_plus_40277\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 343919,
+      "path": "data/train/p50/oproofs-s00002-r00010520-n000004-0000-92e0c13c1b61aa09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "92e0c13c1b61aa0992d5b9605f268b6f24e5f95d585e098ba31784b9035a6203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010524-n000004.json b/manifests/batches/oproofs/s00002-r00010524-n000004.json
index 4a7631a0b5750696145a81f23930da9bcf9b757b..7d589fc946e7e53f9c1002880708029853406172 100644
--- a/manifests/batches/oproofs/s00002-r00010524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010524-n000004",
   "batch_fingerprint": "498de54b66d3911d416b19e1e04acb744462a6cd87e8e19576bc98f6a1321544",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010524-n000004-0000-5a36ede46d6c90d9.parquet",
-      "sha256": "5a36ede46d6c90d9c59eb3cbc2f47bf4582511cfe5ccaac197a5082efb640d94",
-      "bytes": 355497,
-      "rows": 19,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010525.lean\",\"e6f4accfd45e158f57cd27abec2baf983d785e84e67214b9f5655aecd5c94b37\",0,\"lean_workbook_plus_70446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010526.lean\",\"883475a44b6365a354bafa94be09508334ee2916fc1029f353a87adbf56c371d\",0,\"lean_workbook_plus_36411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010527.lean\",\"2bef576468863c46d0bf0090aaec0a32019bc4dbf84fbf64e6a773563cea0791\",0,\"lean_workbook_plus_66073\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355497,
+      "path": "data/train/p19/oproofs-s00002-r00010524-n000004-0000-5a36ede46d6c90d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5a36ede46d6c90d9c59eb3cbc2f47bf4582511cfe5ccaac197a5082efb640d94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010528-n000004.json b/manifests/batches/oproofs/s00002-r00010528-n000004.json
index ebc82f1e2322bf2c0de65eb63bcc65a4adf0746f..53cc9162986d56583d0c7fe3ac94226d2adc930a 100644
--- a/manifests/batches/oproofs/s00002-r00010528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010528-n000004",
   "batch_fingerprint": "3238026cdab811f094ed09f4e9a5bedde7e52e2e094faedca4b9dfd84589ddc1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010528-n000004-0000-cba5569fc74eb3f4.parquet",
-      "sha256": "cba5569fc74eb3f4e00d1a3d6b603300f132d0d0776e2c667b91df8fc57310fe",
-      "bytes": 119533,
-      "rows": 13,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010529.lean\",\"11e3019e3639f4d716aa037f40e124ecfd6cca16f6553bb358a340b653af0a5a\",0,\"lean_workbook_plus_8762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010530.lean\",\"e4103afdd70ea208456077aefcbdd546930bd42ff8a604fe0706df7f9578c674\",0,\"lean_workbook_plus_44883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010531.lean\",\"1829b312539dbd8117bef2a01e362a7318fc7525e62a655f0bc85a5728d8ec92\",0,\"lean_workbook_plus_65636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119533,
+      "path": "data/train/pb5/oproofs-s00002-r00010528-n000004-0000-cba5569fc74eb3f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cba5569fc74eb3f4e00d1a3d6b603300f132d0d0776e2c667b91df8fc57310fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010532-n000004.json b/manifests/batches/oproofs/s00002-r00010532-n000004.json
index fd6f0c7a0eec712f1f28c6f07709a0a968bd831e..b16b8e472776ca4f392784426f54f04ff1e7fa17 100644
--- a/manifests/batches/oproofs/s00002-r00010532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010532-n000004",
   "batch_fingerprint": "c71b583615314b76977fa4f49f5495d59ac1674d10b7c60fa9051a5a38f86bb8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010532-n000004-0000-4a7411c096929b79.parquet",
-      "sha256": "4a7411c096929b79c83ca44dc0696d0eab0c21419c7bbe3b01eb36419d663078",
-      "bytes": 281793,
-      "rows": 15,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010533.lean\",\"153faad6186938c504f4772c8fd89da25ee67df452839a6e9f51367775d653ff\",0,\"lean_workbook_plus_43221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010534.lean\",\"724504554a2ba5937def2acd3897217314255773818fbdaa2feccf2e02fc6089\",0,\"lean_workbook_plus_72477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010535.lean\",\"51d059330e4ccced88d17beaf652398da27341eb2d14b56a67375476ad124033\",0,\"lean_workbook_plus_59082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 281793,
+      "path": "data/train/p35/oproofs-s00002-r00010532-n000004-0000-4a7411c096929b79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "4a7411c096929b79c83ca44dc0696d0eab0c21419c7bbe3b01eb36419d663078"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010536-n000004.json b/manifests/batches/oproofs/s00002-r00010536-n000004.json
index 8620546409ef4238d2fb50a0d4a7cd9772e53b7f..61ea2af5b24e3d5fa2c11922f8d91c0d5892ad3b 100644
--- a/manifests/batches/oproofs/s00002-r00010536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010536-n000004",
   "batch_fingerprint": "2394307ebadd43868fa4130971428be6fb80091680e174c40639be50f100d580",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010536-n000004-0000-ed7c7da1e0c878ea.parquet",
-      "sha256": "ed7c7da1e0c878eae177b0dcad22491375a7cf76d0e30dfea3ce2cb858a75870",
-      "bytes": 251120,
-      "rows": 12,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010536-n000004-0000-a6b3a03f8dd3e51f.parquet",
-      "sha256": "a6b3a03f8dd3e51f02b70bd1d1739a5a77b644b4125ebfb4289ea118ac5ef895",
-      "bytes": 73737,
-      "rows": 5,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010537.lean\",\"b549e88c1c3b66632d42c8f6a3e090c8e412806d376d674f95076b404365a3ab\",0,\"lean_workbook_plus_33277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010538.lean\",\"6ac370ccf02df52084fd502578d6015bd8990cf54eb86e2c602b0f240e8219aa\",4,\"power_of_power\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010539.lean\",\"df636120a8055143d75fd81552ad3a73d40ae2926bc83c8f868a56e8ba4bcd43\",0,\"lean_workbook_plus_78513\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251120,
+      "path": "data/train/p9f/oproofs-s00002-r00010536-n000004-0000-ed7c7da1e0c878ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ed7c7da1e0c878eae177b0dcad22491375a7cf76d0e30dfea3ce2cb858a75870"
+    },
+    {
+      "bytes": 73737,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00010536-n000004-0000-a6b3a03f8dd3e51f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "a6b3a03f8dd3e51f02b70bd1d1739a5a77b644b4125ebfb4289ea118ac5ef895"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010540-n000004.json b/manifests/batches/oproofs/s00002-r00010540-n000004.json
index 44b66478d7e3633fed0e002db172548978008bf4..21c1baef26913cc8f20a5c2dc46f2f8914b3906f 100644
--- a/manifests/batches/oproofs/s00002-r00010540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010540-n000004",
   "batch_fingerprint": "5f8e2b6448e328c1c52edc27c62c05a53c470dc22b10679ded34f34f89126d93",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010540-n000004-0000-14dbc4d1ebf5b13d.parquet",
-      "sha256": "14dbc4d1ebf5b13db7878f73b4ca9d17a14c85a7500242d2ba62eba5af3dfa0a",
-      "bytes": 751033,
-      "rows": 19,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010541.lean\",\"77842cd2b75d156648f92692cfa0fe10c14167c8a48917a7534bc1f25d023ab4\",0,\"lean_workbook_plus_4908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010542.lean\",\"605bbe5fb9b4b6e51a7532c41ad7338d925dfc6da48f472f064fc2d4ee2b3dcb\",0,\"lean_workbook_plus_47076\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010543.lean\",\"ee219dbb694a95fc15b5e7f0ed384d393d67091a9c73c557e817f9c37cc312d8\",0,\"lean_workbook_plus_31195\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 751033,
+      "path": "data/train/p46/oproofs-s00002-r00010540-n000004-0000-14dbc4d1ebf5b13d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "14dbc4d1ebf5b13db7878f73b4ca9d17a14c85a7500242d2ba62eba5af3dfa0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010544-n000004.json b/manifests/batches/oproofs/s00002-r00010544-n000004.json
index cd962c34e78d274054742a1a0aa8034a7b4dc3bc..89be429bb996b0628b63ffd99fea7c25667c9e7a 100644
--- a/manifests/batches/oproofs/s00002-r00010544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010544-n000004",
   "batch_fingerprint": "76448823f44a151fd0ee018362f5ec643c3b7348dc89a27ce154873e3b0ca3b1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010544-n000004-0000-c3be159b58ad1c47.parquet",
-      "sha256": "c3be159b58ad1c47922266bffb16920b19f391b846ef504bdfe3e25942e65ac1",
-      "bytes": 316876,
-      "rows": 19,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010545.lean\",\"25829f9cdae644fd4453912571500c2dae7ae9e8030e497a138bf1b9b1402213\",0,\"lean_workbook_plus_60898\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010546.lean\",\"25b090452311c004432eb2036b5cf8d09cf7502e06bd1fb5fe82fc0d78ad5743\",0,\"lean_workbook_25361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010547.lean\",\"a6256daf08e400647f2f3018c526639f56851a237a19c8b21a200c1905e9968c\",0,\"lean_workbook_plus_62532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316876,
+      "path": "data/train/p45/oproofs-s00002-r00010544-n000004-0000-c3be159b58ad1c47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c3be159b58ad1c47922266bffb16920b19f391b846ef504bdfe3e25942e65ac1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010548-n000004.json b/manifests/batches/oproofs/s00002-r00010548-n000004.json
index 1fa6bf80f2157dbd910527ddeca3269bb296e5ae..f7ff6e4fef2a73e925a8f48ab0ac9a7a7a4d585b 100644
--- a/manifests/batches/oproofs/s00002-r00010548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010548-n000004",
   "batch_fingerprint": "f4fbdc07cbd1afa54a9365a2361e8dc2b6c7dafeb71137295683a4dcc170168b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010548-n000004-0000-be115f23670b26a3.parquet",
-      "sha256": "be115f23670b26a3fec1c7a2ae45a737d57603b23f461232cd704b6d6cfffb93",
-      "bytes": 370622,
-      "rows": 16,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010549.lean\",\"ebd70de4df8294b11f9edad68b11bc3c7b32e0aa64ff37549da090a4cb496448\",0,\"lean_workbook_plus_21161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010550.lean\",\"e377ad922f0a830595b4127d3a3523a2247ab197ec0c0f88ce939dba0be13fdb\",0,\"lean_workbook_plus_43104\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010551.lean\",\"41d4cb2357a55835379dc27cb8c6c35200adfa227e0808adf3416a72b5e17d8c\",0,\"lean_workbook_plus_52933\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370622,
+      "path": "data/train/p5b/oproofs-s00002-r00010548-n000004-0000-be115f23670b26a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "be115f23670b26a3fec1c7a2ae45a737d57603b23f461232cd704b6d6cfffb93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010552-n000004.json b/manifests/batches/oproofs/s00002-r00010552-n000004.json
index 6fccb12df8b0468edfdc192e306737248b053d08..2ab5f578d75aaa32819f21f0978fd8571fd73514 100644
--- a/manifests/batches/oproofs/s00002-r00010552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010552-n000004",
   "batch_fingerprint": "44554262905c7b9f1de41a5fc637c9525a043fee1b24ef695b09c5ae3b728a03",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010552-n000004-0000-b99e0798789cacf4.parquet",
-      "sha256": "b99e0798789cacf46bb8a3cf63af7772f103b882defe98e3eef71d0100edd395",
-      "bytes": 410318,
-      "rows": 16,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10553",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010553.lean\",\"ac26570c7c25d2c41544d1efd476818176a79dc9bc83cdfbe3f03ab5affec29b\",0,\"lean_workbook_40206\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010554.lean\",\"8a5ca0442666ee0b33d1f18c998ca482a6f613aee2ca19c71bcd6be29547f9fc\",0,\"lean_workbook_plus_61449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010555.lean\",\"c692e61cddc9c7df6d24e589abc53ec51ea48fb98eaf2062c14ffaf025b74174\",0,\"lean_workbook_10553\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 410318,
+      "path": "data/train/pd5/oproofs-s00002-r00010552-n000004-0000-b99e0798789cacf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "b99e0798789cacf46bb8a3cf63af7772f103b882defe98e3eef71d0100edd395"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010556-n000004.json b/manifests/batches/oproofs/s00002-r00010556-n000004.json
index 8aaabf8bcd2dc537c96c0dce93bec8838ae1cd9a..63574c0efd8bd23643d32d56cc429befeaa35536 100644
--- a/manifests/batches/oproofs/s00002-r00010556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010556-n000004",
   "batch_fingerprint": "289813bbb4db193549bc379f9b9d8399655d0669d7324ad141115f1beda7b463",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010556-n000004-0000-42ad3a27fc0b352f.parquet",
-      "sha256": "42ad3a27fc0b352f808bebaa5ecd882121df99a2a188600ccbc35a4a8f20d14c",
-      "bytes": 651996,
-      "rows": 24,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010557.lean\",\"694e93626772d1b8e77a899780cc10b8887a4f3208ddadf8f345ff9b49b40c47\",0,\"lean_workbook_22081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010558.lean\",\"e58e1e216d74736202e072a7c85670fd89a40f1a9505b575115062caa6684f5c\",0,\"lean_workbook_plus_78869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010559.lean\",\"8145ff13160d6cb8be4a781ce71c3144fc4caf0fd617135a90ee121ec9df1aa8\",0,\"lean_workbook_plus_30446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 651996,
+      "path": "data/train/p07/oproofs-s00002-r00010556-n000004-0000-42ad3a27fc0b352f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "42ad3a27fc0b352f808bebaa5ecd882121df99a2a188600ccbc35a4a8f20d14c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010560-n000004.json b/manifests/batches/oproofs/s00002-r00010560-n000004.json
index eca2b81314df2a45e1e8e702c433120ad5101b3a..6ed424dafd607587e9921f6c89ddf5cc387cd81f 100644
--- a/manifests/batches/oproofs/s00002-r00010560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010560-n000004",
   "batch_fingerprint": "693c870bdf4b5f01c655ff2c270229691720ceba8c4090ea51c6f7d432809573",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010560-n000004-0000-636eb26f5673f961.parquet",
-      "sha256": "636eb26f5673f961a3a570afd15a0454f6b65484b3a06c9682fe78cd2c86ff3e",
-      "bytes": 402750,
-      "rows": 15,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010560-n000004-0000-f21fa63ab24a806c.parquet",
-      "sha256": "f21fa63ab24a806c5fad930484edd0b8f35ecc8a8da7abd8c5823c59c3fd857c",
-      "bytes": 59519,
-      "rows": 5,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010561.lean\",\"cfa63d7c7a379f81c8fc35224f38d57944c7386397138b95d564958a5c9ba2fd\",0,\"lean_workbook_49558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010562.lean\",\"edea232d1d0bf045e5c789f524d8582ec4a10c2e43515dc28375e41ff6f05b93\",0,\"lean_workbook_plus_62363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010563.lean\",\"d41721c5b4a20ec84ed8eb31cd63c4962245909e4b1f6a99e7bd246dd7651b1c\",0,\"lean_workbook_plus_44506\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402750,
+      "path": "data/train/p97/oproofs-s00002-r00010560-n000004-0000-636eb26f5673f961.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "636eb26f5673f961a3a570afd15a0454f6b65484b3a06c9682fe78cd2c86ff3e"
+    },
+    {
+      "bytes": 59519,
+      "path": "data/internal_test/p97/oproofs-s00002-r00010560-n000004-0000-f21fa63ab24a806c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f21fa63ab24a806c5fad930484edd0b8f35ecc8a8da7abd8c5823c59c3fd857c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010564-n000004.json b/manifests/batches/oproofs/s00002-r00010564-n000004.json
index 6a295ea2e7ada96d8136637ebac4eb1bbc36ec6e..2809579ffd1553046d03e3c481f053585b0dbf34 100644
--- a/manifests/batches/oproofs/s00002-r00010564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010564-n000004",
   "batch_fingerprint": "33d5efe4788538b2f8e61389be801db7358b220fe2d3b564e88bcbe05bcc7e47",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010564-n000004-0000-005f9408fa88f9dc.parquet",
-      "sha256": "005f9408fa88f9dcd3a5a3ab990b0f28e6fa479d268ea4e84aa93049a55bbf0c",
-      "bytes": 441805,
-      "rows": 15,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010564-n000004-0000-213c4e67f31f53cd.parquet",
-      "sha256": "213c4e67f31f53cd9007ddab46c2c1a1ec36644eb6c9d89ea1ae72f7eef0509f",
-      "bytes": 93474,
-      "rows": 5,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010565.lean\",\"5d87c25b64e3b153202632c40379500fb27a224cbaabf22f9e60c08e5bf97866\",0,\"lean_workbook_plus_63177\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010566.lean\",\"860045e6ee3e08d2ebb09c8daa0c07e30c2ad08c0adbe8614b085a91a7bd9145\",0,\"lean_workbook_20037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010567.lean\",\"75d3f7171ad4fcf64f57d6ea9e8ffba0b4d562dc0f19437d32ebd5e3ce76cf88\",0,\"lean_workbook_plus_21465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441805,
+      "path": "data/train/p39/oproofs-s00002-r00010564-n000004-0000-005f9408fa88f9dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "005f9408fa88f9dcd3a5a3ab990b0f28e6fa479d268ea4e84aa93049a55bbf0c"
+    },
+    {
+      "bytes": 93474,
+      "path": "data/internal_test/p39/oproofs-s00002-r00010564-n000004-0000-213c4e67f31f53cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "213c4e67f31f53cd9007ddab46c2c1a1ec36644eb6c9d89ea1ae72f7eef0509f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010568-n000004.json b/manifests/batches/oproofs/s00002-r00010568-n000004.json
index 8af8869e638a67d528c80500fb8d84b0b0fdd9c6..77639f2f0b4b5d01a78973ae7cca2ac83df47218 100644
--- a/manifests/batches/oproofs/s00002-r00010568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010568-n000004",
   "batch_fingerprint": "971ace268257b20f92521477112c5f8ef29aa1a425277e7ddfea6c4c8813ae05",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010568-n000004-0000-914fe13161bf677c.parquet",
-      "sha256": "914fe13161bf677cf1ada56990207c436d7a72b2fa56b3d1d0e6164a528cc59e",
-      "bytes": 530602,
-      "rows": 21,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010569.lean\",\"27434457f9f1028304c8b20616b1c6e7c098f4ac8f1f3ff17f546becc868428d\",0,\"division_integer_probability\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010570.lean\",\"e07213f6106957c9ab19db132f52f1f98e6413ffdda0321b684819ff298b16c8\",0,\"lean_workbook_plus_31365\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010571.lean\",\"b474ebd00fe3a316b6925901c8f7716f80079cbd0b456f72baa9619af8b966ac\",0,\"lean_workbook_plus_79392\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 530602,
+      "path": "data/train/pe6/oproofs-s00002-r00010568-n000004-0000-914fe13161bf677c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "914fe13161bf677cf1ada56990207c436d7a72b2fa56b3d1d0e6164a528cc59e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010572-n000004.json b/manifests/batches/oproofs/s00002-r00010572-n000004.json
index d97a0d6315e8283b435c3469bdc1dfa4017a4178..45fcbebbaba81feff988f73489222a51ce943b9e 100644
--- a/manifests/batches/oproofs/s00002-r00010572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010572-n000004",
   "batch_fingerprint": "2917a27b2481cbd18960a1ed5a27e6fe6ad7ec93a5d2ad29bcaa9c06d8f03e7a",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010572-n000004-0000-4b2cd11ca4093b78.parquet",
-      "sha256": "4b2cd11ca4093b7877dc8a0509474e3a2bbf96ae3f6bc645c91328a276b6d914",
-      "bytes": 229023,
-      "rows": 13,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10573",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010572.lean\",\"1067c47d2986ebcadd8709f1ee971ca984f98691cfc8834796e13daf5b2862f4\",0,\"lean_workbook_plus_2228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010573.lean\",\"8f2edb1c56f677fb2a8544563c8bfc41a284aa278d109d4f51c35597f364892a\",0,\"lean_workbook_plus_27998\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010574.lean\",\"7de3257871559680c9415a90dd06579468bf6ef0bb639afe4cec0ffcd80c6deb\",0,\"lean_workbook_plus_26944\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229023,
+      "path": "data/train/p1d/oproofs-s00002-r00010572-n000004-0000-4b2cd11ca4093b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "4b2cd11ca4093b7877dc8a0509474e3a2bbf96ae3f6bc645c91328a276b6d914"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010576-n000004.json b/manifests/batches/oproofs/s00002-r00010576-n000004.json
index 70703a8f0fe932eded9cd195009f2a457384e257..542918be2efef15bb197724233824d15fd8b3885 100644
--- a/manifests/batches/oproofs/s00002-r00010576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010576-n000004",
   "batch_fingerprint": "6133eaf21cd81eca4832a81541f928164783db77cf03369b8193628fe63a2071",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010576-n000004-0000-6289ec6d69e09f01.parquet",
-      "sha256": "6289ec6d69e09f018793453a13cc700580aca17a3268d25c26387d3d5b0f21a0",
-      "bytes": 1570506,
-      "rows": 19,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010576-n000004-0001-d5093594d41d235e.parquet",
-      "sha256": "d5093594d41d235e7a5cdf68662d4d78d505bed822c4527f627e3eb1b65b0cb5",
-      "bytes": 354255,
-      "rows": 8,
-      "revision": "1d1e7c470f5925e7b9d284db4d2ff6b832b5b9f6"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10577",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010577.lean\",\"cb9450fbddc983764c8c88280852fb517d63a25e786dd26292028d89075182e5\",0,\"lean_workbook_plus_24868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010578.lean\",\"f3093ec599c7a05a4b282dbc0cf8619c612bea1bf644b07ac52ab58dafe27915\",0,\"lean_workbook_37967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010579.lean\",\"d9ef29dbc60d8d5be3ecf03cdee1a105af0ad17dac4bcdf9d61d9603ceb5cb0a\",0,\"lean_workbook_10946\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1570506,
+      "path": "data/train/p0d/oproofs-s00002-r00010576-n000004-0000-6289ec6d69e09f01.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6289ec6d69e09f018793453a13cc700580aca17a3268d25c26387d3d5b0f21a0"
+    },
+    {
+      "bytes": 354255,
+      "path": "data/train/p0d/oproofs-s00002-r00010576-n000004-0001-d5093594d41d235e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d5093594d41d235e7a5cdf68662d4d78d505bed822c4527f627e3eb1b65b0cb5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010580-n000004.json b/manifests/batches/oproofs/s00002-r00010580-n000004.json
index 7a1c79e27a108ca1cc37ec0fcf20df4ce4c5312e..332fec9f79e59982db91dbe5a2c5d40bbfc5967b 100644
--- a/manifests/batches/oproofs/s00002-r00010580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010580-n000004",
   "batch_fingerprint": "20393432bd239ca47145f95b6ea4de07809c50dd12832cbe68084ace3e264567",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010580-n000004-0000-0a6b497bb0394378.parquet",
-      "sha256": "0a6b497bb0394378ace7ceb206c96bf8d7f87d0a825129fa64e294afe000c1b4",
-      "bytes": 131248,
-      "rows": 12,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010580-n000004-0000-dc538603b0ecdd32.parquet",
-      "sha256": "dc538603b0ecdd32fbd2a2f01960595f236b3d2c008f1924f7b92ecc8cbeda0c",
-      "bytes": 945997,
-      "rows": 5,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010581.lean\",\"90073882a9969f8733ef86ed7506029b33baca536f9e93bf8440e30b3e6f9336\",0,\"range_of_f_when_a_neg_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010582.lean\",\"b6ccd0594bb707be89111285bea2b2e0a5d8bde14fec99105b7da6665efb9829\",0,\"lean_workbook_plus_43894\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010583.lean\",\"484e9f7f99e0692b9c483f5676f2b16c2cb91742cd052b8d0ba20cdcf1123cd1\",0,\"lean_workbook_plus_58370\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131248,
+      "path": "data/train/p50/oproofs-s00002-r00010580-n000004-0000-0a6b497bb0394378.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0a6b497bb0394378ace7ceb206c96bf8d7f87d0a825129fa64e294afe000c1b4"
+    },
+    {
+      "bytes": 945997,
+      "path": "data/dev/p50/oproofs-s00002-r00010580-n000004-0000-dc538603b0ecdd32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "dc538603b0ecdd32fbd2a2f01960595f236b3d2c008f1924f7b92ecc8cbeda0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010584-n000004.json b/manifests/batches/oproofs/s00002-r00010584-n000004.json
index 4c5518b0347283b72c11626002aebdbd8a3b0d52..bb2144b9dca85c2153016001d6360335cc1b27d5 100644
--- a/manifests/batches/oproofs/s00002-r00010584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010584-n000004",
   "batch_fingerprint": "da014828d86ed6688ee21080ae68d29c15ec6a1cacdb6c836540a448897b25d1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010584-n000004-0000-4d3a3df1e3f9bebd.parquet",
-      "sha256": "4d3a3df1e3f9bebd820562bb2ce2fa7dea7457f5dcf2fe8e3f8518526b35281e",
-      "bytes": 226471,
-      "rows": 18,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010585.lean\",\"fde8eaa0c3defc7d3167352a64ce8244a670c432cbfbff650eebadab450e0bed\",0,\"equation_solution_F\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010586.lean\",\"19275c67c49feb087df6ec2f161b1f372c426b14bc762082c3f3bad6d0b2af20\",0,\"lean_workbook_plus_31981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010587.lean\",\"5fe7fd6b6eb0eb8cd7eae0411cdc7bde612cf2245247c04d67e25522018ee354\",0,\"lean_workbook_plus_61986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226471,
+      "path": "data/train/pf7/oproofs-s00002-r00010584-n000004-0000-4d3a3df1e3f9bebd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4d3a3df1e3f9bebd820562bb2ce2fa7dea7457f5dcf2fe8e3f8518526b35281e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010588-n000004.json b/manifests/batches/oproofs/s00002-r00010588-n000004.json
index 491321d9e097b18d434b5aea0d9587a71374dad9..9ec882b447c5c0f197e2182015f6f614576da2b9 100644
--- a/manifests/batches/oproofs/s00002-r00010588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010588-n000004",
   "batch_fingerprint": "1a91a4467e971371870ec68243b448923b5d7e88d6eb1a535c4008281737a8a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010588-n000004-0000-7be8872ffa3aa8c9.parquet",
-      "sha256": "7be8872ffa3aa8c92d0eb46ce9a2d50d0120feb62a904996a79738fa7a1c6ac6",
-      "bytes": 412170,
-      "rows": 19,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010589.lean\",\"be6fa91a6c8ef337c5992bfdcc803e27fce957ac77f41ccd060821150ade7838\",0,\"lean_workbook_plus_59343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010590.lean\",\"2d1631578c1a78951a57a5b9dcd16cf7cb8cf08d672144e05a7d4e09fd4167f7\",0,\"lean_workbook_plus_27906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010591.lean\",\"7a102cb52f26f8669358c8c1e0f275d55dbc2fdc34490259c15925692dba33f1\",0,\"lean_workbook_plus_40277\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 412170,
+      "path": "data/train/pc0/oproofs-s00002-r00010588-n000004-0000-7be8872ffa3aa8c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7be8872ffa3aa8c92d0eb46ce9a2d50d0120feb62a904996a79738fa7a1c6ac6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010592-n000004.json b/manifests/batches/oproofs/s00002-r00010592-n000004.json
index 54c915ea9250dc908e0bc460e9064f4865f159c9..7f7212e0410134b6250d10744c8e388b14b182ea 100644
--- a/manifests/batches/oproofs/s00002-r00010592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010592-n000004",
   "batch_fingerprint": "5cad8932e9231fca85ea16ce0cca36b551730c2551b4f8cf036a6b27e8a329d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010592-n000004-0000-234c0e06e23543d0.parquet",
-      "sha256": "234c0e06e23543d09d3286df0a6baa98dc9a573157c75f921dc422e414f560db",
-      "bytes": 173945,
-      "rows": 23,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010592-n000004-0000-03f1549c4412e5f6.parquet",
-      "sha256": "03f1549c4412e5f6779edd9c8506e2f72380fa12b739069031865bd8d04bad13",
-      "bytes": 47808,
-      "rows": 4,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10593",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010593.lean\",\"70a51500b0481faa449388c954df7e9ab29c631615881b1088de4bb48d681903\",0,\"lean_workbook_plus_70446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010594.lean\",\"a8102b8351087e6e9424b8b451325d444921e9dd7e81c37443e4128d16ce351c\",0,\"lean_workbook_31649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010595.lean\",\"1a035b608b7782ee628a0f2fc07cb72d9b9c7064fb88cccf4e65ef7a7e9c4779\",0,\"angle_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173945,
+      "path": "data/train/p36/oproofs-s00002-r00010592-n000004-0000-234c0e06e23543d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "234c0e06e23543d09d3286df0a6baa98dc9a573157c75f921dc422e414f560db"
+    },
+    {
+      "bytes": 47808,
+      "path": "data/internal_test/p36/oproofs-s00002-r00010592-n000004-0000-03f1549c4412e5f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "03f1549c4412e5f6779edd9c8506e2f72380fa12b739069031865bd8d04bad13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010596-n000004.json b/manifests/batches/oproofs/s00002-r00010596-n000004.json
index 34675eed210bacbbfce6da82943e99f4c3a4cf6f..2fd1aa71243049a7d9311b1ea78473b69a76694e 100644
--- a/manifests/batches/oproofs/s00002-r00010596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010596-n000004",
   "batch_fingerprint": "c1d6dd0e8b82abf1eb21f8a155eeaec1e278ac12fccbf069ba8d438bfbbfe48a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010596-n000004-0000-06c677a1be85d89a.parquet",
-      "sha256": "06c677a1be85d89a24d705c10f3725413f70a713cb89f744682a3d3b3ca87888",
-      "bytes": 89374,
-      "rows": 10,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010597.lean\",\"e521b23672cfd0c9eb992a49a99307c5a219befbad1a9752a2589edf45a622bb\",0,\"lean_workbook_plus_44883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010598.lean\",\"1bc707305960461e0024657c235d2276415c6a4bbdbef6fb989b0c9663996cff\",0,\"lean_workbook_26034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010599.lean\",\"ee68d71c8ad5136713f2e4f8ada1dfdd0c120c4cf209b56ac296e1003dd3f3ce\",0,\"lean_workbook_plus_65636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89374,
+      "path": "data/train/p19/oproofs-s00002-r00010596-n000004-0000-06c677a1be85d89a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "06c677a1be85d89a24d705c10f3725413f70a713cb89f744682a3d3b3ca87888"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010600-n000004.json b/manifests/batches/oproofs/s00002-r00010600-n000004.json
index e4267e8262b7c65b7711f735b798a56f5c027927..96cb1f7833e7e57af112311d0e637ef5ecd237d6 100644
--- a/manifests/batches/oproofs/s00002-r00010600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010600-n000004",
   "batch_fingerprint": "8980bab31c92344b65b169d0fef9c6e9b4eec957c0c20ea8dfd0071d91bd3207",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010600-n000004-0000-05c70ccaf693224b.parquet",
-      "sha256": "05c70ccaf693224b7a87ce807d020c7a617410375901eba3522a76aa96a9cd90",
-      "bytes": 213216,
-      "rows": 18,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010601.lean\",\"279c63b159d5a37828e63c6ebbded23f46b3058adcc814124f7cace970be7cf6\",0,\"lean_workbook_plus_70914\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010602.lean\",\"16ea9ce269cb2e5c5856edaafde717dda2cbb3b3b45912894f58205c833442ea\",0,\"lean_workbook_plus_60062\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010603.lean\",\"ecaa2c312b27f345407886c779448b9aa08cd42acea1523b7f3819783078f771\",0,\"lean_workbook_plus_59082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213216,
+      "path": "data/train/p41/oproofs-s00002-r00010600-n000004-0000-05c70ccaf693224b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "05c70ccaf693224b7a87ce807d020c7a617410375901eba3522a76aa96a9cd90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010604-n000004.json b/manifests/batches/oproofs/s00002-r00010604-n000004.json
index c99e747d1c1ac98e1a89facea4def8f685113a91..28ee0e01c8c96930fc46a7fa981ae79552ebb7a7 100644
--- a/manifests/batches/oproofs/s00002-r00010604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010604-n000004",
   "batch_fingerprint": "3d9a274d46de49107ed802fc86ed780f0a52aca2c2606cdc4956ce5d67222cd9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010604-n000004-0000-3b61e17f591751fa.parquet",
-      "sha256": "3b61e17f591751fa11752b1a236fb73c5aa1e06f292d03eeaba5e202c24da69a",
-      "bytes": 196043,
-      "rows": 17,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010605.lean\",\"022acf787c123138cf99bb732a044c62291d60d7434661f54814862ed3eed861\",0,\"right_triangle_area_with_altitude\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010606.lean\",\"63a4978da5b7d6cc9dcf26bd6132ffbd15eeab3e3d219dd95cda46af3072b0e2\",0,\"lean_workbook_plus_78513\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010607.lean\",\"91091d746a0aa82dc9bef9ef5f708d34268eb64293bacfbb01afcd465a006e9f\",0,\"lean_workbook_plus_47076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196043,
+      "path": "data/train/pac/oproofs-s00002-r00010604-n000004-0000-3b61e17f591751fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3b61e17f591751fa11752b1a236fb73c5aa1e06f292d03eeaba5e202c24da69a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010608-n000004.json b/manifests/batches/oproofs/s00002-r00010608-n000004.json
index d9c7d8f2190568dfb0ad7ec47ca884cef4bdba7a..20641cedc05d99ae915b83105cb9cbd1f43aae2b 100644
--- a/manifests/batches/oproofs/s00002-r00010608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010608-n000004",
   "batch_fingerprint": "a6a2c4a837ec5f30c97ad0898e7fb836306dbe7b7593343d400a3e98f94f7e9d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010608-n000004-0000-f8ea7b92afca236b.parquet",
-      "sha256": "f8ea7b92afca236ba787dc94d9a2f9f292259f625bf94c24bd8228e94fec8032",
-      "bytes": 221279,
-      "rows": 9,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010608-n000004-0000-82a74f9fc57eac3d.parquet",
-      "sha256": "82a74f9fc57eac3d3d15cb237334dc3e2650b6fd99301702d549c637aa2d3d7b",
-      "bytes": 110213,
-      "rows": 4,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010609.lean\",\"b20186c93e9ea14f16e21d26edad4f9073bcc678c8679c5c97061760c6eaeae1\",0,\"lean_workbook_25361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010610.lean\",\"94c1ae853315d7006265505773dd957df9108d56b71ebdd432700a47ee5b390c\",0,\"lean_workbook_plus_38604\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010611.lean\",\"0dc19abaf5ef0550f186757e27fa6e0ed177bdc356a5235bbe52f89770917eaa\",0,\"lean_workbook_plus_62532\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221279,
+      "path": "data/train/pc6/oproofs-s00002-r00010608-n000004-0000-f8ea7b92afca236b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f8ea7b92afca236ba787dc94d9a2f9f292259f625bf94c24bd8228e94fec8032"
+    },
+    {
+      "bytes": 110213,
+      "path": "data/internal_test/pc6/oproofs-s00002-r00010608-n000004-0000-82a74f9fc57eac3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "82a74f9fc57eac3d3d15cb237334dc3e2650b6fd99301702d549c637aa2d3d7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010612-n000004.json b/manifests/batches/oproofs/s00002-r00010612-n000004.json
index 62b2bdd7e9fa2e5a2296d74908c5575e9fe51d50..35497727b2defa82f576682b7b99ad3cd0df0136 100644
--- a/manifests/batches/oproofs/s00002-r00010612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010612-n000004",
   "batch_fingerprint": "e9a7b45b6ee29f0a5486658347e59ed53b0dccc9f6936a2a4d767f8fe9eb5e4c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010612-n000004-0000-eabb88d15fa84e52.parquet",
-      "sha256": "eabb88d15fa84e52081222e64a6c74860e65a712226c0156f9d56f180776b7a3",
-      "bytes": 189698,
-      "rows": 19,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010613.lean\",\"785aba086acc109a4542bd23ff8017d712419ddb36e6f4d67c86be41b27d6cc6\",0,\"lean_workbook_plus_52933\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010614.lean\",\"52f080e2e6bdc1aa52be20c704736d665b564a05c2feb93893949436d7095e15\",0,\"lean_workbook_plus_43104\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010615.lean\",\"a8e7c36de449ccc61735d56191b7b6e77321fcd5863db41c5f3c8f0f6f354218\",0,\"lean_workbook_17343\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189698,
+      "path": "data/train/p2c/oproofs-s00002-r00010612-n000004-0000-eabb88d15fa84e52.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "eabb88d15fa84e52081222e64a6c74860e65a712226c0156f9d56f180776b7a3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010616-n000004.json b/manifests/batches/oproofs/s00002-r00010616-n000004.json
index 779bc2b57206b64edaf71e66f415301c5e3e6f02..aff73013a1cbc27c1db718068fd90d0b0cfbbe54 100644
--- a/manifests/batches/oproofs/s00002-r00010616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010616-n000004",
   "batch_fingerprint": "5b6f5cfbff16256c51c7ed3aa0368f1a9c395d765201d09682a490db58160b43",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010616-n000004-0000-f21d3258c265f7c2.parquet",
-      "sha256": "f21d3258c265f7c27f12cea99f28eb2512fa8af024bf2150afee1ead672a37dd",
-      "bytes": 161954,
-      "rows": 11,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010616-n000004-0000-1c7f3e9a5c4e62d9.parquet",
-      "sha256": "1c7f3e9a5c4e62d93769d0464930f4383fda31cfa3069e8b7b61d2402360fab5",
-      "bytes": 135028,
-      "rows": 3,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010617.lean\",\"b97eb1e7996cf8d013c2fbea8e7788fe9fd785b143724372fccfe5eb636de405\",0,\"lean_workbook_10553\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010618.lean\",\"d8f90ba44c00f6414d83760cd7a57d1b4e82b107a60fd4e0b7c699ff940a7c85\",0,\"lean_workbook_3790\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010619.lean\",\"8b3229e8374cdaaf347d85c85db9723c2d8f2643f8f7c2923afc8413e702d98e\",0,\"lean_workbook_plus_35120\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161954,
+      "path": "data/train/pf3/oproofs-s00002-r00010616-n000004-0000-f21d3258c265f7c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f21d3258c265f7c27f12cea99f28eb2512fa8af024bf2150afee1ead672a37dd"
+    },
+    {
+      "bytes": 135028,
+      "path": "data/internal_test/pf3/oproofs-s00002-r00010616-n000004-0000-1c7f3e9a5c4e62d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1c7f3e9a5c4e62d93769d0464930f4383fda31cfa3069e8b7b61d2402360fab5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010620-n000004.json b/manifests/batches/oproofs/s00002-r00010620-n000004.json
index b8c2e26b66fff5ddb050fcf0fe23ae15edf17231..e4d04f12bd2a4a6aaae803854b2aaea61f45c556 100644
--- a/manifests/batches/oproofs/s00002-r00010620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010620-n000004",
   "batch_fingerprint": "3bf6823766b2b1f4ab65bfd908bcf103c09ef2682a4d56a765a448f413ad23e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010620-n000004-0000-0433bd65b27d1281.parquet",
-      "sha256": "0433bd65b27d12810f291b65b93aaafd618d79e2c622c138a87f58aba2fdc478",
-      "bytes": 225384,
-      "rows": 24,
-      "revision": "c036e352ec3be90d5fcedbff69d30fec7715098d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010621.lean\",\"f9df184e181d7e9c9daf933e1f69ba59bfedd0e81b833eb2f5dc455abd07bb39\",0,\"dice_probability_proof\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010622.lean\",\"5b94b125558f678ebae3ab030f62f3f3e628cec16faec902c1d81249251243cb\",0,\"lean_workbook_plus_38253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010623.lean\",\"4046a1a9ffb4c341f92c02c994434d01612c232b43c3f022fa6a1f05a56465e1\",0,\"lean_workbook_49558\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225384,
+      "path": "data/train/pef/oproofs-s00002-r00010620-n000004-0000-0433bd65b27d1281.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "0433bd65b27d12810f291b65b93aaafd618d79e2c622c138a87f58aba2fdc478"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010624-n000004.json b/manifests/batches/oproofs/s00002-r00010624-n000004.json
index 60f843eb2f11e3db9aeb8f30e8f94112a22e5a08..1025630fa76c6b79afa2e5c53b9108f3bee2fbd1 100644
--- a/manifests/batches/oproofs/s00002-r00010624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010624-n000004",
   "batch_fingerprint": "b92a446114c90e95a526ca9cb016edd820fee2bde4385c5bf698a266b3e59213",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010624-n000004-0000-ea2ed8b1ca500e12.parquet",
-      "sha256": "ea2ed8b1ca500e12425c55264b5c8bccfb5c9af1c63161f3f6ed2facc0107342",
-      "bytes": 177420,
-      "rows": 15,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010624-n000004-0000-b4fbcea789c5be2e.parquet",
-      "sha256": "b4fbcea789c5be2e15cf2a8f3de6f74cd0c0c76731b3b029c880bb0b01df2a2e",
-      "bytes": 64293,
-      "rows": 5,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010625.lean\",\"94eb5634c92630815bac73409ae6ff9b0be6b7b99e6a6b665de46fd1e64add81\",0,\"lean_workbook_plus_62363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010626.lean\",\"a25cdf4b705e30773c12c67f2b428bc8ee821bcba2dd7a530ade87184053ec73\",0,\"lean_workbook_plus_44506\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010627.lean\",\"1d5d3155de22af4e9cd1f11399aac22c559cd7fef4e10ebeeeedb9cc4db717e9\",0,\"lean_workbook_plus_63177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177420,
+      "path": "data/train/pf0/oproofs-s00002-r00010624-n000004-0000-ea2ed8b1ca500e12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ea2ed8b1ca500e12425c55264b5c8bccfb5c9af1c63161f3f6ed2facc0107342"
+    },
+    {
+      "bytes": 64293,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00010624-n000004-0000-b4fbcea789c5be2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b4fbcea789c5be2e15cf2a8f3de6f74cd0c0c76731b3b029c880bb0b01df2a2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010628-n000004.json b/manifests/batches/oproofs/s00002-r00010628-n000004.json
index 833003ce833313acbe5d56b7a707489309e24fa1..807a046ebab64313a3bc62b2023a803c05c44ff0 100644
--- a/manifests/batches/oproofs/s00002-r00010628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010628-n000004",
   "batch_fingerprint": "2f0fc0642221e377683e8347d3970c6a33176e4607c3060052739d0114e87922",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010628-n000004-0000-0a1e349abc50efac.parquet",
-      "sha256": "0a1e349abc50efac16bfb953f74803148c462af06956991686b1bb02711c0e50",
-      "bytes": 394498,
-      "rows": 21,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010629.lean\",\"e84f98bc69da30686e24bf687513484967a9a8289f544849f817d3daa141de8e\",0,\"lean_workbook_plus_21465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010630.lean\",\"847fd284208f49007ddd4957a64af32f9643b95e64c7e7b3a67a33c55c4f6f90\",0,\"lean_workbook_plus_6118\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010631.lean\",\"b0c0df57b16735708e7602c9a93721b8544078cb034ae180f182b5847097f31d\",0,\"division_integer_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394498,
+      "path": "data/train/p7a/oproofs-s00002-r00010628-n000004-0000-0a1e349abc50efac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0a1e349abc50efac16bfb953f74803148c462af06956991686b1bb02711c0e50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010632-n000004.json b/manifests/batches/oproofs/s00002-r00010632-n000004.json
index d72867f4cf8ce44d059ee94964dcc76a517eae7d..a688c94954cffa100b0a1f9cab06598df6efb101 100644
--- a/manifests/batches/oproofs/s00002-r00010632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010632-n000004",
   "batch_fingerprint": "6052596d6f3a58ff915e9502bfd4f6d9d35ae6058d2c245e5a3f7c9c23f9de28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010632-n000004-0000-af7bd89f86cde6ae.parquet",
-      "sha256": "af7bd89f86cde6ae1f86be6734a373db340a57a8d177950b9ab2c626a9152857",
-      "bytes": 611365,
-      "rows": 25,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010633.lean\",\"58dd9caf89e949314d5f0a204e98363b73d9e037e79f9697afbd133d0a0a1b89\",0,\"lean_workbook_plus_76157\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010634.lean\",\"022363c4536e5035020381b12888cc2177fed0da79a626ad55ce847c737f1387\",0,\"lean_workbook_plus_2228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010635.lean\",\"633124ab8ab84af3fee43be14b6d6dab1f6b6c763bd87fd7813d7f0ffb08897d\",0,\"lean_workbook_plus_12123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 611365,
+      "path": "data/train/pea/oproofs-s00002-r00010632-n000004-0000-af7bd89f86cde6ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "af7bd89f86cde6ae1f86be6734a373db340a57a8d177950b9ab2c626a9152857"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010636-n000004.json b/manifests/batches/oproofs/s00002-r00010636-n000004.json
index 47399b804022207f41ccfb0a41d7ec3fb09c5f92..cdc975f4dd3680f8e7cf4a05cf63fb6b8d3e39d6 100644
--- a/manifests/batches/oproofs/s00002-r00010636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010636-n000004",
   "batch_fingerprint": "21e064b79dcc6035837d4535cb387440f7a2e5f2d5aa0c53401a5469ab8f6838",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010636-n000004-0000-5cb305bb32d7e648.parquet",
-      "sha256": "5cb305bb32d7e6483dd2789792535bb9561d97c99e4009981f2e854bcbc45be0",
-      "bytes": 257075,
-      "rows": 18,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10637",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010637.lean\",\"781b1d2311562dcdb447dff928da95c06fab4bd60f98a42ac9cf32653b25ef41\",0,\"lean_workbook_plus_26944\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010638.lean\",\"03a84e6bb91b3cc1afa68319a43b6dc800d6298bfb949dbd141f75fb74c045eb\",0,\"sally_peaches\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010639.lean\",\"10b581eea05640589d23e371294f1efb2371c91972de749ca0c69af041b5d78d\",0,\"lean_workbook_plus_60658\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257075,
+      "path": "data/train/p54/oproofs-s00002-r00010636-n000004-0000-5cb305bb32d7e648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5cb305bb32d7e6483dd2789792535bb9561d97c99e4009981f2e854bcbc45be0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010640-n000004.json b/manifests/batches/oproofs/s00002-r00010640-n000004.json
index 673b492733d74791a1419146afc96ae667e8f5dd..a98074acacfb500689850dfe236fa3c498cbbe24 100644
--- a/manifests/batches/oproofs/s00002-r00010640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010640-n000004",
   "batch_fingerprint": "ed5721f92355a00a09806eabfa024323cf2f389b720dce4439eb6552bac19fff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010640-n000004-0000-bfdbccf9e5e2acbb.parquet",
-      "sha256": "bfdbccf9e5e2acbb8d027d84d95adac292ca8312bdf2bfae0fea1263c4c09455",
-      "bytes": 191650,
-      "rows": 16,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010641.lean\",\"0c67ca528f505696eb0d1d084547f7e5f375b2757d93aa87b20952baf9fab3af\",0,\"lean_workbook_23127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010642.lean\",\"46b8781345a28b9bc46ba83b85fc70a26656ca220ccc2edded92cf4b2098e48d\",0,\"lean_workbook_10946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010643.lean\",\"0de857f042a7a903cc727f6dcaf3dde09f6548a7bc24e0bb6ff9b8ffa9991bc0\",0,\"lean_workbook_plus_43894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191650,
+      "path": "data/train/p8b/oproofs-s00002-r00010640-n000004-0000-bfdbccf9e5e2acbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bfdbccf9e5e2acbb8d027d84d95adac292ca8312bdf2bfae0fea1263c4c09455"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010644-n000004.json b/manifests/batches/oproofs/s00002-r00010644-n000004.json
index 13bfbd7063ad1fc49abdcff20dc4e2708fd2a336..e7dd049003eb38f48eb4e415df4fcf68533cac58 100644
--- a/manifests/batches/oproofs/s00002-r00010644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010644-n000004",
   "batch_fingerprint": "9da754c84b40cd927b5adea3602d0d0fdfc71d3be74838914e933a608ab0eebc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010644-n000004-0000-b4c48fe2cfd99e60.parquet",
-      "sha256": "b4c48fe2cfd99e60ec92d1a07c55385d534ac64c044720ab8d108e4383507c32",
-      "bytes": 276364,
-      "rows": 22,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10645",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010645.lean\",\"4d1fd6120dcf81d9a6c11b01d34d2b0d7d8e6ecec0e357c46ae5550a3137f793\",0,\"geometric_distances_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010646.lean\",\"d509181c988788ef91824ca2f83c3eaaede85449eea89f618f021fb80df47e01\",0,\"lean_workbook_plus_17329\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010647.lean\",\"a1dbb615156c19a40e10253a37e2bb39c0fba011f79c88fc3b6148968c699bd0\",0,\"lean_workbook_plus_31981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276364,
+      "path": "data/train/pd1/oproofs-s00002-r00010644-n000004-0000-b4c48fe2cfd99e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b4c48fe2cfd99e60ec92d1a07c55385d534ac64c044720ab8d108e4383507c32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010648-n000004.json b/manifests/batches/oproofs/s00002-r00010648-n000004.json
index cdcd646c452de1f3fe83f221a419508c51b3e920..c6ff876fce52cbc60cbfb7935d0bfbc7b73f295f 100644
--- a/manifests/batches/oproofs/s00002-r00010648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010648-n000004",
   "batch_fingerprint": "b87184dfd89c933b7687109df89043cc49239cfae1a86725e87cdef5db46acf2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010648-n000004-0000-3921eeac9557600a.parquet",
-      "sha256": "3921eeac9557600a6754b7477026d70b97a3df396fac551fc181e251430fa0b6",
-      "bytes": 291549,
-      "rows": 22,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010649.lean\",\"626c9089b7e5a242da3bcb5793c87ca368fcede159f6b97a10563589a4b02426\",0,\"lean_workbook_plus_59343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010650.lean\",\"6d1c26f35c529beb687d6911189327732899758e73e6bb0be528689498a6f94c\",0,\"lean_workbook_plus_40277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010651.lean\",\"baa09bc64538083e5dede19f8f410f0dd9fda70f7725d4d27f7a410956943316\",0,\"lean_workbook_plus_19332\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 291549,
+      "path": "data/train/p78/oproofs-s00002-r00010648-n000004-0000-3921eeac9557600a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "3921eeac9557600a6754b7477026d70b97a3df396fac551fc181e251430fa0b6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010652-n000004.json b/manifests/batches/oproofs/s00002-r00010652-n000004.json
index 3eecd6af659c9709ab098918de714dcce28608a9..d03d1665a522caef2b404897545bdf90c973e492 100644
--- a/manifests/batches/oproofs/s00002-r00010652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010652-n000004",
   "batch_fingerprint": "8e21ab5fa55817c4f108ae806cd314d233ff780153c1dcfca53c29c25ffc57f7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010652-n000004-0000-6b8ef412797b3657.parquet",
-      "sha256": "6b8ef412797b3657917092c3e4e5b4ca170b4e28358b5dc0448c329278ddf518",
-      "bytes": 339641,
-      "rows": 21,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010653.lean\",\"36a3a455f88846a708156ea8063ea85ad2663feadb6f05583b5e43612b9fb173\",0,\"lean_workbook_plus_70446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010654.lean\",\"23ce976eb2f3fee0c50b528d731f0b56253442afd409996c2b13ffc6956928ca\",0,\"lean_workbook_31649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010655.lean\",\"56d0e5dbf4c74543aebe198f5b4d38115f4da7629e97bfe02ef9ff62f33efe31\",0,\"lean_workbook_plus_27906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339641,
+      "path": "data/train/p25/oproofs-s00002-r00010652-n000004-0000-6b8ef412797b3657.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6b8ef412797b3657917092c3e4e5b4ca170b4e28358b5dc0448c329278ddf518"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010656-n000004.json b/manifests/batches/oproofs/s00002-r00010656-n000004.json
index 664088156e271ed03f44f3b353c089af966a0e6a..353234a7f292cf18aa75d20340f72126809d83cb 100644
--- a/manifests/batches/oproofs/s00002-r00010656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010656-n000004",
   "batch_fingerprint": "0afb591e44ed7d9d24ffdfc7a3bd40675ab87d46acc522b1ae7e9c07f65e0e28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010656-n000004-0000-4a0922bb4d1ad7f0.parquet",
-      "sha256": "4a0922bb4d1ad7f00d0b8fcde345448b2d660e2a68b311dfee9faa18b95e0e23",
-      "bytes": 122688,
-      "rows": 12,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10657",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010657.lean\",\"73c890d7f67e2a95dc663c3fe60ba23050366477840f8508ea6936e1c88694f5\",0,\"lean_workbook_plus_44883\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010658.lean\",\"f9c275133313e485804b7f9b91221c3f9da10c6ff53ef792013b7cd344c850ce\",0,\"lean_workbook_plus_66073\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010659.lean\",\"babd50c1fb4ad4f27d4f2ea993873c920131c5af9527c488f7bd89fad5fe57e0\",0,\"lean_workbook_plus_70914\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 122688,
+      "path": "data/train/p61/oproofs-s00002-r00010656-n000004-0000-4a0922bb4d1ad7f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4a0922bb4d1ad7f00d0b8fcde345448b2d660e2a68b311dfee9faa18b95e0e23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010660-n000004.json b/manifests/batches/oproofs/s00002-r00010660-n000004.json
index 127bed15bf481ca7927be3aba702b90c0efad1e2..b65a8cc2e58ff58ed7e887e50fdec01741069dda 100644
--- a/manifests/batches/oproofs/s00002-r00010660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010660-n000004",
   "batch_fingerprint": "17a2d497ab233f86391bc2e391627a36dd5d28c585b8ac8bdf8304f12a590dd8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010660-n000004-0000-fd83b739f777d7eb.parquet",
-      "sha256": "fd83b739f777d7eb37799cf22914cfcde3dfe38c50f1ef87b23d315a044cc051",
-      "bytes": 160656,
-      "rows": 14,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10661",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010661.lean\",\"b7cf954a48675d5266f55ff6a18da529a56b8cda675e8cc63c009076d06801d5\",0,\"lean_workbook_plus_28719\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010662.lean\",\"1d916d9506c29116e350d261aabb4926f5429562d84f89c98e9eab787acdc3d1\",0,\"right_triangle_area_with_altitude\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010663.lean\",\"efaa23d749848c8e4f5f83da761454765abc4463fe554f3df10852d0726c9e9e\",0,\"lean_workbook_plus_60062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160656,
+      "path": "data/train/pd0/oproofs-s00002-r00010660-n000004-0000-fd83b739f777d7eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fd83b739f777d7eb37799cf22914cfcde3dfe38c50f1ef87b23d315a044cc051"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010664-n000004.json b/manifests/batches/oproofs/s00002-r00010664-n000004.json
index 0d76eceecc9f63723e93d594a2dbc2da11fdc1ad..270f5c741429e45a95abd25ce7f68d900f47b926 100644
--- a/manifests/batches/oproofs/s00002-r00010664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010664-n000004",
   "batch_fingerprint": "11ed6fd8d12f70182378378f31c3df2450cef8cd6d710ebe3f6483d2ea6e059c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010664-n000004-0000-2c275829dccb6eda.parquet",
-      "sha256": "2c275829dccb6edadebee3690b831834228ed345f9a27dd8c545d2e86906100f",
-      "bytes": 225249,
-      "rows": 15,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010664-n000004-0000-396e337b2862be50.parquet",
-      "sha256": "396e337b2862be5066ecde12ed3a9ca3ee5a36bfa7d7bbfa4575e8d7ab2b3dc3",
-      "bytes": 140138,
-      "rows": 5,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10665",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010665.lean\",\"f34458d607359b9aeb074648d25c6884eced8c75f10289047207a9a77d50309e\",0,\"lean_workbook_plus_78513\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010666.lean\",\"595a2bfb04f5f117ce1b1b116e3f78e5a10b9c7aa0cf8e9b16ab030fbdb82304\",0,\"lean_workbook_31084\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010667.lean\",\"beeec3db402a664df13a138c368a91b372a9a13ecbf7ab5551d2c11da4980bad\",0,\"lean_workbook_plus_60898\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225249,
+      "path": "data/train/p5e/oproofs-s00002-r00010664-n000004-0000-2c275829dccb6eda.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2c275829dccb6edadebee3690b831834228ed345f9a27dd8c545d2e86906100f"
+    },
+    {
+      "bytes": 140138,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00010664-n000004-0000-396e337b2862be50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "396e337b2862be5066ecde12ed3a9ca3ee5a36bfa7d7bbfa4575e8d7ab2b3dc3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010668-n000004.json b/manifests/batches/oproofs/s00002-r00010668-n000004.json
index a5831386d8eeb61e5a9c7bac6ed3e004452f85e4..312cc472d52f9122e048634b6f1a1c5162ab53ef 100644
--- a/manifests/batches/oproofs/s00002-r00010668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010668-n000004",
   "batch_fingerprint": "69e47f06cdc2719113ef79bf8507ce4606b98138e4b5a832d5131a3ad3d78730",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010668-n000004-0000-3dd7b76643932b28.parquet",
-      "sha256": "3dd7b76643932b28cdd838c4e908d86dd8b95c4b8c7a29acd93840c8831870b5",
-      "bytes": 370664,
-      "rows": 20,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10669",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010669.lean\",\"b430faa296350a095b74902910723b119e876fece06af927a9203275069c543b\",0,\"lean_workbook_plus_72477\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010670.lean\",\"a59e648f386510a8a2d5e22dca46f3e3b227f1de43b5f4ee8e69b6dcf52b41e9\",0,\"lean_workbook_plus_62532\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010671.lean\",\"3135958fad69883195d7318dc4adc1c52545dde45f7ba0b5a74ded9da7a552d4\",0,\"lean_workbook_plus_70881\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370664,
+      "path": "data/train/pde/oproofs-s00002-r00010668-n000004-0000-3dd7b76643932b28.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3dd7b76643932b28cdd838c4e908d86dd8b95c4b8c7a29acd93840c8831870b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010672-n000004.json b/manifests/batches/oproofs/s00002-r00010672-n000004.json
index ab38066c51cdd7fb744c016a552a6017db631846..a2a1ade4a861adf9283706ce13507894cb23c9c4 100644
--- a/manifests/batches/oproofs/s00002-r00010672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010672-n000004",
   "batch_fingerprint": "420956cb48fa2ca55a449d4e7222a717dabb8090fa6b9c5010174a885a95ff7c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010672-n000004-0000-6190106f299c93c6.parquet",
-      "sha256": "6190106f299c93c6153585311583b49d5cb9f38a1db046839a24d7547914cc4b",
-      "bytes": 226629,
-      "rows": 15,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010673.lean\",\"a4782c458f0c2fe186e2754de785760ab5703e9c41c0867d214c118e3a5192da\",0,\"lean_workbook_25361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010674.lean\",\"e47b1667513cdc59fae3b1ddeece9111bccb3a859c68606455ad0cbe12fb2345\",0,\"lean_workbook_17343\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010675.lean\",\"62920a599c2136b32fa031246fb74cffaaacebbc71b517c0c76415d80ce1a93c\",0,\"lean_workbook_plus_43104\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226629,
+      "path": "data/train/p54/oproofs-s00002-r00010672-n000004-0000-6190106f299c93c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6190106f299c93c6153585311583b49d5cb9f38a1db046839a24d7547914cc4b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010676-n000004.json b/manifests/batches/oproofs/s00002-r00010676-n000004.json
index 29178d285dac0cd7216c4d2bf168b37406eb9be1..79b388b80a8ce367ab2f7b5fa5dc53a6c5f31f2d 100644
--- a/manifests/batches/oproofs/s00002-r00010676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010676-n000004",
   "batch_fingerprint": "56297c07d24299e54b0d70d34a6ab85360fb62381b5ae8d7994b9f4a0ef24b6f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010676-n000004-0000-6f24cc8bc7fb791d.parquet",
-      "sha256": "6f24cc8bc7fb791d20ec3acb4869fd543b8036cf2f6461a87f8a988f1b7865c4",
-      "bytes": 174294,
-      "rows": 16,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010677.lean\",\"ef4b5791be9b9b07ada33aa7259f35053601ef37e92e4e0859155006b0960c37\",0,\"lean_workbook_plus_61449\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010678.lean\",\"f31faaf63d6423c0d100c0f5f89d2ac6a2af2663aa072faecfa0c237ba884d56\",0,\"lean_workbook_22081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010679.lean\",\"11ab2916f800387c2d48d2e51c1e716547ceaf94158e665c926bfc854b4422ce\",0,\"lean_workbook_49558\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174294,
+      "path": "data/train/p55/oproofs-s00002-r00010676-n000004-0000-6f24cc8bc7fb791d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6f24cc8bc7fb791d20ec3acb4869fd543b8036cf2f6461a87f8a988f1b7865c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010680-n000004.json b/manifests/batches/oproofs/s00002-r00010680-n000004.json
index ce0ac81b777023cce1c408cee2aef8d76b9099fe..c8593993891ecf4042459f194ce0d802c87dd2f7 100644
--- a/manifests/batches/oproofs/s00002-r00010680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010680-n000004",
   "batch_fingerprint": "28fd1e19eee3cdb77a4a294d101775ad8fe56bc79b267fc1b09d3b5911702380",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010680-n000004-0000-a824469f68389a3e.parquet",
-      "sha256": "a824469f68389a3e56e6df40b189f5532ab64806437cead2ffc675900fc56a7d",
-      "bytes": 194174,
-      "rows": 12,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010680-n000004-0000-d46611bc142cd363.parquet",
-      "sha256": "d46611bc142cd363220abddb82beac10729d5b0250127a08240260a8288bf189",
-      "bytes": 62097,
-      "rows": 5,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010681.lean\",\"03382b93c44233c9cce360d0068724b8f5c977c28cb4d5c91c33d2a8739f6598\",0,\"lean_workbook_plus_44506\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010682.lean\",\"c152dcdaed1511607ef786e3c14a48fb827c074eed98496d19307057fac65742\",0,\"lean_workbook_plus_35120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010683.lean\",\"6fd57122093767512fff8611b20922cc271a5692f389add488bb9ebd9c8b49fe\",0,\"lean_workbook_plus_63177\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194174,
+      "path": "data/train/p87/oproofs-s00002-r00010680-n000004-0000-a824469f68389a3e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a824469f68389a3e56e6df40b189f5532ab64806437cead2ffc675900fc56a7d"
+    },
+    {
+      "bytes": 62097,
+      "path": "data/internal_test/p87/oproofs-s00002-r00010680-n000004-0000-d46611bc142cd363.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d46611bc142cd363220abddb82beac10729d5b0250127a08240260a8288bf189"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010684-n000004.json b/manifests/batches/oproofs/s00002-r00010684-n000004.json
index 2796c5e56e04dc15d9c77d1f36ba58a360b9900e..d5049bed916108cec1a5222f416c4286d3991941 100644
--- a/manifests/batches/oproofs/s00002-r00010684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010684-n000004",
   "batch_fingerprint": "71601c9a53e6f38277beff1f24729a3d2cd29e1636536d17a08964f7fc2cc3a3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010684-n000004-0000-f445581d02bc064b.parquet",
-      "sha256": "f445581d02bc064b5a2ec23e576f4f2644290409ff8652322d0a6e18049aa49b",
-      "bytes": 198825,
-      "rows": 14,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010684-n000004-0000-4728526c2a31c776.parquet",
-      "sha256": "4728526c2a31c776f656e37c85e3e48644a848b704769e7c2fd086fbaeefe2d3",
-      "bytes": 311457,
-      "rows": 6,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010685.lean\",\"4fa213436b9164fce3895226ae7f869656f864bc54075558759be259821d8745\",0,\"lean_workbook_plus_21465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010686.lean\",\"80707b323eee82f8397a8eb4cce9cffde5f33bcb11235cbf666117c83394471a\",0,\"lean_workbook_plus_30446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010687.lean\",\"c4686d6aecfa208b9d933c76ae29816a84df02f8ff898ce870973d9d7773b53d\",0,\"lean_workbook_plus_6118\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 198825,
+      "path": "data/train/p12/oproofs-s00002-r00010684-n000004-0000-f445581d02bc064b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f445581d02bc064b5a2ec23e576f4f2644290409ff8652322d0a6e18049aa49b"
+    },
+    {
+      "bytes": 311457,
+      "path": "data/internal_test/p12/oproofs-s00002-r00010684-n000004-0000-4728526c2a31c776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4728526c2a31c776f656e37c85e3e48644a848b704769e7c2fd086fbaeefe2d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010688-n000004.json b/manifests/batches/oproofs/s00002-r00010688-n000004.json
index 735be7bdb04c20923208ba568f154a3570fbdeaa..242ffb212c2ccb09df93932b0aaf037a5f7e10a3 100644
--- a/manifests/batches/oproofs/s00002-r00010688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010688-n000004",
   "batch_fingerprint": "d4502ebd8f1342e35bf7fb6038860b24ebbf7018bf3693df655e19c3a36c7105",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010688-n000004-0000-12da3a7303f9e450.parquet",
-      "sha256": "12da3a7303f9e450606678523d45ebe91b1adc7d2b81493e5b3477989a3d9af8",
-      "bytes": 369437,
-      "rows": 21,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010689.lean\",\"15e962dfd51a346332320510dd36daf10c4190005d7883af96d84f6d85842e24\",0,\"lean_workbook_plus_78869\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010690.lean\",\"caa3cc9fc55c5fe9dce804d86caf41b5f12faf53cc192b2f6c5c197696dce191\",0,\"lean_workbook_plus_2228\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010691.lean\",\"8c2e19506626203c48c7818f288de8f1f1f79b2b62c59f78f9c24a1f8a0130ef\",0,\"lean_workbook_plus_27998\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 369437,
+      "path": "data/train/pe3/oproofs-s00002-r00010688-n000004-0000-12da3a7303f9e450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "12da3a7303f9e450606678523d45ebe91b1adc7d2b81493e5b3477989a3d9af8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010692-n000004.json b/manifests/batches/oproofs/s00002-r00010692-n000004.json
index 3c2e3ed741e3ad1d0a94dda6286e2a884ff28a37..f60ba36cbe4ac7feff462e337f5ffedeb03c1f73 100644
--- a/manifests/batches/oproofs/s00002-r00010692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010692-n000004",
   "batch_fingerprint": "0698b902d1a58ac36a907fbfa8014381c2e569e16156ae60f391db331d70afda",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010692-n000004-0000-4af54c6e9a36b160.parquet",
-      "sha256": "4af54c6e9a36b1604566b0f4ed36305d3c3bfaf5118403337ff6208201e5f476",
-      "bytes": 226167,
-      "rows": 19,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010693.lean\",\"d885d8900e24087c9ec27bed8af03dc0a23d2d071bb756ab3a55eeacfe48d84b\",0,\"lean_workbook_plus_24868\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010694.lean\",\"7f7ec6c024bba8d9495d49c0de5e9da14cd36ffad59db786db83389220d831ef\",0,\"lean_workbook_plus_60658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010695.lean\",\"0f6c72dfb1e2b44bd54a478a87d4cbe742231e15a9b5453255d8a56df42e741d\",0,\"lean_workbook_plus_19859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226167,
+      "path": "data/train/pe4/oproofs-s00002-r00010692-n000004-0000-4af54c6e9a36b160.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4af54c6e9a36b1604566b0f4ed36305d3c3bfaf5118403337ff6208201e5f476"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010696-n000004.json b/manifests/batches/oproofs/s00002-r00010696-n000004.json
index 3decd9aa5f74ef7bf793642e234a29c85e6d862d..4d73db9e6c80cc3fde86455a22f72bf5a1514f74 100644
--- a/manifests/batches/oproofs/s00002-r00010696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010696-n000004",
   "batch_fingerprint": "f7d695043398e65fe63fd74e8312b9c7c350060bfe27e85dd8aed97cdc4b6fa2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010696-n000004-0000-af4dda69b0a38fee.parquet",
-      "sha256": "af4dda69b0a38fee7a76828696b8359866f26d9b8b084c46575bd46d64eb2fa7",
-      "bytes": 180791,
-      "rows": 19,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010697.lean\",\"1fd4d6fcf55a0b1944bd2ecb602e633261556249526aee0da6a4464eb0cdb769\",0,\"lean_workbook_plus_33582\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010698.lean\",\"a9acfac564cb377809f634ce4353b4235870eb1c2a410de85c76aa44f25c4e3c\",0,\"range_of_f_when_a_neg_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010699.lean\",\"6d8d428630586f48df038897a204acb0f3a524692b9ca4dcb21a9823f37b2c17\",0,\"lean_workbook_plus_43894\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 180791,
+      "path": "data/train/pdd/oproofs-s00002-r00010696-n000004-0000-af4dda69b0a38fee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "af4dda69b0a38fee7a76828696b8359866f26d9b8b084c46575bd46d64eb2fa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010700-n000004.json b/manifests/batches/oproofs/s00002-r00010700-n000004.json
index 1de2689482c348e9c3defb59eb60691b8b48dc81..3885c5290f61b4ffd59f484a437006565e928c1a 100644
--- a/manifests/batches/oproofs/s00002-r00010700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010700-n000004",
   "batch_fingerprint": "ef5eaf50d86c4756a82d2ae270a69a31271aba56b80684c56edb9ac5d9f27897",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010700-n000004-0000-e191da3259889275.parquet",
-      "sha256": "e191da3259889275185a9413ea0f8b0134e83fdaf5d0563d2afa1ab82e491d26",
-      "bytes": 777255,
-      "rows": 26,
-      "revision": "92cc955c7d4c391393a65a0970af74667d012324"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00010700-n000004-0001-6233fec98e6fec0b.parquet",
-      "sha256": "6233fec98e6fec0b317666a2949618f7d6822ea6b3be3c7169b71cbe2e7cb29c",
-      "bytes": 1504609,
-      "rows": 10,
-      "revision": "92cc955c7d4c391393a65a0970af74667d012324"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010701.lean\",\"195de0ebff70fd0fd715181548fda65119e9b121108f06c7d6c7ffe82a1c4d35\",0,\"angle_sum_with_tangents_two_three\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010702.lean\",\"5947b420392518a745e91aa5b726c75650ad9baac5df3096dc8e05bef4d3de47\",0,\"lean_workbook_plus_40277\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010703.lean\",\"f10485bcea5156e3a360697856b1b86c0f8fe9ce00735fe25c2d39f708bf5e0b\",0,\"lean_workbook_16010\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 777255,
+      "path": "data/train/pb5/oproofs-s00002-r00010700-n000004-0000-e191da3259889275.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "e191da3259889275185a9413ea0f8b0134e83fdaf5d0563d2afa1ab82e491d26"
+    },
+    {
+      "bytes": 1504609,
+      "path": "data/train/pb5/oproofs-s00002-r00010700-n000004-0001-6233fec98e6fec0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6233fec98e6fec0b317666a2949618f7d6822ea6b3be3c7169b71cbe2e7cb29c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010704-n000004.json b/manifests/batches/oproofs/s00002-r00010704-n000004.json
index 3e732e6bcb90d63ddd9173aaa7f29b22f0b99138..8c4fdf140cf303e2da636a16672dd81002a9b6c1 100644
--- a/manifests/batches/oproofs/s00002-r00010704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010704-n000004",
   "batch_fingerprint": "d5370c6e3fb8495aa9c984fc90be5618496ba873686ddce86a339ae532c457e7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010704-n000004-0000-e3403169ea200d31.parquet",
-      "sha256": "e3403169ea200d3116d092ae95113e57d59b0e2956b2cf14bea33d4aaf8449f4",
-      "bytes": 238969,
-      "rows": 16,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010704-n000004-0000-4a4f31b78d6cc373.parquet",
-      "sha256": "4a4f31b78d6cc37311308a8dd6fb2b90f5eb089cce9714c58b9ece6fbd0ffce6",
-      "bytes": 53140,
-      "rows": 6,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010705.lean\",\"645bf0d1987b99ae5bbae3c6b96bdc5567786fd380a9d942bb65f75c3398c74f\",0,\"lean_workbook_3924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010706.lean\",\"581bdf5b2b66c8ab642dd15fb252ec71ea86c6bcdb513014ef8a3900c74e9e51\",0,\"lean_workbook_plus_70446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010707.lean\",\"46dde0f94a2f3a31c146f406b8b1105f8f53ecc53d67f4939e583760ae317a9c\",0,\"angle_probability\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238969,
+      "path": "data/train/p27/oproofs-s00002-r00010704-n000004-0000-e3403169ea200d31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e3403169ea200d3116d092ae95113e57d59b0e2956b2cf14bea33d4aaf8449f4"
+    },
+    {
+      "bytes": 53140,
+      "path": "data/internal_test/p27/oproofs-s00002-r00010704-n000004-0000-4a4f31b78d6cc373.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4a4f31b78d6cc37311308a8dd6fb2b90f5eb089cce9714c58b9ece6fbd0ffce6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010708-n000004.json b/manifests/batches/oproofs/s00002-r00010708-n000004.json
index 2c8ecc4b52852476b3c496a6a38779aba5b938f1..db104addb7a24cab3a7ca51785721dec6bcebe4a 100644
--- a/manifests/batches/oproofs/s00002-r00010708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010708-n000004",
   "batch_fingerprint": "362e84b489be05a0e5b3e500411990ab15b33d86f157bd07bd26cfa160b82d7e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010708-n000004-0000-6f94661ad3604da5.parquet",
-      "sha256": "6f94661ad3604da55fc1c6b88cea2132ea12ac5cd7091dcc79d7a7f0d2729159",
-      "bytes": 274119,
-      "rows": 22,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010709.lean\",\"8e8fe684ee89472e17b9db0d6119cbdbaeba69658429f16ee6c6da0ee541dd95\",0,\"lean_workbook_31649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010710.lean\",\"0c71f98321d1144add453d6cc1cef26ce26b552d113c703a4cc89a8dff37170b\",0,\"lean_workbook_plus_36411\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010711.lean\",\"ef1f29b1e5eb6c3c8e01451241adc5d43a58d375942e589e8b011886c21bf19d\",0,\"lean_workbook_plus_27906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274119,
+      "path": "data/train/p5e/oproofs-s00002-r00010708-n000004-0000-6f94661ad3604da5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6f94661ad3604da55fc1c6b88cea2132ea12ac5cd7091dcc79d7a7f0d2729159"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010712-n000004.json b/manifests/batches/oproofs/s00002-r00010712-n000004.json
index 33b13f50c6ecc8512f669539941eb4eccedb74ce..2a9c9136cd849e3cc6e28618632d5a9e14dbc067 100644
--- a/manifests/batches/oproofs/s00002-r00010712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010712-n000004",
   "batch_fingerprint": "d2f61c023a98bd7a739ed91d5a55fed38d50362adf06c14fbdcc5276db65ed45",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010712-n000004-0000-68f076c853e2cf2a.parquet",
-      "sha256": "68f076c853e2cf2a52876f6bb1da6a6760f95724e3db2861f4ae7848e100294b",
-      "bytes": 100480,
-      "rows": 13,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010712-n000004-0000-846f5cd05f9eb2ef.parquet",
-      "sha256": "846f5cd05f9eb2ef979d5519e60fb6f341f337fccfa7a1cbd4dcb13597a5cf71",
-      "bytes": 135038,
-      "rows": 5,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10713",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010713.lean\",\"529baa9bd24d010db8e4f82816cb6cc9a6654f5cb643269e4f1bf2fd6d28dc95\",0,\"lean_workbook_plus_61368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010714.lean\",\"ecee79aeefb204931f899a31d96e6ca64db89b208c1042958be83de64938a32a\",0,\"lean_workbook_plus_29297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010715.lean\",\"fe1e73239abcdc45164236978412b1408ee338e4b1d14136f50adef33568af87\",0,\"lean_workbook_plus_65710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 100480,
+      "path": "data/train/p75/oproofs-s00002-r00010712-n000004-0000-68f076c853e2cf2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "68f076c853e2cf2a52876f6bb1da6a6760f95724e3db2861f4ae7848e100294b"
+    },
+    {
+      "bytes": 135038,
+      "path": "data/dev/p75/oproofs-s00002-r00010712-n000004-0000-846f5cd05f9eb2ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "846f5cd05f9eb2ef979d5519e60fb6f341f337fccfa7a1cbd4dcb13597a5cf71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010716-n000004.json b/manifests/batches/oproofs/s00002-r00010716-n000004.json
index 428068edda22515b14d6a4597b253f4c77201b46..c9238a32422a8388f3fa5a3069055a103b2999c6 100644
--- a/manifests/batches/oproofs/s00002-r00010716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010716-n000004",
   "batch_fingerprint": "44a1a4a778789d24e577fcf5ea9423f9ce837724f7197c00e4b352d72cbba38a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010716-n000004-0000-109cdaa4700682b1.parquet",
-      "sha256": "109cdaa4700682b1c290e511ad0a030e4c0486c8444428790bbaa27b52297481",
-      "bytes": 186782,
-      "rows": 16,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010717.lean\",\"6c533959f2fa3339630a3fd6241ea2d485e030231f1130d2385b903bd4dfe67d\",0,\"lean_workbook_25635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010718.lean\",\"a11fc352f0c7be7c66a1e8dc9f755f3ecbd231b480aaf43c87b9d2208002d625\",0,\"lean_workbook_plus_21543\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010719.lean\",\"87b77b7396ba7dbfb6de2999251c0b76215257436837bb38b6cb4318cfda928b\",0,\"lean_workbook_26872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186782,
+      "path": "data/train/pa5/oproofs-s00002-r00010716-n000004-0000-109cdaa4700682b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "109cdaa4700682b1c290e511ad0a030e4c0486c8444428790bbaa27b52297481"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010720-n000004.json b/manifests/batches/oproofs/s00002-r00010720-n000004.json
index eff7c160645b1cf7f997acc00b6f356a6d5bfc2d..917e8bb658ee46e9565020ea811b736e1956bf27 100644
--- a/manifests/batches/oproofs/s00002-r00010720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010720-n000004",
   "batch_fingerprint": "6a997bd67165cccd2462100c39025168839801abbadc08aaf3b9fb41eb8e8d68",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010720-n000004-0000-3ae201ff46030a40.parquet",
-      "sha256": "3ae201ff46030a402d43ab7f8071959e556b8e21a52e31a89833e22c30c500d6",
-      "bytes": 493446,
-      "rows": 16,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010721.lean\",\"875af0d4f58626f23b709b8713d09d1117e7d1135a4a3ed1eca946c817a501d1\",0,\"lean_workbook_plus_49902\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010722.lean\",\"7270f1e47235bc22c522f56c88b3519aa9a0a977c42dfd7648a0090d9c1a845e\",0,\"lean_workbook_30081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010723.lean\",\"7fb50a1d631a760b911835ace8cbb1c579ae28510fef5ee45c6120c54f3c5207\",0,\"lean_workbook_plus_74659\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 493446,
+      "path": "data/train/p90/oproofs-s00002-r00010720-n000004-0000-3ae201ff46030a40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3ae201ff46030a402d43ab7f8071959e556b8e21a52e31a89833e22c30c500d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010724-n000004.json b/manifests/batches/oproofs/s00002-r00010724-n000004.json
index 70dd8cf174f39b3c28a6043fe347b1a0e445c984..429c846d78a7081533f26c8390b827015d66dc8e 100644
--- a/manifests/batches/oproofs/s00002-r00010724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010724-n000004",
   "batch_fingerprint": "217acad6d041e8e4ed0bc16b18efce3c325efafb7e3feda534c39eef381ab470",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010724-n000004-0000-f84da13951c454e7.parquet",
-      "sha256": "f84da13951c454e714ea8c27d8b2e69b838f0d337a3672a8839a5e25cada8cd0",
-      "bytes": 72192,
-      "rows": 11,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010724-n000004-0000-7a6c001f528f4733.parquet",
-      "sha256": "7a6c001f528f4733b615c2cf1efcb1717ad5c430f7889db7bc59040356aa1e24",
-      "bytes": 134047,
-      "rows": 6,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010725.lean\",\"24c4e558f2f374d4bef6d0061b64d965bf2d1ef7857483c489e95b0969f971f8\",0,\"exp_func_minimum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010726.lean\",\"93c1cb3e64b7e04941312699cc44d5e8f30aa818d47852601801f7836199d972\",0,\"lean_workbook_20242\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010727.lean\",\"6de7d9e27073b31de99451fda9959db61667832ce2899b63f0b34c723c082c65\",0,\"lean_workbook_plus_51175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 72192,
+      "path": "data/train/p43/oproofs-s00002-r00010724-n000004-0000-f84da13951c454e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f84da13951c454e714ea8c27d8b2e69b838f0d337a3672a8839a5e25cada8cd0"
+    },
+    {
+      "bytes": 134047,
+      "path": "data/dev/p43/oproofs-s00002-r00010724-n000004-0000-7a6c001f528f4733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7a6c001f528f4733b615c2cf1efcb1717ad5c430f7889db7bc59040356aa1e24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010728-n000004.json b/manifests/batches/oproofs/s00002-r00010728-n000004.json
index 007b6df57c7c0201c6b87670bfca72ca42cc8efd..2fcacf197d51c196881dfff006275157e90473aa 100644
--- a/manifests/batches/oproofs/s00002-r00010728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010728-n000004",
   "batch_fingerprint": "353583361e0df5608402adc602182e46f593be69762d1a49178d9fc8febdf822",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010728-n000004-0000-1d48009b630be35f.parquet",
-      "sha256": "1d48009b630be35f3e35bf727af61373548bbae4f6cb149d94ca71198dc7ad2c",
-      "bytes": 200441,
-      "rows": 10,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010728-n000004-0000-0fd64a87796d8ec2.parquet",
-      "sha256": "0fd64a87796d8ec2d86d1b5a369b7cdf63dc59e627d8d8705bc481f4d74c9e19",
-      "bytes": 65008,
-      "rows": 5,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010729.lean\",\"41d1df599ffdf73c612a1e36c7e41307fe9f8354aa4f9d1006fecf2b9d8d5ddb\",0,\"lean_workbook_plus_74667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010730.lean\",\"8116ef482c3a676119032810195fa7b3de6e3d2d8bf8b24b26bad67647d7bf2e\",0,\"angle_in_second_quadrant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010731.lean\",\"5f744c940f14c03938a43d52b7905cfe9a0aa42cbcf3ba09f3f6ddad1e71164f\",0,\"lean_workbook_plus_20176\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200441,
+      "path": "data/train/p96/oproofs-s00002-r00010728-n000004-0000-1d48009b630be35f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1d48009b630be35f3e35bf727af61373548bbae4f6cb149d94ca71198dc7ad2c"
+    },
+    {
+      "bytes": 65008,
+      "path": "data/dev/p96/oproofs-s00002-r00010728-n000004-0000-0fd64a87796d8ec2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "0fd64a87796d8ec2d86d1b5a369b7cdf63dc59e627d8d8705bc481f4d74c9e19"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010732-n000004.json b/manifests/batches/oproofs/s00002-r00010732-n000004.json
index 58c7d9ac4b67828f4360c7a526b85a3ac286eda7..25aba0c8d88c7ee07e0e5c67fa491e95ecd63ce0 100644
--- a/manifests/batches/oproofs/s00002-r00010732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010732-n000004",
   "batch_fingerprint": "285829dcab82bf26eb45d3c8da01ea591d56268af18fda7d98ee742016557392",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010732-n000004-0000-503f857daf18ae7d.parquet",
-      "sha256": "503f857daf18ae7dd6d8bf7df527d73a6a96a5394e1d0d839e47ca344a5236af",
-      "bytes": 87619,
-      "rows": 9,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010732-n000004-0000-7c44b356e3df1727.parquet",
-      "sha256": "7c44b356e3df1727286059cdd5be8ff22f62436667a126e483c22d2784763006",
-      "bytes": 61603,
-      "rows": 7,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10733",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010733.lean\",\"31d2a4bedd807d14dcda2494973536c94d50b79f9451cd1c0e21f4f735cc2158\",0,\"lean_workbook_plus_68569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010734.lean\",\"543e33d10f165d4cfc15619fe9302909aba3c649163c6bc57974116b89320b83\",0,\"lean_workbook_plus_21895\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010735.lean\",\"ba5d28e9859996278d7ab690ba4596c691c4a2aa199bbe04dccaf2261be5101e\",0,\"lean_workbook_plus_66065\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87619,
+      "path": "data/train/p9d/oproofs-s00002-r00010732-n000004-0000-503f857daf18ae7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "503f857daf18ae7dd6d8bf7df527d73a6a96a5394e1d0d839e47ca344a5236af"
+    },
+    {
+      "bytes": 61603,
+      "path": "data/dev/p9d/oproofs-s00002-r00010732-n000004-0000-7c44b356e3df1727.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7c44b356e3df1727286059cdd5be8ff22f62436667a126e483c22d2784763006"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010736-n000004.json b/manifests/batches/oproofs/s00002-r00010736-n000004.json
index 7ccde45f6964cc8aade14454938d70988a17e7cf..f20c12901a503246ae6d2d51aad7a9ab9fdd9912 100644
--- a/manifests/batches/oproofs/s00002-r00010736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010736-n000004",
   "batch_fingerprint": "02b3782e1933fdc832a791d8d53c016b4eb7b775d1f5eb8450664b91e2851df0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010736-n000004-0000-260ea4668858afb7.parquet",
-      "sha256": "260ea4668858afb796f686183f3628d5717c00e9fdf2e790d2521d540de1d2a8",
-      "bytes": 410448,
-      "rows": 13,
-      "revision": "92cc955c7d4c391393a65a0970af74667d012324"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010737.lean\",\"3444032a8cd955c3ac4c164f91a1293f1c91d8ebc13dbf327b35a1af09a5780b\",0,\"sqrt_plus_one_iff_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010738.lean\",\"728c7d195bc4b33779067d93e669de13a278b4b8525736651d22ab5cba0d104b\",1,\"remainder_representation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010739.lean\",\"bac6cf43fa5ba9f4086d8967e0a2abe44bbb505e6b9bd1c875dff80a44c2dc81\",0,\"lean_workbook_plus_43971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 410448,
+      "path": "data/train/p91/oproofs-s00002-r00010736-n000004-0000-260ea4668858afb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "260ea4668858afb796f686183f3628d5717c00e9fdf2e790d2521d540de1d2a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010740-n000004.json b/manifests/batches/oproofs/s00002-r00010740-n000004.json
index 14919f9d375cd9a39ab6d8be2f24fcc7a1525cdf..9f4d23ac5bec8c22e124961dac64e0d17f92d811 100644
--- a/manifests/batches/oproofs/s00002-r00010740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010740-n000004",
   "batch_fingerprint": "ac1c9c7f6d1166a18107bd2b68ca3b735574ab77f5231d63e2428a6e9fbe795c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010740-n000004-0000-8a789c5fcc278596.parquet",
-      "sha256": "8a789c5fcc278596615cffe9227f39453231c6c7766b05bf06a2d6f3eba4a47c",
-      "bytes": 209473,
-      "rows": 14,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010741.lean\",\"6ed0102b4bbb5b18bcdbfbac38283b3f6c7273e846e2f04d3cf881071ee9b8d9\",0,\"binomial_expansion_sqrt3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010742.lean\",\"98d5503f6641983047992f9c8c4281682b13ad2a4524355f320722d898c668ec\",0,\"lean_workbook_plus_46789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010743.lean\",\"d7547b8505e6b6fae5d64d5b04dd82d72de2db8e749ba8f77193620fbcf0d399\",0,\"set_intersection_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209473,
+      "path": "data/train/p8f/oproofs-s00002-r00010740-n000004-0000-8a789c5fcc278596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "8a789c5fcc278596615cffe9227f39453231c6c7766b05bf06a2d6f3eba4a47c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010744-n000004.json b/manifests/batches/oproofs/s00002-r00010744-n000004.json
index 1dffcb83ff3e4ec635e7ab312d3daf2ef5bb39f2..950ddebb9cccac965bfa68a0787d3bd312c54ca6 100644
--- a/manifests/batches/oproofs/s00002-r00010744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010744-n000004",
   "batch_fingerprint": "02bc09538d59e0a1f3c22c8c8f7d2f6813a3bc4fb17a12dd20d4859cf44b7ea3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010744-n000004-0000-f7ed4a3a15fa6910.parquet",
-      "sha256": "f7ed4a3a15fa6910f7ce22cbbb159ecdd17f243e48b9461a8a7b0d26f0a36e21",
-      "bytes": 97734,
-      "rows": 15,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010744-n000004-0000-4d77a6829c4de555.parquet",
-      "sha256": "4d77a6829c4de555cbc222e647c7c8e4b3c75ea37f5a9444674fff0e116fd61e",
-      "bytes": 45804,
-      "rows": 4,
-      "revision": "310ac1633ca05a78abe2d51e2eefcbdf25e8c764"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010745.lean\",\"6756a0a7c8570199cf58fc1a2359d61bfa463a87074e471e5688f7f55a8b3e8a\",0,\"lean_workbook_plus_44558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010746.lean\",\"a815ac98c2cbb5019aa8dfe258699ec0119e439f548cb75c7f7c25855d782134\",0,\"lean_workbook_plus_80862\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010747.lean\",\"d2d5a2ca30e88626f47df831622dde83cb267ee875bcd5b0b99cc2ffcccfb61e\",0,\"lean_workbook_plus_54453\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 97734,
+      "path": "data/train/p55/oproofs-s00002-r00010744-n000004-0000-f7ed4a3a15fa6910.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f7ed4a3a15fa6910f7ce22cbbb159ecdd17f243e48b9461a8a7b0d26f0a36e21"
+    },
+    {
+      "bytes": 45804,
+      "path": "data/dev/p55/oproofs-s00002-r00010744-n000004-0000-4d77a6829c4de555.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4d77a6829c4de555cbc222e647c7c8e4b3c75ea37f5a9444674fff0e116fd61e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010748-n000004.json b/manifests/batches/oproofs/s00002-r00010748-n000004.json
index 3d348bb12b018fb076e973c2dd0a08d7ab933443..786f4439394c8322f06317251ffc556a88e60c90 100644
--- a/manifests/batches/oproofs/s00002-r00010748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010748-n000004",
   "batch_fingerprint": "f9d0d5c927a50232d2af0ad6620085ca91f8fd97115448820176b154a908304e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010748-n000004-0000-fa1f93937a81de26.parquet",
-      "sha256": "fa1f93937a81de26890f5f6442457de1cb5ed755b111d879a770e489b581cf48",
-      "bytes": 106346,
-      "rows": 11,
-      "revision": "92cc955c7d4c391393a65a0970af74667d012324"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010748-n000004-0000-2e1b428ca2cf15d1.parquet",
-      "sha256": "2e1b428ca2cf15d1b3c65c9afc909e47de7112bd4523900ed06e5744c0d2e503",
-      "bytes": 275974,
-      "rows": 9,
-      "revision": "92cc955c7d4c391393a65a0970af74667d012324"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010749.lean\",\"2420be623b862a51d79ab7f85bd115c91953c30111c5b64be8dc86dad76a789f\",0,\"lean_workbook_45240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010750.lean\",\"0243a32c6ef430d2c0cc43b9df860e68ef632789091d286d7f6ca55ac0427d77\",0,\"lean_workbook_plus_59742\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010751.lean\",\"a79eb26e3d74ba102641897eb688f2d8803f213dd845bf22d6b18ce1092eb912\",0,\"lean_workbook_plus_46174\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106346,
+      "path": "data/train/pe0/oproofs-s00002-r00010748-n000004-0000-fa1f93937a81de26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "fa1f93937a81de26890f5f6442457de1cb5ed755b111d879a770e489b581cf48"
+    },
+    {
+      "bytes": 275974,
+      "path": "data/dev/pe0/oproofs-s00002-r00010748-n000004-0000-2e1b428ca2cf15d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2e1b428ca2cf15d1b3c65c9afc909e47de7112bd4523900ed06e5744c0d2e503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010752-n000004.json b/manifests/batches/oproofs/s00002-r00010752-n000004.json
index fb8284fa2ae8b5d9012672a2f5edfbf477ffc391..4eedb8a680cb8cd627da8100ce82b39585185aa7 100644
--- a/manifests/batches/oproofs/s00002-r00010752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010752-n000004",
   "batch_fingerprint": "08b86dab3b4945ff9f42ebbefe89c6790922129173ec43b5976393965d7c89cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010752-n000004-0000-46966e32710fb5c3.parquet",
-      "sha256": "46966e32710fb5c331dd11afa3dc265bcbb0a14737df834b340e76df3af0708b",
-      "bytes": 138292,
-      "rows": 12,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010752-n000004-0000-0bfaa48e19c4b503.parquet",
-      "sha256": "0bfaa48e19c4b5039f26349a905b4a517c0682df263c7fbdd453f0490cda54b8",
-      "bytes": 61052,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010753.lean\",\"35f9dbad6d5b5943c29fa31b44c78f41dd470f836045ca042cc021c3c97693af\",0,\"lean_workbook_plus_58778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010754.lean\",\"16918aefd370b8350e72b39f3f8f9bfff6e237173cb51916f8151fb95513b56e\",0,\"lean_workbook_plus_29810\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010755.lean\",\"bb1d66dc9c857f9a4cbd7a37163a24e9f828a9643d0680b4b47b1cb3c6f45253\",0,\"ferris_wheel_tickets\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 138292,
+      "path": "data/train/p97/oproofs-s00002-r00010752-n000004-0000-46966e32710fb5c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "46966e32710fb5c331dd11afa3dc265bcbb0a14737df834b340e76df3af0708b"
+    },
+    {
+      "bytes": 61052,
+      "path": "data/internal_test/p97/oproofs-s00002-r00010752-n000004-0000-0bfaa48e19c4b503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0bfaa48e19c4b5039f26349a905b4a517c0682df263c7fbdd453f0490cda54b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010756-n000004.json b/manifests/batches/oproofs/s00002-r00010756-n000004.json
index fceb6b3a52ae4b473b23392bef1121db6499e9fa..3513df182f6a452ecc8a6bcf5330bfd90819b888 100644
--- a/manifests/batches/oproofs/s00002-r00010756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010756-n000004",
   "batch_fingerprint": "6f2c59ee8559c373a1622c0c5f85dba64838cbe1c70559adc3a9f1b02deec10b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010756-n000004-0000-916a0877a65d970c.parquet",
-      "sha256": "916a0877a65d970c35b83cbc26f171e4a19c09d2f6dbb59afa2900dcd2024569",
-      "bytes": 377504,
-      "rows": 23,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010757.lean\",\"ba46d1fe430d46d40c9bdd28690214ec5a096dbb0e74a4d345f06409ec0b8a3f\",0,\"lean_workbook_30143\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010758.lean\",\"5fa33686b5fadca29a2be11baf7e9b3a338b46ceeb3620f727c86bf25d9526db\",0,\"lean_workbook_plus_13372\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010759.lean\",\"36ecca4e49f70c1c233b620b0addf7f343d1e44cc94b09c39d18ffab081e75d1\",0,\"lean_workbook_plus_71362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 377504,
+      "path": "data/train/pda/oproofs-s00002-r00010756-n000004-0000-916a0877a65d970c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "916a0877a65d970c35b83cbc26f171e4a19c09d2f6dbb59afa2900dcd2024569"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010760-n000004.json b/manifests/batches/oproofs/s00002-r00010760-n000004.json
index c8e3719be64db35be0de6879de81a26c6bd728ba..91341f526e0bffbed76c2f51d850c9541c9bca26 100644
--- a/manifests/batches/oproofs/s00002-r00010760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010760-n000004",
   "batch_fingerprint": "ac7930bcd8d004896c17e77626efc0b96992329598019d6730165f9b334089b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010760-n000004-0000-0bc4e3cbda5f1051.parquet",
-      "sha256": "0bc4e3cbda5f1051c27608c78303e394b90a541bf506e627fb1b90009fbe7295",
-      "bytes": 114358,
-      "rows": 13,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010760-n000004-0000-ea6af1b9abcf5812.parquet",
-      "sha256": "ea6af1b9abcf58128361e8f59850af356e8859ff71263d7cacd099ac137527df",
-      "bytes": 90461,
-      "rows": 5,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010761.lean\",\"07ed17ee59dbdbbab1bf27a3464fede9c6769de5bd2c815d52d6887bf79fde10\",0,\"lean_workbook_27299\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010762.lean\",\"a4d8af950387657fdb7f20e21dfab45a12aad07b05cca4899d6ebeb07b141486\",0,\"lean_workbook_plus_32067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010763.lean\",\"ed72a591ad5946535edddf6c1b1ea5d6c9d9e2cf3bc7cfdb9833237a1d16910f\",0,\"lean_workbook_17391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114358,
+      "path": "data/train/p02/oproofs-s00002-r00010760-n000004-0000-0bc4e3cbda5f1051.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0bc4e3cbda5f1051c27608c78303e394b90a541bf506e627fb1b90009fbe7295"
+    },
+    {
+      "bytes": 90461,
+      "path": "data/dev/p02/oproofs-s00002-r00010760-n000004-0000-ea6af1b9abcf5812.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ea6af1b9abcf58128361e8f59850af356e8859ff71263d7cacd099ac137527df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010764-n000004.json b/manifests/batches/oproofs/s00002-r00010764-n000004.json
index 50511348339ee98ede72ce812b97d0e2b4e7351b..aa6946d0a904a7e4bfca9c295c5b628680d905ef 100644
--- a/manifests/batches/oproofs/s00002-r00010764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010764-n000004",
   "batch_fingerprint": "e9f22c40f782f5e1da4efa541bae24ed80a56ab96a9ed121e6204ec2f9de9167",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010764-n000004-0000-17d0a9201916bf8c.parquet",
-      "sha256": "17d0a9201916bf8c4f673bf8adc4f828c38cb131e0cce8d188c5e3455aba3702",
-      "bytes": 101768,
-      "rows": 10,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010764-n000004-0000-c562e044d0acb3f7.parquet",
-      "sha256": "c562e044d0acb3f7191469419d1c386a7b08a40433e0cafee359c26d4b3eec04",
-      "bytes": 74394,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010765.lean\",\"a3f7e61fb0565e6eb467b6b3df698829f7533855b1fa8040826f67282b64b89e\",0,\"lean_workbook_plus_35563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010766.lean\",\"88736477a7bd1793ff205af92cdb8ba18573dffb0ca56ad061385acdf439a589\",0,\"sum_of_divisors_29\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010767.lean\",\"13389a79d1f13b69ce1a9799da6c21ab6669b6d982af2cf160122ca8787c722f\",0,\"lean_workbook_14548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101768,
+      "path": "data/train/p16/oproofs-s00002-r00010764-n000004-0000-17d0a9201916bf8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "17d0a9201916bf8c4f673bf8adc4f828c38cb131e0cce8d188c5e3455aba3702"
+    },
+    {
+      "bytes": 74394,
+      "path": "data/dev/p16/oproofs-s00002-r00010764-n000004-0000-c562e044d0acb3f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c562e044d0acb3f7191469419d1c386a7b08a40433e0cafee359c26d4b3eec04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010768-n000004.json b/manifests/batches/oproofs/s00002-r00010768-n000004.json
index 42000eb320e4f2cf74d30a1f90049342580ef5e3..424135c8c11d8dab402751948350d145e33a6f6d 100644
--- a/manifests/batches/oproofs/s00002-r00010768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010768-n000004",
   "batch_fingerprint": "3c9953a5db423b7db23701c73f54701489fb220948d8f4063e3b360054ee48e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010768-n000004-0000-b59ac34993a0316b.parquet",
-      "sha256": "b59ac34993a0316b4c04f50237d12bb2f928b8f65afb95b329d3863033273971",
-      "bytes": 202255,
-      "rows": 13,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010769.lean\",\"46494782194ea1b2068380e2c3b486fa9c1df9bf48d9c7e886bf1000cc224051\",0,\"lean_workbook_plus_59922\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010770.lean\",\"6dbc87688410e102fb082c2ee4eedb49574c4219d5ffaaf4dd6e62b37ec4b778\",0,\"lean_workbook_plus_66136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010771.lean\",\"47570e43c952279db15babea2b49aa3acfef1f4b291d02f7cc7071e047800d35\",0,\"lean_workbook_plus_17047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202255,
+      "path": "data/train/pc1/oproofs-s00002-r00010768-n000004-0000-b59ac34993a0316b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b59ac34993a0316b4c04f50237d12bb2f928b8f65afb95b329d3863033273971"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010772-n000004.json b/manifests/batches/oproofs/s00002-r00010772-n000004.json
index de34de907a145ae8806d9531f33c19f9878a05c3..0c1f7daf4b2d6ba4cefb3927e655f7911c587be3 100644
--- a/manifests/batches/oproofs/s00002-r00010772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010772-n000004",
   "batch_fingerprint": "17acbb6d2bcd645658f5110689aee4b49667884de57a703975fc433fad9faca8",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10772",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10773",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10774",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10775"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010772.lean\",\"733e5a33a54d5afb99e24a5d59d50cb005eb93d1f18eadd9e345d6d97ef73eeb\",0,\"lean_workbook_plus_31582\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010773.lean\",\"bf6efb8455220f9d2ad770bad4466e8b60a8eb7f7a041b2e84033c83fe330b77\",0,\"lean_workbook_plus_32725\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010774.lean\",\"33b671216eb8df0f90f429bf844d56d96b4da8fe071344461a962a72d83775f6\",0,\"lean_workbook_plus_63002\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010775.lean\",\"6ead8d77d96a4acac053e688d97c522ac302ee880e37b7c3620d100794659a03\",0,\"lean_workbook_plus_8702\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010772-n000004-0000-6ea2d7d9a7eaf660.parquet",
-      "sha256": "6ea2d7d9a7eaf660d6f42356e20b79e5240078ddbcbb228932944ce1ab77318e",
       "bytes": 202798,
+      "path": "data/train/p7b/oproofs-s00002-r00010772-n000004-0000-6ea2d7d9a7eaf660.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
+      "sha256": "6ea2d7d9a7eaf660d6f42356e20b79e5240078ddbcbb228932944ce1ab77318e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010772-n000004-0000-551b75e4f77a58d6.parquet",
-      "sha256": "551b75e4f77a58d6a924571efe0b2afc263c6985578d21b4b3961719ed98d598",
       "bytes": 74909,
+      "path": "data/dev/p7b/oproofs-s00002-r00010772-n000004-0000-551b75e4f77a58d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
+      "sha256": "551b75e4f77a58d6a924571efe0b2afc263c6985578d21b4b3961719ed98d598"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010772-n000004-0000-4b4bd967509f3d9b.parquet",
-      "sha256": "4b4bd967509f3d9bcdc1b29826b4a03eac08eda6162f8d628f0485b92580b4be",
       "bytes": 74144,
+      "path": "data/internal_test/p7b/oproofs-s00002-r00010772-n000004-0000-4b4bd967509f3d9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
+      "sha256": "4b4bd967509f3d9bcdc1b29826b4a03eac08eda6162f8d628f0485b92580b4be"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10772",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10773",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10774",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10775"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010772.lean\",\"733e5a33a54d5afb99e24a5d59d50cb005eb93d1f18eadd9e345d6d97ef73eeb\",0,\"lean_workbook_plus_31582\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010773.lean\",\"bf6efb8455220f9d2ad770bad4466e8b60a8eb7f7a041b2e84033c83fe330b77\",0,\"lean_workbook_plus_32725\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010774.lean\",\"33b671216eb8df0f90f429bf844d56d96b4da8fe071344461a962a72d83775f6\",0,\"lean_workbook_plus_63002\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010775.lean\",\"6ead8d77d96a4acac053e688d97c522ac302ee880e37b7c3620d100794659a03\",0,\"lean_workbook_plus_8702\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010776-n000004.json b/manifests/batches/oproofs/s00002-r00010776-n000004.json
index 9c5b2481f2b7b1e44cba91f632b0051cbbd895bd..11dcdbe8df7944d9d229268c3d3bdd8325cd8264 100644
--- a/manifests/batches/oproofs/s00002-r00010776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010776-n000004",
   "batch_fingerprint": "ca90995552d9593197706a9c27ae73e8e599a5d1483efbf8dad8c131a5b8e537",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010776-n000004-0000-c23745dcda5f9dbe.parquet",
-      "sha256": "c23745dcda5f9dbe62a98457d3eefda394d49490dfd960ea638e2a52396e0739",
-      "bytes": 178814,
-      "rows": 9,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010776-n000004-0000-e76c31d61587bcf4.parquet",
-      "sha256": "e76c31d61587bcf40f76f62bc1fee1ea3b51b2a5922f5fca27ef52c1e80b01d9",
-      "bytes": 59005,
-      "rows": 6,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010777.lean\",\"e650445b375a7ec37442a72bedb094a0778e8b7300dbfc6ecf3f6ca50a199c79\",0,\"lean_workbook_21548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010778.lean\",\"2b1ce62cdc5d41709e8d818419e5712452a11c26af4625902f922cf347bbbba2\",0,\"lean_workbook_plus_47925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010779.lean\",\"b7faa1183b7bbb2168e3bdea931beef218850427648e8fb4870e5563a7a18ccb\",0,\"lean_workbook_plus_56555\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178814,
+      "path": "data/train/p97/oproofs-s00002-r00010776-n000004-0000-c23745dcda5f9dbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c23745dcda5f9dbe62a98457d3eefda394d49490dfd960ea638e2a52396e0739"
+    },
+    {
+      "bytes": 59005,
+      "path": "data/internal_test/p97/oproofs-s00002-r00010776-n000004-0000-e76c31d61587bcf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e76c31d61587bcf40f76f62bc1fee1ea3b51b2a5922f5fca27ef52c1e80b01d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010780-n000004.json b/manifests/batches/oproofs/s00002-r00010780-n000004.json
index a0b84b3f0c6ea5681d6df07d1700814060a46d73..e1d351447e24c28e063b3c651d493f7b74328999 100644
--- a/manifests/batches/oproofs/s00002-r00010780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010780-n000004",
   "batch_fingerprint": "d5bc43fde06fe7a01afb894fe16be3eaf762b56d21394e9231edc2fb935988a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010780-n000004-0000-71869f34c3f67fc7.parquet",
-      "sha256": "71869f34c3f67fc7907d513db01760cf9a51a61783dd419636b606ee4d35e6e6",
-      "bytes": 253629,
-      "rows": 19,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010781.lean\",\"5162a1e6d6b837fd084a38458dc7be51008ea4b7ffffa6548e8d15e7c95a35f5\",0,\"lean_workbook_plus_17892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010782.lean\",\"e8460fd4aaffc8dd7435d8bc090b09f69dc93e44d963da1c5af86c4a638633d6\",0,\"lean_workbook_plus_40208\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010783.lean\",\"1973866f8c95b658e04c4d87b82aff2f8ecc93efbbd9635ead7ce181a3322775\",0,\"lean_workbook_plus_50676\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253629,
+      "path": "data/train/p4d/oproofs-s00002-r00010780-n000004-0000-71869f34c3f67fc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "71869f34c3f67fc7907d513db01760cf9a51a61783dd419636b606ee4d35e6e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010784-n000004.json b/manifests/batches/oproofs/s00002-r00010784-n000004.json
index 8b9e62583eab3fc391aaff094a1c72a84270b07b..0ec3b755f9d1282f91c47578bfbcc8a7ec5c613c 100644
--- a/manifests/batches/oproofs/s00002-r00010784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010784-n000004",
   "batch_fingerprint": "f5aea1d4242523c749ccf107dfb1fc8e721fc0e9e5992d1d56d151875cd4b1c4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010784-n000004-0000-b64cf22aaaa90bfc.parquet",
-      "sha256": "b64cf22aaaa90bfc87c1e49aa1304f41ebb243bdde410b34488c1edeedcd64de",
-      "bytes": 225817,
-      "rows": 26,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010785.lean\",\"a597b02bdf15edc2a30d37ca482d4dc691287cb614f2ded253ae6894e2b9ed66\",0,\"lean_workbook_plus_32450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010786.lean\",\"f9f9da0151a6d80e2031a8b09d41bd8ccdd2848c10b3a67ef7387d19160fa478\",0,\"lean_workbook_plus_41295\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010787.lean\",\"efe1a03cf45d10f699f56f219c8dceea8ddc8739c0e6d8dcf6ba459e83964391\",0,\"lean_workbook_plus_34374\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225817,
+      "path": "data/train/pe5/oproofs-s00002-r00010784-n000004-0000-b64cf22aaaa90bfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b64cf22aaaa90bfc87c1e49aa1304f41ebb243bdde410b34488c1edeedcd64de"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010788-n000004.json b/manifests/batches/oproofs/s00002-r00010788-n000004.json
index 91856f6210372e7d7b7af6652a04027c0ce42109..e77035cec344ec626d93a11f280cd2817853c74d 100644
--- a/manifests/batches/oproofs/s00002-r00010788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010788-n000004",
   "batch_fingerprint": "72566d0233278c904814ce4173d697841558e8110c920cfefd59896f36647d67",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010788-n000004-0000-f8dc482cc77542b7.parquet",
-      "sha256": "f8dc482cc77542b7fef58049350e456c68d2ca1535ce1d067af47093e76af289",
-      "bytes": 158413,
-      "rows": 13,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010789.lean\",\"a18d05d8bf09e3bb342e58cc220c25dd78b85cc5fa9f186b43e8f03acd7fd30a\",0,\"lean_workbook_plus_61368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010790.lean\",\"bc96b55e0613b401f4bde6c09bc0268fa31b422a87b4c086a4dde5c962fb956f\",0,\"lean_workbook_plus_66954\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010791.lean\",\"2b95b9b0a04bc76f7ea35428e337298261ba315fb02f0e8bc69735e32f0636a8\",0,\"lean_workbook_25635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158413,
+      "path": "data/train/p8c/oproofs-s00002-r00010788-n000004-0000-f8dc482cc77542b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f8dc482cc77542b7fef58049350e456c68d2ca1535ce1d067af47093e76af289"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010792-n000004.json b/manifests/batches/oproofs/s00002-r00010792-n000004.json
index 7f7524ecbdbab4cd2197c81e13fcc44a1f33f401..af5b0e1561ef5938418152aec5a97bc3d51c14bc 100644
--- a/manifests/batches/oproofs/s00002-r00010792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010792-n000004",
   "batch_fingerprint": "2abde4f6463798ebc6dbed9c8f6109d99e58f533bcdbb1ba993bf8c6de628476",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010792-n000004-0000-8a3a3766d14c262d.parquet",
-      "sha256": "8a3a3766d14c262d6e05ed61f54f9fa67da71aecbb7d71b6b756f51c994eb91c",
-      "bytes": 118478,
-      "rows": 9,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010792-n000004-0000-2a8d085e5c3eec5a.parquet",
-      "sha256": "2a8d085e5c3eec5aaf0b8c92ea6e4b075a12731d3dbbbe6355c5a4564818c9f1",
-      "bytes": 132979,
-      "rows": 6,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10793",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010793.lean\",\"ac9a9104e54fcdacb6bd93d71fbbe416d069dd0f695bbba6d1a145b9024eed53\",0,\"lean_workbook_plus_29297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010794.lean\",\"1b3a3167783a25882d24e89b5989e9a00ec6ef317e836a98a586cb484d8f7212\",0,\"lean_workbook_plus_29701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010795.lean\",\"21e819f3655827047ca1ec763de6dcf7c7252851b170fac050c6924e80d6ce22\",0,\"lean_workbook_plus_10768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118478,
+      "path": "data/train/pf9/oproofs-s00002-r00010792-n000004-0000-8a3a3766d14c262d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8a3a3766d14c262d6e05ed61f54f9fa67da71aecbb7d71b6b756f51c994eb91c"
+    },
+    {
+      "bytes": 132979,
+      "path": "data/dev/pf9/oproofs-s00002-r00010792-n000004-0000-2a8d085e5c3eec5a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2a8d085e5c3eec5aaf0b8c92ea6e4b075a12731d3dbbbe6355c5a4564818c9f1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010796-n000004.json b/manifests/batches/oproofs/s00002-r00010796-n000004.json
index 94a44ee11c78a710ff30364fb330b60752a0382c..5793e83c1cf688d0a353d77ef6aaa3c83056475b 100644
--- a/manifests/batches/oproofs/s00002-r00010796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010796-n000004",
   "batch_fingerprint": "892de73b0dc31d77ef90c1d0b78550a0f124c9dc185c34875cc146a01e106068",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010796-n000004-0000-2ee3c87a7c60784c.parquet",
-      "sha256": "2ee3c87a7c60784c721c32a949597cb4ab91749cac45bd916901efad0bbf857a",
-      "bytes": 148598,
-      "rows": 17,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010797.lean\",\"c8358831dd72c9670140dcdfdd10b4c1fc6783fc69be1d115b6b78686c1aad3a\",0,\"frame_uncovered_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010798.lean\",\"26c8a43695a8721bf31c008886f43eb08826acec569144205544639e5676fab2\",0,\"lean_workbook_plus_74659\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010799.lean\",\"86d268dac0940367e72170c4fab27ef1cb725c3d7cbcca9255a1e49c7597d0a9\",0,\"lean_workbook_plus_17093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148598,
+      "path": "data/train/pc4/oproofs-s00002-r00010796-n000004-0000-2ee3c87a7c60784c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2ee3c87a7c60784c721c32a949597cb4ab91749cac45bd916901efad0bbf857a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010800-n000004.json b/manifests/batches/oproofs/s00002-r00010800-n000004.json
index 4afe42f0eadb105d27f689a8ba96ea652a0ee7ca..c8d2c60026dae47171d784b3f68e60e4e6e9f416 100644
--- a/manifests/batches/oproofs/s00002-r00010800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010800-n000004",
   "batch_fingerprint": "331c2b0078d311d21b753753b58431fd72502ff31252f4efe03b54cb53f623dd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010800-n000004-0000-25bcdba8364cb57e.parquet",
-      "sha256": "25bcdba8364cb57ed35dcd7326d37e01116a2c56a46509d19613e19048b3d4c7",
-      "bytes": 153376,
-      "rows": 22,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010801.lean\",\"7ac4aa0a6c5c170455c763b1aab4ba957eacaa0e27368302d4ba22c66c7e9c57\",0,\"lean_workbook_plus_65710\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010802.lean\",\"2e7f9e9a6bad25a2e16aa5b45e203b02274a073f2bf9929cd96447b272572862\",0,\"exp_func_minimum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010803.lean\",\"86f4a98d300ce7e1d19564f7e781c65a159dcb1292b73378af2f8746e9b06419\",0,\"lean_workbook_20242\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153376,
+      "path": "data/train/pc5/oproofs-s00002-r00010800-n000004-0000-25bcdba8364cb57e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "25bcdba8364cb57ed35dcd7326d37e01116a2c56a46509d19613e19048b3d4c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010804-n000004.json b/manifests/batches/oproofs/s00002-r00010804-n000004.json
index f26c00d185aa24fcdd95b82a6252dcd108531823..419af6dcecba6ccf180bbe5ccfa32bcf90901d0d 100644
--- a/manifests/batches/oproofs/s00002-r00010804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010804-n000004",
   "batch_fingerprint": "c640bb2cf97ea9624aed1af97ec5a308302e7473d71179dcfbf7b162ac3c92ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010804-n000004-0000-2ccecd9ecd362b19.parquet",
-      "sha256": "2ccecd9ecd362b19f77f061151a9e4250ec66eff472460ecf052c8b50c5befca",
-      "bytes": 246951,
-      "rows": 10,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010804-n000004-0000-2247ab8a6e36e37a.parquet",
-      "sha256": "2247ab8a6e36e37a2a814f0ecb1ed1f403f7fa7d9e9f30391f6303a6934e3639",
-      "bytes": 68380,
-      "rows": 8,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10805",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010805.lean\",\"8a7a0ace9b33803b27c7e542b4c0938bbdbedda775ac13a4bcc6acca68b1b870\",0,\"lean_workbook_30081\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010806.lean\",\"f445213f5bd8b003af37ecf4019b1257734fd266817e48a5ec7fd8487327483a\",0,\"angle_in_second_quadrant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010807.lean\",\"af1f64b3ef1e15aad6cd2915c61ee3c0277f2425451cfdd7b55d643132e99e5e\",0,\"lean_workbook_plus_74667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246951,
+      "path": "data/train/p64/oproofs-s00002-r00010804-n000004-0000-2ccecd9ecd362b19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2ccecd9ecd362b19f77f061151a9e4250ec66eff472460ecf052c8b50c5befca"
+    },
+    {
+      "bytes": 68380,
+      "path": "data/dev/p64/oproofs-s00002-r00010804-n000004-0000-2247ab8a6e36e37a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2247ab8a6e36e37a2a814f0ecb1ed1f403f7fa7d9e9f30391f6303a6934e3639"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010808-n000004.json b/manifests/batches/oproofs/s00002-r00010808-n000004.json
index 320b56d35a91ee7c3099e0434506cc809cf9bc57..c4ab6ec23996c98e437b18e58a12cf43ac971874 100644
--- a/manifests/batches/oproofs/s00002-r00010808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010808-n000004",
   "batch_fingerprint": "de356bd0f9b24de7b04affec2d21e356720fab076190a5b54c0c615a681c30b4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010808-n000004-0000-38f09ddc3dd5f31b.parquet",
-      "sha256": "38f09ddc3dd5f31bca4c3bbdb6693c46d0acfd6d433fdc77dbb8b7f842167fcf",
-      "bytes": 116794,
-      "rows": 10,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010808-n000004-0000-fa98c713f611fc25.parquet",
-      "sha256": "fa98c713f611fc25ba5dff7be8edb8a47f9755029d745584bec16fd5b016faad",
-      "bytes": 63293,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010809.lean\",\"68063b7d68cd45fd286005b439372c3a640b473dd2570f34d46153c9933e6d40\",0,\"lean_workbook_plus_55360\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010810.lean\",\"4c2c762bfab5c285433ee98a11cd67a2a60f1a674a5242597805f0bed03a1644\",0,\"lean_workbook_plus_68569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010811.lean\",\"3ac6e1e6cc80cc031c3f152ac8e24f94ce8872527df1476a14c3d1bd206e7199\",0,\"lean_workbook_plus_21895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116794,
+      "path": "data/train/pa1/oproofs-s00002-r00010808-n000004-0000-38f09ddc3dd5f31b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "38f09ddc3dd5f31bca4c3bbdb6693c46d0acfd6d433fdc77dbb8b7f842167fcf"
+    },
+    {
+      "bytes": 63293,
+      "path": "data/dev/pa1/oproofs-s00002-r00010808-n000004-0000-fa98c713f611fc25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fa98c713f611fc25ba5dff7be8edb8a47f9755029d745584bec16fd5b016faad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010812-n000004.json b/manifests/batches/oproofs/s00002-r00010812-n000004.json
index d7e4b3754d0b8143ecdd701cb83f31cc158a1e11..ab1d17e3ea85c3ba4ba95379674c36c68b8ab297 100644
--- a/manifests/batches/oproofs/s00002-r00010812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010812-n000004",
   "batch_fingerprint": "7cd7d68c2e53343fb32465b5765bd52c0e66cf1b8804112dcb4b53d7805da828",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010812-n000004-0000-c68c924c4161cc1e.parquet",
-      "sha256": "c68c924c4161cc1e2fc5d219af99233f80f5a05337f6eecc4d0b013464d1d079",
-      "bytes": 87074,
-      "rows": 8,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010812-n000004-0000-c3cc2d40d7475a4c.parquet",
-      "sha256": "c3cc2d40d7475a4cb9a9d95cd963ac16350c14dc9458f2d5eb4c379daf1ddfe0",
-      "bytes": 426017,
-      "rows": 6,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10813",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010813.lean\",\"7c5a9577de868e07235a21037041333095372e61e76715c1bef160e2fad7b9cc\",0,\"lean_workbook_plus_66065\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010814.lean\",\"480ccecca5984ce8dc01a482a78524d59f818de7656c76e497091d0c5792206b\",1,\"remainder_representation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010815.lean\",\"cf19d25b09c88400c847bc4ca649efbed499d51ff69a0ef00a128002e9ed8ae2\",0,\"lean_workbook_plus_36322\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87074,
+      "path": "data/train/p87/oproofs-s00002-r00010812-n000004-0000-c68c924c4161cc1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c68c924c4161cc1e2fc5d219af99233f80f5a05337f6eecc4d0b013464d1d079"
+    },
+    {
+      "bytes": 426017,
+      "path": "data/dev/p87/oproofs-s00002-r00010812-n000004-0000-c3cc2d40d7475a4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c3cc2d40d7475a4cb9a9d95cd963ac16350c14dc9458f2d5eb4c379daf1ddfe0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010816-n000004.json b/manifests/batches/oproofs/s00002-r00010816-n000004.json
index acf7f39f326ee7f34ff3080f424153549b9add68..2f5d0a5f73c5f4bd3f227ef4e866897ce0348e8f 100644
--- a/manifests/batches/oproofs/s00002-r00010816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010816-n000004",
   "batch_fingerprint": "b9c602e10d6fb796760134f62c8d563b3efed505a394e07851ba03552d952f9a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010816-n000004-0000-bbca33a4a2900dea.parquet",
-      "sha256": "bbca33a4a2900deade8642d1477cf529d6a463fb25769c410dbca2219ee6afc2",
-      "bytes": 255709,
-      "rows": 16,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010816-n000004-0000-49066cb6df866672.parquet",
-      "sha256": "49066cb6df86667285120494c91cc9647f5f1a41f8034ab9f4e1cf717dee70e7",
-      "bytes": 78791,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10817",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010817.lean\",\"e9ba90ec55977a64200b164d2836179dcda3b638a48adb01bdbc7732ef23fac9\",0,\"lean_workbook_plus_66834\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010818.lean\",\"8a2c375769e4a09ab29253b45490a570fa9dfeb5aebb3362319b0a4abf57762c\",0,\"lean_workbook_plus_46789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010819.lean\",\"f2cb78eba67d92aeca691ec2462ab8d78ea702fd29493b2f3c7ade62b3346c75\",0,\"set_intersection_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255709,
+      "path": "data/train/p62/oproofs-s00002-r00010816-n000004-0000-bbca33a4a2900dea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bbca33a4a2900deade8642d1477cf529d6a463fb25769c410dbca2219ee6afc2"
+    },
+    {
+      "bytes": 78791,
+      "path": "data/internal_test/p62/oproofs-s00002-r00010816-n000004-0000-49066cb6df866672.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "49066cb6df86667285120494c91cc9647f5f1a41f8034ab9f4e1cf717dee70e7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010820-n000004.json b/manifests/batches/oproofs/s00002-r00010820-n000004.json
index 33bce429a3c83ccabab17d4940a9c32f46249e1f..6a4a90f87313784eac866d92e1d081fa63b9fa26 100644
--- a/manifests/batches/oproofs/s00002-r00010820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010820-n000004",
   "batch_fingerprint": "add1e8294428433ffa405ba83d53aa3467e40304f8527052b11571944bb66503",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010820-n000004-0000-15de54467a81a573.parquet",
-      "sha256": "15de54467a81a573d4100e86f25edc8c9f2afd3cf5444e14125c3c4e47fe3f3d",
-      "bytes": 110786,
-      "rows": 14,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010820-n000004-0000-a27c6eb889f5119b.parquet",
-      "sha256": "a27c6eb889f5119b6776f77312499e8e62749043bb9319e80d927284e428a039",
-      "bytes": 46542,
-      "rows": 4,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10821",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010821.lean\",\"c987666215ff9a62b12ebfe40616c4b3d0e96f6c9585801ad87625aed21bf41c\",0,\"lean_workbook_plus_44558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010822.lean\",\"017574b0d570515fcc5e50c625610b9621d1793b24f9f56c4b5e5f34b52409e6\",0,\"lean_workbook_plus_54453\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010823.lean\",\"57247155048db73f8a53c660997491f57177845e5e33a32811e328cb6afc2503\",0,\"lean_workbook_plus_59742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110786,
+      "path": "data/train/p56/oproofs-s00002-r00010820-n000004-0000-15de54467a81a573.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "15de54467a81a573d4100e86f25edc8c9f2afd3cf5444e14125c3c4e47fe3f3d"
+    },
+    {
+      "bytes": 46542,
+      "path": "data/dev/p56/oproofs-s00002-r00010820-n000004-0000-a27c6eb889f5119b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a27c6eb889f5119b6776f77312499e8e62749043bb9319e80d927284e428a039"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010824-n000004.json b/manifests/batches/oproofs/s00002-r00010824-n000004.json
index d253421140b50c13a3db8c14ecbe191834a7768b..9dc9ad5599a58f70b4b4a500408b74d75bb794e8 100644
--- a/manifests/batches/oproofs/s00002-r00010824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010824-n000004",
   "batch_fingerprint": "bbc018c94867de04335c5bd3e22d67da86709b244d69a9d2a9e2990ad6861873",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010824-n000004-0000-db8c02a9e15f4e0d.parquet",
-      "sha256": "db8c02a9e15f4e0d46501fea39443fb35b326701b163fdf4d4716a847f0e8599",
-      "bytes": 103216,
-      "rows": 12,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010824-n000004-0000-4ac4102016159c82.parquet",
-      "sha256": "4ac4102016159c8271e7ffa7f23d036581ed28475ae20e2a30020468983c3a86",
-      "bytes": 63931,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010825.lean\",\"e1118fd239ddb7f4d88042268c58a68e5ce3e7d0c0838f8c100053c03c1cf734\",0,\"lean_workbook_plus_46174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010826.lean\",\"5e26c5536a730fbf4206b085d707d4db52ea1e25e7f4efc5b5cceb153db7790f\",0,\"lean_workbook_plus_21706\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010827.lean\",\"eda64eba43c3cfa7f8eacfbd734e1600f1add01eb632682361b0960327a4439d\",0,\"lean_workbook_plus_58778\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103216,
+      "path": "data/train/pa3/oproofs-s00002-r00010824-n000004-0000-db8c02a9e15f4e0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "db8c02a9e15f4e0d46501fea39443fb35b326701b163fdf4d4716a847f0e8599"
+    },
+    {
+      "bytes": 63931,
+      "path": "data/internal_test/pa3/oproofs-s00002-r00010824-n000004-0000-4ac4102016159c82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4ac4102016159c8271e7ffa7f23d036581ed28475ae20e2a30020468983c3a86"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010828-n000004.json b/manifests/batches/oproofs/s00002-r00010828-n000004.json
index b82ac7b2a6a56fe9f0f5c908b4bfc7b79275ff0d..11835ca34b8aafb20b3710757ecda8a59125cd7c 100644
--- a/manifests/batches/oproofs/s00002-r00010828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010828-n000004",
   "batch_fingerprint": "7eeaeb1c04adcbfb42a451550ace4c2fe5dd43980c2ebc4a249c497e6d5cf7a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010828-n000004-0000-af84dc9ee18e6948.parquet",
-      "sha256": "af84dc9ee18e6948419d0ac1b8ce7e78e0eeaa8de5a28f7660434995b60f8f99",
-      "bytes": 161212,
-      "rows": 12,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010828-n000004-0000-1a8df0a1b170fce1.parquet",
-      "sha256": "1a8df0a1b170fce1e4d972a13bae66e6de49e6a5b14edaacaf28be59c0956c85",
-      "bytes": 91095,
-      "rows": 3,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010829.lean\",\"4fd78b748919182f1720acdf397ba841805b8a3a3926b92c644cb8f48f234936\",0,\"lean_workbook_44106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010830.lean\",\"c9ac0687161ad6a8aac5b2440c9ff3ffce8d77a4b42c4052101642c1f6d61773\",0,\"lean_workbook_11922\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010831.lean\",\"c5449dea8ce94e52f29a7ac6d0456ff57ec7b0d6895c1d35c84b807196e17a54\",0,\"lean_workbook_plus_71362\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161212,
+      "path": "data/train/p39/oproofs-s00002-r00010828-n000004-0000-af84dc9ee18e6948.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "af84dc9ee18e6948419d0ac1b8ce7e78e0eeaa8de5a28f7660434995b60f8f99"
+    },
+    {
+      "bytes": 91095,
+      "path": "data/dev/p39/oproofs-s00002-r00010828-n000004-0000-1a8df0a1b170fce1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1a8df0a1b170fce1e4d972a13bae66e6de49e6a5b14edaacaf28be59c0956c85"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010832-n000004.json b/manifests/batches/oproofs/s00002-r00010832-n000004.json
index 294686ee346c6052599a23923b5fb298a154297b..1ed7b77ac50b6b5d52c24ed60ec4511233d835b5 100644
--- a/manifests/batches/oproofs/s00002-r00010832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010832-n000004",
   "batch_fingerprint": "23b02a8da5da06d6a2f18f6eecf64bd8a35c26b29d0965276ffcf991733c83b9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010832-n000004-0000-9c2d02ace0d2fcaf.parquet",
-      "sha256": "9c2d02ace0d2fcaf1949f6c2dd082c1a076408eec3a930a0dd2689879b144b5b",
-      "bytes": 298458,
-      "rows": 16,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010833.lean\",\"70da968be06bc8856630dddba2c2605cf6eb56ccd4c3646f9c005c96bbc2f69b\",0,\"lean_workbook_plus_13372\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010834.lean\",\"36522cef3900bdf0737ab0381b9ddf989c695b64f563a3ea11067d2baacc1a48\",0,\"lean_workbook_30143\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010835.lean\",\"f1e92a702467eb7535584bb10bc10ebdfb7ea4e564807e3cbe2b0bf223a7ffc0\",0,\"lean_workbook_plus_32067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 298458,
+      "path": "data/train/pfd/oproofs-s00002-r00010832-n000004-0000-9c2d02ace0d2fcaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9c2d02ace0d2fcaf1949f6c2dd082c1a076408eec3a930a0dd2689879b144b5b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010836-n000004.json b/manifests/batches/oproofs/s00002-r00010836-n000004.json
index 58da375f63e3d13d592b7883b386de6e865cce75..dde3c1f0cf62e9e0cf662907e6022b51cdac4a13 100644
--- a/manifests/batches/oproofs/s00002-r00010836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010836-n000004",
   "batch_fingerprint": "78b43c10f54530e0c571d90c6635532dd627b61a1bb77acec4091593792cc3b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010836-n000004-0000-ab71597ae00b5d8b.parquet",
-      "sha256": "ab71597ae00b5d8b2d13ceb263797dc83f1f239d03ae8ddfeb5520578181d939",
-      "bytes": 176977,
-      "rows": 16,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010837.lean\",\"5addb3343c2d608e41f9c6e623e120814efbc5a5f512230a6bc33dfadd26ecd6\",0,\"lean_workbook_47637\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010838.lean\",\"183e12abbda16947ab95f2bac3fe808d9ca029782e35d6fec63db7237ca60d31\",0,\"lean_workbook_14548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010839.lean\",\"ad77dc631ec6fcef7e1cda21689fbae1d9f369bbd02f98598fbecaa798480611\",0,\"lean_workbook_plus_59922\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 176977,
+      "path": "data/train/p95/oproofs-s00002-r00010836-n000004-0000-ab71597ae00b5d8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ab71597ae00b5d8b2d13ceb263797dc83f1f239d03ae8ddfeb5520578181d939"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010840-n000004.json b/manifests/batches/oproofs/s00002-r00010840-n000004.json
index 3bab978380ef73b3926bf4910797c2b682072cb3..9074ae10196550672ae153b16a75aae95d2890d1 100644
--- a/manifests/batches/oproofs/s00002-r00010840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010840-n000004",
   "batch_fingerprint": "1be4c7ed55955413366a6a59a2902f9fb212ed1df2492a0ee095a77d59072f61",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010840-n000004-0000-9278ab31c3007735.parquet",
-      "sha256": "9278ab31c3007735b392e588ca78a4928be3aaa0ef35f36c1984ff374c01374c",
-      "bytes": 219179,
-      "rows": 13,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010840-n000004-0000-8d993a3c3e163b8f.parquet",
-      "sha256": "8d993a3c3e163b8f6908d6b67825aba67e1953624abf51b73b80e591c8390a29",
-      "bytes": 73076,
-      "rows": 5,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10841",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010841.lean\",\"f94c9426143b51e1663a815574b84699ef4419b23e5ad46e2afeea8e388ee022\",0,\"lean_workbook_plus_66136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010842.lean\",\"d7ea8d9e105a77a96164e9385d6ece913b2761b83d802a985c4ccd7f2afb2fc2\",0,\"lean_workbook_plus_32725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010843.lean\",\"dd900737569d85682c44931a78cede2a2311aaf7d072d2d43f504da864c032ec\",0,\"lean_workbook_plus_63002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219179,
+      "path": "data/train/pfc/oproofs-s00002-r00010840-n000004-0000-9278ab31c3007735.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9278ab31c3007735b392e588ca78a4928be3aaa0ef35f36c1984ff374c01374c"
+    },
+    {
+      "bytes": 73076,
+      "path": "data/internal_test/pfc/oproofs-s00002-r00010840-n000004-0000-8d993a3c3e163b8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "8d993a3c3e163b8f6908d6b67825aba67e1953624abf51b73b80e591c8390a29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010844-n000004.json b/manifests/batches/oproofs/s00002-r00010844-n000004.json
index b2aa142e2200504c9c7ec8d4cfc5115957f028c7..2165bb2129c5c016beb995f274e1f418975cc9e5 100644
--- a/manifests/batches/oproofs/s00002-r00010844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010844-n000004",
   "batch_fingerprint": "91b7e8722f98439aac0d04c80d719ec28026fd6799f596f1b642c9adc7ad0306",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010844-n000004-0000-34f5f15fbac77f4a.parquet",
-      "sha256": "34f5f15fbac77f4aa5fade6a096baaed1eae6b83820e736d2a746b1f142e8e96",
-      "bytes": 387516,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010844-n000004-0000-584bf93d842611ea.parquet",
-      "sha256": "584bf93d842611eaf86e303b66d00da5032758a242239c17ed7a7e17ebfbc5b9",
-      "bytes": 99546,
-      "rows": 6,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010845.lean\",\"05936330424a6a322a9d98843493da4d287a5cbaac81352e72d25ffd1d6fb44e\",0,\"lean_workbook_plus_30472\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010846.lean\",\"370104127de284c6fcf4d49e017784db6a1fbcee4418e27e490399791099b6e4\",0,\"lean_workbook_21548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010847.lean\",\"bfe32cc70806537b57a7d09d954af6d527b73339d87659b79d78b81abb93cded\",0,\"lean_workbook_plus_25169\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387516,
+      "path": "data/train/p2d/oproofs-s00002-r00010844-n000004-0000-34f5f15fbac77f4a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "34f5f15fbac77f4aa5fade6a096baaed1eae6b83820e736d2a746b1f142e8e96"
+    },
+    {
+      "bytes": 99546,
+      "path": "data/dev/p2d/oproofs-s00002-r00010844-n000004-0000-584bf93d842611ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "584bf93d842611eaf86e303b66d00da5032758a242239c17ed7a7e17ebfbc5b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010848-n000004.json b/manifests/batches/oproofs/s00002-r00010848-n000004.json
index 21c5a0cf02d23bb8992739578cbd93232f46a31c..163a34a9c262ce1f0bbf48a0160355684f3ecf47 100644
--- a/manifests/batches/oproofs/s00002-r00010848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010848-n000004",
   "batch_fingerprint": "667017b0cae7ff7ef1d5c814d576b33368fdfa1da651914aa63b6d5a8c4713d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010848-n000004-0000-fee87608fcf265b7.parquet",
-      "sha256": "fee87608fcf265b7282658d88609a558d1713152bec41b82d2475a8acd163128",
-      "bytes": 163733,
-      "rows": 12,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010848-n000004-0000-f5abf3c5d8a1e8c1.parquet",
-      "sha256": "f5abf3c5d8a1e8c1f934c4fff894f0b0f4c96889cfce5fe5b9babfb4961fe0c2",
-      "bytes": 82780,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010849.lean\",\"b96b6e4a3d414618cf7771bb91e5bd707152f4031a46bfdb6b43cc6c4aaae02d\",0,\"lean_workbook_plus_38936\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010850.lean\",\"4e3b4c4bab072f993ac4f81e8268ef15446bb68d929e7508b327819c61106592\",0,\"lean_workbook_plus_50676\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010851.lean\",\"857856e23673678a53f770ac7b4d26267ade11572391e96e5bf6615f17fbde25\",0,\"quadratic_inequality_optimal_constant\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163733,
+      "path": "data/train/p99/oproofs-s00002-r00010848-n000004-0000-fee87608fcf265b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "fee87608fcf265b7282658d88609a558d1713152bec41b82d2475a8acd163128"
+    },
+    {
+      "bytes": 82780,
+      "path": "data/internal_test/p99/oproofs-s00002-r00010848-n000004-0000-f5abf3c5d8a1e8c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f5abf3c5d8a1e8c1f934c4fff894f0b0f4c96889cfce5fe5b9babfb4961fe0c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010852-n000004.json b/manifests/batches/oproofs/s00002-r00010852-n000004.json
index 4c6df321a9545e2c9a96af5b67854929c2d152ea..7914319afd249824d9b4cf4959d7576720420ff2 100644
--- a/manifests/batches/oproofs/s00002-r00010852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010852-n000004",
   "batch_fingerprint": "af47f49984d937b5e90576563beb6247e2e7659ebef5747742f8fac92131de8f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010852-n000004-0000-4303f8559be83726.parquet",
-      "sha256": "4303f8559be837267e49f945a2dd6d574d1d08fb919f91b65fb2aa0d86fa0530",
-      "bytes": 195716,
-      "rows": 19,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10853",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010853.lean\",\"63ca11e5f324b690f969a8206ae46b37e512570c1607b213051a4fba50a68a4e\",0,\"lean_workbook_plus_17892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010854.lean\",\"1b81d49536ec5697235ccffb31bf993a1a564d4cbb2fc9e5721c40747e1cbb7a\",0,\"lean_workbook_plus_40208\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010855.lean\",\"78925002ea946df09248da03e0b85122c2da5456f65e9dc63d82ad89ceb81bab\",0,\"lean_workbook_plus_41295\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195716,
+      "path": "data/train/p72/oproofs-s00002-r00010852-n000004-0000-4303f8559be83726.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4303f8559be837267e49f945a2dd6d574d1d08fb919f91b65fb2aa0d86fa0530"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010856-n000004.json b/manifests/batches/oproofs/s00002-r00010856-n000004.json
index 0432788c1e9c32319feadec985da4bbba6541196..f05be77d708c6f067a2933f32b6ad73941f0f703 100644
--- a/manifests/batches/oproofs/s00002-r00010856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010856-n000004",
   "batch_fingerprint": "3a8c9b9f39aba6c4c288ff4e9f7100c4c942b3976c72c3855eb898fff306d8b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010856-n000004-0000-6cac9501459f3188.parquet",
-      "sha256": "6cac9501459f3188384b11972ff2bfa26fda3e037f78964d98fbfb5e7ecb34fb",
-      "bytes": 98347,
-      "rows": 14,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010857.lean\",\"e5fcc5075819d140c7e6e1b5dde4b37f6e6700ff4077dfcc6dad12053a100c4a\",0,\"lean_workbook_plus_61368\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010858.lean\",\"5b827737857365c61166789fd1bd01524fc8f2b1ee3b73c9567cab588721a0dc\",0,\"lean_workbook_25635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010859.lean\",\"c7e65e9c75d8e5d4a2217193c02a6a4b186dc3ce9e4801f9b87983e617abde99\",0,\"lean_workbook_plus_10768\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98347,
+      "path": "data/train/p0a/oproofs-s00002-r00010856-n000004-0000-6cac9501459f3188.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6cac9501459f3188384b11972ff2bfa26fda3e037f78964d98fbfb5e7ecb34fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010860-n000004.json b/manifests/batches/oproofs/s00002-r00010860-n000004.json
index f323b92a7a4c99ed1c1a53dde43e69fa99f811e5..24b35ffd3ed070612030978a6c1c56fd689379e7 100644
--- a/manifests/batches/oproofs/s00002-r00010860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010860-n000004",
   "batch_fingerprint": "bce7826baf7b68b9c689bd454280b2054c28d28113dd4f48da623d9aba523c73",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010860-n000004-0000-74e4f00db519e8c4.parquet",
-      "sha256": "74e4f00db519e8c4d81783645af477f76a3b8c2e262d4950fc59560c16f7849d",
-      "bytes": 348244,
-      "rows": 8,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010860-n000004-0000-ca155ba6efc17e21.parquet",
-      "sha256": "ca155ba6efc17e217f88d75cfcb868e0e9f84287ebfcd9a264c37bcdf6f575cd",
-      "bytes": 83566,
-      "rows": 8,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010861.lean\",\"716a14d3f6d1671179f6212c742e81b6e8e9518cac9eeb0de0735f275e062f3e\",0,\"frame_uncovered_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010862.lean\",\"49f01b6ccf3e50eb1a7f409d07edf3d4a6b585b30f0c367cd5fd6babb9d5ac7a\",0,\"lean_workbook_plus_29297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010863.lean\",\"252df39cfbc8a7795b0e0405d208108c40382f3b6efe9922851993ca8ca4d4d5\",0,\"lean_workbook_plus_66954\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348244,
+      "path": "data/train/p93/oproofs-s00002-r00010860-n000004-0000-74e4f00db519e8c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "74e4f00db519e8c4d81783645af477f76a3b8c2e262d4950fc59560c16f7849d"
+    },
+    {
+      "bytes": 83566,
+      "path": "data/dev/p93/oproofs-s00002-r00010860-n000004-0000-ca155ba6efc17e21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ca155ba6efc17e217f88d75cfcb868e0e9f84287ebfcd9a264c37bcdf6f575cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010864-n000004.json b/manifests/batches/oproofs/s00002-r00010864-n000004.json
index adfad71c435de72ee99ecf2dff9c8761d2b12bd6..3ed365758bd82a0468a4288ae0bc59d9e95b8efe 100644
--- a/manifests/batches/oproofs/s00002-r00010864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010864-n000004",
   "batch_fingerprint": "f6ae45f6923ed687d8c10b3026221eb0ab11bbac578fce420411f7a977ee9dc3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010864-n000004-0000-40cab814cb190611.parquet",
-      "sha256": "40cab814cb1906112d95a2088ac80c2a3a882e4489ad7027c666e96ebadcba97",
-      "bytes": 134645,
-      "rows": 15,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010864-n000004-0000-b60668b151f9cf8b.parquet",
-      "sha256": "b60668b151f9cf8b8ed0cfbd21ed9d4e10a47a1c268f5b8bb6532518b95c6e2f",
-      "bytes": 90889,
-      "rows": 5,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010865.lean\",\"c8aa49518bff91d2b7d410f5725644838047ed4307fdfbd08aa9cbb10cbaf788\",0,\"lean_workbook_plus_51175\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010866.lean\",\"2b843f4d51e7a0f34be6d07dea962e6881378bfd09b9d308fab80323d85c075e\",0,\"triangle_max_tan\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010867.lean\",\"24b1de44fa83156ffc2870a3430115063f810d70ed361c3a922777ae516cafa2\",0,\"lean_workbook_plus_65710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134645,
+      "path": "data/train/p08/oproofs-s00002-r00010864-n000004-0000-40cab814cb190611.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "40cab814cb1906112d95a2088ac80c2a3a882e4489ad7027c666e96ebadcba97"
+    },
+    {
+      "bytes": 90889,
+      "path": "data/dev/p08/oproofs-s00002-r00010864-n000004-0000-b60668b151f9cf8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b60668b151f9cf8b8ed0cfbd21ed9d4e10a47a1c268f5b8bb6532518b95c6e2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010868-n000004.json b/manifests/batches/oproofs/s00002-r00010868-n000004.json
index 076d12dac00d0a25d717535b953324308509eb35..36522bbb3d2c658f753acb42dfe902f53f6532da 100644
--- a/manifests/batches/oproofs/s00002-r00010868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010868-n000004",
   "batch_fingerprint": "4c20c7b36aa4ac51cabacf600db3573a08c42f16608cc166e56ed8c62f48bef0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010868-n000004-0000-9abd3b3aa38f4768.parquet",
-      "sha256": "9abd3b3aa38f47680b0899a08e4a2dd8788b3c2ea5936a5ed263c9a9ec1566f3",
-      "bytes": 129273,
-      "rows": 16,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010868-n000004-0000-cbaf0859c4ed17fa.parquet",
-      "sha256": "cbaf0859c4ed17fa6249b0f7400478d8c018d4adce11bf030913b7db31362c22",
-      "bytes": 63459,
-      "rows": 7,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10869",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010869.lean\",\"4954e40e6af6bbf011d5244988355697440ed53464ecbb58852b26f7c02702a7\",0,\"lean_workbook_plus_20176\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010870.lean\",\"d093c16e8e1271ae1fd862c34b34dac04d0a0207986faa571c4255482bee2e9d\",0,\"lean_workbook_plus_68569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010871.lean\",\"6b222fb926d0a91b1cecd3f150ad29a97308ee4b4efb23ba82014c3786493d76\",0,\"lean_workbook_plus_21895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129273,
+      "path": "data/train/p26/oproofs-s00002-r00010868-n000004-0000-9abd3b3aa38f4768.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9abd3b3aa38f47680b0899a08e4a2dd8788b3c2ea5936a5ed263c9a9ec1566f3"
+    },
+    {
+      "bytes": 63459,
+      "path": "data/dev/p26/oproofs-s00002-r00010868-n000004-0000-cbaf0859c4ed17fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cbaf0859c4ed17fa6249b0f7400478d8c018d4adce11bf030913b7db31362c22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010872-n000004.json b/manifests/batches/oproofs/s00002-r00010872-n000004.json
index 372e4016e50c2389c224bae806ff21974a1408f2..e207cf397553fe7c8b5e1bfc207ae725984cdd6b 100644
--- a/manifests/batches/oproofs/s00002-r00010872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010872-n000004",
   "batch_fingerprint": "d18dd29e24a6a2e1f7b870eac377f1499f37131b88ee15cbcbb9835407b6c4e9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010872-n000004-0000-a0217da8c7ffa2b0.parquet",
-      "sha256": "a0217da8c7ffa2b0322d6fc647732cf39f8f210b8aaf810614869f25af585a67",
-      "bytes": 289264,
-      "rows": 9,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010872-n000004-0000-92c316e391b7d0a1.parquet",
-      "sha256": "92c316e391b7d0a1534e90cbb612874f6e9b83349fd6962d3086155a13308f27",
-      "bytes": 46578,
-      "rows": 2,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010873.lean\",\"847904b6c6bda6e54f4e1bbce3bd7c6ef8dc168831016bd4494222fe9e777179\",0,\"lean_workbook_plus_66065\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010874.lean\",\"63ea9d93e8c117f5cbdd4c4faa3203f419aaf44e0ced9aaf203c82520e7658a4\",0,\"lean_workbook_plus_21692\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010875.lean\",\"a8fe64d7b44be464bd22ed9c8794c3895fd4e1cb031bbea739611afdd9637afe\",0,\"probability_white_ball_one_third\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289264,
+      "path": "data/train/p12/oproofs-s00002-r00010872-n000004-0000-a0217da8c7ffa2b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a0217da8c7ffa2b0322d6fc647732cf39f8f210b8aaf810614869f25af585a67"
+    },
+    {
+      "bytes": 46578,
+      "path": "data/internal_test/p12/oproofs-s00002-r00010872-n000004-0000-92c316e391b7d0a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "92c316e391b7d0a1534e90cbb612874f6e9b83349fd6962d3086155a13308f27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010876-n000004.json b/manifests/batches/oproofs/s00002-r00010876-n000004.json
index d96ec770c5181fcf5abb1421c521c93f17857690..6890d4f759e44305e7b848857589f9b8c2156896 100644
--- a/manifests/batches/oproofs/s00002-r00010876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010876-n000004",
   "batch_fingerprint": "58417cfc18b427755f06961d66a33454a4d907417cf6b655533b9cf8505dab7a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010876-n000004-0000-9078bf7d33e754ad.parquet",
-      "sha256": "9078bf7d33e754ad1e8481c06b7053053c3aa77fb934463f068ae5a7abfe7ac4",
-      "bytes": 78990,
-      "rows": 11,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010876-n000004-0000-f78670cf2a950c1c.parquet",
-      "sha256": "f78670cf2a950c1cb1e000321059a7e13bae67e2415024ccafd42b28a4264522",
-      "bytes": 98800,
-      "rows": 3,
-      "revision": "eca7343a656ace722076e469b25c29f82491a9ef"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010877.lean\",\"38af87774b1618b5a4421e6dbf089386b50cd7a3e976d19ba3872a1fc8e1559a\",1,\"remainder_representation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010878.lean\",\"12c77c3a3eb8aaf7893c69f465ea316a49cb4dcfb2a9f06c7d0d5cc0b8382384\",0,\"lean_workbook_plus_46789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010879.lean\",\"380f129f67d042231a0727d882266acef938bf9eca07865780aff31d14c35104\",0,\"lean_workbook_plus_66834\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78990,
+      "path": "data/train/p43/oproofs-s00002-r00010876-n000004-0000-9078bf7d33e754ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "9078bf7d33e754ad1e8481c06b7053053c3aa77fb934463f068ae5a7abfe7ac4"
+    },
+    {
+      "bytes": 98800,
+      "path": "data/internal_test/p43/oproofs-s00002-r00010876-n000004-0000-f78670cf2a950c1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f78670cf2a950c1cb1e000321059a7e13bae67e2415024ccafd42b28a4264522"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010880-n000004.json b/manifests/batches/oproofs/s00002-r00010880-n000004.json
index febd2a85de1dd4b29807b91e34d437c9a8c88ad8..20c5de871bacfd6d8889f3424dd1fd4a659f3b22 100644
--- a/manifests/batches/oproofs/s00002-r00010880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010880-n000004",
   "batch_fingerprint": "9a83fdd9c540737a5874972f4bfa6a48339a7716c8ae544a91362ee631375d06",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010880-n000004-0000-1927d313a7a4ab0a.parquet",
-      "sha256": "1927d313a7a4ab0ae204a1c0cf30431b9fc6351c03ad4315d99e8ea07082e732",
-      "bytes": 257690,
-      "rows": 17,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10881",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010881.lean\",\"402dd829978f97ce8f1dbab9c9a6ae528d9d81b61328501c80951d78e2a4592e\",0,\"lean_workbook_plus_44558\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010882.lean\",\"428bbb24b1bb11f857a2ba6c0ecfcf26b2711106ac8f1eed55fd43e21110984e\",0,\"worker_completion_time\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010883.lean\",\"563ace1e7e168fa7a2a5df9cffdc3e5af5960b9da3fc60d6a58f355a5dffcc6d\",0,\"set_intersection_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257690,
+      "path": "data/train/pb5/oproofs-s00002-r00010880-n000004-0000-1927d313a7a4ab0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1927d313a7a4ab0ae204a1c0cf30431b9fc6351c03ad4315d99e8ea07082e732"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010884-n000004.json b/manifests/batches/oproofs/s00002-r00010884-n000004.json
index eaf5841c3fda21fc812ed6719942dd0fb289da70..17f036e93e047b6f8d0826b5f8f408995982cded 100644
--- a/manifests/batches/oproofs/s00002-r00010884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010884-n000004",
   "batch_fingerprint": "24ea4139f27a61baebb7e8d7088762cbcaf65a6e32602a00e339b1c8389fb498",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010884-n000004-0000-766ace6fa5575f38.parquet",
-      "sha256": "766ace6fa5575f38967e196dac54ee6c73abee2177bcb3f50b51d1eadd5c1c68",
-      "bytes": 137657,
-      "rows": 16,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010884-n000004-0000-5234365567bc000a.parquet",
-      "sha256": "5234365567bc000a0335b6d675fb22766150683aa540c74d514c501a41595313",
-      "bytes": 56602,
-      "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10885",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010885.lean\",\"5caa147a65414dd8603373451fa7813ac80458260412c219af278d6d0ed5113d\",0,\"lean_workbook_plus_54453\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010886.lean\",\"eea562b8827e428c740d1230de9baf4c8b23b0b1174bf67e647418f7d755cb2d\",0,\"lean_workbook_plus_80862\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010887.lean\",\"fa174c55d89eb87a6c65d7df9db8ce372e9cc577b2e1d9ee5b8f8859b75c39cf\",0,\"lean_workbook_plus_59742\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137657,
+      "path": "data/train/p2a/oproofs-s00002-r00010884-n000004-0000-766ace6fa5575f38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "766ace6fa5575f38967e196dac54ee6c73abee2177bcb3f50b51d1eadd5c1c68"
+    },
+    {
+      "bytes": 56602,
+      "path": "data/dev/p2a/oproofs-s00002-r00010884-n000004-0000-5234365567bc000a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5234365567bc000a0335b6d675fb22766150683aa540c74d514c501a41595313"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010888-n000004.json b/manifests/batches/oproofs/s00002-r00010888-n000004.json
index ccd53e8f85eb655cbd05c8413b7514a813d6fab5..d2ae519cddf1f444a893dc832c9669ecde75e40f 100644
--- a/manifests/batches/oproofs/s00002-r00010888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010888-n000004",
   "batch_fingerprint": "50692518dbaf18c62f6af9fdac9adfba026c45bac2df9118ad2b561de3e4b387",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010888-n000004-0000-f65edd9880f1be40.parquet",
-      "sha256": "f65edd9880f1be40f9ac99766c7fbca2698a81ce785474f16547378152f0c027",
-      "bytes": 136313,
-      "rows": 12,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010888-n000004-0000-f721ec851f81606f.parquet",
-      "sha256": "f721ec851f81606f9127b38ef63d0186cfa05b6ebbee08f7d91ba9ded034ed98",
-      "bytes": 60482,
-      "rows": 7,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010889.lean\",\"12f18d931bd107a2a991494f41fae7a03f6144bcd8fcb68322f03abb2e100f2b\",0,\"lean_workbook_plus_21706\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010890.lean\",\"9645cd61826f0c590d9026909a3c3676daef71c3ad875ab03f20295d95f517d6\",0,\"lean_workbook_plus_58778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010891.lean\",\"3459c57aa2c7d4234ef37417fcbd89f4312eed194115cf1d76fc685cf3974402\",0,\"lean_workbook_45240\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136313,
+      "path": "data/train/p5f/oproofs-s00002-r00010888-n000004-0000-f65edd9880f1be40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f65edd9880f1be40f9ac99766c7fbca2698a81ce785474f16547378152f0c027"
+    },
+    {
+      "bytes": 60482,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00010888-n000004-0000-f721ec851f81606f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f721ec851f81606f9127b38ef63d0186cfa05b6ebbee08f7d91ba9ded034ed98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010892-n000004.json b/manifests/batches/oproofs/s00002-r00010892-n000004.json
index 7e84cbacce5129892e7e9806ca94c0eca697675b..65335105c22f37d056a70c243f435b61271a8274 100644
--- a/manifests/batches/oproofs/s00002-r00010892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010892-n000004",
   "batch_fingerprint": "58ad1179ab30b042e54107bec581ec7060324e9f05d90627803831967ee906b6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010892-n000004-0000-d346dccd0eabfe49.parquet",
-      "sha256": "d346dccd0eabfe49c4fb022b747b06d1d88e2bb9e35ddfe9ff815fc322472feb",
-      "bytes": 397901,
-      "rows": 17,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010893.lean\",\"27343da6ac733a45fd30c358b7b5bb841ae4e9f8afe959b12dcbc25d71e3bd81\",0,\"lean_workbook_plus_32067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010894.lean\",\"c1ebc4801cdb3ce554eb404cefdfb44feac11de0f74bd4b6cdfeed671d57b545\",0,\"lean_workbook_30143\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010895.lean\",\"72f28214ae64ec9f6176bd3c962502e0a211115332ae94988a7506931bb4c5d0\",0,\"lean_workbook_plus_13372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397901,
+      "path": "data/train/pb8/oproofs-s00002-r00010892-n000004-0000-d346dccd0eabfe49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d346dccd0eabfe49c4fb022b747b06d1d88e2bb9e35ddfe9ff815fc322472feb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010896-n000004.json b/manifests/batches/oproofs/s00002-r00010896-n000004.json
index d8c95045f0073fdcd9593da22f3188f10a6f4c38..c654a52073841e79e547030d9ecc1273bc90aceb 100644
--- a/manifests/batches/oproofs/s00002-r00010896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010896-n000004",
   "batch_fingerprint": "9ada77e17acba5c9461e8c665ba68227a4d5f9bcbae60ceb64db19aa44641097",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010896-n000004-0000-8a1c83777026ce6f.parquet",
-      "sha256": "8a1c83777026ce6fe6482921badd69427a591135dfa062d484087ba553d03723",
-      "bytes": 113449,
-      "rows": 13,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010896-n000004-0000-f50f853ee6d209ef.parquet",
-      "sha256": "f50f853ee6d209ef9eb338f0ed9e8b875abbdba19944a8b53cc8836609295898",
-      "bytes": 42375,
-      "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10897",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010897.lean\",\"782261566639df2f81165410781219ee885ba42506dcd73c4526e192c1addd2c\",0,\"lean_workbook_14548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010898.lean\",\"ae115a1f08c66ef128280022b334ef72772ca46d9dc3b70ff9e96e4d30331cf2\",0,\"lean_workbook_plus_59922\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010899.lean\",\"af76bba53f199f624dd184461af6ea274892a76c73584df5f3b6c44a06b7996f\",0,\"lean_workbook_plus_77172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113449,
+      "path": "data/train/pec/oproofs-s00002-r00010896-n000004-0000-8a1c83777026ce6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8a1c83777026ce6fe6482921badd69427a591135dfa062d484087ba553d03723"
+    },
+    {
+      "bytes": 42375,
+      "path": "data/dev/pec/oproofs-s00002-r00010896-n000004-0000-f50f853ee6d209ef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f50f853ee6d209ef9eb338f0ed9e8b875abbdba19944a8b53cc8836609295898"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010900-n000004.json b/manifests/batches/oproofs/s00002-r00010900-n000004.json
index 3f1b297d50623322152b2159a28bfdb082c6f55b..67b4013e7efd3b73d137678cdbcee45fcfa37652 100644
--- a/manifests/batches/oproofs/s00002-r00010900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010900-n000004",
   "batch_fingerprint": "35c64d08a60f6334c97b24c40176ab2c8ebc991f3a15726d1dc77aac14140287",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10900",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10901",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10902",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10903"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010900.lean\",\"f84b98a09fcfd440a8ab506cee792d8dde516263d8fe1bf04facea97af678624\",0,\"lean_workbook_plus_63002\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010901.lean\",\"e1d0a34fdaf741159888b62990763f6b2fd26d9e6212096595c179d4d2502b0c\",0,\"lean_workbook_plus_8702\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010902.lean\",\"42fca151bb7a972ec8cb9782cb60ba80594a07f8838f2ca8b20417ba85601279\",0,\"lean_workbook_plus_30472\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010903.lean\",\"75b9d6006b8b9899b01a027a00c4bd490c7ff7814c7e92bb96c331b0ed30eac8\",0,\"lean_workbook_21548\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010900-n000004-0000-fd966086606de14b.parquet",
-      "sha256": "fd966086606de14b351d2c5281515a551e0da6c0580b30b2fd0942e5fd785c43",
       "bytes": 187568,
+      "path": "data/train/pd3/oproofs-s00002-r00010900-n000004-0000-fd966086606de14b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "fd966086606de14b351d2c5281515a551e0da6c0580b30b2fd0942e5fd785c43"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010900-n000004-0000-2cf12d09ef0068f7.parquet",
-      "sha256": "2cf12d09ef0068f7e7620a94102df71870cf0900741cc4e494fd61509c791ce1",
       "bytes": 82690,
+      "path": "data/dev/pd3/oproofs-s00002-r00010900-n000004-0000-2cf12d09ef0068f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "2cf12d09ef0068f7e7620a94102df71870cf0900741cc4e494fd61509c791ce1"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010900-n000004-0000-eafeab8206507e20.parquet",
-      "sha256": "eafeab8206507e20969f5cd4ce223983c7b66b2cc1f6d5bf822a173cb42a9696",
       "bytes": 60899,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00010900-n000004-0000-eafeab8206507e20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "eafeab8206507e20969f5cd4ce223983c7b66b2cc1f6d5bf822a173cb42a9696"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10900",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10901",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10902",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10903"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010900.lean\",\"f84b98a09fcfd440a8ab506cee792d8dde516263d8fe1bf04facea97af678624\",0,\"lean_workbook_plus_63002\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010901.lean\",\"e1d0a34fdaf741159888b62990763f6b2fd26d9e6212096595c179d4d2502b0c\",0,\"lean_workbook_plus_8702\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010902.lean\",\"42fca151bb7a972ec8cb9782cb60ba80594a07f8838f2ca8b20417ba85601279\",0,\"lean_workbook_plus_30472\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010903.lean\",\"75b9d6006b8b9899b01a027a00c4bd490c7ff7814c7e92bb96c331b0ed30eac8\",0,\"lean_workbook_21548\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010904-n000004.json b/manifests/batches/oproofs/s00002-r00010904-n000004.json
index 986f15ab5e5ad7b32d207cdaa83b917dfc8ee78a..031571d281448db478bbf1ca263e31d68a4c0670 100644
--- a/manifests/batches/oproofs/s00002-r00010904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010904-n000004",
   "batch_fingerprint": "dc1df393b9233c1d13f85aab203398dfd433f2cd432100648a086475e12ee4e4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010904-n000004-0000-42189346a73308d0.parquet",
-      "sha256": "42189346a73308d0057abf616dd73087d9d21626d4ca4c86814b6bfe93f7508f",
-      "bytes": 221343,
-      "rows": 10,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010904-n000004-0000-c5b8391f27fd664b.parquet",
-      "sha256": "c5b8391f27fd664bfe1d61abc4648fcf80a340d749f60100d55c7217907d9125",
-      "bytes": 87216,
-      "rows": 8,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010905.lean\",\"62e309d828d4398ae4823caca3d335ba6d4414b8edbdc4d9667f07d39598986b\",0,\"lean_workbook_plus_47236\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010906.lean\",\"feaf601a3dc02103e3ddcf392870a3be3be0b42252e94daa4e0a96c4194432ff\",0,\"lean_workbook_plus_56555\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010907.lean\",\"e0ab8a5bdc9dcfcabdd4b1ac5e94681e8565480e21a0a34475f623af54360c96\",0,\"lean_workbook_plus_40412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221343,
+      "path": "data/train/p62/oproofs-s00002-r00010904-n000004-0000-42189346a73308d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "42189346a73308d0057abf616dd73087d9d21626d4ca4c86814b6bfe93f7508f"
+    },
+    {
+      "bytes": 87216,
+      "path": "data/internal_test/p62/oproofs-s00002-r00010904-n000004-0000-c5b8391f27fd664b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c5b8391f27fd664bfe1d61abc4648fcf80a340d749f60100d55c7217907d9125"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010908-n000004.json b/manifests/batches/oproofs/s00002-r00010908-n000004.json
index 9c353fb753d96e6a4d82717fea8902e2f993d369..562c8472f692de50bf98bf6a84a363d3edb06cd4 100644
--- a/manifests/batches/oproofs/s00002-r00010908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010908-n000004",
   "batch_fingerprint": "f80c28b21cdad0aae15c6eba7a796cb9e2d59f94dbaa7dfc0f53c7648a5808d9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010908-n000004-0000-cca7a0627416f98f.parquet",
-      "sha256": "cca7a0627416f98f17d67928ee6037ec9e2b7898915d3f45736b1a5c6efa55af",
-      "bytes": 215993,
-      "rows": 20,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010909.lean\",\"035153f600bf93e8c9a5ce9ef24b378ab87f258025ba9fa85dd96753c01b19f0\",0,\"lean_workbook_plus_41295\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010910.lean\",\"07d8c5081be7d5b27ddd910ba6e58b7558c96dda33d174f53b1ce4dea1dcb812\",0,\"lean_workbook_plus_34374\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010911.lean\",\"7066e9ae7d30f88350f294e9956b275832874030ebc17de389288cc65c5c5a6a\",0,\"lean_workbook_plus_40208\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215993,
+      "path": "data/train/pc5/oproofs-s00002-r00010908-n000004-0000-cca7a0627416f98f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cca7a0627416f98f17d67928ee6037ec9e2b7898915d3f45736b1a5c6efa55af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010912-n000004.json b/manifests/batches/oproofs/s00002-r00010912-n000004.json
index bc9826711d55801c59cd4fad9819edcc2ea40a93..b6d75a1422a839fc3bd9fd930da0b9242d377689 100644
--- a/manifests/batches/oproofs/s00002-r00010912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010912-n000004",
   "batch_fingerprint": "5c9d56b813d2dc4355aeb7359f71498ad685943432ad05d7fab725c5ba311fc0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010912-n000004-0000-1cf36a9baecf50dc.parquet",
-      "sha256": "1cf36a9baecf50dc5e2d45dbeadb29660d0b2f2e52b0146d5e94bde6e81e2336",
-      "bytes": 275667,
-      "rows": 25,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010913.lean\",\"38aff20af09d3db44bf664f4fe32acf2ba04892645407ed7a84a506c9dc3214c\",0,\"lean_workbook_plus_32450\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010914.lean\",\"8d29d7819a09cc648d8c92f161aa79997afc489a5dd0c71942f412eab27a87b1\",0,\"lean_workbook_25635\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010915.lean\",\"b795f0e8d0a5405b1fa8beac7a4f344e0986fca629190e192d7bb2d338f30f57\",0,\"lean_workbook_plus_39937\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275667,
+      "path": "data/train/p53/oproofs-s00002-r00010912-n000004-0000-1cf36a9baecf50dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1cf36a9baecf50dc5e2d45dbeadb29660d0b2f2e52b0146d5e94bde6e81e2336"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010916-n000004.json b/manifests/batches/oproofs/s00002-r00010916-n000004.json
index a55cb394c3cd32889062ab16ed2802efa2a60b0c..787cdb10f0922cd13a06a3003373624747e1f4bc 100644
--- a/manifests/batches/oproofs/s00002-r00010916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010916-n000004",
   "batch_fingerprint": "5c3ee6db611032f334afa4a2b23f8165a8d5d179d320dd558c99476a82bea68c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010916-n000004-0000-42d1656248ee7310.parquet",
-      "sha256": "42d1656248ee73106ac9cafbc12f3b699639853ec2af47d5fab3241ace786412",
-      "bytes": 93305,
-      "rows": 14,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10917",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010917.lean\",\"b9292aa4352ab867fdec17e6fdc0ccff5110cb61715ee364e510a74943b52954\",0,\"lean_workbook_plus_10768\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010918.lean\",\"a455966a24dbc65e3e0b05dc6ecdbb006df47c219eb47d20d5e42eb3d0cbb212\",0,\"lean_workbook_plus_17093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010919.lean\",\"abddc9b3e050e7e12c29f2eb4163605291eefe46f4e85fad17be2771472dd972\",0,\"exp_func_minimum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93305,
+      "path": "data/train/p46/oproofs-s00002-r00010916-n000004-0000-42d1656248ee7310.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "42d1656248ee73106ac9cafbc12f3b699639853ec2af47d5fab3241ace786412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010920-n000004.json b/manifests/batches/oproofs/s00002-r00010920-n000004.json
index dc2c9376899d71d05a8919db25631f22e9006df3..be88b107a956aff35566ab42516ec9f7a487246d 100644
--- a/manifests/batches/oproofs/s00002-r00010920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010920-n000004",
   "batch_fingerprint": "6ec1ecb5a625e88a202f2da545c7871b500f96a3880f4fad3a20313dcbeb6066",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010920-n000004-0000-a600562b3b0b4e09.parquet",
-      "sha256": "a600562b3b0b4e09c5dccdb2cdf59ff04905b5fe85aad9bbeb0d682692d702df",
-      "bytes": 256631,
-      "rows": 12,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010920-n000004-0000-675a7092d391aa3a.parquet",
-      "sha256": "675a7092d391aa3a6884398303daf5f678fdc9dbfbea272034c5248417ed247e",
-      "bytes": 103410,
-      "rows": 5,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010921.lean\",\"7ee98c59378d8deced4e2a84fb5f08f32053c301020a248c0e16001b5f5baa7d\",0,\"lean_workbook_plus_29701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010922.lean\",\"d97efb25b42b6b50d0ab9d4ac932fb872fdf88dc92d81dea789e6e85dc42cad7\",0,\"lean_workbook_plus_66954\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010923.lean\",\"147f1f4c19e3886a6afca27aeb5453c9e2c204da767cfdecf5c95cbf3d3bccdd\",0,\"lean_workbook_plus_51175\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 256631,
+      "path": "data/train/p45/oproofs-s00002-r00010920-n000004-0000-a600562b3b0b4e09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a600562b3b0b4e09c5dccdb2cdf59ff04905b5fe85aad9bbeb0d682692d702df"
+    },
+    {
+      "bytes": 103410,
+      "path": "data/dev/p45/oproofs-s00002-r00010920-n000004-0000-675a7092d391aa3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "675a7092d391aa3a6884398303daf5f678fdc9dbfbea272034c5248417ed247e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010924-n000004.json b/manifests/batches/oproofs/s00002-r00010924-n000004.json
index f1d3655ebd4f4bece54c14be413b4a6b8d466558..98fc6e94b8ed7db283eec6c95da6d4ec94c14cba 100644
--- a/manifests/batches/oproofs/s00002-r00010924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010924-n000004",
   "batch_fingerprint": "566242d061f3677949dd2376a00bb039156aeb0594f701dfdd658a6e35568884",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010924-n000004-0000-e532e3a0fb6f19a7.parquet",
-      "sha256": "e532e3a0fb6f19a75e2bcf90a05b9385c86499c5cd2845adb554b08aab5778f1",
-      "bytes": 150069,
-      "rows": 17,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010924-n000004-0000-f4d5bb5e2d2462bb.parquet",
-      "sha256": "f4d5bb5e2d2462bb316258b69362e42d1c4bea560b688276e18ef24475489364",
-      "bytes": 121060,
-      "rows": 7,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10925",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010925.lean\",\"3209cb3da0e22b404d100753750fdaf03aee640b92d320322f39689cf89cd601\",0,\"lean_workbook_plus_13284\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010926.lean\",\"162c6d9c746a77285dfa2eba18f9a3e3e8160cd287c1f70e17928fd3ae81c20d\",0,\"lean_workbook_plus_21942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010927.lean\",\"0201c6985c68b3a3f7b1d528133361600647ef4f4dd16dab13fe04ee63638950\",0,\"lean_workbook_plus_65710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150069,
+      "path": "data/train/p2f/oproofs-s00002-r00010924-n000004-0000-e532e3a0fb6f19a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e532e3a0fb6f19a75e2bcf90a05b9385c86499c5cd2845adb554b08aab5778f1"
+    },
+    {
+      "bytes": 121060,
+      "path": "data/dev/p2f/oproofs-s00002-r00010924-n000004-0000-f4d5bb5e2d2462bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f4d5bb5e2d2462bb316258b69362e42d1c4bea560b688276e18ef24475489364"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010928-n000004.json b/manifests/batches/oproofs/s00002-r00010928-n000004.json
index 68a907c49e1730cc41a54cc874caa3cd4fd588e7..e56a97a277c948ccd3107bdbbb7de7f64793c875 100644
--- a/manifests/batches/oproofs/s00002-r00010928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010928-n000004",
   "batch_fingerprint": "57f3482152ad0fa16becae380f6d6dbe4d66defb9dab31ad7eb3bfed9681c572",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010928-n000004-0000-fe20fc581a588237.parquet",
-      "sha256": "fe20fc581a5882372ad34d8692f63412a09c1102b976ea489b2661be9aa6e819",
-      "bytes": 113633,
-      "rows": 7,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010928-n000004-0000-3aa1921aac8445b8.parquet",
-      "sha256": "3aa1921aac8445b8fbf4192d6686f37acda37f622465f0ff5f00585d9e217cee",
-      "bytes": 76626,
-      "rows": 12,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10929",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010929.lean\",\"c0a3b20b5254f47860da60272f14523754bf85c1ca865e78731e897594d36911\",0,\"lean_workbook_plus_55360\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010930.lean\",\"bd47f47d2fc44e673db482c8553f57edbce42e4a934dad7839471cbe1f3632db\",0,\"lean_workbook_26872\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010931.lean\",\"a5e942ba2bdf493ea3b37618a0503ff992f9785fd996f90f35364a08e437dcf8\",0,\"lean_workbook_plus_21895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113633,
+      "path": "data/train/p17/oproofs-s00002-r00010928-n000004-0000-fe20fc581a588237.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fe20fc581a5882372ad34d8692f63412a09c1102b976ea489b2661be9aa6e819"
+    },
+    {
+      "bytes": 76626,
+      "path": "data/dev/p17/oproofs-s00002-r00010928-n000004-0000-3aa1921aac8445b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3aa1921aac8445b8fbf4192d6686f37acda37f622465f0ff5f00585d9e217cee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010932-n000004.json b/manifests/batches/oproofs/s00002-r00010932-n000004.json
index 3b3b888f69aaf6548d90cad3f5b7de74aeb79686..a1cd8f459de8476fe3bd7abf29efdca6496d9544 100644
--- a/manifests/batches/oproofs/s00002-r00010932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010932-n000004",
   "batch_fingerprint": "006c36d7d8cd1d4a18ffab60102d9d801f7fe7362379e1448f7137f9b56a378d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010932-n000004-0000-a4d18faac0b31d99.parquet",
-      "sha256": "a4d18faac0b31d9974e732ef4a5bd86008875901663d677e8447fcbc7bb3dc51",
-      "bytes": 309797,
-      "rows": 21,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010933.lean\",\"152c1f7eb33f7d8827fb3a660456fbc15410591c79e584e579d4cfc7171ca48d\",0,\"lean_workbook_plus_68569\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010934.lean\",\"deea479315f49a2b7201f237d323174c9a836c2ab9e963e5f86df69d3e241cb1\",0,\"lean_workbook_plus_50297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010935.lean\",\"1a44decc99a0b4a787fcd93dfac040ab81fdf57316d744598bdb09ccedba01e2\",0,\"lean_workbook_plus_74667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309797,
+      "path": "data/train/pbd/oproofs-s00002-r00010932-n000004-0000-a4d18faac0b31d99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a4d18faac0b31d9974e732ef4a5bd86008875901663d677e8447fcbc7bb3dc51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010936-n000004.json b/manifests/batches/oproofs/s00002-r00010936-n000004.json
index 52ab9789812cf6fb1cea3e15ad9e59afbdac6254..2518808a33af7aa5e6a2950056a88d5acc70f6f9 100644
--- a/manifests/batches/oproofs/s00002-r00010936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010936-n000004",
   "batch_fingerprint": "e97ae2cdc7ccadeb17165ff10500f7bbad1fb43c7b999141325658afab70f929",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010936-n000004-0000-da74b7403f55a358.parquet",
-      "sha256": "da74b7403f55a358c25b9bc1775410f5ef71f0ffbaa669d8b2ab92c0dd9b6ce7",
-      "bytes": 78218,
-      "rows": 9,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010937.lean\",\"9c15eca65d19148d9871a06554f3190798bdb78b375fd8077ee569db450ba547\",0,\"probability_white_ball_one_third\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010938.lean\",\"253cf72469a32c529ee44154025d593e42648c208d3d91e231f39dd2830fbeab\",0,\"lean_workbook_plus_36322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010939.lean\",\"033fbbad22f8ffed6635758428f88a85af103eda8c6eb6c0de5faed1f64b35bd\",0,\"lean_workbook_plus_46789\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78218,
+      "path": "data/train/p73/oproofs-s00002-r00010936-n000004-0000-da74b7403f55a358.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "da74b7403f55a358c25b9bc1775410f5ef71f0ffbaa669d8b2ab92c0dd9b6ce7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010940-n000004.json b/manifests/batches/oproofs/s00002-r00010940-n000004.json
index f816ee133eaf1857a07c734c9bd0321fea67532f..d07cf8ed66aa1e4029a879be499cb650205cd7a6 100644
--- a/manifests/batches/oproofs/s00002-r00010940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010940-n000004",
   "batch_fingerprint": "da47e44a663124b3758a78c9f4248ce08d0b9a0e404196327573433760fa535a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10940",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10941",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10942",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10943"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010940.lean\",\"22ead9c7142234b03eb4765ab750bee08a9c69ca35a16e03d08b900bd8f80fd6\",0,\"lean_workbook_plus_66834\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010941.lean\",\"ed196819664f8933f5fd79ce891f9675f7ec391e9e4be3a79652deae3dbc7218\",0,\"lean_workbook_plus_44558\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010942.lean\",\"23479d89b0f0725a34f9afb66ed60eb95120b1b8b8f30ddab83948dc98d3bad5\",0,\"worker_completion_time\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010943.lean\",\"92f1cf290ac5cfe59ac047bb29f5c26a250b599a9e458c10b8abc328960b404f\",0,\"lean_workbook_plus_54453\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010940-n000004-0000-68286eae992c8ed9.parquet",
-      "sha256": "68286eae992c8ed93850f378908f80f2794351f604cfa317cde8c43463a1117e",
       "bytes": 56938,
+      "path": "data/train/p16/oproofs-s00002-r00010940-n000004-0000-68286eae992c8ed9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "68286eae992c8ed93850f378908f80f2794351f604cfa317cde8c43463a1117e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010940-n000004-0000-0e30d7bfd30479d3.parquet",
-      "sha256": "0e30d7bfd30479d3b5472e3620446e87415bab7e1f2b23f3c5db91a82592eed8",
       "bytes": 46975,
+      "path": "data/dev/p16/oproofs-s00002-r00010940-n000004-0000-0e30d7bfd30479d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "0e30d7bfd30479d3b5472e3620446e87415bab7e1f2b23f3c5db91a82592eed8"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010940-n000004-0000-edc6aa168382aefa.parquet",
-      "sha256": "edc6aa168382aefaae771939710df669b468bb322ad319e3cd69ef68f62f450a",
       "bytes": 78340,
+      "path": "data/internal_test/p16/oproofs-s00002-r00010940-n000004-0000-edc6aa168382aefa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "edc6aa168382aefaae771939710df669b468bb322ad319e3cd69ef68f62f450a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10940",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10941",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10942",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10943"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010940.lean\",\"22ead9c7142234b03eb4765ab750bee08a9c69ca35a16e03d08b900bd8f80fd6\",0,\"lean_workbook_plus_66834\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010941.lean\",\"ed196819664f8933f5fd79ce891f9675f7ec391e9e4be3a79652deae3dbc7218\",0,\"lean_workbook_plus_44558\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010942.lean\",\"23479d89b0f0725a34f9afb66ed60eb95120b1b8b8f30ddab83948dc98d3bad5\",0,\"worker_completion_time\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010943.lean\",\"92f1cf290ac5cfe59ac047bb29f5c26a250b599a9e458c10b8abc328960b404f\",0,\"lean_workbook_plus_54453\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010944-n000004.json b/manifests/batches/oproofs/s00002-r00010944-n000004.json
index 66b72b37c8e886e623d2f15a5650e6a5507039f8..a94b4a1b425bae07a3d1881cfc88ba4e3625b233 100644
--- a/manifests/batches/oproofs/s00002-r00010944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010944-n000004",
   "batch_fingerprint": "daff614754c7cff8949d40d47b40fb185f461a5c197c1732fc8a42b80de453f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010944-n000004-0000-6521a520a015f710.parquet",
-      "sha256": "6521a520a015f710d81dfaa2f10fd0d894dcbe563ee2b484497eb5d145708574",
-      "bytes": 206174,
-      "rows": 18,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010945.lean\",\"575a07c043b956e28cf3ba18043686bd7a497b550857e5a0748108aba19ba34a\",0,\"lean_workbook_plus_80862\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010946.lean\",\"a14f6417476ff403748875e655f0e41697e964cf1833298da14f00f846375785\",0,\"lean_workbook_plus_46174\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010947.lean\",\"bcaff805dc69d3134c1698c97acc2f6738b944a7cc88db3ac9ef256646958594\",0,\"lean_workbook_plus_21706\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206174,
+      "path": "data/train/pb2/oproofs-s00002-r00010944-n000004-0000-6521a520a015f710.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "6521a520a015f710d81dfaa2f10fd0d894dcbe563ee2b484497eb5d145708574"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010948-n000004.json b/manifests/batches/oproofs/s00002-r00010948-n000004.json
index b520ad7346585e1418bcec170595f32ef2b9e3ff..bc779f27f1be054ff7dcfc31f02ae6b2b02089f7 100644
--- a/manifests/batches/oproofs/s00002-r00010948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010948-n000004",
   "batch_fingerprint": "d655219a28f9fa566ae62c249175882398af79075570614c09087c31ea2d8fff",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010948-n000004-0000-e531803906f5768a.parquet",
-      "sha256": "e531803906f5768a5d27773d40c2dd5dc3e215d285dd0a6437fdcf68a36d49fe",
-      "bytes": 125090,
-      "rows": 8,
-      "revision": "1efb0af5bb5d5a2635e41901624412697f8dcc19"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010948-n000004-0000-9033e916a23e494f.parquet",
-      "sha256": "9033e916a23e494ffd89e72c3fcb2a471667a2281061c60a6e647c4074a4f915",
-      "bytes": 67222,
-      "rows": 7,
-      "revision": "1efb0af5bb5d5a2635e41901624412697f8dcc19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10949",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010948.lean\",\"9389ba8ef34d37e71865971c7a30f1e98479ef499e6fcfd56d5c7cee932768ea\",0,\"lean_workbook_plus_58778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010949.lean\",\"ee905bb63cf23c6716192cb4c27b4377959e764bc322c7f678f0509469dc9b19\",0,\"lean_workbook_45240\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010950.lean\",\"19b4acb3623f0e61f25403561818861a09fd8e15fd2fbe305b4a15ccaebc0a2c\",0,\"lean_workbook_plus_29810\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 125090,
+      "path": "data/train/p19/oproofs-s00002-r00010948-n000004-0000-e531803906f5768a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e531803906f5768a5d27773d40c2dd5dc3e215d285dd0a6437fdcf68a36d49fe"
+    },
+    {
+      "bytes": 67222,
+      "path": "data/internal_test/p19/oproofs-s00002-r00010948-n000004-0000-9033e916a23e494f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9033e916a23e494ffd89e72c3fcb2a471667a2281061c60a6e647c4074a4f915"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010952-n000004.json b/manifests/batches/oproofs/s00002-r00010952-n000004.json
index 9fbd47af2036dc8fd003a486f54ea07695dd24be..211ac854909070584b427a38c570333de7bb78c6 100644
--- a/manifests/batches/oproofs/s00002-r00010952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010952-n000004",
   "batch_fingerprint": "45b3b01272f4cfe606fa34d7d1236a457bd428535827726b754736a211c74c25",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010952-n000004-0000-ead5214561dace12.parquet",
-      "sha256": "ead5214561dace127224a8a5e51145225656ffc0be906c6b08881589b2d053da",
-      "bytes": 365873,
-      "rows": 18,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010953.lean\",\"ba43b57cf91fa84936a489094c6cf3d34cb116f8403ce18b892b465adc10f71c\",0,\"lean_workbook_plus_71362\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010954.lean\",\"3346753e2fd96ff15c269f31270dbf9489b276ef809f7b15abd4e4e5c6f2a8f0\",0,\"lean_workbook_plus_12134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010955.lean\",\"2595e3501e0f35cd529ed5138d91abb008a439c176494acead4181b727a34806\",0,\"lean_workbook_plus_32067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365873,
+      "path": "data/train/pe2/oproofs-s00002-r00010952-n000004-0000-ead5214561dace12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ead5214561dace127224a8a5e51145225656ffc0be906c6b08881589b2d053da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010956-n000004.json b/manifests/batches/oproofs/s00002-r00010956-n000004.json
index 34d7f10caf38c7418bf197d81ccdba1bd171141a..ce08fdcf9f5974ebda450632ad24d0607568fbfe 100644
--- a/manifests/batches/oproofs/s00002-r00010956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010956-n000004",
   "batch_fingerprint": "763a050626fe10b730a49c3010335629a756db9dded13479688860bf43a85b71",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010956-n000004-0000-09f77ae46d5f8b53.parquet",
-      "sha256": "09f77ae46d5f8b53ad04eaf919a4ee3f7cfd9f9a99877e21b25a649c33426fab",
-      "bytes": 131851,
-      "rows": 10,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010956-n000004-0000-48ae4bd5bc0cb0d3.parquet",
-      "sha256": "48ae4bd5bc0cb0d33ed1cab1fd07a3e135221c1ab9c5ff7ec63a198c036b6d01",
-      "bytes": 42556,
-      "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010957.lean\",\"f2dacf8dd29ebd3724c370d95813248341ad31cfa5c9f0b6a2d7b35a0df41887\",0,\"sum_of_divisors_29\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010958.lean\",\"1cb090f329916bb1d178768276abaadf3831c03f71dcf1a639af74d4adae175f\",0,\"lean_workbook_14548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010959.lean\",\"cd98ca37be850e22c1910e527a5d6863316f19e03ffb18c8c54ee63917838fe1\",0,\"lean_workbook_plus_13372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 131851,
+      "path": "data/train/p91/oproofs-s00002-r00010956-n000004-0000-09f77ae46d5f8b53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "09f77ae46d5f8b53ad04eaf919a4ee3f7cfd9f9a99877e21b25a649c33426fab"
+    },
+    {
+      "bytes": 42556,
+      "path": "data/dev/p91/oproofs-s00002-r00010956-n000004-0000-48ae4bd5bc0cb0d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "48ae4bd5bc0cb0d33ed1cab1fd07a3e135221c1ab9c5ff7ec63a198c036b6d01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010960-n000004.json b/manifests/batches/oproofs/s00002-r00010960-n000004.json
index 9ec59f29d1c656bb2d02ef895aa8c0abfa7bbed2..4c608bffbd967149c62943c618d67aa3832038da 100644
--- a/manifests/batches/oproofs/s00002-r00010960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010960-n000004",
   "batch_fingerprint": "c86db4df276de18a096a054d3869aaee254020198a848bf9a9ea17e9c44f2f27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010960-n000004-0000-fdfbcf30bc06ccb8.parquet",
-      "sha256": "fdfbcf30bc06ccb84750622e630c1be4750473ee2b082f739bb5c3ad8d0c2824",
-      "bytes": 218036,
-      "rows": 18,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010960-n000004-0000-018a5b0273bf39b5.parquet",
-      "sha256": "018a5b0273bf39b5f94214113819118f9299af6ce8a8bba841dadbb3787d4ea3",
-      "bytes": 75255,
-      "rows": 5,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010961.lean\",\"aada8f6fc81e1c0dc2daf861d6946d160a9e3733a4eb8a2675df0b8195565898\",0,\"lean_workbook_plus_77172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010962.lean\",\"ded29e14af7f79cf5740a844a561dc16863b238dc8c7367645fbbf9cc89a3629\",0,\"lean_workbook_30143\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010963.lean\",\"691ce2da095f1056beb87242a39c0adbc8099e983d563859c8687b3c79e28812\",0,\"lean_workbook_plus_63002\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 218036,
+      "path": "data/train/p7b/oproofs-s00002-r00010960-n000004-0000-fdfbcf30bc06ccb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "fdfbcf30bc06ccb84750622e630c1be4750473ee2b082f739bb5c3ad8d0c2824"
+    },
+    {
+      "bytes": 75255,
+      "path": "data/internal_test/p7b/oproofs-s00002-r00010960-n000004-0000-018a5b0273bf39b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "018a5b0273bf39b5f94214113819118f9299af6ce8a8bba841dadbb3787d4ea3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010964-n000004.json b/manifests/batches/oproofs/s00002-r00010964-n000004.json
index f48e5da45e4dd4f6bc1bf792b550bda9cd5a425e..463bfa2619a41b21dd1c8cc935d800e80d3b9a70 100644
--- a/manifests/batches/oproofs/s00002-r00010964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010964-n000004",
   "batch_fingerprint": "c087b1f8f22d1c6a0b642c3ea0edb31c13f36bf13f0fcb4023b37b697b19c944",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010964-n000004-0000-f49e8113913ce0f3.parquet",
-      "sha256": "f49e8113913ce0f37c472bb1e9cd2f846e1418cad7889bede4e1f14de6e598da",
-      "bytes": 137794,
-      "rows": 14,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010964-n000004-0000-7f6ad5b407d18754.parquet",
-      "sha256": "7f6ad5b407d187549538c4b864dafb4d9627d5a543db3a3d8e54ba5a8bf77a51",
-      "bytes": 80634,
-      "rows": 5,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010965.lean\",\"90f7853adb48b5f9de270fd6a28776b1ae51510096550481de0111388e60adf3\",0,\"lean_workbook_plus_32725\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010966.lean\",\"0b3d0997aaa620d4d2da4b9d4ab2d400ba1ecff9669b30c5f19b1456559ee327\",0,\"lean_workbook_21548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010967.lean\",\"c658190db5de2d5d34363fa021d41b62bd014dd5ee0c73754d55278c96975859\",0,\"lean_workbook_plus_18704\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137794,
+      "path": "data/train/p80/oproofs-s00002-r00010964-n000004-0000-f49e8113913ce0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f49e8113913ce0f37c472bb1e9cd2f846e1418cad7889bede4e1f14de6e598da"
+    },
+    {
+      "bytes": 80634,
+      "path": "data/dev/p80/oproofs-s00002-r00010964-n000004-0000-7f6ad5b407d18754.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7f6ad5b407d187549538c4b864dafb4d9627d5a543db3a3d8e54ba5a8bf77a51"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010968-n000004.json b/manifests/batches/oproofs/s00002-r00010968-n000004.json
index 1dfd3c1065c26eadf4b8e389261160f246bfc785..b167bcd43873db32aac770c1b04959ea89456e33 100644
--- a/manifests/batches/oproofs/s00002-r00010968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010968-n000004",
   "batch_fingerprint": "81eb71c730310f1b103f3aec3b4818a8e0e12732fade0678be6cf079581d82f5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010968-n000004-0000-4ef9c790fe75eb81.parquet",
-      "sha256": "4ef9c790fe75eb819e2d0b9807536664509d791568b869fdc417e210b13547bb",
-      "bytes": 104380,
-      "rows": 10,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010968-n000004-0000-d6694828342c66d1.parquet",
-      "sha256": "d6694828342c66d17e6ebe1c9b579c26de273ecb9016ab6939d0e893d5e81dc0",
-      "bytes": 75880,
-      "rows": 4,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010969.lean\",\"3e293ee1aee57353d2bc414fec139ff48c3a54ae209b4d35c0999689a58958ab\",0,\"lean_workbook_plus_50676\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010970.lean\",\"9d7312c69b6c36107c05db1f5fb279bf7a527c2f54be4b2242b74b239485f0f6\",0,\"lean_workbook_plus_25169\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010971.lean\",\"4e54b4643dfc011d9d54c54d15657690796d25c47526103106a1d900c8035229\",0,\"lean_workbook_plus_40412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104380,
+      "path": "data/train/p07/oproofs-s00002-r00010968-n000004-0000-4ef9c790fe75eb81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4ef9c790fe75eb819e2d0b9807536664509d791568b869fdc417e210b13547bb"
+    },
+    {
+      "bytes": 75880,
+      "path": "data/internal_test/p07/oproofs-s00002-r00010968-n000004-0000-d6694828342c66d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d6694828342c66d17e6ebe1c9b579c26de273ecb9016ab6939d0e893d5e81dc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010972-n000004.json b/manifests/batches/oproofs/s00002-r00010972-n000004.json
index 6829abc28870873fed1cf1dce5e665661ad90a41..4d82520bf4059f9b22f87c128316a1f2e1eebc57 100644
--- a/manifests/batches/oproofs/s00002-r00010972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010972-n000004",
   "batch_fingerprint": "defb8096b0e65112501179089b91e334a064023d1b18837262640e90c4314b77",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010972-n000004-0000-755e2229f528576f.parquet",
-      "sha256": "755e2229f528576f51ffba9c485f135f25a820c19e57487b6b0baa4fea3b62a7",
-      "bytes": 1193743,
-      "rows": 16,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010973.lean\",\"6c39f4e2bb3789430a48a0af31a89ff178edc199d6d07fc04d208475e41b0936\",0,\"quadratic_inequality_optimal_constant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010974.lean\",\"cad76c209ccdcd206c6ad42b0a314f187e6913f6b0c4cb01dfc92929161b5e3a\",0,\"lean_workbook_plus_41239\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010975.lean\",\"bf4e759b222f26dd6b76da3d87ad0b3e58f8d641dd99705540c2e63d7e3ad465\",0,\"lean_workbook_plus_17892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1193743,
+      "path": "data/train/pe1/oproofs-s00002-r00010972-n000004-0000-755e2229f528576f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "755e2229f528576f51ffba9c485f135f25a820c19e57487b6b0baa4fea3b62a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010976-n000004.json b/manifests/batches/oproofs/s00002-r00010976-n000004.json
index 9419b2d7a27a0a363d7cbd5dfe4eaacfeb1394bc..a00c164106aedd14784d8a358783b77882616d56 100644
--- a/manifests/batches/oproofs/s00002-r00010976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010976-n000004",
   "batch_fingerprint": "7592f9879126f39b345231c41972be92fd4bd29f0906a9a2f532f73914127b16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010976-n000004-0000-4ed8dd49cf5b5a6b.parquet",
-      "sha256": "4ed8dd49cf5b5a6bc4d0edaf044f07f68d3d0cfbc628259cf0b7826d51aeacf4",
-      "bytes": 139259,
-      "rows": 14,
-      "revision": "1efb0af5bb5d5a2635e41901624412697f8dcc19"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010976-n000004-0000-caf8947ca568f52b.parquet",
-      "sha256": "caf8947ca568f52bed145d4f7030c1d45898dd66ada427fd4c6df8b7226ba988",
-      "bytes": 519054,
-      "rows": 20,
-      "revision": "1efb0af5bb5d5a2635e41901624412697f8dcc19"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10977",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010977.lean\",\"69b1a85505166340bca8de7ff993a68429f067a3b0ee650cd86cb6ec14fb3981\",0,\"lean_workbook_plus_40208\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010978.lean\",\"6dbc87688410e102fb082c2ee4eedb49574c4219d5ffaaf4dd6e62b37ec4b778\",0,\"lean_workbook_plus_66136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010979.lean\",\"aee70bf50e9b385c0fa9672fb49606cdf880fdbc166830ae339003714e618f50\",0,\"lean_workbook_44106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139259,
+      "path": "data/train/p02/oproofs-s00002-r00010976-n000004-0000-4ed8dd49cf5b5a6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "4ed8dd49cf5b5a6bc4d0edaf044f07f68d3d0cfbc628259cf0b7826d51aeacf4"
+    },
+    {
+      "bytes": 519054,
+      "path": "data/dev/p02/oproofs-s00002-r00010976-n000004-0000-caf8947ca568f52b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "caf8947ca568f52bed145d4f7030c1d45898dd66ada427fd4c6df8b7226ba988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010980-n000004.json b/manifests/batches/oproofs/s00002-r00010980-n000004.json
index 8526e252b33675fe227c6f2daea9a18b0cb82a2d..37538f2c2b8c5fbd7af23d0bff63c79ae1eab9ed 100644
--- a/manifests/batches/oproofs/s00002-r00010980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010980-n000004",
   "batch_fingerprint": "33d43961353905f08ccf6b92f0f1bd78f2768be1929f5c70e8cdd257abed081e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10980",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10981",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10982",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10983"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010980.lean\",\"59b39ac49806cd6703a98d442c8b8814a9e29960c04c130e39345978c14192d5\",0,\"lean_workbook_43383\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010981.lean\",\"cacf5a5db6647c7312603a1244aaca0f0475cd31970d54d2bc585696f101ddfa\",0,\"lean_workbook_plus_57624\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010982.lean\",\"9797ce901f39577f129cf5e2ac375c33f46c776f24d9cb3f51e59a023ef0e6ec\",0,\"lean_workbook_40689\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010983.lean\",\"993e070b69dd59e4356a82c90da842c99167f8ebe8df113f0bd10f900cafc291\",0,\"lean_workbook_45355\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00010980-n000004-0000-3488e79546f48d53.parquet",
-      "sha256": "3488e79546f48d53677707d553676badc01c1861cfcb5993fc0c54764c2ebe95",
       "bytes": 90116,
+      "path": "data/train/pda/oproofs-s00002-r00010980-n000004-0000-3488e79546f48d53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "3488e79546f48d53677707d553676badc01c1861cfcb5993fc0c54764c2ebe95"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00010980-n000004-0000-566d4ec5d8695708.parquet",
-      "sha256": "566d4ec5d8695708fd6a18540728fe0daa974c974a41592d5668298833bf12a0",
       "bytes": 66619,
+      "path": "data/dev/pda/oproofs-s00002-r00010980-n000004-0000-566d4ec5d8695708.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "566d4ec5d8695708fd6a18540728fe0daa974c974a41592d5668298833bf12a0"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00010980-n000004-0000-b5df2cd54e2a24ba.parquet",
-      "sha256": "b5df2cd54e2a24bae5f1f71d379f95ed894936abb71e3d0551379b5c4ff76d27",
       "bytes": 63269,
+      "path": "data/internal_test/pda/oproofs-s00002-r00010980-n000004-0000-b5df2cd54e2a24ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
+      "sha256": "b5df2cd54e2a24bae5f1f71d379f95ed894936abb71e3d0551379b5c4ff76d27"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10980",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10981",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10982",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10983"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010980.lean\",\"59b39ac49806cd6703a98d442c8b8814a9e29960c04c130e39345978c14192d5\",0,\"lean_workbook_43383\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010981.lean\",\"cacf5a5db6647c7312603a1244aaca0f0475cd31970d54d2bc585696f101ddfa\",0,\"lean_workbook_plus_57624\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010982.lean\",\"9797ce901f39577f129cf5e2ac375c33f46c776f24d9cb3f51e59a023ef0e6ec\",0,\"lean_workbook_40689\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010983.lean\",\"993e070b69dd59e4356a82c90da842c99167f8ebe8df113f0bd10f900cafc291\",0,\"lean_workbook_45355\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010984-n000004.json b/manifests/batches/oproofs/s00002-r00010984-n000004.json
index bf80fa589ad8832f98fef239ba04f638b47c4221..27cbf7562f2a0fb739b88642b013b5014e47d9d6 100644
--- a/manifests/batches/oproofs/s00002-r00010984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010984-n000004",
   "batch_fingerprint": "7b22a359db5ca7e7133d1635f8333c3d3c767508a617a0d18213ec23756ac7f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010984-n000004-0000-749dffe290a36c15.parquet",
-      "sha256": "749dffe290a36c1567010aaf6cbcccaabefb26b59d8e807c9a600a5b62e2ab27",
-      "bytes": 104384,
-      "rows": 13,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010984-n000004-0000-2343205305a004da.parquet",
-      "sha256": "2343205305a004dadb5fc3a86261c07df421828a6643ad9e82ae092b48f6ef99",
-      "bytes": 152693,
-      "rows": 5,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10985",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010985.lean\",\"a6f2136a0da7e61e60bc74f1dce708b93bc5d28d444c81356462406a0206824c\",0,\"lean_workbook_plus_78524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010986.lean\",\"248ef70a1debff183be6373aa5c4d576a4351bf58e35f429c781ea0bd4546d19\",0,\"lean_workbook_plus_51909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010987.lean\",\"84e57e5034b88d94f85951b6756f20d435a9b068a349301302dabaaff2d0553a\",0,\"lean_workbook_plus_28142\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104384,
+      "path": "data/train/pb3/oproofs-s00002-r00010984-n000004-0000-749dffe290a36c15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "749dffe290a36c1567010aaf6cbcccaabefb26b59d8e807c9a600a5b62e2ab27"
+    },
+    {
+      "bytes": 152693,
+      "path": "data/internal_test/pb3/oproofs-s00002-r00010984-n000004-0000-2343205305a004da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2343205305a004dadb5fc3a86261c07df421828a6643ad9e82ae092b48f6ef99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010988-n000004.json b/manifests/batches/oproofs/s00002-r00010988-n000004.json
index 20e3503e5e204c6209fcce1bd3bc16c7bd95593a..3b3e7c2ef7155d1df4edfac194e4b93b3d5a0ca0 100644
--- a/manifests/batches/oproofs/s00002-r00010988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010988-n000004",
   "batch_fingerprint": "6b0dc388bea24697ba7889b17304ad48e35337c044858a4e4814ab8db47f8f4e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010988-n000004-0000-d98c302c0f7aa451.parquet",
-      "sha256": "d98c302c0f7aa4516b3fe57d6e1cd09234643ba0db605a5138f3e3832e7ea77b",
-      "bytes": 186274,
-      "rows": 13,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010988-n000004-0000-011934384276f47b.parquet",
-      "sha256": "011934384276f47b7c25c9a21d644b357c55feadfc2149c6d145c0da89c47a4a",
-      "bytes": 516430,
-      "rows": 2,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010989.lean\",\"632dd53696c84563d973f87e8fd40a692177b2973e7e496545b24acdd4149d2c\",0,\"lean_workbook_plus_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010990.lean\",\"c640afdbc16c98cc951345fbc4fe397e861862c8ae3d3bd022e4f87af9fb71fb\",0,\"lean_workbook_20990\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010991.lean\",\"17454e2a67cf4d1dbc8e4726dd5c712c76d1ce92cc602c852c0ec1763db2f7f4\",0,\"lean_workbook_plus_63068\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186274,
+      "path": "data/train/p0f/oproofs-s00002-r00010988-n000004-0000-d98c302c0f7aa451.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d98c302c0f7aa4516b3fe57d6e1cd09234643ba0db605a5138f3e3832e7ea77b"
+    },
+    {
+      "bytes": 516430,
+      "path": "data/internal_test/p0f/oproofs-s00002-r00010988-n000004-0000-011934384276f47b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "011934384276f47b7c25c9a21d644b357c55feadfc2149c6d145c0da89c47a4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010992-n000004.json b/manifests/batches/oproofs/s00002-r00010992-n000004.json
index c18c4efcfdaab44b7f109cfadc3053788df2490c..cc6ce1ef86f8e7cead874def5a2902ee7ae972d8 100644
--- a/manifests/batches/oproofs/s00002-r00010992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010992-n000004",
   "batch_fingerprint": "72b310912586a6bf3d13a08c607516fb68a7f12dbd59ddb7b7b444cd3d659b47",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010992-n000004-0000-86393b08e338a8e4.parquet",
-      "sha256": "86393b08e338a8e45c3fafcf0676905c07d91d5f20dcfc4f185291785bdb69a5",
-      "bytes": 472172,
-      "rows": 20,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00010992-n000004-0000-bfd8761382ca7852.parquet",
-      "sha256": "bfd8761382ca7852dccd05804159e47ff5be97b758a2570614dec9515ae92b13",
-      "bytes": 99521,
-      "rows": 3,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10993",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010993.lean\",\"b8f3f1d3e8ecd0799dd4117aeafe56ddd8cc348e5cb6f564c952951616488879\",0,\"lean_workbook_plus_54775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010994.lean\",\"99a869a8e15fbfc9c61dec94fc5427f67d30d9e728fc028c4c98c1a826c3ab41\",0,\"lean_workbook_plus_59762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010995.lean\",\"76ed1aa3ca57a22cbd44c7d14999882ff3ee0e79769f904bc24174db8b620155\",0,\"lean_workbook_plus_47062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 472172,
+      "path": "data/train/p81/oproofs-s00002-r00010992-n000004-0000-86393b08e338a8e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "86393b08e338a8e45c3fafcf0676905c07d91d5f20dcfc4f185291785bdb69a5"
+    },
+    {
+      "bytes": 99521,
+      "path": "data/dev/p81/oproofs-s00002-r00010992-n000004-0000-bfd8761382ca7852.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bfd8761382ca7852dccd05804159e47ff5be97b758a2570614dec9515ae92b13"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00010996-n000004.json b/manifests/batches/oproofs/s00002-r00010996-n000004.json
index a6f0b619f3096a2a4769c191621662dadb5d5db8..23721c1bdd3cb202e977b47ab79382abff40255b 100644
--- a/manifests/batches/oproofs/s00002-r00010996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00010996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00010996-n000004",
   "batch_fingerprint": "7b54afbe7aff8019a4b25b67dd0256e3b5540c74f191cadd603f34332d3af7ef",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00010996-n000004-0000-dc75d0bb4bb78747.parquet",
-      "sha256": "dc75d0bb4bb78747634517ea9df36e236499b1bce62c68134c0dab31f20a124e",
-      "bytes": 191421,
-      "rows": 15,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00010996-n000004-0000-b2911321832f2db5.parquet",
-      "sha256": "b2911321832f2db534055345e907605d1cd866fed0adf2508c042c9808070e40",
-      "bytes": 61840,
-      "rows": 7,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:10997",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010997.lean\",\"fc83bd0accdd6e3d7f63eb509695f56cdb0a18ad7c529fa9c5714bb26aedf830\",0,\"lean_workbook_plus_33737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010998.lean\",\"761953b76b95a99d2d85dc5268d7dd77ccce4c54474657a34b34380301ab1a8b\",0,\"lean_workbook_plus_43686\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_010999.lean\",\"32f731d33c50529d4f4f8479c7485d97c46c75e73d7e1bae35bee5e2f07352f6\",0,\"button_probability_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191421,
+      "path": "data/train/p91/oproofs-s00002-r00010996-n000004-0000-dc75d0bb4bb78747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "dc75d0bb4bb78747634517ea9df36e236499b1bce62c68134c0dab31f20a124e"
+    },
+    {
+      "bytes": 61840,
+      "path": "data/internal_test/p91/oproofs-s00002-r00010996-n000004-0000-b2911321832f2db5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b2911321832f2db534055345e907605d1cd866fed0adf2508c042c9808070e40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011000-n000004.json b/manifests/batches/oproofs/s00002-r00011000-n000004.json
index ed1152ff741b67ce628a2d553afb8a01d74d74ba..1dfa5d8b66f566eb595bd8308112910b3248f10a 100644
--- a/manifests/batches/oproofs/s00002-r00011000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011000-n000004",
   "batch_fingerprint": "bbe4bbab81bacd59b99884586081ec6aa276359530b66a2e9ecbcc93a8194dbc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011000-n000004-0000-a26fba24803d1dd7.parquet",
-      "sha256": "a26fba24803d1dd753b3d9ecf6a87b500e17b7c2a049979272182988d13e05d3",
-      "bytes": 88162,
-      "rows": 11,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011000-n000004-0000-8af6dd830f82559b.parquet",
-      "sha256": "8af6dd830f82559bc3443c2abf4947f577d88d7440334e3278d7a04d97401509",
-      "bytes": 218140,
-      "rows": 11,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11001",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011001.lean\",\"7deea3e391805827d571c6c0807300071adf4b03972c5e3be976af2d348bb212\",0,\"lean_workbook_56958\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011002.lean\",\"fd8aa22549c9f8dc01b7f672e55a63e472be1c88ab9d03e83a791cd062d48b0b\",0,\"lean_workbook_46253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011003.lean\",\"a5bb4fcc54c3f49c20fc742422f88cfa8d9bb2d98f4c2043a4e7e63e93bd4d2d\",0,\"lean_workbook_plus_55552\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88162,
+      "path": "data/train/p6b/oproofs-s00002-r00011000-n000004-0000-a26fba24803d1dd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a26fba24803d1dd753b3d9ecf6a87b500e17b7c2a049979272182988d13e05d3"
+    },
+    {
+      "bytes": 218140,
+      "path": "data/dev/p6b/oproofs-s00002-r00011000-n000004-0000-8af6dd830f82559b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8af6dd830f82559bc3443c2abf4947f577d88d7440334e3278d7a04d97401509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011004-n000004.json b/manifests/batches/oproofs/s00002-r00011004-n000004.json
index 47b758805a0a8e94bf02ac05770749968eaaa7a6..08e5c6672941a410df8d396ebac19e1b75810f50 100644
--- a/manifests/batches/oproofs/s00002-r00011004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011004-n000004",
   "batch_fingerprint": "705a8e5155b823f60094c0bba44e3fdafdd827bdce192c4a6acab9568e9e873f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011004-n000004-0000-eb8535c0369f5d45.parquet",
-      "sha256": "eb8535c0369f5d451a66a38f96540d5640463f69230cff31d1276737a9672393",
-      "bytes": 304704,
-      "rows": 17,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011004-n000004-0000-e282d304c7de8eed.parquet",
-      "sha256": "e282d304c7de8eedf226d9c1c57f3f9d33dd25b263eafce80301dfab0089d412",
-      "bytes": 133400,
-      "rows": 6,
-      "revision": "6223018410d4f3e794670670ffce936bf335e18e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011005.lean\",\"4868cabc2f84b7175e6fe7aaf4ad981d157e0e7b7463e8e8b5a8b97f1e84a7a4\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011006.lean\",\"45cb086bf27e4e9e44d0f77c9787bbae9c6a6491e81389b3aef5d6152a9ae90d\",0,\"lean_workbook_plus_31117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011007.lean\",\"8ba96c8a4a0fda059a2d36fc44dfd3b9adc53243a2c7debb26fb59c666e033d4\",0,\"lean_workbook_31470\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304704,
+      "path": "data/train/pc4/oproofs-s00002-r00011004-n000004-0000-eb8535c0369f5d45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "eb8535c0369f5d451a66a38f96540d5640463f69230cff31d1276737a9672393"
+    },
+    {
+      "bytes": 133400,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00011004-n000004-0000-e282d304c7de8eed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e282d304c7de8eedf226d9c1c57f3f9d33dd25b263eafce80301dfab0089d412"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011008-n000004.json b/manifests/batches/oproofs/s00002-r00011008-n000004.json
index dab439cc7d6ae80c31acf8c34eb22853947ef3dd..77e49145cd1e5b0174664a70161810f12dbdf234 100644
--- a/manifests/batches/oproofs/s00002-r00011008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011008-n000004",
   "batch_fingerprint": "dd280104f21a4b236f2935dacb7fa3b30e0c1e8559ceab8bba4b7c76ef3cd37c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011008-n000004-0000-fc6c3ceb3a1819d5.parquet",
-      "sha256": "fc6c3ceb3a1819d5fd7122885ea82a2a7b45b8b5969d9194356709fcd599f6cd",
-      "bytes": 322656,
-      "rows": 14,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11009",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011009.lean\",\"26739a13f65f6898d2d2147081e15ba6d1745393bd074ff404f93678f37be2a0\",0,\"lean_workbook_plus_31906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011010.lean\",\"d5a0e2b4f4818e3d4e122dd020aa8ad960396116544b3a229bfc8d07a2c8c2c8\",0,\"lean_workbook_plus_40153\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011011.lean\",\"656ce911e43dff559ff41876fdf56d833dae48f238a5399fa3ae9dde241ebcc4\",0,\"positive\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322656,
+      "path": "data/train/pc4/oproofs-s00002-r00011008-n000004-0000-fc6c3ceb3a1819d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fc6c3ceb3a1819d5fd7122885ea82a2a7b45b8b5969d9194356709fcd599f6cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011012-n000004.json b/manifests/batches/oproofs/s00002-r00011012-n000004.json
index e8abdd05e1b43c84c8720499cf95aa352b24436d..cfe887cdc8f36018731a430b21b3c9755f4abbf5 100644
--- a/manifests/batches/oproofs/s00002-r00011012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011012-n000004",
   "batch_fingerprint": "f9098d0dd7753cadbe74ce3c7239a66eeb3802fa0d07eafd063afb8ea0d2ee62",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011012-n000004-0000-28cb2c3f498eca64.parquet",
-      "sha256": "28cb2c3f498eca6458546a1d671f80e4ca7f77ecfc6c2fc3ee6cba7e38e8b97b",
-      "bytes": 617227,
-      "rows": 15,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011012-n000004-0000-bb6dd1d624e62893.parquet",
-      "sha256": "bb6dd1d624e628934d6b4000565f585e584c967118c9fb721b045a3a7e597d63",
-      "bytes": 66331,
-      "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011013.lean\",\"43625705c88c399bc3ce5c1762c3983cd59c776ad6bffef11c7404a33b037a68\",0,\"max_power\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011014.lean\",\"1e4eb043a157ab6440c3e7e625a434c8631310742345815f371720c69f2be50c\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011015.lean\",\"81e834f61f0cb5eba0be4454ec35a31ad3175845cc45ac7d3db970a674b826c7\",0,\"StrictMonoFunction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 617227,
+      "path": "data/train/pcd/oproofs-s00002-r00011012-n000004-0000-28cb2c3f498eca64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "28cb2c3f498eca6458546a1d671f80e4ca7f77ecfc6c2fc3ee6cba7e38e8b97b"
+    },
+    {
+      "bytes": 66331,
+      "path": "data/internal_test/pcd/oproofs-s00002-r00011012-n000004-0000-bb6dd1d624e62893.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bb6dd1d624e628934d6b4000565f585e584c967118c9fb721b045a3a7e597d63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011016-n000004.json b/manifests/batches/oproofs/s00002-r00011016-n000004.json
index a685ffe5323cf22f3884dc9bcd81aa20049047bb..6945b3c9b6721df95339d6aeca7345704d206e75 100644
--- a/manifests/batches/oproofs/s00002-r00011016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011016-n000004",
   "batch_fingerprint": "2e9155da723e569518202f2a35fbadb5485be8841060d4c1572c82300ed54cfb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011016-n000004-0000-c11f1e38aea68b20.parquet",
-      "sha256": "c11f1e38aea68b20424ff351490a73b0e4389d7654bd380aa7b41d2ac1a13d1e",
-      "bytes": 402489,
-      "rows": 20,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011017.lean\",\"a0bb8cbfb058446e7389697700d63d8985feafa06e4b874dca75cea6097c4b7f\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011018.lean\",\"b1be84458d285c7d6f9b0f770f986e3ef408887f4cf4b94c3e5a510ce9c97be1\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011019.lean\",\"1ec7f2d15c4f1a8a595636d33dbfeb33aed5b6d471360a1770d400d64ddb86da\",0,\"Prime_Express\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 402489,
+      "path": "data/train/p5c/oproofs-s00002-r00011016-n000004-0000-c11f1e38aea68b20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c11f1e38aea68b20424ff351490a73b0e4389d7654bd380aa7b41d2ac1a13d1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011020-n000004.json b/manifests/batches/oproofs/s00002-r00011020-n000004.json
index cb43ec5694e1fb0970c6bc241cf23e464e8d036b..8a1702f91a519bc6f93f2f8ab4c2d2895a3e6c98 100644
--- a/manifests/batches/oproofs/s00002-r00011020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011020-n000004",
   "batch_fingerprint": "06d93b169bded2e5ec9481439e4fe0a815d0ef3e06c36816cbb9837df9082a03",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011020-n000004-0000-9d74ac4c1cf80931.parquet",
-      "sha256": "9d74ac4c1cf8093112661553ecf3064f6a1e3d9d77ecbf065a935d0a8f6ba683",
-      "bytes": 380501,
-      "rows": 21,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011020-n000004-0000-e08c7bd8db44c0c2.parquet",
-      "sha256": "e08c7bd8db44c0c240998df179f272ad409fff6f705b2f69618c1c2aa0ed47cf",
-      "bytes": 107855,
-      "rows": 2,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011021.lean\",\"989399aa71265da19fe92c3aafbe212ca94d2d95c744c121883a09de69092144\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011022.lean\",\"382b79ed521ef7eae3b4898a7d02b768a3c7fea08fc19c0f9c644d640f586880\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011023.lean\",\"7c290464eaebea26ca40a7067e9a8089ba4eebfcdf54fae1929e0f99dcfb9c76\",0,\"functional_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380501,
+      "path": "data/train/p15/oproofs-s00002-r00011020-n000004-0000-9d74ac4c1cf80931.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9d74ac4c1cf8093112661553ecf3064f6a1e3d9d77ecbf065a935d0a8f6ba683"
+    },
+    {
+      "bytes": 107855,
+      "path": "data/internal_test/p15/oproofs-s00002-r00011020-n000004-0000-e08c7bd8db44c0c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e08c7bd8db44c0c240998df179f272ad409fff6f705b2f69618c1c2aa0ed47cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011024-n000004.json b/manifests/batches/oproofs/s00002-r00011024-n000004.json
index 78c981978a9534b1d5354de11bbcc102754804cc..59e9f0b37b6913293f49a392e65d8fa4a61a9f32 100644
--- a/manifests/batches/oproofs/s00002-r00011024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011024-n000004",
   "batch_fingerprint": "a7cc3f3e979e54ac1b953bca88d52d7b98636dd6b5847bbec2a466b863164f38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011024-n000004-0000-59c611dd59c2018f.parquet",
-      "sha256": "59c611dd59c2018f738290515a85a75fddc7a227d83ee5688c1236f08ea33ccc",
-      "bytes": 682684,
-      "rows": 14,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011024-n000004-0001-bcd5ad0da82350d8.parquet",
-      "sha256": "bcd5ad0da82350d8af607596e80ae444a4fb4ca19b3f866874a8a1bd7e77fa26",
-      "bytes": 359359,
-      "rows": 4,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11025",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011025.lean\",\"0e48778376ae6e53cf14b819011f8443b96e9e0362f537bc358a69a9d96fcfd6\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011026.lean\",\"09fea198a028fab0c4a85be1ad82fdca54c2839058262893e28573e37a70c5e0\",0,\"div_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011027.lean\",\"236f1874028fd70f7e47db22440336757e6c002d4d43bbdec5ef127923986b25\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 682684,
+      "path": "data/train/pdb/oproofs-s00002-r00011024-n000004-0000-59c611dd59c2018f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "59c611dd59c2018f738290515a85a75fddc7a227d83ee5688c1236f08ea33ccc"
+    },
+    {
+      "bytes": 359359,
+      "path": "data/train/pdb/oproofs-s00002-r00011024-n000004-0001-bcd5ad0da82350d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bcd5ad0da82350d8af607596e80ae444a4fb4ca19b3f866874a8a1bd7e77fa26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011028-n000004.json b/manifests/batches/oproofs/s00002-r00011028-n000004.json
index ead522cfc5342729b31a60f9383d78f3c52466d6..e58c929720a26203fa657aed7ff5c38fcf41a1c6 100644
--- a/manifests/batches/oproofs/s00002-r00011028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011028-n000004",
   "batch_fingerprint": "1d6213f996754ffbfeaf3174c3441d0e2ac0b87860a99d13cf45eead27b352e9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011028-n000004-0000-413f6d91f2c78005.parquet",
-      "sha256": "413f6d91f2c780051b6c64dcca7de561988a8a0a01385b8279aa499093b38bd4",
-      "bytes": 1200007,
-      "rows": 20,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011028-n000004-0000-281a98106614c5a3.parquet",
-      "sha256": "281a98106614c5a3cde01cd19d7520c66e000c78839dfa9029d282ee4efcca3b",
-      "bytes": 448593,
-      "rows": 8,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011029.lean\",\"c44862de32a74695f0ed05256b1211aec6ccf3dcd69233ebc3017df1dc035cf5\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011030.lean\",\"24f94eb0586cf77171221a9be26d0aee34c72763892ac5b15386dfc1ee280cd2\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011031.lean\",\"e88bcac08aa09db22a7f5d790331b1ba44122b1fc978e4aec9ec66d87790940b\",0,\"algebra_480629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1200007,
+      "path": "data/train/p82/oproofs-s00002-r00011028-n000004-0000-413f6d91f2c78005.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "413f6d91f2c780051b6c64dcca7de561988a8a0a01385b8279aa499093b38bd4"
+    },
+    {
+      "bytes": 448593,
+      "path": "data/internal_test/p82/oproofs-s00002-r00011028-n000004-0000-281a98106614c5a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "281a98106614c5a3cde01cd19d7520c66e000c78839dfa9029d282ee4efcca3b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011032-n000004.json b/manifests/batches/oproofs/s00002-r00011032-n000004.json
index 5cbb8a3a098b4ec2f5facaeac7b07038e566cc4a..e07c56757eab62ba120ba7b17cc7734511206505 100644
--- a/manifests/batches/oproofs/s00002-r00011032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011032-n000004",
   "batch_fingerprint": "9c916100b18e54aa51d981080cd62a403ae351dd4f99e8e50237db1d35ed9852",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11032",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11033",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11034",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11035"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011032.lean\",\"35b0305fad04c1b8020512296933bd838cc1fb0866ab45a706c828d688e03677\",0,\"algebra_456484\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011033.lean\",\"d7faa72d637c5ddc9c516d96f57d13e209a882ec9a43dc45236519fa71003bac\",0,\"FintypeField\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011034.lean\",\"6e1679cb2250ba443f5dbb2c0202849b4f432863900ef5e4d2eca61ff374258d\",0,\"algebra_438659\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011035.lean\",\"bc2c5aa60bda6e365b4627b24301b497196a9e29502fba035e7c57eb8046fe77\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011032-n000004-0000-a28fb3f3b3ae48b0.parquet",
-      "sha256": "a28fb3f3b3ae48b073da891c4bf1d2cd35fd30fb964faca46ed9e18a7e54830e",
       "bytes": 793616,
+      "path": "data/train/pc7/oproofs-s00002-r00011032-n000004-0000-a28fb3f3b3ae48b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "1d7726edcceef7c6c8e051e21e4056ead08f9afa"
+      "sha256": "a28fb3f3b3ae48b073da891c4bf1d2cd35fd30fb964faca46ed9e18a7e54830e"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011032-n000004-0001-14ea16384922a8cc.parquet",
-      "sha256": "14ea16384922a8cc7c0eae2c5a3267e62ee5c5afe6a3d653c27e1fc70e23fee4",
       "bytes": 255181,
+      "path": "data/train/pc7/oproofs-s00002-r00011032-n000004-0001-14ea16384922a8cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1d7726edcceef7c6c8e051e21e4056ead08f9afa"
+      "sha256": "14ea16384922a8cc7c0eae2c5a3267e62ee5c5afe6a3d653c27e1fc70e23fee4"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011032-n000004-0000-7ca98a3636b1604d.parquet",
-      "sha256": "7ca98a3636b1604d287d39895c937b24b62b3deb9c46d427cf849ad02d93c125",
       "bytes": 1323446,
+      "path": "data/internal_test/pc7/oproofs-s00002-r00011032-n000004-0000-7ca98a3636b1604d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "1d7726edcceef7c6c8e051e21e4056ead08f9afa"
+      "sha256": "7ca98a3636b1604d287d39895c937b24b62b3deb9c46d427cf849ad02d93c125"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11032",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11033",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11034",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11035"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011032.lean\",\"35b0305fad04c1b8020512296933bd838cc1fb0866ab45a706c828d688e03677\",0,\"algebra_456484\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011033.lean\",\"d7faa72d637c5ddc9c516d96f57d13e209a882ec9a43dc45236519fa71003bac\",0,\"FintypeField\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011034.lean\",\"6e1679cb2250ba443f5dbb2c0202849b4f432863900ef5e4d2eca61ff374258d\",0,\"algebra_438659\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011035.lean\",\"bc2c5aa60bda6e365b4627b24301b497196a9e29502fba035e7c57eb8046fe77\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011036-n000004.json b/manifests/batches/oproofs/s00002-r00011036-n000004.json
index 039c560bd8a0ba40eb78eca77bd5580cf4435995..08c9522513e8e8de56e2af4c3fb03e917159cd72 100644
--- a/manifests/batches/oproofs/s00002-r00011036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011036-n000004",
   "batch_fingerprint": "ced7fb261c01665edd0b3d0345f68a511e441e75700afa2473f7c3026bbcb082",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011036-n000004-0000-9424cac433d8a596.parquet",
-      "sha256": "9424cac433d8a596430cc25bcbd14d04bd33eae9c23b79bec263f78cbc55c5d6",
-      "bytes": 169653,
-      "rows": 17,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011037.lean\",\"1a00ec27b810f7a33f8c57739f522874ecbded843d65b740ab84053a4d2a970a\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011038.lean\",\"2781eeb1c9448d84370dad246108653cb4f07dbce96b28e130c3b7b02a857536\",0,\"lean_workbook_plus_51909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011039.lean\",\"ad3bc855bca65e4c12b9244ea4c76e8f39629625f213b2c4c71c4be94d67ac4b\",0,\"lean_workbook_plus_78524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169653,
+      "path": "data/train/pfd/oproofs-s00002-r00011036-n000004-0000-9424cac433d8a596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9424cac433d8a596430cc25bcbd14d04bd33eae9c23b79bec263f78cbc55c5d6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011040-n000004.json b/manifests/batches/oproofs/s00002-r00011040-n000004.json
index b23eae097c080dd77f70ec25c05fc11f191d8f33..56296fdc053a526cde508bfb1fac244cb67aaaa2 100644
--- a/manifests/batches/oproofs/s00002-r00011040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011040-n000004",
   "batch_fingerprint": "3a1c36581bf669b3de089f7eb89931b0df4f719c3bea8ea09a6177d86ce01c60",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011040-n000004-0000-6a01b65da8defc46.parquet",
-      "sha256": "6a01b65da8defc461a572612745f301c818b7d4ecba42e5a0187c1a312876fe3",
-      "bytes": 362457,
-      "rows": 17,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011041.lean\",\"2cabf68c66947d6854311b68a1b53eb87c14cc9e25a8dc21fd12024d06a9b8fd\",0,\"lean_workbook_plus_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011042.lean\",\"8086054bbe062fe3e0addd85df21a838ae59dc70a9e9b131eb0db4102ba22332\",0,\"lean_workbook_plus_29625\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011043.lean\",\"73df44e43ee82f83a80e2c6f7ab44c98d362421f50cea771b02c5a92c9200253\",0,\"lean_workbook_20990\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362457,
+      "path": "data/train/p9b/oproofs-s00002-r00011040-n000004-0000-6a01b65da8defc46.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6a01b65da8defc461a572612745f301c818b7d4ecba42e5a0187c1a312876fe3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011044-n000004.json b/manifests/batches/oproofs/s00002-r00011044-n000004.json
index 52b084ed43b53efa99d31ec38c1e2fcdaf3ff4f2..ca71887dcaea9705d89cab5d759d72b383ae46df 100644
--- a/manifests/batches/oproofs/s00002-r00011044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011044-n000004",
   "batch_fingerprint": "69d7eae6424a344755ec626740847f67d75817eb11985d31ade24e8c5161c28f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11044",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11045",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11046",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11047"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011044.lean\",\"4fea6165d5b3ddba146e5e77a74ce111724772147bed06a16917e9ef983ddb4e\",0,\"lean_workbook_plus_57624\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011045.lean\",\"fd9bcf2d784c0e2bb67de896ac4827e049b1bbb09af74732fb4ace054436b3b1\",0,\"lean_workbook_40689\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011046.lean\",\"98b946551cf73bef22871f3d4bdb81376b370eea6d858ac9a0820d9e86bfd0ff\",0,\"lean_workbook_22106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011047.lean\",\"0f89398995c9c182f21a3268a64909fedd821e50fa0876bfa4dc1256fa3e3f45\",0,\"lean_workbook_43383\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011044-n000004-0000-250aef10dd0c9344.parquet",
-      "sha256": "250aef10dd0c93449400e758103a0f55859094163846a48703d52426c0f8e54a",
       "bytes": 100065,
+      "path": "data/train/p36/oproofs-s00002-r00011044-n000004-0000-250aef10dd0c9344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "250aef10dd0c93449400e758103a0f55859094163846a48703d52426c0f8e54a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011044-n000004-0000-ba2e6cc19e9f9fe6.parquet",
-      "sha256": "ba2e6cc19e9f9fe66ddc6f5c21448518ad25f4f41e0c8af3ad5e7e4a6001fee6",
       "bytes": 67469,
+      "path": "data/dev/p36/oproofs-s00002-r00011044-n000004-0000-ba2e6cc19e9f9fe6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "ba2e6cc19e9f9fe66ddc6f5c21448518ad25f4f41e0c8af3ad5e7e4a6001fee6"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011044-n000004-0000-c2025efbd2be234a.parquet",
-      "sha256": "c2025efbd2be234a26245fc72bbdc9d0eba16bf6880664afda454f3aa7c199cc",
       "bytes": 130744,
+      "path": "data/internal_test/p36/oproofs-s00002-r00011044-n000004-0000-c2025efbd2be234a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "c2025efbd2be234a26245fc72bbdc9d0eba16bf6880664afda454f3aa7c199cc"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11044",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11045",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11046",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11047"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011044.lean\",\"4fea6165d5b3ddba146e5e77a74ce111724772147bed06a16917e9ef983ddb4e\",0,\"lean_workbook_plus_57624\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011045.lean\",\"fd9bcf2d784c0e2bb67de896ac4827e049b1bbb09af74732fb4ace054436b3b1\",0,\"lean_workbook_40689\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011046.lean\",\"98b946551cf73bef22871f3d4bdb81376b370eea6d858ac9a0820d9e86bfd0ff\",0,\"lean_workbook_22106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011047.lean\",\"0f89398995c9c182f21a3268a64909fedd821e50fa0876bfa4dc1256fa3e3f45\",0,\"lean_workbook_43383\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011048-n000004.json b/manifests/batches/oproofs/s00002-r00011048-n000004.json
index aaaed241bb74801c5f5527bd457d060072683549..86324eccbd78fd241df2eb783b152c33f1ab17ae 100644
--- a/manifests/batches/oproofs/s00002-r00011048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011048-n000004",
   "batch_fingerprint": "326e2190294a4355a1b209b7f9ca332f4abbb8e60b50960b0ffdbba0abfe43cb",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11048",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11049",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11050",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11051"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011048.lean\",\"bfbef910d47842af675b8a2c2056ae2270320f88904bd82412100d795183cc14\",0,\"lean_workbook_plus_63068\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011049.lean\",\"e1787605e39e7db8961cfc49b7b797f5cde83ac1540e7b20544004da6c2a0f5d\",0,\"lean_workbook_plus_54775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011050.lean\",\"c0d16857182403b10134927a298fa672b688f4e1ca34dbdf4978014dde8d7adf\",0,\"ceiling_floor_product_seventy_two\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011051.lean\",\"026dcd771d46e069cc1869f3a37f2ae3537f1eaff95f93611c69493872f1b248\",0,\"lean_workbook_plus_42057\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011048-n000004-0000-7f6d207e441d43b6.parquet",
-      "sha256": "7f6d207e441d43b662e6bb92eec3895816558fc428cc2bbb6da9af3108379bcf",
       "bytes": 239319,
+      "path": "data/train/pfd/oproofs-s00002-r00011048-n000004-0000-7f6d207e441d43b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "7f6d207e441d43b662e6bb92eec3895816558fc428cc2bbb6da9af3108379bcf"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011048-n000004-0000-5fef988b957c45d8.parquet",
-      "sha256": "5fef988b957c45d891eaab5efe58f7e4541cb6ee6608fe36e82e9ebdabdf77ed",
       "bytes": 61768,
+      "path": "data/dev/pfd/oproofs-s00002-r00011048-n000004-0000-5fef988b957c45d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "5fef988b957c45d891eaab5efe58f7e4541cb6ee6608fe36e82e9ebdabdf77ed"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011048-n000004-0000-45a88c07671fbb75.parquet",
-      "sha256": "45a88c07671fbb75aab0e70297263fcc794b244b3443fcb2199e969c82d65a6f",
       "bytes": 108609,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00011048-n000004-0000-45a88c07671fbb75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "45a88c07671fbb75aab0e70297263fcc794b244b3443fcb2199e969c82d65a6f"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11048",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11049",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11050",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11051"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011048.lean\",\"bfbef910d47842af675b8a2c2056ae2270320f88904bd82412100d795183cc14\",0,\"lean_workbook_plus_63068\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011049.lean\",\"e1787605e39e7db8961cfc49b7b797f5cde83ac1540e7b20544004da6c2a0f5d\",0,\"lean_workbook_plus_54775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011050.lean\",\"c0d16857182403b10134927a298fa672b688f4e1ca34dbdf4978014dde8d7adf\",0,\"ceiling_floor_product_seventy_two\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011051.lean\",\"026dcd771d46e069cc1869f3a37f2ae3537f1eaff95f93611c69493872f1b248\",0,\"lean_workbook_plus_42057\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011052-n000004.json b/manifests/batches/oproofs/s00002-r00011052-n000004.json
index c3850c25da0fcac7380585f320ec883233cc25f4..383c86d699965b26ceafb11bbb0cbdc4c91c0d30 100644
--- a/manifests/batches/oproofs/s00002-r00011052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011052-n000004",
   "batch_fingerprint": "8d16c3a2e0c78385e347d5160f82ca219f3cd97a84bb60ffffd8b7f1ad63bfae",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11052",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11053",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11054",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11055"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011052.lean\",\"35c4d47073241fa9277d7916ba6484eeb76818027a35647c3f6aad07a4652cee\",0,\"lean_workbook_plus_33737\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011053.lean\",\"2e3ca0effbe3fba84ee3f1ce65023ab6d5b1aee26e096e040926c802bb11b722\",0,\"lean_workbook_plus_47062\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011054.lean\",\"f48e14100f19692248e4009fda47f7f263dd16a79b9527747dffb3885529d925\",0,\"lean_workbook_plus_70971\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011055.lean\",\"ad848b06405411ef43853bd5edec00e050c8359784e98c2e6be3aef4fdd8b524\",0,\"lean_workbook_plus_48829\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011052-n000004-0000-0695e8c8801bdd8f.parquet",
-      "sha256": "0695e8c8801bdd8f9fcc34c85f861677afca3e2e1502ee9149dffbe5822ce361",
       "bytes": 237421,
+      "path": "data/train/p25/oproofs-s00002-r00011052-n000004-0000-0695e8c8801bdd8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "0695e8c8801bdd8f9fcc34c85f861677afca3e2e1502ee9149dffbe5822ce361"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011052-n000004-0000-1da41e1d45bdc15d.parquet",
-      "sha256": "1da41e1d45bdc15d9a732aea638e35dc2d99e624676987bae361f2b5e1f759f7",
       "bytes": 129170,
+      "path": "data/dev/p25/oproofs-s00002-r00011052-n000004-0000-1da41e1d45bdc15d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "1da41e1d45bdc15d9a732aea638e35dc2d99e624676987bae361f2b5e1f759f7"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011052-n000004-0000-495d06d795501402.parquet",
-      "sha256": "495d06d795501402b64e2513092a5fe414eb62e95324b95c193514fe03634a25",
       "bytes": 67226,
+      "path": "data/internal_test/p25/oproofs-s00002-r00011052-n000004-0000-495d06d795501402.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
+      "sha256": "495d06d795501402b64e2513092a5fe414eb62e95324b95c193514fe03634a25"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11052",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11053",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11054",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11055"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011052.lean\",\"35c4d47073241fa9277d7916ba6484eeb76818027a35647c3f6aad07a4652cee\",0,\"lean_workbook_plus_33737\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011053.lean\",\"2e3ca0effbe3fba84ee3f1ce65023ab6d5b1aee26e096e040926c802bb11b722\",0,\"lean_workbook_plus_47062\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011054.lean\",\"f48e14100f19692248e4009fda47f7f263dd16a79b9527747dffb3885529d925\",0,\"lean_workbook_plus_70971\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011055.lean\",\"ad848b06405411ef43853bd5edec00e050c8359784e98c2e6be3aef4fdd8b524\",0,\"lean_workbook_plus_48829\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011056-n000004.json b/manifests/batches/oproofs/s00002-r00011056-n000004.json
index 0b042017825e7805baef594ce59bb4a6ba497659..6786a74ed771b2e16cb8be12138ff607d23c55a7 100644
--- a/manifests/batches/oproofs/s00002-r00011056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011056-n000004",
   "batch_fingerprint": "3ccc2bca12786b1184036463682873110b1c808ef4cd75a620f4915d3eddd2c2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011056-n000004-0000-76b6c774ce8fbc7d.parquet",
-      "sha256": "76b6c774ce8fbc7ddc4c255d580e827db3355e5c7c1d3a65054b487bfe59d46f",
-      "bytes": 140692,
-      "rows": 11,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011056-n000004-0000-790ac04fb58a27a4.parquet",
-      "sha256": "790ac04fb58a27a49f12e0e81e7d00377b52f64f6270beb7eb1b6a3b223b53f6",
-      "bytes": 98279,
-      "rows": 4,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11057",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011057.lean\",\"261ce008aeb72a8f05b79762696afa947f57a9acd912e5edc4e722841b975fce\",0,\"lean_workbook_46253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011058.lean\",\"2e7d2e763bbf5f9aadab62c28be41328812fb43c1a32e813f43beea9d306ee04\",0,\"lean_workbook_plus_55552\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011059.lean\",\"86c6a7acf4a87a9f5bb4a39e935b10e2b023e52c365009fa324804c31c4612f8\",0,\"lean_workbook_plus_17335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 140692,
+      "path": "data/train/p3b/oproofs-s00002-r00011056-n000004-0000-76b6c774ce8fbc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "76b6c774ce8fbc7ddc4c255d580e827db3355e5c7c1d3a65054b487bfe59d46f"
+    },
+    {
+      "bytes": 98279,
+      "path": "data/dev/p3b/oproofs-s00002-r00011056-n000004-0000-790ac04fb58a27a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "790ac04fb58a27a49f12e0e81e7d00377b52f64f6270beb7eb1b6a3b223b53f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011060-n000004.json b/manifests/batches/oproofs/s00002-r00011060-n000004.json
index 45942b63b787b723d6f0d823e161d91405dee1f1..0ecd36fcd9035107085bf05a16666d173b83a765 100644
--- a/manifests/batches/oproofs/s00002-r00011060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011060-n000004",
   "batch_fingerprint": "2a450ac0cea11a6c884f08c060bf3d37d123f4f9b7bc9233fc27d0d5bed47ca4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011060-n000004-0000-502175cef2b6fe1c.parquet",
-      "sha256": "502175cef2b6fe1c10788823c1c02a6aa7f3157e966ad2ef7c1bdfa4a2764a28",
-      "bytes": 151475,
-      "rows": 16,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011060-n000004-0000-e425e70591eaeaae.parquet",
-      "sha256": "e425e70591eaeaae6a29eeaded944ba893bbfc4ddc8f5a1bc286823939892057",
-      "bytes": 159390,
-      "rows": 8,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011061.lean\",\"b426f1d206582ab483cd373e8978e56b0e8f7774306028d9e6b8a88db38b7a05\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011062.lean\",\"8071811021e195377a1fb847bb0be3f39903537b94be96f694269e578ca03bf7\",0,\"lean_workbook_31470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011063.lean\",\"b5c5aa529b1e95431b32512cab1fefafcd7201d8d5f021449253f87028f53ce6\",0,\"lean_workbook_plus_31117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 151475,
+      "path": "data/train/p5f/oproofs-s00002-r00011060-n000004-0000-502175cef2b6fe1c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "502175cef2b6fe1c10788823c1c02a6aa7f3157e966ad2ef7c1bdfa4a2764a28"
+    },
+    {
+      "bytes": 159390,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00011060-n000004-0000-e425e70591eaeaae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e425e70591eaeaae6a29eeaded944ba893bbfc4ddc8f5a1bc286823939892057"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011064-n000004.json b/manifests/batches/oproofs/s00002-r00011064-n000004.json
index cf9aa9bc4801843df313b5b2c83773afd3f0b19d..eb4b874d8df3a7361fcc4859885eaf1652030e55 100644
--- a/manifests/batches/oproofs/s00002-r00011064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011064-n000004",
   "batch_fingerprint": "215084a94e38f0cb3bf0745a48a23119fa01af3126b41619c8ba43a500911db4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011064-n000004-0000-fcb176650a148dd3.parquet",
-      "sha256": "fcb176650a148dd367d34bd7d2fbf6a69a26ecf9c57a4217db61b99402aaccdd",
-      "bytes": 544985,
-      "rows": 25,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11065",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011065.lean\",\"a54d4a8c32b4a68d3be3377511be45fa5ffcb560bb18032208579d57a6433e27\",0,\"lean_workbook_37617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011066.lean\",\"e04440028d631bfa301d2300e2edeae05cf2860d32dd1cdb37bb05ad61946477\",0,\"lean_workbook_plus_36251\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011067.lean\",\"0116469a6644d80a9c60d7224c7b27d841d15f59952fb5d8418295310a01da5d\",0,\"lean_workbook_12595\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544985,
+      "path": "data/train/pfb/oproofs-s00002-r00011064-n000004-0000-fcb176650a148dd3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "fcb176650a148dd367d34bd7d2fbf6a69a26ecf9c57a4217db61b99402aaccdd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011068-n000004.json b/manifests/batches/oproofs/s00002-r00011068-n000004.json
index fb86dd51e83f21d313666a14d414978b82d72ac2..3285e00227381e25fc102503ca291164f419262d 100644
--- a/manifests/batches/oproofs/s00002-r00011068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011068-n000004",
   "batch_fingerprint": "fb30652ea0032c9ebf4eaa14827f14858c9ac5c75032cd5a031de4b798905c8c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011068-n000004-0000-d88ff7032e0a9df2.parquet",
-      "sha256": "d88ff7032e0a9df2867a4c46ba98c1797bd4ba07dc08d785d12f920d0e20794c",
-      "bytes": 511629,
-      "rows": 14,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11069",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011069.lean\",\"649a1616632b1cdd998cb192294de821dcc9a2ccdffb2c3e0df2eacbeb3110be\",0,\"Prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011070.lean\",\"5f5d9d4b52ede3ff1737757f9129c27c6b9f6cb205f6bcc05a718acbb7c965f1\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011071.lean\",\"e2948579e92c77b2f7a836df7badea6c0f334081033b9dbb9b70d97ec1a09077\",0,\"positive\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 511629,
+      "path": "data/train/pa4/oproofs-s00002-r00011068-n000004-0000-d88ff7032e0a9df2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d88ff7032e0a9df2867a4c46ba98c1797bd4ba07dc08d785d12f920d0e20794c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011072-n000004.json b/manifests/batches/oproofs/s00002-r00011072-n000004.json
index 97cbe7e176cae387c73cdfef7276811694d0d4ae..f50106b22af71cc0fb7194230750d56afc4a7f0e 100644
--- a/manifests/batches/oproofs/s00002-r00011072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011072-n000004",
   "batch_fingerprint": "d70410ed0f283ef0a36783e29b12cc0347d13de7be971d756911b1bf5a473861",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011072-n000004-0000-2815890458f51abf.parquet",
-      "sha256": "2815890458f51abf9b68f9811f96b14b787aa2d0e36c7fe0ed21f4a23f7b5f74",
-      "bytes": 620363,
-      "rows": 14,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011073.lean\",\"b8400f82a6aefc8bf969abecf76832973a3313e74245210d86b6403878de10bb\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011074.lean\",\"bdf5a320454e40cb01c27c6719d95a87e0be43a682632c0250c55df20f452801\",0,\"lean_workbook_plus_4867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011075.lean\",\"09507031886a87169be3f025bcba459268e3669d19d0e355e2327d5d6e82a2c3\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 620363,
+      "path": "data/train/pca/oproofs-s00002-r00011072-n000004-0000-2815890458f51abf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "2815890458f51abf9b68f9811f96b14b787aa2d0e36c7fe0ed21f4a23f7b5f74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011076-n000004.json b/manifests/batches/oproofs/s00002-r00011076-n000004.json
index 4e7089782cb9887f3a323d3cb18f47b75c4d382b..2c6ee57e00c1065e9f47860a3fac7a534dd0f7eb 100644
--- a/manifests/batches/oproofs/s00002-r00011076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011076-n000004",
   "batch_fingerprint": "dc2a91ff4c7fa400f62f7a7461ca27f011ae608b60c497a0ef77448b35e73a2d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011076-n000004-0000-873578a22321a960.parquet",
-      "sha256": "873578a22321a960c958cfd824883dc93f2694e15018872b9442d6d16df6c0d7",
-      "bytes": 574397,
-      "rows": 15,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011076-n000004-0000-1ce8cc23ee48467d.parquet",
-      "sha256": "1ce8cc23ee48467d500234bdd5d2ecb7ff4c69055a91831e16b831ae61ceca3e",
-      "bytes": 62348,
-      "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011077.lean\",\"7d167a8eeace52cd5f4e851cf8e4eeb1bd3cfa69cb11d430969bf9f653a184f0\",0,\"algebra_486524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011078.lean\",\"58f39ce443f3867283c6d30e24a8139ef3a59e4d319e48539bdc2453aa206227\",0,\"OddNat\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011079.lean\",\"e62066ba4636af005521cc05d22e4fcd3a78908b5792d6474eb4fb8880c52f85\",0,\"no_integer_solutions\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 574397,
+      "path": "data/train/p7d/oproofs-s00002-r00011076-n000004-0000-873578a22321a960.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "873578a22321a960c958cfd824883dc93f2694e15018872b9442d6d16df6c0d7"
+    },
+    {
+      "bytes": 62348,
+      "path": "data/internal_test/p7d/oproofs-s00002-r00011076-n000004-0000-1ce8cc23ee48467d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1ce8cc23ee48467d500234bdd5d2ecb7ff4c69055a91831e16b831ae61ceca3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011080-n000004.json b/manifests/batches/oproofs/s00002-r00011080-n000004.json
index f786f6338b549e9c64b9a13faad38a4c6ce4923e..631bcbd9077c2a7c61dde68e7c525c492cd9deaf 100644
--- a/manifests/batches/oproofs/s00002-r00011080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011080-n000004",
   "batch_fingerprint": "46c44f39216bb881e039ef36e5485afe8a1dc09bf45b3654dcbca56ea4f28243",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011080-n000004-0000-7a1a17ff1f0ff2f8.parquet",
-      "sha256": "7a1a17ff1f0ff2f875ed79722b50f50c181f496f2adbaa1a1df876c74eaa7c65",
-      "bytes": 322084,
-      "rows": 15,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011081.lean\",\"dc280e82db334b4be02870ce17edf323d0588c3560d478eb0063d18b724d3e6d\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011082.lean\",\"e6487144f428826f61fc4c2b997ad56008cda4d01afd16546bc147c512edf2c9\",0,\"Prime_Express\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011083.lean\",\"eca16de55a62798cf77815c3c9ac2a12a795a2640521a588a85468c100b43f4e\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322084,
+      "path": "data/train/p99/oproofs-s00002-r00011080-n000004-0000-7a1a17ff1f0ff2f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7a1a17ff1f0ff2f875ed79722b50f50c181f496f2adbaa1a1df876c74eaa7c65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011084-n000004.json b/manifests/batches/oproofs/s00002-r00011084-n000004.json
index 10dadd41f72c6483d23dff6611a299a8f4d24270..2f5c3ab500b276259c3b8dae4250f8224646e0ec 100644
--- a/manifests/batches/oproofs/s00002-r00011084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011084-n000004",
   "batch_fingerprint": "1a3cc2220bc4a00b7f9d338d751a468806989db742c1d013009f94d21c4b02ba",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011084-n000004-0000-2f2d9d69d81a399e.parquet",
-      "sha256": "2f2d9d69d81a399eb20111dc94b3b4ff242519ec4e938904e83f6e0821121f19",
-      "bytes": 83194,
-      "rows": 8,
-      "revision": "1d7726edcceef7c6c8e051e21e4056ead08f9afa"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011084-n000004-0000-425f945edcf6ef5f.parquet",
-      "sha256": "425f945edcf6ef5f91b061214aab7c2d28f9ea35e38ac03d0bbcb86a4c5d460b",
-      "bytes": 270352,
-      "rows": 12,
-      "revision": "1d7726edcceef7c6c8e051e21e4056ead08f9afa"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11085",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11086",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011085.lean\",\"ab25ba3841069ecaa6e2d9323605945bce334b683b65472649325ae377244791\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011086.lean\",\"84f6a493c28c0d82ded9501f41be2ee0640447c21825c7f5f4d7839e40eb11ab\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011087.lean\",\"158f2ab6038d34ec20aa8919cad782c10216312dfaf076eb8c65646725b4858f\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83194,
+      "path": "data/train/p5b/oproofs-s00002-r00011084-n000004-0000-2f2d9d69d81a399e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2f2d9d69d81a399eb20111dc94b3b4ff242519ec4e938904e83f6e0821121f19"
+    },
+    {
+      "bytes": 270352,
+      "path": "data/internal_test/p5b/oproofs-s00002-r00011084-n000004-0000-425f945edcf6ef5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "425f945edcf6ef5f91b061214aab7c2d28f9ea35e38ac03d0bbcb86a4c5d460b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011088-n000004.json b/manifests/batches/oproofs/s00002-r00011088-n000004.json
index f9ba0518b6f8b18b4a4abd57dbb87d810b6f2470..e8447cb0d4e4fcf2941ed059eae8258a4803e496 100644
--- a/manifests/batches/oproofs/s00002-r00011088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011088-n000004",
   "batch_fingerprint": "8eae91581ee1a8ed0c8956502f61d96e312574218af2516a4fa74b1c081a2467",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011088-n000004-0000-8b33b3e0c0187daf.parquet",
-      "sha256": "8b33b3e0c0187dafedc939909dbefabaf14188a567ef90c996106e3dacac8929",
-      "bytes": 633826,
-      "rows": 17,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11089",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011089.lean\",\"03a65d13905e8b407275bf90c36c664abb4310cfdccb1d3570d6e5a2f3ac83b0\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011090.lean\",\"583c76c829c00ca6e574b6a437b37f350425af9d7512fb26d5e60e219ecd54a6\",0,\"algebra_268182\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011091.lean\",\"403ad4161f504b56cfa7f9273bc7337259dd315b85125e66c75c4c0169370fef\",0,\"algebra_447512\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 633826,
+      "path": "data/train/pa9/oproofs-s00002-r00011088-n000004-0000-8b33b3e0c0187daf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8b33b3e0c0187dafedc939909dbefabaf14188a567ef90c996106e3dacac8929"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011092-n000004.json b/manifests/batches/oproofs/s00002-r00011092-n000004.json
index 66a91d9aac46e0c666f2af9c83ea6b85b00fbcbc..8c34bfcc6f92d076280fec01148023bed330f5ef 100644
--- a/manifests/batches/oproofs/s00002-r00011092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011092-n000004",
   "batch_fingerprint": "9448dd8dc770af81e0e98c9e651e8571ac7b0a7b23e01ff0dbb2e20fe3321f2b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011092-n000004-0000-6eef11a6a01ceb03.parquet",
-      "sha256": "6eef11a6a01ceb03fc84a84fcb6fedc4efe71f8390b6c55f37fb1ce07086a6c9",
-      "bytes": 1100581,
-      "rows": 14,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011092-n000004-0001-53ce691ff00ef328.parquet",
-      "sha256": "53ce691ff00ef3288e18daa8cf090fb7c11d8c9d277311166556bd7f29d959bc",
-      "bytes": 1152278,
-      "rows": 11,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011093.lean\",\"2ea4eb167a7498b59073f5cccc7e7342780a18f49a30dc93d9a6ddbcd2a073bc\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011094.lean\",\"015c97198949c0e134f5c34dadf05f109b6c8546e7b02035a54c98f148080c26\",0,\"div_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011095.lean\",\"0e1889df73375fffe180a0b5dd61de3189868ad64b601f749a59f89708cf99d3\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1100581,
+      "path": "data/train/p3b/oproofs-s00002-r00011092-n000004-0000-6eef11a6a01ceb03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6eef11a6a01ceb03fc84a84fcb6fedc4efe71f8390b6c55f37fb1ce07086a6c9"
+    },
+    {
+      "bytes": 1152278,
+      "path": "data/train/p3b/oproofs-s00002-r00011092-n000004-0001-53ce691ff00ef328.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "53ce691ff00ef3288e18daa8cf090fb7c11d8c9d277311166556bd7f29d959bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011096-n000004.json b/manifests/batches/oproofs/s00002-r00011096-n000004.json
index 4a3bbd04d690221a46a33b9ebf19311218d41cf9..37190d75e13bb3aa01701d222a1d5c4426ece5d3 100644
--- a/manifests/batches/oproofs/s00002-r00011096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011096-n000004",
   "batch_fingerprint": "3c7de7730b734bcf36338f90ba89a83fde5aa739ec98697e4c4204d6443a9928",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011096-n000004-0000-9974d7d38b34a796.parquet",
-      "sha256": "9974d7d38b34a7965001b627a3b4928dd90823a990a6f9a04b606146e2e161e6",
-      "bytes": 586074,
-      "rows": 15,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011097.lean\",\"7f60209e53e4c5758e67001a468e1d0c17661943d8a66370a57c03a23f9a332b\",0,\"algebra_475601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011098.lean\",\"742acf7571377d2442563f3e50841ef8a2b73f05867418d29b5ae6ae7376c6b2\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011099.lean\",\"656afe4e943cc4155eda847a4e14af80b4072841d666c84956228ad5c7b083b7\",0,\"Noncomm\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586074,
+      "path": "data/train/p0b/oproofs-s00002-r00011096-n000004-0000-9974d7d38b34a796.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9974d7d38b34a7965001b627a3b4928dd90823a990a6f9a04b606146e2e161e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011100-n000004.json b/manifests/batches/oproofs/s00002-r00011100-n000004.json
index 009a7314f0efc9eb544caa3a9e5a11d2a434b961..dbb20d1533525b3f3c6116cfb2273b61b6f9fc34 100644
--- a/manifests/batches/oproofs/s00002-r00011100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011100-n000004",
   "batch_fingerprint": "d14a144bddd5ffbb8c0fe8a2c0e6db951a1a4fd09f6b5b173585ecc1bc103e3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011100-n000004-0000-2e34d9b265d037a0.parquet",
-      "sha256": "2e34d9b265d037a037f56123b34e6d79cbcee4a36e44c9f5edbed184c3fc7d3f",
-      "bytes": 824506,
-      "rows": 23,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011100-n000004-0001-750239ad114c3df2.parquet",
-      "sha256": "750239ad114c3df252a402811afc8fca4f5922ef89901d8a17ae38de8a05b1af",
-      "bytes": 1064158,
-      "rows": 3,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011101.lean\",\"a1f7fdf995a75a57dee36b6900e4df5d2c609b2807af1faadfa2e8f6e55c31b1\",0,\"algebra_457910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011102.lean\",\"9e10732d2bbfdb0a50737e002934505773c829d8b3fd93d65323351db0365bee\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011103.lean\",\"76317d98e0d28439c8b5cda682652cbd7e2c945578e3b6e45260d54d1e711703\",0,\"max_ineq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 824506,
+      "path": "data/train/p04/oproofs-s00002-r00011100-n000004-0000-2e34d9b265d037a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2e34d9b265d037a037f56123b34e6d79cbcee4a36e44c9f5edbed184c3fc7d3f"
+    },
+    {
+      "bytes": 1064158,
+      "path": "data/train/p04/oproofs-s00002-r00011100-n000004-0001-750239ad114c3df2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "750239ad114c3df252a402811afc8fca4f5922ef89901d8a17ae38de8a05b1af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011104-n000004.json b/manifests/batches/oproofs/s00002-r00011104-n000004.json
index 116d6727699c108a618d3a1df9362426e0b734ac..555eddda476853aea310390e334b6094446ee972 100644
--- a/manifests/batches/oproofs/s00002-r00011104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011104-n000004",
   "batch_fingerprint": "01cfac761ff6fc95228bdfea7719d06ed37e67ea2212c167aec264dee78b726b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011104-n000004-0000-e766800d2b2b2c62.parquet",
-      "sha256": "e766800d2b2b2c629e84f71e052537045033cb10aa975e02b6c9a655212763c9",
-      "bytes": 341772,
-      "rows": 20,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011105.lean\",\"56fb648b89ed992a6ca803d3c1ef902fccb1da2efef51fd6b4bcd0271fa942f7\",0,\"algebra_484006\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011106.lean\",\"008b16ba3e29c76872d39ea18f5acdb4f23aad1f9760265450e886c02f5b6366\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011107.lean\",\"65738c63bd8bb387753cb17d8cbbd46cad800d77f79074e15abc2e63709e488d\",0,\"lean_workbook_plus_51909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341772,
+      "path": "data/train/p48/oproofs-s00002-r00011104-n000004-0000-e766800d2b2b2c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e766800d2b2b2c629e84f71e052537045033cb10aa975e02b6c9a655212763c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011108-n000004.json b/manifests/batches/oproofs/s00002-r00011108-n000004.json
index f8b9e34b34c04a99d334587267d1bfb0852b8022..6b4616684b144bfebab365cc73614dde845886d2 100644
--- a/manifests/batches/oproofs/s00002-r00011108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011108-n000004",
   "batch_fingerprint": "53898cfe2b4254ba521649074afd97ee1f285bec2b195331f9273417823ccb52",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011108-n000004-0000-95f30794df832f68.parquet",
-      "sha256": "95f30794df832f68321e700aae099df15805d906a34b555751ba243d07f86ef5",
-      "bytes": 120209,
-      "rows": 19,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011108-n000004-0000-a094910777afef3f.parquet",
-      "sha256": "a094910777afef3fe4b496ec96fc770bcc13ce51c915aa37f7e0c6a131b402a2",
-      "bytes": 71838,
-      "rows": 3,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11109",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011109.lean\",\"8403e44c4ae80c3bdf7823102706747ba688aa9bf37520f5e5ed8ab5e8ca0578\",0,\"lean_workbook_plus_57624\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011110.lean\",\"b636c9179958838ec0834e7f14ea3b56d0764f12c02c5f1e72a700e63566adcf\",0,\"lean_workbook_40689\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011111.lean\",\"989d9af4638f70037a268bf9d4472c17a34635c445c0f00a02303788c2db7f44\",0,\"lean_workbook_22106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120209,
+      "path": "data/train/p15/oproofs-s00002-r00011108-n000004-0000-95f30794df832f68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "95f30794df832f68321e700aae099df15805d906a34b555751ba243d07f86ef5"
+    },
+    {
+      "bytes": 71838,
+      "path": "data/dev/p15/oproofs-s00002-r00011108-n000004-0000-a094910777afef3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a094910777afef3fe4b496ec96fc770bcc13ce51c915aa37f7e0c6a131b402a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011112-n000004.json b/manifests/batches/oproofs/s00002-r00011112-n000004.json
index dac150e3b1c4b270c533f5145be2a14ff3e3f68b..81e4ef15d5876581c5d65a4ef07f7990cfdc466a 100644
--- a/manifests/batches/oproofs/s00002-r00011112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011112-n000004",
   "batch_fingerprint": "030dd53158bd0918df573a61742c2c0b3b46d051fb69d0b729ea08eabc9e6fd9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11112",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11113",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11114",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11115"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011112.lean\",\"615be783ba3101b504b3d0ec0671bca58a51557fe25f549647f3a62097d53278\",0,\"lean_workbook_43383\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011113.lean\",\"bfcd0db4be5193ef1659f39f329f687b651b946d3a00560a516b84e5acde3695\",0,\"lean_workbook_plus_63068\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011114.lean\",\"e6f09eab0897f626bd10dec9528218654afa950a71ed9eeb153792552dbc19d5\",0,\"lean_workbook_plus_54775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011115.lean\",\"205c0552f688d1f9dbe889bada0f04fd2fa0de8482ac797c8f0c2c4d806127bb\",0,\"lean_workbook_20990\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011112-n000004-0000-9cf586d9c936540f.parquet",
-      "sha256": "9cf586d9c936540f9c94fb33d1883f8eea3d4d51b9a24cd3eee5a903692d1962",
       "bytes": 47468,
+      "path": "data/train/p4c/oproofs-s00002-r00011112-n000004-0000-9cf586d9c936540f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
+      "sha256": "9cf586d9c936540f9c94fb33d1883f8eea3d4d51b9a24cd3eee5a903692d1962"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011112-n000004-0000-5fe08684f21cdb79.parquet",
-      "sha256": "5fe08684f21cdb796b821c252f7bff0df480dde47f2deab504adcea8bc15730a",
       "bytes": 70674,
+      "path": "data/dev/p4c/oproofs-s00002-r00011112-n000004-0000-5fe08684f21cdb79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
+      "sha256": "5fe08684f21cdb796b821c252f7bff0df480dde47f2deab504adcea8bc15730a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011112-n000004-0000-6b4cc34339406d93.parquet",
-      "sha256": "6b4cc34339406d93cd0d8eaef8526565f5f47e23806755d5c8addfdc61fd1761",
       "bytes": 593606,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00011112-n000004-0000-6b4cc34339406d93.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
+      "sha256": "6b4cc34339406d93cd0d8eaef8526565f5f47e23806755d5c8addfdc61fd1761"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11112",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11113",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11114",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11115"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011112.lean\",\"615be783ba3101b504b3d0ec0671bca58a51557fe25f549647f3a62097d53278\",0,\"lean_workbook_43383\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011113.lean\",\"bfcd0db4be5193ef1659f39f329f687b651b946d3a00560a516b84e5acde3695\",0,\"lean_workbook_plus_63068\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011114.lean\",\"e6f09eab0897f626bd10dec9528218654afa950a71ed9eeb153792552dbc19d5\",0,\"lean_workbook_plus_54775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011115.lean\",\"205c0552f688d1f9dbe889bada0f04fd2fa0de8482ac797c8f0c2c4d806127bb\",0,\"lean_workbook_20990\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011116-n000004.json b/manifests/batches/oproofs/s00002-r00011116-n000004.json
index 35e8b9172d85dc93df4d30f5d82fed8de73949d6..30fae3d4058374a99b8d2a5a3c3db855c89493a6 100644
--- a/manifests/batches/oproofs/s00002-r00011116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011116-n000004",
   "batch_fingerprint": "ee49d8e24bc7eb6bc1b7d486b001c4043a7c36ef2958fa75aa5d9ee15cddf76a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011116-n000004-0000-bfc861a8ce358e23.parquet",
-      "sha256": "bfc861a8ce358e234f91d743826d573cc192b469a18eb5432b11b78ded71ef75",
-      "bytes": 226232,
-      "rows": 10,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011116-n000004-0000-8642d5ecfb9f5e75.parquet",
-      "sha256": "8642d5ecfb9f5e7539702aa90dfcb8eb7fd79e987922a75e6bdfa4fc6ace1dcf",
-      "bytes": 63826,
-      "rows": 7,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011117.lean\",\"eb1c68685374186844b2c664e32b064180bff2de8d43fc927895b6c50e1a9b3d\",0,\"lean_workbook_plus_37012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011118.lean\",\"297bb03a52849c8ed2faa21ab80c15be0baf899e546b194f6adee4378c930d52\",0,\"lean_workbook_plus_33737\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011119.lean\",\"cbabb8222d76865bbb47ee134afeb5bab46b8bf3b85294624aee34e01a7dfae1\",0,\"lean_workbook_plus_43686\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226232,
+      "path": "data/train/p53/oproofs-s00002-r00011116-n000004-0000-bfc861a8ce358e23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "bfc861a8ce358e234f91d743826d573cc192b469a18eb5432b11b78ded71ef75"
+    },
+    {
+      "bytes": 63826,
+      "path": "data/internal_test/p53/oproofs-s00002-r00011116-n000004-0000-8642d5ecfb9f5e75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "8642d5ecfb9f5e7539702aa90dfcb8eb7fd79e987922a75e6bdfa4fc6ace1dcf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011120-n000004.json b/manifests/batches/oproofs/s00002-r00011120-n000004.json
index 7ba4297253ca75ccb929850e16665b08c8ce336b..ae1d0a49133b29e0d0c48368ce2702ac80001471 100644
--- a/manifests/batches/oproofs/s00002-r00011120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011120-n000004",
   "batch_fingerprint": "09ac5ebcf83c4834bee97716cdeb3912a9ad74449c179f290f8d43b26aa0e240",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011120-n000004-0000-5f1a4d69268ffda7.parquet",
-      "sha256": "5f1a4d69268ffda775eb4ccf17ec82f4686fdddea412a147652fc213ab114d2b",
-      "bytes": 79303,
-      "rows": 7,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011120-n000004-0000-12dbace7032094ca.parquet",
-      "sha256": "12dbace7032094ca840849b36092f6c5651a9baf468fe77e3f157652777615bf",
-      "bytes": 181459,
-      "rows": 10,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011121.lean\",\"3e4f40061a0db3a384cf5e295116a3e7e3f52e62a7ea4b8237a96b5e53a171c5\",0,\"lean_workbook_56958\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011122.lean\",\"11ec5395c7f48f4d39e4d1c88a89650246c1f78a207ad58b7db1665561320319\",0,\"lean_workbook_46253\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011123.lean\",\"575e5ed742f6792f1bdfbdf5d7df3713fa65a64539def10b6a627ac9b16743c4\",0,\"lean_workbook_20807\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79303,
+      "path": "data/train/pa4/oproofs-s00002-r00011120-n000004-0000-5f1a4d69268ffda7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5f1a4d69268ffda775eb4ccf17ec82f4686fdddea412a147652fc213ab114d2b"
+    },
+    {
+      "bytes": 181459,
+      "path": "data/dev/pa4/oproofs-s00002-r00011120-n000004-0000-12dbace7032094ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "12dbace7032094ca840849b36092f6c5651a9baf468fe77e3f157652777615bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011124-n000004.json b/manifests/batches/oproofs/s00002-r00011124-n000004.json
index e85d6944a5cb95cb336d7025c1f37cf1ef08c9f0..e7b9a8f28c7cb133b0b1a0d12f1f11649653114c 100644
--- a/manifests/batches/oproofs/s00002-r00011124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011124-n000004",
   "batch_fingerprint": "9b506327bf52e6acdf7c3b2451160c12e60ef37e274b880a2a3648ca55253c48",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011124-n000004-0000-75b121affb6f7013.parquet",
-      "sha256": "75b121affb6f70130e040544ee06df895ff2c51967684ba354de2a3884e0da30",
-      "bytes": 274465,
-      "rows": 25,
-      "revision": "9127e21c4398e039c960f6922109b5bcfbbc46f8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011125.lean\",\"f94a04b044feb2d8b85e573e921c6225adf152dece472cf2d949a991af6af922\",0,\"lean_workbook_plus_70971\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011126.lean\",\"5c0401117b10e9092e28ffcd14f23c717d6750ffd37d379ace4ae73aa1b6dec9\",0,\"lean_workbook_31470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011127.lean\",\"1bb0e2b0d634aaec2129cff50872796684c7abe9b7f15fd07792fa55559b694b\",0,\"lean_workbook_plus_66819\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274465,
+      "path": "data/train/p80/oproofs-s00002-r00011124-n000004-0000-75b121affb6f7013.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "75b121affb6f70130e040544ee06df895ff2c51967684ba354de2a3884e0da30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011128-n000004.json b/manifests/batches/oproofs/s00002-r00011128-n000004.json
index 270e256ded2c036d84b90adb39ff22e9bb58e4c0..4d6dbbeaebcc309c006ca48061352f98d2ceba32 100644
--- a/manifests/batches/oproofs/s00002-r00011128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011128-n000004",
   "batch_fingerprint": "c8dd2786566039810bc9404d9b20be522d9e406e4851c919b0bb53909c34f2a0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011128-n000004-0000-7674ce61dc988b6f.parquet",
-      "sha256": "7674ce61dc988b6f52253f1bd1d4925463ffc43067c92df5169b15c96f7e294e",
-      "bytes": 824546,
-      "rows": 35,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11129",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011129.lean\",\"75b38e606916c55f65e5e01d02bb08f66f50f50c5eff1893e4e6d46ec66f0291\",0,\"lean_workbook_plus_37521\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011130.lean\",\"87f9c1c1239ae3d29ee1e4f73937e6f01fe1ce6f0de896712ebdcb7dfedcf1de\",0,\"lean_workbook_35332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011131.lean\",\"b7c3a0ce3351d315e39b93d1fea3d1d28ed2706efb244db6693456c200e046d7\",0,\"lean_workbook_plus_59762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 824546,
+      "path": "data/train/pf8/oproofs-s00002-r00011128-n000004-0000-7674ce61dc988b6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 35,
+      "sha256": "7674ce61dc988b6f52253f1bd1d4925463ffc43067c92df5169b15c96f7e294e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011132-n000004.json b/manifests/batches/oproofs/s00002-r00011132-n000004.json
index f5dd5c4ce8af2104e8a35226975cf5514aeb77cd..e98a68f2ec7fb7315d8f68de1170aec3585b328c 100644
--- a/manifests/batches/oproofs/s00002-r00011132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011132-n000004",
   "batch_fingerprint": "2602f1406843801d7b2c138b2f3ff2896553bc5c5685fa5d80784c99fa982628",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011132-n000004-0000-f59ad864e21e853f.parquet",
-      "sha256": "f59ad864e21e853fa88f72b75e772b0f5e0fcd0c63a3e4f81467d716778e3062",
-      "bytes": 558619,
-      "rows": 15,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011132-n000004-0000-ad96b1e150742920.parquet",
-      "sha256": "ad96b1e1507429204851651a5906ca60bf8d211024a2d9232cb4c7d6a93a8fa0",
-      "bytes": 205369,
-      "rows": 9,
-      "revision": "341b1422cdfc9b249fb9af667a531c513654af88"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011133.lean\",\"8b02414bbf81b34a7d7fea946a76d40b981978f982e047bff5ad5d4b6c96c206\",0,\"lean_workbook_plus_31117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011134.lean\",\"3c0ad98166a1a5388902d40c9d47f78ab161e33215ec498a543d997e6fb1820d\",0,\"lean_workbook_12595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011135.lean\",\"309fb84289b80c69ac79a07c0cc8c6da11b0ecdf896498581ca7c0c2ff086e67\",0,\"lean_workbook_plus_36251\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558619,
+      "path": "data/train/p4a/oproofs-s00002-r00011132-n000004-0000-f59ad864e21e853f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f59ad864e21e853fa88f72b75e772b0f5e0fcd0c63a3e4f81467d716778e3062"
+    },
+    {
+      "bytes": 205369,
+      "path": "data/internal_test/p4a/oproofs-s00002-r00011132-n000004-0000-ad96b1e150742920.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ad96b1e1507429204851651a5906ca60bf8d211024a2d9232cb4c7d6a93a8fa0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011136-n000004.json b/manifests/batches/oproofs/s00002-r00011136-n000004.json
index a969ca9c708399383bfbd0d3d555739b70d9b677..b00bb52d03e3eab04f3f73dfa078927766e48a35 100644
--- a/manifests/batches/oproofs/s00002-r00011136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011136-n000004",
   "batch_fingerprint": "0fa90af6feb9c1d0c74871c708b5088510ccf7e3ffde1477d3d5f430e2201cb5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011136-n000004-0000-3ec07a7c9c6bd6da.parquet",
-      "sha256": "3ec07a7c9c6bd6da58538cab4720a655a85a5eae770f045ff9da560383474f7f",
-      "bytes": 686683,
-      "rows": 16,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011136-n000004-0000-cbc651452c12c746.parquet",
-      "sha256": "cbc651452c12c7464aa266a4e0de0f50a3c9800df9ddb01b982ece3ff64b9b1a",
-      "bytes": 97229,
-      "rows": 3,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011137.lean\",\"9c35cc54c5cfa6879a46f92ec900970974b1f5a19ecbe1f50b32251649618250\",0,\"positive\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011138.lean\",\"019fe5152d0bd2e2c7c770627098ea80e4918e186e7cebb67906a26705b13185\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011139.lean\",\"ba9b907b427628b04fb155972c9b09ad7b65b4e854b07535d6d85b1a99a19aff\",0,\"StrictMonoFunction\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686683,
+      "path": "data/train/p2d/oproofs-s00002-r00011136-n000004-0000-3ec07a7c9c6bd6da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3ec07a7c9c6bd6da58538cab4720a655a85a5eae770f045ff9da560383474f7f"
+    },
+    {
+      "bytes": 97229,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00011136-n000004-0000-cbc651452c12c746.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cbc651452c12c7464aa266a4e0de0f50a3c9800df9ddb01b982ece3ff64b9b1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011140-n000004.json b/manifests/batches/oproofs/s00002-r00011140-n000004.json
index 371286a9fd8fbd1f0d17b07d8ca81df34ca17fc9..96625285941ac439d7b3d5629d9da513c8143c93 100644
--- a/manifests/batches/oproofs/s00002-r00011140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011140-n000004",
   "batch_fingerprint": "89c690119de286677036ec8bba7ed08ac1c71a1cfbbe0f166c082babc1068e73",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011140-n000004-0000-9eeea68e99715c26.parquet",
-      "sha256": "9eeea68e99715c262f9cc3b55ec3ea52970e1b4b112f1ed02f7434dcc6262047",
-      "bytes": 754998,
-      "rows": 7,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011140-n000004-0001-c17bed97b11c3110.parquet",
-      "sha256": "c17bed97b11c3110f341b91aea9687bd98f40ed305aed2732d1c46ecc06ce44b",
-      "bytes": 187660,
-      "rows": 4,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011141.lean\",\"75e8484038541a20ede410b2915c107f5a370a6dd0e150a2fc960139e44ac7eb\",0,\"no_integer_solutions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011142.lean\",\"66abdd2bfa2544469d771a1fb5a65f3f9fdfcc1f291b0dd3e4f4191d844692bc\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011143.lean\",\"64701a04cffe12313fb9100eca905c9ee12abd2264481125247cabe2fd45fe28\",0,\"sumOfCubicPolynomial\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 754998,
+      "path": "data/train/p58/oproofs-s00002-r00011140-n000004-0000-9eeea68e99715c26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9eeea68e99715c262f9cc3b55ec3ea52970e1b4b112f1ed02f7434dcc6262047"
+    },
+    {
+      "bytes": 187660,
+      "path": "data/train/p58/oproofs-s00002-r00011140-n000004-0001-c17bed97b11c3110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c17bed97b11c3110f341b91aea9687bd98f40ed305aed2732d1c46ecc06ce44b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011144-n000004.json b/manifests/batches/oproofs/s00002-r00011144-n000004.json
index abcbc14ff0d8657a7d760ff3cdd10bfb3bb36821..94805718c216f6255c70d5ef29dd7eafdcffe5d5 100644
--- a/manifests/batches/oproofs/s00002-r00011144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011144-n000004",
   "batch_fingerprint": "16b1965701f534f0d7344e2ab685f2b4e62d045a4903e6d52b8c464df9dafdea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011144-n000004-0000-462dc240b84262b1.parquet",
-      "sha256": "462dc240b84262b1df308ed6ad840d7586e17e88b1492d57a0f09b87277f41f3",
-      "bytes": 223968,
-      "rows": 15,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011144-n000004-0000-c6fd2c4560113f8d.parquet",
-      "sha256": "c6fd2c4560113f8df13a67efc2865e012a8d8ab88cc9f87777054b6b0ecc7934",
-      "bytes": 113509,
-      "rows": 4,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011145.lean\",\"f9380dc7f9ab3c0df007d70b8186efeab209ee61fe44359641ce8120929640ed\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011146.lean\",\"4a553c6108ea5b814942eabc368c6a25d1a1d57d448cb6a383a478b82144a4e3\",0,\"distInt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011147.lean\",\"28ad27848e217a6c96793ddcf22e422a7797666a9a21b41858ed223be7d6682f\",0,\"sum_of_roots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223968,
+      "path": "data/train/p92/oproofs-s00002-r00011144-n000004-0000-462dc240b84262b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "462dc240b84262b1df308ed6ad840d7586e17e88b1492d57a0f09b87277f41f3"
+    },
+    {
+      "bytes": 113509,
+      "path": "data/internal_test/p92/oproofs-s00002-r00011144-n000004-0000-c6fd2c4560113f8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c6fd2c4560113f8df13a67efc2865e012a8d8ab88cc9f87777054b6b0ecc7934"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011148-n000004.json b/manifests/batches/oproofs/s00002-r00011148-n000004.json
index 060129abfff7e87dc57d1f18578fa1b6c810d28e..22654f068852f097c1103b5739881cf2ffb24ec5 100644
--- a/manifests/batches/oproofs/s00002-r00011148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011148-n000004",
   "batch_fingerprint": "9cc88ca8745dcacfdbea8b9acc43d5bf8cacdfd91729d98c96969f37287db8b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011148-n000004-0000-40531eb268c0021c.parquet",
-      "sha256": "40531eb268c0021c8fee7fea088114013b43f59ccc29044f3f1ae20bfe2c98d3",
-      "bytes": 858898,
-      "rows": 21,
-      "revision": "8cd17dfee93d00bc589a4fcf0ff55e433fb4d3da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011149.lean\",\"50d8d8371464d89baf3a15a25505b5a13ac8744ffb22458aacc892e0a177b60a\",0,\"algebra_486524\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011150.lean\",\"980108ff8dde3dd0964eab1b9807416a5173614949a3c40d6f2a11b44f5b7896\",0,\"algebra_508587\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011151.lean\",\"224a2738e706c1d245d2055a0fd091082ba549336564df9a9e139a7902898546\",0,\"algebra_268182\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 858898,
+      "path": "data/train/p4b/oproofs-s00002-r00011148-n000004-0000-40531eb268c0021c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "40531eb268c0021c8fee7fea088114013b43f59ccc29044f3f1ae20bfe2c98d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011152-n000004.json b/manifests/batches/oproofs/s00002-r00011152-n000004.json
index 31a2883730387f1a7d6ad1756a76849716a072bd..de745fc084cac9f6404e1a73fa55ad69bf2c493f 100644
--- a/manifests/batches/oproofs/s00002-r00011152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011152-n000004",
   "batch_fingerprint": "b9fcf5677ea0f4d4ad45d5bd7b30149453868885784f8e888d34924fb33878e2",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011152-n000004-0000-63f785207d805209.parquet",
-      "sha256": "63f785207d805209007b0fa66fc7b6a8aa6c269b99149b91db13db9ddf1fc2a8",
-      "bytes": 352143,
-      "rows": 11,
-      "revision": "8cd17dfee93d00bc589a4fcf0ff55e433fb4d3da"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011152-n000004-0000-0c2ce0a37ccc8439.parquet",
-      "sha256": "0c2ce0a37ccc8439d87000aa69eb6301ac9652835606d3abdc1c2fff6b9718c4",
-      "bytes": 257619,
-      "rows": 4,
-      "revision": "8cd17dfee93d00bc589a4fcf0ff55e433fb4d3da"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11153",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011152.lean\",\"0c62f009d6230832b3cde0b21af56eaf38c5d6b3e05bfafd49f8b16141df8b21\",0,\"algebra_486972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011153.lean\",\"e988b277c45d6b9fe4613a28e129a1be32ea1c3244ff067ba2b088fb8550ca09\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011154.lean\",\"aa0314b73894b26010048c8ebb9795f1e315ba83c6edbc9937b9295e2f86e44a\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352143,
+      "path": "data/train/pc9/oproofs-s00002-r00011152-n000004-0000-63f785207d805209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "63f785207d805209007b0fa66fc7b6a8aa6c269b99149b91db13db9ddf1fc2a8"
+    },
+    {
+      "bytes": 257619,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00011152-n000004-0000-0c2ce0a37ccc8439.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0c2ce0a37ccc8439d87000aa69eb6301ac9652835606d3abdc1c2fff6b9718c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011156-n000004.json b/manifests/batches/oproofs/s00002-r00011156-n000004.json
index 386ba81bfa8b24bd33e7ae35af38327b6729a8df..5cef5ab919eb5a1158ac4467eeb14e8f6f82596c 100644
--- a/manifests/batches/oproofs/s00002-r00011156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011156-n000004",
   "batch_fingerprint": "ea32e19007f6f61ce3976e05038e64a4f14a94d9c2c90a21fc4051a6f77c62d2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011156-n000004-0000-1f4f125a5d8ca4bf.parquet",
-      "sha256": "1f4f125a5d8ca4bfc8df7a14c0714850ca51bc53431acb2bc8f4d3fcdd46bac9",
-      "bytes": 709667,
-      "rows": 22,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11157",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011157.lean\",\"e3b6cbefb764f3b741113ddfab0c33dc2375b67c15f3ff711f49405b321b53f4\",0,\"Real_nonneg\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011158.lean\",\"1240f19d14fa096edb2c0b3a20c9665643c1a8b45ec516f8191ad322622d4006\",0,\"algebra_456079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011159.lean\",\"4a47dbe8dbf9958725d341018ea43a44905bab3c67afe9cab79f631bd06bfc61\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 709667,
+      "path": "data/train/p27/oproofs-s00002-r00011156-n000004-0000-1f4f125a5d8ca4bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "1f4f125a5d8ca4bfc8df7a14c0714850ca51bc53431acb2bc8f4d3fcdd46bac9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011160-n000004.json b/manifests/batches/oproofs/s00002-r00011160-n000004.json
index 872b3141fd03642200bc1f66e07cac7d3023fb87..5a8d57f409475e89c31f7c0667ab52d80c6f71ca 100644
--- a/manifests/batches/oproofs/s00002-r00011160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011160-n000004",
   "batch_fingerprint": "abe5d9db7cf69b39dfaaec99523aa52f863416a1ad183950fdff5b1e2ae7eeae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011160-n000004-0000-537866532ccad2f1.parquet",
-      "sha256": "537866532ccad2f13317062da354bce9ad9177a52614d529c0d94a8669aafafb",
-      "bytes": 332543,
-      "rows": 12,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011161.lean\",\"1fb3bfc1601da94ce8ae5101e7c73675bb49f1db73a22d742b20e615e84baf4d\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011162.lean\",\"69cdfdac46f8eb5c9482e9d38ec2c1076fd2d069193407f8f5591da6cdcd0602\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011163.lean\",\"c5085fe5377594af2099297311cdf988e7bb9b26067b6dd239f8fb4c9d908fa5\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332543,
+      "path": "data/train/pd8/oproofs-s00002-r00011160-n000004-0000-537866532ccad2f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "537866532ccad2f13317062da354bce9ad9177a52614d529c0d94a8669aafafb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011164-n000004.json b/manifests/batches/oproofs/s00002-r00011164-n000004.json
index 4042dddb882d1a1053a208413e997aa7a3d39908..1dbbe961aa6e5aff16b88c55351a056dcbd7e01d 100644
--- a/manifests/batches/oproofs/s00002-r00011164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011164-n000004",
   "batch_fingerprint": "d7400f2ddd078f90b7cc8fd4e5408e35a012e8c556cf4db94f7beb11c05b16c3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011164-n000004-0000-59764b4df923a2e5.parquet",
-      "sha256": "59764b4df923a2e51e8bf73453f10e995d5a7cc335949c233ee7774e1810dcfd",
-      "bytes": 1274130,
-      "rows": 19,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011164-n000004-0001-bd86bae20bb011e4.parquet",
-      "sha256": "bd86bae20bb011e44283b7a6e2d658a353ab35ef7bec7ee44c33985043222ed6",
-      "bytes": 716792,
-      "rows": 3,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11165",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011165.lean\",\"f57dec2851b1b04aabd51da13f021546519e3d08554f5cc807eca40e4d76c5cc\",0,\"algebra_456484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011166.lean\",\"153a7203bd6fdbbc30a25f6e37ca47c5319e3f10bc11ac014cc19fa4f814be6b\",0,\"algebra_457910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011167.lean\",\"0f9dd27b0349a90eaf2040ae0dfd7396f82b5371e5baa16ff164fe7d0d21208c\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1274130,
+      "path": "data/train/pbd/oproofs-s00002-r00011164-n000004-0000-59764b4df923a2e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "59764b4df923a2e51e8bf73453f10e995d5a7cc335949c233ee7774e1810dcfd"
+    },
+    {
+      "bytes": 716792,
+      "path": "data/train/pbd/oproofs-s00002-r00011164-n000004-0001-bd86bae20bb011e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "bd86bae20bb011e44283b7a6e2d658a353ab35ef7bec7ee44c33985043222ed6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011168-n000004.json b/manifests/batches/oproofs/s00002-r00011168-n000004.json
index 460738b73221e69bd452b5bdcf040116a59a2458..d8f9c1a5323203e2df5cdc954672584f9aee7680 100644
--- a/manifests/batches/oproofs/s00002-r00011168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011168-n000004",
   "batch_fingerprint": "351eaaef27b6577db0dfc19708fee7659aad01d92ecfcf2b7f5fe85c3138963f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011168-n000004-0000-804565661f1ed303.parquet",
-      "sha256": "804565661f1ed303448096278e8f659accd7dda328e12e7bab6c18d829b9dfc6",
-      "bytes": 1433265,
-      "rows": 18,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011168-n000004-0001-56e29111cc863ef0.parquet",
-      "sha256": "56e29111cc863ef07c64655a7c55ea7caac88c5af804ba70bf6c4e7ce125ed06",
-      "bytes": 1198168,
-      "rows": 13,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11169",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011169.lean\",\"fb747175f7d96e459ebcc3ea17a2f16d9acd4f2038019edcddf3a9e07ad94c9e\",0,\"inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011170.lean\",\"edc9c5cf4a66ca50481df1c4bd4c59dcabe3e2b2c01d01381f37d46b7cd73b3e\",0,\"lean_workbook_plus_51909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011171.lean\",\"8b69f806438a2963eab0fde9adb7df24e0cae5d28fc5d7f6eae11207d5388209\",0,\"lean_workbook_plus_78524\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1433265,
+      "path": "data/train/p4a/oproofs-s00002-r00011168-n000004-0000-804565661f1ed303.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "804565661f1ed303448096278e8f659accd7dda328e12e7bab6c18d829b9dfc6"
+    },
+    {
+      "bytes": 1198168,
+      "path": "data/train/p4a/oproofs-s00002-r00011168-n000004-0001-56e29111cc863ef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "56e29111cc863ef07c64655a7c55ea7caac88c5af804ba70bf6c4e7ce125ed06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011172-n000004.json b/manifests/batches/oproofs/s00002-r00011172-n000004.json
index fb7ccbde329c954eb75361262b185c4fd2414619..3094e9f33df3201a7792f86a193a44ac4ad42d9d 100644
--- a/manifests/batches/oproofs/s00002-r00011172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011172-n000004",
   "batch_fingerprint": "d2797aaf0c2f15cb09f1bb668d20fba817d86505f1bd1cc151705b2f8056020d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11172",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11173",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11174",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11175"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011172.lean\",\"6635fb98029e243339e6ce5852add10941aca471c0b458fcb207d017c890401b\",0,\"lean_workbook_43383\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011173.lean\",\"6a12bc9d732ff631c8d1136de25dd307a1dda9e583649159c0f1e275644ea805\",0,\"lean_workbook_plus_54775\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011174.lean\",\"4ce5f0c7eaa6329047760405e4f395c9bc0e9935050c6b7d6199b8a9eacf2225\",0,\"lean_workbook_20990\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011175.lean\",\"35b62a61225473d20c1c8b97574eedc76b54729fe79f3a4ec0bc888e731260a2\",0,\"lean_workbook_plus_69777\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011172-n000004-0000-843c1f9296e86758.parquet",
-      "sha256": "843c1f9296e8675809d3d3197a54da0aceea0749f32bafe2920fa3cb5850386f",
       "bytes": 64246,
+      "path": "data/train/p88/oproofs-s00002-r00011172-n000004-0000-843c1f9296e86758.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "843c1f9296e8675809d3d3197a54da0aceea0749f32bafe2920fa3cb5850386f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011172-n000004-0000-abd0964d5a53da20.parquet",
-      "sha256": "abd0964d5a53da20d07a7df01e112e6af00de8dd481803e09371183e8f9261ca",
       "bytes": 56756,
+      "path": "data/dev/p88/oproofs-s00002-r00011172-n000004-0000-abd0964d5a53da20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "abd0964d5a53da20d07a7df01e112e6af00de8dd481803e09371183e8f9261ca"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011172-n000004-0000-046536b91b8ca087.parquet",
-      "sha256": "046536b91b8ca08718566bbd07fbd46c86d2519ae73ce06c8ee4f13e5312321e",
       "bytes": 120243,
+      "path": "data/internal_test/p88/oproofs-s00002-r00011172-n000004-0000-046536b91b8ca087.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "046536b91b8ca08718566bbd07fbd46c86d2519ae73ce06c8ee4f13e5312321e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11172",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11173",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11174",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11175"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011172.lean\",\"6635fb98029e243339e6ce5852add10941aca471c0b458fcb207d017c890401b\",0,\"lean_workbook_43383\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011173.lean\",\"6a12bc9d732ff631c8d1136de25dd307a1dda9e583649159c0f1e275644ea805\",0,\"lean_workbook_plus_54775\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011174.lean\",\"4ce5f0c7eaa6329047760405e4f395c9bc0e9935050c6b7d6199b8a9eacf2225\",0,\"lean_workbook_20990\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011175.lean\",\"35b62a61225473d20c1c8b97574eedc76b54729fe79f3a4ec0bc888e731260a2\",0,\"lean_workbook_plus_69777\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011176-n000004.json b/manifests/batches/oproofs/s00002-r00011176-n000004.json
index c23cc2dbda2de90895f13e48efd2fca1a20f30c8..2b51232a910309378720a5698b410dc12d3c54b6 100644
--- a/manifests/batches/oproofs/s00002-r00011176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011176-n000004",
   "batch_fingerprint": "81aa6473a526963b894a6ac8c81739497b58abfb8ff23303ff74b5bb10c77f2a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11176",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11177",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11178",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11179"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011176.lean\",\"34c97f8511caee0c511f637e3ac0d166643390a580a8bd289f0c5fa196e5a7b1\",0,\"lean_workbook_plus_57624\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011177.lean\",\"c2366010fa6e85920b51c315a8a56b31b7eb2fedb2ed07f6c480077bcc97b233\",0,\"lean_workbook_40689\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011178.lean\",\"156ad234a9c118c0296f276997dd02d266cac96a6ed69f2d07cd6efe6d832342\",0,\"lean_workbook_22106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011179.lean\",\"000c7327821234adef8b6ab20786615251e2f4f9b5bdbdfdf4b28870ca95a4f5\",0,\"lean_workbook_plus_33737\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011176-n000004-0000-2bd8a6a54670ce21.parquet",
-      "sha256": "2bd8a6a54670ce21cd9e87b30e57b8dbb18adfc28efd7bdc80291fa09a091b2c",
       "bytes": 104356,
+      "path": "data/train/p15/oproofs-s00002-r00011176-n000004-0000-2bd8a6a54670ce21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "2bd8a6a54670ce21cd9e87b30e57b8dbb18adfc28efd7bdc80291fa09a091b2c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011176-n000004-0000-9c25c9c05dd998eb.parquet",
-      "sha256": "9c25c9c05dd998eb59a046458a0e273d5737b0dc4e3e7476da5c5d3c9de0ea47",
       "bytes": 74379,
+      "path": "data/dev/p15/oproofs-s00002-r00011176-n000004-0000-9c25c9c05dd998eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "9c25c9c05dd998eb59a046458a0e273d5737b0dc4e3e7476da5c5d3c9de0ea47"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011176-n000004-0000-ea3f8f2d1dcf7de8.parquet",
-      "sha256": "ea3f8f2d1dcf7de873a4bf3c7472d83e39f0b8db8ecab4cdfe8bbc655fed041d",
       "bytes": 63700,
+      "path": "data/internal_test/p15/oproofs-s00002-r00011176-n000004-0000-ea3f8f2d1dcf7de8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "ea3f8f2d1dcf7de873a4bf3c7472d83e39f0b8db8ecab4cdfe8bbc655fed041d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11176",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11177",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11178",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11179"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011176.lean\",\"34c97f8511caee0c511f637e3ac0d166643390a580a8bd289f0c5fa196e5a7b1\",0,\"lean_workbook_plus_57624\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011177.lean\",\"c2366010fa6e85920b51c315a8a56b31b7eb2fedb2ed07f6c480077bcc97b233\",0,\"lean_workbook_40689\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011178.lean\",\"156ad234a9c118c0296f276997dd02d266cac96a6ed69f2d07cd6efe6d832342\",0,\"lean_workbook_22106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011179.lean\",\"000c7327821234adef8b6ab20786615251e2f4f9b5bdbdfdf4b28870ca95a4f5\",0,\"lean_workbook_plus_33737\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011180-n000004.json b/manifests/batches/oproofs/s00002-r00011180-n000004.json
index bb52b11c62dac3b62705751371a9338ac7b83564..6f0ef9904f23167a22867513e25e846b1a7a6279 100644
--- a/manifests/batches/oproofs/s00002-r00011180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011180-n000004",
   "batch_fingerprint": "683f378c4ddfc889801874fef12741b427a9ffb0364299b054d0bcfab30a00d5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011180-n000004-0000-f6251f38faeea429.parquet",
-      "sha256": "f6251f38faeea429509f6637aa5aeeadf13a2ba3b0792d96e4da70ab686499cc",
-      "bytes": 85012,
-      "rows": 13,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011180-n000004-0000-46a951795b52a102.parquet",
-      "sha256": "46a951795b52a102b41a892fd3e74c7b205d00be7dbe0c9f7d0a2eaf3cb6bb41",
-      "bytes": 85687,
-      "rows": 6,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011181.lean\",\"c356ae52081250fe6739b9f2bd95be5ca479bf49dd6dbc45ec0557518fdcb7a8\",0,\"button_probability_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011182.lean\",\"de2bde98cf624b7366359697468dc85be4b50e6875077eb4c5cb13d1d2fb3126\",0,\"lean_workbook_56958\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011183.lean\",\"44127a6cb5c18f5e5d006bfe510b0716eb4fde77267b869d219cbd8e73cb6451\",0,\"lean_workbook_plus_48829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85012,
+      "path": "data/train/p11/oproofs-s00002-r00011180-n000004-0000-f6251f38faeea429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f6251f38faeea429509f6637aa5aeeadf13a2ba3b0792d96e4da70ab686499cc"
+    },
+    {
+      "bytes": 85687,
+      "path": "data/dev/p11/oproofs-s00002-r00011180-n000004-0000-46a951795b52a102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "46a951795b52a102b41a892fd3e74c7b205d00be7dbe0c9f7d0a2eaf3cb6bb41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011184-n000004.json b/manifests/batches/oproofs/s00002-r00011184-n000004.json
index afd9d822cb8becc896eb3a146b7a6367b3c6435e..2e53284a406ac51c3c4edfdb7ae16592dbb62ec1 100644
--- a/manifests/batches/oproofs/s00002-r00011184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011184-n000004",
   "batch_fingerprint": "9a6332bc06e44bdb89a143ae1cd69bdf9e97a763ac3828b4763f75bba4b9f2c5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011184-n000004-0000-81aecda4f890b316.parquet",
-      "sha256": "81aecda4f890b31694b313ba0ca07deeae09caa506929b6894d5f7043219a094",
-      "bytes": 239479,
-      "rows": 23,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011184-n000004-0000-13d1fd827ed0ffc8.parquet",
-      "sha256": "13d1fd827ed0ffc8e22b5618c16d814efb2b559fc262ad45ee985191748f3739",
-      "bytes": 68054,
-      "rows": 3,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011185.lean\",\"a8c303125a3cb65a471821a4c4fb97172766bea288d3b73918840430ba4988f4\",0,\"lean_workbook_20807\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011186.lean\",\"6f9e38154a308c66995c08d97bcc838b9279c9f6d07144b4bb38146906525800\",0,\"lean_workbook_31470\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011187.lean\",\"0f47d5d576dd02402d68f3c395516694a1d0e2d64e423217b0186b2186831104\",0,\"lean_workbook_plus_70971\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 239479,
+      "path": "data/train/p81/oproofs-s00002-r00011184-n000004-0000-81aecda4f890b316.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "81aecda4f890b31694b313ba0ca07deeae09caa506929b6894d5f7043219a094"
+    },
+    {
+      "bytes": 68054,
+      "path": "data/dev/p81/oproofs-s00002-r00011184-n000004-0000-13d1fd827ed0ffc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "13d1fd827ed0ffc8e22b5618c16d814efb2b559fc262ad45ee985191748f3739"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011188-n000004.json b/manifests/batches/oproofs/s00002-r00011188-n000004.json
index 13955f1f0af6de8de16bbbcf15938fb665a279db..f194fec14529c9d8f8cc6b7a2fdf2c1842230377 100644
--- a/manifests/batches/oproofs/s00002-r00011188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011188-n000004",
   "batch_fingerprint": "efc62c54801693a01365ebcdc34db4afe3773f287a741a106bcb4d28aa0280f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011188-n000004-0000-498ee4637a4eed9d.parquet",
-      "sha256": "498ee4637a4eed9d585422affc2a6891874cabc8016a7642f41bd78b2e4fc879",
-      "bytes": 543923,
-      "rows": 36,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011189.lean\",\"547c46e054fbd8d3a39fca8b4af330fadb8e2603dfd3a82f93615c6c99265e02\",0,\"lean_workbook_plus_31906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011190.lean\",\"c7334a0904a36fbab72f5d6c42f779708575e8d567363a57f63007c5f3146bab\",0,\"lean_workbook_plus_66819\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011191.lean\",\"fd72e7914e53e805bd9af44b649dce719d3ea29ad30a6b02a957b07dd45e7f57\",0,\"lean_workbook_plus_37521\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 543923,
+      "path": "data/train/pfe/oproofs-s00002-r00011188-n000004-0000-498ee4637a4eed9d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "498ee4637a4eed9d585422affc2a6891874cabc8016a7642f41bd78b2e4fc879"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011192-n000004.json b/manifests/batches/oproofs/s00002-r00011192-n000004.json
index 41e57d22f4cc2db15b2e36c63ad128b904077c1a..78509c2847e11271a4bb1e4535d40c0b7abf65e0 100644
--- a/manifests/batches/oproofs/s00002-r00011192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011192-n000004",
   "batch_fingerprint": "6fb351dde02a055aafd74ec3c6e944010f5ba194e099d84ea0489748a4d66c73",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11192",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11193",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11194",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11195"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011192.lean\",\"03d93dc58dfd0d34bca31a99fa574798715e22c57297be1fdbe8560ca161cdec\",0,\"lean_workbook_plus_31117\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011193.lean\",\"f39d7580b5d38d94d632e24ffb5bb8cd78f2fe4cc3390b40ce5ad6f408d28263\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011194.lean\",\"6fce9137efbdde0f6f06d4b3885f949e3a9d881f5f0556a15d3d217ac912aa84\",0,\"lean_workbook_plus_52834\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011195.lean\",\"8c1f98f75cea590535164ea1ecba46ee9fc6726713ff2b15228e8167022f3af2\",0,\"lean_workbook_plus_17335\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011192-n000004-0000-facc0e26a44f0419.parquet",
-      "sha256": "facc0e26a44f04194a42db050fc1db12526187a73db849f81b433c7d2ddcfd06",
       "bytes": 786965,
+      "path": "data/train/p04/oproofs-s00002-r00011192-n000004-0000-facc0e26a44f0419.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "facc0e26a44f04194a42db050fc1db12526187a73db849f81b433c7d2ddcfd06"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011192-n000004-0001-848f376a9d93fcbe.parquet",
-      "sha256": "848f376a9d93fcbe9ceb0693baf501631094edc963d926613a080d6794ac8792",
       "bytes": 66414,
+      "path": "data/train/p04/oproofs-s00002-r00011192-n000004-0001-848f376a9d93fcbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "848f376a9d93fcbe9ceb0693baf501631094edc963d926613a080d6794ac8792"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011192-n000004-0000-6024d2d4f0aa07d6.parquet",
-      "sha256": "6024d2d4f0aa07d6bb407b336ae01851e32850066d75f875f04d04252545ebef",
       "bytes": 150699,
+      "path": "data/internal_test/p04/oproofs-s00002-r00011192-n000004-0000-6024d2d4f0aa07d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
+      "sha256": "6024d2d4f0aa07d6bb407b336ae01851e32850066d75f875f04d04252545ebef"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11192",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11193",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11194",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11195"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011192.lean\",\"03d93dc58dfd0d34bca31a99fa574798715e22c57297be1fdbe8560ca161cdec\",0,\"lean_workbook_plus_31117\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011193.lean\",\"f39d7580b5d38d94d632e24ffb5bb8cd78f2fe4cc3390b40ce5ad6f408d28263\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011194.lean\",\"6fce9137efbdde0f6f06d4b3885f949e3a9d881f5f0556a15d3d217ac912aa84\",0,\"lean_workbook_plus_52834\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011195.lean\",\"8c1f98f75cea590535164ea1ecba46ee9fc6726713ff2b15228e8167022f3af2\",0,\"lean_workbook_plus_17335\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011196-n000004.json b/manifests/batches/oproofs/s00002-r00011196-n000004.json
index 63afb41425f6992bdeb48e0b86c22a2680d20db7..4e7cc7b05c1a924be4d4506fa7e75c44f651f7b7 100644
--- a/manifests/batches/oproofs/s00002-r00011196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011196-n000004",
   "batch_fingerprint": "5c1747f290c7e95ccc788bda986b0cf507b1b39fe16e53c13e12c626d6517276",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011196-n000004-0000-13ff16bf04945932.parquet",
-      "sha256": "13ff16bf049459323b4335fc1e8df43675a11bbfea9a8ac1a806716db1e121fe",
-      "bytes": 648551,
-      "rows": 19,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011197.lean\",\"13bad477163314250e54e315eb0893a8f1a0eed1b2f6ed48d8421316979b040f\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011198.lean\",\"6e59e9d8ecc6a0e4ce36e79a7157a8c7e799515e684eb4eb2fb0073c00d40ce5\",0,\"algebra487039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011199.lean\",\"432f58579976710a41ee3dfbe31856b823cabb25d83832dee173546bcd70038a\",0,\"Prime_Express\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 648551,
+      "path": "data/train/p69/oproofs-s00002-r00011196-n000004-0000-13ff16bf04945932.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "13ff16bf049459323b4335fc1e8df43675a11bbfea9a8ac1a806716db1e121fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011200-n000004.json b/manifests/batches/oproofs/s00002-r00011200-n000004.json
index c25e550f5de581da4c5c33d3fd38bc3307f6aa9c..7a2259a8a15ea5ae2c94f876bacd0aa24e0b708a 100644
--- a/manifests/batches/oproofs/s00002-r00011200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011200-n000004",
   "batch_fingerprint": "7abf7cdb3403b206844a83383bc01c0227e5fcc4f65d1e7db3996c2d2c78f177",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011200-n000004-0000-a09d40232ddfaff3.parquet",
-      "sha256": "a09d40232ddfaff3ff3e50786b635785dba1b7d033f70e92ba48a04a5fe8fc09",
-      "bytes": 1113454,
-      "rows": 19,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011201.lean\",\"2bfa99a0d0eb9ec38d03c7d685b1507ba904f1c22043bae416e6c6962bd46303\",0,\"positive\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011202.lean\",\"ab0f10bc7411f1d567a193240e144c170b3ea55bebd480605ea7bb44c48335ce\",0,\"sum_of_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011203.lean\",\"e26899cae0ffcba62a725c6a5ff15af8a770fa51d516d8b0ec0cd37fc12138ab\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1113454,
+      "path": "data/train/p89/oproofs-s00002-r00011200-n000004-0000-a09d40232ddfaff3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "a09d40232ddfaff3ff3e50786b635785dba1b7d033f70e92ba48a04a5fe8fc09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011204-n000004.json b/manifests/batches/oproofs/s00002-r00011204-n000004.json
index 34b2b2dc0e46903a8974911e5f7bc98a1580bd62..511701f5a9eeb1ff7a7740c7adc0caa215e5d6bd 100644
--- a/manifests/batches/oproofs/s00002-r00011204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011204-n000004",
   "batch_fingerprint": "cd504ede95a329ecae62cf2337c196ea982386bd6ab45acb9b8ee2cbba352995",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011204-n000004-0000-51dc16475669d859.parquet",
-      "sha256": "51dc16475669d859b4ab27f4c3eb576b3eda70e58fad191cbae25bafdc1bd6d6",
-      "bytes": 263026,
-      "rows": 7,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011204-n000004-0000-80fe2894c8d135e5.parquet",
-      "sha256": "80fe2894c8d135e5b485123ecb1f8a110212a5213f69359b066adb1e57e44c74",
-      "bytes": 69340,
-      "rows": 4,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011205.lean\",\"bce3d1777e84151460eb7915c9a4c07ca87531cff0eac93591584e8cb12cda18\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011206.lean\",\"d32bc4a81003c1945b867774b2894cdd62ef93407a03bc984015f0d358a7d5c0\",0,\"sqrt_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011207.lean\",\"83539872c34a9988f359ae16d4d3fa78e3e095cd48970dd80edadce3c3a6bdc3\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 263026,
+      "path": "data/train/p53/oproofs-s00002-r00011204-n000004-0000-51dc16475669d859.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "51dc16475669d859b4ab27f4c3eb576b3eda70e58fad191cbae25bafdc1bd6d6"
+    },
+    {
+      "bytes": 69340,
+      "path": "data/internal_test/p53/oproofs-s00002-r00011204-n000004-0000-80fe2894c8d135e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "80fe2894c8d135e5b485123ecb1f8a110212a5213f69359b066adb1e57e44c74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011208-n000004.json b/manifests/batches/oproofs/s00002-r00011208-n000004.json
index 6be6d24fd6c352b90e937724c37841a8645b877c..34f0a7f28419e35fffbdd3db381844c48e6ad9c2 100644
--- a/manifests/batches/oproofs/s00002-r00011208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011208-n000004",
   "batch_fingerprint": "4d0c063e4abe264b9fbbe85c159e02dc45968679b001863cb9237cbcbd5cd7a6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011208-n000004-0000-631bf64294e7ef60.parquet",
-      "sha256": "631bf64294e7ef60e48271a6ece19962a59319ec4ad9d36c02138ee31d6e81e8",
-      "bytes": 1186609,
-      "rows": 22,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11209",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011209.lean\",\"6807a95931f0a5e06e5016740400f35d54184797a9e10244e8f5a5042c3203e8\",0,\"algebra_460978\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011210.lean\",\"2b0ca4c010878c11e753ff7308842e444e0fad326a994ef8a77e3153c9cb5f32\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011211.lean\",\"682ff340b06fea6e30a3285d86708acb1a6ae693e8702b8065b4e7290e2b0a8f\",0,\"Real_nonneg\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1186609,
+      "path": "data/train/pb2/oproofs-s00002-r00011208-n000004-0000-631bf64294e7ef60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "631bf64294e7ef60e48271a6ece19962a59319ec4ad9d36c02138ee31d6e81e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011212-n000004.json b/manifests/batches/oproofs/s00002-r00011212-n000004.json
index 09823ce39f73232b2f22a7bdff63ef32770ad65d..aae486d3a2a77d3481beb224db87f77ad97d1eb5 100644
--- a/manifests/batches/oproofs/s00002-r00011212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011212-n000004",
   "batch_fingerprint": "a3a6c76313b6a91a6a1dba328b05ea094b79c2abb7d6ff9a7692fa95a0c1529f",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011212-n000004-0000-3f2a7258bded09b2.parquet",
-      "sha256": "3f2a7258bded09b26563ebb9efb8e34f05c9fa8712ff24373768ef534d4be982",
-      "bytes": 124068,
-      "rows": 5,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011212-n000004-0000-8158a911d1f0f548.parquet",
-      "sha256": "8158a911d1f0f548680ded712dd423558d1256e384a2caaa81a67b72e353b221",
-      "bytes": 51219,
-      "rows": 3,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11213",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11214",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011213.lean\",\"c8c5893064bcfecc8d7dd6123b90ae16e37fff1d87131a512c89a63d53538dcf\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011214.lean\",\"9151238f7b82924ad64018c2eebfd1c15d040c169bcde45f37d2c12fd3ff75a2\",0,\"Noncomm\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011215.lean\",\"a9685a48c6f4c6597a60b41bc83b8469a599b910c61250da75b6d8a87acf9a4e\",0,\"FintypeField\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124068,
+      "path": "data/train/p60/oproofs-s00002-r00011212-n000004-0000-3f2a7258bded09b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3f2a7258bded09b26563ebb9efb8e34f05c9fa8712ff24373768ef534d4be982"
+    },
+    {
+      "bytes": 51219,
+      "path": "data/internal_test/p60/oproofs-s00002-r00011212-n000004-0000-8158a911d1f0f548.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "8158a911d1f0f548680ded712dd423558d1256e384a2caaa81a67b72e353b221"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011216-n000004.json b/manifests/batches/oproofs/s00002-r00011216-n000004.json
index 77ec88e8504182a34ae3427aa25e646c09ea4af4..09339da327862ff1f48d43a3bc059cbaad1c4dd6 100644
--- a/manifests/batches/oproofs/s00002-r00011216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011216-n000004",
   "batch_fingerprint": "4b2743fbe0a037c10d77cdb8cd30da4999c505fc807a903ad5714bed9e449590",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011216-n000004-0000-c1cd61478a6644da.parquet",
-      "sha256": "c1cd61478a6644dad964e3cfb657ad249e74856c961599c7212e665d1a5f6546",
-      "bytes": 267048,
-      "rows": 16,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011216-n000004-0000-cc281f97fad9464f.parquet",
-      "sha256": "cc281f97fad9464f62a16b7bce187e9a1aaeff714a32285d4a602603a83d28ed",
-      "bytes": 966363,
-      "rows": 6,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011217.lean\",\"a6e188b81bb1aed59b9dca4627a1f929042152f7d55f44054d984b297ee1922d\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011218.lean\",\"3887f5d6853fd39e421cb4714ff200c220e62add8293185980c58d8b7378757a\",0,\"algebra_457910\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011219.lean\",\"42600df2a78e1b5f164de91b248bb51390f74a09cb467ebf31acb369d6346ad0\",0,\"algebra_468953\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267048,
+      "path": "data/train/p24/oproofs-s00002-r00011216-n000004-0000-c1cd61478a6644da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c1cd61478a6644dad964e3cfb657ad249e74856c961599c7212e665d1a5f6546"
+    },
+    {
+      "bytes": 966363,
+      "path": "data/dev/p24/oproofs-s00002-r00011216-n000004-0000-cc281f97fad9464f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cc281f97fad9464f62a16b7bce187e9a1aaeff714a32285d4a602603a83d28ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011220-n000004.json b/manifests/batches/oproofs/s00002-r00011220-n000004.json
index 7424cf05a5a940ef8f8a11fc993376fa83c155dc..c62bae5a48ae80d330d58aa25c0d194ac938ffd4 100644
--- a/manifests/batches/oproofs/s00002-r00011220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011220-n000004",
   "batch_fingerprint": "c1349335234737e3cfd747aaa629f8a0c24c53e320128a4a5e90dbe9ec77185c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011220-n000004-0000-86b4dc83d48107ec.parquet",
-      "sha256": "86b4dc83d48107ece837afdd3e6845130100aea4ed3fe09ca7971e1ce30f1872",
-      "bytes": 509340,
-      "rows": 16,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011220-n000004-0000-baed1c8bd5d0c09b.parquet",
-      "sha256": "baed1c8bd5d0c09b0ff3fef6dab4124c8f9f93b030f281b347b5a73b29c06b5f",
-      "bytes": 792047,
-      "rows": 6,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011221.lean\",\"5b6be5f42c3a3c1eba36fcb837882a2c6d163d92fa70a4bf4b67ab6a24027a00\",0,\"algebra_475601\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011222.lean\",\"fa9e2824cc35fbde44aaf46fd38961018fbb5cb708007f9e16d86907bf80d359\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011223.lean\",\"27c07d7f46029e60c0fbd2496a55e989e983efa2fcd56e8e59a44c6860c3f7b6\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 509340,
+      "path": "data/train/p30/oproofs-s00002-r00011220-n000004-0000-86b4dc83d48107ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "86b4dc83d48107ece837afdd3e6845130100aea4ed3fe09ca7971e1ce30f1872"
+    },
+    {
+      "bytes": 792047,
+      "path": "data/internal_test/p30/oproofs-s00002-r00011220-n000004-0000-baed1c8bd5d0c09b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "baed1c8bd5d0c09b0ff3fef6dab4124c8f9f93b030f281b347b5a73b29c06b5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011224-n000004.json b/manifests/batches/oproofs/s00002-r00011224-n000004.json
index efc87aeeea45bb998354b89b0e29a3e32fdb919d..e51a6a158ad905c56ed29c3985877d0109cf6e3a 100644
--- a/manifests/batches/oproofs/s00002-r00011224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011224-n000004",
   "batch_fingerprint": "4370de9a4cc7cd3f282a0ff961a1b2444c0f30f4259c48f40b6cd42380e678c4",
   "evidence": {
@@ -40,37 +39,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11224",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11225",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11226"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011224.lean\",\"1a3a9229a7866f6ba0c140d888a3b25840c4ec6a08c6720caca3cc42f3517a6b\",0,\"inequality\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011225.lean\",\"26c5c3b52d1683b5e66747ae6433b082dd14c33b1fe67899e9f870f36e87b048\",0,\"inequalities\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011226.lean\",\"53a03cd61911ff5855777211751badb4759f433339c49841019650547466c977\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011224-n000004-0000-c5d6ea219f048e09.parquet",
-      "sha256": "c5d6ea219f048e0931678cad26857d9612999953ad6b94c05e1bef016bd51732",
       "bytes": 686545,
+      "path": "data/train/pdd/oproofs-s00002-r00011224-n000004-0000-c5d6ea219f048e09.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "38d941d8f3229f5ce9017f873ce70d6ba64679c1"
+      "sha256": "c5d6ea219f048e0931678cad26857d9612999953ad6b94c05e1bef016bd51732"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011224-n000004-0001-8ee43bb7c8a85995.parquet",
-      "sha256": "8ee43bb7c8a8599578f397e8e15234d0dee5b7002c9ca36f86e555644790fd23",
       "bytes": 1241903,
+      "path": "data/train/pdd/oproofs-s00002-r00011224-n000004-0001-8ee43bb7c8a85995.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "38d941d8f3229f5ce9017f873ce70d6ba64679c1"
+      "sha256": "8ee43bb7c8a8599578f397e8e15234d0dee5b7002c9ca36f86e555644790fd23"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011224-n000004-0002-bb3f209f36dbc3df.parquet",
-      "sha256": "bb3f209f36dbc3df4f769868aad4c207b13471aa98f064b424b8b16cb3e2a048",
       "bytes": 1043890,
+      "path": "data/train/pdd/oproofs-s00002-r00011224-n000004-0002-bb3f209f36dbc3df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "38d941d8f3229f5ce9017f873ce70d6ba64679c1"
+      "sha256": "bb3f209f36dbc3df4f769868aad4c207b13471aa98f064b424b8b16cb3e2a048"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11224",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11225",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11226"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011224.lean\",\"1a3a9229a7866f6ba0c140d888a3b25840c4ec6a08c6720caca3cc42f3517a6b\",0,\"inequality\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011225.lean\",\"26c5c3b52d1683b5e66747ae6433b082dd14c33b1fe67899e9f870f36e87b048\",0,\"inequalities\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011226.lean\",\"53a03cd61911ff5855777211751badb4759f433339c49841019650547466c977\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011228-n000004.json b/manifests/batches/oproofs/s00002-r00011228-n000004.json
index 0a10892abf82e6d38a5aeb5139e093cfd67ef7f6..63ba1771196bd6c4cfc438bcc40c64b257c683bb 100644
--- a/manifests/batches/oproofs/s00002-r00011228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011228-n000004",
   "batch_fingerprint": "6852d6e75fc78b817b3646e195eaf58498d7a58967f1dd479545837ee4fc0810",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011228-n000004-0000-b74e904fc9d18994.parquet",
-      "sha256": "b74e904fc9d18994ac8d94f390476cef3ab5aeacfef19821e618de262e437832",
-      "bytes": 117735,
-      "rows": 12,
-      "revision": "310f8549791be47d3d4112f49dbb9755198d0201"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11229",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11230",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011229.lean\",\"9a8149333e4072c80f3a98720c2e5926bf00fc63c27dbb7057935918be2b5057\",0,\"FiniteS\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011230.lean\",\"be47169d67300ec9398c2265d4284322c404846e9a12ae1f679e5ae3e513b39c\",0,\"range_expansion\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011231.lean\",\"a66e0d4b5c527a24b4ce7845c28b0f5bc01acc2d2b99c5bfe1c3808c19a3150e\",0,\"connected\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117735,
+      "path": "data/train/p00/oproofs-s00002-r00011228-n000004-0000-b74e904fc9d18994.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b74e904fc9d18994ac8d94f390476cef3ab5aeacfef19821e618de262e437832"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011232-n000004.json b/manifests/batches/oproofs/s00002-r00011232-n000004.json
index 2e1555f3a2b63cd2a9847488891c44dfd36f3979..6b60327139faccef5955bd5a5e89afc0b0deb66c 100644
--- a/manifests/batches/oproofs/s00002-r00011232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011232-n000004",
   "batch_fingerprint": "9d3433ad671458216d27c0d9ecfbca071b94cb66988859bfa9696b896f38148b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011232-n000004-0000-a6f8fcda221907db.parquet",
-      "sha256": "a6f8fcda221907dbebddf2f2b96a986d3a38ef7746ec70890ab472aa377d3867",
-      "bytes": 133057,
-      "rows": 18,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011233.lean\",\"d9d8185c45a9a0efef755a0cbdf10d18e0cd6be6022a73371c37059f705efa55\",0,\"gcd_fib\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011234.lean\",\"db3724304c9758b3cb4845b5adce7a165fcb221bf6cffa273d917fd8d42962fe\",0,\"intersect_seq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011235.lean\",\"362b49494698b6d7aabb34846d2b4b1fe5c2018db8c943c121369b5d466bd048\",0,\"psi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133057,
+      "path": "data/train/pf5/oproofs-s00002-r00011232-n000004-0000-a6f8fcda221907db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a6f8fcda221907dbebddf2f2b96a986d3a38ef7746ec70890ab472aa377d3867"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011236-n000004.json b/manifests/batches/oproofs/s00002-r00011236-n000004.json
index c8becfaeb062c306e4e0306b3bc77e5a7b6fc9b2..100fe666cd4adcaec150a36c36497b05a1ca7b65 100644
--- a/manifests/batches/oproofs/s00002-r00011236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011236-n000004",
   "batch_fingerprint": "14be31cb68e20bcfd0c8d6fd0b9d2a1e8f5d2d0d15c1322930def551d262b12b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011236-n000004-0000-1c38d8308568aee6.parquet",
-      "sha256": "1c38d8308568aee6510a423442771b5797ba8f1f33cad7d853d016e4911ab8fb",
-      "bytes": 106420,
-      "rows": 12,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011237.lean\",\"ff097170609bbf05c9e0a0c858f8386354aa97ee32a63e9ed7f39d085b0fc778\",0,\"convex_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011238.lean\",\"fb751139b1eff541be2ff2f06dbbd4826218a0feced33634a2c65afb790d0d12\",0,\"lambda_diff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011239.lean\",\"6a3166ddf44e4d65911aaec75829a4ad01eab9ae47f0bf8d4ec137814d5e301e\",0,\"large_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106420,
+      "path": "data/train/pe1/oproofs-s00002-r00011236-n000004-0000-1c38d8308568aee6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1c38d8308568aee6510a423442771b5797ba8f1f33cad7d853d016e4911ab8fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011240-n000004.json b/manifests/batches/oproofs/s00002-r00011240-n000004.json
index 7137853efd99ffffc970df1a7d89a226c4fa49dd..8831f5522eb99cc5e93bd7150db6f073b2c09767 100644
--- a/manifests/batches/oproofs/s00002-r00011240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011240-n000004",
   "batch_fingerprint": "4dd0e5275af682b4f986694db8137227241ca70026d49dba9230c1d855de0d83",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011240-n000004-0000-92c1b0baca5df048.parquet",
-      "sha256": "92c1b0baca5df048442cf38d8d5ff391f48731467cf4cb7cdf5123874e10409b",
-      "bytes": 300439,
-      "rows": 10,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011240-n000004-0000-d03a0e0636fe220e.parquet",
-      "sha256": "d03a0e0636fe220eda312411d9e2c894352a40f9dc37b644bc0939eca1db3677",
-      "bytes": 46615,
-      "rows": 5,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011241.lean\",\"2ad56617de198755588e93f72fbdc41deb7404f766453f7d6465559a415ee145\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011242.lean\",\"6162412cdae5e9bc13027dbfbbb6f5ab094a1be628a5ba34a4724238cf5e1f54\",0,\"compact_subset\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011243.lean\",\"3347ef40c7b03fc44f61ba98574a955872f92b35fd6ee3f39304281d874950cc\",0,\"cycleGroup\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 300439,
+      "path": "data/train/pe0/oproofs-s00002-r00011240-n000004-0000-92c1b0baca5df048.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "92c1b0baca5df048442cf38d8d5ff391f48731467cf4cb7cdf5123874e10409b"
+    },
+    {
+      "bytes": 46615,
+      "path": "data/internal_test/pe0/oproofs-s00002-r00011240-n000004-0000-d03a0e0636fe220e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d03a0e0636fe220eda312411d9e2c894352a40f9dc37b644bc0939eca1db3677"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011244-n000004.json b/manifests/batches/oproofs/s00002-r00011244-n000004.json
index eb307cc443b347077346306c5fdcfd6e7da94a94..bdbe23d1700f6f7db8137a26177ffd60341a0fe2 100644
--- a/manifests/batches/oproofs/s00002-r00011244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011244-n000004",
   "batch_fingerprint": "fb8891dbe2ae25019ab749b1b3f19e130e88903dd406ac5daea82d9e744ea858",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011244-n000004-0000-417c702241414c96.parquet",
-      "sha256": "417c702241414c9685e8a4ce95615e56492b6ee8325a8bf090b6e09281a155f8",
-      "bytes": 110079,
-      "rows": 10,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011244-n000004-0000-cfe0741c0e8914ea.parquet",
-      "sha256": "cfe0741c0e8914ea098c4bf4188b082133a0f6699acff387f0f90fbb4b960986",
-      "bytes": 37699,
-      "rows": 5,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11245",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011245.lean\",\"88823c570c0786126446488653e0ab6346d9bb1efba8e8984036d902d597eb05\",0,\"Nat.PrimeBelow\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011246.lean\",\"08a1e04c0a9fd19b17c2641f4fee1820ab7be1db8e0775afd26f8cb74b4769ba\",0,\"card_ex\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011247.lean\",\"bd740109038065652932e518b9867169d4255d5d356943c4889d0669cb33d4b1\",0,\"sum'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110079,
+      "path": "data/train/pf9/oproofs-s00002-r00011244-n000004-0000-417c702241414c96.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "417c702241414c9685e8a4ce95615e56492b6ee8325a8bf090b6e09281a155f8"
+    },
+    {
+      "bytes": 37699,
+      "path": "data/internal_test/pf9/oproofs-s00002-r00011244-n000004-0000-cfe0741c0e8914ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cfe0741c0e8914ea098c4bf4188b082133a0f6699acff387f0f90fbb4b960986"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011248-n000004.json b/manifests/batches/oproofs/s00002-r00011248-n000004.json
index e4123e2c96b6738b09e2e16d179b7434e478f1f8..9aa115a545a1a7b6f3c5f11b62e8087979aa9030 100644
--- a/manifests/batches/oproofs/s00002-r00011248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011248-n000004",
   "batch_fingerprint": "c9b72d2fb917e9f92b205af5785485a8cc2b8c81f06f0215db38da6a07e735c0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011248-n000004-0000-031da56728a3fe6d.parquet",
-      "sha256": "031da56728a3fe6dba016191402e99bc3e95fbff4a13b610fd4e85af93186c8b",
-      "bytes": 381619,
-      "rows": 12,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011249.lean\",\"63e0667d089bb2ef154eef95997d62f86e6224be1a2c46c60aed63625c08ae34\",0,\"Prime_p_eq_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011250.lean\",\"e0448ec1e3577180c8a91be2fe8095504635055ba645ceaf284bd444bf975ea0\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011251.lean\",\"5a7e17d3da3ef51f04e4165e279cc9f100ece825912f4a2da1534a05217621cb\",0,\"sum_of_differences\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 381619,
+      "path": "data/train/pfb/oproofs-s00002-r00011248-n000004-0000-031da56728a3fe6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "031da56728a3fe6dba016191402e99bc3e95fbff4a13b610fd4e85af93186c8b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011252-n000004.json b/manifests/batches/oproofs/s00002-r00011252-n000004.json
index 8b20fea16be9e54ea87a28b7c19c1d4d0de501fc..1cc45643ba090bcc563679c538ba4fc706048906 100644
--- a/manifests/batches/oproofs/s00002-r00011252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011252-n000004",
   "batch_fingerprint": "239ad7df1e1d37107c058a31147659eccd468df0c676e7cac3ca8338883c5898",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011252-n000004-0000-0e59f485a36b6fb0.parquet",
-      "sha256": "0e59f485a36b6fb0e773f9551b54db762587dc2b2266aa1c4d05e64f1431da3e",
-      "bytes": 194618,
-      "rows": 14,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11253",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011253.lean\",\"b254e8154b552a5ca3e9ea45458303411def73653d7068ba3e3ae01d0f479a55\",0,\"PolynomialComplexRoot\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011254.lean\",\"435423b1be802b239421acd576bc70f84cf7c44414e6716863e7bc5e20ef1e23\",0,\"card\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011255.lean\",\"734b4f31723302df6abc3de36a73b95538955a470690bae16170c7bb2caa04f2\",0,\"psi\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194618,
+      "path": "data/train/pde/oproofs-s00002-r00011252-n000004-0000-0e59f485a36b6fb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0e59f485a36b6fb0e773f9551b54db762587dc2b2266aa1c4d05e64f1431da3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011256-n000004.json b/manifests/batches/oproofs/s00002-r00011256-n000004.json
index 4b90854f5793efe6cb1352c5efaebedc1fc8f1f9..55ad4260a6108c671a5a6c073dae2c5cea9734ad 100644
--- a/manifests/batches/oproofs/s00002-r00011256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011256-n000004",
   "batch_fingerprint": "7c7f3343c3d4449f7d36b5d8f68266f9368075fc0c018ef1e87375d632a5205f",
   "evidence": {
@@ -39,15 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000011/oproofs-s00002-r00011256-n000004-0000-98f26c543d8b7914.parquet",
-      "sha256": "98f26c543d8b7914f5054d3b8ab5c0a0a9fc5e1c3910738dbd69d2daf29e42ca",
-      "bytes": 77646,
-      "rows": 8,
-      "revision": "ca5542f69a486c4b230875355e7f021e1d425dba"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11257",
@@ -57,5 +48,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011256.lean\",\"eff744f6419197dc29f52501cc8359b799087ee00d7267eb86adb0b789fee000\",0,\"ZF\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011257.lean\",\"e44817d6857ac38cc602bb7f8514e04873ca666a3c0c611312c6d90d49d5b600\",0,\"convex_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011259.lean\",\"f07e55e48983689584d4c5a1ab5fd5b1af636ddde9782d01e14d251f10b5c165\",0,\"lambda_diff\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77646,
+      "path": "data/train/p04/oproofs-s00002-r00011256-n000004-0000-98f26c543d8b7914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "98f26c543d8b7914f5054d3b8ab5c0a0a9fc5e1c3910738dbd69d2daf29e42ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011260-n000004.json b/manifests/batches/oproofs/s00002-r00011260-n000004.json
index 434c864e5f5579afc1c07312f2a6e11935b07901..f11e93ccde3b4377a2e4bd662a4dd085a4a23756 100644
--- a/manifests/batches/oproofs/s00002-r00011260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011260-n000004",
   "batch_fingerprint": "2084b1c9350d6e91b41efa26851b8006007a5d63be18c5604be92937f1308dd4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011260-n000004-0000-e0f9106581e54517.parquet",
-      "sha256": "e0f9106581e545172eb746e9a8dd5ebaa77bdd783c99946aa7561d144d71597d",
-      "bytes": 143950,
-      "rows": 7,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011260-n000004-0000-fdc21904dae0fdc0.parquet",
-      "sha256": "fdc21904dae0fdc005d383a33f2ba654fff59068310069c686b2cff8c7f1d393",
-      "bytes": 31451,
-      "rows": 3,
-      "revision": "4bd148f4395ef830032e9d541c2c8798194c7ed4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011261.lean\",\"59559e801ccd51703a657a656b6130b67dea2cbbd13c31e0778e72b0b7ed7208\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011262.lean\",\"fb4b188055aeb96eb70f80de8707bd5eba2435497a122e2aa84c2ac39c008a7b\",0,\"cycleGroup\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011263.lean\",\"9763a812a28ff043aa091023936d532cc2c5894d2f0855406c2fd764ef03fd9e\",0,\"card_ex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143950,
+      "path": "data/train/p72/oproofs-s00002-r00011260-n000004-0000-e0f9106581e54517.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e0f9106581e545172eb746e9a8dd5ebaa77bdd783c99946aa7561d144d71597d"
+    },
+    {
+      "bytes": 31451,
+      "path": "data/internal_test/p72/oproofs-s00002-r00011260-n000004-0000-fdc21904dae0fdc0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fdc21904dae0fdc005d383a33f2ba654fff59068310069c686b2cff8c7f1d393"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011264-n000004.json b/manifests/batches/oproofs/s00002-r00011264-n000004.json
index eefecbcec82708c96a641359e3d087469d7815b2..63aac2b5e55a9e7183c0ae4b6b93fa9b743ef3b3 100644
--- a/manifests/batches/oproofs/s00002-r00011264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011264-n000004",
   "batch_fingerprint": "9d8f03b9196fb09526d6bc4b569ffd40505790a440e114e32690ff582e9d53ac",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011264-n000004-0000-aeb6f2293688e6ee.parquet",
-      "sha256": "aeb6f2293688e6ee977cf89e401004bda77ca5c015f8f49abe726b92706e93b0",
-      "bytes": 144185,
-      "rows": 11,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011264-n000004-0000-62dff667c3d528c5.parquet",
-      "sha256": "62dff667c3d528c5079cf4f7dca781b0023ab2591ba444887ba23879092a083a",
-      "bytes": 71489,
-      "rows": 4,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011265.lean\",\"79aea63ee6e2d7f1bcae39b9685951ce8ecd1129bd90b7189c58ae2708851c84\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011266.lean\",\"33a369faf69177aee9802ef7d28e799f9475b4657682813e09ab83731dc0129c\",0,\"T2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011267.lean\",\"466d51e5abd0314b478bc05ae70b23bb6674dcc67fb0b485d83579f2f3619f50\",0,\"sum'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 144185,
+      "path": "data/train/paa/oproofs-s00002-r00011264-n000004-0000-aeb6f2293688e6ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "aeb6f2293688e6ee977cf89e401004bda77ca5c015f8f49abe726b92706e93b0"
+    },
+    {
+      "bytes": 71489,
+      "path": "data/internal_test/paa/oproofs-s00002-r00011264-n000004-0000-62dff667c3d528c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "62dff667c3d528c5079cf4f7dca781b0023ab2591ba444887ba23879092a083a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011268-n000004.json b/manifests/batches/oproofs/s00002-r00011268-n000004.json
index 91ede20474cdc86f53a4f4a79581f102ed599f0a..ef42b7dbb359cf584639e362eaf9596c8da3d17c 100644
--- a/manifests/batches/oproofs/s00002-r00011268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011268-n000004",
   "batch_fingerprint": "f749f8ca67236b9aad873605954bb4883f358c322c44745102fc6a500face4d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011268-n000004-0000-5a9f4ef551fd894b.parquet",
-      "sha256": "5a9f4ef551fd894b90aa257faa331ca73dab093a2092c8cbb69c4ed3498110c6",
-      "bytes": 148716,
-      "rows": 13,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011269.lean\",\"8ae6159de7987b72898406d8fc79cf97752af3a98321da3c2ed035e760de0de0\",0,\"no_gossip_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011270.lean\",\"aa65117aed97b3457c8bd0d416dfd1d2ded480c63f6cd7fcaebb36abca97f024\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011271.lean\",\"77c90244acb25fabe73234cc9a66bf61a7fc18060d544070300cc2bf28bbf127\",0,\"DenseOpenGn\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148716,
+      "path": "data/train/p92/oproofs-s00002-r00011268-n000004-0000-5a9f4ef551fd894b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5a9f4ef551fd894b90aa257faa331ca73dab093a2092c8cbb69c4ed3498110c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011272-n000004.json b/manifests/batches/oproofs/s00002-r00011272-n000004.json
index ff389fa2d253c2b3195a317e7166c80987020731..ecd452112b1cb597109a01051eb436070bef395a 100644
--- a/manifests/batches/oproofs/s00002-r00011272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011272-n000004",
   "batch_fingerprint": "5c769f4057ec9e090ae0cf80532ca2550956f86db6ae94534afd27b11c2d9dcf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011272-n000004-0000-6247011ed711b51c.parquet",
-      "sha256": "6247011ed711b51c81e6bbcd1a279db9a764d63a78e053ef2a0b289cdaac6306",
-      "bytes": 211799,
-      "rows": 10,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011272-n000004-0000-dab972442831b8bf.parquet",
-      "sha256": "dab972442831b8bf7956cb515bbf726e673035582e1ad3f7eccda82e1269d4f6",
-      "bytes": 106984,
-      "rows": 3,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11273",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011273.lean\",\"f2d42bcfe05c7cfe5fbe32180d06cbb549185f804eb3555bd5731cad46094b45\",0,\"range_expansion\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011274.lean\",\"067097ca7268e8a9756caf102b6692ff90d0812f9a38eaf99f783a74e1c04324\",0,\"MatrixSquareRoot\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011275.lean\",\"9e8084f2b3b84bfab9874439977f878a95ae518e8341c072085c2b859420fa1d\",0,\"dConstructibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211799,
+      "path": "data/train/paa/oproofs-s00002-r00011272-n000004-0000-6247011ed711b51c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6247011ed711b51c81e6bbcd1a279db9a764d63a78e053ef2a0b289cdaac6306"
+    },
+    {
+      "bytes": 106984,
+      "path": "data/dev/paa/oproofs-s00002-r00011272-n000004-0000-dab972442831b8bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "dab972442831b8bf7956cb515bbf726e673035582e1ad3f7eccda82e1269d4f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011276-n000004.json b/manifests/batches/oproofs/s00002-r00011276-n000004.json
index 6128502698c0f867a85561242dc5e07e45cc15e9..52b341442a7539a03c5335279cddcadac0574348 100644
--- a/manifests/batches/oproofs/s00002-r00011276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011276-n000004",
   "batch_fingerprint": "1fca3799116ec26822865c0a5572048d6109e5a08012dff467eff9c3bd125612",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011276-n000004-0000-ef060b8aa6ac478e.parquet",
-      "sha256": "ef060b8aa6ac478ef5330edd4a558897b9f75e4b451307aff81e9c9aab6f8d14",
-      "bytes": 96850,
-      "rows": 11,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011277.lean\",\"1e1bf677699385951805fce35fadfe2baac6b7aff36658f5321f52fb57b182d1\",0,\"construct_seq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011278.lean\",\"9433742ac3e49d3a008f98c0882c5811889c641273cdac95f8140e4173332353\",0,\"intersect_seq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011279.lean\",\"2bf6d8f0c8d57c17448a07ed994bc6b4a703a71a6d84e377781cb61b2eb5e1bf\",0,\"ZF\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 96850,
+      "path": "data/train/p4f/oproofs-s00002-r00011276-n000004-0000-ef060b8aa6ac478e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ef060b8aa6ac478ef5330edd4a558897b9f75e4b451307aff81e9c9aab6f8d14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011280-n000004.json b/manifests/batches/oproofs/s00002-r00011280-n000004.json
index c077564b397018a272fc2dcbe3e5cc049f98bf23..3e185488f5b1639e1274359265d76f2eca148990 100644
--- a/manifests/batches/oproofs/s00002-r00011280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011280-n000004",
   "batch_fingerprint": "4ce47f812b3410d69b29ba69ac0d3290edec2607a39bc7bef99a88f7e9d6fff5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011280-n000004-0000-75041ba2d8fe6bb9.parquet",
-      "sha256": "75041ba2d8fe6bb92e55798985ef95be3e97383cf3ba1a78c2698fc8d79e24c5",
-      "bytes": 195235,
-      "rows": 18,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11281",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011281.lean\",\"26cb4b1d7b5702e5c7ada8f47ca5a0c787f2df7d5ea79e629b33cb699b6266d4\",0,\"large_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011282.lean\",\"857bc7e8998a6a68177b7242d4b412d67063cdaa8d2497ec7a5790ade748940c\",0,\"PrimeDivisorOfG\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011283.lean\",\"28f0270b01d1b1d2f7f2153ef01eee639a8b6caee53faccb562f0a834e91fe0c\",0,\"sum'\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 195235,
+      "path": "data/train/p93/oproofs-s00002-r00011280-n000004-0000-75041ba2d8fe6bb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "75041ba2d8fe6bb92e55798985ef95be3e97383cf3ba1a78c2698fc8d79e24c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011284-n000004.json b/manifests/batches/oproofs/s00002-r00011284-n000004.json
index 793744eb40fd4c8adf48e728dfcc63ed5757f45f..804419f37a92d150694c68e9c7b68c4568bdfbbe 100644
--- a/manifests/batches/oproofs/s00002-r00011284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011284-n000004",
   "batch_fingerprint": "c21023edcc35a16bda447ad6f44fe9beeb99f1ffd613ffa994618fab6ed47cfd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011284-n000004-0000-8fdf8808679655e7.parquet",
-      "sha256": "8fdf8808679655e7377083aef8bb2197ff4af479bf25daa9042059b65962c20f",
-      "bytes": 139415,
-      "rows": 13,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011285.lean\",\"6f2438a513bcefc9af681afa5cda712ff1afb49a37f1678c1a4c7f627f8ff101\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011286.lean\",\"54d44a9a09894bae4e6165bf4975198cb6d3dcd7ba3831ba3064c3b4377db130\",0,\"Prime_p_eq_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011287.lean\",\"eb2fa9233f8aec7c8e34b271772f602abdecd27bdc5b768c0a4fd9e1964a53c4\",0,\"no_gossip_bound\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 139415,
+      "path": "data/train/p32/oproofs-s00002-r00011284-n000004-0000-8fdf8808679655e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8fdf8808679655e7377083aef8bb2197ff4af479bf25daa9042059b65962c20f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011288-n000004.json b/manifests/batches/oproofs/s00002-r00011288-n000004.json
index 0d7a8c35403cace1d424920553e30efa2ccafd21..b9fdf63751d1bca21652ab9d4a116283b96c79be 100644
--- a/manifests/batches/oproofs/s00002-r00011288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011288-n000004",
   "batch_fingerprint": "d6b52ecfef8f306e21d024da2c70ee692fd6772607d9669fcac84eadabe48379",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011288-n000004-0000-c115e988a4cd5ae3.parquet",
-      "sha256": "c115e988a4cd5ae341e6d6b9bb9f3fc0c662b143e25d18f94c079736996be72b",
-      "bytes": 105285,
-      "rows": 8,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011288-n000004-0000-2396350884669c55.parquet",
-      "sha256": "2396350884669c55d2249fbbf12017852831310974626d135bdeda066e563ccc",
-      "bytes": 95700,
-      "rows": 2,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011289.lean\",\"15a2174af7f67b784db865ca40e17d64593344c994e8ecc1f4fdd08d93465307\",0,\"MatrixSquareRoot\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011290.lean\",\"06132ace3817fd1487d9ed61d59e5141432332e07e17e1f220b5b3d07dad09f8\",0,\"connected\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011291.lean\",\"c469a3a0ca4799d8d1f503dc1fd5e1487c0ba96db2f3e561552595713e78a9b7\",0,\"dConstructibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105285,
+      "path": "data/train/pc6/oproofs-s00002-r00011288-n000004-0000-c115e988a4cd5ae3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c115e988a4cd5ae341e6d6b9bb9f3fc0c662b143e25d18f94c079736996be72b"
+    },
+    {
+      "bytes": 95700,
+      "path": "data/dev/pc6/oproofs-s00002-r00011288-n000004-0000-2396350884669c55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2396350884669c55d2249fbbf12017852831310974626d135bdeda066e563ccc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011292-n000004.json b/manifests/batches/oproofs/s00002-r00011292-n000004.json
index 7805375472a6405607f92abd9d2aef4ad970be44..6dc6d36b3dd2b7a76408465aa517ef4ad06c5c6d 100644
--- a/manifests/batches/oproofs/s00002-r00011292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011292-n000004",
   "batch_fingerprint": "6bdc734ae0fb1df04c7967d5d9ff77d2adf888447660c62fa37f887fd8058f29",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011292-n000004-0000-86c6b274b22096e5.parquet",
-      "sha256": "86c6b274b22096e524afc403ce240c3630fa5131233e3579469ca1513b1ae518",
-      "bytes": 114669,
-      "rows": 12,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011293.lean\",\"faf9ad512351f592174a78cd843473aca82645db8d4cdd6b205e47d7f9b66027\",0,\"intersect_seq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011294.lean\",\"6235100fffbba1a08b1af1fbe85feef7aa831448679afb294ca4d3b561eee373\",0,\"psi\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011295.lean\",\"393104e9e90fe34faa1dfcaa6d8c415485ff15c04f62f591d158fc7a90969320\",0,\"ZF\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114669,
+      "path": "data/train/p1c/oproofs-s00002-r00011292-n000004-0000-86c6b274b22096e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "86c6b274b22096e524afc403ce240c3630fa5131233e3579469ca1513b1ae518"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011296-n000004.json b/manifests/batches/oproofs/s00002-r00011296-n000004.json
index fd70e1bcc032ca891ca08110a114044c353b8d21..c30e0c80eda5605ccede39371b27399f0da2c36f 100644
--- a/manifests/batches/oproofs/s00002-r00011296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011296-n000004",
   "batch_fingerprint": "ff2b3e8696cd09327227ab279858512acdbbc7bd217caef1bbb5459b935aa0a2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011296-n000004-0000-6d6d3aa525c9d6db.parquet",
-      "sha256": "6d6d3aa525c9d6dbd33f5bbea268c9975b5a2270f27f53047a31cda8fac85f42",
-      "bytes": 101617,
-      "rows": 12,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011297.lean\",\"90bebf79a2e468a799f540bc4ee3df23593291f24f7a98ff8ac5c326396e6780\",0,\"contracting_mapping\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011298.lean\",\"0a52da413076eb2a42c078eeaaf434123d9e58e305f63d090adc00302554e12e\",0,\"lambda_diff\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011299.lean\",\"939f612a7c7736c12ca4101c285df530eb4bec0a5befe4020717314f48b1ad5a\",0,\"large_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101617,
+      "path": "data/train/pb7/oproofs-s00002-r00011296-n000004-0000-6d6d3aa525c9d6db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6d6d3aa525c9d6dbd33f5bbea268c9975b5a2270f27f53047a31cda8fac85f42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011300-n000004.json b/manifests/batches/oproofs/s00002-r00011300-n000004.json
index eb01813458409427773ae967b627b1d87dceb9c1..25fb518766975a95beb9c39d33c86d907bb42405 100644
--- a/manifests/batches/oproofs/s00002-r00011300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011300-n000004",
   "batch_fingerprint": "e9f8090fe125a1ccd8f7afbefa92e9e130b9d6d3368cdc935c127b5ab994031d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011300-n000004-0000-e3cecc7d0ed5962d.parquet",
-      "sha256": "e3cecc7d0ed5962d5fa57e192e68213b6f452387d19adf80f90b1fa080b62c9f",
-      "bytes": 184313,
-      "rows": 12,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011301.lean\",\"d8cda444f37cb2eb16d972d0b95a47e9ff52917bfc94edf555d4ce106a5e1f64\",0,\"closure_of_compact\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011302.lean\",\"37b12b83124b2ee9c9bc55e4ba0272df95dd1bc14c7d44492b081905b2f568cf\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011303.lean\",\"36f2fbe6a6d660cd8debb77643f2270074d4cec210b49c71b582b3e3cc018710\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184313,
+      "path": "data/train/pc6/oproofs-s00002-r00011300-n000004-0000-e3cecc7d0ed5962d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "e3cecc7d0ed5962d5fa57e192e68213b6f452387d19adf80f90b1fa080b62c9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011304-n000004.json b/manifests/batches/oproofs/s00002-r00011304-n000004.json
index 9de9827cd1620c9f02e2e2d2dec207f2ac7c53d5..76dcf47e46360742b1f2169e929909bfbc3ba1cb 100644
--- a/manifests/batches/oproofs/s00002-r00011304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011304-n000004",
   "batch_fingerprint": "59a2bed25e0ec8252dfc7dff4cca8567580f0a2da73ba27b2ad0bc9b7bda172e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011304-n000004-0000-9982263e6e460034.parquet",
-      "sha256": "9982263e6e46003479e0474157ffa117d894380e4daa550d060462367b860f9d",
-      "bytes": 141711,
-      "rows": 12,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011304-n000004-0000-c9777babd24ea45e.parquet",
-      "sha256": "c9777babd24ea45e63296d39ae2a15c6063b669a30b4bf925c5a407aa339b2d8",
-      "bytes": 101215,
-      "rows": 4,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11305",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011305.lean\",\"ff4f3f3645c19d43c4f20dffdd5cfaf8daff47e769210baaab416cf73247732d\",0,\"T2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011306.lean\",\"1eec4185e4b920064b243f86ca33f66021d84039e47348a3bd1e88adc2e1cf7a\",0,\"sum'\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011307.lean\",\"aab9e2654faeb0a163fb77644a850740a1555bfc6fd5bdfbbe97c26003cd4046\",0,\"algebraic_487164\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141711,
+      "path": "data/train/pa9/oproofs-s00002-r00011304-n000004-0000-9982263e6e460034.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9982263e6e46003479e0474157ffa117d894380e4daa550d060462367b860f9d"
+    },
+    {
+      "bytes": 101215,
+      "path": "data/internal_test/pa9/oproofs-s00002-r00011304-n000004-0000-c9777babd24ea45e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c9777babd24ea45e63296d39ae2a15c6063b669a30b4bf925c5a407aa339b2d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011308-n000004.json b/manifests/batches/oproofs/s00002-r00011308-n000004.json
index 4f3dd2ec086634b5f2515aecbd95b4e36132e6a1..1f961e75a428cf8de74b1a999f2a9d5c0df0389d 100644
--- a/manifests/batches/oproofs/s00002-r00011308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011308-n000004",
   "batch_fingerprint": "415b96afcdf11aa70a5467ee07d04c7e4793985496a3acab193aea367d9fd79a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011308-n000004-0000-a589cda149883627.parquet",
-      "sha256": "a589cda149883627d4c61ca7a33e8629404d790843f49941f34a046a7fdc2afe",
-      "bytes": 361491,
-      "rows": 14,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011309.lean\",\"5da883785c319990b1e7608b582203839a99d3607bc34f5d5642cd104fd89a8b\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011310.lean\",\"f5e8170fea286855272fd88ac3d2a4073410d1af8f528e7957ead598f75a333f\",0,\"no_gossip_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011311.lean\",\"30d6e5055575b6e581df383460c95229046a13e0532c07e682c665a890420f56\",0,\"sum_of_differences\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361491,
+      "path": "data/train/pbf/oproofs-s00002-r00011308-n000004-0000-a589cda149883627.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a589cda149883627d4c61ca7a33e8629404d790843f49941f34a046a7fdc2afe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011312-n000004.json b/manifests/batches/oproofs/s00002-r00011312-n000004.json
index b8d472fb28ae601e3f307c527cd3c9e768d11179..721a7e42b70c4fc24b18a20b0ef2e71cb223ee24 100644
--- a/manifests/batches/oproofs/s00002-r00011312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011312-n000004",
   "batch_fingerprint": "d1fbd66d9c197a78c6e29c943fd729a7032a5eb4dcfd75afc1620786a52904d7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011312-n000004-0000-5c472f69b14f9921.parquet",
-      "sha256": "5c472f69b14f99213733617fcec9464dc68d6422e48560310f30cd35e3b40657",
-      "bytes": 890883,
-      "rows": 17,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011312-n000004-0001-3f312c5ae9d5a971.parquet",
-      "sha256": "3f312c5ae9d5a9719c92fd5cc2d0e9814a28fece7e1b87887b846ed4728a91af",
-      "bytes": 440176,
-      "rows": 7,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11313",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011313.lean\",\"0ee18d8154451e72990df491c99dd323d20ef1744093b20f853e049ff42250eb\",0,\"algebra_498736\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011314.lean\",\"f8e4411e91ca652a871859cb1e292157ce917b69ec91a4be2c52cd3d6249c1f9\",0,\"cannot_exist_fuv\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011315.lean\",\"dacad79cedd8bfe7f91d6970571fd2a0151ca7a7e6064fee78f425834d7d34e8\",0,\"p_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 890883,
+      "path": "data/train/p98/oproofs-s00002-r00011312-n000004-0000-5c472f69b14f9921.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5c472f69b14f99213733617fcec9464dc68d6422e48560310f30cd35e3b40657"
+    },
+    {
+      "bytes": 440176,
+      "path": "data/train/p98/oproofs-s00002-r00011312-n000004-0001-3f312c5ae9d5a971.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "3f312c5ae9d5a9719c92fd5cc2d0e9814a28fece7e1b87887b846ed4728a91af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011316-n000004.json b/manifests/batches/oproofs/s00002-r00011316-n000004.json
index 18ed80a3105367357c505c7b8258763d784ad091..6778fe4ccbc3bef4b6ccc6e1beee14ff0c661f88 100644
--- a/manifests/batches/oproofs/s00002-r00011316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011316-n000004",
   "batch_fingerprint": "fc6b4aff28bae4f39fa9131ed735a9d7e069cb213057f94a27c4d1584f9e5ab7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011316-n000004-0000-d386f09af9e82cba.parquet",
-      "sha256": "d386f09af9e82cba1d50b87c89ab3fbaebe495b375e36e4d7e20d5ed9935cb92",
-      "bytes": 729601,
-      "rows": 18,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011316-n000004-0001-457705a80d1b2e8b.parquet",
-      "sha256": "457705a80d1b2e8ba096fc35d8f7f662dd835cb844047f85e699ac7fa4a26efb",
-      "bytes": 97632,
-      "rows": 3,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011317.lean\",\"4a6a15ad005a43ce2b9069094393d109d01ef36a27fa9ec1ac7b237cd52333ef\",0,\"sin\u03c6\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011318.lean\",\"c6a4611db3c31e2e55b3f2443be4d9fce3a15998616fc0cb93f5498cb0f594b8\",0,\"algebra_432957\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011319.lean\",\"ad197431dce97dcab2096c39385bcaae6aebfedad90b9585d7d2a9caf027302f\",0,\"Real.sin\u03c6\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 729601,
+      "path": "data/train/p31/oproofs-s00002-r00011316-n000004-0000-d386f09af9e82cba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "d386f09af9e82cba1d50b87c89ab3fbaebe495b375e36e4d7e20d5ed9935cb92"
+    },
+    {
+      "bytes": 97632,
+      "path": "data/train/p31/oproofs-s00002-r00011316-n000004-0001-457705a80d1b2e8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "457705a80d1b2e8ba096fc35d8f7f662dd835cb844047f85e699ac7fa4a26efb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011320-n000004.json b/manifests/batches/oproofs/s00002-r00011320-n000004.json
index 81a464c584872e6693d60908fca748d70c4f0023..a44e347016f943a7927db4cf362a9225ca2a6db3 100644
--- a/manifests/batches/oproofs/s00002-r00011320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011320-n000004",
   "batch_fingerprint": "4a54a3362d8f225db8cf3419a98575c7f67185e0a2e7fabde08c275e4feb14a6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11320",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11321",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11322",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11323"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011320.lean\",\"154e63e8248f36e4031af331ff6d906ba9bacd36535b0e24e6e251b51e114abb\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011321.lean\",\"44b0a834e530cbeb5d742ad0d7ffc36d0772934005605baab87d5c4838c83279\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011322.lean\",\"1e98bae4a6fa61b3905c0c91babf892b95d1c82b10e571eb6a8a3756b804e17c\",0,\"min_expr\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011323.lean\",\"b9976ce71f162da04ee7929ce87c93f35caecde339735a3ec109897ec2d23022\",0,\"Nat.factorial_sum\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011320-n000004-0000-12aaf757ce190e1e.parquet",
-      "sha256": "12aaf757ce190e1ec677ba1118c4530cdee0d245071fb57e3b15e68a0ff6d375",
       "bytes": 464162,
+      "path": "data/train/p71/oproofs-s00002-r00011320-n000004-0000-12aaf757ce190e1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
+      "sha256": "12aaf757ce190e1ec677ba1118c4530cdee0d245071fb57e3b15e68a0ff6d375"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011320-n000004-0001-881dc13673626b48.parquet",
-      "sha256": "881dc13673626b48c6a8dd0042972c58bdc56997234b45edf5d2aea98334b3ee",
       "bytes": 693850,
+      "path": "data/train/p71/oproofs-s00002-r00011320-n000004-0001-881dc13673626b48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
+      "sha256": "881dc13673626b48c6a8dd0042972c58bdc56997234b45edf5d2aea98334b3ee"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011320-n000004-0000-6a29776de98ecb89.parquet",
-      "sha256": "6a29776de98ecb89c54aced7fe838ee1c7abf58192e7f78324007aff8c4a9f0d",
       "bytes": 446077,
+      "path": "data/internal_test/p71/oproofs-s00002-r00011320-n000004-0000-6a29776de98ecb89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
+      "sha256": "6a29776de98ecb89c54aced7fe838ee1c7abf58192e7f78324007aff8c4a9f0d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11320",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11321",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11322",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11323"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011320.lean\",\"154e63e8248f36e4031af331ff6d906ba9bacd36535b0e24e6e251b51e114abb\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011321.lean\",\"44b0a834e530cbeb5d742ad0d7ffc36d0772934005605baab87d5c4838c83279\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011322.lean\",\"1e98bae4a6fa61b3905c0c91babf892b95d1c82b10e571eb6a8a3756b804e17c\",0,\"min_expr\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011323.lean\",\"b9976ce71f162da04ee7929ce87c93f35caecde339735a3ec109897ec2d23022\",0,\"Nat.factorial_sum\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011324-n000004.json b/manifests/batches/oproofs/s00002-r00011324-n000004.json
index 0548824a869210629dda885d4d86e7a5ed18fa11..9038988207cfe72eec22b98fe07361dfbd9c4b57 100644
--- a/manifests/batches/oproofs/s00002-r00011324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011324-n000004",
   "batch_fingerprint": "3b9d9046bdb33b1abcb5189d30911e240ee48374644670dab6ce96b6ae100310",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011324-n000004-0000-9b09ab5e171f0c79.parquet",
-      "sha256": "9b09ab5e171f0c79d989c1b179878506c28fc7e1ccadc5c3351980299b954d21",
-      "bytes": 586996,
-      "rows": 17,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011325.lean\",\"5bbad504934274473cfaf9f57b14f93ceec231bb7900f90ca91eb6ce82cc9385\",0,\"algebra_376845\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011326.lean\",\"ddf759399965e4785943bc04a4bf9b86ffaf4264c2ce20486e9d3d933c2eff65\",0,\"sqrt_465701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011327.lean\",\"ffa1887a3c7e6b7f4da83b01da0cd5f384d997ffb64a8f7d0ed67802c0fa9fb8\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 586996,
+      "path": "data/train/p44/oproofs-s00002-r00011324-n000004-0000-9b09ab5e171f0c79.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9b09ab5e171f0c79d989c1b179878506c28fc7e1ccadc5c3351980299b954d21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011328-n000004.json b/manifests/batches/oproofs/s00002-r00011328-n000004.json
index fdf231384c7dc0e332dcca2cd3af0181224e89f5..2b37fbea39c05496d34efda309880d271b9bca9f 100644
--- a/manifests/batches/oproofs/s00002-r00011328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011328-n000004",
   "batch_fingerprint": "236c0a028f2baf1fb8890ecc41a051c429343d73e44d6d92af2e5252071351e6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011328-n000004-0000-a0ba7d1542bb5240.parquet",
-      "sha256": "a0ba7d1542bb5240e5a44a590eaa7e87992933a715d8f61c09fc7590581620f9",
-      "bytes": 378309,
-      "rows": 13,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011328-n000004-0000-458655e952a9a63d.parquet",
-      "sha256": "458655e952a9a63d8e0e569d85375e10ed7d4e9ce9b4f30bf995f6b18fecec87",
-      "bytes": 212354,
-      "rows": 7,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011329.lean\",\"77fea8136b5c6a7f4e55dc819c4d510da3c285b1097873669813b34736e22c55\",0,\"min_f\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011330.lean\",\"866ceea3747f0c14ea60e9950cfc559088e837d53d75fe58a04ce91611502b28\",0,\"kdiv\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011331.lean\",\"9924a70b19d0933e047eed18eab32c144e80d6730dc2021ef04cfe4e00181b15\",0,\"for_specific_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378309,
+      "path": "data/train/p6a/oproofs-s00002-r00011328-n000004-0000-a0ba7d1542bb5240.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a0ba7d1542bb5240e5a44a590eaa7e87992933a715d8f61c09fc7590581620f9"
+    },
+    {
+      "bytes": 212354,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00011328-n000004-0000-458655e952a9a63d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "458655e952a9a63d8e0e569d85375e10ed7d4e9ce9b4f30bf995f6b18fecec87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011332-n000004.json b/manifests/batches/oproofs/s00002-r00011332-n000004.json
index f54fbe19d9e8fe2155638cfb3fafdbe605260c6b..29abcf48695c9f461d6b5db369ac117a5fb58cff 100644
--- a/manifests/batches/oproofs/s00002-r00011332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011332-n000004",
   "batch_fingerprint": "126a1010ba24fe22be72f93fdcec81793cc86417d86a9dd345fad9d8c48a1b76",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011332-n000004-0000-9a4b4dcd1394211f.parquet",
-      "sha256": "9a4b4dcd1394211f186653c0d45736848c17f7df9f2310c41334403df82f69ea",
-      "bytes": 1250663,
-      "rows": 29,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011333.lean\",\"e7a53b73bc5063059df11fc3bfb6b2521cd06a92a99080586174bbad5c6d6452\",0,\"sqrt_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011334.lean\",\"012e7b9beb54165ba6fc196396123e1c0ba0c53807c9898d30b22d5c0e0dc515\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011335.lean\",\"d495da8e2066f5b3c6fdd079fdd2f21d09addf6743c49982552266c6004277c6\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1250663,
+      "path": "data/train/p35/oproofs-s00002-r00011332-n000004-0000-9a4b4dcd1394211f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "9a4b4dcd1394211f186653c0d45736848c17f7df9f2310c41334403df82f69ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011336-n000004.json b/manifests/batches/oproofs/s00002-r00011336-n000004.json
index 473265389bf9779970950808d382fe81507e607f..ae4d1804afc78d61823d2798aa3ba274e669f8a2 100644
--- a/manifests/batches/oproofs/s00002-r00011336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011336-n000004",
   "batch_fingerprint": "138d2c0c3e0217c689019009acdef8ed04106c50e43883654816e9b96fe6e8ea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011336-n000004-0000-106ceb20bffec021.parquet",
-      "sha256": "106ceb20bffec021f1205478652cedf2e6640224dde8b6293b8371d31fc189af",
-      "bytes": 1519868,
-      "rows": 11,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011336-n000004-0001-12001d1fc56416e0.parquet",
-      "sha256": "12001d1fc56416e019fa8a94688cfaa530bc8094aadd0af6264679a0e4d658ac",
-      "bytes": 157259,
-      "rows": 5,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11337",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011337.lean\",\"0b31b91b11be9a2a23474f5395e47ea8a1e5abb669c1e458afed9dd1a0e0a9fd\",0,\"q1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011338.lean\",\"abbcc37a060d14d25f7b89209ca8d04860431b0d4824e7267bacc3fa2547054e\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011339.lean\",\"263f30ff79a68d94406fecb4757d0ed316aaa94d51c8e90fe9c9c1a816495af9\",0,\"algebra.BigOperators.Ring\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1519868,
+      "path": "data/train/p53/oproofs-s00002-r00011336-n000004-0000-106ceb20bffec021.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "106ceb20bffec021f1205478652cedf2e6640224dde8b6293b8371d31fc189af"
+    },
+    {
+      "bytes": 157259,
+      "path": "data/train/p53/oproofs-s00002-r00011336-n000004-0001-12001d1fc56416e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "12001d1fc56416e019fa8a94688cfaa530bc8094aadd0af6264679a0e4d658ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011340-n000004.json b/manifests/batches/oproofs/s00002-r00011340-n000004.json
index d777cb7e1ec0a090d6579c986adab0797ffdebd8..fa719a27490e0d97edf678d73473a3a86052bf3d 100644
--- a/manifests/batches/oproofs/s00002-r00011340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011340-n000004",
   "batch_fingerprint": "7e76192e338354a2e0d3572e38c166bf8fdc74d874a7f3280be3729fab4e596a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011340-n000004-0000-b44ec9fe8e9077a3.parquet",
-      "sha256": "b44ec9fe8e9077a3401c158051749d8e313df6c75488556e171496eb9db8d9e8",
-      "bytes": 87548,
-      "rows": 13,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11341",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011341.lean\",\"35adc794fc1ebcb4bd210a116f3d898cdc7112e10e477ef373dc1e10b2f553ce\",0,\"circle_center_radius_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011342.lean\",\"2be3bf5fb1399bd7e506f223c1743a1ce0a9afd452144204c0b2a282aa7d4f65\",0,\"total_selling_price_including_tax\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011343.lean\",\"2a7d114a0d256ef5cbfcbdb566b522ae710854199beb556c85e4e8de98bf7fa1\",0,\"problem_A\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87548,
+      "path": "data/train/p04/oproofs-s00002-r00011340-n000004-0000-b44ec9fe8e9077a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b44ec9fe8e9077a3401c158051749d8e313df6c75488556e171496eb9db8d9e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011344-n000004.json b/manifests/batches/oproofs/s00002-r00011344-n000004.json
index c42f7709f5abbd49c02d1f34a16d99a49d6f9eb4..b16fd667180946047778a9c19f4f940dc516b380 100644
--- a/manifests/batches/oproofs/s00002-r00011344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011344-n000004",
   "batch_fingerprint": "7e9cfaa6e4f8161536a5fd40f24c00f8a38cd4597ef356f581f7e9d2a5dfab00",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011344-n000004-0000-44b1fc13de03ac5e.parquet",
-      "sha256": "44b1fc13de03ac5ef667cd38b8eb9c417a9aed50d5832fd6d67c24711f32f1d0",
-      "bytes": 63302,
-      "rows": 10,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011344-n000004-0000-2253a84a876dccde.parquet",
-      "sha256": "2253a84a876dccdee34fee9cffde242560f923e9af0827144b1f94ca1e147fb3",
-      "bytes": 37696,
-      "rows": 2,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011345.lean\",\"88cdabd06112ba45efea405df3d521eaaf3f8e55faef57f449f741a9c34abcae\",0,\"probability_at_least_one_multiple_of_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011346.lean\",\"25c694855703f8add5d8edae499ed6072817ee075a288835b284a728f6897882\",0,\"m_ge_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011347.lean\",\"3059c92e1897a597c9922ab7c062cbfadb5298ca703f0dc0785423da7bff83c4\",0,\"prob_sum_multiple_of_5_given_even_product\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 63302,
+      "path": "data/train/pe1/oproofs-s00002-r00011344-n000004-0000-44b1fc13de03ac5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "44b1fc13de03ac5ef667cd38b8eb9c417a9aed50d5832fd6d67c24711f32f1d0"
+    },
+    {
+      "bytes": 37696,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00011344-n000004-0000-2253a84a876dccde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2253a84a876dccdee34fee9cffde242560f923e9af0827144b1f94ca1e147fb3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011348-n000004.json b/manifests/batches/oproofs/s00002-r00011348-n000004.json
index 1c9f2ee253384096f285d82174593083dfc66eb0..7ae5f90798314be82de79f796f2a2fd962c4f2e9 100644
--- a/manifests/batches/oproofs/s00002-r00011348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011348-n000004",
   "batch_fingerprint": "ba26b4d7cbc4d1940b75b0c34db7e64b37e8b530bcf6f6d0795145dcd3f26d91",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011348-n000004-0000-abbb7e4bdb0da7d5.parquet",
-      "sha256": "abbb7e4bdb0da7d52d323c4df4ccf35c8b0a54a9c8aa097579b973c2b8b1b64c",
-      "bytes": 1194693,
-      "rows": 9,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011348-n000004-0001-e441ee6513f93b0e.parquet",
-      "sha256": "e441ee6513f93b0e72565bc5474b339d0526af90ef687820293621897ab3c3e2",
-      "bytes": 249540,
-      "rows": 9,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011349.lean\",\"27b772d92dd058416536daceb2dd717008a305028154c9d724b15d11c2ac69cf\",0,\"P_plus_Q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011350.lean\",\"13aee5dacb769e7c09e743ae313e0661b9ba929f73cf34e6601a9766f1330abe\",0,\"part_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011351.lean\",\"f7885d1515dd865fcaa377141f0f5fc900a7f66bc69198ef1617dfd129dc933e\",0,\"billy_books\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1194693,
+      "path": "data/train/pd8/oproofs-s00002-r00011348-n000004-0000-abbb7e4bdb0da7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "abbb7e4bdb0da7d52d323c4df4ccf35c8b0a54a9c8aa097579b973c2b8b1b64c"
+    },
+    {
+      "bytes": 249540,
+      "path": "data/train/pd8/oproofs-s00002-r00011348-n000004-0001-e441ee6513f93b0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e441ee6513f93b0e72565bc5474b339d0526af90ef687820293621897ab3c3e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011352-n000004.json b/manifests/batches/oproofs/s00002-r00011352-n000004.json
index 363565d3969467c1675802dee3800c695a97254a..815ba8477b66da1a219103afb8edf3e3d8b88a18 100644
--- a/manifests/batches/oproofs/s00002-r00011352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011352-n000004",
   "batch_fingerprint": "42146c8bb729c43e2aa7c88ff358a2dca858feaf8b61fe9cf7488fb4768334ec",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011352-n000004-0000-4e4a02b955dd543c.parquet",
-      "sha256": "4e4a02b955dd543cdac48dcf5e51a653612ba690480def47a0aeab107dd8439f",
-      "bytes": 87479,
-      "rows": 9,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011352-n000004-0000-d87d28229e6a3116.parquet",
-      "sha256": "d87d28229e6a31168dc07c88f4bc173a7b05795bfef00b7ab823457a7adad926",
-      "bytes": 274047,
-      "rows": 7,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11353",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011353.lean\",\"cf9b4bb0617dc178c40e06bd98358bc350c1640590519bc8bfe96599119f0f5b\",0,\"incorrect_statement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011354.lean\",\"982aa1e3f1224d933371e03ac801a904dbcda7fd5aefbfaa56a9afb6ce64be4d\",0,\"combined_perimeter_approx\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011355.lean\",\"b85fd720d572f7bbcf8e2c23df3fbf4d33c4ee8fdadba4b59e02b131616b58da\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87479,
+      "path": "data/train/pe1/oproofs-s00002-r00011352-n000004-0000-4e4a02b955dd543c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4e4a02b955dd543cdac48dcf5e51a653612ba690480def47a0aeab107dd8439f"
+    },
+    {
+      "bytes": 274047,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00011352-n000004-0000-d87d28229e6a3116.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "d87d28229e6a31168dc07c88f4bc173a7b05795bfef00b7ab823457a7adad926"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011356-n000004.json b/manifests/batches/oproofs/s00002-r00011356-n000004.json
index 2f86ef256ecf994085cc51fb3e6cc323819f44e4..fab679df2e393271c60afd6d2bd7aebfdee45e32 100644
--- a/manifests/batches/oproofs/s00002-r00011356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011356-n000004",
   "batch_fingerprint": "58cc993da4969225d377c84eb5f1c52dce4fc3b36d341681ed780cdbd06964ed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011356-n000004-0000-f71bab7f2d021902.parquet",
-      "sha256": "f71bab7f2d02190272382f54756e39d7ab73aa007aab757f1773f4efaf068d3b",
-      "bytes": 974227,
-      "rows": 15,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011356-n000004-0000-e1fb493c414d6b84.parquet",
-      "sha256": "e1fb493c414d6b848ef5a7854a878bdd088a024ac28eef61d115ec947e6d1f58",
-      "bytes": 286728,
-      "rows": 3,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11357",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011357.lean\",\"b8ce947621b257387cd32a43e3d958e19780dd03599800c884d184c8c8763071\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011358.lean\",\"f814500a82a57704a8aec936c805e5455ee5390ecc1620c7104441ad64a02f29\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011359.lean\",\"7d4e1dc4f1b6391c27dd83365e96fb19ad421ec12b2f030b75d410bf64c6bc8c\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 974227,
+      "path": "data/train/p02/oproofs-s00002-r00011356-n000004-0000-f71bab7f2d021902.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f71bab7f2d02190272382f54756e39d7ab73aa007aab757f1773f4efaf068d3b"
+    },
+    {
+      "bytes": 286728,
+      "path": "data/internal_test/p02/oproofs-s00002-r00011356-n000004-0000-e1fb493c414d6b84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e1fb493c414d6b848ef5a7854a878bdd088a024ac28eef61d115ec947e6d1f58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011360-n000004.json b/manifests/batches/oproofs/s00002-r00011360-n000004.json
index 4a2f37c67165d568760c45fb4b833d0f106869f6..f121f31694cbd364abdf15d5906dab935e630885 100644
--- a/manifests/batches/oproofs/s00002-r00011360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011360-n000004",
   "batch_fingerprint": "1e7531d5f0adbb46ea9709f9e5e0d0a4caddb15e6e70830c30261c9da8d8479d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011360-n000004-0000-76bda2288bcdf839.parquet",
-      "sha256": "76bda2288bcdf839a30601cd724e6a734167bfb16501582d28563f756a03846e",
-      "bytes": 315990,
-      "rows": 17,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011361.lean\",\"a8635d740d7bcc8e960959399ed0ae60581e4eebad701bdc0dabe81a2aa63284\",0,\"power_piles\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011362.lean\",\"03344fbb478b66e510f9d7b47e2d54bf35b392fc06f7ce9957b98f4e34526789\",0,\"log_average\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011363.lean\",\"b83cebfe18fdc11ff55724b249f8bdbb06a5578b99c91a64f7ac5cdfc213beb6\",0,\"algebra_498736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315990,
+      "path": "data/train/pdc/oproofs-s00002-r00011360-n000004-0000-76bda2288bcdf839.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "76bda2288bcdf839a30601cd724e6a734167bfb16501582d28563f756a03846e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011364-n000004.json b/manifests/batches/oproofs/s00002-r00011364-n000004.json
index 91cc82eb75231d70ae97c96a10ff77574a97b2bb..a1b4d057cf9e81c27e00e609efc011159924eb04 100644
--- a/manifests/batches/oproofs/s00002-r00011364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011364-n000004",
   "batch_fingerprint": "e60a49ff41b0e39bd67087c0b35dd47788e98c4019391f8e759f57fa93eca912",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011364-n000004-0000-66c8459204e1bcc4.parquet",
-      "sha256": "66c8459204e1bcc4b47956b3c20f8c992982a2f906c99a33314852db307bdb6f",
-      "bytes": 758862,
-      "rows": 21,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011365.lean\",\"2323173522bbac1808c8046f3a9e832f6779cb1b87e8625d6b07019401923c74\",0,\"Real.sin\u03c6\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011366.lean\",\"f699b8baa2c8bfc027ff74bca72bf8ea2d62ee2014fb3f461744e39f30098bcc\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011367.lean\",\"133b1dca262d0390cccd58d5ff54fa7ff0623f3203aa6796df18df06465db79c\",0,\"min_expr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 758862,
+      "path": "data/train/p21/oproofs-s00002-r00011364-n000004-0000-66c8459204e1bcc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "66c8459204e1bcc4b47956b3c20f8c992982a2f906c99a33314852db307bdb6f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011368-n000004.json b/manifests/batches/oproofs/s00002-r00011368-n000004.json
index 8bf10200d80b02efa53184c5c0f45d17ea018e96..5f8514ec25a476e84c9def56faa55f1115cdd064 100644
--- a/manifests/batches/oproofs/s00002-r00011368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011368-n000004",
   "batch_fingerprint": "98ca9e394ec0f1eede2ff846f3d8bdad57234bfa75c742334a44cec94461234a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011368-n000004-0000-d630e1558253bbc7.parquet",
-      "sha256": "d630e1558253bbc7d04ca458b8615fea3db111f860625b83ba62b92eb418d4f7",
-      "bytes": 653192,
-      "rows": 10,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011368-n000004-0000-969a0157d85570ec.parquet",
-      "sha256": "969a0157d85570ec1b64a10468fb3d59b4bcc1ba6ef8b6dcdc299294ec4f7fdc",
-      "bytes": 59010,
-      "rows": 3,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011369.lean\",\"379c62b422b7cfbc95cb04108b23fd983ab74e3d398989969ad2916052effa13\",0,\"algebra_459841\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011370.lean\",\"03baf6dd972b3a024da1e661bbdcfc66b27eaf98239a4a215de19fc80b910c96\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011371.lean\",\"f7f9a9d671e4699a39c3dedfe56741a15fc7db2994952a1dd0810cc2be0e8bf1\",0,\"lim1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 653192,
+      "path": "data/train/p63/oproofs-s00002-r00011368-n000004-0000-d630e1558253bbc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d630e1558253bbc7d04ca458b8615fea3db111f860625b83ba62b92eb418d4f7"
+    },
+    {
+      "bytes": 59010,
+      "path": "data/internal_test/p63/oproofs-s00002-r00011368-n000004-0000-969a0157d85570ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "969a0157d85570ec1b64a10468fb3d59b4bcc1ba6ef8b6dcdc299294ec4f7fdc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011372-n000004.json b/manifests/batches/oproofs/s00002-r00011372-n000004.json
index 19f4044ee961e9384fcc580f3d77f160ab178dc2..ed0db9921d0a932b0bbf41819d7bf51e66ceab23 100644
--- a/manifests/batches/oproofs/s00002-r00011372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011372-n000004",
   "batch_fingerprint": "5518b45b5935efc652f9ebad0e19d35b40b011413c1bb87d1eb67d0b9f7c8eff",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011372-n000004-0000-5abb937e28c9d2eb.parquet",
-      "sha256": "5abb937e28c9d2eb524429a00b5ad5f27f08a54c3907dd7fbb488e209c9c5f6e",
-      "bytes": 552661,
-      "rows": 20,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011372-n000004-0000-f388e201b1c1f4b5.parquet",
-      "sha256": "f388e201b1c1f4b50f17118251e6fa941ae3f51c9a98cd4c65ad73a094aae5fd",
-      "bytes": 103143,
-      "rows": 4,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011373.lean\",\"2dcd2beb19de7eab5b6a344eeb8286044d4fcb6eec3d3ff72a54758f09b7a3a1\",0,\"sqrtsum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011374.lean\",\"e44a6ae08537006260d6262cbd6d6e7c45ee9e79b3c826006df12c10f2d510c9\",0,\"sqrt_465701\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011375.lean\",\"7cb4cad0666924cc4cc8e05ee1c1b57afabc8bd7aa502a71e63770242d6d642a\",0,\"sqrt_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 552661,
+      "path": "data/train/p24/oproofs-s00002-r00011372-n000004-0000-5abb937e28c9d2eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5abb937e28c9d2eb524429a00b5ad5f27f08a54c3907dd7fbb488e209c9c5f6e"
+    },
+    {
+      "bytes": 103143,
+      "path": "data/internal_test/p24/oproofs-s00002-r00011372-n000004-0000-f388e201b1c1f4b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f388e201b1c1f4b50f17118251e6fa941ae3f51c9a98cd4c65ad73a094aae5fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011376-n000004.json b/manifests/batches/oproofs/s00002-r00011376-n000004.json
index f3e8889152119989e111ac401a30ebca4fd34ab5..9b6638fbf6c917894e033d17f5cc99b7d8cd3028 100644
--- a/manifests/batches/oproofs/s00002-r00011376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011376-n000004",
   "batch_fingerprint": "3ece94ef6c1e480ed908d37f75a262ae805e6926db9789a3340b1afbf68d6e75",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011376-n000004-0000-a92f787cac208295.parquet",
-      "sha256": "a92f787cac208295ce258d4bb0e04fd45ce9a063f6d304c38d80f3c537eb8e56",
-      "bytes": 422345,
-      "rows": 24,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11377",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011377.lean\",\"bc7f7e48dc9f998cfe5e3342e76b41aaef8ada8bef3d389263c9eee5f0a76f9d\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011378.lean\",\"a407d92539ee777172bb8f9fff0830f90f8ab925d41dc95b057cabfeeb05475d\",0,\"midpoint_and_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011379.lean\",\"d5e27455d5363ccd5cf64c05ad6078a1bbd66bbf6fb5be0e71878866e5209b78\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422345,
+      "path": "data/train/p37/oproofs-s00002-r00011376-n000004-0000-a92f787cac208295.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "a92f787cac208295ce258d4bb0e04fd45ce9a063f6d304c38d80f3c537eb8e56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011380-n000004.json b/manifests/batches/oproofs/s00002-r00011380-n000004.json
index e07721a69cbe8dc727abc9c64025c1abacaedb42..bb15279c030791a7a4dd987c39440b8a3425b929 100644
--- a/manifests/batches/oproofs/s00002-r00011380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011380-n000004",
   "batch_fingerprint": "668501585315e3e34ab9e77ad732ee8685b21a972894786b3b85661d56ef2ef8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011380-n000004-0000-62be6b14bef661ba.parquet",
-      "sha256": "62be6b14bef661ba3414e93d22d2d09b6047e9f842cf819fc100fca35c505a41",
-      "bytes": 233692,
-      "rows": 12,
-      "revision": "cb2fbe3443002c51a0e9edb90f8be7d502874cf8"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011381.lean\",\"357a3a472db9ab09226dc1116d697d56a24c2325bba2a5267bb282bec99930c9\",0,\"sqrt_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011382.lean\",\"3c244db8ed31437b4634fa90251ecdc4cff2d4dfa6ffa9649698248c285f695a\",0,\"circle_center_radius_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011383.lean\",\"bf962b5f6d354add2bad1a90cbd9f60939cf158e2c91bd78d963ac5715cc0e01\",0,\"problem_A\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 233692,
+      "path": "data/train/pba/oproofs-s00002-r00011380-n000004-0000-62be6b14bef661ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "62be6b14bef661ba3414e93d22d2d09b6047e9f842cf819fc100fca35c505a41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011384-n000004.json b/manifests/batches/oproofs/s00002-r00011384-n000004.json
index fcbfe379257f7905e9724accad64402bd978047f..958a60ad78e269afa791ba23f39d1e92c3662f57 100644
--- a/manifests/batches/oproofs/s00002-r00011384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011384-n000004",
   "batch_fingerprint": "675bb0075125cdaeec75fd5a8314d9e8fd107c18aaf9f36bbabea73df68e7a00",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011384-n000004-0000-4a25fa9ec6598639.parquet",
-      "sha256": "4a25fa9ec6598639689181a74bbbc8a915a3e6a4ff604189693c2a3502142f84",
-      "bytes": 223897,
-      "rows": 11,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011385.lean\",\"3cad36fcce426b2c83a56d9851a94a5216bbd036d99f021d60a868d39c4951e2\",0,\"probability_at_least_one_multiple_of_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011386.lean\",\"3313a28c2e96f96c2520af572e0ef32f0fab9ee5a93fa90909785ad6acb196c0\",0,\"part_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011387.lean\",\"4afb62cbdbc86a766ccc27807b9de283583364096e9fc6f51a2e25de8e667961\",0,\"hired_person\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223897,
+      "path": "data/train/p6d/oproofs-s00002-r00011384-n000004-0000-4a25fa9ec6598639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "4a25fa9ec6598639689181a74bbbc8a915a3e6a4ff604189693c2a3502142f84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011388-n000004.json b/manifests/batches/oproofs/s00002-r00011388-n000004.json
index e37070158dbad1eabf10c5a2ae480da2fd459805..8c5b2bd707fb93ff9d2a84f1951b998e80514966 100644
--- a/manifests/batches/oproofs/s00002-r00011388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011388-n000004",
   "batch_fingerprint": "ae58d238459cb29441b819f1f4d8157bf2014315a0b42af7edc003977be6a0ad",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011388-n000004-0000-2258ee7a9b09b02e.parquet",
-      "sha256": "2258ee7a9b09b02eafa25721560104647c2360a52cb4eb1d3d1864344ba8f47e",
-      "bytes": 468370,
-      "rows": 17,
-      "revision": "6c19ef6439baac7b144d030413dbfba75ca09a1e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011389.lean\",\"583e82a524d6d9a9979608dcace7fbade1a2aebc1a0b28df923c0c89758cd548\",0,\"incorrect_statement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011390.lean\",\"26cf117d01c198aa4dfc26655bb84f71167a3102ed05c5efd164624fb18d04df\",0,\"parametric_equation_of_C\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011391.lean\",\"c821326f464383f1f0d97af70f713af54e8337f0081124308b4c4dbbbc12c4a4\",0,\"cookie_baking\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468370,
+      "path": "data/train/p75/oproofs-s00002-r00011388-n000004-0000-2258ee7a9b09b02e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2258ee7a9b09b02eafa25721560104647c2360a52cb4eb1d3d1864344ba8f47e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011392-n000004.json b/manifests/batches/oproofs/s00002-r00011392-n000004.json
index 19838e1e038e3228c69cc30ef678aa1791b72fb8..64804a0a1ca381dd658ced51297641f5c306b58d 100644
--- a/manifests/batches/oproofs/s00002-r00011392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011392-n000004",
   "batch_fingerprint": "95d725ce01320a1856a9b15277a61082fe7f326c832dec4d9a49c7b356cd93f1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011392-n000004-0000-7e6919badee69e1d.parquet",
-      "sha256": "7e6919badee69e1de0ecda2fa0bd60e450da25d8fbfa13b99fabfccb9d0882ab",
-      "bytes": 1302676,
-      "rows": 23,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011392-n000004-0001-68726c8a3f820a90.parquet",
-      "sha256": "68726c8a3f820a901f21000350d6180a5e98040f944fd8ad9475fe65d5c38297",
-      "bytes": 153533,
-      "rows": 6,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011393.lean\",\"6b28b704729e1b939f02c743a4c313779f05a879fc13bc37defcb5bce2e3b578\",0,\"algebra_486572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011394.lean\",\"a6ba8a9823111351ae5ff0d906f57faa735005a2fd86b94646cf16807010f951\",0,\"algebra_486930\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011395.lean\",\"f9eb93c1adceacc05708d5df5227cafd6ee8ec7962f12bf0a2a676d4eafa049d\",0,\"problem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1302676,
+      "path": "data/train/p8b/oproofs-s00002-r00011392-n000004-0000-7e6919badee69e1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "7e6919badee69e1de0ecda2fa0bd60e450da25d8fbfa13b99fabfccb9d0882ab"
+    },
+    {
+      "bytes": 153533,
+      "path": "data/train/p8b/oproofs-s00002-r00011392-n000004-0001-68726c8a3f820a90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "68726c8a3f820a901f21000350d6180a5e98040f944fd8ad9475fe65d5c38297"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011396-n000004.json b/manifests/batches/oproofs/s00002-r00011396-n000004.json
index a2ede01865c77cb5d0fd5156b7b97e8c9fe8ffaa..7735bebaf739fa90efcd9358f8734932eb668d3b 100644
--- a/manifests/batches/oproofs/s00002-r00011396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011396-n000004",
   "batch_fingerprint": "db9ba7e7117a43ab2eeb55b141db4fa38f8c116637913206e6af2e267611cc10",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011396-n000004-0000-09b1bcf251ad53d2.parquet",
-      "sha256": "09b1bcf251ad53d2e63152a006e031395ee5e15b4be9f27ae60e77a5739d3e25",
-      "bytes": 241382,
-      "rows": 9,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011396-n000004-0000-0a41884aebeca348.parquet",
-      "sha256": "0a41884aebeca348666ba42c6d0ffa204bc1ab8e8652dd7d2c63beaf5a89a626",
-      "bytes": 153041,
-      "rows": 2,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011397.lean\",\"b728f9ef20ad244dd1626ef4dac6c915d91b205e2b2aaff33c7593b6864f8d3a\",0,\"min\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011398.lean\",\"d3e680b3b22dde4b8d069d2a1e8ae07b5fc08ca8d80befa185d93295c61b2398\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011399.lean\",\"a21f5d991b1efe1807d2db4cff8d02de31ac6beb46b7aa56a51d1bfbecfc3d74\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241382,
+      "path": "data/train/p8e/oproofs-s00002-r00011396-n000004-0000-09b1bcf251ad53d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "09b1bcf251ad53d2e63152a006e031395ee5e15b4be9f27ae60e77a5739d3e25"
+    },
+    {
+      "bytes": 153041,
+      "path": "data/dev/p8e/oproofs-s00002-r00011396-n000004-0000-0a41884aebeca348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0a41884aebeca348666ba42c6d0ffa204bc1ab8e8652dd7d2c63beaf5a89a626"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011400-n000004.json b/manifests/batches/oproofs/s00002-r00011400-n000004.json
index 98909b1f31cb3fc34b48cca67d6303812f7b6eb2..856d47952274668de7217fa1e2544b38ac87442f 100644
--- a/manifests/batches/oproofs/s00002-r00011400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011400-n000004",
   "batch_fingerprint": "e6e5ce6ddb8109b54d3419a12feebdf547528345df2491fa62d5e7d4ca20c820",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011400-n000004-0000-c79c8e4cc07d3c98.parquet",
-      "sha256": "c79c8e4cc07d3c985b54b3cf1787b8e69e0b2c57b8b699b2b49044a217d92de0",
-      "bytes": 493904,
-      "rows": 18,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011401.lean\",\"fb386c407bd9fe7fa46f744d693a7b3863521ffa8f5ebf549387a3de1fa03d42\",0,\"prove_bolzano_weierstrass\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011402.lean\",\"44b301583fa808d85876f75d35ed693b32e4b2f634abe005cd39a6db10006ac1\",0,\"log_average\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011403.lean\",\"5a08416f970573a1c77dff690310d0675a7e15e68ab4ebe563469742130195d8\",0,\"power_piles\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 493904,
+      "path": "data/train/p48/oproofs-s00002-r00011400-n000004-0000-c79c8e4cc07d3c98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c79c8e4cc07d3c985b54b3cf1787b8e69e0b2c57b8b699b2b49044a217d92de0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011404-n000004.json b/manifests/batches/oproofs/s00002-r00011404-n000004.json
index 96a7cc5ed9589041969f0968a0c0dd0d926eb5dd..8452838ed6182cafce775f30e58f773bd531d951 100644
--- a/manifests/batches/oproofs/s00002-r00011404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011404-n000004",
   "batch_fingerprint": "11980b12d336be4147f44d1dbe8b55e8b6004320b070ea934aa7490255566390",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011404-n000004-0000-09aa3019d8c2ead7.parquet",
-      "sha256": "09aa3019d8c2ead71d2215de109c5f8d8affed1db6ef8ca41c40830c79f1dd17",
-      "bytes": 581918,
-      "rows": 14,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011405.lean\",\"5f945eaefb4d98a4c6798225064d7530df5092ed1e6ce2f78a1027fbcb6989b9\",0,\"algebra_498736\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011406.lean\",\"aa4ba91a01db7d919d26bf19d78fa5c68fd7dfc79313ce6cf94c8de9bb472637\",0,\"min_expr\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011407.lean\",\"2157b91256768de7fded29438e856f732a2d91c33392fb9b335d24002b93e68b\",0,\"p_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 581918,
+      "path": "data/train/pa6/oproofs-s00002-r00011404-n000004-0000-09aa3019d8c2ead7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "09aa3019d8c2ead71d2215de109c5f8d8affed1db6ef8ca41c40830c79f1dd17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011408-n000004.json b/manifests/batches/oproofs/s00002-r00011408-n000004.json
index cc320486f4e9fe886a30fbc589a4ae9bf7b053b7..4776c96bbd05accfa3142aa76404713221fab269 100644
--- a/manifests/batches/oproofs/s00002-r00011408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011408-n000004",
   "batch_fingerprint": "eb81b4a25b82397e85d6a0f9e21e6fc52271672454dece05f4da3a01d40b6279",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011408-n000004-0000-11a27e792440e6e4.parquet",
-      "sha256": "11a27e792440e6e4763768d968016f0f748cfa7876c0e1683e4f379f35c3b94e",
-      "bytes": 618212,
-      "rows": 16,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011409.lean\",\"f49bd4ebf5a1fc400fea97bc2e4785fc34a117d33ef085c94979ac97741e5ff3\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011410.lean\",\"db65e0bca637933bffa90beb39de1bda297806c1c7ac62d9a26700b612b80a2b\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011411.lean\",\"19ae6a76048ba5ca85a02ebd848cfa0b39d7cd4b95603505102a232a641da4b3\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 618212,
+      "path": "data/train/p9f/oproofs-s00002-r00011408-n000004-0000-11a27e792440e6e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "11a27e792440e6e4763768d968016f0f748cfa7876c0e1683e4f379f35c3b94e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011412-n000004.json b/manifests/batches/oproofs/s00002-r00011412-n000004.json
index 639fb26fde7bc5b156f8e41a03f8460667ce7c50..706d373649722dc63b64b759a938493235f70974 100644
--- a/manifests/batches/oproofs/s00002-r00011412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011412-n000004",
   "batch_fingerprint": "43e395ace1bc0420d0d10eb020d94ca2b91c5e5d3434970be6cd330d53f80f54",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011412-n000004-0000-7f0a852119007806.parquet",
-      "sha256": "7f0a8521190078061a81d6e7b629f03523ad9826f1fa8130f8eddfa6b6a7125d",
-      "bytes": 289484,
-      "rows": 20,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011412-n000004-0000-abf543fbd25e4b0c.parquet",
-      "sha256": "abf543fbd25e4b0c3a959ecf62b7bd84fdc860047fb94af540253199f6046c94",
-      "bytes": 118086,
-      "rows": 4,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11413",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011413.lean\",\"2e027cc26242c59fce20245d5206d1722ce56ea46e3ed7937ac6fcfeb49137f5\",0,\"sqrtsum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011414.lean\",\"5bd4aa2708e4de70cb3433e37be937d683ea7a24edec4e35d12e561931f4d460\",0,\"min_f\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011415.lean\",\"4675e56569ae31bd953a46c86077453a0d45e6dcf5a0bd56fa5e9beeacfcb22b\",0,\"sqrt_le\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289484,
+      "path": "data/train/p93/oproofs-s00002-r00011412-n000004-0000-7f0a852119007806.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7f0a8521190078061a81d6e7b629f03523ad9826f1fa8130f8eddfa6b6a7125d"
+    },
+    {
+      "bytes": 118086,
+      "path": "data/internal_test/p93/oproofs-s00002-r00011412-n000004-0000-abf543fbd25e4b0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "abf543fbd25e4b0c3a959ecf62b7bd84fdc860047fb94af540253199f6046c94"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011416-n000004.json b/manifests/batches/oproofs/s00002-r00011416-n000004.json
index c3b0d89fdb5b92785c32ea8e0fd3d9997aa2498a..ae0f246b9350ef89d581f8bdd92f21c97af27ee5 100644
--- a/manifests/batches/oproofs/s00002-r00011416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011416-n000004",
   "batch_fingerprint": "f4a6524c06ec02a2cfd0d656c42ae758d4fe49c624f1c77c883b0f9450e78a3c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011416-n000004-0000-1c4bca7908890524.parquet",
-      "sha256": "1c4bca79088905249b05b57187c433dd52a47dc43620d794f22fd37d1d0213b8",
-      "bytes": 686889,
-      "rows": 18,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11417",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011417.lean\",\"b8a133e180ccc47039180f8f767821f47bf107534fe69d8c2f946d28d6c372b9\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011418.lean\",\"245d2485a440c7ac52d1a4c9bc5459ca47f7ef06b312f56efddda5440cf04cb1\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011419.lean\",\"122ac69a735262513b137fdcae7ab02e9a9446736168f0ceee49c6910d70bcb3\",0,\"circle_center_radius_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686889,
+      "path": "data/train/p0d/oproofs-s00002-r00011416-n000004-0000-1c4bca7908890524.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1c4bca79088905249b05b57187c433dd52a47dc43620d794f22fd37d1d0213b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011420-n000004.json b/manifests/batches/oproofs/s00002-r00011420-n000004.json
index 5a06434d4262a7099e838f5f0555e1952d30b121..d712efeebfdb8d7f7b3b8b0b90f22fcc829a492d 100644
--- a/manifests/batches/oproofs/s00002-r00011420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011420-n000004",
   "batch_fingerprint": "17a9087849d82d5b2b139ceea814244140a967a10bc264293442a60091e29f85",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011420-n000004-0000-206b91826561ab66.parquet",
-      "sha256": "206b91826561ab663b628b1fd54b30403689c8ce8f17283c063c8a5c1d7975c9",
-      "bytes": 426684,
-      "rows": 20,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011421.lean\",\"4e66daefd177206ab74df3a1c826069edf88315f8542bbcda11b32d48ceec57c\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011422.lean\",\"d59fed6cb60ca42cbb54e2958bf6a18866a13a1ebb5cd6d14bfd097cc5d6f124\",0,\"billy_books\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011423.lean\",\"b289362cca60082275785c4ef60521d95f389cfbc5cfea838f4cad95b42b8085\",0,\"q\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 426684,
+      "path": "data/train/p84/oproofs-s00002-r00011420-n000004-0000-206b91826561ab66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "206b91826561ab663b628b1fd54b30403689c8ce8f17283c063c8a5c1d7975c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011424-n000004.json b/manifests/batches/oproofs/s00002-r00011424-n000004.json
index e92a19348b5f8f705490d9c4b870ebc51e7f2df2..35b801bceb6b1dc191ec3622b419240fcfe9c4ba 100644
--- a/manifests/batches/oproofs/s00002-r00011424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011424-n000004",
   "batch_fingerprint": "1161c0b4b476dfcf97d59f596be0f0ba743cc1035a5d1daef8b68882e0685889",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011424-n000004-0000-cca9b5f85b7168c7.parquet",
-      "sha256": "cca9b5f85b7168c784dc81c764b5773cd125881c5efa421785b7461f3c19e6f2",
-      "bytes": 626333,
-      "rows": 15,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011424-n000004-0000-0e9540db30fb4a70.parquet",
-      "sha256": "0e9540db30fb4a703bcbc953728c49e67bed5d5661ff5a20a2ba8df3fa9e955d",
-      "bytes": 130669,
-      "rows": 2,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011425.lean\",\"ce4101800bfa9e3dffbe8ddb3a483c72ecc6f9d186e6dbf6b18b750f4755440c\",0,\"incorrect_statement\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011426.lean\",\"aaec42b43b865347691d3b64d7751555aeb9be76334841ad6b6de55f4324d9cf\",0,\"monotonic_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011427.lean\",\"bbb1a502b29f39b32aa88b449caafd48b09bb4e3503b28d5ce83bdfbd47a1b5c\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 626333,
+      "path": "data/train/p6f/oproofs-s00002-r00011424-n000004-0000-cca9b5f85b7168c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "cca9b5f85b7168c784dc81c764b5773cd125881c5efa421785b7461f3c19e6f2"
+    },
+    {
+      "bytes": 130669,
+      "path": "data/dev/p6f/oproofs-s00002-r00011424-n000004-0000-0e9540db30fb4a70.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e9540db30fb4a703bcbc953728c49e67bed5d5661ff5a20a2ba8df3fa9e955d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011428-n000004.json b/manifests/batches/oproofs/s00002-r00011428-n000004.json
index 44e3eb7af8cc265bb755d811099d2ab33b0c1202..50672ab127e97f602718ecaf1e0f94152d46d7ec 100644
--- a/manifests/batches/oproofs/s00002-r00011428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011428-n000004",
   "batch_fingerprint": "921a3d9fdd312b6b2ba635ac98479ea03af7e779b5a16dd3f03e032d61ed0399",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011428-n000004-0000-1a62b23a4bd3b55c.parquet",
-      "sha256": "1a62b23a4bd3b55c4ed16a36aeb093bf9edcdcd21fe5ce566a7fe3650f7470ea",
-      "bytes": 250626,
-      "rows": 18,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011429.lean\",\"bb833ddc21f4699079de2ed0fc286a83c2ab41f4a97d87c80ffc6ab3f2059663\",0,\"cookie_baking\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011430.lean\",\"5a94407e16b0c124e37ce0f1f9a608a966a9e1ee4ceb6ef75af97210fc301783\",0,\"sum_of_edges\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011431.lean\",\"25dc316e530ee8dee36473f78f9996598258b02b91819638560b3a7de39d044e\",0,\"algebra_376845\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250626,
+      "path": "data/train/p49/oproofs-s00002-r00011428-n000004-0000-1a62b23a4bd3b55c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1a62b23a4bd3b55c4ed16a36aeb093bf9edcdcd21fe5ce566a7fe3650f7470ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011432-n000004.json b/manifests/batches/oproofs/s00002-r00011432-n000004.json
index 22e409b893cf679e9931275b2451015825b99856..779456d9bd65e445767b557132c4f923407fe7e2 100644
--- a/manifests/batches/oproofs/s00002-r00011432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011432-n000004",
   "batch_fingerprint": "07d0859c8b8621d218e68c1de3c7c067852745b065f3cac0bc608d3076a4f942",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011432-n000004-0000-8c2b64632fcb67e0.parquet",
-      "sha256": "8c2b64632fcb67e011c5255f151ca05a8eb924fdcc67bf5f60b4491ef28c98e5",
-      "bytes": 429562,
-      "rows": 20,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011432-n000004-0000-b04a9a6f70a71f1a.parquet",
-      "sha256": "b04a9a6f70a71f1af213ff4ad5632da5db79d25730c04152f7c4c19af6eafa09",
-      "bytes": 267609,
-      "rows": 5,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11433",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011433.lean\",\"4c610019736df669a35c0bb46adf203ab88526b003495dd4e0d068010ccbe63f\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011434.lean\",\"5a7ad7516e450f2f1b979bce32cc2bad7d37e8eae02a1cafad42e44ec515f900\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011435.lean\",\"f03b24cba611965b11b5b682e71fbbb7aa7f254fc5b827b5851dda057a9eca1f\",0,\"algebra_486930\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429562,
+      "path": "data/train/pc8/oproofs-s00002-r00011432-n000004-0000-8c2b64632fcb67e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "8c2b64632fcb67e011c5255f151ca05a8eb924fdcc67bf5f60b4491ef28c98e5"
+    },
+    {
+      "bytes": 267609,
+      "path": "data/internal_test/pc8/oproofs-s00002-r00011432-n000004-0000-b04a9a6f70a71f1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b04a9a6f70a71f1af213ff4ad5632da5db79d25730c04152f7c4c19af6eafa09"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011436-n000004.json b/manifests/batches/oproofs/s00002-r00011436-n000004.json
index ecb8e03627b92971127aa7201fc0611f6e90da45..d5ae8c9769c203d34bcc0a117b228aa6bfd7573f 100644
--- a/manifests/batches/oproofs/s00002-r00011436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011436-n000004",
   "batch_fingerprint": "74de9900d58fdd496c199ef48a55ee0589cab4b2d4a434f75758ea17c50ff560",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011436-n000004-0000-dde694b53e51ac4c.parquet",
-      "sha256": "dde694b53e51ac4ce46c962f14841598bf40a55f084ee68e990381c4538612eb",
-      "bytes": 870315,
-      "rows": 17,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011437.lean\",\"7e9d324c40970954528569462098050c0fb369741d1146dc68ee9c011465c9d9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011438.lean\",\"052b98a2ff2e307c2fcde291747aca1be433db75520e7d497dcb9050b6f8c4ca\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011439.lean\",\"bbf916474a66f4ee51b1cf8cc406efe2a71210e34b8724114f7168350e1b2c47\",0,\"algebra_505780\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 870315,
+      "path": "data/train/p84/oproofs-s00002-r00011436-n000004-0000-dde694b53e51ac4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "dde694b53e51ac4ce46c962f14841598bf40a55f084ee68e990381c4538612eb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011440-n000004.json b/manifests/batches/oproofs/s00002-r00011440-n000004.json
index 49a5335b5bb37e2a0cec0582f590b751e7241305..934ca64f648922ffe03d1938483c62c6c121ffa0 100644
--- a/manifests/batches/oproofs/s00002-r00011440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011440-n000004",
   "batch_fingerprint": "f93dab3978672bb204d768ac01a412a9dbb4352acb458e320eafd19f9d3113ac",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011440-n000004-0000-d4f79136826c55c5.parquet",
-      "sha256": "d4f79136826c55c55e5f5e5c4b70ae4caba56ec53d08a8f535278b4e878cc574",
-      "bytes": 932851,
-      "rows": 26,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011441.lean\",\"e541b9ae1fee319f894b06b50a14e78f938462358ecf67c367e57aefc1011c00\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011442.lean\",\"8f17150f04a156e305a33d28e6083d7f56d5b2199fa6d8f0d4157706beb59e7c\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011443.lean\",\"890ac3e6516595e909270e1e12b0aa1f31efaf51f28f263186f64ba27f37c8ac\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 932851,
+      "path": "data/train/p5d/oproofs-s00002-r00011440-n000004-0000-d4f79136826c55c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d4f79136826c55c55e5f5e5c4b70ae4caba56ec53d08a8f535278b4e878cc574"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011444-n000004.json b/manifests/batches/oproofs/s00002-r00011444-n000004.json
index aae2b0187b3393f058ac38173839d1cd54fcf171..04de120a5735b7b6ec244bfbfd4e73771937ced1 100644
--- a/manifests/batches/oproofs/s00002-r00011444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011444-n000004",
   "batch_fingerprint": "2411dbe203ba449b595a998b83749a531328e50980971b37c4fe153ec81f7128",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011444-n000004-0000-daae02b437ebea2c.parquet",
-      "sha256": "daae02b437ebea2cf44e6bb6933cd84774719fac557166390952d934ed85b3d2",
-      "bytes": 211023,
-      "rows": 12,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011445.lean\",\"b65136914fd9f9f361b4f69e9f35da0a03bf203a7eb1545fb034f18e3448eeed\",0,\"log_average\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011446.lean\",\"f4c055086241c54d8adef4bf2d3a034036db8ff1bc34e7f063f7efa23b4fd8a8\",0,\"lim1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011447.lean\",\"b66b0e173b8f3f255384750f999b8983530fd08f8c9f5b5d2f8473bec425504f\",0,\"algebra_498736\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211023,
+      "path": "data/train/p31/oproofs-s00002-r00011444-n000004-0000-daae02b437ebea2c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "daae02b437ebea2cf44e6bb6933cd84774719fac557166390952d934ed85b3d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011448-n000004.json b/manifests/batches/oproofs/s00002-r00011448-n000004.json
index b06971a568e69ab8e1e1c2c26eaac9aa0aeafa20..81dd0b0164c96432c714f57f4884451a28807adc 100644
--- a/manifests/batches/oproofs/s00002-r00011448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011448-n000004",
   "batch_fingerprint": "f821b466dc28b2afaafc73e120dc38a3b73d897e76f2454b0419225c8e9e7ea8",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11448",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11449",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11450",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11451"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011448.lean\",\"de7cf7b667828d23f4d87e29a89eb1136e2f96b3bc8e3fc0df2bd685fac5c8e5\",0,\"sin\u03c6\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011449.lean\",\"d14759ff49e7adbf443796104be5c035046993342f61f112a4e980371cbe349d\",0,\"solution_set\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011450.lean\",\"7c794d77b2a1799a585b97552e47ece9ddef17136275714eb27cdb9916022ff3\",0,\"min_expr\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011451.lean\",\"088657037a3190d10acf3cb4a0c61cf0c67b22ec8a9dc3aa90c423c58b94d7ac\",0,\"Nat.factorial_sum\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011448-n000004-0000-e2aeda96e2bd2c14.parquet",
-      "sha256": "e2aeda96e2bd2c146f89bddd59739075746228b28e5fd88266d2708e57d0fbf2",
       "bytes": 428441,
+      "path": "data/train/pb3/oproofs-s00002-r00011448-n000004-0000-e2aeda96e2bd2c14.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
+      "sha256": "e2aeda96e2bd2c146f89bddd59739075746228b28e5fd88266d2708e57d0fbf2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011448-n000004-0001-53bc0ca300cb04bc.parquet",
-      "sha256": "53bc0ca300cb04bcd08bbcbd8d5b3a64bd767291d3f15f8f0c425a565889169c",
       "bytes": 950963,
+      "path": "data/train/pb3/oproofs-s00002-r00011448-n000004-0001-53bc0ca300cb04bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
+      "sha256": "53bc0ca300cb04bcd08bbcbd8d5b3a64bd767291d3f15f8f0c425a565889169c"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011448-n000004-0000-a430a1c60f0b234b.parquet",
-      "sha256": "a430a1c60f0b234b4822a734b0f55a00868c4ce35d2acf5add3394838456e468",
       "bytes": 284648,
+      "path": "data/internal_test/pb3/oproofs-s00002-r00011448-n000004-0000-a430a1c60f0b234b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
+      "sha256": "a430a1c60f0b234b4822a734b0f55a00868c4ce35d2acf5add3394838456e468"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11448",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11449",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11450",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11451"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011448.lean\",\"de7cf7b667828d23f4d87e29a89eb1136e2f96b3bc8e3fc0df2bd685fac5c8e5\",0,\"sin\u03c6\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011449.lean\",\"d14759ff49e7adbf443796104be5c035046993342f61f112a4e980371cbe349d\",0,\"solution_set\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011450.lean\",\"7c794d77b2a1799a585b97552e47ece9ddef17136275714eb27cdb9916022ff3\",0,\"min_expr\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011451.lean\",\"088657037a3190d10acf3cb4a0c61cf0c67b22ec8a9dc3aa90c423c58b94d7ac\",0,\"Nat.factorial_sum\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011452-n000004.json b/manifests/batches/oproofs/s00002-r00011452-n000004.json
index fa2a667dbea03904d514f29b4413fa2444e98799..753b9b49d7387d623b801b15e1bef005d5711788 100644
--- a/manifests/batches/oproofs/s00002-r00011452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011452-n000004",
   "batch_fingerprint": "80cb46d71f7965fa08d924988702d3d28c134ac486731f1c3e4d52bde62fa2ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011452-n000004-0000-fba594652f0278bb.parquet",
-      "sha256": "fba594652f0278bb4214b71dfd493f76e525a0bfb004f7daf5a98641ec47d964",
-      "bytes": 574961,
-      "rows": 27,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011452-n000004-0000-fdc479e175fe92fd.parquet",
-      "sha256": "fdc479e175fe92fd0a2177bb3c959cd52ac431c3bcd62390ed1b53a64cbf4e3c",
-      "bytes": 113998,
-      "rows": 4,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011453.lean\",\"5ff7a0d5e845a52dac820ff5963bc18d87f7246bba60fda91d893a0ed177b15e\",0,\"sqrtsum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011454.lean\",\"26e22cc5a3f2f1a5f327c771b1dbc239a76ae0678c9937859a5c93386d3f3958\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011455.lean\",\"2957aa5d0b6c230932cf34409c115eb9b316b3c0197f28fea0216bf1e95e1be2\",0,\"sqrt_465701\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 574961,
+      "path": "data/train/pe4/oproofs-s00002-r00011452-n000004-0000-fba594652f0278bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "fba594652f0278bb4214b71dfd493f76e525a0bfb004f7daf5a98641ec47d964"
+    },
+    {
+      "bytes": 113998,
+      "path": "data/internal_test/pe4/oproofs-s00002-r00011452-n000004-0000-fdc479e175fe92fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "fdc479e175fe92fd0a2177bb3c959cd52ac431c3bcd62390ed1b53a64cbf4e3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011456-n000004.json b/manifests/batches/oproofs/s00002-r00011456-n000004.json
index d1cebfdc74e86206f532a03b9606ff6ce188dc1d..3fd60a118b762a66ff02d6b7af1f0b0d44e29e74 100644
--- a/manifests/batches/oproofs/s00002-r00011456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011456-n000004",
   "batch_fingerprint": "4a39905fdcb3480d54b0a92f33e12b8367277debdead6787398d0a519bfd5738",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011456-n000004-0000-cc88bf9b283f479c.parquet",
-      "sha256": "cc88bf9b283f479cf9a69edd4bdc323d64698560990c907b4787dc6db1e07a6d",
-      "bytes": 127833,
-      "rows": 21,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011457.lean\",\"0c26c6ae3d603ef8bbf2b9e4709ff0665039b59acf72174a1f9672f112ca7eda\",0,\"circle_center_radius_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011458.lean\",\"0dbca0c3c3ceca3fb74908ea8e797e605e19c266aac808c4452d10eea03f92db\",0,\"total_selling_price_including_tax\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011459.lean\",\"ec0b8be5541e185e02da2a4de6a931f5fabc211e62fbc86e177f44fd7401d956\",0,\"problem_A\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127833,
+      "path": "data/train/pd5/oproofs-s00002-r00011456-n000004-0000-cc88bf9b283f479c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "cc88bf9b283f479cf9a69edd4bdc323d64698560990c907b4787dc6db1e07a6d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011460-n000004.json b/manifests/batches/oproofs/s00002-r00011460-n000004.json
index 11dee3ccabd4dc5f42278ceb1133d2001c2301ef..9263af011435c892a7c34b8c5acb6acb53cb90af 100644
--- a/manifests/batches/oproofs/s00002-r00011460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011460-n000004",
   "batch_fingerprint": "926f26f1bfdc64dd369a3955f7c85bc788d690c762b4b7adbcdb4743349f1b87",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011460-n000004-0000-69ece6d58067f527.parquet",
-      "sha256": "69ece6d58067f527c78afd39d99e751a344d04abaef45025500e8309125ef072",
-      "bytes": 77250,
-      "rows": 12,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011460-n000004-0000-de7271b8d9515b6a.parquet",
-      "sha256": "de7271b8d9515b6a5019f508a676e3025158aad1633ec39c147cc581138bd8fc",
-      "bytes": 55235,
-      "rows": 3,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11461",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011461.lean\",\"9475b00a38ce1b3a9be37c719ebdfdfa1a70b5a3e0e39cc902d5f640c7c327ea\",0,\"probability_at_least_one_multiple_of_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011462.lean\",\"561d75995d025b93a2d1ab2c1524d14e7515a164dc3142101afa6915c398957a\",0,\"m_ge_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011463.lean\",\"50cf8490c2af86cf7702a13a1182143e2c8cec0921be3f6ffdb7f3e393d97600\",0,\"billy_books\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77250,
+      "path": "data/train/p37/oproofs-s00002-r00011460-n000004-0000-69ece6d58067f527.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "69ece6d58067f527c78afd39d99e751a344d04abaef45025500e8309125ef072"
+    },
+    {
+      "bytes": 55235,
+      "path": "data/internal_test/p37/oproofs-s00002-r00011460-n000004-0000-de7271b8d9515b6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "de7271b8d9515b6a5019f508a676e3025158aad1633ec39c147cc581138bd8fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011464-n000004.json b/manifests/batches/oproofs/s00002-r00011464-n000004.json
index 012e9d6f3ffac98309b54d36f3954a5b3f883502..16552d9645b68ae5f63a0241012618d7ae45cea2 100644
--- a/manifests/batches/oproofs/s00002-r00011464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011464-n000004",
   "batch_fingerprint": "2ffa8a61a7ad019fbf14ffe2a9a0611aa0e25b9b4405b205bfd4413a4fcf66b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011464-n000004-0000-3c6b71f7ea1b0840.parquet",
-      "sha256": "3c6b71f7ea1b0840b34d8bfa907604a54e6deba0b112cb0c7d7c9814a55a4448",
-      "bytes": 202490,
-      "rows": 18,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011465.lean\",\"4a6ac9da5492cc57573f05025e8065aabc7b611a80221f0ff5adc581ed7edb97\",0,\"cookie_baking\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011466.lean\",\"1507c08cc142c01ee4b243832669abbd5b864e7e81369dd2f2108b27242d8b0a\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011467.lean\",\"4565090cdc56355dc90e8b1cabcf229fb6f29dacb133e33515dd59b719a43330\",0,\"parametric_equation_of_C\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202490,
+      "path": "data/train/pac/oproofs-s00002-r00011464-n000004-0000-3c6b71f7ea1b0840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3c6b71f7ea1b0840b34d8bfa907604a54e6deba0b112cb0c7d7c9814a55a4448"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011468-n000004.json b/manifests/batches/oproofs/s00002-r00011468-n000004.json
index 7c223084b010e8805b11b88eaee5d4eab23b134e..4aab9a6e827c392980b5648073e021793d805825 100644
--- a/manifests/batches/oproofs/s00002-r00011468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011468-n000004",
   "batch_fingerprint": "7606786740f3f1eed4d56b690d3c8c1f09f6cb00a0cc28bb188bad35ee260aaf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011468-n000004-0000-bbab1f1636f8407e.parquet",
-      "sha256": "bbab1f1636f8407e22afbbe94cfc1b5e99d3f93a0502ae1586c34cc1aa2fa339",
-      "bytes": 827529,
-      "rows": 21,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011468-n000004-0000-726495b3a8187c0e.parquet",
-      "sha256": "726495b3a8187c0e42fa30a69117a2c2ab5deccf2ee271dd89375d2b3a0d78c1",
-      "bytes": 253644,
-      "rows": 8,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011469.lean\",\"31ef05cac90a9966a2ccc6dfc9826ea9adf319f6e13ceea153fe4e43b344936d\",0,\"algebra_486572\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011470.lean\",\"3935447b8c92f94f38eb7da7f12986460e03ae3c1c487f6a4978b674d6c8024e\",0,\"sum_of_angles\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011471.lean\",\"4398cc65071f44abc9de483544d6f394ffb3abff1c6376705e1cca4adf3fd670\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 827529,
+      "path": "data/train/p50/oproofs-s00002-r00011468-n000004-0000-bbab1f1636f8407e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "bbab1f1636f8407e22afbbe94cfc1b5e99d3f93a0502ae1586c34cc1aa2fa339"
+    },
+    {
+      "bytes": 253644,
+      "path": "data/internal_test/p50/oproofs-s00002-r00011468-n000004-0000-726495b3a8187c0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "726495b3a8187c0e42fa30a69117a2c2ab5deccf2ee271dd89375d2b3a0d78c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011472-n000004.json b/manifests/batches/oproofs/s00002-r00011472-n000004.json
index 0c0147209aa3414c080266f4203708040d798cf1..f172c25cc502bd173779404d3ae870d57e5ae123 100644
--- a/manifests/batches/oproofs/s00002-r00011472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011472-n000004",
   "batch_fingerprint": "60e753cf6e8ac3a4ba2988770e2d8f2bd2ec30df24aedd9e57e406f74dba13c9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011472-n000004-0000-fc8d210bef4f0b04.parquet",
-      "sha256": "fc8d210bef4f0b045412de463ff165db24661935142d70d19cef7ade2b829c8f",
-      "bytes": 1146333,
-      "rows": 19,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011472-n000004-0001-83266eeff0e7ce38.parquet",
-      "sha256": "83266eeff0e7ce38ac4366028434eb21c2e8f41d3e88543d3945d61da30dc9e9",
-      "bytes": 52948,
-      "rows": 3,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011473.lean\",\"307db9978f718e022d93d0f974d11d6a71dcd2f1d473d082b39f6587598d0db6\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011474.lean\",\"ceb4f6ee30c45eb365ae5c9830b0f4e99f128203005cba81e47c78a514e1bec2\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011475.lean\",\"c2d2029aeec392b219ecde0c0e34442d7ac52001e781815d6814f040b56847fc\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1146333,
+      "path": "data/train/p01/oproofs-s00002-r00011472-n000004-0000-fc8d210bef4f0b04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fc8d210bef4f0b045412de463ff165db24661935142d70d19cef7ade2b829c8f"
+    },
+    {
+      "bytes": 52948,
+      "path": "data/train/p01/oproofs-s00002-r00011472-n000004-0001-83266eeff0e7ce38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "83266eeff0e7ce38ac4366028434eb21c2e8f41d3e88543d3945d61da30dc9e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011476-n000004.json b/manifests/batches/oproofs/s00002-r00011476-n000004.json
index ee756c8b36a0545280acab7db3ad1e0e1aaf3d7e..857744bfed408a019548f479a909add6ce2c5c2e 100644
--- a/manifests/batches/oproofs/s00002-r00011476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011476-n000004",
   "batch_fingerprint": "6f65c0ffa4975f61e250371bf600c89e036a33db617f3d1ed8d93e0fb5a86491",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011476-n000004-0000-f7eb7a3f10cc9d6f.parquet",
-      "sha256": "f7eb7a3f10cc9d6f0ceac3916a8ce7839a5e65d0f956a2b9c3c814cd7a945cdb",
-      "bytes": 1098075,
-      "rows": 12,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011476-n000004-0001-fe6e5061a0354cf0.parquet",
-      "sha256": "fe6e5061a0354cf0367e316e504f6b926844687eda81042474bb430e7ef8db40",
-      "bytes": 1343987,
-      "rows": 7,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11477",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011477.lean\",\"ec3108e28b284cfb1b493afc4dcb5398c28e12aa7b0a6819dd1b3a395226b334\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011478.lean\",\"314956ddb7f2f020fcb66dbfe4712d2b010a073f1d0ba39269183ca5f3b6a1c2\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011479.lean\",\"66fcf5dd6c347ebc0dc8b5c149d8e3808afa12d6a0be3a83044a98083bb34d8b\",0,\"algebra_505780\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1098075,
+      "path": "data/train/p7a/oproofs-s00002-r00011476-n000004-0000-f7eb7a3f10cc9d6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f7eb7a3f10cc9d6f0ceac3916a8ce7839a5e65d0f956a2b9c3c814cd7a945cdb"
+    },
+    {
+      "bytes": 1343987,
+      "path": "data/train/p7a/oproofs-s00002-r00011476-n000004-0001-fe6e5061a0354cf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fe6e5061a0354cf0367e316e504f6b926844687eda81042474bb430e7ef8db40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011480-n000004.json b/manifests/batches/oproofs/s00002-r00011480-n000004.json
index 5b5b99afdc063635fb2e6f80614586f68e8f5496..a3f722ab3de48c3f3e8bf407804f73aadc6fbb6d 100644
--- a/manifests/batches/oproofs/s00002-r00011480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011480-n000004",
   "batch_fingerprint": "67929014a98d85a90d3e236d3cdce46b728015dede55066e8e01104394d63e3d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011480-n000004-0000-cc5a34799f65ba94.parquet",
-      "sha256": "cc5a34799f65ba942b57140936e4c62862838de1540705dc6f2ad8293ef1dac4",
-      "bytes": 1201736,
-      "rows": 18,
-      "revision": "1960d890eab29cc93bfff057cb23d247efb41db0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11481",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011481.lean\",\"8acb53883537a554a87df59feba0f359737e2ed7771d80cdce169a5a0026092d\",0,\"q1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011482.lean\",\"56559c46936e984fd8477886366b9109020fd4bd05d6442f98e890eef0cbedf9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011483.lean\",\"91f213522037d3a55c000b765305c183d0e443883e85c696c3f124b8e59160e8\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1201736,
+      "path": "data/train/pcd/oproofs-s00002-r00011480-n000004-0000-cc5a34799f65ba94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cc5a34799f65ba942b57140936e4c62862838de1540705dc6f2ad8293ef1dac4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011484-n000004.json b/manifests/batches/oproofs/s00002-r00011484-n000004.json
index b07aafc24bb5ec7287c6b7e33d2aed1df3434f0d..02c159908dcddec3a38e588e8ec1682fba091dd5 100644
--- a/manifests/batches/oproofs/s00002-r00011484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011484-n000004",
   "batch_fingerprint": "da3292605abb9a13821c974d216b303ff20440cac7a724cd61656638f4bb221d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011484-n000004-0000-9d876626af1cc604.parquet",
-      "sha256": "9d876626af1cc6047c72e09632126530e1f90f06bb43e20e98679a521b63ad84",
-      "bytes": 643128,
-      "rows": 10,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011484-n000004-0000-9f0279cf43eafb45.parquet",
-      "sha256": "9f0279cf43eafb45cd4dd37978753570803aa0fb5128301ff1eb84dbc0040b7d",
-      "bytes": 187236,
-      "rows": 9,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011485.lean\",\"6ca337b4a840e459a5a7251c8d09787dcbb3ab0d6a220b551b66dcef0337d3f7\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011486.lean\",\"91fae40f366fd9d907dda65d550bb4561eac1a614de2118af463c3f73fae721d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011487.lean\",\"495c7beab391d0951175cf1069d04c3d4012b58ea9fccab3185c89f822785f86\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 643128,
+      "path": "data/train/p19/oproofs-s00002-r00011484-n000004-0000-9d876626af1cc604.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9d876626af1cc6047c72e09632126530e1f90f06bb43e20e98679a521b63ad84"
+    },
+    {
+      "bytes": 187236,
+      "path": "data/internal_test/p19/oproofs-s00002-r00011484-n000004-0000-9f0279cf43eafb45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9f0279cf43eafb45cd4dd37978753570803aa0fb5128301ff1eb84dbc0040b7d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011488-n000004.json b/manifests/batches/oproofs/s00002-r00011488-n000004.json
index aed5973b00368bf14dce4b98ab2c490439e77fb6..eea76caa66c41df419b97b184955f86fddb05959 100644
--- a/manifests/batches/oproofs/s00002-r00011488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011488-n000004",
   "batch_fingerprint": "19c42af9f1fbe61bbc66078711ed2449b705350e4c0328225f001dba0d0ac490",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011488-n000004-0000-c6e6888660790f29.parquet",
-      "sha256": "c6e6888660790f29dced4ed0b024d1b625b803c9baa8188a39f8d30a5199a1be",
-      "bytes": 791330,
-      "rows": 18,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011488-n000004-0001-fe2eb207e0134cbd.parquet",
-      "sha256": "fe2eb207e0134cbda3af4c0d413145b098aa8acc48d0c83de329c2265d5616c4",
-      "bytes": 216295,
-      "rows": 7,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011489.lean\",\"d4b0b0fea99d60c3e0b19183c50416ccbede63c1ebee6d65a3a9d211e074f2f6\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011490.lean\",\"3fec1cdf051fce5f64feeb2b74c8128e4f42ab0719622d524e1b75750e8f9384\",0,\"q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011491.lean\",\"0d038b07f4cba0f2f5e1157d7b83ade46b3e24ee4ea8504e6bd1de29187ad797\",0,\"lean_workbook_plus_75361\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 791330,
+      "path": "data/train/p25/oproofs-s00002-r00011488-n000004-0000-c6e6888660790f29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "c6e6888660790f29dced4ed0b024d1b625b803c9baa8188a39f8d30a5199a1be"
+    },
+    {
+      "bytes": 216295,
+      "path": "data/train/p25/oproofs-s00002-r00011488-n000004-0001-fe2eb207e0134cbd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "fe2eb207e0134cbda3af4c0d413145b098aa8acc48d0c83de329c2265d5616c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011492-n000004.json b/manifests/batches/oproofs/s00002-r00011492-n000004.json
index b8a15381f559a3eb2c1057357bf58669b89d5232..060c5d56f7c9bb91268f0951c497845dd754d998 100644
--- a/manifests/batches/oproofs/s00002-r00011492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011492-n000004",
   "batch_fingerprint": "cacb18bfdb969c9611fae6d1a3d49bfa493deda0608ac1fc282922a7001c5404",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011492-n000004-0000-2f76435ba4f95043.parquet",
-      "sha256": "2f76435ba4f95043450c56c8e92d1a8e237cd42c98da733b123bacb0ec126605",
-      "bytes": 421527,
-      "rows": 18,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011493.lean\",\"ae716a73f0868f90ce61e2c3da464465bc7ee43cdd27a65ec38cd0133cd6c6c9\",0,\"lean_workbook_12108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011494.lean\",\"836a86fad9527b16287938cf3dfbfb9a5ddb94e7c66ec2124feb55b0d8fdecc9\",0,\"lean_workbook_plus_28322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011495.lean\",\"ac0cb32842e27bc979e9226e7d33c11660c3ffe8d266acb9587844ee1cccf6df\",0,\"lean_workbook_42135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 421527,
+      "path": "data/train/pc3/oproofs-s00002-r00011492-n000004-0000-2f76435ba4f95043.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "2f76435ba4f95043450c56c8e92d1a8e237cd42c98da733b123bacb0ec126605"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011496-n000004.json b/manifests/batches/oproofs/s00002-r00011496-n000004.json
index cfae42c68f86c7d979374e1ec399a65c4af5bb90..4dfbf915e8487b832b3db01094b055e14d246b42 100644
--- a/manifests/batches/oproofs/s00002-r00011496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011496-n000004",
   "batch_fingerprint": "bc4b5338534f70299d740a2e1e100ee31facea2754c40e9a3d6c9b7f6ae65416",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011496-n000004-0000-7e786aac59dc7589.parquet",
-      "sha256": "7e786aac59dc7589ffdb9416d16eaab89b8cfaa870106fe85e2c7f1c8cd41136",
-      "bytes": 276485,
-      "rows": 17,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011497.lean\",\"f74cfbbd8320b2f48892235af3e715073881ec0fbcbd4b6087b30358206f1ac4\",0,\"lean_workbook_plus_5467\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011498.lean\",\"c5965fa67d2d1cd9d77ea1b7204e76a6d6def777e800aa628ec016f9822036ab\",0,\"lean_workbook_plus_33617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011499.lean\",\"35a846f91e8e9c778ad8282ea1770fcd429b87e52c1c1bf4735f58a8842f19b2\",0,\"divisible_by_72_square\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276485,
+      "path": "data/train/pbb/oproofs-s00002-r00011496-n000004-0000-7e786aac59dc7589.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7e786aac59dc7589ffdb9416d16eaab89b8cfaa870106fe85e2c7f1c8cd41136"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011500-n000004.json b/manifests/batches/oproofs/s00002-r00011500-n000004.json
index c4962c81c7dbb12d19b5ffc00329bc77015d7537..bcb648f6a28352497615e8d71d015d9c68b2ee94 100644
--- a/manifests/batches/oproofs/s00002-r00011500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011500-n000004",
   "batch_fingerprint": "30b71d652e231a0fc87c580de3ce4007b0f703d0272db3497327dee0d1a6b202",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011500-n000004-0000-a689b5cbeaaa87c0.parquet",
-      "sha256": "a689b5cbeaaa87c0774f97c9e2040e7c297e58826c65b11317aa221bd9ba3896",
-      "bytes": 416866,
-      "rows": 31,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011501.lean\",\"e555137e6c372c1b79faeb570d4a0491308d0452276044ed4b7160ed95d0ad8b\",0,\"lean_workbook_plus_75641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011502.lean\",\"00028c65e9e7c9ba1d8058f8a457b6d334de0a2921358bcd95ec3e8fcbeb9b6d\",0,\"lean_workbook_36235\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011503.lean\",\"afd626af7b9ca4f07d1b73216755ac9a5ead196e1258b5fc950c5ae43bc7d408\",0,\"lean_workbook_plus_71923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 416866,
+      "path": "data/train/p39/oproofs-s00002-r00011500-n000004-0000-a689b5cbeaaa87c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "a689b5cbeaaa87c0774f97c9e2040e7c297e58826c65b11317aa221bd9ba3896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011504-n000004.json b/manifests/batches/oproofs/s00002-r00011504-n000004.json
index 5a7bfe87efd1ee6682c7af830b2f7befb126eab8..c16d966262335230e9fa180d2d09eeb0ba96a2f3 100644
--- a/manifests/batches/oproofs/s00002-r00011504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011504-n000004",
   "batch_fingerprint": "ece9995721f8dc2f2c37d5870ca9658982a019a3e453f636a006af6a6b439f38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011504-n000004-0000-ec9391c4d132e406.parquet",
-      "sha256": "ec9391c4d132e4062713dc711aeeb46ddb9b8d20fcbde9cd4d95e53157c303fa",
-      "bytes": 317473,
-      "rows": 14,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011504-n000004-0000-40683f0be74d0674.parquet",
-      "sha256": "40683f0be74d0674f86de7a1730c0385774a9e378b07ce8958aea2def2ea2665",
-      "bytes": 246462,
-      "rows": 8,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011505.lean\",\"a39fe313499b6e647bd4b6f8c6bc7b7ce11502619f622eb5fac13022caf6cf91\",0,\"lean_workbook_plus_25630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011506.lean\",\"77fbd9f39bbd721fa0b47db3d76aff3615034d3056ce6d1eeadb2b6d025292fe\",0,\"lean_workbook_plus_17667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011507.lean\",\"fa4e92fea24784b3973373869e677612848a3575c037550baf165500f30d0bf3\",0,\"lean_workbook_56772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317473,
+      "path": "data/train/p74/oproofs-s00002-r00011504-n000004-0000-ec9391c4d132e406.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "ec9391c4d132e4062713dc711aeeb46ddb9b8d20fcbde9cd4d95e53157c303fa"
+    },
+    {
+      "bytes": 246462,
+      "path": "data/dev/p74/oproofs-s00002-r00011504-n000004-0000-40683f0be74d0674.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "40683f0be74d0674f86de7a1730c0385774a9e378b07ce8958aea2def2ea2665"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011508-n000004.json b/manifests/batches/oproofs/s00002-r00011508-n000004.json
index f54b5769b5b658defa7a378f30e1550f4339a1f5..ebf07c0b41618fd188be527523a625735b01e675 100644
--- a/manifests/batches/oproofs/s00002-r00011508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011508-n000004",
   "batch_fingerprint": "d49a694cb9343e68ebd56141c34285004e01c9a0b6d33e062549492575d22d01",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011508-n000004-0000-42b138e56493705f.parquet",
-      "sha256": "42b138e56493705f6f2947835b45fde955d03e637aa4ccaf2acb96fd6b25feb7",
-      "bytes": 409581,
-      "rows": 27,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11509",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011509.lean\",\"98497799fa0d496ac0758fc5d04dabe26b8a79dee3e3d0088316b672c701c189\",0,\"lean_workbook_plus_24250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011510.lean\",\"dbd49172b3835b3bd9d8e5771e388f5effd0ba7de99be531e099b12b0f10a8a4\",0,\"lean_workbook_plus_72405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011511.lean\",\"f503066f82c233d53f156a286b944898e2a87f9a5e1016f37bc12738e1d6703a\",0,\"lean_workbook_plus_56696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 409581,
+      "path": "data/train/p85/oproofs-s00002-r00011508-n000004-0000-42b138e56493705f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "42b138e56493705f6f2947835b45fde955d03e637aa4ccaf2acb96fd6b25feb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011512-n000004.json b/manifests/batches/oproofs/s00002-r00011512-n000004.json
index 022e6c081a22d9143d87c50e990e4f525770644c..f9ca7d1b7c4c5c82847712af3b80f59288c688a5 100644
--- a/manifests/batches/oproofs/s00002-r00011512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011512-n000004",
   "batch_fingerprint": "b5bd91e284250854870140dd03ccd751535cce8a8ed90b727865837eef8f251d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011512-n000004-0000-9ddcf0c478542d87.parquet",
-      "sha256": "9ddcf0c478542d87f369694df48df1a4694a45dad9256cceea9dd4618195e76a",
-      "bytes": 134046,
-      "rows": 12,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011512-n000004-0000-0c9232a3a1fb140a.parquet",
-      "sha256": "0c9232a3a1fb140ab6fee99fdf967dacd47c6d5c1fe8c0163b04851aee3c69ef",
-      "bytes": 74963,
-      "rows": 3,
-      "revision": "7f9c9b60554c4657a80e85d2f7542639ae95ee7b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11513",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011513.lean\",\"39eab55070ceb32e59b3062686527e214daf4c8df9c4e356a35593d91e667a8d\",0,\"lean_workbook_plus_80926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011514.lean\",\"c2f610341e927813b15cd2dc3f285a2509db6fbcb9761191db90d875bd822961\",0,\"lean_workbook_plus_59493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011515.lean\",\"db258ccb22adecd8c0909b90112fe5cc8987d8bc361269aec68a2867f852ad5a\",0,\"lean_workbook_plus_75423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134046,
+      "path": "data/train/pff/oproofs-s00002-r00011512-n000004-0000-9ddcf0c478542d87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9ddcf0c478542d87f369694df48df1a4694a45dad9256cceea9dd4618195e76a"
+    },
+    {
+      "bytes": 74963,
+      "path": "data/internal_test/pff/oproofs-s00002-r00011512-n000004-0000-0c9232a3a1fb140a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0c9232a3a1fb140ab6fee99fdf967dacd47c6d5c1fe8c0163b04851aee3c69ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011516-n000004.json b/manifests/batches/oproofs/s00002-r00011516-n000004.json
index 0a0075d83097fbe8ff06ce0320b83260665157c8..600155b4c3dca913118f16033a905dbca59c41b2 100644
--- a/manifests/batches/oproofs/s00002-r00011516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011516-n000004",
   "batch_fingerprint": "2978a1610a3bbb0345114e7cf3ec04eba3eebaaab3d75eda9c9d6e342812afe5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011516-n000004-0000-633c6f0bd1cfa92b.parquet",
-      "sha256": "633c6f0bd1cfa92b618f2ee9d4eb43650db0596bef8d6e4f286496032af755f9",
-      "bytes": 819823,
-      "rows": 18,
-      "revision": "7b22914e07d5ad5d4136a7d0599c09ea53211ce9"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011517.lean\",\"7a94bf7fadd863ab14e38626c8719d288f1527458fe97ec78ada50741d168209\",0,\"lean_workbook_plus_69969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011518.lean\",\"b3c73f54f1b68b3bd01e4a97d4d849099b806ca608b19c675e9d9b941accd824\",0,\"lean_workbook_plus_74221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011519.lean\",\"f834a55978e5ba395c0d187774d8f304e3541763fb341dbc8de9fbd423eec4af\",0,\"lean_workbook_plus_37035\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 819823,
+      "path": "data/train/pf8/oproofs-s00002-r00011516-n000004-0000-633c6f0bd1cfa92b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "633c6f0bd1cfa92b618f2ee9d4eb43650db0596bef8d6e4f286496032af755f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011520-n000004.json b/manifests/batches/oproofs/s00002-r00011520-n000004.json
index 6cb683d057494a459c2e59cf34e87bef707b0073..25e88653edcd3b376a22654b0723df17f04dc8d2 100644
--- a/manifests/batches/oproofs/s00002-r00011520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011520-n000004",
   "batch_fingerprint": "5b001a16bf0e4d80dcf150af23080cfcd52bce7ac18caab6fffcccb4d8b2117b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011520-n000004-0000-c25088d605f4c194.parquet",
-      "sha256": "c25088d605f4c194c7fa5084ccab903e417655d6c2ed75b3ad163fd9c05a520f",
-      "bytes": 202938,
-      "rows": 10,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011520-n000004-0000-2cc9480ec990a717.parquet",
-      "sha256": "2cc9480ec990a717b2d98ccf72fd9d82b7620b9520711653a61f3feb94d35dc2",
-      "bytes": 75888,
-      "rows": 8,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011521.lean\",\"ba5f8718920d9391afb42e226317cdee2139a60a718e0b39e645472bd6cf0ef3\",0,\"lean_workbook_plus_35641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011522.lean\",\"3e11aadcdefdb837325e108bc99a34de4b684c1c05057b1b64fa2bd859d6e407\",0,\"lean_workbook_plus_49117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011523.lean\",\"728eebce5304ce06f51cb81266666e92b05b10ef8b886416b9ab3212d5da819b\",0,\"lean_workbook_plus_80621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202938,
+      "path": "data/train/pac/oproofs-s00002-r00011520-n000004-0000-c25088d605f4c194.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c25088d605f4c194c7fa5084ccab903e417655d6c2ed75b3ad163fd9c05a520f"
+    },
+    {
+      "bytes": 75888,
+      "path": "data/internal_test/pac/oproofs-s00002-r00011520-n000004-0000-2cc9480ec990a717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "2cc9480ec990a717b2d98ccf72fd9d82b7620b9520711653a61f3feb94d35dc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011524-n000004.json b/manifests/batches/oproofs/s00002-r00011524-n000004.json
index c439e9a821f89d0dd362091f8af0aad08108b3c5..47dd0cc7d929e8e21df8bb63fdcd1bc6bdade736 100644
--- a/manifests/batches/oproofs/s00002-r00011524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011524-n000004",
   "batch_fingerprint": "8d6c9e20a5d100b53b0a75ebdf4220bbbc87522f4a77df18b1dad2f7e9fbc810",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011524-n000004-0000-5e7fe4d6a74856fb.parquet",
-      "sha256": "5e7fe4d6a74856fb6276f3bc700de7ad4a6ce2f69b20f474ef22536168adc68e",
-      "bytes": 517700,
-      "rows": 19,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011525.lean\",\"0a52f7a30662295e8d5fddfce18ed5f4ac93a64c9b2c38ef6043e94765e01b30\",0,\"lean_workbook_plus_71906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011526.lean\",\"d67b2fdfb6196c9038d86fafeaa6daf582b0440ba7c544b2a18ee6fd7b4263e4\",0,\"lean_workbook_plus_38416\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011527.lean\",\"dbc04dea07637034bbeebd0b708b58774edc1ed90fe90bc1a72a2bd9ddd950db\",0,\"lean_workbook_plus_22884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 517700,
+      "path": "data/train/pfa/oproofs-s00002-r00011524-n000004-0000-5e7fe4d6a74856fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "5e7fe4d6a74856fb6276f3bc700de7ad4a6ce2f69b20f474ef22536168adc68e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011528-n000004.json b/manifests/batches/oproofs/s00002-r00011528-n000004.json
index 743b9d293b31f048e62ed2bb0bd86d8b4d6d130d..a816918f280fb9121a9a92e6e734a5a1dd1b5e99 100644
--- a/manifests/batches/oproofs/s00002-r00011528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011528-n000004",
   "batch_fingerprint": "2bcfaaa79b0ea1b1e2f2d2565437d287d228e116fb01c0ef74525adf6d747e6d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011528-n000004-0000-4201858664f5b2ee.parquet",
-      "sha256": "4201858664f5b2eed8204062051d6ceb580f4fe66dd9fb7f122af0f03ee5b153",
-      "bytes": 812283,
-      "rows": 34,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011528-n000004-0000-80d3baa364765af8.parquet",
-      "sha256": "80d3baa364765af8b6ec52c3b781c7dff57339b2181ca8b9839e9b73acca09f6",
-      "bytes": 118671,
-      "rows": 6,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011529.lean\",\"0b09407de8e13b71e94d58d9d5015a90ce830df929776cc63daf3a4311479988\",0,\"lean_workbook_plus_36252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011530.lean\",\"cb01742071a3b76550db5a229502d16eb3af23499d66e26b805b8e1d48db2353\",0,\"function_root_implies_a_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011531.lean\",\"19b78d6bf23287b546b0b1073955499b29f2eac1caaa77a60c7c649ac73ace55\",0,\"lean_workbook_plus_20239\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 812283,
+      "path": "data/train/pdf/oproofs-s00002-r00011528-n000004-0000-4201858664f5b2ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "4201858664f5b2eed8204062051d6ceb580f4fe66dd9fb7f122af0f03ee5b153"
+    },
+    {
+      "bytes": 118671,
+      "path": "data/dev/pdf/oproofs-s00002-r00011528-n000004-0000-80d3baa364765af8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "80d3baa364765af8b6ec52c3b781c7dff57339b2181ca8b9839e9b73acca09f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011532-n000004.json b/manifests/batches/oproofs/s00002-r00011532-n000004.json
index c36bb4037fe827d603083945297debf5c2812d4f..2dfd3fd3f8a72408a7bafd165af40bff70b0ffad 100644
--- a/manifests/batches/oproofs/s00002-r00011532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011532-n000004",
   "batch_fingerprint": "f04d32c83775140338642f134b45e32a7b2eda6051efff040b3035803b0df54f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011532-n000004-0000-901ab23dcf09246d.parquet",
-      "sha256": "901ab23dcf09246dbac11b402b3c994769cb9062c722b592199924aec1bff046",
-      "bytes": 222681,
-      "rows": 10,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011532-n000004-0000-4c686e6e59f2bbf0.parquet",
-      "sha256": "4c686e6e59f2bbf0a9b3da81191ba2f67a3529f0a1f1fb857b60f1f23c151be7",
-      "bytes": 145407,
-      "rows": 6,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011533.lean\",\"1985c6057de88acdc003604ff0637aa3e5a78ef7759566b22c5c8f71b0be30c8\",0,\"lean_workbook_12392\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011534.lean\",\"c149264013cd2548bb1a96a4ef02c7409263fe04c94f31ed797d20a69d5bc38b\",0,\"lean_workbook_50310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011535.lean\",\"11b23ba753bf8cbc1885a8a43d40eb16f761278e70dada8d5a49155e37b7afb2\",0,\"lean_workbook_plus_76791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222681,
+      "path": "data/train/p5f/oproofs-s00002-r00011532-n000004-0000-901ab23dcf09246d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "901ab23dcf09246dbac11b402b3c994769cb9062c722b592199924aec1bff046"
+    },
+    {
+      "bytes": 145407,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00011532-n000004-0000-4c686e6e59f2bbf0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4c686e6e59f2bbf0a9b3da81191ba2f67a3529f0a1f1fb857b60f1f23c151be7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011536-n000004.json b/manifests/batches/oproofs/s00002-r00011536-n000004.json
index 3fd0a26d5d9487a441c8f12274ddb435aaa760db..134c9a7d115687f499d85d5277312d23e13723b7 100644
--- a/manifests/batches/oproofs/s00002-r00011536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011536-n000004",
   "batch_fingerprint": "03ef49facbdb8941d214ef25948dfcabe949aea13ebf7cf5aa781e3da1b71469",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011536-n000004-0000-c8e2e49c958dd1b3.parquet",
-      "sha256": "c8e2e49c958dd1b36a507b4777f93117eb1e570459836d03df9fa9d5fd4578ca",
-      "bytes": 441320,
-      "rows": 22,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011536-n000004-0000-369e6023f3196293.parquet",
-      "sha256": "369e6023f3196293e450a368c9d58f6831363f9e2de51b31a3f93ee3c70e0567",
-      "bytes": 40998,
-      "rows": 2,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011537.lean\",\"99b10a7ed62ac8f552466536ef1ca358e7e2cd11942977775943df352e46c814\",0,\"lean_workbook_15936\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011538.lean\",\"db12773bfebfd9cf332c8c2ae0e7ff619f483142cc8d74251d2c03f91bb62977\",0,\"lean_workbook_29213\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011539.lean\",\"dc1220d7b45059931d4bea9a0a6e0013f2ebc8ceef325679656b29176fffd60b\",0,\"lean_workbook_plus_24667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441320,
+      "path": "data/train/pb6/oproofs-s00002-r00011536-n000004-0000-c8e2e49c958dd1b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c8e2e49c958dd1b36a507b4777f93117eb1e570459836d03df9fa9d5fd4578ca"
+    },
+    {
+      "bytes": 40998,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00011536-n000004-0000-369e6023f3196293.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "369e6023f3196293e450a368c9d58f6831363f9e2de51b31a3f93ee3c70e0567"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011540-n000004.json b/manifests/batches/oproofs/s00002-r00011540-n000004.json
index 4e393acfff76cb4bb19eb376aa95cb0b6100bab8..a8c134e70e745b29c724d2d0714da9209c24e117 100644
--- a/manifests/batches/oproofs/s00002-r00011540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011540-n000004",
   "batch_fingerprint": "6bf64caa0cc6a92f4785dd7227762bd3012d1b90f65e10c298a510bc802cb113",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011540-n000004-0000-0daae94c1f9d4df3.parquet",
-      "sha256": "0daae94c1f9d4df313df2748f2a11ecaf20c14d51ccae508f9b89ac17fdac34a",
-      "bytes": 76462,
-      "rows": 8,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011540-n000004-0000-21ec5d6e7d2cd717.parquet",
-      "sha256": "21ec5d6e7d2cd717d07ba78b8df1af6895483666a662392fa0de5a758babbe8a",
-      "bytes": 74381,
-      "rows": 7,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011541.lean\",\"0d28784e7fa49ae5726910e5e4041e61bfb07fa1006916d2639140ac59d1a604\",0,\"lean_workbook_plus_39600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011542.lean\",\"2dfbebc34c0bb874de40e5c1be63553c4a9e205482d866d9972fd9e554b33789\",0,\"lean_workbook_plus_78382\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011543.lean\",\"7659e3345d1ac9c7dff44831f9d2eb8f924de19c8cb23e153b948cfecdcdbfd4\",0,\"lean_workbook_14621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76462,
+      "path": "data/train/p60/oproofs-s00002-r00011540-n000004-0000-0daae94c1f9d4df3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0daae94c1f9d4df313df2748f2a11ecaf20c14d51ccae508f9b89ac17fdac34a"
+    },
+    {
+      "bytes": 74381,
+      "path": "data/internal_test/p60/oproofs-s00002-r00011540-n000004-0000-21ec5d6e7d2cd717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "21ec5d6e7d2cd717d07ba78b8df1af6895483666a662392fa0de5a758babbe8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011544-n000004.json b/manifests/batches/oproofs/s00002-r00011544-n000004.json
index 6a2a6474f7a1b4a5c34004c910fee109156ee755..10d99e66a10d0a5e8cabb0c07011568ea11abd06 100644
--- a/manifests/batches/oproofs/s00002-r00011544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011544-n000004",
   "batch_fingerprint": "f2758cb3842fc8bd670184f2506b59c94f64ca8592987666a71f20084997d888",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011544-n000004-0000-2b1591503ebfa85b.parquet",
-      "sha256": "2b1591503ebfa85bf5f6c5cfbfd752c97b548e20fd0e13ac0c41d8c4c9d78d02",
-      "bytes": 435823,
-      "rows": 9,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011544-n000004-0000-e5d81bb0e0df7265.parquet",
-      "sha256": "e5d81bb0e0df7265d2455aaa7aeba6398269c37c2ce336fa117bdeec7869dce7",
-      "bytes": 263988,
-      "rows": 13,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011545.lean\",\"ead0565d610fc216680596be5b664244248bd5cb772cc9270af50099ac7f6adf\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011546.lean\",\"51ce482ccb4d7d96d4c53cb6903f324632a57b6590b4fda37e0b058a67800d61\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011547.lean\",\"f9551350db454f43069ad116803ea7a3a532109448669a4ad859fc1677d9f4b3\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 435823,
+      "path": "data/train/p5e/oproofs-s00002-r00011544-n000004-0000-2b1591503ebfa85b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "2b1591503ebfa85bf5f6c5cfbfd752c97b548e20fd0e13ac0c41d8c4c9d78d02"
+    },
+    {
+      "bytes": 263988,
+      "path": "data/internal_test/p5e/oproofs-s00002-r00011544-n000004-0000-e5d81bb0e0df7265.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e5d81bb0e0df7265d2455aaa7aeba6398269c37c2ce336fa117bdeec7869dce7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011548-n000004.json b/manifests/batches/oproofs/s00002-r00011548-n000004.json
index 634bed609ce1303ea6813790092b44ed2c8ac9e4..6ca0ba4c25bd3b177ada792a80d8a712f600ce50 100644
--- a/manifests/batches/oproofs/s00002-r00011548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011548-n000004",
   "batch_fingerprint": "c1416b11a9d7e534361ab0aeca8a8bcd35b48bfe7c5a0ccbffb9d39c8e3a03f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011548-n000004-0000-adef652d43440450.parquet",
-      "sha256": "adef652d43440450ccee257911101cece8f9ab218dcff1ecfce681be7111690e",
-      "bytes": 288733,
-      "rows": 21,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011549.lean\",\"6a4d4220e19fcd94e9e45b9773c3fcac6716704242026bb2496e1eed7b1bb0b3\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011550.lean\",\"ff8dee7af6d1a0d75e4ec71fa7bf5e059db0701a961dadc9b5d2afae7b3e1bfa\",0,\"lean_workbook_plus_75361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011551.lean\",\"6e3823ab6ef9c71abecddb348e8e13c08ba6d11188620b1f720538780f8a1d18\",0,\"lean_workbook_plus_82836\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288733,
+      "path": "data/train/p5f/oproofs-s00002-r00011548-n000004-0000-adef652d43440450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "adef652d43440450ccee257911101cece8f9ab218dcff1ecfce681be7111690e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011552-n000004.json b/manifests/batches/oproofs/s00002-r00011552-n000004.json
index 0ddff22bcfa3bed25caa5be683fbbb5867d86c01..a7177c41a6eb67b8b566a174d13748edabad858e 100644
--- a/manifests/batches/oproofs/s00002-r00011552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011552-n000004",
   "batch_fingerprint": "c1036d28e4d04c5cde3c3e60c1177ff2bd9359d0b718e967a944aa7834e334f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011552-n000004-0000-b6b047ff78ef8dc4.parquet",
-      "sha256": "b6b047ff78ef8dc4aff2860e747cff2b65a2c76a9c4a0708a110947c71f7f1bf",
-      "bytes": 527742,
-      "rows": 21,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11553",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011553.lean\",\"a2e8b4f6f73f8c27b2f14f64c49ea38b3dd324a18b484617a755d41a9fb62102\",0,\"lean_workbook_12108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011554.lean\",\"d937e0cc02c711c66175113f927a384989efd82671bffd7709194642aff75139\",0,\"lean_workbook_plus_28322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011555.lean\",\"f7ed09a3e886d355847893b09d7fddecdc236006002a297a3ef77271948388d6\",0,\"Real.sqrt_3\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 527742,
+      "path": "data/train/p53/oproofs-s00002-r00011552-n000004-0000-b6b047ff78ef8dc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b6b047ff78ef8dc4aff2860e747cff2b65a2c76a9c4a0708a110947c71f7f1bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011556-n000004.json b/manifests/batches/oproofs/s00002-r00011556-n000004.json
index 1d9551b392b8190de394e0a35137fa9a65494de0..63a2d330fd90839f07d3b19901cdb55d96e5049b 100644
--- a/manifests/batches/oproofs/s00002-r00011556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011556-n000004",
   "batch_fingerprint": "ee6a6d2f687e5206bc758752f6f989fb7d95961da713c795d069e2a6de952f1b",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11556",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11557",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11558",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11559"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011556.lean\",\"cc343d86e7f123b432d8ec2353222163b1e50ec56a2ce55a31be065ebe6664e0\",0,\"q\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011557.lean\",\"20fd255c62aabaa33c9f6ce6117f52900474326f2fca2bc984c0e37ed9f12465\",0,\"lean_workbook_plus_33617\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011558.lean\",\"46b2594a3920bdaa434efe70136a706370ec781f7a22d48f93e4b6adaa439020\",0,\"lean_workbook_plus_54444\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011559.lean\",\"8cf052e374f8a959e6ee90ddc7c6d9f859fc0546be80f83b9d59e9b725b9eb75\",0,\"divisible_by_72_square\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011556-n000004-0000-01d63e83b35aa1b7.parquet",
-      "sha256": "01d63e83b35aa1b797d9c7ad82232cedb14d4e71d5a93b4e50345738287ef248",
       "bytes": 590007,
+      "path": "data/train/p95/oproofs-s00002-r00011556-n000004-0000-01d63e83b35aa1b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
+      "sha256": "01d63e83b35aa1b797d9c7ad82232cedb14d4e71d5a93b4e50345738287ef248"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011556-n000004-0001-901c4cd60cc98a17.parquet",
-      "sha256": "901c4cd60cc98a176757bd1035264e5b2ca3dd40ce6fa4698e60607a2a450505",
       "bytes": 742527,
+      "path": "data/train/p95/oproofs-s00002-r00011556-n000004-0001-901c4cd60cc98a17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
+      "sha256": "901c4cd60cc98a176757bd1035264e5b2ca3dd40ce6fa4698e60607a2a450505"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011556-n000004-0000-a8e880cf1733015c.parquet",
-      "sha256": "a8e880cf1733015cfe65e25046d490e40a8ce0eedb7e6f58190c397345066324",
       "bytes": 136512,
+      "path": "data/internal_test/p95/oproofs-s00002-r00011556-n000004-0000-a8e880cf1733015c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
+      "sha256": "a8e880cf1733015cfe65e25046d490e40a8ce0eedb7e6f58190c397345066324"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11556",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11557",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11558",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11559"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011556.lean\",\"cc343d86e7f123b432d8ec2353222163b1e50ec56a2ce55a31be065ebe6664e0\",0,\"q\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011557.lean\",\"20fd255c62aabaa33c9f6ce6117f52900474326f2fca2bc984c0e37ed9f12465\",0,\"lean_workbook_plus_33617\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011558.lean\",\"46b2594a3920bdaa434efe70136a706370ec781f7a22d48f93e4b6adaa439020\",0,\"lean_workbook_plus_54444\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011559.lean\",\"8cf052e374f8a959e6ee90ddc7c6d9f859fc0546be80f83b9d59e9b725b9eb75\",0,\"divisible_by_72_square\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011560-n000004.json b/manifests/batches/oproofs/s00002-r00011560-n000004.json
index 72ccc91b63ea4513966d6cc2693ff9d30e6a2463..67cb81eb5570c477d9a3c1b11a814782faf1e1cb 100644
--- a/manifests/batches/oproofs/s00002-r00011560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011560-n000004",
   "batch_fingerprint": "0efb5d00b26dea68d9ad6cf64e599766d6aecd1462411e9d4165c46034e2039f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011560-n000004-0000-8c066d6a51fd4e03.parquet",
-      "sha256": "8c066d6a51fd4e038c06214faaf2dc0c79eb7b6fe3dd9bf7cb86dac28a3525aa",
-      "bytes": 345183,
-      "rows": 19,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11561",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011561.lean\",\"26159598ca7251fbd17272c8646e9759abf18ec11fb4dea5e3e09511d5bc829c\",0,\"lean_workbook_plus_60570\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011562.lean\",\"8bb4f36479c979b966d158bd4e178b648c4644c90f6d2e16f569a148e59f211a\",0,\"lean_workbook_plus_71923\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011563.lean\",\"078036568d7df666b078271bbe58a851e0b36dce115913a3c5cb5345b85d91be\",0,\"lean_workbook_56772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345183,
+      "path": "data/train/pdb/oproofs-s00002-r00011560-n000004-0000-8c066d6a51fd4e03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "8c066d6a51fd4e038c06214faaf2dc0c79eb7b6fe3dd9bf7cb86dac28a3525aa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011564-n000004.json b/manifests/batches/oproofs/s00002-r00011564-n000004.json
index 6f497e68c13803f8959eb5d85e4869c72b1ab17b..87fd46b71f4bc1fa3b914c333c73b4940fa79c0b 100644
--- a/manifests/batches/oproofs/s00002-r00011564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011564-n000004",
   "batch_fingerprint": "ef5c6f97c44c7d97e7b7f0fbb10621e867c26b891215dfb11b802fec7c3ae43a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011564-n000004-0000-f51ce551e1925a9a.parquet",
-      "sha256": "f51ce551e1925a9a831469bfd391bd49abe220a272ed3d7a03bfd688d068f1d0",
-      "bytes": 432658,
-      "rows": 26,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011564-n000004-0000-55d10e62521e0fab.parquet",
-      "sha256": "55d10e62521e0fab34ad8cbc30646cc7e09d7ce3666f04bfda7cf3b7df38b09a",
-      "bytes": 176409,
-      "rows": 5,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011565.lean\",\"b5d148c690db59eed6861c4b77501fb4b062089f36b977406c42c1e37b44e35e\",0,\"lean_workbook_plus_17667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011566.lean\",\"c79688c4e75e791d003f9efa4d351a7de913014baa65c4dfecc9f28144763197\",0,\"lean_workbook_plus_66049\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011567.lean\",\"d03a7ef30b26ec2836e720981593bdf61100b96b590f9d53eb58463310c921a3\",0,\"lean_workbook_plus_57983\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432658,
+      "path": "data/train/p21/oproofs-s00002-r00011564-n000004-0000-f51ce551e1925a9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "f51ce551e1925a9a831469bfd391bd49abe220a272ed3d7a03bfd688d068f1d0"
+    },
+    {
+      "bytes": 176409,
+      "path": "data/dev/p21/oproofs-s00002-r00011564-n000004-0000-55d10e62521e0fab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "55d10e62521e0fab34ad8cbc30646cc7e09d7ce3666f04bfda7cf3b7df38b09a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011568-n000004.json b/manifests/batches/oproofs/s00002-r00011568-n000004.json
index 126430b69d64f9117c01bd81885bbeeb02c3ca33..46c9836853ffd17685584d6f7090abf2c86956e3 100644
--- a/manifests/batches/oproofs/s00002-r00011568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011568-n000004",
   "batch_fingerprint": "99fee912eb1b69c766d8a1c0199fa74a035112a98031802168f7b89ad9ae0c90",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011568-n000004-0000-a6f9583fb3884b71.parquet",
-      "sha256": "a6f9583fb3884b711dc6dc752a1e2f47a6e2e68fc0034abafc636d6ab6fde8dd",
-      "bytes": 380404,
-      "rows": 22,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011568-n000004-0000-c0d50b64b96c9930.parquet",
-      "sha256": "c0d50b64b96c993028d920748418c0251036b13b8a08813204c208c20819ae9e",
-      "bytes": 70604,
-      "rows": 3,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11569",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011569.lean\",\"36636220b8def0feb0db4c07b0a8b4586d32517c3450494924f79f4c103fb544\",0,\"lean_workbook_plus_72405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011570.lean\",\"462813ebf7a77037187693bf50a3a1b1dd84cc6ab09e7412a0c5a565f868f729\",0,\"lean_workbook_38647\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011571.lean\",\"96ee06420c5747734cf5fc76687e1c9321d03a27b8419ad5f02374dfd19ecd26\",0,\"lean_workbook_plus_59493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 380404,
+      "path": "data/train/p1e/oproofs-s00002-r00011568-n000004-0000-a6f9583fb3884b71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "a6f9583fb3884b711dc6dc752a1e2f47a6e2e68fc0034abafc636d6ab6fde8dd"
+    },
+    {
+      "bytes": 70604,
+      "path": "data/internal_test/p1e/oproofs-s00002-r00011568-n000004-0000-c0d50b64b96c9930.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c0d50b64b96c993028d920748418c0251036b13b8a08813204c208c20819ae9e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011572-n000004.json b/manifests/batches/oproofs/s00002-r00011572-n000004.json
index 72ca075a0f4df8fb66a0ee643d5f7b4eb2b325ad..d7d5a65544cdb9269b955721104154eb690a27f9 100644
--- a/manifests/batches/oproofs/s00002-r00011572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011572-n000004",
   "batch_fingerprint": "989484505a6aed48500f6e8ce0d8faee3361a06649ec7086aaa1cdd8b53f7f87",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011572-n000004-0000-8c042d8703bb7359.parquet",
-      "sha256": "8c042d8703bb7359488e640385786ccc7387cde3ee8160639f18551e7961f207",
-      "bytes": 212617,
-      "rows": 17,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011573.lean\",\"4f1d6028c64821cba4beb9097a797c8ddb98139a34f4020b7003155023dc9643\",0,\"lean_workbook_plus_75423\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011574.lean\",\"f666a8e61df09e7291a44df38512d4765f0683582ff5d7d3b8c8c02fd32abed4\",0,\"lean_workbook_18799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011575.lean\",\"b8e0a709f70d56934ca1ed6ed881ff371e05d9a6586c002a0e25a53d57048ee4\",0,\"lean_workbook_plus_21333\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212617,
+      "path": "data/train/pae/oproofs-s00002-r00011572-n000004-0000-8c042d8703bb7359.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8c042d8703bb7359488e640385786ccc7387cde3ee8160639f18551e7961f207"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011576-n000004.json b/manifests/batches/oproofs/s00002-r00011576-n000004.json
index 54763e15d3972025509ca8ac87429a5e26b00de0..f7ffc5dc4d02c7ada340a4bcdb20f8cced821851 100644
--- a/manifests/batches/oproofs/s00002-r00011576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011576-n000004",
   "batch_fingerprint": "9c0d4b8f823f8b824b8a65f3263c99a2abc321eda490c4ae626457ea6e0b1f16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011576-n000004-0000-67e4e0352a378146.parquet",
-      "sha256": "67e4e0352a3781465f514cb45b4b232e55105d54b22d8c79111d5c721d9a3a4a",
-      "bytes": 358674,
-      "rows": 10,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011576-n000004-0000-28a81e988d7bdbaf.parquet",
-      "sha256": "28a81e988d7bdbaf819d7cdc0a37f62e6f06609493a7a735ff597afb15ea12fb",
-      "bytes": 674681,
-      "rows": 17,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11577",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011577.lean\",\"34ed10c0af29bb91f2c155fa1418c896b00eafee16642a9513aaeee3d45a4c55\",0,\"lean_workbook_48603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011578.lean\",\"06234c3ab7f9bab59266f9aace33039445f0bf2bf32730c73cd420ef47d6382d\",0,\"lean_workbook_plus_74221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011579.lean\",\"31362d7e248fbfec3964fb35dbc0bd0011a2f748258e92fd4d0053d888972972\",0,\"complex_sixth_root_unity_values\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358674,
+      "path": "data/train/p2d/oproofs-s00002-r00011576-n000004-0000-67e4e0352a378146.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "67e4e0352a3781465f514cb45b4b232e55105d54b22d8c79111d5c721d9a3a4a"
+    },
+    {
+      "bytes": 674681,
+      "path": "data/dev/p2d/oproofs-s00002-r00011576-n000004-0000-28a81e988d7bdbaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "28a81e988d7bdbaf819d7cdc0a37f62e6f06609493a7a735ff597afb15ea12fb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011580-n000004.json b/manifests/batches/oproofs/s00002-r00011580-n000004.json
index 8455eb9e47e1f9251881e1fd1c0c1b363823fdba..cceecddf7bf829fb9df4741cb2163efdbdf8df1f 100644
--- a/manifests/batches/oproofs/s00002-r00011580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011580-n000004",
   "batch_fingerprint": "d825249816c78ec9728e65a707c93b6eb9335ac8858f7199efb59c9f5779ba27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011580-n000004-0000-152bfc0263fa9110.parquet",
-      "sha256": "152bfc0263fa9110128bd0ccdb14c799a598380e56f2b75474f04d06a0b9311a",
-      "bytes": 311463,
-      "rows": 14,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011580-n000004-0000-2d64e8cf09188d8c.parquet",
-      "sha256": "2d64e8cf09188d8cd0f7f71cf4e12600b19c1aef5426b7afc7946dcab3a88749",
-      "bytes": 45990,
-      "rows": 4,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011581.lean\",\"04d34f35ddac52376b259a020ec06d71d444baafb9c19f4bd3e82961164efdec\",0,\"lean_workbook_plus_49117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011582.lean\",\"a1c93a08e098b7e348aae793339847e85e8101eaffa2402d8ef208a04bb68039\",0,\"lean_workbook_plus_35641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011583.lean\",\"c22410364f3acbef0f84e2eebb2be9e60eced17d69aaaf96678ce558a67c80e0\",0,\"lean_workbook_plus_37035\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 311463,
+      "path": "data/train/p97/oproofs-s00002-r00011580-n000004-0000-152bfc0263fa9110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "152bfc0263fa9110128bd0ccdb14c799a598380e56f2b75474f04d06a0b9311a"
+    },
+    {
+      "bytes": 45990,
+      "path": "data/internal_test/p97/oproofs-s00002-r00011580-n000004-0000-2d64e8cf09188d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2d64e8cf09188d8cd0f7f71cf4e12600b19c1aef5426b7afc7946dcab3a88749"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011584-n000004.json b/manifests/batches/oproofs/s00002-r00011584-n000004.json
index 0653e302835f168eb0f293dea1110817e9b780d3..fb41263ee6066143d7a59164025b2c49a944390d 100644
--- a/manifests/batches/oproofs/s00002-r00011584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011584-n000004",
   "batch_fingerprint": "f31f27f7226a0d48e807adbd6ca73d752705f09c03350d5f7f6326ecae8eab09",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011584-n000004-0000-a263bf27bbda2de7.parquet",
-      "sha256": "a263bf27bbda2de770e29302224f5b96e2ed8e848f2a90877cb4171cc0efca56",
-      "bytes": 201623,
-      "rows": 14,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011584-n000004-0000-26fa6f3141f3375a.parquet",
-      "sha256": "26fa6f3141f3375a77c680df80c5c8103c451236efa01ebf392362b12a3d78ea",
-      "bytes": 89609,
-      "rows": 5,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11585",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011585.lean\",\"348083f14b05fd78abd31d9009eeb248e20824afb23a1d32a60fd22a593031a4\",0,\"lean_workbook_plus_67961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011586.lean\",\"a2a9c5e640291ae03079ad8c38492ecd01e338295af05c32939a06ac6c0ad5de\",0,\"lean_workbook_plus_68236\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011587.lean\",\"acffb64c981e5bb6e39a9a19f3f483b012b09a79e6c8eee983d7d28d09e75824\",0,\"lean_workbook_plus_71906\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201623,
+      "path": "data/train/p1a/oproofs-s00002-r00011584-n000004-0000-a263bf27bbda2de7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a263bf27bbda2de770e29302224f5b96e2ed8e848f2a90877cb4171cc0efca56"
+    },
+    {
+      "bytes": 89609,
+      "path": "data/internal_test/p1a/oproofs-s00002-r00011584-n000004-0000-26fa6f3141f3375a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "26fa6f3141f3375a77c680df80c5c8103c451236efa01ebf392362b12a3d78ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011588-n000004.json b/manifests/batches/oproofs/s00002-r00011588-n000004.json
index 423d3fe310f4f286b8d7562e21288d698643168a..3c2ce5129d33ff62d6a386b9924544e113b5bcda 100644
--- a/manifests/batches/oproofs/s00002-r00011588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011588-n000004",
   "batch_fingerprint": "979213fd133e80685cd9c72f464c61e10eba859919440d9ab32bf46cde77f916",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011588-n000004-0000-b0d35f92891f88b7.parquet",
-      "sha256": "b0d35f92891f88b76a461b922f78c215b8e79c441c555acd45e69fa1da0e2b84",
-      "bytes": 172407,
-      "rows": 17,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011588-n000004-0000-09c01e56c8102eee.parquet",
-      "sha256": "09c01e56c8102eeeb31b4e53e6eed4653cc4f6cf1d9b14024afdcab35cc511e5",
-      "bytes": 53815,
-      "rows": 5,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011589.lean\",\"b1d5a5c6f037f96438ea08af6e0ab77d7c4e338148e5659a7eeed6279f5fa8ac\",0,\"lean_workbook_plus_67931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011590.lean\",\"fd677f6e8cf7e0b48017470a710ab22292117699fe3be9a493ec2a188f754706\",0,\"lean_workbook_plus_36252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011591.lean\",\"c5f15080a64913868ec250c71099509cc9c2900f52d20c3896e9448cfe8f6131\",0,\"lean_workbook_plus_22884\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172407,
+      "path": "data/train/p79/oproofs-s00002-r00011588-n000004-0000-b0d35f92891f88b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b0d35f92891f88b76a461b922f78c215b8e79c441c555acd45e69fa1da0e2b84"
+    },
+    {
+      "bytes": 53815,
+      "path": "data/internal_test/p79/oproofs-s00002-r00011588-n000004-0000-09c01e56c8102eee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "09c01e56c8102eeeb31b4e53e6eed4653cc4f6cf1d9b14024afdcab35cc511e5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011592-n000004.json b/manifests/batches/oproofs/s00002-r00011592-n000004.json
index a70321c0761d7316b6dcfe79e36361572c6e789f..ee5664524dd3315b8d596375f174745291c21373 100644
--- a/manifests/batches/oproofs/s00002-r00011592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011592-n000004",
   "batch_fingerprint": "75db740d3139c04e5c58240b351688e81faaee45ba6598dd2990d0c475677a54",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11592",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11593",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11594",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11595"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011592.lean\",\"1deaac9b9374abf2edf206eab1a6062ce8eeca939967badcfbcc3ef52ea7e00d\",0,\"lean_workbook_plus_20239\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011593.lean\",\"8838ce9d7230b123bf8e475521f242f150f40dd9bf7c06509d520a78e9eb7485\",0,\"lean_workbook_plus_46478\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011594.lean\",\"b2c4f033e8de0074a5415e34ca3a4aef0dcbf226a7734dfb0eaacb99166917f4\",0,\"lean_workbook_50310\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011595.lean\",\"2baebc8c19e8a8a805ba5ca1aa217515a61bc514b50edac9963839eb65575e9f\",0,\"lean_workbook_plus_76791\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011592-n000004-0000-bd18076c90b94ae1.parquet",
-      "sha256": "bd18076c90b94ae186271f82d0b5a191e479216a2ae9b4199b260ada1d74f61a",
       "bytes": 174296,
+      "path": "data/train/p6b/oproofs-s00002-r00011592-n000004-0000-bd18076c90b94ae1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
+      "sha256": "bd18076c90b94ae186271f82d0b5a191e479216a2ae9b4199b260ada1d74f61a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011592-n000004-0000-c958906c49d792b7.parquet",
-      "sha256": "c958906c49d792b7e4474f803b5eeac6b3e50d21bdcb8c12ec2756ba045647e2",
       "bytes": 76717,
+      "path": "data/dev/p6b/oproofs-s00002-r00011592-n000004-0000-c958906c49d792b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
+      "sha256": "c958906c49d792b7e4474f803b5eeac6b3e50d21bdcb8c12ec2756ba045647e2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011592-n000004-0000-b0f3141bb620239c.parquet",
-      "sha256": "b0f3141bb620239c251d1f794661acff85972b2cde0231b53351980d85869c8d",
       "bytes": 149125,
+      "path": "data/internal_test/p6b/oproofs-s00002-r00011592-n000004-0000-b0f3141bb620239c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
+      "sha256": "b0f3141bb620239c251d1f794661acff85972b2cde0231b53351980d85869c8d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11592",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11593",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11594",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11595"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011592.lean\",\"1deaac9b9374abf2edf206eab1a6062ce8eeca939967badcfbcc3ef52ea7e00d\",0,\"lean_workbook_plus_20239\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011593.lean\",\"8838ce9d7230b123bf8e475521f242f150f40dd9bf7c06509d520a78e9eb7485\",0,\"lean_workbook_plus_46478\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011594.lean\",\"b2c4f033e8de0074a5415e34ca3a4aef0dcbf226a7734dfb0eaacb99166917f4\",0,\"lean_workbook_50310\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011595.lean\",\"2baebc8c19e8a8a805ba5ca1aa217515a61bc514b50edac9963839eb65575e9f\",0,\"lean_workbook_plus_76791\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011596-n000004.json b/manifests/batches/oproofs/s00002-r00011596-n000004.json
index 63dbdaaa9b399e8c8137fa457fe967fda71137ab..e2a82675a6114574a5c19bef0198747c292b93d6 100644
--- a/manifests/batches/oproofs/s00002-r00011596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011596-n000004",
   "batch_fingerprint": "ccb2c7822eda640094313acf9e25e72a97b08fffab3f7b533db27325a6a25cd9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011596-n000004-0000-36749eb2fcb6f5d5.parquet",
-      "sha256": "36749eb2fcb6f5d512897e50395ccc31ab941265cffb2467fbc6d0a85335ec61",
-      "bytes": 413268,
-      "rows": 31,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011597.lean\",\"bf4960b01708a8c8b6a4e24c0d715b09929c4c7bfe45e8b9b1023294ac78a205\",0,\"lean_workbook_plus_20189\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011598.lean\",\"a2e325c50e999d1cdd5a0fbfcdc0808f6f7be1afee12da9754a93b40170c9e06\",0,\"lean_workbook_15936\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011599.lean\",\"e25cfd235509a8643871e418ddbc35cdce2b563ae1bcf9cae3bb8d4ed2b2c149\",0,\"lean_workbook_29213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 413268,
+      "path": "data/train/p90/oproofs-s00002-r00011596-n000004-0000-36749eb2fcb6f5d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "36749eb2fcb6f5d512897e50395ccc31ab941265cffb2467fbc6d0a85335ec61"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011600-n000004.json b/manifests/batches/oproofs/s00002-r00011600-n000004.json
index cdbfd83a93a6682fbd08f47b6dde17566dcc9057..e05c6a0e5d33f0c157f3969c8f405a55c243a579 100644
--- a/manifests/batches/oproofs/s00002-r00011600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011600-n000004",
   "batch_fingerprint": "7a556979f404e8bbf473ac9d18efbd83a0b5ac7134fb4c140abed8425e51e7d3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011600-n000004-0000-760e0038bd8009fb.parquet",
-      "sha256": "760e0038bd8009fb4f7d9384c18a05718d02ccc3bb0f4906985fcecdf419a6bf",
-      "bytes": 186497,
-      "rows": 15,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011600-n000004-0000-eb8d871a0a9d16cf.parquet",
-      "sha256": "eb8d871a0a9d16cffdee3a9df957c83e7a0b6847c0279675f9ca8b521b612ade",
-      "bytes": 104544,
-      "rows": 10,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11601",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011601.lean\",\"d2b1f321373df561a1260a4574cbde54a34580536a6a8b117e2e220b074e0ad1\",0,\"lean_workbook_plus_29677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011602.lean\",\"ddf8dd8de87d79e84898d3a4a04ab7f092f1c8c97cd00ccb9bc4b2079ab80e69\",0,\"lean_workbook_14621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011603.lean\",\"3f739d4829d23be3d293dffcfcb8d9f599959bd2c3aee5522ab59dd5615861dd\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186497,
+      "path": "data/train/pf8/oproofs-s00002-r00011600-n000004-0000-760e0038bd8009fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "760e0038bd8009fb4f7d9384c18a05718d02ccc3bb0f4906985fcecdf419a6bf"
+    },
+    {
+      "bytes": 104544,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00011600-n000004-0000-eb8d871a0a9d16cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "eb8d871a0a9d16cffdee3a9df957c83e7a0b6847c0279675f9ca8b521b612ade"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011604-n000004.json b/manifests/batches/oproofs/s00002-r00011604-n000004.json
index b11b278bfeb3f163b3ceaff693cf5cd5974b73ce..c769aae6795cd5773151f389a8aab9521800eb81 100644
--- a/manifests/batches/oproofs/s00002-r00011604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011604-n000004",
   "batch_fingerprint": "b9f4e38c01a25288b2254cf214cb3278b83e1ffc1d22a6ac9d2b04a99ddfd9b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011604-n000004-0000-e716f8cef86b6af9.parquet",
-      "sha256": "e716f8cef86b6af9b1d83f273a13b407fc15cbd6d60f15926e58410c89aa4825",
-      "bytes": 350675,
-      "rows": 9,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011604-n000004-0000-293817c0374b68b9.parquet",
-      "sha256": "293817c0374b68b9483a9dc623c68dffe9fd527e0a79e729d427c34a1e955e82",
-      "bytes": 181979,
-      "rows": 6,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011605.lean\",\"d047e1ab8066067ce8be323d0db9dd0fde1dd7abb7e5dd0abc5f729d9a369b58\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011606.lean\",\"91be47c92e78f17ba880fa34e6d3d0e7df5c992a751a22d968a8a9bd84cc7dbc\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011607.lean\",\"68e2c712bc0b6b860cc89ec3bd8744df5c3af4874130edc1770ff7a998f29ed9\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 350675,
+      "path": "data/train/p4c/oproofs-s00002-r00011604-n000004-0000-e716f8cef86b6af9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e716f8cef86b6af9b1d83f273a13b407fc15cbd6d60f15926e58410c89aa4825"
+    },
+    {
+      "bytes": 181979,
+      "path": "data/internal_test/p4c/oproofs-s00002-r00011604-n000004-0000-293817c0374b68b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "293817c0374b68b9483a9dc623c68dffe9fd527e0a79e729d427c34a1e955e82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011608-n000004.json b/manifests/batches/oproofs/s00002-r00011608-n000004.json
index 2ce47304ce3b98caf1c63fa14d127afe3314efab..0ad3f5b33b0da75eb6ff55312f8756fb363be628 100644
--- a/manifests/batches/oproofs/s00002-r00011608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011608-n000004",
   "batch_fingerprint": "6a40ae59b6bd2640a1e1950d5f9644a1ad1229aa6e30caeac7eae34d4af49fdb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011608-n000004-0000-e3bde205e114b586.parquet",
-      "sha256": "e3bde205e114b586ea31ec121e217613f247cdc9e475359833c57767869412c5",
-      "bytes": 376388,
-      "rows": 24,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011609.lean\",\"d6795221e64731485e6b515f78859032ca13c87cc73a2cd0005a6f48a22ea6c0\",0,\"lean_workbook_plus_82836\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011610.lean\",\"32608eebc2c1f3f1da0e463c223aa0ce5e8de6402fab52251abcfc2daffd1779\",0,\"lean_workbook_plus_75361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011611.lean\",\"9b7faa3f6e8d02a462b654542fae81f50abe80ac7b65db0d958cdda6027c7b9d\",0,\"lean_workbook_12108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376388,
+      "path": "data/train/p5c/oproofs-s00002-r00011608-n000004-0000-e3bde205e114b586.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "e3bde205e114b586ea31ec121e217613f247cdc9e475359833c57767869412c5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011612-n000004.json b/manifests/batches/oproofs/s00002-r00011612-n000004.json
index c4fd6a949fb1e8e190fcd302668355244c7e154c..21bdc2e4df9d84c7c1dda701fa7bdfa9659c0d4a 100644
--- a/manifests/batches/oproofs/s00002-r00011612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011612-n000004",
   "batch_fingerprint": "ab552deefd9a9813267cb69b237dc0818510f847448284eda1bf804797296fe0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011612-n000004-0000-4920c4172a3fdecd.parquet",
-      "sha256": "4920c4172a3fdecdbcd4a1573c165a3701a50330659b8003f4872435b622ee4f",
-      "bytes": 334993,
-      "rows": 17,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011613.lean\",\"74d72999c42e557d7aeb7906976d2bf794289015bc02cb12595cfb036cc928b0\",0,\"lean_workbook_plus_33617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011614.lean\",\"b29e5fd6911a35a7b98956cccaf268526291b410baaea37ed8025984ee3963c1\",0,\"divisible_by_72_square\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011615.lean\",\"e0a331d29ca22e99e521332cea4c25916c378ff43fcd2a18bdd4b7f89b2dae5c\",0,\"lean_workbook_36235\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334993,
+      "path": "data/train/p1b/oproofs-s00002-r00011612-n000004-0000-4920c4172a3fdecd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "4920c4172a3fdecdbcd4a1573c165a3701a50330659b8003f4872435b622ee4f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011616-n000004.json b/manifests/batches/oproofs/s00002-r00011616-n000004.json
index 30b6a203c8535ffcfd039de220442715282aa2bf..218b754dfa5b56fba7f73d4b25b520f5764c906c 100644
--- a/manifests/batches/oproofs/s00002-r00011616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011616-n000004",
   "batch_fingerprint": "49085cf7d75bd4231594a8cf2d8c0b89d0ec623ef131a946dbd55ed9f0750d1e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011616-n000004-0000-48c60907a30f437f.parquet",
-      "sha256": "48c60907a30f437f98154c497fcefe4998620765bd15a168d931837bb0b3b3f6",
-      "bytes": 374878,
-      "rows": 27,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011617.lean\",\"fed218120229b015da0f7396b1f32435fba3d0954e4c06808fe04b003970eb6b\",0,\"lean_workbook_plus_71923\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011618.lean\",\"2e6df4a433650c9f15ccacc936a4a17545a2e1351ee0dfa7170d9664e7b1288e\",0,\"lean_workbook_plus_75641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011619.lean\",\"4b204c06a7bee4162cb02d6f232cf61fd7c01b2420a69e2a0119b36dd0216cf3\",0,\"lean_workbook_56772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 374878,
+      "path": "data/train/p10/oproofs-s00002-r00011616-n000004-0000-48c60907a30f437f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "48c60907a30f437f98154c497fcefe4998620765bd15a168d931837bb0b3b3f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011620-n000004.json b/manifests/batches/oproofs/s00002-r00011620-n000004.json
index 19a4d3361cc5e2c4d1656313e04eb6f61776f759..a0d760cb3460eb07c6783343199f313a30d43706 100644
--- a/manifests/batches/oproofs/s00002-r00011620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011620-n000004",
   "batch_fingerprint": "4fc9a4e65deaff7924a12a4ba5d38e39115605e7699d2961d4c308e4abc1a968",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011620-n000004-0000-3949f607db96c2bb.parquet",
-      "sha256": "3949f607db96c2bb8a7fda416e23e075f518d0bbf9136d425db5235c240c0277",
-      "bytes": 245918,
-      "rows": 18,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011620-n000004-0000-217ceb3bcaf48652.parquet",
-      "sha256": "217ceb3bcaf4865283e23754acfe68c1cc26981d7de128110d1987daf679b9ce",
-      "bytes": 167852,
-      "rows": 5,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11621",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011621.lean\",\"dee23c98a418fdc8bf82ad2b1901e00b1069467ff11472c8c081c2bfa47f5ac9\",0,\"lean_workbook_plus_79505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011622.lean\",\"fd1a9e2722823e8649959620b00a9d6117753ad204fa171a8dbc5bc1e92aa967\",0,\"lean_workbook_plus_17667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011623.lean\",\"65fb7f7447f9ca9e6a60e1833a0d578cd7bbb3f802c750943309a305a69432fc\",0,\"lean_workbook_plus_66049\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245918,
+      "path": "data/train/pce/oproofs-s00002-r00011620-n000004-0000-3949f607db96c2bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "3949f607db96c2bb8a7fda416e23e075f518d0bbf9136d425db5235c240c0277"
+    },
+    {
+      "bytes": 167852,
+      "path": "data/dev/pce/oproofs-s00002-r00011620-n000004-0000-217ceb3bcaf48652.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "217ceb3bcaf4865283e23754acfe68c1cc26981d7de128110d1987daf679b9ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011624-n000004.json b/manifests/batches/oproofs/s00002-r00011624-n000004.json
index 2b1013537c1ffeecf7f526ff9038d964ed8f7f1e..0f121aac3e8791b100fcb946e3a72d84792d5da5 100644
--- a/manifests/batches/oproofs/s00002-r00011624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011624-n000004",
   "batch_fingerprint": "fd84da9e27e2f6b7c64dee4aad18ff1309036b197ff7ef719ebee44c4b23236a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011624-n000004-0000-bf7b6b337add287e.parquet",
-      "sha256": "bf7b6b337add287e537b2234ea5929d2ed9a30382f211b8d7696a9ff7c019086",
-      "bytes": 170995,
-      "rows": 16,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011624-n000004-0000-c3f2d7bad8e6007d.parquet",
-      "sha256": "c3f2d7bad8e6007d42058c939e3018017648afafccd9f2880925582ef483144e",
-      "bytes": 67465,
-      "rows": 3,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011625.lean\",\"2c35aaa5c9190196aaef56ce79e724b19fb4eaf2153e79fc1530af7be9aaed8d\",0,\"lean_workbook_plus_57983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011626.lean\",\"2c7988750733794cffb47e7d3ec12b4dbf6017b006d3e699f49dc318e4427f54\",0,\"lean_workbook_plus_59493\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011627.lean\",\"1b28f96420b224cb8e30c2126ba6d591e2fd1bb79f7246ead904b513d7310525\",0,\"lean_workbook_18799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170995,
+      "path": "data/train/p35/oproofs-s00002-r00011624-n000004-0000-bf7b6b337add287e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bf7b6b337add287e537b2234ea5929d2ed9a30382f211b8d7696a9ff7c019086"
+    },
+    {
+      "bytes": 67465,
+      "path": "data/internal_test/p35/oproofs-s00002-r00011624-n000004-0000-c3f2d7bad8e6007d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3f2d7bad8e6007d42058c939e3018017648afafccd9f2880925582ef483144e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011628-n000004.json b/manifests/batches/oproofs/s00002-r00011628-n000004.json
index 3154acde1a7e93a8b467d6b2957466bfbc87665a..73bb848e976a0177af10bc9e6dfd728e62049195 100644
--- a/manifests/batches/oproofs/s00002-r00011628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011628-n000004",
   "batch_fingerprint": "1b8231ac46bab4ed83786f49d9114decc4a53796851ffc67cfd770e464bbe554",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011628-n000004-0000-0807837c403243ed.parquet",
-      "sha256": "0807837c403243edbe33a3c67d39d615562d5c8c5507952c6b5128c8d056193f",
-      "bytes": 212238,
-      "rows": 21,
-      "revision": "0b4d1f1bd78c1eab4a3bc68bf5357ed5960aed90"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011629.lean\",\"de14b5cf0e2e9f34ae126b95a37909b8e621f284a8b98b651292d4590ea7ee63\",0,\"lean_workbook_plus_69969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011630.lean\",\"97f5ea5c05ecab89b2e7b7d99ce88fb101cad425c9080f38cbe07732efd31491\",0,\"lean_workbook_plus_80926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011631.lean\",\"01959e075810dc6c9c41ea940c0bae8efc5adc1273b2b84c906a28d4e679b97c\",0,\"lean_workbook_48603\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212238,
+      "path": "data/train/p10/oproofs-s00002-r00011628-n000004-0000-0807837c403243ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0807837c403243edbe33a3c67d39d615562d5c8c5507952c6b5128c8d056193f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011632-n000004.json b/manifests/batches/oproofs/s00002-r00011632-n000004.json
index 9ea487ba8be60c6836f3d66de2f067b555106aaa..bf9a45bd4cd86901158d16712f353d489dbc579a 100644
--- a/manifests/batches/oproofs/s00002-r00011632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011632-n000004",
   "batch_fingerprint": "7d055a2747bbdb827a1349748912f37beef681e2da8bfe8d61609b5e749caadd",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011632-n000004-0000-e5037e1cbcb7189a.parquet",
-      "sha256": "e5037e1cbcb7189abe7be6894f9081db17b8c7552606efd9635287d23906d5f8",
-      "bytes": 387323,
-      "rows": 17,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011632-n000004-0000-a5ce64128c695090.parquet",
-      "sha256": "a5ce64128c69509055109184c980aa87ec7bd75f7c3b67400bfc67d860d7475e",
-      "bytes": 46876,
-      "rows": 3,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11633",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011632.lean\",\"b894da0b9dcc3f1aa2a40ee57016402c28d361a661a9a603a4cb93e60c1a97fb\",0,\"lean_workbook_plus_21333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011633.lean\",\"61ea0de0ead5c7968b6b35f5fe43064d9a9a7984093e09e123ce4d70d96a4d10\",0,\"lean_workbook_plus_72405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011634.lean\",\"481e2c96e2beb192fabba507328724f5d54e38764c5f1a03d63a19620a1f9527\",0,\"lean_workbook_36023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 387323,
+      "path": "data/train/p6f/oproofs-s00002-r00011632-n000004-0000-e5037e1cbcb7189a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e5037e1cbcb7189abe7be6894f9081db17b8c7552606efd9635287d23906d5f8"
+    },
+    {
+      "bytes": 46876,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00011632-n000004-0000-a5ce64128c695090.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a5ce64128c69509055109184c980aa87ec7bd75f7c3b67400bfc67d860d7475e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011636-n000004.json b/manifests/batches/oproofs/s00002-r00011636-n000004.json
index df5cad5eea7e639678215ca8eccc8419c6eff35c..69f4163a321e4a6d9f5defed534ef846d8aa64cc 100644
--- a/manifests/batches/oproofs/s00002-r00011636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011636-n000004",
   "batch_fingerprint": "513b8cbadb8fb8996b56d2c74a7f9f649c40accab2f2ee0ee92e574007948f97",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011636-n000004-0000-e98b913326d33a31.parquet",
-      "sha256": "e98b913326d33a319bb793307abb27bed9e2228e7054d48f23797af1a8dded55",
-      "bytes": 384484,
-      "rows": 13,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11636",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11638",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011636.lean\",\"e9beb8c7a1d7bf390b54fce76ac0319630b5cc3f0c75390a6f53be1716f6f1da\",0,\"lean_workbook_plus_35641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011638.lean\",\"98ebdba52f32a04e156cd3d7c5c50a03564026e8b69e3ac63107dfbe22c8a299\",0,\"lean_workbook_plus_74221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011639.lean\",\"a662b085acf5e060c60d3d846454d05c96eff882df1719e7b0958250d9f3126e\",0,\"lean_workbook_plus_68236\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384484,
+      "path": "data/train/pdb/oproofs-s00002-r00011636-n000004-0000-e98b913326d33a31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e98b913326d33a319bb793307abb27bed9e2228e7054d48f23797af1a8dded55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011640-n000004.json b/manifests/batches/oproofs/s00002-r00011640-n000004.json
index d10181333d346f89225df1c7f3cfbbac90d7d264..fb9abae99a5f5c4f0e5ae6eff594996cbf117e25 100644
--- a/manifests/batches/oproofs/s00002-r00011640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011640-n000004",
   "batch_fingerprint": "16dfac278caaeee4aa3f7cad5ed2b21725a552eb0164e88496344385a55f450c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011640-n000004-0000-732093281e06774d.parquet",
-      "sha256": "732093281e06774d1220ad7d279f0cda631c317720f8a90a881e30f09b04cac9",
-      "bytes": 437808,
-      "rows": 25,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011641.lean\",\"99fd41fbd33dc161fbd7e0c6c6a2db9fa6676f08b7a312a6df5ccaae5aa184d4\",0,\"lean_workbook_plus_13953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011642.lean\",\"a1c16db875bef981e4506b999538d8f074cc46e92eac21919dd53888f5ad6cb8\",0,\"lean_workbook_plus_71906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011643.lean\",\"1fb02407cb84ba08848b540ec43cae1cf93f2f60e6c16af763db504ee9bfbb27\",0,\"lean_workbook_plus_38416\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 437808,
+      "path": "data/train/p19/oproofs-s00002-r00011640-n000004-0000-732093281e06774d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "732093281e06774d1220ad7d279f0cda631c317720f8a90a881e30f09b04cac9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011644-n000004.json b/manifests/batches/oproofs/s00002-r00011644-n000004.json
index 3c1dca44e22d7f2d8620c135c2bc45d2a5a65b14..ebda39654df77b50c59b1e2e3a758c5cf0c2d913 100644
--- a/manifests/batches/oproofs/s00002-r00011644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011644-n000004",
   "batch_fingerprint": "5c3323aea97b35b0d37f90ed79e6d5d8b89c4144cbd2ac3b87d7d2a78af923ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011644-n000004-0000-2d6ea78ccae695e5.parquet",
-      "sha256": "2d6ea78ccae695e54a1ce84fe91821c3fb636be9c865bcc8650d97470cafa14e",
-      "bytes": 394622,
-      "rows": 14,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011644-n000004-0000-b05669f73372980c.parquet",
-      "sha256": "b05669f73372980c85724ba2a1c3839951a1b7ddf601f9f2b2947e5a80fa79dc",
-      "bytes": 53123,
-      "rows": 4,
-      "revision": "778cf1a69089c99bf7309d3d48c35cba9a4eccd0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011645.lean\",\"ba9ea8a3314a237e76b090ba0ca79dbb3be8d35077867766f47c8560100b4a7a\",0,\"lean_workbook_plus_67931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011646.lean\",\"ed66feae0d45bf7395e2a13b228bc3bd6a91732a56e76ede05151bf07329df94\",0,\"lean_workbook_plus_36252\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011647.lean\",\"8edd4a74b5c5894d3a8690490dad2de897a7b1c11ccfe8c644fe6d6b82ac9b97\",0,\"lean_workbook_plus_78244\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394622,
+      "path": "data/train/p09/oproofs-s00002-r00011644-n000004-0000-2d6ea78ccae695e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "2d6ea78ccae695e54a1ce84fe91821c3fb636be9c865bcc8650d97470cafa14e"
+    },
+    {
+      "bytes": 53123,
+      "path": "data/internal_test/p09/oproofs-s00002-r00011644-n000004-0000-b05669f73372980c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b05669f73372980c85724ba2a1c3839951a1b7ddf601f9f2b2947e5a80fa79dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011648-n000004.json b/manifests/batches/oproofs/s00002-r00011648-n000004.json
index 73cd0ce022f914724bbab9e841b399b3c1f3fb0e..34341deefbde4b01d1119953b9ace670b1fb1836 100644
--- a/manifests/batches/oproofs/s00002-r00011648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011648-n000004",
   "batch_fingerprint": "9ebf8fded23782b6b98c68e3ade7c2fcd9e8f5a04ea26611f3203b4f21dcfb29",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11648",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11649",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11650",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11651"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011648.lean\",\"322b01a4d9d5b4bc97d55ea2df886cf74d7d61f3903cc601cd6dc45ea3ba37d8\",0,\"lean_workbook_plus_22884\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011649.lean\",\"a5b79fa79c5239474444a8ffef31af52c9902f8ac53f6245ac5841f4beea2946\",0,\"lean_workbook_plus_20239\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011650.lean\",\"4d3d2ab3a87926d3e4a5e4dd1a719923e1cdb42dc786d03598320d820d235734\",0,\"lean_workbook_plus_46478\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011651.lean\",\"9d68c6f16c6501dacbe46b0956f232cb40e242dbf4a197c7e0b9d70046b3099e\",0,\"lean_workbook_50310\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011648-n000004-0000-a1eae9d7f7a8f650.parquet",
-      "sha256": "a1eae9d7f7a8f6505d0eedf4e5b213213ef90d23064cb636093956dc6208bd12",
       "bytes": 181836,
+      "path": "data/train/p30/oproofs-s00002-r00011648-n000004-0000-a1eae9d7f7a8f650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "a1eae9d7f7a8f6505d0eedf4e5b213213ef90d23064cb636093956dc6208bd12"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011648-n000004-0000-aeb60c6325d77514.parquet",
-      "sha256": "aeb60c6325d77514f8ec9dbbf5b24e6be1fa05e3a313b7064dccef3bb6496042",
       "bytes": 99781,
+      "path": "data/dev/p30/oproofs-s00002-r00011648-n000004-0000-aeb60c6325d77514.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "aeb60c6325d77514f8ec9dbbf5b24e6be1fa05e3a313b7064dccef3bb6496042"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011648-n000004-0000-da24a1f0fa284403.parquet",
-      "sha256": "da24a1f0fa284403b7fd7e5a514a4c0d7b7a9dde00b66a87e83bac6c6618e7b8",
       "bytes": 127803,
+      "path": "data/internal_test/p30/oproofs-s00002-r00011648-n000004-0000-da24a1f0fa284403.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "da24a1f0fa284403b7fd7e5a514a4c0d7b7a9dde00b66a87e83bac6c6618e7b8"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11648",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11649",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11650",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11651"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011648.lean\",\"322b01a4d9d5b4bc97d55ea2df886cf74d7d61f3903cc601cd6dc45ea3ba37d8\",0,\"lean_workbook_plus_22884\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011649.lean\",\"a5b79fa79c5239474444a8ffef31af52c9902f8ac53f6245ac5841f4beea2946\",0,\"lean_workbook_plus_20239\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011650.lean\",\"4d3d2ab3a87926d3e4a5e4dd1a719923e1cdb42dc786d03598320d820d235734\",0,\"lean_workbook_plus_46478\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011651.lean\",\"9d68c6f16c6501dacbe46b0956f232cb40e242dbf4a197c7e0b9d70046b3099e\",0,\"lean_workbook_50310\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011652-n000004.json b/manifests/batches/oproofs/s00002-r00011652-n000004.json
index 3fb7eeedd811583a5657ade88dd0709d1109e454..b386d366eb94549d062e736d407ca70220e9613e 100644
--- a/manifests/batches/oproofs/s00002-r00011652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011652-n000004",
   "batch_fingerprint": "668f8e41fb0e54642385ec59b8ba22ab8fb3c4602f4af9e364cb56cb9d0704e8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011652-n000004-0000-c2ec7695bb5adfe2.parquet",
-      "sha256": "c2ec7695bb5adfe2d27c14da74ca4387c00bd9c0955a8c3be8387c80f0544d97",
-      "bytes": 255639,
-      "rows": 19,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011653.lean\",\"74ebeded7263c526f081567eeb32fc904d816296b2f07022fff4cac7b9c4bdcb\",0,\"lean_workbook_plus_53884\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011654.lean\",\"38a85761b6edc0782a623705bbd9b9e17f3b5cc16a9fe70ef6c1670ba09bab2d\",0,\"lean_workbook_plus_20189\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011655.lean\",\"2563c8030ac48151a84c0543c6db0fe8fcb04da3b7dd73a63cb6dc47c25f410f\",0,\"lean_workbook_29213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255639,
+      "path": "data/train/pfc/oproofs-s00002-r00011652-n000004-0000-c2ec7695bb5adfe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c2ec7695bb5adfe2d27c14da74ca4387c00bd9c0955a8c3be8387c80f0544d97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011656-n000004.json b/manifests/batches/oproofs/s00002-r00011656-n000004.json
index c67288c42974de68d8029fe1b24d3f74c614cbe8..e682bd29da2f70c64b0f38bbdebd69bb9965aa63 100644
--- a/manifests/batches/oproofs/s00002-r00011656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011656-n000004",
   "batch_fingerprint": "3d9a1744e25740666fc2e9490c6d49091f29f9db215b6a94e5a5b67846fc88da",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011656-n000004-0000-8d7d39364015edca.parquet",
-      "sha256": "8d7d39364015edca2ea74531319966f476525b21070f4e6bf253bdc5ef74f731",
-      "bytes": 626441,
-      "rows": 10,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011656-n000004-0000-eaa1abc02b696bea.parquet",
-      "sha256": "eaa1abc02b696beaea8825d5529c6f0ff62c058642c0b525108c8c0b9bbaee62",
-      "bytes": 81732,
-      "rows": 9,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11657",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011656.lean\",\"32993147398c330dec35b3dd660d51cda51992089f337a27f7f1dcbac758368d\",0,\"lean_workbook_plus_39600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011657.lean\",\"339ab276014b1d5889333d38d77e1d4a358bfc57f9ae434fefa4b3b81321a457\",0,\"lean_workbook_14621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011658.lean\",\"b2386aaed1068b61b701232b8d8a91af58f95e9d6912ae65fa165d7dd60c38d5\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 626441,
+      "path": "data/train/p13/oproofs-s00002-r00011656-n000004-0000-8d7d39364015edca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8d7d39364015edca2ea74531319966f476525b21070f4e6bf253bdc5ef74f731"
+    },
+    {
+      "bytes": 81732,
+      "path": "data/internal_test/p13/oproofs-s00002-r00011656-n000004-0000-eaa1abc02b696bea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "eaa1abc02b696beaea8825d5529c6f0ff62c058642c0b525108c8c0b9bbaee62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011660-n000004.json b/manifests/batches/oproofs/s00002-r00011660-n000004.json
index 885abfc5acf0f85d4949901a1f91e5e626930f67..34c70a72119d4919a338646123d54c597377b980 100644
--- a/manifests/batches/oproofs/s00002-r00011660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011660-n000004",
   "batch_fingerprint": "1e126d27881c189619afc20dbba545c18e48c3cf65241360562c78b3b7687c1c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011660-n000004-0000-761bcccc15eba8ba.parquet",
-      "sha256": "761bcccc15eba8ba7294db6ed9c8fb944b5283fbd67da733a787da69061e7004",
-      "bytes": 226268,
-      "rows": 9,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011660-n000004-0000-29c8d8dc309b361c.parquet",
-      "sha256": "29c8d8dc309b361c6396cfa293d00bb21f17fb27f399115f31c567849024f4b8",
-      "bytes": 33813,
-      "rows": 2,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011661.lean\",\"f99e71158c496cc8d9e3598b78b8e3a70d38d08ea28aec84e8a9df06d71653ea\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011662.lean\",\"78a9a7446e5654d1e4eb3212c0a7d3bf30579d63284568512d3a9205f4c50c65\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011663.lean\",\"886cdb0be0beb35fb180280db1bf07cd21bcdf00189e6022a68a1c4de49b703d\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226268,
+      "path": "data/train/p0b/oproofs-s00002-r00011660-n000004-0000-761bcccc15eba8ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "761bcccc15eba8ba7294db6ed9c8fb944b5283fbd67da733a787da69061e7004"
+    },
+    {
+      "bytes": 33813,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00011660-n000004-0000-29c8d8dc309b361c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "29c8d8dc309b361c6396cfa293d00bb21f17fb27f399115f31c567849024f4b8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011664-n000004.json b/manifests/batches/oproofs/s00002-r00011664-n000004.json
index de27b7561d448a29767efab9406f46f8f77c9ea1..b16c8b7a75c40ae72ec20c1d9336fdb9fdf948e7 100644
--- a/manifests/batches/oproofs/s00002-r00011664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011664-n000004",
   "batch_fingerprint": "98a4229a689cc47f563c7b93be5f6a41ad6c5f2b39e5a0b7960b46176dcbf4d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011664-n000004-0000-6145072350f5edf8.parquet",
-      "sha256": "6145072350f5edf8ca8bd2947c571fc8b417783933b4c2f5496964c93d313fc0",
-      "bytes": 255501,
-      "rows": 19,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11665",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011665.lean\",\"55f23fd1691174207d2c380b202f3b7624aab7db32a632f93064aa530d5d8092\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011666.lean\",\"3418132f9ac1bc6e8272eec2fd277791eb805aa0603a020503a5c32352bf60fe\",0,\"lean_workbook_plus_75361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011667.lean\",\"568669bdcee13b3ebd1aab7477056fc13612f870616c5526e832fef80d4db148\",0,\"lean_workbook_12108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255501,
+      "path": "data/train/p0d/oproofs-s00002-r00011664-n000004-0000-6145072350f5edf8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "6145072350f5edf8ca8bd2947c571fc8b417783933b4c2f5496964c93d313fc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011668-n000004.json b/manifests/batches/oproofs/s00002-r00011668-n000004.json
index 99c67f4fec1fda847b029492d1fd44bfd071e8b6..d8bfd56a6e6c7479df0abdb0101f97a01161a906 100644
--- a/manifests/batches/oproofs/s00002-r00011668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011668-n000004",
   "batch_fingerprint": "858fee67bd53be8b95a620da1d9f2c184f297173459e0f16292dd0acb785f2f2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011668-n000004-0000-da05289085636375.parquet",
-      "sha256": "da05289085636375d7ae3d8d59db016c85a40b60254d920bfda097990b6cb9c7",
-      "bytes": 264431,
-      "rows": 19,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11669",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011669.lean\",\"7853a916df3e3caf897abc17c39ce67ea29591c02313c22cf60e38445d839610\",0,\"lean_workbook_24134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011670.lean\",\"f787d8617a1fe0f9d89950b62e50d9d6a7c01c1a2f0d511421c6866a2b6bd9ec\",0,\"lean_workbook_plus_33617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011671.lean\",\"610447c0a37b8a9dee702790dd1f657400e531378c74ebd1dabc6770e66624a2\",0,\"lean_workbook_plus_79060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264431,
+      "path": "data/train/pda/oproofs-s00002-r00011668-n000004-0000-da05289085636375.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "da05289085636375d7ae3d8d59db016c85a40b60254d920bfda097990b6cb9c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011672-n000004.json b/manifests/batches/oproofs/s00002-r00011672-n000004.json
index 617e5d88f78ff100a4c1ed38820047f9c47fc2e0..0eeb1e86d5433f215eba375fc3fd789b523ad52f 100644
--- a/manifests/batches/oproofs/s00002-r00011672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011672-n000004",
   "batch_fingerprint": "394e41a4f16f1609a6daabee85ff1b2db3c674c6b9c9e0c49d69fbe7613d4cf1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011672-n000004-0000-0565dadc949e1d81.parquet",
-      "sha256": "0565dadc949e1d81f03220be9ee1267767e4d29bd6ac019dcfd9c61dcfff386f",
-      "bytes": 261974,
-      "rows": 19,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011673.lean\",\"00ad8deb77b314fc2242245fe7cd84d0164f72aafd9be717ce63bd8f75aa93d2\",0,\"Real.sqrt_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011674.lean\",\"edf03713993891b2865fcf35c662577cbb35769ae881ee7d5339ffc6346f3fab\",0,\"lean_workbook_36235\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011675.lean\",\"735447bb0f2bb2383123462da18999c62a2a9bac989a4001d0e6ead6a2f0de08\",0,\"lean_workbook_plus_60570\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261974,
+      "path": "data/train/pbd/oproofs-s00002-r00011672-n000004-0000-0565dadc949e1d81.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "0565dadc949e1d81f03220be9ee1267767e4d29bd6ac019dcfd9c61dcfff386f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011676-n000004.json b/manifests/batches/oproofs/s00002-r00011676-n000004.json
index f8b8b9e7a93d6759c79774074231f817d9cc7ce8..a339b712f54f4bce8ed32dfb9952390ddcb0c9dc 100644
--- a/manifests/batches/oproofs/s00002-r00011676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011676-n000004",
   "batch_fingerprint": "73af1857ff2d0732358c68a2f0e1e7d68b61bd0dbda54172ab0bc93b7d6a2f42",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11676",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11677",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11678",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11679"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011676.lean\",\"6383c38454e980c3bef608346ef6c4a8708e6449cfeee4af4961e60d569c2922\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011677.lean\",\"af08c652970d2d1f49e275415d9ebca1751bee836e8ca0c2999966e0e863d0bc\",0,\"lean_workbook_plus_71923\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011678.lean\",\"6384a2edea2fcf32d7709dc4001a3e5de0f4c77c26e9ecaa371476884c02853c\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011679.lean\",\"9840725e14dc70fc57cee8c11fae7bb620f6506d44b81f975f0b634e447c93fb\",0,\"lean_workbook_plus_54444\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011676-n000004-0000-f1eae76f782c2d41.parquet",
-      "sha256": "f1eae76f782c2d41bf7a2db42f402891522083b3d3dcf0c8a279e70624e5f051",
       "bytes": 691389,
+      "path": "data/train/p9f/oproofs-s00002-r00011676-n000004-0000-f1eae76f782c2d41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
+      "sha256": "f1eae76f782c2d41bf7a2db42f402891522083b3d3dcf0c8a279e70624e5f051"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011676-n000004-0001-d067138b11b109c4.parquet",
-      "sha256": "d067138b11b109c4a810b53c64132691628c70886cc0653c4df66a44b8fe5d9a",
       "bytes": 410448,
+      "path": "data/train/p9f/oproofs-s00002-r00011676-n000004-0001-d067138b11b109c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
+      "sha256": "d067138b11b109c4a810b53c64132691628c70886cc0653c4df66a44b8fe5d9a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011676-n000004-0000-54d8704989a5b67c.parquet",
-      "sha256": "54d8704989a5b67cb1de8a5c15b34bbe866a130626d4ab99b834ce95d6a5094b",
       "bytes": 100375,
+      "path": "data/internal_test/p9f/oproofs-s00002-r00011676-n000004-0000-54d8704989a5b67c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
+      "sha256": "54d8704989a5b67cb1de8a5c15b34bbe866a130626d4ab99b834ce95d6a5094b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11676",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11677",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11678",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11679"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011676.lean\",\"6383c38454e980c3bef608346ef6c4a8708e6449cfeee4af4961e60d569c2922\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011677.lean\",\"af08c652970d2d1f49e275415d9ebca1751bee836e8ca0c2999966e0e863d0bc\",0,\"lean_workbook_plus_71923\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011678.lean\",\"6384a2edea2fcf32d7709dc4001a3e5de0f4c77c26e9ecaa371476884c02853c\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011679.lean\",\"9840725e14dc70fc57cee8c11fae7bb620f6506d44b81f975f0b634e447c93fb\",0,\"lean_workbook_plus_54444\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011680-n000004.json b/manifests/batches/oproofs/s00002-r00011680-n000004.json
index be2aff7c319ed00554d41e0cef4f043c3c2da891..2f4bb9c285dc2b6f82ac8a7bbf5baa7c5e6a505c 100644
--- a/manifests/batches/oproofs/s00002-r00011680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011680-n000004",
   "batch_fingerprint": "2a3dc60ccbe17645e5d71663859d02dd92c3c3c63269f29c9cfdfdb021ce3b84",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011680-n000004-0000-90b5f858a0bff9f7.parquet",
-      "sha256": "90b5f858a0bff9f740961913a0af237a5ebc295687a3df2b2689073d6a88aca9",
-      "bytes": 116257,
-      "rows": 11,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011680-n000004-0000-5901064ff025e09f.parquet",
-      "sha256": "5901064ff025e09f5dbe1871244758b9653d85ad9a49b805446d4f4e893cb2ea",
-      "bytes": 185575,
-      "rows": 7,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11681",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011681.lean\",\"9d648392ee29da6cbdf698029252affc9cc51d95c7e7f5241df07fff99a6df41\",0,\"lean_workbook_plus_25630\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011682.lean\",\"de2a475887cee746cc85b6e271338a50df71524b2038e971bc7d11a75a8b880b\",0,\"lean_workbook_plus_24250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011683.lean\",\"7a1fb0a847d5af7edcdb61098e803a4235771ca25e3f3d57a4cb9ad2d357153c\",0,\"lean_workbook_plus_17667\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116257,
+      "path": "data/train/pd5/oproofs-s00002-r00011680-n000004-0000-90b5f858a0bff9f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "90b5f858a0bff9f740961913a0af237a5ebc295687a3df2b2689073d6a88aca9"
+    },
+    {
+      "bytes": 185575,
+      "path": "data/dev/pd5/oproofs-s00002-r00011680-n000004-0000-5901064ff025e09f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5901064ff025e09f5dbe1871244758b9653d85ad9a49b805446d4f4e893cb2ea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011684-n000004.json b/manifests/batches/oproofs/s00002-r00011684-n000004.json
index deb59355d1cb32bf38b17588bca6cfd53d5136e7..ec9669cf23c395e74b907730cc1e370088794a25 100644
--- a/manifests/batches/oproofs/s00002-r00011684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011684-n000004",
   "batch_fingerprint": "b7b6ac601ba2a78e9b58840ea13c1c902d4aaeb3038271dc06484425a98dd616",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011684-n000004-0000-44053c647998b51e.parquet",
-      "sha256": "44053c647998b51effdd2ec9caa700327f7ad087e2c0e9b58672ec9f26e5b015",
-      "bytes": 223959,
-      "rows": 11,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011684-n000004-0000-81b9d5895c51330e.parquet",
-      "sha256": "81b9d5895c51330ef4a034d7a596355ddcd0600c6e1c87113d3cf021868ea384",
-      "bytes": 63884,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011685.lean\",\"c3e942acb505543bde7cd03be2acf17b0f8f08811e505ade55b0a7b475895d55\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011686.lean\",\"99f977ff7e785c564d29d721f3beb8342a480169f678fe43095813aa7b73c819\",0,\"lean_workbook_38647\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011687.lean\",\"29736959490dfcdfd73e20201edc2e19ea8ac31795ad7f2153f721e4a3f33b5f\",0,\"lean_workbook_plus_59493\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 223959,
+      "path": "data/train/pfb/oproofs-s00002-r00011684-n000004-0000-44053c647998b51e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "44053c647998b51effdd2ec9caa700327f7ad087e2c0e9b58672ec9f26e5b015"
+    },
+    {
+      "bytes": 63884,
+      "path": "data/internal_test/pfb/oproofs-s00002-r00011684-n000004-0000-81b9d5895c51330e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "81b9d5895c51330ef4a034d7a596355ddcd0600c6e1c87113d3cf021868ea384"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011688-n000004.json b/manifests/batches/oproofs/s00002-r00011688-n000004.json
index e1d95db96089a2312475e4f6b74e7dbfd885ae63..6754ea070144935c171b533d9233792acb3cd37e 100644
--- a/manifests/batches/oproofs/s00002-r00011688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011688-n000004",
   "batch_fingerprint": "a3317353bd927ff850fbddf69caab9b05e4aa468ffdf5f92aee3201f66341398",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011688-n000004-0000-53a8eb5e59de8207.parquet",
-      "sha256": "53a8eb5e59de8207493b03e321b1e424196f5b9843aa4916c73d9218ebd9bfbc",
-      "bytes": 246753,
-      "rows": 23,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011689.lean\",\"85bfd648a577d94b92350574d79f2ac0c5c6be5641e2192dfb0fcb2b7b4a6a58\",0,\"lean_workbook_plus_69969\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011690.lean\",\"6562b7b61c6346049e3363d97a9fa143d32c45833e53bb1c7423d0656760a6fc\",0,\"lean_workbook_18799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011691.lean\",\"2ddeb3f0c72fcb635cd7c30788af5a7ded9c48886c10b5e88b0ea635b06f1dfb\",0,\"lean_workbook_plus_75423\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 246753,
+      "path": "data/train/pc6/oproofs-s00002-r00011688-n000004-0000-53a8eb5e59de8207.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "53a8eb5e59de8207493b03e321b1e424196f5b9843aa4916c73d9218ebd9bfbc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011692-n000004.json b/manifests/batches/oproofs/s00002-r00011692-n000004.json
index b8bdcfd7f2cbb2c00d5afad3eceb98923124cd57..b6d6b4f001b7e8d0e744a481c1d5c909d8d9ccda 100644
--- a/manifests/batches/oproofs/s00002-r00011692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011692-n000004",
   "batch_fingerprint": "64b3b72ff739d320df9d46d8f7ea71b1cd457a6a63165d8736ed4ed854395472",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011692-n000004-0000-86cbe67ddeaf7846.parquet",
-      "sha256": "86cbe67ddeaf78461b2963fb95bbaa0f1769de08b1b01caeb80c928335f02733",
-      "bytes": 391002,
-      "rows": 15,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011692-n000004-0000-935957bebbf26ab3.parquet",
-      "sha256": "935957bebbf26ab33cdb02f0afc34f3f3d06120adff968031eb16ea264daff68",
-      "bytes": 42096,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11693",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011693.lean\",\"525f5ffe6907dda5159ca10d39bfa2d039a899e188a8210ad04c596b490990d4\",0,\"lean_workbook_plus_21333\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011694.lean\",\"a14ee20b08c59aee1d573e731d3b5d03b4d16eeb9332b605c469c6b601cbd142\",0,\"lean_workbook_36023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011695.lean\",\"091586892872600f11f257a3d1ae4d8c3c06c3d925a15b9930f914db181f5b1b\",0,\"lean_workbook_plus_49117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391002,
+      "path": "data/train/pfe/oproofs-s00002-r00011692-n000004-0000-86cbe67ddeaf7846.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "86cbe67ddeaf78461b2963fb95bbaa0f1769de08b1b01caeb80c928335f02733"
+    },
+    {
+      "bytes": 42096,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00011692-n000004-0000-935957bebbf26ab3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "935957bebbf26ab33cdb02f0afc34f3f3d06120adff968031eb16ea264daff68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011696-n000004.json b/manifests/batches/oproofs/s00002-r00011696-n000004.json
index 0f6121266a850039bfe6f1148c08ba847d6c366c..bb25e574a23fd3598bb82a6bff27eb34db39a447 100644
--- a/manifests/batches/oproofs/s00002-r00011696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011696-n000004",
   "batch_fingerprint": "cf23cf6ffa7354076a0009fd620fa6e5652e60176652186383d6118603a2adb7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011696-n000004-0000-f2b74c00ea133f3a.parquet",
-      "sha256": "f2b74c00ea133f3a2c1a37220a2247663865c28ce0aca2bfbf0082777d6570f2",
-      "bytes": 309629,
-      "rows": 24,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011697.lean\",\"20fbff4a4c41dfdf83f1b970ad2987d8a7400ead6bd43357db7274e95126d180\",0,\"lean_workbook_plus_57983\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011698.lean\",\"b5630b2bd2d94f3cf91ee3fd01906b6c579c2673f6da996e2ed5960ab555d927\",0,\"lean_workbook_plus_35641\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011699.lean\",\"63555830ec4f5732105e5eafd9d554434c9a31cd41522d2b266e28609c94ce39\",0,\"lean_workbook_plus_38416\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309629,
+      "path": "data/train/p29/oproofs-s00002-r00011696-n000004-0000-f2b74c00ea133f3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f2b74c00ea133f3a2c1a37220a2247663865c28ce0aca2bfbf0082777d6570f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011700-n000004.json b/manifests/batches/oproofs/s00002-r00011700-n000004.json
index 72933dfb9964eed9392935b66e2043fde8af5ba8..ce939a2149e1aabae03f14523c9ef0546eefda3e 100644
--- a/manifests/batches/oproofs/s00002-r00011700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011700-n000004",
   "batch_fingerprint": "87a1d9dc6582bbf48aec1c62204b074b7c5cb40501110222d77e3683b6400613",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11700",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11701",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11702",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11703"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011700.lean\",\"24bbccf799295c33cb518fad4233ae0a9c9bccfed0f5bc5b3ae363dcce38e00a\",0,\"lean_workbook_plus_74221\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011701.lean\",\"4524945069d391420760bf1fc3eeb995d63becdb795d399d2a16a49c7d07feea\",0,\"lean_workbook_plus_71906\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011702.lean\",\"6702933ae0c79ebe4250e2523e5100988faf6135c583111015b579220e44bcb1\",0,\"complex_sixth_root_unity_values\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011703.lean\",\"539216ddb69903ea79d760052dec00c7cf156cb6812f184204bdafe34b6960f6\",0,\"lean_workbook_plus_67931\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011700-n000004-0000-3c3024b798930e06.parquet",
-      "sha256": "3c3024b798930e068076f1fa21d524fa9905946fea2fd87a0bba0e7a3041c6a3",
       "bytes": 392776,
+      "path": "data/train/p86/oproofs-s00002-r00011700-n000004-0000-3c3024b798930e06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "3c3024b798930e068076f1fa21d524fa9905946fea2fd87a0bba0e7a3041c6a3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00011700-n000004-0000-bba34aa5e71c2991.parquet",
-      "sha256": "bba34aa5e71c29914c0bf12c8fa32f20b94a3f00a2a30a22a19ca31468c63fc7",
       "bytes": 417211,
+      "path": "data/dev/p86/oproofs-s00002-r00011700-n000004-0000-bba34aa5e71c2991.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "bba34aa5e71c29914c0bf12c8fa32f20b94a3f00a2a30a22a19ca31468c63fc7"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00011700-n000004-0000-b66dd39d9038888b.parquet",
-      "sha256": "b66dd39d9038888bf61567ce898fd6c82612adebcba057a9c43dc4d5d1e500d6",
       "bytes": 52908,
+      "path": "data/internal_test/p86/oproofs-s00002-r00011700-n000004-0000-b66dd39d9038888b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
+      "sha256": "b66dd39d9038888bf61567ce898fd6c82612adebcba057a9c43dc4d5d1e500d6"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11700",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11701",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11702",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11703"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011700.lean\",\"24bbccf799295c33cb518fad4233ae0a9c9bccfed0f5bc5b3ae363dcce38e00a\",0,\"lean_workbook_plus_74221\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011701.lean\",\"4524945069d391420760bf1fc3eeb995d63becdb795d399d2a16a49c7d07feea\",0,\"lean_workbook_plus_71906\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011702.lean\",\"6702933ae0c79ebe4250e2523e5100988faf6135c583111015b579220e44bcb1\",0,\"complex_sixth_root_unity_values\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011703.lean\",\"539216ddb69903ea79d760052dec00c7cf156cb6812f184204bdafe34b6960f6\",0,\"lean_workbook_plus_67931\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011704-n000004.json b/manifests/batches/oproofs/s00002-r00011704-n000004.json
index d66160bd943cc9096ddaf1135ebf46a7dfed0c35..1aae16ccda2762474305e85b1a7663806cb187f6 100644
--- a/manifests/batches/oproofs/s00002-r00011704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011704-n000004",
   "batch_fingerprint": "25aec2bf0a8c3816e80a3017eb026d8f3a19acdd01c4bcf9b7e6d8ce2276c8dc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011704-n000004-0000-2a0af527805196d8.parquet",
-      "sha256": "2a0af527805196d8c0e73bda8c96f337acfaad62980ad0d98dbf2fc456807e8a",
-      "bytes": 785535,
-      "rows": 22,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011704-n000004-0001-84e74a25701b8b0b.parquet",
-      "sha256": "84e74a25701b8b0bf0d5c157e28039a6c72100c50547b5212e311084739a7fca",
-      "bytes": 404936,
-      "rows": 6,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011705.lean\",\"41807edd3c69c405e9596f274dc84bd04125516d3997e6e1122b821009c46868\",0,\"lean_workbook_plus_37035\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011706.lean\",\"03d50147d73a9d458d65bc627d8f7894014e3bd244759494a9ee0c486dd76049\",0,\"lean_workbook_40658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011707.lean\",\"a9bf61e54b555326ed67149e89eae36f821f9fdb9d07e824687b19fcf20d1ad9\",0,\"lean_workbook_plus_78244\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 785535,
+      "path": "data/train/pd2/oproofs-s00002-r00011704-n000004-0000-2a0af527805196d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2a0af527805196d8c0e73bda8c96f337acfaad62980ad0d98dbf2fc456807e8a"
+    },
+    {
+      "bytes": 404936,
+      "path": "data/train/pd2/oproofs-s00002-r00011704-n000004-0001-84e74a25701b8b0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "84e74a25701b8b0bf0d5c157e28039a6c72100c50547b5212e311084739a7fca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011708-n000004.json b/manifests/batches/oproofs/s00002-r00011708-n000004.json
index 25c0b1bbb071d711b39208716220ca004488fdbd..f5ad8ecee29c4195d21536f646827e8c031eb44f 100644
--- a/manifests/batches/oproofs/s00002-r00011708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011708-n000004",
   "batch_fingerprint": "2df9f6217728122c8569e4faa44a7a44a6d9663aa2c722fd753a50496deacb44",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011708-n000004-0000-7d3398013e4a9031.parquet",
-      "sha256": "7d3398013e4a90312e3e90f5d82d44aa98803998d6a0b5daee9534be74857e80",
-      "bytes": 149707,
-      "rows": 11,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011708-n000004-0000-b365145a20b80daf.parquet",
-      "sha256": "b365145a20b80daf17f6cbf0dcc2dd519d2aab8fd29bb016d3482067184cac69",
-      "bytes": 98667,
-      "rows": 5,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11709",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011709.lean\",\"381e071f66563ed38f344708f21a19806584dec987d6d4804c744f23520281e4\",0,\"lean_workbook_12392\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011710.lean\",\"92f1c7f65108cd320b1cfc5ff70aad46589cf3ffc02cb49d9320056905f7b470\",0,\"lean_workbook_50310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011711.lean\",\"8cee069fc9e6f5b9b66360dd5339b07ad7cc128ffe767a1aa5a5a0d1074051ed\",0,\"lean_workbook_plus_20189\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149707,
+      "path": "data/train/pfb/oproofs-s00002-r00011708-n000004-0000-7d3398013e4a9031.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7d3398013e4a90312e3e90f5d82d44aa98803998d6a0b5daee9534be74857e80"
+    },
+    {
+      "bytes": 98667,
+      "path": "data/dev/pfb/oproofs-s00002-r00011708-n000004-0000-b365145a20b80daf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b365145a20b80daf17f6cbf0dcc2dd519d2aab8fd29bb016d3482067184cac69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011712-n000004.json b/manifests/batches/oproofs/s00002-r00011712-n000004.json
index a166272bd6f9ec7e4b24a556021adfe041048988..25d9ad4a1a7a15bf6925d23fd56cdcb1ffe46c7d 100644
--- a/manifests/batches/oproofs/s00002-r00011712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011712-n000004",
   "batch_fingerprint": "8bc834f9ea7da667bfa1fdafd418bc3d9ec60367154ffaee9ae4fbd4dff08c63",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011712-n000004-0000-8e4d7b0d91e4dc98.parquet",
-      "sha256": "8e4d7b0d91e4dc9889957fcac681893e8fcc2534789e86f31c6459ef0e37c2a2",
-      "bytes": 936263,
-      "rows": 34,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011713.lean\",\"180d0ef07686b9f66a27014af31241fc96f7ca9da873b3d4031222fd74752913\",0,\"lean_workbook_plus_22884\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011714.lean\",\"6be4672bdc6b759c63bd0fbcdf5a2dd140b2c29d58da8168107e3d741257d498\",0,\"lean_workbook_plus_76791\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011715.lean\",\"701ec0fb20b5043ba9003c0d2ffb7e88f1c01667b3e3be72d8b66f4453c8a07a\",0,\"lean_workbook_29213\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 936263,
+      "path": "data/train/p0a/oproofs-s00002-r00011712-n000004-0000-8e4d7b0d91e4dc98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "8e4d7b0d91e4dc9889957fcac681893e8fcc2534789e86f31c6459ef0e37c2a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011716-n000004.json b/manifests/batches/oproofs/s00002-r00011716-n000004.json
index 61b1057b39647fdc972bdf052047cdddc366eaef..de472aa476896f1e0b7dc26549bee90709ed0186 100644
--- a/manifests/batches/oproofs/s00002-r00011716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011716-n000004",
   "batch_fingerprint": "71ad725fd4c3010eb508bca5bc48fb293a9e16077ac86149008223e2fee60cd5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011716-n000004-0000-37a11b42d851fa5d.parquet",
-      "sha256": "37a11b42d851fa5d5f539133ef4a6ac146d420558bec3c34ca1019b5f3160e09",
-      "bytes": 159326,
-      "rows": 12,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011716-n000004-0000-24338941b1960d83.parquet",
-      "sha256": "24338941b1960d83084fe6389a6286a78b36840c6ec3baad2d658a284d478d79",
-      "bytes": 78133,
-      "rows": 8,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011717.lean\",\"27dff9b49a442476a0728081c6f0eef485039614d771e11bae5b79ad34ee9800\",0,\"lean_workbook_15936\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011718.lean\",\"b35d08cc14a69edb397cde366bd75bcb75988f1e23548203fe039de39cff1650\",0,\"lean_workbook_plus_49916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011719.lean\",\"857983e7755ac07a043adab4bb65f64d7df2e83008bc850ddb82a5abe7c3bcd3\",0,\"algebra_487350\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 159326,
+      "path": "data/train/pf1/oproofs-s00002-r00011716-n000004-0000-37a11b42d851fa5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "37a11b42d851fa5d5f539133ef4a6ac146d420558bec3c34ca1019b5f3160e09"
+    },
+    {
+      "bytes": 78133,
+      "path": "data/internal_test/pf1/oproofs-s00002-r00011716-n000004-0000-24338941b1960d83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "24338941b1960d83084fe6389a6286a78b36840c6ec3baad2d658a284d478d79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011720-n000004.json b/manifests/batches/oproofs/s00002-r00011720-n000004.json
index b80c143bb786396fdfa69d3e6ad79dd2c80fd28b..ff4422f421fc1ec0eb443f516910f2502ff9d7a8 100644
--- a/manifests/batches/oproofs/s00002-r00011720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011720-n000004",
   "batch_fingerprint": "c85e21d3c9bead49884de408ff979426783f328f0f994f4367a320b5a12bd9f7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011720-n000004-0000-614d4d203ae9c814.parquet",
-      "sha256": "614d4d203ae9c8144824de53f518e8f5ca42abcc31bab89294deea4d90c7b413",
-      "bytes": 243372,
-      "rows": 28,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011721.lean\",\"91fb018ff263ff846fcc24e1fe8491f01182d26bd5c245a0fd898993154e8490\",0,\"lean_workbook_plus_30920\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011722.lean\",\"77f20e7c0bf183a2dc3012f5fb32dc5a7888ce4a0fb3cf2e2f137241b4451dcc\",0,\"lean_workbook_35298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011723.lean\",\"6c81220ee5ac807cfcd3086b1e29e973b7e23cd26e5095246beb160c8a68c3b4\",0,\"lean_workbook_plus_23764\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243372,
+      "path": "data/train/p27/oproofs-s00002-r00011720-n000004-0000-614d4d203ae9c814.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "614d4d203ae9c8144824de53f518e8f5ca42abcc31bab89294deea4d90c7b413"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011724-n000004.json b/manifests/batches/oproofs/s00002-r00011724-n000004.json
index 7e9229f1dd9520bdad4cba4252c95dea9f80e73e..5a1f84e35dca227f81e95ca4515ebd264510a93f 100644
--- a/manifests/batches/oproofs/s00002-r00011724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011724-n000004",
   "batch_fingerprint": "410d066886ef0d59e033de9833363fc97641868988fcfd6903b2978ccbc982b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011724-n000004-0000-d6526ba9a573b668.parquet",
-      "sha256": "d6526ba9a573b668c4f4e5843c833d69e9c67704a3279a1533086eadbe7ee3af",
-      "bytes": 148475,
-      "rows": 14,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011725.lean\",\"37c2ab27397831057ee1e6993de8c948d3939171377de5169700adf38037028d\",0,\"lean_workbook_plus_77148\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011726.lean\",\"ba24c79f8a86f9bbcd4e7a7cacd1dcb7e061dcd0b79360f464aff66b8a658934\",0,\"lean_workbook_plus_72072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011727.lean\",\"902a27a3ec9c4d6a769aff47f289e1fb7d89ea71481f9c68f4f136a1d1b14e98\",0,\"lean_workbook_40349\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148475,
+      "path": "data/train/p89/oproofs-s00002-r00011724-n000004-0000-d6526ba9a573b668.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d6526ba9a573b668c4f4e5843c833d69e9c67704a3279a1533086eadbe7ee3af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011728-n000004.json b/manifests/batches/oproofs/s00002-r00011728-n000004.json
index 6a7f0405d3e3e87e4b8490a0f63bffa613448e99..7ce23b453afa7ac0c017b21f377e3d9de7494149 100644
--- a/manifests/batches/oproofs/s00002-r00011728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011728-n000004",
   "batch_fingerprint": "451682701650082414f51efcb02cfbe69e37bc6f81b836c9866971be270102b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011728-n000004-0000-d1e0bb8c1de905e2.parquet",
-      "sha256": "d1e0bb8c1de905e25f2da24d57f9d81171895c93ea2a231ded6481ebbc4a9859",
-      "bytes": 221322,
-      "rows": 19,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11729",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011729.lean\",\"d313a6a91badf976045b93ebd8ce149bff5b61e73da767d7ecfdb6c95203cb9b\",0,\"lean_workbook_plus_80899\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011730.lean\",\"24236d0261ac47ed95c0730ae135d0205fc15407199b07c1c090163b2ab4ca36\",0,\"lean_workbook_plus_34155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011731.lean\",\"93efd50f70b5085a2e4e9321dd57f4a3c9ca5a48dbfcecfe7a224b73f21d35bb\",0,\"find_third_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 221322,
+      "path": "data/train/p9e/oproofs-s00002-r00011728-n000004-0000-d1e0bb8c1de905e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d1e0bb8c1de905e25f2da24d57f9d81171895c93ea2a231ded6481ebbc4a9859"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011732-n000004.json b/manifests/batches/oproofs/s00002-r00011732-n000004.json
index 79c24cfb8edf8a7309b22f3b0628e38f040598d7..b990a2ad13cd5579d6a499cdc965219c43aaa473 100644
--- a/manifests/batches/oproofs/s00002-r00011732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011732-n000004",
   "batch_fingerprint": "b225efe37a4252bf8da785e144ef50257b4603428d098e1e79ef14bf197924e9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011732-n000004-0000-1a31b1d8d6a68f54.parquet",
-      "sha256": "1a31b1d8d6a68f54812855bf2601149bafa55d3c63f3ee4770c158a753056e83",
-      "bytes": 727461,
-      "rows": 17,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011733.lean\",\"160b722856f6ad541d85ad5e2d9cf3a3d2a96760dc9ca0d2557dae5331c249d4\",0,\"lean_workbook_plus_6830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011734.lean\",\"0065f5b066e8193b20004c6316db6dc93a9743d0fe142d304cad004ee66e1560\",0,\"lean_workbook_plus_30892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011735.lean\",\"e2db2155d97eddc7dc8e1dbdeea6d164a18de232acf9b09eeea72c2d544c7189\",0,\"lean_workbook_2077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 727461,
+      "path": "data/train/p31/oproofs-s00002-r00011732-n000004-0000-1a31b1d8d6a68f54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1a31b1d8d6a68f54812855bf2601149bafa55d3c63f3ee4770c158a753056e83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011736-n000004.json b/manifests/batches/oproofs/s00002-r00011736-n000004.json
index 1a2cd8c8bbfe2c08217066436a376551260be7f0..7a122331b38b4abe2f484cee882d9ad4b15ef1f8 100644
--- a/manifests/batches/oproofs/s00002-r00011736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011736-n000004",
   "batch_fingerprint": "c97173865ccfd7dc0de587fce543cd54c608ea8a537b63b74e2daf130ff5a4ab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011736-n000004-0000-113a1e403a84ec5e.parquet",
-      "sha256": "113a1e403a84ec5ec0d0f927da98048fd8169e9b6ac3f2e66098aa0b6f9e8a1e",
-      "bytes": 187809,
-      "rows": 14,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011737.lean\",\"e98a6dabaf3b766626583c1a30efc17d58b9ae0329c70d55dcb1fae55fdf5341\",0,\"lean_workbook_14718\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011738.lean\",\"1a97f2e4573337cfa062dcf6e54b623f851a85a629ceeb545412f7f5cd12df33\",0,\"lean_workbook_plus_16155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011739.lean\",\"539e80c5bd96b77caebff08240adf202d5c92f362f64230f34171c09060930cf\",0,\"lean_workbook_plus_27697\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187809,
+      "path": "data/train/p46/oproofs-s00002-r00011736-n000004-0000-113a1e403a84ec5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "113a1e403a84ec5ec0d0f927da98048fd8169e9b6ac3f2e66098aa0b6f9e8a1e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011740-n000004.json b/manifests/batches/oproofs/s00002-r00011740-n000004.json
index d7b41ddd1a6b4dd964b3d9a9547577fe4c6233df..6d016df74d0db786564127b0da3dca67282b1a54 100644
--- a/manifests/batches/oproofs/s00002-r00011740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011740-n000004",
   "batch_fingerprint": "c7abc4354489469529fe6e1bd6ce3db033bff555eba933d83c8b8f2673b5c679",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011740-n000004-0000-0b1db47c117753a3.parquet",
-      "sha256": "0b1db47c117753a36e35a40aac99ff71c3dabf3516dbdc5c9ff318fde6f1c967",
-      "bytes": 580421,
-      "rows": 22,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011740-n000004-0000-59b73b936ab5fa1b.parquet",
-      "sha256": "59b73b936ab5fa1b5e773650283f1bac16fb6ba80f6fb231ab1a70cc910a70ca",
-      "bytes": 48903,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11741",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011741.lean\",\"023f055196177a53f73716344edd1a01002c2fabf2b43f4b81b1f1036c2153fc\",0,\"lean_workbook_44422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011742.lean\",\"72668860d64a036ca66ea10d8b001c6181c1d7cd6e7b2cabee4fcff27b613b3f\",0,\"lean_workbook_plus_23455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011743.lean\",\"5d9f72d56b38613d328c91ba3a20c4836f997cf00eb3ba13698abe4567751202\",0,\"lean_workbook_45391\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 580421,
+      "path": "data/train/pcc/oproofs-s00002-r00011740-n000004-0000-0b1db47c117753a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "0b1db47c117753a36e35a40aac99ff71c3dabf3516dbdc5c9ff318fde6f1c967"
+    },
+    {
+      "bytes": 48903,
+      "path": "data/internal_test/pcc/oproofs-s00002-r00011740-n000004-0000-59b73b936ab5fa1b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "59b73b936ab5fa1b5e773650283f1bac16fb6ba80f6fb231ab1a70cc910a70ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011744-n000004.json b/manifests/batches/oproofs/s00002-r00011744-n000004.json
index 51b0f7d1a2c14c9921eb1d901ab53f8b60a1c0ff..4114f74963efc907cc7a03e33e80fbef3f296fdf 100644
--- a/manifests/batches/oproofs/s00002-r00011744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011744-n000004",
   "batch_fingerprint": "741440e8601aaf67254cdd821334341f8c717c2c4c97a312091cedf8f7e28abf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011744-n000004-0000-d202d60745ad290c.parquet",
-      "sha256": "d202d60745ad290c48af9e38d20723c024fa483ee8ba7664cdf12e6ffffee180",
-      "bytes": 1050387,
-      "rows": 29,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011744-n000004-0000-b52561f4330f4dba.parquet",
-      "sha256": "b52561f4330f4dba0a1542afc4356e160dd65706efe75c0cf2973535598c868f",
-      "bytes": 42206,
-      "rows": 2,
-      "revision": "c8f69d83e2700ba53b5c0888fa1100d691b3cb0b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011745.lean\",\"c3216981072c3b47f22f20644cddabd7f31efc096e997f0015107bec81c896a6\",0,\"lean_workbook_38595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011746.lean\",\"d8e83dd5d27d0451a9543d9f2c4c7df69325e269cfb52c21cae71247cae470c7\",0,\"lean_workbook_22792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011747.lean\",\"7f2b2e9afa39962d8a4cf3f5aac2e36a57d9db7cd6dc92a8a60cbd220062cb9f\",0,\"lean_workbook_27346\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1050387,
+      "path": "data/train/pa7/oproofs-s00002-r00011744-n000004-0000-d202d60745ad290c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "d202d60745ad290c48af9e38d20723c024fa483ee8ba7664cdf12e6ffffee180"
+    },
+    {
+      "bytes": 42206,
+      "path": "data/internal_test/pa7/oproofs-s00002-r00011744-n000004-0000-b52561f4330f4dba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b52561f4330f4dba0a1542afc4356e160dd65706efe75c0cf2973535598c868f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011748-n000004.json b/manifests/batches/oproofs/s00002-r00011748-n000004.json
index df44c5aec514a8f745a82a869bd8a8beeec70186..ac25d940fe850d83c1346b5b011a81593917fa09 100644
--- a/manifests/batches/oproofs/s00002-r00011748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011748-n000004",
   "batch_fingerprint": "d2ca7239fb85d3711e3c597506097aca0f1b965e46c94dedac6a493ec57009f7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011748-n000004-0000-79180f7796e10a58.parquet",
-      "sha256": "79180f7796e10a58ad864204199c43cb12970874b522fcc9ca6c981e1e33376a",
-      "bytes": 329345,
-      "rows": 26,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11749",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011749.lean\",\"d7e09286a100d375e26495cf3b0ca81dd02b2d3107bc60dcebdf60201fa16eb4\",0,\"lean_workbook_plus_58037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011750.lean\",\"dc39428027bb54a41c9bd988f73d802e02bc4bb08c3adc73ea46b62821dab072\",0,\"lean_workbook_19432\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011751.lean\",\"0ff94b848446354183a1b408f46d20b630f38a2cf075b44b9049d3ad8b5be613\",0,\"lean_workbook_plus_42712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 329345,
+      "path": "data/train/pdd/oproofs-s00002-r00011748-n000004-0000-79180f7796e10a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "79180f7796e10a58ad864204199c43cb12970874b522fcc9ca6c981e1e33376a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011752-n000004.json b/manifests/batches/oproofs/s00002-r00011752-n000004.json
index d7077d729bfaca4f251a0721cedf2a192c7c787d..4937adc1fd10b53e292f75b17b75411d7aecf25a 100644
--- a/manifests/batches/oproofs/s00002-r00011752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011752-n000004",
   "batch_fingerprint": "b0da56c77db3854291db33a6852dcb3321243f38ce0b1912a85f19acf39f243d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011752-n000004-0000-bc7b3e153796f1e5.parquet",
-      "sha256": "bc7b3e153796f1e5e6c68d43c3d20f23fa0e321ef638eb39d121ced12bf4f853",
-      "bytes": 66112,
-      "rows": 7,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011752-n000004-0000-1348747295aeab50.parquet",
-      "sha256": "1348747295aeab50d5a3008c413946f30d687218c9e162261597b41b98b33053",
-      "bytes": 198448,
-      "rows": 10,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011753.lean\",\"749abbb4e731b76a1da13772c5eba5f316b8e1e16f03eea3558b5ec6b5e1141b\",0,\"lean_workbook_plus_27286\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011754.lean\",\"9f8ce6369bbf3a77eb5f11b90225c56b6372f8698299d3983390969b7bc271d4\",0,\"lean_workbook_plus_20196\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011755.lean\",\"732c96164a64e1ec88b6ca0f8bfecc203d63c0b17dd0e44c8a9172efb4f9666e\",0,\"lean_workbook_27982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66112,
+      "path": "data/train/p8f/oproofs-s00002-r00011752-n000004-0000-bc7b3e153796f1e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "bc7b3e153796f1e5e6c68d43c3d20f23fa0e321ef638eb39d121ced12bf4f853"
+    },
+    {
+      "bytes": 198448,
+      "path": "data/internal_test/p8f/oproofs-s00002-r00011752-n000004-0000-1348747295aeab50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "1348747295aeab50d5a3008c413946f30d687218c9e162261597b41b98b33053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011756-n000004.json b/manifests/batches/oproofs/s00002-r00011756-n000004.json
index 2b4e3e586b04c053894677a8b7194169f83be16e..f8bef1f7b1bce1adce7810ed34c85980ffe61f79 100644
--- a/manifests/batches/oproofs/s00002-r00011756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011756-n000004",
   "batch_fingerprint": "1213eb9d0cdfba350d7c83871c55cb2d7080763d72af366faa2abef5c271e8ee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011756-n000004-0000-01ba448b69358dd4.parquet",
-      "sha256": "01ba448b69358dd4746c3ba73bc388d140c9c544218abca283f3ce841069618e",
-      "bytes": 74376,
-      "rows": 8,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011756-n000004-0000-ce4766db3da75bed.parquet",
-      "sha256": "ce4766db3da75bede900f1b2f25fa885b0980a302f900e348388e574a4589683",
-      "bytes": 90626,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11757",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011757.lean\",\"5339aaeb2a3ac025d86cd1b6ada967072f29fba21f9b376d8a9b392b5d841bce\",0,\"lean_workbook_plus_21292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011758.lean\",\"e02d0f71c168cef05a6c0f96c69c416c4eb8c0295031509e0b76a23d10846738\",0,\"lean_workbook_plus_10598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011759.lean\",\"488e8f3cfa1b76844d5710e8b77b4474b4eee81d550e130d5337b04a8eba8707\",0,\"lean_workbook_plus_49093\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74376,
+      "path": "data/train/p78/oproofs-s00002-r00011756-n000004-0000-01ba448b69358dd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "01ba448b69358dd4746c3ba73bc388d140c9c544218abca283f3ce841069618e"
+    },
+    {
+      "bytes": 90626,
+      "path": "data/internal_test/p78/oproofs-s00002-r00011756-n000004-0000-ce4766db3da75bed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce4766db3da75bede900f1b2f25fa885b0980a302f900e348388e574a4589683"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011760-n000004.json b/manifests/batches/oproofs/s00002-r00011760-n000004.json
index d8b201f8e85db018addd1407b743eb2ecc868262..6f6ab20e5da590fcae6ccd2b7106ea064d1f3df8 100644
--- a/manifests/batches/oproofs/s00002-r00011760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011760-n000004",
   "batch_fingerprint": "2969f398308a40ffbdb73835b734792bc98debe5d114220c029987dbfd6ac1d9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011760-n000004-0000-0dd2351e5469bcc4.parquet",
-      "sha256": "0dd2351e5469bcc4d0265f7ba90348fe1f5d166eb3294c9951e8b40236491f59",
-      "bytes": 116927,
-      "rows": 9,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011760-n000004-0000-f3f6daab40a41709.parquet",
-      "sha256": "f3f6daab40a4170946e9f3e6bf5d0b9acfd8423e6c6091842b8d3f7596469d1b",
-      "bytes": 53569,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011761.lean\",\"dd38c97051e94f800693c9254a766f37660520f0812266122725d1c455fed6cf\",0,\"lean_workbook_plus_2115\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011762.lean\",\"f85d59a8b3d34e12cb75e483b49433eb4a0c7a5218c047c75964418022c94b98\",0,\"lean_workbook_plus_1824\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011763.lean\",\"83f1b3da6a92975a7443976f944ff4ef42149619a113c6f92ce2ccde33ab3cbf\",0,\"lean_workbook_plus_3442\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116927,
+      "path": "data/train/pe2/oproofs-s00002-r00011760-n000004-0000-0dd2351e5469bcc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "0dd2351e5469bcc4d0265f7ba90348fe1f5d166eb3294c9951e8b40236491f59"
+    },
+    {
+      "bytes": 53569,
+      "path": "data/dev/pe2/oproofs-s00002-r00011760-n000004-0000-f3f6daab40a41709.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f3f6daab40a4170946e9f3e6bf5d0b9acfd8423e6c6091842b8d3f7596469d1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011764-n000004.json b/manifests/batches/oproofs/s00002-r00011764-n000004.json
index f2c349f4e701113b73cf317c7b780fb4fac40191..869bca7e39b4a6f97ef893afb5adc04dac6b8501 100644
--- a/manifests/batches/oproofs/s00002-r00011764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011764-n000004",
   "batch_fingerprint": "9c71d6c5bb83646ccbf2cb969007455e92291c95fdd6e270d0423829bec17bbe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011764-n000004-0000-0484328f9d397bbc.parquet",
-      "sha256": "0484328f9d397bbcda9945d93b4f8c2642ae3945ca0c8b76ddfcf25547f3aa20",
-      "bytes": 468779,
-      "rows": 21,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011764-n000004-0000-7f340794e3a5f467.parquet",
-      "sha256": "7f340794e3a5f4677ed58693d17d740388e1bc82b69754de08e36997fc888e15",
-      "bytes": 35321,
-      "rows": 3,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011765.lean\",\"a14fd9efa3775d293f52bc2fc51477e352f1ce3ab73914beb2d46c81fa946fa4\",0,\"lean_workbook_plus_75896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011766.lean\",\"b9492f238c2bd8636565c0a4ab3a72353a548ae8593cc41cbe9a1fa8210161a2\",0,\"lean_workbook_50886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011767.lean\",\"011f6b7d511358eb2f64ee5c1f512102ccb0586740dfd5a55e95bf1ed67281ed\",0,\"lean_workbook_plus_51282\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468779,
+      "path": "data/train/pb4/oproofs-s00002-r00011764-n000004-0000-0484328f9d397bbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0484328f9d397bbcda9945d93b4f8c2642ae3945ca0c8b76ddfcf25547f3aa20"
+    },
+    {
+      "bytes": 35321,
+      "path": "data/dev/pb4/oproofs-s00002-r00011764-n000004-0000-7f340794e3a5f467.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7f340794e3a5f4677ed58693d17d740388e1bc82b69754de08e36997fc888e15"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011768-n000004.json b/manifests/batches/oproofs/s00002-r00011768-n000004.json
index 41f763c9982d122f3b879ca417c028b06d63021f..225afc5d3a17789ffbb9cbfcabee7c896766c0b3 100644
--- a/manifests/batches/oproofs/s00002-r00011768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011768-n000004",
   "batch_fingerprint": "6795484bc1ef83fc15e8e99dd5117588e32e38556701f9a5c2b11fa53c2da229",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011768-n000004-0000-6773f56ff8405f6e.parquet",
-      "sha256": "6773f56ff8405f6e6544098c353b3b71cd01ad94a2bc54658617947da2570ba6",
-      "bytes": 82480,
-      "rows": 10,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11769",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011769.lean\",\"e3f108f8c9680f1428ccec3dd1f89eee7493a52b2e16963a6c779be6af3b7af4\",0,\"lean_workbook_plus_25963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011770.lean\",\"4f9c3d5778a5a89e76cba779a90dcb6e0f42d38f8c42bead9e34eee6e576334c\",0,\"lean_workbook_plus_31094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011771.lean\",\"ff45da0a1cc9f35c9ef591b114a1850da429502ea1509dc99b30df2692b8d532\",0,\"lean_workbook_plus_4859\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82480,
+      "path": "data/train/p3b/oproofs-s00002-r00011768-n000004-0000-6773f56ff8405f6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6773f56ff8405f6e6544098c353b3b71cd01ad94a2bc54658617947da2570ba6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011772-n000004.json b/manifests/batches/oproofs/s00002-r00011772-n000004.json
index 3246b7b418737cc9ccf8bfeea1497698aa798957..9c518c293291d3ec71eb9177f73e3595b61b59c3 100644
--- a/manifests/batches/oproofs/s00002-r00011772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011772-n000004",
   "batch_fingerprint": "7a281ca6948bebd821eaa4928a825a873c1b4c98312b6aad43eced31a6d93e11",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011772-n000004-0000-a90a511cc3deac4c.parquet",
-      "sha256": "a90a511cc3deac4cb7ca66214c256b244666382804bf780351d68bec4a08b550",
-      "bytes": 136198,
-      "rows": 12,
-      "revision": "0de21bcc4e84916eb90417581a22c3844a4f766e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11773",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011773.lean\",\"e6b82686cd644bdfccfe0d48f58c6eb1aba7719972bb4457849be401158aded6\",0,\"lean_workbook_plus_64907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011774.lean\",\"456fea249e3eba16dae122abd748517b5f48cb17c87b1c9c791d790a5f1405e7\",0,\"lean_workbook_plus_65731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011775.lean\",\"9c1bd1dfad2ddd548d1d6a5937cfb1e00c3018a14b99cd9bb5ce19332e1bf409\",0,\"lean_workbook_plus_75618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136198,
+      "path": "data/train/p58/oproofs-s00002-r00011772-n000004-0000-a90a511cc3deac4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "a90a511cc3deac4cb7ca66214c256b244666382804bf780351d68bec4a08b550"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011776-n000004.json b/manifests/batches/oproofs/s00002-r00011776-n000004.json
index 4faa06da5213eb58abfd5f9b45c92d5f2ebce4a2..49df365d8f69d6adeb52c22404ae963dcc9aa82b 100644
--- a/manifests/batches/oproofs/s00002-r00011776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011776-n000004",
   "batch_fingerprint": "7b72ffa1cea1d03d3c1589c55a7d4fb21bd9e9f14e5212b669ab0c3e36f12312",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011776-n000004-0000-01e8025e47e99fd9.parquet",
-      "sha256": "01e8025e47e99fd9e92af591fa5867f9e57da64cba172ff80ac99cb3429d5a37",
-      "bytes": 87567,
-      "rows": 12,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11777",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011777.lean\",\"828041ac47d55e2a36c1020f7eec0a24e5205dbdc9afdd485cecc101c35221b2\",0,\"lean_workbook_plus_22838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011778.lean\",\"540ec3998dbcfc7bfa75cde72f6540171890ebd3ba0a02c848d12741fe547c8a\",0,\"lean_workbook_plus_48271\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011779.lean\",\"904287f5f027c7b243f42b82732d5b1b5b6f6ff36f7132c310f93eaa18cc4076\",0,\"lean_workbook_23794\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87567,
+      "path": "data/train/p6c/oproofs-s00002-r00011776-n000004-0000-01e8025e47e99fd9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "01e8025e47e99fd9e92af591fa5867f9e57da64cba172ff80ac99cb3429d5a37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011780-n000004.json b/manifests/batches/oproofs/s00002-r00011780-n000004.json
index 90a8b4a019315e49a754a04ec8a1e6a5fa4cde06..dc3a38afdc4684606fcc2be17514eda1d623ac40 100644
--- a/manifests/batches/oproofs/s00002-r00011780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011780-n000004",
   "batch_fingerprint": "79e6ea33c9f8323eca8a86c11efacb30eb7688a48a73130895c727c491283755",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011780-n000004-0000-3468497dc8df2f71.parquet",
-      "sha256": "3468497dc8df2f710108733d87af931e7318eba343c77517a607cf0b4ce14d83",
-      "bytes": 155418,
-      "rows": 20,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011781.lean\",\"4afb399019e594aa28b8295597475197e440199510c467f80925664f371ca365\",0,\"lean_workbook_plus_82677\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011782.lean\",\"98bdd8725389c202316a399180d2cf0e7923d46f55844a7fd27312b6ae37381e\",0,\"lean_workbook_plus_33281\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011783.lean\",\"c0903afc9716b4ea595f49c3663d3e953b6523fa7ef5ffdfe5ddeeb1b8c54759\",0,\"hotdogs_total\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155418,
+      "path": "data/train/p04/oproofs-s00002-r00011780-n000004-0000-3468497dc8df2f71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3468497dc8df2f710108733d87af931e7318eba343c77517a607cf0b4ce14d83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011784-n000004.json b/manifests/batches/oproofs/s00002-r00011784-n000004.json
index f4248f0fc8180f58d304026a319ca21b393ad44a..42354dd00968c7d60d28e678d3a26be19df117dc 100644
--- a/manifests/batches/oproofs/s00002-r00011784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011784-n000004",
   "batch_fingerprint": "8765c9d38b0284b23f07772874d52970b6d953020539a2b037bef97b0958ac70",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011784-n000004-0000-0edf57f598011dd1.parquet",
-      "sha256": "0edf57f598011dd15b96ad493a6e394bb7f0e3fabfcb1425e8cefeeafbc034ba",
-      "bytes": 229864,
-      "rows": 18,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011784-n000004-0000-60fed07f84cb337b.parquet",
-      "sha256": "60fed07f84cb337b9353f5f70c209184d02bebff25b36ec0fedb575eb94137ad",
-      "bytes": 29250,
-      "rows": 2,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11785",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011785.lean\",\"08bee4ab2d4f41fd3375b00e160c271f65542b928b0249a53ffbc93b7cd4994e\",0,\"checkerboard_squares_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011786.lean\",\"c1fd6de638673c60eb6b9e9ec1eeb4cd735dec891f8e914e90a4bfa0f09ed7eb\",0,\"lean_workbook_plus_73753\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011787.lean\",\"1f39a69c1a1a86280200ca2b6657e260866bd969892869dda8905a26419cf02b\",0,\"lean_workbook_plus_50207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229864,
+      "path": "data/train/pb9/oproofs-s00002-r00011784-n000004-0000-0edf57f598011dd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "0edf57f598011dd15b96ad493a6e394bb7f0e3fabfcb1425e8cefeeafbc034ba"
+    },
+    {
+      "bytes": 29250,
+      "path": "data/internal_test/pb9/oproofs-s00002-r00011784-n000004-0000-60fed07f84cb337b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "60fed07f84cb337b9353f5f70c209184d02bebff25b36ec0fedb575eb94137ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011788-n000004.json b/manifests/batches/oproofs/s00002-r00011788-n000004.json
index 03a19c31582b17c60f4531d1f80c446afa9765f8..456103469e867b2051ef169f84650f5f3967d458 100644
--- a/manifests/batches/oproofs/s00002-r00011788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011788-n000004",
   "batch_fingerprint": "d9bca8251fdb543ca9f2656387a92a877136e43aa7f20a0b0928280f6d9baee2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011788-n000004-0000-f43eece6bbfc8436.parquet",
-      "sha256": "f43eece6bbfc8436faa025528991e322d27bc51cc95aaca8327c40eee024a98b",
-      "bytes": 152065,
-      "rows": 17,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011789.lean\",\"8245720b6f1f959850f7d29f161b180da23d05b221846f075813d15a1a49bb33\",0,\"bucket_filling_time_lcm\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011790.lean\",\"54d4d3f6749af172c19eb532f8a2e7df47cf1e87a84a674aafd99496eb26039e\",0,\"lean_workbook_35298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011791.lean\",\"9d5ccbe4918aaad91a2c38faa61581daaff2b3a6f78cad9ec2041afe100b72f7\",0,\"lean_workbook_40349\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152065,
+      "path": "data/train/pd6/oproofs-s00002-r00011788-n000004-0000-f43eece6bbfc8436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "f43eece6bbfc8436faa025528991e322d27bc51cc95aaca8327c40eee024a98b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011792-n000004.json b/manifests/batches/oproofs/s00002-r00011792-n000004.json
index 93de03a85d938585d77dd60b87ef73b6a39968a2..b32905c8b3557c7cbcf230ef1bec08bf5449cc85 100644
--- a/manifests/batches/oproofs/s00002-r00011792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011792-n000004",
   "batch_fingerprint": "b2f633953f008c6133a3beb8f283a722e2e15cbb74069609ab9d7c9c8dfcd3a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011792-n000004-0000-904f254f70b3a30b.parquet",
-      "sha256": "904f254f70b3a30b5aaadf7e557be084887276a0c18c7a8d8f687854cbb45bc1",
-      "bytes": 242918,
-      "rows": 32,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011793.lean\",\"0134385321c4793aa5bf120f0316851bfbb4ead01c086b10ad93915166f918d8\",0,\"lean_workbook_plus_59741\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011794.lean\",\"25d12f3769b249e75f54035201da802561f5d31e931e9436938ac36ccbd1bb31\",0,\"lean_workbook_plus_58820\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011795.lean\",\"eacb13295d1f0e0faa4bd14058f0c9601f8bc04a2b05b02cd6f623ca48794f7c\",0,\"lean_workbook_plus_28359\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242918,
+      "path": "data/train/p2a/oproofs-s00002-r00011792-n000004-0000-904f254f70b3a30b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "904f254f70b3a30b5aaadf7e557be084887276a0c18c7a8d8f687854cbb45bc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011796-n000004.json b/manifests/batches/oproofs/s00002-r00011796-n000004.json
index 530c3eb1f2c2b6dfd256d4edf812698274a04591..d57e56e0355ba9f779f9b42225ce58a83ac99cca 100644
--- a/manifests/batches/oproofs/s00002-r00011796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011796-n000004",
   "batch_fingerprint": "35e6752f9afa642aca081304ceb96b01d40d20258b9f51ccdd7a05fa5237c472",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011796-n000004-0000-bfc40c1a69b681c5.parquet",
-      "sha256": "bfc40c1a69b681c5a893b110fa6cbdfb9384047420d134e8f0099731a9bd1c5e",
-      "bytes": 241546,
-      "rows": 12,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011797.lean\",\"4d3499acf03653e9f89caa99c518087b00d43e9ab982c70b13fd33dd60c5d18c\",0,\"lean_workbook_plus_72072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011798.lean\",\"6b0b20d4bc3577a6ce65794583fb50dc19921c0c9519a3414bca1859073ad7c4\",0,\"lean_workbook_plus_25043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011799.lean\",\"f93b3fd5baa11eb61ea8488bdfbd6cebb5a8183858ab55585c5d8cf245f5338d\",0,\"lean_workbook_plus_56432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241546,
+      "path": "data/train/pab/oproofs-s00002-r00011796-n000004-0000-bfc40c1a69b681c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bfc40c1a69b681c5a893b110fa6cbdfb9384047420d134e8f0099731a9bd1c5e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011800-n000004.json b/manifests/batches/oproofs/s00002-r00011800-n000004.json
index 84c065675858eb3ef99c4a18a6c278bee5446980..b4df1f2da45a360f3b8706e4c91bb8ed6cf8d4fc 100644
--- a/manifests/batches/oproofs/s00002-r00011800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011800-n000004",
   "batch_fingerprint": "2e2fcef60cd7d16ff91c515c1bb75ab1ecab5ec8c8ddb1af764f45ca881524d7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011800-n000004-0000-fdaf22c4e1efba07.parquet",
-      "sha256": "fdaf22c4e1efba073db3eca4e90b94d6578ca53ffb68ef494a106956dffb6ec3",
-      "bytes": 704609,
-      "rows": 20,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011801.lean\",\"8e8e4bdd6c3bfd1ea4b0509fcb2fab33e264728f00d63a9bb294fd5fb3f4bb0d\",0,\"lean_workbook_plus_4695\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011802.lean\",\"da8d5bc5983326b2aeb9a9a1d53357d629a20c73c1f76331b19c0d2017ce4d06\",0,\"lean_workbook_plus_16155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011803.lean\",\"ff7f24778cf82bbef3dd768b3b81b837b4f598f47d289cfbad3fff92eb90bbfc\",0,\"lean_workbook_plus_46294\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 704609,
+      "path": "data/train/p27/oproofs-s00002-r00011800-n000004-0000-fdaf22c4e1efba07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "fdaf22c4e1efba073db3eca4e90b94d6578ca53ffb68ef494a106956dffb6ec3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011804-n000004.json b/manifests/batches/oproofs/s00002-r00011804-n000004.json
index 77e94bb6cf5475c5a2d15bcd1e2dd6f5aa4d9e00..a40a8c8feef3704b63c51657079933816594c096 100644
--- a/manifests/batches/oproofs/s00002-r00011804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011804-n000004",
   "batch_fingerprint": "293987e06ee876ed8172658b1df6825c8a4c21ac92a263cf8220c2f1d035bc34",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11804",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11805",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11806",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11807"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011804.lean\",\"0c08b522a714961419d70a0ecd72baec1842be5181e190b10e2ffc03da0add28\",0,\"lean_workbook_plus_27164\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011805.lean\",\"a7ec27445cfb2cca8716e6debebf31d6717843c5c256c18f08ed66d89610274c\",0,\"lean_workbook_plus_57794\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011806.lean\",\"5c8c40c8e0b9ad250abd17832ca7f597e53765603840408391dea1644d2861a1\",0,\"lean_workbook_2077\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011807.lean\",\"6165ae70a410782e4297aaf550be6a1c11a973728a1de1af51a2ebad344b05fd\",0,\"lean_workbook_plus_35487\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00011804-n000004-0000-5d90181e97b07b56.parquet",
-      "sha256": "5d90181e97b07b56fe0a841c391ad723be03db4715e0bc95cd1c3815b9f92093",
       "bytes": 642808,
+      "path": "data/train/p02/oproofs-s00002-r00011804-n000004-0000-5d90181e97b07b56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
+      "sha256": "5d90181e97b07b56fe0a841c391ad723be03db4715e0bc95cd1c3815b9f92093"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011804-n000004-0001-74383349dfde0223.parquet",
-      "sha256": "74383349dfde0223669698476ef1c88ba814387b7d133e7b903c64b81ccef512",
       "bytes": 843577,
+      "path": "data/train/p02/oproofs-s00002-r00011804-n000004-0001-74383349dfde0223.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
+      "sha256": "74383349dfde0223669698476ef1c88ba814387b7d133e7b903c64b81ccef512"
     },
     {
-      "path": "data/train/oproofs-s00002-r00011804-n000004-0002-db0e10b2b85bbe89.parquet",
-      "sha256": "db0e10b2b85bbe89ea3d6eda96df40e2a5f0a02cc273a6ec234ae08088fa7871",
       "bytes": 406016,
+      "path": "data/train/p02/oproofs-s00002-r00011804-n000004-0002-db0e10b2b85bbe89.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
+      "sha256": "db0e10b2b85bbe89ea3d6eda96df40e2a5f0a02cc273a6ec234ae08088fa7871"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11804",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11805",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11806",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11807"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011804.lean\",\"0c08b522a714961419d70a0ecd72baec1842be5181e190b10e2ffc03da0add28\",0,\"lean_workbook_plus_27164\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011805.lean\",\"a7ec27445cfb2cca8716e6debebf31d6717843c5c256c18f08ed66d89610274c\",0,\"lean_workbook_plus_57794\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011806.lean\",\"5c8c40c8e0b9ad250abd17832ca7f597e53765603840408391dea1644d2861a1\",0,\"lean_workbook_2077\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011807.lean\",\"6165ae70a410782e4297aaf550be6a1c11a973728a1de1af51a2ebad344b05fd\",0,\"lean_workbook_plus_35487\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011808-n000004.json b/manifests/batches/oproofs/s00002-r00011808-n000004.json
index 7faff22a5224d02df21cc9626faf2d0d1ef2d5ca..24659fe5bce03f1f7dff186e42b7f65eeebf0d12 100644
--- a/manifests/batches/oproofs/s00002-r00011808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011808-n000004",
   "batch_fingerprint": "0f77c831b34bc163e638cd82c4d13a2ab566986f695c86dc1341b7296eba1a17",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011808-n000004-0000-b14bedc765dda747.parquet",
-      "sha256": "b14bedc765dda747cfa53765bbef8ecec21e66aa0364691babde375c13b7d441",
-      "bytes": 237608,
-      "rows": 12,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011808-n000004-0000-b9386a02564439fa.parquet",
-      "sha256": "b9386a02564439fa5b28393e0873e29c129e82053818ada1d95b87f06e2548b0",
-      "bytes": 86351,
-      "rows": 10,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011809.lean\",\"06161991dae7c96b147d0f961e1949a8099592196beb724281a91a2e160945eb\",0,\"lean_workbook_45391\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011810.lean\",\"520fcea73e742225730d6a80650102c1430f640b4374e7abcec2ed0325482c45\",0,\"lean_workbook_plus_23455\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011811.lean\",\"5ce2b0a6d7728cffd0cca8ba484ba8fd5f8deec44c158c3db77f1efd4c72a67d\",0,\"lean_workbook_plus_44671\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237608,
+      "path": "data/train/pc5/oproofs-s00002-r00011808-n000004-0000-b14bedc765dda747.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b14bedc765dda747cfa53765bbef8ecec21e66aa0364691babde375c13b7d441"
+    },
+    {
+      "bytes": 86351,
+      "path": "data/internal_test/pc5/oproofs-s00002-r00011808-n000004-0000-b9386a02564439fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b9386a02564439fa5b28393e0873e29c129e82053818ada1d95b87f06e2548b0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011812-n000004.json b/manifests/batches/oproofs/s00002-r00011812-n000004.json
index 2637050bf9f6ececd3e55da34519642d160f2389..d187ca80fa083d65ce1de69ad4c32beb94194826 100644
--- a/manifests/batches/oproofs/s00002-r00011812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011812-n000004",
   "batch_fingerprint": "b5f321f229b8603e09db80758dfe219466243c69f29b2d498d17ec71d57693eb",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011812-n000004-0000-738fa21388732810.parquet",
-      "sha256": "738fa21388732810619880a6f758e2075d5cd7aa17131ec43f1b86106cfc4eb1",
-      "bytes": 93752,
-      "rows": 10,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011812-n000004-0000-55efab791cc15dfc.parquet",
-      "sha256": "55efab791cc15dfcbe69331b9302f9d8ec4d9755717c0d0415e75078d670ee8f",
-      "bytes": 44968,
-      "rows": 5,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11813",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011812.lean\",\"ec44e6ade1be90aca269a9d465e3e28074008b63a80a2109d1ce18b395e93d67\",0,\"lean_workbook_plus_58037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011813.lean\",\"22cf211ce70d0c6718d1b5cab70baea73c96efe90259a33bd3bee7c44d71b6ad\",0,\"lean_workbook_47585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011815.lean\",\"3dec6e0ae5e8945f36904aef5d90f6b258af1ef2dee55542e7c3d1f3d2adde76\",0,\"lean_workbook_plus_45337\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93752,
+      "path": "data/train/pbd/oproofs-s00002-r00011812-n000004-0000-738fa21388732810.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "738fa21388732810619880a6f758e2075d5cd7aa17131ec43f1b86106cfc4eb1"
+    },
+    {
+      "bytes": 44968,
+      "path": "data/internal_test/pbd/oproofs-s00002-r00011812-n000004-0000-55efab791cc15dfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "55efab791cc15dfcbe69331b9302f9d8ec4d9755717c0d0415e75078d670ee8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011816-n000004.json b/manifests/batches/oproofs/s00002-r00011816-n000004.json
index 2ef244c7cdadb012d25f6d31277e283b6317e221..0b87a52621d79c10f2e98d6b994bfbae1689dea5 100644
--- a/manifests/batches/oproofs/s00002-r00011816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011816-n000004",
   "batch_fingerprint": "308877472be80452c8c46fd1916b517552c5a778565d1cbdb1b804c8cfb26a3d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011816-n000004-0000-10a3c3a35bcfe3c7.parquet",
-      "sha256": "10a3c3a35bcfe3c771c556d95b13d74f6bc13c73ef949125c8c07969f384eaff",
-      "bytes": 755919,
-      "rows": 36,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011817.lean\",\"35a9dd7b1a0f771ba789600e277c9884efe50630c7ea855a1315a545c71e6373\",0,\"lean_workbook_44422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011818.lean\",\"a9888f7afcbf67e4b0e43f1f61d4ea6ed52b406922b898553fb108bb65fd1191\",0,\"lean_workbook_19432\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011819.lean\",\"4773888712032d1907307ed69e8470f993cfd9a9e397ccb8a4000b6e93322ca6\",0,\"lean_workbook_plus_42712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 755919,
+      "path": "data/train/pa4/oproofs-s00002-r00011816-n000004-0000-10a3c3a35bcfe3c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "10a3c3a35bcfe3c771c556d95b13d74f6bc13c73ef949125c8c07969f384eaff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011820-n000004.json b/manifests/batches/oproofs/s00002-r00011820-n000004.json
index dd5a59e48862cf807d74a4e43cfbee5c1830823b..51df450ed62e7c2267a51e8ce537a1c361d9311b 100644
--- a/manifests/batches/oproofs/s00002-r00011820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011820-n000004",
   "batch_fingerprint": "5272f688656392dff6fcf769c5e6cf25890bcaf53a822d24932bc147dcedfa3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011820-n000004-0000-debc996e7cdece94.parquet",
-      "sha256": "debc996e7cdece9437cdad3d4e1a911f6007d659b9c760bbde8dcb87ac430bf2",
-      "bytes": 686240,
-      "rows": 23,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00011820-n000004-0001-e9cf1e25f52bc997.parquet",
-      "sha256": "e9cf1e25f52bc997957cbe8f5abe4db04d54d77b8c438530da480c351194db14",
-      "bytes": 402744,
-      "rows": 3,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11821",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011821.lean\",\"575efe3c1bbc92fc8c8160ccba202524e6973fb8fabec2be5fc5231d76113775\",0,\"lean_workbook_38595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011822.lean\",\"a39f49fc001d50b33c19b4acc6d7dcd431399df5ea8988ea4d9432bd7e701327\",0,\"lean_workbook_27982\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011823.lean\",\"82bc58fa30081c2038fdeb3674f2f870d74e757a999969aa404b94bcabcd06d5\",0,\"lean_workbook_plus_8847\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686240,
+      "path": "data/train/p3d/oproofs-s00002-r00011820-n000004-0000-debc996e7cdece94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "debc996e7cdece9437cdad3d4e1a911f6007d659b9c760bbde8dcb87ac430bf2"
+    },
+    {
+      "bytes": 402744,
+      "path": "data/train/p3d/oproofs-s00002-r00011820-n000004-0001-e9cf1e25f52bc997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e9cf1e25f52bc997957cbe8f5abe4db04d54d77b8c438530da480c351194db14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011824-n000004.json b/manifests/batches/oproofs/s00002-r00011824-n000004.json
index e1c072a50f12ddbcdaaba43fc921ced57f2114c4..9184e684b6b5c3768d6ca6da4b2b9a9b0052a827 100644
--- a/manifests/batches/oproofs/s00002-r00011824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011824-n000004",
   "batch_fingerprint": "a1f8862c6e40aff9d3b0353fd75a24747865d23093431077336162439e0a5ff4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011824-n000004-0000-0cad164ba76e8ff0.parquet",
-      "sha256": "0cad164ba76e8ff0254d71411c3532336c24619b408288b21309bba8a9d5e437",
-      "bytes": 160424,
-      "rows": 14,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011824-n000004-0000-c3eaee1417f36e1d.parquet",
-      "sha256": "c3eaee1417f36e1dc8e576e7e7441aa1348fb0b5c6f4b9a9ee9f8aac68c00e42",
-      "bytes": 191358,
-      "rows": 3,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011825.lean\",\"da1fb33135223b767ca1a3cd6d98de30266f17ac7251f2fff2aaf748aeaafa4e\",0,\"lean_workbook_plus_41181\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011826.lean\",\"507ee1c652dc48a5c781d86aa612f46a4f5e232d3117debcc0017eaa8cd62b9a\",0,\"lean_workbook_plus_10598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011827.lean\",\"32719d7fb94117d63aa1ae75950e62bfa5c31dbf8744ebba3876eb19845dead4\",0,\"chocolate_factory_hours\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160424,
+      "path": "data/train/p8f/oproofs-s00002-r00011824-n000004-0000-0cad164ba76e8ff0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0cad164ba76e8ff0254d71411c3532336c24619b408288b21309bba8a9d5e437"
+    },
+    {
+      "bytes": 191358,
+      "path": "data/internal_test/p8f/oproofs-s00002-r00011824-n000004-0000-c3eaee1417f36e1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3eaee1417f36e1dc8e576e7e7441aa1348fb0b5c6f4b9a9ee9f8aac68c00e42"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011828-n000004.json b/manifests/batches/oproofs/s00002-r00011828-n000004.json
index d86dff0049aa3833797218b297b52aa3e043ab71..7364519315cf4b0da29baa13ab233ee2077ed049 100644
--- a/manifests/batches/oproofs/s00002-r00011828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011828-n000004",
   "batch_fingerprint": "e02adc6898b9818ca1d61b7678d819ca0df097ae105dbdef62470447d837b332",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011828-n000004-0000-38eef709f428da3b.parquet",
-      "sha256": "38eef709f428da3b28c214da7c2d0bea44ba0c61c1a0b5f116699c8982d59859",
-      "bytes": 570903,
-      "rows": 12,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011828-n000004-0000-7219e27b27ec29b2.parquet",
-      "sha256": "7219e27b27ec29b248277976f3ad48ee27315ec33eab179ddbc94384e8b48200",
-      "bytes": 72099,
-      "rows": 6,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011829.lean\",\"d6670a4657e20361382417a72fb1f4fdb8e39882774e5dad38feaa237af097c7\",0,\"lean_workbook_plus_82290\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011830.lean\",\"564b430fb38c334c9925da53951829f608d3766f8fed8d79a7c166e1d8ab2276\",0,\"lean_workbook_27346\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011831.lean\",\"f8084427baa9977106a090bb4513c5468b963b026021cdfaf222f08349dd6ca9\",0,\"lean_workbook_plus_2115\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 570903,
+      "path": "data/train/p35/oproofs-s00002-r00011828-n000004-0000-38eef709f428da3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "38eef709f428da3b28c214da7c2d0bea44ba0c61c1a0b5f116699c8982d59859"
+    },
+    {
+      "bytes": 72099,
+      "path": "data/dev/p35/oproofs-s00002-r00011828-n000004-0000-7219e27b27ec29b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7219e27b27ec29b248277976f3ad48ee27315ec33eab179ddbc94384e8b48200"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011832-n000004.json b/manifests/batches/oproofs/s00002-r00011832-n000004.json
index 3eb10eeb926681f6159fdfdd0ea058d9d5cf5ad9..18a03008446d27dbf1996302fa09aed7b8a78ee5 100644
--- a/manifests/batches/oproofs/s00002-r00011832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011832-n000004",
   "batch_fingerprint": "b65d4493cf6dc17f689c554ad7c6ebd1b0fa849e4c941672f5c3aac99394db21",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011832-n000004-0000-d877b2856e3d91f1.parquet",
-      "sha256": "d877b2856e3d91f1f7da38aad44c2c8b125a11abe9bdaa4a9f006cd7d2ecdf59",
-      "bytes": 132870,
-      "rows": 17,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011832-n000004-0000-4a74acde0ab75096.parquet",
-      "sha256": "4a74acde0ab75096f53b14d28c2fbe1ea57c80b79077451584930dcceed6554f",
-      "bytes": 37626,
-      "rows": 3,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11833",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011833.lean\",\"05bbf788325869ef523e93ecc7724926fb5a714a891b373261ef963180c0752c\",0,\"lean_workbook_plus_75896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011834.lean\",\"f012e3273f1b30070dce6faec2c435e948f069b5dd05d55e4a983218d6b55586\",0,\"lean_workbook_50886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011835.lean\",\"c8ef8f2b5f1cd3a7f92f712d5fab78fd355f63370077aa0f6725d153426874aa\",0,\"lean_workbook_44076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132870,
+      "path": "data/train/pee/oproofs-s00002-r00011832-n000004-0000-d877b2856e3d91f1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d877b2856e3d91f1f7da38aad44c2c8b125a11abe9bdaa4a9f006cd7d2ecdf59"
+    },
+    {
+      "bytes": 37626,
+      "path": "data/dev/pee/oproofs-s00002-r00011832-n000004-0000-4a74acde0ab75096.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "4a74acde0ab75096f53b14d28c2fbe1ea57c80b79077451584930dcceed6554f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011836-n000004.json b/manifests/batches/oproofs/s00002-r00011836-n000004.json
index 1b94dc5b638510337c04309b1b63fb2aa04dd50d..2400dfeff6088a0bcd3cd7cb3c8065d03c27f063 100644
--- a/manifests/batches/oproofs/s00002-r00011836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011836-n000004",
   "batch_fingerprint": "f14c3631c75273f692fe4d84a21bb30e0cefb66fe15e9b6fa441e89e2ac73483",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011836-n000004-0000-e9c1a4bdde36c962.parquet",
-      "sha256": "e9c1a4bdde36c962aa3165f08615712ac1ac6f65420f75408509311fbd451245",
-      "bytes": 312247,
-      "rows": 15,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11837",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011837.lean\",\"d659eb6ce182e00a76c92d3e8f54b152524ceb67647ac5abcf98103fadbeb867\",0,\"lean_workbook_plus_62794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011838.lean\",\"da6b8112e9ab2d76937382560e7c69dd4a68d6eee47664a7f4c0cda698f636e1\",0,\"lean_workbook_plus_44079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011839.lean\",\"3ee90224cc7048d3abe87a02d78968f60c341fe6cdc6e40aadca975d0bdf0276\",0,\"lean_workbook_plus_25963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312247,
+      "path": "data/train/p55/oproofs-s00002-r00011836-n000004-0000-e9c1a4bdde36c962.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e9c1a4bdde36c962aa3165f08615712ac1ac6f65420f75408509311fbd451245"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011840-n000004.json b/manifests/batches/oproofs/s00002-r00011840-n000004.json
index 413c6cf8e7cc31180ebce1b883094875ff253fa7..8e8d2575bd3e6d253ecf51c8165ff374126298cf 100644
--- a/manifests/batches/oproofs/s00002-r00011840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011840-n000004",
   "batch_fingerprint": "26f41500296e047243b51710125dabf87968997320984e01beb28d15d6b24057",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011840-n000004-0000-cee1633f14992d53.parquet",
-      "sha256": "cee1633f14992d53071875949c3cf99237208a2096d520bdfcfa2d7b48bf13e0",
-      "bytes": 164175,
-      "rows": 18,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011841.lean\",\"945fa58cc470b0d38a542c255c2e6c211885da9f904fa6be7b4bafeb735246df\",0,\"lean_workbook_plus_64907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011842.lean\",\"1339235adc8c10711109e257cd716bdd76a951c14aaba082332f1ff0aa9c88ca\",0,\"lean_workbook_plus_65731\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011843.lean\",\"b51829021f447ecdc45a13bd034deb35f1df85640a7f0509066aa49eb7bae928\",0,\"lean_workbook_plus_75618\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164175,
+      "path": "data/train/p74/oproofs-s00002-r00011840-n000004-0000-cee1633f14992d53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cee1633f14992d53071875949c3cf99237208a2096d520bdfcfa2d7b48bf13e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011844-n000004.json b/manifests/batches/oproofs/s00002-r00011844-n000004.json
index 16b1346a078818705f9578deb7fabf33b9ba50e4..7b90bd091763a28b09cdf62df9f990e107b7bbfd 100644
--- a/manifests/batches/oproofs/s00002-r00011844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011844-n000004",
   "batch_fingerprint": "fe4525f21a7be3c28f4a4146bffd50af72148294803cd2683a1c6d100c7dd82f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011844-n000004-0000-3acbcc122e920508.parquet",
-      "sha256": "3acbcc122e920508fced83f2e7d45544ca857268c03162e2a94caa616f890ae7",
-      "bytes": 132885,
-      "rows": 11,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11845",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011845.lean\",\"97422ad40d8918c3f8b822a7b9f0341d97a133f59d1784cdb87326a378eabff7\",1,\"verify_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011846.lean\",\"4b236dce4534966fb7d880810dadd634449f690b19c757049a3782fa95dfe1e1\",0,\"lean_workbook_plus_31636\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011847.lean\",\"6dddbce4bb2c670697a774daa8705fd5b96a3ce9d752eb98cec66c951f6c28a1\",0,\"lean_workbook_plus_48271\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132885,
+      "path": "data/train/p41/oproofs-s00002-r00011844-n000004-0000-3acbcc122e920508.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3acbcc122e920508fced83f2e7d45544ca857268c03162e2a94caa616f890ae7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011848-n000004.json b/manifests/batches/oproofs/s00002-r00011848-n000004.json
index c1ad755be8e1b33f8abc294e80ec322fae389835..de56469e3d6b5ed662cd4234b1ce4ec84a633c23 100644
--- a/manifests/batches/oproofs/s00002-r00011848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011848-n000004",
   "batch_fingerprint": "3dfdf317fb8db680e3cf6820ce2c3c36868c2ad9a7f0d83d8fb9e16851eaeda4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011848-n000004-0000-57ec43701c1d0631.parquet",
-      "sha256": "57ec43701c1d0631b4b0ad9d43356542cd181eedefcaf1a5ad79b4c8ad8fbb78",
-      "bytes": 1193898,
-      "rows": 12,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11849",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011849.lean\",\"85e3ee2225d94696c2d081294bc4b5a47d028073ad3a275b06700ae33011480b\",0,\"lean_workbook_plus_32115\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011850.lean\",\"a9900b2bd8f72235345031bbb4da0051b8f1e84f0c3e80136a38c7c2ee1872e5\",0,\"lean_workbook_23794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011851.lean\",\"b0df860dc8ff2e3c6aed9309075ff771d682da61b18a25bba6d49abac88dc3cb\",0,\"lean_workbook_plus_33281\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1193898,
+      "path": "data/train/p12/oproofs-s00002-r00011848-n000004-0000-57ec43701c1d0631.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "57ec43701c1d0631b4b0ad9d43356542cd181eedefcaf1a5ad79b4c8ad8fbb78"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011852-n000004.json b/manifests/batches/oproofs/s00002-r00011852-n000004.json
index 48ba787385fad36370850b1e148d3afad69af5cd..070a819f3c614c96e7fb926ac1867080a06390e7 100644
--- a/manifests/batches/oproofs/s00002-r00011852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011852-n000004",
   "batch_fingerprint": "eaad3242eb8ac9202f9e93335b5fd6581ead47855c7bee44b6f8cdd91c4a6392",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011852-n000004-0000-9fe246079d7a1655.parquet",
-      "sha256": "9fe246079d7a1655a572f9912e99c5ad229bb0efcce8b1001a58dfa03309f6a4",
-      "bytes": 103725,
-      "rows": 14,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011852-n000004-0000-88212e9bc895747b.parquet",
-      "sha256": "88212e9bc895747bae1ea3c4894820b19ebccb4cb149c695bee3a4ad445471a7",
-      "bytes": 29251,
-      "rows": 2,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011853.lean\",\"bb247bd8ef91704b7a05722eff4ece7e7ac6c9a9337ce80ca638aa0fe76e4043\",0,\"lean_workbook_plus_31842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011854.lean\",\"2eac6f815b8e995c7474eb292fe3da9fff1903de2a86462e6ef2804713bb23a6\",0,\"lean_workbook_plus_33366\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011855.lean\",\"55058da4de468dc8df205b6ead8a2154d0d48c6c99bbf9c58fc48e7a24167342\",0,\"lean_workbook_plus_73753\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103725,
+      "path": "data/train/p50/oproofs-s00002-r00011852-n000004-0000-9fe246079d7a1655.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9fe246079d7a1655a572f9912e99c5ad229bb0efcce8b1001a58dfa03309f6a4"
+    },
+    {
+      "bytes": 29251,
+      "path": "data/internal_test/p50/oproofs-s00002-r00011852-n000004-0000-88212e9bc895747b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "88212e9bc895747bae1ea3c4894820b19ebccb4cb149c695bee3a4ad445471a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011856-n000004.json b/manifests/batches/oproofs/s00002-r00011856-n000004.json
index d8eb4445ce719655d1269c424449ad6f92966d27..f7712fa29afdf4d8545f5f9396fc25c0d0fa21e5 100644
--- a/manifests/batches/oproofs/s00002-r00011856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011856-n000004",
   "batch_fingerprint": "bb21947960b95c62475fe05ede12bbc45c39a2ac64d253e8c9a0b7ec34204bf3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011856-n000004-0000-251650e85634cdc7.parquet",
-      "sha256": "251650e85634cdc7915c5f1b0fd4dd7d15fe782d3706df35e847c49e87563bd0",
-      "bytes": 451871,
-      "rows": 23,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011856-n000004-0000-d9396b606614d80d.parquet",
-      "sha256": "d9396b606614d80d28bcd6cde7c7b2c618410a32c1d49e3c967e28d66aee4a6c",
-      "bytes": 146632,
-      "rows": 3,
-      "revision": "c4a303ca98e485cd21e72aa9d61d2b7a94e15abf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11857",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011857.lean\",\"01bcf3348ad55e7b418407a8067a27c9d9ad0fb4683f2655ca292c3d451f7c07\",0,\"lean_workbook_plus_79510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011858.lean\",\"724f81c2fd6f9df8af6e6b49fcb8c33dd35bae999a80ba8ea144bbb3469b5e6f\",0,\"lean_workbook_plus_58574\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011859.lean\",\"ab1ba77f73a75dfeab23a5ffa6280565b7c4ebc832eb1799bdd929ad3c7b2892\",0,\"lean_workbook_plus_80910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 451871,
+      "path": "data/train/pe6/oproofs-s00002-r00011856-n000004-0000-251650e85634cdc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "251650e85634cdc7915c5f1b0fd4dd7d15fe782d3706df35e847c49e87563bd0"
+    },
+    {
+      "bytes": 146632,
+      "path": "data/internal_test/pe6/oproofs-s00002-r00011856-n000004-0000-d9396b606614d80d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d9396b606614d80d28bcd6cde7c7b2c618410a32c1d49e3c967e28d66aee4a6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011860-n000004.json b/manifests/batches/oproofs/s00002-r00011860-n000004.json
index 0e0f5bbbc0eedf7d8f6c14ff7348d9e34b94e911..9a77a017774dfa0c2bf4c5ea8106c4de5819898e 100644
--- a/manifests/batches/oproofs/s00002-r00011860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011860-n000004",
   "batch_fingerprint": "56bd99584073a9530c5853c9a138ef5728fa800686ff84a852da70ca87bcf70d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011860-n000004-0000-49f048c8bf5a7046.parquet",
-      "sha256": "49f048c8bf5a704644461458fe95f14285b200be883e3f146c118bc706c9c77f",
-      "bytes": 145535,
-      "rows": 18,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11861",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011861.lean\",\"a3d20a602f8bfc66a07159b1f367ca2bd0b02df44582ba791a32fab3bfa13611\",0,\"lean_workbook_40349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011862.lean\",\"086b14b88e8edd86171c8f13b04dca2cca2b34a71d7c8f51efbf6de74c7f47e1\",0,\"lean_workbook_35298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011863.lean\",\"3ff9b67ad7a4ed8517623511d613974e8c7c7343a881f0ed9eabc3db13e25a9a\",0,\"lean_workbook_plus_58820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145535,
+      "path": "data/train/p5c/oproofs-s00002-r00011860-n000004-0000-49f048c8bf5a7046.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "49f048c8bf5a704644461458fe95f14285b200be883e3f146c118bc706c9c77f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011864-n000004.json b/manifests/batches/oproofs/s00002-r00011864-n000004.json
index 5014d5863bc59abcd94bc082b11f24ac6e7455ec..e7f4f03964c7b5b4f23dee46ab243b27aee3c14d 100644
--- a/manifests/batches/oproofs/s00002-r00011864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011864-n000004",
   "batch_fingerprint": "8bd39a91695e58ef5a7b6908e93d30ce65aa97e933267b4da59ec67d1c66ae19",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011864-n000004-0000-6d46d6475bef6950.parquet",
-      "sha256": "6d46d6475bef695029431cae21696d7a0caef1fc22461480042e58825be74bfd",
-      "bytes": 249834,
-      "rows": 22,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11865",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011865.lean\",\"cce3ca929132e9aecf36d90eeb2094b889edb2e9e2ef7dae4c90dafb9d94cc53\",0,\"lean_workbook_plus_28359\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011866.lean\",\"b30fff498e5b0291ed09b370bd3adc6418c87f2ded46196eed71ba9d13252d52\",0,\"lean_workbook_plus_72072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011867.lean\",\"a6eeb0e970525b5feb5c97824b6c88df2d31bdd34ef30c94521858b4bce1861e\",0,\"lean_workbook_plus_25043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249834,
+      "path": "data/train/pee/oproofs-s00002-r00011864-n000004-0000-6d46d6475bef6950.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6d46d6475bef695029431cae21696d7a0caef1fc22461480042e58825be74bfd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011868-n000004.json b/manifests/batches/oproofs/s00002-r00011868-n000004.json
index 0bb9fb16ea7370135d01dec56f0be775b301c91a..5a391aebb1a368deeacdb9cf6ee289433f3e4989 100644
--- a/manifests/batches/oproofs/s00002-r00011868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011868-n000004",
   "batch_fingerprint": "a34cf5254319698953bb7296565dbdd0985efb476f32de931cd11846409791f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011868-n000004-0000-55833be39968f6cf.parquet",
-      "sha256": "55833be39968f6cf2532770843e6c49a14d8a20f93451e5c365802b16c005c36",
-      "bytes": 332574,
-      "rows": 14,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011869.lean\",\"63438ac0409ff110cf164d5ef48c62b673b4c5e00ff889a05764948060b6a428\",0,\"lean_workbook_plus_56432\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011870.lean\",\"ad30afe9c8e66d1fb1910b04c84b1cd15d208669049cd4b6cf9744dd36917682\",0,\"lean_workbook_plus_34155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011871.lean\",\"016f8b0dea86af64fbb24bde41bb436ee820dcd7b398bea81acb4c599c214329\",0,\"lean_workbook_plus_80899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332574,
+      "path": "data/train/p78/oproofs-s00002-r00011868-n000004-0000-55833be39968f6cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "55833be39968f6cf2532770843e6c49a14d8a20f93451e5c365802b16c005c36"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011872-n000004.json b/manifests/batches/oproofs/s00002-r00011872-n000004.json
index 098fdd3fe97c5ac621a85ab8dec2157c785b2c3c..24b411c8bcc902376236341dd69ca9b25e9f97d0 100644
--- a/manifests/batches/oproofs/s00002-r00011872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011872-n000004",
   "batch_fingerprint": "364c1793e52dff343dea583b1ac0252527bb91b7fa1a9f0841c4c2acd43abb55",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011872-n000004-0000-06e079de5abf7e5f.parquet",
-      "sha256": "06e079de5abf7e5fb45bb2b9c22f91b0eecf0dfed612b514ed2a4d215a4b06f6",
-      "bytes": 303768,
-      "rows": 14,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011873.lean\",\"c86a9e264d42c2a24ba6fbc54d1726e45510fa6b8595cc4de0cc68b4266277e5\",0,\"lean_workbook_plus_46294\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011874.lean\",\"62ad8be9a473e0c6c5d06ec4ab6d30beebaf031afc6279995359424ed7e09f51\",0,\"lean_workbook_14718\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011875.lean\",\"f6f5da5423aa460ae0bd1c3904e5004d1bdd73092eab4217c88007fd39d5c5a1\",0,\"lean_workbook_plus_68455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 303768,
+      "path": "data/train/p7c/oproofs-s00002-r00011872-n000004-0000-06e079de5abf7e5f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "06e079de5abf7e5fb45bb2b9c22f91b0eecf0dfed612b514ed2a4d215a4b06f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011876-n000004.json b/manifests/batches/oproofs/s00002-r00011876-n000004.json
index 1d8aac06d081576548f58a97d08660ac57617d5b..a7c4ec9244fe1dca9007d45cf8db1a5a5ff768df 100644
--- a/manifests/batches/oproofs/s00002-r00011876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011876-n000004",
   "batch_fingerprint": "c6ae15c10492e43963b3534649eed2a1d7af528b86c53e26815626543b125ed5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011876-n000004-0000-8cee1a19bd50346b.parquet",
-      "sha256": "8cee1a19bd50346b7e4962d44f1550a7e6810818442da61650a6726396c01853",
-      "bytes": 174495,
-      "rows": 13,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011876-n000004-0000-a346f6a6f6e61168.parquet",
-      "sha256": "a346f6a6f6e611682130184599889fcd2b2b507d052348abc502566a7263f017",
-      "bytes": 76798,
-      "rows": 6,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011877.lean\",\"390a158bad1f2b6a6292023b4473229aca4832823376b24aa4d7394a852cde9c\",0,\"lean_workbook_plus_27697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011878.lean\",\"cb1da405d8fbab1088c065eeabc1957e9320a1d2d520349495bb2e14befce797\",0,\"lean_workbook_45391\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011879.lean\",\"b7da75478c178394b6221b2f818ccdefb578a49a20a30319c96bc5af32a1ff1d\",0,\"lean_workbook_plus_23455\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174495,
+      "path": "data/train/pb4/oproofs-s00002-r00011876-n000004-0000-8cee1a19bd50346b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8cee1a19bd50346b7e4962d44f1550a7e6810818442da61650a6726396c01853"
+    },
+    {
+      "bytes": 76798,
+      "path": "data/internal_test/pb4/oproofs-s00002-r00011876-n000004-0000-a346f6a6f6e61168.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a346f6a6f6e611682130184599889fcd2b2b507d052348abc502566a7263f017"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011880-n000004.json b/manifests/batches/oproofs/s00002-r00011880-n000004.json
index df16906f8d107e015b448e98310347ee32eb9f22..494996f6321e7932568fee1b2d8944566bd6acd2 100644
--- a/manifests/batches/oproofs/s00002-r00011880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011880-n000004",
   "batch_fingerprint": "9c5dbccf32955d9054b3ba22186029b4a281f040686cd0f614b58c824683e098",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011880-n000004-0000-ee718f857cb79cef.parquet",
-      "sha256": "ee718f857cb79cefafa41300f0831d6bc25991217ac8ab4a9601bc3e2fed2729",
-      "bytes": 124977,
-      "rows": 15,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011880-n000004-0000-af7dd5b5c20545f6.parquet",
-      "sha256": "af7dd5b5c20545f66435b63f5f41e5898003b46b621993f30448a28838ad0c75",
-      "bytes": 36639,
-      "rows": 3,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011881.lean\",\"0d74954580dc44a6e05e8a0fc4fcfcd10dcf3fdaaa88b282c1f894c505bda241\",0,\"lean_workbook_plus_58037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011882.lean\",\"42c1d1486f6824d7ca5b24cb46bd881ddefa76a6aa35998754f9ff18c580c1f6\",0,\"lean_workbook_plus_45337\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011883.lean\",\"02778174bf35864af5cf3240a6cf1b79561fa1daefa8866b3837c507fa5db9f3\",0,\"lean_workbook_plus_27286\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124977,
+      "path": "data/train/p2e/oproofs-s00002-r00011880-n000004-0000-ee718f857cb79cef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ee718f857cb79cefafa41300f0831d6bc25991217ac8ab4a9601bc3e2fed2729"
+    },
+    {
+      "bytes": 36639,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00011880-n000004-0000-af7dd5b5c20545f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "af7dd5b5c20545f66435b63f5f41e5898003b46b621993f30448a28838ad0c75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011884-n000004.json b/manifests/batches/oproofs/s00002-r00011884-n000004.json
index f5ab26da11fc9593e61b07149cb170526bbd9638..94383b09b542d0e3a082b4cde2ffea9effb04edc 100644
--- a/manifests/batches/oproofs/s00002-r00011884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011884-n000004",
   "batch_fingerprint": "26bf8f298cd5702d7fc828d4988288bcb9af3901d34f34b30f26b05764ff0256",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011884-n000004-0000-b3a722901d692ee7.parquet",
-      "sha256": "b3a722901d692ee7f125773778bd01fab1d89995dbdf9e6290326d6055f5c20b",
-      "bytes": 428362,
-      "rows": 22,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011885.lean\",\"fe0669b8b153c4da31c77dff0ac39c78bac947aeeb1fd389c59c4685054f1560\",0,\"lean_workbook_plus_42712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011886.lean\",\"e01d613e999abccdc710009897a34559491a669f2460a1df60f49f800151f769\",0,\"lean_workbook_38595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011887.lean\",\"3b000cbc5d490b35235fd942757c6250d2b7443e3542f5051a458803024eada2\",0,\"lean_workbook_27982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428362,
+      "path": "data/train/pff/oproofs-s00002-r00011884-n000004-0000-b3a722901d692ee7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b3a722901d692ee7f125773778bd01fab1d89995dbdf9e6290326d6055f5c20b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011888-n000004.json b/manifests/batches/oproofs/s00002-r00011888-n000004.json
index 1818a51da6d138bc89b69814f504939eb8f28a4e..914caa020aa725d2caa235c98a10ebd5298668c9 100644
--- a/manifests/batches/oproofs/s00002-r00011888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011888-n000004",
   "batch_fingerprint": "98ebcf0ccbd236db14ed0226d3ef46fcabe266ffde821fe17bb513f9e132151a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011888-n000004-0000-601e42a1fdf69889.parquet",
-      "sha256": "601e42a1fdf69889e571f4693206c3e6af73c1910f3c33b37caa856ab1f56168",
-      "bytes": 36922,
-      "rows": 2,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011888-n000004-0000-43b010279ce5c7b2.parquet",
-      "sha256": "43b010279ce5c7b24acc6b9a37277c16151712d9b60485d1dfdbf227b57bd6ca",
-      "bytes": 263409,
-      "rows": 18,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011889.lean\",\"02339e3f532df19e7c163be7be0ff684572e446b37f00e6cf57820d2a46a031f\",0,\"lean_workbook_plus_23603\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011890.lean\",\"0ea504c580b891d94ca61cf8b47a75e5b2edec7e907ba957708820aeda7bb8f2\",0,\"lean_workbook_plus_21292\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011891.lean\",\"05dd052efc2a8bd55b347a040abfe65614511d7665ffc28c5f008a2aa23d7e22\",0,\"rectangle_too_large_for_square\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 36922,
+      "path": "data/train/pf8/oproofs-s00002-r00011888-n000004-0000-601e42a1fdf69889.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "601e42a1fdf69889e571f4693206c3e6af73c1910f3c33b37caa856ab1f56168"
+    },
+    {
+      "bytes": 263409,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00011888-n000004-0000-43b010279ce5c7b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "43b010279ce5c7b24acc6b9a37277c16151712d9b60485d1dfdbf227b57bd6ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011892-n000004.json b/manifests/batches/oproofs/s00002-r00011892-n000004.json
index 8e4b8bdaf7598e60df45b9c0dd3c1e70bc9463ba..ea805810ca498d86dfdf69cdbbf53cd814e90318 100644
--- a/manifests/batches/oproofs/s00002-r00011892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011892-n000004",
   "batch_fingerprint": "145fdf9a96433621194f0c62b33f170a1f9b6eed0465cfdde3116761568bc300",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011892-n000004-0000-58e7941babb67542.parquet",
-      "sha256": "58e7941babb67542f4fb9eaad0038c9e424c51ab6a9c511e8207f55ad7e942fc",
-      "bytes": 103400,
-      "rows": 11,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011893.lean\",\"434d6c9b25814fbaebdd381fc26ac42ef9a8c6432758207557ffa603a0fc8b81\",0,\"chocolate_factory_hours\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011894.lean\",\"67e660ac77a95663207805f45ea1f0285aed1e8c298ca63d862f183fc5587cef\",0,\"lean_workbook_plus_49093\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011895.lean\",\"6fd1f3b3bfd98bd1134a4705b89e7cac120644b6b11177332fd9633f64432dfc\",0,\"lean_workbook_plus_82290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103400,
+      "path": "data/train/p36/oproofs-s00002-r00011892-n000004-0000-58e7941babb67542.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "58e7941babb67542f4fb9eaad0038c9e424c51ab6a9c511e8207f55ad7e942fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011896-n000004.json b/manifests/batches/oproofs/s00002-r00011896-n000004.json
index 507e20b4935aeb770a7cd62b4f68607ff7cf08c9..1b4c73537a50fb2bb21d635ba34eac2241c55ca4 100644
--- a/manifests/batches/oproofs/s00002-r00011896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011896-n000004",
   "batch_fingerprint": "ac12b55e6378480840b3b5e61c09bfa63f30913eae58ca4a1a8ea97594de87f9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011896-n000004-0000-d38881a4a71a3e9e.parquet",
-      "sha256": "d38881a4a71a3e9e929a37e0bfa72c3367d9ac26c65ca1819491358052d0ccaf",
-      "bytes": 371644,
-      "rows": 23,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011897.lean\",\"4cab50002aa4778e6cd7c347d76061cda89f86f41fbab60fe407ddb3f34c0b8a\",0,\"lean_workbook_plus_3442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011898.lean\",\"6884f808fc9b912f22309982c8c0791bc39ca2b09264353de71b480aed433e54\",0,\"lean_workbook_plus_12787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011899.lean\",\"ca4acd4ff120541bdb8886b34eef1b6f235da6081f00269827da6dc027120a53\",0,\"lean_workbook_plus_75896\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371644,
+      "path": "data/train/p18/oproofs-s00002-r00011896-n000004-0000-d38881a4a71a3e9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d38881a4a71a3e9e929a37e0bfa72c3367d9ac26c65ca1819491358052d0ccaf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011900-n000004.json b/manifests/batches/oproofs/s00002-r00011900-n000004.json
index 67ef7f7abfd83bce7ded0884011d7888141374b8..9ce444fa7a476b70bf0b11926a9f345d0eaf314b 100644
--- a/manifests/batches/oproofs/s00002-r00011900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011900-n000004",
   "batch_fingerprint": "92627d99d69d7121da1c738dc34547004b96ef5a98198f85bdd5cf958e77cd1c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011900-n000004-0000-44bdb4435cf51df1.parquet",
-      "sha256": "44bdb4435cf51df1378f924ff9e45f10876df0470080b30cb416bd599483dac1",
-      "bytes": 73434,
-      "rows": 7,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011900-n000004-0000-e5e928e360586aa6.parquet",
-      "sha256": "e5e928e360586aa672a6c0f4f51b88311d86933288a3efef51752f9e9f952c9b",
-      "bytes": 36597,
-      "rows": 3,
-      "revision": "f6f2ab853ac24348ae36146285520c01452a4699"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11901",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011901.lean\",\"e4f77c65bd6e1976be5cb916c838ddba28868ee1203eaf351014611b046ec2c5\",0,\"lean_workbook_44076\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011902.lean\",\"01b2f22a95fff45348d11b4c77620938726634035d596adbb8574aa1147b8c42\",0,\"lean_workbook_plus_4859\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011903.lean\",\"1de05fe06c67c0ed4dcfd93fbe810843828038372e5f88020586938f78a37373\",0,\"lean_workbook_plus_44079\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73434,
+      "path": "data/train/peb/oproofs-s00002-r00011900-n000004-0000-44bdb4435cf51df1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "44bdb4435cf51df1378f924ff9e45f10876df0470080b30cb416bd599483dac1"
+    },
+    {
+      "bytes": 36597,
+      "path": "data/dev/peb/oproofs-s00002-r00011900-n000004-0000-e5e928e360586aa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "e5e928e360586aa672a6c0f4f51b88311d86933288a3efef51752f9e9f952c9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011904-n000004.json b/manifests/batches/oproofs/s00002-r00011904-n000004.json
index bebc708588aebcab37fe7c21dc9b1f73ee84080a..8110582967cc52032f283a6e33a07830177bd58b 100644
--- a/manifests/batches/oproofs/s00002-r00011904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011904-n000004",
   "batch_fingerprint": "c561386afb7a2efaecbf6f3ba3ecc253365892a2529138c8b6ada993bab19da7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011904-n000004-0000-bff70c0335a89673.parquet",
-      "sha256": "bff70c0335a89673f928adfbabe0ae59251ad4408821de092f6717bdd5a7f850",
-      "bytes": 289475,
-      "rows": 18,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11905",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011905.lean\",\"bed228934b6b28ef32fc122b7c9a72d26ad13ffb8639a177206f73b7e6eb48fe\",0,\"lean_workbook_plus_25963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011906.lean\",\"38706e4e1b1986aea38a52c4e89d0de0b020e057543838d9c034a3a1cd82f22d\",0,\"lean_workbook_plus_54786\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011907.lean\",\"1f0acf46364b9b242ef3288199c4a5d677979618638c301820894f222bed5d04\",0,\"lean_workbook_plus_64907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289475,
+      "path": "data/train/p1b/oproofs-s00002-r00011904-n000004-0000-bff70c0335a89673.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "bff70c0335a89673f928adfbabe0ae59251ad4408821de092f6717bdd5a7f850"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011908-n000004.json b/manifests/batches/oproofs/s00002-r00011908-n000004.json
index 07d48a882c0d780e665d8ebf84b92425f237740d..ef99a821fe709d3a026902bc0d59a3be787ec587 100644
--- a/manifests/batches/oproofs/s00002-r00011908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011908-n000004",
   "batch_fingerprint": "1e70d121cd388730d634a2f57275696e699419dc0040f097e41d7710b9a08f40",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011908-n000004-0000-bb728f6b964bd233.parquet",
-      "sha256": "bb728f6b964bd23344cc020a52360b5c78555ee0e7f0c0f2e80b70a2037ec814",
-      "bytes": 197774,
-      "rows": 14,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011909.lean\",\"b70a906dfeed778452effdc06fab9aa92fd7c9d145a6d1aad88ffb424a181904\",0,\"lean_workbook_plus_75618\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011910.lean\",\"0620d1bfb8572a9b2c897c48fa251d17618005c5483c3b1a96205ace8e042702\",0,\"lean_workbook_plus_51282\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011911.lean\",\"2007896996cae1c66feeaba6efe29df9c199e0c29eab3d4870c43fb042c6cf16\",0,\"lean_workbook_plus_31636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197774,
+      "path": "data/train/p1b/oproofs-s00002-r00011908-n000004-0000-bb728f6b964bd233.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bb728f6b964bd23344cc020a52360b5c78555ee0e7f0c0f2e80b70a2037ec814"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011912-n000004.json b/manifests/batches/oproofs/s00002-r00011912-n000004.json
index 454b95d1446b67b9238871aa052d69f6a889b1a6..4b6bf1bb1ed8853cdb6c4336376038e49fd87ae8 100644
--- a/manifests/batches/oproofs/s00002-r00011912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011912-n000004",
   "batch_fingerprint": "cab9ef3fbb0fb36f66702a0f561db0677455e2bb6e50f689ef0ab36bb3507a83",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011912-n000004-0000-492fd88595e8742c.parquet",
-      "sha256": "492fd88595e8742c5efb7e1c74c0f2d71c86b01907ed0bb72d5a85d3631ef153",
-      "bytes": 127532,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011913.lean\",\"cd607d87d96f355dcb333a169083ea2a1a5a687b9febe44e554aef070e0c1b32\",0,\"lean_workbook_plus_22838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011914.lean\",\"25ac24f0d196d5fcb93711fa16fe6a076c6e23136f0389aa81534be262597b07\",0,\"lean_workbook_23794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011915.lean\",\"e58615fdfa12a784f2263110ca559603ace0cebd7803d002bb9c6b6448458714\",0,\"hotdogs_total\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127532,
+      "path": "data/train/p2d/oproofs-s00002-r00011912-n000004-0000-492fd88595e8742c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "492fd88595e8742c5efb7e1c74c0f2d71c86b01907ed0bb72d5a85d3631ef153"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011916-n000004.json b/manifests/batches/oproofs/s00002-r00011916-n000004.json
index 409e9b370d4e954fed352aef7824212c182c5642..c9b7a79c259ef13844a8fd8a1f00e995853f1edc 100644
--- a/manifests/batches/oproofs/s00002-r00011916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011916-n000004",
   "batch_fingerprint": "603f1b3f8cf2cbb01452271889a043233fc5e8dc997464d22fd2a122ee19cf40",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011916-n000004-0000-f1126ec3ecf4bf7a.parquet",
-      "sha256": "f1126ec3ecf4bf7aa6567ea0cf1db55101c6c2e0b6dd10312e10400cb925b2f7",
-      "bytes": 141785,
-      "rows": 18,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011916-n000004-0000-105f9a5c5c39ffee.parquet",
-      "sha256": "105f9a5c5c39ffeef47528bd3cdcd7fa89360a9f2289dc57b50ee5e8fccf1b41",
-      "bytes": 29516,
-      "rows": 2,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11917",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011917.lean\",\"ebf789c85b74539e12335846d2b3d4239f8e8da5244135169ebc99b36a5a2184\",0,\"lean_workbook_plus_49838\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011918.lean\",\"6672289a0fbe92c6a5b1cea3887a61f16ea66d93fb4335c289d3736c3d59968f\",0,\"checkerboard_squares_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011919.lean\",\"821cc8cde73306a8de72a97c68a9542d2f5372a7a85d4b8567740fc9e152ea62\",0,\"lean_workbook_plus_31842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141785,
+      "path": "data/train/p84/oproofs-s00002-r00011916-n000004-0000-f1126ec3ecf4bf7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f1126ec3ecf4bf7aa6567ea0cf1db55101c6c2e0b6dd10312e10400cb925b2f7"
+    },
+    {
+      "bytes": 29516,
+      "path": "data/internal_test/p84/oproofs-s00002-r00011916-n000004-0000-105f9a5c5c39ffee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "105f9a5c5c39ffeef47528bd3cdcd7fa89360a9f2289dc57b50ee5e8fccf1b41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011920-n000004.json b/manifests/batches/oproofs/s00002-r00011920-n000004.json
index 30e204895bb265266fd8cdcf3a46c9044b60b86f..2e7bb310009f24db74c7636224d83aa113565f44 100644
--- a/manifests/batches/oproofs/s00002-r00011920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011920-n000004",
   "batch_fingerprint": "619ce544a8f780d0acc1d2ddaf4e3bf7e0f4c19e0069f31e415cbdfb19c5154f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011920-n000004-0000-063d4de1e728e2f3.parquet",
-      "sha256": "063d4de1e728e2f388261afb1b85070faa0d0f46d4abab11223c610c27d539a1",
-      "bytes": 446230,
-      "rows": 22,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011920-n000004-0000-b209804157c01bc7.parquet",
-      "sha256": "b209804157c01bc7e477869d8db3d428810b3963848669dfe681e2290c02c3dd",
-      "bytes": 182300,
-      "rows": 10,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11921",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011921.lean\",\"ee1dcbf0e84b02cd26ec898eb88f1d8cbccd6f84521c475921e53e0181eab947\",0,\"lean_workbook_plus_79510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011922.lean\",\"6cb77809bc0ba567fc0609bdf17c2d526122679ee11769307f61d823e1ee2b23\",0,\"lean_workbook_plus_74156\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011923.lean\",\"885a31e3b657a79dbe4e2b5c9cf9deb84f7ff2e06fa25f90effd41e241f9b76e\",0,\"lean_workbook_plus_80910\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 446230,
+      "path": "data/train/p12/oproofs-s00002-r00011920-n000004-0000-063d4de1e728e2f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "063d4de1e728e2f388261afb1b85070faa0d0f46d4abab11223c610c27d539a1"
+    },
+    {
+      "bytes": 182300,
+      "path": "data/internal_test/p12/oproofs-s00002-r00011920-n000004-0000-b209804157c01bc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "b209804157c01bc7e477869d8db3d428810b3963848669dfe681e2290c02c3dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011924-n000004.json b/manifests/batches/oproofs/s00002-r00011924-n000004.json
index 89c71304ccbc34ced8649e13d0412185c8db2be7..827cd06e2e354c2d4b072d5bc5c9c9904765d519 100644
--- a/manifests/batches/oproofs/s00002-r00011924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011924-n000004",
   "batch_fingerprint": "e75ce2633a91c2c3f8fe50ef73c3edf3f0f775a3849e7679608056eece3a694f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011924-n000004-0000-783cc83da4d8dc5d.parquet",
-      "sha256": "783cc83da4d8dc5dc5354f74e0e85a07dfcaf26f5f0d45f9343fb62db866a082",
-      "bytes": 126374,
-      "rows": 15,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011925.lean\",\"8c39550ff0c66a3cd986aa9adb7c86df8fdc1d61669071b7aafd6e7123763c0d\",0,\"lean_workbook_40349\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011926.lean\",\"e8243cb34a9019d218e666c9e1b4c0d634ad3c4e889fb90d8d0be24926fe60d0\",0,\"lean_workbook_35298\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011927.lean\",\"cdd60889f5ce8b4b9d8c0a876195997dd656fe69d831a2b4781c46380a9ebf2b\",0,\"lean_workbook_plus_58820\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 126374,
+      "path": "data/train/pf9/oproofs-s00002-r00011924-n000004-0000-783cc83da4d8dc5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "783cc83da4d8dc5dc5354f74e0e85a07dfcaf26f5f0d45f9343fb62db866a082"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011928-n000004.json b/manifests/batches/oproofs/s00002-r00011928-n000004.json
index 3e67cf3abca5558c05d25d407ce5a028828ea7d2..6adf53535458e344cf097d2b86defb49feb418da 100644
--- a/manifests/batches/oproofs/s00002-r00011928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011928-n000004",
   "batch_fingerprint": "c85cd2b2fb79d260e6dae88342328f18c412d61dcc8281d3b6f03b8a9b27c497",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011928-n000004-0000-0bef1ab7213f2a38.parquet",
-      "sha256": "0bef1ab7213f2a387aee9cd7d4efef681f0f84cd0363de5c44dee8928d643aa1",
-      "bytes": 289249,
-      "rows": 27,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011929.lean\",\"dfb20154b7b3979675c189af47678e069ce265cfcf3fdc6db395d8c772c7633d\",0,\"lean_workbook_plus_23764\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011930.lean\",\"f5b9bc5b107b76d94d8a18828b97916cf1e19041cfab114790ea8fea17147b72\",0,\"lean_workbook_plus_28359\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011931.lean\",\"286a281dedd7b47c411f7a665415f7b9e1c38f9b48a190111fc3617305f00965\",0,\"find_third_number\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 289249,
+      "path": "data/train/p0f/oproofs-s00002-r00011928-n000004-0000-0bef1ab7213f2a38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "0bef1ab7213f2a387aee9cd7d4efef681f0f84cd0363de5c44dee8928d643aa1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011932-n000004.json b/manifests/batches/oproofs/s00002-r00011932-n000004.json
index cf8d2abfde9cf14e5c9beebc7c9d92bb6b9f256c..6df04e6127be59c3564fc0fbef157e62763f76ea 100644
--- a/manifests/batches/oproofs/s00002-r00011932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011932-n000004",
   "batch_fingerprint": "5394e34c2036bb1ca8a8506f8629beaee8741a9f092f4f41120d55983b853266",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011932-n000004-0000-1c3e2b893404b02e.parquet",
-      "sha256": "1c3e2b893404b02ec2fe751e2c05844e97de1ef0dde5911bd0587a6448c3aa66",
-      "bytes": 141356,
-      "rows": 15,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011933.lean\",\"53ccb8a8fdfa9e545325f23ee58b7ffb5a5f78d1bac7dbb4d7153296d07082ee\",0,\"lean_workbook_plus_30892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011934.lean\",\"a77abd0069e1d9903e61891d3f40444b486d50294428d3c84a519a2fcfdf08db\",0,\"lean_workbook_plus_16155\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011935.lean\",\"50ba85d6e2abeaa4efc653f339229e61174053c99871e2148039cccedbb90274\",0,\"lean_workbook_plus_56432\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141356,
+      "path": "data/train/p6c/oproofs-s00002-r00011932-n000004-0000-1c3e2b893404b02e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1c3e2b893404b02ec2fe751e2c05844e97de1ef0dde5911bd0587a6448c3aa66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011936-n000004.json b/manifests/batches/oproofs/s00002-r00011936-n000004.json
index 8607efcf74968a019b01eb321ab5f0b23a1d2ee1..ff9b2f486face92d4f9a20217fe0073bf63a1927 100644
--- a/manifests/batches/oproofs/s00002-r00011936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011936-n000004",
   "batch_fingerprint": "1590d80da9863232ea532a50155817b7abb767bba3f4aec6fdec6dffa9eb9f2c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011936-n000004-0000-afe5ab23ff1d71c1.parquet",
-      "sha256": "afe5ab23ff1d71c1778d7eace256588217b318017c687827904781e1098bdbed",
-      "bytes": 313959,
-      "rows": 14,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11937",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011937.lean\",\"55737bc531cd843999fdea1beb98d85ed8df913ac4f637f64f9ef5d0aa809843\",0,\"lean_workbook_plus_59741\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011938.lean\",\"679f95cb09a6b6ac490c722044ed06d83ba3a63f1c8cab3c7b7709ef232b9dfa\",0,\"lean_workbook_plus_25043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011939.lean\",\"8ad6b8d2d1d49fec134b6e2e54cef9566e90704fe5dbb0d492d377ad2a151d24\",0,\"lean_workbook_plus_80899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313959,
+      "path": "data/train/pdc/oproofs-s00002-r00011936-n000004-0000-afe5ab23ff1d71c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "afe5ab23ff1d71c1778d7eace256588217b318017c687827904781e1098bdbed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011940-n000004.json b/manifests/batches/oproofs/s00002-r00011940-n000004.json
index a29645e2cd0db6d3ae74d93a2e9bd48c0a363fc2..f5ca54efc547a76ed81c493e256da9a0c675d89d 100644
--- a/manifests/batches/oproofs/s00002-r00011940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011940-n000004",
   "batch_fingerprint": "7d3cfad9c21e0d70bc8aa8d1a7fbba1f5c2191f41db08ce91f800d8b2e67d6e7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011940-n000004-0000-aef2e8792064e78b.parquet",
-      "sha256": "aef2e8792064e78b3bd19e3c15150b0597e4823f005918501fa84c841071a666",
-      "bytes": 247384,
-      "rows": 12,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11941",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011941.lean\",\"93851da94a108b39f4c0fbe3266fd223456788c861afb1512b9067e7ab0cfb34\",0,\"lean_workbook_plus_59440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011942.lean\",\"2b40b14a7971b6d00f408b9f01b6acbf78c599b7f2ddf36fcb6a582330fdc2c8\",0,\"lean_workbook_plus_27697\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011943.lean\",\"f95ec6afc39b6526b7ed815c436c05976cdb422b9cb768ba08b5122bfd17b3d3\",0,\"lean_workbook_14718\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247384,
+      "path": "data/train/p2c/oproofs-s00002-r00011940-n000004-0000-aef2e8792064e78b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "aef2e8792064e78b3bd19e3c15150b0597e4823f005918501fa84c841071a666"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011944-n000004.json b/manifests/batches/oproofs/s00002-r00011944-n000004.json
index a78ca310c5d884c472cd71e6251be97170df39a5..fa7c063550830878288d4aff19e1c4121cc6c708 100644
--- a/manifests/batches/oproofs/s00002-r00011944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011944-n000004",
   "batch_fingerprint": "466ccab7d212877c09c4a478635f28b7a4faf426537a0a2b1dc736ef15281d73",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011944-n000004-0000-8222442823d00936.parquet",
-      "sha256": "8222442823d009364a7061362ebe109fc1776a11d5d0399bc7afaeb3052c6789",
-      "bytes": 487957,
-      "rows": 8,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011944-n000004-0000-c113dede16f838a1.parquet",
-      "sha256": "c113dede16f838a19d052587e2e85effed4f8f9787152873955a73b4ba280f9c",
-      "bytes": 65040,
-      "rows": 7,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11945",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011945.lean\",\"4a88a1a8ad12548157c623dcacf7c73b9e5a0061e06c7302496f84049e0cbe03\",0,\"lean_workbook_plus_4695\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011946.lean\",\"7d87e4ef806c7179369eb0158047291ecbd32c6c7a70a623562eb8c6807d8f32\",0,\"lean_workbook_plus_27164\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011947.lean\",\"87e5f8d35fc9106e9782310d639f1ba014a6da365aaec105d5c6148b92b3c2a2\",0,\"lean_workbook_plus_44671\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 487957,
+      "path": "data/train/p62/oproofs-s00002-r00011944-n000004-0000-8222442823d00936.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8222442823d009364a7061362ebe109fc1776a11d5d0399bc7afaeb3052c6789"
+    },
+    {
+      "bytes": 65040,
+      "path": "data/internal_test/p62/oproofs-s00002-r00011944-n000004-0000-c113dede16f838a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c113dede16f838a19d052587e2e85effed4f8f9787152873955a73b4ba280f9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011948-n000004.json b/manifests/batches/oproofs/s00002-r00011948-n000004.json
index 1d40ec2ba6fd1873f78d89e0655a4f299cc5a5dc..c69be0c849a9838783bcd1278c13a8e486515764 100644
--- a/manifests/batches/oproofs/s00002-r00011948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011948-n000004",
   "batch_fingerprint": "94a90580f9b3b974d8c9c6aa3a08ed63b9d3c72715acb4bf415edbdb92bab314",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011948-n000004-0000-30029c5943058703.parquet",
-      "sha256": "30029c59430587035d2ee1e957ea17afc992011a0ad789d7eecd6748014de049",
-      "bytes": 365284,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011948-n000004-0000-f230176f3a864078.parquet",
-      "sha256": "f230176f3a8640785dc90dee3407a5e1d1868323ad761a876c87a73736df33dc",
-      "bytes": 37730,
-      "rows": 3,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011949.lean\",\"f9c36ea155506be960f7d799917874d283393ff026d62dcf6124b2ff5a9da687\",0,\"lean_workbook_plus_58037\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011950.lean\",\"d4a944ea4a9ff7ceba710f377e31e5f26907ae6d6849e9ba0e775d21d0eb55a0\",0,\"lean_workbook_plus_45337\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011951.lean\",\"980bfc814b492fcb7a27886dabc594dfd1a45df9cf6fe01ff551c5b7de2f774e\",0,\"lean_workbook_2077\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365284,
+      "path": "data/train/pf0/oproofs-s00002-r00011948-n000004-0000-30029c5943058703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "30029c59430587035d2ee1e957ea17afc992011a0ad789d7eecd6748014de049"
+    },
+    {
+      "bytes": 37730,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00011948-n000004-0000-f230176f3a864078.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f230176f3a8640785dc90dee3407a5e1d1868323ad761a876c87a73736df33dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011952-n000004.json b/manifests/batches/oproofs/s00002-r00011952-n000004.json
index 636f9908158e867cd5e69c0e9e43204df79a6f0a..9138504eece4e76690a3b715eaae27ddfd82e9f1 100644
--- a/manifests/batches/oproofs/s00002-r00011952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011952-n000004",
   "batch_fingerprint": "a4b9228efc3be4bff11cb92f9d4246c79ec03991d994c4aa076ceec2828b36b0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011952-n000004-0000-c4c08bdd70827fe9.parquet",
-      "sha256": "c4c08bdd70827fe91f9aef45786f51b0eb4bde6a542edcb8530a55b0e34b8f3c",
-      "bytes": 370615,
-      "rows": 22,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011953.lean\",\"84952c66afef87f833b5d12b1e83f0b5def76dcd8b9ae6890118c07f7b041cd5\",0,\"lean_workbook_plus_42712\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011954.lean\",\"de7e28361cf9a23c998b36e98f6ac85ce374f98e8132a7a3f420f5457391c209\",0,\"lean_workbook_38595\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011955.lean\",\"509ade276502919b97515bc02c5681bd288c1e22fc596a56738a3cfbeeebd800\",0,\"lean_workbook_27982\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370615,
+      "path": "data/train/pb2/oproofs-s00002-r00011952-n000004-0000-c4c08bdd70827fe9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "c4c08bdd70827fe91f9aef45786f51b0eb4bde6a542edcb8530a55b0e34b8f3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011956-n000004.json b/manifests/batches/oproofs/s00002-r00011956-n000004.json
index 7dacd17bc41519fc8f03c726ab0c1617c645903f..f335c16ccd2f1c7a5db0a723dc0f1fe919b3efb4 100644
--- a/manifests/batches/oproofs/s00002-r00011956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011956-n000004",
   "batch_fingerprint": "4f2919170e1a1a31ff09c93cc236523baa33529f84028ba4eb43a468e91ef0cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011956-n000004-0000-c62626643309cfd1.parquet",
-      "sha256": "c62626643309cfd1c08f025d2fd4c7a9aee5b39abe9702a2756c2f2cecc2fbf3",
-      "bytes": 83448,
-      "rows": 7,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011956-n000004-0000-c4950b3fd035280f.parquet",
-      "sha256": "c4950b3fd035280fe5fce127ffc3a6d622734ddd3cea16ae5c718c321358dc90",
-      "bytes": 90238,
-      "rows": 3,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11957",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011957.lean\",\"3ae6c123879aac2517cb5cf5dc6f091c9c9fa3e86a53fbb50a2acdfa90d1b5c7\",0,\"lean_workbook_plus_10598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011958.lean\",\"fb128c3c55efbfec53d3eadde9fa1b83f7d1c870baccc172e3d07e563c19baba\",0,\"chocolate_factory_hours\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011959.lean\",\"3982fc3d9f979ccbb8e4273816c11c897646f3b6f6f182ee8e0af6a91de51467\",0,\"lean_workbook_plus_82290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83448,
+      "path": "data/train/pad/oproofs-s00002-r00011956-n000004-0000-c62626643309cfd1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "c62626643309cfd1c08f025d2fd4c7a9aee5b39abe9702a2756c2f2cecc2fbf3"
+    },
+    {
+      "bytes": 90238,
+      "path": "data/internal_test/pad/oproofs-s00002-r00011956-n000004-0000-c4950b3fd035280f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c4950b3fd035280fe5fce127ffc3a6d622734ddd3cea16ae5c718c321358dc90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011960-n000004.json b/manifests/batches/oproofs/s00002-r00011960-n000004.json
index 60fb9e3aa2c155d839a8d58f169113ab3478add9..96532c91aa539faab428cc822ee53db5e52c9993 100644
--- a/manifests/batches/oproofs/s00002-r00011960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011960-n000004",
   "batch_fingerprint": "0e8c9e598830a96428c3291c75dacbc6f774b0957acd20b313104d19f2ab6ffb",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011960-n000004-0000-408f1af6d5b55da0.parquet",
-      "sha256": "408f1af6d5b55da0c221b9e2af01b156b47393c0ea60406146ceee67ea9d54bf",
-      "bytes": 306050,
-      "rows": 10,
-      "revision": "aabcb92e4714ffaf8db87efd88e7014fd9f32249"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011960-n000004-0000-6d3b4b222daed6e8.parquet",
-      "sha256": "6d3b4b222daed6e86ce5ec5ad3ee8b8a31ca424e4a93f71f0436b135da3fa5af",
-      "bytes": 50367,
-      "rows": 3,
-      "revision": "aabcb92e4714ffaf8db87efd88e7014fd9f32249"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11961",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011960.lean\",\"ca59f82a9bee150ac852df924b2f697008a7ca5707066e65f74782b0f12adfcd\",0,\"lean_workbook_plus_46567\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011961.lean\",\"af8154d8a28a4050ec5d69b64a63ef59042b62711a20bc2edc366f0808f0e1ca\",0,\"lean_workbook_plus_41181\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011963.lean\",\"e6ec5bb44e60853aa30c34deb5d543205538bd29ab7e8ba195fea6524eee887c\",0,\"lean_workbook_plus_2115\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 306050,
+      "path": "data/train/p00/oproofs-s00002-r00011960-n000004-0000-408f1af6d5b55da0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "408f1af6d5b55da0c221b9e2af01b156b47393c0ea60406146ceee67ea9d54bf"
+    },
+    {
+      "bytes": 50367,
+      "path": "data/dev/p00/oproofs-s00002-r00011960-n000004-0000-6d3b4b222daed6e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6d3b4b222daed6e86ce5ec5ad3ee8b8a31ca424e4a93f71f0436b135da3fa5af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011964-n000004.json b/manifests/batches/oproofs/s00002-r00011964-n000004.json
index 004655c164a8f6e67f1e63025af702d1a4493cf8..89caf44ecc1c9302ea62f48e2f7f32fd2e1a7da7 100644
--- a/manifests/batches/oproofs/s00002-r00011964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011964-n000004",
   "batch_fingerprint": "972346e4294156889cf5433d88cb2800fb1ea98e939bd8708ea121ef1532ad7e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011964-n000004-0000-6f35d65c5d536153.parquet",
-      "sha256": "6f35d65c5d53615373285f42299d90d42f8e9276dfc504fb038bd93d40269d7f",
-      "bytes": 115514,
-      "rows": 11,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00011964-n000004-0000-5c551775a271790e.parquet",
-      "sha256": "5c551775a271790e6736d3a602330b5991c385735b5f40bcadb9b51ba72cd288",
-      "bytes": 36406,
-      "rows": 3,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11965",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011965.lean\",\"314acccee7551725fc9bcdd3be043211f300637614022ca96415b9642bf58ff5\",0,\"lean_workbook_plus_75896\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011966.lean\",\"668c88593bc87a4db7b588cd71a2edb506d73da0d5ebb04eca32d1e90c0cbdff\",0,\"lean_workbook_50886\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011967.lean\",\"5729bf66aabe9e4c6554045f0a55847bb784074922f7aa741525e09583bdb45f\",0,\"lean_workbook_44076\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 115514,
+      "path": "data/train/p9c/oproofs-s00002-r00011964-n000004-0000-6f35d65c5d536153.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6f35d65c5d53615373285f42299d90d42f8e9276dfc504fb038bd93d40269d7f"
+    },
+    {
+      "bytes": 36406,
+      "path": "data/dev/p9c/oproofs-s00002-r00011964-n000004-0000-5c551775a271790e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5c551775a271790e6736d3a602330b5991c385735b5f40bcadb9b51ba72cd288"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011968-n000004.json b/manifests/batches/oproofs/s00002-r00011968-n000004.json
index dab94916664601f1b43ce207696850c4db33d68e..840b959df89845c67fee1d679cbaa8eddbe64a5f 100644
--- a/manifests/batches/oproofs/s00002-r00011968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011968-n000004",
   "batch_fingerprint": "48c4e07b973b7140d14171ad8e22fdf73df5e5de7b00020b64b31e7cba889663",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011968-n000004-0000-7f560dd2d6345b78.parquet",
-      "sha256": "7f560dd2d6345b78efbcdcc009e7893c0d1d87dd4ff5fe691bb7064b1689dabe",
-      "bytes": 216475,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11969",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011969.lean\",\"2744aa441f2ce16a5207f0f18c56d76362ddb1d8c651faaa24f32874f61f5e99\",0,\"lean_workbook_plus_44079\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011970.lean\",\"2603515f338373f16e23a22d140c7c1136b0020ac830e30d2e5163034af42bed\",0,\"lean_workbook_plus_62794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011971.lean\",\"571baf6c7bc10b09328108d35943416ecf38a8ab8e684964c549d60c73228aef\",0,\"lean_workbook_plus_25963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216475,
+      "path": "data/train/pdf/oproofs-s00002-r00011968-n000004-0000-7f560dd2d6345b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "7f560dd2d6345b78efbcdcc009e7893c0d1d87dd4ff5fe691bb7064b1689dabe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011972-n000004.json b/manifests/batches/oproofs/s00002-r00011972-n000004.json
index 9658c36d197d59b479a60fd6db1e19771e309b15..f080493cdbc85639b20c9724826453cb6a758a1d 100644
--- a/manifests/batches/oproofs/s00002-r00011972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011972-n000004",
   "batch_fingerprint": "f4d116fb94c5552c5cad919f53606e12a73fa43636a50717dce90ea5f4b60d70",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011972-n000004-0000-9bacc83c7a1c0e34.parquet",
-      "sha256": "9bacc83c7a1c0e34935cf2c95804d2df552c02300b8da4815ecaa81137dd604a",
-      "bytes": 439044,
-      "rows": 20,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011973.lean\",\"ebf6439570dae5d3c9f6bf57b632e653221d5912a16334efff25ec686b0ae3e6\",0,\"lean_workbook_plus_64907\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011974.lean\",\"9ca298e229afcf1a9f389d15cbefcbaa45b7272267d9999163bb36ac5d75ffe6\",0,\"lean_workbook_27346\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011975.lean\",\"cfe7ec640d319f266e49b57e549e85c179e4e22e24e1863d913af2c948b66226\",0,\"lean_workbook_plus_65731\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 439044,
+      "path": "data/train/p1d/oproofs-s00002-r00011972-n000004-0000-9bacc83c7a1c0e34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "9bacc83c7a1c0e34935cf2c95804d2df552c02300b8da4815ecaa81137dd604a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011976-n000004.json b/manifests/batches/oproofs/s00002-r00011976-n000004.json
index 531a205d9e7eaf9b6734275af8f50c258f2d1d90..e10c1a52c3ce96d241346ded917c2ca12ebe4e82 100644
--- a/manifests/batches/oproofs/s00002-r00011976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011976-n000004",
   "batch_fingerprint": "3fdeb9d1f274465ee1d17e491f6f5ec9ef4e9fed557cf5558d50c4bcb3fa49b1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011976-n000004-0000-dff9a60eb8525d8c.parquet",
-      "sha256": "dff9a60eb8525d8c6764da7651978ee31691aad86d8e183ca31dd9518128cc57",
-      "bytes": 202337,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011977.lean\",\"57c4292cfcc7afaf38b720cc849e0becb61b11b9216d60cb3e25746bf43a0cb8\",0,\"lean_workbook_plus_59019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011978.lean\",\"19fec7aec89297bc4eead3538b73d0d7b310fbaf14575b55eb221006865ed398\",0,\"lean_workbook_plus_51282\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011979.lean\",\"d06c45b9e672835a3eadec2b839e28c75e88840098260248c93880202f62d7fa\",0,\"lean_workbook_plus_31636\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202337,
+      "path": "data/train/p8b/oproofs-s00002-r00011976-n000004-0000-dff9a60eb8525d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "dff9a60eb8525d8c6764da7651978ee31691aad86d8e183ca31dd9518128cc57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011980-n000004.json b/manifests/batches/oproofs/s00002-r00011980-n000004.json
index a116dee2aa924dfe76bfc839420364f7033197ba..138def52f87a70a44a585168f6864620876a11b5 100644
--- a/manifests/batches/oproofs/s00002-r00011980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011980-n000004",
   "batch_fingerprint": "c8aa408fb734417199213dfdac2af09e7a2804a499dd51fa73a8c9b10fe617d4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011980-n000004-0000-09af98ecaf81a283.parquet",
-      "sha256": "09af98ecaf81a2832d003aa92c5fbb1a58fbee8bec4db6affb0a11bbc41b98e8",
-      "bytes": 89928,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011981.lean\",\"46c90154d67128af101e7f09f460166f1fa62cb8323bb86f50f2a3f34ae7e077\",0,\"lean_workbook_23794\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011982.lean\",\"6299dd640edf6cc9fd35cac3c7734f2bf566b6637ab4074e578e1cc4eaa94fe5\",0,\"lean_workbook_plus_33281\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011983.lean\",\"9f41fd7b602ab0431be1bad97f7d4d8f2f5b9425e2fb388cca0022e45b30fb3b\",0,\"lean_workbook_plus_82677\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 89928,
+      "path": "data/train/p56/oproofs-s00002-r00011980-n000004-0000-09af98ecaf81a283.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "09af98ecaf81a2832d003aa92c5fbb1a58fbee8bec4db6affb0a11bbc41b98e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011984-n000004.json b/manifests/batches/oproofs/s00002-r00011984-n000004.json
index f45c97e4689ef2918ededa42224fdd4c39a75bd1..1138b0168911cd4137a3ef7495e57744443754c8 100644
--- a/manifests/batches/oproofs/s00002-r00011984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011984-n000004",
   "batch_fingerprint": "f0e47816275457e3d0c63b851ab3d5efc1e8a6659af8b598b96abc0253cf2c1a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011984-n000004-0000-78a45e88f9aba490.parquet",
-      "sha256": "78a45e88f9aba4906f9a151435c044a6e96b867fd4f03ed968716662adee0607",
-      "bytes": 189849,
-      "rows": 26,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011985.lean\",\"f3db2e029abdd5e968763a46b224693a72c2ce43af73955a6ba8901e95640e1d\",0,\"lean_workbook_plus_13222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011986.lean\",\"e70d4354612b7a3687ebdc615edc36452615c291894138af0ee52ab8a01294b0\",0,\"checkerboard_squares_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011987.lean\",\"868613c1242ee20053f4eb9da83201643dff77121de9cbedb1a9d0c0bb9f31dd\",0,\"lean_workbook_plus_31842\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189849,
+      "path": "data/train/p0b/oproofs-s00002-r00011984-n000004-0000-78a45e88f9aba490.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "78a45e88f9aba4906f9a151435c044a6e96b867fd4f03ed968716662adee0607"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011988-n000004.json b/manifests/batches/oproofs/s00002-r00011988-n000004.json
index e4dd8312dd89a17b1a57603bcef4d15488ff1933..ab9d0f7bb087554e6aa5e96120f7395b14bd7ae3 100644
--- a/manifests/batches/oproofs/s00002-r00011988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011988-n000004",
   "batch_fingerprint": "a5c7c7528310c319f6f765ed0df2bd8583036e7b4b128bfaae63914ff7423905",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011988-n000004-0000-5bd84d6aaf5f4325.parquet",
-      "sha256": "5bd84d6aaf5f4325c1008e39ee1e25dd65e2cefc715596f025969c4add0acfa6",
-      "bytes": 265941,
-      "rows": 13,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00011988-n000004-0000-89cca599a6d216b4.parquet",
-      "sha256": "89cca599a6d216b4c2513b52a22df71c8cec0b40979590e931e868f471e20119",
-      "bytes": 169246,
-      "rows": 4,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011989.lean\",\"bea11cd5001635f551f8d371c4c70a00c70e533b15b7e134914193581c6eef5a\",0,\"lean_workbook_44612\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011990.lean\",\"87d24d01f3b32959257febe91acd1cea9a26ef9a636d4849023911937e4ae20d\",0,\"lean_workbook_plus_79510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011991.lean\",\"3a2f8f071d9c6504ec8253387fa8fe519ae9814163645ff3a5c8ede92ff88cec\",0,\"lean_workbook_plus_32135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265941,
+      "path": "data/train/p97/oproofs-s00002-r00011988-n000004-0000-5bd84d6aaf5f4325.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5bd84d6aaf5f4325c1008e39ee1e25dd65e2cefc715596f025969c4add0acfa6"
+    },
+    {
+      "bytes": 169246,
+      "path": "data/internal_test/p97/oproofs-s00002-r00011988-n000004-0000-89cca599a6d216b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "89cca599a6d216b4c2513b52a22df71c8cec0b40979590e931e868f471e20119"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011992-n000004.json b/manifests/batches/oproofs/s00002-r00011992-n000004.json
index acc07312b6e7b3c7ab9a20c085b24c399aba9f7c..52d4b3a1e2cef256211dbd17bb25dcc521a4f5f5 100644
--- a/manifests/batches/oproofs/s00002-r00011992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011992-n000004",
   "batch_fingerprint": "24d04d1138d99bddfdf2c53e13217c16adb1309ede476b945316ecee64b76d8e",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011992-n000004-0000-5c6eb4544dc75226.parquet",
-      "sha256": "5c6eb4544dc75226fed10e6d51cd36f0f0c8a966194a27513786cd678fa5d50d",
-      "bytes": 1022438,
-      "rows": 27,
-      "revision": "aabcb92e4714ffaf8db87efd88e7014fd9f32249"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11993",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011992.lean\",\"6b83d6ee61d88a9225f5b504a60d0b4447178351b28062d2e39f0d4095370599\",0,\"pyramid_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011993.lean\",\"b7be45db5be8090ab15c22ef093e97b91bcae65748cd6f68301535148c3155d1\",0,\"lean_workbook_44422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011995.lean\",\"70629ac42db05f42612dfd2c13302ab9fbfc1d16f53eb6fff8e2101b7253eb8d\",0,\"lean_workbook_47585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1022438,
+      "path": "data/train/p62/oproofs-s00002-r00011992-n000004-0000-5c6eb4544dc75226.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "5c6eb4544dc75226fed10e6d51cd36f0f0c8a966194a27513786cd678fa5d50d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00011996-n000004.json b/manifests/batches/oproofs/s00002-r00011996-n000004.json
index c78b65bbeb4c68cf93e52bb640049e13194e4348..137d7715f1cde4749061ca6c3c86df35c889281c 100644
--- a/manifests/batches/oproofs/s00002-r00011996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00011996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00011996-n000004",
   "batch_fingerprint": "a487e8bbc2d74dd0fb0fb5630c654d43c6d12d4d23b8c15916572ccfee479bd8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00011996-n000004-0000-5cfccaada65ca5e9.parquet",
-      "sha256": "5cfccaada65ca5e98fe0823c6f11e6543452f36f5aa3ca045249d0c2d57e7503",
-      "bytes": 542226,
-      "rows": 23,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:11997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011997.lean\",\"9ceb90dc9b4ba6e42b5111a13ffc32c3b1aa5b14295621ef7e5c743140732e56\",0,\"lean_workbook_plus_57903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011998.lean\",\"35ffd96c541980a33a644a91d377c70b8e7df8399ec181836fdf4a8678bd857d\",0,\"lean_workbook_plus_62744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_011999.lean\",\"b6141f9a2931455f89c5029e2ac37508495bc01854988db3740bf96aaf76d87a\",0,\"lean_workbook_30278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 542226,
+      "path": "data/train/p1d/oproofs-s00002-r00011996-n000004-0000-5cfccaada65ca5e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "5cfccaada65ca5e98fe0823c6f11e6543452f36f5aa3ca045249d0c2d57e7503"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012000-n000004.json b/manifests/batches/oproofs/s00002-r00012000-n000004.json
index 7baca3a8156ae70a1e742ed8729ec26e1ef41852..b221ca3837e24fa2ec8935daca87df6fc9591ec5 100644
--- a/manifests/batches/oproofs/s00002-r00012000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012000-n000004",
   "batch_fingerprint": "36abb211ae2199cc2e6df718853186269aa58effc8fa531651f092d97b0851b2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012000-n000004-0000-825cacd5c630b1df.parquet",
-      "sha256": "825cacd5c630b1dff39ad6940b7e98cedc4e728f674fb399c88d597c41b33cc7",
-      "bytes": 309673,
-      "rows": 18,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012001.lean\",\"c4f7f474e7f5747649ed33cd6c3df21e7690a8dd546ba214fa4021380c6e001f\",0,\"lean_workbook_plus_33924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012002.lean\",\"665ba63542bec421a3108fc44c5c0ea3afaf2ab05c5ec6ceef116eb6de49c56a\",0,\"lean_workbook_plus_58422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012003.lean\",\"17540bfe46e3448ca18a938dd3dc997f04e64139bfda9e6cbe3cc0afa5fbe06b\",0,\"lean_workbook_plus_55893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309673,
+      "path": "data/train/pcb/oproofs-s00002-r00012000-n000004-0000-825cacd5c630b1df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "825cacd5c630b1dff39ad6940b7e98cedc4e728f674fb399c88d597c41b33cc7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012004-n000004.json b/manifests/batches/oproofs/s00002-r00012004-n000004.json
index 944282bb9bd08e7fc5f12fe2b0312fbf7aa0ec25..6df34a80ff763e2c022c2e3f34de3b67df44166e 100644
--- a/manifests/batches/oproofs/s00002-r00012004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012004-n000004",
   "batch_fingerprint": "bf1b48cc9d7cd4529370d9a7c48f8eace8435b1de4fc1801fe69066391c46464",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012004-n000004-0000-6e2977bd67830280.parquet",
-      "sha256": "6e2977bd67830280f7aa11c9bf278277c9d07f4f4eeea6bb570f2d1fdff7990c",
-      "bytes": 120862,
-      "rows": 15,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012004-n000004-0000-fea30319a6d2b95d.parquet",
-      "sha256": "fea30319a6d2b95d51ecc5c25cc7038d4dc04c8d2d767221c321b339e0f16d65",
-      "bytes": 115004,
-      "rows": 3,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12005",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012005.lean\",\"27501f76fd1dbda0070fbc99e75e36e433e06a9a1f594d3f6cffa1bb26f821dc\",0,\"lean_workbook_plus_38892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012006.lean\",\"696bdff67b0976ae9a244d2693c6a402f259743e60d39aaecdf161cf7824ddab\",0,\"lean_workbook_plus_78224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012007.lean\",\"bbea1354070cfb576495e72446cf9a133cbc20ab885d191f2203be210ff5067f\",0,\"lean_workbook_plus_47830\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120862,
+      "path": "data/train/pd8/oproofs-s00002-r00012004-n000004-0000-6e2977bd67830280.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6e2977bd67830280f7aa11c9bf278277c9d07f4f4eeea6bb570f2d1fdff7990c"
+    },
+    {
+      "bytes": 115004,
+      "path": "data/dev/pd8/oproofs-s00002-r00012004-n000004-0000-fea30319a6d2b95d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fea30319a6d2b95d51ecc5c25cc7038d4dc04c8d2d767221c321b339e0f16d65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012008-n000004.json b/manifests/batches/oproofs/s00002-r00012008-n000004.json
index 42821bcb02e7f4dcc981afc3af20f671853bbc5c..522706c90c5e425ab51e41365fce7ce987080d41 100644
--- a/manifests/batches/oproofs/s00002-r00012008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012008-n000004",
   "batch_fingerprint": "871cdb3ccd611b53ce8e62b8cb73d435b5850fb03b17a1c0039bf8d575771668",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012008-n000004-0000-3f5cea5e0985e46f.parquet",
-      "sha256": "3f5cea5e0985e46f57c3b89e053e8d6f397812e6c10bca86908963566ada14c4",
-      "bytes": 317738,
-      "rows": 24,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12009",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012009.lean\",\"4d92b144aedd58c6a52bfab9bb3b2fb4e50d9b5c357887a67eacc013df049a45\",0,\"lean_workbook_37371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012010.lean\",\"b93196557adbae316eaa0dc0e25dbbd61e41cc7acb1d5fd5dc285f89ffdb3ab7\",0,\"lean_workbook_plus_21496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012011.lean\",\"1e1738f19ff4336afbdd27999f6d22a48489563b1c3117863d52a1a47914a1a9\",0,\"lean_workbook_plus_33192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317738,
+      "path": "data/train/p0d/oproofs-s00002-r00012008-n000004-0000-3f5cea5e0985e46f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "3f5cea5e0985e46f57c3b89e053e8d6f397812e6c10bca86908963566ada14c4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012012-n000004.json b/manifests/batches/oproofs/s00002-r00012012-n000004.json
index dc464ad300c19f2afab8bd95c90723e9a6d80a3d..5a36059b1bdb2b29e4115a2527e6adbff6154b9f 100644
--- a/manifests/batches/oproofs/s00002-r00012012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012012-n000004",
   "batch_fingerprint": "c040c8863801407d2dbf8b72a1b5db919b0c859ed3e537d045948d3eb1703ee7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012012-n000004-0000-1874d50374d4c883.parquet",
-      "sha256": "1874d50374d4c883f032f5851e9e44fd46fa4ecaf84cbdce6df5a29b6a2a6944",
-      "bytes": 164465,
-      "rows": 17,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12013",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012013.lean\",\"ad34effc361157272e32206673294fac433319f6e68e660da9bd8d1d6ce8c16b\",0,\"lean_workbook_plus_81135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012014.lean\",\"92f03c13441e8cdf4b9371d1dc09aa5dc1c1e6f5d1e2ab5f4daa72bb60868c16\",0,\"lean_workbook_plus_10940\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012015.lean\",\"a745d1cb6dac6c615668c6a4bd68d62ccf2be0e476f20edc6c0f32aac51349e9\",0,\"lean_workbook_plus_75447\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164465,
+      "path": "data/train/p8c/oproofs-s00002-r00012012-n000004-0000-1874d50374d4c883.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "1874d50374d4c883f032f5851e9e44fd46fa4ecaf84cbdce6df5a29b6a2a6944"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012016-n000004.json b/manifests/batches/oproofs/s00002-r00012016-n000004.json
index 7d464b1f7210785f5e52c3a48feca8dc8f17a815..dc258b4e540e2cf485dd406f7e3ed552c1a66e24 100644
--- a/manifests/batches/oproofs/s00002-r00012016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012016-n000004",
   "batch_fingerprint": "bf5351f5d8fe38e19d5556b9368fb5a0ddf0545b3d3e8f976c561e12005cfbbe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012016-n000004-0000-adc2987d6f7e0e40.parquet",
-      "sha256": "adc2987d6f7e0e40f3685c6385ae69b4ff0cb8cc362133d455c7b8920b6fa144",
-      "bytes": 209518,
-      "rows": 16,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012016-n000004-0000-d4454ad95849a7d5.parquet",
-      "sha256": "d4454ad95849a7d5d9c5973bbf3d0735af5764cd58c81ee12593e64b49dc9547",
-      "bytes": 35835,
-      "rows": 3,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012017.lean\",\"ba504fedd2de92a0f4c0bdf6f51def472dae60012e8aa101450a18ef07f989a4\",0,\"lean_workbook_plus_45581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012018.lean\",\"00f365fcb305b567dce13bb9f283c8b46d2ab7adf439a57c3ee3c7747f6c7ef7\",0,\"lean_workbook_plus_42566\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012019.lean\",\"dba0b1a7df07739527a8bf840bf36f035b4310a77b13afa65d896ddea83b7289\",0,\"lean_workbook_26268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209518,
+      "path": "data/train/pd6/oproofs-s00002-r00012016-n000004-0000-adc2987d6f7e0e40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "adc2987d6f7e0e40f3685c6385ae69b4ff0cb8cc362133d455c7b8920b6fa144"
+    },
+    {
+      "bytes": 35835,
+      "path": "data/internal_test/pd6/oproofs-s00002-r00012016-n000004-0000-d4454ad95849a7d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d4454ad95849a7d5d9c5973bbf3d0735af5764cd58c81ee12593e64b49dc9547"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012020-n000004.json b/manifests/batches/oproofs/s00002-r00012020-n000004.json
index 3006c3ecb6b5010f2aff723f711aac428e4e5e45..8a8fb74f426a43fc5d4e4d563fe3d0e53f795525 100644
--- a/manifests/batches/oproofs/s00002-r00012020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012020-n000004",
   "batch_fingerprint": "fc03b21497d993d90d4b53c9d0e467edabb25aadbc680a666ae3d1133e662ebd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012020-n000004-0000-b081ff42b13ebb49.parquet",
-      "sha256": "b081ff42b13ebb492fc29122abc5b98d8749e28b5fd07edcf4af8e29bad1f99e",
-      "bytes": 175378,
-      "rows": 12,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012021.lean\",\"0511cd3f36585cebc013f6a48c3fa59491846a80cf15035aa575c72f2a03db82\",0,\"lean_workbook_plus_63191\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012022.lean\",\"0a651076888b48dffe873dcc9a7a81851f47b9b7b484e5cded7f0e4ee36bf254\",0,\"f_geq_ag_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012023.lean\",\"8fd87c5afb797acb4b7f464f6e2cdf18d8a2990ae0732bd3535febd3e74dad36\",0,\"lean_workbook_plus_54429\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175378,
+      "path": "data/train/pd1/oproofs-s00002-r00012020-n000004-0000-b081ff42b13ebb49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b081ff42b13ebb492fc29122abc5b98d8749e28b5fd07edcf4af8e29bad1f99e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012024-n000004.json b/manifests/batches/oproofs/s00002-r00012024-n000004.json
index d2ae3babb3c0c8265b14b2f66fc1342cab2e179c..faa91c43da9e248ca3155949df5ca967bdfea115 100644
--- a/manifests/batches/oproofs/s00002-r00012024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012024-n000004",
   "batch_fingerprint": "6147643edb00ab7ae2c41e2d732a588aa6ab64b2500f8d9e283bbd1710e350ae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012024-n000004-0000-04aa44bd0a9cba88.parquet",
-      "sha256": "04aa44bd0a9cba8887bfe901af77a26aca186489b8124a6d05e19b7b94f88d59",
-      "bytes": 204124,
-      "rows": 18,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12025",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012025.lean\",\"9d0c5dc5be3ba631c300af6da125f2f597779564ce61e53c4e3ebe1fa73bb82e\",0,\"lean_workbook_plus_66476\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012026.lean\",\"c209efa51926693979d05352b6f5da01013a1be6b0f07c08610b3b2465615955\",0,\"lean_workbook_plus_19729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012027.lean\",\"fd6317f5d42d1833b6a7a44509d5d89461dee8c8c496cd48057a1f9edb3a3991\",0,\"lean_workbook_plus_27288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 204124,
+      "path": "data/train/pbd/oproofs-s00002-r00012024-n000004-0000-04aa44bd0a9cba88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "04aa44bd0a9cba8887bfe901af77a26aca186489b8124a6d05e19b7b94f88d59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012028-n000004.json b/manifests/batches/oproofs/s00002-r00012028-n000004.json
index 17f423f72dfbe92a52d1f2fef120649601e54625..adede3932cd06060d81ad8be7fd17e1266d13a2d 100644
--- a/manifests/batches/oproofs/s00002-r00012028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012028-n000004",
   "batch_fingerprint": "bcbf02e392445cbab2488e29f05e2883cc5d5dcbea6c291e94597427fb77bf27",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012028-n000004-0000-fe981e1632e21e5d.parquet",
-      "sha256": "fe981e1632e21e5d358d95d065a39863f2c1d81a832791dd58f43435aac1fc76",
-      "bytes": 243792,
-      "rows": 19,
-      "revision": "46995447c635eabbad08d5b0cb0c4fa778805700"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012029.lean\",\"996b09da8d9a09f1687626b925865587158b378a6bb9470cdbb89e0d04cc14cf\",0,\"student_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012030.lean\",\"2faa067cceb88f6f2a8b505bc90ec5a926fa0d607649b7fc082997e956e9f1c1\",0,\"lean_workbook_plus_54393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012031.lean\",\"b346ccdbdca2eae49af3c54e706c7e1e8b7f029b8025157e2b9e3e1bf3c7f221\",0,\"lean_workbook_36248\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 243792,
+      "path": "data/train/p42/oproofs-s00002-r00012028-n000004-0000-fe981e1632e21e5d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fe981e1632e21e5d358d95d065a39863f2c1d81a832791dd58f43435aac1fc76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012032-n000004.json b/manifests/batches/oproofs/s00002-r00012032-n000004.json
index 9873cef0a58677c4f8c01b180b713837b8edeb0c..4914500af4cb3fa0b8e2d73bc4c81fbf6b59c598 100644
--- a/manifests/batches/oproofs/s00002-r00012032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012032-n000004",
   "batch_fingerprint": "e240b5ae42446f3a3069155d4419100ffde17ca52a9dd4cee11995198384a9d9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012032-n000004-0000-b6d79768c7cce2ff.parquet",
-      "sha256": "b6d79768c7cce2ff8226da3a569a1e5502a8b2d130693fd717005e9707b94307",
-      "bytes": 679568,
-      "rows": 14,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012032-n000004-0000-cd639fcb5f35f620.parquet",
-      "sha256": "cd639fcb5f35f620984781e6cfa8f9e7081db6db32c54ff637c80351bb763a2e",
-      "bytes": 112971,
-      "rows": 7,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12033",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012033.lean\",\"37679d905df8b3c5d36ed8df4601d3b91b0d074e600d2d760534ead5ba4e1f21\",0,\"lean_workbook_plus_18797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012034.lean\",\"d641c1cc901285f8da854de6aff660b476ac6599f609381109ce994be71ba4d4\",0,\"lean_workbook_plus_21545\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012035.lean\",\"62c2a44a1de6812b6f3f77ed1cdb3e4dd86076df1bf456cc9391ca18dada0008\",0,\"lean_workbook_plus_69292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 679568,
+      "path": "data/train/pb6/oproofs-s00002-r00012032-n000004-0000-b6d79768c7cce2ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b6d79768c7cce2ff8226da3a569a1e5502a8b2d130693fd717005e9707b94307"
+    },
+    {
+      "bytes": 112971,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00012032-n000004-0000-cd639fcb5f35f620.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "cd639fcb5f35f620984781e6cfa8f9e7081db6db32c54ff637c80351bb763a2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012036-n000004.json b/manifests/batches/oproofs/s00002-r00012036-n000004.json
index 022a6930d177332d304b8c81ebc61bbf26b8b06c..e11b77ea3d0d00e34830114e14bb34f488c2e7e1 100644
--- a/manifests/batches/oproofs/s00002-r00012036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012036-n000004",
   "batch_fingerprint": "e20aac90e04c0b468953fe100912220f5460779f41437e5de0795eaffbaea96f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012036-n000004-0000-d390528007be68c7.parquet",
-      "sha256": "d390528007be68c7bf63ecf5ffbc3525408bcb407562e9350ed323e1f52cfbfb",
-      "bytes": 132147,
-      "rows": 11,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012036-n000004-0000-54dd399ca16a44bb.parquet",
-      "sha256": "54dd399ca16a44bb2565b78c0469145568882808b91156058d24a9c3981220df",
-      "bytes": 92272,
-      "rows": 5,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12037",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012037.lean\",\"6401d080356129d223a5efbfc6299bd9be11dce0d1613a504e52ffe30f6a4322\",0,\"lean_workbook_plus_44479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012038.lean\",\"73e116d555abd007eca4d366e7249b3575abe650925264c5a6757a963b93cb7a\",0,\"lean_workbook_plus_17547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012039.lean\",\"38f0f2726f1be51ab4317f5417ee224d29e970dc08493ace84ce5799c529e556\",0,\"lean_workbook_44227\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132147,
+      "path": "data/train/pbf/oproofs-s00002-r00012036-n000004-0000-d390528007be68c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "d390528007be68c7bf63ecf5ffbc3525408bcb407562e9350ed323e1f52cfbfb"
+    },
+    {
+      "bytes": 92272,
+      "path": "data/internal_test/pbf/oproofs-s00002-r00012036-n000004-0000-54dd399ca16a44bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "54dd399ca16a44bb2565b78c0469145568882808b91156058d24a9c3981220df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012040-n000004.json b/manifests/batches/oproofs/s00002-r00012040-n000004.json
index 248d0f86c01dcb30c4dc353162b9f7e37f0ce77f..0d94620355c5247ce512d9ace25675a8d1743dc4 100644
--- a/manifests/batches/oproofs/s00002-r00012040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012040-n000004",
   "batch_fingerprint": "a56f3eb327bd99b90bcd546db23ea4685070e8cf667bc1f21860cd097d2f4055",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12040",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12041",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12042",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12043"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012040.lean\",\"86ee56210a7f4020f4ee76117a2bfd15536de6e212c451931dbe6aeba7860eaf\",0,\"lean_workbook_26565\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012041.lean\",\"140f0675a747f021b29c54aeee0b693c33c95f5e835a0f6aa31bb16a1fa90f86\",0,\"lean_workbook_38662\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012042.lean\",\"811d329744310c08bba13b4a57402e2fb1b24c75af417870c8b03bfc89e368e0\",0,\"lean_workbook_21039\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012043.lean\",\"e4e0932cb63b7512f4025711b2e6a7aae30710315dd32b8cb2a12e1c3f153b5a\",0,\"lean_workbook_38034\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012040-n000004-0000-eaa748965371efc7.parquet",
-      "sha256": "eaa748965371efc7ca6150996e5b673d9a5c100304f3c7dd4c8a32bfe467294a",
       "bytes": 307053,
+      "path": "data/train/p18/oproofs-s00002-r00012040-n000004-0000-eaa748965371efc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
+      "sha256": "eaa748965371efc7ca6150996e5b673d9a5c100304f3c7dd4c8a32bfe467294a"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012040-n000004-0000-a495daf7d5500187.parquet",
-      "sha256": "a495daf7d55001870b25fa56cc5dbcc7c1e85fd1c942dda393766c3d175ef505",
       "bytes": 163907,
+      "path": "data/dev/p18/oproofs-s00002-r00012040-n000004-0000-a495daf7d5500187.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
+      "sha256": "a495daf7d55001870b25fa56cc5dbcc7c1e85fd1c942dda393766c3d175ef505"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012040-n000004-0000-3dd3dfa8a50e918e.parquet",
-      "sha256": "3dd3dfa8a50e918e34ad81a0acab9dd783463901f03747c5ffe554dbd458c296",
       "bytes": 148810,
+      "path": "data/internal_test/p18/oproofs-s00002-r00012040-n000004-0000-3dd3dfa8a50e918e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
+      "sha256": "3dd3dfa8a50e918e34ad81a0acab9dd783463901f03747c5ffe554dbd458c296"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12040",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12041",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12042",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12043"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012040.lean\",\"86ee56210a7f4020f4ee76117a2bfd15536de6e212c451931dbe6aeba7860eaf\",0,\"lean_workbook_26565\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012041.lean\",\"140f0675a747f021b29c54aeee0b693c33c95f5e835a0f6aa31bb16a1fa90f86\",0,\"lean_workbook_38662\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012042.lean\",\"811d329744310c08bba13b4a57402e2fb1b24c75af417870c8b03bfc89e368e0\",0,\"lean_workbook_21039\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012043.lean\",\"e4e0932cb63b7512f4025711b2e6a7aae30710315dd32b8cb2a12e1c3f153b5a\",0,\"lean_workbook_38034\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012044-n000004.json b/manifests/batches/oproofs/s00002-r00012044-n000004.json
index 9a054dff3535377fee1b2e920cfad3df3815eb4b..7eea7c28ab34c3cf6d265bc15688aee85252d0f2 100644
--- a/manifests/batches/oproofs/s00002-r00012044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012044-n000004",
   "batch_fingerprint": "a6986d385d4eb72fa006f9bb8c1e8696720895a54b62bd50eceaf39fdea44d31",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012044-n000004-0000-26b25c88a446882e.parquet",
-      "sha256": "26b25c88a446882edf690849d2d21d284d238d81a7740973770bcec23cbe5a7f",
-      "bytes": 165983,
-      "rows": 16,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012044-n000004-0000-fd3756ae3f0760ca.parquet",
-      "sha256": "fd3756ae3f0760ca372c3058a2fb007025ed65522741181b1eef6b721b8ed0d5",
-      "bytes": 44906,
-      "rows": 3,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12045",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012045.lean\",\"ae6fe2e8ce94656827e81dd588eec8aa802f8c65438be6697bd6462da0d7fe36\",0,\"lean_workbook_plus_40442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012046.lean\",\"09d934c3c828afe9790ba4c6beb0d9ee1202ae3ceedce322990cbe9ce1cd276f\",0,\"lean_workbook_plus_74729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012047.lean\",\"ea3dd7e37a3a228561b90f86fc7315571a175f4364a1904e21479acb3c2a4621\",0,\"lean_workbook_plus_33522\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165983,
+      "path": "data/train/p91/oproofs-s00002-r00012044-n000004-0000-26b25c88a446882e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "26b25c88a446882edf690849d2d21d284d238d81a7740973770bcec23cbe5a7f"
+    },
+    {
+      "bytes": 44906,
+      "path": "data/internal_test/p91/oproofs-s00002-r00012044-n000004-0000-fd3756ae3f0760ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fd3756ae3f0760ca372c3058a2fb007025ed65522741181b1eef6b721b8ed0d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012048-n000004.json b/manifests/batches/oproofs/s00002-r00012048-n000004.json
index bbbb97c854b2af9f615adbf0e5d539b678636b2e..ac0fe0789d65847fd836ba1329c5f9225a5c4a80 100644
--- a/manifests/batches/oproofs/s00002-r00012048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012048-n000004",
   "batch_fingerprint": "67acda2a5ab24ec699dd801e7ed818af771015082f65c2b275e80acc10b6376d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12048",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12049",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12050",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12051"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012048.lean\",\"0458f28c9abfff713f4c0cf1148261bfc3bd43fc82fdb89f2b3fbe777ed02a2f\",0,\"lean_workbook_plus_76394\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012049.lean\",\"aeb076af79d9a29e92c789787e62795f2e2db8953d3f15e3d004528ba141a23c\",0,\"lean_workbook_plus_54172\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012050.lean\",\"22ffa4f8db1dfab0b024fc4340d5790a7ececbb282c2432895695952934547d3\",0,\"lean_workbook_plus_10183\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012051.lean\",\"862122740a10977a422805898e0846d5f83450dedaccbfaf62d114ee20c3686c\",0,\"lean_workbook_plus_67001\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012048-n000004-0000-e0153608d78c3a20.parquet",
-      "sha256": "e0153608d78c3a2092718abe23824e4360c68a95113f627b3bcec26cefbd58eb",
       "bytes": 386048,
+      "path": "data/train/p43/oproofs-s00002-r00012048-n000004-0000-e0153608d78c3a20.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
+      "sha256": "e0153608d78c3a2092718abe23824e4360c68a95113f627b3bcec26cefbd58eb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012048-n000004-0000-f78a3d71025d8588.parquet",
-      "sha256": "f78a3d71025d8588b4e97d70837ddbb8c3ecae822d98b2a3cc6820d523bd0b1a",
       "bytes": 77335,
+      "path": "data/dev/p43/oproofs-s00002-r00012048-n000004-0000-f78a3d71025d8588.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
+      "sha256": "f78a3d71025d8588b4e97d70837ddbb8c3ecae822d98b2a3cc6820d523bd0b1a"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012048-n000004-0000-01b11e5a72fa7a76.parquet",
-      "sha256": "01b11e5a72fa7a762b990cfe4d80a6b3f9f96395e0813fe4ef698e3ca61ea54d",
       "bytes": 70537,
+      "path": "data/internal_test/p43/oproofs-s00002-r00012048-n000004-0000-01b11e5a72fa7a76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
+      "sha256": "01b11e5a72fa7a762b990cfe4d80a6b3f9f96395e0813fe4ef698e3ca61ea54d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12048",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12049",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12050",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12051"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012048.lean\",\"0458f28c9abfff713f4c0cf1148261bfc3bd43fc82fdb89f2b3fbe777ed02a2f\",0,\"lean_workbook_plus_76394\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012049.lean\",\"aeb076af79d9a29e92c789787e62795f2e2db8953d3f15e3d004528ba141a23c\",0,\"lean_workbook_plus_54172\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012050.lean\",\"22ffa4f8db1dfab0b024fc4340d5790a7ececbb282c2432895695952934547d3\",0,\"lean_workbook_plus_10183\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012051.lean\",\"862122740a10977a422805898e0846d5f83450dedaccbfaf62d114ee20c3686c\",0,\"lean_workbook_plus_67001\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012052-n000004.json b/manifests/batches/oproofs/s00002-r00012052-n000004.json
index 9afa448dd2972f416e2d02d268997a41a535a01b..84c70a103372d6be0316d83d1373356829e20114 100644
--- a/manifests/batches/oproofs/s00002-r00012052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012052-n000004",
   "batch_fingerprint": "abeaed35c99a34748bb0f8e4264e9c1878f8f255a2cc14697749e2f5aac2a5af",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012052-n000004-0000-9809ebb5445fa786.parquet",
-      "sha256": "9809ebb5445fa78604d5231438ab2e5a58b6f0eec5ca2f4eae0142b6d8de84e3",
-      "bytes": 598704,
-      "rows": 15,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012053.lean\",\"8c0d9eff9f659755afbaf99c9d3fda854474849a8052bc83da91bc0463b8c321\",0,\"lean_workbook_plus_13197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012054.lean\",\"bbc6d066d91add5e36905de99523ab42d3784f1d2e5c3c1c9eedb73dfc6a8235\",0,\"lean_workbook_plus_26615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012055.lean\",\"cc60b636fff57827d54c66b62cad00bd0626b95e576d9fc2533b66e287dba7e3\",0,\"lean_workbook_plus_61261\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 598704,
+      "path": "data/train/p08/oproofs-s00002-r00012052-n000004-0000-9809ebb5445fa786.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9809ebb5445fa78604d5231438ab2e5a58b6f0eec5ca2f4eae0142b6d8de84e3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012056-n000004.json b/manifests/batches/oproofs/s00002-r00012056-n000004.json
index e37982d8ac33cdb10e645ef6db1d4f6a6d90afe1..beb4fdb677a23bc14c77096ffb0e94873e9d42a8 100644
--- a/manifests/batches/oproofs/s00002-r00012056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012056-n000004",
   "batch_fingerprint": "7ab9fbb4a938d438bfe00df3aa4aed369a511862fc8d51c6740b81766c4809a4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012056-n000004-0000-b52eb291e020c405.parquet",
-      "sha256": "b52eb291e020c4052c4000887e48c3a15ef8d246fb5f8fedee012e324d677c57",
-      "bytes": 247833,
-      "rows": 17,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012057.lean\",\"09ef8f7cfc8f42603e0cc2fef09c6f2be44f4e0f91f36d2614ff1fbf2747db27\",0,\"lean_workbook_plus_61621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012058.lean\",\"a0d248041e7b89b5fd014dc961bc7c334cc933dd973ccd3ca6074c33e4d69c64\",0,\"lean_workbook_plus_79609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012059.lean\",\"0f01afa6b8145887f499960faab5c7dcd2c61ee8691f1eeb0bfe04fd0a25e4e3\",0,\"lean_workbook_plus_77440\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247833,
+      "path": "data/train/pa8/oproofs-s00002-r00012056-n000004-0000-b52eb291e020c405.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "b52eb291e020c4052c4000887e48c3a15ef8d246fb5f8fedee012e324d677c57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012060-n000004.json b/manifests/batches/oproofs/s00002-r00012060-n000004.json
index 442fb7e87910f3931dc9de750f9a72e2be1458dc..67b04bc5e0f971ab9b93c28dada61869c5a1d7bb 100644
--- a/manifests/batches/oproofs/s00002-r00012060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012060-n000004",
   "batch_fingerprint": "bc92c0b7a1bcfaf5d505956c5770ef62e616ab6ea6ddf3bf94c0b7e2bedb39a4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012060-n000004-0000-3afe578b94b5faeb.parquet",
-      "sha256": "3afe578b94b5faeb1a93e48f48651a658ec6444e86e9b0c6fc23c41d67fe5b93",
-      "bytes": 190671,
-      "rows": 17,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012060-n000004-0000-2612ec3cfd2adbba.parquet",
-      "sha256": "2612ec3cfd2adbba76fdb43cbf076dda8fc519d608bc05cb522c368a0bdcee77",
-      "bytes": 231833,
-      "rows": 2,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012061.lean\",\"2f17132b2c1c2e48e18677df8b12f9b09fbec34f48eedf39ddc2a6b5125b8324\",0,\"lean_workbook_17804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012062.lean\",\"c5d7edec4c4a181ab40578f1ce4e712016acbc0327306ffe40df6b23c97ddd1a\",0,\"lean_workbook_plus_48359\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012063.lean\",\"527780a6d2ed55aa3dada76682d67a8892f343d18f4d2e50bfa9b33d600dc34c\",0,\"lean_workbook_plus_21815\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190671,
+      "path": "data/train/p23/oproofs-s00002-r00012060-n000004-0000-3afe578b94b5faeb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3afe578b94b5faeb1a93e48f48651a658ec6444e86e9b0c6fc23c41d67fe5b93"
+    },
+    {
+      "bytes": 231833,
+      "path": "data/dev/p23/oproofs-s00002-r00012060-n000004-0000-2612ec3cfd2adbba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2612ec3cfd2adbba76fdb43cbf076dda8fc519d608bc05cb522c368a0bdcee77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012064-n000004.json b/manifests/batches/oproofs/s00002-r00012064-n000004.json
index 71b88f74b3641d984d0319369a3503c7dd9e9d2d..ec464436fbb51a723e3b7daa625ae528be85f79b 100644
--- a/manifests/batches/oproofs/s00002-r00012064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012064-n000004",
   "batch_fingerprint": "6e964c450e4f8ceebd2ccdba5f9cb1526273bf0c4c5f29dfcfcdf1b8c1cf8436",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012064-n000004-0000-73a1e3b0563ca4c4.parquet",
-      "sha256": "73a1e3b0563ca4c46dd2c697ee3cc158ea57a9b6ab4448ab87bc49a003c30d75",
-      "bytes": 997624,
-      "rows": 21,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012064-n000004-0001-51e785b88ed4c684.parquet",
-      "sha256": "51e785b88ed4c68467da926e69007837214755b9600ccb0a841f3fd5f5aa9501",
-      "bytes": 719503,
-      "rows": 6,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012065.lean\",\"eb7fbdd9f19bfe09e3f2372ccbb90699902a23c1b0a11216f78a038a8c1b198c\",0,\"lean_workbook_21331\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012066.lean\",\"e7f25779189337988fa9ce52989dc93651fb38269c271f584da3704c0628ca74\",0,\"lean_workbook_plus_31743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012067.lean\",\"3ce9e347ecb758d76610e42f22bd68a7ad6887b6c90a8ea795c6ecefc1d5517f\",0,\"lean_workbook_plus_57903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 997624,
+      "path": "data/train/pc7/oproofs-s00002-r00012064-n000004-0000-73a1e3b0563ca4c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "73a1e3b0563ca4c46dd2c697ee3cc158ea57a9b6ab4448ab87bc49a003c30d75"
+    },
+    {
+      "bytes": 719503,
+      "path": "data/train/pc7/oproofs-s00002-r00012064-n000004-0001-51e785b88ed4c684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "51e785b88ed4c68467da926e69007837214755b9600ccb0a841f3fd5f5aa9501"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012068-n000004.json b/manifests/batches/oproofs/s00002-r00012068-n000004.json
index 922f7f1cd2efb2bd67e5419cad26c9a9e0129751..2ec68955ad982d67196964639f2779955df55439 100644
--- a/manifests/batches/oproofs/s00002-r00012068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012068-n000004",
   "batch_fingerprint": "575c8f1ce680b814d690a105357693e28b8503248167a876c2a9f2b5226649d3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012068-n000004-0000-9dd4a3ea9cc32c34.parquet",
-      "sha256": "9dd4a3ea9cc32c3410b338c2eec5fbf5ea68f6a0c125e68aa0e4589c24961d88",
-      "bytes": 185995,
-      "rows": 15,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12069",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012069.lean\",\"13eb166ae2206bf0f8660e083cb57e449df52f56ac32769c3654ee8b9273b611\",0,\"lean_workbook_30278\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012070.lean\",\"c48b7c3e83192e6d474c345139e2e5db426d3a2d439c778289c050b446b84be7\",0,\"lean_workbook_plus_62744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012071.lean\",\"c06561b41879a5489ddf969f12f069a358ae207d4be22a67bbbc319935a98c12\",0,\"lean_workbook_plus_50979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185995,
+      "path": "data/train/p5a/oproofs-s00002-r00012068-n000004-0000-9dd4a3ea9cc32c34.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "9dd4a3ea9cc32c3410b338c2eec5fbf5ea68f6a0c125e68aa0e4589c24961d88"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012072-n000004.json b/manifests/batches/oproofs/s00002-r00012072-n000004.json
index b12727c6728194db48870f93910187ec43ac5465..f223c41c2fb84fde6b7e397b08f712444ab07d37 100644
--- a/manifests/batches/oproofs/s00002-r00012072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012072-n000004",
   "batch_fingerprint": "0d6b5d359a1ab59ea56957e42a75735a9ddad3439b00d430905f8228dc29f4b0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012072-n000004-0000-5c3920e8b77103a2.parquet",
-      "sha256": "5c3920e8b77103a2acb866c833effbce856b7cb817f74c0b598038ba71bc5ae8",
-      "bytes": 313559,
-      "rows": 15,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012073.lean\",\"900714c870106280d7037a239924f591607dceb498bb0e0a88338cf8fe23da4f\",0,\"lean_workbook_plus_55893\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012074.lean\",\"3ef3a06e61dcc0cf4b6b2e64746f984c15260bf9732b0d98a373cb2e8822f58b\",0,\"lean_workbook_plus_58422\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012075.lean\",\"81707d179d0dd3a4725fef927dcdb60c7eb4442de46806e961b2794e85e24ea7\",0,\"lean_workbook_plus_38892\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 313559,
+      "path": "data/train/p41/oproofs-s00002-r00012072-n000004-0000-5c3920e8b77103a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5c3920e8b77103a2acb866c833effbce856b7cb817f74c0b598038ba71bc5ae8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012076-n000004.json b/manifests/batches/oproofs/s00002-r00012076-n000004.json
index 07ef8a62fe7a75404b13bf60a70df525160d55e7..85285fb85041f02032dc6e4ca54af549f5ba3369 100644
--- a/manifests/batches/oproofs/s00002-r00012076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012076-n000004",
   "batch_fingerprint": "4a6356bacbd646ba7fcf339265f81a3b8c5dfc4b0d158ed96486857c626a4ea4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012076-n000004-0000-1c8cde4e83512062.parquet",
-      "sha256": "1c8cde4e83512062529c69ab55bd3bbc1c2014b5b3c211dc3cb03e0b55f579ec",
-      "bytes": 234969,
-      "rows": 13,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012076-n000004-0000-1a072aad0910e63e.parquet",
-      "sha256": "1a072aad0910e63ebbd830e3b1ca6abe977156ca55695aa6bc98599cb3f51334",
-      "bytes": 134823,
-      "rows": 9,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012077.lean\",\"f2a8ab1ae3b6667ef9cadf4d0dcc2204c8344225c18a8ed8c9a8f13da1f79be1\",0,\"lean_workbook_plus_78224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012078.lean\",\"67f03f78bc462d961ebe7c5e696f9b972ac239a3612e05cc04b804a319f015e7\",0,\"lean_workbook_plus_50254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012079.lean\",\"10806692239e814910252fa28dea30131eb316b837f7efaeca2d96313f861139\",0,\"lean_workbook_plus_47830\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234969,
+      "path": "data/train/p94/oproofs-s00002-r00012076-n000004-0000-1c8cde4e83512062.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1c8cde4e83512062529c69ab55bd3bbc1c2014b5b3c211dc3cb03e0b55f579ec"
+    },
+    {
+      "bytes": 134823,
+      "path": "data/dev/p94/oproofs-s00002-r00012076-n000004-0000-1a072aad0910e63e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "1a072aad0910e63ebbd830e3b1ca6abe977156ca55695aa6bc98599cb3f51334"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012080-n000004.json b/manifests/batches/oproofs/s00002-r00012080-n000004.json
index d8bf1a3bf607ad81e44f72086edabd7534ae0e93..1382466d468237f82f6318d2d628b0894f53d942 100644
--- a/manifests/batches/oproofs/s00002-r00012080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012080-n000004",
   "batch_fingerprint": "95320f1ff849cd695fc741a42cbae79f130aa945acfd91812ed85761b0190468",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012080-n000004-0000-97b070cbbc9216e1.parquet",
-      "sha256": "97b070cbbc9216e1372b6c87a2b3e615c502e31d770717bdda9e85b98affb466",
-      "bytes": 167300,
-      "rows": 20,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012080-n000004-0000-ebf28821fa57844a.parquet",
-      "sha256": "ebf28821fa57844a07b1f015abbad80a96a9277bcfbed48a79be999f22c63d26",
-      "bytes": 203952,
-      "rows": 8,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12081",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012081.lean\",\"7cadc8cd7bf8548fde9fa813029ade6bf371264cda593bce590e6e8427e8d7f1\",0,\"lean_workbook_plus_21496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012082.lean\",\"c68ddeabd061e8ec5108fb06723f7b82e638d242f903902df754767d8e117aeb\",0,\"lean_workbook_28427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012083.lean\",\"a215f1c91472741ad6ecfc4066ebf225722a528eb97f4195221f968bc1f0c51b\",0,\"lean_workbook_plus_63167\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167300,
+      "path": "data/train/p64/oproofs-s00002-r00012080-n000004-0000-97b070cbbc9216e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "97b070cbbc9216e1372b6c87a2b3e615c502e31d770717bdda9e85b98affb466"
+    },
+    {
+      "bytes": 203952,
+      "path": "data/internal_test/p64/oproofs-s00002-r00012080-n000004-0000-ebf28821fa57844a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "ebf28821fa57844a07b1f015abbad80a96a9277bcfbed48a79be999f22c63d26"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012084-n000004.json b/manifests/batches/oproofs/s00002-r00012084-n000004.json
index 3081edeed4def7ef56031fcf797d3fb7da6f06bb..5f566870cc73bf6ba2e2615a7d9997f83a9eac7a 100644
--- a/manifests/batches/oproofs/s00002-r00012084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012084-n000004",
   "batch_fingerprint": "263dbdd07ac7b823170d38149b02068bfc590b76ba565f481d28419843e7cee7",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012084-n000004-0000-3b3ec9698443c4a6.parquet",
-      "sha256": "3b3ec9698443c4a6485de670514d753fe7e0dde1fcf0be1fa4e896e7ec00e343",
-      "bytes": 120905,
-      "rows": 9,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12085",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012084.lean\",\"728694e668022c557d5a29252d61c18489e6b8999edf6a314694052b2760156b\",0,\"lean_workbook_plus_33192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012085.lean\",\"9dce3284eaafd63c176de9d8f1bfc6c0b61174bb52a3944c1902d901c786725e\",0,\"lean_workbook_plus_46481\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012086.lean\",\"99924bb332f4003b1dc864c8f6491bc24c909089714d4fefa6027b9cf1fea653\",0,\"lean_workbook_plus_81135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120905,
+      "path": "data/train/pee/oproofs-s00002-r00012084-n000004-0000-3b3ec9698443c4a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "3b3ec9698443c4a6485de670514d753fe7e0dde1fcf0be1fa4e896e7ec00e343"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012088-n000004.json b/manifests/batches/oproofs/s00002-r00012088-n000004.json
index 6d0539166ef16c68c4242e2b8aed74c6aeb74cf4..d88a4846fb1db007db27e03e14fe97698c455c8b 100644
--- a/manifests/batches/oproofs/s00002-r00012088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012088-n000004",
   "batch_fingerprint": "966953d2dfd3a2018e49d4ec8bd2124f69675399cc08cb6b87e1df9f6805fc24",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012088-n000004-0000-a99527b81713aee0.parquet",
-      "sha256": "a99527b81713aee000414d95e22a3cdf29c3d5832ac49eff639a2ee42dd82ce7",
-      "bytes": 128070,
-      "rows": 11,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012088-n000004-0000-cbfc5573bb9fd93e.parquet",
-      "sha256": "cbfc5573bb9fd93e12917fd2c20cbdb93be74872f18a07ba6f741417a614c68e",
-      "bytes": 35539,
-      "rows": 3,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012089.lean\",\"9cd332a508e4448f004ae0f2824b73ce59913676d10805fbefb4caaa23d055cb\",0,\"lean_workbook_plus_75447\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012090.lean\",\"890f58e5aae06325e7e8bf0587b04c9e365292d3b6b891508f7924f91f5115ef\",0,\"lean_workbook_plus_26453\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012091.lean\",\"7f1f6043391795229f3b2f5a867df2acb48647e48fe7a2af011289b126aca14a\",0,\"lean_workbook_plus_42566\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128070,
+      "path": "data/train/pe1/oproofs-s00002-r00012088-n000004-0000-a99527b81713aee0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a99527b81713aee000414d95e22a3cdf29c3d5832ac49eff639a2ee42dd82ce7"
+    },
+    {
+      "bytes": 35539,
+      "path": "data/internal_test/pe1/oproofs-s00002-r00012088-n000004-0000-cbfc5573bb9fd93e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cbfc5573bb9fd93e12917fd2c20cbdb93be74872f18a07ba6f741417a614c68e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012092-n000004.json b/manifests/batches/oproofs/s00002-r00012092-n000004.json
index ba138333f6d40919f3d3c6962b340314e32db1a2..cba08811d422df8df56d184d9d0dc751c901ddf5 100644
--- a/manifests/batches/oproofs/s00002-r00012092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012092-n000004",
   "batch_fingerprint": "857e15a566950fbd6e809c899965748ec24217416372d679f5568f8bccc65bdf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012092-n000004-0000-ea76643708de80a0.parquet",
-      "sha256": "ea76643708de80a037aec948414960508023f5329ab6eb558fd139b4081809fc",
-      "bytes": 365465,
-      "rows": 16,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12093",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012093.lean\",\"6cfaaa983e21165f132d5b9f6af44bb1c8752a1a509fde38fd8d26babf43c0e8\",0,\"lean_workbook_plus_67989\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012094.lean\",\"92306dd63bab180f769c13274add005a1b771ac95341d971bc20d70fbcc8e3d2\",0,\"lean_workbook_plus_76090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012095.lean\",\"66d81cecedc38c874ba5c4dcfc557138496ec33fd6a617e6245b2905cfff78bf\",0,\"lean_workbook_26268\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365465,
+      "path": "data/train/p18/oproofs-s00002-r00012092-n000004-0000-ea76643708de80a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "ea76643708de80a037aec948414960508023f5329ab6eb558fd139b4081809fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012096-n000004.json b/manifests/batches/oproofs/s00002-r00012096-n000004.json
index fd9118980be536c8bef2f5a6acc3999c5c7c24d3..a36806dc0e5eb21f848590a7dd21974ff1fd90bb 100644
--- a/manifests/batches/oproofs/s00002-r00012096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012096-n000004",
   "batch_fingerprint": "1df441629e91a5cc0f1bedcf6b08b4de9e327051aa1b99d8722df5be10127426",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012096-n000004-0000-cd3783288f1ebb86.parquet",
-      "sha256": "cd3783288f1ebb861b3f0c074b0c077cff9e5ac6b95b50fe042f03ed9b12ce40",
-      "bytes": 127152,
-      "rows": 16,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12097",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012097.lean\",\"bc6c1fec29dfcb6dbecdca4e8e8caa8cbd775879b6d7e2cee665187a00ac9764\",0,\"lean_workbook_plus_28858\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012098.lean\",\"f93c9c314010430d759c480847edc9b2e234b0d5483acd33cbc66ae130794392\",0,\"lean_workbook_plus_54429\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012099.lean\",\"f16b522c34234ccacb5b09570150afc22a909aaeed54d666cac7d4fb0ad1380e\",0,\"lean_workbook_plus_27288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 127152,
+      "path": "data/train/pe1/oproofs-s00002-r00012096-n000004-0000-cd3783288f1ebb86.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "cd3783288f1ebb861b3f0c074b0c077cff9e5ac6b95b50fe042f03ed9b12ce40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012100-n000004.json b/manifests/batches/oproofs/s00002-r00012100-n000004.json
index 1bbbb8b420de27204a841e63a0a3e6f3d30a2de0..d146d4c259ab90eaae516fb7c2f1f06efbf6e320 100644
--- a/manifests/batches/oproofs/s00002-r00012100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012100-n000004",
   "batch_fingerprint": "26f7b4b698cb2cd6da3def007dd4b180e53705c6e384fa2eef5a31f6f08cd662",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012100-n000004-0000-84e139215eb5ad12.parquet",
-      "sha256": "84e139215eb5ad12c8661e992a05da709216976169cf0bd55ac49f7de1d9feec",
-      "bytes": 167794,
-      "rows": 11,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012101.lean\",\"b105982e7d38ce595aebc67dd53c427291955647a3626825837b903c4437d569\",0,\"student_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012102.lean\",\"bde67aaccc412338e52187db92695794ce3e4865f0d543d85f7bcffd1ef22a73\",0,\"lean_workbook_plus_54393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012103.lean\",\"f483d3d47f58f2bbff2b9b954b906cf1cccc8dc4d6e84b9de8f55e6a2ad42b12\",0,\"school_late_time\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167794,
+      "path": "data/train/pa6/oproofs-s00002-r00012100-n000004-0000-84e139215eb5ad12.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "84e139215eb5ad12c8661e992a05da709216976169cf0bd55ac49f7de1d9feec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012104-n000004.json b/manifests/batches/oproofs/s00002-r00012104-n000004.json
index b137a56d7b39abee9dbd5c2a34b696628369d754..4dd65dac57d2ef260694ed885a504d2f7067b383 100644
--- a/manifests/batches/oproofs/s00002-r00012104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012104-n000004",
   "batch_fingerprint": "80899490b031284d5fd7bb98c181c35fb88c79417716f305a936133c995f2a0b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012104-n000004-0000-41aedc91cfe44c0c.parquet",
-      "sha256": "41aedc91cfe44c0c788c97ccb8ff175431894f16e542feb9bf42936346322b66",
-      "bytes": 278444,
-      "rows": 7,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012104-n000004-0000-a188d1872144abaf.parquet",
-      "sha256": "a188d1872144abaf701db35e4aa55fa09e6e96a894c530a83b51ec385aff6172",
-      "bytes": 169310,
-      "rows": 10,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12105",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012105.lean\",\"c73eb5eedc54d96eed4587a4da2a32aecdd1b341ea5ecd25761d922fc475e4e2\",0,\"lean_workbook_plus_14967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012106.lean\",\"a5d63b1faced7223c75aaab943ecea0bc36c1fcbe697aae1b32421c6924f9cfe\",0,\"lean_workbook_plus_72139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012107.lean\",\"5e72ad24f7262fbed16b5c3a206cdf9828a17b9b34064ce76cf0b2345de2e572\",0,\"lean_workbook_plus_76869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 278444,
+      "path": "data/train/pb8/oproofs-s00002-r00012104-n000004-0000-41aedc91cfe44c0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "41aedc91cfe44c0c788c97ccb8ff175431894f16e542feb9bf42936346322b66"
+    },
+    {
+      "bytes": 169310,
+      "path": "data/internal_test/pb8/oproofs-s00002-r00012104-n000004-0000-a188d1872144abaf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a188d1872144abaf701db35e4aa55fa09e6e96a894c530a83b51ec385aff6172"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012108-n000004.json b/manifests/batches/oproofs/s00002-r00012108-n000004.json
index 29515e67b3f66d280db46393b4943c9bed789f6c..3a685e140557f9e25f9646d2eccab30931528b41 100644
--- a/manifests/batches/oproofs/s00002-r00012108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012108-n000004",
   "batch_fingerprint": "703059dbc9fbc3e6e1dac8cfcdac54c3e4755e780a23b4de84f5a1316d19e686",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012108-n000004-0000-2744ea54f65a3249.parquet",
-      "sha256": "2744ea54f65a324914949fce78244f1e0b265e12c38d443927a43e999e50fbaf",
-      "bytes": 344587,
-      "rows": 23,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012108-n000004-0000-fa75082e81881db7.parquet",
-      "sha256": "fa75082e81881db7082ee8f131d67c61af42a59cf1c0dc1d68c566984dbeaccd",
-      "bytes": 111869,
-      "rows": 6,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12109",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012109.lean\",\"e514c0c9a49a046cd289c7fe3f1a2bf2085722ea49b68f6f6b3420f09eaa2356\",0,\"intersection_line_slope\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012110.lean\",\"b19d5d3394a59722f95ce91152e4699e820315b5730789ca06b2fa2635f5c3dd\",0,\"lean_workbook_plus_44479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012111.lean\",\"b91cc9efa2dac4bf49048160a807594cb811c28405ea8ce9e9587fd94c54889b\",0,\"lean_workbook_plus_69292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 344587,
+      "path": "data/train/p38/oproofs-s00002-r00012108-n000004-0000-2744ea54f65a3249.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "2744ea54f65a324914949fce78244f1e0b265e12c38d443927a43e999e50fbaf"
+    },
+    {
+      "bytes": 111869,
+      "path": "data/dev/p38/oproofs-s00002-r00012108-n000004-0000-fa75082e81881db7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "fa75082e81881db7082ee8f131d67c61af42a59cf1c0dc1d68c566984dbeaccd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012112-n000004.json b/manifests/batches/oproofs/s00002-r00012112-n000004.json
index 67717cb4242ba689cf62cc6a96139cf2c00ddfc6..0e81d5453fe24730498e1582ede627503cff2149 100644
--- a/manifests/batches/oproofs/s00002-r00012112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012112-n000004",
   "batch_fingerprint": "27e21e52d177d06e8b152f937ebf7e05ba77a176c0ab0665b5f99b5e15a2ccf4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012112-n000004-0000-7c87dc3bfce906dc.parquet",
-      "sha256": "7c87dc3bfce906dcc6ed99a98a3f8fdd8ab0c8f8c7d6eedd54aa06d76af16237",
-      "bytes": 529561,
-      "rows": 25,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12113",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012113.lean\",\"9d55eb21365f86687f0aaf136ee0ad75fda9d5eb46da435d2e243c129c094383\",0,\"lean_workbook_plus_27117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012114.lean\",\"54e57fd6140a332b71fd5b61ad442f561ea906bb40b122d85bc72d6c77d42b91\",0,\"lean_workbook_44227\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012115.lean\",\"b2fc288ea791bd65c2af0b8dc683a71fc3bf8df7d3ce951958e4decbed419c78\",0,\"lean_workbook_13970\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 529561,
+      "path": "data/train/p7b/oproofs-s00002-r00012112-n000004-0000-7c87dc3bfce906dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "7c87dc3bfce906dcc6ed99a98a3f8fdd8ab0c8f8c7d6eedd54aa06d76af16237"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012116-n000004.json b/manifests/batches/oproofs/s00002-r00012116-n000004.json
index e6e166d486578742533362a0976064b99448e42e..2fc311f9d56833b997929a967e9fdee839cb8bad 100644
--- a/manifests/batches/oproofs/s00002-r00012116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012116-n000004",
   "batch_fingerprint": "cdff2538bb84145dc8b19dfa6d1de7d74226a48d92d64345eeb17f522e73f1a2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012116-n000004-0000-369d4142b3365ecb.parquet",
-      "sha256": "369d4142b3365ecbb904af8933ae5b1eaa9fa7ec27147a9de3ddcb3774dd4da5",
-      "bytes": 371153,
-      "rows": 7,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012116-n000004-0000-f1f025f62848ea31.parquet",
-      "sha256": "f1f025f62848ea3105386fcf94a0ab177c04d2414a70809f984c4e74a0b33cea",
-      "bytes": 140772,
-      "rows": 10,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012117.lean\",\"f594455c429b7f9a33061d4276aa00c8e389f1e450f26803733914682cd4f709\",0,\"lean_workbook_plus_74729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012118.lean\",\"360147ae00b20eb97363efb9549c796df8b1da6dc9a093c79d54ef872ec551da\",0,\"lean_workbook_plus_40442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012119.lean\",\"fb7c1a8b5730e11bb781b9f1eb04f3d2c5fec9399bac2fa7bc12b12335649eeb\",0,\"lean_workbook_38034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371153,
+      "path": "data/train/pa0/oproofs-s00002-r00012116-n000004-0000-369d4142b3365ecb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "369d4142b3365ecbb904af8933ae5b1eaa9fa7ec27147a9de3ddcb3774dd4da5"
+    },
+    {
+      "bytes": 140772,
+      "path": "data/internal_test/pa0/oproofs-s00002-r00012116-n000004-0000-f1f025f62848ea31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f1f025f62848ea3105386fcf94a0ab177c04d2414a70809f984c4e74a0b33cea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012120-n000004.json b/manifests/batches/oproofs/s00002-r00012120-n000004.json
index 9845084e0e63f8c0f6f6acf719c8b1352b308ea8..9ebcc2139c5f4778881fce08f4961593a473f590 100644
--- a/manifests/batches/oproofs/s00002-r00012120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012120-n000004",
   "batch_fingerprint": "0817f28986616d42b4c6852703b39c8fda0dc8066f373bbeb2ad1b99ae52ad31",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012120-n000004-0000-9594d2ae421a99fe.parquet",
-      "sha256": "9594d2ae421a99fe2adbd29884df50fcc8334e1d806066936f18638b8694916e",
-      "bytes": 212292,
-      "rows": 17,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012120-n000004-0000-5029dceed6e4f82b.parquet",
-      "sha256": "5029dceed6e4f82b3b4552664f43e57e5a99da1a390e79d3b104c8d989a2d87c",
-      "bytes": 73082,
-      "rows": 3,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012121.lean\",\"0631acf6c2c8de0934899830b3ef10f8cb077dff6d3056946b9de1bae1130f81\",0,\"lean_workbook_plus_33522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012122.lean\",\"d25d98dc5fdce9af5c9f19f6faea570484577d5e0d03302e1e5859e369fe33de\",0,\"lean_workbook_plus_67001\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012123.lean\",\"1105005e98437520b63485820608d3aef9714fb9468c77035cb175d3c606830e\",0,\"lean_workbook_plus_10183\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 212292,
+      "path": "data/train/pc9/oproofs-s00002-r00012120-n000004-0000-9594d2ae421a99fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9594d2ae421a99fe2adbd29884df50fcc8334e1d806066936f18638b8694916e"
+    },
+    {
+      "bytes": 73082,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00012120-n000004-0000-5029dceed6e4f82b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "5029dceed6e4f82b3b4552664f43e57e5a99da1a390e79d3b104c8d989a2d87c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012124-n000004.json b/manifests/batches/oproofs/s00002-r00012124-n000004.json
index 4c7556c7980b1f8293c279fb06801309a091511b..2d1c883c87c6a07645a91aa593260b42f0c2f3f5 100644
--- a/manifests/batches/oproofs/s00002-r00012124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012124-n000004",
   "batch_fingerprint": "b802647b2e1e50e7110f20a967e892643deac2f28efd463f63737262d7c8e1c6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012124-n000004-0000-cd994f5c12009d0f.parquet",
-      "sha256": "cd994f5c12009d0f704a47760302609428e74923836d7d09b8c7cbb863411bbf",
-      "bytes": 488474,
-      "rows": 20,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012124-n000004-0000-956b638d171a38e7.parquet",
-      "sha256": "956b638d171a38e7098447d4e1f109633e84a2fc895cf5a7bfdfd5f966d09e27",
-      "bytes": 263944,
-      "rows": 4,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012125.lean\",\"0cf8149d1abdf926b7d5313e2411286dc6330aaa9183fc305e72c2c33f3c5cc9\",0,\"lean_workbook_plus_13197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012126.lean\",\"74df1d5831fa8741ba55dbece4a4358e2e445457dd9f1e3d286f2763eb72c197\",0,\"lean_workbook_plus_76394\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012127.lean\",\"e986358bed43f0cac03a4b7d273595ea8d2c63c441e7862e894b7e11f5781607\",0,\"lean_workbook_plus_70070\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488474,
+      "path": "data/train/pba/oproofs-s00002-r00012124-n000004-0000-cd994f5c12009d0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "cd994f5c12009d0f704a47760302609428e74923836d7d09b8c7cbb863411bbf"
+    },
+    {
+      "bytes": 263944,
+      "path": "data/dev/pba/oproofs-s00002-r00012124-n000004-0000-956b638d171a38e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "956b638d171a38e7098447d4e1f109633e84a2fc895cf5a7bfdfd5f966d09e27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012128-n000004.json b/manifests/batches/oproofs/s00002-r00012128-n000004.json
index faf2149a3f06c56d3be6ee1944112c2adfcf9218..d1565e77570077868aadcfe47d82ed4720f6a1a7 100644
--- a/manifests/batches/oproofs/s00002-r00012128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012128-n000004",
   "batch_fingerprint": "cff461718e30ec0bef3f2fdafdaca3c6c4e619183c189173438891f3accaf801",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012128-n000004-0000-04c310d1e9e905e8.parquet",
-      "sha256": "04c310d1e9e905e8775fa35503627e992c1f52181dddda46776a25585c95600d",
-      "bytes": 580543,
-      "rows": 18,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012128-n000004-0000-06b5e42d852c3a7a.parquet",
-      "sha256": "06b5e42d852c3a7a226ad8cc63a0a92a49efaa1bc5d572d3e44370523a5feccd",
-      "bytes": 70531,
-      "rows": 3,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012129.lean\",\"5fb74a12fdb6f32a45d123adeac613e2fe18199d6fb828ffa25552910609d38c\",0,\"lean_workbook_plus_26615\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012130.lean\",\"822b1c38cac2ba802635f5f69bc8c651df6234bc8860710d001d9a10816a427a\",0,\"lean_workbook_10841\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012131.lean\",\"bdca0ecbfcfa79e7108c0b84dc655cb5dc006c8911317c88be25491b89536e0f\",0,\"lean_workbook_48890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 580543,
+      "path": "data/train/p86/oproofs-s00002-r00012128-n000004-0000-04c310d1e9e905e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "04c310d1e9e905e8775fa35503627e992c1f52181dddda46776a25585c95600d"
+    },
+    {
+      "bytes": 70531,
+      "path": "data/dev/p86/oproofs-s00002-r00012128-n000004-0000-06b5e42d852c3a7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "06b5e42d852c3a7a226ad8cc63a0a92a49efaa1bc5d572d3e44370523a5feccd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012132-n000004.json b/manifests/batches/oproofs/s00002-r00012132-n000004.json
index 1e3eaa586a4698c40a798182ddf8221b487e9d36..9e7ee590f5d6e65c6434bcc815c6a240cfdbe4d4 100644
--- a/manifests/batches/oproofs/s00002-r00012132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012132-n000004",
   "batch_fingerprint": "e2f2b9158af69fb599b24fd245d003c19bf5c68550d5ab304a8b63a93ad6097c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012132-n000004-0000-8fe45b7a76ee3692.parquet",
-      "sha256": "8fe45b7a76ee3692e5c9993595199f9e035739cee37eb40386a5a5781dee0e11",
-      "bytes": 371408,
-      "rows": 17,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12133",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012133.lean\",\"2b14713d067a277b2a82b2aa80bbec9ab31880ed74ff887da44f2baa71818718\",0,\"lean_workbook_plus_54529\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012134.lean\",\"7bc9dec22dfcb79d111ddca012d04085dd142dcb79688152bd9fb2ca773dfd3e\",0,\"lean_workbook_plus_79609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012135.lean\",\"cac57fba94c1392489530bf8f13f52cb591069478d1cfa14a7640f4f8593f1bc\",0,\"lean_workbook_plus_61621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371408,
+      "path": "data/train/p93/oproofs-s00002-r00012132-n000004-0000-8fe45b7a76ee3692.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8fe45b7a76ee3692e5c9993595199f9e035739cee37eb40386a5a5781dee0e11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012136-n000004.json b/manifests/batches/oproofs/s00002-r00012136-n000004.json
index c9157c5d636c10176560cad8f32faa7620120114..df769281c86c62618784a382093174fcd8818c1d 100644
--- a/manifests/batches/oproofs/s00002-r00012136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012136-n000004",
   "batch_fingerprint": "08be9ec13aa993fbbe3868c4c502676b8e2e90255974431db0437c833b3f89cf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012136-n000004-0000-81511649da33ffd8.parquet",
-      "sha256": "81511649da33ffd8a9ea864273ef4fcac9669f56c47394360742e70df3876137",
-      "bytes": 173990,
-      "rows": 23,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12137",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012137.lean\",\"6dc133957fea0f321be3f30c60563083c9d1311a9f3fe6cf87db35c1e8bd0432\",0,\"lean_workbook_plus_77440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012138.lean\",\"46444f50de84003e8c35d58e36448f1601782b09a56849e195a692213bff4d1f\",0,\"lean_workbook_plus_48359\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012139.lean\",\"a22a55c38a55e44822e3db133f5385f0538ea08917780a6140ceb6558150dc14\",0,\"lean_workbook_21331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 173990,
+      "path": "data/train/pfd/oproofs-s00002-r00012136-n000004-0000-81511649da33ffd8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "81511649da33ffd8a9ea864273ef4fcac9669f56c47394360742e70df3876137"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012140-n000004.json b/manifests/batches/oproofs/s00002-r00012140-n000004.json
index 56acb6d05b80e76635064c1ad98f1c00fa5ca855..c4cbc44c49fb69010e68bcfbe6bc370a950854c2 100644
--- a/manifests/batches/oproofs/s00002-r00012140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012140-n000004",
   "batch_fingerprint": "71109686178079d0e4b50c12e6bfb863f557614cc0bda5f6d305303aa0d2543e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012140-n000004-0000-02afdb2d5514c3d9.parquet",
-      "sha256": "02afdb2d5514c3d95deb2786e8c2fa6e05f3cb60810e771be9370138e93f0433",
-      "bytes": 444654,
-      "rows": 18,
-      "revision": "5973c1bc856093c3ed7452bc74d58b0979672ff3"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012141.lean\",\"d5237892ec2ed78d139413643234e219a552baa7670a3b921b1af7a0255e9d7f\",0,\"lean_workbook_plus_31743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012142.lean\",\"d1b19c7258a1c024ba2144c2c41d16d2ed5df0643fca78539e328b9972715428\",0,\"lean_workbook_plus_62744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012143.lean\",\"9815e64ff3c7ef55941d932be5ab9dece34a6f6e1490c56e3a402e6291fdb599\",0,\"lean_workbook_plus_50979\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 444654,
+      "path": "data/train/p89/oproofs-s00002-r00012140-n000004-0000-02afdb2d5514c3d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "02afdb2d5514c3d95deb2786e8c2fa6e05f3cb60810e771be9370138e93f0433"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012144-n000004.json b/manifests/batches/oproofs/s00002-r00012144-n000004.json
index e275bcf1b76e9274142061257c0e264ce1ea7efa..8d091fcb8483875f133102df06b6ce0a3b357038 100644
--- a/manifests/batches/oproofs/s00002-r00012144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012144-n000004",
   "batch_fingerprint": "d11a1dddb862445be6c07fca6f1116c9fdd2bd74b56d633708ce41b7a5628f9f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012144-n000004-0000-0550c94ad231a7be.parquet",
-      "sha256": "0550c94ad231a7bee9e6e5dab8038b26457d189dad55b18f12f4f89f2f014cd8",
-      "bytes": 238634,
-      "rows": 17,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012145.lean\",\"4400d6ffce76f06e005e70c5b319a71d212ef090a425f4a65dd7978cf8bcd475\",0,\"lean_workbook_plus_33924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012146.lean\",\"d16563097eef3e511f6346a5da5a459686facad55cfceee8c82b095263422730\",0,\"lean_workbook_plus_38571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012147.lean\",\"df44432629bfa6fa13647593424e7da9293dc0de5983e7744077e75c8ebc8320\",0,\"lean_workbook_plus_55893\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238634,
+      "path": "data/train/pcf/oproofs-s00002-r00012144-n000004-0000-0550c94ad231a7be.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "0550c94ad231a7bee9e6e5dab8038b26457d189dad55b18f12f4f89f2f014cd8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012148-n000004.json b/manifests/batches/oproofs/s00002-r00012148-n000004.json
index b6dd51a26b62c9a042e8e629a4a08bbad92fee05..bb97f1be5a5c4251d63ae9e72998de09f0e545e7 100644
--- a/manifests/batches/oproofs/s00002-r00012148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012148-n000004",
   "batch_fingerprint": "ebc8d4f7aea3457bb59e592219866afeff9f6bab20913f5b665df1dbbe7d9a8f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012148-n000004-0000-4dc2db3411ab80a2.parquet",
-      "sha256": "4dc2db3411ab80a2f2e05ccc924dfaa67e35976da7ac28a84e53fed0dc65b0d4",
-      "bytes": 178755,
-      "rows": 18,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012148-n000004-0000-60015498ef35da3a.parquet",
-      "sha256": "60015498ef35da3a2e5c5a7fd1353a98d3a1887495d46db72a2d02395bc26391",
-      "bytes": 120032,
-      "rows": 8,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012149.lean\",\"0b9fd829cf15f201ec8e9f07447a3571a089b1e879d51c13c2dc5c616d3878fe\",0,\"lean_workbook_plus_74902\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012150.lean\",\"476181513cd83d4b1d4156126460c6b4d70b7d48d2e08fc49b7a94e0b383785d\",0,\"lean_workbook_plus_5663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012151.lean\",\"95f57b6ac1eff4ef135038057422dc5da01ab420da999ade699b4ab2ac1a37d9\",0,\"lean_workbook_plus_58422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 178755,
+      "path": "data/train/p2a/oproofs-s00002-r00012148-n000004-0000-4dc2db3411ab80a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4dc2db3411ab80a2f2e05ccc924dfaa67e35976da7ac28a84e53fed0dc65b0d4"
+    },
+    {
+      "bytes": 120032,
+      "path": "data/dev/p2a/oproofs-s00002-r00012148-n000004-0000-60015498ef35da3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "60015498ef35da3a2e5c5a7fd1353a98d3a1887495d46db72a2d02395bc26391"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012152-n000004.json b/manifests/batches/oproofs/s00002-r00012152-n000004.json
index b853eeb7bd6d6f1397d06715dd9e8503cc8a7d25..6aedf650d2e72a1efb4cb6ca425792c72936fd69 100644
--- a/manifests/batches/oproofs/s00002-r00012152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012152-n000004",
   "batch_fingerprint": "8b8d8ad88c64cf9c71af42fd29a25aae0757dc7ae2d31c7bf9c79237d42b9042",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012152-n000004-0000-86a35ea03969de6b.parquet",
-      "sha256": "86a35ea03969de6b68eda7d9f5d4b6dd38eb5ae87f942edd47485b8de92fa407",
-      "bytes": 334224,
-      "rows": 29,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012153.lean\",\"ee7e7032bc281a07a423c367c142bc69eb780648acb0ca0f34d80c1ecffa2917\",0,\"lean_workbook_53322\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012154.lean\",\"a2cfb5779b77fcada739699084b03b49c6f3c98e8b3dd38f39d4144b1f379d82\",0,\"lean_workbook_plus_47830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012155.lean\",\"5748bc182df7d24553cb321b0d8f024ca6780348a486433efb2b7241178906cb\",0,\"lean_workbook_plus_68646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 334224,
+      "path": "data/train/pf6/oproofs-s00002-r00012152-n000004-0000-86a35ea03969de6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "86a35ea03969de6b68eda7d9f5d4b6dd38eb5ae87f942edd47485b8de92fa407"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012156-n000004.json b/manifests/batches/oproofs/s00002-r00012156-n000004.json
index cb57e4e6360c664d09e87285c1583a82d6d26593..591be96cd7803c3c732788528558eac1e2df037b 100644
--- a/manifests/batches/oproofs/s00002-r00012156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012156-n000004",
   "batch_fingerprint": "dfc24e03291da166073a003ee589fe6ba5053b788317fdda3e4cbc013af3813a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012156-n000004-0000-1bb6c67541dbc99e.parquet",
-      "sha256": "1bb6c67541dbc99ee32755403d39d1a12555940d790b67e06b39ff001193ed94",
-      "bytes": 225572,
-      "rows": 12,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012156-n000004-0000-13cb852dd7ce8e57.parquet",
-      "sha256": "13cb852dd7ce8e578b7233afcf858315c950665ab0d18be6d59197e68ad3a565",
-      "bytes": 134239,
-      "rows": 3,
-      "revision": "27986785b285c832ffe7497070215754d9a286dd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012157.lean\",\"931a8f3969dfd282950e713df65d5a940d85e1ea2dc9348a9598347319fe9945\",0,\"lean_workbook_plus_10523\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012158.lean\",\"7f9759be01b18fa0957ba9d6a0f0219c41c378169172ba8a6465e0da5548575d\",0,\"lean_workbook_37371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012159.lean\",\"6bc022c01e260c523d5c4820255d709fb94c203f34648f06b215518528d2cda1\",0,\"lean_workbook_28427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 225572,
+      "path": "data/train/pf0/oproofs-s00002-r00012156-n000004-0000-1bb6c67541dbc99e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "1bb6c67541dbc99ee32755403d39d1a12555940d790b67e06b39ff001193ed94"
+    },
+    {
+      "bytes": 134239,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00012156-n000004-0000-13cb852dd7ce8e57.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "13cb852dd7ce8e578b7233afcf858315c950665ab0d18be6d59197e68ad3a565"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012160-n000004.json b/manifests/batches/oproofs/s00002-r00012160-n000004.json
index a53f850af3f32a01818defd52e347f83b8067cb4..64febb460dd69a661e3385ab6ddc1acee5f48db4 100644
--- a/manifests/batches/oproofs/s00002-r00012160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012160-n000004",
   "batch_fingerprint": "8ef7d43ac6292105b1aab37048dd03dd13ee980fec7e0aa1433a330bca5aba2e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012160-n000004-0000-4a052c9ec336ee45.parquet",
-      "sha256": "4a052c9ec336ee45e4a758784070fa7fbdec2b161368472b2f0267cc2dd36c3a",
-      "bytes": 235073,
-      "rows": 8,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012160-n000004-0000-f682632e56c2a574.parquet",
-      "sha256": "f682632e56c2a5745710379607f94d3c39e4bd8e85655189cd821840d52a43ce",
-      "bytes": 35271,
-      "rows": 3,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12161",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012161.lean\",\"89b1a775474d618e54fe3a6cccdf1c9ba6498968ec83a557c0cc3ac6fd475e01\",0,\"lean_workbook_plus_50254\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012162.lean\",\"58a73829f2391b0aedfeceacfe96f8fefc4a3fe6801cec9560c7dc8c1bbb1e24\",0,\"lean_workbook_plus_46481\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012163.lean\",\"847db7daabd69afbc247f99e14e04751cf9464aa436d8fef31f824c9330dca7d\",0,\"lean_workbook_plus_26453\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235073,
+      "path": "data/train/p80/oproofs-s00002-r00012160-n000004-0000-4a052c9ec336ee45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4a052c9ec336ee45e4a758784070fa7fbdec2b161368472b2f0267cc2dd36c3a"
+    },
+    {
+      "bytes": 35271,
+      "path": "data/internal_test/p80/oproofs-s00002-r00012160-n000004-0000-f682632e56c2a574.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f682632e56c2a5745710379607f94d3c39e4bd8e85655189cd821840d52a43ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012164-n000004.json b/manifests/batches/oproofs/s00002-r00012164-n000004.json
index 4e6c403dae9b639f07b9535a0b0be0db4e77c6e6..9458ddb5ef609347f67620febfc711483056b8ec 100644
--- a/manifests/batches/oproofs/s00002-r00012164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012164-n000004",
   "batch_fingerprint": "4aafe640521421d4c31236e70a22be4a5ac88c7bf192b9ff72ffdc12747e53c5",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012164-n000004-0000-33257c19af2d7e7e.parquet",
-      "sha256": "33257c19af2d7e7eced7b3f2150b2cf39a04ae05e466d70ff9c6a4329c8a562c",
-      "bytes": 194431,
-      "rows": 9,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12164",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12165",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012164.lean\",\"72cadba008e0c8754047ca3d7f0d49f2cc8e33b9709e27c179f47979a64d1f14\",0,\"lean_workbook_plus_42566\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012165.lean\",\"9c4a742f14880fcb3da3da44f03133bb1ba79f99d40e55059f49d0daa1beaad7\",0,\"lean_workbook_plus_45581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012166.lean\",\"a05dd40cc5ae0b54f95e62a2790446c973e3aa9e7abcf265193819bc0216ee1d\",0,\"lean_workbook_plus_67989\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 194431,
+      "path": "data/train/p3a/oproofs-s00002-r00012164-n000004-0000-33257c19af2d7e7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "33257c19af2d7e7eced7b3f2150b2cf39a04ae05e466d70ff9c6a4329c8a562c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012168-n000004.json b/manifests/batches/oproofs/s00002-r00012168-n000004.json
index c9a80f177ea68a5a3b48774123f968707623d496..918876c72873207b48621acdf2e6e71c73e3354b 100644
--- a/manifests/batches/oproofs/s00002-r00012168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012168-n000004",
   "batch_fingerprint": "decbb005c677c032079abd5c7c918b8ebb4fa826d6cb688a4c2948dd30e36bb0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012168-n000004-0000-12b8d7b73f1f9e75.parquet",
-      "sha256": "12b8d7b73f1f9e751e4e6c300eb19543926334328f3cb6511522144b0f8c9633",
-      "bytes": 174557,
-      "rows": 16,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012169.lean\",\"9578fa147f596f09cb96500156b8ce45ed1644f9f911e4fa7853008ad89275ab\",0,\"lean_workbook_26268\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012170.lean\",\"fa8660216166a34b91b6795182bdcc559158794b0e7d0f0553727b96dcac73fa\",0,\"lean_workbook_plus_54429\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012171.lean\",\"517f2607783d4cbf78665c0e3a6bf49585c244e01760ea57c0037d33dec16f93\",0,\"lean_workbook_plus_27288\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174557,
+      "path": "data/train/p38/oproofs-s00002-r00012168-n000004-0000-12b8d7b73f1f9e75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "12b8d7b73f1f9e751e4e6c300eb19543926334328f3cb6511522144b0f8c9633"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012172-n000004.json b/manifests/batches/oproofs/s00002-r00012172-n000004.json
index 49ea687751a8dc73a2afb2e986d3afcfe8b970f6..547845f62f362273e349a1805a393cfe90d3a1c9 100644
--- a/manifests/batches/oproofs/s00002-r00012172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012172-n000004",
   "batch_fingerprint": "f65c724e014f592c853d8bfd11a910eac46c03d1d29c76aa0ea581d40478a676",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012172-n000004-0000-3b4958bf1674b039.parquet",
-      "sha256": "3b4958bf1674b0391be6e0f799db63750fe999a2eaabeb6c3d948de66049e332",
-      "bytes": 253927,
-      "rows": 16,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12173",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012173.lean\",\"c4d69829584ac2902060c29dc6f9f4453d03a4e894cf33a19e7fc825282f0e4e\",0,\"student_selection_count\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012174.lean\",\"60d347814fce89c80328c42f1cac4c1d37e9090016f3006212844a5012a344fd\",0,\"f_geq_ag_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012175.lean\",\"6969bca77ec7aa42e222ff16c5f8d055cd0ef81300dda3aaf8e1894a1a0b7e1a\",0,\"lean_workbook_plus_54393\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253927,
+      "path": "data/train/pe3/oproofs-s00002-r00012172-n000004-0000-3b4958bf1674b039.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3b4958bf1674b0391be6e0f799db63750fe999a2eaabeb6c3d948de66049e332"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012176-n000004.json b/manifests/batches/oproofs/s00002-r00012176-n000004.json
index f6c7b0b9ecb72451048b3f1afb5ba041413b3e7d..0046e74e2d298e33f5526bf6c1c119d61ccfd6db 100644
--- a/manifests/batches/oproofs/s00002-r00012176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012176-n000004",
   "batch_fingerprint": "7957061aa66e3c6293317d005f61c32c26dc0bcd8de3a0409a6a2d07dafdf747",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012176-n000004-0000-12d56ab627ee4400.parquet",
-      "sha256": "12d56ab627ee4400518f4dd364c3ada55198eabc4d007610b67acec00c26a5f5",
-      "bytes": 193556,
-      "rows": 9,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012176-n000004-0000-7da1fc6ce3982e2a.parquet",
-      "sha256": "7da1fc6ce3982e2ab7ac76b6bdc474dea254b2d5e9d49c99ebb9d8bf15b0b669",
-      "bytes": 181656,
-      "rows": 14,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12176",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12177",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012177.lean\",\"fe34eb153901cae8e74a3914e14b1d48d70532ffe190e71c6b176445959cb86b\",0,\"lean_workbook_36248\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012178.lean\",\"5230d5a8f9ec967a6c701ae1a25205dd4a21a3cb86ff46d8147651cdd3e62882\",0,\"lean_workbook_38296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012179.lean\",\"3ad9264d2aebe47b7f17a2da9916a441102e07cfbcc32b161c81f5fc0f9d6fbc\",0,\"lean_workbook_plus_14967\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193556,
+      "path": "data/train/p40/oproofs-s00002-r00012176-n000004-0000-12d56ab627ee4400.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "12d56ab627ee4400518f4dd364c3ada55198eabc4d007610b67acec00c26a5f5"
+    },
+    {
+      "bytes": 181656,
+      "path": "data/internal_test/p40/oproofs-s00002-r00012176-n000004-0000-7da1fc6ce3982e2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7da1fc6ce3982e2ab7ac76b6bdc474dea254b2d5e9d49c99ebb9d8bf15b0b669"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012180-n000004.json b/manifests/batches/oproofs/s00002-r00012180-n000004.json
index 091870d48480765cd7f624912caeeb23ee20a8e3..964850139363e446c3718a91687e6a0bed956b9d 100644
--- a/manifests/batches/oproofs/s00002-r00012180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012180-n000004",
   "batch_fingerprint": "da083682a6ab61366b95dccc80b5dc72a11bc21b6653527984ac2c757449a4a2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012180-n000004-0000-5a4d55a69a37b023.parquet",
-      "sha256": "5a4d55a69a37b023be42f3fe8aac13327174d11fefab95687ebd075d012c7c5c",
-      "bytes": 240324,
-      "rows": 29,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12181",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012181.lean\",\"8a5a1d57deac42a0496330e511c9b53f0e0bd6706670072657c2fe78b80f3807\",0,\"lean_workbook_plus_44479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012182.lean\",\"744d858c5edd4d16ceff169e3a5e162b51f85558c0021d9019ccabcaa075116e\",0,\"lean_workbook_plus_17547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012183.lean\",\"253d28413640a3f60f8a673b0962674c373e83fa4bca23632890b6a775662d9f\",0,\"lean_workbook_plus_69292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 240324,
+      "path": "data/train/p31/oproofs-s00002-r00012180-n000004-0000-5a4d55a69a37b023.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "5a4d55a69a37b023be42f3fe8aac13327174d11fefab95687ebd075d012c7c5c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012184-n000004.json b/manifests/batches/oproofs/s00002-r00012184-n000004.json
index 97e9d0766c3912527658af0e7107cf8721bbcd05..a9a4ad1d189b06e100cceca4b09d2e1ed844c52a 100644
--- a/manifests/batches/oproofs/s00002-r00012184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012184-n000004",
   "batch_fingerprint": "e7ed1fb7484f9bbc23b079024a5d73e6225fa5d01d9dcf7b4930d8e074680c95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012184-n000004-0000-97ab9886fd7cbc0f.parquet",
-      "sha256": "97ab9886fd7cbc0f4fe57f2257c36a124997db02e7ce55179b1b3d8305e7972f",
-      "bytes": 349819,
-      "rows": 19,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012185.lean\",\"b69740e3db064b2ac93edbfbcfc783adbd7cef3017f36a6e040dcfdfeed5e707\",0,\"lean_workbook_44227\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012186.lean\",\"81b9b0a5d08d783e1594cecf7fc0bddf804a3f988d130968e16052695696c8ba\",0,\"lean_workbook_13970\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012187.lean\",\"70d78fdbbbfcec6a93e051018298416934e48bc5b06988dc1517bf7b9d75c4bb\",0,\"lean_workbook_26565\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 349819,
+      "path": "data/train/p02/oproofs-s00002-r00012184-n000004-0000-97ab9886fd7cbc0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "97ab9886fd7cbc0f4fe57f2257c36a124997db02e7ce55179b1b3d8305e7972f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012188-n000004.json b/manifests/batches/oproofs/s00002-r00012188-n000004.json
index 2fb3643f3e6b5ca9558d1ed9d3dc68f7d5fff684..5b011f4d4511833940cd2250e4566d465610485b 100644
--- a/manifests/batches/oproofs/s00002-r00012188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012188-n000004",
   "batch_fingerprint": "3bbdb22f722890559fe998367f0aab058681193d2cd69d79f86cb154dd8df8f9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012188-n000004-0000-146f8d5a41da9654.parquet",
-      "sha256": "146f8d5a41da96542f179b676d6737cd0182cf3716e5cb14d4274ca2999a2807",
-      "bytes": 250681,
-      "rows": 10,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012188-n000004-0000-8392c19671cac59c.parquet",
-      "sha256": "8392c19671cac59c274d6fcd1263ff6bca02e5190f13700b8b75900434b97d79",
-      "bytes": 167306,
-      "rows": 10,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012189.lean\",\"7690eca2df6be7fce9625ad1d57f76315a62e345eedb66c6944c046531c73567\",0,\"lean_workbook_plus_40442\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012190.lean\",\"8ca99a8fc283db95b13344d9ea3f60898a3f1c6ebf7b1651389813b233e61c74\",0,\"lean_workbook_38034\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012191.lean\",\"3e4443630d5b0d4bceff986d5e7738cddea1e558df84a50e94535751e43121fa\",0,\"lean_workbook_plus_10183\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250681,
+      "path": "data/train/p1e/oproofs-s00002-r00012188-n000004-0000-146f8d5a41da9654.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "146f8d5a41da96542f179b676d6737cd0182cf3716e5cb14d4274ca2999a2807"
+    },
+    {
+      "bytes": 167306,
+      "path": "data/internal_test/p1e/oproofs-s00002-r00012188-n000004-0000-8392c19671cac59c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8392c19671cac59c274d6fcd1263ff6bca02e5190f13700b8b75900434b97d79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012192-n000004.json b/manifests/batches/oproofs/s00002-r00012192-n000004.json
index ddf4ff1182b90a24c686130c1e73de8fcc0dcb57..5339e3c74d5b17ecf814deabf120821bdf1773b9 100644
--- a/manifests/batches/oproofs/s00002-r00012192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012192-n000004",
   "batch_fingerprint": "512a7ce35ff5f0059a7d4582726c3c4480a5cae9639702d47dda95aa106d75c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012192-n000004-0000-6ceef07c3d7ed8ad.parquet",
-      "sha256": "6ceef07c3d7ed8ad3e20747344beb51a6a675b2c86e2756ac6214ef4bef76131",
-      "bytes": 524197,
-      "rows": 14,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012192-n000004-0000-cd8826cb4e7a53bd.parquet",
-      "sha256": "cd8826cb4e7a53bded972628e2e2db33a760f4fd48f3bb739e25b527ee85aa7a",
-      "bytes": 67614,
-      "rows": 2,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012193.lean\",\"1270cce8c47aca6ed484318f254d4562ea7c44b0344dfad2dfaa42f0ba91a845\",0,\"lean_workbook_plus_25694\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012194.lean\",\"eb8794b1d5af130b4e03e7f7bee21629415325e97d2b24f5b6bbce6cd1717cdd\",0,\"lean_workbook_plus_13197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012195.lean\",\"669d777a9970f8ef2f879c0c4ff71963467c74a85b43b76089366fb2132bb021\",0,\"lean_workbook_plus_63017\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 524197,
+      "path": "data/train/p60/oproofs-s00002-r00012192-n000004-0000-6ceef07c3d7ed8ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6ceef07c3d7ed8ad3e20747344beb51a6a675b2c86e2756ac6214ef4bef76131"
+    },
+    {
+      "bytes": 67614,
+      "path": "data/dev/p60/oproofs-s00002-r00012192-n000004-0000-cd8826cb4e7a53bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd8826cb4e7a53bded972628e2e2db33a760f4fd48f3bb739e25b527ee85aa7a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012196-n000004.json b/manifests/batches/oproofs/s00002-r00012196-n000004.json
index df6c67f5503e3e27a5f7090ecde805564aa3753a..fae9eb3619b3d8d8066063e85d04f1f59722f219 100644
--- a/manifests/batches/oproofs/s00002-r00012196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012196-n000004",
   "batch_fingerprint": "3a42347d2cdd2d61621dad27b46cb59ce629c53a3fa461254fb8432566f9a54e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012196-n000004-0000-94808c5578e6c56d.parquet",
-      "sha256": "94808c5578e6c56dfec85145e470408fa66d876bb2cd2c8624ab1801ccc2c49a",
-      "bytes": 295513,
-      "rows": 15,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12197",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012197.lean\",\"02372cada82582c1fba00639b98fd6ed857b0e1e02b0d1818793b158acc441f5\",0,\"lean_workbook_plus_43126\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012198.lean\",\"b0695777ffd7dabdf7605dbb1db81a128515606e28d097a75969a7dc27d3250e\",0,\"lean_workbook_plus_79609\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012199.lean\",\"49895131dcac6001089967585ba72832aa3a77ce9b6e4674309a67b4a36dfb95\",0,\"lean_workbook_plus_61621\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 295513,
+      "path": "data/train/p80/oproofs-s00002-r00012196-n000004-0000-94808c5578e6c56d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "94808c5578e6c56dfec85145e470408fa66d876bb2cd2c8624ab1801ccc2c49a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012200-n000004.json b/manifests/batches/oproofs/s00002-r00012200-n000004.json
index 8671bc3b8fc321a515ac5d2c156b46ef8eb4cf44..ad2bdc94704fb785331de3bf8250e04104619e10 100644
--- a/manifests/batches/oproofs/s00002-r00012200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012200-n000004",
   "batch_fingerprint": "29e044e0f3fa9bf94d75d4ad850ffdf04cccfe2398e01851662186058f61bb7a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012200-n000004-0000-a5ed8b11ea4f66ea.parquet",
-      "sha256": "a5ed8b11ea4f66ea416e6f6dc0a77d547779795ae72c0c99b63da49b5e635018",
-      "bytes": 375217,
-      "rows": 18,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012200-n000004-0000-97d840d67d6311b3.parquet",
-      "sha256": "97d840d67d6311b3836e28e27a0bbadb34b152dd060f5011395eb5c9795e8cb5",
-      "bytes": 137240,
-      "rows": 4,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12201",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012201.lean\",\"a998b0a54071569b1064ab34f5cfc59620df1367fe20923a97d8558caa0d0031\",0,\"lean_workbook_plus_77440\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012202.lean\",\"e3019143fa068c6e41e247efc655c790556bd59fe382db7314684c4d5be4d3b7\",0,\"lean_workbook_48890\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012203.lean\",\"e533ee6979c00a346ee511e8622bbbf63b6299d8d2641799b68a3469f776cc47\",0,\"lean_workbook_plus_8256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375217,
+      "path": "data/train/p28/oproofs-s00002-r00012200-n000004-0000-a5ed8b11ea4f66ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "a5ed8b11ea4f66ea416e6f6dc0a77d547779795ae72c0c99b63da49b5e635018"
+    },
+    {
+      "bytes": 137240,
+      "path": "data/dev/p28/oproofs-s00002-r00012200-n000004-0000-97d840d67d6311b3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "97d840d67d6311b3836e28e27a0bbadb34b152dd060f5011395eb5c9795e8cb5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012204-n000004.json b/manifests/batches/oproofs/s00002-r00012204-n000004.json
index 52d4374bddda5cf004c669f04e109ef755f24384..3e3dd3ba6391110d415b529264f52cb1d4613ca4 100644
--- a/manifests/batches/oproofs/s00002-r00012204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012204-n000004",
   "batch_fingerprint": "f6aeaf58523efac392462e72754b77fc3114c01c18ef4e5b9ac8e2606a7de5eb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012204-n000004-0000-7ed38a0968f0e787.parquet",
-      "sha256": "7ed38a0968f0e787e05730dd06f4965da17ee1e66c79653f397ac399f1b404a9",
-      "bytes": 312776,
-      "rows": 5,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012204-n000004-0000-77d2abf1edf58afc.parquet",
-      "sha256": "77d2abf1edf58afc120d23655d8017bc598beceed18a6ba8f6c5ff6f74dc0c0c",
-      "bytes": 418711,
-      "rows": 9,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012205.lean\",\"b7b68883ee1a1ea9df1d0005661924848ffb7c0200cd86e8d953159d72ec415d\",0,\"lean_workbook_plus_48359\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012206.lean\",\"39a3d03123ccadbd7a508a4d4e529fcbdf8419e26651d6ee2e45ae84776e2252\",0,\"lean_workbook_17804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012207.lean\",\"b50fe51f24e9a66dc635a95774eb6e207b9eb27eb129995286a8660b8eee8a23\",0,\"lean_workbook_plus_13113\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312776,
+      "path": "data/train/pb9/oproofs-s00002-r00012204-n000004-0000-7ed38a0968f0e787.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7ed38a0968f0e787e05730dd06f4965da17ee1e66c79653f397ac399f1b404a9"
+    },
+    {
+      "bytes": 418711,
+      "path": "data/dev/pb9/oproofs-s00002-r00012204-n000004-0000-77d2abf1edf58afc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "77d2abf1edf58afc120d23655d8017bc598beceed18a6ba8f6c5ff6f74dc0c0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012208-n000004.json b/manifests/batches/oproofs/s00002-r00012208-n000004.json
index 1c59a2aec311d1afc7f150b898fe3ecf911c0893..7a71ab1604e420391f96a0283ddeedd465ae5d47 100644
--- a/manifests/batches/oproofs/s00002-r00012208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012208-n000004",
   "batch_fingerprint": "528b2ae7b7804113e55b2f50ecd4346477a294e709ae7d5822194ce747d6cc71",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012208-n000004-0000-15bd468d2f8ef6ba.parquet",
-      "sha256": "15bd468d2f8ef6ba3ba6fa24bf1b16423b02b5d18f16fa8beebcb0823ad5c272",
-      "bytes": 262428,
-      "rows": 23,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12209",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012209.lean\",\"648232d40233217daf962a5c6a4afd4b8562dca2f28f7748a6906f2a0661ccea\",1,\"part_b\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012210.lean\",\"f94b725a97c5f2fd467c9ff881c720288fe0f8ebb3c1aca9cffb7e4edf5c910b\",0,\"lean_workbook_plus_21815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012211.lean\",\"d4dec847628a1196e8f269817cc887b11ab87e447e0e7d94b70e8313ae082a99\",0,\"lean_workbook_plus_75646\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 262428,
+      "path": "data/train/p1d/oproofs-s00002-r00012208-n000004-0000-15bd468d2f8ef6ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "15bd468d2f8ef6ba3ba6fa24bf1b16423b02b5d18f16fa8beebcb0823ad5c272"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012212-n000004.json b/manifests/batches/oproofs/s00002-r00012212-n000004.json
index 673ded40893f83c17e1532f42354d4ea1b9bedfa..cdde937d4d85dfb5312e1b4b37e2df87603005de 100644
--- a/manifests/batches/oproofs/s00002-r00012212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012212-n000004",
   "batch_fingerprint": "312ff4fa591e7471ff04e1e24942cce75a65015ffed4f59d4747ea16415b9fde",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012212-n000004-0000-7f5555de7518a6ed.parquet",
-      "sha256": "7f5555de7518a6ed9e5b6476fdeb425d2875106116c62423c08e598086cd4bef",
-      "bytes": 650948,
-      "rows": 22,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012213.lean\",\"993241bbb2b8301e013d6398550d6f436a77ddc706ae733ad90d13300a035710\",0,\"lean_workbook_plus_31743\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012214.lean\",\"155e5cb7f904b0ecd70e6283d358fed442076421b23190896c3ac80865994d61\",0,\"find_divisor_from_remainder\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012215.lean\",\"edf72878fd9ecd0d1eec9334eefb12546487557fe6d87e5a0467b9d9550b2a4e\",0,\"lean_workbook_plus_41762\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 650948,
+      "path": "data/train/pce/oproofs-s00002-r00012212-n000004-0000-7f5555de7518a6ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7f5555de7518a6ed9e5b6476fdeb425d2875106116c62423c08e598086cd4bef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012216-n000004.json b/manifests/batches/oproofs/s00002-r00012216-n000004.json
index e3bea2723383a8f6d388464078b2c63afd8ee68a..0f06ac17003202d43e1279c3e54c8cfeed9c764c 100644
--- a/manifests/batches/oproofs/s00002-r00012216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012216-n000004",
   "batch_fingerprint": "8406e1580a57193685ba5bebdc28a50a6f33313cda24398f16d1acbaafec80b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012216-n000004-0000-f65c24fc0b283507.parquet",
-      "sha256": "f65c24fc0b283507f7dd573477753a65807db1f0f25df482024ff4b11c07a7fd",
-      "bytes": 174154,
-      "rows": 15,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12217",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012217.lean\",\"529bc4c4679d40c53afac6776ae557e79ccf9d99838e50799f8f79ac5e2e9b6c\",0,\"lean_workbook_plus_62744\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012218.lean\",\"e72b70b511b151af0f8854fc44e742a34216ffaa34fcf050e26ef3fdcf7da6dc\",0,\"lean_workbook_plus_38892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012219.lean\",\"2a23e923069685cc7a22b441d887e7e4351e0879c866319901bbf7e93591b6b2\",0,\"lean_workbook_plus_38571\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 174154,
+      "path": "data/train/pc8/oproofs-s00002-r00012216-n000004-0000-f65c24fc0b283507.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f65c24fc0b283507f7dd573477753a65807db1f0f25df482024ff4b11c07a7fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012220-n000004.json b/manifests/batches/oproofs/s00002-r00012220-n000004.json
index f1968fa537874db99d59239caec2171c52917a59..dcf2540cab10fa893abf3aded2899280e9bb2c83 100644
--- a/manifests/batches/oproofs/s00002-r00012220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012220-n000004",
   "batch_fingerprint": "f20a31b74bc8ba7b65e63ea0832bb52f5268af7f1d088fcce615a49f64279a59",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012220-n000004-0000-991af41310ef1a13.parquet",
-      "sha256": "991af41310ef1a1377f3780a642baded57dcbde6081156ec88c26bd834d37174",
-      "bytes": 429189,
-      "rows": 25,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012221.lean\",\"f50c06e9e5ca3a929a509f7992a9b2c5f337bb2092e9b01a42d029114db18a90\",0,\"lean_workbook_plus_75781\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012222.lean\",\"e7532cb5bddd0583a032d124a00ce92f7bfa078f491f9d7c2614c1fd348e8c18\",0,\"lean_workbook_plus_78224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012223.lean\",\"71174dcceb086477d91c164392bdd9cc1822279424c138b6b31454f0f876dadc\",0,\"lean_workbook_plus_58422\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 429189,
+      "path": "data/train/pc8/oproofs-s00002-r00012220-n000004-0000-991af41310ef1a13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "991af41310ef1a1377f3780a642baded57dcbde6081156ec88c26bd834d37174"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012224-n000004.json b/manifests/batches/oproofs/s00002-r00012224-n000004.json
index 3d2cafd31faadc310152618c2c87084a28b7d0c9..a7fe7f0d6ebefa2a4feefab491ae9e32057601d9 100644
--- a/manifests/batches/oproofs/s00002-r00012224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012224-n000004",
   "batch_fingerprint": "314cc59e36352b7767d09732d6a97182eb92903d9518415af2131e30c8156ea4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012224-n000004-0000-e26720a325e78eb7.parquet",
-      "sha256": "e26720a325e78eb7e72c840150edb9549ff4a499519ac3704f419dc442bcbd55",
-      "bytes": 207457,
-      "rows": 19,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012225.lean\",\"156dba70d30b0d89346dc85950d85c10176a7fa7894c234d65b90e08950feee7\",0,\"lean_workbook_plus_47830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012226.lean\",\"c0720d9bfac15fac2b48c0cc603eba86eed6777161d8a21c62072f6752c12c67\",0,\"lean_workbook_plus_63167\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012227.lean\",\"5bb158cd588ac707384c3ae759fe7db2795c456b275e879bafc5e87bdc172b75\",0,\"lean_workbook_plus_10523\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 207457,
+      "path": "data/train/p82/oproofs-s00002-r00012224-n000004-0000-e26720a325e78eb7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e26720a325e78eb7e72c840150edb9549ff4a499519ac3704f419dc442bcbd55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012228-n000004.json b/manifests/batches/oproofs/s00002-r00012228-n000004.json
index 5a22d06d65a534cdbd411e5b0cb84041fc5f2537..f9ab72874235f9d981cbab6ef7ad62f64fc085ee 100644
--- a/manifests/batches/oproofs/s00002-r00012228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012228-n000004",
   "batch_fingerprint": "f50f2936f0809c8c58d60cc321d4984100d4d013b826752fade5071122dc5429",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012228-n000004-0000-3013bdf31a4bf025.parquet",
-      "sha256": "3013bdf31a4bf0254ca6f656d14428736289ca3b3c8404b43d90cdfa72f1a050",
-      "bytes": 271102,
-      "rows": 17,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012228-n000004-0000-046c4cbf474956a7.parquet",
-      "sha256": "046c4cbf474956a7b7f524101bcea1cb0a904191b902605f91a2296e0d0e5a77",
-      "bytes": 95828,
-      "rows": 6,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012229.lean\",\"2f94b03f6fcae081861a54c61c55885e9cdc5953c685afcf1264982bdf4f870d\",0,\"lean_workbook_37371\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012230.lean\",\"5d85afaa178382eabd2b71625b6dd17f548469de4f0b1c9f04ebadadb67b8596\",0,\"lean_workbook_plus_81135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012231.lean\",\"3acee21cf8f139852ec9a7e893358b48819a1c650d54dc828290068ac7be1b5c\",0,\"lean_workbook_28427\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 271102,
+      "path": "data/train/p53/oproofs-s00002-r00012228-n000004-0000-3013bdf31a4bf025.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3013bdf31a4bf0254ca6f656d14428736289ca3b3c8404b43d90cdfa72f1a050"
+    },
+    {
+      "bytes": 95828,
+      "path": "data/internal_test/p53/oproofs-s00002-r00012228-n000004-0000-046c4cbf474956a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "046c4cbf474956a7b7f524101bcea1cb0a904191b902605f91a2296e0d0e5a77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012232-n000004.json b/manifests/batches/oproofs/s00002-r00012232-n000004.json
index e9c6cf3333cc4952884f457cdaa164fb7b210b26..9ce2239c367bc7908bd8037d7cb0e22ed76c192c 100644
--- a/manifests/batches/oproofs/s00002-r00012232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012232-n000004",
   "batch_fingerprint": "05e389cc786a80d6c54760be970341e8f4fc2968bcb685a3ab34d4e92b88cae8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012232-n000004-0000-1db5a441c5c13d25.parquet",
-      "sha256": "1db5a441c5c13d253017bea18c6b8d7b8271d1b497d22b19ae69eb87c0e6de35",
-      "bytes": 95694,
-      "rows": 11,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012232-n000004-0000-488c3508e4999ae5.parquet",
-      "sha256": "488c3508e4999ae574df4fc5b93130852cb51fdd0c02ee6cb2b15e8fb27a07d3",
-      "bytes": 36552,
-      "rows": 2,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12233",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012233.lean\",\"1360cb02e20fcfbbc0afba3552812eda221565eb30c4a55d27b4590629dd806a\",0,\"lean_workbook_plus_33192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012234.lean\",\"c8e2575b80665b49a5d4441f1c179f2dc598bc5c7cfcdf46391b746261561c00\",0,\"lean_workbook_plus_26453\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012235.lean\",\"7acd1d87189306a81addb17c25ecab191a02f9b82f59138442917bdda9e9d3bd\",0,\"lean_workbook_plus_42566\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95694,
+      "path": "data/train/p28/oproofs-s00002-r00012232-n000004-0000-1db5a441c5c13d25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1db5a441c5c13d253017bea18c6b8d7b8271d1b497d22b19ae69eb87c0e6de35"
+    },
+    {
+      "bytes": 36552,
+      "path": "data/internal_test/p28/oproofs-s00002-r00012232-n000004-0000-488c3508e4999ae5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "488c3508e4999ae574df4fc5b93130852cb51fdd0c02ee6cb2b15e8fb27a07d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012236-n000004.json b/manifests/batches/oproofs/s00002-r00012236-n000004.json
index be6810fab0075015899d87ef249bb79175204836..cc0e603c7078dd7af337f9b5bb23ab02eed8cb60 100644
--- a/manifests/batches/oproofs/s00002-r00012236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012236-n000004",
   "batch_fingerprint": "0be058e520d05550843547c1f6128d9de67c85318e1eadbf6e9abca2af1d6165",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012236-n000004-0000-1ec0b77572dca5ba.parquet",
-      "sha256": "1ec0b77572dca5ba5dbb1bf6fc95d44b0b74042a8932762b69b689f81a683975",
-      "bytes": 293776,
-      "rows": 19,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12237",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012237.lean\",\"15d078bd27d70c59b51fb23b820d8a86caf879f767207ebf9411d6b76323904a\",0,\"lean_workbook_plus_57903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012238.lean\",\"075cb37af23c84aa0e1c8f13ba053859e92d98008786a0af8c9b27d14cbee274\",0,\"lean_workbook_plus_50979\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012239.lean\",\"ef90d3c4d4e629e9dce874c3ed929cd6005cddef92999fea4621476e0730aa85\",0,\"lean_workbook_30278\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293776,
+      "path": "data/train/p49/oproofs-s00002-r00012236-n000004-0000-1ec0b77572dca5ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1ec0b77572dca5ba5dbb1bf6fc95d44b0b74042a8932762b69b689f81a683975"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012240-n000004.json b/manifests/batches/oproofs/s00002-r00012240-n000004.json
index d3dc119f28d3594bc026c46e292c8e1603c6a9de..e35a22132ef66c051f33d2e853f3f056fd45c829 100644
--- a/manifests/batches/oproofs/s00002-r00012240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012240-n000004",
   "batch_fingerprint": "98acf1600418b02331ae41988642d30dee109d617ad71b63c9a1601fe5e192e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012240-n000004-0000-4b70ac2baa024238.parquet",
-      "sha256": "4b70ac2baa0242384407f23f81badf5d02120ebe5cc254402973d867421f73fa",
-      "bytes": 428481,
-      "rows": 24,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12241",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012241.lean\",\"802fa4c73ef6008f751911ac161a9b24ba971b7d22c4ea4c6fc7b0dcb6c83896\",0,\"lean_workbook_plus_76090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012242.lean\",\"4015ab2c4e852e7856be0113c79878b40dc36613a860be24eaa30c08f1224d3c\",0,\"lean_workbook_plus_45581\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012243.lean\",\"50aa149edaa1bed1cd78e2183b0bafb80da2670a199f32abce187b23a91d4a9c\",0,\"lean_workbook_plus_10940\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 428481,
+      "path": "data/train/pbd/oproofs-s00002-r00012240-n000004-0000-4b70ac2baa024238.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "4b70ac2baa0242384407f23f81badf5d02120ebe5cc254402973d867421f73fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012244-n000004.json b/manifests/batches/oproofs/s00002-r00012244-n000004.json
index 8f52ce0dc8cf5696ea17f060a93b676a043b95d9..e84e2b3e53a5997e1cb858b547e737ba45d078a8 100644
--- a/manifests/batches/oproofs/s00002-r00012244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012244-n000004",
   "batch_fingerprint": "699215962cee884e16f27a0a3ef3c46d74edab382e484b4b3755f1212132b289",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012244-n000004-0000-c04f92149875c121.parquet",
-      "sha256": "c04f92149875c1213484bc2244c0a10bf23ba2d92d1ec7c9c57181500efd7938",
-      "bytes": 320618,
-      "rows": 17,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012245.lean\",\"24fab36ba1a82e4a76f83f58df983ecbfef6304effd02767bd820b0bf50fbd89\",0,\"lean_workbook_plus_33924\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012246.lean\",\"8280bdf873a73a485be97a9e16c0fb379c489f0afaae948a4f2640117bf5b92d\",0,\"lean_workbook_plus_27288\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012247.lean\",\"497261ce20a61493cb6dcc68bc888aa3a5bee79a147154cddc4be79d3c2f224b\",0,\"lean_workbook_54123\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 320618,
+      "path": "data/train/pb7/oproofs-s00002-r00012244-n000004-0000-c04f92149875c121.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c04f92149875c1213484bc2244c0a10bf23ba2d92d1ec7c9c57181500efd7938"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012248-n000004.json b/manifests/batches/oproofs/s00002-r00012248-n000004.json
index bc6e918741355872c13b05a43e305051ac5c24d8..03bed4d0013e30576781df4d261bd6009499cf8f 100644
--- a/manifests/batches/oproofs/s00002-r00012248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012248-n000004",
   "batch_fingerprint": "77f8462f5e78e7a18da24fcf4fe9586d894975e2d31d6e4a1d0e2384bf3b6779",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012248-n000004-0000-880dea67e6479b45.parquet",
-      "sha256": "880dea67e6479b45a77a195808dc8688423379ad1b558a6a1e1b026d6092c134",
-      "bytes": 146633,
-      "rows": 11,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012248-n000004-0000-a0a724888685d382.parquet",
-      "sha256": "a0a724888685d382f4c7e4c692675899ac29499e2d28c187207847d25ad97b24",
-      "bytes": 108415,
-      "rows": 6,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012249.lean\",\"e11cdee57a06ed6c987bdb242b0e69619079903b9965ce893ff32daf5c23dacb\",0,\"lean_workbook_plus_19729\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012250.lean\",\"34527d21ee58350b31c373cae1064b71f5b46fe60b41b1a6f59f477033206081\",0,\"lean_workbook_plus_54393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012251.lean\",\"a8589c26c48592e72f8446a86317e15e33cc4518f4c0e9c3c841a43cd2a74fd0\",0,\"lean_workbook_plus_21545\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 146633,
+      "path": "data/train/pd3/oproofs-s00002-r00012248-n000004-0000-880dea67e6479b45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "880dea67e6479b45a77a195808dc8688423379ad1b558a6a1e1b026d6092c134"
+    },
+    {
+      "bytes": 108415,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00012248-n000004-0000-a0a724888685d382.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a0a724888685d382f4c7e4c692675899ac29499e2d28c187207847d25ad97b24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012252-n000004.json b/manifests/batches/oproofs/s00002-r00012252-n000004.json
index ec4f1bf2e379de0a461311389d9935c77f87fd16..bbf0c3e4ad9dd2c6e45ca66e0bc8fa93baeaed2b 100644
--- a/manifests/batches/oproofs/s00002-r00012252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012252-n000004",
   "batch_fingerprint": "d741a5f085970a15c728fba94e813175dc13c67def1e389cc244f361beadbed6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012252-n000004-0000-76a3176e92635fd0.parquet",
-      "sha256": "76a3176e92635fd06510ad576d41dce62ce570da0be6cf2b2f6838e778c8d9d8",
-      "bytes": 231998,
-      "rows": 13,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012252-n000004-0000-1f4b85a9ca0da44b.parquet",
-      "sha256": "1f4b85a9ca0da44b68735a9c32a5c78c2c5a02ec9235b6a564630ca8b5eed31b",
-      "bytes": 96312,
-      "rows": 4,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012253.lean\",\"c447591a2fb3bd8b35a581e6a6fe9a2dfd8a966b4608705874e999d04d412c2a\",0,\"lean_workbook_36248\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012254.lean\",\"f00547079bdeb869c2f66569d141d6458b733ca4545cb718db031b767313b207\",0,\"lean_workbook_plus_14967\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012255.lean\",\"0e7933dda819b292cfb5b251e46a952ba53f72348db47f2b63d33e59a8c02f07\",0,\"lean_workbook_plus_66476\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 231998,
+      "path": "data/train/p25/oproofs-s00002-r00012252-n000004-0000-76a3176e92635fd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "76a3176e92635fd06510ad576d41dce62ce570da0be6cf2b2f6838e778c8d9d8"
+    },
+    {
+      "bytes": 96312,
+      "path": "data/internal_test/p25/oproofs-s00002-r00012252-n000004-0000-1f4b85a9ca0da44b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1f4b85a9ca0da44b68735a9c32a5c78c2c5a02ec9235b6a564630ca8b5eed31b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012256-n000004.json b/manifests/batches/oproofs/s00002-r00012256-n000004.json
index b9d35ea7304e84b3b4c2f9589c3aa704331cb4c7..94b6ca837beab061838141b23270c64330ebe255 100644
--- a/manifests/batches/oproofs/s00002-r00012256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012256-n000004",
   "batch_fingerprint": "469a4c1b7e9bf3e0816bd1242d3625d81baf9662a92810b307c7f2b9f297c0a0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012256-n000004-0000-43f10726df349d1a.parquet",
-      "sha256": "43f10726df349d1a7d8c510ffb932363bb1bd0cbc53ccdd86bb5771842e06084",
-      "bytes": 143337,
-      "rows": 19,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012256-n000004-0000-ca7b5fe3a3aa6260.parquet",
-      "sha256": "ca7b5fe3a3aa626030f2fed4258dabdde33cd8ba8c8f29f0f4d1f49b0e00f932",
-      "bytes": 172852,
-      "rows": 6,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012257.lean\",\"60664055dae3e89a3078930dde3b57b8724168fc8c514ad63af622f4a85ad755\",0,\"lean_workbook_plus_17547\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012258.lean\",\"b0872f70b9bd21d0f0e78eb0dcd1189294de912de86dcc3beca2f57948f56c73\",0,\"lean_workbook_plus_44479\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012259.lean\",\"b9746c18596900a9e0f9ed30f90782265f3985ca6788500cbb75f5a4e0b34fd4\",0,\"lean_workbook_plus_69292\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143337,
+      "path": "data/train/p67/oproofs-s00002-r00012256-n000004-0000-43f10726df349d1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "43f10726df349d1a7d8c510ffb932363bb1bd0cbc53ccdd86bb5771842e06084"
+    },
+    {
+      "bytes": 172852,
+      "path": "data/dev/p67/oproofs-s00002-r00012256-n000004-0000-ca7b5fe3a3aa6260.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ca7b5fe3a3aa626030f2fed4258dabdde33cd8ba8c8f29f0f4d1f49b0e00f932"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012260-n000004.json b/manifests/batches/oproofs/s00002-r00012260-n000004.json
index 51de817f2f1b783df6a3e4aac8a006a773044d99..8717f24a5cac9579d1368bd66c72abb339c31e6a 100644
--- a/manifests/batches/oproofs/s00002-r00012260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012260-n000004",
   "batch_fingerprint": "788264b51ada94ccb66c610c4b3a03f4ac207772aa75c934e49a19b07bf06dee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012260-n000004-0000-6d6978391627f4ad.parquet",
-      "sha256": "6d6978391627f4ad19cfc9a720934fdc7cd4e055a6292319ab14494abbbb150d",
-      "bytes": 355866,
-      "rows": 24,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012260-n000004-0000-6899981859050776.parquet",
-      "sha256": "6899981859050776185b3fce4e721c57811fe802290517c565a74b6a5316e3c7",
-      "bytes": 43146,
-      "rows": 3,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12261",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012261.lean\",\"e53b80026ed3a65e0944b8a2544258bf4d34fdf4bcee40fb805e69cbe69221a4\",0,\"lean_workbook_44227\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012262.lean\",\"2899e3a146b283e5968d903ac361493fe7c9517f9180541ea4cf6ba0509cdb73\",0,\"lean_workbook_21039\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012263.lean\",\"37ba64570d447ee815e777bddd035fe0f3786218fa884d7e9fa15aff2287a0a0\",0,\"lean_workbook_plus_74729\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355866,
+      "path": "data/train/pd6/oproofs-s00002-r00012260-n000004-0000-6d6978391627f4ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "6d6978391627f4ad19cfc9a720934fdc7cd4e055a6292319ab14494abbbb150d"
+    },
+    {
+      "bytes": 43146,
+      "path": "data/internal_test/pd6/oproofs-s00002-r00012260-n000004-0000-6899981859050776.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6899981859050776185b3fce4e721c57811fe802290517c565a74b6a5316e3c7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012264-n000004.json b/manifests/batches/oproofs/s00002-r00012264-n000004.json
index d5c21dab22d70af312b65f2d97117c44a155a0f3..4f9dfef51f2b9c9757b494a766f32ae6c4d6985e 100644
--- a/manifests/batches/oproofs/s00002-r00012264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012264-n000004",
   "batch_fingerprint": "65f4c9208e88e241c1c8af3ca385cc841426a1d11ff4307a6485d96279d9c3b1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012264-n000004-0000-7568893d49369233.parquet",
-      "sha256": "7568893d49369233c60cd99f56a97c4c508285a3aa8cb0c87681722266d6b5dc",
-      "bytes": 779004,
-      "rows": 36,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12265",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012265.lean\",\"630e7e11b963abe9f081cf6c0db05592eeef6e0c92334f78e05581e93894bfb3\",0,\"lean_workbook_26565\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012266.lean\",\"5b6cf1495a04295f56b5bd1ca09455403386e86244764db9f21faea736d60a99\",0,\"lean_workbook_plus_33522\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012267.lean\",\"d027af6b907a914c92b616b931cfaa42a9f2cdfa356507bb1226902bc8e6347f\",0,\"lean_workbook_plus_27117\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 779004,
+      "path": "data/train/pb3/oproofs-s00002-r00012264-n000004-0000-7568893d49369233.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "7568893d49369233c60cd99f56a97c4c508285a3aa8cb0c87681722266d6b5dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012268-n000004.json b/manifests/batches/oproofs/s00002-r00012268-n000004.json
index d961d6105bbc5b54a0a26f77e1e7ba7f9dad972e..403d291854a87e57a71f4f78a3a0f03b39b77bbe 100644
--- a/manifests/batches/oproofs/s00002-r00012268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012268-n000004",
   "batch_fingerprint": "93ffe3c71b940b90065f63e0931b0dcdeb0f89d67cc917ae402a45a4453d5a19",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012268-n000004-0000-bbf7ba0330f3855c.parquet",
-      "sha256": "bbf7ba0330f3855c2e453a40524122a9a5f08ddbed8c74aa95bc9348726d8775",
-      "bytes": 83342,
-      "rows": 9,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012268-n000004-0000-c7dbfd128d9b6030.parquet",
-      "sha256": "c7dbfd128d9b603085326aa02a8b298ae8a2f69844c07fb245c428f00127183b",
-      "bytes": 160857,
-      "rows": 9,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12269",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012269.lean\",\"1f91df6a32e090a19e50d2b084506c009fc4a8c64cd86037a4bedfc7dbe2d599\",0,\"lean_workbook_plus_10183\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012270.lean\",\"2e97a9ba760da95b964a6d1455edab79c0fe586fba2f0145b06b7d1b60aaf9a5\",0,\"lean_workbook_plus_13197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012271.lean\",\"6faab78f6ab6a73b11aa4ff4b53a0ed5d682e277fea17614ea6ede622c7913ba\",0,\"lean_workbook_38034\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 83342,
+      "path": "data/train/p60/oproofs-s00002-r00012268-n000004-0000-bbf7ba0330f3855c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bbf7ba0330f3855c2e453a40524122a9a5f08ddbed8c74aa95bc9348726d8775"
+    },
+    {
+      "bytes": 160857,
+      "path": "data/internal_test/p60/oproofs-s00002-r00012268-n000004-0000-c7dbfd128d9b6030.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c7dbfd128d9b603085326aa02a8b298ae8a2f69844c07fb245c428f00127183b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012272-n000004.json b/manifests/batches/oproofs/s00002-r00012272-n000004.json
index c6fd9a9fded1aea1733519627fc80f7986d2223c..b99d5f7aa08998301b023701c263eaa56ea55c8f 100644
--- a/manifests/batches/oproofs/s00002-r00012272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012272-n000004",
   "batch_fingerprint": "52eb0d5c38ccac8b6e0e4d29c7fe553c671e82ad2222286519116c4a5a0f3c71",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012272-n000004-0000-6409a42b53a9e697.parquet",
-      "sha256": "6409a42b53a9e69709f59eb0a22f242cba4e4f7dc3583c847488c874852a5b4a",
-      "bytes": 411655,
-      "rows": 15,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012273.lean\",\"19707345c24cff13d3f22201c0f98173036ea9849611722a216d1dd1e99ae4af\",0,\"lean_workbook_plus_43126\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012274.lean\",\"729739e20bba163b0db7b67b6e5da33cf0e5301a19554620700c94000ac135c9\",0,\"intersection_line_slope\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012275.lean\",\"7a15ffd4b5be9491aaa2ad2b21da4157e643abd9a2388e2ce836b1ce298ddd9f\",0,\"lean_workbook_plus_79609\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 411655,
+      "path": "data/train/pf0/oproofs-s00002-r00012272-n000004-0000-6409a42b53a9e697.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "6409a42b53a9e69709f59eb0a22f242cba4e4f7dc3583c847488c874852a5b4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012276-n000004.json b/manifests/batches/oproofs/s00002-r00012276-n000004.json
index 6f8a572c6519aa5c4e4827d4fd2dc4333cb14eb7..428097981fbc8a334f048195fcae7801e5ab69de 100644
--- a/manifests/batches/oproofs/s00002-r00012276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012276-n000004",
   "batch_fingerprint": "f7c35a0620d2434f553b24d4916e0f94b0545257c2e6ceaf7784da87cef5eee7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012276-n000004-0000-875f407e04da7739.parquet",
-      "sha256": "875f407e04da77392a5c90257de899cc6b62306b416de16aacc51e7b16d3f147",
-      "bytes": 277642,
-      "rows": 13,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012276-n000004-0000-b7bcf90c0406d1ae.parquet",
-      "sha256": "b7bcf90c0406d1aef59ec8ebc19ff4d2a7bd54bc645dc2f1b1a5f2b2af49a7ce",
-      "bytes": 121575,
-      "rows": 4,
-      "revision": "e56ddf18bb72a63889948e8a8900c1e2d43d06bb"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12277",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012277.lean\",\"99bd0fcb96238919f57252b2cc6e273e89bbaf5c0a20fee9b30a6dd946c459d5\",0,\"lean_workbook_plus_54172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012278.lean\",\"746789d92c1bd2ba868067da859ae523bae4ad7efaea5ee60b06a1b98d737aa2\",0,\"lean_workbook_plus_61621\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012279.lean\",\"a58390d7555b8547920fbebff95e505574bb94873c66e5aa6166f879e8584b58\",0,\"lean_workbook_48890\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277642,
+      "path": "data/train/p8a/oproofs-s00002-r00012276-n000004-0000-875f407e04da7739.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "875f407e04da77392a5c90257de899cc6b62306b416de16aacc51e7b16d3f147"
+    },
+    {
+      "bytes": 121575,
+      "path": "data/dev/p8a/oproofs-s00002-r00012276-n000004-0000-b7bcf90c0406d1ae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b7bcf90c0406d1aef59ec8ebc19ff4d2a7bd54bc645dc2f1b1a5f2b2af49a7ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012280-n000004.json b/manifests/batches/oproofs/s00002-r00012280-n000004.json
index ed5d565e2ab731f4012bb70aef6ab65099a34ae6..17ea1a27dcfbb01581e0a1d3be646b89ce6ca801 100644
--- a/manifests/batches/oproofs/s00002-r00012280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012280-n000004",
   "batch_fingerprint": "24301cfc2e50c1458c954bc1195826fd12c47c909fbde969c24d00a005051cd5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012280-n000004-0000-a2d774c773f06d6e.parquet",
-      "sha256": "a2d774c773f06d6e602e8c1b4b4ffe880a6844e2f8fda0229ea71d1100ed9cad",
-      "bytes": 448348,
-      "rows": 20,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012280-n000004-0000-f371810f3819a72f.parquet",
-      "sha256": "f371810f3819a72f74c2a6f4d5547515452d686cc74f1ffdd502531d094a6e90",
-      "bytes": 397049,
-      "rows": 4,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012281.lean\",\"fcb1563cd1d1ec9138fe417407370b4eced1dcf969028aa5c5bc29482cbcbb17\",0,\"lean_workbook_40823\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012282.lean\",\"6f714a69d0076b1170d29225b249373ba380402f8c057ea5d94c7e81ad161503\",0,\"lean_workbook_17804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012283.lean\",\"3f38a32242c3fafa95ec6196bce027e039d2bcc21f171b02f8e8246f987ed332\",0,\"lean_workbook_21331\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 448348,
+      "path": "data/train/p9e/oproofs-s00002-r00012280-n000004-0000-a2d774c773f06d6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "a2d774c773f06d6e602e8c1b4b4ffe880a6844e2f8fda0229ea71d1100ed9cad"
+    },
+    {
+      "bytes": 397049,
+      "path": "data/dev/p9e/oproofs-s00002-r00012280-n000004-0000-f371810f3819a72f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "f371810f3819a72f74c2a6f4d5547515452d686cc74f1ffdd502531d094a6e90"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012284-n000004.json b/manifests/batches/oproofs/s00002-r00012284-n000004.json
index 59cea94b718e9281f7b8de23985e633f0a3028a4..51c31a15e29c0bd003aeda433fba6544cb0b1eae 100644
--- a/manifests/batches/oproofs/s00002-r00012284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012284-n000004",
   "batch_fingerprint": "dd082ed9c1225212fba2b51162387d1f4dcaa1b48579d6c3e8f250c0c4383c95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012284-n000004-0000-c5ce3b7c28d9fe0a.parquet",
-      "sha256": "c5ce3b7c28d9fe0abd7394e77ab6bbfb2d71e0941daccc1e7d73cb41f054cbca",
-      "bytes": 527434,
-      "rows": 21,
-      "revision": "fbc4903a83bb987ffcf57314fc31133d9f38c87a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12285",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012285.lean\",\"6acde3d619d81c75df1c754a4aacb50be4f2a029486fac6e266778c4332cf376\",0,\"lean_workbook_28778\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012286.lean\",\"3f58f84342a192db6e0f233c60df34e90b6fa29127f6fcbc15978b7f89f181dd\",0,\"lean_workbook_41867\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012287.lean\",\"e7a9de263a06333e13f440d21a3c58fed6182045e495ce2392235ecab0b60048\",0,\"lean_workbook_plus_8256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 527434,
+      "path": "data/train/p4b/oproofs-s00002-r00012284-n000004-0000-c5ce3b7c28d9fe0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c5ce3b7c28d9fe0abd7394e77ab6bbfb2d71e0941daccc1e7d73cb41f054cbca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012288-n000004.json b/manifests/batches/oproofs/s00002-r00012288-n000004.json
index 4eeb3ec8f117a9b05aa1e46eda96ba88c8b11836..40efc190a30fbdf16d81996cd5152ba93f1025c1 100644
--- a/manifests/batches/oproofs/s00002-r00012288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012288-n000004",
   "batch_fingerprint": "b69b0ed47fdc7cd0b0333b94c996e5bdc02e7239b579ce941eadff98d8334468",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12288",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12289",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12290",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12291"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012288.lean\",\"e0c718ac51465f03c554377288a3d350677ce724f7cdf8d1e0fdade34ed4764d\",0,\"lean_workbook_plus_75646\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012289.lean\",\"2e989a7ecf8a161064e827984d1778953b323f3b6dba978648e4978693d724c3\",0,\"lean_workbook_38662\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012290.lean\",\"539fa94ba77f4365ff946afda311383ff5267108f6636ea3d84467bed4244e62\",0,\"lean_workbook_plus_13911\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012291.lean\",\"c0ba932324adfecc4090bc6e6c662ab7c4761d7b477ed78eab3c8a37c59d0ed7\",0,\"lean_workbook_plus_31743\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012288-n000004-0000-1ba2c439f00aaeb0.parquet",
-      "sha256": "1ba2c439f00aaeb0f876bcacc3b759ade9924489f1b5117301af0150eee6227a",
       "bytes": 1069036,
+      "path": "data/train/p9f/oproofs-s00002-r00012288-n000004-0000-1ba2c439f00aaeb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
+      "sha256": "1ba2c439f00aaeb0f876bcacc3b759ade9924489f1b5117301af0150eee6227a"
     },
     {
-      "path": "data/train/oproofs-s00002-r00012288-n000004-0001-d1ad4879275b8a17.parquet",
-      "sha256": "d1ad4879275b8a1723b2547c58059648fb656441b3065823e28678f8f964cfdb",
       "bytes": 77772,
+      "path": "data/train/p9f/oproofs-s00002-r00012288-n000004-0001-d1ad4879275b8a17.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
+      "sha256": "d1ad4879275b8a1723b2547c58059648fb656441b3065823e28678f8f964cfdb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012288-n000004-0000-04b9e2c826c993f2.parquet",
-      "sha256": "04b9e2c826c993f28d543325a32256db92b5e8d7e64978c24bfad656c0837280",
       "bytes": 217791,
+      "path": "data/dev/p9f/oproofs-s00002-r00012288-n000004-0000-04b9e2c826c993f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
+      "sha256": "04b9e2c826c993f28d543325a32256db92b5e8d7e64978c24bfad656c0837280"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12288",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12289",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12290",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12291"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012288.lean\",\"e0c718ac51465f03c554377288a3d350677ce724f7cdf8d1e0fdade34ed4764d\",0,\"lean_workbook_plus_75646\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012289.lean\",\"2e989a7ecf8a161064e827984d1778953b323f3b6dba978648e4978693d724c3\",0,\"lean_workbook_38662\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012290.lean\",\"539fa94ba77f4365ff946afda311383ff5267108f6636ea3d84467bed4244e62\",0,\"lean_workbook_plus_13911\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012291.lean\",\"c0ba932324adfecc4090bc6e6c662ab7c4761d7b477ed78eab3c8a37c59d0ed7\",0,\"lean_workbook_plus_31743\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012292-n000004.json b/manifests/batches/oproofs/s00002-r00012292-n000004.json
index 1d35a69d6f9699696b155f5e527ca1839fd64c0e..dc3795cdb225c8126d650811a5ea791d70cfe59f 100644
--- a/manifests/batches/oproofs/s00002-r00012292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012292-n000004",
   "batch_fingerprint": "00c122ff832a980370c881d30e719dc5a580d7e4242b14687ba3c8d2f9e31bbf",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012292-n000004-0000-3b5d078f7d8b498c.parquet",
-      "sha256": "3b5d078f7d8b498c15dea7a9aa2935eaab43ed1d652e9958df524047701281dc",
-      "bytes": 118390,
-      "rows": 11,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012293.lean\",\"c9b137e7571cd138cf730e5da64bcfef3020daebb83dda5ce16ae06c70d02adf\",0,\"lean_workbook_45285\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012294.lean\",\"0271b19a5833b74052e2a8b067cc482c8d4d3472ffed92a12ff4d301551f10bd\",0,\"lean_workbook_plus_78192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012295.lean\",\"6028fe8fd18032c3926f9d34c59c092520244852dba7cb4fa3500d13e1706a5c\",0,\"lean_workbook_plus_56276\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118390,
+      "path": "data/train/p6a/oproofs-s00002-r00012292-n000004-0000-3b5d078f7d8b498c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3b5d078f7d8b498c15dea7a9aa2935eaab43ed1d652e9958df524047701281dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012296-n000004.json b/manifests/batches/oproofs/s00002-r00012296-n000004.json
index c53f0ad8e0ef9f237d207ca06e29debb09d479b6..54900547f1b724f06c39dfce4b7fefae81998a09 100644
--- a/manifests/batches/oproofs/s00002-r00012296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012296-n000004",
   "batch_fingerprint": "56777b109225a8cbb26d11d22942e36ee5a8ef8be653410cb013853b34431dc4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012296-n000004-0000-ab933e4eba75e425.parquet",
-      "sha256": "ab933e4eba75e4259aa21ad7bf5089d02b125d0c6074a48bcf3c73c826f2f28b",
-      "bytes": 229022,
-      "rows": 20,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12297",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012297.lean\",\"74f00aaeae44a2afdb2fbf2dc5157d7f97f85862107bfb56b719ff18639dd9a8\",0,\"lean_workbook_plus_55563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012298.lean\",\"4ed3fc5bb1f6c7a282cc3f3f303b8916f5ddef94278bfdbe5d34f44722806efa\",0,\"lean_workbook_plus_13496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012299.lean\",\"62ee672f5f3229326535973e8186a90f24f7ea3a62ad6e8ae9d10fa2d8cd5a75\",0,\"lean_workbook_plus_13617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229022,
+      "path": "data/train/p5e/oproofs-s00002-r00012296-n000004-0000-ab933e4eba75e425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "ab933e4eba75e4259aa21ad7bf5089d02b125d0c6074a48bcf3c73c826f2f28b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012300-n000004.json b/manifests/batches/oproofs/s00002-r00012300-n000004.json
index dce69acc1c35f71a441aa8cbeefdb178769d747a..38c396395fcb7378a4b77447fbab7b5718bb8bec 100644
--- a/manifests/batches/oproofs/s00002-r00012300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012300-n000004",
   "batch_fingerprint": "a9dd2fddecb29e84c3f81ad4912d85c9e14fcaa91bb8feca69cd534349b0ecc8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012300-n000004-0000-650e27522b5b4eca.parquet",
-      "sha256": "650e27522b5b4eca32ec77e86e189a10023ba11f83770fed22417d7dce888c1f",
-      "bytes": 348940,
-      "rows": 23,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012301.lean\",\"d208d5a793ac97eaf675f6781b5375dede4f5b4f14bf6b60f926471915aa243a\",0,\"lean_workbook_plus_38805\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012302.lean\",\"614504a04cd98966c830acb3f65fe71c9dd7955778b064a70fcacb90d51810bc\",0,\"lean_workbook_plus_51458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012303.lean\",\"8b1db4ca82354d449a5a664ed82398e66e3a9d04282d63364a940ef3db152f3c\",0,\"lean_workbook_plus_51060\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 348940,
+      "path": "data/train/p21/oproofs-s00002-r00012300-n000004-0000-650e27522b5b4eca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "650e27522b5b4eca32ec77e86e189a10023ba11f83770fed22417d7dce888c1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012304-n000004.json b/manifests/batches/oproofs/s00002-r00012304-n000004.json
index 60387e0825f5ea727fb1b9ec33c2737270cc798e..5ae40fefa527916b0aa6c9bbaf9d45dff3b70651 100644
--- a/manifests/batches/oproofs/s00002-r00012304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012304-n000004",
   "batch_fingerprint": "3bc71966fc9ea6fea147d99a36e675ae64d16dd08eccecb57d93c3c851faf281",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012304-n000004-0000-ec4618c792bf0bd0.parquet",
-      "sha256": "ec4618c792bf0bd01931027fd4d9b15ad70e6313b026637db9c2d07f7e4aa513",
-      "bytes": 81790,
-      "rows": 9,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012304-n000004-0000-0e701b14a9c49a7f.parquet",
-      "sha256": "0e701b14a9c49a7fe37f929667fc7a4487e5a81690df9577429e9076ed0f13a8",
-      "bytes": 168623,
-      "rows": 2,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12305",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012305.lean\",\"507935beec00a4934c144c7d4ecad1f64ac05cc58758f66be6231cca860a4279\",0,\"lean_workbook_plus_66968\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012306.lean\",\"b2aca499f95ed09c93de9342f96eebc0e5a0ab295ef04e5cbc5e5690d92058c0\",0,\"lean_workbook_37906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012307.lean\",\"51274bc42b49cbf1ac1872c5f64daa8462766b08f328a1e6e5d9e40986ff1658\",0,\"lean_workbook_plus_55909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81790,
+      "path": "data/train/p98/oproofs-s00002-r00012304-n000004-0000-ec4618c792bf0bd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ec4618c792bf0bd01931027fd4d9b15ad70e6313b026637db9c2d07f7e4aa513"
+    },
+    {
+      "bytes": 168623,
+      "path": "data/internal_test/p98/oproofs-s00002-r00012304-n000004-0000-0e701b14a9c49a7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "0e701b14a9c49a7fe37f929667fc7a4487e5a81690df9577429e9076ed0f13a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012308-n000004.json b/manifests/batches/oproofs/s00002-r00012308-n000004.json
index 019fb25af8f10a5c0b235d6a09dd5219308cde8f..abf7fc34af3d1f3af128447b3b16a4be1cf11c33 100644
--- a/manifests/batches/oproofs/s00002-r00012308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012308-n000004",
   "batch_fingerprint": "0a2e73d638b1b2a76d1407d1272382039db5afc4f84258d7fd0c71a9c4ebeee0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012308-n000004-0000-381d00bb495109ba.parquet",
-      "sha256": "381d00bb495109bae8880501ca85526ee28c54473a913bdff1fe0e359f4b0f67",
-      "bytes": 299579,
-      "rows": 16,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012309.lean\",\"d3cad93bd1ec663b560b7bc63380d47bbd2ee52aa5fcd289f1206143955b8fc3\",0,\"lean_workbook_plus_41354\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012310.lean\",\"1be2ed084f763d4ba6058fb55dbee3fe4c16de9d0d0311150244754f3287255b\",0,\"conference_lefthanded_ratio\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012311.lean\",\"9fcb9a9d506fd23b345211cd6db2a406b852d1286b3815c3b1ea6679819e2568\",0,\"lean_workbook_plus_60301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299579,
+      "path": "data/train/p04/oproofs-s00002-r00012308-n000004-0000-381d00bb495109ba.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "381d00bb495109bae8880501ca85526ee28c54473a913bdff1fe0e359f4b0f67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012312-n000004.json b/manifests/batches/oproofs/s00002-r00012312-n000004.json
index 7cf68550fcc64b68bbc7e5d42cc7abfa3bf2fd66..9b551bf9ff7de272e9bae95037b6f0a655a9443a 100644
--- a/manifests/batches/oproofs/s00002-r00012312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012312-n000004",
   "batch_fingerprint": "3eb392dc3b55598c3dfa8766128ed8bac234f3023c1a834cea848bff159c9af6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012312-n000004-0000-b8a77fe6294001e3.parquet",
-      "sha256": "b8a77fe6294001e3495d652073df516459ce9724c36b33012ccaa180a9f448fa",
-      "bytes": 80388,
-      "rows": 4,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012312-n000004-0000-3d6f272d21c70c0a.parquet",
-      "sha256": "3d6f272d21c70c0a672a72be49ee2e952b8604e0f4d1835e58427a906c84a0ce",
-      "bytes": 154879,
-      "rows": 5,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12313",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012313.lean\",\"42e6badffdcd665bb843bedec5155514cb87361096f3ae90ef254a3faa4fce50\",0,\"lean_workbook_plus_68038\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012314.lean\",\"d9cbebfe1c389296d8b254f5337aca346c83b69e7b3dc409f2229ee3cb4de447\",0,\"lean_workbook_plus_30129\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012315.lean\",\"21cce177c403c87c862c2288c41c89f1b15b6192705d57f20f49ddd5b94fc682\",0,\"lean_workbook_plus_42993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 80388,
+      "path": "data/train/p3c/oproofs-s00002-r00012312-n000004-0000-b8a77fe6294001e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b8a77fe6294001e3495d652073df516459ce9724c36b33012ccaa180a9f448fa"
+    },
+    {
+      "bytes": 154879,
+      "path": "data/internal_test/p3c/oproofs-s00002-r00012312-n000004-0000-3d6f272d21c70c0a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "3d6f272d21c70c0a672a72be49ee2e952b8604e0f4d1835e58427a906c84a0ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012316-n000004.json b/manifests/batches/oproofs/s00002-r00012316-n000004.json
index 35f015c79b25d5aaf156d089e866da30fe68aa50..9977bbbd3f0aadf9d136c0398067c143b43a8bdd 100644
--- a/manifests/batches/oproofs/s00002-r00012316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012316-n000004",
   "batch_fingerprint": "d26d6927362b3201173ff51397a4d86ccb2c5e9c2c5d6f0b763f29afe3aba466",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012316-n000004-0000-f3e52bf749f97ddf.parquet",
-      "sha256": "f3e52bf749f97ddf913d360aa0e25971ae865bc396a3f487bafd2bb7729d4b27",
-      "bytes": 379843,
-      "rows": 28,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012317.lean\",\"a5a1393a05c17a550614059b4ea9d7ec700e86f5a0d0ec891cc9b985f9ef9463\",0,\"lean_workbook_plus_25363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012318.lean\",\"c736d8d1e614124141b3d91f65cda5b8f76e9e824db20a7fd2e7fe4261948e98\",0,\"lean_workbook_plus_25386\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012319.lean\",\"fff4fd844580e27a3c53c12fe53c684fe7e2d64685b49524aeb98e15d594e7dd\",0,\"lean_workbook_plus_80396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 379843,
+      "path": "data/train/pf7/oproofs-s00002-r00012316-n000004-0000-f3e52bf749f97ddf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "f3e52bf749f97ddf913d360aa0e25971ae865bc396a3f487bafd2bb7729d4b27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012320-n000004.json b/manifests/batches/oproofs/s00002-r00012320-n000004.json
index 55f3f647a2db1f06e5900da63c3631a05dacb263..e2b4877e82fae9630738136dc5c72d9c0ee0cc47 100644
--- a/manifests/batches/oproofs/s00002-r00012320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012320-n000004",
   "batch_fingerprint": "84e75d0c12b1a48ad72016b3ba83ef19d769c3aea27b38019ac10674e299d50a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012320-n000004-0000-336f5e097e5f82dd.parquet",
-      "sha256": "336f5e097e5f82ddf5fd1ba300d0ff0810a53e5c4394396f9deee797abd234ba",
-      "bytes": 154984,
-      "rows": 11,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12321",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012321.lean\",\"c74928bc99871f3d0307c6311726783883056bde49237ed920fa679502685dd2\",0,\"lean_workbook_plus_47533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012322.lean\",\"13d98c9133d9607bfdb964628f9d26018c56c45288d2e6a13f5d6043b83021b9\",0,\"lean_workbook_plus_28152\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012323.lean\",\"aaeb7b7793d6a88c1fd13b8d885456084d2e591160632dde280181295d6547c7\",0,\"lean_workbook_plus_30296\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 154984,
+      "path": "data/train/pe3/oproofs-s00002-r00012320-n000004-0000-336f5e097e5f82dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "336f5e097e5f82ddf5fd1ba300d0ff0810a53e5c4394396f9deee797abd234ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012324-n000004.json b/manifests/batches/oproofs/s00002-r00012324-n000004.json
index 6ecf433cde2dab0b6407bd4cf846f20dab2d5665..03e1985db6d4aa72e599ded621ad628eafb4d0ad 100644
--- a/manifests/batches/oproofs/s00002-r00012324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012324-n000004",
   "batch_fingerprint": "5f0f3da6ab0f42a8d3bc56cecf03cdc66a017d5b1864ecdbc71c1dbdb6668ceb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012324-n000004-0000-2cf848729694a790.parquet",
-      "sha256": "2cf848729694a79031f5d8c061cc16ec899147091517be9faeff0c5ea9bd4829",
-      "bytes": 292511,
-      "rows": 15,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012324-n000004-0000-ead4b31c15746436.parquet",
-      "sha256": "ead4b31c157464361e399ad9968d463fd930c8de1da0db5c11889416680b6781",
-      "bytes": 36452,
-      "rows": 2,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12325",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012325.lean\",\"da0564d1ae26a5d0464fb3b8ec331466ebf9bff3550694567174bc6b8f52c599\",0,\"lean_workbook_53534\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012326.lean\",\"73efb5b17ae4c1c54894e107e68956a77b9e22165a48c24648af5ea71b810d78\",0,\"lean_workbook_plus_19043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012327.lean\",\"8b8a7723ff79d8499499c0a505c7ce2a6e5f77469a4c7d358d733fcb90c194b3\",0,\"lean_workbook_42373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292511,
+      "path": "data/train/pf4/oproofs-s00002-r00012324-n000004-0000-2cf848729694a790.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "2cf848729694a79031f5d8c061cc16ec899147091517be9faeff0c5ea9bd4829"
+    },
+    {
+      "bytes": 36452,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00012324-n000004-0000-ead4b31c15746436.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ead4b31c157464361e399ad9968d463fd930c8de1da0db5c11889416680b6781"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012328-n000004.json b/manifests/batches/oproofs/s00002-r00012328-n000004.json
index 5f682a01e0afb0f99a15bbf6b54c1b936c217d3f..f17b62b2f2b824a8102a0d6ead5570d764d8baad 100644
--- a/manifests/batches/oproofs/s00002-r00012328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012328-n000004",
   "batch_fingerprint": "8a3937389ece5863d6d0cc96b75842a45a3ea483c7f970bbb70fd8bdd8d43939",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012328-n000004-0000-1883bce71e9ca5d7.parquet",
-      "sha256": "1883bce71e9ca5d78642169d1a951677150e6d6dad569f6cfd0bec25788eda55",
-      "bytes": 331393,
-      "rows": 28,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012329.lean\",\"af7973b24890e68ebbd5e5dcf11d62dad1e13de691f7f040b8fdfd467bf23640\",0,\"lean_workbook_plus_76107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012330.lean\",\"b27bfc0eeeb9926836032cfd8b17a3ae3aa3516cc42d83776f093425a59e0317\",0,\"lean_workbook_plus_48090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012331.lean\",\"082dcb815da58d8afc78301062692a1804b83cad9a3dc17f3f777e9da947768e\",0,\"lean_workbook_plus_32194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331393,
+      "path": "data/train/pb6/oproofs-s00002-r00012328-n000004-0000-1883bce71e9ca5d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "1883bce71e9ca5d78642169d1a951677150e6d6dad569f6cfd0bec25788eda55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012332-n000004.json b/manifests/batches/oproofs/s00002-r00012332-n000004.json
index 90998e07b0ea4f8888558a37eab33d3767c10380..5b82f25e5dea8dd0c9db42c3dccd33118f3b1722 100644
--- a/manifests/batches/oproofs/s00002-r00012332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012332-n000004",
   "batch_fingerprint": "f9e375323c8ab0b355baf6dfa48c08f690e33cf0c1f55c4edcb0ed67de81fdd2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012332-n000004-0000-709d405357c3b6e3.parquet",
-      "sha256": "709d405357c3b6e3a47f263010d21747a3f8b50d1b710d77b8d7f4e8add4fdf3",
-      "bytes": 250782,
-      "rows": 12,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012332-n000004-0000-b734307df9299fd0.parquet",
-      "sha256": "b734307df9299fd0b3feda79551bc896c9d9625f1d242cc134e2111381985646",
-      "bytes": 145424,
-      "rows": 4,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012333.lean\",\"c54064326f9ad42b4d37e225f3bee7bdd38bd74b18e6fa8d44e1fc7fdfde3ddd\",0,\"lean_workbook_28691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012334.lean\",\"ed918d56d56c2a6c0a498d17b72820460363738927e22dab7b42d347967bdd2d\",0,\"algebraic_product_eval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012335.lean\",\"743816bc6dee895efa4aa67b06f27f6e590cfbebd045a5069903370e8c987264\",0,\"abs_inequality_implies_signs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250782,
+      "path": "data/train/peb/oproofs-s00002-r00012332-n000004-0000-709d405357c3b6e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "709d405357c3b6e3a47f263010d21747a3f8b50d1b710d77b8d7f4e8add4fdf3"
+    },
+    {
+      "bytes": 145424,
+      "path": "data/internal_test/peb/oproofs-s00002-r00012332-n000004-0000-b734307df9299fd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b734307df9299fd0b3feda79551bc896c9d9625f1d242cc134e2111381985646"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012336-n000004.json b/manifests/batches/oproofs/s00002-r00012336-n000004.json
index 342e55e7fd782aa0ce69f883a5154e02457d4a60..cafa4a77b9e4dfc25f129b7f7f2d053c1c896c00 100644
--- a/manifests/batches/oproofs/s00002-r00012336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012336-n000004",
   "batch_fingerprint": "5f30da23cb11bd8c0d67bfec96b989c77ca017f6f880f057ef100807da587d95",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012336-n000004-0000-d994a1ef6f5f2b78.parquet",
-      "sha256": "d994a1ef6f5f2b789e46c19960eb4b0cedfe7486c8871330e455882b46abbe84",
-      "bytes": 382011,
-      "rows": 17,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12337",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012337.lean\",\"98738bf9ad2891107e5219f74bb0d5e15411cc26c55aa944a46f9add16afebb6\",0,\"lean_workbook_plus_62682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012338.lean\",\"5ed375048b5093405ba1afb404330ac78a1296dddc36c227c4ccf0e58ff1cb66\",0,\"lean_workbook_11363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012339.lean\",\"ac291a5bc2c3b4929178e0fd9ce758f73c63603be525cc927be6c375e1e346a1\",0,\"lean_workbook_plus_44172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 382011,
+      "path": "data/train/p4d/oproofs-s00002-r00012336-n000004-0000-d994a1ef6f5f2b78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "d994a1ef6f5f2b789e46c19960eb4b0cedfe7486c8871330e455882b46abbe84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012340-n000004.json b/manifests/batches/oproofs/s00002-r00012340-n000004.json
index 207fe3dd7e042330435095cc54ef1ce57b9f973b..0644f0b9432e621bd84f26a2e1f66d33866f61db 100644
--- a/manifests/batches/oproofs/s00002-r00012340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012340-n000004",
   "batch_fingerprint": "b447a768d796c63b49cd9a1c577124923a81adcbac27e5e87e859541f1f52310",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012340-n000004-0000-d0a70f294612c00b.parquet",
-      "sha256": "d0a70f294612c00b5bf71e4bfee5ec1ecc2e1d55efbdeb57aeef9132d7659360",
-      "bytes": 503260,
-      "rows": 26,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012340-n000004-0000-7471f44c2d346de9.parquet",
-      "sha256": "7471f44c2d346de93dd7cad61c677ca97089b3215c8a2830debc44bd76bb97a9",
-      "bytes": 80602,
-      "rows": 3,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012341.lean\",\"e5ce5f16e9b6e913434033319bfbf7d173108eac9fe99a6ed3924bc9554b0d56\",0,\"complex_number_properties\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012342.lean\",\"5c5d40000b27d95817093e67b29f76670e420d1aee1a9f31dd416fbd50f0d869\",0,\"lean_workbook_plus_28947\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012343.lean\",\"873e03c7dc5fe8f14af668c52db8bc2b7e71c796bb3cd22662614d93121ec1c2\",0,\"lean_workbook_plus_46903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 503260,
+      "path": "data/train/pea/oproofs-s00002-r00012340-n000004-0000-d0a70f294612c00b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "d0a70f294612c00b5bf71e4bfee5ec1ecc2e1d55efbdeb57aeef9132d7659360"
+    },
+    {
+      "bytes": 80602,
+      "path": "data/internal_test/pea/oproofs-s00002-r00012340-n000004-0000-7471f44c2d346de9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7471f44c2d346de93dd7cad61c677ca97089b3215c8a2830debc44bd76bb97a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012344-n000004.json b/manifests/batches/oproofs/s00002-r00012344-n000004.json
index 608697c899f7f959350bfc8dd20364e35d8ac903..f572e01b37aeb8faebe842af4d08af05d668bc9e 100644
--- a/manifests/batches/oproofs/s00002-r00012344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012344-n000004",
   "batch_fingerprint": "e8fd83f8334f8e5dab2292f117dd790d0d9ce7ede3efc7310f91ff807f7dd7ec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012344-n000004-0000-3fb141f213deaa4e.parquet",
-      "sha256": "3fb141f213deaa4eec10804f33b2a5daccfebb3ca0202dbe4fb2cae4c33e8b63",
-      "bytes": 265230,
-      "rows": 20,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012345.lean\",\"8d300cc5b6dee1660ba2c1e42b9b7620139dc5d8eda5d8722c2d1a88416b5371\",0,\"lean_workbook_45172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012346.lean\",\"5fd56510c1faf0b117f9311c5f83fa8375776da6e32067508acd22411472d0e9\",0,\"lean_workbook_plus_27369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012347.lean\",\"b689c306240ca85ed8a2a5b0b375a6484e1ec831e087452458ef85624f425f76\",0,\"lean_workbook_34395\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 265230,
+      "path": "data/train/pd0/oproofs-s00002-r00012344-n000004-0000-3fb141f213deaa4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "3fb141f213deaa4eec10804f33b2a5daccfebb3ca0202dbe4fb2cae4c33e8b63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012348-n000004.json b/manifests/batches/oproofs/s00002-r00012348-n000004.json
index bcfd167fc84e8d490d9370789ac2eef8eedfb3af..41bb11a8ffe4934905740a9318ea499a995a3728 100644
--- a/manifests/batches/oproofs/s00002-r00012348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012348-n000004",
   "batch_fingerprint": "2590b343b8572673f89fb26669083f9a7639ae4eabad469da72c653e94889eb1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012348-n000004-0000-07e83b7615d02519.parquet",
-      "sha256": "07e83b7615d02519192bde78bfad23389a04c53941615d1c12df8ce0fd141177",
-      "bytes": 432571,
-      "rows": 32,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12349",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012349.lean\",\"796d29c0caeb6a9b4bc141be10db4c7287e87cc4a352c21be07bda6bf17af699\",0,\"lean_workbook_plus_18160\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012350.lean\",\"bb9d8f3614eb7221d855a509b52abafaa7b15bea71724681477f02105a4b21b2\",0,\"lean_workbook_plus_71125\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012351.lean\",\"2cfd8fd4546f44aa15b64052bf6ffdcc8a21e53258d82c5f16b352f1cd1e2a88\",0,\"lean_workbook_plus_30867\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 432571,
+      "path": "data/train/p92/oproofs-s00002-r00012348-n000004-0000-07e83b7615d02519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "07e83b7615d02519192bde78bfad23389a04c53941615d1c12df8ce0fd141177"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012352-n000004.json b/manifests/batches/oproofs/s00002-r00012352-n000004.json
index fc0ed9ca0d5805df1f76eeb29af3e2c12bfa8c07..e73d142ebdaf2eeeb46ff477a33e2c079f6daad5 100644
--- a/manifests/batches/oproofs/s00002-r00012352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012352-n000004",
   "batch_fingerprint": "bbea72e7fe510e414a73423f6019df1e9af8ebf9eeb1da5eab218cbf02b867b8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012352-n000004-0000-8df2bdaec4a4578d.parquet",
-      "sha256": "8df2bdaec4a4578d241d24262816fb417b03081b5f09ffb0605609ec731e9a2f",
-      "bytes": 272797,
-      "rows": 13,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012353.lean\",\"bc586abe967360a15d66a86f417066cc2f5f94074f3016a165cfd1f2361a2dce\",0,\"lean_workbook_plus_33706\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012354.lean\",\"1e136510e1e0511e18b71326fed128a0f08b241ec51ddea86e640f20dff9af4e\",0,\"lean_workbook_plus_10224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012355.lean\",\"bcf683c4399289adabf74141a05a33646c1069efd847801cf3ede8e276f8b812\",0,\"lean_workbook_42683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272797,
+      "path": "data/train/pf9/oproofs-s00002-r00012352-n000004-0000-8df2bdaec4a4578d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8df2bdaec4a4578d241d24262816fb417b03081b5f09ffb0605609ec731e9a2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012356-n000004.json b/manifests/batches/oproofs/s00002-r00012356-n000004.json
index 3518fdbe44914f84d58bb237a58d7c0a6d9615c9..ea348d4161d0370e1a7e9c7da2a92c2177b1972c 100644
--- a/manifests/batches/oproofs/s00002-r00012356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012356-n000004",
   "batch_fingerprint": "3fd129b4086c21bcd1ffa919f85fcd77e0fdd8928f780b1b77b70c8fb8b9eb5d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012356-n000004-0000-6a3f972830ab16ac.parquet",
-      "sha256": "6a3f972830ab16acdc9799578ce5d3aa7fd91106455a7ad19bb492aa9639df31",
-      "bytes": 852493,
-      "rows": 20,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012357.lean\",\"5cd5f11b9eed214c1cb4a58b7ec3dd233f3513d0bb84ebc7c40fc80b74c3c189\",0,\"lean_workbook_plus_18516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012358.lean\",\"45d26c894b6a2193fe833c1ed5dfcbef68cfb1aa666e8e65510f1a99ef809abf\",0,\"lean_workbook_plus_68461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012359.lean\",\"fa4540b893ed408958f07808d5c3ffba43713b5f94cb7cf30538ddfb71608611\",0,\"lean_workbook_plus_27158\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 852493,
+      "path": "data/train/pb2/oproofs-s00002-r00012356-n000004-0000-6a3f972830ab16ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6a3f972830ab16acdc9799578ce5d3aa7fd91106455a7ad19bb492aa9639df31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012360-n000004.json b/manifests/batches/oproofs/s00002-r00012360-n000004.json
index a72b924c98285bae80278eaa99d8776cb73b5dfb..a0270b4c22c0acef2f0570f449f92957435397f9 100644
--- a/manifests/batches/oproofs/s00002-r00012360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012360-n000004",
   "batch_fingerprint": "d84c135a7e555575bb3d56e94880e5f1ceb237ac28f3669eddbf7bee0145ccfb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012360-n000004-0000-4ea21b7a298f9dcf.parquet",
-      "sha256": "4ea21b7a298f9dcf0cb03a078a810875d1bb5cff4a7dea9d25f69a8b94a59002",
-      "bytes": 75677,
-      "rows": 12,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12361",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012361.lean\",\"684cbe4ddf7adcde8889167d3ed02d90abae81c478ae3f3849871b416c3d06a6\",0,\"lean_workbook_plus_78192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012362.lean\",\"358b25cd067aed67c2c834e430e406b37fdac97967b43e31d35a7cfc19619815\",0,\"lean_workbook_plus_4579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012363.lean\",\"4f3a254fb2aebd45bb1aee7e8d87f3602c69cf6e74a4ed8db971bfbe9060ce75\",0,\"lean_workbook_plus_13617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 75677,
+      "path": "data/train/pf3/oproofs-s00002-r00012360-n000004-0000-4ea21b7a298f9dcf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "4ea21b7a298f9dcf0cb03a078a810875d1bb5cff4a7dea9d25f69a8b94a59002"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012364-n000004.json b/manifests/batches/oproofs/s00002-r00012364-n000004.json
index f0eda31f1ce2568313dd167852cb66ae4dc5d427..5e33b7902281738056cd5f414bad8904c7e335da 100644
--- a/manifests/batches/oproofs/s00002-r00012364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012364-n000004",
   "batch_fingerprint": "2358f733e3dfb0dae76c36f8bc7d995ccffb509e347063ceca10fdd61f3750b5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012364-n000004-0000-6d3812ac78de3fc2.parquet",
-      "sha256": "6d3812ac78de3fc2b7b8802ea660bf3b2262bc35b4744ff7e83882de8445eb1f",
-      "bytes": 322870,
-      "rows": 17,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12365",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012365.lean\",\"02d72139e1f0d7a3d77a9fa2a673d5a3d4b40dbb62db1232eaa2e0fac5f932e7\",0,\"lean_workbook_plus_61350\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012366.lean\",\"264d316aa24637a0811e8356d7ab96dd69fddb9ff3eac4effa15cebfec8b2837\",0,\"lean_workbook_plus_55563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012367.lean\",\"3566e55bb5e262e4bf98901313d0238fd63bd18261a2c0debe313eb99f36f79e\",0,\"lean_workbook_plus_51458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322870,
+      "path": "data/train/pb0/oproofs-s00002-r00012364-n000004-0000-6d3812ac78de3fc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6d3812ac78de3fc2b7b8802ea660bf3b2262bc35b4744ff7e83882de8445eb1f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012368-n000004.json b/manifests/batches/oproofs/s00002-r00012368-n000004.json
index 431ecf046c5a5764f4dd31de1339e792bf66e0a2..6f8f5cf3c8283197676d86bf80f84cb8d75d1c97 100644
--- a/manifests/batches/oproofs/s00002-r00012368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012368-n000004",
   "batch_fingerprint": "a8853facbb90a0d87205a4410fc9fe168a24c66f2abc64170804d45da0c73857",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012368-n000004-0000-1bfcbf607152a0c6.parquet",
-      "sha256": "1bfcbf607152a0c69cb0ae736b0d8b6bf5ceab71926ed042c4aae2e77ce0c7b2",
-      "bytes": 153517,
-      "rows": 15,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012369.lean\",\"60fa34e52a4c33a19b6d091755618b406158c6c0cb3b3728ed2dd061f3340ca3\",0,\"lean_workbook_plus_25571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012370.lean\",\"535f964790e340010f0d4a2dde8b1bc2271ab9bca9d597d5424ba055e78404aa\",0,\"lean_workbook_plus_66968\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012371.lean\",\"26de3961980036a4f46010a4e106318a46c7e1af18118961f26345ff5271930c\",0,\"lean_workbook_plus_55909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153517,
+      "path": "data/train/p24/oproofs-s00002-r00012368-n000004-0000-1bfcbf607152a0c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "1bfcbf607152a0c69cb0ae736b0d8b6bf5ceab71926ed042c4aae2e77ce0c7b2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012372-n000004.json b/manifests/batches/oproofs/s00002-r00012372-n000004.json
index 6cc21d8d7acf087e3469867aad926b4cb27c6370..48fa0cde75aed63662cbc51dbf8c0c0329a26a5c 100644
--- a/manifests/batches/oproofs/s00002-r00012372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012372-n000004",
   "batch_fingerprint": "e9c0d728c6290983e84d7408a507a4474fbc0caaa5f8a93df1d75ef4bcfa5f11",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012372-n000004-0000-38a8e9f2b18f6eb8.parquet",
-      "sha256": "38a8e9f2b18f6eb87b4672aacd04fb1505d2b69ec25c988280e37d0951cb9de6",
-      "bytes": 134345,
-      "rows": 14,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12373",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012373.lean\",\"35f0b714512f296aea75420f403f10a89253ccb67779464261886bee860b5135\",0,\"lean_workbook_plus_41354\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012374.lean\",\"75a74d250695e73b3c77cd45f5be058762c1bd140d008a18ac24be6e81937776\",0,\"lean_workbook_plus_30571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012375.lean\",\"15de9c8b7151cf5c25c9c368056a5aac0c12fb5c181825ba239bc8103a42c096\",0,\"lean_workbook_plus_29383\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134345,
+      "path": "data/train/p8c/oproofs-s00002-r00012372-n000004-0000-38a8e9f2b18f6eb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "38a8e9f2b18f6eb87b4672aacd04fb1505d2b69ec25c988280e37d0951cb9de6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012376-n000004.json b/manifests/batches/oproofs/s00002-r00012376-n000004.json
index eba5ca6f82435d4837840ad6f7223ec078cfdea1..9258109a5fdd19a6f72fc51dbdb04c15628c55ea 100644
--- a/manifests/batches/oproofs/s00002-r00012376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012376-n000004",
   "batch_fingerprint": "95a9963be63fcded83d40a32da6cecf9c4b2be256c59a92123c2f7df200dd791",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012376-n000004-0000-4213054cde8e5146.parquet",
-      "sha256": "4213054cde8e5146b17b14040044be4390e1407db03c6f41d6a113e5380ae497",
-      "bytes": 94442,
-      "rows": 6,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012376-n000004-0000-c2927097e22f2071.parquet",
-      "sha256": "c2927097e22f20710a358f74685223f91713b2a10fb1148666f911b8045821f9",
-      "bytes": 312077,
-      "rows": 6,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012377.lean\",\"499356b2e331552699292c76200ca98353b7f3b42a9058f45fa99f98fed6ab0a\",0,\"lean_workbook_plus_34279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012378.lean\",\"9b9f229dc1dffa603eee404704ecbdba751031a70389697dcff11a6e8b086918\",0,\"lean_workbook_plus_47738\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012379.lean\",\"bdf5851b2caf4b6d51b7bc45fc3c0d06efb5289be699ff399a6c8bda4b7996ba\",0,\"lean_workbook_plus_24225\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94442,
+      "path": "data/train/pd5/oproofs-s00002-r00012376-n000004-0000-4213054cde8e5146.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "4213054cde8e5146b17b14040044be4390e1407db03c6f41d6a113e5380ae497"
+    },
+    {
+      "bytes": 312077,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00012376-n000004-0000-c2927097e22f2071.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c2927097e22f20710a358f74685223f91713b2a10fb1148666f911b8045821f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012380-n000004.json b/manifests/batches/oproofs/s00002-r00012380-n000004.json
index f7733b985adbc235d36d452a3a213ca22c05c07d..7c34a3178a9695a6d47dbb05d3bb8c9ad9a06f78 100644
--- a/manifests/batches/oproofs/s00002-r00012380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012380-n000004",
   "batch_fingerprint": "d2f202547bdecd7e1c93430e5722a7474f3587a0d64e15e1c06885ffbb882980",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012380-n000004-0000-54b5e31f80ed8d35.parquet",
-      "sha256": "54b5e31f80ed8d3512ade8a53f78dc8e6a97bdb2bd9971f672e372e229b99297",
-      "bytes": 324537,
-      "rows": 11,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012380-n000004-0000-ce04fde015927431.parquet",
-      "sha256": "ce04fde015927431665aa759707cf96ae9740035dcfa9478c18453ce1dbecbc1",
-      "bytes": 172499,
-      "rows": 3,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12381",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012381.lean\",\"8de6145d945a12792b7951a3ef1112214f321bd87551d23a714d5349a117bd75\",0,\"lean_workbook_plus_68038\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012382.lean\",\"b6f979170fc704f605f87b5be5456fba66822f083f0c51b89c07f11e1cfb26ce\",0,\"lean_workbook_plus_60301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012383.lean\",\"a5595d70d052a4c52b9304933bcc4ec80930b21b17260ef08f683547fe8a8928\",0,\"lean_workbook_plus_42993\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 324537,
+      "path": "data/train/p64/oproofs-s00002-r00012380-n000004-0000-54b5e31f80ed8d35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "54b5e31f80ed8d3512ade8a53f78dc8e6a97bdb2bd9971f672e372e229b99297"
+    },
+    {
+      "bytes": 172499,
+      "path": "data/internal_test/p64/oproofs-s00002-r00012380-n000004-0000-ce04fde015927431.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ce04fde015927431665aa759707cf96ae9740035dcfa9478c18453ce1dbecbc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012384-n000004.json b/manifests/batches/oproofs/s00002-r00012384-n000004.json
index 97dd13f42d347335c763e08403e54f125d28139a..55e0406e0e3c921400902dfc39ead6792e235b78 100644
--- a/manifests/batches/oproofs/s00002-r00012384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012384-n000004",
   "batch_fingerprint": "d0502c1f81bdd56742310a5a551e03c3bcbe851590410204fbe833eb184e651f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012384-n000004-0000-f8d7f7c37510dba1.parquet",
-      "sha256": "f8d7f7c37510dba1471278b882b5b87844fb796fd75a8c7dcb7dafb5a03585f9",
-      "bytes": 200827,
-      "rows": 11,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012384-n000004-0000-df2b1faea4f6bd19.parquet",
-      "sha256": "df2b1faea4f6bd19d42f97e98478f553e080c87e36d151a71f708085d0b8d0e9",
-      "bytes": 117866,
-      "rows": 3,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012385.lean\",\"79841ef4b632d93b2e0e534674e3e54f82d04d064e8f0739795299eca6876dbe\",0,\"lean_workbook_plus_21279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012386.lean\",\"00e0e41e138f95993222995769c5c4519db92eea369c1fca4053563b90e2d814\",0,\"lean_workbook_plus_80396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012387.lean\",\"f5153f9552bd903997d1931ac18705b4f2b243211c8bdf23c76a39289bf9c135\",0,\"lean_workbook_plus_47533\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200827,
+      "path": "data/train/p6a/oproofs-s00002-r00012384-n000004-0000-f8d7f7c37510dba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f8d7f7c37510dba1471278b882b5b87844fb796fd75a8c7dcb7dafb5a03585f9"
+    },
+    {
+      "bytes": 117866,
+      "path": "data/internal_test/p6a/oproofs-s00002-r00012384-n000004-0000-df2b1faea4f6bd19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "df2b1faea4f6bd19d42f97e98478f553e080c87e36d151a71f708085d0b8d0e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012388-n000004.json b/manifests/batches/oproofs/s00002-r00012388-n000004.json
index ff6d79562a6d84307bf5c1918d446f380aa569e9..0e66241968cdf175e419de830efa8e4678b72ccb 100644
--- a/manifests/batches/oproofs/s00002-r00012388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012388-n000004",
   "batch_fingerprint": "acee546929bd5b985365908e1ec86fe78f856a8055c974663a30f0c409fb0e66",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012388-n000004-0000-5f9218a59bff7e38.parquet",
-      "sha256": "5f9218a59bff7e38f7ebb628af5f099ce09626ad8f40896afb6010e45ab720d0",
-      "bytes": 274208,
-      "rows": 17,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012388-n000004-0000-c3287c2000f08425.parquet",
-      "sha256": "c3287c2000f084250a68eb8451bad8182aa489f95b11a086a571e4fadec02ddc",
-      "bytes": 35252,
-      "rows": 2,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012389.lean\",\"2b4d334cb88b15517bda6877a523d33395081c8889fc1ba6f756ecea73c423a8\",0,\"lean_workbook_plus_56928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012390.lean\",\"8b8ac0e3d682dba8f2dbbcb282b369fbec1e0155f2513f15f123556a91ea92dc\",0,\"lean_workbook_53534\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012391.lean\",\"58a717918b8b4efc8962cdd46043ae50db504a25822232516ec03bfb081508a0\",0,\"lean_workbook_plus_19043\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274208,
+      "path": "data/train/p39/oproofs-s00002-r00012388-n000004-0000-5f9218a59bff7e38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5f9218a59bff7e38f7ebb628af5f099ce09626ad8f40896afb6010e45ab720d0"
+    },
+    {
+      "bytes": 35252,
+      "path": "data/internal_test/p39/oproofs-s00002-r00012388-n000004-0000-c3287c2000f08425.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c3287c2000f084250a68eb8451bad8182aa489f95b11a086a571e4fadec02ddc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012392-n000004.json b/manifests/batches/oproofs/s00002-r00012392-n000004.json
index 0a180cc363297e80f9ae311f3d92763b4bfb3c67..0b961573dd2629477e3c568a58fd95c64e5e0c19 100644
--- a/manifests/batches/oproofs/s00002-r00012392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012392-n000004",
   "batch_fingerprint": "4a324e2e50083a3d3b450e99781f5170a94faaca1507b155fa44f3d3c4d90a58",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012392-n000004-0000-0e39ff8c8cbfa2d8.parquet",
-      "sha256": "0e39ff8c8cbfa2d899202661ab80171c9a07fca45ab8c0eb34d91a4f0983eb4d",
-      "bytes": 280921,
-      "rows": 25,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12393",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012393.lean\",\"4c6605f13905089a4d24cb251420ea75cd362aab0e85becfda1ee0651fc6280e\",0,\"lean_workbook_2266\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012394.lean\",\"0b3b37d9852cd89c02355ab1a3ec5c246ec4c34dc41cf253000d8cb0c7d6c2ba\",0,\"lean_workbook_plus_48090\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012395.lean\",\"1a430d032415a412f4edeabfc522fed333df895a387219491b98e10e0057b612\",0,\"lean_workbook_plus_67414\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280921,
+      "path": "data/train/pe8/oproofs-s00002-r00012392-n000004-0000-0e39ff8c8cbfa2d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0e39ff8c8cbfa2d899202661ab80171c9a07fca45ab8c0eb34d91a4f0983eb4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012396-n000004.json b/manifests/batches/oproofs/s00002-r00012396-n000004.json
index f13f66b73ac8b95aeeb282f2fa2d042d4941302e..b527b6790a8dd337755d47e3cab7a11f96e7d77e 100644
--- a/manifests/batches/oproofs/s00002-r00012396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012396-n000004",
   "batch_fingerprint": "28d41c7f79637ac029552238063a66830fb3d9fd1f3ee6e3d3eb6b3e41d415be",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012396-n000004-0000-51d0e43c284f8765.parquet",
-      "sha256": "51d0e43c284f87652ae692de1d454b89e0ff3dfd4365059938e0b13455e333bc",
-      "bytes": 953159,
-      "rows": 29,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012396-n000004-0001-e331a1e9b0fc95a9.parquet",
-      "sha256": "e331a1e9b0fc95a95f2bfd7f00e9fda3c380fc634df49d54dfea43581064c7d4",
-      "bytes": 53262,
-      "rows": 1,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12397",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012397.lean\",\"6eefee3a09428f71f5a9e5bffd4698db9fa84813e25002b43cfbb184d6ca0cc9\",0,\"lean_workbook_plus_4949\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012398.lean\",\"f862f131af1c45d53ca327c0b67196fb761ed433106baa955cf8d7af5f9248fd\",0,\"lean_workbook_42373\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012399.lean\",\"23deff91f86ea64944d8c5839c8f914d5dc11862a21639a585e5d19c5c18e150\",0,\"lean_workbook_plus_24011\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 953159,
+      "path": "data/train/p34/oproofs-s00002-r00012396-n000004-0000-51d0e43c284f8765.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "51d0e43c284f87652ae692de1d454b89e0ff3dfd4365059938e0b13455e333bc"
+    },
+    {
+      "bytes": 53262,
+      "path": "data/train/p34/oproofs-s00002-r00012396-n000004-0001-e331a1e9b0fc95a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "e331a1e9b0fc95a95f2bfd7f00e9fda3c380fc634df49d54dfea43581064c7d4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012400-n000004.json b/manifests/batches/oproofs/s00002-r00012400-n000004.json
index 893961eb609a063aa5cf9fccdf7bf778202e15e0..daf71de2c7ec5040be5919b039932b975b5bef76 100644
--- a/manifests/batches/oproofs/s00002-r00012400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012400-n000004",
   "batch_fingerprint": "2da6c5cdb2c76e8d2087014894552282f9f01a4c4497831a2522e89b3c788627",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012400-n000004-0000-c6d64e2bb5dc6448.parquet",
-      "sha256": "c6d64e2bb5dc64488292b534f03149e9a0cde9bbf7e7d1164e4aaf34fc46179b",
-      "bytes": 327710,
-      "rows": 20,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012400-n000004-0000-3b74ef99896ae185.parquet",
-      "sha256": "3b74ef99896ae185aad913959387663f6d9109582cd6b6ed7816a6f016dda74e",
-      "bytes": 190774,
-      "rows": 4,
-      "revision": "b1abf756827038b7da268cacadc0941f5fba14a5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12401",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012401.lean\",\"393ff465e43777c4307023a6780963de6c40787febe417e58f9b42532c83f316\",0,\"lean_workbook_plus_15347\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012402.lean\",\"be21619233764c38dc74fe006b7a2f2f17159e0684f2a123406a59b8cdc7e824\",0,\"lean_workbook_plus_62682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012403.lean\",\"e1e2be13d08ccab88d6d0916a7ec484f2675615f9cb60c343791fb470e34c9dc\",0,\"abs_inequality_implies_signs\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 327710,
+      "path": "data/train/p13/oproofs-s00002-r00012400-n000004-0000-c6d64e2bb5dc6448.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c6d64e2bb5dc64488292b534f03149e9a0cde9bbf7e7d1164e4aaf34fc46179b"
+    },
+    {
+      "bytes": 190774,
+      "path": "data/internal_test/p13/oproofs-s00002-r00012400-n000004-0000-3b74ef99896ae185.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3b74ef99896ae185aad913959387663f6d9109582cd6b6ed7816a6f016dda74e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012404-n000004.json b/manifests/batches/oproofs/s00002-r00012404-n000004.json
index f67018d2f0d3e1f8fde4e386673eccdf7eca2da8..eee29be1ac7a6d7ee8d5a3f36b0a151a21aeebb4 100644
--- a/manifests/batches/oproofs/s00002-r00012404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012404-n000004",
   "batch_fingerprint": "b346bd468a6af5fea5922ca32cd48e9255d41b533cab9275abd39027bd40ba3e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012404-n000004-0000-137a06d137d4c30f.parquet",
-      "sha256": "137a06d137d4c30f090cbadb67e77d1f9ae80fba3d82e3c9e92c5e41e3a6e11a",
-      "bytes": 296838,
-      "rows": 19,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012404-n000004-0000-8af79e777bb72e56.parquet",
-      "sha256": "8af79e777bb72e56928b3f8a05a95ba7f24a68a69f2da077a3ea42919fd5ed8d",
-      "bytes": 243846,
-      "rows": 12,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12405",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012405.lean\",\"dfdb969007f04b4c6695a8d37106d48e00aea91cf8d213cbdc2bb11c880d0309\",0,\"lean_workbook_plus_52200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012406.lean\",\"a6145e4a5d981312c10888ded6c4d0602b330f250169e00c20389085ffb4388a\",0,\"lean_workbook_plus_44172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012407.lean\",\"93c1fabcf08c67fa6330d2fe3a77a267781e64e8454c11f8de0fc90785167db4\",0,\"lean_workbook_plus_23489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296838,
+      "path": "data/train/p72/oproofs-s00002-r00012404-n000004-0000-137a06d137d4c30f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "137a06d137d4c30f090cbadb67e77d1f9ae80fba3d82e3c9e92c5e41e3a6e11a"
+    },
+    {
+      "bytes": 243846,
+      "path": "data/internal_test/p72/oproofs-s00002-r00012404-n000004-0000-8af79e777bb72e56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8af79e777bb72e56928b3f8a05a95ba7f24a68a69f2da077a3ea42919fd5ed8d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012408-n000004.json b/manifests/batches/oproofs/s00002-r00012408-n000004.json
index a5018598ec90e203b96771ebdd8d811ccfc087d5..162f6ba2b95e838aba66a17af80c60b78277c64b 100644
--- a/manifests/batches/oproofs/s00002-r00012408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012408-n000004",
   "batch_fingerprint": "e50d240fe64297318c322bf642ec6989298bf159bae92bb3256647a48be735b0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012408-n000004-0000-b7e017d199b011bf.parquet",
-      "sha256": "b7e017d199b011bfb125b4d8b9f16c0de5e27cf9eabc2439cf4f4aaaf4e06ec5",
-      "bytes": 351204,
-      "rows": 27,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012409.lean\",\"d594ece530f82dda5173d714bb6a7936da08acf41cd2ee345a24e34d80df185c\",0,\"lean_workbook_plus_27369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012410.lean\",\"bfce28afe48a5e1bc1740060829771346e242c63a58de23ab8eb546b4af3d64a\",0,\"lean_workbook_45172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012411.lean\",\"b739ec8d3e50c4b1b8ae6e5dfc1b59ca2e253c98e3b791ab4cd47d79b3bc8633\",0,\"lean_workbook_plus_12484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351204,
+      "path": "data/train/pd0/oproofs-s00002-r00012408-n000004-0000-b7e017d199b011bf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "b7e017d199b011bfb125b4d8b9f16c0de5e27cf9eabc2439cf4f4aaaf4e06ec5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012412-n000004.json b/manifests/batches/oproofs/s00002-r00012412-n000004.json
index ee1ad84329bc9ec2e5df2a4d72432f74b6706e4c..91091c57f5bc2d6162a2330f11b11e75fafc2c2f 100644
--- a/manifests/batches/oproofs/s00002-r00012412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012412-n000004",
   "batch_fingerprint": "9875d4094f5e609a08c7dee25b6c6d0b411ae6549626d48370503998b95c51c8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012412-n000004-0000-c362f1f34c88c344.parquet",
-      "sha256": "c362f1f34c88c344c630dc781b09f2dd355dc331d36112c5c0e60b48fca6b9d2",
-      "bytes": 351759,
-      "rows": 20,
-      "revision": "0f24fb8db2e36952c2f2558c15fa852330830362"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12413",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012413.lean\",\"5119d301f2f7c7382a755fe14198e994b868c77faa7ed4f8de36012231a99af0\",0,\"lean_workbook_plus_17117\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012414.lean\",\"a58934f0cfef9e12a947be45aa395dae4869b643922850626636707b636847c9\",0,\"lean_workbook_plus_71125\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012415.lean\",\"d6012bcd3859b868fab451143b696f2e72cc8fd93c665c5775c40a9fd2072011\",0,\"lean_workbook_plus_51266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351759,
+      "path": "data/train/p15/oproofs-s00002-r00012412-n000004-0000-c362f1f34c88c344.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c362f1f34c88c344c630dc781b09f2dd355dc331d36112c5c0e60b48fca6b9d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012416-n000004.json b/manifests/batches/oproofs/s00002-r00012416-n000004.json
index e187edd246a82a474302e87043d17902a161c039..3c7575ff4b3fd57d8bc52ae0c5fccb9c560af8cb 100644
--- a/manifests/batches/oproofs/s00002-r00012416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012416-n000004",
   "batch_fingerprint": "39afb3a56b5ab93e5f2de9aaed6a432de88dc1ebb904cfbd55bbe1fa4b067230",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012416-n000004-0000-453d865881f22997.parquet",
-      "sha256": "453d865881f22997c9c7653fd6be2a27514bfe5c7f2b64cd9f62a969c1145e45",
-      "bytes": 196518,
-      "rows": 23,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12417",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012417.lean\",\"32742394123bf290310bec04b7417bda217f7b7ceb20b6679bac2527b3ed1c8e\",0,\"lean_workbook_42683\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012418.lean\",\"e20b25309e3f91304de3f044c9210b1e0c320b61debdcd37ef112f4030e85fe2\",0,\"lean_workbook_plus_68461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012419.lean\",\"01d2d25ec38d15eb2ff7b4d8ca6cea9fe9031e1a658509e211034b64f631856e\",0,\"lean_workbook_plus_18516\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196518,
+      "path": "data/train/p93/oproofs-s00002-r00012416-n000004-0000-453d865881f22997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "453d865881f22997c9c7653fd6be2a27514bfe5c7f2b64cd9f62a969c1145e45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012420-n000004.json b/manifests/batches/oproofs/s00002-r00012420-n000004.json
index 02183d065e2da3efabbae6aaf92f31dc02b17b43..2f19bbe220e97f6b9bbfba416c72c0908e13d20d 100644
--- a/manifests/batches/oproofs/s00002-r00012420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012420-n000004",
   "batch_fingerprint": "563d4136f8ac14d31b09ca28f125a3bbd30e12a88cba292740ef1130b4c6a7a6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012420-n000004-0000-2662a53df3732acb.parquet",
-      "sha256": "2662a53df3732acbc9937889b5a83ee8f444a82e3d8114025f15d92c619602af",
-      "bytes": 622365,
-      "rows": 30,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012420-n000004-0001-fb87853a4603c2af.parquet",
-      "sha256": "fb87853a4603c2af3973273029132f0b1d0b74dc88e4e8910f4b715a5a60c948",
-      "bytes": 80513,
-      "rows": 3,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12421",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012421.lean\",\"65d98ae8d005bf1a3f41df9f9f22a6ac7625caa850f9ac66ceb740893377e34e\",0,\"lean_workbook_plus_63820\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012422.lean\",\"3e878ce33b92ce84f723ee2c5b2a001ee248e10c57d7d997c8e8d98021d0b3a6\",0,\"lean_workbook_plus_62214\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012423.lean\",\"59a43ea384a3d43aba5601eca674c3bfd56e3dcce9352bdefcfe11837b6dba3d\",0,\"lean_workbook_plus_46903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 622365,
+      "path": "data/train/pb6/oproofs-s00002-r00012420-n000004-0000-2662a53df3732acb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "2662a53df3732acbc9937889b5a83ee8f444a82e3d8114025f15d92c619602af"
+    },
+    {
+      "bytes": 80513,
+      "path": "data/train/pb6/oproofs-s00002-r00012420-n000004-0001-fb87853a4603c2af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fb87853a4603c2af3973273029132f0b1d0b74dc88e4e8910f4b715a5a60c948"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012424-n000004.json b/manifests/batches/oproofs/s00002-r00012424-n000004.json
index 7c1bc879f3fdb458a0460a23193beb6b727a336a..96560c3b52f0bf62563a543f7625a727d5959d9e 100644
--- a/manifests/batches/oproofs/s00002-r00012424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012424-n000004",
   "batch_fingerprint": "4a6025a9e50eb822d8994ac89ec6e4ada0e1c34deec1c1a4fc16a0a80ce58493",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012424-n000004-0000-a1e9fb19f471769a.parquet",
-      "sha256": "a1e9fb19f471769a5794d8c6ef6bdfa9b7ce389968c03b71e81aa0ffa1f5a1cd",
-      "bytes": 219912,
-      "rows": 13,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012425.lean\",\"eee3cb4056d18b1598d7b0230e71d5ccfe983953c71a43c49c66e6e2900345a5\",0,\"lean_workbook_plus_73850\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012426.lean\",\"8fdac330722e3142f329270d98224a18626220c2ca20c9b5ab7a9414b5019406\",0,\"lean_workbook_plus_4579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012427.lean\",\"bcdbe6545c1c024da6952253ee35a7649708db9d8016c8f1de9c2f6113dd5317\",0,\"lean_workbook_plus_78192\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219912,
+      "path": "data/train/pfc/oproofs-s00002-r00012424-n000004-0000-a1e9fb19f471769a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "a1e9fb19f471769a5794d8c6ef6bdfa9b7ce389968c03b71e81aa0ffa1f5a1cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012428-n000004.json b/manifests/batches/oproofs/s00002-r00012428-n000004.json
index 49cf8f39fd4dcb919291279ee8b370d8040af2c5..53e54b4920fd0a99faa590a11ff3fee7973c729e 100644
--- a/manifests/batches/oproofs/s00002-r00012428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012428-n000004",
   "batch_fingerprint": "1ec98baf50fd13ff91f0b19f67ff86b30beb423480d8c5b317ba3f1489248a28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012428-n000004-0000-94d605d8f90804cb.parquet",
-      "sha256": "94d605d8f90804cb307c70ad6cca7c3c79a6b091fdc9dde611dc8075529900e4",
-      "bytes": 134180,
-      "rows": 12,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12429",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012429.lean\",\"5a4f518e8585fd0d13ada11793854b00a1dc421a62657932ce56763cdd6a1ba2\",0,\"lean_workbook_45285\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012430.lean\",\"002962145fd63411af38ca2d22cdff47f493869a23a2c8911bfb6e9e7d39de9a\",0,\"lean_workbook_plus_51458\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012431.lean\",\"91e2f4fc14720c2aa23ce07156bc885a9c26a4bcd18f64ab172544d5f6d5a14b\",0,\"lean_workbook_plus_55909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134180,
+      "path": "data/train/p95/oproofs-s00002-r00012428-n000004-0000-94d605d8f90804cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "94d605d8f90804cb307c70ad6cca7c3c79a6b091fdc9dde611dc8075529900e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012432-n000004.json b/manifests/batches/oproofs/s00002-r00012432-n000004.json
index e01780cc93da82a2957d31bbcea90814f7fd8fd7..c30cc3174bdb7903254047414488b8568db443b3 100644
--- a/manifests/batches/oproofs/s00002-r00012432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012432-n000004",
   "batch_fingerprint": "ebea701bb93bf28632f23cef7a4cd557178cdf6e323f7c01c3ac4ec6ed84a2de",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012432-n000004-0000-523634bd92065d82.parquet",
-      "sha256": "523634bd92065d82e0807044ec69b9162dc08f5b930d4ce4d0705690d32d804f",
-      "bytes": 167513,
-      "rows": 16,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012433.lean\",\"314bd3d61de15e0db0459a2b1ee7346dd51caf6b68accbe8eb4aca1ea17e2959\",0,\"lean_workbook_plus_13617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012434.lean\",\"0753260863eacc4eb3c7e6bf138a7f8f686313ed29d7599e7466315571776347\",0,\"lean_workbook_plus_30571\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012435.lean\",\"2815cdf5d65d0b2e910624d21384352e95c25c03393c0e1fbc5baa63bce34090\",0,\"conference_lefthanded_ratio\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 167513,
+      "path": "data/train/p64/oproofs-s00002-r00012432-n000004-0000-523634bd92065d82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "523634bd92065d82e0807044ec69b9162dc08f5b930d4ce4d0705690d32d804f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012436-n000004.json b/manifests/batches/oproofs/s00002-r00012436-n000004.json
index b6564a5ab074f2f49eedb84570010f5ef2a105b4..54be6a65c2f7fb67258deb06c8ec2e87282bc311 100644
--- a/manifests/batches/oproofs/s00002-r00012436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012436-n000004",
   "batch_fingerprint": "cfbc5142460a25c38545b346ed26a9aa9fcc9a2580e4dbee6e54d0dd480dc334",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012436-n000004-0000-0718301d2d716aae.parquet",
-      "sha256": "0718301d2d716aae6d65c7d6d2558efbae125a7a1fe1a6b209c40ef6f21267e3",
-      "bytes": 241777,
-      "rows": 8,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012436-n000004-0000-ce6d8db9a80cce0e.parquet",
-      "sha256": "ce6d8db9a80cce0e5c758c3daf50301d5daed70acf6ef6b6e30a2ad3db26df64",
-      "bytes": 178703,
-      "rows": 2,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012437.lean\",\"b53420adec644426939d093a17685708fbea361fca65497593ada606664ac98a\",0,\"lean_workbook_plus_51060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012438.lean\",\"28cca4caac29a031f0f916baf86c3a408abce1c780ada1ea3468d242227634c5\",0,\"lean_workbook_plus_34279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012439.lean\",\"364d88def59cfcc95481779d3163ae5487f56f7e959abdc5aebd409b5366a3b9\",0,\"lean_workbook_plus_13496\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241777,
+      "path": "data/train/p84/oproofs-s00002-r00012436-n000004-0000-0718301d2d716aae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "0718301d2d716aae6d65c7d6d2558efbae125a7a1fe1a6b209c40ef6f21267e3"
+    },
+    {
+      "bytes": 178703,
+      "path": "data/internal_test/p84/oproofs-s00002-r00012436-n000004-0000-ce6d8db9a80cce0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ce6d8db9a80cce0e5c758c3daf50301d5daed70acf6ef6b6e30a2ad3db26df64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012440-n000004.json b/manifests/batches/oproofs/s00002-r00012440-n000004.json
index 7588325bb89b83e7ee12010674c2f956bf47f7da..3403a28c65e921656d201b71777ceb410fbbb859 100644
--- a/manifests/batches/oproofs/s00002-r00012440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012440-n000004",
   "batch_fingerprint": "35b394f68dfcf4b9ab5cd226ec7fdec31bc0abaf8f727fba630859da51781663",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012440-n000004-0000-3356ff759ec660b2.parquet",
-      "sha256": "3356ff759ec660b2dd1837d8000d78bdc0ff6e02473b6825c454737c2443c621",
-      "bytes": 185867,
-      "rows": 16,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012440-n000004-0000-a02188e9603a3edc.parquet",
-      "sha256": "a02188e9603a3edc5868f63acd6a176b46ca0e16e14b483a96619a416bca7a54",
-      "bytes": 55490,
-      "rows": 3,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12441",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012441.lean\",\"85ad578fc1865cc4ad9699560c3584fd6cf42fbe4942bbba29adb8ebba11537f\",0,\"lean_workbook_plus_25363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012442.lean\",\"8685e765b9caa22f802fae90016da95af9b7e0aacfd59d6c22491fcd2167301c\",0,\"lean_workbook_plus_21279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012443.lean\",\"b80d960f880c52fb4bd5cafe9b5d248f23317552ab64a650231ae8ff79384896\",0,\"lean_workbook_plus_47533\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185867,
+      "path": "data/train/p7b/oproofs-s00002-r00012440-n000004-0000-3356ff759ec660b2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3356ff759ec660b2dd1837d8000d78bdc0ff6e02473b6825c454737c2443c621"
+    },
+    {
+      "bytes": 55490,
+      "path": "data/internal_test/p7b/oproofs-s00002-r00012440-n000004-0000-a02188e9603a3edc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a02188e9603a3edc5868f63acd6a176b46ca0e16e14b483a96619a416bca7a54"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012444-n000004.json b/manifests/batches/oproofs/s00002-r00012444-n000004.json
index 3c4f6bc8c48963882fd897cdbc6a8bceb02aef76..d265ce0f85e94995e5488e5c2861f803da546b16 100644
--- a/manifests/batches/oproofs/s00002-r00012444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012444-n000004",
   "batch_fingerprint": "3f42b9502ac302dab6858be7e1931d58986d88827e3cd5ed57ccb944d5f2dc9d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012444-n000004-0000-2691f0de3a6726c7.parquet",
-      "sha256": "2691f0de3a6726c76c0a2d7a68a98f13eab16918c793ff263b9b8f578fcc6d7b",
-      "bytes": 392699,
-      "rows": 29,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012445.lean\",\"c874632ffe5f677c03627c8301e8bda7eb1d98b02b3084a1b7b9d68acccd195c\",0,\"lean_workbook_plus_60301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012446.lean\",\"5159a3ff38e4ce81657fcf6aca64e20e8a04598acff703cee94fb579dbb4859e\",0,\"lean_workbook_plus_30296\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012447.lean\",\"c3638ffecc5cb1f8cbc06b3c9c46e70f1f77c04f503fcb85803ed125cfe663f1\",0,\"derivative_range_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392699,
+      "path": "data/train/pcd/oproofs-s00002-r00012444-n000004-0000-2691f0de3a6726c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "2691f0de3a6726c76c0a2d7a68a98f13eab16918c793ff263b9b8f578fcc6d7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012448-n000004.json b/manifests/batches/oproofs/s00002-r00012448-n000004.json
index 4f4bba6cc30feb3ae00b59ce7c8892fbac4bb1a5..670c16813f318590af0834f4162f9d5dc3e204ff 100644
--- a/manifests/batches/oproofs/s00002-r00012448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012448-n000004",
   "batch_fingerprint": "115c372b29f77f992a7dd329cc2699d5f0985fa3471c5121869b26adc5647f77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012448-n000004-0000-f704833d5e48a9c1.parquet",
-      "sha256": "f704833d5e48a9c1c694d68dd3ab54eb92505e13891730d72bb53f7913e9f66d",
-      "bytes": 156877,
-      "rows": 11,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012448-n000004-0000-8f61df91c846b2a3.parquet",
-      "sha256": "8f61df91c846b2a3bec837434ab17969864951038e5c29a71b4e7974c37fbea7",
-      "bytes": 36719,
-      "rows": 2,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12449",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012449.lean\",\"6dc1231817c89b9f679168a776f3e96553037a5255eafedbb3a0549d0aa2199b\",0,\"lean_workbook_plus_56928\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012450.lean\",\"190aad0deb66452e3c89bcd20245dcbefb646137b1a6d9c95abd871fc759a414\",0,\"lean_workbook_plus_19043\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012451.lean\",\"11714816ac8b7c7220585c99e14643a50a190c5a6c31f7b81b2b872bc79398aa\",0,\"log_exp_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 156877,
+      "path": "data/train/p47/oproofs-s00002-r00012448-n000004-0000-f704833d5e48a9c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f704833d5e48a9c1c694d68dd3ab54eb92505e13891730d72bb53f7913e9f66d"
+    },
+    {
+      "bytes": 36719,
+      "path": "data/internal_test/p47/oproofs-s00002-r00012448-n000004-0000-8f61df91c846b2a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8f61df91c846b2a3bec837434ab17969864951038e5c29a71b4e7974c37fbea7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012452-n000004.json b/manifests/batches/oproofs/s00002-r00012452-n000004.json
index babc9aaa72dd13bf79400b4269077ed154da2a99..5ff385d4b14f00b77f33147f209a05658eed8bb2 100644
--- a/manifests/batches/oproofs/s00002-r00012452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012452-n000004",
   "batch_fingerprint": "8ad6a41d7d87b663fd9e09f89966d4a2fa8ad53d0121dbbfcbf6cb00b9e226a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012452-n000004-0000-ab8a2c73153d39fb.parquet",
-      "sha256": "ab8a2c73153d39fbc17126c347a78230fb8e4517ef0f277737d3a8c762da132c",
-      "bytes": 297105,
-      "rows": 22,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012453.lean\",\"1aefd1d8cb42dfe086c19635f600b7a54c6f4b98695f10c0efd52ea2d88f3b7c\",0,\"lean_workbook_2266\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012454.lean\",\"93c3fb7fa93e066f604eb302a9f9a290c25b84c25082118c80ce20366b1b5303\",0,\"lean_workbook_plus_48563\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012455.lean\",\"065dd941209d43545efab6bcb01b12a75d6192eea50e78904239538620ac83d6\",0,\"lean_workbook_plus_76107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 297105,
+      "path": "data/train/pbf/oproofs-s00002-r00012452-n000004-0000-ab8a2c73153d39fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "ab8a2c73153d39fbc17126c347a78230fb8e4517ef0f277737d3a8c762da132c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012456-n000004.json b/manifests/batches/oproofs/s00002-r00012456-n000004.json
index 8ced6fca8523e6ede7c405a3b4b88498f6e762f5..f9957890bbd4074e3f3d9bbbf8326c6b28ff028a 100644
--- a/manifests/batches/oproofs/s00002-r00012456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012456-n000004",
   "batch_fingerprint": "99034265a81875a7c99190cbb8cfb8d57a3faea0de0a8e3b7091b5397bcbd397",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012456-n000004-0000-a222bdc75ee1a4d1.parquet",
-      "sha256": "a222bdc75ee1a4d1e3973e11a7176fa217bb9a6eb2533e316b6f2c9d871fa8ca",
-      "bytes": 254003,
-      "rows": 26,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012457.lean\",\"dba3cbab59fdce93e09df7e3debd83ed9e5f4ca52320c2bc295ba80160838924\",0,\"lean_workbook_plus_67414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012458.lean\",\"afaee613b1d11b0ee8277925395150ebf663680fc588d2e92e8c8703d5792768\",0,\"lean_workbook_28691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012459.lean\",\"d51f2120a64a0510d865c57ab7b0bb58c169a2e7c1bc8a40473964c2dcb4fe05\",0,\"lean_workbook_plus_32194\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 254003,
+      "path": "data/train/pfa/oproofs-s00002-r00012456-n000004-0000-a222bdc75ee1a4d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "a222bdc75ee1a4d1e3973e11a7176fa217bb9a6eb2533e316b6f2c9d871fa8ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012460-n000004.json b/manifests/batches/oproofs/s00002-r00012460-n000004.json
index a719d7a7281793cf4231cd03424c9bcd1343c88f..4029bbdf53983f2ffc61898d9944aa0ae5064cda 100644
--- a/manifests/batches/oproofs/s00002-r00012460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012460-n000004",
   "batch_fingerprint": "2aa5c16dd2d069a6f9db0debb1f90394f74d52ee4a6a36aba865dfe95a11c91a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012460-n000004-0000-89dedd8281910401.parquet",
-      "sha256": "89dedd82819104014c48df3754f6cb0c5e0db7c542ed2594a40298daed850bf5",
-      "bytes": 205353,
-      "rows": 18,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012461.lean\",\"8a1e460c8f34b87adcafd883d746f066915e5b208305ee4094c781336bb74f97\",0,\"lean_workbook_plus_62682\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012462.lean\",\"14240cee322402f834b23a61f82309f0f9d89ee636e17c0db7b3a08bd79b3683\",0,\"lean_workbook_plus_77554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012463.lean\",\"74c720d704ba47bf91e57a6ba1977651163f63500f69e2e3ab4f11eb8ea6481b\",0,\"lean_workbook_11363\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 205353,
+      "path": "data/train/pec/oproofs-s00002-r00012460-n000004-0000-89dedd8281910401.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "89dedd82819104014c48df3754f6cb0c5e0db7c542ed2594a40298daed850bf5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012464-n000004.json b/manifests/batches/oproofs/s00002-r00012464-n000004.json
index 9d24c6a80581a3172bd8f9ac88a60d628bf0507e..45a435e9eed9e18df6ae433f69208efc8c6d6b84 100644
--- a/manifests/batches/oproofs/s00002-r00012464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012464-n000004",
   "batch_fingerprint": "0a2a99017fa3bcb1ef2e7d65101189f82f53b4b06ff582933a1e45b160e5a218",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012464-n000004-0000-0846df18b8cf5b8c.parquet",
-      "sha256": "0846df18b8cf5b8c28b282667cd64e9fc65c9d9e8635dd946eae48f586eaca77",
-      "bytes": 90127,
-      "rows": 4,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012464-n000004-0000-53b1d273f293488e.parquet",
-      "sha256": "53b1d273f293488ec7e5201e0336ff93f70f5e553170964da3d629a99223e915",
-      "bytes": 302168,
-      "rows": 15,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12465",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012465.lean\",\"f9018c0a08448da1bc6e30841ff842794e3d0c7ce848d3b09de8120c23dd1ae8\",0,\"lean_workbook_plus_52200\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012466.lean\",\"98eb1c334007dd78484db8495d3cc6b8db45886908afadd447439541478c9162\",0,\"lean_workbook_plus_23489\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012467.lean\",\"7622f2cdfd63976907d83ed4d623c9ba4d0a4b9232feaaa3acb2d33946b9beff\",0,\"complex_number_properties\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 90127,
+      "path": "data/train/p71/oproofs-s00002-r00012464-n000004-0000-0846df18b8cf5b8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0846df18b8cf5b8c28b282667cd64e9fc65c9d9e8635dd946eae48f586eaca77"
+    },
+    {
+      "bytes": 302168,
+      "path": "data/internal_test/p71/oproofs-s00002-r00012464-n000004-0000-53b1d273f293488e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "53b1d273f293488ec7e5201e0336ff93f70f5e553170964da3d629a99223e915"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012468-n000004.json b/manifests/batches/oproofs/s00002-r00012468-n000004.json
index 10fdbb8e9ccc65522f8dc46e0fd6283952139a46..030ea37cdcb34c9bfe88cebb6a9e17e014f69b53 100644
--- a/manifests/batches/oproofs/s00002-r00012468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012468-n000004",
   "batch_fingerprint": "72df381944803d0037ac3403fbbab6d655216fa7c27d167e2f63d30673cd5df8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012468-n000004-0000-de28d8481ca22696.parquet",
-      "sha256": "de28d8481ca226964b0e2ce27a4cf09c3278a075d2293c9094ee59f342a7497e",
-      "bytes": 399288,
-      "rows": 18,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12469",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012469.lean\",\"f7d53f4375d3c9b1d05d6e4df7a6f74d0c3e80a91ef238bfc633d15883bbda26\",0,\"lean_workbook_plus_28947\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012470.lean\",\"399a568a97ef9b4047b5bde48d8b529422cc2d7d7b4608fda998f5352becd1c6\",0,\"lean_workbook_plus_34212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012471.lean\",\"3265ab16bc323e4efe27ae4f5b2221061c50a4d698e439d60379066bbb6f4307\",0,\"lean_workbook_plus_12484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 399288,
+      "path": "data/train/p59/oproofs-s00002-r00012468-n000004-0000-de28d8481ca22696.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "de28d8481ca226964b0e2ce27a4cf09c3278a075d2293c9094ee59f342a7497e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012472-n000004.json b/manifests/batches/oproofs/s00002-r00012472-n000004.json
index d1ac2b97899e28377a3af996ea5e52114e2c7a5b..5857787da788fe9c26e4b1d9bf40e16c7ec7c4c6 100644
--- a/manifests/batches/oproofs/s00002-r00012472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012472-n000004",
   "batch_fingerprint": "d0315237be02e098104df964b910f8ce77241436961e427d3d4daed9d86673be",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12472",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12473",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12474",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12475"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012472.lean\",\"a84b7124569fd6047b8da2a17ae914c716d8363b678c945e0dbe34997b9e3d19\",0,\"lean_workbook_34395\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012473.lean\",\"3aa926907c96779949dfe326ad31a89eeacb6001bbcdfee076c73a4d5ee3bcf9\",0,\"lean_workbook_plus_55741\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012474.lean\",\"c061b2e4f1fc2bd50cf19cea07222f3c26c817028710e4c7cb23bbe1d6b32dab\",0,\"lean_workbook_plus_51266\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012475.lean\",\"8974c5478d38073c2947c828a4cb2d1e9c35504b61d6487f630d0df3b87258c0\",0,\"lean_workbook_plus_33706\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012472-n000004-0000-f86b5637014bec3f.parquet",
-      "sha256": "f86b5637014bec3f5a48dc41d3847cf789725a24fa8cfd024edd08b025f5c502",
       "bytes": 604732,
+      "path": "data/train/p68/oproofs-s00002-r00012472-n000004-0000-f86b5637014bec3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
+      "sha256": "f86b5637014bec3f5a48dc41d3847cf789725a24fa8cfd024edd08b025f5c502"
     },
     {
-      "path": "data/train/oproofs-s00002-r00012472-n000004-0001-7064522a3d388191.parquet",
-      "sha256": "7064522a3d388191d74bfd5b9dd9b9f07289e681feafb0250067f34199646de7",
       "bytes": 1089221,
+      "path": "data/train/p68/oproofs-s00002-r00012472-n000004-0001-7064522a3d388191.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
+      "sha256": "7064522a3d388191d74bfd5b9dd9b9f07289e681feafb0250067f34199646de7"
     },
     {
-      "path": "data/train/oproofs-s00002-r00012472-n000004-0002-81b3fbf99e1dc5a5.parquet",
-      "sha256": "81b3fbf99e1dc5a55012733b9508e379b72e2d16bddadf2af22f573368e40b45",
       "bytes": 72065,
+      "path": "data/train/p68/oproofs-s00002-r00012472-n000004-0002-81b3fbf99e1dc5a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
+      "sha256": "81b3fbf99e1dc5a55012733b9508e379b72e2d16bddadf2af22f573368e40b45"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12472",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12473",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12474",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12475"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012472.lean\",\"a84b7124569fd6047b8da2a17ae914c716d8363b678c945e0dbe34997b9e3d19\",0,\"lean_workbook_34395\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012473.lean\",\"3aa926907c96779949dfe326ad31a89eeacb6001bbcdfee076c73a4d5ee3bcf9\",0,\"lean_workbook_plus_55741\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012474.lean\",\"c061b2e4f1fc2bd50cf19cea07222f3c26c817028710e4c7cb23bbe1d6b32dab\",0,\"lean_workbook_plus_51266\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012475.lean\",\"8974c5478d38073c2947c828a4cb2d1e9c35504b61d6487f630d0df3b87258c0\",0,\"lean_workbook_plus_33706\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012476-n000004.json b/manifests/batches/oproofs/s00002-r00012476-n000004.json
index 11df701c4b00211775b6d1437a26898577fc4ced..36473f96706d3cd551b64466d91d152dae9f5ee5 100644
--- a/manifests/batches/oproofs/s00002-r00012476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012476-n000004",
   "batch_fingerprint": "927637ac9838be125632e08667853ab2ff75b0784a45e29a90d5ddc5c78cbae6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012476-n000004-0000-2d3f67cab409b0c4.parquet",
-      "sha256": "2d3f67cab409b0c461b429c241055f4bac51c1eabd0e9d681c80d925ec7dd3af",
-      "bytes": 376576,
-      "rows": 27,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012477.lean\",\"1b1ea09620f7dac95733509be08e1cc10acee6f14537650e8d91dfc2bbfd786b\",0,\"lean_workbook_plus_18516\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012478.lean\",\"3ce4cb6ae9fe0681578ad0d67ed676be59dd8aeaa619b4ec090daba7005bd7bc\",0,\"lean_workbook_plus_68461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012479.lean\",\"243f7170cd6cdb0f41d443b0380aa8d373d6f07014040ebefcb9d68716c2036a\",0,\"lean_workbook_plus_41004\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 376576,
+      "path": "data/train/p50/oproofs-s00002-r00012476-n000004-0000-2d3f67cab409b0c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "2d3f67cab409b0c461b429c241055f4bac51c1eabd0e9d681c80d925ec7dd3af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012480-n000004.json b/manifests/batches/oproofs/s00002-r00012480-n000004.json
index d34a40169ebb9370f7813f29c8704e94ea1e199c..e5ba32c46db86b52c215d4285a9ff270ce7214f1 100644
--- a/manifests/batches/oproofs/s00002-r00012480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012480-n000004",
   "batch_fingerprint": "c61e737053c4b411bb9528ba776c7078dd6e1e88729c38c90a650088f759a398",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012480-n000004-0000-11cd66347ac83eb1.parquet",
-      "sha256": "11cd66347ac83eb1b0fe84e627d29402e774616901ce801f522c9aaa7ef14cae",
-      "bytes": 947253,
-      "rows": 33,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012480-n000004-0001-f010ce72a6d5911a.parquet",
-      "sha256": "f010ce72a6d5911a88c4044c71e97c0498554530f14e238211845333e97668d1",
-      "bytes": 586652,
-      "rows": 10,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12481",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012481.lean\",\"ed44be271ec9624c48aa1b7926c9844f5b5885d107f80d0c360b9027341b6ae9\",0,\"lean_workbook_plus_62214\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012482.lean\",\"3fc9f7de299a56f2dc1e9e11ba3ae113012b7e1894a77f46dc71ab7102d4d205\",0,\"lean_workbook_plus_27158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012483.lean\",\"597a224df0efbc0b0ae071c81147028f54797166dd83d8ec72c81bf7a15429b4\",0,\"lean_workbook_42373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 947253,
+      "path": "data/train/p2d/oproofs-s00002-r00012480-n000004-0000-11cd66347ac83eb1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "11cd66347ac83eb1b0fe84e627d29402e774616901ce801f522c9aaa7ef14cae"
+    },
+    {
+      "bytes": 586652,
+      "path": "data/train/p2d/oproofs-s00002-r00012480-n000004-0001-f010ce72a6d5911a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "f010ce72a6d5911a88c4044c71e97c0498554530f14e238211845333e97668d1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012484-n000004.json b/manifests/batches/oproofs/s00002-r00012484-n000004.json
index 94b75e8c7f640ed2035f86b60a5b23f11e03c645..bbba54da1ff480d8e18c4d4f804b23f114c87912 100644
--- a/manifests/batches/oproofs/s00002-r00012484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012484-n000004",
   "batch_fingerprint": "4f497f34d65bab05e86e76bb9343f75f79e3f710f018dc0a6d5b0ef940882203",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012484-n000004-0000-45670a1ba868b6cf.parquet",
-      "sha256": "45670a1ba868b6cf01301a1be281aa14cc11078d662509594177feaf7586c8ca",
-      "bytes": 604714,
-      "rows": 29,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012485.lean\",\"e3c1dc60236acdcdcf4c43d953d555382e7e91a4de3cc3cb94b449015ec5dc1d\",0,\"lean_workbook_48598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012486.lean\",\"a6eaed592a05916955a8ee01f2987bdf58c6f745f446991cfef6f8ec344768a3\",0,\"lean_workbook_plus_46903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012487.lean\",\"6079bf1014a4f2e5d7bb9cb315d3c17195615516bace4db919257015c6285a3b\",0,\"lean_workbook_plus_4579\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 604714,
+      "path": "data/train/pec/oproofs-s00002-r00012484-n000004-0000-45670a1ba868b6cf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "45670a1ba868b6cf01301a1be281aa14cc11078d662509594177feaf7586c8ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012488-n000004.json b/manifests/batches/oproofs/s00002-r00012488-n000004.json
index e8b83d61e4d4aff68a2085363c8e615aa26d1f5d..a7ce4b6b64661e83701d67ffd0b60ef26c1012ad 100644
--- a/manifests/batches/oproofs/s00002-r00012488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012488-n000004",
   "batch_fingerprint": "ee0a6578eb5af3b875baf1453329eff093680c541fb6abaa14e432bf0e8b435c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012488-n000004-0000-3f38a0c8c1afac4b.parquet",
-      "sha256": "3f38a0c8c1afac4b34e64627f38b66cf2f1051894d80fe0160db2b6aba5cdb30",
-      "bytes": 153025,
-      "rows": 16,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012489.lean\",\"4f524a56010f4a7f9eb8c9fe8d1e68a0363db5b778df2e1024a6496ae9b1a640\",0,\"lean_workbook_plus_78192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012490.lean\",\"f1434a1fda0b4a3951e472fa94c2112475aabd77304e0948a1e536c41502e7bd\",0,\"lean_workbook_45285\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012491.lean\",\"a53576036f8354a78552ce5d45deec915f47b76f342931d73f85a7be32813de1\",0,\"lean_workbook_plus_51458\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153025,
+      "path": "data/train/p14/oproofs-s00002-r00012488-n000004-0000-3f38a0c8c1afac4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3f38a0c8c1afac4b34e64627f38b66cf2f1051894d80fe0160db2b6aba5cdb30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012492-n000004.json b/manifests/batches/oproofs/s00002-r00012492-n000004.json
index d5abefa5aee9044928608a13c24c5daafdcaf201..86e6d7b6ff8367ad1d22fd68d3875bf1732f46a0 100644
--- a/manifests/batches/oproofs/s00002-r00012492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012492-n000004",
   "batch_fingerprint": "fc69bfaca2425106f27979315da926e21d44c494f88eeacbded54ac13fc99b2f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012492-n000004-0000-9fff5340f5e329ad.parquet",
-      "sha256": "9fff5340f5e329ad42509fdc4a3ca69d4e178d36ef9b86a5a1712afaeca45ed2",
-      "bytes": 85842,
-      "rows": 13,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012493.lean\",\"3b171ebd85d9e4990e9487f2981bad00cb4e0db49d3b05a57b89bfc7b5c78879\",0,\"lean_workbook_plus_55909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012494.lean\",\"2e210617f0b7da178f45c2794e422a3a259b0a61b502a56d97bf03c52500e348\",0,\"lean_workbook_37906\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012495.lean\",\"3bf75f4d98841fc257ec5773d22576df7d8b1bd63f8038648af3432ab41cf0d8\",0,\"lean_workbook_plus_13617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85842,
+      "path": "data/train/p5d/oproofs-s00002-r00012492-n000004-0000-9fff5340f5e329ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9fff5340f5e329ad42509fdc4a3ca69d4e178d36ef9b86a5a1712afaeca45ed2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012496-n000004.json b/manifests/batches/oproofs/s00002-r00012496-n000004.json
index ba2b6ec9cab5a40818d07ddde2742f73d84ef633..b2ab9a94a69b62a2012c75253ccfbb2ca32864dd 100644
--- a/manifests/batches/oproofs/s00002-r00012496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012496-n000004",
   "batch_fingerprint": "4b6ad45e7a3f6a1671f1c457377b3b6d08172f85dc840e870076f3b1cc19ae49",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012496-n000004-0000-229aa0c407a3a46b.parquet",
-      "sha256": "229aa0c407a3a46bc555e969fc1f3ff256ecf33f7717afb0b5b279637ccad800",
-      "bytes": 124308,
-      "rows": 11,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12497",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012497.lean\",\"9661f9cef38e977f2de011c514dfa2d42f3a7f214a808dce6b515e3c4fa71e67\",0,\"lean_workbook_plus_29383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012498.lean\",\"c29746a079f45fd0e13d37cb351911c2332206bd139d6d130d584d327fb78800\",0,\"lean_workbook_plus_47738\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012499.lean\",\"5f4b57f52c61dc4151a3fb5fb27bb0b77099606a7942c72a7385169a7328bbdd\",0,\"lean_workbook_plus_68038\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 124308,
+      "path": "data/train/p88/oproofs-s00002-r00012496-n000004-0000-229aa0c407a3a46b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "229aa0c407a3a46bc555e969fc1f3ff256ecf33f7717afb0b5b279637ccad800"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012500-n000004.json b/manifests/batches/oproofs/s00002-r00012500-n000004.json
index 191a9289d5dc73907225bc8833b462141574c585..5010279c0d035619692d2a74678af10eb793352e 100644
--- a/manifests/batches/oproofs/s00002-r00012500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012500-n000004",
   "batch_fingerprint": "8deb899d26d7473011deb453d5a66795c5f7ad80b4011dff2f68bbefc5e6b222",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012500-n000004-0000-24f1145e39ba8c06.parquet",
-      "sha256": "24f1145e39ba8c0693c8eee1c39ad208ae8b31a5d69d5d18294aa50f680cf073",
-      "bytes": 523814,
-      "rows": 25,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012501.lean\",\"3176fdaaab0f7fc2e081b0ee2b6f7dd2b4182a27aeb40aa04208003d547e521b\",0,\"lean_workbook_plus_25386\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012502.lean\",\"11174363b85ecedaa4f7606ed56cb536cc07b88adf855492cdb99ad57f297047\",0,\"lean_workbook_plus_47533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012503.lean\",\"fe6a3b79c95d92e8cccaecd1f58105a92f9e33d7cf43f5752b83eb72be330c00\",0,\"lean_workbook_plus_80396\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523814,
+      "path": "data/train/p78/oproofs-s00002-r00012500-n000004-0000-24f1145e39ba8c06.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "24f1145e39ba8c0693c8eee1c39ad208ae8b31a5d69d5d18294aa50f680cf073"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012504-n000004.json b/manifests/batches/oproofs/s00002-r00012504-n000004.json
index abda4542faaca50a5e3bb6032e501506bdb1514e..e165f0b15a215f694e3c4869b7d14c7ede3c6933 100644
--- a/manifests/batches/oproofs/s00002-r00012504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012504-n000004",
   "batch_fingerprint": "0b393b9b5197a9df701b58c6c3a24619e9c8925c264c387433298f8ff99f1838",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012504-n000004-0000-120de265cdba40d6.parquet",
-      "sha256": "120de265cdba40d6caf28d3c35357280ac888401d40d02265db220abe7c6eded",
-      "bytes": 373874,
-      "rows": 20,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12505",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012505.lean\",\"f76835c8b00928dd33b045ff24691b84a4946b6dc271a5bd68d7732b8bdc3320\",0,\"lean_workbook_plus_15306\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012506.lean\",\"69ce8a0c300cf394579669aef37de1296b3164f769e710be6e8243517205ff0e\",0,\"lean_workbook_plus_21279\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012507.lean\",\"c4305288b4a42792f206830359ea4444036352168d0b7ca62ea2000180190833\",0,\"lean_workbook_plus_61290\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 373874,
+      "path": "data/train/p18/oproofs-s00002-r00012504-n000004-0000-120de265cdba40d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "120de265cdba40d6caf28d3c35357280ac888401d40d02265db220abe7c6eded"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012508-n000004.json b/manifests/batches/oproofs/s00002-r00012508-n000004.json
index 4275fb57982051cb5679de237041682b1eb46d9f..fe6c2688e76afbe21a9415bfd011648be4f78d1c 100644
--- a/manifests/batches/oproofs/s00002-r00012508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012508-n000004",
   "batch_fingerprint": "a0922ad4f459ae61dbafb58b92acc933e0719bbc53ca413fc8c161f8273d0edf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012508-n000004-0000-f578c75b77b5dda1.parquet",
-      "sha256": "f578c75b77b5dda1ce6b56a49ba4e7fc4ff968abd8763b78c9d88923cd51f613",
-      "bytes": 312731,
-      "rows": 16,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012508-n000004-0000-24e53f8e4748550c.parquet",
-      "sha256": "24e53f8e4748550c264d19f65e6fb71f3a035cefc443016539f5337ff34cd0f6",
-      "bytes": 37910,
-      "rows": 3,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012509.lean\",\"29e1bdd4c0b5054a618809e9bc5ced3f51b91c636b81be940c7ffc2437104390\",0,\"derivative_range_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012510.lean\",\"fdf1cf0a3a8182d5ec6a8f59c342c5ca7b1b6399ba0cd8f5357a2e8fcaeb5bc8\",0,\"lean_workbook_plus_60301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012511.lean\",\"2d49c1727ca7ee1d7379773be2608b9cfd6ce6dff631dd36e3e6b56b207f6a87\",0,\"lean_workbook_53534\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 312731,
+      "path": "data/train/pab/oproofs-s00002-r00012508-n000004-0000-f578c75b77b5dda1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f578c75b77b5dda1ce6b56a49ba4e7fc4ff968abd8763b78c9d88923cd51f613"
+    },
+    {
+      "bytes": 37910,
+      "path": "data/internal_test/pab/oproofs-s00002-r00012508-n000004-0000-24e53f8e4748550c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "24e53f8e4748550c264d19f65e6fb71f3a035cefc443016539f5337ff34cd0f6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012512-n000004.json b/manifests/batches/oproofs/s00002-r00012512-n000004.json
index 447e1d60771482776592e1caca9d020cd3e39c86..25830a534e3b6e70f6daf729aaa5bed75795a41a 100644
--- a/manifests/batches/oproofs/s00002-r00012512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012512-n000004",
   "batch_fingerprint": "415fb9c87474fdf8d2b388f5dd0005cbad813d77c47d44a56db2d0e343a0b298",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012512-n000004-0000-dc5f84708d51ece6.parquet",
-      "sha256": "dc5f84708d51ece6a5091f1330c9e2a5b5faaa0d6afb84130bc6ef1536cb7554",
-      "bytes": 363289,
-      "rows": 21,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12513",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012513.lean\",\"cca5f1c364ae27f2ec77de055a7a4b8130d776a168a06d0c3de26481e1a04146\",0,\"lean_workbook_plus_13496\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012514.lean\",\"2454873e0b4217bee26d10dce279594e614eed45167746721d09d5a195796aed\",0,\"lean_workbook_plus_76107\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012515.lean\",\"989e5d04b101dd98c7630accd964771b08ca77987202757947d8d8bc477374e5\",0,\"lean_workbook_plus_48563\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363289,
+      "path": "data/train/pe4/oproofs-s00002-r00012512-n000004-0000-dc5f84708d51ece6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "dc5f84708d51ece6a5091f1330c9e2a5b5faaa0d6afb84130bc6ef1536cb7554"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012516-n000004.json b/manifests/batches/oproofs/s00002-r00012516-n000004.json
index 6dc9a4efb26a7a4c41f1a17ae67bf666da1ab73c..01eaf0d9198e13bb49d45e7dc1f033a2f6494e5b 100644
--- a/manifests/batches/oproofs/s00002-r00012516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012516-n000004",
   "batch_fingerprint": "1606f42648dcd0c3f712470da958b6c143cd0bc6a284c56792fbb051b7de75c5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012516-n000004-0000-b5c60a4b15bbd827.parquet",
-      "sha256": "b5c60a4b15bbd827b18563c45f51f6db81287e257bbed77b2b7499bfc6decb07",
-      "bytes": 464654,
-      "rows": 28,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012517.lean\",\"b369797aa6397f53be1445573547c5c232eb017f21b61fbf4bec2701fd1e55a8\",0,\"lean_workbook_28691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012518.lean\",\"acd2842d9c64e314746a0e4003d8934bf684ae6e88bed18865d93d1656a0d9ec\",0,\"lean_workbook_plus_15347\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012519.lean\",\"8224033fa24e4b8263e941637483d17a50c38436c50c481fc36a07730b1c40e4\",0,\"lean_workbook_plus_62682\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 464654,
+      "path": "data/train/pad/oproofs-s00002-r00012516-n000004-0000-b5c60a4b15bbd827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "b5c60a4b15bbd827b18563c45f51f6db81287e257bbed77b2b7499bfc6decb07"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012520-n000004.json b/manifests/batches/oproofs/s00002-r00012520-n000004.json
index d1f2b3278ab3fbadbd658c3947a059f21aa791f1..d29c863bc72c89b574928e4149a319b6e4625853 100644
--- a/manifests/batches/oproofs/s00002-r00012520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012520-n000004",
   "batch_fingerprint": "ff3b7c8e666fb95e276e42a75d47725288dae1ce79efcbf626a32a39452e9c7a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012520-n000004-0000-629ddcd7dc237b71.parquet",
-      "sha256": "629ddcd7dc237b7110d9c428e4abeb3b7cdc5782ee22800d7fc41bf61194f35a",
-      "bytes": 235145,
-      "rows": 15,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012520-n000004-0000-ff0e968c38340384.parquet",
-      "sha256": "ff0e968c38340384987be557ce77d5851d1f76412b34af544b357b1ac302fa33",
-      "bytes": 105915,
-      "rows": 4,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012521.lean\",\"8500e23870a585a348ecb4c096efc498deaea4d4ddf496ed782cd12c828b7d0d\",0,\"lean_workbook_plus_77554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012522.lean\",\"f14bafe0b5cd3d54e0e16692ada58969a812f6831391aa2b5c6747f07e0b0206\",0,\"lean_workbook_11363\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012523.lean\",\"00a75bd4acdfab3a17c3989e154ddb124aded93733c2357c2145cc36dcd532e1\",0,\"lean_workbook_plus_23489\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235145,
+      "path": "data/train/p62/oproofs-s00002-r00012520-n000004-0000-629ddcd7dc237b71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "629ddcd7dc237b7110d9c428e4abeb3b7cdc5782ee22800d7fc41bf61194f35a"
+    },
+    {
+      "bytes": 105915,
+      "path": "data/internal_test/p62/oproofs-s00002-r00012520-n000004-0000-ff0e968c38340384.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "ff0e968c38340384987be557ce77d5851d1f76412b34af544b357b1ac302fa33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012524-n000004.json b/manifests/batches/oproofs/s00002-r00012524-n000004.json
index f0c6f9686f4b36ec96b1d72292dbbcb56b59684b..1fe6d12cb7340d157a9b96344bc68f9e49cd1f6e 100644
--- a/manifests/batches/oproofs/s00002-r00012524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012524-n000004",
   "batch_fingerprint": "1fd3256b05d9b1b8d91ab297e312370f94cdd0f203771eb2418c588833957f24",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012524-n000004-0000-7dbf6a3b895b9b58.parquet",
-      "sha256": "7dbf6a3b895b9b58bb5e8d696fb42bc025363a8e5d4e4b31324f50faf5990fe7",
-      "bytes": 202627,
-      "rows": 12,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012525.lean\",\"629c16a062682f03e7859a8143bf0d4dc909489cfcd45bf707f623103f410e3a\",0,\"complex_number_properties\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012526.lean\",\"848fc4ab1d1a3abf417863bd68a8f81ad0486ce68453ef4873dd8c9ebe8479e8\",0,\"lean_workbook_45172\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012527.lean\",\"e9c00288e54298e5f6d559ef59f3aac0f5d7ce18e5f7ede07a51be0393d59efe\",0,\"lean_workbook_plus_28947\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202627,
+      "path": "data/train/p08/oproofs-s00002-r00012524-n000004-0000-7dbf6a3b895b9b58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "7dbf6a3b895b9b58bb5e8d696fb42bc025363a8e5d4e4b31324f50faf5990fe7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012528-n000004.json b/manifests/batches/oproofs/s00002-r00012528-n000004.json
index 771230596a5e868446b7f74173f6f65383a68521..94ae15c95ba3295cd5f9c552a2f2e9b73b2854af 100644
--- a/manifests/batches/oproofs/s00002-r00012528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012528-n000004",
   "batch_fingerprint": "0c50d1da2c43714346e90d529438014f2019fcea14129b8dfe190feef30b3d4b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012528-n000004-0000-e4686bb681312ae9.parquet",
-      "sha256": "e4686bb681312ae93ddce867f5bab9cb4de8f78195052d7d98d9be7d7bd6705e",
-      "bytes": 317124,
-      "rows": 20,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012529.lean\",\"8803db0269e05f99f765cf88acabc4ade612462d97ed673594ab5fb4c9947a73\",0,\"lean_workbook_plus_12484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012530.lean\",\"73af5a51e64e3ec22226acb8cbaa16c82fb5a5a937a340ac606e12db0641ceb8\",0,\"lean_workbook_plus_33706\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012531.lean\",\"89811d639f53c9e17829fb6461321ef00ab154c131ed97bc82bf56171d9c32b8\",0,\"lean_workbook_plus_51266\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 317124,
+      "path": "data/train/pdb/oproofs-s00002-r00012528-n000004-0000-e4686bb681312ae9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e4686bb681312ae93ddce867f5bab9cb4de8f78195052d7d98d9be7d7bd6705e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012532-n000004.json b/manifests/batches/oproofs/s00002-r00012532-n000004.json
index 8db483a99ddbecf631bee701619b79d2930b287f..78171dd53e26bfea50fb3d5f3a78bc3e6c4c7f5b 100644
--- a/manifests/batches/oproofs/s00002-r00012532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012532-n000004",
   "batch_fingerprint": "97912329d749d64b44d10692414a8a10f4367e1058f961400b7a68f9e89a2d09",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012532-n000004-0000-786741e641edfd22.parquet",
-      "sha256": "786741e641edfd2224fd88635e395b9c0a1acf8d1ad808f84cf707c641ba393d",
-      "bytes": 378977,
-      "rows": 21,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012533.lean\",\"d5b1dc4cda040336539ca72225178a05865914275cad10eff1863b2ef6fdcb9d\",0,\"lean_workbook_plus_18160\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012534.lean\",\"e46a7d87ed5ac823cf25282e0f1ad40543f5aa9ba94d3272943d61dda384e51c\",1,\"equation_one_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012535.lean\",\"bc88af17b3c2eb943ef20cf1fd8a8c58c1c8080da6692bf158abb400d2ea0a8d\",0,\"lean_workbook_plus_18516\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 378977,
+      "path": "data/train/pc0/oproofs-s00002-r00012532-n000004-0000-786741e641edfd22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "786741e641edfd2224fd88635e395b9c0a1acf8d1ad808f84cf707c641ba393d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012536-n000004.json b/manifests/batches/oproofs/s00002-r00012536-n000004.json
index 425f69477d25eb95cbeedd951c132efc32fcb556..b4b8c42ab88d86cc7915a18b9de7160864b06671 100644
--- a/manifests/batches/oproofs/s00002-r00012536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012536-n000004",
   "batch_fingerprint": "3fb7cf0015b20b6d87b0a19ccccb70363ba604d3daa471287a628a3e3a978edb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012536-n000004-0000-2e654a13c6eccc88.parquet",
-      "sha256": "2e654a13c6eccc88d74c07783afe382aded2ed39a1ccd51a417d7958b4ca501d",
-      "bytes": 510391,
-      "rows": 17,
-      "revision": "b703be18e4624c816587704e189d31e8019458b7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12537",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012537.lean\",\"a8aba2e5a1b796493b9c36208b2bb6913d84776040868294fb3ba130d47fdd62\",0,\"lean_workbook_42683\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012538.lean\",\"a77512d9e391bd3fcc40872c07c4451ce49334c6af74455d860c83cd32c54988\",0,\"lean_workbook_plus_22321\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012539.lean\",\"1e7f9cd01df21a15aefc6a546d4926b1c878f67ecb29b359cf1a397c982987d7\",0,\"lean_workbook_plus_71258\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 510391,
+      "path": "data/train/p7d/oproofs-s00002-r00012536-n000004-0000-2e654a13c6eccc88.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2e654a13c6eccc88d74c07783afe382aded2ed39a1ccd51a417d7958b4ca501d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012540-n000004.json b/manifests/batches/oproofs/s00002-r00012540-n000004.json
index 4b8ab9be8d996ef924c9625b5e9cc03fbfaff968..6b6de1797c98c5b151bdceb95f1228e5fb054239 100644
--- a/manifests/batches/oproofs/s00002-r00012540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012540-n000004",
   "batch_fingerprint": "77453567bc04b8967cd97dfacb6cbd0723c0a5843c6cf2a645698d26758ef4bb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012540-n000004-0000-4381305c11d8f87f.parquet",
-      "sha256": "4381305c11d8f87fe9550c011f7fb2f0930fbd39bf54bca56fcafbceb7c53783",
-      "bytes": 770042,
-      "rows": 45,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012540-n000004-0001-2da91ecc2fc9ba23.parquet",
-      "sha256": "2da91ecc2fc9ba2376e14df46bb09c3cceeaa6db4c3b5768c09d3b8e76265f70",
-      "bytes": 900039,
-      "rows": 6,
-      "revision": "ba01d3186e4faa0bdc4c5f5285ce9ce387bb6869"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12541",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012541.lean\",\"f8f43617a42247d7fd965d8dda042372c99fb848e7cd92407ed04a151f4d4588\",0,\"lean_workbook_plus_27158\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012542.lean\",\"fc4d86149895f786d91a296fa826c91a4b1fe1519e57d6b713d4113d5cf80cb8\",0,\"lean_workbook_48598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012543.lean\",\"ec0eacb81d59270caeeefc423a1ac0884ef907028b792db09a68e83edc58c1b7\",0,\"lean_workbook_plus_62214\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 770042,
+      "path": "data/train/p9f/oproofs-s00002-r00012540-n000004-0000-4381305c11d8f87f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 45,
+      "sha256": "4381305c11d8f87fe9550c011f7fb2f0930fbd39bf54bca56fcafbceb7c53783"
+    },
+    {
+      "bytes": 900039,
+      "path": "data/train/p9f/oproofs-s00002-r00012540-n000004-0001-2da91ecc2fc9ba23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2da91ecc2fc9ba2376e14df46bb09c3cceeaa6db4c3b5768c09d3b8e76265f70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012544-n000004.json b/manifests/batches/oproofs/s00002-r00012544-n000004.json
index 44a49e01e3d55c5dc428375fc61e447d0dde779e..a1ff914ab5b15f5d6d3ac35d4231630416db3f55 100644
--- a/manifests/batches/oproofs/s00002-r00012544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012544-n000004",
   "batch_fingerprint": "a66c9c5d671c08efe76553cc091a053430065e5be206b3b8d6b0307cdc6159fa",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012544-n000004-0000-0efd97c1d12ad97f.parquet",
-      "sha256": "0efd97c1d12ad97f5ebc57d383e201f511fd654ec06e27cf9dfb21d04c17cf0a",
-      "bytes": 209760,
-      "rows": 12,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12546",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012544.lean\",\"3260a20d8ab4cb6b21fbf08487930418003eed06386a21a1d03288a81a328b4f\",0,\"lean_workbook_42373\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012546.lean\",\"1b02a348c549331565aeaa72e1f96b729364d243a5646545030d52f699f3f4ca\",0,\"lean_workbook_1637\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012547.lean\",\"e569655faee8dbc960babbd7828d79fa66b6a59f2a9e51aac2a0f9d2d964fc13\",0,\"lean_workbook_plus_33452\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209760,
+      "path": "data/train/pe8/oproofs-s00002-r00012544-n000004-0000-0efd97c1d12ad97f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0efd97c1d12ad97f5ebc57d383e201f511fd654ec06e27cf9dfb21d04c17cf0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012548-n000004.json b/manifests/batches/oproofs/s00002-r00012548-n000004.json
index 7b07efd4590b518ceb8c2f4fb7d941a840c024bb..983fadaddad50b4a20ea414605ab42fa6f034716 100644
--- a/manifests/batches/oproofs/s00002-r00012548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012548-n000004",
   "batch_fingerprint": "5343401220678de9cf551b38709eb88fab63443425fe1053504feaaeda844056",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012548-n000004-0000-f5bd1adbb0904795.parquet",
-      "sha256": "f5bd1adbb0904795de24bbeaf5b379e815e30ac7148c0d56ce32380ab0f5fa5a",
-      "bytes": 62759,
-      "rows": 11,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012548-n000004-0000-108bd8cb53a56cb3.parquet",
-      "sha256": "108bd8cb53a56cb3ed30ff0ca3583a43e1bc01df55f86380c595c49aeb58b8d3",
-      "bytes": 50659,
-      "rows": 5,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12549",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012549.lean\",\"e3c6ee2df9ae62197936dafe396e98bd4cdf2e9ebcc3d2c4f55e1e9449694da2\",0,\"lean_workbook_plus_1161\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012550.lean\",\"50618ceee35e8c5bb548ef581fe5246e5cc3a20cc3ac17ce33adc07b6f6a9238\",0,\"lean_workbook_plus_72383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012551.lean\",\"c9aa99008dc76b83ac86b82001ad0b0ce688171ca1ebb82c7c4cf06dcaf4a544\",0,\"lean_workbook_plus_7282\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62759,
+      "path": "data/train/p37/oproofs-s00002-r00012548-n000004-0000-f5bd1adbb0904795.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f5bd1adbb0904795de24bbeaf5b379e815e30ac7148c0d56ce32380ab0f5fa5a"
+    },
+    {
+      "bytes": 50659,
+      "path": "data/internal_test/p37/oproofs-s00002-r00012548-n000004-0000-108bd8cb53a56cb3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "108bd8cb53a56cb3ed30ff0ca3583a43e1bc01df55f86380c595c49aeb58b8d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012552-n000004.json b/manifests/batches/oproofs/s00002-r00012552-n000004.json
index ea27d06115278f423711f1994adc064d2d000e3b..dd85e189288c6c8a1d891563674480916efcfb90 100644
--- a/manifests/batches/oproofs/s00002-r00012552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012552-n000004",
   "batch_fingerprint": "7ba1e7d101512df3c7c7c38383e0d8f5ea26cc4d7be6e6ae4e6bb8345e756bc5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012552-n000004-0000-4969d6132b1768b6.parquet",
-      "sha256": "4969d6132b1768b6d0c68eea0f642fa6200565ecc85d55f995fdd6a53716436e",
-      "bytes": 110362,
-      "rows": 8,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012552-n000004-0000-0cdefb602332030c.parquet",
-      "sha256": "0cdefb602332030c6ba5cece46b4295a675d8da0d6886e3e27ccd8a915759f0e",
-      "bytes": 124103,
-      "rows": 4,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012553.lean\",\"058c771d363116fbee3c3deacd6110bb641314c0176ef54e5583dba68019a051\",0,\"lean_workbook_plus_44312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012554.lean\",\"8b1d6c4ca85680fb4c31c9d2f8622ccc8b60e6c1fbae2d57e933c0065cc4da97\",0,\"lean_workbook_plus_66012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012555.lean\",\"ed4144482ad99e7d4b317d8d5c646a527425fbfe6efbcac3283d6740e40a4184\",0,\"lean_workbook_plus_57083\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110362,
+      "path": "data/train/p75/oproofs-s00002-r00012552-n000004-0000-4969d6132b1768b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "4969d6132b1768b6d0c68eea0f642fa6200565ecc85d55f995fdd6a53716436e"
+    },
+    {
+      "bytes": 124103,
+      "path": "data/dev/p75/oproofs-s00002-r00012552-n000004-0000-0cdefb602332030c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0cdefb602332030c6ba5cece46b4295a675d8da0d6886e3e27ccd8a915759f0e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012556-n000004.json b/manifests/batches/oproofs/s00002-r00012556-n000004.json
index 4fafc037680d2c54acb4698e9ee9b4598357760d..2192e61be0a23c155cd3ab97321576572bd7aa54 100644
--- a/manifests/batches/oproofs/s00002-r00012556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012556-n000004",
   "batch_fingerprint": "09d62a22aaf6a7c7cd907826d420859744042475659ce0e8384c72acae0a2c44",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12556",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12557",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12558",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12559"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012556.lean\",\"f06aca133aab332513184581e62959264f5f0954f069a1e3e88f05c3cfaf554d\",0,\"lean_workbook_28804\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012557.lean\",\"4633842990b1d887a921c3d58073d874c35a1d4c949284855d06ec588435a6be\",0,\"lean_workbook_plus_18222\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012558.lean\",\"f4b69aa53f849f7e71fd0446f03f43f219718761356c048903e56f102cf9b338\",0,\"lean_workbook_plus_41135\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012559.lean\",\"48d8a4c1cc615560f1ad4c9932c57d45ef106275a0e34ad434bd39b9fab2a25c\",0,\"solid_volume\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012556-n000004-0000-783268e316f37499.parquet",
-      "sha256": "783268e316f374996a4fb0d188f7d16e5f05ba94d3b24513eced2db3b000a63d",
       "bytes": 53838,
+      "path": "data/train/p83/oproofs-s00002-r00012556-n000004-0000-783268e316f37499.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "783268e316f374996a4fb0d188f7d16e5f05ba94d3b24513eced2db3b000a63d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012556-n000004-0000-f0d4bea5af77e789.parquet",
-      "sha256": "f0d4bea5af77e789ce35ba308fc418fd6f1ea4ea034f811591fe33332de59940",
       "bytes": 102304,
+      "path": "data/dev/p83/oproofs-s00002-r00012556-n000004-0000-f0d4bea5af77e789.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "f0d4bea5af77e789ce35ba308fc418fd6f1ea4ea034f811591fe33332de59940"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012556-n000004-0000-e3233737591a2e71.parquet",
-      "sha256": "e3233737591a2e71370b995dbe7b317cd1b49c056031b0dc9951eb1975c6c6a7",
       "bytes": 75690,
+      "path": "data/internal_test/p83/oproofs-s00002-r00012556-n000004-0000-e3233737591a2e71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "e3233737591a2e71370b995dbe7b317cd1b49c056031b0dc9951eb1975c6c6a7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12556",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12557",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12558",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12559"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012556.lean\",\"f06aca133aab332513184581e62959264f5f0954f069a1e3e88f05c3cfaf554d\",0,\"lean_workbook_28804\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012557.lean\",\"4633842990b1d887a921c3d58073d874c35a1d4c949284855d06ec588435a6be\",0,\"lean_workbook_plus_18222\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012558.lean\",\"f4b69aa53f849f7e71fd0446f03f43f219718761356c048903e56f102cf9b338\",0,\"lean_workbook_plus_41135\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012559.lean\",\"48d8a4c1cc615560f1ad4c9932c57d45ef106275a0e34ad434bd39b9fab2a25c\",0,\"solid_volume\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012560-n000004.json b/manifests/batches/oproofs/s00002-r00012560-n000004.json
index d7966fd67276d39b70ddb52f1ff7d15e2cd727da..5a09204c8bef6be5a4f9fa00ccc52c997878b3d2 100644
--- a/manifests/batches/oproofs/s00002-r00012560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012560-n000004",
   "batch_fingerprint": "5650d667b70c167770020cdb5a4c2f9efeb2c615177697c89afd473fd20e9a29",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12560",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12561",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12562",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12563"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012560.lean\",\"2b528ea5e102e05b141d3323d90db9a2c2ade583ab7fe5b537b82154f90115ff\",0,\"lean_workbook_plus_8928\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012561.lean\",\"6cb666c091ca37bfb3d43a0fcb87b2d952c55f8dc2da3fdae28d741a6316233c\",0,\"lean_workbook_plus_40748\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012562.lean\",\"8b3f12e9f01a08954dae49c9ddeaaca6302b36e478a0d1cde4e84f6801555d4b\",0,\"lean_workbook_plus_11815\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012563.lean\",\"cdb4681bd4af35ebd781f76ccadcc050955f6cff4232ef1fd45a28f89610b789\",0,\"lean_workbook_plus_21327\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012560-n000004-0000-5dba718909d25e85.parquet",
-      "sha256": "5dba718909d25e85197f5563cef099d279eb3e5f3e32018ca0191a50dddaae55",
       "bytes": 147539,
+      "path": "data/train/p6f/oproofs-s00002-r00012560-n000004-0000-5dba718909d25e85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "5dba718909d25e85197f5563cef099d279eb3e5f3e32018ca0191a50dddaae55"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012560-n000004-0000-4552a9b3d266ccc9.parquet",
-      "sha256": "4552a9b3d266ccc9428a57202718b24f95b8af14758d9c2584de92fef3c27b53",
       "bytes": 34239,
+      "path": "data/dev/p6f/oproofs-s00002-r00012560-n000004-0000-4552a9b3d266ccc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "4552a9b3d266ccc9428a57202718b24f95b8af14758d9c2584de92fef3c27b53"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012560-n000004-0000-94e2eebdfde769db.parquet",
-      "sha256": "94e2eebdfde769db4a0e333861d0598cbdd8e1a2c2eb061cf7554306e82cd3dc",
       "bytes": 60780,
+      "path": "data/internal_test/p6f/oproofs-s00002-r00012560-n000004-0000-94e2eebdfde769db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "94e2eebdfde769db4a0e333861d0598cbdd8e1a2c2eb061cf7554306e82cd3dc"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12560",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12561",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12562",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12563"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012560.lean\",\"2b528ea5e102e05b141d3323d90db9a2c2ade583ab7fe5b537b82154f90115ff\",0,\"lean_workbook_plus_8928\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012561.lean\",\"6cb666c091ca37bfb3d43a0fcb87b2d952c55f8dc2da3fdae28d741a6316233c\",0,\"lean_workbook_plus_40748\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012562.lean\",\"8b3f12e9f01a08954dae49c9ddeaaca6302b36e478a0d1cde4e84f6801555d4b\",0,\"lean_workbook_plus_11815\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012563.lean\",\"cdb4681bd4af35ebd781f76ccadcc050955f6cff4232ef1fd45a28f89610b789\",0,\"lean_workbook_plus_21327\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012564-n000004.json b/manifests/batches/oproofs/s00002-r00012564-n000004.json
index 7f1185e2774fee89550a199f26c6892df3ba5616..0aad2dc94af3d70efd887fc6bef47fc5328ea796 100644
--- a/manifests/batches/oproofs/s00002-r00012564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012564-n000004",
   "batch_fingerprint": "034ffbdb850dc2421f5b28c390d01d5fd90dccc2e2e9d5c1b38050ec06caaee7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012564-n000004-0000-d3cdd2503edfa0c9.parquet",
-      "sha256": "d3cdd2503edfa0c9ac4acd4c1077d01082811c1cf8412ec6e925bdb37f5733de",
-      "bytes": 275226,
-      "rows": 20,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012564-n000004-0000-7665832f64a59f9e.parquet",
-      "sha256": "7665832f64a59f9ea81122a8d4d9ea0089e01cb0e0c4c7aaa0b882ad8b80c0b5",
-      "bytes": 72777,
-      "rows": 6,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012565.lean\",\"9068b6f79814cc7d3a324ca052e49b8ccf09eea8fcd6cbc43e162553f72c789b\",0,\"lean_workbook_32775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012566.lean\",\"1a6b067e7b279e4a289f79be0692cf505c0579c93dd855e9af247c010a99ea51\",0,\"lean_workbook_plus_30946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012567.lean\",\"52d0ef125b4e4cc8ab04d6dc3c58c60842e8a4062d7e555b58a27360bbc36d67\",0,\"lean_workbook_16829\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275226,
+      "path": "data/train/p61/oproofs-s00002-r00012564-n000004-0000-d3cdd2503edfa0c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d3cdd2503edfa0c9ac4acd4c1077d01082811c1cf8412ec6e925bdb37f5733de"
+    },
+    {
+      "bytes": 72777,
+      "path": "data/internal_test/p61/oproofs-s00002-r00012564-n000004-0000-7665832f64a59f9e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "7665832f64a59f9ea81122a8d4d9ea0089e01cb0e0c4c7aaa0b882ad8b80c0b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012568-n000004.json b/manifests/batches/oproofs/s00002-r00012568-n000004.json
index 31d66ef488240df9fbd191630f6821a8b1d54cdc..41a2932ee02bd76b588c8874b613006d6a1734e6 100644
--- a/manifests/batches/oproofs/s00002-r00012568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012568-n000004",
   "batch_fingerprint": "8d5118bc5ddcbde3432a3dcda71fd80bf51aa59232c96daffdc30df170d884d2",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12568",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12569",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12570",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12571"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012568.lean\",\"cff6f6905d53298c207811b426e59a855759598e2155547287a92faf6d4dfe48\",0,\"lean_workbook_54369\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012569.lean\",\"6cc138c5fb467bfdedadf9424933f03ec30bd53a1b1b35c183f29590953abf59\",0,\"lean_workbook_plus_76373\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012570.lean\",\"a3f1926a47f10196616b2eb50a6c5351b5069c69f75b37b6904ffd7e7bf79b1c\",0,\"lean_workbook_plus_56938\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012571.lean\",\"caa34964856c211c31f085e5d6a75960724545d103f42145575867cc009431e3\",0,\"lean_workbook_plus_70045\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012568-n000004-0000-a9430d84e502be85.parquet",
-      "sha256": "a9430d84e502be8521bc00bcce539bbd56c9d588451976da464d94c7f2f3364e",
       "bytes": 82486,
+      "path": "data/train/pcd/oproofs-s00002-r00012568-n000004-0000-a9430d84e502be85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "a9430d84e502be8521bc00bcce539bbd56c9d588451976da464d94c7f2f3364e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012568-n000004-0000-f4efd43a70f24b1e.parquet",
-      "sha256": "f4efd43a70f24b1e203303d8b3fee0c6e758e5003703977b80ec103d832734a1",
       "bytes": 141490,
+      "path": "data/dev/pcd/oproofs-s00002-r00012568-n000004-0000-f4efd43a70f24b1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "f4efd43a70f24b1e203303d8b3fee0c6e758e5003703977b80ec103d832734a1"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012568-n000004-0000-8aa869219facf701.parquet",
-      "sha256": "8aa869219facf701d6ad5eda95f5d0a867a031d46dbc2f67ca43a802f9bb4dc0",
       "bytes": 37837,
+      "path": "data/internal_test/pcd/oproofs-s00002-r00012568-n000004-0000-8aa869219facf701.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "8aa869219facf701d6ad5eda95f5d0a867a031d46dbc2f67ca43a802f9bb4dc0"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12568",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12569",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12570",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12571"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012568.lean\",\"cff6f6905d53298c207811b426e59a855759598e2155547287a92faf6d4dfe48\",0,\"lean_workbook_54369\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012569.lean\",\"6cc138c5fb467bfdedadf9424933f03ec30bd53a1b1b35c183f29590953abf59\",0,\"lean_workbook_plus_76373\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012570.lean\",\"a3f1926a47f10196616b2eb50a6c5351b5069c69f75b37b6904ffd7e7bf79b1c\",0,\"lean_workbook_plus_56938\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012571.lean\",\"caa34964856c211c31f085e5d6a75960724545d103f42145575867cc009431e3\",0,\"lean_workbook_plus_70045\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012572-n000004.json b/manifests/batches/oproofs/s00002-r00012572-n000004.json
index b1e6c6b562ad24d8df33ae404783dc1b22562fdc..16fb60ad95506780cd0e5095b5092f1d2aadb5ca 100644
--- a/manifests/batches/oproofs/s00002-r00012572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012572-n000004",
   "batch_fingerprint": "3a631eeee434d06151d9e4c51b028db024ac60d3a8a86699984d9ef7457356dc",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012572-n000004-0000-97ea6c7dd581f94b.parquet",
-      "sha256": "97ea6c7dd581f94b3e5cf01368db6a0b7853891e550116a94988910372510bf1",
-      "bytes": 73872,
-      "rows": 8,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12573",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012572.lean\",\"4c56ab688a848b7317804b8c4675021f8c82c1362541fc6f7f1784d3261118ba\",0,\"lean_workbook_plus_48166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012573.lean\",\"81b0932c512e0733c13d85d58891e72985d1126cf289b9e3dd2699c6c7753b5b\",0,\"lean_workbook_plus_42713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012574.lean\",\"c61a0cae30562b81cee35daa5173b1e421a019c854d643fe635f5dbed9f5367c\",0,\"lean_workbook_plus_13905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73872,
+      "path": "data/train/p4b/oproofs-s00002-r00012572-n000004-0000-97ea6c7dd581f94b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "97ea6c7dd581f94b3e5cf01368db6a0b7853891e550116a94988910372510bf1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012576-n000004.json b/manifests/batches/oproofs/s00002-r00012576-n000004.json
index 81e31c4dfc9253b16b6774cbe0e9744a683f2b38..154fdf05e1adf8ffe804d069a8f5eabb8025acaa 100644
--- a/manifests/batches/oproofs/s00002-r00012576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012576-n000004",
   "batch_fingerprint": "854e0f6251a02a4a1046daa1b61ba55b9ce17e5fa4d477a0d53733e33f3999db",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012576-n000004-0000-e3a73b6af723b5c1.parquet",
-      "sha256": "e3a73b6af723b5c1e014bfb6221598ed9474c090515d034115e6692e070d7f8c",
-      "bytes": 216337,
-      "rows": 18,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012577.lean\",\"c9f029080bff17c0df2cbc6c1e5f81eef75ecec49fbd6012112c625919db492f\",0,\"lean_workbook_plus_47656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012578.lean\",\"fa667e668d6e5edbf9817b170a25d4d960e306c9e5670ae43ec0491fb323b05f\",0,\"lean_workbook_plus_44484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012579.lean\",\"5a2502fc3329b57895271f07fc9a2a04a9fa4617c2707498e016a9a3f7e28978\",0,\"lean_workbook_plus_63326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 216337,
+      "path": "data/train/pdf/oproofs-s00002-r00012576-n000004-0000-e3a73b6af723b5c1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "e3a73b6af723b5c1e014bfb6221598ed9474c090515d034115e6692e070d7f8c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012580-n000004.json b/manifests/batches/oproofs/s00002-r00012580-n000004.json
index 75e65b600fc5878f1df44a596a3a11bd68b8edcc..f75f5f7ac515f1f1a2d59de0119af25e5e801d57 100644
--- a/manifests/batches/oproofs/s00002-r00012580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012580-n000004",
   "batch_fingerprint": "601cdb5ffe5ef45eeaadb86e34868b84b9c17dd227809a398665c968fe1a4ca9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012580-n000004-0000-3095058d62728835.parquet",
-      "sha256": "3095058d62728835c14841b38bd788afef9c9fe1299c3639de47c66bcc4be83d",
-      "bytes": 292639,
-      "rows": 13,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012580-n000004-0000-da78901ea3a1b318.parquet",
-      "sha256": "da78901ea3a1b3180e2de27501d26a13cf8f1a33399ff3f3a5532cd208baffa2",
-      "bytes": 44501,
-      "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12581",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012581.lean\",\"93ef1b3de9b685295f15ec1f426b822547f2e3938cb7fcc8bbb80448e24db745\",0,\"lean_workbook_plus_34593\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012582.lean\",\"c432ca3e493eacc62f3d023e178cc30f4874301ce04bbf4f5eb71cea4ec9ed31\",0,\"lean_workbook_43318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012583.lean\",\"c6708726f2e5a2de1f0adb883fefc55e5d66f850d2b7cac8277d0018ed5c3555\",0,\"lean_workbook_plus_57325\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 292639,
+      "path": "data/train/p96/oproofs-s00002-r00012580-n000004-0000-3095058d62728835.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3095058d62728835c14841b38bd788afef9c9fe1299c3639de47c66bcc4be83d"
+    },
+    {
+      "bytes": 44501,
+      "path": "data/internal_test/p96/oproofs-s00002-r00012580-n000004-0000-da78901ea3a1b318.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "da78901ea3a1b3180e2de27501d26a13cf8f1a33399ff3f3a5532cd208baffa2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012584-n000004.json b/manifests/batches/oproofs/s00002-r00012584-n000004.json
index 41c663ef0828f3a5adf0b0505a7f795428721d50..e936c5678752319a145213ccce7f8d9b28f7e6c5 100644
--- a/manifests/batches/oproofs/s00002-r00012584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012584-n000004",
   "batch_fingerprint": "c4146857cadd27db38ab5b51e593fd27ef99e47fa7bb01e4f3587070e4ed4f80",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012584-n000004-0000-84f6f97b7adbfe10.parquet",
-      "sha256": "84f6f97b7adbfe101e1c618367af4903c15c76bd8c5424c3309c9c19451fc990",
-      "bytes": 189881,
-      "rows": 15,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012585.lean\",\"6980b223fd572ec109bedfa37f000ebc09eee9a37767188368a4818ed4db0289\",0,\"lean_workbook_plus_68481\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012586.lean\",\"1f6c93b60ef45cc668b6d923c68a6400ebd6a56821719668926064f8085761ea\",0,\"lean_workbook_plus_42605\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012587.lean\",\"a5e795abf6d79338410147208d351a8d3ca412008d8ed90569bd2bfc587df89f\",0,\"lean_workbook_plus_78661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189881,
+      "path": "data/train/pf5/oproofs-s00002-r00012584-n000004-0000-84f6f97b7adbfe10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "84f6f97b7adbfe101e1c618367af4903c15c76bd8c5424c3309c9c19451fc990"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012588-n000004.json b/manifests/batches/oproofs/s00002-r00012588-n000004.json
index 39869bf7e5bf101b092fde1c70321dbc603f8dec..3186871065102ff53bbf18a19b3143fc80a5c1bf 100644
--- a/manifests/batches/oproofs/s00002-r00012588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012588-n000004",
   "batch_fingerprint": "f0806c7a3f1d255439f551b4d392c995842068f610db2942ca18692f99aa08c7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012588-n000004-0000-32bb81922ff2433a.parquet",
-      "sha256": "32bb81922ff2433a2d160f4120789464fc2190a2d23f09c9ea45bec8de09b158",
-      "bytes": 247016,
-      "rows": 18,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12589",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012589.lean\",\"91b85f4a54f149fa43ae00c6683c4fcdc4b74382f4c3df39630fc228b85114e2\",0,\"lean_workbook_plus_81433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012590.lean\",\"6fa29b6edfe90c6af5a76bff27894c5a643ea95b5f74687fb9782c7ce8596f52\",0,\"lean_workbook_plus_20376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012591.lean\",\"c9d6c409fb91cde54b89a99c46d9b9de7af83f361697af6c44f730556c4323e2\",0,\"lean_workbook_23598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 247016,
+      "path": "data/train/p31/oproofs-s00002-r00012588-n000004-0000-32bb81922ff2433a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "32bb81922ff2433a2d160f4120789464fc2190a2d23f09c9ea45bec8de09b158"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012592-n000004.json b/manifests/batches/oproofs/s00002-r00012592-n000004.json
index 0d23c1c96483aa92fac07c39c80f5e3be3469bee..757ba3ecb63f3e1ee206db1565d6b1037f561519 100644
--- a/manifests/batches/oproofs/s00002-r00012592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012592-n000004",
   "batch_fingerprint": "54217e3b10ae7169dc9f00c61099d0f0f726b2469a366e0acd66d08c98e83dc8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012592-n000004-0000-f96d15a696af1871.parquet",
-      "sha256": "f96d15a696af187183d45c0f13f30202f19820538587eafd0ff7399ac794e144",
-      "bytes": 244393,
-      "rows": 18,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012593.lean\",\"895385547a5c88f50eb0a33708dab85adce51d106579eb703ba57bdec7f16e88\",0,\"lean_workbook_43713\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012594.lean\",\"b61c9469994b0bad4b517918c8f11a28cc2b5570fe546d4ddc766a40eba64252\",0,\"lean_workbook_plus_67945\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012595.lean\",\"c2df6422513777ab8592658cd815debae039168831561e6bdd630f8d9c77c4ff\",0,\"lean_workbook_plus_23511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 244393,
+      "path": "data/train/paf/oproofs-s00002-r00012592-n000004-0000-f96d15a696af1871.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "f96d15a696af187183d45c0f13f30202f19820538587eafd0ff7399ac794e144"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012596-n000004.json b/manifests/batches/oproofs/s00002-r00012596-n000004.json
index 7eb8b6eb2007285e9e73ecc6192a5539fb6a058f..f7c358cf0ab1e0d828c7a0340b9972e8cf04688c 100644
--- a/manifests/batches/oproofs/s00002-r00012596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012596-n000004",
   "batch_fingerprint": "4ca79d8fda12d42591fcfed055f7cbce2e7fc542272db293b38238e3e63607ef",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12596",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12597",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12598",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12599"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012596.lean\",\"648983661e8471c27f71a0ca2a1ed2019da1b20494715442ec2600df53266692\",0,\"lean_workbook_plus_28617\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012597.lean\",\"98a37b21d52a2813a75e35041668c4bc7890ae611816380531107c2963ade312\",0,\"lean_workbook_plus_59572\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012598.lean\",\"73d13262a545f62a5c834d202a86cfda08e514278d78cba4c7b14701924b2e92\",0,\"max_cos_sin_value\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012599.lean\",\"95367355a8c4e308de5d53bf36955ad29849cec926897004954d554d6af49d52\",0,\"lean_workbook_47497\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012596-n000004-0000-ce73d5b9366ce471.parquet",
-      "sha256": "ce73d5b9366ce471b258c298fd4ee66371f2632dad6ff7c754f6cab4e386945d",
       "bytes": 103792,
+      "path": "data/train/pfa/oproofs-s00002-r00012596-n000004-0000-ce73d5b9366ce471.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "ce73d5b9366ce471b258c298fd4ee66371f2632dad6ff7c754f6cab4e386945d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012596-n000004-0000-f6c070232e85d0f3.parquet",
-      "sha256": "f6c070232e85d0f3868d9b0cec3fc47590eb9bd0ea63c5c9c97722f9df0a99d3",
       "bytes": 93742,
+      "path": "data/dev/pfa/oproofs-s00002-r00012596-n000004-0000-f6c070232e85d0f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "f6c070232e85d0f3868d9b0cec3fc47590eb9bd0ea63c5c9c97722f9df0a99d3"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012596-n000004-0000-2ed9f4fac7653bed.parquet",
-      "sha256": "2ed9f4fac7653bed6ddcfd2ba1e4319bb3058b13466683c743dd81ee8508b053",
       "bytes": 42831,
+      "path": "data/internal_test/pfa/oproofs-s00002-r00012596-n000004-0000-2ed9f4fac7653bed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "2ed9f4fac7653bed6ddcfd2ba1e4319bb3058b13466683c743dd81ee8508b053"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12596",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12597",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12598",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12599"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012596.lean\",\"648983661e8471c27f71a0ca2a1ed2019da1b20494715442ec2600df53266692\",0,\"lean_workbook_plus_28617\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012597.lean\",\"98a37b21d52a2813a75e35041668c4bc7890ae611816380531107c2963ade312\",0,\"lean_workbook_plus_59572\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012598.lean\",\"73d13262a545f62a5c834d202a86cfda08e514278d78cba4c7b14701924b2e92\",0,\"max_cos_sin_value\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012599.lean\",\"95367355a8c4e308de5d53bf36955ad29849cec926897004954d554d6af49d52\",0,\"lean_workbook_47497\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012600-n000004.json b/manifests/batches/oproofs/s00002-r00012600-n000004.json
index 191bed28f187e73ac87c2b69f83f0bb3f1f040b9..537757465e43324e80aa4c6190bb45464dc47ee6 100644
--- a/manifests/batches/oproofs/s00002-r00012600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012600-n000004",
   "batch_fingerprint": "357665fec1feed2e91a2b06af25b25cdb8c3c07d3f348c1373755abbef1ce2c9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012600-n000004-0000-6c38e7f322593088.parquet",
-      "sha256": "6c38e7f3225930884f9e265ee1f6ae31cf2b98d312611cd092ea9a72b6577a0d",
-      "bytes": 136169,
-      "rows": 18,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012601.lean\",\"4a4e05a4b7d66d7ea4e09d43b841bdd25a4e73246f369f64779fe425bbe82eea\",0,\"lean_workbook_plus_62261\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012602.lean\",\"149dd6b0c018e5e5dfc7ca72764802d2d5b653b74439bc63a01511752ec18516\",0,\"lean_workbook_37793\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012603.lean\",\"bcbb2ce2b74c6fc63f539e0017a64b354ac862e30feb4fa12f4b8fe7da830e4a\",0,\"lean_workbook_20373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136169,
+      "path": "data/train/pd1/oproofs-s00002-r00012600-n000004-0000-6c38e7f322593088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "6c38e7f3225930884f9e265ee1f6ae31cf2b98d312611cd092ea9a72b6577a0d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012604-n000004.json b/manifests/batches/oproofs/s00002-r00012604-n000004.json
index a46830bef775eb48efdc0138b91df243367f887f..422612adde37d2f09ceaed18d206de54eb6743b9 100644
--- a/manifests/batches/oproofs/s00002-r00012604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012604-n000004",
   "batch_fingerprint": "dee399c17d94627d17b62cfb966d249a2e12b7928cd1d5c6b3a22abbfd086e3c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012604-n000004-0000-959666a40987096b.parquet",
-      "sha256": "959666a40987096b1fee91dc42c5d2a87cc1c839fac29d143bb052a70b5582f6",
-      "bytes": 267478,
-      "rows": 9,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012604-n000004-0000-97c3e88282941593.parquet",
-      "sha256": "97c3e88282941593024cab31cd64a97c79146b2c96231dde13b6d940ea510cb5",
-      "bytes": 58050,
-      "rows": 6,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12605",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012605.lean\",\"07daca25c4fafdf43fa5965c4ce13ce6464a1839c8909a1e87684484d8ba4495\",0,\"lean_workbook_42497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012606.lean\",\"aeb015dffe0d94f7d21a7f3bae9fb667cc9d93ca254f62fa94d45e101f5b9132\",0,\"lean_workbook_plus_73179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012607.lean\",\"7e1ff6d3ef03c86df911eb9f5e828d17750071766815ac5efb4eaefec2d8f20d\",0,\"lean_workbook_20652\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267478,
+      "path": "data/train/p1b/oproofs-s00002-r00012604-n000004-0000-959666a40987096b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "959666a40987096b1fee91dc42c5d2a87cc1c839fac29d143bb052a70b5582f6"
+    },
+    {
+      "bytes": 58050,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00012604-n000004-0000-97c3e88282941593.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "97c3e88282941593024cab31cd64a97c79146b2c96231dde13b6d940ea510cb5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012608-n000004.json b/manifests/batches/oproofs/s00002-r00012608-n000004.json
index 0b2a9d5b7260cc2055873137a44b2232082f94cc..c19f78c3718072f0aae1f3e18adcb821702d6387 100644
--- a/manifests/batches/oproofs/s00002-r00012608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012608-n000004",
   "batch_fingerprint": "d4d19e24097387bb2332db416f9de22afcaec5828f4cb252447472a07111aa20",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012608-n000004-0000-bafa1c115cfef029.parquet",
-      "sha256": "bafa1c115cfef029a3b3bbbab553c9a0d9159a84cd6d2e17ac6b6fba8c618dc1",
-      "bytes": 118792,
-      "rows": 12,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12609",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012609.lean\",\"abaa19187545e9407c70739a859f3b08cb2762055631691e2308b4834e25dbda\",0,\"lean_workbook_32123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012610.lean\",\"286e0c34d2f8be7a120463eb14d0064203cc6afced9db0ae81cb2f91a73ddafa\",0,\"lean_workbook_plus_56446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012611.lean\",\"574694685dcf031c8af7e00c87095b41e7574dccb34666b654531b0cbd4cb387\",0,\"line_point_relation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118792,
+      "path": "data/train/pf3/oproofs-s00002-r00012608-n000004-0000-bafa1c115cfef029.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "bafa1c115cfef029a3b3bbbab553c9a0d9159a84cd6d2e17ac6b6fba8c618dc1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012612-n000004.json b/manifests/batches/oproofs/s00002-r00012612-n000004.json
index 26fcf79560fce5a1320ad4e6d65c9f6374e02e0d..c8e497da7d998e1eac6830b22f32d36c35f6b57d 100644
--- a/manifests/batches/oproofs/s00002-r00012612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012612-n000004",
   "batch_fingerprint": "68c5ec5673af404c7bebbd8ce46f6bccc7d8d56a8600f8548ebcc8292e350883",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012612-n000004-0000-498214e3763ce734.parquet",
-      "sha256": "498214e3763ce73451b291d1ea4556a167422d895293047fd0c32373d53c10c1",
-      "bytes": 170905,
-      "rows": 20,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012612-n000004-0000-2038de91616c101b.parquet",
-      "sha256": "2038de91616c101b4dbd40360dc72e26cca03b3c44d05d0acf7559ab9e93f63b",
-      "bytes": 56386,
-      "rows": 4,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12613",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012613.lean\",\"a15a1445cee91d1a7457654695862d5d52004599d4f72bfa6886f075aa768ee0\",0,\"lean_workbook_plus_50221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012614.lean\",\"b4a02f1a6edd75a8e13860724d8526746f0c1a31c2fdc0377e91370300ddf089\",0,\"lean_workbook_plus_17561\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012615.lean\",\"948b1995a03b966e2ae089bf90afc2c68ad0694b0c9a4fc828ccac4404ebcd79\",0,\"lean_workbook_plus_36683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170905,
+      "path": "data/train/p28/oproofs-s00002-r00012612-n000004-0000-498214e3763ce734.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "498214e3763ce73451b291d1ea4556a167422d895293047fd0c32373d53c10c1"
+    },
+    {
+      "bytes": 56386,
+      "path": "data/dev/p28/oproofs-s00002-r00012612-n000004-0000-2038de91616c101b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2038de91616c101b4dbd40360dc72e26cca03b3c44d05d0acf7559ab9e93f63b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012616-n000004.json b/manifests/batches/oproofs/s00002-r00012616-n000004.json
index 858d4cc7731d08ce565f89ccd7573c5ef5d8ba55..653dff54b52e76b55b42e7a95552c95c64d7a71e 100644
--- a/manifests/batches/oproofs/s00002-r00012616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012616-n000004",
   "batch_fingerprint": "063914a65dc5c4da7a679567b87ea67690dd5e9060dd9b5bd41c0aaf880644de",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012616-n000004-0000-a332204572a49b29.parquet",
-      "sha256": "a332204572a49b297d49940ee533335d50de97afbc04aafc5bfc14362c2062a4",
-      "bytes": 526181,
-      "rows": 15,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012616-n000004-0000-934d702c7a7f0012.parquet",
-      "sha256": "934d702c7a7f00127dd027a261a036c3ef071126858347c05192199dbf58913e",
-      "bytes": 48012,
-      "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012617.lean\",\"9853f77c5aad322cc18ed83b6cc4d1df65bd3f2c7ca0f705790bd5d59176e3cd\",0,\"lean_workbook_plus_57691\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012618.lean\",\"b004b485f96535dad2dcc9f5e45da6e1c79eb9f55f173be38752746989195d7e\",0,\"lean_workbook_53094\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012619.lean\",\"17ac296666d371af1828cf463b20fe408d9a653da0f4b4dec3730361185dee3d\",0,\"lean_workbook_plus_32916\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 526181,
+      "path": "data/train/pf4/oproofs-s00002-r00012616-n000004-0000-a332204572a49b29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a332204572a49b297d49940ee533335d50de97afbc04aafc5bfc14362c2062a4"
+    },
+    {
+      "bytes": 48012,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00012616-n000004-0000-934d702c7a7f0012.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "934d702c7a7f00127dd027a261a036c3ef071126858347c05192199dbf58913e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012620-n000004.json b/manifests/batches/oproofs/s00002-r00012620-n000004.json
index 4a84eb2aab5a2f96cfe8682c40d1beabde570af9..d424cbcd5fdc52845d5f9a7bb83c98fbe66dfe58 100644
--- a/manifests/batches/oproofs/s00002-r00012620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012620-n000004",
   "batch_fingerprint": "8ff5dfd21e410925afe95a056d2a7ddc12260606bc669ea07eb7f02512bb75e4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012620-n000004-0000-157bafe3b6eed070.parquet",
-      "sha256": "157bafe3b6eed07048b5b4b70e779c029ca2fc3f3705856b52cba9d9fbbc54d7",
-      "bytes": 817960,
-      "rows": 17,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012621.lean\",\"ad31a92cbad0c4bf554f16021548ac33d605ad95545997027812feac797ddd8b\",0,\"lean_workbook_plus_28544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012622.lean\",\"75c5ca2e48f2eb1b60162a38588056b44217497fbe84d604514184b9f719ddaf\",0,\"lean_workbook_52973\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012623.lean\",\"cb79ee6a631fb8818f7f977ea27ee0b49f08039dc131d352c893c1f6781f2e2b\",0,\"lean_workbook_24380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 817960,
+      "path": "data/train/p86/oproofs-s00002-r00012620-n000004-0000-157bafe3b6eed070.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "157bafe3b6eed07048b5b4b70e779c029ca2fc3f3705856b52cba9d9fbbc54d7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012624-n000004.json b/manifests/batches/oproofs/s00002-r00012624-n000004.json
index 058ad463bb1130f2d82e28a4dd9f068c36e7b188..efef097baa4d6a180db4c248abb323703366784d 100644
--- a/manifests/batches/oproofs/s00002-r00012624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012624-n000004",
   "batch_fingerprint": "7d873490f6ef0e36d851ceb000e0fc7ed3527dda9eec47970c464f41a7d09070",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012624-n000004-0000-456aae9c6cae0123.parquet",
-      "sha256": "456aae9c6cae01231b0864e84083f71177d778062830bc5cc39a4e932ef6e00c",
-      "bytes": 123209,
-      "rows": 19,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012624-n000004-0000-25f1bba057b8d5c2.parquet",
-      "sha256": "25f1bba057b8d5c293b7c279836389610d92e332660c1af782bffecd35fbba87",
-      "bytes": 59524,
-      "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012625.lean\",\"5db5a863dab4ab616c6d6d18974adb5442860bd62a34b23afd1e946efb1c6da6\",0,\"lean_workbook_31925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012626.lean\",\"40dbecce10bd0690d170fcdb854f09a55e68cd03f52478922679da1f5d2a8cde\",0,\"min_subtraction_for_divisibility\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012627.lean\",\"382cdc875be0fb6210d8534bcbb3345792f1a5ef519c8117be49989eacdf549a\",0,\"band_seats_needed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123209,
+      "path": "data/train/p6e/oproofs-s00002-r00012624-n000004-0000-456aae9c6cae0123.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "456aae9c6cae01231b0864e84083f71177d778062830bc5cc39a4e932ef6e00c"
+    },
+    {
+      "bytes": 59524,
+      "path": "data/dev/p6e/oproofs-s00002-r00012624-n000004-0000-25f1bba057b8d5c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "25f1bba057b8d5c293b7c279836389610d92e332660c1af782bffecd35fbba87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012628-n000004.json b/manifests/batches/oproofs/s00002-r00012628-n000004.json
index d08159166fa65d3716f4d0f8ead088201a76bc98..6cc0a035f2e458bfb9d7d8765f1c2795acbb3479 100644
--- a/manifests/batches/oproofs/s00002-r00012628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012628-n000004",
   "batch_fingerprint": "6cae3f36e310102d30216947e3aac91ae17b6600ac1e1888688fa4724960582f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012628-n000004-0000-76398af9d1bcff37.parquet",
-      "sha256": "76398af9d1bcff37334997d48e08e68d92fde874d8039cdb0da6261cc018f7af",
-      "bytes": 109659,
-      "rows": 14,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12629",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012629.lean\",\"128f497adb53d5c92ef3c4d1528c1f5590860d65f27b3f6bab15a8a2b934b364\",0,\"lean_workbook_plus_71212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012630.lean\",\"e9227851d8017ab892fd6ed7d237a3b44a10abd05a38cb185609d00ffc964707\",0,\"lean_workbook_plus_65649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012631.lean\",\"4de735b1bdac8c998077076dd79ce8f2828c4cd0b8daf242138066faca8a96a2\",0,\"lean_workbook_plus_36078\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109659,
+      "path": "data/train/p57/oproofs-s00002-r00012628-n000004-0000-76398af9d1bcff37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "76398af9d1bcff37334997d48e08e68d92fde874d8039cdb0da6261cc018f7af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012632-n000004.json b/manifests/batches/oproofs/s00002-r00012632-n000004.json
index 04fe5f5fd558736b26a203a7dc552cca4111bb07..99d5c9799b59e68045ff94967ff61387418db46b 100644
--- a/manifests/batches/oproofs/s00002-r00012632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012632-n000004",
   "batch_fingerprint": "136c606e0d7802ded97cf1d94afe7e919bcc874b5b1e9250d57226b6481465c2",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012632-n000004-0000-45e3464383fc12fb.parquet",
-      "sha256": "45e3464383fc12fb0cbf16552ef416317d66482e41c7d33fd167179eeef93988",
-      "bytes": 185501,
-      "rows": 17,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012632-n000004-0000-b754411580f0d821.parquet",
-      "sha256": "b754411580f0d82164a54abdf1981862f0004a8a87e3617422ff6e79e7eda6ed",
-      "bytes": 131371,
-      "rows": 7,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12633",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012632.lean\",\"a66c5da593166128bf61b4eaf4417be9b06c96b6886b9aa69abd123bad92e789\",0,\"lean_workbook_plus_42629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012633.lean\",\"d30b0df8eed6495d8541bc8ef3d273b71b8a7513503d17afdc1c87a2f63bc44f\",0,\"lean_workbook_plus_57797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012635.lean\",\"43a254c3388e32f0c4e09a33b8990e9fed0441b0f6fce383f107014d2f780482\",0,\"lean_workbook_plus_71409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 185501,
+      "path": "data/train/pab/oproofs-s00002-r00012632-n000004-0000-45e3464383fc12fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "45e3464383fc12fb0cbf16552ef416317d66482e41c7d33fd167179eeef93988"
+    },
+    {
+      "bytes": 131371,
+      "path": "data/internal_test/pab/oproofs-s00002-r00012632-n000004-0000-b754411580f0d821.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "b754411580f0d82164a54abdf1981862f0004a8a87e3617422ff6e79e7eda6ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012636-n000004.json b/manifests/batches/oproofs/s00002-r00012636-n000004.json
index 92b62a5e4291a440ba03c62e0f90db60e8296792..051794f4b3d35f97061f7a1c8c7b60b846cb31fa 100644
--- a/manifests/batches/oproofs/s00002-r00012636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012636-n000004",
   "batch_fingerprint": "8fa80ad8b72251e9f5b39c848d0dc63b69d9a2a2229a78fa9c92baddd5a24504",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12636",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12637",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12638",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12639"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012636.lean\",\"2abe054f0572196555eae284016d728e6faeb88f86c1c9e72bfb0659362c2f7c\",0,\"lean_workbook_plus_19888\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012637.lean\",\"26ebbc11a0f504408d3e8ded426a7f4390ba6b9e7a9df1e3f82667608cc33560\",0,\"lean_workbook_plus_3106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012638.lean\",\"939a58a7fda1b27eebd79cab16f888389fb6cea926bf61517a7b9e9f1f8c9efd\",0,\"lean_workbook_50892\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012639.lean\",\"169e9109856627d6e9b287d0cf61472e05ced98b77f890f87f619ba5bd7f0509\",0,\"lean_workbook_plus_27865\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012636-n000004-0000-37236aff18cfd4a2.parquet",
-      "sha256": "37236aff18cfd4a276ba49d41349a5f3bd2f2cb4ef720daefd91bf2cbbe997c8",
       "bytes": 134048,
+      "path": "data/train/pa4/oproofs-s00002-r00012636-n000004-0000-37236aff18cfd4a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "37236aff18cfd4a276ba49d41349a5f3bd2f2cb4ef720daefd91bf2cbbe997c8"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012636-n000004-0000-6c9f3fdc60ad15ee.parquet",
-      "sha256": "6c9f3fdc60ad15eed2150c527c836b9262f1285aaa4aefbd9c97b95aa2394c2f",
       "bytes": 41558,
+      "path": "data/dev/pa4/oproofs-s00002-r00012636-n000004-0000-6c9f3fdc60ad15ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "6c9f3fdc60ad15eed2150c527c836b9262f1285aaa4aefbd9c97b95aa2394c2f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012636-n000004-0000-b5f4d194a83cc3eb.parquet",
-      "sha256": "b5f4d194a83cc3eb15fe5fdfef455f84282282032d663a3415dacd4465ac4bd7",
       "bytes": 160362,
+      "path": "data/internal_test/pa4/oproofs-s00002-r00012636-n000004-0000-b5f4d194a83cc3eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "b5f4d194a83cc3eb15fe5fdfef455f84282282032d663a3415dacd4465ac4bd7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12636",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12637",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12638",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12639"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012636.lean\",\"2abe054f0572196555eae284016d728e6faeb88f86c1c9e72bfb0659362c2f7c\",0,\"lean_workbook_plus_19888\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012637.lean\",\"26ebbc11a0f504408d3e8ded426a7f4390ba6b9e7a9df1e3f82667608cc33560\",0,\"lean_workbook_plus_3106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012638.lean\",\"939a58a7fda1b27eebd79cab16f888389fb6cea926bf61517a7b9e9f1f8c9efd\",0,\"lean_workbook_50892\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012639.lean\",\"169e9109856627d6e9b287d0cf61472e05ced98b77f890f87f619ba5bd7f0509\",0,\"lean_workbook_plus_27865\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012640-n000004.json b/manifests/batches/oproofs/s00002-r00012640-n000004.json
index f117a4e7d52e0def5af4ccd6c42ed605a8469345..0352d36160d3239d181c5ceee5e94f474e5dfb01 100644
--- a/manifests/batches/oproofs/s00002-r00012640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012640-n000004",
   "batch_fingerprint": "287acc398457a286c796a2ab337cd4bc6f4c47d9f98faff72980dd4e0ceea684",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012640-n000004-0000-87c9e4983782f1c7.parquet",
-      "sha256": "87c9e4983782f1c7af8dc9a04cba227be7debe3ea516921544d366450efbd7b6",
-      "bytes": 393402,
-      "rows": 14,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012640-n000004-0000-b1cac8c93c070b59.parquet",
-      "sha256": "b1cac8c93c070b591ce7b2eb6eb70569c8b7757ca379f2dcb716dc8e1df48940",
-      "bytes": 56756,
-      "rows": 3,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12641",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012641.lean\",\"ce8f6bbca9868f725fa074fff0902d975d728d312b9c96db0f5c74e432b2107b\",0,\"lean_workbook_plus_2840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012642.lean\",\"c72580a2ae2a83dd3bc717bcfca764952e32b990360b3bcccd7bd7f7e236dc3c\",0,\"lean_workbook_plus_43446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012643.lean\",\"303eade97a97a246155280b7993e895d6ebd9cb5b7f74731588c3aac489bfb84\",0,\"lean_workbook_plus_4163\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 393402,
+      "path": "data/train/p0c/oproofs-s00002-r00012640-n000004-0000-87c9e4983782f1c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "87c9e4983782f1c7af8dc9a04cba227be7debe3ea516921544d366450efbd7b6"
+    },
+    {
+      "bytes": 56756,
+      "path": "data/internal_test/p0c/oproofs-s00002-r00012640-n000004-0000-b1cac8c93c070b59.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b1cac8c93c070b591ce7b2eb6eb70569c8b7757ca379f2dcb716dc8e1df48940"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012644-n000004.json b/manifests/batches/oproofs/s00002-r00012644-n000004.json
index a1ac1fa4b1cb67e3d74cd542d3c5b82101c1dd16..865bb0fdcccf1347d09b9131acabf148545122e2 100644
--- a/manifests/batches/oproofs/s00002-r00012644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012644-n000004",
   "batch_fingerprint": "f423e03dc2155d45a4151e1c497172d4196a753df537c9684e571ff3024b8799",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012644-n000004-0000-9291ea5290fdb914.parquet",
-      "sha256": "9291ea5290fdb914ac4ee1606fe2ffb6178c6e71fd37d52d4ee7066fa61bf5c7",
-      "bytes": 1113933,
-      "rows": 14,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012644-n000004-0000-41814d2d29d4acaa.parquet",
-      "sha256": "41814d2d29d4acaa3b72e7c7a73f9b5a37839cc41279bc5b4aa8c52ac06caafe",
-      "bytes": 46401,
-      "rows": 3,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12645",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012645.lean\",\"42efc5303afda1528d019cf38799b101ea39bbf9fdf6d1b0e7aee6547246cb07\",0,\"lean_workbook_plus_26364\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012646.lean\",\"71314cfbe68830aca60a97db50bc00d5d2f0bde9a861244f6a9bc1f0813c98d8\",0,\"lean_workbook_55309\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012647.lean\",\"ce1b3e0be18d6e856738a9c15eb5ed49f8ceefac296fcffe247cb476696b87cd\",0,\"lean_workbook_plus_49207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1113933,
+      "path": "data/train/p28/oproofs-s00002-r00012644-n000004-0000-9291ea5290fdb914.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9291ea5290fdb914ac4ee1606fe2ffb6178c6e71fd37d52d4ee7066fa61bf5c7"
+    },
+    {
+      "bytes": 46401,
+      "path": "data/internal_test/p28/oproofs-s00002-r00012644-n000004-0000-41814d2d29d4acaa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "41814d2d29d4acaa3b72e7c7a73f9b5a37839cc41279bc5b4aa8c52ac06caafe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012648-n000004.json b/manifests/batches/oproofs/s00002-r00012648-n000004.json
index 292fc63ebce423597330070a4433f3fe0470aa23..f3743477963d6e970d98ff5822306c33910574cd 100644
--- a/manifests/batches/oproofs/s00002-r00012648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012648-n000004",
   "batch_fingerprint": "34f994d219b630b2d402ecc67b86a58b988431f675188453f0b8d3e55c1f91e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012648-n000004-0000-edb3f10f58abb63a.parquet",
-      "sha256": "edb3f10f58abb63aa15bf60a5e00d9e5da4961872a1222a7f37ddeac54fd6996",
-      "bytes": 351084,
-      "rows": 20,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012649.lean\",\"d8e31d14da90d2860803c3253a4061711799b693325f7c437fe56de9bc55f34f\",0,\"lean_workbook_plus_58696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012650.lean\",\"4397b5bc800238d6f70c524df68449bf88dd5906964b230fcc42f414c19444f9\",0,\"lean_workbook_49639\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012651.lean\",\"e3a5e1450cb506323749654441286a3b10e90cf8a3c5809a4f7c2101780fdd86\",0,\"lean_workbook_plus_16456\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 351084,
+      "path": "data/train/p4d/oproofs-s00002-r00012648-n000004-0000-edb3f10f58abb63a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "edb3f10f58abb63aa15bf60a5e00d9e5da4961872a1222a7f37ddeac54fd6996"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012652-n000004.json b/manifests/batches/oproofs/s00002-r00012652-n000004.json
index 4e45e3a2168288d94e3638173636a2c970c33e52..159bf4abe5eb43d4f66840965867abe3b350792c 100644
--- a/manifests/batches/oproofs/s00002-r00012652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012652-n000004",
   "batch_fingerprint": "4a0500f901e52c8948b07c8f6a55dc613688fa0f8247bb771e69f0fa4f4f5974",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012652-n000004-0000-84ee1d79602e67ce.parquet",
-      "sha256": "84ee1d79602e67ce3d45d49c1c7fdc9c4125653f4b58e546881617300cf97876",
-      "bytes": 583418,
-      "rows": 23,
-      "revision": "02a7f4c3ab09b10360391bd40e72471791066f74"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012653.lean\",\"cd4167b0fbe934acfae7e92153424072e158b317a4ab04ff2dd7294e6e40d434\",0,\"lean_workbook_plus_56963\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012654.lean\",\"a716bc8d51aaccaa676af18362d79b82882bd7ca648c4021ff9b9df26f0619b5\",0,\"no_solution_exists\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012655.lean\",\"7cddd6d07b99baaf4faa3680ae387a956aa76b73decd1687d76aa8e7c0814365\",0,\"lean_workbook_1637\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 583418,
+      "path": "data/train/pf0/oproofs-s00002-r00012652-n000004-0000-84ee1d79602e67ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "84ee1d79602e67ce3d45d49c1c7fdc9c4125653f4b58e546881617300cf97876"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012656-n000004.json b/manifests/batches/oproofs/s00002-r00012656-n000004.json
index 049091a6d2e72107731cefef5b16f505af287888..46a8575286414b03dc2b09b7185245f21fad3651 100644
--- a/manifests/batches/oproofs/s00002-r00012656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012656-n000004",
   "batch_fingerprint": "4a198114d7e2355e487da87856ef9ae7028e0219232de20d6eaf64c4bcacd775",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012656-n000004-0000-bc8767689d57a817.parquet",
-      "sha256": "bc8767689d57a81735a064b5ab47ed3baf08348f10854bb355f3abd316c0cc03",
-      "bytes": 82124,
-      "rows": 8,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012656-n000004-0000-9a3427af92495718.parquet",
-      "sha256": "9a3427af9249571891c880bd52cef9784cefb61286378ef17014f0dd71dcfde5",
-      "bytes": 53961,
-      "rows": 5,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12656",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12657",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012657.lean\",\"4f7e3a11864f870154eb1ef83d325a272ebb6ca352280b741278b622fc608b25\",0,\"lean_workbook_57135\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012658.lean\",\"c763068fbf8592a0f8c666e7ed76a3eb24286a72e3be3e8828a0bea6316bc0b0\",0,\"lean_workbook_plus_7282\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012659.lean\",\"089981fb7b47de3bebd2dcefac5afd2297871954ff04b2e06ef25d6eec873f1d\",0,\"lean_workbook_plus_44312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 82124,
+      "path": "data/train/pa2/oproofs-s00002-r00012656-n000004-0000-bc8767689d57a817.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bc8767689d57a81735a064b5ab47ed3baf08348f10854bb355f3abd316c0cc03"
+    },
+    {
+      "bytes": 53961,
+      "path": "data/internal_test/pa2/oproofs-s00002-r00012656-n000004-0000-9a3427af92495718.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9a3427af9249571891c880bd52cef9784cefb61286378ef17014f0dd71dcfde5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012660-n000004.json b/manifests/batches/oproofs/s00002-r00012660-n000004.json
index 0a23d1254a0fbbd0c30ce5d2c29838d868a50d6c..10db380aae198dfb3a2c2d6c477d33a755b4bb17 100644
--- a/manifests/batches/oproofs/s00002-r00012660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012660-n000004",
   "batch_fingerprint": "c9979c1d09a4ab6ab753281fc14ecf42c91d1d27d38280896bf176fba53e80ed",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012660-n000004-0000-eecab3c80d264cd7.parquet",
-      "sha256": "eecab3c80d264cd76bd7e47831cbd6f29cd88fa06c6e2efeb981fe7755838b43",
-      "bytes": 162987,
-      "rows": 13,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012660-n000004-0000-14e36c57ef6af869.parquet",
-      "sha256": "14e36c57ef6af869777ed6b64213803a1763f3d80d7bb4cdcb1d46ca9e01798d",
-      "bytes": 88642,
-      "rows": 8,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012661.lean\",\"3807a3aede839bd70028cf70fdd174ad9f708aa8c8474c57a8b649462e37a632\",0,\"lean_workbook_plus_57083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012662.lean\",\"414b0aaa8e52ea1e6703e29aa2f2bf296f3c447a3ea4a17a7c67c42c879be793\",0,\"lean_workbook_28804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012663.lean\",\"7cb353a244c63876c82ca86ca6b6aa7f4eb1acb65f8efb09f35a9a39919db05f\",0,\"lean_workbook_plus_41135\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162987,
+      "path": "data/train/pec/oproofs-s00002-r00012660-n000004-0000-eecab3c80d264cd7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "eecab3c80d264cd76bd7e47831cbd6f29cd88fa06c6e2efeb981fe7755838b43"
+    },
+    {
+      "bytes": 88642,
+      "path": "data/internal_test/pec/oproofs-s00002-r00012660-n000004-0000-14e36c57ef6af869.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "14e36c57ef6af869777ed6b64213803a1763f3d80d7bb4cdcb1d46ca9e01798d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012664-n000004.json b/manifests/batches/oproofs/s00002-r00012664-n000004.json
index f0458fa3368651b0d604a92c83b2154431b3760c..395cdd610297f649e88a8355d6f32b3d5536c264 100644
--- a/manifests/batches/oproofs/s00002-r00012664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012664-n000004",
   "batch_fingerprint": "56147deb4cd2bca408993332b1445d76b95a4648f43cd01633f50be53a01d030",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12664",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12665",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12666",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12667"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012664.lean\",\"8bcf0472aa143f111052ec25d6861c445ecfda024188273b9ff0ebe4d5f6d8d6\",0,\"solid_volume\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012665.lean\",\"1d8d9bc09da60195654ebb3f4839ed89d0e4f7aba6e220b8ffb5447c3e759d1d\",0,\"lean_workbook_plus_8928\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012666.lean\",\"a9efc328d2915ebe93af8d7d99a790afc3c7de504cea3364021db32329284595\",0,\"lean_workbook_plus_11815\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012667.lean\",\"779d81167e095900c6accedb9204e496eb60e28e8d983bd08b0af3c08e97bcc1\",0,\"lean_workbook_plus_21327\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012664-n000004-0000-3627403acb434cc6.parquet",
-      "sha256": "3627403acb434cc6f02f8035bea80ba76236fc2027aef1053a969be334bfa462",
       "bytes": 48861,
+      "path": "data/train/p21/oproofs-s00002-r00012664-n000004-0000-3627403acb434cc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "3627403acb434cc6f02f8035bea80ba76236fc2027aef1053a969be334bfa462"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012664-n000004-0000-240b2bf43c022609.parquet",
-      "sha256": "240b2bf43c022609a91697b376d68824313b3f7dbda6ef4af6082dae729ef282",
       "bytes": 34519,
+      "path": "data/dev/p21/oproofs-s00002-r00012664-n000004-0000-240b2bf43c022609.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "240b2bf43c022609a91697b376d68824313b3f7dbda6ef4af6082dae729ef282"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012664-n000004-0000-345f96d8f9bd8a8a.parquet",
-      "sha256": "345f96d8f9bd8a8a769a14b04cf9205ca8cb1eb2ee723c709af6dfdfac61f474",
       "bytes": 66223,
+      "path": "data/internal_test/p21/oproofs-s00002-r00012664-n000004-0000-345f96d8f9bd8a8a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
+      "sha256": "345f96d8f9bd8a8a769a14b04cf9205ca8cb1eb2ee723c709af6dfdfac61f474"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12664",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12665",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12666",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12667"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012664.lean\",\"8bcf0472aa143f111052ec25d6861c445ecfda024188273b9ff0ebe4d5f6d8d6\",0,\"solid_volume\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012665.lean\",\"1d8d9bc09da60195654ebb3f4839ed89d0e4f7aba6e220b8ffb5447c3e759d1d\",0,\"lean_workbook_plus_8928\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012666.lean\",\"a9efc328d2915ebe93af8d7d99a790afc3c7de504cea3364021db32329284595\",0,\"lean_workbook_plus_11815\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012667.lean\",\"779d81167e095900c6accedb9204e496eb60e28e8d983bd08b0af3c08e97bcc1\",0,\"lean_workbook_plus_21327\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012668-n000004.json b/manifests/batches/oproofs/s00002-r00012668-n000004.json
index a1c79b34a131d95e62d4d82c321849dea15ae390..822f615d67b687f0b863875a56ddd4a08e91ac8c 100644
--- a/manifests/batches/oproofs/s00002-r00012668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012668-n000004",
   "batch_fingerprint": "f25663fd3e9374135d869cbc3c2f54004db48dfa9d3de3908219a9d961a9abd1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012668-n000004-0000-7f2e815e43c466e9.parquet",
-      "sha256": "7f2e815e43c466e950a6d030ab47c8e9868f8de124400a1820bf5d662bed687f",
-      "bytes": 190521,
-      "rows": 17,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012668-n000004-0000-7e097d199a48c5e4.parquet",
-      "sha256": "7e097d199a48c5e4f8daa33339bf63e208c04db2c4f65e0058c215d52e0d4f79",
-      "bytes": 41324,
-      "rows": 2,
-      "revision": "8184788c628d4eacdd51d2daf6a07656fc0c4b41"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012669.lean\",\"62d55838782ced8a0dd0701601a0f9f4db97f4de85c8fe720be25c6bb01f8239\",0,\"lean_workbook_32775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012670.lean\",\"6d850965ac3cd06bd6600415323f237cd24a3669cfa90fa3d6c03f8fb633a28f\",0,\"lean_workbook_54369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012671.lean\",\"6f7617e1063c505cb1e2543aef9f6dbce106eb9a0719c1bfe8b32217934d0c65\",0,\"lean_workbook_plus_56938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190521,
+      "path": "data/train/p31/oproofs-s00002-r00012668-n000004-0000-7f2e815e43c466e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "7f2e815e43c466e950a6d030ab47c8e9868f8de124400a1820bf5d662bed687f"
+    },
+    {
+      "bytes": 41324,
+      "path": "data/internal_test/p31/oproofs-s00002-r00012668-n000004-0000-7e097d199a48c5e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "7e097d199a48c5e4f8daa33339bf63e208c04db2c4f65e0058c215d52e0d4f79"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012672-n000004.json b/manifests/batches/oproofs/s00002-r00012672-n000004.json
index cfa86e55bcac9b12b84e9aa8ad0f5f809dd1bf7f..ea6b1a8780958cb36d8c5997de2f0ea020c22f33 100644
--- a/manifests/batches/oproofs/s00002-r00012672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012672-n000004",
   "batch_fingerprint": "7d4195cbd52bdf47b1638a914b5d7b97435a3c415185d01e7d6d0a674c2208ae",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012672-n000004-0000-00c793a501e73625.parquet",
-      "sha256": "00c793a501e73625728423efa6c90388a8974e529ff6d3de4eb19aaba9eda9e6",
-      "bytes": 443692,
-      "rows": 25,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12673",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012673.lean\",\"21ce9b441b9e9fdd6f8b1c91da7f84d1b93b2448a43ee4b73cb70ffb56f0c114\",0,\"lean_workbook_plus_43324\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012674.lean\",\"4493737a48f6466088fa10faedd11f27cb83c9755f7c77897bd4cadb2eae23cc\",0,\"lean_workbook_plus_48166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012675.lean\",\"6f1b968a0c6b641417376974782ac37c3fdd18f3dff522e391d8941019523fdb\",0,\"lean_workbook_27089\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 443692,
+      "path": "data/train/p07/oproofs-s00002-r00012672-n000004-0000-00c793a501e73625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "00c793a501e73625728423efa6c90388a8974e529ff6d3de4eb19aaba9eda9e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012676-n000004.json b/manifests/batches/oproofs/s00002-r00012676-n000004.json
index c6b65fae8bfd062e9567e82ad68455f1899822b0..c25011b1485bad779cbcf11213984fe262d53b00 100644
--- a/manifests/batches/oproofs/s00002-r00012676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012676-n000004",
   "batch_fingerprint": "7bb881f229cfd331cb8ddce727c91c4a99643702c3487651289bbaea37340f3c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012676-n000004-0000-b2e0c22df17668c7.parquet",
-      "sha256": "b2e0c22df17668c773f51c559b629fefe17ad94e9d6282299749772fb3f699ef",
-      "bytes": 397236,
-      "rows": 22,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012677.lean\",\"dc0e896ccc4e92612c09f6a2f721963c71fcbd2c6186515a0186fff3f0378f7d\",0,\"lean_workbook_16829\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012678.lean\",\"4ddaf8d46d64d9da50a35b591d1f8558da0e4a5ec755dd0baae201aaccf098c4\",0,\"lean_workbook_plus_13905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012679.lean\",\"9a1cda563f77d29e7bb875a4ab9a010986942f89c970717d52357c28672808bc\",0,\"lean_workbook_plus_40748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 397236,
+      "path": "data/train/p03/oproofs-s00002-r00012676-n000004-0000-b2e0c22df17668c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b2e0c22df17668c773f51c559b629fefe17ad94e9d6282299749772fb3f699ef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012680-n000004.json b/manifests/batches/oproofs/s00002-r00012680-n000004.json
index 3fb1f41927a904dfcd0a9d1a85d721ea5a6fe6c8..68b64d4a43a75147625d975704b9527117f607b5 100644
--- a/manifests/batches/oproofs/s00002-r00012680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012680-n000004",
   "batch_fingerprint": "340884c23f91e0bdca18b1b47e6836e15d6e4ae59a21a505cc18f88a19e46d91",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012680-n000004-0000-fdec341e8f246bad.parquet",
-      "sha256": "fdec341e8f246bad8edb07df9274c029ceea3e3c06087b0fa0d27999ead0b566",
-      "bytes": 132690,
-      "rows": 16,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12681",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012681.lean\",\"14da32a2d47f003da8146599e35e122b3d3f34953d56859596c298857570beca\",0,\"lean_workbook_plus_63326\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012682.lean\",\"a2d477873a83610014feaa508211bcd42daf46d4e22677e9f65c6ce356061ee8\",0,\"lean_workbook_plus_47656\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012683.lean\",\"18614799ca308f25b6a4045501d1c8d0c0ff6e052935f79a843299949dbef45d\",0,\"lean_workbook_plus_44484\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132690,
+      "path": "data/train/p8c/oproofs-s00002-r00012680-n000004-0000-fdec341e8f246bad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "fdec341e8f246bad8edb07df9274c029ceea3e3c06087b0fa0d27999ead0b566"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012684-n000004.json b/manifests/batches/oproofs/s00002-r00012684-n000004.json
index c612c2632afa394939632438a0c27a8ea8b63d4e..1fff80180adf836a6387559a046046d13644959c 100644
--- a/manifests/batches/oproofs/s00002-r00012684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012684-n000004",
   "batch_fingerprint": "d3fa85f8350a084e3f456266e032fbef042474d4882fa758acce6ca9e8bd94d9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012684-n000004-0000-aed5438bf3838715.parquet",
-      "sha256": "aed5438bf3838715169240fcf195c9644c93499d7cba57ac5d2ce14d7b3e7975",
-      "bytes": 219498,
-      "rows": 15,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012684-n000004-0000-57d47c689086688f.parquet",
-      "sha256": "57d47c689086688faa3ea8a69668342cbcc435eb9d9cca6e3de70e4f332d00fc",
-      "bytes": 39818,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12685",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012685.lean\",\"a4eed50a967367973f2c3945701ccc15173b4cbd2b06362ea076baa15ef0616f\",0,\"lean_workbook_plus_34593\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012686.lean\",\"edcd4ed3dffdb24d24b64e4bfe98d05805cf0b6e97aadfb5d25001cfff67fd4b\",0,\"lean_workbook_43318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012687.lean\",\"a5102a01cd72cddcdc427317c3240fd6afa32f917a7f421fd495862b03e9ab0b\",0,\"lean_workbook_plus_50518\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219498,
+      "path": "data/train/p82/oproofs-s00002-r00012684-n000004-0000-aed5438bf3838715.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "aed5438bf3838715169240fcf195c9644c93499d7cba57ac5d2ce14d7b3e7975"
+    },
+    {
+      "bytes": 39818,
+      "path": "data/internal_test/p82/oproofs-s00002-r00012684-n000004-0000-57d47c689086688f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "57d47c689086688faa3ea8a69668342cbcc435eb9d9cca6e3de70e4f332d00fc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012688-n000004.json b/manifests/batches/oproofs/s00002-r00012688-n000004.json
index be5ddbb29830410a032ef64c2f44ca30fee3cf43..e15517106a23cf999bf125253b66e290423320fe 100644
--- a/manifests/batches/oproofs/s00002-r00012688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012688-n000004",
   "batch_fingerprint": "4e7c3ed5059e96d7fcd4a3467e447753c781534b83a729df83b2997cb5a1f0be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012688-n000004-0000-200ce329d58c1529.parquet",
-      "sha256": "200ce329d58c152990b7468044da47b5d30df550f80e09bcbb23a14420b6cda7",
-      "bytes": 202849,
-      "rows": 18,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12689",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012689.lean\",\"8dadc05de653eca86aa7145e97e39b79ecb63f967cba3426626b3d90ca9707c1\",0,\"lean_workbook_plus_57325\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012690.lean\",\"e8131695a4b24c53ceacf8965b595afbf332ef3cb839eb0c3a09d4ba2f5182b3\",0,\"lean_workbook_plus_68481\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012691.lean\",\"1a5691036c9cf08bcf0ebdfd1791dbb9e02222dff9437367535dcfe592172a20\",0,\"lean_workbook_plus_78661\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202849,
+      "path": "data/train/pe5/oproofs-s00002-r00012688-n000004-0000-200ce329d58c1529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "200ce329d58c152990b7468044da47b5d30df550f80e09bcbb23a14420b6cda7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012692-n000004.json b/manifests/batches/oproofs/s00002-r00012692-n000004.json
index 5596cfaf23d9355c50b7be77c115acadc2b3eeb7..df4d99022f9c36de67dcc0576f949d609e6b1df5 100644
--- a/manifests/batches/oproofs/s00002-r00012692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012692-n000004",
   "batch_fingerprint": "39bcbcd59ad19cf90f066738864e53c436bf09d4717a1f92e9fdd0e0380011bc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012692-n000004-0000-936238e1316e7631.parquet",
-      "sha256": "936238e1316e7631c314180675c9ee8b9ecba64497d409340e69ca08a871253e",
-      "bytes": 316583,
-      "rows": 21,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012693.lean\",\"131e553e2804ed4087a3cdd0e7808dcf46ac0b0bbc05965c19c87d75b20db125\",0,\"lean_workbook_35587\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012694.lean\",\"c65cc8be54f2adac3850762a236c56ad4b12aa493f526b633284423db20a9e63\",0,\"lean_workbook_plus_81433\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012695.lean\",\"713e0f830a7806ba4e695222a0a81f14a96281fb59468cf83bed4a942f76bfe1\",0,\"lean_workbook_23598\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 316583,
+      "path": "data/train/pfa/oproofs-s00002-r00012692-n000004-0000-936238e1316e7631.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "936238e1316e7631c314180675c9ee8b9ecba64497d409340e69ca08a871253e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012696-n000004.json b/manifests/batches/oproofs/s00002-r00012696-n000004.json
index e3f188891435e388eb029a7ec84de7075f2551fd..d34a3976f4006442157cbf5888420ad26dd6fcf0 100644
--- a/manifests/batches/oproofs/s00002-r00012696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012696-n000004",
   "batch_fingerprint": "69e7e09fb8db0fa708dd7de30ef34af8de949d47d4cc90a4d08ad76f675bfe9f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012696-n000004-0000-2e8751ba821cd6ec.parquet",
-      "sha256": "2e8751ba821cd6ec95023a73a6fea5f4fb41ba569590abba0dca83efbbdb1fc4",
-      "bytes": 143170,
-      "rows": 20,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12697",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012697.lean\",\"220cd09fab7aa49664f6a5419268820a562132e37f80457ffee27469c7d03dbc\",0,\"lean_workbook_plus_37267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012698.lean\",\"f6b820c06ca29d907a170bd93b0f8b5541fe13aba1118bea2dbace6be519777d\",0,\"lean_workbook_plus_67945\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012699.lean\",\"ed70944ebd249adaff2ca3cb5cd7542b6b8347a851444fec3dc44a47d9ea236e\",0,\"lean_workbook_plus_28617\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143170,
+      "path": "data/train/pbb/oproofs-s00002-r00012696-n000004-0000-2e8751ba821cd6ec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "2e8751ba821cd6ec95023a73a6fea5f4fb41ba569590abba0dca83efbbdb1fc4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012700-n000004.json b/manifests/batches/oproofs/s00002-r00012700-n000004.json
index 29fe9223ceec70664d93075b2020708dd1b7d8d2..9fbae3cca28bdcb3b481eb732690dbeb7249f47b 100644
--- a/manifests/batches/oproofs/s00002-r00012700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012700-n000004",
   "batch_fingerprint": "49cacbcb0c90e5233e9d9425833cca984cc789ad6bec52ed9664d703c23c9c16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012700-n000004-0000-f00f8ed1e0dfa970.parquet",
-      "sha256": "f00f8ed1e0dfa9709cfc74713c4799593e7fb247fdcb6cc3807de4f8d39cc794",
-      "bytes": 134817,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012700-n000004-0000-ea363b91fbedcb31.parquet",
-      "sha256": "ea363b91fbedcb31f4c5b537082e0452519997e9f79c7f8ab7664b0b06ba41c6",
-      "bytes": 42772,
-      "rows": 3,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012701.lean\",\"78c7c6dd499a542c5b20a5917b1c1fd0900677763d260c786d1707dc177cecf1\",0,\"lean_workbook_plus_31607\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012702.lean\",\"3f585efa8984e7004ecdd90343e1a1617cdaeef2afb64c57586cd634f25d7b76\",0,\"max_cos_sin_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012703.lean\",\"c93bd4fc6c98e9d8e78cd4bf669976ccde1edf6a1bcb16cf0583dfe1eb64051e\",0,\"lean_workbook_37793\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134817,
+      "path": "data/train/p66/oproofs-s00002-r00012700-n000004-0000-f00f8ed1e0dfa970.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f00f8ed1e0dfa9709cfc74713c4799593e7fb247fdcb6cc3807de4f8d39cc794"
+    },
+    {
+      "bytes": 42772,
+      "path": "data/internal_test/p66/oproofs-s00002-r00012700-n000004-0000-ea363b91fbedcb31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "ea363b91fbedcb31f4c5b537082e0452519997e9f79c7f8ab7664b0b06ba41c6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012704-n000004.json b/manifests/batches/oproofs/s00002-r00012704-n000004.json
index 925e35ef99b5ae5e635ac6c9a0890a672d6a35c9..47f1862aa61b8b462ba346e15b1066eba6e1d96c 100644
--- a/manifests/batches/oproofs/s00002-r00012704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012704-n000004",
   "batch_fingerprint": "f5ef109b956dc459a0ad7bfd44e9d829430b83509351517a6dc25224fdc5cb18",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012704-n000004-0000-33489a7812e62e45.parquet",
-      "sha256": "33489a7812e62e45e9e3823cb7b8d0678752b719b6dcc76cb971b5a5f2e8b231",
-      "bytes": 726004,
-      "rows": 22,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12705",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012705.lean\",\"4e9fa1e9de06599d633950a03b1e9c51902b3afc09e27af9e6c2f17d74f0eec6\",0,\"lean_workbook_plus_49311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012706.lean\",\"3acb9bd0630c7ae8fbcf3e18d84df7593a5df9965f1caa6dff08823bf0a8fe19\",0,\"lean_workbook_plus_66801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012707.lean\",\"de0c0f3d35e8f6ec471a16d928ceb42b36e414ac7a64be33cc5a347258df2f20\",0,\"lean_workbook_plus_62593\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 726004,
+      "path": "data/train/p27/oproofs-s00002-r00012704-n000004-0000-33489a7812e62e45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "33489a7812e62e45e9e3823cb7b8d0678752b719b6dcc76cb971b5a5f2e8b231"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012708-n000004.json b/manifests/batches/oproofs/s00002-r00012708-n000004.json
index 831b6ef9c72b36516e0450bf42ae535f9ec41dc5..21484dbbfa3e039164d8678e89b2a286ded241bc 100644
--- a/manifests/batches/oproofs/s00002-r00012708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012708-n000004",
   "batch_fingerprint": "46091ea752556025a2ce0de1ab01bac76ac0a8ead7863bac703653618188e51d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012708-n000004-0000-65c006ea20e8d891.parquet",
-      "sha256": "65c006ea20e8d891a7655407093c86c0d3e0f80c4291d7da99330acb4bc6e266",
-      "bytes": 104267,
-      "rows": 8,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012708-n000004-0000-fe3fa62a0768aa85.parquet",
-      "sha256": "fe3fa62a0768aa858adf37a0c3b04ab77425b1b75eeb9d84af0945ff186d9e10",
-      "bytes": 371728,
-      "rows": 15,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12709",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012709.lean\",\"edd6ff224b9bd2016be86350c55c9fd56f4e39e9acc9e1df10dc26065437d72f\",0,\"lean_workbook_20652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012710.lean\",\"f2a828ef2446fd68e0e5ad464e537dee2227d7d954a3063f956eff2f4fa6ef3c\",0,\"lean_workbook_plus_26934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012711.lean\",\"5b498bd0b91c30543fa79fc33d528125bb81eb9806a3de6ac6c69d1bb38e258a\",0,\"lean_workbook_plus_7108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 104267,
+      "path": "data/train/p80/oproofs-s00002-r00012708-n000004-0000-65c006ea20e8d891.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "65c006ea20e8d891a7655407093c86c0d3e0f80c4291d7da99330acb4bc6e266"
+    },
+    {
+      "bytes": 371728,
+      "path": "data/internal_test/p80/oproofs-s00002-r00012708-n000004-0000-fe3fa62a0768aa85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fe3fa62a0768aa858adf37a0c3b04ab77425b1b75eeb9d84af0945ff186d9e10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012712-n000004.json b/manifests/batches/oproofs/s00002-r00012712-n000004.json
index 98852dd63762d600a861adc717fde2af4e3d34a4..4ffdce0c2326bff8fd4a87d22991a0926f70ad3c 100644
--- a/manifests/batches/oproofs/s00002-r00012712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012712-n000004",
   "batch_fingerprint": "a216bc647e0416f5d4dcf4c64edc842c67a0074c1e6ef3cf2b53f26c49363eb3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012712-n000004-0000-e21a1f916b6caa4f.parquet",
-      "sha256": "e21a1f916b6caa4f8ec428062080c4ac83944e0243e215d7530e843d18c70641",
-      "bytes": 453491,
-      "rows": 15,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012712-n000004-0000-ed2466bdc44a5cbe.parquet",
-      "sha256": "ed2466bdc44a5cbe2c4e5011cf37ca012e74c270c8ed3e3df16102f445d1be7f",
-      "bytes": 51266,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12713",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012713.lean\",\"6fc5f78a905cb842ed27553fb4f6ebd6ca9f01e5f2a83979c5574a721546b82b\",0,\"line_point_relation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012714.lean\",\"df466828d27a15b0d67523f15408b92be61b6b8c12823dd0ea571c1d5ced740b\",0,\"lean_workbook_plus_52934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012715.lean\",\"4ac1f3297d668eda7a9ce920f1693cfa170cdf6d0fa90a7c8d5aac92e9d2dd9d\",0,\"lean_workbook_plus_78075\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 453491,
+      "path": "data/train/p78/oproofs-s00002-r00012712-n000004-0000-e21a1f916b6caa4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e21a1f916b6caa4f8ec428062080c4ac83944e0243e215d7530e843d18c70641"
+    },
+    {
+      "bytes": 51266,
+      "path": "data/dev/p78/oproofs-s00002-r00012712-n000004-0000-ed2466bdc44a5cbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ed2466bdc44a5cbe2c4e5011cf37ca012e74c270c8ed3e3df16102f445d1be7f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012716-n000004.json b/manifests/batches/oproofs/s00002-r00012716-n000004.json
index 63089fe66d0770e98ea8f9ed6aaecd7cebd9667b..b2f5feadddb37a89dd91dce4c38f5633c79ec838 100644
--- a/manifests/batches/oproofs/s00002-r00012716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012716-n000004",
   "batch_fingerprint": "6952940d2ef6f2a2667e5faf2510936ee51f08952de2d074cdc09a8b7c74e004",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012716-n000004-0000-44266019d8f04971.parquet",
-      "sha256": "44266019d8f049710ab9ab64898e55dd670bf17623aa99dc04ae3dfb1b140ed7",
-      "bytes": 143119,
-      "rows": 11,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012716-n000004-0000-8a9d4c02f409118f.parquet",
-      "sha256": "8a9d4c02f409118f84a66dd5f8c55b2ba77a2fc71bb5525aa8bed78a1ce53f5d",
-      "bytes": 49979,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12717",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012717.lean\",\"5a604b788f822a7e197c85072c4e57071ea3b44d4d9d7d7744ae78ceb489e7d8\",0,\"fraction_sqrt_equation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012718.lean\",\"066d8d14d0a78d2ea8f5aa1fe7fa1de4681a47bb86232e3766e4ef396a8778ca\",0,\"lean_workbook_44013\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012719.lean\",\"29a49d78ad59bc8a27a33908a6e58c1f4927f7b18c73ac259b7cd235dfeb3816\",0,\"lean_workbook_plus_57691\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 143119,
+      "path": "data/train/p83/oproofs-s00002-r00012716-n000004-0000-44266019d8f04971.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "44266019d8f049710ab9ab64898e55dd670bf17623aa99dc04ae3dfb1b140ed7"
+    },
+    {
+      "bytes": 49979,
+      "path": "data/internal_test/p83/oproofs-s00002-r00012716-n000004-0000-8a9d4c02f409118f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8a9d4c02f409118f84a66dd5f8c55b2ba77a2fc71bb5525aa8bed78a1ce53f5d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012720-n000004.json b/manifests/batches/oproofs/s00002-r00012720-n000004.json
index a8922149edc023c930e30f9d5be36e7856c7fa5b..182da4d9bd472a9e7b43eff64ebfcb708e92556e 100644
--- a/manifests/batches/oproofs/s00002-r00012720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012720-n000004",
   "batch_fingerprint": "57c6fd02c617fc7e73211d226740f4dcda1dfc1153c05fd6db06ea4c6aa93ba2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012720-n000004-0000-0bcaebeb7888dd29.parquet",
-      "sha256": "0bcaebeb7888dd292fb00c9918fe8d9109214f1c8bb0c9812044fc0b5f2f71ff",
-      "bytes": 305141,
-      "rows": 17,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012720-n000004-0000-64aab0c418d7d2dd.parquet",
-      "sha256": "64aab0c418d7d2dd911374963740682c4eb11e1e929e2c05bb5dc39868cd64ca",
-      "bytes": 55910,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12721",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012721.lean\",\"f11242d28eea125d14c06cf55f121e832a2506e64ad39c78722f2943571dbe1d\",0,\"lean_workbook_24380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012722.lean\",\"ecdc50f69b341cbc52526fd9f80b015f952e578c61b8f11f44bb40a8eaa52613\",0,\"lean_workbook_31925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012723.lean\",\"7e4ce6e46fa0ea189c313187660a4ad3d2bf8e1f05dafbf9b3099843134c6280\",0,\"min_subtraction_for_divisibility\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 305141,
+      "path": "data/train/p25/oproofs-s00002-r00012720-n000004-0000-0bcaebeb7888dd29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "0bcaebeb7888dd292fb00c9918fe8d9109214f1c8bb0c9812044fc0b5f2f71ff"
+    },
+    {
+      "bytes": 55910,
+      "path": "data/dev/p25/oproofs-s00002-r00012720-n000004-0000-64aab0c418d7d2dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "64aab0c418d7d2dd911374963740682c4eb11e1e929e2c05bb5dc39868cd64ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012724-n000004.json b/manifests/batches/oproofs/s00002-r00012724-n000004.json
index 4d8bca3a6c4aa3822a5aacb9218c65709e861c95..7437fb5838111b4cbc987aa78b533d6f55e1748a 100644
--- a/manifests/batches/oproofs/s00002-r00012724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012724-n000004",
   "batch_fingerprint": "0e7d6a8add944b295ca110e1d7ca027f6094f4090e4d53d17e6c04280bffb463",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012724-n000004-0000-1f2577ac80f830db.parquet",
-      "sha256": "1f2577ac80f830db71ac6ea3552059f916f1e81ea2d20256871edf8f70d86cd0",
-      "bytes": 98812,
-      "rows": 13,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12725",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012725.lean\",\"831d7f5db91433e3bfd1dcbc4f2d99d59a458fce7008a5e846cef5512da82677\",0,\"lean_workbook_plus_71212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012726.lean\",\"87465f1d2d3447fe3acb7cd94c30170c9aaef054654de873420123cda36a86de\",0,\"lean_workbook_plus_65649\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012727.lean\",\"2f3546e62bb5bf26fc17530daf442368f7b4105ba8764d4ecffdc74a3c0538f6\",0,\"lean_workbook_plus_42629\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98812,
+      "path": "data/train/p26/oproofs-s00002-r00012724-n000004-0000-1f2577ac80f830db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "1f2577ac80f830db71ac6ea3552059f916f1e81ea2d20256871edf8f70d86cd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012728-n000004.json b/manifests/batches/oproofs/s00002-r00012728-n000004.json
index 527eeffcaf8538deb156947886825c13848adfa8..8359cbdb41451cdcaa41fddd1cdbcf0040396def 100644
--- a/manifests/batches/oproofs/s00002-r00012728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012728-n000004",
   "batch_fingerprint": "1938853bff31be59353954b69000224a23bb11e63b85044a70e23618f51dbcab",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012728-n000004-0000-1f3a54b33d5bd27e.parquet",
-      "sha256": "1f3a54b33d5bd27ea7ed443da181e532983ad1a12604cf64835800a4f1d396f1",
-      "bytes": 309456,
-      "rows": 25,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012728-n000004-0000-dff272a6c5146348.parquet",
-      "sha256": "dff272a6c51463482430c389fbee8ddf9420a55c90f3d3e85f3f0d3002a617a2",
-      "bytes": 140323,
-      "rows": 8,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012729.lean\",\"53b4c209ec033f64eb1060ae76e279befe56296704672c13d6d9e83ed68bd925\",0,\"lean_workbook_plus_57797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012730.lean\",\"d82082fb90c1758d937b015d476e7841b832abbb8afd6193791629d32e23d860\",0,\"lean_workbook_plus_71409\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012731.lean\",\"a60c1e905371db969cefacddf50dfd72587cc3478ec97e6edd3c66ccaf10ab5c\",0,\"lean_workbook_plus_19888\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 309456,
+      "path": "data/train/pde/oproofs-s00002-r00012728-n000004-0000-1f3a54b33d5bd27e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1f3a54b33d5bd27ea7ed443da181e532983ad1a12604cf64835800a4f1d396f1"
+    },
+    {
+      "bytes": 140323,
+      "path": "data/internal_test/pde/oproofs-s00002-r00012728-n000004-0000-dff272a6c5146348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "dff272a6c51463482430c389fbee8ddf9420a55c90f3d3e85f3f0d3002a617a2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012732-n000004.json b/manifests/batches/oproofs/s00002-r00012732-n000004.json
index 4d4392a1c89dbfb82b32d0538495cc13be4356f3..6a6c190435baa6c6b3eb538ad6f579f0f6760f72 100644
--- a/manifests/batches/oproofs/s00002-r00012732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012732-n000004",
   "batch_fingerprint": "c5c177a4cbbc9032ae26b191c678f9ef2d6dfc4056fe46880f172ac72a955eb6",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12732",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12733",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12734",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12735"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012732.lean\",\"ea7e25a3f59e3f64be5aa6841fec6cc1e5a14b944f1c9ebe3ec13c48c2ee079e\",0,\"lean_workbook_52973\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012733.lean\",\"dab4f42d605e112bd72e2cdaa6b405fdbec5cf33cc67364d6a1eb9cb297c4b52\",0,\"lean_workbook_plus_3106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012734.lean\",\"84408fa92fd4e24144781f29df32af20747f7e29a0cbdec8eaebb14caa4f69cc\",0,\"lean_workbook_plus_17247\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012735.lean\",\"ea8bad543371f8c3d3dfda34444f218e7f2bb329b5574a08ab4441e29fdcdd33\",0,\"lean_workbook_plus_27865\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012732-n000004-0000-9b0350772fc0d20b.parquet",
-      "sha256": "9b0350772fc0d20bc0b3c090d79c18603f85b16f3bc684c5ba6d607b9f487bab",
       "bytes": 796224,
+      "path": "data/train/p92/oproofs-s00002-r00012732-n000004-0000-9b0350772fc0d20b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "9b0350772fc0d20bc0b3c090d79c18603f85b16f3bc684c5ba6d607b9f487bab"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012732-n000004-0000-413d9af26b2529de.parquet",
-      "sha256": "413d9af26b2529de58dead80e9c1da4e085bb4e84bad35d4fd3497580c0aa6a9",
       "bytes": 41252,
+      "path": "data/dev/p92/oproofs-s00002-r00012732-n000004-0000-413d9af26b2529de.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "413d9af26b2529de58dead80e9c1da4e085bb4e84bad35d4fd3497580c0aa6a9"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012732-n000004-0000-0c93b4480f139036.parquet",
-      "sha256": "0c93b4480f139036c20bb74163a739184749ce0bd9023588ea9913bb0607d4f1",
       "bytes": 218922,
+      "path": "data/internal_test/p92/oproofs-s00002-r00012732-n000004-0000-0c93b4480f139036.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "0c93b4480f139036c20bb74163a739184749ce0bd9023588ea9913bb0607d4f1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12732",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12733",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12734",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12735"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012732.lean\",\"ea7e25a3f59e3f64be5aa6841fec6cc1e5a14b944f1c9ebe3ec13c48c2ee079e\",0,\"lean_workbook_52973\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012733.lean\",\"dab4f42d605e112bd72e2cdaa6b405fdbec5cf33cc67364d6a1eb9cb297c4b52\",0,\"lean_workbook_plus_3106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012734.lean\",\"84408fa92fd4e24144781f29df32af20747f7e29a0cbdec8eaebb14caa4f69cc\",0,\"lean_workbook_plus_17247\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012735.lean\",\"ea8bad543371f8c3d3dfda34444f218e7f2bb329b5574a08ab4441e29fdcdd33\",0,\"lean_workbook_plus_27865\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012736-n000004.json b/manifests/batches/oproofs/s00002-r00012736-n000004.json
index 2b2a697b5502d1415dba04ded602538e8d9c1ac8..2a0bb5af53ddc84691030a7079d397667e61fea8 100644
--- a/manifests/batches/oproofs/s00002-r00012736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012736-n000004",
   "batch_fingerprint": "60d47e7580bb39f80c0923cdd7ee1cefdca24216bc8d9a6e14616b0df63e47a9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012736-n000004-0000-192b1357a622c86c.parquet",
-      "sha256": "192b1357a622c86c1df22bcbce236e5ddf13966986c99d83b2090e5ec3808681",
-      "bytes": 525096,
-      "rows": 22,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012736-n000004-0000-2c17349f0c0a6bcb.parquet",
-      "sha256": "2c17349f0c0a6bcb8f25683331a95f10d58a93ceb35df3eb4fef0b33af69b261",
-      "bytes": 143774,
-      "rows": 6,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12737",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012737.lean\",\"56bfe010c5768bdf67c42eb029c8d8507ede9a72c5e4ab41c47a5a83f534c35c\",0,\"lean_workbook_plus_6986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012738.lean\",\"0aec03a7ca99bbb955f9c118684620211ed984a0e1a2462edc0d47856d0f1ab3\",0,\"lean_workbook_plus_2840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012739.lean\",\"a9c82b575b1b95522e42f22073062f85a30b7bfc9c44cfcfccd720b3062639d1\",0,\"lean_workbook_plus_43446\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 525096,
+      "path": "data/train/p96/oproofs-s00002-r00012736-n000004-0000-192b1357a622c86c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "192b1357a622c86c1df22bcbce236e5ddf13966986c99d83b2090e5ec3808681"
+    },
+    {
+      "bytes": 143774,
+      "path": "data/internal_test/p96/oproofs-s00002-r00012736-n000004-0000-2c17349f0c0a6bcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "2c17349f0c0a6bcb8f25683331a95f10d58a93ceb35df3eb4fef0b33af69b261"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012740-n000004.json b/manifests/batches/oproofs/s00002-r00012740-n000004.json
index c22c143d2246760c765f3c1a0a939d6fbfbff4a2..1d0064a6dd294a1a5917f27571b4d08a6e812d5c 100644
--- a/manifests/batches/oproofs/s00002-r00012740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012740-n000004",
   "batch_fingerprint": "1b35512ed481500fa44cd91f50667846f8548be2777bb2c37ebc55f483fa73b9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12740",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12741",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12742",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12743"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012740.lean\",\"c0b21473a305009819befcd5dfe06da60cd9bfef695a20f5381e756209c0241c\",0,\"lean_workbook_15585\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012741.lean\",\"65fc87da1a1a67fc54bcd7ef67c93a1e55830ae7afe35748c0664ec6d3490e0f\",0,\"lean_workbook_plus_47179\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012742.lean\",\"b513cb3d4a4c49fec47bf0e302aa71866b92f545ea0276d7b768024b847d2e65\",0,\"lean_workbook_plus_37445\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012743.lean\",\"563bb490d8fbf035d824554fb45e46ce9989ed9fdabf0f02b7a40df7a09cc310\",0,\"lean_workbook_plus_7415\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012740-n000004-0000-18fddde69c3eaabe.parquet",
-      "sha256": "18fddde69c3eaabe84fa7082cd0a30acfbb56d06f84567e5266b52be37d0931d",
       "bytes": 226621,
+      "path": "data/train/pa1/oproofs-s00002-r00012740-n000004-0000-18fddde69c3eaabe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
+      "sha256": "18fddde69c3eaabe84fa7082cd0a30acfbb56d06f84567e5266b52be37d0931d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012740-n000004-0000-606f76721ff61e74.parquet",
-      "sha256": "606f76721ff61e74dbc5d723fe8fa3b1c5202f1516e64065d5e965fb38fcf4b2",
       "bytes": 77000,
+      "path": "data/dev/pa1/oproofs-s00002-r00012740-n000004-0000-606f76721ff61e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
+      "sha256": "606f76721ff61e74dbc5d723fe8fa3b1c5202f1516e64065d5e965fb38fcf4b2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012740-n000004-0000-4a875d257ec905c5.parquet",
-      "sha256": "4a875d257ec905c5d5466f420ced2cd6ac5d2fde459f8896349422f6368eacb2",
       "bytes": 46810,
+      "path": "data/internal_test/pa1/oproofs-s00002-r00012740-n000004-0000-4a875d257ec905c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
+      "sha256": "4a875d257ec905c5d5466f420ced2cd6ac5d2fde459f8896349422f6368eacb2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12740",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12741",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12742",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12743"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012740.lean\",\"c0b21473a305009819befcd5dfe06da60cd9bfef695a20f5381e756209c0241c\",0,\"lean_workbook_15585\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012741.lean\",\"65fc87da1a1a67fc54bcd7ef67c93a1e55830ae7afe35748c0664ec6d3490e0f\",0,\"lean_workbook_plus_47179\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012742.lean\",\"b513cb3d4a4c49fec47bf0e302aa71866b92f545ea0276d7b768024b847d2e65\",0,\"lean_workbook_plus_37445\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012743.lean\",\"563bb490d8fbf035d824554fb45e46ce9989ed9fdabf0f02b7a40df7a09cc310\",0,\"lean_workbook_plus_7415\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012744-n000004.json b/manifests/batches/oproofs/s00002-r00012744-n000004.json
index d59a3e888da681107b3f6effd9468bcadcb43140..cc8254f31c354996e2d438721dccc25200c5f039 100644
--- a/manifests/batches/oproofs/s00002-r00012744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012744-n000004",
   "batch_fingerprint": "2698d05458164bb44476dce78d4479636cb76074946830bb356cde92410e2be5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012744-n000004-0000-f5c13352d04ff93e.parquet",
-      "sha256": "f5c13352d04ff93e8b8cc1e78173a52f7be4f0e4e9549727f60aa2026d506090",
-      "bytes": 67992,
-      "rows": 5,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012744-n000004-0000-a2116ef4e8e60178.parquet",
-      "sha256": "a2116ef4e8e6017885403b8eaea3fb706eeff143941bf5c2b75ff3a9ee67ee14",
-      "bytes": 74861,
-      "rows": 9,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012745.lean\",\"0c962f9cf3bde236d245c53308a157faa2860c281b3bef96014ca21e76f70cce\",0,\"lean_workbook_plus_4163\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012746.lean\",\"b7f05a9a2dfa7035cd3662345419338814fde2fdeec7b5a129003a70cbbabfbe\",0,\"lean_workbook_plus_26364\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012747.lean\",\"198a158e3eee8a8bc8bef0f9680a65610cd6d67de0bd4829333e9815f24b50fb\",0,\"lean_workbook_plus_26908\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67992,
+      "path": "data/train/p19/oproofs-s00002-r00012744-n000004-0000-f5c13352d04ff93e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f5c13352d04ff93e8b8cc1e78173a52f7be4f0e4e9549727f60aa2026d506090"
+    },
+    {
+      "bytes": 74861,
+      "path": "data/internal_test/p19/oproofs-s00002-r00012744-n000004-0000-a2116ef4e8e60178.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a2116ef4e8e6017885403b8eaea3fb706eeff143941bf5c2b75ff3a9ee67ee14"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012748-n000004.json b/manifests/batches/oproofs/s00002-r00012748-n000004.json
index e51a70875bff74670c720e2912c91fb198b0be75..68525b46fa49e1f593d1557d666dab79b1e6ef94 100644
--- a/manifests/batches/oproofs/s00002-r00012748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012748-n000004",
   "batch_fingerprint": "459a18b8136382ad33085fd1ceb17406f5a53a8ad1a491a6aa4fa03375356c3b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012748-n000004-0000-c74e0e2db2cfa3e2.parquet",
-      "sha256": "c74e0e2db2cfa3e2980074122cedd4432d0f75708c58eb41e2a896435283d4ae",
-      "bytes": 1183755,
-      "rows": 19,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012748-n000004-0001-5c582ca93f87ac3b.parquet",
-      "sha256": "5c582ca93f87ac3b507c2f5ec6fd95481e63f31098e9068126f9fdfe3352e830",
-      "bytes": 154669,
-      "rows": 7,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12749",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012749.lean\",\"48096e58f285137838131b8b23ae031d65238d97cbec0d25ae5cf5ee5a762338\",0,\"lean_workbook_plus_58696\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012750.lean\",\"44077a062ccdc6c77f0a1e7c1179eec014bbf1357d934aef4a0f5f761cab876c\",0,\"lean_workbook_plus_66217\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012751.lean\",\"3dda7912950e18043806c7619700821871c65164f7abeccca4d842667bec186c\",0,\"lean_workbook_plus_56963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1183755,
+      "path": "data/train/p7a/oproofs-s00002-r00012748-n000004-0000-c74e0e2db2cfa3e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "c74e0e2db2cfa3e2980074122cedd4432d0f75708c58eb41e2a896435283d4ae"
+    },
+    {
+      "bytes": 154669,
+      "path": "data/train/p7a/oproofs-s00002-r00012748-n000004-0001-5c582ca93f87ac3b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "5c582ca93f87ac3b507c2f5ec6fd95481e63f31098e9068126f9fdfe3352e830"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012752-n000004.json b/manifests/batches/oproofs/s00002-r00012752-n000004.json
index 833f96e2754961da551688c308d8a174e4bc20f5..0e5a2540b56ebb4a77b27935168a5698cf498e9c 100644
--- a/manifests/batches/oproofs/s00002-r00012752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012752-n000004",
   "batch_fingerprint": "14e7671524821ce3599edb342cd0535fb4c29bc1ad9bc4864e3099b73cf740ba",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012752-n000004-0000-607b6fba06c7b8d9.parquet",
-      "sha256": "607b6fba06c7b8d9affd8cbf1dc49a04384a88e49172c25c19cbbc5bd944f17c",
-      "bytes": 446678,
-      "rows": 26,
-      "revision": "0cf5ad4dba73a51851a5cda3657e8e4b976319c0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12753",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012752.lean\",\"35cb1770a5e8e1532de60b80e5712ecad960e95039d6502bc3a5bd30d9a5fada\",0,\"lean_workbook_plus_29844\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012753.lean\",\"cfa06c45b8e10496a31cd7ae0b8d0a4bcbf80d424dff7594475b8fea266d1484\",0,\"lean_workbook_plus_45330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012754.lean\",\"0e7a77c396066b100824a2c05735a0fc7af6f34ddc5e16cbc268e34078851573\",0,\"lean_workbook_39323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 446678,
+      "path": "data/train/p3d/oproofs-s00002-r00012752-n000004-0000-607b6fba06c7b8d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "607b6fba06c7b8d9affd8cbf1dc49a04384a88e49172c25c19cbbc5bd944f17c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012756-n000004.json b/manifests/batches/oproofs/s00002-r00012756-n000004.json
index 2be07e0b543d88919e1fdfff40e7b012f38156c2..3a15dc2ff1a84b268c513e520c954f96cd5784bd 100644
--- a/manifests/batches/oproofs/s00002-r00012756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012756-n000004",
   "batch_fingerprint": "5975750f788fad0ba7de63fa465d33d0d0b44e185a79aa10af6bbe3a9e25f727",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012756-n000004-0000-398aa8300144a568.parquet",
-      "sha256": "398aa8300144a5680ae87194e7eb3e6fe3b981232589978b90417f3711183d97",
-      "bytes": 148296,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012757.lean\",\"8263840f928c711957152e69bef148c1911281e8312c2bfd49229f4783ba32df\",0,\"triangle_special_lines_perpendicular\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012758.lean\",\"40fcacdfad2fd3fa75671867bd52df9f7ed5e0c1322e73e715998fe2fb3c6f64\",0,\"lean_workbook_plus_44312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012759.lean\",\"9ce83a9614887d6da21822b3c03a8f52a90aa0fd765d5e532eac53980be74bc7\",0,\"complex_equation_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148296,
+      "path": "data/train/p1b/oproofs-s00002-r00012756-n000004-0000-398aa8300144a568.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "398aa8300144a5680ae87194e7eb3e6fe3b981232589978b90417f3711183d97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012760-n000004.json b/manifests/batches/oproofs/s00002-r00012760-n000004.json
index 0d0c0d50afdb907ef80ab9d1940fc07556687e70..d5e9f1b531ba795e1aa3ed1cdaed2493e2aca1eb 100644
--- a/manifests/batches/oproofs/s00002-r00012760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012760-n000004",
   "batch_fingerprint": "f3824625f040b89b19edf5c6d0423bb471373a1aa20800149b3360d47dd3059f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012760-n000004-0000-56de55ff921308b1.parquet",
-      "sha256": "56de55ff921308b160f88c917cb0ec34c0f98da627be3c6f04d84bccf48305f9",
-      "bytes": 78199,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012760-n000004-0000-92f5d1545e0d3a37.parquet",
-      "sha256": "92f5d1545e0d3a37fa5d720dc7f50f169104b2f4285333f2791e46a998fa4480",
-      "bytes": 61356,
-      "rows": 6,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12761",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012761.lean\",\"7a8d5d746db58bea8e55051b65224bdc17e8cd68b0283b9f9a17d96c7126e26d\",0,\"lean_workbook_plus_7282\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012762.lean\",\"0ddba0f2553d5569a7719ca1c902d1472efa70c27072a3e60ca35d4123596a33\",0,\"lean_workbook_1637\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012763.lean\",\"dc1f3f27cb7eb68ae01abb11915ee19c966906cf2a2c3e0b587f02d0eea19d4d\",0,\"lean_workbook_plus_33452\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 78199,
+      "path": "data/train/p2e/oproofs-s00002-r00012760-n000004-0000-56de55ff921308b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "56de55ff921308b160f88c917cb0ec34c0f98da627be3c6f04d84bccf48305f9"
+    },
+    {
+      "bytes": 61356,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00012760-n000004-0000-92f5d1545e0d3a37.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "92f5d1545e0d3a37fa5d720dc7f50f169104b2f4285333f2791e46a998fa4480"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012764-n000004.json b/manifests/batches/oproofs/s00002-r00012764-n000004.json
index 04c62fcd4d89a8e9ea25c3a2f550ce007b0d13dd..949314b64bc7088d6d38dd4e03e3a2240428d761 100644
--- a/manifests/batches/oproofs/s00002-r00012764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012764-n000004",
   "batch_fingerprint": "cd8a3562ebff361cdae57d3aeb931b0cfc68839372a8ddc4975e8d66b204816e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012764-n000004-0000-b2cacc05515b40c7.parquet",
-      "sha256": "b2cacc05515b40c7068390e59950229293525e4886e8ea76a579a5094da81bfa",
-      "bytes": 141112,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012764-n000004-0000-c52a29108f7afae0.parquet",
-      "sha256": "c52a29108f7afae04fd57a4535280805ef6362a55813053005f57e1ed5acb149",
-      "bytes": 108151,
-      "rows": 8,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12765",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012765.lean\",\"4bc92d4cf78295e409a4b0eda2c04545567ea91ff261636e022fd5a5ef53d8d1\",0,\"lean_workbook_28804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012766.lean\",\"09a5cfe1a8841fb4e11e5bf6c6724201369932986af603c1e8dd8a526a6469a4\",0,\"lean_workbook_plus_18222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012767.lean\",\"83a3a2754fba56a3c783fa90436361e6ff34cd9b9c97c4faaa0cfd59fdaae038\",0,\"lean_workbook_plus_72383\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141112,
+      "path": "data/train/pc0/oproofs-s00002-r00012764-n000004-0000-b2cacc05515b40c7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "b2cacc05515b40c7068390e59950229293525e4886e8ea76a579a5094da81bfa"
+    },
+    {
+      "bytes": 108151,
+      "path": "data/dev/pc0/oproofs-s00002-r00012764-n000004-0000-c52a29108f7afae0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "c52a29108f7afae04fd57a4535280805ef6362a55813053005f57e1ed5acb149"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012768-n000004.json b/manifests/batches/oproofs/s00002-r00012768-n000004.json
index 807a21d318047afd48fe4ff3b6aff7935cc44b45..43f3895f40656ca4a72294503c00b5d20e4de788 100644
--- a/manifests/batches/oproofs/s00002-r00012768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012768-n000004",
   "batch_fingerprint": "784671b06173f11ee2ef3bb194bb2cc9e1b36a12b005e60ab9a15d37c0b7a3cd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012768-n000004-0000-13c33a9af579205c.parquet",
-      "sha256": "13c33a9af579205cd293f6fe0d4b362fce7bf9b6ad2ae89db4fdc284e15c809c",
-      "bytes": 67608,
-      "rows": 7,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012768-n000004-0000-01eac91c43d016a3.parquet",
-      "sha256": "01eac91c43d016a341cb248615ca1c3b2d304b9349c1a655c3d6f6a8503138b4",
-      "bytes": 58216,
-      "rows": 6,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12769",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012769.lean\",\"adc1693a9110bcf9e5ca152caffcbf4189c3cb8a2907e63fad189f51fa8f62ab\",0,\"solid_volume\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012770.lean\",\"805dcfae8541c1d5018acc9d00451089982c8bd2cc461087fd6a810d0f51cc9d\",0,\"lean_workbook_plus_11815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012771.lean\",\"106f31b7f050f56fa00517aee29e54207d5881b1553bd3cf698fa5cad6c74d38\",0,\"lean_workbook_plus_74409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 67608,
+      "path": "data/train/p1e/oproofs-s00002-r00012768-n000004-0000-13c33a9af579205c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "13c33a9af579205cd293f6fe0d4b362fce7bf9b6ad2ae89db4fdc284e15c809c"
+    },
+    {
+      "bytes": 58216,
+      "path": "data/internal_test/p1e/oproofs-s00002-r00012768-n000004-0000-01eac91c43d016a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "01eac91c43d016a341cb248615ca1c3b2d304b9349c1a655c3d6f6a8503138b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012772-n000004.json b/manifests/batches/oproofs/s00002-r00012772-n000004.json
index f35177fe259092c79ff55d92ebe857cc20239d00..bd43ed250b4467e96a375cadbfdb12df57e56244 100644
--- a/manifests/batches/oproofs/s00002-r00012772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012772-n000004",
   "batch_fingerprint": "e96aa3d12273a6edce5d1dee8a8275be359b82e202ec1b16363a158304da88d7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12772",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12773",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12774",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12775"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012772.lean\",\"d560437a47f9d660dacdfca1ef632e80c56bff256f642200145c4de2dbafd365\",0,\"lean_workbook_plus_66012\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012773.lean\",\"e4789bba1d6a08d7a0f8b204b6dddb9b74a331dbeba4471b3ca744e19bed5345\",0,\"lean_workbook_plus_41135\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012774.lean\",\"63038e588e637bb7b2c0065e28571dc4aade5e64068052eae919798eaa6597f3\",0,\"lean_workbook_plus_30946\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012775.lean\",\"05d9ea4f67d63174d53cc740e3d11f0479ac9b08ee26906976f872988eb0035c\",0,\"lean_workbook_32775\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012772-n000004-0000-47c42d2b2606cb55.parquet",
-      "sha256": "47c42d2b2606cb5539a9e415283a0ad6434904c362168dc4dbafd690112b3085",
       "bytes": 97824,
+      "path": "data/train/pcf/oproofs-s00002-r00012772-n000004-0000-47c42d2b2606cb55.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "47c42d2b2606cb5539a9e415283a0ad6434904c362168dc4dbafd690112b3085"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012772-n000004-0000-2555c105984c2a41.parquet",
-      "sha256": "2555c105984c2a41ff8fbe7397c86fdd4af2a0edaad25b9bb7fbfa5367904ed2",
       "bytes": 156828,
+      "path": "data/dev/pcf/oproofs-s00002-r00012772-n000004-0000-2555c105984c2a41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "2555c105984c2a41ff8fbe7397c86fdd4af2a0edaad25b9bb7fbfa5367904ed2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012772-n000004-0000-3bc2a7c3ca8eb1c2.parquet",
-      "sha256": "3bc2a7c3ca8eb1c2d60ffb4925c9288c0fd60f4a7bde07a23a88a3907e27cfac",
       "bytes": 137594,
+      "path": "data/internal_test/pcf/oproofs-s00002-r00012772-n000004-0000-3bc2a7c3ca8eb1c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
+      "sha256": "3bc2a7c3ca8eb1c2d60ffb4925c9288c0fd60f4a7bde07a23a88a3907e27cfac"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12772",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12773",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12774",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12775"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012772.lean\",\"d560437a47f9d660dacdfca1ef632e80c56bff256f642200145c4de2dbafd365\",0,\"lean_workbook_plus_66012\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012773.lean\",\"e4789bba1d6a08d7a0f8b204b6dddb9b74a331dbeba4471b3ca744e19bed5345\",0,\"lean_workbook_plus_41135\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012774.lean\",\"63038e588e637bb7b2c0065e28571dc4aade5e64068052eae919798eaa6597f3\",0,\"lean_workbook_plus_30946\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012775.lean\",\"05d9ea4f67d63174d53cc740e3d11f0479ac9b08ee26906976f872988eb0035c\",0,\"lean_workbook_32775\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012776-n000004.json b/manifests/batches/oproofs/s00002-r00012776-n000004.json
index eee4a19c81b891d9c2580eea50d2cd26d3a5875a..0b4549bff9f85b22d091f241fd016956add65e76 100644
--- a/manifests/batches/oproofs/s00002-r00012776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012776-n000004",
   "batch_fingerprint": "af71efb3e06bed6ceffb2b32715fd994781b709d46777339b8f77852de777163",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012776-n000004-0000-e31b4fa1124796e5.parquet",
-      "sha256": "e31b4fa1124796e5bb70a5e718f9ce95cbac39153b7ab3c7e2a0b69d81816e32",
-      "bytes": 136392,
-      "rows": 16,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012776-n000004-0000-1e963b975102e9fe.parquet",
-      "sha256": "1e963b975102e9fec31b8d7e6f258368fe89c7a18363bee9068bfb726567599d",
-      "bytes": 41496,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012777.lean\",\"8b8e4383b0111ce51df4bbd736eb5f5063d6f8c8cdb132d8514b39e319437898\",0,\"lean_workbook_54369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012778.lean\",\"02f78ece93ac3c3c3f6786b6d6f1ee064ccbc590c63826eb6c8fe92a9fb73ff1\",0,\"lean_workbook_plus_70045\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012779.lean\",\"b4a8dcb8cac265429040808dfeb5438fa5286bec9374cf71528b6d315cde91bc\",0,\"lean_workbook_plus_48166\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136392,
+      "path": "data/train/p40/oproofs-s00002-r00012776-n000004-0000-e31b4fa1124796e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "e31b4fa1124796e5bb70a5e718f9ce95cbac39153b7ab3c7e2a0b69d81816e32"
+    },
+    {
+      "bytes": 41496,
+      "path": "data/internal_test/p40/oproofs-s00002-r00012776-n000004-0000-1e963b975102e9fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1e963b975102e9fec31b8d7e6f258368fe89c7a18363bee9068bfb726567599d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012780-n000004.json b/manifests/batches/oproofs/s00002-r00012780-n000004.json
index c3a773d627a1e50fc7ae1c5504cb83cde27f83af..e59fde7d8c3b6461342ecc6db7552b274767b9e0 100644
--- a/manifests/batches/oproofs/s00002-r00012780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012780-n000004",
   "batch_fingerprint": "27d16fe837f68fd966cd729757cdc67b438c184cf9dc0b59b42de2cdda3b6921",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012780-n000004-0000-0f5cef5c88617844.parquet",
-      "sha256": "0f5cef5c886178440e4c4262e48484e218e8a67d4c832edcb1814261fc29b09a",
-      "bytes": 92243,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012781.lean\",\"b517ec840ef4c2268522c9b8740175d6b52b3885f287e169016e4d8256a5907f\",0,\"lean_workbook_plus_13905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012782.lean\",\"9df1a872a9dcf57eb5ebb3c774583113a31dc99373cf4749daa70dba3aee38a0\",0,\"lean_workbook_45311\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012783.lean\",\"7d0868c2d6ccfdc9de330a09d5c52bc4b0404e252b169dda38f995adcc066e1a\",0,\"lean_workbook_plus_63326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92243,
+      "path": "data/train/pfa/oproofs-s00002-r00012780-n000004-0000-0f5cef5c88617844.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "0f5cef5c886178440e4c4262e48484e218e8a67d4c832edcb1814261fc29b09a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012784-n000004.json b/manifests/batches/oproofs/s00002-r00012784-n000004.json
index a8677c2531b44f07af6817ead277372a6508918a..3885fa1ebb53b9fcd747395dc6826c069dcf3219 100644
--- a/manifests/batches/oproofs/s00002-r00012784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012784-n000004",
   "batch_fingerprint": "60e8cf58befa70a4aa0884d61cb4f7fffbc8f044f7f9019264f854262c95ed90",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012784-n000004-0000-a2a8a3da6e091c65.parquet",
-      "sha256": "a2a8a3da6e091c6500c46bcd88ef307aaefdb33699157a10ccc8cef29ed2d58e",
-      "bytes": 152453,
-      "rows": 14,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012784-n000004-0000-b30d96af0d3e73b4.parquet",
-      "sha256": "b30d96af0d3e73b46c35ca04af31dcbb3da470e876f0c05ce63c5f1157151cfa",
-      "bytes": 35101,
-      "rows": 2,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12785",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012785.lean\",\"acd55939ad42ffaf05cc4812af0862d22b715d1efc68eaced0b67337bcdd9541\",0,\"lean_workbook_plus_79270\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012786.lean\",\"d30daa8bf42a8bc2b37b82cdb36ed528533266dcc855669830b90e35789cdb35\",0,\"lean_workbook_plus_34593\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012787.lean\",\"737010ec850b481de4d5ef235a496dba3ff7878dce4a21fdc8d1663b6dfe7eeb\",0,\"lean_workbook_plus_40748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 152453,
+      "path": "data/train/p6d/oproofs-s00002-r00012784-n000004-0000-a2a8a3da6e091c65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "a2a8a3da6e091c6500c46bcd88ef307aaefdb33699157a10ccc8cef29ed2d58e"
+    },
+    {
+      "bytes": 35101,
+      "path": "data/internal_test/p6d/oproofs-s00002-r00012784-n000004-0000-b30d96af0d3e73b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b30d96af0d3e73b46c35ca04af31dcbb3da470e876f0c05ce63c5f1157151cfa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012788-n000004.json b/manifests/batches/oproofs/s00002-r00012788-n000004.json
index 985ac2dc4e3ea0e9dc6dc8c7ae594ab5dab33a92..f183402c7383e025869f034ae6c6e26b7cc25e41 100644
--- a/manifests/batches/oproofs/s00002-r00012788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012788-n000004",
   "batch_fingerprint": "006a91069d085baafb3dbf8720bd344b24fd3a02bbb0829629c4efdb9269b926",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012788-n000004-0000-f11bdc553ff1427e.parquet",
-      "sha256": "f11bdc553ff1427e511ac1af315a335183f1f03f7dbfcec131f87a624e30be33",
-      "bytes": 352226,
-      "rows": 12,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012789.lean\",\"60335d38075a7defec75320ee25373a855afe35993a08b08c0f33a31681d5120\",0,\"lean_workbook_plus_50518\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012790.lean\",\"f252c168fbba42c8849015cf8dd5ad7407064410fe1bfd74050aad57a5003857\",0,\"lean_workbook_plus_43324\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012791.lean\",\"cc59c7c3cdce9033314222edbc873422a2b92c54bb7f4f07c21054568a0fc131\",0,\"lean_workbook_plus_24377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352226,
+      "path": "data/train/p6e/oproofs-s00002-r00012788-n000004-0000-f11bdc553ff1427e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f11bdc553ff1427e511ac1af315a335183f1f03f7dbfcec131f87a624e30be33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012792-n000004.json b/manifests/batches/oproofs/s00002-r00012792-n000004.json
index 232a41c3f6a8a7409150c7dc2deaef30f1f38b6c..88a3ce5368ac988b19f1acb71c0101720d702fd0 100644
--- a/manifests/batches/oproofs/s00002-r00012792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012792-n000004",
   "batch_fingerprint": "c590bc02d1464f6a260fed084ff5c03356eec107e49dfb7f00be5a12bba05953",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012792-n000004-0000-42a89f031999ddc9.parquet",
-      "sha256": "42a89f031999ddc99190c7fb4fe3ce7720f728831a63116a5070ef5d5b1b038e",
-      "bytes": 117702,
-      "rows": 8,
-      "revision": "62f3f1b9aadacf7c93bb32d1ab984489929b073b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12793",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012792.lean\",\"de18fa2a9a5dbe42291e7958c6df63bfe68f18e00baa6404365dc36832062ebd\",0,\"lean_workbook_plus_68481\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012793.lean\",\"11a516af480e40d51b70c3084d6c2e4622a39332fc14f1c7b409016b78f845b3\",0,\"lean_workbook_plus_78661\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012795.lean\",\"b5be8a6171070ec68f80066aaa7f20432ede069b9898723766e9ed53a3f2a488\",0,\"lean_workbook_plus_81433\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117702,
+      "path": "data/train/p54/oproofs-s00002-r00012792-n000004-0000-42a89f031999ddc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "42a89f031999ddc99190c7fb4fe3ce7720f728831a63116a5070ef5d5b1b038e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012796-n000004.json b/manifests/batches/oproofs/s00002-r00012796-n000004.json
index ab42eb515e5a426533bae02b7523410b0503c6fd..04e9b4c78fbc2c451a9b7b47f257435d3db217f2 100644
--- a/manifests/batches/oproofs/s00002-r00012796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012796-n000004",
   "batch_fingerprint": "2f7cab7b5ba63bbc0af082efa6730022702f41c385604fa167b44d081af97330",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012796-n000004-0000-ca4db60c46b4df6b.parquet",
-      "sha256": "ca4db60c46b4df6b0d4f1a3663003aea02ab739209b17ff390083d51adf3fd10",
-      "bytes": 666996,
-      "rows": 19,
-      "revision": "5ed77ffb99941bf7b27f6ea02d7aa84b3ea71b67"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12797",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012797.lean\",\"21ce342bcae4e27132e0fe96d5575b3c29080db94b4c9380369217549926e5b0\",0,\"lean_workbook_plus_62398\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012798.lean\",\"d726fc462ea430b7886057ee3406b86e8dc8ffff6b58c7671e3d1d4500009779\",0,\"lean_workbook_23598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012799.lean\",\"91062dd303fa0260183e3b960d1cf69dc3ffec7a75537782d0cd3117743da9fb\",0,\"lean_workbook_43713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 666996,
+      "path": "data/train/peb/oproofs-s00002-r00012796-n000004-0000-ca4db60c46b4df6b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "ca4db60c46b4df6b0d4f1a3663003aea02ab739209b17ff390083d51adf3fd10"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012800-n000004.json b/manifests/batches/oproofs/s00002-r00012800-n000004.json
index d261f0a06be53592f7800becd3ce9d7cc652c531..22e858d65484092ea2a90a7b8fa69390f8e75d6b 100644
--- a/manifests/batches/oproofs/s00002-r00012800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012800-n000004",
   "batch_fingerprint": "c7d2630cc94773a8012210f2277ac61ba37b6af420f6bb7480e5f935a0dd01d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012800-n000004-0000-f0514be0760d4213.parquet",
-      "sha256": "f0514be0760d4213a4cba4b45660077dbb995b7a95cf986ac1e4aa3eedd85866",
-      "bytes": 101643,
-      "rows": 11,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012800-n000004-0000-6e739138ad6cf5cd.parquet",
-      "sha256": "6e739138ad6cf5cd111a81c3e3f953e0c4917875ac4f3c76c3aa7e48a4b73c32",
-      "bytes": 44759,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12801",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012801.lean\",\"83e35ac94f2999840ea82536b600fea7c42ee8c83bbb3bb5ab1a31dd478df399\",0,\"lean_workbook_plus_28617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012802.lean\",\"895370e21e6fe22d5b12ca669ce86aad3112ccea865e0b0ba22f993aaf7d4b91\",0,\"lean_workbook_47497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012803.lean\",\"686649ef56c88d0814c2748778669333e351cc004de44a29206ba2a2fe716742\",0,\"lean_workbook_plus_31607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101643,
+      "path": "data/train/p40/oproofs-s00002-r00012800-n000004-0000-f0514be0760d4213.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f0514be0760d4213a4cba4b45660077dbb995b7a95cf986ac1e4aa3eedd85866"
+    },
+    {
+      "bytes": 44759,
+      "path": "data/internal_test/p40/oproofs-s00002-r00012800-n000004-0000-6e739138ad6cf5cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "6e739138ad6cf5cd111a81c3e3f953e0c4917875ac4f3c76c3aa7e48a4b73c32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012804-n000004.json b/manifests/batches/oproofs/s00002-r00012804-n000004.json
index 13698a0b2a61e76fbcb5bf38a62952784303f33e..72dd9e66b4daf1f10924f4e9e4e9813ffcbeb969 100644
--- a/manifests/batches/oproofs/s00002-r00012804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012804-n000004",
   "batch_fingerprint": "2135165bda9c3797e3b396ef7a862461b11e46e47c8b1af29645b5e865ee2068",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012804-n000004-0000-a14906c400dca619.parquet",
-      "sha256": "a14906c400dca6194d1e4e908196345a470a41afc91954d004a57e05505cd583",
-      "bytes": 326376,
-      "rows": 28,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12805",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012805.lean\",\"a246607d3f00b28ad5080293f9a8de16c9718313bb99d2064bae9b0dc71b97eb\",0,\"lean_workbook_plus_37267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012806.lean\",\"b653ea5e94362594a5ab158d569914d7099e609eac3225b664b3dd4f256f1066\",0,\"lean_workbook_37793\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012807.lean\",\"cd0bae81d56d0c00024a340850efd25fef236ae23d672597f34d6160bb1ee3cd\",0,\"max_cos_sin_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 326376,
+      "path": "data/train/p16/oproofs-s00002-r00012804-n000004-0000-a14906c400dca619.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "a14906c400dca6194d1e4e908196345a470a41afc91954d004a57e05505cd583"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012808-n000004.json b/manifests/batches/oproofs/s00002-r00012808-n000004.json
index 136907351baa44d4131a1966f28f9f3432e23ddb..0383d18aba25f1cb2c1bd5a68053ee1374e5cbd0 100644
--- a/manifests/batches/oproofs/s00002-r00012808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012808-n000004",
   "batch_fingerprint": "5183527ad68e583db464ab2639ba1612ecc74f342598b794c71821cc40ec9bd4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012808-n000004-0000-cb874b7700baf7e0.parquet",
-      "sha256": "cb874b7700baf7e0cc3c3528c4b0b5b9759680987b97ccc7688b473a24263163",
-      "bytes": 92099,
-      "rows": 9,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012808-n000004-0000-fc999bf6a689b5af.parquet",
-      "sha256": "fc999bf6a689b5af174298fd577ba13320e4bffe7ba433f953eca36847dc02e9",
-      "bytes": 49620,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12809",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012809.lean\",\"050b461b6d89935ada3f58e2016ab66a53ab998f698e1a14c72f3a92e7b61b07\",0,\"lean_workbook_plus_73179\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012810.lean\",\"bcfe109ff269e68be99df54caa1fade985e53fe5ba1a3f41e4e4e8c0f5806553\",0,\"lean_workbook_20652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012811.lean\",\"c2262fab5b47ec8ceedf8e1799f307f6a342c98a8b940914934f6bfe58cbb852\",0,\"lean_workbook_20373\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92099,
+      "path": "data/train/p08/oproofs-s00002-r00012808-n000004-0000-cb874b7700baf7e0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "cb874b7700baf7e0cc3c3528c4b0b5b9759680987b97ccc7688b473a24263163"
+    },
+    {
+      "bytes": 49620,
+      "path": "data/internal_test/p08/oproofs-s00002-r00012808-n000004-0000-fc999bf6a689b5af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "fc999bf6a689b5af174298fd577ba13320e4bffe7ba433f953eca36847dc02e9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012812-n000004.json b/manifests/batches/oproofs/s00002-r00012812-n000004.json
index 427655245b135ec2dd692d4a6ec9ddbff4aeb519..c26285fb544d8f72912e66c694dd837d020e190c 100644
--- a/manifests/batches/oproofs/s00002-r00012812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012812-n000004",
   "batch_fingerprint": "f3f3e39d03a4560ae7ebbe0bdaad9eaba980106027139fe67f89a53063c56c44",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012812-n000004-0000-1ff13a344ac0ad15.parquet",
-      "sha256": "1ff13a344ac0ad15154c7984ab7c473221fce4242a380c3901d5359bad8d1bd1",
-      "bytes": 112473,
-      "rows": 14,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12812",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12813",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012813.lean\",\"e636f4f4d4dbc0efe627646b78d90795c2e4e26315a8c2e9184156a9d0f60beb\",0,\"lean_workbook_plus_7108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012814.lean\",\"f0b307205f5e6a724cc7272462b307d7c3129a9c793614d1a590a9180feaae00\",0,\"lean_workbook_plus_56446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012815.lean\",\"d23eb96eaf98c3afd218af18f92dffefc4b73fa4d0a040d169dd973351f05e23\",0,\"line_point_relation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 112473,
+      "path": "data/train/p31/oproofs-s00002-r00012812-n000004-0000-1ff13a344ac0ad15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1ff13a344ac0ad15154c7984ab7c473221fce4242a380c3901d5359bad8d1bd1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012816-n000004.json b/manifests/batches/oproofs/s00002-r00012816-n000004.json
index 0393361ffa221ba3841eeac2b0198b4a743f55e7..d2dc07e0a9a143c49212c06bc581bc4466b2e993 100644
--- a/manifests/batches/oproofs/s00002-r00012816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012816-n000004",
   "batch_fingerprint": "d2cdedb23aa4ea3aa048ef4e6227a60edb53f633ee8410fc3b23eee4f8d16549",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12816",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12817",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12818",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12819"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012816.lean\",\"3d307d27e621589fdf10bf31f1fc6c6b26c0c65296f9546d0f51489ed1807b8c\",0,\"lean_workbook_plus_52934\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012817.lean\",\"bc15fedaee9cc3dd77d08cf06f088ed919bed4235e4dc509c52e8dfa8daaf4cf\",0,\"lean_workbook_plus_17561\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012818.lean\",\"73ab25cc4bfb594259f6cf83bbd31cf614aa6f9e065d4ad2e402b7dbe152b96d\",0,\"fraction_sqrt_equation\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012819.lean\",\"d0970329248ffea4171eb1f013e135d1981d35c7fa9522d6d3d73a57fae3b4cf\",0,\"lean_workbook_plus_57691\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012816-n000004-0000-7f6fa97e49dd06d4.parquet",
-      "sha256": "7f6fa97e49dd06d4eb69754557faed2437bb62e644599ce02eccdb6e0268880d",
       "bytes": 79493,
+      "path": "data/train/pc9/oproofs-s00002-r00012816-n000004-0000-7f6fa97e49dd06d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "7f6fa97e49dd06d4eb69754557faed2437bb62e644599ce02eccdb6e0268880d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012816-n000004-0000-c42c078679ef4f1f.parquet",
-      "sha256": "c42c078679ef4f1ff875043760ec6af8a8b10640da58049982cfc15fd8539538",
       "bytes": 69471,
+      "path": "data/dev/pc9/oproofs-s00002-r00012816-n000004-0000-c42c078679ef4f1f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "c42c078679ef4f1ff875043760ec6af8a8b10640da58049982cfc15fd8539538"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012816-n000004-0000-fca06157c8fd6d3f.parquet",
-      "sha256": "fca06157c8fd6d3f3dcb1fb0e085579a9177df3bf9e7d41cdcee5b840529721a",
       "bytes": 53901,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00012816-n000004-0000-fca06157c8fd6d3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "fca06157c8fd6d3f3dcb1fb0e085579a9177df3bf9e7d41cdcee5b840529721a"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12816",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12817",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12818",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12819"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012816.lean\",\"3d307d27e621589fdf10bf31f1fc6c6b26c0c65296f9546d0f51489ed1807b8c\",0,\"lean_workbook_plus_52934\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012817.lean\",\"bc15fedaee9cc3dd77d08cf06f088ed919bed4235e4dc509c52e8dfa8daaf4cf\",0,\"lean_workbook_plus_17561\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012818.lean\",\"73ab25cc4bfb594259f6cf83bbd31cf614aa6f9e065d4ad2e402b7dbe152b96d\",0,\"fraction_sqrt_equation\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012819.lean\",\"d0970329248ffea4171eb1f013e135d1981d35c7fa9522d6d3d73a57fae3b4cf\",0,\"lean_workbook_plus_57691\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012820-n000004.json b/manifests/batches/oproofs/s00002-r00012820-n000004.json
index ecda3744ebc6e5f4de2837e159bd20f149aa0a68..1778484a198e8bbe701f017458176d146033134a 100644
--- a/manifests/batches/oproofs/s00002-r00012820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012820-n000004",
   "batch_fingerprint": "40e6dcb5ad17094815e16ade05b76fdd80aee4219687b7f5f4294ed6b235e5af",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012820-n000004-0000-bf5f1d6fb1055519.parquet",
-      "sha256": "bf5f1d6fb1055519ccde702afa5083c82a4d59e620cb4039066e6dc9c974ef41",
-      "bytes": 165823,
-      "rows": 14,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012821.lean\",\"74f588cf8dc36d0f668b15fc3690c66b740a0301e7269963d450696b236b3a0b\",0,\"lean_workbook_plus_50221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012822.lean\",\"f09280aa0af069ff072faddd3baab731c09a1268c7c6a09ee63f155212312915\",0,\"lean_workbook_24380\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012823.lean\",\"fe245bf96d2b5485d308240f109113bac4c08736d01b8f611eaaa7693b9a7855\",0,\"lean_workbook_31925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 165823,
+      "path": "data/train/pc2/oproofs-s00002-r00012820-n000004-0000-bf5f1d6fb1055519.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "bf5f1d6fb1055519ccde702afa5083c82a4d59e620cb4039066e6dc9c974ef41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012824-n000004.json b/manifests/batches/oproofs/s00002-r00012824-n000004.json
index 577a41500ab0d8a99d82a5b1e10ee2eb24111e70..4bf7d0f7bce7724573ac9f9601478030d19fff99 100644
--- a/manifests/batches/oproofs/s00002-r00012824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012824-n000004",
   "batch_fingerprint": "5e572a2c8ce05b5ce22313e9d0a21b9dbea7a60edb84bb9ad8a6197babb95336",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012824-n000004-0000-60ba42249871dcfa.parquet",
-      "sha256": "60ba42249871dcfaa0aaf55abb653a67ee2bf20a3eb43e232408d66e4593f199",
-      "bytes": 647031,
-      "rows": 14,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012824-n000004-0000-c0c17aca9487f799.parquet",
-      "sha256": "c0c17aca9487f799484ba7cfcfefd9982d8d0222261ac1236c9a895516d0bd45",
-      "bytes": 87879,
-      "rows": 2,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12825",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012825.lean\",\"cd74eb821b1ca76ddaec3acacf4db4a74e24ade6e2792603622430abdb66dc98\",0,\"band_seats_needed\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012826.lean\",\"17f5f191453ef395b7a3f8144099039449db52637557399fb9088123f4df7bae\",0,\"min_subtraction_for_divisibility\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012827.lean\",\"fb9521e87bb08bcefaf5aeabca0f48626543e2d649fa5ddda8429b96796c6ec5\",0,\"article_price_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 647031,
+      "path": "data/train/p86/oproofs-s00002-r00012824-n000004-0000-60ba42249871dcfa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "60ba42249871dcfaa0aaf55abb653a67ee2bf20a3eb43e232408d66e4593f199"
+    },
+    {
+      "bytes": 87879,
+      "path": "data/dev/p86/oproofs-s00002-r00012824-n000004-0000-c0c17aca9487f799.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "c0c17aca9487f799484ba7cfcfefd9982d8d0222261ac1236c9a895516d0bd45"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012828-n000004.json b/manifests/batches/oproofs/s00002-r00012828-n000004.json
index 3d6d53e32251910dd68dd3c9b5049d22dd1094ec..6475e9e30f3dafcb4f783a16f2d533d284b42dbc 100644
--- a/manifests/batches/oproofs/s00002-r00012828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012828-n000004",
   "batch_fingerprint": "36e2a80fe6193cadf552bbcffd79a18af7f22c7cb4f1f56738821074b6418adf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012828-n000004-0000-7e5dac62cb08a1d0.parquet",
-      "sha256": "7e5dac62cb08a1d04a75aab116475c78ed43b01a82311c6b7cd429e69e46450f",
-      "bytes": 66833,
-      "rows": 10,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012828-n000004-0000-c544a6932763f536.parquet",
-      "sha256": "c544a6932763f536cbe5263f81453ae4618ab5ae83822178addec761481a2b5f",
-      "bytes": 86123,
-      "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012829.lean\",\"4f72982d1cb4e016feb22806c734bb189c733b86d1d26c3422a3e92296458083\",0,\"lean_workbook_plus_71212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012830.lean\",\"658b3083772cba70fbd168673fd5f9e15c184b3b402d2d46fc4c310e7481a1e1\",0,\"lean_workbook_plus_36078\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012831.lean\",\"8ef3d538c0a050e30a7d8ee6c2b43b86eb49f24ae5d322a4761382d3210a55ba\",0,\"lean_workbook_plus_71409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66833,
+      "path": "data/train/pac/oproofs-s00002-r00012828-n000004-0000-7e5dac62cb08a1d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "7e5dac62cb08a1d04a75aab116475c78ed43b01a82311c6b7cd429e69e46450f"
+    },
+    {
+      "bytes": 86123,
+      "path": "data/internal_test/pac/oproofs-s00002-r00012828-n000004-0000-c544a6932763f536.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c544a6932763f536cbe5263f81453ae4618ab5ae83822178addec761481a2b5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012832-n000004.json b/manifests/batches/oproofs/s00002-r00012832-n000004.json
index 209e21d93ffea3be6432a49b0926eee898091a31..693c12d79329bdc8665685e40caa1f504628c5b1 100644
--- a/manifests/batches/oproofs/s00002-r00012832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012832-n000004",
   "batch_fingerprint": "cf9b328dc21bd93d9fb593a6bc09289c50bb34c23643c08c808b36eee6b7ba76",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012832-n000004-0000-564b844d6186f941.parquet",
-      "sha256": "564b844d6186f941c0e89d6678153b6a0187e2090da7aaade8189dcb97b9f094",
-      "bytes": 280763,
-      "rows": 29,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012832-n000004-0000-17cc39e1e68fda94.parquet",
-      "sha256": "17cc39e1e68fda94cfe78d88e06a25f2009edba503b61f459db3d71a1161253f",
-      "bytes": 46683,
-      "rows": 4,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12833",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012833.lean\",\"7fbe41eb068291c07a230e7fb859769e50e426370441b9fbaa349e9cd61abc0a\",0,\"lean_workbook_plus_32916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012834.lean\",\"f733ade9b1bc0f0de661a442d270e054dba2108c14a3d4d819fdb591c9757589\",0,\"lean_workbook_plus_3106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012835.lean\",\"937b37438c3bcc0e372fb21d0c36e1e92ab84b9b0e1ef8fa89e08dcc490e81d8\",0,\"lean_workbook_plus_27865\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 280763,
+      "path": "data/train/p9d/oproofs-s00002-r00012832-n000004-0000-564b844d6186f941.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "564b844d6186f941c0e89d6678153b6a0187e2090da7aaade8189dcb97b9f094"
+    },
+    {
+      "bytes": 46683,
+      "path": "data/dev/p9d/oproofs-s00002-r00012832-n000004-0000-17cc39e1e68fda94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17cc39e1e68fda94cfe78d88e06a25f2009edba503b61f459db3d71a1161253f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012836-n000004.json b/manifests/batches/oproofs/s00002-r00012836-n000004.json
index 612854297972b9018c40efd9a2949e6d18aeed11..9a21d10578f0f16380adca8ca543044e9a32c88a 100644
--- a/manifests/batches/oproofs/s00002-r00012836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012836-n000004",
   "batch_fingerprint": "a3aea21c25f50e8ae4608c88f249cd85eeff5ba7f4d2005530733eb27e090aee",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012836-n000004-0000-598dc1cca8c4d1eb.parquet",
-      "sha256": "598dc1cca8c4d1eb37b8161a557722103cc140fcf0b5067d88886c2400ce3047",
-      "bytes": 141364,
-      "rows": 10,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012836-n000004-0000-98152e7cc263ff83.parquet",
-      "sha256": "98152e7cc263ff83443735c5a337df9537afe8149c9778a3050abedfc4e09989",
-      "bytes": 171692,
-      "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012837.lean\",\"a13f37c12dc77e65569c53fe466e3801737ada2184858c53f168e1ef75b5b91e\",0,\"lean_workbook_plus_43446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012838.lean\",\"e7a2c894a5ce87f5ed3b1c91bb4456cb0f9a04d44c52bfeaff49c109e2294043\",0,\"lean_workbook_plus_2840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012839.lean\",\"9531135189b51f9e0c4f94beb1e70592246b8707263ea3bae5c25a58193f7497\",0,\"lean_workbook_plus_47179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141364,
+      "path": "data/train/pd0/oproofs-s00002-r00012836-n000004-0000-598dc1cca8c4d1eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "598dc1cca8c4d1eb37b8161a557722103cc140fcf0b5067d88886c2400ce3047"
+    },
+    {
+      "bytes": 171692,
+      "path": "data/internal_test/pd0/oproofs-s00002-r00012836-n000004-0000-98152e7cc263ff83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "98152e7cc263ff83443735c5a337df9537afe8149c9778a3050abedfc4e09989"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012840-n000004.json b/manifests/batches/oproofs/s00002-r00012840-n000004.json
index 1c66754a27c08a31aca693e5b6cfbee6991fa0ad..408da24d62792dab4e43b6902b0b9feccf469498 100644
--- a/manifests/batches/oproofs/s00002-r00012840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012840-n000004",
   "batch_fingerprint": "1ab645edafc54597234876b7321ad3bb3178f41d761809ed09a1302f43aa5126",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/oproofs-s00002-r00012840-n000004-0000-c9688615d238218b.parquet",
-      "sha256": "c9688615d238218b2752cdb87a7c6c84e0bcdc8769d7a32e2ac8a3d6fbddeaa6",
-      "bytes": 118335,
-      "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012840-n000004-0000-1c802ca776099fe2.parquet",
-      "sha256": "1c802ca776099fe27a0e823e0c1e69fb7563343a08d0c179a9c2502eb9e495bf",
-      "bytes": 399701,
-      "rows": 25,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12841",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012841.lean\",\"94acc458d50d938fbbfcbae962d3bd056448432b7fe4b1e5cdcb21b1acd68308\",0,\"lean_workbook_15585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012842.lean\",\"f4de924869258135cec6be884d2f8cfd5300e07592ffe500ac5298137b3913f1\",0,\"lean_workbook_plus_7415\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012843.lean\",\"9dfd87bfd9284d5415991e73eab821f0e82f1cdc732796055d9baef7f5a42d92\",0,\"lean_workbook_55309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118335,
+      "path": "data/dev/p1d/oproofs-s00002-r00012840-n000004-0000-c9688615d238218b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c9688615d238218b2752cdb87a7c6c84e0bcdc8769d7a32e2ac8a3d6fbddeaa6"
+    },
+    {
+      "bytes": 399701,
+      "path": "data/internal_test/p1d/oproofs-s00002-r00012840-n000004-0000-1c802ca776099fe2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "1c802ca776099fe27a0e823e0c1e69fb7563343a08d0c179a9c2502eb9e495bf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012844-n000004.json b/manifests/batches/oproofs/s00002-r00012844-n000004.json
index 8493655326e5a336f7b79e95adbab682f4f06dbb..b89f3c91ac675b926d5f31b1eac11447a05239b5 100644
--- a/manifests/batches/oproofs/s00002-r00012844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012844-n000004",
   "batch_fingerprint": "de3ddea08965897020e13f71a7c9e73153be385244ac917b50e037b43e8e03f7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012844-n000004-0000-95c7e73afa5ec06c.parquet",
-      "sha256": "95c7e73afa5ec06c1bbda85ef63a8a92e410852de3e0cb57bfd74f67a852e8a7",
-      "bytes": 296192,
-      "rows": 14,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012844-n000004-0000-c3075519c531edd4.parquet",
-      "sha256": "c3075519c531edd418d950ff61f7de3a705e8faeeaf7b6247b7b131b018b4572",
-      "bytes": 51661,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012845.lean\",\"6abb478044932ff8699d85ade033eed237d227d4e27ab1a4ee9ca6ec5b82c24b\",0,\"lean_workbook_plus_26364\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012846.lean\",\"7c94bd6884e8c26eb2bd41f589507eaa06ae89dc48c51c6d3996ac1ce09f0f82\",0,\"lean_workbook_plus_26908\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012847.lean\",\"64b2984ca42e291c7698e8ab284090cdd2f898899ca14706e9d9e5c6c6157249\",0,\"lean_workbook_plus_49207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 296192,
+      "path": "data/train/p0f/oproofs-s00002-r00012844-n000004-0000-95c7e73afa5ec06c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "95c7e73afa5ec06c1bbda85ef63a8a92e410852de3e0cb57bfd74f67a852e8a7"
+    },
+    {
+      "bytes": 51661,
+      "path": "data/internal_test/p0f/oproofs-s00002-r00012844-n000004-0000-c3075519c531edd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c3075519c531edd418d950ff61f7de3a705e8faeeaf7b6247b7b131b018b4572"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012848-n000004.json b/manifests/batches/oproofs/s00002-r00012848-n000004.json
index 3dd41f397054e594d9696587cac3ec8012d0367d..8e84859525073623084113cd1f16105de72ca0de 100644
--- a/manifests/batches/oproofs/s00002-r00012848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012848-n000004",
   "batch_fingerprint": "41bf7bb7dfd07319cfe811cc4ed5138d34415deb9fb2dc83a38d82821a6c1501",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012848-n000004-0000-cc69d9f6095f8997.parquet",
-      "sha256": "cc69d9f6095f8997ab57ef219311224e8ecc0f521a7b76cc291cb0fa7259ba5c",
-      "bytes": 1041717,
-      "rows": 24,
-      "revision": "7faff98c8e60285db0b6f842ebca139e14f9c62f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012848-n000004-0001-2f038bf7349eb7a8.parquet",
-      "sha256": "2f038bf7349eb7a8ca6f2a8b2b995f340811884cf541bd7acb42a19a55380c0a",
-      "bytes": 350277,
-      "rows": 13,
-      "revision": "7faff98c8e60285db0b6f842ebca139e14f9c62f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012849.lean\",\"4ffacfbe14fc236ab0ccbfd60977d009e46f095bd75f1dcd9bd1829390e892e3\",0,\"lean_workbook_plus_16456\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012850.lean\",\"858497f0a7743349346986fa02ce45bb3ffaa2c71fb46e88af3ea76f658233ac\",0,\"lean_workbook_plus_29844\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012851.lean\",\"4f997c11e187958d1414e4cb05d73ee65c38d21ac3e7a5cc42e57a7453b1281d\",0,\"lean_workbook_plus_56963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1041717,
+      "path": "data/train/p2a/oproofs-s00002-r00012848-n000004-0000-cc69d9f6095f8997.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cc69d9f6095f8997ab57ef219311224e8ecc0f521a7b76cc291cb0fa7259ba5c"
+    },
+    {
+      "bytes": 350277,
+      "path": "data/train/p2a/oproofs-s00002-r00012848-n000004-0001-2f038bf7349eb7a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2f038bf7349eb7a8ca6f2a8b2b995f340811884cf541bd7acb42a19a55380c0a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012852-n000004.json b/manifests/batches/oproofs/s00002-r00012852-n000004.json
index 4b170725e73fd5188d3a191e7faca4640a71d8d0..b128e6e6e1c81c77fdaa53db16b6ad6832cb9852 100644
--- a/manifests/batches/oproofs/s00002-r00012852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012852-n000004",
   "batch_fingerprint": "e9033ae20572ef7988139225fbf023a7f3efabaea812550c5f5821b284786fe8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012852-n000004-0000-418f7ea971b92454.parquet",
-      "sha256": "418f7ea971b92454aaa48cf25892ff6d01d7c5fa8a28a5ae75abb3227229c56f",
-      "bytes": 541871,
-      "rows": 20,
-      "revision": "7faff98c8e60285db0b6f842ebca139e14f9c62f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012852-n000004-0000-9021dfb81709d37c.parquet",
-      "sha256": "9021dfb81709d37c18b1774afbd4bb8475d089b381db3530adc4912b25c8bb30",
-      "bytes": 792100,
-      "rows": 18,
-      "revision": "7faff98c8e60285db0b6f842ebca139e14f9c62f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012853.lean\",\"9db46007181e22446856032e71724a343251f36f7b4f90170bf86bee870e3d9e\",0,\"lean_workbook_plus_45330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012854.lean\",\"d86a6987d719f4f1cb031980a9dd83fe3ac07c6d05a37bcdf6dfaaa8be63396a\",0,\"lean_workbook_18835\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012855.lean\",\"416c61bbedd8a4e879175798484b607687aaf94617d0e7c4c84d3bf38e7f3a6e\",0,\"lean_workbook_plus_62148\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 541871,
+      "path": "data/train/p02/oproofs-s00002-r00012852-n000004-0000-418f7ea971b92454.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "418f7ea971b92454aaa48cf25892ff6d01d7c5fa8a28a5ae75abb3227229c56f"
+    },
+    {
+      "bytes": 792100,
+      "path": "data/internal_test/p02/oproofs-s00002-r00012852-n000004-0000-9021dfb81709d37c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "9021dfb81709d37c18b1774afbd4bb8475d089b381db3530adc4912b25c8bb30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012856-n000004.json b/manifests/batches/oproofs/s00002-r00012856-n000004.json
index 75427dba5e0f6353cbadf9f705e28d15638583dd..48493fa71e70c4aec571c0e9ee40a4d01a4d317d 100644
--- a/manifests/batches/oproofs/s00002-r00012856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012856-n000004",
   "batch_fingerprint": "853f1dc4598117111be4b94828525cea55097e66fe1e9789429c869dfb79697c",
   "evidence": {
@@ -60,28 +59,29 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12856",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12858"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012856.lean\",\"66179f4a6f3b90538bc958fa3eee3b103b517aaa549beac80bac6feae2df07f7\",0,\"triangle_special_lines_perpendicular\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012858.lean\",\"c4c5327d3c3c08e6a9f67bfc0983c2031ee72c8d232e8c0feebdd9f1111cf6f5\",0,\"ellipse_triangle_area\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012856-n000004-0000-b9205559b707b7b6.parquet",
-      "sha256": "b9205559b707b7b69c563fc7965e66a56b4700359c283cd9576ae1ccab2328eb",
       "bytes": 1054440,
+      "path": "data/train/paf/oproofs-s00002-r00012856-n000004-0000-b9205559b707b7b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "85ac0f7489bc72cc4739be3353b21b8e45bd1995"
+      "sha256": "b9205559b707b7b69c563fc7965e66a56b4700359c283cd9576ae1ccab2328eb"
     },
     {
-      "path": "data/train/oproofs-s00002-r00012856-n000004-0001-521c514de3c8acfc.parquet",
-      "sha256": "521c514de3c8acfc95093157ae36ca0811e4273117c17a2c1e57e09ae8e36a7b",
       "bytes": 571669,
+      "path": "data/train/paf/oproofs-s00002-r00012856-n000004-0001-521c514de3c8acfc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "85ac0f7489bc72cc4739be3353b21b8e45bd1995"
+      "sha256": "521c514de3c8acfc95093157ae36ca0811e4273117c17a2c1e57e09ae8e36a7b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12856",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12858"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012856.lean\",\"66179f4a6f3b90538bc958fa3eee3b103b517aaa549beac80bac6feae2df07f7\",0,\"triangle_special_lines_perpendicular\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012858.lean\",\"c4c5327d3c3c08e6a9f67bfc0983c2031ee72c8d232e8c0feebdd9f1111cf6f5\",0,\"ellipse_triangle_area\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012860-n000004.json b/manifests/batches/oproofs/s00002-r00012860-n000004.json
index 868e789646630e9aded401ec750dec31a96cfb9c..993071d865564b2c3214d59eb2d4605956b658bd 100644
--- a/manifests/batches/oproofs/s00002-r00012860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012860-n000004",
   "batch_fingerprint": "62eec56224ecae070671850c676d741ac916c826d499da8a5b5eedc4d16fd562",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012860-n000004-0000-acd41eec76d7a775.parquet",
-      "sha256": "acd41eec76d7a7752b95d1c702675d4ef496030d887029d68ff70e6002e033ca",
-      "bytes": 91628,
-      "rows": 11,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12861",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012861.lean\",\"b3969f664300b619f21e4cb5b7bca10f9fea05acb25b0f28726ba908fd4c574c\",0,\"lean_workbook_plus_33452\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012862.lean\",\"9f9b7fc297d8b23afcad09a06a7497750b63e2de262a0ab77b851fe69fffbe57\",0,\"complex_equation_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012863.lean\",\"8b5ac3333562a6bd0d84796266815b632940dba6ac5c1f65bb4d1fdff727c00a\",0,\"lean_workbook_plus_44312\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91628,
+      "path": "data/train/p25/oproofs-s00002-r00012860-n000004-0000-acd41eec76d7a775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "acd41eec76d7a7752b95d1c702675d4ef496030d887029d68ff70e6002e033ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012864-n000004.json b/manifests/batches/oproofs/s00002-r00012864-n000004.json
index 82e2eb73ee6370186c79a24e9041e85bf67a019c..38176b2ca9636cba1886bd0a627f2ea7892024bd 100644
--- a/manifests/batches/oproofs/s00002-r00012864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012864-n000004",
   "batch_fingerprint": "11b3cb7b1fc8edae82b276d515a4398c0538923c7ef7e986d1a0c3d25389fde2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012864-n000004-0000-3da288739dfaada2.parquet",
-      "sha256": "3da288739dfaada23ff5e00232dfdded6b40c30ab5dfcb4515f240a143098132",
-      "bytes": 114012,
-      "rows": 8,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012864-n000004-0000-60c3650e43680ce6.parquet",
-      "sha256": "60c3650e43680ce65f891c5fe5792652c1c4b759106c6cb1f89d4f325a29fb65",
-      "bytes": 46911,
-      "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012865.lean\",\"8f2f7fe6191593c62ca1f1f0391ed06232c89e8d505dc203ebc3220fcac2487f\",0,\"lean_workbook_plus_57083\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012866.lean\",\"000c7d4e629592f4f298961cb196e2f93bcd648b2420b63ce06fba48f767ff0c\",0,\"lean_workbook_28804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012867.lean\",\"da077d1fe187828bea08879e6d6a3f4079b80a48d4706de2d8812bd3664d5e74\",0,\"lean_workbook_plus_1161\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114012,
+      "path": "data/train/pf8/oproofs-s00002-r00012864-n000004-0000-3da288739dfaada2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "3da288739dfaada23ff5e00232dfdded6b40c30ab5dfcb4515f240a143098132"
+    },
+    {
+      "bytes": 46911,
+      "path": "data/internal_test/pf8/oproofs-s00002-r00012864-n000004-0000-60c3650e43680ce6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "60c3650e43680ce65f891c5fe5792652c1c4b759106c6cb1f89d4f325a29fb65"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012868-n000004.json b/manifests/batches/oproofs/s00002-r00012868-n000004.json
index ee3f3cb7b719f270ed1373cde4f4250ab8d14d66..f742192c4771c94a935675fe20018a516ffa1074 100644
--- a/manifests/batches/oproofs/s00002-r00012868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012868-n000004",
   "batch_fingerprint": "34554d70a4623211367c34f41807dc21415c9f5ebf934612c0db1c951b8117ea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012868-n000004-0000-c590750ad895a650.parquet",
-      "sha256": "c590750ad895a650055a79f60d8454553d29d510cd6b6cd901dfa8b3ff8704f8",
-      "bytes": 66377,
-      "rows": 9,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012868-n000004-0000-851ab83f099e8a8f.parquet",
-      "sha256": "851ab83f099e8a8ffc182d7eadbece7503b6faa6f31ba198bd7b70b9d585641c",
-      "bytes": 52401,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12869",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012869.lean\",\"e3611829154c594c4b143772c8d4517b05e32e847f0de087a2dc1f36b96fcea0\",0,\"zits_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012870.lean\",\"5011b103d97222b1fc2be9935168e158aebf27b1d5b08f07edcc15d83e1f3e4c\",0,\"solid_volume\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012871.lean\",\"863d5d1f086455fee86f0a592c31d348b741867444e5261210509c10760eb52a\",0,\"lean_workbook_plus_8928\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 66377,
+      "path": "data/train/p5b/oproofs-s00002-r00012868-n000004-0000-c590750ad895a650.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "c590750ad895a650055a79f60d8454553d29d510cd6b6cd901dfa8b3ff8704f8"
+    },
+    {
+      "bytes": 52401,
+      "path": "data/internal_test/p5b/oproofs-s00002-r00012868-n000004-0000-851ab83f099e8a8f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "851ab83f099e8a8ffc182d7eadbece7503b6faa6f31ba198bd7b70b9d585641c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012872-n000004.json b/manifests/batches/oproofs/s00002-r00012872-n000004.json
index d92e8be71701286594f991edeef9fd766f474328..2adab8fd1e6a7dced8b8150d148b83fd1df8f26d 100644
--- a/manifests/batches/oproofs/s00002-r00012872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012872-n000004",
   "batch_fingerprint": "e7c881faf7c1b4a89172ab6a196f23ee430cf05a79469fbe818cd068bcc6e523",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/dev/oproofs-s00002-r00012872-n000004-0000-e0e627c5b2d1d30e.parquet",
-      "sha256": "e0e627c5b2d1d30e560b13bf4063182c67e9f7b77a230a58cb7c30110a35794e",
-      "bytes": 177396,
-      "rows": 8,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012872-n000004-0000-c9d704b03ae1b2e6.parquet",
-      "sha256": "c9d704b03ae1b2e6b02fd92d6434ae7712b656db1f7c75b1c83a9cb9d1cdb8a5",
-      "bytes": 80016,
-      "rows": 10,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12873",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012873.lean\",\"31efe718f81384e9e0862ffa13a9dcba4133dba17a6eb89abce54b3bafc15f01\",0,\"lean_workbook_plus_18222\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012874.lean\",\"cea71726e3c14ce0467c532145764271de8aa0e2c10f348fef97f70dd4491873\",0,\"lean_workbook_plus_30946\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012875.lean\",\"f1d10df1963157ce22de343a6d56adaab8a591f72eb3ae681d7a5076b957672e\",0,\"lean_workbook_plus_56938\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 177396,
+      "path": "data/dev/p01/oproofs-s00002-r00012872-n000004-0000-e0e627c5b2d1d30e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e0e627c5b2d1d30e560b13bf4063182c67e9f7b77a230a58cb7c30110a35794e"
+    },
+    {
+      "bytes": 80016,
+      "path": "data/internal_test/p01/oproofs-s00002-r00012872-n000004-0000-c9d704b03ae1b2e6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "c9d704b03ae1b2e6b02fd92d6434ae7712b656db1f7c75b1c83a9cb9d1cdb8a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012876-n000004.json b/manifests/batches/oproofs/s00002-r00012876-n000004.json
index c548a4cfd29756586c5960e7adeb2cb40795151a..4878e68513758235cd37ff10f7f3f8ca328fb71c 100644
--- a/manifests/batches/oproofs/s00002-r00012876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012876-n000004",
   "batch_fingerprint": "0842400c95c37dcd7f3efe4cf0377c6ce83624b42e32c3cb9a4b9c7927d91a38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012876-n000004-0000-33d5f8b48a74f9cc.parquet",
-      "sha256": "33d5f8b48a74f9cc850250b4bacf10275c8c7cb75bc29fd3a1790cfc0563cb01",
-      "bytes": 79683,
-      "rows": 10,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012876-n000004-0000-6ddf57612f66301c.parquet",
-      "sha256": "6ddf57612f66301c1961af1c3cfbb852491c094f608525bdb2703523294e4143",
-      "bytes": 139471,
-      "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12877",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012877.lean\",\"d3e3aaf7ef34e0ffa3dc4f920724bae05b3247934535a0e9e7258fddf8941d7d\",0,\"lean_workbook_plus_66012\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012878.lean\",\"cf10429d3408860dc18e2a7a797c7384fcaa578262719d79d7964f7f771a2c0d\",0,\"lean_workbook_plus_48166\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012879.lean\",\"47a4f1a2fe3f5e9bcd3af7f265775707aaffbfbefdf45c55dab0fa2bf0bf7d6c\",0,\"lean_workbook_plus_42713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79683,
+      "path": "data/train/pa6/oproofs-s00002-r00012876-n000004-0000-33d5f8b48a74f9cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "33d5f8b48a74f9cc850250b4bacf10275c8c7cb75bc29fd3a1790cfc0563cb01"
+    },
+    {
+      "bytes": 139471,
+      "path": "data/dev/pa6/oproofs-s00002-r00012876-n000004-0000-6ddf57612f66301c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "6ddf57612f66301c1961af1c3cfbb852491c094f608525bdb2703523294e4143"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012880-n000004.json b/manifests/batches/oproofs/s00002-r00012880-n000004.json
index 4efbedd88f0526762af5377d0100bf8cb421afb0..07e8050f754cce5bed362fc4b8c4ab8f69266a81 100644
--- a/manifests/batches/oproofs/s00002-r00012880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012880-n000004",
   "batch_fingerprint": "311d012876204152ba735501b6e476f4eb5e2939be60fd2b2688619f6bd0354f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012880-n000004-0000-c4bd8b6f30a85025.parquet",
-      "sha256": "c4bd8b6f30a85025917da92d6e5455b9f231ef3c07386f67f044a69629519c25",
-      "bytes": 92281,
-      "rows": 15,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012880-n000004-0000-8079c736aa29a101.parquet",
-      "sha256": "8079c736aa29a101109bea95bd4a7e2a6248ad8fbac080a86f8493ca06d5f599",
-      "bytes": 83768,
-      "rows": 8,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012881.lean\",\"f968afa593e610c955e87790b038444ede842e2cdda281bf20c08e4de94076c9\",0,\"lean_workbook_plus_13905\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012882.lean\",\"bd8c369fcdbf387cbfc31e98d7fa6253fd3d998125846aafa97189a786b33cd8\",0,\"lean_workbook_32775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012883.lean\",\"bcef4b797fd45cdcc86c5cd11c940583bb4d0d8b198ae524ad6af67e895fe30b\",0,\"lean_workbook_45311\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 92281,
+      "path": "data/train/pcb/oproofs-s00002-r00012880-n000004-0000-c4bd8b6f30a85025.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "c4bd8b6f30a85025917da92d6e5455b9f231ef3c07386f67f044a69629519c25"
+    },
+    {
+      "bytes": 83768,
+      "path": "data/internal_test/pcb/oproofs-s00002-r00012880-n000004-0000-8079c736aa29a101.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8079c736aa29a101109bea95bd4a7e2a6248ad8fbac080a86f8493ca06d5f599"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012884-n000004.json b/manifests/batches/oproofs/s00002-r00012884-n000004.json
index 361a36d64091eb55451580a4e9337fd9c627fb67..cbe4e11d15a4c8fad20368f5d3426269d169dc42 100644
--- a/manifests/batches/oproofs/s00002-r00012884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012884-n000004",
   "batch_fingerprint": "9284502cb9741bd49c67b46a7c792d2d1a5f6d556c5c1d8d33c9f633467c0df0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012884-n000004-0000-3c133b2af3397baf.parquet",
-      "sha256": "3c133b2af3397baff8c2a4bb7e0856d5dd54d6408acbce14d380114fd9432fba",
-      "bytes": 219293,
-      "rows": 17,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012884-n000004-0000-a67d62a7143e4be2.parquet",
-      "sha256": "a67d62a7143e4be2280c833f40a153442e1b26bf942e734c6006b3a53ae2e278",
-      "bytes": 268845,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12885",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012885.lean\",\"967fa5ecd02f29204e4c74585e5e37ad1671cd488dcdaea391d43a38e6c314fd\",0,\"lean_workbook_54369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012886.lean\",\"0b51a1c35225f70f3647ad20f290d36173e026c75cf5ac7f1a1eabf034c7c467\",0,\"lean_workbook_27089\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012887.lean\",\"e51846ff6c7cda5570abee38749e05d5e7e25982ba820b5380d1c7c06aac2736\",0,\"lean_workbook_plus_63326\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219293,
+      "path": "data/train/p20/oproofs-s00002-r00012884-n000004-0000-3c133b2af3397baf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "3c133b2af3397baff8c2a4bb7e0856d5dd54d6408acbce14d380114fd9432fba"
+    },
+    {
+      "bytes": 268845,
+      "path": "data/dev/p20/oproofs-s00002-r00012884-n000004-0000-a67d62a7143e4be2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a67d62a7143e4be2280c833f40a153442e1b26bf942e734c6006b3a53ae2e278"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012888-n000004.json b/manifests/batches/oproofs/s00002-r00012888-n000004.json
index dbcab2e0f9833bc6dfb4ff9bee83b2040c869260..ff9f297c7fb7a88b11134b6856f5561e9e625bde 100644
--- a/manifests/batches/oproofs/s00002-r00012888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012888-n000004",
   "batch_fingerprint": "37da3d98c2babee07bf926f4eb2d4cc9b97d1e9c5c7cb2c6e43e07eb98cbf947",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012888-n000004-0000-7eb54ce4700db8c3.parquet",
-      "sha256": "7eb54ce4700db8c38f8252c256e4b0109b5929b47246f0e294399431af1ba91c",
-      "bytes": 116910,
-      "rows": 14,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012888-n000004-0000-eb475f8de4f32b7b.parquet",
-      "sha256": "eb475f8de4f32b7b58d2ba0e0dae63dc8cc113fc71327cc210ab7dc097a499f5",
-      "bytes": 44112,
-      "rows": 2,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12889",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012889.lean\",\"00f353473963591dec339978042a8f4101203daed47a811aad55011240d6a70a\",0,\"lean_workbook_plus_34593\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012890.lean\",\"f17c328767272cc02a47423d877bacfdc7ebeb0d65eaee802ffc57f70c7b2edb\",0,\"lean_workbook_plus_44484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012891.lean\",\"c66c872b49cd3dbd77615fa59b150ca74ae0c432ca902fb18855cc7239d9901a\",0,\"lean_workbook_plus_24377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 116910,
+      "path": "data/train/p1c/oproofs-s00002-r00012888-n000004-0000-7eb54ce4700db8c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7eb54ce4700db8c38f8252c256e4b0109b5929b47246f0e294399431af1ba91c"
+    },
+    {
+      "bytes": 44112,
+      "path": "data/internal_test/p1c/oproofs-s00002-r00012888-n000004-0000-eb475f8de4f32b7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eb475f8de4f32b7b58d2ba0e0dae63dc8cc113fc71327cc210ab7dc097a499f5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012892-n000004.json b/manifests/batches/oproofs/s00002-r00012892-n000004.json
index ec9178e126bccf9ada5e70505c37dfe2a70d8a90..9d19c4852764d045bc0954c399b2c75718334e17 100644
--- a/manifests/batches/oproofs/s00002-r00012892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012892-n000004",
   "batch_fingerprint": "643daf1c098d0f0c59eae928dd7e3a4151d1ee0a14f5b7e87145543fa12145ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012892-n000004-0000-cf06bd1ba825b224.parquet",
-      "sha256": "cf06bd1ba825b22429705f1697d7d1624642c784082671452c7fb305a558b476",
-      "bytes": 456695,
-      "rows": 29,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12893",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012893.lean\",\"2d7496ba0eee94b0866c7b9f9366da028f44da9704be8a14f63f63b2f712eb0d\",0,\"lean_workbook_43318\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012894.lean\",\"ab44dd58f7770a444ae926f7eaaf8fe4b0bfb579b0bec780526c664494c858fd\",0,\"lean_workbook_plus_40748\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012895.lean\",\"83ed4fe16bcbd4bdd872f7da9110d21072d31e33f24795d571b75366ceeddf26\",0,\"lean_workbook_9929\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 456695,
+      "path": "data/train/p38/oproofs-s00002-r00012892-n000004-0000-cf06bd1ba825b224.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "cf06bd1ba825b22429705f1697d7d1624642c784082671452c7fb305a558b476"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012896-n000004.json b/manifests/batches/oproofs/s00002-r00012896-n000004.json
index 0ea2392465bb0c72cb01226a8e2cfdf96be86cf9..8462930f4f2e33372ee6a3623929d45c813aed5b 100644
--- a/manifests/batches/oproofs/s00002-r00012896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012896-n000004",
   "batch_fingerprint": "1180b72aadd0679ff3bfa7315c56a8971da4aa42d1af04d27c4e7e459d9f7a37",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012896-n000004-0000-85028bb1b53d5e4c.parquet",
-      "sha256": "85028bb1b53d5e4c5a36b29d2a3567449a162ff73e559233d6375c3ed9a0afef",
-      "bytes": 273745,
-      "rows": 26,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012897.lean\",\"2b84952506cabf66764082dafd58d8d050ee890e706f06511c87036599c42baf\",0,\"lean_workbook_plus_76942\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012898.lean\",\"f81565ad213d8396c7965aee2c2d1779b2f351d16bf3dac571cb8ad38d6a15b5\",0,\"lean_workbook_plus_21383\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012899.lean\",\"aeacb00b36ea633d15dcc44d1842424e029e175a84c1550772b823068a2799eb\",0,\"lean_workbook_plus_81433\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273745,
+      "path": "data/train/p1a/oproofs-s00002-r00012896-n000004-0000-85028bb1b53d5e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "85028bb1b53d5e4c5a36b29d2a3567449a162ff73e559233d6375c3ed9a0afef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012900-n000004.json b/manifests/batches/oproofs/s00002-r00012900-n000004.json
index 715b7adac205783cdcfc7d465719cd45e0758968..35879e126f808e6e95091fe405d8dc59b8e89110 100644
--- a/manifests/batches/oproofs/s00002-r00012900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012900-n000004",
   "batch_fingerprint": "60cd7f3e9c3ba33e345205fe1d783a02a9e3d0059a2a36e66c05b896d1e200d9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012900-n000004-0000-cc9885a82308eb65.parquet",
-      "sha256": "cc9885a82308eb6554bf6883b836cf575901b1c5478f9d29b2f9f8f5f06cdd84",
-      "bytes": 226964,
-      "rows": 18,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012901.lean\",\"d6c61a65c315856f4f2936387434559c9a9c0e24d8d62f10474183ebe709a308\",0,\"lean_workbook_35587\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012902.lean\",\"e7b2bc8e18a54b55a1a4658505add87912814c082f1d62f6e4d5dce845959497\",0,\"lean_workbook_23598\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012903.lean\",\"f62dbba4d4167a845d959770b239fc330eccbdc5d3621ac78e0f373fa0088b13\",0,\"lean_workbook_43713\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226964,
+      "path": "data/train/pac/oproofs-s00002-r00012900-n000004-0000-cc9885a82308eb65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "cc9885a82308eb6554bf6883b836cf575901b1c5478f9d29b2f9f8f5f06cdd84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012904-n000004.json b/manifests/batches/oproofs/s00002-r00012904-n000004.json
index 09ea14b90504a84f31322d37b77e8ae45f3d877e..a75493488af3d59454d78080f14008d7fa23a7e1 100644
--- a/manifests/batches/oproofs/s00002-r00012904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012904-n000004",
   "batch_fingerprint": "e5a49121db2889f805883b9743c4da3c1f4318676bf59af8bc8d3ddbcb706bc4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012904-n000004-0000-f763e71364e3d69e.parquet",
-      "sha256": "f763e71364e3d69ee0428ff9493b076f53224dd535329ac07012855486234077",
-      "bytes": 248613,
-      "rows": 9,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012904-n000004-0000-4392eb596902c92e.parquet",
-      "sha256": "4392eb596902c92e21f26e4e63414cd3c0fa8644572f523538fc0e452dd3e6f7",
-      "bytes": 48714,
-      "rows": 2,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012905.lean\",\"58352fc1a1294eb4057904ed449552046c8c1dd4f2b1562d4572f7b7158cbf3a\",0,\"lean_workbook_plus_70647\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012906.lean\",\"a1a652a70f57fd332842079c2a3f674182ce788c65b238b80c0c6113bd13ca54\",0,\"lean_workbook_47497\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012907.lean\",\"d39b074c1b747d9464e57b3877bb414bc20fa0eb202acd33ecffbcf8dcf3cad8\",0,\"lean_workbook_plus_31607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248613,
+      "path": "data/train/pef/oproofs-s00002-r00012904-n000004-0000-f763e71364e3d69e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "f763e71364e3d69ee0428ff9493b076f53224dd535329ac07012855486234077"
+    },
+    {
+      "bytes": 48714,
+      "path": "data/internal_test/pef/oproofs-s00002-r00012904-n000004-0000-4392eb596902c92e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "4392eb596902c92e21f26e4e63414cd3c0fa8644572f523538fc0e452dd3e6f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012908-n000004.json b/manifests/batches/oproofs/s00002-r00012908-n000004.json
index a0fd8f2b74531b1df9aa7e8bb1508e07dbfceb84..cea2ef71087da1f80bb56e1cbc89dda408ba84e0 100644
--- a/manifests/batches/oproofs/s00002-r00012908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012908-n000004",
   "batch_fingerprint": "ccb2d4723981cfe2e876676172585262415b2c169596095881ebd58f9bb3fed5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012908-n000004-0000-59736b5cac6e73dc.parquet",
-      "sha256": "59736b5cac6e73dc9022334ff97619d557523da2394b4c4472006e01bf71fb9c",
-      "bytes": 208349,
-      "rows": 23,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12908",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12909",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012909.lean\",\"6329d47ef5ce0bdfdf717a8b2ea79de0599c53218a98c210a3282877d05231ba\",0,\"lean_workbook_37793\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012910.lean\",\"f48f2d8113e044367220784514d498b08580203a51a9f25470d6e39e573ff0bc\",0,\"lean_workbook_plus_37267\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012911.lean\",\"0a69034f98dad8e535e12a15aa13eefe09bb5f4919b82e5e9f697d10e7bfdc61\",0,\"lean_workbook_plus_73179\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208349,
+      "path": "data/train/p0f/oproofs-s00002-r00012908-n000004-0000-59736b5cac6e73dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "59736b5cac6e73dc9022334ff97619d557523da2394b4c4472006e01bf71fb9c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012912-n000004.json b/manifests/batches/oproofs/s00002-r00012912-n000004.json
index 3d1ec2e5554a4e3e2d64c7c99a2d7aa75c8e1f3c..f088eae759e1f3cb7515be5bad9d8a7c1155afc6 100644
--- a/manifests/batches/oproofs/s00002-r00012912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012912-n000004",
   "batch_fingerprint": "436a89b58bba1ab85da9cd1b2e257256b08ead4082e5ee295a53a60b919693b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012912-n000004-0000-588263223b90fa0e.parquet",
-      "sha256": "588263223b90fa0e86dbffd25584c9ef02021e50430b8de4389eeea6e589b15b",
-      "bytes": 76280,
-      "rows": 10,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012912-n000004-0000-a0b6548cb026e989.parquet",
-      "sha256": "a0b6548cb026e98955e325346c1a0788fc8a6e49e724fe4990c99f6f302bbfd4",
-      "bytes": 47332,
-      "rows": 3,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12913",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012913.lean\",\"17a57656f041d1d709f64da7e7defa1c9259f989dc02c7bd551f75ab4aa6fa6d\",0,\"lean_workbook_32123\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012914.lean\",\"a23af0b2c50de67fb2038eee5cf3f82288f2e5a67f5a65d35f6985e0a5f3065a\",0,\"lean_workbook_plus_56446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012915.lean\",\"16468715e1aae9f626b669c7f86c2e4e3619694322c4246cb208da93730516f3\",0,\"line_point_relation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76280,
+      "path": "data/train/pc9/oproofs-s00002-r00012912-n000004-0000-588263223b90fa0e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "588263223b90fa0e86dbffd25584c9ef02021e50430b8de4389eeea6e589b15b"
+    },
+    {
+      "bytes": 47332,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00012912-n000004-0000-a0b6548cb026e989.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a0b6548cb026e98955e325346c1a0788fc8a6e49e724fe4990c99f6f302bbfd4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012916-n000004.json b/manifests/batches/oproofs/s00002-r00012916-n000004.json
index 514ea5156edca9e2c88c55cba952f4cc760f7660..aa35732d594e625820066c6e840c05c6fddd422d 100644
--- a/manifests/batches/oproofs/s00002-r00012916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012916-n000004",
   "batch_fingerprint": "ee37cba7694958bb326cc16ded6cb9319adf00ba6d370a27a302ddf4539df8df",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012916-n000004-0000-a16f448a91f61af5.parquet",
-      "sha256": "a16f448a91f61af57ff01850a607f2e23ddb5618809293c858dea2c3bdd3014e",
-      "bytes": 275835,
-      "rows": 21,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12917",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012917.lean\",\"9dd13d6b078744ea32fda86ae4672156de7380158d5d37f35880e7c947aa2040\",0,\"lean_workbook_plus_23511\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012918.lean\",\"a4cede5171b574449fda919496af2d23e9a1ecff6bd773254cd2b607dd23dbd2\",0,\"lean_workbook_plus_17561\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012919.lean\",\"dd7610fe19a7cd8ccca544e199b62ebc6ff396babf5e1cd55e3962c164915ad8\",0,\"lean_workbook_plus_36683\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275835,
+      "path": "data/train/p1f/oproofs-s00002-r00012916-n000004-0000-a16f448a91f61af5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "a16f448a91f61af57ff01850a607f2e23ddb5618809293c858dea2c3bdd3014e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012920-n000004.json b/manifests/batches/oproofs/s00002-r00012920-n000004.json
index 90031638d27130db03b78fadd841fb0d1f7ff92c..8483f7de3f431e2f881a9cd4d0cb1a9f2c3e720a 100644
--- a/manifests/batches/oproofs/s00002-r00012920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012920-n000004",
   "batch_fingerprint": "6542d7a688673f09739cb45135a835df6535f0d3d8046297d513730f7220f6df",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12920",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12921",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12922",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12923"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012920.lean\",\"e83ee1b524a078f5a2df6616478219f1363cce64c6f7be7402104e7ad6108f87\",0,\"lean_workbook_plus_52934\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012921.lean\",\"d27fb9ac038f77968aa8784f5024a41246432d681294d7122ec176667a59d172\",0,\"fraction_sqrt_equation\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012922.lean\",\"6365bc16503716cca882208959afe0225932256a2cf9f49c5289c1a4362abd06\",0,\"lean_workbook_plus_57691\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012923.lean\",\"cfbbdfe355f82c46ebf56c77f74824da5f69b12fd7e68501baa95ad29f9bd6db\",0,\"lean_workbook_plus_66801\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012920-n000004-0000-679a31617c035371.parquet",
-      "sha256": "679a31617c0353719e8bbf31eaee56bf5ba229c159c1c4919a3f82741f0d2226",
       "bytes": 243333,
+      "path": "data/train/p86/oproofs-s00002-r00012920-n000004-0000-679a31617c035371.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "679a31617c0353719e8bbf31eaee56bf5ba229c159c1c4919a3f82741f0d2226"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012920-n000004-0000-0623b788f7df9cbe.parquet",
-      "sha256": "0623b788f7df9cbe7862f12341bda864f7e88a0b1489b890e1c5021e9e4e6559",
       "bytes": 79177,
+      "path": "data/dev/p86/oproofs-s00002-r00012920-n000004-0000-0623b788f7df9cbe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "0623b788f7df9cbe7862f12341bda864f7e88a0b1489b890e1c5021e9e4e6559"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012920-n000004-0000-924a201dd8964218.parquet",
-      "sha256": "924a201dd8964218a1157e31b05ed1fd514e0d6f41629136e6d0b7b841110585",
       "bytes": 59990,
+      "path": "data/internal_test/p86/oproofs-s00002-r00012920-n000004-0000-924a201dd8964218.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
+      "sha256": "924a201dd8964218a1157e31b05ed1fd514e0d6f41629136e6d0b7b841110585"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12920",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12921",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12922",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12923"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012920.lean\",\"e83ee1b524a078f5a2df6616478219f1363cce64c6f7be7402104e7ad6108f87\",0,\"lean_workbook_plus_52934\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012921.lean\",\"d27fb9ac038f77968aa8784f5024a41246432d681294d7122ec176667a59d172\",0,\"fraction_sqrt_equation\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012922.lean\",\"6365bc16503716cca882208959afe0225932256a2cf9f49c5289c1a4362abd06\",0,\"lean_workbook_plus_57691\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012923.lean\",\"cfbbdfe355f82c46ebf56c77f74824da5f69b12fd7e68501baa95ad29f9bd6db\",0,\"lean_workbook_plus_66801\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012924-n000004.json b/manifests/batches/oproofs/s00002-r00012924-n000004.json
index 204b62b70aa26a326bc008cbe966ef10b23e5035..7e3838dc09271501d50fcaabfe10f4706476e962 100644
--- a/manifests/batches/oproofs/s00002-r00012924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012924-n000004",
   "batch_fingerprint": "1dbac7ef96bc867e8eb3d8d1f9f58ee57f2047db4211f160aa80293b4d0b48f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012924-n000004-0000-152a70edbf2e73ca.parquet",
-      "sha256": "152a70edbf2e73caef61ae6e1ff354863f5b68954296a12963373871bd81f632",
-      "bytes": 133888,
-      "rows": 15,
-      "revision": "59df36e7bacfac5d880421e7026482395c38b701"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012925.lean\",\"6bf78b42482e9b8196290fafa89d4776e2dcfc5d122be81d09e9ccc76eedfbf5\",0,\"lean_workbook_plus_50221\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012926.lean\",\"b3912e9d01d675e41f517323d4ea78251eb471e06da091a5f785d3917fe9b610\",0,\"lean_workbook_31925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012927.lean\",\"a44f0cb4f40f203647b44a32e61f8831f606f6f99a5ea3b89c796738e385b0a7\",0,\"band_seats_needed\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133888,
+      "path": "data/train/pcd/oproofs-s00002-r00012924-n000004-0000-152a70edbf2e73ca.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "152a70edbf2e73caef61ae6e1ff354863f5b68954296a12963373871bd81f632"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012928-n000004.json b/manifests/batches/oproofs/s00002-r00012928-n000004.json
index 127f4f1603d7d9302eb8f51fbec3d6bb2c9166d1..fcf6d488df4f9733af63de2cd15d871d0c2dc313 100644
--- a/manifests/batches/oproofs/s00002-r00012928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012928-n000004",
   "batch_fingerprint": "81dff58c881c7eea9632a570d0e03992ded0f308b7c7f346fe97714cb0998e6b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012928-n000004-0000-72f300be83c80ae6.parquet",
-      "sha256": "72f300be83c80ae62a135932cb492014262e8eae09c5974b0b3f34b8063b4ec6",
-      "bytes": 70065,
-      "rows": 9,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012928-n000004-0000-f69ea263c122e5b7.parquet",
-      "sha256": "f69ea263c122e5b71225566b0874568470c6b82a5a82c513377960e317caaa6b",
-      "bytes": 121835,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12929",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012929.lean\",\"10971a024c39b208f44fef5a2d624cdcd6d7413c0127294e456e5d850314f308\",0,\"lean_workbook_plus_71212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012930.lean\",\"02dd01502865b7a64cdd257c640ec67bb2436bd7cb053ba202834ae8e6679310\",0,\"lean_workbook_plus_42629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012931.lean\",\"d53aba69e5c4517ff97092faa9c29090896a240b70d1fadfa0cf44aa25d307e8\",0,\"lean_workbook_plus_71409\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70065,
+      "path": "data/train/pcf/oproofs-s00002-r00012928-n000004-0000-72f300be83c80ae6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "72f300be83c80ae62a135932cb492014262e8eae09c5974b0b3f34b8063b4ec6"
+    },
+    {
+      "bytes": 121835,
+      "path": "data/internal_test/pcf/oproofs-s00002-r00012928-n000004-0000-f69ea263c122e5b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "f69ea263c122e5b71225566b0874568470c6b82a5a82c513377960e317caaa6b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012932-n000004.json b/manifests/batches/oproofs/s00002-r00012932-n000004.json
index 4619f5ef671460367708c7e4d80215b0915c3307..6f4c7efa3be72a328be39b0b7d43023730401d5e 100644
--- a/manifests/batches/oproofs/s00002-r00012932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012932-n000004",
   "batch_fingerprint": "534f2ac76b9224530c6430d1b8c04ad02791796725b749e0760e3397d64fb8bb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012932-n000004-0000-e449af8d5b2f6253.parquet",
-      "sha256": "e449af8d5b2f625366ec502df341a3a2d1bf565a77336f5519067b5ce9d79e62",
-      "bytes": 493766,
-      "rows": 30,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012932-n000004-0000-f8763bc181e7b303.parquet",
-      "sha256": "f8763bc181e7b30351e31d4e4a4345d989204d2be6f8a011d9688cbbfa75f325",
-      "bytes": 43433,
-      "rows": 3,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12933",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012933.lean\",\"6522efb75ae1966074bd09c5013b9510b807b9bce826228da16ef5026c7e604a\",0,\"lean_workbook_plus_19888\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012934.lean\",\"a229eb27180545dbe09a6c34ec5458d42017667deb31e9cbf4f868145cffd0f9\",0,\"lean_workbook_plus_57797\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012935.lean\",\"6cf86d6b28a7186c09d6372c8801a2cd1dc2686ef798ebac2f0b774e29f8da7e\",0,\"lean_workbook_plus_3106\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 493766,
+      "path": "data/train/pd6/oproofs-s00002-r00012932-n000004-0000-e449af8d5b2f6253.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "e449af8d5b2f625366ec502df341a3a2d1bf565a77336f5519067b5ce9d79e62"
+    },
+    {
+      "bytes": 43433,
+      "path": "data/dev/pd6/oproofs-s00002-r00012932-n000004-0000-f8763bc181e7b303.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f8763bc181e7b30351e31d4e4a4345d989204d2be6f8a011d9688cbbfa75f325"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012936-n000004.json b/manifests/batches/oproofs/s00002-r00012936-n000004.json
index 107a15840a8ff9bd97db1ed7e03d63b01149a7b3..7e688ed91930de1a807ee819627ce3e75217c4d4 100644
--- a/manifests/batches/oproofs/s00002-r00012936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012936-n000004",
   "batch_fingerprint": "7573751b5b528d4fce7c4ff8ad767ec20db407a7a4240fde8243d2c932f709ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012936-n000004-0000-27149392421c785d.parquet",
-      "sha256": "27149392421c785dc754a287aa7b051349b8f86c516e04a803f5d44b08dcd1c3",
-      "bytes": 318889,
-      "rows": 17,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012936-n000004-0000-b3dde01c8c49781f.parquet",
-      "sha256": "b3dde01c8c49781f959cdda0d9b9e06b4cd11be5940dd3faaac25fa1723a9f71",
-      "bytes": 173730,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012937.lean\",\"815fde20310b6ef1432a84a101a44c631e9012be921ca77e8fcbfd8a5cd6ba6d\",0,\"lean_workbook_50892\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012938.lean\",\"17719606800064419926fea401b033b1ddd1b57d557d8ba7e9b9d3f0c5ccd15b\",0,\"lean_workbook_plus_43446\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012939.lean\",\"296c054faef420b553983532802fcc47710ae2bf0b1a50a34a57ab174be0ba27\",0,\"lean_workbook_16149\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 318889,
+      "path": "data/train/p45/oproofs-s00002-r00012936-n000004-0000-27149392421c785d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "27149392421c785dc754a287aa7b051349b8f86c516e04a803f5d44b08dcd1c3"
+    },
+    {
+      "bytes": 173730,
+      "path": "data/internal_test/p45/oproofs-s00002-r00012936-n000004-0000-b3dde01c8c49781f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "b3dde01c8c49781f959cdda0d9b9e06b4cd11be5940dd3faaac25fa1723a9f71"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012940-n000004.json b/manifests/batches/oproofs/s00002-r00012940-n000004.json
index e220a522d829628dded488955ce4bf9ab92b8b4c..cb4cfb02bb21d4bd20c288a8ae8a8f36cc7f0462 100644
--- a/manifests/batches/oproofs/s00002-r00012940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012940-n000004",
   "batch_fingerprint": "a80004f9f85c697fbc832fa59df8cbd572b3a279f14a1126684a7d79aceed8d0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012940-n000004-0000-1c72a5230dcfbe2e.parquet",
-      "sha256": "1c72a5230dcfbe2e96d3d13e3757e99ebe2ae7fbe47f1462d9edbcedc3ec08fe",
-      "bytes": 170248,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012940-n000004-0000-ce90f3f29db53b32.parquet",
-      "sha256": "ce90f3f29db53b32914de368aba67bcb66e5c53d8eeee56c71733c56a82c87d8",
-      "bytes": 205767,
-      "rows": 13,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012941.lean\",\"84e2b1fb3fa1d952a9dd4a301dc9f6fd0c516cc58d3ac4faf99136168851693e\",0,\"lean_workbook_plus_17247\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012942.lean\",\"caddaf47da9740472643b6012b701e2a0643ce40b04d5dc3404f34ffd434dc50\",0,\"lean_workbook_15585\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012943.lean\",\"0945a345bcad9dc9c65e6043daa9946138d6eda0460946ad5f6011d294932113\",0,\"lean_workbook_55309\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 170248,
+      "path": "data/train/pb8/oproofs-s00002-r00012940-n000004-0000-1c72a5230dcfbe2e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "1c72a5230dcfbe2e96d3d13e3757e99ebe2ae7fbe47f1462d9edbcedc3ec08fe"
+    },
+    {
+      "bytes": 205767,
+      "path": "data/internal_test/pb8/oproofs-s00002-r00012940-n000004-0000-ce90f3f29db53b32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ce90f3f29db53b32914de368aba67bcb66e5c53d8eeee56c71733c56a82c87d8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012944-n000004.json b/manifests/batches/oproofs/s00002-r00012944-n000004.json
index 372efe9c52e6a90bb356687ffa4a2a31254b7479..34988802b226c4d95c7348841c7b516d624a2bd8 100644
--- a/manifests/batches/oproofs/s00002-r00012944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012944-n000004",
   "batch_fingerprint": "4a710a39f6305f8b6737125cd7bbcb0b465df0658c61d32e9e3b627893dc8f86",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12944",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12945",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12946",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12947"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012944.lean\",\"9f1981310cce5d0224bc8c2838c64611b7924737bef63264630384aa92444403\",0,\"lean_workbook_plus_4163\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012945.lean\",\"47562ddcf5b52e38c5de2ddc23c7e252981a91c9c5a91881f0fdb2464328252c\",0,\"lean_workbook_plus_71497\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012946.lean\",\"35816cf03030cfa52cf26956a4d59086ce2152bab8686556858fb147c27c2250\",0,\"lean_workbook_plus_7415\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012947.lean\",\"eba26bdd08496fd54aa88c40bd412d17cb35ac5ab2c09b3a26024d789f8989fa\",0,\"lean_workbook_plus_26908\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012944-n000004-0000-d9cc990c1a9d7e74.parquet",
-      "sha256": "d9cc990c1a9d7e74431dff0a8ac449873e5fdba6eb108827172b059be14458bb",
       "bytes": 149440,
+      "path": "data/train/pf0/oproofs-s00002-r00012944-n000004-0000-d9cc990c1a9d7e74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "d9cc990c1a9d7e74431dff0a8ac449873e5fdba6eb108827172b059be14458bb"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012944-n000004-0000-c982cb9d7ba1b414.parquet",
-      "sha256": "c982cb9d7ba1b41497608dfe92f2deed382a951d6adb3175599ee182f133b708",
       "bytes": 107794,
+      "path": "data/dev/pf0/oproofs-s00002-r00012944-n000004-0000-c982cb9d7ba1b414.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "c982cb9d7ba1b41497608dfe92f2deed382a951d6adb3175599ee182f133b708"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012944-n000004-0000-12e2df34dd0ee129.parquet",
-      "sha256": "12e2df34dd0ee129364a27614ab71edb66c1d0371e01605d0563b12d7b443015",
       "bytes": 51992,
+      "path": "data/internal_test/pf0/oproofs-s00002-r00012944-n000004-0000-12e2df34dd0ee129.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "12e2df34dd0ee129364a27614ab71edb66c1d0371e01605d0563b12d7b443015"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12944",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12945",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12946",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12947"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012944.lean\",\"9f1981310cce5d0224bc8c2838c64611b7924737bef63264630384aa92444403\",0,\"lean_workbook_plus_4163\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012945.lean\",\"47562ddcf5b52e38c5de2ddc23c7e252981a91c9c5a91881f0fdb2464328252c\",0,\"lean_workbook_plus_71497\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012946.lean\",\"35816cf03030cfa52cf26956a4d59086ce2152bab8686556858fb147c27c2250\",0,\"lean_workbook_plus_7415\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012947.lean\",\"eba26bdd08496fd54aa88c40bd412d17cb35ac5ab2c09b3a26024d789f8989fa\",0,\"lean_workbook_plus_26908\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012948-n000004.json b/manifests/batches/oproofs/s00002-r00012948-n000004.json
index 24d189e10618eb50f84354273445a3273612f498..ef893bf6e6f1ccd9d7f8e327dd1a20b64e2e639a 100644
--- a/manifests/batches/oproofs/s00002-r00012948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012948-n000004",
   "batch_fingerprint": "4dc19deb6e1dfd88971b6d0e4b63ceb7d9b04398e2583eb3ed3102392cb11418",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012948-n000004-0000-1b58a1ee0ac45a9f.parquet",
-      "sha256": "1b58a1ee0ac45a9f1460bba967b0410cd709b3b14aff4c58e37e6b6306780531",
-      "bytes": 595983,
-      "rows": 16,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012948-n000004-0000-177dcbef210153f0.parquet",
-      "sha256": "177dcbef210153f009aa817111a23de40f0294210ff3eabdde0c13d3e4f0a751",
-      "bytes": 321281,
-      "rows": 10,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012949.lean\",\"080bd3b91082e1b82307bac216dc11ee48efc63182e86f1cd04f5cceaedccdc3\",0,\"lean_workbook_plus_26934\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012950.lean\",\"91e94cb2accddc16c682b90ae40f2dff6c1f6199ec32bce31baad794a8db8a9b\",0,\"lean_workbook_plus_32916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012951.lean\",\"b827453ce93cfe5d27c43a71a74f37db5075f2e898e51f9a367893b1af5b8c1f\",0,\"lean_workbook_plus_49207\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 595983,
+      "path": "data/train/p79/oproofs-s00002-r00012948-n000004-0000-1b58a1ee0ac45a9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "1b58a1ee0ac45a9f1460bba967b0410cd709b3b14aff4c58e37e6b6306780531"
+    },
+    {
+      "bytes": 321281,
+      "path": "data/internal_test/p79/oproofs-s00002-r00012948-n000004-0000-177dcbef210153f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "177dcbef210153f009aa817111a23de40f0294210ff3eabdde0c13d3e4f0a751"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012952-n000004.json b/manifests/batches/oproofs/s00002-r00012952-n000004.json
index af5aa0e02d1a0cf3076bbf3fec4dec8ae6195440..cddd8fc43e13db231d12afadd62eb50876e89bbb 100644
--- a/manifests/batches/oproofs/s00002-r00012952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012952-n000004",
   "batch_fingerprint": "ad813d3bb8e1f4e4f70bdaf39d304afb97d2c5bb261f749fc00d4355d53aacc7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012952-n000004-0000-5fe23a8cae2ed8f6.parquet",
-      "sha256": "5fe23a8cae2ed8f648d3065ec789c7d37ea94d616508ed6cfbc2462f7a54d43b",
-      "bytes": 836511,
-      "rows": 24,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012952-n000004-0001-8a52ad0c5cf3adbb.parquet",
-      "sha256": "8a52ad0c5cf3adbb5d3381fb2b1c238cddfbc9d1cf6356615f3cfeb05ba09dc6",
-      "bytes": 157182,
-      "rows": 4,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12953",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012953.lean\",\"5444e1d15f3c2934ba7c53d283fc2a0978e3325007e4146a40476f1f2518ee7f\",0,\"lean_workbook_plus_37445\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012954.lean\",\"0c6235e04b707d8e6f585556840c33daccd7ec66d9d82959360794bdae267d73\",0,\"lean_workbook_plus_32865\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012955.lean\",\"7841103c0f80582f4fd6e2fb92871ddf5311f74271aa775361bcbff56c45bd93\",0,\"lean_workbook_plus_58696\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 836511,
+      "path": "data/train/pfe/oproofs-s00002-r00012952-n000004-0000-5fe23a8cae2ed8f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "5fe23a8cae2ed8f648d3065ec789c7d37ea94d616508ed6cfbc2462f7a54d43b"
+    },
+    {
+      "bytes": 157182,
+      "path": "data/train/pfe/oproofs-s00002-r00012952-n000004-0001-8a52ad0c5cf3adbb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "8a52ad0c5cf3adbb5d3381fb2b1c238cddfbc9d1cf6356615f3cfeb05ba09dc6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012956-n000004.json b/manifests/batches/oproofs/s00002-r00012956-n000004.json
index fda500c6b4bdde2414a115b800773793edca5eb9..fa0f519f3b68009986e4c15ba656ae2abb2ad79f 100644
--- a/manifests/batches/oproofs/s00002-r00012956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012956-n000004",
   "batch_fingerprint": "ed6dcb432c0b8cd16a5eab23732e39cb73fc675ce26e29f0fa1de801d216a709",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012956-n000004-0000-ec2b014d349a9d0f.parquet",
-      "sha256": "ec2b014d349a9d0fa1fc45c3402f2e4b3b21d6d24e7eed500e6716f5ba93a324",
-      "bytes": 422716,
-      "rows": 24,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12957",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12958",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012957.lean\",\"9267b547c86dd409bc7cc3596d585335bd449b66c8d36cf7094bbd2a24a5f5ed\",0,\"lean_workbook_plus_29844\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012958.lean\",\"a4c0ca4ce0140f6a2ea756dc5103782e71112a63935ddbfdd08cbb4cfaf276a4\",0,\"lean_workbook_plus_45330\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012959.lean\",\"226ac1c259d29cb0bc8602b65b07e9763920412e40cb876851752ece9daf79c5\",0,\"lean_workbook_plus_56963\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 422716,
+      "path": "data/train/pd4/oproofs-s00002-r00012956-n000004-0000-ec2b014d349a9d0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ec2b014d349a9d0fa1fc45c3402f2e4b3b21d6d24e7eed500e6716f5ba93a324"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012960-n000004.json b/manifests/batches/oproofs/s00002-r00012960-n000004.json
index de5abf6fe199c18c57285ef9ec942f6d1138f10f..cdae2747263af1946cf12d9c27b301b1fad1bc4b 100644
--- a/manifests/batches/oproofs/s00002-r00012960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012960-n000004",
   "batch_fingerprint": "a24fb38a9aa4bae468730438b999010ee8b42b9e80a6221939dee4a12adeebe4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012960-n000004-0000-0059885fd4ffc8dd.parquet",
-      "sha256": "0059885fd4ffc8dd8b0fed7a5c862fbe5ca3ceca7ecc301189583103caef2a61",
-      "bytes": 953230,
-      "rows": 25,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00012960-n000004-0001-4105b807ad03576b.parquet",
-      "sha256": "4105b807ad03576bb26758a0f51dfd3cf4364be0154c69548e29d41cfaa30bd2",
-      "bytes": 271079,
-      "rows": 4,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12960",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12961",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012961.lean\",\"1780447b8bc01c218b7225374264c9773d57055d6940dea130890b5530144bb9\",0,\"lean_workbook_plus_55420\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012962.lean\",\"b2631779362bca12d2bde54fa5703ad667eb28e2188d46c10c44e5af44aa0a42\",0,\"lean_workbook_plus_26536\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012963.lean\",\"c15dc310e6a6ea563df6acdedf6fc90bf93d0935132848cbc365df36eece027f\",0,\"lean_workbook_plus_66217\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 953230,
+      "path": "data/train/p97/oproofs-s00002-r00012960-n000004-0000-0059885fd4ffc8dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "0059885fd4ffc8dd8b0fed7a5c862fbe5ca3ceca7ecc301189583103caef2a61"
+    },
+    {
+      "bytes": 271079,
+      "path": "data/train/p97/oproofs-s00002-r00012960-n000004-0001-4105b807ad03576b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4105b807ad03576bb26758a0f51dfd3cf4364be0154c69548e29d41cfaa30bd2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012964-n000004.json b/manifests/batches/oproofs/s00002-r00012964-n000004.json
index 3972ba9a7ef84da36831c0e92e59304ec8c894fc..50c4417ac1833a2613d646bea17e702dc9f68b99 100644
--- a/manifests/batches/oproofs/s00002-r00012964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012964-n000004",
   "batch_fingerprint": "b47a88e5eb07e3d5c69c98982cfb8b9ef260ad29e524c60c639cd0e281e2a81a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012964-n000004-0000-5ce2e6424f2182ed.parquet",
-      "sha256": "5ce2e6424f2182ed576e41d94cbbb9f20d4a129225fa7bc470c2085d71fc43f4",
-      "bytes": 555631,
-      "rows": 25,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012965.lean\",\"20a4d092e9b438d06d96c3590811a6cc7a3930118f69190c4b27cddab5f90b11\",0,\"lean_workbook_plus_20679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012966.lean\",\"d6d78d3afbf2cd1bdc243b8ae5bfedbd7fe83aaa5f75532520dd0cb554b62595\",0,\"lean_workbook_2618\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012967.lean\",\"6b5a12331f3ec11fc4741068f1923c3f1b8ad106f936d56a4b806ddbb4f6e5ce\",0,\"ellipse_triangle_area\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 555631,
+      "path": "data/train/p21/oproofs-s00002-r00012964-n000004-0000-5ce2e6424f2182ed.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5ce2e6424f2182ed576e41d94cbbb9f20d4a129225fa7bc470c2085d71fc43f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012968-n000004.json b/manifests/batches/oproofs/s00002-r00012968-n000004.json
index a3f750a68c9e3601645e88825da20eefb9d4098e..e54f63b52e8a1a9e61af456f29ec75cc48066800 100644
--- a/manifests/batches/oproofs/s00002-r00012968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012968-n000004",
   "batch_fingerprint": "1c08e41e63d9bb7aa51c2dcdf9f12e8b400a6e55ca96ed4c58ae7c797c1292cb",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012968-n000004-0000-9d7e6b51b00f6222.parquet",
-      "sha256": "9d7e6b51b00f6222e1ab0bd9b6fc42efa1c17a95327caf7cf6f9353d6ae2c7ca",
-      "bytes": 105171,
-      "rows": 16,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012968-n000004-0000-ac53dc5ac894d225.parquet",
-      "sha256": "ac53dc5ac894d225718f6608cde2fe5ce926adabb3b09fa843a35c4f315df255",
-      "bytes": 45739,
-      "rows": 2,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12969",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012969.lean\",\"22e4055f049e03efd46d9be94e689c4a1360ba5bee6a4b03c8ef295d7a38bb13\",0,\"lean_workbook_15799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012970.lean\",\"5ff7841b06fea0ad1218d76882839aa55470fab38af4ca5d000d6d73f045f1cc\",0,\"lean_workbook_plus_53312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012971.lean\",\"0af68b237e4c7f0189c8a810c7b86ddd25548c1302f9a756b65b224ce1b68d5c\",0,\"lean_workbook_plus_56710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105171,
+      "path": "data/train/p60/oproofs-s00002-r00012968-n000004-0000-9d7e6b51b00f6222.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9d7e6b51b00f6222e1ab0bd9b6fc42efa1c17a95327caf7cf6f9353d6ae2c7ca"
+    },
+    {
+      "bytes": 45739,
+      "path": "data/internal_test/p60/oproofs-s00002-r00012968-n000004-0000-ac53dc5ac894d225.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ac53dc5ac894d225718f6608cde2fe5ce926adabb3b09fa843a35c4f315df255"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012972-n000004.json b/manifests/batches/oproofs/s00002-r00012972-n000004.json
index 086408e1c5debe9d18acc2b21a57fb30be229701..d3af32ec67acdfdb441d5665432ead97f7e3a1c2 100644
--- a/manifests/batches/oproofs/s00002-r00012972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012972-n000004",
   "batch_fingerprint": "ff599978016ed9fa23b96a3d34ae8e4e1e923835c097b18f641d737a83b42516",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012972-n000004-0000-85db6e1818b0c424.parquet",
-      "sha256": "85db6e1818b0c424fab893945e332827ac27378b606859d3c8f43069f0745ebb",
-      "bytes": 118695,
-      "rows": 9,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012972-n000004-0000-cbd25e650c3cfbc6.parquet",
-      "sha256": "cbd25e650c3cfbc6f9cc8a5d0f5a99d41c3fe97cd673fd9989237578ab472d4d",
-      "bytes": 53684,
-      "rows": 4,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12973",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012973.lean\",\"198a58d216d1aca101b2b8e12339d4abdecfa136e24322c5c7d41e93b5ebac21\",0,\"lean_workbook_plus_61580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012974.lean\",\"659dc6a5ba46677c404c1ac93089b63a0b84173e83531afd7549099f40e8a5d2\",0,\"lean_workbook_plus_69036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012975.lean\",\"b87454c9e8c6418815fa3bb9245d3bf13d0243148aaa9cfd773ff830692bce3a\",0,\"lean_workbook_plus_17872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118695,
+      "path": "data/train/p74/oproofs-s00002-r00012972-n000004-0000-85db6e1818b0c424.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "85db6e1818b0c424fab893945e332827ac27378b606859d3c8f43069f0745ebb"
+    },
+    {
+      "bytes": 53684,
+      "path": "data/internal_test/p74/oproofs-s00002-r00012972-n000004-0000-cbd25e650c3cfbc6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "cbd25e650c3cfbc6f9cc8a5d0f5a99d41c3fe97cd673fd9989237578ab472d4d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012976-n000004.json b/manifests/batches/oproofs/s00002-r00012976-n000004.json
index cc05c245699bff5f7b066b23de1bafe912f20aac..af09d0ae5f09bc491a116737372f3929f5b88c96 100644
--- a/manifests/batches/oproofs/s00002-r00012976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012976-n000004",
   "batch_fingerprint": "71a948cb11b08416188bede37c2a1eff70e3bb3e21bb30f669b561fb21b43e51",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012976-n000004-0000-598d71291d922169.parquet",
-      "sha256": "598d71291d92216940bd8c4163dc3b8cb994c242aa37da4098b52599176d96f6",
-      "bytes": 372467,
-      "rows": 23,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012976-n000004-0000-cea2317d54829625.parquet",
-      "sha256": "cea2317d54829625e7233fd152b1339578e3c85d910228259f3135d86a6f365e",
-      "bytes": 205391,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12977",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012977.lean\",\"e1907b0a79b65b7fb11202d99b7b1af8ec5fd623e383037662b895dc6ecb2211\",0,\"lean_workbook_plus_14232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012978.lean\",\"bf62f36b30e142d27ebfbcca89b5d61535123b10f2250b6ec5aa7211d47b9e28\",0,\"lean_workbook_plus_16220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012979.lean\",\"876a3c7002996af9c8bdc49328312a516e533d1610d9a824202b10faf4fb5ebe\",0,\"lean_workbook_plus_42492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 372467,
+      "path": "data/train/pae/oproofs-s00002-r00012976-n000004-0000-598d71291d922169.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "598d71291d92216940bd8c4163dc3b8cb994c242aa37da4098b52599176d96f6"
+    },
+    {
+      "bytes": 205391,
+      "path": "data/internal_test/pae/oproofs-s00002-r00012976-n000004-0000-cea2317d54829625.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cea2317d54829625e7233fd152b1339578e3c85d910228259f3135d86a6f365e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012980-n000004.json b/manifests/batches/oproofs/s00002-r00012980-n000004.json
index 6a2977a502e03840b7d38f43b8f79bb8a4910025..f34bfcea52489c71d33937cdd9cd5737d45d92ee 100644
--- a/manifests/batches/oproofs/s00002-r00012980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012980-n000004",
   "batch_fingerprint": "96171fc1fc828e8ea7b304a009757128d021243fec29429ae4260211382500d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012980-n000004-0000-65fd92143da0ee18.parquet",
-      "sha256": "65fd92143da0ee184e5d7248566f69818795423e80f262a02125d4ba3f2fbc87",
-      "bytes": 288618,
-      "rows": 15,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00012980-n000004-0000-03a718eb472ac2b0.parquet",
-      "sha256": "03a718eb472ac2b0c9f5053349b135c8ba3c9ac914d0ce8a3f15817ac7d56dd0",
-      "bytes": 127966,
-      "rows": 3,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12981",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012981.lean\",\"82c2f6aba3ca8b8e2d932d5b82bc03387657cc74e7a7b908a03e8f31fd53bdea\",0,\"lean_workbook_plus_67803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012982.lean\",\"597bcb7fca56333d080c08a57ba6d30178cdce10e8c0a503618c0e01e4d17591\",0,\"lean_workbook_plus_4657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012983.lean\",\"71c12f890e58ad8d450ed99aaf72a8d240c45820d0bcdb5958ada06b328e6485\",0,\"lean_workbook_plus_59172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 288618,
+      "path": "data/train/p15/oproofs-s00002-r00012980-n000004-0000-65fd92143da0ee18.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "65fd92143da0ee184e5d7248566f69818795423e80f262a02125d4ba3f2fbc87"
+    },
+    {
+      "bytes": 127966,
+      "path": "data/dev/p15/oproofs-s00002-r00012980-n000004-0000-03a718eb472ac2b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "03a718eb472ac2b0c9f5053349b135c8ba3c9ac914d0ce8a3f15817ac7d56dd0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012984-n000004.json b/manifests/batches/oproofs/s00002-r00012984-n000004.json
index 9217c45e15df79e449689a612563308e109cf7af..1fbe670f5a6ae85426583463c757817c9e8db63c 100644
--- a/manifests/batches/oproofs/s00002-r00012984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012984-n000004",
   "batch_fingerprint": "19b460f52f3153dd3d86ede4c7f266158232e9898e5523819d387ef2680979d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012984-n000004-0000-c8d84903f73483f2.parquet",
-      "sha256": "c8d84903f73483f260e73b39b06ce2e33a384e0aa783583f8f10d6497aa1ea62",
-      "bytes": 463882,
-      "rows": 23,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012985.lean\",\"7fe709208265a4cf55a9644e2ed21b63264b3f54c75c517120f1b060d0cbfda5\",0,\"lean_workbook_plus_46533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012986.lean\",\"8255332431d3f79c7cabafabce8cda2b844c3a4eacc5414648b413588ae30fe6\",0,\"lean_workbook_plus_77562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012987.lean\",\"07e059e580e8b028582adc219d99c78735124239265272ea7ff79cf4257eaa3a\",0,\"lean_workbook_21759\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 463882,
+      "path": "data/train/p71/oproofs-s00002-r00012984-n000004-0000-c8d84903f73483f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "c8d84903f73483f260e73b39b06ce2e33a384e0aa783583f8f10d6497aa1ea62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012988-n000004.json b/manifests/batches/oproofs/s00002-r00012988-n000004.json
index c8867b8b52b65fd5cc48396250b826bc2918dd5a..175d9df7f79285833a892e1442baadbfca9d2b29 100644
--- a/manifests/batches/oproofs/s00002-r00012988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012988-n000004",
   "batch_fingerprint": "eea909067dc33b467b90cc02a8cb82c70fe35a93270dad773742abadb10a53a2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012988-n000004-0000-eddd20a0b0d68ee1.parquet",
-      "sha256": "eddd20a0b0d68ee1f6d62f499f61f18b3c05664a5f515f91a393580f691dd789",
-      "bytes": 95229,
-      "rows": 9,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00012988-n000004-0000-5169ba35e236cf0d.parquet",
-      "sha256": "5169ba35e236cf0dca9f19382bbaa10659e7c70842527457f720423a33c736fa",
-      "bytes": 104477,
-      "rows": 2,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12989",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012989.lean\",\"febb5874197c2c46061cc109e098d5e9dbede9cf7a85544648a96637464d96f6\",0,\"lean_workbook_plus_72004\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012990.lean\",\"543cc775740e79a7e20632d8e55c7e58a68f0cb637c59294d22030b8ed114992\",0,\"lean_workbook_40801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012991.lean\",\"e84e9e15758bec10464e27d11bd071169b558a3a23691371076004a7599be104\",0,\"lean_workbook_46750\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95229,
+      "path": "data/train/pa8/oproofs-s00002-r00012988-n000004-0000-eddd20a0b0d68ee1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "eddd20a0b0d68ee1f6d62f499f61f18b3c05664a5f515f91a393580f691dd789"
+    },
+    {
+      "bytes": 104477,
+      "path": "data/internal_test/pa8/oproofs-s00002-r00012988-n000004-0000-5169ba35e236cf0d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "5169ba35e236cf0dca9f19382bbaa10659e7c70842527457f720423a33c736fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012992-n000004.json b/manifests/batches/oproofs/s00002-r00012992-n000004.json
index b9b11eda2b664e8fb5d81ad486fe07c0e30fe015..5dd23625c43f521a3eb6c351a5f3415dbc1a6f26 100644
--- a/manifests/batches/oproofs/s00002-r00012992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012992-n000004",
   "batch_fingerprint": "04f71e0c6ecc6d1ea5694b101d8fa7f4c1b7558b74f3c124a87f0590a9c66402",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12992",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12993",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12994",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12995"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012992.lean\",\"e1295d25348d7f34d161be06b4d8e6c9fedf64c68b56cb3298fa0449a72ba039\",0,\"lean_workbook_20442\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012993.lean\",\"214aec45ae739e14ed9c44255b795f7a6f84969a4379f1fe47ff398a5fb57449\",0,\"lean_workbook_plus_28319\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012994.lean\",\"718d91b093b5824453226c30def724d0735f71646625192a97e9481d6034f391\",0,\"lean_workbook_plus_7260\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012995.lean\",\"c70333a90fee33f66d6367711c6c67d81dec74c6e99fdc849d1d4f48ea3afdeb\",0,\"lean_workbook_plus_79808\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00012992-n000004-0000-dd81909df6eba760.parquet",
-      "sha256": "dd81909df6eba76028816de2cdfd9c3cafa569d5421eb85e20dc4cd4700ffe7e",
       "bytes": 137397,
+      "path": "data/train/pc3/oproofs-s00002-r00012992-n000004-0000-dd81909df6eba760.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "dd81909df6eba76028816de2cdfd9c3cafa569d5421eb85e20dc4cd4700ffe7e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00012992-n000004-0000-69f1a10f5b7fd55b.parquet",
-      "sha256": "69f1a10f5b7fd55b6af077015984352cc0f61c3dcf385dbeba2ad2e3f98b1808",
       "bytes": 53806,
+      "path": "data/dev/pc3/oproofs-s00002-r00012992-n000004-0000-69f1a10f5b7fd55b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "69f1a10f5b7fd55b6af077015984352cc0f61c3dcf385dbeba2ad2e3f98b1808"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00012992-n000004-0000-34fbc4aa925b411e.parquet",
-      "sha256": "34fbc4aa925b411e9b964041c1002b39d52d6606c8903c6f054b0170a07ad8e7",
       "bytes": 59616,
+      "path": "data/internal_test/pc3/oproofs-s00002-r00012992-n000004-0000-34fbc4aa925b411e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "34fbc4aa925b411e9b964041c1002b39d52d6606c8903c6f054b0170a07ad8e7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12992",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12993",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12994",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12995"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012992.lean\",\"e1295d25348d7f34d161be06b4d8e6c9fedf64c68b56cb3298fa0449a72ba039\",0,\"lean_workbook_20442\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012993.lean\",\"214aec45ae739e14ed9c44255b795f7a6f84969a4379f1fe47ff398a5fb57449\",0,\"lean_workbook_plus_28319\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012994.lean\",\"718d91b093b5824453226c30def724d0735f71646625192a97e9481d6034f391\",0,\"lean_workbook_plus_7260\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012995.lean\",\"c70333a90fee33f66d6367711c6c67d81dec74c6e99fdc849d1d4f48ea3afdeb\",0,\"lean_workbook_plus_79808\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00012996-n000004.json b/manifests/batches/oproofs/s00002-r00012996-n000004.json
index a74a38d3ebe7d51ea63035c9bae60f8624d09846..5e2846bf76e2cc6afcc53a9c47648d6c04a84d33 100644
--- a/manifests/batches/oproofs/s00002-r00012996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00012996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00012996-n000004",
   "batch_fingerprint": "5df2ad6d76f6e086d7747aa4b5567f018607e2c41c6693225383a004e99abb09",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00012996-n000004-0000-da10693684b2c4f6.parquet",
-      "sha256": "da10693684b2c4f694532c962af3141264d63489002e27ad3d2f5df36aed0e20",
-      "bytes": 471071,
-      "rows": 14,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:12997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012997.lean\",\"78deb70ff89c6b3f1ee35bbf5585c0764704a4a1d6b2a78f60bf9570a18c23e5\",0,\"lean_workbook_plus_13972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012998.lean\",\"eae8b54d9b8939c5a8bc1aa97cc82729144a7133f5bab54b98ecf866d810c17f\",0,\"lean_workbook_11378\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_012999.lean\",\"d19e0faab59568712a0952bb31eb6f5bbe3d7388315352d5313aaf4f256acd49\",0,\"lean_workbook_plus_6712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 471071,
+      "path": "data/train/pca/oproofs-s00002-r00012996-n000004-0000-da10693684b2c4f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "da10693684b2c4f694532c962af3141264d63489002e27ad3d2f5df36aed0e20"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013000-n000004.json b/manifests/batches/oproofs/s00002-r00013000-n000004.json
index b8f97297878ca90a1adf03617d9d7711336d6c6c..2a61fc5a3d1d69cb64a9b1c55136ebec876095bd 100644
--- a/manifests/batches/oproofs/s00002-r00013000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013000-n000004",
   "batch_fingerprint": "b2d20ffd28276a9266fa6953f89233d53ed05274bb8afa42104951562def1da8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013000-n000004-0000-5ae08589df5e50da.parquet",
-      "sha256": "5ae08589df5e50da007d4a04bf8e43e6ec5be1000af2d1089e23a0b058e4ac7b",
-      "bytes": 172524,
-      "rows": 15,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013001.lean\",\"c19657e00d7e81f86c797e182635b2719fb4a0601b4132c68ffe42c55595190c\",0,\"lean_workbook_plus_28275\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013002.lean\",\"d416bcb4797f7776d1f9d2ceb46cc080aac4f423a1f0555ccf18320856378ebc\",0,\"fraction_simplification\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013003.lean\",\"c6685db44264f941668ea1484d305d9b4e7d0b3d81efb268c9f0ba8cd9072322\",0,\"lean_workbook_plus_74019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172524,
+      "path": "data/train/p34/oproofs-s00002-r00013000-n000004-0000-5ae08589df5e50da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5ae08589df5e50da007d4a04bf8e43e6ec5be1000af2d1089e23a0b058e4ac7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013004-n000004.json b/manifests/batches/oproofs/s00002-r00013004-n000004.json
index 2cc03c53935e5f1dd6c01161cff14939bc4fd436..49bf4e15211defaae0ec7361578fd35f3a272b89 100644
--- a/manifests/batches/oproofs/s00002-r00013004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013004-n000004",
   "batch_fingerprint": "34d92285300d5d39dacf2bafed0d16a62fb6402377b1e3904259eacb1fc3c41a",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013004-n000004-0000-44fe06a3c2d22088.parquet",
-      "sha256": "44fe06a3c2d2208897cc01fa620e6c0e943d50b913b97d38aa52faec33521a1a",
-      "bytes": 486608,
-      "rows": 13,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013004-n000004-0000-ab3c0ae2b93db229.parquet",
-      "sha256": "ab3c0ae2b93db22995ecd0089da57f61a7de57c09fba81a8097b8bb52f8200b1",
-      "bytes": 59574,
-      "rows": 2,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13004",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13005",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013004.lean\",\"9b4b03ce359b34c68415c3600f98daa19ed55f2eff79a5e4686c387ee83a4b7f\",0,\"lean_workbook_29953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013005.lean\",\"f378ad31b4bf21443af100e7d115ad737972a87ccd32faa9f4090a0bb750eaa7\",0,\"lean_workbook_32507\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013007.lean\",\"ef009e000eea03ec2d2d1445aa4df24f8d0c7af4bb40f87fc893ace0e22c476f\",0,\"function_properties\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 486608,
+      "path": "data/train/pc3/oproofs-s00002-r00013004-n000004-0000-44fe06a3c2d22088.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "44fe06a3c2d2208897cc01fa620e6c0e943d50b913b97d38aa52faec33521a1a"
+    },
+    {
+      "bytes": 59574,
+      "path": "data/dev/pc3/oproofs-s00002-r00013004-n000004-0000-ab3c0ae2b93db229.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ab3c0ae2b93db22995ecd0089da57f61a7de57c09fba81a8097b8bb52f8200b1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013008-n000004.json b/manifests/batches/oproofs/s00002-r00013008-n000004.json
index 385378c51bc520d2e0379966b3a929802fee77b3..e2462d4d520b9e593f00c68f1d5c89874db7e5bc 100644
--- a/manifests/batches/oproofs/s00002-r00013008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013008-n000004",
   "batch_fingerprint": "ebe9021c6f41c3a21277edb92e087a9fd4c3ec4459d35859884b3c4ba738ed56",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013008-n000004-0000-914888aff15f9aa5.parquet",
-      "sha256": "914888aff15f9aa566d89918ff60f2870a82c05d25ff9f137eb4b296aeebef29",
-      "bytes": 164801,
-      "rows": 22,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013008-n000004-0000-a92d08a5cfb16f98.parquet",
-      "sha256": "a92d08a5cfb16f986a1de7eb497b983ce0810e21eeb3f7dbe52cdc058c51bba9",
-      "bytes": 47525,
-      "rows": 4,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13009",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013009.lean\",\"eecfd602dc542005785d3f3ac32e7f1aab5487c9b48653941ad1d0089ac3921e\",0,\"lean_workbook_37787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013010.lean\",\"bf807391d24a32c0ef8ff69305a3242398ac4588f7048c3cb6a5af9429fa7ce0\",0,\"lean_workbook_plus_16842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013011.lean\",\"75b6f27867cc27af25372392a124e46cc23ae143acce4b7676075ae570519fb2\",0,\"lean_workbook_plus_45945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164801,
+      "path": "data/train/p89/oproofs-s00002-r00013008-n000004-0000-914888aff15f9aa5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "914888aff15f9aa566d89918ff60f2870a82c05d25ff9f137eb4b296aeebef29"
+    },
+    {
+      "bytes": 47525,
+      "path": "data/internal_test/p89/oproofs-s00002-r00013008-n000004-0000-a92d08a5cfb16f98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "a92d08a5cfb16f986a1de7eb497b983ce0810e21eeb3f7dbe52cdc058c51bba9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013012-n000004.json b/manifests/batches/oproofs/s00002-r00013012-n000004.json
index 43dbf09f2ef5e4847eee34ca439e77d967abc1b8..160a0cdf29854ccaa77dce81fbd91030814a1052 100644
--- a/manifests/batches/oproofs/s00002-r00013012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013012-n000004",
   "batch_fingerprint": "006c381c7d9f45e0fb42e737d9df52b727136584172ba82f181c5d4e8c6a9460",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013012-n000004-0000-b1db3e5a569c5761.parquet",
-      "sha256": "b1db3e5a569c5761bd020439989149576269476f2c764e6e0a88ff62e5a1d349",
-      "bytes": 273766,
-      "rows": 13,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013012-n000004-0000-9b94fad67c690b23.parquet",
-      "sha256": "9b94fad67c690b23e588161a39a6f7c5beb2ed283d0d6935ef0e272f4f7dcd89",
-      "bytes": 45788,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13013",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013013.lean\",\"8f3454db45568a15224fa7370394c0daee06b3fe1cbcaa53d992fb066b026a4b\",0,\"lean_workbook_plus_80435\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013014.lean\",\"8fbf9f843d99f71004a52ed0ccdeba5402a4a1ba458a2540e2792348a23f6f2d\",0,\"lean_workbook_plus_41746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013015.lean\",\"915b05d5a6724d81c5cafbe3f6515b7d296e6062f13d0f49b9f26f7d41e8de73\",0,\"lean_workbook_10335\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 273766,
+      "path": "data/train/pde/oproofs-s00002-r00013012-n000004-0000-b1db3e5a569c5761.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b1db3e5a569c5761bd020439989149576269476f2c764e6e0a88ff62e5a1d349"
+    },
+    {
+      "bytes": 45788,
+      "path": "data/internal_test/pde/oproofs-s00002-r00013012-n000004-0000-9b94fad67c690b23.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "9b94fad67c690b23e588161a39a6f7c5beb2ed283d0d6935ef0e272f4f7dcd89"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013016-n000004.json b/manifests/batches/oproofs/s00002-r00013016-n000004.json
index cbc70f49d3f1dd85f2d20ea5599c973bf67ed1af..8883f8105cd8ac32fd4d89fe978c32d00a2add58 100644
--- a/manifests/batches/oproofs/s00002-r00013016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013016-n000004",
   "batch_fingerprint": "6cf7f925502223b36264344149aabc180de5fabe17c873faffec1e5e81d7a019",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013016-n000004-0000-175f777d843c0a2b.parquet",
-      "sha256": "175f777d843c0a2b7e7fbf62fa85fd1220698ffafbdf50bf14d6a83b103053a1",
-      "bytes": 84474,
-      "rows": 8,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013016-n000004-0000-78acfba399e6941d.parquet",
-      "sha256": "78acfba399e6941d0dfbbd375f64f3cec2000e0bb7b2f86e364cb1c444553f0c",
-      "bytes": 32232,
-      "rows": 2,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13017",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013017.lean\",\"c26fbcdf2303e82e8231619e42a44c066b2b7cfbcd1c19adb50ff2a65152993e\",0,\"lean_workbook_plus_30776\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013018.lean\",\"b9fbd860fb74942ca3e589bb6c3c9e78dac39410815f7feb0568b14e11f14674\",0,\"lean_workbook_plus_45289\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013019.lean\",\"eb51f349d5c62863c4c03c738c1c4fdcbebf1b6ecda762ab4e58910f56f0c665\",0,\"lean_workbook_plus_69866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84474,
+      "path": "data/train/pf4/oproofs-s00002-r00013016-n000004-0000-175f777d843c0a2b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "175f777d843c0a2b7e7fbf62fa85fd1220698ffafbdf50bf14d6a83b103053a1"
+    },
+    {
+      "bytes": 32232,
+      "path": "data/dev/pf4/oproofs-s00002-r00013016-n000004-0000-78acfba399e6941d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "78acfba399e6941d0dfbbd375f64f3cec2000e0bb7b2f86e364cb1c444553f0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013020-n000004.json b/manifests/batches/oproofs/s00002-r00013020-n000004.json
index 7fbee0baf96f9ef9a89519826c72a139bc7cec4e..e6ecbe18e033112af0b63a38b433ffda3ccafac9 100644
--- a/manifests/batches/oproofs/s00002-r00013020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013020-n000004",
   "batch_fingerprint": "0b7cc61582fb81cd60afe0133dde7af62bac0d0ceea2574611642d0cb4ff154b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013020-n000004-0000-5fe94414fa9ed50f.parquet",
-      "sha256": "5fe94414fa9ed50fc88b1539b477fb96e268c52d976cbab2193355942e43cec2",
-      "bytes": 255618,
-      "rows": 16,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13021",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013021.lean\",\"96b91ea9ed3910ce85bc6bf623766fabca5e2485ae4ffaf961bf277c116c903f\",0,\"lean_workbook_plus_75899\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013022.lean\",\"4a8eaadd031eea68ad2527f33e48ac6abed915cddf5ffe4bf596e8a455f7fa57\",0,\"lean_workbook_plus_78762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013023.lean\",\"bf3ef844f116abf5ccba2459780a57540f4cbb699d86584f291e525c50b30cb0\",0,\"lean_workbook_14875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 255618,
+      "path": "data/train/pc1/oproofs-s00002-r00013020-n000004-0000-5fe94414fa9ed50f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5fe94414fa9ed50fc88b1539b477fb96e268c52d976cbab2193355942e43cec2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013024-n000004.json b/manifests/batches/oproofs/s00002-r00013024-n000004.json
index f8b945a42f5ec432f6eb4067047ee977f052d05c..824b9ca85cefaa99905dd9cdd5cb5388a91d27e6 100644
--- a/manifests/batches/oproofs/s00002-r00013024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013024-n000004",
   "batch_fingerprint": "ca3f8581bb97e85604b6278c7287b962bfc84c07bdef3ac67757423509d9e6a9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13024",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13025",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13026",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13027"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013024.lean\",\"392034482264a72db0e6fef6ff14f86ff40cfb3ea6af60ca7513fdc03fa06ae7\",0,\"lean_workbook_plus_33106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013025.lean\",\"2f98a79bcd23613b4c370cba156d27ca4cb79084236464a563d8b08a4bf18ce7\",0,\"lean_workbook_plus_26945\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013026.lean\",\"0ea16c6ef80fef7eea045ab12a844388c966df76b501f6d8efd3164631333ff1\",0,\"lean_workbook_38996\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013027.lean\",\"bc29f132945ab04ea6bd95e70e6c723edf0d90104fc36321ecb20c86a1b921f1\",0,\"lean_workbook_plus_77662\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013024-n000004-0000-ddb6a87556009447.parquet",
-      "sha256": "ddb6a875560094474d855b445960684cf1d5c9d95cb8851f65c0c882a3c60b8f",
       "bytes": 88933,
+      "path": "data/train/p66/oproofs-s00002-r00013024-n000004-0000-ddb6a87556009447.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "ddb6a875560094474d855b445960684cf1d5c9d95cb8851f65c0c882a3c60b8f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013024-n000004-0000-6ddd45d0aa0af198.parquet",
-      "sha256": "6ddd45d0aa0af19866c52e45c8670c639d2e30524662d18966195d9b1cdd9e7e",
       "bytes": 332653,
+      "path": "data/dev/p66/oproofs-s00002-r00013024-n000004-0000-6ddd45d0aa0af198.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "6ddd45d0aa0af19866c52e45c8670c639d2e30524662d18966195d9b1cdd9e7e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013024-n000004-0000-1f1e20faefe8f3db.parquet",
-      "sha256": "1f1e20faefe8f3dbb0d0de95057ca92b5ccea982795b4be64e3418daf7bf02b1",
       "bytes": 96100,
+      "path": "data/internal_test/p66/oproofs-s00002-r00013024-n000004-0000-1f1e20faefe8f3db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
+      "sha256": "1f1e20faefe8f3dbb0d0de95057ca92b5ccea982795b4be64e3418daf7bf02b1"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13024",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13025",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13026",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13027"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013024.lean\",\"392034482264a72db0e6fef6ff14f86ff40cfb3ea6af60ca7513fdc03fa06ae7\",0,\"lean_workbook_plus_33106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013025.lean\",\"2f98a79bcd23613b4c370cba156d27ca4cb79084236464a563d8b08a4bf18ce7\",0,\"lean_workbook_plus_26945\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013026.lean\",\"0ea16c6ef80fef7eea045ab12a844388c966df76b501f6d8efd3164631333ff1\",0,\"lean_workbook_38996\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013027.lean\",\"bc29f132945ab04ea6bd95e70e6c723edf0d90104fc36321ecb20c86a1b921f1\",0,\"lean_workbook_plus_77662\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013028-n000004.json b/manifests/batches/oproofs/s00002-r00013028-n000004.json
index d9c04a7883ec71974aff58b7f297b0031386dbe2..7f6353255b595ee568dea09b58ea7b1e7d062ccc 100644
--- a/manifests/batches/oproofs/s00002-r00013028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013028-n000004",
   "batch_fingerprint": "9e8e8f009d9490b77e5f7bd0397911568c2064902ccb864e6e95da8bcc684338",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013028-n000004-0000-0f641fa542869e94.parquet",
-      "sha256": "0f641fa542869e945c7fd2709a551681d32c15e45f7ffb98d9a4c85a9f961c27",
-      "bytes": 87244,
-      "rows": 13,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13029",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013029.lean\",\"2892882198ae5ccecb973e667d7decf4fbca88433086621213292ff8dcb82857\",0,\"lean_workbook_plus_22127\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013030.lean\",\"08b91b0112612576c01d5d94a1ddc30135ef2ef019c7242d9997067f22fb69c2\",0,\"lean_workbook_plus_37792\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013031.lean\",\"61f9c90ddf9b44ea61b903dc2f6ee48953c94c3061493c8e67b0595b64f63772\",0,\"lean_workbook_plus_21340\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 87244,
+      "path": "data/train/p54/oproofs-s00002-r00013028-n000004-0000-0f641fa542869e94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0f641fa542869e945c7fd2709a551681d32c15e45f7ffb98d9a4c85a9f961c27"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013032-n000004.json b/manifests/batches/oproofs/s00002-r00013032-n000004.json
index f63ddf958610acd697c8cb6f9cddc957dfceb412..1747b5efe92c8e5cdce79fe6843a9bbcda9118e1 100644
--- a/manifests/batches/oproofs/s00002-r00013032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013032-n000004",
   "batch_fingerprint": "12d09f122edf218add363e5e94db0843509c6f099fa93423d2da9de855cd1a91",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013032-n000004-0000-4a9c868e42a03e0b.parquet",
-      "sha256": "4a9c868e42a03e0bad047db4f42912c6243cbf80f454efc393c3437e9c30ef1b",
-      "bytes": 238390,
-      "rows": 22,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13032",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13033",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013033.lean\",\"fb193e4adb9d32b277d37a9b237ae04b8c88d9703bdd9ecbff4070326f651c52\",0,\"lean_workbook_plus_76505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013034.lean\",\"2ca526b67ae9243560027cbf0217913358ab0530e00399d3fabba3929b4878db\",0,\"lean_workbook_plus_30323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013035.lean\",\"c01dc0ca691e22f28041ba2032ebc0c4fba1db7f544bc28f8737efc6fba4007f\",0,\"lean_workbook_25817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 238390,
+      "path": "data/train/p2a/oproofs-s00002-r00013032-n000004-0000-4a9c868e42a03e0b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "4a9c868e42a03e0bad047db4f42912c6243cbf80f454efc393c3437e9c30ef1b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013036-n000004.json b/manifests/batches/oproofs/s00002-r00013036-n000004.json
index 8ed4c72e71d7e2b8315f8741ebf299a4510c8fe7..ec5b954e58f7dec3f8effa1cf57b18eb79109b2f 100644
--- a/manifests/batches/oproofs/s00002-r00013036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013036-n000004",
   "batch_fingerprint": "911d4d7422c821c538da1da91e2de0e0af047a43b896ae1b435237e99fd33cd4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013036-n000004-0000-af1e0e9c3b6b1477.parquet",
-      "sha256": "af1e0e9c3b6b14779a6a5cf35f5b57377a5aebe3d12a714462a645f79089d8d8",
-      "bytes": 643258,
-      "rows": 20,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013036-n000004-0000-c532d39b29720193.parquet",
-      "sha256": "c532d39b297201935a027a57edc8ab20f6f72d2ba57cec9ab01e3bd649898671",
-      "bytes": 61725,
-      "rows": 5,
-      "revision": "0fc7ece207033c6767c54f02b184a0ae3483bdf2"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13037",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013037.lean\",\"3e0b2e95fb06a2e017c82e06117af7fba7c168cafd27f9aecf6a77cd10c184d5\",0,\"squares_trapezoid_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013038.lean\",\"da13d5bc60a09dafb9b09fed210b2313f39a0035f394a277b5276dc8a55bcbab\",0,\"lean_workbook_plus_2784\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013039.lean\",\"01211d7a3a723b8461e3bf4848e97faf9a516b79ee860f6d1a5600aed003f63e\",0,\"lean_workbook_47449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 643258,
+      "path": "data/train/p92/oproofs-s00002-r00013036-n000004-0000-af1e0e9c3b6b1477.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "af1e0e9c3b6b14779a6a5cf35f5b57377a5aebe3d12a714462a645f79089d8d8"
+    },
+    {
+      "bytes": 61725,
+      "path": "data/internal_test/p92/oproofs-s00002-r00013036-n000004-0000-c532d39b29720193.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c532d39b297201935a027a57edc8ab20f6f72d2ba57cec9ab01e3bd649898671"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013040-n000004.json b/manifests/batches/oproofs/s00002-r00013040-n000004.json
index 452a2197eb907dff18ab4df3593934dd238c31a7..5f9642c53eacda006116be714c11498fff780269 100644
--- a/manifests/batches/oproofs/s00002-r00013040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013040-n000004",
   "batch_fingerprint": "cbc5693d6501bd169b0d75316ac62dedb9fe9bcaaddbf7840d4b3371985004bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013040-n000004-0000-1d78141b771178cc.parquet",
-      "sha256": "1d78141b771178cc89175a25d259455c37dad96c16c57d03fc727d7e0500c78b",
-      "bytes": 76732,
-      "rows": 7,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013040-n000004-0000-e36019d25b0b3721.parquet",
-      "sha256": "e36019d25b0b372152c0d1686c90422f93078032248e732acbb89f4daba8aee2",
-      "bytes": 65467,
-      "rows": 6,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13041",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013041.lean\",\"754f85698362ff20876415284df9740379e2bd3d7ae0bd53d637466b73f8b533\",0,\"lean_workbook_15799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013042.lean\",\"0b14d430e96f667b465f89c919eef62247c3f6f58f1b674b69013659ffb2e01b\",0,\"lean_workbook_plus_53312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013043.lean\",\"917afc56c32e7615fdfb545c36987e7fa9694731e1e87018e4e9c13265aa8e81\",0,\"lean_workbook_21551\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76732,
+      "path": "data/train/p3f/oproofs-s00002-r00013040-n000004-0000-1d78141b771178cc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "1d78141b771178cc89175a25d259455c37dad96c16c57d03fc727d7e0500c78b"
+    },
+    {
+      "bytes": 65467,
+      "path": "data/internal_test/p3f/oproofs-s00002-r00013040-n000004-0000-e36019d25b0b3721.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "e36019d25b0b372152c0d1686c90422f93078032248e732acbb89f4daba8aee2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013044-n000004.json b/manifests/batches/oproofs/s00002-r00013044-n000004.json
index 9b35124e3855214096f3eb56da2fef8472d3efb2..47e4725e96112f9fbe99069d73616c7658cf20b6 100644
--- a/manifests/batches/oproofs/s00002-r00013044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013044-n000004",
   "batch_fingerprint": "27ab25c47b82205289944a554f5f038a02569608bff2a350a4c8bd86678c2850",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013044-n000004-0000-1523f33147f8aadf.parquet",
-      "sha256": "1523f33147f8aadf6175bee5b1d33c5732bf15b286a2d92c272f0b491b9199f3",
-      "bytes": 113737,
-      "rows": 11,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13045",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013045.lean\",\"0c67e95af52ab588421f2072a3c220dd4843d9c635c4289ed44f8a9dcb0a4a70\",0,\"lean_workbook_plus_69036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013046.lean\",\"606f8563f30a3a1c79dcb72c0f20db10708399f92b55f571125d55e9c7f903cf\",0,\"lean_workbook_plus_17872\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013047.lean\",\"f6f3c43867b37190be4e050082412e94e614a3f9095227de82c21843d01aec68\",0,\"lean_workbook_plus_61580\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113737,
+      "path": "data/train/pfe/oproofs-s00002-r00013044-n000004-0000-1523f33147f8aadf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "1523f33147f8aadf6175bee5b1d33c5732bf15b286a2d92c272f0b491b9199f3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013048-n000004.json b/manifests/batches/oproofs/s00002-r00013048-n000004.json
index f42d725c70a15cc662c9954a9018c204ce937117..2bf277d8fdb7203ed58fbbb861edae97a81f6542 100644
--- a/manifests/batches/oproofs/s00002-r00013048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013048-n000004",
   "batch_fingerprint": "81cf0606931ac28aef1292633393a0d877490ada9ac7db46bd7f2b9f67bfbcd4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013048-n000004-0000-a65c37aad9752322.parquet",
-      "sha256": "a65c37aad9752322140afa07266423b321ad1acddcdd85ccac30cd878c6a0054",
-      "bytes": 208002,
-      "rows": 17,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013048-n000004-0000-bfff6db57fb7b717.parquet",
-      "sha256": "bfff6db57fb7b7171deec33fb34665be8088c4b0885ba914a55eef499ee8d04e",
-      "bytes": 160083,
-      "rows": 5,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013049.lean\",\"42e8c3025eb07ab8c29d7aab3f51014af9325471debb8ef748b531179953da00\",0,\"lean_workbook_plus_43121\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013050.lean\",\"561476ef25c0dfd817d96ec0bc770c4763be005c31ee0303710652a427cffdbb\",0,\"lean_workbook_plus_16220\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013051.lean\",\"7f6490e8b057df1f1baabe7fdcfaa97cfc583f3305fc3cae9e1de1ecbac12284\",0,\"lean_workbook_29635\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208002,
+      "path": "data/train/pfb/oproofs-s00002-r00013048-n000004-0000-a65c37aad9752322.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a65c37aad9752322140afa07266423b321ad1acddcdd85ccac30cd878c6a0054"
+    },
+    {
+      "bytes": 160083,
+      "path": "data/internal_test/pfb/oproofs-s00002-r00013048-n000004-0000-bfff6db57fb7b717.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "bfff6db57fb7b7171deec33fb34665be8088c4b0885ba914a55eef499ee8d04e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013052-n000004.json b/manifests/batches/oproofs/s00002-r00013052-n000004.json
index 5a238d2dca78a8a84290265307cffaaee18ee49c..36cc2dba1434e2f3f3993a6c52cda553c186da41 100644
--- a/manifests/batches/oproofs/s00002-r00013052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013052-n000004",
   "batch_fingerprint": "5ae7bc9cd01b1e9d00b233e2d69439649bb9b562e756737bc2392a33aebe90d0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013052-n000004-0000-f1b6e52850908100.parquet",
-      "sha256": "f1b6e52850908100fa8a8f7cb9db24342a1c463353ef4e02fe5923b92ba31c24",
-      "bytes": 425182,
-      "rows": 23,
-      "revision": "7439115fd9a6e98b7c1726903f81114d5bae5032"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13052",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13053",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013053.lean\",\"4508a46cb4e775039ce40ff92f1ae85d66c5bb291cca33a5de9268652f82964b\",0,\"lean_workbook_plus_4657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013054.lean\",\"df758aecd75baf21e797e41387fb5a5d639d87b626a4672587018e9011709a22\",0,\"lean_workbook_plus_7733\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013055.lean\",\"80efc28883597c0f0617629dd2186891f1ef1c8a6e4b2a30bb6172f1237ac481\",0,\"lean_workbook_plus_59172\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 425182,
+      "path": "data/train/pc6/oproofs-s00002-r00013052-n000004-0000-f1b6e52850908100.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f1b6e52850908100fa8a8f7cb9db24342a1c463353ef4e02fe5923b92ba31c24"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013056-n000004.json b/manifests/batches/oproofs/s00002-r00013056-n000004.json
index 02c639bb557f700afca98e42563d4c2fe0917e77..3b1383011bbd82077df6bfaa5f93812678305d1a 100644
--- a/manifests/batches/oproofs/s00002-r00013056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013056-n000004",
   "batch_fingerprint": "e68efbde39583084cebc18471a668836e31f89124cae132a31be6bf1b634c6a0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013056-n000004-0000-8d8765646946c21c.parquet",
-      "sha256": "8d8765646946c21c4eaedd7aa31fbed398449f1dfbdb99e620f16c92a3cd8d01",
-      "bytes": 331478,
-      "rows": 16,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013057.lean\",\"841ee0affebef78a40008e40f1ed5598f3d6b76f7b9e8db3e1eb6c964d746a75\",0,\"lean_workbook_plus_77562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013058.lean\",\"cd05d6fcb4abfdc6f7569390efdcea87ebc5ee4ece6b2cfd657eda18919004b8\",0,\"lean_workbook_plus_73815\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013059.lean\",\"53bec329c51102c96e285e8dc369b351461dc6a8ffa86b7819496e9df3724442\",0,\"ellipse_point_coordinates\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331478,
+      "path": "data/train/p54/oproofs-s00002-r00013056-n000004-0000-8d8765646946c21c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8d8765646946c21c4eaedd7aa31fbed398449f1dfbdb99e620f16c92a3cd8d01"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013060-n000004.json b/manifests/batches/oproofs/s00002-r00013060-n000004.json
index fb5003ca96045c886979498d1b6e6f2d046ab942..8d6900020c05414b1b3fcb7d6e92b8abde415d08 100644
--- a/manifests/batches/oproofs/s00002-r00013060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013060-n000004",
   "batch_fingerprint": "646bff5d8b3c9281932430fd64a19c8a08baeebb560c29f79926ab5513531bad",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013060-n000004-0000-f93081e51c87c705.parquet",
-      "sha256": "f93081e51c87c7059f0d6fa7556f6d0138ea983710ced9c03509190b7e87cddb",
-      "bytes": 193454,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013060-n000004-0000-539ea3af2e6fb022.parquet",
-      "sha256": "539ea3af2e6fb022f09518ab9923e418a592ced38b59e67133d1f98f7a75d97c",
-      "bytes": 58046,
-      "rows": 2,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013061.lean\",\"8ea86819cdc01e8a71d77b001ba2953b47345bc29fd979039bb32b5e11f2dbe5\",0,\"lean_workbook_plus_72004\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013062.lean\",\"138efcfcd265f1d58e17625030840f8cd126ba05c49d7bdb34de12400c4a0243\",0,\"lean_workbook_40801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013063.lean\",\"fc4a5f36012e6df534b1ea16edf77794e9e12ce99eb0340993b79837230f70f3\",0,\"lean_workbook_plus_28319\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193454,
+      "path": "data/train/p8a/oproofs-s00002-r00013060-n000004-0000-f93081e51c87c705.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "f93081e51c87c7059f0d6fa7556f6d0138ea983710ced9c03509190b7e87cddb"
+    },
+    {
+      "bytes": 58046,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00013060-n000004-0000-539ea3af2e6fb022.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "539ea3af2e6fb022f09518ab9923e418a592ced38b59e67133d1f98f7a75d97c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013064-n000004.json b/manifests/batches/oproofs/s00002-r00013064-n000004.json
index 6ba99bbb4238586c12e84038ca6b9d0aa127f502..e9bd43347a6f41f990eb8c7ff6f14120eba0761e 100644
--- a/manifests/batches/oproofs/s00002-r00013064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013064-n000004",
   "batch_fingerprint": "832c81c0483687956c96ffe2a1e0fc125bb8748e5560fc767013152b9bef1818",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013064-n000004-0000-b44b6998b4cc0dec.parquet",
-      "sha256": "b44b6998b4cc0dec2977c88e0b25f6f36e3b4b408ddc3718b631487964e2c3b2",
-      "bytes": 106944,
-      "rows": 9,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013064-n000004-0000-715793fd26ae398c.parquet",
-      "sha256": "715793fd26ae398cef51d23b4987aa30c226aaf35f3c56e42417abfb7de39b17",
-      "bytes": 42348,
-      "rows": 2,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013065.lean\",\"bc0fdde34ffc39a65d992e25dbb910a682fba2e441e355f6f75639caceff6ece\",0,\"lean_workbook_plus_53361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013066.lean\",\"a20b26aa4aca7d33abe7effa758bad584989b84457fb6322769334de74c07300\",0,\"lean_workbook_plus_79808\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013067.lean\",\"3c31b019c176f166090103532a65c5094a84343355dc594c0666c58eddd5cbbc\",0,\"lean_workbook_plus_69634\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106944,
+      "path": "data/train/p20/oproofs-s00002-r00013064-n000004-0000-b44b6998b4cc0dec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b44b6998b4cc0dec2977c88e0b25f6f36e3b4b408ddc3718b631487964e2c3b2"
+    },
+    {
+      "bytes": 42348,
+      "path": "data/dev/p20/oproofs-s00002-r00013064-n000004-0000-715793fd26ae398c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "715793fd26ae398cef51d23b4987aa30c226aaf35f3c56e42417abfb7de39b17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013068-n000004.json b/manifests/batches/oproofs/s00002-r00013068-n000004.json
index 6a2a7806fa956c35c21dfeb64b07ae6ffc830951..cf9301d55665dfd26f4398b001854a7558b20ff1 100644
--- a/manifests/batches/oproofs/s00002-r00013068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013068-n000004",
   "batch_fingerprint": "86fb377aec95fa6c9fcd70dd60b5930d9ce1485c0c6f25b07f4f9e7f6a26abcc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013068-n000004-0000-d2907a7885a77e7b.parquet",
-      "sha256": "d2907a7885a77e7b12db4ca3ec1c90c10cdaf0465149013c4eedaf6460015028",
-      "bytes": 665669,
-      "rows": 25,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13069",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013069.lean\",\"6452cb2fda09cc1e064d742f2207248fb9f3cb37e99c762d6eab70201ca583a3\",0,\"complex_modulus_equation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013070.lean\",\"813322e5555f627e24bdfd28ef12e5a11067bdb00d46a5c0818c2322ac54c46f\",0,\"lean_workbook_plus_13972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013071.lean\",\"da9b97dfe89682b9914367ed37d399a3606ae5fd669a970508c255f66ba4dabc\",0,\"lean_workbook_21759\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 665669,
+      "path": "data/train/p85/oproofs-s00002-r00013068-n000004-0000-d2907a7885a77e7b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "d2907a7885a77e7b12db4ca3ec1c90c10cdaf0465149013c4eedaf6460015028"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013072-n000004.json b/manifests/batches/oproofs/s00002-r00013072-n000004.json
index c0441a8def8d6487c6c1613f54257e5924983aba..e8c4f850a2c977edcde080f0c01d9da1668775ed 100644
--- a/manifests/batches/oproofs/s00002-r00013072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013072-n000004",
   "batch_fingerprint": "1d6eecb3aca02150d787b61ca0fd4e74c9a3c533bc2a3b39682e3d4e86ee8946",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013072-n000004-0000-b27879ad2655c41c.parquet",
-      "sha256": "b27879ad2655c41c41f7aadb2c15b4c29a4b19510111758e422df2efaffbcff4",
-      "bytes": 114584,
-      "rows": 14,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13073",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013073.lean\",\"fd2db733942a7893eb3c1af6e6b1d3b2c51266eeaabe787ca55b9f0b8040ce23\",0,\"lean_workbook_plus_28275\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013074.lean\",\"f99fa09a3d1e6a70083f91f0971cace7c427a33f50209d6afb7fd9be7e7f097b\",0,\"fraction_simplification\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013075.lean\",\"00201f90748d1ff144914c7732da0e34ca7b79bf0518005fee91eb6ecdd4a8b0\",0,\"lean_workbook_plus_74019\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 114584,
+      "path": "data/train/p9b/oproofs-s00002-r00013072-n000004-0000-b27879ad2655c41c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b27879ad2655c41c41f7aadb2c15b4c29a4b19510111758e422df2efaffbcff4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013076-n000004.json b/manifests/batches/oproofs/s00002-r00013076-n000004.json
index a8aaffa863e0150755cbde0652731f0c287683ee..7799c2834549a29af27646a750a24e22a0d18848 100644
--- a/manifests/batches/oproofs/s00002-r00013076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013076-n000004",
   "batch_fingerprint": "62a1dd5897c0b1ddea4a6283dd1a90e63ce651181a1438e7253e974432761e52",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013076-n000004-0000-818806c835de488b.parquet",
-      "sha256": "818806c835de488b697ae3e46c9b77f39c518075ec3a78793002b4edc234edc2",
-      "bytes": 277361,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013076-n000004-0000-2b91ef3574796209.parquet",
-      "sha256": "2b91ef357479620984afa752802a4dcca223cd7010da8ba9dcdf9b2023fbcbb7",
-      "bytes": 81672,
-      "rows": 3,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13077",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013077.lean\",\"0e3b05ca35e08822b351dbc63b2bd041233339b6594c02a4127a95d855c826e3\",0,\"enclosed_area_equals_seven_sixths\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013078.lean\",\"d58c0d28e308937e93430c31be4be3376a35da185cb35484978236e298ee8092\",0,\"function_properties\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013079.lean\",\"059f76d6bf8c82064fb8b9e5fa9ba2db2b3f5a040a28faed6e9a80366baeea17\",0,\"lean_workbook_plus_63491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 277361,
+      "path": "data/train/p7f/oproofs-s00002-r00013076-n000004-0000-818806c835de488b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "818806c835de488b697ae3e46c9b77f39c518075ec3a78793002b4edc234edc2"
+    },
+    {
+      "bytes": 81672,
+      "path": "data/dev/p7f/oproofs-s00002-r00013076-n000004-0000-2b91ef3574796209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2b91ef357479620984afa752802a4dcca223cd7010da8ba9dcdf9b2023fbcbb7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013080-n000004.json b/manifests/batches/oproofs/s00002-r00013080-n000004.json
index 1b5d5722d06671440f6e499939017b8ad62e80da..3e6f03ac02e6165cb5a931a6be42445c36f1895c 100644
--- a/manifests/batches/oproofs/s00002-r00013080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013080-n000004",
   "batch_fingerprint": "593093eb5c16d0b380a9b8a15ad06e29f3ab38fe805ad6845cf670dcb9da15d2",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013080-n000004-0000-35a4e9e7d8ec2b3f.parquet",
-      "sha256": "35a4e9e7d8ec2b3f2ea4a314c29970e31c8e65efedd5dc0bc4fb2fd650761f10",
-      "bytes": 188335,
-      "rows": 12,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013080-n000004-0000-79a145e24f373093.parquet",
-      "sha256": "79a145e24f3730936688db89964e47c090513b7f6adc204a5e9b7a59e4ed08e4",
-      "bytes": 33937,
-      "rows": 2,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13082",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013080.lean\",\"feb4bad4ec26a97201d91aaf08302d7cbbdfa7da2b5b2e039a72812690cd5d92\",0,\"lean_workbook_37787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013082.lean\",\"dc5fe3f0a4e817327166fe9603f528b538b3d1c435e8fc1fdcf806c8d2b3d5e5\",0,\"lean_workbook_plus_59663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013083.lean\",\"1fe0db519027ef474697c367b57d19a670fe500f3cbe50493fbdb2689bb15b45\",0,\"lean_workbook_23436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 188335,
+      "path": "data/train/p13/oproofs-s00002-r00013080-n000004-0000-35a4e9e7d8ec2b3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "35a4e9e7d8ec2b3f2ea4a314c29970e31c8e65efedd5dc0bc4fb2fd650761f10"
+    },
+    {
+      "bytes": 33937,
+      "path": "data/internal_test/p13/oproofs-s00002-r00013080-n000004-0000-79a145e24f373093.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "79a145e24f3730936688db89964e47c090513b7f6adc204a5e9b7a59e4ed08e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013084-n000004.json b/manifests/batches/oproofs/s00002-r00013084-n000004.json
index 40c0ba81bd4f6aa9c50132a6654ff93b424c21dc..168d8ecd3bd7c77e07046c8fcb15d76cd947d5dd 100644
--- a/manifests/batches/oproofs/s00002-r00013084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013084-n000004",
   "batch_fingerprint": "c8ee7e6414c6df417ab98fa4b14d502e2e7dc52b4df67124fb5d3f7ec0b77700",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013084-n000004-0000-57ff403146aae557.parquet",
-      "sha256": "57ff403146aae557163d560aeb88e63bef631ec3ceeff19734fab7c142090fc2",
-      "bytes": 605216,
-      "rows": 30,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13084",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13085",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013085.lean\",\"aea9e1965912432a857c890e1ed9c977ccbc52b46917fa5f8e187e99c3c61fa8\",0,\"lean_workbook_plus_45945\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013086.lean\",\"94908d13e6218815342ad95a1be399fbac2b993e146cb95952f937d506911ab4\",0,\"lean_workbook_plus_6482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013087.lean\",\"2c9983d3dcf805f1ab18ca7ba00f764ab83e7f56fd222143990670791fa3b4ea\",0,\"lean_workbook_plus_26410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 605216,
+      "path": "data/train/pf5/oproofs-s00002-r00013084-n000004-0000-57ff403146aae557.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "57ff403146aae557163d560aeb88e63bef631ec3ceeff19734fab7c142090fc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013088-n000004.json b/manifests/batches/oproofs/s00002-r00013088-n000004.json
index db9a29ac14b13fcbb827ce4a5ee74b431c975876..2c20bb2d51ac08607c235757f4e72cd81c1a7d22 100644
--- a/manifests/batches/oproofs/s00002-r00013088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013088-n000004",
   "batch_fingerprint": "deb14b4da8c84c65ebe1bd71877061883fcbc152ce88d93b4d3622b221b4aa3c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013088-n000004-0000-a0f90110caeb0d30.parquet",
-      "sha256": "a0f90110caeb0d309ffeb8116660fb6e64598a1e5c50953b5703e2f052fdf12c",
-      "bytes": 228567,
-      "rows": 11,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013088-n000004-0000-45122baf70051072.parquet",
-      "sha256": "45122baf70051072387460884ad3c6fc43079a85e368e76bea09c64eef5ab6c2",
-      "bytes": 45416,
-      "rows": 5,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13089",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013089.lean\",\"8699f314359b03d9d6c2ad75b3f3a237045bf088f046c1a3b31e4cf3b75ddb28\",0,\"lean_workbook_plus_76071\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013090.lean\",\"244ca074945c931758c8323489b622a61a5cae9e1c3b5edcbd465080b674b173\",0,\"lean_workbook_plus_41746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013091.lean\",\"0df85ca0b37dedf5e0ac345e24eab384a27b077976f477e58ea198904215f8d5\",0,\"lean_workbook_plus_25436\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 228567,
+      "path": "data/train/p2a/oproofs-s00002-r00013088-n000004-0000-a0f90110caeb0d30.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a0f90110caeb0d309ffeb8116660fb6e64598a1e5c50953b5703e2f052fdf12c"
+    },
+    {
+      "bytes": 45416,
+      "path": "data/internal_test/p2a/oproofs-s00002-r00013088-n000004-0000-45122baf70051072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "45122baf70051072387460884ad3c6fc43079a85e368e76bea09c64eef5ab6c2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013092-n000004.json b/manifests/batches/oproofs/s00002-r00013092-n000004.json
index eb88e04f007ff0a74a9dcd7bc2db95b8ed035a7f..065c1ec261ff1972dcbdf81a8cee96241b9838b5 100644
--- a/manifests/batches/oproofs/s00002-r00013092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013092-n000004",
   "batch_fingerprint": "f69d08e86204be9945dffd0dd044c4aa3ab875cc05272f0242223326d609877a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013092-n000004-0000-d870d8c67bde9d8c.parquet",
-      "sha256": "d870d8c67bde9d8c14d4eaafe25b3d80bcae1335e490f1453bb3c98051f1a7cf",
-      "bytes": 88512,
-      "rows": 8,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013092-n000004-0000-f75f33f1c7a6051b.parquet",
-      "sha256": "f75f33f1c7a6051b1e435b63880fdb6545823d00ad073113832f869ee66e3750",
-      "bytes": 32266,
-      "rows": 2,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013093.lean\",\"ffd2e419ca58ba3981947608cd42157c90f06faeb3429538feee6253dd8137ae\",0,\"lean_workbook_plus_30776\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013094.lean\",\"a9785c7e616c6f6e267b968a6b01be6d7ac803f7f0f02f16b1a27e3c7a3534ad\",0,\"lean_workbook_plus_45289\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013095.lean\",\"c6072675571c6c4d4e672db4b8a711e6b50080d29811adac4cd1408a4a43cbce\",0,\"lean_workbook_plus_69866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88512,
+      "path": "data/train/pd5/oproofs-s00002-r00013092-n000004-0000-d870d8c67bde9d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "d870d8c67bde9d8c14d4eaafe25b3d80bcae1335e490f1453bb3c98051f1a7cf"
+    },
+    {
+      "bytes": 32266,
+      "path": "data/dev/pd5/oproofs-s00002-r00013092-n000004-0000-f75f33f1c7a6051b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "f75f33f1c7a6051b1e435b63880fdb6545823d00ad073113832f869ee66e3750"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013096-n000004.json b/manifests/batches/oproofs/s00002-r00013096-n000004.json
index 6fc0a91167509cd6dce136db498a67491d6b2c16..f2ae5a8fd7ef63c183938b14bde10b2a547d7079 100644
--- a/manifests/batches/oproofs/s00002-r00013096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013096-n000004",
   "batch_fingerprint": "4d71a9998cc69902975000ddf59f161fbeed7787e2c234222b1054ec16c6295b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013096-n000004-0000-dc4c43002c60c97b.parquet",
-      "sha256": "dc4c43002c60c97bf5304fa2a4a980f1fa2931f14ceed85238d3dc27edbb5427",
-      "bytes": 339033,
-      "rows": 9,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013096-n000004-0000-17ed93f4cf4072e5.parquet",
-      "sha256": "17ed93f4cf4072e5d0aedddf553e7fc5f514b7c739a4810b377df80f3fb9619f",
-      "bytes": 68423,
-      "rows": 4,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13097",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013097.lean\",\"4a5eba37c4467e72dd9e3c0ead5c5cc803779fe04f47b2beefa29be4eef788b5\",0,\"lean_workbook_plus_22667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013098.lean\",\"006046c3d522e425163f9cfb1b62a171547c6c2556d43200239a7f906f7b0cc4\",0,\"lean_workbook_10335\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013099.lean\",\"1d3567a2d163189fe1beb1fd106ae1423f9f0acd5e2f887a07e1f500c4420e34\",0,\"lean_workbook_plus_75899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 339033,
+      "path": "data/train/pad/oproofs-s00002-r00013096-n000004-0000-dc4c43002c60c97b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dc4c43002c60c97bf5304fa2a4a980f1fa2931f14ceed85238d3dc27edbb5427"
+    },
+    {
+      "bytes": 68423,
+      "path": "data/internal_test/pad/oproofs-s00002-r00013096-n000004-0000-17ed93f4cf4072e5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "17ed93f4cf4072e5d0aedddf553e7fc5f514b7c739a4810b377df80f3fb9619f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013100-n000004.json b/manifests/batches/oproofs/s00002-r00013100-n000004.json
index 342b94e47c92e04680ae68a183244170282f898e..7d0881f1b816885ff66f4f3b3020422e8056a002 100644
--- a/manifests/batches/oproofs/s00002-r00013100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013100-n000004",
   "batch_fingerprint": "56636da8aa5e3db9f7e1d10f19c21a4d93255857fc714e66c9bc255840b29d79",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013100-n000004-0000-6a64e6d8ea0df09e.parquet",
-      "sha256": "6a64e6d8ea0df09eb548698ec75f7ffd5e88c95cc84bde52f675cdeff51f9967",
-      "bytes": 488980,
-      "rows": 26,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13101",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013101.lean\",\"3408a36f14b41722d39c9b6893070bc7629c4c17f711f82f2211228c113369a5\",0,\"lean_workbook_plus_29860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013102.lean\",\"2bcbc53545e33e6af4ebbc106473e9c8d0cb671f6d091a426b1f40181910883b\",0,\"lean_workbook_plus_24764\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013103.lean\",\"4a7cc124c744a12a04f32dc3f9ed59d0b03b478332c374323523a66aabb9989b\",0,\"lean_workbook_14875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488980,
+      "path": "data/train/pe5/oproofs-s00002-r00013100-n000004-0000-6a64e6d8ea0df09e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "6a64e6d8ea0df09eb548698ec75f7ffd5e88c95cc84bde52f675cdeff51f9967"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013104-n000004.json b/manifests/batches/oproofs/s00002-r00013104-n000004.json
index a365a010e509903664ef23dcf4a3b125431630e2..71cb2e0cb6ed1eae08e49388286f8ffe63a9addc 100644
--- a/manifests/batches/oproofs/s00002-r00013104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013104-n000004",
   "batch_fingerprint": "81535a296f3532521aee0d551b15615f9d62d00c86c58c61466cb76e67a828fe",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13104",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13105",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13106",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13107"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013104.lean\",\"b9ea4a573137cb273fbe4914760292fb7c0ececec297681a8b8e33c310ed93b1\",0,\"lean_workbook_plus_33106\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013105.lean\",\"33741889dceaf2f41e2bcf6aa42c37cd1f2d2d91c3e302d807ff318ca508d3f8\",0,\"lean_workbook_38996\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013106.lean\",\"fa690cff0ede21947e3d5e1853a6e54b1ca5ade4778c8cc4e6ee72884dabc56a\",0,\"lean_workbook_plus_77662\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013107.lean\",\"9ec6d12b780d0908817c66ae285e0d46a5bded0402d19a53b4011bf5d3c4d8dc\",0,\"trapezoid_area\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013104-n000004-0000-c1f81a26e361af9c.parquet",
-      "sha256": "c1f81a26e361af9c9ba3c69819ffdfbaf8dfe080f7530a45aa89e4519252859d",
       "bytes": 92113,
+      "path": "data/train/p1b/oproofs-s00002-r00013104-n000004-0000-c1f81a26e361af9c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
+      "sha256": "c1f81a26e361af9c9ba3c69819ffdfbaf8dfe080f7530a45aa89e4519252859d"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013104-n000004-0000-3109afd6d2647d03.parquet",
-      "sha256": "3109afd6d2647d032297f83e3d69ba20f0fe528efe11d62267f6370c619ecdc1",
       "bytes": 91098,
+      "path": "data/dev/p1b/oproofs-s00002-r00013104-n000004-0000-3109afd6d2647d03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
+      "sha256": "3109afd6d2647d032297f83e3d69ba20f0fe528efe11d62267f6370c619ecdc1"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013104-n000004-0000-cd0be6d2f90086f4.parquet",
-      "sha256": "cd0be6d2f90086f426f0538912e7d183446b449de374253a74734f1aae43ea37",
       "bytes": 128001,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00013104-n000004-0000-cd0be6d2f90086f4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
+      "sha256": "cd0be6d2f90086f426f0538912e7d183446b449de374253a74734f1aae43ea37"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13104",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13105",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13106",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13107"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013104.lean\",\"b9ea4a573137cb273fbe4914760292fb7c0ececec297681a8b8e33c310ed93b1\",0,\"lean_workbook_plus_33106\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013105.lean\",\"33741889dceaf2f41e2bcf6aa42c37cd1f2d2d91c3e302d807ff318ca508d3f8\",0,\"lean_workbook_38996\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013106.lean\",\"fa690cff0ede21947e3d5e1853a6e54b1ca5ade4778c8cc4e6ee72884dabc56a\",0,\"lean_workbook_plus_77662\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013107.lean\",\"9ec6d12b780d0908817c66ae285e0d46a5bded0402d19a53b4011bf5d3c4d8dc\",0,\"trapezoid_area\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013108-n000004.json b/manifests/batches/oproofs/s00002-r00013108-n000004.json
index 83f5c4814bd1dbd7ddc8986e83bee4d5de37fa55..76d206175279d73f008a9d23187d3f7efc489bf2 100644
--- a/manifests/batches/oproofs/s00002-r00013108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013108-n000004",
   "batch_fingerprint": "04465cc89e23d98aed82b10f7e8202ff08086c4ad7208b27fb1531c989a7429c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013108-n000004-0000-15314d9c54cdf79a.parquet",
-      "sha256": "15314d9c54cdf79a36e87bd281a88a73f2270d9f9028ffa5b4170cf494a6775a",
-      "bytes": 150567,
-      "rows": 20,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013109.lean\",\"df9e3dcc92a91c0bbaec239dc7bcbf065c7002ca34a34f97cf1a403352a80021\",0,\"lean_workbook_plus_25260\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013110.lean\",\"71e76f7dd1b5fdfd2b07b8069f88314312f611ee9f53d738d72b20d5c3d42f58\",0,\"lean_workbook_plus_76505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013111.lean\",\"5a79959645c4455ca531631ada3865a98e24e5215c284b6eb86968b500a11090\",0,\"lean_workbook_25817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 150567,
+      "path": "data/train/pb8/oproofs-s00002-r00013108-n000004-0000-15314d9c54cdf79a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "15314d9c54cdf79a36e87bd281a88a73f2270d9f9028ffa5b4170cf494a6775a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013112-n000004.json b/manifests/batches/oproofs/s00002-r00013112-n000004.json
index d525411c71a56ae6d0eda2fa28d55d49263a4319..f4c6e1609247659ede91e5dc631292d9ae6ba8e3 100644
--- a/manifests/batches/oproofs/s00002-r00013112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013112-n000004",
   "batch_fingerprint": "cc4e3f9595d7fad7c40db6c54582441c61746cfacb6b510aff18893ad0f7ed08",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013112-n000004-0000-9a9de2916f54e102.parquet",
-      "sha256": "9a9de2916f54e1021ec6531a4f1b97ca3c4dc46380a6010f621e9bb9ec3e3796",
-      "bytes": 79523,
-      "rows": 9,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013112-n000004-0000-89912cb1a997f703.parquet",
-      "sha256": "89912cb1a997f7032e28ae758a74e24307375fa73f33f5350473e80c0f22bac2",
-      "bytes": 136204,
-      "rows": 10,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013113.lean\",\"4468716925e991fe220be91b7863aa7e5c4946e449fc1811f51439e777a04673\",0,\"lean_workbook_plus_67407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013114.lean\",\"ed285d335956c09258767b417230d7a912ff8be76eb0a8ebd9cb0dca1fbdc80e\",0,\"lean_workbook_plus_16830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013115.lean\",\"2eecb9fc9e8ccede18e9f56d43650c178a59d98f34af651ee3bf74c5a8d1916d\",0,\"squares_trapezoid_area\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 79523,
+      "path": "data/train/p65/oproofs-s00002-r00013112-n000004-0000-9a9de2916f54e102.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "9a9de2916f54e1021ec6531a4f1b97ca3c4dc46380a6010f621e9bb9ec3e3796"
+    },
+    {
+      "bytes": 136204,
+      "path": "data/internal_test/p65/oproofs-s00002-r00013112-n000004-0000-89912cb1a997f703.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "89912cb1a997f7032e28ae758a74e24307375fa73f33f5350473e80c0f22bac2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013116-n000004.json b/manifests/batches/oproofs/s00002-r00013116-n000004.json
index ec7fbee5edb62d3955bd806991f80c5d84dfbbdd..bdbf9d0dea624d41e67277a2430bca928a73409c 100644
--- a/manifests/batches/oproofs/s00002-r00013116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013116-n000004",
   "batch_fingerprint": "168a248571bf7d278bd157fac69d9d4917c81199b4f27b39c22f6f903a3a479a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013116-n000004-0000-7fb3dcf7ec3a443a.parquet",
-      "sha256": "7fb3dcf7ec3a443a382a26ac37e130ad15f76569368ff3db6416734e20112971",
-      "bytes": 328953,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13117",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013117.lean\",\"1cb4d84138357411e0e4889edca040e066f070af6ec67a032cda24155b549d83\",0,\"lean_workbook_plus_30323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013118.lean\",\"a13e06bd0ce860abf1eb847792762e5efcb3cb3cc96373ec641403907b8a2faa\",0,\"lean_workbook_plus_11509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013119.lean\",\"5a15379744a907e12f386befb574ad7100b30aee5bbf8cbfd5582594ff8f800f\",0,\"lean_workbook_plus_56710\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 328953,
+      "path": "data/train/p54/oproofs-s00002-r00013116-n000004-0000-7fb3dcf7ec3a443a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7fb3dcf7ec3a443a382a26ac37e130ad15f76569368ff3db6416734e20112971"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013120-n000004.json b/manifests/batches/oproofs/s00002-r00013120-n000004.json
index 8315e98e72108cb51f22fd549a658f1c59e17711..f97a83ba3f85ecc56cd0fcebcd3948607627d9ba 100644
--- a/manifests/batches/oproofs/s00002-r00013120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013120-n000004",
   "batch_fingerprint": "5047f3743f27927049a663d25b028dd225fdfbaedf8318116471af594bbbb223",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013120-n000004-0000-6ef2ef2c3497fbee.parquet",
-      "sha256": "6ef2ef2c3497fbee884f1df1c51afd9c56d645337863c62a6ad7003b7ee71516",
-      "bytes": 61381,
-      "rows": 7,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013120-n000004-0000-28fc4942dcb24472.parquet",
-      "sha256": "28fc4942dcb24472b45571ecc19ef55559d333dd20f7e55a06f2ae06afb09e17",
-      "bytes": 69333,
-      "rows": 7,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13120",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13121",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013121.lean\",\"7e64e8e7b96becd965d3954fb1bf6609ced462f84dfeda5bc8905c3edb4017e4\",0,\"lean_workbook_plus_53312\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013122.lean\",\"0078bf95f5e08378b33b1ee4f8e9fb09115e46310f42ee35bbcb80279b481ddb\",0,\"lean_workbook_21551\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013123.lean\",\"b58d2141b32c16cb09071c4f6844a424be7954db0c38188f8cafdf172c6d19b3\",0,\"lean_workbook_plus_42492\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 61381,
+      "path": "data/train/pa7/oproofs-s00002-r00013120-n000004-0000-6ef2ef2c3497fbee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "6ef2ef2c3497fbee884f1df1c51afd9c56d645337863c62a6ad7003b7ee71516"
+    },
+    {
+      "bytes": 69333,
+      "path": "data/internal_test/pa7/oproofs-s00002-r00013120-n000004-0000-28fc4942dcb24472.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "28fc4942dcb24472b45571ecc19ef55559d333dd20f7e55a06f2ae06afb09e17"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013124-n000004.json b/manifests/batches/oproofs/s00002-r00013124-n000004.json
index e843f54fdc34183d8449332097bfbb50f535c233..bdaf8b039f175b8820a333f62668d33c73087bfb 100644
--- a/manifests/batches/oproofs/s00002-r00013124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013124-n000004",
   "batch_fingerprint": "7863a683f1451042a1d75ac660cc46d5f21c14333cb31fe9f2d0a1015c5c68ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013124-n000004-0000-144f98af7a19a226.parquet",
-      "sha256": "144f98af7a19a2266e871f7418f297f097aac0265531942fbf819544546c1988",
-      "bytes": 179691,
-      "rows": 15,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13125",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013125.lean\",\"4de3455ded2bab239eec2d6c68cbd54e4b4203caab7d8bb7587edcaa0c4a9f5b\",0,\"lean_workbook_plus_69036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013126.lean\",\"a6b851f196760f198d749b19a7adda2386275fd77e49f5fb9b602dada1ebce1e\",0,\"lean_workbook_plus_61580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013127.lean\",\"675dba8b0fa75715142a33db1bd6546524219d90ea4993d73faec1691ee5d88b\",0,\"lean_workbook_plus_43121\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 179691,
+      "path": "data/train/pec/oproofs-s00002-r00013124-n000004-0000-144f98af7a19a226.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "144f98af7a19a2266e871f7418f297f097aac0265531942fbf819544546c1988"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013128-n000004.json b/manifests/batches/oproofs/s00002-r00013128-n000004.json
index cda585d4be19ce7b1d3018e8b4861f755f4ee0eb..5ed7afbbc34fd868272d8c2bc966b18a9bfc0ce2 100644
--- a/manifests/batches/oproofs/s00002-r00013128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013128-n000004",
   "batch_fingerprint": "7a571830bef310aab7b349ebe64116b4a12f086adf798a20f7230fdb6c69f986",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013128-n000004-0000-c34f50d2180806d0.parquet",
-      "sha256": "c34f50d2180806d0519c15b5d17735ee8b8b8902862c5a00643c6a59118c7b11",
-      "bytes": 332109,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013128-n000004-0000-8f4011d2a9e0e0f5.parquet",
-      "sha256": "8f4011d2a9e0e0f5995dee5b16c7d920441013f72680513b462c89dead2d59ee",
-      "bytes": 89282,
-      "rows": 6,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013129.lean\",\"9c9dfe218b7a81e49ee48697af7b065e50cc4af003af1a1afc15a04652fc00f9\",0,\"lean_workbook_plus_46173\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013130.lean\",\"883c73b1c0fb31e1eefef2a5609e5ae488bbb24c1a4d08229d0f0d0c7a27518e\",0,\"lean_workbook_plus_4657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013131.lean\",\"80d93b8e44a0ec44199c12456e853f1bd6d7f42ebb33df5d39584b0f6b80d0bf\",0,\"lean_workbook_plus_11772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332109,
+      "path": "data/train/p7a/oproofs-s00002-r00013128-n000004-0000-c34f50d2180806d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c34f50d2180806d0519c15b5d17735ee8b8b8902862c5a00643c6a59118c7b11"
+    },
+    {
+      "bytes": 89282,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00013128-n000004-0000-8f4011d2a9e0e0f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8f4011d2a9e0e0f5995dee5b16c7d920441013f72680513b462c89dead2d59ee"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013132-n000004.json b/manifests/batches/oproofs/s00002-r00013132-n000004.json
index 82cf75b9471f2d1dc4b27dc7246f3d4fa600172b..0d156cca75c94b29f1f6e9c18014f9a04ef3b5a5 100644
--- a/manifests/batches/oproofs/s00002-r00013132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013132-n000004",
   "batch_fingerprint": "e712064dc4c363756ef17c9e69b6a8e3acea7572d42189cb58ef21d60f9bd0d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013132-n000004-0000-c02db82d2d6b35b5.parquet",
-      "sha256": "c02db82d2d6b35b5dee3d2d358976566ff224ce892327aa9d54e427c9b8fd9ef",
-      "bytes": 91664,
-      "rows": 12,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013132-n000004-0000-bf30b8ce25d8e000.parquet",
-      "sha256": "bf30b8ce25d8e00000be00f73e5712b0b498bf7f2125db9831cdb4045ce7254f",
-      "bytes": 112556,
-      "rows": 4,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013133.lean\",\"f727083c68277f645f78677d25c8f2d14416e0743792ea8998468b2ecb5457c8\",0,\"lean_workbook_plus_67803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013134.lean\",\"00feff755825f9fbc8d29019fb915af68930a34e2d231e85c3e4f3d4dfdc5cae\",0,\"lean_workbook_plus_73629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013135.lean\",\"14ad7030781d4dd45b2cfac8fbb8fef53b89095204d613d56836b747d8fd09d4\",0,\"lean_workbook_plus_72004\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 91664,
+      "path": "data/train/p82/oproofs-s00002-r00013132-n000004-0000-c02db82d2d6b35b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c02db82d2d6b35b5dee3d2d358976566ff224ce892327aa9d54e427c9b8fd9ef"
+    },
+    {
+      "bytes": 112556,
+      "path": "data/dev/p82/oproofs-s00002-r00013132-n000004-0000-bf30b8ce25d8e000.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "bf30b8ce25d8e00000be00f73e5712b0b498bf7f2125db9831cdb4045ce7254f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013136-n000004.json b/manifests/batches/oproofs/s00002-r00013136-n000004.json
index 0d778677eafc254e592996998fe1b989095e59fd..7f5d4ed88733637893c1bfb6ab54ed6c20f7142c 100644
--- a/manifests/batches/oproofs/s00002-r00013136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013136-n000004",
   "batch_fingerprint": "ce47144ee07bbe703753162522dd61af8d6ee8007418ffd388f6c452094888c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013136-n000004-0000-5ba26bb0672d46bb.parquet",
-      "sha256": "5ba26bb0672d46bbbaaced9d80d6574eb62c251e64f76810fea2bec97fd95d01",
-      "bytes": 301608,
-      "rows": 15,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013136-n000004-0000-1fbfab7ea9befd56.parquet",
-      "sha256": "1fbfab7ea9befd569f90e1416d77ce0339fbbd5f386d1d9dae6deaf027cccfec",
-      "bytes": 75880,
-      "rows": 4,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013137.lean\",\"9f48bb559e45fad54f0215fdc670e7b93153e5d5cabd9160512e618dac7c571d\",0,\"lean_workbook_40801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013138.lean\",\"eea2b775e118ba7194aff693d821bab4dcc0d40bdcd513bf2f7dd73b58941f7f\",0,\"lean_workbook_plus_28319\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013139.lean\",\"cf92251beeb2b9caff45c6dcb448b6691b409ac32412c32e1bf8b44583d29eff\",0,\"ellipse_point_coordinates\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301608,
+      "path": "data/train/p7a/oproofs-s00002-r00013136-n000004-0000-5ba26bb0672d46bb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5ba26bb0672d46bbbaaced9d80d6574eb62c251e64f76810fea2bec97fd95d01"
+    },
+    {
+      "bytes": 75880,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00013136-n000004-0000-1fbfab7ea9befd56.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "1fbfab7ea9befd569f90e1416d77ce0339fbbd5f386d1d9dae6deaf027cccfec"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013140-n000004.json b/manifests/batches/oproofs/s00002-r00013140-n000004.json
index 3fa5edd5b2cd94d2ebe3bb4017e98837d505de5a..8fbc8450cd770fec1a58e80bc37c69ec3e7bb328 100644
--- a/manifests/batches/oproofs/s00002-r00013140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013140-n000004",
   "batch_fingerprint": "d45a22f75e98ab0f1f8340ccf923209de38f891c9a8475b8aeb1d7df9fc76558",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013140-n000004-0000-910351947d7012ac.parquet",
-      "sha256": "910351947d7012ac5cd2ecb67c01b6c43661b0bd54b728638a768bd49f07001c",
-      "bytes": 161799,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013140-n000004-0000-917b295a503858cb.parquet",
-      "sha256": "917b295a503858cb5e66c5548faa84c352bf4e7c8b0ec7a369b995e8a348bbc0",
-      "bytes": 115605,
-      "rows": 8,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13141",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013141.lean\",\"919eb96023f14311d98e9a8ad2a7b92e57827e78d2ce632b3e1059839e8ce95a\",0,\"lean_workbook_plus_69634\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013142.lean\",\"1168d1362b3d76cd9397827d299d0d11f855ca4cfdb3a9e9b6e014bf35b04dfd\",0,\"lean_workbook_plus_46533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013143.lean\",\"c6db0610a42040c971f9fc1dfaa6ad557dc519d4fd7c63c763c04747a050d1fc\",0,\"set_intersection_problem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161799,
+      "path": "data/train/p75/oproofs-s00002-r00013140-n000004-0000-910351947d7012ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "910351947d7012ac5cd2ecb67c01b6c43661b0bd54b728638a768bd49f07001c"
+    },
+    {
+      "bytes": 115605,
+      "path": "data/internal_test/p75/oproofs-s00002-r00013140-n000004-0000-917b295a503858cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "917b295a503858cb5e66c5548faa84c352bf4e7c8b0ec7a369b995e8a348bbc0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013144-n000004.json b/manifests/batches/oproofs/s00002-r00013144-n000004.json
index f78ef05147f8efba399a4794659fbe8da05c01ed..1c2e567a6ae36e6312d01cbd16b1e1fae72609f8 100644
--- a/manifests/batches/oproofs/s00002-r00013144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013144-n000004",
   "batch_fingerprint": "b64ac3e82abea9b3adce1269dc4d68728f95c809c2aabc1654464ce28811056d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013144-n000004-0000-8534aaea8b1011ac.parquet",
-      "sha256": "8534aaea8b1011ac5ef1b0e4e3bbe6650b23ac49cce32d59bc3d8356602fa0d5",
-      "bytes": 267667,
-      "rows": 17,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13145",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013145.lean\",\"af9af8556347fd58b0c1980b9bc5999db7e9dd63f82f8aecb01ab44da30f6972\",0,\"lean_workbook_21759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013146.lean\",\"d929e13154e80a5460f9324bed885f999a3e43fe6b8225adae5a026dc6629f10\",0,\"lean_workbook_plus_53628\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013147.lean\",\"076d40bf26f0b8adcb2b248599f5d5bdf28cfc5c37dd794e682c72750e13f142\",0,\"lean_workbook_plus_28275\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 267667,
+      "path": "data/train/pe4/oproofs-s00002-r00013144-n000004-0000-8534aaea8b1011ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "8534aaea8b1011ac5ef1b0e4e3bbe6650b23ac49cce32d59bc3d8356602fa0d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013148-n000004.json b/manifests/batches/oproofs/s00002-r00013148-n000004.json
index 90dfd393688a52e5753de08f9f49492993f2ae18..3a2df5e60145985ac67f8fe969b0e8b7710e14e5 100644
--- a/manifests/batches/oproofs/s00002-r00013148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013148-n000004",
   "batch_fingerprint": "4270175d3bbe4f6543a812c7355de4740aec472c6e0b0fe268ed13dc19170ca9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013148-n000004-0000-5020079172b0606d.parquet",
-      "sha256": "5020079172b0606d20b70a7d0a85b608da4a18eec1e1512613edce6ac365d278",
-      "bytes": 106278,
-      "rows": 12,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013148-n000004-0000-40b146626ed42cec.parquet",
-      "sha256": "40b146626ed42cecbc4f97850fa093d9225c47bcc64b828d9c8ddc99f998e422",
-      "bytes": 82014,
-      "rows": 3,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13149",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013149.lean\",\"c266a24d52c2155e78b88220d7cae77f0c4fb722cd740b9256d9a296ee272a96\",0,\"lean_workbook_plus_74019\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013150.lean\",\"f727fd4e034e0f1e9a142849a2e8b9b5da87bf21ecb9d414dc2c24582d1ec0ab\",0,\"lean_workbook_29953\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013151.lean\",\"7bf274e01898df526fdb45830aa60d2a9c7a4d1f09e228734beb78c2ff579cc7\",0,\"lean_workbook_plus_63491\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106278,
+      "path": "data/train/pd2/oproofs-s00002-r00013148-n000004-0000-5020079172b0606d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "5020079172b0606d20b70a7d0a85b608da4a18eec1e1512613edce6ac365d278"
+    },
+    {
+      "bytes": 82014,
+      "path": "data/dev/pd2/oproofs-s00002-r00013148-n000004-0000-40b146626ed42cec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "40b146626ed42cecbc4f97850fa093d9225c47bcc64b828d9c8ddc99f998e422"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013152-n000004.json b/manifests/batches/oproofs/s00002-r00013152-n000004.json
index 4f2a69134cf78d38e60eb8d07f79c1c2b33d48d1..4ad1a631e91da542f75cf3efb74e657a214d6bdb 100644
--- a/manifests/batches/oproofs/s00002-r00013152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013152-n000004",
   "batch_fingerprint": "1f8cb22d2ef3c6a8c3c442d6d8d8f5eabfc3115dfc3988953448f0cd18c56762",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013152-n000004-0000-0445c8d44dbdbcec.parquet",
-      "sha256": "0445c8d44dbdbcec8c69b5676fe78e4be3151faaae120985cad11b824aee8d41",
-      "bytes": 331393,
-      "rows": 11,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013152-n000004-0000-2e3c2d1e503c4a4d.parquet",
-      "sha256": "2e3c2d1e503c4a4dc78faebce85df3b0d36293517cd08dc70a8716f109f248e2",
-      "bytes": 40272,
-      "rows": 2,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13153",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013153.lean\",\"188e6b6d2ebb902424187cb02b462e41ad41889ac43b35877e004928c634dad5\",0,\"lean_workbook_plus_53361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013154.lean\",\"0918e6b055ec0c0ca8b1306f362eadcf4ebe8505ecfc7d9c5e9814fc00836e43\",0,\"lean_workbook_plus_59663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013155.lean\",\"977f80a32bd53658744fc455c2c6a93e43934eefb65cffc103c7d3210a7eb7f6\",0,\"function_properties\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 331393,
+      "path": "data/train/ped/oproofs-s00002-r00013152-n000004-0000-0445c8d44dbdbcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0445c8d44dbdbcec8c69b5676fe78e4be3151faaae120985cad11b824aee8d41"
+    },
+    {
+      "bytes": 40272,
+      "path": "data/internal_test/ped/oproofs-s00002-r00013152-n000004-0000-2e3c2d1e503c4a4d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2e3c2d1e503c4a4dc78faebce85df3b0d36293517cd08dc70a8716f109f248e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013156-n000004.json b/manifests/batches/oproofs/s00002-r00013156-n000004.json
index 726f68cf0b88f230e9e79dbcbee096718ff909b3..12a4720344b65ec2393e29f94a7033c64268f8bf 100644
--- a/manifests/batches/oproofs/s00002-r00013156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013156-n000004",
   "batch_fingerprint": "1f580ac6c1228cb3335d18f975b41c9f88f1837989c78259d942cfc6f9aba302",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013156-n000004-0000-5f9e31ad2a2228d6.parquet",
-      "sha256": "5f9e31ad2a2228d620a9d5e294ddd771ebd91dc720893987aea5edd7d078df81",
-      "bytes": 249318,
-      "rows": 21,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013156-n000004-0000-d485922f61acfed0.parquet",
-      "sha256": "d485922f61acfed0c78e04f916dafe9c6925ee9259cf22f070d4f5ffe482be67",
-      "bytes": 45762,
-      "rows": 5,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013157.lean\",\"a5667b943d570df97c0cc65b8097ab48a9acf260ccf866c138027f34efcfd2e1\",0,\"lean_workbook_plus_16842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013158.lean\",\"2e084cc9ce7811dbb97deef5ee202451499daab1a315c0c5164ca17346ecf0eb\",0,\"lean_workbook_plus_41746\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013159.lean\",\"416fa0695e16596d616117cc3a7abb241be1abfaa8a89051aeced7c36209ceee\",0,\"lean_workbook_plus_80435\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249318,
+      "path": "data/train/p34/oproofs-s00002-r00013156-n000004-0000-5f9e31ad2a2228d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "5f9e31ad2a2228d620a9d5e294ddd771ebd91dc720893987aea5edd7d078df81"
+    },
+    {
+      "bytes": 45762,
+      "path": "data/internal_test/p34/oproofs-s00002-r00013156-n000004-0000-d485922f61acfed0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "d485922f61acfed0c78e04f916dafe9c6925ee9259cf22f070d4f5ffe482be67"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013160-n000004.json b/manifests/batches/oproofs/s00002-r00013160-n000004.json
index 817622bb56e518a457295dd849b68005c09672b9..f8e5538f95b52cb32b90f0945151e75e33c5f361 100644
--- a/manifests/batches/oproofs/s00002-r00013160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013160-n000004",
   "batch_fingerprint": "85f3301cd65b06a45af861a7d786206fbd83d28d60a851999f8252f8a4ad5b68",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013160-n000004-0000-ea1032e8f112aa80.parquet",
-      "sha256": "ea1032e8f112aa806a7db96aaf3d6b75474e865c67205db8df4e084abcaac02e",
-      "bytes": 261389,
-      "rows": 15,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013161.lean\",\"77a012f1b7795b88350518159297b540bb707706c41b4365be8496684b2406f4\",0,\"lean_workbook_plus_25436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013162.lean\",\"96562d5486b342ab1bb2646e7aee10b410693f5ccfb945854f983659f41f28e9\",0,\"lean_workbook_plus_30776\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013163.lean\",\"22d7ae88d900595f501c91bc1c86550cccd311e9fc5e2512b0c1acee9d72baac\",0,\"lean_workbook_plus_33264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 261389,
+      "path": "data/train/p8a/oproofs-s00002-r00013160-n000004-0000-ea1032e8f112aa80.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "ea1032e8f112aa806a7db96aaf3d6b75474e865c67205db8df4e084abcaac02e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013164-n000004.json b/manifests/batches/oproofs/s00002-r00013164-n000004.json
index 24394ec68dc2be2f9e9761136b516ec8fd721fdb..4a1f3bb7a390e245f9b55209e8ddf83f555fa611 100644
--- a/manifests/batches/oproofs/s00002-r00013164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013164-n000004",
   "batch_fingerprint": "5c99307b70d19dbfe362fcc0cddcedf23aa8a14aeef4dd9eba50cddd5ba0f048",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13164",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13165",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13166",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13167"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013164.lean\",\"28b45e945c48250d3bd16f9a6bd333c5e1ed110187db0fc82a2e59478898cca3\",0,\"lean_workbook_plus_54462\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013165.lean\",\"5e59eee190ba2650cef0fddc3f76a1413bb955ed097d6393233963f3f19da6b9\",0,\"lean_workbook_plus_6482\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013166.lean\",\"6d606878290be02b81ebf31afd80e4eba8c7fb13a946dcd6b31afa29a1989787\",0,\"lean_workbook_plus_69866\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013167.lean\",\"4c257efc006fd9dc3d1ee366795f6d4fb1ddc752ec75b002d10a3fdedd65e4a5\",0,\"lean_workbook_plus_6712\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013164-n000004-0000-d3c0f80252808db3.parquet",
-      "sha256": "d3c0f80252808db31094b71ab1f7165a4c0c4befb768f9cf4b47b370e6e6abff",
       "bytes": 436288,
+      "path": "data/train/p5d/oproofs-s00002-r00013164-n000004-0000-d3c0f80252808db3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "d3c0f80252808db31094b71ab1f7165a4c0c4befb768f9cf4b47b370e6e6abff"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013164-n000004-0001-34138ffd3284f7cd.parquet",
-      "sha256": "34138ffd3284f7cd23a9629f4e65c5a87124ced65d5be97b3c5a9bf6c1ef4b1c",
       "bytes": 359807,
+      "path": "data/train/p5d/oproofs-s00002-r00013164-n000004-0001-34138ffd3284f7cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "34138ffd3284f7cd23a9629f4e65c5a87124ced65d5be97b3c5a9bf6c1ef4b1c"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013164-n000004-0000-1865d2fa62013491.parquet",
-      "sha256": "1865d2fa62013491135efe85f3bb5fa3d8c21af3446c68ca3badc457af6b9358",
       "bytes": 35250,
+      "path": "data/dev/p5d/oproofs-s00002-r00013164-n000004-0000-1865d2fa62013491.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "1865d2fa62013491135efe85f3bb5fa3d8c21af3446c68ca3badc457af6b9358"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13164",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13165",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13166",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13167"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013164.lean\",\"28b45e945c48250d3bd16f9a6bd333c5e1ed110187db0fc82a2e59478898cca3\",0,\"lean_workbook_plus_54462\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013165.lean\",\"5e59eee190ba2650cef0fddc3f76a1413bb955ed097d6393233963f3f19da6b9\",0,\"lean_workbook_plus_6482\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013166.lean\",\"6d606878290be02b81ebf31afd80e4eba8c7fb13a946dcd6b31afa29a1989787\",0,\"lean_workbook_plus_69866\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013167.lean\",\"4c257efc006fd9dc3d1ee366795f6d4fb1ddc752ec75b002d10a3fdedd65e4a5\",0,\"lean_workbook_plus_6712\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013168-n000004.json b/manifests/batches/oproofs/s00002-r00013168-n000004.json
index 7a40b2e4650bc85433b3e578e789dc2743ba2641..361f2ced5bfae6e78aea66f0d48dd6ac4b1c8c1f 100644
--- a/manifests/batches/oproofs/s00002-r00013168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013168-n000004",
   "batch_fingerprint": "1aa95559efcf3939eeab6755ebb5f3ad2dc250e677e76113441872c979489329",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013168-n000004-0000-7dba3a01f9e6abc2.parquet",
-      "sha256": "7dba3a01f9e6abc2031ef88a8f4f1ef98ce47711350392496f252d9d9229c7bc",
-      "bytes": 248105,
-      "rows": 19,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013169.lean\",\"aca323f1f585556b7e353800db763715ee622b1614f9e8be08d5d8b9a5fda095\",0,\"lean_workbook_plus_22667\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013170.lean\",\"483daa47fbce9f067765f30acfff68119ee94ee9c14d15b076018469a149df25\",0,\"lean_workbook_plus_78762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013171.lean\",\"429a62e67ab3ee6d47ff0cecc7f529c19f276a619c4347212c7e3fecccb38779\",0,\"lean_workbook_plus_75899\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248105,
+      "path": "data/train/p43/oproofs-s00002-r00013168-n000004-0000-7dba3a01f9e6abc2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7dba3a01f9e6abc2031ef88a8f4f1ef98ce47711350392496f252d9d9229c7bc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013172-n000004.json b/manifests/batches/oproofs/s00002-r00013172-n000004.json
index c95dbb396179587ace3f6a9916a25f652a313794..0d7219401cbd76d01fded5391645e9ffe756f2ac 100644
--- a/manifests/batches/oproofs/s00002-r00013172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013172-n000004",
   "batch_fingerprint": "0b18c32ba7ea287b81deccc2b40e8a183f23c9457b2796d4ff95b1964ef1cf4b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013172-n000004-0000-118fd872d1917efd.parquet",
-      "sha256": "118fd872d1917efd70816f9212e7b4c10d586cbc8f226ed8f8061707f4b11fc7",
-      "bytes": 163251,
-      "rows": 16,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013172-n000004-0000-ac6d71119b1a9023.parquet",
-      "sha256": "ac6d71119b1a902321340c935428ca79f309587b59f88ad0f5326de86ba608d5",
-      "bytes": 360330,
-      "rows": 7,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013173.lean\",\"b97ae3e6b2361b8242c23686b69e5dec54dc52967966e0b0db0029fcb57356c8\",0,\"lean_workbook_14875\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013174.lean\",\"b16ba7deb73b7ddf3faefdb0093368d2afe22dee3de48e7e1cf2ecdb95160b0c\",0,\"lean_workbook_plus_33106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013175.lean\",\"4466e0f3b8d2a50bad746941c99bf769c9dea2413ea758ec00b6a11028abe660\",0,\"compare_roots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 163251,
+      "path": "data/train/pea/oproofs-s00002-r00013172-n000004-0000-118fd872d1917efd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "118fd872d1917efd70816f9212e7b4c10d586cbc8f226ed8f8061707f4b11fc7"
+    },
+    {
+      "bytes": 360330,
+      "path": "data/internal_test/pea/oproofs-s00002-r00013172-n000004-0000-ac6d71119b1a9023.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ac6d71119b1a902321340c935428ca79f309587b59f88ad0f5326de86ba608d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013176-n000004.json b/manifests/batches/oproofs/s00002-r00013176-n000004.json
index b021cc59b8f82d62f451c04740fd2799194ea9cc..8d890dd3b3f70f640ba121d90178f38d984ea235 100644
--- a/manifests/batches/oproofs/s00002-r00013176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013176-n000004",
   "batch_fingerprint": "ce4dac78bf03d813915571da36f41354a4c78fd2612b20d54d553a68abe3f754",
   "evidence": {
@@ -40,37 +39,38 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13176",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13177",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13179"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013176.lean\",\"c6f5f1f2dc6c601c1ad6e18a56f8040efaf640c0864bcac03b60734f36962379\",0,\"lean_workbook_38996\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013177.lean\",\"a236e2101d692dbf0db3f1986f7d35fef8ea26d6f813671a458f20765d805df4\",0,\"lean_workbook_plus_77662\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013179.lean\",\"5c715a05d1bfe17177a7cb8df5630b2d42b90001b977fea13232219bef382bb1\",0,\"lean_workbook_plus_37792\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013176-n000004-0000-a4858f1c9f90f667.parquet",
-      "sha256": "a4858f1c9f90f6671c9345e93c53aab156636547f6e28414d5fd84bc8efbc638",
       "bytes": 28367,
+      "path": "data/train/pbd/oproofs-s00002-r00013176-n000004-0000-a4858f1c9f90f667.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "a4858f1c9f90f6671c9345e93c53aab156636547f6e28414d5fd84bc8efbc638"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013176-n000004-0000-fc85d7f9686406ac.parquet",
-      "sha256": "fc85d7f9686406acdf9fad96dfd4c99bc27f308fabc6c44020cf3188a5ae561b",
       "bytes": 97375,
+      "path": "data/dev/pbd/oproofs-s00002-r00013176-n000004-0000-fc85d7f9686406ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "fc85d7f9686406acdf9fad96dfd4c99bc27f308fabc6c44020cf3188a5ae561b"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013176-n000004-0000-e833144ea0999740.parquet",
-      "sha256": "e833144ea0999740c2fbafcd193e49fea6ef511c706a34007ced61d210d9d1a2",
       "bytes": 94527,
+      "path": "data/internal_test/pbd/oproofs-s00002-r00013176-n000004-0000-e833144ea0999740.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "996f1a4851b212d73d3ca22b80f31379931b25ff"
+      "sha256": "e833144ea0999740c2fbafcd193e49fea6ef511c706a34007ced61d210d9d1a2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13176",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13177",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13179"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013176.lean\",\"c6f5f1f2dc6c601c1ad6e18a56f8040efaf640c0864bcac03b60734f36962379\",0,\"lean_workbook_38996\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013177.lean\",\"a236e2101d692dbf0db3f1986f7d35fef8ea26d6f813671a458f20765d805df4\",0,\"lean_workbook_plus_77662\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013179.lean\",\"5c715a05d1bfe17177a7cb8df5630b2d42b90001b977fea13232219bef382bb1\",0,\"lean_workbook_plus_37792\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013180-n000004.json b/manifests/batches/oproofs/s00002-r00013180-n000004.json
index 82d23be7bb28c55497b73dece202460be3aa23d3..8f2a0d0cfd5c6bbe7e3d614920c05ad94a3d74ed 100644
--- a/manifests/batches/oproofs/s00002-r00013180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013180-n000004",
   "batch_fingerprint": "1a111296ad530f70ba4d955ba95f8963c3a73c4fb9718bf7948c192c08348fbd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013180-n000004-0000-03604d499ebf83fa.parquet",
-      "sha256": "03604d499ebf83fa178b571062402d94b0caa3ddbf0802bcd0daf23323679e6a",
-      "bytes": 135977,
-      "rows": 16,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013180-n000004-0000-b21635465b01ddcb.parquet",
-      "sha256": "b21635465b01ddcb414075057cdd27f521731b03f1b5b913f586b7e16d6bbfe2",
-      "bytes": 233427,
-      "rows": 13,
-      "revision": "ad52fd982894134c7496a4290650c6f45735906b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013181.lean\",\"6ef42da14666f545af739128267d745e5dfd5e3928e947fc817b186a09d1dbc9\",0,\"lean_workbook_plus_76505\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013182.lean\",\"cf776ea0f5dc12fe01a7ea70d6695db047f443a5ae721cf1111521b5b26373ad\",0,\"lean_workbook_25817\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013183.lean\",\"120f31687e3116d618cf46cb2ddb67098228534cc3bb27c7806a151885a15b8d\",0,\"lean_workbook_plus_26945\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 135977,
+      "path": "data/train/p18/oproofs-s00002-r00013180-n000004-0000-03604d499ebf83fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "03604d499ebf83fa178b571062402d94b0caa3ddbf0802bcd0daf23323679e6a"
+    },
+    {
+      "bytes": 233427,
+      "path": "data/dev/p18/oproofs-s00002-r00013180-n000004-0000-b21635465b01ddcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "b21635465b01ddcb414075057cdd27f521731b03f1b5b913f586b7e16d6bbfe2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013184-n000004.json b/manifests/batches/oproofs/s00002-r00013184-n000004.json
index 447b9e417583cd2cc5cc7dac316c9c43e8319310..c3971de06ca7ddcd438b53d7f61e104196ad8983 100644
--- a/manifests/batches/oproofs/s00002-r00013184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013184-n000004",
   "batch_fingerprint": "ac057b19125946aca308f831b84313ce2f7c961ed1dc38857eced1b03a2587fc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013184-n000004-0000-de61705dff5d9ab2.parquet",
-      "sha256": "de61705dff5d9ab2df4f2097c7a6798bb36a81eaa222f9bb4bb92aab64f0f141",
-      "bytes": 133662,
-      "rows": 14,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013184-n000004-0000-611251d05a63b91e.parquet",
-      "sha256": "611251d05a63b91ee65712c943d80f763eb07ef24a697f7408f594ccdb4e4183",
-      "bytes": 99643,
-      "rows": 5,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13185",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013185.lean\",\"c46fcba6f3079c8463ef7a41f88d1ed6a2297bc97082afb29856188fe9dc627f\",0,\"lean_workbook_plus_67407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013186.lean\",\"4dbc1899a016029f41cd059f574e499252d592c83a5cb6220772919470f83800\",0,\"lean_workbook_plus_16830\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013187.lean\",\"b5d030f2bd4893f7c952fd213f3f2bb39b1e64d3b5dd3013cae1a4fb80a4191b\",0,\"lean_workbook_plus_2784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133662,
+      "path": "data/train/p33/oproofs-s00002-r00013184-n000004-0000-de61705dff5d9ab2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "de61705dff5d9ab2df4f2097c7a6798bb36a81eaa222f9bb4bb92aab64f0f141"
+    },
+    {
+      "bytes": 99643,
+      "path": "data/internal_test/p33/oproofs-s00002-r00013184-n000004-0000-611251d05a63b91e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "611251d05a63b91ee65712c943d80f763eb07ef24a697f7408f594ccdb4e4183"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013188-n000004.json b/manifests/batches/oproofs/s00002-r00013188-n000004.json
index cbc9e92f8912cbfede71fed0c3afe2d1097e4fa6..134e22e7d2d7d49cab7f502f00a5658207e60fc0 100644
--- a/manifests/batches/oproofs/s00002-r00013188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013188-n000004",
   "batch_fingerprint": "96b84b8edf907becdafea70dcbc1d7195c3dd9488cf99cfd8d62a109a461074e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013188-n000004-0000-8e4a0246235140d5.parquet",
-      "sha256": "8e4a0246235140d5d7bb250bb43b6bee99891036f88d258fa096d7454bef4553",
-      "bytes": 734595,
-      "rows": 36,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013188-n000004-0000-23f54802263fbd22.parquet",
-      "sha256": "23f54802263fbd227d38a86a6d945a7083f210a065b8fc5988fa293a6f228e58",
-      "bytes": 185598,
-      "rows": 6,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13189",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013189.lean\",\"d26b1f8efb40eaf6f2d926f30a19999ab80fb216a1546211c90afb4425402cc5\",0,\"lean_workbook_plus_50597\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013190.lean\",\"77d40ae22c9c1ee6e092be06e11d9ac82a267b349fba34bb43e44a72f98d0ee8\",0,\"lean_workbook_plus_14144\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013191.lean\",\"425ab792ba6653c0d45900017c9b4d89437ad041b7c7d7571a80e30b822dd329\",0,\"lean_workbook_plus_22111\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734595,
+      "path": "data/train/p52/oproofs-s00002-r00013188-n000004-0000-8e4a0246235140d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "8e4a0246235140d5d7bb250bb43b6bee99891036f88d258fa096d7454bef4553"
+    },
+    {
+      "bytes": 185598,
+      "path": "data/dev/p52/oproofs-s00002-r00013188-n000004-0000-23f54802263fbd22.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "23f54802263fbd227d38a86a6d945a7083f210a065b8fc5988fa293a6f228e58"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013192-n000004.json b/manifests/batches/oproofs/s00002-r00013192-n000004.json
index 524df7ef9af2a870b39425084a77df4f7e6a762d..eabafb6d18969fdd32eb464ddb63a50c6aea4a58 100644
--- a/manifests/batches/oproofs/s00002-r00013192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013192-n000004",
   "batch_fingerprint": "9ace976994787fdef7e45edd72dcc468df84a5ed9835db284a7242cfc35c6cab",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013192-n000004-0000-2b82cf5ae8f92393.parquet",
-      "sha256": "2b82cf5ae8f92393936b87d4ca6dfb0d1f290638d5dfb5f017a6835c47dc345b",
-      "bytes": 258878,
-      "rows": 22,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13193",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013192.lean\",\"384df7bae1c128df11ecc5a98bba176c943625a6199e822a532ec4ee35ebeb3c\",0,\"lean_workbook_plus_30323\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013193.lean\",\"f093e68852af00d75ce3b46c299e276d0544134a57f7712068f7fd752a9ecff6\",0,\"lean_workbook_33451\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013195.lean\",\"7a02f1b100977734181e903a505ca8ad94cadc1b8f7496d5a3643a60b70814ca\",0,\"lean_workbook_plus_17872\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258878,
+      "path": "data/train/p1a/oproofs-s00002-r00013192-n000004-0000-2b82cf5ae8f92393.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "2b82cf5ae8f92393936b87d4ca6dfb0d1f290638d5dfb5f017a6835c47dc345b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013196-n000004.json b/manifests/batches/oproofs/s00002-r00013196-n000004.json
index 38a0e66719a20dc7e3cc9da021144ab0ce8eb457..8d87e3a25cfd411835cef61354bad5f4251ebeae 100644
--- a/manifests/batches/oproofs/s00002-r00013196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013196-n000004",
   "batch_fingerprint": "ead659fd2314d5b3c4e667c5c6fe521eb5b9e028fbaa3b262aa55a40dc23f985",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013196-n000004-0000-91dac61aae2f0561.parquet",
-      "sha256": "91dac61aae2f05616cd4f2d314ebd7712d22727781ab929c82985bb93f1b5522",
-      "bytes": 70113,
-      "rows": 10,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013196-n000004-0000-28e852f48110a8e3.parquet",
-      "sha256": "28e852f48110a8e3c3084b84f4febcf7b2d0fb5677b36269aa78bb235134ec2e",
-      "bytes": 53143,
-      "rows": 4,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13196",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13197",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013197.lean\",\"1bee8557099a37901b97bfcd260b6610d478a3357d96360a4ae785aab3852cda\",0,\"lean_workbook_plus_42492\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013198.lean\",\"534c87f1c2bd70ee0b2190bc157a70e01c014bd5aeaecb9708b66c4a6d0d987c\",0,\"lean_workbook_plus_11509\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013199.lean\",\"ee6f8a9730075f340ba0f5ba225b638ad46fc1cee784018f3b6d7f58a1cc3264\",0,\"lean_workbook_21551\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 70113,
+      "path": "data/train/p86/oproofs-s00002-r00013196-n000004-0000-91dac61aae2f0561.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "91dac61aae2f05616cd4f2d314ebd7712d22727781ab929c82985bb93f1b5522"
+    },
+    {
+      "bytes": 53143,
+      "path": "data/internal_test/p86/oproofs-s00002-r00013196-n000004-0000-28e852f48110a8e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "28e852f48110a8e3c3084b84f4febcf7b2d0fb5677b36269aa78bb235134ec2e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013200-n000004.json b/manifests/batches/oproofs/s00002-r00013200-n000004.json
index b4195f226c3bcba27849e5cc118317f318ef5a24..726596ffd151c41a63705d46b0066e4edd9b073d 100644
--- a/manifests/batches/oproofs/s00002-r00013200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013200-n000004",
   "batch_fingerprint": "76f366ffefd3d3d7975fd8f3f7fdd0b339b40543d539b65f81a94887eb07b56c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013200-n000004-0000-6e412afa0e19121f.parquet",
-      "sha256": "6e412afa0e19121f7b26ced676b43975f6939df9e15c95a1ee83836218c72e56",
-      "bytes": 414604,
-      "rows": 26,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13200",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13201",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013201.lean\",\"f00d1ee8f4db8cab2bd0a91fba76ec3934acf7db4625c7f1f24098f0147f0762\",0,\"lean_workbook_plus_14232\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013202.lean\",\"1d692423b0af4d3300e4c99352484aab1049249da75b36acb578af9aaa8714c3\",0,\"lean_workbook_plus_70171\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013203.lean\",\"5b1e3a4ab85bca709673b7c613ae8f3262ddd45d558de71e209ed5d406270ffb\",0,\"lean_workbook_plus_4657\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 414604,
+      "path": "data/train/p86/oproofs-s00002-r00013200-n000004-0000-6e412afa0e19121f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "6e412afa0e19121f7b26ced676b43975f6939df9e15c95a1ee83836218c72e56"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013204-n000004.json b/manifests/batches/oproofs/s00002-r00013204-n000004.json
index 1297cbce904a8e3b4b3cae2c5062d31e1f8d2230..46c339c4bc963cfe054675931b36061450f361aa 100644
--- a/manifests/batches/oproofs/s00002-r00013204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013204-n000004",
   "batch_fingerprint": "c9babcce122859907286c4d51515cc11cd317e8e3651f6a86b342bed2a407c42",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013204-n000004-0000-9062d9f53e60098f.parquet",
-      "sha256": "9062d9f53e60098f1ef19ddb415ac71322697f2f263b4968340e14fc4146df9a",
-      "bytes": 274827,
-      "rows": 21,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13205",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013205.lean\",\"952b95dd91108cf2c12908df65eb143d0b9910003874e634c3b754f088addfd2\",0,\"lean_workbook_plus_77562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013206.lean\",\"51c02cbf306fb495b4321ece52ef5258491d79ea6ebecaf0ce38010acdb46b2c\",0,\"lean_workbook_plus_73629\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013207.lean\",\"f2feb03578f57a55eb95f37447a3bc487fd4f8170c3ac091307db6cc001f695e\",0,\"lean_workbook_plus_11772\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 274827,
+      "path": "data/train/pfe/oproofs-s00002-r00013204-n000004-0000-9062d9f53e60098f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "9062d9f53e60098f1ef19ddb415ac71322697f2f263b4968340e14fc4146df9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013208-n000004.json b/manifests/batches/oproofs/s00002-r00013208-n000004.json
index 3313e73138303053ed95614eeccffbe2408b2f75..b7bf22e5104ff64e2ffa8c7744501c2430a294b8 100644
--- a/manifests/batches/oproofs/s00002-r00013208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013208-n000004",
   "batch_fingerprint": "534e9a88dedf55ce9e8f39e9d46d70fc2dae1efd5d87981bd4d3a47aa3b6e11f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013208-n000004-0000-b448b491b991a701.parquet",
-      "sha256": "b448b491b991a7014e9f359feb5c186766e80f18264a0470d798a841db6dc093",
-      "bytes": 95092,
-      "rows": 9,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013208-n000004-0000-6bdfd06286f8b3f0.parquet",
-      "sha256": "6bdfd06286f8b3f066e61b34bebfaf6bdfc6b676ae7dc206f6643f0c48cdd494",
-      "bytes": 174489,
-      "rows": 6,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013209.lean\",\"6ab3c2bc20d7d198025519b625b0f30747604cdeb7febb13ff66399c5a245359\",0,\"lean_workbook_40801\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013210.lean\",\"a9c8e7b515926f8c8655399c62028c397fd9f9e81e444d4f344e63c7f611c3d1\",0,\"lean_workbook_plus_67803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013211.lean\",\"135434a26dbf0a9674caabf32421392026a0377364a552f2c9e8c6f2229e5430\",0,\"lean_workbook_15799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 95092,
+      "path": "data/train/p76/oproofs-s00002-r00013208-n000004-0000-b448b491b991a701.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b448b491b991a7014e9f359feb5c186766e80f18264a0470d798a841db6dc093"
+    },
+    {
+      "bytes": 174489,
+      "path": "data/dev/p76/oproofs-s00002-r00013208-n000004-0000-6bdfd06286f8b3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "6bdfd06286f8b3f066e61b34bebfaf6bdfc6b676ae7dc206f6643f0c48cdd494"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013212-n000004.json b/manifests/batches/oproofs/s00002-r00013212-n000004.json
index 68e28a1dbb04c2d4f0d8101237fcd5d2e92f7444..f397503241d4a06a8a2742c69105fc4dda0ced1f 100644
--- a/manifests/batches/oproofs/s00002-r00013212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013212-n000004",
   "batch_fingerprint": "4af210d488e2e65fb6e657f36b54a17454c69832798ce5a6156884d819f3e5d8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013212-n000004-0000-11d0a22181a2bbdc.parquet",
-      "sha256": "11d0a22181a2bbdcf8d21e490ecdee846bc555126064347a791f5a1161c2987d",
-      "bytes": 133460,
-      "rows": 12,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013212-n000004-0000-8624dba931be46b4.parquet",
-      "sha256": "8624dba931be46b48ddd6b43273621a426d81d3d3f045ba72f862e52e16935c3",
-      "bytes": 59532,
-      "rows": 2,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13213",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013213.lean\",\"86c511b843f5931aaac250c1374827cf12f55e3371c53d35b1a404f414eda4c3\",0,\"lean_workbook_plus_61580\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013214.lean\",\"1bf51cd554781b91b3261fd0e8edaf0f0d88f312078965ab7ca020786674eddf\",0,\"lean_workbook_plus_79808\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013215.lean\",\"d94c8752caaba03f96aea8ed700844a3a8cf5829f444703840cc5a2df0cab4ba\",0,\"lean_workbook_11378\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 133460,
+      "path": "data/train/p01/oproofs-s00002-r00013212-n000004-0000-11d0a22181a2bbdc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "11d0a22181a2bbdcf8d21e490ecdee846bc555126064347a791f5a1161c2987d"
+    },
+    {
+      "bytes": 59532,
+      "path": "data/internal_test/p01/oproofs-s00002-r00013212-n000004-0000-8624dba931be46b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8624dba931be46b48ddd6b43273621a426d81d3d3f045ba72f862e52e16935c3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013216-n000004.json b/manifests/batches/oproofs/s00002-r00013216-n000004.json
index 244524defc96e4cd2e409d9a9022dca586e8a09e..95f6447d6f90547b2ce0b7c7f7fd7217c201d864 100644
--- a/manifests/batches/oproofs/s00002-r00013216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013216-n000004",
   "batch_fingerprint": "dc48b761a7d65e28d91daa572baa79a7330268c1deb9c4634660d6bd169603c0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013216-n000004-0000-3cbeb4b5dffc430d.parquet",
-      "sha256": "3cbeb4b5dffc430d71f9046f1ac9965c95eb8fba5f0a0d323d702cc2d69caf67",
-      "bytes": 226316,
-      "rows": 11,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013216-n000004-0000-8cf427dbcd80003a.parquet",
-      "sha256": "8cf427dbcd80003af88959a0844324d18febd77d522579287332afd2b47b92fe",
-      "bytes": 132325,
-      "rows": 8,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013217.lean\",\"f34296541ba8cc506fc3996f5cff856378fe19b770fec61f13928e14250592b0\",0,\"lean_workbook_plus_7733\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013218.lean\",\"67180b31e2e85ba660301dede1c10a881f6a9bf3605e6d523f5a343aebda981f\",0,\"set_intersection_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013219.lean\",\"35e5502d8a60135611cb964094f4d9587394fad9868d59dab960cfe30bb37e7b\",0,\"lean_workbook_plus_28275\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226316,
+      "path": "data/train/pdc/oproofs-s00002-r00013216-n000004-0000-3cbeb4b5dffc430d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3cbeb4b5dffc430d71f9046f1ac9965c95eb8fba5f0a0d323d702cc2d69caf67"
+    },
+    {
+      "bytes": 132325,
+      "path": "data/internal_test/pdc/oproofs-s00002-r00013216-n000004-0000-8cf427dbcd80003a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8cf427dbcd80003af88959a0844324d18febd77d522579287332afd2b47b92fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013220-n000004.json b/manifests/batches/oproofs/s00002-r00013220-n000004.json
index 4248a532af19d1f10e97ff3e6579349f04abdded..74926ede9edaae53d3f6c2df8e0a28c4a74abf28 100644
--- a/manifests/batches/oproofs/s00002-r00013220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013220-n000004",
   "batch_fingerprint": "d0a31f4e20832999645147ccdcd4e3e86e3f480f1e244b032e5c0fa5d957961d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013220-n000004-0000-1c26b650b41a25a6.parquet",
-      "sha256": "1c26b650b41a25a6c2771f1e46f760efc6903d0d135555715e69b3d856576a06",
-      "bytes": 237690,
-      "rows": 21,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13221",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013221.lean\",\"cede8f3e1b20ada1f3bb031cbaeb302234e2378659646d5d6fe2f2b250d2b9a5\",0,\"lean_workbook_plus_82832\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013222.lean\",\"3f6f6490a9428a79386ed6c7462bb2337d50dff3b937072e5805ba967336f05e\",0,\"fraction_simplification\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013223.lean\",\"f47d71502bb42e4b98464d7c77ef71372fbd522c9c7ef3b03b0e5cabe386ac74\",0,\"lean_workbook_plus_13972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237690,
+      "path": "data/train/p21/oproofs-s00002-r00013220-n000004-0000-1c26b650b41a25a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1c26b650b41a25a6c2771f1e46f760efc6903d0d135555715e69b3d856576a06"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013224-n000004.json b/manifests/batches/oproofs/s00002-r00013224-n000004.json
index dbfed7d467f7a33624cad29bd14b1885cd8eeecb..b146c05fc38b84c9db3febd2cfaceb43d05230b0 100644
--- a/manifests/batches/oproofs/s00002-r00013224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013224-n000004",
   "batch_fingerprint": "948760395201882eda32f90ff498d6a91e1fa4638b125514dcc7034556723c3a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013224-n000004-0000-88fbd7ae1740012c.parquet",
-      "sha256": "88fbd7ae1740012c674655c2f1adfbaff6ab02c00376bddc74abb82e1a6e9702",
-      "bytes": 345797,
-      "rows": 15,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013224-n000004-0000-9eddcd7611bc3072.parquet",
-      "sha256": "9eddcd7611bc3072167acfdaddcbd7efaabd6f7ae82209f6ed2b806b47d8832d",
-      "bytes": 132656,
-      "rows": 6,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13225",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013225.lean\",\"b28c35860500190082f9bd76924dc3c5b727581fc147faf9e88adcb398a8d71e\",0,\"lean_workbook_plus_53628\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013226.lean\",\"9fee7e6243374e8269cde7a504b795b7312b7a860de11bdb97680afd466bfabe\",0,\"lean_workbook_plus_46533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013227.lean\",\"d4927d6916d1d7313ec478e15d219d37f2f000eaa4a3261e857b764df306d50f\",0,\"lean_workbook_29953\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 345797,
+      "path": "data/train/ped/oproofs-s00002-r00013224-n000004-0000-88fbd7ae1740012c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "88fbd7ae1740012c674655c2f1adfbaff6ab02c00376bddc74abb82e1a6e9702"
+    },
+    {
+      "bytes": 132656,
+      "path": "data/dev/ped/oproofs-s00002-r00013224-n000004-0000-9eddcd7611bc3072.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9eddcd7611bc3072167acfdaddcbd7efaabd6f7ae82209f6ed2b806b47d8832d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013228-n000004.json b/manifests/batches/oproofs/s00002-r00013228-n000004.json
index 5ff43b4ae0374bdd6fce4cfd100e6c4c90c299b9..0795e4618c96b9926120b882fba34791423f0013 100644
--- a/manifests/batches/oproofs/s00002-r00013228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013228-n000004",
   "batch_fingerprint": "e309358a7cb1493e02e2be97aa0abd071de645b6a3c1fe1811abb1bfcb072c07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013228-n000004-0000-b7a5357a5c160d83.parquet",
-      "sha256": "b7a5357a5c160d83f2565d993685ccb58b40c9ee326ccc6cd5ec97c11604ea29",
-      "bytes": 227135,
-      "rows": 14,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013228-n000004-0000-34c6d3db1aecbcec.parquet",
-      "sha256": "34c6d3db1aecbcec3348de278140a7bbc79f030a10aa70d8e71e27fd8f6cc14c",
-      "bytes": 38659,
-      "rows": 2,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013229.lean\",\"1ddf61d738f524305babb66d4e0398b6f1af3ca0db733788542b171ab19646fe\",0,\"lean_workbook_37787\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013230.lean\",\"876f47a2c011537a77ff70c771a8c95992acc351c321a50a0ff3ff59839c008d\",0,\"lean_workbook_plus_63491\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013231.lean\",\"f4eadb8dde7be9c63bd69525bb4a93cd944504acd2c5bd853554e03c8882a221\",0,\"lean_workbook_plus_59663\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 227135,
+      "path": "data/train/p48/oproofs-s00002-r00013228-n000004-0000-b7a5357a5c160d83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "b7a5357a5c160d83f2565d993685ccb58b40c9ee326ccc6cd5ec97c11604ea29"
+    },
+    {
+      "bytes": 38659,
+      "path": "data/internal_test/p48/oproofs-s00002-r00013228-n000004-0000-34c6d3db1aecbcec.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "34c6d3db1aecbcec3348de278140a7bbc79f030a10aa70d8e71e27fd8f6cc14c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013232-n000004.json b/manifests/batches/oproofs/s00002-r00013232-n000004.json
index 5e0719164cff6cf20802371801f11b28128a0c2a..1fe6674ad4b584619abe6446e4fc2cbf8d9debb0 100644
--- a/manifests/batches/oproofs/s00002-r00013232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013232-n000004",
   "batch_fingerprint": "daa8e3498f84095725117968e90be158849e2ab91ac05eeb93323dc7377e4d65",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013232-n000004-0000-48f9d4fb44896a7e.parquet",
-      "sha256": "48f9d4fb44896a7ea4d7d309d017ae0f06bb5f4ae0b3d55ffd8d9376910f0989",
-      "bytes": 226830,
-      "rows": 17,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013233.lean\",\"64549b5567fffbfaf949889d71e174cf1f98d5feeae438fff0669164056bed5e\",0,\"lean_workbook_plus_53361\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013234.lean\",\"eece533022fd45fe423ba5821403972c85a225027def4937bf1d09294539a92b\",0,\"lean_workbook_plus_16842\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013235.lean\",\"3f633e5f2b8a63c4ab1476679f29eb5f8634743c4aeef34250fb62d9fb98efe3\",0,\"function_properties\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 226830,
+      "path": "data/train/pae/oproofs-s00002-r00013232-n000004-0000-48f9d4fb44896a7e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "48f9d4fb44896a7ea4d7d309d017ae0f06bb5f4ae0b3d55ffd8d9376910f0989"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013236-n000004.json b/manifests/batches/oproofs/s00002-r00013236-n000004.json
index bbf571c94f81891444af788c013172454342635d..69f89830cf6ed84b33eb78ba9092cf5cc9023060 100644
--- a/manifests/batches/oproofs/s00002-r00013236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013236-n000004",
   "batch_fingerprint": "1a4315ab1a6d4e2a53a33252a4c88e0a3d3e98c79ee2f0124148c7aa78daf811",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013236-n000004-0000-055b53c59d529831.parquet",
-      "sha256": "055b53c59d529831f746edfc18d53f7f1201a2254013cfddf7b2c845bf80df22",
-      "bytes": 101601,
-      "rows": 9,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013236-n000004-0000-73e0434bf2af0e4b.parquet",
-      "sha256": "73e0434bf2af0e4bb99405c4c588490f9f4266ddd5351a271810849469ae05ae",
-      "bytes": 46154,
-      "rows": 5,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13236",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13237",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013237.lean\",\"9c40669342d8b36987f57fc5582315b400ba978745ddc89077a936f4be85b957\",0,\"lean_workbook_plus_30776\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013238.lean\",\"86d20702f2a1fac3a8740ccfc9616bd54b87abe2069a316d44fbdc629a5f8d15\",0,\"lean_workbook_plus_25436\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013239.lean\",\"027ffe5504e716fcac053c9ff08690828c1e0634c5df6272077d0e4e28761ae4\",0,\"lean_workbook_plus_33264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101601,
+      "path": "data/train/p68/oproofs-s00002-r00013236-n000004-0000-055b53c59d529831.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "055b53c59d529831f746edfc18d53f7f1201a2254013cfddf7b2c845bf80df22"
+    },
+    {
+      "bytes": 46154,
+      "path": "data/internal_test/p68/oproofs-s00002-r00013236-n000004-0000-73e0434bf2af0e4b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "73e0434bf2af0e4bb99405c4c588490f9f4266ddd5351a271810849469ae05ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013240-n000004.json b/manifests/batches/oproofs/s00002-r00013240-n000004.json
index 22878b51b7ca1572d8d24414f1a5df987d35f2a9..9536350f8cc9b13442b2fb0165c05405a0afcdb5 100644
--- a/manifests/batches/oproofs/s00002-r00013240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013240-n000004",
   "batch_fingerprint": "69636ba1db4953af763e7c19642876b8aef759f4b260ea74d651a9c622b99ce1",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13240",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13241",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13242",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13243"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013240.lean\",\"f7fe57a0e41bd34e109a39c716714ca101d50e4d74b7a79a64986c53247327f9\",0,\"lean_workbook_plus_80435\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013241.lean\",\"85eefa6c11221a0b5e7202bc3c4929cad8ed6bbf99c66496adc3ba4a2955b8d5\",0,\"lean_workbook_plus_69866\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013242.lean\",\"6baaa54e1fa52280a582b58f4a09b494dee174bd070ab2c01f2b2e571a4bc5c3\",0,\"lean_workbook_plus_36384\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013243.lean\",\"eafba3151fd91e1024c1ce787eb1cdf5474a4e0f59518d2c4f027ab5bfd91366\",0,\"lean_workbook_plus_23981\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013240-n000004-0000-fc0054f98a49ddbc.parquet",
-      "sha256": "fc0054f98a49ddbc151f4f2533a53090fdfbbd9c5ecdfa5c52f2972f5748b446",
       "bytes": 200204,
+      "path": "data/train/pd0/oproofs-s00002-r00013240-n000004-0000-fc0054f98a49ddbc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
+      "sha256": "fc0054f98a49ddbc151f4f2533a53090fdfbbd9c5ecdfa5c52f2972f5748b446"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013240-n000004-0000-15aa6f9c3c1aa81d.parquet",
-      "sha256": "15aa6f9c3c1aa81dcb7b12f9f5e7f222c22ddd596538f2277b827ac2f3c7f1bd",
       "bytes": 31836,
+      "path": "data/dev/pd0/oproofs-s00002-r00013240-n000004-0000-15aa6f9c3c1aa81d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
+      "sha256": "15aa6f9c3c1aa81dcb7b12f9f5e7f222c22ddd596538f2277b827ac2f3c7f1bd"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013240-n000004-0000-2bd778c083ade3f6.parquet",
-      "sha256": "2bd778c083ade3f6ca6e260a7bc9309d396832b12f35299403cd27d8ecdee19c",
       "bytes": 91397,
+      "path": "data/internal_test/pd0/oproofs-s00002-r00013240-n000004-0000-2bd778c083ade3f6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
+      "sha256": "2bd778c083ade3f6ca6e260a7bc9309d396832b12f35299403cd27d8ecdee19c"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13240",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13241",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13242",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13243"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013240.lean\",\"f7fe57a0e41bd34e109a39c716714ca101d50e4d74b7a79a64986c53247327f9\",0,\"lean_workbook_plus_80435\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013241.lean\",\"85eefa6c11221a0b5e7202bc3c4929cad8ed6bbf99c66496adc3ba4a2955b8d5\",0,\"lean_workbook_plus_69866\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013242.lean\",\"6baaa54e1fa52280a582b58f4a09b494dee174bd070ab2c01f2b2e571a4bc5c3\",0,\"lean_workbook_plus_36384\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013243.lean\",\"eafba3151fd91e1024c1ce787eb1cdf5474a4e0f59518d2c4f027ab5bfd91366\",0,\"lean_workbook_plus_23981\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013244-n000004.json b/manifests/batches/oproofs/s00002-r00013244-n000004.json
index 9d0c219f030d8eba2d076fed3fe6dee288a3c8df..7a40acf324bfb006aba03f898cc253d296e5d1f3 100644
--- a/manifests/batches/oproofs/s00002-r00013244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013244-n000004",
   "batch_fingerprint": "2782dd18aec7f1e7e9f6bb4c0775cf8d7b6f52e1e563531edfa1b38ad02875a8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013244-n000004-0000-80a40fbf2ac2e5c8.parquet",
-      "sha256": "80a40fbf2ac2e5c85c0d74b98ac53394516530d61935a4e508d457d39865d18a",
-      "bytes": 241713,
-      "rows": 17,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13245",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013245.lean\",\"6aa3a6ecbc1d677d2701ac34f2bc9bc67c1fecdc2652e3572b875d1639074730\",0,\"lean_workbook_plus_29860\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013246.lean\",\"737f342fa4e12d95f858108ed870693b2905e7d123102e29f69422cc3e8beff0\",0,\"lean_workbook_plus_6482\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013247.lean\",\"cbe044f1e015fbe5125e994a88082f7ec3e3f274d5469832505131d051e3cc4c\",0,\"lean_workbook_14875\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241713,
+      "path": "data/train/pdd/oproofs-s00002-r00013244-n000004-0000-80a40fbf2ac2e5c8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "80a40fbf2ac2e5c85c0d74b98ac53394516530d61935a4e508d457d39865d18a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013248-n000004.json b/manifests/batches/oproofs/s00002-r00013248-n000004.json
index 251fcb25e2dc095c545adb3949f7bb10e399f431..c4b4149d4268f86d7fe0c75f8485b2ea8ff189b8 100644
--- a/manifests/batches/oproofs/s00002-r00013248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013248-n000004",
   "batch_fingerprint": "9ee073fff2cfde5d4f80053a973ab21c7df730ea622c31aaab9b5707d61956f5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013248-n000004-0000-9513919ac83ee1b9.parquet",
-      "sha256": "9513919ac83ee1b943291296848ca986866dbbc83988e7715c3196e7f429b8c8",
-      "bytes": 123005,
-      "rows": 10,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013248-n000004-0000-5ae3169dde173d8c.parquet",
-      "sha256": "5ae3169dde173d8c1893860e034f833147de0e770c8f3c414b134cf2a3024fa5",
-      "bytes": 87817,
-      "rows": 5,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13249",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013249.lean\",\"bf723fa98652a1de591211ed2341033112e17054547a6e0713b5cd4a64031e02\",0,\"lean_workbook_38996\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013250.lean\",\"eb942553ad8b58a4e6cf88380aed5a5bdebdbe0bc8cd148130c1d14b2215272a\",0,\"trapezoid_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013251.lean\",\"25c042c15bee7523c31c8d8cc3536f7e79ac47edb711708703fa43c5b015a8b7\",0,\"lean_workbook_plus_76071\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 123005,
+      "path": "data/train/p0d/oproofs-s00002-r00013248-n000004-0000-9513919ac83ee1b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9513919ac83ee1b943291296848ca986866dbbc83988e7715c3196e7f429b8c8"
+    },
+    {
+      "bytes": 87817,
+      "path": "data/dev/p0d/oproofs-s00002-r00013248-n000004-0000-5ae3169dde173d8c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "5ae3169dde173d8c1893860e034f833147de0e770c8f3c414b134cf2a3024fa5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013252-n000004.json b/manifests/batches/oproofs/s00002-r00013252-n000004.json
index a2b9bdacf7922592da255a5318176f7f8945fe76..29f789f7ee85d255229258aab9a24b189b1792bb 100644
--- a/manifests/batches/oproofs/s00002-r00013252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013252-n000004",
   "batch_fingerprint": "e896fa8d6e1e06cff2d86524e68264c2424c3e10a32402e98ceb5e00966d7f50",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013252-n000004-0000-2484cd8bcc714596.parquet",
-      "sha256": "2484cd8bcc714596bcb9e08ef636001947292a9567e8e1552adfdd30d8eb26eb",
-      "bytes": 105388,
-      "rows": 16,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013252-n000004-0000-f16adfd7e5f90836.parquet",
-      "sha256": "f16adfd7e5f908367f528ba3183695533a8532f1437d6e8e9bd130542680f4af",
-      "bytes": 208128,
-      "rows": 3,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13252",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13253",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013253.lean\",\"5921079f2e0c98a8a3dd56a4344e979fcc0e91ab1aa1f89f83859947ec213c0b\",0,\"lean_workbook_10335\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013254.lean\",\"b1d584b6511c0446e07351c178d9bbddb03d0b7c499eef8d30655147512f19da\",0,\"lean_workbook_plus_21340\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013255.lean\",\"9588efbf3d215264be7c7f43c1ab234dccecbf664783109ae85c4994ccf68d5e\",0,\"lean_workbook_25817\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105388,
+      "path": "data/train/p13/oproofs-s00002-r00013252-n000004-0000-2484cd8bcc714596.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "2484cd8bcc714596bcb9e08ef636001947292a9567e8e1552adfdd30d8eb26eb"
+    },
+    {
+      "bytes": 208128,
+      "path": "data/internal_test/p13/oproofs-s00002-r00013252-n000004-0000-f16adfd7e5f90836.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f16adfd7e5f908367f528ba3183695533a8532f1437d6e8e9bd130542680f4af"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013256-n000004.json b/manifests/batches/oproofs/s00002-r00013256-n000004.json
index 2beaf75e1f85ed7f8854b4b4c05a30454453037d..7656f32a6937953053d73996a304bffebd85a1d2 100644
--- a/manifests/batches/oproofs/s00002-r00013256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013256-n000004",
   "batch_fingerprint": "55b06464fb02bc8ee069edc6d52b9de0c5c00a491201625fa032b6f4c6a4175b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013256-n000004-0000-2d40cacdb32b97aa.parquet",
-      "sha256": "2d40cacdb32b97aafb2ee93566cbb1a843b9bdb3fafe61407ef8067a0d2ac87c",
-      "bytes": 209323,
-      "rows": 13,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013256-n000004-0000-9d20e54f1a886298.parquet",
-      "sha256": "9d20e54f1a88629817b1f719d8534ab5edb69b73fe865b4820ae5b356be7e845",
-      "bytes": 89127,
-      "rows": 6,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13257",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013257.lean\",\"726d361810855fab1c80088670e245839d63584275d0c63bf967a1a3181f8c8e\",0,\"lean_workbook_plus_36060\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013258.lean\",\"5a3355ca0132cd5f6718786c3ce112f3f9cd478736e5002687662e5b91577793\",0,\"lean_workbook_plus_67407\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013259.lean\",\"1e86ec91ab388910b05fbc1728992ce5f71a8e9b8011930454cadec470f37a30\",0,\"lean_workbook_plus_16830\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209323,
+      "path": "data/train/pec/oproofs-s00002-r00013256-n000004-0000-2d40cacdb32b97aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2d40cacdb32b97aafb2ee93566cbb1a843b9bdb3fafe61407ef8067a0d2ac87c"
+    },
+    {
+      "bytes": 89127,
+      "path": "data/internal_test/pec/oproofs-s00002-r00013256-n000004-0000-9d20e54f1a886298.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "9d20e54f1a88629817b1f719d8534ab5edb69b73fe865b4820ae5b356be7e845"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013260-n000004.json b/manifests/batches/oproofs/s00002-r00013260-n000004.json
index 6ebddb0b5d0e0a578e29bf4cf9803ca2c7c57807..900cee932f3fe4a86886f416546f540d343d8d00 100644
--- a/manifests/batches/oproofs/s00002-r00013260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013260-n000004",
   "batch_fingerprint": "9c72d5043c5c7a6e4ca96c90b5f4953825b05b35ded9c26068ab1883ebf0e65d",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013260-n000004-0000-a22b66dedb276d05.parquet",
-      "sha256": "a22b66dedb276d054cfb4039c38d6905cdf380c56898c006c46006a0b7c9c0d5",
-      "bytes": 102816,
-      "rows": 11,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13260",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13261",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013260.lean\",\"8769463884a16c738a1cf92415dc533b2abf843256d07cc7029a96a3dc0f6211\",0,\"squares_trapezoid_area\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013261.lean\",\"c22fe16d006701c5d17282b2f7371327dac14e40a1a15061af5b03c79b92b352\",0,\"andy_late_to_school\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013263.lean\",\"0e7a69cdee1abdc782833c3616faaf4b4e50db00f4967bf4433a703915ced207\",0,\"lean_workbook_plus_2784\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102816,
+      "path": "data/train/p67/oproofs-s00002-r00013260-n000004-0000-a22b66dedb276d05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "a22b66dedb276d054cfb4039c38d6905cdf380c56898c006c46006a0b7c9c0d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013264-n000004.json b/manifests/batches/oproofs/s00002-r00013264-n000004.json
index d9ee1169d036de64a7bd4b774cf3ba0e0060cec3..61fabfc21c281f77d9089f45f1828f6c506a82bf 100644
--- a/manifests/batches/oproofs/s00002-r00013264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013264-n000004",
   "batch_fingerprint": "333622e19d338fe46e1647169ae53d9979080580bfe12d509af6021547883d0a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013264-n000004-0000-6f6f140f4b540bcc.parquet",
-      "sha256": "6f6f140f4b540bccef146022a560c4990e305773bf2f30f0353f14ced3140fc8",
-      "bytes": 363702,
-      "rows": 22,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013264-n000004-0000-df7fe793892b57f2.parquet",
-      "sha256": "df7fe793892b57f2264d9d8a89fd72fa1320100205b69f5298bce50062c8195c",
-      "bytes": 112272,
-      "rows": 5,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13264",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13265",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013265.lean\",\"722ad7c70952caa3d022ca4b8eacb25f50da099f61f6b70b90530961b92613d1\",0,\"lean_workbook_plus_12186\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013266.lean\",\"043721c403f8308e88acfb50f920408d9b0bfc2adc5147d87086d65872f80177\",0,\"lean_workbook_plus_22111\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013267.lean\",\"b8bc84dcf47d0e501eecff4b0c2350555893944f43a091a153e4b10f6f868762\",0,\"lean_workbook_plus_30323\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 363702,
+      "path": "data/train/pcb/oproofs-s00002-r00013264-n000004-0000-6f6f140f4b540bcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6f6f140f4b540bccef146022a560c4990e305773bf2f30f0353f14ced3140fc8"
+    },
+    {
+      "bytes": 112272,
+      "path": "data/dev/pcb/oproofs-s00002-r00013264-n000004-0000-df7fe793892b57f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "df7fe793892b57f2264d9d8a89fd72fa1320100205b69f5298bce50062c8195c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013268-n000004.json b/manifests/batches/oproofs/s00002-r00013268-n000004.json
index cc88ce479195551c5b1332065ba20d8b3c8516ed..8174818e6117a11cfb0a559f91ce416bc94367a0 100644
--- a/manifests/batches/oproofs/s00002-r00013268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013268-n000004",
   "batch_fingerprint": "0c7c291e6b605bc90f47edf1ddca17af16ba92ff0446fdeaa9b494dd6c73e226",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013268-n000004-0000-5b46bebd3311a24b.parquet",
-      "sha256": "5b46bebd3311a24be3929dfba4c79915b37253b195b6be2518a1dfbe840b3366",
-      "bytes": 845183,
-      "rows": 25,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00013268-n000004-0001-29d52e11eb9c7533.parquet",
-      "sha256": "29d52e11eb9c753337f3414a60ecba01de7249c57092ec572429afedf5e2d532",
-      "bytes": 724784,
-      "rows": 22,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13269",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013269.lean\",\"91f6f78328131f706a7d0078b24347dcd988ebf149ef969c0d201d81332642ac\",0,\"lean_workbook_plus_24764\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013270.lean\",\"f4e7ddd33ad7f651944e4a1e3f1697d2b9dba7950b0be2542e4f04aa137ee2f6\",0,\"lean_workbook_33451\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013271.lean\",\"4286592e2706dd40e225a9ac7d09aee2c565d1b65470a556f68509148c3512ee\",0,\"lean_workbook_47449\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 845183,
+      "path": "data/train/p47/oproofs-s00002-r00013268-n000004-0000-5b46bebd3311a24b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5b46bebd3311a24be3929dfba4c79915b37253b195b6be2518a1dfbe840b3366"
+    },
+    {
+      "bytes": 724784,
+      "path": "data/train/p47/oproofs-s00002-r00013268-n000004-0001-29d52e11eb9c7533.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "29d52e11eb9c753337f3414a60ecba01de7249c57092ec572429afedf5e2d532"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013272-n000004.json b/manifests/batches/oproofs/s00002-r00013272-n000004.json
index fba8a1ec983347f244c72d0c9a52eadf95b8dda6..3e003dec2680fbeb511b06f0a7bf4903d25b2063 100644
--- a/manifests/batches/oproofs/s00002-r00013272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013272-n000004",
   "batch_fingerprint": "dc135326e428a73b38528261ee3e58a467c0a414c69cc6d635531a107acb5145",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013272-n000004-0000-93b5d9b259f2b44d.parquet",
-      "sha256": "93b5d9b259f2b44d7170bc3ad28e55ba432b7cc0421514ff2c2fda94d062bb77",
-      "bytes": 160691,
-      "rows": 18,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13273",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013273.lean\",\"0555462edb635317adbb6b4236048718de04557190b53f3908217a52c1b362f8\",0,\"lean_workbook_plus_20224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013274.lean\",\"867a4cc606efed4523bccd5ee07dc1a45414f33b6c5ba4df3661d241f62245f0\",0,\"lean_workbook_plus_32592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013275.lean\",\"179645bac3769277c90d85f556e2906d2f789cacea4c8328f09eaccd2e8d05c5\",0,\"lean_workbook_plus_8108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 160691,
+      "path": "data/train/p82/oproofs-s00002-r00013272-n000004-0000-93b5d9b259f2b44d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "93b5d9b259f2b44d7170bc3ad28e55ba432b7cc0421514ff2c2fda94d062bb77"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013276-n000004.json b/manifests/batches/oproofs/s00002-r00013276-n000004.json
index 062cfe1815d0285e18580d597228ea4a9fcbca0d..7c1aa50baaa45a861648f403a326cf809c969964 100644
--- a/manifests/batches/oproofs/s00002-r00013276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013276-n000004",
   "batch_fingerprint": "3533f867451409b5f1d2a6bc8f843ea8a9c4335c8ecb291108eed9a2b1f56680",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013276-n000004-0000-be9926d028831a64.parquet",
-      "sha256": "be9926d028831a64c496b34d31e296eec4e53b11ab7764c7f6b124afb4f21170",
-      "bytes": 136715,
-      "rows": 18,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13276",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13277",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013277.lean\",\"a3b858091494e2cadb28bc1f60d68e588bc2347870e7091b02f43624e41b50b4\",0,\"lean_workbook_46297\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013278.lean\",\"936a8f61df8ae1e13244b621c1291e7df88e20d167327084e54540cd2e368d85\",0,\"lean_workbook_plus_80092\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013279.lean\",\"5874a1005feac2a736d12d21693fc2b8f6e9416d5c1bc219e1ffcc4ddf141e41\",0,\"lean_workbook_27511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136715,
+      "path": "data/train/pb0/oproofs-s00002-r00013276-n000004-0000-be9926d028831a64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "be9926d028831a64c496b34d31e296eec4e53b11ab7764c7f6b124afb4f21170"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013280-n000004.json b/manifests/batches/oproofs/s00002-r00013280-n000004.json
index 2b6fe639f49f9f2e4dd6fb29c220ce6f27d7677e..a99b90dbda531a07518e9f3da99eb92f32b25af9 100644
--- a/manifests/batches/oproofs/s00002-r00013280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013280-n000004",
   "batch_fingerprint": "98c5bc7b05992e186dfb4cab6cdaff675131d1f01405b437bd2caa31871b05c7",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013280-n000004-0000-bc5357fb555d0a50.parquet",
-      "sha256": "bc5357fb555d0a502b647097b12a83fb555939fd35877ef1711ac48bb69bbe35",
-      "bytes": 93446,
-      "rows": 8,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013280-n000004-0000-e57ef531807dd6f2.parquet",
-      "sha256": "e57ef531807dd6f2fa03d834287f1e52621623025c89181b90b3ea072947d54d",
-      "bytes": 170349,
-      "rows": 11,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013281.lean\",\"3dd615e7d11ed8fbf579050eb71cd4d0b613570486b91207cc0252b892d4e130\",0,\"lean_workbook_plus_38405\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013282.lean\",\"1f9ef44ca302acd6b7bdf874563bc5e25d8fe6bba82d49a7f349c5ee203fb26c\",0,\"lean_workbook_48047\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013283.lean\",\"2f7b397b085bfb69fff221aab7f7979c5a76e313d7b13493b325c4488da7123d\",0,\"lean_workbook_plus_80702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93446,
+      "path": "data/train/pcc/oproofs-s00002-r00013280-n000004-0000-bc5357fb555d0a50.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "bc5357fb555d0a502b647097b12a83fb555939fd35877ef1711ac48bb69bbe35"
+    },
+    {
+      "bytes": 170349,
+      "path": "data/dev/pcc/oproofs-s00002-r00013280-n000004-0000-e57ef531807dd6f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "e57ef531807dd6f2fa03d834287f1e52621623025c89181b90b3ea072947d54d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013284-n000004.json b/manifests/batches/oproofs/s00002-r00013284-n000004.json
index 757ef92a2d535730d698fdb31e97dd486ac77684..18caa60e24a0468e3858f3311058779a17286ecd 100644
--- a/manifests/batches/oproofs/s00002-r00013284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013284-n000004",
   "batch_fingerprint": "e28babf58eef6f06808af53906a942fd530635b3c16d446163cbe830886ab42c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013284-n000004-0000-0d15b6d185208e54.parquet",
-      "sha256": "0d15b6d185208e545a46de7173dab6245392bad74e0d54573b4b258af98f8e87",
-      "bytes": 1380607,
-      "rows": 11,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00013284-n000004-0001-376a0b19858d8a1d.parquet",
-      "sha256": "376a0b19858d8a1d90370a13e5fb847367d5365c563d2ed85eff6e97b3df0371",
-      "bytes": 86038,
-      "rows": 8,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013285.lean\",\"71a4ca501820f005b800b66c4a5199b8d8253c68f3a856f171518aaab201df5f\",0,\"cos_monotone_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013286.lean\",\"ec03f6b0d5d29ab17aad26be92300625e393ea72f3251511bb8386863f9b1c27\",0,\"lean_workbook_plus_12023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013287.lean\",\"6ec731a5b8637ba3a522a99bfa1218ef5a7d2d024d1d8258c1bd6d9016424ce8\",0,\"lean_workbook_51869\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1380607,
+      "path": "data/train/p62/oproofs-s00002-r00013284-n000004-0000-0d15b6d185208e54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "0d15b6d185208e545a46de7173dab6245392bad74e0d54573b4b258af98f8e87"
+    },
+    {
+      "bytes": 86038,
+      "path": "data/train/p62/oproofs-s00002-r00013284-n000004-0001-376a0b19858d8a1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "376a0b19858d8a1d90370a13e5fb847367d5365c563d2ed85eff6e97b3df0371"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013288-n000004.json b/manifests/batches/oproofs/s00002-r00013288-n000004.json
index c0513cd7eff6407e31233ac51057359f8b7f3cab..98c5ed17286e1dcdee5141e521c7960e946598cc 100644
--- a/manifests/batches/oproofs/s00002-r00013288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013288-n000004",
   "batch_fingerprint": "857bbeb12e5c0b9e0cc30ac083e354e71adaaaa65d32882e4651c079e9add011",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013288-n000004-0000-197184b0af1ee83d.parquet",
-      "sha256": "197184b0af1ee83da687143ff1e118adeaa58cd96b9d513346f415d3a2d70d7f",
-      "bytes": 456462,
-      "rows": 12,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013288-n000004-0000-b5ce1ad7f98f2b64.parquet",
-      "sha256": "b5ce1ad7f98f2b64e773253aa916fc2670e1f7030237c6898986b3cddf022149",
-      "bytes": 68923,
-      "rows": 3,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13289",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013289.lean\",\"5f37c574389a8350c99fff2ae9548ed1cc6f1eb734deb8c5836edda98b9acfec\",0,\"lean_workbook_23036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013290.lean\",\"2684f08e4e78e75826cc2db30fd8aa8352d1abe88bbf690e39060c93f2d4f788\",0,\"lean_workbook_plus_79369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013291.lean\",\"1d7bb0493500b2afe36eb842d2597c680d8adf4240927ce5b39a9f05648b7964\",0,\"lean_workbook_33327\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 456462,
+      "path": "data/train/p48/oproofs-s00002-r00013288-n000004-0000-197184b0af1ee83d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "197184b0af1ee83da687143ff1e118adeaa58cd96b9d513346f415d3a2d70d7f"
+    },
+    {
+      "bytes": 68923,
+      "path": "data/internal_test/p48/oproofs-s00002-r00013288-n000004-0000-b5ce1ad7f98f2b64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b5ce1ad7f98f2b64e773253aa916fc2670e1f7030237c6898986b3cddf022149"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013292-n000004.json b/manifests/batches/oproofs/s00002-r00013292-n000004.json
index c01e531028919a8d27f040cbe7c6c0734a185c33..8217ce845bc4ca7835f61555848c284259213488 100644
--- a/manifests/batches/oproofs/s00002-r00013292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013292-n000004",
   "batch_fingerprint": "569bb4311612a8dba59bd5ffbea9ea48ee7b4650a15aa4fe84e041ce085ea537",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013292-n000004-0000-db10d38ddebe44a7.parquet",
-      "sha256": "db10d38ddebe44a7a79d991adbd69fba4ed52f88d8dd482397c1bcbcf853db18",
-      "bytes": 398774,
-      "rows": 22,
-      "revision": "bc3fc88ab7230c8d99cde6dab36774bdec3c8604"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13293",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013293.lean\",\"68b622c4c8399a4d56c9e0891a22210aa4c029eee7235bca05ff048c548b5499\",0,\"lean_workbook_24681\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013294.lean\",\"df825b6910154b8427c51967cc50e609f7f51ee1a5b02c619d2cf8d3b3ad0888\",0,\"lean_workbook_plus_72381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013295.lean\",\"9f5fd8ec59b9158c2748e88d6706215db47ffe01255696de35ab6f22ab390331\",0,\"lean_workbook_plus_5355\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398774,
+      "path": "data/train/pd5/oproofs-s00002-r00013292-n000004-0000-db10d38ddebe44a7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "db10d38ddebe44a7a79d991adbd69fba4ed52f88d8dd482397c1bcbcf853db18"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013296-n000004.json b/manifests/batches/oproofs/s00002-r00013296-n000004.json
index 7a3ccc76e3cae2477b235f86b7dd9408390eccc1..6db32be782b76d432c1f699d88269ef7bfa19743 100644
--- a/manifests/batches/oproofs/s00002-r00013296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013296-n000004",
   "batch_fingerprint": "77f3d694645b6c6fd4aa33ade0453af8352e8f50bc14d714cc56af973df4c0f6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013296-n000004-0000-d8f07839db57506f.parquet",
-      "sha256": "d8f07839db57506f3f6ef98c3e5a2e82b537532baec44816291bb47fc0c01435",
-      "bytes": 301931,
-      "rows": 13,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013296-n000004-0000-1768414bd6539cb8.parquet",
-      "sha256": "1768414bd6539cb872ea50b3949fdfe0554b1f6b645266badee8e45436326ad3",
-      "bytes": 28164,
-      "rows": 2,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13297",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013297.lean\",\"5b6e178828e76c085cecb76b5272194bee892e49cafc5c6653771b21d48593c3\",0,\"lean_workbook_2854\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013298.lean\",\"26fe13eaa4e0ac900f93eb0b122e16eb6889c5cd6ebd93595cb7ba78e9b25783\",0,\"lean_workbook_plus_35620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013299.lean\",\"a9151eef104863d35cd14dc2fdea5793e22e9f74384d09b88b41c6151da22ee1\",0,\"lean_workbook_plus_65380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301931,
+      "path": "data/train/pe4/oproofs-s00002-r00013296-n000004-0000-d8f07839db57506f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d8f07839db57506f3f6ef98c3e5a2e82b537532baec44816291bb47fc0c01435"
+    },
+    {
+      "bytes": 28164,
+      "path": "data/dev/pe4/oproofs-s00002-r00013296-n000004-0000-1768414bd6539cb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1768414bd6539cb872ea50b3949fdfe0554b1f6b645266badee8e45436326ad3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013300-n000004.json b/manifests/batches/oproofs/s00002-r00013300-n000004.json
index 3388c1a4c7812c9c816894040d6930743cfbb242..b7bc674dc327aebf8a105d16110115b0f0613743 100644
--- a/manifests/batches/oproofs/s00002-r00013300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013300-n000004",
   "batch_fingerprint": "96031a739263beee8407700231f01c665eeaedcdec94e985a6aeab701f36d87a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013300-n000004-0000-4cebbe802cef888d.parquet",
-      "sha256": "4cebbe802cef888d684926458f21dbbf295117e3bcc4532da95f3a6b7f754662",
-      "bytes": 270414,
-      "rows": 30,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13301",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013301.lean\",\"eea72ab82109095f9466aa189bd15fdd56bd2b770edc64a0976ac4b1dea3054e\",0,\"lean_workbook_plus_59151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013302.lean\",\"285782fc2286dcf041066fc3cac9e4fd79c8e03d8cce5b58d40aa6dfc3a81b1b\",0,\"lean_workbook_plus_17921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013303.lean\",\"67c37dd179e0d3c98055410ee322b505c8400a3797872d544438164173d968fd\",0,\"detour_speed_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 270414,
+      "path": "data/train/peb/oproofs-s00002-r00013300-n000004-0000-4cebbe802cef888d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "4cebbe802cef888d684926458f21dbbf295117e3bcc4532da95f3a6b7f754662"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013304-n000004.json b/manifests/batches/oproofs/s00002-r00013304-n000004.json
index ec326540b594ebc9cb98189070ff77f06b822fe7..b481e73d09bebacff15652d4e84839c6675272db 100644
--- a/manifests/batches/oproofs/s00002-r00013304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013304-n000004",
   "batch_fingerprint": "106a3b7e9c5a9cd7a795fd4d212bde8ab42d00fd41fb4a50257c7208353b8cd9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013304-n000004-0000-963bf1c84c449a42.parquet",
-      "sha256": "963bf1c84c449a42aaf3a445dd10be12c0dbf274c32b4c4d96b2a784498d1317",
-      "bytes": 533578,
-      "rows": 20,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013305.lean\",\"99fd17e9a03f8c8fb66ffc54a29ab02434bfb0a91bd84e1af04c0ad8d941c74a\",1,\"main_theorem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013306.lean\",\"ca14fb9fdb6dc4b860f82fc6fc080c2f65726e77176b87e4c41ff65ba0c5d9ff\",0,\"lean_workbook_plus_80396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013307.lean\",\"fde3638ea71b8589efd8ddab8f5f1cdc27f07cb4ce2d014cf20588bc2b95ab9a\",0,\"lean_workbook_plus_51461\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 533578,
+      "path": "data/train/pae/oproofs-s00002-r00013304-n000004-0000-963bf1c84c449a42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "963bf1c84c449a42aaf3a445dd10be12c0dbf274c32b4c4d96b2a784498d1317"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013308-n000004.json b/manifests/batches/oproofs/s00002-r00013308-n000004.json
index b5cfc0b23472c77a2937245ceb743af749b46d61..4deda0da8a45d047ec04e3f37cf1bd5de709d2e6 100644
--- a/manifests/batches/oproofs/s00002-r00013308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013308-n000004",
   "batch_fingerprint": "d673e09ba8ff0c5f49c205de47586f547ab7d3c137b5f432a7d463b290f02ae6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013308-n000004-0000-9a93dcdb9f43560e.parquet",
-      "sha256": "9a93dcdb9f43560e5b8d85897a3817dc2e1f5af54925dafea2cc7eb7b37ce6bc",
-      "bytes": 394636,
-      "rows": 17,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013308-n000004-0000-8c3296a06cbeb4d4.parquet",
-      "sha256": "8c3296a06cbeb4d4f3c9d035f76078032fc6a2ada8774729e481de086dcea184",
-      "bytes": 83167,
-      "rows": 2,
-      "revision": "685e59e4bafdeda9cb9069474dfbf44a8a582a5d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13309",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013309.lean\",\"bcfae04191df148047a92f3a0dfb5524d13379af24f1f155648cf39f8c5e0f32\",0,\"lean_workbook_plus_39025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013310.lean\",\"7f02f0defdd7384a0df74fff61d6a9cb5898ff03c1e395921247d02764c0aed0\",0,\"lean_workbook_plus_14531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013311.lean\",\"4f791d78cd2f0022977e830f7d64d2d058dbb95bda1e3846cbd3994c321d42a5\",0,\"lean_workbook_plus_74610\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 394636,
+      "path": "data/train/pde/oproofs-s00002-r00013308-n000004-0000-9a93dcdb9f43560e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "9a93dcdb9f43560e5b8d85897a3817dc2e1f5af54925dafea2cc7eb7b37ce6bc"
+    },
+    {
+      "bytes": 83167,
+      "path": "data/internal_test/pde/oproofs-s00002-r00013308-n000004-0000-8c3296a06cbeb4d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "8c3296a06cbeb4d4f3c9d035f76078032fc6a2ada8774729e481de086dcea184"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013312-n000004.json b/manifests/batches/oproofs/s00002-r00013312-n000004.json
index 69eda85e437689694c0ae79283965352913fddf3..bb010858fcdf6ffaaa7bc7d7f52fd2b1617b6f20 100644
--- a/manifests/batches/oproofs/s00002-r00013312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013312-n000004",
   "batch_fingerprint": "ac19b56e7c6040389556fb286f0dc656fa849fac1cff072b14fc5a03b847855a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013312-n000004-0000-641741667753a4e3.parquet",
-      "sha256": "641741667753a4e3d54df9243fcc5b72925a95f17f8143f2b4db3e91e33f665a",
-      "bytes": 501007,
-      "rows": 25,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13312",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13313",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013313.lean\",\"c481ef2e6203a1443a23137ab7baed863053702e891aab49d1465bfa54587769\",0,\"lean_workbook_31804\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013314.lean\",\"e09b5f25fd91f05972eb6eefef85dd815cbf6be421c02aba4aad09eb56cb63e1\",0,\"lean_workbook_plus_5096\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013315.lean\",\"eb21b5b1f52e042fac8be75fc9deba82121757f25d4361d9f9740183dfe99f28\",0,\"lean_workbook_18481\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 501007,
+      "path": "data/train/p3d/oproofs-s00002-r00013312-n000004-0000-641741667753a4e3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "641741667753a4e3d54df9243fcc5b72925a95f17f8143f2b4db3e91e33f665a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013316-n000004.json b/manifests/batches/oproofs/s00002-r00013316-n000004.json
index 89117c3c1abcd3b5af5e331732e62d717c45739f..bdb41dfe48e837aadde08c2b26713aa5f7de5165 100644
--- a/manifests/batches/oproofs/s00002-r00013316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013316-n000004",
   "batch_fingerprint": "6378cac9b75729c53ccfa76ddf5e2eccc05902e68c6f62ac8e31842d22de1fc0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013316-n000004-0000-3591c5d3205d93c6.parquet",
-      "sha256": "3591c5d3205d93c6eb794f60af8e40c5196f3c7808d1a5c1990d23ec7c2bfbe7",
-      "bytes": 81775,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013316-n000004-0000-a2060f0b03b4c2ea.parquet",
-      "sha256": "a2060f0b03b4c2ea2c6060f8c866a1ccdede6dca1fb6f550b19d26bd3befaaac",
-      "bytes": 113935,
-      "rows": 2,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13317",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013317.lean\",\"7cc99b97615c2434f27de74471fde30e4804b4517cf7bd611b6c09fcb46079ea\",0,\"lean_workbook_plus_22406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013318.lean\",\"1698fbd9dc71166595590ff6faa2d226792966faa0ea67b52254be2f1d60e409\",0,\"lean_workbook_plus_57287\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013319.lean\",\"feb627d1e1c089bc93774cbe5649ec7d28f21f139ea45784ad5a94912baaf879\",0,\"lean_workbook_17107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 81775,
+      "path": "data/train/p8a/oproofs-s00002-r00013316-n000004-0000-3591c5d3205d93c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "3591c5d3205d93c6eb794f60af8e40c5196f3c7808d1a5c1990d23ec7c2bfbe7"
+    },
+    {
+      "bytes": 113935,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00013316-n000004-0000-a2060f0b03b4c2ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a2060f0b03b4c2ea2c6060f8c866a1ccdede6dca1fb6f550b19d26bd3befaaac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013320-n000004.json b/manifests/batches/oproofs/s00002-r00013320-n000004.json
index 254b1c138caab82c3ec337562225ed043c268046..1f7157286470340c8ceabc42c7a9a3099f81a2fe 100644
--- a/manifests/batches/oproofs/s00002-r00013320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013320-n000004",
   "batch_fingerprint": "e381b71c6e981b50cd6078d59a8a022ccbba3cd2b0ce08e5f52a60d5a8cd2923",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13320",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13321",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13322",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13323"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013320.lean\",\"3ab11cbc5af947c6eb9eee542b2462ceee77f8b26f4be845f891bf617584c58e\",0,\"lean_workbook_plus_12844\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013321.lean\",\"f49c49ede7956762f37153d0776d982bcfc18b67346597b81348c9b904f758b0\",0,\"lean_workbook_plus_12074\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013322.lean\",\"b514d7d543076915a6e19a758c7d82f85d790eb371d8f5445c6e92c946691b7f\",0,\"lean_workbook_plus_57931\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013323.lean\",\"b44225bc4ed5e5da35f06a7dbd33f5f53ed43bebb6ddd0fc76b99b94b10075a6\",0,\"lean_workbook_plus_26230\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013320-n000004-0000-999fcf8fa39b1232.parquet",
-      "sha256": "999fcf8fa39b1232f7e4d91890c21f86669bf2346da94400678805c9a9a7fc80",
       "bytes": 52290,
+      "path": "data/train/p08/oproofs-s00002-r00013320-n000004-0000-999fcf8fa39b1232.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "999fcf8fa39b1232f7e4d91890c21f86669bf2346da94400678805c9a9a7fc80"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013320-n000004-0000-11bec8ced4f45cb0.parquet",
-      "sha256": "11bec8ced4f45cb066dd4ad88468ca45783a409314b9919fdd5a1370a5b802ea",
       "bytes": 56605,
+      "path": "data/dev/p08/oproofs-s00002-r00013320-n000004-0000-11bec8ced4f45cb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "11bec8ced4f45cb066dd4ad88468ca45783a409314b9919fdd5a1370a5b802ea"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013320-n000004-0000-cef70bc8462b6d66.parquet",
-      "sha256": "cef70bc8462b6d668d3e3129272b8f9e1c675524d8452e0cae5bd29cbc283308",
       "bytes": 65660,
+      "path": "data/internal_test/p08/oproofs-s00002-r00013320-n000004-0000-cef70bc8462b6d66.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "cef70bc8462b6d668d3e3129272b8f9e1c675524d8452e0cae5bd29cbc283308"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13320",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13321",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13322",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13323"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013320.lean\",\"3ab11cbc5af947c6eb9eee542b2462ceee77f8b26f4be845f891bf617584c58e\",0,\"lean_workbook_plus_12844\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013321.lean\",\"f49c49ede7956762f37153d0776d982bcfc18b67346597b81348c9b904f758b0\",0,\"lean_workbook_plus_12074\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013322.lean\",\"b514d7d543076915a6e19a758c7d82f85d790eb371d8f5445c6e92c946691b7f\",0,\"lean_workbook_plus_57931\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013323.lean\",\"b44225bc4ed5e5da35f06a7dbd33f5f53ed43bebb6ddd0fc76b99b94b10075a6\",0,\"lean_workbook_plus_26230\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013324-n000004.json b/manifests/batches/oproofs/s00002-r00013324-n000004.json
index dfe7452b97b0c8bfff72bdd1be7d899791f4bf23..e86bfb82b9f91412ae57fd8dd1adc06bdbf4c695 100644
--- a/manifests/batches/oproofs/s00002-r00013324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013324-n000004",
   "batch_fingerprint": "9631b66599689ac8378f639f5f61769002755ecedd0a0299d7fd792a9f6b72dc",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013324-n000004-0000-e7504614b2ea3503.parquet",
-      "sha256": "e7504614b2ea35039ba936bfd3a893b490cfe3534159a3439eda89732887510a",
-      "bytes": 64854,
-      "rows": 5,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013324-n000004-0000-5f57e2fba196d76b.parquet",
-      "sha256": "5f57e2fba196d76b13627f9b2c81deae30779226e8106c1a7122dad29f2650da",
-      "bytes": 292417,
-      "rows": 6,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13325",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013325.lean\",\"95a0f156f19f0a7bfba36954dd33f064b7748d763876b0e1cd9d7556e051d5a6\",0,\"lean_workbook_plus_54101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013326.lean\",\"fe6e3a1789d562ca2b38f9ab03986099fea73ce261b80cc628d528aed185ee2b\",0,\"lean_workbook_plus_26628\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013327.lean\",\"b2cc58e98a4f90b7ec9f3225dc25fb6fccbbd3775a06dd80becd0b5221b292dd\",0,\"lean_workbook_3745\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 64854,
+      "path": "data/train/p72/oproofs-s00002-r00013324-n000004-0000-e7504614b2ea3503.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e7504614b2ea35039ba936bfd3a893b490cfe3534159a3439eda89732887510a"
+    },
+    {
+      "bytes": 292417,
+      "path": "data/internal_test/p72/oproofs-s00002-r00013324-n000004-0000-5f57e2fba196d76b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5f57e2fba196d76b13627f9b2c81deae30779226e8106c1a7122dad29f2650da"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013328-n000004.json b/manifests/batches/oproofs/s00002-r00013328-n000004.json
index c8c88c8cc3ceb518022753962933294fc9ad7b94..7e75be0b3a02fcb1f8276f2faefb312b32d5ddd6 100644
--- a/manifests/batches/oproofs/s00002-r00013328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013328-n000004",
   "batch_fingerprint": "2e9529ea5db99061eb4947eb69b817cc920d48f0b797e66d082bd454ac40f9d5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013328-n000004-0000-fcaaf75b3297854f.parquet",
-      "sha256": "fcaaf75b3297854f6efed355de55d61d5e736ded34d7fd584da848151314fa32",
-      "bytes": 193550,
-      "rows": 15,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13329",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013329.lean\",\"2c008da6d77f41c8453a6f2688d4a1cf45e818d504f167507b163b7e982cadbf\",0,\"lean_workbook_plus_10803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013330.lean\",\"f897e031b5fb2231e17444bfa04adce33bd7d5395a3590da6bb7bb050d874344\",0,\"lean_workbook_plus_64147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013331.lean\",\"0c04db90ff764e9d90fa8683c585ad1dc15d91ce679afcb92b06e1fd0a3f41fd\",0,\"lean_workbook_plus_76803\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 193550,
+      "path": "data/train/p00/oproofs-s00002-r00013328-n000004-0000-fcaaf75b3297854f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "fcaaf75b3297854f6efed355de55d61d5e736ded34d7fd584da848151314fa32"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013332-n000004.json b/manifests/batches/oproofs/s00002-r00013332-n000004.json
index 72f67e544b877a1a51d353e35f83af326df36b7a..1a6224588617c11d4c022d89007cb4a321ff274d 100644
--- a/manifests/batches/oproofs/s00002-r00013332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013332-n000004",
   "batch_fingerprint": "f50badb23f25f683c257edfacf9c9d01b021dd45c9b9a08576ebd4d59fdedb46",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013332-n000004-0000-881b2e219049a1db.parquet",
-      "sha256": "881b2e219049a1dbf6bb809701a0e09ea43306e84c3a30844e87dc13932d4a3a",
-      "bytes": 222697,
-      "rows": 23,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13333",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013333.lean\",\"78be61f3858be7c34f217f41379ace33b58975eb173a943b74739e2eb4d55fd6\",0,\"rational_inequality_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013334.lean\",\"6824f5db78e7a2a86f531936a5e3bee3c042b6fec5d0b44e77054e19dbebf235\",0,\"lean_workbook_plus_25139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013335.lean\",\"0c0a04ab5ac0176f549ae55b612d7bc0733e967f13d77120ea02c9c72685d4ca\",0,\"lean_workbook_19803\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 222697,
+      "path": "data/train/pe0/oproofs-s00002-r00013332-n000004-0000-881b2e219049a1db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "881b2e219049a1dbf6bb809701a0e09ea43306e84c3a30844e87dc13932d4a3a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013336-n000004.json b/manifests/batches/oproofs/s00002-r00013336-n000004.json
index c04a66221e43660536c1c259f329f2d084921c40..34f3c58f6934d2e35a5adf0f4478fdb0f08ba82e 100644
--- a/manifests/batches/oproofs/s00002-r00013336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013336-n000004",
   "batch_fingerprint": "04f73c230c36815646d679d5d8e7842dce4705dd15561675821c390aa81c1c90",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013336-n000004-0000-c76da9f4b9f768ce.parquet",
-      "sha256": "c76da9f4b9f768cec149e512747f9b1c85f69c719893e76f8c6e0ba103c0aab3",
-      "bytes": 209921,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013336-n000004-0000-64f07c8b00e0f6f2.parquet",
-      "sha256": "64f07c8b00e0f6f21d88436c08ab363b6d1a1572c609f003832201350e393dfe",
-      "bytes": 68682,
-      "rows": 5,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13337",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013337.lean\",\"7c96aad267b24281477c827f36ca3a0d68d7da195f450f83fdfe094c1d3d136e\",0,\"lean_workbook_plus_37126\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013338.lean\",\"a39ad6c15c5447b1596166c7e22c628bc164e186c98d70740e0f0a7b3fb7fad7\",0,\"lean_workbook_plus_48663\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013339.lean\",\"8154f6e25ef40c2ae91eb38c0cba71263c3f62b3569c0c549e0c901c25c2ba4b\",0,\"lean_workbook_plus_44775\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209921,
+      "path": "data/train/p8e/oproofs-s00002-r00013336-n000004-0000-c76da9f4b9f768ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c76da9f4b9f768cec149e512747f9b1c85f69c719893e76f8c6e0ba103c0aab3"
+    },
+    {
+      "bytes": 68682,
+      "path": "data/dev/p8e/oproofs-s00002-r00013336-n000004-0000-64f07c8b00e0f6f2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "64f07c8b00e0f6f21d88436c08ab363b6d1a1572c609f003832201350e393dfe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013340-n000004.json b/manifests/batches/oproofs/s00002-r00013340-n000004.json
index 241e8bf5462d6ce9028b486943352751b0e233d6..107904cec2cd9e9da611fdcb305ddd4ae14b19bc 100644
--- a/manifests/batches/oproofs/s00002-r00013340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013340-n000004",
   "batch_fingerprint": "3c0f2c9c689de9631bef208ad9a5f7a4304d50233ced6bccfdfcd5b46c8b9a9f",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013340-n000004-0000-e5bae38423f7a531.parquet",
-      "sha256": "e5bae38423f7a531cd60ed6a36873cce588044f37d003c149a28709e96db3f5a",
-      "bytes": 202990,
-      "rows": 20,
-      "revision": "6f4a1d498d7b4e882799f002a223ce9b25809f97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13342",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013340.lean\",\"97c9fe24fb4881aac3aa1ad394a909ab38353d1f8541d2ffab0fe5f389b65603\",0,\"lean_workbook_plus_39212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013342.lean\",\"32786ebdf80ed37b09a09667c34d82213446c54477774572b1f7c4050e2eaf11\",0,\"lean_workbook_38940\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013343.lean\",\"bdcfa9203a155bf5a5f7f951e2bb86b71667d58c12fdd6315f126b5f2552f404\",0,\"lean_workbook_plus_70081\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202990,
+      "path": "data/train/pb3/oproofs-s00002-r00013340-n000004-0000-e5bae38423f7a531.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e5bae38423f7a531cd60ed6a36873cce588044f37d003c149a28709e96db3f5a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013344-n000004.json b/manifests/batches/oproofs/s00002-r00013344-n000004.json
index 52b6d0ab2be18d9be85fcf217b4042cafe1335c5..632f652a07c38824087f8bff6896e59720298ee0 100644
--- a/manifests/batches/oproofs/s00002-r00013344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013344-n000004",
   "batch_fingerprint": "e2f79f0b3d2796f93dba184ef61ee6f4c22277b6c5be3974ea5e303e48cf073f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013344-n000004-0000-2f9cdb1091615be8.parquet",
-      "sha256": "2f9cdb1091615be82e107748bbd7d6440679aaccb419d3ea1b76eba97df4ca47",
-      "bytes": 576458,
-      "rows": 21,
-      "revision": "6f4a1d498d7b4e882799f002a223ce9b25809f97"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013344-n000004-0000-744929298b790bf4.parquet",
-      "sha256": "744929298b790bf4e2c3bf3eef700252b182f0e670246ffb8ca604a5cbd80a9f",
-      "bytes": 671158,
-      "rows": 7,
-      "revision": "6f4a1d498d7b4e882799f002a223ce9b25809f97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13345",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013345.lean\",\"6149a4e3ca31c58b1f4d65a148262a83d3d433694d3aff0f059509d622786c94\",0,\"lean_workbook_14657\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013346.lean\",\"4194cf6ce98389412e807b20bddd26644fefc1a7ff970630491ea5a25cf9f643\",0,\"lean_workbook_plus_54648\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013347.lean\",\"55597f653d0713ed93565ef973c7fd2143ac98c37cefb38395ef4bbd42a6f362\",0,\"lean_workbook_plus_23972\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576458,
+      "path": "data/train/p2c/oproofs-s00002-r00013344-n000004-0000-2f9cdb1091615be8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "2f9cdb1091615be82e107748bbd7d6440679aaccb419d3ea1b76eba97df4ca47"
+    },
+    {
+      "bytes": 671158,
+      "path": "data/dev/p2c/oproofs-s00002-r00013344-n000004-0000-744929298b790bf4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "744929298b790bf4e2c3bf3eef700252b182f0e670246ffb8ca604a5cbd80a9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013348-n000004.json b/manifests/batches/oproofs/s00002-r00013348-n000004.json
index 6b63338e73765d66f381f5e81733f5b4e86d632d..e43351b283e72be94aca1e12b09335fe0cfc1d29 100644
--- a/manifests/batches/oproofs/s00002-r00013348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013348-n000004",
   "batch_fingerprint": "48056d6555915c02dc604e01399e2c1a8ea7dce8c8c7ae7ade39124f96cb731d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013348-n000004-0000-2bd56750aeacb60f.parquet",
-      "sha256": "2bd56750aeacb60f58d8638db94a15b019dbe3d3231a987275c9da3c7051cabd",
-      "bytes": 258342,
-      "rows": 10,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013348-n000004-0000-71fd556f0717046f.parquet",
-      "sha256": "71fd556f0717046fdc11d2fd9a03010ca8e213999d62d63304abe3d69bc9031d",
-      "bytes": 582982,
-      "rows": 3,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13348",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13349",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013349.lean\",\"5482309934d2f3a09981d860fb41ab4d6306562de5ecee644f3e8bc9270b1aac\",0,\"square_property_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013350.lean\",\"2ae57a31dae463136c7b7113b74a1f1cadb75c49cac7404f35f03fbd4bee86fd\",0,\"lean_workbook_plus_74229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013351.lean\",\"b56a2c9a5146329cedb10618350bf64e19d9c9a7996b58c4b2f346e36954b232\",0,\"lean_workbook_plus_74666\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 258342,
+      "path": "data/train/p87/oproofs-s00002-r00013348-n000004-0000-2bd56750aeacb60f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "2bd56750aeacb60f58d8638db94a15b019dbe3d3231a987275c9da3c7051cabd"
+    },
+    {
+      "bytes": 582982,
+      "path": "data/internal_test/p87/oproofs-s00002-r00013348-n000004-0000-71fd556f0717046f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "71fd556f0717046fdc11d2fd9a03010ca8e213999d62d63304abe3d69bc9031d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013352-n000004.json b/manifests/batches/oproofs/s00002-r00013352-n000004.json
index 3de0f19ad45606a2070465e5707b6069bd6c566b..a4ffebc882d6cac0b3b6d34d441f01ef4165c907 100644
--- a/manifests/batches/oproofs/s00002-r00013352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013352-n000004",
   "batch_fingerprint": "8b0e5f49654f2a249601903a6b4a0da5426c63dfc99b91ed29e57c6955eda7f3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013352-n000004-0000-08b189a826a60913.parquet",
-      "sha256": "08b189a826a60913d013fb6f33064f2f660eb3f755723e389e5afc9ba37166a8",
-      "bytes": 107768,
-      "rows": 8,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13353",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013353.lean\",\"fec4ec608f388b61c21c49a675c0b6552236e3e675d2b3117d411a2b52b80881\",0,\"lean_workbook_plus_25106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013354.lean\",\"610ccaca43489516dbe29e47d9977096b8db540e9e6aa29e5f5d0e86e4a561c7\",0,\"lean_workbook_plus_20224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013355.lean\",\"e574a6f1b0baa0beaf6b5281e545af440b3779339781d0812e09b0e4b4fac75e\",0,\"lean_workbook_plus_8108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 107768,
+      "path": "data/train/pdd/oproofs-s00002-r00013352-n000004-0000-08b189a826a60913.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "08b189a826a60913d013fb6f33064f2f660eb3f755723e389e5afc9ba37166a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013356-n000004.json b/manifests/batches/oproofs/s00002-r00013356-n000004.json
index a0c04f7e1bac86d7b19dbba124cdf455bcf74412..d0480b6c6d9d247c407cc1faab5bb4d9b9933b40 100644
--- a/manifests/batches/oproofs/s00002-r00013356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013356-n000004",
   "batch_fingerprint": "ca1e574bb28116ae8c89a10a227597199cf42fec980dc96e88d4cc33a3887192",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013356-n000004-0000-c40480ab040ce648.parquet",
-      "sha256": "c40480ab040ce6483d0c91ded777ac7d27f62531b10a58a9e5719771df092071",
-      "bytes": 128812,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13357",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013357.lean\",\"3c08150c9afd702c060927f8b561b218370b405637054be39f7a3f4105dff64b\",0,\"lean_workbook_46082\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013358.lean\",\"d4a1ce30a9335d4212e2c910450825855056e72c059a150a59efe8628c9f6d9a\",0,\"lean_workbook_46788\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013359.lean\",\"6416c2658cef8ceb579ff58f41ee6ed91965b6c971ea4af7a85a70c58f2c3d07\",0,\"parallel_resistors_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 128812,
+      "path": "data/train/p61/oproofs-s00002-r00013356-n000004-0000-c40480ab040ce648.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c40480ab040ce6483d0c91ded777ac7d27f62531b10a58a9e5719771df092071"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013360-n000004.json b/manifests/batches/oproofs/s00002-r00013360-n000004.json
index 7319fda2410466edfa1642382ff4978b83c3279f..13a2593e5006d02817b7a250fe855d47686ea174 100644
--- a/manifests/batches/oproofs/s00002-r00013360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013360-n000004",
   "batch_fingerprint": "7bfa6bccae6be0b15ed89db33070d6b4b907545438298f8b9bc8720fcdbb32f4",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13360",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13361",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13362",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13363"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013360.lean\",\"8314547eab2349048c3ce69992cb762e7b4614d89b3ec070c9bc5920f9e06789\",0,\"lean_workbook_31969\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013361.lean\",\"b3b831dc8749e753a8b52189c420197fd9cc981d16f866a8f27804afb8fcb570\",0,\"lean_workbook_plus_12023\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013362.lean\",\"f032e763acbbb31a23c747ddbf1fc141d71e7c413510ca03bc14d45f46234bd4\",0,\"lean_workbook_plus_50156\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013363.lean\",\"660fe013be68cdc65139fe859c7af64262f647f683e80a62ddf65cc91c225981\",0,\"lean_workbook_plus_35891\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013360-n000004-0000-1d5bf7b291d58e5b.parquet",
-      "sha256": "1d5bf7b291d58e5bb6de923ca3877fff1aca4397ac6d9f7e02fb2f97a5ec5746",
       "bytes": 321476,
+      "path": "data/train/pb0/oproofs-s00002-r00013360-n000004-0000-1d5bf7b291d58e5b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 16,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "1d5bf7b291d58e5bb6de923ca3877fff1aca4397ac6d9f7e02fb2f97a5ec5746"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013360-n000004-0000-06f44445fe6d0e60.parquet",
-      "sha256": "06f44445fe6d0e6086707ab09337325c14b87b1ee8007e87da7edf54255277e2",
       "bytes": 178141,
+      "path": "data/dev/pb0/oproofs-s00002-r00013360-n000004-0000-06f44445fe6d0e60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "06f44445fe6d0e6086707ab09337325c14b87b1ee8007e87da7edf54255277e2"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013360-n000004-0000-6121981659133775.parquet",
-      "sha256": "6121981659133775aa2b68c2cfe802d963cf68461843b898366594b22550c910",
       "bytes": 123695,
+      "path": "data/internal_test/pb0/oproofs-s00002-r00013360-n000004-0000-6121981659133775.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
+      "sha256": "6121981659133775aa2b68c2cfe802d963cf68461843b898366594b22550c910"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13360",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13361",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13362",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13363"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013360.lean\",\"8314547eab2349048c3ce69992cb762e7b4614d89b3ec070c9bc5920f9e06789\",0,\"lean_workbook_31969\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013361.lean\",\"b3b831dc8749e753a8b52189c420197fd9cc981d16f866a8f27804afb8fcb570\",0,\"lean_workbook_plus_12023\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013362.lean\",\"f032e763acbbb31a23c747ddbf1fc141d71e7c413510ca03bc14d45f46234bd4\",0,\"lean_workbook_plus_50156\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013363.lean\",\"660fe013be68cdc65139fe859c7af64262f647f683e80a62ddf65cc91c225981\",0,\"lean_workbook_plus_35891\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013364-n000004.json b/manifests/batches/oproofs/s00002-r00013364-n000004.json
index f0b0b38e56f0b0c384f6b2fc46ab10b163f175a4..24ee7c028a1c88cd9ded2dfc70d49597b8d8a276 100644
--- a/manifests/batches/oproofs/s00002-r00013364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013364-n000004",
   "batch_fingerprint": "4ff9c70626350517efff3d9917b875b807f1fab7fdbff149c7726e7bf8b60c55",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013364-n000004-0000-178edf4d98fd10dc.parquet",
-      "sha256": "178edf4d98fd10dcb05bf607fbcbb37314f53affc1d1d4f3caef7a04954386cf",
-      "bytes": 900682,
-      "rows": 18,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013364-n000004-0000-de64670610fb0733.parquet",
-      "sha256": "de64670610fb0733c7d14038565a6acb980658ade0b992974ec1a9eb5d0632ce",
-      "bytes": 28121,
-      "rows": 2,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13364",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13365",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013365.lean\",\"995bf6f1d6ef8d3e8019a6cac0426c9b59c49846b3573de2f51e07c9416949e3\",0,\"lean_workbook_plus_70223\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013366.lean\",\"59c4d5eb6b056cf3231c233f0eb0c49fc05cb97311e64fbf175b7b6cfeb757a3\",0,\"lean_workbook_plus_7600\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013367.lean\",\"3cc27d5e34795f0eb7fd224ab784822ff966b5313b68cea21147307793920b2d\",0,\"lean_workbook_plus_35620\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 900682,
+      "path": "data/train/pb6/oproofs-s00002-r00013364-n000004-0000-178edf4d98fd10dc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "178edf4d98fd10dcb05bf607fbcbb37314f53affc1d1d4f3caef7a04954386cf"
+    },
+    {
+      "bytes": 28121,
+      "path": "data/dev/pb6/oproofs-s00002-r00013364-n000004-0000-de64670610fb0733.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "de64670610fb0733c7d14038565a6acb980658ade0b992974ec1a9eb5d0632ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013368-n000004.json b/manifests/batches/oproofs/s00002-r00013368-n000004.json
index 136051a84336432041406757e810ffc0299bf6fe..be86e67324d5ee065b916c69dca117e2be6ae0ff 100644
--- a/manifests/batches/oproofs/s00002-r00013368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013368-n000004",
   "batch_fingerprint": "2e9d258cde9f8777dd6c56e06abcb990d0bacb20795fd034d8f60a5bf7c7bd3f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013368-n000004-0000-b688aa77b2d4c836.parquet",
-      "sha256": "b688aa77b2d4c836e5059286cd4c5335d1e1d816df80ffa385b54e40ab27d22f",
-      "bytes": 370359,
-      "rows": 26,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13369",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013369.lean\",\"2df1aaef369944f61da72f051c2948906320a81628f9a6d853c859d17cd2b606\",0,\"lean_workbook_plus_41336\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013370.lean\",\"ec276dfb8126967cf8726682aa5d7ec2ac83f43215406f958a6e328061861da9\",0,\"lean_workbook_plus_17921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013371.lean\",\"1028851c4ef5ca6c3e90f2c56286fbf757a648c309d70e5b00d17ac384fc53f8\",0,\"lean_workbook_plus_59151\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370359,
+      "path": "data/train/pf2/oproofs-s00002-r00013368-n000004-0000-b688aa77b2d4c836.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "b688aa77b2d4c836e5059286cd4c5335d1e1d816df80ffa385b54e40ab27d22f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013372-n000004.json b/manifests/batches/oproofs/s00002-r00013372-n000004.json
index f2aa47dfa1ffad0438462c8e44dc9427c28beade..c8526fd8f7cdc46ce1de69746b97a4c15efb614d 100644
--- a/manifests/batches/oproofs/s00002-r00013372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013372-n000004",
   "batch_fingerprint": "15742a413f1bc2560f0afb913a218979ee6b1ebb837b8a70bec347b06b020a8b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013372-n000004-0000-8be90aa4efa13726.parquet",
-      "sha256": "8be90aa4efa13726f706d2eae256ff1c25b7b344e025b1c170ebb3bb58d8789a",
-      "bytes": 234767,
-      "rows": 16,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013372-n000004-0000-0720c278ac405f6a.parquet",
-      "sha256": "0720c278ac405f6ae75c57a1f9d73f09b925ee107e65b8ce58851c4c1fd27bbd",
-      "bytes": 128278,
-      "rows": 3,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13372",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13373",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013373.lean\",\"2bc6c9ad9fab240f483cbaec93182531c43359aa113bc17863e690e905331041\",0,\"lean_workbook_plus_74610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013374.lean\",\"09e4ea06fae131b17c2cf70000939b7dceb8e5397a363ce106ec8b2a9cc2e6a6\",0,\"lean_workbook_plus_39025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013375.lean\",\"aaa6bff8a86f15944ec290adff6dae9a27ebc49a77d34ae299bd3061f119fc55\",0,\"lean_workbook_plus_18907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 234767,
+      "path": "data/train/p66/oproofs-s00002-r00013372-n000004-0000-8be90aa4efa13726.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "8be90aa4efa13726f706d2eae256ff1c25b7b344e025b1c170ebb3bb58d8789a"
+    },
+    {
+      "bytes": 128278,
+      "path": "data/internal_test/p66/oproofs-s00002-r00013372-n000004-0000-0720c278ac405f6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0720c278ac405f6ae75c57a1f9d73f09b925ee107e65b8ce58851c4c1fd27bbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013376-n000004.json b/manifests/batches/oproofs/s00002-r00013376-n000004.json
index 4cc14b075ad49390812b9b0aee6e9a7e1c6f7294..2a7dfd88c1012335ff0c455163e081cd5be2ff9d 100644
--- a/manifests/batches/oproofs/s00002-r00013376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013376-n000004",
   "batch_fingerprint": "54cda93d6a65c37b2292ecd46a16e905e5fe5496877579027be5fbf4448c1011",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013376-n000004-0000-c89cf8634f5bf958.parquet",
-      "sha256": "c89cf8634f5bf958890ceb0108cc5dce44ead67b4561ac0ec0a750b411389d4b",
-      "bytes": 74320,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013376-n000004-0000-1fa761eedc50ac40.parquet",
-      "sha256": "1fa761eedc50ac40a3003c1f7eec94b86cc73b2719ad18574a34ac0f34217d49",
-      "bytes": 58047,
-      "rows": 3,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013377.lean\",\"de1491484811e1b273dc11d0fff378e2f8d1e7b9c0d19f8cefd351bb1101af34\",0,\"spinner_rotation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013378.lean\",\"07b870fe819e7dcab95a982a6d0929f183be8aab49541d58250cff8b10f4ace5\",0,\"lean_workbook_plus_22406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013379.lean\",\"592f4aaeff7f6be7ec562d112a04415fcdc5f5f19a4a2b5c61764db885a2580b\",0,\"lean_workbook_plus_12844\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 74320,
+      "path": "data/train/p7f/oproofs-s00002-r00013376-n000004-0000-c89cf8634f5bf958.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c89cf8634f5bf958890ceb0108cc5dce44ead67b4561ac0ec0a750b411389d4b"
+    },
+    {
+      "bytes": 58047,
+      "path": "data/dev/p7f/oproofs-s00002-r00013376-n000004-0000-1fa761eedc50ac40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "1fa761eedc50ac40a3003c1f7eec94b86cc73b2719ad18574a34ac0f34217d49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013380-n000004.json b/manifests/batches/oproofs/s00002-r00013380-n000004.json
index b0f60a4edd3e48ed62b4ba53cfd480a6496c87ba..ec888aa3555c8e339fde8e51756ad5496952e285 100644
--- a/manifests/batches/oproofs/s00002-r00013380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013380-n000004",
   "batch_fingerprint": "089e83f54b754d47e55ba78eba14210210eb8afc2cdeed863805c70215de6972",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013380-n000004-0000-b165bb2059ffd87c.parquet",
-      "sha256": "b165bb2059ffd87c7b21f9da020af45b564a8c8cb85570817d925f165b52ec31",
-      "bytes": 370401,
-      "rows": 19,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13380",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13381",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013381.lean\",\"8e4923d09666048cebb67bc33a3b9edbb7f47ddb098f1c20f866ba690da22e63\",0,\"lean_workbook_plus_57931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013382.lean\",\"3f7d062c831820fbe21cc02c3175b3c9579bd4efdcf16b593e09ad048caba204\",0,\"lean_workbook_plus_14531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013383.lean\",\"bc041c94e4fc7757f9fd6df64db6fe200969390d88a3fe5e9f88d10f315a9c36\",0,\"lean_workbook_plus_26230\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 370401,
+      "path": "data/train/p2e/oproofs-s00002-r00013380-n000004-0000-b165bb2059ffd87c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b165bb2059ffd87c7b21f9da020af45b564a8c8cb85570817d925f165b52ec31"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013384-n000004.json b/manifests/batches/oproofs/s00002-r00013384-n000004.json
index dea58a88a3d2132c704a74639271f8ff0fc4c071..790e7f3882d3e903e862751d4fe0a912cca876c9 100644
--- a/manifests/batches/oproofs/s00002-r00013384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013384-n000004",
   "batch_fingerprint": "911a91abbdd3dbab0f0ac7f626c5b4d0fa73f69d015fa5ea305bdd362a33bda6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013384-n000004-0000-eb3352623179debd.parquet",
-      "sha256": "eb3352623179debd54e86b88e68b640a77e585a22e36dabaa75d60b85b28b541",
-      "bytes": 94379,
-      "rows": 8,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013384-n000004-0000-b3a3884655a88b91.parquet",
-      "sha256": "b3a3884655a88b916ea88f61946ddbc51cdee9f5067c71893c00a5d9971cae7b",
-      "bytes": 102395,
-      "rows": 3,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13385",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013385.lean\",\"e73eb1eac9c9ffea5dba10d8e8fd62e839b4bc980b47a9b84b2b61ed6b9eb4f5\",0,\"lean_workbook_37124\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013386.lean\",\"bbd9ec26f98e132aa75d2125e1fe102d0415e76fd31de2135a10a3887a47e8ae\",0,\"lean_workbook_plus_51510\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013387.lean\",\"39a6f74ed4647289c5b9b6bb2485a9c63a34e9ce592e5b53b4632129e8f0c4dc\",0,\"lean_workbook_plus_82301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94379,
+      "path": "data/train/pe3/oproofs-s00002-r00013384-n000004-0000-eb3352623179debd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "eb3352623179debd54e86b88e68b640a77e585a22e36dabaa75d60b85b28b541"
+    },
+    {
+      "bytes": 102395,
+      "path": "data/internal_test/pe3/oproofs-s00002-r00013384-n000004-0000-b3a3884655a88b91.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b3a3884655a88b916ea88f61946ddbc51cdee9f5067c71893c00a5d9971cae7b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013388-n000004.json b/manifests/batches/oproofs/s00002-r00013388-n000004.json
index ad6629e9931a17f2e2c708f8dd008d648df1b9ff..422892c7f70007d02eed64729780e887f13b6fef 100644
--- a/manifests/batches/oproofs/s00002-r00013388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013388-n000004",
   "batch_fingerprint": "e7cb5f59d309967f82dbbd7706de149e88658f47c22d70dc8ee3cb2b44a345f7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013388-n000004-0000-4b77f5f2e51e9b03.parquet",
-      "sha256": "4b77f5f2e51e9b03961a1b87a66f364bc74cd50d5586476f49f18f82eeec0d99",
-      "bytes": 200869,
-      "rows": 18,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13389",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013389.lean\",\"7f87ae9cdf2391f7a5b372189d3e41f14e3bdb7e36bc4f1684074398726fb483\",0,\"lean_workbook_38940\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013390.lean\",\"4b8023399245d6d561f54f6fdbb80351cc491447c50528dc645748fb8b5f47b2\",0,\"lean_workbook_plus_39212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013391.lean\",\"b1a51367fd9429f95762755bba237e20dd0c01080d7f2451c4374244b02acf75\",0,\"lean_workbook_plus_68992\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 200869,
+      "path": "data/train/pba/oproofs-s00002-r00013388-n000004-0000-4b77f5f2e51e9b03.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "4b77f5f2e51e9b03961a1b87a66f364bc74cd50d5586476f49f18f82eeec0d99"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013392-n000004.json b/manifests/batches/oproofs/s00002-r00013392-n000004.json
index f19909b1e15d1f9a9c92efe0ee45a3ee42c5c485..85a09f3146ce0139d89df7d1381aff916434a6a6 100644
--- a/manifests/batches/oproofs/s00002-r00013392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013392-n000004",
   "batch_fingerprint": "3dee753545ff1c488f3fee5b2d91886bcb5e8d6a54984a11a8ad6d1d8488c1e8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013392-n000004-0000-403a5aa4f54ee94b.parquet",
-      "sha256": "403a5aa4f54ee94b3581797c238de71d501d56b27daf6d855b1513ea3c549360",
-      "bytes": 403234,
-      "rows": 8,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013392-n000004-0000-1fe17078dd9e712e.parquet",
-      "sha256": "1fe17078dd9e712e6209e08508eceecfca46aa841d9f8219219c40e1d749ed62",
-      "bytes": 29591,
-      "rows": 2,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13393",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013393.lean\",\"7b2c6511190bb6f5b327027e9417ba43ebed900cc0a44e1b0ec2fe83859aa324\",0,\"lean_workbook_42480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013394.lean\",\"cc5228150dbe62df80a280dd887f3bbd01563461e29c1fe009ec4004fb6fb7f1\",0,\"lean_workbook_plus_74229\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013395.lean\",\"ba345a53744331367b79a5ba4fe0eae3928c4afb6369f7949a16428f1395b092\",0,\"lean_workbook_plus_50533\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 403234,
+      "path": "data/train/p29/oproofs-s00002-r00013392-n000004-0000-403a5aa4f54ee94b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "403a5aa4f54ee94b3581797c238de71d501d56b27daf6d855b1513ea3c549360"
+    },
+    {
+      "bytes": 29591,
+      "path": "data/dev/p29/oproofs-s00002-r00013392-n000004-0000-1fe17078dd9e712e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "1fe17078dd9e712e6209e08508eceecfca46aa841d9f8219219c40e1d749ed62"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013396-n000004.json b/manifests/batches/oproofs/s00002-r00013396-n000004.json
index 098a75b024dd7daf53ede0e5ea4e8216ac428bf0..b1b0d5083bb3a24bbb9c8bafc55a5870b1b252d1 100644
--- a/manifests/batches/oproofs/s00002-r00013396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013396-n000004",
   "batch_fingerprint": "f699b7791e7418292d1ffb57dc0ef9af9ab6e54ef8e8d072ff82f4c53cabba04",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013396-n000004-0000-6f45a9d6664cae3d.parquet",
-      "sha256": "6f45a9d6664cae3dfc649588a527495438ee8b4a5a5bae0a2beb82f4e8c53096",
-      "bytes": 189626,
-      "rows": 26,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013397.lean\",\"d6dc6098d02afd3853c1206181b09bdec8fe71cd170b73fb1865dcc48bff1a18\",0,\"lean_workbook_plus_20224\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013398.lean\",\"df1d0957d9b670e67e15ca49f3632afe9da5ec70d0fe034fd538f2195fbd0527\",0,\"lean_workbook_plus_32592\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013399.lean\",\"d07c9dbc33e0079b85f3fea9e297245b321a3ade0d52dd199e6d37affe0a2492\",0,\"lean_workbook_plus_8108\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 189626,
+      "path": "data/train/pf2/oproofs-s00002-r00013396-n000004-0000-6f45a9d6664cae3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "6f45a9d6664cae3dfc649588a527495438ee8b4a5a5bae0a2beb82f4e8c53096"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013400-n000004.json b/manifests/batches/oproofs/s00002-r00013400-n000004.json
index df8dbc82d6478e3b456ed40c0a09cfd154558527..514a026e6a35425e52aa0f67b9f537d9c48feab7 100644
--- a/manifests/batches/oproofs/s00002-r00013400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013400-n000004",
   "batch_fingerprint": "7aba7af98f92423f8b0e3d85ffd7cc982fe3d51dc053de93fda940c3be0cea8d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013400-n000004-0000-98c18aed959cf683.parquet",
-      "sha256": "98c18aed959cf6835228287f67e67bee666dbdfb2ceb71b41d992c4e9065c203",
-      "bytes": 120571,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013401.lean\",\"cf3f463311b10d776945988553ab2c8fa2d0f565f1964b0c456ab8df32b7b9c5\",0,\"lean_workbook_plus_80092\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013402.lean\",\"33ed5ad9535b3b23827945ac78b12a3338554352ceff38addd44b52ae8c0b3bd\",0,\"lean_workbook_27511\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013403.lean\",\"373134376c2a825429929801572745479c36e5ef4d649e7ede090d4915c4f64f\",0,\"lean_workbook_46082\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120571,
+      "path": "data/train/p78/oproofs-s00002-r00013400-n000004-0000-98c18aed959cf683.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "98c18aed959cf6835228287f67e67bee666dbdfb2ceb71b41d992c4e9065c203"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013404-n000004.json b/manifests/batches/oproofs/s00002-r00013404-n000004.json
index 6eda5706358f2f75e5ee6498153bfbd0e78a1293..a256e0bb68ad59df12119930ae9ffde6c8ad3528 100644
--- a/manifests/batches/oproofs/s00002-r00013404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013404-n000004",
   "batch_fingerprint": "ab116bb71d62ff111551ab89bf8794d3c4f845d3eae5e8e1309072a4811ba34b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013404-n000004-0000-eabf464d13dafc7d.parquet",
-      "sha256": "eabf464d13dafc7de73b3ed7531fb3be7294b6e2e02b3410e094e2e4ee0b1209",
-      "bytes": 141294,
-      "rows": 14,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013404-n000004-0000-cb6deb11c363d73a.parquet",
-      "sha256": "cb6deb11c363d73adea68b9271bf8a3ce27aa20c56f03e552ce4ead15c72d37d",
-      "bytes": 98809,
-      "rows": 5,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13405",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013405.lean\",\"1a215421ab0dc777d67334798c528de7031596ceb317f6b2561ef537e574bba9\",0,\"lean_workbook_plus_27866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013406.lean\",\"dc5f8605177f19e59a4b6b8b3e2a03894c394caec89672bfca23904868ec0940\",0,\"parallel_resistors_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013407.lean\",\"99753c61047eecbce676333ca0b6e54b41e87c13b713aa9e01161cc3dd0ba23b\",0,\"lean_workbook_plus_80702\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141294,
+      "path": "data/train/pb5/oproofs-s00002-r00013404-n000004-0000-eabf464d13dafc7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "eabf464d13dafc7de73b3ed7531fb3be7294b6e2e02b3410e094e2e4ee0b1209"
+    },
+    {
+      "bytes": 98809,
+      "path": "data/internal_test/pb5/oproofs-s00002-r00013404-n000004-0000-cb6deb11c363d73a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "cb6deb11c363d73adea68b9271bf8a3ce27aa20c56f03e552ce4ead15c72d37d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013408-n000004.json b/manifests/batches/oproofs/s00002-r00013408-n000004.json
index 7f737fe36a61497413dc35054601fdc7277cd216..cbafb1ae187b975d50b624c956944bdc4f88b3ff 100644
--- a/manifests/batches/oproofs/s00002-r00013408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013408-n000004",
   "batch_fingerprint": "dd864853b156063b942bea2ebab6ab6c5d7903bb4ad352156228dc5bbdd222e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013408-n000004-0000-548cd23f87a36689.parquet",
-      "sha256": "548cd23f87a36689c189a2aae5f56e522b92ad249b47168f8892cba70f7ddaef",
-      "bytes": 293393,
-      "rows": 23,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013409.lean\",\"fd2ca9e17ef293d02b308e6aa8c3ad87af2e4f9616ffccae83a15950d1a6b15a\",0,\"lean_workbook_plus_12023\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013410.lean\",\"36bf055067b40f5b7f20b306d4cbb43a842d11e7b015ec06a733ee28cf3485fe\",0,\"lean_workbook_plus_44414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013411.lean\",\"fd94e582ecd9504c775910989fc2cb67d8358629ea8f02fa995608b580803470\",0,\"lean_workbook_23036\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 293393,
+      "path": "data/train/pa0/oproofs-s00002-r00013408-n000004-0000-548cd23f87a36689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "548cd23f87a36689c189a2aae5f56e522b92ad249b47168f8892cba70f7ddaef"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013412-n000004.json b/manifests/batches/oproofs/s00002-r00013412-n000004.json
index 8cfcd5fcc09a02f1023d0df03f203871711d97bf..d0836144f1db32935237b841659082785a6b782d 100644
--- a/manifests/batches/oproofs/s00002-r00013412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013412-n000004",
   "batch_fingerprint": "c6f8e3131726d41cc3473a6556eaf2c9d22617f5b817736258ed9f8b24c99e2e",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013412-n000004-0000-5cfe64ae179a4933.parquet",
-      "sha256": "5cfe64ae179a4933fce3148cfc16c2502583b56330a878e8060eb7e79233b8fe",
-      "bytes": 575322,
-      "rows": 16,
-      "revision": "6f4a1d498d7b4e882799f002a223ce9b25809f97"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13413",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013412.lean\",\"fc6720f4ff16da7d0c7e70089673f7df82b109ea28b68b86d61bfa1c9816fa99\",0,\"lean_workbook_plus_70223\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013413.lean\",\"b09e8afc1b7e2aff44fc187752648eba151a72eba185013e19aed2d21b1e67e6\",0,\"lean_workbook_plus_5355\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013415.lean\",\"e4f32d392d3ce76bb1a1a5d3c010916f2e915f7132dd39d03fabbc04a623a9fb\",0,\"lean_workbook_33327\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 575322,
+      "path": "data/train/p24/oproofs-s00002-r00013412-n000004-0000-5cfe64ae179a4933.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "5cfe64ae179a4933fce3148cfc16c2502583b56330a878e8060eb7e79233b8fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013416-n000004.json b/manifests/batches/oproofs/s00002-r00013416-n000004.json
index 478bd9c7cc302bb25db56f84da0ce7a27b296f91..854c4c6b331d99cfd73937391fa46b3924ac1746 100644
--- a/manifests/batches/oproofs/s00002-r00013416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013416-n000004",
   "batch_fingerprint": "d2fab4c323b80d3855921fb391b1da0376fe9baed30a9cbcad8d0e445d97a64c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013416-n000004-0000-abd6109e55deb0c6.parquet",
-      "sha256": "abd6109e55deb0c6996a14cfc6236591dfc9357ee6f5f92cd584f10e56277efd",
-      "bytes": 172612,
-      "rows": 15,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013416-n000004-0000-b87b9ff0eec428a3.parquet",
-      "sha256": "b87b9ff0eec428a344a7f244eb181b23b743ed52ad29b922fe1672610368fb8f",
-      "bytes": 101203,
-      "rows": 4,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013417.lean\",\"2c078134f1c38fea1344b62d50f20a324281da89959b773bdf25f1fb91ac7b47\",0,\"lean_workbook_plus_79369\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013418.lean\",\"6b22c966abddd2b0cef90828d14bc01a8a1ecf372e9dfb248000a24e2340f17a\",0,\"lean_workbook_plus_28559\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013419.lean\",\"9680144e946f3b66f6e9124911c21d6709de776a9ed88ad25957ad1162aef5de\",0,\"lean_workbook_plus_59577\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 172612,
+      "path": "data/train/p8c/oproofs-s00002-r00013416-n000004-0000-abd6109e55deb0c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "abd6109e55deb0c6996a14cfc6236591dfc9357ee6f5f92cd584f10e56277efd"
+    },
+    {
+      "bytes": 101203,
+      "path": "data/internal_test/p8c/oproofs-s00002-r00013416-n000004-0000-b87b9ff0eec428a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b87b9ff0eec428a344a7f244eb181b23b743ed52ad29b922fe1672610368fb8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013420-n000004.json b/manifests/batches/oproofs/s00002-r00013420-n000004.json
index 26ce7923db0a17c86b8e0554bb77608886da0695..9d1f77bd5a14123988dd31af5a39a3fddfb10b30 100644
--- a/manifests/batches/oproofs/s00002-r00013420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013420-n000004",
   "batch_fingerprint": "52e789de5b96d74570dc595a63a133546b2864e28c9e42396a07deacacc116f0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013420-n000004-0000-063ebf88cdf6150d.parquet",
-      "sha256": "063ebf88cdf6150d7ea2327e92926176bbca2d2a02ee6244ff435c804d2b2d3c",
-      "bytes": 301320,
-      "rows": 12,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13421",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013421.lean\",\"fff8e0f7b6cee2831d647051616336d746519db97f5302c8c4bec8d3c5afc160\",0,\"lean_workbook_plus_17921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013422.lean\",\"9d5aaabcb017fee7f7576249716e264ec433c4cbfcc50c8487bdf4ce563a6ad8\",0,\"detour_speed_calculation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013423.lean\",\"870ab952e55c34b130874995a1fe999a26a2dda946839f0831cecc76758f9d95\",1,\"main_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301320,
+      "path": "data/train/pa2/oproofs-s00002-r00013420-n000004-0000-063ebf88cdf6150d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "063ebf88cdf6150d7ea2327e92926176bbca2d2a02ee6244ff435c804d2b2d3c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013424-n000004.json b/manifests/batches/oproofs/s00002-r00013424-n000004.json
index 59b0f29ad056035da44712d73284dba01837ace5..94b6382f0e6127469f9f1b357d2325c746907f8c 100644
--- a/manifests/batches/oproofs/s00002-r00013424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013424-n000004",
   "batch_fingerprint": "5a8c4bf08aef5c9c3ccf14fce4600fb17c3d4f8d8a5d84936d2fd10e02ca4ca5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013424-n000004-0000-6b231d08a14c0b35.parquet",
-      "sha256": "6b231d08a14c0b357d55f796b9c16402bb896366189d425bc4ce4624f255d499",
-      "bytes": 332293,
-      "rows": 25,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13425",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013425.lean\",\"88f7bfce0d76ceaa23671991f265439491d3bfb2edbe1304caffd61680fbce96\",0,\"lean_workbook_plus_51461\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013426.lean\",\"a931522ad34920db314f47933dd22f93e5cedd986df2dc0c998ac7af661ae19a\",0,\"lean_workbook_plus_80396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013427.lean\",\"705451f5c48b6ebcc64902c671a61200bc15be4c0d81dcac88dd3c312fc91c5d\",0,\"lean_workbook_plus_44791\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 332293,
+      "path": "data/train/pb2/oproofs-s00002-r00013424-n000004-0000-6b231d08a14c0b35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "6b231d08a14c0b357d55f796b9c16402bb896366189d425bc4ce4624f255d499"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013428-n000004.json b/manifests/batches/oproofs/s00002-r00013428-n000004.json
index 823669bfa6ab0b23b1a7e1c599aff02fd195a1e5..3db3e94459a6e344f2f0a92508d7e7af52125ed9 100644
--- a/manifests/batches/oproofs/s00002-r00013428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013428-n000004",
   "batch_fingerprint": "7044d66e40aa401d848d57b90cc44851c711920c2977fddc2eee531c3f96e408",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013428-n000004-0000-f0cc4805b2593819.parquet",
-      "sha256": "f0cc4805b259381938b58ee2f218568aa4c33b52a6af1e7ca60d4f7bdcf1a3ed",
-      "bytes": 120016,
-      "rows": 11,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013428-n000004-0000-2da54a4dee31837e.parquet",
-      "sha256": "2da54a4dee31837e21a64f0850371ea6e516612c8cffe15356616e4490b9a76d",
-      "bytes": 130291,
-      "rows": 5,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13428",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13429",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013429.lean\",\"862b8b11b0fb0d7ce7a05aa9cd5b80732a673fcc856b1e52a25812213dd2b54f\",0,\"lean_workbook_plus_74610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013430.lean\",\"c2d50b921dc16cf1763b68eb407720be782f5743e98561d3435f1be237e0f9d8\",0,\"lean_workbook_plus_39025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013431.lean\",\"fea76494e06bb277d895c14979d83cacf33f5deaad80f5703c61e140530ee68b\",0,\"lean_workbook_plus_5096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 120016,
+      "path": "data/train/p3b/oproofs-s00002-r00013428-n000004-0000-f0cc4805b2593819.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f0cc4805b259381938b58ee2f218568aa4c33b52a6af1e7ca60d4f7bdcf1a3ed"
+    },
+    {
+      "bytes": 130291,
+      "path": "data/internal_test/p3b/oproofs-s00002-r00013428-n000004-0000-2da54a4dee31837e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2da54a4dee31837e21a64f0850371ea6e516612c8cffe15356616e4490b9a76d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013432-n000004.json b/manifests/batches/oproofs/s00002-r00013432-n000004.json
index 3b53ddebfad7add9436d53c2ec1d1e726b1ac83e..057a1d81b49aa79d7f14a7212c0e5ac8cfda895e 100644
--- a/manifests/batches/oproofs/s00002-r00013432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013432-n000004",
   "batch_fingerprint": "2e2d70709716395af3493296f82000d89468738009f9c83676e986a79349c16a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013432-n000004-0000-da3e465fdb6b3cb9.parquet",
-      "sha256": "da3e465fdb6b3cb9f1acf65afae19b104ba9d3116de1138814cf7f9024502686",
-      "bytes": 304974,
-      "rows": 22,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13432",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13433",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013433.lean\",\"223ad690975dd62ba2f8d04606c0646646d00a3b688b2c9afe1eb2c66d874ceb\",0,\"lean_workbook_plus_22406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013434.lean\",\"885e9f54ca83d677729552ee096407c5851e1b165d71b3ddb2c96f579be42f81\",0,\"lean_workbook_plus_68687\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013435.lean\",\"feb627d1e1c089bc93774cbe5649ec7d28f21f139ea45784ad5a94912baaf879\",0,\"lean_workbook_17107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 304974,
+      "path": "data/train/pdf/oproofs-s00002-r00013432-n000004-0000-da3e465fdb6b3cb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "da3e465fdb6b3cb9f1acf65afae19b104ba9d3116de1138814cf7f9024502686"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013436-n000004.json b/manifests/batches/oproofs/s00002-r00013436-n000004.json
index 1cb33b7e1ba786a47c13e666ca52cfcbf534c6df..a24eda9f1aa016b090bf4cc0b8ad301ecc8b4884 100644
--- a/manifests/batches/oproofs/s00002-r00013436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013436-n000004",
   "batch_fingerprint": "6bc4cb39bf99ed19ccb72a198a0b32c0f68b04c3315c191b22b300d883929dc9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013436-n000004-0000-425f0a18e06c40c0.parquet",
-      "sha256": "425f0a18e06c40c0867e9bb684262b76f8bf71a3a90e3cc8cd4556b9edfb6894",
-      "bytes": 253411,
-      "rows": 10,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013436-n000004-0000-77231ee581c29e64.parquet",
-      "sha256": "77231ee581c29e643e521c3d045c59f504b65d3d7328e8bc82eeb8a598459052",
-      "bytes": 121062,
-      "rows": 9,
-      "revision": "4b497ddae9ec1abd5712e9879ea658e1816f62f0"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13437",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013437.lean\",\"9cd4dd4b4b42c66ad044899a217aa775bcb8f56080f466cd219ce59ba77b0a92\",0,\"lean_workbook_plus_12074\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013438.lean\",\"96f9dfce480b79f0bb647df5f7653b7559dddee3949f7980605c1ee27e5a878a\",0,\"lean_workbook_plus_26230\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013439.lean\",\"bffcf072404b9760e4b00073af3146d2f17ed8fb12771dff276254836b26a27f\",0,\"lean_workbook_plus_18907\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 253411,
+      "path": "data/train/pe9/oproofs-s00002-r00013436-n000004-0000-425f0a18e06c40c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "425f0a18e06c40c0867e9bb684262b76f8bf71a3a90e3cc8cd4556b9edfb6894"
+    },
+    {
+      "bytes": 121062,
+      "path": "data/internal_test/pe9/oproofs-s00002-r00013436-n000004-0000-77231ee581c29e64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "77231ee581c29e643e521c3d045c59f504b65d3d7328e8bc82eeb8a598459052"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013440-n000004.json b/manifests/batches/oproofs/s00002-r00013440-n000004.json
index 9c26f0e645fde78cd32c66847a6e4fc857872004..54093913ca071e1b4f29558aaf1fdf15a1aea820 100644
--- a/manifests/batches/oproofs/s00002-r00013440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013440-n000004",
   "batch_fingerprint": "cf50141533afbb2ad32cf67e1703801f3142692fcbc26db9896d072414c0d8fb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013440-n000004-0000-8dd33645aae39084.parquet",
-      "sha256": "8dd33645aae3908450d127aac3f94929e3a529258fa8d94402ff3e9d499115ed",
-      "bytes": 249139,
-      "rows": 13,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013441.lean\",\"dee0043aad81a78ac8da1d47d6497f1c5cc2bb611b2b9758caa1539dac19c523\",0,\"lean_workbook_plus_64147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013442.lean\",\"b16def1dec321a8d024517ec4aeddcf8d933cc3fe6d21f1ad37a9cbd453bfd50\",0,\"lean_workbook_plus_10803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013443.lean\",\"0b8ec68a4aba7c248f204319911f4dd17dbd29785d8df9f8cb6b1c5d9c4d18b5\",0,\"lean_workbook_plus_81412\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249139,
+      "path": "data/train/pc1/oproofs-s00002-r00013440-n000004-0000-8dd33645aae39084.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "8dd33645aae3908450d127aac3f94929e3a529258fa8d94402ff3e9d499115ed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013444-n000004.json b/manifests/batches/oproofs/s00002-r00013444-n000004.json
index 32d72b5cdce50b9a85980d6a9e8f7f59c75c6179..c9f5ee2f91ceeb5c12578e7e591f3af1b4fb1b9f 100644
--- a/manifests/batches/oproofs/s00002-r00013444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013444-n000004",
   "batch_fingerprint": "9a105586fd59245f29aeedac649382e539053d9225b2962eab7cb050109913e6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013444-n000004-0000-cbd5e0788a1c6098.parquet",
-      "sha256": "cbd5e0788a1c6098b2d790da56c6e863fcee28bd8ea9cd0a3f671aa3b740b37a",
-      "bytes": 325187,
-      "rows": 14,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13444",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13445",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013445.lean\",\"22586ea89cec19e20eab0ace7cb458dcd8e3454390f72346a123cd01b0fa4472\",0,\"lean_workbook_plus_25139\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013446.lean\",\"17e5e749faf279f3a26181a2d6ea49d974dbe23194db2227c43f1aae46116a53\",0,\"lean_workbook_plus_14531\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013447.lean\",\"f25c71cd728ac60ec688985860a8b597e00a4cae53e37f5e4ad44a8e69824a7f\",0,\"lean_workbook_plus_82301\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 325187,
+      "path": "data/train/pd1/oproofs-s00002-r00013444-n000004-0000-cbd5e0788a1c6098.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cbd5e0788a1c6098b2d790da56c6e863fcee28bd8ea9cd0a3f671aa3b740b37a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013448-n000004.json b/manifests/batches/oproofs/s00002-r00013448-n000004.json
index 5d3416ecc4430d28d318aa2bc012aac56017b4db..19a2e89625a5e769d87501e9fc902177ff0718c3 100644
--- a/manifests/batches/oproofs/s00002-r00013448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013448-n000004",
   "batch_fingerprint": "530b106150d2f66a359d2fbc634d7f71fe53b577b2eb99d703888ce32955564e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013448-n000004-0000-e92e1a1de99705f5.parquet",
-      "sha256": "e92e1a1de99705f54f61111bb11a6f7bd8cacceb54d38b324b30d1577c519601",
-      "bytes": 593969,
-      "rows": 29,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13449",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013449.lean\",\"154d129851cc6102de473f63de311980cea7658dcd9098bb31865493b49a9437\",0,\"lean_workbook_plus_39212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013450.lean\",\"9509bbf2c29e3f659468ce9918d196f56ddb28bf4ea8a63ffe661c48e4964ecd\",0,\"lean_workbook_plus_44775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013451.lean\",\"ecc062064e33e7e9b6bb584aa65877d0e0c11b6468a56da54cf244b2f0aebddb\",0,\"lean_workbook_19001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 593969,
+      "path": "data/train/p2e/oproofs-s00002-r00013448-n000004-0000-e92e1a1de99705f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "e92e1a1de99705f54f61111bb11a6f7bd8cacceb54d38b324b30d1577c519601"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013452-n000004.json b/manifests/batches/oproofs/s00002-r00013452-n000004.json
index eab8814a719cc7334437c48ef141fed797a64691..bf381749e30be38bf0f759c674d7e62dcd6b26c6 100644
--- a/manifests/batches/oproofs/s00002-r00013452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013452-n000004",
   "batch_fingerprint": "1b629566663662c9f049a5ae4c36afe9c4c1ae166a0f71d29cf4fb9ac10ba729",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013452-n000004-0000-9dbc2e03551011bd.parquet",
-      "sha256": "9dbc2e03551011bdac49bad6842f21265527c79e1747b2e759a3392da01cde4a",
-      "bytes": 657636,
-      "rows": 25,
-      "revision": "e4aff0dbf81ff3943beaa7e6d5ced5207cd649a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13453",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013453.lean\",\"1e4bbdfe9628278512c686c34f89ebbf5f36846801d7c3f76c5da306da78472d\",0,\"lean_workbook_42480\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013454.lean\",\"0967f4925a140da7ceec2ccfb304082f73303a7e3c5839a42cdc8e2f8458a78d\",0,\"lean_workbook_42264\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013455.lean\",\"ecaf84cc1b864bdf2978928de749dde069b1df441c5aff0062b1fd48bffca297\",0,\"lean_workbook_plus_44607\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 657636,
+      "path": "data/train/pe5/oproofs-s00002-r00013452-n000004-0000-9dbc2e03551011bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "9dbc2e03551011bdac49bad6842f21265527c79e1747b2e759a3392da01cde4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013456-n000004.json b/manifests/batches/oproofs/s00002-r00013456-n000004.json
index 34327717a32b06733be234d679c954cd15173da0..2866e818cd356a2b74c717ed93a654d81833af75 100644
--- a/manifests/batches/oproofs/s00002-r00013456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013456-n000004",
   "batch_fingerprint": "ff0a14070e81bbd5115add416cbaa22c9de654606e2c3199821852c533d2283a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013456-n000004-0000-2f47558bc489e2c4.parquet",
-      "sha256": "2f47558bc489e2c47c7393d32db324e0ef94bb7934b2d49d934ed2c835a530d3",
-      "bytes": 1044077,
-      "rows": 19,
-      "revision": "e4aff0dbf81ff3943beaa7e6d5ced5207cd649a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13457",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013457.lean\",\"1c014464dff307823aac0705a74c74c762311f7bd54ff2f64bb12889a0f96a13\",0,\"lean_workbook_plus_50533\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013458.lean\",\"4a5b22952b73f78b9586f0ceba7231b0a80f6dbd934ca9054128e733213697b3\",0,\"lean_workbook_plus_25106\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013459.lean\",\"d71b5588fe2922d6c5a44fd1f0805a234d2180a93836de4c7816297600b795bf\",0,\"lean_workbook_plus_20224\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1044077,
+      "path": "data/train/p77/oproofs-s00002-r00013456-n000004-0000-2f47558bc489e2c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "2f47558bc489e2c47c7393d32db324e0ef94bb7934b2d49d934ed2c835a530d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013460-n000004.json b/manifests/batches/oproofs/s00002-r00013460-n000004.json
index cc311a94764cb3538714fb83e6122e953207cc5d..cfb6cc98878b1950e20fc8901afc9dd9cffa810f 100644
--- a/manifests/batches/oproofs/s00002-r00013460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013460-n000004",
   "batch_fingerprint": "f3055a5da2bb0d80d75d5b53dc856be5265d73c5e8c445f7fb8c4e1985340f7c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013460-n000004-0000-ad94f424b7e0a677.parquet",
-      "sha256": "ad94f424b7e0a677a0290e7608e8642f03e0b09bcd9e0fc096c29211aa984028",
-      "bytes": 137460,
-      "rows": 11,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013461.lean\",\"eaf7b442c47c08f0271a2de8824de0f91e42f8dc0b81fd3255b9bd937ebbb943\",0,\"lean_workbook_plus_8108\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013462.lean\",\"c5889a6363944cc9a2d98cb9e7811e9909fcb206dcee5c66005c9d57c1114454\",0,\"lean_workbook_plus_80092\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013463.lean\",\"04f9a8d2efdc2b42cb29e214fc46603a4bdd610a5bea3f1381f589122e069b26\",0,\"lean_workbook_27511\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137460,
+      "path": "data/train/p6c/oproofs-s00002-r00013460-n000004-0000-ad94f424b7e0a677.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "ad94f424b7e0a677a0290e7608e8642f03e0b09bcd9e0fc096c29211aa984028"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013464-n000004.json b/manifests/batches/oproofs/s00002-r00013464-n000004.json
index 8815bb5bd55adddc6ac9bd465ea05b24cc843a3a..0522f98b01d4716350c17d059b7d2ecc72cc61d6 100644
--- a/manifests/batches/oproofs/s00002-r00013464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013464-n000004",
   "batch_fingerprint": "41000ca95eb876d69a61b93a869253439f91e36264a92e09e0202915c90ad236",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013464-n000004-0000-349cb66f2e16ef65.parquet",
-      "sha256": "349cb66f2e16ef6574e513f62a2ba17c01636c718682d1dc84b67f92c0bd5fa7",
-      "bytes": 181346,
-      "rows": 14,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013465.lean\",\"fa8b3656d9f09c99b0659b95220cafb2e97b782cf9074a6116192948f7cb8903\",0,\"lean_workbook_plus_80702\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013466.lean\",\"fa80f70a77736d7d35869fe3db87010f6aeba0b97ef0c6c8b2311cb132708b54\",0,\"lean_workbook_46788\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013467.lean\",\"ef26bcc48e691987030c1f6ee4e205e278e80947ca34d9843f5e46460c66e57b\",0,\"parallel_resistors_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 181346,
+      "path": "data/train/p9d/oproofs-s00002-r00013464-n000004-0000-349cb66f2e16ef65.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "349cb66f2e16ef6574e513f62a2ba17c01636c718682d1dc84b67f92c0bd5fa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013468-n000004.json b/manifests/batches/oproofs/s00002-r00013468-n000004.json
index c97b45323184cbf7336addbafd71b037a787c453..225109fbf4fd19354206e8aa499da41f9d63bb9c 100644
--- a/manifests/batches/oproofs/s00002-r00013468-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013468-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013468-n000004",
   "batch_fingerprint": "1b6a799b3e5d077619d84132a94358b15c3a80369602196104daf473a68ad57f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013468-n000004-0000-c523d873336c452e.parquet",
-      "sha256": "c523d873336c452e1f99d2256c52858693d7dcc4b2e1728166d9d8d4a08f137f",
-      "bytes": 136664,
-      "rows": 13,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013468-n000004-0000-ac5ba22826595f60.parquet",
-      "sha256": "ac5ba22826595f608bf0fcb24f4b3ecbd457a5d84bc466219ac7805915e89135",
-      "bytes": 82519,
-      "rows": 5,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13468",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13469",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013469.lean\",\"16eb706e90602cb896b038beb444124eb15ba59aa9c96459e9cc9a90f7785342\",0,\"lean_workbook_plus_11425\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013470.lean\",\"0ad3ba8e92934ab47430fa06db19bbad8456c1b533118a77fe6864f1b5c7af44\",0,\"lean_workbook_plus_27866\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013471.lean\",\"e6515903bf169704e609dfaab6289f50dd667df8e22f979eb59c8b2ee44edd34\",0,\"lean_workbook_plus_12023\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 136664,
+      "path": "data/train/p84/oproofs-s00002-r00013468-n000004-0000-c523d873336c452e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "c523d873336c452e1f99d2256c52858693d7dcc4b2e1728166d9d8d4a08f137f"
+    },
+    {
+      "bytes": 82519,
+      "path": "data/internal_test/p84/oproofs-s00002-r00013468-n000004-0000-ac5ba22826595f60.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ac5ba22826595f608bf0fcb24f4b3ecbd457a5d84bc466219ac7805915e89135"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013472-n000004.json b/manifests/batches/oproofs/s00002-r00013472-n000004.json
index 16bb624d79ad0195e4c8531934612f86e4f82b41..e303be8472e1eda1c703d935764cbc3a75696603 100644
--- a/manifests/batches/oproofs/s00002-r00013472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013472-n000004",
   "batch_fingerprint": "a3425d2b8d911db4aad0047f593d2a5d4886845856978924174c0d240d91b7bb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013472-n000004-0000-5238038e589f6ddd.parquet",
-      "sha256": "5238038e589f6dddb52e9e5c204d3023d32457792ac0e3225dda545b345b0d49",
-      "bytes": 201164,
-      "rows": 18,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13473",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013473.lean\",\"b1c67f687c307916ed614164d5d2762dde1e7163b665df4fbff47625fe37c001\",0,\"lean_workbook_plus_26129\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013474.lean\",\"e1132905d1fb35274d3519d5656796ea799e27e84339bc4a825da0f218778c79\",0,\"lean_workbook_plus_44414\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013475.lean\",\"f4e37cb76c1d577559531d9bd5fdebeaa58ff54461489a1a5e17ce719fcd8899\",0,\"lean_workbook_48047\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 201164,
+      "path": "data/train/paa/oproofs-s00002-r00013472-n000004-0000-5238038e589f6ddd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "5238038e589f6dddb52e9e5c204d3023d32457792ac0e3225dda545b345b0d49"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013476-n000004.json b/manifests/batches/oproofs/s00002-r00013476-n000004.json
index 16a127c46ce27db6378e71af3a5f6116c1f656cc..02ffd64913b07de2ec5d9aeb92e2f4b158f1523f 100644
--- a/manifests/batches/oproofs/s00002-r00013476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013476-n000004",
   "batch_fingerprint": "a28e61bc23d1b251e7bf90b13397602676cd21bb35a65a04467640312c794b52",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013476-n000004-0000-34b949f16128ad40.parquet",
-      "sha256": "34b949f16128ad40807b5fbc18e37d4e02b14ee84981b48cbd6d21ce301f39ca",
-      "bytes": 401409,
-      "rows": 25,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013477.lean\",\"3bbf48c1fb1036d97c0b6c1b04c490e7ee32068c2a3b6de846a04314afa315d0\",0,\"lean_workbook_23036\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013478.lean\",\"4c01ac3191cbbb9fcadbe52391eeb91c00edb444fb5fce4b8a961c77049208d0\",0,\"lean_workbook_plus_5355\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013479.lean\",\"7aefde3040537f97dc265d03eca893aed709e8329203b41fe40a5a26e780bc21\",0,\"lean_workbook_plus_18604\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 401409,
+      "path": "data/train/p2e/oproofs-s00002-r00013476-n000004-0000-34b949f16128ad40.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "34b949f16128ad40807b5fbc18e37d4e02b14ee84981b48cbd6d21ce301f39ca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013480-n000004.json b/manifests/batches/oproofs/s00002-r00013480-n000004.json
index 8014fb1bed8bbd07adb659d9de56de84954acb46..4ffc86501bee26879c74c597f159aac666c61911 100644
--- a/manifests/batches/oproofs/s00002-r00013480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013480-n000004",
   "batch_fingerprint": "a7791a07f1840031c5539009714129e8faad0852e9441a1fa03ebd1e988b55f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013480-n000004-0000-c077f940fd2a70d6.parquet",
-      "sha256": "c077f940fd2a70d6283a58134cb9d2c49b30d0a3f4958432f7694a2a0166c5c1",
-      "bytes": 392767,
-      "rows": 21,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013480-n000004-0000-6c00a71cc26a9fae.parquet",
-      "sha256": "6c00a71cc26a9faef557c04a87321829c6c69e224f33da629d5725359c623c76",
-      "bytes": 28437,
-      "rows": 2,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13480",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13481",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013481.lean\",\"c543262a9cfe7b2761071b3b9267e30412ff30dabb3be2618613a9f81dfaeee9\",0,\"lean_workbook_plus_72381\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013482.lean\",\"6181df3c77342a43830154dfb3cfe7bc15cd3f3025ea0c6946d8da88449ed5ac\",0,\"lean_workbook_plus_35620\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013483.lean\",\"941019c8e07db3e82ed2830e0aed0b3461f9e50e5b8daa34eada902cdc06ffae\",0,\"lean_workbook_plus_65380\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 392767,
+      "path": "data/train/p69/oproofs-s00002-r00013480-n000004-0000-c077f940fd2a70d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "c077f940fd2a70d6283a58134cb9d2c49b30d0a3f4958432f7694a2a0166c5c1"
+    },
+    {
+      "bytes": 28437,
+      "path": "data/dev/p69/oproofs-s00002-r00013480-n000004-0000-6c00a71cc26a9fae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "6c00a71cc26a9faef557c04a87321829c6c69e224f33da629d5725359c623c76"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013484-n000004.json b/manifests/batches/oproofs/s00002-r00013484-n000004.json
index 3abcc9ebca3604c1c8a16ead9ef54db282474455..254a733bec8492c6f1fe047837ddbbf53bc9aab6 100644
--- a/manifests/batches/oproofs/s00002-r00013484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013484-n000004",
   "batch_fingerprint": "2e95c7d3c8428667c3ebc068d3b362cb7026700625038786dc3c20e4a328b86d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013484-n000004-0000-706881670c532c48.parquet",
-      "sha256": "706881670c532c483f3ea1e120fc44867d78b8e4f1553088e31f9d702c7fa30c",
-      "bytes": 211391,
-      "rows": 10,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013484-n000004-0000-a63ddf3313c3d43f.parquet",
-      "sha256": "a63ddf3313c3d43f2936e12a9c836ac874015eb6c09768b5a9219d987db3e05b",
-      "bytes": 74780,
-      "rows": 3,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13485",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013485.lean\",\"8b1bd3c488a7091c171e239ed9e20df877343c7811035065030cc42a4783a204\",0,\"lean_workbook_33327\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013486.lean\",\"52bcbc9244b4e3d333100acae6d260d00e8bc7a63b1fab1b4c79370a9aad6e6a\",0,\"lean_workbook_plus_17921\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013487.lean\",\"246b059004bef71e684233189b98cab141a48f266497c49e1f438b68a3230c07\",0,\"detour_speed_calculation\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211391,
+      "path": "data/train/p9c/oproofs-s00002-r00013484-n000004-0000-706881670c532c48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "706881670c532c483f3ea1e120fc44867d78b8e4f1553088e31f9d702c7fa30c"
+    },
+    {
+      "bytes": 74780,
+      "path": "data/internal_test/p9c/oproofs-s00002-r00013484-n000004-0000-a63ddf3313c3d43f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a63ddf3313c3d43f2936e12a9c836ac874015eb6c09768b5a9219d987db3e05b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013488-n000004.json b/manifests/batches/oproofs/s00002-r00013488-n000004.json
index a27d1927b6291a73ae9c3c2a139870cdb3bbc7f4..7bf5be899de18f28afc323415270db0d9c1bd23c 100644
--- a/manifests/batches/oproofs/s00002-r00013488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013488-n000004",
   "batch_fingerprint": "cfb4e6787712a036cccd810b205204ba3655003ef2b5e54dedd24c0cb2c6e418",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013488-n000004-0000-2ea6569c3dbdd05b.parquet",
-      "sha256": "2ea6569c3dbdd05b293b66b428c8074ac574054e558e90fb18895ece11c6d666",
-      "bytes": 449803,
-      "rows": 31,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13489",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013489.lean\",\"e217bd7376dded0b6be72ed327fd6474adb9ad89f2546f61fddd9267e4c6fd9b\",0,\"lean_workbook_plus_59151\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013490.lean\",\"1cb5722e7a2cf56d2208a9cf20846569432e5c6d12a48ea19b5222854fb0ef3a\",0,\"lean_workbook_plus_41336\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013491.lean\",\"785eac5eecd70468d823d1d4cde80a4d8369cb1a759fbf4573b768a1df8001ae\",1,\"main_theorem\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 449803,
+      "path": "data/train/p3d/oproofs-s00002-r00013488-n000004-0000-2ea6569c3dbdd05b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "2ea6569c3dbdd05b293b66b428c8074ac574054e558e90fb18895ece11c6d666"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013492-n000004.json b/manifests/batches/oproofs/s00002-r00013492-n000004.json
index 50f861d217403fa90e9fdbbda5e606b771a054a9..e063899ca2ebba3e8282f92a48716a65dc842d13 100644
--- a/manifests/batches/oproofs/s00002-r00013492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013492-n000004",
   "batch_fingerprint": "d63004e5229a77b2d424904070825b958c97b49e75950de03821768febe9f8a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013492-n000004-0000-7b0d1e0966199a25.parquet",
-      "sha256": "7b0d1e0966199a259cc3cd488684992ffa4b8fa280a6d7b7f513360d57dc2a9a",
-      "bytes": 396182,
-      "rows": 31,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013493.lean\",\"78ff6a7de03fcccbd336457857fe787a3e9ddb6885d46173fdbef54d069a1526\",0,\"lean_workbook_plus_33025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013494.lean\",\"be832eb7057f7b62c3bd3ae3ee2ebf25b1cb7e4eb85d3d9e46be5881c99b1378\",0,\"lean_workbook_plus_80396\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013495.lean\",\"1cf9525d60011749c79432eda10814bd42c18453cb96243b1a0d626597bcfc01\",0,\"lean_workbook_4358\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396182,
+      "path": "data/train/p0e/oproofs-s00002-r00013492-n000004-0000-7b0d1e0966199a25.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "7b0d1e0966199a259cc3cd488684992ffa4b8fa280a6d7b7f513360d57dc2a9a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013496-n000004.json b/manifests/batches/oproofs/s00002-r00013496-n000004.json
index dfa1f1b48bda5e1db7fa0c30fbaaae93827654b5..30c53a6d2fdfc1942b0fc0237ff3abd52019c41c 100644
--- a/manifests/batches/oproofs/s00002-r00013496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013496-n000004",
   "batch_fingerprint": "8ba85fea5435b77b109575072fb68b0f9993abd6c9b3e4a15312db41b075a319",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013496-n000004-0000-19f8477c68c08f76.parquet",
-      "sha256": "19f8477c68c08f76ad690620247d13723f47640aac6edb114287da9cc7899f74",
-      "bytes": 119765,
-      "rows": 11,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013496-n000004-0000-d52bf526ef467a41.parquet",
-      "sha256": "d52bf526ef467a41f39a19f0ce90dadc96abf135311bfb5302e9f8d7676b1da8",
-      "bytes": 94106,
-      "rows": 3,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13497",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013497.lean\",\"311ee1ff1838b41c8c6bd1e98662237dac110e51a5f1195e1cd05abfb893c518\",0,\"lean_workbook_plus_74610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013498.lean\",\"f20607c4f6aeb250a89a831d432e6fbf6b22c7c1d5f62524eff9519c60d55182\",0,\"lean_workbook_plus_39025\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013499.lean\",\"24f262d04fa0b6741467c77807453266ab00ebaef2687ddc764a0361d9332ee1\",0,\"lean_workbook_plus_5096\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119765,
+      "path": "data/train/p2d/oproofs-s00002-r00013496-n000004-0000-19f8477c68c08f76.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "19f8477c68c08f76ad690620247d13723f47640aac6edb114287da9cc7899f74"
+    },
+    {
+      "bytes": 94106,
+      "path": "data/internal_test/p2d/oproofs-s00002-r00013496-n000004-0000-d52bf526ef467a41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "d52bf526ef467a41f39a19f0ce90dadc96abf135311bfb5302e9f8d7676b1da8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013500-n000004.json b/manifests/batches/oproofs/s00002-r00013500-n000004.json
index e448af0f539340731f1a2ce26c3d0c3f3d28713c..3d3de66becd1e387bfdd322cd448702081a682e8 100644
--- a/manifests/batches/oproofs/s00002-r00013500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013500-n000004",
   "batch_fingerprint": "e83d3302ffdb75c727e8802fb6a8ac2fc0896cdcc7b566650960b0e10360f164",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013500-n000004-0000-2d2ed451db0c9f7a.parquet",
-      "sha256": "2d2ed451db0c9f7a24be7f5c73f55a505efb0cb712f80f40e813a919acdb190d",
-      "bytes": 77362,
-      "rows": 13,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013501.lean\",\"9033ff7e6531f716a7899c8ef1fe6ea33d2a0c694603fbafac3457a3dba05c72\",0,\"spinner_rotation\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013502.lean\",\"dbaf380a133715e797042139fc5a555180f7eb128e7b3c2f4f590012ed2c3f78\",0,\"lean_workbook_plus_22406\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013503.lean\",\"3b6ec1a0f3c77db73c36249852448920c2a9a89f46a20609af4f916cf2634dd9\",0,\"lean_workbook_17107\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 77362,
+      "path": "data/train/p3e/oproofs-s00002-r00013500-n000004-0000-2d2ed451db0c9f7a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2d2ed451db0c9f7a24be7f5c73f55a505efb0cb712f80f40e813a919acdb190d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013504-n000004.json b/manifests/batches/oproofs/s00002-r00013504-n000004.json
index 3a3682f52a839c18880b3a0feb8e602ccf7a41ee..97e6d80505bb019de0e8e2bd621f6cea0bf4d5c5 100644
--- a/manifests/batches/oproofs/s00002-r00013504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013504-n000004",
   "batch_fingerprint": "7da15fdfa75beff2cab53890d4ac1c283ff992a2c219148fa74a8ca837fe5561",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013504-n000004-0000-ee6868541a4e7b07.parquet",
-      "sha256": "ee6868541a4e7b070987c79d1832432bfe9e3fa31dcc47724a87e5c0d1acbf13",
-      "bytes": 47349,
-      "rows": 5,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013504-n000004-0000-7cbf390d9bc4a8ac.parquet",
-      "sha256": "7cbf390d9bc4a8accb626af05344de67902b715a9192a2da4e0d240e1dfadb0c",
-      "bytes": 127159,
-      "rows": 5,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013505.lean\",\"83c19bf8d0ed4c46be1323cb30c9e86dedb2ae91b2a881407a4f399b89abf34c\",0,\"lean_workbook_plus_13100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013506.lean\",\"9a9e0511a3cef99b8f8df6784615e6c25a554cea54894579035e17730703a43b\",0,\"lean_workbook_plus_57287\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013507.lean\",\"3b700df29f264dd358632f1f57fd3c9c63c1ece29130c2f27200206a7f296cb7\",0,\"lean_workbook_plus_65895\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 47349,
+      "path": "data/train/p8b/oproofs-s00002-r00013504-n000004-0000-ee6868541a4e7b07.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "ee6868541a4e7b070987c79d1832432bfe9e3fa31dcc47724a87e5c0d1acbf13"
+    },
+    {
+      "bytes": 127159,
+      "path": "data/internal_test/p8b/oproofs-s00002-r00013504-n000004-0000-7cbf390d9bc4a8ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "7cbf390d9bc4a8accb626af05344de67902b715a9192a2da4e0d240e1dfadb0c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013508-n000004.json b/manifests/batches/oproofs/s00002-r00013508-n000004.json
index 449159f448dfbcf9c119b53a91f0436e93c49229..9a480a47bdf460a368fcde3285cc979d407f1fd8 100644
--- a/manifests/batches/oproofs/s00002-r00013508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013508-n000004",
   "batch_fingerprint": "7f0e8760235fcb0987d208531466aa1e20f2a4e951394b87f3397fc68ffcf6c3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013508-n000004-0000-0947d46a68215369.parquet",
-      "sha256": "0947d46a68215369c71b83a52bde7151e9faf59af31951b86b4640db41259299",
-      "bytes": 161414,
-      "rows": 15,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013508-n000004-0000-70b7c8dbbaf8e823.parquet",
-      "sha256": "70b7c8dbbaf8e823a39254b7c4054d16e5326fcd6e09118309c2ed3a6d2147f4",
-      "bytes": 387499,
-      "rows": 4,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013509.lean\",\"c0b7df839853ed2edbfcbfbdf799ce84f6441140a6b46ef18eb92326b347af57\",0,\"lean_workbook_26187\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013510.lean\",\"e1d5e822f462bc3e05d243b03a4cc7bea156f2bea5ef705416e90b334b4974c2\",0,\"lean_workbook_plus_45915\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013511.lean\",\"349731f1b50fb9b5ced704f718cfe0bb18d4b6d618968701c9cf0a424c52f11f\",0,\"lean_workbook_plus_26628\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 161414,
+      "path": "data/train/p48/oproofs-s00002-r00013508-n000004-0000-0947d46a68215369.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "0947d46a68215369c71b83a52bde7151e9faf59af31951b86b4640db41259299"
+    },
+    {
+      "bytes": 387499,
+      "path": "data/dev/p48/oproofs-s00002-r00013508-n000004-0000-70b7c8dbbaf8e823.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "70b7c8dbbaf8e823a39254b7c4054d16e5326fcd6e09118309c2ed3a6d2147f4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013512-n000004.json b/manifests/batches/oproofs/s00002-r00013512-n000004.json
index 41897b4a5eab4733a3f767ef4f7cff4518cae7e1..a8bed1bcc8fc0e40202933972b0de79d95520d70 100644
--- a/manifests/batches/oproofs/s00002-r00013512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013512-n000004",
   "batch_fingerprint": "206f3d3de661269bb52f0ea60705a0ed7b31c03237f60cad7d0c8f480f4c3f45",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013512-n000004-0000-48493359c02ec4c2.parquet",
-      "sha256": "48493359c02ec4c2bee749578201313f149a9f35d3c7e23341f0e930774d0fcd",
-      "bytes": 113668,
-      "rows": 12,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13513",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013513.lean\",\"a7c3ee75d662053e05b3d0b0c85a0233f894d2b55e46802d169034f500e58f95\",0,\"lean_workbook_plus_64147\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013514.lean\",\"7fa3ed52e9b0d9a942a6fce0b110957902a6bd480bf06e8b879248fe8a22e690\",0,\"soda_difference\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013515.lean\",\"ec672388fd2dfc4beae09029c97054e53f46556fcd92a7546bea985cc20da047\",0,\"lean_workbook_37124\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 113668,
+      "path": "data/train/p4d/oproofs-s00002-r00013512-n000004-0000-48493359c02ec4c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "48493359c02ec4c2bee749578201313f149a9f35d3c7e23341f0e930774d0fcd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013516-n000004.json b/manifests/batches/oproofs/s00002-r00013516-n000004.json
index 6a97dad48968c5e1a260169d745c3f6c57ed25a2..0323f9e1631d8a3a6636b8ccc75ab58cb27d808e 100644
--- a/manifests/batches/oproofs/s00002-r00013516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013516-n000004",
   "batch_fingerprint": "66a346656216cab20aac1ff81b7f7553dad3f123a24d1203d38be2b5978c23a2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013516-n000004-0000-31531259b3dce07f.parquet",
-      "sha256": "31531259b3dce07f49d3c6e8f83b579c7e144e3152dd99e8c9b12d3cacc64b1a",
-      "bytes": 119478,
-      "rows": 13,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13517",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013517.lean\",\"41dd512b6b71715a9e2b74736eaff00d5f233c56ea6f5911fbd0e7e971939cb4\",0,\"lean_workbook_plus_82301\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013518.lean\",\"68445cc327e6c9de6567ed4a80a995bd6baf5e459bab23148939fb56eaa71c63\",0,\"lean_workbook_38940\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013519.lean\",\"11dcf0570ecd6d0d1b03e2910e465da04a25a505a527de1fee404c4602c678c4\",0,\"lean_workbook_plus_39212\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119478,
+      "path": "data/train/p9c/oproofs-s00002-r00013516-n000004-0000-31531259b3dce07f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "31531259b3dce07f49d3c6e8f83b579c7e144e3152dd99e8c9b12d3cacc64b1a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013520-n000004.json b/manifests/batches/oproofs/s00002-r00013520-n000004.json
index 51cf1b3a0d7b952353c06172e89436f2d4bc1100..48d82f6b5d454cafec3b13d12b54504a3061f4e7 100644
--- a/manifests/batches/oproofs/s00002-r00013520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013520-n000004",
   "batch_fingerprint": "141fd15a2b5b8bd6572da6e993dbaf0fcbbda8716838a93e150aaa498fe1cb9e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013520-n000004-0000-7eba60a82edec828.parquet",
-      "sha256": "7eba60a82edec828ba35478918168b01862f70211532d1569a59fa6be4b78679",
-      "bytes": 346815,
-      "rows": 21,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013520-n000004-0000-9f7986a4af43f01b.parquet",
-      "sha256": "9f7986a4af43f01b3e74d1152a008a2aab5bd8ac8ecd5b3d76a8733e49791b23",
-      "bytes": 30290,
-      "rows": 2,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013521.lean\",\"3f177653aebee91b9ac4cef0776d2e582b225e394ba7427d5494c2091f28a2b5\",0,\"lean_workbook_plus_23972\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013522.lean\",\"22c098a0368e1aaf6235019a1156d5952a213f863af2a3a0741986b429fabaef\",0,\"lean_workbook_plus_68992\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013523.lean\",\"4827433b5026f69e2f17c8fea6f7dd28939a7bc58ed15d6d7647c223b78c551c\",0,\"lean_workbook_19001\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 346815,
+      "path": "data/train/p6d/oproofs-s00002-r00013520-n000004-0000-7eba60a82edec828.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "7eba60a82edec828ba35478918168b01862f70211532d1569a59fa6be4b78679"
+    },
+    {
+      "bytes": 30290,
+      "path": "data/dev/p6d/oproofs-s00002-r00013520-n000004-0000-9f7986a4af43f01b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "9f7986a4af43f01b3e74d1152a008a2aab5bd8ac8ecd5b3d76a8733e49791b23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013524-n000004.json b/manifests/batches/oproofs/s00002-r00013524-n000004.json
index 6ce97f000f7d5fc249639a17e1dd74dd9335f412..8139510b314ec9d1cf90cd65da18774207c89510 100644
--- a/manifests/batches/oproofs/s00002-r00013524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013524-n000004",
   "batch_fingerprint": "6da83facbb63cb9dc8ad0e7e2fa015cf84bba818ba0235cdf71700032b4e2db2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013524-n000004-0000-45d23354d674fcf3.parquet",
-      "sha256": "45d23354d674fcf35012ff42e9377d1a31bbaa05744e870218a8c6dc8b38f513",
-      "bytes": 391833,
-      "rows": 20,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013525.lean\",\"9d680e652af5b25e0d6f0d55f36076e63b6636e34a83263a98828876d3edf3db\",0,\"lean_workbook_plus_44775\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013526.lean\",\"39b5522e53f49ef8492cc17849103646d9df13ab690eed5bdb72a9c7df0ef248\",0,\"lean_workbook_19803\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013527.lean\",\"951609a106fcd3058c63e3a264e8ae10288a850f274080011d3363f9fdcb1c08\",0,\"lean_workbook_42264\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391833,
+      "path": "data/train/p8d/oproofs-s00002-r00013524-n000004-0000-45d23354d674fcf3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "45d23354d674fcf35012ff42e9377d1a31bbaa05744e870218a8c6dc8b38f513"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013528-n000004.json b/manifests/batches/oproofs/s00002-r00013528-n000004.json
index 223368031a3f56cbff0b6c1d7a9aa739c500c2c2..9ee0573a9cd762c131830e7152458914f7d643c5 100644
--- a/manifests/batches/oproofs/s00002-r00013528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013528-n000004",
   "batch_fingerprint": "1a9050de1030b2cc9e774e72c788dc1481bf053d4053280bb736d24b6ff0abe3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013528-n000004-0000-9f0b0fc5ea343c41.parquet",
-      "sha256": "9f0b0fc5ea343c41b11445c15064cab55d5e0bd8142967b7da5df6ce2c09b546",
-      "bytes": 828877,
-      "rows": 19,
-      "revision": "e4aff0dbf81ff3943beaa7e6d5ced5207cd649a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13529",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013529.lean\",\"aa5f5aa6d0dce0e494c0af5c81cf044257082462bc4663d6f4b75455d3f176ca\",0,\"lean_workbook_plus_72705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013530.lean\",\"d1e62a785fb3204c304d553f50b9fdb24429eec9b06fa169b3fa27ffe5311fe7\",0,\"lean_workbook_plus_80981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013531.lean\",\"56b8ea7724857e9f46414a39147d596cf3e04390acf3bc8294b1d2299f6ff78a\",0,\"lean_workbook_plus_60269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 828877,
+      "path": "data/train/pe0/oproofs-s00002-r00013528-n000004-0000-9f0b0fc5ea343c41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "9f0b0fc5ea343c41b11445c15064cab55d5e0bd8142967b7da5df6ce2c09b546"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013532-n000004.json b/manifests/batches/oproofs/s00002-r00013532-n000004.json
index c1f32f7f753040b425dfcfd86e7ca6ea11a54a51..4e580f67f52a661cf526974c2c3ddd037e67c30e 100644
--- a/manifests/batches/oproofs/s00002-r00013532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013532-n000004",
   "batch_fingerprint": "9ea05410f6668eee2b3c6d0995a05f19588c5fe9de5371257809e329d62682d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013532-n000004-0000-11066b6897397d74.parquet",
-      "sha256": "11066b6897397d7472cfc4695bbe67893961caca196868778bd5315a8ed344e4",
-      "bytes": 249155,
-      "rows": 25,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13533",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013533.lean\",\"eee13e4910594c2ea48f290566de4c377bb3e9bcb3dd0d433684f00ab5636110\",0,\"lean_workbook_plus_64376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013534.lean\",\"b436be5982bd1b8f0389509653f1cf211c5dd24756b7ac85a475425654f40efd\",0,\"lean_workbook_plus_3503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013535.lean\",\"d754246e53f239cdebba0f59376ee69f424fd1786a7bfeea06482bd8bee85504\",0,\"lean_workbook_plus_7249\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 249155,
+      "path": "data/train/pe9/oproofs-s00002-r00013532-n000004-0000-11066b6897397d74.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "11066b6897397d7472cfc4695bbe67893961caca196868778bd5315a8ed344e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013536-n000004.json b/manifests/batches/oproofs/s00002-r00013536-n000004.json
index b8814c02c2ea352859500a1adfeaa5b3f1921da8..9a19c2a19972774f9a7672fddaaa664825f6604c 100644
--- a/manifests/batches/oproofs/s00002-r00013536-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013536-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013536-n000004",
   "batch_fingerprint": "c559269936cede0763f76075f6002315cfdf3cd549c64ac7b62d220dd6c62d47",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013536-n000004-0000-fab0a1c3216f7af7.parquet",
-      "sha256": "fab0a1c3216f7af7b7f99b485c420328250f145f92c9fdf26338823d649e3f91",
-      "bytes": 98644,
-      "rows": 9,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013536-n000004-0000-39e29cab78840624.parquet",
-      "sha256": "39e29cab78840624181cadd9b6f7654295f64ff0196581f0d56f6244f19eb834",
-      "bytes": 80743,
-      "rows": 3,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13536",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13537",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013537.lean\",\"2450eb11d206d1d8a742a745f6ad0156b74b6293793050a15fab500160de065b\",0,\"lean_workbook_plus_74881\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013538.lean\",\"ea654c229b5c2a6171909706d1d360821d4d7e1e536724c6fd68b924a427f261\",0,\"lean_workbook_30116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013539.lean\",\"86c3390f9d29f9a4777194f3971e3f089ddeea381d78cdf7914e0d3d864fd8ce\",0,\"lean_workbook_plus_77404\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 98644,
+      "path": "data/train/p2e/oproofs-s00002-r00013536-n000004-0000-fab0a1c3216f7af7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fab0a1c3216f7af7b7f99b485c420328250f145f92c9fdf26338823d649e3f91"
+    },
+    {
+      "bytes": 80743,
+      "path": "data/internal_test/p2e/oproofs-s00002-r00013536-n000004-0000-39e29cab78840624.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "39e29cab78840624181cadd9b6f7654295f64ff0196581f0d56f6244f19eb834"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013540-n000004.json b/manifests/batches/oproofs/s00002-r00013540-n000004.json
index d6e9fc0b97dbcef95b26b20309b8c223c3341489..fc1669561a0d8f7f7ac3f3bb73f6e51a4552e2f5 100644
--- a/manifests/batches/oproofs/s00002-r00013540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013540-n000004",
   "batch_fingerprint": "fcad2af2361a4f59ef0ec5d807cecbacd5b264562bdbead4dbfc32ec8966a200",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013540-n000004-0000-7294d68d1f1bc04f.parquet",
-      "sha256": "7294d68d1f1bc04f148ea06bcdf6df901f316905dbd12a4fe4626acf14147c16",
-      "bytes": 406139,
-      "rows": 20,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013541.lean\",\"61c64b8e8016f717aa270a5f45585be7417bb38c9bfad0f3e6d3f04b2b3b19d9\",0,\"lean_workbook_plus_66769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013542.lean\",\"672660d1677f7dd0e839841f7779c9cd24acdc57af8a26b1fe11d0dec66d9ad3\",0,\"lean_workbook_plus_6864\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013543.lean\",\"65b96ce941aa21c5096fad6bb32f9a95c25b87f3e8860df515a9aaabccc4171b\",0,\"lean_workbook_plus_13212\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 406139,
+      "path": "data/train/p9d/oproofs-s00002-r00013540-n000004-0000-7294d68d1f1bc04f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "7294d68d1f1bc04f148ea06bcdf6df901f316905dbd12a4fe4626acf14147c16"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013544-n000004.json b/manifests/batches/oproofs/s00002-r00013544-n000004.json
index c7529c734890d52caef4b8dffed5213630a0e157..b255aa9a17cef3a51e2ed77d4fdc640bf1030997 100644
--- a/manifests/batches/oproofs/s00002-r00013544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013544-n000004",
   "batch_fingerprint": "83766fb36b1fda9d2d93e079756b2cc75466eaca599833314b7affb9f3357d48",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013544-n000004-0000-0567825153ce13aa.parquet",
-      "sha256": "0567825153ce13aa7bd31e9fa3cd17c7b078b1d5b7f69618a5991e7006260d2e",
-      "bytes": 187807,
-      "rows": 14,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013544-n000004-0000-851d25424e9b62b1.parquet",
-      "sha256": "851d25424e9b62b1dd38569427022fcf098c435069d14262713cdb9774df8eda",
-      "bytes": 183241,
-      "rows": 7,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13545",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013545.lean\",\"4c70a286a56f634abcd2a18d000225047c8b0f1340a5c4fead1f69b3fee745e3\",0,\"lean_workbook_plus_70131\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013546.lean\",\"40335b0f53f7cd98cc39a15d6fd2dcb211209c3d4e168a3ab25759d97b406d60\",0,\"lean_workbook_plus_51840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013547.lean\",\"b6090bc13a7a5e832cdcddc1f5f4c2deb943a0c7d43c4ea7a1182896d6c49c12\",0,\"lean_workbook_13689\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 187807,
+      "path": "data/train/p13/oproofs-s00002-r00013544-n000004-0000-0567825153ce13aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "0567825153ce13aa7bd31e9fa3cd17c7b078b1d5b7f69618a5991e7006260d2e"
+    },
+    {
+      "bytes": 183241,
+      "path": "data/internal_test/p13/oproofs-s00002-r00013544-n000004-0000-851d25424e9b62b1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "851d25424e9b62b1dd38569427022fcf098c435069d14262713cdb9774df8eda"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013548-n000004.json b/manifests/batches/oproofs/s00002-r00013548-n000004.json
index 5f63186b03ab733aee231c907d1f66e4e221ff1e..8dfccfb2edf34a432bdacd06a7d2b0af015ca23c 100644
--- a/manifests/batches/oproofs/s00002-r00013548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013548-n000004",
   "batch_fingerprint": "092eb4cf49e3fe498c1b6b20f7ac86577853885be09bf6291fa5daa665333eca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013548-n000004-0000-05391d0b40b35948.parquet",
-      "sha256": "05391d0b40b359480a9aa790d0b12c0e54cc1e6f092f5cf8c9ac838a448779f7",
-      "bytes": 137352,
-      "rows": 15,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013549.lean\",\"a38bcac1b6a8385e9f0b1a38c5bc1894cf372d3c0d931bc119a471756c912f54\",0,\"lean_workbook_plus_4209\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013550.lean\",\"2ae0a77c40d233ca79448a21b013a0664ec2dc93fc475aca74d719e8b4139c93\",0,\"lean_workbook_plus_24544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013551.lean\",\"d612c3379e5fb7b16e3439990ab98df25fd26173167abb975606b28c259f7995\",0,\"lean_workbook_46923\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 137352,
+      "path": "data/train/pc6/oproofs-s00002-r00013548-n000004-0000-05391d0b40b35948.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "05391d0b40b359480a9aa790d0b12c0e54cc1e6f092f5cf8c9ac838a448779f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013552-n000004.json b/manifests/batches/oproofs/s00002-r00013552-n000004.json
index 82f6ea4c1517f115ec069126cce83b1c144478dc..3a6566de1bef02415cd140244613740f00f6b82d 100644
--- a/manifests/batches/oproofs/s00002-r00013552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013552-n000004",
   "batch_fingerprint": "5cd5c1824da441f312784538022c095c5ed81ce01f395dbcdd15d245bb3a226d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013552-n000004-0000-bda248ba5e4dfe82.parquet",
-      "sha256": "bda248ba5e4dfe82f9a27ee51b6b70cca9c483258eed8a41e9cdf33724a43168",
-      "bytes": 252837,
-      "rows": 15,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13553",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013553.lean\",\"eac6ab9f48af7c09c6c8243a143de8231a70875c194ebaef764ec0f51a20e7fe\",0,\"lean_workbook_19072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013554.lean\",\"95fdaead345d2727b663e77b1e993aaf44e272e6deaa7425148d281ab49a69f7\",0,\"lean_workbook_plus_22962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013555.lean\",\"15d2cbe7398ff8ad378356d14df4498b8808e0cf4345f62c2f8ecf0b73a0d383\",0,\"tetrahedron_volume\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 252837,
+      "path": "data/train/pfa/oproofs-s00002-r00013552-n000004-0000-bda248ba5e4dfe82.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "bda248ba5e4dfe82f9a27ee51b6b70cca9c483258eed8a41e9cdf33724a43168"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013556-n000004.json b/manifests/batches/oproofs/s00002-r00013556-n000004.json
index 53b4fd6ac4a587ba15e15c2b5bb54c56bee56d51..eaa1c1ae3056265ebb544e95d847717f06e10cb2 100644
--- a/manifests/batches/oproofs/s00002-r00013556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013556-n000004",
   "batch_fingerprint": "4c461f68619646cb5be62c691a508ea3db0a2927516d31fb7c97b704e6d51e07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013556-n000004-0000-11149f6868b8a98a.parquet",
-      "sha256": "11149f6868b8a98a20409bea60d1f03bb9e5f69931ccb78eb8a24861bd8f4c55",
-      "bytes": 214509,
-      "rows": 10,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013556-n000004-0000-9fdf55e736196357.parquet",
-      "sha256": "9fdf55e736196357efc1decabc145028e0ca2107067c9838245c0d493e3772d5",
-      "bytes": 154694,
-      "rows": 7,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13557",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013557.lean\",\"8842d8ca0002b3c00df0787dd704504503b78ef77aa004716dfe91e5c3e3b7ed\",0,\"lean_workbook_plus_63042\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013558.lean\",\"8a95cebe2c3502062fd57ba3dbebed7c02e531f2fdc579d4099ce3ef0932416f\",0,\"lean_workbook_22410\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013559.lean\",\"9cd92911234f53f292e30ebac9757ad971014d5e3f38b663628782c91a53b4c5\",0,\"lean_workbook_plus_51840\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 214509,
+      "path": "data/train/pb3/oproofs-s00002-r00013556-n000004-0000-11149f6868b8a98a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "11149f6868b8a98a20409bea60d1f03bb9e5f69931ccb78eb8a24861bd8f4c55"
+    },
+    {
+      "bytes": 154694,
+      "path": "data/internal_test/pb3/oproofs-s00002-r00013556-n000004-0000-9fdf55e736196357.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "9fdf55e736196357efc1decabc145028e0ca2107067c9838245c0d493e3772d5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013560-n000004.json b/manifests/batches/oproofs/s00002-r00013560-n000004.json
index 988f40c4a199fd0004d7512ef00ad6300190225c..bd9a1c5c6491cfebb1d171fd033015bcb01fd47b 100644
--- a/manifests/batches/oproofs/s00002-r00013560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013560-n000004",
   "batch_fingerprint": "72d758160fff4a2fbc26fb2cc697d45cc00a8b74d3576ec18d7e436f931a1bdd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013560-n000004-0000-f8cda8a9da0409c9.parquet",
-      "sha256": "f8cda8a9da0409c993e3d0454fae76b4cf431e0a084d9e70388ce4de741d2b1b",
-      "bytes": 142863,
-      "rows": 12,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013560-n000004-0000-a71477ae44e06dcb.parquet",
-      "sha256": "a71477ae44e06dcbf1d87eb6f259bf72c9d7d922fd4bad6eb5a27cc688ad2b63",
-      "bytes": 122989,
-      "rows": 7,
-      "revision": "cec4ce40414beb4a6bec3de264876852581cc09b"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13560",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13561",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013561.lean\",\"d9e0e6cf4de036cb1b18449e1987309631eadea540191640b3c835bbdccf855b\",0,\"lean_workbook_plus_100295\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013562.lean\",\"3a739b4164f073263b0a8d3be6a2a59af4b798eab0bb875f37ef9740257a446c\",0,\"lean_workbook_17067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013563.lean\",\"8475bf81cb97677c5e3001f079032722820a400b4f635e41445e9477024951dd\",0,\"lean_workbook_plus_18054\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142863,
+      "path": "data/train/p8e/oproofs-s00002-r00013560-n000004-0000-f8cda8a9da0409c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f8cda8a9da0409c993e3d0454fae76b4cf431e0a084d9e70388ce4de741d2b1b"
+    },
+    {
+      "bytes": 122989,
+      "path": "data/internal_test/p8e/oproofs-s00002-r00013560-n000004-0000-a71477ae44e06dcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "a71477ae44e06dcbf1d87eb6f259bf72c9d7d922fd4bad6eb5a27cc688ad2b63"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013564-n000004.json b/manifests/batches/oproofs/s00002-r00013564-n000004.json
index 055ab524ffe71d59c6c2ebf46fe857537a48618f..ac1050fdfd978ba5beb83a576169838c938977ff 100644
--- a/manifests/batches/oproofs/s00002-r00013564-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013564-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013564-n000004",
   "batch_fingerprint": "78dd0ac550effd9766dae9f8cd4373bf38a95fc0105a7c9308a41f7cc8bc96cf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013564-n000004-0000-3e0195c0531139a6.parquet",
-      "sha256": "3e0195c0531139a6787d8842b4235cb9e55d808ec10137485e27ea2fe4752d79",
-      "bytes": 307649,
-      "rows": 11,
-      "revision": "e4aff0dbf81ff3943beaa7e6d5ced5207cd649a7"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013564-n000004-0000-cd3552cee9005c9a.parquet",
-      "sha256": "cd3552cee9005c9a4fe10a5f6b8c7834961fca8a9e0bfe47cd6464fa9680ab33",
-      "bytes": 277310,
-      "rows": 10,
-      "revision": "e4aff0dbf81ff3943beaa7e6d5ced5207cd649a7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13564",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13565",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013565.lean\",\"1cefa6eebbac8607fac74b73f0f4120a6e103025b8ae918e9f750aea261af569\",0,\"lean_workbook_plus_69465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013566.lean\",\"799ffc68316b4b3bc6a9e074071b709747e9a043ef0c5c8dd8dff473b57635bf\",0,\"lean_workbook_plus_19678\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013567.lean\",\"42c35e84bfa4070c9371c988b53c8a3671aa36196d6ee881686a40b4f579dc02\",0,\"lean_workbook_43903\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 307649,
+      "path": "data/train/pef/oproofs-s00002-r00013564-n000004-0000-3e0195c0531139a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "3e0195c0531139a6787d8842b4235cb9e55d808ec10137485e27ea2fe4752d79"
+    },
+    {
+      "bytes": 277310,
+      "path": "data/internal_test/pef/oproofs-s00002-r00013564-n000004-0000-cd3552cee9005c9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "cd3552cee9005c9a4fe10a5f6b8c7834961fca8a9e0bfe47cd6464fa9680ab33"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013568-n000004.json b/manifests/batches/oproofs/s00002-r00013568-n000004.json
index 0e60e90d3d88c18f8cd547faac809a4934be184a..83190eeaf6fb901ad3864e214902ab8f789d14b2 100644
--- a/manifests/batches/oproofs/s00002-r00013568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013568-n000004",
   "batch_fingerprint": "f55caa42ac368221f525ded6f328d21b8dbbf24959d1535a8f2a6cdf3ed46ade",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013568-n000004-0000-d3d4102ad77e7f27.parquet",
-      "sha256": "d3d4102ad77e7f276bb62955c47d3ec3bc5032e914aef2eefef3853329f06e7e",
-      "bytes": 384417,
-      "rows": 23,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013569.lean\",\"cd9ff9694c016bb8fc4a578184e0e96459a5699becb1a368a1cb542bb85ddf39\",0,\"lean_workbook_plus_31049\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013570.lean\",\"6a9cf46ec10be1b5bf7cd9135b04e8993fb9d79f09cfdd0ffd7fb94afef1b8b0\",0,\"lean_workbook_plus_40679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013571.lean\",\"f49cdf0c9d8201af9987ea079a202814162363c63ef54a2ecbcc3087b8ebdacd\",0,\"lean_workbook_plus_53756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 384417,
+      "path": "data/train/p54/oproofs-s00002-r00013568-n000004-0000-d3d4102ad77e7f27.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "d3d4102ad77e7f276bb62955c47d3ec3bc5032e914aef2eefef3853329f06e7e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013572-n000004.json b/manifests/batches/oproofs/s00002-r00013572-n000004.json
index e9e2b8357633082a029fb632a44f83be4bfbed64..95ac1d14c86cd2933a6f44e56cde44624e37e8f2 100644
--- a/manifests/batches/oproofs/s00002-r00013572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013572-n000004",
   "batch_fingerprint": "b3f02954fa25e646134d1219d7b5ef004685edc79a860dc646d75ec9d3b75329",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013572-n000004-0000-18626b4ee26b2cb2.parquet",
-      "sha256": "18626b4ee26b2cb28b4f6a21ec33c28b3f3c4e8d223eb11cc05d119c062533dd",
-      "bytes": 559114,
-      "rows": 25,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13573",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013573.lean\",\"95eaa42d6ebf0660e2fa2d19bd4c288a6ae0526df9c50ed4b7de210f405d68a6\",0,\"lean_workbook_17926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013574.lean\",\"83f6dec5ce9a4153b8c1fd5da27ee5b8c58fa5a3b7c5e0db994b14edec258823\",0,\"lean_workbook_25770\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013575.lean\",\"95c015441a3013307120c382836d8e52172c1d2add06911b0d6b7a92f0e8222a\",0,\"lean_workbook_plus_10805\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 559114,
+      "path": "data/train/pf8/oproofs-s00002-r00013572-n000004-0000-18626b4ee26b2cb2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "18626b4ee26b2cb28b4f6a21ec33c28b3f3c4e8d223eb11cc05d119c062533dd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013576-n000004.json b/manifests/batches/oproofs/s00002-r00013576-n000004.json
index f497f7aba593fc93cc519c5f4755f5fbf86af32d..fbf354789f7030d6a849dc24edd577538e8d88ee 100644
--- a/manifests/batches/oproofs/s00002-r00013576-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013576-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013576-n000004",
   "batch_fingerprint": "b57a91a84f4165a5c28113762aceb53697bad1ffd4fd0af4e7583eda401a8a7c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013576-n000004-0000-60871632b8d390dd.parquet",
-      "sha256": "60871632b8d390dd3a626a13163406c690cab920e96bc417be10f5f6ed7a21cd",
-      "bytes": 453412,
-      "rows": 25,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13576",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13577",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013577.lean\",\"3934f2e3dce7a179496fe36869af51dee89d15198a7c4cf113a28d1ff0297b4c\",0,\"lean_workbook_plus_6997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013578.lean\",\"2a21c09c7ddebf5548d16b0e1465f65054e364d1a19f6b139fbbb9f9a6817e83\",0,\"lean_workbook_plus_57417\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013579.lean\",\"1233b02fb8fd63cd33aafe67fcab0b03e6e730092bee9a7e37ac989345266c4d\",0,\"lean_workbook_plus_81931\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 453412,
+      "path": "data/train/p47/oproofs-s00002-r00013576-n000004-0000-60871632b8d390dd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "60871632b8d390dd3a626a13163406c690cab920e96bc417be10f5f6ed7a21cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013580-n000004.json b/manifests/batches/oproofs/s00002-r00013580-n000004.json
index b9398ce539a0ea4cdf030427915c0921ead318ef..072c9247c4ddab1f55b02fad66cf26c6812f1483 100644
--- a/manifests/batches/oproofs/s00002-r00013580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013580-n000004",
   "batch_fingerprint": "734aa495eb1c0c15bf57c7ac9012bfa3a12dd4c4eddf25029138790f64d442f4",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13580",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13581",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13582",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13583"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013580.lean\",\"c22548b1c6ab981d8c4c21df235e1c9320e52e53e775e88be4d091ae85aa4c77\",0,\"lean_workbook_plus_51981\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013581.lean\",\"203b75be5e983075bfc16104f6b53a7f9219cb7bbd17698c6a1b5e0b066d0eec\",0,\"lean_workbook_plus_30911\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013582.lean\",\"42a8bea313f15c0593b879511779385574ba2a82a5ba506203866e1ded52a249\",0,\"lean_workbook_plus_44685\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013583.lean\",\"3a3a7394f89414832adb76522677d62b094be7533cfa3235811eea9ae9a21029\",0,\"lean_workbook_43372\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013580-n000004-0000-6877ba45ebf2a5f3.parquet",
-      "sha256": "6877ba45ebf2a5f37c543fd38d99ca054c337a3ade9912bb40b3534386a3838d",
       "bytes": 182486,
+      "path": "data/train/p56/oproofs-s00002-r00013580-n000004-0000-6877ba45ebf2a5f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "6877ba45ebf2a5f37c543fd38d99ca054c337a3ade9912bb40b3534386a3838d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013580-n000004-0001-b18daf20dcd06110.parquet",
-      "sha256": "b18daf20dcd06110edfb0acfb257f97cc13fedc5c643c27294f12574291278c0",
       "bytes": 1324799,
+      "path": "data/train/p56/oproofs-s00002-r00013580-n000004-0001-b18daf20dcd06110.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "b18daf20dcd06110edfb0acfb257f97cc13fedc5c643c27294f12574291278c0"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013580-n000004-0002-ee46291d8ab47bb8.parquet",
-      "sha256": "ee46291d8ab47bb8ae22473fc140590ef3fb7992d63062cdfaafd02ddf5e27af",
       "bytes": 114690,
+      "path": "data/train/p56/oproofs-s00002-r00013580-n000004-0002-ee46291d8ab47bb8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "ee46291d8ab47bb8ae22473fc140590ef3fb7992d63062cdfaafd02ddf5e27af"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13580",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13581",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13582",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13583"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013580.lean\",\"c22548b1c6ab981d8c4c21df235e1c9320e52e53e775e88be4d091ae85aa4c77\",0,\"lean_workbook_plus_51981\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013581.lean\",\"203b75be5e983075bfc16104f6b53a7f9219cb7bbd17698c6a1b5e0b066d0eec\",0,\"lean_workbook_plus_30911\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013582.lean\",\"42a8bea313f15c0593b879511779385574ba2a82a5ba506203866e1ded52a249\",0,\"lean_workbook_plus_44685\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013583.lean\",\"3a3a7394f89414832adb76522677d62b094be7533cfa3235811eea9ae9a21029\",0,\"lean_workbook_43372\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013584-n000004.json b/manifests/batches/oproofs/s00002-r00013584-n000004.json
index 815f8fa9410941f291b1a1cac2a758ad3e122df4..da755fe121894aff1de83d8378bdb80b22487e2a 100644
--- a/manifests/batches/oproofs/s00002-r00013584-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013584-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013584-n000004",
   "batch_fingerprint": "05e3d002bf5f081bb66f2b1f30ec440ec30dafdaaa0e970014a5f538477cbf47",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013584-n000004-0000-4f83c9666afaf9a3.parquet",
-      "sha256": "4f83c9666afaf9a3db13d6761c1138a9d10e14f52d854f33b0d407018667dc22",
-      "bytes": 242724,
-      "rows": 19,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13584",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13585",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013585.lean\",\"aabee57808420710c41a2e2f2cffee43edd3b9078059f462d18fe779564b667f\",0,\"lean_workbook_plus_31469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013586.lean\",\"a59fab11aac4b53ee45999fd2abbc5ebff114896068154a7dda9f8cc46c0d8af\",0,\"lean_workbook_47579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013587.lean\",\"247f5c0f11bd471d38e5108ad4face9853a0ae9444aeb76adbd60de2d0217919\",0,\"lean_workbook_plus_40062\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 242724,
+      "path": "data/train/p64/oproofs-s00002-r00013584-n000004-0000-4f83c9666afaf9a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "4f83c9666afaf9a3db13d6761c1138a9d10e14f52d854f33b0d407018667dc22"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013588-n000004.json b/manifests/batches/oproofs/s00002-r00013588-n000004.json
index 997c90421a92698c9ee972e68bc0d7235019de72..eed727b1e21113008c6b810ab8e70afd8f8fcc04 100644
--- a/manifests/batches/oproofs/s00002-r00013588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013588-n000004",
   "batch_fingerprint": "b07041b5a9e00dd016a2ebdd6d549daca5b9234f683952c09c7844994d9bc28c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013588-n000004-0000-78ddedd3fb7ad5fb.parquet",
-      "sha256": "78ddedd3fb7ad5fb7de39487e38078410a990f5dc9d7cdd16296c45e2e186c13",
-      "bytes": 395969,
-      "rows": 15,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013588-n000004-0000-54d1a335145342d8.parquet",
-      "sha256": "54d1a335145342d8a5673764ab79762e9f79799fa49ca7b7b03d210d4794f78f",
-      "bytes": 55457,
-      "rows": 2,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013589.lean\",\"a947caf4577ce5c8951af55ca951639de9bcc57c1feb71d213b6ec1d8b68b3e6\",0,\"lean_workbook_plus_50197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013590.lean\",\"0ae398da76c8b993cdd790caddce9948c5a2414cb97832d74b6a2c8172a2f3ad\",0,\"lean_workbook_plus_24596\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013591.lean\",\"733b632bd7c8b4ea957f02dca8f6383aff5457607ab146797059e7dedba12ad2\",0,\"lean_workbook_39999\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 395969,
+      "path": "data/train/pb2/oproofs-s00002-r00013588-n000004-0000-78ddedd3fb7ad5fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "78ddedd3fb7ad5fb7de39487e38078410a990f5dc9d7cdd16296c45e2e186c13"
+    },
+    {
+      "bytes": 55457,
+      "path": "data/internal_test/pb2/oproofs-s00002-r00013588-n000004-0000-54d1a335145342d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "54d1a335145342d8a5673764ab79762e9f79799fa49ca7b7b03d210d4794f78f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013592-n000004.json b/manifests/batches/oproofs/s00002-r00013592-n000004.json
index f8c641e1484aefcfdfd6c88716750d9a7a1c5a3b..b08b65ecd53f678621fc81463cc5cc1ca79a78c5 100644
--- a/manifests/batches/oproofs/s00002-r00013592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013592-n000004",
   "batch_fingerprint": "10d9db26da6deb68d440d67cf288a0c0ae2a1e1b7f0f481d87fca808d67653be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013592-n000004-0000-b529a9310ac44722.parquet",
-      "sha256": "b529a9310ac44722cdc21d22b71cff76540edebb41bf093fe13b9de370e95671",
-      "bytes": 575216,
-      "rows": 22,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13593",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013593.lean\",\"6b69c357ab9e744aab801c753f11420b0300ed9b9c9b81a15a57b438b928b743\",0,\"lean_workbook_plus_23192\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013594.lean\",\"17794caabaf6c63d32368412cc2f5b64a77f44493f0230517d38277c87fea441\",0,\"lean_workbook_43427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013595.lean\",\"2c88cd85514ff991c123648d75f0b6f38df47c7931e7aafcf738bf7a71fa0a51\",0,\"lean_workbook_plus_51857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 575216,
+      "path": "data/train/p43/oproofs-s00002-r00013592-n000004-0000-b529a9310ac44722.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b529a9310ac44722cdc21d22b71cff76540edebb41bf093fe13b9de370e95671"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013596-n000004.json b/manifests/batches/oproofs/s00002-r00013596-n000004.json
index 2cb0de2a23a9093a21397cdc503fe92e967721e1..12e3af67a287dec27763f3eff13f1db6171e0513 100644
--- a/manifests/batches/oproofs/s00002-r00013596-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013596-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013596-n000004",
   "batch_fingerprint": "7b4eb1a146e0c1578c7fdff43d24b748d52fb25f0ebf44141945715ffd3aae61",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013596-n000004-0000-1ffddfefd8364db9.parquet",
-      "sha256": "1ffddfefd8364db9d4c983b40ed618713749d5cb11f43df800533040df1dbf40",
-      "bytes": 315185,
-      "rows": 18,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13596",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13597",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013597.lean\",\"ef5e9e382a32090213e025fc28e192e9646c1bf1546489ce9654afd9d2197547\",0,\"lean_workbook_plus_72269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013598.lean\",\"8fe7b27f2272187d41ed5d8b424ebeca8c46f48951ed45ec27bdd6ee7931b290\",0,\"lean_workbook_plus_3698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013599.lean\",\"da084633462c8a9cd25331c72dc58d5b7f6c98128c4987ee61848ba1acb6c047\",0,\"lean_workbook_plus_64797\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 315185,
+      "path": "data/train/pb3/oproofs-s00002-r00013596-n000004-0000-1ffddfefd8364db9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "1ffddfefd8364db9d4c983b40ed618713749d5cb11f43df800533040df1dbf40"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013600-n000004.json b/manifests/batches/oproofs/s00002-r00013600-n000004.json
index f330bf2b8a64bc2b98ce62305a3fef9c17497857..eab723965a7b2e7f4af691ee42332713a29c07dd 100644
--- a/manifests/batches/oproofs/s00002-r00013600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013600-n000004",
   "batch_fingerprint": "365bf88e75ab5e670019709b391a84bdc85fc84dc0fd954b6389e11106654fd4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013600-n000004-0000-6850ea1ed97f955e.parquet",
-      "sha256": "6850ea1ed97f955ee833169b9e12c5f0ee9ef2b3c90c27bbad1910c49e165793",
-      "bytes": 494881,
-      "rows": 17,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13600",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13601",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013601.lean\",\"2af97316be8b6b3261daa30f21326a399703da2293f0bce8299d715c52913ce7\",0,\"lean_workbook_plus_60134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013602.lean\",\"e24dac92be7229e56ffeb88763136ccacaefc89d0b803b9e91d9e659f872a355\",0,\"lean_workbook_plus_18134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013603.lean\",\"e4387890aedcb2c59b5370b734580f6802a2a95a440c85a40b5db801df8e129c\",0,\"lean_workbook_10925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 494881,
+      "path": "data/train/p05/oproofs-s00002-r00013600-n000004-0000-6850ea1ed97f955e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "6850ea1ed97f955ee833169b9e12c5f0ee9ef2b3c90c27bbad1910c49e165793"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013604-n000004.json b/manifests/batches/oproofs/s00002-r00013604-n000004.json
index 852dda7338ca62c4b42a13bdf6696b04e45bb22c..b36a726982d7f6d358e289fcad411cfaab7481f2 100644
--- a/manifests/batches/oproofs/s00002-r00013604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013604-n000004",
   "batch_fingerprint": "5a46f5308b32f44444a330af39c28edfe65d1e05f8083a3206797603709dfd58",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013604-n000004-0000-98d651ea78db6e6e.parquet",
-      "sha256": "98d651ea78db6e6e29a901ef0c946c1c94f44b87283413e6fc53f5c5bbc588cf",
-      "bytes": 197235,
-      "rows": 21,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013605.lean\",\"9a988cf650e5f36605d9bde52fe31e29f5931feeefb17f0f2859671474d5fac3\",0,\"lean_workbook_plus_28010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013606.lean\",\"1b746659b70c4dfcaecfe2e67f52d27c2539e918f6f30a045416569c267093ee\",0,\"lean_workbook_plus_64376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013607.lean\",\"34d5cc5bc18382501396a41c1fa1a9cdccaa9227b13991e022673123145166b8\",0,\"lean_workbook_16138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197235,
+      "path": "data/train/pbe/oproofs-s00002-r00013604-n000004-0000-98d651ea78db6e6e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "98d651ea78db6e6e29a901ef0c946c1c94f44b87283413e6fc53f5c5bbc588cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013608-n000004.json b/manifests/batches/oproofs/s00002-r00013608-n000004.json
index c5220163097cf5dc82bc6aeed693226dd501595c..74e65a37df9076acba2a8023800fb468eecaae73 100644
--- a/manifests/batches/oproofs/s00002-r00013608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013608-n000004",
   "batch_fingerprint": "80a7a404cb083e84d1ca118352fa2130eccc7679f2acf70ec434b12fea1dac4a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013608-n000004-0000-1d98ffededfb640e.parquet",
-      "sha256": "1d98ffededfb640ec1e9fca975906bc982bb9e0d5ecd3da6cd62961a678a14c1",
-      "bytes": 186215,
-      "rows": 14,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013608-n000004-0000-e1b8ac19d5d7d2c2.parquet",
-      "sha256": "e1b8ac19d5d7d2c2fdf8acf266fcedaf6c68a4f3625a303904a02b1b7cf0b424",
-      "bytes": 65935,
-      "rows": 2,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013609.lean\",\"b63ca5f2882e0fcdd779bb8e85fa20393dc59310cee6260a4262f42cbf98fbcb\",0,\"lean_workbook_plus_80981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013610.lean\",\"fbc17bd845c3de53d1b138af479b5ae114a131bf7d2a28cd989a0406fc9e4ec1\",0,\"lean_workbook_plus_43619\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013611.lean\",\"b59cf46c255e8ebbf8afdbe31dab2fb1335f6970cd03902b9b05741ba328adb3\",0,\"lean_workbook_plus_24816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 186215,
+      "path": "data/train/p24/oproofs-s00002-r00013608-n000004-0000-1d98ffededfb640e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "1d98ffededfb640ec1e9fca975906bc982bb9e0d5ecd3da6cd62961a678a14c1"
+    },
+    {
+      "bytes": 65935,
+      "path": "data/dev/p24/oproofs-s00002-r00013608-n000004-0000-e1b8ac19d5d7d2c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "e1b8ac19d5d7d2c2fdf8acf266fcedaf6c68a4f3625a303904a02b1b7cf0b424"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013612-n000004.json b/manifests/batches/oproofs/s00002-r00013612-n000004.json
index c9c56a258f1481a8f686e908378eaebce491c314..4fa2dc41cdae3bcbbde44dd74b985b9313342690 100644
--- a/manifests/batches/oproofs/s00002-r00013612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013612-n000004",
   "batch_fingerprint": "4fb0b3192607fd84a68ada7d7605845cdfc1f511a54c365f53b58dac03940297",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013612-n000004-0000-d6839e1b26f7306f.parquet",
-      "sha256": "d6839e1b26f7306fa606b9b61979ad76b5f23d4e028d96d032dbe2557df5ff11",
-      "bytes": 208886,
-      "rows": 19,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013613.lean\",\"aecd834644b7c15299a31959c1107f9629f85743ff53432d9037069a252693d9\",0,\"cell_growth_nine_days\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013614.lean\",\"a7f8e2f7fb7c5e49ab91966907ba45a6d973be45d8bcb0c2986c9b42ccc501f0\",0,\"lean_workbook_plus_16997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013615.lean\",\"1839248cb60f3d4297418e2d55902a7bf14c62641c118659fab3274ec05f5e8e\",0,\"lean_workbook_plus_6864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208886,
+      "path": "data/train/p6b/oproofs-s00002-r00013612-n000004-0000-d6839e1b26f7306f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "d6839e1b26f7306fa606b9b61979ad76b5f23d4e028d96d032dbe2557df5ff11"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013616-n000004.json b/manifests/batches/oproofs/s00002-r00013616-n000004.json
index e560b2ed6194f7e87836d12a1dbee45de42a7a72..e0e32a5cd172c823c9d515243cc575409a4eb124 100644
--- a/manifests/batches/oproofs/s00002-r00013616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013616-n000004",
   "batch_fingerprint": "da54c58373642eec6d62f3f6727530f240fe32d7f4adc8e52c6c5029859e7839",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013616-n000004-0000-86a0e8fe94aa216f.parquet",
-      "sha256": "86a0e8fe94aa216f741bd529d88b08162894e4f0e39ca7ef5e222b690000c126",
-      "bytes": 558851,
-      "rows": 19,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13617",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013617.lean\",\"7faa52d6b8ecdf65c9bb3400a9efaee2d9780e477389d13017646d140d82e0d7\",0,\"lean_workbook_plus_45693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013618.lean\",\"6647b8fca4f0810cb78113a302fe540a97ce8716f993d99683966351cdcaacff\",0,\"lean_workbook_plus_42762\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013619.lean\",\"f938d5632e2ec6b9afc314f63029f581e237e84a34336ed2f89acc1d11adb7fa\",0,\"lean_workbook_plus_78748\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 558851,
+      "path": "data/train/p03/oproofs-s00002-r00013616-n000004-0000-86a0e8fe94aa216f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "86a0e8fe94aa216f741bd529d88b08162894e4f0e39ca7ef5e222b690000c126"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013620-n000004.json b/manifests/batches/oproofs/s00002-r00013620-n000004.json
index a84a7056d613a6822f063123ffe8a62b34fb2773..fc7ffbded87ae03720e008ca1d59814973976556 100644
--- a/manifests/batches/oproofs/s00002-r00013620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013620-n000004",
   "batch_fingerprint": "d92e83da34f2b903db2eff1505241474edac8fc4e997c210171b2983343c0969",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013620-n000004-0000-6608a97d7637aa54.parquet",
-      "sha256": "6608a97d7637aa548f6e329bbefa16d0fe817f6e292c749363d496f5f2d31c59",
-      "bytes": 94045,
-      "rows": 10,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13621",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013621.lean\",\"cb81190cd86b459d106354edf6708b44fa79101c167d200fa9c5c3d2be9ee333\",0,\"lean_workbook_46923\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013622.lean\",\"2ca2b7bc7c57df4598ddbfac62fefd9804553fd2ddc00abc4d5b17126cdc5aca\",0,\"lean_workbook_19072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013623.lean\",\"f242b6abc82df4d7f5a2e194f8846f7cae6aa97227d1d6596d34f77cc90c3634\",0,\"lean_workbook_plus_22962\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 94045,
+      "path": "data/train/pa0/oproofs-s00002-r00013620-n000004-0000-6608a97d7637aa54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6608a97d7637aa548f6e329bbefa16d0fe817f6e292c749363d496f5f2d31c59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013624-n000004.json b/manifests/batches/oproofs/s00002-r00013624-n000004.json
index e2a892839ef1d1b435f85da9dc5054d166c3fee6..f63b7c7541504187b3c46e5b727ed149109cd362 100644
--- a/manifests/batches/oproofs/s00002-r00013624-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013624-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013624-n000004",
   "batch_fingerprint": "d83c0dcc350ee3a1e1ff2af4c79adefb7ad44e94ef735a5d3b7709813f671e77",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013624-n000004-0000-a0db55f668d29ef9.parquet",
-      "sha256": "a0db55f668d29ef9be760661148aace97e21cdd146e6976aa7c58e2c1bad97b3",
-      "bytes": 182273,
-      "rows": 15,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013624-n000004-0000-d91cf9e7da227d4c.parquet",
-      "sha256": "d91cf9e7da227d4c957e76dd4e7c066b2e1b578fda7af872b115bd608c4f97cd",
-      "bytes": 80997,
-      "rows": 4,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13624",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13625",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013625.lean\",\"7ebe20239225723429ef9c8bf5a297b7eaa72871b6abf88c86c2b976b257df35\",0,\"lean_workbook_plus_71798\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013626.lean\",\"ea314756c5a8b1b30285f5515edb6a718e4e63774fe8842161c3f28173494de9\",0,\"lean_workbook_plus_41136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013627.lean\",\"8035e5e774736f0897857642903dadf488c2835495019f1f8e3e0dd2a93ef50d\",0,\"lean_workbook_plus_63042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182273,
+      "path": "data/train/pdd/oproofs-s00002-r00013624-n000004-0000-a0db55f668d29ef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a0db55f668d29ef9be760661148aace97e21cdd146e6976aa7c58e2c1bad97b3"
+    },
+    {
+      "bytes": 80997,
+      "path": "data/internal_test/pdd/oproofs-s00002-r00013624-n000004-0000-d91cf9e7da227d4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d91cf9e7da227d4c957e76dd4e7c066b2e1b578fda7af872b115bd608c4f97cd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013628-n000004.json b/manifests/batches/oproofs/s00002-r00013628-n000004.json
index d30171609e8eb76235a34676804812c6a196cf23..f0914e122671563bf6d8a33e1625eda80f1e5d01 100644
--- a/manifests/batches/oproofs/s00002-r00013628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013628-n000004",
   "batch_fingerprint": "09af05074ffaa0b1dca388878993d354ec52dd0e2f4715a70165b62d8f1df1e9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13628",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13629",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13630",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13631"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013628.lean\",\"a0d854a91cc0f2f1e2df26773dc3544e46ce64859f045abf6259fdb48630a354\",0,\"lean_workbook_plus_70131\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013629.lean\",\"d43b2d6bd28b403db342bf0cbe155080fe532fef5cb49ff247cb953e7e4f7d56\",0,\"lean_workbook_22410\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013630.lean\",\"23c6d35156fa9e97f58d21f4861a7ec643751f00791c51ef0322270123c27148\",0,\"lean_workbook_plus_35795\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013631.lean\",\"a8534d77f67ddd033ff58a60c234f7951e36e9a5a47ce4c56578b7c76ff2b16b\",0,\"lean_workbook_plus_51840\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013628-n000004-0000-63cbace51f4dc255.parquet",
-      "sha256": "63cbace51f4dc255f4c415c4f31eb5248d5e7f4bd10fbb4d6aed4bc7d4841f74",
       "bytes": 1051330,
+      "path": "data/train/p65/oproofs-s00002-r00013628-n000004-0000-63cbace51f4dc255.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "63cbace51f4dc255f4c415c4f31eb5248d5e7f4bd10fbb4d6aed4bc7d4841f74"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013628-n000004-0001-bd6772efc01474ac.parquet",
-      "sha256": "bd6772efc01474acf4e37e244726dd92176a2c77b5dc07553541f6008b55b5b8",
       "bytes": 129957,
+      "path": "data/train/p65/oproofs-s00002-r00013628-n000004-0001-bd6772efc01474ac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "bd6772efc01474acf4e37e244726dd92176a2c77b5dc07553541f6008b55b5b8"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013628-n000004-0000-be5809f7d990614e.parquet",
-      "sha256": "be5809f7d990614eef45ac33b856fc18f1850245d9c0818bdf6bd07406439a47",
       "bytes": 117208,
+      "path": "data/internal_test/p65/oproofs-s00002-r00013628-n000004-0000-be5809f7d990614e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "be5809f7d990614eef45ac33b856fc18f1850245d9c0818bdf6bd07406439a47"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13628",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13629",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13630",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13631"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013628.lean\",\"a0d854a91cc0f2f1e2df26773dc3544e46ce64859f045abf6259fdb48630a354\",0,\"lean_workbook_plus_70131\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013629.lean\",\"d43b2d6bd28b403db342bf0cbe155080fe532fef5cb49ff247cb953e7e4f7d56\",0,\"lean_workbook_22410\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013630.lean\",\"23c6d35156fa9e97f58d21f4861a7ec643751f00791c51ef0322270123c27148\",0,\"lean_workbook_plus_35795\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013631.lean\",\"a8534d77f67ddd033ff58a60c234f7951e36e9a5a47ce4c56578b7c76ff2b16b\",0,\"lean_workbook_plus_51840\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013632-n000004.json b/manifests/batches/oproofs/s00002-r00013632-n000004.json
index 7d2f806a339d6c76b4eec550f607f2c4ce2f22ec..79b08c5c46be44bf34c695ee384fafbddd1f61e5 100644
--- a/manifests/batches/oproofs/s00002-r00013632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013632-n000004",
   "batch_fingerprint": "584ca1d6358d73f50ad4667f35c8cbf9c5c102469002d7de55b8392dd459092b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013632-n000004-0000-431bf8bc35bdcdce.parquet",
-      "sha256": "431bf8bc35bdcdce0c6df21695e1fb0b8456c86b31c165bfc8c34dbe2c137610",
-      "bytes": 88461,
-      "rows": 12,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013632-n000004-0000-422eda95fe603a9b.parquet",
-      "sha256": "422eda95fe603a9b1f4bfe8dc589b639c1d12362077b9b22eee1c0dc60ae2481",
-      "bytes": 89622,
-      "rows": 5,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13633",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013633.lean\",\"a643822def3dfacf9622bc041f5fd4e14fef2ce2a3a0530223a431979445abf6\",0,\"lean_workbook_plus_18054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013634.lean\",\"6ae0f8957bf3574f93f23776aca4b9c4522ba52363669787e7d722fabedbe6e2\",0,\"lean_workbook_17067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013635.lean\",\"116150a81a89b8a155daabe5c708542ab5f1b46e0cd945d3db2aace63e16e1aa\",0,\"lean_workbook_plus_19678\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 88461,
+      "path": "data/train/pbb/oproofs-s00002-r00013632-n000004-0000-431bf8bc35bdcdce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "431bf8bc35bdcdce0c6df21695e1fb0b8456c86b31c165bfc8c34dbe2c137610"
+    },
+    {
+      "bytes": 89622,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00013632-n000004-0000-422eda95fe603a9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "422eda95fe603a9b1f4bfe8dc589b639c1d12362077b9b22eee1c0dc60ae2481"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013636-n000004.json b/manifests/batches/oproofs/s00002-r00013636-n000004.json
index 1370e266bd98d3b63cbdfa29d09268e3f32088a5..9a2fc3f819a1089b741b86952a2f51656f7a1260 100644
--- a/manifests/batches/oproofs/s00002-r00013636-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013636-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013636-n000004",
   "batch_fingerprint": "a58d5ef5e12fa9367e7f566de26b858ed2e73179bc1b1e90346aeb423b0626b1",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13636",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13637",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13638",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13639"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013636.lean\",\"eb8151f94cb71cb12bb9787281214738e2f944e7e173b78f88eeef58ca26930a\",0,\"lean_workbook_plus_68554\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013637.lean\",\"f587d1e1d4fadbaf2eaf095d6e283447533d291c204194ba421c254808b3913e\",0,\"lean_workbook_plus_77719\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013638.lean\",\"249853af27a2adb76fbaf6b91d28ba1d0cbea79343c2af448a939d959d187a91\",0,\"lean_workbook_43903\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013639.lean\",\"b75282f035a75833d4d87eaf01c8672af86fb4c68f447280401c596a7719b3cf\",0,\"lean_workbook_22605\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013636-n000004-0000-4f1d7def38f22bd4.parquet",
-      "sha256": "4f1d7def38f22bd4ccc683a7b950e5eef1b620cd0e8a59c8cc91ffccac545576",
       "bytes": 239267,
+      "path": "data/train/p7f/oproofs-s00002-r00013636-n000004-0000-4f1d7def38f22bd4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "4f1d7def38f22bd4ccc683a7b950e5eef1b620cd0e8a59c8cc91ffccac545576"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013636-n000004-0000-21a9cff22df188c9.parquet",
-      "sha256": "21a9cff22df188c9f0cda1fc48eb44734a40262b5e7407c7f6a66f33e52c5417",
       "bytes": 291569,
+      "path": "data/dev/p7f/oproofs-s00002-r00013636-n000004-0000-21a9cff22df188c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "21a9cff22df188c9f0cda1fc48eb44734a40262b5e7407c7f6a66f33e52c5417"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013636-n000004-0000-52584c73342589fa.parquet",
-      "sha256": "52584c73342589fab8d4fa514ebcf75ad4d71e2c76365c6bb23d9a7129ab0545",
       "bytes": 400485,
+      "path": "data/internal_test/p7f/oproofs-s00002-r00013636-n000004-0000-52584c73342589fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
+      "sha256": "52584c73342589fab8d4fa514ebcf75ad4d71e2c76365c6bb23d9a7129ab0545"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13636",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13637",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13638",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13639"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013636.lean\",\"eb8151f94cb71cb12bb9787281214738e2f944e7e173b78f88eeef58ca26930a\",0,\"lean_workbook_plus_68554\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013637.lean\",\"f587d1e1d4fadbaf2eaf095d6e283447533d291c204194ba421c254808b3913e\",0,\"lean_workbook_plus_77719\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013638.lean\",\"249853af27a2adb76fbaf6b91d28ba1d0cbea79343c2af448a939d959d187a91\",0,\"lean_workbook_43903\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013639.lean\",\"b75282f035a75833d4d87eaf01c8672af86fb4c68f447280401c596a7719b3cf\",0,\"lean_workbook_22605\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013640-n000004.json b/manifests/batches/oproofs/s00002-r00013640-n000004.json
index b504ea4b65a1455fc2a5ddf9247002ca9836a49d..d77a9934069b049804fabf5c0d042f02c997bacf 100644
--- a/manifests/batches/oproofs/s00002-r00013640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013640-n000004",
   "batch_fingerprint": "aa0bd1ccc2c496bc1a72c59b468220ed8d730734f4574f6f4abd441c46d2d9a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013640-n000004-0000-70f8c8816b3c4fd5.parquet",
-      "sha256": "70f8c8816b3c4fd53fad028a30a03814d8c2760e86b2efea2a4c6f9851ac0171",
-      "bytes": 232031,
-      "rows": 21,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013641.lean\",\"4ddddf0878edcbb260ed8891856ffd6c532fefae437f8febeb9ac74b2e6fbd82\",0,\"lean_workbook_plus_31049\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013642.lean\",\"b84676b4e5c1ee76487c7a9da7e23fe99320a4eb63a82d47f8d2139706d5fb06\",0,\"complex_quadratic_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013643.lean\",\"6508d61bb116cde4827611f01d8f6de7af37bdd675e6a1bf1017a8b22abc7cdc\",0,\"lean_workbook_27756\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 232031,
+      "path": "data/train/pbe/oproofs-s00002-r00013640-n000004-0000-70f8c8816b3c4fd5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "70f8c8816b3c4fd53fad028a30a03814d8c2760e86b2efea2a4c6f9851ac0171"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013644-n000004.json b/manifests/batches/oproofs/s00002-r00013644-n000004.json
index 64d550026c1cf8f38280a36bcd5ea9cd39e9a416..9520e088c01c181451874c0190d11cf2f97b4100 100644
--- a/manifests/batches/oproofs/s00002-r00013644-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013644-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013644-n000004",
   "batch_fingerprint": "5ebfd3dbf026c9efcaaa0b9a332b8f77f6e8dc4c282d1f9809658e9310049661",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013644-n000004-0000-39da2bcc30388cb9.parquet",
-      "sha256": "39da2bcc30388cb9c66d3510746bfca492b1fbf0626c0925526f0ca41a023fb2",
-      "bytes": 285122,
-      "rows": 26,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13644",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13645",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013645.lean\",\"1cf060da029d6b0e7b9806fd0899e35e350f3edeabee22bfb0175665e304194e\",0,\"lean_workbook_17926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013646.lean\",\"effddf11f37117119c38606e5fe4f784b86b919c3103d298da2814c7028e43a2\",0,\"lean_workbook_plus_6997\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013647.lean\",\"6c3a86bd31614d6f445c8980b7d850d5169f0635f8b8eeaba5c4a51065a10aec\",0,\"lean_workbook_plus_57417\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285122,
+      "path": "data/train/pc6/oproofs-s00002-r00013644-n000004-0000-39da2bcc30388cb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "39da2bcc30388cb9c66d3510746bfca492b1fbf0626c0925526f0ca41a023fb2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013648-n000004.json b/manifests/batches/oproofs/s00002-r00013648-n000004.json
index f61138adbde4107091e50fbdd35ee212eef95d21..8cc8e7e201ae1315d7cf140b6e1c36e21f172ba4 100644
--- a/manifests/batches/oproofs/s00002-r00013648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013648-n000004",
   "batch_fingerprint": "5e5264eb75edcfcec2d3744f989ee0f14b83be6ddba2176833052f22f377ed8e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013648-n000004-0000-5b90cc17300ec0b9.parquet",
-      "sha256": "5b90cc17300ec0b928cc16dd3ad35232318e3fdb4a367d3536cc8c19620b57fd",
-      "bytes": 469947,
-      "rows": 30,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13649",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013649.lean\",\"ee5d7a050ab6311adb72aab15ec06b5f533a85e91346a5fc8f9fcfb5b7b5cf3d\",0,\"lean_workbook_plus_51981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013650.lean\",\"bc90283851a8b3796e254e281b6c802107464806d04d5e081d67aa462fd7c9d5\",0,\"lean_workbook_plus_44685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013651.lean\",\"060529d284821160835b65b1be8d4d792dd0c7ddcb754af78716744eedbb573a\",0,\"lean_workbook_plus_22256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 469947,
+      "path": "data/train/p06/oproofs-s00002-r00013648-n000004-0000-5b90cc17300ec0b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "5b90cc17300ec0b928cc16dd3ad35232318e3fdb4a367d3536cc8c19620b57fd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013652-n000004.json b/manifests/batches/oproofs/s00002-r00013652-n000004.json
index 5bad367f3225573c66f202dea8b3626512a897d5..3b994596ab0effc9485c508fdf7ad23b48e7de70 100644
--- a/manifests/batches/oproofs/s00002-r00013652-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013652-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013652-n000004",
   "batch_fingerprint": "c6bf9cdf0a6da4dd51fe7fa842111ec335fb13d19d50f8b10c5e0c90208e2fd3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013652-n000004-0000-3f7c0e2f6ef9a588.parquet",
-      "sha256": "3f7c0e2f6ef9a5882b19e93e175792f1a87926dc2e02411623b72b2a105e1618",
-      "bytes": 686635,
-      "rows": 25,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13652",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13653",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013653.lean\",\"bd307dcd18247192baeec25446761421b8c92bd6af6fb3672f342a0afdcae7ba\",0,\"lean_workbook_47579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013654.lean\",\"53558401a1e65939ee13385c2b8a4da3be95cb1c7b24fb155f945ab5b74c8a79\",0,\"lean_workbook_plus_58617\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013655.lean\",\"e0a98c8f874a446ab3a9ebbc61900ad4b88cf4d470703362eb27dcbe5bc05320\",0,\"lean_workbook_plus_31469\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 686635,
+      "path": "data/train/p9e/oproofs-s00002-r00013652-n000004-0000-3f7c0e2f6ef9a588.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "3f7c0e2f6ef9a5882b19e93e175792f1a87926dc2e02411623b72b2a105e1618"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013656-n000004.json b/manifests/batches/oproofs/s00002-r00013656-n000004.json
index 6b6d00d921b10fee45118891923c6da73c5504d4..e95f0c405e9f830a04df862a1ceeda61356896cc 100644
--- a/manifests/batches/oproofs/s00002-r00013656-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013656-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013656-n000004",
   "batch_fingerprint": "bb6432228ebdf96c15f48861a002590b5f5e3f5b1abb3eb22528c57f1bab4ec0",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13656",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13657",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13658",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13659"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013656.lean\",\"d70efdb3bc8492b2a14b19d2d120917c78d8f62e44e424f673fb9f1e8207b978\",0,\"lean_workbook_plus_5101\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013657.lean\",\"c0434edbd2d9b2ea050febc34a9762c0d55adf40c7b46893af90079cf1035329\",0,\"lean_workbook_plus_50197\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013658.lean\",\"861b9ffa3b2bb0758dd3c94bb51d887d3937e72a6a22ed8c8601fd8fb84f0b3f\",0,\"lean_workbook_plus_24596\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013659.lean\",\"f5450c6600f9f3b7527dca1693257779be36ee431cb5a9cc82aad4d2ae3c0dcc\",0,\"lean_workbook_plus_46585\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013656-n000004-0000-567d48b83940f98a.parquet",
-      "sha256": "567d48b83940f98a167d9e6bfcecde015047b59d068150deab97cec2efd65f11",
       "bytes": 133629,
+      "path": "data/train/p91/oproofs-s00002-r00013656-n000004-0000-567d48b83940f98a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
+      "sha256": "567d48b83940f98a167d9e6bfcecde015047b59d068150deab97cec2efd65f11"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013656-n000004-0000-bcf74994682a9348.parquet",
-      "sha256": "bcf74994682a934873912acc0a624fc47c074193240fdcf86b7cdeec97083267",
       "bytes": 76183,
+      "path": "data/dev/p91/oproofs-s00002-r00013656-n000004-0000-bcf74994682a9348.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
+      "sha256": "bcf74994682a934873912acc0a624fc47c074193240fdcf86b7cdeec97083267"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013656-n000004-0000-9cdae5680e9f38d1.parquet",
-      "sha256": "9cdae5680e9f38d14fcab9c918c67f2687af5b722e61ae488fe33065ef56b1ad",
       "bytes": 59662,
+      "path": "data/internal_test/p91/oproofs-s00002-r00013656-n000004-0000-9cdae5680e9f38d1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
+      "sha256": "9cdae5680e9f38d14fcab9c918c67f2687af5b722e61ae488fe33065ef56b1ad"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13656",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13657",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13658",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13659"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013656.lean\",\"d70efdb3bc8492b2a14b19d2d120917c78d8f62e44e424f673fb9f1e8207b978\",0,\"lean_workbook_plus_5101\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013657.lean\",\"c0434edbd2d9b2ea050febc34a9762c0d55adf40c7b46893af90079cf1035329\",0,\"lean_workbook_plus_50197\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013658.lean\",\"861b9ffa3b2bb0758dd3c94bb51d887d3937e72a6a22ed8c8601fd8fb84f0b3f\",0,\"lean_workbook_plus_24596\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013659.lean\",\"f5450c6600f9f3b7527dca1693257779be36ee431cb5a9cc82aad4d2ae3c0dcc\",0,\"lean_workbook_plus_46585\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013660-n000004.json b/manifests/batches/oproofs/s00002-r00013660-n000004.json
index af03753ef12e73c5116787aff856954483038d58..a9ac8ff7b6e257f07a78a4269cf3dc40c9728a25 100644
--- a/manifests/batches/oproofs/s00002-r00013660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013660-n000004",
   "batch_fingerprint": "bb2544c06fff1b1b8a3ae072df14158854044d0550af669d5560cd679db4bfdc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013660-n000004-0000-f6bbf864aa846a68.parquet",
-      "sha256": "f6bbf864aa846a689e0061a2a592c03dabef2570808b628d323918369eb58098",
-      "bytes": 260061,
-      "rows": 24,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13661",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013661.lean\",\"5260501a86dead4dd036ba88f439b34bcbd85f187219d4a92101f98d18089171\",0,\"lean_workbook_plus_56828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013662.lean\",\"cc9413604a56f72eb2893e89e3a7df94096cee0cffba6454d4f5bf4fa9894446\",0,\"lean_workbook_39999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013663.lean\",\"310452126392f58805190385da685599e94e490005e6bffaa38cfb194f940f03\",0,\"lean_workbook_plus_51857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 260061,
+      "path": "data/train/p30/oproofs-s00002-r00013660-n000004-0000-f6bbf864aa846a68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "f6bbf864aa846a689e0061a2a592c03dabef2570808b628d323918369eb58098"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013664-n000004.json b/manifests/batches/oproofs/s00002-r00013664-n000004.json
index 5f4684e08cd0a64d4016e22e0a7cbbb9fc694e13..02dbaef0904f9980e435015fe0ed7725fba4e0f1 100644
--- a/manifests/batches/oproofs/s00002-r00013664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013664-n000004",
   "batch_fingerprint": "f62e79e22c29e8c19476a8aefffb147c6c69a832c2129fa575c87c7ac63fd1f6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013664-n000004-0000-7b217d368fc5927d.parquet",
-      "sha256": "7b217d368fc5927dacf8f9ffdecb9e23d6bcfd7cc13d2b965c99aec44296040a",
-      "bytes": 206390,
-      "rows": 11,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13664",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13665",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013665.lean\",\"294813f6974e100446b63fac8d8426fbf4205b72347bf380ddf41839fb811d19\",0,\"lean_workbook_plus_3698\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013666.lean\",\"012e8674714595c6417b60ae6f8698e4a526d5bb54e7031c3cb31c7ac0329ef8\",0,\"lean_workbook_plus_60134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013667.lean\",\"62d205628568c7ffc8e96238b3663dca45b0b3dd437571e1cb86c6f61a9c9175\",0,\"lean_workbook_plus_72269\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206390,
+      "path": "data/train/p96/oproofs-s00002-r00013664-n000004-0000-7b217d368fc5927d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7b217d368fc5927dacf8f9ffdecb9e23d6bcfd7cc13d2b965c99aec44296040a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013668-n000004.json b/manifests/batches/oproofs/s00002-r00013668-n000004.json
index 7b17f8cdfd3e52b1e6191a926537f4c51c5a095b..ec4f60d59f4f1918244b40e655950f8d6c94f6a3 100644
--- a/manifests/batches/oproofs/s00002-r00013668-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013668-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013668-n000004",
   "batch_fingerprint": "b66edd69f5d488aa10b5714466f08005683ea3ba9cac9f81265869f4d0622ce4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013668-n000004-0000-63116dfacf5ad32a.parquet",
-      "sha256": "63116dfacf5ad32ae72d56cdeacae34c8e9540bbaedded992c746f7c4f1fd918",
-      "bytes": 1059761,
-      "rows": 19,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00013668-n000004-0001-449a4df5e39c2e04.parquet",
-      "sha256": "449a4df5e39c2e041b96147df674f929f7e339fd62f7bf0c075be34868abfbff",
-      "bytes": 237418,
-      "rows": 9,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13668",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13669",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013669.lean\",\"2b16957e37148ac0ca7f773e90abf77b9be594236b05f77846db652d45db9fc6\",0,\"lean_workbook_plus_18134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013670.lean\",\"cb501cf79dc3c48590f9d131b766d280e7cec6cf0290085f185df61586516edc\",0,\"lean_workbook_43427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013671.lean\",\"8cd5f09213e918819b2c7a714bb8e495d6e26921a15d581d23487400a1597984\",0,\"lean_workbook_10925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1059761,
+      "path": "data/train/p17/oproofs-s00002-r00013668-n000004-0000-63116dfacf5ad32a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "63116dfacf5ad32ae72d56cdeacae34c8e9540bbaedded992c746f7c4f1fd918"
+    },
+    {
+      "bytes": 237418,
+      "path": "data/train/p17/oproofs-s00002-r00013668-n000004-0001-449a4df5e39c2e04.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "449a4df5e39c2e041b96147df674f929f7e339fd62f7bf0c075be34868abfbff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013672-n000004.json b/manifests/batches/oproofs/s00002-r00013672-n000004.json
index 520ae8cd0f9c9e684743b91ab627b8ec31fd95a9..d636271eb7c717c3846f4b04a0612eb48ce1b0ed 100644
--- a/manifests/batches/oproofs/s00002-r00013672-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013672-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013672-n000004",
   "batch_fingerprint": "5971de03699928a9f36117bc48e34385f181edbc9ea6bbc5ccda4b53a494a1c4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013672-n000004-0000-70b0cad9a55b1900.parquet",
-      "sha256": "70b0cad9a55b1900922a619be0574f8129463ce285a602d4bde3636a894de3ef",
-      "bytes": 856546,
-      "rows": 19,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00013672-n000004-0001-e3b7dab77d1503b9.parquet",
-      "sha256": "e3b7dab77d1503b9c995258e2676135d2b0ba20fe7fb7289b29183a738501650",
-      "bytes": 87645,
-      "rows": 9,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13672",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13673",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013673.lean\",\"7d5309402b04489da07b77706f80591a405a7cb6a761b96c6833c6ad672e6762\",0,\"lean_workbook_plus_12726\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013674.lean\",\"5137273345189f91a444dc79e75529b41d86b02a1dfe6973b60df369cad91200\",0,\"lean_workbook_plus_72705\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013675.lean\",\"0fb7a3211816b0e06b4f3182aaa3539011b6d440160b33443d1d6bb44ee53e4f\",0,\"lean_workbook_16138\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 856546,
+      "path": "data/train/paa/oproofs-s00002-r00013672-n000004-0000-70b0cad9a55b1900.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "70b0cad9a55b1900922a619be0574f8129463ce285a602d4bde3636a894de3ef"
+    },
+    {
+      "bytes": 87645,
+      "path": "data/train/paa/oproofs-s00002-r00013672-n000004-0001-e3b7dab77d1503b9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e3b7dab77d1503b9c995258e2676135d2b0ba20fe7fb7289b29183a738501650"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013676-n000004.json b/manifests/batches/oproofs/s00002-r00013676-n000004.json
index 520acd08bf528564c6e8a32bad758de8a9972335..6b7e81e32adc3cc032a02d7aa191467d11d9eae8 100644
--- a/manifests/batches/oproofs/s00002-r00013676-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013676-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013676-n000004",
   "batch_fingerprint": "92f745dd7a650610d63c378719c3baf03a5697415b0e3b25ad003a60db59a213",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013676-n000004-0000-3e7a406c77850e13.parquet",
-      "sha256": "3e7a406c77850e13e60a5ec19403f00f3549ba746b40f9b61aafc04f2c992481",
-      "bytes": 134064,
-      "rows": 16,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13676",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13677",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013677.lean\",\"7d20efb182ded25747bea6c68d1e049f4b6a6537acdb06daa34b0b7be9becc58\",0,\"lean_workbook_plus_64376\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013678.lean\",\"d66567aa270cf1f9a504af1fb546cafb7ad0c76aefe53c6e7a3ddc71eb501078\",0,\"lean_workbook_plus_77404\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013679.lean\",\"8dd9ffe06f9078a5d217c8aa1f76f404f59985ece6e330c0208a040da2a9d118\",0,\"lean_workbook_plus_43619\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134064,
+      "path": "data/train/pf8/oproofs-s00002-r00013676-n000004-0000-3e7a406c77850e13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "3e7a406c77850e13e60a5ec19403f00f3549ba746b40f9b61aafc04f2c992481"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013680-n000004.json b/manifests/batches/oproofs/s00002-r00013680-n000004.json
index 782261459b84d85c248c8c894550a47dc36c48c5..7a0e95bf70381187ecebabb54cc07b43ff75b280 100644
--- a/manifests/batches/oproofs/s00002-r00013680-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013680-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013680-n000004",
   "batch_fingerprint": "c72888f2a50a409d322c75924ebe19b925e3050da81d0de74a519ab2691b88eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013680-n000004-0000-59060c86c6cc65af.parquet",
-      "sha256": "59060c86c6cc65af742e39155f79fd8b770133a295e9d8207ade3f8dc4582eea",
-      "bytes": 202596,
-      "rows": 14,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13680",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13681",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013681.lean\",\"aecd4e1ba7be5fc57082b9ae725cfc91b76927572436119da521c7a59b85d5bf\",0,\"lean_workbook_plus_80981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013682.lean\",\"c64adf3ae40168c8a47cab2e0e1d151b4bc2eecd748d544896ef802fc8628244\",0,\"lean_workbook_plus_66769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013683.lean\",\"171a4f0f9daffc865964adb3e95269c265586835b9b987076dbd962eefbe6835\",0,\"lean_workbook_plus_6864\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202596,
+      "path": "data/train/pec/oproofs-s00002-r00013680-n000004-0000-59060c86c6cc65af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "59060c86c6cc65af742e39155f79fd8b770133a295e9d8207ade3f8dc4582eea"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013684-n000004.json b/manifests/batches/oproofs/s00002-r00013684-n000004.json
index 0fcf73bae4bfa88619ed53101f19cd283c2cb956..c2e516a89d7a1b7abc5b8911b8b754094170a004 100644
--- a/manifests/batches/oproofs/s00002-r00013684-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013684-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013684-n000004",
   "batch_fingerprint": "e3dafea8601f88bcca48642e4c1b41e364afcd2c9d4693c09929acab1f60c5bd",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013684-n000004-0000-ac4325d57e420d1a.parquet",
-      "sha256": "ac4325d57e420d1ae522f23afc731cc9a54571c3957d5faf62c2fbb6f1d811f7",
-      "bytes": 341760,
-      "rows": 30,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13684",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13685",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013685.lean\",\"09b0cba12bdb48446bb03a96c5a072b4bf431c4c6d7920aead34d03a33ce9c63\",0,\"lean_workbook_plus_7249\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013686.lean\",\"924136c6e5ae4b4ca8027869566fdb39193ed0163aadce27b8bea1626b710c0e\",0,\"lean_workbook_plus_13212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013687.lean\",\"79b268e30486f04f995eabd1650d56be5a81e71aaad13500f04050cd237189c0\",0,\"lean_workbook_plus_3503\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 341760,
+      "path": "data/train/p53/oproofs-s00002-r00013684-n000004-0000-ac4325d57e420d1a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 30,
+      "sha256": "ac4325d57e420d1ae522f23afc731cc9a54571c3957d5faf62c2fbb6f1d811f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013688-n000004.json b/manifests/batches/oproofs/s00002-r00013688-n000004.json
index c2d7865c7c6e32285d620481b6e0ad36e40fc2f9..b749ef2dc1a55d8f74f57d4ac1ddf9c659220fd6 100644
--- a/manifests/batches/oproofs/s00002-r00013688-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013688-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013688-n000004",
   "batch_fingerprint": "f6816d0f578ed2e4233369bb0cfdbf425ba12aa89992bb83aae270a53f8758b5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013688-n000004-0000-bc76bfd148564355.parquet",
-      "sha256": "bc76bfd14856435577d7c001cac9febcd705309794b2931a111cbf42e99d4dec",
-      "bytes": 396612,
-      "rows": 11,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013688-n000004-0000-680189e6b63365d6.parquet",
-      "sha256": "680189e6b63365d6bb11f89a6c0884113389b9d78f430b3c8292ba311a0a3230",
-      "bytes": 112290,
-      "rows": 2,
-      "revision": "ac359c75fd169632dc835276c7ab8fe728c0f562"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13688",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13689",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013689.lean\",\"2fa8b366adae1970f9c62d267cc9d16208360b42cdc809673dbf8fc3610f14b9\",0,\"lean_workbook_plus_17700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013690.lean\",\"46884ca4f45d00d32ce747182b32f1f42bbe68801e901ce0d69f2e655ff6ab09\",0,\"lean_workbook_plus_4209\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013691.lean\",\"680b87e3e9a17df6010e33f2fa7f9b0b5ae7a8fb617143aec8c303194f57a554\",0,\"lean_workbook_plus_24816\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 396612,
+      "path": "data/train/p32/oproofs-s00002-r00013688-n000004-0000-bc76bfd148564355.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bc76bfd14856435577d7c001cac9febcd705309794b2931a111cbf42e99d4dec"
+    },
+    {
+      "bytes": 112290,
+      "path": "data/dev/p32/oproofs-s00002-r00013688-n000004-0000-680189e6b63365d6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "680189e6b63365d6bb11f89a6c0884113389b9d78f430b3c8292ba311a0a3230"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013692-n000004.json b/manifests/batches/oproofs/s00002-r00013692-n000004.json
index ab7300405f2dbc15716a51d3bc35460a68fde0ec..4079feba779668c51d98ee3a467058423d4cf8e4 100644
--- a/manifests/batches/oproofs/s00002-r00013692-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013692-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013692-n000004",
   "batch_fingerprint": "9c1694f2dbc1e255a70fc1c98c2eacf679998a67a880be0aa21c30eca20c5fd5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013692-n000004-0000-25517f3fa3162a3a.parquet",
-      "sha256": "25517f3fa3162a3a604af4858ac1eeb97730eee7a0e92b1891cbe28fb7582c2f",
-      "bytes": 108672,
-      "rows": 15,
-      "revision": "5d4a46370189924ce7139612ec3671cc29254a5e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13692",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13693",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013693.lean\",\"67db6594bdb4cea1e72420857327435d15443605d9b0d90dfeab41f8a4b76838\",0,\"lean_workbook_19072\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013694.lean\",\"791236e341aec1f2a1d5388fb63cae9af810193ec0c942e854680ecd5e470d60\",0,\"lean_workbook_plus_22962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013695.lean\",\"7b69b6d9f3f27fc0cfb0d09b680db87d6b8848a7468b3c8a522ffdc5380b7fed\",0,\"lean_workbook_plus_63042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108672,
+      "path": "data/train/pc3/oproofs-s00002-r00013692-n000004-0000-25517f3fa3162a3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "25517f3fa3162a3a604af4858ac1eeb97730eee7a0e92b1891cbe28fb7582c2f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013696-n000004.json b/manifests/batches/oproofs/s00002-r00013696-n000004.json
index 657f29a90de95eec71dfbe6ba9fba0e182cc6de5..3697112a8e205eaa387ca9731685bac1e566572d 100644
--- a/manifests/batches/oproofs/s00002-r00013696-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013696-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013696-n000004",
   "batch_fingerprint": "21e2c44a095ec5b88d21797ca794572ac67ff4a838bdf0afa51eb8026ef138bf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013696-n000004-0000-c9219e1f6c680303.parquet",
-      "sha256": "c9219e1f6c6803039d008af008c6d7b787216a69bca7ce0221a52cf04e4bd00e",
-      "bytes": 287395,
-      "rows": 16,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013696-n000004-0000-19f0c43a97f4e615.parquet",
-      "sha256": "19f0c43a97f4e6157d649eb4fa6b84b5446a34380f8ceae4132f4d765f5ae92e",
-      "bytes": 70176,
-      "rows": 4,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13696",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13697",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013697.lean\",\"4ad4f5d2f390ce1edd433c75429e639c311a9fdca7188cc8cb7812d5b8b1613e\",0,\"lean_workbook_plus_100295\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013698.lean\",\"6e36d1f302a1e6e5e3f0511156fa5d2af26ad7f71ee857cbcc47b618acb69099\",0,\"lean_workbook_plus_18054\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013699.lean\",\"656dd18f9790b1fca4ef07bbdb7b94ef951747da4f9dfe78ada4be9c6e6d29f8\",0,\"lean_workbook_plus_69465\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 287395,
+      "path": "data/train/pf2/oproofs-s00002-r00013696-n000004-0000-c9219e1f6c680303.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "c9219e1f6c6803039d008af008c6d7b787216a69bca7ce0221a52cf04e4bd00e"
+    },
+    {
+      "bytes": 70176,
+      "path": "data/internal_test/pf2/oproofs-s00002-r00013696-n000004-0000-19f0c43a97f4e615.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "19f0c43a97f4e6157d649eb4fa6b84b5446a34380f8ceae4132f4d765f5ae92e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013700-n000004.json b/manifests/batches/oproofs/s00002-r00013700-n000004.json
index c931696cd0c0f6f73bd106d80fad0b91800d5133..985e9f4e8b34d4462f3b2d8c3c93097c4f06b280 100644
--- a/manifests/batches/oproofs/s00002-r00013700-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013700-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013700-n000004",
   "batch_fingerprint": "43be820a72ec6fede386dd0cc090a172858d3aa2e4f25bbc0fb3335dc551ae07",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013700-n000004-0000-bcb5e502a2d967d9.parquet",
-      "sha256": "bcb5e502a2d967d9a8aadc3cedb4e8caf31dd1401cef23ac84b7fe96b6becfaa",
-      "bytes": 215190,
-      "rows": 19,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013700-n000004-0000-251a05c25e3ea173.parquet",
-      "sha256": "251a05c25e3ea17311d002a47894eedf51bf5ff97df5b9680f717c51a459827f",
-      "bytes": 360739,
-      "rows": 12,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13700",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13701",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013701.lean\",\"3912da6578d8beae013b540c1db19ddef224902aadfce55947d49488659ec92c\",0,\"lean_workbook_plus_68554\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013702.lean\",\"df3f79ce7b20cc642f0eeed5d2963a03b2d3b1c8ba6774fd1797a100023dba1c\",0,\"lean_workbook_39332\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013703.lean\",\"b925b531f5e7351a4b4988a8098bb75f7e5efde26f23e6c869ed03ff4edddab8\",0,\"lean_workbook_13689\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 215190,
+      "path": "data/train/p5f/oproofs-s00002-r00013700-n000004-0000-bcb5e502a2d967d9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "bcb5e502a2d967d9a8aadc3cedb4e8caf31dd1401cef23ac84b7fe96b6becfaa"
+    },
+    {
+      "bytes": 360739,
+      "path": "data/internal_test/p5f/oproofs-s00002-r00013700-n000004-0000-251a05c25e3ea173.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "251a05c25e3ea17311d002a47894eedf51bf5ff97df5b9680f717c51a459827f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013704-n000004.json b/manifests/batches/oproofs/s00002-r00013704-n000004.json
index 08fa41b7fe29e88dcf4b0f008ea9755474aa6d60..9d42fcd5e9ba8b486b4667fed3f33a9347295ed8 100644
--- a/manifests/batches/oproofs/s00002-r00013704-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013704-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013704-n000004",
   "batch_fingerprint": "575455211b68cb487f9f106dd2588918fa828585e7945fbaab76ea5e34154870",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013704-n000004-0000-c3bfc8f98d4d4374.parquet",
-      "sha256": "c3bfc8f98d4d4374b4e93abf7070ab656a2ef372933856c8eb26a778c8ce4ca9",
-      "bytes": 106425,
-      "rows": 14,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013704-n000004-0000-293b080fe02e5a38.parquet",
-      "sha256": "293b080fe02e5a380f1f6b6e194a36fd5bae3a47b05a66c820807acf7fabf37c",
-      "bytes": 178908,
-      "rows": 5,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13704",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13705",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013705.lean\",\"f620da84beb7caf71f5b7c5a25cacd4699ebfd59f7416866a8e0541b7374eef0\",0,\"lean_workbook_plus_40679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013706.lean\",\"d6aefec6d01ce8d98fe89018f8e80ce07d109748ba39d4afabcd33e6ec06d192\",0,\"lean_workbook_plus_29091\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013707.lean\",\"f9f0ff2c0643ef04d3b838c2d4b2480ecb9ec45ba9b44177c735544fbaa70001\",0,\"complex_quadratic_roots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106425,
+      "path": "data/train/p8a/oproofs-s00002-r00013704-n000004-0000-c3bfc8f98d4d4374.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "c3bfc8f98d4d4374b4e93abf7070ab656a2ef372933856c8eb26a778c8ce4ca9"
+    },
+    {
+      "bytes": 178908,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00013704-n000004-0000-293b080fe02e5a38.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "293b080fe02e5a380f1f6b6e194a36fd5bae3a47b05a66c820807acf7fabf37c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013708-n000004.json b/manifests/batches/oproofs/s00002-r00013708-n000004.json
index 8f8cf442b8016c74bc001ee7a45b4d4483cd3009..0ed299f281fa6b424581a5c269fd07f968e477e8 100644
--- a/manifests/batches/oproofs/s00002-r00013708-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013708-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013708-n000004",
   "batch_fingerprint": "6cce44bd034b9063b548566a0ec6f7709dd2c9909d61d22e291336a3e764d265",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013708-n000004-0000-68fa44d5ccbab0a4.parquet",
-      "sha256": "68fa44d5ccbab0a459e040d599e90480d9bef566c673394923095449c2681a4a",
-      "bytes": 251079,
-      "rows": 23,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13708",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13709",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013709.lean\",\"de835531352092f263460934b4293072b8d5837257ecad94ce1a5ab92dbc3816\",0,\"lean_workbook_17926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013710.lean\",\"7c67865830a7e5f82edde13b6155ec25757f68bfa5dc6629663f94c793a6826c\",0,\"lean_workbook_plus_46402\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013711.lean\",\"ae67f620419cf50e948206a59ec1e00f0e9754ed76f3569d70175b1924f1826b\",0,\"lean_workbook_plus_10805\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251079,
+      "path": "data/train/p67/oproofs-s00002-r00013708-n000004-0000-68fa44d5ccbab0a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "68fa44d5ccbab0a459e040d599e90480d9bef566c673394923095449c2681a4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013712-n000004.json b/manifests/batches/oproofs/s00002-r00013712-n000004.json
index 0806b667c8e76c3a980b6dfadb2908e0760259d7..347b57626f18487e70fb0871024d40fc4e905c7a 100644
--- a/manifests/batches/oproofs/s00002-r00013712-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013712-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013712-n000004",
   "batch_fingerprint": "5d354c31d1e32b6142d1937cba657c0b93a67fed88a724e8bf5c11c4f0da1576",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013712-n000004-0000-32030995574fb14b.parquet",
-      "sha256": "32030995574fb14b487e70dae204eb51e9422b82ae5c03c0c595ce352611ea37",
-      "bytes": 897905,
-      "rows": 28,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13712",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13713",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013713.lean\",\"55af0c606f513a3dc28064bd2782ddd77e95c180509caeb7f26e82a3c94c5232\",0,\"lean_workbook_plus_52703\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013714.lean\",\"fb5735ecbebe674948fa45f7534303fe6737bb11a0690a949bcc7b62ba71776d\",0,\"lean_workbook_plus_57417\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013715.lean\",\"ecc2b014fe9b9a0076065fda1c8995d24a0a8b9e15914b70c5fd8b12b738fca0\",0,\"lean_workbook_plus_19576\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 897905,
+      "path": "data/train/p69/oproofs-s00002-r00013712-n000004-0000-32030995574fb14b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "32030995574fb14b487e70dae204eb51e9422b82ae5c03c0c595ce352611ea37"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013716-n000004.json b/manifests/batches/oproofs/s00002-r00013716-n000004.json
index 745a7d6ac0fef9d454b1fa0c0c62f4afca2eafb8..aae4b4748caea2c8868e5347e8f9d938158ed1fa 100644
--- a/manifests/batches/oproofs/s00002-r00013716-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013716-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013716-n000004",
   "batch_fingerprint": "ee4724e330ab70e0fb888993c3006c14d4ab1e0bbce6064b3f8de8fad8ec7f6b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013716-n000004-0000-f5a1e8f8e6fdd3aa.parquet",
-      "sha256": "f5a1e8f8e6fdd3aa609a250a07361ff7f4506b9fb8c68c9cbd4557cece0ec372",
-      "bytes": 356531,
-      "rows": 22,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13716",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13717",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013717.lean\",\"73c129ecf3932c6e6ff646038ded8708cd418e77cd6f6597e1e3845326ca5881\",0,\"grid_diagonal_max\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013718.lean\",\"34a10533cea4adb02ed9d491ba1dd80fc3d443aa8a50974e39e4d4d3bb03cbb5\",0,\"lean_workbook_plus_22256\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013719.lean\",\"22d2e4c771ca5ae2da3981251697d8852bcfac5c33433190c8666735100648ec\",0,\"lean_workbook_plus_51981\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 356531,
+      "path": "data/train/pd3/oproofs-s00002-r00013716-n000004-0000-f5a1e8f8e6fdd3aa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "f5a1e8f8e6fdd3aa609a250a07361ff7f4506b9fb8c68c9cbd4557cece0ec372"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013720-n000004.json b/manifests/batches/oproofs/s00002-r00013720-n000004.json
index 72ff98bdbb1f313f69bb967f7d611d7569c93e3c..be96612f469cfb5e765c89ac1de751bbaeac6dce 100644
--- a/manifests/batches/oproofs/s00002-r00013720-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013720-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013720-n000004",
   "batch_fingerprint": "19022fe634c5ce75da3ef2a8f477df186ba9436bbd2c37737fc33ed1af29df28",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013720-n000004-0000-96b0be94c121e049.parquet",
-      "sha256": "96b0be94c121e04946535908314861bd759ea06b1b5086fd83267be0bf3768e0",
-      "bytes": 759726,
-      "rows": 19,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13720",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13721",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013721.lean\",\"b8db73863fbfc5e9dcd7401d999cc411d9b080140b098332bd95f660d43b442c\",0,\"lean_workbook_plus_44685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013722.lean\",\"b8de8f720bf671b045e310cb7a82c963d6b51da5ea15c5bb45f9ee2caa57c901\",0,\"lean_workbook_plus_1610\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013723.lean\",\"a8c459929addb167d7066bafab807a23e3e4efcb89118c5d1afbd53a01057b68\",0,\"lean_workbook_plus_31469\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 759726,
+      "path": "data/train/p8a/oproofs-s00002-r00013720-n000004-0000-96b0be94c121e049.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "96b0be94c121e04946535908314861bd759ea06b1b5086fd83267be0bf3768e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013724-n000004.json b/manifests/batches/oproofs/s00002-r00013724-n000004.json
index 9700573539e06315dc412f45140bcaca31ab90e3..365247717da2ff22357e070f6d25826f6a724919 100644
--- a/manifests/batches/oproofs/s00002-r00013724-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013724-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013724-n000004",
   "batch_fingerprint": "256ffeb34d22fd67049893c599534f5c96ad8f3b60a39548c4e7fb0d0f31d4a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013724-n000004-0000-52840106d7d3ebc4.parquet",
-      "sha256": "52840106d7d3ebc40e357460ec5b86fcff8418c81de4c4d07dcef4c2588eee80",
-      "bytes": 576835,
-      "rows": 25,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013724-n000004-0000-4f53c3484d73007a.parquet",
-      "sha256": "4f53c3484d73007a744b5d9635af9442b10d353703f9bbe57ba063b4bb6614e6",
-      "bytes": 66751,
-      "rows": 7,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13724",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13725",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013725.lean\",\"e3a83f877dcdc92812aad1dde6b4b6a02bd739fc180e7b5916230ea3e084afac\",0,\"lean_workbook_plus_5101\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013726.lean\",\"b5436009cb1135b093892fab1c01234540c87a6d3f4089d6d4b708dc761a22d1\",0,\"lean_workbook_plus_50197\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013727.lean\",\"efcaa3e35d76ca60a2899c82fd42d54dd18a68ae27c1a648c6f7c8ff306351ce\",0,\"lean_workbook_plus_46585\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 576835,
+      "path": "data/train/p8d/oproofs-s00002-r00013724-n000004-0000-52840106d7d3ebc4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "52840106d7d3ebc40e357460ec5b86fcff8418c81de4c4d07dcef4c2588eee80"
+    },
+    {
+      "bytes": 66751,
+      "path": "data/dev/p8d/oproofs-s00002-r00013724-n000004-0000-4f53c3484d73007a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4f53c3484d73007a744b5d9635af9442b10d353703f9bbe57ba063b4bb6614e6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013728-n000004.json b/manifests/batches/oproofs/s00002-r00013728-n000004.json
index 6563fc69cfab8c71c4c1e02d12bbfbcc1f61761c..f4496ef2bfbf80366eb42e0faef7dfb1b2423d12 100644
--- a/manifests/batches/oproofs/s00002-r00013728-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013728-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013728-n000004",
   "batch_fingerprint": "580b685af32b4f1dbff3b19bbd1a457588c3ad1da259d14722e324861b03d1b5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013728-n000004-0000-592e98cfb38303a9.parquet",
-      "sha256": "592e98cfb38303a9141f81778532933db3cd2c94fb0caaa9fd22c91935345868",
-      "bytes": 792738,
-      "rows": 28,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013728-n000004-0000-31a2922896aeb702.parquet",
-      "sha256": "31a2922896aeb702781d917c0bb4066f7c08c085dca616fcd6508145dbcc6e82",
-      "bytes": 104920,
-      "rows": 2,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13728",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13729",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013729.lean\",\"841cc015632c301bf3e0b4f12b2ec6e348e34d3abf18a962848b144feddf70f6\",0,\"lean_workbook_plus_56828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013730.lean\",\"f462f3e47545737fd8d6984d3ff9f34b19b0c25bdadda401afbdea5484a69451\",0,\"lean_workbook_39999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013731.lean\",\"90046979e7cd4dfcf89c75e97351b02ea121cc7ee83de6ddb4be3bdbc0b7e3e2\",0,\"lean_workbook_plus_60645\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 792738,
+      "path": "data/train/p34/oproofs-s00002-r00013728-n000004-0000-592e98cfb38303a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "592e98cfb38303a9141f81778532933db3cd2c94fb0caaa9fd22c91935345868"
+    },
+    {
+      "bytes": 104920,
+      "path": "data/internal_test/p34/oproofs-s00002-r00013728-n000004-0000-31a2922896aeb702.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "31a2922896aeb702781d917c0bb4066f7c08c085dca616fcd6508145dbcc6e82"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013732-n000004.json b/manifests/batches/oproofs/s00002-r00013732-n000004.json
index bb6fc9745da5bcba9e47151927a6c8221c7a7da9..cfa806a34e09419ba70b822f65c7786168bb51e6 100644
--- a/manifests/batches/oproofs/s00002-r00013732-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013732-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013732-n000004",
   "batch_fingerprint": "111653924511d54eeae5281e77996bc77bc88d4a4caf252c206b37a50cb4aed6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013732-n000004-0000-e7dd8695bc5e1ed3.parquet",
-      "sha256": "e7dd8695bc5e1ed34fe8e130e8124fbdccf6d8c8b6b954cadf51d2b826879dae",
-      "bytes": 362680,
-      "rows": 15,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13732",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13733",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013733.lean\",\"f63cd16aa19a17bb2ce92af287489ddd3cb18e51bd79bc98d116b2d19830efc9\",0,\"lean_workbook_plus_51857\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013734.lean\",\"2c931921167e340240138cc601f7181efde4871fcbb54297cf0c10758f3ac6ec\",0,\"lean_workbook_plus_78393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013735.lean\",\"e765ba6bf38609dd8d88a769997bf6d03ce71db4792d2aff03fab10c02f062bf\",0,\"lean_workbook_plus_60134\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362680,
+      "path": "data/train/p9a/oproofs-s00002-r00013732-n000004-0000-e7dd8695bc5e1ed3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "e7dd8695bc5e1ed34fe8e130e8124fbdccf6d8c8b6b954cadf51d2b826879dae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013736-n000004.json b/manifests/batches/oproofs/s00002-r00013736-n000004.json
index 35fd80ef1de5fe34fe2ef24a4f7e1726bddce9ab..68ab225b601ede984156b595103e910e2bcfcdf3 100644
--- a/manifests/batches/oproofs/s00002-r00013736-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013736-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013736-n000004",
   "batch_fingerprint": "566bea05780574786c4773f1589953b650af19c6608ef36466fd156bf76bbb00",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013736-n000004-0000-fc365d28846e1529.parquet",
-      "sha256": "fc365d28846e152908b4c74d22008db634974b0913cb0c488bbfd820e421580a",
-      "bytes": 512723,
-      "rows": 17,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13736",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13737",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013737.lean\",\"561b7e3748cfd486247cf9c0250325330d98705f59fd2b42ea5f653ddcd397ac\",0,\"lean_workbook_plus_18134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013738.lean\",\"bce8794c44885dc0505f6cad296e5cc99e3850284f0a3558a940727df3d52e0e\",0,\"lean_workbook_plus_30911\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013739.lean\",\"448d78bba664f1ce7852c2af8dd2661f84ffd07ce06e12bcd5b298166925b2d0\",0,\"lean_workbook_plus_11654\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 512723,
+      "path": "data/train/p85/oproofs-s00002-r00013736-n000004-0000-fc365d28846e1529.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fc365d28846e152908b4c74d22008db634974b0913cb0c488bbfd820e421580a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013740-n000004.json b/manifests/batches/oproofs/s00002-r00013740-n000004.json
index 564a81e10e6d15105959545432e383df2a9a008b..0845a0d82f60821d4810d73ee69744a02844c41c 100644
--- a/manifests/batches/oproofs/s00002-r00013740-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013740-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013740-n000004",
   "batch_fingerprint": "f0e53f7865da6b217ebaf1baf80b82d49a463968c639c466c7719a2ad8e07e4d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013740-n000004-0000-bc1b31bdad1970e2.parquet",
-      "sha256": "bc1b31bdad1970e2b3dc4733973c00785e3664bfb7f221cd3f3b7674fa73e509",
-      "bytes": 583569,
-      "rows": 23,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13740",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13741",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013741.lean\",\"f5835001d53e6fda2e4af7227d182542125376685a698c305e730f6dd4ba9b23\",0,\"lean_workbook_10925\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013742.lean\",\"d11537bb2ece2446c9bccaae9273cbed4d143f88ac01234d0720e7037932ef71\",0,\"lean_workbook_plus_15961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013743.lean\",\"b5a0a19a512076687b00aea4b66bd1b02f50044e92ed50e7bee92a62e2b03a5f\",0,\"lean_workbook_plus_68549\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 583569,
+      "path": "data/train/p59/oproofs-s00002-r00013740-n000004-0000-bc1b31bdad1970e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "bc1b31bdad1970e2b3dc4733973c00785e3664bfb7f221cd3f3b7674fa73e509"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013744-n000004.json b/manifests/batches/oproofs/s00002-r00013744-n000004.json
index 3616fc60a6599c6712649ea9518753b083d5a00a..65e103caf02eec0358ef5464be8e65d4729777f6 100644
--- a/manifests/batches/oproofs/s00002-r00013744-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013744-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013744-n000004",
   "batch_fingerprint": "188c6f310fe290311a42abd3231752a90ec3e2807d37d328e5a17682329c35d2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013744-n000004-0000-99aa57d79d5c00a1.parquet",
-      "sha256": "99aa57d79d5c00a105b33d8a2b88c38c3cb6b24e91e8909d0917b79165ad7121",
-      "bytes": 811557,
-      "rows": 18,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00013744-n000004-0001-497a1a4eca93b51b.parquet",
-      "sha256": "497a1a4eca93b51b48e8173a079f84944250c5b2eaec10594be5662d6d238199",
-      "bytes": 535007,
-      "rows": 9,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13744",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13745",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013745.lean\",\"e13ec5ac9d074c65b8e800df6756af42fd34ecadbdb37475e3c3113ace553655\",0,\"lean_workbook_43427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013746.lean\",\"080f4f2b4c197c5b6872c24a8885f81e19d7fec0d1dfa9073253ed7cdd43aede\",0,\"lean_workbook_22204\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013747.lean\",\"e9e5a02cc72edf005a1e78a9252a105cc2d38e9874f493253e14f6468d0b7f36\",0,\"lean_workbook_plus_73528\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 811557,
+      "path": "data/train/pe4/oproofs-s00002-r00013744-n000004-0000-99aa57d79d5c00a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "99aa57d79d5c00a105b33d8a2b88c38c3cb6b24e91e8909d0917b79165ad7121"
+    },
+    {
+      "bytes": 535007,
+      "path": "data/train/pe4/oproofs-s00002-r00013744-n000004-0001-497a1a4eca93b51b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "497a1a4eca93b51b48e8173a079f84944250c5b2eaec10594be5662d6d238199"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013748-n000004.json b/manifests/batches/oproofs/s00002-r00013748-n000004.json
index 0be098f006ab1da5eabbc5f04418ecb9992fc67e..d3014041ae1dfaa658b7b31ab27a756d585629af 100644
--- a/manifests/batches/oproofs/s00002-r00013748-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013748-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013748-n000004",
   "batch_fingerprint": "e5af30349963db76dc8ece6db4e43ed686cf7195576d2a26b0d7a1437c6f9fa8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013748-n000004-0000-36cf3d278b7f3ef9.parquet",
-      "sha256": "36cf3d278b7f3ef95d6f981892fd89e5b27ac1c93d87525939f4492662c21e68",
-      "bytes": 182030,
-      "rows": 17,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13748",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13749",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013749.lean\",\"35d7c655b981a9d38ace32dbbb4ebd30c1cdd7055d4a3c57e5bf829742ed6ec5\",0,\"lean_workbook_plus_66769\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013750.lean\",\"d5c4ef851c350f2caafb2d6f5216859a9edc1f10077ab1eff1d639b9fe867fa1\",0,\"lean_workbook_30116\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013751.lean\",\"7ef1635ffe713c57eb8a187b251306bbbd140a707d37d3208717f33c0ab06fc1\",0,\"parallel_line_through_point\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 182030,
+      "path": "data/train/p2e/oproofs-s00002-r00013748-n000004-0000-36cf3d278b7f3ef9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "36cf3d278b7f3ef95d6f981892fd89e5b27ac1c93d87525939f4492662c21e68"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013752-n000004.json b/manifests/batches/oproofs/s00002-r00013752-n000004.json
index c1b655d0a25ba3855006be8b27513484fd79c57b..b7209150474e8e49dfbe52e179a4ab9cc9cb6f0a 100644
--- a/manifests/batches/oproofs/s00002-r00013752-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013752-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013752-n000004",
   "batch_fingerprint": "e4b11fe466623cd501c0e539182092745e75162280212e2be331e8464f193819",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013752-n000004-0000-b1e707b7dbaea1a9.parquet",
-      "sha256": "b1e707b7dbaea1a961d855008f7d46cc893b649aa059c9c871d2d0427bf96825",
-      "bytes": 197071,
-      "rows": 21,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013752-n000004-0000-f37af3a055bd4653.parquet",
-      "sha256": "f37af3a055bd4653299e9a1bf3cc0f0509c35fd67a8a3b9a47051b22ef821c25",
-      "bytes": 98984,
-      "rows": 7,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13752",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13753",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013753.lean\",\"a0e013213e0db01f37b9b214771ff7ac9e24cc53b62e3bed7cc9f85b28639173\",0,\"lean_workbook_plus_80981\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013754.lean\",\"f925683d840d9c4922990b5af7253cc6568e87642ad89112e4ed53d971c2f67d\",0,\"lean_workbook_plus_74881\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013755.lean\",\"7e74e6a95bd67c23c83ea28959bd1a584119060702f75aeeed83bb29c8d64626\",0,\"lean_workbook_plus_7249\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197071,
+      "path": "data/train/pc9/oproofs-s00002-r00013752-n000004-0000-b1e707b7dbaea1a9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b1e707b7dbaea1a961d855008f7d46cc893b649aa059c9c871d2d0427bf96825"
+    },
+    {
+      "bytes": 98984,
+      "path": "data/internal_test/pc9/oproofs-s00002-r00013752-n000004-0000-f37af3a055bd4653.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "f37af3a055bd4653299e9a1bf3cc0f0509c35fd67a8a3b9a47051b22ef821c25"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013756-n000004.json b/manifests/batches/oproofs/s00002-r00013756-n000004.json
index 9de9cb6f0431f42c3870a11fe0e7d8d87e759f99..72b3add1a805fd7c57b9c03c964985ce35230b3a 100644
--- a/manifests/batches/oproofs/s00002-r00013756-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013756-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013756-n000004",
   "batch_fingerprint": "ddd6eb4d1fa117a64856e071c679bed66a7f637e8794d2d8e158ccd02264b55b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013756-n000004-0000-a8b2a06f249474c5.parquet",
-      "sha256": "a8b2a06f249474c5cdb5081a0c8630a9260b9e2b68b57da1b66251c5962ec0bd",
-      "bytes": 210602,
-      "rows": 17,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13756",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13757",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013757.lean\",\"ae1a158b9cecbed2dd11dc1b6fcc0906dcb07fcf2dd451b10717ad16342e5b75\",0,\"lean_workbook_plus_51840\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013758.lean\",\"6ea16d1850b7a8d3c60e42ae9b99ad50399c9a58848158d68994e4ce49119910\",0,\"lean_workbook_plus_13212\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013759.lean\",\"a1df23308f8f45024dbd4ce4aba7b8d457e43e44b616d633c8858a8f01facb70\",0,\"lean_workbook_plus_3503\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 210602,
+      "path": "data/train/p94/oproofs-s00002-r00013756-n000004-0000-a8b2a06f249474c5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a8b2a06f249474c5cdb5081a0c8630a9260b9e2b68b57da1b66251c5962ec0bd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013760-n000004.json b/manifests/batches/oproofs/s00002-r00013760-n000004.json
index ebca7881e46d80d0e6e282659f3765dc36a8425a..ef3879fe373fab9839ad435a3fe5c5c9590033ce 100644
--- a/manifests/batches/oproofs/s00002-r00013760-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013760-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013760-n000004",
   "batch_fingerprint": "80e7efd1050900f966b0f3575ef1d43e69c4ca012362097676833ed43ea4272f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013760-n000004-0000-6a6b0dc2ac8cc679.parquet",
-      "sha256": "6a6b0dc2ac8cc679c7ecf0743ec58090f57e4dacdd65647682a9ce8288e33b28",
-      "bytes": 208824,
-      "rows": 21,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13760",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13761",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013761.lean\",\"44fb8c70c53fa41630f4c8d0ab35bf6a775f2211f018ab08118bb296b4f87ad8\",0,\"lean_workbook_plus_24544\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013762.lean\",\"31d3f24e8a192af3480eaf34b2ae9fe9a2a690827297cff24d8d95e4d5324520\",0,\"lean_workbook_plus_17700\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013763.lean\",\"3c739cea9c0678166b698f738ba43bc2befaf387e28ee53fc3e55d68746ac283\",0,\"lean_workbook_19072\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 208824,
+      "path": "data/train/p6c/oproofs-s00002-r00013760-n000004-0000-6a6b0dc2ac8cc679.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "6a6b0dc2ac8cc679c7ecf0743ec58090f57e4dacdd65647682a9ce8288e33b28"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013764-n000004.json b/manifests/batches/oproofs/s00002-r00013764-n000004.json
index 27c6c8d1f27562be14f25a2742745dcdc9ee1d0e..317c3991b760e00a2a94078bf5b4bbd2220dedaf 100644
--- a/manifests/batches/oproofs/s00002-r00013764-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013764-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013764-n000004",
   "batch_fingerprint": "4b4edd02d0cccf5e4f57e629389c683df598c6cc0c25427ef495cbfb8d15f145",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013764-n000004-0000-c5f390d59323a868.parquet",
-      "sha256": "c5f390d59323a86846a088b3144b2fa8982395a6b075042d9ca05cde3de3a485",
-      "bytes": 302562,
-      "rows": 12,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13764",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13765",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013765.lean\",\"d413421702a53627da1e67fe6ce81e8e1659bac83f7ccb6ca4322ea6db69aa93\",0,\"lean_workbook_plus_22962\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013766.lean\",\"fa59112c72a05a48e0de338e0253d20541ccf031bf0ff1f75c3cd2f800b7cf59\",0,\"lean_workbook_plus_45693\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013767.lean\",\"fef853187d8d508eba304e2d62123044d67e0433c2bde4da9625f340cc4e68b7\",0,\"lean_workbook_plus_63042\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 302562,
+      "path": "data/train/pc8/oproofs-s00002-r00013764-n000004-0000-c5f390d59323a868.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "c5f390d59323a86846a088b3144b2fa8982395a6b075042d9ca05cde3de3a485"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013768-n000004.json b/manifests/batches/oproofs/s00002-r00013768-n000004.json
index 8204c956f30dc73846ec6fecb462d94b3f6ea5ee..9755de360dae0258336608d0a87ce080595e5a64 100644
--- a/manifests/batches/oproofs/s00002-r00013768-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013768-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013768-n000004",
   "batch_fingerprint": "e741ba1ba7b8736862abe3f0cf68135653ae69fefd1288cbee9c59cb6817d652",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013768-n000004-0000-6a2377ca8d8b48bd.parquet",
-      "sha256": "6a2377ca8d8b48bdc1fff3af8d13898f2c287179bc53df3fcfaeffcf76c12fe3",
-      "bytes": 85526,
-      "rows": 11,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013768-n000004-0000-e2f9692e079a8422.parquet",
-      "sha256": "e2f9692e079a842223eccaf1b2a6724c3d51fa2249ee713ee947ac0d293f7109",
-      "bytes": 244633,
-      "rows": 13,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13768",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13769",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013769.lean\",\"eb50b97be861a001a9bd217be77fbbfa65329b06d63c131a5e95bad3e954c26b\",0,\"lean_workbook_plus_28010\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013770.lean\",\"86580a027a7d4bac7dafaf7c1cd277fe2c4f7d6268ecd92ef8606513b1b81f0b\",0,\"lean_workbook_plus_41136\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013771.lean\",\"10d92434b0a04e3e0feb89d9b0d4975114c9cf543c28e2b5c6199e48f65f0987\",0,\"lean_workbook_22410\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 85526,
+      "path": "data/train/p0e/oproofs-s00002-r00013768-n000004-0000-6a2377ca8d8b48bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "6a2377ca8d8b48bdc1fff3af8d13898f2c287179bc53df3fcfaeffcf76c12fe3"
+    },
+    {
+      "bytes": 244633,
+      "path": "data/internal_test/p0e/oproofs-s00002-r00013768-n000004-0000-e2f9692e079a8422.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "e2f9692e079a842223eccaf1b2a6724c3d51fa2249ee713ee947ac0d293f7109"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013772-n000004.json b/manifests/batches/oproofs/s00002-r00013772-n000004.json
index 10783e545c3d9d741bffb89dd4cc906980de74a0..1d588aa111dd5fae7d0fdc968ae1f418ab480109 100644
--- a/manifests/batches/oproofs/s00002-r00013772-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013772-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013772-n000004",
   "batch_fingerprint": "5c538a0843eb4aa5cca3dcc0e9b8c56a48ffe812be7e0408201bff79cf0e559a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013772-n000004-0000-dd86a1960afbd142.parquet",
-      "sha256": "dd86a1960afbd142c40b731c5142bdc0afd924a170c790ef23d31b40d689b2c0",
-      "bytes": 101119,
-      "rows": 9,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013772-n000004-0000-c741d8f237d66a58.parquet",
-      "sha256": "c741d8f237d66a581aaff0bf16780b4e498402b98c93176363557407c69f9319",
-      "bytes": 62661,
-      "rows": 3,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13772",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13773",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013773.lean\",\"dd47a9034dc0e0c809ee9460bc1667d8628d3885c75e34bd76ea2166c575749a\",0,\"lean_workbook_plus_16484\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013774.lean\",\"4ce5aaa87383c8da312e75ba905a38a1f19332612b3118bbadd661b3f0011061\",0,\"lean_workbook_plus_69465\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013775.lean\",\"a64af5a51e4425fe9910acc25b304f11800b4d19f9d73e03680040d41e339e21\",0,\"lean_workbook_plus_19678\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 101119,
+      "path": "data/train/pd1/oproofs-s00002-r00013772-n000004-0000-dd86a1960afbd142.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "dd86a1960afbd142c40b731c5142bdc0afd924a170c790ef23d31b40d689b2c0"
+    },
+    {
+      "bytes": 62661,
+      "path": "data/internal_test/pd1/oproofs-s00002-r00013772-n000004-0000-c741d8f237d66a58.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "c741d8f237d66a581aaff0bf16780b4e498402b98c93176363557407c69f9319"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013776-n000004.json b/manifests/batches/oproofs/s00002-r00013776-n000004.json
index ab114a47ce5f9e5bdb7898c52abaeb2667250bad..b45d79ed67e8f5b0f2c4d45e3fbe79a4c878e38b 100644
--- a/manifests/batches/oproofs/s00002-r00013776-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013776-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013776-n000004",
   "batch_fingerprint": "97866ceaa1a4db1c2183b4873affad37ccd1e08a79d052e3324251363e900faa",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013776-n000004-0000-fdff44c32db58e6f.parquet",
-      "sha256": "fdff44c32db58e6fb5510a30d20a1ed154607917df91148faa57e15c1c413d48",
-      "bytes": 117993,
-      "rows": 9,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013776-n000004-0000-5e419609d4bc8347.parquet",
-      "sha256": "5e419609d4bc8347851110d61024b45e182891257f331c24a94ba7932a520bed",
-      "bytes": 434906,
-      "rows": 17,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13776",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13777",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013777.lean\",\"f381173466b9dc8605fd89e485f90e6107d08d34c087773c0164a0e98d167b12\",0,\"lean_workbook_43903\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013778.lean\",\"ddd61b8efa0eb50fffc7a3b43d170447bea90c15a61140dbc36be6df70df8cae\",0,\"lean_workbook_17067\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013779.lean\",\"b78e8a7d59651f0cb7f730140c70e8e4ee58e02f2d67401a8a6393de6d6fdae4\",0,\"lean_workbook_plus_40679\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117993,
+      "path": "data/train/p08/oproofs-s00002-r00013776-n000004-0000-fdff44c32db58e6f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "fdff44c32db58e6fb5510a30d20a1ed154607917df91148faa57e15c1c413d48"
+    },
+    {
+      "bytes": 434906,
+      "path": "data/internal_test/p08/oproofs-s00002-r00013776-n000004-0000-5e419609d4bc8347.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "5e419609d4bc8347851110d61024b45e182891257f331c24a94ba7932a520bed"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013780-n000004.json b/manifests/batches/oproofs/s00002-r00013780-n000004.json
index 857dd5664b0e52b8887de233a702ead36ded21d0..43cdd20dc1f1f332ac673864869c432b0041f2a2 100644
--- a/manifests/batches/oproofs/s00002-r00013780-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013780-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013780-n000004",
   "batch_fingerprint": "7b421859d3d544de3a2e2596e6bdb61d69a8129b35f99f74d13c199dbe18091e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013780-n000004-0000-836e226302b71c39.parquet",
-      "sha256": "836e226302b71c39997d4115e62e2d14f8805571a633960c98482d47b9acfda6",
-      "bytes": 118722,
-      "rows": 23,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13780",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13781",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013781.lean\",\"1bbd6ac7e4253b1e70d5d1f28ec7a3ef55b4f2cee7ae391bcc6fe68bcf193db2\",0,\"lean_workbook_27756\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013782.lean\",\"ec540d2984e9114154f962db4e8a216f6bfad67db3aad6f227c789358ae0598d\",0,\"lean_workbook_17926\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013783.lean\",\"5b772011ab641c0b4800f39522bf84e409da2e55f059ed865ec3177770de3785\",0,\"lean_workbook_plus_6997\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 118722,
+      "path": "data/train/p31/oproofs-s00002-r00013780-n000004-0000-836e226302b71c39.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "836e226302b71c39997d4115e62e2d14f8805571a633960c98482d47b9acfda6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013784-n000004.json b/manifests/batches/oproofs/s00002-r00013784-n000004.json
index bbc4cc26a7f13767fedd983ab3117b6120d293a6..259cd24776031096dcd07843551a5771df155230 100644
--- a/manifests/batches/oproofs/s00002-r00013784-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013784-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013784-n000004",
   "batch_fingerprint": "3f9f61ec05a4fb7b9a81b2bdde5f3d66ee707e81bea717d412f794f90353276a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013784-n000004-0000-f169ba5adbde10ea.parquet",
-      "sha256": "f169ba5adbde10eada6ede748bb6ae4c56a7f6e4b16a7da3432b9966fba73305",
-      "bytes": 301573,
-      "rows": 23,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13784",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13785",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013785.lean\",\"ed44a1cdf94d029e7ef1aedfd10b904bba764aa94fa7905b8e0199cc3c27ee34\",0,\"lean_workbook_plus_52703\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013786.lean\",\"1667a82f8a9736a77a745e8c4dccd7f013c90c2c3f1200755a0a6946528c8eef\",0,\"lean_workbook_plus_81931\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013787.lean\",\"9c13b1bc801fde62aa496bf0f6e9a3f13c7dce3832010bca3da62d355ae238ae\",0,\"lean_workbook_43372\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 301573,
+      "path": "data/train/p26/oproofs-s00002-r00013784-n000004-0000-f169ba5adbde10ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f169ba5adbde10eada6ede748bb6ae4c56a7f6e4b16a7da3432b9966fba73305"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013788-n000004.json b/manifests/batches/oproofs/s00002-r00013788-n000004.json
index d678f09be402391500620de777d8708b46c63039..253fc5c459355cfcda09f96c5287b03b91d5586e 100644
--- a/manifests/batches/oproofs/s00002-r00013788-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013788-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013788-n000004",
   "batch_fingerprint": "b06203a8bd0e4822586c6c55cba4b0dc3d752f3132fbf7d95216b452403b5fd8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013788-n000004-0000-977b1e7a2ac5ef51.parquet",
-      "sha256": "977b1e7a2ac5ef5101e05660d8445b158c20cac136cdc121c271c1f2a43d9067",
-      "bytes": 275832,
-      "rows": 16,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13788",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13789",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013789.lean\",\"36840f836d9a78e08fcdb046ccf9aaedce878db264042956ce81afd1fa91de06\",0,\"lean_workbook_2439\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013790.lean\",\"00db74435d4fffb576538363d93184cdd0de3b6a732630a535765860d9bb36dd\",0,\"lean_workbook_47579\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013791.lean\",\"bb2d6faad8127f1c115b785076a8f5a18a017ad890d7b55e05e04e849d1ea0ed\",0,\"lean_workbook_plus_22256\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275832,
+      "path": "data/train/p0e/oproofs-s00002-r00013788-n000004-0000-977b1e7a2ac5ef51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "977b1e7a2ac5ef5101e05660d8445b158c20cac136cdc121c271c1f2a43d9067"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013792-n000004.json b/manifests/batches/oproofs/s00002-r00013792-n000004.json
index 0ae31638cb881166fbac47c34c4d1b15ef07c8ba..ebf3e5ba3825a8374753e268386b12d03a8a725e 100644
--- a/manifests/batches/oproofs/s00002-r00013792-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013792-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013792-n000004",
   "batch_fingerprint": "3db0da14a49d5d271b33d811c30aa2636a86c6e37b6fb8aecb23c6530d92fbde",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013792-n000004-0000-69a0540b7b9deeac.parquet",
-      "sha256": "69a0540b7b9deeacec17932b27f6cb43518081281336b87f63679206a989062c",
-      "bytes": 439246,
-      "rows": 27,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13792",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13793",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013793.lean\",\"c592c5e7f4a3799cacb900bbbef0017b4554711e62bf65de05570b255c248002\",0,\"lean_workbook_plus_44685\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013794.lean\",\"e16246b308a5a24e986581596be492194d21405fe77e0e895a4e64694515b4de\",0,\"lean_workbook_plus_31469\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013795.lean\",\"a9f90528ee193c2a58a237aec41f13d4d3fb398ba0caa63ca0e0eacebf2d7d5d\",0,\"lean_workbook_plus_50197\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 439246,
+      "path": "data/train/pe5/oproofs-s00002-r00013792-n000004-0000-69a0540b7b9deeac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "69a0540b7b9deeacec17932b27f6cb43518081281336b87f63679206a989062c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013796-n000004.json b/manifests/batches/oproofs/s00002-r00013796-n000004.json
index 5e1fbffe006f0c870d9f094a3745f46604ac4108..50477956f9911855ff8a5c3e69fca07cc156dbc3 100644
--- a/manifests/batches/oproofs/s00002-r00013796-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013796-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013796-n000004",
   "batch_fingerprint": "b221ba55fde343e78d7d20d5053794e891d852c887b337bcc71a1eb98390d987",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013796-n000004-0000-9bd367dfddb2f307.parquet",
-      "sha256": "9bd367dfddb2f3079fef69f4b8ca0dcf795a1ac0f0cf76f241ad56b035db49d4",
-      "bytes": 142489,
-      "rows": 10,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013796-n000004-0000-13487f2655a6d4fe.parquet",
-      "sha256": "13487f2655a6d4fee58245fad5684f0d012b38e93c68301467dfaaa95ff1dc8f",
-      "bytes": 80011,
-      "rows": 8,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13796",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13797",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013797.lean\",\"e699619cf2b242acda816333eda3a94079e5880b8f84cfa3a6879214c55b6ca7\",0,\"lean_workbook_plus_56828\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013798.lean\",\"451e8fcb6aaac0f3e17e6a5389f2c3dd0c72bdcde41c214c08b540e4c9188264\",0,\"lean_workbook_39999\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013799.lean\",\"9e828095963315c76c1413b7a3b4a01358e15f490019272f75884a6fc4b6f505\",0,\"lean_workbook_plus_51857\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 142489,
+      "path": "data/train/p4a/oproofs-s00002-r00013796-n000004-0000-9bd367dfddb2f307.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "9bd367dfddb2f3079fef69f4b8ca0dcf795a1ac0f0cf76f241ad56b035db49d4"
+    },
+    {
+      "bytes": 80011,
+      "path": "data/dev/p4a/oproofs-s00002-r00013796-n000004-0000-13487f2655a6d4fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "13487f2655a6d4fee58245fad5684f0d012b38e93c68301467dfaaa95ff1dc8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013800-n000004.json b/manifests/batches/oproofs/s00002-r00013800-n000004.json
index 7a17d8df29f122bb0086b622a480c64f425666bd..d3787a0bac8b343a6ed4f2f7ef5c61de9892ca12 100644
--- a/manifests/batches/oproofs/s00002-r00013800-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013800-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013800-n000004",
   "batch_fingerprint": "d916ba3e7f0bd689c4f7f3111c90849d208193ed97c477e11f191158cf3b567d",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013800-n000004-0000-cc8ee5edb4d5e6fe.parquet",
-      "sha256": "cc8ee5edb4d5e6fe169a78610405da38e6e5c04af8252f66295b38bcd3491219",
-      "bytes": 153840,
-      "rows": 14,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13800",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13801",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013801.lean\",\"eab1e63e6c08c57c6bf279e736cfa043f7635a4645ac418c9a736232e0223b08\",0,\"lean_workbook_plus_78393\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013802.lean\",\"045f4a8d0700b368a310791066fb5532b3bc0f08deebbd755708301cf6494fd3\",0,\"lean_workbook_plus_60134\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013803.lean\",\"10f84c561782b2ddedbceb497e6b419fcbbb59223942f129037016ca23fa6267\",0,\"lean_workbook_plus_3698\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 153840,
+      "path": "data/train/p40/oproofs-s00002-r00013800-n000004-0000-cc8ee5edb4d5e6fe.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "cc8ee5edb4d5e6fe169a78610405da38e6e5c04af8252f66295b38bcd3491219"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013804-n000004.json b/manifests/batches/oproofs/s00002-r00013804-n000004.json
index 3900d89ad2577e9ede31fc1ad91c45dc96376699..7e490664b780b8fd50fb0936dd5ff5f165c0526f 100644
--- a/manifests/batches/oproofs/s00002-r00013804-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013804-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013804-n000004",
   "batch_fingerprint": "afa0673c9ddb28a0f8ebf50df7e9460a60be164b1dcea5ba3bbfb0597066fda8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013804-n000004-0000-85b622fe9965dc3d.parquet",
-      "sha256": "85b622fe9965dc3d64bcf01f9f838e98c7c785e335347d54f8f4ede1eec6c756",
-      "bytes": 362116,
-      "rows": 18,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13804",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13805",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013805.lean\",\"30f7d7af9410eacc606bce1de119fbfc5a4fc299293942ab4da1676014a4abec\",0,\"lean_workbook_plus_72210\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013806.lean\",\"9d547131d97454abfe3c46b8a15e5c0006336baea66ddbb4e3b31710337f9a36\",0,\"lean_workbook_plus_72269\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013807.lean\",\"e1dc7c6cc212cda7f67c2ab7868ac4ea2adcd6f3e01fef845e21b249b12abdf3\",0,\"lean_workbook_10925\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 362116,
+      "path": "data/train/pf9/oproofs-s00002-r00013804-n000004-0000-85b622fe9965dc3d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "85b622fe9965dc3d64bcf01f9f838e98c7c785e335347d54f8f4ede1eec6c756"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013808-n000004.json b/manifests/batches/oproofs/s00002-r00013808-n000004.json
index 00af932367f35a4e4c25fcb70a183eef17832a18..d2b21509d146c3ebda51f1dabdf861c061a0280d 100644
--- a/manifests/batches/oproofs/s00002-r00013808-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013808-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013808-n000004",
   "batch_fingerprint": "be5802daad315fb33504615a44cced08599a88f51169f9a7d7385bb8296b3ba5",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013808-n000004-0000-2048af0f5acc4ba1.parquet",
-      "sha256": "2048af0f5acc4ba1cad669dc6ea22b328382f84bb5c012d3c927e9bba79012dc",
-      "bytes": 483755,
-      "rows": 17,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13808",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13809",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013809.lean\",\"f171335684adafb3f0b3072ab7b3e92fa3c4b19397269d35d2aab5ab118fe164\",0,\"lean_workbook_43427\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013810.lean\",\"e572d40ee68563bedf0faf553f7c28a180f8c1e852b95b68f0c9ac5799cac4de\",0,\"lean_workbook_plus_15961\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013811.lean\",\"042d63176ab2b09465468f6040b93e9162594ee963403b2e981c73bebb00e0a0\",0,\"lean_workbook_plus_73528\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 483755,
+      "path": "data/train/p71/oproofs-s00002-r00013808-n000004-0000-2048af0f5acc4ba1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "2048af0f5acc4ba1cad669dc6ea22b328382f84bb5c012d3c927e9bba79012dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013812-n000004.json b/manifests/batches/oproofs/s00002-r00013812-n000004.json
index f9da5da398440c16c5ffb77978e4f9b978dcb126..e83b0ac05d540b3464630529f0900cafbed001be 100644
--- a/manifests/batches/oproofs/s00002-r00013812-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013812-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013812-n000004",
   "batch_fingerprint": "87d89d1df1aed76d437b574a9ddf9221777c7fda9b630135c7f0cfac95b334c6",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13812",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13813",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13814",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13815"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013812.lean\",\"840ad8750e1b511fcc6895c9560f040f2065d1e2ce0f675a4e03805677b083d0\",0,\"lean_workbook_plus_64797\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013813.lean\",\"1b93dc3d263fbf838cc1ef0f028aa8aeba266aa3fb14c7b08e796742ebed1923\",0,\"lean_workbook_10495\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013814.lean\",\"6db73c65b5416d47b31f750afd6f841543c3902a71974dfb9860ad6ba0f273c7\",0,\"lean_workbook_plus_60645\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013815.lean\",\"7fe0e252027fce4c4da017b1dc90ad7ff39e8a54e63dd172a30e81b6c06aac59\",0,\"lean_workbook_22204\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013812-n000004-0000-682f67fe95fda8d7.parquet",
-      "sha256": "682f67fe95fda8d7c1b61d58a185ef6bd756f13fa6ee8a67705ab3c1953ca6e6",
       "bytes": 355557,
+      "path": "data/train/pd9/oproofs-s00002-r00013812-n000004-0000-682f67fe95fda8d7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
+      "sha256": "682f67fe95fda8d7c1b61d58a185ef6bd756f13fa6ee8a67705ab3c1953ca6e6"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013812-n000004-0001-e1c300c5798d9801.parquet",
-      "sha256": "e1c300c5798d9801156a82daf9c8e6e2feff401600b6207cf580313c43790d86",
       "bytes": 1098695,
+      "path": "data/train/pd9/oproofs-s00002-r00013812-n000004-0001-e1c300c5798d9801.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
+      "sha256": "e1c300c5798d9801156a82daf9c8e6e2feff401600b6207cf580313c43790d86"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013812-n000004-0002-ea58e9c92f1c984b.parquet",
-      "sha256": "ea58e9c92f1c984b5025ebfd31c0a202c6ecbc99d40c3be9e80dc89caf13cb86",
       "bytes": 1091268,
+      "path": "data/train/pd9/oproofs-s00002-r00013812-n000004-0002-ea58e9c92f1c984b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
+      "sha256": "ea58e9c92f1c984b5025ebfd31c0a202c6ecbc99d40c3be9e80dc89caf13cb86"
     },
     {
-      "path": "data/train/oproofs-s00002-r00013812-n000004-0003-d1edcd8f6b2e22bd.parquet",
-      "sha256": "d1edcd8f6b2e22bd9eaf23faa50a6126e28295c5bf303c2fe31c713c39ce407b",
       "bytes": 744955,
+      "path": "data/train/pd9/oproofs-s00002-r00013812-n000004-0003-d1edcd8f6b2e22bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
+      "sha256": "d1edcd8f6b2e22bd9eaf23faa50a6126e28295c5bf303c2fe31c713c39ce407b"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13812",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13813",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13814",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13815"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013812.lean\",\"840ad8750e1b511fcc6895c9560f040f2065d1e2ce0f675a4e03805677b083d0\",0,\"lean_workbook_plus_64797\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013813.lean\",\"1b93dc3d263fbf838cc1ef0f028aa8aeba266aa3fb14c7b08e796742ebed1923\",0,\"lean_workbook_10495\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013814.lean\",\"6db73c65b5416d47b31f750afd6f841543c3902a71974dfb9860ad6ba0f273c7\",0,\"lean_workbook_plus_60645\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013815.lean\",\"7fe0e252027fce4c4da017b1dc90ad7ff39e8a54e63dd172a30e81b6c06aac59\",0,\"lean_workbook_22204\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013816-n000004.json b/manifests/batches/oproofs/s00002-r00013816-n000004.json
index f6af40449186ce09db68d27706e062189b103385..1ec88115573e1f092dbda5d3923f40d0811d51fd 100644
--- a/manifests/batches/oproofs/s00002-r00013816-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013816-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013816-n000004",
   "batch_fingerprint": "7bb0c4d372308a705274b1ef1066b56e22344d5cce1276f7d22a214deb4a5d7a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013816-n000004-0000-af749aa110f69968.parquet",
-      "sha256": "af749aa110f699687c1575f7934f53757c7eb494858d683dff4623308d421e87",
-      "bytes": 812074,
-      "rows": 24,
-      "revision": "f8411ae85df66614eba61ce05454435a8260d552"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13816",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13817",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013817.lean\",\"d57388c6b66abb40c4e6eff20725e1d906bb03048ad91170d345888241ade9ae\",0,\"lean_workbook_16508\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013818.lean\",\"24dd2ccabbdba3a9a864d9562e44b6d2db709f5fc3d640d6f3d4f4a6ebb93834\",0,\"lean_workbook_plus_27562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013819.lean\",\"2b2ce52e2ac06f220cb8be9811156472509709a9a2b3851a501d171efd13d448\",0,\"lean_workbook_55986\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 812074,
+      "path": "data/train/peb/oproofs-s00002-r00013816-n000004-0000-af749aa110f69968.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "af749aa110f699687c1575f7934f53757c7eb494858d683dff4623308d421e87"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013820-n000004.json b/manifests/batches/oproofs/s00002-r00013820-n000004.json
index 02498d4f8a53a77abc91159b6f211ed60f4afef7..cd99c766d0b534f077ab22703c08794e20716564 100644
--- a/manifests/batches/oproofs/s00002-r00013820-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013820-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013820-n000004",
   "batch_fingerprint": "6881af45f17ce52ca90e7aaceebb62913b9ad5911a0af2e9ecf2ea52da23cfba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013820-n000004-0000-47772ff1e58c2530.parquet",
-      "sha256": "47772ff1e58c2530dcdd55bd81d7106f25ca65eb5a6b60db33fa1aaa763f21dc",
-      "bytes": 219195,
-      "rows": 20,
-      "revision": "0be7ead9f59db8b21fa7b3549f15c8d18e6283af"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13820",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13821",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013821.lean\",\"38c93cc80853fa57d749912800746b326190ad9081b601b755cf6c2a8d484fd7\",0,\"lean_workbook_plus_40919\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013822.lean\",\"e8d6a5e9ea02d9b7ad584651781dde232b38b08c1ba82799d7dd7f1334bdb6ee\",0,\"lean_workbook_plus_14658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013823.lean\",\"25d69ceaca16f7a105479915c6a5d6fda6d87c22765453e44b8049c53c029f3f\",0,\"lean_workbook_plus_81548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 219195,
+      "path": "data/train/pb2/oproofs-s00002-r00013820-n000004-0000-47772ff1e58c2530.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "47772ff1e58c2530dcdd55bd81d7106f25ca65eb5a6b60db33fa1aaa763f21dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013824-n000004.json b/manifests/batches/oproofs/s00002-r00013824-n000004.json
index 19f80a3e70cfc52492ba0c7bee98684059bd9bc6..dab3be00cd1b53ba6e6413d5317eaa7809d9bcbd 100644
--- a/manifests/batches/oproofs/s00002-r00013824-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013824-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013824-n000004",
   "batch_fingerprint": "43325fbe6561663d25403f7401c5c17906bdd5191a6c5feedb15bfc805416b38",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013824-n000004-0000-87d95fe7b9c2b8d4.parquet",
-      "sha256": "87d95fe7b9c2b8d44cadde7facab579bd934d90b3cba577f90970ad4ab227c55",
-      "bytes": 117848,
-      "rows": 21,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13824",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13825",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013825.lean\",\"b5e2ac582839321004b556e23db3f71b616da455ef3ebcd9b16f450e57759368\",0,\"percentage_sports\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013826.lean\",\"13d5eb1fd16b23606c304c51b6c1b82b044668ab4ac23b44a463ffe2a2bcaad9\",0,\"fresh_grapes_to_dry_grapes_weight\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013827.lean\",\"b619678b973de1a1d3f72de5cb8dbefd5eebbc5d5274fefed1e891b352201ca5\",0,\"problem_1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 117848,
+      "path": "data/train/pcb/oproofs-s00002-r00013824-n000004-0000-87d95fe7b9c2b8d4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "87d95fe7b9c2b8d44cadde7facab579bd934d90b3cba577f90970ad4ab227c55"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013828-n000004.json b/manifests/batches/oproofs/s00002-r00013828-n000004.json
index f4283d52a1a2b54343bf64a4fdf82b325c3bdfa2..a2e0e6c65ec9655e7348ec19c530667b5732872e 100644
--- a/manifests/batches/oproofs/s00002-r00013828-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013828-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013828-n000004",
   "batch_fingerprint": "b2ade55ed0f8690c34e3e044e69dd0613fc5c7bc49699a867cd17577981f674f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013828-n000004-0000-55a2d4343e03d37b.parquet",
-      "sha256": "55a2d4343e03d37beb5fda6c6880415356a4ca113155a5fb6eaeae666d30b5c9",
-      "bytes": 229722,
-      "rows": 12,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013828-n000004-0000-c14cd77383a447b5.parquet",
-      "sha256": "c14cd77383a447b5adf4caed57fc9072afcc5df9a89569fe575c7f99cd7e88ba",
-      "bytes": 117847,
-      "rows": 4,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13828",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13829",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013829.lean\",\"658e70259a142d8c7faf253c14646cd25be4d6bb5ffa13f715a520c749482d2a\",0,\"max_m_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013830.lean\",\"973736d0aa506f569fdba21e4741a0aa38952bef3b7524598081cfe64016a612\",0,\"example_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013831.lean\",\"b98572971a398a4fe111389a4807ecca1dcb6793e3a34abb17ba38a37da310ea\",0,\"part_I\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 229722,
+      "path": "data/train/pbb/oproofs-s00002-r00013828-n000004-0000-55a2d4343e03d37b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "55a2d4343e03d37beb5fda6c6880415356a4ca113155a5fb6eaeae666d30b5c9"
+    },
+    {
+      "bytes": 117847,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00013828-n000004-0000-c14cd77383a447b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "c14cd77383a447b5adf4caed57fc9072afcc5df9a89569fe575c7f99cd7e88ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013832-n000004.json b/manifests/batches/oproofs/s00002-r00013832-n000004.json
index 15d5d6987625d9c5db5a3d6e2d06ceaaa9ccba8f..dca8d7a7ba24610248e0608c736d1e191288448c 100644
--- a/manifests/batches/oproofs/s00002-r00013832-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013832-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013832-n000004",
   "batch_fingerprint": "047867d1e10e86be186bf542607497520db88be56097685605fda1ed796d4094",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013832-n000004-0000-c32af9946e31c3eb.parquet",
-      "sha256": "c32af9946e31c3ebff0cb5c554feb749630e174acb356d65b35911be69fe41f8",
-      "bytes": 858506,
-      "rows": 33,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13832",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13833",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013833.lean\",\"4e39a7fbb0056aceddb8f028c50a2c5ed04b77f282f7eaf4abffc42168f4d6a4\",0,\"max_value_of_f_on_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013834.lean\",\"6bb8b24366c6327701e6b63696f4710bc09485a8813e2fb59d6ae7d7be99a5c7\",0,\"lean_workbook_plus_2763\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013835.lean\",\"4da895eee1c0ae67ec5e324710ff4991f65f9ce080f990f753dec785b2baa6a4\",0,\"no_increase_or_benefit\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 858506,
+      "path": "data/train/p45/oproofs-s00002-r00013832-n000004-0000-c32af9946e31c3eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 33,
+      "sha256": "c32af9946e31c3ebff0cb5c554feb749630e174acb356d65b35911be69fe41f8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013836-n000004.json b/manifests/batches/oproofs/s00002-r00013836-n000004.json
index 400a0d68ac6df6a6f69df39474bf9e12216c63f8..03a181f46d10e6a192e248bf90e1e1cfbfb51772 100644
--- a/manifests/batches/oproofs/s00002-r00013836-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013836-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013836-n000004",
   "batch_fingerprint": "39c461d3f0858c4b8c8583e5cc2a9ee3039f9f904d4c63eac76239e2cd385db4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013836-n000004-0000-14a3c4353f1f8e13.parquet",
-      "sha256": "14a3c4353f1f8e13aaac3a7c11a542d34b68ca35da906e82e1847787b01dfc4f",
-      "bytes": 129270,
-      "rows": 16,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013836-n000004-0000-175f69add8a394c9.parquet",
-      "sha256": "175f69add8a394c9d52b23f79057c97b1f33e1262f7c6014a2eb8420ae9b1e70",
-      "bytes": 78345,
-      "rows": 4,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13836",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13837",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013837.lean\",\"6b650123c898f85f17cdcb77cdbead9261c9c460255de7ec3ae5c8276b80f7ab\",0,\"arithmetic_sequence_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013838.lean\",\"43bd0d79f453d5009b32e74766bd32897bd3706c93f60e080e5ffb1f639e8709\",0,\"complement_M_eq_C\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013839.lean\",\"7ba888167c964cf604eebed3c40ba1519ced5f3e35f7d93ae5e5acfb2d2db471\",0,\"complement_union_A_B\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 129270,
+      "path": "data/train/pad/oproofs-s00002-r00013836-n000004-0000-14a3c4353f1f8e13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "14a3c4353f1f8e13aaac3a7c11a542d34b68ca35da906e82e1847787b01dfc4f"
+    },
+    {
+      "bytes": 78345,
+      "path": "data/dev/pad/oproofs-s00002-r00013836-n000004-0000-175f69add8a394c9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "175f69add8a394c9d52b23f79057c97b1f33e1262f7c6014a2eb8420ae9b1e70"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013840-n000004.json b/manifests/batches/oproofs/s00002-r00013840-n000004.json
index f7ad03bb895489b585d01698ef3b20555ac06d98..b3863844763a8b17515f81ccc11274b69939b5af 100644
--- a/manifests/batches/oproofs/s00002-r00013840-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013840-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013840-n000004",
   "batch_fingerprint": "68c79466cb3432fe906aa3e05210035265c198ca9788eaae56fc583e30adba69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013840-n000004-0000-1ba4fd2c624f5313.parquet",
-      "sha256": "1ba4fd2c624f5313a367bc9f6d34eb78a2a9a7400cb51aab46e03553b47fa003",
-      "bytes": 184498,
-      "rows": 31,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13840",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13841",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013841.lean\",\"e538e6788b1e3a43b24c6d0e964c9b97f8199883b1e4c2a227f20544186511aa\",0,\"probability_decreasing_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013842.lean\",\"0abf3ecb5698a8844f0ab4b3fe61154a3e4eda93dbefd640dcc1a3eba094f585\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013843.lean\",\"12adff4ce93ebc721298b980ec028b0189c163dde7624ad834af31e6ae34c9c3\",0,\"derivative_sqrt_at_16\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 184498,
+      "path": "data/train/p24/oproofs-s00002-r00013840-n000004-0000-1ba4fd2c624f5313.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 31,
+      "sha256": "1ba4fd2c624f5313a367bc9f6d34eb78a2a9a7400cb51aab46e03553b47fa003"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013844-n000004.json b/manifests/batches/oproofs/s00002-r00013844-n000004.json
index 811a7e0054d443928f411505ffe9ea1a41b77ffa..438e75f57894a35bafe3b7142c4dc61d5392aff2 100644
--- a/manifests/batches/oproofs/s00002-r00013844-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013844-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013844-n000004",
   "batch_fingerprint": "db1bff8a58e406b321692d5f730b2c63148adbf7ee2f67ee0cc96b8f39c06373",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013844-n000004-0000-8e8a8047fd737f78.parquet",
-      "sha256": "8e8a8047fd737f78aed42c0b0552c626f181ff6c075038b2f4581a631587ae1a",
-      "bytes": 455765,
-      "rows": 23,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013844-n000004-0000-3b997aa8b2910b43.parquet",
-      "sha256": "3b997aa8b2910b43cb6515c9ba44ffe87be394d6a195837b2561e861d977a053",
-      "bytes": 70632,
-      "rows": 4,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13844",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13845",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013845.lean\",\"57b4e5109d7a44d3f755f2c36326c2dedfc1b79c8fd505f2d5cc7acee6707071\",0,\"union_sets\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013846.lean\",\"936cf1003b07f3d32651b894b94d81b22f35ecd0d98c7a30896048a59dbb6188\",0,\"daniel_earnings\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013847.lean\",\"805de7c36ceb81969b66f4b665f35d5236ffdf24828851fa7abcddfe258b4264\",0,\"example_2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 455765,
+      "path": "data/train/pfe/oproofs-s00002-r00013844-n000004-0000-8e8a8047fd737f78.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "8e8a8047fd737f78aed42c0b0552c626f181ff6c075038b2f4581a631587ae1a"
+    },
+    {
+      "bytes": 70632,
+      "path": "data/internal_test/pfe/oproofs-s00002-r00013844-n000004-0000-3b997aa8b2910b43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3b997aa8b2910b43cb6515c9ba44ffe87be394d6a195837b2561e861d977a053"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013848-n000004.json b/manifests/batches/oproofs/s00002-r00013848-n000004.json
index 175dde91bdb8149a9f19bd9d183d7c4d5c9bfb58..b702401a2feeb395a4817fb55953236391c54749 100644
--- a/manifests/batches/oproofs/s00002-r00013848-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013848-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013848-n000004",
   "batch_fingerprint": "a8db4f2d5fe841c7e847ebc36b78f6d2dd6784b89dd4f9f761659d0b64a79749",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013848-n000004-0000-012caf1da3940ca5.parquet",
-      "sha256": "012caf1da3940ca5919c741c71215795961791b66f7cf839d363b94b7d3915f5",
-      "bytes": 523278,
-      "rows": 15,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013848-n000004-0000-b6bc86920d106f85.parquet",
-      "sha256": "b6bc86920d106f85e46803c728c0801df3219965a3a0dfc46f7def4f786076dc",
-      "bytes": 44541,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13848",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13849",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013849.lean\",\"ab2268daf4ccbc62db7c056d6bed870aa3fe03b0662ec15037136b770fab1ef8\",0,\"C''_coordinates\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013850.lean\",\"6c447d09cf4b8bf959069c6c788c88ba8e6d3e68fbd9b84a92ddecb089366c14\",0,\"min_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013851.lean\",\"2af61e01783b36978fbd4897a57b45c3e3a2ecb53e7eca0e44dd4d801da6b252\",0,\"lisa_investment\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523278,
+      "path": "data/train/p0b/oproofs-s00002-r00013848-n000004-0000-012caf1da3940ca5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "012caf1da3940ca5919c741c71215795961791b66f7cf839d363b94b7d3915f5"
+    },
+    {
+      "bytes": 44541,
+      "path": "data/internal_test/p0b/oproofs-s00002-r00013848-n000004-0000-b6bc86920d106f85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "b6bc86920d106f85e46803c728c0801df3219965a3a0dfc46f7def4f786076dc"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013852-n000004.json b/manifests/batches/oproofs/s00002-r00013852-n000004.json
index 58e306fe8fb54f9045cd2f0c6b7fc6c31aa21ec2..21ac0021a17c3037458d09626e8a3d057b385e27 100644
--- a/manifests/batches/oproofs/s00002-r00013852-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013852-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013852-n000004",
   "batch_fingerprint": "7749aa4a333145cc3b2ad2eae6f04c0cb4d5e01e2ea64a51e9d0078ac2ae1d16",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013852-n000004-0000-e40976a74cb249d8.parquet",
-      "sha256": "e40976a74cb249d8e527d28d262f1375cd4e196ff4bcdf0a31225c751552b64d",
-      "bytes": 248975,
-      "rows": 10,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013852-n000004-0000-98e647596dae4948.parquet",
-      "sha256": "98e647596dae4948da6c1a962d1585bfbb4321b5cafb2c87dece6685e59bf14b",
-      "bytes": 41754,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13852",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13853",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013853.lean\",\"0562c94bc03407708276bd775e79f1afe7b9970133f3864223f0d00020f8d845\",0,\"tan_beta_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013854.lean\",\"5eeacc4748f3c9bede942eedbc98deac3cbe151f7b3dd774ed5d0f9b01632cae\",0,\"ab_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013855.lean\",\"daa2936eecb2a705b9660e4a9b443165b70208b0afa8ed5aa6564b619534ac2a\",0,\"derivative_ln_one_over_sqrt_one_plus_x_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 248975,
+      "path": "data/train/p00/oproofs-s00002-r00013852-n000004-0000-e40976a74cb249d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "e40976a74cb249d8e527d28d262f1375cd4e196ff4bcdf0a31225c751552b64d"
+    },
+    {
+      "bytes": 41754,
+      "path": "data/dev/p00/oproofs-s00002-r00013852-n000004-0000-98e647596dae4948.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "98e647596dae4948da6c1a962d1585bfbb4321b5cafb2c87dece6685e59bf14b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013856-n000004.json b/manifests/batches/oproofs/s00002-r00013856-n000004.json
index 053e4530e77af1e7221acb4643732a617e36c167..60db37fdd563fd5251021d677fae33b6d70c14a5 100644
--- a/manifests/batches/oproofs/s00002-r00013856-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013856-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013856-n000004",
   "batch_fingerprint": "790aafcb94c415aa086cf93209bf95303633bcae63d60dff34e14aadba398f55",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013856-n000004-0000-6b4a0258b3403e5e.parquet",
-      "sha256": "6b4a0258b3403e5ec5a5259140acf559fe2d0e2f1c611bf6698a2efd0b328d66",
-      "bytes": 224542,
-      "rows": 12,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13856",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13857",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013857.lean\",\"05269a0effb66be23486b1d40856e4a39d7427214033c53b156385bf4da3d697\",0,\"plane_determined_by_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013858.lean\",\"91e81d5a57adf0fc632db3e2622187a23397d65020d5522fd3676b6a0c224dda\",0,\"example7\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013859.lean\",\"5badf96c2c12218e7cdd3fd3c315f3137c724ff55205b60a286905224f51002f\",0,\"f_expression\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 224542,
+      "path": "data/train/p7f/oproofs-s00002-r00013856-n000004-0000-6b4a0258b3403e5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "6b4a0258b3403e5ec5a5259140acf559fe2d0e2f1c611bf6698a2efd0b328d66"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013860-n000004.json b/manifests/batches/oproofs/s00002-r00013860-n000004.json
index 9936e7c4b6fa75bec417b00a6b4920da0938a071..587e39f41bed1fb54288e1d775436690cdf64771 100644
--- a/manifests/batches/oproofs/s00002-r00013860-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013860-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013860-n000004",
   "batch_fingerprint": "7dcbfa9d7c50896f936323c3009803df6131eb52705b7f8ed4d11d85d8e5c5b8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013860-n000004-0000-cb88189c49585c05.parquet",
-      "sha256": "cb88189c49585c05eb6de5c00058731e5ee10faf75ab1312b28aea5dec33a249",
-      "bytes": 103159,
-      "rows": 13,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013860-n000004-0000-19800f0c58e145d3.parquet",
-      "sha256": "19800f0c58e145d37499c373e0d1418b1cdb49a1507fbe4351920aadddc4f822",
-      "bytes": 125710,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13860",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13861",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013861.lean\",\"6077fe06c4b28252f1bb4362726adfb3d3e84cd58550cf9522beadefc2e6919e\",0,\"time_to_finish_remaining_work\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013862.lean\",\"4ffce956604a6b60e0d5f9ebda37f7b2d7d13820c916e51050eb9d9cbfb80f7c\",0,\"f_2017\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013863.lean\",\"2efd2236f9447a569a9ce8c257c425881d4dcdf627f65026bd0058bd9aa79713\",0,\"problem_5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 103159,
+      "path": "data/train/p80/oproofs-s00002-r00013860-n000004-0000-cb88189c49585c05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "cb88189c49585c05eb6de5c00058731e5ee10faf75ab1312b28aea5dec33a249"
+    },
+    {
+      "bytes": 125710,
+      "path": "data/dev/p80/oproofs-s00002-r00013860-n000004-0000-19800f0c58e145d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "19800f0c58e145d37499c373e0d1418b1cdb49a1507fbe4351920aadddc4f822"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013864-n000004.json b/manifests/batches/oproofs/s00002-r00013864-n000004.json
index e82bdcf83481e5ab9f907690ee135105d967e3cb..6a2b9f623bdaf754a740bd413a647c84a26986e7 100644
--- a/manifests/batches/oproofs/s00002-r00013864-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013864-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013864-n000004",
   "batch_fingerprint": "bc7977956cc0897a120bb76092c3e043c485127600b60d1582e2aca784266e8f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013864-n000004-0000-ccb774ad48e2fe19.parquet",
-      "sha256": "ccb774ad48e2fe19da7e29713cbc4a2893ff86d0994f0d2cb9632966749740c1",
-      "bytes": 109672,
-      "rows": 12,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013864-n000004-0000-928aa677bfcd6372.parquet",
-      "sha256": "928aa677bfcd637297f58be8862f8349d5598b410c69ce9f0c86dea6fb5d1463",
-      "bytes": 50324,
-      "rows": 5,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13864",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13865",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013865.lean\",\"8f6b16fbdc83698a6ac03501204276b6e8bf16e70001c22a9110ee420acb3dc8\",0,\"lean_workbook_plus_27562\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013866.lean\",\"73d165680782115c0a8554ccf4f37740b932e4ed79fef98543fba62cedbc44de\",0,\"lean_workbook_55986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013867.lean\",\"b16b04278af4b38ddab0763f8d179e02f2aac9ca4b4d664d8d134b9ba1a39a85\",0,\"lean_workbook_plus_14658\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 109672,
+      "path": "data/train/p64/oproofs-s00002-r00013864-n000004-0000-ccb774ad48e2fe19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "ccb774ad48e2fe19da7e29713cbc4a2893ff86d0994f0d2cb9632966749740c1"
+    },
+    {
+      "bytes": 50324,
+      "path": "data/internal_test/p64/oproofs-s00002-r00013864-n000004-0000-928aa677bfcd6372.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "928aa677bfcd637297f58be8862f8349d5598b410c69ce9f0c86dea6fb5d1463"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013868-n000004.json b/manifests/batches/oproofs/s00002-r00013868-n000004.json
index aed79a243f91845c6f459a299a8ecfc10123353f..59fb21bc96ea76e902a5aa1bb2ed0a22249bb6b2 100644
--- a/manifests/batches/oproofs/s00002-r00013868-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013868-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013868-n000004",
   "batch_fingerprint": "e44117939ad6fbf0cfd66b6ae95194c11d347408c78546120b3546ec66fc8883",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013868-n000004-0000-b3b20e39b0f3b583.parquet",
-      "sha256": "b3b20e39b0f3b58315e974b47467d36b27535208de8253ac0fbce1a28cceb8ad",
-      "bytes": 162885,
-      "rows": 22,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13868",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13869",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013869.lean\",\"ebe2376f4c6d0ccd2c973e65d1f046ca5e6b878dc9222bac454e25eb7d72b719\",0,\"lean_workbook_plus_81548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013870.lean\",\"7ffb25d937140c43c579168a424c28afb20d28518ed95cef458492521f239e6e\",0,\"percentage_sports\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013871.lean\",\"3a77d19a5af71f9db05803220d09f57a13951ee5e83cac9597546fd046f63003\",0,\"part_A\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 162885,
+      "path": "data/train/p95/oproofs-s00002-r00013868-n000004-0000-b3b20e39b0f3b583.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "b3b20e39b0f3b58315e974b47467d36b27535208de8253ac0fbce1a28cceb8ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013872-n000004.json b/manifests/batches/oproofs/s00002-r00013872-n000004.json
index c76158c13700b74336c17fa7d6da89c9c55574c3..8cd9aaf7230dc24da4bcf7f6560110bf36952761 100644
--- a/manifests/batches/oproofs/s00002-r00013872-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013872-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013872-n000004",
   "batch_fingerprint": "69b8ab05f3a1465f544082abac44e1fd8db9c1fc463ee824505760d9c17c1deb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013872-n000004-0000-7d23ab056bc358f7.parquet",
-      "sha256": "7d23ab056bc358f79b54af9c8a08b21a2bf9094dde782f581e6ed3ec008ae867",
-      "bytes": 371221,
-      "rows": 24,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13872",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13873",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013873.lean\",\"bcffb2cd510eaeb6b4dd013dce1ae5561c80c4a873f5e91622bd3f58092c3f25\",0,\"problem_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013874.lean\",\"89517799a162b6e65bf3a289a87ac53b28935c3e5f11784fe3d285c08ff05357\",0,\"lean_workbook_plus_40919\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013875.lean\",\"a1052e92f3a30bd97e6f4dbae121795c9192cd2e2f322ebc5468bfb0f4a48a86\",0,\"lean_workbook_plus_16377\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371221,
+      "path": "data/train/p77/oproofs-s00002-r00013872-n000004-0000-7d23ab056bc358f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7d23ab056bc358f79b54af9c8a08b21a2bf9094dde782f581e6ed3ec008ae867"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013876-n000004.json b/manifests/batches/oproofs/s00002-r00013876-n000004.json
index 169548ed74829ffe919101752b3687523af88678..148d1191a23dfc981109a110b1bd1d13d3477aba 100644
--- a/manifests/batches/oproofs/s00002-r00013876-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013876-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013876-n000004",
   "batch_fingerprint": "e513ca2f6b5d0053276cc95b9c60e45e4cf47cb5e96bfa839b7ed97aed0d671b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013876-n000004-0000-e7adc06087da22bd.parquet",
-      "sha256": "e7adc06087da22bd97bd3a0460c4116ea2ad02ff16f377b550236d880b0eee35",
-      "bytes": 755324,
-      "rows": 17,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13876",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13877",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013877.lean\",\"e72e0511493457850e133c3acd0037f07f5828dabb247dd8351254ef76a6486e\",0,\"no_increase_or_benefit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013878.lean\",\"a3477e6cd437d3797ece8993eb50a670b6c50206d681fad6d784e83329b814df\",0,\"lean_workbook_plus_2763\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013879.lean\",\"ddcbcede2a60b29a7f71be336022b5f39fef4ed6ed1976e557f1d38b1525de56\",0,\"shortest_chord_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 755324,
+      "path": "data/train/p92/oproofs-s00002-r00013876-n000004-0000-e7adc06087da22bd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e7adc06087da22bd97bd3a0460c4116ea2ad02ff16f377b550236d880b0eee35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013880-n000004.json b/manifests/batches/oproofs/s00002-r00013880-n000004.json
index f1acb1dec69558656d5f4c4ffe1e3e1d58bd538e..0f220e3f59b29345e078e1902c27779cb3772910 100644
--- a/manifests/batches/oproofs/s00002-r00013880-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013880-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013880-n000004",
   "batch_fingerprint": "5cce5aa8767a2d6c05c0bf077286f8344e95b84ff7d6cd613c5a030c0257f229",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013880-n000004-0000-f5c1b51f12113e4c.parquet",
-      "sha256": "f5c1b51f12113e4c9441e220a00077406c321a86efc124d1b931f278fbc5636b",
-      "bytes": 468403,
-      "rows": 16,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013880-n000004-0000-2473cc83832d5ac9.parquet",
-      "sha256": "2473cc83832d5ac9a83b56c4066fc004457cd850d6c580757e977a1f11da2aca",
-      "bytes": 153008,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13880",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13881",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013881.lean\",\"fdd922215fdce91a03f4570e9c212c6f1e505bbe813ef2c0b59034a353e7f1ff\",0,\"complement_M_eq_C\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013882.lean\",\"ae12a7eb33b3fa7e23850766f91b07a21bfae029e9657541b536560826c699b3\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013883.lean\",\"7b264250a4a306062014e1c196b58bed55a39d3cd49c00e23ee2895d371fb9d0\",0,\"problem_1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 468403,
+      "path": "data/train/pb3/oproofs-s00002-r00013880-n000004-0000-f5c1b51f12113e4c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f5c1b51f12113e4c9441e220a00077406c321a86efc124d1b931f278fbc5636b"
+    },
+    {
+      "bytes": 153008,
+      "path": "data/internal_test/pb3/oproofs-s00002-r00013880-n000004-0000-2473cc83832d5ac9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2473cc83832d5ac9a83b56c4066fc004457cd850d6c580757e977a1f11da2aca"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013884-n000004.json b/manifests/batches/oproofs/s00002-r00013884-n000004.json
index 7d2f74155bb735e2e593c13ea60128960fa3ed45..ddeee5e3d9901392c18309716b5ee4dcbaf3d092 100644
--- a/manifests/batches/oproofs/s00002-r00013884-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013884-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013884-n000004",
   "batch_fingerprint": "6bbdeca73b0533e40d1c0f6ad8dd46a37140b34a072631564c15243c2d946c89",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013884-n000004-0000-f8801baf5ea48bce.parquet",
-      "sha256": "f8801baf5ea48bce200c85a6ea06f604f347790a750cf112e0154d803f98241c",
-      "bytes": 488995,
-      "rows": 23,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13884",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13885",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013885.lean\",\"67c287cacdb63f6a73483471ed906496f3e61d018d139eca6413cc9a07653302\",0,\"probability_decreasing_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013886.lean\",\"a8bc2cefdd59b40d65fe905bb3ae7a63bc5ecaf6bdea0afa2238ae80deeae342\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013887.lean\",\"9def815988208ed133d928a8c40f277d1893229d5d6041c73ef8411e0b3b6e3f\",0,\"exists_sum_modulus_ge_one_sixth\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 488995,
+      "path": "data/train/p03/oproofs-s00002-r00013884-n000004-0000-f8801baf5ea48bce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "f8801baf5ea48bce200c85a6ea06f604f347790a750cf112e0154d803f98241c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013888-n000004.json b/manifests/batches/oproofs/s00002-r00013888-n000004.json
index 2e5a18f7d61fb867940cbd46c0586e85b5dacfec..9c0ab906b9c3732d60abd303fbf45b95f3e2de8a 100644
--- a/manifests/batches/oproofs/s00002-r00013888-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013888-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013888-n000004",
   "batch_fingerprint": "2519ba6a63177e4d054f93403cda8c1b5dca2630851296f35de3881be564f451",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013888-n000004-0000-0274dc40cd8eb0d2.parquet",
-      "sha256": "0274dc40cd8eb0d2736374a637880d67d8498f8a17350f43b845ce00c8c2e2f9",
-      "bytes": 202472,
-      "rows": 13,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13888",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13889",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013889.lean\",\"5a80759a58121d702af8d2b9ae36fe5e3a136c15065f032c749a60f5a1eab34c\",0,\"salary_recovery\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013890.lean\",\"8d7c0d6f5c7a7c624e7a5f5f765afb117061d1ff8be78a1f7569cd2cd81b13c3\",0,\"derivative_sqrt_at_16\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013891.lean\",\"24b5d54036f009576d1cac0948088b140a0df9df5d65c97a1258b581f5450280\",0,\"a_beats_b_by_32_meters\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 202472,
+      "path": "data/train/p48/oproofs-s00002-r00013888-n000004-0000-0274dc40cd8eb0d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0274dc40cd8eb0d2736374a637880d67d8498f8a17350f43b845ce00c8c2e2f9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013892-n000004.json b/manifests/batches/oproofs/s00002-r00013892-n000004.json
index 279a707609fd124bb74f965cbc0bb1157ad3ff85..00ecafc447072359e79b3011276218f0c7e9644c 100644
--- a/manifests/batches/oproofs/s00002-r00013892-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013892-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013892-n000004",
   "batch_fingerprint": "3520e6ff87e059bfbe7ca56592478381171f1944132f7c844418ebb0b20ddb0b",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013892-n000004-0000-202b8191860e4488.parquet",
-      "sha256": "202b8191860e4488e8a3fddce78a2de92dc7cddc5988986cb63e91c23c52ba99",
-      "bytes": 275469,
-      "rows": 19,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013892-n000004-0000-784db80114a6d7db.parquet",
-      "sha256": "784db80114a6d7db46cba352bc5122d8dcbface0b5576c82e32bcc85cdef0393",
-      "bytes": 63482,
-      "rows": 4,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13892",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13893",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013893.lean\",\"4263e7dc1c16b9d432ba8250efbbcc98ecbf0ce96692da367efe40184e68aeb3\",0,\"lean_workbook_plus_8703\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013894.lean\",\"2d56a6c6ecad8d817e95fad7f8c58f1880942664de50f2e29ba31ce447e4bff0\",0,\"intersection_A_B\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013895.lean\",\"b62c895fe596d83e2e3f4278a3676ca35937ae73b2e06a963f4c8515bc3e1a49\",0,\"daniel_earnings\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 275469,
+      "path": "data/train/p8a/oproofs-s00002-r00013892-n000004-0000-202b8191860e4488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "202b8191860e4488e8a3fddce78a2de92dc7cddc5988986cb63e91c23c52ba99"
+    },
+    {
+      "bytes": 63482,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00013892-n000004-0000-784db80114a6d7db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "784db80114a6d7db46cba352bc5122d8dcbface0b5576c82e32bcc85cdef0393"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013896-n000004.json b/manifests/batches/oproofs/s00002-r00013896-n000004.json
index 5162b3731862dc8f723aef1252bda87955de3f8b..baebc2e202ee73d76e924a3d5199caf9ee063450 100644
--- a/manifests/batches/oproofs/s00002-r00013896-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013896-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013896-n000004",
   "batch_fingerprint": "9b2929b615ba84702154e0d6e053f7a8748c307d4b7353ea62fbe048444b57f2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013896-n000004-0000-8ddce7bd6d4bb7e1.parquet",
-      "sha256": "8ddce7bd6d4bb7e171ac317f5d9d4eaeed45f7b0e764ecae418b37dc9a6e5d08",
-      "bytes": 132046,
-      "rows": 15,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13896",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13897",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013897.lean\",\"11bfda519929cbeed94d7d5e9592979feb95531aa916f0302cbbbd20eb164e26\",0,\"lisa_investment\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013898.lean\",\"e197bfe2967a2cd9d9acd6d1793fd2df53bbd2725ef60df3f903023b548ae5f9\",0,\"total_amount_spent\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013899.lean\",\"a92b5150c30283001dea9d0f145116be7110b08864d01d4f627decc61da37510\",0,\"tan_beta_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 132046,
+      "path": "data/train/pc4/oproofs-s00002-r00013896-n000004-0000-8ddce7bd6d4bb7e1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "8ddce7bd6d4bb7e171ac317f5d9d4eaeed45f7b0e764ecae418b37dc9a6e5d08"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013900-n000004.json b/manifests/batches/oproofs/s00002-r00013900-n000004.json
index cdcb0cea029a2184123737cce9df92876fca19b6..3643a56e1bcef749f1c724221e1ff35f157dd0dc 100644
--- a/manifests/batches/oproofs/s00002-r00013900-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013900-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013900-n000004",
   "batch_fingerprint": "afd75987303caec3acafbc2f1c98d806d7d0c6f63b30f3189b6e4f8fa3e116b4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013900-n000004-0000-e9eef4a77f7a3575.parquet",
-      "sha256": "e9eef4a77f7a357506e38c89d81f723dce1917f34e9faa4f30b08880cb2f356d",
-      "bytes": 164415,
-      "rows": 20,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13900",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13901",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013901.lean\",\"8b8da5bc4667ef3fcfa94782b5ec7c4fa282571bed320fed812e2b60c8136498\",0,\"plumber_salary_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013902.lean\",\"aee5efdf3f3da9a73366cdc0bdef650c03993abe825e2f06b397571c6d3dc8a6\",0,\"ratio_area_I_to_U\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013903.lean\",\"7477537e4cee2be9e89ac3ac480987deeb8b3200eb958e6f84f99b1d8ab5a8ee\",0,\"derivative_ln_one_over_sqrt_one_plus_x_sq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 164415,
+      "path": "data/train/p25/oproofs-s00002-r00013900-n000004-0000-e9eef4a77f7a3575.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "e9eef4a77f7a357506e38c89d81f723dce1917f34e9faa4f30b08880cb2f356d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013904-n000004.json b/manifests/batches/oproofs/s00002-r00013904-n000004.json
index 2f5b1ee6d8fa624127297c12e92c0558c51b3e07..ed30d5ddba6b462ea78a6f93069d58241130453d 100644
--- a/manifests/batches/oproofs/s00002-r00013904-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013904-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013904-n000004",
   "batch_fingerprint": "3a2c8c8bd9a71f91e54a8dd782bfd2105427f17736c0d7b8f862b467b509f73a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013904-n000004-0000-8b1401e50b4d8068.parquet",
-      "sha256": "8b1401e50b4d80681c9db7cd865c7a6fe3bb3e63fcc8a26b77d72e9bec3fda77",
-      "bytes": 668893,
-      "rows": 10,
-      "revision": "24328c1ca4034d0e7b639799cae8d8e45f964898"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013904-n000004-0000-0ab935e5e6ba9481.parquet",
-      "sha256": "0ab935e5e6ba94817022f7309a4625485ef9b17ac8c4cdc15dbddbf3e67425a8",
-      "bytes": 281411,
-      "rows": 3,
-      "revision": "24328c1ca4034d0e7b639799cae8d8e45f964898"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13904",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13905",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013905.lean\",\"162dd11c56759dd751d41a5a162c1b638cb45a061646fc0cdb1e794c66a87258\",0,\"line_segment_has_measurable_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013906.lean\",\"e2f4944060e788feb13e55e365d93eb6fbc61561850e982217c8e3abb5fc738a\",0,\"range_of_x1_times_two_times_x3_times_x4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013907.lean\",\"9af0c4a92b327eb31fe06de97efcfb57f9a8bffd991a025791ca6f2a26dd97e2\",0,\"cos_theta_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 668893,
+      "path": "data/train/pe0/oproofs-s00002-r00013904-n000004-0000-8b1401e50b4d8068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "8b1401e50b4d80681c9db7cd865c7a6fe3bb3e63fcc8a26b77d72e9bec3fda77"
+    },
+    {
+      "bytes": 281411,
+      "path": "data/dev/pe0/oproofs-s00002-r00013904-n000004-0000-0ab935e5e6ba9481.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "0ab935e5e6ba94817022f7309a4625485ef9b17ac8c4cdc15dbddbf3e67425a8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013908-n000004.json b/manifests/batches/oproofs/s00002-r00013908-n000004.json
index cb733285378ab71c369c2656d97ebe9ddea6514f..659475956735b9ee09fd35282d8f11816ac0771f 100644
--- a/manifests/batches/oproofs/s00002-r00013908-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013908-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013908-n000004",
   "batch_fingerprint": "856b2c81ac00ae89ef1030844e777637db5eda118e0a20952d2aaa54721f955a",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013908-n000004-0000-933a1a0a4b6a7ce9.parquet",
-      "sha256": "933a1a0a4b6a7ce9b1ea9f0636f70189373bfc3ef8d006ca11a026e3c4436f50",
-      "bytes": 190486,
-      "rows": 14,
-      "revision": "24328c1ca4034d0e7b639799cae8d8e45f964898"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13909",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13910",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013909.lean\",\"ea456e55ce5740d5c665e041ecc20cdec4dc94a00ba94a73decce1456d3fcbd1\",0,\"example7\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013910.lean\",\"6fbdc1fea8e921ce6c6a5f3809b17d9a548034c68a2c5597bd1b3b131ea47419\",0,\"f_expression\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013911.lean\",\"7d0c8ebe71f323d9d936ea86578df80dbb9a9e37612870ce6fe1b6a082e0c52e\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190486,
+      "path": "data/train/pbb/oproofs-s00002-r00013908-n000004-0000-933a1a0a4b6a7ce9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "933a1a0a4b6a7ce9b1ea9f0636f70189373bfc3ef8d006ca11a026e3c4436f50"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013912-n000004.json b/manifests/batches/oproofs/s00002-r00013912-n000004.json
index 4b88c1555a8b9f17a38e76920963bb6bc8425d36..e3c0a3790afedc0be56a885f4bdb6b7561541cbd 100644
--- a/manifests/batches/oproofs/s00002-r00013912-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013912-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013912-n000004",
   "batch_fingerprint": "4cb58b9d9edb4046caca11a8c224f6721ee34348b04a9a40e906223789d0ad6c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013912-n000004-0000-f39d7ce988180a29.parquet",
-      "sha256": "f39d7ce988180a299bbbed8bd0b9b05944519366e9a9f3d09683c794b8c41746",
-      "bytes": 141195,
-      "rows": 14,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13912",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13913",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013913.lean\",\"efdfae625e725c865e393a83965a9cb669e56ff43d79d84d1b606618439699cd\",0,\"time_to_finish_remaining_work\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013914.lean\",\"fff9c72a4b66e6f8d46bea20743748dc07556d342c0ca2517730758b46d2042d\",0,\"max_f5_on_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013915.lean\",\"04dd6514a89f718627721a4bd21e5c77cfcdb375091d97d45850a903394e8d34\",0,\"problem_5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 141195,
+      "path": "data/train/p63/oproofs-s00002-r00013912-n000004-0000-f39d7ce988180a29.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f39d7ce988180a299bbbed8bd0b9b05944519366e9a9f3d09683c794b8c41746"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013916-n000004.json b/manifests/batches/oproofs/s00002-r00013916-n000004.json
index 4f707f8cfe85d7266ee9a78c0b54ed09d107c848..1ae0d86ac047aebb692e09583b43b7d208526d73 100644
--- a/manifests/batches/oproofs/s00002-r00013916-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013916-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013916-n000004",
   "batch_fingerprint": "c6e58334232cb5b276d5eebd37c0b53a89c5ab64302381b12d1d40e097dba615",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013916-n000004-0000-93bff347277325d3.parquet",
-      "sha256": "93bff347277325d3f4d7da40faa2654fc88e179ca7159221713b05f49091eaa7",
-      "bytes": 158310,
-      "rows": 18,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13916",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13917",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013917.lean\",\"7d5a7872051601ad58f93a6b9ae138c5f7322ab7bfe834ac2bac1b9d05adc2da\",0,\"lean_workbook_30390\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013918.lean\",\"8dd18f7b6b8887286044bdc96ed762c6219588d52d4bdece8a94a74eda07c445\",0,\"lean_workbook_55986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013919.lean\",\"8296cc61355d4bc5c79c271029361cf46130c131e272a08fb7bc0faa2cef2a4f\",0,\"lean_workbook_16508\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 158310,
+      "path": "data/train/p0a/oproofs-s00002-r00013916-n000004-0000-93bff347277325d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "93bff347277325d3f4d7da40faa2654fc88e179ca7159221713b05f49091eaa7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013920-n000004.json b/manifests/batches/oproofs/s00002-r00013920-n000004.json
index c39f6698298b69af8acf2cdb437958a79fb6d29f..fe54fd80936e00722b1c36c0882805dbd9bded96 100644
--- a/manifests/batches/oproofs/s00002-r00013920-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013920-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013920-n000004",
   "batch_fingerprint": "91dc594c8fba94c263aa0576ea5546bfb8ac2dc41caca4246c12f402c10c336b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013920-n000004-0000-75a7457799f47540.parquet",
-      "sha256": "75a7457799f47540fd0f4eccab0f7e41d68dfbae3ac1fd1505f2eb26f729e670",
-      "bytes": 102312,
-      "rows": 19,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13920",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13921",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013921.lean\",\"107963c593b50b2ac244001891f687ef61ea1d46008a5f2a5ce755c88b95ee8b\",0,\"restaurant_sales_total\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013922.lean\",\"e8b19ab0e8d31fefd12140c97d36606eb7e66e177252a772470aa01d5c7eba22\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013923.lean\",\"51ea086e103ab99506ac9c166a466b4873a943386a37f75c5d1dd450b3297cea\",0,\"percentage_sports\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 102312,
+      "path": "data/train/pe4/oproofs-s00002-r00013920-n000004-0000-75a7457799f47540.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "75a7457799f47540fd0f4eccab0f7e41d68dfbae3ac1fd1505f2eb26f729e670"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013924-n000004.json b/manifests/batches/oproofs/s00002-r00013924-n000004.json
index 3f6b42209053ba0a11bf8d6bde8bd046b809ca9a..63c44bd8500e121d463dfb7fddbfc002a4ab4b5e 100644
--- a/manifests/batches/oproofs/s00002-r00013924-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013924-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013924-n000004",
   "batch_fingerprint": "f1b2d13435d35cf903f09c81994b09e77d20183f580940ad52e1b1999025e2ba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013924-n000004-0000-fd513e644bb935d8.parquet",
-      "sha256": "fd513e644bb935d8934fea9f4c2f589041259563dce728ea2c13a78fb2b8f6a9",
-      "bytes": 190193,
-      "rows": 20,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13924",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13925",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013925.lean\",\"9d1e43d2ba84a4ab958750cc203e5ab2471ca887cc8853bb9b7788302470994b\",0,\"lean_workbook_plus_81548\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013926.lean\",\"cc61baa5f6a0e3e6466883f9f8d53f2ba2741ca5df773ffb5cae29d095a2fd57\",0,\"lean_workbook_plus_40919\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013927.lean\",\"72a4ed24c977fe374e6b326f20b72a026337ffaacf25e9234c4e60a21b570234\",0,\"max_m_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 190193,
+      "path": "data/train/p38/oproofs-s00002-r00013924-n000004-0000-fd513e644bb935d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "fd513e644bb935d8934fea9f4c2f589041259563dce728ea2c13a78fb2b8f6a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013928-n000004.json b/manifests/batches/oproofs/s00002-r00013928-n000004.json
index 186c5460d3ecdc07e257261eb791b01f232fc587..1c36caf1eca2422d8af5f5f2f15e2a857300d6e1 100644
--- a/manifests/batches/oproofs/s00002-r00013928-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013928-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013928-n000004",
   "batch_fingerprint": "994fdb81aeb9c7cdeee004558c72dcccdc15f77eacff8f616266f81e301134ec",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013928-n000004-0000-fa5b0ff0ee7790e7.parquet",
-      "sha256": "fa5b0ff0ee7790e7029c892e369efea1059b7061147f38b641f9b28374ff1896",
-      "bytes": 391562,
-      "rows": 25,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13928",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13929",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013929.lean\",\"f4c0b4d249dd79fce1cefff03540184f984b4beed90796937c40e7013a845584\",0,\"no_increase_or_benefit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013930.lean\",\"d88f9d5f85e666be50391f8d6e0441b73a51ac1255b28269ba6018852b33076c\",0,\"area_ratio_N1N2N3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013931.lean\",\"500a47a4b47960cd4dfa575b31f4c95032876cf908e78f4b0343f0baca538ecc\",0,\"part_I\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 391562,
+      "path": "data/train/pef/oproofs-s00002-r00013928-n000004-0000-fa5b0ff0ee7790e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "fa5b0ff0ee7790e7029c892e369efea1059b7061147f38b641f9b28374ff1896"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013932-n000004.json b/manifests/batches/oproofs/s00002-r00013932-n000004.json
index 637650b8d9ab5f74a3d13a0f542a8e1eaa1c03b1..0063ae2a60e015a9279dbebc3670f0d9bef1805c 100644
--- a/manifests/batches/oproofs/s00002-r00013932-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013932-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013932-n000004",
   "batch_fingerprint": "101e7ec0180a0a1ca82885137f889e87a09fb298458b5efe29aa5b4e161fe4ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013932-n000004-0000-7ee15561ae150673.parquet",
-      "sha256": "7ee15561ae1506731781cba6964af4a89fd66e9f1d754714ce084abc0def7383",
-      "bytes": 299742,
-      "rows": 22,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13932",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13933",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013933.lean\",\"8642be281627ec38ccfec5cf7bc87553dda595d07562ca762fa8a5ff17766ae8\",0,\"arithmetic_sequence_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013934.lean\",\"13369a983a368b8e9cbf9a0c1d9e13b493a20014dd348aad8aa868ae9b1d4ad8\",0,\"complement_M_eq_C\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013935.lean\",\"824e7edcc1213a2ff434eebe91608a67b3f2c0969621c2f7f233096647acd92b\",0,\"a_2019_eq_8076_plus_sqrt5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 299742,
+      "path": "data/train/pba/oproofs-s00002-r00013932-n000004-0000-7ee15561ae150673.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "7ee15561ae1506731781cba6964af4a89fd66e9f1d754714ce084abc0def7383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013936-n000004.json b/manifests/batches/oproofs/s00002-r00013936-n000004.json
index 94f2f317fb492ed608356b8c787d51fbc21217a9..bb0aab61873605efc0720e3c40ebec56e9243b3b 100644
--- a/manifests/batches/oproofs/s00002-r00013936-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013936-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013936-n000004",
   "batch_fingerprint": "d78080ec50cd77e16275aeaf7d6dc8ee43b293967a1074816217d9ca0bad0bb0",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013936-n000004-0000-f4297e00ed510e64.parquet",
-      "sha256": "f4297e00ed510e64184f90944406d5cae3d756653581ea0edf82397ecf64f9c3",
-      "bytes": 250062,
-      "rows": 29,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013936-n000004-0000-865f9a545a2fdf87.parquet",
-      "sha256": "865f9a545a2fdf873b800f0543d642431063e84d5dc75bf2d5b5325679e1ae57",
-      "bytes": 272299,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13936",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13937",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013937.lean\",\"be0cfb958e63b0dca6d6e477133ada632c61fad578fd783e039a6ff3b793640b\",0,\"lean_workbook_plus_2763\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013938.lean\",\"f973dbe4481d7e234ec0af36cf143263c06a7779c3f6bd001aabcfb6d8822a31\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013939.lean\",\"9e295edbd8e6bae5b18dc365853755ab0b2690bce5d53f09b7a4c0d0a7ded2ee\",0,\"probability_decreasing_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 250062,
+      "path": "data/train/paf/oproofs-s00002-r00013936-n000004-0000-f4297e00ed510e64.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "f4297e00ed510e64184f90944406d5cae3d756653581ea0edf82397ecf64f9c3"
+    },
+    {
+      "bytes": 272299,
+      "path": "data/internal_test/paf/oproofs-s00002-r00013936-n000004-0000-865f9a545a2fdf87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "865f9a545a2fdf873b800f0543d642431063e84d5dc75bf2d5b5325679e1ae57"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013940-n000004.json b/manifests/batches/oproofs/s00002-r00013940-n000004.json
index 8b50a15e5811e6f3a2cb12dde66d01cced561e28..a856fe3a05c0ed173e3bf78394e14c47b4e634ac 100644
--- a/manifests/batches/oproofs/s00002-r00013940-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013940-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013940-n000004",
   "batch_fingerprint": "55b6e3a0c9b276f1f8edefad55caca0abd013af6676834071726646cd5ce9677",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013940-n000004-0000-6d8a4af08c063cb9.parquet",
-      "sha256": "6d8a4af08c063cb9472268b7b067be84a6a1bceee36ac6d2909f39f1553e40a8",
-      "bytes": 84105,
-      "rows": 14,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00013940-n000004-0000-2c84cf11396d81b6.parquet",
-      "sha256": "2c84cf11396d81b6f94450caadc12772a033be95a3326c06b112f287fa0a1981",
-      "bytes": 178199,
-      "rows": 4,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13940",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13941",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013941.lean\",\"4cb7d6d85baff86dc33d2affad5c2df4c0f66eb49bc42fb4be52bc8a14c12762\",0,\"example_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013942.lean\",\"f42b5c2283943b6bdbd73f46980a75d913dcd88cd4224ea79d62d7bdc9ed4f4a\",0,\"derivative_sqrt_at_16\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013943.lean\",\"f91a8ff33bfda5b0d30a424eaee1692155d8205803198dcf294cda6206b75cde\",0,\"a_beats_b_by_32_meters\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 84105,
+      "path": "data/train/pac/oproofs-s00002-r00013940-n000004-0000-6d8a4af08c063cb9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6d8a4af08c063cb9472268b7b067be84a6a1bceee36ac6d2909f39f1553e40a8"
+    },
+    {
+      "bytes": 178199,
+      "path": "data/internal_test/pac/oproofs-s00002-r00013940-n000004-0000-2c84cf11396d81b6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "2c84cf11396d81b6f94450caadc12772a033be95a3326c06b112f287fa0a1981"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013944-n000004.json b/manifests/batches/oproofs/s00002-r00013944-n000004.json
index f446224ce617d1a4a39de349cd9de869e032be1c..b1014d99839de19010e6d4069d4542f00fd3f071 100644
--- a/manifests/batches/oproofs/s00002-r00013944-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013944-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013944-n000004",
   "batch_fingerprint": "183d618ddcb8c7fbce87b8eea6bb938527d60f1ac5a45898ab4fec8701fb9cf3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013944-n000004-0000-05174eb0b1796159.parquet",
-      "sha256": "05174eb0b17961595e0983499394166504f5172f8c9874c55713310577aee986",
-      "bytes": 597749,
-      "rows": 19,
-      "revision": "24328c1ca4034d0e7b639799cae8d8e45f964898"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13944",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13945",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013945.lean\",\"a36ced13761e4a62662a31ca36748f0626b7a4677aa95ee9ca865817b857ee64\",0,\"net_effect_on_sale\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013946.lean\",\"11aa70fdf5be57cbeb148923fccdc8df84bf3ba0cf5ece593f8c5ad70540f54f\",0,\"B_pow_2024\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013947.lean\",\"e62e0685078b9fd3c38f44074508559658a94b9a3df41701e0b82159cd6a9c4e\",0,\"ellipsoid_volume\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 597749,
+      "path": "data/train/p22/oproofs-s00002-r00013944-n000004-0000-05174eb0b1796159.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "05174eb0b17961595e0983499394166504f5172f8c9874c55713310577aee986"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013948-n000004.json b/manifests/batches/oproofs/s00002-r00013948-n000004.json
index 6095746585ccdd625d3ee60699f976fcc2cd9f89..45fa61507b26dfce5a6bb1a34b78eb190f817f57 100644
--- a/manifests/batches/oproofs/s00002-r00013948-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013948-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013948-n000004",
   "batch_fingerprint": "d7a0a73dd7bc99aed9bba0520511417ba35c228734a68b1d44db1e131d5633c1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013948-n000004-0000-e3859780fd315b4e.parquet",
-      "sha256": "e3859780fd315b4e099614356f879dd16e9e2efcbdd6328aa75ea97c62d132eb",
-      "bytes": 48045,
-      "rows": 8,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00013948-n000004-0000-cd1c4b177049edde.parquet",
-      "sha256": "cd1c4b177049edde6402a5c61010136c8c9e35d29c30455e066efb803f7eaba2",
-      "bytes": 41781,
-      "rows": 2,
-      "revision": "4a94f791f66b9706f392c463a995cc424ef38eca"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13948",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13949",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013949.lean\",\"47655051d77394ede5f7b325b14bf0161b2e1152aba31655f3ffabd3c812ee68\",0,\"C''_coordinates\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013950.lean\",\"2a09413859b29537231897b927344315769f28b8c1c53ace0a46527b0ac32cdd\",0,\"lisa_investment\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013951.lean\",\"8cb2b3e110b78839e654f5a3eb5727c1a1628c3ef211a71de0b4ce7b33babb56\",0,\"total_amount_spent\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 48045,
+      "path": "data/train/p07/oproofs-s00002-r00013948-n000004-0000-e3859780fd315b4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e3859780fd315b4e099614356f879dd16e9e2efcbdd6328aa75ea97c62d132eb"
+    },
+    {
+      "bytes": 41781,
+      "path": "data/dev/p07/oproofs-s00002-r00013948-n000004-0000-cd1c4b177049edde.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "cd1c4b177049edde6402a5c61010136c8c9e35d29c30455e066efb803f7eaba2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013952-n000004.json b/manifests/batches/oproofs/s00002-r00013952-n000004.json
index 5b4055cff5d63b45bca30138e474d049fd599303..08368afb051d26f9dfc6537ba503fac00ec39935 100644
--- a/manifests/batches/oproofs/s00002-r00013952-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013952-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013952-n000004",
   "batch_fingerprint": "e7de54f81a946b0ab7b8b6c81fc796a4384aebbc26a0d51276be229f0b280850",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013952-n000004-0000-5d5b7d498af7d7e7.parquet",
-      "sha256": "5d5b7d498af7d7e7b6640b5dd182f57bd42b9e4e5daa2eecd9ec9b5f2943b33a",
-      "bytes": 149469,
-      "rows": 15,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13952",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13953",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013953.lean\",\"53b0a6199d88b96f83a4f8f82dd821f348ebb151616b458ceb9a6cd8b7c50177\",0,\"ab_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013954.lean\",\"cbee5bc7a265da2209a097e57d40e4cd5a42a6d087e6d7ead753f074eb111b0c\",0,\"ratio_area_I_to_U\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013955.lean\",\"8a22de2b334d35e4e328e25a6841c23b0077e69e1f0472da07a92d3f926c808f\",0,\"area_triangle\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 149469,
+      "path": "data/train/pbb/oproofs-s00002-r00013952-n000004-0000-5d5b7d498af7d7e7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5d5b7d498af7d7e7b6640b5dd182f57bd42b9e4e5daa2eecd9ec9b5f2943b33a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013956-n000004.json b/manifests/batches/oproofs/s00002-r00013956-n000004.json
index b48c4fd39d08043003c924da3284860b1aa57da5..1ee4d68b4c0b703e29a2d68b40c79486eef73028 100644
--- a/manifests/batches/oproofs/s00002-r00013956-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013956-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013956-n000004",
   "batch_fingerprint": "ec29d67eeb8529999c937289347097bb2e361e30481720b2a4ad55bb4220e2c4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013956-n000004-0000-dad935730f1f3482.parquet",
-      "sha256": "dad935730f1f3482008d31beca63442f798afdcf7cf728d3dcf7e446521146c8",
-      "bytes": 888495,
-      "rows": 20,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13956",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13957",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013957.lean\",\"4746ecded5a02d8fe5dd3740c7f2ce524f1bb716e11c43afbe10815878491d38\",0,\"min_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013958.lean\",\"e3068c3adf0447db5d28b93afb1790de9fa17e449df56c637e9e4fbc158557d7\",0,\"part_A\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013959.lean\",\"bc151b1968225563cdcf6f89dcbecfd262234a9db55cb4dcae4aad3af9920d87\",0,\"line_segment_has_measurable_length\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 888495,
+      "path": "data/train/p07/oproofs-s00002-r00013956-n000004-0000-dad935730f1f3482.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "dad935730f1f3482008d31beca63442f798afdcf7cf728d3dcf7e446521146c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013960-n000004.json b/manifests/batches/oproofs/s00002-r00013960-n000004.json
index e33a590736803e127f6db1ca1042683d75c99323..5f7f9337932a989d056396f72ef97db18ac9f5e8 100644
--- a/manifests/batches/oproofs/s00002-r00013960-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013960-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013960-n000004",
   "batch_fingerprint": "6910ada0546ce9ecaee7772480b768a2d57f476120caee5eb2669ff157ab8510",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13960",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13961",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13962",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13963"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013960.lean\",\"e3aa6aa8982cce2a7db8ce9feaeb570942cfa29e9095fd168e1144a1cb5c77c2\",0,\"example_2\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013961.lean\",\"5e1890ebb47d8063b409433e1f9df9220276fe19f89f5c4ab382609270343aea\",0,\"range_of_x1_times_two_times_x3_times_x4\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013962.lean\",\"a3916a8af0c29493ff103942b64606c76f457e3b7dbff4373297616b607fb56d\",0,\"sum_b_seq\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013963.lean\",\"0eadf59e992373e1ced8c4daecba7b3427c8e0a6f29eb5d951ed141b78fcbbeb\",0,\"plane_determined_by_triangle\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00013960-n000004-0000-980c96f334c1bb42.parquet",
-      "sha256": "980c96f334c1bb425878f2e7ffd32cd68204a5a39ea21aa2db5454b87c6ac471",
       "bytes": 432855,
+      "path": "data/train/p47/oproofs-s00002-r00013960-n000004-0000-980c96f334c1bb42.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 11,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "980c96f334c1bb425878f2e7ffd32cd68204a5a39ea21aa2db5454b87c6ac471"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00013960-n000004-0000-cae5d7cd8030ce85.parquet",
-      "sha256": "cae5d7cd8030ce85f407869bc0930d698f7ebd13711109dd015af994393c9c56",
       "bytes": 261865,
+      "path": "data/dev/p47/oproofs-s00002-r00013960-n000004-0000-cae5d7cd8030ce85.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "cae5d7cd8030ce85f407869bc0930d698f7ebd13711109dd015af994393c9c56"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00013960-n000004-0000-6092a07317f90b48.parquet",
-      "sha256": "6092a07317f90b482c6aae399774d8f312941b09280d4d119c843287b92be092",
       "bytes": 173846,
+      "path": "data/internal_test/p47/oproofs-s00002-r00013960-n000004-0000-6092a07317f90b48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "6092a07317f90b482c6aae399774d8f312941b09280d4d119c843287b92be092"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13960",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13961",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13962",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13963"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013960.lean\",\"e3aa6aa8982cce2a7db8ce9feaeb570942cfa29e9095fd168e1144a1cb5c77c2\",0,\"example_2\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013961.lean\",\"5e1890ebb47d8063b409433e1f9df9220276fe19f89f5c4ab382609270343aea\",0,\"range_of_x1_times_two_times_x3_times_x4\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013962.lean\",\"a3916a8af0c29493ff103942b64606c76f457e3b7dbff4373297616b607fb56d\",0,\"sum_b_seq\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013963.lean\",\"0eadf59e992373e1ced8c4daecba7b3427c8e0a6f29eb5d951ed141b78fcbbeb\",0,\"plane_determined_by_triangle\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013964-n000004.json b/manifests/batches/oproofs/s00002-r00013964-n000004.json
index da278c6ae453b6245c3ceb90f1954d4a9e3d3755..e4f0d0772cb3a6b8b1225ab9654575d226891e9b 100644
--- a/manifests/batches/oproofs/s00002-r00013964-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013964-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013964-n000004",
   "batch_fingerprint": "d76684087ca5b8ee4c9ac78362fa59f7022b01008d0abffbfdd0e57e5812d16e",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013964-n000004-0000-beef0ad3ec27daf6.parquet",
-      "sha256": "beef0ad3ec27daf67291af6c714a9bee9ab8ba1c7ab0cbd60ffd2cfba4f0d403",
-      "bytes": 134218,
-      "rows": 11,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13964",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13965",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013965.lean\",\"09709a3386ecee1149c2db6523a99207aa050c0299be341756c0cdf7c7018085\",0,\"f_expression\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013966.lean\",\"4a3d02d057ff3ba5f0e46a7b01a4182a5e110fa6ecb406b8b4fde718bd144942\",0,\"time_to_finish_remaining_work\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013967.lean\",\"4bc205ab2f2c7bba3bc3924ab08e55c03d046752e0aa6ec1d7b1d12effae2a3b\",0,\"sphere_surface_area_right_triangular_rectangular_pyramid\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 134218,
+      "path": "data/train/p63/oproofs-s00002-r00013964-n000004-0000-beef0ad3ec27daf6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "beef0ad3ec27daf67291af6c714a9bee9ab8ba1c7ab0cbd60ffd2cfba4f0d403"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013968-n000004.json b/manifests/batches/oproofs/s00002-r00013968-n000004.json
index 89094033b0ca3f8eeded9fde46ad7972a59c86eb..efa94e31a5d050d1d40cd45ae943ce01925dcfd8 100644
--- a/manifests/batches/oproofs/s00002-r00013968-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013968-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013968-n000004",
   "batch_fingerprint": "a6509df16eafa5795690471eaa11ef54e23a1959ce68f4490083db6027d5385a",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013968-n000004-0000-484686a5b7c01bf1.parquet",
-      "sha256": "484686a5b7c01bf1181ce12a3ae6d54fa0641ab0acfdab9c1aa670660ca45f6c",
-      "bytes": 251614,
-      "rows": 13,
-      "revision": "25f5d0b773b3d33246c273edbb47c811b23696cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13968",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13969",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013968.lean\",\"e18fd49f96dde13f2a8f1413e4ed68e4da294ba1df81eabb6de780cd5c4e41b0\",0,\"problem_5\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013969.lean\",\"e9725bf54eabd7a747e0d4bb23b6a8f496d66e729f32cb1ab72d71bc6de8a212\",0,\"grape_juice_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013970.lean\",\"3067797d869bfed52f4bfa90a16268b6228cb2646465db095882f856dae5fce4\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 251614,
+      "path": "data/train/p7f/oproofs-s00002-r00013968-n000004-0000-484686a5b7c01bf1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "484686a5b7c01bf1181ce12a3ae6d54fa0641ab0acfdab9c1aa670660ca45f6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013972-n000004.json b/manifests/batches/oproofs/s00002-r00013972-n000004.json
index b4a28fdee269ae6f3ecb8b180f0b63ce3d9ffd07..96928c9357d5abf7f2797f8de9d1a1d9c115797d 100644
--- a/manifests/batches/oproofs/s00002-r00013972-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013972-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013972-n000004",
   "batch_fingerprint": "2fe5242581cd7440451ba96cec028e93786d859510e57464b6a41d85d697954a",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013972-n000004-0000-72cc4c457cb39684.parquet",
-      "sha256": "72cc4c457cb39684289eb8b275d953ab43bb17662b63d459763045005e6e39cf",
-      "bytes": 108329,
-      "rows": 18,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13972",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13973",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013973.lean\",\"b1cb26556c12cac1e0efd9e370ce12f1c73aff2b448a210c56ba0839e0899b56\",0,\"percentage_sports\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013974.lean\",\"a4721ba8ad66e132e71f5495e23700464db92a425a6f3cb92dadecc29dcb5594\",0,\"lean_workbook_55986\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013975.lean\",\"cd653ee357578b45a6ccab98315f42249e2367f7211cdd4978b5afe85cfd5b44\",0,\"lean_workbook_plus_27562\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 108329,
+      "path": "data/train/pda/oproofs-s00002-r00013972-n000004-0000-72cc4c457cb39684.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "72cc4c457cb39684289eb8b275d953ab43bb17662b63d459763045005e6e39cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013976-n000004.json b/manifests/batches/oproofs/s00002-r00013976-n000004.json
index d68ab10d1065f9e6edb178c1182d3328233bc11e..b576226b1d9e2fcee5305534a141d2d13a26c6d1 100644
--- a/manifests/batches/oproofs/s00002-r00013976-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013976-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013976-n000004",
   "batch_fingerprint": "3d51d03e9ecd8b82aac3ac903f7be3d2ca579d45195614f47e448e781584ce7f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013976-n000004-0000-625dfe9c2b73658c.parquet",
-      "sha256": "625dfe9c2b73658c6a871fd60e333b2b1e08688ebbba6b5f7b005bfa9c2ae407",
-      "bytes": 175807,
-      "rows": 22,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13976",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13977",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013977.lean\",\"b840497e02e271f71653b602ca9599ccf76f056d0601b772fc379fa6ee693815\",0,\"base_seven_product_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013978.lean\",\"f047d8dea13674255557022d4c9c2a43ebc2a5546d73b6e494649a4346b3bcf7\",0,\"problem_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013979.lean\",\"38a4c3340c6b2083d54ec39511f5ffc4d26b3c13abb4e80de64b64cb2ffd094f\",0,\"part_A\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 175807,
+      "path": "data/train/pbd/oproofs-s00002-r00013976-n000004-0000-625dfe9c2b73658c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "625dfe9c2b73658c6a871fd60e333b2b1e08688ebbba6b5f7b005bfa9c2ae407"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013980-n000004.json b/manifests/batches/oproofs/s00002-r00013980-n000004.json
index ef8c866f1328a9b447c0a6c1b5a61975c7bfb45b..d80ec82e4fe3700a070cd2921dae97429aca65ce 100644
--- a/manifests/batches/oproofs/s00002-r00013980-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013980-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013980-n000004",
   "batch_fingerprint": "2368840addcac4da8f3d74b414ea3affc7e1a8202e6ffd8a7205f338fe3ae384",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013980-n000004-0000-5e62c30827f46f2a.parquet",
-      "sha256": "5e62c30827f46f2a9f4f78bc0016c75e2297b02a41ef310d96c6e9ed2d5867ce",
-      "bytes": 206120,
-      "rows": 25,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13980",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13981",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013981.lean\",\"cbe40a8f314dbd7a30de4ec9fed640f3e7d9db0974111e160bc35eb02f6c9987\",0,\"lean_workbook_plus_14658\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013982.lean\",\"6192c6ec83e646697062fc33cc71e6d7d45835dc7c9cdf86017ea29a396108e3\",0,\"no_increase_or_benefit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013983.lean\",\"d3713de496a3d1f69e5ee29f335cceaa7ab4687161471aa4a53e3cd88e818b28\",0,\"lean_workbook_plus_81548\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206120,
+      "path": "data/train/p09/oproofs-s00002-r00013980-n000004-0000-5e62c30827f46f2a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "5e62c30827f46f2a9f4f78bc0016c75e2297b02a41ef310d96c6e9ed2d5867ce"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013984-n000004.json b/manifests/batches/oproofs/s00002-r00013984-n000004.json
index 3c5f5d1d2a6e0041454497a922f2756026ab316c..24e0805b85af11edc28ef7eefe6e18a8b6d40fef 100644
--- a/manifests/batches/oproofs/s00002-r00013984-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013984-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013984-n000004",
   "batch_fingerprint": "b89e851bfb763b58a038d0ce68e54c6466a00c8a2c6a08149b280dbb903abe8c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013984-n000004-0000-cf4d8f3c14234e1e.parquet",
-      "sha256": "cf4d8f3c14234e1eb32c5e23adc5d47ca58d18afa839c1ad0e7025d5b05f82ac",
-      "bytes": 264197,
-      "rows": 24,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13984",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13985",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013985.lean\",\"8337a430c0b27e3b86574cefab0e96bb5aead0c02cb52335c6788203ab5ba487\",0,\"max_value_of_f_on_interval\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013986.lean\",\"c913f944e773538827dacd60a881d20f04542e7784d3d42c14cc5e829ace7257\",0,\"shortest_chord_length\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013987.lean\",\"116acbc85865564b214deb87326fc42282a004c169ea72d3e6cd832fefc91eb7\",0,\"a_2019_eq_8076_plus_sqrt5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 264197,
+      "path": "data/train/p9a/oproofs-s00002-r00013984-n000004-0000-cf4d8f3c14234e1e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "cf4d8f3c14234e1eb32c5e23adc5d47ca58d18afa839c1ad0e7025d5b05f82ac"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013988-n000004.json b/manifests/batches/oproofs/s00002-r00013988-n000004.json
index 4e1f0ff3002470b05489ffc7c5593766ecefdbf7..6e50da88c543f5a48462df406d5b4c428ad824ce 100644
--- a/manifests/batches/oproofs/s00002-r00013988-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013988-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013988-n000004",
   "batch_fingerprint": "8f333208a6d3b86480e077f80abeb82f1e86a06b693f0129b7df1dc6285484f1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013988-n000004-0000-18fb27bfcbb8f0df.parquet",
-      "sha256": "18fb27bfcbb8f0dfe6c56a297ab5cfdcc2277985b792120bdcd335e470e40cf8",
-      "bytes": 638693,
-      "rows": 22,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13988",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13989",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013989.lean\",\"626438322c6a2965943002eef949cc9ad57f3e2f9b95d77e161974f8c771b72d\",0,\"problem_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013990.lean\",\"4cb3633b949447fbe8fb39750eb5d2680d340c8c27754e585b42a7a392dc8ffd\",0,\"lean_workbook_plus_16377\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013991.lean\",\"62b6f8e651e502d54e41de3cc2df43ea353e28129b1a5775a459bc315bf86024\",0,\"problem_1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 638693,
+      "path": "data/train/pef/oproofs-s00002-r00013988-n000004-0000-18fb27bfcbb8f0df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "18fb27bfcbb8f0dfe6c56a297ab5cfdcc2277985b792120bdcd335e470e40cf8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013992-n000004.json b/manifests/batches/oproofs/s00002-r00013992-n000004.json
index f3cf18bc33f9738b6c8c2c72f5468ad3a5ef27a1..13537474f37af3a7cdfb7e0a6e7ae8c0477a339f 100644
--- a/manifests/batches/oproofs/s00002-r00013992-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013992-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013992-n000004",
   "batch_fingerprint": "b12bcc5cd9315d6fe14e3271609278965321d669bed1fc338ee851af48c514f8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013992-n000004-0000-6c2782f36fc89502.parquet",
-      "sha256": "6c2782f36fc895025b7ae73b4e362890dd87f834b9b113441a8a480e984be2ae",
-      "bytes": 213479,
-      "rows": 22,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13992",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13993",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013993.lean\",\"8f7354ed1aac280ce5a9f00ca1249e9e636c0b24a15b547542e70652436d8be2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013994.lean\",\"d88c8c32638c869d621972ef07b60dba1d5452a36fda1080efce23fcefd58b22\",0,\"derivative_sqrt_at_16\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013995.lean\",\"66c7b9b7768fd530a5989c5af455573f216967a2b7b699f277530a592cc38c96\",0,\"salary_recovery\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 213479,
+      "path": "data/train/p60/oproofs-s00002-r00013992-n000004-0000-6c2782f36fc89502.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6c2782f36fc895025b7ae73b4e362890dd87f834b9b113441a8a480e984be2ae"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00013996-n000004.json b/manifests/batches/oproofs/s00002-r00013996-n000004.json
index d8ca946c44ba50c94cfabc9fce6675f8642cee5c..58959e40a3a9881e6439eba3c161191128e5e29b 100644
--- a/manifests/batches/oproofs/s00002-r00013996-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00013996-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00013996-n000004",
   "batch_fingerprint": "cd93eddccca4d9eee2aa61c33bf2063ad21f3116a4148f8ff0d611a61d0faf85",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00013996-n000004-0000-cfe7e80e03886f02.parquet",
-      "sha256": "cfe7e80e03886f02cf906b7ad3ff4d0d3309b4ea88a1f631d0d9db38bcc0fdf2",
-      "bytes": 638981,
-      "rows": 26,
-      "revision": "25f5d0b773b3d33246c273edbb47c811b23696cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13996",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:13997",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013997.lean\",\"c649ff1698a9d1a9caffb117aceb052e6ebe005c8c195a0c87062b07259b4e20\",0,\"B_pow_2024\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013998.lean\",\"07686eaaa611b9f2f04c0a55183b1f6cd88cf10f8865d096dca05a99e06b287a\",0,\"integral_sqrt_1_minus_x_sq_plus_2x\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_013999.lean\",\"91a18cf88c95685b85669dce68fbf2addd35cee074ac4e466de863fd66ad91f4\",0,\"intersection_A_B\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 638981,
+      "path": "data/train/pf2/oproofs-s00002-r00013996-n000004-0000-cfe7e80e03886f02.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "cfe7e80e03886f02cf906b7ad3ff4d0d3309b4ea88a1f631d0d9db38bcc0fdf2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014000-n000004.json b/manifests/batches/oproofs/s00002-r00014000-n000004.json
index a9adeae015bc75b7431c0820f6635eadc0830f3a..56685726d753fe552434f53296846e4c1f88a9cc 100644
--- a/manifests/batches/oproofs/s00002-r00014000-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014000-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014000-n000004",
   "batch_fingerprint": "39dd0430b5d058fade76f75b454f3edb288875559abe8347e19a93aafe4e5adb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014000-n000004-0000-97f6c35863222b41.parquet",
-      "sha256": "97f6c35863222b410b8accc09bb9401622ed9464a3d7bcc89624c371412b64fe",
-      "bytes": 505502,
-      "rows": 15,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14000",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14001",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014001.lean\",\"c81690c1d4861d02050d5d0e55da420ac99e66e46a743c2e6ca2195f6bb77ceb\",0,\"C''_coordinates\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014002.lean\",\"823c913eac9c6c98d3b7e031527da8edd25b2ce6635bb02d93f9abde5e72e9ad\",0,\"ellipsoid_volume\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014003.lean\",\"b17102d97d564b3ef2fc230c41cd44ebdadca8372239cc16831853a85dea1473\",0,\"problem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 505502,
+      "path": "data/train/pf3/oproofs-s00002-r00014000-n000004-0000-97f6c35863222b41.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "97f6c35863222b410b8accc09bb9401622ed9464a3d7bcc89624c371412b64fe"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014004-n000004.json b/manifests/batches/oproofs/s00002-r00014004-n000004.json
index 411db6726e46e1698c222631b0b5041b5b6d75cf..3cc22132f507b081e6d2e485818c9c895c750573 100644
--- a/manifests/batches/oproofs/s00002-r00014004-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014004-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014004-n000004",
   "batch_fingerprint": "dbdd510e472204d9df76fdaa3af2ab50f79a82a6cbaef34b7e08b7a97d4f7d66",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14004",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14005",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14006",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14007"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014004.lean\",\"41d997b0b32f9b8bd2951a33c9532fcaf1b3eced3f1c5a1c18d54c9a16198df6\",0,\"total_amount_spent\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014005.lean\",\"32d5c9cb3ff75494aaf57344b91b7441d034155f62f24803f0fe6f39b77fb1ef\",0,\"example_1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014006.lean\",\"14844786203a719a583658f8b62466b668b0b512854c0a09f4a6da8960c2479c\",0,\"torch_relay_probability\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014007.lean\",\"8e3ac4e466037c60e96f6b19adebbdfb9c889323a5a52495bbd10b80edd3a4b5\",0,\"plumber_salary_percentage\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014004-n000004-0000-3f1d0a86eaf15e68.parquet",
-      "sha256": "3f1d0a86eaf15e68b7f44d4db10945717bbd1a7d99f25572600bce4f0bdf6c95",
       "bytes": 66215,
+      "path": "data/train/p8a/oproofs-s00002-r00014004-n000004-0000-3f1d0a86eaf15e68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "3f1d0a86eaf15e68b7f44d4db10945717bbd1a7d99f25572600bce4f0bdf6c95"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014004-n000004-0000-4018faffb359d580.parquet",
-      "sha256": "4018faffb359d580bc9c85849c12c711a300791cfa174cdcc81a541aba844f7f",
       "bytes": 41604,
+      "path": "data/dev/p8a/oproofs-s00002-r00014004-n000004-0000-4018faffb359d580.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "4018faffb359d580bc9c85849c12c711a300791cfa174cdcc81a541aba844f7f"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014004-n000004-0000-0f1febb536c3192a.parquet",
-      "sha256": "0f1febb536c3192a50d77f0d6bc21d4b97e45eae7930dfd5f0a1522ca9fb1b30",
       "bytes": 292604,
+      "path": "data/internal_test/p8a/oproofs-s00002-r00014004-n000004-0000-0f1febb536c3192a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "0f1febb536c3192a50d77f0d6bc21d4b97e45eae7930dfd5f0a1522ca9fb1b30"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14004",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14005",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14006",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14007"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014004.lean\",\"41d997b0b32f9b8bd2951a33c9532fcaf1b3eced3f1c5a1c18d54c9a16198df6\",0,\"total_amount_spent\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014005.lean\",\"32d5c9cb3ff75494aaf57344b91b7441d034155f62f24803f0fe6f39b77fb1ef\",0,\"example_1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014006.lean\",\"14844786203a719a583658f8b62466b668b0b512854c0a09f4a6da8960c2479c\",0,\"torch_relay_probability\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014007.lean\",\"8e3ac4e466037c60e96f6b19adebbdfb9c889323a5a52495bbd10b80edd3a4b5\",0,\"plumber_salary_percentage\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014008-n000004.json b/manifests/batches/oproofs/s00002-r00014008-n000004.json
index 0e53ef467ccf3f97cc99a95a6b1bfb1d085767fd..5bf47cd1e8f3e0d42b158fc36d70a768d12cc0b6 100644
--- a/manifests/batches/oproofs/s00002-r00014008-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014008-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014008-n000004",
   "batch_fingerprint": "806e1270f9ed49d84cda0243c879e5aa31596e6b48593aa74852875f88bfb9e0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014008-n000004-0000-47ecec8cc5277ac6.parquet",
-      "sha256": "47ecec8cc5277ac6b41848b3a9dd0d5064b976391dcb8b6da6e8d988383472d2",
-      "bytes": 625344,
-      "rows": 23,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14008",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14009",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014009.lean\",\"f1bbdedf8b7f79ef2ed8358b6d5f88f94eaeda80983b0661c85bc747bdb1c437\",0,\"area_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014010.lean\",\"503563a723a1ddbc7547c3667a44620194314b0767d7e4783bcd5f08bd47abe8\",0,\"derivative_ln_one_over_sqrt_one_plus_x_sq\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014011.lean\",\"b61e7135ca604a18d7bfb7dbbc9bfc449cd5e5eabe0a589cb6768a63c7638136\",0,\"ab_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 625344,
+      "path": "data/train/pd8/oproofs-s00002-r00014008-n000004-0000-47ecec8cc5277ac6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "47ecec8cc5277ac6b41848b3a9dd0d5064b976391dcb8b6da6e8d988383472d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014012-n000004.json b/manifests/batches/oproofs/s00002-r00014012-n000004.json
index 2f36737584028d01f1c3065fc9c4fafa084ce362..0cf634a3ebb6270d9db5cca7008f88fe6bc0f3c5 100644
--- a/manifests/batches/oproofs/s00002-r00014012-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014012-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014012-n000004",
   "batch_fingerprint": "b0c1f968a08664ad539b48a97c41d38ed2f0a63f258dbc4eb0d95661e28afcc8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014012-n000004-0000-db0842f88e9bb8e8.parquet",
-      "sha256": "db0842f88e9bb8e8cd56f18b3ac762acea51249bddf4eb0e6042d70592481883",
-      "bytes": 147110,
-      "rows": 12,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14012",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14013",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014013.lean\",\"722d94eea04353bec1acfeabf3e8633ef3737ad626668b5dc520c9ab2df36991\",0,\"plane_determined_by_triangle\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014014.lean\",\"08a4916138699182468c8f4bd02176b757f82a4e03dbad6f4367ed652a637688\",0,\"example7\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014015.lean\",\"29e2c9cfe6cbf62cc103a723699c6604c283407ba8274cd5b46d7719d823a801\",0,\"part1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 147110,
+      "path": "data/train/p0d/oproofs-s00002-r00014012-n000004-0000-db0842f88e9bb8e8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "db0842f88e9bb8e8cd56f18b3ac762acea51249bddf4eb0e6042d70592481883"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014016-n000004.json b/manifests/batches/oproofs/s00002-r00014016-n000004.json
index d0d9e958fb0ea8354c6f387d38bd357b8e27c676..239290110aaca3c6452ce035912a1df1ffa2662a 100644
--- a/manifests/batches/oproofs/s00002-r00014016-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014016-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014016-n000004",
   "batch_fingerprint": "af87abed75405cb4271e8249a9664aa2ce99464865a570700955a253a7448f94",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014016-n000004-0000-bc72128277dab4ea.parquet",
-      "sha256": "bc72128277dab4eacd362e960d9ee99979191d8fde37abae47402900428dad1c",
-      "bytes": 169729,
-      "rows": 11,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14016",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14017",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014017.lean\",\"7684980690870be95bfa9b73726c9d83d73e73f1d6385a764559fff8bdda256e\",0,\"time_to_finish_remaining_work\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014018.lean\",\"b22e1ecdcc557d14dc138948b13760e2de37197623098a70c4b30b506a0b0a43\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014019.lean\",\"a671bf2667edd1045c6a3da6d78e9abfaf58087c18d10d0317f75a4f43ffcbb2\",0,\"max_f5_on_interval\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 169729,
+      "path": "data/train/pa4/oproofs-s00002-r00014016-n000004-0000-bc72128277dab4ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "bc72128277dab4eacd362e960d9ee99979191d8fde37abae47402900428dad1c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014020-n000004.json b/manifests/batches/oproofs/s00002-r00014020-n000004.json
index 492379c880ce1c44326fd8a57c9f7e87f6d18d26..9b968164659b2142c2333342ee161cc0f03d3fae 100644
--- a/manifests/batches/oproofs/s00002-r00014020-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014020-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014020-n000004",
   "batch_fingerprint": "6052350390076184974d4697d1ab2e965d2d6f7703b72cc3bb1d874bc45b431d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014020-n000004-0000-71ec3750817aa5a4.parquet",
-      "sha256": "71ec3750817aa5a48eb3487c6e752e8a73f2fcba061ae055f5aded04bd8fa565",
-      "bytes": 867584,
-      "rows": 34,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014020-n000004-0001-dc91eccf87807033.parquet",
-      "sha256": "dc91eccf8780703356d4b8a238807aebb9fc0bfa5f5dc50f73ba797d6b154124",
-      "bytes": 66050,
-      "rows": 1,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14020",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14021",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014021.lean\",\"29ac451c82b91b338c7b958789f03394715defe28c1f3679675b7916a3070bfe\",0,\"grape_juice_percentage\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014022.lean\",\"127527bd03f2bc124298365de9f6c4f07653beb84fcf8a266ee29ceab4a06312\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014023.lean\",\"ca2897646cc9a0593b2d9588ed0a25280c785f69e8a80a81369391d9adaf1f38\",0,\"min_max_sum_ratios\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 867584,
+      "path": "data/train/p75/oproofs-s00002-r00014020-n000004-0000-71ec3750817aa5a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 34,
+      "sha256": "71ec3750817aa5a48eb3487c6e752e8a73f2fcba061ae055f5aded04bd8fa565"
+    },
+    {
+      "bytes": 66050,
+      "path": "data/train/p75/oproofs-s00002-r00014020-n000004-0001-dc91eccf87807033.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 1,
+      "sha256": "dc91eccf8780703356d4b8a238807aebb9fc0bfa5f5dc50f73ba797d6b154124"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014024-n000004.json b/manifests/batches/oproofs/s00002-r00014024-n000004.json
index 10b715e3f042786c24c8b500fb2c1735d5c7f13a..5281e4b5f758f427a2c81f28d6f31063d29c772f 100644
--- a/manifests/batches/oproofs/s00002-r00014024-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014024-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014024-n000004",
   "batch_fingerprint": "bee13a82b1c159d3f585aa1731b13a418c6e5880dc42e7053644b89d69703121",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014024-n000004-0000-4504b2f1c6a52dcb.parquet",
-      "sha256": "4504b2f1c6a52dcbced5c3ec0f60283b11550c30e3b575ae535b2d3133e86bc0",
-      "bytes": 197379,
-      "rows": 4,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000014/oproofs-s00002-r00014024-n000004-0000-05f8710ea57291db.parquet",
-      "sha256": "05f8710ea57291dba560c3bb396a4c9a8061175a4d4b73f5c89f771bc60cd4df",
-      "bytes": 95887,
-      "rows": 4,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14024",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14025",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014024.lean\",\"c529f0c264ee61a69631419fed91cc51e607c1bf915ff18e58aa62caf54aba16\",0,\"max_sum_product_2310\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014025.lean\",\"7303b122c1206fed4e75e6b2ce5ce97a989412a00d0a2baddb8b42a1f758ea95\",0,\"everyClosedSetIsMeasurable\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014026.lean\",\"6df7f2b94fe4f179e2a094727bf5c8583fc6f84f6457363c2a5026e8970d8522\",0,\"sum_of_infinite_s\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197379,
+      "path": "data/train/p8e/oproofs-s00002-r00014024-n000004-0000-4504b2f1c6a52dcb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "4504b2f1c6a52dcbced5c3ec0f60283b11550c30e3b575ae535b2d3133e86bc0"
+    },
+    {
+      "bytes": 95887,
+      "path": "data/dev/p8e/oproofs-s00002-r00014024-n000004-0000-05f8710ea57291db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "05f8710ea57291dba560c3bb396a4c9a8061175a4d4b73f5c89f771bc60cd4df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014028-n000004.json b/manifests/batches/oproofs/s00002-r00014028-n000004.json
index 040792a59471f1db17b94405b5df09e66f3c4389..c6c8194b5639b4a55a7dbd1d688a5e8f96cddd6c 100644
--- a/manifests/batches/oproofs/s00002-r00014028-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014028-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014028-n000004",
   "batch_fingerprint": "6b446375faa47d27652bc37d45ad0278d727153e102ac60a4dfbea36d6a2570f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014028-n000004-0000-6baca7fdbe22f578.parquet",
-      "sha256": "6baca7fdbe22f578738c865d009a8e02c7f887e63234c388f9799c4a736ef85d",
-      "bytes": 206187,
-      "rows": 8,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014028-n000004-0000-70d0c806c69084b0.parquet",
-      "sha256": "70d0c806c69084b0431d48a5f6b905c37ad4097d0c3d8c77f7572a2e580d593a",
-      "bytes": 96192,
-      "rows": 4,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14028",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14029",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014029.lean\",\"6fb54dadd00bd5cc15231c290d6e10f17063cde5df3ac9480c5db36d2abe8430\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014030.lean\",\"b41f95d7e5aebf8e25e006e6739996b31a601c233d6553c12231e812685e1827\",0,\"q''\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014031.lean\",\"77c088695f09ba6262e9c40abc39a8a52bf80954947d42c263d0819ccae47486\",0,\"FintypeGroup.cardGp\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 206187,
+      "path": "data/train/p01/oproofs-s00002-r00014028-n000004-0000-6baca7fdbe22f578.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6baca7fdbe22f578738c865d009a8e02c7f887e63234c388f9799c4a736ef85d"
+    },
+    {
+      "bytes": 96192,
+      "path": "data/internal_test/p01/oproofs-s00002-r00014028-n000004-0000-70d0c806c69084b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "70d0c806c69084b0431d48a5f6b905c37ad4097d0c3d8c77f7572a2e580d593a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014032-n000004.json b/manifests/batches/oproofs/s00002-r00014032-n000004.json
index acb96903c818113e16a1f19ec7f2e9cb5496a142..e56acaf61899f9632a4ca2558cc6beefe18fa069 100644
--- a/manifests/batches/oproofs/s00002-r00014032-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014032-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014032-n000004",
   "batch_fingerprint": "b9eddb2ce82d5673f7a8b50afad531638a735cfb44a3c4a362ad8c9191bf296d",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14032",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14033",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14034",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14035"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014032.lean\",\"dac85279676a25da67cd29f49fa6872f1761b3f07c9aae19891a27e7f4090ece\",0,\"LatinSquare\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014033.lean\",\"20de3a516887508ce05491e839bbbbdc8847cf07b7e86438e6b8552de7819551\",0,\"hamming\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014034.lean\",\"1e1c294fd21c09a28562c7a22f1827d8bd97d6a2ad3fe8feddc3281b1b0dcf03\",0,\"power_set_infinite\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014035.lean\",\"bc458cb01ed97fe55e3e3df60351b6b1675e0f29b3f49e12bf4a6e58d365a5ea\",0,\"arithprog\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014032-n000004-0000-74bcb589fd8ec877.parquet",
-      "sha256": "74bcb589fd8ec877adb860f445f1e4e75f2b5da3b86b919d9475c2663b5f7c43",
       "bytes": 229451,
+      "path": "data/train/pc4/oproofs-s00002-r00014032-n000004-0000-74bcb589fd8ec877.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "74bcb589fd8ec877adb860f445f1e4e75f2b5da3b86b919d9475c2663b5f7c43"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014032-n000004-0000-34f1ebd61ce6b1f8.parquet",
-      "sha256": "34f1ebd61ce6b1f8132a2e8ab78c0204f74bb4b6782ccd4d2bc6a3bc2b0f9abb",
       "bytes": 58912,
+      "path": "data/dev/pc4/oproofs-s00002-r00014032-n000004-0000-34f1ebd61ce6b1f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "34f1ebd61ce6b1f8132a2e8ab78c0204f74bb4b6782ccd4d2bc6a3bc2b0f9abb"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014032-n000004-0000-0c9685d73704348f.parquet",
-      "sha256": "0c9685d73704348f395cfbcf5e038a5925c52201f8b4725e55ded572fc570d4d",
       "bytes": 119560,
+      "path": "data/internal_test/pc4/oproofs-s00002-r00014032-n000004-0000-0c9685d73704348f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "0c9685d73704348f395cfbcf5e038a5925c52201f8b4725e55ded572fc570d4d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14032",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14033",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14034",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14035"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014032.lean\",\"dac85279676a25da67cd29f49fa6872f1761b3f07c9aae19891a27e7f4090ece\",0,\"LatinSquare\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014033.lean\",\"20de3a516887508ce05491e839bbbbdc8847cf07b7e86438e6b8552de7819551\",0,\"hamming\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014034.lean\",\"1e1c294fd21c09a28562c7a22f1827d8bd97d6a2ad3fe8feddc3281b1b0dcf03\",0,\"power_set_infinite\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014035.lean\",\"bc458cb01ed97fe55e3e3df60351b6b1675e0f29b3f49e12bf4a6e58d365a5ea\",0,\"arithprog\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014036-n000004.json b/manifests/batches/oproofs/s00002-r00014036-n000004.json
index 971045d7ba3dadb5882b1f90a6f220f07bb3455b..54a49050b6a4bee9befa531f8a720682d3f06b04 100644
--- a/manifests/batches/oproofs/s00002-r00014036-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014036-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014036-n000004",
   "batch_fingerprint": "c2af263da48d0091cf8d80e88251c62bea60d6d4e7e7b7a596114f8196241c96",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014036-n000004-0000-10a67dd7cbf530ea.parquet",
-      "sha256": "10a67dd7cbf530ea18fe85ae07091133ab4a8a5b3c5505273837f6692e6c0769",
-      "bytes": 73157,
-      "rows": 9,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14036",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14037",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014037.lean\",\"70ff6c6bb31c2ea8f1cef5dd586ca8cafdffc0dcafa45434347968049f227534\",0,\"closure_ofConnected\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014038.lean\",\"9b50e11e5095d344530527b2c11551b5297fb49ba1bd0ecfc773dab2719a6aa4\",0,\"Qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014039.lean\",\"cacd51588ef47ccec933492e29dd87e715ff207be35b7f2062ef20921ab9659a\",0,\"forany\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 73157,
+      "path": "data/train/pfb/oproofs-s00002-r00014036-n000004-0000-10a67dd7cbf530ea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "10a67dd7cbf530ea18fe85ae07091133ab4a8a5b3c5505273837f6692e6c0769"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014040-n000004.json b/manifests/batches/oproofs/s00002-r00014040-n000004.json
index 3372b15123cccf211313a5dc90b1ecec6836af5a..9d52e1040d3513f84e78d740602ebe23fde17c2a 100644
--- a/manifests/batches/oproofs/s00002-r00014040-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014040-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014040-n000004",
   "batch_fingerprint": "e06e316ffcdf31d692c95e1b7f8f9bdd8bab7b3b5731d94648136330bc8848e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014040-n000004-0000-14ee2c42b87555f7.parquet",
-      "sha256": "14ee2c42b87555f7c1377a872d2a0c4d7cf6087e16a837efc6c3dc5102e549b7",
-      "bytes": 157096,
-      "rows": 14,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14040",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14041",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014041.lean\",\"511b42f6e3c3aa8e5d71b78c8bc025b9efd16cb21526c849bc282900bf5ee21c\",0,\"ContinuousGreatest\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014042.lean\",\"50f6f89bd6f97b020bb648ad2a2726cf207a04d19dd3a1b0a5df13b590515629\",0,\"exist_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014043.lean\",\"43e563f52ac287d3d5709a7d60effb340da6da13095d2f4a14003de27e73b50d\",0,\"Topology.filter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 157096,
+      "path": "data/train/p8e/oproofs-s00002-r00014040-n000004-0000-14ee2c42b87555f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "14ee2c42b87555f7c1377a872d2a0c4d7cf6087e16a837efc6c3dc5102e549b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014044-n000004.json b/manifests/batches/oproofs/s00002-r00014044-n000004.json
index ea0e8204ed70496109a41909a7fbfabea88b238e..e7b830701f118e6c9d9c36905cf72689712ca71a 100644
--- a/manifests/batches/oproofs/s00002-r00014044-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014044-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014044-n000004",
   "batch_fingerprint": "1fff925ae2dda74ca8389e584ba2ba57df7f7f443100928ee7200b8a146bb0df",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014044-n000004-0000-6a5ce0f889ff2172.parquet",
-      "sha256": "6a5ce0f889ff217214c62b7950ad1a8474d66a41b5c567d27aa7dcbc7382fbe4",
-      "bytes": 544153,
-      "rows": 14,
-      "revision": "25f5d0b773b3d33246c273edbb47c811b23696cf"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14044",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14045",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014045.lean\",\"5c284d057a4682b5e8846f0d6b554b3d838d40a0e2804d1e7cf82f5a270a35fe\",0,\"algebraic_452308\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014046.lean\",\"e2a8290a325f7af238e02a6905c7df05d8180cf6c0a5b8a8f7744ee1ef0e47a8\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014047.lean\",\"4ad474c73d05a96388499a272f5bdb86f094a0675a0094d9a80b50bdda72fea8\",0,\"image_of_compact_set\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 544153,
+      "path": "data/train/p3a/oproofs-s00002-r00014044-n000004-0000-6a5ce0f889ff2172.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6a5ce0f889ff217214c62b7950ad1a8474d66a41b5c567d27aa7dcbc7382fbe4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014048-n000004.json b/manifests/batches/oproofs/s00002-r00014048-n000004.json
index 53c85c23fb07eb8f3ead675da9ff643e5f7df5fa..a1b7e7154bc2b810f18416379ae3f6d0d6424e00 100644
--- a/manifests/batches/oproofs/s00002-r00014048-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014048-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014048-n000004",
   "batch_fingerprint": "5ccbf5afb44f959cd555bc398aad552d87a05ab9e663a0fc947d6ba3080032f3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014048-n000004-0000-6a7b8ba014bb0b0c.parquet",
-      "sha256": "6a7b8ba014bb0b0c5ea50b255d2459943b95e2696bebbfb87fbc98e83ae1c2b6",
-      "bytes": 49698,
-      "rows": 4,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014048-n000004-0000-35d37912e3b74590.parquet",
-      "sha256": "35d37912e3b74590cc0862d0aa185dd655ea193a1a70cd4da6e70c774a766f8f",
-      "bytes": 76832,
-      "rows": 5,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14048",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14049",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014049.lean\",\"cd4ab48ea4417079295603c15e548c63a126a6429691d4bf8d683934531f90e6\",0,\"triangularize\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014050.lean\",\"ed96d58dbed4daefad4a561d8609fb62a4955f0aa6811ad2f051d67d905a41e5\",0,\"Set.unenumerable\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014051.lean\",\"d1ad125b7da7691c6d5413201bbb0fd195d4aef4493b7978ee704060e810a3bf\",0,\"fib\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 49698,
+      "path": "data/train/p73/oproofs-s00002-r00014048-n000004-0000-6a7b8ba014bb0b0c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6a7b8ba014bb0b0c5ea50b255d2459943b95e2696bebbfb87fbc98e83ae1c2b6"
+    },
+    {
+      "bytes": 76832,
+      "path": "data/internal_test/p73/oproofs-s00002-r00014048-n000004-0000-35d37912e3b74590.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "35d37912e3b74590cc0862d0aa185dd655ea193a1a70cd4da6e70c774a766f8f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014052-n000004.json b/manifests/batches/oproofs/s00002-r00014052-n000004.json
index 76d0e329d9e803296fbc9660564f90f78060c16d..f5f6d3cbb46e7e84a1a15ce6a95efad291158f7e 100644
--- a/manifests/batches/oproofs/s00002-r00014052-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014052-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014052-n000004",
   "batch_fingerprint": "d35fea6cb8630fce901399373a78d91493892949b8f3112755b5c6a86769e4ce",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14052",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14053",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14054",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14055"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014052.lean\",\"5bcda331fae50c95146102930e419452508457135e031838afc2dbd2741bc55f\",0,\"FintypeGroup.cardGp\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014053.lean\",\"a5406f2e83066ca34491b6cc434cb8aa424f933529dce3a9daa8775758a91084\",0,\"LatinSquare\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014054.lean\",\"df0e69fae2ae93ffa8d25e1c2721d8c7a69c6be9c84db5ba586fa870c456855a\",0,\"norm_letrace\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014055.lean\",\"750340667bffffdce6ce78f320ad8de991f6c275dcced5128f19896002914d83\",0,\"hamming\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014052-n000004-0000-72051fa2c9852d32.parquet",
-      "sha256": "72051fa2c9852d32b70488f39174a096ead967024642b8abd240b6cbb620b4d3",
       "bytes": 69243,
+      "path": "data/train/p8d/oproofs-s00002-r00014052-n000004-0000-72051fa2c9852d32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 9,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "72051fa2c9852d32b70488f39174a096ead967024642b8abd240b6cbb620b4d3"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014052-n000004-0000-eba1f9a4043ff08e.parquet",
-      "sha256": "eba1f9a4043ff08ebbb14c4aa19747203fa2e3a0536ffd13b3996fc9b15f6f88",
       "bytes": 62505,
+      "path": "data/dev/p8d/oproofs-s00002-r00014052-n000004-0000-eba1f9a4043ff08e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "eba1f9a4043ff08ebbb14c4aa19747203fa2e3a0536ffd13b3996fc9b15f6f88"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014052-n000004-0000-59fa7a74d2633874.parquet",
-      "sha256": "59fa7a74d263387487ee348b103e0f2a97c9088e381f905190dbc44a2017e15d",
       "bytes": 92548,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00014052-n000004-0000-59fa7a74d2633874.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
+      "sha256": "59fa7a74d263387487ee348b103e0f2a97c9088e381f905190dbc44a2017e15d"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14052",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14053",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14054",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14055"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014052.lean\",\"5bcda331fae50c95146102930e419452508457135e031838afc2dbd2741bc55f\",0,\"FintypeGroup.cardGp\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014053.lean\",\"a5406f2e83066ca34491b6cc434cb8aa424f933529dce3a9daa8775758a91084\",0,\"LatinSquare\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014054.lean\",\"df0e69fae2ae93ffa8d25e1c2721d8c7a69c6be9c84db5ba586fa870c456855a\",0,\"norm_letrace\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014055.lean\",\"750340667bffffdce6ce78f320ad8de991f6c275dcced5128f19896002914d83\",0,\"hamming\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014056-n000004.json b/manifests/batches/oproofs/s00002-r00014056-n000004.json
index 3b4a33417055c176db63a420e3105885f3a3c044..b3153f0ef99c535f779b0cd03f0bd63e90c93560 100644
--- a/manifests/batches/oproofs/s00002-r00014056-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014056-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014056-n000004",
   "batch_fingerprint": "25a9fbd9adafceb3100721d0fedb438476d4fa3a2d11ca8a5c758d52062170da",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014056-n000004-0000-511ee2247988d2fa.parquet",
-      "sha256": "511ee2247988d2fa25e1777b425b2b0577579d62a56c393802be1f76000e5a9b",
-      "bytes": 285735,
-      "rows": 11,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14056",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14057",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014057.lean\",\"a31bad21770a9bfe3c3bea60380c24164db92f249b6ed6df0abb42e640fe24e7\",0,\"B5\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014058.lean\",\"15cc46adbff214c9bb504853142dcd1b638f8e97d7152d4a41f31f3f3d97c14e\",0,\"SubgroupOfG\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014059.lean\",\"f737eea821438fc932a4246dfc8a21409df4ba8d2da10f08e40f0117a7c04a60\",0,\"arithprog\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285735,
+      "path": "data/train/pd1/oproofs-s00002-r00014056-n000004-0000-511ee2247988d2fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "511ee2247988d2fa25e1777b425b2b0577579d62a56c393802be1f76000e5a9b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014060-n000004.json b/manifests/batches/oproofs/s00002-r00014060-n000004.json
index 998aa4771e15c23c391abc1c61dea1bff6b69ffa..32770d00f4f3d04587c85412bb5bfe984333a141 100644
--- a/manifests/batches/oproofs/s00002-r00014060-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014060-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014060-n000004",
   "batch_fingerprint": "8eca6455cfc2d252edda2f795b2ed09886b424d20c6c29b226aa287ae09151fd",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014060-n000004-0000-e1351a1575322b5e.parquet",
-      "sha256": "e1351a1575322b5ecebeef48998f96d79263c5f8891e2100cf7b90a8be381a1c",
-      "bytes": 93310,
-      "rows": 7,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014060-n000004-0000-958468c4a61cb1a1.parquet",
-      "sha256": "958468c4a61cb1a1427805d9ef9b432b23243ccb35099e36377cc1b5984eff5f",
-      "bytes": 189084,
-      "rows": 9,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14060",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14061",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014061.lean\",\"9eb07598b8b8ca929ef32511b6c722aca2efa8cfec474a6452fdb9ebf8ecddb2\",0,\"Tendsto\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014062.lean\",\"121b8bcfa23ac21693e28ca01cd1353b50240e60f2331350f37018628607354e\",0,\"ContinuousGreatest\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014063.lean\",\"8eb1a447a6d1249e7a57898bd4ed31ac15dbef9a0b135f5a9816556732212c50\",0,\"sum_infinite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 93310,
+      "path": "data/train/p7a/oproofs-s00002-r00014060-n000004-0000-e1351a1575322b5e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "e1351a1575322b5ecebeef48998f96d79263c5f8891e2100cf7b90a8be381a1c"
+    },
+    {
+      "bytes": 189084,
+      "path": "data/internal_test/p7a/oproofs-s00002-r00014060-n000004-0000-958468c4a61cb1a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "958468c4a61cb1a1427805d9ef9b432b23243ccb35099e36377cc1b5984eff5f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014064-n000004.json b/manifests/batches/oproofs/s00002-r00014064-n000004.json
index b5c9cace36d478655a0ecd2bdd6054649c82e2f8..269304a12b07c8a46ef15368f456157f598f8734 100644
--- a/manifests/batches/oproofs/s00002-r00014064-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014064-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014064-n000004",
   "batch_fingerprint": "e9b45416503b0ff4337cfa8c33809c6eb05f7acd70a3393a0bc38ce02b8a0462",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014064-n000004-0000-8691e63c8b843c11.parquet",
-      "sha256": "8691e63c8b843c115680654bb247f7389e3d9a58187f9fb78265d6b8aa1466b4",
-      "bytes": 148490,
-      "rows": 9,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014064-n000004-0000-6fc3464324ae809d.parquet",
-      "sha256": "6fc3464324ae809d1eb6211bbff91e9609ff024a8168cd8c43e552ec41d06ac4",
-      "bytes": 58393,
-      "rows": 4,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14064",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14065",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014065.lean\",\"c9885ef719710eb8c37ca9809a749b8fbe9269e86f8cf624a71b98850a9bceec\",0,\"exist_infinite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014066.lean\",\"fd2ee8c20a3d33965b1346ec15bbb74d8eaefb9a40210fea9c99e4c193e8ddbe\",0,\"TopologyCompactSpace\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014067.lean\",\"44de35880844e40b64cfb59139df9e6346242b22f79425c8fcf847bb3b7c45fb\",0,\"algebraic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 148490,
+      "path": "data/train/pac/oproofs-s00002-r00014064-n000004-0000-8691e63c8b843c11.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "8691e63c8b843c115680654bb247f7389e3d9a58187f9fb78265d6b8aa1466b4"
+    },
+    {
+      "bytes": 58393,
+      "path": "data/dev/pac/oproofs-s00002-r00014064-n000004-0000-6fc3464324ae809d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "6fc3464324ae809d1eb6211bbff91e9609ff024a8168cd8c43e552ec41d06ac4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014068-n000004.json b/manifests/batches/oproofs/s00002-r00014068-n000004.json
index 1839d06e12865b0e38e50447745a4b45bb2cc6a0..81d2e3a4d34b023a18ebad5e82734e961d797867 100644
--- a/manifests/batches/oproofs/s00002-r00014068-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014068-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014068-n000004",
   "batch_fingerprint": "186e9811ece286512c260b6ebe141877bfea9c70123dba3ca6ee05b6bf9ee3a7",
   "evidence": {
@@ -39,22 +38,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014068-n000004-0000-d0c4b353b1e2c291.parquet",
-      "sha256": "d0c4b353b1e2c291721cc4c3584d11468a065062b5fa29a9cce009a64559899a",
-      "bytes": 106320,
-      "rows": 10,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014068-n000004-0000-bc269019b09e304a.parquet",
-      "sha256": "bc269019b09e304afac28bc06db6092a701b1fc2f88a6bb03a78e468e2aa5f41",
-      "bytes": 104803,
-      "rows": 9,
-      "revision": "7737550fa0d28638909d09c57ef9a5b38ebb1ce7"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14068",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14069",
@@ -64,5 +48,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014068.lean\",\"bb59212c28b72b0517fa3b8a0fd3666a4052be882211fdbbb62ec12acef2e935\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014069.lean\",\"7b7d375d3cb912e9038c15a6fb2fe07957104ba4513c3dad3ff3247642c094df\",0,\"triangularize\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014071.lean\",\"aa1a5f37bfc2fe2367f81fff7a53b4c942fff39d6797646651bbc71436193734\",0,\"fib\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 106320,
+      "path": "data/train/pd3/oproofs-s00002-r00014068-n000004-0000-d0c4b353b1e2c291.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "d0c4b353b1e2c291721cc4c3584d11468a065062b5fa29a9cce009a64559899a"
+    },
+    {
+      "bytes": 104803,
+      "path": "data/internal_test/pd3/oproofs-s00002-r00014068-n000004-0000-bc269019b09e304a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bc269019b09e304afac28bc06db6092a701b1fc2f88a6bb03a78e468e2aa5f41"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014072-n000004.json b/manifests/batches/oproofs/s00002-r00014072-n000004.json
index 994bf9590dec0d6c018f646b5f108c94a2a44f8b..454f4eb8ebab7e61c5440c36884b43576ccf4176 100644
--- a/manifests/batches/oproofs/s00002-r00014072-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014072-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014072-n000004",
   "batch_fingerprint": "881be6005c9712036602b5fc32932fc7ff0bc134289f0ceb69537932d16bb1c2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014072-n000004-0000-b74962b9ab1c2167.parquet",
-      "sha256": "b74962b9ab1c2167308f8e361ba09046339b167c61b9702ba846e94c458af96e",
-      "bytes": 62869,
-      "rows": 9,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014072-n000004-0000-b897cabff9568404.parquet",
-      "sha256": "b897cabff9568404f5edd4ea62d473d0dc21ee7aa350ca726bd634cf47ea29d9",
-      "bytes": 62642,
-      "rows": 3,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14072",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14073",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014073.lean\",\"7846c0319929b23e2e39a06c3ac9b8d10ec963391322f789606ac6a8215dd3d1\",0,\"LatinSquare\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014074.lean\",\"5917742c444c91b6296d807ea3f048b902e375355d17841cd2fd374df32b41a3\",0,\"B5\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014075.lean\",\"c84a0e266a5b636eedab5939f6e673eed487553632af1c314a718d0816bc4944\",0,\"PolynomialComplex\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 62869,
+      "path": "data/train/p76/oproofs-s00002-r00014072-n000004-0000-b74962b9ab1c2167.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "b74962b9ab1c2167308f8e361ba09046339b167c61b9702ba846e94c458af96e"
+    },
+    {
+      "bytes": 62642,
+      "path": "data/dev/p76/oproofs-s00002-r00014072-n000004-0000-b897cabff9568404.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "b897cabff9568404f5edd4ea62d473d0dc21ee7aa350ca726bd634cf47ea29d9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014076-n000004.json b/manifests/batches/oproofs/s00002-r00014076-n000004.json
index dbdc2a3ad17495318f4c386f00029271c0c6b300..884fa256085bb805da449d743fb4ea3e7eb92f6d 100644
--- a/manifests/batches/oproofs/s00002-r00014076-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014076-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014076-n000004",
   "batch_fingerprint": "ee9a72fdb0048102fa92a024e5c8e6d826e78d499728d88b4c8fae832f69693f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014076-n000004-0000-a42f7dfd73b387c0.parquet",
-      "sha256": "a42f7dfd73b387c06476a3d5a0d8a18a3a42f83c34e14ddc0761120318152f75",
-      "bytes": 145062,
-      "rows": 10,
-      "revision": "4ce65aacc00d1c2078e24a7dd0f8e1173193c1ed"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14076",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14077",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014077.lean\",\"4596ed3b656eda32a48979d8dd090a40c6f76686028e13fbec5458a07046ddd1\",0,\"arithprog\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014078.lean\",\"6c6da6ac3a0edbfaa670047caf8241618701884d78364642daceb15915ce00ae\",0,\"forany\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014079.lean\",\"dc43d43f23221a8fbc7d61333ad9e975a27836c40eb43999771a1bbbb94b6f3c\",0,\"ContinuousGreatest\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 145062,
+      "path": "data/train/pee/oproofs-s00002-r00014076-n000004-0000-a42f7dfd73b387c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a42f7dfd73b387c06476a3d5a0d8a18a3a42f83c34e14ddc0761120318152f75"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014080-n000004.json b/manifests/batches/oproofs/s00002-r00014080-n000004.json
index eb79519029434e48dacf7aedb2a7ec03f694ec13..d966d4c673be2320cc8bd6c9615080295f7a9fc7 100644
--- a/manifests/batches/oproofs/s00002-r00014080-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014080-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014080-n000004",
   "batch_fingerprint": "3b2308fc97c9ba48a3182439f074df102757259daa0dc689d4063cb52f99ddba",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014080-n000004-0000-fc2cb0408a315f83.parquet",
-      "sha256": "fc2cb0408a315f83d05633f7973534a764b6e944c68a67c0d57fec30315cb8ba",
-      "bytes": 285961,
-      "rows": 14,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14080",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14081",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014081.lean\",\"f482c79439b06ecb47e4fe3e47147e96de76803961f906f0bb91654742cbf6e5\",0,\"algebraic\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014082.lean\",\"0abe5f6eb5c5fec7d8b9de037819bee4a0df74f7b41be32a20a92f5d76bd7efb\",0,\"algebraic_452308\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014083.lean\",\"cb6fd6f62d3160c37aecb4eae5f15752e4bbcb7353baf5c24464c667de8d41d8\",0,\"algebraic\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 285961,
+      "path": "data/train/pca/oproofs-s00002-r00014080-n000004-0000-fc2cb0408a315f83.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "fc2cb0408a315f83d05633f7973534a764b6e944c68a67c0d57fec30315cb8ba"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014084-n000004.json b/manifests/batches/oproofs/s00002-r00014084-n000004.json
index 2b7cffe25b3d49a1d06aa55b76ff51b8a5a78eb4..6890bdaa17706683caa33911d04b4c07b5cffb4d 100644
--- a/manifests/batches/oproofs/s00002-r00014084-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014084-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014084-n000004",
   "batch_fingerprint": "d1ae437ca357ed33397829dbbca8ac90d3baceb9b6ccaa235f3b1cab1492d4eb",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14084",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14085",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14086",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14087"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014084.lean\",\"cd76b30959c0bf5ccbf6f7b5a82c01e759c6dc98424d1c264f7f63abc5286b52\",0,\"triangularize\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014085.lean\",\"d96fb03f2aabad3acdc800534e1883ff45ee3dc035f8d0369fff7fb1a0e44ae2\",0,\"ContinuousSet\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014086.lean\",\"a321d67ce308b14583880b1c6e0aaf048efcc8d4d1fe8a1315a9a647d90a63c3\",0,\"fib\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014087.lean\",\"552df0025c515b98826af985ee868cf8a01c3f20fc1bfc1dec5ac95ac0a2853f\",0,\"LatinSquare\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014084-n000004-0000-406202d8ecffbb87.parquet",
-      "sha256": "406202d8ecffbb87b9e0cb0271222d443ab5a39f23d1ae14773d2e2a37c0c864",
       "bytes": 62950,
+      "path": "data/train/pf2/oproofs-s00002-r00014084-n000004-0000-406202d8ecffbb87.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
+      "sha256": "406202d8ecffbb87b9e0cb0271222d443ab5a39f23d1ae14773d2e2a37c0c864"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014084-n000004-0000-5e3321ee00805e73.parquet",
-      "sha256": "5e3321ee00805e73e5eb9dcf0b979b8369d17d015e3c74d8ec8168d541d58733",
       "bytes": 52186,
+      "path": "data/dev/pf2/oproofs-s00002-r00014084-n000004-0000-5e3321ee00805e73.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
+      "sha256": "5e3321ee00805e73e5eb9dcf0b979b8369d17d015e3c74d8ec8168d541d58733"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014084-n000004-0000-b7833a25c2cf6db6.parquet",
-      "sha256": "b7833a25c2cf6db6977951cb445365ff83b02c146570593f79694b653a092fa7",
       "bytes": 85814,
+      "path": "data/internal_test/pf2/oproofs-s00002-r00014084-n000004-0000-b7833a25c2cf6db6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
+      "sha256": "b7833a25c2cf6db6977951cb445365ff83b02c146570593f79694b653a092fa7"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14084",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14085",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14086",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14087"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014084.lean\",\"cd76b30959c0bf5ccbf6f7b5a82c01e759c6dc98424d1c264f7f63abc5286b52\",0,\"triangularize\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014085.lean\",\"d96fb03f2aabad3acdc800534e1883ff45ee3dc035f8d0369fff7fb1a0e44ae2\",0,\"ContinuousSet\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014086.lean\",\"a321d67ce308b14583880b1c6e0aaf048efcc8d4d1fe8a1315a9a647d90a63c3\",0,\"fib\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014087.lean\",\"552df0025c515b98826af985ee868cf8a01c3f20fc1bfc1dec5ac95ac0a2853f\",0,\"LatinSquare\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014088-n000004.json b/manifests/batches/oproofs/s00002-r00014088-n000004.json
index d7dfa6d5565db2b252ec9a3882b34c21e0840493..5b829c096d34605404ed214d0265b88457b699e6 100644
--- a/manifests/batches/oproofs/s00002-r00014088-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014088-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014088-n000004",
   "batch_fingerprint": "2e985af250fce8afbf344010d7b49aabf754f7c7b095b655f32c6a1c5aaa73d1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014088-n000004-0000-0321b28a7d6efcb0.parquet",
-      "sha256": "0321b28a7d6efcb0c7f56469d2007dfc7b482cc1b7ddc404014fb9efbaff2248",
-      "bytes": 105723,
-      "rows": 13,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14088",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14089",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014089.lean\",\"72b457633e4b964a156da71a6aeff835fc44a78dd0eaa65096551b7c2d9aedd6\",0,\"norm_letrace\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014090.lean\",\"d9cc28d318fd74badfde0f3756ac65445cb78c26102f97b795b9dfa074c7fe5e\",0,\"algebra\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014091.lean\",\"efe13634d5391fba7eeef9cc922a68c330e2a70b6c5927b77a7555e07930474f\",0,\"B5\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 105723,
+      "path": "data/train/p84/oproofs-s00002-r00014088-n000004-0000-0321b28a7d6efcb0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0321b28a7d6efcb0c7f56469d2007dfc7b482cc1b7ddc404014fb9efbaff2248"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014092-n000004.json b/manifests/batches/oproofs/s00002-r00014092-n000004.json
index 974cd2a36bbab8a7f816e21c21cd59aab1c5a9a1..4c875e7a0c4fe40d540672690e3b14be60d61d2a 100644
--- a/manifests/batches/oproofs/s00002-r00014092-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014092-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014092-n000004",
   "batch_fingerprint": "3af454a2a07d900feb494b3f7fffd01e1b683133faadba11ea9e00340dfa4934",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014092-n000004-0000-6fb45cc28943ede0.parquet",
-      "sha256": "6fb45cc28943ede072568b31a9381957f496aea2fd285ad5075029a58b2447a2",
-      "bytes": 52728,
-      "rows": 8,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014092-n000004-0000-f12d103592afe323.parquet",
-      "sha256": "f12d103592afe323d88405548e35d2473ce89b522bafa876ef9f6960892221c8",
-      "bytes": 191651,
-      "rows": 3,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14092",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14093",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014093.lean\",\"01d9ab4f5045969d788180598a5fdc87ad6a4363351232b7f5922181f8d23f16\",0,\"SubgroupOfG\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014094.lean\",\"1e1e3380a836f0b260c05f58ca82c59c45626d4d1ec3c3217641137b8d68e914\",0,\"closure_ofConnected\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014095.lean\",\"211e12c8705bf2cb6365241cb1a47ff8104253e29825a35fd22a43ee465a369f\",0,\"hamming\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 52728,
+      "path": "data/train/pf6/oproofs-s00002-r00014092-n000004-0000-6fb45cc28943ede0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "6fb45cc28943ede072568b31a9381957f496aea2fd285ad5075029a58b2447a2"
+    },
+    {
+      "bytes": 191651,
+      "path": "data/internal_test/pf6/oproofs-s00002-r00014092-n000004-0000-f12d103592afe323.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f12d103592afe323d88405548e35d2473ce89b522bafa876ef9f6960892221c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014096-n000004.json b/manifests/batches/oproofs/s00002-r00014096-n000004.json
index 4509b03f3315e8e3119dad081bdce88aa1bcb735..aa62b915200b0edae7f2baacaf8a94a1c0a911e8 100644
--- a/manifests/batches/oproofs/s00002-r00014096-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014096-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014096-n000004",
   "batch_fingerprint": "757b9933145819ac69120a2b2af7b6fa756594344c608d1562922f0d81dd7c40",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014096-n000004-0000-31fa53fb437aa4fb.parquet",
-      "sha256": "31fa53fb437aa4fb98be7212631040c728d73c6aacbcb974b358977d71f32467",
-      "bytes": 276430,
-      "rows": 13,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014096-n000004-0000-b007dc027be837eb.parquet",
-      "sha256": "b007dc027be837ebfe4d87f961d1385fb2a515e7ce4c4bdd0ea256486889d746",
-      "bytes": 58285,
-      "rows": 4,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14096",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14097",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014097.lean\",\"eff762cc4c3156881191358a1a7685d1bcf8fcfcd7d182ec7aa6350bd087709b\",0,\"forany\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014098.lean\",\"573b3131fc1562088139d7fab4c63247b669f71d81dce7fc8bd355d9c7cc88f9\",0,\"arithprog\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014099.lean\",\"0960270a66834a191f8fc894066612d49e13b24aa90fc52726e185647bef627b\",0,\"Infinite_primes_41\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 276430,
+      "path": "data/train/p80/oproofs-s00002-r00014096-n000004-0000-31fa53fb437aa4fb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "31fa53fb437aa4fb98be7212631040c728d73c6aacbcb974b358977d71f32467"
+    },
+    {
+      "bytes": 58285,
+      "path": "data/dev/p80/oproofs-s00002-r00014096-n000004-0000-b007dc027be837eb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "b007dc027be837ebfe4d87f961d1385fb2a515e7ce4c4bdd0ea256486889d746"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014100-n000004.json b/manifests/batches/oproofs/s00002-r00014100-n000004.json
index 529a60cc5782c2545039242c3c8e32dab48af6eb..1b6dc0a631c7499c4df5230c751647975e0e5d2b 100644
--- a/manifests/batches/oproofs/s00002-r00014100-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014100-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014100-n000004",
   "batch_fingerprint": "46c06056210630e0985b77601bebd17dd5024eea42f7939b54da2b33222378ba",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014100-n000004-0000-4199854bf4f975a2.parquet",
-      "sha256": "4199854bf4f975a27f410f85c8b3954fb9c4af102a05d863455ebb522074a067",
-      "bytes": 55173,
-      "rows": 7,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014100-n000004-0000-a27d7771ab2a7c9b.parquet",
-      "sha256": "a27d7771ab2a7c9b5ec205240d0d1a68635abb98e350201657cde07c42baef3e",
-      "bytes": 92843,
-      "rows": 6,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14100",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14101",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014101.lean\",\"b1119fc66ef258977e7356f79e0904479bec60fdd480438696ac17a054b66678\",0,\"T1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014102.lean\",\"1701535dbe88c9455b87a6076083edf9cb2cc417512a1bf8ebe2b5414e154ab6\",0,\"ContinuousGreatest\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014103.lean\",\"01b8731cd7429fb307bc0655c3ac24276ffc25124296900a1c359f6f8abd463e\",0,\"Topology.filter\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 55173,
+      "path": "data/train/pec/oproofs-s00002-r00014100-n000004-0000-4199854bf4f975a2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "4199854bf4f975a27f410f85c8b3954fb9c4af102a05d863455ebb522074a067"
+    },
+    {
+      "bytes": 92843,
+      "path": "data/internal_test/pec/oproofs-s00002-r00014100-n000004-0000-a27d7771ab2a7c9b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a27d7771ab2a7c9b5ec205240d0d1a68635abb98e350201657cde07c42baef3e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014104-n000004.json b/manifests/batches/oproofs/s00002-r00014104-n000004.json
index c3c6b3a419576ae56bcdfeb59ac3f0c35aaaab55..e7d6709dbe195e6927f96f577c7fcec0e8eba4a2 100644
--- a/manifests/batches/oproofs/s00002-r00014104-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014104-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014104-n000004",
   "batch_fingerprint": "790a90ae7a735b0ce968b0ce07d41e2800ae825c55989506f51414f3079ca4c9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014104-n000004-0000-7b8eaab8140e3741.parquet",
-      "sha256": "7b8eaab8140e3741d1441a606ceee8589410f7f50a3a21b138410ab0df452a23",
-      "bytes": 1360490,
-      "rows": 24,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14104",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14105",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014105.lean\",\"db5417934015cf378651db357c43fb1e7c94844aa472f95320e9e9a2b5cb91e8\",0,\"algebraic_452308\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014106.lean\",\"8859322c39265f20494d6fc319aff9e344ffc225e8000d9230775092ae2c450d\",0,\"lean_workbook_plus_48909\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014107.lean\",\"5cc2d4b36db76f1ccef0a06ee86b8e07c0456d6aaf4cd58e29c9226c3971bed3\",0,\"lean_workbook_plus_44956\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1360490,
+      "path": "data/train/ped/oproofs-s00002-r00014104-n000004-0000-7b8eaab8140e3741.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "7b8eaab8140e3741d1441a606ceee8589410f7f50a3a21b138410ab0df452a23"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014108-n000004.json b/manifests/batches/oproofs/s00002-r00014108-n000004.json
index 02e282cfdd4c03c7cbb4227c0b4c19f060d3a57a..e3cf1e064a0c4043fdfba1ae74bd902c4906be39 100644
--- a/manifests/batches/oproofs/s00002-r00014108-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014108-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014108-n000004",
   "batch_fingerprint": "68bc3bf1e886f127eced4115c0b2e9f9643f87beb784fc06ac570d7b14045188",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014108-n000004-0000-d27f4cb1ed767d75.parquet",
-      "sha256": "d27f4cb1ed767d751b947922fe2094b2eb53c548fa0d3edd8ef38871414235f0",
-      "bytes": 272233,
-      "rows": 24,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14108",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14109",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014109.lean\",\"28e73b91b43ac75d16cda7b91064b0a71be2cf490a00e5a69160e6b149a11ab1\",0,\"lean_workbook_plus_42475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014110.lean\",\"ab6108647f41a32d3cc449945066b1268ab158bf78c64dac0207c2aadb951501\",0,\"lean_workbook_plus_67652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014111.lean\",\"6b7b19fa140e7accbd9b26fc464aa540e0177cde3259b7a646acc5f9d669b002\",0,\"inequalities\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 272233,
+      "path": "data/train/p4b/oproofs-s00002-r00014108-n000004-0000-d27f4cb1ed767d75.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "d27f4cb1ed767d751b947922fe2094b2eb53c548fa0d3edd8ef38871414235f0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014112-n000004.json b/manifests/batches/oproofs/s00002-r00014112-n000004.json
index 7cc539cb78c9bdf1bc620c0afe47f4f9ae0fb32f..6c474b13df5f24cbcdb7e1a19a6fed15e9e739d1 100644
--- a/manifests/batches/oproofs/s00002-r00014112-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014112-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014112-n000004",
   "batch_fingerprint": "00ed9346179d6f3d5545fa79fbe5e691483f21609ba9bd7d39723b4fe34725b3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014112-n000004-0000-f051a290fefe2c54.parquet",
-      "sha256": "f051a290fefe2c54bbf160d1e52c201b93cf80a37caea8fe2cccc37a0afff5fe",
-      "bytes": 484860,
-      "rows": 12,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014112-n000004-0000-cffe69e9c7b7d473.parquet",
-      "sha256": "cffe69e9c7b7d4733783972766de698e3c9f66762cace1f15f51d5be6224950a",
-      "bytes": 179005,
-      "rows": 6,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14112",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14113",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014113.lean\",\"98c924ee20f1ec8b3e34d9f8a14753a1d9ed8204752350cc43f2512b48ee37a3\",0,\"max_min\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014114.lean\",\"b413f5fea2d01bf15d3b7f63d50a2b61f7a1e2b119f03db3cc4f7232fde2462c\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014115.lean\",\"48b4685b075f30aeb4cf2a9c541e98b3781911f17467662ea10cc9dc0fa5a4da\",0,\"Qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 484860,
+      "path": "data/train/p96/oproofs-s00002-r00014112-n000004-0000-f051a290fefe2c54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "f051a290fefe2c54bbf160d1e52c201b93cf80a37caea8fe2cccc37a0afff5fe"
+    },
+    {
+      "bytes": 179005,
+      "path": "data/dev/p96/oproofs-s00002-r00014112-n000004-0000-cffe69e9c7b7d473.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "cffe69e9c7b7d4733783972766de698e3c9f66762cace1f15f51d5be6224950a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014116-n000004.json b/manifests/batches/oproofs/s00002-r00014116-n000004.json
index 53cd0037f3868c33f56ac2921711a5849cd1cb53..51ed8ffe0c85f138c95c7e687ac7bdb88587b8db 100644
--- a/manifests/batches/oproofs/s00002-r00014116-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014116-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014116-n000004",
   "batch_fingerprint": "971f6dd4d4c17589c5353f6ee600aaa37c4c2e66ee68c10dc28efebec6092c20",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014116-n000004-0000-206a6fd199e99da4.parquet",
-      "sha256": "206a6fd199e99da4c6e475490416472e335133893fae06e079e64f8faea333be",
-      "bytes": 662585,
-      "rows": 14,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014116-n000004-0001-3ef5ce51a11b549f.parquet",
-      "sha256": "3ef5ce51a11b549f25e6e0e8a2698e2d0f8376fa3f920c23d969c3d037a2154d",
-      "bytes": 388200,
-      "rows": 2,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14116",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14117",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014117.lean\",\"48406c697cc1fbb412230bc4e47a59168e409b9e5f70a799c81d9549a614f582\",0,\"Q\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014118.lean\",\"007a19ada300765b29349eb5ba1e04e74f5d3d9c7e4cfef789b8c00b3220e3ae\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014119.lean\",\"84c03bbd7a1526634f00c54e0b21b56e20ae2aa224f1d001c8e4671a9fd3808b\",0,\"gcd2\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 662585,
+      "path": "data/train/pf1/oproofs-s00002-r00014116-n000004-0000-206a6fd199e99da4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "206a6fd199e99da4c6e475490416472e335133893fae06e079e64f8faea333be"
+    },
+    {
+      "bytes": 388200,
+      "path": "data/train/pf1/oproofs-s00002-r00014116-n000004-0001-3ef5ce51a11b549f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "3ef5ce51a11b549f25e6e0e8a2698e2d0f8376fa3f920c23d969c3d037a2154d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014120-n000004.json b/manifests/batches/oproofs/s00002-r00014120-n000004.json
index 50cd505832a11a84ebb324989aa19e38466d0022..42421e82e433c78c7ad7e7d3a3d37760927912b2 100644
--- a/manifests/batches/oproofs/s00002-r00014120-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014120-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014120-n000004",
   "batch_fingerprint": "c74bd2ce8d225b7177e4374f35825e63590270a5100239de997395e685625b9a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14120",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14121",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14122",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14123"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014120.lean\",\"4a3d261f0a10a2a26952263732bafe9ad2446436238bbad3e993c3e6d15bfc40\",0,\"algebra_486712\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014121.lean\",\"90d49bba3bbb2ffed1bb3b64b737cbb249d21c0ea42e92d4ce30d2780284988d\",0,\"algebra1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014122.lean\",\"584b5debe5f539318eb8fd96f33d98234be291ecd3d88647b4cdd9cc04dd37bf\",0,\"min_of_three\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014123.lean\",\"0751947625ac327176d7b60558630738958a2cf506d5c6ad8f0894063620e7ca\",0,\"cos_sum\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014120-n000004-0000-d170491453aa56fd.parquet",
-      "sha256": "d170491453aa56fd44266d56ff8ca5baa83e7785289679e81041253f99cbc10e",
       "bytes": 1355489,
+      "path": "data/train/p9e/oproofs-s00002-r00014120-n000004-0000-d170491453aa56fd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "d170491453aa56fd44266d56ff8ca5baa83e7785289679e81041253f99cbc10e"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014120-n000004-0001-17de43d2053994da.parquet",
-      "sha256": "17de43d2053994da9217eeb227f07d1cea667422acd8e023bdd3448e4112dc69",
       "bytes": 608174,
+      "path": "data/train/p9e/oproofs-s00002-r00014120-n000004-0001-17de43d2053994da.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "17de43d2053994da9217eeb227f07d1cea667422acd8e023bdd3448e4112dc69"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014120-n000004-0000-96042bffb656215d.parquet",
-      "sha256": "96042bffb656215ddfc07d409462934a7b96769be3bb025404551438f937f315",
       "bytes": 188182,
+      "path": "data/dev/p9e/oproofs-s00002-r00014120-n000004-0000-96042bffb656215d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "96042bffb656215ddfc07d409462934a7b96769be3bb025404551438f937f315"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14120",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14121",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14122",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14123"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014120.lean\",\"4a3d261f0a10a2a26952263732bafe9ad2446436238bbad3e993c3e6d15bfc40\",0,\"algebra_486712\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014121.lean\",\"90d49bba3bbb2ffed1bb3b64b737cbb249d21c0ea42e92d4ce30d2780284988d\",0,\"algebra1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014122.lean\",\"584b5debe5f539318eb8fd96f33d98234be291ecd3d88647b4cdd9cc04dd37bf\",0,\"min_of_three\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014123.lean\",\"0751947625ac327176d7b60558630738958a2cf506d5c6ad8f0894063620e7ca\",0,\"cos_sum\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014124-n000004.json b/manifests/batches/oproofs/s00002-r00014124-n000004.json
index a2e1afba920a01499b752f0c016ec6cb5ed07c1d..394543347ffd679d4b31cef9b444400be236fcce 100644
--- a/manifests/batches/oproofs/s00002-r00014124-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014124-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014124-n000004",
   "batch_fingerprint": "4781d11fe1043e28e7b471db966edcbcb357a63bdb16397fab9832c93c267767",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014124-n000004-0000-ed55d89caf041b0f.parquet",
-      "sha256": "ed55d89caf041b0fe28e1fa4b8e2d14aeaba7f768a964c8220e41178f3f2f137",
-      "bytes": 365540,
-      "rows": 18,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014124-n000004-0000-299cc87eceff3c8e.parquet",
-      "sha256": "299cc87eceff3c8e4e719c00f6ed828fd37aa62a2334c333881c62092265cb69",
-      "bytes": 581546,
-      "rows": 11,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14124",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14125",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014125.lean\",\"27d7c9581863cd75986fa83297b5d796bd4964ae25b033ad16662e15b2b41bf0\",0,\"algebra_495679\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014126.lean\",\"400e6c085dfa56ccbadc7fc1a8b8b109c466e322a9e07b2a8e04b18610589d27\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014127.lean\",\"142e32efc0fcd92a5f4e2bc00259dc9f4715cbe72168fb966c30d0e9a65dc3bf\",0,\"sumOfDigits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 365540,
+      "path": "data/train/pc4/oproofs-s00002-r00014124-n000004-0000-ed55d89caf041b0f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "ed55d89caf041b0fe28e1fa4b8e2d14aeaba7f768a964c8220e41178f3f2f137"
+    },
+    {
+      "bytes": 581546,
+      "path": "data/dev/pc4/oproofs-s00002-r00014124-n000004-0000-299cc87eceff3c8e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "299cc87eceff3c8e4e719c00f6ed828fd37aa62a2334c333881c62092265cb69"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014128-n000004.json b/manifests/batches/oproofs/s00002-r00014128-n000004.json
index ca80e0c3d86a4467e17ae9023b8903cc63822462..604880bffae2c153598f08ad0dab716d29f9c6cd 100644
--- a/manifests/batches/oproofs/s00002-r00014128-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014128-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014128-n000004",
   "batch_fingerprint": "00767bddf378ae7fda406f4bae46ec14f832899e120f846c4cb17ae1dfadad89",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014128-n000004-0000-033e37a188742ada.parquet",
-      "sha256": "033e37a188742ada011c5a7314d13dcc6bfc3796eabddeddc5419ba302f9e0b4",
-      "bytes": 646871,
-      "rows": 8,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014128-n000004-0000-2bec99bd43b272f8.parquet",
-      "sha256": "2bec99bd43b272f82bbacef7088f0eeae8786f7bfb5e49cc057bb619148dc7e0",
-      "bytes": 222057,
-      "rows": 11,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14128",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14129",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014129.lean\",\"59d5070229b0a03762492d2add49f0c1b0f95a2b38d11172c501839eabcc7e86\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014130.lean\",\"67376edf336f62e2fd655c475d7fcaa4e062cf6faf8a2d7fbafbe1a69f0849c6\",0,\"Real.sqrt_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014131.lean\",\"b236f08dfcc5b8d8925467814ac7f614a56c210dec168c50539ccfd2591e6636\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 646871,
+      "path": "data/train/pcc/oproofs-s00002-r00014128-n000004-0000-033e37a188742ada.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "033e37a188742ada011c5a7314d13dcc6bfc3796eabddeddc5419ba302f9e0b4"
+    },
+    {
+      "bytes": 222057,
+      "path": "data/internal_test/pcc/oproofs-s00002-r00014128-n000004-0000-2bec99bd43b272f8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "2bec99bd43b272f82bbacef7088f0eeae8786f7bfb5e49cc057bb619148dc7e0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014132-n000004.json b/manifests/batches/oproofs/s00002-r00014132-n000004.json
index e3aabb4ab7e815cee79e6c0c88c41eabf6493cd0..34a1f6746dbc45f72a1c12be1cc3472b7e799968 100644
--- a/manifests/batches/oproofs/s00002-r00014132-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014132-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014132-n000004",
   "batch_fingerprint": "0fdfedf97636209512acc6d588586c16fd84b1b2f1a51e8378af13bd0adb4b1d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014132-n000004-0000-ce44230fd256d793.parquet",
-      "sha256": "ce44230fd256d7936799a9488328e01ac133e0f0bcf40c25c1f1756f5b22da0a",
-      "bytes": 110684,
-      "rows": 7,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014132-n000004-0000-96a5b6a711a087e9.parquet",
-      "sha256": "96a5b6a711a087e94607f7071e424a4494da773b1f6c928b508bb2eca634c534",
-      "bytes": 35240,
-      "rows": 2,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14132",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14133",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014133.lean\",\"6d7665791ff24d9c3113adb7614f82fb1cb557bbb60907e28a0b51762e07a056\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014134.lean\",\"6ec68f7344e09e60b360adbca967e343601779f334133583101139056d52f068\",0,\"MatrixSignSum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014135.lean\",\"7b775c08b272da5f9d0c773f250a39ca09305a50e17194f1b658d0292ee179c9\",0,\"Real.mod_lt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 110684,
+      "path": "data/train/p95/oproofs-s00002-r00014132-n000004-0000-ce44230fd256d793.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "ce44230fd256d7936799a9488328e01ac133e0f0bcf40c25c1f1756f5b22da0a"
+    },
+    {
+      "bytes": 35240,
+      "path": "data/dev/p95/oproofs-s00002-r00014132-n000004-0000-96a5b6a711a087e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "96a5b6a711a087e94607f7071e424a4494da773b1f6c928b508bb2eca634c534"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014136-n000004.json b/manifests/batches/oproofs/s00002-r00014136-n000004.json
index 691b6e259f1f0aed28191bd7437708cf0d883876..c14bf87d8f5a457a894cb7a23d5beea3418734e7 100644
--- a/manifests/batches/oproofs/s00002-r00014136-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014136-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014136-n000004",
   "batch_fingerprint": "74ab47547d0a6675e6ff25c5814225821296d7134a92b1cf69a964531be2395f",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014136-n000004-0000-e7476d22255080e9.parquet",
-      "sha256": "e7476d22255080e9890054e6b0a23c2d20044bb0e9611a7259ac4c3f7d3740ff",
-      "bytes": 829350,
-      "rows": 19,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014136-n000004-0000-11b2eb0fc2a3a688.parquet",
-      "sha256": "11b2eb0fc2a3a688804a7ad3177469a945b58012c7a9c9ed719937bf36acb4c1",
-      "bytes": 255687,
-      "rows": 8,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14136",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14137",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014137.lean\",\"8fb104b6f74f7905d0c1726dc34138865ae8f9de686a6c3a5157b3247d3e4e42\",0,\"algebra_458916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014138.lean\",\"8f00578712c91ccecf6736bafc5764c41ae1519009c2ebb625a4e9effc76a573\",0,\"number_theory_8243\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014139.lean\",\"628bcfcb4f79aa41f59990198e0aeb7de1f49087a3a58769075eb6966f6286c8\",0,\"RealSet\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 829350,
+      "path": "data/train/pa6/oproofs-s00002-r00014136-n000004-0000-e7476d22255080e9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "e7476d22255080e9890054e6b0a23c2d20044bb0e9611a7259ac4c3f7d3740ff"
+    },
+    {
+      "bytes": 255687,
+      "path": "data/internal_test/pa6/oproofs-s00002-r00014136-n000004-0000-11b2eb0fc2a3a688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "11b2eb0fc2a3a688804a7ad3177469a945b58012c7a9c9ed719937bf36acb4c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014140-n000004.json b/manifests/batches/oproofs/s00002-r00014140-n000004.json
index b17ee09c452c9f0ca1e318b8d3961bfa1590a514..aa44acb0537d29e0e15fdc568142c043260caffb 100644
--- a/manifests/batches/oproofs/s00002-r00014140-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014140-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014140-n000004",
   "batch_fingerprint": "a9c00717ad120ff173a4982511cbcf06bbe545d875a9d688c5fd001a6af182eb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014140-n000004-0000-874e27af40707488.parquet",
-      "sha256": "874e27af407074889c8d5bda2cfb828ba7398b19783c3e05d6294980e8d09f0b",
-      "bytes": 314145,
-      "rows": 21,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14140",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14141",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014141.lean\",\"20ea074922e63a6c7070d2aca99a34889d53892790b9beca4736ab47d7338211\",0,\"algebra_371695\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014142.lean\",\"df3f069034d0b02f0876c1e26b94da0ca9a64fe32aef4e7fc628f17119348724\",0,\"algebra_486098\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014143.lean\",\"1e793c2dd21ba85595791557215db90b19e1060fbaa08adf66d1d9b420ec894f\",0,\"algebra_465059\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 314145,
+      "path": "data/train/p20/oproofs-s00002-r00014140-n000004-0000-874e27af40707488.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "874e27af407074889c8d5bda2cfb828ba7398b19783c3e05d6294980e8d09f0b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014144-n000004.json b/manifests/batches/oproofs/s00002-r00014144-n000004.json
index 23bfb7d33e6dbe8af989275a1e7b73aadbfb9ee3..843e5ba4f5751b3492b9b92fd6aff05920a53201 100644
--- a/manifests/batches/oproofs/s00002-r00014144-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014144-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014144-n000004",
   "batch_fingerprint": "6c70f77618d490f12668740c5b8bd25c58e5a8a3aaf251b71880af37476e8f38",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014144-n000004-0000-94d54a718888831d.parquet",
-      "sha256": "94d54a718888831d60054547c0374d1704c0ed0b4ec43fae372ae2c53f9f85b6",
-      "bytes": 709372,
-      "rows": 12,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014144-n000004-0000-5f9f127c2066cb8d.parquet",
-      "sha256": "5f9f127c2066cb8dc3f08564b84117dfe1217f694d48cd1086ef80f0b07fc20b",
-      "bytes": 250634,
-      "rows": 6,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14144",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14145",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014145.lean\",\"5907b63902d9230bfda821db8c9f06983478e2940afaf00ade79248fb33277d9\",0,\"Real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014146.lean\",\"54b2b921a5ae13cd9ba469939af09da05d083d94e9764e166a702895e2d5ebb2\",0,\"algebra_451799\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014147.lean\",\"ae578c6250ad6057b6bd576a3fea740b80230738c40c5839366016733a659863\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 709372,
+      "path": "data/train/pa0/oproofs-s00002-r00014144-n000004-0000-94d54a718888831d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "94d54a718888831d60054547c0374d1704c0ed0b4ec43fae372ae2c53f9f85b6"
+    },
+    {
+      "bytes": 250634,
+      "path": "data/dev/pa0/oproofs-s00002-r00014144-n000004-0000-5f9f127c2066cb8d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5f9f127c2066cb8dc3f08564b84117dfe1217f694d48cd1086ef80f0b07fc20b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014148-n000004.json b/manifests/batches/oproofs/s00002-r00014148-n000004.json
index ffacc65730dff7464b50c9b873e440ea1fdf23c1..b5c8aae1170688690d64e70c392c67249c64505b 100644
--- a/manifests/batches/oproofs/s00002-r00014148-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014148-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014148-n000004",
   "batch_fingerprint": "372690eafef43c7c94ba33649669161c3eb2255d64144339aa1a235cae8473d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014148-n000004-0000-b68dac7038819a9f.parquet",
-      "sha256": "b68dac7038819a9f2aebc109914be8230244e5329c812082bb6cbe337a0d83a5",
-      "bytes": 734252,
-      "rows": 21,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14148",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14149",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014149.lean\",\"3b70c6073d7a846f1be6ce4f492d6960611271268610d679ebde447b2a76e74a\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014150.lean\",\"f54af8a3b5793433633086ecf038dc6de1ba6354b0971816155e2871a6564672\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014151.lean\",\"e9328bb96f2cc1235308131662e69f9b650f7bce3b4b13ac552cf05d9d911184\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 734252,
+      "path": "data/train/pab/oproofs-s00002-r00014148-n000004-0000-b68dac7038819a9f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "b68dac7038819a9f2aebc109914be8230244e5329c812082bb6cbe337a0d83a5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014152-n000004.json b/manifests/batches/oproofs/s00002-r00014152-n000004.json
index 8c1e3edead0707d4999359f4cf00977bc76c86cd..753d7d2ac88709fbf62ccf3acf7f9d7795407b02 100644
--- a/manifests/batches/oproofs/s00002-r00014152-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014152-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014152-n000004",
   "batch_fingerprint": "13ba3d44de49117228aaf787c86f91ef4f85da0c23afe3941f1c1ea58e61ef6f",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014152-n000004-0000-9e63d21581f35699.parquet",
-      "sha256": "9e63d21581f35699d4969f748c2e42a18f3c969989ae846a1a2b36004307a10b",
-      "bytes": 523612,
-      "rows": 16,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14152",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14153",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014153.lean\",\"2260310cbb96c184003d4c222abbe5664f615bbdce3015a521ef0c36184c8c0e\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014154.lean\",\"fba633d0bdd9935bf5d2b622bb8057b8aa7bafc5d915cbf1c63a331b37e5182b\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014155.lean\",\"0788e2fccef8b650a9c1760947ccbfc76acef19bc08f837627e42c989847b82d\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 523612,
+      "path": "data/train/p89/oproofs-s00002-r00014152-n000004-0000-9e63d21581f35699.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "9e63d21581f35699d4969f748c2e42a18f3c969989ae846a1a2b36004307a10b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014156-n000004.json b/manifests/batches/oproofs/s00002-r00014156-n000004.json
index 374812e21954f3dedf2e5bec0dae6eb4f4ad9d2a..ee7b654e84b9e4c5c2bc10d753186a8b8faa67e3 100644
--- a/manifests/batches/oproofs/s00002-r00014156-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014156-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014156-n000004",
   "batch_fingerprint": "570166882a02eb6ab4445a475a3255848e36467cc24eb7c828adce9ec9a00032",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014156-n000004-0000-7a410ae821f13b53.parquet",
-      "sha256": "7a410ae821f13b5346ce0a9e804b36d6b4d459dd5f44d880a259f695d1dacd0c",
-      "bytes": 922833,
-      "rows": 19,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014156-n000004-0000-63afbc454d6a161d.parquet",
-      "sha256": "63afbc454d6a161db1744d34be6d8d92deab6a97b2e34f71fe946b017ebbd622",
-      "bytes": 257168,
-      "rows": 11,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14156",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14157",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014157.lean\",\"914229083a5c2ed87f9a654cee8a58d76f083415feb2aee2844e474c3c976f6c\",0,\"algebra_330519\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014158.lean\",\"e98d36e79cefeb49c4bc06afca720fb8786bc8e79c94217612c1055a987f0da7\",0,\"RealF\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014159.lean\",\"db2004bea6a3a4920513263084b5afb213f90c54295c12c5c3c98e88fb89d182\",0,\"qwen\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 922833,
+      "path": "data/train/p71/oproofs-s00002-r00014156-n000004-0000-7a410ae821f13b53.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "7a410ae821f13b5346ce0a9e804b36d6b4d459dd5f44d880a259f695d1dacd0c"
+    },
+    {
+      "bytes": 257168,
+      "path": "data/dev/p71/oproofs-s00002-r00014156-n000004-0000-63afbc454d6a161d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "63afbc454d6a161db1744d34be6d8d92deab6a97b2e34f71fe946b017ebbd622"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014160-n000004.json b/manifests/batches/oproofs/s00002-r00014160-n000004.json
index 2849776ef9595731d44607787d6580ccff2668d8..044782e00cbf8a204572231ebb137b18eaf27545 100644
--- a/manifests/batches/oproofs/s00002-r00014160-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014160-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014160-n000004",
   "batch_fingerprint": "6ed9812484462df85b8f7405fb5f5afdff8c3f7714f1343e0aec607137eb17a9",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014160-n000004-0000-be0ab25b0de8d1e2.parquet",
-      "sha256": "be0ab25b0de8d1e2cb227e2fdbb1bcd8f5c62da8ddb6fe4f1af64bf9e9f9f413",
-      "bytes": 779760,
-      "rows": 11,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14160",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14161",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014161.lean\",\"92ca74964ba6783f8479dab99900dc351ee6f9e5f9ef7c015ffe3a31238f804c\",0,\"algebra_374100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014162.lean\",\"f0df8d1819833870362740ad6778a3c25f0c7001fcacfee11ffab2e432909171\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014163.lean\",\"80997926159c5e3eaa274d96bc80c28717f4941e5599a4429e89ec9ff789cec5\",0,\"max\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 779760,
+      "path": "data/train/pbf/oproofs-s00002-r00014160-n000004-0000-be0ab25b0de8d1e2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "be0ab25b0de8d1e2cb227e2fdbb1bcd8f5c62da8ddb6fe4f1af64bf9e9f9f413"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014164-n000004.json b/manifests/batches/oproofs/s00002-r00014164-n000004.json
index d049d3e660143ce4dbad2a16a0fd715c33a7d5f4..3a674fef70428f208f58d13c9a1dfc4c1c194486 100644
--- a/manifests/batches/oproofs/s00002-r00014164-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014164-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014164-n000004",
   "batch_fingerprint": "9f5283716dd1accc43b01e036d323c0b5d189daeed2a6a45fb39b792954927b5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14164",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14165",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14166",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14167"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014164.lean\",\"aa528582d22578103aeb926a6c0ce8b5d9ec43ad1f90733fc7ba77ac83bfe423\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014165.lean\",\"fa6a5421433087d1c754873d7523c2a4787ee0134e99798fe635298cabc86471\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014166.lean\",\"f98cbfdd54ddc2704f1d7f2561119b5d1eb8689c755ee86e6a71d34d6d2c0c6f\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014167.lean\",\"9236dc951283f975b88cb2204c437444a3aa84e57d18e337df13f70874cc7cb0\",0,\"prove\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014164-n000004-0000-fa7583616f1746e4.parquet",
-      "sha256": "fa7583616f1746e4cf2aeaf26cfe1f156b11617e6e8265dda0b89e99f6a4cd07",
       "bytes": 322539,
+      "path": "data/train/pf4/oproofs-s00002-r00014164-n000004-0000-fa7583616f1746e4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
+      "sha256": "fa7583616f1746e4cf2aeaf26cfe1f156b11617e6e8265dda0b89e99f6a4cd07"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014164-n000004-0001-b1c499c9acb82d05.parquet",
-      "sha256": "b1c499c9acb82d053526bca0fcc2b1f1342d983f94885a1107b1d1b3db0f1c23",
       "bytes": 621271,
+      "path": "data/train/pf4/oproofs-s00002-r00014164-n000004-0001-b1c499c9acb82d05.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
+      "sha256": "b1c499c9acb82d053526bca0fcc2b1f1342d983f94885a1107b1d1b3db0f1c23"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014164-n000004-0000-2121b07f2d38bedf.parquet",
-      "sha256": "2121b07f2d38bedf1a5db412e7e7f0f234064580438d0aa96b92213d9ce9011e",
       "bytes": 129369,
+      "path": "data/internal_test/pf4/oproofs-s00002-r00014164-n000004-0000-2121b07f2d38bedf.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
+      "sha256": "2121b07f2d38bedf1a5db412e7e7f0f234064580438d0aa96b92213d9ce9011e"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14164",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14165",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14166",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14167"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014164.lean\",\"aa528582d22578103aeb926a6c0ce8b5d9ec43ad1f90733fc7ba77ac83bfe423\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014165.lean\",\"fa6a5421433087d1c754873d7523c2a4787ee0134e99798fe635298cabc86471\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014166.lean\",\"f98cbfdd54ddc2704f1d7f2561119b5d1eb8689c755ee86e6a71d34d6d2c0c6f\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014167.lean\",\"9236dc951283f975b88cb2204c437444a3aa84e57d18e337df13f70874cc7cb0\",0,\"prove\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014168-n000004.json b/manifests/batches/oproofs/s00002-r00014168-n000004.json
index 4fac9e25bd51ee1424269855d9038b92df47da9a..840c8e89ddcddd51e5ad4d145c0994fec13afada 100644
--- a/manifests/batches/oproofs/s00002-r00014168-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014168-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014168-n000004",
   "batch_fingerprint": "589e89b85f66bacb0ffb967196b7a2d09283211e8220dca44f9ca8fc68d29e55",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014168-n000004-0000-1a3d82c6bd16e6d3.parquet",
-      "sha256": "1a3d82c6bd16e6d362e8609eda81e880947ab0064d6f050d9be85b57a71657a0",
-      "bytes": 622788,
-      "rows": 29,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14168",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14169",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014169.lean\",\"d2afdeeaa6bf85a716b57942ec4de381fd19ea17fd31e31957bed8fb401be224\",0,\"algebraic_468250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014170.lean\",\"cd6b9cbf9054d710e17db90439dfc3b0bfde61e1766153269234ef0a810838c1\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014171.lean\",\"0b8b9873bc90a98c2dac7a97e2bbe237e2429595269f0430d640c985b04dd907\",0,\"algebra_509067\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 622788,
+      "path": "data/train/pf0/oproofs-s00002-r00014168-n000004-0000-1a3d82c6bd16e6d3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 29,
+      "sha256": "1a3d82c6bd16e6d362e8609eda81e880947ab0064d6f050d9be85b57a71657a0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014172-n000004.json b/manifests/batches/oproofs/s00002-r00014172-n000004.json
index f439a623e8d967a639854691b95ee8efce1057e5..335684a9b94fdc3f9098653900291f767c4a2fda 100644
--- a/manifests/batches/oproofs/s00002-r00014172-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014172-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014172-n000004",
   "batch_fingerprint": "0aae1c40a0aee62a72077be60a48212c171e6d4548982a448b6fcabc68bc690a",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014172-n000004-0000-7a7e4045ef5a86a3.parquet",
-      "sha256": "7a7e4045ef5a86a366d911496ae6ed2f2cf8488f65ba3e55f69102c8b4c6b716",
-      "bytes": 209137,
-      "rows": 11,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014172-n000004-0000-df3d55a241b69b21.parquet",
-      "sha256": "df3d55a241b69b219090d2fbd0ed3e64cc5b2fbd665805abafa86ee0fabb2410",
-      "bytes": 367622,
-      "rows": 8,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14172",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14173",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014173.lean\",\"6d143c08090cdcda177931668d7b8015550d7d340fb9a9fffff24f893e4a2c9f\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014174.lean\",\"b2f0d536e8702e55ce33edd7ba2ac2fd301ae768e1a3e4af84619c2de20ff3e7\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014175.lean\",\"dbd314c937e0cfb1227b7f2de3a9f5c4b703217130efcba5ca4cdffe5c99cc9a\",0,\"fun_eq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 209137,
+      "path": "data/train/p1b/oproofs-s00002-r00014172-n000004-0000-7a7e4045ef5a86a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7a7e4045ef5a86a366d911496ae6ed2f2cf8488f65ba3e55f69102c8b4c6b716"
+    },
+    {
+      "bytes": 367622,
+      "path": "data/internal_test/p1b/oproofs-s00002-r00014172-n000004-0000-df3d55a241b69b21.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "df3d55a241b69b219090d2fbd0ed3e64cc5b2fbd665805abafa86ee0fabb2410"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014176-n000004.json b/manifests/batches/oproofs/s00002-r00014176-n000004.json
index de59baffa775edea9c8ff7b793f43a7f9662c2e6..60d080379e9db77b828c80d6e4fc9e7c2fce4b44 100644
--- a/manifests/batches/oproofs/s00002-r00014176-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014176-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014176-n000004",
   "batch_fingerprint": "71f84a8ad11544284f1692057fcc30aa0134aea2679f132906e19bfceb2fdbdc",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14176",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14177",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14178",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14179"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014176.lean\",\"d9da909a91cbd350fb210c046ce4da2d53c06b02041d40456e5187a909675e3b\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014177.lean\",\"b4d5755699b97074e87d3f6d9cf0d2e7f6c3ec7b253f0f87cd47dc78eaf5b50d\",0,\"algebra_483608\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014178.lean\",\"1b364d5f41d4a12f3a0138406b1e3044edfab731c8fcc1d3272865f989126284\",0,\"algebra_460557\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014179.lean\",\"04c997521f1ca7f27761f90002d82049ac1157c1f1e639099a5ab6cf238866bb\",0,\"algebra_456789\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014176-n000004-0000-14fa7ccca4b8a3b0.parquet",
-      "sha256": "14fa7ccca4b8a3b07ea701d527a6b1b02205346f0d30854745e50af0d1aff98c",
       "bytes": 954035,
+      "path": "data/train/p1a/oproofs-s00002-r00014176-n000004-0000-14fa7ccca4b8a3b0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 25,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "14fa7ccca4b8a3b07ea701d527a6b1b02205346f0d30854745e50af0d1aff98c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014176-n000004-0001-f80959a7e78d5b08.parquet",
-      "sha256": "f80959a7e78d5b0859ecfcf94600c3ea6a26ce6fcfbfea9d4e33401184891bcf",
       "bytes": 1588714,
+      "path": "data/train/p1a/oproofs-s00002-r00014176-n000004-0001-f80959a7e78d5b08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "f80959a7e78d5b0859ecfcf94600c3ea6a26ce6fcfbfea9d4e33401184891bcf"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014176-n000004-0002-03f7562c06a9cccc.parquet",
-      "sha256": "03f7562c06a9cccce79c11fae7648cd5a7043ec15ba3c79d52ea2b9328f99203",
       "bytes": 100935,
+      "path": "data/train/p1a/oproofs-s00002-r00014176-n000004-0002-03f7562c06a9cccc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "03f7562c06a9cccce79c11fae7648cd5a7043ec15ba3c79d52ea2b9328f99203"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14176",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14177",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14178",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14179"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014176.lean\",\"d9da909a91cbd350fb210c046ce4da2d53c06b02041d40456e5187a909675e3b\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014177.lean\",\"b4d5755699b97074e87d3f6d9cf0d2e7f6c3ec7b253f0f87cd47dc78eaf5b50d\",0,\"algebra_483608\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014178.lean\",\"1b364d5f41d4a12f3a0138406b1e3044edfab731c8fcc1d3272865f989126284\",0,\"algebra_460557\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014179.lean\",\"04c997521f1ca7f27761f90002d82049ac1157c1f1e639099a5ab6cf238866bb\",0,\"algebra_456789\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014180-n000004.json b/manifests/batches/oproofs/s00002-r00014180-n000004.json
index 951f3c1ee778b24802e3200d0955a13ec4189042..e01471654c81850e3d94fd01e3dc34bd892841f0 100644
--- a/manifests/batches/oproofs/s00002-r00014180-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014180-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014180-n000004",
   "batch_fingerprint": "ea2303c96027a62803010aefb6422b68c1bbe8fb12606edd027dbca9ffbd3423",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014180-n000004-0000-9c0ac56d0d421a94.parquet",
-      "sha256": "9c0ac56d0d421a94a5d8c3efad1649e45dba12c69d384f91effe679a3768f708",
-      "bytes": 1178781,
-      "rows": 26,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014180-n000004-0001-ecca490d6d5b83b8.parquet",
-      "sha256": "ecca490d6d5b83b84a64b6a2c376a0b9aa2e3315f5060381c3a9b63e3e4dd238",
-      "bytes": 108140,
-      "rows": 2,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14180",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14181",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014181.lean\",\"525c1fbc826e0fd0be8cdbf21859c3e07784d9e407b74f689c2dc11b1e5dce60\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014182.lean\",\"fdc0123ece17a281304f0c140793c1c38e440d018b36c0059800e5f8f1e7f1d7\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014183.lean\",\"0d50661a0d61828f0cdf93b38263f5c08b8f72082f1ec499accc1d4d140053fa\",0,\"algebra_456741\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1178781,
+      "path": "data/train/p8a/oproofs-s00002-r00014180-n000004-0000-9c0ac56d0d421a94.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "9c0ac56d0d421a94a5d8c3efad1649e45dba12c69d384f91effe679a3768f708"
+    },
+    {
+      "bytes": 108140,
+      "path": "data/train/p8a/oproofs-s00002-r00014180-n000004-0001-ecca490d6d5b83b8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "ecca490d6d5b83b84a64b6a2c376a0b9aa2e3315f5060381c3a9b63e3e4dd238"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014184-n000004.json b/manifests/batches/oproofs/s00002-r00014184-n000004.json
index 8947c77f834e5764cc253afb6bdd4f7fc04ade1d..9ebd27edb0b951962ca1e2e7e7caa8af5fabc952 100644
--- a/manifests/batches/oproofs/s00002-r00014184-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014184-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014184-n000004",
   "batch_fingerprint": "42583c7990671c9269fc6cbbfc046c1c3c7c13847e37d54128aeb2b139c1b3d6",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014184-n000004-0000-71a7570b9c8eba36.parquet",
-      "sha256": "71a7570b9c8eba36c1f17556230d37f0130a69d0390f11b70d61c2f994bcb27e",
-      "bytes": 401508,
-      "rows": 19,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14184",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14185",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014185.lean\",\"a3c8e44ae06be30425cf359dd3697f3e0eec9544115e2d5f4dd228fae2835300\",0,\"cos_2\u03b1_\u03b2_\u03b3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014186.lean\",\"38ad6aeb912c60305e2f5cbddb8db3e329523ebadcc743fbfb1ec672ee89b5ee\",0,\"algebra_487506\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014187.lean\",\"e47e303d33d78211b9e191c838b5f2d512985c5b41819e9a3fd3dc8434129efb\",0,\"lean_workbook_plus_72640\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 401508,
+      "path": "data/train/pcc/oproofs-s00002-r00014184-n000004-0000-71a7570b9c8eba36.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "71a7570b9c8eba36c1f17556230d37f0130a69d0390f11b70d61c2f994bcb27e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014188-n000004.json b/manifests/batches/oproofs/s00002-r00014188-n000004.json
index e75738909cd99bbdd3d8463452709895d515767b..bbdfbad02fd6c53c7e49ab2a69e667f39c13264b 100644
--- a/manifests/batches/oproofs/s00002-r00014188-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014188-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014188-n000004",
   "batch_fingerprint": "452e78f6eeab0ddf9eea32e3240f269374b648f42693e8993ed378898f128f09",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014188-n000004-0000-27b4b59c1e3612d8.parquet",
-      "sha256": "27b4b59c1e3612d8871adaca77c3363596f168953a2d9fc5737f1238d54d9031",
-      "bytes": 211525,
-      "rows": 27,
-      "revision": "3d5cb6e404659dcd8c1d39621f57c68558832eb5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14188",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14189",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014189.lean\",\"8940d94ab6115fe8803ba30d9cc9518c0f91e9b72221b6c8e4332bb4a6761208\",0,\"lean_workbook_plus_67652\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014190.lean\",\"83abd9c476c91903b0f3978fb0a1ddaf6ce9ea58ac0a6f18388625c7190de6d3\",0,\"lean_workbook_plus_44956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014191.lean\",\"b2a4d804acff3e3c63493ef3e0d2045ba43df64171a4638be18a1ef50d452474\",0,\"cos_composite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 211525,
+      "path": "data/train/p2e/oproofs-s00002-r00014188-n000004-0000-27b4b59c1e3612d8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "27b4b59c1e3612d8871adaca77c3363596f168953a2d9fc5737f1238d54d9031"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014192-n000004.json b/manifests/batches/oproofs/s00002-r00014192-n000004.json
index 0325b30179eb6797da8c57d2e4af9d4fbc950494..b2889855aee2aee953441514ca140d61c46dcff6 100644
--- a/manifests/batches/oproofs/s00002-r00014192-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014192-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014192-n000004",
   "batch_fingerprint": "58ba84ad1df2a78d2f6a61e273eaec16608da2a101764aebddc09eef0992d720",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014192-n000004-0000-ce55bdcc47352068.parquet",
-      "sha256": "ce55bdcc4735206847e89ce41d630a83377ff5aff796ff8ef461ed523d569562",
-      "bytes": 622791,
-      "rows": 13,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014192-n000004-0000-c30563e5d33a05a6.parquet",
-      "sha256": "c30563e5d33a05a69cf31311cf8a9b45807adefd37d00ee8b775f200130164c9",
-      "bytes": 168225,
-      "rows": 5,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14192",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14193",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014193.lean\",\"d54f41ac08fb56e5f2096417fa5103c0fec87d0edd61a0819a12e0895e56b5ce\",0,\"Real.sin_tan\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014194.lean\",\"0f554f9fe568e09d9d925c9bd81af09b8226e393819509e5ffc58b8f1f1b5c1e\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014195.lean\",\"e59644b2951fba5ba6c97c0bb94a8907ee5d2a09b6e728716ceeee2a69bf5c68\",0,\"Nat.choose_and_div\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 622791,
+      "path": "data/train/p7e/oproofs-s00002-r00014192-n000004-0000-ce55bdcc47352068.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ce55bdcc4735206847e89ce41d630a83377ff5aff796ff8ef461ed523d569562"
+    },
+    {
+      "bytes": 168225,
+      "path": "data/dev/p7e/oproofs-s00002-r00014192-n000004-0000-c30563e5d33a05a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "c30563e5d33a05a69cf31311cf8a9b45807adefd37d00ee8b775f200130164c9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014196-n000004.json b/manifests/batches/oproofs/s00002-r00014196-n000004.json
index 3e4102ac05ebbf1d903b6d7b2dfd1f594780e4f2..4cc4cea391c1f25970230d1261bcd024f9684b47 100644
--- a/manifests/batches/oproofs/s00002-r00014196-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014196-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014196-n000004",
   "batch_fingerprint": "44d4f02377b56090d6166b026740542cc65e14ba4041f6ea9eb99f579f00b5cc",
   "evidence": {
@@ -19,46 +18,47 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14196",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14197",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14198",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14199"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014196.lean\",\"5a0a40aa64c6b246824aee1f3b79aacd1fcfaee971caba8e00b7e7e9e102ef85\",0,\"algebra_466918\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014197.lean\",\"3c931888007b013ef936093ee42314912fb8e3cb9140dba98a4997a6c2201680\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014198.lean\",\"6b6be800f3fb2e6a8e654a320863d2f96f27dd6a084637dab032e49746110c6e\",0,\"algebra_486712\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014199.lean\",\"cd49e9fec3df75493abc7a9e30d8ed3f707e9b3096115465ff443bb2e15b7cb4\",0,\"Q\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014196-n000004-0000-0155b6df71e99aa3.parquet",
-      "sha256": "0155b6df71e99aa3644279e6adaf98210e7d0efea97df96de39310b3188cbc47",
       "bytes": 1157152,
+      "path": "data/train/p06/oproofs-s00002-r00014196-n000004-0000-0155b6df71e99aa3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 20,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "0155b6df71e99aa3644279e6adaf98210e7d0efea97df96de39310b3188cbc47"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014196-n000004-0001-ad21e86beef01209.parquet",
-      "sha256": "ad21e86beef01209b47288fe937f7eec79cfc892f1991f730360868eea165a9c",
       "bytes": 1910789,
+      "path": "data/train/p06/oproofs-s00002-r00014196-n000004-0001-ad21e86beef01209.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 1,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "ad21e86beef01209b47288fe937f7eec79cfc892f1991f730360868eea165a9c"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014196-n000004-0002-6a24da1c9dd14f54.parquet",
-      "sha256": "6a24da1c9dd14f54c2d209cb973463e4806ec8a337db8afc11bd860666055cbe",
       "bytes": 305970,
+      "path": "data/train/p06/oproofs-s00002-r00014196-n000004-0002-6a24da1c9dd14f54.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "6a24da1c9dd14f54c2d209cb973463e4806ec8a337db8afc11bd860666055cbe"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014196-n000004-0000-a7b933be801b60d2.parquet",
-      "sha256": "a7b933be801b60d21315b750508c06e6a69c217cc18ea212328f3fbc3bd12747",
       "bytes": 106676,
+      "path": "data/internal_test/p06/oproofs-s00002-r00014196-n000004-0000-a7b933be801b60d2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
+      "sha256": "a7b933be801b60d21315b750508c06e6a69c217cc18ea212328f3fbc3bd12747"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14196",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14197",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14198",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14199"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014196.lean\",\"5a0a40aa64c6b246824aee1f3b79aacd1fcfaee971caba8e00b7e7e9e102ef85\",0,\"algebra_466918\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014197.lean\",\"3c931888007b013ef936093ee42314912fb8e3cb9140dba98a4997a6c2201680\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014198.lean\",\"6b6be800f3fb2e6a8e654a320863d2f96f27dd6a084637dab032e49746110c6e\",0,\"algebra_486712\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014199.lean\",\"cd49e9fec3df75493abc7a9e30d8ed3f707e9b3096115465ff443bb2e15b7cb4\",0,\"Q\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014200-n000004.json b/manifests/batches/oproofs/s00002-r00014200-n000004.json
index 6441f335c714dfa09f9aa3b0f2c415c36d93248b..0f226b5bc4c06740d2e744f595d152aafe0477c8 100644
--- a/manifests/batches/oproofs/s00002-r00014200-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014200-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014200-n000004",
   "batch_fingerprint": "ba2da0dc0effd0e993150320ad8f93f2fcd641689b06e5e8a3e8cd94392d378f",
   "evidence": {
@@ -40,22 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014200-n000004-0000-3b4e52dd34fec050.parquet",
-      "sha256": "3b4e52dd34fec05006313e854c280a6342828ed76a2c8d6997c35a60c13c278f",
-      "bytes": 58507,
-      "rows": 4,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014200-n000004-0000-8720937bb63efc9a.parquet",
-      "sha256": "8720937bb63efc9a81140abd6f88b6a524efd38a051014af5e14c0e65548d651",
-      "bytes": 746139,
-      "rows": 8,
-      "revision": "d22b1d25ef555e1d4de8cf8b2ea3ee31fc4a313d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14201",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14202",
@@ -65,5 +49,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014201.lean\",\"2e65f0ea9fb8c567bd78d80c13ad3f8e9104442b022cfe7086eead9ed947a4b6\",0,\"prove_composite\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014202.lean\",\"d3d7015694e6f6629c7a5a72d4d504ad49bc3e5934d858ab6cfaae3f39933341\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014203.lean\",\"651425eccee6e7511afe2256f88c22c5455265a015919989398134f2f393bb4f\",0,\"max_value\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 58507,
+      "path": "data/train/p89/oproofs-s00002-r00014200-n000004-0000-3b4e52dd34fec050.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "3b4e52dd34fec05006313e854c280a6342828ed76a2c8d6997c35a60c13c278f"
+    },
+    {
+      "bytes": 746139,
+      "path": "data/internal_test/p89/oproofs-s00002-r00014200-n000004-0000-8720937bb63efc9a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8720937bb63efc9a81140abd6f88b6a524efd38a051014af5e14c0e65548d651"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014204-n000004.json b/manifests/batches/oproofs/s00002-r00014204-n000004.json
index bad8108c120b764e499fc81e6ff201f49dcc78d1..67bbbc3c87873479326c3c5a87edf77f190d45f4 100644
--- a/manifests/batches/oproofs/s00002-r00014204-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014204-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014204-n000004",
   "batch_fingerprint": "5b5945fe26840f65a561efd92af62942ea93aba9f0db2b25e20377048b7d27a3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014204-n000004-0000-832d114e9de218fa.parquet",
-      "sha256": "832d114e9de218facfd5b91016099e5159786e1f7c254db7edfc29b15cdbb7ff",
-      "bytes": 1192159,
-      "rows": 32,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014204-n000004-0000-2d99a4ea4a1713d5.parquet",
-      "sha256": "2d99a4ea4a1713d543d3965b8d15ac6f025528e85dfa8da17b32f00272c0b5c8",
-      "bytes": 78729,
-      "rows": 2,
-      "revision": "7e9088e466cfed32e5b2e1f203e8c586efc64d4e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14204",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14205",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014205.lean\",\"6bf9282f95719465ccdf85bc9c85e34776e7cd2d27b685555308417de413929d\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014206.lean\",\"dcc6ea2ddcc93fe2683a5e053c153b62f65573cc7103137aa1addcd54f83d0f9\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014207.lean\",\"ae77acea1a5699b9c1f47d8c0bc8a24439eebb570f649801c7cd40145abc34ed\",0,\"functional_eq_to_kcd\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1192159,
+      "path": "data/train/p78/oproofs-s00002-r00014204-n000004-0000-832d114e9de218fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "832d114e9de218facfd5b91016099e5159786e1f7c254db7edfc29b15cdbb7ff"
+    },
+    {
+      "bytes": 78729,
+      "path": "data/internal_test/p78/oproofs-s00002-r00014204-n000004-0000-2d99a4ea4a1713d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2d99a4ea4a1713d543d3965b8d15ac6f025528e85dfa8da17b32f00272c0b5c8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014208-n000004.json b/manifests/batches/oproofs/s00002-r00014208-n000004.json
index 3257b4b2dad68cf16b722664459f2d67bcccf9d6..c7aebb57e062318b66e6383297e288851757c719 100644
--- a/manifests/batches/oproofs/s00002-r00014208-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014208-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014208-n000004",
   "batch_fingerprint": "ba40c9a318a234a04292579c7798155fd4828468bd05bee39ee2b6f6fd546c59",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014208-n000004-0000-d5e342de223b5642.parquet",
-      "sha256": "d5e342de223b56426bf1067dc697a7b0c1bbba7d9d16e960823dc73ded0cb4ab",
-      "bytes": 245327,
-      "rows": 13,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014208-n000004-0000-2c4c96f0a03e36cd.parquet",
-      "sha256": "2c4c96f0a03e36cdf3f9ec1c735226c54e58fcc46adc98ac6c20d9dfed5efe59",
-      "bytes": 34423,
-      "rows": 2,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14208",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14209",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014209.lean\",\"75f95043a67119cbd76e8801d6fe9d99f6e86b5ed370fe49ed526ff218445fc7\",0,\"MatrixSignSum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014210.lean\",\"77071994ee02a6baea72a31fb0d15095e15d6719b314cf0e039f362bfa5dfeb3\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014211.lean\",\"d13fc7620a16a6547f7d6d76d4fc875afb3daf6420a6b2b887094d2daa3cef90\",0,\"algebra_487984\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 245327,
+      "path": "data/train/pfd/oproofs-s00002-r00014208-n000004-0000-d5e342de223b5642.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "d5e342de223b56426bf1067dc697a7b0c1bbba7d9d16e960823dc73ded0cb4ab"
+    },
+    {
+      "bytes": 34423,
+      "path": "data/dev/pfd/oproofs-s00002-r00014208-n000004-0000-2c4c96f0a03e36cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2c4c96f0a03e36cdf3f9ec1c735226c54e58fcc46adc98ac6c20d9dfed5efe59"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014212-n000004.json b/manifests/batches/oproofs/s00002-r00014212-n000004.json
index 08f1e33327a6f8db05022f343ea9b7313a89269f..592b955e0a84f11ca93f0af02fd49f19611c9e21 100644
--- a/manifests/batches/oproofs/s00002-r00014212-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014212-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014212-n000004",
   "batch_fingerprint": "5a59f2093c9e54d3421e53b24a4c0c1a69134f12add2d919e5e5355ee040bc01",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014212-n000004-0000-6d2a47a96cfec11c.parquet",
-      "sha256": "6d2a47a96cfec11cc8be58b3c363feea54194c4062ca14cbf9318f26edb1cad3",
-      "bytes": 872664,
-      "rows": 22,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14212",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14213",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014213.lean\",\"074291f3c2bdfe26d5a7e29e8732afc5d63a5894cd126f3e255454db5fd1a683\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014214.lean\",\"445f82da995140a8d207fe3dda5c5aa0bf0eb37ae821a15dc026c47e8e7a819d\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014215.lean\",\"29f66d6fb5d57ea649db8b0fa91f9ddc05189df3ad74bf69c7467f5f4a5b45db\",0,\"algebra_482364\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 872664,
+      "path": "data/train/p72/oproofs-s00002-r00014212-n000004-0000-6d2a47a96cfec11c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 22,
+      "sha256": "6d2a47a96cfec11cc8be58b3c363feea54194c4062ca14cbf9318f26edb1cad3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014216-n000004.json b/manifests/batches/oproofs/s00002-r00014216-n000004.json
index 21879a5df3fd2ab3938eb4aba0e7c54f5b451dfb..772eca3d5c28bfdad2405dade8e4ddf1cd92d1b2 100644
--- a/manifests/batches/oproofs/s00002-r00014216-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014216-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014216-n000004",
   "batch_fingerprint": "1b5837d76cd52af36c96150799844c4a1f43f92752e48e2ebbae70b2050e7b80",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014216-n000004-0000-58f1562d307dd4c2.parquet",
-      "sha256": "58f1562d307dd4c268225ee96cabc52230adca58cf2f70a0a742d5410c0d36ca",
-      "bytes": 620487,
-      "rows": 19,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014216-n000004-0000-0237e5f0cdcad581.parquet",
-      "sha256": "0237e5f0cdcad5812ed6199da4b1357100945639ba10922b1b6c93e440ecf2c1",
-      "bytes": 95167,
-      "rows": 4,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14216",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14217",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014217.lean\",\"505f630085e19643d774bc007e1e8bec957c086249d73fc63fd50675737ef4aa\",0,\"RealSet\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014218.lean\",\"79ee648e8c2d84935912a4a8f2ce337b357fcc08bb7a467dc893df577e8d7d7e\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014219.lean\",\"61054bcaf6123413e08c27a3bbcd1ca127b154e7004b63b84f4c7f4418cd7427\",0,\"algebra_457866\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 620487,
+      "path": "data/train/pf7/oproofs-s00002-r00014216-n000004-0000-58f1562d307dd4c2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "58f1562d307dd4c268225ee96cabc52230adca58cf2f70a0a742d5410c0d36ca"
+    },
+    {
+      "bytes": 95167,
+      "path": "data/internal_test/pf7/oproofs-s00002-r00014216-n000004-0000-0237e5f0cdcad581.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "0237e5f0cdcad5812ed6199da4b1357100945639ba10922b1b6c93e440ecf2c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014220-n000004.json b/manifests/batches/oproofs/s00002-r00014220-n000004.json
index 2786158a17f4ae91de20bc34c11eb4e1ad142102..6871035d23a0c22bb77691da9d9963d181a150ca 100644
--- a/manifests/batches/oproofs/s00002-r00014220-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014220-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014220-n000004",
   "batch_fingerprint": "556fa666b499bfcd55bbf6e17d00757e4569c79b8534dc7f23155e369715deb2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014220-n000004-0000-c3f40c450911e472.parquet",
-      "sha256": "c3f40c450911e472f403a68fa21a1a87fab5a4407deacb933a5728b8e313dbf9",
-      "bytes": 500849,
-      "rows": 20,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014220-n000004-0000-92ee8a32145fc2b7.parquet",
-      "sha256": "92ee8a32145fc2b71f7a13fcfea14ed75dc6893b6210c9f7c675f55547c9536b",
-      "bytes": 201619,
-      "rows": 7,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14220",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14221",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014221.lean\",\"ec77df6425352deecc897087714dc9fbe8b81f5c5fad006a50c2048fc5cd64e2\",0,\"algebra_458916\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014222.lean\",\"a220223046ff456c2de9ed3aeea629d3e536bd4f28ca3fec1884aafe813b875f\",0,\"arcsin\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014223.lean\",\"96a6fc4e5b3c65993352f256e3dcee2fd8c31fdbfcebd86aea2cafecba8d0407\",0,\"algebra_460854\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 500849,
+      "path": "data/train/p0f/oproofs-s00002-r00014220-n000004-0000-c3f40c450911e472.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "c3f40c450911e472f403a68fa21a1a87fab5a4407deacb933a5728b8e313dbf9"
+    },
+    {
+      "bytes": 201619,
+      "path": "data/dev/p0f/oproofs-s00002-r00014220-n000004-0000-92ee8a32145fc2b7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "92ee8a32145fc2b71f7a13fcfea14ed75dc6893b6210c9f7c675f55547c9536b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014224-n000004.json b/manifests/batches/oproofs/s00002-r00014224-n000004.json
index 1246b8a1e693b652b61730723f8660d41d57d147..6d54be84db7a024ef5da1bb023616516dd2f4dd9 100644
--- a/manifests/batches/oproofs/s00002-r00014224-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014224-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014224-n000004",
   "batch_fingerprint": "3204f955ff1e61c10aae14436bf16f9f47cc45f1ca95bc0fafdd748366fec8a3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014224-n000004-0000-1d48007dcc16aede.parquet",
-      "sha256": "1d48007dcc16aede1496ba0dc6fa0fdba3ad2d5bddc5828fab0630426414e333",
-      "bytes": 1383877,
-      "rows": 32,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14224",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14225",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014225.lean\",\"d123d2bbf243af1acfe164f61b4954481d857b806670f9450798556237a0dd6b\",0,\"Real_pos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014226.lean\",\"546b3b5416270ad3fa98b90db507707d8b6a736cbb153128bffabe1a976a6750\",0,\"apos\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014227.lean\",\"3934ce7879582161e66f6e6291f7056d8baae365dc99c2bb565f1d85fa3cc3cf\",0,\"Real_pos\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1383877,
+      "path": "data/train/p81/oproofs-s00002-r00014224-n000004-0000-1d48007dcc16aede.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 32,
+      "sha256": "1d48007dcc16aede1496ba0dc6fa0fdba3ad2d5bddc5828fab0630426414e333"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014228-n000004.json b/manifests/batches/oproofs/s00002-r00014228-n000004.json
index 862926fba0fa76de3507f80461e169b8706e2a8e..12c61c38e93777155826a777c6225946e35ae43b 100644
--- a/manifests/batches/oproofs/s00002-r00014228-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014228-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014228-n000004",
   "batch_fingerprint": "a368ab2beef7b7af637959d6486a18755202c1564746c76dee57977109c6e3d3",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014228-n000004-0000-bee4d5ff09499424.parquet",
-      "sha256": "bee4d5ff09499424abc7066b385cf308a73e755431f88ef51f2e5e7f91fe469e",
-      "bytes": 969129,
-      "rows": 16,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014228-n000004-0001-5e9ee432b1f2c7f9.parquet",
-      "sha256": "5e9ee432b1f2c7f9fa3e1f92d471fd37e6b5870d7100e630554d747138d57251",
-      "bytes": 239613,
-      "rows": 4,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14228",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14229",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014229.lean\",\"b5f0ae5888252f0164b08157e241ea161b956db9ebbf00a68f493d45776084f8\",0,\"algebra_465059\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014230.lean\",\"2e3151f887bc4c40f4bb8c8d6a2e6e7e43bfbb773bf5cce77f08aca9af03eb20\",0,\"algebra_456759\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014231.lean\",\"8e700bf7a6dffab582c6e666062d406caea49155f6ac89367fe351e2c6c0d0d4\",0,\"algebra_451799\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 969129,
+      "path": "data/train/p2e/oproofs-s00002-r00014228-n000004-0000-bee4d5ff09499424.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "bee4d5ff09499424abc7066b385cf308a73e755431f88ef51f2e5e7f91fe469e"
+    },
+    {
+      "bytes": 239613,
+      "path": "data/train/p2e/oproofs-s00002-r00014228-n000004-0001-5e9ee432b1f2c7f9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "5e9ee432b1f2c7f9fa3e1f92d471fd37e6b5870d7100e630554d747138d57251"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014232-n000004.json b/manifests/batches/oproofs/s00002-r00014232-n000004.json
index 6cd6291e0c48f721846bff35a175309776735429..9b5f7ab43c457012c0fb64eb89f1863d297dd0c3 100644
--- a/manifests/batches/oproofs/s00002-r00014232-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014232-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014232-n000004",
   "batch_fingerprint": "001a9126be3f995f8f4353a40e4b52012101ced9c99a2d84136bcfea59554223",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014232-n000004-0000-9c8968270ce29450.parquet",
-      "sha256": "9c8968270ce294501b485ee4e13875ba5ebcb26976de39d1adf3e04b7affdd8a",
-      "bytes": 352679,
-      "rows": 13,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14232",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14233",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014233.lean\",\"3ba6a0baae1318f7c57b4ec2b1ae5b798b598494bcd71ada14e3597a414e669b\",0,\"algebra_437699\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014234.lean\",\"980550c96bd5a54df2e33e3cf9a504330f1a3874138b8640ce15136c444ac01b\",0,\"min_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014235.lean\",\"dc090d5a5ae3ad7a3c188ecc2e557e4e1665c302d9c1dfeec3e4a0be1e883489\",0,\"prove\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 352679,
+      "path": "data/train/p20/oproofs-s00002-r00014232-n000004-0000-9c8968270ce29450.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "9c8968270ce294501b485ee4e13875ba5ebcb26976de39d1adf3e04b7affdd8a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014236-n000004.json b/manifests/batches/oproofs/s00002-r00014236-n000004.json
index 568955fd6df6f72c6a275250939a133622a80191..00e489f0622d4e005a5b7bba3f6201cc39e3c3f5 100644
--- a/manifests/batches/oproofs/s00002-r00014236-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014236-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014236-n000004",
   "batch_fingerprint": "5b8e010757fc6b745fafb0448b8b160fd4e161a9229b68f3bb935b51ab844aa9",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14236",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14237",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14238",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14239"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014236.lean\",\"a0bd1d6e95595ac93fa3d09fd2c86a170fddf88886de9f5d275df7c36b3b821c\",0,\"RealF\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014237.lean\",\"e283e28957ec8da27fe923a2f68851140764056f93f8901ac71d693bf3d559aa\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014238.lean\",\"6bb17ad460fce306981190feee257f2c5ebe6fc6580823ae029a067201b21a90\",0,\"algebra\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014239.lean\",\"1ab3a90e947fcee3e36143ec17589e2761e65a761604bfa28bfd400af38c5e25\",0,\"algebra_598614\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014236-n000004-0000-f7fa86feb04f8d7d.parquet",
-      "sha256": "f7fa86feb04f8d7d30e76c74203275bbe1435f4cdfa349e52e65ad10b9308630",
       "bytes": 779685,
+      "path": "data/train/p24/oproofs-s00002-r00014236-n000004-0000-f7fa86feb04f8d7d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 22,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "f7fa86feb04f8d7d30e76c74203275bbe1435f4cdfa349e52e65ad10b9308630"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014236-n000004-0001-8513e492dc7ba811.parquet",
-      "sha256": "8513e492dc7ba8116b55fb08c8dac8b16e46e645bc4c0b24e1cfaf7274897683",
       "bytes": 324193,
+      "path": "data/train/p24/oproofs-s00002-r00014236-n000004-0001-8513e492dc7ba811.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "8513e492dc7ba8116b55fb08c8dac8b16e46e645bc4c0b24e1cfaf7274897683"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014236-n000004-0000-e3b9e2c285bc813c.parquet",
-      "sha256": "e3b9e2c285bc813c29ad51c98ee55691d6dc9e1c5a7b6cdda632d4f6e60c8157",
       "bytes": 1341850,
+      "path": "data/internal_test/p24/oproofs-s00002-r00014236-n000004-0000-e3b9e2c285bc813c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 14,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "e3b9e2c285bc813c29ad51c98ee55691d6dc9e1c5a7b6cdda632d4f6e60c8157"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14236",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14237",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14238",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14239"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014236.lean\",\"a0bd1d6e95595ac93fa3d09fd2c86a170fddf88886de9f5d275df7c36b3b821c\",0,\"RealF\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014237.lean\",\"e283e28957ec8da27fe923a2f68851140764056f93f8901ac71d693bf3d559aa\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014238.lean\",\"6bb17ad460fce306981190feee257f2c5ebe6fc6580823ae029a067201b21a90\",0,\"algebra\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014239.lean\",\"1ab3a90e947fcee3e36143ec17589e2761e65a761604bfa28bfd400af38c5e25\",0,\"algebra_598614\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014240-n000004.json b/manifests/batches/oproofs/s00002-r00014240-n000004.json
index 4dbba889a7539cb83969b7975a3e2c411db60206..22e245a010e06026e207f44932d4c05cce627437 100644
--- a/manifests/batches/oproofs/s00002-r00014240-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014240-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014240-n000004",
   "batch_fingerprint": "ce95ea778ebdbe51d8c61edc4c4c3ae35140f4f315b0db07e48f70520f8bda00",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014240-n000004-0000-2726edb5c366e05f.parquet",
-      "sha256": "2726edb5c366e05f16b94d91ff5a6ab12cf554687c478eec8d98ba97b349e687",
-      "bytes": 789053,
-      "rows": 13,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014240-n000004-0001-e90ad72949376a8b.parquet",
-      "sha256": "e90ad72949376a8b31df827afa768004a4d583b3c61a98c21c36d31ca827d3f2",
-      "bytes": 439885,
-      "rows": 5,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14240",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14241",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014241.lean\",\"c70c5272a5cf24962830883c08dac8b0cbc11aa1e1fb9e012b58bfa25d2e5356\",0,\"algebra_374100\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014242.lean\",\"03a3fe1ff42face1cfa998b6d3e2fc37d7e81075ee6940c13c98adb9251353e4\",0,\"quadratic_function\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014243.lean\",\"99c2cec9cb2e219e69cb5a5a870ba7dc9ca8e4fb15f7c587449eee8a9e0b0efa\",0,\"algebra_428507\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 789053,
+      "path": "data/train/pa9/oproofs-s00002-r00014240-n000004-0000-2726edb5c366e05f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2726edb5c366e05f16b94d91ff5a6ab12cf554687c478eec8d98ba97b349e687"
+    },
+    {
+      "bytes": 439885,
+      "path": "data/train/pa9/oproofs-s00002-r00014240-n000004-0001-e90ad72949376a8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "e90ad72949376a8b31df827afa768004a4d583b3c61a98c21c36d31ca827d3f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014244-n000004.json b/manifests/batches/oproofs/s00002-r00014244-n000004.json
index c5c4d1b138b8bb7f275f07871913dba55b8ccb18..037e20a9a270700fdf3183aaaf003aa0a5b6fb28 100644
--- a/manifests/batches/oproofs/s00002-r00014244-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014244-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014244-n000004",
   "batch_fingerprint": "60d9c2676bb3a48830e3d353ac40d608b8c212242ecf123d8ee21ade16a2d89e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014244-n000004-0000-addbde0527a95097.parquet",
-      "sha256": "addbde0527a95097bb11f1e933529f6100186bff380b73697cd6daaac77386bd",
-      "bytes": 892378,
-      "rows": 18,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014244-n000004-0001-a7cbc86cf70daa45.parquet",
-      "sha256": "a7cbc86cf70daa457962310a1bd2f46bcd66eabb1ad3d0907d5c0edc67389d4a",
-      "bytes": 411672,
-      "rows": 9,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14244",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14245",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014245.lean\",\"ac01290933c51888ee6c469907d80384e6c52825de809a81bbe06c19e8aae626\",0,\"prove_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014246.lean\",\"8db8bfa267725ce2001988e96e304ea17b78441f72a18db41abfc78e74910a97\",0,\"algebra_478503\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014247.lean\",\"4c45515978f540c1eb2c2fac9f96a9dc7f5077ed543c0ceef09da08cbcbd8aeb\",0,\"algebra_463905\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 892378,
+      "path": "data/train/p78/oproofs-s00002-r00014244-n000004-0000-addbde0527a95097.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "addbde0527a95097bb11f1e933529f6100186bff380b73697cd6daaac77386bd"
+    },
+    {
+      "bytes": 411672,
+      "path": "data/train/p78/oproofs-s00002-r00014244-n000004-0001-a7cbc86cf70daa45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "a7cbc86cf70daa457962310a1bd2f46bcd66eabb1ad3d0907d5c0edc67389d4a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014248-n000004.json b/manifests/batches/oproofs/s00002-r00014248-n000004.json
index 9dddc0125c26077ce141078e77f2c10a2d1ceb37..2c64df0c6f800c00f6e172ce49096e4afc0db19c 100644
--- a/manifests/batches/oproofs/s00002-r00014248-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014248-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014248-n000004",
   "batch_fingerprint": "9ef5442a8a1ecc8143323bb513df7487834525e83f5272cca6dcddbb7180470b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014248-n000004-0000-ba18039e600d8429.parquet",
-      "sha256": "ba18039e600d84292c9ae5015c6433b07df2068726c9f3a6922c47a3658797df",
-      "bytes": 713935,
-      "rows": 24,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14248",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14249",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014249.lean\",\"3a243f1ed17c1b633250ba72977142bb6899850612309caef7450fffb78e1161\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014250.lean\",\"05e4b2db2199cc2c58f1946cb0d22a5b44c24bc45ed39fea86d8fb0b8fec1901\",0,\"algebraic_468250\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014251.lean\",\"3579e580a22f86ad2d4e3d46dd147b7459c23d99619f3109dcb2da04fe731f5f\",0,\"tan_incr\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 713935,
+      "path": "data/train/p4e/oproofs-s00002-r00014248-n000004-0000-ba18039e600d8429.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 24,
+      "sha256": "ba18039e600d84292c9ae5015c6433b07df2068726c9f3a6922c47a3658797df"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014252-n000004.json b/manifests/batches/oproofs/s00002-r00014252-n000004.json
index 0ab6df969ac205cb38238d2bbe4b126a484a8329..fb41988bb561294f104c2db73e2b2be9c8900047 100644
--- a/manifests/batches/oproofs/s00002-r00014252-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014252-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014252-n000004",
   "batch_fingerprint": "4f73989360fdc3980c7e7aeb09d423fd075f80bfdac9c92046cbba21fa17ae3e",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14252",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14253",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14254",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14255"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014252.lean\",\"9dfcbef4981c185e16ca65efbb49f62f1b68db6b28d67b8684e2cdedb893f61e\",0,\"min_of_diffs\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014253.lean\",\"d32a9ed25393453aabe9c2c8f2ba7c38d31050169fd32b4649e54e5331596e06\",0,\"algebra_509067\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014254.lean\",\"4ef3f26dad29a27671df00427c342e37643566f60c51836c3a5f78ff47958b8b\",0,\"algebraic_inequality\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014255.lean\",\"972eb6dedcd538fdadf317159c7891551a345e8779fdcbb2b55b60a2dcd99ef9\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014252-n000004-0000-38d0ea8c3835960b.parquet",
-      "sha256": "38d0ea8c3835960be4020940b223dc01b1390e7a79e9ed3b21f31247f87b1776",
       "bytes": 1024449,
+      "path": "data/train/p89/oproofs-s00002-r00014252-n000004-0000-38d0ea8c3835960b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 13,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
+      "sha256": "38d0ea8c3835960be4020940b223dc01b1390e7a79e9ed3b21f31247f87b1776"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014252-n000004-0001-9b7fc1ff52eabc26.parquet",
-      "sha256": "9b7fc1ff52eabc26b5a6fd2ff5955a48028b9e23afe07b1043d5799ff1186f93",
       "bytes": 957028,
+      "path": "data/train/p89/oproofs-s00002-r00014252-n000004-0001-9b7fc1ff52eabc26.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
+      "sha256": "9b7fc1ff52eabc26b5a6fd2ff5955a48028b9e23afe07b1043d5799ff1186f93"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014252-n000004-0002-9005c993028d3395.parquet",
-      "sha256": "9005c993028d3395688756769ee0c5b44929d1cb5b88e14052ad645d3229b3c5",
       "bytes": 1226859,
+      "path": "data/train/p89/oproofs-s00002-r00014252-n000004-0002-9005c993028d3395.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
+      "sha256": "9005c993028d3395688756769ee0c5b44929d1cb5b88e14052ad645d3229b3c5"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14252",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14253",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14254",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14255"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014252.lean\",\"9dfcbef4981c185e16ca65efbb49f62f1b68db6b28d67b8684e2cdedb893f61e\",0,\"min_of_diffs\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014253.lean\",\"d32a9ed25393453aabe9c2c8f2ba7c38d31050169fd32b4649e54e5331596e06\",0,\"algebra_509067\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014254.lean\",\"4ef3f26dad29a27671df00427c342e37643566f60c51836c3a5f78ff47958b8b\",0,\"algebraic_inequality\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014255.lean\",\"972eb6dedcd538fdadf317159c7891551a345e8779fdcbb2b55b60a2dcd99ef9\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014256-n000004.json b/manifests/batches/oproofs/s00002-r00014256-n000004.json
index d57533df9a90389872a010efc75b443de70e3bde..46eb518c31d7061cbb42836139935b79f482a05c 100644
--- a/manifests/batches/oproofs/s00002-r00014256-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014256-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014256-n000004",
   "batch_fingerprint": "38e28c085c987793911635e2b32aa91cb188a457f781141ebf27818d4b91d8a7",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014256-n000004-0000-84977dd9cb73ca4f.parquet",
-      "sha256": "84977dd9cb73ca4fd25020b0a8915204f5fccc848bd3f53b289f88e20021dfa4",
-      "bytes": 784371,
-      "rows": 18,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14256",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14257",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014257.lean\",\"8cdb1fe9c1366566ac0be778be327552d88d2e314a8aa5fcf53a24496201191a\",0,\"algebra_456789\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014258.lean\",\"2f42607737216a1328124e3830cbe96cafef1e7b1d3857672f720bcdf03b350f\",0,\"inequalities\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014259.lean\",\"35771bf58d4442657d001dd51ee3c189d9470dd80d883f7b425e31a4b5a22325\",0,\"Nat.factorial_digits\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 784371,
+      "path": "data/train/paa/oproofs-s00002-r00014256-n000004-0000-84977dd9cb73ca4f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "84977dd9cb73ca4fd25020b0a8915204f5fccc848bd3f53b289f88e20021dfa4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014260-n000004.json b/manifests/batches/oproofs/s00002-r00014260-n000004.json
index 46092e796174f6e7d0ac0d672094af00cf62b160..cc893fe321653fd7e4afe782366151761a367316 100644
--- a/manifests/batches/oproofs/s00002-r00014260-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014260-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014260-n000004",
   "batch_fingerprint": "d2a5913d17269e5ff22de7fb26a4f2074e11a7efbe73d8e96a171c714f74bff5",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14260",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14261",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14262",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14263"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014260.lean\",\"a51377273c71770fc0019181401ce5bb00ec35f60d19d3df9b872a20962080a3\",0,\"algebra_456777\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014261.lean\",\"5fb2387d61a7212d2de6e0e7a8b35303b537fc7c38410677509edccc7ec8df43\",0,\"cos_2\u03b1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014262.lean\",\"2504492279ae0f520ea6e1e36db3b778636e0a407f9d53ee0861045c6b1f9ea3\",0,\"prove\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014263.lean\",\"a459cab32a2def38391856b4d838bcf822abe86a45514493325b653d1433b81f\",0,\"qwen\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014260-n000004-0000-bf8b4f1e429036df.parquet",
-      "sha256": "bf8b4f1e429036df2a44af8d436ee98878a4560bbc90e473d2e4a25a9f6fe19d",
       "bytes": 713246,
+      "path": "data/train/p46/oproofs-s00002-r00014260-n000004-0000-bf8b4f1e429036df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 15,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "bf8b4f1e429036df2a44af8d436ee98878a4560bbc90e473d2e4a25a9f6fe19d"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014260-n000004-0001-9104ec3e8e656351.parquet",
-      "sha256": "9104ec3e8e656351d8cc6db33270d89caf965e35185bcfa21865f368caf3a0d8",
       "bytes": 709898,
+      "path": "data/train/p46/oproofs-s00002-r00014260-n000004-0001-9104ec3e8e656351.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "9104ec3e8e656351d8cc6db33270d89caf965e35185bcfa21865f368caf3a0d8"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014260-n000004-0002-075c35dd2c5886d5.parquet",
-      "sha256": "075c35dd2c5886d5f519843284bd4311cbdc8bba21281c396e0c8c8390202678",
       "bytes": 407218,
+      "path": "data/train/p46/oproofs-s00002-r00014260-n000004-0002-075c35dd2c5886d5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "075c35dd2c5886d5f519843284bd4311cbdc8bba21281c396e0c8c8390202678"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14260",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14261",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14262",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14263"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014260.lean\",\"a51377273c71770fc0019181401ce5bb00ec35f60d19d3df9b872a20962080a3\",0,\"algebra_456777\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014261.lean\",\"5fb2387d61a7212d2de6e0e7a8b35303b537fc7c38410677509edccc7ec8df43\",0,\"cos_2\u03b1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014262.lean\",\"2504492279ae0f520ea6e1e36db3b778636e0a407f9d53ee0861045c6b1f9ea3\",0,\"prove\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014263.lean\",\"a459cab32a2def38391856b4d838bcf822abe86a45514493325b653d1433b81f\",0,\"qwen\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014264-n000004.json b/manifests/batches/oproofs/s00002-r00014264-n000004.json
index 060731bae3e43ec0042aee4a27a2be423210a858..5eecf514bfe8afac763d79a78c43a9b7ad2ccf11 100644
--- a/manifests/batches/oproofs/s00002-r00014264-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014264-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014264-n000004",
   "batch_fingerprint": "d305daf8982d3f210888e53f0575c258dcf51ee15de4aca96a37ad8ea89926cb",
   "evidence": {
@@ -60,15 +59,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014264-n000004-0000-a2fcd5306c1e9c7c.parquet",
-      "sha256": "a2fcd5306c1e9c7ce29ff495925dd713fd9fd3fdeaef5e5bc38e8c9efc3b591d",
-      "bytes": 59534,
-      "rows": 8,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14266",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14267"
@@ -76,5 +67,14 @@
   "proof_keys": [
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014266.lean\",\"46db90608f5dfd5a591784fc28dfbfd97d285481d8c586884d21cf27f6b3d30e\",0,\"lean_workbook_plus_72640\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014267.lean\",\"d870178c773c350fb11c95ea86d06f81d511d1d51dcea81e768eb79725596d94\",0,\"lean_workbook_plus_48909\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 59534,
+      "path": "data/train/p64/oproofs-s00002-r00014264-n000004-0000-a2fcd5306c1e9c7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "a2fcd5306c1e9c7ce29ff495925dd713fd9fd3fdeaef5e5bc38e8c9efc3b591d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014268-n000004.json b/manifests/batches/oproofs/s00002-r00014268-n000004.json
index 5676a77b6260b00a30c5d74d66dfd11fa80dc962..f7b112daed30a0ed6d186517c3ee132530f3a703 100644
--- a/manifests/batches/oproofs/s00002-r00014268-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014268-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014268-n000004",
   "batch_fingerprint": "7ada6a0415167fd7bc1f395bb18e67df923bcdc27c525429087fae92246aaabb",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014268-n000004-0000-e838dde39b331379.parquet",
-      "sha256": "e838dde39b331379633897660c80a21eb248f4e8279d26a8bfaec8ec0472f585",
-      "bytes": 257536,
-      "rows": 25,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14268",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14269",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014269.lean\",\"baebd7156444dff9d3e4ef9d200f75efee581be92341aab1a841280f640b7a53\",0,\"lean_workbook_plus_44956\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014270.lean\",\"24fab3c0250ff4d1916cfc2d14a456271c659af9a6403a2a1f4ba19035005b57\",0,\"lean_workbook_plus_42475\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014271.lean\",\"72067015bd606a4dccb9ad756169df87dc9c1a53b0936d94d78312a327b12795\",0,\"cos_composite\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 257536,
+      "path": "data/train/p7c/oproofs-s00002-r00014268-n000004-0000-e838dde39b331379.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "e838dde39b331379633897660c80a21eb248f4e8279d26a8bfaec8ec0472f585"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014272-n000004.json b/manifests/batches/oproofs/s00002-r00014272-n000004.json
index ba221e6c5eabfff7ffcc641b5cc224db7406174e..9fd69737592909208a797f918acf42d9f80ada10 100644
--- a/manifests/batches/oproofs/s00002-r00014272-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014272-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014272-n000004",
   "batch_fingerprint": "c9213011642b5340e7ac7c3f8342092a938e48d2fc249bb23e763b557685bdb6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014272-n000004-0000-4fe01592564d6832.parquet",
-      "sha256": "4fe01592564d68329463ea0e3587a5f810e01321e42ed1b446847871e34f9718",
-      "bytes": 802500,
-      "rows": 27,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014272-n000004-0001-eeffb812289850a6.parquet",
-      "sha256": "eeffb812289850a630691960b8c08842482e9d87cd4909c0d3e1f9e74ef0c396",
-      "bytes": 117040,
-      "rows": 2,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14272",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14273",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014273.lean\",\"6258564671be4df2520e8e9a5266c6fe6e0f364c7b4cacae18e3160d5d7f2fc2\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014274.lean\",\"5cdaf739c457b61674fda0a5af51d699c458ad5103e242225d82ccbcd12b1868\",0,\"sqrt\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014275.lean\",\"dfa3aa627ca72b21e28a226b2fc6796b1b8d1899c6722a22ac56f5ac11df8309\",0,\"lean_workbook_plus_29367\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 802500,
+      "path": "data/train/p31/oproofs-s00002-r00014272-n000004-0000-4fe01592564d6832.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "4fe01592564d68329463ea0e3587a5f810e01321e42ed1b446847871e34f9718"
+    },
+    {
+      "bytes": 117040,
+      "path": "data/train/p31/oproofs-s00002-r00014272-n000004-0001-eeffb812289850a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "eeffb812289850a630691960b8c08842482e9d87cd4909c0d3e1f9e74ef0c396"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014276-n000004.json b/manifests/batches/oproofs/s00002-r00014276-n000004.json
index d7e5aa2e0f9ae729074cb9ea0369f7db1c852afb..c3f47d8f4cc7b77c7b60ed8300132b6a204817e0 100644
--- a/manifests/batches/oproofs/s00002-r00014276-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014276-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014276-n000004",
   "batch_fingerprint": "ecfd7d9703782a5b0edba7e3f4a490b14828c3d469fba9873428a7dbf8b770be",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14276",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14277",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14278",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14279"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014276.lean\",\"87601dabe17cd52f3a0bfbdf762a82206c8891fc824dc619f7b5dfb7c2a95df6\",0,\"sumOfDigits\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014277.lean\",\"70843513c123f4c2fb70687ff395e39770a489ebc8a13d08832eda912be56bd1\",0,\"algebra1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014278.lean\",\"a247e38aa3066e474766d17172141ed66d6ed82532ebe3f7dbcc0d4deb993dd4\",0,\"qwen\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014279.lean\",\"95a0b0543eda4f5d64e667af6114ac57d9bb722ac43907b09f762bee5acc0b28\",0,\"max_value\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014276-n000004-0000-1b51b202dab5a8ce.parquet",
-      "sha256": "1b51b202dab5a8ce7e405b1f6f762b08148b1e147538a04bce0a1f141c177548",
       "bytes": 122888,
+      "path": "data/train/p95/oproofs-s00002-r00014276-n000004-0000-1b51b202dab5a8ce.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
+      "sha256": "1b51b202dab5a8ce7e405b1f6f762b08148b1e147538a04bce0a1f141c177548"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014276-n000004-0000-85ec5af646e0a905.parquet",
-      "sha256": "85ec5af646e0a90531f117894faba59035e89b33955b73a6a1e4cbfc0322c880",
       "bytes": 242818,
+      "path": "data/dev/p95/oproofs-s00002-r00014276-n000004-0000-85ec5af646e0a905.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
+      "sha256": "85ec5af646e0a90531f117894faba59035e89b33955b73a6a1e4cbfc0322c880"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014276-n000004-0000-1f690a7aa9ffdde2.parquet",
-      "sha256": "1f690a7aa9ffdde2daed550a2ba35cd8b01993c913cbd6d04de8c705c75f4494",
       "bytes": 94535,
+      "path": "data/internal_test/p95/oproofs-s00002-r00014276-n000004-0000-1f690a7aa9ffdde2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
+      "sha256": "1f690a7aa9ffdde2daed550a2ba35cd8b01993c913cbd6d04de8c705c75f4494"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14276",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14277",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14278",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14279"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014276.lean\",\"87601dabe17cd52f3a0bfbdf762a82206c8891fc824dc619f7b5dfb7c2a95df6\",0,\"sumOfDigits\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014277.lean\",\"70843513c123f4c2fb70687ff395e39770a489ebc8a13d08832eda912be56bd1\",0,\"algebra1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014278.lean\",\"a247e38aa3066e474766d17172141ed66d6ed82532ebe3f7dbcc0d4deb993dd4\",0,\"qwen\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014279.lean\",\"95a0b0543eda4f5d64e667af6114ac57d9bb722ac43907b09f762bee5acc0b28\",0,\"max_value\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014280-n000004.json b/manifests/batches/oproofs/s00002-r00014280-n000004.json
index 7bc3a9a411d1a49f96ee8b946f8c4e1f6595108d..c006c19f37cf660211f1a37e984d377e1d68c8f4 100644
--- a/manifests/batches/oproofs/s00002-r00014280-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014280-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014280-n000004",
   "batch_fingerprint": "ddab50ef6a3eeb0db7e248dd598e8ce3ff19c89ed46d2423450ccb78e1b5ed98",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014280-n000004-0000-8696f6f4e2c80c84.parquet",
-      "sha256": "8696f6f4e2c80c8414ecf64c2e5dc387f8b9383a8ee2fbc776123a9d4e704e01",
-      "bytes": 811814,
-      "rows": 27,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014280-n000004-0001-2351f2396427b91e.parquet",
-      "sha256": "2351f2396427b91e195600c4f9fffc944036b875634e6c75abda057cbe3122e4",
-      "bytes": 546039,
-      "rows": 2,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14280",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14281",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014281.lean\",\"f189c0b31e4332c4836a8c9553e1f86816969058c106e42e5e19d145be8d2c1f\",0,\"qwen\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014282.lean\",\"a7c7a890402e77aa28e8b109eff5a0e078afb80c7f4d72ce8d2eff136b066110\",0,\"algebra_461951\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014283.lean\",\"6cc6a6ae06c3c49ad3db69f18125110a595c111066254c7eb4ceb069bd203d3b\",0,\"algebra_486712\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 811814,
+      "path": "data/train/p04/oproofs-s00002-r00014280-n000004-0000-8696f6f4e2c80c84.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "8696f6f4e2c80c8414ecf64c2e5dc387f8b9383a8ee2fbc776123a9d4e704e01"
+    },
+    {
+      "bytes": 546039,
+      "path": "data/train/p04/oproofs-s00002-r00014280-n000004-0001-2351f2396427b91e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "2351f2396427b91e195600c4f9fffc944036b875634e6c75abda057cbe3122e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014284-n000004.json b/manifests/batches/oproofs/s00002-r00014284-n000004.json
index 690c57069f321dcfdb377795bd17b3f5d9a1da36..76f4544939ef177e84a7fe7fcf3f4734cbc86ee9 100644
--- a/manifests/batches/oproofs/s00002-r00014284-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014284-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014284-n000004",
   "batch_fingerprint": "0444e26e3d758d5a6a85e813ac09fa8a95d143e655e9e36d476b0cbb3ca75049",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014284-n000004-0000-accdaeccfde9cbc9.parquet",
-      "sha256": "accdaeccfde9cbc9299237b7b305c92c30fe935c5fa0bc19fb645a5dac2ff5d9",
-      "bytes": 191988,
-      "rows": 5,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014284-n000004-0000-0ca8891cd0856bae.parquet",
-      "sha256": "0ca8891cd0856baee71abcc4e2902695d5394f3663f1187154bdbfb51d3998a7",
-      "bytes": 504905,
-      "rows": 7,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14284",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14285",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014285.lean\",\"83ca61522e3651f4171e6cfac3d6346350da20384ae3b905ec6bb39c64644365\",0,\"prove\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014286.lean\",\"1d7bf2ad7dbd9f24f62b361d038bc67fcd2d7011325d3324644d81457f9fb99f\",0,\"exists_irrational_power_rational\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014287.lean\",\"57913fd0d42568f49ff4317d1ec14e20da39f1ee4ed291db2f96c356d7dca342\",0,\"primitive_pythagorean_triple_mod_four\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 191988,
+      "path": "data/train/p14/oproofs-s00002-r00014284-n000004-0000-accdaeccfde9cbc9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "accdaeccfde9cbc9299237b7b305c92c30fe935c5fa0bc19fb645a5dac2ff5d9"
+    },
+    {
+      "bytes": 504905,
+      "path": "data/internal_test/p14/oproofs-s00002-r00014284-n000004-0000-0ca8891cd0856bae.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0ca8891cd0856baee71abcc4e2902695d5394f3663f1187154bdbfb51d3998a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014288-n000004.json b/manifests/batches/oproofs/s00002-r00014288-n000004.json
index 1c6b5afab82a7145c9fdd688010153b1971eadfa..b87242350630ff90baf47d7ac8dfc63737b97333 100644
--- a/manifests/batches/oproofs/s00002-r00014288-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014288-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014288-n000004",
   "batch_fingerprint": "2a01397a3ed261c41bf1254a7aeb97e05da847bf1a9756f42350764973df93c0",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014288-n000004-0000-7efda9d09c73a7c6.parquet",
-      "sha256": "7efda9d09c73a7c65e86328522c177fc0c1b34beacc00c17e10ed87aac1fef9f",
-      "bytes": 1001829,
-      "rows": 14,
-      "revision": "41edcc29c9566fcba536ff8aa807d762f78ae7c4"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14288",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14289",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014289.lean\",\"8f02fa341e4f19d8523c936c471a0ff8f666a523966645c27ea6ebb116592bb5\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014290.lean\",\"ab0f0f81c3d1a86831d734fef2f6fd5118b901bf1afeb8d6ef9e8eec6f6b3d19\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014291.lean\",\"b6902d07b707ccbc77de8c773d40dbfea64b4ddafd1b3706092d9c89cf9ed313\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1001829,
+      "path": "data/train/pec/oproofs-s00002-r00014288-n000004-0000-7efda9d09c73a7c6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "7efda9d09c73a7c65e86328522c177fc0c1b34beacc00c17e10ed87aac1fef9f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014292-n000004.json b/manifests/batches/oproofs/s00002-r00014292-n000004.json
index fac91b69cdaa43490b06b0a1d6c205b61057cabf..222b3da0304a7c173d63b840e0fa5e857578e2b5 100644
--- a/manifests/batches/oproofs/s00002-r00014292-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014292-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014292-n000004",
   "batch_fingerprint": "668c723789d9afe3bd2a26ed5bcf7528aba36705be815f501197f8d81faae6f8",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014292-n000004-0000-9d96c1e813d69f3f.parquet",
-      "sha256": "9d96c1e813d69f3f9b8e7216e74bd50e6d51c8232630642904c1f9b0e3a8da7d",
-      "bytes": 562327,
-      "rows": 14,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014292-n000004-0001-8a13b72e61e62798.parquet",
-      "sha256": "8a13b72e61e6279896a2fe69b8170b3d82ab6a4a816309f0a36b17e12b4712fa",
-      "bytes": 1203295,
-      "rows": 12,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14292",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14293",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014293.lean\",\"0793c2493d05b9a208a090e13d069a14a20fd7a99d452121cf68101cb5f04653\",0,\"base_2_to_base_4\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014294.lean\",\"b63d4a6c64b62aaca379a8290aaf5b69a4bff9868d177e033fe0dccf02c64754\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014295.lean\",\"d74308e9be8c666bf4428e81c948460e1e4e01f87f438632b7f7797311241b6c\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 562327,
+      "path": "data/train/p3b/oproofs-s00002-r00014292-n000004-0000-9d96c1e813d69f3f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "9d96c1e813d69f3f9b8e7216e74bd50e6d51c8232630642904c1f9b0e3a8da7d"
+    },
+    {
+      "bytes": 1203295,
+      "path": "data/train/p3b/oproofs-s00002-r00014292-n000004-0001-8a13b72e61e62798.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "8a13b72e61e6279896a2fe69b8170b3d82ab6a4a816309f0a36b17e12b4712fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014296-n000004.json b/manifests/batches/oproofs/s00002-r00014296-n000004.json
index 7b46a8f6a614f512d8475ff9bcb5f381a98a726b..4c40ac82d4c9a758cb2ff3260a371a85db9b459d 100644
--- a/manifests/batches/oproofs/s00002-r00014296-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014296-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014296-n000004",
   "batch_fingerprint": "6531d79ad925546e179a9de8339d47811d5f5a1a8c7766f88ffaf296c313c283",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014296-n000004-0000-d088d2ad3ca52cac.parquet",
-      "sha256": "d088d2ad3ca52cac4bb595274a9e3fb3046f3dee62a8d8a263b8bc573c70ca0b",
-      "bytes": 694654,
-      "rows": 14,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014296-n000004-0001-00f9710524d08063.parquet",
-      "sha256": "00f9710524d08063dc12aee671655b8ce05ffc2b835614ae01331320756578d3",
-      "bytes": 1016443,
-      "rows": 6,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14296",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14297",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014297.lean\",\"053a738fd4d432b2181e9029fdcf2ae8904936ec26852919767a910f3e1403f5\",0,\"not_exists_f_g\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014298.lean\",\"ab3972ab987be9e95d5bfcacb02cba2befa4bed162c158bd6018ccf1aad2f154\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014299.lean\",\"19036f3d964d55a8761aa6af9d7f6e81a3d779653b35fc64bdc207c7da305b08\",0,\"no_discontinuous_function_with_properties\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 694654,
+      "path": "data/train/p60/oproofs-s00002-r00014296-n000004-0000-d088d2ad3ca52cac.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "d088d2ad3ca52cac4bb595274a9e3fb3046f3dee62a8d8a263b8bc573c70ca0b"
+    },
+    {
+      "bytes": 1016443,
+      "path": "data/train/p60/oproofs-s00002-r00014296-n000004-0001-00f9710524d08063.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "00f9710524d08063dc12aee671655b8ce05ffc2b835614ae01331320756578d3"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014300-n000004.json b/manifests/batches/oproofs/s00002-r00014300-n000004.json
index 79c770309d2c278dbbccec2f8043fb781f29007b..739a8f1ef336b3168227b945d669d40320dccbe5 100644
--- a/manifests/batches/oproofs/s00002-r00014300-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014300-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014300-n000004",
   "batch_fingerprint": "e98eb41c695afb8670c7db26cdcd8ab821a156deb202f80eeff846ed773e40c1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014300-n000004-0000-47ff51655eef337f.parquet",
-      "sha256": "47ff51655eef337f81cef1afc6786f3c072d1af21b00f39e40a7cced37bb8539",
-      "bytes": 461704,
-      "rows": 6,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014300-n000004-0001-f9cada27787f6365.parquet",
-      "sha256": "f9cada27787f6365b49b4216a001bb039d196bed2b4899addbceef6be1de93a9",
-      "bytes": 933898,
-      "rows": 6,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14300",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14301",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014301.lean\",\"98e12203f4807320851453b71b5f256604742e5da73748789a1032c51c672f95\",0,\"lim_f_at_3\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014302.lean\",\"83f8c919ec4eb9f5903bed61a7e9740e2d1ffe6cee5251c7063c796cad9bd75b\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014303.lean\",\"c68491f35419a12833cbe61ee43cc5f41981c71542fde660e4be9b5be36b5ee8\",0,\"exist_poly_for_seq\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 461704,
+      "path": "data/train/pe7/oproofs-s00002-r00014300-n000004-0000-47ff51655eef337f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "47ff51655eef337f81cef1afc6786f3c072d1af21b00f39e40a7cced37bb8539"
+    },
+    {
+      "bytes": 933898,
+      "path": "data/train/pe7/oproofs-s00002-r00014300-n000004-0001-f9cada27787f6365.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "f9cada27787f6365b49b4216a001bb039d196bed2b4899addbceef6be1de93a9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014304-n000004.json b/manifests/batches/oproofs/s00002-r00014304-n000004.json
index eaaa312d55ed531f12d5e192a19358d9b8238401..6c6e776d8f202ae1ab063d9cfd1645f6777e4202 100644
--- a/manifests/batches/oproofs/s00002-r00014304-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014304-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014304-n000004",
   "batch_fingerprint": "456987ccd847b91f23781901ef9917baad944de34ecaf77a16d8ad19500617f2",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014304-n000004-0000-f8d392cade61f0ee.parquet",
-      "sha256": "f8d392cade61f0eebf712a787f04be7a32b12ce7a2f8f42540e7662ad107be74",
-      "bytes": 820130,
-      "rows": 16,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14304",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14305",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014305.lean\",\"6cdac8852863722b29d55b4d56465891cc504f58ce3fab9502e78a7cbfd49d02\",0,\"tan_product_identity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014306.lean\",\"723342bc60888a2edf20c8fe3325b20eb3854112b0598ceacc82c89f2f6b10fc\",0,\"has_exactly_n_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014307.lean\",\"434dc44ba33100e7d2dd1723f74d27e4a094833d27be7d6fce6219f1b0cdecd2\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 820130,
+      "path": "data/train/pd7/oproofs-s00002-r00014304-n000004-0000-f8d392cade61f0ee.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f8d392cade61f0eebf712a787f04be7a32b12ce7a2f8f42540e7662ad107be74"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014308-n000004.json b/manifests/batches/oproofs/s00002-r00014308-n000004.json
index 05ad2387e7f430bafb663c67c0905602c5518faa..40caa98653235be4b6ecbeafc6e6419589179f3a 100644
--- a/manifests/batches/oproofs/s00002-r00014308-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014308-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014308-n000004",
   "batch_fingerprint": "3afaf281ca7a16b863c197a36d8a4f280a031467ad5d0d41d9486e89cc1243e3",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014308-n000004-0000-f59879898e6fcd48.parquet",
-      "sha256": "f59879898e6fcd482b9adbba5401e0c627940c552026af344ca36af1ebd8ace8",
-      "bytes": 959235,
-      "rows": 25,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14308",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14309",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014309.lean\",\"ff3af6f8be0a2234e0cedebc9badd908bb92626ea0b963abd4f44db7843ff423\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014310.lean\",\"e709f9f436f7414f102635793b8076b5dcde447e31c3d1c80a6d33755d0fc832\",0,\"nine_roots_on_line\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014311.lean\",\"4ebae0a0f3bc8a5eae608f610a8a2e7213f4b2520b4ceaa3c5659f61785ee473\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 959235,
+      "path": "data/train/pc7/oproofs-s00002-r00014308-n000004-0000-f59879898e6fcd48.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 25,
+      "sha256": "f59879898e6fcd482b9adbba5401e0c627940c552026af344ca36af1ebd8ace8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014312-n000004.json b/manifests/batches/oproofs/s00002-r00014312-n000004.json
index 0c6ad873ebf95efc2d7c45505e08edbee8939936..6fc9d19231515f38373bf71590a540d2980cefa0 100644
--- a/manifests/batches/oproofs/s00002-r00014312-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014312-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014312-n000004",
   "batch_fingerprint": "e3326b1a9079922aa163a107e84ce28a9fbc1c2affe3ec123ecda4e929bc14a7",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14312",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14313",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14314",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14315"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014312.lean\",\"94946052d5c73d2d0b586abcadd58327c07c9423702af71781ab63a024b4e858\",0,\"max_A\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014313.lean\",\"81a2fee3f7f996693676dab5264b4e0ee9872c435610afb606228799588914b3\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014314.lean\",\"44ccc0a4b8966a96b3ab8f16524962fa51023af6331271283f4eeb3fce107e1b\",0,\"caesar_order\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014315.lean\",\"23b0dc61c82c747352f26c4e69e09f70ec5834dbdec4410aebef7ae920706546\",0,\"series_converges\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014312-n000004-0000-1765bd429d88878b.parquet",
-      "sha256": "1765bd429d88878b5aba5669c5f5ec0eff97f3b9d4fb62686c3aeed554f5e71f",
       "bytes": 116177,
+      "path": "data/train/pcc/oproofs-s00002-r00014312-n000004-0000-1765bd429d88878b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "1765bd429d88878b5aba5669c5f5ec0eff97f3b9d4fb62686c3aeed554f5e71f"
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     {
-      "path": "data/dev/oproofs-s00002-r00014312-n000004-0000-3add720ebe8b9af7.parquet",
-      "sha256": "3add720ebe8b9af7e088c99e8bffe185560bf07013f935798f16065285cacba5",
       "bytes": 115826,
+      "path": "data/dev/pcc/oproofs-s00002-r00014312-n000004-0000-3add720ebe8b9af7.parquet",
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       "rows": 2,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "3add720ebe8b9af7e088c99e8bffe185560bf07013f935798f16065285cacba5"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014312-n000004-0000-bd3eb1794ce65688.parquet",
-      "sha256": "bd3eb1794ce656881ed75287da15f6e689dd8e08f05b241aff69ebf5f2c84008",
       "bytes": 1119835,
+      "path": "data/internal_test/pcc/oproofs-s00002-r00014312-n000004-0000-bd3eb1794ce65688.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 12,
-      "revision": "ed1c02a148e4cb014226f5b9acd82fb840ed7e7f"
+      "sha256": "bd3eb1794ce656881ed75287da15f6e689dd8e08f05b241aff69ebf5f2c84008"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14312",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14313",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14314",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14315"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014312.lean\",\"94946052d5c73d2d0b586abcadd58327c07c9423702af71781ab63a024b4e858\",0,\"max_A\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014313.lean\",\"81a2fee3f7f996693676dab5264b4e0ee9872c435610afb606228799588914b3\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014314.lean\",\"44ccc0a4b8966a96b3ab8f16524962fa51023af6331271283f4eeb3fce107e1b\",0,\"caesar_order\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014315.lean\",\"23b0dc61c82c747352f26c4e69e09f70ec5834dbdec4410aebef7ae920706546\",0,\"series_converges\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014316-n000004.json b/manifests/batches/oproofs/s00002-r00014316-n000004.json
index f27057c461d2d78f963002e0ec5e8dc780fc20c9..2f294db20595c417fdbbbf54a362891c50f25166 100644
--- a/manifests/batches/oproofs/s00002-r00014316-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014316-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014316-n000004",
   "batch_fingerprint": "c7e8216efde0b11908f57b8e9768e42efd219d15b06446d2ae0e1b60139d211c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014316-n000004-0000-452a25b81b6ddda9.parquet",
-      "sha256": "452a25b81b6ddda9d43814f3623d1fccc51c73290bbdf35c82d2f99f8bec98b4",
-      "bytes": 430905,
-      "rows": 18,
-      "revision": "a763f4409e70e059c8949ffd530c6a64f1d55854"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14316",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14317",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014317.lean\",\"1a596a01e29c18eab317fc3ecd97e1bc529a78768bd2c47113ac2928b76ffa58\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014318.lean\",\"63716f92aa8ab7ce8cf5000fce212110f1715bfc94fc69afddd1ca7d2cf57da9\",0,\"exists_t_in_range\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014319.lean\",\"573172e5ce7b95609be499c81197f1ecf469105a6664335620a88d06a2c9c61e\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 430905,
+      "path": "data/train/pcb/oproofs-s00002-r00014316-n000004-0000-452a25b81b6ddda9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "452a25b81b6ddda9d43814f3623d1fccc51c73290bbdf35c82d2f99f8bec98b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014320-n000004.json b/manifests/batches/oproofs/s00002-r00014320-n000004.json
index a81860e913afe7cf709305179c6ad4ab16336ae9..20bc2ab6c15260df88a6796f212f1ca2d4bd6529 100644
--- a/manifests/batches/oproofs/s00002-r00014320-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014320-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014320-n000004",
   "batch_fingerprint": "0e42b5cd2be6dbd000940bff8c13c844dc10d0ce9949c97bdf751d00664f9d03",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014320-n000004-0000-04203c1fc6070bc8.parquet",
-      "sha256": "04203c1fc6070bc88e43e43ba531a7756ecbcdf7433232fb928e7705a483e970",
-      "bytes": 961528,
-      "rows": 11,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014320-n000004-0001-0f60f911996f1be9.parquet",
-      "sha256": "0f60f911996f1be9949a9fc25d31e604f989af754c1739df78cd1869862a18e8",
-      "bytes": 150539,
-      "rows": 7,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14320",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14321",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014321.lean\",\"b5b41bc895412a4956dd00e49b5b9be43f57dd9cfd058c9bfd6dbc9322b80177\",0,\"exists_three_integers\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014322.lean\",\"810b9af55c36cdde5afa789649d5eb0d0f2d5d3aa69ed4c2217118160c36667f\",0,\"units_digit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014323.lean\",\"00737616c23a15f4722dacd757dae804c71174bfb085521a83e2e84757ff3db9\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 961528,
+      "path": "data/train/p61/oproofs-s00002-r00014320-n000004-0000-04203c1fc6070bc8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "04203c1fc6070bc88e43e43ba531a7756ecbcdf7433232fb928e7705a483e970"
+    },
+    {
+      "bytes": 150539,
+      "path": "data/train/p61/oproofs-s00002-r00014320-n000004-0001-0f60f911996f1be9.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "0f60f911996f1be9949a9fc25d31e604f989af754c1739df78cd1869862a18e8"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014324-n000004.json b/manifests/batches/oproofs/s00002-r00014324-n000004.json
index 90bc71510776a70097ac5f0000e0e26ca2063380..d0958b0f76f6434d44fb605eb176ed8eb7f86a25 100644
--- a/manifests/batches/oproofs/s00002-r00014324-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014324-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014324-n000004",
   "batch_fingerprint": "0c4b3bf3b6577381056708b51a880724df95b0773e4bf5962ddd35345199e189",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014324-n000004-0000-6f830c8c0aab0947.parquet",
-      "sha256": "6f830c8c0aab09478c42f5a362a268541b568748f5e4db5fc917ba18b049294e",
-      "bytes": 358636,
-      "rows": 14,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14324",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14325",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014325.lean\",\"784685951df69129560ec3cda6b15213f8685a2191657e86b32f277afcdc3563\",0,\"integral_example\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014326.lean\",\"4c0f6d1ef67277cee11c79b4ba8b779e2d1658a5f66a3a94c98bbab7764cea11\",0,\"ZA_perp_ZC\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014327.lean\",\"fdd1342dbbd2a7d40f08792b1f9baa80a52577172be55dca84ba06b4dfb92a85\",0,\"exists_fixed_point\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 358636,
+      "path": "data/train/p96/oproofs-s00002-r00014324-n000004-0000-6f830c8c0aab0947.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "6f830c8c0aab09478c42f5a362a268541b568748f5e4db5fc917ba18b049294e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014328-n000004.json b/manifests/batches/oproofs/s00002-r00014328-n000004.json
index 47e5d2d9a9732ff3f8cceb2992008e41784d225f..78fc8b72680c589694bbf0bb56e3df3a4eae4c8b 100644
--- a/manifests/batches/oproofs/s00002-r00014328-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014328-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014328-n000004",
   "batch_fingerprint": "be35c073137a8e122a5a2dd06cb954901575238d6803a1c2da27d4380b30c5d1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014328-n000004-0000-8e3c7bab86f8adf2.parquet",
-      "sha256": "8e3c7bab86f8adf24ada5e815cafa7ac13b2e15018b5bb101a2737feab103ddf",
-      "bytes": 1195586,
-      "rows": 28,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014328-n000004-0001-69b77ccc4b2fc984.parquet",
-      "sha256": "69b77ccc4b2fc984504d109d823d9303805003bd008a1765b5d98e57a0589c97",
-      "bytes": 932301,
-      "rows": 11,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14328",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14329",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014329.lean\",\"fd1c5286cc5cf002bb1378ec8044a3a35bf3f3cb00f69e0f66015741e86d52f2\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014330.lean\",\"931a30205249f09fdea45174faf59b62114b8e992ada5e7f4b6836f39ecd3fa9\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014331.lean\",\"8a2a3ffe51d64580fcde75fa49c1837d00f626acef6f6db56da73fb1c7111903\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1195586,
+      "path": "data/train/p83/oproofs-s00002-r00014328-n000004-0000-8e3c7bab86f8adf2.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 28,
+      "sha256": "8e3c7bab86f8adf24ada5e815cafa7ac13b2e15018b5bb101a2737feab103ddf"
+    },
+    {
+      "bytes": 932301,
+      "path": "data/train/p83/oproofs-s00002-r00014328-n000004-0001-69b77ccc4b2fc984.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "69b77ccc4b2fc984504d109d823d9303805003bd008a1765b5d98e57a0589c97"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014332-n000004.json b/manifests/batches/oproofs/s00002-r00014332-n000004.json
index 881a3dc240242b90628ad10f99eff54429932cd3..7956d83f35d5c9a7b73cd54eb4fa07e9dbc7ebf1 100644
--- a/manifests/batches/oproofs/s00002-r00014332-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014332-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014332-n000004",
   "batch_fingerprint": "3c6d7713084bbcfc8a3fc2ee5542197a7b00bff679e64d6451bd2ad30f9c1860",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014332-n000004-0000-f017896f7cd6e0fa.parquet",
-      "sha256": "f017896f7cd6e0fa684d5a5492150a07ba9612003797af3d624df728e6f523b6",
-      "bytes": 515542,
-      "rows": 15,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014332-n000004-0000-f20585ab7ed1d8f7.parquet",
-      "sha256": "f20585ab7ed1d8f7540a9e65c68b728919b45b6f13b610ddd17c5dc59534427b",
-      "bytes": 228895,
-      "rows": 3,
-      "revision": "980d68922fe9bba51bfda89ed650df98d5b0c80a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14332",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14333",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014333.lean\",\"6bd561aac7a70da7313ef8b10695c0c79349a5188963b265abd3c63689158ec4\",0,\"sum_cubes_eq_square_sum\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014334.lean\",\"c7eb3ea3d117a1a79c65efeca223b3db36c0318daa23746f0284720ed8f274b3\",0,\"gcd_sum_variants\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014335.lean\",\"03f2ac08f1b707b3fc2a9cad60a6a95300e0ee3bd8b5ec6654bf5a9245d6b388\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 515542,
+      "path": "data/train/pe8/oproofs-s00002-r00014332-n000004-0000-f017896f7cd6e0fa.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "f017896f7cd6e0fa684d5a5492150a07ba9612003797af3d624df728e6f523b6"
+    },
+    {
+      "bytes": 228895,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00014332-n000004-0000-f20585ab7ed1d8f7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f20585ab7ed1d8f7540a9e65c68b728919b45b6f13b610ddd17c5dc59534427b"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014336-n000004.json b/manifests/batches/oproofs/s00002-r00014336-n000004.json
index aaa6307045925983906066b861bda2046bff881a..4dabcc983d979ed370cecf16b801a4603b53b358 100644
--- a/manifests/batches/oproofs/s00002-r00014336-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014336-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014336-n000004",
   "batch_fingerprint": "20687fc6da5ecde91ef80d01602405e9a1ae83046bf1c0c30984448682541211",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014336-n000004-0000-8136ae880bba19cd.parquet",
-      "sha256": "8136ae880bba19cd631c314a3a0abf0170f290e55081769bc16742c4ff049a3f",
-      "bytes": 443229,
-      "rows": 11,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14336",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14338",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014336.lean\",\"0b00b67479c59cefbf0dbdc88fe7cf66cbc4450083033928f8a0102c7a568d42\",0,\"problem1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014338.lean\",\"d4edccf10c8ab4dd48c11979713e735352896b8eda1df784fc9e65d099865b4f\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014339.lean\",\"0b7c4b82888756166f04a05dd2f8f45c3d193eb0fa8bfba72b6e6e7c4f41bc2a\",0,\"disjoint_neighborhoods\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 443229,
+      "path": "data/train/p90/oproofs-s00002-r00014336-n000004-0000-8136ae880bba19cd.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "8136ae880bba19cd631c314a3a0abf0170f290e55081769bc16742c4ff049a3f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014340-n000004.json b/manifests/batches/oproofs/s00002-r00014340-n000004.json
index 188d04959794f6a30596c09eebd5c9a32792badf..7ff3f2e1bb498ac27f6ad3ec31fc766ced29b6f5 100644
--- a/manifests/batches/oproofs/s00002-r00014340-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014340-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014340-n000004",
   "batch_fingerprint": "610b79e220147d2e1f9c8c716e366abcde8daaf8f36b56ace31a94ac2a523442",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014340-n000004-0000-e5f6154ac958e2f5.parquet",
-      "sha256": "e5f6154ac958e2f5f6c20da35a05fffebfd9a80382201079dcaf01506360376a",
-      "bytes": 836562,
-      "rows": 9,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014340-n000004-0001-e64e3bacb92869b5.parquet",
-      "sha256": "e64e3bacb92869b5f72aba49fc1946bdf2aa6f1c640427aa09a911b18a43de29",
-      "bytes": 1076835,
-      "rows": 36,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14340",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14341",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014341.lean\",\"d1b1e4bb4db3f571a64d26d6a2a0de8b22a1362d85fd01001456639c2b9a8ea0\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014342.lean\",\"f33f887c6593307ec69aa1a9cbe71fb65d55109232f691bdbd0c79279eb6ab0a\",0,\"min_area_ellipse\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014343.lean\",\"3fa97f9bf25c0f95b1149479c545679bcb808b958238e2ef136eef2e73b5f3cd\",0,\"sequence_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 836562,
+      "path": "data/train/p86/oproofs-s00002-r00014340-n000004-0000-e5f6154ac958e2f5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "e5f6154ac958e2f5f6c20da35a05fffebfd9a80382201079dcaf01506360376a"
+    },
+    {
+      "bytes": 1076835,
+      "path": "data/train/p86/oproofs-s00002-r00014340-n000004-0001-e64e3bacb92869b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 36,
+      "sha256": "e64e3bacb92869b5f72aba49fc1946bdf2aa6f1c640427aa09a911b18a43de29"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014344-n000004.json b/manifests/batches/oproofs/s00002-r00014344-n000004.json
index 21985f3dbf15265701f287add6a4c9896ce2578c..65b4085c8f5ce915cdaee2b818a474b543b27b48 100644
--- a/manifests/batches/oproofs/s00002-r00014344-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014344-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014344-n000004",
   "batch_fingerprint": "11aa4372d199e74c12659dcd9158ada34f779cadcec0ff4dda55982b332fb152",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014344-n000004-0000-108f3ba0e101789b.parquet",
-      "sha256": "108f3ba0e101789bbe9933bfcadc799cf2689770c423d9fe892280634e85cbe6",
-      "bytes": 1126950,
-      "rows": 18,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14344",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14345",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014345.lean\",\"3dcd1cf4c06aa918d5dcf6643453a9fc5f91de276af10ddd28f1d60f90ca2d15\",0,\"max_sum_ratios\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014346.lean\",\"fe53c5acaf07cfc7e067a3b333287172f0c2aefd11ee3952fdac6b1d1ac9a25a\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014347.lean\",\"2be35cecb90c046cd2dccde31af67a8bd4c95065e5b20b02efe0fb9655d00074\",0,\"matrix_pow_identity\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1126950,
+      "path": "data/train/pa1/oproofs-s00002-r00014344-n000004-0000-108f3ba0e101789b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "108f3ba0e101789bbe9933bfcadc799cf2689770c423d9fe892280634e85cbe6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014348-n000004.json b/manifests/batches/oproofs/s00002-r00014348-n000004.json
index 13bbef9ddbafffb89eb71aa0008f1eb7d567d85b..532effce209b07b0b8f17412b437abc4ac83ca8f 100644
--- a/manifests/batches/oproofs/s00002-r00014348-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014348-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014348-n000004",
   "batch_fingerprint": "4049155c1dfb738304a73a3a69cad3ec8a067fed4cc10824c5e3bf0cebd6adac",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14348",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14349",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14350",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14351"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014348.lean\",\"9f7b930d0e977aed042525a2ed880c1b401c8f474dbb737408135b3001042d90\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014349.lean\",\"9d57abb52e331f876c960235a93521443c181a6b373e0b00ced80f1d91af7147\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014350.lean\",\"ed3686767eb04dbf134de61171511aeb7dcc468cf4f5e5aac907f0c7166f66fd\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014351.lean\",\"2f7f0b00ed63fab17e09b56fe2b64c4478c733ee851d75c2fd100364aa77ac50\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014348-n000004-0000-323b4b1bb9e081a8.parquet",
-      "sha256": "323b4b1bb9e081a87bf1fd37e06a72b830e8d5705bbda807eafdf245e241f64f",
       "bytes": 1027127,
+      "path": "data/train/p79/oproofs-s00002-r00014348-n000004-0000-323b4b1bb9e081a8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 17,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "323b4b1bb9e081a87bf1fd37e06a72b830e8d5705bbda807eafdf245e241f64f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014348-n000004-0000-f53e6e462ba889db.parquet",
-      "sha256": "f53e6e462ba889dba7cb60c75dc8e471481f094db6a86084bdbd775274ffe00e",
       "bytes": 96143,
+      "path": "data/dev/p79/oproofs-s00002-r00014348-n000004-0000-f53e6e462ba889db.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "f53e6e462ba889dba7cb60c75dc8e471481f094db6a86084bdbd775274ffe00e"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014348-n000004-0000-ae2bcc110f8c923a.parquet",
-      "sha256": "ae2bcc110f8c923a91739febdd47e5ec4f8199b9609d6ea84b9576b7f22d30c2",
       "bytes": 134530,
+      "path": "data/internal_test/p79/oproofs-s00002-r00014348-n000004-0000-ae2bcc110f8c923a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "ae2bcc110f8c923a91739febdd47e5ec4f8199b9609d6ea84b9576b7f22d30c2"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14348",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14349",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14350",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14351"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014348.lean\",\"9f7b930d0e977aed042525a2ed880c1b401c8f474dbb737408135b3001042d90\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014349.lean\",\"9d57abb52e331f876c960235a93521443c181a6b373e0b00ced80f1d91af7147\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014350.lean\",\"ed3686767eb04dbf134de61171511aeb7dcc468cf4f5e5aac907f0c7166f66fd\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014351.lean\",\"2f7f0b00ed63fab17e09b56fe2b64c4478c733ee851d75c2fd100364aa77ac50\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014352-n000004.json b/manifests/batches/oproofs/s00002-r00014352-n000004.json
index 71e1204ff96f5db3fa3baea511e441295e3f4c18..9a5415b23b996a926a9208f2669f1547b21e383b 100644
--- a/manifests/batches/oproofs/s00002-r00014352-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014352-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014352-n000004",
   "batch_fingerprint": "59f0671baa341ebfbe6a958daf0fda477659292b723288bc6602e1a82e8f583c",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014352-n000004-0000-1f49117fcf79a07e.parquet",
-      "sha256": "1f49117fcf79a07eb4ac104f7761376284f2d9a4066e6056726bbba04f72600a",
-      "bytes": 1020578,
-      "rows": 19,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014352-n000004-0001-5ade5ef8d38981df.parquet",
-      "sha256": "5ade5ef8d38981df675175944047372675a9eb7ce9d8193bac109b325c226af4",
-      "bytes": 707064,
-      "rows": 6,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14352",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14353",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014353.lean\",\"cad5cbbe92c1b9761d4eb1c33a191e4f822b3f582400282b12f509e9640ccdf1\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014354.lean\",\"833aa01da9507459b47e3813aa8720572d6286aa6d51a0afb694080bc573ffce\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014355.lean\",\"ec84a9ce3a95c68adb623bc47627ab3e7320dfcd030ede646346b41e93d3b630\",0,\"sum_of_reciprocals_ge_half\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1020578,
+      "path": "data/train/p1a/oproofs-s00002-r00014352-n000004-0000-1f49117fcf79a07e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1f49117fcf79a07eb4ac104f7761376284f2d9a4066e6056726bbba04f72600a"
+    },
+    {
+      "bytes": 707064,
+      "path": "data/train/p1a/oproofs-s00002-r00014352-n000004-0001-5ade5ef8d38981df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "5ade5ef8d38981df675175944047372675a9eb7ce9d8193bac109b325c226af4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014356-n000004.json b/manifests/batches/oproofs/s00002-r00014356-n000004.json
index 379c675f44f7cf00cba554dc7a85e300fdf57d44..ec86a16475dc84f20a614dcfd317ec77798d327a 100644
--- a/manifests/batches/oproofs/s00002-r00014356-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014356-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014356-n000004",
   "batch_fingerprint": "ce9fd7ce03a27d4f3bcaac8fa25585d51dd8803b7163cff74e093e6214749c9d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014356-n000004-0000-5880227207a09d1d.parquet",
-      "sha256": "5880227207a09d1d62bfac4f4605fa5bc612232f3198a50f63fed8c04de19238",
-      "bytes": 197885,
-      "rows": 13,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014356-n000004-0000-8fbb7723dbd562a5.parquet",
-      "sha256": "8fbb7723dbd562a5bd1e08f849a6915ce56108e050e5ed9d37ff625f3ebe1b6c",
-      "bytes": 321682,
-      "rows": 6,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14356",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14357",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014357.lean\",\"b5193f71397bc53980725714fd59c5cfb50d48317892c959c99d92ddd09377c4\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014358.lean\",\"1ab387d0f2c03073bd55305ed8ea403c5fe972e6b60773847718ff00bafe5509\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014359.lean\",\"19349b3d42a0d001caeb5d238dc366c5ef775d185144c533a49a5870991bdc77\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197885,
+      "path": "data/train/p8d/oproofs-s00002-r00014356-n000004-0000-5880227207a09d1d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "5880227207a09d1d62bfac4f4605fa5bc612232f3198a50f63fed8c04de19238"
+    },
+    {
+      "bytes": 321682,
+      "path": "data/internal_test/p8d/oproofs-s00002-r00014356-n000004-0000-8fbb7723dbd562a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "8fbb7723dbd562a5bd1e08f849a6915ce56108e050e5ed9d37ff625f3ebe1b6c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014360-n000004.json b/manifests/batches/oproofs/s00002-r00014360-n000004.json
index 27cd8385effbcd2f6529817d700ef9ef8e19965a..1fea3620a48737781229c3e060acbbb847d2fd9a 100644
--- a/manifests/batches/oproofs/s00002-r00014360-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014360-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014360-n000004",
   "batch_fingerprint": "942e9d77fe274d27b8f64c269abc3d979d10e61d3829b733f4d64cea9b045d81",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014360-n000004-0000-2d9ab93870478639.parquet",
-      "sha256": "2d9ab93870478639f1ba12431d2ef54883027330910fc81bf12680e177518c83",
-      "bytes": 678922,
-      "rows": 13,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14360",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14362",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014360.lean\",\"5b153e0f4691dec5849c44e56996ce527e73c42b91ed6b164a71484ad705678c\",0,\"find_functions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014362.lean\",\"daacfaf1053373ef851476edfb86543e5e8c9fbcdb6e07d53521b35ea102d574\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014363.lean\",\"0f3978e8deec03a93645eea76f5e2dcf1e68f013699accf53aa2fdee5d8ff35f\",0,\"functions_with_compositions\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 678922,
+      "path": "data/train/pec/oproofs-s00002-r00014360-n000004-0000-2d9ab93870478639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "2d9ab93870478639f1ba12431d2ef54883027330910fc81bf12680e177518c83"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014364-n000004.json b/manifests/batches/oproofs/s00002-r00014364-n000004.json
index 2cf275e6f0043fbd59bfe6bcefd4f6dd288677f0..100f2cb98c2967a467d7b6a4b9b4dd539d99bedc 100644
--- a/manifests/batches/oproofs/s00002-r00014364-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014364-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014364-n000004",
   "batch_fingerprint": "66e7f0f657878fa2d25969be5ee508804317fc44327d75062dd22ff5a9018576",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14364",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14365",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14366",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14367"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014364.lean\",\"3e623e7dedca862075f50fbb99781b8e8c0276f720bd7cdb79e5f28d7a8f881e\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014365.lean\",\"9378cf402db8e92ee8baf3d475b0a2a66aaf45b6e80113cbc00051e69d6cad91\",0,\"minimum_cos_squared\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014366.lean\",\"c38a0b22b2ccc306e96f48f0f5ccd728c0b4828f1b117086073939955a84108e\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014367.lean\",\"40fbf44d479734ad49b66a8a57f506594881c7a783ef049838e0c64614dfcc9c\",0,\"exists_irrational_power_rational\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014364-n000004-0000-d725fad7916adf08.parquet",
-      "sha256": "d725fad7916adf0887f0cb64dcafe99bcefec77703bd82a40a642559f084825e",
       "bytes": 144759,
+      "path": "data/train/p16/oproofs-s00002-r00014364-n000004-0000-d725fad7916adf08.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
+      "sha256": "d725fad7916adf0887f0cb64dcafe99bcefec77703bd82a40a642559f084825e"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014364-n000004-0000-03a01f7b91e8ebc7.parquet",
-      "sha256": "03a01f7b91e8ebc76b45411df653233a27cd286ab17b2f3ce723a71cc2fc0435",
       "bytes": 376366,
+      "path": "data/dev/p16/oproofs-s00002-r00014364-n000004-0000-03a01f7b91e8ebc7.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
+      "sha256": "03a01f7b91e8ebc76b45411df653233a27cd286ab17b2f3ce723a71cc2fc0435"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014364-n000004-0000-2cca7fb559075dd0.parquet",
-      "sha256": "2cca7fb559075dd04b3431f7a575a25dd5c4f328c47e1f0bbb15c7697a91a4dc",
       "bytes": 68107,
+      "path": "data/internal_test/p16/oproofs-s00002-r00014364-n000004-0000-2cca7fb559075dd0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
+      "sha256": "2cca7fb559075dd04b3431f7a575a25dd5c4f328c47e1f0bbb15c7697a91a4dc"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14364",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14365",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14366",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14367"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014364.lean\",\"3e623e7dedca862075f50fbb99781b8e8c0276f720bd7cdb79e5f28d7a8f881e\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014365.lean\",\"9378cf402db8e92ee8baf3d475b0a2a66aaf45b6e80113cbc00051e69d6cad91\",0,\"minimum_cos_squared\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014366.lean\",\"c38a0b22b2ccc306e96f48f0f5ccd728c0b4828f1b117086073939955a84108e\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014367.lean\",\"40fbf44d479734ad49b66a8a57f506594881c7a783ef049838e0c64614dfcc9c\",0,\"exists_irrational_power_rational\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014368-n000004.json b/manifests/batches/oproofs/s00002-r00014368-n000004.json
index 97a01665099e0d17458e246c20e964a5f7c5a525..834a9bc6905ef72eb91103691d959019df208d89 100644
--- a/manifests/batches/oproofs/s00002-r00014368-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014368-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014368-n000004",
   "batch_fingerprint": "f23cf587731ab319c28f279e18108ba2f27e9d4a9c53f258003a97b6d94fa2a5",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014368-n000004-0000-fbe78851637ae33d.parquet",
-      "sha256": "fbe78851637ae33d01e963a994d90eeca84ce1588c8254549cc5ed7c405960c5",
-      "bytes": 1173573,
-      "rows": 19,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014368-n000004-0000-a40b922c8f8fbb4e.parquet",
-      "sha256": "a40b922c8f8fbb4e4f2fd567f5367a37e3809d8ba0a7caa801c5de6d8985716e",
-      "bytes": 144622,
-      "rows": 3,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14368",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14369",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014369.lean\",\"a99daacff3dad807c4719735b332cdc1d08a54dffb1c53757fc5329accaee44f\",0,\"harmonic_series_sqrt_bound\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014370.lean\",\"a7606c69e21537f60b06dcd52ce32d88ae7c29b00afc6007ed2836781bd95d83\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014371.lean\",\"7fb9a7328755fa0c14faf7229157f0ae1bae28ea37f5364af2307fda0fd46693\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1173573,
+      "path": "data/train/p8f/oproofs-s00002-r00014368-n000004-0000-fbe78851637ae33d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "fbe78851637ae33d01e963a994d90eeca84ce1588c8254549cc5ed7c405960c5"
+    },
+    {
+      "bytes": 144622,
+      "path": "data/dev/p8f/oproofs-s00002-r00014368-n000004-0000-a40b922c8f8fbb4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "a40b922c8f8fbb4e4f2fd567f5367a37e3809d8ba0a7caa801c5de6d8985716e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014372-n000004.json b/manifests/batches/oproofs/s00002-r00014372-n000004.json
index 8c6b8d883ec018db6ff7c323bae2b4dfc54e5ccd..f1a935e456ebcffefef53b4850b4d3719cdd9a4e 100644
--- a/manifests/batches/oproofs/s00002-r00014372-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014372-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014372-n000004",
   "batch_fingerprint": "cd63f0f73d20e6401f96895b9387a9e90d681898e773d0b83754f6bf013ad48f",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14372",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14373",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14374",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14375"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014372.lean\",\"2ff860db9d7585dd6297a8b596206ad2fea19aeec96dba8701485eea5fa36f99\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014373.lean\",\"23db00b972e6e7dbfa53c8083083b43089a9b57f55ee264642eafa00d2383c55\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014374.lean\",\"cc7b0ecfc8b3054c4add4454d87543a61b425b1056d1641a63b4ea72dd02fd37\",0,\"base_2_to_base_4\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014375.lean\",\"fdcdbeb4fcd131d84eb79faed006764a42d5b873dcbf2b76fb4f956d04a9e853\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014372-n000004-0000-b1883052c2f5bb8b.parquet",
-      "sha256": "b1883052c2f5bb8ba19c1f088950c9cac2d720612876fccad96de895401be0a2",
       "bytes": 530826,
+      "path": "data/train/p47/oproofs-s00002-r00014372-n000004-0000-b1883052c2f5bb8b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 30,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "b1883052c2f5bb8ba19c1f088950c9cac2d720612876fccad96de895401be0a2"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014372-n000004-0001-038b93b297c64643.parquet",
-      "sha256": "038b93b297c6464353025c84d55b981722186f0a83ebe8ea7caf410b94634508",
       "bytes": 984274,
+      "path": "data/train/p47/oproofs-s00002-r00014372-n000004-0001-038b93b297c64643.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "038b93b297c6464353025c84d55b981722186f0a83ebe8ea7caf410b94634508"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014372-n000004-0002-ebb86604dfd7fe62.parquet",
-      "sha256": "ebb86604dfd7fe626befa5acb550d7ef1f4cdf564cccc0cc9a6d573ca3939da3",
       "bytes": 400973,
+      "path": "data/train/p47/oproofs-s00002-r00014372-n000004-0002-ebb86604dfd7fe62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
+      "sha256": "ebb86604dfd7fe626befa5acb550d7ef1f4cdf564cccc0cc9a6d573ca3939da3"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14372",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14373",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14374",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14375"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014372.lean\",\"2ff860db9d7585dd6297a8b596206ad2fea19aeec96dba8701485eea5fa36f99\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014373.lean\",\"23db00b972e6e7dbfa53c8083083b43089a9b57f55ee264642eafa00d2383c55\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014374.lean\",\"cc7b0ecfc8b3054c4add4454d87543a61b425b1056d1641a63b4ea72dd02fd37\",0,\"base_2_to_base_4\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014375.lean\",\"fdcdbeb4fcd131d84eb79faed006764a42d5b873dcbf2b76fb4f956d04a9e853\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014376-n000004.json b/manifests/batches/oproofs/s00002-r00014376-n000004.json
index 294844781bba8804f62bf3375d92647cdbfebf93..d105f7ae0d8cb589d13ffbccfab1c1192921c4dc 100644
--- a/manifests/batches/oproofs/s00002-r00014376-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014376-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014376-n000004",
   "batch_fingerprint": "96b443aaacb80d2530d0ca56a47a64ea319be34ec21777708f58d621e5cffbc9",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014376-n000004-0000-f18a309256a37a15.parquet",
-      "sha256": "f18a309256a37a15fd64f300da12c2cc9c96d5b3f309e8cb5142374c8c34be26",
-      "bytes": 1214618,
-      "rows": 16,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014376-n000004-0001-20772352205f338f.parquet",
-      "sha256": "20772352205f338f8142ea23150aaaf30edd24da1f62606034a5ed50a7923256",
-      "bytes": 205923,
-      "rows": 3,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14376",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14377",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014377.lean\",\"5bfa7dcc96f80d87b0abe5a91f57a4cbcf19412143339d6f5a192c24e8a4aa3d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014378.lean\",\"5b844ae0dee48cd1450bef17cadc08083826bfda58961ea57878d8bc7b6e9436\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014379.lean\",\"f8a7eea9d8b22b3a25c9b8a7f428afedc9a9984d6a53d4347332ce65e92132c7\",0,\"product_of_sines_is_at_most_eighth\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1214618,
+      "path": "data/train/p21/oproofs-s00002-r00014376-n000004-0000-f18a309256a37a15.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "f18a309256a37a15fd64f300da12c2cc9c96d5b3f309e8cb5142374c8c34be26"
+    },
+    {
+      "bytes": 205923,
+      "path": "data/train/p21/oproofs-s00002-r00014376-n000004-0001-20772352205f338f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "20772352205f338f8142ea23150aaaf30edd24da1f62606034a5ed50a7923256"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014380-n000004.json b/manifests/batches/oproofs/s00002-r00014380-n000004.json
index 3ba799cdc1aee6bba67c9500f1b49f1cc7a163c5..837f61793e05db35004e5647c28c85c1621f47c5 100644
--- a/manifests/batches/oproofs/s00002-r00014380-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014380-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014380-n000004",
   "batch_fingerprint": "1bcfb6c278449ad830f08e661fe82e08baae9c1a2a7f3d2729872896608473f1",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14380",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14381",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14382",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14383"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014380.lean\",\"73856200f242412ef4234e9fc8df646165d0f6f2d303e28b3213483a215d730f\",0,\"quad_equations\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014381.lean\",\"9878757633ae69d57a61754e0d821ddeef51bbeaf5041463e937125ff6a21ec5\",0,\"not_exists_f_g\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014382.lean\",\"c604345684dc678bec9a23a11455e39465271512398cc5da6c680c88b9b508a9\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014383.lean\",\"c9bf588713d7b8685d51cd01b2d92340d8912de981c67ee082e8bf2efa11a590\",0,\"theorem_name\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014380-n000004-0000-b7a9b27038789f6a.parquet",
-      "sha256": "b7a9b27038789f6ad8546b4843f0a0bfc5c271e136b6a9e07b74718aab4da646",
       "bytes": 642346,
+      "path": "data/train/p28/oproofs-s00002-r00014380-n000004-0000-b7a9b27038789f6a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "b7a9b27038789f6ad8546b4843f0a0bfc5c271e136b6a9e07b74718aab4da646"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014380-n000004-0001-3ee6550bac5ecd43.parquet",
-      "sha256": "3ee6550bac5ecd43caeb7272bcdf07028d1591695569de77aae608ba53912c25",
       "bytes": 261426,
+      "path": "data/train/p28/oproofs-s00002-r00014380-n000004-0001-3ee6550bac5ecd43.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "3ee6550bac5ecd43caeb7272bcdf07028d1591695569de77aae608ba53912c25"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014380-n000004-0000-f66141f6ba0cdb35.parquet",
-      "sha256": "f66141f6ba0cdb35d02f3a98574801a9618ee8cecbc76935c6e6b7876f043a49",
       "bytes": 104051,
+      "path": "data/dev/p28/oproofs-s00002-r00014380-n000004-0000-f66141f6ba0cdb35.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "f66141f6ba0cdb35d02f3a98574801a9618ee8cecbc76935c6e6b7876f043a49"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14380",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14381",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14382",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14383"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014380.lean\",\"73856200f242412ef4234e9fc8df646165d0f6f2d303e28b3213483a215d730f\",0,\"quad_equations\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014381.lean\",\"9878757633ae69d57a61754e0d821ddeef51bbeaf5041463e937125ff6a21ec5\",0,\"not_exists_f_g\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014382.lean\",\"c604345684dc678bec9a23a11455e39465271512398cc5da6c680c88b9b508a9\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014383.lean\",\"c9bf588713d7b8685d51cd01b2d92340d8912de981c67ee082e8bf2efa11a590\",0,\"theorem_name\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014384-n000004.json b/manifests/batches/oproofs/s00002-r00014384-n000004.json
index e6928afcd711c58770e75a48ba94f00adc53b4ac..c85d4843b04b79afa0519ca57a37693540be564f 100644
--- a/manifests/batches/oproofs/s00002-r00014384-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014384-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014384-n000004",
   "batch_fingerprint": "9fd2b95ee27b42a245260fb9ff85c69d46dde97f35e2f94847fd8665743e2b26",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014384-n000004-0000-20692272808b5689.parquet",
-      "sha256": "20692272808b56891bcfd2f25c0f93cb1cc574e233f3e4e003f7bd16c8049937",
-      "bytes": 470054,
-      "rows": 11,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14384",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14385",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014385.lean\",\"7bab8036d46f5658e8bc6bd5c5695b1e2efc9d099133288cabd1b507bbaee1ff\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014386.lean\",\"dffc4aaffcf67e344a904038e840fc1fbaabee59bd5eb16380f59d2a9d6b580a\",0,\"tan_inverse_equality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014387.lean\",\"279bf840e552bb1c48aaf9fc7ba26439da25b20108ece358f981f873a3f78003\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 470054,
+      "path": "data/train/p5b/oproofs-s00002-r00014384-n000004-0000-20692272808b5689.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "20692272808b56891bcfd2f25c0f93cb1cc574e233f3e4e003f7bd16c8049937"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014388-n000004.json b/manifests/batches/oproofs/s00002-r00014388-n000004.json
index 98f6c11d3ec61db9a044808507ef6050896a8099..51f4bf3d37b3340f39ce248a7cb4054a91cf73b2 100644
--- a/manifests/batches/oproofs/s00002-r00014388-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014388-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014388-n000004",
   "batch_fingerprint": "2b77c6f9ccd1b99af1e4056154a0220869af2045aa68d08290b12e1debfbf759",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014388-n000004-0000-3cbe35edfee756d0.parquet",
-      "sha256": "3cbe35edfee756d06af2b6b473320d9a7c208f734f3e4c29c061d19ff77f813a",
-      "bytes": 753163,
-      "rows": 27,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014388-n000004-0001-a7744c16d388d50a.parquet",
-      "sha256": "a7744c16d388d50acf73955dc8365b61e78ceabe80ddb9b75f8368ebc7e670b9",
-      "bytes": 1183983,
-      "rows": 6,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14388",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14389",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014389.lean\",\"64daa2e85c0593b25f89fa389bef0c1596cd3aa8373ee2f03d3a30ecd446f1c4\",0,\"nine_roots_on_line\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014390.lean\",\"880f1b6d1564ee5bf15bcc7b575aeff96b07d4a345284a8ce08b831894a13db5\",0,\"has_exactly_n_roots\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014391.lean\",\"328900094cbc20642ec8724aaec942456feb9f0384b3a40f0e86d935fb062070\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753163,
+      "path": "data/train/p81/oproofs-s00002-r00014388-n000004-0000-3cbe35edfee756d0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "3cbe35edfee756d06af2b6b473320d9a7c208f734f3e4c29c061d19ff77f813a"
+    },
+    {
+      "bytes": 1183983,
+      "path": "data/train/p81/oproofs-s00002-r00014388-n000004-0001-a7744c16d388d50a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "a7744c16d388d50acf73955dc8365b61e78ceabe80ddb9b75f8368ebc7e670b9"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014392-n000004.json b/manifests/batches/oproofs/s00002-r00014392-n000004.json
index 8c6ca5480295cca28c4c3fd5e62071fad7fd21cd..dce44dc2db94eb6b35282ec20fad325dc794b4b5 100644
--- a/manifests/batches/oproofs/s00002-r00014392-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014392-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014392-n000004",
   "batch_fingerprint": "9eb373fac63269ed6fb058d27789f6c21a588551c030fe3432c9008ef43948b4",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014392-n000004-0000-e6fcd57bda6c561f.parquet",
-      "sha256": "e6fcd57bda6c561fb63cd7d6b6e8c04adad496c09f4f552a1ae76ac5cc58578a",
-      "bytes": 708738,
-      "rows": 17,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14392",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14394",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014392.lean\",\"3853ee5807c4e6db38c0042cb332451afce49069feb5287b5a672f59eb144628\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014394.lean\",\"adb2b872169affce3945354e201bce91ff266b471467c5eaad033d42da847336\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014395.lean\",\"0c8e6ed3044fbfb3d1b6ed9afc750def6a5399200687f7cc9d26bcea0e4b51d3\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 708738,
+      "path": "data/train/p1f/oproofs-s00002-r00014392-n000004-0000-e6fcd57bda6c561f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "e6fcd57bda6c561fb63cd7d6b6e8c04adad496c09f4f552a1ae76ac5cc58578a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014396-n000004.json b/manifests/batches/oproofs/s00002-r00014396-n000004.json
index f10c48af3bb480a1af7ee4f7f0cf2363ed7a3676..f400f3b6cce41a5f20c42b66c8edcc644a551650 100644
--- a/manifests/batches/oproofs/s00002-r00014396-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014396-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014396-n000004",
   "batch_fingerprint": "2475f803ff03ff7d11cec1f1e9fdc5e594005334beab40c768227dc43e3f1a13",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014396-n000004-0000-9ed1984ddc0c0aef.parquet",
-      "sha256": "9ed1984ddc0c0aefb35cffe6011a2133deef4535742d6959e7ef0ab46091d267",
-      "bytes": 279685,
-      "rows": 12,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14396",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14397",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014397.lean\",\"63141c83ce24f7f2675204eb915b63770d2084c766a176a1ce4b77ab23afad29\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014398.lean\",\"129aefd468817a4030fc1eab2e844fdc32514bf3ea69bfea60f7ad860de5ee7d\",0,\"largest_in_sequence\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014399.lean\",\"b4dabc5c6e46825017234a627840e8e15ff221c96e960006875c5a5051c5f58a\",0,\"sum_of_geometric_sequence\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 279685,
+      "path": "data/train/p5d/oproofs-s00002-r00014396-n000004-0000-9ed1984ddc0c0aef.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "9ed1984ddc0c0aefb35cffe6011a2133deef4535742d6959e7ef0ab46091d267"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014400-n000004.json b/manifests/batches/oproofs/s00002-r00014400-n000004.json
index 717d1dfcdf9c106b4f14cce9807f7db934803858..10f0bb7a0909543ddc072f5a484afb37d5fd9c59 100644
--- a/manifests/batches/oproofs/s00002-r00014400-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014400-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014400-n000004",
   "batch_fingerprint": "63c9a8ac42fae5fca96e7cad1fb1cbed8f6921b62e4c88600cabdf463ed636df",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014400-n000004-0000-0fe834f75d5309a1.parquet",
-      "sha256": "0fe834f75d5309a1659676a2fd98c759bffec0c8dbdad8fa027f75a5b5b73cb0",
-      "bytes": 322001,
-      "rows": 21,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14400",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14401",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014401.lean\",\"96d6396082924a033bf312b53d462a1c96766b242fdf6bbcdfcdf6c4459e8da9\",0,\"units_digit\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014402.lean\",\"65954b688f9d1632593e2fa4fbccd2a8a4dd11f0b097624b4c1505256028ea9e\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014403.lean\",\"2965e729ea239d2de73d29f9210d094fd6057f129e2a107d21c98c23bc0ffdf2\",0,\"exists_three_integers\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 322001,
+      "path": "data/train/pa2/oproofs-s00002-r00014400-n000004-0000-0fe834f75d5309a1.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "0fe834f75d5309a1659676a2fd98c759bffec0c8dbdad8fa027f75a5b5b73cb0"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014404-n000004.json b/manifests/batches/oproofs/s00002-r00014404-n000004.json
index 070581bdc63a7d806c42506fdccc50feb72c4e62..57ca135458e379110c05e142f886e91e652370f5 100644
--- a/manifests/batches/oproofs/s00002-r00014404-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014404-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014404-n000004",
   "batch_fingerprint": "b8553215c9ee0c2f2107c7e9e9b78e7915611db7c0e2b2208d88fc898b43c137",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014404-n000004-0000-d82c405a0bde12a6.parquet",
-      "sha256": "d82c405a0bde12a6d245a0ae9c7203946bf3a13149ab97caed37565da72add98",
-      "bytes": 361737,
-      "rows": 20,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14404",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14405",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014405.lean\",\"cfc1025ee7b8de8f6984d46c2ca063ee19a43d3c255d48e25e9e900febb2edee\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014406.lean\",\"a0fcaf559d6d106382846a9f9256c06c0c0f36b6c7d57dee4d37dd60ec57983b\",0,\"number_of_blue_birds\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014407.lean\",\"69747c81ff08850c13f52157d65ec43ae37a43b885f50bb980266d0e23c60702\",0,\"sum_cubes_eq_square_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 361737,
+      "path": "data/train/p28/oproofs-s00002-r00014404-n000004-0000-d82c405a0bde12a6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "d82c405a0bde12a6d245a0ae9c7203946bf3a13149ab97caed37565da72add98"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014408-n000004.json b/manifests/batches/oproofs/s00002-r00014408-n000004.json
index 72d45f41d410d403b81f447402dd65c8d4b85c48..1ac2e97ae11f01ed1dfc4a3c9774bb7ef31997b6 100644
--- a/manifests/batches/oproofs/s00002-r00014408-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014408-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014408-n000004",
   "batch_fingerprint": "15014ed3e5d532180f2a653a25fcc91801a490273bcfa769c54d4f066fd52f69",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014408-n000004-0000-6370d301ba8d9f45.parquet",
-      "sha256": "6370d301ba8d9f452bd4d95bf8c49f539453cb36c272aa8135f3080e8744d7e4",
-      "bytes": 342845,
-      "rows": 16,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14408",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14409",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014409.lean\",\"2c00af14a7237d046c927c53cca8cdebd822315990b451b10255a6c452c44ff6\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014410.lean\",\"cf4607a23769617f755897e825f7b27f2b6f91bf2c453542bfa2bb33967aeea7\",0,\"max_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014411.lean\",\"7ff8db49188cb3f5c1fddcd2166d2f968303d3780899b2a8f76843b4f27bb962\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 342845,
+      "path": "data/train/p0b/oproofs-s00002-r00014408-n000004-0000-6370d301ba8d9f45.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 16,
+      "sha256": "6370d301ba8d9f452bd4d95bf8c49f539453cb36c272aa8135f3080e8744d7e4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014412-n000004.json b/manifests/batches/oproofs/s00002-r00014412-n000004.json
index 8f2a77aa9922edc94bba5dc830096e440f480031..37c35a0147fa9fa8128a78ec29da5621890e1eb6 100644
--- a/manifests/batches/oproofs/s00002-r00014412-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014412-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014412-n000004",
   "batch_fingerprint": "c58b669d13aea6626c79cfabe4efafe9d44c7e4df0099ff4aca85fba485ce9ce",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014412-n000004-0000-8ea74ea8b1f3d8a3.parquet",
-      "sha256": "8ea74ea8b1f3d8a39f3f7bda15049a1524f4ce0d945b899265271da08ec1aff9",
-      "bytes": 753975,
-      "rows": 8,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014412-n000004-0001-215385d3017df54f.parquet",
-      "sha256": "215385d3017df54f6def3495a9fc05f14f75c8b8ac22a81026eeb0c64abad010",
-      "bytes": 181216,
-      "rows": 3,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14412",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14413",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014413.lean\",\"20bf00d199b4754fe59b1b8bf6394f552bc6df5d5ba2cc05bafae35ddf6f2398\",0,\"limit_ratio_le_1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014414.lean\",\"91c25e0d3abe1ce0f916f6dcc6228fbc44491bf570d063ca6a5f73c98ad41a2e\",0,\"exists_exactly_four_points_M\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014415.lean\",\"0ee84e741ffbc560282d32bc480e8adb96c1ff67158328a0a452c39c975f14a1\",0,\"exists_fixed_point\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 753975,
+      "path": "data/train/p59/oproofs-s00002-r00014412-n000004-0000-8ea74ea8b1f3d8a3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "8ea74ea8b1f3d8a39f3f7bda15049a1524f4ce0d945b899265271da08ec1aff9"
+    },
+    {
+      "bytes": 181216,
+      "path": "data/train/p59/oproofs-s00002-r00014412-n000004-0001-215385d3017df54f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "215385d3017df54f6def3495a9fc05f14f75c8b8ac22a81026eeb0c64abad010"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014416-n000004.json b/manifests/batches/oproofs/s00002-r00014416-n000004.json
index c5f176ac8873a016fe8335dfd3633e2741cb92c1..f03169c7550ce30df8801b5fe817864712ad4f8c 100644
--- a/manifests/batches/oproofs/s00002-r00014416-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014416-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014416-n000004",
   "batch_fingerprint": "fddfcfd8bdebe488f406937c6774f46b64397e3bf843da7b3c480befe744738e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014416-n000004-0000-3405f183e0913427.parquet",
-      "sha256": "3405f183e0913427d9896434ab5ec6810a28ec3b94d052021e6cd3d2b35f4a1a",
-      "bytes": 796324,
-      "rows": 13,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014416-n000004-0000-2e7b14e3a8220e99.parquet",
-      "sha256": "2e7b14e3a8220e99253fbdc4e38c40798c5e79ce9a3881892209fea97d5e389e",
-      "bytes": 501842,
-      "rows": 5,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14416",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14417",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014417.lean\",\"f079cfac80f7cd5b3b89f91a6e341c51c856e5810321abb9db4bce99b2ed9546\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014418.lean\",\"5a69897764db6cbba720e1eb2b5e39634dc4122f1ab4b5280a3d98c267043f6d\",0,\"floor_inequality\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014419.lean\",\"8059b9fea5745f8a490a586e526e4ff60cec68b2876780333c5e4aef0e445737\",0,\"inv_I_sub_BA_of_inv_I_sub_AB\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 796324,
+      "path": "data/train/pda/oproofs-s00002-r00014416-n000004-0000-3405f183e0913427.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "3405f183e0913427d9896434ab5ec6810a28ec3b94d052021e6cd3d2b35f4a1a"
+    },
+    {
+      "bytes": 501842,
+      "path": "data/dev/pda/oproofs-s00002-r00014416-n000004-0000-2e7b14e3a8220e99.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "2e7b14e3a8220e99253fbdc4e38c40798c5e79ce9a3881892209fea97d5e389e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014420-n000004.json b/manifests/batches/oproofs/s00002-r00014420-n000004.json
index 9d058bac187b77cef67b09c1837a773e787c1edf..82fb8613ef5347ad478c3da5ef92b654eec26a74 100644
--- a/manifests/batches/oproofs/s00002-r00014420-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014420-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014420-n000004",
   "batch_fingerprint": "b6566225e834b011174dab7dd724a3beb0bf698dd470e19cfafb67a8c4f31674",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014420-n000004-0000-8b7185f943e3fc68.parquet",
-      "sha256": "8b7185f943e3fc685331dea88bbb925eaa27b4cdf24f8433d67ed4af55bcd4a9",
-      "bytes": 581067,
-      "rows": 21,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014420-n000004-0000-68bf17b0a339285a.parquet",
-      "sha256": "68bf17b0a339285ad645b9630de91f5178333cc25772ff562955a5cf6d996275",
-      "bytes": 145927,
-      "rows": 3,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14420",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14421",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014421.lean\",\"32870c981c89f70ce172fb0657e01dc1675d944e3569f33b83536c4414430913\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014422.lean\",\"0ccb7041c49d97a595d21566ad2c1535ea9e88b7d21efa9d452e5a17725620cf\",0,\"matrix_pow_identity\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014423.lean\",\"e2a2b3d0a925947d530b9518c8d701d20f46e697fdaf2a447673c9ff1ee97aae\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 581067,
+      "path": "data/train/p50/oproofs-s00002-r00014420-n000004-0000-8b7185f943e3fc68.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "8b7185f943e3fc685331dea88bbb925eaa27b4cdf24f8433d67ed4af55bcd4a9"
+    },
+    {
+      "bytes": 145927,
+      "path": "data/internal_test/p50/oproofs-s00002-r00014420-n000004-0000-68bf17b0a339285a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "68bf17b0a339285ad645b9630de91f5178333cc25772ff562955a5cf6d996275"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014424-n000004.json b/manifests/batches/oproofs/s00002-r00014424-n000004.json
index 3ccdcee50d0570b0989166b48dd340d5fc5d0290..4ee90c649d91fd0292593323d1d5e312884e76eb 100644
--- a/manifests/batches/oproofs/s00002-r00014424-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014424-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014424-n000004",
   "batch_fingerprint": "bab4cefb17f77d96b451ac6b317e469abb64311df3043c17f32e9e6bc8842c13",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014424-n000004-0000-aa62f9dc692f5840.parquet",
-      "sha256": "aa62f9dc692f584088cb910340a3bd90430e1394bdf8a3e028a71a32a80d33c4",
-      "bytes": 681984,
-      "rows": 10,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014424-n000004-0000-d3e01ae25673456d.parquet",
-      "sha256": "d3e01ae25673456df2925ff220f451ef20cf01cc57fc9fe71f011962b2a1852d",
-      "bytes": 117688,
-      "rows": 4,
-      "revision": "30cdd497f50351a4fbdc9dc55ba5dec9cedbc59a"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14424",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14425",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014425.lean\",\"4cd5d7772d3742b4882af3001e6b1279e759cb4ccbfebf59a9fd34c808e0c16d\",0,\"smallest_distance\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014426.lean\",\"eac76f5f1468d9ac77ced0f0acd9babd8281b3b5cda5e5c589db2c925c194d85\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014427.lean\",\"acf8d109b9f5f08aebc5265305574eb5c9856b9e6d199f277e862dc6f4847b47\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 681984,
+      "path": "data/train/pb0/oproofs-s00002-r00014424-n000004-0000-aa62f9dc692f5840.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "aa62f9dc692f584088cb910340a3bd90430e1394bdf8a3e028a71a32a80d33c4"
+    },
+    {
+      "bytes": 117688,
+      "path": "data/dev/pb0/oproofs-s00002-r00014424-n000004-0000-d3e01ae25673456d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "d3e01ae25673456df2925ff220f451ef20cf01cc57fc9fe71f011962b2a1852d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014428-n000004.json b/manifests/batches/oproofs/s00002-r00014428-n000004.json
index 920c689e0a17d70a9f70037b62b4f4954fc8fc58..fe77a414c8e832054f482aca05e209807ed6e2ad 100644
--- a/manifests/batches/oproofs/s00002-r00014428-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014428-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014428-n000004",
   "batch_fingerprint": "dbbc51d660fcafef7856840341ec56e96d8fde05aed7b07fecd5db9fdcc9624a",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14428",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14429",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14430",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14431"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014428.lean\",\"13a95d65929d78b4018691e0b97b924776c3ebfa0e522b509e142903514b358c\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014429.lean\",\"17cc5dd72044c1f9d17f7395c8543ce80162bd05a75e8b8a39ed829d71883bda\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014430.lean\",\"e395580445784f38f3c6fd4eb00647829047b2a1db0b604a642308b6f70e2ef2\",0,\"taylor_series_sin_ax\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014431.lean\",\"5cb4701908a4bc04173f8e789522f27a8943e8201cd9ea80e95352cae1fc24b6\",0,\"sum_of_reciprocals_ge_half\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014428-n000004-0000-325ca17faad2c930.parquet",
-      "sha256": "325ca17faad2c930032c8e36e1ee040a15aac9e486e40f482e4c36255f3b2889",
       "bytes": 889628,
+      "path": "data/train/pd4/oproofs-s00002-r00014428-n000004-0000-325ca17faad2c930.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 18,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "325ca17faad2c930032c8e36e1ee040a15aac9e486e40f482e4c36255f3b2889"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014428-n000004-0001-88961f0ae411b73a.parquet",
-      "sha256": "88961f0ae411b73a07f56082603a47009cf8c4a4edf63eace5bf2221d10b0e0a",
       "bytes": 1037817,
+      "path": "data/train/pd4/oproofs-s00002-r00014428-n000004-0001-88961f0ae411b73a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "88961f0ae411b73a07f56082603a47009cf8c4a4edf63eace5bf2221d10b0e0a"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014428-n000004-0002-091ef0b8d0d70dcc.parquet",
-      "sha256": "091ef0b8d0d70dcc872a5ab1f6654d927f6b2d6b860a405d929b02ec1e2f6289",
       "bytes": 1898353,
+      "path": "data/train/pd4/oproofs-s00002-r00014428-n000004-0002-091ef0b8d0d70dcc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
+      "sha256": "091ef0b8d0d70dcc872a5ab1f6654d927f6b2d6b860a405d929b02ec1e2f6289"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14428",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14429",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14430",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14431"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014428.lean\",\"13a95d65929d78b4018691e0b97b924776c3ebfa0e522b509e142903514b358c\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014429.lean\",\"17cc5dd72044c1f9d17f7395c8543ce80162bd05a75e8b8a39ed829d71883bda\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014430.lean\",\"e395580445784f38f3c6fd4eb00647829047b2a1db0b604a642308b6f70e2ef2\",0,\"taylor_series_sin_ax\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014431.lean\",\"5cb4701908a4bc04173f8e789522f27a8943e8201cd9ea80e95352cae1fc24b6\",0,\"sum_of_reciprocals_ge_half\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014432-n000004.json b/manifests/batches/oproofs/s00002-r00014432-n000004.json
index 08153b11a55338ff88abe7418ff6908cdd76e1ae..c0905fd4dff73e74d0ca78db04b3e7d7df3bebbf 100644
--- a/manifests/batches/oproofs/s00002-r00014432-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014432-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014432-n000004",
   "batch_fingerprint": "a5ac522cf9461180e9e40a4fdc93e077e3f3450a26b9a57c1c260122ed1413ea",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14432",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14433",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14434",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14435"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014432.lean\",\"f5b648fb97ab7133b6dc143345229bbfa60e1eb97e089e4503e3a28ae1b70d2d\",0,\"product_f_at_xi_ge_one\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014433.lean\",\"4931168835e0a4e421854b9cbcc93a671c8eda285b28627dc67bf81bfb9ff28a\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014434.lean\",\"9a38f7fe45e9cf136369e25bf2dba376f4e8e0033e1047acb06b9e87a153a571\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014435.lean\",\"92c6ea73ff7b4f4e9d4fce6bda922055b0302eb22e503ca7ac9bbe8c75112e1e\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014432-n000004-0000-c71815c15848b6a0.parquet",
-      "sha256": "c71815c15848b6a0f890d21ca8cad6fedc33df821ebfcecf65c38d465d97af43",
       "bytes": 830740,
+      "path": "data/train/p6c/oproofs-s00002-r00014432-n000004-0000-c71815c15848b6a0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 24,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
+      "sha256": "c71815c15848b6a0f890d21ca8cad6fedc33df821ebfcecf65c38d465d97af43"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014432-n000004-0001-0e20ffa9089ba5ad.parquet",
-      "sha256": "0e20ffa9089ba5ad130e37b091c716214e1f33701128738687af14b62917d8e6",
       "bytes": 786041,
+      "path": "data/train/p6c/oproofs-s00002-r00014432-n000004-0001-0e20ffa9089ba5ad.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 10,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
+      "sha256": "0e20ffa9089ba5ad130e37b091c716214e1f33701128738687af14b62917d8e6"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014432-n000004-0002-8b10908995b42ef4.parquet",
-      "sha256": "8b10908995b42ef4721e89607cf3acd07b4f30ef1e6c4c676f790f22386b3663",
       "bytes": 399367,
+      "path": "data/train/p6c/oproofs-s00002-r00014432-n000004-0002-8b10908995b42ef4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
+      "sha256": "8b10908995b42ef4721e89607cf3acd07b4f30ef1e6c4c676f790f22386b3663"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14432",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14433",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14434",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14435"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014432.lean\",\"f5b648fb97ab7133b6dc143345229bbfa60e1eb97e089e4503e3a28ae1b70d2d\",0,\"product_f_at_xi_ge_one\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014433.lean\",\"4931168835e0a4e421854b9cbcc93a671c8eda285b28627dc67bf81bfb9ff28a\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014434.lean\",\"9a38f7fe45e9cf136369e25bf2dba376f4e8e0033e1047acb06b9e87a153a571\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014435.lean\",\"92c6ea73ff7b4f4e9d4fce6bda922055b0302eb22e503ca7ac9bbe8c75112e1e\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014436-n000004.json b/manifests/batches/oproofs/s00002-r00014436-n000004.json
index a36f4114d82ead442b66d39585423ff6e700781f..fca8db640cf4c740ae71d80b23c6e7c1cd8fac7e 100644
--- a/manifests/batches/oproofs/s00002-r00014436-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014436-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014436-n000004",
   "batch_fingerprint": "f8531bfa4960517669ce145c8174d28d90a9fbc11f6e3b013e60a15f609149e1",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014436-n000004-0000-0433c90644c2c335.parquet",
-      "sha256": "0433c90644c2c335cdea566194acd4485d187e028afad343a8d3be6de033a20d",
-      "bytes": 1109817,
-      "rows": 13,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14436",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14437",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014437.lean\",\"9ed694f0e289c0237eb5d0d3a6e6fe517ac0f9be7a3608a6796784eddc51da07\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014438.lean\",\"4ee8f694c1d1ef15d2c3e14087bdad7edace4c3e94b157a7bdc007d8417d3075\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014439.lean\",\"380047d2db5571e4643c6e980f0fbd3c68c036d0cdce67ec78e0be549d656e4d\",0,\"exists_n_divisible_by_all_smaller_than_sqrt\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1109817,
+      "path": "data/train/pb4/oproofs-s00002-r00014436-n000004-0000-0433c90644c2c335.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "0433c90644c2c335cdea566194acd4485d187e028afad343a8d3be6de033a20d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014440-n000004.json b/manifests/batches/oproofs/s00002-r00014440-n000004.json
index 3d5abefb91d8d9abc170c1b055a271cb1baeceac..99740d96d0cd9819d2d81e6a0cc84be118b86cc1 100644
--- a/manifests/batches/oproofs/s00002-r00014440-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014440-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014440-n000004",
   "batch_fingerprint": "fe7de14da231661693ed5046869878e60325f82b9b716a6c2663d04c66e8719b",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014440-n000004-0000-45acfd56a627489c.parquet",
-      "sha256": "45acfd56a627489c0c232229608e9fbf6079e44bae609d86e89e571494a658cf",
-      "bytes": 620586,
-      "rows": 23,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14440",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14441",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014441.lean\",\"84a4b1642bc6cd7b7ec940b0c3ed7af0691c9d2d52810cbefbe123b849a19e86\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014442.lean\",\"0f3978e8deec03a93645eea76f5e2dcf1e68f013699accf53aa2fdee5d8ff35f\",0,\"functions_with_compositions\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014443.lean\",\"8c3275cddb2c2ed1c7b193050c1d12c8e16532648456395c2cb8a30ae43893aa\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 620586,
+      "path": "data/train/pfc/oproofs-s00002-r00014440-n000004-0000-45acfd56a627489c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "45acfd56a627489c0c232229608e9fbf6079e44bae609d86e89e571494a658cf"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014444-n000004.json b/manifests/batches/oproofs/s00002-r00014444-n000004.json
index 70c82de3a7cbacb93ff09236a4da898647546485..1fac1b77158e95287d1d935dec9b6fadabaec8ec 100644
--- a/manifests/batches/oproofs/s00002-r00014444-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014444-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014444-n000004",
   "batch_fingerprint": "fedb4226c305f8e7a9536e6a014eafb8d24ace8ff3a14a2bbd85642368eeeb96",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14444",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14445",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14446",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14447"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014444.lean\",\"88b1e9656b6f90333c194f8725e98e0a40155cf80525cd0c45f78ee93c390f70\",0,\"minimum_cos_squared\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014445.lean\",\"91723fd161b93b4acc43da9f8ef755261cb91d0931c07b6203db2b20365a363d\",0,\"exists_irrational_power_rational\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014446.lean\",\"0352dfae50e6a4cc84284ff9d98cbae6c9bf230f0784929d3cf654a2ea90ef49\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014447.lean\",\"389ec099883900b046a293865d9bea92ba73c0332de7029fa0247de3d483ea41\",0,\"primitive_pythagorean_triple_mod_four\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014444-n000004-0000-0ef69d39b04de0df.parquet",
-      "sha256": "0ef69d39b04de0df99a5e7bfc8a6882bf1aafe578111d62d020a203235ed947f",
       "bytes": 210660,
+      "path": "data/train/pbb/oproofs-s00002-r00014444-n000004-0000-0ef69d39b04de0df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 5,
-      "revision": "0f412ed2ceb8ea21e7c72a9d54bb2d7a0262c732"
+      "sha256": "0ef69d39b04de0df99a5e7bfc8a6882bf1aafe578111d62d020a203235ed947f"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014444-n000004-0000-728f01ddcfde8d13.parquet",
-      "sha256": "728f01ddcfde8d13e3183955df17f9538db9a15909c0707471293dd96896ae12",
       "bytes": 376444,
+      "path": "data/dev/pbb/oproofs-s00002-r00014444-n000004-0000-728f01ddcfde8d13.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 8,
-      "revision": "0f412ed2ceb8ea21e7c72a9d54bb2d7a0262c732"
+      "sha256": "728f01ddcfde8d13e3183955df17f9538db9a15909c0707471293dd96896ae12"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014444-n000004-0000-ebd0e83bc5873547.parquet",
-      "sha256": "ebd0e83bc5873547484bbd35d805f8040584ee2f72f958abf7a4c7caefb277a8",
       "bytes": 67687,
+      "path": "data/internal_test/pbb/oproofs-s00002-r00014444-n000004-0000-ebd0e83bc5873547.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "0f412ed2ceb8ea21e7c72a9d54bb2d7a0262c732"
+      "sha256": "ebd0e83bc5873547484bbd35d805f8040584ee2f72f958abf7a4c7caefb277a8"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14444",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14445",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14446",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14447"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014444.lean\",\"88b1e9656b6f90333c194f8725e98e0a40155cf80525cd0c45f78ee93c390f70\",0,\"minimum_cos_squared\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014445.lean\",\"91723fd161b93b4acc43da9f8ef755261cb91d0931c07b6203db2b20365a363d\",0,\"exists_irrational_power_rational\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014446.lean\",\"0352dfae50e6a4cc84284ff9d98cbae6c9bf230f0784929d3cf654a2ea90ef49\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014447.lean\",\"389ec099883900b046a293865d9bea92ba73c0332de7029fa0247de3d483ea41\",0,\"primitive_pythagorean_triple_mod_four\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014448-n000004.json b/manifests/batches/oproofs/s00002-r00014448-n000004.json
index bcbc3213a2cf8226e0a9421ae566ca017a289db8..4abce3d4bbdbb40635d1595e6bd16b2618a4a309 100644
--- a/manifests/batches/oproofs/s00002-r00014448-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014448-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014448-n000004",
   "batch_fingerprint": "375b99aaca5956a604a62b6f7eb959d4bf00b28e9ffb0e75bd61dfeaeffbb763",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014448-n000004-0000-f502f4ea702bf332.parquet",
-      "sha256": "f502f4ea702bf3321384ccdfd77d9fb615f26714a9dc6da029663fef9c512a01",
-      "bytes": 237119,
-      "rows": 14,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014448-n000004-0000-2005d576b605d4c0.parquet",
-      "sha256": "2005d576b605d4c0d222c1cde0b800ee60cccad5506c28e86305e0ec794f606e",
-      "bytes": 149940,
-      "rows": 3,
-      "revision": "8e533b0809304c9af1dbed3225076ecb32757abd"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14448",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14449",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014449.lean\",\"bdc03a30bb0e009c41fa82c7d6aedc6d3857d29c353b0c1f986ac592a2c22455\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014450.lean\",\"85d558c7b70f2face2cfe294946c38b7fe66fb487fd0c8e86efeb5f12e875813\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014451.lean\",\"1ec6d104cb5101da1d85a800f2c8791b3b373764f65150b0413cee568be8c266\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 237119,
+      "path": "data/train/p41/oproofs-s00002-r00014448-n000004-0000-f502f4ea702bf332.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "f502f4ea702bf3321384ccdfd77d9fb615f26714a9dc6da029663fef9c512a01"
+    },
+    {
+      "bytes": 149940,
+      "path": "data/dev/p41/oproofs-s00002-r00014448-n000004-0000-2005d576b605d4c0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "2005d576b605d4c0d222c1cde0b800ee60cccad5506c28e86305e0ec794f606e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014452-n000004.json b/manifests/batches/oproofs/s00002-r00014452-n000004.json
index ab4b6e490d96dd2bd8a28a8c0b065e6f491cf140..389e9425762f4871bdaebff2ecca0f18d271544c 100644
--- a/manifests/batches/oproofs/s00002-r00014452-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014452-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014452-n000004",
   "batch_fingerprint": "1ae39ba4548802bb3934bab3612ab488f5519eed18dd9bd6de6075554e4490d6",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014452-n000004-0000-190c69b3e543a753.parquet",
-      "sha256": "190c69b3e543a7536baaa297dfb4f43443c20f920426a12e7a8b85dc7be8150b",
-      "bytes": 1147034,
-      "rows": 26,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014452-n000004-0001-49f61bf55f1be14e.parquet",
-      "sha256": "49f61bf55f1be14e7c0228e7b456460c6da9190480a36dd375fb0f8219c090b4",
-      "bytes": 291788,
-      "rows": 9,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14452",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14453",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014453.lean\",\"474935daac2b2d7e8d158623379cb43fd19f4c04f497b37bd0abe7baaceaea24\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014454.lean\",\"364b78019ad0e408e5596716bae5c9b41976b86b410b462ff6479cf444bcee98\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014455.lean\",\"e5bb137933e4c0a068466ec32661cdbdcdcd311a1df492bbe07fc5b4402d6b9f\",0,\"product_of_sines_is_at_most_eighth\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1147034,
+      "path": "data/train/pcd/oproofs-s00002-r00014452-n000004-0000-190c69b3e543a753.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 26,
+      "sha256": "190c69b3e543a7536baaa297dfb4f43443c20f920426a12e7a8b85dc7be8150b"
+    },
+    {
+      "bytes": 291788,
+      "path": "data/train/pcd/oproofs-s00002-r00014452-n000004-0001-49f61bf55f1be14e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "49f61bf55f1be14e7c0228e7b456460c6da9190480a36dd375fb0f8219c090b4"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014456-n000004.json b/manifests/batches/oproofs/s00002-r00014456-n000004.json
index 8df63168624a86ee3a192d7e5a9fa977816af371..d25ccca7099b0685233fbf2c59bf41b1da86c96f 100644
--- a/manifests/batches/oproofs/s00002-r00014456-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014456-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014456-n000004",
   "batch_fingerprint": "f461c9b1c44443056b068233f40313bb510af163b98f9f7d4baeb3c0d7a3dc05",
   "evidence": {
@@ -40,15 +39,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014456-n000004-0000-6d66c70ccbc30913.parquet",
-      "sha256": "6d66c70ccbc30913a0b6da84a09a273b181ef498dc6b83b7de08c86734d3a7a6",
-      "bytes": 872848,
-      "rows": 10,
-      "revision": "349449da92f3fc63cc10b883ec57fd0d725b3745"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14456",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14458",
@@ -58,5 +49,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014456.lean\",\"9e2ad09b4c116ad93de90716b47b237f1d1fa6c9bf05b2df741588a8a45ff7d7\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014458.lean\",\"dbabfc4b41acc9484c1893ee0fa8bc1857de1124a6d66f9c257cc4c1daa76832\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014459.lean\",\"10490a0f7527eda91dbd305f70578c75938acbf0cd7efb6aa0587a9ea5003b84\",0,\"quad_equations\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 872848,
+      "path": "data/train/p3e/oproofs-s00002-r00014456-n000004-0000-6d66c70ccbc30913.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "6d66c70ccbc30913a0b6da84a09a273b181ef498dc6b83b7de08c86734d3a7a6"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014460-n000004.json b/manifests/batches/oproofs/s00002-r00014460-n000004.json
index b0fc3d8fe4bc2a4eb57b38b7e782521d223297b3..280f0253a843e9638ec969222531f4e175a67082 100644
--- a/manifests/batches/oproofs/s00002-r00014460-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014460-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014460-n000004",
   "batch_fingerprint": "18d858cf42269b632866cfcd97f8c2780105318ba4aabb829f7aef1ee6d5d180",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014460-n000004-0000-8f88ed14d28e7e51.parquet",
-      "sha256": "8f88ed14d28e7e5111b4ab2a69f95ad5399de0866a50553551d4857987df1318",
-      "bytes": 1119149,
-      "rows": 18,
-      "revision": "d1c608aedc937df1ea702584a32c67d02b8a7f3f"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14460",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14461",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014461.lean\",\"354e8b2fc2ac71cf15b2659d29bd5b21517cf6a93f436eb44763f48c6cef4d88\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014462.lean\",\"e73bec7acf0b824af500e1302b01f184365c4eb96890b954a2e8646123c05c48\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014463.lean\",\"ba168fbf0f60398a499630a2064cd281ba23f4ef1ea25ac8d9e55fe4de7ee41c\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1119149,
+      "path": "data/train/p65/oproofs-s00002-r00014460-n000004-0000-8f88ed14d28e7e51.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8f88ed14d28e7e5111b4ab2a69f95ad5399de0866a50553551d4857987df1318"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014464-n000004.json b/manifests/batches/oproofs/s00002-r00014464-n000004.json
index 0a64f380895bcfd71d0a25c0bd2a723ee02699d3..db6b6edf83aa8dd9b97c2579d2af782a032dbda5 100644
--- a/manifests/batches/oproofs/s00002-r00014464-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014464-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014464-n000004",
   "batch_fingerprint": "759a53b6944460ffb07d4af709a05253419da631a5e5afc729687c9f19a253d8",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014464-n000004-0000-012ba2affa1a227a.parquet",
-      "sha256": "012ba2affa1a227ab6dde8caed9041b09af5149663eebbdbb9c94856197fbdbd",
-      "bytes": 371715,
-      "rows": 17,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14464",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14465",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014465.lean\",\"0bca14bc76276727796119118e9f61276016c9857991273b62de05235adb1b3d\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014466.lean\",\"e02ea731bb77e8c92bf0d69c802c5dd074736c87352859aac73ba29156a30850\",0,\"nine_roots_on_line\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014467.lean\",\"7d1d508802f1584c9f408933d2f3904fea14643ac8a75af015ee7e53a06e2011\",0,\"has_exactly_n_roots\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 371715,
+      "path": "data/train/pc3/oproofs-s00002-r00014464-n000004-0000-012ba2affa1a227a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "012ba2affa1a227ab6dde8caed9041b09af5149663eebbdbb9c94856197fbdbd"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014472-n000004.json b/manifests/batches/oproofs/s00002-r00014472-n000004.json
index af9bf7433633232473aa3b735291bc4f962cf82a..7e466d453460e4e6e355f04c40118f15e55e4b39 100644
--- a/manifests/batches/oproofs/s00002-r00014472-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014472-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014472-n000004",
   "batch_fingerprint": "04eb2c45fc4f5d23d87aebb4391e0b9df35157f7cf0e3a00a7f4e5f1692dd283",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014472-n000004-0000-7c4c5913fc5e5c3a.parquet",
-      "sha256": "7c4c5913fc5e5c3a1d35026ac73f0941046e5878ddfb88fd8d53b2eb2f81dc0c",
-      "bytes": 354023,
-      "rows": 15,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    },
-    {
-      "path": "data/dev/oproofs-s00002-r00014472-n000004-0000-f407b72759655639.parquet",
-      "sha256": "f407b7275965563963d9ff7091e319a846cf6340e22180f943e0e581fc445cc2",
-      "bytes": 122625,
-      "rows": 3,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14472",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14473",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014473.lean\",\"a5dbbfeb4ceb3310c1efb84c41646f8dd3a9255580eb0f8999c7dedba9599211\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014474.lean\",\"8c8112cf3bc0bd03cebd4f41a3a6b5c30178e15b1390be33248e1b80b207876e\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014475.lean\",\"4f6598ccbeb1ff05bd7ac347aa915fb5c843d17a194f2f64579dcefae962ac61\",0,\"sum_sine_imp_sum_cosine\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 354023,
+      "path": "data/train/p0b/oproofs-s00002-r00014472-n000004-0000-7c4c5913fc5e5c3a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "7c4c5913fc5e5c3a1d35026ac73f0941046e5878ddfb88fd8d53b2eb2f81dc0c"
+    },
+    {
+      "bytes": 122625,
+      "path": "data/dev/p0b/oproofs-s00002-r00014472-n000004-0000-f407b72759655639.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "f407b7275965563963d9ff7091e319a846cf6340e22180f943e0e581fc445cc2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014476-n000004.json b/manifests/batches/oproofs/s00002-r00014476-n000004.json
index 5837b6247da6ac01cd8b21c6158bcc5b563022a8..6654cd1b7d7a49795b76f4bf24667903f4f9f373 100644
--- a/manifests/batches/oproofs/s00002-r00014476-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014476-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014476-n000004",
   "batch_fingerprint": "0e5dbc1e4e78364568e44a260c806302eb0c72adc5292badd6a1efb8eb612d21",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014476-n000004-0000-36051257acd4c5ab.parquet",
-      "sha256": "36051257acd4c5ab93be80ff977502ccd437e1fe2c53d6bd38737827c4bf2148",
-      "bytes": 441339,
-      "rows": 14,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14476",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14477",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014477.lean\",\"c1a1b0d7fb3ba2404f4c95f88376772aa60e3d65d1b9dcd3eba5152b23e8f350\",0,\"part_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014478.lean\",\"433ddff547221342c4e3646ff0a96eddf60578ecc28b70ee8ce3491db65dbcc8\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014479.lean\",\"087cf1f7e73b3f157e64f82de8d2ec43adde970944aa5b064e2f3a89661a0839\",0,\"unique_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 441339,
+      "path": "data/train/p53/oproofs-s00002-r00014476-n000004-0000-36051257acd4c5ab.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 14,
+      "sha256": "36051257acd4c5ab93be80ff977502ccd437e1fe2c53d6bd38737827c4bf2148"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014480-n000004.json b/manifests/batches/oproofs/s00002-r00014480-n000004.json
index 90e060bd5eaff1c76fcfbeae51e89c16dcce4bbe..6e05cd93962a749c6b2e33658406a6b689425b57 100644
--- a/manifests/batches/oproofs/s00002-r00014480-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014480-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014480-n000004",
   "batch_fingerprint": "fcc6966d92122931cf89acd4353e2a09bdbb77a8602f1226f8e492a195dafdde",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14480",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14481",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14482",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14483"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014480.lean\",\"78d9fb9e90da3f086eb278a22e010936e59de6592eb7327a6731d05aac6134eb\",0,\"exists_color_with_three_in_row_and_column\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014481.lean\",\"1351c4cbb45404241de73268e9cd22fad07ca66e40b8addd9fad48fdddb5a613\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014482.lean\",\"3634b5c350603931c20a4559a4f2713afbae9d72c76742e8adf382a55fc09abb\",0,\"a_n_pattern\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014483.lean\",\"21523e2840a5314ce2581a39370269387d87d01fbaf6c63a0cdbc2c677f1d7da\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014480-n000004-0000-52688839bac9056c.parquet",
-      "sha256": "52688839bac9056ca6628f31e202771fadaeb3e2848ac1ad9855ef71a96243ea",
       "bytes": 989768,
+      "path": "data/train/p50/oproofs-s00002-r00014480-n000004-0000-52688839bac9056c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 19,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "52688839bac9056ca6628f31e202771fadaeb3e2848ac1ad9855ef71a96243ea"
     },
     {
-      "path": "data/dev/oproofs-s00002-r00014480-n000004-0000-75f3c4b16c3479cb.parquet",
-      "sha256": "75f3c4b16c3479cb8c987cb7bc42cfdd6a3f67b2af6c7b2b69989c1de71ec1b5",
       "bytes": 104562,
+      "path": "data/dev/p50/oproofs-s00002-r00014480-n000004-0000-75f3c4b16c3479cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "75f3c4b16c3479cb8c987cb7bc42cfdd6a3f67b2af6c7b2b69989c1de71ec1b5"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014480-n000004-0000-c00cc36da23e3f10.parquet",
-      "sha256": "c00cc36da23e3f1098f26c07e6e84a98a1f83b1bf02eec5a55ac6c159457a0ff",
       "bytes": 137726,
+      "path": "data/internal_test/p50/oproofs-s00002-r00014480-n000004-0000-c00cc36da23e3f10.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "c00cc36da23e3f1098f26c07e6e84a98a1f83b1bf02eec5a55ac6c159457a0ff"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14480",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14481",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14482",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14483"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014480.lean\",\"78d9fb9e90da3f086eb278a22e010936e59de6592eb7327a6731d05aac6134eb\",0,\"exists_color_with_three_in_row_and_column\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014481.lean\",\"1351c4cbb45404241de73268e9cd22fad07ca66e40b8addd9fad48fdddb5a613\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014482.lean\",\"3634b5c350603931c20a4559a4f2713afbae9d72c76742e8adf382a55fc09abb\",0,\"a_n_pattern\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014483.lean\",\"21523e2840a5314ce2581a39370269387d87d01fbaf6c63a0cdbc2c677f1d7da\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014484-n000004.json b/manifests/batches/oproofs/s00002-r00014484-n000004.json
index 1a01ceee433cba890be6b2cb3109cde82024cac1..e35f249ff381332c9174e2b579db9a1d4e30f7e2 100644
--- a/manifests/batches/oproofs/s00002-r00014484-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014484-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014484-n000004",
   "batch_fingerprint": "b3f95cb333f9054d3b0fdcd65ccffe792a857c5e7995689c4e0a3be2586412be",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014484-n000004-0000-33b6781797b7d3f3.parquet",
-      "sha256": "33b6781797b7d3f3f4dcbf2dae31bd6c8c961b61fffc6de1d3131274aad65f91",
-      "bytes": 649847,
-      "rows": 21,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14484",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14485",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014485.lean\",\"a5b0215daaa157c8f0151b9c65cf293138eeda8298913517096ac05d6a951bef\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014486.lean\",\"ce55468dd348d0e3ccd670609f7cf2cf437c3042a86be09d0bbb0f3999a3eab5\",0,\"mathd_algebra_120\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014487.lean\",\"935e3b322ad06e3fa7016aa1c873faa92b80ea68fbc9ee09cc7fc0dea1e598f1\",0,\"exists_sum_gt_2020\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 649847,
+      "path": "data/train/p83/oproofs-s00002-r00014484-n000004-0000-33b6781797b7d3f3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "33b6781797b7d3f3f4dcbf2dae31bd6c8c961b61fffc6de1d3131274aad65f91"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014488-n000004.json b/manifests/batches/oproofs/s00002-r00014488-n000004.json
index 37cc07be6070cacf5f1c8df93bef1e3c0b594234..618cbeb7126e9f0283d827214d637b22d71efbc7 100644
--- a/manifests/batches/oproofs/s00002-r00014488-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014488-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014488-n000004",
   "batch_fingerprint": "08d215fafe38656431825730bd0348fab27eb27dd1450165e6d6d412063a1b6e",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014488-n000004-0000-560efc1699088d19.parquet",
-      "sha256": "560efc1699088d199b504c1058f5efca267f2a7b5fc85e5d15a103cfd3c67c53",
-      "bytes": 1525530,
-      "rows": 7,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014488-n000004-0001-c2f62a86867227c4.parquet",
-      "sha256": "c2f62a86867227c4bf36e2315733023bf0d4a4e775aba61a891ef0bae86e9e64",
-      "bytes": 187233,
-      "rows": 11,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14488",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14489",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014489.lean\",\"d4b5c4f70c30423a759f6f345716dfb6b2e1476550ee64c91aaa85d5920e17c1\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014490.lean\",\"a1eb02def4665d5a77a7acf58b71a61d9d185be8445eb129aae349d8f3ee7625\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014491.lean\",\"b5f38a96a6df4dc5851aa3da5119e658aa24f3d4aee870212b1cdae235185ab5\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1525530,
+      "path": "data/train/p68/oproofs-s00002-r00014488-n000004-0000-560efc1699088d19.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "560efc1699088d199b504c1058f5efca267f2a7b5fc85e5d15a103cfd3c67c53"
+    },
+    {
+      "bytes": 187233,
+      "path": "data/train/p68/oproofs-s00002-r00014488-n000004-0001-c2f62a86867227c4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "c2f62a86867227c4bf36e2315733023bf0d4a4e775aba61a891ef0bae86e9e64"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014492-n000004.json b/manifests/batches/oproofs/s00002-r00014492-n000004.json
index e716cd325ff53c3e94a3f62dd8e73c9b1a440ea6..df282e4790237d9a1e9ad405a83d795b03819f64 100644
--- a/manifests/batches/oproofs/s00002-r00014492-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014492-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014492-n000004",
   "batch_fingerprint": "898c000cf62002195c9125d198b84e58da962b41be087a4bdfdd12d16191f822",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014492-n000004-0000-1e088b0b3f0467df.parquet",
-      "sha256": "1e088b0b3f0467df26fadd3e03d55b0cb99200ab5399c8add5c9bdbce4054a04",
-      "bytes": 627899,
-      "rows": 21,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14492",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14493",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014493.lean\",\"634be799df13588a7df79e3387f3982f59b40d1807d55a12df140258a4c00e60\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014494.lean\",\"f5af08d74e7cf10d1ad1c7ecfcf9e6267febb977a554974197282c99deafe91d\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014495.lean\",\"2e77813ec2ea4a87f7a04f8ae41c1863be0b079d20904b5db7c11d813e489c1f\",0,\"halloween_candy\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 627899,
+      "path": "data/train/p83/oproofs-s00002-r00014492-n000004-0000-1e088b0b3f0467df.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "1e088b0b3f0467df26fadd3e03d55b0cb99200ab5399c8add5c9bdbce4054a04"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014496-n000004.json b/manifests/batches/oproofs/s00002-r00014496-n000004.json
index 3d15fd10f4eab6cf8d411771fd98a1b11658b530..dfd328d08e26181109664be716c523334ff614b4 100644
--- a/manifests/batches/oproofs/s00002-r00014496-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014496-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014496-n000004",
   "batch_fingerprint": "9f12348e848509ff11c6dbb5436fc16c6194f848d07cfc90953c6861bc8a1f96",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014496-n000004-0000-a3cecf2f0904ce98.parquet",
-      "sha256": "a3cecf2f0904ce987a6f1b03fb91d68b8bb66edfa9fcd5587eea0f10df87ce1c",
-      "bytes": 884204,
-      "rows": 10,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014496-n000004-0000-10b5d5fdbf83e736.parquet",
-      "sha256": "10b5d5fdbf83e7361afb08269c2899600bbcf21fd388e8c8cabe7da91faaa83c",
-      "bytes": 145660,
-      "rows": 4,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14496",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14497",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014497.lean\",\"cd556481a666333c47e03104d84de8cbfa8c72b75681a6d0748a59be2b454adb\",0,\"inequality1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014498.lean\",\"01d97f5938ed556b9a718e74291adf06c961e4c868981cac6eee0542543a5f40\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014499.lean\",\"fc92e643603a4bd4907bc3a178f11791d1000943a1bdc5b4935d13995ceb48fc\",0,\"theorem_name\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 884204,
+      "path": "data/train/p8e/oproofs-s00002-r00014496-n000004-0000-a3cecf2f0904ce98.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "a3cecf2f0904ce987a6f1b03fb91d68b8bb66edfa9fcd5587eea0f10df87ce1c"
+    },
+    {
+      "bytes": 145660,
+      "path": "data/internal_test/p8e/oproofs-s00002-r00014496-n000004-0000-10b5d5fdbf83e736.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 4,
+      "sha256": "10b5d5fdbf83e7361afb08269c2899600bbcf21fd388e8c8cabe7da91faaa83c"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014500-n000004.json b/manifests/batches/oproofs/s00002-r00014500-n000004.json
index 800c910f144d011b04073fa9531cc78c2ce83b71..e4518441e98ab7fcfb856e2b6f559b070f329850 100644
--- a/manifests/batches/oproofs/s00002-r00014500-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014500-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014500-n000004",
   "batch_fingerprint": "8cfdbb642285854c0efcfaf53d285fab501f5a5a3ddc3d4b79d7d114e86481ca",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014500-n000004-0000-9d80e9ef72341271.parquet",
-      "sha256": "9d80e9ef72341271e997136eb016ea9632cb3d30610979da705ac32825e8495a",
-      "bytes": 398842,
-      "rows": 27,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14500",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14501",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014501.lean\",\"08b8f9306898e13b05dbefbc8de113a35b1363a2f41f734132568b9c023b8b84\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014502.lean\",\"c81fb3b90a81504a183a41e02fd3922a40fd0e3dc9231d344c3a013b3ca2148f\",0,\"sequence_eventually_constant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014503.lean\",\"bb706da498af533d7930ea65be0989c8c312042af20f8969dc5b06fc62035813\",0,\"max_min_sum\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 398842,
+      "path": "data/internal_test/pb6/oproofs-s00002-r00014500-n000004-0000-9d80e9ef72341271.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 27,
+      "sha256": "9d80e9ef72341271e997136eb016ea9632cb3d30610979da705ac32825e8495a"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014504-n000004.json b/manifests/batches/oproofs/s00002-r00014504-n000004.json
index cadb98d2804b8b17d037ef8b0b313b802667a05b..5b7d21cc038b5c508e13ac258a6dec685c943334 100644
--- a/manifests/batches/oproofs/s00002-r00014504-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014504-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014504-n000004",
   "batch_fingerprint": "454ef868aeb78993cba82e645a4729b978e3fc1525ff0bf79e6e94a6051310a2",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014504-n000004-0000-21fd34cfb6cf93b5.parquet",
-      "sha256": "21fd34cfb6cf93b57e763a7b657ac0edfcd3cd9500a9c9584750205fbc13958c",
-      "bytes": 1022302,
-      "rows": 23,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014504-n000004-0001-7fdd34bb70d49fa6.parquet",
-      "sha256": "7fdd34bb70d49fa6e744958f2ce05f2a58e5a74271349f0f6f5dad220464af84",
-      "bytes": 904102,
-      "rows": 3,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14504",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14505",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014505.lean\",\"ddf6e696828a111961af53d616a41a68ef2f75ab69fef21073927ca6ded7f30d\",0,\"a_le_1_and_d_ge_5_over_2\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014506.lean\",\"171dac4d45b6903254af42c74d6cc5f875e1b3d75e37754f3c77e6e1f1518808\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014507.lean\",\"f35a024c993459145619e0b8fbb9957fd91c89862a7f0e43faa511982cf1694e\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1022302,
+      "path": "data/train/p7f/oproofs-s00002-r00014504-n000004-0000-21fd34cfb6cf93b5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 23,
+      "sha256": "21fd34cfb6cf93b57e763a7b657ac0edfcd3cd9500a9c9584750205fbc13958c"
+    },
+    {
+      "bytes": 904102,
+      "path": "data/train/p7f/oproofs-s00002-r00014504-n000004-0001-7fdd34bb70d49fa6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "7fdd34bb70d49fa6e744958f2ce05f2a58e5a74271349f0f6f5dad220464af84"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014508-n000004.json b/manifests/batches/oproofs/s00002-r00014508-n000004.json
index 5832985213fb65d73ea8f7d470ff01e52e79f7bb..3a7b912cb3ff8a5a516956cc69c9612d696ca2e9 100644
--- a/manifests/batches/oproofs/s00002-r00014508-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014508-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014508-n000004",
   "batch_fingerprint": "b5ee9c4af823ce94df89cb3a4f718d04d8164e530a380ceaa650f25b72842b14",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014508-n000004-0000-c62ea8cdcc2a6c7f.parquet",
-      "sha256": "c62ea8cdcc2a6c7f5f6bfda378887ea85e6186f0bd493dd3a54d9f1d74660d5c",
-      "bytes": 319456,
-      "rows": 17,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014508-n000004-0000-00e09a5a2e6253c3.parquet",
-      "sha256": "00e09a5a2e6253c33cb4371b49490938dd44127cf1d535ec22e1d645b33bd77d",
-      "bytes": 319761,
-      "rows": 2,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14508",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14509",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014509.lean\",\"bff49f3eb873715c96267b26f34fb2bde27e58fb16386f1ac21290142ab6bbca\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014510.lean\",\"4386309cf8db121e6d47645646becbb40c50521562fe7761d5ed90bc88126ae2\",0,\"not_surjective\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014511.lean\",\"fbf9f4cb3ab3a3ba5324a64ea267730a02fd80baf8e030e9b15977795224deda\",0,\"log_difference_eq_n\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 319456,
+      "path": "data/train/p54/oproofs-s00002-r00014508-n000004-0000-c62ea8cdcc2a6c7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "c62ea8cdcc2a6c7f5f6bfda378887ea85e6186f0bd493dd3a54d9f1d74660d5c"
+    },
+    {
+      "bytes": 319761,
+      "path": "data/internal_test/p54/oproofs-s00002-r00014508-n000004-0000-00e09a5a2e6253c3.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "00e09a5a2e6253c33cb4371b49490938dd44127cf1d535ec22e1d645b33bd77d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014512-n000004.json b/manifests/batches/oproofs/s00002-r00014512-n000004.json
index 9af186b43285fcd57f2160bab9ce27d1582beb68..2f4aac9881e1777bfc6e9a9b838400eb3806857f 100644
--- a/manifests/batches/oproofs/s00002-r00014512-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014512-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014512-n000004",
   "batch_fingerprint": "7d089d89b571dc6be2e601fc602c372abf2b72469492869fca52beb232b1c89c",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014512-n000004-0000-9191c4be46b26d4e.parquet",
-      "sha256": "9191c4be46b26d4ee7fa960a7e21647b57cf6a82fc0964d267e8db3e60b6767e",
-      "bytes": 241315,
-      "rows": 8,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14512",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14513",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014513.lean\",\"e9dd965ed0da6450d263dc4cc942813425defc9ada7d044fb9b2b600509ffbfc\",0,\"problem1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014514.lean\",\"102e4d861a7ad559b3bff7eb3364e9f23d00412171af63b7a703fc1a66a032e3\",0,\"values_of_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014515.lean\",\"78fbc1b32f603709abd1390443f1664e6aed581eac5e78bec39c3f62fef77bee\",0,\"problem1\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 241315,
+      "path": "data/train/p4a/oproofs-s00002-r00014512-n000004-0000-9191c4be46b26d4e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9191c4be46b26d4ee7fa960a7e21647b57cf6a82fc0964d267e8db3e60b6767e"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014516-n000004.json b/manifests/batches/oproofs/s00002-r00014516-n000004.json
index c4d84e8ce3c29f95d3e3d81d3a85abb03802a4cc..6b763b42694ce088c33efedb84bd3f915fc27dfb 100644
--- a/manifests/batches/oproofs/s00002-r00014516-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014516-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014516-n000004",
   "batch_fingerprint": "6ee79ef81695154c0074b30699e0191c4aad8cc63601dcd0270ff76ca2503552",
   "evidence": {
@@ -42,22 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014516-n000004-0000-fb45209d1e52ef7c.parquet",
-      "sha256": "fb45209d1e52ef7c514140b55357228b1659be97e064173d99148cbb8f35c3c7",
-      "bytes": 746718,
-      "rows": 17,
-      "revision": "58f425cbc16975e050fc6391a9e1a1d550c90fcc"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000014/oproofs-s00002-r00014516-n000004-0000-476f5d7ed824052c.parquet",
-      "sha256": "476f5d7ed824052cbfc701660a399afb7f8d7b72a19e066b9c554d106e4a75d2",
-      "bytes": 143665,
-      "rows": 5,
-      "revision": "58f425cbc16975e050fc6391a9e1a1d550c90fcc"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14516",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14517",
@@ -67,5 +51,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014516.lean\",\"c141c79f951408248201779763bef7536353cfe913bafe1937c0a3a7787b0020\",0,\"part1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014517.lean\",\"9348037d35659e5e00fefe947660668ced939f31969a1793f5ca7e1a3a1295ac\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014519.lean\",\"239f631b4b0029dc08ea565ee7ccb8ca101d639872b1427d4359d6177494bece\",0,\"all_ordered_triples\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 746718,
+      "path": "data/train/p35/oproofs-s00002-r00014516-n000004-0000-fb45209d1e52ef7c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "fb45209d1e52ef7c514140b55357228b1659be97e064173d99148cbb8f35c3c7"
+    },
+    {
+      "bytes": 143665,
+      "path": "data/dev/p35/oproofs-s00002-r00014516-n000004-0000-476f5d7ed824052c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "476f5d7ed824052cbfc701660a399afb7f8d7b72a19e066b9c554d106e4a75d2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014520-n000004.json b/manifests/batches/oproofs/s00002-r00014520-n000004.json
index fe338b59e797710d99ad79950f729cc42bc3a301..47e9da2f0dc5920cc73adef353105c177017cfdf 100644
--- a/manifests/batches/oproofs/s00002-r00014520-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014520-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014520-n000004",
   "batch_fingerprint": "7905ac060f9669ba533909f12fe29e49f5a9c47355af68dd2da098a8396789f4",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014520-n000004-0000-5b240a3d2700e480.parquet",
-      "sha256": "5b240a3d2700e4805cd41e4b2d024a81e37a36e375f918d5ba2c52b543699a78",
-      "bytes": 578896,
-      "rows": 15,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014520-n000004-0000-68f52681dd9a5f71.parquet",
-      "sha256": "68f52681dd9a5f717c9fa44915f83ce189778e2f5b580862fe79d93da9075c1d",
-      "bytes": 452699,
-      "rows": 8,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14520",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14521",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014521.lean\",\"22020ba1c9694cf5117200fb7cc9821be5d5b590128e8b2d19fb94678e1b0a99\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014522.lean\",\"d509b9d08ba81a5600c186365a36cdb7675622f83910e5095298dbd788b5c928\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014523.lean\",\"793006efadbe03a96445d104f3a2bf046114af565d1e8012b5ec82e238cdc99d\",0,\"part_a\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 578896,
+      "path": "data/train/p42/oproofs-s00002-r00014520-n000004-0000-5b240a3d2700e480.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "5b240a3d2700e4805cd41e4b2d024a81e37a36e375f918d5ba2c52b543699a78"
+    },
+    {
+      "bytes": 452699,
+      "path": "data/internal_test/p42/oproofs-s00002-r00014520-n000004-0000-68f52681dd9a5f71.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "68f52681dd9a5f717c9fa44915f83ce189778e2f5b580862fe79d93da9075c1d"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014524-n000004.json b/manifests/batches/oproofs/s00002-r00014524-n000004.json
index 26e31fd2da7e7a3242979788a88e4334f5693c4c..278d144c257a4b0c6a7911770d539e92ad73ab2e 100644
--- a/manifests/batches/oproofs/s00002-r00014524-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014524-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014524-n000004",
   "batch_fingerprint": "e6c6063b890c3747444fb224597e0e626da7b4bf077574b1382ec8064abc05f4",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014524-n000004-0000-1235bfb7402ea4b4.parquet",
-      "sha256": "1235bfb7402ea4b4de7c555957404918151f7d31762e11e081e3e0fef1da77db",
-      "bytes": 235012,
-      "rows": 19,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14524",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14525",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014525.lean\",\"750b7b3a91828574f9d598d6f5a982cc3cac4ca2799ad806a8337bc175cd32dc\",0,\"f_domain_condition\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014526.lean\",\"59fb7db4a456ff953215c06ea930719c5b818a5f88f434b20f5864631da8fcc4\",0,\"math_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014527.lean\",\"87a88ee7e80201d5b5a1ba746d755eb19d8908db1d114b31d3e05007b2ba8632\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 235012,
+      "path": "data/train/p72/oproofs-s00002-r00014524-n000004-0000-1235bfb7402ea4b4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "1235bfb7402ea4b4de7c555957404918151f7d31762e11e081e3e0fef1da77db"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014528-n000004.json b/manifests/batches/oproofs/s00002-r00014528-n000004.json
index 056e74b3b17d50cad3a688b04a263545aa5ce166..09fa7bac2d2c59575658316dde110f3da77d2a30 100644
--- a/manifests/batches/oproofs/s00002-r00014528-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014528-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014528-n000004",
   "batch_fingerprint": "c45839ee6fc02be36c5a50b6da672ddb1fe33b00741726fab32166a9b4228d27",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014528-n000004-0000-7e1f04dc7a423645.parquet",
-      "sha256": "7e1f04dc7a42364541f8ef92ec5431055bacd30d81e59c070287ba54a5adc0ee",
-      "bytes": 76892,
-      "rows": 7,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014528-n000004-0000-26cbfa1b0cda4828.parquet",
-      "sha256": "26cbfa1b0cda4828d4e216095a193a0c503773a363d5612fae82c6cb68a4eee7",
-      "bytes": 163612,
-      "rows": 8,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14528",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14529",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014529.lean\",\"c486499c856e26025d7a9a9c0f78e1ec3d8f7ced77c084d8be74c16a41f2785f\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014530.lean\",\"eebb902d48c927d547cb6429a2173faf7a34529fcf5df19327d4fac0738267c7\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014531.lean\",\"4c40a6b9ecfe56b23024d2dd12add1e8575d299e5b8cb9f7da0c57acfacac5c5\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 76892,
+      "path": "data/train/pe8/oproofs-s00002-r00014528-n000004-0000-7e1f04dc7a423645.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 7,
+      "sha256": "7e1f04dc7a42364541f8ef92ec5431055bacd30d81e59c070287ba54a5adc0ee"
+    },
+    {
+      "bytes": 163612,
+      "path": "data/internal_test/pe8/oproofs-s00002-r00014528-n000004-0000-26cbfa1b0cda4828.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "26cbfa1b0cda4828d4e216095a193a0c503773a363d5612fae82c6cb68a4eee7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014532-n000004.json b/manifests/batches/oproofs/s00002-r00014532-n000004.json
index 3d29f125a5d47e8b487e5e998ff6751bfbfe9cda..30204397292e381ca4a259ce2f9ca12be606cac6 100644
--- a/manifests/batches/oproofs/s00002-r00014532-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014532-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014532-n000004",
   "batch_fingerprint": "190c58c8d40579dbfd50c5d95c51720c5be57e5be58f22f48053b63d934ef092",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014532-n000004-0000-5919e204f916f8bc.parquet",
-      "sha256": "5919e204f916f8bcf1a7e319eeee7aad4bcc92bbac21a3ffaa6f5c3c019c1c51",
-      "bytes": 861926,
-      "rows": 20,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014532-n000004-0001-ddd3a6b3be8db154.parquet",
-      "sha256": "ddd3a6b3be8db1541c30c372a41e7f9ca68b5997873d853a3ef4f06cab5f2994",
-      "bytes": 1268357,
-      "rows": 6,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14532",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14533",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014533.lean\",\"cf740a66847b5256b3b30d2ac12a9485c3f71c4b6404df8ba109e0bd192f06ae\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014534.lean\",\"47bceebfb435ac5effb13612d174a6f349bbdd515a53d5dd0b517dea1f0337f2\",0,\"sin_cos_orthogonal\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014535.lean\",\"1b37386171f3487c880e57765699859a14b2a25b222e8ae27aeaebaf442268eb\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 861926,
+      "path": "data/train/p22/oproofs-s00002-r00014532-n000004-0000-5919e204f916f8bc.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "5919e204f916f8bcf1a7e319eeee7aad4bcc92bbac21a3ffaa6f5c3c019c1c51"
+    },
+    {
+      "bytes": 1268357,
+      "path": "data/train/p22/oproofs-s00002-r00014532-n000004-0001-ddd3a6b3be8db154.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "ddd3a6b3be8db1541c30c372a41e7f9ca68b5997873d853a3ef4f06cab5f2994"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014540-n000004.json b/manifests/batches/oproofs/s00002-r00014540-n000004.json
index 888b7ecffc8d29456b2ed924f694cc6903716e9d..33a6b216f98fc34e8b24bc1be4bf4e4c7e90dbe6 100644
--- a/manifests/batches/oproofs/s00002-r00014540-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014540-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014540-n000004",
   "batch_fingerprint": "7d32d3246b7df7076c789ae9990dcba7f5a2b7f286d39875746bb4fa055b2477",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014540-n000004-0000-7829fab9d3c78524.parquet",
-      "sha256": "7829fab9d3c7852491d4a3d1f857cf14786739a5ffe620c7455904fc2c5450f2",
-      "bytes": 518064,
-      "rows": 13,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14540",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14541",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014541.lean\",\"8020632c9bbc89237091ec62b13ea1f5a8a8d88239609509b07cf5b9c79452ba\",0,\"gcd_of_abs_ac_sub_bd_eq_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014542.lean\",\"4987ee98ea01036b33536ad02738cd12c7c2fbc285db4790e246370454b7ed78\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014543.lean\",\"e468fe9250438527a4931e039ecb31453618a5c49aacc6b8d2c061d8f5bed8d1\",0,\"sum_sine_imp_sum_cosine\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 518064,
+      "path": "data/train/p3a/oproofs-s00002-r00014540-n000004-0000-7829fab9d3c78524.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "7829fab9d3c7852491d4a3d1f857cf14786739a5ffe620c7455904fc2c5450f2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014544-n000004.json b/manifests/batches/oproofs/s00002-r00014544-n000004.json
index 7f9e10f6886b849bafbdc9db1cf4da7182a2e635..530fa05ec7fb3909072f6e41623b4caac27b9d37 100644
--- a/manifests/batches/oproofs/s00002-r00014544-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014544-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014544-n000004",
   "batch_fingerprint": "0c24507a3af6935b5cebd6c0da7a5131adaf3d47379713f17c9983cef488c6ff",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014544-n000004-0000-4180ab82c67bb904.parquet",
-      "sha256": "4180ab82c67bb90428d34063ffbef32bd796f5c951573fa536fd5de0d7a95bcb",
-      "bytes": 217516,
-      "rows": 10,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14544",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14545",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014545.lean\",\"fb778f6d493c403992e2c74ba587f811498d586fc6c630efa25b2c397032478e\",0,\"unique_solution\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014546.lean\",\"4a480b6f583879f6770a155cb7683effa3e2c6bfcc0704e6d1c6f0955261812b\",0,\"exists_color_with_three_in_row_and_column\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014547.lean\",\"8e00223dcff155e3272db5d094a79d298189d68569ebef7dbf6f906dbff4ff93\",0,\"injective_f\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 217516,
+      "path": "data/train/pbd/oproofs-s00002-r00014544-n000004-0000-4180ab82c67bb904.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 10,
+      "sha256": "4180ab82c67bb90428d34063ffbef32bd796f5c951573fa536fd5de0d7a95bcb"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014548-n000004.json b/manifests/batches/oproofs/s00002-r00014548-n000004.json
index 6426f45fb4276184a17684973359ced37ff88d3b..b2812340fec705599ea88870a601cc3f00f32fc2 100644
--- a/manifests/batches/oproofs/s00002-r00014548-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014548-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014548-n000004",
   "batch_fingerprint": "ec3d2bf7451770ed4a78107b3d4a76a8c2a9e89e4d82cf02125788d095f47abc",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014548-n000004-0000-a4cbb01d9877455b.parquet",
-      "sha256": "a4cbb01d9877455b122b5c3988740ef9287b3b85ae4b48758bc48b30263c82f7",
-      "bytes": 606435,
-      "rows": 17,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14548",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14549",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014549.lean\",\"aaf150add3d2c655c41b15d1588faac9b5abfb7e8eb2718c915dc58f081677e2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014550.lean\",\"65018c0b0e6fcc62b7cf1517642549bb6f78f10a9e02599ba610e6bfe1f3135e\",0,\"exists_sum_gt_2020\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014551.lean\",\"9a1f5d2ae26bdd1891c44ee10df8c36fccdac7833096e305ca1b6f3bb49049ab\",0,\"mathd_algebra_120\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 606435,
+      "path": "data/train/pd5/oproofs-s00002-r00014548-n000004-0000-a4cbb01d9877455b.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 17,
+      "sha256": "a4cbb01d9877455b122b5c3988740ef9287b3b85ae4b48758bc48b30263c82f7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014552-n000004.json b/manifests/batches/oproofs/s00002-r00014552-n000004.json
index 60476f5b9624add3c49b2803ec1e340baf785a93..1d71961c82eb71ef15e9007a2abe6a7f14695ef8 100644
--- a/manifests/batches/oproofs/s00002-r00014552-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014552-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014552-n000004",
   "batch_fingerprint": "ca01c611749c400634bc6428414ad88f95506f9b3e7b53917122622e98c67bdf",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014552-n000004-0000-49bd1ce59cd8278e.parquet",
-      "sha256": "49bd1ce59cd8278e0f4deddf4641c27263b5aca704f795761fd2b5dd7ccbc384",
-      "bytes": 1219412,
-      "rows": 18,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    },
-    {
-      "path": "data/train/oproofs-s00002-r00014552-n000004-0001-ebc9f31bdd4ccc31.parquet",
-      "sha256": "ebc9f31bdd4ccc3158c5e7136b97666e76dc39c522bdc9e52ad880436b8552b7",
-      "bytes": 243710,
-      "rows": 9,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14552",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14553",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014553.lean\",\"d0aa374a1f7abd6e19f4c28e3d121167d6bc3a3320832441f48e6530b4a946ba\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014554.lean\",\"a307e4de83531d3f76313c9b24684d4d71d78afc5e647260cfc0bb9ea352b28a\",0,\"problem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014555.lean\",\"78e6017e5d3159decf9a1345eedc4eb9d5940afe253e1a3fa5afbffe9e742992\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 1219412,
+      "path": "data/train/p74/oproofs-s00002-r00014552-n000004-0000-49bd1ce59cd8278e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "49bd1ce59cd8278e0f4deddf4641c27263b5aca704f795761fd2b5dd7ccbc384"
+    },
+    {
+      "bytes": 243710,
+      "path": "data/train/p74/oproofs-s00002-r00014552-n000004-0001-ebc9f31bdd4ccc31.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "ebc9f31bdd4ccc3158c5e7136b97666e76dc39c522bdc9e52ad880436b8552b7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014556-n000004.json b/manifests/batches/oproofs/s00002-r00014556-n000004.json
index e777604b311d642c4cbe7debda3da1971b7420d5..201f327a1b1ad005e20c0bfb5aed95bac6e30563 100644
--- a/manifests/batches/oproofs/s00002-r00014556-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014556-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014556-n000004",
   "batch_fingerprint": "307e6c75d27d689664e99c04a2cd3e21447a72abb24ff0b37f90ff0eafc7e440",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014556-n000004-0000-222e7ab9f9e95b47.parquet",
-      "sha256": "222e7ab9f9e95b47c3fb9449eabe9c18b82b7c20e1171781388566f0ccf73be1",
-      "bytes": 655001,
-      "rows": 15,
-      "revision": "0c91bf5b226c8a3d526849dce41d9251f628af3e"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14556",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14557",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014557.lean\",\"2d0a6fdf22ad12aabd92a98d813ab9277e5f0484bbe5cc8fcf9ee6ca0be56f46\",0,\"circle_radius\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014558.lean\",\"af773eb8642de7f17df66b4185e3ce18e6dc45590530592e56229b730ecaa6c2\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014559.lean\",\"1bbfaae9aa274f80640a9e62ca44e52657645333682f620dfda78eeac738c1c7\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 655001,
+      "path": "data/train/p6a/oproofs-s00002-r00014556-n000004-0000-222e7ab9f9e95b47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "222e7ab9f9e95b47c3fb9449eabe9c18b82b7c20e1171781388566f0ccf73be1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014560-n000004.json b/manifests/batches/oproofs/s00002-r00014560-n000004.json
index c4982675c708d82c008f6fa3e034014c8d197a7e..13d73400682bc105f91629b08c8bca8b35ea476f 100644
--- a/manifests/batches/oproofs/s00002-r00014560-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014560-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014560-n000004",
   "batch_fingerprint": "73a0aceee1c4a06881b263e88cb6f75766530bfd5fbd02e881cd4f77157bb8f4",
   "evidence": {
@@ -19,39 +18,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14560",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14561",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14562",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14563"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014560.lean\",\"d9e40776b2910f79200f3295d5899b9a496c882c3007a9f9a1ce7317d4c7faa0\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014561.lean\",\"0cedff5807c3cf9bc85b6292dc49a066333a81929be63ca0a3db76c47a529e16\",0,\"theorem_name\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014562.lean\",\"bbf3933c633050dbe74184f27c1cc6430caf0b031615a87c0aaa2bb160c33f17\",0,\"inequality1\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014563.lean\",\"1eb5be554c0a9ee6f1a54f219c0e9a97d4237742937bf9b5c79ff96f71e604fb\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs-s00002-r00014560-n000004-0000-81e7943f5c6f0864.parquet",
-      "sha256": "81e7943f5c6f08643431a15fa4a7c252f206cf95a75a20852274a09d8ff0a4fe",
       "bytes": 604180,
+      "path": "data/train/p9b/oproofs-s00002-r00014560-n000004-0000-81e7943f5c6f0864.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "81e7943f5c6f08643431a15fa4a7c252f206cf95a75a20852274a09d8ff0a4fe"
     },
     {
-      "path": "data/train/oproofs-s00002-r00014560-n000004-0001-fc588c9d5345d777.parquet",
-      "sha256": "fc588c9d5345d777c7058812e7da68f86a2dfeab39e9add2e2962b6cf0db93ca",
       "bytes": 514645,
+      "path": "data/train/p9b/oproofs-s00002-r00014560-n000004-0001-fc588c9d5345d777.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 4,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "fc588c9d5345d777c7058812e7da68f86a2dfeab39e9add2e2962b6cf0db93ca"
     },
     {
-      "path": "data/internal_test/oproofs-s00002-r00014560-n000004-0000-d640aa30dc08fe32.parquet",
-      "sha256": "d640aa30dc08fe320c3971c6af4b05abb6e85f7c50617307883d81110bbbcd08",
       "bytes": 168379,
+      "path": "data/internal_test/p9b/oproofs-s00002-r00014560-n000004-0000-d640aa30dc08fe32.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 6,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
+      "sha256": "d640aa30dc08fe320c3971c6af4b05abb6e85f7c50617307883d81110bbbcd08"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14560",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14561",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14562",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14563"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014560.lean\",\"d9e40776b2910f79200f3295d5899b9a496c882c3007a9f9a1ce7317d4c7faa0\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014561.lean\",\"0cedff5807c3cf9bc85b6292dc49a066333a81929be63ca0a3db76c47a529e16\",0,\"theorem_name\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014562.lean\",\"bbf3933c633050dbe74184f27c1cc6430caf0b031615a87c0aaa2bb160c33f17\",0,\"inequality1\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014563.lean\",\"1eb5be554c0a9ee6f1a54f219c0e9a97d4237742937bf9b5c79ff96f71e604fb\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014568-n000004.json b/manifests/batches/oproofs/s00002-r00014568-n000004.json
index ccedd65a6d530dab5c7faacd2b9b070c55375781..1ce21a98732b4ab5d003baa16179d247861d871a 100644
--- a/manifests/batches/oproofs/s00002-r00014568-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014568-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014568-n000004",
   "batch_fingerprint": "d86dccb9ce6c8cb0297554feb45addf5bff6cb7fb601dbddcbb3161d33f049ab",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014568-n000004-0000-ba2d283839ebcc90.parquet",
-      "sha256": "ba2d283839ebcc905dfc92db93f36f41de6c647fb0af50fcd336d9068c626b35",
-      "bytes": 567221,
-      "rows": 13,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14568",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14569",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014569.lean\",\"dacc459e66875b04717a5ac7a3bc83e41b08a83a82dd34c2e9d49f6054a24a66\",0,\"minimal_pairwise_coprime_sum_96\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014570.lean\",\"3e8fcb64e993381d1f692feb53111710bbb8976b3eb078e04b3f972e6fddbb7a\",0,\"f_deriv\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014571.lean\",\"27bcffd6a9bcb04ef329783a31145ed2101740afa146398c74e50ace6e8abff2\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 567221,
+      "path": "data/train/pe0/oproofs-s00002-r00014568-n000004-0000-ba2d283839ebcc90.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "ba2d283839ebcc905dfc92db93f36f41de6c647fb0af50fcd336d9068c626b35"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014572-n000004.json b/manifests/batches/oproofs/s00002-r00014572-n000004.json
index 2336ebd5e7cb60d7a349bb9eb18aa805c9dd620b..d90bbf26d55fde83f55fb9f86a7734f36e5201cb 100644
--- a/manifests/batches/oproofs/s00002-r00014572-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014572-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014572-n000004",
   "batch_fingerprint": "19bc61f467f31cc9c1a7377c0818efa667a31b83a701e9176026304b3fea136c",
   "evidence": {
@@ -20,15 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014572-n000004-0000-8b64385db67bb3f0.parquet",
-      "sha256": "8b64385db67bb3f0eddd120b0a22d79ad79dd82a4ede94c014c5547e3c9a73ad",
-      "bytes": 920125,
-      "rows": 18,
-      "revision": "fc20deae7e0634960a01093bed1f703fe6b3c43d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14572",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14573",
@@ -40,5 +31,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014573.lean\",\"8c42e6f14c0bae07feb29f944e27005ab7b7d91170f360255dcc71c58de6944f\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014574.lean\",\"306a4ac5b9993e388f2dd22b7d02f7940329f7a728956535007e2915c7c55c2f\",0,\"not_surjective\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014575.lean\",\"8ae00646b7ab7f68f99d8ccccbe8ad80fd65fbbf7414dddfb437e10bdae54dfd\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 920125,
+      "path": "data/train/p99/oproofs-s00002-r00014572-n000004-0000-8b64385db67bb3f0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 18,
+      "sha256": "8b64385db67bb3f0eddd120b0a22d79ad79dd82a4ede94c014c5547e3c9a73ad"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014580-n000004.json b/manifests/batches/oproofs/s00002-r00014580-n000004.json
index b3631cf30156b88ccb496fe30cc0096bbe364d93..606a66ec51deff4fe357e73c9a45d75498c84bc4 100644
--- a/manifests/batches/oproofs/s00002-r00014580-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014580-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014580-n000004",
   "batch_fingerprint": "c469a803d9d71bf52db0ab73ba5178b196bbd3fbd55bde9202223cbeb8c199bc",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014580-n000004-0000-7ce4444c41347ad5.parquet",
-      "sha256": "7ce4444c41347ad57913bbdf43dd9e0cbedd70550818ebd545c5323772833011",
-      "bytes": 353929,
-      "rows": 11,
-      "revision": "fc20deae7e0634960a01093bed1f703fe6b3c43d"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000014/oproofs-s00002-r00014580-n000004-0000-4eabd11d7018fef0.parquet",
-      "sha256": "4eabd11d7018fef0004ef6b0ec4a1ba3fdb7f00135fbe83fe80318a52ce2635f",
-      "bytes": 135705,
-      "rows": 5,
-      "revision": "fc20deae7e0634960a01093bed1f703fe6b3c43d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14580",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14581",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014581.lean\",\"a9a42d2bfe0ed155a3105daeab1d77a5b84bacb5d8adb10236df80f20b5807ef\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014582.lean\",\"a610104f6ff9873fc43987b717b17cf17b9ab070946fc956c1a4e297b2e1dce6\",0,\"problem1\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014583.lean\",\"73e90445dc450e835cb4c4b5cb91d091ddaef5e449b0a5fd9228d8c781b45b6e\",0,\"part_a\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 353929,
+      "path": "data/train/pa1/oproofs-s00002-r00014580-n000004-0000-7ce4444c41347ad5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "7ce4444c41347ad57913bbdf43dd9e0cbedd70550818ebd545c5323772833011"
+    },
+    {
+      "bytes": 135705,
+      "path": "data/dev/pa1/oproofs-s00002-r00014580-n000004-0000-4eabd11d7018fef0.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 5,
+      "sha256": "4eabd11d7018fef0004ef6b0ec4a1ba3fdb7f00135fbe83fe80318a52ce2635f"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014588-n000004.json b/manifests/batches/oproofs/s00002-r00014588-n000004.json
index c5ed5758614b2870dfb46ccd404c94dfb7ba253c..e6355ad2c5db6e72fb10682181ec8fb8eaeeea96 100644
--- a/manifests/batches/oproofs/s00002-r00014588-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014588-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014588-n000004",
   "batch_fingerprint": "14575c514fd23328fba65e30632acc190f28b2484cbf2a67a2622afe8e3d2064",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs-s00002-r00014588-n000004-0000-77403e31c5d5e0cb.parquet",
-      "sha256": "77403e31c5d5e0cbd249e697d7cb94c0366415a1141941602bfb45674cde6219",
-      "bytes": 572892,
-      "rows": 21,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    },
-    {
-      "path": "data/internal_test/oproofs-s00002-r00014588-n000004-0000-c2f7ccf0d0bfa03a.parquet",
-      "sha256": "c2f7ccf0d0bfa03a6802a98b08ee2c1682fad4327cda047db7c4563de7f9cb93",
-      "bytes": 274387,
-      "rows": 6,
-      "revision": "70f765ba3c398d563f04d2118562beb2c777ca33"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14588",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14589",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014589.lean\",\"8412fd06ea9b743288d584772ccc7ff5cfc95ca447e45b13e2e6db9ef0aab647\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014590.lean\",\"d513ac2efbc8b448e828e278c99a8e89998c23c18c1a044335d743ea75c15ffb\",0,\"math_problem\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014591.lean\",\"6cb48c14ba2d2aa161abf22ef2ef55dbee214cb87fde07351a3fb9831a61f438\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 572892,
+      "path": "data/train/p50/oproofs-s00002-r00014588-n000004-0000-77403e31c5d5e0cb.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 21,
+      "sha256": "77403e31c5d5e0cbd249e697d7cb94c0366415a1141941602bfb45674cde6219"
+    },
+    {
+      "bytes": 274387,
+      "path": "data/internal_test/p50/oproofs-s00002-r00014588-n000004-0000-c2f7ccf0d0bfa03a.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "c2f7ccf0d0bfa03a6802a98b08ee2c1682fad4327cda047db7c4563de7f9cb93"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014592-n000004.json b/manifests/batches/oproofs/s00002-r00014592-n000004.json
index d8b2c7d0f39a18f2dc8235d109f3dd2e1bac87be..a35826c3c5bc7456817eda55d1283a4a3542f650 100644
--- a/manifests/batches/oproofs/s00002-r00014592-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014592-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014592-n000004",
   "batch_fingerprint": "298c85a17070d480f1b5c658a667076023eab0e3c2c338b2ae53f376532ae6ea",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014592-n000004-0000-91382ccd1e3beb7f.parquet",
-      "sha256": "91382ccd1e3beb7f28d18ff5305f201825bb506d20c25cc65dcd0da0b1eb1fd3",
-      "bytes": 155049,
-      "rows": 13,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014592-n000004-0000-dcc47b111021482e.parquet",
-      "sha256": "dcc47b111021482ebe613876896766dc53b146fd00fb05da3ae880162f828d30",
-      "bytes": 150915,
-      "rows": 8,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14592",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14593",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014593.lean\",\"e1a84c49efa0b8b3c884581b6be7dc5cacc172a061361220e16f597b0f8a5e8c\",0,\"limit_x2_sin_2x_inv\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014594.lean\",\"08d14f2ad3921ee20deac8c5ab2133378c20be46e55184d8f5540d9b298d3ea4\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014595.lean\",\"e094f7c58e6d01562e326bf092f3962685018b167b3fb140c40eae7c88d3c456\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 155049,
+      "path": "data/train/p5d/oproofs-s00002-r00014592-n000004-0000-91382ccd1e3beb7f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 13,
+      "sha256": "91382ccd1e3beb7f28d18ff5305f201825bb506d20c25cc65dcd0da0b1eb1fd3"
+    },
+    {
+      "bytes": 150915,
+      "path": "data/internal_test/p5d/oproofs-s00002-r00014592-n000004-0000-dcc47b111021482e.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "dcc47b111021482ebe613876896766dc53b146fd00fb05da3ae880162f828d30"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014600-n000004.json b/manifests/batches/oproofs/s00002-r00014600-n000004.json
index 25a8fe14f42743f957db2a2ae95a499ecb8b2999..77dc2346847109c3b8daea4c40f59109a032fa5e 100644
--- a/manifests/batches/oproofs/s00002-r00014600-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014600-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014600-n000004",
   "batch_fingerprint": "c6ee5e697f5ab6d44ea5bd550c3adf7818e5638742b26e0adcea5b4c430ded84",
   "evidence": {
@@ -42,15 +41,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014600-n000004-0000-bd4421a4065c8d47.parquet",
-      "sha256": "bd4421a4065c8d470a19221d7c94b6f1f6e04576cce9e14b862295cdf309d3b5",
-      "bytes": 119552,
-      "rows": 9,
-      "revision": "fc20deae7e0634960a01093bed1f703fe6b3c43d"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14601",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14602",
@@ -60,5 +51,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014601.lean\",\"93f7ab464dab3e3dfd3934122fdfba76894ac0e19eb2c291812fe552e92084c7\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014602.lean\",\"82f73161b8ad58e07363f6f0d5b869b7852547a51bd5d3aff902c84246a2d71a\",0,\"part_a\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014603.lean\",\"02246c3a288c5b4caea29a3e7555b2bafc0fde13ac7c7fc00304bdd7345c0797\",0,\"unique_solution\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 119552,
+      "path": "data/train/p3e/oproofs-s00002-r00014600-n000004-0000-bd4421a4065c8d47.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "bd4421a4065c8d470a19221d7c94b6f1f6e04576cce9e14b862295cdf309d3b5"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014604-n000004.json b/manifests/batches/oproofs/s00002-r00014604-n000004.json
index 4dae1a18309ac9289dc836aaddf4fffd8016a2b1..2d3db79e02c3f288b1d5761012c0bd8aa0eef581 100644
--- a/manifests/batches/oproofs/s00002-r00014604-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014604-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014604-n000004",
   "batch_fingerprint": "39e9be6d7dc026616970b1049d8abe6bbc7cfce2675cad2df0ef4accdbcffc07",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014604-n000004-0000-b2eabbba80544d49.parquet",
-      "sha256": "b2eabbba80544d499395cb219bf1dda73f6e30a759098520640607731b95f8fa",
-      "bytes": 628575,
-      "rows": 19,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14604",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14605",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014605.lean\",\"ecd28ba761d35f5adc141b00a1a1464b5e7bbfadf8b867609290ca710937e4ca\",0,\"gcd_of_abs_ac_sub_bd_eq_one\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014606.lean\",\"7a74fec7131e755a902139007e1d60fb78d851af57f9aa43deecf401501df728\",0,\"sum_sine_imp_sum_cosine\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014607.lean\",\"675345c908c4b8f99594d660bb8ec1a545f3c868403b0cb2e2be578edf3d54b7\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 628575,
+      "path": "data/train/pa9/oproofs-s00002-r00014604-n000004-0000-b2eabbba80544d49.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 19,
+      "sha256": "b2eabbba80544d499395cb219bf1dda73f6e30a759098520640607731b95f8fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014608-n000004.json b/manifests/batches/oproofs/s00002-r00014608-n000004.json
index bf894822b2084178d6b842014094ac80f08802ba..5f97f8136503b49f778acadc97ec4d16967034a2 100644
--- a/manifests/batches/oproofs/s00002-r00014608-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014608-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014608-n000004",
   "batch_fingerprint": "55df6d3b35643ea63d7cad48e44d90c3f62a6a4ede87bd6264e848a3765aacbe",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014608-n000004-0000-9b4e876efdb44756.parquet",
-      "sha256": "9b4e876efdb44756d23630f2fe941bb9f942596802436f152bb6f68aefa44a3d",
-      "bytes": 336577,
-      "rows": 8,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014608-n000004-0000-cf00a5cfb50d0479.parquet",
-      "sha256": "cf00a5cfb50d0479604b40f23c647ce262acdd9107e334f1d67e5349eae842fa",
-      "bytes": 120169,
-      "rows": 3,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14608",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14609",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014609.lean\",\"fa31dc9758f0b95940ab63880509c0595e673c5e127b010b150b25c6109e2d68\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014610.lean\",\"d09028f8988407d7aee425cb9525e51df33794574e04fc74b65e23efd5208a81\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014611.lean\",\"903902380e755d427f87454a5c060ca5fde3615363b652dc44ca1a90146e4d82\",0,\"omo_peiro_lemma\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 336577,
+      "path": "data/train/p67/oproofs-s00002-r00014608-n000004-0000-9b4e876efdb44756.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "9b4e876efdb44756d23630f2fe941bb9f942596802436f152bb6f68aefa44a3d"
+    },
+    {
+      "bytes": 120169,
+      "path": "data/internal_test/p67/oproofs-s00002-r00014608-n000004-0000-cf00a5cfb50d0479.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "cf00a5cfb50d0479604b40f23c647ce262acdd9107e334f1d67e5349eae842fa"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014612-n000004.json b/manifests/batches/oproofs/s00002-r00014612-n000004.json
index d8877d3cfc08bb3619d22d16486126bdc05602f4..cd359a15c4655f788cea24c89e397036f30a8f2d 100644
--- a/manifests/batches/oproofs/s00002-r00014612-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014612-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014612-n000004",
   "batch_fingerprint": "cf03c8914e8b24ebf8b79e4da314b27d9bbb133637fb4a0a7077194ae201e050",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014612-n000004-0000-83b0df6fe9315fb6.parquet",
-      "sha256": "83b0df6fe9315fb67f09694b2c701bfce48e6b9cc18488d242aeb29669417b21",
-      "bytes": 657333,
-      "rows": 20,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14612",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14613",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014613.lean\",\"83b6405191831517f685baf941e39445461f0f195ea67044de1408a7717c120f\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014614.lean\",\"0ce57a7bd8dc28d73332116119103cee602f272a6efabe3ca80eb0f8c1574678\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014615.lean\",\"7197785731ba9dcfd241d56dc342245c6702fb72d360cc13c7d2ea41d7fc5e0d\",0,\"circle_radius\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 657333,
+      "path": "data/train/pd8/oproofs-s00002-r00014612-n000004-0000-83b0df6fe9315fb6.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "83b0df6fe9315fb67f09694b2c701bfce48e6b9cc18488d242aeb29669417b21"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014616-n000004.json b/manifests/batches/oproofs/s00002-r00014616-n000004.json
index 38566ef6de8ebab98ccdea06cffb623932c9a56b..b21d8fa14c559262efd3bd5ba1cad43c5bda0824 100644
--- a/manifests/batches/oproofs/s00002-r00014616-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014616-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014616-n000004",
   "batch_fingerprint": "d7f9a0023b1eb60041252d92a9c5ec7cd0a9112bc508332359865b87d96127f1",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014616-n000004-0000-4b51b94a1130f05f.parquet",
-      "sha256": "4b51b94a1130f05fb6730d9130f7d86e18677d812e6171ed65128aec868516c7",
-      "bytes": 557511,
-      "rows": 9,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/dev/oproofs/s00002/r000014/oproofs-s00002-r00014616-n000004-0000-05db9c7538b895a4.parquet",
-      "sha256": "05db9c7538b895a46a064c190bd499dd8a45b4990b9133a5f58916356c496383",
-      "bytes": 206668,
-      "rows": 3,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14616",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14617",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014617.lean\",\"c1c8b09415f18a37609eccedd616019a933e0ecea9285cb684bff3ab4df4a82a\",0,\"theorem_name\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014618.lean\",\"23d10122c822ca8dcb6626fb217e32b8dbcaf127c923f697b32df56702bf39af\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014619.lean\",\"bdb001d430ab574ced0b7bd3cfdc68354d0ff7f5cc305d8e37fc0910bd30c680\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 557511,
+      "path": "data/train/p7e/oproofs-s00002-r00014616-n000004-0000-4b51b94a1130f05f.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 9,
+      "sha256": "4b51b94a1130f05fb6730d9130f7d86e18677d812e6171ed65128aec868516c7"
+    },
+    {
+      "bytes": 206668,
+      "path": "data/dev/p7e/oproofs-s00002-r00014616-n000004-0000-05db9c7538b895a4.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 3,
+      "sha256": "05db9c7538b895a46a064c190bd499dd8a45b4990b9133a5f58916356c496383"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014620-n000004.json b/manifests/batches/oproofs/s00002-r00014620-n000004.json
index a1714114d70f4ab3e773c32a07b2cdc4aa686967..e224206fbc71dd64e3be7e55bda8425507c8835c 100644
--- a/manifests/batches/oproofs/s00002-r00014620-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014620-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014620-n000004",
   "batch_fingerprint": "40537e8daabef0e4007d72ca6b7bb2e62232e9f8c9fa50d00ac6786bb80c7188",
   "evidence": {
@@ -20,22 +19,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014620-n000004-0000-7d7bf09d5feffeea.parquet",
-      "sha256": "7d7bf09d5feffeeab4dc073a0ecfd890e5eff39dbd04d93e8182b78ca4b44d09",
-      "bytes": 197416,
-      "rows": 8,
-      "revision": "4975f56b4c2a45a13b6c0c1fdef732a473bf4ad5"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014620-n000004-0000-f8a9f79f64841fe8.parquet",
-      "sha256": "f8a9f79f64841fe8cba49d339fb9a462f6b300799d7c8d2d9514fdb86e40f930",
-      "bytes": 215756,
-      "rows": 11,
-      "revision": "4975f56b4c2a45a13b6c0c1fdef732a473bf4ad5"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14620",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14621",
@@ -47,5 +31,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014621.lean\",\"03bf7a1a8e3461714eba0eb666bcd13ab1ee3f21adeff1dccbe7aed86d7b6e42\",0,\"sequence_eventually_constant\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014622.lean\",\"bb4e52714495c3dfb050c91711649767c26b6fc203589eefa0379f511873c1c0\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014623.lean\",\"50e93532beba97a679c9c5336b872967dcd1e14e57c0788614b43ad47b590e86\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 197416,
+      "path": "data/train/pfd/oproofs-s00002-r00014620-n000004-0000-7d7bf09d5feffeea.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "7d7bf09d5feffeeab4dc073a0ecfd890e5eff39dbd04d93e8182b78ca4b44d09"
+    },
+    {
+      "bytes": 215756,
+      "path": "data/internal_test/pfd/oproofs-s00002-r00014620-n000004-0000-f8a9f79f64841fe8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 11,
+      "sha256": "f8a9f79f64841fe8cba49d339fb9a462f6b300799d7c8d2d9514fdb86e40f930"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014628-n000004.json b/manifests/batches/oproofs/s00002-r00014628-n000004.json
index 3a5982348bb3df0b491449b219608607a1b91939..ebfa82b3c8ead228336c1d6e2e1a9cf0e19c2851 100644
--- a/manifests/batches/oproofs/s00002-r00014628-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014628-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014628-n000004",
   "batch_fingerprint": "96ffe4973b3c60030702a3234a64747c719753a1bf1220d22a90ca67f2668067",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014628-n000004-0000-e2e02f50e64d8ea8.parquet",
-      "sha256": "e2e02f50e64d8ea85cda313b2c889d17a4538f5f434660e3c80e4efbfa9106b7",
-      "bytes": 355019,
-      "rows": 8,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014628-n000004-0000-986e2bb41619e3af.parquet",
-      "sha256": "986e2bb41619e3afdcb8c6f0db3b832556cc5ef496adcbf6a449522fe7ae9ed2",
-      "bytes": 151505,
-      "rows": 6,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14628",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14629",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014629.lean\",\"372137ca70cf22a5fbf95bfe5e07a7ca5c6e6d55e279cd34316e9e5a7997279a\",0,\"exists_x_with_floor_log_eq_n\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014630.lean\",\"2c6042ea9091546fa949f36a21522a46d3120068a5dc57acedccf145dd932f31\",0,\"not_surjective\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014631.lean\",\"04bd08d80a657e92f6a5789ff1eb1c861f459f8659ae6031d8e4466515bb9275\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 355019,
+      "path": "data/train/pd5/oproofs-s00002-r00014628-n000004-0000-e2e02f50e64d8ea8.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "e2e02f50e64d8ea85cda313b2c889d17a4538f5f434660e3c80e4efbfa9106b7"
+    },
+    {
+      "bytes": 151505,
+      "path": "data/internal_test/pd5/oproofs-s00002-r00014628-n000004-0000-986e2bb41619e3af.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 6,
+      "sha256": "986e2bb41619e3afdcb8c6f0db3b832556cc5ef496adcbf6a449522fe7ae9ed2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014632-n000004.json b/manifests/batches/oproofs/s00002-r00014632-n000004.json
index 696f529fe6f74d6d486c35c81678da0c2da64717..dc9111fddf2b847df6b5d8ba0c655e3139330d93 100644
--- a/manifests/batches/oproofs/s00002-r00014632-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014632-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014632-n000004",
   "batch_fingerprint": "fd0867e7d3e245c0aebc801a0d45143f8864d199834b945dca10eb3dfdd5c332",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014632-n000004-0000-a9c884c235d83827.parquet",
-      "sha256": "a9c884c235d83827290a8552ed83a996b4bed8d39382a0b99b3fba35a838c2c1",
-      "bytes": 438735,
-      "rows": 15,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14632",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14633",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014633.lean\",\"100287fc439d2fdfaad9036a430202701104c047d02b9505a7283c3c8f63ac26\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014634.lean\",\"42125373a8078021b7fdc8a5dbdd53fe359c09a1b20ced71cb10d4bb23f9116e\",0,\"residents_distributed\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014635.lean\",\"0cc1e46a2ad3b15568a40a7da061b7ee83ef325fb86cd651bcf1a636b82f8783\",0,\"values_of_a\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 438735,
+      "path": "data/train/p71/oproofs-s00002-r00014632-n000004-0000-a9c884c235d83827.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 15,
+      "sha256": "a9c884c235d83827290a8552ed83a996b4bed8d39382a0b99b3fba35a838c2c1"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014640-n000004.json b/manifests/batches/oproofs/s00002-r00014640-n000004.json
index fd0e7dc25c0e8da5ba7a6b32b3c95ce0333b0410..0024e0aaa9d803413172dbeedc43ee2ee21088de 100644
--- a/manifests/batches/oproofs/s00002-r00014640-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014640-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014640-n000004",
   "batch_fingerprint": "ed11ffe3e3f664d9a2eacae42120095d6e35c9853b955bd118fff2c4cdfb2446",
   "evidence": {
@@ -19,15 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014640-n000004-0000-6033ce38721db792.parquet",
-      "sha256": "6033ce38721db792589563e8c05b46fb6183a6cde3f2c6518fc3596f67e151a7",
-      "bytes": 632093,
-      "rows": 20,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14640",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14641",
@@ -39,5 +30,14 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014641.lean\",\"dc8e87cc88ee8d1d1156d41412d3e23789e9dc4f4c1f222eaba81a656d4b9ff6\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014642.lean\",\"afe3bc06e946e4f8c280a15bf7bd4045872830e825b261bb1622a4ce22e0e499\",0,\"find_p_value\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014643.lean\",\"b8509c2185c8fa6da2c89a034d1fc1a4557b0ef08f08de523427076527557536\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 632093,
+      "path": "data/train/pff/oproofs-s00002-r00014640-n000004-0000-6033ce38721db792.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 20,
+      "sha256": "6033ce38721db792589563e8c05b46fb6183a6cde3f2c6518fc3596f67e151a7"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014648-n000004.json b/manifests/batches/oproofs/s00002-r00014648-n000004.json
index 07eab4b9f3c4bbb7152beb64711528c7af47fbd7..d510d430176cc876424f4cd0d78eda9e5c64e5f2 100644
--- a/manifests/batches/oproofs/s00002-r00014648-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014648-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014648-n000004",
   "batch_fingerprint": "6568fbfde18a1c3bab6af41e889ead44310735358fb599f4210aa23a7b7d536d",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014648-n000004-0000-24bd353eda549c62.parquet",
-      "sha256": "24bd353eda549c625f44cfef341f131fc7adac622911b88cfd98e0e092b307d1",
-      "bytes": 196041,
-      "rows": 12,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014648-n000004-0000-b442aca8fdefd0ff.parquet",
-      "sha256": "b442aca8fdefd0fff432cd04d6270dd40cd15ca42e0156d59daac8811a41c5ff",
-      "bytes": 154941,
-      "rows": 8,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14648",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14649",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014649.lean\",\"12e6d6545301b2d2f2da1548c4f6d7e1108f3e280f8ec68382abc65611088410\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014650.lean\",\"de53f6b17d7b6346e8872d0c262df798fecac0354402861cc36551576408d417\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014651.lean\",\"6c23458b9804b824c7429aa4f43a55e37cb828b5a4ed5cd7eedceb4157d2f560\",0,\"triangle_equilateral\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 196041,
+      "path": "data/train/p30/oproofs-s00002-r00014648-n000004-0000-24bd353eda549c62.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "24bd353eda549c625f44cfef341f131fc7adac622911b88cfd98e0e092b307d1"
+    },
+    {
+      "bytes": 154941,
+      "path": "data/internal_test/p30/oproofs-s00002-r00014648-n000004-0000-b442aca8fdefd0ff.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 8,
+      "sha256": "b442aca8fdefd0fff432cd04d6270dd40cd15ca42e0156d59daac8811a41c5ff"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014660-n000004.json b/manifests/batches/oproofs/s00002-r00014660-n000004.json
index bf4b0ed9a1d835f3e81447de353529bafd79f96c..b426446be14f347df7356d8219c3f04ed9af5886 100644
--- a/manifests/batches/oproofs/s00002-r00014660-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014660-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014660-n000004",
   "batch_fingerprint": "fcc1f56e2c2cb5f04ce6d9afcc9bbf49519fcbca8604719143054b80720d6799",
   "evidence": {
@@ -19,22 +18,7 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
-  "shards": [
-    {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014660-n000004-0000-491a7e8dd9ab6157.parquet",
-      "sha256": "491a7e8dd9ab6157a8435fb8de98bd6af011b17b9a6fe0112aaa8523b716168d",
-      "bytes": 375643,
-      "rows": 12,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    },
-    {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014660-n000004-0000-a45d653468356817.parquet",
-      "sha256": "a45d653468356817de51876cc646ebf991582498b060188dd39eaf90b0a634e2",
-      "bytes": 113285,
-      "rows": 2,
-      "revision": "cca63309f990e503c768125fee4904c662b2b054"
-    }
-  ],
+  "format": "leangpt-parquet-v2",
   "proof_ids": [
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14660",
     "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14661",
@@ -46,5 +30,21 @@
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014661.lean\",\"4f902851a7bc2a3708c1685616ce8ec702cccdd59b4829094f2e8123b82170b0\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014662.lean\",\"b4c40b4f832282142dd9ca6e0f0fedb3d347a18c74d2ccc9bd1534578c403ac2\",0,\"lean_workbook\"]",
     "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014663.lean\",\"f4c61c9e19e8d0e798b667db25a128564ab7a3915e224846847c67f22ed4e69f\",0,\"lean_workbook\"]"
+  ],
+  "shards": [
+    {
+      "bytes": 375643,
+      "path": "data/train/p34/oproofs-s00002-r00014660-n000004-0000-491a7e8dd9ab6157.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 12,
+      "sha256": "491a7e8dd9ab6157a8435fb8de98bd6af011b17b9a6fe0112aaa8523b716168d"
+    },
+    {
+      "bytes": 113285,
+      "path": "data/internal_test/p34/oproofs-s00002-r00014660-n000004-0000-a45d653468356817.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
+      "rows": 2,
+      "sha256": "a45d653468356817de51876cc646ebf991582498b060188dd39eaf90b0a634e2"
+    }
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/batches/oproofs/s00002-r00014664-n000004.json b/manifests/batches/oproofs/s00002-r00014664-n000004.json
index 4b6be40239463635ecf7bf9f960cc5abd1eabcdb..7ac26ce9bd6365ea54e91daa74d7fbf948a4a0c3 100644
--- a/manifests/batches/oproofs/s00002-r00014664-n000004.json
+++ b/manifests/batches/oproofs/s00002-r00014664-n000004.json
@@ -1,5 +1,4 @@
 {
-  "format": "leangpt-parquet-v2",
   "batch": "oproofs/s00002-r00014664-n000004",
   "batch_fingerprint": "8c235a28e44053ffb6193183bb7a3869862e50a8dfd2e6116ab9054115f373d7",
   "evidence": {
@@ -20,39 +19,40 @@
     "validation_rejected_proofs": 0,
     "zero_transition_proofs": 0
   },
+  "format": "leangpt-parquet-v2",
+  "proof_ids": [
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14664",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14665",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14666",
+    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14667"
+  ],
+  "proof_keys": [
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014664.lean\",\"f536159942735c96fe4978733b328d7cdbbf7b0ff5c8790d759f5f519dda3213\",0,\"problem_one\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014665.lean\",\"470a56be9cfdd4f15ccd5dfa1a887014b0b6e0102d39d481b5a173ddd0baf02c\",0,\"modulo_3m_residue_base_12\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014666.lean\",\"2e3ef892cebf3a0172d7770f23b0f753f5ccace72bdaea95b3b7cda1f22a8c3e\",0,\"lean_workbook\"]",
+    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014667.lean\",\"6b1e72f8894e47673a6911c060801f45a5c3ad5bfe2c12d37416c6be2b0acfec\",0,\"lean_workbook\"]"
+  ],
   "shards": [
     {
-      "path": "data/train/oproofs/s00002/r000014/oproofs-s00002-r00014664-n000004-0000-e1ea48ac5b4a377c.parquet",
-      "sha256": "e1ea48ac5b4a377c21dcec80be169c80b11eb61df7889fc048a7e3d4af471ddc",
       "bytes": 146273,
+      "path": "data/train/p36/oproofs-s00002-r00014664-n000004-0000-e1ea48ac5b4a377c.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 2,
-      "revision": "e1325e3c16e46bdb568894169e36289b974ae168"
+      "sha256": "e1ea48ac5b4a377c21dcec80be169c80b11eb61df7889fc048a7e3d4af471ddc"
     },
     {
-      "path": "data/dev/oproofs/s00002/r000014/oproofs-s00002-r00014664-n000004-0000-029f90503d254d6d.parquet",
-      "sha256": "029f90503d254d6daf85c56c4a6ab6ce1f038a133e11be7807d9ba3b374b40ba",
       "bytes": 75476,
+      "path": "data/dev/p36/oproofs-s00002-r00014664-n000004-0000-029f90503d254d6d.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 3,
-      "revision": "e1325e3c16e46bdb568894169e36289b974ae168"
+      "sha256": "029f90503d254d6daf85c56c4a6ab6ce1f038a133e11be7807d9ba3b374b40ba"
     },
     {
-      "path": "data/internal_test/oproofs/s00002/r000014/oproofs-s00002-r00014664-n000004-0000-f6833287b7a573a5.parquet",
-      "sha256": "f6833287b7a573a56c552be4b9dcc4840d02fd78ed42644940a2025203b19632",
       "bytes": 530344,
+      "path": "data/internal_test/p36/oproofs-s00002-r00014664-n000004-0000-f6833287b7a573a5.parquet",
+      "revision": "70ffb45312b8289673f0f901dd454684dbe80b33",
       "rows": 7,
-      "revision": "e1325e3c16e46bdb568894169e36289b974ae168"
+      "sha256": "f6833287b7a573a56c552be4b9dcc4840d02fd78ed42644940a2025203b19632"
     }
-  ],
-  "proof_ids": [
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14664",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14665",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14666",
-    "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:2:14667"
-  ],
-  "proof_keys": [
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014664.lean\",\"f536159942735c96fe4978733b328d7cdbbf7b0ff5c8790d759f5f519dda3213\",0,\"problem_one\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014665.lean\",\"470a56be9cfdd4f15ccd5dfa1a887014b0b6e0102d39d481b5a173ddd0baf02c\",0,\"modulo_3m_residue_base_12\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014666.lean\",\"2e3ef892cebf3a0172d7770f23b0f753f5ccace72bdaea95b3b7cda1f22a8c3e\",0,\"lean_workbook\"]",
-    "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_014667.lean\",\"6b1e72f8894e47673a6911c060801f45a5c3ad5bfe2c12d37416c6be2b0acfec\",0,\"lean_workbook\"]"
   ]
-}
\ No newline at end of file
+}
diff --git a/manifests/local-seed.json b/manifests/local-seed.json
index 95bd82a17be615ada3355944234aaab689904577..9d4f0464077400135a151b4b5c592417adaca091 100644
--- a/manifests/local-seed.json
+++ b/manifests/local-seed.json
@@ -1,9 +1,7 @@
 {
-  "format": "leangpt-parquet-v2",
-  "status": "partial local seed",
+  "batch_manifest_revision": "fb255a1e392ca61fbbe623790d065a8545a7d7f4",
   "batches": [
     {
-      "format": "leangpt-parquet-v2",
       "batch": "numina/000000",
       "batch_fingerprint": "59e037603c30ac23163ca8e4dc6fe4d899baa4048a8bf234b4dd043f8e7cc06b",
       "evidence": {
@@ -18,15 +16,7 @@
         "transitions": 60,
         "validation_failures": []
       },
-      "shards": [
-        {
-          "path": "data/train/numina-000000-0000-197e5c7246e56b45.parquet",
-          "sha256": "197e5c7246e56b45e41b905fbe0b83f9b11ddac387d0defb3f03c12dfa33111e",
-          "bytes": 369643,
-          "rows": 60,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        }
-      ],
+      "format": "leangpt-parquet-v2",
       "proof_ids": [
         "numina:66fc288f-6119-50bf-adf7-58c0dd297e11",
         "numina:75dd8bba-5a00-5353-8ddb-6a95ea2fec1f",
@@ -40,10 +30,18 @@
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000002.lean\",\"21096a7cdfe02b52b18ecb2ca977264d7ee0fc5f322de60e2bfdaee9822a1bea\",0,\"algebra_4015\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000003.lean\",\"0fbd954c463d1bce7e001076c5354c4b6b70a99b95944a56f727773656e153f1\",0,\"algebra_4016\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000004.lean\",\"c97b1ffe29d1173369fd13eb16b36151f869e6cad7c9e97980325763b4fa677f\",0,\"algebra_4017\"]"
+      ],
+      "shards": [
+        {
+          "bytes": 369643,
+          "path": "data/train/p7f/numina-000000-0000-197e5c7246e56b45.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 60,
+          "sha256": "197e5c7246e56b45e41b905fbe0b83f9b11ddac387d0defb3f03c12dfa33111e"
+        }
       ]
     },
     {
-      "format": "leangpt-parquet-v2",
       "batch": "numina/000001",
       "batch_fingerprint": "ddde25bf51c01969ab3165f7d7bf04eac7691cf3392c81e63e71238704051818",
       "evidence": {
@@ -59,29 +57,7 @@
         "transitions": 25,
         "validation_failures": []
       },
-      "shards": [
-        {
-          "path": "data/train/numina-000001-0000-61cb316995918ff7.parquet",
-          "sha256": "61cb316995918ff73889cb1b50f97500ef8b42a9138d100cef31ad04cb876803",
-          "bytes": 230357,
-          "rows": 23,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        },
-        {
-          "path": "data/internal_test/numina-000001-0000-ec6c9f4b32117704.parquet",
-          "sha256": "ec6c9f4b3211770495fab9496ebd8cd245c0eeed64c4fbd8ba2b01966564a106",
-          "bytes": 35969,
-          "rows": 1,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        },
-        {
-          "path": "data/internal_test/numina-000001-0001-bf21c1123d986223.parquet",
-          "sha256": "bf21c1123d986223b7ad2ca25d9e6da747600fda0f6598ce03be3948f73438d1",
-          "bytes": 1384280,
-          "rows": 1,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        }
-      ],
+      "format": "leangpt-parquet-v2",
       "proof_ids": [
         "numina:296bdb56-e181-55b4-b0cc-a6e351572ad9",
         "numina:2b3d1c1f-26a4-5c56-add3-313a92c19676",
@@ -95,10 +71,32 @@
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000007.lean\",\"59b1497442edc8618f39acf7bcfe50d012e8845f578f9ce6a2132984b8a778a9\",1,\"int_val_poly\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000008.lean\",\"a4874b0807da79b2b334031908f1e6406888c185f7953233c5722bfc177b81ed\",0,\"algebra_4021\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000009.lean\",\"a53ec040965258d769e97ad8c17f018ad1145f15fead0db205bedc7bf25ac048\",1,\"algebra_4022\"]"
+      ],
+      "shards": [
+        {
+          "bytes": 230357,
+          "path": "data/train/p62/numina-000001-0000-61cb316995918ff7.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 23,
+          "sha256": "61cb316995918ff73889cb1b50f97500ef8b42a9138d100cef31ad04cb876803"
+        },
+        {
+          "bytes": 35969,
+          "path": "data/internal_test/p62/numina-000001-0000-ec6c9f4b32117704.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 1,
+          "sha256": "ec6c9f4b3211770495fab9496ebd8cd245c0eeed64c4fbd8ba2b01966564a106"
+        },
+        {
+          "bytes": 1384280,
+          "path": "data/internal_test/p62/numina-000001-0001-bf21c1123d986223.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 1,
+          "sha256": "bf21c1123d986223b7ad2ca25d9e6da747600fda0f6598ce03be3948f73438d1"
+        }
       ]
     },
     {
-      "format": "leangpt-parquet-v2",
       "batch": "numina/000002",
       "batch_fingerprint": "2b15a2bdfb2da1f04b4b9c790a03743010fb472277eafa5aff913d9fae3c6313",
       "evidence": {
@@ -114,29 +112,7 @@
         "transitions": 44,
         "validation_failures": []
       },
-      "shards": [
-        {
-          "path": "data/train/numina-000002-0000-03c4b88854ae1b7a.parquet",
-          "sha256": "03c4b88854ae1b7a3a40b8ca3dcad7f3e5fc31448fbf281e223b8c34c688a93f",
-          "bytes": 116117,
-          "rows": 25,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        },
-        {
-          "path": "data/dev/numina-000002-0000-6ccc4c18f9c0cac3.parquet",
-          "sha256": "6ccc4c18f9c0cac3f518a40bb18af834349471d02f0472f6e66dcea8eccae22c",
-          "bytes": 97257,
-          "rows": 12,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        },
-        {
-          "path": "data/internal_test/numina-000002-0000-9445658db00ece60.parquet",
-          "sha256": "9445658db00ece60b8ee0b39eaedff430360f25cdeab61476c26688c76e36445",
-          "bytes": 52878,
-          "rows": 7,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        }
-      ],
+      "format": "leangpt-parquet-v2",
       "proof_ids": [
         "numina:1a069612-12c5-570a-91cc-6b213866749a",
         "numina:858655a5-3df7-5be6-b5b2-400b9c9a3158",
@@ -150,10 +126,32 @@
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000012.lean\",\"6f9303199371230d6af086967f446fc44bfcc6e8abec98a6d174f2d42936f889\",0,\"algebra_4025\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000013.lean\",\"fdd58da6571d79dac22700db064810847b5d9dc74f206680a8188128de736580\",0,\"algebra_4026\"]",
         "[\"numina\",\"51fa67f1f647ae1ecd81eef9f19306aa8a7b3a94\",\"Full/Proof_000014.lean\",\"674ad57a9cbcc3120f0a93f60c0b574993327f434d94f695d10e52f610d55f2d\",2,\"algebra_4027\"]"
+      ],
+      "shards": [
+        {
+          "bytes": 116117,
+          "path": "data/train/p01/numina-000002-0000-03c4b88854ae1b7a.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 25,
+          "sha256": "03c4b88854ae1b7a3a40b8ca3dcad7f3e5fc31448fbf281e223b8c34c688a93f"
+        },
+        {
+          "bytes": 97257,
+          "path": "data/dev/p01/numina-000002-0000-6ccc4c18f9c0cac3.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 12,
+          "sha256": "6ccc4c18f9c0cac3f518a40bb18af834349471d02f0472f6e66dcea8eccae22c"
+        },
+        {
+          "bytes": 52878,
+          "path": "data/internal_test/p01/numina-000002-0000-9445658db00ece60.parquet",
+          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06",
+          "rows": 7,
+          "sha256": "9445658db00ece60b8ee0b39eaedff430360f25cdeab61476c26688c76e36445"
+        }
       ]
     },
     {
-      "format": "leangpt-parquet-v2",
       "batch": "numina/000003",
       "batch_fingerprint": "5fc4f2a3ba0af5b63236c52e82e63212854f3784b3d56ec236266a758f18eae2",
       "evidence": {
@@ -169,15 +167,7 @@
         "transitions": 118,
         "validation_failures": []
       },
-      "shards": [
-        {
-          "path": "data/train/numina-000003-0000-aff2cb75df3ff6fb.parquet",
-          "sha256": "aff2cb75df3ff6fbfc583906c71b2b8af35dfca9763ee87b11e4713476c0cb2b",
-          "bytes": 552782,
-          "rows": 118,
-          "revision": "738a85f40f998a9d0744c5cabccccd1c2922fe06"
-        }
-      ],
+      "format": "leangpt-parquet-v2",
       "proof_ids": [
         "numina:221193b0-a0d3-5cd5-ab60-28ac4271669b",
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@@ -191,10 +181,18 @@
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@@ -14646,22 +14644,7 @@
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@@ -14691,6 +14688,9 @@
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